Extension: [35,7,9] to [53,8,9] Number of the matrices for extension:1 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 53 1 11111111000000000000000000000000000000000000010000000 22211100220000000000000000000000000000000000001000000 21021021210000000000000000000000000000000000000100000 00000000002222222200000000000000000000000000000010000 00000000002221110022000000000000000000000000000001000 00000000002102102121000000000000000000000000000000100 00000000000000000000222222220000000000000000000000010 00000000000000000000000000001111111111111111100000001 ?8 53 3 8888881_8 1 11111111000000000000000000000000000000000000010000000 22211100220000000000000000000000000000000000001000000 21021021210000000000000000000000000000000000000100000 00000000002222222200000000000000000000000000000010000 00000000002221110022000000000000000000000000000001000 00000000002102102121000000000000000000000000000000100 00000000000000000000222222220000000000000000000000010 00000000000000000000000000001111111111111111100000001 AUT: 1009262592 $1z^{0}+54z^{9}+782z^{18}+1460z^{27}+1560z^{36}+2704z^{45} dd-2$\\ DIFFERENT ENUMERATORS :1 ALL CODES: 1 1 1 AUT: 1009262592 $1z^{0}+54z^{9}+782z^{18}+1460z^{27}+1560z^{36}+2704z^{45} dd-2$\\ Extension: [43,7,9] to [53,8,9] Number of the matrices for extension:3 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 53 1 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 11122200222222000000022222000000000000000000000010000 00000000000000000000000000222222220000000000000001000 00000000000000000000000000222111002200000000000000100 00000000000000000000000000210210212100000000000000010 00000000000000000000000000000000000011111111100000001 Start matrix 1 8 53 2 11111111000000000000000000000000000000000000010000000 00000000222222222222222220000000000000000000001000000 00000000222222111111000002222200000000000000000100000 00000000222111222000111002220022000000000000000010000 00000000111222000222111002220000220000000000000001000 22211100000000000000000000000000002200000000000000100 21021021000000000000000000000000002100000000000000010 00000000000000000000000000000000000011111111100000001 Start matrix 1 8 53 3 11111111000000000000000000000000000000000000010000000 22211100220000000000000000000000000000000000001000000 21021021210000000000000000000000000000000000000100000 00000000002222222200000000000000000000000000000010000 00000000002221110022000000000000000000000000000001000 00000000000000000000222222220000000000000000000000100 00000000000000000000000000002222222200000000000000010 00000000000000000000000000000000000011111111100000001 ?8 53 3 8888883_8 1 11111111000000000000000000000000000000000000010000000 22211100220000000000000000000000000000000000001000000 21021021210000000000000000000000000000000000000100000 00000000002222222200000000000000000000000000000010000 00000000002221110022000000000000000000000000000001000 00000000000000000000222222220000000000000000000000100 00000000000000000000000000002222222200000000000000010 00000000001201201212000000000000000011111111100000001 AUT: 232906752 $1z^{0}+38z^{9}+366z^{18}+1508z^{27}+2776z^{36}+1872z^{45} dd-2$\\ DIFFERENT ENUMERATORS :1 ALL CODES: 1 1 1 AUT: 232906752 $1z^{0}+38z^{9}+366z^{18}+1508z^{27}+2776z^{36}+1872z^{45} dd-2$\\ Extension: [44,7,9] to [53,8,9] Number of the matrices for extension:6 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 53 1 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 22211100222000000000022222222000000000000000000001000 22211100222000000000000000000222222220000000000000100 21021021210000000000000000000000000000000000000000010 00000000000000000000000000000000000001111111100000001 ?8 53 3 8888881_8 1 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 22211100222000000000022222222000000000000000000001000 22211100222000000000000000000222222220000000000000100 21021021210000000000000000000000000000000000000000010 00000000000000000000000000000000000001111111100000001 AUT: 2985984 $1z^{0}+18z^{9}+332z^{18}+1568z^{27}+2838z^{36}+1804z^{45} dd-2$\\ ?8 53 3 8888881_8 2 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 22211100222000000000022222222000000000000000000001000 22211100222000000000000000000222222220000000000000100 21021021210000000000000000000000000000000000000000010 22211100222000000000000000000000000001111111100000001 AUT: 26873856 $1z^{0}+16z^{9}+340z^{18}+1556z^{27}+2846z^{36}+1802z^{45} dd-2$\\ Start matrix 1 8 53 2 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 22211100222000000000022222222000000000000000000001000 21021021210000000000000000000000000000000000000000100 00000000000000000000000000000222222220000000000000010 00000000000000000000000000000000000001111111100000001 ?8 53 3 8888882_8 3 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 22211100222000000000022222222000000000000000000001000 21021021210000000000000000000000000000000000000000100 00000000000000000000000000000222222220000000000000010 00000000000000000000000000000000000001111111100000001 AUT: 17915904 $1z^{0}+20z^{9}+330z^{18}+1562z^{27}+2848z^{36}+1800z^{45} dd-2$\\ Start matrix 1 8 53 3 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000022222222000000000000000000000100 00000000000000000000000000000222222220000000000000010 00000000000000000000000000000000000001111111100000001 ?8 53 3 8888883_8 4 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000022222222000000000000000000000100 00000000000000000000000000000222222220000000000000010 00000000000000000000000000000000000001111111100000001 AUT: 35831808 $1z^{0}+22z^{9}+334z^{18}+1556z^{27}+2840z^{36}+1808z^{45} dd-2$\\ Start matrix 1 8 53 4 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222222222210000000000000000000000000000100000 00000000222222222002222222200000000000000000000010000 00000000000000000000000000022222222000000000000001000 00000000000000000000000000022211100220000000000000100 00000000000000000000000000021021021210000000000000010 00000000000000000000000000000000000001111111100000001 ?8 53 3 8888884_8 5 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222222222210000000000000000000000000000100000 00000000222222222002222222200000000000000000000010000 00000000000000000000000000022222222000000000000001000 00000000000000000000000000022211100220000000000000100 00000000000000000000000000021021021210000000000000010 00000000000000000000000000000000000001111111100000001 AUT: 38817792 $1z^{0}+36z^{9}+314z^{18}+1514z^{27}+2928z^{36}+1768z^{45} dd-2$\\ ?8 53 3 8888884_8 6 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222222222210000000000000000000000000000100000 00000000222222222002222222200000000000000000000010000 00000000000000000000000000022222222000000000000001000 00000000000000000000000000022211100220000000000000100 00000000000000000000000000021021021210000000000000010 00000000222222222000000000000000000001111111100000001 AUT: 349360128 $1z^{0}+34z^{9}+268z^{18}+1664z^{27}+2774z^{36}+1820z^{45} dd-2$\\ Start matrix 1 8 53 5 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222222222210000000000000000000000000000100000 00000000000000000002222222200000000000000000000010000 00000000000000000002221110022000000000000000000001000 00000000000000000002102102121000000000000000000000100 00000000000000000000000000000222222220000000000000010 00000000000000000000000000000000000001111111100000001 ?8 53 3 8888885_8 7 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222222222210000000000000000000000000000100000 00000000000000000002222222200000000000000000000010000 00000000000000000002221110022000000000000000000001000 00000000000000000002102102121000000000000000000000100 00000000000000000000000000000222222220000000000000010 00000000000000000000000000000000000001111111100000001 AUT: 232906752 $1z^{0}+38z^{9}+366z^{18}+1508z^{27}+2776z^{36}+1872z^{45} dd-2$\\ Start matrix 1 8 53 6 11111111000000000000000000000000000000000000010000000 00000000222222222222222220000000000000000000001000000 22211100000000000000000002200000000000000000000100000 21021021000000000000000002100000000000000000000010000 00000000000000000000000000022222222000000000000001000 00000000000000000000000000022211100220000000000000100 00000000000000000000000000021021021210000000000000010 00000000000000000000000000000000000001111111100000001 ?8 53 3 8888886_8 8 11111111000000000000000000000000000000000000010000000 00000000222222222222222220000000000000000000001000000 22211100000000000000000002200000000000000000000100000 21021021000000000000000002100000000000000000000010000 00000000000000000000000000022222222000000000000001000 00000000000000000000000000022211100220000000000000100 00000000000000000000000000021021021210000000000000010 00000000000000000000000000000000000001111111100000001 AUT: 1009262592 $1z^{0}+54z^{9}+782z^{18}+1460z^{27}+1560z^{36}+2704z^{45} dd-2$\\ ?8 53 3 8888886_8 9 11111111000000000000000000000000000000000000010000000 00000000222222222222222220000000000000000000001000000 22211100000000000000000002200000000000000000000100000 21021021000000000000000002100000000000000000000010000 00000000000000000000000000022222222000000000000001000 00000000000000000000000000022211100220000000000000100 00000000000000000000000000021021021210000000000000010 00000000222222222000000000000000000001111111100000001 AUT: 18166726656 $1z^{0}+52z^{9}+682z^{18}+314z^{27}+4160z^{36}+1352z^{45} dd-2$\\ DIFFERENT ENUMERATORS :9 ALL CODES: 9 1 1 AUT: 2985984 $1z^{0}+18z^{9}+332z^{18}+1568z^{27}+2838z^{36}+1804z^{45} dd-2$\\ 2 1 AUT: 26873856 $1z^{0}+16z^{9}+340z^{18}+1556z^{27}+2846z^{36}+1802z^{45} dd-2$\\ 3 1 AUT: 17915904 $1z^{0}+20z^{9}+330z^{18}+1562z^{27}+2848z^{36}+1800z^{45} dd-2$\\ 4 1 AUT: 35831808 $1z^{0}+22z^{9}+334z^{18}+1556z^{27}+2840z^{36}+1808z^{45} dd-2$\\ 5 1 AUT: 38817792 $1z^{0}+36z^{9}+314z^{18}+1514z^{27}+2928z^{36}+1768z^{45} dd-2$\\ 6 1 AUT: 349360128 $1z^{0}+34z^{9}+268z^{18}+1664z^{27}+2774z^{36}+1820z^{45} dd-2$\\ 7 1 AUT: 232906752 $1z^{0}+38z^{9}+366z^{18}+1508z^{27}+2776z^{36}+1872z^{45} dd-2$\\ 8 1 AUT: 1009262592 $1z^{0}+54z^{9}+782z^{18}+1460z^{27}+1560z^{36}+2704z^{45} dd-2$\\ 9 1 AUT: 18166726656 $1z^{0}+52z^{9}+682z^{18}+314z^{27}+4160z^{36}+1352z^{45} dd-2$\\ Extension: [46,7,9] to [53,8,9] Number of the matrices for extension:18 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 53 1 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222111111000002222200000000000000100000 22211100222111000222111222002220022000000000000010000 22211100222111222000222111002220000220000000000001000 22211100222222111222000111002220000002200000000000100 21021021210000000000000000000000000000000000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 2 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222111111000002222200000000000000100000 22211100222222111222000111002220022000000000000010000 11122200111111222000222111002220000220000000000001000 11122200111111000222111222002220000002200000000000100 21021021210000000000000000000000000000000000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 3 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222111111000002222200000000000000100000 11122200222222111222222111000000022000000000000010000 11122200111111111222222000002220000220000000000001000 22211100222111222000000000000000000002200000000000100 21021021000000210000000000000000000000000000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 4 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222111111000002222200000000000000100000 11122200222222111222222111000000022000000000000010000 11122200111111111222222000002220000220000000000001000 21021021000000210000000000000000000000000000000000100 00000000222111000000000000000000000002200000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 5 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222111111000002222200000000000000100000 11122200222222111222222111000000022000000000000010000 22211100111111222222222000002220000220000000000001000 22211100222111222000000000000000000002200000000000100 21021021000000210000000000000000000000000000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 6 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222111111000002222200000000000000100000 22211100222222222222222111000000022000000000000010000 11122200111111111222222000002220000220000000000001000 22211100222222111000000000000000000002200000000000100 21021021210000000000000000000000000000000000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 7 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222111111000002222200000000000000100000 22211100222222222222222111000000022000000000000010000 11122200111111111222222000002220000220000000000001000 21021021210000000000000000000000000000000000000000100 00000000002221110000000000000000000002200000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 8 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222111111000002222200000000000000100000 22211100222222222222222111000000022000000000000010000 11122200111111111222222000002220000220000000000001000 21021021210000000000000000000000000000000000000000100 00000000000000000222111000000000000002200000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 9 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 22211100222000000000022222222000000000000000000001000 22211100222000000000022211100220000000000000000000100 00000000000000000000000000000002222222200000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 10 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 22211100222000000000022222222000000000000000000001000 22211100222000000000022211100220000000000000000000100 22211100222000000000000000000002222222200000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 11 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 22211100222000000000022222222000000000000000000001000 00000000000000000000000000000222222220000000000000100 00000000000000000000000000000222111002200000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 12 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 00000000000000000000022222222000000000000000000001000 00000000000000000000022211100220000000000000000000100 00000000000000000000000000000002222222200000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 13 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222000000000022222222000000000000000000010000 00000000000000000000000000000222222220000000000001000 00000000000000000000000000000222111002200000000000100 00000000000000000000000000000210210212100000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 14 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 00000000000000000000022222222000000000000000000010000 00000000000000000000022211100220000000000000000001000 00000000000000000000021021021210000000000000000000100 00000000000000000000000000000002222222200000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 15 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222222222210000000000000000000000000000100000 00000000000000000002222222200000000000000000000010000 00000000000000000002221110022000000000000000000001000 00000000000000000000000000000222222220000000000000100 00000000000000000000000000000222111002200000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 16 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222000000002222222200000000000000000000100000 11122200000222222001110000022000000000000000000010000 00000000000000000000000000000222222220000000000001000 00000000000000000000000000000222111002200000000000100 00000000000000000000000000000210210212100000000000010 00000000000000000000000000000000000000011111100000001 Start matrix 1 8 53 17 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 00000000000000000002222222200000000000000000000100000 00000000000000000002221110022000000000000000000010000 00000000000000000002102102121000000000000000000001000 00000000000000000000000000000222222220000000000000100 00000000000000000000000000000222111002200000000000010 00000000000000000000000000000000000000011111100000001 ?8 53 3 88888817_8 1 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 00000000000000000002222222200000000000000000000100000 00000000000000000002221110022000000000000000000010000 00000000000000000002102102121000000000000000000001000 00000000000000000000000000000222222220000000000000100 00000000000000000000000000000222111002200000000000010 11122200222222000000000000000120120121211111100000001 AUT: 116453376 $1z^{0}+36z^{9}+282z^{18}+746z^{27}+4560z^{36}+936z^{45} dd-2$\\ Start matrix 1 8 53 18 11111111000000000000000000000000000000000000010000000 00000000222222222222222220000000000000000000001000000 00000000222222111111000002222200000000000000000100000 00000000222111222111000000000022222000000000000010000 00000000000222222222000002220022200220000000000001000 22211100000000000000000000000000000002200000000000100 21021021000000000000000000000000000002100000000000010 00000000000000000000000000000000000000011111100000001 DIFFERENT ENUMERATORS :1 ALL CODES: 1 1 1 AUT: 116453376 $1z^{0}+36z^{9}+282z^{18}+746z^{27}+4560z^{36}+936z^{45} dd-2$\\ Extension: [47,7,9] to [53,8,9] Number of the matrices for extension:36 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 53 1 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222222222022222222202222222200000000000010000 00000000111111111022222222202221110022000000000001000 00000000222222222022222222202102102121000000000000100 00000000222111000000000000000000000000220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 2 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222222222022222222202222222200000000000010000 00000000111111111022222222202221110022000000000001000 00000000222222222022222222202102102121000000000000100 00000000222111000022222222200000000000220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 3 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222222222022222222202222222200000000000010000 00000000111111111022222222202221110022000000000001000 00000000222111000000000000000000000000220000000000100 00000000210210210000000000000000000000210000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 4 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222222222022222222202222222200000000000010000 00000000222222222022222222202221110022000000000001000 00000000222222222022222222202102102121000000000000100 00000000222111000000000000000000000000220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 5 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000022222222202200000000000000000010000 00000000210210210022222222202100000000000000000001000 00000000222222222022211100000022000000000000000000100 00000000000000000000000000000000222222220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 6 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000022222222202200000000000000000010000 00000000210210210022222222202100000000000000000001000 00000000000000000022222222200022222222000000000000100 00000000000000000000000000000022211100220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 7 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000022222222202200000000000000000010000 00000000210210210022222222202100000000000000000001000 00000000000000000022211100000022000000000000000000100 00000000000000000000000000000000222222220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 8 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000022222222202200000000000000000010000 00000000210210210022222222202100000000000000000001000 00000000000000000000000000000022222222000000000000100 00000000000000000000000000000022211100220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 9 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000022222222202200000000000000000010000 00000000000000000022222222200022222222000000000001000 00000000000000000022222222200022211100220000000000100 00000000000000000000000000000021021021210000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 10 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000022222222202200000000000000000010000 00000000000000000022211100000022000000000000000001000 00000000000000000021021021000021000000000000000000100 00000000000000000000000000000000222222220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 11 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000022222222202200000000000000000010000 00000000000000000000000000000022222222000000000001000 00000000000000000000000000000022211100220000000000100 00000000000000000000000000000021021021210000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 12 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222222222000000000002222222200000000000010000 00000000222222222000000000002221110022000000000001000 00000000222222222000000000002102102121000000000000100 00000000222111000000000000000000000000220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 13 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222222222000000000002222222200000000000010000 00000000222222222000000000002221110022000000000001000 00000000222222222000000000002102102121000000000000100 00000000000000000022211100000000000000220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 14 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222222222000000000002222222200000000000010000 00000000222222222000000000002221110022000000000001000 00000000000000000022211100000000000000220000000000100 00000000000000000021021021000000000000210000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 15 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000000000000002200000000000000000010000 00000000210210210000000000002100000000000000000001000 00000000000000000022211100000022000000000000000000100 00000000000000000000000000000000222222220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 16 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000000000000002200000000000000000010000 00000000210210210000000000002100000000000000000001000 00000000000000000000000000000022222222000000000000100 00000000000000000000000000000022211100220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 17 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222211111111110000000000000000000100000 00000000222111000000000000002200000000000000000010000 00000000000000000000000000000022222222000000000001000 00000000000000000000000000000022211100220000000000100 00000000000000000000000000000021021021210000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 18 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 11122200222222222222111111002200000000000000000100000 22211100222222222000222000000022222222000000000010000 22211100222222222000222000000022211100220000000001000 22211100222222222000222000000021021021210000000000100 21021021000000000000210000000000000000000000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 19 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 11122200222222222222111111002200000000000000000100000 22211100000000000000222000000022222222000000000010000 22211100000000000000222000000022211100220000000001000 22211100000000000000222000000021021021210000000000100 21021021000000000000210000000000000000000000000000010 00000000000000000000000000000000000000001111100000001 ?8 53 3 88888819_8 1 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 11122200222222222222111111002200000000000000000100000 22211100000000000000222000000022222222000000000010000 22211100000000000000222000000022211100220000000001000 22211100000000000000222000000021021021210000000000100 21021021000000000000210000000000000000000000000000010 00000000111111222222000000000000000000001111100000001 AUT: 8957952 $1z^{0}+16z^{9}+270z^{18}+794z^{27}+4580z^{36}+900z^{45} dd-2$\\ ?8 53 3 88888819_8 2 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 11122200222222222222111111002200000000000000000100000 22211100000000000000222000000022222222000000000010000 22211100000000000000222000000022211100220000000001000 22211100000000000000222000000021021021210000000000100 21021021000000000000210000000000000000000000000000010 22211100111111222222222000000000000000001111100000001 AUT: 4478976 $1z^{0}+16z^{9}+268z^{18}+800z^{27}+4574z^{36}+902z^{45} dd-2$\\ Start matrix 1 8 53 20 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 11122200222222222222111111002200000000000000000100000 22211100000000000000222000000022222222000000000010000 21021021000000000000210000000000000000000000000001000 00000000222111000000000000000000000000220000000000100 00000000210210210000000000000000000000210000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 21 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 11122200222222222222111111002200000000000000000100000 21021021000000000000210000000000000000000000000010000 00000000222111000000000000000022000000000000000001000 00000000210210210000000000000021000000000000000000100 00000000000000000000000000000000222222220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 22 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 11122200222222222222111111002200000000000000000100000 21021021000000000000210000000000000000000000000010000 00000000000000000000000000000022222222000000000001000 00000000000000000000000000000022211100220000000000100 00000000000000000000000000000021021021210000000000010 00000000000000000000000000000000000000001111100000001 ?8 53 3 88888822_8 3 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 11122200222222222222111111002200000000000000000100000 21021021000000000000210000000000000000000000000010000 00000000000000000000000000000022222222000000000001000 00000000000000000000000000000022211100220000000000100 00000000000000000000000000000021021021210000000000010 00000000111111222222000000000000000000001111100000001 AUT: 116453376 $1z^{0}+34z^{9}+234z^{18}+848z^{27}+4508z^{36}+936z^{45} dd-2$\\ ?8 53 3 88888822_8 4 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 11122200222222222222111111002200000000000000000100000 21021021000000000000210000000000000000000000000010000 00000000000000000000000000000022222222000000000001000 00000000000000000000000000000022211100220000000000100 00000000000000000000000000000021021021210000000000010 22211100111111222222222000000000000000001111100000001 AUT: 58226688 $1z^{0}+34z^{9}+232z^{18}+800z^{27}+4610z^{36}+884z^{45} dd-2$\\ Start matrix 1 8 53 23 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 21021021222222222222211110002220000000000000000100000 20101212222222222221021002112110000000000000000010000 01220112221100000000000220110222000000000000000001000 01220112102021000000000220110221000000000000000000100 00000000000000000000000000000000222222220000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 24 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 11122200222222222111000000000022222222000000000001000 11122200222222222111000000000022211100220000000000100 00000000000000000000000000000021021021210000000000010 00000000000000000000000000000000000000001111100000001 Start matrix 1 8 53 25 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 22211100222222222222000000000022222222000000000001000 22211100222222222222000000000022211100220000000000100 00000000000000000000000000000021021021210000000000010 00000000000000000000000000000000000000001111100000001 ?8 53 3 88888825_8 5 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 22211100222222222222000000000022222222000000000001000 22211100222222222222000000000022211100220000000000100 00000000000000000000000000000021021021210000000000010 00000000111111222222000000000000000000001111100000001 AUT: 26873856 $1z^{0}+18z^{9}+260z^{18}+812z^{27}+4566z^{36}+904z^{45} dd-2$\\ ?8 53 3 88888825_8 6 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 22211100222222222222000000000022222222000000000001000 22211100222222222222000000000022211100220000000000100 00000000000000000000000000000021021021210000000000010 11122200222222000000000000000000000000001111100000001 AUT: 8957952 $1z^{0}+18z^{9}+264z^{18}+800z^{27}+4578z^{36}+900z^{45} dd-2$\\ Start matrix 1 8 53 26 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 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$1z^{0}+34z^{9}+232z^{18}+800z^{27}+4610z^{36}+884z^{45} dd-2$\\ 5 1 AUT: 26873856 $1z^{0}+18z^{9}+260z^{18}+812z^{27}+4566z^{36}+904z^{45} dd-2$\\ 6 1 AUT: 8957952 $1z^{0}+18z^{9}+264z^{18}+800z^{27}+4578z^{36}+900z^{45} dd-2$\\ 7 1 AUT: 349360128 $1z^{0}+36z^{9}+278z^{18}+650z^{27}+4764z^{36}+832z^{45} dd-2$\\ 8 1 AUT: 116453376 $1z^{0}+36z^{9}+282z^{18}+746z^{27}+4560z^{36}+936z^{45} dd-2$\\ 9 1 AUT: 53747712 $1z^{0}+18z^{9}+278z^{18}+776z^{27}+4584z^{36}+904z^{45} dd-2$\\ Extension: [48,7,9] to [53,8,9] Number of the matrices for extension:111 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 53 1 11111111000000000000000000000000000000000000010000000 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00000000000222222222000002220022200220000000000001000 00000000222222222000000001110011100002200000000000100 22211100000000000000000000000000000000022000000000010 00000000000000000000000000000000000000000111100000001 DIFFERENT ENUMERATORS :2 ALL CODES: 2 1 1 AUT: 262020096 $1z^{0}+30z^{9}+126z^{18}+764z^{27}+5016z^{36}+624z^{45} dd-2$\\ 2 1 AUT: 107495424 $1z^{0}+20z^{9}+150z^{18}+770z^{27}+4972z^{36}+648z^{45} dd-2$\\ Extension: [49,7,9] to [53,8,9] Number of the matrices for extension:209 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 53 1 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 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22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 22211100222222222222000000000022222222000000000001000 22211100222222222222000000000022211100220000000000100 00000000222111000000000000000000000000002200000000010 00000000000000111222000000000012012012120011100000001 AUT: 2239488 $1z^{0}+14z^{9}+120z^{18}+824z^{27}+4978z^{36}+624z^{45} dd-2$\\ Start matrix 1 8 53 181 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 22211100222222222222000000000022222222000000000001000 00000000222111000000000000000000000000220000000000100 00000000000000222111000000000000000000002200000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 182 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 22211100222000000000000000000022222222000000000001000 22211100222000000000000000000022211100220000000000100 00000000000222111000000000000000000000002200000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 183 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 00000000222111000000000000000022000000000000000001000 00000000000000222111000000000000220000000000000000100 00000000000000000000000000000000002222222200000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 184 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 00000000222111000000000000000022000000000000000001000 00000000000000000000000000000000222222220000000000100 00000000000000000000000000000000222111002200000000010 00000000000000000000000000000000000000000011100000001 ?8 53 3 888888184_8 12 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 00000000222111000000000000000022000000000000000001000 00000000000000000000000000000000222222220000000000100 00000000000000000000000000000000222111002200000000010 00000000000000111222000000000000120120121211100000001 AUT: 53747712 $1z^{0}+20z^{9}+150z^{18}+698z^{27}+5116z^{36}+576z^{45} dd-2$\\ ?8 53 3 888888184_8 13 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 22211100222222222222210210212100000000000000000010000 00000000222111000000000000000022000000000000000001000 00000000000000000000000000000000222222220000000000100 00000000000000000000000000000000222111002200000000010 22211100222222111000000000000000120120121211100000001 AUT: 53747712 $1z^{0}+20z^{9}+132z^{18}+806z^{27}+4954z^{36}+648z^{45} dd-2$\\ Start matrix 1 8 53 185 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 00000000222111000000000000000022000000000000000010000 00000000000000000000000000000000222222220000000001000 00000000000000000000000000000000222111002200000000100 00000000000000000000000000000000210210212100000000010 00000000000000000000000000000000000000000011100000001 ?8 53 3 888888185_8 14 11111111000000000000000000000000000000000000010000000 22211100222222222222222222220000000000000000001000000 22211100222222222222222111002200000000000000000100000 00000000222111000000000000000022000000000000000010000 00000000000000000000000000000000222222220000000001000 00000000000000000000000000000000222111002200000000100 00000000000000000000000000000000210210212100000000010 00000000000000111122220120121200000000000011100000001 AUT: 174680064 $1z^{0}+32z^{9}+174z^{18}+662z^{27}+5068z^{36}+624z^{45} dd-2$\\ Start matrix 1 8 53 186 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222222111111222222111111000022000000000010000 00000000222111222111222111222111000000220000000001000 00000000222222111111111111222222000000002200000000100 00000000210210210210210210210210212121212100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 187 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222222111111222222111111000022000000000010000 00000000222111222111222111222111000000220000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 188 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222222111111222222111111000022000000000010000 00000000222222111111111111222222000000220000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 189 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222222111111222222111111000022000000000010000 00000000221100221100221100221100212121222200000001000 00000000202110211020211020110022212121222100000000100 00000000022020010110222222202020000000210000000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 190 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222222111111222222111111000022000000000010000 00000000221100221100221100221100212121222200000001000 00000000202110211020211020110022212121222100000000100 00000000100101202002020220222222000000210000000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 191 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222222111111222222111111000022000000000010000 00000000222000111000222222222000000000220000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 192 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222211110000222211110000212122222200000010000 00000000221021102100211110002220212122222100000001000 00000000222002222022210021001002000021000000000000100 00000000001220011200202220220222000000210000000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 193 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222211110000222222222210212122200000000010000 00000000110022002211222222222210212111020000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 194 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222211110000222222222210212122200000000010000 00000000220011002211222222222120121222020000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 195 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222111000000222222222000000022000000000010000 00000000222222222000222111000000000000220000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 196 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222111000000222222222000000022000000000010000 00000000000222222222222000000111000000220000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 197 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222111111111111002200000000000100000 00000000222111000000222222222000000022000000000010000 00000000000000222111222222222000000000220000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 198 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222222111111000002222200000000100000 00000000222222222221100221100221102211020000000010000 00000000222222222102120201021212012120120000000001000 00000000222222210222021211002201212101210000000000100 22211100000000000000000000000000000000002200000000010 00000000000000000000000000000000000000000011100000001 ?8 53 3 888888198_8 15 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222222111111000002222200000000100000 00000000222222222221100221100221102211020000000010000 00000000222222222102120201021212012120120000000001000 00000000222222210222021211002201212101210000000000100 22211100000000000000000000000000000000002200000000010 12012012111222000000000000000000000000001211100000001 AUT: 403107840 $1z^{0}+8z^{9}+78z^{18}+662z^{27}+5452z^{36}+360z^{45} dd-2$\\ Start matrix 1 8 53 199 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222222111111000002222200000000100000 00000000222222222221100221100221102211020000000010000 00000000222222222102120201021212012120120000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 ?8 53 3 888888199_8 16 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222222111111000002222200000000100000 00000000222222222221100221100221102211020000000010000 00000000222222222102120201021212012120120000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000122220000111012102120120211021220011100000001 AUT: 524040192 $1z^{0}+26z^{9}+24z^{18}+824z^{27}+5218z^{36}+468z^{45} dd-2$\\ Start matrix 1 8 53 200 11111111000000000000000000000000000000000000010000000 00000000222222222222222222222222220000000000001000000 00000000222222222222222111111000002222200000000100000 00000000222222222221100221100221102211020000000010000 00000000222222222212010201021102121021220000000001000 22211100000000000000000000000000000000002200000000100 21021021000000000000000000000000000000002100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 201 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222211110002220000000000000000000000000100000 01220112221122001102202000000000000000000000000010000 00000000000000000000000222222222222222220000000001000 00000000000000000000000222222222222111002200000000100 00000000000000000000000210000000000210212100000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 202 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222211110002220000000000000000000000000100000 00000000000000000000002222222200000000000000000010000 00000000000000000000002221110022000000000000000001000 00000000000000000000000000000000222222220000000000100 00000000000000000000000000000000222111002200000000010 00000000000000000000000000000000000000000011100000001 ?8 53 3 888888202_8 17 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222211110002220000000000000000000000000100000 00000000000000000000002222222200000000000000000010000 00000000000000000000002221110022000000000000000001000 00000000000000000000000000000000222222220000000000100 00000000000000000000000000000000222111002200000000010 01220112112222001102201201201212120120121211100000001 AUT: 644972544 $1z^{0}+18z^{9}+120z^{18}+512z^{27}+5586z^{36}+324z^{45} dd-2$\\ Start matrix 1 8 53 203 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 00000000000000000000022222222222222222000000000001000 00000000000000000000022222222222211100220000000000100 00000000000000000000022211100000000000002200000000010 00000000000000000000000000000000000000000011100000001 ?8 53 3 888888203_8 18 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 22211100222210210212100000000000000000000000000010000 00000000000000000000022222222222222222000000000001000 00000000000000000000022222222222211100220000000000100 00000000000000000000022211100000000000002200000000010 12012012120000000000000000011122200000000011100000001 AUT: 4478976 $1z^{0}+14z^{9}+138z^{18}+788z^{27}+4996z^{36}+624z^{45} dd-2$\\ Start matrix 1 8 53 204 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 22211100222222111002200000000000000000000000000100000 00000000000000000000022222222222222222000000000010000 00000000000000000000022222222222211100220000000001000 00000000000000000000022222222221021021210000000000100 00000000222111000000000000000000000000002200000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 205 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 21021021222222222210000000000000000000000000000100000 00000000000000000002222222222222222200000000000010000 00000000000000000002222221111110000022222000000001000 00000000000000000002211002211002211022110200000000100 00000000000000000002010212120101021221201200000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 206 11111111000000000000000000000000000000000000010000000 22211100222222222220000000000000000000000000001000000 11122200222222000002222200000000000000000000000100000 00000000000000000000000022222222000000000000000010000 00000000000000000000000022211100220000000000000001000 00000000000000000000000021021021210000000000000000100 00000000000000000000000000000000002222222200000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 207 11111111000000000000000000000000000000000000010000000 00000000222222222222222220000000000000000000001000000 00000000222222111111000002222200000000000000000100000 00000000222111222000111002220022000000000000000010000 22211100000000000000000000000000220000000000000001000 21021021000000000000000000000000210000000000000000100 00000000000000000000000000000000002222222200000000010 00000000000000000000000000000000000000000011100000001 Start matrix 1 8 53 208 11111111000000000000000000000000000000000000010000000 00000000222222222222222220000000000000000000001000000 00000000222222111111000002222200000000000000000100000 22211100000000000000000000000022000000000000000010000 21021021000000000000000000000021000000000000000001000 00000000000000000000000000000000222222220000000000100 00000000000000000000000000000000222111002200000000010 00000000000000000000000000000000000000000011100000001 ?8 53 3 888888208_8 19 11111111000000000000000000000000000000000000010000000 00000000222222222222222220000000000000000000001000000 00000000222222111111000002222200000000000000000100000 22211100000000000000000000000022000000000000000010000 21021021000000000000000000000021000000000000000001000 00000000000000000000000000000000222222220000000000100 00000000000000000000000000000000222111002200000000010 00000000000000111222000000000000120120121211100000001 AUT: 116453376 $1z^{0}+34z^{9}+234z^{18}+848z^{27}+4508z^{36}+936z^{45} dd-2$\\ ?8 53 3 888888208_8 20 11111111000000000000000000000000000000000000010000000 00000000222222222222222220000000000000000000001000000 00000000222222111111000002222200000000000000000100000 22211100000000000000000000000022000000000000000010000 21021021000000000000000000000021000000000000000001000 00000000000000000000000000000000222222220000000000100 00000000000000000000000000000000222111002200000000010 00000000111000111222222002220000120120121211100000001 AUT: 465813504 $1z^{0}+34z^{9}+216z^{18}+416z^{27}+5426z^{36}+468z^{45} dd-2$\\ Start matrix 1 8 53 209 11111111000000000000000000000000000000000000010000000 22211100220000000000000000000000000000000000001000000 21021021210000000000000000000000000000000000000100000 00000000002222222200000000000000000000000000000010000 00000000000000000022222222000000000000000000000001000 00000000000000000000000000222222220000000000000000100 00000000000000000000000000000000002222222200000000010 00000000000000000000000000000000000000000011100000001 DIFFERENT ENUMERATORS :20 ALL CODES: 20 1 1 AUT: 373248 $1z^{0}+10z^{9}+132z^{18}+812z^{27}+4982z^{36}+624z^{45} dd-2$\\ 2 1 AUT: 8957952 $1z^{0}+16z^{9}+126z^{18}+794z^{27}+5012z^{36}+612z^{45} dd-2$\\ 3 1 AUT: 4478976 $1z^{0}+16z^{9}+108z^{18}+848z^{27}+4958z^{36}+630z^{45} dd-2$\\ 4 1 AUT: 9704448 $1z^{0}+28z^{9}+78z^{18}+866z^{27}+4964z^{36}+624z^{45} dd-2$\\ 5 1 AUT: 373248 $1z^{0}+12z^{9}+126z^{18}+818z^{27}+4980z^{36}+624z^{45} dd-2$\\ 6 1 AUT: 17915904 $1z^{0}+18z^{9}+138z^{18}+800z^{27}+4956z^{36}+648z^{45} dd-2$\\ 7 1 AUT: 4478976 $1z^{0}+18z^{9}+120z^{18}+800z^{27}+5010z^{36}+612z^{45} dd-2$\\ 8 1 AUT: 19408896 $1z^{0}+30z^{9}+126z^{18}+764z^{27}+5016z^{36}+624z^{45} dd-2$\\ 9 1 AUT: 40310784 $1z^{0}+12z^{9}+102z^{18}+674z^{27}+5340z^{36}+432z^{45} dd-2$\\ 10 1 AUT: 87340032 $1z^{0}+28z^{9}+74z^{18}+770z^{27}+5168z^{36}+520z^{45} dd-2$\\ 11 1 AUT: 2239488 $1z^{0}+14z^{9}+120z^{18}+824z^{27}+4978z^{36}+624z^{45} dd-2$\\ 12 1 AUT: 53747712 $1z^{0}+20z^{9}+150z^{18}+698z^{27}+5116z^{36}+576z^{45} dd-2$\\ 13 1 AUT: 53747712 $1z^{0}+20z^{9}+132z^{18}+806z^{27}+4954z^{36}+648z^{45} dd-2$\\ 14 1 AUT: 174680064 $1z^{0}+32z^{9}+174z^{18}+662z^{27}+5068z^{36}+624z^{45} dd-2$\\ 15 1 AUT: 403107840 $1z^{0}+8z^{9}+78z^{18}+662z^{27}+5452z^{36}+360z^{45} dd-2$\\ 16 1 AUT: 524040192 $1z^{0}+26z^{9}+24z^{18}+824z^{27}+5218z^{36}+468z^{45} dd-2$\\ 17 1 AUT: 644972544 $1z^{0}+18z^{9}+120z^{18}+512z^{27}+5586z^{36}+324z^{45} dd-2$\\ 18 1 AUT: 4478976 $1z^{0}+14z^{9}+138z^{18}+788z^{27}+4996z^{36}+624z^{45} dd-2$\\ 19 1 AUT: 116453376 $1z^{0}+34z^{9}+234z^{18}+848z^{27}+4508z^{36}+936z^{45} dd-2$\\ 20 1 AUT: 465813504 $1z^{0}+34z^{9}+216z^{18}+416z^{27}+5426z^{36}+468z^{45} dd-2$\\ Extension: [50,7,9] to [53,8,9] Number of the matrices for extension:143 Weights: 9 18 27 36 45 Maximal number for proportional coordinatesTill dimension 1--53; Till dimension 2--53; Till dimension 3--53; Till dimension 4--53; Till dimension 5--53; Till dimension 6--53; Till dimension 7--53; Till dimension 8--53; The minimum distace of the dual codes is: 2 ============================================ Start matrix 1 8 53 1 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 21021021222222222221022222222221102102210000000010000 22211100222222222102221111111111022212100000000001000 20101212222221100222222222222221122202202000000000100 00000000000000000000002221110000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 2 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 21021021222222222221022222222221102102210000000010000 20101212222222211002221111111111122202202000000001000 22211100222221022222222222222221022212100000000000100 00000000000000000000002221110000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 3 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 21021021222222222221022222222221102102210000000010000 20101212222222211002221111111111122202202000000001000 00000000000000000000002221110000000000000220000000100 00000000000000000000002102102100000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 8888883_8 1 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 21021021222222222221022222222221102102210000000010000 20101212222222211002221111111111122202202000000001000 00000000000000000000002221110000000000000220000000100 00000000000000000000002102102100000000000210000000010 00000000111222000000000000000000000000000001100000001 AUT: 3359232 $1z^{0}+12z^{9}+68z^{18}+722z^{27}+5346z^{36}+412z^{45} dd-2$\\ ?8 53 3 8888883_8 2 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 21021021222222222221022222222221102102210000000010000 20101212222222211002221111111111122202202000000001000 00000000000000000000002221110000000000000220000000100 00000000000000000000002102102100000000000210000000010 00000000111222000000002222222220000000000001100000001 AUT: 1679616 $1z^{0}+10z^{9}+68z^{18}+734z^{27}+5330z^{36}+418z^{45} dd-2$\\ Start matrix 1 8 53 4 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 21021021222222222221022222222221102102210000000010000 22211100222222222102222222222221022212100000000001000 20101212222221100222222222222221122202202000000000100 00000000000000000000022211100000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 5 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 21021021222222222221022222222221102102210000000010000 20101212222222211002222222222221122202202000000001000 00000000000000000000022211100000000000000220000000100 00000000000000000000021021021000000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 8888885_8 3 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 21021021222222222221022222222221102102210000000010000 20101212222222211002222222222221122202202000000001000 00000000000000000000022211100000000000000220000000100 00000000000000000000021021021000000000000210000000010 00000000111222000000000000000000000000000001100000001 AUT: 6718464 $1z^{0}+12z^{9}+74z^{18}+722z^{27}+5328z^{36}+424z^{45} dd-2$\\ ?8 53 3 8888885_8 4 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 21021021222222222221022222222221102102210000000010000 20101212222222211002222222222221122202202000000001000 00000000000000000000022211100000000000000220000000100 00000000000000000000021021021000000000000210000000010 00000000111222000000022222222200000000000001100000001 AUT: 3359232 $1z^{0}+10z^{9}+74z^{18}+716z^{27}+5348z^{36}+412z^{45} dd-2$\\ Start matrix 1 8 53 6 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 22211100222222222221022222222222102212100000000010000 21021021222222222102221111111110112102210000000001000 20101212222221100222222222222222112202202000000000100 00000000000000000000002221110000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 7 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 22211100222222222221022222222222102212100000000010000 01220112222222222112222111111100111102202000000001000 00000000222111000000000000000000000000000220000000100 00000000210210210000000000000000000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 8888887_8 5 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 22211100222222222221022222222222102212100000000010000 01220112222222222112222111111100111102202000000001000 00000000222111000000000000000000000000000220000000100 00000000210210210000000000000000000000000210000000010 00000000000000000000000111222000000000000001100000001 AUT: 20155392 $1z^{0}+14z^{9}+66z^{18}+716z^{27}+5356z^{36}+408z^{45} dd-2$\\ ?8 53 3 8888887_8 6 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 22211100222222222221022222222222102212100000000010000 01220112222222222112222111111100111102202000000001000 00000000222111000000000000000000000000000220000000100 00000000210210210000000000000000000000000210000000010 00000000222222222000000111222000000000000001100000001 AUT: 10077696 $1z^{0}+12z^{9}+60z^{18}+746z^{27}+5322z^{36}+420z^{45} dd-2$\\ Start matrix 1 8 53 8 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 22211100222222222221022222222222102212100000000010000 20101212222222211002222222222222112202202000000001000 20101212222221020212222222222222112202201000000000100 00000000000000000000022211100000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 9 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 22211100222222222221022222222222102212100000000010000 20101212222222211002222222222222112202202000000001000 00000000000000000000022211100000000000000220000000100 00000000000000000000021021021000000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 8888889_8 7 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 22211100222222222221022222222222102212100000000010000 20101212222222211002222222222222112202202000000001000 00000000000000000000022211100000000000000220000000100 00000000000000000000021021021000000000000210000000010 00000000111222000000000000000000000000000001100000001 AUT: 20155392 $1z^{0}+14z^{9}+78z^{18}+716z^{27}+5320z^{36}+432z^{45} dd-2$\\ ?8 53 3 8888889_8 8 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222211111111111110002220000000100000 22211100222222222221022222222222102212100000000010000 20101212222222211002222222222222112202202000000001000 00000000000000000000022211100000000000000220000000100 00000000000000000000021021021000000000000210000000010 00000000111222000000022222222200000000000001100000001 AUT: 10077696 $1z^{0}+12z^{9}+72z^{18}+710z^{27}+5358z^{36}+408z^{45} dd-2$\\ Start matrix 1 8 53 10 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 21021021111111111021000222222222000000000000000001000 22211100222222222022200222111000000000022000000000100 00000000222111000000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 11 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 21021021111111111021000222222222000000000000000001000 22211100222222222022200222111000000000022000000000100 00000000222111000000000222222222000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 12 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 21021021111111111021000222222222000000000000000001000 22211100222222222022200222111000000000022000000000100 11122200222111000011100222222222000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 13 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 21021021111111111021000222222222000000000000000001000 00000000222111000000000222222222000000022000000000100 00000000000000000000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 14 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 21021021111111111021000222222222000000000000000001000 00000000222111000000000222222222000000022000000000100 00000000222222222000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 15 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 21021021111111111021000222222222000000000000000001000 00000000222111000000000000000000000000022000000000100 00000000000000000000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 16 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 22211100222222222022200222111000000000022000000001000 11122200222222222011100210210210000000021000000000100 00000000222111000000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 17 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 22211100222222222022200222111000000000022000000001000 11122200222222222011100210210210000000021000000000100 00000000222111000000000222222222000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 18 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 22211100222222222022200222111000000000022000000001000 11122200222222222011100210210210000000021000000000100 22211100222111000022200000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 19 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 22211100222222222022200222111000000000022000000001000 11122200222111000011100222222222000000000220000000100 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22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 22211100222111000022200000000000000000022000000001000 22211100000000000022200222111000000000000220000000100 21021021000000000021000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 27 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 22211100222111000022200000000000000000022000000001000 21021021222222222021000000000000000000000000000000100 00000000000000000000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 28 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 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11122200222222222211110222222222210212100000000010000 00000000222111000000000222222222000000022000000001000 00000000222222222000000222111000000000000220000000100 21021021000000000021000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 31 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222211110222222222210212100000000010000 21021021000000000021000000000000000000000000000001000 00000000222111000000000000000000000000022000000000100 00000000000000000000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 32 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 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00000000000000000000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 37 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 21021021211111111110000222222222000000000000000001000 11122200122211110001000222222222000000022000000000100 22211100222222222222000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 38 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 21021021211111111110000222222222000000000000000001000 22211100222222222222000222111000000000022000000000100 00000000022211100000000000000000000000000220000000010 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11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 21021021211111111110000222222222000000000000000001000 00000000022222222200000222111000000000022000000000100 00000000022211100000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 42 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 21021021211111111110000222222222000000000000000001000 00000000022222222200000222111000000000022000000000100 00000000022211100000000222222222000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 43 11111111000000000000000000000000000000000000010000000 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22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222222222111000222111000000000022000000001000 11122200222222222111000210210210000000021000000000100 00000000222111000000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 46 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222222222111000222111000000000022000000001000 11122200222222222111000210210210000000021000000000100 00000000222111000000000222222222000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 47 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 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11122200222222222111000222111000000000022000000001000 21021021000000000210000222222222000000000000000000100 00000000222111000000000222222222000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 50 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222222222111000222111000000000022000000001000 00000000222111000000000222222222000000000220000000100 21021021000000000210000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 51 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222222222111000222111000000000022000000001000 21021021000000000210000000000000000000000000000000100 00000000222111000000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 52 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 22211100222222222222000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888852_8 9 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 22211100222222222222000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000111222000000000000000000000000001100000001 AUT: 559872 $1z^{0}+8z^{9}+108z^{18}+842z^{27}+5002z^{36}+600z^{45} dd-2$\\ ?8 53 3 88888852_8 10 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 22211100222222222222000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000111222000000222222222000000000001100000001 AUT: 62208 $1z^{0}+6z^{9}+114z^{18}+836z^{27}+5004z^{36}+600z^{45} dd-2$\\ ?8 53 3 88888852_8 11 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 22211100222222222222000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 11122200111222000111000222222222000000000001100000001 AUT: 279936 $1z^{0}+6z^{9}+110z^{18}+848z^{27}+4992z^{36}+604z^{45} dd-2$\\ Start matrix 1 8 53 53 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 22211100222222222222000222111000000000000220000000100 21021021000210000000000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 54 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 21021021000210000000000222222222000000000000000000100 00000000000000000000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 55 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 21021021000210000000000000000000000000000000000000100 00000000000000000000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 56 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888856_8 12 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000111222000000000000000000000000001100000001 AUT: 2239488 $1z^{0}+14z^{9}+120z^{18}+824z^{27}+4978z^{36}+624z^{45} dd-2$\\ ?8 53 3 88888856_8 13 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000111222000000222222222000000000001100000001 AUT: 373248 $1z^{0}+12z^{9}+126z^{18}+818z^{27}+4980z^{36}+624z^{45} dd-2$\\ ?8 53 3 88888856_8 14 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 22211100222111000222000000000000000000000001100000001 AUT: 373248 $1z^{0}+12z^{9}+108z^{18}+818z^{27}+5034z^{36}+588z^{45} dd-2$\\ ?8 53 3 88888856_8 15 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 11122200222111111000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 11122200111222000111000222222222000000000001100000001 AUT: 1119744 $1z^{0}+12z^{9}+104z^{18}+830z^{27}+5022z^{36}+592z^{45} dd-2$\\ Start matrix 1 8 53 57 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 22211100222222222222000222111000000000022000000001000 22211100222222222222000210210210000000021000000000100 00000000222111000000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888857_8 16 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 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00000000000000000000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 70 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 22211100222222111000000000000000000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888870_8 19 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 22211100222222111000000000000000000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 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00000000002221110000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 74 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 00000000222222222000000222111000000000022000000001000 00000000222111000000000222222222000000000220000000100 21021021000000000210000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 75 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 00000000222111000000000222222222000000022000000001000 21021021000000210000000000000000000000000000000000100 00000000000000000000000222111000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 76 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 00000000222111000000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888876_8 21 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 00000000222111000000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000111222000000000000000000000001100000001 AUT: 6718464 $1z^{0}+14z^{9}+138z^{18}+716z^{27}+5140z^{36}+552z^{45} dd-2$\\ ?8 53 3 88888876_8 22 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 00000000222111000000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000111222000222222222000000000001100000001 AUT: 3359232 $1z^{0}+12z^{9}+140z^{18}+722z^{27}+5130z^{36}+556z^{45} dd-2$\\ Start matrix 1 8 53 77 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000000222111000000000022000000000100 00000000002221110000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 78 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 00000000000000000000000222111000000000022000000001000 00000000000000000000000210210210000000021000000000100 00000000222111000000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888878_8 23 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222210222222222210212100000000010000 00000000000000000000000222111000000000022000000001000 00000000000000000000000210210210000000021000000000100 00000000222111000000000000000000000000000220000000010 00000000000000111222000000000000000000000001100000001 AUT: 40310784 $1z^{0}+16z^{9}+142z^{18}+710z^{27}+5132z^{36}+560z^{45} dd-2$\\ Start matrix 1 8 53 79 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 22211100222111000222000000000000000000000220000001000 22211100210210210222000000000000000000000210000000100 21021021000000000210000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888879_8 24 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 22211100222111000222000000000000000000000220000001000 22211100210210210222000000000000000000000210000000100 21021021000000000210000000000000000000000000000000010 00000000222222222000000000000111222000000001100000001 AUT: 559872 $1z^{0}+10z^{9}+94z^{18}+872z^{27}+4976z^{36}+608z^{45} dd-2$\\ ?8 53 3 88888879_8 25 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 22211100222111000222000000000000000000000220000001000 22211100210210210222000000000000000000000210000000100 21021021000000000210000000000000000000000000000000010 22211100000000000222000000000111222000000001100000001 AUT: 186624 $1z^{0}+10z^{9}+112z^{18}+818z^{27}+5030z^{36}+590z^{45} dd-2$\\ ?8 53 3 88888879_8 26 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 22211100222111000222000000000000000000000220000001000 22211100210210210222000000000000000000000210000000100 21021021000000000210000000000000000000000000000000010 22211100222222222222000000000111222000000001100000001 AUT: 186624 $1z^{0}+10z^{9}+96z^{18}+866z^{27}+4982z^{36}+606z^{45} dd-2$\\ Start matrix 1 8 53 80 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 22211100222111000222000000000000000000000220000001000 22211100210210210222000000000000000000000210000000100 21021021222222222210000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888880_8 27 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 22211100222111000222000000000000000000000220000001000 22211100210210210222000000000000000000000210000000100 21021021222222222210000000000000000000000000000000010 00000000222222222000000000000111222000000001100000001 AUT: 46656 $1z^{0}+4z^{9}+118z^{18}+836z^{27}+5000z^{36}+602z^{45} dd-2$\\ ?8 53 3 88888880_8 28 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 22211100222111000222000000000000000000000220000001000 22211100210210210222000000000000000000000210000000100 21021021222222222210000000000000000000000000000000010 22211100222222222222000000000111222000000001100000001 AUT: 31104 $1z^{0}+4z^{9}+120z^{18}+830z^{27}+5006z^{36}+600z^{45} dd-2$\\ Start matrix 1 8 53 81 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 21021021000000000210000000000000000000000000000001000 00000000222111000000000000000000000000000220000000100 00000000210210210000000000000000000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888881_8 29 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 21021021000000000210000000000000000000000000000001000 00000000222111000000000000000000000000000220000000100 00000000210210210000000000000000000000000210000000010 00000000000000000000000000000111222000000001100000001 AUT: 17915904 $1z^{0}+18z^{9}+102z^{18}+800z^{27}+5064z^{36}+576z^{45} dd-2$\\ ?8 53 3 88888881_8 30 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 21021021000000000210000000000000000000000000000001000 00000000222111000000000000000000000000000220000000100 00000000210210210000000000000000000000000210000000010 00000000222222222000000000000111222000000001100000001 AUT: 4478976 $1z^{0}+16z^{9}+88z^{18}+854z^{27}+5006z^{36}+596z^{45} dd-2$\\ ?8 53 3 88888881_8 31 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 11122200222222222111000222111000000000022000000010000 21021021000000000210000000000000000000000000000001000 00000000222111000000000000000000000000000220000000100 00000000210210210000000000000000000000000210000000010 22211100222222222222000000000111222000000001100000001 AUT: 8957952 $1z^{0}+16z^{9}+72z^{18}+902z^{27}+4958z^{36}+612z^{45} dd-2$\\ Start matrix 1 8 53 82 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222000222111000000000022000000010000 22211100222222111000000000000000000000000220000001000 22211100222210210210000000000000000000000210000000100 21021021210000000000000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888882_8 32 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222000222111000000000022000000010000 22211100222222111000000000000000000000000220000001000 22211100222210210210000000000000000000000210000000100 21021021210000000000000000000000000000000000000000010 22211100222000000000000000000111222000000001100000001 AUT: 373248 $1z^{0}+10z^{9}+114z^{18}+812z^{27}+5036z^{36}+588z^{45} dd-2$\\ ?8 53 3 88888882_8 33 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222000222111000000000022000000010000 22211100222222111000000000000000000000000220000001000 22211100222210210210000000000000000000000210000000100 21021021210000000000000000000000000000000000000000010 22211100222222222222000000000111222000000001100000001 AUT: 3359232 $1z^{0}+10z^{9}+112z^{18}+836z^{27}+4994z^{36}+608z^{45} dd-2$\\ Start matrix 1 8 53 83 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222000222111000000000022000000010000 22211100222222111000000000000000000000000220000001000 22211100222210210210000000000000000000000210000000100 21021021221022222222000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888883_8 34 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222000222111000000000022000000010000 22211100222222111000000000000000000000000220000001000 22211100222210210210000000000000000000000210000000100 21021021221022222222000000000000000000000000000000010 22211100222222222222000000000111222000000001100000001 AUT: 839808 $1z^{0}+4z^{9}+136z^{18}+800z^{27}+5018z^{36}+602z^{45} dd-2$\\ Start matrix 1 8 53 84 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222000222111000000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000002221110000000000000000000000000220000000100 00000000002102102100000000000000000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888884_8 35 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222000222111000000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000002221110000000000000000000000000220000000100 00000000002102102100000000000000000000000210000000010 00000000000000000000000000000111222000000001100000001 AUT: 53747712 $1z^{0}+18z^{9}+116z^{18}+776z^{27}+5070z^{36}+580z^{45} dd-2$\\ ?8 53 3 88888884_8 36 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222000222111000000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000002221110000000000000000000000000220000000100 00000000002102102100000000000000000000000210000000010 00000000002222222220000000000111222000000001100000001 AUT: 4478976 $1z^{0}+16z^{9}+90z^{18}+848z^{27}+5012z^{36}+594z^{45} dd-2$\\ ?8 53 3 88888884_8 37 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222222222000222111000000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000002221110000000000000000000000000220000000100 00000000002102102100000000000000000000000210000000010 22211100222222222222000000000111222000000001100000001 AUT: 80621568 $1z^{0}+16z^{9}+88z^{18}+872z^{27}+4970z^{36}+614z^{45} dd-2$\\ Start matrix 1 8 53 85 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222111000000222222222000000022000000010000 21021021210000000000000222222222000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888885_8 38 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222111000000222222222000000022000000010000 21021021210000000000000222222222000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000111222222222222000000000001100000001 AUT: 373248 $1z^{0}+10z^{9}+132z^{18}+812z^{27}+4982z^{36}+624z^{45} dd-2$\\ Start matrix 1 8 53 86 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222111000000222222222000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888886_8 39 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222111000000222222222000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000111222000000000000000000001100000001 AUT: 4478976 $1z^{0}+18z^{9}+120z^{18}+800z^{27}+5010z^{36}+612z^{45} dd-2$\\ ?8 53 3 88888886_8 40 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222111000000222222222000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000111222222222222000000000001100000001 AUT: 4478976 $1z^{0}+16z^{9}+108z^{18}+848z^{27}+4958z^{36}+630z^{45} dd-2$\\ ?8 53 3 88888886_8 41 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222111000000222222222000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 22211100222000000111222000000000000000000001100000001 AUT: 4478976 $1z^{0}+16z^{9}+106z^{18}+800z^{27}+5060z^{36}+578z^{45} dd-2$\\ Start matrix 1 8 53 87 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222000000000000222111000000000022000000010000 22211100222000000000000210210210000000021000000001000 21021021210000000000000222222222000000000000000000100 00000000000222111000000222222222000000000220000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888887_8 42 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222000000000000222111000000000022000000010000 22211100222000000000000210210210000000021000000001000 21021021210000000000000222222222000000000000000000100 00000000000222111000000222222222000000000220000000010 00000000000000000111222222222222000000000001100000001 AUT: 419904 $1z^{0}+4z^{9}+118z^{18}+836z^{27}+5000z^{36}+602z^{45} dd-2$\\ Start matrix 1 8 53 88 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222000000000000222111000000000022000000010000 22211100222000000000000210210210000000021000000001000 00000000000222111000000222222222000000000220000000100 21021021210000000000000000000000000000000000000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888888_8 43 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222000000000000222111000000000022000000010000 22211100222000000000000210210210000000021000000001000 00000000000222111000000222222222000000000220000000100 21021021210000000000000000000000000000000000000000010 00000000000000000111222222222222000000000001100000001 AUT: 1679616 $1z^{0}+10z^{9}+94z^{18}+872z^{27}+4976z^{36}+608z^{45} dd-2$\\ Start matrix 1 8 53 89 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222111000000000000000000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888889_8 44 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222111000000000000000000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000111222000000000000000000001100000001 AUT: 17915904 $1z^{0}+18z^{9}+138z^{18}+800z^{27}+4956z^{36}+648z^{45} dd-2$\\ ?8 53 3 88888889_8 45 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 22211100222222111000000000000000000000022000000010000 21021021210000000000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000111222222222222000000000001100000001 AUT: 8957952 $1z^{0}+16z^{9}+126z^{18}+794z^{27}+5012z^{36}+612z^{45} dd-2$\\ Start matrix 1 8 53 90 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 21021021210000000000000222222222000000000000000010000 00000000002221110000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888890_8 46 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 21021021210000000000000222222222000000000000000010000 00000000002221110000000222222222000000022000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000001112220222222222000000000001100000001 AUT: 5038848 $1z^{0}+10z^{9}+148z^{18}+710z^{27}+5138z^{36}+554z^{45} dd-2$\\ Start matrix 1 8 53 91 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 00000000222111000000000222222222000000022000000010000 21021021000000210000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888891_8 47 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 00000000222111000000000222222222000000022000000010000 21021021000000210000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000001112220000000000000000000001100000001 AUT: 26873856 $1z^{0}+18z^{9}+134z^{18}+704z^{27}+5160z^{36}+544z^{45} dd-2$\\ ?8 53 3 88888891_8 48 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 00000000222111000000000222222222000000022000000010000 21021021000000210000000000000000000000000000000001000 00000000000000000000000222111000000000000220000000100 00000000000000000000000210210210000000000210000000010 00000000000000001112220222222222000000000001100000001 AUT: 40310784 $1z^{0}+16z^{9}+124z^{18}+746z^{27}+5114z^{36}+560z^{45} dd-2$\\ Start matrix 1 8 53 92 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 21021021210000000000000000000000000000000000000010000 00000000000000000000000222111000000000022000000001000 00000000000000000000000210210210000000021000000000100 00000000002221110000000000000000000000000220000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888892_8 49 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 21021021210000000000000000000000000000000000000010000 00000000000000000000000222111000000000022000000001000 00000000000000000000000210210210000000021000000000100 00000000002221110000000000000000000000000220000000010 00000000000000001112220000000000000000000001100000001 AUT: 53747712 $1z^{0}+20z^{9}+150z^{18}+698z^{27}+5116z^{36}+576z^{45} dd-2$\\ Start matrix 1 8 53 93 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 21021021210000000000000000000000000000000000000010000 00000000000000000000000222111000000000022000000001000 00000000002221110000000000000000000000000220000000100 00000000002102102100000000000000000000000210000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888893_8 50 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 22211100222222222222222111111111111002200000000100000 21021021210000000000000000000000000000000000000010000 00000000000000000000000222111000000000022000000001000 00000000002221110000000000000000000000000220000000100 00000000002102102100000000000000000000000210000000010 00000000000000000000000000000111222000000001100000001 AUT: 107495424 $1z^{0}+20z^{9}+150z^{18}+770z^{27}+4972z^{36}+648z^{45} dd-2$\\ Start matrix 1 8 53 94 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222222210222210000211112111100000010000 22211100221100000000000222002211022110221120000001000 22211100201021000000000222001122011220112220000000100 21021021000000000000000210000000000000000000000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888894_8 51 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222222210222210000211112111100000010000 22211100221100000000000222002211022110221120000001000 22211100201021000000000222001122011220112220000000100 21021021000000000000000210000000000000000000000000010 00000000000000111222000000000000000000000001100000001 AUT: 2239488 $1z^{0}+10z^{9}+70z^{18}+728z^{27}+5336z^{36}+416z^{45} dd-2$\\ ?8 53 3 88888894_8 52 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222222210222210000211112111100000010000 22211100221100000000000222002211022110221120000001000 22211100201021000000000222001122011220112220000000100 21021021000000000000000210000000000000000000000000010 22211100000000111222000222000000000000000001100000001 AUT: 1119744 $1z^{0}+8z^{9}+76z^{18}+722z^{27}+5338z^{36}+416z^{45} dd-2$\\ Start matrix 1 8 53 95 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222222210222210000211112111100000010000 22211100221100000000000222002211022110221120000001000 22211100201021000000000222001122011220112220000000100 22211100000000210000000222002100000210210000000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 96 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222221100222221100221102211020000010000 11122200222222222102021211111020202112110210000001000 22211100222222210222120222201012210212102120000000100 21021021000000000000000021000000000000000000000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888896_8 53 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222221100222221100221102211020000010000 11122200222222222102021211111020202112110210000001000 22211100222222210222120222201012210212102120000000100 21021021000000000000000021000000000000000000000000010 00000000111222000000000000000000000000000001100000001 AUT: 13436928 $1z^{0}+10z^{9}+34z^{18}+728z^{27}+5444z^{36}+344z^{45} dd-2$\\ ?8 53 3 88888896_8 54 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222221100222221100221102211020000010000 11122200222222222102021211111020202112110210000001000 22211100222222210222120222201012210212102120000000100 21021021000000000000000021000000000000000000000000010 22211100111222000000000022200000000000000001100000001 AUT: 6718464 $1z^{0}+8z^{9}+36z^{18}+734z^{27}+5434z^{36}+348z^{45} dd-2$\\ Start matrix 1 8 53 97 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222221100222221100221102211020000010000 11122200222222222102021211111020202112110210000001000 22211100222222210222120222201012210212102120000000100 00000000210000000000201000020112012120121220000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 98 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222221100222221100221102211020000010000 11122200222222222102021211111020202112110210000001000 22211100210000000000201022220112012120121220000000100 21021021000000000000000021000000000000000000000000010 00000000000000000000000000000000000000000001100000001 ?8 53 3 88888898_8 55 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222221100222221100221102211020000010000 11122200222222222102021211111020202112110210000001000 22211100210000000000201022220112012120121220000000100 21021021000000000000000021000000000000000000000000010 00000000001112220000000000000000000000000001100000001 AUT: 40310784 $1z^{0}+10z^{9}+40z^{18}+728z^{27}+5426z^{36}+356z^{45} dd-2$\\ ?8 53 3 88888898_8 56 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222221100222221100221102211020000010000 11122200222222222102021211111020202112110210000001000 22211100210000000000201022220112012120121220000000100 21021021000000000000000021000000000000000000000000010 22211100001112220000000022200000000000000001100000001 AUT: 20155392 $1z^{0}+8z^{9}+42z^{18}+716z^{27}+5452z^{36}+342z^{45} dd-2$\\ Start matrix 1 8 53 99 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 11122200222222222222222111111111000002222200000100000 22211100222222222221100222221100221102211020000010000 11122200222222222102021211111020202112110210000001000 22211100210000000000201022220112012120121220000000100 00000000222222210222120200001012210212102120000000010 00000000000000000000000000000000000000000001100000001 Start matrix 1 8 53 100 11111111000000000000000000000000000000000000010000000 22211100222222222222222222222222222220000000001000000 21021021222222222222222211111110000002222220000100000 20101212222222222222221021000002111112111110000010000 02110221210000000000000000221000211000221000000001000 02110221002100000000000000001220200110001220000000100 00000000000021000000000000000210000210000210000000010 00000000000000000000000000000000000000000001100000001