Magma V2.19-8 Wed Aug 21 2013 01:04:25 on localhost [Seed = 2160498883] Type ? for help. Type -D to quit. Loading file "L14n24167__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24167 geometric_solution 12.43578658 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 -1 0 0 1 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515640407474 0.752608331560 0 4 6 5 0132 2103 0132 0132 0 1 0 1 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842643631008 0.492089083177 7 0 7 8 0132 0132 3012 0132 0 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357647953401 0.706224563869 6 9 10 0 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371941646268 0.557733810320 10 1 0 9 0132 2103 0132 1230 0 1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -2 -1 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486679070825 1.498727371550 6 11 1 7 2103 0132 0132 0213 0 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708734781939 0.960546856512 3 8 5 1 0132 0321 2103 0132 0 1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748552664808 0.694309324297 2 2 11 5 0132 1230 2103 0213 0 0 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704820818737 0.774904941852 12 10 2 6 0132 3120 0132 0321 0 0 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526708578468 1.575500773769 4 3 11 12 3012 0132 1230 2031 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908524549153 1.354202418857 4 8 12 3 0132 3120 0321 0132 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564949199369 1.342003505050 7 5 12 9 2103 0132 0132 3012 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832477505648 0.738153971521 8 9 10 11 0132 1302 0321 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612950134654 0.686003440018 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0110_11']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0110_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : negation(d['c_0110_11']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_0']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0011_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_9, c_0110_11, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 204086145/50574368*c_1001_0^10 - 710202499/50574368*c_1001_0^9 - 414334027/25287184*c_1001_0^8 + 782820885/50574368*c_1001_0^7 + 3245364179/50574368*c_1001_0^6 + 3464363195/50574368*c_1001_0^5 + 551879961/25287184*c_1001_0^4 - 430741999/50574368*c_1001_0^3 + 74469945/25287184*c_1001_0^2 - 854481779/50574368*c_1001_0 - 936426481/50574368, c_0011_0 - 1, c_0011_10 + 370/1993*c_1001_0^10 + 1004/1993*c_1001_0^9 + 756/1993*c_1001_0^8 - 1655/1993*c_1001_0^7 - 3737/1993*c_1001_0^6 - 2108/1993*c_1001_0^5 - 1039/1993*c_1001_0^4 - 2636/1993*c_1001_0^3 - 4884/1993*c_1001_0^2 + 903/1993*c_1001_0 + 257/1993, c_0011_11 - c_1001_0^10 - 3*c_1001_0^9 - 3*c_1001_0^8 + 4*c_1001_0^7 + 12*c_1001_0^6 + 11*c_1001_0^5 + 4*c_1001_0^4 + 4*c_1001_0^3 + 7*c_1001_0^2 - c_1001_0 - 2, c_0011_12 + 797/1993*c_1001_0^10 + 2669/1993*c_1001_0^9 + 3169/1993*c_1001_0^8 - 2353/1993*c_1001_0^7 - 10242/1993*c_1001_0^6 - 11694/1993*c_1001_0^5 - 6488/1993*c_1001_0^4 - 5872/1993*c_1001_0^3 - 6933/1993*c_1001_0^2 - 1917/1993*c_1001_0 + 1507/1993, c_0011_3 - 797/1993*c_1001_0^10 - 2669/1993*c_1001_0^9 - 3169/1993*c_1001_0^8 + 2353/1993*c_1001_0^7 + 10242/1993*c_1001_0^6 + 11694/1993*c_1001_0^5 + 6488/1993*c_1001_0^4 + 5872/1993*c_1001_0^3 + 8926/1993*c_1001_0^2 + 1917/1993*c_1001_0 - 1507/1993, c_0101_0 + 243/1993*c_1001_0^10 + 1769/1993*c_1001_0^9 + 4127/1993*c_1001_0^8 + 2926/1993*c_1001_0^7 - 6241/1993*c_1001_0^6 - 15831/1993*c_1001_0^5 - 15339/1993*c_1001_0^4 - 8432/1993*c_1001_0^3 - 8788/1993*c_1001_0^2 - 10627/1993*c_1001_0 - 1431/1993, c_0101_1 - 1, c_0101_11 - 1034/1993*c_1001_0^10 - 2795/1993*c_1001_0^9 - 2716/1993*c_1001_0^8 + 4248/1993*c_1001_0^7 + 10842/1993*c_1001_0^6 + 9640/1993*c_1001_0^5 + 3216/1993*c_1001_0^4 + 5115/1993*c_1001_0^3 + 6474/1993*c_1001_0^2 - 1694/1993*c_1001_0 - 1440/1993, c_0101_2 - 1273/1993*c_1001_0^10 - 4133/1993*c_1001_0^9 - 4454/1993*c_1001_0^8 + 4536/1993*c_1001_0^7 + 16644/1993*c_1001_0^6 + 16205/1993*c_1001_0^5 + 6812/1993*c_1001_0^4 + 5428/1993*c_1001_0^3 + 12419/1993*c_1001_0^2 + 1434/1993*c_1001_0 - 2247/1993, c_0101_9 + 77/1993*c_1001_0^10 + 823/1993*c_1001_0^9 + 1644/1993*c_1001_0^8 + 1083/1993*c_1001_0^7 - 2970/1993*c_1001_0^6 - 5976/1993*c_1001_0^5 - 5328/1993*c_1001_0^4 - 3328/1993*c_1001_0^3 - 5401/1993*c_1001_0^2 - 5344/1993*c_1001_0 - 232/1993, c_0110_11 - 219/1993*c_1001_0^10 - 1176/1993*c_1001_0^9 - 1751/1993*c_1001_0^8 + 414/1993*c_1001_0^7 + 5600/1993*c_1001_0^6 + 6074/1993*c_1001_0^5 + 2678/1993*c_1001_0^4 - 422/1993*c_1001_0^3 + 3688/1993*c_1001_0^2 + 1507/1993*c_1001_0 - 2032/1993, c_0110_9 + 243/1993*c_1001_0^10 + 1769/1993*c_1001_0^9 + 4127/1993*c_1001_0^8 + 2926/1993*c_1001_0^7 - 6241/1993*c_1001_0^6 - 15831/1993*c_1001_0^5 - 15339/1993*c_1001_0^4 - 8432/1993*c_1001_0^3 - 8788/1993*c_1001_0^2 - 8634/1993*c_1001_0 - 1431/1993, c_1001_0^11 + 4*c_1001_0^10 + 6*c_1001_0^9 - c_1001_0^8 - 16*c_1001_0^7 - 23*c_1001_0^6 - 15*c_1001_0^5 - 8*c_1001_0^4 - 12*c_1001_0^3 - 7*c_1001_0^2 + 2*c_1001_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.340 seconds, Total memory usage: 32.09MB