Magma V2.19-8 Wed Aug 21 2013 00:59:43 on localhost [Seed = 475662175] Type ? for help. Type -D to quit. Loading file "L13n7539__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7539 geometric_solution 11.72825102 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2310 0132 0132 2 1 1 2 0 0 0 0 1 0 -2 1 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 -1 1 4 0 -7 3 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.069910359466 1.790297401299 0 4 4 0 0132 0132 3201 3201 2 1 2 1 0 0 0 0 -1 0 0 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 0 0 0 -4 0 0 4 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.323637487814 0.668190030858 3 5 6 0 1302 0132 0132 0132 2 1 2 1 0 0 0 0 -1 0 -1 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 -1 0 1 -3 0 -4 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140368938063 0.661270788892 7 2 0 8 0132 2031 0132 0132 2 1 1 1 0 0 0 0 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 1 -1 0 0 0 -3 3 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498700754976 0.666651927855 1 1 8 5 2310 0132 2310 3120 2 1 1 2 0 0 -1 1 -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 -4 0 4 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 0.309213956425 0.813020020896 4 2 6 7 3120 0132 0213 0213 2 1 1 2 0 0 0 0 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 1 0 -1 0 0 -3 3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414535765572 0.391110828385 9 5 8 2 0132 0213 0132 0132 2 1 1 2 0 0 0 0 -1 0 0 1 -1 1 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 -4 0 0 4 -3 3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.016236715946 0.808525811677 3 10 11 5 0132 0132 0132 0213 2 1 1 1 0 1 -1 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 0 -1 1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526753681678 0.522209341394 12 4 3 6 0132 3201 0132 0132 2 1 2 1 0 0 0 0 1 0 -1 0 -1 1 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 3 0 -3 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210099130171 1.032311370529 6 12 10 11 0132 0132 1302 3201 0 1 2 1 0 1 0 -1 1 0 0 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 4 0 0 -4 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.951075556710 0.954963941639 9 7 11 12 2031 0132 0321 3012 2 0 1 1 0 -1 0 1 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 0 0 0 1 0 0 -1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053507363356 1.044418682787 12 9 10 7 3120 2310 0321 0132 2 1 1 0 0 -1 0 1 0 0 0 0 -1 1 0 0 -1 1 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 -4 4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521282757147 0.474587316234 8 9 10 11 0132 0132 1230 3120 0 1 1 2 0 -1 0 1 -1 0 1 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 1 1 -3 0 3 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521282757147 0.474587316234 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_2'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_1001_0'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_12'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_2, c_0101_0, c_0101_1, c_0101_12, c_0101_7, c_1001_0, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 106401811393933/12575483943854620*c_1100_0^6 + 7612162695389/306719120581820*c_1100_0^5 - 1444400684918211/12575483943854620*c_1100_0^4 - 1111481616695677/2515096788770924*c_1100_0^3 - 119272317451517/6287741971927310*c_1100_0^2 + 4143784404490007/12575483943854620*c_1100_0 + 1629650610281409/12575483943854620, c_0011_0 - 1, c_0011_10 - 455329/15593197*c_1100_0^6 - 704808/15593197*c_1100_0^5 + 6800590/15593197*c_1100_0^4 + 11118463/15593197*c_1100_0^3 - 17509551/15593197*c_1100_0^2 + 44035592/15593197*c_1100_0 + 49280423/15593197, c_0011_11 + 1, c_0011_12 - 128552/15593197*c_1100_0^6 - 169775/15593197*c_1100_0^5 + 2166943/15593197*c_1100_0^4 + 3782019/15593197*c_1100_0^3 - 10893229/15593197*c_1100_0^2 - 1513085/15593197*c_1100_0 + 25905220/15593197, c_0011_2 + 629298/15593197*c_1100_0^6 + 162740/15593197*c_1100_0^5 - 11651204/15593197*c_1100_0^4 - 4469829/15593197*c_1100_0^3 + 61455088/15593197*c_1100_0^2 - 71342358/15593197*c_1100_0 - 51060773/15593197, c_0101_0 + 589409/15593197*c_1100_0^6 + 248219/15593197*c_1100_0^5 - 10944243/15593197*c_1100_0^4 - 5721172/15593197*c_1100_0^3 + 56971765/15593197*c_1100_0^2 - 53257882/15593197*c_1100_0 - 38167175/15593197, c_0101_1 - 1, c_0101_12 - 920800/15593197*c_1100_0^6 - 418414/15593197*c_1100_0^5 + 16268710/15593197*c_1100_0^4 + 9694862/15593197*c_1100_0^3 - 78344964/15593197*c_1100_0^2 + 81607158/15593197*c_1100_0 + 71647208/15593197, c_0101_7 - 37755/15593197*c_1100_0^6 - 968700/15593197*c_1100_0^5 - 1647030/15593197*c_1100_0^4 + 14376353/15593197*c_1100_0^3 + 36022307/15593197*c_1100_0^2 - 22024524/15593197*c_1100_0 - 6981111/15593197, c_1001_0 + 1138929/15593197*c_1100_0^6 + 581917/15593197*c_1100_0^5 - 21181525/15593197*c_1100_0^4 - 12693687/15593197*c_1100_0^3 + 109460207/15593197*c_1100_0^2 - 104024485/15593197*c_1100_0 - 110220343/15593197, c_1001_10 - 128552/15593197*c_1100_0^6 - 169775/15593197*c_1100_0^5 + 2166943/15593197*c_1100_0^4 + 3782019/15593197*c_1100_0^3 - 10893229/15593197*c_1100_0^2 - 1513085/15593197*c_1100_0 + 25905220/15593197, c_1001_11 + 880701/15593197*c_1100_0^6 + 256894/15593197*c_1100_0^5 - 16016961/15593197*c_1100_0^4 - 7266858/15593197*c_1100_0^3 + 80003154/15593197*c_1100_0^2 - 82899718/15593197*c_1100_0 - 76745990/15593197, c_1100_0^7 + c_1100_0^6 - 18*c_1100_0^5 - 21*c_1100_0^4 + 87*c_1100_0^3 - 35*c_1100_0^2 - 145*c_1100_0 - 61 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB