Magma V2.19-8 Fri Sep 13 2013 08:33:15 on localhost [Seed = 709590594] Type ? for help. Type -D to quit. Loading file "11_100__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_100 geometric_solution 15.71814601 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 2 0132 0132 0132 1230 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 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 0.238099641321 0.656477213215 0 4 4 5 0132 0132 1302 0132 0 0 0 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 0 0 0 0 0 0 0 0 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204935307013 1.172233572391 0 0 7 6 3012 0132 0132 0132 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 -1 0 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753272013421 0.649042760685 8 8 9 0 0132 0213 0132 0132 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 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452979645528 0.702309702813 1 1 10 11 2031 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 7 -8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855284964716 0.827772555461 8 12 1 10 1302 0132 0132 1230 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 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 -0.317786156997 0.468058683047 9 13 2 14 2031 0132 0132 0132 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 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 1.107237099585 0.628817533605 14 15 12 2 1023 0132 0321 0132 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 1 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228217111634 1.317789749840 3 5 3 13 0132 2031 0213 0213 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 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 0.834802292555 0.922839249149 14 16 6 3 0213 0132 1302 0132 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 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710253252575 1.394801833285 5 16 15 4 3012 1230 2031 0132 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 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 0.356169710184 0.623467891794 16 16 4 12 0132 1302 0132 1023 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 -1 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466704534782 0.884603578440 13 5 7 11 2310 0132 0321 1023 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 -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 0 0 0.060336593804 1.125566193131 15 6 12 8 0132 0132 3201 0213 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 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 0.525820486419 1.372896519904 9 7 6 15 0213 1023 0132 0132 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 -1 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 0.367177836213 0.329926029747 13 7 14 10 0132 0132 0132 1302 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 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 0.559136418138 1.008014741311 11 9 10 11 0132 0132 3012 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499842250874 0.829113076366 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_2'], 'c_1001_14' : negation(d['c_0101_12']), 'c_1001_16' : negation(d['c_0011_10']), 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0101_13']), 'c_1001_13' : negation(d['c_0101_12']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_16'], 'c_1001_4' : d['c_0101_16'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_13' : d['c_1001_0'], 'c_1010_12' : d['c_0101_16'], 'c_1010_11' : negation(d['c_0101_13']), 'c_1010_10' : d['c_0101_16'], 'c_1010_16' : d['c_0011_11'], 'c_1010_15' : d['c_1001_7'], 'c_1010_14' : d['c_0101_2'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : negation(d['c_0011_13']), 'c_0011_14' : d['c_0011_13'], 'c_0011_16' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_10'], 'c_1100_14' : d['c_0101_10'], 'c_1100_15' : d['c_0101_10'], 's_0_10' : d['1'], 'c_1100_16' : d['c_0101_13'], 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : negation(d['c_1001_7']), 'c_1100_13' : negation(d['c_0011_12']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_12']), 'c_1010_5' : d['c_0101_10'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_16'], 'c_1010_0' : d['c_0101_2'], 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0011_10']), 's_0_15' : d['1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['c_1001_7'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : 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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_13'], 'c_0110_6' : d['c_0011_11'], '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_0101_16'], 'c_0110_10' : d['c_0101_4'], 'c_0110_13' : d['c_0101_15'], 'c_0110_12' : negation(d['c_0101_13']), 'c_0110_15' : d['c_0101_13'], 'c_0110_14' : d['c_0101_15'], 'c_0110_16' : d['c_0101_11'], 'c_1010_4' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_13'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_13']), 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : negation(d['c_0011_12']), 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_15']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0011_13'], 'c_0101_8' : d['c_0011_3'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_15']), 'c_0110_8' : negation(d['c_0101_15']), 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : d['c_0101_6'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1001_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0101_10, c_0101_11, c_0101_12, c_0101_13, c_0101_15, c_0101_16, c_0101_2, c_0101_4, c_0101_6, c_1001_0, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 38637/5624*c_1001_7 - 18225/5624, c_0011_0 - 1, c_0011_10 + 1/3*c_1001_7 + 1/3, c_0011_11 - 1/3*c_1001_7 + 1/3, c_0011_12 - c_1001_7 + 2/3, c_0011_13 + 1/3*c_1001_7 + 2/3, c_0011_3 + c_1001_7, c_0101_10 + 1, c_0101_11 + 1, c_0101_12 + 1/3*c_1001_7 - 1/3, c_0101_13 - 4/3*c_1001_7 - 2/3, c_0101_15 - 2*c_1001_7 - 1, c_0101_16 + 2/3*c_1001_7 + 1/3, c_0101_2 - c_1001_7, c_0101_4 - 1/3*c_1001_7 + 1/3, c_0101_6 - 7/3*c_1001_7 - 1, c_1001_0 - 4/3*c_1001_7, c_1001_7^2 + c_1001_7 + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0101_10, c_0101_11, c_0101_12, c_0101_13, c_0101_15, c_0101_16, c_0101_2, c_0101_4, c_0101_6, c_1001_0, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 28431/3724*c_1001_0 + 43011/3724, c_0011_0 - 1, c_0011_10 - 1/3, c_0011_11 - 1/2*c_1001_0 - 5/6, c_0011_12 - 1/2*c_1001_0 - 1/6, c_0011_13 - c_1001_0 - 2/3, c_0011_3 + 3/2*c_1001_0 + 1/2, c_0101_10 + 1, c_0101_11 + 3/2*c_1001_0 + 1/2, c_0101_12 + 1/2*c_1001_0 + 5/6, c_0101_13 + c_1001_0 - 1/3, c_0101_15 - 3*c_1001_0 - 2, c_0101_16 - 2*c_1001_0 - 1/3, c_0101_2 - 3/2*c_1001_0 - 1/2, c_0101_4 - 1/2*c_1001_0 + 7/6, c_0101_6 - 5/2*c_1001_0 - 3/2, c_1001_0^2 + 4/3*c_1001_0 + 7/9, c_1001_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2428.640 Total time: 2428.889 seconds, Total memory usage: 3385.12MB