Magma V2.19-8 Thu Sep 12 2013 15:25:02 on localhost [Seed = 1092683279] Type ? for help. Type -D to quit. Loading file "10^3_74__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_74 geometric_solution 15.55091438 oriented_manifold CS_known 0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 0132 0132 0 2 1 1 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 1 -1 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.473033393844 0.976341761571 0 5 7 6 0132 0132 0132 0132 1 2 1 1 0 0 0 0 0 0 -1 1 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 -2 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.258493066939 0.886274709738 8 0 4 3 0132 0132 0132 0132 0 2 1 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 1 0 0 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292017834729 0.997098136151 9 10 2 0 0132 0132 0132 0132 0 2 1 1 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 1 0 -1 0 0 1 -1 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110609429060 1.327438767577 9 6 0 2 2103 2103 0132 0132 0 2 1 1 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 -1 1 0 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 0.055304714530 0.663719383788 8 1 9 11 1023 0132 0213 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533631154689 0.749783003046 7 4 1 12 0132 2103 0132 0132 1 2 0 1 0 0 0 0 0 0 -1 1 -1 0 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 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348355858333 0.519930260532 6 12 13 1 0132 2103 0132 0132 1 2 1 0 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 0 0 0 0 0 -2 2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.110609429060 1.327438767577 2 5 10 14 0132 1023 2103 0132 1 2 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 1 -1 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773868022442 0.701051012713 3 5 4 15 0132 0213 2103 0132 1 2 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290253485957 0.642963009208 8 3 15 16 2103 0132 2103 0132 0 2 1 1 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -1 -1 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110609429060 1.327438767577 13 12 5 16 2310 2310 0132 2310 1 1 2 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.258493066939 0.886274709738 13 7 6 11 0132 2103 0132 3201 1 2 1 0 0 0 0 0 1 0 -1 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 2 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 1.110609429060 1.327438767577 12 14 11 7 0132 3120 3201 0132 1 2 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 0 0 0 0 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348355858333 0.519930260532 15 13 8 16 3120 3120 0132 2103 1 2 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 0 1 -1 0 0 -1 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708713204969 0.497924250199 10 16 9 14 2103 2103 0132 3120 1 2 0 1 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 1 0 -1 0 0 0 0 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473426240398 0.666757504726 11 15 10 14 3201 2103 0132 2103 0 2 1 1 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 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.473033393844 0.976341761571 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0011_16'], 'c_1001_14' : d['c_0101_11'], 'c_1001_16' : d['c_0011_15'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_15'], 'c_1001_13' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_15'], 'c_1001_3' : d['c_0011_15'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_0011_10'], 'c_1010_13' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : negation(d['c_0101_13']), 'c_1010_10' : d['c_0011_15'], 'c_1010_16' : negation(d['c_0011_12']), 'c_1010_15' : d['c_0011_12'], 'c_1010_14' : d['c_0011_12'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0101_13'], 'c_0101_15' : d['c_0101_10'], 'c_0101_14' : d['c_0101_14'], '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' : negation(d['1']), 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_0_8' : d['1'], 's_2_15' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : d['c_0011_15'], 'c_0011_14' : negation(d['c_0011_12']), 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : negation(d['c_0101_14']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_16'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_14' : negation(d['c_0101_13']), 's_0_15' : d['1'], 'c_1100_15' : negation(d['c_0101_14']), 's_0_10' : d['1'], 'c_1100_16' : negation(d['c_0110_14']), 'c_1100_11' : d['c_0011_16'], 'c_1100_10' : negation(d['c_0110_14']), 'c_1100_13' : negation(d['c_0011_11']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_1001_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0011_15'], 'c_1010_2' : d['c_0011_15'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_6'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0011_16'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0101_13']), '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' : negation(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' : 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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_13']), 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0101_12'], 'c_0110_12' : d['c_0101_13'], 'c_0110_15' : d['c_0110_14'], 'c_0110_14' : d['c_0110_14'], 'c_0110_16' : d['c_0101_13'], 'c_1010_4' : d['c_0011_6'], 'c_0110_0' : d['c_0101_0'], 's_2_14' : d['1'], 's_0_9' : d['1'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_14'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_14'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_14'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1'], 'c_0101_13' : d['c_0101_13']})} 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_15, c_0011_16, c_0011_4, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_13, c_0101_14, c_0110_14, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 11/10*c_1100_0^4 - 29/4*c_1100_0^3 - 333/20*c_1100_0^2 - 83/5*c_1100_0 - 43/10, c_0011_0 - 1, c_0011_10 + 7*c_1100_0^4 + 59/2*c_1100_0^3 + 54*c_1100_0^2 + 45*c_1100_0 + 19, c_0011_11 + 2*c_1100_0^4 + 9*c_1100_0^3 + 18*c_1100_0^2 + 16*c_1100_0 + 6, c_0011_12 + c_1100_0 + 1, c_0011_15 - 1, c_0011_16 + 1, c_0011_4 + 3*c_1100_0^4 + 23/2*c_1100_0^3 + 20*c_1100_0^2 + 16*c_1100_0 + 7, c_0011_6 - c_1100_0 - 1, c_0101_0 - 1, c_0101_10 + 2*c_1100_0^4 + 9*c_1100_0^3 + 18*c_1100_0^2 + 16*c_1100_0 + 6, c_0101_11 + 3*c_1100_0^4 + 23/2*c_1100_0^3 + 20*c_1100_0^2 + 16*c_1100_0 + 7, c_0101_12 + 2*c_1100_0^4 + 7*c_1100_0^3 + 11*c_1100_0^2 + 7*c_1100_0 + 2, c_0101_13 - 1, c_0101_14 + 2*c_1100_0^4 + 9*c_1100_0^3 + 16*c_1100_0^2 + 13*c_1100_0 + 4, c_0110_14 - c_1100_0, c_1001_1 + c_1100_0^4 + 5/2*c_1100_0^3 + 2*c_1100_0^2 + 1, c_1100_0^5 + 9/2*c_1100_0^4 + 9*c_1100_0^3 + 9*c_1100_0^2 + 5*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.500 Total time: 1.700 seconds, Total memory usage: 97.56MB