Magma V2.19-8 Mon Sep 9 2013 19:31:55 on localhost [Seed = 3668366036] Type ? for help. Type -D to quit. Loading file "10^4_6__sl2_c10.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^4_6 geometric_solution 14.60306075 oriented_manifold CS_known 0.0000000000000002 4 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 2 3 0132 0132 1302 0132 3 0 0 2 0 0 -1 1 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 -1 2 -1 -1 0 1 0 0 -2 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654508497187 0.938421878200 0 4 5 4 0132 0132 0132 1230 3 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 0 0 0 0 0 0 -1 1 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 0.345491502813 0.938421878200 0 0 5 6 2031 0132 3012 0132 3 3 2 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 1 -1 0 -2 0 2 0 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.716890523372 7 8 0 9 0132 0132 0132 0132 3 0 1 0 0 0 -1 1 0 0 0 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 1 -1 0 0 0 0 -1 2 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670820393250 0.320603188537 1 1 10 9 3012 0132 0132 0213 3 3 0 2 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 -1 1 -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 0.500000000000 0.716890523372 8 2 10 1 3120 1230 0321 0132 3 0 0 3 0 1 -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 0 0 0 0 -2 1 1 -1 0 0 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 0.547745751406 1.228410186457 11 11 2 9 0132 1302 0132 2031 3 3 1 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.716890523372 3 12 13 8 0132 0132 0132 3120 1 0 0 1 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 -2 1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827254248594 0.469210939100 7 3 12 5 3120 0132 1302 3120 3 0 0 1 0 0 0 0 0 0 0 0 -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 0 0 1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404508497187 0.579976616514 14 6 3 4 0132 1302 0132 0213 3 0 3 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 0 0 0 0 0 1 -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 0.736067977500 0.716890523372 15 14 5 4 0132 3201 0321 0132 3 3 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 0 0 0 0 0 -1 1 0 0 1 -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 0.190983005625 1.159953233028 6 13 12 6 0132 0132 0132 2031 1 3 2 1 0 0 0 0 0 0 0 0 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 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 0.654508497187 0.938421878200 8 7 15 11 2031 0132 0132 0132 1 3 1 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 -1 1 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 1.500000000000 0.716890523372 14 11 15 7 3120 0132 0213 0132 1 0 1 2 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085410196625 0.518746855954 9 15 10 13 0132 3201 2310 3120 2 0 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 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 0.138196601125 0.839350044491 10 13 14 12 0132 0213 2310 0132 1 3 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 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 -0.085410196625 0.518746855954 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0011_11']), 'c_1001_14' : negation(d['c_0101_15']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_14']), 'c_1001_13' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_15'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_13' : d['c_1001_11'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0101_15'], 'c_1010_15' : d['c_0011_12'], 'c_1010_14' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : 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_15' : d['c_0101_15'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_2_14' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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_10']), 'c_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_14']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : negation(d['c_0101_14']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_5']), 'c_1100_14' : d['c_0011_10'], 'c_1100_15' : d['c_0011_14'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_14'], 'c_1100_10' : d['c_1001_5'], 'c_1100_13' : d['c_0011_12'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0011_14']), 'c_1010_5' : d['c_0101_2'], 's_3_12' : negation(d['1']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_15'], 'c_1010_0' : negation(d['c_0011_5']), 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_5'], 's_3_14' : d['1'], 'c_1100_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : 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' : d['c_0011_14'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_14']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_15'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0101_11'], 'c_0110_15' : d['c_0101_10'], 'c_0110_14' : d['c_0101_7'], 'c_1010_4' : d['c_0101_2'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : negation(d['1']), 's_2_15' : d['1'], 'c_1010_8' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_15'], '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_0011_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : negation(d['c_0011_12']), '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_14'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_14']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11'], 'c_0101_13' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0011_5, c_0101_1, c_0101_10, c_0101_11, c_0101_14, c_0101_15, c_0101_2, c_0101_6, c_0101_7, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 9/10*c_1001_11^3 - 61/20*c_1001_11^2 + 61/10*c_1001_11 - 36/5, c_0011_0 - 1, c_0011_10 - 1/4*c_1001_11^3 + 5/4*c_1001_11^2 - 9/4*c_1001_11 + 2, c_0011_11 + 1/2*c_1001_11^3 - 3/2*c_1001_11^2 + 5/2*c_1001_11 - 2, c_0011_12 - 1, c_0011_14 + 1/4*c_1001_11^3 - 1/4*c_1001_11^2 + 1/4*c_1001_11, c_0011_5 - 1/8*c_1001_11^3 + 5/8*c_1001_11^2 - 13/8*c_1001_11 + 3/2, c_0101_1 - 1, c_0101_10 + 1/8*c_1001_11^3 - 5/8*c_1001_11^2 + 5/8*c_1001_11 - 1/2, c_0101_11 - 1/4*c_1001_11^3 + 5/4*c_1001_11^2 - 9/4*c_1001_11 + 2, c_0101_14 + 1/8*c_1001_11^3 - 5/8*c_1001_11^2 + 13/8*c_1001_11 - 3/2, c_0101_15 + 1, c_0101_2 - 1/8*c_1001_11^3 + 5/8*c_1001_11^2 - 13/8*c_1001_11 + 5/2, c_0101_6 - 1, c_0101_7 + c_1001_11 - 1, c_1001_11^4 - 5*c_1001_11^3 + 13*c_1001_11^2 - 20*c_1001_11 + 16, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB