Magma V2.19-8 Tue Aug 20 2013 23:41:07 on localhost [Seed = 1916016369] Type ? for help. Type -D to quit. Loading file "L12a1628__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1628 geometric_solution 9.84554914 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 1023 1 1 1 1 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 1 -3 2 -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 0.290223266781 1.029350272271 0 1 1 0 0132 1230 3012 1023 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.978613388311 0.459806556597 3 0 5 4 2310 0132 0132 0132 1 2 1 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 1 0 -1 0 -2 0 0 2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037186548230 0.629819815749 5 6 2 0 1023 0132 3201 0132 1 1 1 2 0 0 1 -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 -3 3 0 0 2 -2 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037186548230 0.629819815749 5 7 2 8 0132 0132 0132 0132 1 2 2 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 0 -1 1 0 0 0 0 2 0 0 -2 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464367422388 0.830075308798 4 3 6 2 0132 1023 0132 0132 1 2 1 2 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 0 0 0 0 0 -1 1 -3 0 0 3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.508982549955 1.011362265073 9 3 10 5 0132 0132 0132 0132 1 2 2 1 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 -1 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 0.464367422388 0.830075308798 9 4 9 10 1023 0132 2031 0321 1 0 1 2 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 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 0.505839762769 0.841786361647 9 10 4 10 2103 2031 0132 0132 1 2 0 2 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 1 -1 0 0 0 0 0 1 -1 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505839762769 0.841786361647 6 7 8 7 0132 1023 2103 1302 0 2 1 2 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 -1 -1 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505839762769 0.841786361647 8 7 8 6 1302 0321 0132 0132 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 -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 0.505839762769 0.841786361647 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1100_10'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_1100_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : negation(d['1']), 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_3'], '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_10' : d['c_0101_6'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0101_2']), '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_5'], 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_8']), '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_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_1001_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 4263225/208054*c_1100_10^5 - 12894671/104027*c_1100_10^4 - 4061991/14861*c_1100_10^3 - 23326284/104027*c_1100_10^2 - 5793253/208054*c_1100_10 + 14216717/104027, c_0011_0 - 1, c_0011_10 + 12/193*c_1100_10^5 + 74/193*c_1100_10^4 + 106/193*c_1100_10^3 - 41/193*c_1100_10^2 - 200/193*c_1100_10 - 72/193, c_0011_3 + c_1100_10, c_0011_8 - 1, c_0101_0 + 26/193*c_1100_10^5 + 96/193*c_1100_10^4 + 101/193*c_1100_10^3 + 72/193*c_1100_10^2 + 17/193*c_1100_10 - 156/193, c_0101_1 + 5/193*c_1100_10^5 + 63/193*c_1100_10^4 + 205/193*c_1100_10^3 + 192/193*c_1100_10^2 - 19/193*c_1100_10 - 223/193, c_0101_2 - 1, c_0101_5 + 7/193*c_1100_10^5 + 11/193*c_1100_10^4 - 99/193*c_1100_10^3 - 233/193*c_1100_10^2 + 12/193*c_1100_10 + 344/193, c_0101_6 + 24/193*c_1100_10^5 + 148/193*c_1100_10^4 + 212/193*c_1100_10^3 - 82/193*c_1100_10^2 - 400/193*c_1100_10 - 144/193, c_1001_0 + 26/193*c_1100_10^5 + 96/193*c_1100_10^4 + 101/193*c_1100_10^3 + 72/193*c_1100_10^2 - 176/193*c_1100_10 - 156/193, c_1100_10^6 + 5*c_1100_10^5 + 7*c_1100_10^4 - 3*c_1100_10^3 - 10*c_1100_10^2 - 8*c_1100_10 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB