Magma V2.19-8 Tue Aug 20 2013 23:39:04 on localhost [Seed = 1360475449] Type ? for help. Type -D to quit. Loading file "K12n830__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n830 geometric_solution 9.49607379 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -9 8 1 0 0 -9 9 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863362866373 1.006683223049 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 -8 8 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613571986955 0.379527392061 8 0 9 4 0132 0132 0132 1230 0 0 0 0 0 -1 0 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 9 0 -9 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459681655644 0.589667225024 6 7 9 0 0132 1023 0321 0132 0 0 0 0 0 -1 0 1 0 0 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 8 0 -8 0 0 -9 9 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613571986955 0.379527392061 2 10 0 7 3012 0132 0132 0132 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 0 -1 1 9 0 -9 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531756036991 1.101938838181 9 1 6 10 1023 0132 2031 1023 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 -1 1 0 0 0 0 0 -1 0 0 1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562230076592 0.890844763439 3 9 1 5 0132 1023 0132 1302 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 0 -8 8 0 1 0 -1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811847549387 0.521905520568 3 8 4 1 1023 0132 0132 0132 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 -8 0 0 8 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014960142392 0.553168609972 2 7 10 10 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 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.599628372992 0.345218070944 6 5 3 2 1023 1023 0321 0132 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 0 0 0 0 -1 1 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444325096709 0.904184286089 8 4 8 5 2031 0132 0132 1023 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 9 -8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221306371903 0.480099709676 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0110_10'], 'c_1010_10' : d['c_0110_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_7'], 'c_1100_10' : d['c_0101_10'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_1001_10'], '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'], '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_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_0110_10, c_0110_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 443677/55298*c_1001_10^5 - 304985/27649*c_1001_10^4 + 7314893/55298*c_1001_10^3 + 16907961/55298*c_1001_10^2 + 5935183/55298*c_1001_10 + 776699/55298, c_0011_0 - 1, c_0011_10 - 291/643*c_1001_10^5 - 160/643*c_1001_10^4 + 4829/643*c_1001_10^3 + 7432/643*c_1001_10^2 - 1047/643*c_1001_10 - 1044/643, c_0101_0 + 68/643*c_1001_10^5 + 86/643*c_1001_10^4 - 1398/643*c_1001_10^3 - 2130/643*c_1001_10^2 + 3400/643*c_1001_10 - 114/643, c_0101_1 - 234/643*c_1001_10^5 - 69/643*c_1001_10^4 + 3903/643*c_1001_10^3 + 4909/643*c_1001_10^2 - 2055/643*c_1001_10 + 241/643, c_0101_10 + 100/643*c_1001_10^5 + 13/643*c_1001_10^4 - 1602/643*c_1001_10^3 - 1922/643*c_1001_10^2 - 144/643*c_1001_10 - 92/643, c_0101_3 - 234/643*c_1001_10^5 - 69/643*c_1001_10^4 + 3903/643*c_1001_10^3 + 4909/643*c_1001_10^2 - 2055/643*c_1001_10 - 1045/643, c_0101_5 - 234/643*c_1001_10^5 - 69/643*c_1001_10^4 + 3903/643*c_1001_10^3 + 4909/643*c_1001_10^2 - 2055/643*c_1001_10 - 402/643, c_0101_7 + 126/643*c_1001_10^5 + 235/643*c_1001_10^4 - 2250/643*c_1001_10^3 - 5611/643*c_1001_10^2 - 130/643*c_1001_10 + 810/643, c_0110_10 - 260/643*c_1001_10^5 - 291/643*c_1001_10^4 + 4551/643*c_1001_10^3 + 8598/643*c_1001_10^2 - 1426/643*c_1001_10 - 661/643, c_0110_5 + 34/643*c_1001_10^5 + 43/643*c_1001_10^4 - 699/643*c_1001_10^3 - 1065/643*c_1001_10^2 + 1700/643*c_1001_10 - 57/643, c_1001_10^6 + c_1001_10^5 - 17*c_1001_10^4 - 32*c_1001_10^3 + c_1001_10^2 + 4*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB