Magma V2.19-8 Mon Sep 9 2013 19:20:06 on localhost [Seed = 910832630] Type ? for help. Type -D to quit. Loading file "10^2_140__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_140 geometric_solution 15.13960835 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 1 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 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 0.444524314008 0.920561583460 0 5 6 2 0132 0132 0132 1023 1 1 0 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 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 1.028288418597 2.254835163239 7 0 8 1 0132 0132 0132 1023 1 1 0 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 -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 0.322442855541 0.577235603480 9 9 8 0 0132 1230 3012 0132 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 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 0.444524314008 0.920561583460 7 9 0 10 3012 1302 0132 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 1 -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 0.366391080547 0.812604454507 6 1 11 12 1023 0132 0132 0132 1 1 1 0 0 0 -1 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 0 0 0 -1 0 0 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 0.544608981435 0.759418889259 7 5 13 1 1023 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 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 0.161543654735 0.495037317552 2 6 11 4 0132 1023 3012 1230 1 1 1 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894344993443 0.839734010721 14 3 13 2 0132 1230 1023 0132 1 1 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 0 0 0 0 0 0 0 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 0.074620739643 0.843460864880 3 14 3 4 0132 1230 3012 2031 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 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 0.574632329458 0.880890255059 15 14 4 13 0132 2103 0132 3120 1 1 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 0 0 0 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 0.704740344909 0.841218926658 12 7 15 5 1023 1230 2031 0132 1 1 0 1 0 0 -1 1 -1 0 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 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 0.496334273852 0.439354037772 15 11 5 13 2031 1023 0132 0321 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 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 0.360111251368 1.254807467115 10 12 8 6 3120 0321 1023 0132 1 1 0 1 0 0 1 -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 -1 1 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 0.315326783229 1.347686034704 8 10 9 15 0132 2103 3012 3201 0 1 1 1 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 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 0.871524457034 1.036438307035 10 14 12 11 0132 2310 1302 1302 1 1 1 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 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 0.732680422218 0.473787181765 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0011_13']), 'c_1001_14' : d['c_0011_10'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0011_14'], 'c_1001_13' : d['c_0101_8'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0011_14'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_13'], 'c_1010_13' : d['c_0101_5'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_13']), 'c_1010_15' : negation(d['c_0101_8']), 'c_1010_14' : d['c_0011_13'], 's_0_10' : 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_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' : negation(d['c_0011_11']), 'c_0101_14' : d['c_0011_4'], 's_2_0' : d['1'], 's_2_1' : negation(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_14' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : negation(d['c_0011_10']), 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : negation(d['c_0011_14']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0101_13']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_13']), 'c_1100_3' : negation(d['c_0101_13']), 'c_1100_2' : negation(d['c_1100_1']), 'c_1100_15' : d['c_0101_11'], 'c_1100_14' : d['c_0011_10'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_0101_13']), 'c_1100_13' : d['c_1100_1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_11'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_3'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0011_4'], 's_0_15' : d['1'], 'c_1100_8' : negation(d['c_1100_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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_8'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_3_11' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0101_13' : d['c_0101_13'], '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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_13' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_13']), 'c_0110_15' : d['c_0101_10'], 'c_0110_14' : d['c_0101_8'], 'c_1010_4' : d['c_0011_14'], 'c_0101_12' : d['c_0101_11'], 'c_0011_7' : d['c_0011_0'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), '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_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], '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' : d['c_0101_3'], 'c_0110_8' : d['c_0011_4'], '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_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1']})} 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_13, c_0011_14, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 75621/10208*c_1100_1^4 - 186269/5104*c_1100_1^3 + 15977/1276*c_1100_1^2 + 21897/5104*c_1100_1 + 708171/10208, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 455/176*c_1100_1^4 - 27/88*c_1100_1^3 - 49/22*c_1100_1^2 - 469/88*c_1100_1 - 431/176, c_0011_13 + 455/176*c_1100_1^4 - 27/88*c_1100_1^3 - 49/22*c_1100_1^2 - 469/88*c_1100_1 - 431/176, c_0011_14 - 1, c_0011_4 + 481/176*c_1100_1^4 + 45/88*c_1100_1^3 - 141/44*c_1100_1^2 - 597/88*c_1100_1 - 653/176, c_0101_0 - 299/176*c_1100_1^4 - 113/88*c_1100_1^3 + 115/44*c_1100_1^2 + 449/88*c_1100_1 + 639/176, c_0101_1 - 1, c_0101_10 - 195/176*c_1100_1^4 + 4/11*c_1100_1^3 + 95/88*c_1100_1^2 + 53/22*c_1100_1 - 51/176, c_0101_11 + 65/44*c_1100_1^4 + 5/88*c_1100_1^3 - 101/88*c_1100_1^2 - 345/88*c_1100_1 - 153/88, c_0101_13 + 273/176*c_1100_1^4 + 41/88*c_1100_1^3 - 18/11*c_1100_1^2 - 321/88*c_1100_1 - 417/176, c_0101_3 - 273/88*c_1100_1^4 - 41/44*c_1100_1^3 + 36/11*c_1100_1^2 + 365/44*c_1100_1 + 329/88, c_0101_5 - 13/11*c_1100_1^4 - 1/22*c_1100_1^3 + 69/44*c_1100_1^2 + 18/11*c_1100_1 + 37/44, c_0101_7 + 195/176*c_1100_1^4 - 4/11*c_1100_1^3 - 95/88*c_1100_1^2 - 32/11*c_1100_1 - 37/176, c_0101_8 - 1/2*c_1100_1 + 1/2, c_1100_1^5 - 19/13*c_1100_1^4 - 18/13*c_1100_1^3 - 10/13*c_1100_1^2 + 37/13*c_1100_1 + 29/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.770 Total time: 7.990 seconds, Total memory usage: 136.66MB