Magma V2.19-8 Tue Aug 20 2013 17:56:14 on localhost [Seed = 2193831245] Type ? for help. Type -D to quit. Loading file "10^2_134__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_134 geometric_solution 11.64617610 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 1 0 0 -2 2 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268963707583 1.043062528769 0 4 6 5 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.093450350030 1.401925281678 7 0 5 8 0132 0132 1302 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450591236052 0.642915870242 7 9 6 0 2031 0132 3120 0132 1 1 1 1 0 0 0 0 0 0 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 -1 0 1 -1 0 -1 2 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634158284356 1.019558008535 1 7 0 8 1023 0132 0132 0213 1 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 0 0 0 0 0 1 -1 0 1 0 -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 0.325251487219 0.502982139865 2 10 1 7 2031 0132 0132 1023 1 1 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325251487219 0.502982139865 11 11 3 1 0132 1230 3120 0132 1 1 0 1 0 -1 1 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 0 0 0 0 0 1 -1 0 -1 0 1 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 0.454493379527 0.795359550226 2 4 3 5 0132 0132 1302 1023 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 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 0 0 0 0 0 0 0.093450350030 1.401925281678 10 11 2 4 3201 2310 0132 0213 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560117941576 0.707213461593 10 3 11 10 0321 0132 2310 1302 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 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 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 0.586456353426 0.855065078925 9 5 9 8 0321 0132 2031 2310 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 1 -1 -1 0 1 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458395523003 0.947803230210 6 9 6 8 0132 3201 3012 3201 1 1 1 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 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 0.458395523003 0.947803230210 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : d['c_0110_4'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_11'], '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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0110_4, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 293/228*c_1001_0^6 - 1469/228*c_1001_0^5 - 1529/304*c_1001_0^4 + 2231/456*c_1001_0^3 - 101/912*c_1001_0^2 - 3245/304*c_1001_0 - 2675/456, c_0011_0 - 1, c_0011_10 - 53/57*c_1001_0^6 + 39/19*c_1001_0^5 + 61/228*c_1001_0^4 - 325/57*c_1001_0^3 + 763/228*c_1001_0^2 + 887/228*c_1001_0 - 248/57, c_0011_11 - 2/3*c_1001_0^6 + 2*c_1001_0^5 - 7/6*c_1001_0^4 - 7/3*c_1001_0^3 + 17/6*c_1001_0^2 + 1/6*c_1001_0 - 2/3, c_0011_3 + 64/57*c_1001_0^6 - 104/57*c_1001_0^5 - 20/19*c_1001_0^4 + 310/57*c_1001_0^3 - 83/57*c_1001_0^2 - 65/19*c_1001_0 + 155/57, c_0011_8 - 28/19*c_1001_0^6 + 184/57*c_1001_0^5 + 17/57*c_1001_0^4 - 433/57*c_1001_0^3 + 85/19*c_1001_0^2 + 250/57*c_1001_0 - 245/57, c_0101_0 - 1, c_0101_1 + 53/57*c_1001_0^6 - 39/19*c_1001_0^5 - 61/228*c_1001_0^4 + 325/57*c_1001_0^3 - 763/228*c_1001_0^2 - 887/228*c_1001_0 + 248/57, c_0101_3 + 11/57*c_1001_0^6 + 13/57*c_1001_0^5 - 179/228*c_1001_0^4 - 5/19*c_1001_0^3 + 431/228*c_1001_0^2 + 107/228*c_1001_0 - 31/19, c_0101_6 - 64/57*c_1001_0^6 + 104/57*c_1001_0^5 + 20/19*c_1001_0^4 - 310/57*c_1001_0^3 + 83/57*c_1001_0^2 + 65/19*c_1001_0 - 155/57, c_0110_4 + 11/57*c_1001_0^6 + 13/57*c_1001_0^5 - 179/228*c_1001_0^4 - 5/19*c_1001_0^3 + 431/228*c_1001_0^2 + 107/228*c_1001_0 - 31/19, c_0110_5 - 1, c_1001_0^7 - c_1001_0^6 - 9/4*c_1001_0^5 + 5*c_1001_0^4 + 9/4*c_1001_0^3 - 23/4*c_1001_0^2 + c_1001_0 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB