Magma V2.19-8 Tue Aug 20 2013 17:54:59 on localhost [Seed = 1579149805] Type ? for help. Type -D to quit. Loading file "7_6__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 7_6 geometric_solution 7.08492595 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.048163552474 0.672988768166 0 4 4 3 0132 0132 1302 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531533479457 1.034025136528 0 0 6 5 3012 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.675554325697 0.433749554072 7 1 5 0 0132 0321 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872877429097 1.269383059538 1 1 5 6 2031 0132 0213 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.606777100592 0.764960962875 3 4 2 7 2031 0213 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.311023095580 0.628562663391 7 7 4 2 2031 0132 2031 0132 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 -1 1 0 0 0 0 7 -8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.124309516921 1.173372202681 3 6 6 5 0132 0132 1302 0213 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 1 0 0 -1 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.089286445852 0.842785301023 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], '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_1_7' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_6' : negation(d['c_0110_4']), 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0110_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0110_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_2, c_0101_5, c_0101_6, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 12951/19*c_1001_0^8 + 31807/19*c_1001_0^7 + 99274/19*c_1001_0^6 + 179134/19*c_1001_0^5 + 330037/19*c_1001_0^4 + 429277/19*c_1001_0^3 + 349544/19*c_1001_0^2 + 146826/19*c_1001_0 + 23835/19, c_0011_0 - 1, c_0011_3 - 31*c_1001_0^8 - 78*c_1001_0^7 - 241*c_1001_0^6 - 441*c_1001_0^5 - 808*c_1001_0^4 - 1064*c_1001_0^3 - 876*c_1001_0^2 - 378*c_1001_0 - 63, c_0011_5 - 6*c_1001_0^8 - 17*c_1001_0^7 - 51*c_1001_0^6 - 99*c_1001_0^5 - 180*c_1001_0^4 - 249*c_1001_0^3 - 223*c_1001_0^2 - 112*c_1001_0 - 23, c_0101_2 + 15*c_1001_0^8 + 34*c_1001_0^7 + 109*c_1001_0^6 + 188*c_1001_0^5 + 350*c_1001_0^4 + 437*c_1001_0^3 + 333*c_1001_0^2 + 121*c_1001_0 + 15, c_0101_5 - c_1001_0^8 - 3*c_1001_0^7 - 9*c_1001_0^6 - 18*c_1001_0^5 - 33*c_1001_0^4 - 47*c_1001_0^3 - 45*c_1001_0^2 - 27*c_1001_0 - 7, c_0101_6 - 32*c_1001_0^8 - 84*c_1001_0^7 - 256*c_1001_0^6 - 479*c_1001_0^5 - 873*c_1001_0^4 - 1171*c_1001_0^3 - 990*c_1001_0^2 - 448*c_1001_0 - 79, c_0110_4 + 4*c_1001_0^7 + 8*c_1001_0^6 + 27*c_1001_0^5 + 43*c_1001_0^4 + 82*c_1001_0^3 + 95*c_1001_0^2 + 64*c_1001_0 + 16, c_1001_0^9 + 3*c_1001_0^8 + 9*c_1001_0^7 + 18*c_1001_0^6 + 33*c_1001_0^5 + 47*c_1001_0^4 + 45*c_1001_0^3 + 26*c_1001_0^2 + 8*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB