Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 2261195349] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1216 geometric_solution 5.11369679 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 1023 0 0 0 0 0 0 -1 1 1 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648502569845 0.042853831210 2 0 2 0 0132 0132 1023 1023 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 -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 0.723736708161 0.108619803183 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 -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 -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 0.720677984746 0.371301486040 5 2 6 4 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 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 0.632865802188 0.985768710662 3 6 2 5 3012 3201 0132 0132 0 0 0 0 0 1 -1 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 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 0.632865802188 0.985768710662 3 5 4 5 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.236657924727 1.295936600700 6 6 4 3 1302 2031 2310 0132 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 0 0 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 0.244316839514 1.337107623251 ==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_0' : d['1'], '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_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_0_6' : 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_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_1, c_0101_2, c_0101_3, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 6690/2197*c_0110_0^18 - 9805/2197*c_0110_0^17 - 97430/2197*c_0110_0^16 + 130510/2197*c_0110_0^15 + 619134/2197*c_0110_0^14 - 728782/2197*c_0110_0^13 - 2260120/2197*c_0110_0^12 + 2213195/2197*c_0110_0^11 + 5224879/2197*c_0110_0^10 - 3949694/2197*c_0110_0^9 - 7894615/2197*c_0110_0^8 + 4155843/2197*c_0110_0^7 + 7712555/2197*c_0110_0^6 - 186675/169*c_0110_0^5 - 4625180/2197*c_0110_0^4 + 658680/2197*c_0110_0^3 + 1509756/2197*c_0110_0^2 - 33102/2197*c_0110_0 - 183306/2197, c_0011_0 - 1, c_0011_4 + c_0110_0^18 - 2*c_0110_0^17 - 13*c_0110_0^16 + 27*c_0110_0^15 + 69*c_0110_0^14 - 152*c_0110_0^13 - 191*c_0110_0^12 + 464*c_0110_0^11 + 288*c_0110_0^10 - 839*c_0110_0^9 - 210*c_0110_0^8 + 927*c_0110_0^7 + 12*c_0110_0^6 - 626*c_0110_0^5 + 91*c_0110_0^4 + 246*c_0110_0^3 - 61*c_0110_0^2 - 44*c_0110_0 + 13, c_0011_6 + c_0110_0^4 - 3*c_0110_0^2 + 1, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_2 + c_0110_0^2 - 1, c_0101_3 - c_0110_0^18 + 2*c_0110_0^17 + 13*c_0110_0^16 - 26*c_0110_0^15 - 71*c_0110_0^14 + 141*c_0110_0^13 + 213*c_0110_0^12 - 414*c_0110_0^11 - 386*c_0110_0^10 + 715*c_0110_0^9 + 438*c_0110_0^8 - 740*c_0110_0^7 - 310*c_0110_0^6 + 449*c_0110_0^5 + 127*c_0110_0^4 - 148*c_0110_0^3 - 21*c_0110_0^2 + 20*c_0110_0 - 1, c_0110_0^19 - 2*c_0110_0^18 - 14*c_0110_0^17 + 28*c_0110_0^16 + 84*c_0110_0^15 - 166*c_0110_0^14 - 285*c_0110_0^13 + 544*c_0110_0^12 + 609*c_0110_0^11 - 1080*c_0110_0^10 - 863*c_0110_0^9 + 1341*c_0110_0^8 + 823*c_0110_0^7 - 1040*c_0110_0^6 - 512*c_0110_0^5 + 487*c_0110_0^4 + 187*c_0110_0^3 - 124*c_0110_0^2 - 30*c_0110_0 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB