Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 2564359243] 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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(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: 21 Groebner basis: [ t + 407/128*c_0110_0^20 + 567/64*c_0110_0^19 - 2829/64*c_0110_0^18 - 4353/32*c_0110_0^17 + 15073/64*c_0110_0^16 + 54937/64*c_0110_0^15 - 69857/128*c_0110_0^14 - 45453/16*c_0110_0^13 + 26929/128*c_0110_0^12 + 41473/8*c_0110_0^11 + 190171/128*c_0110_0^10 - 633435/128*c_0110_0^9 - 366757/128*c_0110_0^8 + 31991/16*c_0110_0^7 + 62297/32*c_0110_0^6 - 14273/128*c_0110_0^5 - 62029/128*c_0110_0^4 - 975/32*c_0110_0^3 + 1567/32*c_0110_0^2 - 1747/128*c_0110_0 - 189/16, c_0011_0 - 1, c_0011_4 - c_0110_0^19 - 3*c_0110_0^18 + 12*c_0110_0^17 + 41*c_0110_0^16 - 53*c_0110_0^15 - 227*c_0110_0^14 + 91*c_0110_0^13 + 649*c_0110_0^12 + 23*c_0110_0^11 - 1010*c_0110_0^10 - 292*c_0110_0^9 + 827*c_0110_0^8 + 380*c_0110_0^7 - 318*c_0110_0^6 - 200*c_0110_0^5 + 48*c_0110_0^4 + 43*c_0110_0^3 - 9*c_0110_0^2 - 2*c_0110_0 + 2, 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 - 67*c_0110_0^14 - 135*c_0110_0^13 + 171*c_0110_0^12 + 354*c_0110_0^11 - 216*c_0110_0^10 - 487*c_0110_0^9 + 106*c_0110_0^8 + 332*c_0110_0^7 + 12*c_0110_0^6 - 101*c_0110_0^5 - 17*c_0110_0^4 + 16*c_0110_0^3 - 3*c_0110_0^2 - 2*c_0110_0 + 1, c_0110_0^21 + 2*c_0110_0^20 - 16*c_0110_0^19 - 32*c_0110_0^18 + 106*c_0110_0^17 + 214*c_0110_0^16 - 371*c_0110_0^15 - 772*c_0110_0^14 + 717*c_0110_0^13 + 1616*c_0110_0^12 - 697*c_0110_0^11 - 1965*c_0110_0^10 + 171*c_0110_0^9 + 1322*c_0110_0^8 + 218*c_0110_0^7 - 455*c_0110_0^6 - 147*c_0110_0^5 + 82*c_0110_0^4 + 18*c_0110_0^3 - 13*c_0110_0^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB