Magma V2.19-8 Tue Aug 20 2013 16:16:02 on localhost [Seed = 3583265043] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0279 geometric_solution 4.32372357 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 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 0.126681953942 0.058399921339 0 3 0 3 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 -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 1 0 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.505397463945 2.667559182917 2 0 2 0 2031 2310 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7.405023905912 3.039245198791 1 1 4 5 3201 0132 0132 0132 0 0 0 0 0 0 0 0 -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 -1 0 1 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 0.193202562200 0.499178225046 6 6 5 3 0132 3201 2031 0132 0 0 0 0 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 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 0.512755608143 1.034177731151 6 6 3 4 1023 2310 0132 1302 0 0 0 0 0 1 0 -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 -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 0.512755608143 1.034177731151 4 5 4 5 0132 1023 2310 3201 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.384823991744 0.776152218238 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : 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_0_6' : negation(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' : d['c_0011_4'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 10649219223980704/520858499294909*c_0101_0*c_0101_5^10 - 250757206073984/17960637906721*c_0101_0*c_0101_5^9 + 8774234998689288/520858499294909*c_0101_0*c_0101_5^8 + 46997562160030964/520858499294909*c_0101_0*c_0101_5^7 - 2255422570832626/520858499294909*c_0101_0*c_0101_5^6 - 154995812583755037/520858499294909*c_0101_0*c_0101_5^5 + 53147849159904731/1041716998589818*c_0101_0*c_0101_5^4 + 373918838745221811/1041716998589818*c_0101_0*c_0101_5^3 + 36814192544209871/520858499294909*c_0101_0*c_0101_5^2 - 4461861547753833/35921275813442*c_0101_0*c_0101_5 - 64441866943616211/1041716998589818*c_0101_0, c_0011_0 - 1, c_0011_2 + 325709107776/17960637906721*c_0101_5^10 - 1028519791456/17960637906721*c_0101_5^9 - 3450435270304/17960637906721*c_0101_5^8 - 2982784952120/17960637906721*c_0101_5^7 + 4507529032720/17960637906721*c_0101_5^6 + 14418486634430/17960637906721*c_0101_5^5 - 15143443425526/17960637906721*c_0101_5^4 - 28302781331017/17960637906721*c_0101_5^3 + 6911266340224/17960637906721*c_0101_5^2 + 25160289965385/17960637906721*c_0101_5 + 14911614944781/17960637906721, c_0011_4 + 12359555170304/17960637906721*c_0101_5^10 + 2659408725248/17960637906721*c_0101_5^9 - 12603693184768/17960637906721*c_0101_5^8 - 47021461588480/17960637906721*c_0101_5^7 + 28436936653824/17960637906721*c_0101_5^6 + 174057177450096/17960637906721*c_0101_5^5 - 120103943619136/17960637906721*c_0101_5^4 - 176472383583888/17960637906721*c_0101_5^3 + 63924397947824/17960637906721*c_0101_5^2 + 60481596570778/17960637906721*c_0101_5 - 7928435059196/17960637906721, c_0101_0^2 - 719993512880/17960637906721*c_0101_5^10 - 1305725931952/17960637906721*c_0101_5^9 - 1559743462056/17960637906721*c_0101_5^8 + 3843129622754/17960637906721*c_0101_5^7 + 3023571319477/17960637906721*c_0101_5^6 - 4829999357073/17960637906721*c_0101_5^5 - 14612223964060/17960637906721*c_0101_5^4 + 2385022324941/17960637906721*c_0101_5^3 + 21397400944545/17960637906721*c_0101_5^2 + 3646450677675/17960637906721*c_0101_5 - 12438323255487/17960637906721, c_0101_1 - 3046794290336/17960637906721*c_0101_5^10 + 719993512880/17960637906721*c_0101_5^9 + 5875917367456/17960637906721*c_0101_5^8 + 13366071337108/17960637906721*c_0101_5^7 - 14316484995784/17960637906721*c_0101_5^6 - 49106334960809/17960637906721*c_0101_5^5 + 44247900488295/17960637906721*c_0101_5^4 + 71549192264714/17960637906721*c_0101_5^3 - 36090184161783/17960637906721*c_0101_5^2 - 54531288851949/17960637906721*c_0101_5 + 5874781479625/17960637906721, c_0101_4 + 719993512880/17960637906721*c_0101_5^10 + 1305725931952/17960637906721*c_0101_5^9 + 1559743462056/17960637906721*c_0101_5^8 - 3843129622754/17960637906721*c_0101_5^7 - 3023571319477/17960637906721*c_0101_5^6 + 4829999357073/17960637906721*c_0101_5^5 + 14612223964060/17960637906721*c_0101_5^4 - 2385022324941/17960637906721*c_0101_5^3 - 39358038851266/17960637906721*c_0101_5^2 - 3646450677675/17960637906721*c_0101_5 + 12438323255487/17960637906721, c_0101_5^11 - 3/2*c_0101_5^9 - 31/8*c_0101_5^8 + 55/16*c_0101_5^7 + 121/8*c_0101_5^6 - 207/16*c_0101_5^5 - 299/16*c_0101_5^4 + 177/16*c_0101_5^3 + 87/8*c_0101_5^2 - 25/8*c_0101_5 - 29/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB