Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 1478083885] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2903 geometric_solution 6.10909475 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.479721889753 0.312928139108 2 0 3 0 0132 0132 0132 1023 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 -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 1.696160499888 0.881983443961 1 4 5 6 0132 0132 0132 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 -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 0.336171581844 0.677673819575 6 5 4 1 0132 0132 3201 0132 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 -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 0.336171581844 0.677673819575 3 2 4 4 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145099542117 0.872888682080 5 3 5 2 2310 0132 3201 0132 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 -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 0.360218226183 0.677937904182 3 6 2 6 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 1 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.003155597310 1.399549284620 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 290579887/103678218*c_0110_0^20 + 58467559/1645686*c_0110_0^18 - 9479114033/51839109*c_0110_0^16 + 18011803865/34559406*c_0110_0^14 - 52389788620/51839109*c_0110_0^12 + 27723559312/17279703*c_0110_0^10 - 16110832288/7405587*c_0110_0^8 + 33679695209/14811174*c_0110_0^6 - 82122589453/51839109*c_0110_0^4 + 22181589869/34559406*c_0110_0^2 - 5515332097/51839109, c_0011_0 - 1, c_0011_3 + 132698/822843*c_0110_0^21 - 81677/39183*c_0110_0^19 + 9031535/822843*c_0110_0^17 - 8784137/274281*c_0110_0^15 + 52100227/822843*c_0110_0^13 - 9338895/91427*c_0110_0^11 + 16581658/117549*c_0110_0^9 - 17760313/117549*c_0110_0^7 + 91631422/822843*c_0110_0^5 - 4684835/91427*c_0110_0^3 + 9651937/822843*c_0110_0, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_2 - c_0110_0^2 + 1, c_0101_3 + 19916/822843*c_0110_0^21 - 18095/39183*c_0110_0^19 + 2871860/822843*c_0110_0^17 - 3827042/274281*c_0110_0^15 + 28148935/822843*c_0110_0^13 - 5512361/91427*c_0110_0^11 + 10534282/117549*c_0110_0^9 - 13247005/117549*c_0110_0^7 + 84472492/822843*c_0110_0^5 - 5137796/91427*c_0110_0^3 + 11986792/822843*c_0110_0, c_0101_4 - 9655/39183*c_0110_0^20 + 127945/39183*c_0110_0^18 - 694580/39183*c_0110_0^16 + 2092589/39183*c_0110_0^14 - 4224349/39183*c_0110_0^12 + 6833548/39183*c_0110_0^10 - 3165152/13061*c_0110_0^8 + 10370396/39183*c_0110_0^6 - 7748323/39183*c_0110_0^4 + 3484348/39183*c_0110_0^2 - 242840/13061, c_0110_0^22 - 14*c_0110_0^20 + 82*c_0110_0^18 - 272*c_0110_0^16 + 605*c_0110_0^14 - 1045*c_0110_0^12 + 1526*c_0110_0^10 - 1827*c_0110_0^8 + 1623*c_0110_0^6 - 964*c_0110_0^4 + 335*c_0110_0^2 - 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB