Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 3667609556] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3398 geometric_solution 6.56098001 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 0 0 0 0 0 0 1 -1 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 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 0.610372449535 0.560353410758 0 4 3 5 0132 0132 3012 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 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 0.445932738179 0.706274271301 5 0 4 0 3120 0132 0321 1023 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 0.620441682678 0.896962578446 6 1 6 0 0132 1230 0213 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819282680384 0.754682217674 5 1 2 6 1302 0132 0321 1023 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 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 -0.047206517475 1.326031511722 6 4 1 2 2103 2031 0132 3120 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.380814076062 0.926329610568 3 3 5 4 0132 0213 2103 1023 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 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 0.473427872239 0.960438447871 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_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_2']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0110_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_0011_5, c_0101_0, c_0101_1, c_0110_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 216842396/1784405*c_0110_4^11 - 1254916007/3568810*c_0110_4^10 + 760176378/1784405*c_0110_4^9 + 9059142/1784405*c_0110_4^8 - 1907273239/3568810*c_0110_4^7 + 745112351/1784405*c_0110_4^6 + 489583643/1784405*c_0110_4^5 - 231423477/509830*c_0110_4^4 + 438699/41986*c_0110_4^3 + 631949761/3568810*c_0110_4^2 - 11587627/713762*c_0110_4 - 58097756/1784405, c_0011_0 - 1, c_0011_3 + 28301680/50983*c_0110_4^11 - 81735114/50983*c_0110_4^10 + 94484595/50983*c_0110_4^9 - 9984517/50983*c_0110_4^8 - 98099857/50983*c_0110_4^7 + 67337145/50983*c_0110_4^6 + 55752365/50983*c_0110_4^5 - 69195893/50983*c_0110_4^4 - 97251/2999*c_0110_4^3 + 19098907/50983*c_0110_4^2 - 500353/50983*c_0110_4 - 2548839/50983, c_0011_5 + 23429535/50983*c_0110_4^11 - 59321996/50983*c_0110_4^10 + 60376613/50983*c_0110_4^9 + 5812934/50983*c_0110_4^8 - 72995531/50983*c_0110_4^7 + 32464062/50983*c_0110_4^6 + 48275209/50983*c_0110_4^5 - 38715622/50983*c_0110_4^4 - 454086/2999*c_0110_4^3 + 10248651/50983*c_0110_4^2 + 984815/50983*c_0110_4 - 1205401/50983, c_0101_0 - 21951028/50983*c_0110_4^11 + 55600237/50983*c_0110_4^10 - 56297973/50983*c_0110_4^9 - 5710968/50983*c_0110_4^8 + 68560010/50983*c_0110_4^7 - 29965895/50983*c_0110_4^6 - 45522127/50983*c_0110_4^5 + 36013523/50983*c_0110_4^4 + 445089/2999*c_0110_4^3 - 9432923/50983*c_0110_4^2 - 984815/50983*c_0110_4 + 1103435/50983, c_0101_1 + 31035481/50983*c_0110_4^11 - 82864688/50983*c_0110_4^10 + 90336874/50983*c_0110_4^9 - 678311/50983*c_0110_4^8 - 100797711/50983*c_0110_4^7 + 57199945/50983*c_0110_4^6 + 61367984/50983*c_0110_4^5 - 62667444/50983*c_0110_4^4 - 326057/2999*c_0110_4^3 + 17267488/50983*c_0110_4^2 + 175140/50983*c_0110_4 - 2243363/50983, c_0110_2 - 12526753/50983*c_0110_4^11 + 30594450/50983*c_0110_4^10 - 29060062/50983*c_0110_4^9 - 5946139/50983*c_0110_4^8 + 38425292/50983*c_0110_4^7 - 13143926/50983*c_0110_4^6 - 26981406/50983*c_0110_4^5 + 17312504/50983*c_0110_4^4 + 341913/2999*c_0110_4^3 - 4263200/50983*c_0110_4^2 - 864040/50983*c_0110_4 + 373113/50983, c_0110_4^12 - 102/29*c_0110_4^11 + 153/29*c_0110_4^10 - 78/29*c_0110_4^9 - 89/29*c_0110_4^8 + 136/29*c_0110_4^7 + 5/29*c_0110_4^6 - 107/29*c_0110_4^5 + 50/29*c_0110_4^4 + 19/29*c_0110_4^3 - 15/29*c_0110_4^2 - 2/29*c_0110_4 + 2/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB