Magma V2.19-8 Tue Aug 20 2013 16:16:46 on localhost [Seed = 678016224] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1056 geometric_solution 4.93040561 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 3201 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 -1 0 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 1.217841549323 0.197937846075 0 0 1 1 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.468276239921 0.138832614352 3 0 0 4 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 -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 0 -1 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 1.008101334442 0.639303946924 2 5 4 4 0132 0132 3201 2031 0 0 0 0 0 0 -1 1 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 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 0.315874005945 0.645229662672 3 3 2 5 2310 1302 0132 1023 0 0 0 0 0 0 -1 1 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0.315874005945 0.645229662672 6 3 6 4 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 -1 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 0.661088957250 0.980883000540 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 1 0 -1 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 0 1 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 0.369076986290 0.226156328458 ==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' : negation(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_0101_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_3']), '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_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t + 87711/16*c_0101_2*c_0101_5^16 - 420915/8*c_0101_2*c_0101_5^15 + 5828697/32*c_0101_2*c_0101_5^14 - 8202327/32*c_0101_2*c_0101_5^13 + 792397/8*c_0101_2*c_0101_5^12 - 630137/16*c_0101_2*c_0101_5^11 + 5154943/32*c_0101_2*c_0101_5^10 + 2997399/16*c_0101_2*c_0101_5^9 - 798385/2*c_0101_2*c_0101_5^8 - 6700195/32*c_0101_2*c_0101_5^7 + 10460677/32*c_0101_2*c_0101_5^6 + 2540485/16*c_0101_2*c_0101_5^5 - 4285079/32*c_0101_2*c_0101_5^4 - 2537469/32*c_0101_2*c_0101_5^3 + 386099/16*c_0101_2*c_0101_5^2 + 387363/16*c_0101_2*c_0101_5 + 140945/32*c_0101_2, c_0011_0 - 1, c_0011_4 - 239/2*c_0101_2*c_0101_5^16 + 1125*c_0101_2*c_0101_5^15 - 15009/4*c_0101_2*c_0101_5^14 + 19123/4*c_0101_2*c_0101_5^13 - 845*c_0101_2*c_0101_5^12 - 17/2*c_0101_2*c_0101_5^11 - 12175/4*c_0101_2*c_0101_5^10 - 9787/2*c_0101_2*c_0101_5^9 + 8241*c_0101_2*c_0101_5^8 + 25303/4*c_0101_2*c_0101_5^7 - 27689/4*c_0101_2*c_0101_5^6 - 9681/2*c_0101_2*c_0101_5^5 + 11127/4*c_0101_2*c_0101_5^4 + 9253/4*c_0101_2*c_0101_5^3 - 841/2*c_0101_2*c_0101_5^2 - 1325/2*c_0101_2*c_0101_5 - 573/4*c_0101_2, c_0101_0 + 1154*c_0101_5^16 - 11022*c_0101_5^15 + 37807*c_0101_5^14 - 51970*c_0101_5^13 + 17591*c_0101_5^12 - 6091*c_0101_5^11 + 32680*c_0101_5^10 + 41498*c_0101_5^9 - 82979*c_0101_5^8 - 48363*c_0101_5^7 + 68356*c_0101_5^6 + 36777*c_0101_5^5 - 27880*c_0101_5^4 - 18110*c_0101_5^3 + 4832*c_0101_5^2 + 5423*c_0101_5 + 1042, c_0101_1 - 3584*c_0101_2*c_0101_5^16 + 34107*c_0101_2*c_0101_5^15 - 116175*c_0101_2*c_0101_5^14 + 313535/2*c_0101_2*c_0101_5^13 - 46910*c_0101_2*c_0101_5^12 + 13450*c_0101_2*c_0101_5^11 - 98298*c_0101_2*c_0101_5^10 - 267671/2*c_0101_2*c_0101_5^9 + 511023/2*c_0101_2*c_0101_5^8 + 320207/2*c_0101_2*c_0101_5^7 - 211734*c_0101_2*c_0101_5^6 - 243539/2*c_0101_2*c_0101_5^5 + 172389/2*c_0101_2*c_0101_5^4 + 59399*c_0101_2*c_0101_5^3 - 29103/2*c_0101_2*c_0101_5^2 - 35133/2*c_0101_2*c_0101_5 - 6941/2*c_0101_2, c_0101_2^2 - 294*c_0101_5^16 + 2816*c_0101_5^15 - 9713*c_0101_5^14 + 13551*c_0101_5^13 - 5028*c_0101_5^12 + 1995*c_0101_5^11 - 8620*c_0101_5^10 - 10177*c_0101_5^9 + 21199*c_0101_5^8 + 11692*c_0101_5^7 - 17375*c_0101_5^6 - 8906*c_0101_5^5 + 7087*c_0101_5^4 + 4421*c_0101_5^3 - 1245*c_0101_5^2 - 1336*c_0101_5 - 253, c_0101_3 + 2*c_0101_5^16 - 18*c_0101_5^15 + 55*c_0101_5^14 - 54*c_0101_5^13 - 19*c_0101_5^12 + 6*c_0101_5^11 + 51*c_0101_5^10 + 103*c_0101_5^9 - 104*c_0101_5^8 - 163*c_0101_5^7 + 72*c_0101_5^6 + 129*c_0101_5^5 - 13*c_0101_5^4 - 58*c_0101_5^3 - 9*c_0101_5^2 + 15*c_0101_5 + 6, c_0101_5^17 - 9*c_0101_5^16 + 55/2*c_0101_5^15 - 27*c_0101_5^14 - 19/2*c_0101_5^13 + 3*c_0101_5^12 + 51/2*c_0101_5^11 + 103/2*c_0101_5^10 - 52*c_0101_5^9 - 163/2*c_0101_5^8 + 36*c_0101_5^7 + 129/2*c_0101_5^6 - 13/2*c_0101_5^5 - 29*c_0101_5^4 - 9/2*c_0101_5^3 + 7*c_0101_5^2 + 7/2*c_0101_5 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB