Magma V2.19-8 Tue Aug 20 2013 16:17:40 on localhost [Seed = 2261195367] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1896 geometric_solution 5.51166143 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 -1 -1 2 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 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 0.455401987839 1.436507435453 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.657312495016 0.481171015059 4 5 3 0 0132 0132 1230 0132 0 0 0 0 0 0 -1 1 -1 0 0 1 0 -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 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625625923005 1.086936767452 5 4 0 2 3201 0132 0132 3012 0 0 0 0 0 1 -2 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 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 0.625625923005 1.086936767452 2 3 4 4 0132 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447629913522 0.354012360508 6 2 6 3 0132 0132 2310 2310 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305109034216 1.866425341153 5 5 6 6 0132 3201 1230 3012 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 0.238338355500 0.200540026968 ==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' : 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_2'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0110_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 27 Groebner basis: [ t + 1106*c_0110_3^26 - 21004*c_0110_3^25 + 179821*c_0110_3^24 - 910439*c_0110_3^23 + 2994577*c_0110_3^22 - 6568671*c_0110_3^21 + 9318957*c_0110_3^20 - 7366913*c_0110_3^19 + 1030426*c_0110_3^18 + 2691490*c_0110_3^17 - 168901*c_0110_3^16 + 372969*c_0110_3^15 - 11851168*c_0110_3^14 + 23905353*c_0110_3^13 - 18249760*c_0110_3^12 - 2338458*c_0110_3^11 + 16012827*c_0110_3^10 - 11949851*c_0110_3^9 + 873380*c_0110_3^8 + 4231713*c_0110_3^7 - 2662366*c_0110_3^6 + 163648*c_0110_3^5 + 515249*c_0110_3^4 - 221660*c_0110_3^3 - 109*c_0110_3^2 + 22266*c_0110_3 - 4480, c_0011_0 - 1, c_0011_2 + 608*c_0110_3^26 - 11353*c_0110_3^25 + 95268*c_0110_3^24 - 470852*c_0110_3^23 + 1503142*c_0110_3^22 - 3170950*c_0110_3^21 + 4249009*c_0110_3^20 - 3003534*c_0110_3^19 + 34228*c_0110_3^18 + 1208825*c_0110_3^17 + 233628*c_0110_3^16 + 445105*c_0110_3^15 - 6294766*c_0110_3^14 + 11094992*c_0110_3^13 - 7149985*c_0110_3^12 - 2381644*c_0110_3^11 + 7389368*c_0110_3^10 - 4620666*c_0110_3^9 - 188177*c_0110_3^8 + 1898005*c_0110_3^7 - 981043*c_0110_3^6 - 19753*c_0110_3^5 + 215102*c_0110_3^4 - 75750*c_0110_3^3 - 4281*c_0110_3^2 + 8189*c_0110_3 - 1423, c_0101_0 - 283*c_0110_3^26 + 5304*c_0110_3^25 - 44668*c_0110_3^24 + 221541*c_0110_3^23 - 709717*c_0110_3^22 + 1502631*c_0110_3^21 - 2021952*c_0110_3^20 + 1438736*c_0110_3^19 - 25415*c_0110_3^18 - 576543*c_0110_3^17 - 110006*c_0110_3^16 - 195449*c_0110_3^15 + 2971980*c_0110_3^14 - 5279181*c_0110_3^13 + 3430048*c_0110_3^12 + 1105334*c_0110_3^11 - 3510085*c_0110_3^10 + 2208587*c_0110_3^9 + 79825*c_0110_3^8 - 900211*c_0110_3^7 + 467777*c_0110_3^6 + 8180*c_0110_3^5 - 101903*c_0110_3^4 + 36024*c_0110_3^3 + 1989*c_0110_3^2 - 3874*c_0110_3 + 673, c_0101_1 - 658*c_0110_3^26 + 12127*c_0110_3^25 - 100431*c_0110_3^24 + 489719*c_0110_3^23 - 1541322*c_0110_3^22 + 3200619*c_0110_3^21 - 4205588*c_0110_3^20 + 2875726*c_0110_3^19 + 56506*c_0110_3^18 - 1159725*c_0110_3^17 - 284450*c_0110_3^16 - 590300*c_0110_3^15 + 6489803*c_0110_3^14 - 10989103*c_0110_3^13 + 6758520*c_0110_3^12 + 2644810*c_0110_3^11 - 7299438*c_0110_3^10 + 4389587*c_0110_3^9 + 293198*c_0110_3^8 - 1862617*c_0110_3^7 + 927370*c_0110_3^6 + 33867*c_0110_3^5 - 208561*c_0110_3^4 + 71002*c_0110_3^3 + 4710*c_0110_3^2 - 7807*c_0110_3 + 1331, c_0101_2 + c_0110_3^26 - 18*c_0110_3^25 + 146*c_0110_3^24 - 700*c_0110_3^23 + 2179*c_0110_3^22 - 4520*c_0110_3^21 + 6060*c_0110_3^20 - 4541*c_0110_3^19 + 705*c_0110_3^18 + 1199*c_0110_3^17 + 57*c_0110_3^16 + 1200*c_0110_3^15 - 8695*c_0110_3^14 + 15120*c_0110_3^13 - 10756*c_0110_3^12 - 1524*c_0110_3^11 + 9346*c_0110_3^10 - 7171*c_0110_3^9 + 957*c_0110_3^8 + 2200*c_0110_3^7 - 1627*c_0110_3^6 + 265*c_0110_3^5 + 239*c_0110_3^4 - 148*c_0110_3^3 + 20*c_0110_3^2 + 10*c_0110_3 - 4, c_0101_5 + 54*c_0110_3^26 - 1029*c_0110_3^25 + 8821*c_0110_3^24 - 44615*c_0110_3^23 + 146191*c_0110_3^22 - 318295*c_0110_3^21 + 445545*c_0110_3^20 - 342310*c_0110_3^19 + 36549*c_0110_3^18 + 127411*c_0110_3^17 + 4076*c_0110_3^16 + 22712*c_0110_3^15 - 592267*c_0110_3^14 + 1149105*c_0110_3^13 - 837575*c_0110_3^12 - 149269*c_0110_3^11 + 763458*c_0110_3^10 - 542976*c_0110_3^9 + 25081*c_0110_3^8 + 198405*c_0110_3^7 - 118715*c_0110_3^6 + 5260*c_0110_3^5 + 23442*c_0110_3^4 - 9634*c_0110_3^3 - 99*c_0110_3^2 + 969*c_0110_3 - 191, c_0110_3^27 - 19*c_0110_3^26 + 163*c_0110_3^25 - 829*c_0110_3^24 + 2750*c_0110_3^23 - 6128*c_0110_3^22 + 8972*c_0110_3^21 - 7689*c_0110_3^20 + 2098*c_0110_3^19 + 1887*c_0110_3^18 - 454*c_0110_3^17 + 632*c_0110_3^16 - 10463*c_0110_3^15 + 22047*c_0110_3^14 - 18949*c_0110_3^13 + 1039*c_0110_3^12 + 13433*c_0110_3^11 - 12430*c_0110_3^10 + 2869*c_0110_3^9 + 3155*c_0110_3^8 - 2872*c_0110_3^7 + 647*c_0110_3^6 + 356*c_0110_3^5 - 270*c_0110_3^4 + 46*c_0110_3^3 + 16*c_0110_3^2 - 8*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB