Magma V2.19-8 Tue Aug 20 2013 16:16:25 on localhost [Seed = 3330759211] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0694 geometric_solution 4.65387629 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.443642868845 0.408553284672 0 2 3 0 3201 0132 0132 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 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 0.904522042220 0.337999683525 3 1 3 4 2103 0132 1302 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 0 0 1 -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 0.734977146476 0.645467209689 2 4 2 1 2031 0132 2103 0132 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734977146476 0.645467209689 5 3 2 5 0132 0132 0132 1023 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 0 0 0 0 0 0 -1 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 0.417932674475 0.180750524475 4 6 6 4 0132 0132 1023 1023 0 0 0 0 0 0 0 0 1 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 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 1.183726010738 0.738426359156 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 1 -1 1 0 0 -1 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 1.684571356265 0.277082027847 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : 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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_1'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_5, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3057291463144976/75786280457119*c_1001_1^11 + 21309922546291242/75786280457119*c_1001_1^10 - 27177006411976608/75786280457119*c_1001_1^9 - 67580825901238510/75786280457119*c_1001_1^8 + 98523948698732737/75786280457119*c_1001_1^7 + 133572772480661041/75786280457119*c_1001_1^6 - 233728248587319162/75786280457119*c_1001_1^5 - 44066475554245259/75786280457119*c_1001_1^4 + 201847796508132489/75786280457119*c_1001_1^3 - 50476241232074152/75786280457119*c_1001_1^2 - 26674943900105034/75786280457119*c_1001_1 + 3756533977863584/75786280457119, c_0011_0 - 1, c_0011_1 - 237855787526176/75786280457119*c_1001_1^11 + 1529097652790740/75786280457119*c_1001_1^10 - 1364761146749088/75786280457119*c_1001_1^9 - 5562228007444872/75786280457119*c_1001_1^8 + 4598601805347149/75786280457119*c_1001_1^7 + 10940473158534485/75786280457119*c_1001_1^6 - 12424896545131997/75786280457119*c_1001_1^5 - 6468900100763257/75786280457119*c_1001_1^4 + 11223848913879950/75786280457119*c_1001_1^3 - 1247397354117451/75786280457119*c_1001_1^2 - 1618238224097264/75786280457119*c_1001_1 + 227472080757411/75786280457119, c_0011_3 + 80100413171264/75786280457119*c_1001_1^11 - 466899744218536/75786280457119*c_1001_1^10 + 179510510314728/75786280457119*c_1001_1^9 + 1977520157926336/75786280457119*c_1001_1^8 - 336926595926432/75786280457119*c_1001_1^7 - 3925343220564914/75786280457119*c_1001_1^6 + 1772859321965999/75786280457119*c_1001_1^5 + 3338927315119464/75786280457119*c_1001_1^4 - 1696182258689607/75786280457119*c_1001_1^3 - 806660092133525/75786280457119*c_1001_1^2 + 128441849487485/75786280457119*c_1001_1 + 78695522671796/75786280457119, c_0101_0 - 108841663570552/75786280457119*c_1001_1^11 + 719568500656675/75786280457119*c_1001_1^10 - 745525630251285/75786280457119*c_1001_1^9 - 2473340226293102/75786280457119*c_1001_1^8 + 2602067748764500/75786280457119*c_1001_1^7 + 4782968762776872/75786280457119*c_1001_1^6 - 6714351331500415/75786280457119*c_1001_1^5 - 2245045642595818/75786280457119*c_1001_1^4 + 6016666103927063/75786280457119*c_1001_1^3 - 1257866881709044/75786280457119*c_1001_1^2 - 999219593798872/75786280457119*c_1001_1 + 204008906185371/75786280457119, c_0101_5 - 389905599425712/75786280457119*c_1001_1^11 + 2433375897080046/75786280457119*c_1001_1^10 - 1822005145747740/75786280457119*c_1001_1^9 - 9221352910329716/75786280457119*c_1001_1^8 + 5733383340605137/75786280457119*c_1001_1^7 + 17996677179971328/75786280457119*c_1001_1^6 - 16900868195575829/75786280457119*c_1001_1^5 - 11874298719963489/75786280457119*c_1001_1^4 + 15431099746359769/75786280457119*c_1001_1^3 - 690147210943310/75786280457119*c_1001_1^2 - 2040023903008632/75786280457119*c_1001_1 + 231686031959081/75786280457119, c_0101_6 + 445026349589640/75786280457119*c_1001_1^11 - 2666560266859125/75786280457119*c_1001_1^10 + 1448045571664310/75786280457119*c_1001_1^9 + 10699407571982811/75786280457119*c_1001_1^8 - 3820005207640474/75786280457119*c_1001_1^7 - 20711534775784134/75786280457119*c_1001_1^6 + 14072702877383250/75786280457119*c_1001_1^5 + 15565363328321952/75786280457119*c_1001_1^4 - 13087496061784440/75786280457119*c_1001_1^3 - 1282963448790180/75786280457119*c_1001_1^2 + 1487562829718809/75786280457119*c_1001_1 - 65699061320429/75786280457119, c_1001_1^12 - 53/8*c_1001_1^11 + 7*c_1001_1^10 + 89/4*c_1001_1^9 - 191/8*c_1001_1^8 - 169/4*c_1001_1^7 + 489/8*c_1001_1^6 + 137/8*c_1001_1^5 - 419/8*c_1001_1^4 + 14*c_1001_1^3 + 47/8*c_1001_1^2 - 2*c_1001_1 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB