Magma V2.19-8 Tue Aug 20 2013 16:17:39 on localhost [Seed = 829468119] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1889 geometric_solution 5.50827678 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 -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 0.304118907430 0.376498302385 0 1 0 1 0132 2310 2310 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 0 1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.297018745918 0.619622309728 4 3 5 0 0132 3012 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671379799496 1.007629086523 2 4 0 5 1230 0132 0132 3201 0 0 0 0 0 1 -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 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 0 0 0 0.671379799496 1.007629086523 2 3 6 6 0132 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.223142694415 1.458102274535 5 3 5 2 2310 2310 3201 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 0 0 0 -1 0 1 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 -0.168097834641 1.175195586590 6 4 6 4 2031 2310 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.427288226741 0.999306218875 ==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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_2']), '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_2']), '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' : negation(d['c_0101_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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 147444850559/858420789*c_0101_2^23 - 62749039049/37322643*c_0101_2^21 + 93895571671/12440881*c_0101_2^19 - 17815032319919/858420789*c_0101_2^17 + 37892799066887/858420789*c_0101_2^15 - 26253199898814/286140263*c_0101_2^13 + 130369942116218/858420789*c_0101_2^11 - 124382472729604/858420789*c_0101_2^9 + 19543071952038/286140263*c_0101_2^7 - 13102478762162/858420789*c_0101_2^5 + 3035976238862/858420789*c_0101_2^3 - 874555163980/858420789*c_0101_2, c_0011_0 - 1, c_0011_2 + 789694755/286140263*c_0101_2^23 - 318474269/12440881*c_0101_2^21 + 1350266401/12440881*c_0101_2^19 - 80483165759/286140263*c_0101_2^17 + 165667581581/286140263*c_0101_2^15 - 346612794516/286140263*c_0101_2^13 + 539897177288/286140263*c_0101_2^11 - 430242234992/286140263*c_0101_2^9 + 152534841386/286140263*c_0101_2^7 - 27681895878/286140263*c_0101_2^5 + 7728338419/286140263*c_0101_2^3 - 1127209943/286140263*c_0101_2, c_0011_5 - 609375019/286140263*c_0101_2^22 + 245067791/12440881*c_0101_2^20 - 1034677197/12440881*c_0101_2^18 + 61314480486/286140263*c_0101_2^16 - 125603110854/286140263*c_0101_2^14 + 262773275992/286140263*c_0101_2^12 - 407057992200/286140263*c_0101_2^10 + 315512529527/286140263*c_0101_2^8 - 102241192719/286140263*c_0101_2^6 + 17006950779/286140263*c_0101_2^4 - 6722417366/286140263*c_0101_2^2 + 832687407/286140263, c_0011_6 + 438308912/286140263*c_0101_2^23 - 177342865/12440881*c_0101_2^21 + 751397461/12440881*c_0101_2^19 - 44542842067/286140263*c_0101_2^17 + 90877220194/286140263*c_0101_2^15 - 189715671917/286140263*c_0101_2^13 + 294995988525/286140263*c_0101_2^11 - 225145477859/286140263*c_0101_2^9 + 63288754730/286140263*c_0101_2^7 - 9181620627/286140263*c_0101_2^5 + 6028603314/286140263*c_0101_2^3 - 109463613/286140263*c_0101_2, c_0101_0 - 399081687/286140263*c_0101_2^22 + 165849400/12440881*c_0101_2^20 - 724259499/12440881*c_0101_2^18 + 44407536958/286140263*c_0101_2^16 - 92530423374/286140263*c_0101_2^14 + 192587306774/286140263*c_0101_2^12 - 310133406786/286140263*c_0101_2^10 + 268333507457/286140263*c_0101_2^8 - 103632884442/286140263*c_0101_2^6 + 19958177160/286140263*c_0101_2^4 - 6280201396/286140263*c_0101_2^2 + 908311857/286140263, c_0101_1 - 794840380/286140263*c_0101_2^22 + 321068634/12440881*c_0101_2^20 - 1363566892/12440881*c_0101_2^18 + 81423263927/286140263*c_0101_2^16 - 167794806548/286140263*c_0101_2^14 + 351092925864/286140263*c_0101_2^12 - 548212460883/286140263*c_0101_2^10 + 440127933933/286140263*c_0101_2^8 - 159579095808/286140263*c_0101_2^6 + 32572110585/286140263*c_0101_2^4 - 9967433990/286140263*c_0101_2^2 + 1298924925/286140263, c_0101_2^24 - 10*c_0101_2^22 + 46*c_0101_2^20 - 130*c_0101_2^18 + 282*c_0101_2^16 - 587*c_0101_2^14 + 994*c_0101_2^12 - 1024*c_0101_2^10 + 565*c_0101_2^8 - 163*c_0101_2^6 + 36*c_0101_2^4 - 10*c_0101_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB