Magma V2.19-8 Tue Aug 20 2013 16:18:06 on localhost [Seed = 3221103483] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2333 geometric_solution 5.71976349 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0.249413200027 0.194755773986 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259861012888 1.750142204140 1 4 5 3 0132 0132 0132 1230 0 0 0 0 0 1 -1 0 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681519167567 1.137150462554 2 5 4 1 3012 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681519167567 1.137150462554 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434926465398 0.375111127245 6 6 3 2 0132 2310 2310 0132 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 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 0.198306454070 1.348099402967 5 6 6 5 0132 1230 3012 3201 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 0 0 0 -0.263483423049 0.475500707830 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 387710463628843390931/7306117077152242600*c_0101_4^14 - 3175298449811707247441/7306117077152242600*c_0101_4^13 - 264641904799869781401/365305853857612130*c_0101_4^12 - 64738922976706162571/3653058538576121300*c_0101_4^11 + 3099539874519479196349/1461223415430448520*c_0101_4^10 + 36229322704505327662317/3653058538576121300*c_0101_4^9 + 46898178697360192771019/7306117077152242600*c_0101_4^8 - 28903056698602645576533/1461223415430448520*c_0101_4^7 - 1389404017514692460817/7306117077152242600*c_0101_4^6 + 11567071518423738525546/913264634644030325*c_0101_4^5 - 11916627614945814715667/1826529269288060650*c_0101_4^4 - 12873780734916860420731/7306117077152242600*c_0101_4^3 + 905081740560128937197/292244683086089704*c_0101_4^2 - 1789360783686457084701/7306117077152242600*c_0101_4 - 398433899601973755313/1826529269288060650, c_0011_0 - 1, c_0011_1 + 178479833942502/1259675358129697*c_0101_4^14 + 1257335853010079/1259675358129697*c_0101_4^13 + 926611965803749/1259675358129697*c_0101_4^12 - 1515977620275258/1259675358129697*c_0101_4^11 - 5939964478387108/1259675358129697*c_0101_4^10 - 26315569011123279/1259675358129697*c_0101_4^9 + 10607314373661288/1259675358129697*c_0101_4^8 + 65215576228402695/1259675358129697*c_0101_4^7 - 74174152246380447/1259675358129697*c_0101_4^6 + 21116031706861342/1259675358129697*c_0101_4^5 + 23991068087046090/1259675358129697*c_0101_4^4 - 28360332501288034/1259675358129697*c_0101_4^3 + 12236572334766231/1259675358129697*c_0101_4^2 - 2859967065906982/1259675358129697*c_0101_4 - 704049432445204/1259675358129697, c_0011_3 + 236358612758187/1259675358129697*c_0101_4^14 + 1679214924542964/1259675358129697*c_0101_4^13 + 1268581710926823/1259675358129697*c_0101_4^12 - 2320369890986704/1259675358129697*c_0101_4^11 - 8066039656944150/1259675358129697*c_0101_4^10 - 34249707768942631/1259675358129697*c_0101_4^9 + 14384161830510183/1259675358129697*c_0101_4^8 + 95057884307593936/1259675358129697*c_0101_4^7 - 101845847994851580/1259675358129697*c_0101_4^6 - 7826794383416148/1259675358129697*c_0101_4^5 + 60876548672427802/1259675358129697*c_0101_4^4 - 34844977744264201/1259675358129697*c_0101_4^3 - 640393798609117/1259675358129697*c_0101_4^2 + 6405548186092199/1259675358129697*c_0101_4 - 560153364660212/1259675358129697, c_0011_5 + 410677347532152/1259675358129697*c_0101_4^14 + 3227368197277494/1259675358129697*c_0101_4^13 + 4546855554238298/1259675358129697*c_0101_4^12 - 1309746498673705/1259675358129697*c_0101_4^11 - 16000992892730475/1259675358129697*c_0101_4^10 - 71684235230020090/1259675358129697*c_0101_4^9 - 26313490597905582/1259675358129697*c_0101_4^8 + 160762010718651217/1259675358129697*c_0101_4^7 - 49443372222213807/1259675358129697*c_0101_4^6 - 76002487828865917/1259675358129697*c_0101_4^5 + 69248900833743167/1259675358129697*c_0101_4^4 - 11604424910226651/1259675358129697*c_0101_4^3 - 17581586545567081/1259675358129697*c_0101_4^2 + 6335241410305732/1259675358129697*c_0101_4 + 176998772627900/1259675358129697, c_0101_0 + 1088271519365833/25193507162593940*c_0101_3*c_0101_4^14 + 8140965143493653/25193507162593940*c_0101_3*c_0101_4^13 + 928103205418547/2519350716259394*c_0101_3*c_0101_4^12 - 1811555423987317/12596753581296970*c_0101_3*c_0101_4^11 - 6045807999348595/5038701432518788*c_0101_3*c_0101_4^10 - 42077797220525868/6298376790648485*c_0101_3*c_0101_4^9 - 19463735606807697/25193507162593940*c_0101_3*c_0101_4^8 + 68497043463295237/5038701432518788*c_0101_3*c_0101_4^7 - 448459458103918259/25193507162593940*c_0101_3*c_0101_4^6 + 2825338007978553/12596753581296970*c_0101_3*c_0101_4^5 + 122457186720559681/6298376790648485*c_0101_3*c_0101_4^4 - 319070170373022527/25193507162593940*c_0101_3*c_0101_4^3 - 3658354750021113/5038701432518788*c_0101_3*c_0101_4^2 + 114618518353025873/25193507162593940*c_0101_3*c_0101_4 - 24187677221217887/12596753581296970*c_0101_3, c_0101_3^2 - 170502818529937/1259675358129697*c_0101_4^14 - 1215146041506275/1259675358129697*c_0101_4^13 - 980538118447752/1259675358129697*c_0101_4^12 + 1377708713255474/1259675358129697*c_0101_4^11 + 5632321264584579/1259675358129697*c_0101_4^10 + 25242660756946452/1259675358129697*c_0101_4^9 - 8318115355908129/1259675358129697*c_0101_4^8 - 62929922708002821/1259675358129697*c_0101_4^7 + 70019506207106890/1259675358129697*c_0101_4^6 - 9384660860201784/1259675358129697*c_0101_4^5 - 31394489678310568/1259675358129697*c_0101_4^4 + 26157999382281387/1259675358129697*c_0101_4^3 - 7867718936829221/1259675358129697*c_0101_4^2 - 1417968768215212/1259675358129697*c_0101_4 + 178479833942502/1259675358129697, c_0101_4^15 + 8*c_0101_4^14 + 12*c_0101_4^13 - 3*c_0101_4^12 - 41*c_0101_4^11 - 179*c_0101_4^10 - 82*c_0101_4^9 + 412*c_0101_4^8 - 63*c_0101_4^7 - 274*c_0101_4^6 + 187*c_0101_4^5 + 17*c_0101_4^4 - 78*c_0101_4^3 + 21*c_0101_4^2 + 4*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB