Magma V2.19-8 Tue Aug 20 2013 16:18:27 on localhost [Seed = 3532869606] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2645 geometric_solution 5.91777037 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 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 1 -2 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 0.340875939105 0.502610125710 0 3 0 4 0132 2031 0213 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 -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 0 0 0 0 0.437535558624 0.534096136474 3 4 5 0 1023 3120 0132 0132 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 0 1 -1 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 0.808758383081 0.837422774232 1 2 0 4 1302 1023 0132 1230 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 2 -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 1.403291973200 0.617856830498 3 2 1 5 3012 3120 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.259187571769 1.134949488998 4 6 6 2 3012 0132 1023 0132 0 0 0 0 0 1 0 -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 1 0 -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 0.204639298259 0.453239185224 6 5 5 6 3201 0132 1023 2310 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 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 1.573153507768 0.853898435363 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : 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_5'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_6'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_2']})} 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_4, c_0011_5, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 74088356869789039/141631277540485*c_0101_0*c_0101_6^12 - 6754849504589917/56652511016194*c_0101_0*c_0101_6^11 + 2401210219897709/56652511016194*c_0101_0*c_0101_6^10 - 371342116830047573/113305022032388*c_0101_0*c_0101_6^9 + 1365451252256913911/453220088129552*c_0101_0*c_0101_6^8 + 20751296954523349923/4532200881295520*c_0101_0*c_0101_6^7 - 5224562859252839889/1812880352518208*c_0101_0*c_0101_6^6 - 466673024775855453/1133050220323880*c_0101_0*c_0101_6^5 - 1482161879973659717/4532200881295520*c_0101_0*c_0101_6^4 - 104446991450092381/9064401762591040*c_0101_0*c_0101_6^3 + 87150936974525789/4532200881295520*c_0101_0*c_0101_6^2 - 391119945204010147/9064401762591040*c_0101_0*c_0101_6 - 266264924869100343/9064401762591040*c_0101_0, c_0011_0 - 1, c_0011_2 - 71726459133632/28326255508097*c_0101_6^12 + 75883204496608/28326255508097*c_0101_6^11 + 19889069980064/28326255508097*c_0101_6^10 - 453259717257072/28326255508097*c_0101_6^9 + 1003906762777788/28326255508097*c_0101_6^8 + 70341992783030/28326255508097*c_0101_6^7 - 1115197015522945/28326255508097*c_0101_6^6 + 566767999154524/28326255508097*c_0101_6^5 - 7847627239637/28326255508097*c_0101_6^4 - 15690147362761/28326255508097*c_0101_6^3 - 43070957739267/28326255508097*c_0101_6^2 + 7329712078572/28326255508097*c_0101_6 - 12292645606769/28326255508097, c_0011_4 - 824787046024288/28326255508097*c_0101_0*c_0101_6^12 - 205302422638704/28326255508097*c_0101_0*c_0101_6^11 + 68517095252064/28326255508097*c_0101_0*c_0101_6^10 - 5149918887539576/28326255508097*c_0101_0*c_0101_6^9 + 4680963965977702/28326255508097*c_0101_0*c_0101_6^8 + 7388543054595657/28326255508097*c_0101_0*c_0101_6^7 - 8609010948875399/56652511016194*c_0101_0*c_0101_6^6 - 1253293239988311/56652511016194*c_0101_0*c_0101_6^5 - 642399340919927/28326255508097*c_0101_0*c_0101_6^4 - 244881165718136/28326255508097*c_0101_0*c_0101_6^3 + 61552307013191/56652511016194*c_0101_0*c_0101_6^2 - 84869992024551/28326255508097*c_0101_0*c_0101_6 - 103076105063797/56652511016194*c_0101_0, c_0011_5 - 253161036773344/28326255508097*c_0101_0*c_0101_6^12 - 95362920516400/28326255508097*c_0101_0*c_0101_6^11 + 65341230220128/28326255508097*c_0101_0*c_0101_6^10 - 1556659998286040/28326255508097*c_0101_0*c_0101_6^9 + 1242207473049086/28326255508097*c_0101_0*c_0101_6^8 + 2788361020280477/28326255508097*c_0101_0*c_0101_6^7 - 2520776657527939/56652511016194*c_0101_0*c_0101_6^6 - 1606609220259923/56652511016194*c_0101_0*c_0101_6^5 - 10761619832975/28326255508097*c_0101_0*c_0101_6^4 - 47667314328111/28326255508097*c_0101_0*c_0101_6^3 + 44738492969291/56652511016194*c_0101_0*c_0101_6^2 - 44911196208771/28326255508097*c_0101_0*c_0101_6 - 44228603560333/56652511016194*c_0101_0, c_0101_0^2 - 418957895409216/28326255508097*c_0101_6^12 - 28923264401888/28326255508097*c_0101_6^11 + 31041971465760/28326255508097*c_0101_6^10 - 2677051988134160/28326255508097*c_0101_6^9 + 2825422059334484/28326255508097*c_0101_6^8 + 3158779759069930/28326255508097*c_0101_6^7 - 3075180470488967/28326255508097*c_0101_6^6 + 442769529346338/28326255508097*c_0101_6^5 - 71861752383471/28326255508097*c_0101_6^4 - 277595259669740/28326255508097*c_0101_6^3 + 97030310338357/28326255508097*c_0101_6^2 - 11852865450016/28326255508097*c_0101_6 - 42325709199639/28326255508097, c_0101_2 + 571626009250944/28326255508097*c_0101_6^12 + 109939502122304/28326255508097*c_0101_6^11 - 3175865031936/28326255508097*c_0101_6^10 + 3593258889253536/28326255508097*c_0101_6^9 - 3438756492928616/28326255508097*c_0101_6^8 - 4600182034315180/28326255508097*c_0101_6^7 + 3044117145673730/28326255508097*c_0101_6^6 - 176657990135806/28326255508097*c_0101_6^5 + 631637721086952/28326255508097*c_0101_6^4 + 197213851390025/28326255508097*c_0101_6^3 - 8406907021950/28326255508097*c_0101_6^2 + 39958795815780/28326255508097*c_0101_6 + 29423750751732/28326255508097, c_0101_6^13 + 1/2*c_0101_6^12 + 25/4*c_0101_6^10 - 65/16*c_0101_6^9 - 327/32*c_0101_6^8 + 193/64*c_0101_6^7 + 131/64*c_0101_6^6 + 27/32*c_0101_6^5 + 17/64*c_0101_6^4 + 5/64*c_0101_6^3 + 7/64*c_0101_6^2 + 3/32*c_0101_6 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB