Magma V2.19-8 Wed Aug 21 2013 01:04:18 on localhost [Seed = 374345310] Type ? for help. Type -D to quit. Loading file "L14n24027__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24027 geometric_solution 12.23532914 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 1 -1 -2 0 2 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 0.622995377673 0.550893742915 0 5 6 4 0132 0132 0132 0213 1 0 0 1 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 2 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 0.626435508396 0.624997820376 7 0 5 8 0132 0132 0132 0132 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690188255959 1.550557595698 9 9 10 0 0132 0321 0132 0132 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 0 0 0 0 0 1 0 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658122423144 0.506656734048 9 11 0 1 2310 0132 0132 0213 1 0 0 1 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 -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 0.099206288221 0.796541414688 6 1 12 2 2031 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0.205448167889 0.985585912368 7 11 5 1 1302 0321 1302 0132 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 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 0.205448167889 0.985585912368 2 6 8 12 0132 2031 0132 0132 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 -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 0.205448167889 0.985585912368 10 9 2 7 0321 0132 0132 0132 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 -1 0 0 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 0.045959037561 0.734470155065 3 8 4 3 0132 0132 3201 0321 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 -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 0.915135621497 1.356215372363 8 11 12 3 0321 2031 0213 0132 1 0 0 1 0 0 0 0 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 1 0 1 -2 0 0 0 0 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658122423144 0.506656734048 10 4 12 6 1302 0132 1302 0321 1 1 1 0 0 0 0 0 1 0 -1 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 1 -1 0 4 0 -4 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 0.123914181054 0.620170404585 11 10 7 5 2031 0213 0132 0132 1 1 0 1 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 1 0 -1 0 1 -1 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495760714282 0.614956452373 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_0011_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_12'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1100_12'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1100_12'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0101_1']), 'c_1100_8' : d['c_1100_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_12'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : d['c_0101_5'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_5, c_1001_0, c_1001_1, c_1001_5, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2352697/3999744*c_1100_12^3 + 128669725/666624*c_1100_12^2 - 288047723/999936*c_1100_12 - 19176281/499968, c_0011_0 - 1, c_0011_10 + 49/17856*c_1100_12^3 + 447/496*c_1100_12^2 - 4793/4464*c_1100_12 + 95/279, c_0011_11 + 1, c_0011_3 - 29/17856*c_1100_12^3 - 531/992*c_1100_12^2 + 115/4464*c_1100_12 + 1321/2232, c_0011_6 + 29/8928*c_1100_12^3 + 531/496*c_1100_12^2 + 1001/2232*c_1100_12 - 205/1116, c_0101_0 - 1, c_0101_1 + 25/5952*c_1100_12^3 + 1369/992*c_1100_12^2 - 2267/1488*c_1100_12 + 67/744, c_0101_12 + 1/2976*c_1100_12^3 + 7/62*c_1100_12^2 + 259/744*c_1100_12 + 59/186, c_0101_5 + 49/17856*c_1100_12^3 + 447/496*c_1100_12^2 - 4793/4464*c_1100_12 - 184/279, c_1001_0 - 49/17856*c_1100_12^3 - 447/496*c_1100_12^2 + 4793/4464*c_1100_12 + 184/279, c_1001_1 - 29/8928*c_1100_12^3 - 531/496*c_1100_12^2 + 1231/2232*c_1100_12 + 205/1116, c_1001_5 - 1/1984*c_1100_12^3 - 21/124*c_1100_12^2 - 507/496*c_1100_12 + 65/124, c_1100_12^4 + 328*c_1100_12^3 - 536*c_1100_12^2 + 96*c_1100_12 - 112 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_5, c_1001_0, c_1001_1, c_1001_5, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 31505678497030931/3483747844980736*c_1100_12^11 + 28818314785715387/3483747844980736*c_1100_12^10 - 580511753595133137/3483747844980736*c_1100_12^9 + 54339168529851501/435468480622592*c_1100_12^8 - 305025369718371625/435468480622592*c_1100_12^7 + 2212172351119654709/3483747844980736*c_1100_12^6 - 1983887306156747905/1741873922490368*c_1100_12^5 + 3921119038262979115/3483747844980736*c_1100_12^4 - 335238280534475775/435468480622592*c_1100_12^3 - 289690074949500287/435468480622592*c_1100_12^2 - 149362127699838343/217734240311296*c_1100_12 - 192514039738866021/870936961245184, c_0011_0 - 1, c_0011_10 + 28158843001/425262188108*c_1100_12^11 - 28466738627/425262188108*c_1100_12^10 + 527966162213/425262188108*c_1100_12^9 - 222426104461/212631094054*c_1100_12^8 + 585658402844/106315547027*c_1100_12^7 - 2283748176595/425262188108*c_1100_12^6 + 1067312326581/106315547027*c_1100_12^5 - 4314958717553/425262188108*c_1100_12^4 + 1753519652655/212631094054*c_1100_12^3 + 257315940932/106315547027*c_1100_12^2 + 596966008467/106315547027*c_1100_12 + 286470557422/106315547027, c_0011_11 - 15540895687/425262188108*c_1100_12^11 + 26642293341/425262188108*c_1100_12^10 - 307828007165/425262188108*c_1100_12^9 + 114842119907/106315547027*c_1100_12^8 - 781568883409/212631094054*c_1100_12^7 + 2308699675417/425262188108*c_1100_12^6 - 907502081538/106315547027*c_1100_12^5 + 4632736805657/425262188108*c_1100_12^4 - 2192937298883/212631094054*c_1100_12^3 + 976914207101/212631094054*c_1100_12^2 - 384976004590/106315547027*c_1100_12 + 86585560813/106315547027, c_0011_3 - 16705869783/212631094054*c_1100_12^11 + 29365535045/425262188108*c_1100_12^10 - 153732013980/106315547027*c_1100_12^9 + 219059754311/212631094054*c_1100_12^8 - 2573355081401/425262188108*c_1100_12^7 + 1113365718739/212631094054*c_1100_12^6 - 4064556288831/425262188108*c_1100_12^5 + 3798821933489/425262188108*c_1100_12^4 - 2396337238711/425262188108*c_1100_12^3 - 3094069988903/425262188108*c_1100_12^2 - 1016691493493/212631094054*c_1100_12 - 902500607399/212631094054, c_0011_6 - c_1100_12, c_0101_0 - 1, c_0101_1 - 664747938/106315547027*c_1100_12^11 + 6983815005/425262188108*c_1100_12^10 - 58868851865/425262188108*c_1100_12^9 + 130238754853/425262188108*c_1100_12^8 - 186819534399/212631094054*c_1100_12^7 + 344789067533/212631094054*c_1100_12^6 - 1080156861475/425262188108*c_1100_12^5 + 747964293987/212631094054*c_1100_12^4 - 1560735528495/425262188108*c_1100_12^3 + 250266556599/106315547027*c_1100_12^2 - 234427828637/212631094054*c_1100_12 + 10471054943/106315547027, c_0101_12 + 5579367522/106315547027*c_1100_12^11 - 7711318469/106315547027*c_1100_12^10 + 107711817245/106315547027*c_1100_12^9 - 128814907842/106315547027*c_1100_12^8 + 515383416206/106315547027*c_1100_12^7 - 654274963851/106315547027*c_1100_12^6 + 1095916078965/106315547027*c_1100_12^5 - 1297665195592/106315547027*c_1100_12^4 + 1257367772783/106315547027*c_1100_12^3 - 292470652162/106315547027*c_1100_12^2 + 657579385032/106315547027*c_1100_12 - 89845876360/106315547027, c_0101_5 + 1, c_1001_0 + 15540895687/425262188108*c_1100_12^11 - 26642293341/425262188108*c_1100_12^10 + 307828007165/425262188108*c_1100_12^9 - 114842119907/106315547027*c_1100_12^8 + 781568883409/212631094054*c_1100_12^7 - 2308699675417/425262188108*c_1100_12^6 + 907502081538/106315547027*c_1100_12^5 - 4632736805657/425262188108*c_1100_12^4 + 2192937298883/212631094054*c_1100_12^3 - 976914207101/212631094054*c_1100_12^2 + 384976004590/106315547027*c_1100_12 - 86585560813/106315547027, c_1001_1 - 153947813/212631094054*c_1100_12^11 - 3525927403/212631094054*c_1100_12^10 + 2844639547/212631094054*c_1100_12^9 - 33836143178/106315547027*c_1100_12^8 + 41517791123/106315547027*c_1100_12^7 - 315194687925/212631094054*c_1100_12^6 + 223606809408/106315547027*c_1100_12^5 - 724458531433/212631094054*c_1100_12^4 + 426268998938/106315547027*c_1100_12^3 - 416752339569/106315547027*c_1100_12^2 + 89358656415/106315547027*c_1100_12 - 225270744008/106315547027, c_1001_5 - 664747938/106315547027*c_1100_12^11 + 6983815005/425262188108*c_1100_12^10 - 58868851865/425262188108*c_1100_12^9 + 130238754853/425262188108*c_1100_12^8 - 186819534399/212631094054*c_1100_12^7 + 344789067533/212631094054*c_1100_12^6 - 1080156861475/425262188108*c_1100_12^5 + 747964293987/212631094054*c_1100_12^4 - 1560735528495/425262188108*c_1100_12^3 + 250266556599/106315547027*c_1100_12^2 - 234427828637/212631094054*c_1100_12 + 10471054943/106315547027, c_1100_12^12 - c_1100_12^11 + 19*c_1100_12^10 - 16*c_1100_12^9 + 88*c_1100_12^8 - 87*c_1100_12^7 + 174*c_1100_12^6 - 185*c_1100_12^5 + 176*c_1100_12^4 - 24*c_1100_12^3 + 144*c_1100_12^2 + 28*c_1100_12 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB