Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 812756196] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1227 geometric_solution 5.12424359 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 1 -1 0 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 -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 1.102175504046 1.161401938431 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069784079090 0.516941854472 4 4 0 5 3012 1023 0132 3012 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 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 0.416634860370 0.538947797295 5 1 6 6 1230 0132 0132 2310 0 0 0 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 0 0 0 1 0 -1 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 0.865966268224 1.768058218700 2 5 1 2 1023 2031 0132 1230 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 -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 -0.679135783347 0.492480151495 4 3 2 1 1302 3012 1230 0132 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 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.294565245123 1.471698194383 3 6 6 3 3201 3201 2310 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 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 -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 -0.604715395350 0.377172397085 ==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' : negation(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' : negation(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' : d['c_0011_6'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : 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_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 8984486744217857227/2831396877229218768*c_0110_2^13 - 70976980304128181065/1415698438614609384*c_0110_2^12 + 379088049166931826155/1415698438614609384*c_0110_2^11 - 1587367052772470536117/2831396877229218768*c_0110_2^10 + 611840988298520748707/943798959076406256*c_0110_2^9 - 4002703441975911787027/2831396877229218768*c_0110_2^8 + 2431136760312560436601/2831396877229218768*c_0110_2^7 - 253902168918337041407/707849219307304692*c_0110_2^6 + 276915239775160033189/707849219307304692*c_0110_2^5 + 278148475095578962645/1415698438614609384*c_0110_2^4 - 29203905464936210972/176962304826826173*c_0110_2^3 + 6041977766909917087/23019486806741616*c_0110_2^2 - 7126436772242480083/117974869884550782*c_0110_2 + 36306397057921394669/2831396877229218768, c_0011_0 - 1, c_0011_2 - 38031325197311/6554159438030599*c_0110_2^13 + 804526956376814/6554159438030599*c_0110_2^12 - 6186620038383357/6554159438030599*c_0110_2^11 + 20205524278692652/6554159438030599*c_0110_2^10 - 24968305161544456/6554159438030599*c_0110_2^9 + 23658060181367792/6554159438030599*c_0110_2^8 - 65678565864973706/6554159438030599*c_0110_2^7 - 35690828941246487/6554159438030599*c_0110_2^6 + 5590025421081813/6554159438030599*c_0110_2^5 + 1325721832968447/6554159438030599*c_0110_2^4 + 46316609115514383/6554159438030599*c_0110_2^3 + 35234426143222/159857547269039*c_0110_2^2 + 8366474507944018/6554159438030599*c_0110_2 + 8846453460274097/6554159438030599, c_0011_5 + 514366615948433/6554159438030599*c_0110_2^13 - 8047544005509500/6554159438030599*c_0110_2^12 + 42108942162034585/6554159438030599*c_0110_2^11 - 83488533809764778/6554159438030599*c_0110_2^10 + 87260155757882773/6554159438030599*c_0110_2^9 - 204839469341968626/6554159438030599*c_0110_2^8 + 96219231966528218/6554159438030599*c_0110_2^7 - 21673787748951073/6554159438030599*c_0110_2^6 + 43386212390157868/6554159438030599*c_0110_2^5 + 30002332850691963/6554159438030599*c_0110_2^4 - 21662158777924614/6554159438030599*c_0110_2^3 + 739995639999119/159857547269039*c_0110_2^2 + 3956645926563856/6554159438030599*c_0110_2 - 5565301993139877/6554159438030599, c_0011_6 - 879593162765594/19662478314091797*c_0110_2^13 + 13243144257382222/19662478314091797*c_0110_2^12 - 64353919651178021/19662478314091797*c_0110_2^11 + 107561427931616942/19662478314091797*c_0110_2^10 - 34533101364438597/6554159438030599*c_0110_2^9 + 341423828530124615/19662478314091797*c_0110_2^8 - 42912959836313216/19662478314091797*c_0110_2^7 + 130361669047103794/19662478314091797*c_0110_2^6 - 169946330711133869/19662478314091797*c_0110_2^5 - 66683432937940549/19662478314091797*c_0110_2^4 - 57643325097153350/19662478314091797*c_0110_2^3 - 154840895714363/159857547269039*c_0110_2^2 - 3061503831731111/6554159438030599*c_0110_2 - 11816910683202574/19662478314091797, c_0101_0 - 1272520708500/6554159438030599*c_0110_2^13 - 43286772743845/6554159438030599*c_0110_2^12 + 622845840847265/6554159438030599*c_0110_2^11 - 918332237621388/6554159438030599*c_0110_2^10 - 10718012859606481/6554159438030599*c_0110_2^9 + 29348413866167733/6554159438030599*c_0110_2^8 - 16498826219859138/6554159438030599*c_0110_2^7 + 93525571210724081/6554159438030599*c_0110_2^6 - 35635692261917862/6554159438030599*c_0110_2^5 + 14230533351635630/6554159438030599*c_0110_2^4 - 33588135007744492/6554159438030599*c_0110_2^3 - 510679603154222/159857547269039*c_0110_2^2 + 2820087472238336/6554159438030599*c_0110_2 - 9861277516319995/6554159438030599, c_0101_3 + 368598955216739/19662478314091797*c_0110_2^13 - 4739788100376985/19662478314091797*c_0110_2^12 + 14056010001415838/19662478314091797*c_0110_2^11 + 25137424216696927/19662478314091797*c_0110_2^10 - 36661302665958686/6554159438030599*c_0110_2^9 + 45622408671254455/19662478314091797*c_0110_2^8 - 372714541383281215/19662478314091797*c_0110_2^7 + 224915721911627441/19662478314091797*c_0110_2^6 - 71959365840831586/19662478314091797*c_0110_2^5 + 169829307302124964/19662478314091797*c_0110_2^4 + 29923554570002636/19662478314091797*c_0110_2^3 - 122673738600143/159857547269039*c_0110_2^2 + 12971708966952224/6554159438030599*c_0110_2 - 13535754548673767/19662478314091797, c_0110_2^14 - 15*c_0110_2^13 + 72*c_0110_2^12 - 113*c_0110_2^11 + 82*c_0110_2^10 - 316*c_0110_2^9 - 52*c_0110_2^8 + 9*c_0110_2^7 + 48*c_0110_2^6 + 130*c_0110_2^5 + 2*c_0110_2^4 + 47*c_0110_2^3 + 33*c_0110_2^2 - c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB