Magma V2.19-8 Wed Aug 21 2013 00:58:22 on localhost [Seed = 3415069010] Type ? for help. Type -D to quit. Loading file "L13n5230__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5230 geometric_solution 11.48540626 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 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 1 0 -1 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 0 -0.003364517465 0.640684303225 0 4 5 5 0132 0132 2103 0132 1 0 1 1 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 0 -3 3 -1 0 -2 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554646373296 0.418248211113 6 0 8 7 0132 0132 0132 0132 1 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 -1 1 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 0.995932430872 0.915573067867 0 7 9 0 3120 2310 0132 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 0 0 -1 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 0.707982410383 0.452072212437 7 1 10 11 0132 0132 0132 0132 1 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 0.081181305601 1.104157326429 1 8 1 12 2103 0213 0132 0132 1 0 1 1 0 -1 1 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 3 -3 0 2 0 -3 1 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.149373312274 0.866720409443 2 10 11 11 0132 0213 2103 0213 1 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 1.123536786340 0.979443483950 4 10 2 3 0132 2031 0132 3201 1 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 1.407100538956 0.644995490280 11 12 5 2 1023 0132 0213 0132 1 1 1 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 4 -3 -1 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596554683983 0.560246766717 12 10 12 3 3120 3120 2103 0132 1 0 1 1 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 -1 1 -1 0 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423214012753 0.587698686441 7 9 6 4 1302 3120 0213 0132 1 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 -0.202197270347 0.959213737285 6 8 4 6 2103 1023 0132 0213 1 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 0.233689495357 0.879065555204 9 8 5 9 2103 0132 0132 3120 1 0 1 1 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 -4 0 4 1 0 -1 0 0 -1 0 1 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193109367965 1.120493533433 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0011_9']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_0'], '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_2_7' : negation(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' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_3']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : d['c_1010_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_3']), '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_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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_0101_2']), 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} 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_5, c_0011_9, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_4, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 691461113900979242407492333/80666492568962981180034023424*c_1010_6^\ 9 - 1194551282862109802247167975/80666492568962981180034023424*c_10\ 10_6^8 + 9864488810530271607093721235/40333246284481490590017011712\ *c_1010_6^7 - 24550855530042176362102806565/26888830856320993726678\ 007808*c_1010_6^6 + 24221646300654211695329145307/26888830856320993\ 726678007808*c_1010_6^5 - 1069936880544596839995978103589/806664925\ 68962981180034023424*c_1010_6^4 - 573079252638419714832384672409/40\ 333246284481490590017011712*c_1010_6^3 - 251113079222362827489288345767/5041655785560186323752126464*c_1010_\ 6^2 - 19921097529498309155071583525/775639351624644049808019456*c_1\ 010_6 - 479107491131623621103260833823/1008331157112037264750425292\ 8, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 13966497718941/111908518349739532*c_1010_6^9 - 36864236245883/111908518349739532*c_1010_6^8 + 89501074639625/27977129587434883*c_1010_6^7 - 1720091844533489/111908518349739532*c_1010_6^6 + 1407318244814513/111908518349739532*c_1010_6^5 - 17405102545842135/111908518349739532*c_1010_6^4 - 594957144206482/27977129587434883*c_1010_6^3 - 6979939670083681/55954259174869766*c_1010_6^2 + 20276214121818283/27977129587434883*c_1010_6 + 1816017348811605/27977129587434883, c_0011_3 - 32439662473595/671451110098437192*c_1010_6^9 + 38336141258581/671451110098437192*c_1010_6^8 - 394891573903423/335725555049218596*c_1010_6^7 + 895682758195651/223817036699479064*c_1010_6^6 + 905118432562951/223817036699479064*c_1010_6^5 + 37026597795829111/671451110098437192*c_1010_6^4 + 58648972151089997/335725555049218596*c_1010_6^3 - 4633527862741021/83931388762304649*c_1010_6^2 - 6314088108996017/83931388762304649*c_1010_6 + 2733576516566468/83931388762304649, c_0011_5 - 32551943308235/83931388762304649*c_1010_6^9 + 123047533797193/83931388762304649*c_1010_6^8 - 2038742126499151/167862777524609298*c_1010_6^7 + 3388661264481791/55954259174869766*c_1010_6^6 - 3240338126517392/27977129587434883*c_1010_6^5 + 97445350699838699/167862777524609298*c_1010_6^4 - 43212084079647937/167862777524609298*c_1010_6^3 + 57786834200869763/167862777524609298*c_1010_6^2 + 1011799054852595/83931388762304649*c_1010_6 + 28897978550998267/83931388762304649, c_0011_9 + 88308280076117/671451110098437192*c_1010_6^9 - 381597426451123/671451110098437192*c_1010_6^8 + 1501735678661401/335725555049218596*c_1010_6^7 - 5057230684430093/223817036699479064*c_1010_6^6 + 11554034261255055/223817036699479064*c_1010_6^5 - 142675393762150993/671451110098437192*c_1010_6^4 + 46781826944886829/335725555049218596*c_1010_6^3 - 9211753797654680/83931388762304649*c_1010_6^2 - 30920220710153722/83931388762304649*c_1010_6 - 17173015298716541/83931388762304649, c_0101_0 - 1, c_0101_11 - 9279972586927/55954259174869766*c_1010_6^9 + 5275761949618/27977129587434883*c_1010_6^8 - 209086256439415/55954259174869766*c_1010_6^7 + 815977243830859/55954259174869766*c_1010_6^6 + 351883183594879/27977129587434883*c_1010_6^5 + 4622509695899535/27977129587434883*c_1010_6^4 + 22119779689787591/55954259174869766*c_1010_6^3 - 4635817170396707/27977129587434883*c_1010_6^2 - 6853892979744424/27977129587434883*c_1010_6 - 21057238843735375/27977129587434883, c_0101_12 + 172107266389763/671451110098437192*c_1010_6^9 - 602782843926421/671451110098437192*c_1010_6^8 + 2575748574336901/335725555049218596*c_1010_6^7 - 8497414373497071/223817036699479064*c_1010_6^6 + 14368670750884081/223817036699479064*c_1010_6^5 - 247106009037203803/671451110098437192*c_1010_6^4 + 39642341214409045/335725555049218596*c_1010_6^3 - 39363326605560403/167862777524609298*c_1010_6^2 + 29908421655301127/83931388762304649*c_1010_6 - 11724963252281726/83931388762304649, c_0101_2 + 2581497138782/83931388762304649*c_1010_6^9 + 22346515740905/335725555049218596*c_1010_6^8 + 60736396281107/335725555049218596*c_1010_6^7 + 97908892146661/27977129587434883*c_1010_6^6 - 3156452173825793/111908518349739532*c_1010_6^5 + 14264216447125859/335725555049218596*c_1010_6^4 - 152071601457833527/335725555049218596*c_1010_6^3 + 658739748211826/83931388762304649*c_1010_6^2 - 17385278480450678/83931388762304649*c_1010_6 + 54362478596775440/83931388762304649, c_0101_3 + 1, c_0101_4 + 32439662473595/671451110098437192*c_1010_6^9 - 38336141258581/671451110098437192*c_1010_6^8 + 394891573903423/335725555049218596*c_1010_6^7 - 895682758195651/223817036699479064*c_1010_6^6 - 905118432562951/223817036699479064*c_1010_6^5 - 37026597795829111/671451110098437192*c_1010_6^4 - 58648972151089997/335725555049218596*c_1010_6^3 + 4633527862741021/83931388762304649*c_1010_6^2 + 6314088108996017/83931388762304649*c_1010_6 + 81197812245738181/83931388762304649, c_1010_6^10 - 3*c_1010_6^9 + 30*c_1010_6^8 - 139*c_1010_6^7 + 213*c_1010_6^6 - 1529*c_1010_6^5 - 90*c_1010_6^4 - 2160*c_1010_6^3 + 2008*c_1010_6^2 + 296*c_1010_6 + 4352 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB