Magma V2.19-8 Wed Aug 21 2013 01:05:20 on localhost [Seed = 2345505538] Type ? for help. Type -D to quit. Loading file "L14n25786__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25786 geometric_solution 11.55561594 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 -1 1 0 0 0 -1 1 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480197692013 0.949160437416 0 5 6 3 0132 0132 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 1 0 -1 0 0 0 0 2 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884971184844 1.084488393648 7 0 5 8 0132 0132 1230 0132 1 1 0 1 0 0 0 0 -1 0 1 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 1 0 -1 1 0 -1 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341791870208 0.870054463479 7 9 1 0 2103 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 1 -1 -1 0 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 -0.205236766225 0.690086497736 8 10 0 11 3012 0132 0132 0132 1 1 1 1 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 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 1.326956246098 0.806121268313 11 1 9 2 0132 0132 1023 3012 1 1 1 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 -1 0 1 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 0.247025356522 0.738991366086 8 10 11 1 1023 2031 0132 0132 1 1 1 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 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227054365218 0.538672336162 2 12 3 8 0132 0132 2103 3120 0 1 1 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 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 0.689863436344 0.471298685632 7 6 2 4 3120 1023 0132 1230 1 1 1 0 0 0 0 0 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.489895268401 0.875932535338 12 3 5 10 3120 0132 1023 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151944536301 1.123960576892 6 4 12 9 1302 0132 1023 0213 1 0 1 1 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 -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 0.654547251315 0.407202426023 5 12 4 6 0132 1023 0132 0132 1 1 0 1 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 0.774928903647 0.675190525298 11 7 10 9 1023 0132 1023 3120 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924490569513 0.546217967462 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : 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_1001_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_9']), 's_1_7' : negation(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' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : d['c_0101_5'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), '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' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0101_9, c_0110_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3128452354754047/4566622282859*c_1100_0^13 + 143629107799607189/18266489131436*c_1100_0^12 + 731848161624617099/18266489131436*c_1100_0^11 + 2289325984068936387/18266489131436*c_1100_0^10 + 5048370125306289003/18266489131436*c_1100_0^9 + 4472460457925994167/9133244565718*c_1100_0^8 + 3158597646247460124/4566622282859*c_1100_0^7 + 3731025310741312513/4566622282859*c_1100_0^6 + 3729442396940626582/4566622282859*c_1100_0^5 + 6119003641370007933/9133244565718*c_1100_0^4 + 165719695585019924/351278637143*c_1100_0^3 + 4746987135635211213/18266489131436*c_1100_0^2 + 142548196354600479/1304749223674*c_1100_0 + 169857925734246695/4566622282859, c_0011_0 - 1, c_0011_10 - 2755189668/50182662449*c_1100_0^13 - 24316623053/50182662449*c_1100_0^12 - 91590616947/50182662449*c_1100_0^11 - 226285810419/50182662449*c_1100_0^10 - 453046379596/50182662449*c_1100_0^9 - 886202468401/50182662449*c_1100_0^8 - 1129498439726/50182662449*c_1100_0^7 - 1588796244941/50182662449*c_1100_0^6 - 1322401360950/50182662449*c_1100_0^5 - 1058284457994/50182662449*c_1100_0^4 - 615269831708/50182662449*c_1100_0^3 + 46339526572/50182662449*c_1100_0^2 - 53781871762/50182662449*c_1100_0 + 235717224157/50182662449, c_0011_3 - 4528214064/50182662449*c_1100_0^13 - 57219700894/50182662449*c_1100_0^12 - 312712097833/50182662449*c_1100_0^11 - 993159464470/50182662449*c_1100_0^10 - 2082835085481/50182662449*c_1100_0^9 - 3312930318364/50182662449*c_1100_0^8 - 4344305492442/50182662449*c_1100_0^7 - 4507947011845/50182662449*c_1100_0^6 - 3788596271122/50182662449*c_1100_0^5 - 2753906936685/50182662449*c_1100_0^4 - 1045162070064/50182662449*c_1100_0^3 - 195674079444/50182662449*c_1100_0^2 + 62838325843/50182662449*c_1100_0 + 418181487034/50182662449, c_0011_6 + 2845514396/50182662449*c_1100_0^13 + 14534861305/50182662449*c_1100_0^12 - 22606349302/50182662449*c_1100_0^11 - 323931064153/50182662449*c_1100_0^10 - 1090607213328/50182662449*c_1100_0^9 - 2008159387678/50182662449*c_1100_0^8 - 3198198736795/50182662449*c_1100_0^7 - 3346843781049/50182662449*c_1100_0^6 - 2933922731067/50182662449*c_1100_0^5 - 1991290144699/50182662449*c_1100_0^4 - 536515587455/50182662449*c_1100_0^3 - 153257226472/50182662449*c_1100_0^2 + 318817999503/50182662449*c_1100_0 + 182852214557/50182662449, c_0101_0 + 5577183491/50182662449*c_1100_0^13 + 56907018869/50182662449*c_1100_0^12 + 249631678243/50182662449*c_1100_0^11 + 664067547177/50182662449*c_1100_0^10 + 1256463456572/50182662449*c_1100_0^9 + 2055925801014/50182662449*c_1100_0^8 + 2461317556159/50182662449*c_1100_0^7 + 2476214572259/50182662449*c_1100_0^6 + 1973025864016/50182662449*c_1100_0^5 + 997617802197/50182662449*c_1100_0^4 + 390642007011/50182662449*c_1100_0^3 - 73718860843/50182662449*c_1100_0^2 - 168140704250/50182662449*c_1100_0 - 69935187055/50182662449, c_0101_1 - 1, c_0101_11 + 7840063024/50182662449*c_1100_0^13 + 82789413231/50182662449*c_1100_0^12 + 374994248982/50182662449*c_1100_0^11 + 1000342182750/50182662449*c_1100_0^10 + 1777424689243/50182662449*c_1100_0^9 + 2531727047820/50182662449*c_1100_0^8 + 2609074852124/50182662449*c_1100_0^7 + 2230835509991/50182662449*c_1100_0^6 + 1402414658171/50182662449*c_1100_0^5 + 552874053248/50182662449*c_1100_0^4 + 123006538810/50182662449*c_1100_0^3 - 165726569348/50182662449*c_1100_0^2 - 57424134347/50182662449*c_1100_0 - 22542881978/50182662449, c_0101_12 - 6740652114/50182662449*c_1100_0^13 - 75967969729/50182662449*c_1100_0^12 - 378677657071/50182662449*c_1100_0^11 - 1149085547433/50182662449*c_1100_0^10 - 2406623429024/50182662449*c_1100_0^9 - 3946115310350/50182662449*c_1100_0^8 - 4891971357526/50182662449*c_1100_0^7 - 4856166357100/50182662449*c_1100_0^6 - 3627816523038/50182662449*c_1100_0^5 - 1943061085568/50182662449*c_1100_0^4 - 510225009489/50182662449*c_1100_0^3 + 217686557826/50182662449*c_1100_0^2 + 309794213496/50182662449*c_1100_0 + 148562565786/50182662449, c_0101_5 - 271679918/50182662449*c_1100_0^13 + 3531014758/50182662449*c_1100_0^12 + 53680932686/50182662449*c_1100_0^11 + 256726340192/50182662449*c_1100_0^10 + 665543065647/50182662449*c_1100_0^9 + 1086731910741/50182662449*c_1100_0^8 + 1481131172781/50182662449*c_1100_0^7 + 1479491506644/50182662449*c_1100_0^6 + 1147513659398/50182662449*c_1100_0^5 + 792625045270/50182662449*c_1100_0^4 + 221266987139/50182662449*c_1100_0^3 - 6210914480/50182662449*c_1100_0^2 - 16495351997/50182662449*c_1100_0 - 77364727373/50182662449, c_0101_9 - 3244284294/50182662449*c_1100_0^13 - 35519713558/50182662449*c_1100_0^12 - 173680548972/50182662449*c_1100_0^11 - 523224317592/50182662449*c_1100_0^10 - 1084075892041/50182662449*c_1100_0^9 - 1734613331649/50182662449*c_1100_0^8 - 2030649991973/50182662449*c_1100_0^7 - 2050689623474/50182662449*c_1100_0^6 - 1443529317167/50182662449*c_1100_0^5 - 804471830263/50182662449*c_1100_0^4 - 320022457507/50182662449*c_1100_0^3 + 154656855217/50182662449*c_1100_0^2 + 64902199755/50182662449*c_1100_0 + 93038761831/50182662449, c_0110_10 - 8654054109/50182662449*c_1100_0^13 - 94160213817/50182662449*c_1100_0^12 - 443672479237/50182662449*c_1100_0^11 - 1246173919906/50182662449*c_1100_0^10 - 2381636278794/50182662449*c_1100_0^9 - 3654007216244/50182662449*c_1100_0^8 - 4239215322866/50182662449*c_1100_0^7 - 3952488682032/50182662449*c_1100_0^6 - 2897359019494/50182662449*c_1100_0^5 - 1405125260993/50182662449*c_1100_0^4 - 393793394601/50182662449*c_1100_0^3 + 221903661347/50182662449*c_1100_0^2 + 254707411368/50182662449*c_1100_0 + 128805219691/50182662449, c_1001_2 + 12356870712/50182662449*c_1100_0^13 + 130245829562/50182662449*c_1100_0^12 + 594319538485/50182662449*c_1100_0^11 + 1626875642724/50182662449*c_1100_0^10 + 3044173797422/50182662449*c_1100_0^9 + 4613823819548/50182662449*c_1100_0^8 + 5068472174561/50182662449*c_1100_0^7 + 4640041874276/50182662449*c_1100_0^6 + 3122816408591/50182662449*c_1100_0^5 + 1350230686085/50182662449*c_1100_0^4 + 354168095482/50182662449*c_1100_0^3 - 334221382529/50182662449*c_1100_0^2 - 194060160586/50182662449*c_1100_0 - 96401435519/50182662449, c_1100_0^14 + 11*c_1100_0^13 + 53*c_1100_0^12 + 155*c_1100_0^11 + 316*c_1100_0^10 + 522*c_1100_0^9 + 668*c_1100_0^8 + 710*c_1100_0^7 + 622*c_1100_0^6 + 408*c_1100_0^5 + 221*c_1100_0^4 + 50*c_1100_0^3 - 22*c_1100_0^2 - 22*c_1100_0 - 26 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB