Magma V2.19-8 Wed Aug 21 2013 01:06:05 on localhost [Seed = 2681833278] Type ? for help. Type -D to quit. Loading file "L14n31061__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31061 geometric_solution 11.10643905 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 2310 0 1 1 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 1 0 -1 15 0 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.175126598775 0.827760903045 0 4 5 2 0132 0132 0132 1302 1 1 0 1 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 0 0 0 0 0 0 0 0 15 -1 -14 -15 0 14 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 1.344497503195 0.380570355702 6 0 1 7 0132 0132 2031 0132 0 1 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 0 0 0 0 0 0 0 0 -1 0 1 -14 0 14 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 0.486751916296 0.428274908314 0 8 8 0 3201 0132 3201 0132 0 1 0 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 0 0 1 -1 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.615123757736 0.699132914380 5 1 9 6 2103 0132 0132 1023 1 1 1 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 -15 15 0 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.030936927269 0.767308983504 8 6 4 1 3120 2103 2103 0132 1 1 1 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 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375792772207 0.464586921649 2 5 10 4 0132 2103 0132 1023 1 1 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 0 0 14 0 -14 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 0.030936927269 0.767308983504 11 12 2 9 0132 0132 0132 2031 0 1 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 6 -1 -5 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 0.375792772207 0.464586921649 3 3 12 5 2310 0132 0132 3120 0 1 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 0 0 15 0 -15 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 0.374739082069 0.709374288888 10 7 11 4 0132 1302 0132 0132 1 1 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 0 0 0 0 0 15 -15 14 0 0 -14 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821219798274 1.201535313699 9 12 11 6 0132 1023 1023 0132 1 1 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 0 0 0 -14 0 0 14 0 0 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821219798274 1.201535313699 7 12 10 9 0132 1230 1023 0132 1 1 0 0 0 1 0 -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 15 0 -15 0 0 0 0 1 -1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229777027396 0.766906642871 10 7 11 8 1023 0132 3012 0132 0 1 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 0 0 0 0 0 0 0 0 -6 6 0 0 0 -15 15 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.030936927269 0.767308983504 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0011_5'], 's_0_10' : 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_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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_10'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_1100_10']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1100_10']), 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_5']), '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' : negation(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' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(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_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_5'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0011_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1001_4, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 259854833776475/400069219709952*c_1100_10^15 + 96446338654565/400069219709952*c_1100_10^14 + 105686875467649/50008652463744*c_1100_10^13 + 75677189970623/5556516940416*c_1100_10^12 + 689697581651557/30774555362304*c_1100_10^11 + 16353530193252721/400069219709952*c_1100_10^10 - 2529440074099403/400069219709952*c_1100_10^9 + 45867589719500701/400069219709952*c_1100_10^8 - 25506267522093493/133356406569984*c_1100_10^7 + 54324982794361099/133356406569984*c_1100_10^6 - 59564834113986109/100017304927488*c_1100_10^5 + 26742102830630021/33339101642496*c_1100_10^4 - 204181380718135/263030387712*c_1100_10^3 + 240418788788391817/400069219709952*c_1100_10^2 - 3165511810599727/10258185120768*c_1100_10 + 37377126453307631/400069219709952, c_0011_0 - 1, c_0011_10 + 180698155/16439399232*c_1100_10^15 + 17262511/8219699616*c_1100_10^14 + 212641645/5479799744*c_1100_10^13 + 12313363/2739899872*c_1100_10^12 + 1557903971/8219699616*c_1100_10^11 + 241952195/2054924904*c_1100_10^10 + 16583422997/16439399232*c_1100_10^9 - 4218464325/2739899872*c_1100_10^8 + 4839742729/1027462452*c_1100_10^7 - 35781900215/4109849808*c_1100_10^6 + 7957907375/513731226*c_1100_10^5 - 14578285153/684974968*c_1100_10^4 + 409297371055/16439399232*c_1100_10^3 - 179683786877/8219699616*c_1100_10^2 + 57582612017/4109849808*c_1100_10 - 7060911673/1369949936, c_0011_3 - 57257543125/131515193856*c_1100_10^15 - 169431759905/131515193856*c_1100_10^14 - 118510954283/32878798464*c_1100_10^13 - 54945792907/10959599488*c_1100_10^12 - 940197309685/131515193856*c_1100_10^11 - 337635821353/131515193856*c_1100_10^10 - 2387986993597/131515193856*c_1100_10^9 + 3122316553055/131515193856*c_1100_10^8 - 2856845280911/43838397952*c_1100_10^7 + 4518162595253/43838397952*c_1100_10^6 - 5058618863255/32878798464*c_1100_10^5 + 1916051279043/10959599488*c_1100_10^4 - 6940842350819/43838397952*c_1100_10^3 + 13680392649515/131515193856*c_1100_10^2 - 2042307747593/43838397952*c_1100_10 + 1500756392449/131515193856, c_0011_5 + 656984755/2054924904*c_1100_10^15 + 35224129277/32878798464*c_1100_10^14 + 102102009229/32878798464*c_1100_10^13 + 54941646415/10959599488*c_1100_10^12 + 247032958381/32878798464*c_1100_10^11 + 84929382887/16439399232*c_1100_10^10 + 85599797925/5479799744*c_1100_10^9 - 389866002517/32878798464*c_1100_10^8 + 1435649281523/32878798464*c_1100_10^7 - 506749956361/8219699616*c_1100_10^6 + 256730643343/2739899872*c_1100_10^5 - 137255165117/1369949936*c_1100_10^4 + 91653514759/1027462452*c_1100_10^3 - 594557399469/10959599488*c_1100_10^2 + 784307380369/32878798464*c_1100_10 - 5049035305/1027462452, c_0101_0 + 24583557095/131515193856*c_1100_10^15 + 22628522251/43838397952*c_1100_10^14 + 11594065705/8219699616*c_1100_10^13 + 300188265/171243742*c_1100_10^12 + 314325390515/131515193856*c_1100_10^11 + 18053910949/131515193856*c_1100_10^10 + 314374204813/43838397952*c_1100_10^9 - 1538689102439/131515193856*c_1100_10^8 + 3861008827667/131515193856*c_1100_10^7 - 6341286192299/131515193856*c_1100_10^6 + 2358438149701/32878798464*c_1100_10^5 - 2736833778841/32878798464*c_1100_10^4 + 9975726052691/131515193856*c_1100_10^3 - 2239187034729/43838397952*c_1100_10^2 + 2947684358069/131515193856*c_1100_10 - 848849818133/131515193856, c_0101_1 - 1, c_0101_10 - 6471491225/131515193856*c_1100_10^15 - 6996722135/131515193856*c_1100_10^14 - 1435758251/16439399232*c_1100_10^13 + 941637723/2739899872*c_1100_10^12 + 88451242987/131515193856*c_1100_10^11 + 82901984639/43838397952*c_1100_10^10 - 58342584841/131515193856*c_1100_10^9 + 322820409963/43838397952*c_1100_10^8 - 1297717879429/131515193856*c_1100_10^7 + 3109553907949/131515193856*c_1100_10^6 - 1070007618139/32878798464*c_1100_10^5 + 1411288888151/32878798464*c_1100_10^4 - 5301787902157/131515193856*c_1100_10^3 + 3989684213453/131515193856*c_1100_10^2 - 1867086798259/131515193856*c_1100_10 + 556176499571/131515193856, c_0101_11 - 112079725/1240709376*c_1100_10^15 - 2853565/9693042*c_1100_10^14 - 522681241/620354688*c_1100_10^13 - 251658127/206784896*c_1100_10^12 - 1874264419/1240709376*c_1100_10^11 + 40458235/620354688*c_1100_10^10 - 2332664569/1240709376*c_1100_10^9 + 2173248983/310177344*c_1100_10^8 - 4088593453/413569792*c_1100_10^7 + 4633819995/206784896*c_1100_10^6 - 8777905055/310177344*c_1100_10^5 + 59856161/1615507*c_1100_10^4 - 13854585011/413569792*c_1100_10^3 + 4085404111/155088672*c_1100_10^2 - 5640259043/413569792*c_1100_10 + 3284229911/620354688, c_0101_2 - 4686519145/65757596928*c_1100_10^15 - 3279193663/10959599488*c_1100_10^14 - 4994552961/5479799744*c_1100_10^13 - 4801975617/2739899872*c_1100_10^12 - 181129957177/65757596928*c_1100_10^11 - 89963288173/32878798464*c_1100_10^10 - 304765385521/65757596928*c_1100_10^9 - 6040860137/32878798464*c_1100_10^8 - 516535055513/65757596928*c_1100_10^7 + 74566475693/10959599488*c_1100_10^6 - 190293503281/16439399232*c_1100_10^5 + 35350488065/4109849808*c_1100_10^4 - 442424444693/65757596928*c_1100_10^3 + 42964312075/32878798464*c_1100_10^2 - 3958038949/21919198976*c_1100_10 - 5948971017/10959599488, c_0101_6 - 6471491225/131515193856*c_1100_10^15 - 6996722135/131515193856*c_1100_10^14 - 1435758251/16439399232*c_1100_10^13 + 941637723/2739899872*c_1100_10^12 + 88451242987/131515193856*c_1100_10^11 + 82901984639/43838397952*c_1100_10^10 - 58342584841/131515193856*c_1100_10^9 + 322820409963/43838397952*c_1100_10^8 - 1297717879429/131515193856*c_1100_10^7 + 3109553907949/131515193856*c_1100_10^6 - 1070007618139/32878798464*c_1100_10^5 + 1411288888151/32878798464*c_1100_10^4 - 5301787902157/131515193856*c_1100_10^3 + 3989684213453/131515193856*c_1100_10^2 - 1867086798259/131515193856*c_1100_10 + 556176499571/131515193856, c_1001_0 + 3736913635/131515193856*c_1100_10^15 + 11558406903/43838397952*c_1100_10^14 + 1067720759/1369949936*c_1100_10^13 + 9875457693/5479799744*c_1100_10^12 + 325796696143/131515193856*c_1100_10^11 + 373044260369/131515193856*c_1100_10^10 + 249703897795/131515193856*c_1100_10^9 + 722181391309/131515193856*c_1100_10^8 - 603254011153/131515193856*c_1100_10^7 + 826973505659/43838397952*c_1100_10^6 - 884590811279/32878798464*c_1100_10^5 + 1471703406979/32878798464*c_1100_10^4 - 6213011859361/131515193856*c_1100_10^3 + 5687833000057/131515193856*c_1100_10^2 - 963852743693/43838397952*c_1100_10 + 371318703109/43838397952, c_1001_4 + 656984755/2054924904*c_1100_10^15 + 35224129277/32878798464*c_1100_10^14 + 102102009229/32878798464*c_1100_10^13 + 54941646415/10959599488*c_1100_10^12 + 247032958381/32878798464*c_1100_10^11 + 84929382887/16439399232*c_1100_10^10 + 85599797925/5479799744*c_1100_10^9 - 389866002517/32878798464*c_1100_10^8 + 1435649281523/32878798464*c_1100_10^7 - 506749956361/8219699616*c_1100_10^6 + 256730643343/2739899872*c_1100_10^5 - 137255165117/1369949936*c_1100_10^4 + 91653514759/1027462452*c_1100_10^3 - 594557399469/10959599488*c_1100_10^2 + 784307380369/32878798464*c_1100_10 - 5049035305/1027462452, c_1100_10^16 + 12/5*c_1100_10^15 + 7*c_1100_10^14 + 8*c_1100_10^13 + 13*c_1100_10^12 + 4/5*c_1100_10^11 + 44*c_1100_10^10 - 76*c_1100_10^9 + 196*c_1100_10^8 - 1692/5*c_1100_10^7 + 2707/5*c_1100_10^6 - 3392/5*c_1100_10^5 + 3549/5*c_1100_10^4 - 2836/5*c_1100_10^3 + 1742/5*c_1100_10^2 - 716/5*c_1100_10 + 169/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.960 Total time: 2.169 seconds, Total memory usage: 32.09MB