Magma V2.19-8 Tue Aug 20 2013 16:16:34 on localhost [Seed = 357861833] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0856 geometric_solution 4.76862072 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727044861355 0.363370278448 0 3 0 3 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825689120649 0.106748015192 4 0 5 0 0132 0132 0132 1023 0 0 0 0 0 1 -1 0 2 0 -1 -1 1 0 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 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 1.937515777558 1.208568755579 1 1 3 3 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644190800168 0.077620291994 2 6 5 5 0132 0132 2310 1230 0 0 0 0 0 0 0 0 -2 0 1 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 1 0 -1 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 0.455917783773 1.110649015474 4 4 6 2 3012 3201 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.455917783773 1.110649015474 6 4 6 5 2310 0132 3201 0132 0 0 0 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 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 0.489343887237 0.456415035574 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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' : 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_0'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0101_4']})} 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_5, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 3*c_0110_3^2 - 2*c_0110_3 + 6, c_0011_0 - 1, c_0011_5 - 1, c_0101_0 - c_0110_3^2 + 1, c_0101_1 - c_0110_3^2 + 1, c_0101_4 + c_0110_3, c_0101_5 + c_0110_3^2 + c_0110_3 - 1, c_0110_3^3 + c_0110_3^2 - 2*c_0110_3 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 16510807362553158/5091647*c_0110_3^29 - 177310233742099408/5091647*c_0110_3^28 + 363617485583074314/5091647*c_0110_3^27 + 2208125119412453671/5091647*c_0110_3^26 - 8639667525898879442/5091647*c_0110_3^25 - 9418471102403364966/5091647*c_0110_3^24 + 66347462360958648854/5091647*c_0110_3^23 + 19971115753916827754/5091647*c_0110_3^22 - 289210934981824952526/5091647*c_0110_3^21 - 51293315856575392537/5091647*c_0110_3^20 + 824634384135736021680/5091647*c_0110_3^19 + 23284581240417758487/462877*c_0110_3^18 - 1572174951342724031923/5091647*c_0110_3^17 - 891529593607950033204/5091647*c_0110_3^16 + 1900145183981358929014/5091647*c_0110_3^15 + 1774810933777912447851/5091647*c_0110_3^14 - 1192737268619039167720/5091647*c_0110_3^13 - 184274931543365129482/462877*c_0110_3^12 - 39192739956334395375/5091647*c_0110_3^11 + 1227789952036585045121/5091647*c_0110_3^10 + 600655896699099566295/5091647*c_0110_3^9 - 246402616432276040706/5091647*c_0110_3^8 - 340103668051065812240/5091647*c_0110_3^7 - 94944543491513040638/5091647*c_0110_3^6 + 36058898370663509237/5091647*c_0110_3^5 + 37180088824318088423/5091647*c_0110_3^4 + 13543378360799070183/5091647*c_0110_3^3 + 2692559369680594484/5091647*c_0110_3^2 + 291231687868970170/5091647*c_0110_3 + 13509750225402381/5091647, c_0011_0 - 1, c_0011_5 + 5925*c_0110_3^29 - 61915*c_0110_3^28 + 111865*c_0110_3^27 + 832487*c_0110_3^26 - 2876174*c_0110_3^25 - 4305183*c_0110_3^24 + 22947472*c_0110_3^23 + 14166672*c_0110_3^22 - 102593072*c_0110_3^21 - 48608880*c_0110_3^20 + 294414681*c_0110_3^19 + 177835425*c_0110_3^18 - 548462045*c_0110_3^17 - 485487854*c_0110_3^16 + 610228717*c_0110_3^15 + 843924912*c_0110_3^14 - 269719772*c_0110_3^13 - 872161010*c_0110_3^12 - 206772622*c_0110_3^11 + 461591729*c_0110_3^10 + 341113585*c_0110_3^9 - 42125214*c_0110_3^8 - 154012073*c_0110_3^7 - 65477112*c_0110_3^6 + 7213546*c_0110_3^5 + 17929826*c_0110_3^4 + 8150027*c_0110_3^3 + 1934081*c_0110_3^2 + 249709*c_0110_3 + 14032, c_0101_0 + 217412268533046/462877*c_0110_3^29 - 2333168777499564/462877*c_0110_3^28 + 4769953654458614/462877*c_0110_3^27 + 29118972333611476/462877*c_0110_3^26 - 113563923335692587/462877*c_0110_3^25 - 124949628945160486/462877*c_0110_3^24 + 873070946961228883/462877*c_0110_3^23 + 269745298379292081/462877*c_0110_3^22 - 3808841581692816122/462877*c_0110_3^21 - 703771560704818919/462877*c_0110_3^20 + 10864167746529762769/462877*c_0110_3^19 + 3452052536305049226/462877*c_0110_3^18 - 20706436766352826290/462877*c_0110_3^17 - 11893143775069197981/462877*c_0110_3^16 + 24989976850156272657/462877*c_0110_3^15 + 23569472254277088147/462877*c_0110_3^14 - 15604597543678024010/462877*c_0110_3^13 - 26846853053800183650/462877*c_0110_3^12 - 658434585932865543/462877*c_0110_3^11 + 16216320213830983896/462877*c_0110_3^10 + 8012308058654477956/462877*c_0110_3^9 - 3223516956891481957/462877*c_0110_3^8 - 4510545493891593012/462877*c_0110_3^7 - 1271862070569066917/462877*c_0110_3^6 + 473468496942579050/462877*c_0110_3^5 + 493635781677952476/462877*c_0110_3^4 + 180503304590435685/462877*c_0110_3^3 + 35989716974061261/462877*c_0110_3^2 + 3902882813351091/462877*c_0110_3 + 181504011872892/462877, c_0101_1 + 3*c_0110_3^29 - 31*c_0110_3^28 + 53*c_0110_3^27 + 428*c_0110_3^26 - 1407*c_0110_3^25 - 2348*c_0110_3^24 + 11360*c_0110_3^23 + 8519*c_0110_3^22 - 51070*c_0110_3^21 - 30640*c_0110_3^20 + 146024*c_0110_3^19 + 107333*c_0110_3^18 - 266697*c_0110_3^17 - 277888*c_0110_3^16 + 279370*c_0110_3^15 + 462517*c_0110_3^14 - 85674*c_0110_3^13 - 456120*c_0110_3^12 - 156711*c_0110_3^11 + 220043*c_0110_3^10 + 199697*c_0110_3^9 - 381*c_0110_3^8 - 79936*c_0110_3^7 - 42357*c_0110_3^6 - 471*c_0110_3^5 + 9412*c_0110_3^4 + 5206*c_0110_3^3 + 1490*c_0110_3^2 + 253*c_0110_3 + 23, c_0101_4 + 66490961123124/462877*c_0110_3^29 - 717165177402339/462877*c_0110_3^28 + 1498865746437965/462877*c_0110_3^27 + 8811872410989011/462877*c_0110_3^26 - 35181996649949995/462877*c_0110_3^25 - 36164862160309326/462877*c_0110_3^24 + 268359516495989038/462877*c_0110_3^23 + 67501223041256561/462877*c_0110_3^22 - 1164008327103570745/462877*c_0110_3^21 - 152212188805671745/462877*c_0110_3^20 + 3311876534925860397/462877*c_0110_3^19 + 878927412896331730/462877*c_0110_3^18 - 6327177072383315071/462877*c_0110_3^17 - 3294975295169714413/462877*c_0110_3^16 + 7718732357988064386/462877*c_0110_3^15 + 6765766361609752899/462877*c_0110_3^14 - 5006932144407958028/462877*c_0110_3^13 - 7867795658971003660/462877*c_0110_3^12 + 123139445632101216/462877*c_0110_3^11 + 4855086594383957228/462877*c_0110_3^10 + 2217901932594953686/462877*c_0110_3^9 - 1036447441344580385/462877*c_0110_3^8 - 1307902477665530210/462877*c_0110_3^7 - 339410867391806148/462877*c_0110_3^6 + 148340682059423639/462877*c_0110_3^5 + 141841487333096368/462877*c_0110_3^4 + 50239022162615108/462877*c_0110_3^3 + 9769071764576296/462877*c_0110_3^2 + 1034826768207513/462877*c_0110_3 + 47011050362505/462877, c_0101_5 + 507159960834207/462877*c_0110_3^29 - 5436848529544696/462877*c_0110_3^28 + 11063132595496888/462877*c_0110_3^27 + 68074436606949810/462877*c_0110_3^26 - 264191318095957095/462877*c_0110_3^25 - 294727756263337033/462877*c_0110_3^24 + 2034431102095199194/462877*c_0110_3^23 + 653123448037601729/462877*c_0110_3^22 - 8885992704924631888/462877*c_0110_3^21 - 1742252951111307535/462877*c_0110_3^20 + 25358905345712203920/462877*c_0110_3^19 + 8335052965886176726/462877*c_0110_3^18 - 48307839032043513124/462877*c_0110_3^17 - 28290077789416406204/462877*c_0110_3^16 + 58167449474754918173/462877*c_0110_3^15 + 55686874857074443376/462877*c_0110_3^14 - 36019499024509213792/462877*c_0110_3^13 - 63171108186644041859/462877*c_0110_3^12 - 2059775303533036717/462877*c_0110_3^11 + 37991179079170821455/462877*c_0110_3^10 + 19064113249474261953/462877*c_0110_3^9 - 7436023076179700804/462877*c_0110_3^8 - 10636128135784266385/462877*c_0110_3^7 - 3047041976737630351/462877*c_0110_3^6 + 1098422622773815865/462877*c_0110_3^5 + 1166160641013075230/462877*c_0110_3^4 + 429093240405128930/462877*c_0110_3^3 + 85964705070085195/462877*c_0110_3^2 + 9363246896507736/462877*c_0110_3 + 437300095360465/462877, c_0110_3^30 - 31/3*c_0110_3^29 + 53/3*c_0110_3^28 + 428/3*c_0110_3^27 - 469*c_0110_3^26 - 2348/3*c_0110_3^25 + 11360/3*c_0110_3^24 + 8519/3*c_0110_3^23 - 51070/3*c_0110_3^22 - 30640/3*c_0110_3^21 + 146024/3*c_0110_3^20 + 107333/3*c_0110_3^19 - 88899*c_0110_3^18 - 277888/3*c_0110_3^17 + 279370/3*c_0110_3^16 + 462517/3*c_0110_3^15 - 28558*c_0110_3^14 - 152040*c_0110_3^13 - 52237*c_0110_3^12 + 220043/3*c_0110_3^11 + 199697/3*c_0110_3^10 - 127*c_0110_3^9 - 79936/3*c_0110_3^8 - 14119*c_0110_3^7 - 157*c_0110_3^6 + 9412/3*c_0110_3^5 + 5206/3*c_0110_3^4 + 1490/3*c_0110_3^3 + 84*c_0110_3^2 + 8*c_0110_3 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB