Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 2101141926] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1708 geometric_solution 5.41898857 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 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 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 0.451932317673 0.196002285369 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 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 1 -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 0.685655882719 0.611722576841 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 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 -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 -0.191381701934 1.227950311706 2 5 4 1 3201 1023 3201 0132 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 1 0 -1 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 -0.191381701934 1.227950311706 3 2 4 4 2310 0132 1230 3012 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 0.884862124662 1.280755145746 3 6 6 2 1023 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185962428045 0.509677014173 5 5 6 6 2310 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 1 -1 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.034038878138 0.837259694837 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], '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_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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 453792917269/10779048734*c_0101_6^26 + 45551346302693/53895243670*c_0101_6^24 + 318844189193313/53895243670*c_0101_6^22 + 779828150273733/53895243670*c_0101_6^20 - 38037498892764/5389524367*c_0101_6^18 - 1346335496990057/26947621835*c_0101_6^16 + 534137558906913/26947621835*c_0101_6^14 + 156685001209106/26947621835*c_0101_6^12 + 285186031767879/5389524367*c_0101_6^10 - 9098491746351/161363005*c_0101_6^8 + 832986038981779/53895243670*c_0101_6^6 - 271585625022029/53895243670*c_0101_6^4 + 194402211895611/53895243670*c_0101_6^2 - 10686601311109/26947621835, c_0011_0 - 1, c_0011_1 - 676559938/26947621835*c_0101_6^26 - 14884208444/26947621835*c_0101_6^24 - 122341389124/26947621835*c_0101_6^22 - 439077975036/26947621835*c_0101_6^20 - 511720343206/26947621835*c_0101_6^18 + 487288424367/26947621835*c_0101_6^16 + 964963792776/26947621835*c_0101_6^14 + 407023315501/26947621835*c_0101_6^12 - 560995535851/26947621835*c_0101_6^10 - 3064796443/161363005*c_0101_6^8 + 205646028426/26947621835*c_0101_6\ ^6 - 36897775208/26947621835*c_0101_6^4 + 37427663431/26947621835*c_0101_6^2 + 11060481651/26947621835, c_0011_3 + 8106219598/26947621835*c_0101_6^27 + 162587886164/26947621835*c_0101_6^25 + 1135749855514/26947621835*c_0101_6^23 + 2757937309281/26947621835*c_0101_6^21 - 1461374296114/26947621835*c_0101_6^19 - 9735660322682/26947621835*c_0101_6^17 + 3983430385679/26947621835*c_0101_6^15 + 1483184564519/26947621835*c_0101_6^13 + 10338818267256/26947621835*c_0101_6^11 - 65943474622/161363005*c_0101_6^9 + 2744989837654/26947621835*c_0101_6^7 - 898202886512/26947621835*c_0101_6^5 + 724737690534/26947621835*c_0101_6^3 - 74587350956/26947621835*c_0101_6, c_0101_0 - 4362419452/26947621835*c_0101_6^27 - 86767964926/26947621835*c_0101_6^25 - 596304062946/26947621835*c_0101_6^23 - 1376322156389/26947621835*c_0101_6^21 + 1077582397701/26947621835*c_0101_6^19 + 5241339230348/26947621835*c_0101_6^17 - 2926131027891/26947621835*c_0101_6^15 - 642223835281/26947621835*c_0101_6^13 - 5516149821879/26947621835*c_0101_6^11 + 40604158673/161363005*c_0101_6^9 - 2227829868421/26947621835*c_0101_6^7 + 637296579453/26947621835*c_0101_6^5 - 396222003276/26947621835*c_0101_6^3 + 86435325269/26947621835*c_0101_6, c_0101_1 + 4069642269/26947621835*c_0101_6^26 + 83786753792/26947621835*c_0101_6^24 + 615620321182/26947621835*c_0101_6^22 + 1731271677403/26947621835*c_0101_6^20 + 335530989113/26947621835*c_0101_6^18 - 4267279364876/26947621835*c_0101_6^16 - 125613882128/26947621835*c_0101_6^14 - 405389063228/26947621835*c_0101_6^12 + 4756561597763/26947621835*c_0101_6^10 - 18573857061/161363005*c_0101_6^8 + 896835594502/26947621835*c_0101_6^6 - 533175612891/26947621835*c_0101_6^4 + 160810520617/26947621835*c_0101_6^2 - 17367082318/26947621835, c_0101_4 - 2660372969/26947621835*c_0101_6^27 - 51505412897/26947621835*c_0101_6^25 - 334529290662/26947621835*c_0101_6^23 - 624129426393/26947621835*c_0101_6^21 + 1268305085982/26947621835*c_0101_6^19 + 3316660926856/26947621835*c_0101_6^17 - 3414487166132/26947621835*c_0101_6^15 - 765034927017/26947621835*c_0101_6^13 - 3442956557048/26947621835*c_0101_6^11 + 35258491631/161363005*c_0101_6^9 - 2135120572537/26947621835*c_0101_6^7 + 486444495296/26947621835*c_0101_6^5 - 403587516212/26947621835*c_0101_6^3 + 62148076403/26947621835*c_0101_6, c_0101_6^28 + 20*c_0101_6^26 + 139*c_0101_6^24 + 333*c_0101_6^22 - 194*c_0101_6^20 - 1175*c_0101_6^18 + 560*c_0101_6^16 + 104*c_0101_6^14 + 1248*c_0101_6^12 - 1434*c_0101_6^10 + 467*c_0101_6^8 - 148*c_0101_6^6 + 95*c_0101_6^4 - 16*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB