Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 3263389191] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1692 geometric_solution 5.40967197 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.618897147130 0.785723816335 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 -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 0.177340640216 0.506662684495 3 1 4 5 2310 0132 0132 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 -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 0.655187530709 1.647045729245 4 6 2 1 1230 0132 3201 0132 0 0 0 0 0 -1 0 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 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 -0.089317768960 0.597959823802 6 3 6 2 3201 3012 1302 0132 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 -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 0 0 0 0.563873287061 0.152081094277 6 5 2 5 2031 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.111000681539 0.959575539108 4 3 5 4 2031 0132 1302 2310 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 -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 0.888999318461 0.959575539108 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : 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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 235163264775625227677822947/256239234511000263315567*c_0110_5^20 - 101956435649075053781711407/85413078170333421105189*c_0110_5^18 + 4846162312215904166491804204/256239234511000263315567*c_0110_5^16 - 27839413415334274005913795141/256239234511000263315567*c_0110_5^14 + 71464739827549627966707390392/256239234511000263315567*c_0110_5^12 - 96918176022841773767761615082/256239234511000263315567*c_0110_5^10 + 71406305716901935587547911386/256239234511000263315567*c_0110_5^8 - 12181446981583328935897946740/85413078170333421105189*c_0110_5^6 + 16305537117456424397828742941/256239234511000263315567*c_0110_5^4 - 1877478602918893509627005342/256239234511000263315567*c_0110_5^2 + 52545979352906031484461919/256239234511000263315567, c_0011_0 - 1, c_0011_3 + 1122569602365968148350292/28471026056777807035063*c_0110_5^2\ 0 - 1461550638872634027448876/28471026056777807035063*c_0110_5^18 + 23136420812499645372217085/28471026056777807035063*c_0110_5^16 - 132922671697400825611345687/28471026056777807035063*c_0110_5^14 + 341335547321754213995810292/28471026056777807035063*c_0110_5^12 - 463161384789065983328565659/28471026056777807035063*c_0110_5^10 + 341556740072539105164968955/28471026056777807035063*c_0110_5^8 - 174852610178103746074120975/28471026056777807035063*c_0110_5^6 + 77916382541828744912355652/28471026056777807035063*c_0110_5^4 - 8987658494644489880115142/28471026056777807035063*c_0110_5^2 + 216691563916726241338950/28471026056777807035063, c_0011_4 + 22688803128372558312525/981759519199234725347*c_0110_5^21 - 29311255870878781135223/981759519199234725347*c_0110_5^19 + 467234674358260338529359/981759519199234725347*c_0110_5^17 - 2681804855508817834900721/981759519199234725347*c_0110_5^15 + 6869977921854252770686001/981759519199234725347*c_0110_5^13 - 9282560592046016667072938/981759519199234725347*c_0110_5^11 + 6788703152190988915293759/981759519199234725347*c_0110_5^9 - 3441975973799023252670100/981759519199234725347*c_0110_5^7 + 1525796470132872175809095/981759519199234725347*c_0110_5^5 - 158469077221032735599149/981759519199234725347*c_0110_5^3 - 103888221497437546146/981759519199234725347*c_0110_5, c_0011_5 + 66881635047990000700221/28471026056777807035063*c_0110_5^20 - 90042420603043485453687/28471026056777807035063*c_0110_5^18 + 1381937960312332032964856/28471026056777807035063*c_0110_5^16 - 7979834790358523422718151/28471026056777807035063*c_0110_5^14 + 20679217465592528637393014/28471026056777807035063*c_0110_5^12 - 28449577414623715815835144/28471026056777807035063*c_0110_5^10 + 21427796835538115727027572/28471026056777807035063*c_0110_5^8 - 11090560462777830943520468/28471026056777807035063*c_0110_5^6 + 4896963548970291484483062/28471026056777807035063*c_0110_5^4 - 647102508509784066141059/28471026056777807035063*c_0110_5^2 + 5551817076722108815834/28471026056777807035063, c_0101_0 + 157310301173978237383598/981759519199234725347*c_0110_5^21 - 207105793994456372295904/981759519199234725347*c_0110_5^19 + 3244919125260757611189584/981759519199234725347*c_0110_5^17 - 18674180872923969986144791/981759519199234725347*c_0110_5^15 + 48098767678620362048542633/981759519199234725347*c_0110_5^13 - 65575865061618151472578477/981759519199234725347*c_0110_5^11 + 48754513960722222379911527/981759519199234725347*c_0110_5^9 - 25147235018234415643801741/981759519199234725347*c_0110_5^7 + 11255012619126283119759582/981759519199234725347*c_0110_5^5 - 1411344875181410960996457/981759519199234725347*c_0110_5^3 + 46854417312579062256795/981759519199234725347*c_0110_5, c_0101_2 + 3167062165571872334237565/28471026056777807035063*c_0110_5^2\ 1 - 4099624759144229677929411/28471026056777807035063*c_0110_5^19 + 65239257546556585820838276/28471026056777807035063*c_0110_5^17 - 374520109764282878169223645/28471026056777807035063*c_0110_5^15 + 960104839774114617862731847/28471026056777807035063*c_0110_5^13 - 1299148863733067462785437601/28471026056777807035063*c_0110_5^11 + 953218089388373374560774155/28471026056777807035063*c_0110_5^9 - 485659664354371824918790431/28471026056777807035063*c_0110_5^7 + 216092422117112341660547850/28471026056777807035063*c_0110_5^5 - 23677094049322764134446368/28471026056777807035063*c_0110_5^3 + 440829826433580742446852/28471026056777807035063*c_0110_5, c_0110_5^22 - 58/41*c_0110_5^20 + 851/41*c_0110_5^18 - 4950/41*c_0110_5^16 + 13013/41*c_0110_5^14 - 18318/41*c_0110_5^12 + 14376/41*c_0110_5^10 - 190*c_0110_5^8 + 3568/41*c_0110_5^6 - 651/41*c_0110_5^4 + 46/41*c_0110_5^2 - 1/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB