Magma V2.19-8 Tue Aug 20 2013 16:16:32 on localhost [Seed = 3987501364] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0830 geometric_solution 4.75499484 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.734848218419 3.256582952282 0 0 3 2 0132 3201 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 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 0.086445803758 0.300146259754 3 3 1 4 1230 1023 0132 0132 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 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 0.419858288205 1.375556697126 2 2 4 1 1023 3012 0132 0132 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419858288205 1.375556697126 5 5 2 3 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.185947701907 0.994622124533 4 6 4 6 0132 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033408728577 1.364223118557 6 5 6 5 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432388023722 0.119511046337 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_2'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_0, c_0101_1, c_0110_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 481714787314795000356005927527/29423493141437948411101488432451*c_1\ 100_1^13 + 3556182466083239119813101799468/294234931414379484111014\ 88432451*c_1100_1^12 - 8384388839853957143890801532471/294234931414\ 37948411101488432451*c_1100_1^11 - 29723240073536031097323330428072/29423493141437948411101488432451*c\ _1100_1^10 + 19373833664761429531132167759151/267486301285799531010\ 0135312041*c_1100_1^9 - 7624974876705102404710383239929/29423493141\ 437948411101488432451*c_1100_1^8 - 1743361820442949430602028035684661/29423493141437948411101488432451\ *c_1100_1^7 + 2006610697555989718999033725108030/294234931414379484\ 11101488432451*c_1100_1^6 + 3172176659540323086731962853097191/2942\ 3493141437948411101488432451*c_1100_1^5 - 5201140210838998578669898419277226/29423493141437948411101488432451\ *c_1100_1^4 - 1511080120657992424163954080987463/294234931414379484\ 11101488432451*c_1100_1^3 + 2993994161216637683387702677457061/2942\ 3493141437948411101488432451*c_1100_1^2 - 983388114953230588128314163165477/29423493141437948411101488432451*\ c_1100_1 - 29419315516021994381530432216557/10146032117737223590034\ 99601119, c_0011_0 - 1, c_0011_2 + 241238707785745104125999/3180574331579066956123823201*c_1100\ _1^13 + 511986907585608192061714/3180574331579066956123823201*c_110\ 0_1^12 - 14449694475629319399213231/3180574331579066956123823201*c_\ 1100_1^11 + 68652338615813968124134732/3180574331579066956123823201\ *c_1100_1^10 - 5344363557677284506688099/31805743315790669561238232\ 01*c_1100_1^9 - 1084108894733323117347389821/3180574331579066956123\ 823201*c_1100_1^8 + 1709793286653279650310004522/318057433157906695\ 6123823201*c_1100_1^7 + 6675987723764347363809462536/31805743315790\ 66956123823201*c_1100_1^6 - 16640498628788840520049903850/318057433\ 1579066956123823201*c_1100_1^5 - 1350901768333350740982283244/31805\ 74331579066956123823201*c_1100_1^4 + 26855507274189973253838061194/3180574331579066956123823201*c_1100_1\ ^3 - 14017615075582760763569738890/3180574331579066956123823201*c_1\ 100_1^2 - 6937545767363763448420410011/3180574331579066956123823201\ *c_1100_1 + 7412825927804520929213158816/31805743315790669561238232\ 01, c_0011_4 + 105403397097179419248896758/92236655615792941727590872829*c_\ 1100_1^13 - 798571616107595118138652218/922366556157929417275908728\ 29*c_1100_1^12 + 1992234831633132543801081111/922366556157929417275\ 90872829*c_1100_1^11 + 6023778738159324178432597664/922366556157929\ 41727590872829*c_1100_1^10 - 47474030497226600757249333124/92236655\ 615792941727590872829*c_1100_1^9 + 11096570729669215356624003954/92236655615792941727590872829*c_1100_\ 1^8 + 372170923284889350707520862154/92236655615792941727590872829*\ c_1100_1^7 - 498408793866443854240980526097/92236655615792941727590\ 872829*c_1100_1^6 - 519311877367692396029543473379/9223665561579294\ 1727590872829*c_1100_1^5 + 1126237342663978213141484583106/92236655\ 615792941727590872829*c_1100_1^4 - 161503802393132959776023554135/92236655615792941727590872829*c_1100\ _1^3 - 449608026851234331066039593659/92236655615792941727590872829\ *c_1100_1^2 + 419565521046615757753311110215/9223665561579294172759\ 0872829*c_1100_1 - 3001232563923843500761899318/3180574331579066956\ 123823201, c_0101_0 - 2052642200821470/4275966000763948853*c_1100_1^13 + 17192086845939874/4275966000763948853*c_1100_1^12 - 51992501766166195/4275966000763948853*c_1100_1^11 - 80841782238713314/4275966000763948853*c_1100_1^10 + 1002787323413240113/4275966000763948853*c_1100_1^9 - 984133375393433154/4275966000763948853*c_1100_1^8 - 6791397976421212912/4275966000763948853*c_1100_1^7 + 15354159524600950544/4275966000763948853*c_1100_1^6 + 757947081305439937/4275966000763948853*c_1100_1^5 - 26689039704124046385/4275966000763948853*c_1100_1^4 + 18393332648784423436/4275966000763948853*c_1100_1^3 + 6061062788968079287/4275966000763948853*c_1100_1^2 - 13563525906290161407/4275966000763948853*c_1100_1 + 1392162886928330430/4275966000763948853, c_0101_1 + 25917563398482895254189891/92236655615792941727590872829*c_1\ 100_1^13 - 216575187921802293953261919/9223665561579294172759087282\ 9*c_1100_1^12 + 623973831847366740216663307/92236655615792941727590\ 872829*c_1100_1^11 + 1242560019635667406778231745/92236655615792941\ 727590872829*c_1100_1^10 - 13210963748274408881902478208/9223665561\ 5792941727590872829*c_1100_1^9 + 10918170827108479927945709866/9223\ 6655615792941727590872829*c_1100_1^8 + 97491149918985298725600457605/92236655615792941727590872829*c_1100_\ 1^7 - 197052631710914529596255854646/92236655615792941727590872829*\ c_1100_1^6 - 89610236384418568288456917416/922366556157929417275908\ 72829*c_1100_1^5 + 468398651617350195870923956276/92236655615792941\ 727590872829*c_1100_1^4 - 227426249581634615413952446035/9223665561\ 5792941727590872829*c_1100_1^3 - 230643681398859500061208807351/922\ 36655615792941727590872829*c_1100_1^2 + 244610764264689582359240522160/92236655615792941727590872829*c_1100\ _1 - 1101329801655933548206458569/3180574331579066956123823201, c_0110_6 + 101598675984136506688285560/92236655615792941727590872829*c_\ 1100_1^13 - 861856567427201940383827987/922366556157929417275908728\ 29*c_1100_1^12 + 2600201529858265646023957466/922366556157929417275\ 90872829*c_1100_1^11 + 4165868917936832338532816105/922366556157929\ 41727590872829*c_1100_1^10 - 51122222689714120097989192821/92236655\ 615792941727590872829*c_1100_1^9 + 50465766661146519364569975368/92236655615792941727590872829*c_1100_\ 1^8 + 355629825187012393985201007718/92236655615792941727590872829*\ c_1100_1^7 - 794536426144807482343930042699/92236655615792941727590\ 872829*c_1100_1^6 - 135672761292529999115105347683/9223665561579294\ 1727590872829*c_1100_1^5 + 1550505423421791477058723799239/92236655\ 615792941727590872829*c_1100_1^4 - 870487803758482566988521492943/92236655615792941727590872829*c_1100\ _1^3 - 562208517446254662016679138502/92236655615792941727590872829\ *c_1100_1^2 + 610641419357617979166260319638/9223665561579294172759\ 0872829*c_1100_1 - 4275295385176878118962953178/3180574331579066956\ 123823201, c_1100_1^14 - 8*c_1100_1^13 + 22*c_1100_1^12 + 50*c_1100_1^11 - 476*c_1100_1^10 + 285*c_1100_1^9 + 3548*c_1100_1^8 - 6194*c_1100_1^7 - 3589*c_1100_1^6 + 13189*c_1100_1^5 - 3689*c_1100_1^4 - 6705*c_1100_1^3 + 4650*c_1100_1^2 + 406*c_1100_1 - 841 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB