Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 1562165329] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2832 geometric_solution 6.05223951 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 0 -1 1 1 0 -1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.691865187088 0.630555704925 0 0 3 2 0132 2310 0132 0132 0 0 0 0 0 1 0 -1 -1 0 0 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 -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 0.105587765276 1.136295226185 4 5 1 6 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 0 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 -1 1 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 0.837615444593 0.871386871606 6 5 6 1 1230 1230 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024222078310 0.930668380398 2 6 5 5 0132 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743250937653 0.993419730583 4 2 3 4 3201 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489712266252 0.387101802722 4 3 2 3 1230 3012 0132 1302 0 0 0 0 0 -1 1 0 0 0 -1 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 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 0.541224901464 0.548046373357 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : 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_2_0' : negation(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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_6']), '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_2, c_0011_3, c_0011_6, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 27704932065839301/210540264286388224*c_0101_4^20 - 6051359977741817/26317533035798528*c_0101_4^18 + 384703878244360183/105270132143194112*c_0101_4^16 + 425932238405559319/26317533035798528*c_0101_4^14 + 3243615776058720255/210540264286388224*c_0101_4^12 - 2071960381042932717/26317533035798528*c_0101_4^10 - 1619795856484532163/6579383258949632*c_0101_4^8 - 1156650772215603327/3289691629474816*c_0101_4^6 - 14548137785103821/51401431710544*c_0101_4^4 - 28309031949925375/205605726842176*c_0101_4^2 - 2191679133436601/51401431710544, c_0011_0 - 1, c_0011_2 + 435884656908519/105270132143194112*c_0101_4^20 + 26924655010107/3289691629474816*c_0101_4^18 - 5830694373361405/52635066071597056*c_0101_4^16 - 7084062807331811/13158766517899264*c_0101_4^14 - 71233890844772549/105270132143194112*c_0101_4^12 + 7444235791560757/3289691629474816*c_0101_4^10 + 7110975051115987/822422907368704*c_0101_4^8 + 23467975623314159/1644845814737408*c_0101_4^6 + 604818727179155/51401431710544*c_0101_4^4 + 597813454698877/102802863421088*c_0101_4^2 + 31281288245225/25700715855272, c_0011_3 + 12190730282991/210540264286388224*c_0101_4^21 - 123551686012059/26317533035798528*c_0101_4^19 - 712088764289125/105270132143194112*c_0101_4^17 + 3390845519928447/26317533035798528*c_0101_4^15 + 103009438752060963/210540264286388224*c_0101_4^13 + 7425056260643897/26317533035798528*c_0101_4^11 - 18491619030958953/6579383258949632*c_0101_4^9 - 21990423053866887/3289691629474816*c_0101_4^7 - 881401110934987/102802863421088*c_0101_4^5 - 1337394673377395/205605726842176*c_0101_4^3 - 139017160574017/51401431710544*c_0101_4, c_0011_6 + 873998652003399/210540264286388224*c_0101_4^21 + 210528828722427/13158766517899264*c_0101_4^19 - 11487293553885981/105270132143194112*c_0101_4^17 - 19980369159450495/26317533035798528*c_0101_4^15 - 273392896731450213/210540264286388224*c_0101_4^13 + 30115621854917931/13158766517899264*c_0101_4^11 + 21440280726728027/1644845814737408*c_0101_4^9 + 71396830447074099/3289691629474816*c_0101_4^7 + 4507725800660247/205605726842176*c_0101_4^5 + 2597852478477897/205605726842176*c_0101_4^3 + 254499027133793/51401431710544*c_0101_4, c_0101_0 - 349282469744793/210540264286388224*c_0101_4^21 - 43652537622015/3289691629474816*c_0101_4^19 + 3795351014824451/105270132143194112*c_0101_4^17 + 13131400377583797/26317533035798528*c_0101_4^15 + 260733722142315707/210540264286388224*c_0101_4^13 - 3650912655273/6425178963818*c_0101_4^11 - 15703575607183239/1644845814737408*c_0101_4^9 - 61728656374839209/3289691629474816*c_0101_4^7 - 265958393304133/12850357927636*c_0101_4^5 - 2430276327126691/205605726842176*c_0101_4^3 - 232207449129095/51401431710544*c_0101_4, c_0101_3 - 87369799329189/13158766517899264*c_0101_4^20 + 10855142935791/13158766517899264*c_0101_4^18 + 1281279626727225/6579383258949632*c_0101_4^16 + 3010014141679047/6579383258949632*c_0101_4^14 - 5602382728576465/13158766517899264*c_0101_4^12 - 55163067819356765/13158766517899264*c_0101_4^10 - 14366133270134091/3289691629474816*c_0101_4^8 - 1562599993611685/822422907368704*c_0101_4^6 + 32442370087135/25700715855272*c_0101_4^4 + 2154552543591/12850357927636*c_0101_4^2 + 6950978344361/12850357927636, c_0101_4^22 + 92/39*c_0101_4^20 - 1018/39*c_0101_4^18 - 5440/39*c_0101_4^16 - 8165/39*c_0101_4^14 + 18284/39*c_0101_4^12 + 6656/3*c_0101_4^10 + 163264/39*c_0101_4^8 + 177920/39*c_0101_4^6 + 128000/39*c_0101_4^4 + 57344/39*c_0101_4^2 + 16384/39 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB