Magma V2.19-8 Tue Aug 20 2013 16:16:20 on localhost [Seed = 1191631778] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0604 geometric_solution 4.61452145 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.350993666619 0.138552357851 0 2 2 0 0132 0132 3201 3201 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 -1.020539556960 0.474022509186 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231026987301 0.243071763724 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 1.059613278091 1.049879196670 3 5 6 5 0132 0213 0132 1230 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 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 0.615598807182 0.729260753587 4 6 4 3 3012 3201 0213 0132 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 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 0.615598807182 0.729260753587 6 6 5 4 1230 3012 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.324099468454 0.800696371133 ==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_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 764089389650818266889/119653766050691057*c_0101_6^18 + 487977822742971211882/119653766050691057*c_0101_6^17 - 18028713486032612014090/119653766050691057*c_0101_6^16 + 12171818046656371956252/119653766050691057*c_0101_6^15 + 62076304208995509615151/119653766050691057*c_0101_6^14 - 298125467551533709229868/119653766050691057*c_0101_6^13 + 256418241629124395952190/119653766050691057*c_0101_6^12 + 1211450903176220207919875/119653766050691057*c_0101_6^11 - 1979417026689941733487582/119653766050691057*c_0101_6^10 - 1073529960769545695080345/119653766050691057*c_0101_6^9 + 3374167197800837566821909/119653766050691057*c_0101_6^8 - 754458769770223846219647/119653766050691057*c_0101_6^7 - 1646981484697469427817890/119653766050691057*c_0101_6^6 + 758520011693928864946749/119653766050691057*c_0101_6^5 + 254183074746380085915188/119653766050691057*c_0101_6^4 - 147835210547533076532131/119653766050691057*c_0101_6^3 - 20153697544332506679096/119653766050691057*c_0101_6^2 + 9149091872546081316140/119653766050691057*c_0101_6 + 1245976049592362544903/119653766050691057, c_0011_0 - 1, c_0011_3 + 3486089299032268971/119653766050691057*c_0101_6^18 + 2326522454408957796/119653766050691057*c_0101_6^17 - 82149469552584099604/119653766050691057*c_0101_6^16 + 53186710679044420628/119653766050691057*c_0101_6^15 + 283814837753201116417/119653766050691057*c_0101_6^14 - 1351222282938052484911/119653766050691057*c_0101_6^13 + 1134563485162185343429/119653766050691057*c_0101_6^12 + 5544356397551192474508/119653766050691057*c_0101_6^11 - 8856883743980162831181/119653766050691057*c_0101_6^10 - 5087553428904353369456/119653766050691057*c_0101_6^9 + 15134856124875344568768/119653766050691057*c_0101_6^8 - 3077385232285716886659/119653766050691057*c_0101_6^7 - 7404273221454292957270/119653766050691057*c_0101_6^6 + 3234701119943764511217/119653766050691057*c_0101_6^5 + 1143823134704578690079/119653766050691057*c_0101_6^4 - 619952850780309333124/119653766050691057*c_0101_6^3 - 87980194510675869413/119653766050691057*c_0101_6^2 + 36707976113113178746/119653766050691057*c_0101_6 + 5008386638533882511/119653766050691057, c_0011_5 - 8257386541773683908/119653766050691057*c_0101_6^18 - 6252516265295210612/119653766050691057*c_0101_6^17 + 193557858160252345289/119653766050691057*c_0101_6^16 - 109285215617513587897/119653766050691057*c_0101_6^15 - 671665889258112632879/119653766050691057*c_0101_6^14 + 3141690937556698923069/119653766050691057*c_0101_6^13 - 2442240073342315986431/119653766050691057*c_0101_6^12 - 13201977531802639518511/119653766050691057*c_0101_6^11 + 19765587115043651750099/119653766050691057*c_0101_6^10 + 13058515970196843022051/119653766050691057*c_0101_6^9 - 34118919465970164023288/119653766050691057*c_0101_6^8 + 5383117648184442824858/119653766050691057*c_0101_6^7 + 16921140860044999156213/119653766050691057*c_0101_6^6 - 6659716224531419087502/119653766050691057*c_0101_6^5 - 2694259153521541653402/119653766050691057*c_0101_6^4 + 1297479557008147333677/119653766050691057*c_0101_6^3 + 207719126503811000329/119653766050691057*c_0101_6^2 - 76478303557811747369/119653766050691057*c_0101_6 - 10679944592856043749/119653766050691057, c_0011_6 - 25461222267365050194/119653766050691057*c_0101_6^18 - 17271045204344040701/119653766050691057*c_0101_6^17 + 599340840302350815825/119653766050691057*c_0101_6^16 - 382778412279397386588/119653766050691057*c_0101_6^15 - 2067115985211720481332/119653766050691057*c_0101_6^14 + 9851957522143376947396/119653766050691057*c_0101_6^13 - 8213033100657811494432/119653766050691057*c_0101_6^12 - 40449636512211441435002/119653766050691057*c_0101_6^11 + 64276042079373929547209/119653766050691057*c_0101_6^10 + 37109998565898204121771/119653766050691057*c_0101_6^9 - 109900649918310360127635/119653766050691057*c_0101_6^8 + 22533841189377800338729/119653766050691057*c_0101_6^7 + 53749915046083111962591/119653766050691057*c_0101_6^6 - 23802464417117037034067/119653766050691057*c_0101_6^5 - 8292847180002228447301/119653766050691057*c_0101_6^4 + 4629596669169326890152/119653766050691057*c_0101_6^3 + 640170434333031131355/119653766050691057*c_0101_6^2 - 281771229975101294254/119653766050691057*c_0101_6 - 37763519902873281870/119653766050691057, c_0101_0 - 28010196882677111714/119653766050691057*c_0101_6^18 - 18069916647446881328/119653766050691057*c_0101_6^17 + 660516867307774493069/119653766050691057*c_0101_6^16 - 442290444710292402456/119653766050691057*c_0101_6^15 - 2272447842527222513248/119653766050691057*c_0101_6^14 + 10914316809244038277779/119653766050691057*c_0101_6^13 - 9350565973486142897650/119653766050691057*c_0101_6^12 - 44382072768462042641847/119653766050691057*c_0101_6^11 + 72250740965236186393125/119653766050691057*c_0101_6^10 + 39381227371308028299047/119653766050691057*c_0101_6^9 - 123075485866880566457878/119653766050691057*c_0101_6^8 + 27499933301522627537186/119653766050691057*c_0101_6^7 + 59862291991950535880039/119653766050691057*c_0101_6^6 - 27662295178058272407438/119653766050691057*c_0101_6^5 - 9121553368468860122324/119653766050691057*c_0101_6^4 + 5370647678525771938165/119653766050691057*c_0101_6^3 + 706119294117227266081/119653766050691057*c_0101_6^2 - 329782647942778018224/119653766050691057*c_0101_6 - 43775069605948030413/119653766050691057, c_0101_1 + 891248081351130139/119653766050691057*c_0101_6^18 + 685168100637817790/119653766050691057*c_0101_6^17 - 20934619076583323628/119653766050691057*c_0101_6^16 + 11494832419503711144/119653766050691057*c_0101_6^15 + 73795699054269564196/119653766050691057*c_0101_6^14 - 338477722983441995530/119653766050691057*c_0101_6^13 + 255652198752210770047/119653766050691057*c_0101_6^12 + 1445750283897414859162/119653766050691057*c_0101_6^11 - 2125680614697208423572/119653766050691057*c_0101_6^10 - 1515896925910629210778/119653766050691057*c_0101_6^9 + 3754046126066452273056/119653766050691057*c_0101_6^8 - 438007287396496936267/119653766050691057*c_0101_6^7 - 1986263436289338794709/119653766050691057*c_0101_6^6 + 688130002278566703067/119653766050691057*c_0101_6^5 + 369339157027921317352/119653766050691057*c_0101_6^4 - 150635779060588118887/119653766050691057*c_0101_6^3 - 32487336174572768026/119653766050691057*c_0101_6^2 + 9877352599007229535/119653766050691057*c_0101_6 + 1609236643560092639/119653766050691057, c_0101_6^19 - 24*c_0101_6^17 + 31*c_0101_6^16 + 71*c_0101_6^15 - 442*c_0101_6^14 + 585*c_0101_6^13 + 1370*c_0101_6^12 - 3602*c_0101_6^11 + 254*c_0101_6^10 + 5305*c_0101_6^9 - 3811*c_0101_6^8 - 1511*c_0101_6^7 + 2365*c_0101_6^6 - 308*c_0101_6^5 - 402*c_0101_6^4 + 98*c_0101_6^3 + 28*c_0101_6^2 - 6*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB