Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 3667609099] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1417 geometric_solution 5.25294205 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 1.856852800621 0.857483466916 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.682940506940 0.150074294957 0 3 4 0 3201 0132 0132 0132 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 0.759073594495 0.496015814934 5 2 4 6 0132 0132 1302 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494075773235 0.527515260760 3 6 5 2 2031 1023 0132 0132 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 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 0.494075773235 0.527515260760 3 5 5 4 0132 3201 2310 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045253940750 1.065964033040 4 6 3 6 1023 1302 0132 2031 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531031285720 0.478260604963 ==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' : 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' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : negation(d['c_0101_1']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 871591106561893/43617521307094*c_0110_6^12 + 7858654969471265/87235042614188*c_0110_6^11 + 4115108196242915/21808760653547*c_0110_6^10 - 5651802806593931/21808760653547*c_0110_6^9 - 114637636138111647/87235042614188*c_0110_6^8 - 69931089620738405/43617521307094*c_0110_6^7 - 115818539970608135/87235042614188*c_0110_6^6 + 3155990937484071/43617521307094*c_0110_6^5 + 78933564075169439/43617521307094*c_0110_6^4 + 15073508653942687/21808760653547*c_0110_6^3 - 21785055579835167/87235042614188*c_0110_6^2 + 15229368954702991/87235042614188*c_0110_6 + 10284295601358313/87235042614188, c_0011_0 - 1, c_0011_2 + 1048250445199/43617521307094*c_0110_6^12 - 8641689038327/87235042614188*c_0110_6^11 - 13116783168435/43617521307094*c_0110_6^10 + 18803270728629/43617521307094*c_0110_6^9 + 143950854809955/87235042614188*c_0110_6^8 + 82659285656081/43617521307094*c_0110_6^7 + 120625963722633/87235042614188*c_0110_6^6 + 19814157708640/21808760653547*c_0110_6^5 - 59554877518135/21808760653547*c_0110_6^4 + 13989885178881/43617521307094*c_0110_6^3 + 87613988142883/87235042614188*c_0110_6^2 - 133994366257921/87235042614188*c_0110_6 + 68829479555531/87235042614188, c_0011_4 - 30820270946461/43617521307094*c_0101_5*c_0110_6^12 + 303130644861829/87235042614188*c_0101_5*c_0110_6^11 + 233067331466621/43617521307094*c_0101_5*c_0110_6^10 - 515403520427111/43617521307094*c_0101_5*c_0110_6^9 - 3688294092464193/87235042614188*c_0101_5*c_0110_6^8 - 1661423884605657/43617521307094*c_0101_5*c_0110_6^7 - 2260078953635831/87235042614188*c_0101_5*c_0110_6^6 + 413357169131532/21808760653547*c_0101_5*c_0110_6^5 + 1353165870991882/21808760653547*c_0101_5*c_0110_6^4 - 82376925260327/43617521307094*c_0101_5*c_0110_6^3 - 1227509772550169/87235042614188*c_0101_5*c_0110_6^2 + 905658987697671/87235042614188*c_0101_5*c_0110_6 + 25705678507179/87235042614188*c_0101_5, c_0101_0 + 19742223245463/43617521307094*c_0110_6^12 - 213477033424407/87235042614188*c_0110_6^11 - 97370214819917/43617521307094*c_0110_6^10 + 377430515204453/43617521307094*c_0110_6^9 + 2019040843081123/87235042614188*c_0110_6^8 + 562519997656395/43617521307094*c_0110_6^7 + 790980141578497/87235042614188*c_0110_6^6 - 395434000736262/21808760653547*c_0110_6^5 - 648624561146070/21808760653547*c_0110_6^4 + 750986431166089/43617521307094*c_0110_6^3 + 462996443991023/87235042614188*c_0110_6^2 - 745665690675509/87235042614188*c_0110_6 + 144570229134167/87235042614188, c_0101_1 - 12598959266535/43617521307094*c_0110_6^12 + 136917852936491/87235042614188*c_0110_6^11 + 30026417005587/21808760653547*c_0110_6^10 - 120634243829465/21808760653547*c_0110_6^9 - 1273692360206869/87235042614188*c_0110_6^8 - 342758870985701/43617521307094*c_0110_6^7 - 517343029522945/87235042614188*c_0110_6^6 + 492295762210535/43617521307094*c_0110_6^5 + 810784689818715/43617521307094*c_0110_6^4 - 234445163601687/21808760653547*c_0110_6^3 - 274512816641873/87235042614188*c_0110_6^2 + 485153780591069/87235042614188*c_0110_6 - 89479669885953/87235042614188, c_0101_5^2 + 194591271537/43617521307094*c_0110_6^12 - 6259198023537/87235042614188*c_0110_6^11 + 11183685522957/43617521307094*c_0110_6^10 + 8188823672999/43617521307094*c_0110_6^9 - 58653913673795/87235042614188*c_0110_6^8 - 81555295024957/43617521307094*c_0110_6^7 - 42616304222237/87235042614188*c_0110_6^6 - 32862314952857/21808760653547*c_0110_6^5 + 33705341144617/21808760653547*c_0110_6^4 + 74943751794995/43617521307094*c_0110_6^3 - 154754749399119/87235042614188*c_0110_6^2 + 91266067406141/87235042614188*c_0110_6 - 25875070200591/87235042614188, c_0110_6^13 - 11/2*c_0110_6^12 - 9/2*c_0110_6^11 + 20*c_0110_6^10 + 99/2*c_0110_6^9 + 45/2*c_0110_6^8 + 29/2*c_0110_6^7 - 87/2*c_0110_6^6 - 66*c_0110_6^5 + 45*c_0110_6^4 + 19/2*c_0110_6^3 - 22*c_0110_6^2 + 8*c_0110_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB