Magma V2.19-8 Wed Aug 21 2013 00:56:59 on localhost [Seed = 2884481405] Type ? for help. Type -D to quit. Loading file "L13n3252__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3252 geometric_solution 12.53400854 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 -1 0 1 0 0 -2 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523025970767 1.030909782669 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329278697799 0.742816742115 8 0 10 9 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 0 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 0.523025970767 1.030909782669 5 11 10 0 2103 0132 0321 0132 1 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028215444345 0.915058578889 9 6 0 7 0132 0132 0132 0132 1 1 1 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 -1 1 2 0 -2 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 0.606937948726 0.694314213508 8 1 3 6 1023 0132 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.228211191968 1.110257381283 5 4 1 10 3120 0132 0132 0321 1 1 0 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867323346141 0.806661117217 12 11 4 1 0132 3012 0132 0132 1 1 0 1 0 0 0 0 -1 0 0 1 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 1 -1 0 -3 0 0 3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672776980752 0.825130327765 2 5 12 11 0132 1023 0132 0213 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 1 0 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 0.329278697799 0.742816742115 4 11 2 12 0132 0213 0132 0132 1 1 0 1 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 0 1 -1 -2 0 -1 3 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606937948726 0.694314213508 12 6 3 2 1230 0321 0321 0132 1 1 0 1 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 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028215444345 0.915058578889 7 3 9 8 1230 0132 0213 0213 1 0 1 1 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 -1 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381786846398 0.574974160884 7 10 9 8 0132 3012 0132 0132 1 1 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 -1 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672776980752 0.825130327765 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_10'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1001_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_3'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_0, c_1001_10, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 4933976355372709201000/196420289138778716011*c_1001_3^11 + 367015901532774145668/460000677139996993*c_1001_3^10 - 161169380391468476711500/15109253010675285847*c_1001_3^9 - 88667819152218714601730/4008577329362830939*c_1001_3^8 + 726938826982173695894391/196420289138778716011*c_1001_3^7 + 719743635221992724287603/28060041305539816573*c_1001_3^6 + 9787794861713456612894990/196420289138778716011*c_1001_3^5 - 2522163259341028459673404/196420289138778716011*c_1001_3^4 - 114692135394049117689328/3329157443030147729*c_1001_3^3 - 1446088828890652037391519/196420289138778716011*c_1001_3^2 + 1295847946055433274307344/196420289138778716011*c_1001_3 + 14282885382474009903232/17856389921707156001, c_0011_0 - 1, c_0011_10 + 3547085096918013707/2382720790180703705*c_1001_3^11 - 118741529179028501692/2382720790180703705*c_1001_3^10 + 1711115279176185042409/2382720790180703705*c_1001_3^9 + 144082336585404870259/2382720790180703705*c_1001_3^8 - 75183558841804200517/2382720790180703705*c_1001_3^7 - 711314108957174715625/476544158036140741*c_1001_3^6 - 56187946576210444071/140160046481217865*c_1001_3^5 + 2039831262464480310933/2382720790180703705*c_1001_3^4 + 21052925219978306693/40385098138655995*c_1001_3^3 - 51486362859314937792/476544158036140741*c_1001_3^2 - 157072565346720707201/2382720790180703705*c_1001_3 - 14092246484824608979/2382720790180703705, c_0011_11 - 41985645516476223/28032009296243573*c_1001_3^11 + 1401746098503347025/28032009296243573*c_1001_3^10 - 20126872240203522868/28032009296243573*c_1001_3^9 - 3559511176356479220/28032009296243573*c_1001_3^8 + 1335131018717076660/28032009296243573*c_1001_3^7 + 42263490679355817044/28032009296243573*c_1001_3^6 + 15207657573023127608/28032009296243573*c_1001_3^5 - 24263181311892926481/28032009296243573*c_1001_3^4 - 291148376889899130/475118801631247*c_1001_3^3 + 2236580513691790324/28032009296243573*c_1001_3^2 + 2396601599612562821/28032009296243573*c_1001_3 + 245535403828683253/28032009296243573, c_0011_12 + 4642645962589243432/2382720790180703705*c_1001_3^11 - 155693682868467411797/2382720790180703705*c_1001_3^10 + 2248892812755822558969/2382720790180703705*c_1001_3^9 + 54950725412553193504/2382720790180703705*c_1001_3^8 - 111148123278157079047/2382720790180703705*c_1001_3^7 - 934844119471929932807/476544158036140741*c_1001_3^6 - 58195572543133013671/140160046481217865*c_1001_3^5 + 2729897336690353217643/2382720790180703705*c_1001_3^4 + 25499221580582021343/40385098138655995*c_1001_3^3 - 82017494122017702807/476544158036140741*c_1001_3^2 - 182691137180032858206/2382720790180703705*c_1001_3 - 13413304716828788139/2382720790180703705, c_0011_4 + 4842205106723/6112471339285*c_1001_3^11 - 162949250410698/6112471339285*c_1001_3^10 + 2364585399153241/6112471339285*c_1001_3^9 - 220206985892279/6112471339285*c_1001_3^8 - 53629887707008/6112471339285*c_1001_3^7 - 978479247030406/1222494267857*c_1001_3^6 - 27811010596519/359557137605*c_1001_3^5 + 2818375206464482/6112471339285*c_1001_3^4 + 1266310832035993/6112471339285*c_1001_3^3 - 102868298187837/1222494267857*c_1001_3^2 - 117067108213904/6112471339285*c_1001_3 - 10167988274451/6112471339285, c_0101_0 - 1, c_0101_1 + 991481396300452588/2382720790180703705*c_1001_3^11 - 33094028677187303428/2382720790180703705*c_1001_3^10 + 474979863164201246676/2382720790180703705*c_1001_3^9 + 89433893695174144566/2382720790180703705*c_1001_3^8 - 53477901178058256223/2382720790180703705*c_1001_3^7 - 202045264705742764154/476544158036140741*c_1001_3^6 - 22286802673283761769/140160046481217865*c_1001_3^5 + 603163983828770496477/2382720790180703705*c_1001_3^4 + 7343480213352411742/40385098138655995*c_1001_3^3 - 11591422331957556532/476544158036140741*c_1001_3^2 - 60563169076836058139/2382720790180703705*c_1001_3 - 4713369682388953081/2382720790180703705, c_0101_10 + 109112338824933/28032009296243573*c_1001_3^11 - 6235961926652921/28032009296243573*c_1001_3^10 + 139152095707013100/28032009296243573*c_1001_3^9 - 1243368493514554707/28032009296243573*c_1001_3^8 - 77616794854564618/28032009296243573*c_1001_3^7 - 218668602345389717/28032009296243573*c_1001_3^6 + 2425921282592540647/28032009296243573*c_1001_3^5 + 584366863668017593/28032009296243573*c_1001_3^4 - 20779677271685634/475118801631247*c_1001_3^3 - 686004329740789912/28032009296243573*c_1001_3^2 + 222208843631057490/28032009296243573*c_1001_3 + 54954022589832128/28032009296243573, c_0101_7 + 1956746834237562/28032009296243573*c_1001_3^11 - 75744244758291320/28032009296243573*c_1001_3^10 + 1288990181659237885/28032009296243573*c_1001_3^9 - 4936067252775269579/28032009296243573*c_1001_3^8 + 638201391930926780/28032009296243573*c_1001_3^7 - 1850792577687224834/28032009296243573*c_1001_3^6 + 9768324462382027107/28032009296243573*c_1001_3^5 + 1685721162055238576/28032009296243573*c_1001_3^4 - 90944619137213754/475118801631247*c_1001_3^3 - 2464111962291408528/28032009296243573*c_1001_3^2 + 1148963960342207534/28032009296243573*c_1001_3 + 175412675237619429/28032009296243573, c_1001_0 + 45289769701952242/28032009296243573*c_1001_3^11 - 1518624043373319034/28032009296243573*c_1001_3^10 + 21931877073171383246/28032009296243573*c_1001_3^9 + 628178510229789653/28032009296243573*c_1001_3^8 - 1058725333957805251/28032009296243573*c_1001_3^7 - 45644060211907385948/28032009296243573*c_1001_3^6 - 9920791182873772286/28032009296243573*c_1001_3^5 + 26498480854809957211/28032009296243573*c_1001_3^4 + 251070282566929609/475118801631247*c_1001_3^3 - 3749742565019721512/28032009296243573*c_1001_3^2 - 1754473858311600209/28032009296243573*c_1001_3 - 168204346249003964/28032009296243573, c_1001_10 + 10378556023615135/28032009296243573*c_1001_3^11 - 354345865206087968/28032009296243573*c_1001_3^10 + 5239591078263040316/28032009296243573*c_1001_3^9 - 2964311430543901943/28032009296243573*c_1001_3^8 + 229007489481485078/28032009296243573*c_1001_3^7 - 10465012508226027307/28032009296243573*c_1001_3^6 + 4045941127782396297/28032009296243573*c_1001_3^5 + 6261652142346140762/28032009296243573*c_1001_3^4 - 4484872579890534/475118801631247*c_1001_3^3 - 2182126739227878005/28032009296243573*c_1001_3^2 + 391551916491588176/28032009296243573*c_1001_3 + 67401900196633135/28032009296243573, c_1001_2 - 1662494061992742016/2382720790180703705*c_1001_3^11 + 55431459041212007761/2382720790180703705*c_1001_3^10 - 794478003599277692232/2382720790180703705*c_1001_3^9 - 177309724875412019407/2382720790180703705*c_1001_3^8 + 65599081866764650921/2382720790180703705*c_1001_3^7 + 336266204456032367268/476544158036140741*c_1001_3^6 + 39948551121821274848/140160046481217865*c_1001_3^5 - 967533116162480069254/2382720790180703705*c_1001_3^4 - 12483791764163811849/40385098138655995*c_1001_3^3 + 14772677784432508305/476544158036140741*c_1001_3^2 + 107913182350584979868/2382720790180703705*c_1001_3 + 11580330029209396937/2382720790180703705, c_1001_3^12 - 34*c_1001_3^11 + 500*c_1001_3^10 - 214*c_1001_3^9 - 17*c_1001_3^8 - 997*c_1001_3^7 + 254*c_1001_3^6 + 662*c_1001_3^5 + 49*c_1001_3^4 - 223*c_1001_3^3 + 7*c_1001_3^2 + 12*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.600 seconds, Total memory usage: 32.09MB