Magma V2.19-8 Wed Aug 21 2013 00:10:27 on localhost [Seed = 3549805677] Type ? for help. Type -D to quit. Loading file "K13n2637__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2637 geometric_solution 11.94667617 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 1 0 0 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633540919086 0.830760823854 0 4 6 5 0132 2103 0132 0132 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 0 0 0 0 -1 0 1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761256375994 0.337967269461 3 0 3 7 2103 0132 0213 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 -1 0 1 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 0.665155933435 0.435474578324 8 2 2 0 0132 0213 2103 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.052344490086 0.688965173482 9 1 0 7 0132 2103 0132 3120 0 0 0 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 1 -1 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 0.395894650000 1.479449270312 6 10 1 9 2310 0132 0132 1023 0 0 0 0 0 -1 0 1 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 -2 0 2 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 0.231206991250 0.726440851040 10 8 5 1 2031 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 1 -1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.093945350957 1.113283638685 4 11 2 11 3120 0132 0132 0213 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 -1 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 0.447003814343 0.526996247133 3 12 6 12 0132 0132 2310 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283694958799 1.103420611643 4 12 10 5 0132 1302 3201 1023 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 0 0 0 0 0 2 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.118601682822 1.056423572177 9 5 6 11 2310 0132 1302 3120 0 0 0 0 0 1 0 -1 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 2 0 -2 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720155497954 0.962107871321 10 7 12 7 3120 0132 3120 0213 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 1 -1 0 0 0 0 -2 1 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447003814343 0.526996247133 8 8 11 9 3012 0132 3120 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413898440731 0.637583214357 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0101_1'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : negation(d['c_0011_4']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : 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' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : negation(d['1']), 's_2_1' : 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_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' : 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_1100_8' : d['c_0011_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : 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' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_12'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_9']), 'c_0110_10' : negation(d['c_0101_9']), 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_12'], '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_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], '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_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0101_1']})} 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_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_7, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 35 Groebner basis: [ t - 2436326860035086210229133387372171531983967/53968594823847433428362\ 3346437174485328444*c_1001_0^34 - 160426934049586658784448664324609\ 11806982829/269842974119237167141811673218587242664222*c_1001_0^33 - 91859592666770220154689974762359595090967073/5396859482384743342836\ 23346437174485328444*c_1001_0^32 - 429311317794570524313290046236553961571580705/539685948238474334283\ 623346437174485328444*c_1001_0^31 - 13874319785566904936348840398310658858512551/9304930142042660935924\ 540455813353195318*c_1001_0^30 - 2469189261557509228417785645208550\ 579992375465/539685948238474334283623346437174485328444*c_1001_0^29 - 925173955451833472544448420911842623936757821/1349214870596185835\ 70905836609293621332111*c_1001_0^28 - 2167399109591206310883563606622489277219210398/13492148705961858357\ 0905836609293621332111*c_1001_0^27 - 11193648513847660094701579321433759673910964569/5396859482384743342\ 83623346437174485328444*c_1001_0^26 - 5254060080732606041937892573352707065573332980/13492148705961858357\ 0905836609293621332111*c_1001_0^25 - 1106909329685207672968247650800373304678886039/24531179465385197012\ 891970292598840242202*c_1001_0^24 - 37426399191974404518744650375087071809704882417/5396859482384743342\ 83623346437174485328444*c_1001_0^23 - 259644306310332091280288789694316762294482297/350445420934074243041\ 3138613228405748886*c_1001_0^22 - 213171020017022191869667013039492\ 267081223205/2267588017808715690267324985030144896338*c_1001_0^21 - 25237947414328525856275448379495581555451471293/2698429741192371671\ 41811673218587242664222*c_1001_0^20 - 53511430009258966026086933960410866179507991843/5396859482384743342\ 83623346437174485328444*c_1001_0^19 - 2885501133351203937254953324324585964453626231/31746232249322019663\ 742549790422028548732*c_1001_0^18 - 2030713147734654123247790538214903837053747745/24531179465385197012\ 891970292598840242202*c_1001_0^17 - 18095118982188146282455950350256481360847998195/2698429741192371671\ 41811673218587242664222*c_1001_0^16 - 30368100936433290670125787468313595338105914135/5396859482384743342\ 83623346437174485328444*c_1001_0^15 - 10410509143215922148729145020574134385366407097/2698429741192371671\ 41811673218587242664222*c_1001_0^14 - 4635731754823120164006473145580162317502741087/13492148705961858357\ 0905836609293621332111*c_1001_0^13 - 11370198171274947756161056954418715904504144411/5396859482384743342\ 83623346437174485328444*c_1001_0^12 - 27833076400725916648024655324188872436891545/1260948477192697042718\ 746136535454404973*c_1001_0^11 - 7401349630161180403530331777963004\ 302431457243/539685948238474334283623346437174485328444*c_1001_0^10 - 37102590455686542653045422660468950908715297/27963002499402815247\ 85613193974997333308*c_1001_0^9 - 291354560425248605881118804383330\ 9799577540499/539685948238474334283623346437174485328444*c_1001_0^8 - 251230507949354556175741984232289875659051029/7709799260549633346\ 9089049491024926475492*c_1001_0^7 + 1300610662706416513004604230786194010174008497/53968594823847433428\ 3623346437174485328444*c_1001_0^6 + 1391146560464213456127857806386469126436286543/53968594823847433428\ 3623346437174485328444*c_1001_0^5 + 739491084004908493925721016731562523529431075/269842974119237167141\ 811673218587242664222*c_1001_0^4 + 139743668842259841339336629678951758145331074/134921487059618583570\ 905836609293621332111*c_1001_0^3 - 147881641365427196842834248999322936858869245/134921487059618583570\ 905836609293621332111*c_1001_0^2 - 121664195040947290157158034332461276216233922/134921487059618583570\ 905836609293621332111*c_1001_0 - 2567004143530810818943581006695874\ 7751713557/31746232249322019663742549790422028548732, c_0011_0 - 1, c_0011_10 + 548483149/5837260998*c_1001_0^34 - 1088076767/2918630499*c_1001_0^33 + 472367819/5837260998*c_1001_0^32 - 7059556979/1945753666*c_1001_0^31 - 2283217350/972876833*c_1001_0^30 - 97693785917/5837260998*c_1001_0^29 - 42950275811/2918630499*c_1001_0^28 - 143902224034/2918630499*c_1001_0^27 - 278934887245/5837260998*c_1001_0^26 - 300522379889/2918630499*c_1001_0^25 - 303797599516/2918630499*c_1001_0^24 - 949577282051/5837260998*c_1001_0^23 - 478895780624/2918630499*c_1001_0^22 - 588636343006/2918630499*c_1001_0^21 - 187834328610/972876833*c_1001_0^20 - 1179601574809/5837260998*c_1001_0^19 - 995904074555/5837260998*c_1001_0^18 - 480419508893/2918630499*c_1001_0^17 - 112177489542/972876833*c_1001_0^16 - 218252038169/1945753666*c_1001_0^15 - 64096423077/972876833*c_1001_0^14 - 2322525145/33547477*c_1001_0^13 - 237899707339/5837260998*c_1001_0^12 - 132432878165/2918630499*c_1001_0^11 - 4596232019/201284862*c_1001_0^10 - 2740147019/114456098*c_1001_0^9 - 7107150787/1945753666*c_1001_0^8 - 512357771/114456098*c_1001_0^7 + 44355748655/5837260998*c_1001_0^6 + 20415064991/5837260998*c_1001_0^5 + 5362894132/2918630499*c_1001_0^4 - 1940913133/2918630499*c_1001_0^3 - 1106838488/972876833*c_1001_0^2 - 2374558357/2918630499*c_1001_0 - 2257600371/1945753666, c_0011_11 - 829934647/5837260998*c_1001_0^34 + 845419703/2918630499*c_1001_0^33 - 3163908713/5837260998*c_1001_0^32 + 5701047877/1945753666*c_1001_0^31 + 278738591/1945753666*c_1001_0^30 + 39945376396/2918630499*c_1001_0^29 + 22975843817/2918630499*c_1001_0^28 + 236959855415/5837260998*c_1001_0^27 + 189935396971/5837260998*c_1001_0^26 + 247542794165/2918630499*c_1001_0^25 + 228813253480/2918630499*c_1001_0^24 + 389927990431/2918630499*c_1001_0^23 + 380748313196/2918630499*c_1001_0^22 + 480041784325/2918630499*c_1001_0^21 + 153730663771/972876833*c_1001_0^20 + 953239395019/5837260998*c_1001_0^19 + 820621474169/5837260998*c_1001_0^18 + 382078839788/2918630499*c_1001_0^17 + 89724378107/972876833*c_1001_0^16 + 84273678549/972876833*c_1001_0^15 + 46837076204/972876833*c_1001_0^14 + 1689859958/33547477*c_1001_0^13 + 157785179665/5837260998*c_1001_0^12 + 91911470990/2918630499*c_1001_0^11 + 2861649761/201284862*c_1001_0^10 + 1646157877/114456098*c_1001_0^9 - 68515832/972876833*c_1001_0^8 - 38441515/57228049*c_1001_0^7 - 51865589195/5837260998*c_1001_0^6 - 21489476266/2918630499*c_1001_0^5 - 13305232079/5837260998*c_1001_0^4 - 11054500447/5837260998*c_1001_0^3 + 1192225213/972876833*c_1001_0^2 - 1761474008/2918630499*c_1001_0 + 1362460759/972876833, c_0011_12 + c_1001_0^2 + 1, c_0011_4 - 295391276/2918630499*c_1001_0^34 + 690432872/2918630499*c_1001_0^33 - 1070972899/2918630499*c_1001_0^32 + 2276559669/972876833*c_1001_0^31 + 312115894/972876833*c_1001_0^30 + 31795577497/2918630499*c_1001_0^29 + 19757815679/2918630499*c_1001_0^28 + 94211345041/2918630499*c_1001_0^27 + 78841666916/2918630499*c_1001_0^26 + 197695864919/2918630499*c_1001_0^25 + 189201550357/2918630499*c_1001_0^24 + 314461292311/2918630499*c_1001_0^23 + 316802955734/2918630499*c_1001_0^22 + 394687387360/2918630499*c_1001_0^21 + 130220568051/972876833*c_1001_0^20 + 404017991591/2918630499*c_1001_0^19 + 360809985574/2918630499*c_1001_0^18 + 339226928216/2918630499*c_1001_0^17 + 85938160975/972876833*c_1001_0^16 + 79959381720/972876833*c_1001_0^15 + 52744766585/972876833*c_1001_0^14 + 1765428828/33547477*c_1001_0^13 + 104883042566/2918630499*c_1001_0^12 + 105010727003/2918630499*c_1001_0^11 + 2301437026/100642431*c_1001_0^10 + 1193561917/57228049*c_1001_0^9 + 9274437543/972876833*c_1001_0^8 + 354773144/57228049*c_1001_0^7 + 483441263/2918630499*c_1001_0^6 - 4055049631/2918630499*c_1001_0^5 + 6358553327/2918630499*c_1001_0^4 - 114774278/2918630499*c_1001_0^3 + 1852581412/972876833*c_1001_0^2 + 1196476102/2918630499*c_1001_0 + 2213330788/972876833, c_0011_6 + 350698987/5837260998*c_1001_0^34 - 823999004/2918630499*c_1001_0^33 + 161142683/5837260998*c_1001_0^32 - 5139301037/1945753666*c_1001_0^31 - 1614868752/972876833*c_1001_0^30 - 69666738563/5837260998*c_1001_0^29 - 29349310430/2918630499*c_1001_0^28 - 100911650209/2918630499*c_1001_0^27 - 188911630477/5837260998*c_1001_0^26 - 207586252601/2918630499*c_1001_0^25 - 205696529209/2918630499*c_1001_0^24 - 645614530691/5837260998*c_1001_0^23 - 325089348308/2918630499*c_1001_0^22 - 393352071910/2918630499*c_1001_0^21 - 127974499448/972876833*c_1001_0^20 - 774503696431/5837260998*c_1001_0^19 - 677132607587/5837260998*c_1001_0^18 - 310816749533/2918630499*c_1001_0^17 - 75074543970/972876833*c_1001_0^16 - 139715124211/1945753666*c_1001_0^15 - 41163471398/972876833*c_1001_0^14 - 1447295449/33547477*c_1001_0^13 - 151786530049/5837260998*c_1001_0^12 - 76378422419/2918630499*c_1001_0^11 - 3226793525/201284862*c_1001_0^10 - 1392526629/114456098*c_1001_0^9 - 9858696335/1945753666*c_1001_0^8 - 168915493/114456098*c_1001_0^7 + 15082464323/5837260998*c_1001_0^6 + 10926230897/5837260998*c_1001_0^5 - 2771643218/2918630499*c_1001_0^4 - 672215158/2918630499*c_1001_0^3 - 1792729285/972876833*c_1001_0^2 - 1509989569/2918630499*c_1001_0 - 3909446031/1945753666, c_0101_0 + c_1001_0^5 + 2*c_1001_0^3 + c_1001_0, c_0101_1 + c_1001_0^4 + c_1001_0^2 + 1, c_0101_11 + 216082622/2918630499*c_1001_0^34 - 1157313524/2918630499*c_1001_0^33 - 273166847/2918630499*c_1001_0^32 - 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