Magma V2.19-8 Wed Aug 21 2013 00:57:13 on localhost [Seed = 2134468005] Type ? for help. Type -D to quit. Loading file "L13n3935__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3935 geometric_solution 11.91846510 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 -1 0 1 -1 0 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 -5 1 4 -5 0 5 0 1 0 0 -1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202597607356 1.262027301743 0 5 6 3 0132 0132 0132 0321 1 1 0 1 0 0 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 0 0 0 0 0 0 1 -1 5 0 -5 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.343391857965 0.957239133120 5 0 8 7 0132 0132 0132 0132 1 1 0 1 0 1 -1 0 1 0 -1 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 5 -5 0 4 0 -4 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.084725835187 0.661735459495 8 1 7 0 2031 0321 2031 0132 1 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 0 0 0 0 1 0 -1 5 0 0 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.040259764846 0.919473264712 9 6 0 10 0132 3120 0132 0132 1 1 1 1 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 4 -4 0 0 0 0 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 0.365491569316 0.423783350040 2 1 11 10 0132 0132 0132 0321 1 1 1 0 0 0 0 0 -1 0 0 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 -4 0 0 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354630196397 1.097258890199 10 4 12 1 0321 3120 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 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 0 -1 -5 0 0 5 0 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148209236726 1.188781482912 12 11 2 3 2103 0132 0132 1302 1 1 1 0 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 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394871447785 0.823004020274 9 12 3 2 3120 2103 1302 0132 1 1 1 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 -5 5 -4 0 0 4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.412207094614 1.453995474480 4 11 12 8 0132 2031 3201 3120 0 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 1 0 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941380153478 0.989685145832 6 5 4 11 0321 0321 0132 3012 1 1 1 1 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 0 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648311787676 0.818021550999 9 7 10 5 1302 0132 1230 0132 1 1 0 1 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 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508302153879 0.563619539344 9 8 7 6 2310 2103 2103 0132 1 1 1 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 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563310926824 0.952319861860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_2']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_4']), '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_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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : negation(d['c_1001_11']), 'c_1100_3' : negation(d['c_1001_11']), 'c_1100_2' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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_0110_7']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], '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' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0011_12'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_12'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0011_12'], 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], '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_0011_6, c_0101_10, c_0101_12, c_0101_3, c_0110_7, c_1001_0, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 135630931862459906846609/62361994450085272800*c_1001_2^12 - 80248130386783745859709/3464555247226959600*c_1001_2^11 + 6679956336141549119383111/62361994450085272800*c_1001_2^10 - 1695788423419115935690369/4797076496160405600*c_1001_2^9 + 1555953950969383367221747/1948812326565164775*c_1001_2^8 - 3979877766122589318432073/2598416435420219700*c_1001_2^7 + 141235714912221084994425919/62361994450085272800*c_1001_2^6 - 22733903097227950528735163/7795249306260659100*c_1001_2^5 + 18027241909229307423544159/6236199445008527280*c_1001_2^4 - 135230496320699967065038913/62361994450085272800*c_1001_2^3 + 11360452997651601601173811/10393665741680878800*c_1001_2^2 - 157035219236067350326717/458544076838862300*c_1001_2 + 295761732031484376885313/7795249306260659100, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 228364313123/365424722044*c_1001_2^12 + 2458053472671/365424722044*c_1001_2^11 - 11429159048377/365424722044*c_1001_2^10 + 18720626535911/182712361022*c_1001_2^9 - 83971185149807/365424722044*c_1001_2^8 + 78867182853193/182712361022*c_1001_2^7 - 230419252271829/365424722044*c_1001_2^6 + 287190783595215/365424722044*c_1001_2^5 - 69451717839877/91356180511*c_1001_2^4 + 191074635649349/365424722044*c_1001_2^3 - 82244449245079/365424722044*c_1001_2^2 + 4861637988828/91356180511*c_1001_2 - 416458056362/91356180511, c_0011_12 + 16001696499/365424722044*c_1001_2^12 - 242500464059/365424722044*c_1001_2^11 + 1524222195389/365424722044*c_1001_2^10 - 2895989419393/182712361022*c_1001_2^9 + 15832728244987/365424722044*c_1001_2^8 - 15944746982051/182712361022*c_1001_2^7 + 53926088811485/365424722044*c_1001_2^6 - 71549135387067/365424722044*c_1001_2^5 + 20160959534995/91356180511*c_1001_2^4 - 66794324240741/365424722044*c_1001_2^3 + 35465021020443/365424722044*c_1001_2^2 - 2604848424474/91356180511*c_1001_2 + 300617636890/91356180511, c_0011_4 - 63615819299/365424722044*c_1001_2^12 + 674825010815/365424722044*c_1001_2^11 - 3110345882369/365424722044*c_1001_2^10 + 5133805279633/182712361022*c_1001_2^9 - 23186267328459/365424722044*c_1001_2^8 + 22349153901945/182712361022*c_1001_2^7 - 66303753021821/365424722044*c_1001_2^6 + 86230539222007/365424722044*c_1001_2^5 - 21555948240037/91356180511*c_1001_2^4 + 66518389058369/365424722044*c_1001_2^3 - 35373010642511/365424722044*c_1001_2^2 + 3162461318272/91356180511*c_1001_2 - 494883533491/91356180511, c_0011_6 + 27785691789/365424722044*c_1001_2^12 - 273162006089/365424722044*c_1001_2^11 + 1126269731735/365424722044*c_1001_2^10 - 1706061922871/182712361022*c_1001_2^9 + 6651964848465/365424722044*c_1001_2^8 - 5903832726319/182712361022*c_1001_2^7 + 14684609777859/365424722044*c_1001_2^6 - 16928385169213/365424722044*c_1001_2^5 + 3127695390568/91356180511*c_1001_2^4 - 4672842000667/365424722044*c_1001_2^3 - 22917353075/365424722044*c_1001_2^2 + 294960162162/91356180511*c_1001_2 - 76823022639/91356180511, c_0101_10 - 27753895835/182712361022*c_1001_2^12 + 150728871073/91356180511*c_1001_2^11 - 712262485246/91356180511*c_1001_2^10 + 4750642020163/182712361022*c_1001_2^9 - 10929992791433/182712361022*c_1001_2^8 + 21026920572645/182712361022*c_1001_2^7 - 31629641642671/182712361022*c_1001_2^6 + 20338891746028/91356180511*c_1001_2^5 - 41172061716257/182712361022*c_1001_2^4 + 30925547899517/182712361022*c_1001_2^3 - 7979133218180/91356180511*c_1001_2^2 + 4750964433807/182712361022*c_1001_2 - 288227735826/91356180511, c_0101_12 + 46589779651/365424722044*c_1001_2^12 - 573561212389/365424722044*c_1001_2^11 + 3048329991235/365424722044*c_1001_2^10 - 2661383926754/91356180511*c_1001_2^9 + 26366557341867/365424722044*c_1001_2^8 - 12660313424536/91356180511*c_1001_2^7 + 80239228402433/365424722044*c_1001_2^6 - 101298531884757/365424722044*c_1001_2^5 + 53626594298401/182712361022*c_1001_2^4 - 78917725564557/365424722044*c_1001_2^3 + 36850260526973/365424722044*c_1001_2^2 - 4004114023333/182712361022*c_1001_2 + 138781468866/91356180511, c_0101_3 - 11402452202/91356180511*c_1001_2^12 + 117055195955/91356180511*c_1001_2^11 - 516576468159/91356180511*c_1001_2^10 + 1656493369729/91356180511*c_1001_2^9 - 3566025363053/91356180511*c_1001_2^8 + 6722623395604/91356180511*c_1001_2^7 - 9474293436125/91356180511*c_1001_2^6 + 11973718841459/91356180511*c_1001_2^5 - 11165274838922/91356180511*c_1001_2^4 + 7805433882223/91356180511*c_1001_2^3 - 3625147555295/91356180511*c_1001_2^2 + 1014730630347/91356180511*c_1001_2 - 99687400109/91356180511, c_0110_7 + 17354181187/182712361022*c_1001_2^12 - 97050904007/91356180511*c_1001_2^11 + 470481571088/91356180511*c_1001_2^10 - 3150719423193/182712361022*c_1001_2^9 + 7333192161395/182712361022*c_1001_2^8 - 13918950862231/182712361022*c_1001_2^7 + 21067500830151/182712361022*c_1001_2^6 - 13223813976215/91356180511*c_1001_2^5 + 26819257676073/182712361022*c_1001_2^4 - 19155986550031/182712361022*c_1001_2^3 + 4507388121852/91356180511*c_1001_2^2 - 2160008333781/182712361022*c_1001_2 + 41739955444/91356180511, c_1001_0 - 3865956855/91356180511*c_1001_2^12 + 27712721478/91356180511*c_1001_2^11 - 48267374300/91356180511*c_1001_2^10 - 15018122181/91356180511*c_1001_2^9 + 642975885576/91356180511*c_1001_2^8 - 1746257457007/91356180511*c_1001_2^7 + 4171618269953/91356180511*c_1001_2^6 - 6335476543638/91356180511*c_1001_2^5 + 8755594033042/91356180511*c_1001_2^4 - 8784383049136/91356180511*c_1001_2^3 + 5699696263091/91356180511*c_1001_2^2 - 1807744754501/91356180511*c_1001_2 + 192866959411/91356180511, c_1001_11 + 25508987575/182712361022*c_1001_2^12 - 282640697515/182712361022*c_1001_2^11 + 1359301985883/182712361022*c_1001_2^10 - 2273019930409/91356180511*c_1001_2^9 + 10541989616621/182712361022*c_1001_2^8 - 10047230418327/91356180511*c_1001_2^7 + 30364346092549/182712361022*c_1001_2^6 - 38447330039675/182712361022*c_1001_2^5 + 19505544419724/91356180511*c_1001_2^4 - 28300534390181/182712361022*c_1001_2^3 + 13808792487805/182712361022*c_1001_2^2 - 1788328461411/91356180511*c_1001_2 + 160863566413/91356180511, c_1001_2^13 - 11*c_1001_2^12 + 53*c_1001_2^11 - 180*c_1001_2^10 + 425*c_1001_2^9 - 836*c_1001_2^8 + 1295*c_1001_2^7 - 1719*c_1001_2^6 + 1818*c_1001_2^5 - 1487*c_1001_2^4 + 875*c_1001_2^3 - 350*c_1001_2^2 + 80*c_1001_2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB