Magma V2.19-8 Wed Aug 21 2013 00:56:54 on localhost [Seed = 54860248] Type ? for help. Type -D to quit. Loading file "L13n3073__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3073 geometric_solution 12.04595343 oriented_manifold CS_known -0.0000000000000001 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 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 1 0 -1 1 0 0 -1 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599534665052 0.936195158176 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -1 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 0 0 0 -1 0 8 -7 0 -1 0 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784442313542 0.836032683975 8 0 9 4 0132 0132 0132 1023 1 1 0 1 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 -1 0 1 -1 0 0 1 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680009846723 0.768514920140 10 11 9 0 0132 0132 1023 0132 1 1 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 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040734960269 0.741274677083 10 5 0 2 3120 1230 0132 1023 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 1 -1 0 0 1 -1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.041058652473 0.970803908700 6 1 4 8 3012 0132 3012 1023 1 1 1 0 0 0 1 -1 0 0 0 0 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 0 7 -7 0 0 0 0 7 -7 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642038872475 0.553308279571 12 10 1 5 0132 0132 0132 1230 1 1 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 7 -7 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008113634679 0.798889660443 12 9 8 1 2103 1023 0213 0132 1 1 1 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.084769965311 0.871453394873 2 7 11 5 0132 0213 0132 1023 1 1 1 0 0 0 0 0 0 0 -1 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 1 0 -8 7 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567297828408 0.448960898521 7 11 3 2 1023 0213 1023 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 8 0 -8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217147598400 1.195602648264 3 6 12 4 0132 0132 0132 3120 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366716763338 1.242922670036 12 3 9 8 1023 0132 0213 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.444852711275 1.500553411129 6 11 7 10 0132 1023 2103 0132 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 0 0 0 0 0 0 0.272986620770 0.561750824143 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : d['c_0101_0'], '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' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_2'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0110_5'], 's_3_1' : negation(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_0101_1']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_5'], '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_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_0']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_9, c_0110_5, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 323149100724530786511151/967068988339593035308916*c_1100_0^11 + 5543155006760517736364167/967068988339593035308916*c_1100_0^10 + 234828611972137043931535/19736101802848837455284*c_1100_0^9 - 438059540499125639940677/11651433594452928136252*c_1100_0^8 + 210807787186319720434763/3807358221809421398854*c_1100_0^7 - 856184007935366464610233/11244988236506895759406*c_1100_0^6 + 45646113127572787984494321/967068988339593035308916*c_1100_0^5 - 30397707204969862860360837/967068988339593035308916*c_1100_0^4 - 13148727308452891176387615/967068988339593035308916*c_1100_0^3 + 18342564073687183071226265/967068988339593035308916*c_1100_0^2 + 13220888936114241653650151/967068988339593035308916*c_1100_0 - 6973855351589515678096299/967068988339593035308916, c_0011_0 - 1, c_0011_10 + 466680269052682/28073308326152257*c_1100_0^11 - 8022423575347261/28073308326152257*c_1100_0^10 - 15953715964717994/28073308326152257*c_1100_0^9 + 47152864531614873/28073308326152257*c_1100_0^8 - 98813864577173415/28073308326152257*c_1100_0^7 + 142552383004662679/28073308326152257*c_1100_0^6 - 67643810349065571/28073308326152257*c_1100_0^5 + 11695395830904298/4010472618021751*c_1100_0^4 + 1389127974538448/572924659717393*c_1100_0^3 - 57472263396331839/28073308326152257*c_1100_0^2 + 40449731231834944/28073308326152257*c_1100_0 + 18785114612089218/28073308326152257, c_0011_4 - 15292535601880310/172450322574935293*c_1100_0^11 + 260235729871070844/172450322574935293*c_1100_0^10 + 577292063280848660/172450322574935293*c_1100_0^9 - 1593581183934633728/172450322574935293*c_1100_0^8 + 2393963021725992046/172450322574935293*c_1100_0^7 - 83694971465140116/4010472618021751*c_1100_0^6 + 1913612179338783911/172450322574935293*c_1100_0^5 - 307586400501866974/24635760367847899*c_1100_0^4 - 126127713616179975/24635760367847899*c_1100_0^3 + 79973409506335328/172450322574935293*c_1100_0^2 - 19429551166146304/172450322574935293*c_1100_0 - 422159048561863525/172450322574935293, c_0011_7 + 650594084278014/172450322574935293*c_1100_0^11 - 11256085582959386/172450322574935293*c_1100_0^10 - 19473856414612143/172450322574935293*c_1100_0^9 + 45532791545789857/172450322574935293*c_1100_0^8 - 256963587479059738/172450322574935293*c_1100_0^7 + 4788815671461712/4010472618021751*c_1100_0^6 - 66072958448274131/172450322574935293*c_1100_0^5 + 47967989011069440/24635760367847899*c_1100_0^4 + 32392246211219883/24635760367847899*c_1100_0^3 + 234106784640908212/172450322574935293*c_1100_0^2 + 165100146331043865/172450322574935293*c_1100_0 + 262620138763013295/172450322574935293, c_0101_0 - 1531764366548782/172450322574935293*c_1100_0^11 + 26095584925983903/172450322574935293*c_1100_0^10 + 59360589702571939/172450322574935293*c_1100_0^9 - 194037893324276093/172450322574935293*c_1100_0^8 + 144721871569104050/172450322574935293*c_1100_0^7 - 5174713815927735/4010472618021751*c_1100_0^6 - 8237685532573241/172450322574935293*c_1100_0^5 + 33259105424872712/24635760367847899*c_1100_0^4 - 35914745092384686/24635760367847899*c_1100_0^3 + 386518941889250165/172450322574935293*c_1100_0^2 + 53217048009035851/172450322574935293*c_1100_0 + 23032728996962204/172450322574935293, c_0101_1 - 1, c_0101_2 - 3612185874112883/24635760367847899*c_1100_0^11 + 61488478413816207/24635760367847899*c_1100_0^10 + 136043935783609810/24635760367847899*c_1100_0^9 - 377944738099261454/24635760367847899*c_1100_0^8 + 576962607682642154/24635760367847899*c_1100_0^7 - 19231394300162451/572924659717393*c_1100_0^6 + 396889894685392026/24635760367847899*c_1100_0^5 - 433171928425261055/24635760367847899*c_1100_0^4 - 323260449372791467/24635760367847899*c_1100_0^3 + 59022792266377098/24635760367847899*c_1100_0^2 - 39929019525816808/24635760367847899*c_1100_0 - 147851363627846433/24635760367847899, c_0101_3 - 129842092891935/172450322574935293*c_1100_0^11 + 4433395877277775/172450322574935293*c_1100_0^10 - 31698217408889273/172450322574935293*c_1100_0^9 - 119125605044831877/172450322574935293*c_1100_0^8 + 211554712595052611/172450322574935293*c_1100_0^7 - 4731561564418924/4010472618021751*c_1100_0^6 + 375837220594904209/172450322574935293*c_1100_0^5 - 12843556474314285/24635760367847899*c_1100_0^4 + 15521876225964065/24635760367847899*c_1100_0^3 + 157811706938326081/172450322574935293*c_1100_0^2 - 55678540037345387/172450322574935293*c_1100_0 - 65049326996146587/172450322574935293, c_0101_5 + 6404368798652324/172450322574935293*c_1100_0^11 - 108390858425743521/172450322574935293*c_1100_0^10 - 250699268241865636/172450322574935293*c_1100_0^9 + 625806315268245389/172450322574935293*c_1100_0^8 - 995008898654345000/172450322574935293*c_1100_0^7 + 35094820972200524/4010472618021751*c_1100_0^6 - 805042574667330768/172450322574935293*c_1100_0^5 + 142062107505813673/24635760367847899*c_1100_0^4 + 83978564253203815/24635760367847899*c_1100_0^3 + 87845491106106409/172450322574935293*c_1100_0^2 + 161750003628892790/172450322574935293*c_1100_0 + 154988051929679371/172450322574935293, c_0101_9 + 5781152263997492/172450322574935293*c_1100_0^11 - 97790615039136399/172450322574935293*c_1100_0^10 - 227681313808884834/172450322574935293*c_1100_0^9 + 570715745925662815/172450322574935293*c_1100_0^8 - 867954887959397386/172450322574935293*c_1100_0^7 + 30914619534165756/4010472618021751*c_1100_0^6 - 636805088046231322/172450322574935293*c_1100_0^5 + 117648485861809657/24635760367847899*c_1100_0^4 + 56695773445119658/24635760367847899*c_1100_0^3 - 105944257127327721/172450322574935293*c_1100_0^2 + 89105274825177577/172450322574935293*c_1100_0 + 157633090783504857/172450322574935293, c_0110_5 - 2015036410624434/24635760367847899*c_1100_0^11 + 34244122054745727/24635760367847899*c_1100_0^10 + 76966430175281822/24635760367847899*c_1100_0^9 - 210520412148135914/24635760367847899*c_1100_0^8 + 311864094441907498/24635760367847899*c_1100_0^7 - 10236817453173380/572924659717393*c_1100_0^6 + 192842899423216396/24635760367847899*c_1100_0^5 - 217036763347436313/24635760367847899*c_1100_0^4 - 199741204158434468/24635760367847899*c_1100_0^3 + 39060236702637063/24635760367847899*c_1100_0^2 - 18188342065298368/24635760367847899*c_1100_0 - 81071584011587947/24635760367847899, c_1001_2 + 1651985670831097/24635760367847899*c_1100_0^11 - 27909055637657137/24635760367847899*c_1100_0^10 - 65734773285433883/24635760367847899*c_1100_0^9 + 163330073976314998/24635760367847899*c_1100_0^8 - 245162697174243691/24635760367847899*c_1100_0^7 + 8287474264849269/572924659717393*c_1100_0^6 - 136972163373335610/24635760367847899*c_1100_0^5 + 191803241751939760/24635760367847899*c_1100_0^4 + 153260807700628951/24635760367847899*c_1100_0^3 + 4481485330139503/24635760367847899*c_1100_0^2 - 1924452196338378/24635760367847899*c_1100_0 + 62723434364037596/24635760367847899, c_1100_0^12 - 17*c_1100_0^11 - 38*c_1100_0^10 + 103*c_1100_0^9 - 159*c_1100_0^8 + 230*c_1100_0^7 - 113*c_1100_0^6 + 131*c_1100_0^5 + 84*c_1100_0^4 - c_1100_0^3 + 8*c_1100_0^2 + 43*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.430 Total time: 0.640 seconds, Total memory usage: 32.09MB