Magma V2.19-8 Wed Aug 21 2013 01:02:51 on localhost [Seed = 2193922409] Type ? for help. Type -D to quit. Loading file "L14n15926__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15926 geometric_solution 11.12360009 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 -1 0 1 0 0 0 0 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263230565232 0.589096117147 0 4 4 5 0132 0132 1302 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 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 0.130483194384 0.729182555319 0 0 4 6 3012 0132 0132 0132 1 1 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 0 -1 -1 0 1 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827957870372 0.662007330354 7 8 9 0 0132 0132 0132 0132 1 1 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 10 -11 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710334834688 0.413977056175 1 1 6 2 2031 0132 1230 0132 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 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762210074110 1.328847493416 8 10 1 6 2031 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253695802940 1.123638063047 11 5 2 4 0132 1302 0132 3012 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 0 0 0 0 0 0 0 0 1 -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 1.344391984128 0.530039221508 3 10 12 10 0132 0213 0132 1230 1 1 1 1 0 1 0 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 10 0 -10 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414875694622 0.796106023176 9 3 5 12 0132 0132 1302 1230 1 1 1 1 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 0 0 0 0 0 0 0 -11 0 0 11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921823219219 0.471385372332 8 12 11 3 0132 1230 1230 0132 1 1 1 1 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 0 0 0 0 0 0 0 11 -11 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.454574852459 0.452020515785 7 5 7 11 3012 0132 0213 3012 1 1 1 1 0 0 -1 1 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 -10 10 10 0 -10 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254952827157 0.373806140455 6 12 10 9 0132 3120 1230 3012 1 1 1 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 11 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299574115900 0.873707541743 8 11 9 7 3012 3120 3012 0132 1 1 1 1 0 -1 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 -11 11 0 0 0 0 0 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302758142185 1.525729802478 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0110_5'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0101_11']), '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' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : 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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0101_0'], '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' : negation(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_0110_10'], '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' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_11']})} 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_3, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0110_10, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 4200157216043983176583637967155541/34233900684435378099629465973790\ 4*c_0110_5^9 - 29988255803976658198040564130528923/2139618792777211\ 1312268416233619*c_0110_5^8 + 20143753561739205818963442238574717/1\ 570362416717219178882085595128*c_0110_5^7 - 63777257550652723922207460871026009/2445278620316812721402104712413\ 6*c_0110_5^6 + 2616597155655160235453162586340500971/85584751711088\ 445249073664934476*c_0110_5^5 + 10702125208751805871686272983637539\ /21396187927772111312268416233619*c_0110_5^4 - 3441753307356651645838539900007031947/85584751711088445249073664934\ 476*c_0110_5^3 + 1837240207329414286640318234792491195/342339006844\ 353780996294659737904*c_0110_5^2 + 2966692308421135613571408786162050719/17116950342217689049814732986\ 8952*c_0110_5 - 732260393203269304971226483414089055/85584751711088\ 445249073664934476, c_0011_0 - 1, c_0011_10 + 484134027906929912849/538657107326745229185008*c_0110_5^9 - 55435049805964014538401/538657107326745229185008*c_0110_5^8 + 521051178459488431858615/538657107326745229185008*c_0110_5^7 - 252139953566389563664305/538657107326745229185008*c_0110_5^6 + 1366125339765409439519425/538657107326745229185008*c_0110_5^5 - 372372635194608523820213/538657107326745229185008*c_0110_5^4 - 1096214815589712669792315/538657107326745229185008*c_0110_5^3 + 281428498082756913998595/269328553663372614592504*c_0110_5^2 + 211451403976627849098901/134664276831686307296252*c_0110_5 - 11841208156035755156663/33666069207921576824063, c_0011_11 - 623407957700982151833/538657107326745229185008*c_0110_5^9 + 71328205933334268951329/538657107326745229185008*c_0110_5^8 - 664498681782884424018799/538657107326745229185008*c_0110_5^7 + 238610618094786306519465/538657107326745229185008*c_0110_5^6 - 1451645659793420004242777/538657107326745229185008*c_0110_5^5 + 9544604122088752739885/538657107326745229185008*c_0110_5^4 + 2249166421713401510863059/538657107326745229185008*c_0110_5^3 - 632236062822816836870859/269328553663372614592504*c_0110_5^2 - 335241715967176554635483/134664276831686307296252*c_0110_5 + 50787576102593262722310/33666069207921576824063, c_0011_12 - 102755073877093900339/538657107326745229185008*c_0110_5^9 + 11763186624042197922775/538657107326745229185008*c_0110_5^8 - 110394966970996544468433/538657107326745229185008*c_0110_5^7 + 62873921830729755233287/538657107326745229185008*c_0110_5^6 - 412875215096636949753407/538657107326745229185008*c_0110_5^5 + 233386812583220976254571/538657107326745229185008*c_0110_5^4 - 170244593482905455828939/538657107326745229185008*c_0110_5^3 + 106558927238151075243245/269328553663372614592504*c_0110_5^2 - 48926545564026448767475/134664276831686307296252*c_0110_5 - 7322521232918675280594/33666069207921576824063, c_0011_3 + 32727035763693279117/67332138415843153648126*c_0110_5^9 - 15044992967537370573087/269328553663372614592504*c_0110_5^8 + 147259027712412527001955/269328553663372614592504*c_0110_5^7 - 128859409866294882430501/269328553663372614592504*c_0110_5^6 + 405151906249011980737899/269328553663372614592504*c_0110_5^5 - 241938563817392100457699/269328553663372614592504*c_0110_5^4 - 282084895514379539795433/269328553663372614592504*c_0110_5^3 + 364401245261806157530037/269328553663372614592504*c_0110_5^2 + 34740553726245165942341/134664276831686307296252*c_0110_5 - 34636494705082029122709/67332138415843153648126, c_0101_0 - 1, c_0101_11 - 812997686468446004985/538657107326745229185008*c_0110_5^9 + 93246707332683320928115/538657107326745229185008*c_0110_5^8 - 892628305344800761785129/538657107326745229185008*c_0110_5^7 + 569884376071553850186063/538657107326745229185008*c_0110_5^6 - 2157087604785834711562003/538657107326745229185008*c_0110_5^5 + 760070202516803523902087/538657107326745229185008*c_0110_5^4 + 2343451404783561756868945/538657107326745229185008*c_0110_5^3 - 531302393985565361786533/134664276831686307296252*c_0110_5^2 - 150993226640402043631709/67332138415843153648126*c_0110_5 + 157606869977055843870357/67332138415843153648126, c_0101_12 + 21480602764116915075/33666069207921576824063*c_0110_5^9 - 9805975097467355818647/134664276831686307296252*c_0110_5^8 + 88716771362344958372057/134664276831686307296252*c_0110_5^7 - 4936518308721570709747/134664276831686307296252*c_0110_5^6 + 178834049721148067076525/134664276831686307296252*c_0110_5^5 + 55374252735524470082679/134664276831686307296252*c_0110_5^4 - 355279451532511069768803/134664276831686307296252*c_0110_5^3 + 126882191577357863386151/134664276831686307296252*c_0110_5^2 + 67863570862989775926579/33666069207921576824063*c_0110_5 - 26074138635092174422610/33666069207921576824063, c_0101_2 + 573904008317128400727/538657107326745229185008*c_0110_5^9 - 65587326913410617520395/538657107326745229185008*c_0110_5^8 + 603105355833946055121005/538657107326745229185008*c_0110_5^7 - 156227302660611599693003/538657107326745229185008*c_0110_5^6 + 1473960735857866644143763/538657107326745229185008*c_0110_5^5 + 141388791157236610052865/538657107326745229185008*c_0110_5^4 - 1571126922287834743371377/538657107326745229185008*c_0110_5^3 + 534559551402228870032615/269328553663372614592504*c_0110_5^2 + 375702625080774798382067/134664276831686307296252*c_0110_5 - 32885379741515747214890/33666069207921576824063, c_0101_4 - 119546839075658802129/269328553663372614592504*c_0110_5^9 + 3457422552409087925965/67332138415843153648126*c_0110_5^8 - 72380737377713676666031/134664276831686307296252*c_0110_5^7 + 103414268352735562623265/134664276831686307296252*c_0110_5^6 - 42695429307998004213640/33666069207921576824063*c_0110_5^5 + 112682374209255016744369/67332138415843153648126*c_0110_5^4 + 48270280155982938343598/33666069207921576824063*c_0110_5^3 - 528045236568901853540451/269328553663372614592504*c_0110_5^2 + 73716171799970711118649/134664276831686307296252*c_0110_5 + 91836110494024349440577/67332138415843153648126, c_0101_6 - 573904008317128400727/538657107326745229185008*c_0110_5^9 + 65587326913410617520395/538657107326745229185008*c_0110_5^8 - 603105355833946055121005/538657107326745229185008*c_0110_5^7 + 156227302660611599693003/538657107326745229185008*c_0110_5^6 - 1473960735857866644143763/538657107326745229185008*c_0110_5^5 - 141388791157236610052865/538657107326745229185008*c_0110_5^4 + 1571126922287834743371377/538657107326745229185008*c_0110_5^3 - 534559551402228870032615/269328553663372614592504*c_0110_5^2 - 241038348249088491085815/134664276831686307296252*c_0110_5 + 32885379741515747214890/33666069207921576824063, c_0110_10 + 122556450818344596515/538657107326745229185008*c_0110_5^9 - 13794283902979317622309/538657107326745229185008*c_0110_5^8 + 104483223629695848260527/538657107326745229185008*c_0110_5^7 + 201062016556392637367223/538657107326745229185008*c_0110_5^6 + 147620372213029131533149/538657107326745229185008*c_0110_5^5 + 619259714464800658010199/538657107326745229185008*c_0110_5^4 - 666598798208350367184847/538657107326745229185008*c_0110_5^3 - 13341481485105965704482/33666069207921576824063*c_0110_5^2 + 74902510392422038019631/67332138415843153648126*c_0110_5 + 11092525940186161686999/67332138415843153648126, c_0110_5^10 - 115*c_0110_5^9 + 1133*c_0110_5^8 - 1043*c_0110_5^7 + 2927*c_0110_5^6 - 1707*c_0110_5^5 - 2477*c_0110_5^4 + 3608*c_0110_5^3 + 668*c_0110_5^2 - 1968*c_0110_5 + 784 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.610 Total time: 0.820 seconds, Total memory usage: 32.09MB