Magma V2.19-8 Wed Aug 21 2013 01:03:25 on localhost [Seed = 509085207] Type ? for help. Type -D to quit. Loading file "L14n20194__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20194 geometric_solution 12.07369737 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 1 -2 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 -0.011605870607 1.120735032658 0 5 6 4 0132 0132 0132 2310 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 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.046564577528 1.444977599017 5 0 7 3 0132 0132 0132 0132 0 1 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 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 0.213346549808 0.908661525411 8 9 2 0 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 -1 -1 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 0 0 0 0 -0.011605870607 1.120735032658 1 10 0 7 3201 0132 0132 0132 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 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 0.405692342744 0.717597761993 2 1 8 9 0132 0132 2310 2310 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.123604319660 0.649543771582 8 11 12 1 2310 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 1 1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.011605870607 1.120735032658 12 11 4 2 1302 1230 0132 0132 0 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774798759999 0.685681622026 3 5 6 12 0132 3201 3201 3120 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 -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 0.213346549808 0.908661525411 5 3 10 11 3201 0132 0321 1023 0 1 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 1 -1 0 2 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 -0.046564577528 1.444977599017 12 4 9 11 2310 0132 0321 1230 0 1 1 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 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 0.684569407250 0.826584461051 10 6 7 9 3012 0132 3012 1023 1 0 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 1 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 -0.011605870607 1.120735032658 8 7 10 6 3120 2031 3201 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 -1 1 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 0.276208563456 0.640541146734 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_0']), 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0110_11'], 'c_1001_3' : d['c_0110_11'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_10'], 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0110_11'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : negation(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_0011_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_0110_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : 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_3, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0110_11, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 24059155722082361632327/12299386619006092584*c_1100_0^12 - 84102269344090466385502/16911656601133377303*c_1100_0^11 - 17641827945980224716805/7516291822725945468*c_1100_0^10 - 1736146242837703160330329/135293252809067018424*c_1100_0^9 - 1683904179931394884594/152357266676877273*c_1100_0^8 - 10236316230169006643375/457071800030631819*c_1100_0^7 - 2905526303792552460485063/135293252809067018424*c_1100_0^6 - 768520023201911315430107/45097750936355672808*c_1100_0^5 - 36022046657681587844015/7958426635827471672*c_1100_0^4 - 64842394693799932162795/16911656601133377303*c_1100_0^3 - 8272829720914900544783/3656574400245054552*c_1100_0^2 - 104644070826925828041715/135293252809067018424*c_1100_0 + 24247661721001598354725/33823313202266754606, c_0011_0 - 1, c_0011_10 + 1921594198007/299645772774*c_1100_0^12 - 3119191877533/149822886387*c_1100_0^11 + 406393759783/49940962129*c_1100_0^10 - 14494033401529/299645772774*c_1100_0^9 - 552433111824/49940962129*c_1100_0^8 - 10752078105062/149822886387*c_1100_0^7 - 13026424461491/299645772774*c_1100_0^6 - 4365257199357/99881924258*c_1100_0^5 - 6746507690461/299645772774*c_1100_0^4 - 3482560323976/149822886387*c_1100_0^3 - 2648386856351/299645772774*c_1100_0^2 - 600461196427/299645772774*c_1100_0 - 472630527298/149822886387, c_0011_11 + 125105675245177/83601170603946*c_1100_0^12 - 140744058023900/41800585301973*c_1100_0^11 - 4284261559302/1548169825999*c_1100_0^10 - 874083897442661/83601170603946*c_1100_0^9 - 172508319019406/13933528433991*c_1100_0^8 - 839507938735699/41800585301973*c_1100_0^7 - 1969261238725075/83601170603946*c_1100_0^6 - 542282977597663/27867056867982*c_1100_0^5 - 812628363971777/83601170603946*c_1100_0^4 - 229013462823572/41800585301973*c_1100_0^3 - 190091235975139/83601170603946*c_1100_0^2 - 63983443321163/83601170603946*c_1100_0 + 29905602683329/41800585301973, c_0011_12 + 46240061011837/27867056867982*c_1100_0^12 - 91040763094676/13933528433991*c_1100_0^11 + 9123963111062/1548169825999*c_1100_0^10 - 371513745647921/27867056867982*c_1100_0^9 + 15076721631973/4644509477997*c_1100_0^8 - 230013439154419/13933528433991*c_1100_0^7 - 130659587977315/27867056867982*c_1100_0^6 - 57431315675923/9289018955994*c_1100_0^5 - 186386579089265/27867056867982*c_1100_0^4 - 110639036001239/13933528433991*c_1100_0^3 - 77380265743771/27867056867982*c_1100_0^2 - 13732628609879/27867056867982*c_1100_0 - 23883754628534/13933528433991, c_0011_3 + 51256058585479/4644509477997*c_1100_0^12 - 167809083741352/4644509477997*c_1100_0^11 + 21144516459062/1548169825999*c_1100_0^10 - 373233406543895/4644509477997*c_1100_0^9 - 22679220032544/1548169825999*c_1100_0^8 - 534495063676124/4644509477997*c_1100_0^7 - 285217752665347/4644509477997*c_1100_0^6 - 94457053287749/1548169825999*c_1100_0^5 - 83383167887297/4644509477997*c_1100_0^4 - 137897172305974/4644509477997*c_1100_0^3 - 37052561687095/4644509477997*c_1100_0^2 - 8466588730493/4644509477997*c_1100_0 - 13860304989079/4644509477997, c_0011_7 + 393642243106013/167202341207892*c_1100_0^12 - 539760895085107/83601170603946*c_1100_0^11 - 4849123340541/3096339651998*c_1100_0^10 - 2425579410865597/167202341207892*c_1100_0^9 - 342877191015727/27867056867982*c_1100_0^8 - 957598421999434/41800585301973*c_1100_0^7 - 4303454363099375/167202341207892*c_1100_0^6 - 773085370924697/55734113735964*c_1100_0^5 - 1422874608019549/167202341207892*c_1100_0^4 - 290117449161649/83601170603946*c_1100_0^3 - 821977307169395/167202341207892*c_1100_0^2 + 34319311420391/167202341207892*c_1100_0 - 72635950061095/83601170603946, c_0101_0 - 15850344765079/4400061610734*c_1100_0^12 + 22877947014638/2200030805367*c_1100_0^11 + 52709321946/81482622421*c_1100_0^10 + 97710439450913/4400061610734*c_1100_0^9 + 12891636515732/733343601789*c_1100_0^8 + 75136824045187/2200030805367*c_1100_0^7 + 166899739547167/4400061610734*c_1100_0^6 + 30698228845033/1466687203578*c_1100_0^5 + 69232308661151/4400061610734*c_1100_0^4 + 20763757543730/2200030805367*c_1100_0^3 + 34140325468507/4400061610734*c_1100_0^2 + 48599344805/4400061610734*c_1100_0 + 5091691369745/2200030805367, c_0101_10 + 123539030636219/27867056867982*c_1100_0^12 - 194969481391903/13933528433991*c_1100_0^11 + 6281481158936/1548169825999*c_1100_0^10 - 892792628528635/27867056867982*c_1100_0^9 - 50946472695388/4644509477997*c_1100_0^8 - 676074936410363/13933528433991*c_1100_0^7 - 942631450383845/27867056867982*c_1100_0^6 - 284932376341127/9289018955994*c_1100_0^5 - 449273494919377/27867056867982*c_1100_0^4 - 222959648264296/13933528433991*c_1100_0^3 - 211215714541229/27867056867982*c_1100_0^2 - 14916430363243/27867056867982*c_1100_0 - 30749213587957/13933528433991, c_0101_11 + 2475985425397/4400061610734*c_1100_0^12 - 1453989219587/2200030805367*c_1100_0^11 - 241641580560/81482622421*c_1100_0^10 - 14015170340921/4400061610734*c_1100_0^9 - 7131728987792/733343601789*c_1100_0^8 - 17376385012906/2200030805367*c_1100_0^7 - 75823042633051/4400061610734*c_1100_0^6 - 16014826963795/1466687203578*c_1100_0^5 - 43584684411359/4400061610734*c_1100_0^4 - 9985629644648/2200030805367*c_1100_0^3 - 18341323070611/4400061610734*c_1100_0^2 - 9007390099583/4400061610734*c_1100_0 - 1334067288944/2200030805367, c_0101_3 - 370947545254979/83601170603946*c_1100_0^12 + 555588703179562/41800585301973*c_1100_0^11 - 2708714805762/1548169825999*c_1100_0^10 + 2622225196732213/83601170603946*c_1100_0^9 + 220454625350236/13933528433991*c_1100_0^8 + 2086272974066969/41800585301973*c_1100_0^7 + 3386647578417059/83601170603946*c_1100_0^6 + 957357704660573/27867056867982*c_1100_0^5 + 1570344260337127/83601170603946*c_1100_0^4 + 655929133293208/41800585301973*c_1100_0^3 + 624785575963727/83601170603946*c_1100_0^2 + 85085324295691/83601170603946*c_1100_0 + 71004964800049/41800585301973, c_0110_11 - 1, c_1001_10 + 2536092513317/8800123221468*c_1100_0^12 - 5662837868275/4400061610734*c_1100_0^11 + 429792014973/162965244842*c_1100_0^10 - 48769690272253/8800123221468*c_1100_0^9 + 1159717740119/1466687203578*c_1100_0^8 - 20557890223765/2200030805367*c_1100_0^7 - 44593490449463/8800123221468*c_1100_0^6 - 31564413870449/2933374407156*c_1100_0^5 - 106914613812937/8800123221468*c_1100_0^4 - 33787380169423/4400061610734*c_1100_0^3 - 20317815967019/8800123221468*c_1100_0^2 - 16888537131913/8800123221468*c_1100_0 - 6333210205915/4400061610734, c_1100_0^13 - 28/11*c_1100_0^12 - 10/11*c_1100_0^11 - 79/11*c_1100_0^10 - 68/11*c_1100_0^9 - 148/11*c_1100_0^8 - 145/11*c_1100_0^7 - 139/11*c_1100_0^6 - 73/11*c_1100_0^5 - 64/11*c_1100_0^4 - 3*c_1100_0^3 - 17/11*c_1100_0^2 - 4/11*c_1100_0 - 4/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.530 Total time: 0.730 seconds, Total memory usage: 32.09MB