Magma V2.19-8 Tue Sep 10 2013 20:14:06 on localhost [Seed = 3634708314] Type ? for help. Type -D to quit. Loading file "11_404__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_404 geometric_solution 14.49695305 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 1 0 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032990133291 0.842196457315 0 5 2 6 0132 0132 1023 0132 0 0 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 1 0 -1 0 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496590059552 0.543961436438 7 0 1 8 0132 0132 1023 0132 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 -1 1 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.191724438241 0.921182489800 5 7 9 0 0132 0132 0132 0132 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 -1 0 1 1 0 0 -1 6 -6 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377394755951 1.147084579705 10 10 0 6 0132 1302 0132 2103 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 6 -6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586122606827 1.007864662421 3 1 11 12 0132 0132 0132 0132 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 0 0 -1 0 0 1 6 -1 0 -5 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874670415489 0.737851019464 13 14 1 4 0132 0132 0132 2103 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051190307430 0.769411278507 2 3 9 12 0132 0132 3012 2031 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 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200378915583 0.747532593218 12 9 2 11 0213 3012 0132 3012 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 1 0 0 -1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.325778473191 1.085382523550 8 7 13 3 1230 1230 3120 0132 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558949000549 0.657339198968 4 14 11 4 0132 2310 2310 2031 0 0 0 0 0 0 -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 -6 6 0 0 0 0 0 -1 0 1 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348649977099 0.849024366320 13 10 8 5 3120 3201 1230 0132 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 -1 1 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.048251693044 1.309533996016 8 7 5 15 0213 1302 0132 0132 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 -1 1 -1 1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.456970029865 0.641590856601 6 15 9 11 0132 3120 3120 3120 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 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.305094136191 1.135231847283 15 6 15 10 3120 0132 2103 3201 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 -5 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 0.171991707618 1.036156074444 14 13 12 14 2103 3120 0132 3120 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844097515764 0.939227293568 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_13'], 'c_1001_15' : negation(d['c_1001_13']), 'c_1001_14' : d['c_0011_11'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_1001_13']), 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_1001_13']), 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0011_10']), 'c_1010_15' : negation(d['c_0011_13']), 'c_1010_14' : negation(d['c_1001_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : d['c_0101_14'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : d['c_0011_11'], 'c_0011_14' : d['c_0011_13'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_14']), 'c_1100_4' : negation(d['c_0101_13']), 'c_1100_7' : d['c_1001_13'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_13']), 'c_1100_3' : negation(d['c_0101_13']), 'c_1100_2' : d['c_0101_10'], 'c_1100_14' : negation(d['c_0011_10']), 'c_1100_15' : negation(d['c_0101_14']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_13']), 'c_1100_11' : negation(d['c_0101_14']), 'c_1100_10' : d['c_0011_11'], 'c_1100_13' : negation(d['c_0101_11']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0101_1'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0011_12'], 's_0_15' : d['1'], '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_0101_14']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : d['c_0101_0'], 'c_0110_12' : d['c_0101_14'], 'c_0110_15' : d['c_0011_10'], 'c_0110_14' : d['c_0011_10'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_8'], 'c_0011_7' : d['c_0011_0'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], '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_11'], 'c_0101_8' : d['c_0011_12'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0101_14']), '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_0011_12'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_14, c_0101_2, c_1001_10, c_1001_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 587612625941354827661865138005351579767472146166375339213151339/971\ 99290383534545201751895081249986846801286841209000000*c_1001_13^14 - 7752378791642072441106991167911091529673712603842297913978218657/97\ 199290383534545201751895081249986846801286841209000000*c_1001_13^13 - 37928263389180770192783301963802531331124690278055426057875289893\ /97199290383534545201751895081249986846801286841209000000*c_1001_13\ ^12 - 8519396943785007730465625813276476951377794545875821947537076\ 221/3887971615341381808070075803249999473872051473648360000*c_1001_\ 13^11 - 34389408184793356743065055750157704248400423817011753240788\ 4793811/24299822595883636300437973770312496711700321710302250000*c_\ 1001_13^10 + 221044340874324600129293330402500152542218181428838056\ 068677173067/971992903835345452017518950812499868468012868412090000\ 00*c_1001_13^9 - 41487772641383506299943402407700055610584425250412\ 41477577995716087/9719929038353454520175189508124998684680128684120\ 9000000*c_1001_13^8 - 270921402377262081436493806968782575498767951\ 3803685114457278088707/19439858076706909040350379016249997369360257\ 368241800000*c_1001_13^7 + 9929488434944068450857839479200107622777\ 68076934416411555770409731/1388561291193350645739312786874999812097\ 1612405887000000*c_1001_13^6 + 314433351662760125316537608835706897\ 4318989606879080944527851764927/97199290383534545201751895081249986\ 846801286841209000000*c_1001_13^5 - 1700268981740709235815688123910645561441664119522225845970841569527\ 7/97199290383534545201751895081249986846801286841209000000*c_1001_1\ 3^4 + 1323961555492945301093741677635243000427840318704539121566980\ 733737/48599645191767272600875947540624993423400643420604500000*c_1\ 001_13^3 - 18927301479677130735189123373507946146514728685622326135\ 0251115753/1943985807670690904035037901624999736936025736824180000*\ c_1001_13^2 + 43956582524093304940674211524841928753736121425150123\ 04942824466171/9719929038353454520175189508124998684680128684120900\ 0000*c_1001_13 - 95139987051273031565259954833242081099269896280409\ 6475902094213349/48599645191767272600875947540624993423400643420604\ 500000, c_0011_0 - 1, c_0011_10 - 3733815043089872071713994622644899866338/186685841895018304\ 184428318607547746110781737*c_1001_13^14 - 42434572966872813722719071648658700158774/1866858418950183041844283\ 18607547746110781737*c_1001_13^13 - 136141827747222349562307144565037907826026/186685841895018304184428\ 318607547746110781737*c_1001_13^12 - 718708175444505264879991179782343916358063/186685841895018304184428\ 318607547746110781737*c_1001_13^11 - 5329416766745833037283966806046082161226624/18668584189501830418442\ 8318607547746110781737*c_1001_13^10 + 22646245117562286206456650052101404499428847/1866858418950183041844\ 28318607547746110781737*c_1001_13^9 + 5131548466511529931947220802595392476814749/18668584189501830418442\ 8318607547746110781737*c_1001_13^8 - 47249197177186989044391382418901991109250783/1866858418950183041844\ 28318607547746110781737*c_1001_13^7 + 43202102293468177710044989290152014512096764/2666940598500261488348\ 9759801078249444397391*c_1001_13^6 + 262171304733994601212697606018004665131899696/186685841895018304184\ 428318607547746110781737*c_1001_13^5 - 356833229539967467415566490596286501627206260/186685841895018304184\ 428318607547746110781737*c_1001_13^4 + 87273923273019072688441554050260927511601177/1866858418950183041844\ 28318607547746110781737*c_1001_13^3 + 253101443115109093960921421116279461716811063/186685841895018304184\ 428318607547746110781737*c_1001_13^2 + 68111299819005933686946379108410112338690277/1866858418950183041844\ 28318607547746110781737*c_1001_13 + 102436500128131229699182383255031254057048187/186685841895018304184\ 428318607547746110781737, c_0011_11 + 2783852548474544402957670960766076229480/266694059850026148\ 83489759801078249444397391*c_1001_13^14 + 40889485323579405018173078973842904211227/2666940598500261488348975\ 9801078249444397391*c_1001_13^13 + 234645679570966237299572076995792167477055/266694059850026148834897\ 59801078249444397391*c_1001_13^12 + 1277867548234018232472172402394238372662561/26669405985002614883489\ 759801078249444397391*c_1001_13^11 + 8021486450270654113844432073071019536539964/26669405985002614883489\ 759801078249444397391*c_1001_13^10 + 8670007817662155815114334576374348859389975/26669405985002614883489\ 759801078249444397391*c_1001_13^9 + 17981394211455274968891649197109723929330474/2666940598500261488348\ 9759801078249444397391*c_1001_13^8 + 92152670013090181026833462144250462892007294/2666940598500261488348\ 9759801078249444397391*c_1001_13^7 + 61116563867330645057749732706413063121437809/2666940598500261488348\ 9759801078249444397391*c_1001_13^6 - 61921937811911271632568216483342915947022019/2666940598500261488348\ 9759801078249444397391*c_1001_13^5 + 35402446507164453463935471401186556456280394/2666940598500261488348\ 9759801078249444397391*c_1001_13^4 + 104978360474255690280869583103774347658269325/266694059850026148834\ 89759801078249444397391*c_1001_13^3 + 63067763817432307933939615816770660454255271/2666940598500261488348\ 9759801078249444397391*c_1001_13^2 + 45183316839110984743585883008091919687514600/2666940598500261488348\ 9759801078249444397391*c_1001_13 - 18807490468022397925047281233723937661158359/2666940598500261488348\ 9759801078249444397391, c_0011_12 - 83477743086165536064560926594196704343664/18668584189501830\ 4184428318607547746110781737*c_1001_13^14 - 1096311732180591514858927715525436205949934/18668584189501830418442\ 8318607547746110781737*c_1001_13^13 - 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169383115566236924940713232159740816908335053/186685841895018304184\ 428318607547746110781737, c_1001_10 - 41812846983352312138360897763535471609017/18668584189501830\ 4184428318607547746110781737*c_1001_13^14 - 546629101323351799499449147730618488153899/186685841895018304184428\ 318607547746110781737*c_1001_13^13 - 2639400562367029268567559789789063241429482/18668584189501830418442\ 8318607547746110781737*c_1001_13^12 - 14926889644791662967723790365772256913278719/1866858418950183041844\ 28318607547746110781737*c_1001_13^11 - 96592094981489435781092946561696217639615817/1866858418950183041844\ 28318607547746110781737*c_1001_13^10 + 24592876978321351436614126524101192403279902/1866858418950183041844\ 28318607547746110781737*c_1001_13^9 - 315138053408844598992659482208020415642966773/186685841895018304184\ 428318607547746110781737*c_1001_13^8 - 942886790638990351165947619341171712381739555/186685841895018304184\ 428318607547746110781737*c_1001_13^7 + 81720497702612399575914433009027474809319042/2666940598500261488348\ 9759801078249444397391*c_1001_13^6 - 25348045368861075208448537106270976436153528/1866858418950183041844\ 28318607547746110781737*c_1001_13^5 - 1323617863563472378767444021902930249699865040/18668584189501830418\ 4428318607547746110781737*c_1001_13^4 + 553495189855868745137391124072388731885834722/186685841895018304184\ 428318607547746110781737*c_1001_13^3 - 770196006538811057311264823228944756189407224/186685841895018304184\ 428318607547746110781737*c_1001_13^2 + 228357776796389138079307369488739087115623065/186685841895018304184\ 428318607547746110781737*c_1001_13 - 217593078290058127089073011277583289250830371/186685841895018304184\ 428318607547746110781737, c_1001_13^15 + 13*c_1001_13^14 + 62*c_1001_13^13 + 350*c_1001_13^12 + 2271*c_1001_13^11 - 828*c_1001_13^10 + 7133*c_1001_13^9 + 21690*c_1001_13^8 - 16278*c_1001_13^7 - 3068*c_1001_13^6 + 29968*c_1001_13^5 - 10091*c_1001_13^4 + 16975*c_1001_13^3 - 10589*c_1001_13^2 + 4682*c_1001_13 - 625 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 765.890 Total time: 766.090 seconds, Total memory usage: 3896.09MB