Magma V2.19-8 Tue Aug 20 2013 23:47:00 on localhost [Seed = 71462454] Type ? for help. Type -D to quit. Loading file "K14n6033__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6033 geometric_solution 10.77122978 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 2 -2 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208515584585 1.002237907175 0 4 6 5 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660428658162 0.673222720236 7 0 8 6 0132 0132 0132 0132 0 0 0 0 0 0 0 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 -1 0 1 0 0 -1 1 0 -3 0 3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.232940224392 1.162008575349 9 0 10 0 0132 0321 0132 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 1 -1 0 -1 0 1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801027071810 0.956370774544 11 1 11 8 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886393489303 0.638749541284 10 8 1 7 1302 1023 0132 0132 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 1 -1 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 0 0 0 0 0.865560188026 0.469006274469 10 8 2 1 2310 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 -1 1 1 0 -1 0 2 0 0 -2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.133961955678 0.586150102869 2 11 5 11 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508877697913 1.101757750779 5 6 4 2 1023 0132 0132 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 0 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752819911474 0.311234900521 3 9 10 9 0132 2310 1302 3201 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 -3 3 1 0 -1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602745063695 0.679127003793 9 5 6 3 2031 2031 3201 0132 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 2 -3 1 3 0 -2 -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 0.485296849475 0.614519868368 4 7 4 7 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547231533476 0.367470330335 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_4'], 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0011_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : negation(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_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_1100_9' : d['c_0011_3'], 'c_1100_8' : d['c_1100_1'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1100_1']), 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1001_0'], '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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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_4'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_1001_0, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 35 Groebner basis: [ t + 21658021436236275681227762536691/458911446433895754498048*c_1100_1^\ 34 + 29963999188892127202103851651101/76485241072315959083008*c_110\ 0_1^33 - 4887141627720564028348801299387983/45891144643389575449804\ 8*c_1100_1^32 + 105123388878787804002423128899605533/45891144643389\ 5754498048*c_1100_1^31 - 72111857710682030608697204724305915/573639\ 30804236969312256*c_1100_1^30 + 24958059459069166372299204786150438\ 41/458911446433895754498048*c_1100_1^29 + 2155125103727324073231345904543086161/458911446433895754498048*c_11\ 00_1^28 + 32483733690025962474706889068275176755/458911446433895754\ 498048*c_1100_1^27 + 12652915345851525929436508418781776005/1529704\ 82144631918166016*c_1100_1^26 + 21091123034265084419453118317359726\ 95/8051078007612206219264*c_1100_1^25 + 23510420736741575175092636524299435457/152970482144631918166016*c_1\ 100_1^24 + 51420072802354679114251213601952145423/15297048214463191\ 8166016*c_1100_1^23 + 5415863455122873889302316548932240715/3824262\ 0536157979541504*c_1100_1^22 + 471669274308128080032008417034012806\ 03/152970482144631918166016*c_1100_1^21 + 6250572064855792838864847797546963275/458911446433895754498048*c_11\ 00_1^20 + 5969617841151843919356707432076417761/2415323402283661865\ 7792*c_1100_1^19 - 245843562066374999127167860421977505/52748442118\ 83859247104*c_1100_1^18 + 19504190823880776643233834824357344553/15\ 2970482144631918166016*c_1100_1^17 - 10937544428442221244484697499640265077/458911446433895754498048*c_1\ 100_1^16 + 20106744938723327094597982299886596415/45891144643389575\ 4498048*c_1100_1^15 - 196586956146544258184901458646237677/19121310\ 268078989770752*c_1100_1^14 + 7351860215074417532549912506532777611\ /458911446433895754498048*c_1100_1^13 - 2895243840564274349733674814607446593/458911446433895754498048*c_11\ 00_1^12 + 2592607166617472795886531997899917681/4589114464338957544\ 98048*c_1100_1^11 - 990114595762598453834295071500456435/4589114464\ 33895754498048*c_1100_1^10 + 565329069950475698779006047695160229/4\ 58911446433895754498048*c_1100_1^9 - 337227345515680561953955289374765/832870138718504091648*c_1100_1^8 + 31314693024741601472761668203982141/152970482144631918166016*c_1100\ _1^7 - 9836197959401063900763268363433101/114727861608473938624512*\ c_1100_1^6 + 20537671633611361312300095927912227/458911446433895754\ 498048*c_1100_1^5 - 8877774086176393120676667848684923/458911446433\ 895754498048*c_1100_1^4 + 1079389772242797972657639536258851/152970\ 482144631918166016*c_1100_1^3 - 118821256763259666971405336557763/5\ 7363930804236969312256*c_1100_1^2 + 61888836594398230250002986694321/152970482144631918166016*c_1100_1 - 6922384625124144342610516065313/114727861608473938624512, c_0011_0 - 1, c_0011_10 + 237846706531/16777216*c_1100_1^34 + 1957975670105/16777216*c_1100_1^33 - 53811030751165/16777216*c_1100_1^32 + 579058413645585/8388608*c_1100_1^31 - 6413958351509495/16777216*c_1100_1^30 + 27823014870751869/16777216*c_1100_1^29 + 10948362078523083/8388608*c_1100_1^28 + 44324151412669463/2097152*c_1100_1^27 + 195828860213716507/8388608*c_1100_1^26 + 642141259148492683/8388608*c_1100_1^25 + 336657924340498381/8388608*c_1100_1^24 + 402933460399542091/4194304*c_1100_1^23 + 573560425553902437/16777216*c_1100_1^22 + 1464636235372767749/16777216*c_1100_1^21 - 499614208663513/131072*c_1100_1^20 + 601375853154871643/8388608*c_1100_1^19 - 20815613289355175/1048576*c_1100_1^18 + 1231145078048885/32768*c_1100_1^17 - 83986412510542677/8388608*c_1100_1^16 + 107561074511208485/8388608*c_1100_1^15 - 68731971073082285/16777216*c_1100_1^14 + 79335153421775079/16777216*c_1100_1^13 - 18902340330615861/8388608*c_1100_1^12 + 7222572685369765/4194304*c_1100_1^11 - 6364520984225667/8388608*c_1100_1^10 + 3204118268000617/8388608*c_1100_1^9 - 1207056868333239/8388608*c_1100_1^8 + 132610685656705/2097152*c_1100_1^7 - 495530603863233/16777216*c_1100_1^6 + 236356510025943/16777216*c_1100_1^5 - 27511852699619/4194304*c_1100_1^4 + 19275962157871/8388608*c_1100_1^3 - 12032184684323/16777216*c_1100_1^2 + 2283754817663/16777216*c_1100_1 - 373308202213/16777216, c_0011_3 + 85777493769/16777216*c_1100_1^34 + 696952006215/16777216*c_1100_1^33 - 19485396922083/16777216*c_1100_1^32 + 209856179784795/8388608*c_1100_1^31 - 2357079718850185/16777216*c_1100_1^30 + 10265666674425683/16777216*c_1100_1^29 + 3453002834046933/8388608*c_1100_1^28 + 31671138781474091/4194304*c_1100_1^27 + 63546297841156833/8388608*c_1100_1^26 + 221415846233865955/8388608*c_1100_1^25 + 92624085696909383/8388608*c_1100_1^24 + 66656719437264197/2097152*c_1100_1^23 + 124512606604529191/16777216*c_1100_1^22 + 473447122930647567/16777216*c_1100_1^21 - 25819658193081283/4194304*c_1100_1^20 + 202097245461021969/8388608*c_1100_1^19 - 45163315716647367/4194304*c_1100_1^18 + 27082060357340301/2097152*c_1100_1^17 - 45463684697409337/8388608*c_1100_1^16 + 36233845335382459/8388608*c_1100_1^15 - 35834711890778587/16777216*c_1100_1^14 + 27044879522907985/16777216*c_1100_1^13 - 8770249953264359/8388608*c_1100_1^12 + 162887965596873/262144*c_1100_1^11 - 2894856240427573/8388608*c_1100_1^10 + 1187194515366893/8388608*c_1100_1^9 - 558210992464625/8388608*c_1100_1^8 + 97433171095731/4194304*c_1100_1^7 - 220284191222531/16777216*c_1100_1^6 + 89962823108685/16777216*c_1100_1^5 - 2975225874907/1048576*c_1100_1^4 + 7757529570025/8388608*c_1100_1^3 - 5346492617733/16777216*c_1100_1^2 + 964941708977/16777216*c_1100_1 - 180507736695/16777216, c_0011_5 + 16765543/16777216*c_1100_1^34 + 134114321/16777216*c_1100_1^33 - 3822632521/16777216*c_1100_1^32 + 41269488987/8388608*c_1100_1^31 - 471678951399/16777216*c_1100_1^30 + 2078665902273/16777216*c_1100_1^29 + 511342107661/8388608*c_1100_1^28 + 6227748618267/4194304*c_1100_1^27 + 11065342625657/8388608*c_1100_1^26 + 44023822678597/8388608*c_1100_1^25 + 16046609664187/8388608*c_1100_1^24 + 14815398931921/2097152*c_1100_1^23 + 27223504353917/16777216*c_1100_1^22 + 116119514214449/16777216*c_1100_1^21 - 3505817764151/4194304*c_1100_1^20 + 53493887296289/8388608*c_1100_1^19 - 9000049231973/4194304*c_1100_1^18 + 16370058213799/4194304*c_1100_1^17 - 9981152152627/8388608*c_1100_1^16 + 12738729982555/8388608*c_1100_1^15 - 7383325082829/16777216*c_1100_1^14 + 9366996354211/16777216*c_1100_1^13 - 1869782824639/8388608*c_1100_1^12 + 55818301995/262144*c_1100_1^11 - 724841477953/8388608*c_1100_1^10 + 465143536223/8388608*c_1100_1^9 - 159023940301/8388608*c_1100_1^8 + 40671115979/4194304*c_1100_1^7 - 62574795337/16777216*c_1100_1^6 + 31166006827/16777216*c_1100_1^5 - 469113853/524288*c_1100_1^4 + 2834809529/8388608*c_1100_1^3 - 2264513731/16777216*c_1100_1^2 + 469696587/16777216*c_1100_1 - 134204237/16777216, c_0101_11 - 6346258263/2097152*c_1100_1^34 - 256625827579/8388608*c_1100_1^33 + 2666387209529/4194304*c_1100_1^32 - 112978752506193/8388608*c_1100_1^31 + 456554265415779/8388608*c_1100_1^30 - 442765640369689/2097152*c_1100_1^29 - 7456285451010893/8388608*c_1100_1^28 - 44176661282259177/8388608*c_1100_1^27 - 115255281947028243/8388608*c_1100_1^26 - 243454344648786499/8388608*c_1100_1^25 - 369644895900059623/8388608*c_1100_1^24 - 420119198371627563/8388608*c_1100_1^23 - 478550623906171329/8388608*c_1100_1^22 - 53730489799343207/1048576*c_1100_1^21 - 390633359572433917/8388608*c_1100_1^20 - 266498551827089879/8388608*c_1100_1^19 - 257904807609228535/8388608*c_1100_1^18 - 111862739846217077/8388608*c_1100_1^17 - 125274580378669843/8388608*c_1100_1^16 - 43561805102245391/8388608*c_1100_1^15 - 43555907009912263/8388608*c_1100_1^14 - 3489770078898931/2097152*c_1100_1^13 - 13924321896824111/8388608*c_1100_1^12 - 2303404229908303/8388608*c_1100_1^11 - 4126940987642313/8388608*c_1100_1^10 - 207700800338585/8388608*c_1100_1^9 - 844072553967421/8388608*c_1100_1^8 - 45693869424725/8388608*c_1100_1^7 - 133694768153563/8388608*c_1100_1^6 + 449164499861/1048576*c_1100_1^5 - 24617277899463/8388608*c_1100_1^4 + 4191647198191/8388608*c_1100_1^3 - 3287310394833/8388608*c_1100_1^2 + 110091916035/2097152*c_1100_1 - 158662047995/8388608, c_0101_2 - 19199454695/16777216*c_1100_1^34 - 239161637671/16777216*c_1100_1^33 + 3644955136801/16777216*c_1100_1^32 - 18850670954883/4194304*c_1100_1^31 + 129735870843285/16777216*c_1100_1^30 - 207287673467701/16777216*c_1100_1^29 - 654682788647345/1048576*c_1100_1^28 - 19712456159320491/8388608*c_1100_1^27 - 39170572380229367/4194304*c_1100_1^26 - 35642731228713151/2097152*c_1100_1^25 - 4389692937140771/131072*c_1100_1^24 - 277046500791508615/8388608*c_1100_1^23 - 758319135019783355/16777216*c_1100_1^22 - 586099108194956929/16777216*c_1100_1^21 - 336515231128397775/8388608*c_1100_1^20 - 83543993101823095/4194304*c_1100_1^19 - 236691917546164189/8388608*c_1100_1^18 - 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