Magma V2.19-8 Wed Aug 21 2013 01:07:14 on localhost [Seed = 2648409245] Type ? for help. Type -D to quit. Loading file "L14n32997__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32997 geometric_solution 12.21462329 oriented_manifold CS_known 0.0000000000000002 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 -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 0 -1 3 -2 0 0 0 0 -3 0 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.010264255942 0.906125589344 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 -1 1 0 0 0 0 1 -1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495864364967 0.996242304678 6 0 9 8 0132 0132 0132 0132 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 -1 0 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 0.657620418124 0.635374452408 8 10 5 0 0132 0132 2103 0132 1 1 0 0 0 0 -1 1 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 3 -3 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197612914637 1.009781605260 9 11 0 10 2031 0132 0132 0132 1 1 0 1 0 0 -1 1 0 0 0 0 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 0 2 -2 1 0 0 -1 0 0 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053098816753 0.776348385189 3 1 12 6 2103 0132 0132 1023 1 1 1 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 0 0 0 0 0 0 0 -3 3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391062492866 0.897393439404 2 10 1 5 0132 1302 0132 1023 1 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 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 0.318873574010 0.435625995135 8 9 12 1 3012 1023 1023 0132 1 1 1 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 -1 0 1 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 -0.070752274064 0.887027540884 3 11 2 7 0132 0213 0132 1230 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314363227003 1.168590781844 7 11 4 2 1023 0321 1302 0132 1 1 1 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 0 -1 1 1 0 -1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833292895283 0.841289821386 12 3 4 6 1023 0132 0132 2031 1 1 0 0 0 0 -1 1 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 2 -2 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307123989231 0.597304002553 12 4 8 9 0213 0132 0213 0321 1 0 1 0 0 0 0 0 1 0 0 -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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242132140995 1.406934400785 11 10 7 5 0213 1023 1023 0132 1 1 0 0 0 0 0 0 0 0 0 0 -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 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 0.277473349265 1.890648361248 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0110_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_0'], 's_0_10' : d['1'], 's_0_11' : 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_0011_10'], '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' : 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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1100_1']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0110_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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_1100_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' : d['1'], 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_7'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_7'], '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_0011_11'], 'c_0101_8' : d['c_0101_0'], '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_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_10, c_0110_5, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 5495957613183872964/290700347246283065*c_1100_1^9 + 17752430794203044213/290700347246283065*c_1100_1^8 - 11305320158641311347/156530956209537035*c_1100_1^7 - 413669832071412056242/406980486144796291*c_1100_1^6 - 546269934352276446313/290700347246283065*c_1100_1^5 - 1517815775011273006268/2034902430723981455*c_1100_1^4 + 2609361764111888796882/2034902430723981455*c_1100_1^3 + 526177024441119579256/406980486144796291*c_1100_1^2 + 6015546271152783387/156530956209537035*c_1100_1 - 750183794615678115078/2034902430723981455, c_0011_0 - 1, c_0011_10 - 3124116294985/150329849901116*c_1100_1^9 - 21207485301296/37582462475279*c_1100_1^8 - 260709374171825/150329849901116*c_1100_1^7 + 175259156157627/75164924950558*c_1100_1^6 + 4417178818146799/150329849901116*c_1100_1^5 + 4578811726777801/75164924950558*c_1100_1^4 + 3022682387309593/75164924950558*c_1100_1^3 - 2539997076097965/150329849901116*c_1100_1^2 - 1188858575586567/37582462475279*c_1100_1 - 1616637615245917/150329849901116, c_0011_11 + 25192316167557/75164924950558*c_1100_1^9 + 48803196111117/37582462475279*c_1100_1^8 - 37010953438421/75164924950558*c_1100_1^7 - 692321798050165/37582462475279*c_1100_1^6 - 3374020446324595/75164924950558*c_1100_1^5 - 1506852982149493/37582462475279*c_1100_1^4 - 52287218098222/37582462475279*c_1100_1^3 + 1700718006639443/75164924950558*c_1100_1^2 + 593228769905512/37582462475279*c_1100_1 + 253989284734537/75164924950558, c_0011_7 + 7148550741367/75164924950558*c_1100_1^9 + 10126861724175/37582462475279*c_1100_1^8 - 28905988557227/75164924950558*c_1100_1^7 - 174398087462162/37582462475279*c_1100_1^6 - 586985705858423/75164924950558*c_1100_1^5 - 202797426609842/37582462475279*c_1100_1^4 - 76371376183521/37582462475279*c_1100_1^3 - 9531208864905/75164924950558*c_1100_1^2 + 98045034842178/37582462475279*c_1100_1 + 135026228703287/75164924950558, c_0101_0 - 13586452964637/75164924950558*c_1100_1^9 - 37751096932507/37582462475279*c_1100_1^8 - 57536841495143/75164924950558*c_1100_1^7 + 407810932121371/37582462475279*c_1100_1^6 + 3039155596846847/75164924950558*c_1100_1^5 + 2054297384667850/37582462475279*c_1100_1^4 + 837323770467299/37582462475279*c_1100_1^3 - 1533003578682175/75164924950558*c_1100_1^2 - 894060550037139/37582462475279*c_1100_1 - 540845597242017/75164924950558, c_0101_1 - 1, c_0101_10 + 1306405568195/37582462475279*c_1100_1^9 + 5711342078813/37582462475279*c_1100_1^8 + 280406174159/37582462475279*c_1100_1^7 - 76136258944055/37582462475279*c_1100_1^6 - 214114594282724/37582462475279*c_1100_1^5 - 209560493422335/37582462475279*c_1100_1^4 + 55929195931708/37582462475279*c_1100_1^3 + 185832267760278/37582462475279*c_1100_1^2 + 16928254139937/37582462475279*c_1100_1 - 55615743655028/37582462475279, c_0101_2 + 14378698088643/37582462475279*c_1100_1^9 + 54495082436137/37582462475279*c_1100_1^8 - 18863611556670/37582462475279*c_1100_1^7 - 771759754135929/37582462475279*c_1100_1^6 - 1896975202180758/37582462475279*c_1100_1^5 - 1890784000775207/37582462475279*c_1100_1^4 - 338462601593122/37582462475279*c_1100_1^3 + 918804357279932/37582462475279*c_1100_1^2 + 802179879398912/37582462475279*c_1100_1 + 190631938652213/37582462475279, c_0110_10 + 30339643658219/75164924950558*c_1100_1^9 + 58987553096801/37582462475279*c_1100_1^8 - 41305939170599/75164924950558*c_1100_1^7 - 830012770563165/37582462475279*c_1100_1^6 - 4089258802874389/75164924950558*c_1100_1^5 - 1896471761034380/37582462475279*c_1100_1^4 - 225535356628162/37582462475279*c_1100_1^3 + 1961613852071933/75164924950558*c_1100_1^2 + 793795284492282/37582462475279*c_1100_1 + 358869325453521/75164924950558, c_0110_5 - 8205053587619/37582462475279*c_1100_1^9 - 26153825611886/37582462475279*c_1100_1^8 + 28923525655315/37582462475279*c_1100_1^7 + 429869289872387/37582462475279*c_1100_1^6 + 813626909772458/37582462475279*c_1100_1^5 + 467694694694550/37582462475279*c_1100_1^4 - 295666549293214/37582462475279*c_1100_1^3 - 448549186065413/37582462475279*c_1100_1^2 - 99252778324669/37582462475279*c_1100_1 + 71661679012738/37582462475279, c_1001_0 + 27805127303947/75164924950558*c_1100_1^9 + 54514538189930/37582462475279*c_1100_1^8 - 36450141090103/75164924950558*c_1100_1^7 - 768458056994220/37582462475279*c_1100_1^6 - 3802249634890043/75164924950558*c_1100_1^5 - 1716413475571828/37582462475279*c_1100_1^4 + 3641977833486/37582462475279*c_1100_1^3 + 2072382542159999/75164924950558*c_1100_1^2 + 610157024045449/37582462475279*c_1100_1 + 142757797424481/75164924950558, c_1001_2 + 21297631102153/37582462475279*c_1100_1^9 + 93202076098047/37582462475279*c_1100_1^8 + 10479046253970/37582462475279*c_1100_1^7 - 1190519493587866/37582462475279*c_1100_1^6 - 3454665911111517/37582462475279*c_1100_1^5 - 3968723143202677/37582462475279*c_1100_1^4 - 1134832665149579/37582462475279*c_1100_1^3 + 1739689357265670/37582462475279*c_1100_1^2 + 1760129694341199/37582462475279*c_1100_1 + 453653804975077/37582462475279, c_1100_1^10 + 5*c_1100_1^9 + 23/7*c_1100_1^8 - 387/7*c_1100_1^7 - 197*c_1100_1^6 - 2039/7*c_1100_1^5 - 1268/7*c_1100_1^4 + 249/7*c_1100_1^3 + 919/7*c_1100_1^2 + 555/7*c_1100_1 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.540 seconds, Total memory usage: 32.09MB