Magma V2.19-8 Wed Aug 21 2013 00:50:59 on localhost [Seed = 1460748891] Type ? for help. Type -D to quit. Loading file "L10a96__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a96 geometric_solution 11.83429528 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 2031 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 0 0 0 0 0 0 1 0 -1 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 0.334386266113 0.954279241661 0 4 2 5 0132 0132 1023 0132 0 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 -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 -0.017594054709 0.611053213001 6 0 1 7 0132 0132 1023 0132 0 0 0 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 -1 0 1 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 0.129033447044 1.291327817421 7 0 7 0 0132 1302 3012 0132 0 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 0 0 0 0 0 0 0 0 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 0.672960047396 0.933314162665 8 1 9 10 0132 0132 0132 0132 0 1 1 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 -1 1 0 1 0 -1 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 0.807216699162 0.496721168418 6 11 1 7 2103 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 1 0 -1 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 -0.494437055221 1.144341016178 2 8 5 11 0132 0132 2103 3012 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 -1 1 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 0 0 0 0.609013960810 0.681982958655 3 3 2 5 0132 1230 0132 1023 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 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 0.334386266113 0.954279241661 4 6 12 11 0132 0132 0132 3120 1 1 0 1 0 0 0 0 1 0 0 -1 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 -1 0 -1 0 1 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 1.199153790336 0.794506828213 12 10 12 4 1230 0321 3120 0132 0 1 0 1 0 -1 0 1 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 1 -1 -1 0 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786341810020 0.596962361693 12 11 4 9 0132 0321 0132 0321 0 1 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 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 1.298638909019 1.040449584992 8 5 6 10 3120 0132 1230 0321 0 1 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249197961103 0.722462195701 10 9 9 8 0132 3012 3120 0132 1 1 1 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 1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193245281509 0.612459106104 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : 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_9'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_11']), '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_0101_11']), 's_1_7' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), '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_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], '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_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_1001_0, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 12329558882290/15991529809*c_1100_1^15 + 44007583851024/15991529809*c_1100_1^14 - 39472047392234/15991529809*c_1100_1^13 - 5123379503924/15991529809*c_1100_1^12 + 7200436808146/15991529809*c_1100_1^11 - 63252402749162/15991529809*c_1100_1^10 + 182653150697372/15991529809*c_1100_1^9 - 71588039002870/15991529809*c_1100_1^8 - 169112766152740/15991529809*c_1100_1^7 + 149917123622348/15991529809*c_1100_1^6 + 22143298659482/15991529809*c_1100_1^5 - 55368372731280/15991529809*c_1100_1^4 - 2188403905218/15991529809*c_1100_1^3 + 14373460138879/15991529809*c_1100_1^2 - 1226285117772/15991529809*c_1100_1 - 1307539323778/15991529809, c_0011_0 - 1, c_0011_10 + 29252183730/15991529809*c_1100_1^15 - 90673344488/15991529809*c_1100_1^14 - 78011207912/15991529809*c_1100_1^13 + 194294212392/15991529809*c_1100_1^12 + 209863248110/15991529809*c_1100_1^11 + 135515589498/15991529809*c_1100_1^10 - 507236669806/15991529809*c_1100_1^9 - 776280399772/15991529809*c_1100_1^8 + 584036428982/15991529809*c_1100_1^7 + 1014614446104/15991529809*c_1100_1^6 - 384759924110/15991529809*c_1100_1^5 - 706881362636/15991529809*c_1100_1^4 + 240805103254/15991529809*c_1100_1^3 + 305637287462/15991529809*c_1100_1^2 - 80059498632/15991529809*c_1100_1 - 47648950211/15991529809, c_0011_11 - 86696369990/15991529809*c_1100_1^15 + 211125060234/15991529809*c_1100_1^14 + 79840658562/15991529809*c_1100_1^13 - 286233456632/15991529809*c_1100_1^12 - 97951383860/15991529809*c_1100_1^11 - 464046543518/15991529809*c_1100_1^10 + 772472518062/15991529809*c_1100_1^9 + 1023072844812/15991529809*c_1100_1^8 - 1328426485392/15991529809*c_1100_1^7 - 500670326578/15991529809*c_1100_1^6 + 895884068006/15991529809*c_1100_1^5 + 2042916146/15991529809*c_1100_1^4 - 313627838708/15991529809*c_1100_1^3 + 27361818980/15991529809*c_1100_1^2 + 41277168726/15991529809*c_1100_1 - 26851794479/15991529809, c_0011_3 - 212361347850/15991529809*c_1100_1^15 + 410144694060/15991529809*c_1100_1^14 + 285993798620/15991529809*c_1100_1^13 - 494609986794/15991529809*c_1100_1^12 - 234156945562/15991529809*c_1100_1^11 - 1156839768202/15991529809*c_1100_1^10 + 1291759519618/15991529809*c_1100_1^9 + 2440118969116/15991529809*c_1100_1^8 - 2351221162724/15991529809*c_1100_1^7 - 1450744350626/15991529809*c_1100_1^6 + 1666779266008/15991529809*c_1100_1^5 + 329645698592/15991529809*c_1100_1^4 - 561080201518/15991529809*c_1100_1^3 - 84813035244/15991529809*c_1100_1^2 + 106903795390/15991529809*c_1100_1 + 3339216365/15991529809, c_0011_9 - 157722809460/15991529809*c_1100_1^15 + 461387438506/15991529809*c_1100_1^14 - 171219824144/15991529809*c_1100_1^13 - 439574330674/15991529809*c_1100_1^12 + 279926062534/15991529809*c_1100_1^11 - 785397017326/15991529809*c_1100_1^10 + 1769903078764/15991529809*c_1100_1^9 + 403124611004/15991529809*c_1100_1^8 - 3202008683628/15991529809*c_1100_1^7 + 1359512733610/15991529809*c_1100_1^6 + 1663515185298/15991529809*c_1100_1^5 - 1275326031656/15991529809*c_1100_1^4 - 228627967510/15991529809*c_1100_1^3 + 355032101102/15991529809*c_1100_1^2 + 39833869152/15991529809*c_1100_1 - 49908530501/15991529809, c_0101_0 - 1, c_0101_10 + 132691081200/15991529809*c_1100_1^15 - 415735156160/15991529809*c_1100_1^14 + 103612279654/15991529809*c_1100_1^13 + 471570196774/15991529809*c_1100_1^12 - 177735844278/15991529809*c_1100_1^11 + 796699479730/15991529809*c_1100_1^10 - 1599935070186/15991529809*c_1100_1^9 - 746825041334/15991529809*c_1100_1^8 + 2801516954666/15991529809*c_1100_1^7 - 1101018689690/15991529809*c_1100_1^6 - 1323596805606/15991529809*c_1100_1^5 + 1314622677168/15991529809*c_1100_1^4 + 41414873740/15991529809*c_1100_1^3 - 361599791608/15991529809*c_1100_1^2 + 73594876934/15991529809*c_1100_1 + 75752992876/15991529809, c_0101_11 - 300541751600/15991529809*c_1100_1^15 + 746230503410/15991529809*c_1100_1^14 + 195612072790/15991529809*c_1100_1^13 - 992426443942/15991529809*c_1100_1^12 - 185016207534/15991529809*c_1100_1^11 - 1526125424254/15991529809*c_1100_1^10 + 2762304230982/15991529809*c_1100_1^9 + 3131876075512/15991529809*c_1100_1^8 - 4992363995804/15991529809*c_1100_1^7 - 1181842725924/15991529809*c_1100_1^6 + 3388515912910/15991529809*c_1100_1^5 - 313569196656/15991529809*c_1100_1^4 - 1076219549320/15991529809*c_1100_1^3 + 136228266572/15991529809*c_1100_1^2 + 154649158698/15991529809*c_1100_1 - 26932600464/15991529809, c_0101_2 - 86696369990/15991529809*c_1100_1^15 + 211125060234/15991529809*c_1100_1^14 + 79840658562/15991529809*c_1100_1^13 - 286233456632/15991529809*c_1100_1^12 - 97951383860/15991529809*c_1100_1^11 - 464046543518/15991529809*c_1100_1^10 + 772472518062/15991529809*c_1100_1^9 + 1023072844812/15991529809*c_1100_1^8 - 1328426485392/15991529809*c_1100_1^7 - 500670326578/15991529809*c_1100_1^6 + 895884068006/15991529809*c_1100_1^5 + 2042916146/15991529809*c_1100_1^4 - 313627838708/15991529809*c_1100_1^3 + 27361818980/15991529809*c_1100_1^2 + 41277168726/15991529809*c_1100_1 - 26851794479/15991529809, c_0101_3 + 1, c_1001_0 + 141994810350/15991529809*c_1100_1^15 - 243521529050/15991529809*c_1100_1^14 - 227418595896/15991529809*c_1100_1^13 + 276629215132/15991529809*c_1100_1^12 + 179977568092/15991529809*c_1100_1^11 + 789381689312/15991529809*c_1100_1^10 - 698755916746/15991529809*c_1100_1^9 - 1683644446426/15991529809*c_1100_1^8 + 1280855272346/15991529809*c_1100_1^7 + 1136390525612/15991529809*c_1100_1^6 - 924257472572/15991529809*c_1100_1^5 - 373309729022/15991529809*c_1100_1^4 + 297174383094/15991529809*c_1100_1^3 + 105457552460/15991529809*c_1100_1^2 - 45811485935/15991529809*c_1100_1 - 5244604976/15991529809, c_1001_4 + 14285501740/15991529809*c_1100_1^15 - 62501384564/15991529809*c_1100_1^14 - 8534201334/15991529809*c_1100_1^13 + 115290657858/15991529809*c_1100_1^12 + 65243241564/15991529809*c_1100_1^11 + 77151907840/15991529809*c_1100_1^10 - 312162610894/15991529809*c_1100_1^9 - 318804544418/15991529809*c_1100_1^8 + 431313230586/15991529809*c_1100_1^7 + 248508015862/15991529809*c_1100_1^6 - 244792752118/15991529809*c_1100_1^5 - 67836189248/15991529809*c_1100_1^4 + 59334551010/15991529809*c_1100_1^3 + 45419201264/15991529809*c_1100_1^2 + 9512520481/15991529809*c_1100_1 - 24661166808/15991529809, c_1100_1^16 - 13/5*c_1100_1^15 - 1/5*c_1100_1^14 + 17/5*c_1100_1^13 - 1/5*c_1100_1^12 + 23/5*c_1100_1^11 - 49/5*c_1100_1^10 - 41/5*c_1100_1^9 + 19*c_1100_1^8 + 4/5*c_1100_1^7 - 66/5*c_1100_1^6 + 14/5*c_1100_1^5 + 22/5*c_1100_1^4 - c_1100_1^3 - c_1100_1^2 + 1/5*c_1100_1 + 1/10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB