Magma V2.19-8 Wed Aug 21 2013 01:01:16 on localhost [Seed = 4055362052] Type ? for help. Type -D to quit. Loading file "L14a24647__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a24647 geometric_solution 10.79466445 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 0 1 0 0132 1302 1023 2031 2 2 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625478502089 0.033920071147 0 2 0 2 0132 0132 1023 1023 2 2 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 0 0 0 0 0 0 0 0 0 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 0 0 0 0.654532967279 0.102715802167 3 1 4 1 0132 0132 0132 1023 2 2 2 2 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 0 0 0 0 -5 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451192331377 0.563942776239 2 5 4 6 0132 0132 3012 0132 2 2 2 2 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 0 5 -5 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963190174680 1.814519761844 7 3 8 2 0132 1230 0132 0132 2 2 2 2 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 6 0 0 -6 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963190174680 1.814519761844 8 3 9 9 2310 0132 0132 3120 2 1 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 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 0.612979052266 0.784922216167 10 10 3 11 0132 1230 0132 0132 2 2 0 2 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 5 -5 0 0 0 0 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215077783833 0.612979052266 4 10 11 11 0132 3120 3012 3120 0 2 2 2 0 0 1 -1 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 -1 0 -5 5 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215077783833 0.612979052266 12 12 5 4 0132 1302 3201 0132 2 2 2 1 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 0 0 0 0 0 0 0 -6 6 0 0 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612979052266 0.784922216167 5 10 12 5 3120 1302 0213 0132 2 1 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 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 0 0 0 0 0 0.505323098803 1.024852346922 6 7 6 9 0132 3120 3012 2031 2 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490339144763 1.452550897877 7 7 6 12 3120 1230 0132 0132 2 2 2 0 0 0 1 -1 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 1 5 -6 0 0 0 0 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215077783833 0.612979052266 8 9 11 8 0132 0213 0132 2031 2 2 1 2 0 0 1 -1 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 6 -6 0 0 0 0 5 -1 0 -4 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505323098803 1.024852346922 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0011_4'], 's_3_11' : 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_10'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : negation(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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_0']), 's_0_10' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : negation(d['c_1001_4']), 'c_1100_10' : negation(d['c_1001_5']), 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : negation(d['c_0011_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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_4']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_0'], 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_3'], '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_12'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_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_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 8812913537040486545324706/79993640078253599774753755*c_1001_5^9 + 1758427172936142598815133773/2559796482504115192792120160*c_1001_5^\ 8 - 2652167945900117388190314559/319974560313014399099015020*c_1001\ _5^7 + 261395015265701550973422539/15998728015650719954950751*c_100\ 1_5^6 - 54760769726009657663477799/4413442211213991711710552*c_1001\ _5^5 + 199931919989937927249362793403/2559796482504115192792120160*\ c_1001_5^4 - 4882343323979381465744644777/2461342771638572300761654\ 0*c_1001_5^3 + 45289208462571882302353562281/3199745603130143990990\ 15020*c_1001_5^2 + 526274531267361916641592584/79993640078253599774\ 753755*c_1001_5 - 69496634918449581131016460199/2559796482504115192\ 792120160, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 232827663017776/47005601952077851*c_1001_5^9 + 1174973270531971/47005601952077851*c_1001_5^8 - 16098527845097627/47005601952077851*c_1001_5^7 + 15241456794441356/47005601952077851*c_1001_5^6 - 225747963186946/1620882825933719*c_1001_5^5 + 153664312159048659/47005601952077851*c_1001_5^4 - 243019766078678238/47005601952077851*c_1001_5^3 + 479479344746902/47005601952077851*c_1001_5^2 + 79732928966008233/47005601952077851*c_1001_5 + 21241788503926573/47005601952077851, c_0011_4 - 232827663017776/47005601952077851*c_1001_5^9 + 1174973270531971/47005601952077851*c_1001_5^8 - 16098527845097627/47005601952077851*c_1001_5^7 + 15241456794441356/47005601952077851*c_1001_5^6 - 225747963186946/1620882825933719*c_1001_5^5 + 153664312159048659/47005601952077851*c_1001_5^4 - 243019766078678238/47005601952077851*c_1001_5^3 + 479479344746902/47005601952077851*c_1001_5^2 + 32727327013930382/47005601952077851*c_1001_5 + 21241788503926573/47005601952077851, c_0101_0 + 42054835890576/47005601952077851*c_1001_5^9 - 5366151687627/47005601952077851*c_1001_5^8 + 1934676691801048/47005601952077851*c_1001_5^7 + 11189804193460708/47005601952077851*c_1001_5^6 - 260766955023760/1620882825933719*c_1001_5^5 - 26778000419629840/47005601952077851*c_1001_5^4 - 96560492513810540/47005601952077851*c_1001_5^3 + 139580182911415300/47005601952077851*c_1001_5^2 + 44858167830051048/47005601952077851*c_1001_5 + 460631430379413/47005601952077851, c_0101_1 - 77840050040416/47005601952077851*c_1001_5^9 + 249201451149856/47005601952077851*c_1001_5^8 - 4775657943553102/47005601952077851*c_1001_5^7 - 4360702337006015/47005601952077851*c_1001_5^6 - 9886423181590/1620882825933719*c_1001_5^5 + 46395023954443140/47005601952077851*c_1001_5^4 + 22015761909303366/47005601952077851*c_1001_5^3 - 72383428222239439/47005601952077851*c_1001_5^2 - 13738286725677512/47005601952077851*c_1001_5 - 39906902023891950/47005601952077851, c_0101_10 + 186158943/22837443479*c_1001_5^9 - 986704639/22837443479*c_1001_5^8 + 13139392438/22837443479*c_1001_5^7 - 15640145093/22837443479*c_1001_5^6 + 360965441/787498051*c_1001_5^5 - 128510660759/22837443479*c_1001_5^4 + 223881930628/22837443479*c_1001_5^3 - 71948347046/22837443479*c_1001_5^2 + 13283714923/22837443479*c_1001_5 - 28018838661/22837443479, c_0101_12 + c_1001_5, c_0101_2 + 213647701058064/47005601952077851*c_1001_5^9 - 1135152696096639/47005601952077851*c_1001_5^8 + 15125726703208984/47005601952077851*c_1001_5^7 - 18197554903715332/47005601952077851*c_1001_5^6 + 482408534997308/1620882825933719*c_1001_5^5 - 142688780867148315/47005601952077851*c_1001_5^4 + 258384212321956012/47005601952077851*c_1001_5^3 - 100590246069574324/47005601952077851*c_1001_5^2 + 28429643112649400/47005601952077851*c_1001_5 - 33074159063699473/47005601952077851, c_0101_3 + 8870365596126/47005601952077851*c_1001_5^9 - 104555798809822/47005601952077851*c_1001_5^8 + 919398966613746/47005601952077851*c_1001_5^7 - 4590203904896879/47005601952077851*c_1001_5^6 + 134827595717310/1620882825933719*c_1001_5^5 + 1478929414004504/47005601952077851*c_1001_5^4 + 51641538320794360/47005601952077851*c_1001_5^3 - 69800587526680120/47005601952077851*c_1001_5^2 - 66371958993174452/47005601952077851*c_1001_5 + 26222316892263672/47005601952077851, c_0101_5 - 1, c_1001_4 + 232827663017776/47005601952077851*c_1001_5^9 - 1174973270531971/47005601952077851*c_1001_5^8 + 16098527845097627/47005601952077851*c_1001_5^7 - 15241456794441356/47005601952077851*c_1001_5^6 + 225747963186946/1620882825933719*c_1001_5^5 - 153664312159048659/47005601952077851*c_1001_5^4 + 243019766078678238/47005601952077851*c_1001_5^3 - 479479344746902/47005601952077851*c_1001_5^2 - 32727327013930382/47005601952077851*c_1001_5 - 21241788503926573/47005601952077851, c_1001_5^10 - 6*c_1001_5^9 + 74*c_1001_5^8 - 132*c_1001_5^7 + 95*c_1001_5^6 - 714*c_1001_5^5 + 1662*c_1001_5^4 - 1032*c_1001_5^3 + 29*c_1001_5^2 - 70*c_1001_5 + 146 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB