Magma V2.19-8 Wed Aug 21 2013 00:51:36 on localhost [Seed = 4256950406] Type ? for help. Type -D to quit. Loading file "L11n167__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n167 geometric_solution 12.16956244 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 1 0 2 0 -3 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 0.865817903856 0.942034795892 0 3 6 5 0132 3120 0132 0132 1 0 0 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 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752397733305 0.745504050931 4 0 4 7 3012 0132 2310 0132 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 1 0 -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 0.554817242998 0.294296636727 8 1 7 0 0132 3120 1302 0132 1 0 0 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 0 0 0 1 0 -1 -3 0 0 3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196750938556 0.608751548887 9 2 0 2 0132 3201 0132 1230 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 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 0.984743203953 1.352907519573 8 10 1 10 2103 0132 0132 1230 1 0 1 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 1 0 -1 0 0 -2 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425290576867 1.099943880236 9 10 11 1 3120 0213 0132 0132 1 0 1 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 0 0 0 0 0 0 0 0 1 0 -1 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642244912998 0.762753557525 3 9 2 12 2031 3201 0132 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 0 1 -1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563193594661 1.078826303525 3 12 5 11 0132 0132 2103 3120 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 3 0 0 -3 0 3 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850390593424 0.978024898793 4 11 7 6 0132 2103 2310 3120 1 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 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230647332003 0.486070668839 5 5 6 12 3012 0132 0213 3120 1 1 0 1 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 0 1 1 0 -1 0 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373147360787 0.714171613346 8 9 12 6 3120 2103 1230 0132 1 0 1 1 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 0 0 0 3 0 -3 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 0.219974946263 0.498609121539 10 8 7 11 3120 0132 0132 3012 1 1 0 1 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 -1 1 0 0 0 0 0 -2 -1 0 3 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294847299536 0.803088730629 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : negation(d['c_0101_12']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_3_10' : 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_0011_10'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_12']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['c_0011_4'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], '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_0110_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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' : negation(d['c_0011_0']), '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_1'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_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_11, c_0011_12, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_7, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 1/5*c_0110_10^2 + 7/5, c_0011_0 - 1, c_0011_10 - c_0110_10^2 + 3*c_0110_10 - 2, c_0011_11 + c_0110_10 - 1, c_0011_12 + 1, c_0011_4 - c_0110_10 + 2, c_0011_6 + c_0110_10^2 - 3*c_0110_10 + 3, c_0011_7 - c_0110_10^2 + 3*c_0110_10 - 3, c_0101_0 - 1, c_0101_1 - c_0110_10^2 + 3*c_0110_10 - 1, c_0101_12 + c_0110_10^2 - 2*c_0110_10 + 1, c_0101_2 - c_0110_10^2 + 4*c_0110_10 - 3, c_0101_7 + c_0110_10 - 2, c_0110_10^3 - 5*c_0110_10^2 + 8*c_0110_10 - 5 ], 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_12, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_7, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 55278037723/2277039546*c_0110_10^10 - 791961587245/4554079092*c_0110_10^9 - 382807171141/759013182*c_0110_10^8 - 117440494211/168669596*c_0110_10^7 - 427624996672/1138519773*c_0110_10^6 + 610182064801/4554079092*c_0110_10^5 + 566613789233/2277039546*c_0110_10^4 - 36796892066/379506591*c_0110_10^3 - 258745503137/4554079092*c_0110_10^2 - 23366919112/1138519773*c_0110_10 + 66646616441/4554079092, c_0011_0 - 1, c_0011_10 + 342956/3757491*c_0110_10^10 + 1370761/3757491*c_0110_10^9 + 659543/1252497*c_0110_10^8 + 62879/417499*c_0110_10^7 - 437948/3757491*c_0110_10^6 - 4890328/3757491*c_0110_10^5 - 5716177/3757491*c_0110_10^4 - 515902/1252497*c_0110_10^3 + 7244153/3757491*c_0110_10^2 + 6470179/3757491*c_0110_10 - 3336767/3757491, c_0011_11 + 821245/3757491*c_0110_10^10 + 3980048/3757491*c_0110_10^9 + 2695114/1252497*c_0110_10^8 + 931098/417499*c_0110_10^7 + 6184037/3757491*c_0110_10^6 - 6297620/3757491*c_0110_10^5 - 18492125/3757491*c_0110_10^4 - 6231062/1252497*c_0110_10^3 - 3943154/3757491*c_0110_10^2 + 15633329/3757491*c_0110_10 - 5197372/3757491, c_0011_12 + 157814/1252497*c_0110_10^10 + 491017/1252497*c_0110_10^9 + 207457/417499*c_0110_10^8 + 123584/417499*c_0110_10^7 + 787132/1252497*c_0110_10^6 - 1439800/1252497*c_0110_10^5 + 37421/1252497*c_0110_10^4 - 600061/417499*c_0110_10^3 + 2305802/1252497*c_0110_10^2 - 2014853/1252497*c_0110_10 + 106549/1252497, c_0011_4 + 1144030/3757491*c_0110_10^10 + 3439463/3757491*c_0110_10^9 + 1133119/1252497*c_0110_10^8 - 162411/417499*c_0110_10^7 - 2008231/3757491*c_0110_10^6 - 18564791/3757491*c_0110_10^5 - 3742790/3757491*c_0110_10^4 - 3041864/1252497*c_0110_10^3 + 34687249/3757491*c_0110_10^2 - 7813138/3757491*c_0110_10 + 253793/3757491, c_0011_6 - 440339/3757491*c_0110_10^10 - 842728/3757491*c_0110_10^9 + 123214/1252497*c_0110_10^8 + 343893/417499*c_0110_10^7 + 2517239/3757491*c_0110_10^6 + 8508136/3757491*c_0110_10^5 - 4631360/3757491*c_0110_10^4 + 73951/1252497*c_0110_10^3 - 21770723/3757491*c_0110_10^2 + 10143077/3757491*c_0110_10 - 979927/3757491, c_0011_7 - 140239/1252497*c_0110_10^10 - 482327/1252497*c_0110_10^9 - 192044/417499*c_0110_10^8 - 646/417499*c_0110_10^7 + 138340/1252497*c_0110_10^6 + 1931189/1252497*c_0110_10^5 + 1198283/1252497*c_0110_10^4 + 242554/417499*c_0110_10^3 - 3425164/1252497*c_0110_10^2 - 1145948/1252497*c_0110_10 + 1568125/1252497, c_0101_0 - 1, c_0101_1 - 482863/3757491*c_0110_10^10 - 1611689/3757491*c_0110_10^9 - 839632/1252497*c_0110_10^8 - 271042/417499*c_0110_10^7 - 3784232/3757491*c_0110_10^6 + 3657047/3757491*c_0110_10^5 + 842864/3757491*c_0110_10^4 + 3404003/1252497*c_0110_10^3 - 4946650/3757491*c_0110_10^2 + 13438876/3757491*c_0110_10 - 2950391/3757491, c_0101_12 + 482138/1252497*c_0110_10^10 + 1684378/1252497*c_0110_10^9 + 769512/417499*c_0110_10^8 + 308006/417499*c_0110_10^7 + 555127/1252497*c_0110_10^6 - 6381856/1252497*c_0110_10^5 - 3881659/1252497*c_0110_10^4 - 1669967/417499*c_0110_10^3 + 9120899/1252497*c_0110_10^2 + 155410/1252497*c_0110_10 - 1440965/1252497, c_0101_2 - 1324793/3757491*c_0110_10^10 - 5409547/3757491*c_0110_10^9 - 3332675/1252497*c_0110_10^8 - 1096793/417499*c_0110_10^7 - 9326818/3757491*c_0110_10^6 + 11068531/3757491*c_0110_10^5 + 16077238/3757491*c_0110_10^4 + 10252885/1252497*c_0110_10^3 - 6371504/3757491*c_0110_10^2 + 4292210/3757491*c_0110_10 - 2751409/3757491, c_0101_7 - 841930/3757491*c_0110_10^10 - 3797858/3757491*c_0110_10^9 - 2493043/1252497*c_0110_10^8 - 825751/417499*c_0110_10^7 - 5542586/3757491*c_0110_10^6 + 7411484/3757491*c_0110_10^5 + 15234374/3757491*c_0110_10^4 + 6848882/1252497*c_0110_10^3 - 1424854/3757491*c_0110_10^2 - 9146666/3757491*c_0110_10 + 198982/3757491, c_0110_10^11 + 4*c_0110_10^10 + 7*c_0110_10^9 + 6*c_0110_10^8 + 5*c_0110_10^7 - 10*c_0110_10^6 - 12*c_0110_10^5 - 19*c_0110_10^4 + 10*c_0110_10^3 + c_0110_10^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB