Magma V2.19-8 Wed Aug 21 2013 00:54:34 on localhost [Seed = 879898208] Type ? for help. Type -D to quit. Loading file "L12n379__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n379 geometric_solution 12.38798144 oriented_manifold CS_known 0.0000000000000001 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 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 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 0.842232452809 0.886394868192 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 1 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555936407717 1.001254195510 8 0 10 9 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 0 1 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567145439027 0.265144876389 11 5 6 0 0132 1230 0132 0132 1 1 0 1 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 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 0.780375677375 1.017557661071 9 10 0 7 3012 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 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 0.460596420422 0.558779439129 12 1 3 10 0132 0132 3012 3012 1 1 1 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 -9 9 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509890147769 0.885973084692 9 8 1 3 0213 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138846284778 0.816672301948 12 8 4 1 2103 0321 0132 0132 1 1 1 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 0 1 -1 0 0 0 0 9 0 0 -9 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329517094744 0.867897798069 2 11 6 7 0132 2103 0213 0321 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 0 0 0 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770313273163 0.841264702059 6 12 2 4 0213 1302 0132 1230 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 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 0 0 0 0.885704416485 0.761665909679 11 4 5 2 3012 0132 1230 0132 1 1 1 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 0 0 0 0 0 0 0 -10 0 0 10 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720040328857 0.924391503734 3 8 12 10 0132 2103 3012 1230 1 1 1 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 0 0 0 0 0 0 0 -10 10 0 -1 0 -9 10 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287103132544 0.733093687471 5 11 7 9 0132 1230 2103 2031 1 1 0 1 0 -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 9 -9 0 0 0 0 0 1 -1 0 0 9 -10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439153270800 0.611920312860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : 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' : negation(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' : negation(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_1100_8' : d['c_1001_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_0101_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : negation(d['1']), 's_3_0' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : 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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : negation(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_7']), 'c_0110_1' : d['c_0011_9'], 'c_1100_9' : d['c_0101_12'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : 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_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1038330482313943/80236363852800*c_1100_0^11 + 850754642455843/13372727308800*c_1100_0^10 - 2762775066294781/16047272770560*c_1100_0^9 + 10385530764198707/40118181926400*c_1100_0^8 - 19613430782673071/80236363852800*c_1100_0^7 + 4493055750192607/40118181926400*c_1100_0^6 - 41406582671537/534909092352*c_1100_0^5 + 118202981679197/891515153920*c_1100_0^4 - 485752673959999/2005909096320*c_1100_0^3 + 3182714134648901/20059090963200*c_1100_0^2 - 6104487780055987/80236363852800*c_1100_0 + 10051730302147/4011818192640, c_0011_0 - 1, c_0011_10 + 330473/3551740*c_1100_0^11 - 50271831/113655680*c_1100_0^10 + 15982489/11365568*c_1100_0^9 - 265437673/113655680*c_1100_0^8 + 142818221/56827840*c_1100_0^7 - 53990943/113655680*c_1100_0^6 - 2610309/11365568*c_1100_0^5 - 496055/11365568*c_1100_0^4 + 35029895/11365568*c_1100_0^3 - 8724961/14206960*c_1100_0^2 + 1187013/14206960*c_1100_0 + 34687705/22731136, c_0011_11 - 16756415/22731136*c_1100_0^11 + 68089859/22731136*c_1100_0^10 - 158898091/22731136*c_1100_0^9 + 168489293/22731136*c_1100_0^8 - 86091653/22731136*c_1100_0^7 - 59484353/22731136*c_1100_0^6 - 8026639/5682784*c_1100_0^5 + 26422219/5682784*c_1100_0^4 - 100435875/11365568*c_1100_0^3 - 4471317/5682784*c_1100_0^2 + 887505/22731136*c_1100_0 - 50022727/22731136, c_0011_6 - 34764873/227311360*c_1100_0^11 + 224659263/227311360*c_1100_0^10 - 123739785/45462272*c_1100_0^9 + 915323709/227311360*c_1100_0^8 - 571513991/227311360*c_1100_0^7 - 67036541/227311360*c_1100_0^6 + 5273749/11365568*c_1100_0^5 + 35179997/11365568*c_1100_0^4 - 93229549/22731136*c_1100_0^3 + 7217471/3551740*c_1100_0^2 + 300701083/227311360*c_1100_0 - 34406119/45462272, c_0011_7 - 46486609/227311360*c_1100_0^11 + 99075889/227311360*c_1100_0^10 - 21290349/45462272*c_1100_0^9 - 172840613/227311360*c_1100_0^8 + 203214757/227311360*c_1100_0^7 - 75931323/227311360*c_1100_0^6 - 1350229/710348*c_1100_0^5 - 356129/5682784*c_1100_0^4 - 1889911/22731136*c_1100_0^3 - 13082429/7103480*c_1100_0^2 - 203297901/227311360*c_1100_0 - 25864917/45462272, c_0011_9 - 38120173/56827840*c_1100_0^11 + 329948421/113655680*c_1100_0^10 - 78965379/11365568*c_1100_0^9 + 929478193/113655680*c_1100_0^8 - 143768703/28413920*c_1100_0^7 - 94626867/113655680*c_1100_0^6 - 1841367/1420696*c_1100_0^5 + 25448483/5682784*c_1100_0^4 - 45677187/5682784*c_1100_0^3 + 47968679/56827840*c_1100_0^2 + 3258751/7103480*c_1100_0 - 46136313/22731136, c_0101_1 - 1, c_0101_10 - 968019/56827840*c_1100_0^11 - 9597053/28413920*c_1100_0^10 + 20421823/11365568*c_1100_0^9 - 128723129/28413920*c_1100_0^8 + 297179597/56827840*c_1100_0^7 - 59405099/28413920*c_1100_0^6 - 12200007/5682784*c_1100_0^5 - 2982273/5682784*c_1100_0^4 + 2847049/710348*c_1100_0^3 - 33587141/7103480*c_1100_0^2 - 55323151/56827840*c_1100_0 + 4099061/2841392, c_0101_12 - 56084587/227311360*c_1100_0^11 + 295662707/227311360*c_1100_0^10 - 152341607/45462272*c_1100_0^9 + 1031958361/227311360*c_1100_0^8 - 586125049/227311360*c_1100_0^7 - 272322449/227311360*c_1100_0^6 + 9647087/5682784*c_1100_0^5 + 3225055/1420696*c_1100_0^4 - 103285697/22731136*c_1100_0^3 + 46713897/28413920*c_1100_0^2 + 511185337/227311360*c_1100_0 - 31925415/45462272, c_0101_5 - 7248085/45462272*c_1100_0^11 + 33965525/45462272*c_1100_0^10 - 88359841/45462272*c_1100_0^9 + 117966219/45462272*c_1100_0^8 - 79361583/45462272*c_1100_0^7 - 23604407/45462272*c_1100_0^6 + 6998453/11365568*c_1100_0^5 + 15105271/11365568*c_1100_0^4 - 78517149/22731136*c_1100_0^3 + 13000557/11365568*c_1100_0^2 + 54639723/45462272*c_1100_0 - 53063961/45462272, c_1001_10 - 25441689/113655680*c_1100_0^11 + 56377437/56827840*c_1100_0^10 - 44742911/22731136*c_1100_0^9 + 71260571/56827840*c_1100_0^8 + 163914127/113655680*c_1100_0^7 - 145765189/56827840*c_1100_0^6 - 10519051/11365568*c_1100_0^5 + 47356119/11365568*c_1100_0^4 - 7472827/5682784*c_1100_0^3 - 69720157/28413920*c_1100_0^2 + 304839839/113655680*c_1100_0 + 5435027/2841392, c_1001_2 + 18422729/56827840*c_1100_0^11 - 72201819/56827840*c_1100_0^10 + 29622649/11365568*c_1100_0^9 - 104259497/56827840*c_1100_0^8 - 28268897/56827840*c_1100_0^7 + 97591553/56827840*c_1100_0^6 + 7183755/2841392*c_1100_0^5 - 10380493/2841392*c_1100_0^4 + 9678061/5682784*c_1100_0^3 + 23303731/7103480*c_1100_0^2 - 4726979/56827840*c_1100_0 - 7160509/11365568, c_1100_0^12 - 48/13*c_1100_0^11 + 100/13*c_1100_0^10 - 74/13*c_1100_0^9 - 4/13*c_1100_0^8 + 86/13*c_1100_0^7 + 35/13*c_1100_0^6 - 80/13*c_1100_0^5 + 110/13*c_1100_0^4 + 86/13*c_1100_0^3 - 23/13*c_1100_0^2 + 30/13*c_1100_0 + 25/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB