Magma V2.19-8 Tue Aug 20 2013 23:44:22 on localhost [Seed = 829904053] Type ? for help. Type -D to quit. Loading file "L14n32833__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32833 geometric_solution 9.51968946 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 0213 0 1 1 1 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 1 -1 0 0 -2 2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747928699902 0.873165142546 0 4 5 4 0132 0132 0132 1023 1 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.015629588364 1.476377982254 6 0 5 0 0132 0132 3120 0213 0 1 1 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 -1 1 0 0 0 0 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747928699902 0.873165142546 6 7 7 0 1302 0132 0321 0132 0 1 1 1 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 -2 3 -1 1 0 -3 2 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080523098377 0.759412314831 8 1 8 1 0132 0132 1023 1023 1 1 1 1 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 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587624777167 0.329035051399 9 9 2 1 0132 1302 3120 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 -1 1 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 -0.138227579999 0.923270518931 2 3 9 10 0132 2031 0321 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 1 -1 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 0.662942638986 0.987108155403 10 3 3 9 1230 0132 0321 2031 0 1 1 1 0 1 -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 2 -3 1 0 0 -1 1 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080523098377 0.759412314831 4 10 4 10 0132 1302 1023 3120 1 1 1 1 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 0 0 0 0 0 0 0 2 0 -2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706427277624 0.294176172213 5 7 6 5 0132 1302 0321 2031 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 1 0 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 0.529903457789 0.429829894349 8 7 6 8 3120 3012 0132 2031 1 1 1 1 0 1 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 2 0 -2 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261981377230 0.384516135762 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_4'], 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], '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_10' : d['c_0101_4'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_5, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 251676666189414840133034/3749096204009309745761*c_0101_8^10 + 1666124586696840100371994/3749096204009309745761*c_0101_8^9 + 3736342087093479692627918/3749096204009309745761*c_0101_8^8 + 1699947032700354057072364/3749096204009309745761*c_0101_8^7 - 667934356073991464092179/3749096204009309745761*c_0101_8^6 + 26218662736894652862787/163004182783013467207*c_0101_8^5 + 2963420282336600430579683/3749096204009309745761*c_0101_8^4 + 1552748744028010969013114/3749096204009309745761*c_0101_8^3 - 1228338755302116884954903/3749096204009309745761*c_0101_8^2 + 1150187238908924721902390/3749096204009309745761*c_0101_8 + 204705833556216246209204/3749096204009309745761, c_0011_0 - 1, c_0011_10 + 51504040312670/15856803584189*c_0101_8^10 + 309750877465734/15856803584189*c_0101_8^9 + 543069062161470/15856803584189*c_0101_8^8 - 213653450652312/15856803584189*c_0101_8^7 - 556284961966175/15856803584189*c_0101_8^6 + 176539650125539/15856803584189*c_0101_8^5 + 736508347339503/15856803584189*c_0101_8^4 + 47075008314024/15856803584189*c_0101_8^3 - 624767040426902/15856803584189*c_0101_8^2 + 256767841305415/15856803584189*c_0101_8 + 44898088344710/15856803584189, c_0011_3 - 80070027764188/15856803584189*c_0101_8^10 - 480886150188800/15856803584189*c_0101_8^9 - 834886437053008/15856803584189*c_0101_8^8 + 377269951127559/15856803584189*c_0101_8^7 + 958488897157958/15856803584189*c_0101_8^6 - 207676641788782/15856803584189*c_0101_8^5 - 1142516239581404/15856803584189*c_0101_8^4 - 83268634358161/15856803584189*c_0101_8^3 + 985465049672757/15856803584189*c_0101_8^2 - 382098887794411/15856803584189*c_0101_8 - 42625941548451/15856803584189, c_0011_5 + 41451129945632/15856803584189*c_0101_8^10 + 247308500720473/15856803584189*c_0101_8^9 + 421193917008053/15856803584189*c_0101_8^8 - 216833096486711/15856803584189*c_0101_8^7 - 487428693334177/15856803584189*c_0101_8^6 + 149306631576623/15856803584189*c_0101_8^5 + 581368077686995/15856803584189*c_0101_8^4 + 7153176859502/15856803584189*c_0101_8^3 - 548619535463977/15856803584189*c_0101_8^2 + 234507667938441/15856803584189*c_0101_8 + 27227820701336/15856803584189, c_0101_0 + 77770408062270/15856803584189*c_0101_8^10 + 472929121428626/15856803584189*c_0101_8^9 + 851666673295898/15856803584189*c_0101_8^8 - 268186488113128/15856803584189*c_0101_8^7 - 878835441987942/15856803584189*c_0101_8^6 + 141176129673487/15856803584189*c_0101_8^5 + 1035525276501200/15856803584189*c_0101_8^4 + 121846180543370/15856803584189*c_0101_8^3 - 886540248752073/15856803584189*c_0101_8^2 + 339593609950899/15856803584189*c_0101_8 + 41133561316745/15856803584189, c_0101_1 + 61809262595861/15856803584189*c_0101_8^10 + 377216357421770/15856803584189*c_0101_8^9 + 683213287157925/15856803584189*c_0101_8^8 - 210116151124399/15856803584189*c_0101_8^7 - 726152164143037/15856803584189*c_0101_8^6 + 99162722885685/15856803584189*c_0101_8^5 + 852202628009350/15856803584189*c_0101_8^4 + 128854967699141/15856803584189*c_0101_8^3 - 717267935937532/15856803584189*c_0101_8^2 + 247582831763308/15856803584189*c_0101_8 + 40990252360386/15856803584189, c_0101_10 - 127568819651493/15856803584189*c_0101_8^10 - 773227723203976/15856803584189*c_0101_8^9 - 1380713702539478/15856803584189*c_0101_8^8 + 471000601327879/15856803584189*c_0101_8^7 + 1425905300256965/15856803584189*c_0101_8^6 - 313779059592385/15856803584189*c_0101_8^5 - 1758796943945888/15856803584189*c_0101_8^4 - 162390371935206/15856803584189*c_0101_8^3 + 1516071404532153/15856803584189*c_0101_8^2 - 594670925694418/15856803584189*c_0101_8 - 91855384093666/15856803584189, c_0101_4 - 76764680492918/15856803584189*c_0101_8^10 - 462799658686660/15856803584189*c_0101_8^9 - 815205586912772/15856803584189*c_0101_8^8 + 314921973141784/15856803584189*c_0101_8^7 + 862670518872986/15856803584189*c_0101_8^6 - 203481350624177/15856803584189*c_0101_8^5 - 1062718908445654/15856803584189*c_0101_8^4 - 85373229757890/15856803584189*c_0101_8^3 + 908079779205384/15856803584189*c_0101_8^2 - 382332636171154/15856803584189*c_0101_8 - 46321101433380/15856803584189, c_0101_5 + 104378454874188/15856803584189*c_0101_8^10 + 629589015250533/15856803584189*c_0101_8^9 + 1111192935426508/15856803584189*c_0101_8^8 - 421321304844328/15856803584189*c_0101_8^7 - 1170813339937709/15856803584189*c_0101_8^6 + 272986346918859/15856803584189*c_0101_8^5 + 1467742477830947/15856803584189*c_0101_8^4 + 109650861734724/15856803584189*c_0101_8^3 - 1235648982803401/15856803584189*c_0101_8^2 + 478822510202891/15856803584189*c_0101_8 + 82120056164584/15856803584189, c_0101_8^11 + 68/11*c_0101_8^10 + 127/11*c_0101_8^9 - 27/11*c_0101_8^8 - 130/11*c_0101_8^7 + 10/11*c_0101_8^6 + 155/11*c_0101_8^5 + 34/11*c_0101_8^4 - 128/11*c_0101_8^3 + 34/11*c_0101_8^2 + 14/11*c_0101_8 + 1/11, c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB