Magma V2.19-8 Wed Aug 21 2013 01:06:41 on localhost [Seed = 1747873940] Type ? for help. Type -D to quit. Loading file "L14n32822__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32822 geometric_solution 11.30033907 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 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 -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 -0.344064266735 0.324605151394 0 5 4 6 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.767981726850 1.657211775454 7 0 9 8 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335575273280 0.878186069380 9 6 10 0 2031 3120 0132 0132 0 0 0 1 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 -1 0 1 0 0 0 0 -1 0 0 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784897740891 0.923561244133 11 1 0 11 0132 1230 0132 1023 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 0 0 0 1 -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 0 0 0 0.643769061365 0.971679015239 7 1 10 7 1023 0132 2310 2103 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 0.441810824030 0.725676066129 8 3 1 9 1230 3120 0132 2031 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 0 0 0 -7 0 7 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 -0.297951590757 0.251109809911 2 5 11 5 0132 1023 2310 2103 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 0.350993906120 0.741561414511 12 6 2 12 0132 3012 0132 2031 0 1 0 0 0 0 0 0 0 0 1 -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 -1 0 7 -6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584811833390 0.849524319812 12 6 3 2 2103 1302 1302 0132 0 1 1 0 0 0 0 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 0 0 0 0 0 7 -7 6 -7 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584811833390 0.849524319812 12 5 11 3 3201 3201 1023 0132 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 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 0.627422034913 1.120091177202 4 7 10 4 0132 3201 1023 1023 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 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 0.643769061365 0.971679015239 8 8 9 10 0132 1302 2103 2310 1 1 0 0 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 6 -6 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 0.450207967549 0.798652961071 ==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_0101_11'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_1001_3'], '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'], 'c_0101_12' : negation(d['c_0011_3']), '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' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1100_0']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_10'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_12']), 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], '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_3']), 'c_0110_1' : negation(d['c_0011_12']), 'c_1100_9' : d['c_0101_3'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_12']), 's_2_9' : negation(d['1'])})} 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_3, c_0011_6, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_1001_2, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3368869322870294/11685752780725*c_1100_0^8 - 32937126689530027/23371505561450*c_1100_0^7 - 34846142747525689/11685752780725*c_1100_0^6 + 6091155408822834/11685752780725*c_1100_0^5 + 159018437664279361/23371505561450*c_1100_0^4 + 121048543078271961/23371505561450*c_1100_0^3 + 46932114529588983/23371505561450*c_1100_0^2 - 99774995631951023/23371505561450*c_1100_0 - 18966400104792367/2337150556145, c_0011_0 - 1, c_0011_10 + 450772/4468775*c_1100_0^8 + 1546382/4468775*c_1100_0^7 + 2344041/4468775*c_1100_0^6 - 844153/893755*c_1100_0^5 - 3803879/4468775*c_1100_0^4 + 183358/4468775*c_1100_0^3 - 2314526/4468775*c_1100_0^2 + 1676053/893755*c_1100_0 - 143306/178751, c_0011_11 - 63286/4468775*c_1100_0^8 - 483066/4468775*c_1100_0^7 - 1241083/4468775*c_1100_0^6 - 192721/893755*c_1100_0^5 + 2621552/4468775*c_1100_0^4 + 1976171/4468775*c_1100_0^3 + 3378813/4468775*c_1100_0^2 + 145996/893755*c_1100_0 - 151976/178751, c_0011_12 + 1, c_0011_3 + 72671/893755*c_1100_0^8 + 309892/893755*c_1100_0^7 + 577699/893755*c_1100_0^6 - 449842/893755*c_1100_0^5 - 1492262/893755*c_1100_0^4 - 972013/893755*c_1100_0^3 - 542849/893755*c_1100_0^2 + 1525452/893755*c_1100_0 + 203082/178751, c_0011_6 + 6339/178751*c_1100_0^8 + 26756/178751*c_1100_0^7 + 52008/178751*c_1100_0^6 - 12984/178751*c_1100_0^5 - 36327/178751*c_1100_0^4 + 31297/178751*c_1100_0^3 - 161513/178751*c_1100_0^2 + 4872/178751*c_1100_0 + 31276/178751, c_0101_1 - 94184/893755*c_1100_0^8 - 80359/178751*c_1100_0^7 - 768498/893755*c_1100_0^6 + 455077/893755*c_1100_0^5 + 1564028/893755*c_1100_0^4 + 994046/893755*c_1100_0^3 + 1062983/893755*c_1100_0^2 - 1281262/893755*c_1100_0 - 360070/178751, c_0101_10 + 66982/893755*c_1100_0^8 + 276856/893755*c_1100_0^7 + 106577/178751*c_1100_0^6 - 344288/893755*c_1100_0^5 - 1016124/893755*c_1100_0^4 - 154564/178751*c_1100_0^3 - 25613/178751*c_1100_0^2 + 667423/893755*c_1100_0 - 14450/178751, c_0101_11 + 94184/893755*c_1100_0^8 + 80359/178751*c_1100_0^7 + 768498/893755*c_1100_0^6 - 455077/893755*c_1100_0^5 - 1564028/893755*c_1100_0^4 - 994046/893755*c_1100_0^3 - 1062983/893755*c_1100_0^2 + 1281262/893755*c_1100_0 + 360070/178751, c_0101_3 + 154328/893755*c_1100_0^8 + 637466/893755*c_1100_0^7 + 1204252/893755*c_1100_0^6 - 807946/893755*c_1100_0^5 - 2251986/893755*c_1100_0^4 - 1188604/893755*c_1100_0^3 - 830992/893755*c_1100_0^2 + 1871946/893755*c_1100_0 + 77178/178751, c_1001_2 - 66982/893755*c_1100_0^8 - 276856/893755*c_1100_0^7 - 106577/178751*c_1100_0^6 + 344288/893755*c_1100_0^5 + 1016124/893755*c_1100_0^4 + 154564/178751*c_1100_0^3 + 25613/178751*c_1100_0^2 - 667423/893755*c_1100_0 + 14450/178751, c_1001_3 + 148796/893755*c_1100_0^8 + 578163/893755*c_1100_0^7 + 209795/178751*c_1100_0^6 - 897284/893755*c_1100_0^5 - 1718292/893755*c_1100_0^4 - 229648/178751*c_1100_0^3 - 310093/178751*c_1100_0^2 + 2100079/893755*c_1100_0 + 250707/178751, c_1100_0^9 + 4*c_1100_0^8 + 6*c_1100_0^7 - 11*c_1100_0^6 - 22*c_1100_0^5 + 3*c_1100_0^4 + 9*c_1100_0^3 + 21*c_1100_0^2 + 15*c_1100_0 - 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.530 seconds, Total memory usage: 32.09MB