Magma V2.19-8 Tue Aug 20 2013 23:40:30 on localhost [Seed = 1031494068] Type ? for help. Type -D to quit. Loading file "L11a369__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a369 geometric_solution 10.37849479 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 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 0 1 -1 -3 0 0 3 -3 2 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103222306519 0.768832642720 0 3 6 5 0132 2103 0132 0132 0 0 0 1 0 0 0 0 -1 0 0 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 -1 1 0 3 0 0 -3 1 -1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381406182856 1.489373318416 3 0 4 7 2103 0132 2103 0132 0 0 0 1 0 0 0 0 -1 0 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 2 0 0 -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 -0.399886536873 1.273045755139 6 1 2 0 0132 2103 2103 0132 0 0 0 1 0 0 0 0 -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 1 0 -1 2 0 -2 0 0 1 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702388273858 0.418968146188 2 8 0 9 2103 0132 0132 0132 0 0 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 -1 1 0 0 0 -3 3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727228338917 0.787088113668 10 7 1 10 0132 3120 0132 2031 0 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 0 0 0 -3 0 3 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 0.621558258774 0.731144645943 3 10 10 1 0132 1230 0132 0132 0 0 1 0 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 1 0 -1 -2 0 2 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621558258774 0.731144645943 8 5 2 8 0321 3120 0132 1023 0 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 0 0 0 0 0 2 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366729253674 0.685396663596 7 4 9 7 0321 0132 1302 1023 0 0 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 0 0 0 0 1 -3 2 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 0.366729253674 0.685396663596 8 9 4 9 2031 2310 0132 3201 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 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755200851951 0.576993409104 5 5 6 6 0132 1302 3012 0132 0 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 3 0 -1 -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 0.325058720149 0.793939580276 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_0110_9'], 'c_1010_10' : d['c_1001_6'], '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_0011_3'], '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' : 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' : 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_1100_9' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_1001_6']), 'c_1100_1' : negation(d['c_1001_6']), 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_1001_6']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0110_9']), 'c_1010_8' : d['c_0011_4'], 's_3_1' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : 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' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_0'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_4'], 'c_1100_8' : d['c_0101_9']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_9, c_0110_9, c_1001_0, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 2173685651/595*c_1001_6^14 - 291629361284/6545*c_1001_6^13 + 91448867813/385*c_1001_6^12 - 1023598160437/1309*c_1001_6^11 + 11700117226984/6545*c_1001_6^10 - 19789338348796/6545*c_1001_6^9 + 25695728891614/6545*c_1001_6^8 - 26094143200039/6545*c_1001_6^7 + 4173892571467/1309*c_1001_6^6 - 21986540923/11*c_1001_6^5 + 6318106780123/6545*c_1001_6^4 - 2271306211158/6545*c_1001_6^3 + 113900097175/1309*c_1001_6^2 - 87936052377/6545*c_1001_6 + 6216291979/6545, c_0011_0 - 1, c_0011_10 + 563145/17*c_1001_6^14 - 6822668/17*c_1001_6^13 + 36075757/17*c_1001_6^12 - 117793465/17*c_1001_6^11 + 266943851/17*c_1001_6^10 - 447395164/17*c_1001_6^9 + 575371496/17*c_1001_6^8 - 578274027/17*c_1001_6^7 + 457280351/17*c_1001_6^6 - 282993779/17*c_1001_6^5 + 134652156/17*c_1001_6^4 - 47539824/17*c_1001_6^3 + 11649562/17*c_1001_6^2 - 1746564/17*c_1001_6 + 119014/17, c_0011_3 + 425106/17*c_1001_6^14 - 5150284/17*c_1001_6^13 + 27232801/17*c_1001_6^12 - 88919698/17*c_1001_6^11 + 201510015/17*c_1001_6^10 - 337728683/17*c_1001_6^9 + 434335139/17*c_1001_6^8 - 436526164/17*c_1001_6^7 + 345190716/17*c_1001_6^6 - 213625675/17*c_1001_6^5 + 101645897/17*c_1001_6^4 - 35886739/17*c_1001_6^3 + 8794006/17*c_1001_6^2 - 1318442/17*c_1001_6 + 89841/17, c_0011_4 - 442684/17*c_1001_6^14 + 5368377/17*c_1001_6^13 - 28420166/17*c_1001_6^12 + 92914834/17*c_1001_6^11 - 210861477/17*c_1001_6^10 + 353951103/17*c_1001_6^9 - 455980389/17*c_1001_6^8 + 459174040/17*c_1001_6^7 - 363918970/17*c_1001_6^6 + 225825334/17*c_1001_6^5 - 107812358/17*c_1001_6^4 + 38231141/17*c_1001_6^3 - 9425828/17*c_1001_6^2 + 1425831/17*c_1001_6 - 98426/17, c_0011_9 + 1034*c_1001_6^14 - 12829*c_1001_6^13 + 69845*c_1001_6^12 - 235008*c_1001_6^11 + 550086*c_1001_6^10 - 954260*c_1001_6^9 + 1273250*c_1001_6^8 - 1332228*c_1001_6^7 + 1101662*c_1001_6^6 - 717627*c_1001_6^5 + 362733*c_1001_6^4 - 137906*c_1001_6^3 + 37166*c_1001_6^2 - 6316*c_1001_6 + 505, c_0101_0 - 1, c_0101_1 + 563145/17*c_1001_6^14 - 6822668/17*c_1001_6^13 + 36075757/17*c_1001_6^12 - 117793465/17*c_1001_6^11 + 266943851/17*c_1001_6^10 - 447395164/17*c_1001_6^9 + 575371496/17*c_1001_6^8 - 578274027/17*c_1001_6^7 + 457280351/17*c_1001_6^6 - 282993779/17*c_1001_6^5 + 134652156/17*c_1001_6^4 - 47539824/17*c_1001_6^3 + 11649562/17*c_1001_6^2 - 1746564/17*c_1001_6 + 119014/17, c_0101_9 - 23672*c_1001_6^14 + 289639*c_1001_6^13 - 1549868*c_1001_6^12 + 5121257*c_1001_6^11 - 11752533*c_1001_6^10 + 19955373*c_1001_6^9 - 26013794*c_1001_6^8 + 26525760*c_1001_6^7 - 21306220*c_1001_6^6 + 13418071*c_1001_6^5 - 6513606*c_1001_6^4 + 2355079*c_1001_6^3 - 594403*c_1001_6^2 + 92422*c_1001_6 - 6572, c_0110_9 + 8668*c_1001_6^14 - 108920*c_1001_6^13 + 600992*c_1001_6^12 - 2044532*c_1001_6^11 + 4830868*c_1001_6^10 - 8441723*c_1001_6^9 + 11321539*c_1001_6^8 - 11881001*c_1001_6^7 + 9828170*c_1001_6^6 - 6384843*c_1001_6^5 + 3204717*c_1001_6^4 - 1202436*c_1001_6^3 + 316584*c_1001_6^2 - 51604*c_1001_6 + 3857, c_1001_0 + 11*c_1001_6^14 - 138*c_1001_6^13 + 762*c_1001_6^12 - 2604*c_1001_6^11 + 6204*c_1001_6^10 - 10982*c_1001_6^9 + 14998*c_1001_6^8 - 16130*c_1001_6^7 + 13791*c_1001_6^6 - 9370*c_1001_6^5 + 5008*c_1001_6^4 - 2060*c_1001_6^3 + 627*c_1001_6^2 - 131*c_1001_6 + 15, c_1001_6^15 - 138/11*c_1001_6^14 + 762/11*c_1001_6^13 - 2604/11*c_1001_6^12 + 564*c_1001_6^11 - 10982/11*c_1001_6^10 + 14998/11*c_1001_6^9 - 16130/11*c_1001_6^8 + 13791/11*c_1001_6^7 - 9370/11*c_1001_6^6 + 5008/11*c_1001_6^5 - 2060/11*c_1001_6^4 + 57*c_1001_6^3 - 12*c_1001_6^2 + 17/11*c_1001_6 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB