Magma V2.19-8 Tue Aug 20 2013 23:52:51 on localhost [Seed = 1747846055] Type ? for help. Type -D to quit. Loading file "L13n4347__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4347 geometric_solution 10.24031132 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509049643360 0.539963108299 0 3 5 4 0132 2103 0132 0132 0 1 1 0 0 1 -1 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 1 -1 0 0 0 0 0 0 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432797700887 0.714929025838 3 0 6 0 3012 0132 0132 1302 1 1 1 0 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 -1 0 12 0 -12 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921812527727 1.013839283358 6 1 0 2 1023 2103 0132 1230 1 1 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 0 0 0 13 -1 -12 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.178131756204 1.869139505002 7 8 1 9 0132 0132 0132 0132 0 1 1 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 0 0 0 0 0 0 0 -12 0 0 12 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312818600436 1.329176396703 7 10 9 1 2103 0132 0132 0132 0 1 0 1 0 -1 0 1 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 1 0 -1 0 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171051460634 0.560501884938 11 3 7 2 0132 1023 1230 0132 1 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 -1 1 0 0 -12 12 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380334265449 1.023612230473 4 8 5 6 0132 0213 2103 3012 0 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 -12 0 12 12 1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832229748866 0.712861247909 9 4 7 11 0321 0132 0213 3012 0 1 1 1 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 -12 0 12 0 13 -13 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365721869930 0.288118916789 8 10 4 5 0321 3012 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 -1 0 0 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 -1 0 0 1 -13 0 0 13 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.312913415650 0.715709026915 9 5 11 11 1230 0132 3012 2103 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 1 -2 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 1.323943116260 0.856753384378 6 10 8 10 0132 1230 1230 2103 1 1 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 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442709515151 0.629373994648 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : 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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_11']), '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' : negation(d['1']), 's_3_6' : negation(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' : 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' : 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_4']), 'c_0110_6' : d['c_0101_11'], '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_0101_6'], 'c_0110_10' : d['c_0011_9'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0110_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 76140130022403/246294084160*c_1100_1^13 - 22765552116029/49258816832*c_1100_1^12 - 163759061916193/49258816832*c_1100_1^11 + 1413717158374197/246294084160*c_1100_1^10 + 612587405675943/30786760520*c_1100_1^9 - 263985612693261/15393380260*c_1100_1^8 - 13472109661168879/246294084160*c_1100_1^7 + 1415226917207211/246294084160*c_1100_1^6 + 7924994577659937/123147042080*c_1100_1^5 + 676786437223207/30786760520*c_1100_1^4 - 3564509933541937/246294084160*c_1100_1^3 + 952367728646789/246294084160*c_1100_1^2 - 1198847805910783/246294084160*c_1100_1 + 152046692832149/246294084160, c_0011_0 - 1, c_0011_10 - 14024684569/30786760520*c_1100_1^13 + 3513984239/6157352104*c_1100_1^12 + 31116339403/6157352104*c_1100_1^11 - 223208476271/30786760520*c_1100_1^10 - 120275651884/3848345065*c_1100_1^9 + 68808747716/3848345065*c_1100_1^8 + 2648893097477/30786760520*c_1100_1^7 + 381768648687/30786760520*c_1100_1^6 - 1458306641371/15393380260*c_1100_1^5 - 222982792881/3848345065*c_1100_1^4 + 307147864091/30786760520*c_1100_1^3 + 27513982833/30786760520*c_1100_1^2 + 240884846589/30786760520*c_1100_1 + 15729396593/30786760520, c_0011_11 + 53662098139/61573521040*c_1100_1^13 - 17086392581/12314704208*c_1100_1^12 - 114433416185/12314704208*c_1100_1^11 + 1057693108381/61573521040*c_1100_1^10 + 423168879879/7696690130*c_1100_1^9 - 210789810653/3848345065*c_1100_1^8 - 9362601764727/61573521040*c_1100_1^7 + 2104104698483/61573521040*c_1100_1^6 + 5744315796201/30786760520*c_1100_1^5 + 330120464541/7696690130*c_1100_1^4 - 3375034388841/61573521040*c_1100_1^3 + 742865472077/61573521040*c_1100_1^2 - 886284764999/61573521040*c_1100_1 + 206145263677/61573521040, c_0011_4 - 601726715629/541846985152*c_1100_1^13 + 964331478655/541846985152*c_1100_1^12 + 580205753873/49258816832*c_1100_1^11 - 11877896131355/541846985152*c_1100_1^10 - 4702138091625/67730873144*c_1100_1^9 + 1176916331559/16932718286*c_1100_1^8 + 103422753892625/541846985152*c_1100_1^7 - 22828488206917/541846985152*c_1100_1^6 - 62699865613535/270923492576*c_1100_1^5 - 3743714791763/67730873144*c_1100_1^4 + 33656476892143/541846985152*c_1100_1^3 - 9245677726539/541846985152*c_1100_1^2 + 10886046139121/541846985152*c_1100_1 - 2083793481259/541846985152, c_0011_9 + 707159525243/1354617462880*c_1100_1^13 - 231257814149/270923492576*c_1100_1^12 - 135517202011/24629408416*c_1100_1^11 + 14176463193597/1354617462880*c_1100_1^10 + 5458611140803/169327182860*c_1100_1^9 - 2837417772741/84663591430*c_1100_1^8 - 119767821411559/1354617462880*c_1100_1^7 + 29696975736931/1354617462880*c_1100_1^6 + 72996455818777/677308731440*c_1100_1^5 + 3957779972367/169327182860*c_1100_1^4 - 40914794618297/1354617462880*c_1100_1^3 + 11333224375309/1354617462880*c_1100_1^2 - 13146179025143/1354617462880*c_1100_1 + 3295401315069/1354617462880, c_0101_0 - 1, c_0101_1 + 16251234501/123147042080*c_1100_1^13 - 1459061371/24629408416*c_1100_1^12 - 39772139943/24629408416*c_1100_1^11 + 115991980579/123147042080*c_1100_1^10 + 168845620141/15393380260*c_1100_1^9 + 6930492509/3848345065*c_1100_1^8 - 3762603160713/123147042080*c_1100_1^7 - 2789324446883/123147042080*c_1100_1^6 + 1778394873239/61573521040*c_1100_1^5 + 590814600139/15393380260*c_1100_1^4 + 627879929161/123147042080*c_1100_1^3 - 594793825997/123147042080*c_1100_1^2 - 39902623081/123147042080*c_1100_1 - 146415592877/123147042080, c_0101_10 - 13296726437/123147042080*c_1100_1^13 + 1321316331/24629408416*c_1100_1^12 + 32385617495/24629408416*c_1100_1^11 - 102788693763/123147042080*c_1100_1^10 - 136410695387/15393380260*c_1100_1^9 - 4303358733/3848345065*c_1100_1^8 + 3024487398041/123147042080*c_1100_1^7 + 2188271697571/123147042080*c_1100_1^6 - 1416885638383/61573521040*c_1100_1^5 - 478843681443/15393380260*c_1100_1^4 - 570340406937/123147042080*c_1100_1^3 + 495422397549/123147042080*c_1100_1^2 + 230768013817/123147042080*c_1100_1 + 141592123069/123147042080, c_0101_11 + 16251234501/123147042080*c_1100_1^13 - 1459061371/24629408416*c_1100_1^12 - 39772139943/24629408416*c_1100_1^11 + 115991980579/123147042080*c_1100_1^10 + 168845620141/15393380260*c_1100_1^9 + 6930492509/3848345065*c_1100_1^8 - 3762603160713/123147042080*c_1100_1^7 - 2789324446883/123147042080*c_1100_1^6 + 1778394873239/61573521040*c_1100_1^5 + 590814600139/15393380260*c_1100_1^4 + 627879929161/123147042080*c_1100_1^3 - 594793825997/123147042080*c_1100_1^2 - 39902623081/123147042080*c_1100_1 - 146415592877/123147042080, c_0101_6 + c_1100_1, c_0110_2 - 511383723207/246294084160*c_1100_1^13 + 151706916953/49258816832*c_1100_1^12 + 1103210670301/49258816832*c_1100_1^11 - 9443545728593/246294084160*c_1100_1^10 - 4138361763787/30786760520*c_1100_1^9 + 439653243911/3848345065*c_1100_1^8 + 91286986006931/246294084160*c_1100_1^7 - 8918069479759/246294084160*c_1100_1^6 - 53922830248893/123147042080*c_1100_1^5 - 4673813505773/30786760520*c_1100_1^4 + 25071229447533/246294084160*c_1100_1^3 - 5582962284961/246294084160*c_1100_1^2 + 7449353861907/246294084160*c_1100_1 - 1043133592161/246294084160, c_1100_1^14 - 2*c_1100_1^13 - 10*c_1100_1^12 + 24*c_1100_1^11 + 55*c_1100_1^10 - 88*c_1100_1^9 - 149*c_1100_1^8 + 108*c_1100_1^7 + 199*c_1100_1^6 - 34*c_1100_1^5 - 83*c_1100_1^4 + 36*c_1100_1^3 - 22*c_1100_1^2 + 10*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB