Magma V2.19-8 Wed Aug 21 2013 01:01:55 on localhost [Seed = 3246905966] Type ? for help. Type -D to quit. Loading file "L14n13440__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13440 geometric_solution 11.90968415 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 0 0 0 0 0 -1 0 1 -1 0 2 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000889219180 0.766081021624 0 4 4 5 0132 0132 1302 0132 1 0 0 1 0 0 0 0 -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 0 0 0 1 0 -1 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 0.387479853816 0.897875974051 0 0 7 6 3012 0132 0132 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 -1 0 -1 0 0 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630021289586 0.482218555182 8 5 6 0 0132 0132 1302 0132 1 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 2 0 0 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242046419618 1.071482682485 1 1 6 7 2031 0132 0213 1302 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594822775626 0.938884670815 9 3 1 8 0132 0132 0132 2103 1 0 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 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 0.205037252279 1.302257174213 3 4 2 10 2031 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 -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 1.140592225358 0.629160821359 10 10 4 2 1023 0321 2031 0132 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 -1 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 1.225291410816 1.293553794912 3 11 12 5 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 -2 0 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 0.703200443035 0.793979180457 5 11 12 12 0132 1023 0213 3120 1 0 0 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 1 0 -1 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 -0.206311889090 0.999311934399 11 7 6 7 2310 1023 0132 0321 1 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 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 0.614035307345 0.407467226554 9 8 10 12 1023 0132 3201 3012 1 1 0 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 -1 0 1 0 1 1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396844055455 0.499655967199 9 9 11 8 3120 0213 1230 0132 1 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 0 0 0 0 0 2 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793688110910 0.999311934399 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : negation(d['c_0110_4']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0101_2'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], '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' : 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' : 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_0101_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0110_4']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0110_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0110_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0011_12']), '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'], 'c_1100_12' : negation(d['c_0011_12']), '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_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_12, c_0011_6, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_6, c_0101_7, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 7627963249624663117/47494934369316*c_1001_0^20 + 33350121943062604331/31663289579544*c_1001_0^19 - 5654026563952596631/1032498573246*c_1001_0^18 + 891699049540978153043/47494934369316*c_1001_0^17 - 2762587235872475806147/47494934369316*c_1001_0^16 + 2424131401234130224079/15831644789772*c_1001_0^15 - 16849666521888592567669/47494934369316*c_1001_0^14 + 17267283830374227545053/23747467184658*c_1001_0^13 - 15721494720065122879631/11873733592329*c_1001_0^12 + 22601659009697067152537/10554429859848*c_1001_0^11 - 145844711788353303715939/47494934369316*c_1001_0^10 + 367396667225247063390047/94989868738632*c_1001_0^9 - 397773878812581820166117/94989868738632*c_1001_0^8 + 179601280766345911829977/47494934369316*c_1001_0^7 - 262067921567677499670029/94989868738632*c_1001_0^6 + 7130829258439897986331/4523327082792*c_1001_0^5 - 5401972653609199612433/7915822394886*c_1001_0^4 + 6793259799596368637557/31663289579544*c_1001_0^3 - 4366313792625333225227/94989868738632*c_1001_0^2 + 2058013492788716437/344166191082*c_1001_0 - 33764590588002579671/94989868738632, c_0011_0 - 1, c_0011_10 + 140*c_1001_0^20 - 964*c_1001_0^19 + 5069*c_1001_0^18 - 17895*c_1001_0^17 + 55885*c_1001_0^16 - 149468*c_1001_0^15 + 351070*c_1001_0^14 - 730122*c_1001_0^13 + 1350204*c_1001_0^12 - 2221008*c_1001_0^11 + 3245023*c_1001_0^10 - 4178549*c_1001_0^9 + 4654800*c_1001_0^8 - 4366564*c_1001_0^7 + 3349402*c_1001_0^6 - 2040602*c_1001_0^5 + 957472*c_1001_0^4 - 332848*c_1001_0^3 + 80840*c_1001_0^2 - 12304*c_1001_0 + 890, c_0011_11 + 2950*c_1001_0^20 - 20025*c_1001_0^19 + 104884*c_1001_0^18 - 367024*c_1001_0^17 + 1142736*c_1001_0^16 - 3041427*c_1001_0^15 + 7111465*c_1001_0^14 - 14719362*c_1001_0^13 + 27081456*c_1001_0^12 - 44296413*c_1001_0^11 + 64311790*c_1001_0^10 - 82194211*c_1001_0^9 + 90677329*c_1001_0^8 - 83950067*c_1001_0^7 + 63259112*c_1001_0^6 - 37639730*c_1001_0^5 + 17119646*c_1001_0^4 - 5711834*c_1001_0^3 + 1313308*c_1001_0^2 - 185637*c_1001_0 + 12152, c_0011_12 - 44413*c_1001_0^20 + 296195*c_1001_0^19 - 1544961*c_1001_0^18 + 5349335*c_1001_0^17 - 16606809*c_1001_0^16 + 43947174*c_1001_0^15 - 102249114*c_1001_0^14 + 210523113*c_1001_0^13 - 385176465*c_1001_0^12 + 626185534*c_1001_0^11 - 903013416*c_1001_0^10 + 1144961905*c_1001_0^9 - 1250250965*c_1001_0^8 + 1141770177*c_1001_0^7 - 845061244*c_1001_0^6 + 491464134*c_1001_0^5 - 217264369*c_1001_0^4 + 69997262*c_1001_0^3 - 15421822*c_1001_0^2 + 2070019*c_1001_0 - 127352, c_0011_6 + 17*c_1001_0^20 - 118*c_1001_0^19 + 622*c_1001_0^18 - 2207*c_1001_0^17 + 6906*c_1001_0^16 - 18524*c_1001_0^15 + 43630*c_1001_0^14 - 91004*c_1001_0^13 + 168827*c_1001_0^12 - 278694*c_1001_0^11 + 408819*c_1001_0^10 - 528948*c_1001_0^9 + 592910*c_1001_0^8 - 560960*c_1001_0^7 + 435398*c_1001_0^6 - 269616*c_1001_0^5 + 129392*c_1001_0^4 - 46440*c_1001_0^3 + 11822*c_1001_0^2 - 1937*c_1001_0 + 158, c_0101_0 - 1, c_0101_10 + 8576*c_1001_0^20 - 57816*c_1001_0^19 + 302302*c_1001_0^18 - 1053460*c_1001_0^17 + 3275881*c_1001_0^16 - 8699116*c_1001_0^15 + 20299302*c_1001_0^14 - 41926087*c_1001_0^13 + 76962950*c_1001_0^12 - 125572868*c_1001_0^11 + 181809656*c_1001_0^10 - 231605816*c_1001_0^9 + 254434521*c_1001_0^8 - 234229178*c_1001_0^7 + 175180631*c_1001_0^6 - 103229492*c_1001_0^5 + 46379098*c_1001_0^4 - 15237368*c_1001_0^3 + 3436582*c_1001_0^2 - 474224*c_1001_0 + 30132, c_0101_12 + 133748*c_1001_0^20 - 879172*c_1001_0^19 + 4572842*c_1001_0^18 - 15699223*c_1001_0^17 + 48650468*c_1001_0^16 - 128162497*c_1001_0^15 + 297110537*c_1001_0^14 - 609320899*c_1001_0^13 + 1110252264*c_1001_0^12 - 1796882137*c_1001_0^11 + 2578593117*c_1001_0^10 - 3250711056*c_1001_0^9 + 3523449801*c_1001_0^8 - 3186462536*c_1001_0^7 + 2329073780*c_1001_0^6 - 1333774354*c_1001_0^5 + 578819405*c_1001_0^4 - 182470426*c_1001_0^3 + 39203731*c_1001_0^2 - 5113668*c_1001_0 + 304662, c_0101_2 + c_1001_0^20 - 7*c_1001_0^19 + 37*c_1001_0^18 - 132*c_1001_0^17 + 414*c_1001_0^16 - 1114*c_1001_0^15 + 2632*c_1001_0^14 - 5508*c_1001_0^13 + 10255*c_1001_0^12 - 16997*c_1001_0^11 + 25048*c_1001_0^10 - 32588*c_1001_0^9 + 36794*c_1001_0^8 - 35162*c_1001_0^7 + 27680*c_1001_0^6 - 17488*c_1001_0^5 + 8640*c_1001_0^4 - 3240*c_1001_0^3 + 886*c_1001_0^2 - 166*c_1001_0 + 18, c_0101_6 + c_1001_0^20 - 7*c_1001_0^19 + 37*c_1001_0^18 - 132*c_1001_0^17 + 414*c_1001_0^16 - 1114*c_1001_0^15 + 2632*c_1001_0^14 - 5508*c_1001_0^13 + 10255*c_1001_0^12 - 16997*c_1001_0^11 + 25048*c_1001_0^10 - 32588*c_1001_0^9 + 36794*c_1001_0^8 - 35162*c_1001_0^7 + 27680*c_1001_0^6 - 17488*c_1001_0^5 + 8640*c_1001_0^4 - 3240*c_1001_0^3 + 886*c_1001_0^2 - 167*c_1001_0 + 18, c_0101_7 - 767*c_1001_0^20 + 5244*c_1001_0^19 - 27519*c_1001_0^18 + 96723*c_1001_0^17 - 301586*c_1001_0^16 + 804631*c_1001_0^15 - 1885572*c_1001_0^14 + 3911932*c_1001_0^13 - 7215451*c_1001_0^12 + 11834812*c_1001_0^11 - 17235508*c_1001_0^10 + 22108696*c_1001_0^9 - 24506221*c_1001_0^8 + 22833776*c_1001_0^7 - 17354632*c_1001_0^6 + 10443932*c_1001_0^5 - 4820918*c_1001_0^4 + 1639720*c_1001_0^3 - 386674*c_1001_0^2 + 56532*c_1001_0 - 3874, c_0110_4 + 17*c_1001_0^20 - 118*c_1001_0^19 + 622*c_1001_0^18 - 2207*c_1001_0^17 + 6906*c_1001_0^16 - 18524*c_1001_0^15 + 43630*c_1001_0^14 - 91004*c_1001_0^13 + 168827*c_1001_0^12 - 278694*c_1001_0^11 + 408819*c_1001_0^10 - 528948*c_1001_0^9 + 592910*c_1001_0^8 - 560960*c_1001_0^7 + 435398*c_1001_0^6 - 269616*c_1001_0^5 + 129392*c_1001_0^4 - 46440*c_1001_0^3 + 11822*c_1001_0^2 - 1936*c_1001_0 + 158, c_1001_0^21 - 7*c_1001_0^20 + 37*c_1001_0^19 - 132*c_1001_0^18 + 414*c_1001_0^17 - 1114*c_1001_0^16 + 2632*c_1001_0^15 - 5508*c_1001_0^14 + 10255*c_1001_0^13 - 16997*c_1001_0^12 + 25048*c_1001_0^11 - 32588*c_1001_0^10 + 36794*c_1001_0^9 - 35162*c_1001_0^8 + 27680*c_1001_0^7 - 17488*c_1001_0^6 + 8640*c_1001_0^5 - 3240*c_1001_0^4 + 886*c_1001_0^3 - 166*c_1001_0^2 + 19*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.470 seconds, Total memory usage: 32.09MB