Magma V2.19-8 Tue Aug 20 2013 23:46:08 on localhost [Seed = 2631595679] Type ? for help. Type -D to quit. Loading file "K14n14302__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14302 geometric_solution 11.13403734 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -1 0 1 0 0 0 0 0 -1 13 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442121105042 0.538560613045 0 4 4 5 0132 1302 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1.491307277112 0.650069947548 3 0 7 6 0321 0132 0132 0132 0 0 0 0 0 0 0 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 1 -1 0 0 0 12 -12 0 -13 0 13 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959274813980 0.761602068042 2 8 5 0 0321 0132 3012 0132 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 1 0 0 -1 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649176426019 1.134953340728 1 9 0 1 2310 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.322826029677 0.603087411856 9 3 1 10 2310 1230 0132 0132 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 0 0 0 0 12 0 1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248600129203 0.804249110008 9 8 2 10 0321 0213 0132 2103 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 -12 0 12 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 0.304540915941 0.789978875482 10 11 11 2 1302 0132 2103 0132 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 0 0 -1 1 12 0 0 -12 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657924640047 0.738806246023 10 3 6 11 0213 0132 0213 0213 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 0 0 0 0 0 0 0 13 0 0 -13 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953378299368 0.823948319970 6 4 5 11 0321 0132 3201 0132 0 0 0 0 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 0 0 0 -13 0 0 13 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070011085619 1.309277938383 8 7 5 6 0213 2031 0132 2103 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -13 0 13 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399568156645 0.518917631037 7 7 9 8 2103 0132 0132 0213 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 -13 13 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327756232349 0.754885687751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0011_3']), '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_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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_5']), 'c_1100_11' : negation(d['c_0011_5']), 'c_1100_10' : negation(d['c_0011_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_0011_5']), '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' : 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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_10'], '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_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0110_10']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_2'], '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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_2, c_0110_10, c_1001_0, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 553109227073735/2018609332592*c_1001_5^18 - 516587292018193/2018609332592*c_1001_5^17 + 5437095843403869/2018609332592*c_1001_5^16 + 3438629160591127/2018609332592*c_1001_5^15 - 3403690942741361/252326166574*c_1001_5^14 - 2519217324008679/504652333148*c_1001_5^13 + 86256253510261967/2018609332592*c_1001_5^12 + 11566780605096583/2018609332592*c_1001_5^11 - 185668292033754379/2018609332592*c_1001_5^10 + 8611799265758063/2018609332592*c_1001_5^9 + 274739338965156057/2018609332592*c_1001_5^8 - 47270997789248229/2018609332592*c_1001_5^7 - 137708707869993965/1009304666296*c_1001_5^6 + 29305013249107277/1009304666296*c_1001_5^5 + 178355983592369407/2018609332592*c_1001_5^4 - 24282059425929881/2018609332592*c_1001_5^3 - 73478839203128983/2018609332592*c_1001_5^2 - 4506868643438063/2018609332592*c_1001_5 + 10062071250432723/1009304666296, c_0011_0 - 1, c_0011_10 + 96983/88010522*c_1001_5^18 + 7901673/88010522*c_1001_5^17 + 7468974/44005261*c_1001_5^16 - 62816503/88010522*c_1001_5^15 - 114562039/88010522*c_1001_5^14 + 137517609/44005261*c_1001_5^13 + 433755199/88010522*c_1001_5^12 - 795884899/88010522*c_1001_5^11 - 497988234/44005261*c_1001_5^10 + 1626647007/88010522*c_1001_5^9 + 777490479/44005261*c_1001_5^8 - 2257518593/88010522*c_1001_5^7 - 1683399403/88010522*c_1001_5^6 + 1018721885/44005261*c_1001_5^5 + 1408245999/88010522*c_1001_5^4 - 943954041/88010522*c_1001_5^3 - 443622537/44005261*c_1001_5^2 + 124476223/88010522*c_1001_5 + 345836995/88010522, c_0011_11 - 149199/88010522*c_1001_5^18 - 149949/88010522*c_1001_5^17 + 684055/44005261*c_1001_5^16 + 4183573/88010522*c_1001_5^15 + 119201/44005261*c_1001_5^14 - 12572663/44005261*c_1001_5^13 - 24341783/88010522*c_1001_5^12 + 89669677/88010522*c_1001_5^11 + 96557325/88010522*c_1001_5^10 - 109968169/44005261*c_1001_5^9 - 93789232/44005261*c_1001_5^8 + 379878175/88010522*c_1001_5^7 + 250805731/88010522*c_1001_5^6 - 388955511/88010522*c_1001_5^5 - 122856606/44005261*c_1001_5^4 + 206840205/88010522*c_1001_5^3 + 126520409/44005261*c_1001_5^2 + 9230807/88010522*c_1001_5 - 70114200/44005261, c_0011_3 + 149199/88010522*c_1001_5^18 + 149949/88010522*c_1001_5^17 - 684055/44005261*c_1001_5^16 - 4183573/88010522*c_1001_5^15 - 119201/44005261*c_1001_5^14 + 12572663/44005261*c_1001_5^13 + 24341783/88010522*c_1001_5^12 - 89669677/88010522*c_1001_5^11 - 96557325/88010522*c_1001_5^10 + 109968169/44005261*c_1001_5^9 + 93789232/44005261*c_1001_5^8 - 379878175/88010522*c_1001_5^7 - 250805731/88010522*c_1001_5^6 + 388955511/88010522*c_1001_5^5 + 122856606/44005261*c_1001_5^4 - 206840205/88010522*c_1001_5^3 - 126520409/44005261*c_1001_5^2 - 9230807/88010522*c_1001_5 + 70114200/44005261, c_0011_4 - 158173/44005261*c_1001_5^18 - 6335083/44005261*c_1001_5^17 - 21917215/88010522*c_1001_5^16 + 50331939/44005261*c_1001_5^15 + 172371659/88010522*c_1001_5^14 - 221635115/44005261*c_1001_5^13 - 667832019/88010522*c_1001_5^12 + 1286889503/88010522*c_1001_5^11 + 1571124715/88010522*c_1001_5^10 - 2642258229/88010522*c_1001_5^9 - 1251894099/44005261*c_1001_5^8 + 3718492389/88010522*c_1001_5^7 + 2727991369/88010522*c_1001_5^6 - 3454845239/88010522*c_1001_5^5 - 2148959889/88010522*c_1001_5^4 + 885952100/44005261*c_1001_5^3 + 1174740841/88010522*c_1001_5^2 - 173930982/44005261*c_1001_5 - 368447443/88010522, c_0011_5 - 219363/88010522*c_1001_5^18 - 4768493/88010522*c_1001_5^17 - 6979267/88010522*c_1001_5^16 + 37847375/88010522*c_1001_5^15 + 28904810/44005261*c_1001_5^14 - 84117506/44005261*c_1001_5^13 - 117038410/44005261*c_1001_5^12 + 245502302/44005261*c_1001_5^11 + 575148247/88010522*c_1001_5^10 - 507805611/44005261*c_1001_5^9 - 474403620/44005261*c_1001_5^8 + 730486898/44005261*c_1001_5^7 + 522295983/44005261*c_1001_5^6 - 1417401469/88010522*c_1001_5^5 - 414362206/44005261*c_1001_5^4 + 739939637/88010522*c_1001_5^3 + 463516811/88010522*c_1001_5^2 - 135375219/88010522*c_1001_5 - 99315746/44005261, c_0101_1 - 10519167/44005261*c_1001_5^18 - 10677340/44005261*c_1001_5^17 + 99014760/44005261*c_1001_5^16 + 137704943/88010522*c_1001_5^15 - 962727761/88010522*c_1001_5^14 - 200349481/44005261*c_1001_5^13 + 1482955247/44005261*c_1001_5^12 + 489770951/88010522*c_1001_5^11 - 3104323335/44005261*c_1001_5^10 + 142856143/88010522*c_1001_5^9 + 4445580499/44005261*c_1001_5^8 - 679831939/44005261*c_1001_5^7 - 8596760833/88010522*c_1001_5^6 + 813040114/44005261*c_1001_5^5 + 5333049863/88010522*c_1001_5^4 - 269679766/44005261*c_1001_5^3 - 1084950705/44005261*c_1001_5^2 - 210836195/88010522*c_1001_5 + 620354255/88010522, c_0101_2 - 219363/88010522*c_1001_5^18 - 4768493/88010522*c_1001_5^17 - 6979267/88010522*c_1001_5^16 + 37847375/88010522*c_1001_5^15 + 28904810/44005261*c_1001_5^14 - 84117506/44005261*c_1001_5^13 - 117038410/44005261*c_1001_5^12 + 245502302/44005261*c_1001_5^11 + 575148247/88010522*c_1001_5^10 - 507805611/44005261*c_1001_5^9 - 474403620/44005261*c_1001_5^8 + 730486898/44005261*c_1001_5^7 + 522295983/44005261*c_1001_5^6 - 1417401469/88010522*c_1001_5^5 - 414362206/44005261*c_1001_5^4 + 739939637/88010522*c_1001_5^3 + 463516811/88010522*c_1001_5^2 - 135375219/88010522*c_1001_5 - 99315746/44005261, c_0110_10 - 96983/88010522*c_1001_5^18 - 7901673/88010522*c_1001_5^17 - 7468974/44005261*c_1001_5^16 + 62816503/88010522*c_1001_5^15 + 114562039/88010522*c_1001_5^14 - 137517609/44005261*c_1001_5^13 - 433755199/88010522*c_1001_5^12 + 795884899/88010522*c_1001_5^11 + 497988234/44005261*c_1001_5^10 - 1626647007/88010522*c_1001_5^9 - 777490479/44005261*c_1001_5^8 + 2257518593/88010522*c_1001_5^7 + 1683399403/88010522*c_1001_5^6 - 1018721885/44005261*c_1001_5^5 - 1408245999/88010522*c_1001_5^4 + 943954041/88010522*c_1001_5^3 + 443622537/44005261*c_1001_5^2 - 124476223/88010522*c_1001_5 - 345836995/88010522, c_1001_0 + 158173/44005261*c_1001_5^18 + 6335083/44005261*c_1001_5^17 + 21917215/88010522*c_1001_5^16 - 50331939/44005261*c_1001_5^15 - 172371659/88010522*c_1001_5^14 + 221635115/44005261*c_1001_5^13 + 667832019/88010522*c_1001_5^12 - 1286889503/88010522*c_1001_5^11 - 1571124715/88010522*c_1001_5^10 + 2642258229/88010522*c_1001_5^9 + 1251894099/44005261*c_1001_5^8 - 3718492389/88010522*c_1001_5^7 - 2727991369/88010522*c_1001_5^6 + 3454845239/88010522*c_1001_5^5 + 2148959889/88010522*c_1001_5^4 - 885952100/44005261*c_1001_5^3 - 1174740841/88010522*c_1001_5^2 + 173930982/44005261*c_1001_5 + 368447443/88010522, c_1001_11 + c_1001_5^2 + c_1001_5 - 1, c_1001_5^19 + 2*c_1001_5^18 - 9*c_1001_5^17 - 17*c_1001_5^16 + 44*c_1001_5^15 + 73*c_1001_5^14 - 143*c_1001_5^13 - 196*c_1001_5^12 + 333*c_1001_5^11 + 363*c_1001_5^10 - 555*c_1001_5^9 - 477*c_1001_5^8 + 650*c_1001_5^7 + 461*c_1001_5^6 - 495*c_1001_5^5 - 330*c_1001_5^4 + 213*c_1001_5^3 + 169*c_1001_5^2 - 36*c_1001_5 - 47 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.600 seconds, Total memory usage: 32.09MB