Magma V2.19-8 Tue Aug 20 2013 23:56:25 on localhost [Seed = 4122189286] Type ? for help. Type -D to quit. Loading file "L14n20650__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20650 geometric_solution 10.95665782 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 0 0 0 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 1 0 -1 0 5 -5 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435138784509 0.539731122121 0 5 3 6 0132 0132 0321 0132 0 1 1 1 0 0 0 0 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 0 0 0 -1 0 1 0 4 -4 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925428716898 0.884257346967 7 0 6 8 0132 0132 0213 0132 0 0 1 1 0 1 1 -2 0 0 0 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 -1 1 0 0 0 0 5 -4 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.346648529770 0.910234589498 4 8 1 0 0321 0132 0321 0132 0 1 1 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 4 0 -5 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 1.346648529770 0.910234589498 3 7 0 9 0321 1230 0132 0132 0 1 1 1 0 0 -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 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746592407770 1.278909971013 7 1 7 6 1302 0132 1230 2310 0 1 1 1 0 0 0 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 -5 0 5 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094697068021 1.122906494968 5 2 1 9 3201 0213 0132 2103 0 1 0 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 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 0.149078537497 0.752376937055 2 5 4 5 0132 2031 3012 3012 1 0 1 1 0 0 1 -1 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 -4 4 0 0 0 0 5 0 0 -5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435138784509 0.539731122121 10 3 2 11 0132 0132 0132 0132 0 0 1 1 0 0 2 -2 0 0 0 0 0 0 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 0.708538533263 0.964333285513 11 10 4 6 1302 1302 0132 2103 0 1 0 1 0 1 -1 0 0 0 0 0 2 -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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505198613981 0.673433305114 8 11 11 9 0132 1023 0132 2031 0 0 1 1 0 -1 0 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 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 0.017834486478 0.698342463560 10 9 8 10 1023 2031 0132 0132 0 0 1 1 0 -2 2 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 1 -1 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 0.017834486478 0.698342463560 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_9']), 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_9'], '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_0011_9'], 'c_0101_10' : d['c_0011_9'], '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_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' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_1010_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : d['c_1010_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1010_6']), 'c_1010_8' : negation(d['c_0110_9']), 'c_1100_8' : d['c_1010_6'], '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' : negation(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' : negation(d['1']), 's_1_1' : negation(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_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_6, c_0011_9, c_0101_1, c_0101_7, c_0110_6, c_0110_9, c_1001_0, c_1001_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 429300968078832858766/693425519704157018031*c_1010_6^12 + 8270665588995360020738/693425519704157018031*c_1010_6^11 - 387849001133704044709/4532192939242856327*c_1010_6^10 + 198708557972465638055980/693425519704157018031*c_1010_6^9 - 125266660413638658160316/231141839901385672677*c_1010_6^8 + 27558559835431518318727/30148935639311174697*c_1010_6^7 - 886767961125069570140174/693425519704157018031*c_1010_6^6 + 33048183593948240457445/77047279967128557559*c_1010_6^5 - 205106819365849890687085/231141839901385672677*c_1010_6^4 - 10187288909424735752757/77047279967128557559*c_1010_6^3 - 42567137789067538442998/231141839901385672677*c_1010_6^2 - 13084383878765631193079/693425519704157018031*c_1010_6 - 5733279852691273051522/693425519704157018031, c_0011_0 - 1, c_0011_10 + 2555337548131317/1146483589373686976*c_1010_6^12 - 31525167829966621/573241794686843488*c_1010_6^11 + 604229362813781775/1146483589373686976*c_1010_6^10 - 2799018384266809273/1146483589373686976*c_1010_6^9 + 1630786361179886311/286620897343421744*c_1010_6^8 - 8843818331801428001/1146483589373686976*c_1010_6^7 + 798237294321596175/71655224335855436*c_1010_6^6 - 9588761877994230343/1146483589373686976*c_1010_6^5 - 3673107328219680529/286620897343421744*c_1010_6^4 - 3696419262988921541/286620897343421744*c_1010_6^3 - 7267090222854874835/573241794686843488*c_1010_6^2 - 5464247847289748841/573241794686843488*c_1010_6 - 9092186664411637/1146483589373686976, c_0011_4 + 355630045341950551/573241794686843488*c_1010_6^12 - 3455258398452438359/286620897343421744*c_1010_6^11 + 50227481296111491781/573241794686843488*c_1010_6^10 - 171418312502150478243/573241794686843488*c_1010_6^9 + 82151087033504245641/143310448671710872*c_1010_6^8 - 541494848054493384971/573241794686843488*c_1010_6^7 + 46961370778579430205/35827612167927718*c_1010_6^6 - 250233061552497691133/573241794686843488*c_1010_6^5 + 95686158398788808289/143310448671710872*c_1010_6^4 + 17538310614694465029/143310448671710872*c_1010_6^3 + 1531016499704840327/286620897343421744*c_1010_6^2 - 1081438161836871163/286620897343421744*c_1010_6 - 1868352593259648615/573241794686843488, c_0011_6 - 25534566860470/17913806083963859*c_1010_6^12 + 418538568030299/17913806083963859*c_1010_6^11 - 2117113780832159/17913806083963859*c_1010_6^10 + 1764997650898215/17913806083963859*c_1010_6^9 + 10239149442636633/17913806083963859*c_1010_6^8 - 17656191741710509/17913806083963859*c_1010_6^7 + 28284640330125659/17913806083963859*c_1010_6^6 - 87523513751804013/17913806083963859*c_1010_6^5 - 57121823720794827/17913806083963859*c_1010_6^4 - 22526453975272756/17913806083963859*c_1010_6^3 - 7754614504684868/17913806083963859*c_1010_6^2 + 7191142455377241/17913806083963859*c_1010_6 + 10985112118435830/17913806083963859, c_0011_9 - 8103574822849643/573241794686843488*c_1010_6^12 + 70793521098861459/286620897343421744*c_1010_6^11 - 845636028856788625/573241794686843488*c_1010_6^10 + 1850281650741674407/573241794686843488*c_1010_6^9 - 293970839070162449/143310448671710872*c_1010_6^8 + 2140948154043168639/573241794686843488*c_1010_6^7 - 75721114853420455/35827612167927718*c_1010_6^6 - 14450703032855468263/573241794686843488*c_1010_6^5 - 3936822698393259569/143310448671710872*c_1010_6^4 - 3755343705269291461/143310448671710872*c_1010_6^3 - 6266269885360317011/286620897343421744*c_1010_6^2 - 1700845016241126601/286620897343421744*c_1010_6 - 578248450653579925/573241794686843488, c_0101_1 + 25534566860470/17913806083963859*c_1010_6^12 - 418538568030299/17913806083963859*c_1010_6^11 + 2117113780832159/17913806083963859*c_1010_6^10 - 1764997650898215/17913806083963859*c_1010_6^9 - 10239149442636633/17913806083963859*c_1010_6^8 + 17656191741710509/17913806083963859*c_1010_6^7 - 28284640330125659/17913806083963859*c_1010_6^6 + 87523513751804013/17913806083963859*c_1010_6^5 + 57121823720794827/17913806083963859*c_1010_6^4 + 22526453975272756/17913806083963859*c_1010_6^3 + 7754614504684868/17913806083963859*c_1010_6^2 - 7191142455377241/17913806083963859*c_1010_6 - 46812724286363548/17913806083963859, c_0101_7 + 13355187028871775/573241794686843488*c_1010_6^12 - 152819856879311295/286620897343421744*c_1010_6^11 + 2770148564041436861/573241794686843488*c_1010_6^10 - 12713575158410527147/573241794686843488*c_1010_6^9 + 8216313526609970993/143310448671710872*c_1010_6^8 - 57274191340102207923/573241794686843488*c_1010_6^7 + 5498960056735251341/35827612167927718*c_1010_6^6 - 89901810369508687541/573241794686843488*c_1010_6^5 + 5955122658567603481/143310448671710872*c_1010_6^4 - 10619500796324535227/143310448671710872*c_1010_6^3 - 10488915351968591745/286620897343421744*c_1010_6^2 - 2540830868747875235/286620897343421744*c_1010_6 - 1035012845525908175/573241794686843488, c_0110_6 + 1, c_0110_9 - 13355187028871775/573241794686843488*c_1010_6^12 + 152819856879311295/286620897343421744*c_1010_6^11 - 2770148564041436861/573241794686843488*c_1010_6^10 + 12713575158410527147/573241794686843488*c_1010_6^9 - 8216313526609970993/143310448671710872*c_1010_6^8 + 57274191340102207923/573241794686843488*c_1010_6^7 - 5498960056735251341/35827612167927718*c_1010_6^6 + 89901810369508687541/573241794686843488*c_1010_6^5 - 5955122658567603481/143310448671710872*c_1010_6^4 + 10619500796324535227/143310448671710872*c_1010_6^3 + 10488915351968591745/286620897343421744*c_1010_6^2 + 2540830868747875235/286620897343421744*c_1010_6 + 1035012845525908175/573241794686843488, c_1001_0 - 1, c_1001_2 - 17225616563932021/71655224335855436*c_1010_6^12 + 165991407567662611/35827612167927718*c_1010_6^11 - 2380343200837078951/71655224335855436*c_1010_6^10 + 7930319583628244633/71655224335855436*c_1010_6^9 - 3675182376882726132/17913806083963859*c_1010_6^8 + 24055135548188851149/71655224335855436*c_1010_6^7 - 8226379641179478106/17913806083963859*c_1010_6^6 + 7433853210279352031/71655224335855436*c_1010_6^5 - 4526262604643971920/17913806083963859*c_1010_6^4 - 1483966710741894646/17913806083963859*c_1010_6^3 - 668791091680928685/35827612167927718*c_1010_6^2 - 87463617332263159/35827612167927718*c_1010_6 + 36470235007654873/71655224335855436, c_1010_6^13 - 19*c_1010_6^12 + 133*c_1010_6^11 - 424*c_1010_6^10 + 737*c_1010_6^9 - 1193*c_1010_6^8 + 1581*c_1010_6^7 + 5*c_1010_6^6 + 1047*c_1010_6^5 + 624*c_1010_6^4 + 246*c_1010_6^3 + 68*c_1010_6^2 + 9*c_1010_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB