Magma V2.19-8 Tue Aug 20 2013 23:42:50 on localhost [Seed = 3296895375] Type ? for help. Type -D to quit. Loading file "L13n592__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n592 geometric_solution 10.24919497 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 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 -1 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 0.776789801512 1.458005133219 0 5 5 6 0132 0132 0321 0132 1 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 1 0 -1 0 0 1 -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 0.547047325366 0.693094390076 5 0 3 5 0321 0132 0213 0213 1 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 1 0 -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 0 0 0.547047325366 0.693094390076 6 2 7 0 0132 0213 0132 0132 1 1 1 1 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217175529835 0.541999294596 6 8 0 9 1302 0132 0132 0132 1 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 -1 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 0.130432949116 1.456332765463 2 1 1 2 0321 0132 0321 0213 1 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 -1 0 1 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 0.547047325366 0.693094390076 3 4 1 10 0132 2031 0132 0132 1 1 1 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 1 -1 0 0 1 -1 -4 -1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.667993231097 0.792797197624 8 8 9 3 2031 0321 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 2 0 -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 -4 0 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253195605753 0.803062279383 10 4 7 7 1230 0132 1302 0321 1 0 1 1 0 0 0 0 2 0 -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 1 0 -1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253195605753 0.803062279383 10 10 4 7 3120 1023 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -3 1 0 2 -1 1 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 -2 1 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253195605753 0.803062279383 9 8 6 9 1023 3012 0132 3120 1 1 0 1 0 -1 0 1 0 0 0 0 -1 -2 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 -5 -1 0 1 0 -1 -1 0 2 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620978177054 0.667757386209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : d['c_0101_7'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_0'], 'c_1100_10' : negation(d['c_0101_9']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_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_10' : d['c_0101_7'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} 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_0101_0, c_0101_10, c_0101_7, c_0101_9, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 877680829853691247/7589995845190795000*c_1100_0^9 + 58290250027060529/379499792259539750*c_1100_0^8 - 3328064702601069857/15179991690381590000*c_1100_0^7 - 5681454449315111277/3035998338076318000*c_1100_0^6 - 44224165426118332101/15179991690381590000*c_1100_0^5 - 9103287626855548049/15179991690381590000*c_1100_0^4 + 482960516617454925571/15179991690381590000*c_1100_0^3 - 793719773936990162213/15179991690381590000*c_1100_0^2 + 961861205266662850953/15179991690381590000*c_1100_0 - 691755793014843424509/15179991690381590000, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 4739605763/766569457916*c_1100_0^9 + 4940144771/191642364479*c_1100_0^8 + 101626565491/1533138915832*c_1100_0^7 + 113752095959/1533138915832*c_1100_0^6 - 40115580005/1533138915832*c_1100_0^5 - 510351823895/1533138915832*c_1100_0^4 + 779251061151/1533138915832*c_1100_0^3 - 1917372671253/1533138915832*c_1100_0^2 + 2531422681009/1533138915832*c_1100_0 - 732987279211/1533138915832, c_0011_4 + c_1100_0, c_0101_0 + 1377253239/766569457916*c_1100_0^9 - 363507347/383284728958*c_1100_0^8 - 14580336489/1533138915832*c_1100_0^7 - 32112774211/1533138915832*c_1100_0^6 + 23363300461/1533138915832*c_1100_0^5 + 147161095033/1533138915832*c_1100_0^4 + 888714975907/1533138915832*c_1100_0^3 - 2445592997647/1533138915832*c_1100_0^2 + 4095616555603/1533138915832*c_1100_0 - 2429207170751/1533138915832, c_0101_10 - 12034969891/383284728958*c_1100_0^9 - 20883253533/191642364479*c_1100_0^8 - 152786431891/766569457916*c_1100_0^7 - 3811966881/766569457916*c_1100_0^6 + 492144420695/766569457916*c_1100_0^5 + 1244235667935/766569457916*c_1100_0^4 - 3386590822351/766569457916*c_1100_0^3 + 5289636267851/766569457916*c_1100_0^2 - 4771197024887/766569457916*c_1100_0 + 1639260475535/766569457916, c_0101_7 - 1283449/42525766*c_1100_0^9 - 2221948/21262883*c_1100_0^8 - 15840845/85051532*c_1100_0^7 + 1048827/85051532*c_1100_0^6 + 55143297/85051532*c_1100_0^5 + 133492937/85051532*c_1100_0^4 - 365061841/85051532*c_1100_0^3 + 514281483/85051532*c_1100_0^2 - 482265353/85051532*c_1100_0 + 148120965/85051532, c_0101_9 + 3342656377/191642364479*c_1100_0^9 + 11217252670/191642364479*c_1100_0^8 + 34848851473/383284728958*c_1100_0^7 - 27216168717/383284728958*c_1100_0^6 - 199737129933/383284728958*c_1100_0^5 - 404865160677/383284728958*c_1100_0^4 + 1003296196695/383284728958*c_1100_0^3 - 1220584211913/383284728958*c_1100_0^2 + 1260108136481/383284728958*c_1100_0 - 304866438021/383284728958, c_1001_0 + 7270545713/766569457916*c_1100_0^9 + 3894663767/191642364479*c_1100_0^8 - 1352054963/1533138915832*c_1100_0^7 - 235946249551/1533138915832*c_1100_0^6 - 555542981825/1533138915832*c_1100_0^5 - 574929467313/1533138915832*c_1100_0^4 + 3344725155393/1533138915832*c_1100_0^3 - 4065317119483/1533138915832*c_1100_0^2 + 4826901647889/1533138915832*c_1100_0 - 1522940384253/1533138915832, c_1001_2 - 3342656377/191642364479*c_1100_0^9 - 11217252670/191642364479*c_1100_0^8 - 34848851473/383284728958*c_1100_0^7 + 27216168717/383284728958*c_1100_0^6 + 199737129933/383284728958*c_1100_0^5 + 404865160677/383284728958*c_1100_0^4 - 1003296196695/383284728958*c_1100_0^3 + 1220584211913/383284728958*c_1100_0^2 - 1260108136481/383284728958*c_1100_0 + 304866438021/383284728958, c_1100_0^10 + 3*c_1100_0^9 + 9/2*c_1100_0^8 - 4*c_1100_0^7 - 24*c_1100_0^6 - 48*c_1100_0^5 + 161*c_1100_0^4 - 260*c_1100_0^3 + 311*c_1100_0^2 - 155*c_1100_0 + 89/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB