# Magma 2.18-5, black box: Eigenform/HeckeEigenvalue on NewformDecomposition(NewSubspace(HilbertCuspForms(F, N)))
71 0 | 1 | field: 0,1 | 2 0:0 1 -2:2 3 0:6 2 -3:2 1 -3:2 1 -4:5 3 -4:5 5 1:3 6 -1:3
71 0 | 3 | field: -1,-2,3,1 | 2 0:0,1,0 1 -2:2,-4,-1 3 0:-2,1,0 2 -3:2,2,0 1 -3:2,2,0 1 -4:4,-5,-2 3 -4:4,-5,-2 5 1:3,-5,-1 6 -1:3,-5,-1
71 0 | 3 | field: -5,-7,2,1 | 2 0:0,1,0 1 -2:-7/3,1,1/3 3 0:-5,2,1 2 -3:-14/3,0,2/3 1 -3:-14/3,0,2/3 1 -4:5/3,0,1/3 3 -4:5/3,0,1/3 5 1:5/3,-1,-2/3 6 -1:5/3,-1,-2/3
71 0 | 4 | field: -35,9,16,-8,1 | 2 0:0,1,0,0 1 -2:-26,-2,10,-2 3 0:-8,-2,5,-1 2 -3:9,2,-5,1 1 -3:9,2,-5,1 1 -4:12,-2,-4,1 3 -4:12,-2,-4,1 5 1:17,7,-7,1 6 -1:17,7,-7,1
71 0 | 12 | field: -21496,7835,35127,-15440,-18592,9711,3444,-2276,-171,225,-12,-8,1 | 2 0:0,1,0,0,0,0,0,0,0,0,0,0 1 -2:-10475693398/66331043,-4268926935/66331043,17360259609/66331043,3930071536/66331043,-9896132128/66331043,-655624344/66331043,2342458583/66331043,-83107570/66331043,-245080294/66331043,25557855/66331043,9415792/66331043,-1440600/66331043 3 0:8711390074/66331043,-74781635/66331043,-11901645996/66331043,1226928259/66331043,5544604515/66331043,-991318968/66331043,-1048626852/66331043,227117462/66331043,84562471/66331043,-19977836/66331043,-2389312/66331043,590088/66331043 2 -3:50607039958/198993129,1026818810/66331043,-23960211834/66331043,356517398/198993129,34141367471/198993129,-2288814566/198993129,-6674097166/198993129,247835252/66331043,191564054/66331043,-27746714/66331043,-6060462/66331043,3110171/198993129 1 -3:50607039958/198993129,1026818810/66331043,-23960211834/66331043,356517398/198993129,34141367471/198993129,-2288814566/198993129,-6674097166/198993129,247835252/66331043,191564054/66331043,-27746714/66331043,-6060462/66331043,3110171/198993129 1 -4:619045639/198993129,-2105497155/66331043,-2027932989/66331043,10428711377/198993129,4317868151/198993129,-5578381760/198993129,-379336624/198993129,315650199/66331043,-21622909/66331043,-16930351/66331043,2279802/66331043,118262/198993129 3 -4:619045639/198993129,-2105497155/66331043,-2027932989/66331043,10428711377/198993129,4317868151/198993129,-5578381760/198993129,-379336624/198993129,315650199/66331043,-21622909/66331043,-16930351/66331043,2279802/66331043,118262/198993129 5 1:16219975411/66331043,3719222313/66331043,-24714271347/66331043,-2884474898/66331043,12419760130/66331043,-23577187/66331043,-2382739856/66331043,171624341/66331043,191032899/66331043,-22430156/66331043,-5344926/66331043,788346/66331043 6 -1:16219975411/66331043,3719222313/66331043,-24714271347/66331043,-2884474898/66331043,12419760130/66331043,-23577187/66331043,-2382739856/66331043,171624341/66331043,191032899/66331043,-22430156/66331043,-5344926/66331043,788346/66331043
71 0 | 14 | field: 81,135,-747,-927,1986,2109,-1849,-1864,634,723,-41,-117,-11,6,1 | 2 0:0,1,0,0,0,0,0,0,0,0,0,0,0,0 1 -2:301856/393251,21201290/1179753,-4234786/1179753,-248908163/3539259,-18396581/2359506,776893204/10617777,198636130/10617777,-609553265/21235554,-38667035/3539259,81317029/21235554,7606835/3539259,-28072/10617777,-284095/2359506,-317591/21235554 3 0:228698/393251,-9285793/393251,-18874702/1179753,35848698/393251,223801051/3539259,-122062799/1179753,-265837205/3539259,148295497/3539259,123710291/3539259,-14701007/3539259,-22159618/3539259,-1674887/3539259,1193678/3539259,190447/3539259 2 -3:10245833/1573004,5765621/1573004,-129055685/4719012,-30046299/1573004,83500684/3539259,151946873/7078518,-72797617/14157036,-22310411/2359506,-19066381/14157036,2297445/1573004,1826570/3539259,-134207/4719012,-481171/14157036,-18485/4719012 1 -3:-26093703/1573004,-43617235/4719012,504959705/4719012,84307783/14157036,-1423038437/7078518,130168429/10617777,6564212989/42471108,-36629755/10617777,-771022891/14157036,-158779639/42471108,9809498/1179753,52035017/42471108,-5858693/14157036,-3408865/42471108 1 -4:146191/1573004,6675591/1573004,86220481/4719012,-38816651/4719012,-1069418663/14157036,9281035/3539259,978434195/14157036,6761739/1573004,-337353403/14157036,-7269805/2359506,12015761/3539259,2895491/4719012,-1134131/7078518,-26875/786502 3 -4:2044239/1573004,-51166459/4719012,-212124593/4719012,830591353/14157036,1817333995/14157036,-1393914007/21235554,-4935398561/42471108,907001621/42471108,68879351/1573004,3555119/10617777,-48631783/7078518,-35429233/42471108,2447275/7078518,662774/10617777 5 1:-25037397/1573004,-43111387/2359506,289032499/4719012,1609387097/14157036,-178264289/4719012,-2540149901/21235554,-198475343/21235554,478486486/10617777,166558277/14157036,-128879323/21235554,-36004451/14157036,3873427/42471108,686059/4719012,685495/42471108 6 -1:23944705/1573004,1046385/786502,-503369443/4719012,-1117747/1573004,2487376885/14157036,-3891575/2359506,-423887384/3539259,-21849331/7078518,539404685/14157036,12479482/3539259,-76602877/14157036,-11955923/14157036,3659615/14157036,720985/14157036
71 0 | 14 | field: 81,135,-747,-927,1986,2109,-1849,-1864,634,723,-41,-117,-11,6,1 | 2 0:0,1,0,0,0,0,0,0,0,0,0,0,0,0 1 -2:301856/393251,21201290/1179753,-4234786/1179753,-248908163/3539259,-18396581/2359506,776893204/10617777,198636130/10617777,-609553265/21235554,-38667035/3539259,81317029/21235554,7606835/3539259,-28072/10617777,-284095/2359506,-317591/21235554 3 0:228698/393251,-9285793/393251,-18874702/1179753,35848698/393251,223801051/3539259,-122062799/1179753,-265837205/3539259,148295497/3539259,123710291/3539259,-14701007/3539259,-22159618/3539259,-1674887/3539259,1193678/3539259,190447/3539259 2 -3:-26093703/1573004,-43617235/4719012,504959705/4719012,84307783/14157036,-1423038437/7078518,130168429/10617777,6564212989/42471108,-36629755/10617777,-771022891/14157036,-158779639/42471108,9809498/1179753,52035017/42471108,-5858693/14157036,-3408865/42471108 1 -3:10245833/1573004,5765621/1573004,-129055685/4719012,-30046299/1573004,83500684/3539259,151946873/7078518,-72797617/14157036,-22310411/2359506,-19066381/14157036,2297445/1573004,1826570/3539259,-134207/4719012,-481171/14157036,-18485/4719012 1 -4:2044239/1573004,-51166459/4719012,-212124593/4719012,830591353/14157036,1817333995/14157036,-1393914007/21235554,-4935398561/42471108,907001621/42471108,68879351/1573004,3555119/10617777,-48631783/7078518,-35429233/42471108,2447275/7078518,662774/10617777 3 -4:146191/1573004,6675591/1573004,86220481/4719012,-38816651/4719012,-1069418663/14157036,9281035/3539259,978434195/14157036,6761739/1573004,-337353403/14157036,-7269805/2359506,12015761/3539259,2895491/4719012,-1134131/7078518,-26875/786502 5 1:23944705/1573004,1046385/786502,-503369443/4719012,-1117747/1573004,2487376885/14157036,-3891575/2359506,-423887384/3539259,-21849331/7078518,539404685/14157036,12479482/3539259,-76602877/14157036,-11955923/14157036,3659615/14157036,720985/14157036 6 -1:-25037397/1573004,-43111387/2359506,289032499/4719012,1609387097/14157036,-178264289/4719012,-2540149901/21235554,-198475343/21235554,478486486/10617777,166558277/14157036,-128879323/21235554,-36004451/14157036,3873427/42471108,686059/4719012,685495/42471108
71 0 | 16 | field: -160329536,383493344,-227785312,-116267888,170537124,-35541010,-26553037,14021653,-437015,-1164728,258473,12908,-11012,1018,93,-21,1 | 2 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