Properties

Label 570.2.x.a.103.9
Level $570$
Weight $2$
Character 570.103
Analytic conductor $4.551$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [570,2,Mod(103,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([0, 9, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.103");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.x (of order \(12\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.9
Character \(\chi\) \(=\) 570.103
Dual form 570.2.x.a.487.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.347530 - 2.20890i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(0.475663 - 0.475663i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.347530 - 2.20890i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(0.475663 - 0.475663i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.866025 + 0.500000i) q^{9} +(-0.907393 - 2.04368i) q^{10} +1.62638 q^{11} +(-0.707107 - 0.707107i) q^{12} +(1.20905 + 0.323965i) q^{13} +(0.336344 - 0.582565i) q^{14} +(-2.04368 + 0.907393i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.715345 - 2.66970i) q^{17} +(-0.707107 + 0.707107i) q^{18} +(-3.74148 - 2.23637i) q^{19} +(-1.40542 - 1.73920i) q^{20} +(-0.582565 - 0.336344i) q^{21} +(1.57097 - 0.420939i) q^{22} +(0.346974 - 1.29493i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(-4.75845 + 1.53532i) q^{25} +1.25170 q^{26} +(0.707107 + 0.707107i) q^{27} +(0.174105 - 0.649767i) q^{28} +(-2.85586 - 4.94650i) q^{29} +(-1.73920 + 1.40542i) q^{30} +4.96078i q^{31} +(0.258819 - 0.965926i) q^{32} +(-0.420939 - 1.57097i) q^{33} +(-1.38194 - 2.39359i) q^{34} +(-1.21600 - 0.885382i) q^{35} +(-0.500000 + 0.866025i) q^{36} +(1.34224 + 1.34224i) q^{37} +(-4.19280 - 1.19181i) q^{38} -1.25170i q^{39} +(-1.80767 - 1.31618i) q^{40} +(3.11995 + 1.80130i) q^{41} +(-0.649767 - 0.174105i) q^{42} +(4.02287 - 1.07792i) q^{43} +(1.40849 - 0.813191i) q^{44} +(1.40542 + 1.73920i) q^{45} -1.34061i q^{46} +(10.0959 + 2.70518i) q^{47} +(-0.965926 - 0.258819i) q^{48} +6.54749i q^{49} +(-4.19894 + 2.71458i) q^{50} +(-2.39359 + 1.38194i) q^{51} +(1.20905 - 0.323965i) q^{52} +(1.10956 + 0.297305i) q^{53} +(0.866025 + 0.500000i) q^{54} +(-0.565217 - 3.59251i) q^{55} -0.672689i q^{56} +(-1.19181 + 4.19280i) q^{57} +(-4.03880 - 4.03880i) q^{58} +(3.21653 - 5.57120i) q^{59} +(-1.31618 + 1.80767i) q^{60} +(-0.415397 - 0.719489i) q^{61} +(1.28394 + 4.79175i) q^{62} +(-0.174105 + 0.649767i) q^{63} -1.00000i q^{64} +(0.295422 - 2.78326i) q^{65} +(-0.813191 - 1.40849i) q^{66} +(-1.23904 + 4.62415i) q^{67} +(-1.95436 - 1.95436i) q^{68} -1.34061 q^{69} +(-1.40372 - 0.540491i) q^{70} +(6.55025 + 3.78179i) q^{71} +(-0.258819 + 0.965926i) q^{72} +(11.5703 - 3.10025i) q^{73} +(1.64390 + 0.949104i) q^{74} +(2.71458 + 4.19894i) q^{75} +(-4.35840 - 0.0660184i) q^{76} +(0.773610 - 0.773610i) q^{77} +(-0.323965 - 1.20905i) q^{78} +(-3.50883 + 6.07746i) q^{79} +(-2.08673 - 0.803478i) q^{80} +(0.500000 - 0.866025i) q^{81} +(3.47985 + 0.932424i) q^{82} +(4.66215 + 4.66215i) q^{83} -0.672689 q^{84} +(-5.64850 + 2.50793i) q^{85} +(3.60681 - 2.08239i) q^{86} +(-4.03880 + 4.03880i) q^{87} +(1.15003 - 1.15003i) q^{88} +(-0.342379 - 0.593017i) q^{89} +(1.80767 + 1.31618i) q^{90} +(0.729200 - 0.421004i) q^{91} +(-0.346974 - 1.29493i) q^{92} +(4.79175 - 1.28394i) q^{93} +10.4520 q^{94} +(-3.63964 + 9.04174i) q^{95} -1.00000 q^{96} +(-6.83239 + 1.83073i) q^{97} +(1.69462 + 6.32439i) q^{98} +(-1.40849 + 0.813191i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q - 8 q^{5} - 20 q^{6} - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 40 q - 8 q^{5} - 20 q^{6} - 8 q^{7} - 12 q^{10} + 8 q^{11} - 24 q^{13} + 20 q^{16} + 8 q^{17} + 12 q^{21} + 24 q^{22} + 16 q^{23} - 16 q^{25} + 32 q^{26} + 4 q^{28} + 16 q^{30} - 24 q^{33} - 4 q^{35} - 20 q^{36} - 8 q^{38} - 36 q^{41} + 4 q^{42} - 4 q^{43} + 8 q^{47} - 24 q^{52} - 16 q^{55} - 8 q^{57} + 16 q^{58} + 12 q^{60} - 8 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{66} - 36 q^{67} - 16 q^{68} + 48 q^{70} + 72 q^{71} - 16 q^{73} - 8 q^{76} + 24 q^{77} + 24 q^{78} + 8 q^{80} + 20 q^{81} - 24 q^{82} - 40 q^{83} - 48 q^{85} + 16 q^{87} - 72 q^{91} - 16 q^{92} + 16 q^{93} - 16 q^{95} - 40 q^{96} + 36 q^{97} - 48 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) −0.258819 0.965926i −0.149429 0.557678i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −0.347530 2.20890i −0.155420 0.987848i
\(6\) −0.500000 0.866025i −0.204124 0.353553i
\(7\) 0.475663 0.475663i 0.179784 0.179784i −0.611478 0.791261i \(-0.709425\pi\)
0.791261 + 0.611478i \(0.209425\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −0.866025 + 0.500000i −0.288675 + 0.166667i
\(10\) −0.907393 2.04368i −0.286943 0.646269i
\(11\) 1.62638 0.490373 0.245186 0.969476i \(-0.421151\pi\)
0.245186 + 0.969476i \(0.421151\pi\)
\(12\) −0.707107 0.707107i −0.204124 0.204124i
\(13\) 1.20905 + 0.323965i 0.335331 + 0.0898517i 0.422556 0.906337i \(-0.361133\pi\)
−0.0872245 + 0.996189i \(0.527800\pi\)
\(14\) 0.336344 0.582565i 0.0898918 0.155697i
\(15\) −2.04368 + 0.907393i −0.527677 + 0.234288i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −0.715345 2.66970i −0.173497 0.647498i −0.996803 0.0799008i \(-0.974540\pi\)
0.823306 0.567598i \(-0.192127\pi\)
\(18\) −0.707107 + 0.707107i −0.166667 + 0.166667i
\(19\) −3.74148 2.23637i −0.858353 0.513059i
\(20\) −1.40542 1.73920i −0.314261 0.388896i
\(21\) −0.582565 0.336344i −0.127126 0.0733963i
\(22\) 1.57097 0.420939i 0.334931 0.0897445i
\(23\) 0.346974 1.29493i 0.0723491 0.270011i −0.920270 0.391284i \(-0.872031\pi\)
0.992619 + 0.121273i \(0.0386977\pi\)
\(24\) −0.866025 0.500000i −0.176777 0.102062i
\(25\) −4.75845 + 1.53532i −0.951689 + 0.307063i
\(26\) 1.25170 0.245479
\(27\) 0.707107 + 0.707107i 0.136083 + 0.136083i
\(28\) 0.174105 0.649767i 0.0329027 0.122794i
\(29\) −2.85586 4.94650i −0.530321 0.918542i −0.999374 0.0353727i \(-0.988738\pi\)
0.469053 0.883170i \(-0.344595\pi\)
\(30\) −1.73920 + 1.40542i −0.317532 + 0.256593i
\(31\) 4.96078i 0.890983i 0.895286 + 0.445491i \(0.146971\pi\)
−0.895286 + 0.445491i \(0.853029\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −0.420939 1.57097i −0.0732761 0.273470i
\(34\) −1.38194 2.39359i −0.237001 0.410497i
\(35\) −1.21600 0.885382i −0.205541 0.149657i
\(36\) −0.500000 + 0.866025i −0.0833333 + 0.144338i
\(37\) 1.34224 + 1.34224i 0.220662 + 0.220662i 0.808777 0.588115i \(-0.200130\pi\)
−0.588115 + 0.808777i \(0.700130\pi\)
\(38\) −4.19280 1.19181i −0.680163 0.193336i
\(39\) 1.25170i 0.200433i
\(40\) −1.80767 1.31618i −0.285817 0.208107i
\(41\) 3.11995 + 1.80130i 0.487254 + 0.281316i 0.723435 0.690393i \(-0.242562\pi\)
−0.236180 + 0.971709i \(0.575896\pi\)
\(42\) −0.649767 0.174105i −0.100261 0.0268649i
\(43\) 4.02287 1.07792i 0.613482 0.164382i 0.0613189 0.998118i \(-0.480469\pi\)
0.552163 + 0.833736i \(0.313803\pi\)
\(44\) 1.40849 0.813191i 0.212338 0.122593i
\(45\) 1.40542 + 1.73920i 0.209507 + 0.259264i
\(46\) 1.34061i 0.197662i
\(47\) 10.0959 + 2.70518i 1.47263 + 0.394591i 0.903833 0.427885i \(-0.140741\pi\)
0.568800 + 0.822476i \(0.307408\pi\)
\(48\) −0.965926 0.258819i −0.139419 0.0373573i
\(49\) 6.54749i 0.935356i
\(50\) −4.19894 + 2.71458i −0.593819 + 0.383899i
\(51\) −2.39359 + 1.38194i −0.335170 + 0.193510i
\(52\) 1.20905 0.323965i 0.167666 0.0449259i
\(53\) 1.10956 + 0.297305i 0.152410 + 0.0408380i 0.334217 0.942496i \(-0.391528\pi\)
−0.181808 + 0.983334i \(0.558195\pi\)
\(54\) 0.866025 + 0.500000i 0.117851 + 0.0680414i
\(55\) −0.565217 3.59251i −0.0762139 0.484414i
\(56\) 0.672689i 0.0898918i
\(57\) −1.19181 + 4.19280i −0.157859 + 0.555350i
\(58\) −4.03880 4.03880i −0.530321 0.530321i
\(59\) 3.21653 5.57120i 0.418757 0.725308i −0.577058 0.816703i \(-0.695799\pi\)
0.995815 + 0.0913953i \(0.0291327\pi\)
\(60\) −1.31618 + 1.80767i −0.169919 + 0.233369i
\(61\) −0.415397 0.719489i −0.0531862 0.0921212i 0.838207 0.545353i \(-0.183604\pi\)
−0.891393 + 0.453232i \(0.850271\pi\)
\(62\) 1.28394 + 4.79175i 0.163061 + 0.608552i
\(63\) −0.174105 + 0.649767i −0.0219351 + 0.0818630i
\(64\) 1.00000i 0.125000i
\(65\) 0.295422 2.78326i 0.0366426 0.345221i
\(66\) −0.813191 1.40849i −0.100097 0.173373i
\(67\) −1.23904 + 4.62415i −0.151373 + 0.564930i 0.848016 + 0.529970i \(0.177797\pi\)
−0.999389 + 0.0349597i \(0.988870\pi\)
\(68\) −1.95436 1.95436i −0.237001 0.237001i
\(69\) −1.34061 −0.161390
\(70\) −1.40372 0.540491i −0.167776 0.0646010i
\(71\) 6.55025 + 3.78179i 0.777371 + 0.448816i 0.835498 0.549494i \(-0.185179\pi\)
−0.0581265 + 0.998309i \(0.518513\pi\)
\(72\) −0.258819 + 0.965926i −0.0305021 + 0.113835i
\(73\) 11.5703 3.10025i 1.35420 0.362856i 0.492515 0.870304i \(-0.336078\pi\)
0.861683 + 0.507447i \(0.169411\pi\)
\(74\) 1.64390 + 0.949104i 0.191099 + 0.110331i
\(75\) 2.71458 + 4.19894i 0.313452 + 0.484851i
\(76\) −4.35840 0.0660184i −0.499943 0.00757283i
\(77\) 0.773610 0.773610i 0.0881610 0.0881610i
\(78\) −0.323965 1.20905i −0.0366818 0.136898i
\(79\) −3.50883 + 6.07746i −0.394774 + 0.683768i −0.993072 0.117505i \(-0.962510\pi\)
0.598299 + 0.801273i \(0.295844\pi\)
\(80\) −2.08673 0.803478i −0.233303 0.0898316i
\(81\) 0.500000 0.866025i 0.0555556 0.0962250i
\(82\) 3.47985 + 0.932424i 0.384285 + 0.102969i
\(83\) 4.66215 + 4.66215i 0.511738 + 0.511738i 0.915059 0.403321i \(-0.132144\pi\)
−0.403321 + 0.915059i \(0.632144\pi\)
\(84\) −0.672689 −0.0733963
\(85\) −5.64850 + 2.50793i −0.612665 + 0.272023i
\(86\) 3.60681 2.08239i 0.388932 0.224550i
\(87\) −4.03880 + 4.03880i −0.433005 + 0.433005i
\(88\) 1.15003 1.15003i 0.122593 0.122593i
\(89\) −0.342379 0.593017i −0.0362921 0.0628597i 0.847309 0.531100i \(-0.178221\pi\)
−0.883601 + 0.468241i \(0.844888\pi\)
\(90\) 1.80767 + 1.31618i 0.190545 + 0.138738i
\(91\) 0.729200 0.421004i 0.0764409 0.0441332i
\(92\) −0.346974 1.29493i −0.0361746 0.135005i
\(93\) 4.79175 1.28394i 0.496881 0.133139i
\(94\) 10.4520 1.07804
\(95\) −3.63964 + 9.04174i −0.373419 + 0.927663i
\(96\) −1.00000 −0.102062
\(97\) −6.83239 + 1.83073i −0.693724 + 0.185883i −0.588418 0.808557i \(-0.700249\pi\)
−0.105306 + 0.994440i \(0.533582\pi\)
\(98\) 1.69462 + 6.32439i 0.171182 + 0.638860i
\(99\) −1.40849 + 0.813191i −0.141558 + 0.0817288i
\(100\) −3.35328 + 3.70885i −0.335328 + 0.370885i
\(101\) −5.17525 8.96379i −0.514956 0.891930i −0.999849 0.0173568i \(-0.994475\pi\)
0.484893 0.874573i \(-0.338858\pi\)
\(102\) −1.95436 + 1.95436i −0.193510 + 0.193510i
\(103\) 11.0247 11.0247i 1.08630 1.08630i 0.0903885 0.995907i \(-0.471189\pi\)
0.995907 0.0903885i \(-0.0288109\pi\)
\(104\) 1.08401 0.625852i 0.106296 0.0613699i
\(105\) −0.540491 + 1.40372i −0.0527465 + 0.136989i
\(106\) 1.14870 0.111572
\(107\) 11.1404 + 11.1404i 1.07698 + 1.07698i 0.996779 + 0.0802011i \(0.0255563\pi\)
0.0802011 + 0.996779i \(0.474444\pi\)
\(108\) 0.965926 + 0.258819i 0.0929463 + 0.0249049i
\(109\) −8.55270 + 14.8137i −0.819200 + 1.41890i 0.0870725 + 0.996202i \(0.472249\pi\)
−0.906272 + 0.422694i \(0.861085\pi\)
\(110\) −1.47577 3.32381i −0.140709 0.316913i
\(111\) 0.949104 1.64390i 0.0900849 0.156032i
\(112\) −0.174105 0.649767i −0.0164513 0.0613972i
\(113\) −1.79814 + 1.79814i −0.169155 + 0.169155i −0.786608 0.617453i \(-0.788165\pi\)
0.617453 + 0.786608i \(0.288165\pi\)
\(114\) −0.0660184 + 4.35840i −0.00618319 + 0.408201i
\(115\) −2.98094 0.316405i −0.277974 0.0295049i
\(116\) −4.94650 2.85586i −0.459271 0.265160i
\(117\) −1.20905 + 0.323965i −0.111777 + 0.0299506i
\(118\) 1.66500 6.21386i 0.153276 0.572032i
\(119\) −1.61014 0.929616i −0.147601 0.0852177i
\(120\) −0.803478 + 2.08673i −0.0733472 + 0.190491i
\(121\) −8.35488 −0.759534
\(122\) −0.587461 0.587461i −0.0531862 0.0531862i
\(123\) 0.932424 3.47985i 0.0840738 0.313768i
\(124\) 2.48039 + 4.29616i 0.222746 + 0.385807i
\(125\) 5.04506 + 9.97734i 0.451244 + 0.892401i
\(126\) 0.672689i 0.0599279i
\(127\) −2.19387 + 8.18762i −0.194674 + 0.726534i 0.797677 + 0.603085i \(0.206062\pi\)
−0.992351 + 0.123449i \(0.960605\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) −2.08239 3.60681i −0.183344 0.317562i
\(130\) −0.435005 2.76489i −0.0381525 0.242497i
\(131\) 7.25898 12.5729i 0.634220 1.09850i −0.352460 0.935827i \(-0.614655\pi\)
0.986680 0.162675i \(-0.0520121\pi\)
\(132\) −1.15003 1.15003i −0.100097 0.100097i
\(133\) −2.84344 + 0.715921i −0.246557 + 0.0620782i
\(134\) 4.78727i 0.413557i
\(135\) 1.31618 1.80767i 0.113279 0.155579i
\(136\) −2.39359 1.38194i −0.205249 0.118500i
\(137\) 5.77905 + 1.54849i 0.493737 + 0.132297i 0.497092 0.867698i \(-0.334401\pi\)
−0.00335458 + 0.999994i \(0.501068\pi\)
\(138\) −1.29493 + 0.346974i −0.110231 + 0.0295364i
\(139\) 1.91092 1.10327i 0.162082 0.0935783i −0.416765 0.909014i \(-0.636836\pi\)
0.578847 + 0.815436i \(0.303503\pi\)
\(140\) −1.49578 0.158765i −0.126416 0.0134181i
\(141\) 10.4520i 0.880218i
\(142\) 7.30585 + 1.95760i 0.613094 + 0.164278i
\(143\) 1.96638 + 0.526891i 0.164437 + 0.0440609i
\(144\) 1.00000i 0.0833333i
\(145\) −9.93381 + 8.02737i −0.824958 + 0.666637i
\(146\) 10.3736 5.98921i 0.858527 0.495671i
\(147\) 6.32439 1.69462i 0.521627 0.139770i
\(148\) 1.83353 + 0.491292i 0.150715 + 0.0403840i
\(149\) −5.99554 3.46153i −0.491174 0.283579i 0.233888 0.972264i \(-0.424855\pi\)
−0.725061 + 0.688684i \(0.758189\pi\)
\(150\) 3.70885 + 3.35328i 0.302826 + 0.273794i
\(151\) 18.5439i 1.50908i 0.656255 + 0.754539i \(0.272140\pi\)
−0.656255 + 0.754539i \(0.727860\pi\)
\(152\) −4.22698 + 1.06427i −0.342853 + 0.0863235i
\(153\) 1.95436 + 1.95436i 0.158001 + 0.158001i
\(154\) 0.547025 0.947474i 0.0440805 0.0763497i
\(155\) 10.9579 1.72402i 0.880156 0.138477i
\(156\) −0.625852 1.08401i −0.0501083 0.0867901i
\(157\) 1.61352 + 6.02173i 0.128773 + 0.480587i 0.999946 0.0103891i \(-0.00330700\pi\)
−0.871173 + 0.490976i \(0.836640\pi\)
\(158\) −1.81630 + 6.77853i −0.144497 + 0.539271i
\(159\) 1.14870i 0.0910978i
\(160\) −2.22358 0.236016i −0.175789 0.0186587i
\(161\) −0.450905 0.780991i −0.0355363 0.0615507i
\(162\) 0.258819 0.965926i 0.0203347 0.0758903i
\(163\) 4.29006 + 4.29006i 0.336024 + 0.336024i 0.854868 0.518845i \(-0.173638\pi\)
−0.518845 + 0.854868i \(0.673638\pi\)
\(164\) 3.60261 0.281316
\(165\) −3.32381 + 1.47577i −0.258758 + 0.114888i
\(166\) 5.70995 + 3.29664i 0.443178 + 0.255869i
\(167\) 1.06045 3.95765i 0.0820599 0.306252i −0.912681 0.408672i \(-0.865992\pi\)
0.994741 + 0.102420i \(0.0326586\pi\)
\(168\) −0.649767 + 0.174105i −0.0501306 + 0.0134325i
\(169\) −9.90147 5.71662i −0.761652 0.439740i
\(170\) −4.80693 + 3.88441i −0.368675 + 0.297921i
\(171\) 4.35840 + 0.0660184i 0.333295 + 0.00504856i
\(172\) 2.94494 2.94494i 0.224550 0.224550i
\(173\) −6.38946 23.8458i −0.485782 1.81296i −0.576515 0.817087i \(-0.695588\pi\)
0.0907330 0.995875i \(-0.471079\pi\)
\(174\) −2.85586 + 4.94650i −0.216503 + 0.374993i
\(175\) −1.53312 + 2.99371i −0.115893 + 0.226303i
\(176\) 0.813191 1.40849i 0.0612966 0.106169i
\(177\) −6.21386 1.66500i −0.467062 0.125149i
\(178\) −0.484197 0.484197i −0.0362921 0.0362921i
\(179\) 11.7015 0.874609 0.437304 0.899314i \(-0.355933\pi\)
0.437304 + 0.899314i \(0.355933\pi\)
\(180\) 2.08673 + 0.803478i 0.155535 + 0.0598877i
\(181\) −1.64623 + 0.950450i −0.122363 + 0.0706464i −0.559932 0.828538i \(-0.689173\pi\)
0.437569 + 0.899185i \(0.355840\pi\)
\(182\) 0.595389 0.595389i 0.0441332 0.0441332i
\(183\) −0.587461 + 0.587461i −0.0434263 + 0.0434263i
\(184\) −0.670303 1.16100i −0.0494154 0.0855900i
\(185\) 2.49839 3.43133i 0.183685 0.252276i
\(186\) 4.29616 2.48039i 0.315010 0.181871i
\(187\) −1.16343 4.34196i −0.0850781 0.317516i
\(188\) 10.0959 2.70518i 0.736317 0.197295i
\(189\) 0.672689 0.0489309
\(190\) −1.17545 + 9.67566i −0.0852761 + 0.701946i
\(191\) −4.44695 −0.321770 −0.160885 0.986973i \(-0.551435\pi\)
−0.160885 + 0.986973i \(0.551435\pi\)
\(192\) −0.965926 + 0.258819i −0.0697097 + 0.0186787i
\(193\) −1.67707 6.25891i −0.120718 0.450526i 0.878933 0.476946i \(-0.158256\pi\)
−0.999651 + 0.0264195i \(0.991589\pi\)
\(194\) −6.12575 + 3.53671i −0.439804 + 0.253921i
\(195\) −2.76489 + 0.435005i −0.197998 + 0.0311514i
\(196\) 3.27375 + 5.67029i 0.233839 + 0.405021i
\(197\) −12.3412 + 12.3412i −0.879273 + 0.879273i −0.993459 0.114186i \(-0.963574\pi\)
0.114186 + 0.993459i \(0.463574\pi\)
\(198\) −1.15003 + 1.15003i −0.0817288 + 0.0817288i
\(199\) −4.72800 + 2.72971i −0.335159 + 0.193504i −0.658129 0.752905i \(-0.728652\pi\)
0.322970 + 0.946409i \(0.395319\pi\)
\(200\) −2.27910 + 4.45036i −0.161156 + 0.314688i
\(201\) 4.78727 0.337668
\(202\) −7.31890 7.31890i −0.514956 0.514956i
\(203\) −3.71129 0.994438i −0.260482 0.0697959i
\(204\) −1.38194 + 2.39359i −0.0967552 + 0.167585i
\(205\) 2.89462 7.51766i 0.202169 0.525056i
\(206\) 7.79563 13.5024i 0.543148 0.940759i
\(207\) 0.346974 + 1.29493i 0.0241164 + 0.0900036i
\(208\) 0.885089 0.885089i 0.0613699 0.0613699i
\(209\) −6.08507 3.63720i −0.420913 0.251590i
\(210\) −0.158765 + 1.49578i −0.0109558 + 0.103218i
\(211\) −16.7262 9.65690i −1.15148 0.664809i −0.202234 0.979337i \(-0.564820\pi\)
−0.949248 + 0.314528i \(0.898154\pi\)
\(212\) 1.10956 0.297305i 0.0762048 0.0204190i
\(213\) 1.95760 7.30585i 0.134132 0.500589i
\(214\) 13.6441 + 7.87743i 0.932692 + 0.538490i
\(215\) −3.77909 8.51149i −0.257732 0.580479i
\(216\) 1.00000 0.0680414
\(217\) 2.35966 + 2.35966i 0.160184 + 0.160184i
\(218\) −4.42720 + 16.5225i −0.299848 + 1.11905i
\(219\) −5.98921 10.3736i −0.404714 0.700985i
\(220\) −2.28575 2.82860i −0.154105 0.190704i
\(221\) 3.45956i 0.232715i
\(222\) 0.491292 1.83353i 0.0329734 0.123058i
\(223\) 2.05712 + 7.67726i 0.137755 + 0.514108i 0.999971 + 0.00756794i \(0.00240897\pi\)
−0.862217 + 0.506540i \(0.830924\pi\)
\(224\) −0.336344 0.582565i −0.0224729 0.0389243i
\(225\) 3.35328 3.70885i 0.223552 0.247256i
\(226\) −1.27148 + 2.20226i −0.0845774 + 0.146492i
\(227\) 14.0895 + 14.0895i 0.935155 + 0.935155i 0.998022 0.0628668i \(-0.0200243\pi\)
−0.0628668 + 0.998022i \(0.520024\pi\)
\(228\) 1.06427 + 4.22698i 0.0704829 + 0.279938i
\(229\) 15.7103i 1.03817i −0.854723 0.519084i \(-0.826273\pi\)
0.854723 0.519084i \(-0.173727\pi\)
\(230\) −2.96126 + 0.465901i −0.195260 + 0.0307206i
\(231\) −0.947474 0.547025i −0.0623392 0.0359916i
\(232\) −5.51711 1.47830i −0.362216 0.0970554i
\(233\) −11.6010 + 3.10848i −0.760008 + 0.203644i −0.617953 0.786215i \(-0.712038\pi\)
−0.142055 + 0.989859i \(0.545371\pi\)
\(234\) −1.08401 + 0.625852i −0.0708638 + 0.0409132i
\(235\) 2.46684 23.2409i 0.160919 1.51607i
\(236\) 6.43306i 0.418757i
\(237\) 6.77853 + 1.81630i 0.440313 + 0.117981i
\(238\) −1.79588 0.481204i −0.116410 0.0311918i
\(239\) 3.62823i 0.234691i −0.993091 0.117345i \(-0.962562\pi\)
0.993091 0.117345i \(-0.0374385\pi\)
\(240\) −0.236016 + 2.22358i −0.0152348 + 0.143531i
\(241\) −22.4277 + 12.9487i −1.44470 + 0.834096i −0.998158 0.0606684i \(-0.980677\pi\)
−0.446539 + 0.894764i \(0.647343\pi\)
\(242\) −8.07019 + 2.16240i −0.518772 + 0.139004i
\(243\) −0.965926 0.258819i −0.0619642 0.0166032i
\(244\) −0.719489 0.415397i −0.0460606 0.0265931i
\(245\) 14.4627 2.27545i 0.923990 0.145373i
\(246\) 3.60261i 0.229694i
\(247\) −3.79914 3.91600i −0.241733 0.249169i
\(248\) 3.50780 + 3.50780i 0.222746 + 0.222746i
\(249\) 3.29664 5.70995i 0.208916 0.361853i
\(250\) 7.45548 + 8.33162i 0.471526 + 0.526938i
\(251\) −4.71872 8.17306i −0.297843 0.515879i 0.677799 0.735247i \(-0.262934\pi\)
−0.975642 + 0.219368i \(0.929600\pi\)
\(252\) 0.174105 + 0.649767i 0.0109676 + 0.0409315i
\(253\) 0.564313 2.10605i 0.0354781 0.132406i
\(254\) 8.47645i 0.531860i
\(255\) 3.88441 + 4.80693i 0.243251 + 0.301022i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 0.699730 2.61143i 0.0436480 0.162896i −0.940662 0.339345i \(-0.889794\pi\)
0.984310 + 0.176449i \(0.0564611\pi\)
\(258\) −2.94494 2.94494i −0.183344 0.183344i
\(259\) 1.27690 0.0793428
\(260\) −1.13579 2.55809i −0.0704386 0.158646i
\(261\) 4.94650 + 2.85586i 0.306181 + 0.176774i
\(262\) 3.75753 14.0233i 0.232141 0.866361i
\(263\) −13.5129 + 3.62078i −0.833244 + 0.223267i −0.650128 0.759824i \(-0.725285\pi\)
−0.183116 + 0.983091i \(0.558618\pi\)
\(264\) −1.40849 0.813191i −0.0866865 0.0500485i
\(265\) 0.271111 2.55422i 0.0166542 0.156905i
\(266\) −2.56126 + 1.42746i −0.157041 + 0.0875233i
\(267\) −0.484197 + 0.484197i −0.0296324 + 0.0296324i
\(268\) 1.23904 + 4.62415i 0.0756863 + 0.282465i
\(269\) −5.36535 + 9.29307i −0.327131 + 0.566608i −0.981941 0.189185i \(-0.939415\pi\)
0.654810 + 0.755794i \(0.272749\pi\)
\(270\) 0.803478 2.08673i 0.0488981 0.126994i
\(271\) 1.27133 2.20201i 0.0772277 0.133762i −0.824825 0.565388i \(-0.808726\pi\)
0.902053 + 0.431626i \(0.142060\pi\)
\(272\) −2.66970 0.715345i −0.161875 0.0433742i
\(273\) −0.595389 0.595389i −0.0360346 0.0360346i
\(274\) 5.98291 0.361441
\(275\) −7.73905 + 2.49701i −0.466683 + 0.150575i
\(276\) −1.16100 + 0.670303i −0.0698839 + 0.0403475i
\(277\) −7.14030 + 7.14030i −0.429019 + 0.429019i −0.888294 0.459275i \(-0.848109\pi\)
0.459275 + 0.888294i \(0.348109\pi\)
\(278\) 1.56026 1.56026i 0.0935783 0.0935783i
\(279\) −2.48039 4.29616i −0.148497 0.257205i
\(280\) −1.48590 + 0.233780i −0.0887995 + 0.0139710i
\(281\) 7.50398 4.33243i 0.447650 0.258451i −0.259187 0.965827i \(-0.583455\pi\)
0.706837 + 0.707376i \(0.250121\pi\)
\(282\) −2.70518 10.0959i −0.161091 0.601200i
\(283\) 27.7937 7.44731i 1.65217 0.442696i 0.691947 0.721948i \(-0.256753\pi\)
0.960218 + 0.279252i \(0.0900863\pi\)
\(284\) 7.56358 0.448816
\(285\) 9.67566 + 1.17545i 0.573136 + 0.0696276i
\(286\) 2.03575 0.120376
\(287\) 2.34086 0.627231i 0.138176 0.0370243i
\(288\) 0.258819 + 0.965926i 0.0152511 + 0.0569177i
\(289\) 8.10683 4.68048i 0.476872 0.275322i
\(290\) −7.51769 + 10.3249i −0.441454 + 0.606299i
\(291\) 3.53671 + 6.12575i 0.207325 + 0.359098i
\(292\) 8.47003 8.47003i 0.495671 0.495671i
\(293\) −7.60250 + 7.60250i −0.444143 + 0.444143i −0.893402 0.449259i \(-0.851688\pi\)
0.449259 + 0.893402i \(0.351688\pi\)
\(294\) 5.67029 3.27375i 0.330698 0.190929i
\(295\) −13.4240 5.16883i −0.781578 0.300941i
\(296\) 1.89821 0.110331
\(297\) 1.15003 + 1.15003i 0.0667313 + 0.0667313i
\(298\) −6.68716 1.79182i −0.387377 0.103797i
\(299\) 0.839021 1.45323i 0.0485219 0.0840423i
\(300\) 4.45036 + 2.27910i 0.256942 + 0.131584i
\(301\) 1.40080 2.42626i 0.0807408 0.139847i
\(302\) 4.79951 + 17.9120i 0.276181 + 1.03072i
\(303\) −7.31890 + 7.31890i −0.420460 + 0.420460i
\(304\) −3.80749 + 2.12203i −0.218375 + 0.121707i
\(305\) −1.44491 + 1.16761i −0.0827356 + 0.0668574i
\(306\) 2.39359 + 1.38194i 0.136832 + 0.0790003i
\(307\) 15.1496 4.05933i 0.864634 0.231678i 0.200868 0.979618i \(-0.435624\pi\)
0.663766 + 0.747940i \(0.268957\pi\)
\(308\) 0.283161 1.05677i 0.0161346 0.0602151i
\(309\) −13.5024 7.79563i −0.768127 0.443478i
\(310\) 10.1383 4.50138i 0.575815 0.255661i
\(311\) −27.8709 −1.58041 −0.790207 0.612841i \(-0.790027\pi\)
−0.790207 + 0.612841i \(0.790027\pi\)
\(312\) −0.885089 0.885089i −0.0501083 0.0501083i
\(313\) −7.12100 + 26.5759i −0.402503 + 1.50216i 0.406113 + 0.913823i \(0.366884\pi\)
−0.808616 + 0.588337i \(0.799783\pi\)
\(314\) 3.11708 + 5.39894i 0.175907 + 0.304680i
\(315\) 1.49578 + 0.158765i 0.0842774 + 0.00894541i
\(316\) 7.01765i 0.394774i
\(317\) 2.31724 8.64804i 0.130149 0.485722i −0.869822 0.493366i \(-0.835766\pi\)
0.999971 + 0.00764349i \(0.00243302\pi\)
\(318\) −0.297305 1.10956i −0.0166720 0.0622209i
\(319\) −4.64473 8.04491i −0.260055 0.450428i
\(320\) −2.20890 + 0.347530i −0.123481 + 0.0194275i
\(321\) 7.87743 13.6441i 0.439675 0.761540i
\(322\) −0.637676 0.637676i −0.0355363 0.0355363i
\(323\) −3.29401 + 11.5884i −0.183284 + 0.644796i
\(324\) 1.00000i 0.0555556i
\(325\) −6.25061 + 0.314710i −0.346721 + 0.0174570i
\(326\) 5.25423 + 3.03353i 0.291005 + 0.168012i
\(327\) 16.5225 + 4.42720i 0.913699 + 0.244825i
\(328\) 3.47985 0.932424i 0.192143 0.0514845i
\(329\) 6.08898 3.51547i 0.335696 0.193814i
\(330\) −2.82860 + 2.28575i −0.155709 + 0.125826i
\(331\) 11.9008i 0.654128i −0.945002 0.327064i \(-0.893941\pi\)
0.945002 0.327064i \(-0.106059\pi\)
\(332\) 6.36862 + 1.70647i 0.349523 + 0.0936545i
\(333\) −1.83353 0.491292i −0.100477 0.0269226i
\(334\) 4.09726i 0.224192i
\(335\) 10.6449 + 1.12987i 0.581592 + 0.0617316i
\(336\) −0.582565 + 0.336344i −0.0317815 + 0.0183491i
\(337\) 2.43133 0.651472i 0.132443 0.0354879i −0.191989 0.981397i \(-0.561494\pi\)
0.324431 + 0.945909i \(0.394827\pi\)
\(338\) −11.0437 2.95914i −0.600696 0.160956i
\(339\) 2.20226 + 1.27148i 0.119610 + 0.0690571i
\(340\) −3.63778 + 4.99618i −0.197286 + 0.270956i
\(341\) 8.06813i 0.436914i
\(342\) 4.22698 1.06427i 0.228569 0.0575490i
\(343\) 6.44403 + 6.44403i 0.347945 + 0.347945i
\(344\) 2.08239 3.60681i 0.112275 0.194466i
\(345\) 0.465901 + 2.96126i 0.0250833 + 0.159429i
\(346\) −12.3435 21.3796i −0.663590 1.14937i
\(347\) −1.92417 7.18112i −0.103295 0.385503i 0.894851 0.446365i \(-0.147282\pi\)
−0.998146 + 0.0608622i \(0.980615\pi\)
\(348\) −1.47830 + 5.51711i −0.0792454 + 0.295748i
\(349\) 25.1017i 1.34366i −0.740704 0.671832i \(-0.765508\pi\)
0.740704 0.671832i \(-0.234492\pi\)
\(350\) −0.706054 + 3.28850i −0.0377402 + 0.175778i
\(351\) 0.625852 + 1.08401i 0.0334055 + 0.0578601i
\(352\) 0.420939 1.57097i 0.0224361 0.0837327i
\(353\) −21.8977 21.8977i −1.16550 1.16550i −0.983254 0.182243i \(-0.941664\pi\)
−0.182243 0.983254i \(-0.558336\pi\)
\(354\) −6.43306 −0.341913
\(355\) 6.07717 15.7831i 0.322543 0.837680i
\(356\) −0.593017 0.342379i −0.0314299 0.0181460i
\(357\) −0.481204 + 1.79588i −0.0254680 + 0.0950480i
\(358\) 11.3028 3.02856i 0.597369 0.160065i
\(359\) −18.0718 10.4337i −0.953791 0.550671i −0.0595342 0.998226i \(-0.518962\pi\)
−0.894256 + 0.447555i \(0.852295\pi\)
\(360\) 2.22358 + 0.236016i 0.117193 + 0.0124391i
\(361\) 8.99727 + 16.7347i 0.473541 + 0.880772i
\(362\) −1.34414 + 1.34414i −0.0706464 + 0.0706464i
\(363\) 2.16240 + 8.07019i 0.113497 + 0.423575i
\(364\) 0.421004 0.729200i 0.0220666 0.0382205i
\(365\) −10.8691 24.4801i −0.568917 1.28135i
\(366\) −0.415397 + 0.719489i −0.0217132 + 0.0376083i
\(367\) −5.08157 1.36160i −0.265256 0.0710751i 0.123740 0.992315i \(-0.460511\pi\)
−0.388996 + 0.921240i \(0.627178\pi\)
\(368\) −0.947951 0.947951i −0.0494154 0.0494154i
\(369\) −3.60261 −0.187544
\(370\) 1.52517 3.96104i 0.0792897 0.205925i
\(371\) 0.669192 0.386358i 0.0347427 0.0200587i
\(372\) 3.50780 3.50780i 0.181871 0.181871i
\(373\) 14.6871 14.6871i 0.760471 0.760471i −0.215936 0.976407i \(-0.569280\pi\)
0.976407 + 0.215936i \(0.0692804\pi\)
\(374\) −2.24756 3.89290i −0.116219 0.201297i
\(375\) 8.33162 7.45548i 0.430243 0.384999i
\(376\) 9.05171 5.22600i 0.466806 0.269511i
\(377\) −1.85040 6.90579i −0.0953005 0.355666i
\(378\) 0.649767 0.174105i 0.0334204 0.00895497i
\(379\) 8.46284 0.434707 0.217353 0.976093i \(-0.430258\pi\)
0.217353 + 0.976093i \(0.430258\pi\)
\(380\) 1.36885 + 9.65019i 0.0702204 + 0.495045i
\(381\) 8.47645 0.434262
\(382\) −4.29542 + 1.15095i −0.219773 + 0.0588879i
\(383\) 4.83330 + 18.0381i 0.246970 + 0.921705i 0.972383 + 0.233391i \(0.0749822\pi\)
−0.725413 + 0.688314i \(0.758351\pi\)
\(384\) −0.866025 + 0.500000i −0.0441942 + 0.0255155i
\(385\) −1.97768 1.43997i −0.100792 0.0733877i
\(386\) −3.23985 5.61158i −0.164904 0.285622i
\(387\) −2.94494 + 2.94494i −0.149700 + 0.149700i
\(388\) −5.00166 + 5.00166i −0.253921 + 0.253921i
\(389\) −17.1551 + 9.90453i −0.869800 + 0.502180i −0.867282 0.497817i \(-0.834135\pi\)
−0.00251856 + 0.999997i \(0.500802\pi\)
\(390\) −2.55809 + 1.13579i −0.129534 + 0.0575128i
\(391\) −3.70528 −0.187384
\(392\) 4.62977 + 4.62977i 0.233839 + 0.233839i
\(393\) −14.0233 3.75753i −0.707381 0.189542i
\(394\) −8.72654 + 15.1148i −0.439637 + 0.761473i
\(395\) 14.6439 + 5.63853i 0.736815 + 0.283705i
\(396\) −0.813191 + 1.40849i −0.0408644 + 0.0707792i
\(397\) −8.37823 31.2680i −0.420492 1.56930i −0.773575 0.633704i \(-0.781534\pi\)
0.353084 0.935592i \(-0.385133\pi\)
\(398\) −3.86039 + 3.86039i −0.193504 + 0.193504i
\(399\) 1.42746 + 2.56126i 0.0714625 + 0.128223i
\(400\) −1.04960 + 4.88859i −0.0524800 + 0.244430i
\(401\) −21.7720 12.5701i −1.08724 0.627721i −0.154403 0.988008i \(-0.549345\pi\)
−0.932841 + 0.360287i \(0.882679\pi\)
\(402\) 4.62415 1.23904i 0.230632 0.0617976i
\(403\) −1.60712 + 5.99785i −0.0800563 + 0.298774i
\(404\) −8.96379 5.17525i −0.445965 0.257478i
\(405\) −2.08673 0.803478i −0.103690 0.0399252i
\(406\) −3.84221 −0.190686
\(407\) 2.18299 + 2.18299i 0.108207 + 0.108207i
\(408\) −0.715345 + 2.66970i −0.0354149 + 0.132170i
\(409\) 4.90995 + 8.50429i 0.242781 + 0.420510i 0.961506 0.274786i \(-0.0886069\pi\)
−0.718724 + 0.695295i \(0.755274\pi\)
\(410\) 0.850274 8.01068i 0.0419920 0.395619i
\(411\) 5.98291i 0.295115i
\(412\) 4.03532 15.0600i 0.198806 0.741953i
\(413\) −1.12003 4.17999i −0.0551129 0.205684i
\(414\) 0.670303 + 1.16100i 0.0329436 + 0.0570600i
\(415\) 8.67797 11.9184i 0.425985 0.585054i
\(416\) 0.625852 1.08401i 0.0306849 0.0531479i
\(417\) −1.56026 1.56026i −0.0764063 0.0764063i
\(418\) −6.81910 1.93833i −0.333533 0.0948069i
\(419\) 8.66603i 0.423363i 0.977339 + 0.211682i \(0.0678940\pi\)
−0.977339 + 0.211682i \(0.932106\pi\)
\(420\) 0.233780 + 1.48590i 0.0114073 + 0.0725045i
\(421\) 25.8462 + 14.9223i 1.25967 + 0.727270i 0.973010 0.230763i \(-0.0741223\pi\)
0.286658 + 0.958033i \(0.407456\pi\)
\(422\) −18.6557 4.99878i −0.908146 0.243337i
\(423\) −10.0959 + 2.70518i −0.490878 + 0.131530i
\(424\) 0.994803 0.574350i 0.0483119 0.0278929i
\(425\) 7.50277 + 11.6054i 0.363938 + 0.562943i
\(426\) 7.56358i 0.366456i
\(427\) −0.539823 0.144645i −0.0261239 0.00699987i
\(428\) 15.2180 + 4.07766i 0.735591 + 0.197101i
\(429\) 2.03575i 0.0982870i
\(430\) −5.85326 7.24337i −0.282269 0.349306i
\(431\) −25.0256 + 14.4485i −1.20544 + 0.695960i −0.961759 0.273895i \(-0.911688\pi\)
−0.243679 + 0.969856i \(0.578354\pi\)
\(432\) 0.965926 0.258819i 0.0464731 0.0124524i
\(433\) 18.2959 + 4.90237i 0.879245 + 0.235593i 0.670081 0.742288i \(-0.266259\pi\)
0.209163 + 0.977881i \(0.432926\pi\)
\(434\) 2.88998 + 1.66853i 0.138723 + 0.0800920i
\(435\) 10.3249 + 7.51769i 0.495041 + 0.360446i
\(436\) 17.1054i 0.819200i
\(437\) −4.19413 + 4.06897i −0.200633 + 0.194645i
\(438\) −8.47003 8.47003i −0.404714 0.404714i
\(439\) −9.90482 + 17.1556i −0.472731 + 0.818794i −0.999513 0.0312062i \(-0.990065\pi\)
0.526782 + 0.850001i \(0.323398\pi\)
\(440\) −2.93996 2.14062i −0.140157 0.102050i
\(441\) −3.27375 5.67029i −0.155893 0.270014i
\(442\) −0.895401 3.34168i −0.0425899 0.158948i
\(443\) −3.07713 + 11.4840i −0.146199 + 0.545622i 0.853500 + 0.521092i \(0.174475\pi\)
−0.999699 + 0.0245292i \(0.992191\pi\)
\(444\) 1.89821i 0.0900849i
\(445\) −1.19093 + 0.962371i −0.0564554 + 0.0456207i
\(446\) 3.97404 + 6.88325i 0.188176 + 0.325931i
\(447\) −1.79182 + 6.68716i −0.0847501 + 0.316292i
\(448\) −0.475663 0.475663i −0.0224729 0.0224729i
\(449\) −7.41035 −0.349716 −0.174858 0.984594i \(-0.555947\pi\)
−0.174858 + 0.984594i \(0.555947\pi\)
\(450\) 2.27910 4.45036i 0.107438 0.209792i
\(451\) 5.07423 + 2.92961i 0.238936 + 0.137950i
\(452\) −0.658165 + 2.45630i −0.0309575 + 0.115535i
\(453\) 17.9120 4.79951i 0.841579 0.225500i
\(454\) 17.2561 + 9.96280i 0.809868 + 0.467578i
\(455\) −1.18337 1.46442i −0.0554774 0.0686528i
\(456\) 2.12203 + 3.80749i 0.0993730 + 0.178302i
\(457\) 13.3138 13.3138i 0.622795 0.622795i −0.323450 0.946245i \(-0.604843\pi\)
0.946245 + 0.323450i \(0.104843\pi\)
\(458\) −4.06613 15.1750i −0.189998 0.709082i
\(459\) 1.38194 2.39359i 0.0645035 0.111723i
\(460\) −2.73977 + 1.21646i −0.127743 + 0.0567176i
\(461\) 15.5199 26.8812i 0.722833 1.25198i −0.237027 0.971503i \(-0.576173\pi\)
0.959860 0.280480i \(-0.0904936\pi\)
\(462\) −1.05677 0.283161i −0.0491654 0.0131738i
\(463\) −24.2186 24.2186i −1.12554 1.12554i −0.990894 0.134642i \(-0.957012\pi\)
−0.134642 0.990894i \(-0.542988\pi\)
\(464\) −5.71173 −0.265160
\(465\) −4.50138 10.1383i −0.208746 0.470151i
\(466\) −10.4012 + 6.00513i −0.481826 + 0.278182i
\(467\) −24.7969 + 24.7969i −1.14747 + 1.14747i −0.160416 + 0.987050i \(0.551284\pi\)
−0.987050 + 0.160416i \(0.948716\pi\)
\(468\) −0.885089 + 0.885089i −0.0409132 + 0.0409132i
\(469\) 1.61017 + 2.78890i 0.0743508 + 0.128779i
\(470\) −3.63239 23.0874i −0.167550 1.06494i
\(471\) 5.39894 3.11708i 0.248770 0.143627i
\(472\) −1.66500 6.21386i −0.0766378 0.286016i
\(473\) 6.54273 1.75312i 0.300835 0.0806084i
\(474\) 7.01765 0.322331
\(475\) 21.2371 + 4.89731i 0.974427 + 0.224704i
\(476\) −1.85923 −0.0852177
\(477\) −1.10956 + 0.297305i −0.0508032 + 0.0136127i
\(478\) −0.939056 3.50461i −0.0429514 0.160297i
\(479\) 3.46817 2.00235i 0.158465 0.0914896i −0.418671 0.908138i \(-0.637504\pi\)
0.577135 + 0.816649i \(0.304171\pi\)
\(480\) 0.347530 + 2.20890i 0.0158625 + 0.100822i
\(481\) 1.18800 + 2.05767i 0.0541680 + 0.0938218i
\(482\) −18.3122 + 18.3122i −0.834096 + 0.834096i
\(483\) −0.637676 + 0.637676i −0.0290153 + 0.0290153i
\(484\) −7.23554 + 4.17744i −0.328888 + 0.189884i
\(485\) 6.41836 + 14.4558i 0.291443 + 0.656404i
\(486\) −1.00000 −0.0453609
\(487\) 6.31478 + 6.31478i 0.286150 + 0.286150i 0.835556 0.549406i \(-0.185146\pi\)
−0.549406 + 0.835556i \(0.685146\pi\)
\(488\) −0.802486 0.215026i −0.0363268 0.00973375i
\(489\) 3.03353 5.25423i 0.137181 0.237605i
\(490\) 13.3810 5.94115i 0.604492 0.268394i
\(491\) −15.9356 + 27.6012i −0.719162 + 1.24563i 0.242170 + 0.970234i \(0.422141\pi\)
−0.961332 + 0.275392i \(0.911193\pi\)
\(492\) −0.932424 3.47985i −0.0420369 0.156884i
\(493\) −11.1628 + 11.1628i −0.502746 + 0.502746i
\(494\) −4.68322 2.79928i −0.210708 0.125945i
\(495\) 2.28575 + 2.82860i 0.102737 + 0.127136i
\(496\) 4.29616 + 2.48039i 0.192903 + 0.111373i
\(497\) 4.91456 1.31685i 0.220448 0.0590689i
\(498\) 1.70647 6.36862i 0.0764686 0.285385i
\(499\) 30.6251 + 17.6814i 1.37097 + 0.791530i 0.991050 0.133490i \(-0.0426183\pi\)
0.379920 + 0.925020i \(0.375952\pi\)
\(500\) 9.35782 + 6.11810i 0.418494 + 0.273610i
\(501\) −4.09726 −0.183052
\(502\) −6.67327 6.67327i −0.297843 0.297843i
\(503\) −7.02279 + 26.2094i −0.313131 + 1.16862i 0.612587 + 0.790403i \(0.290129\pi\)
−0.925717 + 0.378216i \(0.876538\pi\)
\(504\) 0.336344 + 0.582565i 0.0149820 + 0.0259495i
\(505\) −18.0015 + 14.5468i −0.801057 + 0.647323i
\(506\) 2.18034i 0.0969279i
\(507\) −2.95914 + 11.0437i −0.131420 + 0.490466i
\(508\) 2.19387 + 8.18762i 0.0973371 + 0.363267i
\(509\) 21.6849 + 37.5594i 0.961167 + 1.66479i 0.719579 + 0.694411i \(0.244335\pi\)
0.241588 + 0.970379i \(0.422332\pi\)
\(510\) 4.99618 + 3.63778i 0.221234 + 0.161084i
\(511\) 4.02888 6.97822i 0.178227 0.308698i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −1.06427 4.22698i −0.0469886 0.186626i
\(514\) 2.70355i 0.119248i
\(515\) −28.1838 20.5210i −1.24193 0.904263i
\(516\) −3.60681 2.08239i −0.158781 0.0916721i
\(517\) 16.4197 + 4.39966i 0.722140 + 0.193497i
\(518\) 1.23339 0.330487i 0.0541922 0.0145207i
\(519\) −21.3796 + 12.3435i −0.938458 + 0.541819i
\(520\) −1.75917 2.17696i −0.0771446 0.0954660i
\(521\) 12.8096i 0.561199i 0.959825 + 0.280600i \(0.0905333\pi\)
−0.959825 + 0.280600i \(0.909467\pi\)
\(522\) 5.51711 + 1.47830i 0.241477 + 0.0647036i
\(523\) 26.2723 + 7.03964i 1.14881 + 0.307822i 0.782487 0.622667i \(-0.213951\pi\)
0.366321 + 0.930489i \(0.380617\pi\)
\(524\) 14.5180i 0.634220i
\(525\) 3.28850 + 0.706054i 0.143522 + 0.0308147i
\(526\) −12.1154 + 6.99482i −0.528256 + 0.304988i
\(527\) 13.2438 3.54867i 0.576910 0.154582i
\(528\) −1.57097 0.420939i −0.0683675 0.0183190i
\(529\) 18.3621 + 10.6014i 0.798354 + 0.460930i
\(530\) −0.399208 2.53736i −0.0173405 0.110216i
\(531\) 6.43306i 0.279171i
\(532\) −2.10453 + 2.04172i −0.0912429 + 0.0885200i
\(533\) 3.18863 + 3.18863i 0.138115 + 0.138115i
\(534\) −0.342379 + 0.593017i −0.0148162 + 0.0256624i
\(535\) 20.7363 28.4795i 0.896508 1.23128i
\(536\) 2.39364 + 4.14590i 0.103389 + 0.179076i
\(537\) −3.02856 11.3028i −0.130692 0.487750i
\(538\) −2.77731 + 10.3651i −0.119738 + 0.446870i
\(539\) 10.6487i 0.458673i
\(540\) 0.236016 2.22358i 0.0101565 0.0956875i
\(541\) 10.1395 + 17.5621i 0.435930 + 0.755052i 0.997371 0.0724642i \(-0.0230863\pi\)
−0.561441 + 0.827517i \(0.689753\pi\)
\(542\) 0.658088 2.45602i 0.0282673 0.105495i
\(543\) 1.34414 + 1.34414i 0.0576826 + 0.0576826i
\(544\) −2.76388 −0.118500
\(545\) 35.6943 + 13.7438i 1.52897 + 0.588720i
\(546\) −0.729200 0.421004i −0.0312069 0.0180173i
\(547\) 0.896314 3.34509i 0.0383236 0.143026i −0.944113 0.329622i \(-0.893079\pi\)
0.982437 + 0.186596i \(0.0597455\pi\)
\(548\) 5.77905 1.54849i 0.246869 0.0661483i
\(549\) 0.719489 + 0.415397i 0.0307071 + 0.0177287i
\(550\) −6.82908 + 4.41494i −0.291193 + 0.188254i
\(551\) −0.377079 + 24.8940i −0.0160641 + 1.06052i
\(552\) −0.947951 + 0.947951i −0.0403475 + 0.0403475i
\(553\) 1.22181 + 4.55984i 0.0519565 + 0.193904i
\(554\) −5.04896 + 8.74505i −0.214510 + 0.371542i
\(555\) −3.96104 1.52517i −0.168137 0.0647398i
\(556\) 1.10327 1.91092i 0.0467891 0.0810412i
\(557\) −12.8118 3.43290i −0.542852 0.145457i −0.0230353 0.999735i \(-0.507333\pi\)
−0.519817 + 0.854278i \(0.674000\pi\)
\(558\) −3.50780 3.50780i −0.148497 0.148497i
\(559\) 5.21307 0.220490
\(560\) −1.37476 + 0.610393i −0.0580943 + 0.0257938i
\(561\) −3.89290 + 2.24756i −0.164358 + 0.0948922i
\(562\) 6.12698 6.12698i 0.258451 0.258451i
\(563\) 17.9180 17.9180i 0.755154 0.755154i −0.220282 0.975436i \(-0.570698\pi\)
0.975436 + 0.220282i \(0.0706978\pi\)
\(564\) −5.22600 9.05171i −0.220055 0.381146i
\(565\) 4.59681 + 3.34700i 0.193389 + 0.140809i
\(566\) 24.9192 14.3871i 1.04743 0.604734i
\(567\) −0.174105 0.649767i −0.00731171 0.0272877i
\(568\) 7.30585 1.95760i 0.306547 0.0821390i
\(569\) 11.8147 0.495298 0.247649 0.968850i \(-0.420342\pi\)
0.247649 + 0.968850i \(0.420342\pi\)
\(570\) 9.65019 1.36885i 0.404202 0.0573347i
\(571\) 1.26234 0.0528273 0.0264136 0.999651i \(-0.491591\pi\)
0.0264136 + 0.999651i \(0.491591\pi\)
\(572\) 1.96638 0.526891i 0.0822187 0.0220304i
\(573\) 1.15095 + 4.29542i 0.0480818 + 0.179444i
\(574\) 2.09876 1.21172i 0.0876003 0.0505761i
\(575\) 0.337062 + 6.69455i 0.0140565 + 0.279182i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) −32.8530 + 32.8530i −1.36769 + 1.36769i −0.503968 + 0.863722i \(0.668127\pi\)
−0.863722 + 0.503968i \(0.831873\pi\)
\(578\) 6.61920 6.61920i 0.275322 0.275322i
\(579\) −5.61158 + 3.23985i −0.233209 + 0.134644i
\(580\) −4.58925 + 11.9188i −0.190558 + 0.494902i
\(581\) 4.43522 0.184004
\(582\) 5.00166 + 5.00166i 0.207325 + 0.207325i
\(583\) 1.80457 + 0.483532i 0.0747375 + 0.0200259i
\(584\) 5.98921 10.3736i 0.247835 0.429264i
\(585\) 1.13579 + 2.55809i 0.0469590 + 0.105764i
\(586\) −5.37578 + 9.31112i −0.222071 + 0.384639i
\(587\) −8.38515 31.2938i −0.346092 1.29163i −0.891331 0.453353i \(-0.850228\pi\)
0.545239 0.838281i \(-0.316439\pi\)
\(588\) 4.62977 4.62977i 0.190929 0.190929i
\(589\) 11.0942 18.5606i 0.457127 0.764778i
\(590\) −14.3044 1.51831i −0.588903 0.0625077i
\(591\) 15.1148 + 8.72654i 0.621740 + 0.358962i
\(592\) 1.83353 0.491292i 0.0753575 0.0201920i
\(593\) 1.83147 6.83512i 0.0752093 0.280685i −0.918071 0.396415i \(-0.870254\pi\)
0.993281 + 0.115730i \(0.0369208\pi\)
\(594\) 1.40849 + 0.813191i 0.0577910 + 0.0333657i
\(595\) −1.49385 + 3.87970i −0.0612419 + 0.159052i
\(596\) −6.92305 −0.283579
\(597\) 3.86039 + 3.86039i 0.157995 + 0.157995i
\(598\) 0.434309 1.62086i 0.0177602 0.0662821i
\(599\) −2.85348 4.94237i −0.116590 0.201940i 0.801824 0.597560i \(-0.203863\pi\)
−0.918414 + 0.395620i \(0.870530\pi\)
\(600\) 4.88859 + 1.04960i 0.199576 + 0.0428497i
\(601\) 39.9006i 1.62758i 0.581158 + 0.813791i \(0.302600\pi\)
−0.581158 + 0.813791i \(0.697400\pi\)
\(602\) 0.725107 2.70614i 0.0295532 0.110294i
\(603\) −1.23904 4.62415i −0.0504575 0.188310i
\(604\) 9.27193 + 16.0595i 0.377270 + 0.653450i
\(605\) 2.90357 + 18.4551i 0.118047 + 0.750305i
\(606\) −5.17525 + 8.96379i −0.210230 + 0.364129i
\(607\) −18.8575 18.8575i −0.765401 0.765401i 0.211892 0.977293i \(-0.432038\pi\)
−0.977293 + 0.211892i \(0.932038\pi\)
\(608\) −3.12854 + 3.03517i −0.126879 + 0.123092i
\(609\) 3.84221i 0.155694i
\(610\) −1.09348 + 1.50180i −0.0442737 + 0.0608061i
\(611\) 11.3301 + 6.54141i 0.458365 + 0.264637i
\(612\) 2.66970 + 0.715345i 0.107916 + 0.0289161i
\(613\) −34.5726 + 9.26369i −1.39637 + 0.374157i −0.877041 0.480416i \(-0.840486\pi\)
−0.519332 + 0.854573i \(0.673819\pi\)
\(614\) 13.5828 7.84202i 0.548156 0.316478i
\(615\) −8.01068 0.850274i −0.323022 0.0342863i
\(616\) 1.09405i 0.0440805i
\(617\) −5.66641 1.51831i −0.228121 0.0611248i 0.142948 0.989730i \(-0.454342\pi\)
−0.371069 + 0.928605i \(0.621009\pi\)
\(618\) −15.0600 4.03532i −0.605802 0.162324i
\(619\) 24.1098i 0.969053i 0.874777 + 0.484526i \(0.161008\pi\)
−0.874777 + 0.484526i \(0.838992\pi\)
\(620\) 8.62777 6.97197i 0.346499 0.280001i
\(621\) 1.16100 0.670303i 0.0465893 0.0268983i
\(622\) −26.9212 + 7.21352i −1.07944 + 0.289236i
\(623\) −0.444933 0.119219i −0.0178259 0.00477643i
\(624\) −1.08401 0.625852i −0.0433950 0.0250541i
\(625\) 20.2856 14.6114i 0.811424 0.584457i
\(626\) 27.5134i 1.09966i
\(627\) −1.93833 + 6.81910i −0.0774095 + 0.272329i
\(628\) 4.40822 + 4.40822i 0.175907 + 0.175907i
\(629\) 2.62321 4.54353i 0.104594 0.181162i
\(630\) 1.48590 0.233780i 0.0591996 0.00931400i
\(631\) −0.628980 1.08943i −0.0250393 0.0433693i 0.853234 0.521528i \(-0.174638\pi\)
−0.878274 + 0.478159i \(0.841304\pi\)
\(632\) 1.81630 + 6.77853i 0.0722486 + 0.269635i
\(633\) −4.99878 + 18.6557i −0.198684 + 0.741498i
\(634\) 8.95311i 0.355574i
\(635\) 18.8480 + 2.00058i 0.747962 + 0.0793905i
\(636\) −0.574350 0.994803i −0.0227744 0.0394465i
\(637\) −2.12116 + 7.91627i −0.0840433 + 0.313654i
\(638\) −6.56864 6.56864i −0.260055 0.260055i
\(639\) −7.56358 −0.299210
\(640\) −2.04368 + 0.907393i −0.0807836 + 0.0358678i
\(641\) 27.4817 + 15.8666i 1.08546 + 0.626693i 0.932365 0.361518i \(-0.117741\pi\)
0.153099 + 0.988211i \(0.451075\pi\)
\(642\) 4.07766 15.2180i 0.160932 0.600607i
\(643\) 45.9729 12.3184i 1.81299 0.485790i 0.817114 0.576477i \(-0.195573\pi\)
0.995879 + 0.0906865i \(0.0289061\pi\)
\(644\) −0.780991 0.450905i −0.0307753 0.0177681i
\(645\) −7.24337 + 5.85326i −0.285207 + 0.230472i
\(646\) −0.182467 + 12.0461i −0.00717907 + 0.473947i
\(647\) 8.98596 8.98596i 0.353275 0.353275i −0.508052 0.861326i \(-0.669634\pi\)
0.861326 + 0.508052i \(0.169634\pi\)
\(648\) −0.258819 0.965926i −0.0101674 0.0379452i
\(649\) 5.23131 9.06090i 0.205347 0.355671i
\(650\) −5.95617 + 1.92176i −0.233620 + 0.0753777i
\(651\) 1.66853 2.88998i 0.0653949 0.113267i
\(652\) 5.86034 + 1.57027i 0.229508 + 0.0614966i
\(653\) −1.65889 1.65889i −0.0649173 0.0649173i 0.673903 0.738820i \(-0.264617\pi\)
−0.738820 + 0.673903i \(0.764617\pi\)
\(654\) 17.1054 0.668874
\(655\) −30.2950 11.6649i −1.18372 0.455784i
\(656\) 3.11995 1.80130i 0.121814 0.0703291i
\(657\) −8.47003 + 8.47003i −0.330447 + 0.330447i
\(658\) 4.97163 4.97163i 0.193814 0.193814i
\(659\) 25.4536 + 44.0869i 0.991531 + 1.71738i 0.608239 + 0.793754i \(0.291876\pi\)
0.383292 + 0.923627i \(0.374790\pi\)
\(660\) −2.14062 + 2.93996i −0.0833235 + 0.114438i
\(661\) −21.1202 + 12.1938i −0.821481 + 0.474282i −0.850927 0.525284i \(-0.823959\pi\)
0.0294457 + 0.999566i \(0.490626\pi\)
\(662\) −3.08016 11.4953i −0.119714 0.446778i
\(663\) −3.34168 + 0.895401i −0.129780 + 0.0347745i
\(664\) 6.59328 0.255869
\(665\) 2.56958 + 6.03206i 0.0996439 + 0.233913i
\(666\) −1.89821 −0.0735540
\(667\) −7.39627 + 1.98182i −0.286385 + 0.0767365i
\(668\) −1.06045 3.95765i −0.0410300 0.153126i
\(669\) 6.88325 3.97404i 0.266122 0.153645i
\(670\) 10.5746 1.66372i 0.408532 0.0642752i
\(671\) −0.675595 1.17017i −0.0260811 0.0451737i
\(672\) −0.475663 + 0.475663i −0.0183491 + 0.0183491i
\(673\) −19.9198 + 19.9198i −0.767852 + 0.767852i −0.977728 0.209876i \(-0.932694\pi\)
0.209876 + 0.977728i \(0.432694\pi\)
\(674\) 2.17987 1.25855i 0.0839653 0.0484774i
\(675\) −4.45036 2.27910i −0.171294 0.0877225i
\(676\) −11.4332 −0.439740
\(677\) −17.6870 17.6870i −0.679767 0.679767i 0.280180 0.959947i \(-0.409606\pi\)
−0.959947 + 0.280180i \(0.909606\pi\)
\(678\) 2.45630 + 0.658165i 0.0943338 + 0.0252767i
\(679\) −2.37910 + 4.12072i −0.0913015 + 0.158139i
\(680\) −2.22072 + 5.76746i −0.0851607 + 0.221172i
\(681\) 9.96280 17.2561i 0.381775 0.661255i
\(682\) 2.08819 + 7.79321i 0.0799608 + 0.298418i
\(683\) −26.7822 + 26.7822i −1.02479 + 1.02479i −0.0251094 + 0.999685i \(0.507993\pi\)
−0.999685 + 0.0251094i \(0.992007\pi\)
\(684\) 3.80749 2.12203i 0.145583 0.0811377i
\(685\) 1.41206 13.3035i 0.0539522 0.508299i
\(686\) 7.89230 + 4.55662i 0.301329 + 0.173973i
\(687\) −15.1750 + 4.06613i −0.578963 + 0.155133i
\(688\) 1.07792 4.02287i 0.0410955 0.153370i
\(689\) 1.24520 + 0.718916i 0.0474383 + 0.0273885i
\(690\) 1.21646 + 2.73977i 0.0463097 + 0.104301i
\(691\) −31.6578 −1.20432 −0.602160 0.798376i \(-0.705693\pi\)
−0.602160 + 0.798376i \(0.705693\pi\)
\(692\) −17.4563 17.4563i −0.663590 0.663590i
\(693\) −0.283161 + 1.05677i −0.0107564 + 0.0401434i
\(694\) −3.71722 6.43841i −0.141104 0.244399i
\(695\) −3.10112 3.83761i −0.117632 0.145569i
\(696\) 5.71173i 0.216503i
\(697\) 2.57711 9.61790i 0.0976149 0.364304i
\(698\) −6.49680 24.2464i −0.245908 0.917739i
\(699\) 6.00513 + 10.4012i 0.227135 + 0.393409i
\(700\) 0.169131 + 3.35919i 0.00639254 + 0.126965i
\(701\) −2.58474 + 4.47690i −0.0976242 + 0.169090i −0.910701 0.413067i \(-0.864458\pi\)
0.813077 + 0.582157i \(0.197791\pi\)
\(702\) 0.885089 + 0.885089i 0.0334055 + 0.0334055i
\(703\) −2.02020 8.02368i −0.0761933 0.302619i
\(704\) 1.62638i 0.0612966i
\(705\) −23.0874 + 3.63239i −0.869522 + 0.136804i
\(706\) −26.8191 15.4840i −1.00935 0.582748i
\(707\) −6.72541 1.80207i −0.252935 0.0677737i
\(708\) −6.21386 + 1.66500i −0.233531 + 0.0625745i
\(709\) 6.38339 3.68545i 0.239733 0.138410i −0.375321 0.926895i \(-0.622467\pi\)
0.615054 + 0.788485i \(0.289134\pi\)
\(710\) 1.78513 16.8182i 0.0669946 0.631176i
\(711\) 7.01765i 0.263183i
\(712\) −0.661425 0.177228i −0.0247879 0.00664191i
\(713\) 6.42384 + 1.72126i 0.240575 + 0.0644618i
\(714\) 1.85923i 0.0695800i
\(715\) 0.480470 4.52665i 0.0179686 0.169287i
\(716\) 10.1338 5.85073i 0.378717 0.218652i
\(717\) −3.50461 + 0.939056i −0.130882 + 0.0350697i
\(718\) −20.1564 5.40090i −0.752231 0.201560i
\(719\) −42.8222 24.7234i −1.59700 0.922027i −0.992061 0.125754i \(-0.959865\pi\)
−0.604937 0.796273i \(-0.706802\pi\)
\(720\) 2.20890 0.347530i 0.0823207 0.0129517i
\(721\) 10.4881i 0.390596i
\(722\) 13.0219 + 13.8358i 0.484627 + 0.514915i
\(723\) 18.3122 + 18.3122i 0.681037 + 0.681037i
\(724\) −0.950450 + 1.64623i −0.0353232 + 0.0611816i
\(725\) 21.1839 + 19.1530i 0.786751 + 0.711325i
\(726\) 4.17744 + 7.23554i 0.155039 + 0.268536i
\(727\) −4.32111 16.1266i −0.160261 0.598102i −0.998597 0.0529488i \(-0.983138\pi\)
0.838336 0.545154i \(-0.183529\pi\)
\(728\) 0.217928 0.813317i 0.00807693 0.0301435i
\(729\) 1.00000i 0.0370370i
\(730\) −16.8347 20.8328i −0.623080 0.771057i
\(731\) −5.75548 9.96878i −0.212874 0.368709i
\(732\) −0.215026 + 0.802486i −0.00794757 + 0.0296607i
\(733\) −28.9803 28.9803i −1.07041 1.07041i −0.997326 0.0730851i \(-0.976716\pi\)
−0.0730851 0.997326i \(-0.523284\pi\)
\(734\) −5.26083 −0.194181
\(735\) −5.94115 13.3810i −0.219142 0.493565i
\(736\) −1.16100 0.670303i −0.0427950 0.0247077i
\(737\) −2.01515 + 7.52064i −0.0742290 + 0.277026i
\(738\) −3.47985 + 0.932424i −0.128095 + 0.0343230i
\(739\) 0.401662 + 0.231900i 0.0147754 + 0.00853057i 0.507370 0.861729i \(-0.330618\pi\)
−0.492594 + 0.870259i \(0.663951\pi\)
\(740\) 0.448007 4.22081i 0.0164691 0.155160i
\(741\) −2.79928 + 4.68322i −0.102834 + 0.172042i
\(742\) 0.546393 0.546393i 0.0200587 0.0200587i
\(743\) −8.94439 33.3809i −0.328138 1.22463i −0.911120 0.412142i \(-0.864781\pi\)
0.582982 0.812485i \(-0.301886\pi\)
\(744\) 2.48039 4.29616i 0.0909355 0.157505i
\(745\) −5.56252 + 14.4465i −0.203795 + 0.529279i
\(746\) 10.3854 17.9880i 0.380235 0.658587i
\(747\) −6.36862 1.70647i −0.233016 0.0624363i
\(748\) −3.17854 3.17854i −0.116219 0.116219i
\(749\) 10.5981 0.387247
\(750\) 6.11810 9.35782i 0.223402 0.341699i
\(751\) −12.6538 + 7.30567i −0.461743 + 0.266588i −0.712777 0.701391i \(-0.752563\pi\)
0.251034 + 0.967978i \(0.419230\pi\)
\(752\) 7.39069 7.39069i 0.269511 0.269511i
\(753\) −6.67327 + 6.67327i −0.243188 + 0.243188i
\(754\) −3.57470 6.19156i −0.130183 0.225483i
\(755\) 40.9615 6.44455i 1.49074 0.234541i
\(756\) 0.582565 0.336344i 0.0211877 0.0122327i
\(757\) 2.48410 + 9.27080i 0.0902862 + 0.336953i 0.996263 0.0863753i \(-0.0275284\pi\)
−0.905976 + 0.423328i \(0.860862\pi\)
\(758\) 8.17448 2.19034i 0.296910 0.0795569i
\(759\) −2.18034 −0.0791413
\(760\) 3.81986 + 8.96709i 0.138561 + 0.325270i
\(761\) 40.8010 1.47903 0.739517 0.673138i \(-0.235054\pi\)
0.739517 + 0.673138i \(0.235054\pi\)
\(762\) 8.18762 2.19387i 0.296606 0.0794754i
\(763\) 2.97813 + 11.1145i 0.107815 + 0.402373i
\(764\) −3.85117 + 2.22347i −0.139330 + 0.0804424i
\(765\) 3.63778 4.99618i 0.131524 0.180637i
\(766\) 9.33722 + 16.1725i 0.337367 + 0.584338i
\(767\) 5.69383 5.69383i 0.205592 0.205592i
\(768\) −0.707107 + 0.707107i −0.0255155 + 0.0255155i
\(769\) 38.9776 22.5037i 1.40557 0.811506i 0.410612 0.911810i \(-0.365315\pi\)
0.994957 + 0.100304i \(0.0319816\pi\)
\(770\) −2.28298 0.879045i −0.0822729 0.0316786i
\(771\) −2.70355 −0.0973659
\(772\) −4.58184 4.58184i −0.164904 0.164904i
\(773\) 10.4792 + 2.80790i 0.376912 + 0.100993i 0.442301 0.896867i \(-0.354162\pi\)
−0.0653895 + 0.997860i \(0.520829\pi\)
\(774\) −2.08239 + 3.60681i −0.0748500 + 0.129644i
\(775\) −7.61637 23.6056i −0.273588 0.847938i
\(776\) −3.53671 + 6.12575i −0.126960 + 0.219902i
\(777\) −0.330487 1.23339i −0.0118561 0.0442477i
\(778\) −14.0071 + 14.0071i −0.502180 + 0.502180i
\(779\) −7.64483 13.7169i −0.273904 0.491459i
\(780\) −2.17696 + 1.75917i −0.0779476 + 0.0629883i
\(781\) 10.6532 + 6.15064i 0.381202 + 0.220087i
\(782\) −3.57902 + 0.958996i −0.127986 + 0.0342936i
\(783\) 1.47830 5.51711i 0.0528303 0.197165i
\(784\) 5.67029 + 3.27375i 0.202510 + 0.116919i
\(785\) 12.7406 5.65683i 0.454733 0.201901i
\(786\) −14.5180 −0.517839
\(787\) −25.2380 25.2380i −0.899639 0.899639i 0.0957652 0.995404i \(-0.469470\pi\)
−0.995404 + 0.0957652i \(0.969470\pi\)
\(788\) −4.51719 + 16.8584i −0.160918 + 0.600555i
\(789\) 6.99482 + 12.1154i 0.249022 + 0.431319i
\(790\) 15.6043 + 1.65628i 0.555176 + 0.0589278i
\(791\) 1.71062i 0.0608225i
\(792\) −0.420939 + 1.57097i −0.0149574 + 0.0558218i
\(793\) −0.269148 1.00448i −0.00955774 0.0356700i
\(794\) −16.1855 28.0341i −0.574402 0.994894i
\(795\) −2.53736 + 0.399208i −0.0899908 + 0.0141584i
\(796\) −2.72971 + 4.72800i −0.0967520 + 0.167579i
\(797\) −24.1345 24.1345i −0.854888 0.854888i 0.135842 0.990730i \(-0.456626\pi\)
−0.990730 + 0.135842i \(0.956626\pi\)
\(798\) 2.04172 + 2.10453i 0.0722763 + 0.0744996i
\(799\) 28.8881i 1.02199i
\(800\) 0.251425 + 4.99367i 0.00888922 + 0.176553i
\(801\) 0.593017 + 0.342379i 0.0209532 + 0.0120974i
\(802\) −24.2836 6.50676i −0.857483 0.229762i
\(803\) 18.8177 5.04219i 0.664062 0.177935i
\(804\) 4.14590 2.39364i 0.146215 0.0844171i
\(805\) −1.56842 + 1.26742i −0.0552797 + 0.0446707i
\(806\) 6.20943i 0.218718i
\(807\) 10.3651 + 2.77731i 0.364868 + 0.0977660i
\(808\) −9.99781 2.67890i −0.351722 0.0942435i
\(809\) 50.3589i 1.77052i −0.465092 0.885262i \(-0.653979\pi\)
0.465092 0.885262i \(-0.346021\pi\)
\(810\) −2.22358 0.236016i −0.0781285 0.00829276i
\(811\) 8.25020 4.76325i 0.289704 0.167260i −0.348105 0.937456i \(-0.613175\pi\)
0.637808 + 0.770195i \(0.279841\pi\)
\(812\) −3.71129 + 0.994438i −0.130241 + 0.0348979i
\(813\) −2.45602 0.658088i −0.0861363 0.0230802i
\(814\) 2.67360 + 1.54361i 0.0937098 + 0.0541034i
\(815\) 7.98538 10.9672i 0.279716 0.384165i
\(816\) 2.76388i 0.0967552i
\(817\) −17.4621 4.96361i −0.610922 0.173655i
\(818\) 6.94372 + 6.94372i 0.242781 + 0.242781i
\(819\) −0.421004 + 0.729200i −0.0147111 + 0.0254803i
\(820\) −1.25202 7.95779i −0.0437223 0.277898i
\(821\) 8.65698 + 14.9943i 0.302131 + 0.523306i 0.976618 0.214980i \(-0.0689688\pi\)
−0.674488 + 0.738286i \(0.735635\pi\)
\(822\) −1.54849 5.77905i −0.0540098 0.201567i
\(823\) 1.68777 6.29884i 0.0588320 0.219564i −0.930251 0.366924i \(-0.880411\pi\)
0.989083 + 0.147360i \(0.0470776\pi\)
\(824\) 15.5913i 0.543148i
\(825\) 4.41494 + 6.82908i 0.153709 + 0.237758i
\(826\) −2.16372 3.74768i −0.0752856 0.130398i
\(827\) 8.36236 31.2088i 0.290788 1.08523i −0.653717 0.756739i \(-0.726792\pi\)
0.944505 0.328496i \(-0.106542\pi\)
\(828\) 0.947951 + 0.947951i 0.0329436 + 0.0329436i
\(829\) −21.7687 −0.756059 −0.378030 0.925793i \(-0.623398\pi\)
−0.378030 + 0.925793i \(0.623398\pi\)
\(830\) 5.29756 13.7584i 0.183881 0.477560i
\(831\) 8.74505 + 5.04896i 0.303362 + 0.175146i
\(832\) 0.323965 1.20905i 0.0112315 0.0419164i
\(833\) 17.4799 4.68371i 0.605641 0.162281i
\(834\) −1.91092 1.10327i −0.0661698 0.0382032i
\(835\) −9.11057 0.967018i −0.315284 0.0334651i
\(836\) −7.08843 0.107371i −0.245158 0.00371351i
\(837\) −3.50780 + 3.50780i −0.121247 + 0.121247i
\(838\) 2.24293 + 8.37074i 0.0774808 + 0.289162i
\(839\) −5.19126 + 8.99153i −0.179222 + 0.310422i −0.941614 0.336693i \(-0.890691\pi\)
0.762392 + 0.647115i \(0.224025\pi\)
\(840\) 0.610393 + 1.37476i 0.0210605 + 0.0474338i
\(841\) −1.81192 + 3.13834i −0.0624801 + 0.108219i
\(842\) 28.8277 + 7.72437i 0.993469 + 0.266199i
\(843\) −6.12698 6.12698i −0.211024 0.211024i
\(844\) −19.3138 −0.664809
\(845\) −9.18636 + 23.8580i −0.316020 + 0.820741i
\(846\) −9.05171 + 5.22600i −0.311204 + 0.179674i
\(847\) −3.97410 + 3.97410i −0.136552 + 0.136552i
\(848\) 0.812253 0.812253i 0.0278929 0.0278929i
\(849\) −14.3871 24.9192i −0.493764 0.855224i
\(850\) 10.2508 + 9.26806i 0.351600 + 0.317892i
\(851\) 2.20382 1.27237i 0.0755458 0.0436164i
\(852\) −1.95760 7.30585i −0.0670662 0.250294i
\(853\) −6.70006 + 1.79528i −0.229406 + 0.0614691i −0.371691 0.928357i \(-0.621222\pi\)
0.142285 + 0.989826i \(0.454555\pi\)
\(854\) −0.558866 −0.0191240
\(855\) −1.36885 9.65019i −0.0468136 0.330030i
\(856\) 15.7549 0.538490
\(857\) 25.5544 6.84728i 0.872922 0.233899i 0.205571 0.978642i \(-0.434095\pi\)
0.667351 + 0.744743i \(0.267428\pi\)
\(858\) −0.526891 1.96638i −0.0179878 0.0671313i
\(859\) 5.13134 2.96258i 0.175079 0.101082i −0.409899 0.912131i \(-0.634436\pi\)
0.584979 + 0.811049i \(0.301103\pi\)
\(860\) −7.52853 5.48162i −0.256721 0.186922i
\(861\) −1.21172 2.09876i −0.0412952 0.0715254i
\(862\) −20.4333 + 20.4333i −0.695960 + 0.695960i
\(863\) −28.1433 + 28.1433i −0.958010 + 0.958010i −0.999153 0.0411431i \(-0.986900\pi\)
0.0411431 + 0.999153i \(0.486900\pi\)
\(864\) 0.866025 0.500000i 0.0294628 0.0170103i
\(865\) −50.4524 + 22.4008i −1.71543 + 0.761650i
\(866\) 18.9413 0.643652
\(867\) −6.61920 6.61920i −0.224800 0.224800i
\(868\) 3.22335 + 0.863695i 0.109408 + 0.0293157i
\(869\) −5.70669 + 9.88429i −0.193586 + 0.335301i
\(870\) 11.9188 + 4.58925i 0.404085 + 0.155590i
\(871\) −2.99613 + 5.18944i −0.101520 + 0.175838i
\(872\) 4.42720 + 16.5225i 0.149924 + 0.559524i
\(873\) 5.00166 5.00166i 0.169280 0.169280i
\(874\) −2.99809 + 5.01584i −0.101412 + 0.169663i
\(875\) 7.14559 + 2.34610i 0.241565 + 0.0793128i
\(876\) −10.3736 5.98921i −0.350492 0.202357i
\(877\) 45.3093 12.1406i 1.52999 0.409959i 0.606972 0.794723i \(-0.292384\pi\)
0.923015 + 0.384765i \(0.125717\pi\)
\(878\) −5.12711 + 19.1346i −0.173032 + 0.645763i
\(879\) 9.31112 + 5.37578i 0.314056 + 0.181320i
\(880\) −3.39381 1.30676i −0.114405 0.0440510i
\(881\) 31.7793 1.07067 0.535336 0.844639i \(-0.320185\pi\)
0.535336 + 0.844639i \(0.320185\pi\)
\(882\) −4.62977 4.62977i −0.155893 0.155893i
\(883\) 8.43214 31.4692i 0.283764 1.05902i −0.665974 0.745975i \(-0.731984\pi\)
0.949738 0.313047i \(-0.101350\pi\)
\(884\) −1.72978 2.99607i −0.0581788 0.100769i
\(885\) −1.51831 + 14.3044i −0.0510373 + 0.480838i
\(886\) 11.8891i 0.399423i
\(887\) 10.8630 40.5411i 0.364742 1.36124i −0.503027 0.864271i \(-0.667780\pi\)
0.867770 0.496967i \(-0.165553\pi\)
\(888\) −0.491292 1.83353i −0.0164867 0.0615291i
\(889\) 2.85100 + 4.93809i 0.0956196 + 0.165618i
\(890\) −0.901267 + 1.23781i −0.0302106 + 0.0414916i
\(891\) 0.813191 1.40849i 0.0272429 0.0471862i
\(892\) 5.62015 + 5.62015i 0.188176 + 0.188176i
\(893\) −31.7236 32.6995i −1.06159 1.09425i
\(894\) 6.92305i 0.231542i
\(895\) −4.06661 25.8473i −0.135932 0.863981i
\(896\) −0.582565 0.336344i −0.0194621 0.0112365i
\(897\) −1.62086 0.434309i −0.0541191 0.0145012i
\(898\) −7.15784 + 1.91794i −0.238860 + 0.0640024i
\(899\) 24.5385 14.1673i 0.818405 0.472507i
\(900\) 1.04960 4.88859i 0.0349867 0.162953i
\(901\) 3.17487i 0.105770i
\(902\) 5.65957 + 1.51648i 0.188443 + 0.0504932i
\(903\) −2.70614 0.725107i −0.0900546 0.0241301i
\(904\) 2.54295i 0.0845774i
\(905\) 2.67156 + 3.30604i 0.0888057 + 0.109896i
\(906\) 16.0595 9.27193i 0.533540 0.308039i
\(907\) −9.56406 + 2.56268i −0.317569 + 0.0850925i −0.414083 0.910239i \(-0.635898\pi\)
0.0965134 + 0.995332i \(0.469231\pi\)
\(908\) 19.2467 + 5.15713i 0.638723 + 0.171145i
\(909\) 8.96379 + 5.17525i 0.297310 + 0.171652i
\(910\) −1.52207 1.10824i −0.0504561 0.0367377i
\(911\) 17.1537i 0.568328i 0.958776 + 0.284164i \(0.0917160\pi\)
−0.958776 + 0.284164i \(0.908284\pi\)
\(912\) 3.03517 + 3.12854i 0.100505 + 0.103596i
\(913\) 7.58244 + 7.58244i 0.250942 + 0.250942i
\(914\) 9.41430 16.3061i 0.311397 0.539356i
\(915\) 1.50180 + 1.09348i 0.0496480 + 0.0361493i
\(916\) −7.85516 13.6055i −0.259542 0.449540i
\(917\) −2.52764 9.43330i −0.0834702 0.311515i
\(918\) 0.715345 2.66970i 0.0236099 0.0881134i
\(919\) 28.9351i 0.954481i −0.878773 0.477241i \(-0.841637\pi\)
0.878773 0.477241i \(-0.158363\pi\)
\(920\) −2.33158 + 1.88411i −0.0768698 + 0.0621173i
\(921\) −7.84202 13.5828i −0.258403 0.447567i
\(922\) 8.03368 29.9821i 0.264575 0.987408i
\(923\) 6.69444 + 6.69444i 0.220350 + 0.220350i
\(924\) −1.09405 −0.0359916
\(925\) −8.44771 4.32620i −0.277759 0.142245i
\(926\) −29.6617 17.1252i −0.974743 0.562768i
\(927\) −4.03532 + 15.0600i −0.132537 + 0.494636i
\(928\) −5.51711 + 1.47830i −0.181108 + 0.0485277i
\(929\) −23.5550 13.5995i −0.772815 0.446185i 0.0610631 0.998134i \(-0.480551\pi\)
−0.833878 + 0.551949i \(0.813884\pi\)
\(930\) −6.97197 8.62777i −0.228620 0.282916i
\(931\) 14.6426 24.4973i 0.479893 0.802866i
\(932\) −8.49254 + 8.49254i −0.278182 + 0.278182i
\(933\) 7.21352 + 26.9212i 0.236160 + 0.881361i
\(934\) −17.5341 + 30.3699i −0.573733 + 0.993734i
\(935\) −9.18662 + 4.07885i −0.300434 + 0.133393i
\(936\) −0.625852 + 1.08401i −0.0204566 + 0.0354319i
\(937\) 8.92723 + 2.39204i 0.291640 + 0.0781446i 0.401673 0.915783i \(-0.368429\pi\)
−0.110033 + 0.993928i \(0.535096\pi\)
\(938\) 2.27713 + 2.27713i 0.0743508 + 0.0743508i
\(939\) 27.5134 0.897867
\(940\) −9.48408 21.3606i −0.309337 0.696706i
\(941\) −16.4959 + 9.52393i −0.537752 + 0.310471i −0.744167 0.667993i \(-0.767154\pi\)
0.206415 + 0.978464i \(0.433820\pi\)
\(942\) 4.40822 4.40822i 0.143627 0.143627i
\(943\) 3.41510 3.41510i 0.111211 0.111211i
\(944\) −3.21653 5.57120i −0.104689 0.181327i
\(945\) −0.233780 1.48590i −0.00760485 0.0483363i
\(946\) 5.86605 3.38676i 0.190722 0.110113i
\(947\) −12.3132 45.9535i −0.400125 1.49329i −0.812873 0.582441i \(-0.802098\pi\)
0.412748 0.910845i \(-0.364569\pi\)
\(948\) 6.77853 1.81630i 0.220156 0.0589907i
\(949\) 14.9935 0.486708
\(950\) 21.7810 0.766136i 0.706670 0.0248567i
\(951\) −8.95311 −0.290325
\(952\) −1.79588 + 0.481204i −0.0582048 + 0.0155959i
\(953\) 0.864885 + 3.22780i 0.0280164 + 0.104559i 0.978518 0.206160i \(-0.0660969\pi\)
−0.950502 + 0.310719i \(0.899430\pi\)
\(954\) −0.994803 + 0.574350i −0.0322079 + 0.0185953i
\(955\) 1.54545 + 9.82284i 0.0500095 + 0.317860i
\(956\) −1.81412 3.14214i −0.0586727 0.101624i
\(957\) −6.56864 + 6.56864i −0.212334 + 0.212334i
\(958\) 2.83175 2.83175i 0.0914896 0.0914896i
\(959\) 3.48544 2.01232i 0.112551 0.0649811i
\(960\) 0.907393 + 2.04368i 0.0292860 + 0.0659596i
\(961\) 6.39065 0.206150
\(962\) 1.68008 + 1.68008i 0.0541680 + 0.0541680i
\(963\) −15.2180 4.07766i −0.490394 0.131401i
\(964\) −12.9487 + 22.4277i −0.417048 + 0.722348i
\(965\) −13.2424 + 5.87963i −0.426289 + 0.189272i
\(966\) −0.450905 + 0.780991i −0.0145076 + 0.0251280i
\(967\) 0.358700 + 1.33869i 0.0115350 + 0.0430493i 0.971453 0.237230i \(-0.0762395\pi\)
−0.959918 + 0.280279i \(0.909573\pi\)
\(968\) −5.90779 + 5.90779i −0.189884 + 0.189884i
\(969\) 12.0461 + 0.182467i 0.386976 + 0.00586169i
\(970\) 9.94110 + 12.3020i 0.319190 + 0.394995i
\(971\) −36.2221 20.9128i −1.16242 0.671125i −0.210539 0.977585i \(-0.567522\pi\)
−0.951883 + 0.306461i \(0.900855\pi\)
\(972\) −0.965926 + 0.258819i −0.0309821 + 0.00830162i
\(973\) 0.384169 1.43374i 0.0123159 0.0459636i
\(974\) 7.73399 + 4.46522i 0.247813 + 0.143075i
\(975\) 1.92176 + 5.95617i 0.0615456 + 0.190750i
\(976\) −0.830795 −0.0265931
\(977\) −2.71196 2.71196i −0.0867634 0.0867634i 0.662393 0.749156i \(-0.269541\pi\)
−0.749156 + 0.662393i \(0.769541\pi\)
\(978\) 1.57027 5.86034i 0.0502118 0.187393i
\(979\) −0.556839 0.964473i −0.0177967 0.0308247i
\(980\) 11.3874 9.20196i 0.363756 0.293946i
\(981\) 17.1054i 0.546133i
\(982\) −8.24886 + 30.7852i −0.263232 + 0.982394i
\(983\) −9.47894 35.3759i −0.302331 1.12832i −0.935218 0.354072i \(-0.884797\pi\)
0.632887 0.774244i \(-0.281870\pi\)
\(984\) −1.80130 3.11995i −0.0574235 0.0994604i
\(985\) 31.5493 + 22.9715i 1.00525 + 0.731932i
\(986\) −7.89327 + 13.6715i −0.251373 + 0.435391i
\(987\) −4.97163 4.97163i −0.158249 0.158249i
\(988\) −5.24815 1.49179i −0.166966 0.0474601i
\(989\) 5.58333i 0.177540i
\(990\) 2.93996 + 2.14062i 0.0934380 + 0.0680334i
\(991\) −13.3849 7.72776i −0.425185 0.245480i 0.272109 0.962267i \(-0.412279\pi\)
−0.697293 + 0.716786i \(0.745612\pi\)
\(992\) 4.79175 + 1.28394i 0.152138 + 0.0407653i
\(993\) −11.4953 + 3.08016i −0.364793 + 0.0977459i
\(994\) 4.40628 2.54397i 0.139759 0.0806897i
\(995\) 7.67277 + 9.49500i 0.243243 + 0.301012i
\(996\) 6.59328i 0.208916i
\(997\) 30.8494 + 8.26607i 0.977010 + 0.261789i 0.711785 0.702397i \(-0.247887\pi\)
0.265225 + 0.964186i \(0.414554\pi\)
\(998\) 34.1579 + 9.15258i 1.08125 + 0.289720i
\(999\) 1.89821i 0.0600566i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 570.2.x.a.103.9 40
5.2 odd 4 inner 570.2.x.a.217.10 yes 40
19.12 odd 6 inner 570.2.x.a.373.10 yes 40
95.12 even 12 inner 570.2.x.a.487.9 yes 40
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.x.a.103.9 40 1.1 even 1 trivial
570.2.x.a.217.10 yes 40 5.2 odd 4 inner
570.2.x.a.373.10 yes 40 19.12 odd 6 inner
570.2.x.a.487.9 yes 40 95.12 even 12 inner