Properties

Label 770.2.w.b.139.18
Level $770$
Weight $2$
Character 770.139
Analytic conductor $6.148$
Analytic rank $0$
Dimension $96$
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] = [770,2,Mod(139,770)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(770, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 7]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("770.139");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.w (of order \(10\), 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: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(24\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 139.18
Character \(\chi\) \(=\) 770.139
Dual form 770.2.w.b.349.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.809017 + 0.587785i) q^{2} +(0.463552 - 1.42667i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.665551 - 2.13472i) q^{5} +(1.21359 - 0.881728i) q^{6} +(1.05163 + 2.42777i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(0.606556 + 0.440689i) q^{9} +O(q^{10})\) \(q+(0.809017 + 0.587785i) q^{2} +(0.463552 - 1.42667i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.665551 - 2.13472i) q^{5} +(1.21359 - 0.881728i) q^{6} +(1.05163 + 2.42777i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(0.606556 + 0.440689i) q^{9} +(1.79320 - 1.33583i) q^{10} +(3.30041 - 0.327560i) q^{11} +1.50009 q^{12} +(-0.191420 + 0.263467i) q^{13} +(-0.576225 + 2.58224i) q^{14} +(-2.73702 - 1.93907i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.316463 - 0.435574i) q^{17} +(0.231684 + 0.713050i) q^{18} +(-0.758164 + 2.33339i) q^{19} +(2.23591 - 0.0266895i) q^{20} +(3.95110 - 0.374922i) q^{21} +(2.86262 + 1.67493i) q^{22} -4.70703i q^{23} +(1.21359 + 0.881728i) q^{24} +(-4.11408 - 2.84153i) q^{25} +(-0.309724 + 0.100636i) q^{26} +(4.55067 - 3.30625i) q^{27} +(-1.98398 + 1.75038i) q^{28} +(-2.28218 + 0.741525i) q^{29} +(-1.07454 - 3.17752i) q^{30} +(-0.248208 + 0.341629i) q^{31} -1.00000 q^{32} +(1.06259 - 4.86042i) q^{33} -0.538400i q^{34} +(5.88253 - 0.629126i) q^{35} +(-0.231684 + 0.713050i) q^{36} +(3.07763 - 0.999984i) q^{37} +(-1.98490 + 1.44211i) q^{38} +(0.287147 + 0.395224i) q^{39} +(1.82458 + 1.29264i) q^{40} +(-1.25713 + 3.86905i) q^{41} +(3.41688 + 2.01908i) q^{42} -0.787474 q^{43} +(1.33141 + 3.03765i) q^{44} +(1.34444 - 1.00153i) q^{45} +(2.76672 - 3.80807i) q^{46} +(1.98291 - 6.10277i) q^{47} +(0.463552 + 1.42667i) q^{48} +(-4.78816 + 5.10622i) q^{49} +(-1.65815 - 4.71705i) q^{50} +(-0.768116 + 0.249576i) q^{51} +(-0.309724 - 0.100636i) q^{52} +(5.90889 - 8.13289i) q^{53} +5.62494 q^{54} +(1.49734 - 7.26347i) q^{55} +(-2.63392 + 0.249934i) q^{56} +(2.97752 + 2.16329i) q^{57} +(-2.28218 - 0.741525i) q^{58} +(-3.34774 + 1.08775i) q^{59} +(0.998383 - 3.20227i) q^{60} +(-2.60559 + 1.89307i) q^{61} +(-0.401609 + 0.130491i) q^{62} +(-0.432022 + 1.93602i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(0.435030 + 0.583980i) q^{65} +(3.71654 - 3.30759i) q^{66} +3.10205i q^{67} +(0.316463 - 0.435574i) q^{68} +(-6.71536 - 2.18195i) q^{69} +(5.12886 + 2.94869i) q^{70} +(-4.55615 + 3.31024i) q^{71} +(-0.606556 + 0.440689i) q^{72} +(-13.4882 + 4.38258i) q^{73} +(3.07763 + 0.999984i) q^{74} +(-5.96101 + 4.55223i) q^{75} -2.45347 q^{76} +(4.26604 + 7.66817i) q^{77} +0.488523i q^{78} +(0.136261 - 0.187547i) q^{79} +(0.716317 + 2.11823i) q^{80} +(-1.91240 - 5.88575i) q^{81} +(-3.29121 + 2.39121i) q^{82} +(-6.56779 - 9.03978i) q^{83} +(1.57753 + 3.64187i) q^{84} +(-1.14045 + 0.385665i) q^{85} +(-0.637080 - 0.462866i) q^{86} +3.59964i q^{87} +(-0.708354 + 3.24010i) q^{88} +9.96145i q^{89} +(1.67636 - 0.0200103i) q^{90} +(-0.840942 - 0.187656i) q^{91} +(4.47665 - 1.45455i) q^{92} +(0.372333 + 0.512472i) q^{93} +(5.19133 - 3.77172i) q^{94} +(4.47654 + 3.17146i) q^{95} +(-0.463552 + 1.42667i) q^{96} +(-9.86605 - 7.16810i) q^{97} +(-6.87507 + 1.31661i) q^{98} +(2.14624 + 1.25577i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} + 28 q^{18} - 4 q^{22} + 38 q^{25} - 2 q^{28} + 6 q^{30} - 96 q^{32} + 46 q^{35} - 28 q^{36} + 10 q^{39} - 24 q^{43} - 16 q^{44} + 37 q^{49} - 8 q^{50} - 30 q^{51} + 40 q^{53} + 2 q^{56} - 20 q^{57} + 14 q^{60} + 63 q^{63} - 24 q^{64} - 40 q^{65} + 39 q^{70} - 20 q^{71} + 18 q^{72} - 16 q^{77} - 126 q^{81} + 60 q^{85} - 36 q^{86} - 14 q^{88} - 31 q^{91} - 10 q^{92} + 20 q^{93} - 44 q^{95} + 18 q^{98} + 100 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809017 + 0.587785i 0.572061 + 0.415627i
\(3\) 0.463552 1.42667i 0.267632 0.823686i −0.723444 0.690383i \(-0.757442\pi\)
0.991075 0.133302i \(-0.0425582\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) 0.665551 2.13472i 0.297643 0.954677i
\(6\) 1.21359 0.881728i 0.495448 0.359964i
\(7\) 1.05163 + 2.42777i 0.397478 + 0.917612i
\(8\) −0.309017 + 0.951057i −0.109254 + 0.336249i
\(9\) 0.606556 + 0.440689i 0.202185 + 0.146896i
\(10\) 1.79320 1.33583i 0.567060 0.422425i
\(11\) 3.30041 0.327560i 0.995111 0.0987632i
\(12\) 1.50009 0.433037
\(13\) −0.191420 + 0.263467i −0.0530904 + 0.0730727i −0.834737 0.550649i \(-0.814380\pi\)
0.781646 + 0.623722i \(0.214380\pi\)
\(14\) −0.576225 + 2.58224i −0.154003 + 0.690133i
\(15\) −2.73702 1.93907i −0.706695 0.500666i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) −0.316463 0.435574i −0.0767536 0.105642i 0.768914 0.639352i \(-0.220797\pi\)
−0.845668 + 0.533710i \(0.820797\pi\)
\(18\) 0.231684 + 0.713050i 0.0546084 + 0.168067i
\(19\) −0.758164 + 2.33339i −0.173935 + 0.535316i −0.999583 0.0288690i \(-0.990809\pi\)
0.825649 + 0.564185i \(0.190809\pi\)
\(20\) 2.23591 0.0266895i 0.499964 0.00596795i
\(21\) 3.95110 0.374922i 0.862202 0.0818146i
\(22\) 2.86262 + 1.67493i 0.610313 + 0.357096i
\(23\) 4.70703i 0.981484i −0.871305 0.490742i \(-0.836726\pi\)
0.871305 0.490742i \(-0.163274\pi\)
\(24\) 1.21359 + 0.881728i 0.247724 + 0.179982i
\(25\) −4.11408 2.84153i −0.822817 0.568306i
\(26\) −0.309724 + 0.100636i −0.0607420 + 0.0197363i
\(27\) 4.55067 3.30625i 0.875777 0.636289i
\(28\) −1.98398 + 1.75038i −0.374937 + 0.330791i
\(29\) −2.28218 + 0.741525i −0.423790 + 0.137698i −0.513145 0.858302i \(-0.671520\pi\)
0.0893546 + 0.996000i \(0.471520\pi\)
\(30\) −1.07454 3.17752i −0.196183 0.580134i
\(31\) −0.248208 + 0.341629i −0.0445795 + 0.0613584i −0.830725 0.556683i \(-0.812074\pi\)
0.786145 + 0.618042i \(0.212074\pi\)
\(32\) −1.00000 −0.176777
\(33\) 1.06259 4.86042i 0.184973 0.846091i
\(34\) 0.538400i 0.0923348i
\(35\) 5.88253 0.629126i 0.994330 0.106342i
\(36\) −0.231684 + 0.713050i −0.0386140 + 0.118842i
\(37\) 3.07763 0.999984i 0.505960 0.164396i −0.0449041 0.998991i \(-0.514298\pi\)
0.550864 + 0.834595i \(0.314298\pi\)
\(38\) −1.98490 + 1.44211i −0.321993 + 0.233942i
\(39\) 0.287147 + 0.395224i 0.0459803 + 0.0632864i
\(40\) 1.82458 + 1.29264i 0.288491 + 0.204385i
\(41\) −1.25713 + 3.86905i −0.196331 + 0.604244i 0.803628 + 0.595133i \(0.202900\pi\)
−0.999958 + 0.00911194i \(0.997100\pi\)
\(42\) 3.41688 + 2.01908i 0.527237 + 0.311551i
\(43\) −0.787474 −0.120089 −0.0600444 0.998196i \(-0.519124\pi\)
−0.0600444 + 0.998196i \(0.519124\pi\)
\(44\) 1.33141 + 3.03765i 0.200718 + 0.457944i
\(45\) 1.34444 1.00153i 0.200418 0.149299i
\(46\) 2.76672 3.80807i 0.407931 0.561469i
\(47\) 1.98291 6.10277i 0.289237 0.890181i −0.695859 0.718178i \(-0.744976\pi\)
0.985097 0.172002i \(-0.0550237\pi\)
\(48\) 0.463552 + 1.42667i 0.0669079 + 0.205921i
\(49\) −4.78816 + 5.10622i −0.684023 + 0.729460i
\(50\) −1.65815 4.71705i −0.234498 0.667091i
\(51\) −0.768116 + 0.249576i −0.107558 + 0.0349476i
\(52\) −0.309724 0.100636i −0.0429511 0.0139556i
\(53\) 5.90889 8.13289i 0.811648 1.11714i −0.179419 0.983773i \(-0.557422\pi\)
0.991067 0.133365i \(-0.0425783\pi\)
\(54\) 5.62494 0.765457
\(55\) 1.49734 7.26347i 0.201901 0.979406i
\(56\) −2.63392 + 0.249934i −0.351972 + 0.0333988i
\(57\) 2.97752 + 2.16329i 0.394382 + 0.286535i
\(58\) −2.28218 0.741525i −0.299665 0.0973670i
\(59\) −3.34774 + 1.08775i −0.435839 + 0.141613i −0.518715 0.854947i \(-0.673589\pi\)
0.0828760 + 0.996560i \(0.473589\pi\)
\(60\) 0.998383 3.20227i 0.128891 0.413411i
\(61\) −2.60559 + 1.89307i −0.333612 + 0.242383i −0.741962 0.670442i \(-0.766104\pi\)
0.408350 + 0.912825i \(0.366104\pi\)
\(62\) −0.401609 + 0.130491i −0.0510044 + 0.0165723i
\(63\) −0.432022 + 1.93602i −0.0544296 + 0.243916i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 0.435030 + 0.583980i 0.0539588 + 0.0724338i
\(66\) 3.71654 3.30759i 0.457474 0.407136i
\(67\) 3.10205i 0.378976i 0.981883 + 0.189488i \(0.0606828\pi\)
−0.981883 + 0.189488i \(0.939317\pi\)
\(68\) 0.316463 0.435574i 0.0383768 0.0528212i
\(69\) −6.71536 2.18195i −0.808435 0.262676i
\(70\) 5.12886 + 2.94869i 0.613016 + 0.352436i
\(71\) −4.55615 + 3.31024i −0.540716 + 0.392853i −0.824351 0.566079i \(-0.808460\pi\)
0.283635 + 0.958932i \(0.408460\pi\)
\(72\) −0.606556 + 0.440689i −0.0714833 + 0.0519357i
\(73\) −13.4882 + 4.38258i −1.57867 + 0.512942i −0.961714 0.274053i \(-0.911635\pi\)
−0.616959 + 0.786995i \(0.711635\pi\)
\(74\) 3.07763 + 0.999984i 0.357768 + 0.116246i
\(75\) −5.96101 + 4.55223i −0.688318 + 0.525646i
\(76\) −2.45347 −0.281432
\(77\) 4.26604 + 7.66817i 0.486161 + 0.873869i
\(78\) 0.488523i 0.0553144i
\(79\) 0.136261 0.187547i 0.0153305 0.0211007i −0.801283 0.598286i \(-0.795849\pi\)
0.816613 + 0.577185i \(0.195849\pi\)
\(80\) 0.716317 + 2.11823i 0.0800867 + 0.236825i
\(81\) −1.91240 5.88575i −0.212489 0.653973i
\(82\) −3.29121 + 2.39121i −0.363454 + 0.264065i
\(83\) −6.56779 9.03978i −0.720908 0.992245i −0.999493 0.0318335i \(-0.989865\pi\)
0.278585 0.960412i \(-0.410135\pi\)
\(84\) 1.57753 + 3.64187i 0.172123 + 0.397360i
\(85\) −1.14045 + 0.385665i −0.123700 + 0.0418312i
\(86\) −0.637080 0.462866i −0.0686981 0.0499121i
\(87\) 3.59964i 0.385922i
\(88\) −0.708354 + 3.24010i −0.0755108 + 0.345396i
\(89\) 9.96145i 1.05591i 0.849272 + 0.527956i \(0.177041\pi\)
−0.849272 + 0.527956i \(0.822959\pi\)
\(90\) 1.67636 0.0200103i 0.176704 0.00210927i
\(91\) −0.840942 0.187656i −0.0881546 0.0196716i
\(92\) 4.47665 1.45455i 0.466723 0.151648i
\(93\) 0.372333 + 0.512472i 0.0386091 + 0.0531409i
\(94\) 5.19133 3.77172i 0.535444 0.389023i
\(95\) 4.47654 + 3.17146i 0.459283 + 0.325385i
\(96\) −0.463552 + 1.42667i −0.0473111 + 0.145608i
\(97\) −9.86605 7.16810i −1.00175 0.727811i −0.0392836 0.999228i \(-0.512508\pi\)
−0.962462 + 0.271418i \(0.912508\pi\)
\(98\) −6.87507 + 1.31661i −0.694487 + 0.132998i
\(99\) 2.14624 + 1.25577i 0.215705 + 0.126210i
\(100\) 1.43114 4.79081i 0.143114 0.479081i
\(101\) 13.2251 + 9.60858i 1.31594 + 0.956090i 0.999973 + 0.00732117i \(0.00233042\pi\)
0.315972 + 0.948769i \(0.397670\pi\)
\(102\) −0.768116 0.249576i −0.0760548 0.0247117i
\(103\) 3.86155 + 11.8846i 0.380490 + 1.17103i 0.939699 + 0.342002i \(0.111105\pi\)
−0.559209 + 0.829026i \(0.688895\pi\)
\(104\) −0.191420 0.263467i −0.0187703 0.0258351i
\(105\) 1.82931 8.68404i 0.178522 0.847476i
\(106\) 9.56078 3.10649i 0.928625 0.301729i
\(107\) −1.00057 + 3.07944i −0.0967288 + 0.297701i −0.987700 0.156358i \(-0.950024\pi\)
0.890972 + 0.454059i \(0.150024\pi\)
\(108\) 4.55067 + 3.30625i 0.437888 + 0.318144i
\(109\) 18.1305i 1.73659i 0.496052 + 0.868293i \(0.334783\pi\)
−0.496052 + 0.868293i \(0.665217\pi\)
\(110\) 5.48073 4.99616i 0.522567 0.476365i
\(111\) 4.85430i 0.460750i
\(112\) −2.27779 1.34598i −0.215231 0.127183i
\(113\) −7.95856 2.58589i −0.748679 0.243260i −0.0902662 0.995918i \(-0.528772\pi\)
−0.658413 + 0.752657i \(0.728772\pi\)
\(114\) 1.13731 + 3.50028i 0.106519 + 0.327831i
\(115\) −10.0482 3.13277i −0.937000 0.292132i
\(116\) −1.41046 1.94134i −0.130958 0.180249i
\(117\) −0.232214 + 0.0754510i −0.0214682 + 0.00697545i
\(118\) −3.34774 1.08775i −0.308185 0.100135i
\(119\) 0.724674 1.22636i 0.0664308 0.112420i
\(120\) 2.68995 2.00385i 0.245558 0.182926i
\(121\) 10.7854 2.16217i 0.980492 0.196561i
\(122\) −3.22069 −0.291587
\(123\) 4.93710 + 3.58701i 0.445163 + 0.323430i
\(124\) −0.401609 0.130491i −0.0360655 0.0117184i
\(125\) −8.80402 + 6.89125i −0.787455 + 0.616372i
\(126\) −1.48748 + 1.31234i −0.132515 + 0.116912i
\(127\) −9.69463 + 7.04356i −0.860260 + 0.625015i −0.927956 0.372691i \(-0.878435\pi\)
0.0676959 + 0.997706i \(0.478435\pi\)
\(128\) −0.309017 0.951057i −0.0273135 0.0840623i
\(129\) −0.365035 + 1.12346i −0.0321395 + 0.0989154i
\(130\) 0.00869179 + 0.728154i 0.000762320 + 0.0638633i
\(131\) −10.1962 −0.890848 −0.445424 0.895320i \(-0.646947\pi\)
−0.445424 + 0.895320i \(0.646947\pi\)
\(132\) 4.95090 0.491368i 0.430920 0.0427681i
\(133\) −6.46224 + 0.613204i −0.560347 + 0.0531715i
\(134\) −1.82334 + 2.50961i −0.157513 + 0.216797i
\(135\) −4.02924 11.9149i −0.346782 1.02547i
\(136\) 0.512048 0.166375i 0.0439078 0.0142665i
\(137\) −5.32725 7.33233i −0.455138 0.626443i 0.518354 0.855166i \(-0.326545\pi\)
−0.973492 + 0.228723i \(0.926545\pi\)
\(138\) −4.15032 5.71243i −0.353299 0.486274i
\(139\) −6.56257 20.1975i −0.556630 1.71313i −0.691599 0.722282i \(-0.743093\pi\)
0.134969 0.990850i \(-0.456907\pi\)
\(140\) 2.41614 + 5.40021i 0.204201 + 0.456401i
\(141\) −7.78743 5.65790i −0.655820 0.476481i
\(142\) −5.63171 −0.472603
\(143\) −0.545464 + 0.932252i −0.0456140 + 0.0779588i
\(144\) −0.749745 −0.0624787
\(145\) 0.0640447 + 5.36534i 0.00531862 + 0.445567i
\(146\) −13.4882 4.38258i −1.11629 0.362705i
\(147\) 5.06531 + 9.19810i 0.417780 + 0.758647i
\(148\) 1.90208 + 2.61799i 0.156350 + 0.215198i
\(149\) 5.72621 + 7.88145i 0.469109 + 0.645673i 0.976367 0.216121i \(-0.0693406\pi\)
−0.507257 + 0.861795i \(0.669341\pi\)
\(150\) −7.49829 + 0.179036i −0.612233 + 0.0146182i
\(151\) −5.36781 1.74411i −0.436826 0.141933i 0.0823448 0.996604i \(-0.473759\pi\)
−0.519171 + 0.854671i \(0.673759\pi\)
\(152\) −1.98490 1.44211i −0.160996 0.116971i
\(153\) 0.403662i 0.0326342i
\(154\) −1.05594 + 8.71120i −0.0850900 + 0.701968i
\(155\) 0.564088 + 0.757226i 0.0453086 + 0.0608219i
\(156\) −0.287147 + 0.395224i −0.0229901 + 0.0316432i
\(157\) −5.92810 + 18.2448i −0.473114 + 1.45610i 0.375370 + 0.926875i \(0.377516\pi\)
−0.848484 + 0.529221i \(0.822484\pi\)
\(158\) 0.220474 0.0716365i 0.0175400 0.00569909i
\(159\) −8.86383 12.2000i −0.702948 0.967525i
\(160\) −0.665551 + 2.13472i −0.0526164 + 0.168765i
\(161\) 11.4276 4.95004i 0.900622 0.390118i
\(162\) 1.91240 5.88575i 0.150252 0.462429i
\(163\) 6.31611 8.69338i 0.494716 0.680918i −0.486533 0.873662i \(-0.661739\pi\)
0.981249 + 0.192744i \(0.0617387\pi\)
\(164\) −4.06816 −0.317670
\(165\) −9.66845 5.50320i −0.752688 0.428423i
\(166\) 11.1738i 0.867254i
\(167\) 4.64921 6.39909i 0.359767 0.495177i −0.590317 0.807172i \(-0.700997\pi\)
0.950084 + 0.311995i \(0.100997\pi\)
\(168\) −0.864387 + 3.87358i −0.0666889 + 0.298853i
\(169\) 3.98445 + 12.2629i 0.306496 + 0.943298i
\(170\) −1.14933 0.358332i −0.0881499 0.0274828i
\(171\) −1.48817 + 1.08122i −0.113803 + 0.0826827i
\(172\) −0.243343 0.748933i −0.0185547 0.0571056i
\(173\) 18.8572 + 6.12709i 1.43369 + 0.465834i 0.919924 0.392097i \(-0.128250\pi\)
0.513766 + 0.857931i \(0.328250\pi\)
\(174\) −2.11582 + 2.91217i −0.160400 + 0.220771i
\(175\) 2.57211 12.9763i 0.194433 0.980916i
\(176\) −2.47755 + 2.20493i −0.186753 + 0.166203i
\(177\) 5.28034i 0.396895i
\(178\) −5.85519 + 8.05898i −0.438865 + 0.604046i
\(179\) −3.44282 + 10.5959i −0.257329 + 0.791977i 0.736033 + 0.676946i \(0.236697\pi\)
−0.993362 + 0.115031i \(0.963303\pi\)
\(180\) 1.36797 + 0.969152i 0.101962 + 0.0722363i
\(181\) −10.0233 13.7959i −0.745028 1.02544i −0.998314 0.0580511i \(-0.981511\pi\)
0.253286 0.967391i \(-0.418489\pi\)
\(182\) −0.570035 0.646110i −0.0422538 0.0478928i
\(183\) 1.49296 + 4.59484i 0.110362 + 0.339661i
\(184\) 4.47665 + 1.45455i 0.330023 + 0.107231i
\(185\) −0.0863676 7.23544i −0.00634987 0.531960i
\(186\) 0.633451i 0.0464469i
\(187\) −1.18714 1.33391i −0.0868119 0.0975454i
\(188\) 6.41683 0.467996
\(189\) 12.8124 + 7.57104i 0.931968 + 0.550712i
\(190\) 1.75746 + 5.19701i 0.127500 + 0.377030i
\(191\) −5.55713 17.1031i −0.402100 1.23754i −0.923293 0.384097i \(-0.874513\pi\)
0.521193 0.853439i \(-0.325487\pi\)
\(192\) −1.21359 + 0.881728i −0.0875836 + 0.0636332i
\(193\) 9.96613 7.24082i 0.717378 0.521205i −0.168168 0.985758i \(-0.553785\pi\)
0.885545 + 0.464553i \(0.153785\pi\)
\(194\) −3.76849 11.5982i −0.270562 0.832705i
\(195\) 1.03480 0.349937i 0.0741038 0.0250595i
\(196\) −6.33593 2.97590i −0.452566 0.212565i
\(197\) 0.206405 0.0147057 0.00735287 0.999973i \(-0.497659\pi\)
0.00735287 + 0.999973i \(0.497659\pi\)
\(198\) 0.998219 + 2.27747i 0.0709403 + 0.161852i
\(199\) 22.2925i 1.58028i −0.612929 0.790138i \(-0.710009\pi\)
0.612929 0.790138i \(-0.289991\pi\)
\(200\) 3.97378 3.03465i 0.280989 0.214582i
\(201\) 4.42559 + 1.43796i 0.312157 + 0.101426i
\(202\) 5.05153 + 15.5470i 0.355425 + 1.09388i
\(203\) −4.20026 4.76080i −0.294800 0.334143i
\(204\) −0.474722 0.653399i −0.0332372 0.0457471i
\(205\) 7.42267 + 5.25868i 0.518422 + 0.367282i
\(206\) −3.86155 + 11.8846i −0.269047 + 0.828042i
\(207\) 2.07434 2.85508i 0.144176 0.198442i
\(208\) 0.325664i 0.0225807i
\(209\) −1.73793 + 7.94948i −0.120215 + 0.549877i
\(210\) 6.58429 5.95030i 0.454359 0.410610i
\(211\) −2.55703 + 3.51945i −0.176033 + 0.242289i −0.887912 0.460013i \(-0.847845\pi\)
0.711879 + 0.702302i \(0.247845\pi\)
\(212\) 9.56078 + 3.10649i 0.656637 + 0.213354i
\(213\) 2.61059 + 8.03457i 0.178875 + 0.550520i
\(214\) −2.61953 + 1.90320i −0.179067 + 0.130100i
\(215\) −0.524104 + 1.68104i −0.0357436 + 0.114646i
\(216\) 1.73820 + 5.34963i 0.118270 + 0.363996i
\(217\) −1.09042 0.243326i −0.0740225 0.0165181i
\(218\) −10.6568 + 14.6679i −0.721772 + 0.993434i
\(219\) 21.2747i 1.43761i
\(220\) 7.37067 0.820481i 0.496931 0.0553168i
\(221\) 0.175337 0.0117945
\(222\) 2.85329 3.92721i 0.191500 0.263577i
\(223\) 4.73537 14.5740i 0.317104 0.975944i −0.657776 0.753213i \(-0.728503\pi\)
0.974880 0.222731i \(-0.0714972\pi\)
\(224\) −1.05163 2.42777i −0.0702648 0.162212i
\(225\) −1.24319 3.53658i −0.0828795 0.235772i
\(226\) −4.91866 6.76996i −0.327185 0.450331i
\(227\) −21.9096 + 7.11887i −1.45419 + 0.472496i −0.926291 0.376810i \(-0.877021\pi\)
−0.527902 + 0.849305i \(0.677021\pi\)
\(228\) −1.13731 + 3.50028i −0.0753202 + 0.231812i
\(229\) −9.19600 + 12.6572i −0.607688 + 0.836411i −0.996385 0.0849545i \(-0.972926\pi\)
0.388696 + 0.921366i \(0.372926\pi\)
\(230\) −6.28778 8.44065i −0.414604 0.556560i
\(231\) 12.9175 2.53162i 0.849906 0.166568i
\(232\) 2.39963i 0.157543i
\(233\) 0.682122 + 0.495591i 0.0446873 + 0.0324672i 0.609905 0.792475i \(-0.291208\pi\)
−0.565217 + 0.824942i \(0.691208\pi\)
\(234\) −0.232214 0.0754510i −0.0151803 0.00493239i
\(235\) −11.7080 8.29467i −0.763746 0.541084i
\(236\) −2.06902 2.84776i −0.134682 0.185373i
\(237\) −0.204403 0.281336i −0.0132774 0.0182747i
\(238\) 1.30711 0.566195i 0.0847275 0.0367010i
\(239\) 7.92025 + 2.57344i 0.512318 + 0.166462i 0.553756 0.832679i \(-0.313194\pi\)
−0.0414381 + 0.999141i \(0.513194\pi\)
\(240\) 3.35405 0.0400365i 0.216503 0.00258434i
\(241\) 14.2248 0.916298 0.458149 0.888875i \(-0.348513\pi\)
0.458149 + 0.888875i \(0.348513\pi\)
\(242\) 9.99647 + 4.59027i 0.642597 + 0.295074i
\(243\) 7.59131 0.486983
\(244\) −2.60559 1.89307i −0.166806 0.121192i
\(245\) 7.71361 + 13.6198i 0.492804 + 0.870140i
\(246\) 1.88580 + 5.80391i 0.120234 + 0.370044i
\(247\) −0.469644 0.646409i −0.0298827 0.0411300i
\(248\) −0.248208 0.341629i −0.0157612 0.0216935i
\(249\) −15.9413 + 5.17963i −1.01024 + 0.328246i
\(250\) −11.1732 + 0.400266i −0.706653 + 0.0253150i
\(251\) −5.64976 + 7.77623i −0.356610 + 0.490831i −0.949200 0.314673i \(-0.898105\pi\)
0.592591 + 0.805504i \(0.298105\pi\)
\(252\) −1.97477 + 0.187386i −0.124399 + 0.0118042i
\(253\) −1.54184 15.5351i −0.0969345 0.976686i
\(254\) −11.9832 −0.751895
\(255\) 0.0215556 + 1.80582i 0.00134987 + 0.113085i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 4.72111 + 14.5301i 0.294495 + 0.906362i 0.983391 + 0.181502i \(0.0580957\pi\)
−0.688896 + 0.724860i \(0.741904\pi\)
\(258\) −0.955674 + 0.694338i −0.0594977 + 0.0432276i
\(259\) 5.66426 + 6.42019i 0.351960 + 0.398931i
\(260\) −0.420966 + 0.594198i −0.0261072 + 0.0368506i
\(261\) −1.71105 0.555954i −0.105911 0.0344127i
\(262\) −8.24892 5.99319i −0.509620 0.370260i
\(263\) −1.40139 −0.0864132 −0.0432066 0.999066i \(-0.513757\pi\)
−0.0432066 + 0.999066i \(0.513757\pi\)
\(264\) 4.29418 + 2.51254i 0.264288 + 0.154636i
\(265\) −13.4288 18.0267i −0.824924 1.10737i
\(266\) −5.58849 3.30232i −0.342653 0.202478i
\(267\) 14.2117 + 4.61765i 0.869739 + 0.282595i
\(268\) −2.95023 + 0.958586i −0.180214 + 0.0585550i
\(269\) 7.05324 + 9.70795i 0.430043 + 0.591904i 0.967963 0.251092i \(-0.0807897\pi\)
−0.537920 + 0.842996i \(0.680790\pi\)
\(270\) 3.74368 12.0077i 0.227833 0.730764i
\(271\) −7.70500 23.7135i −0.468045 1.44050i −0.855112 0.518444i \(-0.826512\pi\)
0.387066 0.922052i \(-0.373488\pi\)
\(272\) 0.512048 + 0.166375i 0.0310475 + 0.0100879i
\(273\) −0.657542 + 1.11275i −0.0397962 + 0.0673470i
\(274\) 9.06326i 0.547531i
\(275\) −14.5089 8.03061i −0.874922 0.484264i
\(276\) 7.06095i 0.425019i
\(277\) −6.22158 4.52024i −0.373818 0.271595i 0.384974 0.922927i \(-0.374210\pi\)
−0.758793 + 0.651332i \(0.774210\pi\)
\(278\) 6.56257 20.1975i 0.393597 1.21137i
\(279\) −0.301104 + 0.0978346i −0.0180266 + 0.00585721i
\(280\) −1.21947 + 5.78903i −0.0728772 + 0.345961i
\(281\) −7.30485 10.0543i −0.435771 0.599787i 0.533495 0.845803i \(-0.320878\pi\)
−0.969266 + 0.246016i \(0.920878\pi\)
\(282\) −2.97453 9.15467i −0.177131 0.545153i
\(283\) 21.3217 + 6.92784i 1.26744 + 0.411817i 0.864141 0.503250i \(-0.167862\pi\)
0.403302 + 0.915067i \(0.367862\pi\)
\(284\) −4.55615 3.31024i −0.270358 0.196426i
\(285\) 6.59972 4.91639i 0.390933 0.291222i
\(286\) −0.989253 + 0.433592i −0.0584958 + 0.0256388i
\(287\) −10.7152 + 1.01677i −0.632499 + 0.0600181i
\(288\) −0.606556 0.440689i −0.0357417 0.0259678i
\(289\) 5.16371 15.8923i 0.303748 0.934840i
\(290\) −3.10186 + 4.37830i −0.182147 + 0.257103i
\(291\) −14.7999 + 10.7528i −0.867586 + 0.630338i
\(292\) −8.33616 11.4737i −0.487837 0.671450i
\(293\) −7.66041 + 2.48902i −0.447526 + 0.145410i −0.524105 0.851654i \(-0.675600\pi\)
0.0765794 + 0.997063i \(0.475600\pi\)
\(294\) −1.30859 + 10.4187i −0.0763184 + 0.607633i
\(295\) 0.0939476 + 7.87046i 0.00546984 + 0.458236i
\(296\) 3.23602i 0.188090i
\(297\) 13.9361 12.4026i 0.808653 0.719673i
\(298\) 9.74201i 0.564339i
\(299\) 1.24015 + 0.901021i 0.0717197 + 0.0521074i
\(300\) −6.17148 4.26254i −0.356310 0.246098i
\(301\) −0.828129 1.91181i −0.0477326 0.110195i
\(302\) −3.31749 4.56613i −0.190900 0.262751i
\(303\) 19.8387 14.4137i 1.13971 0.828045i
\(304\) −0.758164 2.33339i −0.0434837 0.133829i
\(305\) 2.30703 + 6.82215i 0.132100 + 0.390635i
\(306\) 0.237267 0.326570i 0.0135636 0.0186687i
\(307\) 25.7572i 1.47004i −0.678044 0.735021i \(-0.737172\pi\)
0.678044 0.735021i \(-0.262828\pi\)
\(308\) −5.97459 + 6.42684i −0.340434 + 0.366203i
\(309\) 18.7454 1.06639
\(310\) 0.0112703 + 0.944172i 0.000640112 + 0.0536253i
\(311\) 24.6295 + 8.00260i 1.39661 + 0.453786i 0.908093 0.418769i \(-0.137538\pi\)
0.488517 + 0.872555i \(0.337538\pi\)
\(312\) −0.464613 + 0.150962i −0.0263035 + 0.00854654i
\(313\) 0.756757 0.549816i 0.0427745 0.0310775i −0.566193 0.824273i \(-0.691584\pi\)
0.608967 + 0.793196i \(0.291584\pi\)
\(314\) −15.5200 + 11.2759i −0.875843 + 0.636337i
\(315\) 3.84534 + 2.21077i 0.216660 + 0.124563i
\(316\) 0.220474 + 0.0716365i 0.0124027 + 0.00402987i
\(317\) −11.7119 + 16.1200i −0.657805 + 0.905391i −0.999406 0.0344544i \(-0.989031\pi\)
0.341602 + 0.939845i \(0.389031\pi\)
\(318\) 15.0801i 0.845648i
\(319\) −7.28923 + 3.19489i −0.408119 + 0.178879i
\(320\) −1.79320 + 1.33583i −0.100243 + 0.0746750i
\(321\) 3.92951 + 2.85496i 0.219324 + 0.159348i
\(322\) 12.1547 + 2.71231i 0.677354 + 0.151151i
\(323\) 1.25629 0.408195i 0.0699021 0.0227126i
\(324\) 5.00672 3.63760i 0.278151 0.202089i
\(325\) 1.53617 0.540000i 0.0852114 0.0299538i
\(326\) 10.2197 3.32057i 0.566016 0.183910i
\(327\) 25.8661 + 8.40442i 1.43040 + 0.464765i
\(328\) −3.29121 2.39121i −0.181727 0.132032i
\(329\) 16.9014 1.60378i 0.931806 0.0884193i
\(330\) −4.58724 10.1351i −0.252519 0.557922i
\(331\) −14.4420 −0.793804 −0.396902 0.917861i \(-0.629915\pi\)
−0.396902 + 0.917861i \(0.629915\pi\)
\(332\) 6.56779 9.03978i 0.360454 0.496123i
\(333\) 2.30744 + 0.749733i 0.126447 + 0.0410851i
\(334\) 7.52258 2.44424i 0.411617 0.133743i
\(335\) 6.62202 + 2.06457i 0.361800 + 0.112800i
\(336\) −2.97614 + 2.62572i −0.162362 + 0.143245i
\(337\) −9.72849 29.9412i −0.529945 1.63100i −0.754326 0.656500i \(-0.772036\pi\)
0.224381 0.974501i \(-0.427964\pi\)
\(338\) −3.98445 + 12.2629i −0.216725 + 0.667012i
\(339\) −7.37841 + 10.1555i −0.400740 + 0.551572i
\(340\) −0.719208 0.965458i −0.0390045 0.0523593i
\(341\) −0.707284 + 1.20882i −0.0383016 + 0.0654612i
\(342\) −1.83948 −0.0994674
\(343\) −17.4321 6.25473i −0.941245 0.337724i
\(344\) 0.243343 0.748933i 0.0131202 0.0403797i
\(345\) −9.12728 + 12.8832i −0.491396 + 0.693610i
\(346\) 11.6544 + 16.0409i 0.626545 + 0.862366i
\(347\) 4.16413 3.02541i 0.223542 0.162413i −0.470378 0.882465i \(-0.655882\pi\)
0.693920 + 0.720052i \(0.255882\pi\)
\(348\) −3.42346 + 1.11235i −0.183517 + 0.0596282i
\(349\) −1.58171 + 4.86800i −0.0846670 + 0.260578i −0.984423 0.175814i \(-0.943744\pi\)
0.899756 + 0.436393i \(0.143744\pi\)
\(350\) 9.70816 8.98619i 0.518923 0.480332i
\(351\) 1.83184i 0.0977762i
\(352\) −3.30041 + 0.327560i −0.175912 + 0.0174590i
\(353\) 3.35238 0.178429 0.0892147 0.996012i \(-0.471564\pi\)
0.0892147 + 0.996012i \(0.471564\pi\)
\(354\) −3.10370 + 4.27188i −0.164960 + 0.227048i
\(355\) 4.03409 + 11.9293i 0.214107 + 0.633139i
\(356\) −9.47390 + 3.07826i −0.502116 + 0.163147i
\(357\) −1.41369 1.60235i −0.0748202 0.0848054i
\(358\) −9.01343 + 6.54864i −0.476375 + 0.346106i
\(359\) −14.6734 + 4.76767i −0.774431 + 0.251628i −0.669461 0.742847i \(-0.733475\pi\)
−0.104971 + 0.994475i \(0.533475\pi\)
\(360\) 0.537055 + 1.58813i 0.0283053 + 0.0837018i
\(361\) 10.5014 + 7.62974i 0.552707 + 0.401565i
\(362\) 17.0527i 0.896270i
\(363\) 1.91491 16.3894i 0.100506 0.860223i
\(364\) −0.0813943 0.857772i −0.00426622 0.0449595i
\(365\) 0.378519 + 31.7104i 0.0198126 + 1.65980i
\(366\) −1.49296 + 4.59484i −0.0780380 + 0.240176i
\(367\) 3.88417 + 11.9542i 0.202752 + 0.624006i 0.999798 + 0.0200878i \(0.00639458\pi\)
−0.797046 + 0.603918i \(0.793605\pi\)
\(368\) 2.76672 + 3.80807i 0.144225 + 0.198509i
\(369\) −2.46757 + 1.79279i −0.128457 + 0.0933291i
\(370\) 4.18301 5.90436i 0.217464 0.306953i
\(371\) 25.9587 + 5.79268i 1.34771 + 0.300741i
\(372\) −0.372333 + 0.512472i −0.0193046 + 0.0265705i
\(373\) 37.4219 1.93763 0.968815 0.247784i \(-0.0797024\pi\)
0.968815 + 0.247784i \(0.0797024\pi\)
\(374\) −0.176358 1.77694i −0.00911927 0.0918833i
\(375\) 5.75039 + 15.7548i 0.296949 + 0.813576i
\(376\) 5.19133 + 3.77172i 0.267722 + 0.194512i
\(377\) 0.241488 0.743223i 0.0124372 0.0382779i
\(378\) 5.91533 + 13.6561i 0.304252 + 0.702392i
\(379\) 20.3040 14.7517i 1.04295 0.757744i 0.0720868 0.997398i \(-0.477034\pi\)
0.970858 + 0.239654i \(0.0770341\pi\)
\(380\) −1.63291 + 5.23748i −0.0837664 + 0.268677i
\(381\) 5.55485 + 17.0961i 0.284583 + 0.875858i
\(382\) 5.55713 17.1031i 0.284327 0.875070i
\(383\) 15.3530 + 11.1546i 0.784501 + 0.569974i 0.906327 0.422578i \(-0.138875\pi\)
−0.121825 + 0.992552i \(0.538875\pi\)
\(384\) −1.50009 −0.0765509
\(385\) 19.2087 4.00326i 0.978966 0.204025i
\(386\) 12.3188 0.627011
\(387\) −0.477647 0.347031i −0.0242802 0.0176406i
\(388\) 3.76849 11.5982i 0.191316 0.588811i
\(389\) 4.11649 + 12.6693i 0.208714 + 0.642357i 0.999540 + 0.0303158i \(0.00965129\pi\)
−0.790826 + 0.612041i \(0.790349\pi\)
\(390\) 1.04286 + 0.325137i 0.0528073 + 0.0164639i
\(391\) −2.05026 + 1.48960i −0.103686 + 0.0753325i
\(392\) −3.37668 6.13172i −0.170548 0.309699i
\(393\) −4.72648 + 14.5466i −0.238419 + 0.733779i
\(394\) 0.166985 + 0.121322i 0.00841259 + 0.00611210i
\(395\) −0.309672 0.415701i −0.0155813 0.0209162i
\(396\) −0.531085 + 2.42925i −0.0266880 + 0.122074i
\(397\) −32.5495 −1.63361 −0.816805 0.576914i \(-0.804257\pi\)
−0.816805 + 0.576914i \(0.804257\pi\)
\(398\) 13.1032 18.0350i 0.656806 0.904015i
\(399\) −2.12075 + 9.50371i −0.106170 + 0.475780i
\(400\) 4.99858 0.119350i 0.249929 0.00596752i
\(401\) 14.7964 10.7502i 0.738896 0.536839i −0.153469 0.988153i \(-0.549045\pi\)
0.892365 + 0.451314i \(0.149045\pi\)
\(402\) 2.73516 + 3.76463i 0.136418 + 0.187763i
\(403\) −0.0424960 0.130789i −0.00211688 0.00651508i
\(404\) −5.05153 + 15.5470i −0.251323 + 0.773493i
\(405\) −13.8373 + 0.165172i −0.687579 + 0.00820745i
\(406\) −0.599747 6.32042i −0.0297649 0.313677i
\(407\) 9.82990 4.30847i 0.487250 0.213563i
\(408\) 0.807645i 0.0399844i
\(409\) 20.7913 + 15.1058i 1.02806 + 0.746933i 0.967920 0.251257i \(-0.0808440\pi\)
0.0601441 + 0.998190i \(0.480844\pi\)
\(410\) 2.91409 + 8.61730i 0.143917 + 0.425578i
\(411\) −12.9302 + 4.20129i −0.637802 + 0.207234i
\(412\) −10.1097 + 7.34511i −0.498068 + 0.361868i
\(413\) −6.16138 6.98366i −0.303182 0.343643i
\(414\) 3.35635 1.09054i 0.164956 0.0535973i
\(415\) −23.6686 + 8.00397i −1.16185 + 0.392900i
\(416\) 0.191420 0.263467i 0.00938515 0.0129176i
\(417\) −31.8572 −1.56005
\(418\) −6.07860 + 5.40974i −0.297314 + 0.264599i
\(419\) 0.0761591i 0.00372062i 0.999998 + 0.00186031i \(0.000592155\pi\)
−0.999998 + 0.00186031i \(0.999408\pi\)
\(420\) 8.82430 0.943743i 0.430582 0.0460500i
\(421\) −0.783099 + 2.41013i −0.0381659 + 0.117463i −0.968324 0.249696i \(-0.919669\pi\)
0.930158 + 0.367159i \(0.119669\pi\)
\(422\) −4.13736 + 1.34431i −0.201404 + 0.0654400i
\(423\) 3.89217 2.82783i 0.189244 0.137494i
\(424\) 5.90889 + 8.13289i 0.286961 + 0.394968i
\(425\) 0.0642582 + 2.69123i 0.00311698 + 0.130544i
\(426\) −2.61059 + 8.03457i −0.126484 + 0.389276i
\(427\) −7.33606 4.33498i −0.355017 0.209784i
\(428\) −3.23791 −0.156510
\(429\) 1.07716 + 1.21034i 0.0520058 + 0.0584358i
\(430\) −1.41210 + 1.05193i −0.0680975 + 0.0507285i
\(431\) 10.5070 14.4616i 0.506104 0.696592i −0.477152 0.878821i \(-0.658331\pi\)
0.983256 + 0.182228i \(0.0583310\pi\)
\(432\) −1.73820 + 5.34963i −0.0836292 + 0.257384i
\(433\) 0.0743891 + 0.228946i 0.00357491 + 0.0110024i 0.952828 0.303511i \(-0.0981588\pi\)
−0.949253 + 0.314513i \(0.898159\pi\)
\(434\) −0.739144 0.837787i −0.0354801 0.0402151i
\(435\) 7.68424 + 2.39574i 0.368431 + 0.114867i
\(436\) −17.2431 + 5.60263i −0.825796 + 0.268317i
\(437\) 10.9833 + 3.56870i 0.525404 + 0.170714i
\(438\) −12.5049 + 17.2116i −0.597510 + 0.822401i
\(439\) 15.0509 0.718341 0.359171 0.933272i \(-0.383060\pi\)
0.359171 + 0.933272i \(0.383060\pi\)
\(440\) 6.44527 + 3.66859i 0.307266 + 0.174893i
\(441\) −5.15455 + 0.987121i −0.245455 + 0.0470058i
\(442\) 0.141851 + 0.103061i 0.00674715 + 0.00490209i
\(443\) 20.5775 + 6.68605i 0.977668 + 0.317664i 0.753908 0.656981i \(-0.228167\pi\)
0.223761 + 0.974644i \(0.428167\pi\)
\(444\) 4.61671 1.50006i 0.219100 0.0711898i
\(445\) 21.2649 + 6.62985i 1.00805 + 0.314285i
\(446\) 12.3973 9.00720i 0.587031 0.426503i
\(447\) 13.8986 4.51592i 0.657381 0.213596i
\(448\) 0.576225 2.58224i 0.0272241 0.121999i
\(449\) −28.1981 20.4871i −1.33075 0.966846i −0.999730 0.0232212i \(-0.992608\pi\)
−0.331018 0.943624i \(-0.607392\pi\)
\(450\) 1.07299 3.59188i 0.0505811 0.169323i
\(451\) −2.88170 + 13.1812i −0.135694 + 0.620681i
\(452\) 8.36813i 0.393604i
\(453\) −4.97651 + 6.84958i −0.233817 + 0.321822i
\(454\) −21.9096 7.11887i −1.02827 0.334105i
\(455\) −0.960282 + 1.67028i −0.0450187 + 0.0783041i
\(456\) −2.97752 + 2.16329i −0.139435 + 0.101305i
\(457\) −31.1079 + 22.6012i −1.45517 + 1.05724i −0.470576 + 0.882359i \(0.655954\pi\)
−0.984590 + 0.174881i \(0.944046\pi\)
\(458\) −14.8794 + 4.83462i −0.695270 + 0.225907i
\(459\) −2.88024 0.935847i −0.134438 0.0436816i
\(460\) −0.125628 10.5245i −0.00585744 0.490707i
\(461\) 21.6531 1.00849 0.504243 0.863562i \(-0.331772\pi\)
0.504243 + 0.863562i \(0.331772\pi\)
\(462\) 11.9385 + 5.54456i 0.555429 + 0.257956i
\(463\) 11.3856i 0.529136i −0.964367 0.264568i \(-0.914771\pi\)
0.964367 0.264568i \(-0.0852293\pi\)
\(464\) 1.41046 1.94134i 0.0654792 0.0901243i
\(465\) 1.34179 0.453751i 0.0622242 0.0210422i
\(466\) 0.260547 + 0.801883i 0.0120696 + 0.0371465i
\(467\) 8.29340 6.02551i 0.383773 0.278827i −0.379126 0.925345i \(-0.623775\pi\)
0.762899 + 0.646518i \(0.223775\pi\)
\(468\) −0.143516 0.197533i −0.00663405 0.00913098i
\(469\) −7.53107 + 3.26220i −0.347753 + 0.150634i
\(470\) −4.59649 13.5923i −0.212020 0.626967i
\(471\) 23.2813 + 16.9148i 1.07274 + 0.779395i
\(472\) 3.52003i 0.162022i
\(473\) −2.59899 + 0.257945i −0.119502 + 0.0118603i
\(474\) 0.347751i 0.0159727i
\(475\) 9.74955 7.44541i 0.447340 0.341619i
\(476\) 1.39028 + 0.310239i 0.0637232 + 0.0142198i
\(477\) 7.16815 2.32907i 0.328207 0.106641i
\(478\) 4.89498 + 6.73736i 0.223891 + 0.308160i
\(479\) 23.8610 17.3360i 1.09023 0.792102i 0.110796 0.993843i \(-0.464660\pi\)
0.979439 + 0.201741i \(0.0646600\pi\)
\(480\) 2.73702 + 1.93907i 0.124927 + 0.0885062i
\(481\) −0.325658 + 1.00227i −0.0148487 + 0.0456997i
\(482\) 11.5081 + 8.36111i 0.524179 + 0.380838i
\(483\) −1.76477 18.5980i −0.0802997 0.846237i
\(484\) 5.38922 + 9.58939i 0.244964 + 0.435881i
\(485\) −21.8683 + 16.2905i −0.992987 + 0.739715i
\(486\) 6.14150 + 4.46206i 0.278584 + 0.202403i
\(487\) 17.6380 + 5.73095i 0.799256 + 0.259694i 0.680041 0.733175i \(-0.261962\pi\)
0.119215 + 0.992868i \(0.461962\pi\)
\(488\) −0.995247 3.06306i −0.0450527 0.138658i
\(489\) −9.47470 13.0408i −0.428461 0.589726i
\(490\) −1.76511 + 15.5526i −0.0797394 + 0.702596i
\(491\) −0.239562 + 0.0778386i −0.0108113 + 0.00351280i −0.314418 0.949285i \(-0.601809\pi\)
0.303606 + 0.952798i \(0.401809\pi\)
\(492\) −1.88580 + 5.80391i −0.0850186 + 0.261660i
\(493\) 1.04522 + 0.759393i 0.0470741 + 0.0342014i
\(494\) 0.799005i 0.0359490i
\(495\) 4.10915 3.74584i 0.184693 0.168363i
\(496\) 0.422276i 0.0189608i
\(497\) −12.8279 7.58017i −0.575409 0.340017i
\(498\) −15.9413 5.17963i −0.714345 0.232105i
\(499\) −6.64170 20.4410i −0.297323 0.915067i −0.982431 0.186625i \(-0.940245\pi\)
0.685108 0.728441i \(-0.259755\pi\)
\(500\) −9.27456 6.24360i −0.414771 0.279222i
\(501\) −6.97421 9.59918i −0.311585 0.428860i
\(502\) −9.14150 + 2.97025i −0.408005 + 0.132569i
\(503\) 34.9094 + 11.3427i 1.55653 + 0.505748i 0.955879 0.293762i \(-0.0949073\pi\)
0.600653 + 0.799510i \(0.294907\pi\)
\(504\) −1.70776 1.00914i −0.0760698 0.0449507i
\(505\) 29.3136 21.8369i 1.30444 0.971729i
\(506\) 7.88395 13.4745i 0.350484 0.599013i
\(507\) 19.3420 0.859009
\(508\) −9.69463 7.04356i −0.430130 0.312508i
\(509\) 13.7937 + 4.48183i 0.611394 + 0.198654i 0.598315 0.801261i \(-0.295837\pi\)
0.0130782 + 0.999914i \(0.495837\pi\)
\(510\) −1.04400 + 1.47361i −0.0462289 + 0.0652525i
\(511\) −24.8244 28.1374i −1.09817 1.24473i
\(512\) 0.809017 0.587785i 0.0357538 0.0259767i
\(513\) 4.26462 + 13.1252i 0.188288 + 0.579490i
\(514\) −4.72111 + 14.5301i −0.208239 + 0.640895i
\(515\) 27.9405 0.333518i 1.23120 0.0146966i
\(516\) −1.18128 −0.0520029
\(517\) 4.54539 20.7912i 0.199906 0.914394i
\(518\) 0.808789 + 8.52341i 0.0355361 + 0.374497i
\(519\) 17.4826 24.0628i 0.767402 1.05624i
\(520\) −0.689830 + 0.233278i −0.0302510 + 0.0102299i
\(521\) −29.1844 + 9.48260i −1.27859 + 0.415440i −0.868085 0.496416i \(-0.834649\pi\)
−0.410509 + 0.911856i \(0.634649\pi\)
\(522\) −1.05749 1.45551i −0.0462850 0.0637058i
\(523\) −23.6685 32.5769i −1.03495 1.42449i −0.901165 0.433477i \(-0.857287\pi\)
−0.133786 0.991010i \(-0.542713\pi\)
\(524\) −3.15081 9.69718i −0.137644 0.423623i
\(525\) −17.3205 9.68473i −0.755930 0.422676i
\(526\) −1.13375 0.823714i −0.0494336 0.0359156i
\(527\) 0.227353 0.00990367
\(528\) 1.99723 + 4.55674i 0.0869183 + 0.198307i
\(529\) 0.843844 0.0366889
\(530\) −0.268304 22.4771i −0.0116544 0.976345i
\(531\) −2.50995 0.815533i −0.108923 0.0353911i
\(532\) −2.58013 5.95646i −0.111863 0.258246i
\(533\) −0.778729 1.07183i −0.0337305 0.0464260i
\(534\) 8.78329 + 12.0892i 0.380090 + 0.523149i
\(535\) 5.90782 + 4.18546i 0.255417 + 0.180953i
\(536\) −2.95023 0.958586i −0.127430 0.0414046i
\(537\) 13.5209 + 9.82352i 0.583471 + 0.423916i
\(538\) 11.9997i 0.517343i
\(539\) −14.1303 + 18.4210i −0.608635 + 0.793450i
\(540\) 10.0866 7.51394i 0.434060 0.323348i
\(541\) −24.4152 + 33.6046i −1.04969 + 1.44478i −0.160615 + 0.987017i \(0.551348\pi\)
−0.889076 + 0.457759i \(0.848652\pi\)
\(542\) 7.70500 23.7135i 0.330958 1.01858i
\(543\) −24.3285 + 7.90481i −1.04404 + 0.339228i
\(544\) 0.316463 + 0.435574i 0.0135683 + 0.0186751i
\(545\) 38.7036 + 12.0668i 1.65788 + 0.516883i
\(546\) −1.18602 + 0.513744i −0.0507571 + 0.0219862i
\(547\) 2.75033 8.46466i 0.117596 0.361923i −0.874884 0.484333i \(-0.839062\pi\)
0.992480 + 0.122410i \(0.0390623\pi\)
\(548\) 5.32725 7.33233i 0.227569 0.313222i
\(549\) −2.41469 −0.103057
\(550\) −7.01770 15.0250i −0.299236 0.640670i
\(551\) 5.88741i 0.250812i
\(552\) 4.15032 5.71243i 0.176649 0.243137i
\(553\) 0.598616 + 0.133581i 0.0254558 + 0.00568043i
\(554\) −2.37643 7.31391i −0.100965 0.310738i
\(555\) −10.3626 3.23078i −0.439867 0.137139i
\(556\) 17.1810 12.4828i 0.728638 0.529387i
\(557\) −5.59276 17.2127i −0.236973 0.729327i −0.996854 0.0792649i \(-0.974743\pi\)
0.759881 0.650062i \(-0.225257\pi\)
\(558\) −0.301104 0.0978346i −0.0127468 0.00414167i
\(559\) 0.150739 0.207474i 0.00637556 0.00877521i
\(560\) −4.38928 + 3.96664i −0.185481 + 0.167621i
\(561\) −2.45335 + 1.07531i −0.103580 + 0.0453995i
\(562\) 12.4278i 0.524233i
\(563\) −5.96933 + 8.21608i −0.251577 + 0.346267i −0.916063 0.401035i \(-0.868651\pi\)
0.664486 + 0.747301i \(0.268651\pi\)
\(564\) 2.97453 9.15467i 0.125250 0.385481i
\(565\) −10.8170 + 15.2683i −0.455074 + 0.642342i
\(566\) 13.1775 + 18.1373i 0.553893 + 0.762368i
\(567\) 12.2781 10.8325i 0.515634 0.454922i
\(568\) −1.74030 5.35608i −0.0730212 0.224736i
\(569\) −27.2023 8.83856i −1.14038 0.370532i −0.322868 0.946444i \(-0.604647\pi\)
−0.817511 + 0.575912i \(0.804647\pi\)
\(570\) 8.22907 0.0982282i 0.344678 0.00411433i
\(571\) 8.74654i 0.366031i −0.983110 0.183016i \(-0.941414\pi\)
0.983110 0.183016i \(-0.0585859\pi\)
\(572\) −1.05518 0.230685i −0.0441194 0.00964543i
\(573\) −26.9764 −1.12696
\(574\) −9.26643 5.47566i −0.386773 0.228550i
\(575\) −13.3752 + 19.3651i −0.557784 + 0.807582i
\(576\) −0.231684 0.713050i −0.00965349 0.0297104i
\(577\) −13.4356 + 9.76153i −0.559331 + 0.406378i −0.831214 0.555952i \(-0.812354\pi\)
0.271883 + 0.962330i \(0.412354\pi\)
\(578\) 13.5188 9.82197i 0.562307 0.408540i
\(579\) −5.71041 17.5748i −0.237316 0.730385i
\(580\) −5.08295 + 1.71889i −0.211058 + 0.0713731i
\(581\) 15.0397 25.4516i 0.623951 1.05591i
\(582\) −18.2937 −0.758298
\(583\) 16.8377 28.7774i 0.697348 1.19184i
\(584\) 14.1823i 0.586869i
\(585\) 0.00651662 + 0.545930i 0.000269429 + 0.0225714i
\(586\) −7.66041 2.48902i −0.316448 0.102820i
\(587\) −3.69244 11.3642i −0.152403 0.469049i 0.845485 0.533999i \(-0.179311\pi\)
−0.997889 + 0.0649498i \(0.979311\pi\)
\(588\) −7.18265 + 7.65977i −0.296207 + 0.315884i
\(589\) −0.608970 0.838176i −0.0250922 0.0345364i
\(590\) −4.55013 + 6.42255i −0.187326 + 0.264412i
\(591\) 0.0956794 0.294471i 0.00393572 0.0121129i
\(592\) −1.90208 + 2.61799i −0.0781751 + 0.107599i
\(593\) 27.5376i 1.13083i 0.824805 + 0.565417i \(0.191285\pi\)
−0.824805 + 0.565417i \(0.808715\pi\)
\(594\) 18.5646 1.84251i 0.761715 0.0755989i
\(595\) −2.13564 2.36319i −0.0875526 0.0968812i
\(596\) −5.72621 + 7.88145i −0.234555 + 0.322837i
\(597\) −31.8040 10.3337i −1.30165 0.422932i
\(598\) 0.473695 + 1.45788i 0.0193708 + 0.0596173i
\(599\) 22.5834 16.4078i 0.922731 0.670404i −0.0214710 0.999769i \(-0.506835\pi\)
0.944202 + 0.329366i \(0.106835\pi\)
\(600\) −2.48737 7.07597i −0.101547 0.288875i
\(601\) −5.00782 15.4125i −0.204273 0.628689i −0.999742 0.0226947i \(-0.992775\pi\)
0.795469 0.605994i \(-0.207225\pi\)
\(602\) 0.453762 2.03345i 0.0184940 0.0828771i
\(603\) −1.36704 + 1.88157i −0.0556701 + 0.0766234i
\(604\) 5.64405i 0.229653i
\(605\) 2.56261 24.4629i 0.104185 0.994558i
\(606\) 24.5220 0.996140
\(607\) −5.97460 + 8.22333i −0.242501 + 0.333775i −0.912867 0.408256i \(-0.866137\pi\)
0.670366 + 0.742031i \(0.266137\pi\)
\(608\) 0.758164 2.33339i 0.0307476 0.0946314i
\(609\) −8.73911 + 3.78548i −0.354127 + 0.153395i
\(610\) −2.14353 + 6.87528i −0.0867890 + 0.278372i
\(611\) 1.22831 + 1.69063i 0.0496922 + 0.0683954i
\(612\) 0.383906 0.124738i 0.0155185 0.00504225i
\(613\) 3.52773 10.8572i 0.142484 0.438520i −0.854195 0.519953i \(-0.825950\pi\)
0.996679 + 0.0814326i \(0.0259495\pi\)
\(614\) 15.1397 20.8380i 0.610989 0.840955i
\(615\) 10.9432 8.15200i 0.441271 0.328720i
\(616\) −8.61115 + 1.68765i −0.346953 + 0.0679974i
\(617\) 22.6358i 0.911285i −0.890163 0.455642i \(-0.849410\pi\)
0.890163 0.455642i \(-0.150590\pi\)
\(618\) 15.1654 + 11.0183i 0.610041 + 0.443221i
\(619\) −23.5446 7.65009i −0.946336 0.307483i −0.205110 0.978739i \(-0.565755\pi\)
−0.741226 + 0.671256i \(0.765755\pi\)
\(620\) −0.545852 + 0.770475i −0.0219220 + 0.0309430i
\(621\) −15.5626 21.4201i −0.624508 0.859561i
\(622\) 15.2219 + 20.9511i 0.610341 + 0.840062i
\(623\) −24.1841 + 10.4757i −0.968917 + 0.419701i
\(624\) −0.464613 0.150962i −0.0185994 0.00604331i
\(625\) 8.85139 + 23.3806i 0.354056 + 0.935224i
\(626\) 0.935404 0.0373862
\(627\) 10.5356 + 6.16443i 0.420753 + 0.246184i
\(628\) −19.1837 −0.765515
\(629\) −1.40953 1.02408i −0.0562015 0.0408328i
\(630\) 1.81149 + 4.04878i 0.0721714 + 0.161307i
\(631\) 9.51865 + 29.2954i 0.378932 + 1.16623i 0.940788 + 0.338996i \(0.110087\pi\)
−0.561856 + 0.827235i \(0.689913\pi\)
\(632\) 0.136261 + 0.187547i 0.00542016 + 0.00746021i
\(633\) 3.83576 + 5.27948i 0.152458 + 0.209840i
\(634\) −18.9502 + 6.15730i −0.752609 + 0.244538i
\(635\) 8.58379 + 25.3832i 0.340637 + 1.00730i
\(636\) 8.86383 12.2000i 0.351474 0.483762i
\(637\) −0.428772 2.23896i −0.0169886 0.0887108i
\(638\) −7.77502 1.69978i −0.307816 0.0672951i
\(639\) −4.22235 −0.167033
\(640\) −2.23591 + 0.0266895i −0.0883821 + 0.00105499i
\(641\) 5.84241 17.9811i 0.230761 0.710210i −0.766894 0.641774i \(-0.778199\pi\)
0.997655 0.0684367i \(-0.0218011\pi\)
\(642\) 1.50094 + 4.61942i 0.0592374 + 0.182314i
\(643\) −23.5788 + 17.1310i −0.929856 + 0.675580i −0.945958 0.324290i \(-0.894874\pi\)
0.0161016 + 0.999870i \(0.494874\pi\)
\(644\) 8.23909 + 9.33865i 0.324666 + 0.367994i
\(645\) 2.15533 + 1.52697i 0.0848661 + 0.0601244i
\(646\) 1.25629 + 0.408195i 0.0494283 + 0.0160602i
\(647\) 4.93972 + 3.58891i 0.194200 + 0.141095i 0.680636 0.732621i \(-0.261703\pi\)
−0.486436 + 0.873716i \(0.661703\pi\)
\(648\) 6.18865 0.243113
\(649\) −10.6926 + 4.68660i −0.419722 + 0.183965i
\(650\) 1.56019 + 0.466069i 0.0611958 + 0.0182807i
\(651\) −0.852611 + 1.44287i −0.0334165 + 0.0565505i
\(652\) 10.2197 + 3.32057i 0.400233 + 0.130044i
\(653\) 34.6497 11.2584i 1.35595 0.440574i 0.461259 0.887265i \(-0.347398\pi\)
0.894688 + 0.446691i \(0.147398\pi\)
\(654\) 15.9862 + 22.0031i 0.625108 + 0.860388i
\(655\) −6.78610 + 21.7661i −0.265155 + 0.850472i
\(656\) −1.25713 3.86905i −0.0490827 0.151061i
\(657\) −10.1127 3.28582i −0.394534 0.128192i
\(658\) 14.6162 + 8.63692i 0.569799 + 0.336702i
\(659\) 22.5251i 0.877454i −0.898620 0.438727i \(-0.855430\pi\)
0.898620 0.438727i \(-0.144570\pi\)
\(660\) 2.24614 10.8958i 0.0874307 0.424119i
\(661\) 15.4324i 0.600250i 0.953900 + 0.300125i \(0.0970283\pi\)
−0.953900 + 0.300125i \(0.902972\pi\)
\(662\) −11.6838 8.48879i −0.454105 0.329926i
\(663\) 0.0812778 0.250147i 0.00315657 0.00971492i
\(664\) 10.6269 3.45289i 0.412404 0.133998i
\(665\) −2.99193 + 14.2032i −0.116022 + 0.550777i
\(666\) 1.42608 + 1.96283i 0.0552593 + 0.0760580i
\(667\) 3.49038 + 10.7423i 0.135148 + 0.415943i
\(668\) 7.52258 + 2.44424i 0.291057 + 0.0945703i
\(669\) −18.5971 13.5116i −0.719004 0.522387i
\(670\) 4.14380 + 5.56260i 0.160089 + 0.214902i
\(671\) −7.97942 + 7.10140i −0.308042 + 0.274147i
\(672\) −3.95110 + 0.374922i −0.152417 + 0.0144629i
\(673\) 2.86608 + 2.08233i 0.110479 + 0.0802678i 0.641653 0.766995i \(-0.278249\pi\)
−0.531174 + 0.847263i \(0.678249\pi\)
\(674\) 9.72849 29.9412i 0.374727 1.15329i
\(675\) −28.1167 + 0.671339i −1.08221 + 0.0258398i
\(676\) −10.4314 + 7.57887i −0.401208 + 0.291495i
\(677\) −6.39270 8.79880i −0.245692 0.338165i 0.668305 0.743887i \(-0.267020\pi\)
−0.913997 + 0.405722i \(0.867020\pi\)
\(678\) −11.9385 + 3.87906i −0.458496 + 0.148974i
\(679\) 7.02712 31.4907i 0.269676 1.20850i
\(680\) −0.0143696 1.20381i −0.000551049 0.0461641i
\(681\) 34.5577i 1.32425i
\(682\) −1.28273 + 0.562224i −0.0491183 + 0.0215287i
\(683\) 2.39383i 0.0915974i 0.998951 + 0.0457987i \(0.0145833\pi\)
−0.998951 + 0.0457987i \(0.985417\pi\)
\(684\) −1.48817 1.08122i −0.0569015 0.0413413i
\(685\) −19.1980 + 6.49217i −0.733520 + 0.248053i
\(686\) −10.4264 15.3065i −0.398083 0.584406i
\(687\) 13.7948 + 18.9869i 0.526304 + 0.724395i
\(688\) 0.637080 0.462866i 0.0242884 0.0176466i
\(689\) 1.01167 + 3.11360i 0.0385415 + 0.118619i
\(690\) −14.9567 + 5.05788i −0.569392 + 0.192550i
\(691\) −22.4766 + 30.9364i −0.855049 + 1.17687i 0.127678 + 0.991816i \(0.459248\pi\)
−0.982727 + 0.185059i \(0.940752\pi\)
\(692\) 19.8277i 0.753735i
\(693\) −0.791685 + 6.53118i −0.0300736 + 0.248099i
\(694\) 5.14714 0.195383
\(695\) −47.4838 + 0.566802i −1.80116 + 0.0215000i
\(696\) −3.42346 1.11235i −0.129766 0.0421635i
\(697\) 2.08310 0.676839i 0.0789029 0.0256371i
\(698\) −4.14097 + 3.00859i −0.156738 + 0.113877i
\(699\) 1.02324 0.743428i 0.0387025 0.0281190i
\(700\) 13.1360 1.56367i 0.496495 0.0591012i
\(701\) −10.0187 3.25527i −0.378401 0.122950i 0.113640 0.993522i \(-0.463749\pi\)
−0.492041 + 0.870572i \(0.663749\pi\)
\(702\) −1.07673 + 1.48199i −0.0406384 + 0.0559340i
\(703\) 7.93947i 0.299443i
\(704\) −2.86262 1.67493i −0.107889 0.0631263i
\(705\) −17.2610 + 12.8584i −0.650086 + 0.484275i
\(706\) 2.71214 + 1.97048i 0.102073 + 0.0741601i
\(707\) −9.41961 + 42.2121i −0.354261 + 1.58755i
\(708\) −5.02190 + 1.63171i −0.188735 + 0.0613236i
\(709\) 39.3761 28.6084i 1.47880 1.07441i 0.500861 0.865528i \(-0.333017\pi\)
0.977940 0.208884i \(-0.0669832\pi\)
\(710\) −3.74819 + 12.0221i −0.140667 + 0.451183i
\(711\) 0.165300 0.0537091i 0.00619922 0.00201425i
\(712\) −9.47390 3.07826i −0.355049 0.115363i
\(713\) 1.60806 + 1.16832i 0.0602222 + 0.0437540i
\(714\) −0.201858 2.12727i −0.00755433 0.0796112i
\(715\) 1.62707 + 1.78488i 0.0608488 + 0.0667505i
\(716\) −11.1412 −0.416367
\(717\) 7.34289 10.1066i 0.274225 0.377439i
\(718\) −14.6734 4.76767i −0.547606 0.177928i
\(719\) −20.8648 + 6.77937i −0.778124 + 0.252828i −0.671039 0.741422i \(-0.734152\pi\)
−0.107085 + 0.994250i \(0.534152\pi\)
\(720\) −0.498993 + 1.60050i −0.0185964 + 0.0596470i
\(721\) −24.7923 + 21.8732i −0.923313 + 0.814600i
\(722\) 4.01119 + 12.3452i 0.149281 + 0.459440i
\(723\) 6.59392 20.2940i 0.245230 0.754741i
\(724\) 10.0233 13.7959i 0.372514 0.512721i
\(725\) 11.4961 + 3.43419i 0.426956 + 0.127543i
\(726\) 11.1827 12.1338i 0.415028 0.450327i
\(727\) −19.2838 −0.715197 −0.357599 0.933875i \(-0.616404\pi\)
−0.357599 + 0.933875i \(0.616404\pi\)
\(728\) 0.438336 0.741794i 0.0162458 0.0274927i
\(729\) 9.25616 28.4875i 0.342821 1.05509i
\(730\) −18.3327 + 25.8767i −0.678522 + 0.957740i
\(731\) 0.249207 + 0.343004i 0.00921724 + 0.0126864i
\(732\) −3.90861 + 2.83977i −0.144466 + 0.104961i
\(733\) −20.2610 + 6.58320i −0.748357 + 0.243156i −0.658274 0.752778i \(-0.728713\pi\)
−0.0900830 + 0.995934i \(0.528713\pi\)
\(734\) −3.88417 + 11.9542i −0.143367 + 0.441239i
\(735\) 23.0066 4.69123i 0.848612 0.173039i
\(736\) 4.70703i 0.173504i
\(737\) 1.01611 + 10.2380i 0.0374289 + 0.377123i
\(738\) −3.05008 −0.112275
\(739\) 29.1699 40.1489i 1.07303 1.47690i 0.206062 0.978539i \(-0.433935\pi\)
0.866969 0.498362i \(-0.166065\pi\)
\(740\) 6.85462 2.31801i 0.251981 0.0852119i
\(741\) −1.13991 + 0.370380i −0.0418758 + 0.0136063i
\(742\) 17.5962 + 19.9445i 0.645977 + 0.732187i
\(743\) −36.3102 + 26.3809i −1.33209 + 0.967822i −0.332397 + 0.943140i \(0.607857\pi\)
−0.999695 + 0.0246822i \(0.992143\pi\)
\(744\) −0.602447 + 0.195747i −0.0220868 + 0.00717643i
\(745\) 20.6358 6.97837i 0.756037 0.255668i
\(746\) 30.2749 + 21.9960i 1.10844 + 0.805331i
\(747\) 8.37749i 0.306516i
\(748\) 0.901782 1.54123i 0.0329724 0.0563531i
\(749\) −8.52840 + 0.809263i −0.311621 + 0.0295698i
\(750\) −4.60830 + 16.1259i −0.168271 + 0.588836i
\(751\) −1.54932 + 4.76832i −0.0565355 + 0.173998i −0.975337 0.220722i \(-0.929159\pi\)
0.918801 + 0.394721i \(0.129159\pi\)
\(752\) 1.98291 + 6.10277i 0.0723093 + 0.222545i
\(753\) 8.47512 + 11.6650i 0.308851 + 0.425096i
\(754\) 0.632223 0.459337i 0.0230242 0.0167281i
\(755\) −7.29573 + 10.2980i −0.265519 + 0.374782i
\(756\) −3.24123 + 14.5249i −0.117882 + 0.528267i
\(757\) −24.1802 + 33.2812i −0.878843 + 1.20962i 0.0978964 + 0.995197i \(0.468789\pi\)
−0.976740 + 0.214428i \(0.931211\pi\)
\(758\) 25.0971 0.911567
\(759\) −22.8782 5.00165i −0.830425 0.181549i
\(760\) −4.39956 + 3.27741i −0.159589 + 0.118884i
\(761\) −36.0123 26.1645i −1.30544 0.948461i −0.305452 0.952208i \(-0.598807\pi\)
−0.999993 + 0.00374636i \(0.998807\pi\)
\(762\) −5.55485 + 17.0961i −0.201231 + 0.619325i
\(763\) −44.0167 + 19.0665i −1.59351 + 0.690254i
\(764\) 14.5488 10.5703i 0.526355 0.382420i
\(765\) −0.861707 0.268658i −0.0311551 0.00971334i
\(766\) 5.86432 + 18.0485i 0.211887 + 0.652120i
\(767\) 0.354240 1.09024i 0.0127909 0.0393662i
\(768\) −1.21359 0.881728i −0.0437918 0.0318166i
\(769\) 19.1126 0.689217 0.344609 0.938746i \(-0.388012\pi\)
0.344609 + 0.938746i \(0.388012\pi\)
\(770\) 17.8932 + 8.05188i 0.644827 + 0.290170i
\(771\) 22.9181 0.825374
\(772\) 9.96613 + 7.24082i 0.358689 + 0.260603i
\(773\) 13.2208 40.6895i 0.475520 1.46350i −0.369736 0.929137i \(-0.620552\pi\)
0.845256 0.534362i \(-0.179448\pi\)
\(774\) −0.182445 0.561508i −0.00655785 0.0201830i
\(775\) 1.99190 0.700199i 0.0715511 0.0251519i
\(776\) 9.86605 7.16810i 0.354170 0.257320i
\(777\) 11.7851 5.10491i 0.422789 0.183138i
\(778\) −4.11649 + 12.6693i −0.147583 + 0.454215i
\(779\) −8.07489 5.86675i −0.289313 0.210198i
\(780\) 0.652582 + 0.876020i 0.0233662 + 0.0313665i
\(781\) −13.9529 + 12.4176i −0.499273 + 0.444335i
\(782\) −2.53426 −0.0906251
\(783\) −7.93377 + 10.9199i −0.283530 + 0.390245i
\(784\) 0.872342 6.94543i 0.0311551 0.248051i
\(785\) 35.0022 + 24.7977i 1.24928 + 0.885068i
\(786\) −12.3741 + 8.99029i −0.441369 + 0.320673i
\(787\) 4.14868 + 5.71017i 0.147885 + 0.203546i 0.876532 0.481343i \(-0.159851\pi\)
−0.728648 + 0.684889i \(0.759851\pi\)
\(788\) 0.0637826 + 0.196303i 0.00227216 + 0.00699300i
\(789\) −0.649615 + 1.99931i −0.0231269 + 0.0711773i
\(790\) −0.00618717 0.518330i −0.000220130 0.0184413i
\(791\) −2.09148 22.0410i −0.0743643 0.783687i
\(792\) −1.85753 + 1.65314i −0.0660045 + 0.0587417i
\(793\) 1.04886i 0.0372461i
\(794\) −26.3331 19.1321i −0.934525 0.678972i
\(795\) −31.9430 + 10.8021i −1.13290 + 0.383111i
\(796\) 21.2015 6.88878i 0.751466 0.244166i
\(797\) −4.11659 + 2.99088i −0.145817 + 0.105942i −0.658302 0.752754i \(-0.728725\pi\)
0.512485 + 0.858696i \(0.328725\pi\)
\(798\) −7.30186 + 6.44212i −0.258483 + 0.228049i
\(799\) −3.28573 + 1.06760i −0.116241 + 0.0377689i
\(800\) 4.11408 + 2.84153i 0.145455 + 0.100463i
\(801\) −4.38990 + 6.04218i −0.155109 + 0.213490i
\(802\) 18.2893 0.645819
\(803\) −43.0810 + 18.8825i −1.52030 + 0.666349i
\(804\) 4.65334i 0.164111i
\(805\) −2.96132 27.6893i −0.104373 0.975919i
\(806\) 0.0424960 0.130789i 0.00149686 0.00460686i
\(807\) 17.1195 5.56247i 0.602636 0.195808i
\(808\) −13.2251 + 9.60858i −0.465257 + 0.338029i
\(809\) 8.93070 + 12.2921i 0.313987 + 0.432166i 0.936619 0.350349i \(-0.113937\pi\)
−0.622633 + 0.782514i \(0.713937\pi\)
\(810\) −11.2917 7.99971i −0.396748 0.281081i
\(811\) 5.34308 16.4443i 0.187621 0.577438i −0.812363 0.583152i \(-0.801819\pi\)
0.999984 + 0.00571471i \(0.00181906\pi\)
\(812\) 3.22984 5.46585i 0.113345 0.191814i
\(813\) −37.4030 −1.31178
\(814\) 10.4850 + 2.29225i 0.367499 + 0.0803432i
\(815\) −14.3543 19.2690i −0.502808 0.674965i
\(816\) 0.474722 0.653399i 0.0166186 0.0228735i
\(817\) 0.597034 1.83748i 0.0208876 0.0642854i
\(818\) 7.94158 + 24.4417i 0.277671 + 0.854583i
\(819\) −0.427381 0.484417i −0.0149339 0.0169269i
\(820\) −2.70757 + 8.68440i −0.0945524 + 0.303272i
\(821\) 48.4617 15.7462i 1.69132 0.549545i 0.704271 0.709932i \(-0.251274\pi\)
0.987054 + 0.160387i \(0.0512741\pi\)
\(822\) −12.9302 4.20129i −0.450994 0.146537i
\(823\) 26.8446 36.9484i 0.935743 1.28794i −0.0218344 0.999762i \(-0.506951\pi\)
0.957577 0.288178i \(-0.0930493\pi\)
\(824\) −12.4962 −0.435327
\(825\) −18.1826 + 16.9768i −0.633038 + 0.591056i
\(826\) −0.879772 9.27147i −0.0306112 0.322596i
\(827\) 34.3516 + 24.9579i 1.19452 + 0.867872i 0.993735 0.111763i \(-0.0356496\pi\)
0.200788 + 0.979635i \(0.435650\pi\)
\(828\) 3.35635 + 1.09054i 0.116641 + 0.0378990i
\(829\) −39.6396 + 12.8797i −1.37674 + 0.447331i −0.901597 0.432577i \(-0.857604\pi\)
−0.475145 + 0.879908i \(0.657604\pi\)
\(830\) −23.8529 7.43672i −0.827948 0.258132i
\(831\) −9.33290 + 6.78075i −0.323755 + 0.235222i
\(832\) 0.309724 0.100636i 0.0107378 0.00348891i
\(833\) 3.73942 + 0.469669i 0.129563 + 0.0162731i
\(834\) −25.7730 18.7252i −0.892447 0.648400i
\(835\) −10.5660 14.1837i −0.365652 0.490847i
\(836\) −8.09745 + 0.803659i −0.280056 + 0.0277951i
\(837\) 2.37528i 0.0821016i
\(838\) −0.0447652 + 0.0616140i −0.00154639 + 0.00212842i
\(839\) 39.9478 + 12.9798i 1.37915 + 0.448113i 0.902390 0.430920i \(-0.141811\pi\)
0.476761 + 0.879033i \(0.341811\pi\)
\(840\) 7.69373 + 4.42329i 0.265459 + 0.152618i
\(841\) −18.8030 + 13.6612i −0.648380 + 0.471075i
\(842\) −2.05018 + 1.48954i −0.0706539 + 0.0513330i
\(843\) −17.7302 + 5.76091i −0.610662 + 0.198416i
\(844\) −4.13736 1.34431i −0.142414 0.0462731i
\(845\) 28.8297 0.344132i 0.991771 0.0118385i
\(846\) 4.81099 0.165405
\(847\) 16.5915 + 23.9107i 0.570090 + 0.821582i
\(848\) 10.0528i 0.345215i
\(849\) 19.7674 27.2075i 0.678416 0.933760i
\(850\) −1.52988 + 2.21502i −0.0524744 + 0.0759746i
\(851\) −4.70696 14.4865i −0.161352 0.496592i
\(852\) −6.83462 + 4.96564i −0.234150 + 0.170120i
\(853\) 4.59884 + 6.32976i 0.157461 + 0.216727i 0.880457 0.474125i \(-0.157236\pi\)
−0.722996 + 0.690852i \(0.757236\pi\)
\(854\) −3.38696 7.81910i −0.115899 0.267564i
\(855\) 1.31765 + 3.89643i 0.0450626 + 0.133255i
\(856\) −2.61953 1.90320i −0.0895336 0.0650500i
\(857\) 7.83870i 0.267765i 0.990997 + 0.133882i \(0.0427445\pi\)
−0.990997 + 0.133882i \(0.957256\pi\)
\(858\) 0.160021 + 1.61233i 0.00546302 + 0.0550439i
\(859\) 39.2036i 1.33761i 0.743438 + 0.668805i \(0.233194\pi\)
−0.743438 + 0.668805i \(0.766806\pi\)
\(860\) −1.76072 + 0.0210173i −0.0600401 + 0.000716683i
\(861\) −3.51647 + 15.7584i −0.119841 + 0.537043i
\(862\) 17.0007 5.52385i 0.579045 0.188143i
\(863\) −11.4844 15.8070i −0.390935 0.538075i 0.567505 0.823370i \(-0.307909\pi\)
−0.958440 + 0.285294i \(0.907909\pi\)
\(864\) −4.55067 + 3.30625i −0.154817 + 0.112481i
\(865\) 25.6301 36.1771i 0.871449 1.23006i
\(866\) −0.0743891 + 0.228946i −0.00252784 + 0.00777991i
\(867\) −20.2793 14.7338i −0.688722 0.500386i
\(868\) −0.105541 1.11224i −0.00358230 0.0377520i
\(869\) 0.388283 0.663615i 0.0131716 0.0225116i
\(870\) 4.80850 + 6.45488i 0.163023 + 0.218841i
\(871\) −0.817289 0.593795i −0.0276928 0.0201200i
\(872\) −17.2431 5.60263i −0.583926 0.189729i
\(873\) −2.82541 8.69572i −0.0956256 0.294305i
\(874\) 6.78807 + 9.34298i 0.229610 + 0.316031i
\(875\) −25.9889 14.1271i −0.878586 0.477584i
\(876\) −20.2334 + 6.57424i −0.683624 + 0.222123i
\(877\) 6.70334 20.6308i 0.226356 0.696651i −0.771795 0.635871i \(-0.780641\pi\)
0.998151 0.0607804i \(-0.0193589\pi\)
\(878\) 12.1765 + 8.84671i 0.410935 + 0.298562i
\(879\) 12.0826i 0.407537i
\(880\) 3.05799 + 6.75638i 0.103085 + 0.227758i
\(881\) 20.0203i 0.674503i 0.941415 + 0.337251i \(0.109497\pi\)
−0.941415 + 0.337251i \(0.890503\pi\)
\(882\) −4.75033 2.23117i −0.159952 0.0751273i
\(883\) −26.8896 8.73697i −0.904908 0.294023i −0.180647 0.983548i \(-0.557819\pi\)
−0.724261 + 0.689525i \(0.757819\pi\)
\(884\) 0.0541822 + 0.166756i 0.00182234 + 0.00560860i
\(885\) 11.2721 + 3.51433i 0.378906 + 0.118133i
\(886\) 12.7176 + 17.5043i 0.427257 + 0.588068i
\(887\) −3.39804 + 1.10409i −0.114095 + 0.0370717i −0.365508 0.930808i \(-0.619105\pi\)
0.251413 + 0.967880i \(0.419105\pi\)
\(888\) 4.61671 + 1.50006i 0.154927 + 0.0503388i
\(889\) −27.2953 16.1292i −0.915455 0.540955i
\(890\) 13.3068 + 17.8629i 0.446044 + 0.598765i
\(891\) −8.23964 18.7990i −0.276038 0.629789i
\(892\) 15.3240 0.513084
\(893\) 12.7368 + 9.25380i 0.426219 + 0.309666i
\(894\) 13.8986 + 4.51592i 0.464838 + 0.151035i
\(895\) 20.3280 + 14.4016i 0.679490 + 0.481392i
\(896\) 1.98398 1.75038i 0.0662801 0.0584761i
\(897\) 1.86033 1.35161i 0.0621146 0.0451289i
\(898\) −10.7707 33.1488i −0.359423 1.10619i
\(899\) 0.313129 0.963711i 0.0104434 0.0321415i
\(900\) 2.97932 2.27521i 0.0993107 0.0758403i
\(901\) −5.41242 −0.180314
\(902\) −10.0791 + 8.97003i −0.335597 + 0.298669i
\(903\) −3.11139 + 0.295241i −0.103541 + 0.00982501i
\(904\) 4.91866 6.76996i 0.163592 0.225166i
\(905\) −36.1215 + 12.2151i −1.20072 + 0.406045i
\(906\) −8.05217 + 2.61631i −0.267515 + 0.0869210i
\(907\) 29.8232 + 41.0481i 0.990263 + 1.36298i 0.931113 + 0.364732i \(0.118839\pi\)
0.0591508 + 0.998249i \(0.481161\pi\)
\(908\) −13.5409 18.6374i −0.449370 0.618505i
\(909\) 3.78736 + 11.6563i 0.125619 + 0.386615i
\(910\) −1.75865 + 0.786848i −0.0582988 + 0.0260838i
\(911\) −6.36351 4.62336i −0.210832 0.153179i 0.477358 0.878709i \(-0.341595\pi\)
−0.688190 + 0.725530i \(0.741595\pi\)
\(912\) −3.68041 −0.121871
\(913\) −24.6375 27.6836i −0.815381 0.916195i
\(914\) −38.4515 −1.27186
\(915\) 10.8024 0.128945i 0.357115 0.00426279i
\(916\) −14.8794 4.83462i −0.491630 0.159740i
\(917\) −10.7226 24.7541i −0.354092 0.817453i
\(918\) −1.78009 2.45008i −0.0587516 0.0808646i
\(919\) −5.87938 8.09228i −0.193943 0.266940i 0.700960 0.713201i \(-0.252755\pi\)
−0.894903 + 0.446261i \(0.852755\pi\)
\(920\) 6.08451 8.58834i 0.200600 0.283149i
\(921\) −36.7470 11.9398i −1.21085 0.393430i
\(922\) 17.5177 + 12.7274i 0.576916 + 0.419154i
\(923\) 1.83404i 0.0603683i
\(924\) 6.39943 + 11.5029i 0.210526 + 0.378418i
\(925\) −15.5031 4.63118i −0.509740 0.152272i
\(926\) 6.69231 9.21118i 0.219923 0.302698i
\(927\) −2.89518 + 8.91044i −0.0950901 + 0.292657i
\(928\) 2.28218 0.741525i 0.0749162 0.0243417i
\(929\) −14.4883 19.9414i −0.475345 0.654256i 0.502257 0.864718i \(-0.332503\pi\)
−0.977602 + 0.210462i \(0.932503\pi\)
\(930\) 1.35224 + 0.421593i 0.0443418 + 0.0138246i
\(931\) −8.28459 15.0440i −0.271516 0.493047i
\(932\) −0.260547 + 0.801883i −0.00853452 + 0.0262665i
\(933\) 22.8341 31.4284i 0.747554 1.02892i
\(934\) 10.2512 0.335430
\(935\) −3.63763 + 1.64642i −0.118963 + 0.0538437i
\(936\) 0.244165i 0.00798077i
\(937\) 5.55066 7.63983i 0.181332 0.249582i −0.708668 0.705542i \(-0.750704\pi\)
0.890001 + 0.455959i \(0.150704\pi\)
\(938\) −8.01024 1.78748i −0.261544 0.0583633i
\(939\) −0.433608 1.33451i −0.0141503 0.0435500i
\(940\) 4.27073 13.6982i 0.139296 0.446785i
\(941\) 29.7671 21.6271i 0.970380 0.705022i 0.0148418 0.999890i \(-0.495276\pi\)
0.955538 + 0.294868i \(0.0952755\pi\)
\(942\) 8.89266 + 27.3688i 0.289738 + 0.891723i
\(943\) 18.2118 + 5.91736i 0.593056 + 0.192696i
\(944\) 2.06902 2.84776i 0.0673408 0.0926867i
\(945\) 24.6894 22.3121i 0.803147 0.725813i
\(946\) −2.25424 1.31896i −0.0732917 0.0428832i
\(947\) 36.4830i 1.18554i −0.805372 0.592770i \(-0.798034\pi\)
0.805372 0.592770i \(-0.201966\pi\)
\(948\) 0.204403 0.281336i 0.00663869 0.00913737i
\(949\) 1.42725 4.39261i 0.0463304 0.142590i
\(950\) 12.2638 0.292823i 0.397892 0.00950042i
\(951\) 17.5688 + 24.1814i 0.569708 + 0.784136i
\(952\) 0.942404 + 1.06817i 0.0305435 + 0.0346197i
\(953\) 0.742332 + 2.28466i 0.0240465 + 0.0740075i 0.962360 0.271779i \(-0.0876121\pi\)
−0.938313 + 0.345787i \(0.887612\pi\)
\(954\) 7.16815 + 2.32907i 0.232077 + 0.0754065i
\(955\) −40.2089 + 0.479963i −1.30113 + 0.0155312i
\(956\) 8.32784i 0.269342i
\(957\) 1.17910 + 11.8803i 0.0381149 + 0.384035i
\(958\) 29.4938 0.952900
\(959\) 12.1990 20.6442i 0.393925 0.666637i
\(960\) 1.07454 + 3.17752i 0.0346805 + 0.102554i
\(961\) 9.52442 + 29.3132i 0.307239 + 0.945586i
\(962\) −0.852585 + 0.619439i −0.0274884 + 0.0199715i
\(963\) −1.96398 + 1.42691i −0.0632883 + 0.0459816i
\(964\) 4.39569 + 13.5286i 0.141576 + 0.435725i
\(965\) −8.82417 26.0941i −0.284060 0.839997i
\(966\) 9.50389 16.0834i 0.305783 0.517474i
\(967\) −5.56857 −0.179073 −0.0895366 0.995984i \(-0.528539\pi\)
−0.0895366 + 0.995984i \(0.528539\pi\)
\(968\) −1.27653 + 10.9257i −0.0410293 + 0.351165i
\(969\) 1.98153i 0.0636560i
\(970\) −27.2671 + 0.325481i −0.875495 + 0.0104506i
\(971\) 55.5827 + 18.0599i 1.78373 + 0.579570i 0.999180 0.0404922i \(-0.0128926\pi\)
0.784553 + 0.620062i \(0.212893\pi\)
\(972\) 2.34584 + 7.21976i 0.0752430 + 0.231574i
\(973\) 42.1336 37.1727i 1.35074 1.19170i
\(974\) 10.9009 + 15.0038i 0.349288 + 0.480753i
\(975\) −0.0583054 2.44192i −0.00186727 0.0782040i
\(976\) 0.995247 3.06306i 0.0318571 0.0980460i
\(977\) 1.27013 1.74818i 0.0406351 0.0559294i −0.788216 0.615399i \(-0.788995\pi\)
0.828851 + 0.559469i \(0.188995\pi\)
\(978\) 16.1193i 0.515439i
\(979\) 3.26298 + 32.8769i 0.104285 + 1.05075i
\(980\) −10.5696 + 11.5448i −0.337634 + 0.368786i
\(981\) −7.98991 + 10.9972i −0.255098 + 0.351112i
\(982\) −0.239562 0.0778386i −0.00764474 0.00248393i
\(983\) −12.6820 39.0311i −0.404492 1.24490i −0.921318 0.388809i \(-0.872887\pi\)
0.516826 0.856090i \(-0.327113\pi\)
\(984\) −4.93710 + 3.58701i −0.157389 + 0.114350i
\(985\) 0.137373 0.440617i 0.00437707 0.0140392i
\(986\) 0.399237 + 1.22872i 0.0127143 + 0.0391306i
\(987\) 5.54662 24.8561i 0.176551 0.791179i
\(988\) 0.469644 0.646409i 0.0149414 0.0205650i
\(989\) 3.70667i 0.117865i
\(990\) 5.52612 0.615152i 0.175632 0.0195508i
\(991\) −38.7228 −1.23007 −0.615035 0.788499i \(-0.710858\pi\)
−0.615035 + 0.788499i \(0.710858\pi\)
\(992\) 0.248208 0.341629i 0.00788061 0.0108467i
\(993\) −6.69461 + 20.6039i −0.212447 + 0.653845i
\(994\) −5.92246 13.6725i −0.187849 0.433666i
\(995\) −47.5884 14.8368i −1.50865 0.470359i
\(996\) −9.85224 13.5604i −0.312180 0.429679i
\(997\) 24.4555 7.94609i 0.774515 0.251655i 0.105018 0.994470i \(-0.466510\pi\)
0.669496 + 0.742815i \(0.266510\pi\)
\(998\) 6.64170 20.4410i 0.210239 0.647050i
\(999\) 10.6991 14.7260i 0.338504 0.465911i
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 770.2.w.b.139.18 yes 96
5.4 even 2 770.2.w.a.139.7 96
7.6 odd 2 inner 770.2.w.b.139.7 yes 96
11.8 odd 10 770.2.w.a.349.18 yes 96
35.34 odd 2 770.2.w.a.139.18 yes 96
55.19 odd 10 inner 770.2.w.b.349.7 yes 96
77.41 even 10 770.2.w.a.349.7 yes 96
385.349 even 10 inner 770.2.w.b.349.18 yes 96
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
770.2.w.a.139.7 96 5.4 even 2
770.2.w.a.139.18 yes 96 35.34 odd 2
770.2.w.a.349.7 yes 96 77.41 even 10
770.2.w.a.349.18 yes 96 11.8 odd 10
770.2.w.b.139.7 yes 96 7.6 odd 2 inner
770.2.w.b.139.18 yes 96 1.1 even 1 trivial
770.2.w.b.349.7 yes 96 55.19 odd 10 inner
770.2.w.b.349.18 yes 96 385.349 even 10 inner