Properties

Label 920.2.bb.a.11.16
Level $920$
Weight $2$
Character 920.11
Analytic conductor $7.346$
Analytic rank $0$
Dimension $480$
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [920,2,Mod(11,920)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(920, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 0, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("920.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 920 = 2^{3} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 920.bb (of order \(22\), degree \(10\), 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: \(7.34623698596\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 920.11
Dual form 920.2.bb.a.251.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.706408 + 1.22515i) q^{2} +(-0.160633 + 1.11722i) q^{3} +(-1.00198 - 1.73091i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-1.25529 - 0.986015i) q^{6} +(-0.521871 - 0.602271i) q^{7} +(2.82842 - 0.00484018i) q^{8} +(1.65609 + 0.486272i) q^{9} +(0.332629 - 1.37454i) q^{10} +(-1.37486 + 2.13933i) q^{11} +(2.09476 - 0.841391i) q^{12} +(-1.01747 - 0.881643i) q^{13} +(1.10653 - 0.213920i) q^{14} +(-0.160633 - 1.11722i) q^{15} +(-1.99209 + 3.46866i) q^{16} +(-3.68655 + 1.68359i) q^{17} +(-1.76563 + 1.68545i) q^{18} +(-2.96909 - 1.35594i) q^{19} +(1.44904 + 1.37851i) q^{20} +(0.756702 - 0.486303i) q^{21} +(-1.64978 - 3.19565i) q^{22} +(-2.55684 - 4.05741i) q^{23} +(-0.448930 + 3.16076i) q^{24} +(0.841254 - 0.540641i) q^{25} +(1.79889 - 0.623752i) q^{26} +(-2.21595 + 4.85226i) q^{27} +(-0.519575 + 1.50677i) q^{28} +(0.558032 - 0.254845i) q^{29} +(1.48224 + 0.592418i) q^{30} +(-2.22309 + 0.319632i) q^{31} +(-2.84239 - 4.89089i) q^{32} +(-2.16926 - 1.87968i) q^{33} +(0.541560 - 5.70587i) q^{34} +(0.670411 + 0.430847i) q^{35} +(-0.817669 - 3.35377i) q^{36} +(-7.42142 - 2.17913i) q^{37} +(3.75861 - 2.67973i) q^{38} +(1.14843 - 0.995122i) q^{39} +(-2.71249 + 0.801503i) q^{40} +(6.62014 - 1.94385i) q^{41} +(0.0612526 + 1.27060i) q^{42} +(-4.88837 - 0.702842i) q^{43} +(5.08056 + 0.236208i) q^{44} -1.72601 q^{45} +(6.77710 - 0.266319i) q^{46} -11.0489i q^{47} +(-3.55527 - 2.78279i) q^{48} +(0.905823 - 6.30013i) q^{49} +(0.0680968 + 1.41257i) q^{50} +(-1.28877 - 4.38914i) q^{51} +(-0.506564 + 2.64453i) q^{52} +(4.93128 + 5.69100i) q^{53} +(-4.37937 - 6.14254i) q^{54} +(0.716453 - 2.44001i) q^{55} +(-1.47899 - 1.70095i) q^{56} +(1.99182 - 3.09933i) q^{57} +(-0.0819758 + 0.863696i) q^{58} +(-1.44271 + 1.66497i) q^{59} +(-1.77286 + 1.39747i) q^{60} +(-1.09013 - 7.58201i) q^{61} +(1.17881 - 2.94941i) q^{62} +(-0.571398 - 1.25119i) q^{63} +(7.99995 - 0.0273802i) q^{64} +(1.22464 + 0.559276i) q^{65} +(3.83527 - 1.32985i) q^{66} +(-3.78213 - 5.88511i) q^{67} +(6.60797 + 4.69416i) q^{68} +(4.94375 - 2.20481i) q^{69} +(-1.00144 + 0.516999i) q^{70} +(-0.249532 - 0.388279i) q^{71} +(4.68648 + 1.36737i) q^{72} +(-5.91748 + 12.9575i) q^{73} +(7.91230 - 7.55299i) q^{74} +(0.468884 + 1.02671i) q^{75} +(0.627949 + 6.49783i) q^{76} +(2.00596 - 0.288413i) q^{77} +(0.407910 + 2.10996i) q^{78} +(-0.237240 + 0.273790i) q^{79} +(0.934164 - 3.88939i) q^{80} +(-0.709079 - 0.455697i) q^{81} +(-2.29502 + 9.48381i) q^{82} +(-3.91726 + 13.3410i) q^{83} +(-1.59994 - 0.822519i) q^{84} +(3.06290 - 2.65401i) q^{85} +(4.31427 - 5.49249i) q^{86} +(0.195080 + 0.664383i) q^{87} +(-3.87834 + 6.05758i) q^{88} +(1.13611 + 0.163348i) q^{89} +(1.21926 - 2.11461i) q^{90} +1.07290i q^{91} +(-4.46112 + 8.49108i) q^{92} -2.53504i q^{93} +(13.5365 + 7.80502i) q^{94} +(3.23083 + 0.464523i) q^{95} +(5.92081 - 2.38995i) q^{96} +(-3.93730 - 13.4092i) q^{97} +(7.07872 + 5.56023i) q^{98} +(-3.31719 + 2.87436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480 q + 2 q^{2} - 4 q^{4} - 48 q^{5} + 5 q^{6} - q^{8} - 48 q^{9} + 2 q^{10} + 3 q^{12} + 32 q^{16} + 7 q^{18} - 4 q^{20} + 8 q^{21} + 4 q^{23} + 2 q^{24} - 48 q^{25} + 7 q^{26} + 12 q^{27} + 5 q^{30}+ \cdots - 98 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).

\(n\) \(231\) \(281\) \(461\) \(737\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{22}\right)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.706408 + 1.22515i −0.499506 + 0.866310i
\(3\) −0.160633 + 1.11722i −0.0927413 + 0.645030i 0.889434 + 0.457063i \(0.151099\pi\)
−0.982175 + 0.187967i \(0.939810\pi\)
\(4\) −1.00198 1.73091i −0.500988 0.865454i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) −1.25529 0.986015i −0.512471 0.402539i
\(7\) −0.521871 0.602271i −0.197249 0.227637i 0.648505 0.761210i \(-0.275394\pi\)
−0.845754 + 0.533573i \(0.820849\pi\)
\(8\) 2.82842 0.00484018i 0.999999 0.00171126i
\(9\) 1.65609 + 0.486272i 0.552030 + 0.162091i
\(10\) 0.332629 1.37454i 0.105187 0.434667i
\(11\) −1.37486 + 2.13933i −0.414537 + 0.645032i −0.984244 0.176816i \(-0.943420\pi\)
0.569707 + 0.821848i \(0.307057\pi\)
\(12\) 2.09476 0.841391i 0.604706 0.242889i
\(13\) −1.01747 0.881643i −0.282195 0.244524i 0.502249 0.864723i \(-0.332506\pi\)
−0.784444 + 0.620199i \(0.787052\pi\)
\(14\) 1.10653 0.213920i 0.295731 0.0571725i
\(15\) −0.160633 1.11722i −0.0414752 0.288466i
\(16\) −1.99209 + 3.46866i −0.498023 + 0.867164i
\(17\) −3.68655 + 1.68359i −0.894119 + 0.408331i −0.808842 0.588027i \(-0.799905\pi\)
−0.0852778 + 0.996357i \(0.527178\pi\)
\(18\) −1.76563 + 1.68545i −0.416163 + 0.397264i
\(19\) −2.96909 1.35594i −0.681155 0.311073i 0.0446211 0.999004i \(-0.485792\pi\)
−0.725776 + 0.687931i \(0.758519\pi\)
\(20\) 1.44904 + 1.37851i 0.324016 + 0.308243i
\(21\) 0.756702 0.486303i 0.165126 0.106120i
\(22\) −1.64978 3.19565i −0.351734 0.681315i
\(23\) −2.55684 4.05741i −0.533138 0.846028i
\(24\) −0.448930 + 3.16076i −0.0916374 + 0.645188i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) 1.79889 0.623752i 0.352792 0.122328i
\(27\) −2.21595 + 4.85226i −0.426460 + 0.933817i
\(28\) −0.519575 + 1.50677i −0.0981904 + 0.284753i
\(29\) 0.558032 0.254845i 0.103624 0.0473234i −0.362929 0.931817i \(-0.618223\pi\)
0.466553 + 0.884493i \(0.345496\pi\)
\(30\) 1.48224 + 0.592418i 0.270618 + 0.108160i
\(31\) −2.22309 + 0.319632i −0.399279 + 0.0574077i −0.339030 0.940776i \(-0.610099\pi\)
−0.0602494 + 0.998183i \(0.519190\pi\)
\(32\) −2.84239 4.89089i −0.502468 0.864596i
\(33\) −2.16926 1.87968i −0.377620 0.327210i
\(34\) 0.541560 5.70587i 0.0928768 0.978549i
\(35\) 0.670411 + 0.430847i 0.113320 + 0.0728264i
\(36\) −0.817669 3.35377i −0.136278 0.558962i
\(37\) −7.42142 2.17913i −1.22007 0.358246i −0.392579 0.919718i \(-0.628417\pi\)
−0.827496 + 0.561472i \(0.810235\pi\)
\(38\) 3.75861 2.67973i 0.609727 0.434709i
\(39\) 1.14843 0.995122i 0.183896 0.159347i
\(40\) −2.71249 + 0.801503i −0.428882 + 0.126729i
\(41\) 6.62014 1.94385i 1.03389 0.303578i 0.279600 0.960117i \(-0.409798\pi\)
0.754293 + 0.656538i \(0.227980\pi\)
\(42\) 0.0612526 + 1.27060i 0.00945148 + 0.196058i
\(43\) −4.88837 0.702842i −0.745470 0.107182i −0.240896 0.970551i \(-0.577441\pi\)
−0.504574 + 0.863369i \(0.668350\pi\)
\(44\) 5.08056 + 0.236208i 0.765923 + 0.0356097i
\(45\) −1.72601 −0.257298
\(46\) 6.77710 0.266319i 0.999229 0.0392667i
\(47\) 11.0489i 1.61164i −0.592157 0.805822i \(-0.701724\pi\)
0.592157 0.805822i \(-0.298276\pi\)
\(48\) −3.55527 2.78279i −0.513159 0.401661i
\(49\) 0.905823 6.30013i 0.129403 0.900019i
\(50\) 0.0680968 + 1.41257i 0.00963034 + 0.199768i
\(51\) −1.28877 4.38914i −0.180464 0.614603i
\(52\) −0.506564 + 2.64453i −0.0702477 + 0.366731i
\(53\) 4.93128 + 5.69100i 0.677364 + 0.781719i 0.985510 0.169620i \(-0.0542540\pi\)
−0.308146 + 0.951339i \(0.599709\pi\)
\(54\) −4.37937 6.14254i −0.595956 0.835894i
\(55\) 0.716453 2.44001i 0.0966065 0.329011i
\(56\) −1.47899 1.70095i −0.197638 0.227299i
\(57\) 1.99182 3.09933i 0.263823 0.410516i
\(58\) −0.0819758 + 0.863696i −0.0107639 + 0.113409i
\(59\) −1.44271 + 1.66497i −0.187825 + 0.216761i −0.841850 0.539711i \(-0.818533\pi\)
0.654026 + 0.756472i \(0.273079\pi\)
\(60\) −1.77286 + 1.39747i −0.228876 + 0.180413i
\(61\) −1.09013 7.58201i −0.139577 0.970777i −0.932426 0.361360i \(-0.882313\pi\)
0.792850 0.609417i \(-0.208597\pi\)
\(62\) 1.17881 2.94941i 0.149709 0.374575i
\(63\) −0.571398 1.25119i −0.0719894 0.157635i
\(64\) 7.99995 0.0273802i 0.999994 0.00342252i
\(65\) 1.22464 + 0.559276i 0.151898 + 0.0693696i
\(66\) 3.83527 1.32985i 0.472089 0.163693i
\(67\) −3.78213 5.88511i −0.462061 0.718980i 0.529545 0.848282i \(-0.322363\pi\)
−0.991605 + 0.129302i \(0.958726\pi\)
\(68\) 6.60797 + 4.69416i 0.801334 + 0.569251i
\(69\) 4.94375 2.20481i 0.595158 0.265428i
\(70\) −1.00144 + 0.516999i −0.119694 + 0.0617932i
\(71\) −0.249532 0.388279i −0.0296140 0.0460802i 0.826131 0.563478i \(-0.190537\pi\)
−0.855745 + 0.517398i \(0.826901\pi\)
\(72\) 4.68648 + 1.36737i 0.552307 + 0.161146i
\(73\) −5.91748 + 12.9575i −0.692589 + 1.51656i 0.156143 + 0.987735i \(0.450094\pi\)
−0.848732 + 0.528824i \(0.822633\pi\)
\(74\) 7.91230 7.55299i 0.919787 0.878017i
\(75\) 0.468884 + 1.02671i 0.0541421 + 0.118555i
\(76\) 0.627949 + 6.49783i 0.0720307 + 0.745353i
\(77\) 2.00596 0.288413i 0.228600 0.0328677i
\(78\) 0.407910 + 2.10996i 0.0461867 + 0.238906i
\(79\) −0.237240 + 0.273790i −0.0266916 + 0.0308037i −0.768938 0.639323i \(-0.779215\pi\)
0.742247 + 0.670127i \(0.233760\pi\)
\(80\) 0.934164 3.88939i 0.104443 0.434847i
\(81\) −0.709079 0.455697i −0.0787866 0.0506331i
\(82\) −2.29502 + 9.48381i −0.253442 + 1.04731i
\(83\) −3.91726 + 13.3410i −0.429975 + 1.46436i 0.405125 + 0.914261i \(0.367228\pi\)
−0.835100 + 0.550098i \(0.814590\pi\)
\(84\) −1.59994 0.822519i −0.174568 0.0897441i
\(85\) 3.06290 2.65401i 0.332218 0.287868i
\(86\) 4.31427 5.49249i 0.465220 0.592270i
\(87\) 0.195080 + 0.664383i 0.0209148 + 0.0712293i
\(88\) −3.87834 + 6.05758i −0.413432 + 0.645740i
\(89\) 1.13611 + 0.163348i 0.120427 + 0.0173148i 0.202265 0.979331i \(-0.435170\pi\)
−0.0818377 + 0.996646i \(0.526079\pi\)
\(90\) 1.21926 2.11461i 0.128522 0.222900i
\(91\) 1.07290i 0.112470i
\(92\) −4.46112 + 8.49108i −0.465104 + 0.885256i
\(93\) 2.53504i 0.262871i
\(94\) 13.5365 + 7.80502i 1.39618 + 0.805026i
\(95\) 3.23083 + 0.464523i 0.331476 + 0.0476591i
\(96\) 5.92081 2.38995i 0.604290 0.243923i
\(97\) −3.93730 13.4092i −0.399772 1.36150i −0.876057 0.482208i \(-0.839835\pi\)
0.476285 0.879291i \(-0.341983\pi\)
\(98\) 7.07872 + 5.56023i 0.715058 + 0.561668i
\(99\) −3.31719 + 2.87436i −0.333390 + 0.288884i
\(100\) −1.77872 0.914424i −0.177872 0.0914424i
\(101\) 2.45454 8.35941i 0.244236 0.831792i −0.742554 0.669787i \(-0.766386\pi\)
0.986790 0.162006i \(-0.0517963\pi\)
\(102\) 6.28775 + 1.52159i 0.622580 + 0.150660i
\(103\) −9.63822 6.19411i −0.949682 0.610324i −0.0285578 0.999592i \(-0.509091\pi\)
−0.921124 + 0.389269i \(0.872728\pi\)
\(104\) −2.88210 2.48873i −0.282613 0.244040i
\(105\) −0.589043 + 0.679792i −0.0574847 + 0.0663409i
\(106\) −10.4558 + 2.02138i −1.01556 + 0.196334i
\(107\) −9.83435 + 1.41397i −0.950722 + 0.136693i −0.600190 0.799857i \(-0.704908\pi\)
−0.350532 + 0.936551i \(0.613999\pi\)
\(108\) 10.6191 1.02623i 1.02183 0.0987492i
\(109\) −0.962027 2.10655i −0.0921455 0.201771i 0.857947 0.513737i \(-0.171739\pi\)
−0.950093 + 0.311967i \(0.899012\pi\)
\(110\) 2.48327 + 2.60141i 0.236771 + 0.248034i
\(111\) 3.62670 7.94136i 0.344231 0.753760i
\(112\) 3.12869 0.610412i 0.295633 0.0576785i
\(113\) 6.86716 + 10.6855i 0.646009 + 1.00521i 0.997613 + 0.0690600i \(0.0220000\pi\)
−0.351604 + 0.936149i \(0.614364\pi\)
\(114\) 2.39010 + 4.62966i 0.223853 + 0.433608i
\(115\) 3.59637 + 3.17271i 0.335364 + 0.295857i
\(116\) −1.00025 0.710554i −0.0928706 0.0659733i
\(117\) −1.25630 1.95485i −0.116145 0.180726i
\(118\) −1.02070 2.94368i −0.0939629 0.270988i
\(119\) 2.93788 + 1.34169i 0.269315 + 0.122992i
\(120\) −0.459745 3.15921i −0.0419688 0.288395i
\(121\) 1.88309 + 4.12339i 0.171190 + 0.374853i
\(122\) 10.0592 + 4.02042i 0.910714 + 0.363992i
\(123\) 1.10831 + 7.70843i 0.0999325 + 0.695046i
\(124\) 2.78074 + 3.52771i 0.249718 + 0.316797i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) 1.93653 + 0.183802i 0.172520 + 0.0163743i
\(127\) 2.38013 3.70356i 0.211203 0.328638i −0.719448 0.694546i \(-0.755605\pi\)
0.930651 + 0.365908i \(0.119242\pi\)
\(128\) −5.61769 + 9.82047i −0.496538 + 0.868015i
\(129\) 1.57046 5.34851i 0.138272 0.470910i
\(130\) −1.55029 + 1.10529i −0.135970 + 0.0969405i
\(131\) −3.08031 3.55486i −0.269128 0.310590i 0.605058 0.796181i \(-0.293150\pi\)
−0.874186 + 0.485591i \(0.838604\pi\)
\(132\) −1.08000 + 5.63818i −0.0940020 + 0.490741i
\(133\) 0.732839 + 2.49582i 0.0635452 + 0.216415i
\(134\) 9.88185 0.476381i 0.853662 0.0411530i
\(135\) 0.759151 5.28001i 0.0653373 0.454431i
\(136\) −10.4190 + 4.77975i −0.893419 + 0.409860i
\(137\) 18.1281i 1.54879i −0.632704 0.774393i \(-0.718055\pi\)
0.632704 0.774393i \(-0.281945\pi\)
\(138\) −0.791085 + 7.61432i −0.0673416 + 0.648174i
\(139\) 2.54331 0.215720 0.107860 0.994166i \(-0.465600\pi\)
0.107860 + 0.994166i \(0.465600\pi\)
\(140\) 0.0740216 1.59212i 0.00625596 0.134559i
\(141\) 12.3441 + 1.77481i 1.03956 + 0.149466i
\(142\) 0.651971 0.0314299i 0.0547122 0.00263754i
\(143\) 3.28501 0.964565i 0.274706 0.0806609i
\(144\) −4.98579 + 4.77571i −0.415483 + 0.397976i
\(145\) −0.463629 + 0.401737i −0.0385023 + 0.0333625i
\(146\) −11.6947 16.4031i −0.967858 1.35753i
\(147\) 6.89316 + 2.02401i 0.568538 + 0.166938i
\(148\) 3.66421 + 15.0292i 0.301196 + 1.23540i
\(149\) 2.41411 + 1.55145i 0.197771 + 0.127100i 0.635779 0.771872i \(-0.280679\pi\)
−0.438007 + 0.898972i \(0.644316\pi\)
\(150\) −1.58910 0.150826i −0.129749 0.0123149i
\(151\) −8.09874 7.01760i −0.659066 0.571084i 0.259796 0.965664i \(-0.416345\pi\)
−0.918862 + 0.394580i \(0.870890\pi\)
\(152\) −8.40440 3.82079i −0.681686 0.309907i
\(153\) −6.92394 + 0.995513i −0.559768 + 0.0804824i
\(154\) −1.06368 + 2.66133i −0.0857134 + 0.214456i
\(155\) 2.04299 0.933002i 0.164097 0.0749405i
\(156\) −2.87317 0.990744i −0.230037 0.0793230i
\(157\) −8.82159 + 19.3166i −0.704039 + 1.54163i 0.130965 + 0.991387i \(0.458192\pi\)
−0.835004 + 0.550244i \(0.814535\pi\)
\(158\) −0.167844 0.484061i −0.0133530 0.0385098i
\(159\) −7.15025 + 4.59519i −0.567052 + 0.364422i
\(160\) 4.10518 + 3.89198i 0.324543 + 0.307688i
\(161\) −1.10932 + 3.65736i −0.0874268 + 0.288240i
\(162\) 1.05920 0.546818i 0.0832183 0.0429621i
\(163\) −4.95287 + 3.18302i −0.387939 + 0.249313i −0.720043 0.693930i \(-0.755878\pi\)
0.332104 + 0.943243i \(0.392241\pi\)
\(164\) −9.99785 9.51117i −0.780701 0.742698i
\(165\) 2.61096 + 1.19238i 0.203263 + 0.0928270i
\(166\) −13.5775 14.2234i −1.05382 1.10395i
\(167\) −19.4995 + 8.90513i −1.50892 + 0.689100i −0.986526 0.163606i \(-0.947687\pi\)
−0.522392 + 0.852705i \(0.674960\pi\)
\(168\) 2.13792 1.37913i 0.164944 0.106402i
\(169\) −1.59214 11.0736i −0.122472 0.851814i
\(170\) 1.08791 + 5.62732i 0.0834386 + 0.431596i
\(171\) −4.25772 3.68934i −0.325596 0.282131i
\(172\) 3.68147 + 9.16556i 0.280710 + 0.698867i
\(173\) 6.33956 9.86454i 0.481988 0.749987i −0.512058 0.858951i \(-0.671117\pi\)
0.994046 + 0.108963i \(0.0347531\pi\)
\(174\) −0.951774 0.230323i −0.0721538 0.0174607i
\(175\) −0.764638 0.224518i −0.0578012 0.0169720i
\(176\) −4.68174 9.03066i −0.352900 0.680712i
\(177\) −1.62840 1.87928i −0.122398 0.141255i
\(178\) −1.00268 + 1.27651i −0.0751541 + 0.0956785i
\(179\) −9.58476 + 2.81434i −0.716399 + 0.210354i −0.619563 0.784947i \(-0.712690\pi\)
−0.0968356 + 0.995300i \(0.530872\pi\)
\(180\) 1.72942 + 2.98756i 0.128903 + 0.222680i
\(181\) −2.06506 + 14.3628i −0.153495 + 1.06758i 0.756809 + 0.653636i \(0.226757\pi\)
−0.910303 + 0.413942i \(0.864152\pi\)
\(182\) −1.31446 0.757903i −0.0974341 0.0561795i
\(183\) 8.64592 0.639125
\(184\) −7.25146 11.4637i −0.534585 0.845115i
\(185\) 7.73473 0.568669
\(186\) 3.10579 + 1.79077i 0.227728 + 0.131306i
\(187\) 1.46675 10.2014i 0.107259 0.746003i
\(188\) −19.1246 + 11.0707i −1.39481 + 0.807414i
\(189\) 4.07882 1.19765i 0.296690 0.0871161i
\(190\) −2.85139 + 3.63010i −0.206862 + 0.263355i
\(191\) 0.187235 + 0.216080i 0.0135478 + 0.0156350i 0.762483 0.647008i \(-0.223980\pi\)
−0.748935 + 0.662643i \(0.769435\pi\)
\(192\) −1.25446 + 8.94214i −0.0905331 + 0.645344i
\(193\) 19.5876 + 5.75144i 1.40995 + 0.413998i 0.896088 0.443877i \(-0.146397\pi\)
0.513859 + 0.857875i \(0.328216\pi\)
\(194\) 19.2096 + 4.64860i 1.37917 + 0.333750i
\(195\) −0.821554 + 1.27836i −0.0588327 + 0.0915455i
\(196\) −11.8126 + 4.74468i −0.843755 + 0.338906i
\(197\) 5.20472 + 4.50991i 0.370821 + 0.321318i 0.820258 0.571994i \(-0.193830\pi\)
−0.449437 + 0.893312i \(0.648375\pi\)
\(198\) −1.17823 6.09453i −0.0837331 0.433119i
\(199\) 1.82606 + 12.7005i 0.129446 + 0.900314i 0.946258 + 0.323411i \(0.104830\pi\)
−0.816813 + 0.576903i \(0.804261\pi\)
\(200\) 2.37680 1.53323i 0.168065 0.108416i
\(201\) 7.18252 3.28015i 0.506616 0.231364i
\(202\) 8.50761 + 8.91233i 0.598593 + 0.627070i
\(203\) −0.444706 0.203090i −0.0312123 0.0142542i
\(204\) −6.30589 + 6.62855i −0.441501 + 0.464092i
\(205\) −5.80433 + 3.73022i −0.405392 + 0.260530i
\(206\) 14.3972 7.43268i 1.00310 0.517859i
\(207\) −2.26135 7.96276i −0.157175 0.553450i
\(208\) 5.08501 1.77294i 0.352582 0.122931i
\(209\) 6.98288 4.48762i 0.483016 0.310415i
\(210\) −0.416741 1.20187i −0.0287578 0.0829373i
\(211\) −9.37294 + 20.5239i −0.645260 + 1.41292i 0.250382 + 0.968147i \(0.419444\pi\)
−0.895642 + 0.444775i \(0.853284\pi\)
\(212\) 4.90958 14.2378i 0.337192 0.977859i
\(213\) 0.473878 0.216413i 0.0324696 0.0148284i
\(214\) 5.21475 13.0474i 0.356473 0.891900i
\(215\) 4.88837 0.702842i 0.333384 0.0479334i
\(216\) −6.24416 + 13.7350i −0.424861 + 0.934545i
\(217\) 1.35267 + 1.17210i 0.0918254 + 0.0795672i
\(218\) 3.26042 + 0.309455i 0.220823 + 0.0209590i
\(219\) −13.5259 8.69255i −0.913994 0.587388i
\(220\) −4.94131 + 1.20472i −0.333143 + 0.0812222i
\(221\) 5.23528 + 1.53722i 0.352163 + 0.103404i
\(222\) 7.16741 + 10.0531i 0.481045 + 0.674718i
\(223\) −21.4869 + 18.6185i −1.43887 + 1.24679i −0.518876 + 0.854850i \(0.673649\pi\)
−0.919992 + 0.391936i \(0.871805\pi\)
\(224\) −1.46228 + 4.26430i −0.0977030 + 0.284921i
\(225\) 1.65609 0.486272i 0.110406 0.0324181i
\(226\) −17.9424 + 0.864958i −1.19351 + 0.0575362i
\(227\) 11.2948 + 1.62394i 0.749661 + 0.107785i 0.506546 0.862213i \(-0.330922\pi\)
0.243114 + 0.969998i \(0.421831\pi\)
\(228\) −7.36041 0.342204i −0.487455 0.0226630i
\(229\) −20.6566 −1.36503 −0.682514 0.730872i \(-0.739113\pi\)
−0.682514 + 0.730872i \(0.739113\pi\)
\(230\) −6.42755 + 2.16486i −0.423820 + 0.142747i
\(231\) 2.28743i 0.150502i
\(232\) 1.57712 0.723509i 0.103543 0.0475007i
\(233\) 2.79274 19.4239i 0.182958 1.27250i −0.666762 0.745271i \(-0.732320\pi\)
0.849721 0.527233i \(-0.176771\pi\)
\(234\) 3.28244 0.158239i 0.214580 0.0103444i
\(235\) 3.11283 + 10.6013i 0.203059 + 0.691554i
\(236\) 4.32748 + 0.828933i 0.281695 + 0.0539590i
\(237\) −0.267776 0.309030i −0.0173939 0.0200737i
\(238\) −3.71911 + 2.65156i −0.241074 + 0.171875i
\(239\) −5.10580 + 17.3887i −0.330266 + 1.12478i 0.612261 + 0.790656i \(0.290260\pi\)
−0.942528 + 0.334129i \(0.891558\pi\)
\(240\) 4.19526 + 1.66843i 0.270803 + 0.107697i
\(241\) −0.341770 + 0.531805i −0.0220154 + 0.0342566i −0.852087 0.523400i \(-0.824663\pi\)
0.830071 + 0.557657i \(0.188300\pi\)
\(242\) −6.38199 0.605733i −0.410250 0.0389380i
\(243\) −9.85667 + 11.3752i −0.632305 + 0.729719i
\(244\) −12.0315 + 9.48390i −0.770237 + 0.607145i
\(245\) 0.905823 + 6.30013i 0.0578709 + 0.402501i
\(246\) −10.2269 4.08746i −0.652042 0.260607i
\(247\) 1.82551 + 3.99730i 0.116154 + 0.254342i
\(248\) −6.28630 + 0.914816i −0.399180 + 0.0580908i
\(249\) −14.2756 6.51945i −0.904679 0.413153i
\(250\) −0.463306 1.33617i −0.0293021 0.0845067i
\(251\) 6.90785 + 10.7488i 0.436019 + 0.678459i 0.987835 0.155507i \(-0.0497011\pi\)
−0.551815 + 0.833966i \(0.686065\pi\)
\(252\) −1.59316 + 2.24270i −0.100360 + 0.141277i
\(253\) 12.1954 + 0.108464i 0.766720 + 0.00681905i
\(254\) 2.85606 + 5.53224i 0.179205 + 0.347123i
\(255\) 2.47313 + 3.84826i 0.154873 + 0.240988i
\(256\) −8.06315 13.8198i −0.503947 0.863735i
\(257\) 1.55918 3.41413i 0.0972591 0.212968i −0.854748 0.519043i \(-0.826289\pi\)
0.952007 + 0.306075i \(0.0990158\pi\)
\(258\) 5.44333 + 5.70228i 0.338887 + 0.355009i
\(259\) 2.56060 + 5.60693i 0.159108 + 0.348398i
\(260\) −0.259007 2.68013i −0.0160629 0.166214i
\(261\) 1.04807 0.150690i 0.0648742 0.00932750i
\(262\) 6.53118 1.26265i 0.403498 0.0780066i
\(263\) −7.99337 + 9.22484i −0.492892 + 0.568828i −0.946636 0.322304i \(-0.895543\pi\)
0.453744 + 0.891132i \(0.350088\pi\)
\(264\) −6.14469 5.30602i −0.378179 0.326563i
\(265\) −6.33487 4.07117i −0.389148 0.250090i
\(266\) −3.57543 0.865231i −0.219224 0.0530507i
\(267\) −0.364992 + 1.24305i −0.0223371 + 0.0760733i
\(268\) −6.39698 + 12.4433i −0.390758 + 0.760093i
\(269\) −0.866558 + 0.750877i −0.0528350 + 0.0457818i −0.680878 0.732397i \(-0.738402\pi\)
0.628043 + 0.778179i \(0.283856\pi\)
\(270\) 5.93252 + 4.65991i 0.361042 + 0.283593i
\(271\) 2.55134 + 8.68906i 0.154983 + 0.527823i 0.999976 0.00695443i \(-0.00221368\pi\)
−0.844993 + 0.534777i \(0.820395\pi\)
\(272\) 1.50414 16.1412i 0.0912021 0.978706i
\(273\) −1.19867 0.172342i −0.0725466 0.0104306i
\(274\) 22.2096 + 12.8058i 1.34173 + 0.773628i
\(275\) 2.54302i 0.153350i
\(276\) −8.76984 6.34801i −0.527883 0.382106i
\(277\) 16.5426i 0.993947i 0.867766 + 0.496974i \(0.165555\pi\)
−0.867766 + 0.496974i \(0.834445\pi\)
\(278\) −1.79661 + 3.11593i −0.107754 + 0.186881i
\(279\) −3.83707 0.551687i −0.229719 0.0330287i
\(280\) 1.89829 + 1.21537i 0.113445 + 0.0726324i
\(281\) −0.383883 1.30738i −0.0229005 0.0779920i 0.947250 0.320496i \(-0.103850\pi\)
−0.970150 + 0.242504i \(0.922031\pi\)
\(282\) −10.8944 + 13.8696i −0.648750 + 0.825922i
\(283\) 9.51219 8.24236i 0.565441 0.489957i −0.324592 0.945854i \(-0.605227\pi\)
0.890033 + 0.455897i \(0.150681\pi\)
\(284\) −0.422051 + 0.820963i −0.0250441 + 0.0487152i
\(285\) −1.03795 + 3.53494i −0.0614830 + 0.209392i
\(286\) −1.13882 + 4.70599i −0.0673398 + 0.278271i
\(287\) −4.62559 2.97268i −0.273040 0.175472i
\(288\) −2.32895 9.48194i −0.137235 0.558728i
\(289\) −0.376467 + 0.434466i −0.0221451 + 0.0255568i
\(290\) −0.164676 0.851805i −0.00967011 0.0500197i
\(291\) 15.6136 2.24489i 0.915283 0.131598i
\(292\) 28.3574 2.74045i 1.65949 0.160373i
\(293\) 5.85468 + 12.8200i 0.342034 + 0.748951i 0.999992 0.00410456i \(-0.00130653\pi\)
−0.657957 + 0.753055i \(0.728579\pi\)
\(294\) −7.34910 + 7.01536i −0.428608 + 0.409144i
\(295\) 0.915191 2.00399i 0.0532845 0.116677i
\(296\) −21.0015 6.12757i −1.22069 0.356158i
\(297\) −7.33394 11.4118i −0.425558 0.662182i
\(298\) −3.60610 + 1.86168i −0.208896 + 0.107844i
\(299\) −0.975679 + 6.38251i −0.0564250 + 0.369110i
\(300\) 1.30734 1.84034i 0.0754792 0.106252i
\(301\) 2.12780 + 3.31092i 0.122644 + 0.190838i
\(302\) 14.3186 4.96487i 0.823944 0.285696i
\(303\) 8.94506 + 4.08507i 0.513880 + 0.234681i
\(304\) 10.6180 7.59759i 0.608982 0.435752i
\(305\) 3.18207 + 6.96776i 0.182205 + 0.398973i
\(306\) 3.67148 9.18609i 0.209884 0.525134i
\(307\) −2.24708 15.6288i −0.128248 0.891983i −0.947774 0.318942i \(-0.896673\pi\)
0.819526 0.573041i \(-0.194237\pi\)
\(308\) −2.50914 3.18315i −0.142971 0.181377i
\(309\) 8.46842 9.77308i 0.481752 0.555971i
\(310\) −0.300119 + 3.16205i −0.0170456 + 0.179592i
\(311\) 4.85586 7.55586i 0.275350 0.428453i −0.675845 0.737044i \(-0.736221\pi\)
0.951195 + 0.308591i \(0.0998573\pi\)
\(312\) 3.24344 2.82018i 0.183623 0.159662i
\(313\) −4.79970 + 16.3463i −0.271295 + 0.923946i 0.705309 + 0.708900i \(0.250808\pi\)
−0.976604 + 0.215046i \(0.931010\pi\)
\(314\) −17.4340 24.4531i −0.983859 1.37997i
\(315\) 0.900753 + 1.03952i 0.0507517 + 0.0585705i
\(316\) 0.711613 + 0.136310i 0.0400314 + 0.00766806i
\(317\) 1.00213 + 3.41294i 0.0562851 + 0.191690i 0.982837 0.184479i \(-0.0590597\pi\)
−0.926551 + 0.376168i \(0.877241\pi\)
\(318\) −0.578790 12.0062i −0.0324569 0.673274i
\(319\) −0.222021 + 1.54419i −0.0124308 + 0.0864580i
\(320\) −7.66818 + 2.28012i −0.428665 + 0.127462i
\(321\) 11.2143i 0.625921i
\(322\) −3.69717 3.94267i −0.206035 0.219716i
\(323\) 13.2285 0.736055
\(324\) −0.0782910 + 1.68395i −0.00434950 + 0.0935527i
\(325\) −1.33260 0.191599i −0.0739195 0.0106280i
\(326\) −0.400919 8.31651i −0.0222048 0.460609i
\(327\) 2.50802 0.736421i 0.138694 0.0407242i
\(328\) 18.7152 5.53007i 1.03337 0.305347i
\(329\) −6.65442 + 5.76609i −0.366870 + 0.317895i
\(330\) −3.30525 + 2.35650i −0.181948 + 0.129721i
\(331\) 19.4760 + 5.71868i 1.07050 + 0.314327i 0.769072 0.639162i \(-0.220719\pi\)
0.301428 + 0.953489i \(0.402537\pi\)
\(332\) 27.0170 6.58689i 1.48275 0.361503i
\(333\) −11.2309 7.21766i −0.615450 0.395525i
\(334\) 2.86451 30.1804i 0.156739 1.65140i
\(335\) 5.28695 + 4.58117i 0.288857 + 0.250296i
\(336\) 0.179398 + 3.59350i 0.00978697 + 0.196041i
\(337\) 4.71855 0.678425i 0.257036 0.0369562i −0.0125922 0.999921i \(-0.504008\pi\)
0.269628 + 0.962965i \(0.413099\pi\)
\(338\) 14.6915 + 5.87186i 0.799111 + 0.319387i
\(339\) −13.0412 + 5.95572i −0.708302 + 0.323470i
\(340\) −7.66280 2.64234i −0.415574 0.143301i
\(341\) 2.37265 5.19537i 0.128486 0.281345i
\(342\) 7.52767 2.61016i 0.407050 0.141141i
\(343\) −8.95999 + 5.75824i −0.483794 + 0.310916i
\(344\) −13.8298 1.96427i −0.745652 0.105907i
\(345\) −4.12233 + 3.50832i −0.221939 + 0.188881i
\(346\) 7.60721 + 14.7353i 0.408966 + 0.792174i
\(347\) 23.6479 15.1976i 1.26949 0.815850i 0.279935 0.960019i \(-0.409687\pi\)
0.989553 + 0.144169i \(0.0460507\pi\)
\(348\) 0.954521 1.00336i 0.0511677 0.0537858i
\(349\) −22.9320 10.4727i −1.22752 0.560591i −0.307161 0.951658i \(-0.599379\pi\)
−0.920362 + 0.391067i \(0.872106\pi\)
\(350\) 0.815215 0.778194i 0.0435751 0.0415962i
\(351\) 6.53262 2.98335i 0.348686 0.159239i
\(352\) 14.3711 + 0.643505i 0.765983 + 0.0342989i
\(353\) 0.708132 + 4.92516i 0.0376900 + 0.262140i 0.999950 0.00999160i \(-0.00318048\pi\)
−0.962260 + 0.272132i \(0.912271\pi\)
\(354\) 3.45271 0.667498i 0.183510 0.0354771i
\(355\) 0.348815 + 0.302250i 0.0185132 + 0.0160418i
\(356\) −0.855612 2.13017i −0.0453473 0.112899i
\(357\) −1.97088 + 3.06676i −0.104310 + 0.162310i
\(358\) 3.32277 13.7308i 0.175614 0.725697i
\(359\) 18.3357 + 5.38386i 0.967723 + 0.284149i 0.727148 0.686481i \(-0.240846\pi\)
0.240576 + 0.970630i \(0.422664\pi\)
\(360\) −4.88188 + 0.00835419i −0.257297 + 0.000440304i
\(361\) −5.46544 6.30746i −0.287655 0.331971i
\(362\) −16.1378 12.6760i −0.848182 0.666235i
\(363\) −4.90924 + 1.44148i −0.257668 + 0.0756582i
\(364\) 1.85709 1.07502i 0.0973378 0.0563462i
\(365\) 2.02724 14.0998i 0.106111 0.738015i
\(366\) −6.10755 + 10.5925i −0.319247 + 0.553681i
\(367\) −10.0965 −0.527033 −0.263517 0.964655i \(-0.584882\pi\)
−0.263517 + 0.964655i \(0.584882\pi\)
\(368\) 19.1672 0.786066i 0.999160 0.0409765i
\(369\) 11.9088 0.619947
\(370\) −5.46388 + 9.47619i −0.284053 + 0.492644i
\(371\) 0.854034 5.93994i 0.0443392 0.308386i
\(372\) −4.38792 + 2.54004i −0.227503 + 0.131695i
\(373\) 16.0172 4.70306i 0.829337 0.243515i 0.160605 0.987019i \(-0.448655\pi\)
0.668732 + 0.743503i \(0.266837\pi\)
\(374\) 11.4622 + 9.00336i 0.592694 + 0.465553i
\(375\) −0.739150 0.853025i −0.0381695 0.0440500i
\(376\) −0.0534786 31.2509i −0.00275795 1.61164i
\(377\) −0.792462 0.232688i −0.0408139 0.0119840i
\(378\) −1.41401 + 5.84318i −0.0727289 + 0.300541i
\(379\) 5.72234 8.90414i 0.293937 0.457375i −0.662605 0.748969i \(-0.730549\pi\)
0.956542 + 0.291594i \(0.0941856\pi\)
\(380\) −2.43316 6.05771i −0.124819 0.310754i
\(381\) 3.75538 + 3.25406i 0.192394 + 0.166710i
\(382\) −0.396994 + 0.0767493i −0.0203120 + 0.00392683i
\(383\) −1.07342 7.46579i −0.0548491 0.381484i −0.998694 0.0510945i \(-0.983729\pi\)
0.943845 0.330389i \(-0.107180\pi\)
\(384\) −10.0693 7.85371i −0.513846 0.400783i
\(385\) −1.84345 + 0.841874i −0.0939507 + 0.0429059i
\(386\) −20.8832 + 19.9348i −1.06293 + 1.01466i
\(387\) −7.75382 3.54105i −0.394149 0.180002i
\(388\) −19.2650 + 20.2508i −0.978035 + 1.02808i
\(389\) 8.71387 5.60006i 0.441811 0.283934i −0.300763 0.953699i \(-0.597241\pi\)
0.742574 + 0.669764i \(0.233605\pi\)
\(390\) −0.985832 1.90957i −0.0499195 0.0966949i
\(391\) 16.2569 + 10.6532i 0.822148 + 0.538754i
\(392\) 2.53156 17.8238i 0.127863 0.900239i
\(393\) 4.46638 2.87037i 0.225299 0.144791i
\(394\) −9.20197 + 3.19071i −0.463588 + 0.160746i
\(395\) 0.150495 0.329537i 0.00757221 0.0165808i
\(396\) 8.29901 + 2.86172i 0.417041 + 0.143807i
\(397\) −10.9099 + 4.98236i −0.547550 + 0.250058i −0.669928 0.742426i \(-0.733675\pi\)
0.122378 + 0.992484i \(0.460948\pi\)
\(398\) −16.8499 6.73454i −0.844610 0.337572i
\(399\) −2.90611 + 0.417835i −0.145487 + 0.0209179i
\(400\) 0.199444 + 3.99502i 0.00997218 + 0.199751i
\(401\) 18.8398 + 16.3248i 0.940815 + 0.815221i 0.982947 0.183892i \(-0.0588695\pi\)
−0.0421319 + 0.999112i \(0.513415\pi\)
\(402\) −1.05512 + 11.1168i −0.0526248 + 0.554454i
\(403\) 2.54373 + 1.63476i 0.126712 + 0.0814330i
\(404\) −16.9288 + 4.12733i −0.842238 + 0.205342i
\(405\) 0.808741 + 0.237468i 0.0401867 + 0.0117999i
\(406\) 0.562960 0.401366i 0.0279392 0.0199195i
\(407\) 14.8653 12.8809i 0.736846 0.638480i
\(408\) −3.66643 12.4081i −0.181515 0.614293i
\(409\) 19.8291 5.82236i 0.980488 0.287897i 0.248062 0.968744i \(-0.420206\pi\)
0.732426 + 0.680847i \(0.238388\pi\)
\(410\) −0.469842 9.74623i −0.0232039 0.481332i
\(411\) 20.2531 + 2.91196i 0.999014 + 0.143637i
\(412\) −1.06418 + 22.8892i −0.0524283 + 1.12767i
\(413\) 1.75567 0.0863910
\(414\) 11.3530 + 2.85447i 0.557969 + 0.140289i
\(415\) 13.9042i 0.682529i
\(416\) −1.41998 + 7.48231i −0.0696200 + 0.366850i
\(417\) −0.408538 + 2.84144i −0.0200062 + 0.139146i
\(418\) 0.565242 + 11.7252i 0.0276469 + 0.573496i
\(419\) 2.82584 + 9.62393i 0.138051 + 0.470160i 0.999275 0.0380660i \(-0.0121197\pi\)
−0.861224 + 0.508226i \(0.830302\pi\)
\(420\) 1.76686 + 0.338445i 0.0862141 + 0.0165144i
\(421\) −0.565838 0.653012i −0.0275773 0.0318259i 0.741793 0.670628i \(-0.233976\pi\)
−0.769371 + 0.638803i \(0.779430\pi\)
\(422\) −18.5237 25.9815i −0.901718 1.26476i
\(423\) 5.37276 18.2980i 0.261233 0.889677i
\(424\) 13.9753 + 16.0727i 0.678700 + 0.780559i
\(425\) −2.19110 + 3.40943i −0.106284 + 0.165381i
\(426\) −0.0696135 + 0.733446i −0.00337278 + 0.0355356i
\(427\) −3.99752 + 4.61339i −0.193454 + 0.223257i
\(428\) 12.3012 + 15.6056i 0.594602 + 0.754325i
\(429\) 0.549956 + 3.82503i 0.0265521 + 0.184674i
\(430\) −2.59210 + 6.48547i −0.125002 + 0.312757i
\(431\) −1.26019 2.75943i −0.0607011 0.132917i 0.876850 0.480763i \(-0.159640\pi\)
−0.937552 + 0.347846i \(0.886913\pi\)
\(432\) −12.4164 17.3525i −0.597386 0.834873i
\(433\) −20.4604 9.34396i −0.983265 0.449042i −0.142118 0.989850i \(-0.545391\pi\)
−0.841146 + 0.540808i \(0.818119\pi\)
\(434\) −2.39153 + 0.829245i −0.114797 + 0.0398050i
\(435\) −0.374357 0.582510i −0.0179490 0.0279292i
\(436\) −2.68231 + 3.77589i −0.128459 + 0.180832i
\(437\) 2.08989 + 15.5137i 0.0999728 + 0.742121i
\(438\) 20.2045 10.4307i 0.965406 0.498399i
\(439\) −3.52377 5.48310i −0.168181 0.261694i 0.746925 0.664908i \(-0.231529\pi\)
−0.915106 + 0.403214i \(0.867893\pi\)
\(440\) 2.01462 6.90486i 0.0960433 0.329176i
\(441\) 4.56370 9.99312i 0.217319 0.475863i
\(442\) −5.58156 + 5.32809i −0.265488 + 0.253431i
\(443\) −4.78067 10.4682i −0.227137 0.497360i 0.761411 0.648270i \(-0.224507\pi\)
−0.988548 + 0.150910i \(0.951780\pi\)
\(444\) −17.3796 + 1.67956i −0.824800 + 0.0797085i
\(445\) −1.13611 + 0.163348i −0.0538567 + 0.00774342i
\(446\) −7.63190 39.4769i −0.361381 1.86928i
\(447\) −2.12111 + 2.44789i −0.100325 + 0.115781i
\(448\) −4.19143 4.80385i −0.198027 0.226961i
\(449\) 29.5555 + 18.9941i 1.39481 + 0.896389i 0.999752 0.0222673i \(-0.00708847\pi\)
0.395057 + 0.918657i \(0.370725\pi\)
\(450\) −0.574121 + 2.37246i −0.0270643 + 0.111839i
\(451\) −4.94326 + 16.8352i −0.232769 + 0.792738i
\(452\) 11.6149 22.5931i 0.546320 1.06269i
\(453\) 9.14116 7.92086i 0.429489 0.372154i
\(454\) −9.96829 + 12.6906i −0.467835 + 0.595600i
\(455\) −0.302270 1.02944i −0.0141706 0.0482608i
\(456\) 5.61870 8.77585i 0.263120 0.410967i
\(457\) −22.1957 3.19126i −1.03827 0.149281i −0.397966 0.917400i \(-0.630284\pi\)
−0.640307 + 0.768119i \(0.721193\pi\)
\(458\) 14.5920 25.3074i 0.681840 1.18254i
\(459\) 21.6188i 1.00908i
\(460\) 1.88820 9.40397i 0.0880376 0.438463i
\(461\) 11.7247i 0.546076i 0.962003 + 0.273038i \(0.0880284\pi\)
−0.962003 + 0.273038i \(0.911972\pi\)
\(462\) −2.80244 1.61586i −0.130382 0.0751767i
\(463\) 35.1799 + 5.05811i 1.63495 + 0.235070i 0.897719 0.440569i \(-0.145223\pi\)
0.737232 + 0.675640i \(0.236133\pi\)
\(464\) −0.227682 + 2.44329i −0.0105699 + 0.113427i
\(465\) 0.714202 + 2.43235i 0.0331203 + 0.112798i
\(466\) 21.8244 + 17.1427i 1.01099 + 0.794122i
\(467\) −20.4108 + 17.6861i −0.944500 + 0.818414i −0.983515 0.180825i \(-0.942123\pi\)
0.0390154 + 0.999239i \(0.487578\pi\)
\(468\) −2.12488 + 4.13326i −0.0982225 + 0.191060i
\(469\) −1.57065 + 5.34914i −0.0725258 + 0.247000i
\(470\) −15.1871 3.67518i −0.700530 0.169524i
\(471\) −20.1639 12.9586i −0.929105 0.597099i
\(472\) −4.07253 + 4.71623i −0.187453 + 0.217082i
\(473\) 8.22445 9.49152i 0.378161 0.436421i
\(474\) 0.567767 0.109764i 0.0260784 0.00504163i
\(475\) −3.23083 + 0.464523i −0.148241 + 0.0213138i
\(476\) −0.621349 6.42954i −0.0284795 0.294698i
\(477\) 5.39927 + 11.8228i 0.247216 + 0.541327i
\(478\) −17.6970 18.5389i −0.809442 0.847950i
\(479\) 3.13699 6.86905i 0.143333 0.313855i −0.824327 0.566114i \(-0.808446\pi\)
0.967660 + 0.252259i \(0.0811735\pi\)
\(480\) −5.00765 + 3.96122i −0.228567 + 0.180804i
\(481\) 5.62986 + 8.76024i 0.256700 + 0.399433i
\(482\) −0.410111 0.794391i −0.0186800 0.0361835i
\(483\) −3.90789 1.82685i −0.177815 0.0831246i
\(484\) 5.25040 7.39099i 0.238655 0.335954i
\(485\) 7.55562 + 11.7568i 0.343083 + 0.533848i
\(486\) −6.97347 20.1114i −0.316323 0.912272i
\(487\) −3.24927 1.48389i −0.147238 0.0672416i 0.340433 0.940269i \(-0.389426\pi\)
−0.487671 + 0.873027i \(0.662154\pi\)
\(488\) −3.12004 21.4399i −0.141238 0.970537i
\(489\) −2.76055 6.04476i −0.124836 0.273354i
\(490\) −8.35848 3.34070i −0.377598 0.150917i
\(491\) −5.91713 41.1546i −0.267037 1.85728i −0.476118 0.879382i \(-0.657956\pi\)
0.209081 0.977898i \(-0.432953\pi\)
\(492\) 12.2321 9.64203i 0.551466 0.434696i
\(493\) −1.62816 + 1.87899i −0.0733285 + 0.0846256i
\(494\) −6.18683 0.587210i −0.278359 0.0264198i
\(495\) 2.37302 3.69249i 0.106659 0.165965i
\(496\) 3.31991 8.34788i 0.149068 0.374831i
\(497\) −0.103626 + 0.352917i −0.00464826 + 0.0158305i
\(498\) 18.0717 12.8843i 0.809812 0.577361i
\(499\) −9.12998 10.5366i −0.408714 0.471681i 0.513652 0.857999i \(-0.328292\pi\)
−0.922366 + 0.386318i \(0.873747\pi\)
\(500\) 1.96429 + 0.376262i 0.0878456 + 0.0168269i
\(501\) −6.81677 23.2158i −0.304551 1.03721i
\(502\) −18.0487 + 0.870082i −0.805551 + 0.0388337i
\(503\) −4.53797 + 31.5623i −0.202338 + 1.40729i 0.594984 + 0.803738i \(0.297159\pi\)
−0.797322 + 0.603555i \(0.793751\pi\)
\(504\) −1.62221 3.53612i −0.0722590 0.157511i
\(505\) 8.71232i 0.387693i
\(506\) −8.74784 + 14.8646i −0.388889 + 0.660812i
\(507\) 12.6274 0.560804
\(508\) −8.79536 0.408918i −0.390231 0.0181428i
\(509\) −21.8448 3.14080i −0.968252 0.139214i −0.359996 0.932954i \(-0.617222\pi\)
−0.608257 + 0.793740i \(0.708131\pi\)
\(510\) −6.46173 + 0.311505i −0.286130 + 0.0137937i
\(511\) 10.8921 3.19820i 0.481837 0.141480i
\(512\) 22.6271 0.116164i 0.999987 0.00513377i
\(513\) 13.1587 11.4021i 0.580971 0.503414i
\(514\) 3.08140 + 4.32200i 0.135915 + 0.190635i
\(515\) 10.9929 + 3.22780i 0.484404 + 0.142234i
\(516\) −10.8314 + 2.64075i −0.476824 + 0.116252i
\(517\) 23.6372 + 15.1907i 1.03956 + 0.668086i
\(518\) −8.67815 0.823668i −0.381296 0.0361899i
\(519\) 10.0026 + 8.66728i 0.439064 + 0.380451i
\(520\) 3.46652 + 1.57594i 0.152017 + 0.0691096i
\(521\) −18.0654 + 2.59741i −0.791458 + 0.113794i −0.526175 0.850376i \(-0.676374\pi\)
−0.265283 + 0.964171i \(0.585465\pi\)
\(522\) −0.555750 + 1.39050i −0.0243245 + 0.0608603i
\(523\) 2.89540 1.32229i 0.126607 0.0578195i −0.351104 0.936336i \(-0.614194\pi\)
0.477711 + 0.878517i \(0.341466\pi\)
\(524\) −3.06675 + 8.89361i −0.133972 + 0.388519i
\(525\) 0.373663 0.818208i 0.0163080 0.0357095i
\(526\) −5.65521 16.3096i −0.246579 0.711131i
\(527\) 7.65741 4.92112i 0.333562 0.214367i
\(528\) 10.8413 3.77994i 0.471808 0.164501i
\(529\) −9.92515 + 20.7483i −0.431528 + 0.902099i
\(530\) 9.46279 4.88524i 0.411037 0.212201i
\(531\) −3.19889 + 2.05580i −0.138820 + 0.0892141i
\(532\) 3.58575 3.76923i 0.155462 0.163417i
\(533\) −8.44958 3.85879i −0.365992 0.167143i
\(534\) −1.26508 1.32527i −0.0547456 0.0573500i
\(535\) 9.03763 4.12735i 0.390731 0.178441i
\(536\) −10.7259 16.6273i −0.463290 0.718189i
\(537\) −1.60462 11.1604i −0.0692447 0.481607i
\(538\) −0.307792 1.59209i −0.0132698 0.0686397i
\(539\) 12.2327 + 10.5997i 0.526898 + 0.456560i
\(540\) −9.89987 + 3.97642i −0.426022 + 0.171118i
\(541\) 15.4889 24.1012i 0.665919 1.03619i −0.329826 0.944042i \(-0.606990\pi\)
0.995745 0.0921486i \(-0.0293735\pi\)
\(542\) −12.4477 3.01226i −0.534673 0.129387i
\(543\) −15.7147 4.61427i −0.674384 0.198017i
\(544\) 18.7129 + 13.2451i 0.802307 + 0.567879i
\(545\) 1.51654 + 1.75018i 0.0649615 + 0.0749696i
\(546\) 1.05789 1.34680i 0.0452736 0.0576377i
\(547\) 29.7241 8.72779i 1.27091 0.373174i 0.424367 0.905490i \(-0.360497\pi\)
0.846545 + 0.532317i \(0.178678\pi\)
\(548\) −31.3781 + 18.1639i −1.34040 + 0.775923i
\(549\) 1.88157 13.0866i 0.0803034 0.558522i
\(550\) −3.11558 1.79641i −0.132849 0.0765993i
\(551\) −2.00240 −0.0853050
\(552\) 13.9723 6.26007i 0.594702 0.266446i
\(553\) 0.288704 0.0122770
\(554\) −20.2671 11.6858i −0.861067 0.496483i
\(555\) −1.24245 + 8.64143i −0.0527391 + 0.366808i
\(556\) −2.54833 4.40223i −0.108073 0.186696i
\(557\) −24.7943 + 7.28027i −1.05057 + 0.308475i −0.761047 0.648697i \(-0.775314\pi\)
−0.289522 + 0.957171i \(0.593496\pi\)
\(558\) 3.38644 4.31126i 0.143359 0.182510i
\(559\) 4.35412 + 5.02492i 0.184160 + 0.212531i
\(560\) −2.82998 + 1.46714i −0.119588 + 0.0619979i
\(561\) 11.1617 + 3.27737i 0.471247 + 0.138371i
\(562\) 1.87292 + 0.453234i 0.0790043 + 0.0191185i
\(563\) 13.7730 21.4311i 0.580461 0.903215i −0.419529 0.907742i \(-0.637805\pi\)
0.999990 + 0.00452735i \(0.00144111\pi\)
\(564\) −9.29643 23.1448i −0.391450 0.974572i
\(565\) −9.59945 8.31797i −0.403852 0.349940i
\(566\) 3.37862 + 17.4763i 0.142014 + 0.734584i
\(567\) 0.0955944 + 0.664873i 0.00401459 + 0.0279221i
\(568\) −0.707661 1.09701i −0.0296928 0.0460295i
\(569\) −12.2882 + 5.61184i −0.515149 + 0.235261i −0.655987 0.754772i \(-0.727747\pi\)
0.140838 + 0.990033i \(0.455020\pi\)
\(570\) −3.59761 3.76876i −0.150687 0.157856i
\(571\) −12.6337 5.76963i −0.528705 0.241451i 0.133133 0.991098i \(-0.457496\pi\)
−0.661838 + 0.749647i \(0.730223\pi\)
\(572\) −4.96107 4.71957i −0.207433 0.197335i
\(573\) −0.271486 + 0.174474i −0.0113415 + 0.00728874i
\(574\) 6.90953 3.56710i 0.288398 0.148888i
\(575\) −4.34455 2.03098i −0.181180 0.0846977i
\(576\) 13.2620 + 3.84481i 0.552582 + 0.160200i
\(577\) −17.8074 + 11.4441i −0.741331 + 0.476424i −0.855998 0.516980i \(-0.827056\pi\)
0.114667 + 0.993404i \(0.463420\pi\)
\(578\) −0.266346 0.768138i −0.0110785 0.0319503i
\(579\) −9.57206 + 20.9599i −0.397801 + 0.871063i
\(580\) 1.15992 + 0.399970i 0.0481629 + 0.0166078i
\(581\) 10.0792 4.60301i 0.418155 0.190965i
\(582\) −8.27922 + 20.7147i −0.343185 + 0.858653i
\(583\) −18.9548 + 2.72528i −0.785026 + 0.112870i
\(584\) −16.6744 + 36.6779i −0.689993 + 1.51774i
\(585\) 1.75616 + 1.52172i 0.0726083 + 0.0629154i
\(586\) −19.8422 1.88328i −0.819672 0.0777974i
\(587\) −27.5828 17.7264i −1.13846 0.731646i −0.171153 0.985244i \(-0.554749\pi\)
−0.967309 + 0.253599i \(0.918386\pi\)
\(588\) −3.40339 13.9594i −0.140354 0.575678i
\(589\) 7.03395 + 2.06535i 0.289829 + 0.0851015i
\(590\) 1.80868 + 2.53688i 0.0744623 + 0.104442i
\(591\) −5.87463 + 5.09040i −0.241650 + 0.209391i
\(592\) 22.3428 21.4013i 0.918283 0.879590i
\(593\) 33.6141 9.86999i 1.38037 0.405312i 0.494469 0.869195i \(-0.335362\pi\)
0.885896 + 0.463883i \(0.153544\pi\)
\(594\) 19.1619 0.923751i 0.786224 0.0379020i
\(595\) −3.19687 0.459641i −0.131059 0.0188434i
\(596\) 0.266547 5.73312i 0.0109182 0.234838i
\(597\) −14.4826 −0.592735
\(598\) −7.13030 5.70401i −0.291579 0.233254i
\(599\) 19.9299i 0.814312i 0.913359 + 0.407156i \(0.133479\pi\)
−0.913359 + 0.407156i \(0.866521\pi\)
\(600\) 1.33117 + 2.90171i 0.0543449 + 0.118462i
\(601\) −3.51931 + 24.4774i −0.143556 + 0.998452i 0.782927 + 0.622114i \(0.213726\pi\)
−0.926482 + 0.376338i \(0.877183\pi\)
\(602\) −5.55946 + 0.268008i −0.226587 + 0.0109232i
\(603\) −3.40179 11.5854i −0.138531 0.471795i
\(604\) −4.03209 + 21.0496i −0.164063 + 0.856498i
\(605\) −2.96850 3.42583i −0.120687 0.139280i
\(606\) −11.3237 + 8.07329i −0.459993 + 0.327955i
\(607\) 11.6338 39.6209i 0.472199 1.60816i −0.287426 0.957803i \(-0.592800\pi\)
0.759626 0.650361i \(-0.225382\pi\)
\(608\) 1.80756 + 18.3756i 0.0733061 + 0.745228i
\(609\) 0.298332 0.464214i 0.0120890 0.0188109i
\(610\) −10.7844 1.02358i −0.436647 0.0414434i
\(611\) −9.74117 + 11.2419i −0.394085 + 0.454799i
\(612\) 8.66076 + 10.9872i 0.350091 + 0.444133i
\(613\) −0.105625 0.734641i −0.00426617 0.0296719i 0.987577 0.157135i \(-0.0502257\pi\)
−0.991843 + 0.127463i \(0.959317\pi\)
\(614\) 20.7350 + 8.28731i 0.836795 + 0.334448i
\(615\) −3.23513 7.08394i −0.130453 0.285652i
\(616\) 5.67230 0.825463i 0.228543 0.0332589i
\(617\) −35.0288 15.9971i −1.41021 0.644020i −0.442656 0.896692i \(-0.645964\pi\)
−0.967552 + 0.252671i \(0.918691\pi\)
\(618\) 5.99131 + 17.2789i 0.241006 + 0.695058i
\(619\) −11.3989 17.7370i −0.458160 0.712911i 0.532922 0.846164i \(-0.321094\pi\)
−0.991082 + 0.133254i \(0.957458\pi\)
\(620\) −3.66197 2.60138i −0.147068 0.104474i
\(621\) 25.3534 3.41542i 1.01740 0.137056i
\(622\) 5.82683 + 11.2867i 0.233635 + 0.452554i
\(623\) −0.494522 0.769491i −0.0198126 0.0308290i
\(624\) 1.16396 + 5.96589i 0.0465955 + 0.238827i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) −16.6361 17.4275i −0.664910 0.696542i
\(627\) 3.89201 + 8.52230i 0.155432 + 0.340348i
\(628\) 42.2742 4.08537i 1.68693 0.163024i
\(629\) 31.0282 4.46118i 1.23717 0.177879i
\(630\) −1.90987 + 0.369227i −0.0760910 + 0.0147104i
\(631\) 4.64300 5.35831i 0.184835 0.213311i −0.655768 0.754962i \(-0.727655\pi\)
0.840603 + 0.541651i \(0.182201\pi\)
\(632\) −0.669690 + 0.775541i −0.0266388 + 0.0308494i
\(633\) −21.4242 13.7685i −0.851535 0.547248i
\(634\) −4.88926 1.18317i −0.194177 0.0469897i
\(635\) −1.24031 + 4.22410i −0.0492201 + 0.167628i
\(636\) 15.1182 + 7.77217i 0.599477 + 0.308187i
\(637\) −6.47612 + 5.61159i −0.256593 + 0.222339i
\(638\) −1.73502 1.36284i −0.0686902 0.0539552i
\(639\) −0.224438 0.764366i −0.00887863 0.0302378i
\(640\) 2.62339 11.0054i 0.103698 0.435025i
\(641\) 38.3348 + 5.51172i 1.51414 + 0.217700i 0.848747 0.528798i \(-0.177357\pi\)
0.665388 + 0.746498i \(0.268266\pi\)
\(642\) 13.7392 + 7.92188i 0.542242 + 0.312651i
\(643\) 36.7112i 1.44775i −0.689931 0.723875i \(-0.742359\pi\)
0.689931 0.723875i \(-0.257641\pi\)
\(644\) 7.44206 1.74445i 0.293258 0.0687408i
\(645\) 5.57431i 0.219488i
\(646\) −9.34474 + 16.2069i −0.367664 + 0.637652i
\(647\) 8.09612 + 1.16405i 0.318291 + 0.0457634i 0.299609 0.954062i \(-0.403144\pi\)
0.0186823 + 0.999825i \(0.494053\pi\)
\(648\) −2.00778 1.28547i −0.0788731 0.0504982i
\(649\) −1.57840 5.37554i −0.0619576 0.211008i
\(650\) 1.17610 1.49729i 0.0461304 0.0587285i
\(651\) −1.52678 + 1.32296i −0.0598392 + 0.0518510i
\(652\) 10.4722 + 5.38366i 0.410122 + 0.210840i
\(653\) −0.658894 + 2.24399i −0.0257845 + 0.0878140i −0.971380 0.237530i \(-0.923662\pi\)
0.945596 + 0.325344i \(0.105480\pi\)
\(654\) −0.869460 + 3.59291i −0.0339986 + 0.140494i
\(655\) 3.95705 + 2.54304i 0.154615 + 0.0993649i
\(656\) −6.44538 + 26.8353i −0.251650 + 1.04774i
\(657\) −16.1008 + 18.5813i −0.628150 + 0.724924i
\(658\) −2.36358 12.2259i −0.0921418 0.476614i
\(659\) 0.413706 0.0594819i 0.0161157 0.00231708i −0.134252 0.990947i \(-0.542863\pi\)
0.150368 + 0.988630i \(0.451954\pi\)
\(660\) −0.552207 5.71407i −0.0214946 0.222420i
\(661\) −12.9742 28.4095i −0.504637 1.10500i −0.974934 0.222493i \(-0.928581\pi\)
0.470297 0.882508i \(-0.344147\pi\)
\(662\) −20.7643 + 19.8213i −0.807026 + 0.770377i
\(663\) −2.55837 + 5.60206i −0.0993590 + 0.217566i
\(664\) −11.0151 + 37.7528i −0.427468 + 1.46509i
\(665\) −1.40631 2.18826i −0.0545343 0.0848570i
\(666\) 16.7763 8.66090i 0.650068 0.335603i
\(667\) −2.46081 1.61257i −0.0952828 0.0624388i
\(668\) 34.9520 + 24.8292i 1.35233 + 0.960669i
\(669\) −17.3495 26.9964i −0.670772 1.04374i
\(670\) −9.34736 + 3.24112i −0.361120 + 0.125216i
\(671\) 17.7192 + 8.09208i 0.684042 + 0.312391i
\(672\) −4.52930 2.31869i −0.174721 0.0894453i
\(673\) 13.7786 + 30.1709i 0.531125 + 1.16300i 0.965053 + 0.262055i \(0.0844001\pi\)
−0.433928 + 0.900948i \(0.642873\pi\)
\(674\) −2.50205 + 6.26017i −0.0963754 + 0.241133i
\(675\) 0.759151 + 5.28001i 0.0292197 + 0.203228i
\(676\) −17.5721 + 13.8513i −0.675849 + 0.532743i
\(677\) −22.7377 + 26.2408i −0.873882 + 1.00851i 0.125982 + 0.992033i \(0.459792\pi\)
−0.999864 + 0.0164815i \(0.994754\pi\)
\(678\) 1.91578 20.1846i 0.0735749 0.775184i
\(679\) −6.02122 + 9.36920i −0.231073 + 0.359557i
\(680\) 8.65032 7.52150i 0.331725 0.288436i
\(681\) −3.62862 + 12.3579i −0.139049 + 0.473557i
\(682\) 4.68904 + 6.57690i 0.179553 + 0.251842i
\(683\) −7.37485 8.51103i −0.282191 0.325666i 0.596904 0.802313i \(-0.296397\pi\)
−0.879095 + 0.476647i \(0.841852\pi\)
\(684\) −2.11977 + 11.0664i −0.0810516 + 0.423133i
\(685\) 5.10727 + 17.3938i 0.195139 + 0.664582i
\(686\) −0.725282 15.0450i −0.0276914 0.574420i
\(687\) 3.31813 23.0781i 0.126595 0.880484i
\(688\) 12.1760 15.5560i 0.464206 0.593065i
\(689\) 10.1381i 0.386229i
\(690\) −1.38616 7.52876i −0.0527703 0.286615i
\(691\) 28.3148 1.07715 0.538573 0.842579i \(-0.318963\pi\)
0.538573 + 0.842579i \(0.318963\pi\)
\(692\) −23.4267 1.08917i −0.890550 0.0414039i
\(693\) 3.46229 + 0.497803i 0.131522 + 0.0189100i
\(694\) 1.91422 + 39.7079i 0.0726630 + 1.50729i
\(695\) −2.44028 + 0.716532i −0.0925653 + 0.0271796i
\(696\) 0.554986 + 1.87821i 0.0210367 + 0.0711934i
\(697\) −21.1328 + 18.3117i −0.800463 + 0.693605i
\(698\) 29.0300 20.6971i 1.09880 0.783397i
\(699\) 21.2523 + 6.24024i 0.803835 + 0.236027i
\(700\) 0.377528 + 1.54848i 0.0142692 + 0.0585271i
\(701\) 33.9601 + 21.8248i 1.28265 + 0.824312i 0.991213 0.132277i \(-0.0422288\pi\)
0.291442 + 0.956589i \(0.405865\pi\)
\(702\) −0.959653 + 10.1109i −0.0362198 + 0.381611i
\(703\) 19.0801 + 16.5330i 0.719619 + 0.623553i
\(704\) −10.9403 + 17.1522i −0.412327 + 0.646447i
\(705\) −12.3441 + 1.77481i −0.464905 + 0.0668433i
\(706\) −6.53428 2.61161i −0.245921 0.0982892i
\(707\) −6.31559 + 2.88423i −0.237522 + 0.108473i
\(708\) −1.62124 + 4.70161i −0.0609299 + 0.176697i
\(709\) 0.675783 1.47976i 0.0253796 0.0555735i −0.896518 0.443008i \(-0.853911\pi\)
0.921897 + 0.387434i \(0.126639\pi\)
\(710\) −0.616706 + 0.213838i −0.0231446 + 0.00802520i
\(711\) −0.526027 + 0.338057i −0.0197276 + 0.0126781i
\(712\) 3.21418 + 0.456517i 0.120457 + 0.0171087i
\(713\) 6.98097 + 8.20275i 0.261439 + 0.307195i
\(714\) −2.36498 4.58100i −0.0885072 0.171440i
\(715\) −2.88019 + 1.85099i −0.107713 + 0.0692229i
\(716\) 14.4751 + 13.7705i 0.540959 + 0.514626i
\(717\) −18.6070 8.49752i −0.694890 0.317346i
\(718\) −19.5485 + 18.6608i −0.729545 + 0.696415i
\(719\) −40.3076 + 18.4079i −1.50322 + 0.686498i −0.985597 0.169111i \(-0.945910\pi\)
−0.517623 + 0.855609i \(0.673183\pi\)
\(720\) 3.43836 5.98692i 0.128140 0.223119i
\(721\) 1.29937 + 9.03735i 0.0483912 + 0.336569i
\(722\) 11.5884 2.24034i 0.431276 0.0833767i
\(723\) −0.539246 0.467259i −0.0200548 0.0173776i
\(724\) 26.9298 10.8167i 1.00084 0.402001i
\(725\) 0.331667 0.516084i 0.0123178 0.0191669i
\(726\) 1.70190 7.03281i 0.0631633 0.261012i
\(727\) 42.8867 + 12.5927i 1.59058 + 0.467037i 0.952905 0.303269i \(-0.0980779\pi\)
0.637675 + 0.770305i \(0.279896\pi\)
\(728\) 0.00519302 + 3.03461i 0.000192466 + 0.112470i
\(729\) −12.7813 14.7504i −0.473380 0.546310i
\(730\) 15.8422 + 12.4439i 0.586347 + 0.460568i
\(731\) 19.2045 5.63896i 0.710305 0.208564i
\(732\) −8.66300 14.9653i −0.320194 0.553133i
\(733\) 3.49414 24.3023i 0.129059 0.897625i −0.817692 0.575657i \(-0.804747\pi\)
0.946751 0.321968i \(-0.104344\pi\)
\(734\) 7.13225 12.3697i 0.263256 0.456574i
\(735\) −7.18417 −0.264992
\(736\) −12.5768 + 24.0380i −0.463588 + 0.886051i
\(737\) 17.7901 0.655306
\(738\) −8.41247 + 14.5900i −0.309667 + 0.537067i
\(739\) 6.15368 42.7998i 0.226367 1.57442i −0.486859 0.873481i \(-0.661857\pi\)
0.713226 0.700935i \(-0.247234\pi\)
\(740\) −7.75001 13.3881i −0.284896 0.492157i
\(741\) −4.75912 + 1.39740i −0.174831 + 0.0513349i
\(742\) 6.67401 + 5.24234i 0.245010 + 0.192452i
\(743\) 6.49855 + 7.49972i 0.238409 + 0.275138i 0.862328 0.506351i \(-0.169006\pi\)
−0.623919 + 0.781489i \(0.714460\pi\)
\(744\) −0.0122700 7.17015i −0.000449842 0.262871i
\(745\) −2.75341 0.808475i −0.100877 0.0296202i
\(746\) −5.55270 + 22.9457i −0.203299 + 0.840101i
\(747\) −12.9747 + 20.1890i −0.474718 + 0.738676i
\(748\) −19.1274 + 7.68279i −0.699367 + 0.280911i
\(749\) 5.98385 + 5.18504i 0.218645 + 0.189457i
\(750\) 1.56722 0.302985i 0.0572269 0.0110634i
\(751\) 3.87950 + 26.9825i 0.141565 + 0.984605i 0.929494 + 0.368838i \(0.120244\pi\)
−0.787929 + 0.615766i \(0.788846\pi\)
\(752\) 38.3248 + 22.0104i 1.39756 + 0.802636i
\(753\) −13.1185 + 5.99101i −0.478064 + 0.218324i
\(754\) 0.844879 0.806511i 0.0307687 0.0293714i
\(755\) 9.74777 + 4.45166i 0.354758 + 0.162012i
\(756\) −6.15989 5.86004i −0.224033 0.213128i
\(757\) −29.0336 + 18.6587i −1.05524 + 0.678163i −0.948711 0.316146i \(-0.897611\pi\)
−0.106532 + 0.994309i \(0.533975\pi\)
\(758\) 6.86658 + 13.3007i 0.249405 + 0.483102i
\(759\) −2.08016 + 13.6076i −0.0755051 + 0.493925i
\(760\) 9.14040 + 1.29823i 0.331557 + 0.0470918i
\(761\) −14.0490 + 9.02876i −0.509277 + 0.327292i −0.769917 0.638144i \(-0.779703\pi\)
0.260641 + 0.965436i \(0.416066\pi\)
\(762\) −6.63953 + 2.30221i −0.240525 + 0.0834001i
\(763\) −0.766658 + 1.67875i −0.0277549 + 0.0607747i
\(764\) 0.186411 0.540593i 0.00674410 0.0195580i
\(765\) 6.36301 2.90589i 0.230055 0.105063i
\(766\) 9.90497 + 3.95880i 0.357881 + 0.143037i
\(767\) 2.93582 0.422108i 0.106006 0.0152414i
\(768\) 16.7350 6.78844i 0.603871 0.244957i
\(769\) 5.26846 + 4.56514i 0.189985 + 0.164623i 0.744660 0.667444i \(-0.232612\pi\)
−0.554674 + 0.832067i \(0.687157\pi\)
\(770\) 0.270805 2.85320i 0.00975915 0.102822i
\(771\) 3.56390 + 2.29038i 0.128351 + 0.0824859i
\(772\) −9.67108 39.6672i −0.348070 1.42765i
\(773\) −36.9745 10.8567i −1.32988 0.390489i −0.461833 0.886967i \(-0.652808\pi\)
−0.868049 + 0.496478i \(0.834626\pi\)
\(774\) 9.81567 6.99815i 0.352817 0.251543i
\(775\) −1.69738 + 1.47079i −0.0609716 + 0.0528322i
\(776\) −11.2013 37.9079i −0.402102 1.36081i
\(777\) −6.67552 + 1.96011i −0.239483 + 0.0703185i
\(778\) 0.705360 + 14.6317i 0.0252884 + 0.524572i
\(779\) −22.2915 3.20504i −0.798676 0.114832i
\(780\) 3.03591 + 0.141147i 0.108703 + 0.00505387i
\(781\) 1.17373 0.0419993
\(782\) −24.5357 + 12.3917i −0.877396 + 0.443125i
\(783\) 3.27244i 0.116947i
\(784\) 20.0485 + 15.6924i 0.716018 + 0.560444i
\(785\) 3.02214 21.0194i 0.107865 0.750216i
\(786\) 0.361539 + 7.49962i 0.0128957 + 0.267503i
\(787\) 2.02379 + 6.89241i 0.0721405 + 0.245688i 0.987667 0.156570i \(-0.0500437\pi\)
−0.915526 + 0.402258i \(0.868226\pi\)
\(788\) 2.59125 13.5277i 0.0923095 0.481905i
\(789\) −9.02222 10.4122i −0.321200 0.370684i
\(790\) 0.297421 + 0.417166i 0.0105818 + 0.0148421i
\(791\) 2.85181 9.71236i 0.101399 0.345332i
\(792\) −9.36851 + 8.14597i −0.332896 + 0.289455i
\(793\) −5.57545 + 8.67557i −0.197990 + 0.308079i
\(794\) 1.60268 16.8858i 0.0568768 0.599253i
\(795\) 5.56600 6.42351i 0.197406 0.227818i
\(796\) 20.1537 15.8863i 0.714330 0.563076i
\(797\) 1.28568 + 8.94209i 0.0455410 + 0.316745i 0.999840 + 0.0178911i \(0.00569521\pi\)
−0.954299 + 0.298854i \(0.903396\pi\)
\(798\) 1.54099 3.85558i 0.0545504 0.136486i
\(799\) 18.6018 + 40.7322i 0.658084 + 1.44100i
\(800\) −5.03539 2.57777i −0.178028 0.0911379i
\(801\) 1.80207 + 0.822976i 0.0636729 + 0.0290784i
\(802\) −33.3089 + 11.5496i −1.17618 + 0.407830i
\(803\) −19.5846 30.4742i −0.691125 1.07541i
\(804\) −12.8743 9.14566i −0.454043 0.322543i
\(805\) 0.0339897 3.82174i 0.00119798 0.134699i
\(806\) −3.79973 + 1.96164i −0.133840 + 0.0690959i
\(807\) −0.699700 1.08875i −0.0246306 0.0383260i
\(808\) 6.90203 23.6558i 0.242813 0.832209i
\(809\) −8.46606 + 18.5381i −0.297651 + 0.651764i −0.998079 0.0619589i \(-0.980265\pi\)
0.700428 + 0.713723i \(0.252993\pi\)
\(810\) −0.862235 + 0.823078i −0.0302958 + 0.0289200i
\(811\) 0.674048 + 1.47596i 0.0236690 + 0.0518279i 0.921097 0.389332i \(-0.127294\pi\)
−0.897428 + 0.441160i \(0.854567\pi\)
\(812\) 0.0940535 + 0.973237i 0.00330063 + 0.0341539i
\(813\) −10.1175 + 1.45467i −0.354835 + 0.0510176i
\(814\) 5.27999 + 27.3113i 0.185063 + 0.957262i
\(815\) 3.85548 4.44947i 0.135052 0.155858i
\(816\) 17.7918 + 4.27328i 0.622837 + 0.149595i
\(817\) 13.5610 + 8.71512i 0.474439 + 0.304903i
\(818\) −6.87421 + 28.4066i −0.240351 + 0.993214i
\(819\) −0.521720 + 1.77682i −0.0182304 + 0.0620869i
\(820\) 12.2725 + 6.30919i 0.428573 + 0.220326i
\(821\) −34.0387 + 29.4947i −1.18796 + 1.02937i −0.189085 + 0.981961i \(0.560552\pi\)
−0.998875 + 0.0474128i \(0.984902\pi\)
\(822\) −17.8746 + 22.7561i −0.623447 + 0.793709i
\(823\) −8.64634 29.4467i −0.301392 1.02645i −0.961392 0.275182i \(-0.911262\pi\)
0.660000 0.751266i \(-0.270556\pi\)
\(824\) −27.2909 17.4729i −0.950725 0.608698i
\(825\) −2.84113 0.408493i −0.0989154 0.0142219i
\(826\) −1.24022 + 2.15096i −0.0431528 + 0.0748415i
\(827\) 44.8960i 1.56119i −0.625039 0.780594i \(-0.714917\pi\)
0.625039 0.780594i \(-0.285083\pi\)
\(828\) −11.5170 + 11.8927i −0.400243 + 0.413299i
\(829\) 34.3731i 1.19383i −0.802305 0.596914i \(-0.796393\pi\)
0.802305 0.596914i \(-0.203607\pi\)
\(830\) 17.0347 + 9.82202i 0.591282 + 0.340927i
\(831\) −18.4818 2.65728i −0.641126 0.0921800i
\(832\) −8.16385 7.02524i −0.283031 0.243557i
\(833\) 7.26749 + 24.7508i 0.251803 + 0.857564i
\(834\) −3.19260 2.50774i −0.110551 0.0868359i
\(835\) 16.2008 14.0381i 0.560651 0.485807i
\(836\) −14.7643 7.59024i −0.510635 0.262514i
\(837\) 3.37532 11.4953i 0.116668 0.397336i
\(838\) −13.7869 3.33635i −0.476262 0.115252i
\(839\) −43.1394 27.7240i −1.48934 0.957140i −0.996191 0.0871945i \(-0.972210\pi\)
−0.493148 0.869946i \(-0.664154\pi\)
\(840\) −1.66277 + 1.92559i −0.0573711 + 0.0664392i
\(841\) −18.7445 + 21.6323i −0.646362 + 0.745942i
\(842\) 1.19975 0.231943i 0.0413461 0.00799327i
\(843\) 1.52231 0.218875i 0.0524310 0.00753844i
\(844\) 44.9164 4.34071i 1.54609 0.149414i
\(845\) 4.64744 + 10.1765i 0.159877 + 0.350081i
\(846\) 18.6223 + 19.5082i 0.640249 + 0.670707i
\(847\) 1.50067 3.28601i 0.0515636 0.112909i
\(848\) −29.5637 + 5.76792i −1.01522 + 0.198071i
\(849\) 7.68059 + 11.9512i 0.263597 + 0.410165i
\(850\) −2.62924 5.09287i −0.0901821 0.174684i
\(851\) 10.1338 + 35.6834i 0.347381 + 1.22321i
\(852\) −0.849405 0.603399i −0.0291001 0.0206721i
\(853\) −11.4750 17.8555i −0.392898 0.611361i 0.587303 0.809367i \(-0.300190\pi\)
−0.980201 + 0.198007i \(0.936553\pi\)
\(854\) −2.82820 8.15649i −0.0967790 0.279109i
\(855\) 5.12466 + 2.34035i 0.175260 + 0.0800384i
\(856\) −27.8089 + 4.04689i −0.950487 + 0.138320i
\(857\) −1.90224 4.16532i −0.0649792 0.142285i 0.874356 0.485285i \(-0.161284\pi\)
−0.939335 + 0.343000i \(0.888557\pi\)
\(858\) −5.07472 2.02825i −0.173248 0.0692434i
\(859\) −4.29980 29.9058i −0.146707 1.02037i −0.921562 0.388232i \(-0.873086\pi\)
0.774854 0.632140i \(-0.217823\pi\)
\(860\) −6.11458 7.75710i −0.208506 0.264515i
\(861\) 4.06418 4.69031i 0.138507 0.159845i
\(862\) 4.27091 + 0.405364i 0.145468 + 0.0138068i
\(863\) −18.6741 + 29.0574i −0.635673 + 0.989127i 0.362688 + 0.931910i \(0.381859\pi\)
−0.998362 + 0.0572166i \(0.981777\pi\)
\(864\) 30.0305 2.95402i 1.02166 0.100498i
\(865\) −3.30360 + 11.2510i −0.112326 + 0.382546i
\(866\) 25.9011 18.4664i 0.880156 0.627513i
\(867\) −0.424923 0.490388i −0.0144312 0.0166544i
\(868\) 0.673449 3.51577i 0.0228584 0.119333i
\(869\) −0.259553 0.883957i −0.00880474 0.0299862i
\(870\) 0.978110 0.0471523i 0.0331610 0.00159861i
\(871\) −1.34036 + 9.32241i −0.0454164 + 0.315878i
\(872\) −2.73122 5.95355i −0.0924907 0.201613i
\(873\) 24.1215i 0.816388i
\(874\) −20.4829 8.39859i −0.692845 0.284087i
\(875\) 0.796919 0.0269408
\(876\) −1.49342 + 32.1218i −0.0504581 + 1.08529i
\(877\) −10.1999 1.46652i −0.344426 0.0495210i −0.0320686 0.999486i \(-0.510210\pi\)
−0.312357 + 0.949965i \(0.601119\pi\)
\(878\) 9.20683 0.443839i 0.310716 0.0149789i
\(879\) −15.2632 + 4.48169i −0.514816 + 0.151164i
\(880\) 7.03633 + 7.34586i 0.237195 + 0.247629i
\(881\) 3.90114 3.38035i 0.131433 0.113887i −0.586664 0.809830i \(-0.699559\pi\)
0.718097 + 0.695943i \(0.245014\pi\)
\(882\) 9.01921 + 12.6504i 0.303693 + 0.425962i
\(883\) 15.7371 + 4.62083i 0.529595 + 0.155503i 0.535589 0.844479i \(-0.320090\pi\)
−0.00599363 + 0.999982i \(0.501908\pi\)
\(884\) −2.58484 10.6020i −0.0869375 0.356585i
\(885\) 2.09190 + 1.34438i 0.0703183 + 0.0451908i
\(886\) 16.2022 + 1.53780i 0.544324 + 0.0516634i
\(887\) 0.477362 + 0.413637i 0.0160282 + 0.0138886i 0.662838 0.748763i \(-0.269352\pi\)
−0.646810 + 0.762651i \(0.723897\pi\)
\(888\) 10.2194 22.4791i 0.342940 0.754348i
\(889\) −3.47267 + 0.499294i −0.116470 + 0.0167458i
\(890\) 0.602430 1.50729i 0.0201935 0.0505245i
\(891\) 1.94977 0.890431i 0.0653198 0.0298306i
\(892\) 53.7562 + 18.5366i 1.79989 + 0.620650i
\(893\) −14.9816 + 32.8051i −0.501339 + 1.09778i
\(894\) −1.50066 4.32787i −0.0501895 0.144746i
\(895\) 8.40362 5.40068i 0.280902 0.180525i
\(896\) 8.84629 1.74165i 0.295534 0.0581843i
\(897\) −6.97397 2.11529i −0.232854 0.0706276i
\(898\) −44.1489 + 22.7922i −1.47327 + 0.760586i
\(899\) −1.15910 + 0.744908i −0.0386581 + 0.0248441i
\(900\) −2.50105 2.37931i −0.0833685 0.0793103i
\(901\) −27.7607 12.6779i −0.924844 0.422362i
\(902\) −17.1336 17.9487i −0.570488 0.597627i
\(903\) −4.04083 + 1.84539i −0.134471 + 0.0614106i
\(904\) 19.4750 + 30.1899i 0.647728 + 1.00410i
\(905\) −2.06506 14.3628i −0.0686448 0.477435i
\(906\) 3.24684 + 16.7946i 0.107869 + 0.557964i
\(907\) 34.7775 + 30.1349i 1.15477 + 1.00061i 0.999920 + 0.0126734i \(0.00403417\pi\)
0.154848 + 0.987938i \(0.450511\pi\)
\(908\) −8.50619 21.1774i −0.282288 0.702796i
\(909\) 8.12990 12.6504i 0.269652 0.419586i
\(910\) 1.47474 + 0.356877i 0.0488871 + 0.0118304i
\(911\) 33.6970 + 9.89433i 1.11643 + 0.327814i 0.787362 0.616492i \(-0.211447\pi\)
0.329070 + 0.944305i \(0.393265\pi\)
\(912\) 6.78262 + 13.0831i 0.224595 + 0.433224i
\(913\) −23.1550 26.7223i −0.766318 0.884378i
\(914\) 19.5890 24.9387i 0.647947 0.824899i
\(915\) −8.29570 + 2.43584i −0.274247 + 0.0805263i
\(916\) 20.6974 + 35.7547i 0.683862 + 1.18137i
\(917\) −0.533469 + 3.71036i −0.0176167 + 0.122527i
\(918\) 26.4863 + 15.2717i 0.874177 + 0.504042i
\(919\) −36.7256 −1.21147 −0.605734 0.795668i \(-0.707120\pi\)
−0.605734 + 0.795668i \(0.707120\pi\)
\(920\) 10.1874 + 8.95636i 0.335869 + 0.295283i
\(921\) 17.8218 0.587250
\(922\) −14.3645 8.28245i −0.473071 0.272768i
\(923\) −0.0884323 + 0.615060i −0.00291079 + 0.0202450i
\(924\) 3.95934 2.29195i 0.130253 0.0753997i
\(925\) −7.42142 + 2.17913i −0.244015 + 0.0716492i
\(926\) −31.0483 + 39.5275i −1.02031 + 1.29896i
\(927\) −12.9497 14.9448i −0.425325 0.490852i
\(928\) −2.83256 2.00491i −0.0929833 0.0658143i
\(929\) 30.9437 + 9.08588i 1.01523 + 0.298098i 0.746691 0.665171i \(-0.231641\pi\)
0.268538 + 0.963269i \(0.413459\pi\)
\(930\) −3.48451 0.843228i −0.114261 0.0276505i
\(931\) −11.2320 + 17.4774i −0.368115 + 0.572799i
\(932\) −36.4193 + 14.6283i −1.19295 + 0.479167i
\(933\) 7.66158 + 6.63880i 0.250829 + 0.217345i
\(934\) −7.24969 37.4999i −0.237217 1.22703i
\(935\) 1.46675 + 10.2014i 0.0479677 + 0.333623i
\(936\) −3.56282 5.52306i −0.116455 0.180527i
\(937\) −39.8588 + 18.2029i −1.30213 + 0.594663i −0.941175 0.337921i \(-0.890276\pi\)
−0.360955 + 0.932583i \(0.617549\pi\)
\(938\) −5.44396 5.70295i −0.177752 0.186208i
\(939\) −17.4915 7.98809i −0.570812 0.260681i
\(940\) 15.2309 16.0103i 0.496779 0.522198i
\(941\) −20.1470 + 12.9477i −0.656774 + 0.422083i −0.826136 0.563471i \(-0.809466\pi\)
0.169362 + 0.985554i \(0.445829\pi\)
\(942\) 30.1201 15.5498i 0.981367 0.506638i
\(943\) −24.8136 21.8905i −0.808043 0.712853i
\(944\) −2.90122 8.32104i −0.0944265 0.270827i
\(945\) −3.57618 + 2.29827i −0.116333 + 0.0747627i
\(946\) 5.81870 + 16.7811i 0.189182 + 0.545599i
\(947\) −1.67769 + 3.67363i −0.0545176 + 0.119377i −0.934930 0.354831i \(-0.884538\pi\)
0.880413 + 0.474208i \(0.157266\pi\)
\(948\) −0.266598 + 0.773136i −0.00865869 + 0.0251103i
\(949\) 17.4447 7.96674i 0.566280 0.258611i
\(950\) 1.71317 4.28639i 0.0555827 0.139069i
\(951\) −3.97399 + 0.571373i −0.128865 + 0.0185281i
\(952\) 8.31607 + 3.78063i 0.269525 + 0.122531i
\(953\) 13.4147 + 11.6239i 0.434543 + 0.376534i 0.844486 0.535577i \(-0.179906\pi\)
−0.409943 + 0.912111i \(0.634451\pi\)
\(954\) −18.2987 1.73678i −0.592443 0.0562304i
\(955\) −0.240527 0.154577i −0.00778327 0.00500201i
\(956\) 35.2142 8.58542i 1.13891 0.277672i
\(957\) −1.68954 0.496094i −0.0546151 0.0160365i
\(958\) 6.19961 + 8.69563i 0.200300 + 0.280943i
\(959\) −10.9180 + 9.46052i −0.352561 + 0.305496i
\(960\) −1.31564 8.93335i −0.0424622 0.288323i
\(961\) −24.9043 + 7.31257i −0.803365 + 0.235889i
\(962\) −14.7096 + 0.709113i −0.474256 + 0.0228627i
\(963\) −16.9741 2.44051i −0.546984 0.0786445i
\(964\) 1.26295 + 0.0587178i 0.0406769 + 0.00189117i
\(965\) −20.4145 −0.657167
\(966\) 4.99873 3.49725i 0.160832 0.112522i
\(967\) 20.6583i 0.664325i 0.943222 + 0.332163i \(0.107778\pi\)
−0.943222 + 0.332163i \(0.892222\pi\)
\(968\) 5.34613 + 11.6536i 0.171831 + 0.374560i
\(969\) −2.12493 + 14.7792i −0.0682627 + 0.474777i
\(970\) −19.7411 + 0.951673i −0.633850 + 0.0305564i
\(971\) 4.21555 + 14.3568i 0.135283 + 0.460733i 0.999070 0.0431256i \(-0.0137316\pi\)
−0.863786 + 0.503858i \(0.831913\pi\)
\(972\) 29.5656 + 5.66332i 0.948316 + 0.181651i
\(973\) −1.32728 1.53176i −0.0425506 0.0491060i
\(974\) 4.11330 2.93260i 0.131799 0.0939667i
\(975\) 0.428119 1.45804i 0.0137108 0.0466946i
\(976\) 28.4710 + 11.3228i 0.911335 + 0.362433i
\(977\) −1.00211 + 1.55931i −0.0320602 + 0.0498866i −0.856914 0.515460i \(-0.827621\pi\)
0.824854 + 0.565346i \(0.191258\pi\)
\(978\) 9.35581 + 0.887986i 0.299166 + 0.0283947i
\(979\) −1.91145 + 2.20593i −0.0610901 + 0.0705017i
\(980\) 9.99735 7.88048i 0.319354 0.251733i
\(981\) −0.568850 3.95644i −0.0181620 0.126319i
\(982\) 54.6004 + 21.8226i 1.74237 + 0.696386i
\(983\) 2.83224 + 6.20174i 0.0903345 + 0.197805i 0.949407 0.314050i \(-0.101686\pi\)
−0.859072 + 0.511855i \(0.828959\pi\)
\(984\) 3.17207 + 21.7973i 0.101122 + 0.694874i
\(985\) −6.26448 2.86089i −0.199603 0.0911556i
\(986\) −1.15190 3.32207i −0.0366840 0.105796i
\(987\) −5.37310 8.36071i −0.171028 0.266124i
\(988\) 5.08985 7.16498i 0.161930 0.227948i
\(989\) 9.64706 + 21.6312i 0.306759 + 0.687832i
\(990\) 2.84753 + 5.51571i 0.0905004 + 0.175301i
\(991\) −14.2647 22.1963i −0.453133 0.705089i 0.537253 0.843421i \(-0.319462\pi\)
−0.990386 + 0.138332i \(0.955826\pi\)
\(992\) 7.88218 + 9.96438i 0.250259 + 0.316369i
\(993\) −9.51754 + 20.8405i −0.302030 + 0.661353i
\(994\) −0.359174 0.376261i −0.0113923 0.0119343i
\(995\) −5.33023 11.6716i −0.168980 0.370014i
\(996\) 3.01923 + 31.2421i 0.0956679 + 0.989943i
\(997\) 49.7693 7.15574i 1.57621 0.226625i 0.702001 0.712176i \(-0.252290\pi\)
0.874208 + 0.485552i \(0.161381\pi\)
\(998\) 19.3583 3.74247i 0.612777 0.118466i
\(999\) 27.0192 31.1818i 0.854849 0.986548i
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 920.2.bb.a.11.16 480
8.3 odd 2 920.2.bb.b.11.2 yes 480
23.21 odd 22 920.2.bb.b.251.2 yes 480
184.67 even 22 inner 920.2.bb.a.251.16 yes 480
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
920.2.bb.a.11.16 480 1.1 even 1 trivial
920.2.bb.a.251.16 yes 480 184.67 even 22 inner
920.2.bb.b.11.2 yes 480 8.3 odd 2
920.2.bb.b.251.2 yes 480 23.21 odd 22