Properties

Label 690.2.m.h.601.3
Level $690$
Weight $2$
Character 690.601
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [690,2,Mod(31,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), 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: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 601.3
Character \(\chi\) \(=\) 690.601
Dual form 690.2.m.h.31.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.142315 + 0.989821i) q^{2} +(0.415415 - 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.654861 - 0.755750i) q^{5} +(0.959493 + 0.281733i) q^{6} +(2.49910 - 1.60607i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(0.142315 + 0.989821i) q^{2} +(0.415415 - 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.654861 - 0.755750i) q^{5} +(0.959493 + 0.281733i) q^{6} +(2.49910 - 1.60607i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(0.841254 + 0.540641i) q^{10} +(0.638488 - 4.44078i) q^{11} +(-0.142315 + 0.989821i) q^{12} +(0.235128 + 0.151108i) q^{13} +(1.94539 + 2.24509i) q^{14} +(-0.415415 - 0.909632i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-6.26965 - 1.84093i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-7.29702 + 2.14260i) q^{19} +(-0.415415 + 0.909632i) q^{20} +(-0.422773 - 2.94045i) q^{21} +4.48645 q^{22} +(2.68385 - 3.97453i) q^{23} -1.00000 q^{24} +(-0.142315 - 0.989821i) q^{25} +(-0.116107 + 0.254239i) q^{26} +(-0.959493 + 0.281733i) q^{27} +(-1.94539 + 2.24509i) q^{28} +(9.87352 + 2.89913i) q^{29} +(0.841254 - 0.540641i) q^{30} +(-0.779048 - 1.70588i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-3.77424 - 2.42556i) q^{33} +(0.929933 - 6.46782i) q^{34} +(0.422773 - 2.94045i) q^{35} +(0.841254 + 0.540641i) q^{36} +(4.58226 + 5.28821i) q^{37} +(-3.15926 - 6.91782i) q^{38} +(0.235128 - 0.151108i) q^{39} +(-0.959493 - 0.281733i) q^{40} +(2.13548 - 2.46447i) q^{41} +(2.85035 - 0.836939i) q^{42} +(1.39847 - 3.06223i) q^{43} +(0.638488 + 4.44078i) q^{44} -1.00000 q^{45} +(4.31603 + 2.09090i) q^{46} +12.5066 q^{47} +(-0.142315 - 0.989821i) q^{48} +(0.758120 - 1.66005i) q^{49} +(0.959493 - 0.281733i) q^{50} +(-4.27908 + 4.93832i) q^{51} +(-0.268175 - 0.0787434i) q^{52} +(-2.13055 + 1.36922i) q^{53} +(-0.415415 - 0.909632i) q^{54} +(-2.93800 - 3.39063i) q^{55} +(-2.49910 - 1.60607i) q^{56} +(-1.08232 + 7.52767i) q^{57} +(-1.46447 + 10.1856i) q^{58} +(-1.55475 - 0.999175i) q^{59} +(0.654861 + 0.755750i) q^{60} +(-0.890790 - 1.95056i) q^{61} +(1.57764 - 1.01389i) q^{62} +(-2.85035 - 0.836939i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(0.268175 - 0.0787434i) q^{65} +(1.86374 - 4.08102i) q^{66} +(0.517273 + 3.59771i) q^{67} +6.53433 q^{68} +(-2.50045 - 4.09240i) q^{69} +2.97069 q^{70} +(-1.27196 - 8.84670i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(-3.71920 + 1.09206i) q^{73} +(-4.58226 + 5.28821i) q^{74} +(-0.959493 - 0.281733i) q^{75} +(6.39780 - 4.11161i) q^{76} +(-5.53658 - 12.1234i) q^{77} +(0.183032 + 0.211230i) q^{78} +(9.73355 + 6.25537i) q^{79} +(0.142315 - 0.989821i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(2.74330 + 1.76301i) q^{82} +(-0.201538 - 0.232588i) q^{83} +(1.23407 + 2.70223i) q^{84} +(-5.49703 + 3.53273i) q^{85} +(3.23008 + 0.948438i) q^{86} +(6.73875 - 7.77693i) q^{87} +(-4.30472 + 1.26398i) q^{88} +(-1.94798 + 4.26547i) q^{89} +(-0.142315 - 0.989821i) q^{90} +0.830298 q^{91} +(-1.45538 + 4.56967i) q^{92} -1.87535 q^{93} +(1.77987 + 12.3793i) q^{94} +(-3.15926 + 6.91782i) q^{95} +(0.959493 - 0.281733i) q^{96} +(-5.46007 + 6.30126i) q^{97} +(1.75105 + 0.514154i) q^{98} +(-3.77424 + 2.42556i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} + 3 q^{5} + 3 q^{6} + 8 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} + 3 q^{5} + 3 q^{6} + 8 q^{7} + 3 q^{8} - 3 q^{9} - 3 q^{10} - 18 q^{11} - 3 q^{12} + 13 q^{13} - 8 q^{14} + 3 q^{15} - 3 q^{16} - 6 q^{17} + 3 q^{18} + 4 q^{19} + 3 q^{20} - 3 q^{21} - 4 q^{22} - 23 q^{23} - 30 q^{24} - 3 q^{25} + 9 q^{26} - 3 q^{27} + 8 q^{28} + 18 q^{29} - 3 q^{30} - 8 q^{31} + 3 q^{32} + 4 q^{33} - 5 q^{34} + 3 q^{35} - 3 q^{36} - 32 q^{37} - 15 q^{38} + 13 q^{39} - 3 q^{40} + 35 q^{41} + 3 q^{42} + 48 q^{43} - 18 q^{44} - 30 q^{45} + q^{46} + 8 q^{47} - 3 q^{48} - 11 q^{49} + 3 q^{50} + 27 q^{51} + 2 q^{52} + 26 q^{53} + 3 q^{54} - 4 q^{55} - 8 q^{56} - 29 q^{57} - 7 q^{58} + 55 q^{59} + 3 q^{60} + 21 q^{61} + 8 q^{62} - 3 q^{63} - 3 q^{64} - 2 q^{65} + 7 q^{66} + 4 q^{67} - 28 q^{68} - 45 q^{69} - 14 q^{70} - 41 q^{71} + 3 q^{72} - 39 q^{73} + 32 q^{74} - 3 q^{75} + 4 q^{76} - 33 q^{77} - 2 q^{78} + 18 q^{79} + 3 q^{80} - 3 q^{81} + 31 q^{82} - 85 q^{83} - 3 q^{84} - 5 q^{85} + 40 q^{86} + 18 q^{87} - 15 q^{88} + 43 q^{89} - 3 q^{90} + 38 q^{91} + 10 q^{92} + 36 q^{93} - 19 q^{94} - 15 q^{95} + 3 q^{96} + 43 q^{97} + 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{8}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.142315 + 0.989821i 0.100632 + 0.699909i
\(3\) 0.415415 0.909632i 0.239840 0.525176i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 0.654861 0.755750i 0.292863 0.337981i
\(6\) 0.959493 + 0.281733i 0.391711 + 0.115017i
\(7\) 2.49910 1.60607i 0.944571 0.607039i 0.0248835 0.999690i \(-0.492079\pi\)
0.919687 + 0.392652i \(0.128442\pi\)
\(8\) −0.415415 0.909632i −0.146871 0.321603i
\(9\) −0.654861 0.755750i −0.218287 0.251917i
\(10\) 0.841254 + 0.540641i 0.266028 + 0.170966i
\(11\) 0.638488 4.44078i 0.192511 1.33895i −0.632820 0.774299i \(-0.718103\pi\)
0.825332 0.564648i \(-0.190988\pi\)
\(12\) −0.142315 + 0.989821i −0.0410828 + 0.285737i
\(13\) 0.235128 + 0.151108i 0.0652127 + 0.0419097i 0.572841 0.819667i \(-0.305841\pi\)
−0.507628 + 0.861576i \(0.669478\pi\)
\(14\) 1.94539 + 2.24509i 0.519926 + 0.600027i
\(15\) −0.415415 0.909632i −0.107260 0.234866i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −6.26965 1.84093i −1.52061 0.446492i −0.588451 0.808533i \(-0.700262\pi\)
−0.932162 + 0.362041i \(0.882080\pi\)
\(18\) 0.654861 0.755750i 0.154352 0.178132i
\(19\) −7.29702 + 2.14260i −1.67405 + 0.491546i −0.974753 0.223285i \(-0.928322\pi\)
−0.699297 + 0.714831i \(0.746504\pi\)
\(20\) −0.415415 + 0.909632i −0.0928896 + 0.203400i
\(21\) −0.422773 2.94045i −0.0922565 0.641658i
\(22\) 4.48645 0.956514
\(23\) 2.68385 3.97453i 0.559622 0.828748i
\(24\) −1.00000 −0.204124
\(25\) −0.142315 0.989821i −0.0284630 0.197964i
\(26\) −0.116107 + 0.254239i −0.0227705 + 0.0498605i
\(27\) −0.959493 + 0.281733i −0.184655 + 0.0542195i
\(28\) −1.94539 + 2.24509i −0.367643 + 0.424283i
\(29\) 9.87352 + 2.89913i 1.83347 + 0.538355i 0.999901 0.0140654i \(-0.00447730\pi\)
0.833566 + 0.552420i \(0.186295\pi\)
\(30\) 0.841254 0.540641i 0.153591 0.0987071i
\(31\) −0.779048 1.70588i −0.139921 0.306385i 0.826679 0.562674i \(-0.190227\pi\)
−0.966600 + 0.256289i \(0.917500\pi\)
\(32\) 0.654861 + 0.755750i 0.115764 + 0.133599i
\(33\) −3.77424 2.42556i −0.657011 0.422235i
\(34\) 0.929933 6.46782i 0.159482 1.10922i
\(35\) 0.422773 2.94045i 0.0714616 0.497026i
\(36\) 0.841254 + 0.540641i 0.140209 + 0.0901068i
\(37\) 4.58226 + 5.28821i 0.753318 + 0.869376i 0.994886 0.101008i \(-0.0322069\pi\)
−0.241567 + 0.970384i \(0.577661\pi\)
\(38\) −3.15926 6.91782i −0.512500 1.12222i
\(39\) 0.235128 0.151108i 0.0376506 0.0241966i
\(40\) −0.959493 0.281733i −0.151709 0.0445458i
\(41\) 2.13548 2.46447i 0.333505 0.384886i −0.564085 0.825717i \(-0.690771\pi\)
0.897590 + 0.440831i \(0.145316\pi\)
\(42\) 2.85035 0.836939i 0.439819 0.129142i
\(43\) 1.39847 3.06223i 0.213265 0.466985i −0.772521 0.634989i \(-0.781005\pi\)
0.985786 + 0.168003i \(0.0537320\pi\)
\(44\) 0.638488 + 4.44078i 0.0962557 + 0.669473i
\(45\) −1.00000 −0.149071
\(46\) 4.31603 + 2.09090i 0.636364 + 0.308287i
\(47\) 12.5066 1.82427 0.912136 0.409887i \(-0.134432\pi\)
0.912136 + 0.409887i \(0.134432\pi\)
\(48\) −0.142315 0.989821i −0.0205414 0.142868i
\(49\) 0.758120 1.66005i 0.108303 0.237150i
\(50\) 0.959493 0.281733i 0.135693 0.0398430i
\(51\) −4.27908 + 4.93832i −0.599191 + 0.691503i
\(52\) −0.268175 0.0787434i −0.0371892 0.0109197i
\(53\) −2.13055 + 1.36922i −0.292654 + 0.188077i −0.678727 0.734391i \(-0.737468\pi\)
0.386072 + 0.922468i \(0.373831\pi\)
\(54\) −0.415415 0.909632i −0.0565308 0.123785i
\(55\) −2.93800 3.39063i −0.396160 0.457193i
\(56\) −2.49910 1.60607i −0.333956 0.214621i
\(57\) −1.08232 + 7.52767i −0.143356 + 0.997064i
\(58\) −1.46447 + 10.1856i −0.192294 + 1.33744i
\(59\) −1.55475 0.999175i −0.202411 0.130082i 0.435509 0.900184i \(-0.356568\pi\)
−0.637920 + 0.770103i \(0.720205\pi\)
\(60\) 0.654861 + 0.755750i 0.0845422 + 0.0975669i
\(61\) −0.890790 1.95056i −0.114054 0.249743i 0.843993 0.536354i \(-0.180199\pi\)
−0.958047 + 0.286611i \(0.907471\pi\)
\(62\) 1.57764 1.01389i 0.200361 0.128764i
\(63\) −2.85035 0.836939i −0.359111 0.105444i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 0.268175 0.0787434i 0.0332631 0.00976692i
\(66\) 1.86374 4.08102i 0.229410 0.502339i
\(67\) 0.517273 + 3.59771i 0.0631950 + 0.439531i 0.996714 + 0.0810026i \(0.0258122\pi\)
−0.933519 + 0.358528i \(0.883279\pi\)
\(68\) 6.53433 0.792404
\(69\) −2.50045 4.09240i −0.301019 0.492667i
\(70\) 2.97069 0.355065
\(71\) −1.27196 8.84670i −0.150954 1.04991i −0.914625 0.404304i \(-0.867514\pi\)
0.763670 0.645606i \(-0.223395\pi\)
\(72\) −0.415415 + 0.909632i −0.0489571 + 0.107201i
\(73\) −3.71920 + 1.09206i −0.435299 + 0.127815i −0.492038 0.870574i \(-0.663748\pi\)
0.0567388 + 0.998389i \(0.481930\pi\)
\(74\) −4.58226 + 5.28821i −0.532677 + 0.614741i
\(75\) −0.959493 0.281733i −0.110793 0.0325317i
\(76\) 6.39780 4.11161i 0.733878 0.471635i
\(77\) −5.53658 12.1234i −0.630952 1.38159i
\(78\) 0.183032 + 0.211230i 0.0207243 + 0.0239171i
\(79\) 9.73355 + 6.25537i 1.09511 + 0.703784i 0.957999 0.286772i \(-0.0925821\pi\)
0.137111 + 0.990556i \(0.456218\pi\)
\(80\) 0.142315 0.989821i 0.0159113 0.110665i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 2.74330 + 1.76301i 0.302946 + 0.194692i
\(83\) −0.201538 0.232588i −0.0221217 0.0255298i 0.744581 0.667532i \(-0.232649\pi\)
−0.766703 + 0.642002i \(0.778104\pi\)
\(84\) 1.23407 + 2.70223i 0.134648 + 0.294837i
\(85\) −5.49703 + 3.53273i −0.596237 + 0.383178i
\(86\) 3.23008 + 0.948438i 0.348309 + 0.102273i
\(87\) 6.73875 7.77693i 0.722470 0.833774i
\(88\) −4.30472 + 1.26398i −0.458884 + 0.134741i
\(89\) −1.94798 + 4.26547i −0.206485 + 0.452139i −0.984334 0.176312i \(-0.943583\pi\)
0.777849 + 0.628451i \(0.216311\pi\)
\(90\) −0.142315 0.989821i −0.0150013 0.104336i
\(91\) 0.830298 0.0870389
\(92\) −1.45538 + 4.56967i −0.151734 + 0.476421i
\(93\) −1.87535 −0.194465
\(94\) 1.77987 + 12.3793i 0.183580 + 1.27683i
\(95\) −3.15926 + 6.91782i −0.324134 + 0.709753i
\(96\) 0.959493 0.281733i 0.0979278 0.0287542i
\(97\) −5.46007 + 6.30126i −0.554386 + 0.639796i −0.961899 0.273403i \(-0.911851\pi\)
0.407513 + 0.913199i \(0.366396\pi\)
\(98\) 1.75105 + 0.514154i 0.176882 + 0.0519374i
\(99\) −3.77424 + 2.42556i −0.379325 + 0.243778i
\(100\) 0.415415 + 0.909632i 0.0415415 + 0.0909632i
\(101\) −2.36321 2.72729i −0.235148 0.271376i 0.625895 0.779907i \(-0.284734\pi\)
−0.861043 + 0.508532i \(0.830188\pi\)
\(102\) −5.49703 3.53273i −0.544287 0.349792i
\(103\) −2.27868 + 15.8486i −0.224525 + 1.56161i 0.496090 + 0.868271i \(0.334769\pi\)
−0.720615 + 0.693335i \(0.756140\pi\)
\(104\) 0.0397766 0.276652i 0.00390041 0.0271280i
\(105\) −2.49910 1.60607i −0.243887 0.156737i
\(106\) −1.65850 1.91401i −0.161087 0.185905i
\(107\) 6.35649 + 13.9188i 0.614505 + 1.34558i 0.919449 + 0.393209i \(0.128635\pi\)
−0.304944 + 0.952370i \(0.598638\pi\)
\(108\) 0.841254 0.540641i 0.0809497 0.0520232i
\(109\) 5.75156 + 1.68881i 0.550899 + 0.161759i 0.545323 0.838226i \(-0.316407\pi\)
0.00557612 + 0.999984i \(0.498225\pi\)
\(110\) 2.93800 3.39063i 0.280127 0.323284i
\(111\) 6.71386 1.97137i 0.637251 0.187114i
\(112\) 1.23407 2.70223i 0.116608 0.255337i
\(113\) 0.834015 + 5.80070i 0.0784575 + 0.545684i 0.990703 + 0.136041i \(0.0434378\pi\)
−0.912246 + 0.409643i \(0.865653\pi\)
\(114\) −7.60508 −0.712281
\(115\) −1.24620 4.63109i −0.116209 0.431851i
\(116\) −10.2904 −0.955435
\(117\) −0.0397766 0.276652i −0.00367735 0.0255765i
\(118\) 0.767742 1.68112i 0.0706763 0.154760i
\(119\) −18.6251 + 5.46884i −1.70736 + 0.501327i
\(120\) −0.654861 + 0.755750i −0.0597803 + 0.0689902i
\(121\) −8.75847 2.57172i −0.796224 0.233793i
\(122\) 1.80393 1.15932i 0.163320 0.104960i
\(123\) −1.35465 2.96628i −0.122145 0.267460i
\(124\) 1.22809 + 1.41729i 0.110286 + 0.127277i
\(125\) −0.841254 0.540641i −0.0752440 0.0483564i
\(126\) 0.422773 2.94045i 0.0376636 0.261956i
\(127\) −2.85175 + 19.8343i −0.253052 + 1.76001i 0.326613 + 0.945158i \(0.394093\pi\)
−0.579665 + 0.814855i \(0.696816\pi\)
\(128\) −0.841254 0.540641i −0.0743570 0.0477863i
\(129\) −2.20455 2.54419i −0.194100 0.224004i
\(130\) 0.116107 + 0.254239i 0.0101833 + 0.0222983i
\(131\) 16.4253 10.5559i 1.43509 0.922274i 0.435329 0.900272i \(-0.356632\pi\)
0.999758 0.0220025i \(-0.00700417\pi\)
\(132\) 4.30472 + 1.26398i 0.374677 + 0.110015i
\(133\) −14.7948 + 17.0741i −1.28287 + 1.48051i
\(134\) −3.48748 + 1.02402i −0.301272 + 0.0884615i
\(135\) −0.415415 + 0.909632i −0.0357532 + 0.0782887i
\(136\) 0.929933 + 6.46782i 0.0797411 + 0.554611i
\(137\) −16.2436 −1.38779 −0.693893 0.720078i \(-0.744106\pi\)
−0.693893 + 0.720078i \(0.744106\pi\)
\(138\) 3.69490 3.05741i 0.314530 0.260264i
\(139\) 8.96268 0.760205 0.380102 0.924944i \(-0.375889\pi\)
0.380102 + 0.924944i \(0.375889\pi\)
\(140\) 0.422773 + 2.94045i 0.0357308 + 0.248513i
\(141\) 5.19542 11.3764i 0.437533 0.958065i
\(142\) 8.57564 2.51803i 0.719651 0.211309i
\(143\) 0.821162 0.947672i 0.0686690 0.0792483i
\(144\) −0.959493 0.281733i −0.0799577 0.0234777i
\(145\) 8.65680 5.56339i 0.718908 0.462014i
\(146\) −1.61024 3.52593i −0.133264 0.291808i
\(147\) −1.19510 1.37922i −0.0985703 0.113756i
\(148\) −5.88650 3.78303i −0.483868 0.310963i
\(149\) 3.07904 21.4152i 0.252245 1.75440i −0.332427 0.943129i \(-0.607867\pi\)
0.584671 0.811270i \(-0.301223\pi\)
\(150\) 0.142315 0.989821i 0.0116200 0.0808186i
\(151\) 11.3120 + 7.26977i 0.920556 + 0.591606i 0.912819 0.408364i \(-0.133901\pi\)
0.00773732 + 0.999970i \(0.497537\pi\)
\(152\) 4.98027 + 5.74753i 0.403953 + 0.466187i
\(153\) 2.71446 + 5.94384i 0.219451 + 0.480531i
\(154\) 11.2121 7.20557i 0.903495 0.580641i
\(155\) −1.79938 0.528347i −0.144530 0.0424378i
\(156\) −0.183032 + 0.211230i −0.0146543 + 0.0169119i
\(157\) −3.13121 + 0.919405i −0.249897 + 0.0733765i −0.404282 0.914634i \(-0.632479\pi\)
0.154385 + 0.988011i \(0.450660\pi\)
\(158\) −4.80647 + 10.5247i −0.382382 + 0.837301i
\(159\) 0.360426 + 2.50682i 0.0285836 + 0.198803i
\(160\) 1.00000 0.0790569
\(161\) 0.323824 14.2432i 0.0255209 1.12252i
\(162\) −1.00000 −0.0785674
\(163\) −0.589896 4.10282i −0.0462042 0.321357i −0.999795 0.0202515i \(-0.993553\pi\)
0.953591 0.301106i \(-0.0973558\pi\)
\(164\) −1.35465 + 2.96628i −0.105781 + 0.231627i
\(165\) −4.30472 + 1.26398i −0.335122 + 0.0984006i
\(166\) 0.201538 0.232588i 0.0156424 0.0180523i
\(167\) −22.8980 6.72346i −1.77190 0.520277i −0.777778 0.628539i \(-0.783653\pi\)
−0.994122 + 0.108262i \(0.965471\pi\)
\(168\) −2.49910 + 1.60607i −0.192810 + 0.123911i
\(169\) −5.36794 11.7542i −0.412919 0.904166i
\(170\) −4.27908 4.93832i −0.328190 0.378752i
\(171\) 6.39780 + 4.11161i 0.489252 + 0.314423i
\(172\) −0.479095 + 3.33218i −0.0365307 + 0.254076i
\(173\) −0.467021 + 3.24820i −0.0355069 + 0.246956i −0.999843 0.0177250i \(-0.994358\pi\)
0.964336 + 0.264681i \(0.0852667\pi\)
\(174\) 8.65680 + 5.56339i 0.656270 + 0.421759i
\(175\) −1.94539 2.24509i −0.147057 0.169713i
\(176\) −1.86374 4.08102i −0.140485 0.307618i
\(177\) −1.55475 + 0.999175i −0.116862 + 0.0751026i
\(178\) −4.49928 1.32111i −0.337235 0.0990213i
\(179\) 14.2244 16.4159i 1.06318 1.22698i 0.0902458 0.995920i \(-0.471235\pi\)
0.972939 0.231061i \(-0.0742198\pi\)
\(180\) 0.959493 0.281733i 0.0715164 0.0209991i
\(181\) −4.08783 + 8.95111i −0.303846 + 0.665330i −0.998542 0.0539728i \(-0.982812\pi\)
0.694696 + 0.719303i \(0.255539\pi\)
\(182\) 0.118164 + 0.821847i 0.00875888 + 0.0609193i
\(183\) −2.14434 −0.158514
\(184\) −4.73028 0.790239i −0.348721 0.0582572i
\(185\) 6.99730 0.514452
\(186\) −0.266890 1.85626i −0.0195693 0.136108i
\(187\) −12.1783 + 26.6667i −0.890565 + 1.95006i
\(188\) −12.0000 + 3.52351i −0.875188 + 0.256978i
\(189\) −1.94539 + 2.24509i −0.141506 + 0.163307i
\(190\) −7.29702 2.14260i −0.529381 0.155440i
\(191\) −17.0521 + 10.9587i −1.23385 + 0.792945i −0.984485 0.175466i \(-0.943857\pi\)
−0.249360 + 0.968411i \(0.580220\pi\)
\(192\) 0.415415 + 0.909632i 0.0299800 + 0.0656470i
\(193\) −1.07982 1.24618i −0.0777274 0.0897022i 0.715554 0.698558i \(-0.246174\pi\)
−0.793281 + 0.608855i \(0.791629\pi\)
\(194\) −7.01417 4.50773i −0.503588 0.323637i
\(195\) 0.0397766 0.276652i 0.00284846 0.0198115i
\(196\) −0.259720 + 1.80639i −0.0185515 + 0.129028i
\(197\) 8.08523 + 5.19606i 0.576048 + 0.370204i 0.795991 0.605309i \(-0.206950\pi\)
−0.219942 + 0.975513i \(0.570587\pi\)
\(198\) −2.93800 3.39063i −0.208795 0.240962i
\(199\) −5.36854 11.7555i −0.380565 0.833322i −0.998877 0.0473885i \(-0.984910\pi\)
0.618311 0.785933i \(-0.287817\pi\)
\(200\) −0.841254 + 0.540641i −0.0594856 + 0.0382291i
\(201\) 3.48748 + 1.02402i 0.245988 + 0.0722285i
\(202\) 2.36321 2.72729i 0.166275 0.191892i
\(203\) 29.3311 8.61240i 2.05864 0.604472i
\(204\) 2.71446 5.94384i 0.190050 0.416152i
\(205\) −0.464083 3.22777i −0.0324130 0.225437i
\(206\) −16.0116 −1.11558
\(207\) −4.76130 + 0.574445i −0.330933 + 0.0399267i
\(208\) 0.279497 0.0193796
\(209\) 4.85575 + 33.7725i 0.335879 + 2.33609i
\(210\) 1.23407 2.70223i 0.0851587 0.186472i
\(211\) 3.87293 1.13719i 0.266623 0.0782877i −0.145688 0.989331i \(-0.546540\pi\)
0.412312 + 0.911043i \(0.364721\pi\)
\(212\) 1.65850 1.91401i 0.113906 0.131455i
\(213\) −8.57564 2.51803i −0.587593 0.172533i
\(214\) −12.8725 + 8.27264i −0.879945 + 0.565506i
\(215\) −1.39847 3.06223i −0.0953751 0.208842i
\(216\) 0.654861 + 0.755750i 0.0445576 + 0.0514222i
\(217\) −4.68668 3.01195i −0.318153 0.204464i
\(218\) −0.853088 + 5.93336i −0.0577784 + 0.401858i
\(219\) −0.551643 + 3.83676i −0.0372766 + 0.259264i
\(220\) 3.77424 + 2.42556i 0.254459 + 0.163531i
\(221\) −1.19599 1.38025i −0.0804510 0.0928454i
\(222\) 2.90678 + 6.36497i 0.195091 + 0.427189i
\(223\) 24.2169 15.5632i 1.62168 1.04219i 0.666785 0.745250i \(-0.267670\pi\)
0.954896 0.296941i \(-0.0959666\pi\)
\(224\) 2.85035 + 0.836939i 0.190447 + 0.0559203i
\(225\) −0.654861 + 0.755750i −0.0436574 + 0.0503833i
\(226\) −5.62297 + 1.65105i −0.374034 + 0.109826i
\(227\) −9.19102 + 20.1255i −0.610029 + 1.33578i 0.312524 + 0.949910i \(0.398825\pi\)
−0.922554 + 0.385868i \(0.873902\pi\)
\(228\) −1.08232 7.52767i −0.0716781 0.498532i
\(229\) −11.9482 −0.789561 −0.394781 0.918775i \(-0.629179\pi\)
−0.394781 + 0.918775i \(0.629179\pi\)
\(230\) 4.40660 1.89259i 0.290562 0.124794i
\(231\) −13.3278 −0.876907
\(232\) −1.46447 10.1856i −0.0961472 0.668718i
\(233\) 1.58226 3.46467i 0.103657 0.226978i −0.850696 0.525658i \(-0.823819\pi\)
0.954353 + 0.298680i \(0.0965463\pi\)
\(234\) 0.268175 0.0787434i 0.0175312 0.00514762i
\(235\) 8.19007 9.45184i 0.534261 0.616570i
\(236\) 1.77327 + 0.520679i 0.115430 + 0.0338933i
\(237\) 9.73355 6.25537i 0.632262 0.406330i
\(238\) −8.06381 17.6573i −0.522699 1.14455i
\(239\) 14.5153 + 16.7515i 0.938915 + 1.08357i 0.996362 + 0.0852170i \(0.0271583\pi\)
−0.0574476 + 0.998349i \(0.518296\pi\)
\(240\) −0.841254 0.540641i −0.0543027 0.0348982i
\(241\) −0.431211 + 2.99914i −0.0277768 + 0.193192i −0.998985 0.0450397i \(-0.985659\pi\)
0.971208 + 0.238231i \(0.0765677\pi\)
\(242\) 1.29908 9.03531i 0.0835081 0.580812i
\(243\) 0.841254 + 0.540641i 0.0539664 + 0.0346821i
\(244\) 1.40424 + 1.62058i 0.0898974 + 0.103747i
\(245\) −0.758120 1.66005i −0.0484345 0.106057i
\(246\) 2.74330 1.76301i 0.174906 0.112405i
\(247\) −2.03949 0.598850i −0.129770 0.0381039i
\(248\) −1.22809 + 1.41729i −0.0779839 + 0.0899983i
\(249\) −0.295291 + 0.0867053i −0.0187133 + 0.00549473i
\(250\) 0.415415 0.909632i 0.0262732 0.0575302i
\(251\) −2.34695 16.3234i −0.148138 1.03033i −0.919264 0.393642i \(-0.871215\pi\)
0.771125 0.636683i \(-0.219694\pi\)
\(252\) 2.97069 0.187136
\(253\) −15.9364 14.4561i −1.00192 0.908848i
\(254\) −20.0383 −1.25731
\(255\) 0.929933 + 6.46782i 0.0582346 + 0.405031i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −17.8415 + 5.23875i −1.11293 + 0.326784i −0.785976 0.618258i \(-0.787839\pi\)
−0.326950 + 0.945042i \(0.606021\pi\)
\(258\) 2.20455 2.54419i 0.137250 0.158394i
\(259\) 19.9448 + 5.85631i 1.23931 + 0.363893i
\(260\) −0.235128 + 0.151108i −0.0145820 + 0.00937129i
\(261\) −4.27477 9.36044i −0.264601 0.579396i
\(262\) 12.7860 + 14.7559i 0.789924 + 0.911621i
\(263\) 7.32566 + 4.70791i 0.451719 + 0.290302i 0.746651 0.665216i \(-0.231661\pi\)
−0.294932 + 0.955518i \(0.595297\pi\)
\(264\) −0.638488 + 4.44078i −0.0392962 + 0.273311i
\(265\) −0.360426 + 2.50682i −0.0221408 + 0.153993i
\(266\) −19.0058 12.2143i −1.16532 0.748908i
\(267\) 3.07079 + 3.54388i 0.187929 + 0.216882i
\(268\) −1.50991 3.30625i −0.0922326 0.201961i
\(269\) −12.6062 + 8.10152i −0.768615 + 0.493959i −0.865237 0.501362i \(-0.832832\pi\)
0.0966228 + 0.995321i \(0.469196\pi\)
\(270\) −0.959493 0.281733i −0.0583929 0.0171457i
\(271\) 12.5636 14.4992i 0.763185 0.880763i −0.232591 0.972575i \(-0.574720\pi\)
0.995776 + 0.0918119i \(0.0292658\pi\)
\(272\) −6.26965 + 1.84093i −0.380153 + 0.111623i
\(273\) 0.344918 0.755265i 0.0208754 0.0457107i
\(274\) −2.31171 16.0783i −0.139655 0.971325i
\(275\) −4.48645 −0.270543
\(276\) 3.55213 + 3.22217i 0.213813 + 0.193952i
\(277\) −3.36978 −0.202470 −0.101235 0.994863i \(-0.532279\pi\)
−0.101235 + 0.994863i \(0.532279\pi\)
\(278\) 1.27552 + 8.87145i 0.0765007 + 0.532074i
\(279\) −0.779048 + 1.70588i −0.0466404 + 0.102128i
\(280\) −2.85035 + 0.836939i −0.170341 + 0.0500167i
\(281\) −14.8022 + 17.0826i −0.883025 + 1.01907i 0.116640 + 0.993174i \(0.462788\pi\)
−0.999665 + 0.0258911i \(0.991758\pi\)
\(282\) 12.0000 + 3.52351i 0.714588 + 0.209822i
\(283\) 0.460947 0.296233i 0.0274005 0.0176092i −0.526869 0.849947i \(-0.676634\pi\)
0.554269 + 0.832337i \(0.312998\pi\)
\(284\) 3.71284 + 8.13000i 0.220317 + 0.482426i
\(285\) 4.98027 + 5.74753i 0.295005 + 0.340454i
\(286\) 1.05489 + 0.677936i 0.0623769 + 0.0400872i
\(287\) 1.37865 9.58869i 0.0813789 0.566002i
\(288\) 0.142315 0.989821i 0.00838598 0.0583258i
\(289\) 21.6181 + 13.8931i 1.27165 + 0.817243i
\(290\) 6.73875 + 7.77693i 0.395713 + 0.456677i
\(291\) 3.46363 + 7.58430i 0.203042 + 0.444599i
\(292\) 3.26088 2.09564i 0.190828 0.122638i
\(293\) 13.3626 + 3.92360i 0.780649 + 0.229219i 0.647692 0.761903i \(-0.275735\pi\)
0.132957 + 0.991122i \(0.457553\pi\)
\(294\) 1.19510 1.37922i 0.0696997 0.0804378i
\(295\) −1.77327 + 0.520679i −0.103244 + 0.0303151i
\(296\) 2.90678 6.36497i 0.168953 0.369956i
\(297\) 0.638488 + 4.44078i 0.0370488 + 0.257680i
\(298\) 21.6354 1.25330
\(299\) 1.23163 0.528973i 0.0712271 0.0305913i
\(300\) 1.00000 0.0577350
\(301\) −1.42324 9.89886i −0.0820343 0.570561i
\(302\) −5.58591 + 12.2314i −0.321433 + 0.703840i
\(303\) −3.46255 + 1.01670i −0.198918 + 0.0584076i
\(304\) −4.98027 + 5.74753i −0.285638 + 0.329644i
\(305\) −2.05748 0.604129i −0.117811 0.0345924i
\(306\) −5.49703 + 3.53273i −0.314244 + 0.201953i
\(307\) 6.31691 + 13.8321i 0.360525 + 0.789440i 0.999791 + 0.0204542i \(0.00651122\pi\)
−0.639266 + 0.768986i \(0.720762\pi\)
\(308\) 8.72787 + 10.0725i 0.497317 + 0.573934i
\(309\) 13.4698 + 8.65650i 0.766269 + 0.492451i
\(310\) 0.266890 1.85626i 0.0151583 0.105429i
\(311\) −1.08179 + 7.52400i −0.0613426 + 0.426647i 0.935889 + 0.352294i \(0.114598\pi\)
−0.997232 + 0.0743530i \(0.976311\pi\)
\(312\) −0.235128 0.151108i −0.0133115 0.00855478i
\(313\) 0.697860 + 0.805373i 0.0394454 + 0.0455224i 0.775129 0.631802i \(-0.217685\pi\)
−0.735684 + 0.677325i \(0.763139\pi\)
\(314\) −1.35566 2.96849i −0.0765045 0.167522i
\(315\) −2.49910 + 1.60607i −0.140808 + 0.0904920i
\(316\) −11.1016 3.25973i −0.624514 0.183374i
\(317\) 11.8276 13.6498i 0.664306 0.766650i −0.319168 0.947698i \(-0.603403\pi\)
0.983474 + 0.181048i \(0.0579489\pi\)
\(318\) −2.43001 + 0.713514i −0.136268 + 0.0400119i
\(319\) 19.1785 41.9951i 1.07379 2.35128i
\(320\) 0.142315 + 0.989821i 0.00795564 + 0.0553327i
\(321\) 15.3016 0.854049
\(322\) 14.1443 1.70649i 0.788233 0.0950992i
\(323\) 49.6941 2.76505
\(324\) −0.142315 0.989821i −0.00790638 0.0549901i
\(325\) 0.116107 0.254239i 0.00644047 0.0141027i
\(326\) 3.97711 1.16778i 0.220271 0.0646775i
\(327\) 3.92548 4.53025i 0.217080 0.250523i
\(328\) −3.12887 0.918719i −0.172763 0.0507278i
\(329\) 31.2552 20.0865i 1.72315 1.10740i
\(330\) −1.86374 4.08102i −0.102595 0.224653i
\(331\) −11.9205 13.7570i −0.655212 0.756155i 0.326775 0.945102i \(-0.394038\pi\)
−0.981987 + 0.188947i \(0.939493\pi\)
\(332\) 0.258902 + 0.166386i 0.0142091 + 0.00913164i
\(333\) 0.995820 6.92608i 0.0545706 0.379547i
\(334\) 3.39630 23.6218i 0.185837 1.29253i
\(335\) 3.05771 + 1.96507i 0.167061 + 0.107363i
\(336\) −1.94539 2.24509i −0.106129 0.122480i
\(337\) −9.45066 20.6940i −0.514810 1.12728i −0.971367 0.237583i \(-0.923645\pi\)
0.456557 0.889694i \(-0.349082\pi\)
\(338\) 10.8706 6.98610i 0.591282 0.379994i
\(339\) 5.62297 + 1.65105i 0.305398 + 0.0896728i
\(340\) 4.27908 4.93832i 0.232066 0.267818i
\(341\) −8.07284 + 2.37040i −0.437169 + 0.128364i
\(342\) −3.15926 + 6.91782i −0.170833 + 0.374073i
\(343\) 2.18786 + 15.2169i 0.118133 + 0.821636i
\(344\) −3.36645 −0.181507
\(345\) −4.73028 0.790239i −0.254670 0.0425450i
\(346\) −3.28160 −0.176420
\(347\) −0.973313 6.76954i −0.0522502 0.363408i −0.999126 0.0418076i \(-0.986688\pi\)
0.946876 0.321600i \(-0.104221\pi\)
\(348\) −4.27477 + 9.36044i −0.229152 + 0.501772i
\(349\) −11.2867 + 3.31407i −0.604163 + 0.177398i −0.569487 0.822000i \(-0.692858\pi\)
−0.0346761 + 0.999399i \(0.511040\pi\)
\(350\) 1.94539 2.24509i 0.103985 0.120005i
\(351\) −0.268175 0.0787434i −0.0143141 0.00420301i
\(352\) 3.77424 2.42556i 0.201168 0.129283i
\(353\) 9.51396 + 20.8327i 0.506377 + 1.10881i 0.974344 + 0.225065i \(0.0722595\pi\)
−0.467967 + 0.883746i \(0.655013\pi\)
\(354\) −1.21027 1.39672i −0.0643251 0.0742351i
\(355\) −7.51885 4.83207i −0.399059 0.256460i
\(356\) 0.667347 4.64150i 0.0353693 0.245999i
\(357\) −2.76254 + 19.2139i −0.146209 + 1.01691i
\(358\) 18.2731 + 11.7434i 0.965766 + 0.620660i
\(359\) −0.909122 1.04918i −0.0479816 0.0553738i 0.731251 0.682108i \(-0.238937\pi\)
−0.779233 + 0.626734i \(0.784391\pi\)
\(360\) 0.415415 + 0.909632i 0.0218943 + 0.0479418i
\(361\) 32.6719 20.9970i 1.71957 1.10510i
\(362\) −9.44176 2.77235i −0.496248 0.145711i
\(363\) −5.97772 + 6.89865i −0.313749 + 0.362085i
\(364\) −0.796665 + 0.233922i −0.0417566 + 0.0122608i
\(365\) −1.61024 + 3.52593i −0.0842837 + 0.184556i
\(366\) −0.305171 2.12251i −0.0159515 0.110945i
\(367\) −11.0697 −0.577833 −0.288917 0.957354i \(-0.593295\pi\)
−0.288917 + 0.957354i \(0.593295\pi\)
\(368\) 0.109006 4.79459i 0.00568235 0.249935i
\(369\) −3.26096 −0.169759
\(370\) 0.995820 + 6.92608i 0.0517702 + 0.360070i
\(371\) −3.12539 + 6.84365i −0.162262 + 0.355305i
\(372\) 1.79938 0.528347i 0.0932937 0.0273935i
\(373\) 2.66672 3.07756i 0.138077 0.159350i −0.682499 0.730886i \(-0.739107\pi\)
0.820577 + 0.571536i \(0.193652\pi\)
\(374\) −28.1285 8.25926i −1.45449 0.427076i
\(375\) −0.841254 + 0.540641i −0.0434421 + 0.0279186i
\(376\) −5.19542 11.3764i −0.267933 0.586692i
\(377\) 1.88346 + 2.17363i 0.0970032 + 0.111948i
\(378\) −2.49910 1.60607i −0.128540 0.0826075i
\(379\) −3.70787 + 25.7888i −0.190460 + 1.32468i 0.640332 + 0.768099i \(0.278797\pi\)
−0.830792 + 0.556583i \(0.812112\pi\)
\(380\) 1.08232 7.52767i 0.0555216 0.386161i
\(381\) 16.8573 + 10.8335i 0.863625 + 0.555018i
\(382\) −13.2739 15.3189i −0.679154 0.783785i
\(383\) 4.65522 + 10.1935i 0.237871 + 0.520864i 0.990489 0.137593i \(-0.0439366\pi\)
−0.752618 + 0.658457i \(0.771209\pi\)
\(384\) −0.841254 + 0.540641i −0.0429300 + 0.0275895i
\(385\) −12.7880 3.75488i −0.651735 0.191367i
\(386\) 1.07982 1.24618i 0.0549616 0.0634291i
\(387\) −3.23008 + 0.948438i −0.164194 + 0.0482118i
\(388\) 3.46363 7.58430i 0.175839 0.385034i
\(389\) −5.47208 38.0592i −0.277445 1.92968i −0.359708 0.933065i \(-0.617124\pi\)
0.0822625 0.996611i \(-0.473785\pi\)
\(390\) 0.279497 0.0141529
\(391\) −24.1437 + 19.9781i −1.22100 + 1.01034i
\(392\) −1.82497 −0.0921749
\(393\) −2.77867 19.3261i −0.140165 0.974872i
\(394\) −3.99252 + 8.74241i −0.201140 + 0.440436i
\(395\) 11.1016 3.25973i 0.558583 0.164015i
\(396\) 2.93800 3.39063i 0.147640 0.170386i
\(397\) 17.9880 + 5.28176i 0.902793 + 0.265084i 0.700005 0.714138i \(-0.253181\pi\)
0.202789 + 0.979222i \(0.434999\pi\)
\(398\) 10.8718 6.98687i 0.544953 0.350220i
\(399\) 9.38518 + 20.5507i 0.469846 + 1.02882i
\(400\) −0.654861 0.755750i −0.0327430 0.0377875i
\(401\) −10.5999 6.81215i −0.529334 0.340182i 0.248521 0.968627i \(-0.420056\pi\)
−0.777855 + 0.628444i \(0.783692\pi\)
\(402\) −0.517273 + 3.59771i −0.0257992 + 0.179438i
\(403\) 0.0745950 0.518819i 0.00371584 0.0258442i
\(404\) 3.03585 + 1.95102i 0.151039 + 0.0970671i
\(405\) 0.654861 + 0.755750i 0.0325403 + 0.0375535i
\(406\) 12.6990 + 27.8069i 0.630240 + 1.38003i
\(407\) 26.4095 16.9724i 1.30907 0.841288i
\(408\) 6.26965 + 1.84093i 0.310394 + 0.0911398i
\(409\) −9.20203 + 10.6197i −0.455011 + 0.525111i −0.936182 0.351516i \(-0.885666\pi\)
0.481171 + 0.876627i \(0.340212\pi\)
\(410\) 3.12887 0.918719i 0.154524 0.0453723i
\(411\) −6.74785 + 14.7757i −0.332847 + 0.728833i
\(412\) −2.27868 15.8486i −0.112263 0.780803i
\(413\) −5.49022 −0.270156
\(414\) −1.24620 4.63109i −0.0612475 0.227606i
\(415\) −0.307758 −0.0151072
\(416\) 0.0397766 + 0.276652i 0.00195021 + 0.0135640i
\(417\) 3.72323 8.15274i 0.182327 0.399241i
\(418\) −32.7377 + 9.61265i −1.60125 + 0.470170i
\(419\) 13.2578 15.3003i 0.647684 0.747467i −0.333030 0.942916i \(-0.608071\pi\)
0.980714 + 0.195449i \(0.0626165\pi\)
\(420\) 2.85035 + 0.836939i 0.139083 + 0.0408384i
\(421\) 31.2210 20.0645i 1.52162 0.977883i 0.530095 0.847938i \(-0.322156\pi\)
0.991521 0.129945i \(-0.0414802\pi\)
\(422\) 1.67679 + 3.67167i 0.0816251 + 0.178734i
\(423\) −8.19007 9.45184i −0.398215 0.459564i
\(424\) 2.13055 + 1.36922i 0.103469 + 0.0664954i
\(425\) −0.929933 + 6.46782i −0.0451084 + 0.313736i
\(426\) 1.27196 8.84670i 0.0616269 0.428624i
\(427\) −5.35891 3.44396i −0.259336 0.166665i
\(428\) −10.0204 11.5641i −0.484354 0.558974i
\(429\) −0.520909 1.14063i −0.0251497 0.0550703i
\(430\) 2.83204 1.82004i 0.136573 0.0877701i
\(431\) 16.9649 + 4.98135i 0.817171 + 0.239943i 0.663497 0.748179i \(-0.269071\pi\)
0.153674 + 0.988122i \(0.450890\pi\)
\(432\) −0.654861 + 0.755750i −0.0315070 + 0.0363610i
\(433\) 13.5810 3.98774i 0.652661 0.191638i 0.0613928 0.998114i \(-0.480446\pi\)
0.591268 + 0.806475i \(0.298628\pi\)
\(434\) 2.31431 5.06762i 0.111090 0.243254i
\(435\) −1.46447 10.1856i −0.0702160 0.488363i
\(436\) −5.99437 −0.287078
\(437\) −11.0683 + 34.7527i −0.529469 + 1.66245i
\(438\) −3.87621 −0.185213
\(439\) 1.28351 + 8.92700i 0.0612586 + 0.426063i 0.997254 + 0.0740516i \(0.0235930\pi\)
−0.935996 + 0.352011i \(0.885498\pi\)
\(440\) −1.86374 + 4.08102i −0.0888502 + 0.194555i
\(441\) −1.75105 + 0.514154i −0.0833832 + 0.0244835i
\(442\) 1.19599 1.38025i 0.0568874 0.0656516i
\(443\) 30.0237 + 8.81575i 1.42647 + 0.418849i 0.901688 0.432388i \(-0.142329\pi\)
0.524781 + 0.851237i \(0.324147\pi\)
\(444\) −5.88650 + 3.78303i −0.279361 + 0.179534i
\(445\) 1.94798 + 4.26547i 0.0923429 + 0.202203i
\(446\) 18.8512 + 21.7555i 0.892632 + 1.03015i
\(447\) −18.2008 11.6970i −0.860871 0.553248i
\(448\) −0.422773 + 2.94045i −0.0199741 + 0.138923i
\(449\) −1.85041 + 12.8699i −0.0873264 + 0.607369i 0.898421 + 0.439136i \(0.144715\pi\)
−0.985747 + 0.168233i \(0.946194\pi\)
\(450\) −0.841254 0.540641i −0.0396571 0.0254861i
\(451\) −9.58071 11.0567i −0.451138 0.520641i
\(452\) −2.43448 5.33076i −0.114508 0.250738i
\(453\) 11.3120 7.26977i 0.531483 0.341564i
\(454\) −21.2287 6.23331i −0.996312 0.292544i
\(455\) 0.543729 0.627497i 0.0254904 0.0294175i
\(456\) 7.29702 2.14260i 0.341714 0.100336i
\(457\) 3.22525 7.06232i 0.150871 0.330362i −0.819073 0.573689i \(-0.805512\pi\)
0.969944 + 0.243328i \(0.0782390\pi\)
\(458\) −1.70041 11.8266i −0.0794550 0.552621i
\(459\) 6.53433 0.304997
\(460\) 2.50045 + 4.09240i 0.116584 + 0.190809i
\(461\) −10.1981 −0.474971 −0.237485 0.971391i \(-0.576323\pi\)
−0.237485 + 0.971391i \(0.576323\pi\)
\(462\) −1.89675 13.1922i −0.0882447 0.613755i
\(463\) −11.2194 + 24.5670i −0.521408 + 1.14172i 0.447496 + 0.894286i \(0.352316\pi\)
−0.968904 + 0.247437i \(0.920412\pi\)
\(464\) 9.87352 2.89913i 0.458367 0.134589i
\(465\) −1.22809 + 1.41729i −0.0569514 + 0.0657254i
\(466\) 3.65459 + 1.07308i 0.169295 + 0.0497096i
\(467\) 22.1513 14.2357i 1.02504 0.658752i 0.0837952 0.996483i \(-0.473296\pi\)
0.941243 + 0.337731i \(0.109659\pi\)
\(468\) 0.116107 + 0.254239i 0.00536706 + 0.0117522i
\(469\) 7.07091 + 8.16027i 0.326504 + 0.376806i
\(470\) 10.5212 + 6.76157i 0.485307 + 0.311888i
\(471\) −0.464430 + 3.23018i −0.0213998 + 0.148839i
\(472\) −0.263017 + 1.82932i −0.0121063 + 0.0842013i
\(473\) −12.7058 8.16551i −0.584213 0.375451i
\(474\) 7.57693 + 8.74424i 0.348020 + 0.401636i
\(475\) 3.15926 + 6.91782i 0.144957 + 0.317411i
\(476\) 16.3299 10.4946i 0.748482 0.481020i
\(477\) 2.43001 + 0.713514i 0.111262 + 0.0326696i
\(478\) −14.5153 + 16.7515i −0.663913 + 0.766197i
\(479\) −18.7612 + 5.50879i −0.857222 + 0.251703i −0.680672 0.732589i \(-0.738312\pi\)
−0.176550 + 0.984292i \(0.556494\pi\)
\(480\) 0.415415 0.909632i 0.0189610 0.0415188i
\(481\) 0.278329 + 1.93582i 0.0126907 + 0.0882657i
\(482\) −3.02998 −0.138012
\(483\) −12.8216 6.21141i −0.583402 0.282629i
\(484\) 9.12822 0.414919
\(485\) 1.18659 + 8.25290i 0.0538802 + 0.374745i
\(486\) −0.415415 + 0.909632i −0.0188436 + 0.0412617i
\(487\) −26.6834 + 7.83496i −1.20914 + 0.355036i −0.823341 0.567547i \(-0.807893\pi\)
−0.385800 + 0.922582i \(0.626075\pi\)
\(488\) −1.40424 + 1.62058i −0.0635670 + 0.0733603i
\(489\) −3.97711 1.16778i −0.179851 0.0528090i
\(490\) 1.53526 0.986654i 0.0693561 0.0445725i
\(491\) 0.662772 + 1.45127i 0.0299105 + 0.0654948i 0.923998 0.382398i \(-0.124902\pi\)
−0.894087 + 0.447893i \(0.852175\pi\)
\(492\) 2.13548 + 2.46447i 0.0962747 + 0.111107i
\(493\) −56.5664 36.3530i −2.54762 1.63726i
\(494\) 0.302504 2.10396i 0.0136103 0.0946617i
\(495\) −0.638488 + 4.44078i −0.0286979 + 0.199598i
\(496\) −1.57764 1.01389i −0.0708383 0.0455250i
\(497\) −17.3872 20.0659i −0.779923 0.900080i
\(498\) −0.127847 0.279946i −0.00572897 0.0125447i
\(499\) 3.49793 2.24799i 0.156589 0.100634i −0.460000 0.887919i \(-0.652151\pi\)
0.616589 + 0.787285i \(0.288514\pi\)
\(500\) 0.959493 + 0.281733i 0.0429098 + 0.0125995i
\(501\) −15.6280 + 18.0357i −0.698210 + 0.805777i
\(502\) 15.8233 4.64613i 0.706227 0.207367i
\(503\) 12.7028 27.8153i 0.566391 1.24022i −0.382306 0.924036i \(-0.624870\pi\)
0.948697 0.316187i \(-0.102403\pi\)
\(504\) 0.422773 + 2.94045i 0.0188318 + 0.130978i
\(505\) −3.60873 −0.160586
\(506\) 12.0410 17.8315i 0.535287 0.792709i
\(507\) −12.9219 −0.573881
\(508\) −2.85175 19.8343i −0.126526 0.880007i
\(509\) −14.4996 + 31.7497i −0.642684 + 1.40728i 0.255130 + 0.966907i \(0.417882\pi\)
−0.897814 + 0.440375i \(0.854845\pi\)
\(510\) −6.26965 + 1.84093i −0.277625 + 0.0815180i
\(511\) −7.54073 + 8.70246i −0.333582 + 0.384974i
\(512\) 0.959493 + 0.281733i 0.0424040 + 0.0124509i
\(513\) 6.39780 4.11161i 0.282470 0.181532i
\(514\) −7.72454 16.9144i −0.340715 0.746062i
\(515\) 10.4853 + 12.1007i 0.462039 + 0.533222i
\(516\) 2.83204 + 1.82004i 0.124673 + 0.0801227i
\(517\) 7.98531 55.5390i 0.351193 2.44260i
\(518\) −2.95827 + 20.5752i −0.129979 + 0.904022i
\(519\) 2.76066 + 1.77417i 0.121180 + 0.0778774i
\(520\) −0.183032 0.211230i −0.00802647 0.00926304i
\(521\) −0.267108 0.584884i −0.0117022 0.0256242i 0.903691 0.428186i \(-0.140847\pi\)
−0.915393 + 0.402562i \(0.868120\pi\)
\(522\) 8.65680 5.56339i 0.378898 0.243503i
\(523\) −23.0050 6.75487i −1.00594 0.295370i −0.263047 0.964783i \(-0.584727\pi\)
−0.742890 + 0.669413i \(0.766546\pi\)
\(524\) −12.7860 + 14.7559i −0.558560 + 0.644613i
\(525\) −2.85035 + 0.836939i −0.124400 + 0.0365270i
\(526\) −3.61744 + 7.92110i −0.157728 + 0.345376i
\(527\) 1.74395 + 12.1294i 0.0759676 + 0.528366i
\(528\) −4.48645 −0.195248
\(529\) −8.59385 21.3341i −0.373646 0.927572i
\(530\) −2.53259 −0.110009
\(531\) 0.263017 + 1.82932i 0.0114139 + 0.0793857i
\(532\) 9.38518 20.5507i 0.406899 0.890984i
\(533\) 0.874510 0.256779i 0.0378792 0.0111223i
\(534\) −3.07079 + 3.54388i −0.132886 + 0.153359i
\(535\) 14.6817 + 4.31095i 0.634747 + 0.186378i
\(536\) 3.05771 1.96507i 0.132073 0.0848782i
\(537\) −9.02337 19.7584i −0.389387 0.852639i
\(538\) −9.81311 11.3249i −0.423073 0.488253i
\(539\) −6.88788 4.42657i −0.296682 0.190666i
\(540\) 0.142315 0.989821i 0.00612426 0.0425951i
\(541\) 1.44640 10.0600i 0.0621857 0.432511i −0.934816 0.355132i \(-0.884436\pi\)
0.997002 0.0773789i \(-0.0246551\pi\)
\(542\) 16.1396 + 10.3723i 0.693255 + 0.445528i
\(543\) 6.44407 + 7.43685i 0.276541 + 0.319146i
\(544\) −2.71446 5.94384i −0.116382 0.254840i
\(545\) 5.04279 3.24080i 0.216009 0.138821i
\(546\) 0.796665 + 0.233922i 0.0340941 + 0.0100109i
\(547\) −19.0726 + 22.0109i −0.815485 + 0.941120i −0.999123 0.0418738i \(-0.986667\pi\)
0.183638 + 0.982994i \(0.441213\pi\)
\(548\) 15.5856 4.57636i 0.665786 0.195492i
\(549\) −0.890790 + 1.95056i −0.0380180 + 0.0832478i
\(550\) −0.638488 4.44078i −0.0272252 0.189356i
\(551\) −78.2589 −3.33394
\(552\) −2.68385 + 3.97453i −0.114232 + 0.169167i
\(553\) 34.3717 1.46163
\(554\) −0.479570 3.33548i −0.0203750 0.141711i
\(555\) 2.90678 6.36497i 0.123386 0.270178i
\(556\) −8.59963 + 2.52508i −0.364705 + 0.107087i
\(557\) −15.4589 + 17.8405i −0.655014 + 0.755926i −0.981954 0.189119i \(-0.939437\pi\)
0.326941 + 0.945045i \(0.393982\pi\)
\(558\) −1.79938 0.528347i −0.0761740 0.0223667i
\(559\) 0.791546 0.508696i 0.0334788 0.0215155i
\(560\) −1.23407 2.70223i −0.0521489 0.114190i
\(561\) 19.1979 + 22.1555i 0.810535 + 0.935407i
\(562\) −19.0153 12.2204i −0.802114 0.515487i
\(563\) 2.38606 16.5954i 0.100560 0.699412i −0.875707 0.482843i \(-0.839604\pi\)
0.976267 0.216569i \(-0.0694867\pi\)
\(564\) −1.77987 + 12.3793i −0.0749461 + 0.521262i
\(565\) 4.93004 + 3.16834i 0.207408 + 0.133293i
\(566\) 0.358817 + 0.414097i 0.0150822 + 0.0174058i
\(567\) 1.23407 + 2.70223i 0.0518260 + 0.113483i
\(568\) −7.51885 + 4.83207i −0.315484 + 0.202749i
\(569\) −18.7055 5.49242i −0.784174 0.230254i −0.134951 0.990852i \(-0.543088\pi\)
−0.649223 + 0.760598i \(0.724906\pi\)
\(570\) −4.98027 + 5.74753i −0.208600 + 0.240738i
\(571\) 0.515435 0.151345i 0.0215703 0.00633361i −0.270930 0.962599i \(-0.587331\pi\)
0.292500 + 0.956266i \(0.405513\pi\)
\(572\) −0.520909 + 1.14063i −0.0217803 + 0.0476922i
\(573\) 2.88470 + 20.0635i 0.120510 + 0.838166i
\(574\) 9.68729 0.404340
\(575\) −4.31603 2.09090i −0.179991 0.0871966i
\(576\) 1.00000 0.0416667
\(577\) −0.479031 3.33174i −0.0199423 0.138702i 0.977418 0.211316i \(-0.0677749\pi\)
−0.997360 + 0.0726141i \(0.976866\pi\)
\(578\) −10.6751 + 23.3753i −0.444027 + 0.972284i
\(579\) −1.58214 + 0.464559i −0.0657516 + 0.0193064i
\(580\) −6.73875 + 7.77693i −0.279811 + 0.322919i
\(581\) −0.877217 0.257574i −0.0363931 0.0106860i
\(582\) −7.01417 + 4.50773i −0.290747 + 0.186852i
\(583\) 4.72009 + 10.3356i 0.195486 + 0.428055i
\(584\) 2.53838 + 2.92945i 0.105039 + 0.121221i
\(585\) −0.235128 0.151108i −0.00972134 0.00624753i
\(586\) −1.98197 + 13.7849i −0.0818746 + 0.569450i
\(587\) 3.05647 21.2582i 0.126154 0.877419i −0.824211 0.566282i \(-0.808381\pi\)
0.950365 0.311137i \(-0.100710\pi\)
\(588\) 1.53526 + 0.986654i 0.0633132 + 0.0406889i
\(589\) 9.33974 + 10.7786i 0.384837 + 0.444126i
\(590\) −0.767742 1.68112i −0.0316074 0.0692106i
\(591\) 8.08523 5.19606i 0.332582 0.213737i
\(592\) 6.71386 + 1.97137i 0.275938 + 0.0810227i
\(593\) −21.4953 + 24.8069i −0.882705 + 1.01870i 0.116969 + 0.993136i \(0.462682\pi\)
−0.999673 + 0.0255599i \(0.991863\pi\)
\(594\) −4.30472 + 1.26398i −0.176625 + 0.0518617i
\(595\) −8.06381 + 17.6573i −0.330584 + 0.723878i
\(596\) 3.07904 + 21.4152i 0.126122 + 0.877200i
\(597\) −12.9233 −0.528916
\(598\) 0.698869 + 1.14381i 0.0285789 + 0.0467740i
\(599\) −5.07987 −0.207558 −0.103779 0.994600i \(-0.533093\pi\)
−0.103779 + 0.994600i \(0.533093\pi\)
\(600\) 0.142315 + 0.989821i 0.00580998 + 0.0404093i
\(601\) 8.99280 19.6915i 0.366824 0.803232i −0.632759 0.774349i \(-0.718078\pi\)
0.999583 0.0288835i \(-0.00919519\pi\)
\(602\) 9.59556 2.81751i 0.391086 0.114833i
\(603\) 2.38023 2.74693i 0.0969304 0.111864i
\(604\) −12.9019 3.78834i −0.524971 0.154145i
\(605\) −7.67915 + 4.93509i −0.312202 + 0.200640i
\(606\) −1.49912 3.28261i −0.0608975 0.133347i
\(607\) 4.27230 + 4.93049i 0.173407 + 0.200123i 0.835800 0.549034i \(-0.185004\pi\)
−0.662393 + 0.749157i \(0.730459\pi\)
\(608\) −6.39780 4.11161i −0.259465 0.166748i
\(609\) 4.35048 30.2582i 0.176290 1.22613i
\(610\) 0.305171 2.12251i 0.0123560 0.0859379i
\(611\) 2.94065 + 1.88984i 0.118966 + 0.0764547i
\(612\) −4.27908 4.93832i −0.172971 0.199620i
\(613\) 9.10291 + 19.9326i 0.367663 + 0.805070i 0.999550 + 0.0300090i \(0.00955361\pi\)
−0.631886 + 0.775061i \(0.717719\pi\)
\(614\) −12.7923 + 8.22113i −0.516256 + 0.331778i
\(615\) −3.12887 0.918719i −0.126168 0.0370463i
\(616\) −8.72787 + 10.0725i −0.351656 + 0.405833i
\(617\) −34.3321 + 10.0808i −1.38216 + 0.405838i −0.886520 0.462691i \(-0.846884\pi\)
−0.495638 + 0.868529i \(0.665066\pi\)
\(618\) −6.65144 + 14.5646i −0.267560 + 0.585875i
\(619\) −2.04864 14.2486i −0.0823417 0.572699i −0.988668 0.150120i \(-0.952034\pi\)
0.906326 0.422579i \(-0.138875\pi\)
\(620\) 1.87535 0.0753158
\(621\) −1.45538 + 4.56967i −0.0584025 + 0.183374i
\(622\) −7.60137 −0.304787
\(623\) 1.98248 + 13.7884i 0.0794263 + 0.552422i
\(624\) 0.116107 0.254239i 0.00464801 0.0101777i
\(625\) −0.959493 + 0.281733i −0.0383797 + 0.0112693i
\(626\) −0.697860 + 0.805373i −0.0278921 + 0.0321892i
\(627\) 32.7377 + 9.61265i 1.30742 + 0.383892i
\(628\) 2.74534 1.76432i 0.109551 0.0704042i
\(629\) −18.9939 41.5908i −0.757336 1.65833i
\(630\) −1.94539 2.24509i −0.0775060 0.0894467i
\(631\) −38.3194 24.6264i −1.52547 0.980362i −0.990805 0.135300i \(-0.956800\pi\)
−0.534668 0.845062i \(-0.679563\pi\)
\(632\) 1.64662 11.4525i 0.0654992 0.455557i
\(633\) 0.574444 3.99535i 0.0228321 0.158801i
\(634\) 15.1941 + 9.76468i 0.603436 + 0.387805i
\(635\) 13.1223 + 15.1439i 0.520743 + 0.600969i
\(636\) −1.05208 2.30373i −0.0417176 0.0913488i
\(637\) 0.429101 0.275767i 0.0170016 0.0109263i
\(638\) 44.2971 + 13.0068i 1.75374 + 0.514944i
\(639\) −5.85293 + 6.75464i −0.231538 + 0.267210i
\(640\) −0.959493 + 0.281733i −0.0379273 + 0.0111365i
\(641\) −9.53784 + 20.8849i −0.376722 + 0.824906i 0.622387 + 0.782709i \(0.286163\pi\)
−0.999109 + 0.0421966i \(0.986564\pi\)
\(642\) 2.17764 + 15.1458i 0.0859445 + 0.597757i
\(643\) −5.03018 −0.198371 −0.0991854 0.995069i \(-0.531624\pi\)
−0.0991854 + 0.995069i \(0.531624\pi\)
\(644\) 3.70207 + 13.7575i 0.145882 + 0.542122i
\(645\) −3.36645 −0.132554
\(646\) 7.07221 + 49.1883i 0.278252 + 1.93529i
\(647\) 18.0955 39.6236i 0.711408 1.55777i −0.114160 0.993462i \(-0.536418\pi\)
0.825567 0.564303i \(-0.190855\pi\)
\(648\) 0.959493 0.281733i 0.0376924 0.0110675i
\(649\) −5.42981 + 6.26633i −0.213139 + 0.245975i
\(650\) 0.268175 + 0.0787434i 0.0105187 + 0.00308857i
\(651\) −4.68668 + 3.01195i −0.183686 + 0.118048i
\(652\) 1.72190 + 3.77043i 0.0674347 + 0.147661i
\(653\) −14.0683 16.2356i −0.550534 0.635350i 0.410474 0.911873i \(-0.365363\pi\)
−0.961007 + 0.276523i \(0.910818\pi\)
\(654\) 5.04279 + 3.24080i 0.197189 + 0.126725i
\(655\) 2.77867 19.3261i 0.108572 0.755132i
\(656\) 0.464083 3.22777i 0.0181194 0.126023i
\(657\) 3.26088 + 2.09564i 0.127219 + 0.0817587i
\(658\) 24.3301 + 28.0785i 0.948487 + 1.09461i
\(659\) 14.9972 + 32.8393i 0.584208 + 1.27924i 0.938879 + 0.344246i \(0.111866\pi\)
−0.354671 + 0.934991i \(0.615407\pi\)
\(660\) 3.77424 2.42556i 0.146912 0.0944147i
\(661\) 19.4801 + 5.71988i 0.757689 + 0.222478i 0.637687 0.770296i \(-0.279891\pi\)
0.120003 + 0.992774i \(0.461710\pi\)
\(662\) 11.9205 13.7570i 0.463305 0.534683i
\(663\) −1.75235 + 0.514536i −0.0680556 + 0.0199829i
\(664\) −0.127847 + 0.279946i −0.00496143 + 0.0108640i
\(665\) 3.21522 + 22.3623i 0.124681 + 0.867174i
\(666\) 6.99730 0.271140
\(667\) 38.0218 31.4618i 1.47221 1.21821i
\(668\) 23.8647 0.923352
\(669\) −4.09677 28.4936i −0.158390 1.10163i
\(670\) −1.50991 + 3.30625i −0.0583330 + 0.127732i
\(671\) −9.23076 + 2.71040i −0.356350 + 0.104634i
\(672\) 1.94539 2.24509i 0.0750449 0.0866064i
\(673\) −29.3016 8.60374i −1.12949 0.331650i −0.336986 0.941510i \(-0.609407\pi\)
−0.792509 + 0.609860i \(0.791226\pi\)
\(674\) 19.1384 12.2995i 0.737185 0.473760i
\(675\) 0.415415 + 0.909632i 0.0159893 + 0.0350118i
\(676\) 8.46203 + 9.76571i 0.325463 + 0.375604i
\(677\) 38.1023 + 24.4869i 1.46439 + 0.941107i 0.998413 + 0.0563108i \(0.0179338\pi\)
0.465978 + 0.884796i \(0.345703\pi\)
\(678\) −0.834015 + 5.80070i −0.0320301 + 0.222775i
\(679\) −3.52498 + 24.5168i −0.135276 + 0.940867i
\(680\) 5.49703 + 3.53273i 0.210802 + 0.135474i
\(681\) 14.4887 + 16.7209i 0.555210 + 0.640746i
\(682\) −3.49516 7.65333i −0.133837 0.293061i
\(683\) −1.47171 + 0.945813i −0.0563136 + 0.0361905i −0.568495 0.822687i \(-0.692474\pi\)
0.512181 + 0.858877i \(0.328838\pi\)
\(684\) −7.29702 2.14260i −0.279008 0.0819243i
\(685\) −10.6373 + 12.2761i −0.406431 + 0.469046i
\(686\) −14.7507 + 4.33118i −0.563183 + 0.165365i
\(687\) −4.96347 + 10.8685i −0.189368 + 0.414659i
\(688\) −0.479095 3.33218i −0.0182653 0.127038i
\(689\) −0.707853 −0.0269670
\(690\) 0.109006 4.79459i 0.00414980 0.182527i
\(691\) 19.1652 0.729078 0.364539 0.931188i \(-0.381227\pi\)
0.364539 + 0.931188i \(0.381227\pi\)
\(692\) −0.467021 3.24820i −0.0177535 0.123478i
\(693\) −5.53658 + 12.1234i −0.210317 + 0.460531i
\(694\) 6.56212 1.92681i 0.249095 0.0731408i
\(695\) 5.86931 6.77354i 0.222636 0.256935i
\(696\) −9.87352 2.89913i −0.374255 0.109891i
\(697\) −17.9256 + 11.5201i −0.678981 + 0.436355i
\(698\) −4.88661 10.7002i −0.184961 0.405008i
\(699\) −2.49428 2.87855i −0.0943423 0.108877i
\(700\) 2.49910 + 1.60607i 0.0944571 + 0.0607039i
\(701\) −2.89601 + 20.1422i −0.109381 + 0.760760i 0.859125 + 0.511767i \(0.171009\pi\)
−0.968505 + 0.248993i \(0.919900\pi\)
\(702\) 0.0397766 0.276652i 0.00150127 0.0104416i
\(703\) −44.7673 28.7702i −1.68843 1.08509i
\(704\) 2.93800 + 3.39063i 0.110730 + 0.127789i
\(705\) −5.19542 11.3764i −0.195671 0.428460i
\(706\) −19.2666 + 12.3819i −0.725110 + 0.466000i
\(707\) −10.2861 3.02028i −0.386850 0.113589i
\(708\) 1.21027 1.39672i 0.0454847 0.0524921i
\(709\) 25.1246 7.37723i 0.943572 0.277058i 0.226464 0.974020i \(-0.427283\pi\)
0.717108 + 0.696962i \(0.245465\pi\)
\(710\) 3.71284 8.13000i 0.139341 0.305113i
\(711\) −1.64662 11.4525i −0.0617532 0.429503i
\(712\) 4.68923 0.175736
\(713\) −8.87092 1.48197i −0.332219 0.0555003i
\(714\) −19.4114 −0.726455
\(715\) −0.178456 1.24119i −0.00667386 0.0464177i
\(716\) −9.02337 + 19.7584i −0.337219 + 0.738407i
\(717\) 21.2676 6.24472i 0.794252 0.233213i
\(718\) 0.909122 1.04918i 0.0339281 0.0391552i
\(719\) 8.91335 + 2.61720i 0.332412 + 0.0976050i 0.443680 0.896186i \(-0.353673\pi\)
−0.111267 + 0.993790i \(0.535491\pi\)
\(720\) −0.841254 + 0.540641i −0.0313517 + 0.0201485i
\(721\) 19.7593 + 43.2669i 0.735876 + 1.61134i
\(722\) 25.4329 + 29.3512i 0.946516 + 1.09234i
\(723\) 2.54898 + 1.63813i 0.0947977 + 0.0609228i
\(724\) 1.40043 9.74020i 0.0520465 0.361992i
\(725\) 1.46447 10.1856i 0.0543891 0.378284i
\(726\) −7.67915 4.93509i −0.285000 0.183158i
\(727\) 7.63395 + 8.81005i 0.283128 + 0.326747i 0.879444 0.476003i \(-0.157915\pi\)
−0.596316 + 0.802750i \(0.703369\pi\)
\(728\) −0.344918 0.755265i −0.0127835 0.0279920i
\(729\) 0.841254 0.540641i 0.0311575 0.0200237i
\(730\) −3.71920 1.09206i −0.137654 0.0404188i
\(731\) −14.4053 + 16.6246i −0.532799 + 0.614883i
\(732\) 2.05748 0.604129i 0.0760465 0.0223293i
\(733\) −1.76655 + 3.86821i −0.0652490 + 0.142875i −0.939447 0.342694i \(-0.888661\pi\)
0.874198 + 0.485570i \(0.161388\pi\)
\(734\) −1.57538 10.9570i −0.0581484 0.404431i
\(735\) −1.82497 −0.0673150
\(736\) 4.76130 0.574445i 0.175504 0.0211743i
\(737\) 16.3069 0.600674
\(738\) −0.464083 3.22777i −0.0170831 0.118816i
\(739\) 17.4827 38.2818i 0.643112 1.40822i −0.254344 0.967114i \(-0.581859\pi\)
0.897456 0.441105i \(-0.145413\pi\)
\(740\) −6.71386 + 1.97137i −0.246806 + 0.0724689i
\(741\) −1.39197 + 1.60642i −0.0511353 + 0.0590133i
\(742\) −7.21879 2.11963i −0.265010 0.0778139i
\(743\) 5.80441 3.73027i 0.212943 0.136850i −0.429822 0.902914i \(-0.641424\pi\)
0.642765 + 0.766064i \(0.277787\pi\)
\(744\) 0.779048 + 1.70588i 0.0285613 + 0.0625405i
\(745\) −14.1682 16.3509i −0.519081 0.599052i
\(746\) 3.42574 + 2.20159i 0.125425 + 0.0806060i
\(747\) −0.0437985 + 0.304625i −0.00160250 + 0.0111456i
\(748\) 4.17210 29.0176i 0.152547 1.06099i
\(749\) 38.2401 + 24.5754i 1.39726 + 0.897966i
\(750\) −0.654861 0.755750i −0.0239121 0.0275961i
\(751\) 19.5460 + 42.7998i 0.713244 + 1.56179i 0.823136 + 0.567844i \(0.192222\pi\)
−0.109892 + 0.993944i \(0.535050\pi\)
\(752\) 10.5212 6.76157i 0.383669 0.246569i
\(753\) −15.8233 4.64613i −0.576632 0.169314i
\(754\) −1.88346 + 2.17363i −0.0685916 + 0.0791589i
\(755\) 12.9019 3.78834i 0.469548 0.137872i
\(756\) 1.23407 2.70223i 0.0448826 0.0982792i
\(757\) 1.74734 + 12.1530i 0.0635080 + 0.441708i 0.996622 + 0.0821268i \(0.0261713\pi\)
−0.933114 + 0.359581i \(0.882920\pi\)
\(758\) −26.0540 −0.946324
\(759\) −19.7700 + 8.49101i −0.717605 + 0.308204i
\(760\) 7.60508 0.275865
\(761\) 3.44539 + 23.9632i 0.124895 + 0.868666i 0.951886 + 0.306451i \(0.0991416\pi\)
−0.826991 + 0.562215i \(0.809949\pi\)
\(762\) −8.32421 + 18.2275i −0.301554 + 0.660312i
\(763\) 17.0861 5.01692i 0.618557 0.181625i
\(764\) 13.2739 15.3189i 0.480234 0.554220i
\(765\) 6.26965 + 1.84093i 0.226680 + 0.0665591i
\(766\) −9.42725 + 6.05853i −0.340620 + 0.218903i
\(767\) −0.214582 0.469868i −0.00774809 0.0169659i
\(768\) −0.654861 0.755750i −0.0236303 0.0272708i
\(769\) −13.3604 8.58618i −0.481787 0.309626i 0.277108 0.960839i \(-0.410624\pi\)
−0.758895 + 0.651213i \(0.774260\pi\)
\(770\) 1.89675 13.1922i 0.0683540 0.475413i
\(771\) −2.64631 + 18.4055i −0.0953046 + 0.662858i
\(772\) 1.38717 + 0.891482i 0.0499255 + 0.0320852i
\(773\) −1.69391 1.95487i −0.0609256 0.0703119i 0.724469 0.689308i \(-0.242085\pi\)
−0.785394 + 0.618996i \(0.787540\pi\)
\(774\) −1.39847 3.06223i −0.0502671 0.110070i
\(775\) −1.57764 + 1.01389i −0.0566706 + 0.0364200i
\(776\) 8.00002 + 2.34902i 0.287184 + 0.0843249i
\(777\) 13.6124 15.7096i 0.488344 0.563579i
\(778\) 36.8930 10.8328i 1.32268 0.388373i
\(779\) −10.3022 + 22.5588i −0.369116 + 0.808251i
\(780\) 0.0397766 + 0.276652i 0.00142423 + 0.00990574i
\(781\) −40.0984 −1.43483
\(782\) −23.2108 21.0547i −0.830016 0.752916i
\(783\) −10.2904 −0.367747
\(784\) −0.259720 1.80639i −0.00927573 0.0645141i
\(785\) −1.35566 + 2.96849i −0.0483857 + 0.105950i
\(786\) 18.7339 5.50077i 0.668217 0.196206i
\(787\) 13.1038 15.1226i 0.467101 0.539063i −0.472502 0.881330i \(-0.656649\pi\)
0.939603 + 0.342266i \(0.111194\pi\)
\(788\) −9.22162 2.70771i −0.328506 0.0964582i
\(789\) 7.32566 4.70791i 0.260800 0.167606i
\(790\) 4.80647 + 10.5247i 0.171007 + 0.374452i
\(791\) 11.4006 + 13.1570i 0.405360 + 0.467810i
\(792\) 3.77424 + 2.42556i 0.134112 + 0.0861884i
\(793\) 0.0852944 0.593235i 0.00302889 0.0210664i
\(794\) −2.66804 + 18.5566i −0.0946851 + 0.658550i
\(795\) 2.13055 + 1.36922i 0.0755630 + 0.0485614i
\(796\) 8.46297 + 9.76678i 0.299962 + 0.346174i
\(797\) −16.9756 37.1714i −0.601306 1.31668i −0.928364 0.371673i \(-0.878784\pi\)
0.327057 0.945005i \(-0.393943\pi\)
\(798\) −19.0058 + 12.2143i −0.672800 + 0.432382i
\(799\) −78.4119 23.0238i −2.77401 0.814523i
\(800\) 0.654861 0.755750i 0.0231528 0.0267198i
\(801\) 4.49928 1.32111i 0.158974 0.0466791i
\(802\) 5.23428 11.4615i 0.184829 0.404719i
\(803\) 2.47492 + 17.2134i 0.0873379 + 0.607449i
\(804\) −3.63471 −0.128186
\(805\) −10.5523 9.57206i −0.371918 0.337371i
\(806\) 0.524155 0.0184626
\(807\) 2.13259 + 14.8325i 0.0750708 + 0.522129i
\(808\) −1.49912 + 3.28261i −0.0527388 + 0.115482i
\(809\) −14.4782 + 4.25117i −0.509025 + 0.149463i −0.526153 0.850390i \(-0.676366\pi\)
0.0171276 + 0.999853i \(0.494548\pi\)
\(810\) −0.654861 + 0.755750i −0.0230095 + 0.0265543i
\(811\) −8.49116 2.49323i −0.298165 0.0875492i 0.129228 0.991615i \(-0.458750\pi\)
−0.427394 + 0.904066i \(0.640568\pi\)
\(812\) −25.7166 + 16.5271i −0.902476 + 0.579986i
\(813\) −7.96981 17.4514i −0.279513 0.612049i
\(814\) 20.5581 + 23.7253i 0.720560 + 0.831570i
\(815\) −3.48700 2.24096i −0.122144 0.0784974i
\(816\) −0.929933 + 6.46782i −0.0325542 + 0.226419i
\(817\) −3.64356 + 25.3415i −0.127472 + 0.886587i
\(818\) −11.8212 7.59702i −0.413318 0.265624i
\(819\) −0.543729 0.627497i −0.0189994 0.0219265i
\(820\) 1.35465 + 2.96628i 0.0473065 + 0.103587i
\(821\) 1.29194 0.830282i 0.0450892 0.0289771i −0.517902 0.855440i \(-0.673287\pi\)
0.562991 + 0.826463i \(0.309650\pi\)
\(822\) −15.5856 4.57636i −0.543612 0.159619i
\(823\) 21.2621 24.5378i 0.741151 0.855334i −0.252528 0.967590i \(-0.581262\pi\)
0.993679 + 0.112255i \(0.0358074\pi\)
\(824\) 15.3630 4.51098i 0.535194 0.157147i
\(825\) −1.86374 + 4.08102i −0.0648870 + 0.142083i
\(826\) −0.781339 5.43433i −0.0271863 0.189085i
\(827\) −55.6520 −1.93521 −0.967605 0.252470i \(-0.918757\pi\)
−0.967605 + 0.252470i \(0.918757\pi\)
\(828\) 4.40660 1.89259i 0.153140 0.0657720i
\(829\) −24.3002 −0.843982 −0.421991 0.906600i \(-0.638669\pi\)
−0.421991 + 0.906600i \(0.638669\pi\)
\(830\) −0.0437985 0.304625i −0.00152027 0.0105737i
\(831\) −1.39986 + 3.06526i −0.0485605 + 0.106333i
\(832\) −0.268175 + 0.0787434i −0.00929731 + 0.00272994i
\(833\) −7.80919 + 9.01229i −0.270572 + 0.312257i
\(834\) 8.59963 + 2.52508i 0.297781 + 0.0874363i
\(835\) −20.0763 + 12.9022i −0.694767 + 0.446500i
\(836\) −14.1739 31.0364i −0.490214 1.07342i
\(837\) 1.22809 + 1.41729i 0.0424491 + 0.0489889i
\(838\) 17.0313 + 10.9454i 0.588337 + 0.378101i
\(839\) 3.20355 22.2812i 0.110599 0.769232i −0.856741 0.515747i \(-0.827514\pi\)
0.967340 0.253484i \(-0.0815766\pi\)
\(840\) −0.422773 + 2.94045i −0.0145870 + 0.101455i
\(841\) 64.6851 + 41.5706i 2.23052 + 1.43347i
\(842\) 24.3035 + 28.0477i 0.837553 + 0.966587i
\(843\) 9.38987 + 20.5609i 0.323404 + 0.708157i
\(844\) −3.39566 + 2.18226i −0.116884 + 0.0751165i
\(845\) −12.3985 3.64051i −0.426520 0.125238i
\(846\) 8.19007 9.45184i 0.281580 0.324961i
\(847\) −26.0186 + 7.63976i −0.894011 + 0.262505i
\(848\) −1.05208 + 2.30373i −0.0361285 + 0.0791104i
\(849\) −0.0779784 0.542352i −0.00267621 0.0186135i
\(850\) −6.53433 −0.224126
\(851\) 33.3163 4.01956i 1.14207 0.137789i
\(852\) 8.93768 0.306200
\(853\) −0.478710 3.32950i −0.0163907 0.114000i 0.979984 0.199079i \(-0.0637949\pi\)
−0.996374 + 0.0850787i \(0.972886\pi\)
\(854\) 2.64626 5.79449i 0.0905530 0.198283i
\(855\) 7.29702 2.14260i 0.249553 0.0732753i
\(856\) 10.0204 11.5641i 0.342490 0.395254i
\(857\) −19.5137 5.72974i −0.666575 0.195724i −0.0690979 0.997610i \(-0.522012\pi\)
−0.597477 + 0.801886i \(0.703830\pi\)
\(858\) 1.05489 0.677936i 0.0360133 0.0231444i
\(859\) −1.12253 2.45800i −0.0383003 0.0838660i 0.889515 0.456906i \(-0.151043\pi\)
−0.927815 + 0.373040i \(0.878315\pi\)
\(860\) 2.20455 + 2.54419i 0.0751747 + 0.0867562i
\(861\) −8.14947 5.23735i −0.277733 0.178488i
\(862\) −2.51629 + 17.5012i −0.0857050 + 0.596092i
\(863\) 5.00891 34.8378i 0.170505 1.18589i −0.707314 0.706900i \(-0.750093\pi\)
0.877819 0.478992i \(-0.158998\pi\)
\(864\) −0.841254 0.540641i −0.0286200 0.0183930i
\(865\) 2.14899 + 2.48007i 0.0730680 + 0.0843249i
\(866\) 5.87993 + 12.8752i 0.199808 + 0.437519i
\(867\) 21.6181 13.8931i 0.734190 0.471835i
\(868\) 5.34540 + 1.56955i 0.181435 + 0.0532741i
\(869\) 33.9935 39.2306i 1.15315 1.33081i
\(870\) 9.87352 2.89913i 0.334744 0.0982896i
\(871\) −0.422016 + 0.924087i −0.0142995 + 0.0313115i
\(872\) −0.853088 5.93336i −0.0288892 0.200929i
\(873\) 8.33776 0.282191
\(874\) −35.9741 6.00982i −1.21684 0.203285i
\(875\) −2.97069 −0.100427
\(876\) −0.551643 3.83676i −0.0186383 0.129632i
\(877\) 8.26484 18.0975i 0.279084 0.611109i −0.717235 0.696831i \(-0.754593\pi\)
0.996319 + 0.0857227i \(0.0273199\pi\)
\(878\) −8.65348 + 2.54089i −0.292041 + 0.0857509i
\(879\) 9.12004 10.5251i 0.307611 0.355002i
\(880\) −4.30472 1.26398i −0.145112 0.0426087i
\(881\) 35.0351 22.5157i 1.18036 0.758572i 0.204908 0.978781i \(-0.434310\pi\)
0.975453 + 0.220209i \(0.0706740\pi\)
\(882\) −0.758120 1.66005i −0.0255272 0.0558968i
\(883\) 16.1961 + 18.6913i 0.545042 + 0.629012i 0.959721 0.280956i \(-0.0906515\pi\)
−0.414679 + 0.909968i \(0.636106\pi\)
\(884\) 1.53640 + 0.987387i 0.0516749 + 0.0332094i
\(885\) −0.263017 + 1.82932i −0.00884120 + 0.0614919i
\(886\) −4.45320 + 30.9727i −0.149608 + 1.04055i
\(887\) −35.7340 22.9649i −1.19983 0.771085i −0.220904 0.975295i \(-0.570901\pi\)
−0.978927 + 0.204211i \(0.934537\pi\)
\(888\) −4.58226 5.28821i −0.153770 0.177461i
\(889\) 24.7286 + 54.1481i 0.829371 + 1.81607i
\(890\) −3.94483 + 2.53519i −0.132231 + 0.0849797i
\(891\) 4.30472 + 1.26398i 0.144213 + 0.0423449i
\(892\) −18.8512 + 21.7555i −0.631186 + 0.728428i
\(893\) −91.2607 + 26.7966i −3.05392 + 0.896713i
\(894\) 8.98767 19.6802i 0.300592 0.658206i
\(895\) −3.09127 21.5002i −0.103330 0.718674i
\(896\) −2.97069 −0.0992436
\(897\) 0.0304670 1.34007i 0.00101726 0.0447438i
\(898\) −13.0023 −0.433891
\(899\) −2.74639 19.1016i −0.0915973 0.637073i
\(900\) 0.415415 0.909632i 0.0138472 0.0303211i
\(901\) 15.8785 4.66234i 0.528989 0.155325i
\(902\) 9.58071 11.0567i 0.319003 0.368149i
\(903\) −9.59556 2.81751i −0.319320 0.0937609i
\(904\) 4.93004 3.16834i 0.163971 0.105378i
\(905\) 4.08783 + 8.95111i 0.135884 + 0.297545i
\(906\) 8.80564 + 10.1622i 0.292548 + 0.337618i
\(907\) −14.3290 9.20871i −0.475788 0.305770i 0.280680 0.959801i \(-0.409440\pi\)
−0.756467 + 0.654031i \(0.773076\pi\)
\(908\) 3.14870 21.8997i 0.104493 0.726767i
\(909\) −0.513575 + 3.57199i −0.0170342 + 0.118476i
\(910\) 0.698491 + 0.448893i 0.0231547 + 0.0148807i
\(911\) −28.0007 32.3145i −0.927704 1.07063i −0.997328 0.0730545i \(-0.976725\pi\)
0.0696236 0.997573i \(-0.477820\pi\)
\(912\) 3.15926 + 6.91782i 0.104614 + 0.229072i
\(913\) −1.16155 + 0.746484i −0.0384417 + 0.0247050i
\(914\) 7.44944 + 2.18735i 0.246406 + 0.0723512i
\(915\) −1.40424 + 1.62058i −0.0464228 + 0.0535748i
\(916\) 11.4642 3.36621i 0.378789 0.111223i
\(917\) 24.0949 52.7605i 0.795685 1.74231i
\(918\) 0.929933 + 6.46782i 0.0306924 + 0.213470i
\(919\) −6.49592 −0.214281 −0.107140 0.994244i \(-0.534169\pi\)
−0.107140 + 0.994244i \(0.534169\pi\)
\(920\) −3.69490 + 3.05741i −0.121817 + 0.100800i
\(921\) 15.2063 0.501064
\(922\) −1.45133 10.0943i −0.0477972 0.332437i
\(923\) 1.03773 2.27231i 0.0341573 0.0747940i
\(924\) 12.7880 3.75488i 0.420693 0.123527i
\(925\) 4.58226 5.28821i 0.150664 0.173875i
\(926\) −25.9136 7.60891i −0.851573 0.250044i
\(927\) 13.4698 8.65650i 0.442405 0.284317i
\(928\) 4.27477 + 9.36044i 0.140326 + 0.307271i
\(929\) −13.8619 15.9975i −0.454796 0.524862i 0.481325 0.876542i \(-0.340156\pi\)
−0.936120 + 0.351680i \(0.885610\pi\)
\(930\) −1.57764 1.01389i −0.0517330 0.0332468i
\(931\) −1.97519 + 13.7378i −0.0647343 + 0.450237i
\(932\) −0.542059 + 3.77010i −0.0177557 + 0.123494i
\(933\) 6.39468 + 4.10961i 0.209352 + 0.134543i
\(934\) 17.2433 + 19.8998i 0.564218 + 0.651142i
\(935\) 12.1783 + 26.6667i 0.398273 + 0.872095i
\(936\) −0.235128 + 0.151108i −0.00768540 + 0.00493910i
\(937\) 21.1633 + 6.21411i 0.691375 + 0.203006i 0.608500 0.793554i \(-0.291772\pi\)
0.0828751 + 0.996560i \(0.473590\pi\)
\(938\) −7.07091 + 8.16027i −0.230873 + 0.266442i
\(939\) 1.02249 0.300231i 0.0333678 0.00979768i
\(940\) −5.19542 + 11.3764i −0.169456 + 0.371057i
\(941\) 2.16405 + 15.0513i 0.0705460 + 0.490658i 0.994210 + 0.107455i \(0.0342701\pi\)
−0.923664 + 0.383204i \(0.874821\pi\)
\(942\) −3.26340 −0.106327
\(943\) −4.06382 15.1018i −0.132336 0.491782i
\(944\) −1.84813 −0.0601516
\(945\) 0.422773 + 2.94045i 0.0137528 + 0.0956528i
\(946\) 6.27418 13.7385i 0.203991 0.446678i
\(947\) −53.4422 + 15.6921i −1.73664 + 0.509923i −0.988185 0.153264i \(-0.951022\pi\)
−0.748454 + 0.663187i \(0.769203\pi\)
\(948\) −7.57693 + 8.74424i −0.246087 + 0.284000i
\(949\) −1.03951 0.305226i −0.0337438 0.00990807i
\(950\) −6.39780 + 4.11161i −0.207572 + 0.133398i
\(951\) −7.50294 16.4291i −0.243299 0.532751i
\(952\) 12.7118 + 14.6702i 0.411992 + 0.475464i
\(953\) 36.8651 + 23.6917i 1.19418 + 0.767451i 0.977939 0.208890i \(-0.0669851\pi\)
0.216237 + 0.976341i \(0.430621\pi\)
\(954\) −0.360426 + 2.50682i −0.0116692 + 0.0811612i
\(955\) −2.88470 + 20.0635i −0.0933468 + 0.649241i
\(956\) −18.6467 11.9835i −0.603079 0.387575i
\(957\) −30.2331 34.8908i −0.977296 1.12786i
\(958\) −8.12272 17.7863i −0.262433 0.574648i
\(959\) −40.5944 + 26.0885i −1.31086 + 0.842440i
\(960\) 0.959493 + 0.281733i 0.0309675 + 0.00909288i
\(961\) 17.9976 20.7703i 0.580567 0.670010i
\(962\) −1.87650 + 0.550991i −0.0605009 + 0.0177647i
\(963\) 6.35649 13.9188i 0.204835 0.448526i
\(964\) −0.431211 2.99914i −0.0138884 0.0965958i
\(965\) −1.64894 −0.0530811
\(966\) 4.32349 13.5750i 0.139106 0.436770i
\(967\) 39.1356 1.25852 0.629259 0.777196i \(-0.283359\pi\)
0.629259 + 0.777196i \(0.283359\pi\)
\(968\) 1.29908 + 9.03531i 0.0417541 + 0.290406i
\(969\) 20.6437 45.2033i 0.663170 1.45214i
\(970\) −8.00002 + 2.34902i −0.256865 + 0.0754225i
\(971\) −14.0281 + 16.1893i −0.450184 + 0.519540i −0.934794 0.355190i \(-0.884416\pi\)
0.484610 + 0.874730i \(0.338962\pi\)
\(972\) −0.959493 0.281733i −0.0307758 0.00903658i
\(973\) 22.3986 14.3947i 0.718067 0.461474i
\(974\) −11.5527 25.2968i −0.370171 0.810562i
\(975\) −0.183032 0.211230i −0.00586170 0.00676477i
\(976\) −1.80393 1.15932i −0.0577424 0.0371088i
\(977\) 2.91027 20.2414i 0.0931077 0.647579i −0.888811 0.458274i \(-0.848468\pi\)
0.981919 0.189304i \(-0.0606232\pi\)
\(978\) 0.589896 4.10282i 0.0188628 0.131194i
\(979\) 17.6983 + 11.3740i 0.565640 + 0.363514i
\(980\) 1.19510 + 1.37922i 0.0381761 + 0.0440576i
\(981\) −2.49015 5.45267i −0.0795045 0.174090i
\(982\) −1.34217 + 0.862563i −0.0428305 + 0.0275255i
\(983\) 13.5853 + 3.98899i 0.433302 + 0.127229i 0.491108 0.871099i \(-0.336592\pi\)
−0.0578054 + 0.998328i \(0.518410\pi\)
\(984\) −2.13548 + 2.46447i −0.0680765 + 0.0785645i
\(985\) 9.22162 2.70771i 0.293825 0.0862748i
\(986\) 27.9328 61.1642i 0.889560 1.94787i
\(987\) −5.28744 36.7750i −0.168301 1.17056i
\(988\) 2.12560 0.0676242
\(989\) −8.41763 13.7769i −0.267665 0.438078i
\(990\) −4.48645 −0.142589
\(991\) −3.00504 20.9005i −0.0954584 0.663928i −0.980224 0.197891i \(-0.936591\pi\)
0.884766 0.466036i \(-0.154318\pi\)
\(992\) 0.779048 1.70588i 0.0247348 0.0541617i
\(993\) −17.4658 + 5.12843i −0.554261 + 0.162746i
\(994\) 17.3872 20.0659i 0.551489 0.636452i
\(995\) −12.3998 3.64092i −0.393101 0.115425i
\(996\) 0.258902 0.166386i 0.00820363 0.00527215i
\(997\) 14.1933 + 31.0789i 0.449505 + 0.984280i 0.989755 + 0.142775i \(0.0456025\pi\)
−0.540250 + 0.841505i \(0.681670\pi\)
\(998\) 2.72291 + 3.14241i 0.0861923 + 0.0994712i
\(999\) −5.88650 3.78303i −0.186241 0.119690i
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 690.2.m.h.601.3 yes 30
23.8 even 11 inner 690.2.m.h.31.3 30
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.m.h.31.3 30 23.8 even 11 inner
690.2.m.h.601.3 yes 30 1.1 even 1 trivial