Properties

Label 354.3.f.a.13.2
Level $354$
Weight $3$
Character 354.13
Analytic conductor $9.646$
Analytic rank $0$
Dimension $560$
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] = [354,3,Mod(13,354)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(354, base_ring=CyclotomicField(58))
 
chi = DirichletCharacter(H, H._module([0, 45]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("354.13");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 354.f (of order \(58\), degree \(28\), 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: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 13.2
Character \(\chi\) \(=\) 354.13
Dual form 354.3.f.a.109.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.07786 + 0.915542i) q^{2} +(-1.37887 + 1.04819i) q^{3} +(0.323564 - 1.97365i) q^{4} +(-2.10279 + 3.96628i) q^{5} +(0.526568 - 2.39222i) q^{6} +(8.08885 - 0.879715i) q^{7} +(1.45821 + 2.42356i) q^{8} +(0.802585 - 2.89065i) q^{9} +O(q^{10})\) \(q+(-1.07786 + 0.915542i) q^{2} +(-1.37887 + 1.04819i) q^{3} +(0.323564 - 1.97365i) q^{4} +(-2.10279 + 3.96628i) q^{5} +(0.526568 - 2.39222i) q^{6} +(8.08885 - 0.879715i) q^{7} +(1.45821 + 2.42356i) q^{8} +(0.802585 - 2.89065i) q^{9} +(-1.36479 - 6.20029i) q^{10} +(0.888210 + 2.63611i) q^{11} +(1.62261 + 3.06058i) q^{12} +(11.4162 - 3.16970i) q^{13} +(-7.91323 + 8.35389i) q^{14} +(-1.25795 - 7.67313i) q^{15} +(-3.79061 - 1.27721i) q^{16} +(13.0670 + 1.42112i) q^{17} +(1.78144 + 3.85052i) q^{18} +(-0.356449 - 6.57432i) q^{19} +(7.14768 + 5.43352i) q^{20} +(-10.2314 + 9.69168i) q^{21} +(-3.37084 - 2.02817i) q^{22} +(-5.60241 + 12.1094i) q^{23} +(-4.55104 - 1.81330i) q^{24} +(2.72001 + 4.01172i) q^{25} +(-9.40309 + 13.8685i) q^{26} +(1.92329 + 4.82710i) q^{27} +(0.881007 - 16.2492i) q^{28} +(-24.0025 + 28.2579i) q^{29} +(8.38096 + 7.11885i) q^{30} +(19.0396 + 1.03230i) q^{31} +(5.25509 - 2.09382i) q^{32} +(-3.98788 - 2.70385i) q^{33} +(-15.3854 + 10.4316i) q^{34} +(-13.5199 + 33.9325i) q^{35} +(-5.44545 - 2.51933i) q^{36} +(-16.8340 + 27.9783i) q^{37} +(6.40327 + 6.75985i) q^{38} +(-12.4191 + 16.3370i) q^{39} +(-12.6788 + 0.687425i) q^{40} +(-13.4951 + 6.24352i) q^{41} +(2.15485 - 19.8135i) q^{42} +(-16.7565 + 49.7315i) q^{43} +(5.49017 - 0.900067i) q^{44} +(9.77746 + 9.26170i) q^{45} +(-5.04806 - 18.1815i) q^{46} +(19.3141 - 10.2397i) q^{47} +(6.56553 - 2.21219i) q^{48} +(16.8011 - 3.69821i) q^{49} +(-6.60469 - 1.83378i) q^{50} +(-19.5073 + 11.7371i) q^{51} +(-2.56200 - 23.5572i) q^{52} +(31.6344 + 6.96326i) q^{53} +(-6.49246 - 3.44209i) q^{54} +(-12.3233 - 2.02030i) q^{55} +(13.9273 + 18.3210i) q^{56} +(7.38265 + 8.69153i) q^{57} -52.4334i q^{58} +(-49.3715 + 32.3026i) q^{59} -15.5511 q^{60} +(8.89467 - 7.55520i) q^{61} +(-21.4671 + 16.3189i) q^{62} +(3.94904 - 24.0881i) q^{63} +(-3.74727 + 7.06810i) q^{64} +(-11.4340 + 51.9451i) q^{65} +(6.77387 - 0.736703i) q^{66} +(-21.6110 - 35.9178i) q^{67} +(7.03279 - 25.3298i) q^{68} +(-4.96797 - 22.5697i) q^{69} +(-16.4940 - 48.9526i) q^{70} +(28.4958 + 53.7487i) q^{71} +(8.17599 - 2.27005i) q^{72} +(-8.48263 + 8.95500i) q^{73} +(-7.47064 - 45.5689i) q^{74} +(-7.95561 - 2.68056i) q^{75} +(-13.0908 - 1.42371i) q^{76} +(9.50362 + 20.5417i) q^{77} +(-1.57121 - 28.9792i) q^{78} +(-4.51078 - 3.42900i) q^{79} +(13.0366 - 12.3489i) q^{80} +(-7.71171 - 4.63998i) q^{81} +(8.82967 - 19.0850i) q^{82} +(53.9567 + 21.4983i) q^{83} +(15.8175 + 23.3291i) q^{84} +(-33.1136 + 48.8389i) q^{85} +(-27.4702 - 68.9449i) q^{86} +(3.47667 - 64.1233i) q^{87} +(-5.09358 + 5.99663i) q^{88} +(47.8563 + 40.6495i) q^{89} +(-19.0182 - 1.03114i) q^{90} +(89.5556 - 35.6822i) q^{91} +(22.0870 + 14.9754i) q^{92} +(-27.3352 + 18.5337i) q^{93} +(-11.4430 + 28.7199i) q^{94} +(26.8252 + 12.4106i) q^{95} +(-5.05138 + 8.39545i) q^{96} +(-48.0448 - 50.7203i) q^{97} +(-14.7234 + 19.3683i) q^{98} +(8.33295 - 0.451799i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560 q + 40 q^{4} - 8 q^{7} - 60 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 560 q + 40 q^{4} - 8 q^{7} - 60 q^{9} + 24 q^{15} - 80 q^{16} - 72 q^{19} - 16 q^{22} - 140 q^{25} - 64 q^{26} + 16 q^{28} - 56 q^{29} + 80 q^{35} + 120 q^{36} + 8 q^{41} + 1376 q^{46} + 1276 q^{47} + 2036 q^{49} + 1856 q^{50} + 696 q^{52} + 1128 q^{53} + 1044 q^{55} + 48 q^{57} - 424 q^{59} - 48 q^{60} - 696 q^{61} - 448 q^{62} - 24 q^{63} + 160 q^{64} - 2436 q^{65} - 96 q^{66} - 2088 q^{67} - 1160 q^{68} - 2784 q^{70} - 2448 q^{71} - 1740 q^{73} - 1568 q^{74} + 96 q^{75} + 144 q^{76} - 192 q^{78} - 528 q^{79} - 180 q^{81} - 568 q^{85} + 416 q^{86} + 216 q^{87} + 32 q^{88} + 480 q^{94} + 456 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{45}{58}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07786 + 0.915542i −0.538930 + 0.457771i
\(3\) −1.37887 + 1.04819i −0.459625 + 0.349397i
\(4\) 0.323564 1.97365i 0.0808910 0.493413i
\(5\) −2.10279 + 3.96628i −0.420558 + 0.793256i −0.999760 0.0219280i \(-0.993020\pi\)
0.579202 + 0.815184i \(0.303364\pi\)
\(6\) 0.526568 2.39222i 0.0877613 0.398704i
\(7\) 8.08885 0.879715i 1.15555 0.125674i 0.489790 0.871840i \(-0.337073\pi\)
0.665759 + 0.746167i \(0.268108\pi\)
\(8\) 1.45821 + 2.42356i 0.182276 + 0.302945i
\(9\) 0.802585 2.89065i 0.0891761 0.321183i
\(10\) −1.36479 6.20029i −0.136479 0.620029i
\(11\) 0.888210 + 2.63611i 0.0807464 + 0.239647i 0.980420 0.196915i \(-0.0630925\pi\)
−0.899674 + 0.436562i \(0.856196\pi\)
\(12\) 1.62261 + 3.06058i 0.135218 + 0.255048i
\(13\) 11.4162 3.16970i 0.878170 0.243823i 0.200949 0.979602i \(-0.435598\pi\)
0.677222 + 0.735779i \(0.263184\pi\)
\(14\) −7.91323 + 8.35389i −0.565231 + 0.596707i
\(15\) −1.25795 7.67313i −0.0838630 0.511542i
\(16\) −3.79061 1.27721i −0.236913 0.0798254i
\(17\) 13.0670 + 1.42112i 0.768644 + 0.0835951i 0.484035 0.875049i \(-0.339171\pi\)
0.284609 + 0.958644i \(0.408136\pi\)
\(18\) 1.78144 + 3.85052i 0.0989688 + 0.213918i
\(19\) −0.356449 6.57432i −0.0187605 0.346017i −0.992812 0.119688i \(-0.961810\pi\)
0.974051 0.226329i \(-0.0726723\pi\)
\(20\) 7.14768 + 5.43352i 0.357384 + 0.271676i
\(21\) −10.2314 + 9.69168i −0.487209 + 0.461509i
\(22\) −3.37084 2.02817i −0.153220 0.0921894i
\(23\) −5.60241 + 12.1094i −0.243583 + 0.526496i −0.990350 0.138590i \(-0.955743\pi\)
0.746767 + 0.665086i \(0.231605\pi\)
\(24\) −4.55104 1.81330i −0.189627 0.0755541i
\(25\) 2.72001 + 4.01172i 0.108801 + 0.160469i
\(26\) −9.40309 + 13.8685i −0.361657 + 0.533404i
\(27\) 1.92329 + 4.82710i 0.0712331 + 0.178782i
\(28\) 0.881007 16.2492i 0.0314645 0.580329i
\(29\) −24.0025 + 28.2579i −0.827672 + 0.974411i −0.999943 0.0106388i \(-0.996614\pi\)
0.172271 + 0.985050i \(0.444889\pi\)
\(30\) 8.38096 + 7.11885i 0.279365 + 0.237295i
\(31\) 19.0396 + 1.03230i 0.614180 + 0.0332999i 0.358605 0.933489i \(-0.383253\pi\)
0.255575 + 0.966789i \(0.417735\pi\)
\(32\) 5.25509 2.09382i 0.164221 0.0654318i
\(33\) −3.98788 2.70385i −0.120845 0.0819349i
\(34\) −15.3854 + 10.4316i −0.452513 + 0.306811i
\(35\) −13.5199 + 33.9325i −0.386284 + 0.969500i
\(36\) −5.44545 2.51933i −0.151263 0.0699815i
\(37\) −16.8340 + 27.9783i −0.454972 + 0.756170i −0.996418 0.0845658i \(-0.973050\pi\)
0.541445 + 0.840736i \(0.317877\pi\)
\(38\) 6.40327 + 6.75985i 0.168507 + 0.177891i
\(39\) −12.4191 + 16.3370i −0.318438 + 0.418897i
\(40\) −12.6788 + 0.687425i −0.316970 + 0.0171856i
\(41\) −13.4951 + 6.24352i −0.329150 + 0.152281i −0.577503 0.816389i \(-0.695973\pi\)
0.248353 + 0.968670i \(0.420111\pi\)
\(42\) 2.15485 19.8135i 0.0513060 0.471751i
\(43\) −16.7565 + 49.7315i −0.389686 + 1.15655i 0.555921 + 0.831235i \(0.312366\pi\)
−0.945607 + 0.325312i \(0.894531\pi\)
\(44\) 5.49017 0.900067i 0.124776 0.0204561i
\(45\) 9.77746 + 9.26170i 0.217277 + 0.205816i
\(46\) −5.04806 18.1815i −0.109741 0.395250i
\(47\) 19.3141 10.2397i 0.410939 0.217866i −0.250096 0.968221i \(-0.580462\pi\)
0.661035 + 0.750355i \(0.270117\pi\)
\(48\) 6.56553 2.21219i 0.136782 0.0460872i
\(49\) 16.8011 3.69821i 0.342880 0.0754737i
\(50\) −6.60469 1.83378i −0.132094 0.0366757i
\(51\) −19.5073 + 11.7371i −0.382496 + 0.230140i
\(52\) −2.56200 23.5572i −0.0492693 0.453024i
\(53\) 31.6344 + 6.96326i 0.596876 + 0.131382i 0.503125 0.864213i \(-0.332183\pi\)
0.0937503 + 0.995596i \(0.470114\pi\)
\(54\) −6.49246 3.44209i −0.120231 0.0637423i
\(55\) −12.3233 2.02030i −0.224060 0.0367327i
\(56\) 13.9273 + 18.3210i 0.248701 + 0.327160i
\(57\) 7.38265 + 8.69153i 0.129520 + 0.152483i
\(58\) 52.4334i 0.904024i
\(59\) −49.3715 + 32.3026i −0.836805 + 0.547501i
\(60\) −15.5511 −0.259185
\(61\) 8.89467 7.55520i 0.145814 0.123856i −0.571510 0.820595i \(-0.693642\pi\)
0.717325 + 0.696739i \(0.245366\pi\)
\(62\) −21.4671 + 16.3189i −0.346244 + 0.263208i
\(63\) 3.94904 24.0881i 0.0626832 0.382350i
\(64\) −3.74727 + 7.06810i −0.0585511 + 0.110439i
\(65\) −11.4340 + 51.9451i −0.175907 + 0.799156i
\(66\) 6.77387 0.736703i 0.102634 0.0111622i
\(67\) −21.6110 35.9178i −0.322552 0.536086i 0.652577 0.757722i \(-0.273688\pi\)
−0.975129 + 0.221636i \(0.928860\pi\)
\(68\) 7.03279 25.3298i 0.103423 0.372497i
\(69\) −4.96797 22.5697i −0.0719996 0.327098i
\(70\) −16.4940 48.9526i −0.235629 0.699322i
\(71\) 28.4958 + 53.7487i 0.401349 + 0.757024i 0.998999 0.0447327i \(-0.0142436\pi\)
−0.597650 + 0.801757i \(0.703899\pi\)
\(72\) 8.17599 2.27005i 0.113555 0.0315285i
\(73\) −8.48263 + 8.95500i −0.116200 + 0.122671i −0.781500 0.623905i \(-0.785545\pi\)
0.665300 + 0.746576i \(0.268304\pi\)
\(74\) −7.47064 45.5689i −0.100955 0.615796i
\(75\) −7.95561 2.68056i −0.106075 0.0357408i
\(76\) −13.0908 1.42371i −0.172247 0.0187330i
\(77\) 9.50362 + 20.5417i 0.123424 + 0.266776i
\(78\) −1.57121 28.9792i −0.0201437 0.371528i
\(79\) −4.51078 3.42900i −0.0570985 0.0434051i 0.576236 0.817284i \(-0.304521\pi\)
−0.633334 + 0.773878i \(0.718314\pi\)
\(80\) 13.0366 12.3489i 0.162958 0.154362i
\(81\) −7.71171 4.63998i −0.0952064 0.0572838i
\(82\) 8.82967 19.0850i 0.107679 0.232744i
\(83\) 53.9567 + 21.4983i 0.650081 + 0.259016i 0.671782 0.740749i \(-0.265529\pi\)
−0.0217016 + 0.999764i \(0.506908\pi\)
\(84\) 15.8175 + 23.3291i 0.188304 + 0.277727i
\(85\) −33.1136 + 48.8389i −0.389572 + 0.574575i
\(86\) −27.4702 68.9449i −0.319420 0.801685i
\(87\) 3.47667 64.1233i 0.0399617 0.737050i
\(88\) −5.09358 + 5.99663i −0.0578816 + 0.0681435i
\(89\) 47.8563 + 40.6495i 0.537711 + 0.456736i 0.874625 0.484799i \(-0.161107\pi\)
−0.336914 + 0.941535i \(0.609383\pi\)
\(90\) −19.0182 1.03114i −0.211314 0.0114571i
\(91\) 89.5556 35.6822i 0.984127 0.392112i
\(92\) 22.0870 + 14.9754i 0.240076 + 0.162776i
\(93\) −27.3352 + 18.5337i −0.293927 + 0.199287i
\(94\) −11.4430 + 28.7199i −0.121735 + 0.305531i
\(95\) 26.8252 + 12.4106i 0.282370 + 0.130638i
\(96\) −5.05138 + 8.39545i −0.0526185 + 0.0874526i
\(97\) −48.0448 50.7203i −0.495307 0.522889i 0.429632 0.903004i \(-0.358643\pi\)
−0.924939 + 0.380115i \(0.875885\pi\)
\(98\) −14.7234 + 19.3683i −0.150239 + 0.197636i
\(99\) 8.33295 0.451799i 0.0841712 0.00456363i
\(100\) 8.79784 4.07032i 0.0879784 0.0407032i
\(101\) 0.847202 7.78989i 0.00838814 0.0771276i −0.989196 0.146601i \(-0.953167\pi\)
0.997584 + 0.0694738i \(0.0221320\pi\)
\(102\) 10.2803 30.5107i 0.100787 0.299125i
\(103\) 100.425 16.4638i 0.974998 0.159843i 0.346837 0.937926i \(-0.387256\pi\)
0.628162 + 0.778083i \(0.283808\pi\)
\(104\) 24.3291 + 23.0458i 0.233934 + 0.221594i
\(105\) −16.9255 60.9601i −0.161195 0.580573i
\(106\) −40.4726 + 21.4572i −0.381817 + 0.202427i
\(107\) 153.889 51.8511i 1.43821 0.484590i 0.511147 0.859493i \(-0.329221\pi\)
0.927064 + 0.374904i \(0.122324\pi\)
\(108\) 10.1493 2.23404i 0.0939754 0.0206855i
\(109\) 32.6419 + 9.06297i 0.299467 + 0.0831465i 0.414012 0.910272i \(-0.364127\pi\)
−0.114545 + 0.993418i \(0.536541\pi\)
\(110\) 15.1324 9.10489i 0.137568 0.0827717i
\(111\) −6.11471 56.2238i −0.0550874 0.506521i
\(112\) −31.7853 6.99647i −0.283797 0.0624684i
\(113\) −107.874 57.1912i −0.954638 0.506117i −0.0831519 0.996537i \(-0.526499\pi\)
−0.871486 + 0.490420i \(0.836844\pi\)
\(114\) −15.9149 2.60912i −0.139605 0.0228870i
\(115\) −36.2486 47.6842i −0.315205 0.414646i
\(116\) 48.0050 + 56.5158i 0.413836 + 0.487205i
\(117\) 35.5442i 0.303797i
\(118\) 23.6411 80.0193i 0.200349 0.678130i
\(119\) 106.947 0.898712
\(120\) 16.7619 14.2377i 0.139683 0.118648i
\(121\) 90.1671 68.5432i 0.745183 0.566473i
\(122\) −2.67010 + 16.2869i −0.0218861 + 0.133499i
\(123\) 12.0637 22.7545i 0.0980788 0.184996i
\(124\) 8.19791 37.2435i 0.0661122 0.300351i
\(125\) −133.204 + 14.4868i −1.06563 + 0.115894i
\(126\) 17.7971 + 29.5791i 0.141247 + 0.234755i
\(127\) 36.5475 131.632i 0.287775 1.03647i −0.668429 0.743776i \(-0.733033\pi\)
0.956205 0.292698i \(-0.0945531\pi\)
\(128\) −2.43211 11.0492i −0.0190009 0.0863219i
\(129\) −29.0231 86.1375i −0.224985 0.667733i
\(130\) −35.2337 66.4578i −0.271029 0.511214i
\(131\) 159.206 44.2034i 1.21531 0.337430i 0.400036 0.916499i \(-0.368998\pi\)
0.815279 + 0.579069i \(0.196584\pi\)
\(132\) −6.62680 + 6.99583i −0.0502030 + 0.0529987i
\(133\) −8.66680 52.8651i −0.0651639 0.397482i
\(134\) 56.1779 + 18.9285i 0.419238 + 0.141258i
\(135\) −23.1899 2.52206i −0.171777 0.0186819i
\(136\) 15.6102 + 33.7408i 0.114781 + 0.248094i
\(137\) 0.409958 + 7.56123i 0.00299239 + 0.0551915i 0.999648 0.0265225i \(-0.00844336\pi\)
−0.996656 + 0.0817140i \(0.973961\pi\)
\(138\) 26.0183 + 19.7786i 0.188539 + 0.143323i
\(139\) 59.5442 56.4032i 0.428375 0.405779i −0.442902 0.896570i \(-0.646051\pi\)
0.871277 + 0.490792i \(0.163292\pi\)
\(140\) 62.5964 + 37.6630i 0.447117 + 0.269021i
\(141\) −15.8986 + 34.3642i −0.112756 + 0.243718i
\(142\) −79.9237 31.8445i −0.562843 0.224257i
\(143\) 18.4957 + 27.2791i 0.129340 + 0.190763i
\(144\) −6.73424 + 9.93227i −0.0467656 + 0.0689741i
\(145\) −61.6067 154.621i −0.424873 1.06635i
\(146\) 0.944401 17.4184i 0.00646850 0.119304i
\(147\) −19.2902 + 22.7102i −0.131226 + 0.154491i
\(148\) 49.7726 + 42.2772i 0.336301 + 0.285657i
\(149\) −95.5720 5.18176i −0.641423 0.0347769i −0.269441 0.963017i \(-0.586839\pi\)
−0.371982 + 0.928240i \(0.621322\pi\)
\(150\) 11.0292 4.39443i 0.0735280 0.0292962i
\(151\) 202.123 + 137.043i 1.33856 + 0.907569i 0.999450 0.0331758i \(-0.0105621\pi\)
0.339115 + 0.940745i \(0.389872\pi\)
\(152\) 15.4135 10.4506i 0.101404 0.0687539i
\(153\) 14.5953 36.6314i 0.0953941 0.239421i
\(154\) −29.0504 13.4402i −0.188639 0.0872737i
\(155\) −44.1306 + 73.3456i −0.284713 + 0.473197i
\(156\) 28.2252 + 29.7970i 0.180931 + 0.191006i
\(157\) −143.611 + 188.916i −0.914717 + 1.20329i 0.0639741 + 0.997952i \(0.479622\pi\)
−0.978691 + 0.205338i \(0.934171\pi\)
\(158\) 8.00139 0.433823i 0.0506417 0.00274571i
\(159\) −50.9187 + 23.5575i −0.320243 + 0.148160i
\(160\) −2.74567 + 25.2460i −0.0171604 + 0.157788i
\(161\) −34.6642 + 102.880i −0.215305 + 0.639004i
\(162\) 12.5603 2.05915i 0.0775324 0.0127108i
\(163\) −21.9648 20.8062i −0.134753 0.127645i 0.617355 0.786685i \(-0.288204\pi\)
−0.752108 + 0.659040i \(0.770963\pi\)
\(164\) 7.95600 + 28.6549i 0.0485122 + 0.174725i
\(165\) 19.1099 10.1314i 0.115818 0.0614026i
\(166\) −77.8404 + 26.2275i −0.468918 + 0.157997i
\(167\) −94.8518 + 20.8785i −0.567975 + 0.125021i −0.489669 0.871909i \(-0.662882\pi\)
−0.0783062 + 0.996929i \(0.524951\pi\)
\(168\) −38.4078 10.6639i −0.228618 0.0634755i
\(169\) −24.5259 + 14.7568i −0.145124 + 0.0873181i
\(170\) −9.02227 82.9584i −0.0530722 0.487991i
\(171\) −19.2901 4.24608i −0.112808 0.0248309i
\(172\) 92.7310 + 49.1628i 0.539134 + 0.285831i
\(173\) −181.522 29.7590i −1.04926 0.172017i −0.387604 0.921826i \(-0.626697\pi\)
−0.661655 + 0.749809i \(0.730146\pi\)
\(174\) 54.9603 + 72.2990i 0.315864 + 0.415511i
\(175\) 25.5309 + 30.0574i 0.145891 + 0.171756i
\(176\) 11.1269i 0.0632211i
\(177\) 34.2177 96.2920i 0.193320 0.544023i
\(178\) −88.7988 −0.498870
\(179\) −57.6729 + 48.9878i −0.322195 + 0.273675i −0.793857 0.608105i \(-0.791930\pi\)
0.471662 + 0.881779i \(0.343654\pi\)
\(180\) 21.4430 16.3006i 0.119128 0.0905587i
\(181\) −39.3369 + 239.945i −0.217331 + 1.32566i 0.622417 + 0.782686i \(0.286151\pi\)
−0.839748 + 0.542976i \(0.817297\pi\)
\(182\) −63.8598 + 120.452i −0.350878 + 0.661826i
\(183\) −4.34532 + 19.7410i −0.0237449 + 0.107874i
\(184\) −37.5173 + 4.08025i −0.203898 + 0.0221753i
\(185\) −75.5715 125.601i −0.408494 0.678923i
\(186\) 12.4951 45.0033i 0.0671780 0.241953i
\(187\) 7.85998 + 35.7082i 0.0420320 + 0.190953i
\(188\) −13.9603 41.4326i −0.0742568 0.220386i
\(189\) 19.8037 + 37.3538i 0.104782 + 0.197639i
\(190\) −40.2762 + 11.1826i −0.211980 + 0.0588560i
\(191\) 239.408 252.740i 1.25345 1.32325i 0.327851 0.944729i \(-0.393676\pi\)
0.925594 0.378517i \(-0.123566\pi\)
\(192\) −2.24172 13.6739i −0.0116756 0.0712181i
\(193\) −120.905 40.7377i −0.626452 0.211076i −0.0118702 0.999930i \(-0.503779\pi\)
−0.614581 + 0.788853i \(0.710675\pi\)
\(194\) 98.2221 + 10.6823i 0.506300 + 0.0550634i
\(195\) −38.6825 83.6108i −0.198372 0.428773i
\(196\) −1.86274 34.3562i −0.00950378 0.175287i
\(197\) −244.850 186.130i −1.24289 0.944822i −0.243209 0.969974i \(-0.578200\pi\)
−0.999684 + 0.0251516i \(0.991993\pi\)
\(198\) −8.56811 + 8.11614i −0.0432733 + 0.0409906i
\(199\) 106.006 + 63.7817i 0.532693 + 0.320511i 0.756361 0.654155i \(-0.226975\pi\)
−0.223668 + 0.974665i \(0.571803\pi\)
\(200\) −5.75629 + 12.4420i −0.0287815 + 0.0622101i
\(201\) 67.4476 + 26.8736i 0.335560 + 0.133699i
\(202\) 6.21881 + 9.17206i 0.0307862 + 0.0454062i
\(203\) −169.294 + 249.689i −0.833958 + 1.23000i
\(204\) 16.8532 + 42.2983i 0.0826137 + 0.207345i
\(205\) 3.61389 66.6544i 0.0176288 0.325143i
\(206\) −93.1706 + 109.689i −0.452284 + 0.532470i
\(207\) 30.5076 + 25.9134i 0.147380 + 0.125186i
\(208\) −47.3228 2.56577i −0.227513 0.0123354i
\(209\) 17.0141 6.77902i 0.0814070 0.0324355i
\(210\) 74.0549 + 50.2105i 0.352642 + 0.239097i
\(211\) −97.4707 + 66.0868i −0.461946 + 0.313207i −0.769867 0.638205i \(-0.779677\pi\)
0.307920 + 0.951412i \(0.400367\pi\)
\(212\) 23.9788 60.1823i 0.113108 0.283879i
\(213\) −95.6311 44.2437i −0.448972 0.207717i
\(214\) −118.398 + 196.780i −0.553264 + 0.919531i
\(215\) −162.014 171.036i −0.753553 0.795516i
\(216\) −8.89421 + 11.7001i −0.0411769 + 0.0541673i
\(217\) 154.916 8.39932i 0.713900 0.0387065i
\(218\) −43.4809 + 20.1164i −0.199454 + 0.0922771i
\(219\) 2.30991 21.2392i 0.0105475 0.0969829i
\(220\) −7.97474 + 23.6682i −0.0362488 + 0.107583i
\(221\) 153.680 25.1945i 0.695383 0.114002i
\(222\) 58.0661 + 55.0031i 0.261559 + 0.247762i
\(223\) 95.7975 + 345.031i 0.429585 + 1.54723i 0.789207 + 0.614127i \(0.210492\pi\)
−0.359622 + 0.933098i \(0.617094\pi\)
\(224\) 40.6656 21.5595i 0.181543 0.0962480i
\(225\) 13.7795 4.64286i 0.0612423 0.0206349i
\(226\) 168.634 37.1192i 0.746169 0.164244i
\(227\) 117.918 + 32.7399i 0.519465 + 0.144229i 0.517358 0.855769i \(-0.326916\pi\)
0.00210680 + 0.999998i \(0.499329\pi\)
\(228\) 19.5428 11.7585i 0.0857142 0.0515725i
\(229\) 24.6936 + 227.054i 0.107832 + 0.991503i 0.915624 + 0.402035i \(0.131697\pi\)
−0.807792 + 0.589468i \(0.799338\pi\)
\(230\) 82.7279 + 18.2098i 0.359686 + 0.0791730i
\(231\) −34.6360 18.3628i −0.149939 0.0794928i
\(232\) −103.485 16.9655i −0.446057 0.0731274i
\(233\) −26.9706 35.4793i −0.115754 0.152272i 0.734567 0.678536i \(-0.237385\pi\)
−0.850321 + 0.526265i \(0.823592\pi\)
\(234\) 32.5422 + 38.3117i 0.139069 + 0.163725i
\(235\) 98.1373i 0.417605i
\(236\) 47.7793 + 107.894i 0.202455 + 0.457178i
\(237\) 9.81405 0.0414095
\(238\) −115.274 + 97.9143i −0.484343 + 0.411405i
\(239\) 263.183 200.067i 1.10118 0.837099i 0.113497 0.993538i \(-0.463795\pi\)
0.987688 + 0.156440i \(0.0500017\pi\)
\(240\) −5.03178 + 30.6925i −0.0209658 + 0.127885i
\(241\) 125.236 236.220i 0.519652 0.980167i −0.475301 0.879823i \(-0.657661\pi\)
0.994953 0.100344i \(-0.0319943\pi\)
\(242\) −34.4332 + 156.432i −0.142286 + 0.646412i
\(243\) 15.4971 1.68541i 0.0637740 0.00693584i
\(244\) −12.0334 19.9996i −0.0493170 0.0819655i
\(245\) −20.6611 + 74.4146i −0.0843311 + 0.303733i
\(246\) 7.82977 + 35.5710i 0.0318284 + 0.144598i
\(247\) −24.9079 73.9240i −0.100842 0.299288i
\(248\) 25.2618 + 47.6488i 0.101862 + 0.192132i
\(249\) −96.9338 + 26.9135i −0.389293 + 0.108087i
\(250\) 130.312 137.569i 0.521247 0.550274i
\(251\) −11.4408 69.7857i −0.0455808 0.278031i 0.954195 0.299184i \(-0.0967144\pi\)
−0.999776 + 0.0211534i \(0.993266\pi\)
\(252\) −46.2637 15.5881i −0.183586 0.0618574i
\(253\) −36.8979 4.01289i −0.145841 0.0158612i
\(254\) 81.1218 + 175.342i 0.319377 + 0.690322i
\(255\) −5.53310 102.052i −0.0216984 0.400204i
\(256\) 12.7375 + 9.68279i 0.0497558 + 0.0378234i
\(257\) −144.045 + 136.447i −0.560488 + 0.530923i −0.914642 0.404265i \(-0.867528\pi\)
0.354154 + 0.935187i \(0.384769\pi\)
\(258\) 110.145 + 66.2723i 0.426920 + 0.256869i
\(259\) −111.555 + 241.121i −0.430713 + 0.930970i
\(260\) 98.8220 + 39.3743i 0.380085 + 0.151440i
\(261\) 62.4197 + 92.0622i 0.239156 + 0.352729i
\(262\) −131.132 + 193.405i −0.500503 + 0.738187i
\(263\) −33.2181 83.3711i −0.126305 0.317001i 0.852203 0.523211i \(-0.175266\pi\)
−0.978508 + 0.206211i \(0.933887\pi\)
\(264\) 0.737785 13.6076i 0.00279464 0.0515441i
\(265\) −94.1387 + 110.829i −0.355240 + 0.418221i
\(266\) 57.7419 + 49.0464i 0.217075 + 0.184385i
\(267\) −108.596 5.88792i −0.406728 0.0220521i
\(268\) −77.8818 + 31.0309i −0.290604 + 0.115787i
\(269\) 77.6449 + 52.6446i 0.288643 + 0.195705i 0.696912 0.717157i \(-0.254557\pi\)
−0.408269 + 0.912862i \(0.633867\pi\)
\(270\) 27.3046 18.5129i 0.101128 0.0685665i
\(271\) 96.5166 242.238i 0.356150 0.893869i −0.636325 0.771421i \(-0.719546\pi\)
0.992475 0.122448i \(-0.0390744\pi\)
\(272\) −47.7167 22.0761i −0.175429 0.0811621i
\(273\) −86.0840 + 143.073i −0.315326 + 0.524076i
\(274\) −7.36450 7.77461i −0.0268778 0.0283745i
\(275\) −8.15941 + 10.7335i −0.0296706 + 0.0390310i
\(276\) −46.1523 + 2.50230i −0.167218 + 0.00906632i
\(277\) 265.409 122.791i 0.958154 0.443289i 0.122453 0.992474i \(-0.460924\pi\)
0.835701 + 0.549185i \(0.185062\pi\)
\(278\) −12.5407 + 115.310i −0.0451105 + 0.414784i
\(279\) 18.2649 54.2082i 0.0654655 0.194295i
\(280\) −101.952 + 16.7142i −0.364115 + 0.0596937i
\(281\) −87.3926 82.7827i −0.311006 0.294600i 0.516236 0.856446i \(-0.327333\pi\)
−0.827242 + 0.561846i \(0.810091\pi\)
\(282\) −14.3255 51.5956i −0.0507995 0.182963i
\(283\) −334.570 + 177.378i −1.18223 + 0.626777i −0.939243 0.343254i \(-0.888471\pi\)
−0.242983 + 0.970030i \(0.578126\pi\)
\(284\) 115.302 38.8496i 0.405991 0.136794i
\(285\) −49.9972 + 11.0052i −0.175429 + 0.0386148i
\(286\) −44.9109 12.4694i −0.157031 0.0435995i
\(287\) −103.668 + 62.3748i −0.361211 + 0.217334i
\(288\) −1.83484 16.8711i −0.00637097 0.0585801i
\(289\) −113.518 24.9871i −0.392794 0.0864606i
\(290\) 207.965 + 110.256i 0.717122 + 0.380194i
\(291\) 119.412 + 19.5767i 0.410352 + 0.0672737i
\(292\) 14.9294 + 19.6393i 0.0511281 + 0.0672578i
\(293\) −179.333 211.127i −0.612058 0.720570i 0.365600 0.930772i \(-0.380864\pi\)
−0.977658 + 0.210202i \(0.932588\pi\)
\(294\) 42.1394i 0.143331i
\(295\) −24.3033 263.747i −0.0823842 0.894057i
\(296\) −92.3544 −0.312008
\(297\) −11.0165 + 9.35750i −0.0370926 + 0.0315067i
\(298\) 107.757 81.9150i 0.361602 0.274883i
\(299\) −25.5751 + 156.001i −0.0855356 + 0.521744i
\(300\) −7.86464 + 14.8343i −0.0262155 + 0.0494476i
\(301\) −91.7912 + 417.012i −0.304954 + 1.38542i
\(302\) −343.329 + 37.3393i −1.13685 + 0.123640i
\(303\) 6.99712 + 11.6293i 0.0230928 + 0.0383805i
\(304\) −7.04560 + 25.3760i −0.0231763 + 0.0834736i
\(305\) 11.2624 + 51.1658i 0.0369260 + 0.167757i
\(306\) 17.8059 + 52.8462i 0.0581894 + 0.172700i
\(307\) 1.66775 + 3.14571i 0.00543241 + 0.0102466i 0.886213 0.463277i \(-0.153327\pi\)
−0.880781 + 0.473524i \(0.842982\pi\)
\(308\) 43.6173 12.1103i 0.141615 0.0393191i
\(309\) −121.216 + 127.966i −0.392284 + 0.414130i
\(310\) −19.5844 119.460i −0.0631756 0.385354i
\(311\) −431.218 145.294i −1.38655 0.467184i −0.475589 0.879668i \(-0.657765\pi\)
−0.910965 + 0.412484i \(0.864661\pi\)
\(312\) −57.7032 6.27560i −0.184946 0.0201141i
\(313\) 57.9998 + 125.364i 0.185303 + 0.400525i 0.977856 0.209277i \(-0.0671109\pi\)
−0.792554 + 0.609802i \(0.791249\pi\)
\(314\) −18.1690 335.107i −0.0578630 1.06722i
\(315\) 87.2361 + 66.3151i 0.276940 + 0.210524i
\(316\) −8.22719 + 7.79321i −0.0260354 + 0.0246621i
\(317\) 73.0806 + 43.9711i 0.230538 + 0.138710i 0.626137 0.779713i \(-0.284635\pi\)
−0.395598 + 0.918424i \(0.629463\pi\)
\(318\) 33.3153 72.0099i 0.104765 0.226446i
\(319\) −95.8103 38.1743i −0.300346 0.119669i
\(320\) −20.1543 29.7254i −0.0629823 0.0928920i
\(321\) −157.843 + 232.801i −0.491723 + 0.725237i
\(322\) −56.8275 142.626i −0.176483 0.442939i
\(323\) 4.68517 86.4129i 0.0145052 0.267532i
\(324\) −11.6530 + 13.7189i −0.0359659 + 0.0423423i
\(325\) 43.7682 + 37.1770i 0.134671 + 0.114391i
\(326\) 42.7239 + 2.31642i 0.131055 + 0.00710559i
\(327\) −54.5088 + 21.7183i −0.166693 + 0.0664167i
\(328\) −34.8102 23.6019i −0.106129 0.0719571i
\(329\) 147.221 99.8184i 0.447481 0.303399i
\(330\) −11.3221 + 28.4162i −0.0343092 + 0.0861097i
\(331\) 248.048 + 114.759i 0.749390 + 0.346705i 0.757129 0.653265i \(-0.226601\pi\)
−0.00773915 + 0.999970i \(0.502463\pi\)
\(332\) 59.8887 99.5357i 0.180388 0.299806i
\(333\) 67.3648 + 71.1161i 0.202297 + 0.213562i
\(334\) 83.1218 109.345i 0.248868 0.327380i
\(335\) 187.903 10.1878i 0.560906 0.0304114i
\(336\) 51.1615 23.6698i 0.152266 0.0704459i
\(337\) 36.9239 339.509i 0.109566 1.00745i −0.802289 0.596935i \(-0.796385\pi\)
0.911856 0.410511i \(-0.134650\pi\)
\(338\) 12.9251 38.3602i 0.0382399 0.113492i
\(339\) 208.692 34.2134i 0.615611 0.100924i
\(340\) 85.6767 + 81.1573i 0.251990 + 0.238698i
\(341\) 14.1899 + 51.1074i 0.0416126 + 0.149875i
\(342\) 24.6795 13.0843i 0.0721624 0.0382581i
\(343\) −245.172 + 82.6080i −0.714787 + 0.240840i
\(344\) −144.962 + 31.9085i −0.421400 + 0.0927572i
\(345\) 99.9645 + 27.7550i 0.289752 + 0.0804493i
\(346\) 222.901 134.115i 0.644222 0.387615i
\(347\) −70.3277 646.653i −0.202674 1.86355i −0.447896 0.894086i \(-0.647827\pi\)
0.245223 0.969467i \(-0.421139\pi\)
\(348\) −125.432 27.6097i −0.360438 0.0793383i
\(349\) 485.758 + 257.533i 1.39186 + 0.737916i 0.984505 0.175355i \(-0.0561072\pi\)
0.407352 + 0.913271i \(0.366452\pi\)
\(350\) −55.0376 9.02295i −0.157250 0.0257799i
\(351\) 37.2572 + 49.0110i 0.106146 + 0.139632i
\(352\) 10.1872 + 11.9933i 0.0289408 + 0.0340717i
\(353\) 284.178i 0.805038i −0.915412 0.402519i \(-0.868135\pi\)
0.915412 0.402519i \(-0.131865\pi\)
\(354\) 51.2775 + 135.117i 0.144852 + 0.381687i
\(355\) −273.103 −0.769305
\(356\) 95.7126 81.2990i 0.268856 0.228368i
\(357\) −147.466 + 112.101i −0.413070 + 0.314008i
\(358\) 17.3129 105.604i 0.0483600 0.294983i
\(359\) 319.600 602.829i 0.890250 1.67919i 0.170034 0.985438i \(-0.445612\pi\)
0.720215 0.693751i \(-0.244043\pi\)
\(360\) −8.18872 + 37.2017i −0.0227464 + 0.103338i
\(361\) 315.789 34.3441i 0.874762 0.0951361i
\(362\) −177.280 294.641i −0.489723 0.813927i
\(363\) −52.4825 + 189.025i −0.144580 + 0.520730i
\(364\) −41.4473 188.297i −0.113866 0.517300i
\(365\) −17.6809 52.4750i −0.0484408 0.143767i
\(366\) −13.3901 25.2564i −0.0365849 0.0690065i
\(367\) 511.914 142.132i 1.39486 0.387281i 0.512836 0.858486i \(-0.328595\pi\)
0.882024 + 0.471205i \(0.156181\pi\)
\(368\) 36.7028 38.7466i 0.0997357 0.105290i
\(369\) 7.21683 + 44.0207i 0.0195578 + 0.119297i
\(370\) 196.448 + 66.1911i 0.530941 + 0.178895i
\(371\) 262.012 + 28.4955i 0.706231 + 0.0768072i
\(372\) 27.7345 + 59.9471i 0.0745550 + 0.161148i
\(373\) −25.6741 473.530i −0.0688313 1.26952i −0.805227 0.592967i \(-0.797956\pi\)
0.736395 0.676551i \(-0.236526\pi\)
\(374\) −41.1644 31.2923i −0.110065 0.0836693i
\(375\) 168.486 159.599i 0.449297 0.425597i
\(376\) 52.9805 + 31.8773i 0.140906 + 0.0847801i
\(377\) −184.449 + 398.679i −0.489253 + 1.05750i
\(378\) −55.5446 22.1310i −0.146943 0.0585476i
\(379\) 64.3050 + 94.8428i 0.169670 + 0.250245i 0.903012 0.429615i \(-0.141351\pi\)
−0.733342 + 0.679860i \(0.762040\pi\)
\(380\) 33.1739 48.9279i 0.0872999 0.128758i
\(381\) 87.5815 + 219.813i 0.229873 + 0.576937i
\(382\) −26.6541 + 491.607i −0.0697752 + 1.28693i
\(383\) 158.582 186.697i 0.414052 0.487460i −0.515114 0.857121i \(-0.672251\pi\)
0.929166 + 0.369662i \(0.120526\pi\)
\(384\) 14.9353 + 12.6861i 0.0388939 + 0.0330368i
\(385\) −101.458 5.50092i −0.263528 0.0142881i
\(386\) 167.616 66.7843i 0.434238 0.173016i
\(387\) 130.308 + 88.3510i 0.336713 + 0.228297i
\(388\) −115.650 + 78.4125i −0.298066 + 0.202094i
\(389\) 61.4225 154.159i 0.157898 0.396295i −0.828649 0.559768i \(-0.810890\pi\)
0.986548 + 0.163473i \(0.0522696\pi\)
\(390\) 118.243 + 54.7053i 0.303188 + 0.140270i
\(391\) −90.4153 + 150.271i −0.231241 + 0.384326i
\(392\) 33.4624 + 35.3258i 0.0853632 + 0.0901168i
\(393\) −173.192 + 227.830i −0.440691 + 0.579719i
\(394\) 434.324 23.5483i 1.10234 0.0597674i
\(395\) 23.0856 10.6805i 0.0584446 0.0270393i
\(396\) 1.80455 16.5925i 0.00455693 0.0419003i
\(397\) 207.537 615.947i 0.522763 1.55150i −0.282912 0.959146i \(-0.591301\pi\)
0.805675 0.592358i \(-0.201803\pi\)
\(398\) −172.654 + 28.3053i −0.433805 + 0.0711187i
\(399\) 67.3632 + 63.8099i 0.168830 + 0.159924i
\(400\) −5.18672 18.6809i −0.0129668 0.0467022i
\(401\) −107.414 + 56.9475i −0.267866 + 0.142014i −0.596928 0.802295i \(-0.703612\pi\)
0.329062 + 0.944308i \(0.393268\pi\)
\(402\) −97.3029 + 32.7852i −0.242047 + 0.0815552i
\(403\) 220.632 48.5647i 0.547474 0.120508i
\(404\) −15.1004 4.19261i −0.0373773 0.0103777i
\(405\) 34.6196 20.8299i 0.0854805 0.0514319i
\(406\) −46.1264 424.125i −0.113612 1.04464i
\(407\) −88.7061 19.5257i −0.217951 0.0479746i
\(408\) −56.8913 30.1619i −0.139439 0.0739261i
\(409\) 235.870 + 38.6689i 0.576699 + 0.0945451i 0.443071 0.896486i \(-0.353889\pi\)
0.133628 + 0.991032i \(0.457337\pi\)
\(410\) 57.1296 + 75.1527i 0.139341 + 0.183299i
\(411\) −8.49090 9.99626i −0.0206591 0.0243218i
\(412\) 203.531i 0.494007i
\(413\) −370.941 + 304.724i −0.898163 + 0.737829i
\(414\) −56.6078 −0.136734
\(415\) −198.728 + 168.801i −0.478862 + 0.406749i
\(416\) 53.3564 40.5605i 0.128261 0.0975012i
\(417\) −22.9824 + 140.187i −0.0551138 + 0.336179i
\(418\) −12.1323 + 22.8839i −0.0290246 + 0.0547462i
\(419\) −78.9625 + 358.730i −0.188455 + 0.856158i 0.783574 + 0.621298i \(0.213394\pi\)
−0.972029 + 0.234860i \(0.924537\pi\)
\(420\) −125.791 + 13.6806i −0.299501 + 0.0325727i
\(421\) −199.032 330.794i −0.472761 0.785734i 0.525105 0.851038i \(-0.324026\pi\)
−0.997865 + 0.0653033i \(0.979199\pi\)
\(422\) 44.5545 160.471i 0.105579 0.380263i
\(423\) −14.0982 64.0487i −0.0333290 0.151415i
\(424\) 29.2536 + 86.8217i 0.0689944 + 0.204768i
\(425\) 29.8412 + 56.2864i 0.0702145 + 0.132439i
\(426\) 143.584 39.8659i 0.337051 0.0935818i
\(427\) 65.3012 68.9377i 0.152930 0.161447i
\(428\) −52.5433 320.500i −0.122765 0.748831i
\(429\) −54.0969 18.2274i −0.126100 0.0424881i
\(430\) 331.219 + 36.0222i 0.770276 + 0.0837726i
\(431\) −241.630 522.274i −0.560626 1.21177i −0.956031 0.293266i \(-0.905258\pi\)
0.395405 0.918507i \(-0.370604\pi\)
\(432\) −1.12526 20.7541i −0.00260476 0.0480420i
\(433\) −372.361 283.061i −0.859956 0.653721i 0.0793334 0.996848i \(-0.474721\pi\)
−0.939289 + 0.343127i \(0.888514\pi\)
\(434\) −159.288 + 150.886i −0.367023 + 0.347663i
\(435\) 247.020 + 148.627i 0.567863 + 0.341672i
\(436\) 28.4489 61.4913i 0.0652498 0.141035i
\(437\) 81.6081 + 32.5156i 0.186746 + 0.0744065i
\(438\) 16.9557 + 25.0078i 0.0387116 + 0.0570953i
\(439\) 77.6710 114.556i 0.176927 0.260948i −0.728877 0.684645i \(-0.759957\pi\)
0.905804 + 0.423697i \(0.139268\pi\)
\(440\) −13.0736 32.8122i −0.0297127 0.0745732i
\(441\) 2.79411 51.5344i 0.00633585 0.116858i
\(442\) −142.579 + 167.856i −0.322576 + 0.379766i
\(443\) 26.0819 + 22.1541i 0.0588755 + 0.0500093i 0.676341 0.736589i \(-0.263565\pi\)
−0.617465 + 0.786598i \(0.711840\pi\)
\(444\) −112.945 6.12369i −0.254380 0.0137921i
\(445\) −261.859 + 104.334i −0.588448 + 0.234459i
\(446\) −419.147 284.189i −0.939792 0.637195i
\(447\) 137.213 93.0328i 0.306965 0.208127i
\(448\) −24.0932 + 60.4693i −0.0537794 + 0.134976i
\(449\) −105.757 48.9286i −0.235540 0.108972i 0.298569 0.954388i \(-0.403491\pi\)
−0.534109 + 0.845416i \(0.679353\pi\)
\(450\) −10.6017 + 17.6201i −0.0235592 + 0.0391558i
\(451\) −28.4452 30.0292i −0.0630713 0.0665836i
\(452\) −147.780 + 194.401i −0.326947 + 0.430091i
\(453\) −422.350 + 22.8991i −0.932339 + 0.0505500i
\(454\) −157.074 + 72.6704i −0.345979 + 0.160067i
\(455\) −46.7908 + 430.235i −0.102837 + 0.945571i
\(456\) −10.2990 + 30.5663i −0.0225855 + 0.0670315i
\(457\) 859.549 140.916i 1.88085 0.308350i 0.891400 0.453217i \(-0.149724\pi\)
0.989451 + 0.144867i \(0.0462754\pi\)
\(458\) −234.494 222.124i −0.511996 0.484988i
\(459\) 18.2717 + 65.8088i 0.0398077 + 0.143374i
\(460\) −105.841 + 56.1133i −0.230089 + 0.121985i
\(461\) 239.662 80.7516i 0.519874 0.175166i −0.0471177 0.998889i \(-0.515004\pi\)
0.566992 + 0.823723i \(0.308107\pi\)
\(462\) 54.1447 11.9182i 0.117196 0.0257969i
\(463\) −290.516 80.6614i −0.627465 0.174215i −0.0607823 0.998151i \(-0.519360\pi\)
−0.566682 + 0.823936i \(0.691773\pi\)
\(464\) 127.075 76.4587i 0.273869 0.164782i
\(465\) −16.0298 147.392i −0.0344727 0.316971i
\(466\) 61.5533 + 13.5489i 0.132089 + 0.0290749i
\(467\) 282.339 + 149.687i 0.604580 + 0.320528i 0.742428 0.669925i \(-0.233674\pi\)
−0.137849 + 0.990453i \(0.544019\pi\)
\(468\) −70.1520 11.5008i −0.149897 0.0245744i
\(469\) −206.406 271.522i −0.440097 0.578938i
\(470\) −89.8488 105.778i −0.191168 0.225060i
\(471\) 411.023i 0.872661i
\(472\) −150.281 72.5508i −0.318392 0.153709i
\(473\) −145.981 −0.308628
\(474\) −10.5782 + 8.98518i −0.0223168 + 0.0189561i
\(475\) 25.4048 19.3122i 0.0534838 0.0406573i
\(476\) 34.6041 211.076i 0.0726978 0.443437i
\(477\) 45.5176 85.8554i 0.0954248 0.179990i
\(478\) −100.505 + 456.599i −0.210262 + 0.955228i
\(479\) 495.205 53.8568i 1.03383 0.112436i 0.424562 0.905399i \(-0.360428\pi\)
0.609270 + 0.792963i \(0.291463\pi\)
\(480\) −22.6767 37.6890i −0.0472432 0.0785188i
\(481\) −103.498 + 372.765i −0.215172 + 0.774979i
\(482\) 81.2828 + 369.271i 0.168636 + 0.766123i
\(483\) −60.0401 178.193i −0.124307 0.368929i
\(484\) −106.106 200.137i −0.219227 0.413506i
\(485\) 302.199 83.9051i 0.623090 0.173000i
\(486\) −15.1606 + 16.0049i −0.0311947 + 0.0329318i
\(487\) 8.88480 + 54.1949i 0.0182439 + 0.111283i 0.994379 0.105883i \(-0.0337669\pi\)
−0.976135 + 0.217166i \(0.930319\pi\)
\(488\) 31.2807 + 10.5397i 0.0640999 + 0.0215978i
\(489\) 52.0955 + 5.66573i 0.106535 + 0.0115864i
\(490\) −45.8600 99.1247i −0.0935917 0.202295i
\(491\) −14.5851 269.006i −0.0297048 0.547874i −0.975075 0.221875i \(-0.928782\pi\)
0.945370 0.325999i \(-0.105700\pi\)
\(492\) −41.0062 31.1721i −0.0833459 0.0633579i
\(493\) −353.797 + 335.135i −0.717641 + 0.679786i
\(494\) 94.5278 + 56.8755i 0.191352 + 0.115133i
\(495\) −15.7305 + 34.0008i −0.0317787 + 0.0686886i
\(496\) −70.8532 28.2305i −0.142849 0.0569163i
\(497\) 277.782 + 409.697i 0.558917 + 0.824340i
\(498\) 79.8406 117.756i 0.160322 0.236458i
\(499\) −61.4745 154.289i −0.123195 0.309197i 0.854425 0.519575i \(-0.173910\pi\)
−0.977620 + 0.210378i \(0.932530\pi\)
\(500\) −14.5081 + 267.586i −0.0290161 + 0.535171i
\(501\) 108.904 128.212i 0.217373 0.255912i
\(502\) 76.2233 + 64.7447i 0.151839 + 0.128973i
\(503\) −890.636 48.2889i −1.77065 0.0960017i −0.860285 0.509813i \(-0.829715\pi\)
−0.910363 + 0.413811i \(0.864197\pi\)
\(504\) 64.1374 25.5547i 0.127257 0.0507037i
\(505\) 29.1154 + 19.7407i 0.0576543 + 0.0390906i
\(506\) 43.4447 29.4562i 0.0858591 0.0582139i
\(507\) 18.3502 46.0556i 0.0361937 0.0908394i
\(508\) −247.971 114.723i −0.488131 0.225834i
\(509\) −131.010 + 217.740i −0.257386 + 0.427779i −0.958425 0.285344i \(-0.907892\pi\)
0.701039 + 0.713123i \(0.252720\pi\)
\(510\) 99.3970 + 104.932i 0.194896 + 0.205749i
\(511\) −60.7368 + 79.8979i −0.118859 + 0.156356i
\(512\) −22.5942 + 1.22502i −0.0441294 + 0.00239262i
\(513\) 31.0494 14.3650i 0.0605251 0.0280019i
\(514\) 30.3377 278.951i 0.0590228 0.542705i
\(515\) −145.872 + 432.933i −0.283247 + 0.840647i
\(516\) −179.396 + 29.4106i −0.347667 + 0.0569972i
\(517\) 44.1480 + 41.8193i 0.0853927 + 0.0808883i
\(518\) −100.517 362.028i −0.194047 0.698896i
\(519\) 281.489 149.236i 0.542368 0.287545i
\(520\) −142.565 + 48.0358i −0.274164 + 0.0923765i
\(521\) −482.119 + 106.123i −0.925373 + 0.203690i −0.652001 0.758218i \(-0.726070\pi\)
−0.273372 + 0.961908i \(0.588139\pi\)
\(522\) −151.567 42.0822i −0.290357 0.0806173i
\(523\) −837.139 + 503.690i −1.60065 + 0.963078i −0.616162 + 0.787619i \(0.711313\pi\)
−0.984487 + 0.175459i \(0.943859\pi\)
\(524\) −35.7287 328.520i −0.0681846 0.626947i
\(525\) −66.7098 14.6839i −0.127066 0.0279694i
\(526\) 112.134 + 59.4498i 0.213183 + 0.113022i
\(527\) 247.322 + 40.5464i 0.469302 + 0.0769382i
\(528\) 11.6631 + 15.3426i 0.0220893 + 0.0290580i
\(529\) 227.217 + 267.500i 0.429521 + 0.505671i
\(530\) 205.646i 0.388011i
\(531\) 53.7507 + 168.641i 0.101225 + 0.317592i
\(532\) −107.142 −0.201394
\(533\) −134.273 + 114.053i −0.251920 + 0.213983i
\(534\) 122.442 93.0782i 0.229293 0.174304i
\(535\) −117.939 + 719.397i −0.220447 + 1.34467i
\(536\) 55.5355 104.751i 0.103611 0.195431i
\(537\) 28.1750 128.000i 0.0524674 0.238362i
\(538\) −131.889 + 14.3438i −0.245146 + 0.0266613i
\(539\) 24.6718 + 41.0049i 0.0457734 + 0.0760759i
\(540\) −12.4811 + 44.9528i −0.0231131 + 0.0832460i
\(541\) −111.178 505.088i −0.205505 0.933618i −0.960585 0.277986i \(-0.910333\pi\)
0.755080 0.655632i \(-0.227598\pi\)
\(542\) 117.748 + 349.464i 0.217248 + 0.644768i
\(543\) −197.268 372.086i −0.363292 0.685242i
\(544\) 71.6435 19.8917i 0.131698 0.0365657i
\(545\) −104.585 + 110.409i −0.191900 + 0.202586i
\(546\) −38.2027 233.026i −0.0699682 0.426787i
\(547\) 815.138 + 274.652i 1.49020 + 0.502106i 0.942395 0.334501i \(-0.108568\pi\)
0.547803 + 0.836607i \(0.315464\pi\)
\(548\) 15.0559 + 1.63743i 0.0274743 + 0.00298801i
\(549\) −14.7007 31.7751i −0.0267773 0.0578781i
\(550\) −1.03229 19.0395i −0.00187689 0.0346173i
\(551\) 194.332 + 147.728i 0.352690 + 0.268108i
\(552\) 47.4547 44.9515i 0.0859687 0.0814339i
\(553\) −39.5035 23.7685i −0.0714350 0.0429810i
\(554\) −173.653 + 375.345i −0.313453 + 0.677517i
\(555\) 235.857 + 93.9741i 0.424968 + 0.169323i
\(556\) −92.0540 135.770i −0.165565 0.244190i
\(557\) −94.4045 + 139.236i −0.169487 + 0.249975i −0.902941 0.429764i \(-0.858597\pi\)
0.733454 + 0.679739i \(0.237907\pi\)
\(558\) 29.9430 + 75.1512i 0.0536612 + 0.134679i
\(559\) −33.6620 + 620.859i −0.0602182 + 1.11066i
\(560\) 94.5877 111.357i 0.168907 0.198852i
\(561\) −48.2670 40.9984i −0.0860374 0.0730809i
\(562\) 169.988 + 9.21648i 0.302470 + 0.0163994i
\(563\) 726.145 289.323i 1.28978 0.513895i 0.378468 0.925614i \(-0.376451\pi\)
0.911311 + 0.411720i \(0.135072\pi\)
\(564\) 62.6788 + 42.4973i 0.111133 + 0.0753498i
\(565\) 453.673 307.598i 0.802961 0.544421i
\(566\) 198.223 497.501i 0.350217 0.878978i
\(567\) −66.4607 30.7480i −0.117215 0.0542293i
\(568\) −88.7105 + 147.438i −0.156180 + 0.259574i
\(569\) 17.0187 + 17.9664i 0.0299098 + 0.0315754i 0.740779 0.671749i \(-0.234457\pi\)
−0.710869 + 0.703325i \(0.751698\pi\)
\(570\) 43.8143 57.6367i 0.0768671 0.101117i
\(571\) 9.23529 0.500723i 0.0161739 0.000876922i −0.0460502 0.998939i \(-0.514663\pi\)
0.0622241 + 0.998062i \(0.480181\pi\)
\(572\) 59.8240 27.6775i 0.104587 0.0483873i
\(573\) −65.1933 + 599.442i −0.113775 + 1.04615i
\(574\) 54.6325 162.143i 0.0951785 0.282480i
\(575\) −63.8182 + 10.4625i −0.110988 + 0.0181956i
\(576\) 17.4239 + 16.5048i 0.0302498 + 0.0286541i
\(577\) 39.0187 + 140.533i 0.0676234 + 0.243558i 0.989635 0.143604i \(-0.0458693\pi\)
−0.922012 + 0.387162i \(0.873455\pi\)
\(578\) 145.233 76.9976i 0.251268 0.133214i
\(579\) 209.414 70.5598i 0.361682 0.121865i
\(580\) −325.102 + 71.5604i −0.560521 + 0.123380i
\(581\) 455.360 + 126.430i 0.783752 + 0.217608i
\(582\) −146.633 + 88.2261i −0.251947 + 0.151591i
\(583\) 9.74206 + 89.5767i 0.0167102 + 0.153648i
\(584\) −34.0724 7.49990i −0.0583431 0.0128423i
\(585\) 140.978 + 74.7420i 0.240989 + 0.127764i
\(586\) 386.592 + 63.3785i 0.659712 + 0.108154i
\(587\) 239.932 + 315.626i 0.408743 + 0.537693i 0.953695 0.300775i \(-0.0972452\pi\)
−0.544952 + 0.838467i \(0.683452\pi\)
\(588\) 38.5804 + 45.4204i 0.0656130 + 0.0772456i
\(589\) 125.540i 0.213141i
\(590\) 267.667 + 262.031i 0.453673 + 0.444121i
\(591\) 532.717 0.901383
\(592\) 99.5452 84.5544i 0.168151 0.142828i
\(593\) 10.2712 7.80800i 0.0173208 0.0131669i −0.596478 0.802629i \(-0.703434\pi\)
0.613799 + 0.789462i \(0.289641\pi\)
\(594\) 3.30706 20.1722i 0.00556744 0.0339599i
\(595\) −224.887 + 424.181i −0.377961 + 0.712909i
\(596\) −41.1507 + 186.949i −0.0690447 + 0.313673i
\(597\) −213.024 + 23.1678i −0.356825 + 0.0388070i
\(598\) −115.260 191.563i −0.192742 0.320339i
\(599\) −80.5896 + 290.258i −0.134540 + 0.484570i −0.999861 0.0166476i \(-0.994701\pi\)
0.865321 + 0.501218i \(0.167114\pi\)
\(600\) −5.10444 23.1897i −0.00850739 0.0386495i
\(601\) 107.827 + 320.019i 0.179413 + 0.532478i 0.999192 0.0402023i \(-0.0128003\pi\)
−0.819779 + 0.572680i \(0.805904\pi\)
\(602\) −282.854 533.519i −0.469857 0.886244i
\(603\) −121.170 + 33.6428i −0.200946 + 0.0557923i
\(604\) 335.875 354.579i 0.556084 0.587051i
\(605\) 82.2594 + 501.760i 0.135966 + 0.829355i
\(606\) −18.1890 6.12860i −0.0300149 0.0101132i
\(607\) −651.207 70.8231i −1.07283 0.116677i −0.445385 0.895339i \(-0.646933\pi\)
−0.627444 + 0.778662i \(0.715899\pi\)
\(608\) −15.6386 33.8023i −0.0257214 0.0555959i
\(609\) −28.2880 521.742i −0.0464500 0.856719i
\(610\) −58.9838 44.8383i −0.0966947 0.0735054i
\(611\) 188.038 178.119i 0.307754 0.291520i
\(612\) −67.5752 40.6587i −0.110417 0.0664357i
\(613\) −356.467 + 770.491i −0.581513 + 1.25692i 0.364020 + 0.931391i \(0.381404\pi\)
−0.945533 + 0.325528i \(0.894458\pi\)
\(614\) −4.67763 1.86374i −0.00761829 0.00303541i
\(615\) 64.8835 + 95.6960i 0.105502 + 0.155603i
\(616\) −35.9259 + 52.9867i −0.0583212 + 0.0860174i
\(617\) 230.821 + 579.318i 0.374103 + 0.938927i 0.988676 + 0.150067i \(0.0479490\pi\)
−0.614573 + 0.788860i \(0.710672\pi\)
\(618\) 13.4954 248.908i 0.0218372 0.402763i
\(619\) 37.3589 43.9823i 0.0603536 0.0710538i −0.731157 0.682209i \(-0.761019\pi\)
0.791510 + 0.611156i \(0.209295\pi\)
\(620\) 130.480 + 110.830i 0.210451 + 0.178759i
\(621\) −69.2284 3.75346i −0.111479 0.00604421i
\(622\) 597.816 238.192i 0.961119 0.382945i
\(623\) 422.862 + 286.708i 0.678752 + 0.460205i
\(624\) 67.9416 46.0655i 0.108881 0.0738230i
\(625\) 177.790 446.220i 0.284465 0.713953i
\(626\) −177.292 82.0241i −0.283214 0.131029i
\(627\) −16.3545 + 27.1814i −0.0260838 + 0.0433516i
\(628\) 326.388 + 344.564i 0.519727 + 0.548669i
\(629\) −259.729 + 341.668i −0.412924 + 0.543193i
\(630\) −154.743 + 8.38990i −0.245623 + 0.0133173i
\(631\) −59.4933 + 27.5245i −0.0942842 + 0.0436205i −0.466464 0.884540i \(-0.654472\pi\)
0.372180 + 0.928160i \(0.378610\pi\)
\(632\) 1.73275 15.9323i 0.00274169 0.0252094i
\(633\) 65.1281 193.293i 0.102888 0.305361i
\(634\) −119.028 + 19.5137i −0.187742 + 0.0307787i
\(635\) 445.238 + 421.752i 0.701163 + 0.664177i
\(636\) 30.0189 + 108.118i 0.0471995 + 0.169997i
\(637\) 180.083 95.4741i 0.282705 0.149881i
\(638\) 138.220 46.5718i 0.216646 0.0729966i
\(639\) 178.239 39.2334i 0.278934 0.0613981i
\(640\) 48.9385 + 13.5877i 0.0764663 + 0.0212308i
\(641\) −195.719 + 117.760i −0.305333 + 0.183713i −0.659972 0.751291i \(-0.729432\pi\)
0.354638 + 0.935004i \(0.384604\pi\)
\(642\) −43.0066 395.439i −0.0669884 0.615948i
\(643\) −334.965 73.7313i −0.520940 0.114668i −0.0532864 0.998579i \(-0.516970\pi\)
−0.467654 + 0.883912i \(0.654901\pi\)
\(644\) 191.833 + 101.703i 0.297877 + 0.157924i
\(645\) 402.675 + 66.0152i 0.624302 + 0.102349i
\(646\) 74.0648 + 97.4305i 0.114651 + 0.150821i
\(647\) −556.060 654.645i −0.859444 1.01182i −0.999764 0.0217094i \(-0.993089\pi\)
0.140320 0.990106i \(-0.455187\pi\)
\(648\) 25.4558i 0.0392837i
\(649\) −129.006 101.457i −0.198776 0.156329i
\(650\) −81.2131 −0.124943
\(651\) −204.806 + 173.964i −0.314602 + 0.267225i
\(652\) −48.1711 + 36.6187i −0.0738821 + 0.0561637i
\(653\) 74.3884 453.749i 0.113918 0.694869i −0.866684 0.498858i \(-0.833753\pi\)
0.980602 0.196011i \(-0.0627988\pi\)
\(654\) 38.8688 73.3143i 0.0594324 0.112101i
\(655\) −159.454 + 724.407i −0.243441 + 1.10596i
\(656\) 59.1291 6.43068i 0.0901359 0.00980287i
\(657\) 19.0777 + 31.7075i 0.0290377 + 0.0482610i
\(658\) −67.2958 + 242.377i −0.102273 + 0.368355i
\(659\) 41.7295 + 189.579i 0.0633224 + 0.287677i 0.997631 0.0687877i \(-0.0219131\pi\)
−0.934309 + 0.356464i \(0.883982\pi\)
\(660\) −13.8127 40.9945i −0.0209283 0.0621129i
\(661\) −579.415 1092.89i −0.876573 1.65339i −0.750003 0.661435i \(-0.769948\pi\)
−0.126570 0.991958i \(-0.540397\pi\)
\(662\) −372.428 + 103.404i −0.562580 + 0.156200i
\(663\) −185.496 + 195.826i −0.279783 + 0.295363i
\(664\) 26.5776 + 162.116i 0.0400265 + 0.244151i
\(665\) 227.902 + 76.7893i 0.342710 + 0.115473i
\(666\) −137.720 14.9779i −0.206786 0.0224894i
\(667\) −207.715 448.968i −0.311416 0.673116i
\(668\) 10.5162 + 193.960i 0.0157428 + 0.290359i
\(669\) −493.752 375.340i −0.738045 0.561047i
\(670\) −193.206 + 183.015i −0.288367 + 0.273156i
\(671\) 27.8167 + 16.7368i 0.0414556 + 0.0249430i
\(672\) −33.4742 + 72.3533i −0.0498128 + 0.107669i
\(673\) −373.766 148.922i −0.555373 0.221281i 0.0755286 0.997144i \(-0.475936\pi\)
−0.630902 + 0.775863i \(0.717315\pi\)
\(674\) 271.037 + 399.749i 0.402131 + 0.593099i
\(675\) −14.1336 + 20.8455i −0.0209387 + 0.0308822i
\(676\) 21.1890 + 53.1804i 0.0313447 + 0.0786693i
\(677\) 47.8103 881.809i 0.0706208 1.30252i −0.721609 0.692301i \(-0.756597\pi\)
0.792230 0.610223i \(-0.208920\pi\)
\(678\) −193.617 + 227.944i −0.285571 + 0.336200i
\(679\) −433.246 368.003i −0.638065 0.541978i
\(680\) −166.650 9.03552i −0.245074 0.0132875i
\(681\) −196.912 + 78.4571i −0.289152 + 0.115209i
\(682\) −62.0857 42.0951i −0.0910347 0.0617231i
\(683\) −149.602 + 101.433i −0.219037 + 0.148511i −0.665771 0.746156i \(-0.731897\pi\)
0.446734 + 0.894667i \(0.352587\pi\)
\(684\) −14.6219 + 36.6982i −0.0213770 + 0.0536523i
\(685\) −30.8520 14.2737i −0.0450394 0.0208375i
\(686\) 188.630 313.505i 0.274971 0.457005i
\(687\) −272.046 287.195i −0.395991 0.418043i
\(688\) 127.035 167.111i 0.184644 0.242895i
\(689\) 383.217 20.7774i 0.556192 0.0301559i
\(690\) −133.159 + 61.6057i −0.192984 + 0.0892837i
\(691\) −53.4692 + 491.641i −0.0773794 + 0.711492i 0.889618 + 0.456706i \(0.150971\pi\)
−0.966997 + 0.254786i \(0.917995\pi\)
\(692\) −117.468 + 348.632i −0.169751 + 0.503804i
\(693\) 67.0065 10.9852i 0.0966904 0.0158516i
\(694\) 667.841 + 632.613i 0.962308 + 0.911546i
\(695\) 98.5022 + 354.773i 0.141730 + 0.510465i
\(696\) 160.476 85.0791i 0.230569 0.122240i
\(697\) −185.213 + 62.4056i −0.265729 + 0.0895346i
\(698\) −759.362 + 167.148i −1.08791 + 0.239467i
\(699\) 74.3782 + 20.6510i 0.106407 + 0.0295436i
\(700\) 67.5837 40.6638i 0.0965481 0.0580911i
\(701\) 62.1510 + 571.469i 0.0886604 + 0.815219i 0.951063 + 0.308996i \(0.0999931\pi\)
−0.862403 + 0.506223i \(0.831041\pi\)
\(702\) −85.0297 18.7164i −0.121125 0.0266616i
\(703\) 189.939 + 100.699i 0.270183 + 0.143242i
\(704\) −21.9607 3.60027i −0.0311941 0.00511402i
\(705\) −102.867 135.319i −0.145910 0.191942i
\(706\) 260.177 + 306.304i 0.368523 + 0.433859i
\(707\) 63.7565i 0.0901790i
\(708\) −178.975 98.6905i −0.252790 0.139393i
\(709\) −502.843 −0.709228 −0.354614 0.935013i \(-0.615388\pi\)
−0.354614 + 0.935013i \(0.615388\pi\)
\(710\) 294.367 250.038i 0.414601 0.352166i
\(711\) −13.5323 + 10.2870i −0.0190328 + 0.0144684i
\(712\) −28.7321 + 175.258i −0.0403541 + 0.246149i
\(713\) −119.168 + 224.774i −0.167136 + 0.315252i
\(714\) 56.3147 255.840i 0.0788722 0.358320i
\(715\) −147.089 + 15.9969i −0.205719 + 0.0223733i
\(716\) 78.0240 + 129.677i 0.108972 + 0.181113i
\(717\) −153.188 + 551.733i −0.213651 + 0.769502i
\(718\) 207.432 + 942.372i 0.288902 + 1.31250i
\(719\) −145.067 430.542i −0.201762 0.598807i 0.798232 0.602350i \(-0.205769\pi\)
−0.999994 + 0.00354297i \(0.998872\pi\)
\(720\) −25.2335 47.5954i −0.0350465 0.0661047i
\(721\) 797.838 221.519i 1.10657 0.307238i
\(722\) −308.933 + 326.137i −0.427885 + 0.451713i
\(723\) 74.9196 + 456.989i 0.103623 + 0.632074i
\(724\) 460.840 + 155.275i 0.636519 + 0.214468i
\(725\) −178.650 19.4293i −0.246414 0.0267991i
\(726\) −116.492 251.792i −0.160457 0.346821i
\(727\) −52.6350 970.796i −0.0724003 1.33534i −0.778684 0.627416i \(-0.784113\pi\)
0.706284 0.707929i \(-0.250370\pi\)
\(728\) 217.068 + 165.011i 0.298171 + 0.226664i
\(729\) −19.6019 + 18.5679i −0.0268887 + 0.0254704i
\(730\) 67.1006 + 40.3731i 0.0919186 + 0.0553056i
\(731\) −289.631 + 626.027i −0.396212 + 0.856398i
\(732\) 37.5559 + 14.9636i 0.0513059 + 0.0204421i
\(733\) −646.254 953.154i −0.881657 1.30035i −0.953024 0.302896i \(-0.902046\pi\)
0.0713670 0.997450i \(-0.477264\pi\)
\(734\) −421.643 + 621.877i −0.574446 + 0.847244i
\(735\) −49.5118 124.265i −0.0673630 0.169068i
\(736\) −4.08625 + 75.3664i −0.00555196 + 0.102400i
\(737\) 75.4882 88.8716i 0.102426 0.120586i
\(738\) −48.0816 40.8408i −0.0651512 0.0553399i
\(739\) −887.720 48.1308i −1.20124 0.0651296i −0.557372 0.830263i \(-0.688190\pi\)
−0.643872 + 0.765133i \(0.722673\pi\)
\(740\) −272.345 + 108.512i −0.368033 + 0.146638i
\(741\) 111.831 + 75.8236i 0.150920 + 0.102326i
\(742\) −308.501 + 209.169i −0.415769 + 0.281898i
\(743\) 75.2237 188.797i 0.101243 0.254101i −0.869626 0.493711i \(-0.835640\pi\)
0.970869 + 0.239610i \(0.0770194\pi\)
\(744\) −84.7780 39.2225i −0.113949 0.0527184i
\(745\) 221.520 368.169i 0.297342 0.494187i
\(746\) 461.210 + 486.894i 0.618244 + 0.652673i
\(747\) 105.449 138.716i 0.141163 0.185697i
\(748\) 73.0189 3.95897i 0.0976188 0.00529274i
\(749\) 1199.17 554.794i 1.60102 0.740712i
\(750\) −35.4852 + 326.281i −0.0473137 + 0.435042i
\(751\) −109.025 + 323.574i −0.145173 + 0.430857i −0.995428 0.0955131i \(-0.969551\pi\)
0.850256 + 0.526370i \(0.176447\pi\)
\(752\) −86.2906 + 14.1466i −0.114748 + 0.0188120i
\(753\) 88.9242 + 84.2335i 0.118093 + 0.111864i
\(754\) −166.198 598.590i −0.220422 0.793887i
\(755\) −968.573 + 513.505i −1.28288 + 0.680139i
\(756\) 80.1311 26.9993i 0.105994 0.0357134i
\(757\) 646.727 142.355i 0.854329 0.188052i 0.233848 0.972273i \(-0.424868\pi\)
0.620481 + 0.784221i \(0.286937\pi\)
\(758\) −156.144 43.3533i −0.205995 0.0571943i
\(759\) 55.0838 33.1428i 0.0725741 0.0436664i
\(760\) 9.03871 + 83.1096i 0.0118930 + 0.109355i
\(761\) 1250.67 + 275.292i 1.64345 + 0.361751i 0.937899 0.346908i \(-0.112768\pi\)
0.705551 + 0.708659i \(0.250699\pi\)
\(762\) −295.649 156.743i −0.387990 0.205699i
\(763\) 272.008 + 44.5934i 0.356498 + 0.0584449i
\(764\) −421.357 554.286i −0.551515 0.725505i
\(765\) 114.600 + 134.917i 0.149804 + 0.176362i
\(766\) 346.422i 0.452248i
\(767\) −461.246 + 525.266i −0.601364 + 0.684832i
\(768\) −27.7128 −0.0360844
\(769\) −1038.81 + 882.376i −1.35086 + 1.14743i −0.375502 + 0.926822i \(0.622530\pi\)
−0.975362 + 0.220612i \(0.929195\pi\)
\(770\) 114.394 86.9603i 0.148564 0.112935i
\(771\) 55.5977 339.131i 0.0721111 0.439858i
\(772\) −119.523 + 225.444i −0.154822 + 0.292025i
\(773\) 46.6343 211.862i 0.0603289 0.274077i −0.936794 0.349882i \(-0.886222\pi\)
0.997123 + 0.0758050i \(0.0241527\pi\)
\(774\) −221.343 + 24.0725i −0.285973 + 0.0311014i
\(775\) 47.6466 + 79.1893i 0.0614795 + 0.102180i
\(776\) 52.8643 190.400i 0.0681241 0.245361i
\(777\) −98.9218 449.406i −0.127313 0.578387i
\(778\) 74.9341 + 222.396i 0.0963163 + 0.285857i
\(779\) 45.8573 + 86.4960i 0.0588668 + 0.111035i
\(780\) −177.535 + 49.2923i −0.227609 + 0.0631953i
\(781\) −116.378 + 122.858i −0.149011 + 0.157309i
\(782\) −40.1248 244.750i −0.0513105 0.312980i
\(783\) −182.568 61.5142i −0.233164 0.0785622i
\(784\) −68.4100 7.44004i −0.0872577 0.00948984i
\(785\) −447.313 966.851i −0.569826 1.23166i
\(786\) −21.9114 404.133i −0.0278771 0.514164i
\(787\) −110.699 84.1513i −0.140660 0.106927i 0.532478 0.846444i \(-0.321261\pi\)
−0.673138 + 0.739517i \(0.735054\pi\)
\(788\) −446.581 + 423.024i −0.566727 + 0.536832i
\(789\) 133.193 + 80.1393i 0.168812 + 0.101571i
\(790\) −15.1046 + 32.6480i −0.0191197 + 0.0413266i
\(791\) −922.889 367.713i −1.16674 0.464871i
\(792\) 13.2461 + 19.5366i 0.0167249 + 0.0246674i
\(793\) 77.5958 114.445i 0.0978509 0.144319i
\(794\) 340.230 + 853.913i 0.428501 + 1.07546i
\(795\) 13.6356 251.494i 0.0171517 0.316345i
\(796\) 160.183 188.582i 0.201234 0.236911i
\(797\) 747.792 + 635.180i 0.938258 + 0.796964i 0.979346 0.202192i \(-0.0648064\pi\)
−0.0410876 + 0.999156i \(0.513082\pi\)
\(798\) −131.029 7.10417i −0.164196 0.00890247i
\(799\) 266.929 106.354i 0.334079 0.133109i
\(800\) 22.6937 + 15.3867i 0.0283671 + 0.0192334i
\(801\) 155.912 105.711i 0.194647 0.131974i
\(802\) 63.6398 159.724i 0.0793514 0.199157i
\(803\) −31.1408 14.4072i −0.0387805 0.0179418i
\(804\) 74.8627 124.423i 0.0931128 0.154755i
\(805\) −335.158 353.822i −0.416345 0.439530i
\(806\) −193.347 + 254.344i −0.239885 + 0.315563i
\(807\) −162.244 + 8.79662i −0.201046 + 0.0109004i
\(808\) 20.1146 9.30603i 0.0248944 0.0115174i
\(809\) −107.047 + 984.278i −0.132320 + 1.21666i 0.720126 + 0.693844i \(0.244084\pi\)
−0.852445 + 0.522816i \(0.824881\pi\)
\(810\) −18.2444 + 54.1474i −0.0225239 + 0.0668487i
\(811\) 597.328 97.9270i 0.736533 0.120748i 0.218172 0.975910i \(-0.429991\pi\)
0.518361 + 0.855162i \(0.326542\pi\)
\(812\) 438.023 + 414.917i 0.539437 + 0.510982i
\(813\) 120.828 + 435.184i 0.148620 + 0.535282i
\(814\) 113.489 60.1682i 0.139422 0.0739167i
\(815\) 128.710 43.3676i 0.157927 0.0532117i
\(816\) 88.9353 19.5761i 0.108989 0.0239904i
\(817\) 332.924 + 92.4359i 0.407496 + 0.113141i
\(818\) −289.638 + 174.269i −0.354081 + 0.213043i
\(819\) −31.2688 287.512i −0.0381792 0.351052i
\(820\) −130.383 28.6995i −0.159004 0.0349994i
\(821\) 503.047 + 266.699i 0.612725 + 0.324846i 0.745709 0.666272i \(-0.232111\pi\)
−0.132984 + 0.991118i \(0.542456\pi\)
\(822\) 18.3040 + 3.00079i 0.0222677 + 0.00365060i
\(823\) −796.674 1048.01i −0.968012 1.27340i −0.961896 0.273417i \(-0.911846\pi\)
−0.00611630 0.999981i \(-0.501947\pi\)
\(824\) 186.341 + 219.378i 0.226142 + 0.266235i
\(825\) 23.3528i 0.0283064i
\(826\) 120.835 668.062i 0.146290 0.808791i
\(827\) 789.882 0.955117 0.477559 0.878600i \(-0.341522\pi\)
0.477559 + 0.878600i \(0.341522\pi\)
\(828\) 61.0153 51.8268i 0.0736899 0.0625928i
\(829\) 985.543 749.190i 1.18883 0.903728i 0.191857 0.981423i \(-0.438549\pi\)
0.996977 + 0.0776951i \(0.0247561\pi\)
\(830\) 59.6564 363.888i 0.0718751 0.438419i
\(831\) −237.256 + 447.513i −0.285507 + 0.538523i
\(832\) −20.3759 + 92.5686i −0.0244902 + 0.111260i
\(833\) 224.795 24.4480i 0.269862 0.0293493i
\(834\) −103.575 172.143i −0.124191 0.206406i
\(835\) 116.643 420.112i 0.139693 0.503128i
\(836\) −7.87430 35.7733i −0.00941902 0.0427910i
\(837\) 31.6357 + 93.8914i 0.0377965 + 0.112176i
\(838\) −243.322 458.954i −0.290361 0.547678i
\(839\) −304.699 + 84.5992i −0.363169 + 0.100833i −0.444319 0.895869i \(-0.646554\pi\)
0.0811504 + 0.996702i \(0.474141\pi\)
\(840\) 123.060 129.912i 0.146499 0.154658i
\(841\) −86.3315 526.599i −0.102653 0.626158i
\(842\) 517.385 + 174.327i 0.614471 + 0.207040i
\(843\) 207.275 + 22.5426i 0.245878 + 0.0267409i
\(844\) 98.8943 + 213.757i 0.117173 + 0.253266i
\(845\) −6.95661 128.307i −0.00823267 0.151843i
\(846\) 73.8351 + 56.1280i 0.0872756 + 0.0663452i
\(847\) 669.049 633.757i 0.789905 0.748237i
\(848\) −111.020 66.7987i −0.130920 0.0787720i
\(849\) 275.404 595.275i 0.324386 0.701149i
\(850\) −83.6972 33.3480i −0.0984673 0.0392330i
\(851\) −244.490 360.595i −0.287297 0.423731i
\(852\) −118.264 + 174.427i −0.138808 + 0.204726i
\(853\) −255.100 640.253i −0.299062 0.750590i −0.999326 0.0367058i \(-0.988314\pi\)
0.700264 0.713884i \(-0.253066\pi\)
\(854\) −7.27021 + 134.091i −0.00851313 + 0.157015i
\(855\) 57.4043 67.5815i 0.0671395 0.0790427i
\(856\) 350.065 + 297.348i 0.408955 + 0.347369i
\(857\) −867.574 47.0385i −1.01234 0.0548874i −0.459502 0.888177i \(-0.651972\pi\)
−0.552837 + 0.833290i \(0.686455\pi\)
\(858\) 74.9968 29.8815i 0.0874089 0.0348269i
\(859\) −596.429 404.389i −0.694329 0.470767i 0.162272 0.986746i \(-0.448118\pi\)
−0.856601 + 0.515979i \(0.827428\pi\)
\(860\) −389.987 + 264.418i −0.453474 + 0.307463i
\(861\) 77.5639 194.671i 0.0900858 0.226098i
\(862\) 738.607 + 341.716i 0.856853 + 0.396422i
\(863\) 256.601 426.474i 0.297336 0.494177i −0.671790 0.740742i \(-0.734474\pi\)
0.969126 + 0.246565i \(0.0793019\pi\)
\(864\) 20.2142 + 21.3398i 0.0233960 + 0.0246989i
\(865\) 499.735 657.390i 0.577728 0.759988i
\(866\) 660.507 35.8117i 0.762711 0.0413530i
\(867\) 182.718 84.5342i 0.210747 0.0975020i
\(868\) 33.5480 308.469i 0.0386498 0.355379i
\(869\) 5.03273 14.9366i 0.00579140 0.0171883i
\(870\) −402.328 + 65.9583i −0.462446 + 0.0758142i
\(871\) −360.564 341.545i −0.413966 0.392129i
\(872\) 25.6340 + 92.3252i 0.0293967 + 0.105877i
\(873\) −185.175 + 98.1733i −0.212113 + 0.112455i
\(874\) −117.732 + 39.6684i −0.134704 + 0.0453872i
\(875\) −1064.72 + 234.363i −1.21682 + 0.267843i
\(876\) −41.1715 11.4312i −0.0469994 0.0130493i
\(877\) −639.799 + 384.954i −0.729531 + 0.438944i −0.831271 0.555867i \(-0.812386\pi\)
0.101740 + 0.994811i \(0.467559\pi\)
\(878\) 21.1626 + 194.587i 0.0241032 + 0.221625i
\(879\) 468.579 + 103.142i 0.533082 + 0.117340i
\(880\) 44.1325 + 23.3975i 0.0501505 + 0.0265881i
\(881\) 974.155 + 159.705i 1.10574 + 0.181276i 0.686877 0.726774i \(-0.258981\pi\)
0.418861 + 0.908050i \(0.362430\pi\)
\(882\) 44.1702 + 58.1049i 0.0500796 + 0.0658786i
\(883\) 332.937 + 391.964i 0.377052 + 0.443900i 0.917655 0.397378i \(-0.130080\pi\)
−0.540603 + 0.841278i \(0.681804\pi\)
\(884\) 311.462i 0.352333i
\(885\) 309.969 + 338.199i 0.350247 + 0.382146i
\(886\) −48.3956 −0.0546226
\(887\) 438.741 372.670i 0.494634 0.420146i −0.365038 0.930993i \(-0.618944\pi\)
0.859672 + 0.510847i \(0.170668\pi\)
\(888\) 127.345 96.8052i 0.143407 0.109015i
\(889\) 179.828 1096.90i 0.202281 1.23386i
\(890\) 186.725 352.201i 0.209803 0.395731i
\(891\) 5.38190 24.4502i 0.00604030 0.0274413i
\(892\) 711.969 77.4313i 0.798171 0.0868063i
\(893\) −74.2037 123.327i −0.0830948 0.138105i
\(894\) −62.7211 + 225.901i −0.0701578 + 0.252686i
\(895\) −73.0254 331.758i −0.0815926 0.370679i
\(896\) −29.3931 87.2357i −0.0328048 0.0973613i
\(897\) −128.255 241.914i −0.142982 0.269692i
\(898\) 158.788 44.0873i 0.176824 0.0490949i
\(899\) −486.168 + 513.241i −0.540787 + 0.570902i
\(900\) −4.70484 28.6983i −0.00522760 0.0318870i
\(901\) 403.470 + 135.945i 0.447802 + 0.150882i
\(902\) 58.1529 + 6.32451i 0.0644710 + 0.00701165i
\(903\) −310.540 671.221i −0.343898 0.743324i
\(904\) −18.6965 344.836i −0.0206819 0.381456i
\(905\) −868.971 660.575i −0.960189 0.729917i
\(906\) 434.269 411.361i 0.479325 0.454041i
\(907\) −1029.92 619.680i −1.13552 0.683219i −0.181627 0.983368i \(-0.558136\pi\)
−0.953893 + 0.300148i \(0.902964\pi\)
\(908\) 102.771 222.137i 0.113184 0.244644i
\(909\) −21.8379 8.70101i −0.0240241 0.00957207i
\(910\) −343.464 506.572i −0.377433 0.556672i
\(911\) −478.128 + 705.186i −0.524839 + 0.774079i −0.994040 0.109012i \(-0.965231\pi\)
0.469202 + 0.883091i \(0.344542\pi\)
\(912\) −16.8839 42.3754i −0.0185131 0.0464643i
\(913\) −8.74711 + 161.331i −0.00958063 + 0.176704i
\(914\) −797.459 + 938.841i −0.872493 + 1.02718i
\(915\) −69.1611 58.7459i −0.0755859 0.0642032i
\(916\) 456.116 + 24.7299i 0.497943 + 0.0269977i
\(917\) 1248.91 497.611i 1.36195 0.542651i
\(918\) −79.9451 54.2041i −0.0870862 0.0590459i
\(919\) 136.090 92.2715i 0.148085 0.100404i −0.484895 0.874573i \(-0.661142\pi\)
0.632980 + 0.774168i \(0.281832\pi\)
\(920\) 62.7076 157.384i 0.0681604 0.171070i
\(921\) −5.59693 2.58941i −0.00607701 0.00281152i
\(922\) −184.391 + 306.460i −0.199990 + 0.332386i
\(923\) 495.681 + 523.284i 0.537032 + 0.566938i
\(924\) −47.4488 + 62.4179i −0.0513516 + 0.0675518i
\(925\) −158.030 + 8.56812i −0.170843 + 0.00926284i
\(926\) 386.985 179.038i 0.417910 0.193346i
\(927\) 33.0083 303.507i 0.0356077 0.327407i
\(928\) −66.9682 + 198.755i −0.0721640 + 0.214175i
\(929\) −1276.52 + 209.274i −1.37408 + 0.225269i −0.803172 0.595747i \(-0.796856\pi\)
−0.570905 + 0.821016i \(0.693408\pi\)
\(930\) 152.221 + 144.192i 0.163679 + 0.155045i
\(931\) −30.3020 109.138i −0.0325478 0.117227i
\(932\) −78.7505 + 41.7509i −0.0844962 + 0.0447971i
\(933\) 746.892 251.657i 0.800527 0.269729i
\(934\) −441.366 + 97.1520i −0.472555 + 0.104017i
\(935\) −158.157 43.9120i −0.169152 0.0469647i
\(936\) 86.1435 51.8308i 0.0920336 0.0553748i
\(937\) 127.091 + 1168.58i 0.135636 + 1.24715i 0.842068 + 0.539371i \(0.181338\pi\)
−0.706433 + 0.707780i \(0.749697\pi\)
\(938\) 471.066 + 103.689i 0.502203 + 0.110543i
\(939\) −211.380 112.067i −0.225112 0.119347i
\(940\) 193.689 + 31.7537i 0.206052 + 0.0337805i
\(941\) −660.425 868.774i −0.701833 0.923245i 0.297673 0.954668i \(-0.403789\pi\)
−0.999506 + 0.0314223i \(0.989996\pi\)
\(942\) 376.309 + 443.026i 0.399479 + 0.470303i
\(943\) 198.397i 0.210389i
\(944\) 228.405 59.3890i 0.241955 0.0629121i
\(945\) −189.799 −0.200845
\(946\) 157.347 133.652i 0.166329 0.141281i
\(947\) 1195.97 909.154i 1.26290 0.960035i 0.262916 0.964819i \(-0.415316\pi\)
0.999989 + 0.00478324i \(0.00152256\pi\)
\(948\) 3.17547 19.3695i 0.00334966 0.0204320i
\(949\) −68.4549 + 129.120i −0.0721337 + 0.136059i
\(950\) −9.70165 + 44.0750i −0.0102123 + 0.0463948i
\(951\) −146.859 + 15.9719i −0.154426 + 0.0167948i
\(952\) 155.951 + 259.192i 0.163814 + 0.272260i
\(953\) −50.2418 + 180.954i −0.0527196 + 0.189879i −0.985221 0.171287i \(-0.945207\pi\)
0.932502 + 0.361166i \(0.117621\pi\)
\(954\) 29.5426 + 134.213i 0.0309671 + 0.140685i
\(955\) 499.013 + 1481.02i 0.522527 + 1.55081i
\(956\) −309.705 584.166i −0.323960 0.611053i
\(957\) 172.124 47.7901i 0.179858 0.0499374i
\(958\) −484.454 + 511.431i −0.505693 + 0.533853i
\(959\) 9.96782 + 60.8010i 0.0103940 + 0.0634004i
\(960\) 58.9483 + 19.8620i 0.0614044 + 0.0206896i
\(961\) −593.927 64.5934i −0.618030 0.0672148i
\(962\) −229.726 496.545i −0.238800 0.516159i
\(963\) −26.3747 486.453i −0.0273881 0.505143i
\(964\) −425.695 323.605i −0.441592 0.335690i
\(965\) 415.815 393.881i 0.430897 0.408167i
\(966\) 227.858 + 137.098i 0.235878 + 0.141923i
\(967\) 76.6097 165.589i 0.0792241 0.171240i −0.863916 0.503636i \(-0.831995\pi\)
0.943140 + 0.332396i \(0.107857\pi\)
\(968\) 297.601 + 118.575i 0.307439 + 0.122495i
\(969\) 84.1171 + 124.063i 0.0868082 + 0.128033i
\(970\) −248.909 + 367.114i −0.256608 + 0.378468i
\(971\) 114.950 + 288.502i 0.118383 + 0.297118i 0.976213 0.216816i \(-0.0695671\pi\)
−0.857830 + 0.513934i \(0.828188\pi\)
\(972\) 1.68788 31.1312i 0.00173651 0.0320280i
\(973\) 432.025 508.619i 0.444013 0.522733i
\(974\) −59.1943 50.2801i −0.0607744 0.0516222i
\(975\) −99.3195 5.38495i −0.101866 0.00552302i
\(976\) −43.3658 + 17.2785i −0.0444322 + 0.0177034i
\(977\) 266.015 + 180.363i 0.272278 + 0.184609i 0.689683 0.724112i \(-0.257750\pi\)
−0.417405 + 0.908721i \(0.637060\pi\)
\(978\) −61.3389 + 41.5888i −0.0627187 + 0.0425243i
\(979\) −64.6503 + 162.260i −0.0660371 + 0.165741i
\(980\) 140.183 + 64.8558i 0.143044 + 0.0661794i
\(981\) 52.3958 87.0824i 0.0534106 0.0887690i
\(982\) 262.007 + 276.597i 0.266810 + 0.281667i
\(983\) 911.310 1198.81i 0.927070 1.21954i −0.0482708 0.998834i \(-0.515371\pi\)
0.975341 0.220705i \(-0.0708358\pi\)
\(984\) 72.7383 3.94376i 0.0739210 0.00400788i
\(985\) 1253.11 579.751i 1.27219 0.588580i
\(986\) 74.5140 685.144i 0.0755720 0.694873i
\(987\) −98.3704 + 291.953i −0.0996661 + 0.295798i
\(988\) −153.960 + 25.2404i −0.155830 + 0.0255470i
\(989\) −508.342 481.527i −0.513996 0.486883i
\(990\) −14.1740 51.0501i −0.0143171 0.0515657i
\(991\) −1227.01 + 650.521i −1.23816 + 0.656429i −0.953266 0.302132i \(-0.902302\pi\)
−0.284890 + 0.958560i \(0.591957\pi\)
\(992\) 102.216 34.4406i 0.103040 0.0347183i
\(993\) −462.317 + 101.764i −0.465576 + 0.102481i
\(994\) −674.505 187.275i −0.678576 0.188406i
\(995\) −475.884 + 286.330i −0.478276 + 0.287769i
\(996\) 21.7537 + 200.022i 0.0218411 + 0.200825i
\(997\) 791.374 + 174.195i 0.793755 + 0.174719i 0.593297 0.804984i \(-0.297826\pi\)
0.200458 + 0.979702i \(0.435757\pi\)
\(998\) 207.519 + 110.020i 0.207935 + 0.110240i
\(999\) −167.431 27.4489i −0.167598 0.0274764i
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 354.3.f.a.13.2 560
59.50 odd 58 inner 354.3.f.a.109.2 yes 560
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
354.3.f.a.13.2 560 1.1 even 1 trivial
354.3.f.a.109.2 yes 560 59.50 odd 58 inner