Properties

Label 354.3.h.a.5.5
Level $354$
Weight $3$
Character 354.5
Analytic conductor $9.646$
Analytic rank $0$
Dimension $1120$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [354,3,Mod(5,354)]
 
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([29, 6]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("354.5");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 354.h (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: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.5
Character \(\chi\) \(=\) 354.5
Dual form 354.3.h.a.71.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(-1.87528 + 2.34165i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-7.13337 - 2.84219i) q^{5} +(-2.29144 - 3.57062i) q^{6} +(1.14957 - 0.531850i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-1.96666 - 8.78250i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(-1.87528 + 2.34165i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-7.13337 - 2.84219i) q^{5} +(-2.29144 - 3.57062i) q^{6} +(1.14957 - 0.531850i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-1.96666 - 8.78250i) q^{9} +(7.03021 - 8.27660i) q^{10} +(3.29655 + 0.915283i) q^{11} +(5.82001 - 1.45860i) q^{12} +(3.53526 - 6.66820i) q^{13} +(0.193674 + 1.78080i) q^{14} +(20.0325 - 11.3739i) q^{15} +(1.07011 + 3.85420i) q^{16} +(-9.75211 + 21.0788i) q^{17} +(12.6582 + 1.33014i) q^{18} +(9.04073 - 1.99001i) q^{19} +(7.91760 + 13.1592i) q^{20} +(-0.910366 + 3.68927i) q^{21} +(-2.71524 + 4.00468i) q^{22} +(1.75880 + 0.288341i) q^{23} +(-0.673288 + 8.45853i) q^{24} +(24.6570 + 23.3563i) q^{25} +(7.34023 + 7.74899i) q^{26} +(24.2536 + 11.8644i) q^{27} +(-2.47406 - 0.544582i) q^{28} +(-1.28084 - 3.80139i) q^{29} +(6.19731 + 31.9832i) q^{30} +(8.69040 + 1.91290i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(-8.32522 + 6.00296i) q^{33} +(-23.8459 - 22.5880i) q^{34} +(-9.71195 + 0.526567i) q^{35} +(-7.49859 + 16.3637i) q^{36} +(10.1856 - 15.0227i) q^{37} +(-1.41545 + 13.0148i) q^{38} +(8.98501 + 20.7831i) q^{39} +(-21.2110 + 4.66889i) q^{40} +(21.7305 - 3.56253i) q^{41} +(-4.53321 - 2.88599i) q^{42} +(3.51177 + 12.6482i) q^{43} +(-4.14091 - 5.44728i) q^{44} +(-10.9326 + 68.2384i) q^{45} +(-1.18063 + 2.22691i) q^{46} +(78.8513 - 31.4172i) q^{47} +(-11.0320 - 4.72187i) q^{48} +(-30.6833 + 36.1231i) q^{49} +(-42.4359 + 22.4981i) q^{50} +(-31.0714 - 62.3647i) q^{51} +(-13.6996 + 6.33812i) q^{52} +(-3.42585 + 2.90994i) q^{53} +(-26.8524 + 27.1468i) q^{54} +(-20.9141 - 15.8985i) q^{55} +(1.84703 - 3.06978i) q^{56} +(-12.2940 + 24.9021i) q^{57} +5.67293 q^{58} +(-24.5882 - 53.6323i) q^{59} +(-45.6619 - 6.13682i) q^{60} +(92.3366 + 31.1118i) q^{61} +(-6.48788 + 10.7829i) q^{62} +(-6.93179 - 9.05017i) q^{63} +(2.96111 - 7.43181i) q^{64} +(-44.1706 + 37.5188i) q^{65} +(-4.28573 - 13.8680i) q^{66} +(15.6576 + 23.0932i) q^{67} +(41.0399 - 21.7580i) q^{68} +(-3.97344 + 3.57778i) q^{69} +(3.67984 - 13.2536i) q^{70} +(61.6099 - 24.5476i) q^{71} +(-18.5443 - 17.4387i) q^{72} +(115.937 - 12.6090i) q^{73} +(15.5337 + 20.4343i) q^{74} +(-100.931 + 13.9384i) q^{75} +(-16.8031 - 7.77396i) q^{76} +(4.27642 - 0.701084i) q^{77} +(-31.9104 + 2.65675i) q^{78} +(-2.13064 + 1.28196i) q^{79} +(3.32087 - 30.5349i) q^{80} +(-73.2645 + 34.5444i) q^{81} +(-5.03818 + 30.7316i) q^{82} +(75.6797 - 4.10323i) q^{83} +(5.91477 - 4.77214i) q^{84} +(129.475 - 122.646i) q^{85} +(-18.5367 - 1.00503i) q^{86} +(11.3034 + 4.12939i) q^{87} +(9.17022 - 3.08981i) q^{88} +(-23.1533 - 68.7165i) q^{89} +(-86.5152 - 45.4655i) q^{90} +(0.517559 - 9.54582i) q^{91} +(-2.45135 - 2.58785i) q^{92} +(-20.7763 + 16.7627i) q^{93} +(6.49873 + 119.862i) q^{94} +(-70.1468 - 11.5000i) q^{95} +(11.3098 - 12.6526i) q^{96} +(151.308 + 16.4557i) q^{97} +(-34.5563 - 57.4330i) q^{98} +(1.55527 - 30.7520i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120 q + 80 q^{4} - 8 q^{6} - 8 q^{7} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1120 q + 80 q^{4} - 8 q^{6} - 8 q^{7} + 24 q^{9} + 16 q^{10} - 34 q^{15} - 160 q^{16} - 16 q^{18} - 24 q^{19} + 18 q^{21} + 16 q^{22} + 16 q^{24} + 216 q^{25} + 30 q^{27} + 16 q^{28} + 64 q^{30} - 96 q^{31} - 76 q^{33} - 80 q^{34} - 48 q^{36} + 200 q^{37} + 28 q^{39} - 32 q^{40} - 48 q^{42} + 104 q^{43} + 696 q^{45} - 32 q^{46} - 288 q^{49} + 1800 q^{51} + 852 q^{54} - 360 q^{55} + 76 q^{57} + 128 q^{58} - 280 q^{60} + 32 q^{61} - 1318 q^{63} + 320 q^{64} - 1512 q^{66} + 344 q^{67} - 2640 q^{69} - 192 q^{70} + 32 q^{72} - 40 q^{73} - 1014 q^{75} + 48 q^{76} - 96 q^{78} - 32 q^{79} - 336 q^{81} + 80 q^{82} - 36 q^{84} - 168 q^{85} + 162 q^{87} - 32 q^{88} - 112 q^{90} - 88 q^{91} + 316 q^{93} + 400 q^{94} - 32 q^{96} + 184 q^{97} + 148 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) −1.87528 + 2.34165i −0.625093 + 0.780550i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) −7.13337 2.84219i −1.42667 0.568439i −0.476225 0.879323i \(-0.657995\pi\)
−0.950448 + 0.310885i \(0.899375\pi\)
\(6\) −2.29144 3.57062i −0.381907 0.595103i
\(7\) 1.14957 0.531850i 0.164225 0.0759785i −0.336055 0.941843i \(-0.609093\pi\)
0.500279 + 0.865864i \(0.333231\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) −1.96666 8.78250i −0.218518 0.975833i
\(10\) 7.03021 8.27660i 0.703021 0.827660i
\(11\) 3.29655 + 0.915283i 0.299686 + 0.0832075i 0.414117 0.910224i \(-0.364090\pi\)
−0.114430 + 0.993431i \(0.536504\pi\)
\(12\) 5.82001 1.45860i 0.485001 0.121550i
\(13\) 3.53526 6.66820i 0.271943 0.512938i −0.709497 0.704708i \(-0.751078\pi\)
0.981440 + 0.191770i \(0.0614227\pi\)
\(14\) 0.193674 + 1.78080i 0.0138339 + 0.127200i
\(15\) 20.0325 11.3739i 1.33550 0.758263i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) −9.75211 + 21.0788i −0.573653 + 1.23993i 0.375997 + 0.926621i \(0.377300\pi\)
−0.949651 + 0.313311i \(0.898562\pi\)
\(18\) 12.6582 + 1.33014i 0.703235 + 0.0738968i
\(19\) 9.04073 1.99001i 0.475828 0.104738i 0.0294197 0.999567i \(-0.490634\pi\)
0.446408 + 0.894830i \(0.352703\pi\)
\(20\) 7.91760 + 13.1592i 0.395880 + 0.657958i
\(21\) −0.910366 + 3.68927i −0.0433507 + 0.175679i
\(22\) −2.71524 + 4.00468i −0.123420 + 0.182031i
\(23\) 1.75880 + 0.288341i 0.0764696 + 0.0125366i 0.199895 0.979817i \(-0.435940\pi\)
−0.123426 + 0.992354i \(0.539388\pi\)
\(24\) −0.673288 + 8.45853i −0.0280537 + 0.352439i
\(25\) 24.6570 + 23.3563i 0.986278 + 0.934252i
\(26\) 7.34023 + 7.74899i 0.282317 + 0.298038i
\(27\) 24.2536 + 11.8644i 0.898281 + 0.439422i
\(28\) −2.47406 0.544582i −0.0883593 0.0194493i
\(29\) −1.28084 3.80139i −0.0441668 0.131082i 0.923301 0.384078i \(-0.125481\pi\)
−0.967467 + 0.252996i \(0.918584\pi\)
\(30\) 6.19731 + 31.9832i 0.206577 + 1.06611i
\(31\) 8.69040 + 1.91290i 0.280336 + 0.0617065i 0.352913 0.935656i \(-0.385191\pi\)
−0.0725770 + 0.997363i \(0.523122\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) −8.32522 + 6.00296i −0.252280 + 0.181908i
\(34\) −23.8459 22.5880i −0.701349 0.664353i
\(35\) −9.71195 + 0.526567i −0.277484 + 0.0150448i
\(36\) −7.49859 + 16.3637i −0.208294 + 0.454548i
\(37\) 10.1856 15.0227i 0.275287 0.406018i −0.664763 0.747054i \(-0.731467\pi\)
0.940050 + 0.341036i \(0.110778\pi\)
\(38\) −1.41545 + 13.0148i −0.0372487 + 0.342496i
\(39\) 8.98501 + 20.7831i 0.230385 + 0.532899i
\(40\) −21.2110 + 4.66889i −0.530274 + 0.116722i
\(41\) 21.7305 3.56253i 0.530012 0.0868911i 0.109167 0.994023i \(-0.465182\pi\)
0.420845 + 0.907132i \(0.361733\pi\)
\(42\) −4.53321 2.88599i −0.107934 0.0687139i
\(43\) 3.51177 + 12.6482i 0.0816690 + 0.294145i 0.993094 0.117321i \(-0.0374306\pi\)
−0.911425 + 0.411466i \(0.865017\pi\)
\(44\) −4.14091 5.44728i −0.0941116 0.123802i
\(45\) −10.9326 + 68.2384i −0.242948 + 1.51641i
\(46\) −1.18063 + 2.22691i −0.0256660 + 0.0484112i
\(47\) 78.8513 31.4172i 1.67769 0.668452i 0.679799 0.733398i \(-0.262067\pi\)
0.997889 + 0.0649466i \(0.0206877\pi\)
\(48\) −11.0320 4.72187i −0.229832 0.0983722i
\(49\) −30.6833 + 36.1231i −0.626189 + 0.737207i
\(50\) −42.4359 + 22.4981i −0.848717 + 0.449961i
\(51\) −31.0714 62.3647i −0.609242 1.22284i
\(52\) −13.6996 + 6.33812i −0.263454 + 0.121887i
\(53\) −3.42585 + 2.90994i −0.0646386 + 0.0549046i −0.679123 0.734024i \(-0.737640\pi\)
0.614485 + 0.788929i \(0.289364\pi\)
\(54\) −26.8524 + 27.1468i −0.497267 + 0.502718i
\(55\) −20.9141 15.8985i −0.380256 0.289063i
\(56\) 1.84703 3.06978i 0.0329826 0.0548176i
\(57\) −12.2940 + 24.9021i −0.215684 + 0.436878i
\(58\) 5.67293 0.0978092
\(59\) −24.5882 53.6323i −0.416748 0.909022i
\(60\) −45.6619 6.13682i −0.761031 0.102280i
\(61\) 92.3366 + 31.1118i 1.51372 + 0.510030i 0.949005 0.315260i \(-0.102092\pi\)
0.564710 + 0.825290i \(0.308988\pi\)
\(62\) −6.48788 + 10.7829i −0.104643 + 0.173919i
\(63\) −6.93179 9.05017i −0.110028 0.143653i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) −44.1706 + 37.5188i −0.679547 + 0.577213i
\(66\) −4.28573 13.8680i −0.0649353 0.210122i
\(67\) 15.6576 + 23.0932i 0.233695 + 0.344674i 0.926396 0.376550i \(-0.122890\pi\)
−0.692701 + 0.721225i \(0.743579\pi\)
\(68\) 41.0399 21.7580i 0.603528 0.319970i
\(69\) −3.97344 + 3.57778i −0.0575860 + 0.0518519i
\(70\) 3.67984 13.2536i 0.0525691 0.189337i
\(71\) 61.6099 24.5476i 0.867745 0.345741i 0.106583 0.994304i \(-0.466009\pi\)
0.761161 + 0.648563i \(0.224630\pi\)
\(72\) −18.5443 17.4387i −0.257560 0.242204i
\(73\) 115.937 12.6090i 1.58818 0.172725i 0.729044 0.684467i \(-0.239965\pi\)
0.859140 + 0.511741i \(0.170999\pi\)
\(74\) 15.5337 + 20.4343i 0.209915 + 0.276139i
\(75\) −100.931 + 13.9384i −1.34575 + 0.185845i
\(76\) −16.8031 7.77396i −0.221094 0.102289i
\(77\) 4.27642 0.701084i 0.0555380 0.00910499i
\(78\) −31.9104 + 2.65675i −0.409108 + 0.0340609i
\(79\) −2.13064 + 1.28196i −0.0269701 + 0.0162274i −0.528975 0.848637i \(-0.677423\pi\)
0.502005 + 0.864865i \(0.332596\pi\)
\(80\) 3.32087 30.5349i 0.0415109 0.381686i
\(81\) −73.2645 + 34.5444i −0.904500 + 0.426474i
\(82\) −5.03818 + 30.7316i −0.0614413 + 0.374775i
\(83\) 75.6797 4.10323i 0.911804 0.0494366i 0.407735 0.913100i \(-0.366319\pi\)
0.504069 + 0.863664i \(0.331836\pi\)
\(84\) 5.91477 4.77214i 0.0704140 0.0568112i
\(85\) 129.475 122.646i 1.52324 1.44289i
\(86\) −18.5367 1.00503i −0.215544 0.0116864i
\(87\) 11.3034 + 4.12939i 0.129925 + 0.0474642i
\(88\) 9.17022 3.08981i 0.104207 0.0351115i
\(89\) −23.1533 68.7165i −0.260149 0.772096i −0.995530 0.0944419i \(-0.969893\pi\)
0.735381 0.677654i \(-0.237003\pi\)
\(90\) −86.5152 45.4655i −0.961280 0.505172i
\(91\) 0.517559 9.54582i 0.00568746 0.104899i
\(92\) −2.45135 2.58785i −0.0266451 0.0281288i
\(93\) −20.7763 + 16.7627i −0.223401 + 0.180244i
\(94\) 6.49873 + 119.862i 0.0691355 + 1.27513i
\(95\) −70.1468 11.5000i −0.738387 0.121052i
\(96\) 11.3098 12.6526i 0.117810 0.131798i
\(97\) 151.308 + 16.4557i 1.55988 + 0.169647i 0.846981 0.531624i \(-0.178418\pi\)
0.712895 + 0.701271i \(0.247384\pi\)
\(98\) −34.5563 57.4330i −0.352615 0.586051i
\(99\) 1.55527 30.7520i 0.0157098 0.310626i
\(100\) −10.9892 67.0311i −0.109892 0.670311i
\(101\) 24.9010 53.8226i 0.246544 0.532897i −0.744310 0.667835i \(-0.767221\pi\)
0.990854 + 0.134938i \(0.0430834\pi\)
\(102\) 97.6108 13.4799i 0.956969 0.132156i
\(103\) −39.7884 + 30.2464i −0.386295 + 0.293654i −0.780240 0.625480i \(-0.784903\pi\)
0.393945 + 0.919134i \(0.371110\pi\)
\(104\) −2.30804 21.2221i −0.0221927 0.204058i
\(105\) 16.9796 23.7295i 0.161710 0.225995i
\(106\) −2.35288 5.90528i −0.0221970 0.0557102i
\(107\) −59.9995 16.6588i −0.560743 0.155690i −0.0244192 0.999702i \(-0.507774\pi\)
−0.536324 + 0.844012i \(0.680187\pi\)
\(108\) −24.2562 48.2456i −0.224594 0.446719i
\(109\) −36.9405 69.6772i −0.338904 0.639240i 0.654221 0.756304i \(-0.272997\pi\)
−0.993124 + 0.117064i \(0.962652\pi\)
\(110\) 30.7509 20.8496i 0.279553 0.189542i
\(111\) 16.0770 + 52.0229i 0.144838 + 0.468675i
\(112\) 3.28003 + 3.86155i 0.0292860 + 0.0344781i
\(113\) −29.8603 11.8974i −0.264251 0.105287i 0.234250 0.972176i \(-0.424737\pi\)
−0.498501 + 0.866889i \(0.666116\pi\)
\(114\) −27.8219 27.7210i −0.244052 0.243166i
\(115\) −11.7266 7.05569i −0.101971 0.0613538i
\(116\) −2.56167 + 7.60277i −0.0220834 + 0.0655411i
\(117\) −65.5161 17.9343i −0.559967 0.153285i
\(118\) 82.9802 8.73443i 0.703222 0.0740206i
\(119\) 29.4183i 0.247213i
\(120\) 28.8436 58.4242i 0.240363 0.486868i
\(121\) −93.6502 56.3475i −0.773969 0.465682i
\(122\) −83.3912 + 109.699i −0.683534 + 0.899174i
\(123\) −32.4085 + 57.5660i −0.263484 + 0.468016i
\(124\) −11.5215 13.5641i −0.0929150 0.109388i
\(125\) −28.8985 62.4631i −0.231188 0.499705i
\(126\) 15.2590 5.20318i 0.121103 0.0412950i
\(127\) −56.1122 105.839i −0.441828 0.833376i −0.999993 0.00364656i \(-0.998839\pi\)
0.558165 0.829730i \(-0.311506\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) −36.2033 15.4956i −0.280646 0.120121i
\(130\) −30.3364 76.1387i −0.233357 0.585682i
\(131\) −215.018 113.995i −1.64136 0.870193i −0.994165 0.107867i \(-0.965598\pi\)
−0.647193 0.762326i \(-0.724057\pi\)
\(132\) 20.5210 + 0.518590i 0.155462 + 0.00392872i
\(133\) 9.33460 7.09598i 0.0701850 0.0533532i
\(134\) −38.0194 + 10.5560i −0.283727 + 0.0787765i
\(135\) −139.289 153.566i −1.03177 1.13753i
\(136\) 10.6277 + 64.8261i 0.0781448 + 0.476662i
\(137\) 46.7654 + 212.457i 0.341353 + 1.55078i 0.764440 + 0.644695i \(0.223016\pi\)
−0.423087 + 0.906089i \(0.639053\pi\)
\(138\) −3.00064 6.94072i −0.0217437 0.0502951i
\(139\) 148.128 + 16.1099i 1.06567 + 0.115898i 0.624112 0.781335i \(-0.285461\pi\)
0.441556 + 0.897233i \(0.354427\pi\)
\(140\) 16.1006 + 10.9165i 0.115004 + 0.0779747i
\(141\) −74.3000 + 243.558i −0.526950 + 1.72736i
\(142\) 5.07773 + 93.6533i 0.0357587 + 0.659530i
\(143\) 17.7574 18.7463i 0.124178 0.131093i
\(144\) 31.7449 16.9782i 0.220451 0.117904i
\(145\) −1.66760 + 30.7571i −0.0115007 + 0.212118i
\(146\) −35.4545 + 161.071i −0.242839 + 1.10323i
\(147\) −27.0481 139.590i −0.184001 0.949595i
\(148\) −34.4001 + 11.5907i −0.232433 + 0.0783158i
\(149\) 51.3415 233.247i 0.344574 1.56541i −0.411799 0.911275i \(-0.635100\pi\)
0.756373 0.654140i \(-0.226969\pi\)
\(150\) 26.8964 141.560i 0.179310 0.943734i
\(151\) −146.504 + 138.776i −0.970224 + 0.919045i −0.996746 0.0806035i \(-0.974315\pi\)
0.0265226 + 0.999648i \(0.491557\pi\)
\(152\) 18.0062 19.0089i 0.118462 0.125058i
\(153\) 204.304 + 44.1930i 1.33532 + 0.288843i
\(154\) −0.991482 + 6.04778i −0.00643820 + 0.0392713i
\(155\) −56.5550 38.3452i −0.364871 0.247389i
\(156\) 10.8489 43.9655i 0.0695445 0.281830i
\(157\) 113.521 68.3030i 0.723061 0.435051i −0.105886 0.994378i \(-0.533768\pi\)
0.828947 + 0.559327i \(0.188940\pi\)
\(158\) −0.755953 3.43433i −0.00478451 0.0217363i
\(159\) −0.389648 13.4791i −0.00245062 0.0847742i
\(160\) 39.4228 + 18.2389i 0.246392 + 0.113993i
\(161\) 2.17523 0.603949i 0.0135107 0.00375123i
\(162\) −13.2124 113.787i −0.0815583 0.702388i
\(163\) −96.9702 + 10.5461i −0.594909 + 0.0647003i −0.400620 0.916244i \(-0.631205\pi\)
−0.194289 + 0.980944i \(0.562240\pi\)
\(164\) −38.9109 20.6293i −0.237262 0.125788i
\(165\) 76.4484 19.1594i 0.463324 0.116118i
\(166\) −28.6749 + 103.278i −0.172740 + 0.622154i
\(167\) 72.7539 + 61.7977i 0.435652 + 0.370046i 0.838209 0.545349i \(-0.183603\pi\)
−0.402557 + 0.915395i \(0.631879\pi\)
\(168\) 3.72467 + 10.0818i 0.0221707 + 0.0600107i
\(169\) 62.8738 + 92.7319i 0.372034 + 0.548709i
\(170\) 105.902 + 228.903i 0.622952 + 1.34649i
\(171\) −35.2573 75.4865i −0.206183 0.441441i
\(172\) 9.71739 24.3888i 0.0564965 0.141795i
\(173\) 26.6689 35.0823i 0.154156 0.202788i −0.712532 0.701640i \(-0.752452\pi\)
0.866687 + 0.498852i \(0.166245\pi\)
\(174\) −10.6383 + 13.2840i −0.0611398 + 0.0763450i
\(175\) 40.7670 + 13.7360i 0.232955 + 0.0784915i
\(176\) 13.6850i 0.0777558i
\(177\) 171.698 + 42.9986i 0.970044 + 0.242930i
\(178\) 102.548 0.576112
\(179\) 98.0399 290.972i 0.547709 1.62554i −0.213433 0.976958i \(-0.568465\pi\)
0.761142 0.648585i \(-0.224639\pi\)
\(180\) 99.9990 95.4159i 0.555550 0.530088i
\(181\) 15.9733 + 12.1426i 0.0882502 + 0.0670861i 0.648369 0.761326i \(-0.275451\pi\)
−0.560119 + 0.828412i \(0.689245\pi\)
\(182\) 12.5594 + 5.00414i 0.0690079 + 0.0274953i
\(183\) −246.010 + 157.877i −1.34432 + 0.862715i
\(184\) 4.57513 2.11668i 0.0248648 0.0115037i
\(185\) −115.355 + 78.2127i −0.623541 + 0.422771i
\(186\) −13.0833 35.4134i −0.0703404 0.190395i
\(187\) −51.4414 + 60.5615i −0.275088 + 0.323858i
\(188\) −163.572 45.4155i −0.870063 0.241572i
\(189\) 34.1914 + 0.739749i 0.180907 + 0.00391401i
\(190\) 47.0876 88.8167i 0.247830 0.467456i
\(191\) 32.6881 + 300.562i 0.171142 + 1.57363i 0.693219 + 0.720727i \(0.256192\pi\)
−0.522077 + 0.852898i \(0.674843\pi\)
\(192\) 11.8498 + 20.8706i 0.0617178 + 0.108701i
\(193\) 27.5862 + 99.3564i 0.142934 + 0.514800i 1.00000 0.000405877i \(-0.000129195\pi\)
−0.857066 + 0.515206i \(0.827715\pi\)
\(194\) −90.3784 + 195.350i −0.465868 + 1.00696i
\(195\) −5.02386 173.790i −0.0257634 0.891232i
\(196\) 92.5751 20.3773i 0.472322 0.103966i
\(197\) 99.2682 + 164.985i 0.503899 + 0.837487i 0.999518 0.0310532i \(-0.00988612\pi\)
−0.495618 + 0.868540i \(0.665059\pi\)
\(198\) 40.5110 + 15.9707i 0.204601 + 0.0806603i
\(199\) −71.3614 + 105.250i −0.358600 + 0.528896i −0.963606 0.267325i \(-0.913860\pi\)
0.605006 + 0.796221i \(0.293171\pi\)
\(200\) 94.7963 + 15.5411i 0.473981 + 0.0777053i
\(201\) −83.4385 6.64159i −0.415117 0.0330428i
\(202\) 60.8879 + 57.6761i 0.301425 + 0.285525i
\(203\) −3.49418 3.68876i −0.0172127 0.0181712i
\(204\) −26.0117 + 136.903i −0.127508 + 0.671095i
\(205\) −165.137 36.3494i −0.805546 0.177314i
\(206\) −22.5688 66.9818i −0.109557 0.325155i
\(207\) −0.926611 16.0137i −0.00447638 0.0773610i
\(208\) 29.4837 + 6.48985i 0.141749 + 0.0312012i
\(209\) 31.6246 + 1.71464i 0.151314 + 0.00820401i
\(210\) 24.1345 + 33.4711i 0.114926 + 0.159386i
\(211\) −159.509 151.095i −0.755966 0.716089i 0.209158 0.977882i \(-0.432928\pi\)
−0.965124 + 0.261793i \(0.915686\pi\)
\(212\) 8.97663 0.486699i 0.0423426 0.00229575i
\(213\) −58.0537 + 190.302i −0.272553 + 0.893439i
\(214\) 49.4193 72.8879i 0.230931 0.340598i
\(215\) 10.8980 100.206i 0.0506885 0.466073i
\(216\) 75.6111 10.7219i 0.350051 0.0496384i
\(217\) 11.0076 2.42297i 0.0507265 0.0111657i
\(218\) 110.061 18.0436i 0.504867 0.0827688i
\(219\) −187.889 + 295.130i −0.857942 + 1.34763i
\(220\) 14.0564 + 50.6267i 0.0638929 + 0.230121i
\(221\) 106.082 + 139.548i 0.480008 + 0.631439i
\(222\) −76.9800 1.94538i −0.346757 0.00876296i
\(223\) 126.532 238.664i 0.567407 1.07024i −0.419317 0.907840i \(-0.637730\pi\)
0.986724 0.162404i \(-0.0519247\pi\)
\(224\) −6.65632 + 2.65212i −0.0297157 + 0.0118398i
\(225\) 156.635 262.484i 0.696155 1.16659i
\(226\) 29.4285 34.6459i 0.130215 0.153301i
\(227\) −4.91085 + 2.60357i −0.0216337 + 0.0114695i −0.479190 0.877711i \(-0.659070\pi\)
0.457556 + 0.889181i \(0.348725\pi\)
\(228\) 49.7144 24.7687i 0.218046 0.108635i
\(229\) −20.9095 + 9.67374i −0.0913076 + 0.0422434i −0.465011 0.885305i \(-0.653950\pi\)
0.373704 + 0.927548i \(0.378088\pi\)
\(230\) 14.7512 12.5298i 0.0641357 0.0544774i
\(231\) −6.37779 + 11.3286i −0.0276095 + 0.0490416i
\(232\) −9.03236 6.86622i −0.0389326 0.0295958i
\(233\) 118.475 196.906i 0.508475 0.845092i −0.491188 0.871053i \(-0.663437\pi\)
0.999663 + 0.0259618i \(0.00826484\pi\)
\(234\) 53.6197 79.7052i 0.229144 0.340620i
\(235\) −651.769 −2.77349
\(236\) −25.7648 + 115.153i −0.109173 + 0.487936i
\(237\) 0.993631 7.39324i 0.00419253 0.0311951i
\(238\) −39.4260 13.2842i −0.165655 0.0558158i
\(239\) −144.184 + 239.636i −0.603281 + 1.00266i 0.393249 + 0.919432i \(0.371351\pi\)
−0.996530 + 0.0832295i \(0.973477\pi\)
\(240\) 65.2745 + 65.0377i 0.271977 + 0.270991i
\(241\) −57.3363 + 143.903i −0.237910 + 0.597109i −0.998650 0.0519481i \(-0.983457\pi\)
0.760740 + 0.649057i \(0.224836\pi\)
\(242\) 117.805 100.064i 0.486796 0.413489i
\(243\) 56.5005 236.340i 0.232512 0.972593i
\(244\) −109.361 161.295i −0.448201 0.661046i
\(245\) 321.544 170.472i 1.31242 0.695803i
\(246\) −62.5146 69.4279i −0.254124 0.282227i
\(247\) 18.6915 67.3206i 0.0756740 0.272553i
\(248\) 23.3810 9.31586i 0.0942784 0.0375640i
\(249\) −132.312 + 184.910i −0.531374 + 0.742611i
\(250\) 96.7615 10.5234i 0.387046 0.0420938i
\(251\) −10.2133 13.4354i −0.0406906 0.0535276i 0.775298 0.631596i \(-0.217600\pi\)
−0.815988 + 0.578068i \(0.803807\pi\)
\(252\) 0.0828464 + 22.7994i 0.000328756 + 0.0904739i
\(253\) 5.53406 + 2.56033i 0.0218738 + 0.0101199i
\(254\) 167.182 27.4080i 0.658195 0.107906i
\(255\) 44.3908 + 533.181i 0.174082 + 2.09091i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) −48.9794 + 450.358i −0.190581 + 1.75237i 0.374404 + 0.927266i \(0.377847\pi\)
−0.564985 + 0.825101i \(0.691118\pi\)
\(258\) 37.1150 41.5219i 0.143857 0.160937i
\(259\) 3.71933 22.6869i 0.0143603 0.0875942i
\(260\) 115.739 6.27517i 0.445149 0.0241353i
\(261\) −30.8667 + 18.7250i −0.118263 + 0.0717432i
\(262\) 249.868 236.688i 0.953696 0.903389i
\(263\) 411.636 + 22.3182i 1.56516 + 0.0848603i 0.816204 0.577764i \(-0.196075\pi\)
0.748952 + 0.662625i \(0.230557\pi\)
\(264\) −9.96147 + 27.2677i −0.0377329 + 0.103287i
\(265\) 32.7084 11.0208i 0.123428 0.0415878i
\(266\) 5.29478 + 15.7143i 0.0199052 + 0.0590765i
\(267\) 204.329 + 74.6457i 0.765277 + 0.279572i
\(268\) 3.02104 55.7197i 0.0112725 0.207910i
\(269\) 166.551 + 175.826i 0.619148 + 0.653627i 0.957851 0.287267i \(-0.0927466\pi\)
−0.338702 + 0.940894i \(0.609988\pi\)
\(270\) 268.705 117.328i 0.995202 0.434548i
\(271\) 11.5095 + 212.279i 0.0424703 + 0.783319i 0.939751 + 0.341859i \(0.111056\pi\)
−0.897281 + 0.441460i \(0.854461\pi\)
\(272\) −91.6779 15.0298i −0.337051 0.0552567i
\(273\) 21.3824 + 19.1130i 0.0783238 + 0.0700110i
\(274\) −305.849 33.2631i −1.11624 0.121398i
\(275\) 59.9053 + 99.5633i 0.217837 + 0.362049i
\(276\) 10.6568 0.887249i 0.0386116 0.00321467i
\(277\) 54.8924 + 334.829i 0.198167 + 1.20877i 0.879178 + 0.476494i \(0.158093\pi\)
−0.681010 + 0.732274i \(0.738459\pi\)
\(278\) −88.4789 + 191.244i −0.318269 + 0.687928i
\(279\) −0.291007 80.0855i −0.00104304 0.287045i
\(280\) −21.9004 + 16.6483i −0.0782158 + 0.0594581i
\(281\) 43.8946 + 403.604i 0.156208 + 1.43631i 0.765535 + 0.643394i \(0.222474\pi\)
−0.609327 + 0.792919i \(0.708560\pi\)
\(282\) −292.862 209.557i −1.03852 0.743110i
\(283\) −80.7817 202.747i −0.285448 0.716420i −0.999861 0.0166955i \(-0.994685\pi\)
0.714413 0.699724i \(-0.246694\pi\)
\(284\) −127.806 35.4850i −0.450020 0.124947i
\(285\) 158.474 142.694i 0.556048 0.500680i
\(286\) 17.1049 + 32.2633i 0.0598075 + 0.112809i
\(287\) 23.0861 15.6528i 0.0804393 0.0545392i
\(288\) 8.41910 + 50.2107i 0.0292330 + 0.174343i
\(289\) −162.119 190.861i −0.560966 0.660420i
\(290\) −40.4671 16.1236i −0.139542 0.0555985i
\(291\) −322.278 + 323.451i −1.10749 + 1.11152i
\(292\) −199.855 120.249i −0.684436 0.411811i
\(293\) 133.602 396.516i 0.455978 1.35330i −0.435482 0.900197i \(-0.643422\pi\)
0.891461 0.453098i \(-0.149681\pi\)
\(294\) 199.291 + 26.7841i 0.677860 + 0.0911024i
\(295\) 22.9630 + 452.463i 0.0778408 + 1.53377i
\(296\) 51.3364i 0.173434i
\(297\) 69.0939 + 61.3105i 0.232639 + 0.206433i
\(298\) 289.410 + 174.132i 0.971174 + 0.584336i
\(299\) 8.14052 10.7087i 0.0272258 0.0358150i
\(300\) 177.571 + 99.9691i 0.591904 + 0.333230i
\(301\) 10.7640 + 12.6724i 0.0357608 + 0.0421009i
\(302\) −119.830 259.008i −0.396787 0.857641i
\(303\) 79.3375 + 159.242i 0.261840 + 0.525551i
\(304\) 17.3445 + 32.7152i 0.0570543 + 0.107616i
\(305\) −570.245 484.371i −1.86966 1.58810i
\(306\) −151.482 + 253.849i −0.495040 + 0.829572i
\(307\) 65.1707 + 163.566i 0.212282 + 0.532789i 0.996103 0.0881987i \(-0.0281111\pi\)
−0.783820 + 0.620988i \(0.786732\pi\)
\(308\) −7.65742 4.05971i −0.0248617 0.0131809i
\(309\) 3.78793 149.891i 0.0122587 0.485084i
\(310\) 76.9277 58.4789i 0.248154 0.188642i
\(311\) 96.3120 26.7409i 0.309685 0.0859836i −0.109209 0.994019i \(-0.534832\pi\)
0.418894 + 0.908035i \(0.362418\pi\)
\(312\) 54.0229 + 34.3927i 0.173150 + 0.110233i
\(313\) −18.2855 111.537i −0.0584202 0.356347i −0.999819 0.0190505i \(-0.993936\pi\)
0.941398 0.337297i \(-0.109513\pi\)
\(314\) 40.2772 + 182.981i 0.128271 + 0.582743i
\(315\) 23.7247 + 84.2596i 0.0753164 + 0.267491i
\(316\) 4.94399 + 0.537691i 0.0156455 + 0.00170155i
\(317\) −335.920 227.759i −1.05968 0.718484i −0.0987083 0.995116i \(-0.531471\pi\)
−0.960976 + 0.276633i \(0.910781\pi\)
\(318\) 18.2404 + 5.56443i 0.0573598 + 0.0174982i
\(319\) −0.742998 13.7038i −0.00232915 0.0429586i
\(320\) −42.2453 + 44.5978i −0.132017 + 0.139368i
\(321\) 151.525 109.258i 0.472040 0.340368i
\(322\) −0.172844 + 3.18792i −0.000536783 + 0.00990038i
\(323\) −46.2190 + 209.975i −0.143093 + 0.650077i
\(324\) 158.461 + 33.6745i 0.489079 + 0.103934i
\(325\) 242.913 81.8470i 0.747425 0.251837i
\(326\) 29.6541 134.720i 0.0909636 0.413252i
\(327\) 232.433 + 44.1623i 0.710805 + 0.135053i
\(328\) 45.2176 42.8324i 0.137859 0.130587i
\(329\) 73.9362 78.0535i 0.224730 0.237245i
\(330\) −8.84394 + 111.107i −0.0267998 + 0.336687i
\(331\) 57.9844 353.689i 0.175179 1.06855i −0.742096 0.670294i \(-0.766168\pi\)
0.917275 0.398253i \(-0.130384\pi\)
\(332\) −125.463 85.0657i −0.377899 0.256222i
\(333\) −151.968 59.9107i −0.456361 0.179912i
\(334\) −115.673 + 69.5982i −0.346327 + 0.208378i
\(335\) −46.0559 209.234i −0.137480 0.624579i
\(336\) −15.1934 + 0.439204i −0.0452184 + 0.00130715i
\(337\) 269.256 + 124.571i 0.798979 + 0.369647i 0.776513 0.630101i \(-0.216986\pi\)
0.0224652 + 0.999748i \(0.492849\pi\)
\(338\) −152.669 + 42.3884i −0.451684 + 0.125409i
\(339\) 83.8561 47.6114i 0.247363 0.140447i
\(340\) −354.593 + 38.5643i −1.04292 + 0.113424i
\(341\) 26.8975 + 14.2602i 0.0788783 + 0.0418186i
\(342\) 117.087 13.1646i 0.342358 0.0384930i
\(343\) −32.6649 + 117.648i −0.0952330 + 0.342998i
\(344\) 28.2975 + 24.0361i 0.0822602 + 0.0698724i
\(345\) 38.5127 14.2283i 0.111631 0.0412416i
\(346\) 34.9742 + 51.5830i 0.101081 + 0.149084i
\(347\) −7.89562 17.0661i −0.0227539 0.0491818i 0.895865 0.444326i \(-0.146557\pi\)
−0.918619 + 0.395144i \(0.870695\pi\)
\(348\) −12.9992 20.2559i −0.0373540 0.0582065i
\(349\) −49.1092 + 123.255i −0.140714 + 0.353165i −0.982397 0.186807i \(-0.940186\pi\)
0.841683 + 0.539973i \(0.181565\pi\)
\(350\) −36.8176 + 48.4327i −0.105193 + 0.138379i
\(351\) 164.857 119.784i 0.469677 0.341265i
\(352\) −18.3404 6.17962i −0.0521035 0.0175557i
\(353\) 483.063i 1.36845i −0.729271 0.684225i \(-0.760141\pi\)
0.729271 0.684225i \(-0.239859\pi\)
\(354\) −135.158 + 210.690i −0.381802 + 0.595170i
\(355\) −509.255 −1.43452
\(356\) −46.3066 + 137.433i −0.130075 + 0.386048i
\(357\) −68.8875 55.1676i −0.192962 0.154531i
\(358\) 345.685 + 262.783i 0.965601 + 0.734031i
\(359\) 468.745 + 186.765i 1.30570 + 0.520237i 0.916174 0.400781i \(-0.131261\pi\)
0.389522 + 0.921017i \(0.372640\pi\)
\(360\) 82.7192 + 177.103i 0.229776 + 0.491953i
\(361\) −249.860 + 115.598i −0.692133 + 0.320215i
\(362\) −23.4862 + 15.9240i −0.0648790 + 0.0439890i
\(363\) 307.566 113.629i 0.847290 0.313027i
\(364\) −12.3778 + 14.5723i −0.0340050 + 0.0400338i
\(365\) −862.861 239.572i −2.36400 0.656362i
\(366\) −100.496 400.990i −0.274578 1.09560i
\(367\) 180.961 341.329i 0.493083 0.930053i −0.504687 0.863303i \(-0.668392\pi\)
0.997770 0.0667505i \(-0.0212632\pi\)
\(368\) 0.770793 + 7.08733i 0.00209455 + 0.0192590i
\(369\) −74.0244 183.842i −0.200608 0.498216i
\(370\) −52.7296 189.915i −0.142512 0.513283i
\(371\) −2.39062 + 5.16723i −0.00644371 + 0.0139278i
\(372\) 53.3684 1.54275i 0.143463 0.00414718i
\(373\) 219.191 48.2475i 0.587643 0.129350i 0.0888106 0.996049i \(-0.471693\pi\)
0.498832 + 0.866699i \(0.333762\pi\)
\(374\) −57.9347 96.2882i −0.154906 0.257455i
\(375\) 200.460 + 49.4655i 0.534559 + 0.131908i
\(376\) 134.728 198.708i 0.358318 0.528480i
\(377\) −29.8765 4.89800i −0.0792480 0.0129920i
\(378\) −16.4309 + 45.4887i −0.0434679 + 0.120340i
\(379\) −483.834 458.311i −1.27661 1.20927i −0.965946 0.258744i \(-0.916691\pi\)
−0.310660 0.950521i \(-0.600550\pi\)
\(380\) 97.7678 + 103.212i 0.257284 + 0.271611i
\(381\) 353.064 + 67.0821i 0.926676 + 0.176069i
\(382\) −417.570 91.9140i −1.09311 0.240613i
\(383\) −114.224 339.006i −0.298236 0.885133i −0.987081 0.160224i \(-0.948778\pi\)
0.688845 0.724909i \(-0.258118\pi\)
\(384\) −33.3213 + 6.45660i −0.0867743 + 0.0168141i
\(385\) −32.4979 7.15333i −0.0844101 0.0185801i
\(386\) −145.613 7.89489i −0.377235 0.0204531i
\(387\) 104.177 55.7169i 0.269190 0.143971i
\(388\) −220.993 209.336i −0.569570 0.539526i
\(389\) 14.7585 0.800185i 0.0379397 0.00205703i −0.0351593 0.999382i \(-0.511194\pi\)
0.0730990 + 0.997325i \(0.476711\pi\)
\(390\) 235.180 + 71.7440i 0.603025 + 0.183959i
\(391\) −23.2299 + 34.2616i −0.0594115 + 0.0876254i
\(392\) −14.4939 + 133.269i −0.0369742 + 0.339972i
\(393\) 670.156 289.724i 1.70523 0.737211i
\(394\) −265.936 + 58.5369i −0.674964 + 0.148571i
\(395\) 18.8422 3.08902i 0.0477017 0.00782030i
\(396\) −39.6969 + 47.0805i −0.100245 + 0.118890i
\(397\) −162.094 583.810i −0.408297 1.47055i −0.826882 0.562376i \(-0.809887\pi\)
0.418584 0.908178i \(-0.362526\pi\)
\(398\) −108.831 143.164i −0.273444 0.359709i
\(399\) −0.888671 + 35.1653i −0.00222724 + 0.0881336i
\(400\) −63.6341 + 120.027i −0.159085 + 0.300067i
\(401\) −24.5776 + 9.79261i −0.0612908 + 0.0244205i −0.400582 0.916261i \(-0.631192\pi\)
0.339291 + 0.940681i \(0.389813\pi\)
\(402\) 46.5785 108.824i 0.115867 0.270706i
\(403\) 43.4784 51.1867i 0.107887 0.127014i
\(404\) −104.791 + 55.5567i −0.259384 + 0.137517i
\(405\) 620.804 38.1858i 1.53285 0.0942858i
\(406\) 6.52146 3.01715i 0.0160627 0.00743140i
\(407\) 47.3274 40.2003i 0.116284 0.0987722i
\(408\) −171.730 96.6806i −0.420907 0.236962i
\(409\) 459.578 + 349.362i 1.12366 + 0.854186i 0.990582 0.136920i \(-0.0437203\pi\)
0.133080 + 0.991105i \(0.457513\pi\)
\(410\) 123.284 204.900i 0.300693 0.499756i
\(411\) −585.199 288.909i −1.42384 0.702941i
\(412\) 99.9592 0.242619
\(413\) −56.7902 48.5771i −0.137507 0.117620i
\(414\) 21.8798 + 5.98934i 0.0528497 + 0.0144670i
\(415\) −551.513 185.826i −1.32895 0.447775i
\(416\) −22.0113 + 36.5830i −0.0529117 + 0.0879399i
\(417\) −315.505 + 316.653i −0.756606 + 0.759360i
\(418\) −16.5784 + 41.6086i −0.0396612 + 0.0995420i
\(419\) −63.6530 + 54.0673i −0.151916 + 0.129039i −0.720121 0.693848i \(-0.755914\pi\)
0.568205 + 0.822887i \(0.307638\pi\)
\(420\) −55.7556 + 17.2305i −0.132751 + 0.0410250i
\(421\) 53.0630 + 78.2620i 0.126040 + 0.185896i 0.885474 0.464690i \(-0.153834\pi\)
−0.759433 + 0.650585i \(0.774524\pi\)
\(422\) 274.523 145.543i 0.650528 0.344888i
\(423\) −430.996 630.724i −1.01890 1.49107i
\(424\) −3.40123 + 12.2501i −0.00802176 + 0.0288918i
\(425\) −732.781 + 291.967i −1.72419 + 0.686980i
\(426\) −228.826 163.736i −0.537149 0.384356i
\(427\) 122.695 13.3438i 0.287341 0.0312502i
\(428\) 75.3675 + 99.1442i 0.176092 + 0.231645i
\(429\) 10.5971 + 76.7363i 0.0247020 + 0.178872i
\(430\) 129.373 + 59.8543i 0.300867 + 0.139196i
\(431\) 209.826 34.3993i 0.486836 0.0798127i 0.0866350 0.996240i \(-0.472389\pi\)
0.400201 + 0.916427i \(0.368940\pi\)
\(432\) −19.7737 + 106.174i −0.0457724 + 0.245774i
\(433\) −201.387 + 121.171i −0.465097 + 0.279840i −0.728752 0.684777i \(-0.759899\pi\)
0.263655 + 0.964617i \(0.415072\pi\)
\(434\) −1.72340 + 15.8464i −0.00397096 + 0.0365124i
\(435\) −68.8951 61.5830i −0.158379 0.141570i
\(436\) −25.5175 + 155.650i −0.0585264 + 0.356995i
\(437\) 16.4746 0.893229i 0.0376994 0.00204400i
\(438\) −310.686 385.075i −0.709328 0.879167i
\(439\) −207.995 + 197.023i −0.473792 + 0.448800i −0.886954 0.461858i \(-0.847183\pi\)
0.413162 + 0.910658i \(0.364424\pi\)
\(440\) −74.1964 4.02281i −0.168628 0.00914275i
\(441\) 377.595 + 198.434i 0.856224 + 0.449963i
\(442\) −234.922 + 79.1546i −0.531499 + 0.179083i
\(443\) −227.471 675.109i −0.513478 1.52395i −0.820159 0.572135i \(-0.806115\pi\)
0.306682 0.951812i \(-0.400781\pi\)
\(444\) 37.3683 102.289i 0.0841628 0.230380i
\(445\) −30.1447 + 555.986i −0.0677409 + 1.24941i
\(446\) 262.717 + 277.347i 0.589052 + 0.621855i
\(447\) 449.903 + 557.627i 1.00649 + 1.24749i
\(448\) −0.548597 10.1183i −0.00122455 0.0225855i
\(449\) −163.728 26.8419i −0.364651 0.0597814i −0.0233286 0.999728i \(-0.507426\pi\)
−0.341322 + 0.939946i \(0.610875\pi\)
\(450\) 281.046 + 328.447i 0.624547 + 0.729882i
\(451\) 74.8964 + 8.14548i 0.166067 + 0.0180609i
\(452\) 33.1431 + 55.0843i 0.0733256 + 0.121868i
\(453\) −50.2290 603.304i −0.110881 1.33180i
\(454\) −1.27171 7.75711i −0.00280113 0.0170862i
\(455\) −30.8230 + 66.6228i −0.0677428 + 0.146424i
\(456\) 10.7456 + 77.8111i 0.0235649 + 0.170638i
\(457\) −555.328 + 422.149i −1.21516 + 0.923740i −0.998619 0.0525337i \(-0.983270\pi\)
−0.216540 + 0.976274i \(0.569477\pi\)
\(458\) −3.52271 32.3908i −0.00769151 0.0707223i
\(459\) −486.611 + 395.534i −1.06016 + 0.861731i
\(460\) 10.1312 + 25.4273i 0.0220243 + 0.0552768i
\(461\) −292.158 81.1172i −0.633748 0.175959i −0.0642259 0.997935i \(-0.520458\pi\)
−0.569522 + 0.821976i \(0.692872\pi\)
\(462\) −12.3025 13.6630i −0.0266287 0.0295735i
\(463\) 160.770 + 303.243i 0.347234 + 0.654953i 0.994198 0.107568i \(-0.0343062\pi\)
−0.646963 + 0.762521i \(0.723961\pi\)
\(464\) 13.2807 9.00451i 0.0286221 0.0194063i
\(465\) 195.848 60.5240i 0.421177 0.130159i
\(466\) 210.392 + 247.693i 0.451486 + 0.531530i
\(467\) 463.028 + 184.487i 0.991494 + 0.395047i 0.808775 0.588118i \(-0.200131\pi\)
0.182719 + 0.983165i \(0.441510\pi\)
\(468\) 82.6071 + 107.852i 0.176511 + 0.230453i
\(469\) 30.2816 + 18.2199i 0.0645664 + 0.0388483i
\(470\) 294.313 873.491i 0.626198 1.85849i
\(471\) −52.9408 + 393.913i −0.112401 + 0.836333i
\(472\) −142.692 86.5281i −0.302313 0.183322i
\(473\) 44.9098i 0.0949468i
\(474\) 9.45962 + 4.67014i 0.0199570 + 0.00985263i
\(475\) 269.396 + 162.090i 0.567150 + 0.341243i
\(476\) 35.6065 46.8395i 0.0748035 0.0984023i
\(477\) 32.2940 + 24.3646i 0.0677024 + 0.0510789i
\(478\) −256.049 301.444i −0.535666 0.630635i
\(479\) −368.472 796.439i −0.769252 1.66271i −0.748687 0.662923i \(-0.769316\pi\)
−0.0205650 0.999789i \(-0.506546\pi\)
\(480\) −116.638 + 58.1114i −0.242996 + 0.121065i
\(481\) −64.1654 121.029i −0.133400 0.251619i
\(482\) −166.966 141.822i −0.346402 0.294237i
\(483\) −2.66492 + 6.22619i −0.00551743 + 0.0128907i
\(484\) 80.9085 + 203.065i 0.167166 + 0.419556i
\(485\) −1032.56 547.431i −2.12900 1.12872i
\(486\) 291.226 + 182.443i 0.599230 + 0.375397i
\(487\) 650.952 494.841i 1.33666 1.01610i 0.339511 0.940602i \(-0.389738\pi\)
0.997146 0.0754980i \(-0.0240546\pi\)
\(488\) 265.548 73.7292i 0.544157 0.151084i
\(489\) 157.151 246.847i 0.321372 0.504800i
\(490\) 83.2670 + 507.906i 0.169933 + 1.03654i
\(491\) 192.661 + 875.267i 0.392385 + 1.78262i 0.595383 + 0.803442i \(0.297000\pi\)
−0.202999 + 0.979179i \(0.565069\pi\)
\(492\) 121.275 52.4302i 0.246495 0.106565i
\(493\) 92.6196 + 10.0730i 0.187869 + 0.0204320i
\(494\) 81.7816 + 55.4493i 0.165550 + 0.112246i
\(495\) −98.4974 + 214.945i −0.198985 + 0.434232i
\(496\) 1.92701 + 35.5416i 0.00388510 + 0.0716564i
\(497\) 57.7695 60.9865i 0.116236 0.122709i
\(498\) −188.067 260.821i −0.377644 0.523737i
\(499\) 36.8270 679.234i 0.0738016 1.36119i −0.693756 0.720210i \(-0.744046\pi\)
0.767558 0.640980i \(-0.221472\pi\)
\(500\) −29.5903 + 134.430i −0.0591807 + 0.268860i
\(501\) −281.143 + 54.4763i −0.561163 + 0.108735i
\(502\) 22.6179 7.62085i 0.0450555 0.0151810i
\(503\) 63.6749 289.278i 0.126590 0.575105i −0.870033 0.492994i \(-0.835903\pi\)
0.996623 0.0821115i \(-0.0261664\pi\)
\(504\) −30.5928 10.1843i −0.0607001 0.0202069i
\(505\) −330.602 + 313.163i −0.654658 + 0.620125i
\(506\) −5.93028 + 6.26052i −0.0117199 + 0.0123726i
\(507\) −335.051 26.6697i −0.660851 0.0526029i
\(508\) −38.7608 + 236.430i −0.0763008 + 0.465414i
\(509\) 578.502 + 392.234i 1.13655 + 0.770598i 0.976288 0.216477i \(-0.0694566\pi\)
0.160259 + 0.987075i \(0.448767\pi\)
\(510\) −734.606 181.272i −1.44040 0.355435i
\(511\) 126.573 76.1562i 0.247696 0.149034i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) 242.880 + 58.9978i 0.473451 + 0.115005i
\(514\) −581.446 269.005i −1.13122 0.523357i
\(515\) 369.791 102.672i 0.718041 0.199363i
\(516\) 38.8873 + 68.4906i 0.0753629 + 0.132734i
\(517\) 288.693 31.3973i 0.558401 0.0607297i
\(518\) 28.7251 + 15.2291i 0.0554539 + 0.0293998i
\(519\) 32.1390 + 128.238i 0.0619248 + 0.247088i
\(520\) −43.8531 + 157.945i −0.0843329 + 0.303740i
\(521\) 689.367 + 585.554i 1.32316 + 1.12390i 0.983014 + 0.183531i \(0.0587527\pi\)
0.340147 + 0.940372i \(0.389523\pi\)
\(522\) −11.1567 49.8225i −0.0213730 0.0954454i
\(523\) 174.296 + 257.067i 0.333262 + 0.491524i 0.956992 0.290116i \(-0.0936938\pi\)
−0.623730 + 0.781640i \(0.714383\pi\)
\(524\) 204.375 + 441.748i 0.390028 + 0.843031i
\(525\) −108.615 + 69.7033i −0.206885 + 0.132768i
\(526\) −215.789 + 541.590i −0.410245 + 1.02964i
\(527\) −125.072 + 164.529i −0.237327 + 0.312199i
\(528\) −32.0455 25.6632i −0.0606923 0.0486046i
\(529\) −498.298 167.896i −0.941963 0.317384i
\(530\) 48.8119i 0.0920979i
\(531\) −422.669 + 321.422i −0.795987 + 0.605314i
\(532\) −23.4510 −0.0440809
\(533\) 53.0672 157.498i 0.0995632 0.295493i
\(534\) −192.306 + 240.131i −0.360123 + 0.449684i
\(535\) 380.651 + 289.363i 0.711497 + 0.540866i
\(536\) 73.3105 + 29.2096i 0.136773 + 0.0544955i
\(537\) 497.503 + 775.229i 0.926449 + 1.44363i
\(538\) −310.847 + 143.813i −0.577782 + 0.267310i
\(539\) −134.212 + 90.9979i −0.249002 + 0.168827i
\(540\) 35.9047 + 413.094i 0.0664902 + 0.764989i
\(541\) 309.411 364.267i 0.571924 0.673321i −0.397815 0.917466i \(-0.630231\pi\)
0.969739 + 0.244145i \(0.0785072\pi\)
\(542\) −289.691 80.4322i −0.534485 0.148399i
\(543\) −58.3880 + 14.6331i −0.107529 + 0.0269487i
\(544\) 61.5409 116.078i 0.113127 0.213379i
\(545\) 65.4741 + 602.025i 0.120136 + 1.10463i
\(546\) −35.2704 + 20.0257i −0.0645978 + 0.0366771i
\(547\) −86.0785 310.027i −0.157365 0.566777i −0.999616 0.0276922i \(-0.991184\pi\)
0.842252 0.539084i \(-0.181230\pi\)
\(548\) 182.688 394.874i 0.333373 0.720573i
\(549\) 91.6448 872.132i 0.166930 1.58858i
\(550\) −160.484 + 35.3252i −0.291789 + 0.0642277i
\(551\) −19.1445 31.8184i −0.0347450 0.0577467i
\(552\) −3.62312 + 14.6827i −0.00656362 + 0.0265991i
\(553\) −1.76751 + 2.60689i −0.00319623 + 0.00471408i
\(554\) −473.519 77.6296i −0.854728 0.140126i
\(555\) 33.1761 416.792i 0.0597768 0.750977i
\(556\) −216.349 204.936i −0.389116 0.368590i
\(557\) 648.754 + 684.881i 1.16473 + 1.22959i 0.968495 + 0.249032i \(0.0801125\pi\)
0.196234 + 0.980557i \(0.437129\pi\)
\(558\) 107.461 + 35.7734i 0.192582 + 0.0641101i
\(559\) 96.7560 + 21.2976i 0.173088 + 0.0380995i
\(560\) −12.4224 36.8683i −0.0221828 0.0658363i
\(561\) −45.3470 234.028i −0.0808324 0.417162i
\(562\) −560.724 123.425i −0.997730 0.219617i
\(563\) 693.807 + 37.6171i 1.23234 + 0.0668155i 0.658772 0.752343i \(-0.271076\pi\)
0.573568 + 0.819158i \(0.305559\pi\)
\(564\) 413.090 297.861i 0.732429 0.528123i
\(565\) 179.190 + 169.738i 0.317150 + 0.300421i
\(566\) 308.196 16.7099i 0.544516 0.0295228i
\(567\) −65.8506 + 78.6770i −0.116139 + 0.138760i
\(568\) 105.268 155.259i 0.185332 0.273344i
\(569\) −60.9614 + 560.531i −0.107138 + 0.985116i 0.809968 + 0.586473i \(0.199484\pi\)
−0.917106 + 0.398643i \(0.869481\pi\)
\(570\) 119.675 + 276.819i 0.209957 + 0.485647i
\(571\) 429.672 94.5780i 0.752490 0.165636i 0.177868 0.984054i \(-0.443080\pi\)
0.574622 + 0.818419i \(0.305149\pi\)
\(572\) −50.9627 + 8.35491i −0.0890956 + 0.0146065i
\(573\) −765.112 487.094i −1.33527 0.850077i
\(574\) 10.5528 + 38.0078i 0.0183847 + 0.0662156i
\(575\) 36.6321 + 48.1887i 0.0637080 + 0.0838064i
\(576\) −71.0934 11.3900i −0.123426 0.0197744i
\(577\) 141.435 266.775i 0.245121 0.462348i −0.730171 0.683264i \(-0.760560\pi\)
0.975293 + 0.220916i \(0.0709046\pi\)
\(578\) 328.996 131.084i 0.569197 0.226789i
\(579\) −284.390 121.724i −0.491174 0.210231i
\(580\) 39.8819 46.9526i 0.0687619 0.0809527i
\(581\) 84.8171 44.9672i 0.145985 0.0773962i
\(582\) −287.956 577.970i −0.494770 0.993075i
\(583\) −13.9569 + 6.45715i −0.0239398 + 0.0110757i
\(584\) 251.402 213.543i 0.430483 0.365656i
\(585\) 416.377 + 314.141i 0.711756 + 0.536993i
\(586\) 471.075 + 358.102i 0.803882 + 0.611095i
\(587\) −187.539 + 311.692i −0.319487 + 0.530992i −0.974431 0.224685i \(-0.927865\pi\)
0.654944 + 0.755677i \(0.272692\pi\)
\(588\) −125.887 + 254.992i −0.214094 + 0.433659i
\(589\) 82.3743 0.139854
\(590\) −616.753 173.540i −1.04534 0.294135i
\(591\) −572.493 76.9414i −0.968685 0.130188i
\(592\) 68.8002 + 23.1815i 0.116216 + 0.0391579i
\(593\) 53.6771 89.2120i 0.0905179 0.150442i −0.808290 0.588784i \(-0.799607\pi\)
0.898808 + 0.438342i \(0.144434\pi\)
\(594\) −113.367 + 64.9131i −0.190854 + 0.109281i
\(595\) 83.6126 209.852i 0.140525 0.352692i
\(596\) −364.055 + 309.231i −0.610831 + 0.518844i
\(597\) −112.637 364.477i −0.188671 0.610514i
\(598\) 10.6757 + 15.7454i 0.0178523 + 0.0263301i
\(599\) 695.712 368.843i 1.16146 0.615765i 0.227720 0.973727i \(-0.426873\pi\)
0.933736 + 0.357962i \(0.116528\pi\)
\(600\) −214.161 + 192.836i −0.356935 + 0.321393i
\(601\) 193.605 697.301i 0.322138 1.16024i −0.608276 0.793725i \(-0.708139\pi\)
0.930414 0.366510i \(-0.119447\pi\)
\(602\) −21.8439 + 8.70340i −0.0362855 + 0.0144575i
\(603\) 172.023 182.929i 0.285278 0.303365i
\(604\) 401.228 43.6362i 0.664285 0.0722454i
\(605\) 507.891 + 668.119i 0.839489 + 1.10433i
\(606\) −249.239 + 34.4195i −0.411285 + 0.0567978i
\(607\) −28.0670 12.9852i −0.0462389 0.0213924i 0.396633 0.917977i \(-0.370178\pi\)
−0.442872 + 0.896585i \(0.646040\pi\)
\(608\) −51.6765 + 8.47194i −0.0849943 + 0.0139341i
\(609\) 15.1904 1.26470i 0.0249431 0.00207668i
\(610\) 906.646 545.511i 1.48630 0.894280i
\(611\) 69.2632 636.864i 0.113360 1.04233i
\(612\) −271.801 317.642i −0.444119 0.519023i
\(613\) 88.5245 539.976i 0.144412 0.880874i −0.810881 0.585212i \(-0.801011\pi\)
0.955293 0.295662i \(-0.0955403\pi\)
\(614\) −248.637 + 13.4807i −0.404947 + 0.0219556i
\(615\) 394.795 318.528i 0.641944 0.517932i
\(616\) 8.89854 8.42915i 0.0144457 0.0136837i
\(617\) 83.9810 + 4.55332i 0.136112 + 0.00737977i 0.122069 0.992522i \(-0.461047\pi\)
0.0140429 + 0.999901i \(0.495530\pi\)
\(618\) 199.171 + 72.7613i 0.322283 + 0.117737i
\(619\) 310.343 104.567i 0.501361 0.168928i −0.0572468 0.998360i \(-0.518232\pi\)
0.558608 + 0.829432i \(0.311336\pi\)
\(620\) 43.6350 + 129.504i 0.0703790 + 0.208877i
\(621\) 39.2362 + 27.8604i 0.0631823 + 0.0448638i
\(622\) −7.65298 + 141.151i −0.0123038 + 0.226931i
\(623\) −63.1633 66.6807i −0.101386 0.107032i
\(624\) −70.4871 + 56.8703i −0.112960 + 0.0911382i
\(625\) −17.3565 320.121i −0.0277704 0.512194i
\(626\) 157.737 + 25.8596i 0.251976 + 0.0413093i
\(627\) −63.3201 + 70.8385i −0.100989 + 0.112980i
\(628\) −263.416 28.6483i −0.419453 0.0456182i
\(629\) 217.329 + 361.204i 0.345515 + 0.574251i
\(630\) −123.637 6.25289i −0.196248 0.00992522i
\(631\) −43.2358 263.726i −0.0685194 0.417950i −0.998706 0.0508621i \(-0.983803\pi\)
0.930186 0.367088i \(-0.119645\pi\)
\(632\) −2.95312 + 6.38306i −0.00467265 + 0.0100998i
\(633\) 652.935 90.1692i 1.03149 0.142447i
\(634\) 456.927 347.347i 0.720706 0.547866i
\(635\) 99.4544 + 914.469i 0.156621 + 1.44011i
\(636\) −15.6940 + 21.9328i −0.0246761 + 0.0344856i
\(637\) 132.403 + 332.307i 0.207854 + 0.521675i
\(638\) 18.7011 + 5.19234i 0.0293121 + 0.00813846i
\(639\) −336.755 492.812i −0.527003 0.771223i
\(640\) −40.6930 76.7551i −0.0635828 0.119930i
\(641\) −468.021 + 317.326i −0.730143 + 0.495049i −0.868721 0.495302i \(-0.835057\pi\)
0.138578 + 0.990352i \(0.455747\pi\)
\(642\) 78.0033 + 252.408i 0.121500 + 0.393159i
\(643\) −35.1922 41.4314i −0.0547312 0.0644346i 0.734115 0.679025i \(-0.237597\pi\)
−0.788846 + 0.614590i \(0.789321\pi\)
\(644\) −4.19435 1.67118i −0.00651297 0.00259500i
\(645\) 214.210 + 213.433i 0.332108 + 0.330904i
\(646\) −260.534 156.758i −0.403304 0.242660i
\(647\) −126.357 + 375.015i −0.195297 + 0.579621i −0.999899 0.0141934i \(-0.995482\pi\)
0.804602 + 0.593814i \(0.202379\pi\)
\(648\) −116.685 + 197.161i −0.180069 + 0.304261i
\(649\) −31.9674 199.307i −0.0492564 0.307098i
\(650\) 362.507i 0.557703i
\(651\) −14.9687 + 30.3198i −0.0229933 + 0.0465742i
\(652\) 167.159 + 100.576i 0.256379 + 0.154258i
\(653\) −47.4876 + 62.4688i −0.0727222 + 0.0956644i −0.831016 0.556249i \(-0.812240\pi\)
0.758294 + 0.651913i \(0.226033\pi\)
\(654\) −164.143 + 291.561i −0.250984 + 0.445813i
\(655\) 1209.81 + 1424.29i 1.84703 + 2.17449i
\(656\) 36.9848 + 79.9414i 0.0563793 + 0.121862i
\(657\) −338.748 993.423i −0.515598 1.51206i
\(658\) 71.2194 + 134.334i 0.108236 + 0.204155i
\(659\) −255.172 216.745i −0.387210 0.328899i 0.432546 0.901612i \(-0.357615\pi\)
−0.819756 + 0.572712i \(0.805891\pi\)
\(660\) −144.910 62.0239i −0.219560 0.0939756i
\(661\) 394.930 + 991.200i 0.597474 + 1.49955i 0.847224 + 0.531236i \(0.178272\pi\)
−0.249751 + 0.968310i \(0.580349\pi\)
\(662\) 447.825 + 237.422i 0.676473 + 0.358643i
\(663\) −525.706 13.2852i −0.792920 0.0200381i
\(664\) 170.658 129.731i 0.257014 0.195377i
\(665\) −86.7552 + 24.0875i −0.130459 + 0.0362218i
\(666\) 148.914 176.612i 0.223595 0.265183i
\(667\) −1.15664 7.05520i −0.00173409 0.0105775i
\(668\) −41.0410 186.451i −0.0614386 0.279118i
\(669\) 321.586 + 743.856i 0.480697 + 1.11189i
\(670\) 301.209 + 32.7584i 0.449566 + 0.0488932i
\(671\) 275.916 + 187.076i 0.411202 + 0.278802i
\(672\) 6.27211 20.5602i 0.00933350 0.0305956i
\(673\) 0.553065 + 10.2007i 0.000821790 + 0.0151570i 0.998916 0.0465588i \(-0.0148255\pi\)
−0.998094 + 0.0617159i \(0.980343\pi\)
\(674\) −288.533 + 304.601i −0.428091 + 0.451930i
\(675\) 320.911 + 859.014i 0.475423 + 1.27261i
\(676\) 12.1311 223.746i 0.0179455 0.330985i
\(677\) −217.478 + 988.011i −0.321237 + 1.45940i 0.488479 + 0.872576i \(0.337552\pi\)
−0.809717 + 0.586821i \(0.800379\pi\)
\(678\) 25.9420 + 133.882i 0.0382625 + 0.197466i
\(679\) 182.692 61.5560i 0.269060 0.0906569i
\(680\) 108.437 492.634i 0.159466 0.724462i
\(681\) 3.11257 16.3819i 0.00457058 0.0240557i
\(682\) −31.2571 + 29.6083i −0.0458315 + 0.0434139i
\(683\) −113.257 + 119.564i −0.165823 + 0.175057i −0.803611 0.595155i \(-0.797091\pi\)
0.637788 + 0.770212i \(0.279849\pi\)
\(684\) −35.2287 + 162.862i −0.0515040 + 0.238103i
\(685\) 270.250 1648.45i 0.394526 2.40650i
\(686\) −142.920 96.9023i −0.208339 0.141257i
\(687\) 16.5585 67.1036i 0.0241026 0.0976763i
\(688\) −44.9909 + 27.0701i −0.0653937 + 0.0393461i
\(689\) 7.29282 + 33.1316i 0.0105846 + 0.0480865i
\(690\) 1.67777 + 58.0391i 0.00243155 + 0.0841146i
\(691\) 724.049 + 334.981i 1.04783 + 0.484777i 0.866776 0.498697i \(-0.166188\pi\)
0.181051 + 0.983474i \(0.442050\pi\)
\(692\) −84.9237 + 23.5790i −0.122722 + 0.0340736i
\(693\) −14.5675 36.1789i −0.0210210 0.0522062i
\(694\) 26.4371 2.87520i 0.0380937 0.00414294i
\(695\) −1010.86 535.926i −1.45448 0.771116i
\(696\) 33.0165 8.27456i 0.0474375 0.0118887i
\(697\) −136.824 + 492.796i −0.196304 + 0.707024i
\(698\) −143.008 121.472i −0.204883 0.174029i
\(699\) 238.913 + 646.681i 0.341793 + 0.925151i
\(700\) −48.2834 71.2126i −0.0689762 0.101732i
\(701\) 380.948 + 823.405i 0.543435 + 1.17461i 0.963644 + 0.267188i \(0.0860944\pi\)
−0.420210 + 0.907427i \(0.638044\pi\)
\(702\) 86.0898 + 275.028i 0.122635 + 0.391778i
\(703\) 62.1901 156.085i 0.0884639 0.222028i
\(704\) 16.5636 21.7891i 0.0235279 0.0309504i
\(705\) 1222.25 1526.22i 1.73369 2.16485i
\(706\) 647.393 + 218.132i 0.916988 + 0.308969i
\(707\) 75.1167i 0.106247i
\(708\) −221.332 276.276i −0.312615 0.390220i
\(709\) −408.533 −0.576210 −0.288105 0.957599i \(-0.593025\pi\)
−0.288105 + 0.957599i \(0.593025\pi\)
\(710\) 229.959 682.495i 0.323886 0.961261i
\(711\) 15.4491 + 16.1911i 0.0217286 + 0.0227723i
\(712\) −163.275 124.119i −0.229319 0.174324i
\(713\) 14.7331 + 5.87021i 0.0206636 + 0.00823312i
\(714\) 105.042 67.4104i 0.147117 0.0944124i
\(715\) −179.951 + 83.2541i −0.251680 + 0.116439i
\(716\) −508.275 + 344.619i −0.709882 + 0.481312i
\(717\) −290.758 787.014i −0.405521 1.09765i
\(718\) −461.966 + 543.868i −0.643407 + 0.757477i
\(719\) −755.397 209.735i −1.05062 0.291704i −0.301037 0.953612i \(-0.597333\pi\)
−0.749584 + 0.661909i \(0.769747\pi\)
\(720\) −274.704 + 30.8862i −0.381533 + 0.0428975i
\(721\) −29.6532 + 55.9319i −0.0411279 + 0.0775754i
\(722\) −42.0951 387.058i −0.0583034 0.536091i
\(723\) −229.450 404.120i −0.317358 0.558949i
\(724\) −10.7357 38.6665i −0.0148283 0.0534067i
\(725\) 57.2048 123.646i 0.0789032 0.170546i
\(726\) 13.3988 + 463.506i 0.0184557 + 0.638438i
\(727\) 197.966 43.5756i 0.272306 0.0599390i −0.0767184 0.997053i \(-0.524444\pi\)
0.349024 + 0.937114i \(0.386513\pi\)
\(728\) −13.9402 23.1688i −0.0191486 0.0318253i
\(729\) 447.472 + 575.508i 0.613816 + 0.789449i
\(730\) 710.705 1048.21i 0.973568 1.43591i
\(731\) −300.857 49.3231i −0.411570 0.0674734i
\(732\) 582.780 + 46.3885i 0.796147 + 0.0633723i
\(733\) 173.054 + 163.926i 0.236090 + 0.223637i 0.796593 0.604516i \(-0.206633\pi\)
−0.560503 + 0.828153i \(0.689392\pi\)
\(734\) 375.729 + 396.653i 0.511893 + 0.540399i
\(735\) −203.799 + 1072.63i −0.277278 + 1.45935i
\(736\) −9.84638 2.16735i −0.0133782 0.00294477i
\(737\) 30.4792 + 90.4589i 0.0413557 + 0.122739i
\(738\) 279.808 16.1907i 0.379144 0.0219386i
\(739\) −938.147 206.502i −1.26948 0.279434i −0.471366 0.881938i \(-0.656239\pi\)
−0.798116 + 0.602504i \(0.794170\pi\)
\(740\) 278.331 + 15.0907i 0.376124 + 0.0203928i
\(741\) 122.590 + 170.014i 0.165438 + 0.229438i
\(742\) −5.84553 5.53718i −0.00787808 0.00746251i
\(743\) −1162.56 + 63.0321i −1.56468 + 0.0848346i −0.815983 0.578076i \(-0.803804\pi\)
−0.748699 + 0.662910i \(0.769321\pi\)
\(744\) −22.0315 + 72.2201i −0.0296122 + 0.0970700i
\(745\) −1029.17 + 1517.91i −1.38144 + 2.03747i
\(746\) −34.3173 + 315.543i −0.0460018 + 0.422979i
\(747\) −184.873 656.587i −0.247487 0.878965i
\(748\) 155.205 34.1632i 0.207493 0.0456727i
\(749\) −77.8339 + 12.7602i −0.103917 + 0.0170363i
\(750\) −156.813 + 246.316i −0.209083 + 0.328421i
\(751\) −288.262 1038.22i −0.383837 1.38246i −0.863210 0.504845i \(-0.831550\pi\)
0.479373 0.877611i \(-0.340864\pi\)
\(752\) 205.468 + 270.289i 0.273229 + 0.359427i
\(753\) 50.6139 + 1.27908i 0.0672164 + 0.00169864i
\(754\) 20.0553 37.8282i 0.0265985 0.0501701i
\(755\) 1439.49 573.546i 1.90661 0.759664i
\(756\) −53.5437 42.5613i −0.0708250 0.0562980i
\(757\) −655.028 + 771.159i −0.865295 + 1.01870i 0.134320 + 0.990938i \(0.457115\pi\)
−0.999614 + 0.0277654i \(0.991161\pi\)
\(758\) 832.702 441.471i 1.09855 0.582415i
\(759\) −16.3733 + 8.15751i −0.0215722 + 0.0107477i
\(760\) −182.471 + 84.4203i −0.240094 + 0.111079i
\(761\) −1018.36 + 865.007i −1.33819 + 1.13667i −0.359090 + 0.933303i \(0.616913\pi\)
−0.979102 + 0.203368i \(0.934811\pi\)
\(762\) −249.332 + 442.878i −0.327207 + 0.581205i
\(763\) −79.5236 60.4523i −0.104225 0.0792297i
\(764\) 311.740 518.115i 0.408036 0.678162i
\(765\) −1331.77 895.916i −1.74088 1.17113i
\(766\) 505.909 0.660456
\(767\) −444.556 25.6451i −0.579604 0.0334356i
\(768\) 6.39358 47.5723i 0.00832497 0.0619431i
\(769\) −1200.53 404.507i −1.56116 0.526017i −0.599529 0.800353i \(-0.704645\pi\)
−0.961634 + 0.274336i \(0.911542\pi\)
\(770\) 24.2615 40.3230i 0.0315085 0.0523675i
\(771\) −962.732 959.240i −1.24868 1.24415i
\(772\) 76.3336 191.583i 0.0988777 0.248164i
\(773\) 649.441 551.640i 0.840157 0.713636i −0.120098 0.992762i \(-0.538321\pi\)
0.960254 + 0.279126i \(0.0900449\pi\)
\(774\) 27.6288 + 164.775i 0.0356961 + 0.212888i
\(775\) 169.601 + 250.142i 0.218839 + 0.322764i
\(776\) 380.340 201.644i 0.490129 0.259850i
\(777\) 46.1500 + 51.2536i 0.0593951 + 0.0659635i
\(778\) −5.59198 + 20.1405i −0.00718763 + 0.0258875i
\(779\) 189.370 75.4519i 0.243094 0.0968574i
\(780\) −202.348 + 282.787i −0.259420 + 0.362548i
\(781\) 225.568 24.5320i 0.288820 0.0314110i
\(782\) −35.4271 46.6035i −0.0453032 0.0595953i
\(783\) 14.0363 107.394i 0.0179263 0.137157i
\(784\) −172.060 79.6036i −0.219465 0.101535i
\(785\) −1003.91 + 164.583i −1.27887 + 0.209660i
\(786\) 85.6676 + 1028.96i 0.108992 + 1.30911i
\(787\) −269.023 + 161.866i −0.341834 + 0.205674i −0.676110 0.736801i \(-0.736336\pi\)
0.334277 + 0.942475i \(0.391508\pi\)
\(788\) 41.6359 382.836i 0.0528375 0.485832i
\(789\) −824.194 + 922.055i −1.04461 + 1.16864i
\(790\) −4.36853 + 26.6469i −0.00552979 + 0.0337302i
\(791\) −40.6543 + 2.20421i −0.0513961 + 0.00278662i
\(792\) −45.1709 74.4609i −0.0570340 0.0940162i
\(793\) 533.893 505.731i 0.673258 0.637744i
\(794\) 855.608 + 46.3897i 1.07759 + 0.0584253i
\(795\) −35.5307 + 97.2588i −0.0446927 + 0.122338i
\(796\) 241.010 81.2058i 0.302777 0.102017i
\(797\) 432.449 + 1283.46i 0.542596 + 1.61037i 0.771023 + 0.636808i \(0.219745\pi\)
−0.228426 + 0.973561i \(0.573358\pi\)
\(798\) −46.7267 17.0702i −0.0585548 0.0213913i
\(799\) −106.728 + 1968.48i −0.133577 + 2.46368i
\(800\) −132.123 139.481i −0.165154 0.174351i
\(801\) −557.968 + 338.486i −0.696589 + 0.422579i
\(802\) −2.02562 37.3604i −0.00252572 0.0465841i
\(803\) 393.734 + 64.5495i 0.490329 + 0.0803854i
\(804\) 124.811 + 111.564i 0.155237 + 0.138762i
\(805\) −17.2332 1.87423i −0.0214077 0.00232823i
\(806\) 48.9665 + 81.3830i 0.0607525 + 0.100971i
\(807\) −724.052 + 60.2820i −0.897214 + 0.0746989i
\(808\) −27.1367 165.527i −0.0335850 0.204860i
\(809\) −144.270 + 311.834i −0.178331 + 0.385456i −0.976041 0.217585i \(-0.930182\pi\)
0.797711 + 0.603040i \(0.206044\pi\)
\(810\) −229.155 + 849.235i −0.282907 + 1.04844i
\(811\) 362.106 275.266i 0.446493 0.339415i −0.357645 0.933858i \(-0.616420\pi\)
0.804138 + 0.594442i \(0.202627\pi\)
\(812\) 1.09870 + 10.1024i 0.00135308 + 0.0124413i
\(813\) −518.668 371.132i −0.637968 0.456497i
\(814\) 32.5046 + 81.5803i 0.0399319 + 0.100222i
\(815\) 721.698 + 200.378i 0.885519 + 0.245863i
\(816\) 207.116 186.493i 0.253819 0.228545i
\(817\) 56.9191 + 107.361i 0.0696684 + 0.131409i
\(818\) −675.736 + 458.161i −0.826084 + 0.560099i
\(819\) −84.8540 + 14.2279i −0.103607 + 0.0173723i
\(820\) 218.933 + 257.748i 0.266992 + 0.314327i
\(821\) −1301.86 518.709i −1.58570 0.631802i −0.599956 0.800033i \(-0.704815\pi\)
−0.985748 + 0.168231i \(0.946195\pi\)
\(822\) 651.444 653.815i 0.792511 0.795396i
\(823\) 1354.21 + 814.801i 1.64546 + 0.990038i 0.966784 + 0.255596i \(0.0822715\pi\)
0.678671 + 0.734442i \(0.262556\pi\)
\(824\) −45.1376 + 133.964i −0.0547787 + 0.162577i
\(825\) −345.482 46.4318i −0.418766 0.0562809i
\(826\) 90.7465 54.1739i 0.109863 0.0655858i
\(827\) 245.830i 0.297255i 0.988893 + 0.148627i \(0.0474855\pi\)
−0.988893 + 0.148627i \(0.952515\pi\)
\(828\) −17.9069 + 26.6184i −0.0216266 + 0.0321478i
\(829\) −593.942 357.363i −0.716456 0.431077i 0.110108 0.993920i \(-0.464880\pi\)
−0.826564 + 0.562842i \(0.809708\pi\)
\(830\) 498.083 655.217i 0.600100 0.789418i
\(831\) −886.991 499.358i −1.06738 0.600913i
\(832\) −39.0886 46.0186i −0.0469814 0.0553108i
\(833\) −462.207 999.045i −0.554871 1.19933i
\(834\) −281.904 565.823i −0.338015 0.678444i
\(835\) −343.339 647.606i −0.411185 0.775577i
\(836\) −48.2770 41.0069i −0.0577476 0.0490513i
\(837\) 188.078 + 149.501i 0.224705 + 0.178615i
\(838\) −43.7170 109.721i −0.0521683 0.130932i
\(839\) 15.7877 + 8.37012i 0.0188173 + 0.00997631i 0.477791 0.878474i \(-0.341438\pi\)
−0.458973 + 0.888450i \(0.651783\pi\)
\(840\) 2.08496 82.5033i 0.00248210 0.0982183i
\(841\) 656.704 499.214i 0.780861 0.593595i
\(842\) −128.847 + 35.7741i −0.153024 + 0.0424870i
\(843\) −1027.41 654.084i −1.21876 0.775900i
\(844\) 71.0904 + 433.632i 0.0842304 + 0.513782i
\(845\) −184.940 840.190i −0.218864 0.994307i
\(846\) 1039.91 292.803i 1.22920 0.346103i
\(847\) −137.626 14.9678i −0.162487 0.0176715i
\(848\) −14.8815 10.0899i −0.0175490 0.0118985i
\(849\) 626.251 + 191.044i 0.737633 + 0.225023i
\(850\) −60.3940 1113.90i −0.0710518 1.31047i
\(851\) 22.2461 23.4850i 0.0261412 0.0275969i
\(852\) 322.765 232.732i 0.378832 0.273159i
\(853\) −73.2298 + 1350.65i −0.0858498 + 1.58341i 0.565578 + 0.824695i \(0.308653\pi\)
−0.651428 + 0.758711i \(0.725830\pi\)
\(854\) −37.5208 + 170.459i −0.0439354 + 0.199601i
\(855\) 36.9563 + 638.681i 0.0432238 + 0.746995i
\(856\) −166.904 + 56.2367i −0.194982 + 0.0656970i
\(857\) 78.6480 357.302i 0.0917713 0.416921i −0.908227 0.418477i \(-0.862564\pi\)
0.999999 + 0.00155554i \(0.000495144\pi\)
\(858\) −107.626 20.4489i −0.125438 0.0238333i
\(859\) −268.671 + 254.498i −0.312772 + 0.296273i −0.827941 0.560816i \(-0.810488\pi\)
0.515169 + 0.857088i \(0.327729\pi\)
\(860\) −138.635 + 146.356i −0.161204 + 0.170181i
\(861\) −6.63955 + 83.4128i −0.00771145 + 0.0968790i
\(862\) −48.6479 + 296.739i −0.0564361 + 0.344245i
\(863\) 17.3909 + 11.7913i 0.0201517 + 0.0136632i 0.571221 0.820796i \(-0.306470\pi\)
−0.551070 + 0.834459i \(0.685780\pi\)
\(864\) −133.364 74.4445i −0.154357 0.0861627i
\(865\) −289.950 + 174.457i −0.335202 + 0.201684i
\(866\) −71.4524 324.611i −0.0825085 0.374840i
\(867\) 750.950 21.7081i 0.866147 0.0250382i
\(868\) −20.4588 9.46527i −0.0235701 0.0109047i
\(869\) −8.19711 + 2.27592i −0.00943281 + 0.00261901i
\(870\) 113.643 64.5236i 0.130624 0.0741651i
\(871\) 209.343 22.7675i 0.240348 0.0261395i
\(872\) −197.077 104.483i −0.226005 0.119821i
\(873\) −153.049 1361.22i −0.175314 1.55925i
\(874\) −6.24221 + 22.4824i −0.00714211 + 0.0257236i
\(875\) −66.4420 56.4363i −0.0759337 0.0644987i
\(876\) 656.365 242.491i 0.749275 0.276816i
\(877\) 560.560 + 826.765i 0.639179 + 0.942719i 0.999949 + 0.0100643i \(0.00320361\pi\)
−0.360770 + 0.932655i \(0.617486\pi\)
\(878\) −170.125 367.719i −0.193764 0.418814i
\(879\) 677.961 + 1056.43i 0.771287 + 1.20185i
\(880\) 38.8955 97.6203i 0.0441994 0.110932i
\(881\) 665.957 876.052i 0.755911 0.994384i −0.243788 0.969829i \(-0.578390\pi\)
0.999698 0.0245550i \(-0.00781687\pi\)
\(882\) −436.445 + 416.442i −0.494835 + 0.472156i
\(883\) −298.815 100.683i −0.338409 0.114023i 0.144966 0.989437i \(-0.453693\pi\)
−0.483375 + 0.875413i \(0.660589\pi\)
\(884\) 350.582i 0.396586i
\(885\) −1102.57 794.723i −1.24584 0.897992i
\(886\) 1007.49 1.13712
\(887\) 274.295 814.080i 0.309239 0.917790i −0.674513 0.738263i \(-0.735647\pi\)
0.983753 0.179527i \(-0.0574569\pi\)
\(888\) 120.212 + 96.2700i 0.135374 + 0.108412i
\(889\) −120.795 91.8263i −0.135878 0.103292i
\(890\) −731.512 291.461i −0.821923 0.327484i
\(891\) −273.138 + 46.8195i −0.306552 + 0.0525472i
\(892\) −490.329 + 226.850i −0.549696 + 0.254317i
\(893\) 650.353 440.950i 0.728278 0.493785i
\(894\) −950.481 + 351.151i −1.06318 + 0.392786i
\(895\) −1526.35 + 1796.96i −1.70542 + 2.00778i
\(896\) 13.8081 + 3.83380i 0.0154108 + 0.00427879i
\(897\) 9.81023 + 39.1440i 0.0109367 + 0.0436388i
\(898\) 109.906 207.305i 0.122390 0.230852i
\(899\) −3.85930 35.4857i −0.00429288 0.0394724i
\(900\) −567.088 + 228.340i −0.630098 + 0.253711i
\(901\) −27.9289 100.591i −0.0309977 0.111644i
\(902\) −44.7367 + 96.6968i −0.0495972 + 0.107203i
\(903\) −49.8597 + 1.44132i −0.0552157 + 0.00159615i
\(904\) −88.7893 + 19.5440i −0.0982182 + 0.0216195i
\(905\) −79.4317 132.017i −0.0877699 0.145875i
\(906\) 831.220 + 205.112i 0.917461 + 0.226393i
\(907\) 854.830 1260.78i 0.942480 1.39005i 0.0217889 0.999763i \(-0.493064\pi\)
0.920691 0.390292i \(-0.127626\pi\)
\(908\) 10.9702 + 1.79848i 0.0120817 + 0.00198070i
\(909\) −521.669 112.842i −0.573893 0.124139i
\(910\) −75.3683 71.3927i −0.0828224 0.0784535i
\(911\) 7.63629 + 8.06154i 0.00838232 + 0.00884911i 0.730173 0.683262i \(-0.239439\pi\)
−0.721791 + 0.692111i \(0.756681\pi\)
\(912\) −109.133 20.7354i −0.119664 0.0227361i
\(913\) 253.238 + 55.7418i 0.277369 + 0.0610535i
\(914\) −314.993 934.867i −0.344632 1.02283i
\(915\) 2203.60 426.985i 2.40830 0.466651i
\(916\) 45.0003 + 9.90532i 0.0491270 + 0.0108137i
\(917\) −307.807 16.6888i −0.335668 0.0181994i
\(918\) −310.354 830.756i −0.338077 0.904963i
\(919\) 436.170 + 413.162i 0.474613 + 0.449578i 0.887230 0.461327i \(-0.152626\pi\)
−0.412617 + 0.910905i \(0.635385\pi\)
\(920\) −38.6521 + 2.09566i −0.0420132 + 0.00227789i
\(921\) −505.228 154.125i −0.548565 0.167345i
\(922\) 240.639 354.916i 0.260997 0.384941i
\(923\) 54.1182 497.609i 0.0586330 0.539121i
\(924\) 23.8662 10.3179i 0.0258292 0.0111666i
\(925\) 602.021 132.515i 0.650833 0.143259i
\(926\) −478.999 + 78.5279i −0.517278 + 0.0848034i
\(927\) 343.889 + 289.957i 0.370970 + 0.312791i
\(928\) 6.07068 + 21.8646i 0.00654168 + 0.0235610i
\(929\) −813.692 1070.39i −0.875880 1.15220i −0.987369 0.158435i \(-0.949355\pi\)
0.111490 0.993766i \(-0.464438\pi\)
\(930\) −7.32365 + 289.802i −0.00787489 + 0.311615i
\(931\) −205.514 + 387.640i −0.220745 + 0.416369i
\(932\) −426.959 + 170.116i −0.458110 + 0.182528i
\(933\) −117.994 + 275.676i −0.126467 + 0.295472i
\(934\) −456.332 + 537.235i −0.488578 + 0.575198i
\(935\) 539.078 285.801i 0.576554 0.305670i
\(936\) −181.844 + 62.0069i −0.194277 + 0.0662467i
\(937\) −196.768 + 91.0347i −0.209998 + 0.0971555i −0.522069 0.852903i \(-0.674840\pi\)
0.312071 + 0.950059i \(0.398977\pi\)
\(938\) −38.0919 + 32.3556i −0.0406098 + 0.0344942i
\(939\) 295.471 + 166.344i 0.314665 + 0.177150i
\(940\) 1037.74 + 788.868i 1.10398 + 0.839221i
\(941\) 57.1711 95.0190i 0.0607556 0.100977i −0.824991 0.565146i \(-0.808820\pi\)
0.885746 + 0.464170i \(0.153647\pi\)
\(942\) −504.010 248.826i −0.535042 0.264146i
\(943\) 39.2468 0.0416191
\(944\) 180.397 152.160i 0.191099 0.161187i
\(945\) −241.797 102.455i −0.255870 0.108418i
\(946\) −60.1874 20.2795i −0.0636231 0.0214371i
\(947\) −40.9388 + 68.0409i −0.0432300 + 0.0718489i −0.877719 0.479176i \(-0.840936\pi\)
0.834489 + 0.551025i \(0.185763\pi\)
\(948\) −10.5304 + 10.5688i −0.0111081 + 0.0111485i
\(949\) 325.789 817.670i 0.343298 0.861612i
\(950\) −338.880 + 287.847i −0.356715 + 0.302997i
\(951\) 1163.28 359.495i 1.22321 0.378018i
\(952\) 46.6951 + 68.8701i 0.0490494 + 0.0723425i
\(953\) −17.3197 + 9.18230i −0.0181738 + 0.00963515i −0.477471 0.878648i \(-0.658446\pi\)
0.459297 + 0.888283i \(0.348101\pi\)
\(954\) −47.2358 + 32.2778i −0.0495134 + 0.0338342i
\(955\) 621.080 2236.93i 0.650345 2.34233i
\(956\) 519.611 207.032i 0.543526 0.216561i
\(957\) 33.4828 + 23.9586i 0.0349873 + 0.0250351i
\(958\) 1233.76 134.180i 1.28785 0.140062i
\(959\) 166.756 + 219.363i 0.173885 + 0.228742i
\(960\) −25.2108 182.557i −0.0262613 0.190164i
\(961\) −800.316 370.266i −0.832795 0.385292i
\(962\) 191.175 31.3416i 0.198727 0.0325796i
\(963\) −28.3071 + 559.708i −0.0293947 + 0.581213i
\(964\) 265.463 159.724i 0.275377 0.165689i
\(965\) 85.6078 787.151i 0.0887128 0.815700i
\(966\) −7.14087 6.38298i −0.00739221 0.00660764i
\(967\) −176.400 + 1075.99i −0.182420 + 1.11271i 0.723832 + 0.689976i \(0.242379\pi\)
−0.906252 + 0.422737i \(0.861069\pi\)
\(968\) −308.680 + 16.7361i −0.318884 + 0.0172894i
\(969\) −405.014 501.990i −0.417972 0.518050i
\(970\) 1199.92 1136.63i 1.23703 1.17178i
\(971\) −983.283 53.3121i −1.01265 0.0549043i −0.459662 0.888094i \(-0.652030\pi\)
−0.552988 + 0.833189i \(0.686512\pi\)
\(972\) −376.013 + 307.912i −0.386845 + 0.316782i
\(973\) 178.852 60.2623i 0.183815 0.0619345i
\(974\) 369.233 + 1095.85i 0.379090 + 1.12510i
\(975\) −263.873 + 722.304i −0.270639 + 0.740824i
\(976\) −21.1006 + 389.177i −0.0216194 + 0.398747i
\(977\) −1002.49 1058.32i −1.02609 1.08323i −0.996493 0.0836704i \(-0.973336\pi\)
−0.0295987 0.999562i \(-0.509423\pi\)
\(978\) 259.858 + 322.077i 0.265703 + 0.329322i
\(979\) −13.4310 247.719i −0.0137191 0.253033i
\(980\) −718.288 117.757i −0.732947 0.120161i
\(981\) −539.290 + 461.461i −0.549735 + 0.470399i
\(982\) −1260.02 137.035i −1.28311 0.139547i
\(983\) 184.936 + 307.365i 0.188134 + 0.312681i 0.936541 0.350559i \(-0.114008\pi\)
−0.748407 + 0.663240i \(0.769181\pi\)
\(984\) 15.5029 + 186.207i 0.0157550 + 0.189234i
\(985\) −239.197 1459.04i −0.242840 1.48126i
\(986\) −55.3230 + 119.579i −0.0561086 + 0.121277i
\(987\) 44.1231 + 319.505i 0.0447042 + 0.323713i
\(988\) −111.242 + 84.5637i −0.112593 + 0.0855908i
\(989\) 2.52949 + 23.2583i 0.00255763 + 0.0235170i
\(990\) −243.588 229.065i −0.246049 0.231379i
\(991\) −312.076 783.252i −0.314910 0.790366i −0.998186 0.0602050i \(-0.980825\pi\)
0.683276 0.730161i \(-0.260555\pi\)
\(992\) −48.5024 13.4666i −0.0488936 0.0135752i
\(993\) 719.479 + 799.045i 0.724551 + 0.804677i
\(994\) 55.6467 + 104.961i 0.0559826 + 0.105594i
\(995\) 808.189 547.966i 0.812250 0.550719i
\(996\) 434.471 134.268i 0.436216 0.134807i
\(997\) −992.757 1168.76i −0.995744 1.17228i −0.985038 0.172338i \(-0.944868\pi\)
−0.0107063 0.999943i \(-0.503408\pi\)
\(998\) 893.668 + 356.070i 0.895459 + 0.356784i
\(999\) 425.273 243.507i 0.425699 0.243751i
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.h.a.5.5 1120
3.2 odd 2 inner 354.3.h.a.5.32 yes 1120
59.12 even 29 inner 354.3.h.a.71.32 yes 1120
177.71 odd 58 inner 354.3.h.a.71.5 yes 1120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
354.3.h.a.5.5 1120 1.1 even 1 trivial
354.3.h.a.5.32 yes 1120 3.2 odd 2 inner
354.3.h.a.71.5 yes 1120 177.71 odd 58 inner
354.3.h.a.71.32 yes 1120 59.12 even 29 inner