Properties

Label 525.2.bs.a.2.12
Level $525$
Weight $2$
Character 525.2
Analytic conductor $4.192$
Analytic rank $0$
Dimension $1216$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [525,2,Mod(2,525)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(525, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([30, 3, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("525.2");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 525.bs (of order \(60\), degree \(16\), 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: \(4.19214610612\)
Analytic rank: \(0\)
Dimension: \(1216\)
Relative dimension: \(76\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 525.2
Dual form 525.2.bs.a.263.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.61952 - 1.31146i) q^{2} +(0.852586 + 1.50768i) q^{3} +(0.487094 + 2.29160i) q^{4} +(0.657350 + 2.13726i) q^{5} +(0.596485 - 3.55986i) q^{6} +(-2.28662 - 1.33093i) q^{7} +(0.324313 - 0.636500i) q^{8} +(-1.54619 + 2.57085i) q^{9} +O(q^{10})\) \(q+(-1.61952 - 1.31146i) q^{2} +(0.852586 + 1.50768i) q^{3} +(0.487094 + 2.29160i) q^{4} +(0.657350 + 2.13726i) q^{5} +(0.596485 - 3.55986i) q^{6} +(-2.28662 - 1.33093i) q^{7} +(0.324313 - 0.636500i) q^{8} +(-1.54619 + 2.57085i) q^{9} +(1.73835 - 4.32344i) q^{10} +(0.595959 - 1.33855i) q^{11} +(-3.03971 + 2.68817i) q^{12} +(3.07438 - 0.486933i) q^{13} +(1.95776 + 5.15429i) q^{14} +(-2.66186 + 2.81327i) q^{15} +(2.92052 - 1.30030i) q^{16} +(0.347914 + 6.63859i) q^{17} +(5.87568 - 2.13578i) q^{18} +(1.00999 - 4.75162i) q^{19} +(-4.57756 + 2.54743i) q^{20} +(0.0570831 - 4.58222i) q^{21} +(-2.72062 + 1.38623i) q^{22} +(-3.59571 + 4.44034i) q^{23} +(1.23614 - 0.0537109i) q^{24} +(-4.13578 + 2.80986i) q^{25} +(-5.61762 - 3.24333i) q^{26} +(-5.19429 - 0.139294i) q^{27} +(1.93617 - 5.88830i) q^{28} +(-1.48098 + 4.55799i) q^{29} +(8.00045 - 1.06523i) q^{30} +(-6.54636 + 7.27047i) q^{31} +(-7.81518 - 2.09407i) q^{32} +(2.52620 - 0.242710i) q^{33} +(8.14281 - 11.2076i) q^{34} +(1.34145 - 5.76199i) q^{35} +(-6.64450 - 2.29101i) q^{36} +(-2.94038 - 1.12871i) q^{37} +(-7.86728 + 6.37080i) q^{38} +(3.35531 + 4.22002i) q^{39} +(1.57356 + 0.274739i) q^{40} +(1.73073 - 2.38215i) q^{41} +(-6.10186 + 7.34615i) q^{42} +(-7.78429 + 7.78429i) q^{43} +(3.35770 + 0.713700i) q^{44} +(-6.51098 - 1.61468i) q^{45} +(11.6467 - 2.47558i) q^{46} +(-4.83566 - 0.253426i) q^{47} +(4.45042 + 3.29459i) q^{48} +(3.45724 + 6.08667i) q^{49} +(10.3830 + 0.873298i) q^{50} +(-9.71224 + 6.18451i) q^{51} +(2.61337 + 6.80805i) q^{52} +(3.00004 + 1.94825i) q^{53} +(8.22959 + 7.03771i) q^{54} +(3.25258 + 0.393828i) q^{55} +(-1.58872 + 1.02379i) q^{56} +(8.02503 - 2.52843i) q^{57} +(8.37612 - 5.43952i) q^{58} +(1.05640 - 10.0509i) q^{59} +(-7.74347 - 4.72958i) q^{60} +(-0.0196500 - 0.186957i) q^{61} +(20.1369 - 3.18938i) q^{62} +(6.95719 - 3.82067i) q^{63} +(6.15238 + 8.46803i) q^{64} +(3.06165 + 6.25066i) q^{65} +(-4.40955 - 2.91995i) q^{66} +(3.92285 - 0.205588i) q^{67} +(-15.0435 + 4.03090i) q^{68} +(-9.76026 - 1.63542i) q^{69} +(-9.72914 + 7.57242i) q^{70} +(5.43153 + 1.76481i) q^{71} +(1.13490 + 1.81791i) q^{72} +(11.3119 - 4.34223i) q^{73} +(3.28176 + 5.68417i) q^{74} +(-7.76248 - 3.83979i) q^{75} +11.3808 q^{76} +(-3.14424 + 2.26756i) q^{77} +(0.100406 - 11.2348i) q^{78} +(7.29864 - 6.57173i) q^{79} +(4.69888 + 5.38716i) q^{80} +(-4.21856 - 7.95008i) q^{81} +(-5.92707 + 1.58815i) q^{82} +(-6.26904 + 12.3037i) q^{83} +(10.5284 - 2.10116i) q^{84} +(-13.9597 + 5.10746i) q^{85} +(22.8157 - 2.39802i) q^{86} +(-8.13465 + 1.65323i) q^{87} +(-0.658707 - 0.813436i) q^{88} +(0.398480 + 3.79129i) q^{89} +(8.42709 + 11.1539i) q^{90} +(-7.67800 - 2.97836i) q^{91} +(-11.9269 - 6.07707i) q^{92} +(-16.5429 - 3.67111i) q^{93} +(7.49911 + 6.75222i) q^{94} +(10.8194 - 0.964868i) q^{95} +(-3.50592 - 13.5682i) q^{96} +(5.63482 - 2.87108i) q^{97} +(2.38337 - 14.3915i) q^{98} +(2.51973 + 3.60177i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9} - 12 q^{10} - 64 q^{13} - 44 q^{15} - 140 q^{16} - 24 q^{18} - 20 q^{19} - 12 q^{21} + 8 q^{22} - 24 q^{25} - 80 q^{27} - 40 q^{28} - 50 q^{30} - 12 q^{31} - 6 q^{33} - 80 q^{34} + 8 q^{36} - 24 q^{37} - 50 q^{39} - 4 q^{40} - 34 q^{42} - 96 q^{43} + 30 q^{45} - 12 q^{46} - 44 q^{48} - 16 q^{51} - 136 q^{52} - 10 q^{54} - 40 q^{55} - 112 q^{57} - 76 q^{58} - 60 q^{60} - 12 q^{61} - 14 q^{63} - 80 q^{64} - 30 q^{66} - 32 q^{67} + 100 q^{69} - 100 q^{70} + 24 q^{72} - 72 q^{73} - 96 q^{75} - 64 q^{76} + 20 q^{78} - 20 q^{79} - 6 q^{81} - 204 q^{82} + 100 q^{84} - 56 q^{85} + 36 q^{87} - 140 q^{88} + 164 q^{90} - 24 q^{91} + 34 q^{93} - 20 q^{94} - 30 q^{96} - 240 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(176\) \(451\)
\(\chi(n)\) \(e\left(\frac{1}{20}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.61952 1.31146i −1.14518 0.927345i −0.147086 0.989124i \(-0.546989\pi\)
−0.998090 + 0.0617785i \(0.980323\pi\)
\(3\) 0.852586 + 1.50768i 0.492241 + 0.870459i
\(4\) 0.487094 + 2.29160i 0.243547 + 1.14580i
\(5\) 0.657350 + 2.13726i 0.293976 + 0.955813i
\(6\) 0.596485 3.55986i 0.243514 1.45331i
\(7\) −2.28662 1.33093i −0.864260 0.503045i
\(8\) 0.324313 0.636500i 0.114662 0.225037i
\(9\) −1.54619 + 2.57085i −0.515398 + 0.856951i
\(10\) 1.73835 4.32344i 0.549714 1.36719i
\(11\) 0.595959 1.33855i 0.179688 0.403587i −0.801136 0.598483i \(-0.795770\pi\)
0.980824 + 0.194896i \(0.0624371\pi\)
\(12\) −3.03971 + 2.68817i −0.877488 + 0.776007i
\(13\) 3.07438 0.486933i 0.852679 0.135051i 0.285229 0.958459i \(-0.407930\pi\)
0.567449 + 0.823408i \(0.307930\pi\)
\(14\) 1.95776 + 5.15429i 0.523233 + 1.37754i
\(15\) −2.66186 + 2.81327i −0.687289 + 0.726384i
\(16\) 2.92052 1.30030i 0.730129 0.325075i
\(17\) 0.347914 + 6.63859i 0.0843814 + 1.61009i 0.633089 + 0.774079i \(0.281787\pi\)
−0.548707 + 0.836015i \(0.684880\pi\)
\(18\) 5.87568 2.13578i 1.38491 0.503407i
\(19\) 1.00999 4.75162i 0.231707 1.09010i −0.696362 0.717690i \(-0.745199\pi\)
0.928070 0.372407i \(-0.121467\pi\)
\(20\) −4.57756 + 2.54743i −1.02357 + 0.569623i
\(21\) 0.0570831 4.58222i 0.0124565 0.999922i
\(22\) −2.72062 + 1.38623i −0.580039 + 0.295545i
\(23\) −3.59571 + 4.44034i −0.749758 + 0.925874i −0.999095 0.0425427i \(-0.986454\pi\)
0.249337 + 0.968417i \(0.419787\pi\)
\(24\) 1.23614 0.0537109i 0.252327 0.0109637i
\(25\) −4.13578 + 2.80986i −0.827156 + 0.561972i
\(26\) −5.61762 3.24333i −1.10171 0.636070i
\(27\) −5.19429 0.139294i −0.999641 0.0268072i
\(28\) 1.93617 5.88830i 0.365901 1.11278i
\(29\) −1.48098 + 4.55799i −0.275011 + 0.846398i 0.714205 + 0.699936i \(0.246788\pi\)
−0.989216 + 0.146461i \(0.953212\pi\)
\(30\) 8.00045 1.06523i 1.46068 0.194483i
\(31\) −6.54636 + 7.27047i −1.17576 + 1.30581i −0.232949 + 0.972489i \(0.574838\pi\)
−0.942812 + 0.333326i \(0.891829\pi\)
\(32\) −7.81518 2.09407i −1.38154 0.370183i
\(33\) 2.52620 0.242710i 0.439756 0.0422504i
\(34\) 8.14281 11.2076i 1.39648 1.92209i
\(35\) 1.34145 5.76199i 0.226746 0.973954i
\(36\) −6.64450 2.29101i −1.10742 0.381835i
\(37\) −2.94038 1.12871i −0.483395 0.185558i 0.104452 0.994530i \(-0.466691\pi\)
−0.587847 + 0.808972i \(0.700024\pi\)
\(38\) −7.86728 + 6.37080i −1.27624 + 1.03348i
\(39\) 3.35531 + 4.22002i 0.537279 + 0.675744i
\(40\) 1.57356 + 0.274739i 0.248801 + 0.0434400i
\(41\) 1.73073 2.38215i 0.270295 0.372030i −0.652194 0.758052i \(-0.726151\pi\)
0.922489 + 0.386022i \(0.126151\pi\)
\(42\) −6.10186 + 7.34615i −0.941538 + 1.13354i
\(43\) −7.78429 + 7.78429i −1.18709 + 1.18709i −0.209227 + 0.977867i \(0.567095\pi\)
−0.977867 + 0.209227i \(0.932905\pi\)
\(44\) 3.35770 + 0.713700i 0.506192 + 0.107594i
\(45\) −6.51098 1.61468i −0.970599 0.240702i
\(46\) 11.6467 2.47558i 1.71721 0.365004i
\(47\) −4.83566 0.253426i −0.705354 0.0369660i −0.303713 0.952764i \(-0.598226\pi\)
−0.401640 + 0.915797i \(0.631560\pi\)
\(48\) 4.45042 + 3.29459i 0.642363 + 0.475533i
\(49\) 3.45724 + 6.08667i 0.493891 + 0.869524i
\(50\) 10.3830 + 0.873298i 1.46838 + 0.123503i
\(51\) −9.71224 + 6.18451i −1.35999 + 0.866004i
\(52\) 2.61337 + 6.80805i 0.362409 + 0.944107i
\(53\) 3.00004 + 1.94825i 0.412087 + 0.267612i 0.733990 0.679160i \(-0.237656\pi\)
−0.321903 + 0.946773i \(0.604323\pi\)
\(54\) 8.22959 + 7.03771i 1.11990 + 0.957711i
\(55\) 3.25258 + 0.393828i 0.438577 + 0.0531037i
\(56\) −1.58872 + 1.02379i −0.212302 + 0.136810i
\(57\) 8.02503 2.52843i 1.06294 0.334898i
\(58\) 8.37612 5.43952i 1.09984 0.714244i
\(59\) 1.05640 10.0509i 0.137531 1.30852i −0.680245 0.732985i \(-0.738126\pi\)
0.817776 0.575537i \(-0.195207\pi\)
\(60\) −7.74347 4.72958i −0.999677 0.610587i
\(61\) −0.0196500 0.186957i −0.00251592 0.0239374i 0.993192 0.116490i \(-0.0371642\pi\)
−0.995708 + 0.0925522i \(0.970498\pi\)
\(62\) 20.1369 3.18938i 2.55739 0.405051i
\(63\) 6.95719 3.82067i 0.876523 0.481360i
\(64\) 6.15238 + 8.46803i 0.769048 + 1.05850i
\(65\) 3.06165 + 6.25066i 0.379750 + 0.775299i
\(66\) −4.40955 2.91995i −0.542778 0.359421i
\(67\) 3.92285 0.205588i 0.479252 0.0251166i 0.188819 0.982012i \(-0.439534\pi\)
0.290433 + 0.956895i \(0.406201\pi\)
\(68\) −15.0435 + 4.03090i −1.82429 + 0.488818i
\(69\) −9.76026 1.63542i −1.17500 0.196881i
\(70\) −9.72914 + 7.57242i −1.16286 + 0.905077i
\(71\) 5.43153 + 1.76481i 0.644604 + 0.209444i 0.613033 0.790057i \(-0.289949\pi\)
0.0315703 + 0.999502i \(0.489949\pi\)
\(72\) 1.13490 + 1.81791i 0.133749 + 0.214243i
\(73\) 11.3119 4.34223i 1.32396 0.508220i 0.409282 0.912408i \(-0.365779\pi\)
0.914676 + 0.404188i \(0.132446\pi\)
\(74\) 3.28176 + 5.68417i 0.381496 + 0.660771i
\(75\) −7.76248 3.83979i −0.896333 0.443381i
\(76\) 11.3808 1.30546
\(77\) −3.14424 + 2.26756i −0.358320 + 0.258412i
\(78\) 0.100406 11.2348i 0.0113687 1.27209i
\(79\) 7.29864 6.57173i 0.821161 0.739377i −0.147153 0.989114i \(-0.547011\pi\)
0.968314 + 0.249737i \(0.0803442\pi\)
\(80\) 4.69888 + 5.38716i 0.525351 + 0.602303i
\(81\) −4.21856 7.95008i −0.468729 0.883342i
\(82\) −5.92707 + 1.58815i −0.654535 + 0.175382i
\(83\) −6.26904 + 12.3037i −0.688116 + 1.35050i 0.237257 + 0.971447i \(0.423752\pi\)
−0.925373 + 0.379057i \(0.876248\pi\)
\(84\) 10.5284 2.10116i 1.14874 0.229256i
\(85\) −13.9597 + 5.10746i −1.51414 + 0.553982i
\(86\) 22.8157 2.39802i 2.46028 0.258586i
\(87\) −8.13465 + 1.65323i −0.872126 + 0.177245i
\(88\) −0.658707 0.813436i −0.0702184 0.0867125i
\(89\) 0.398480 + 3.79129i 0.0422388 + 0.401876i 0.995131 + 0.0985651i \(0.0314253\pi\)
−0.952892 + 0.303311i \(0.901908\pi\)
\(90\) 8.42709 + 11.1539i 0.888293 + 1.17573i
\(91\) −7.67800 2.97836i −0.804873 0.312217i
\(92\) −11.9269 6.07707i −1.24347 0.633578i
\(93\) −16.5429 3.67111i −1.71542 0.380677i
\(94\) 7.49911 + 6.75222i 0.773474 + 0.696439i
\(95\) 10.8194 0.964868i 1.11005 0.0989934i
\(96\) −3.50592 13.5682i −0.357822 1.38479i
\(97\) 5.63482 2.87108i 0.572129 0.291514i −0.143891 0.989593i \(-0.545962\pi\)
0.716021 + 0.698079i \(0.245962\pi\)
\(98\) 2.38337 14.3915i 0.240757 1.45377i
\(99\) 2.51973 + 3.60177i 0.253243 + 0.361992i
\(100\) −8.45358 8.10888i −0.845358 0.810888i
\(101\) 1.10202 0.636251i 0.109655 0.0633094i −0.444169 0.895943i \(-0.646501\pi\)
0.553824 + 0.832633i \(0.313168\pi\)
\(102\) 23.8400 + 2.72129i 2.36051 + 0.269448i
\(103\) −8.06927 0.422892i −0.795088 0.0416688i −0.349534 0.936924i \(-0.613660\pi\)
−0.445554 + 0.895255i \(0.646993\pi\)
\(104\) 0.687127 2.11476i 0.0673784 0.207369i
\(105\) 9.83093 2.89012i 0.959401 0.282047i
\(106\) −2.30357 7.08967i −0.223743 0.688610i
\(107\) −1.94207 7.24791i −0.187747 0.700682i −0.994026 0.109146i \(-0.965188\pi\)
0.806279 0.591536i \(-0.201478\pi\)
\(108\) −2.21090 11.9711i −0.212744 1.15192i
\(109\) 15.6737 + 1.64738i 1.50127 + 0.157790i 0.819206 0.573500i \(-0.194415\pi\)
0.682067 + 0.731290i \(0.261081\pi\)
\(110\) −4.75113 4.90345i −0.453003 0.467526i
\(111\) −0.805199 5.39547i −0.0764261 0.512115i
\(112\) −8.40872 0.913729i −0.794549 0.0863393i
\(113\) 0.491767 + 3.10489i 0.0462615 + 0.292084i 0.999962 0.00867310i \(-0.00276077\pi\)
−0.953701 + 0.300757i \(0.902761\pi\)
\(114\) −16.3127 6.42969i −1.52782 0.602196i
\(115\) −11.8538 4.76613i −1.10537 0.444444i
\(116\) −11.1665 1.17364i −1.03678 0.108970i
\(117\) −3.50175 + 8.65666i −0.323737 + 0.800309i
\(118\) −14.8923 + 14.8923i −1.37095 + 1.37095i
\(119\) 8.03997 15.6430i 0.737023 1.43399i
\(120\) 0.927373 + 2.60666i 0.0846572 + 0.237954i
\(121\) 5.92390 + 6.57916i 0.538536 + 0.598105i
\(122\) −0.213364 + 0.328552i −0.0193171 + 0.0297457i
\(123\) 5.06712 + 0.578404i 0.456887 + 0.0521530i
\(124\) −19.8497 11.4602i −1.78255 1.02916i
\(125\) −8.72406 6.99219i −0.780304 0.625401i
\(126\) −16.2780 2.93643i −1.45016 0.261598i
\(127\) 16.2476 + 2.57337i 1.44174 + 0.228350i 0.827811 0.561008i \(-0.189586\pi\)
0.613934 + 0.789358i \(0.289586\pi\)
\(128\) 0.294701 5.62323i 0.0260481 0.497028i
\(129\) −18.3730 5.09944i −1.61765 0.448981i
\(130\) 3.23911 14.1383i 0.284089 1.24001i
\(131\) 2.83740 13.3489i 0.247905 1.16630i −0.661355 0.750073i \(-0.730018\pi\)
0.909260 0.416229i \(-0.136649\pi\)
\(132\) 1.78669 + 5.67082i 0.155512 + 0.493582i
\(133\) −8.63355 + 9.52092i −0.748624 + 0.825568i
\(134\) −6.62277 4.81172i −0.572120 0.415670i
\(135\) −3.11675 11.1931i −0.268247 0.963350i
\(136\) 4.33830 + 1.93153i 0.372006 + 0.165628i
\(137\) −3.87204 4.78157i −0.330811 0.408517i 0.584418 0.811453i \(-0.301323\pi\)
−0.915228 + 0.402936i \(0.867990\pi\)
\(138\) 13.6622 + 15.4488i 1.16300 + 1.31509i
\(139\) 4.63862 + 6.38451i 0.393442 + 0.541527i 0.959083 0.283125i \(-0.0913711\pi\)
−0.565641 + 0.824652i \(0.691371\pi\)
\(140\) 13.8576 + 0.267422i 1.17118 + 0.0226013i
\(141\) −3.74073 7.50669i −0.315026 0.632178i
\(142\) −6.48200 9.98140i −0.543957 0.837621i
\(143\) 1.18042 4.40538i 0.0987116 0.368397i
\(144\) −1.17282 + 9.51873i −0.0977346 + 0.793228i
\(145\) −10.7151 0.169050i −0.889844 0.0140388i
\(146\) −24.0146 7.80281i −1.98746 0.645765i
\(147\) −6.22915 + 10.4018i −0.513772 + 0.857927i
\(148\) 1.15430 7.28795i 0.0948828 0.599066i
\(149\) 1.38768 2.40353i 0.113683 0.196905i −0.803570 0.595211i \(-0.797069\pi\)
0.917253 + 0.398306i \(0.130402\pi\)
\(150\) 7.53577 + 16.3988i 0.615293 + 1.33896i
\(151\) 2.64238 + 4.57673i 0.215033 + 0.372449i 0.953283 0.302079i \(-0.0976806\pi\)
−0.738249 + 0.674528i \(0.764347\pi\)
\(152\) −2.69686 2.18387i −0.218744 0.177135i
\(153\) −17.6048 9.37012i −1.42326 0.757529i
\(154\) 8.06600 + 0.451197i 0.649977 + 0.0363585i
\(155\) −19.8421 9.21205i −1.59376 0.739929i
\(156\) −8.03624 + 9.74457i −0.643414 + 0.780190i
\(157\) −1.81425 + 6.77087i −0.144793 + 0.540374i 0.854972 + 0.518675i \(0.173574\pi\)
−0.999765 + 0.0216996i \(0.993092\pi\)
\(158\) −20.4389 + 1.07116i −1.62603 + 0.0852167i
\(159\) −0.379543 + 6.18414i −0.0300997 + 0.490435i
\(160\) −0.661728 18.0796i −0.0523142 1.42932i
\(161\) 14.1318 5.36770i 1.11374 0.423034i
\(162\) −3.59418 + 18.4078i −0.282386 + 1.44626i
\(163\) 6.40371 16.6822i 0.501577 1.30665i −0.416097 0.909320i \(-0.636602\pi\)
0.917674 0.397333i \(-0.130064\pi\)
\(164\) 6.30196 + 2.80582i 0.492101 + 0.219097i
\(165\) 2.17933 + 5.23961i 0.169661 + 0.407903i
\(166\) 26.2887 11.7045i 2.04040 0.908443i
\(167\) 6.68672 + 3.40706i 0.517434 + 0.263646i 0.693148 0.720795i \(-0.256223\pi\)
−0.175714 + 0.984441i \(0.556223\pi\)
\(168\) −2.89807 1.52241i −0.223591 0.117456i
\(169\) −3.14905 + 1.02319i −0.242234 + 0.0787068i
\(170\) 29.3063 + 10.0360i 2.24769 + 0.769726i
\(171\) 10.6541 + 9.94347i 0.814738 + 0.760396i
\(172\) −21.6302 14.0468i −1.64928 1.07106i
\(173\) 2.84485 3.51310i 0.216290 0.267096i −0.657440 0.753507i \(-0.728361\pi\)
0.873730 + 0.486411i \(0.161694\pi\)
\(174\) 15.3424 + 7.99085i 1.16311 + 0.605785i
\(175\) 13.1967 0.920623i 0.997576 0.0695925i
\(176\) 4.68417i 0.353083i
\(177\) 16.0543 6.97659i 1.20671 0.524392i
\(178\) 4.32679 6.66267i 0.324307 0.499388i
\(179\) 3.92762 0.834842i 0.293564 0.0623990i −0.0587753 0.998271i \(-0.518720\pi\)
0.352340 + 0.935872i \(0.385386\pi\)
\(180\) 0.528727 15.7070i 0.0394090 1.17073i
\(181\) −2.09999 6.46311i −0.156091 0.480399i 0.842179 0.539198i \(-0.181273\pi\)
−0.998270 + 0.0587995i \(0.981273\pi\)
\(182\) 8.52869 + 14.8929i 0.632188 + 1.10394i
\(183\) 0.265118 0.189023i 0.0195981 0.0139730i
\(184\) 1.66014 + 3.72873i 0.122387 + 0.274886i
\(185\) 0.479483 7.02632i 0.0352523 0.516585i
\(186\) 21.9770 + 27.6408i 1.61143 + 2.02672i
\(187\) 9.09339 + 3.49063i 0.664975 + 0.255260i
\(188\) −1.77467 11.2048i −0.129431 0.817196i
\(189\) 11.6919 + 7.23176i 0.850464 + 0.526033i
\(190\) −18.7876 12.6266i −1.36300 0.916030i
\(191\) 4.06418 + 9.12830i 0.294074 + 0.660500i 0.998800 0.0489790i \(-0.0155968\pi\)
−0.704726 + 0.709480i \(0.748930\pi\)
\(192\) −7.52164 + 16.4955i −0.542827 + 1.19046i
\(193\) 0.819733 + 0.219647i 0.0590057 + 0.0158105i 0.288201 0.957570i \(-0.406943\pi\)
−0.229195 + 0.973380i \(0.573609\pi\)
\(194\) −12.8910 2.74008i −0.925523 0.196726i
\(195\) −6.81368 + 9.94521i −0.487938 + 0.712191i
\(196\) −12.2642 + 10.8874i −0.876014 + 0.777670i
\(197\) 5.89155 + 11.5628i 0.419756 + 0.823817i 0.999956 + 0.00934324i \(0.00297409\pi\)
−0.580201 + 0.814473i \(0.697026\pi\)
\(198\) 0.642830 9.13770i 0.0456839 0.649388i
\(199\) 4.44403 2.56576i 0.315029 0.181882i −0.334146 0.942521i \(-0.608448\pi\)
0.649175 + 0.760639i \(0.275114\pi\)
\(200\) 0.447188 + 3.54370i 0.0316209 + 0.250577i
\(201\) 3.65453 + 5.73912i 0.257770 + 0.404806i
\(202\) −2.61917 0.414835i −0.184284 0.0291877i
\(203\) 9.45282 8.45129i 0.663458 0.593164i
\(204\) −18.9032 19.2441i −1.32349 1.34736i
\(205\) 6.22898 + 2.13313i 0.435051 + 0.148984i
\(206\) 12.5138 + 11.2674i 0.871875 + 0.785040i
\(207\) −5.85577 16.1097i −0.407004 1.11970i
\(208\) 8.34561 5.41970i 0.578664 0.375789i
\(209\) −5.75835 4.18369i −0.398314 0.289392i
\(210\) −19.7117 8.21230i −1.36024 0.566702i
\(211\) −2.39107 + 1.73721i −0.164608 + 0.119595i −0.667040 0.745022i \(-0.732439\pi\)
0.502432 + 0.864617i \(0.332439\pi\)
\(212\) −3.00330 + 7.82386i −0.206267 + 0.537345i
\(213\) 1.97007 + 9.69365i 0.134987 + 0.664198i
\(214\) −6.36014 + 14.2851i −0.434770 + 0.976510i
\(215\) −21.7541 11.5201i −1.48362 0.785663i
\(216\) −1.77324 + 3.26099i −0.120653 + 0.221882i
\(217\) 24.6455 7.91201i 1.67305 0.537102i
\(218\) −23.2235 23.2235i −1.57290 1.57290i
\(219\) 16.1911 + 13.3526i 1.09409 + 0.902285i
\(220\) 0.681816 + 7.64543i 0.0459681 + 0.515455i
\(221\) 4.30217 + 20.2401i 0.289395 + 1.36150i
\(222\) −5.77192 + 9.79408i −0.387386 + 0.657335i
\(223\) −3.35033 + 21.1532i −0.224355 + 1.41652i 0.576223 + 0.817293i \(0.304526\pi\)
−0.800578 + 0.599229i \(0.795474\pi\)
\(224\) 15.0833 + 15.1898i 1.00779 + 1.01491i
\(225\) −0.829006 14.9771i −0.0552671 0.998472i
\(226\) 3.27553 5.67338i 0.217885 0.377388i
\(227\) 21.1582 8.12189i 1.40432 0.539069i 0.465986 0.884792i \(-0.345700\pi\)
0.938336 + 0.345724i \(0.112367\pi\)
\(228\) 9.70308 + 17.1586i 0.642602 + 1.13635i
\(229\) −7.44669 + 6.70503i −0.492091 + 0.443081i −0.877437 0.479691i \(-0.840749\pi\)
0.385346 + 0.922772i \(0.374082\pi\)
\(230\) 12.9469 + 23.2647i 0.853694 + 1.53403i
\(231\) −6.09949 2.80722i −0.401317 0.184702i
\(232\) 2.42086 + 2.42086i 0.158937 + 0.158937i
\(233\) 5.41454 + 8.33767i 0.354719 + 0.546219i 0.970316 0.241842i \(-0.0777517\pi\)
−0.615597 + 0.788061i \(0.711085\pi\)
\(234\) 17.0241 9.42724i 1.11290 0.616278i
\(235\) −2.63708 10.5017i −0.172024 0.685053i
\(236\) 23.5473 2.47492i 1.53280 0.161104i
\(237\) 16.1308 + 5.40105i 1.04781 + 0.350836i
\(238\) −33.5361 + 14.7900i −2.17382 + 0.958693i
\(239\) −16.0945 + 11.6933i −1.04107 + 0.756379i −0.970493 0.241128i \(-0.922483\pi\)
−0.0705729 + 0.997507i \(0.522483\pi\)
\(240\) −4.11591 + 11.6774i −0.265681 + 0.753774i
\(241\) −1.90273 + 18.1033i −0.122566 + 1.16613i 0.744389 + 0.667746i \(0.232741\pi\)
−0.866955 + 0.498387i \(0.833926\pi\)
\(242\) −0.965565 18.4241i −0.0620689 1.18434i
\(243\) 8.38948 13.1384i 0.538186 0.842826i
\(244\) 0.418859 0.136096i 0.0268147 0.00871263i
\(245\) −10.7362 + 11.3901i −0.685910 + 0.727686i
\(246\) −7.44776 7.58209i −0.474852 0.483416i
\(247\) 0.791362 15.1001i 0.0503531 0.960795i
\(248\) 2.50459 + 6.52467i 0.159041 + 0.414317i
\(249\) −23.8949 + 1.03824i −1.51428 + 0.0657959i
\(250\) 4.95881 + 22.7653i 0.313623 + 1.43980i
\(251\) 9.53087i 0.601583i −0.953690 0.300792i \(-0.902749\pi\)
0.953690 0.300792i \(-0.0972509\pi\)
\(252\) 12.1443 + 14.0821i 0.765016 + 0.887086i
\(253\) 3.80069 + 7.45928i 0.238948 + 0.468961i
\(254\) −22.9385 25.4758i −1.43929 1.59850i
\(255\) −19.6023 16.6922i −1.22754 1.04531i
\(256\) 6.15572 6.83662i 0.384732 0.427289i
\(257\) −4.86583 18.1595i −0.303522 1.13276i −0.934210 0.356724i \(-0.883894\pi\)
0.630688 0.776037i \(-0.282773\pi\)
\(258\) 23.0678 + 32.3542i 1.43614 + 2.01428i
\(259\) 5.22129 + 6.49437i 0.324435 + 0.403540i
\(260\) −12.8327 + 10.0607i −0.795850 + 0.623940i
\(261\) −9.42803 10.8549i −0.583581 0.671903i
\(262\) −22.1019 + 17.8978i −1.36546 + 1.10573i
\(263\) 3.62820 2.93806i 0.223724 0.181169i −0.510905 0.859637i \(-0.670689\pi\)
0.734629 + 0.678469i \(0.237356\pi\)
\(264\) 0.664796 1.68664i 0.0409154 0.103806i
\(265\) −2.19184 + 7.69255i −0.134644 + 0.472550i
\(266\) 26.4686 4.09676i 1.62289 0.251188i
\(267\) −5.37631 + 3.83318i −0.329025 + 0.234587i
\(268\) 2.38192 + 8.88946i 0.145499 + 0.543010i
\(269\) −17.8577 + 19.8330i −1.08880 + 1.20924i −0.112315 + 0.993673i \(0.535827\pi\)
−0.976489 + 0.215567i \(0.930840\pi\)
\(270\) −9.63171 + 22.2150i −0.586167 + 1.35196i
\(271\) 13.7192 + 15.2367i 0.833382 + 0.925564i 0.998152 0.0607676i \(-0.0193549\pi\)
−0.164770 + 0.986332i \(0.552688\pi\)
\(272\) 9.64823 + 18.9357i 0.585010 + 1.14815i
\(273\) −2.05574 14.1153i −0.124419 0.854295i
\(274\) 12.8219i 0.774599i
\(275\) 1.29637 + 7.21049i 0.0781739 + 0.434809i
\(276\) −1.00645 23.1632i −0.0605811 1.39426i
\(277\) −0.334428 0.871215i −0.0200938 0.0523462i 0.923167 0.384400i \(-0.125592\pi\)
−0.943260 + 0.332054i \(0.892258\pi\)
\(278\) 0.860705 16.4232i 0.0516217 0.985000i
\(279\) −8.56935 28.0713i −0.513034 1.68058i
\(280\) −3.23246 2.72252i −0.193176 0.162702i
\(281\) −18.5858 + 6.03889i −1.10874 + 0.360250i −0.805459 0.592652i \(-0.798081\pi\)
−0.303278 + 0.952902i \(0.598081\pi\)
\(282\) −3.78656 + 17.0631i −0.225486 + 1.01609i
\(283\) −0.484138 9.23789i −0.0287790 0.549136i −0.974532 0.224249i \(-0.928007\pi\)
0.945753 0.324887i \(-0.105326\pi\)
\(284\) −1.39857 + 13.3065i −0.0829899 + 0.789596i
\(285\) 10.6792 + 15.4895i 0.632579 + 0.917521i
\(286\) −7.68922 + 5.58655i −0.454673 + 0.330339i
\(287\) −7.12801 + 3.14358i −0.420753 + 0.185559i
\(288\) 17.4673 16.8538i 1.02927 0.993122i
\(289\) −27.0429 + 2.84233i −1.59076 + 0.167196i
\(290\) 17.1317 + 14.3263i 1.00601 + 0.841270i
\(291\) 9.13284 + 6.04766i 0.535377 + 0.354520i
\(292\) 15.4606 + 23.8073i 0.904764 + 1.39321i
\(293\) 1.47367 + 1.47367i 0.0860925 + 0.0860925i 0.748842 0.662749i \(-0.230610\pi\)
−0.662749 + 0.748842i \(0.730610\pi\)
\(294\) 23.7299 8.67666i 1.38395 0.506033i
\(295\) 22.1759 4.34919i 1.29113 0.253220i
\(296\) −1.67203 + 1.50550i −0.0971845 + 0.0875053i
\(297\) −3.28203 + 6.86977i −0.190443 + 0.398625i
\(298\) −5.39952 + 2.07268i −0.312786 + 0.120067i
\(299\) −8.89243 + 15.4021i −0.514262 + 0.890729i
\(300\) 5.01819 19.6588i 0.289726 1.13500i
\(301\) 28.1601 7.43933i 1.62312 0.428796i
\(302\) 1.72283 10.8775i 0.0991375 0.625930i
\(303\) 1.89883 + 1.11903i 0.109085 + 0.0642868i
\(304\) −3.22884 15.1905i −0.185187 0.871234i
\(305\) 0.386660 0.164894i 0.0221401 0.00944178i
\(306\) 16.2228 + 38.2631i 0.927394 + 2.18736i
\(307\) −19.1335 19.1335i −1.09201 1.09201i −0.995314 0.0966950i \(-0.969173\pi\)
−0.0966950 0.995314i \(-0.530827\pi\)
\(308\) −6.72788 6.10083i −0.383356 0.347627i
\(309\) −6.24216 12.5264i −0.355104 0.712603i
\(310\) 20.0536 + 40.9414i 1.13897 + 2.32531i
\(311\) 1.58172 3.55259i 0.0896908 0.201449i −0.863130 0.504981i \(-0.831499\pi\)
0.952821 + 0.303532i \(0.0981661\pi\)
\(312\) 3.77422 0.767047i 0.213673 0.0434255i
\(313\) −3.18761 + 8.30400i −0.180174 + 0.469370i −0.993688 0.112175i \(-0.964218\pi\)
0.813514 + 0.581545i \(0.197552\pi\)
\(314\) 11.8180 8.58626i 0.666927 0.484551i
\(315\) 12.7391 + 12.3578i 0.717766 + 0.696284i
\(316\) 18.6149 + 13.5245i 1.04717 + 0.760813i
\(317\) 11.5047 7.47125i 0.646169 0.419627i −0.179519 0.983755i \(-0.557454\pi\)
0.825688 + 0.564128i \(0.190787\pi\)
\(318\) 8.72496 9.51761i 0.489272 0.533721i
\(319\) 5.21847 + 4.69873i 0.292178 + 0.263079i
\(320\) −14.0541 + 18.7157i −0.785650 + 1.04624i
\(321\) 9.27174 9.10748i 0.517498 0.508330i
\(322\) −29.9263 9.84025i −1.66773 0.548376i
\(323\) 31.8955 + 5.05174i 1.77471 + 0.281087i
\(324\) 16.1635 13.5397i 0.897975 0.752205i
\(325\) −11.3467 + 10.6524i −0.629404 + 0.590890i
\(326\) −32.2491 + 18.6190i −1.78611 + 1.03121i
\(327\) 10.8795 + 25.0355i 0.601638 + 1.38447i
\(328\) −0.954940 1.87418i −0.0527278 0.103484i
\(329\) 10.7200 + 7.01543i 0.591013 + 0.386773i
\(330\) 3.34208 11.3438i 0.183976 0.624455i
\(331\) 6.61084 + 1.40518i 0.363365 + 0.0772356i 0.385976 0.922509i \(-0.373865\pi\)
−0.0226113 + 0.999744i \(0.507198\pi\)
\(332\) −31.2487 8.37306i −1.71499 0.459531i
\(333\) 7.44814 5.81408i 0.408155 0.318610i
\(334\) −6.36107 14.2872i −0.348062 0.781761i
\(335\) 3.01808 + 8.24902i 0.164895 + 0.450692i
\(336\) −5.79154 13.4567i −0.315954 0.734122i
\(337\) −1.73611 10.9614i −0.0945722 0.597105i −0.988771 0.149436i \(-0.952254\pi\)
0.894199 0.447669i \(-0.147746\pi\)
\(338\) 6.44183 + 2.47279i 0.350389 + 0.134502i
\(339\) −4.26191 + 3.38861i −0.231475 + 0.184044i
\(340\) −18.5039 29.5022i −1.00352 1.59998i
\(341\) 5.83049 + 13.0955i 0.315739 + 0.709161i
\(342\) −4.21403 30.0761i −0.227869 1.62633i
\(343\) 0.195573 18.5192i 0.0105600 0.999944i
\(344\) 2.43016 + 7.47925i 0.131025 + 0.403254i
\(345\) −2.92059 21.9353i −0.157239 1.18096i
\(346\) −9.21460 + 1.95862i −0.495380 + 0.105296i
\(347\) 18.3627 28.2760i 0.985760 1.51794i 0.136040 0.990703i \(-0.456563\pi\)
0.849720 0.527234i \(-0.176771\pi\)
\(348\) −7.75089 17.8361i −0.415491 0.956114i
\(349\) 15.9633i 0.854498i −0.904134 0.427249i \(-0.859483\pi\)
0.904134 0.427249i \(-0.140517\pi\)
\(350\) −22.5797 15.8160i −1.20694 0.845401i
\(351\) −16.0370 + 2.10103i −0.855993 + 0.112145i
\(352\) −7.46053 + 9.21299i −0.397648 + 0.491054i
\(353\) 0.420624 + 0.273157i 0.0223876 + 0.0145387i 0.555784 0.831327i \(-0.312418\pi\)
−0.533397 + 0.845865i \(0.679085\pi\)
\(354\) −35.1498 9.75586i −1.86819 0.518518i
\(355\) −0.201448 + 12.7687i −0.0106918 + 0.677692i
\(356\) −8.49401 + 2.75987i −0.450182 + 0.146273i
\(357\) 30.4393 1.21527i 1.61102 0.0643187i
\(358\) −7.45574 3.79889i −0.394048 0.200778i
\(359\) −18.6186 + 8.28951i −0.982650 + 0.437504i −0.834228 0.551420i \(-0.814086\pi\)
−0.148422 + 0.988924i \(0.547419\pi\)
\(360\) −3.13934 + 3.62058i −0.165458 + 0.190821i
\(361\) −4.20049 1.87018i −0.221078 0.0984304i
\(362\) −5.07515 + 13.2212i −0.266744 + 0.694892i
\(363\) −4.86863 + 14.5406i −0.255537 + 0.763186i
\(364\) 3.08529 19.0456i 0.161713 0.998262i
\(365\) 16.7164 + 21.3221i 0.874975 + 1.11605i
\(366\) −0.677262 0.0415660i −0.0354011 0.00217269i
\(367\) 22.8538 1.19772i 1.19296 0.0625202i 0.554504 0.832181i \(-0.312908\pi\)
0.638453 + 0.769661i \(0.279575\pi\)
\(368\) −4.72758 + 17.6436i −0.246442 + 0.919735i
\(369\) 3.44811 + 8.13273i 0.179501 + 0.423373i
\(370\) −9.99130 + 10.7505i −0.519423 + 0.558890i
\(371\) −4.26695 8.44775i −0.221529 0.438585i
\(372\) 0.354781 39.6978i 0.0183945 2.05823i
\(373\) −7.25516 5.87511i −0.375658 0.304202i 0.422834 0.906207i \(-0.361035\pi\)
−0.798492 + 0.602005i \(0.794369\pi\)
\(374\) −10.1491 17.5788i −0.524799 0.908978i
\(375\) 3.10397 19.1145i 0.160288 0.987070i
\(376\) −1.72957 + 2.99571i −0.0891960 + 0.154492i
\(377\) −2.33365 + 14.7341i −0.120189 + 0.758846i
\(378\) −9.45119 27.0456i −0.486117 1.39107i
\(379\) −5.45202 1.77147i −0.280051 0.0909942i 0.165624 0.986189i \(-0.447036\pi\)
−0.445675 + 0.895195i \(0.647036\pi\)
\(380\) 7.48115 + 24.3237i 0.383775 + 1.24778i
\(381\) 9.97268 + 26.6902i 0.510916 + 1.36738i
\(382\) 5.38940 20.1135i 0.275746 1.02910i
\(383\) −7.08354 10.9077i −0.361952 0.557357i 0.610040 0.792370i \(-0.291153\pi\)
−0.971992 + 0.235013i \(0.924487\pi\)
\(384\) 8.72928 4.34997i 0.445464 0.221983i
\(385\) −6.91324 5.22949i −0.352331 0.266520i
\(386\) −1.03952 1.43077i −0.0529101 0.0728245i
\(387\) −7.97623 32.0483i −0.405455 1.62911i
\(388\) 9.32406 + 11.5143i 0.473357 + 0.584548i
\(389\) −8.68371 3.86624i −0.440281 0.196026i 0.174610 0.984638i \(-0.444134\pi\)
−0.614891 + 0.788612i \(0.710800\pi\)
\(390\) 24.0777 7.17060i 1.21922 0.363097i
\(391\) −30.7286 22.3256i −1.55401 1.12905i
\(392\) 4.99539 0.226545i 0.252305 0.0114423i
\(393\) 22.5451 7.10322i 1.13725 0.358310i
\(394\) 5.62272 26.4528i 0.283268 1.33267i
\(395\) 18.8433 + 11.2792i 0.948107 + 0.567517i
\(396\) −7.02647 + 7.52862i −0.353093 + 0.378327i
\(397\) −1.19148 + 22.7348i −0.0597986 + 1.14102i 0.789721 + 0.613467i \(0.210226\pi\)
−0.849519 + 0.527558i \(0.823108\pi\)
\(398\) −10.5621 1.67288i −0.529431 0.0838537i
\(399\) −21.7153 4.89923i −1.08713 0.245268i
\(400\) −8.42497 + 13.5840i −0.421248 + 0.679200i
\(401\) −24.1378 13.9360i −1.20539 0.695930i −0.243638 0.969866i \(-0.578341\pi\)
−0.961748 + 0.273936i \(0.911674\pi\)
\(402\) 1.60806 14.0874i 0.0802026 0.702617i
\(403\) −16.5857 + 25.5398i −0.826194 + 1.27223i
\(404\) 1.99482 + 2.21547i 0.0992460 + 0.110224i
\(405\) 14.2183 14.2422i 0.706515 0.707699i
\(406\) −26.3926 + 1.29004i −1.30984 + 0.0640235i
\(407\) −3.26317 + 3.26317i −0.161749 + 0.161749i
\(408\) 0.786635 + 8.18756i 0.0389443 + 0.405344i
\(409\) 24.3094 + 2.55503i 1.20202 + 0.126338i 0.684294 0.729206i \(-0.260110\pi\)
0.517730 + 0.855544i \(0.326777\pi\)
\(410\) −7.29046 11.6237i −0.360050 0.574055i
\(411\) 3.90783 9.91449i 0.192759 0.489046i
\(412\) −2.96139 18.6975i −0.145897 0.921160i
\(413\) −15.7927 + 21.5767i −0.777109 + 1.06172i
\(414\) −11.6437 + 33.7696i −0.572256 + 1.65969i
\(415\) −30.4171 5.31075i −1.49312 0.260695i
\(416\) −25.0465 2.63249i −1.22800 0.129068i
\(417\) −5.67097 + 12.4369i −0.277709 + 0.609037i
\(418\) 3.83903 + 14.3275i 0.187773 + 0.700779i
\(419\) 10.6879 + 32.8940i 0.522139 + 1.60698i 0.769905 + 0.638159i \(0.220304\pi\)
−0.247765 + 0.968820i \(0.579696\pi\)
\(420\) 11.4116 + 21.1208i 0.556828 + 1.03059i
\(421\) 4.36391 13.4307i 0.212684 0.654574i −0.786626 0.617430i \(-0.788174\pi\)
0.999310 0.0371443i \(-0.0118261\pi\)
\(422\) 6.15068 + 0.322344i 0.299411 + 0.0156914i
\(423\) 8.12839 12.0399i 0.395216 0.585401i
\(424\) 2.21301 1.27768i 0.107473 0.0620498i
\(425\) −20.0924 26.4782i −0.974624 1.28438i
\(426\) 9.52230 18.2828i 0.461357 0.885803i
\(427\) −0.203896 + 0.453652i −0.00986719 + 0.0219538i
\(428\) 15.6633 7.98086i 0.757115 0.385770i
\(429\) 7.64832 1.97627i 0.369264 0.0954154i
\(430\) 20.1231 + 47.1867i 0.970421 + 2.27555i
\(431\) −2.07214 1.86577i −0.0998116 0.0898708i 0.617714 0.786403i \(-0.288059\pi\)
−0.717526 + 0.696532i \(0.754725\pi\)
\(432\) −15.3511 + 6.34731i −0.738581 + 0.305385i
\(433\) 2.30249 + 1.17318i 0.110651 + 0.0563793i 0.508440 0.861098i \(-0.330222\pi\)
−0.397789 + 0.917477i \(0.630222\pi\)
\(434\) −50.2903 19.5080i −2.41401 0.936415i
\(435\) −8.88071 16.2991i −0.425797 0.781484i
\(436\) 3.85947 + 36.7204i 0.184835 + 1.75859i
\(437\) 17.4672 + 21.5702i 0.835568 + 1.03184i
\(438\) −8.71035 42.8588i −0.416197 2.04787i
\(439\) 28.9527 3.04305i 1.38184 0.145237i 0.615733 0.787955i \(-0.288860\pi\)
0.766103 + 0.642718i \(0.222193\pi\)
\(440\) 1.30552 1.94254i 0.0622384 0.0926071i
\(441\) −20.9935 0.523134i −0.999690 0.0249112i
\(442\) 19.5767 38.4215i 0.931169 1.82752i
\(443\) −9.16713 + 2.45633i −0.435544 + 0.116704i −0.469927 0.882705i \(-0.655720\pi\)
0.0343837 + 0.999409i \(0.489053\pi\)
\(444\) 11.9720 4.47329i 0.568168 0.212293i
\(445\) −7.84104 + 3.34386i −0.371701 + 0.158514i
\(446\) 33.1676 29.8642i 1.57053 1.41411i
\(447\) 4.80686 + 0.0429592i 0.227357 + 0.00203190i
\(448\) −2.79776 27.5515i −0.132182 1.30169i
\(449\) 21.9332 1.03509 0.517547 0.855655i \(-0.326845\pi\)
0.517547 + 0.855655i \(0.326845\pi\)
\(450\) −18.2993 + 25.3429i −0.862637 + 1.19468i
\(451\) −2.15717 3.73633i −0.101577 0.175937i
\(452\) −6.87563 + 2.63931i −0.323402 + 0.124143i
\(453\) −4.64739 + 7.88591i −0.218353 + 0.370512i
\(454\) −44.9178 14.5947i −2.10810 0.684963i
\(455\) 1.31840 18.3677i 0.0618077 0.861092i
\(456\) 0.993277 5.92793i 0.0465145 0.277601i
\(457\) 31.7151 8.49803i 1.48357 0.397521i 0.576009 0.817443i \(-0.304609\pi\)
0.907560 + 0.419922i \(0.137943\pi\)
\(458\) 20.8535 1.09288i 0.974419 0.0510671i
\(459\) −0.882444 34.5312i −0.0411890 1.61178i
\(460\) 5.14813 29.4857i 0.240033 1.37478i
\(461\) −10.6309 14.6322i −0.495130 0.681489i 0.486193 0.873851i \(-0.338385\pi\)
−0.981324 + 0.192363i \(0.938385\pi\)
\(462\) 6.19669 + 12.5456i 0.288296 + 0.583675i
\(463\) 11.1872 1.77187i 0.519912 0.0823459i 0.109037 0.994038i \(-0.465223\pi\)
0.410875 + 0.911692i \(0.365223\pi\)
\(464\) 1.60152 + 15.2374i 0.0743485 + 0.707379i
\(465\) −3.02832 37.7697i −0.140435 1.75153i
\(466\) 2.16557 20.6040i 0.100318 0.954463i
\(467\) 34.5648 22.4466i 1.59947 1.03871i 0.635710 0.771928i \(-0.280707\pi\)
0.963758 0.266779i \(-0.0859593\pi\)
\(468\) −21.5433 3.80800i −0.995838 0.176025i
\(469\) −9.24368 4.75095i −0.426834 0.219378i
\(470\) −9.50174 + 20.4661i −0.438283 + 0.944032i
\(471\) −11.7551 + 3.03744i −0.541647 + 0.139958i
\(472\) −6.05483 3.93205i −0.278696 0.180987i
\(473\) 5.78051 + 15.0587i 0.265788 + 0.692402i
\(474\) −19.0409 29.9021i −0.874576 1.37345i
\(475\) 9.17430 + 22.4896i 0.420946 + 1.03189i
\(476\) 39.7636 + 10.8048i 1.82256 + 0.495236i
\(477\) −9.64730 + 4.70028i −0.441720 + 0.215211i
\(478\) 41.4008 + 2.16972i 1.89363 + 0.0992409i
\(479\) −16.7225 + 3.55448i −0.764071 + 0.162408i −0.573434 0.819252i \(-0.694389\pi\)
−0.190638 + 0.981660i \(0.561056\pi\)
\(480\) 26.6941 16.4121i 1.21841 0.749107i
\(481\) −9.58944 2.03830i −0.437241 0.0929384i
\(482\) 26.8233 26.8233i 1.22177 1.22177i
\(483\) 20.1413 + 16.7298i 0.916463 + 0.761233i
\(484\) −12.1913 + 16.7799i −0.554149 + 0.762721i
\(485\) 9.84031 + 10.1558i 0.446825 + 0.461150i
\(486\) −30.8175 + 10.2754i −1.39791 + 0.466101i
\(487\) −29.0024 + 23.4857i −1.31423 + 1.06424i −0.321118 + 0.947039i \(0.604059\pi\)
−0.993108 + 0.117200i \(0.962608\pi\)
\(488\) −0.125371 0.0481254i −0.00567528 0.00217854i
\(489\) 30.6112 4.56829i 1.38428 0.206585i
\(490\) 32.3252 4.36638i 1.46030 0.197253i
\(491\) −3.80631 + 5.23894i −0.171776 + 0.236430i −0.886222 0.463261i \(-0.846679\pi\)
0.714445 + 0.699691i \(0.246679\pi\)
\(492\) 1.14270 + 11.8935i 0.0515167 + 0.536202i
\(493\) −30.7739 8.24583i −1.38599 0.371374i
\(494\) −21.0848 + 23.4171i −0.948652 + 1.05358i
\(495\) −6.04159 + 7.75296i −0.271549 + 0.348470i
\(496\) −9.66498 + 29.7457i −0.433970 + 1.33562i
\(497\) −10.0710 11.2644i −0.451745 0.505279i
\(498\) 40.0599 + 29.6558i 1.79513 + 1.32891i
\(499\) 8.93936 + 5.16114i 0.400181 + 0.231044i 0.686562 0.727071i \(-0.259119\pi\)
−0.286381 + 0.958116i \(0.592452\pi\)
\(500\) 11.7739 23.3979i 0.526543 1.04639i
\(501\) 0.564257 + 12.9862i 0.0252091 + 0.580182i
\(502\) −12.4994 + 15.4355i −0.557875 + 0.688919i
\(503\) −16.9685 + 8.64588i −0.756588 + 0.385501i −0.789335 0.613963i \(-0.789575\pi\)
0.0327468 + 0.999464i \(0.489575\pi\)
\(504\) −0.175552 5.66735i −0.00781972 0.252444i
\(505\) 2.08425 + 1.93706i 0.0927478 + 0.0861983i
\(506\) 3.62727 17.0650i 0.161252 0.758630i
\(507\) −4.22747 3.87540i −0.187749 0.172113i
\(508\) 2.01699 + 38.4865i 0.0894896 + 1.70756i
\(509\) 23.9314 10.6549i 1.06074 0.472272i 0.199199 0.979959i \(-0.436166\pi\)
0.861542 + 0.507687i \(0.169499\pi\)
\(510\) 9.85507 + 52.7411i 0.436390 + 2.33541i
\(511\) −31.6452 5.12636i −1.39990 0.226777i
\(512\) −30.0585 + 4.76081i −1.32841 + 0.210400i
\(513\) −5.90804 + 24.5406i −0.260847 + 1.08349i
\(514\) −15.9353 + 35.7912i −0.702874 + 1.57868i
\(515\) −4.40050 17.5241i −0.193909 0.772205i
\(516\) 2.73649 44.5874i 0.120467 1.96285i
\(517\) −3.22108 + 6.32172i −0.141663 + 0.278029i
\(518\) 0.0611270 17.3653i 0.00268577 0.762988i
\(519\) 7.72210 + 1.29390i 0.338963 + 0.0567961i
\(520\) 4.97148 + 0.0784338i 0.218014 + 0.00343955i
\(521\) 2.22353 + 10.4609i 0.0974148 + 0.458301i 0.999635 + 0.0270245i \(0.00860322\pi\)
−0.902220 + 0.431276i \(0.858063\pi\)
\(522\) 1.03308 + 29.9443i 0.0452166 + 1.31063i
\(523\) −13.2320 10.7151i −0.578597 0.468539i 0.294792 0.955561i \(-0.404750\pi\)
−0.873389 + 0.487023i \(0.838083\pi\)
\(524\) 31.9725 1.39672
\(525\) 12.6393 + 19.1115i 0.551625 + 0.834092i
\(526\) −9.72912 −0.424210
\(527\) −50.5432 40.9291i −2.20170 1.78290i
\(528\) 7.06223 3.99366i 0.307344 0.173802i
\(529\) −2.00546 9.43496i −0.0871941 0.410216i
\(530\) 13.6382 9.58374i 0.592407 0.416291i
\(531\) 24.2061 + 18.2566i 1.05046 + 0.792268i
\(532\) −26.0235 15.1470i −1.12826 0.656708i
\(533\) 4.16098 8.16638i 0.180232 0.353725i
\(534\) 13.7341 + 0.842913i 0.594334 + 0.0364764i
\(535\) 14.2141 8.91513i 0.614528 0.385435i
\(536\) 1.14138 2.56357i 0.0492999 0.110729i
\(537\) 4.60731 + 5.20982i 0.198820 + 0.224820i
\(538\) 54.9313 8.70026i 2.36825 0.375095i
\(539\) 10.2076 1.00026i 0.439675 0.0430844i
\(540\) 24.1320 12.5945i 1.03847 0.541979i
\(541\) 7.76771 3.45841i 0.333960 0.148688i −0.232905 0.972500i \(-0.574823\pi\)
0.566864 + 0.823811i \(0.308156\pi\)
\(542\) −2.23616 42.6684i −0.0960512 1.83277i
\(543\) 7.95387 8.67647i 0.341333 0.372343i
\(544\) 11.1827 52.6103i 0.479453 2.25565i
\(545\) 6.78226 + 34.5818i 0.290520 + 1.48132i
\(546\) −15.1823 + 25.5560i −0.649744 + 1.09370i
\(547\) 1.92083 0.978710i 0.0821286 0.0418466i −0.412444 0.910983i \(-0.635325\pi\)
0.494572 + 0.869136i \(0.335325\pi\)
\(548\) 9.07139 11.2022i 0.387510 0.478536i
\(549\) 0.511022 + 0.238555i 0.0218099 + 0.0101813i
\(550\) 7.35680 13.3777i 0.313695 0.570427i
\(551\) 20.1621 + 11.6406i 0.858934 + 0.495906i
\(552\) −4.20632 + 5.68202i −0.179033 + 0.241843i
\(553\) −25.4357 + 5.31302i −1.08164 + 0.225933i
\(554\) −0.600953 + 1.84954i −0.0255321 + 0.0785796i
\(555\) 11.0022 5.26763i 0.467019 0.223599i
\(556\) −12.3713 + 13.7397i −0.524659 + 0.582693i
\(557\) 4.37542 + 1.17239i 0.185393 + 0.0496758i 0.350321 0.936630i \(-0.386073\pi\)
−0.164928 + 0.986306i \(0.552739\pi\)
\(558\) −22.9362 + 56.7005i −0.970967 + 2.40032i
\(559\) −20.1414 + 27.7223i −0.851891 + 1.17253i
\(560\) −3.57459 18.5723i −0.151054 0.784822i
\(561\) 2.49015 + 16.6860i 0.105134 + 0.704483i
\(562\) 38.0199 + 14.5945i 1.60377 + 0.615631i
\(563\) 8.61992 6.98027i 0.363286 0.294183i −0.430246 0.902712i \(-0.641573\pi\)
0.793532 + 0.608528i \(0.208240\pi\)
\(564\) 15.3802 12.2287i 0.647625 0.514922i
\(565\) −6.31271 + 3.09203i −0.265578 + 0.130083i
\(566\) −11.3311 + 15.5959i −0.476281 + 0.655545i
\(567\) −0.934784 + 23.7934i −0.0392572 + 0.999229i
\(568\) 2.88482 2.88482i 0.121044 0.121044i
\(569\) 29.1253 + 6.19078i 1.22100 + 0.259531i 0.772943 0.634475i \(-0.218784\pi\)
0.448054 + 0.894006i \(0.352117\pi\)
\(570\) 3.01881 39.0910i 0.126444 1.63734i
\(571\) −21.7877 + 4.63112i −0.911788 + 0.193807i −0.639842 0.768506i \(-0.721000\pi\)
−0.271946 + 0.962313i \(0.587667\pi\)
\(572\) 10.6703 + 0.559209i 0.446150 + 0.0233817i
\(573\) −10.2975 + 13.9101i −0.430184 + 0.581104i
\(574\) 15.6667 + 4.25703i 0.653914 + 0.177685i
\(575\) 2.39437 28.4677i 0.0998521 1.18719i
\(576\) −31.2828 + 2.72364i −1.30345 + 0.113485i
\(577\) −2.94464 7.67106i −0.122587 0.319350i 0.858531 0.512762i \(-0.171378\pi\)
−0.981118 + 0.193412i \(0.938045\pi\)
\(578\) 47.5243 + 30.8626i 1.97675 + 1.28372i
\(579\) 0.367736 + 1.42316i 0.0152826 + 0.0591446i
\(580\) −4.83189 24.6372i −0.200633 1.02300i
\(581\) 30.7103 19.7901i 1.27408 0.821033i
\(582\) −6.85957 21.7717i −0.284338 0.902467i
\(583\) 4.39572 2.85461i 0.182052 0.118226i
\(584\) 0.904766 8.60827i 0.0374395 0.356213i
\(585\) −20.8034 1.79371i −0.860116 0.0741606i
\(586\) −0.453976 4.31930i −0.0187536 0.178428i
\(587\) −17.0566 + 2.70150i −0.704000 + 0.111503i −0.498163 0.867084i \(-0.665992\pi\)
−0.205837 + 0.978586i \(0.565992\pi\)
\(588\) −26.8710 9.20806i −1.10814 0.379734i
\(589\) 27.9348 + 38.4489i 1.15103 + 1.58426i
\(590\) −41.6183 22.0393i −1.71340 0.907345i
\(591\) −12.4100 + 18.7409i −0.510478 + 0.770896i
\(592\) −10.0551 + 0.526965i −0.413261 + 0.0216581i
\(593\) −20.2412 + 5.42361i −0.831205 + 0.222721i −0.649240 0.760584i \(-0.724913\pi\)
−0.181966 + 0.983305i \(0.558246\pi\)
\(594\) 14.3248 6.82149i 0.587753 0.279889i
\(595\) 38.7182 + 6.90063i 1.58729 + 0.282898i
\(596\) 6.18385 + 2.00925i 0.253300 + 0.0823023i
\(597\) 7.65727 + 4.51264i 0.313391 + 0.184690i
\(598\) 34.6008 13.2820i 1.41493 0.543142i
\(599\) 4.39332 + 7.60946i 0.179506 + 0.310914i 0.941712 0.336421i \(-0.109217\pi\)
−0.762205 + 0.647335i \(0.775883\pi\)
\(600\) −4.96150 + 3.69552i −0.202552 + 0.150869i
\(601\) −14.7311 −0.600895 −0.300447 0.953798i \(-0.597136\pi\)
−0.300447 + 0.953798i \(0.597136\pi\)
\(602\) −55.3623 24.8828i −2.25640 1.01415i
\(603\) −5.53696 + 10.4029i −0.225482 + 0.423641i
\(604\) −9.20094 + 8.28456i −0.374381 + 0.337094i
\(605\) −10.1673 + 16.9857i −0.413360 + 0.690568i
\(606\) −1.60763 4.30255i −0.0653053 0.174779i
\(607\) 8.20145 2.19757i 0.332886 0.0891967i −0.0885044 0.996076i \(-0.528209\pi\)
0.421391 + 0.906879i \(0.361542\pi\)
\(608\) −17.8435 + 35.0198i −0.723649 + 1.42024i
\(609\) 20.8012 + 7.04636i 0.842906 + 0.285533i
\(610\) −0.842456 0.240041i −0.0341101 0.00971900i
\(611\) −14.9900 + 1.57552i −0.606432 + 0.0637386i
\(612\) 12.8974 44.9072i 0.521345 1.81527i
\(613\) 8.62999 + 10.6572i 0.348562 + 0.430438i 0.921032 0.389488i \(-0.127348\pi\)
−0.572470 + 0.819926i \(0.694015\pi\)
\(614\) 5.89426 + 56.0802i 0.237873 + 2.26321i
\(615\) 2.09467 + 11.2100i 0.0844652 + 0.452030i
\(616\) 0.423583 + 2.73671i 0.0170666 + 0.110265i
\(617\) 23.1151 + 11.7777i 0.930577 + 0.474153i 0.852461 0.522791i \(-0.175109\pi\)
0.0781167 + 0.996944i \(0.475109\pi\)
\(618\) −6.31863 + 28.4732i −0.254173 + 1.14536i
\(619\) 2.91929 + 2.62854i 0.117336 + 0.105650i 0.725710 0.688000i \(-0.241511\pi\)
−0.608374 + 0.793650i \(0.708178\pi\)
\(620\) 11.4453 49.9574i 0.459655 2.00634i
\(621\) 19.2957 22.5635i 0.774309 0.905442i
\(622\) −7.22072 + 3.67914i −0.289524 + 0.147520i
\(623\) 4.13478 9.19957i 0.165656 0.368573i
\(624\) 15.2865 + 7.96175i 0.611951 + 0.318725i
\(625\) 9.20939 23.2419i 0.368375 0.929677i
\(626\) 16.0528 9.26809i 0.641599 0.370427i
\(627\) 1.39817 12.2487i 0.0558376 0.489166i
\(628\) −16.3998 0.859478i −0.654424 0.0342969i
\(629\) 6.47001 19.9127i 0.257976 0.793970i
\(630\) −4.42442 36.7206i −0.176273 1.46298i
\(631\) −5.50859 16.9537i −0.219294 0.674916i −0.998821 0.0485481i \(-0.984541\pi\)
0.779527 0.626368i \(-0.215459\pi\)
\(632\) −1.81586 6.77688i −0.0722310 0.269570i
\(633\) −4.65775 2.12384i −0.185129 0.0844151i
\(634\) −28.4304 2.98816i −1.12912 0.118675i
\(635\) 5.18041 + 36.4171i 0.205578 + 1.44517i
\(636\) −14.3564 + 2.14250i −0.569270 + 0.0849557i
\(637\) 13.5926 + 17.0293i 0.538560 + 0.674724i
\(638\) −2.28922 14.4536i −0.0906310 0.572222i
\(639\) −12.9353 + 11.2349i −0.511711 + 0.444446i
\(640\) 12.2120 3.06658i 0.482723 0.121217i
\(641\) 37.2386 + 3.91393i 1.47083 + 0.154591i 0.805785 0.592208i \(-0.201744\pi\)
0.665050 + 0.746799i \(0.268410\pi\)
\(642\) −26.9599 + 2.59023i −1.06402 + 0.102228i
\(643\) −1.52466 + 1.52466i −0.0601267 + 0.0601267i −0.736531 0.676404i \(-0.763537\pi\)
0.676404 + 0.736531i \(0.263537\pi\)
\(644\) 19.1841 + 29.7699i 0.755960 + 1.17310i
\(645\) −1.17864 42.6200i −0.0464090 1.67816i
\(646\) −45.0303 50.0112i −1.77169 1.96766i
\(647\) −12.6274 + 19.4444i −0.496433 + 0.764440i −0.994726 0.102569i \(-0.967294\pi\)
0.498293 + 0.867009i \(0.333960\pi\)
\(648\) −6.42836 + 0.106802i −0.252530 + 0.00419557i
\(649\) −12.8241 7.40399i −0.503389 0.290632i
\(650\) 32.3466 2.37099i 1.26874 0.0929981i
\(651\) 32.9412 + 30.4119i 1.29107 + 1.19194i
\(652\) 41.3482 + 6.54891i 1.61932 + 0.256475i
\(653\) −0.994615 + 18.9784i −0.0389223 + 0.742682i 0.907559 + 0.419924i \(0.137943\pi\)
−0.946482 + 0.322758i \(0.895390\pi\)
\(654\) 15.2136 54.8137i 0.594898 2.14338i
\(655\) 30.3954 2.71065i 1.18764 0.105914i
\(656\) 1.95713 9.20759i 0.0764132 0.359496i
\(657\) −6.32717 + 35.7952i −0.246846 + 1.39650i
\(658\) −8.16082 25.4206i −0.318142 0.990997i
\(659\) 37.9002 + 27.5361i 1.47638 + 1.07266i 0.978700 + 0.205297i \(0.0658160\pi\)
0.497684 + 0.867359i \(0.334184\pi\)
\(660\) −10.9455 + 7.54634i −0.426055 + 0.293741i
\(661\) −12.0663 5.37225i −0.469323 0.208956i 0.158427 0.987371i \(-0.449358\pi\)
−0.627751 + 0.778414i \(0.716024\pi\)
\(662\) −8.86358 10.9456i −0.344493 0.425413i
\(663\) −26.8476 + 23.7427i −1.04268 + 0.922091i
\(664\) 5.79816 + 7.98049i 0.225012 + 0.309703i
\(665\) −26.0240 12.1936i −1.00917 0.472847i
\(666\) −19.6874 0.351923i −0.762871 0.0136367i
\(667\) −14.9138 22.9653i −0.577466 0.889219i
\(668\) −4.55054 + 16.9828i −0.176066 + 0.657086i
\(669\) −34.7487 + 12.9837i −1.34346 + 0.501978i
\(670\) 5.93044 17.3176i 0.229113 0.669037i
\(671\) −0.261961 0.0851164i −0.0101129 0.00328588i
\(672\) −10.0416 + 35.6913i −0.387364 + 1.37682i
\(673\) 1.83559 11.5895i 0.0707568 0.446741i −0.926720 0.375752i \(-0.877385\pi\)
0.997477 0.0709888i \(-0.0226155\pi\)
\(674\) −11.5638 + 20.0291i −0.445421 + 0.771492i
\(675\) 21.8738 14.0191i 0.841924 0.539596i
\(676\) −3.87862 6.71796i −0.149178 0.258383i
\(677\) −36.2756 29.3754i −1.39418 1.12899i −0.975284 0.220954i \(-0.929083\pi\)
−0.418899 0.908033i \(-0.637584\pi\)
\(678\) 11.3463 + 0.101403i 0.435752 + 0.00389434i
\(679\) −16.7059 0.934497i −0.641113 0.0358627i
\(680\) −1.27642 + 10.5418i −0.0489483 + 0.404258i
\(681\) 30.2844 + 24.9752i 1.16050 + 0.957053i
\(682\) 7.73166 28.8549i 0.296060 1.10491i
\(683\) 11.1630 0.585030i 0.427142 0.0223856i 0.162446 0.986717i \(-0.448062\pi\)
0.264696 + 0.964332i \(0.414728\pi\)
\(684\) −17.5969 + 29.2583i −0.672834 + 1.11872i
\(685\) 7.67418 11.4187i 0.293215 0.436287i
\(686\) −24.6040 + 29.7358i −0.939386 + 1.13532i
\(687\) −16.4580 5.51061i −0.627911 0.210243i
\(688\) −12.6123 + 32.8561i −0.480838 + 1.25263i
\(689\) 10.1719 + 4.52883i 0.387519 + 0.172535i
\(690\) −24.0374 + 39.3549i −0.915087 + 1.49822i
\(691\) −42.1239 + 18.7548i −1.60247 + 0.713465i −0.996623 0.0821176i \(-0.973832\pi\)
−0.605845 + 0.795582i \(0.707165\pi\)
\(692\) 9.43631 + 4.80804i 0.358715 + 0.182774i
\(693\) −0.967947 11.5895i −0.0367693 0.440248i
\(694\) −66.8218 + 21.7117i −2.53652 + 0.824165i
\(695\) −10.5962 + 14.1108i −0.401936 + 0.535253i
\(696\) −1.58589 + 5.71387i −0.0601130 + 0.216584i
\(697\) 16.4163 + 10.6608i 0.621810 + 0.403808i
\(698\) −20.9353 + 25.8530i −0.792415 + 0.978551i
\(699\) −7.95417 + 15.2720i −0.300854 + 0.577639i
\(700\) 8.53773 + 29.7931i 0.322696 + 1.12607i
\(701\) 28.1076i 1.06161i 0.847494 + 0.530805i \(0.178110\pi\)
−0.847494 + 0.530805i \(0.821890\pi\)
\(702\) 28.7277 + 17.6293i 1.08426 + 0.665375i
\(703\) −8.33294 + 12.8316i −0.314283 + 0.483953i
\(704\) 15.0014 3.18865i 0.565387 0.120177i
\(705\) 13.5848 12.9294i 0.511633 0.486951i
\(706\) −0.322976 0.994017i −0.0121553 0.0374103i
\(707\) −3.36670 0.0118510i −0.126618 0.000445703i
\(708\) 23.8075 + 33.3917i 0.894740 + 1.25494i
\(709\) 12.2866 + 27.5961i 0.461433 + 1.03639i 0.983071 + 0.183228i \(0.0586545\pi\)
−0.521638 + 0.853167i \(0.674679\pi\)
\(710\) 17.0719 20.4150i 0.640698 0.766161i
\(711\) 5.60981 + 28.9249i 0.210384 + 1.08477i
\(712\) 2.54239 + 0.975931i 0.0952800 + 0.0365746i
\(713\) −8.74449 55.2106i −0.327484 2.06765i
\(714\) −50.8910 37.9519i −1.90455 1.42032i
\(715\) 10.1914 0.373014i 0.381137 0.0139499i
\(716\) 3.82625 + 8.59389i 0.142994 + 0.321169i
\(717\) −31.3517 14.2958i −1.17085 0.533885i
\(718\) 41.0246 + 10.9925i 1.53102 + 0.410237i
\(719\) −12.7373 2.70740i −0.475022 0.100969i −0.0358215 0.999358i \(-0.511405\pi\)
−0.439200 + 0.898389i \(0.644738\pi\)
\(720\) −21.1150 + 3.75053i −0.786909 + 0.139774i
\(721\) 17.8885 + 11.7066i 0.666202 + 0.435978i
\(722\) 4.35012 + 8.53759i 0.161895 + 0.317736i
\(723\) −28.9161 + 12.5659i −1.07540 + 0.467330i
\(724\) 13.7880 7.96048i 0.512425 0.295849i
\(725\) −6.68230 23.0122i −0.248174 0.854652i
\(726\) 26.9544 17.1639i 1.00037 0.637011i
\(727\) 4.64386 + 0.735515i 0.172231 + 0.0272787i 0.241954 0.970288i \(-0.422212\pi\)
−0.0697232 + 0.997566i \(0.522212\pi\)
\(728\) −4.38580 + 3.92113i −0.162549 + 0.145327i
\(729\) 26.9612 + 1.44707i 0.998563 + 0.0535952i
\(730\) 0.890670 56.4546i 0.0329652 2.08948i
\(731\) −54.3850 48.9685i −2.01150 1.81116i
\(732\) 0.562302 + 0.515473i 0.0207833 + 0.0190524i
\(733\) 8.62428 5.60067i 0.318545 0.206866i −0.375455 0.926841i \(-0.622513\pi\)
0.694000 + 0.719975i \(0.255847\pi\)
\(734\) −38.5830 28.0322i −1.42412 1.03469i
\(735\) −26.3261 6.47571i −0.971054 0.238860i
\(736\) 37.3995 27.1723i 1.37857 1.00159i
\(737\) 2.06267 5.37344i 0.0759794 0.197933i
\(738\) 5.08150 17.6932i 0.187053 0.651296i
\(739\) 19.4231 43.6250i 0.714490 1.60477i −0.0794957 0.996835i \(-0.525331\pi\)
0.793986 0.607936i \(-0.208002\pi\)
\(740\) 16.3350 2.32370i 0.600488 0.0854208i
\(741\) 23.4408 11.6810i 0.861119 0.429112i
\(742\) −4.16849 + 19.2773i −0.153030 + 0.707691i
\(743\) −32.2396 32.2396i −1.18276 1.18276i −0.979027 0.203728i \(-0.934694\pi\)
−0.203728 0.979027i \(-0.565306\pi\)
\(744\) −7.70173 + 9.33895i −0.282359 + 0.342383i
\(745\) 6.04916 + 1.38587i 0.221624 + 0.0507744i
\(746\) 4.04490 + 19.0298i 0.148094 + 0.696729i
\(747\) −21.9378 35.1406i −0.802661 1.28573i
\(748\) −3.56977 + 22.5387i −0.130524 + 0.824095i
\(749\) −5.20571 + 19.1580i −0.190212 + 0.700017i
\(750\) −30.0950 + 26.8857i −1.09891 + 0.981726i
\(751\) −9.03813 + 15.6545i −0.329806 + 0.571241i −0.982473 0.186404i \(-0.940317\pi\)
0.652667 + 0.757645i \(0.273650\pi\)
\(752\) −14.4522 + 5.54766i −0.527016 + 0.202303i
\(753\) 14.3695 8.12588i 0.523654 0.296124i
\(754\) 23.1027 20.8017i 0.841350 0.757555i
\(755\) −8.04471 + 8.65596i −0.292777 + 0.315023i
\(756\) −10.8772 + 30.3158i −0.395600 + 1.10257i
\(757\) 13.6624 + 13.6624i 0.496569 + 0.496569i 0.910368 0.413799i \(-0.135799\pi\)
−0.413799 + 0.910368i \(0.635799\pi\)
\(758\) 6.50645 + 10.0191i 0.236325 + 0.363908i
\(759\) −8.00579 + 12.0899i −0.290592 + 0.438836i
\(760\) 2.89473 7.19946i 0.105003 0.261152i
\(761\) −13.2512 + 1.39275i −0.480354 + 0.0504873i −0.341612 0.939841i \(-0.610973\pi\)
−0.138743 + 0.990328i \(0.544306\pi\)
\(762\) 18.8523 56.3043i 0.682947 2.03969i
\(763\) −33.6473 24.6276i −1.21811 0.891580i
\(764\) −18.9388 + 13.7598i −0.685180 + 0.497812i
\(765\) 8.45390 43.7855i 0.305652 1.58307i
\(766\) −2.83309 + 26.9551i −0.102364 + 0.973926i
\(767\) −1.64638 31.4148i −0.0594473 1.13432i
\(768\) 15.5557 + 3.45205i 0.561318 + 0.124565i
\(769\) 9.78523 3.17941i 0.352864 0.114653i −0.127221 0.991874i \(-0.540606\pi\)
0.480085 + 0.877222i \(0.340606\pi\)
\(770\) 4.33786 + 17.5358i 0.156326 + 0.631945i
\(771\) 23.2302 22.8187i 0.836616 0.821795i
\(772\) −0.104055 + 1.98549i −0.00374502 + 0.0714593i
\(773\) 5.86198 + 15.2710i 0.210841 + 0.549259i 0.997693 0.0678819i \(-0.0216241\pi\)
−0.786853 + 0.617141i \(0.788291\pi\)
\(774\) −29.1125 + 62.3635i −1.04643 + 2.24161i
\(775\) 6.64532 48.4634i 0.238707 1.74086i
\(776\) 4.51769i 0.162176i
\(777\) −5.33982 + 13.4090i −0.191565 + 0.481046i
\(778\) 8.99304 + 17.6498i 0.322416 + 0.632777i
\(779\) −9.57107 10.6297i −0.342919 0.380850i
\(780\) −26.1093 10.7700i −0.934864 0.385627i
\(781\) 5.59924 6.21859i 0.200357 0.222519i
\(782\) 20.4864 + 76.4562i 0.732592 + 2.73407i
\(783\) 8.32754 23.4692i 0.297602 0.838721i
\(784\) 18.0114 + 13.2808i 0.643264 + 0.474314i
\(785\) −15.6637 + 0.573304i −0.559062 + 0.0204621i
\(786\) −45.8279 18.0632i −1.63463 0.644293i
\(787\) 34.8205 28.1971i 1.24122 1.00512i 0.241823 0.970320i \(-0.422255\pi\)
0.999394 0.0347974i \(-0.0110786\pi\)
\(788\) −23.6276 + 19.1332i −0.841698 + 0.681594i
\(789\) 7.52301 + 2.96522i 0.267826 + 0.105565i
\(790\) −15.7249 42.9792i −0.559465 1.52913i
\(791\) 3.00792 7.75421i 0.106949 0.275708i
\(792\) 3.10971 0.435709i 0.110499 0.0154822i
\(793\) −0.151447 0.565209i −0.00537805 0.0200711i
\(794\) 31.7454 35.2569i 1.12660 1.25122i
\(795\) −13.4666 + 3.25396i −0.477612 + 0.115406i
\(796\) 8.04436 + 8.93417i 0.285125 + 0.316663i
\(797\) −16.1127 31.6230i −0.570743 1.12015i −0.978344 0.206986i \(-0.933635\pi\)
0.407601 0.913160i \(-0.366365\pi\)
\(798\) 28.7433 + 36.4133i 1.01750 + 1.28902i
\(799\) 32.1901i 1.13880i
\(800\) 38.2059 13.2989i 1.35078 0.470188i
\(801\) −10.3630 4.83764i −0.366157 0.170929i
\(802\) 20.8152 + 54.2256i 0.735012 + 1.91477i
\(803\) 0.929152 17.7293i 0.0327891 0.625653i
\(804\) −11.3717 + 11.1702i −0.401047 + 0.393943i
\(805\) 20.7617 + 26.6749i 0.731754 + 0.940168i
\(806\) 60.3555 19.6107i 2.12593 0.690757i
\(807\) −45.1270 10.0144i −1.58855 0.352523i
\(808\) −0.0475747 0.907780i −0.00167367 0.0319356i
\(809\) 2.68068 25.5049i 0.0942476 0.896706i −0.840600 0.541657i \(-0.817797\pi\)
0.934848 0.355049i \(-0.115536\pi\)
\(810\) −41.7050 + 4.41868i −1.46536 + 0.155256i
\(811\) −19.9000 + 14.4582i −0.698785 + 0.507697i −0.879536 0.475832i \(-0.842147\pi\)
0.180751 + 0.983529i \(0.442147\pi\)
\(812\) 23.9714 + 17.5455i 0.841231 + 0.615726i
\(813\) −11.2753 + 33.6748i −0.395442 + 1.18103i
\(814\) 9.56431 1.00525i 0.335229 0.0352340i
\(815\) 39.8638 + 2.72034i 1.39637 + 0.0952894i
\(816\) −20.3231 + 30.6908i −0.711449 + 1.07439i
\(817\) 29.1260 + 44.8501i 1.01899 + 1.56911i
\(818\) −36.0189 36.0189i −1.25937 1.25937i
\(819\) 19.5286 15.1339i 0.682385 0.528820i
\(820\) −1.85417 + 15.3134i −0.0647504 + 0.534766i
\(821\) 13.2789 11.9564i 0.463436 0.417280i −0.404053 0.914735i \(-0.632399\pi\)
0.867489 + 0.497456i \(0.165732\pi\)
\(822\) −19.3313 + 10.9318i −0.674257 + 0.381289i
\(823\) −4.42529 + 1.69871i −0.154256 + 0.0592133i −0.434271 0.900782i \(-0.642994\pi\)
0.280015 + 0.959996i \(0.409661\pi\)
\(824\) −2.88614 + 4.99894i −0.100543 + 0.174146i
\(825\) −9.76585 + 8.10207i −0.340003 + 0.282078i
\(826\) 53.8737 14.2324i 1.87451 0.495207i
\(827\) −2.37608 + 15.0020i −0.0826244 + 0.521670i 0.911312 + 0.411716i \(0.135070\pi\)
−0.993937 + 0.109954i \(0.964930\pi\)
\(828\) 34.0646 21.2660i 1.18383 0.739045i
\(829\) 5.29737 + 24.9222i 0.183985 + 0.865583i 0.969184 + 0.246339i \(0.0792276\pi\)
−0.785198 + 0.619244i \(0.787439\pi\)
\(830\) 42.2964 + 48.4919i 1.46813 + 1.68318i
\(831\) 1.02838 1.24700i 0.0356743 0.0432578i
\(832\) 23.0381 + 23.0381i 0.798702 + 0.798702i
\(833\) −39.2041 + 25.0688i −1.35834 + 0.868582i
\(834\) 25.4948 12.7046i 0.882813 0.439923i
\(835\) −2.88625 + 16.5309i −0.0998830 + 0.572076i
\(836\) 6.78247 15.2337i 0.234577 0.526868i
\(837\) 35.0164 36.8530i 1.21034 1.27383i
\(838\) 25.8300 67.2895i 0.892283 2.32448i
\(839\) 4.56177 3.31432i 0.157490 0.114423i −0.506249 0.862387i \(-0.668969\pi\)
0.663739 + 0.747964i \(0.268969\pi\)
\(840\) 1.34874 7.19469i 0.0465358 0.248241i
\(841\) 4.87952 + 3.54518i 0.168259 + 0.122248i
\(842\) −24.6814 + 16.0283i −0.850577 + 0.552371i
\(843\) −24.9507 22.8728i −0.859348 0.787780i
\(844\) −5.14567 4.63318i −0.177121 0.159481i
\(845\) −4.25685 6.05775i −0.146440 0.208393i
\(846\) −28.9540 + 8.83884i −0.995461 + 0.303885i
\(847\) −4.78927 22.9283i −0.164561 0.787827i
\(848\) 11.2950 + 1.78895i 0.387871 + 0.0614327i
\(849\) 13.5150 8.60602i 0.463834 0.295358i
\(850\) −2.18507 + 69.2324i −0.0749472 + 2.37465i
\(851\) 15.5846 8.99777i 0.534233 0.308440i
\(852\) −21.2543 + 9.23634i −0.728162 + 0.316432i
\(853\) −19.6966 38.6567i −0.674397 1.32358i −0.933795 0.357809i \(-0.883524\pi\)
0.259397 0.965771i \(-0.416476\pi\)
\(854\) 0.925162 0.467299i 0.0316584 0.0159906i
\(855\) −14.2483 + 29.3069i −0.487283 + 1.00228i
\(856\) −5.24314 1.11446i −0.179207 0.0380916i
\(857\) −11.5179 3.08621i −0.393444 0.105423i 0.0566728 0.998393i \(-0.481951\pi\)
−0.450116 + 0.892970i \(0.648617\pi\)
\(858\) −14.9784 6.82987i −0.511355 0.233168i
\(859\) −22.2123 49.8897i −0.757874 1.70221i −0.710875 0.703319i \(-0.751701\pi\)
−0.0469996 0.998895i \(-0.514966\pi\)
\(860\) 15.8031 55.4630i 0.538881 1.89127i
\(861\) −10.8167 8.06659i −0.368634 0.274909i
\(862\) 0.908999 + 5.73919i 0.0309606 + 0.195478i
\(863\) 37.7495 + 14.4907i 1.28501 + 0.493269i 0.902503 0.430684i \(-0.141728\pi\)
0.382507 + 0.923953i \(0.375061\pi\)
\(864\) 40.3026 + 11.9658i 1.37112 + 0.407085i
\(865\) 9.37847 + 3.77086i 0.318878 + 0.128213i
\(866\) −2.19036 4.91962i −0.0744313 0.167175i
\(867\) −27.3417 38.3487i −0.928574 1.30239i
\(868\) 30.1358 + 52.6237i 1.02288 + 1.78617i
\(869\) −4.44686 13.6860i −0.150849 0.464267i
\(870\) −6.99322 + 38.0436i −0.237092 + 1.28980i
\(871\) 11.9602 2.54222i 0.405256 0.0861399i
\(872\) 6.13176 9.44208i 0.207648 0.319749i
\(873\) −1.33140 + 18.9255i −0.0450610 + 0.640533i
\(874\) 57.8410i 1.95650i
\(875\) 10.6425 + 27.5996i 0.359781 + 0.933037i
\(876\) −22.7122 + 43.6074i −0.767375 + 1.47336i
\(877\) −27.8522 + 34.3947i −0.940503 + 1.16142i 0.0462063 + 0.998932i \(0.485287\pi\)
−0.986710 + 0.162493i \(0.948046\pi\)
\(878\) −50.8804 33.0421i −1.71713 1.11512i
\(879\) −0.965389 + 3.47824i −0.0325618 + 0.117318i
\(880\) 10.0113 3.07914i 0.337481 0.103798i
\(881\) −18.5838 + 6.03823i −0.626103 + 0.203433i −0.604848 0.796341i \(-0.706766\pi\)
−0.0212549 + 0.999774i \(0.506766\pi\)
\(882\) 33.3134 + 28.3794i 1.12172 + 0.955585i
\(883\) 17.2892 + 8.80926i 0.581826 + 0.296455i 0.720024 0.693949i \(-0.244131\pi\)
−0.138197 + 0.990405i \(0.544131\pi\)
\(884\) −44.2866 + 19.7177i −1.48952 + 0.663177i
\(885\) 25.4641 + 29.7261i 0.855966 + 0.999234i
\(886\) 18.0678 + 8.04429i 0.606998 + 0.270253i
\(887\) −20.7353 + 54.0173i −0.696223 + 1.81372i −0.126358 + 0.991985i \(0.540329\pi\)
−0.569865 + 0.821739i \(0.693004\pi\)
\(888\) −3.69535 1.23731i −0.124008 0.0415215i
\(889\) −33.7271 27.5088i −1.13117 0.922616i
\(890\) 17.0841 + 4.86778i 0.572660 + 0.163168i
\(891\) −13.1556 + 0.908818i −0.440730 + 0.0304466i
\(892\) −50.1065 + 2.62597i −1.67769 + 0.0879240i
\(893\) −6.08815 + 22.7213i −0.203732 + 0.760339i
\(894\) −7.72849 6.37360i −0.258479 0.213165i
\(895\) 4.36610 + 7.84558i 0.145943 + 0.262249i
\(896\) −8.15801 + 12.4659i −0.272540 + 0.416458i
\(897\) −30.8030 0.275288i −1.02848 0.00919161i
\(898\) −35.5214 28.7647i −1.18536 0.959889i
\(899\) −23.4437 40.6057i −0.781891 1.35427i
\(900\) 33.9176 9.19500i 1.13059 0.306500i
\(901\) −11.8899 + 20.5938i −0.396109 + 0.686080i
\(902\) −1.40647 + 8.88013i −0.0468305 + 0.295676i
\(903\) 35.2250 + 36.1137i 1.17221 + 1.20179i
\(904\) 2.13575 + 0.693948i 0.0710340 + 0.0230804i
\(905\) 12.4329 8.73676i 0.413285 0.290420i
\(906\) 17.8686 6.67653i 0.593646 0.221813i
\(907\) −2.23390 + 8.33704i −0.0741755 + 0.276827i −0.993045 0.117735i \(-0.962437\pi\)
0.918870 + 0.394561i \(0.129103\pi\)
\(908\) 28.9182 + 44.5301i 0.959683 + 1.47778i
\(909\) −0.0682291 + 3.81690i −0.00226302 + 0.126598i
\(910\) −26.2238 + 28.0179i −0.869310 + 0.928785i
\(911\) −11.2040 15.4210i −0.371206 0.510921i 0.582022 0.813173i \(-0.302262\pi\)
−0.953228 + 0.302252i \(0.902262\pi\)
\(912\) 20.1495 17.8192i 0.667217 0.590054i
\(913\) 12.7329 + 15.7239i 0.421399 + 0.520384i
\(914\) −62.5082 27.8304i −2.06759 0.920549i
\(915\) 0.578267 + 0.442373i 0.0191169 + 0.0146244i
\(916\) −18.9925 13.7988i −0.627529 0.455926i
\(917\) −24.2546 + 26.7475i −0.800958 + 0.883281i
\(918\) −43.8573 + 57.0813i −1.44751 + 1.88396i
\(919\) −9.13077 + 42.9569i −0.301196 + 1.41702i 0.523782 + 0.851852i \(0.324521\pi\)
−0.824978 + 0.565165i \(0.808813\pi\)
\(920\) −6.87799 + 5.99923i −0.226761 + 0.197789i
\(921\) 12.5343 45.1602i 0.413018 1.48808i
\(922\) −1.97259 + 37.6392i −0.0649637 + 1.23958i
\(923\) 17.5579 + 2.78090i 0.577925 + 0.0915344i
\(924\) 3.46200 15.3450i 0.113891 0.504812i
\(925\) 15.3323 3.59397i 0.504122 0.118169i
\(926\) −20.4416 11.8020i −0.671753 0.387837i
\(927\) 13.5639 20.0910i 0.445495 0.659876i
\(928\) 21.1189 32.5202i 0.693262 1.06753i
\(929\) −12.9888 14.4255i −0.426148 0.473286i 0.491386 0.870942i \(-0.336490\pi\)
−0.917535 + 0.397656i \(0.869824\pi\)
\(930\) −44.6291 + 65.1404i −1.46345 + 2.13604i
\(931\) 32.4133 10.2800i 1.06230 0.336914i
\(932\) −16.4692 + 16.4692i −0.539466 + 0.539466i
\(933\) 6.70471 0.644168i 0.219503 0.0210891i
\(934\) −85.4165 8.97763i −2.79491 0.293757i
\(935\) −1.48284 + 21.7295i −0.0484942 + 0.710632i
\(936\) 4.37430 + 5.03633i 0.142979 + 0.164618i
\(937\) 3.43856 + 21.7102i 0.112333 + 0.709242i 0.977997 + 0.208617i \(0.0668964\pi\)
−0.865664 + 0.500625i \(0.833104\pi\)
\(938\) 8.73966 + 19.8170i 0.285360 + 0.647049i
\(939\) −15.2375 + 2.27398i −0.497256 + 0.0742086i
\(940\) 22.7811 11.1584i 0.743037 0.363948i
\(941\) 30.3600 + 3.19096i 0.989707 + 0.104022i 0.585523 0.810655i \(-0.300889\pi\)
0.404184 + 0.914678i \(0.367556\pi\)
\(942\) 23.0212 + 10.4972i 0.750070 + 0.342017i
\(943\) 4.35433 + 16.2506i 0.141796 + 0.529192i
\(944\) −9.98400 30.7276i −0.324952 1.00010i
\(945\) −7.77046 + 29.7426i −0.252773 + 0.967526i
\(946\) 10.3873 31.9689i 0.337721 1.03940i
\(947\) 9.51917 + 0.498878i 0.309331 + 0.0162114i 0.206370 0.978474i \(-0.433835\pi\)
0.102961 + 0.994685i \(0.467168\pi\)
\(948\) −4.51983 + 39.5961i −0.146797 + 1.28602i
\(949\) 32.6627 18.8578i 1.06027 0.612150i
\(950\) 14.6363 48.4542i 0.474865 1.57206i
\(951\) 21.0730 + 10.9755i 0.683339 + 0.355906i
\(952\) −7.34928 10.1907i −0.238192 0.330281i
\(953\) 37.0523 18.8791i 1.20024 0.611553i 0.264549 0.964372i \(-0.414777\pi\)
0.935692 + 0.352819i \(0.114777\pi\)
\(954\) 21.7883 + 5.03987i 0.705422 + 0.163172i
\(955\) −16.8380 + 14.6867i −0.544864 + 0.475251i
\(956\) −34.6360 31.1864i −1.12021 1.00864i
\(957\) −2.63499 + 11.8739i −0.0851771 + 0.383827i
\(958\) 31.7441 + 16.1744i 1.02560 + 0.522572i
\(959\) 2.48992 + 16.0870i 0.0804037 + 0.519478i
\(960\) −40.1996 5.23237i −1.29744 0.168874i
\(961\) −6.76451 64.3600i −0.218210 2.07613i
\(962\) 12.8572 + 15.8773i 0.414532 + 0.511904i
\(963\) 21.6361 + 6.21390i 0.697214 + 0.200240i
\(964\) −42.4122 + 4.45770i −1.36600 + 0.143573i
\(965\) 0.0694086 + 1.89637i 0.00223434 + 0.0610463i
\(966\) −10.6788 53.5090i −0.343585 1.72162i
\(967\) −2.83548 + 5.56495i −0.0911829 + 0.178957i −0.932094 0.362217i \(-0.882020\pi\)
0.840911 + 0.541174i \(0.182020\pi\)
\(968\) 6.10883 1.63686i 0.196345 0.0526106i
\(969\) 19.5772 + 52.3952i 0.628910 + 1.68318i
\(970\) −2.61767 29.3527i −0.0840482 0.942460i
\(971\) −25.0089 + 22.5181i −0.802573 + 0.722640i −0.964477 0.264167i \(-0.914903\pi\)
0.161904 + 0.986806i \(0.448236\pi\)
\(972\) 34.1943 + 12.8257i 1.09678 + 0.411385i
\(973\) −2.10939 20.7726i −0.0676239 0.665939i
\(974\) 77.7708 2.49194
\(975\) −25.7345 8.02515i −0.824163 0.257010i
\(976\) −0.300488 0.520461i −0.00961840 0.0166596i
\(977\) 30.6845 11.7787i 0.981683 0.376833i 0.186002 0.982549i \(-0.440447\pi\)
0.795680 + 0.605717i \(0.207113\pi\)
\(978\) −55.5667 32.7470i −1.77683 1.04713i
\(979\) 5.31229 + 1.72607i 0.169781 + 0.0551653i
\(980\) −31.3310 19.0550i −1.00083 0.608689i
\(981\) −28.4698 + 37.7477i −0.908972 + 1.20519i
\(982\) 13.0351 3.49274i 0.415966 0.111458i
\(983\) −6.57886 + 0.344783i −0.209833 + 0.0109969i −0.156963 0.987605i \(-0.550170\pi\)
−0.0528701 + 0.998601i \(0.516837\pi\)
\(984\) 2.01149 3.03764i 0.0641239 0.0968364i
\(985\) −20.8400 + 20.1926i −0.664017 + 0.643390i
\(986\) 39.0249 + 53.7131i 1.24281 + 1.71058i
\(987\) −1.43729 + 22.1436i −0.0457494 + 0.704838i
\(988\) 34.9888 5.54168i 1.11314 0.176304i
\(989\) −6.57479 62.5550i −0.209066 1.98913i
\(990\) 19.9522 4.63277i 0.634123 0.147239i
\(991\) 1.73145 16.4736i 0.0550013 0.523302i −0.931985 0.362497i \(-0.881924\pi\)
0.986986 0.160805i \(-0.0514090\pi\)
\(992\) 66.3859 43.1115i 2.10775 1.36879i
\(993\) 3.51775 + 11.1651i 0.111633 + 0.354313i
\(994\) 1.53727 + 31.4507i 0.0487593 + 0.997557i
\(995\) 8.40499 + 7.81146i 0.266456 + 0.247640i
\(996\) −14.0183 54.2518i −0.444187 1.71903i
\(997\) −34.6919 22.5292i −1.09870 0.713506i −0.137819 0.990457i \(-0.544009\pi\)
−0.960884 + 0.276951i \(0.910676\pi\)
\(998\) −7.70885 20.0822i −0.244019 0.635692i
\(999\) 15.1159 + 6.27240i 0.478247 + 0.198450i
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 525.2.bs.a.2.12 1216
3.2 odd 2 inner 525.2.bs.a.2.65 yes 1216
7.4 even 3 inner 525.2.bs.a.452.65 yes 1216
21.11 odd 6 inner 525.2.bs.a.452.12 yes 1216
25.13 odd 20 inner 525.2.bs.a.338.12 yes 1216
75.38 even 20 inner 525.2.bs.a.338.65 yes 1216
175.88 odd 60 inner 525.2.bs.a.263.65 yes 1216
525.263 even 60 inner 525.2.bs.a.263.12 yes 1216
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
525.2.bs.a.2.12 1216 1.1 even 1 trivial
525.2.bs.a.2.65 yes 1216 3.2 odd 2 inner
525.2.bs.a.263.12 yes 1216 525.263 even 60 inner
525.2.bs.a.263.65 yes 1216 175.88 odd 60 inner
525.2.bs.a.338.12 yes 1216 25.13 odd 20 inner
525.2.bs.a.338.65 yes 1216 75.38 even 20 inner
525.2.bs.a.452.12 yes 1216 21.11 odd 6 inner
525.2.bs.a.452.65 yes 1216 7.4 even 3 inner