Properties

Label 637.2.bl.b.534.22
Level $637$
Weight $2$
Character 637.534
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [637,2,Mod(53,637)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(637, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([10, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("637.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 534.22
Character \(\chi\) \(=\) 637.534
Dual form 637.2.bl.b.235.22

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.40276 - 0.211433i) q^{2} +(0.102437 + 0.0698406i) q^{3} +(0.0118965 - 0.00366960i) q^{4} +(-0.300677 + 4.01226i) q^{5} +(0.158462 + 0.0763113i) q^{6} +(-2.12848 + 1.57148i) q^{7} +(-2.54033 + 1.22336i) q^{8} +(-1.09041 - 2.77831i) q^{9} +O(q^{10})\) \(q+(1.40276 - 0.211433i) q^{2} +(0.102437 + 0.0698406i) q^{3} +(0.0118965 - 0.00366960i) q^{4} +(-0.300677 + 4.01226i) q^{5} +(0.158462 + 0.0763113i) q^{6} +(-2.12848 + 1.57148i) q^{7} +(-2.54033 + 1.22336i) q^{8} +(-1.09041 - 2.77831i) q^{9} +(0.426543 + 5.69183i) q^{10} +(1.89016 - 4.81604i) q^{11} +(0.00147494 + 0.000454958i) q^{12} +(0.623490 + 0.781831i) q^{13} +(-2.65350 + 2.65445i) q^{14} +(-0.311019 + 0.390006i) q^{15} +(-3.32540 + 2.26722i) q^{16} +(-5.69421 + 5.28345i) q^{17} +(-2.11701 - 3.66677i) q^{18} +(-1.02653 + 1.77801i) q^{19} +(0.0111464 + 0.0488354i) q^{20} +(-0.327789 + 0.0123238i) q^{21} +(1.63318 - 7.15541i) q^{22} +(3.63941 + 3.37688i) q^{23} +(-0.345665 - 0.0521006i) q^{24} +(-11.0637 - 1.66758i) q^{25} +(1.03991 + 0.964899i) q^{26} +(0.165105 - 0.723373i) q^{27} +(-0.0195549 + 0.0265059i) q^{28} +(0.896286 + 3.92689i) q^{29} +(-0.353827 + 0.612846i) q^{30} +(2.31386 + 4.00773i) q^{31} +(-0.0516250 + 0.0479010i) q^{32} +(0.529978 - 0.361333i) q^{33} +(-6.87053 + 8.61537i) q^{34} +(-5.66521 - 9.01254i) q^{35} +(-0.0231674 - 0.0290510i) q^{36} +(0.738392 + 0.227764i) q^{37} +(-1.06405 + 2.71117i) q^{38} +(0.00926506 + 0.123634i) q^{39} +(-4.14462 - 10.5603i) q^{40} +(-2.99562 + 1.44262i) q^{41} +(-0.457205 + 0.0865928i) q^{42} +(2.98655 + 1.43825i) q^{43} +(0.00481340 - 0.0642304i) q^{44} +(11.4752 - 3.53962i) q^{45} +(5.81922 + 3.96748i) q^{46} +(3.76008 - 0.566741i) q^{47} -0.498989 q^{48} +(2.06089 - 6.68975i) q^{49} -15.8723 q^{50} +(-0.952299 + 0.143536i) q^{51} +(0.0102864 + 0.00701314i) q^{52} +(7.50905 - 2.31623i) q^{53} +(0.0786589 - 1.04963i) q^{54} +(18.7549 + 9.03188i) q^{55} +(3.48457 - 6.59599i) q^{56} +(-0.229332 + 0.110441i) q^{57} +(2.08755 + 5.31899i) q^{58} +(-0.0920752 - 1.22866i) q^{59} +(-0.00226889 + 0.00578104i) q^{60} +(8.62818 + 2.66144i) q^{61} +(4.09317 + 5.13267i) q^{62} +(6.68698 + 4.20004i) q^{63} +(4.95648 - 6.21523i) q^{64} +(-3.32438 + 2.26652i) q^{65} +(0.667036 - 0.618919i) q^{66} +(-0.288736 - 0.500105i) q^{67} +(-0.0483532 + 0.0837503i) q^{68} +(0.136968 + 0.600097i) q^{69} +(-9.85249 - 11.4447i) q^{70} +(-1.12923 + 4.94750i) q^{71} +(6.16887 + 5.72388i) q^{72} +(-5.81137 - 0.875923i) q^{73} +(1.08395 + 0.163379i) q^{74} +(-1.01687 - 0.943517i) q^{75} +(-0.00568762 + 0.0249191i) q^{76} +(3.54515 + 13.2212i) q^{77} +(0.0391369 + 0.171470i) q^{78} +(-6.37906 + 11.0489i) q^{79} +(-8.09680 - 14.0241i) q^{80} +(-6.49623 + 6.02762i) q^{81} +(-3.89714 + 2.65702i) q^{82} +(9.72033 - 12.1889i) q^{83} +(-0.00385434 + 0.00134947i) q^{84} +(-19.4865 - 24.4353i) q^{85} +(4.49352 + 1.38607i) q^{86} +(-0.182443 + 0.464857i) q^{87} +(1.09012 + 14.5467i) q^{88} +(1.54024 + 3.92446i) q^{89} +(15.3486 - 7.39148i) q^{90} +(-2.55572 - 0.684313i) q^{91} +(0.0556882 + 0.0268180i) q^{92} +(-0.0428762 + 0.572143i) q^{93} +(5.15467 - 1.59001i) q^{94} +(-6.82517 - 4.65333i) q^{95} +(-0.00863377 + 0.00130133i) q^{96} +3.54214 q^{97} +(1.47651 - 9.81988i) q^{98} -15.4415 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} - 5 q^{10} + 2 q^{11} - 40 q^{12} - 58 q^{13} - 45 q^{14} - 14 q^{15} + 27 q^{16} - 12 q^{17} - 59 q^{18} - 24 q^{19} - 99 q^{20} - 2 q^{21} - 10 q^{22} - 14 q^{23} + 28 q^{25} + 3 q^{26} - 9 q^{27} - 37 q^{28} - 26 q^{29} - 83 q^{30} - 49 q^{31} + 33 q^{32} + 2 q^{33} - 130 q^{34} - 38 q^{35} - 74 q^{36} - 4 q^{37} + 92 q^{38} + 24 q^{40} + 20 q^{41} - 52 q^{42} + 2 q^{43} + 226 q^{44} - 23 q^{45} + 71 q^{46} + 24 q^{47} + 86 q^{48} + 25 q^{49} + 114 q^{50} - 54 q^{51} + 31 q^{52} + 36 q^{53} + 75 q^{54} + 38 q^{55} + 126 q^{56} + 27 q^{57} - 33 q^{58} + q^{59} - 179 q^{60} - 15 q^{61} + 158 q^{62} - 5 q^{63} - 24 q^{64} + q^{65} - 150 q^{66} - 151 q^{67} + 140 q^{68} - 98 q^{69} - 126 q^{70} - 31 q^{71} - 149 q^{72} - 9 q^{73} + 39 q^{74} + 85 q^{75} - 81 q^{76} + 46 q^{77} - 25 q^{78} - 69 q^{79} - 64 q^{80} + 71 q^{81} - 52 q^{82} - q^{83} - 47 q^{84} + 62 q^{85} + 97 q^{86} + 150 q^{87} - 12 q^{88} + 23 q^{89} + 107 q^{90} - q^{91} - 43 q^{92} + 316 q^{93} - 86 q^{94} - 29 q^{95} + 177 q^{96} + 114 q^{97} - 336 q^{98} + 102 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40276 0.211433i 0.991904 0.149505i 0.367011 0.930216i \(-0.380381\pi\)
0.624892 + 0.780711i \(0.285143\pi\)
\(3\) 0.102437 + 0.0698406i 0.0591422 + 0.0403225i 0.592530 0.805548i \(-0.298129\pi\)
−0.533388 + 0.845871i \(0.679081\pi\)
\(4\) 0.0118965 0.00366960i 0.00594827 0.00183480i
\(5\) −0.300677 + 4.01226i −0.134467 + 1.79434i 0.368086 + 0.929792i \(0.380013\pi\)
−0.502553 + 0.864546i \(0.667606\pi\)
\(6\) 0.158462 + 0.0763113i 0.0646918 + 0.0311539i
\(7\) −2.12848 + 1.57148i −0.804491 + 0.593964i
\(8\) −2.54033 + 1.22336i −0.898143 + 0.432523i
\(9\) −1.09041 2.77831i −0.363469 0.926104i
\(10\) 0.426543 + 5.69183i 0.134885 + 1.79991i
\(11\) 1.89016 4.81604i 0.569904 1.45209i −0.297615 0.954686i \(-0.596191\pi\)
0.867518 0.497405i \(-0.165714\pi\)
\(12\) 0.00147494 0.000454958i 0.000425778 0.000131335i
\(13\) 0.623490 + 0.781831i 0.172925 + 0.216841i
\(14\) −2.65350 + 2.65445i −0.709177 + 0.709431i
\(15\) −0.311019 + 0.390006i −0.0803048 + 0.100699i
\(16\) −3.32540 + 2.26722i −0.831350 + 0.566805i
\(17\) −5.69421 + 5.28345i −1.38105 + 1.28142i −0.462220 + 0.886765i \(0.652947\pi\)
−0.918827 + 0.394660i \(0.870862\pi\)
\(18\) −2.11701 3.66677i −0.498984 0.864266i
\(19\) −1.02653 + 1.77801i −0.235503 + 0.407903i −0.959419 0.281985i \(-0.909007\pi\)
0.723916 + 0.689888i \(0.242340\pi\)
\(20\) 0.0111464 + 0.0488354i 0.00249240 + 0.0109199i
\(21\) −0.327789 + 0.0123238i −0.0715295 + 0.00268927i
\(22\) 1.63318 7.15541i 0.348194 1.52554i
\(23\) 3.63941 + 3.37688i 0.758870 + 0.704128i 0.961402 0.275147i \(-0.0887266\pi\)
−0.202532 + 0.979276i \(0.564917\pi\)
\(24\) −0.345665 0.0521006i −0.0705586 0.0106350i
\(25\) −11.0637 1.66758i −2.21274 0.333516i
\(26\) 1.03991 + 0.964899i 0.203944 + 0.189232i
\(27\) 0.165105 0.723373i 0.0317745 0.139213i
\(28\) −0.0195549 + 0.0265059i −0.00369553 + 0.00500914i
\(29\) 0.896286 + 3.92689i 0.166436 + 0.729204i 0.987403 + 0.158228i \(0.0505781\pi\)
−0.820967 + 0.570976i \(0.806565\pi\)
\(30\) −0.353827 + 0.612846i −0.0645996 + 0.111890i
\(31\) 2.31386 + 4.00773i 0.415582 + 0.719810i 0.995489 0.0948730i \(-0.0302445\pi\)
−0.579907 + 0.814683i \(0.696911\pi\)
\(32\) −0.0516250 + 0.0479010i −0.00912611 + 0.00846779i
\(33\) 0.529978 0.361333i 0.0922573 0.0629000i
\(34\) −6.87053 + 8.61537i −1.17829 + 1.47752i
\(35\) −5.66521 9.01254i −0.957595 1.52340i
\(36\) −0.0231674 0.0290510i −0.00386123 0.00484183i
\(37\) 0.738392 + 0.227764i 0.121391 + 0.0374442i 0.354855 0.934921i \(-0.384530\pi\)
−0.233465 + 0.972365i \(0.575006\pi\)
\(38\) −1.06405 + 2.71117i −0.172612 + 0.439809i
\(39\) 0.00926506 + 0.123634i 0.00148360 + 0.0197972i
\(40\) −4.14462 10.5603i −0.655321 1.66973i
\(41\) −2.99562 + 1.44262i −0.467838 + 0.225299i −0.652924 0.757423i \(-0.726458\pi\)
0.185086 + 0.982722i \(0.440744\pi\)
\(42\) −0.457205 + 0.0865928i −0.0705483 + 0.0133616i
\(43\) 2.98655 + 1.43825i 0.455445 + 0.219331i 0.647518 0.762050i \(-0.275807\pi\)
−0.192073 + 0.981381i \(0.561521\pi\)
\(44\) 0.00481340 0.0642304i 0.000725647 0.00968309i
\(45\) 11.4752 3.53962i 1.71062 0.527656i
\(46\) 5.81922 + 3.96748i 0.857997 + 0.584972i
\(47\) 3.76008 0.566741i 0.548464 0.0826676i 0.131036 0.991378i \(-0.458170\pi\)
0.417428 + 0.908710i \(0.362932\pi\)
\(48\) −0.498989 −0.0720229
\(49\) 2.06089 6.68975i 0.294413 0.955678i
\(50\) −15.8723 −2.24468
\(51\) −0.952299 + 0.143536i −0.133348 + 0.0200990i
\(52\) 0.0102864 + 0.00701314i 0.00142646 + 0.000972547i
\(53\) 7.50905 2.31623i 1.03145 0.318159i 0.267582 0.963535i \(-0.413775\pi\)
0.763865 + 0.645376i \(0.223299\pi\)
\(54\) 0.0786589 1.04963i 0.0107041 0.142837i
\(55\) 18.7549 + 9.03188i 2.52891 + 1.21786i
\(56\) 3.48457 6.59599i 0.465645 0.881426i
\(57\) −0.229332 + 0.110441i −0.0303758 + 0.0146282i
\(58\) 2.08755 + 5.31899i 0.274109 + 0.698417i
\(59\) −0.0920752 1.22866i −0.0119872 0.159958i −0.999985 0.00548947i \(-0.998253\pi\)
0.987998 0.154468i \(-0.0493664\pi\)
\(60\) −0.00226889 + 0.00578104i −0.000292912 + 0.000746329i
\(61\) 8.62818 + 2.66144i 1.10473 + 0.340763i 0.792885 0.609372i \(-0.208578\pi\)
0.311841 + 0.950134i \(0.399054\pi\)
\(62\) 4.09317 + 5.13267i 0.519833 + 0.651850i
\(63\) 6.68698 + 4.20004i 0.842481 + 0.529155i
\(64\) 4.95648 6.21523i 0.619561 0.776904i
\(65\) −3.32438 + 2.26652i −0.412339 + 0.281128i
\(66\) 0.667036 0.618919i 0.0821065 0.0761837i
\(67\) −0.288736 0.500105i −0.0352747 0.0610976i 0.847849 0.530238i \(-0.177897\pi\)
−0.883124 + 0.469140i \(0.844564\pi\)
\(68\) −0.0483532 + 0.0837503i −0.00586369 + 0.0101562i
\(69\) 0.136968 + 0.600097i 0.0164890 + 0.0722432i
\(70\) −9.85249 11.4447i −1.17760 1.36790i
\(71\) −1.12923 + 4.94750i −0.134015 + 0.587160i 0.862667 + 0.505772i \(0.168792\pi\)
−0.996683 + 0.0813878i \(0.974065\pi\)
\(72\) 6.16887 + 5.72388i 0.727008 + 0.674565i
\(73\) −5.81137 0.875923i −0.680170 0.102519i −0.200135 0.979768i \(-0.564138\pi\)
−0.480035 + 0.877249i \(0.659376\pi\)
\(74\) 1.08395 + 0.163379i 0.126006 + 0.0189924i
\(75\) −1.01687 0.943517i −0.117418 0.108948i
\(76\) −0.00568762 + 0.0249191i −0.000652415 + 0.00285842i
\(77\) 3.54515 + 13.2212i 0.404008 + 1.50670i
\(78\) 0.0391369 + 0.171470i 0.00443138 + 0.0194151i
\(79\) −6.37906 + 11.0489i −0.717700 + 1.24309i 0.244208 + 0.969723i \(0.421472\pi\)
−0.961909 + 0.273371i \(0.911861\pi\)
\(80\) −8.09680 14.0241i −0.905250 1.56794i
\(81\) −6.49623 + 6.02762i −0.721803 + 0.669736i
\(82\) −3.89714 + 2.65702i −0.430367 + 0.293419i
\(83\) 9.72033 12.1889i 1.06694 1.33791i 0.128797 0.991671i \(-0.458888\pi\)
0.938148 0.346236i \(-0.112540\pi\)
\(84\) −0.00385434 + 0.00134947i −0.000420543 + 0.000147239i
\(85\) −19.4865 24.4353i −2.11360 2.65038i
\(86\) 4.49352 + 1.38607i 0.484549 + 0.149464i
\(87\) −0.182443 + 0.464857i −0.0195599 + 0.0498379i
\(88\) 1.09012 + 14.5467i 0.116208 + 1.55068i
\(89\) 1.54024 + 3.92446i 0.163265 + 0.415992i 0.988971 0.148108i \(-0.0473184\pi\)
−0.825706 + 0.564100i \(0.809223\pi\)
\(90\) 15.3486 7.39148i 1.61788 0.779131i
\(91\) −2.55572 0.684313i −0.267912 0.0717355i
\(92\) 0.0556882 + 0.0268180i 0.00580590 + 0.00279597i
\(93\) −0.0428762 + 0.572143i −0.00444605 + 0.0593285i
\(94\) 5.15467 1.59001i 0.531664 0.163997i
\(95\) −6.82517 4.65333i −0.700248 0.477421i
\(96\) −0.00863377 + 0.00130133i −0.000881180 + 0.000132817i
\(97\) 3.54214 0.359649 0.179825 0.983699i \(-0.442447\pi\)
0.179825 + 0.983699i \(0.442447\pi\)
\(98\) 1.47651 9.81988i 0.149150 0.991957i
\(99\) −15.4415 −1.55193
\(100\) −0.137739 + 0.0207608i −0.0137739 + 0.00207608i
\(101\) −8.22918 5.61056i −0.818834 0.558272i 0.0798810 0.996804i \(-0.474546\pi\)
−0.898715 + 0.438533i \(0.855498\pi\)
\(102\) −1.30550 + 0.402694i −0.129264 + 0.0398726i
\(103\) −0.803134 + 10.7171i −0.0791352 + 1.05599i 0.806387 + 0.591388i \(0.201420\pi\)
−0.885522 + 0.464597i \(0.846199\pi\)
\(104\) −2.54033 1.22336i −0.249100 0.119960i
\(105\) 0.0491126 1.31888i 0.00479290 0.128710i
\(106\) 10.0437 4.83679i 0.975530 0.469790i
\(107\) 3.61389 + 9.20804i 0.349368 + 0.890175i 0.992255 + 0.124214i \(0.0396410\pi\)
−0.642888 + 0.765961i \(0.722264\pi\)
\(108\) −0.000690307 0.00921151i −6.64249e−5 0.000886378i
\(109\) 1.01446 2.58481i 0.0971679 0.247580i −0.874022 0.485886i \(-0.838497\pi\)
0.971190 + 0.238306i \(0.0765922\pi\)
\(110\) 28.2183 + 8.70420i 2.69051 + 0.829913i
\(111\) 0.0597318 + 0.0749013i 0.00566949 + 0.00710932i
\(112\) 3.51517 10.0515i 0.332152 0.949782i
\(113\) 10.2783 12.8886i 0.966901 1.21246i −0.0102585 0.999947i \(-0.503265\pi\)
0.977159 0.212508i \(-0.0681631\pi\)
\(114\) −0.298348 + 0.203410i −0.0279429 + 0.0190511i
\(115\) −14.6432 + 13.5869i −1.36549 + 1.26699i
\(116\) 0.0250728 + 0.0434274i 0.00232795 + 0.00403213i
\(117\) 1.49231 2.58476i 0.137965 0.238962i
\(118\) −0.388938 1.70405i −0.0358047 0.156870i
\(119\) 3.81718 20.1941i 0.349920 1.85119i
\(120\) 0.312975 1.37123i 0.0285706 0.125176i
\(121\) −11.5580 10.7242i −1.05073 0.974932i
\(122\) 12.6660 + 1.90910i 1.14673 + 0.172841i
\(123\) −0.407617 0.0614384i −0.0367536 0.00553971i
\(124\) 0.0422337 + 0.0391872i 0.00379270 + 0.00351911i
\(125\) 5.54079 24.2758i 0.495584 2.17129i
\(126\) 10.2683 + 4.47782i 0.914771 + 0.398916i
\(127\) 1.67437 + 7.33590i 0.148576 + 0.650956i 0.993281 + 0.115724i \(0.0369188\pi\)
−0.844705 + 0.535232i \(0.820224\pi\)
\(128\) 5.70910 9.88845i 0.504618 0.874023i
\(129\) 0.205486 + 0.355913i 0.0180921 + 0.0313364i
\(130\) −4.18410 + 3.88228i −0.366970 + 0.340499i
\(131\) −12.2044 + 8.32082i −1.06630 + 0.726994i −0.963500 0.267708i \(-0.913734\pi\)
−0.102804 + 0.994702i \(0.532781\pi\)
\(132\) 0.00497896 0.00624342i 0.000433363 0.000543420i
\(133\) −0.609147 5.39764i −0.0528197 0.468035i
\(134\) −0.510767 0.640481i −0.0441235 0.0553291i
\(135\) 2.85272 + 0.879947i 0.245523 + 0.0757338i
\(136\) 8.00161 20.3878i 0.686133 1.74824i
\(137\) −0.182870 2.44024i −0.0156237 0.208483i −0.999552 0.0299211i \(-0.990474\pi\)
0.983929 0.178562i \(-0.0571446\pi\)
\(138\) 0.319014 + 0.812835i 0.0271563 + 0.0691931i
\(139\) −7.88428 + 3.79687i −0.668736 + 0.322046i −0.737266 0.675603i \(-0.763883\pi\)
0.0685299 + 0.997649i \(0.478169\pi\)
\(140\) −0.100469 0.0864291i −0.00849116 0.00730459i
\(141\) 0.424754 + 0.204551i 0.0357707 + 0.0172263i
\(142\) −0.537986 + 7.17893i −0.0451468 + 0.602442i
\(143\) 4.94383 1.52497i 0.413424 0.127524i
\(144\) 9.92508 + 6.76681i 0.827090 + 0.563901i
\(145\) −16.0252 + 2.41541i −1.33082 + 0.200589i
\(146\) −8.33718 −0.689990
\(147\) 0.678328 0.541346i 0.0559476 0.0446495i
\(148\) 0.00962012 0.000790769
\(149\) −15.9763 + 2.40804i −1.30883 + 0.197275i −0.766149 0.642663i \(-0.777829\pi\)
−0.542683 + 0.839938i \(0.682591\pi\)
\(150\) −1.62592 1.10853i −0.132756 0.0905112i
\(151\) −16.0658 + 4.95564i −1.30741 + 0.403284i −0.868698 0.495342i \(-0.835043\pi\)
−0.438716 + 0.898626i \(0.644567\pi\)
\(152\) 0.432593 5.77255i 0.0350879 0.468215i
\(153\) 20.8881 + 10.0592i 1.68870 + 0.813236i
\(154\) 7.76841 + 17.7967i 0.625996 + 1.43410i
\(155\) −16.7758 + 8.07879i −1.34746 + 0.648904i
\(156\) 0.000563908 0.00143681i 4.51488e−5 0.000115037i
\(157\) 1.26832 + 16.9245i 0.101223 + 1.35072i 0.784302 + 0.620379i \(0.213021\pi\)
−0.683080 + 0.730344i \(0.739360\pi\)
\(158\) −6.61223 + 16.8477i −0.526041 + 1.34033i
\(159\) 0.930974 + 0.287167i 0.0738310 + 0.0227739i
\(160\) −0.176669 0.221536i −0.0139669 0.0175140i
\(161\) −13.0531 1.46837i −1.02873 0.115724i
\(162\) −7.83824 + 9.82884i −0.615830 + 0.772227i
\(163\) 6.15730 4.19797i 0.482277 0.328811i −0.297657 0.954673i \(-0.596205\pi\)
0.779934 + 0.625862i \(0.215253\pi\)
\(164\) −0.0303438 + 0.0281549i −0.00236945 + 0.00219853i
\(165\) 1.29041 + 2.23505i 0.100458 + 0.173999i
\(166\) 11.0582 19.1534i 0.858282 1.48659i
\(167\) −2.74710 12.0358i −0.212577 0.931361i −0.962808 0.270185i \(-0.912915\pi\)
0.750231 0.661175i \(-0.229942\pi\)
\(168\) 0.817618 0.432311i 0.0630806 0.0333535i
\(169\) −0.222521 + 0.974928i −0.0171170 + 0.0749945i
\(170\) −32.5013 30.1568i −2.49274 2.31292i
\(171\) 6.05920 + 0.913277i 0.463359 + 0.0698401i
\(172\) 0.0408075 + 0.00615073i 0.00311154 + 0.000468989i
\(173\) 1.91529 + 1.77713i 0.145617 + 0.135113i 0.749618 0.661871i \(-0.230237\pi\)
−0.604001 + 0.796984i \(0.706428\pi\)
\(174\) −0.157638 + 0.690659i −0.0119505 + 0.0523587i
\(175\) 26.1694 13.8369i 1.97822 1.04598i
\(176\) 4.63349 + 20.3007i 0.349263 + 1.53022i
\(177\) 0.0763783 0.132291i 0.00574094 0.00994360i
\(178\) 2.99035 + 5.17944i 0.224136 + 0.388215i
\(179\) 14.0903 13.0739i 1.05316 0.977190i 0.0533893 0.998574i \(-0.482998\pi\)
0.999771 + 0.0213835i \(0.00680710\pi\)
\(180\) 0.123526 0.0842186i 0.00920708 0.00627728i
\(181\) 12.5003 15.6748i 0.929138 1.16510i −0.0568662 0.998382i \(-0.518111\pi\)
0.986004 0.166720i \(-0.0533177\pi\)
\(182\) −3.72976 0.419567i −0.276468 0.0311004i
\(183\) 0.697971 + 0.875229i 0.0515955 + 0.0646988i
\(184\) −13.3765 4.12609i −0.986125 0.304179i
\(185\) −1.13587 + 2.89414i −0.0835105 + 0.212781i
\(186\) 0.0608245 + 0.811647i 0.00445987 + 0.0595128i
\(187\) 14.6824 + 37.4101i 1.07368 + 2.73570i
\(188\) 0.0426522 0.0205402i 0.00311073 0.00149805i
\(189\) 0.785344 + 1.79915i 0.0571254 + 0.130869i
\(190\) −10.5580 5.08445i −0.765956 0.368865i
\(191\) −1.75560 + 23.4268i −0.127031 + 1.69510i 0.461909 + 0.886927i \(0.347165\pi\)
−0.588939 + 0.808177i \(0.700454\pi\)
\(192\) 0.941805 0.290508i 0.0679689 0.0209656i
\(193\) 16.3407 + 11.1409i 1.17623 + 0.801941i 0.983782 0.179366i \(-0.0574045\pi\)
0.192449 + 0.981307i \(0.438357\pi\)
\(194\) 4.96878 0.748923i 0.356738 0.0537695i
\(195\) −0.498836 −0.0357224
\(196\) −3.12127e−5 0.0871475i −2.22948e−6 0.00622482i
\(197\) −13.5337 −0.964233 −0.482117 0.876107i \(-0.660132\pi\)
−0.482117 + 0.876107i \(0.660132\pi\)
\(198\) −21.6608 + 3.26484i −1.53937 + 0.232022i
\(199\) 15.0846 + 10.2845i 1.06932 + 0.729051i 0.964138 0.265401i \(-0.0855045\pi\)
0.105184 + 0.994453i \(0.466457\pi\)
\(200\) 30.1455 9.29865i 2.13161 0.657514i
\(201\) 0.00535031 0.0713949i 0.000377382 0.00503581i
\(202\) −12.7299 6.13037i −0.895669 0.431332i
\(203\) −8.07876 6.94982i −0.567018 0.487781i
\(204\) −0.0108023 + 0.00520213i −0.000756315 + 0.000364222i
\(205\) −4.88744 12.4530i −0.341354 0.869755i
\(206\) 1.13933 + 15.2033i 0.0793811 + 1.05927i
\(207\) 5.41359 13.7936i 0.376270 0.958722i
\(208\) −3.84594 1.18631i −0.266668 0.0822561i
\(209\) 6.62265 + 8.30454i 0.458098 + 0.574437i
\(210\) −0.209961 1.86046i −0.0144887 0.128384i
\(211\) 7.10999 8.91564i 0.489472 0.613778i −0.474347 0.880338i \(-0.657316\pi\)
0.963818 + 0.266560i \(0.0858871\pi\)
\(212\) 0.0808321 0.0551104i 0.00555157 0.00378500i
\(213\) −0.461212 + 0.427942i −0.0316017 + 0.0293221i
\(214\) 7.01631 + 12.1526i 0.479625 + 0.830735i
\(215\) −6.66862 + 11.5504i −0.454796 + 0.787730i
\(216\) 0.465523 + 2.03959i 0.0316749 + 0.138777i
\(217\) −11.2231 4.89420i −0.761874 0.332240i
\(218\) 0.876538 3.84036i 0.0593667 0.260102i
\(219\) −0.534126 0.495597i −0.0360929 0.0334893i
\(220\) 0.256262 + 0.0386252i 0.0172772 + 0.00260411i
\(221\) −7.68105 1.15773i −0.516683 0.0778775i
\(222\) 0.0996261 + 0.0924396i 0.00668647 + 0.00620414i
\(223\) 5.56423 24.3785i 0.372608 1.63250i −0.346816 0.937933i \(-0.612737\pi\)
0.719424 0.694571i \(-0.244406\pi\)
\(224\) 0.0346075 0.183084i 0.00231231 0.0122328i
\(225\) 7.43086 + 32.5567i 0.495390 + 2.17045i
\(226\) 11.6930 20.2528i 0.777804 1.34720i
\(227\) 3.21169 + 5.56281i 0.213167 + 0.369217i 0.952704 0.303900i \(-0.0982887\pi\)
−0.739537 + 0.673116i \(0.764955\pi\)
\(228\) −0.00232299 + 0.00215542i −0.000153844 + 0.000142746i
\(229\) −12.0514 + 8.21651i −0.796379 + 0.542962i −0.891776 0.452477i \(-0.850540\pi\)
0.0953969 + 0.995439i \(0.469588\pi\)
\(230\) −17.6683 + 22.1553i −1.16501 + 1.46088i
\(231\) −0.560222 + 1.60194i −0.0368599 + 0.105400i
\(232\) −7.08085 8.87911i −0.464881 0.582942i
\(233\) 22.4795 + 6.93400i 1.47268 + 0.454262i 0.924202 0.381904i \(-0.124731\pi\)
0.548478 + 0.836165i \(0.315208\pi\)
\(234\) 1.54686 3.94134i 0.101121 0.257653i
\(235\) 1.14334 + 15.2568i 0.0745833 + 0.995245i
\(236\) −0.00560406 0.0142789i −0.000364793 0.000929478i
\(237\) −1.42511 + 0.686298i −0.0925710 + 0.0445799i
\(238\) 1.08492 29.1346i 0.0703246 1.88852i
\(239\) −12.0285 5.79262i −0.778059 0.374693i 0.00232251 0.999997i \(-0.499261\pi\)
−0.780381 + 0.625304i \(0.784975\pi\)
\(240\) 0.150035 2.00207i 0.00968470 0.129233i
\(241\) −2.44202 + 0.753263i −0.157304 + 0.0485219i −0.372407 0.928069i \(-0.621467\pi\)
0.215103 + 0.976591i \(0.430991\pi\)
\(242\) −18.4806 12.5999i −1.18798 0.809949i
\(243\) −3.28750 + 0.495510i −0.210893 + 0.0317870i
\(244\) 0.112412 0.00719644
\(245\) 26.2214 + 10.2803i 1.67522 + 0.656783i
\(246\) −0.584780 −0.0372842
\(247\) −2.03013 + 0.305994i −0.129174 + 0.0194699i
\(248\) −10.7809 7.35028i −0.684586 0.466743i
\(249\) 1.84701 0.569726i 0.117049 0.0361049i
\(250\) 2.63973 35.2247i 0.166951 2.22781i
\(251\) −10.6805 5.14348i −0.674150 0.324653i 0.0652996 0.997866i \(-0.479200\pi\)
−0.739449 + 0.673212i \(0.764914\pi\)
\(252\) 0.0949644 + 0.0254274i 0.00598220 + 0.00160178i
\(253\) 23.1423 11.1447i 1.45494 0.700663i
\(254\) 3.89980 + 9.93652i 0.244695 + 0.623473i
\(255\) −0.289569 3.86403i −0.0181335 0.241975i
\(256\) 0.109157 0.278126i 0.00682229 0.0173829i
\(257\) −24.0984 7.43336i −1.50321 0.463680i −0.569588 0.821930i \(-0.692897\pi\)
−0.933626 + 0.358250i \(0.883374\pi\)
\(258\) 0.363500 + 0.455815i 0.0226306 + 0.0283778i
\(259\) −1.92958 + 0.675578i −0.119898 + 0.0419784i
\(260\) −0.0312314 + 0.0391630i −0.00193689 + 0.00242878i
\(261\) 9.93280 6.77207i 0.614825 0.419180i
\(262\) −15.3606 + 14.2526i −0.948981 + 0.880526i
\(263\) −1.03470 1.79215i −0.0638022 0.110509i 0.832360 0.554236i \(-0.186989\pi\)
−0.896162 + 0.443727i \(0.853656\pi\)
\(264\) −0.904280 + 1.56626i −0.0556546 + 0.0963965i
\(265\) 7.03554 + 30.8247i 0.432190 + 1.89355i
\(266\) −1.99573 7.44282i −0.122366 0.456348i
\(267\) −0.116309 + 0.509583i −0.00711799 + 0.0311859i
\(268\) −0.00527014 0.00488998i −0.000321925 0.000298703i
\(269\) 8.72640 + 1.31529i 0.532058 + 0.0801948i 0.409576 0.912276i \(-0.365677\pi\)
0.122482 + 0.992471i \(0.460915\pi\)
\(270\) 4.18774 + 0.631200i 0.254858 + 0.0384136i
\(271\) −13.1341 12.1867i −0.797840 0.740288i 0.171718 0.985146i \(-0.445068\pi\)
−0.969559 + 0.244858i \(0.921259\pi\)
\(272\) 6.95677 30.4796i 0.421816 1.84810i
\(273\) −0.214009 0.248592i −0.0129524 0.0150455i
\(274\) −0.772470 3.38441i −0.0466666 0.204460i
\(275\) −28.9432 + 50.1312i −1.74534 + 3.02302i
\(276\) 0.00383157 + 0.00663647i 0.000230633 + 0.000399468i
\(277\) 17.5773 16.3094i 1.05612 0.979936i 0.0562901 0.998414i \(-0.482073\pi\)
0.999829 + 0.0184789i \(0.00588235\pi\)
\(278\) −10.2570 + 6.99310i −0.615174 + 0.419418i
\(279\) 8.61167 10.7987i 0.515567 0.646501i
\(280\) 25.4171 + 15.9643i 1.51896 + 0.954047i
\(281\) 2.64697 + 3.31920i 0.157905 + 0.198007i 0.854490 0.519467i \(-0.173870\pi\)
−0.696585 + 0.717474i \(0.745298\pi\)
\(282\) 0.639078 + 0.197129i 0.0380565 + 0.0117389i
\(283\) 5.50401 14.0240i 0.327180 0.833640i −0.668748 0.743489i \(-0.733170\pi\)
0.995928 0.0901515i \(-0.0287351\pi\)
\(284\) 0.00472134 + 0.0630020i 0.000280160 + 0.00373848i
\(285\) −0.374162 0.953348i −0.0221634 0.0564715i
\(286\) 6.61259 3.18446i 0.391011 0.188301i
\(287\) 4.10909 7.77816i 0.242552 0.459130i
\(288\) 0.189376 + 0.0911989i 0.0111591 + 0.00537394i
\(289\) 3.23871 43.2176i 0.190513 2.54221i
\(290\) −21.9688 + 6.77649i −1.29006 + 0.397929i
\(291\) 0.362847 + 0.247385i 0.0212705 + 0.0145020i
\(292\) −0.0723495 + 0.0109049i −0.00423394 + 0.000638163i
\(293\) −13.0960 −0.765079 −0.382540 0.923939i \(-0.624950\pi\)
−0.382540 + 0.923939i \(0.624950\pi\)
\(294\) 0.837076 0.902801i 0.0488192 0.0526524i
\(295\) 4.95738 0.288630
\(296\) −2.15440 + 0.324723i −0.125222 + 0.0188742i
\(297\) −3.17172 2.16244i −0.184042 0.125478i
\(298\) −21.9019 + 6.75583i −1.26874 + 0.391355i
\(299\) −0.371016 + 4.95086i −0.0214564 + 0.286316i
\(300\) −0.0155596 0.00749309i −0.000898331 0.000432614i
\(301\) −8.61701 + 1.63202i −0.496676 + 0.0940684i
\(302\) −21.4887 + 10.3484i −1.23654 + 0.595484i
\(303\) −0.451131 1.14946i −0.0259168 0.0660349i
\(304\) −0.617500 8.23996i −0.0354160 0.472594i
\(305\) −13.2727 + 33.8183i −0.759993 + 1.93643i
\(306\) 31.4279 + 9.69422i 1.79661 + 0.554181i
\(307\) 3.14836 + 3.94792i 0.179686 + 0.225319i 0.863515 0.504323i \(-0.168258\pi\)
−0.683829 + 0.729643i \(0.739686\pi\)
\(308\) 0.0906916 + 0.144278i 0.00516763 + 0.00822097i
\(309\) −0.830758 + 1.04174i −0.0472602 + 0.0592624i
\(310\) −21.8243 + 14.8796i −1.23954 + 0.845104i
\(311\) −11.4254 + 10.6012i −0.647876 + 0.601141i −0.934096 0.357023i \(-0.883792\pi\)
0.286219 + 0.958164i \(0.407601\pi\)
\(312\) −0.174785 0.302736i −0.00989523 0.0171390i
\(313\) −1.66874 + 2.89035i −0.0943229 + 0.163372i −0.909326 0.416085i \(-0.863402\pi\)
0.815003 + 0.579457i \(0.196735\pi\)
\(314\) 5.35754 + 23.4729i 0.302343 + 1.32465i
\(315\) −18.8623 + 25.5671i −1.06277 + 1.44054i
\(316\) −0.0353439 + 0.154852i −0.00198825 + 0.00871110i
\(317\) −10.2472 9.50800i −0.575539 0.534022i 0.337802 0.941217i \(-0.390317\pi\)
−0.913341 + 0.407195i \(0.866507\pi\)
\(318\) 1.36665 + 0.205990i 0.0766381 + 0.0115513i
\(319\) 20.6062 + 3.10588i 1.15372 + 0.173896i
\(320\) 23.4468 + 21.7555i 1.31072 + 1.21617i
\(321\) −0.272898 + 1.19564i −0.0152317 + 0.0667343i
\(322\) −18.6209 + 0.700085i −1.03770 + 0.0390142i
\(323\) −3.54872 15.5480i −0.197456 0.865112i
\(324\) −0.0551637 + 0.0955464i −0.00306465 + 0.00530813i
\(325\) −5.59432 9.68965i −0.310317 0.537485i
\(326\) 7.74964 7.19062i 0.429213 0.398252i
\(327\) 0.284443 0.193930i 0.0157297 0.0107244i
\(328\) 5.84504 7.32945i 0.322738 0.404701i
\(329\) −7.11265 + 7.11519i −0.392133 + 0.392273i
\(330\) 2.28270 + 2.86242i 0.125659 + 0.157571i
\(331\) 23.9417 + 7.38503i 1.31595 + 0.405918i 0.871725 0.489995i \(-0.163001\pi\)
0.444229 + 0.895913i \(0.353478\pi\)
\(332\) 0.0709099 0.180676i 0.00389169 0.00991586i
\(333\) −0.172349 2.29984i −0.00944468 0.126030i
\(334\) −6.39830 16.3026i −0.350099 0.892039i
\(335\) 2.09337 1.00811i 0.114373 0.0550791i
\(336\) 1.06209 0.784152i 0.0579418 0.0427790i
\(337\) −15.3551 7.39462i −0.836445 0.402811i −0.0339164 0.999425i \(-0.510798\pi\)
−0.802528 + 0.596614i \(0.796512\pi\)
\(338\) −0.106013 + 1.41464i −0.00576633 + 0.0769464i
\(339\) 1.95303 0.602429i 0.106074 0.0327195i
\(340\) −0.321489 0.219188i −0.0174352 0.0118871i
\(341\) 23.6750 3.56843i 1.28207 0.193241i
\(342\) 8.69272 0.470049
\(343\) 6.12624 + 17.4777i 0.330786 + 0.943706i
\(344\) −9.34633 −0.503920
\(345\) −2.44893 + 0.369117i −0.131846 + 0.0198726i
\(346\) 3.06244 + 2.08794i 0.164638 + 0.112248i
\(347\) −5.57270 + 1.71895i −0.299158 + 0.0922780i −0.440701 0.897654i \(-0.645270\pi\)
0.141543 + 0.989932i \(0.454794\pi\)
\(348\) −0.000464602 0.00619968i −2.49053e−5 0.000332338i
\(349\) −2.61616 1.25988i −0.140040 0.0674397i 0.362551 0.931964i \(-0.381906\pi\)
−0.502591 + 0.864524i \(0.667620\pi\)
\(350\) 33.7840 24.9430i 1.80583 1.33326i
\(351\) 0.668497 0.321931i 0.0356817 0.0171834i
\(352\) 0.133114 + 0.339169i 0.00709500 + 0.0180778i
\(353\) −0.707990 9.44747i −0.0376825 0.502838i −0.983830 0.179103i \(-0.942680\pi\)
0.946148 0.323735i \(-0.104939\pi\)
\(354\) 0.0791700 0.201722i 0.00420784 0.0107214i
\(355\) −19.5111 6.01838i −1.03554 0.319423i
\(356\) 0.0327247 + 0.0410355i 0.00173441 + 0.00217488i
\(357\) 1.80139 1.80203i 0.0953396 0.0953737i
\(358\) 17.0011 21.3188i 0.898539 1.12673i
\(359\) 1.06621 0.726931i 0.0562725 0.0383660i −0.534857 0.844943i \(-0.679635\pi\)
0.591130 + 0.806577i \(0.298682\pi\)
\(360\) −24.8205 + 23.0301i −1.30816 + 1.21379i
\(361\) 7.39246 + 12.8041i 0.389077 + 0.673901i
\(362\) 14.2208 24.6311i 0.747426 1.29458i
\(363\) −0.434982 1.90578i −0.0228306 0.100028i
\(364\) −0.0329154 + 0.00123751i −0.00172524 + 6.48632e-5i
\(365\) 5.26178 23.0534i 0.275414 1.20667i
\(366\) 1.16414 + 1.08016i 0.0608506 + 0.0564611i
\(367\) 16.7669 + 2.52720i 0.875225 + 0.131919i 0.571265 0.820766i \(-0.306453\pi\)
0.303960 + 0.952685i \(0.401691\pi\)
\(368\) −19.7586 2.97813i −1.02999 0.155246i
\(369\) 7.27449 + 6.74974i 0.378695 + 0.351378i
\(370\) −0.981436 + 4.29995i −0.0510224 + 0.223544i
\(371\) −12.3430 + 16.7304i −0.640815 + 0.868599i
\(372\) 0.00158946 + 0.00696386i 8.24095e−5 + 0.000361059i
\(373\) −4.38014 + 7.58663i −0.226795 + 0.392821i −0.956856 0.290561i \(-0.906158\pi\)
0.730061 + 0.683382i \(0.239491\pi\)
\(374\) 28.5056 + 49.3732i 1.47399 + 2.55303i
\(375\) 2.26302 2.09978i 0.116862 0.108432i
\(376\) −8.85852 + 6.03964i −0.456843 + 0.311470i
\(377\) −2.51134 + 3.14912i −0.129340 + 0.162188i
\(378\) 1.48205 + 2.35773i 0.0762285 + 0.121269i
\(379\) 13.9696 + 17.5173i 0.717570 + 0.899804i 0.998198 0.0600128i \(-0.0191142\pi\)
−0.280628 + 0.959817i \(0.590543\pi\)
\(380\) −0.0982718 0.0303128i −0.00504124 0.00155502i
\(381\) −0.340826 + 0.868409i −0.0174610 + 0.0444900i
\(382\) 2.49050 + 33.2335i 0.127425 + 1.70037i
\(383\) −3.27819 8.35269i −0.167508 0.426803i 0.822329 0.569013i \(-0.192674\pi\)
−0.989837 + 0.142210i \(0.954579\pi\)
\(384\) 1.27544 0.614219i 0.0650870 0.0313443i
\(385\) −54.1129 + 10.2488i −2.75785 + 0.522325i
\(386\) 25.2777 + 12.1731i 1.28660 + 0.619595i
\(387\) 0.739344 9.86585i 0.0375829 0.501510i
\(388\) 0.0421392 0.0129982i 0.00213929 0.000659884i
\(389\) −1.12199 0.764960i −0.0568871 0.0387850i 0.534543 0.845142i \(-0.320484\pi\)
−0.591430 + 0.806357i \(0.701436\pi\)
\(390\) −0.699749 + 0.105470i −0.0354332 + 0.00534069i
\(391\) −38.5651 −1.95032
\(392\) 2.94862 + 19.5154i 0.148928 + 0.985676i
\(393\) −1.83132 −0.0923778
\(394\) −18.9845 + 2.86146i −0.956427 + 0.144158i
\(395\) −42.4129 28.9166i −2.13402 1.45495i
\(396\) −0.183701 + 0.0566641i −0.00923130 + 0.00284748i
\(397\) −2.81346 + 37.5430i −0.141203 + 1.88423i 0.256255 + 0.966609i \(0.417511\pi\)
−0.397458 + 0.917620i \(0.630108\pi\)
\(398\) 23.3347 + 11.2374i 1.16966 + 0.563279i
\(399\) 0.314575 0.595463i 0.0157484 0.0298104i
\(400\) 40.5719 19.5384i 2.02860 0.976921i
\(401\) −13.1171 33.4217i −0.655035 1.66900i −0.739991 0.672617i \(-0.765170\pi\)
0.0849559 0.996385i \(-0.472925\pi\)
\(402\) −0.00758999 0.101281i −0.000378554 0.00505146i
\(403\) −1.69070 + 4.30783i −0.0842197 + 0.214588i
\(404\) −0.118487 0.0365485i −0.00589497 0.00181836i
\(405\) −22.2311 27.8769i −1.10467 1.38522i
\(406\) −12.8020 8.04084i −0.635353 0.399060i
\(407\) 2.49260 3.12562i 0.123553 0.154931i
\(408\) 2.24356 1.52963i 0.111073 0.0757281i
\(409\) 26.2744 24.3791i 1.29919 1.20547i 0.334401 0.942431i \(-0.391466\pi\)
0.964786 0.263038i \(-0.0847244\pi\)
\(410\) −9.48889 16.4352i −0.468623 0.811679i
\(411\) 0.151695 0.262743i 0.00748255 0.0129602i
\(412\) 0.0297729 + 0.130443i 0.00146680 + 0.00642649i
\(413\) 2.12679 + 2.47048i 0.104653 + 0.121565i
\(414\) 4.67757 20.4938i 0.229890 1.00721i
\(415\) 45.9824 + 42.6654i 2.25719 + 2.09436i
\(416\) −0.0696382 0.0104963i −0.00341430 0.000514622i
\(417\) −1.07282 0.161702i −0.0525362 0.00791856i
\(418\) 11.0459 + 10.2491i 0.540271 + 0.501298i
\(419\) −5.57728 + 24.4357i −0.272468 + 1.19376i 0.634621 + 0.772823i \(0.281156\pi\)
−0.907089 + 0.420938i \(0.861701\pi\)
\(420\) −0.00425550 0.0158704i −0.000207647 0.000774395i
\(421\) 1.09159 + 4.78257i 0.0532009 + 0.233088i 0.994537 0.104381i \(-0.0332862\pi\)
−0.941336 + 0.337469i \(0.890429\pi\)
\(422\) 8.08857 14.0098i 0.393746 0.681987i
\(423\) −5.67460 9.82870i −0.275908 0.477888i
\(424\) −16.2419 + 15.0703i −0.788776 + 0.731877i
\(425\) 71.8095 48.9589i 3.48327 2.37485i
\(426\) −0.556490 + 0.697817i −0.0269620 + 0.0338093i
\(427\) −22.5474 + 7.89420i −1.09114 + 0.382027i
\(428\) 0.0767826 + 0.0962823i 0.00371143 + 0.00465398i
\(429\) 0.612937 + 0.189066i 0.0295929 + 0.00912820i
\(430\) −6.91237 + 17.6124i −0.333344 + 0.849346i
\(431\) −0.794564 10.6027i −0.0382728 0.510715i −0.983091 0.183119i \(-0.941381\pi\)
0.944818 0.327596i \(-0.106238\pi\)
\(432\) 1.09100 + 2.77983i 0.0524910 + 0.133745i
\(433\) 16.5808 7.98491i 0.796824 0.383730i 0.00925541 0.999957i \(-0.497054\pi\)
0.787569 + 0.616227i \(0.211340\pi\)
\(434\) −16.7781 4.49247i −0.805377 0.215646i
\(435\) −1.81027 0.871780i −0.0867958 0.0417987i
\(436\) 0.00258339 0.0344729i 0.000123722 0.00165095i
\(437\) −9.74010 + 3.00442i −0.465932 + 0.143721i
\(438\) −0.854038 0.582274i −0.0408075 0.0278221i
\(439\) 24.6912 3.72160i 1.17845 0.177622i 0.469532 0.882916i \(-0.344423\pi\)
0.708916 + 0.705293i \(0.249185\pi\)
\(440\) −58.6929 −2.79807
\(441\) −20.8334 + 1.56875i −0.992068 + 0.0747025i
\(442\) −11.0195 −0.524143
\(443\) 0.650488 0.0980453i 0.0309056 0.00465827i −0.133571 0.991039i \(-0.542645\pi\)
0.164477 + 0.986381i \(0.447406\pi\)
\(444\) 0.000985459 0 0.000671875i 4.67678e−5 0 3.18858e-5i
\(445\) −16.2091 + 4.99984i −0.768384 + 0.237015i
\(446\) 2.65089 35.3737i 0.125523 1.67499i
\(447\) −1.80475 0.869122i −0.0853618 0.0411081i
\(448\) −0.782671 + 21.0181i −0.0369777 + 0.993010i
\(449\) −33.9786 + 16.3632i −1.60355 + 0.772229i −0.999691 0.0248631i \(-0.992085\pi\)
−0.603858 + 0.797092i \(0.706371\pi\)
\(450\) 17.3073 + 44.0982i 0.815873 + 2.07881i
\(451\) 1.28550 + 17.1538i 0.0605319 + 0.807742i
\(452\) 0.0749803 0.191047i 0.00352678 0.00898608i
\(453\) −1.99184 0.614401i −0.0935848 0.0288671i
\(454\) 5.68140 + 7.12425i 0.266641 + 0.334358i
\(455\) 3.51409 10.0485i 0.164743 0.471079i
\(456\) 0.447472 0.561112i 0.0209548 0.0262765i
\(457\) 8.70214 5.93302i 0.407069 0.277535i −0.342426 0.939545i \(-0.611249\pi\)
0.749495 + 0.662010i \(0.230296\pi\)
\(458\) −15.1680 + 14.0739i −0.708756 + 0.657629i
\(459\) 2.88176 + 4.99136i 0.134509 + 0.232977i
\(460\) −0.124345 + 0.215372i −0.00579762 + 0.0100418i
\(461\) 3.94517 + 17.2849i 0.183745 + 0.805039i 0.979827 + 0.199850i \(0.0640454\pi\)
−0.796082 + 0.605189i \(0.793097\pi\)
\(462\) −0.447156 + 2.36559i −0.0208036 + 0.110057i
\(463\) −1.96800 + 8.62236i −0.0914606 + 0.400715i −0.999848 0.0174138i \(-0.994457\pi\)
0.908388 + 0.418129i \(0.137314\pi\)
\(464\) −11.8836 11.0264i −0.551683 0.511887i
\(465\) −2.28269 0.344061i −0.105857 0.0159554i
\(466\) 32.9995 + 4.97387i 1.52867 + 0.230410i
\(467\) 4.37882 + 4.06295i 0.202627 + 0.188011i 0.774959 0.632012i \(-0.217770\pi\)
−0.572332 + 0.820022i \(0.693961\pi\)
\(468\) 0.00826834 0.0362260i 0.000382204 0.00167455i
\(469\) 1.40048 + 0.610723i 0.0646679 + 0.0282006i
\(470\) 4.82963 + 21.1600i 0.222774 + 0.976037i
\(471\) −1.05209 + 1.82228i −0.0484779 + 0.0839663i
\(472\) 1.73699 + 3.00856i 0.0799515 + 0.138480i
\(473\) 12.5717 11.6648i 0.578048 0.536350i
\(474\) −1.85399 + 1.26403i −0.0851566 + 0.0580588i
\(475\) 14.3222 17.9595i 0.657148 0.824037i
\(476\) −0.0286929 0.254247i −0.00131514 0.0116534i
\(477\) −14.6231 18.3368i −0.669548 0.839586i
\(478\) −18.0979 5.58246i −0.827778 0.255336i
\(479\) 1.04706 2.66786i 0.0478412 0.121897i −0.904956 0.425506i \(-0.860096\pi\)
0.952797 + 0.303608i \(0.0981914\pi\)
\(480\) −0.00262530 0.0350322i −0.000119828 0.00159899i
\(481\) 0.282307 + 0.719307i 0.0128721 + 0.0327976i
\(482\) −3.26631 + 1.57297i −0.148776 + 0.0716469i
\(483\) −1.23458 1.06205i −0.0561752 0.0483252i
\(484\) −0.176854 0.0851683i −0.00803881 0.00387129i
\(485\) −1.06504 + 14.2120i −0.0483610 + 0.645333i
\(486\) −4.50681 + 1.39017i −0.204433 + 0.0630593i
\(487\) 19.0855 + 13.0123i 0.864847 + 0.589643i 0.912434 0.409224i \(-0.134201\pi\)
−0.0475867 + 0.998867i \(0.515153\pi\)
\(488\) −25.1744 + 3.79442i −1.13959 + 0.171765i
\(489\) 0.923926 0.0417814
\(490\) 38.9560 + 8.87676i 1.75985 + 0.401011i
\(491\) 0.270745 0.0122185 0.00610927 0.999981i \(-0.498055\pi\)
0.00610927 + 0.999981i \(0.498055\pi\)
\(492\) −0.00507469 0.000764886i −0.000228785 3.44837e-5i
\(493\) −25.8511 17.6250i −1.16428 0.793790i
\(494\) −2.78310 + 0.858473i −0.125218 + 0.0386245i
\(495\) 4.64291 61.9554i 0.208683 2.78469i
\(496\) −16.7809 8.08127i −0.753486 0.362860i
\(497\) −5.37135 12.3052i −0.240938 0.551966i
\(498\) 2.47045 1.18971i 0.110704 0.0533121i
\(499\) 8.14588 + 20.7554i 0.364660 + 0.929138i 0.988991 + 0.147978i \(0.0472765\pi\)
−0.624331 + 0.781160i \(0.714628\pi\)
\(500\) −0.0231661 0.309131i −0.00103602 0.0138247i
\(501\) 0.559184 1.42478i 0.0249825 0.0636544i
\(502\) −16.0698 4.95687i −0.717229 0.221236i
\(503\) 18.4646 + 23.1538i 0.823294 + 1.03238i 0.998852 + 0.0479093i \(0.0152559\pi\)
−0.175557 + 0.984469i \(0.556173\pi\)
\(504\) −22.1253 2.48891i −0.985540 0.110865i
\(505\) 24.9854 31.3307i 1.11183 1.39420i
\(506\) 30.1068 20.5264i 1.33841 0.912512i
\(507\) −0.0908840 + 0.0843280i −0.00403630 + 0.00374514i
\(508\) 0.0468391 + 0.0811276i 0.00207815 + 0.00359946i
\(509\) 4.25172 7.36420i 0.188454 0.326412i −0.756281 0.654247i \(-0.772986\pi\)
0.944735 + 0.327835i \(0.106319\pi\)
\(510\) −1.22318 5.35909i −0.0541632 0.237305i
\(511\) 13.7459 7.26808i 0.608083 0.321521i
\(512\) −4.98726 + 21.8506i −0.220408 + 0.965670i
\(513\) 1.11668 + 1.03612i 0.0493025 + 0.0457460i
\(514\) −35.3759 5.33207i −1.56037 0.235187i
\(515\) −42.7583 6.44477i −1.88415 0.283991i
\(516\) 0.00375064 + 0.00348008i 0.000165113 + 0.000153202i
\(517\) 4.37769 19.1799i 0.192531 0.843532i
\(518\) −2.56391 + 1.35565i −0.112652 + 0.0595640i
\(519\) 0.0720815 + 0.315810i 0.00316403 + 0.0138625i
\(520\) 5.67226 9.82464i 0.248745 0.430839i
\(521\) 8.79176 + 15.2278i 0.385174 + 0.667141i 0.991793 0.127851i \(-0.0408081\pi\)
−0.606619 + 0.794993i \(0.707475\pi\)
\(522\) 12.5015 11.5997i 0.547177 0.507706i
\(523\) −28.6851 + 19.5571i −1.25431 + 0.855174i −0.993896 0.110323i \(-0.964812\pi\)
−0.260415 + 0.965497i \(0.583859\pi\)
\(524\) −0.114656 + 0.143774i −0.00500878 + 0.00628081i
\(525\) 3.64711 + 0.410269i 0.159173 + 0.0179056i
\(526\) −1.83036 2.29519i −0.0798073 0.100075i
\(527\) −34.3503 10.5957i −1.49632 0.461554i
\(528\) −0.943168 + 2.40315i −0.0410461 + 0.104584i
\(529\) 0.123204 + 1.64404i 0.00535668 + 0.0714799i
\(530\) 16.3865 + 41.7522i 0.711786 + 1.81360i
\(531\) −3.31320 + 1.59555i −0.143780 + 0.0692410i
\(532\) −0.0270539 0.0619779i −0.00117294 0.00268708i
\(533\) −2.99562 1.44262i −0.129755 0.0624867i
\(534\) −0.0554115 + 0.739415i −0.00239789 + 0.0319976i
\(535\) −38.0317 + 11.7312i −1.64425 + 0.507185i
\(536\) 1.34529 + 0.917205i 0.0581078 + 0.0396172i
\(537\) 2.35647 0.355180i 0.101689 0.0153272i
\(538\) 12.5192 0.539740
\(539\) −28.3227 22.5700i −1.21995 0.972159i
\(540\) 0.0371666 0.00159939
\(541\) 29.0171 4.37362i 1.24754 0.188037i 0.508125 0.861284i \(-0.330339\pi\)
0.739418 + 0.673247i \(0.235101\pi\)
\(542\) −21.0007 14.3180i −0.902058 0.615013i
\(543\) 2.37524 0.732663i 0.101931 0.0314416i
\(544\) 0.0408808 0.545517i 0.00175275 0.0233888i
\(545\) 10.0659 + 4.84748i 0.431176 + 0.207643i
\(546\) −0.352764 0.303468i −0.0150969 0.0129872i
\(547\) 15.2879 7.36226i 0.653663 0.314787i −0.0774982 0.996992i \(-0.524693\pi\)
0.731161 + 0.682205i \(0.238979\pi\)
\(548\) −0.0111302 0.0283593i −0.000475459 0.00121145i
\(549\) −2.01392 26.8738i −0.0859519 1.14695i
\(550\) −30.0012 + 76.4417i −1.27925 + 3.25949i
\(551\) −7.90210 2.43747i −0.336641 0.103840i
\(552\) −1.08208 1.35689i −0.0460564 0.0577529i
\(553\) −3.78535 33.5419i −0.160969 1.42635i
\(554\) 21.2085 26.5946i 0.901063 1.12990i
\(555\) −0.318484 + 0.217138i −0.0135189 + 0.00921701i
\(556\) −0.0798627 + 0.0741017i −0.00338693 + 0.00314261i
\(557\) −1.59720 2.76643i −0.0676755 0.117217i 0.830202 0.557462i \(-0.188225\pi\)
−0.897878 + 0.440245i \(0.854892\pi\)
\(558\) 9.79695 16.9688i 0.414738 0.718347i
\(559\) 0.737618 + 3.23171i 0.0311979 + 0.136687i
\(560\) 39.2725 + 17.1260i 1.65957 + 0.723707i
\(561\) −1.10872 + 4.85761i −0.0468101 + 0.205089i
\(562\) 4.41486 + 4.09639i 0.186230 + 0.172796i
\(563\) 9.99929 + 1.50715i 0.421420 + 0.0635188i 0.356329 0.934361i \(-0.384028\pi\)
0.0650907 + 0.997879i \(0.479266\pi\)
\(564\) 0.00580372 0.000874770i 0.000244381 3.68345e-5i
\(565\) 48.6219 + 45.1145i 2.04554 + 1.89798i
\(566\) 4.75570 20.8361i 0.199897 0.875806i
\(567\) 4.35483 23.0384i 0.182886 0.967522i
\(568\) −3.18394 13.9497i −0.133595 0.585318i
\(569\) 9.61914 16.6608i 0.403255 0.698459i −0.590861 0.806773i \(-0.701212\pi\)
0.994117 + 0.108314i \(0.0345453\pi\)
\(570\) −0.726429 1.25821i −0.0304268 0.0527007i
\(571\) 0.417314 0.387211i 0.0174640 0.0162043i −0.671392 0.741102i \(-0.734303\pi\)
0.688857 + 0.724898i \(0.258113\pi\)
\(572\) 0.0532184 0.0362837i 0.00222517 0.00151710i
\(573\) −1.81598 + 2.27717i −0.0758637 + 0.0951301i
\(574\) 4.11953 11.7797i 0.171946 0.491676i
\(575\) −34.6341 43.4297i −1.44434 1.81115i
\(576\) −22.6725 6.99353i −0.944685 0.291397i
\(577\) −5.12224 + 13.0513i −0.213242 + 0.543331i −0.996971 0.0777711i \(-0.975220\pi\)
0.783729 + 0.621102i \(0.213315\pi\)
\(578\) −4.59447 61.3089i −0.191105 2.55011i
\(579\) 0.895812 + 2.28249i 0.0372287 + 0.0948572i
\(580\) −0.181781 + 0.0875410i −0.00754803 + 0.00363494i
\(581\) −1.53492 + 41.2192i −0.0636793 + 1.71006i
\(582\) 0.561294 + 0.270305i 0.0232664 + 0.0112045i
\(583\) 3.03820 40.5419i 0.125829 1.67908i
\(584\) 15.8344 4.88426i 0.655231 0.202112i
\(585\) 9.92205 + 6.76474i 0.410226 + 0.279687i
\(586\) −18.3707 + 2.76893i −0.758885 + 0.114383i
\(587\) −11.9799 −0.494465 −0.247233 0.968956i \(-0.579521\pi\)
−0.247233 + 0.968956i \(0.579521\pi\)
\(588\) 0.00608324 0.00892934i 0.000250868 0.000368240i
\(589\) −9.50103 −0.391483
\(590\) 6.95404 1.04815i 0.286293 0.0431517i
\(591\) −1.38635 0.945199i −0.0570269 0.0388803i
\(592\) −2.97184 + 0.916691i −0.122142 + 0.0376758i
\(593\) 0.459775 6.13527i 0.0188807 0.251945i −0.979775 0.200104i \(-0.935872\pi\)
0.998655 0.0518413i \(-0.0165090\pi\)
\(594\) −4.90639 2.36279i −0.201311 0.0969465i
\(595\) 79.8762 + 21.3874i 3.27460 + 0.876799i
\(596\) −0.181226 + 0.0872741i −0.00742333 + 0.00357488i
\(597\) 0.826953 + 2.10704i 0.0338449 + 0.0862354i
\(598\) 0.526326 + 7.02333i 0.0215231 + 0.287205i
\(599\) 2.93912 7.48875i 0.120089 0.305982i −0.858171 0.513364i \(-0.828399\pi\)
0.978260 + 0.207382i \(0.0664943\pi\)
\(600\) 3.73744 + 1.15285i 0.152581 + 0.0470649i
\(601\) 9.77742 + 12.2605i 0.398829 + 0.500116i 0.940179 0.340681i \(-0.110658\pi\)
−0.541349 + 0.840798i \(0.682086\pi\)
\(602\) −11.7426 + 4.11126i −0.478591 + 0.167563i
\(603\) −1.07461 + 1.34752i −0.0437614 + 0.0548751i
\(604\) −0.172942 + 0.117910i −0.00703691 + 0.00479769i
\(605\) 46.5037 43.1491i 1.89065 1.75426i
\(606\) −0.875863 1.51704i −0.0355795 0.0616255i
\(607\) −0.846769 + 1.46665i −0.0343693 + 0.0595294i −0.882698 0.469940i \(-0.844276\pi\)
0.848329 + 0.529469i \(0.177609\pi\)
\(608\) −0.0321736 0.140962i −0.00130481 0.00571675i
\(609\) −0.342187 1.27615i −0.0138661 0.0517120i
\(610\) −11.4682 + 50.2454i −0.464333 + 2.03437i
\(611\) 2.78747 + 2.58639i 0.112769 + 0.104634i
\(612\) 0.285409 + 0.0430185i 0.0115370 + 0.00173892i
\(613\) −4.81243 0.725356i −0.194372 0.0292969i 0.0511347 0.998692i \(-0.483716\pi\)
−0.245507 + 0.969395i \(0.578954\pi\)
\(614\) 5.25112 + 4.87233i 0.211918 + 0.196631i
\(615\) 0.369068 1.61699i 0.0148823 0.0652034i
\(616\) −25.1802 29.2493i −1.01454 1.17849i
\(617\) 4.92365 + 21.5719i 0.198219 + 0.868452i 0.971996 + 0.234995i \(0.0755075\pi\)
−0.773778 + 0.633457i \(0.781635\pi\)
\(618\) −0.945100 + 1.63696i −0.0380175 + 0.0658483i
\(619\) 9.13703 + 15.8258i 0.367248 + 0.636092i 0.989134 0.147015i \(-0.0469666\pi\)
−0.621886 + 0.783108i \(0.713633\pi\)
\(620\) −0.169928 + 0.157670i −0.00682447 + 0.00633218i
\(621\) 3.04363 2.07511i 0.122137 0.0832714i
\(622\) −13.7857 + 17.2867i −0.552757 + 0.693135i
\(623\) −9.44559 5.93270i −0.378430 0.237689i
\(624\) −0.311115 0.390125i −0.0124546 0.0156175i
\(625\) 42.2770 + 13.0407i 1.69108 + 0.521629i
\(626\) −1.72974 + 4.40730i −0.0691342 + 0.176151i
\(627\) 0.0984126 + 1.31322i 0.00393022 + 0.0524451i
\(628\) 0.0771947 + 0.196689i 0.00308040 + 0.00784874i
\(629\) −5.40794 + 2.60433i −0.215629 + 0.103841i
\(630\) −21.0536 + 39.8526i −0.838796 + 1.58777i
\(631\) 37.2348 + 17.9313i 1.48229 + 0.713835i 0.987855 0.155378i \(-0.0496595\pi\)
0.494438 + 0.869213i \(0.335374\pi\)
\(632\) 2.68821 35.8717i 0.106931 1.42690i
\(633\) 1.35100 0.416729i 0.0536975 0.0165635i
\(634\) −16.3847 11.1709i −0.650719 0.443653i
\(635\) −29.9370 + 4.51228i −1.18801 + 0.179064i
\(636\) 0.0121292 0.000480953
\(637\) 6.51520 2.55972i 0.258142 0.101420i
\(638\) 29.5623 1.17038
\(639\) 14.9770 2.25742i 0.592482 0.0893023i
\(640\) 37.9584 + 25.8796i 1.50044 + 1.02298i
\(641\) 35.4632 10.9389i 1.40071 0.432062i 0.499829 0.866124i \(-0.333396\pi\)
0.900883 + 0.434062i \(0.142920\pi\)
\(642\) −0.130013 + 1.73490i −0.00513121 + 0.0684712i
\(643\) 15.0203 + 7.23340i 0.592343 + 0.285258i 0.705943 0.708269i \(-0.250524\pi\)
−0.113599 + 0.993527i \(0.536238\pi\)
\(644\) −0.160676 + 0.0304313i −0.00633150 + 0.00119916i
\(645\) −1.48980 + 0.717450i −0.0586608 + 0.0282496i
\(646\) −8.26537 21.0598i −0.325197 0.828587i
\(647\) 2.13577 + 28.4999i 0.0839659 + 1.12045i 0.866947 + 0.498401i \(0.166079\pi\)
−0.782981 + 0.622046i \(0.786302\pi\)
\(648\) 9.12863 23.2594i 0.358607 0.913715i
\(649\) −6.09130 1.87892i −0.239105 0.0737540i
\(650\) −9.89622 12.4095i −0.388162 0.486739i
\(651\) −0.807851 1.28518i −0.0316622 0.0503700i
\(652\) 0.0578457 0.0725362i 0.00226541 0.00284074i
\(653\) 31.6299 21.5649i 1.23778 0.843901i 0.245676 0.969352i \(-0.420990\pi\)
0.992100 + 0.125451i \(0.0400378\pi\)
\(654\) 0.358004 0.332179i 0.0139990 0.0129892i
\(655\) −29.7157 51.4691i −1.16109 2.01107i
\(656\) 6.69092 11.5890i 0.261237 0.452475i
\(657\) 3.90317 + 17.1009i 0.152277 + 0.667170i
\(658\) −8.47298 + 11.4848i −0.330311 + 0.447723i
\(659\) 1.03511 4.53509i 0.0403220 0.176662i −0.950757 0.309937i \(-0.899692\pi\)
0.991079 + 0.133275i \(0.0425492\pi\)
\(660\) 0.0235532 + 0.0218541i 0.000916806 + 0.000850671i
\(661\) 21.1957 + 3.19474i 0.824419 + 0.124261i 0.547684 0.836685i \(-0.315510\pi\)
0.276735 + 0.960946i \(0.410748\pi\)
\(662\) 35.1460 + 5.29740i 1.36599 + 0.205889i
\(663\) −0.705969 0.655044i −0.0274176 0.0254398i
\(664\) −9.78145 + 42.8553i −0.379594 + 1.66311i
\(665\) 21.8399 0.821108i 0.846915 0.0318412i
\(666\) −0.728026 3.18969i −0.0282105 0.123598i
\(667\) −9.99867 + 17.3182i −0.387150 + 0.670564i
\(668\) −0.0768477 0.133104i −0.00297333 0.00514995i
\(669\) 2.27259 2.10866i 0.0878635 0.0815254i
\(670\) 2.72335 1.85675i 0.105212 0.0717325i
\(671\) 29.1262 36.5231i 1.12441 1.40996i
\(672\) 0.0163318 0.0163377i 0.000630014 0.000630239i
\(673\) −11.9658 15.0046i −0.461247 0.578385i 0.495757 0.868461i \(-0.334891\pi\)
−0.957004 + 0.290076i \(0.906319\pi\)
\(674\) −23.1030 7.12634i −0.889895 0.274496i
\(675\) −3.03295 + 7.72784i −0.116738 + 0.297445i
\(676\) 0.000930363 0.0124148i 3.57832e−5 0.000477494i
\(677\) −0.458544 1.16835i −0.0176233 0.0449034i 0.921791 0.387686i \(-0.126726\pi\)
−0.939415 + 0.342783i \(0.888630\pi\)
\(678\) 2.61226 1.25800i 0.100323 0.0483132i
\(679\) −7.53938 + 5.56640i −0.289335 + 0.213619i
\(680\) 79.3952 + 38.2347i 3.04467 + 1.46623i
\(681\) −0.0595130 + 0.794146i −0.00228054 + 0.0304317i
\(682\) 32.4559 10.0113i 1.24280 0.383353i
\(683\) 41.7754 + 28.4820i 1.59849 + 1.08983i 0.942058 + 0.335451i \(0.108889\pi\)
0.656435 + 0.754383i \(0.272064\pi\)
\(684\) 0.0754349 0.0113700i 0.00288433 0.000434742i
\(685\) 9.84585 0.376191
\(686\) 12.2890 + 23.2218i 0.469197 + 0.886611i
\(687\) −1.80836 −0.0689932
\(688\) −13.1923 + 1.98842i −0.502952 + 0.0758078i
\(689\) 6.49272 + 4.42666i 0.247353 + 0.168642i
\(690\) −3.35723 + 1.03557i −0.127807 + 0.0394234i
\(691\) 0.393981 5.25731i 0.0149877 0.199998i −0.984683 0.174352i \(-0.944217\pi\)
0.999671 0.0256454i \(-0.00816408\pi\)
\(692\) 0.0293067 + 0.0141134i 0.00111407 + 0.000536509i
\(693\) 32.8670 24.2661i 1.24851 0.921791i
\(694\) −7.45374 + 3.58953i −0.282940 + 0.136257i
\(695\) −12.8634 32.7754i −0.487937 1.24324i
\(696\) −0.105222 1.40408i −0.00398841 0.0532217i
\(697\) 9.43571 24.0418i 0.357403 0.910648i
\(698\) −3.93624 1.21417i −0.148989 0.0459570i
\(699\) 1.81846 + 2.28028i 0.0687806 + 0.0862481i
\(700\) 0.260550 0.260643i 0.00984786 0.00985139i
\(701\) −3.12885 + 3.92346i −0.118175 + 0.148187i −0.837400 0.546590i \(-0.815926\pi\)
0.719225 + 0.694777i \(0.244497\pi\)
\(702\) 0.869677 0.592936i 0.0328238 0.0223789i
\(703\) −1.16295 + 1.07906i −0.0438615 + 0.0406975i
\(704\) −20.5643 35.6184i −0.775046 1.34242i
\(705\) −0.948425 + 1.64272i −0.0357197 + 0.0618684i
\(706\) −2.99065 13.1029i −0.112554 0.493133i
\(707\) 26.3326 0.990018i 0.990339 0.0372335i
\(708\) 0.000423183 0.00185408i 1.59042e−5 6.96807e-5i
\(709\) −33.9893 31.5374i −1.27649 1.18441i −0.972801 0.231643i \(-0.925590\pi\)
−0.303692 0.952770i \(-0.598220\pi\)
\(710\) −28.6420 4.31708i −1.07491 0.162017i
\(711\) 37.6530 + 5.67527i 1.41210 + 0.212839i
\(712\) −8.71374 8.08517i −0.326561 0.303005i
\(713\) −5.11252 + 22.3994i −0.191466 + 0.838865i
\(714\) 2.14591 2.90870i 0.0803088 0.108855i
\(715\) 4.63208 + 20.2944i 0.173230 + 0.758969i
\(716\) 0.119650 0.207240i 0.00447154 0.00774493i
\(717\) −0.827607 1.43346i −0.0309076 0.0535335i
\(718\) 1.34195 1.24514i 0.0500810 0.0464684i
\(719\) 0.466169 0.317828i 0.0173852 0.0118530i −0.554596 0.832120i \(-0.687127\pi\)
0.571981 + 0.820267i \(0.306175\pi\)
\(720\) −30.1345 + 37.7874i −1.12304 + 1.40825i
\(721\) −15.1322 24.0733i −0.563554 0.896535i
\(722\) 13.0771 + 16.3981i 0.486679 + 0.610276i
\(723\) −0.302762 0.0933898i −0.0112598 0.00347320i
\(724\) 0.0911897 0.232347i 0.00338904 0.00863513i
\(725\) −3.36782 44.9404i −0.125078 1.66905i
\(726\) −1.01312 2.58139i −0.0376004 0.0958044i
\(727\) −23.7016 + 11.4141i −0.879045 + 0.423326i −0.818276 0.574826i \(-0.805070\pi\)
−0.0607692 + 0.998152i \(0.519355\pi\)
\(728\) 7.32954 1.38818i 0.271651 0.0514495i
\(729\) 23.5815 + 11.3563i 0.873389 + 0.420602i
\(730\) 2.50680 33.4509i 0.0927809 1.23807i
\(731\) −24.6050 + 7.58962i −0.910047 + 0.280712i
\(732\) 0.0115152 + 0.00785092i 0.000425614 + 0.000290178i
\(733\) 24.7208 3.72606i 0.913084 0.137625i 0.324336 0.945942i \(-0.394859\pi\)
0.588748 + 0.808317i \(0.299621\pi\)
\(734\) 24.0543 0.887861
\(735\) 1.96806 + 2.88440i 0.0725931 + 0.106393i
\(736\) −0.349641 −0.0128879
\(737\) −2.95428 + 0.445286i −0.108822 + 0.0164023i
\(738\) 11.6315 + 7.93023i 0.428162 + 0.291916i
\(739\) −44.7524 + 13.8043i −1.64624 + 0.507799i −0.972840 0.231477i \(-0.925644\pi\)
−0.673403 + 0.739276i \(0.735168\pi\)
\(740\) −0.00289255 + 0.0385984i −0.000106332 + 0.00141891i
\(741\) −0.229332 0.110441i −0.00842474 0.00405714i
\(742\) −13.7769 + 26.0785i −0.505767 + 0.957372i
\(743\) −4.55800 + 2.19502i −0.167217 + 0.0805274i −0.515620 0.856817i \(-0.672438\pi\)
0.348403 + 0.937345i \(0.386724\pi\)
\(744\) −0.591017 1.50589i −0.0216677 0.0552084i
\(745\) −4.85798 64.8252i −0.177983 2.37501i
\(746\) −4.54024 + 11.5683i −0.166230 + 0.423547i
\(747\) −44.4637 13.7152i −1.62684 0.501814i
\(748\) 0.311949 + 0.391172i 0.0114060 + 0.0143027i
\(749\) −22.1624 13.9200i −0.809795 0.508626i
\(750\) 2.73052 3.42397i 0.0997045 0.125026i
\(751\) −0.325524 + 0.221939i −0.0118786 + 0.00809866i −0.569245 0.822168i \(-0.692764\pi\)
0.557366 + 0.830267i \(0.311812\pi\)
\(752\) −11.2188 + 10.4096i −0.409109 + 0.379598i
\(753\) −0.734862 1.27282i −0.0267799 0.0463841i
\(754\) −2.85699 + 4.94845i −0.104045 + 0.180212i
\(755\) −15.0527 65.9502i −0.547824 2.40017i
\(756\) 0.0159450 + 0.0185218i 0.000579915 + 0.000673630i
\(757\) 0.648480 2.84117i 0.0235694 0.103264i −0.961775 0.273841i \(-0.911706\pi\)
0.985344 + 0.170577i \(0.0545630\pi\)
\(758\) 23.2998 + 21.6190i 0.846285 + 0.785238i
\(759\) 3.14899 + 0.474633i 0.114301 + 0.0172281i
\(760\) 23.0309 + 3.47135i 0.835418 + 0.125919i
\(761\) −12.5844 11.6767i −0.456186 0.423279i 0.418315 0.908302i \(-0.362621\pi\)
−0.874501 + 0.485023i \(0.838811\pi\)
\(762\) −0.294488 + 1.29023i −0.0106682 + 0.0467403i
\(763\) 1.90271 + 7.09593i 0.0688828 + 0.256890i
\(764\) 0.0650814 + 0.285140i 0.00235456 + 0.0103160i
\(765\) −46.6406 + 80.7839i −1.68629 + 2.92075i
\(766\) −6.36456 11.0237i −0.229961 0.398304i
\(767\) 0.903196 0.838043i 0.0326125 0.0302600i
\(768\) 0.0306062 0.0208670i 0.00110441 0.000752972i
\(769\) 8.63649 10.8298i 0.311440 0.390533i −0.601335 0.798997i \(-0.705364\pi\)
0.912774 + 0.408464i \(0.133936\pi\)
\(770\) −73.7407 + 25.8178i −2.65743 + 0.930410i
\(771\) −1.94942 2.44450i −0.0702067 0.0880364i
\(772\) 0.235281 + 0.0725746i 0.00846795 + 0.00261202i
\(773\) 16.5080 42.0617i 0.593751 1.51285i −0.245660 0.969356i \(-0.579005\pi\)
0.839411 0.543497i \(-0.182900\pi\)
\(774\) −1.04884 13.9958i −0.0376997 0.503068i
\(775\) −18.9166 48.1988i −0.679506 1.73135i
\(776\) −8.99820 + 4.33331i −0.323017 + 0.155557i
\(777\) −0.244844 0.0655588i −0.00878373 0.00235191i
\(778\) −1.73562 0.835832i −0.0622251 0.0299660i
\(779\) 0.510124 6.80714i 0.0182771 0.243891i
\(780\) −0.00593443 + 0.00183053i −0.000212487 + 6.55434e-5i
\(781\) 21.6929 + 14.7900i 0.776234 + 0.529227i
\(782\) −54.0978 + 8.15393i −1.93453 + 0.291584i
\(783\) 2.98858 0.106803
\(784\) 8.31384 + 26.9186i 0.296923 + 0.961378i
\(785\) −68.2869 −2.43726
\(786\) −2.56891 + 0.387200i −0.0916298 + 0.0138110i
\(787\) −4.57544 3.11948i −0.163097 0.111197i 0.479021 0.877803i \(-0.340992\pi\)
−0.642118 + 0.766606i \(0.721944\pi\)
\(788\) −0.161004 + 0.0496631i −0.00573552 + 0.00176917i
\(789\) 0.0191731 0.255847i 0.000682579 0.00910839i
\(790\) −65.6091 31.5957i −2.33427 1.12412i
\(791\) −1.62303 + 43.5853i −0.0577083 + 1.54971i
\(792\) 39.2266 18.8905i 1.39386 0.671245i
\(793\) 3.29879 + 8.40517i 0.117143 + 0.298476i
\(794\) 3.99120 + 53.2588i 0.141642 + 1.89008i
\(795\) −1.43211 + 3.64897i −0.0507918 + 0.129415i
\(796\) 0.217195 + 0.0669959i 0.00769828 + 0.00237461i
\(797\) −24.6413 30.8993i −0.872841 1.09451i −0.994787 0.101971i \(-0.967485\pi\)
0.121946 0.992537i \(-0.461086\pi\)
\(798\) 0.315374 0.901805i 0.0111641 0.0319236i
\(799\) −18.4163 + 23.0933i −0.651522 + 0.816983i
\(800\) 0.651042 0.443873i 0.0230178 0.0156933i
\(801\) 9.22390 8.55853i 0.325910 0.302401i
\(802\) −25.4666 44.1094i −0.899256 1.55756i
\(803\) −15.2029 + 26.3322i −0.536498 + 0.929242i
\(804\) −0.000198340 0 0.000868986i −6.99493e−6 0 3.06468e-5i
\(805\) 9.81626 51.9311i 0.345978 1.83033i
\(806\) −1.46084 + 6.40034i −0.0514557 + 0.225442i
\(807\) 0.802048 + 0.744192i 0.0282334 + 0.0261968i
\(808\) 27.7686 + 4.18544i 0.976895 + 0.147243i
\(809\) −28.6041 4.31137i −1.00567 0.151580i −0.374499 0.927227i \(-0.622185\pi\)
−0.631166 + 0.775648i \(0.717423\pi\)
\(810\) −37.0791 34.4044i −1.30283 1.20885i
\(811\) 11.0618 48.4649i 0.388432 1.70183i −0.281627 0.959524i \(-0.590874\pi\)
0.670059 0.742308i \(-0.266269\pi\)
\(812\) −0.121612 0.0530330i −0.00426776 0.00186109i
\(813\) −0.494299 2.16566i −0.0173358 0.0759532i
\(814\) 2.83567 4.91152i 0.0993901 0.172149i
\(815\) 14.9920 + 25.9669i 0.525147 + 0.909582i
\(816\) 2.84135 2.63638i 0.0994670 0.0922919i
\(817\) −5.62301 + 3.83370i −0.196724 + 0.134124i
\(818\) 31.7023 39.7534i 1.10844 1.38994i
\(819\) 0.885542 + 7.84678i 0.0309434 + 0.274189i
\(820\) −0.103841 0.130213i −0.00362629 0.00454722i
\(821\) −29.3230 9.04496i −1.02338 0.315671i −0.262756 0.964862i \(-0.584631\pi\)
−0.760625 + 0.649191i \(0.775108\pi\)
\(822\) 0.157239 0.400640i 0.00548436 0.0139739i
\(823\) 0.829241 + 11.0655i 0.0289055 + 0.385718i 0.992829 + 0.119540i \(0.0381418\pi\)
−0.963924 + 0.266178i \(0.914239\pi\)
\(824\) −11.0706 28.2075i −0.385663 0.982654i
\(825\) −6.46606 + 3.11389i −0.225119 + 0.108412i
\(826\) 3.50573 + 3.01583i 0.121980 + 0.104934i
\(827\) 7.30203 + 3.51647i 0.253916 + 0.122280i 0.556513 0.830839i \(-0.312139\pi\)
−0.302596 + 0.953119i \(0.597853\pi\)
\(828\) 0.0137860 0.183962i 0.000479098 0.00639312i
\(829\) −28.0162 + 8.64185i −0.973042 + 0.300144i −0.740212 0.672374i \(-0.765275\pi\)
−0.232830 + 0.972517i \(0.574799\pi\)
\(830\) 73.5233 + 50.1273i 2.55203 + 1.73995i
\(831\) 2.93963 0.443078i 0.101975 0.0153702i
\(832\) 7.94958 0.275602
\(833\) 23.6098 + 48.9814i 0.818032 + 1.69711i
\(834\) −1.53910 −0.0532947
\(835\) 49.1169 7.40318i 1.69976 0.256198i
\(836\) 0.109261 + 0.0744929i 0.00377887 + 0.00257639i
\(837\) 3.28112 1.01209i 0.113412 0.0349830i
\(838\) −2.65711 + 35.4567i −0.0917884 + 1.22483i
\(839\) −45.7344 22.0245i −1.57893 0.760372i −0.580385 0.814342i \(-0.697098\pi\)
−0.998543 + 0.0539703i \(0.982812\pi\)
\(840\) 1.48870 + 3.41048i 0.0513652 + 0.117673i
\(841\) 11.5110 5.54340i 0.396931 0.191152i
\(842\) 2.54243 + 6.47802i 0.0876181 + 0.223247i
\(843\) 0.0393340 + 0.524875i 0.00135473 + 0.0180777i
\(844\) 0.0518674 0.132156i 0.00178535 0.00454900i
\(845\) −3.84476 1.18595i −0.132264 0.0407980i
\(846\) −10.0382 12.5875i −0.345121 0.432769i
\(847\) 41.4540 + 4.66322i 1.42438 + 0.160230i
\(848\) −19.7192 + 24.7271i −0.677159 + 0.849131i
\(849\) 1.54326 1.05218i 0.0529646 0.0361106i
\(850\) 90.3802 83.8606i 3.10001 2.87639i
\(851\) 1.91818 + 3.32239i 0.0657545 + 0.113890i
\(852\) −0.00391645 + 0.00678349i −0.000134175 + 0.000232399i
\(853\) 9.01947 + 39.5169i 0.308821 + 1.35303i 0.856415 + 0.516288i \(0.172686\pi\)
−0.547595 + 0.836744i \(0.684456\pi\)
\(854\) −29.9595 + 15.8409i −1.02519 + 0.542066i
\(855\) −5.48617 + 24.0365i −0.187623 + 0.822031i
\(856\) −20.4452 18.9704i −0.698803 0.648395i
\(857\) 15.6700 + 2.36187i 0.535277 + 0.0806801i 0.411118 0.911582i \(-0.365138\pi\)
0.124160 + 0.992262i \(0.460377\pi\)
\(858\) 0.899781 + 0.135620i 0.0307180 + 0.00462999i
\(859\) 24.1399 + 22.3985i 0.823642 + 0.764228i 0.974514 0.224325i \(-0.0720177\pi\)
−0.150872 + 0.988553i \(0.548208\pi\)
\(860\) −0.0369482 + 0.161881i −0.00125992 + 0.00552009i
\(861\) 0.964156 0.509792i 0.0328583 0.0173737i
\(862\) −3.35634 14.7051i −0.114318 0.500858i
\(863\) 5.94176 10.2914i 0.202260 0.350324i −0.746996 0.664828i \(-0.768505\pi\)
0.949256 + 0.314504i \(0.101838\pi\)
\(864\) 0.0261268 + 0.0452529i 0.000888851 + 0.00153953i
\(865\) −7.70620 + 7.15030i −0.262019 + 0.243118i
\(866\) 21.5707 14.7067i 0.733003 0.499753i
\(867\) 3.35011 4.20091i 0.113776 0.142670i
\(868\) −0.151476 0.0170398i −0.00514142 0.000578367i
\(869\) 41.1543 + 51.6059i 1.39607 + 1.75061i
\(870\) −2.72370 0.840152i −0.0923422 0.0284838i
\(871\) 0.210974 0.537553i 0.00714858 0.0182143i
\(872\) 0.585078 + 7.80732i 0.0198132 + 0.264389i
\(873\) −3.86237 9.84116i −0.130721 0.333073i
\(874\) −13.0278 + 6.27387i −0.440673 + 0.212217i
\(875\) 26.3555 + 60.3779i 0.890978 + 2.04115i
\(876\) −0.00817290 0.00393586i −0.000276137 0.000132980i
\(877\) −2.79528 + 37.3004i −0.0943899 + 1.25955i 0.725981 + 0.687714i \(0.241386\pi\)
−0.820371 + 0.571831i \(0.806233\pi\)
\(878\) 33.8491 10.4411i 1.14235 0.352369i
\(879\) −1.34152 0.914635i −0.0452485 0.0308499i
\(880\) −82.8448 + 12.4868i −2.79270 + 0.420931i
\(881\) −19.8214 −0.667798 −0.333899 0.942609i \(-0.608365\pi\)
−0.333899 + 0.942609i \(0.608365\pi\)
\(882\) −28.8927 + 6.60545i −0.972867 + 0.222417i
\(883\) 38.5417 1.29703 0.648515 0.761202i \(-0.275390\pi\)
0.648515 + 0.761202i \(0.275390\pi\)
\(884\) −0.0956263 + 0.0144133i −0.00321626 + 0.000484773i
\(885\) 0.507821 + 0.346226i 0.0170702 + 0.0116383i
\(886\) 0.891751 0.275069i 0.0299590 0.00924112i
\(887\) −3.03353 + 40.4797i −0.101856 + 1.35917i 0.678851 + 0.734276i \(0.262478\pi\)
−0.780707 + 0.624897i \(0.785141\pi\)
\(888\) −0.243370 0.117201i −0.00816695 0.00393300i
\(889\) −15.0921 12.9831i −0.506173 0.435440i
\(890\) −21.6804 + 10.4407i −0.726728 + 0.349974i
\(891\) 16.7504 + 42.6793i 0.561159 + 1.42981i
\(892\) −0.0232641 0.310438i −0.000778940 0.0103942i
\(893\) −2.85218 + 7.26722i −0.0954444 + 0.243188i
\(894\) −2.71540 0.837590i −0.0908166 0.0280132i
\(895\) 48.2193 + 60.4651i 1.61179 + 2.02113i
\(896\) 3.38779 + 30.0191i 0.113178 + 1.00287i
\(897\) −0.383777 + 0.481241i −0.0128139 + 0.0160682i
\(898\) −44.2042 + 30.1379i −1.47511 + 1.00572i
\(899\) −13.6640 + 12.6784i −0.455720 + 0.422847i
\(900\) 0.207872 + 0.360044i 0.00692905 + 0.0120015i
\(901\) −30.5203 + 52.8628i −1.01678 + 1.76112i
\(902\) 5.43013 + 23.7910i 0.180804 + 0.792153i
\(903\) −0.996685 0.434637i −0.0331676 0.0144638i
\(904\) −10.3429 + 45.3153i −0.344001 + 1.50716i
\(905\) 59.1330 + 54.8674i 1.96565 + 1.82386i
\(906\) −2.92399 0.440720i −0.0971429 0.0146419i
\(907\) 12.6898 + 1.91268i 0.421358 + 0.0635094i 0.356299 0.934372i \(-0.384038\pi\)
0.0650586 + 0.997881i \(0.479277\pi\)
\(908\) 0.0586213 + 0.0543926i 0.00194542 + 0.00180508i
\(909\) −6.61473 + 28.9810i −0.219397 + 0.961240i
\(910\) 2.80487 14.8386i 0.0929804 0.491895i
\(911\) −8.39664 36.7881i −0.278193 1.21884i −0.900076 0.435733i \(-0.856489\pi\)
0.621883 0.783110i \(-0.286368\pi\)
\(912\) 0.512229 0.887206i 0.0169616 0.0293783i
\(913\) −40.3293 69.8525i −1.33471 2.31178i
\(914\) 10.9526 10.1625i 0.362280 0.336147i
\(915\) −3.72151 + 2.53728i −0.123029 + 0.0838800i
\(916\) −0.113219 + 0.141972i −0.00374085 + 0.00469088i
\(917\) 12.9009 36.8897i 0.426024 1.21821i
\(918\) 5.09777 + 6.39240i 0.168251 + 0.210981i
\(919\) 34.6454 + 10.6867i 1.14285 + 0.352522i 0.807671 0.589634i \(-0.200728\pi\)
0.335177 + 0.942155i \(0.391204\pi\)
\(920\) 20.5769 52.4292i 0.678402 1.72854i
\(921\) 0.0467846 + 0.624297i 0.00154161 + 0.0205713i
\(922\) 9.18874 + 23.4125i 0.302615 + 0.771050i
\(923\) −4.57218 + 2.20184i −0.150495 + 0.0724746i
\(924\) −0.000786220 0.0211134i −2.58647e−5 0.000694578i
\(925\) −7.78952 3.75124i −0.256118 0.123340i
\(926\) −0.937587 + 12.5112i −0.0308110 + 0.411144i
\(927\) 30.6512 9.45463i 1.00672 0.310531i
\(928\) −0.234373 0.159793i −0.00769366 0.00524545i
\(929\) −35.0191 + 5.27828i −1.14894 + 0.173175i −0.695781 0.718254i \(-0.744941\pi\)
−0.453160 + 0.891429i \(0.649703\pi\)
\(930\) −3.27483 −0.107386
\(931\) 9.77885 + 10.5315i 0.320489 + 0.345157i
\(932\) 0.292873 0.00959338
\(933\) −1.91079 + 0.288005i −0.0625564 + 0.00942886i
\(934\) 7.00148 + 4.77353i 0.229096 + 0.156195i
\(935\) −154.514 + 47.6612i −5.05314 + 1.55869i
\(936\) −0.628878 + 8.39180i −0.0205555 + 0.274294i
\(937\) 8.57953 + 4.13169i 0.280281 + 0.134976i 0.568743 0.822515i \(-0.307430\pi\)
−0.288462 + 0.957491i \(0.593144\pi\)
\(938\) 2.09366 + 0.560593i 0.0683605 + 0.0183040i
\(939\) −0.372805 + 0.179533i −0.0121660 + 0.00585885i
\(940\) 0.0695882 + 0.177308i 0.00226972 + 0.00578315i
\(941\) −2.88773 38.5341i −0.0941373 1.25617i −0.821615 0.570043i \(-0.806926\pi\)
0.727477 0.686132i \(-0.240693\pi\)
\(942\) −1.09055 + 2.77868i −0.0355320 + 0.0905342i
\(943\) −15.7739 4.86559i −0.513668 0.158445i
\(944\) 3.09182 + 3.87702i 0.100630 + 0.126186i
\(945\) −7.45479 + 2.61004i −0.242504 + 0.0849047i
\(946\) 15.1688 19.0211i 0.493181 0.618429i
\(947\) 10.2628 6.99705i 0.333496 0.227374i −0.384981 0.922925i \(-0.625792\pi\)
0.718477 + 0.695551i \(0.244840\pi\)
\(948\) −0.0144355 + 0.0133942i −0.000468843 + 0.000435022i
\(949\) −2.93851 5.08964i −0.0953880 0.165217i
\(950\) 16.2934 28.2211i 0.528629 0.915613i
\(951\) −0.385650 1.68964i −0.0125056 0.0547905i
\(952\) 15.0077 + 55.9694i 0.486403 + 1.81398i
\(953\) 3.31051 14.5043i 0.107238 0.469840i −0.892583 0.450884i \(-0.851109\pi\)
0.999820 0.0189555i \(-0.00603409\pi\)
\(954\) −24.3898 22.6304i −0.789650 0.732688i
\(955\) −93.4666 14.0878i −3.02451 0.455871i
\(956\) −0.164354 0.0247724i −0.00531559 0.000801197i
\(957\) 1.89392 + 1.75730i 0.0612219 + 0.0568056i
\(958\) 0.904701 3.96375i 0.0292296 0.128063i
\(959\) 4.22402 + 4.90663i 0.136401 + 0.158443i
\(960\) 0.882416 + 3.86612i 0.0284798 + 0.124778i
\(961\) 4.79206 8.30010i 0.154583 0.267745i
\(962\) 0.548095 + 0.949329i 0.0176713 + 0.0306076i
\(963\) 21.6422 20.0810i 0.697410 0.647102i
\(964\) −0.0262874 + 0.0179225i −0.000846661 + 0.000577243i
\(965\) −49.6136 + 62.2135i −1.59712 + 2.00272i
\(966\) −1.95637 1.22878i −0.0629453 0.0395354i
\(967\) −23.3433 29.2716i −0.750670 0.941310i 0.248960 0.968514i \(-0.419911\pi\)
−0.999630 + 0.0272037i \(0.991340\pi\)
\(968\) 42.4807 + 13.1036i 1.36538 + 0.421165i
\(969\) 0.722358 1.84054i 0.0232055 0.0591266i
\(970\) 1.51088 + 20.1612i 0.0485113 + 0.647338i
\(971\) −12.2616 31.2422i −0.393495 1.00261i −0.981107 0.193466i \(-0.938027\pi\)
0.587612 0.809143i \(-0.300068\pi\)
\(972\) −0.0372915 + 0.0179586i −0.00119613 + 0.000576024i
\(973\) 10.8149 20.4716i 0.346708 0.656289i
\(974\) 29.5237 + 14.2179i 0.946000 + 0.455569i
\(975\) 0.103663 1.38329i 0.00331989 0.0443008i
\(976\) −34.7262 + 10.7116i −1.11156 + 0.342871i
\(977\) −6.19559 4.22408i −0.198214 0.135140i 0.460146 0.887843i \(-0.347797\pi\)
−0.658360 + 0.752703i \(0.728750\pi\)
\(978\) 1.29605 0.195348i 0.0414431 0.00624654i
\(979\) 21.8117 0.697104
\(980\) 0.349668 + 0.0260781i 0.0111697 + 0.000833033i
\(981\) −8.28758 −0.264602
\(982\) 0.379791 0.0572442i 0.0121196 0.00182674i
\(983\) 33.1111 + 22.5747i 1.05608 + 0.720022i 0.961308 0.275477i \(-0.0888357\pi\)
0.0947712 + 0.995499i \(0.469788\pi\)
\(984\) 1.11064 0.342588i 0.0354060 0.0109213i
\(985\) 4.06927 54.3006i 0.129658 1.73016i
\(986\) −39.9895 19.2579i −1.27353 0.613298i
\(987\) −1.22553 + 0.232110i −0.0390090 + 0.00738814i
\(988\) −0.0230287 + 0.0110900i −0.000732641 + 0.000352821i
\(989\) 6.01250 + 15.3196i 0.191187 + 0.487135i
\(990\) −6.58648 87.8904i −0.209332 2.79334i
\(991\) 14.7171 37.4985i 0.467503 1.19118i −0.481650 0.876363i \(-0.659963\pi\)
0.949153 0.314814i \(-0.101942\pi\)
\(992\) −0.311428 0.0960628i −0.00988784 0.00305000i
\(993\) 1.93675 + 2.42860i 0.0614608 + 0.0770694i
\(994\) −10.1365 16.1257i −0.321509 0.511475i
\(995\) −45.7999 + 57.4312i −1.45195 + 1.82069i
\(996\) 0.0198823 0.0135555i 0.000629995 0.000429524i
\(997\) 19.6804 18.2607i 0.623284 0.578323i −0.304005 0.952671i \(-0.598324\pi\)
0.927288 + 0.374348i \(0.122133\pi\)
\(998\) 15.8151 + 27.3926i 0.500619 + 0.867097i
\(999\) 0.286671 0.496528i 0.00906986 0.0157095i
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 637.2.bl.b.534.22 yes 348
49.39 even 21 inner 637.2.bl.b.235.22 348
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
637.2.bl.b.235.22 348 49.39 even 21 inner
637.2.bl.b.534.22 yes 348 1.1 even 1 trivial