Properties

Label 418.2.q.b.21.6
Level $418$
Weight $2$
Character 418.21
Analytic conductor $3.338$
Analytic rank $0$
Dimension $60$
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] = [418,2,Mod(21,418)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(418, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("418.21");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.q (of order \(18\), degree \(6\), 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: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 21.6
Character \(\chi\) \(=\) 418.21
Dual form 418.2.q.b.219.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.173648 - 0.984808i) q^{2} +(0.0268646 - 0.0320160i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.843173 + 0.306890i) q^{5} +(-0.0268646 - 0.0320160i) q^{6} +(-2.35018 + 1.35688i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.520641 + 2.95270i) q^{9} +O(q^{10})\) \(q+(0.173648 - 0.984808i) q^{2} +(0.0268646 - 0.0320160i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.843173 + 0.306890i) q^{5} +(-0.0268646 - 0.0320160i) q^{6} +(-2.35018 + 1.35688i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.520641 + 2.95270i) q^{9} +(0.155812 + 0.883655i) q^{10} +(-1.82993 + 2.76611i) q^{11} +(-0.0361945 + 0.0208969i) q^{12} +(-1.74073 + 1.46065i) q^{13} +(0.928158 + 2.55009i) q^{14} +(-0.0128261 + 0.0352395i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-4.35271 - 0.767500i) q^{17} +2.99825 q^{18} +(2.41240 - 3.63047i) q^{19} +0.897286 q^{20} +(-0.0196949 + 0.111695i) q^{21} +(2.40632 + 2.28246i) q^{22} +(7.94098 + 2.89028i) q^{23} +(0.0142943 + 0.0392734i) q^{24} +(-3.21346 + 2.69642i) q^{25} +(1.13618 + 1.96793i) q^{26} +(0.217104 + 0.125345i) q^{27} +(2.67252 - 0.471238i) q^{28} +(-0.228566 - 1.29626i) q^{29} +(0.0324769 + 0.0187505i) q^{30} +(-4.92457 + 2.84320i) q^{31} +(0.766044 - 0.642788i) q^{32} +(0.0393991 + 0.132897i) q^{33} +(-1.51168 + 4.15331i) q^{34} +(1.56520 - 1.86533i) q^{35} +(0.520641 - 2.95270i) q^{36} -3.73539i q^{37} +(-3.15640 - 3.00618i) q^{38} +0.0949710i q^{39} +(0.155812 - 0.883655i) q^{40} +(-5.23763 - 4.39489i) q^{41} +(0.106578 + 0.0387913i) q^{42} +(3.20971 + 8.81861i) q^{43} +(2.66564 - 1.97342i) q^{44} +(-1.34515 - 2.32986i) q^{45} +(4.22531 - 7.31845i) q^{46} +(0.547427 + 3.10461i) q^{47} +(0.0411589 - 0.00725743i) q^{48} +(0.182227 - 0.315626i) q^{49} +(2.09744 + 3.63287i) q^{50} +(-0.141506 + 0.118738i) q^{51} +(2.13533 - 0.777195i) q^{52} +(2.08830 - 5.73755i) q^{53} +(0.161141 - 0.192040i) q^{54} +(0.694061 - 2.89390i) q^{55} -2.71375i q^{56} +(-0.0514247 - 0.174766i) q^{57} -1.31626 q^{58} +(-3.52865 - 0.622197i) q^{59} +(0.0241052 - 0.0287275i) q^{60} +(-4.68333 + 12.8673i) q^{61} +(1.94486 + 5.34347i) q^{62} +(-5.23005 - 6.23293i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.01948 - 1.76579i) q^{65} +(0.137720 - 0.0157232i) q^{66} +(10.1808 - 1.79514i) q^{67} +(3.82771 + 2.20993i) q^{68} +(0.305866 - 0.176592i) q^{69} +(-1.56520 - 1.86533i) q^{70} +(-3.82341 - 10.5047i) q^{71} +(-2.81744 - 1.02546i) q^{72} +(3.20646 - 3.82131i) q^{73} +(-3.67864 - 0.648643i) q^{74} +0.175320i q^{75} +(-3.50861 + 2.58643i) q^{76} +(0.547406 - 8.98384i) q^{77} +(0.0935282 + 0.0164915i) q^{78} +(-0.352076 - 0.295427i) q^{79} +(-0.843173 - 0.306890i) q^{80} +(-8.44246 + 3.07281i) q^{81} +(-5.23763 + 4.39489i) q^{82} +(3.56527 - 2.05841i) q^{83} +(0.0567091 - 0.0982230i) q^{84} +(3.90563 - 0.688667i) q^{85} +(9.24199 - 1.62961i) q^{86} +(-0.0476414 - 0.0275058i) q^{87} +(-1.48055 - 2.96782i) q^{88} +(5.32414 + 6.34506i) q^{89} +(-2.52805 + 0.920134i) q^{90} +(2.10912 - 5.79475i) q^{91} +(-6.47355 - 5.43195i) q^{92} +(-0.0412686 + 0.234046i) q^{93} +3.15251 q^{94} +(-0.919920 + 3.80146i) q^{95} -0.0417939i q^{96} +(10.1556 + 1.79070i) q^{97} +(-0.279188 - 0.234266i) q^{98} +(-9.12023 - 3.96310i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{3} + 3 q^{6} + 18 q^{7} - 30 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{3} + 3 q^{6} + 18 q^{7} - 30 q^{8} - 3 q^{9} + 3 q^{11} - 6 q^{13} - 12 q^{14} + 24 q^{15} + 6 q^{17} - 60 q^{18} + 30 q^{19} - 12 q^{20} - 12 q^{21} + 12 q^{22} - 3 q^{24} - 12 q^{25} + 6 q^{26} + 9 q^{27} - 6 q^{28} + 3 q^{29} - 9 q^{31} + 9 q^{33} - 6 q^{34} + 24 q^{35} - 3 q^{36} + 6 q^{38} - 15 q^{41} + 6 q^{42} + 3 q^{43} - 12 q^{44} - 48 q^{45} - 3 q^{46} + 54 q^{47} - 6 q^{48} + 6 q^{49} - 36 q^{50} + 45 q^{51} + 3 q^{52} + 24 q^{53} + 27 q^{54} - 48 q^{55} - 30 q^{57} + 24 q^{58} - 39 q^{59} + 12 q^{60} - 54 q^{61} + 66 q^{63} - 30 q^{64} - 30 q^{66} + 9 q^{67} + 27 q^{68} + 54 q^{69} - 24 q^{70} - 33 q^{71} + 6 q^{72} - 12 q^{74} + 18 q^{77} - 36 q^{79} - 93 q^{81} - 15 q^{82} + 36 q^{83} - 24 q^{84} + 60 q^{85} - 3 q^{86} - 54 q^{87} + 3 q^{88} - 3 q^{89} + 24 q^{90} - 12 q^{91} - 102 q^{93} + 12 q^{94} - 24 q^{95} - 6 q^{97} + 18 q^{98} + 75 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 0.984808i 0.122788 0.696364i
\(3\) 0.0268646 0.0320160i 0.0155103 0.0184844i −0.758234 0.651983i \(-0.773937\pi\)
0.773744 + 0.633499i \(0.218382\pi\)
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) −0.843173 + 0.306890i −0.377079 + 0.137245i −0.523605 0.851961i \(-0.675413\pi\)
0.146526 + 0.989207i \(0.453191\pi\)
\(6\) −0.0268646 0.0320160i −0.0109674 0.0130705i
\(7\) −2.35018 + 1.35688i −0.888284 + 0.512851i −0.873381 0.487038i \(-0.838077\pi\)
−0.0149032 + 0.999889i \(0.504744\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 0.520641 + 2.95270i 0.173547 + 0.984234i
\(10\) 0.155812 + 0.883655i 0.0492721 + 0.279436i
\(11\) −1.82993 + 2.76611i −0.551746 + 0.834012i
\(12\) −0.0361945 + 0.0208969i −0.0104485 + 0.00603242i
\(13\) −1.74073 + 1.46065i −0.482793 + 0.405111i −0.851435 0.524460i \(-0.824267\pi\)
0.368642 + 0.929571i \(0.379823\pi\)
\(14\) 0.928158 + 2.55009i 0.248061 + 0.681541i
\(15\) −0.0128261 + 0.0352395i −0.00331169 + 0.00909879i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) −4.35271 0.767500i −1.05569 0.186146i −0.381245 0.924474i \(-0.624505\pi\)
−0.674442 + 0.738328i \(0.735616\pi\)
\(18\) 2.99825 0.706695
\(19\) 2.41240 3.63047i 0.553443 0.832887i
\(20\) 0.897286 0.200639
\(21\) −0.0196949 + 0.111695i −0.00429777 + 0.0243739i
\(22\) 2.40632 + 2.28246i 0.513029 + 0.486623i
\(23\) 7.94098 + 2.89028i 1.65581 + 0.602665i 0.989696 0.143185i \(-0.0457343\pi\)
0.666114 + 0.745850i \(0.267957\pi\)
\(24\) 0.0142943 + 0.0392734i 0.00291782 + 0.00801665i
\(25\) −3.21346 + 2.69642i −0.642692 + 0.539283i
\(26\) 1.13618 + 1.96793i 0.222824 + 0.385942i
\(27\) 0.217104 + 0.125345i 0.0417817 + 0.0241227i
\(28\) 2.67252 0.471238i 0.505060 0.0890556i
\(29\) −0.228566 1.29626i −0.0424436 0.240710i 0.956204 0.292701i \(-0.0945542\pi\)
−0.998648 + 0.0519917i \(0.983443\pi\)
\(30\) 0.0324769 + 0.0187505i 0.00592944 + 0.00342336i
\(31\) −4.92457 + 2.84320i −0.884478 + 0.510654i −0.872132 0.489270i \(-0.837263\pi\)
−0.0123459 + 0.999924i \(0.503930\pi\)
\(32\) 0.766044 0.642788i 0.135419 0.113630i
\(33\) 0.0393991 + 0.132897i 0.00685851 + 0.0231345i
\(34\) −1.51168 + 4.15331i −0.259251 + 0.712286i
\(35\) 1.56520 1.86533i 0.264566 0.315298i
\(36\) 0.520641 2.95270i 0.0867735 0.492117i
\(37\) 3.73539i 0.614094i −0.951694 0.307047i \(-0.900659\pi\)
0.951694 0.307047i \(-0.0993408\pi\)
\(38\) −3.15640 3.00618i −0.512036 0.487667i
\(39\) 0.0949710i 0.0152075i
\(40\) 0.155812 0.883655i 0.0246361 0.139718i
\(41\) −5.23763 4.39489i −0.817980 0.686367i 0.134518 0.990911i \(-0.457051\pi\)
−0.952498 + 0.304545i \(0.901496\pi\)
\(42\) 0.106578 + 0.0387913i 0.0164454 + 0.00598563i
\(43\) 3.20971 + 8.81861i 0.489476 + 1.34482i 0.901155 + 0.433496i \(0.142720\pi\)
−0.411679 + 0.911329i \(0.635058\pi\)
\(44\) 2.66564 1.97342i 0.401860 0.297504i
\(45\) −1.34515 2.32986i −0.200523 0.347315i
\(46\) 4.22531 7.31845i 0.622988 1.07905i
\(47\) 0.547427 + 3.10461i 0.0798504 + 0.452854i 0.998349 + 0.0574310i \(0.0182909\pi\)
−0.918499 + 0.395423i \(0.870598\pi\)
\(48\) 0.0411589 0.00725743i 0.00594078 0.00104752i
\(49\) 0.182227 0.315626i 0.0260324 0.0450894i
\(50\) 2.09744 + 3.63287i 0.296623 + 0.513765i
\(51\) −0.141506 + 0.118738i −0.0198148 + 0.0166266i
\(52\) 2.13533 0.777195i 0.296117 0.107778i
\(53\) 2.08830 5.73755i 0.286850 0.788113i −0.709653 0.704552i \(-0.751148\pi\)
0.996503 0.0835617i \(-0.0266296\pi\)
\(54\) 0.161141 0.192040i 0.0219284 0.0261333i
\(55\) 0.694061 2.89390i 0.0935871 0.390213i
\(56\) 2.71375i 0.362640i
\(57\) −0.0514247 0.174766i −0.00681137 0.0231484i
\(58\) −1.31626 −0.172833
\(59\) −3.52865 0.622197i −0.459391 0.0810031i −0.0608369 0.998148i \(-0.519377\pi\)
−0.398555 + 0.917145i \(0.630488\pi\)
\(60\) 0.0241052 0.0287275i 0.00311197 0.00370870i
\(61\) −4.68333 + 12.8673i −0.599639 + 1.64749i 0.152356 + 0.988326i \(0.451314\pi\)
−0.751995 + 0.659169i \(0.770908\pi\)
\(62\) 1.94486 + 5.34347i 0.246998 + 0.678621i
\(63\) −5.23005 6.23293i −0.658925 0.785276i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 1.01948 1.76579i 0.126451 0.219020i
\(66\) 0.137720 0.0157232i 0.0169521 0.00193539i
\(67\) 10.1808 1.79514i 1.24378 0.219312i 0.487244 0.873266i \(-0.338002\pi\)
0.756534 + 0.653954i \(0.226891\pi\)
\(68\) 3.82771 + 2.20993i 0.464178 + 0.267993i
\(69\) 0.305866 0.176592i 0.0368220 0.0212592i
\(70\) −1.56520 1.86533i −0.187077 0.222949i
\(71\) −3.82341 10.5047i −0.453755 1.24668i −0.930062 0.367402i \(-0.880247\pi\)
0.476307 0.879279i \(-0.341975\pi\)
\(72\) −2.81744 1.02546i −0.332038 0.120852i
\(73\) 3.20646 3.82131i 0.375288 0.447251i −0.545033 0.838414i \(-0.683483\pi\)
0.920321 + 0.391164i \(0.127927\pi\)
\(74\) −3.67864 0.648643i −0.427633 0.0754032i
\(75\) 0.175320i 0.0202442i
\(76\) −3.50861 + 2.58643i −0.402465 + 0.296684i
\(77\) 0.547406 8.98384i 0.0623827 1.02380i
\(78\) 0.0935282 + 0.0164915i 0.0105900 + 0.00186730i
\(79\) −0.352076 0.295427i −0.0396117 0.0332382i 0.622767 0.782407i \(-0.286009\pi\)
−0.662379 + 0.749169i \(0.730453\pi\)
\(80\) −0.843173 0.306890i −0.0942696 0.0343113i
\(81\) −8.44246 + 3.07281i −0.938052 + 0.341423i
\(82\) −5.23763 + 4.39489i −0.578399 + 0.485334i
\(83\) 3.56527 2.05841i 0.391339 0.225940i −0.291401 0.956601i \(-0.594121\pi\)
0.682740 + 0.730661i \(0.260788\pi\)
\(84\) 0.0567091 0.0982230i 0.00618747 0.0107170i
\(85\) 3.90563 0.688667i 0.423625 0.0746964i
\(86\) 9.24199 1.62961i 0.996590 0.175726i
\(87\) −0.0476414 0.0275058i −0.00510769 0.00294893i
\(88\) −1.48055 2.96782i −0.157827 0.316371i
\(89\) 5.32414 + 6.34506i 0.564358 + 0.672575i 0.970463 0.241251i \(-0.0775577\pi\)
−0.406105 + 0.913826i \(0.633113\pi\)
\(90\) −2.52805 + 0.920134i −0.266480 + 0.0969906i
\(91\) 2.10912 5.79475i 0.221095 0.607455i
\(92\) −6.47355 5.43195i −0.674914 0.566320i
\(93\) −0.0412686 + 0.234046i −0.00427936 + 0.0242694i
\(94\) 3.15251 0.325156
\(95\) −0.919920 + 3.80146i −0.0943818 + 0.390021i
\(96\) 0.0417939i 0.00426557i
\(97\) 10.1556 + 1.79070i 1.03114 + 0.181818i 0.663522 0.748157i \(-0.269061\pi\)
0.367622 + 0.929976i \(0.380172\pi\)
\(98\) −0.279188 0.234266i −0.0282022 0.0236645i
\(99\) −9.12023 3.96310i −0.916618 0.398307i
\(100\) 3.94190 1.43473i 0.394190 0.143473i
\(101\) −5.58046 6.65053i −0.555277 0.661753i 0.413263 0.910612i \(-0.364389\pi\)
−0.968540 + 0.248859i \(0.919945\pi\)
\(102\) 0.0923614 + 0.159975i 0.00914514 + 0.0158399i
\(103\) −12.3964 7.15706i −1.22145 0.705206i −0.256226 0.966617i \(-0.582479\pi\)
−0.965228 + 0.261411i \(0.915812\pi\)
\(104\) −0.394592 2.23785i −0.0386930 0.219439i
\(105\) −0.0176719 0.100223i −0.00172460 0.00978072i
\(106\) −5.28776 3.05289i −0.513592 0.296523i
\(107\) 9.34493 + 16.1859i 0.903408 + 1.56475i 0.823040 + 0.567984i \(0.192276\pi\)
0.0803686 + 0.996765i \(0.474390\pi\)
\(108\) −0.161141 0.192040i −0.0155058 0.0184790i
\(109\) −16.1883 + 5.89205i −1.55056 + 0.564356i −0.968548 0.248827i \(-0.919955\pi\)
−0.582008 + 0.813183i \(0.697733\pi\)
\(110\) −2.72941 1.18604i −0.260239 0.113084i
\(111\) −0.119592 0.100350i −0.0113512 0.00952476i
\(112\) −2.67252 0.471238i −0.252530 0.0445278i
\(113\) 7.84800i 0.738278i −0.929374 0.369139i \(-0.879653\pi\)
0.929374 0.369139i \(-0.120347\pi\)
\(114\) −0.181041 + 0.0202956i −0.0169561 + 0.00190086i
\(115\) −7.58263 −0.707083
\(116\) −0.228566 + 1.29626i −0.0212218 + 0.120355i
\(117\) −5.21916 4.37940i −0.482512 0.404875i
\(118\) −1.22549 + 3.36700i −0.112815 + 0.309958i
\(119\) 11.2710 4.10232i 1.03322 0.376060i
\(120\) −0.0241052 0.0287275i −0.00220050 0.00262245i
\(121\) −4.30269 10.1236i −0.391153 0.920325i
\(122\) 11.8586 + 6.84657i 1.07363 + 0.619859i
\(123\) −0.281413 + 0.0496207i −0.0253742 + 0.00447415i
\(124\) 5.60001 0.987433i 0.502896 0.0886741i
\(125\) 4.12522 7.14509i 0.368971 0.639076i
\(126\) −7.04643 + 4.06826i −0.627746 + 0.362429i
\(127\) −8.01016 + 6.72132i −0.710786 + 0.596421i −0.924820 0.380406i \(-0.875784\pi\)
0.214033 + 0.976826i \(0.431340\pi\)
\(128\) −0.939693 + 0.342020i −0.0830579 + 0.0302306i
\(129\) 0.368564 + 0.134146i 0.0324502 + 0.0118109i
\(130\) −1.56194 1.31062i −0.136991 0.114949i
\(131\) 10.1404 + 1.78803i 0.885974 + 0.156221i 0.598075 0.801440i \(-0.295932\pi\)
0.287898 + 0.957661i \(0.407043\pi\)
\(132\) 0.00843048 0.138358i 0.000733779 0.0120425i
\(133\) −0.743483 + 11.8056i −0.0644681 + 1.02367i
\(134\) 10.3378i 0.893051i
\(135\) −0.221524 0.0390606i −0.0190657 0.00336180i
\(136\) 2.84103 3.38581i 0.243616 0.290330i
\(137\) 10.0848 + 3.67056i 0.861601 + 0.313597i 0.734761 0.678326i \(-0.237294\pi\)
0.126840 + 0.991923i \(0.459516\pi\)
\(138\) −0.120796 0.331884i −0.0102828 0.0282519i
\(139\) 11.2136 + 13.3639i 0.951126 + 1.13351i 0.990941 + 0.134301i \(0.0428790\pi\)
−0.0398142 + 0.999207i \(0.512677\pi\)
\(140\) −2.10878 + 1.21751i −0.178225 + 0.102898i
\(141\) 0.114103 + 0.0658777i 0.00960925 + 0.00554790i
\(142\) −11.0091 + 1.94119i −0.923860 + 0.162901i
\(143\) −0.854884 7.48795i −0.0714890 0.626174i
\(144\) −1.49913 + 2.59656i −0.124927 + 0.216380i
\(145\) 0.590530 + 1.02283i 0.0490409 + 0.0849413i
\(146\) −3.20646 3.82131i −0.265369 0.316254i
\(147\) −0.00520962 0.0143133i −0.000429683 0.00118054i
\(148\) −1.27758 + 3.51011i −0.105016 + 0.288530i
\(149\) 0.875460 1.04333i 0.0717205 0.0854732i −0.728991 0.684523i \(-0.760010\pi\)
0.800712 + 0.599050i \(0.204455\pi\)
\(150\) 0.172657 + 0.0304440i 0.0140974 + 0.00248574i
\(151\) 21.0348 1.71179 0.855893 0.517152i \(-0.173008\pi\)
0.855893 + 0.517152i \(0.173008\pi\)
\(152\) 1.93788 + 3.90444i 0.157183 + 0.316692i
\(153\) 13.2518i 1.07135i
\(154\) −8.75230 2.09912i −0.705280 0.169152i
\(155\) 3.27971 3.90861i 0.263433 0.313947i
\(156\) 0.0324820 0.0892436i 0.00260064 0.00714520i
\(157\) −10.7679 + 3.91918i −0.859369 + 0.312785i −0.733854 0.679307i \(-0.762280\pi\)
−0.125515 + 0.992092i \(0.540058\pi\)
\(158\) −0.352076 + 0.295427i −0.0280097 + 0.0235029i
\(159\) −0.127592 0.220996i −0.0101187 0.0175261i
\(160\) −0.448643 + 0.777073i −0.0354684 + 0.0614330i
\(161\) −22.5845 + 3.98225i −1.77991 + 0.313846i
\(162\) 1.56010 + 8.84779i 0.122573 + 0.695148i
\(163\) −2.08548 + 3.61215i −0.163347 + 0.282926i −0.936067 0.351822i \(-0.885562\pi\)
0.772720 + 0.634747i \(0.218896\pi\)
\(164\) 3.41862 + 5.92122i 0.266949 + 0.462370i
\(165\) −0.0740052 0.0999643i −0.00576130 0.00778221i
\(166\) −1.40803 3.86854i −0.109285 0.300257i
\(167\) 3.97800 + 1.44787i 0.307827 + 0.112040i 0.491315 0.870982i \(-0.336517\pi\)
−0.183488 + 0.983022i \(0.558739\pi\)
\(168\) −0.0868834 0.0729038i −0.00670320 0.00562465i
\(169\) −1.36077 + 7.71729i −0.104674 + 0.593638i
\(170\) 3.96588i 0.304169i
\(171\) 11.9757 + 5.23294i 0.915804 + 0.400173i
\(172\) 9.38457i 0.715566i
\(173\) 2.71735 15.4109i 0.206597 1.17167i −0.688311 0.725416i \(-0.741647\pi\)
0.894907 0.446252i \(-0.147241\pi\)
\(174\) −0.0353607 + 0.0421413i −0.00268069 + 0.00319472i
\(175\) 3.89351 10.6973i 0.294322 0.808642i
\(176\) −3.17983 + 0.942702i −0.239689 + 0.0710588i
\(177\) −0.114716 + 0.0962581i −0.00862258 + 0.00723520i
\(178\) 7.17319 4.14145i 0.537654 0.310414i
\(179\) 22.1656 + 12.7973i 1.65673 + 0.956516i 0.974207 + 0.225656i \(0.0724526\pi\)
0.682528 + 0.730860i \(0.260881\pi\)
\(180\) 0.467164 + 2.64942i 0.0348204 + 0.197476i
\(181\) −16.2432 + 2.86412i −1.20735 + 0.212888i −0.740873 0.671645i \(-0.765588\pi\)
−0.466476 + 0.884534i \(0.654477\pi\)
\(182\) −5.34047 3.08332i −0.395862 0.228551i
\(183\) 0.286145 + 0.495617i 0.0211524 + 0.0366371i
\(184\) −6.47355 + 5.43195i −0.477236 + 0.400449i
\(185\) 1.14635 + 3.14958i 0.0842815 + 0.231562i
\(186\) 0.223324 + 0.0812833i 0.0163749 + 0.00595998i
\(187\) 10.0882 10.6356i 0.737719 0.777751i
\(188\) 0.547427 3.10461i 0.0399252 0.226427i
\(189\) −0.680311 −0.0494854
\(190\) 3.58396 + 1.56606i 0.260008 + 0.113614i
\(191\) −3.15867 −0.228553 −0.114277 0.993449i \(-0.536455\pi\)
−0.114277 + 0.993449i \(0.536455\pi\)
\(192\) −0.0411589 0.00725743i −0.00297039 0.000523760i
\(193\) 10.1524 + 8.51889i 0.730787 + 0.613203i 0.930346 0.366683i \(-0.119507\pi\)
−0.199559 + 0.979886i \(0.563951\pi\)
\(194\) 3.52700 9.69034i 0.253224 0.695726i
\(195\) −0.0291457 0.0800770i −0.00208716 0.00573443i
\(196\) −0.279188 + 0.234266i −0.0199420 + 0.0167333i
\(197\) 7.62536 4.40250i 0.543284 0.313665i −0.203125 0.979153i \(-0.565110\pi\)
0.746409 + 0.665488i \(0.231776\pi\)
\(198\) −5.48660 + 8.29349i −0.389916 + 0.589392i
\(199\) 2.15156 + 12.2021i 0.152520 + 0.864983i 0.961018 + 0.276485i \(0.0891695\pi\)
−0.808499 + 0.588498i \(0.799719\pi\)
\(200\) −0.728433 4.13115i −0.0515080 0.292116i
\(201\) 0.216029 0.374172i 0.0152375 0.0263921i
\(202\) −7.51853 + 4.34083i −0.529002 + 0.305420i
\(203\) 2.29604 + 2.73631i 0.161150 + 0.192051i
\(204\) 0.173583 0.0631789i 0.0121532 0.00442341i
\(205\) 5.76498 + 2.09828i 0.402643 + 0.146550i
\(206\) −9.20094 + 10.9653i −0.641060 + 0.763986i
\(207\) −4.39974 + 24.9522i −0.305803 + 1.73430i
\(208\) −2.27237 −0.157560
\(209\) 5.62773 + 13.3165i 0.389278 + 0.921120i
\(210\) −0.101769 −0.00702270
\(211\) −2.48768 + 14.1083i −0.171259 + 0.971257i 0.771115 + 0.636696i \(0.219699\pi\)
−0.942374 + 0.334562i \(0.891412\pi\)
\(212\) −3.92472 + 4.67729i −0.269551 + 0.321238i
\(213\) −0.439033 0.159795i −0.0300820 0.0109490i
\(214\) 17.5627 6.39231i 1.20056 0.436969i
\(215\) −5.41268 6.45059i −0.369142 0.439926i
\(216\) −0.217104 + 0.125345i −0.0147721 + 0.00852865i
\(217\) 7.71574 13.3641i 0.523779 0.907211i
\(218\) 2.99147 + 16.9655i 0.202608 + 1.14905i
\(219\) −0.0362027 0.205316i −0.00244635 0.0138740i
\(220\) −1.64197 + 2.48199i −0.110702 + 0.167336i
\(221\) 8.69796 5.02177i 0.585088 0.337801i
\(222\) −0.119592 + 0.100350i −0.00802648 + 0.00673502i
\(223\) 0.996244 + 2.73716i 0.0667134 + 0.183294i 0.968570 0.248743i \(-0.0800174\pi\)
−0.901856 + 0.432036i \(0.857795\pi\)
\(224\) −0.928158 + 2.55009i −0.0620152 + 0.170385i
\(225\) −9.63477 8.08454i −0.642318 0.538969i
\(226\) −7.72877 1.36279i −0.514110 0.0906515i
\(227\) 19.5384 1.29681 0.648406 0.761295i \(-0.275436\pi\)
0.648406 + 0.761295i \(0.275436\pi\)
\(228\) −0.0114502 + 0.181815i −0.000758308 + 0.0120410i
\(229\) 29.6336 1.95825 0.979123 0.203270i \(-0.0651568\pi\)
0.979123 + 0.203270i \(0.0651568\pi\)
\(230\) −1.31671 + 7.46743i −0.0868212 + 0.492388i
\(231\) −0.272920 0.258873i −0.0179568 0.0170326i
\(232\) 1.23688 + 0.450187i 0.0812050 + 0.0295562i
\(233\) 5.36726 + 14.7464i 0.351621 + 0.966070i 0.981850 + 0.189661i \(0.0607388\pi\)
−0.630229 + 0.776409i \(0.717039\pi\)
\(234\) −5.21916 + 4.37940i −0.341187 + 0.286290i
\(235\) −1.41435 2.44973i −0.0922620 0.159803i
\(236\) 3.10305 + 1.79154i 0.201991 + 0.116620i
\(237\) −0.0189168 + 0.00333554i −0.00122878 + 0.000216666i
\(238\) −2.08280 11.8122i −0.135008 0.765670i
\(239\) −9.25680 5.34442i −0.598773 0.345702i 0.169786 0.985481i \(-0.445692\pi\)
−0.768559 + 0.639779i \(0.779026\pi\)
\(240\) −0.0324769 + 0.0187505i −0.00209637 + 0.00121034i
\(241\) −16.3719 + 13.7377i −1.05461 + 0.884921i −0.993571 0.113214i \(-0.963885\pi\)
−0.0610375 + 0.998135i \(0.519441\pi\)
\(242\) −10.7169 + 2.47938i −0.688911 + 0.159381i
\(243\) −0.385648 + 1.05956i −0.0247393 + 0.0679707i
\(244\) 8.80178 10.4896i 0.563476 0.671525i
\(245\) −0.0567863 + 0.322051i −0.00362794 + 0.0205751i
\(246\) 0.285754i 0.0182190i
\(247\) 1.10349 + 9.84336i 0.0702133 + 0.626318i
\(248\) 5.68640i 0.361087i
\(249\) 0.0298775 0.169444i 0.00189341 0.0107381i
\(250\) −6.32020 5.30328i −0.399725 0.335409i
\(251\) −2.62030 0.953709i −0.165392 0.0601976i 0.257997 0.966146i \(-0.416937\pi\)
−0.423389 + 0.905948i \(0.639160\pi\)
\(252\) 2.78285 + 7.64583i 0.175303 + 0.481642i
\(253\) −22.5263 + 16.6766i −1.41622 + 1.04845i
\(254\) 5.22826 + 9.05561i 0.328050 + 0.568199i
\(255\) 0.0828746 0.143543i 0.00518981 0.00898902i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) −5.92321 + 1.04442i −0.369479 + 0.0651492i −0.355305 0.934750i \(-0.615623\pi\)
−0.0141743 + 0.999900i \(0.504512\pi\)
\(258\) 0.196109 0.339670i 0.0122092 0.0211469i
\(259\) 5.06846 + 8.77882i 0.314939 + 0.545490i
\(260\) −1.56194 + 1.31062i −0.0968672 + 0.0812813i
\(261\) 3.70847 1.34977i 0.229549 0.0835489i
\(262\) 3.52174 9.67589i 0.217574 0.597778i
\(263\) 12.2887 14.6452i 0.757756 0.903059i −0.239947 0.970786i \(-0.577130\pi\)
0.997704 + 0.0677270i \(0.0215747\pi\)
\(264\) −0.134792 0.0323280i −0.00829588 0.00198965i
\(265\) 5.47863i 0.336549i
\(266\) 11.4971 + 2.78221i 0.704934 + 0.170588i
\(267\) 0.346174 0.0211855
\(268\) −10.1808 1.79514i −0.621889 0.109656i
\(269\) 5.21014 6.20920i 0.317668 0.378582i −0.583455 0.812145i \(-0.698300\pi\)
0.901123 + 0.433564i \(0.142744\pi\)
\(270\) −0.0769343 + 0.211375i −0.00468207 + 0.0128639i
\(271\) 3.42805 + 9.41848i 0.208239 + 0.572132i 0.999211 0.0397208i \(-0.0126468\pi\)
−0.790972 + 0.611852i \(0.790425\pi\)
\(272\) −2.84103 3.38581i −0.172263 0.205295i
\(273\) −0.128864 0.223199i −0.00779920 0.0135086i
\(274\) 5.36600 9.29419i 0.324172 0.561482i
\(275\) −1.57815 13.8230i −0.0951659 0.833561i
\(276\) −0.347818 + 0.0613298i −0.0209362 + 0.00369162i
\(277\) −7.04243 4.06595i −0.423139 0.244299i 0.273281 0.961934i \(-0.411891\pi\)
−0.696419 + 0.717635i \(0.745225\pi\)
\(278\) 15.1081 8.72264i 0.906121 0.523149i
\(279\) −10.9591 13.0605i −0.656102 0.781911i
\(280\) 0.832824 + 2.28816i 0.0497707 + 0.136744i
\(281\) −13.2095 4.80785i −0.788011 0.286812i −0.0835018 0.996508i \(-0.526610\pi\)
−0.704509 + 0.709695i \(0.748833\pi\)
\(282\) 0.0846907 0.100930i 0.00504326 0.00601032i
\(283\) −23.3488 4.11702i −1.38794 0.244731i −0.570762 0.821116i \(-0.693352\pi\)
−0.817179 + 0.576384i \(0.804463\pi\)
\(284\) 11.1789i 0.663345i
\(285\) 0.0969940 + 0.131577i 0.00574543 + 0.00779393i
\(286\) −7.52264 0.458372i −0.444823 0.0271041i
\(287\) 18.2727 + 3.22197i 1.07860 + 0.190187i
\(288\) 2.29680 + 1.92724i 0.135340 + 0.113564i
\(289\) 2.38224 + 0.867064i 0.140132 + 0.0510038i
\(290\) 1.10983 0.403946i 0.0651717 0.0237205i
\(291\) 0.330156 0.277034i 0.0193541 0.0162400i
\(292\) −4.32005 + 2.49418i −0.252812 + 0.145961i
\(293\) −3.22532 + 5.58643i −0.188425 + 0.326363i −0.944725 0.327862i \(-0.893672\pi\)
0.756300 + 0.654225i \(0.227005\pi\)
\(294\) −0.0150005 + 0.00264500i −0.000874848 + 0.000154259i
\(295\) 3.16621 0.558289i 0.184344 0.0325048i
\(296\) 3.23494 + 1.86769i 0.188027 + 0.108557i
\(297\) −0.744004 + 0.371160i −0.0431715 + 0.0215369i
\(298\) −0.875460 1.04333i −0.0507140 0.0604386i
\(299\) −18.0448 + 6.56778i −1.04356 + 0.379825i
\(300\) 0.0599630 0.164747i 0.00346197 0.00951167i
\(301\) −19.5092 16.3701i −1.12449 0.943558i
\(302\) 3.65265 20.7152i 0.210187 1.19203i
\(303\) −0.362840 −0.0208446
\(304\) 4.18163 1.23044i 0.239833 0.0705704i
\(305\) 12.2867i 0.703532i
\(306\) −13.0505 2.30116i −0.746049 0.131549i
\(307\) 4.80276 + 4.02999i 0.274108 + 0.230004i 0.769470 0.638683i \(-0.220520\pi\)
−0.495362 + 0.868686i \(0.664965\pi\)
\(308\) −3.58705 + 8.25482i −0.204391 + 0.470362i
\(309\) −0.562164 + 0.204611i −0.0319804 + 0.0116399i
\(310\) −3.27971 3.90861i −0.186275 0.221994i
\(311\) −13.1486 22.7741i −0.745591 1.29140i −0.949918 0.312499i \(-0.898834\pi\)
0.204327 0.978903i \(-0.434499\pi\)
\(312\) −0.0822473 0.0474855i −0.00465634 0.00268834i
\(313\) 0.231603 + 1.31349i 0.0130910 + 0.0742427i 0.990653 0.136403i \(-0.0435543\pi\)
−0.977562 + 0.210646i \(0.932443\pi\)
\(314\) 1.98982 + 11.2848i 0.112292 + 0.636840i
\(315\) 6.32267 + 3.65039i 0.356242 + 0.205676i
\(316\) 0.229802 + 0.398028i 0.0129274 + 0.0223908i
\(317\) 16.0267 + 19.0998i 0.900148 + 1.07275i 0.996996 + 0.0774551i \(0.0246794\pi\)
−0.0968481 + 0.995299i \(0.530876\pi\)
\(318\) −0.239794 + 0.0872780i −0.0134470 + 0.00489431i
\(319\) 4.00386 + 1.73983i 0.224173 + 0.0974120i
\(320\) 0.687361 + 0.576765i 0.0384247 + 0.0322421i
\(321\) 0.769254 + 0.135640i 0.0429356 + 0.00757070i
\(322\) 22.9329i 1.27800i
\(323\) −13.2869 + 13.9509i −0.739302 + 0.776246i
\(324\) 8.98428 0.499127
\(325\) 1.65527 9.38749i 0.0918177 0.520724i
\(326\) 3.19514 + 2.68104i 0.176962 + 0.148489i
\(327\) −0.246252 + 0.676570i −0.0136177 + 0.0374144i
\(328\) 6.42490 2.33847i 0.354756 0.129121i
\(329\) −5.49912 6.55360i −0.303177 0.361312i
\(330\) −0.111296 + 0.0555223i −0.00612667 + 0.00305640i
\(331\) 11.7611 + 6.79025i 0.646446 + 0.373226i 0.787093 0.616834i \(-0.211585\pi\)
−0.140647 + 0.990060i \(0.544918\pi\)
\(332\) −4.05427 + 0.714877i −0.222507 + 0.0392340i
\(333\) 11.0295 1.94480i 0.604412 0.106574i
\(334\) 2.11665 3.66614i 0.115818 0.200602i
\(335\) −8.03323 + 4.63799i −0.438902 + 0.253400i
\(336\) −0.0868834 + 0.0729038i −0.00473988 + 0.00397723i
\(337\) −28.0104 + 10.1949i −1.52582 + 0.555354i −0.962594 0.270948i \(-0.912663\pi\)
−0.563228 + 0.826302i \(0.690441\pi\)
\(338\) 7.36376 + 2.68019i 0.400536 + 0.145783i
\(339\) −0.251261 0.210833i −0.0136466 0.0114509i
\(340\) −3.90563 0.688667i −0.211812 0.0373482i
\(341\) 1.14704 18.8247i 0.0621155 1.01942i
\(342\) 7.23300 10.8851i 0.391116 0.588597i
\(343\) 18.0072i 0.972299i
\(344\) −9.24199 1.62961i −0.498295 0.0878628i
\(345\) −0.203704 + 0.242765i −0.0109671 + 0.0130700i
\(346\) −14.7049 5.35214i −0.790540 0.287733i
\(347\) 2.18771 + 6.01068i 0.117442 + 0.322670i 0.984460 0.175606i \(-0.0561886\pi\)
−0.867018 + 0.498277i \(0.833966\pi\)
\(348\) 0.0353607 + 0.0421413i 0.00189553 + 0.00225901i
\(349\) −3.53283 + 2.03968i −0.189108 + 0.109182i −0.591565 0.806257i \(-0.701490\pi\)
0.402457 + 0.915439i \(0.368156\pi\)
\(350\) −9.85871 5.69193i −0.526970 0.304246i
\(351\) −0.561006 + 0.0989204i −0.0299443 + 0.00527998i
\(352\) 0.376209 + 3.29522i 0.0200520 + 0.175636i
\(353\) 8.02125 13.8932i 0.426928 0.739461i −0.569670 0.821873i \(-0.692929\pi\)
0.996598 + 0.0824125i \(0.0262625\pi\)
\(354\) 0.0748755 + 0.129688i 0.00397959 + 0.00689285i
\(355\) 6.44759 + 7.68394i 0.342202 + 0.407821i
\(356\) −2.83292 7.78337i −0.150144 0.412518i
\(357\) 0.171452 0.471060i 0.00907420 0.0249312i
\(358\) 16.4519 19.6066i 0.869510 1.03624i
\(359\) −25.9093 4.56850i −1.36744 0.241116i −0.558741 0.829342i \(-0.688716\pi\)
−0.808697 + 0.588226i \(0.799827\pi\)
\(360\) 2.69029 0.141791
\(361\) −7.36061 17.5163i −0.387401 0.921911i
\(362\) 16.4938i 0.866895i
\(363\) −0.439706 0.134211i −0.0230786 0.00704425i
\(364\) −3.96384 + 4.72392i −0.207762 + 0.247601i
\(365\) −1.53088 + 4.20606i −0.0801299 + 0.220155i
\(366\) 0.537776 0.195734i 0.0281100 0.0102312i
\(367\) 5.50631 4.62034i 0.287427 0.241180i −0.487661 0.873033i \(-0.662150\pi\)
0.775088 + 0.631853i \(0.217705\pi\)
\(368\) 4.22531 + 7.31845i 0.220259 + 0.381501i
\(369\) 10.2499 17.7533i 0.533588 0.924201i
\(370\) 3.30079 0.582018i 0.171600 0.0302577i
\(371\) 2.87727 + 16.3178i 0.149381 + 0.847180i
\(372\) 0.118828 0.205817i 0.00616096 0.0106711i
\(373\) 11.9925 + 20.7716i 0.620947 + 1.07551i 0.989310 + 0.145830i \(0.0465852\pi\)
−0.368362 + 0.929682i \(0.620081\pi\)
\(374\) −8.72221 11.7817i −0.451015 0.609219i
\(375\) −0.117935 0.324023i −0.00609012 0.0167325i
\(376\) −2.96239 1.07822i −0.152773 0.0556050i
\(377\) 2.29126 + 1.92259i 0.118006 + 0.0990185i
\(378\) −0.118135 + 0.669976i −0.00607620 + 0.0344598i
\(379\) 25.2410i 1.29654i −0.761410 0.648270i \(-0.775493\pi\)
0.761410 0.648270i \(-0.224507\pi\)
\(380\) 2.16462 3.25757i 0.111043 0.167110i
\(381\) 0.437018i 0.0223891i
\(382\) −0.548497 + 3.11068i −0.0280635 + 0.159156i
\(383\) 10.5292 12.5482i 0.538016 0.641182i −0.426726 0.904381i \(-0.640333\pi\)
0.964742 + 0.263199i \(0.0847775\pi\)
\(384\) −0.0142943 + 0.0392734i −0.000729455 + 0.00200416i
\(385\) 2.29549 + 7.74293i 0.116989 + 0.394616i
\(386\) 10.1524 8.51889i 0.516744 0.433600i
\(387\) −24.3676 + 14.0687i −1.23868 + 0.715150i
\(388\) −8.93067 5.15612i −0.453386 0.261763i
\(389\) 1.92619 + 10.9239i 0.0976615 + 0.553866i 0.993899 + 0.110292i \(0.0351785\pi\)
−0.896238 + 0.443574i \(0.853710\pi\)
\(390\) −0.0839216 + 0.0147976i −0.00424953 + 0.000749307i
\(391\) −32.3465 18.6753i −1.63583 0.944448i
\(392\) 0.182227 + 0.315626i 0.00920384 + 0.0159415i
\(393\) 0.329664 0.276621i 0.0166293 0.0139537i
\(394\) −3.01149 8.27400i −0.151717 0.416838i
\(395\) 0.387525 + 0.141048i 0.0194985 + 0.00709688i
\(396\) 7.21475 + 6.84340i 0.362555 + 0.343894i
\(397\) −0.135022 + 0.765748i −0.00677656 + 0.0384318i −0.988009 0.154399i \(-0.950656\pi\)
0.981232 + 0.192831i \(0.0617669\pi\)
\(398\) 12.3903 0.621071
\(399\) 0.357994 + 0.340955i 0.0179221 + 0.0170691i
\(400\) −4.19488 −0.209744
\(401\) −1.42992 0.252133i −0.0714066 0.0125909i 0.137831 0.990456i \(-0.455987\pi\)
−0.209237 + 0.977865i \(0.567098\pi\)
\(402\) −0.330975 0.277721i −0.0165075 0.0138515i
\(403\) 4.41944 12.1423i 0.220148 0.604852i
\(404\) 2.96930 + 8.15809i 0.147728 + 0.405880i
\(405\) 6.17545 5.18182i 0.306860 0.257486i
\(406\) 3.09344 1.78600i 0.153525 0.0886377i
\(407\) 10.3325 + 6.83551i 0.512162 + 0.338823i
\(408\) −0.0320768 0.181916i −0.00158804 0.00900621i
\(409\) 1.70352 + 9.66113i 0.0842336 + 0.477712i 0.997519 + 0.0703929i \(0.0224253\pi\)
−0.913286 + 0.407319i \(0.866464\pi\)
\(410\) 3.06748 5.31303i 0.151492 0.262392i
\(411\) 0.388440 0.224266i 0.0191603 0.0110622i
\(412\) 9.20094 + 10.9653i 0.453298 + 0.540219i
\(413\) 9.13721 3.32567i 0.449613 0.163646i
\(414\) 23.8091 + 8.66580i 1.17015 + 0.425901i
\(415\) −2.37443 + 2.82974i −0.116556 + 0.138906i
\(416\) −0.394592 + 2.23785i −0.0193465 + 0.109719i
\(417\) 0.729106 0.0357045
\(418\) 14.0914 3.22984i 0.689234 0.157977i
\(419\) −34.6110 −1.69086 −0.845428 0.534089i \(-0.820655\pi\)
−0.845428 + 0.534089i \(0.820655\pi\)
\(420\) −0.0176719 + 0.100223i −0.000862302 + 0.00489036i
\(421\) −8.40885 + 10.0213i −0.409822 + 0.488407i −0.930989 0.365048i \(-0.881053\pi\)
0.521166 + 0.853455i \(0.325497\pi\)
\(422\) 13.4620 + 4.89977i 0.655320 + 0.238517i
\(423\) −8.88198 + 3.23278i −0.431857 + 0.157183i
\(424\) 3.92472 + 4.67729i 0.190601 + 0.227150i
\(425\) 16.0568 9.27038i 0.778867 0.449679i
\(426\) −0.233604 + 0.404615i −0.0113182 + 0.0196037i
\(427\) −6.45273 36.5952i −0.312269 1.77097i
\(428\) −3.24546 18.4059i −0.156875 0.889683i
\(429\) −0.262700 0.173791i −0.0126833 0.00839069i
\(430\) −7.29249 + 4.21032i −0.351675 + 0.203040i
\(431\) −14.4193 + 12.0993i −0.694555 + 0.582801i −0.920219 0.391404i \(-0.871989\pi\)
0.225663 + 0.974205i \(0.427545\pi\)
\(432\) 0.0857411 + 0.235572i 0.00412522 + 0.0113339i
\(433\) 9.77508 26.8568i 0.469760 1.29066i −0.448182 0.893942i \(-0.647928\pi\)
0.917942 0.396714i \(-0.129849\pi\)
\(434\) −11.8212 9.91916i −0.567436 0.476135i
\(435\) 0.0486112 + 0.00857146i 0.00233073 + 0.000410970i
\(436\) 17.2272 0.825033
\(437\) 29.6499 21.8570i 1.41835 1.04556i
\(438\) −0.208483 −0.00996171
\(439\) 5.12055 29.0401i 0.244391 1.38601i −0.577513 0.816381i \(-0.695977\pi\)
0.821904 0.569626i \(-0.192912\pi\)
\(440\) 2.15916 + 2.04802i 0.102934 + 0.0976356i
\(441\) 1.02682 + 0.373734i 0.0488964 + 0.0177968i
\(442\) −3.43509 9.43784i −0.163391 0.448912i
\(443\) 10.1951 8.55472i 0.484385 0.406447i −0.367624 0.929974i \(-0.619829\pi\)
0.852009 + 0.523527i \(0.175384\pi\)
\(444\) 0.0780581 + 0.135201i 0.00370447 + 0.00641634i
\(445\) −6.43641 3.71606i −0.305115 0.176158i
\(446\) 2.86857 0.505806i 0.135831 0.0239506i
\(447\) −0.00988443 0.0560574i −0.000467517 0.00265142i
\(448\) 2.35018 + 1.35688i 0.111036 + 0.0641064i
\(449\) −22.3719 + 12.9164i −1.05580 + 0.609565i −0.924267 0.381748i \(-0.875322\pi\)
−0.131530 + 0.991312i \(0.541989\pi\)
\(450\) −9.63477 + 8.08454i −0.454188 + 0.381109i
\(451\) 21.7412 6.44547i 1.02376 0.303506i
\(452\) −2.68417 + 7.37471i −0.126253 + 0.346877i
\(453\) 0.565091 0.673449i 0.0265503 0.0316414i
\(454\) 3.39281 19.2416i 0.159233 0.903053i
\(455\) 5.53324i 0.259403i
\(456\) 0.177065 + 0.0428481i 0.00829181 + 0.00200655i
\(457\) 13.3420i 0.624112i −0.950064 0.312056i \(-0.898982\pi\)
0.950064 0.312056i \(-0.101018\pi\)
\(458\) 5.14583 29.1834i 0.240449 1.36365i
\(459\) −0.848788 0.712218i −0.0396180 0.0332435i
\(460\) 7.12534 + 2.59341i 0.332221 + 0.120918i
\(461\) −0.901787 2.47764i −0.0420004 0.115395i 0.916919 0.399072i \(-0.130668\pi\)
−0.958920 + 0.283677i \(0.908446\pi\)
\(462\) −0.302332 + 0.223821i −0.0140658 + 0.0104131i
\(463\) −5.34893 9.26462i −0.248586 0.430564i 0.714548 0.699587i \(-0.246633\pi\)
−0.963134 + 0.269023i \(0.913299\pi\)
\(464\) 0.658129 1.13991i 0.0305529 0.0529191i
\(465\) −0.0370298 0.210006i −0.00171721 0.00973881i
\(466\) 15.4544 2.72503i 0.715911 0.126235i
\(467\) −5.96133 + 10.3253i −0.275858 + 0.477799i −0.970351 0.241700i \(-0.922295\pi\)
0.694494 + 0.719499i \(0.255628\pi\)
\(468\) 3.40657 + 5.90035i 0.157469 + 0.272744i
\(469\) −21.4908 + 18.0329i −0.992354 + 0.832684i
\(470\) −2.65811 + 0.967472i −0.122609 + 0.0446262i
\(471\) −0.163798 + 0.450031i −0.00754740 + 0.0207363i
\(472\) 2.30316 2.74480i 0.106012 0.126340i
\(473\) −30.2668 7.25906i −1.39167 0.333772i
\(474\) 0.0192086i 0.000882280i
\(475\) 2.03708 + 18.1712i 0.0934678 + 0.833753i
\(476\) −11.9944 −0.549762
\(477\) 18.0285 + 3.17892i 0.825470 + 0.145553i
\(478\) −6.87065 + 8.18812i −0.314256 + 0.374516i
\(479\) −0.916169 + 2.51715i −0.0418608 + 0.115012i −0.958862 0.283873i \(-0.908381\pi\)
0.917001 + 0.398885i \(0.130603\pi\)
\(480\) 0.0128261 + 0.0352395i 0.000585430 + 0.00160845i
\(481\) 5.45609 + 6.50231i 0.248776 + 0.296480i
\(482\) 10.6860 + 18.5087i 0.486734 + 0.843049i
\(483\) −0.479227 + 0.830046i −0.0218056 + 0.0377684i
\(484\) 0.580736 + 10.9847i 0.0263971 + 0.499303i
\(485\) −9.11246 + 1.60677i −0.413776 + 0.0729598i
\(486\) 0.976494 + 0.563779i 0.0442947 + 0.0255735i
\(487\) 19.6599 11.3506i 0.890874 0.514346i 0.0166457 0.999861i \(-0.494701\pi\)
0.874228 + 0.485515i \(0.161368\pi\)
\(488\) −8.80178 10.4896i −0.398438 0.474840i
\(489\) 0.0596210 + 0.163807i 0.00269616 + 0.00740763i
\(490\) 0.307298 + 0.111847i 0.0138823 + 0.00505274i
\(491\) −6.33654 + 7.55159i −0.285964 + 0.340799i −0.889834 0.456284i \(-0.849180\pi\)
0.603870 + 0.797083i \(0.293625\pi\)
\(492\) 0.281413 + 0.0496207i 0.0126871 + 0.00223708i
\(493\) 5.81767i 0.262015i
\(494\) 9.88544 + 0.622557i 0.444767 + 0.0280102i
\(495\) 8.90617 + 0.542674i 0.400303 + 0.0243914i
\(496\) −5.60001 0.987433i −0.251448 0.0443370i
\(497\) 23.2393 + 19.5001i 1.04242 + 0.874698i
\(498\) −0.161681 0.0588471i −0.00724511 0.00263700i
\(499\) −2.49909 + 0.909593i −0.111874 + 0.0407190i −0.397351 0.917667i \(-0.630070\pi\)
0.285476 + 0.958386i \(0.407848\pi\)
\(500\) −6.32020 + 5.30328i −0.282648 + 0.237170i
\(501\) 0.153222 0.0884629i 0.00684547 0.00395223i
\(502\) −1.39423 + 2.41488i −0.0622275 + 0.107781i
\(503\) −38.1310 + 6.72352i −1.70018 + 0.299787i −0.937756 0.347295i \(-0.887100\pi\)
−0.762421 + 0.647082i \(0.775989\pi\)
\(504\) 8.01291 1.41289i 0.356923 0.0629352i
\(505\) 6.74628 + 3.89497i 0.300205 + 0.173324i
\(506\) 12.5116 + 25.0799i 0.556207 + 1.11494i
\(507\) 0.210520 + 0.250888i 0.00934953 + 0.0111423i
\(508\) 9.82591 3.57634i 0.435954 0.158674i
\(509\) −5.57609 + 15.3202i −0.247156 + 0.679055i 0.752632 + 0.658442i \(0.228784\pi\)
−0.999788 + 0.0206134i \(0.993438\pi\)
\(510\) −0.126971 0.106542i −0.00562238 0.00471774i
\(511\) −2.35071 + 13.3315i −0.103989 + 0.589752i
\(512\) 1.00000 0.0441942
\(513\) 0.978804 0.485807i 0.0432153 0.0214489i
\(514\) 6.01458i 0.265292i
\(515\) 12.6487 + 2.23031i 0.557370 + 0.0982794i
\(516\) −0.300456 0.252112i −0.0132268 0.0110986i
\(517\) −9.58944 4.16699i −0.421743 0.183264i
\(518\) 9.52558 3.46703i 0.418530 0.152332i
\(519\) −0.420394 0.501006i −0.0184532 0.0219917i
\(520\) 1.01948 + 1.76579i 0.0447072 + 0.0774352i
\(521\) −21.3965 12.3533i −0.937398 0.541207i −0.0482543 0.998835i \(-0.515366\pi\)
−0.889144 + 0.457628i \(0.848699\pi\)
\(522\) −0.685298 3.88652i −0.0299947 0.170108i
\(523\) 0.0314977 + 0.178633i 0.00137730 + 0.00781106i 0.985489 0.169741i \(-0.0542932\pi\)
−0.984111 + 0.177552i \(0.943182\pi\)
\(524\) −8.91735 5.14843i −0.389556 0.224910i
\(525\) −0.237888 0.412034i −0.0103823 0.0179826i
\(526\) −12.2887 14.6452i −0.535815 0.638559i
\(527\) 23.6174 8.59601i 1.02879 0.374448i
\(528\) −0.0552433 + 0.127131i −0.00240415 + 0.00553265i
\(529\) 37.0865 + 31.1193i 1.61246 + 1.35301i
\(530\) 5.39540 + 0.951354i 0.234361 + 0.0413242i
\(531\) 10.7430i 0.466207i
\(532\) 4.73639 10.8393i 0.205349 0.469945i
\(533\) 15.5367 0.672970
\(534\) 0.0601125 0.340915i 0.00260132 0.0147528i
\(535\) −12.8467 10.7796i −0.555411 0.466045i
\(536\) −3.53574 + 9.71437i −0.152721 + 0.419597i
\(537\) 1.00519 0.365858i 0.0433770 0.0157880i
\(538\) −5.21014 6.20920i −0.224625 0.267698i
\(539\) 0.539592 + 1.08163i 0.0232419 + 0.0465892i
\(540\) 0.194805 + 0.112470i 0.00838305 + 0.00483996i
\(541\) −20.4361 + 3.60343i −0.878616 + 0.154924i −0.594721 0.803932i \(-0.702738\pi\)
−0.283894 + 0.958856i \(0.591627\pi\)
\(542\) 9.87066 1.74046i 0.423981 0.0747593i
\(543\) −0.344670 + 0.596986i −0.0147912 + 0.0256191i
\(544\) −3.82771 + 2.20993i −0.164112 + 0.0947499i
\(545\) 11.8413 9.93604i 0.507226 0.425613i
\(546\) −0.242185 + 0.0881481i −0.0103646 + 0.00377239i
\(547\) 3.79957 + 1.38293i 0.162458 + 0.0591298i 0.421969 0.906610i \(-0.361339\pi\)
−0.259511 + 0.965740i \(0.583561\pi\)
\(548\) −8.22119 6.89840i −0.351192 0.294685i
\(549\) −40.4318 7.12921i −1.72559 0.304267i
\(550\) −13.8871 0.846172i −0.592147 0.0360809i
\(551\) −5.25743 2.29730i −0.223974 0.0978684i
\(552\) 0.353184i 0.0150325i
\(553\) 1.22830 + 0.216583i 0.0522327 + 0.00921003i
\(554\) −5.22708 + 6.22939i −0.222077 + 0.264662i
\(555\) 0.131633 + 0.0479105i 0.00558751 + 0.00203369i
\(556\) −5.96664 16.3932i −0.253042 0.695227i
\(557\) 5.83473 + 6.95356i 0.247225 + 0.294632i 0.875359 0.483474i \(-0.160625\pi\)
−0.628133 + 0.778106i \(0.716181\pi\)
\(558\) −14.7651 + 8.52463i −0.625056 + 0.360876i
\(559\) −18.4681 10.6626i −0.781119 0.450980i
\(560\) 2.39802 0.422836i 0.101335 0.0178681i
\(561\) −0.0694943 0.608702i −0.00293405 0.0256994i
\(562\) −7.02861 + 12.1739i −0.296484 + 0.513525i
\(563\) 13.6114 + 23.5756i 0.573650 + 0.993591i 0.996187 + 0.0872454i \(0.0278064\pi\)
−0.422537 + 0.906346i \(0.638860\pi\)
\(564\) −0.0846907 0.100930i −0.00356612 0.00424994i
\(565\) 2.40847 + 6.61723i 0.101325 + 0.278389i
\(566\) −8.10894 + 22.2791i −0.340844 + 0.936462i
\(567\) 15.6719 18.6770i 0.658157 0.784361i
\(568\) 11.0091 + 1.94119i 0.461930 + 0.0814507i
\(569\) 23.1409 0.970116 0.485058 0.874482i \(-0.338798\pi\)
0.485058 + 0.874482i \(0.338798\pi\)
\(570\) 0.146421 0.0726724i 0.00613288 0.00304391i
\(571\) 26.8470i 1.12351i −0.827303 0.561755i \(-0.810126\pi\)
0.827303 0.561755i \(-0.189874\pi\)
\(572\) −1.75770 + 7.32876i −0.0734932 + 0.306431i
\(573\) −0.0848563 + 0.101128i −0.00354492 + 0.00422467i
\(574\) 6.34604 17.4356i 0.264878 0.727747i
\(575\) −33.3115 + 12.1244i −1.38918 + 0.505622i
\(576\) 2.29680 1.92724i 0.0956998 0.0803017i
\(577\) 2.75378 + 4.76969i 0.114641 + 0.198565i 0.917636 0.397421i \(-0.130095\pi\)
−0.802995 + 0.595986i \(0.796761\pi\)
\(578\) 1.26756 2.19548i 0.0527237 0.0913201i
\(579\) 0.545481 0.0961830i 0.0226694 0.00399723i
\(580\) −0.205089 1.16312i −0.00851586 0.0482958i
\(581\) −5.58601 + 9.67525i −0.231747 + 0.401397i
\(582\) −0.215494 0.373247i −0.00893253 0.0154716i
\(583\) 12.0492 + 16.2758i 0.499028 + 0.674074i
\(584\) 1.70612 + 4.68753i 0.0705998 + 0.193971i
\(585\) 5.74465 + 2.09088i 0.237512 + 0.0864473i
\(586\) 4.94148 + 4.14640i 0.204131 + 0.171286i
\(587\) −3.61685 + 20.5122i −0.149284 + 0.846629i 0.814544 + 0.580102i \(0.196987\pi\)
−0.963827 + 0.266527i \(0.914124\pi\)
\(588\) 0.0152319i 0.000628154i
\(589\) −1.55789 + 24.7374i −0.0641919 + 1.01929i
\(590\) 3.21506i 0.132362i
\(591\) 0.0639017 0.362405i 0.00262856 0.0149073i
\(592\) 2.40106 2.86147i 0.0986829 0.117606i
\(593\) 0.288279 0.792040i 0.0118382 0.0325252i −0.933633 0.358232i \(-0.883380\pi\)
0.945471 + 0.325706i \(0.105602\pi\)
\(594\) 0.236326 + 0.797152i 0.00969658 + 0.0327075i
\(595\) −8.24448 + 6.91794i −0.337991 + 0.283608i
\(596\) −1.17950 + 0.680987i −0.0483144 + 0.0278943i
\(597\) 0.448462 + 0.258920i 0.0183543 + 0.0105969i
\(598\) 3.33455 + 18.9112i 0.136360 + 0.773336i
\(599\) −2.70186 + 0.476411i −0.110395 + 0.0194656i −0.228573 0.973527i \(-0.573406\pi\)
0.118178 + 0.992992i \(0.462295\pi\)
\(600\) −0.151832 0.0876601i −0.00619850 0.00357871i
\(601\) 3.59963 + 6.23474i 0.146832 + 0.254320i 0.930055 0.367421i \(-0.119759\pi\)
−0.783223 + 0.621741i \(0.786426\pi\)
\(602\) −19.5092 + 16.3701i −0.795134 + 0.667196i
\(603\) 10.6010 + 29.1261i 0.431708 + 1.18611i
\(604\) −19.7662 7.19432i −0.804277 0.292733i
\(605\) 6.73474 + 7.21548i 0.273806 + 0.293351i
\(606\) −0.0630065 + 0.357328i −0.00255946 + 0.0145154i
\(607\) −10.7816 −0.437610 −0.218805 0.975769i \(-0.570216\pi\)
−0.218805 + 0.975769i \(0.570216\pi\)
\(608\) −0.485612 4.33176i −0.0196942 0.175676i
\(609\) 0.149288 0.00604944
\(610\) −12.1000 2.13356i −0.489915 0.0863852i
\(611\) −5.48767 4.60471i −0.222008 0.186286i
\(612\) −4.53240 + 12.4527i −0.183211 + 0.503369i
\(613\) −0.979402 2.69088i −0.0395577 0.108684i 0.918341 0.395790i \(-0.129529\pi\)
−0.957899 + 0.287106i \(0.907307\pi\)
\(614\) 4.80276 4.02999i 0.193824 0.162637i
\(615\) 0.222052 0.128202i 0.00895400 0.00516960i
\(616\) 7.50653 + 4.96599i 0.302447 + 0.200085i
\(617\) −1.38194 7.83734i −0.0556346 0.315520i 0.944272 0.329165i \(-0.106767\pi\)
−0.999907 + 0.0136458i \(0.995656\pi\)
\(618\) 0.103884 + 0.589154i 0.00417882 + 0.0236992i
\(619\) −14.8469 + 25.7156i −0.596748 + 1.03360i 0.396550 + 0.918013i \(0.370207\pi\)
−0.993298 + 0.115585i \(0.963126\pi\)
\(620\) −4.41875 + 2.55116i −0.177461 + 0.102457i
\(621\) 1.36174 + 1.62286i 0.0546446 + 0.0651229i
\(622\) −24.7114 + 8.99420i −0.990835 + 0.360635i
\(623\) −21.1221 7.68783i −0.846241 0.308007i
\(624\) −0.0610462 + 0.0727520i −0.00244380 + 0.00291241i
\(625\) 2.35665 13.3652i 0.0942658 0.534608i
\(626\) 1.33375 0.0533074
\(627\) 0.577526 + 0.177565i 0.0230642 + 0.00709125i
\(628\) 11.4589 0.457261
\(629\) −2.86691 + 16.2590i −0.114311 + 0.648290i
\(630\) 4.69286 5.59273i 0.186968 0.222820i
\(631\) 13.8465 + 5.03971i 0.551220 + 0.200628i 0.602589 0.798052i \(-0.294136\pi\)
−0.0513683 + 0.998680i \(0.516358\pi\)
\(632\) 0.431886 0.157194i 0.0171795 0.00625282i
\(633\) 0.384861 + 0.458660i 0.0152969 + 0.0182301i
\(634\) 21.5927 12.4665i 0.857555 0.495110i
\(635\) 4.69124 8.12547i 0.186166 0.322450i
\(636\) 0.0443122 + 0.251307i 0.00175709 + 0.00996497i
\(637\) 0.143811 + 0.815591i 0.00569798 + 0.0323149i
\(638\) 2.40866 3.64091i 0.0953599 0.144145i
\(639\) 29.0267 16.7586i 1.14828 0.662959i
\(640\) 0.687361 0.576765i 0.0271703 0.0227986i
\(641\) −0.324060 0.890348i −0.0127996 0.0351666i 0.933128 0.359544i \(-0.117068\pi\)
−0.945928 + 0.324377i \(0.894845\pi\)
\(642\) 0.267159 0.734014i 0.0105439 0.0289692i
\(643\) 33.5989 + 28.1928i 1.32501 + 1.11182i 0.985216 + 0.171316i \(0.0548019\pi\)
0.339794 + 0.940500i \(0.389643\pi\)
\(644\) 22.5845 + 3.98225i 0.889954 + 0.156923i
\(645\) −0.351931 −0.0138573
\(646\) 11.4317 + 15.5076i 0.449773 + 0.610137i
\(647\) −22.4094 −0.881005 −0.440503 0.897751i \(-0.645200\pi\)
−0.440503 + 0.897751i \(0.645200\pi\)
\(648\) 1.56010 8.84779i 0.0612867 0.347574i
\(649\) 8.17826 8.62205i 0.321025 0.338445i
\(650\) −8.95743 3.26024i −0.351339 0.127877i
\(651\) −0.220583 0.606046i −0.00864532 0.0237528i
\(652\) 3.19514 2.68104i 0.125131 0.104998i
\(653\) 15.5562 + 26.9442i 0.608763 + 1.05441i 0.991445 + 0.130528i \(0.0416672\pi\)
−0.382682 + 0.923880i \(0.624999\pi\)
\(654\) 0.623531 + 0.359996i 0.0243820 + 0.0140769i
\(655\) −9.09887 + 1.60438i −0.355522 + 0.0626882i
\(656\) −1.18727 6.73336i −0.0463552 0.262894i
\(657\) 12.9526 + 7.47819i 0.505329 + 0.291752i
\(658\) −7.40895 + 4.27756i −0.288831 + 0.166757i
\(659\) 4.07825 3.42206i 0.158866 0.133304i −0.559890 0.828567i \(-0.689156\pi\)
0.718756 + 0.695263i \(0.244712\pi\)
\(660\) 0.0353523 + 0.119247i 0.00137609 + 0.00464168i
\(661\) 1.14861 3.15578i 0.0446758 0.122746i −0.915348 0.402663i \(-0.868085\pi\)
0.960024 + 0.279917i \(0.0903070\pi\)
\(662\) 8.72937 10.4033i 0.339277 0.404334i
\(663\) 0.0728902 0.413381i 0.00283082 0.0160544i
\(664\) 4.11681i 0.159763i
\(665\) −2.99613 10.1823i −0.116185 0.394854i
\(666\) 11.1996i 0.433977i
\(667\) 1.93152 10.9542i 0.0747888 0.424149i
\(668\) −3.24289 2.72111i −0.125471 0.105283i
\(669\) 0.114396 + 0.0416369i 0.00442282 + 0.00160977i
\(670\) 3.17257 + 8.71657i 0.122567 + 0.336750i
\(671\) −27.0223 36.5010i −1.04318 1.40910i
\(672\) 0.0567091 + 0.0982230i 0.00218760 + 0.00378904i
\(673\) −15.1517 + 26.2435i −0.584055 + 1.01161i 0.410937 + 0.911664i \(0.365202\pi\)
−0.994992 + 0.0999498i \(0.968132\pi\)
\(674\) 5.17611 + 29.3552i 0.199376 + 1.13072i
\(675\) −1.03564 + 0.182611i −0.0398617 + 0.00702870i
\(676\) 3.91817 6.78648i 0.150699 0.261018i
\(677\) −9.36313 16.2174i −0.359854 0.623286i 0.628082 0.778147i \(-0.283840\pi\)
−0.987936 + 0.154861i \(0.950507\pi\)
\(678\) −0.251261 + 0.210833i −0.00964963 + 0.00809700i
\(679\) −26.2972 + 9.57140i −1.00919 + 0.367316i
\(680\) −1.35641 + 3.72670i −0.0520159 + 0.142913i
\(681\) 0.524892 0.625541i 0.0201139 0.0239708i
\(682\) −18.3396 4.39849i −0.702258 0.168427i
\(683\) 4.14767i 0.158706i 0.996847 + 0.0793531i \(0.0252854\pi\)
−0.996847 + 0.0793531i \(0.974715\pi\)
\(684\) −9.46370 9.01328i −0.361854 0.344632i
\(685\) −9.62968 −0.367931
\(686\) −17.7337 3.12692i −0.677074 0.119386i
\(687\) 0.796095 0.948749i 0.0303729 0.0361970i
\(688\) −3.20971 + 8.81861i −0.122369 + 0.336206i
\(689\) 4.74538 + 13.0378i 0.180785 + 0.496702i
\(690\) 0.203704 + 0.242765i 0.00775488 + 0.00924191i
\(691\) 7.07991 + 12.2628i 0.269332 + 0.466497i 0.968690 0.248275i \(-0.0798636\pi\)
−0.699357 + 0.714772i \(0.746530\pi\)
\(692\) −7.82431 + 13.5521i −0.297436 + 0.515174i
\(693\) 26.8116 3.06103i 1.01849 0.116279i
\(694\) 6.29926 1.11073i 0.239117 0.0421627i
\(695\) −13.5563 7.82671i −0.514218 0.296884i
\(696\) 0.0476414 0.0275058i 0.00180584 0.00104260i
\(697\) 19.4248 + 23.1496i 0.735766 + 0.876852i
\(698\) 1.39522 + 3.83334i 0.0528100 + 0.145094i
\(699\) 0.616310 + 0.224318i 0.0233110 + 0.00848450i
\(700\) −7.31740 + 8.72054i −0.276572 + 0.329606i
\(701\) 49.9111 + 8.80067i 1.88512 + 0.332397i 0.992875 0.119162i \(-0.0380207\pi\)
0.892241 + 0.451559i \(0.149132\pi\)
\(702\) 0.569660i 0.0215004i
\(703\) −13.5612 9.01126i −0.511470 0.339866i
\(704\) 3.31048 + 0.201716i 0.124769 + 0.00760244i
\(705\) −0.116426 0.0205291i −0.00438487 0.000773170i
\(706\) −12.2893 10.3119i −0.462512 0.388094i
\(707\) 22.1390 + 8.05795i 0.832624 + 0.303050i
\(708\) 0.140720 0.0512179i 0.00528858 0.00192489i
\(709\) 5.36413 4.50104i 0.201454 0.169040i −0.536480 0.843913i \(-0.680246\pi\)
0.737934 + 0.674873i \(0.235802\pi\)
\(710\) 8.68681 5.01533i 0.326010 0.188222i
\(711\) 0.689003 1.19339i 0.0258396 0.0447556i
\(712\) −8.15706 + 1.43831i −0.305699 + 0.0539029i
\(713\) −47.3236 + 8.34442i −1.77228 + 0.312501i
\(714\) −0.434132 0.250646i −0.0162470 0.00938019i
\(715\) 3.01879 + 6.05128i 0.112896 + 0.226305i
\(716\) −16.4519 19.6066i −0.614837 0.732734i
\(717\) −0.419787 + 0.152790i −0.0156772 + 0.00570604i
\(718\) −8.99819 + 24.7223i −0.335810 + 0.922629i
\(719\) 27.8373 + 23.3582i 1.03815 + 0.871115i 0.991799 0.127810i \(-0.0407948\pi\)
0.0463556 + 0.998925i \(0.485239\pi\)
\(720\) 0.467164 2.64942i 0.0174102 0.0987381i
\(721\) 38.8450 1.44666
\(722\) −18.5284 + 4.20711i −0.689554 + 0.156573i
\(723\) 0.893219i 0.0332192i
\(724\) 16.2432 + 2.86412i 0.603675 + 0.106444i
\(725\) 4.22975 + 3.54918i 0.157089 + 0.131813i
\(726\) −0.208526 + 0.409720i −0.00773913 + 0.0152061i
\(727\) −22.1181 + 8.05032i −0.820314 + 0.298570i −0.717877 0.696170i \(-0.754886\pi\)
−0.102437 + 0.994740i \(0.532664\pi\)
\(728\) 3.96384 + 4.72392i 0.146910 + 0.175080i
\(729\) −13.4529 23.3010i −0.498254 0.863001i
\(730\) 3.87632 + 2.23800i 0.143469 + 0.0828320i
\(731\) −7.20265 40.8483i −0.266400 1.51083i
\(732\) −0.0993770 0.563595i −0.00367308 0.0208311i
\(733\) 36.3907 + 21.0102i 1.34412 + 0.776028i 0.987409 0.158187i \(-0.0505648\pi\)
0.356711 + 0.934215i \(0.383898\pi\)
\(734\) −3.59399 6.22497i −0.132657 0.229768i
\(735\) 0.00878523 + 0.0104698i 0.000324048 + 0.000386186i
\(736\) 7.94098 2.89028i 0.292709 0.106537i
\(737\) −13.6646 + 31.4461i −0.503340 + 1.15833i
\(738\) −15.7037 13.1770i −0.578062 0.485052i
\(739\) 30.8141 + 5.43336i 1.13352 + 0.199869i 0.708768 0.705442i \(-0.249251\pi\)
0.424748 + 0.905311i \(0.360363\pi\)
\(740\) 3.35171i 0.123211i
\(741\) 0.344789 + 0.229108i 0.0126662 + 0.00841651i
\(742\) 16.5696 0.608288
\(743\) −8.87782 + 50.3486i −0.325696 + 1.84711i 0.179046 + 0.983841i \(0.442699\pi\)
−0.504741 + 0.863271i \(0.668412\pi\)
\(744\) −0.182055 0.152763i −0.00667448 0.00560055i
\(745\) −0.417976 + 1.14838i −0.0153135 + 0.0420734i
\(746\) 22.5385 8.20334i 0.825193 0.300346i
\(747\) 7.93409 + 9.45548i 0.290293 + 0.345958i
\(748\) −13.1173 + 6.54382i −0.479618 + 0.239266i
\(749\) −43.9245 25.3598i −1.60497 0.926628i
\(750\) −0.339579 + 0.0598770i −0.0123997 + 0.00218640i
\(751\) −47.5223 + 8.37947i −1.73411 + 0.305771i −0.949396 0.314081i \(-0.898304\pi\)
−0.784718 + 0.619852i \(0.787192\pi\)
\(752\) −1.57625 + 2.73015i −0.0574800 + 0.0995583i
\(753\) −0.100927 + 0.0582703i −0.00367799 + 0.00212349i
\(754\) 2.29126 1.92259i 0.0834426 0.0700167i
\(755\) −17.7360 + 6.45537i −0.645478 + 0.234935i
\(756\) 0.639283 + 0.232680i 0.0232505 + 0.00846249i
\(757\) −20.6895 17.3606i −0.751974 0.630981i 0.184050 0.982917i \(-0.441079\pi\)
−0.936024 + 0.351935i \(0.885524\pi\)
\(758\) −24.8575 4.38305i −0.902865 0.159199i
\(759\) −0.0712427 + 1.16921i −0.00258595 + 0.0424396i
\(760\) −2.83220 2.69740i −0.102735 0.0978451i
\(761\) 39.2062i 1.42122i −0.703584 0.710612i \(-0.748418\pi\)
0.703584 0.710612i \(-0.251582\pi\)
\(762\) 0.430379 + 0.0758874i 0.0155910 + 0.00274911i
\(763\) 30.0506 35.8129i 1.08790 1.29651i
\(764\) 2.96818 + 1.08033i 0.107385 + 0.0390849i
\(765\) 4.06686 + 11.1736i 0.147038 + 0.403983i
\(766\) −10.5292 12.5482i −0.380435 0.453384i
\(767\) 7.05126 4.07105i 0.254606 0.146997i
\(768\) 0.0361945 + 0.0208969i 0.00130606 + 0.000754053i
\(769\) 34.2081 6.03180i 1.23357 0.217512i 0.481414 0.876493i \(-0.340123\pi\)
0.752160 + 0.658981i \(0.229012\pi\)
\(770\) 8.02390 0.916073i 0.289161 0.0330130i
\(771\) −0.125686 + 0.217695i −0.00452648 + 0.00784010i
\(772\) −6.62652 11.4775i −0.238494 0.413083i
\(773\) −20.6616 24.6235i −0.743146 0.885647i 0.253512 0.967332i \(-0.418414\pi\)
−0.996658 + 0.0816850i \(0.973970\pi\)
\(774\) 9.62352 + 26.4404i 0.345910 + 0.950381i
\(775\) 8.15846 22.4152i 0.293061 0.805177i
\(776\) −6.62859 + 7.89964i −0.237952 + 0.283581i
\(777\) 0.417224 + 0.0735679i 0.0149678 + 0.00263923i
\(778\) 11.0925 0.397684
\(779\) −28.5908 + 8.41279i −1.02437 + 0.301420i
\(780\) 0.0852162i 0.00305123i
\(781\) 36.0537 + 8.64699i 1.29010 + 0.309414i
\(782\) −24.0085 + 28.6122i −0.858540 + 1.02317i
\(783\) 0.112857 0.310073i 0.00403319 0.0110811i
\(784\) 0.342474 0.124650i 0.0122312 0.00445180i
\(785\) 7.87642 6.60910i 0.281121 0.235889i
\(786\) −0.215173 0.372690i −0.00767496 0.0132934i
\(787\) 11.0447 19.1301i 0.393703 0.681913i −0.599232 0.800576i \(-0.704527\pi\)
0.992935 + 0.118662i \(0.0378606\pi\)
\(788\) −8.67124 + 1.52897i −0.308900 + 0.0544674i
\(789\) −0.138747 0.786872i −0.00493951 0.0280134i
\(790\) 0.206198 0.357145i 0.00733619 0.0127067i
\(791\) 10.6488 + 18.4442i 0.378627 + 0.655800i
\(792\) 7.99226 5.91680i 0.283993 0.210244i
\(793\) −10.6422 29.2393i −0.377917 1.03832i
\(794\) 0.730668 + 0.265942i 0.0259304 + 0.00943791i
\(795\) 0.175404 + 0.147181i 0.00622092 + 0.00521997i
\(796\) 2.15156 12.2021i 0.0762599 0.432491i
\(797\) 1.39103i 0.0492729i −0.999696 0.0246365i \(-0.992157\pi\)
0.999696 0.0246365i \(-0.00784282\pi\)
\(798\) 0.397940 0.293349i 0.0140869 0.0103844i
\(799\) 13.9336i 0.492936i
\(800\) −0.728433 + 4.13115i −0.0257540 + 0.146058i
\(801\) −15.9631 + 19.0241i −0.564029 + 0.672184i
\(802\) −0.496605 + 1.36441i −0.0175357 + 0.0481790i
\(803\) 4.70254 + 15.8622i 0.165949 + 0.559763i
\(804\) −0.330975 + 0.277721i −0.0116726 + 0.00979446i
\(805\) 17.8205 10.2887i 0.628091 0.362628i
\(806\) −11.1904 6.46079i −0.394166 0.227572i
\(807\) −0.0588253 0.333615i −0.00207075 0.0117438i
\(808\) 8.54976 1.50755i 0.300780 0.0530356i
\(809\) −38.9419 22.4831i −1.36913 0.790465i −0.378309 0.925679i \(-0.623494\pi\)
−0.990816 + 0.135214i \(0.956828\pi\)
\(810\) −4.03074 6.98144i −0.141626 0.245303i
\(811\) 17.7897 14.9274i 0.624683 0.524171i −0.274589 0.961562i \(-0.588542\pi\)
0.899272 + 0.437391i \(0.144097\pi\)
\(812\) −1.22170 3.35658i −0.0428731 0.117793i
\(813\) 0.393635 + 0.143271i 0.0138054 + 0.00502474i
\(814\) 8.52587 8.98853i 0.298832 0.315048i
\(815\) 0.649885 3.68568i 0.0227645 0.129104i
\(816\) −0.184723 −0.00646659
\(817\) 39.7588 + 9.62129i 1.39098 + 0.336606i
\(818\) 9.81017 0.343005
\(819\) 18.2083 + 3.21061i 0.636248 + 0.112188i
\(820\) −4.69965 3.94348i −0.164119 0.137712i
\(821\) 1.75730 4.82815i 0.0613302 0.168503i −0.905243 0.424894i \(-0.860311\pi\)
0.966573 + 0.256391i \(0.0825335\pi\)
\(822\) −0.153407 0.421482i −0.00535068 0.0147009i
\(823\) 13.7954 11.5758i 0.480879 0.403505i −0.369865 0.929085i \(-0.620596\pi\)
0.850744 + 0.525580i \(0.176152\pi\)
\(824\) 12.3964 7.15706i 0.431849 0.249328i
\(825\) −0.484954 0.320824i −0.0168839 0.0111697i
\(826\) −1.68849 9.57589i −0.0587500 0.333188i
\(827\) −6.60225 37.4432i −0.229583 1.30203i −0.853728 0.520719i \(-0.825664\pi\)
0.624145 0.781308i \(-0.285447\pi\)
\(828\) 12.6685 21.9426i 0.440262 0.762557i
\(829\) 45.1458 26.0649i 1.56798 0.905272i 0.571572 0.820552i \(-0.306334\pi\)
0.996405 0.0847203i \(-0.0269997\pi\)
\(830\) 2.37443 + 2.82974i 0.0824177 + 0.0982216i
\(831\) −0.319367 + 0.116240i −0.0110787 + 0.00403232i
\(832\) 2.13533 + 0.777195i 0.0740291 + 0.0269444i
\(833\) −1.03542 + 1.23397i −0.0358753 + 0.0427545i
\(834\) 0.126608 0.718029i 0.00438407 0.0248633i
\(835\) −3.79848 −0.131452
\(836\) −0.733827 14.4382i −0.0253799 0.499355i
\(837\) −1.42552 −0.0492733
\(838\) −6.01013 + 34.0852i −0.207617 + 1.17745i
\(839\) −14.0082 + 16.6943i −0.483615 + 0.576350i −0.951582 0.307396i \(-0.900542\pi\)
0.467966 + 0.883746i \(0.344987\pi\)
\(840\) 0.0956312 + 0.0348069i 0.00329959 + 0.00120095i
\(841\) 25.6230 9.32602i 0.883553 0.321587i
\(842\) 8.40885 + 10.0213i 0.289788 + 0.345356i
\(843\) −0.508795 + 0.293753i −0.0175238 + 0.0101174i
\(844\) 7.16299 12.4067i 0.246560 0.427055i
\(845\) −1.22100 6.92462i −0.0420036 0.238214i
\(846\) 1.64132 + 9.30841i 0.0564299 + 0.320030i
\(847\) 23.8485 + 17.9540i 0.819445 + 0.616907i
\(848\) 5.28776 3.05289i 0.181582 0.104837i
\(849\) −0.759065 + 0.636931i −0.0260510 + 0.0218594i
\(850\) −6.34131 17.4226i −0.217505 0.597591i
\(851\) 10.7963 29.6626i 0.370093 1.01682i
\(852\) 0.357903 + 0.300316i 0.0122615 + 0.0102887i
\(853\) 49.6597 + 8.75635i 1.70032 + 0.299812i 0.937805 0.347163i \(-0.112855\pi\)
0.762512 + 0.646974i \(0.223966\pi\)
\(854\) −37.1598 −1.27158
\(855\) −11.7035 0.737055i −0.400252 0.0252068i
\(856\) −18.6899 −0.638806
\(857\) 7.93738 45.0151i 0.271136 1.53769i −0.479840 0.877356i \(-0.659305\pi\)
0.750975 0.660330i \(-0.229584\pi\)
\(858\) −0.216768 + 0.228530i −0.00740033 + 0.00780190i
\(859\) −21.6671 7.88619i −0.739273 0.269073i −0.0551884 0.998476i \(-0.517576\pi\)
−0.684085 + 0.729403i \(0.739798\pi\)
\(860\) 2.88003 + 7.91282i 0.0982082 + 0.269825i
\(861\) 0.594042 0.498461i 0.0202449 0.0169875i
\(862\) 9.41156 + 16.3013i 0.320559 + 0.555224i
\(863\) 20.1318 + 11.6231i 0.685295 + 0.395655i 0.801847 0.597529i \(-0.203851\pi\)
−0.116552 + 0.993185i \(0.537184\pi\)
\(864\) 0.246882 0.0435319i 0.00839908 0.00148098i
\(865\) 2.43824 + 13.8280i 0.0829028 + 0.470165i
\(866\) −24.7514 14.2902i −0.841086 0.485601i
\(867\) 0.0917577 0.0529764i 0.00311626 0.00179917i
\(868\) −11.8212 + 9.91916i −0.401238 + 0.336678i
\(869\) 1.46146 0.433269i 0.0495766 0.0146976i
\(870\) 0.0168825 0.0463842i 0.000572370 0.00157257i
\(871\) −15.0999 + 17.9954i −0.511641 + 0.609750i
\(872\) 2.99147 16.9655i 0.101304 0.574524i
\(873\) 30.9187i 1.04644i
\(874\) −16.3763 32.9949i −0.553935 1.11607i
\(875\) 22.3896i 0.756908i
\(876\) −0.0362027 + 0.205316i −0.00122318 + 0.00693698i
\(877\) −3.92886 3.29670i −0.132668 0.111322i 0.574039 0.818828i \(-0.305376\pi\)
−0.706707 + 0.707506i \(0.749820\pi\)
\(878\) −27.7097 10.0855i −0.935158 0.340370i
\(879\) 0.0922078 + 0.253339i 0.00311009 + 0.00854491i
\(880\) 2.39184 1.77072i 0.0806290 0.0596909i
\(881\) −23.0524 39.9279i −0.776654 1.34520i −0.933860 0.357638i \(-0.883582\pi\)
0.157206 0.987566i \(-0.449751\pi\)
\(882\) 0.546362 0.946327i 0.0183970 0.0318645i
\(883\) −2.74441 15.5643i −0.0923566 0.523780i −0.995525 0.0944947i \(-0.969876\pi\)
0.903169 0.429286i \(-0.141235\pi\)
\(884\) −9.89095 + 1.74404i −0.332669 + 0.0586585i
\(885\) 0.0671848 0.116367i 0.00225839 0.00391165i
\(886\) −6.65439 11.5257i −0.223559 0.387215i
\(887\) 27.8260 23.3488i 0.934306 0.783976i −0.0422796 0.999106i \(-0.513462\pi\)
0.976585 + 0.215130i \(0.0690176\pi\)
\(888\) 0.146701 0.0533949i 0.00492297 0.00179181i
\(889\) 9.70530 26.6651i 0.325505 0.894319i
\(890\) −4.77728 + 5.69334i −0.160135 + 0.190841i
\(891\) 6.94944 28.9758i 0.232815 0.970725i
\(892\) 2.91282i 0.0975285i
\(893\) 12.5918 + 5.50216i 0.421369 + 0.184123i
\(894\) −0.0569222 −0.00190376
\(895\) −22.6168 3.98795i −0.755997 0.133303i
\(896\) 1.74437 2.07886i 0.0582752 0.0694497i
\(897\) −0.274493 + 0.754163i −0.00916505 + 0.0251808i
\(898\) 8.83537 + 24.2750i 0.294840 + 0.810066i
\(899\) 4.81112 + 5.73366i 0.160460 + 0.191228i
\(900\) 6.28865 + 10.8923i 0.209622 + 0.363076i
\(901\) −13.4933 + 23.3711i −0.449528 + 0.778605i
\(902\) −2.57223 22.5302i −0.0856458 0.750173i
\(903\) −1.04821 + 0.184828i −0.0348823 + 0.00615068i
\(904\) 6.79657 + 3.92400i 0.226051 + 0.130510i
\(905\) 12.8169 7.39983i 0.426048 0.245979i
\(906\) −0.565091 0.673449i −0.0187739 0.0223738i
\(907\) 13.8719 + 38.1127i 0.460608 + 1.26551i 0.925029 + 0.379896i \(0.124040\pi\)
−0.464421 + 0.885614i \(0.653738\pi\)
\(908\) −18.3601 6.68254i −0.609302 0.221768i
\(909\) 16.7316 19.9400i 0.554953 0.661368i
\(910\) 5.44918 + 0.960838i 0.180639 + 0.0318515i
\(911\) 10.9703i 0.363462i −0.983348 0.181731i \(-0.941830\pi\)
0.983348 0.181731i \(-0.0581701\pi\)
\(912\) 0.0729441 0.166934i 0.00241542 0.00552774i
\(913\) −0.830426 + 13.6286i −0.0274831 + 0.451042i
\(914\) −13.1393 2.31681i −0.434609 0.0766334i
\(915\) −0.393369 0.330076i −0.0130044 0.0109120i
\(916\) −27.8465 10.1353i −0.920074 0.334880i
\(917\) −26.2580 + 9.55712i −0.867114 + 0.315604i
\(918\) −0.848788 + 0.712218i −0.0280142 + 0.0235067i
\(919\) −7.67319 + 4.43012i −0.253115 + 0.146136i −0.621190 0.783660i \(-0.713350\pi\)
0.368075 + 0.929796i \(0.380017\pi\)
\(920\) 3.79131 6.56675i 0.124996 0.216499i
\(921\) 0.258048 0.0455009i 0.00850298 0.00149930i
\(922\) −2.59659 + 0.457849i −0.0855142 + 0.0150785i
\(923\) 21.9992 + 12.7013i 0.724114 + 0.418067i
\(924\) 0.167922 + 0.336605i 0.00552421 + 0.0110735i
\(925\) 10.0721 + 12.0035i 0.331170 + 0.394673i
\(926\) −10.0527 + 3.65889i −0.330352 + 0.120238i
\(927\) 14.6786 40.3291i 0.482109 1.32458i
\(928\) −1.00831 0.846074i −0.0330995 0.0277737i
\(929\) −8.05772 + 45.6976i −0.264365 + 1.49929i 0.506472 + 0.862256i \(0.330949\pi\)
−0.770837 + 0.637032i \(0.780162\pi\)
\(930\) −0.213246 −0.00699261
\(931\) −0.706266 1.42299i −0.0231469 0.0466365i
\(932\) 15.6928i 0.514035i
\(933\) −1.08237 0.190851i −0.0354351 0.00624817i
\(934\) 9.13329 + 7.66374i 0.298850 + 0.250765i
\(935\) −5.24211 + 12.0636i −0.171435 + 0.394522i
\(936\) 6.40225 2.33023i 0.209264 0.0761659i
\(937\) 7.76961 + 9.25946i 0.253822 + 0.302493i 0.877876 0.478888i \(-0.158960\pi\)
−0.624054 + 0.781381i \(0.714516\pi\)
\(938\) 14.0271 + 24.2957i 0.458002 + 0.793283i
\(939\) 0.0482745 + 0.0278713i 0.00157538 + 0.000909545i
\(940\) 0.491199 + 2.78573i 0.0160211 + 0.0908604i
\(941\) −1.37165 7.77899i −0.0447144 0.253588i 0.954254 0.298997i \(-0.0966520\pi\)
−0.998968 + 0.0454090i \(0.985541\pi\)
\(942\) 0.414750 + 0.239456i 0.0135133 + 0.00780191i
\(943\) −28.8894 50.0380i −0.940770 1.62946i
\(944\) −2.30316 2.74480i −0.0749616 0.0893358i
\(945\) 0.573620 0.208781i 0.0186599 0.00679164i
\(946\) −12.4045 + 28.5464i −0.403307 + 0.928124i
\(947\) −26.5533 22.2808i −0.862865 0.724030i 0.0997180 0.995016i \(-0.468206\pi\)
−0.962583 + 0.270986i \(0.912650\pi\)
\(948\) 0.0189168 + 0.00333554i 0.000614388 + 0.000108333i
\(949\) 11.3354i 0.367963i
\(950\) 18.2489 + 1.14926i 0.592072 + 0.0372870i
\(951\) 1.04205 0.0337908
\(952\) −2.08280 + 11.8122i −0.0675041 + 0.382835i
\(953\) 5.21285 + 4.37410i 0.168861 + 0.141691i 0.723302 0.690532i \(-0.242623\pi\)
−0.554441 + 0.832223i \(0.687068\pi\)
\(954\) 6.26125 17.2026i 0.202715 0.556956i
\(955\) 2.66330 0.969364i 0.0861825 0.0313679i
\(956\) 6.87065 + 8.18812i 0.222213 + 0.264823i
\(957\) 0.163264 0.0814474i 0.00527759 0.00263282i
\(958\) 2.31982 + 1.33935i 0.0749501 + 0.0432724i
\(959\) −28.6815 + 5.05733i −0.926175 + 0.163310i
\(960\) 0.0369313 0.00651199i 0.00119195 0.000210174i
\(961\) 0.667568 1.15626i 0.0215344 0.0372987i
\(962\) 7.35097 4.24408i 0.237005 0.136835i
\(963\) −42.9268 + 36.0198i −1.38330 + 1.16072i
\(964\) 20.0831 7.30966i 0.646834 0.235428i
\(965\) −11.1746 4.06722i −0.359723 0.130929i
\(966\) 0.734218 + 0.616082i 0.0236231 + 0.0198221i
\(967\) −28.8207 5.08187i −0.926811 0.163422i −0.310183 0.950677i \(-0.600390\pi\)
−0.616628 + 0.787255i \(0.711502\pi\)
\(968\) 10.9186 + 1.33555i 0.350938 + 0.0429263i
\(969\) 0.0897036 + 0.800176i 0.00288170 + 0.0257053i
\(970\) 9.25304i 0.297097i
\(971\) 5.96777 + 1.05228i 0.191515 + 0.0337693i 0.268583 0.963257i \(-0.413445\pi\)
−0.0770678 + 0.997026i \(0.524556\pi\)
\(972\) 0.724781 0.863760i 0.0232473 0.0277051i
\(973\) −44.4871 16.1920i −1.42619 0.519091i
\(974\) −7.76429 21.3322i −0.248784 0.683528i
\(975\) −0.256081 0.305186i −0.00820116 0.00977377i
\(976\) −11.8586 + 6.84657i −0.379585 + 0.219153i
\(977\) 19.3855 + 11.1922i 0.620197 + 0.358071i 0.776946 0.629568i \(-0.216768\pi\)
−0.156749 + 0.987638i \(0.550101\pi\)
\(978\) 0.171672 0.0302704i 0.00548946 0.000967940i
\(979\) −27.2939 + 3.11609i −0.872318 + 0.0995908i
\(980\) 0.163510 0.283207i 0.00522312 0.00904671i
\(981\) −25.8258 44.7315i −0.824553 1.42817i
\(982\) 6.33654 + 7.55159i 0.202207 + 0.240981i
\(983\) −0.00764237 0.0209972i −0.000243754 0.000669708i 0.939571 0.342355i \(-0.111225\pi\)
−0.939814 + 0.341685i \(0.889002\pi\)
\(984\) 0.0977338 0.268521i 0.00311564 0.00856015i
\(985\) −5.07842 + 6.05222i −0.161812 + 0.192840i
\(986\) 5.72929 + 1.01023i 0.182458 + 0.0321722i
\(987\) −0.357551 −0.0113810
\(988\) 2.32969 9.62715i 0.0741172 0.306280i
\(989\) 79.3054i 2.52176i
\(990\) 2.08097 8.67663i 0.0661376 0.275761i
\(991\) 3.71487 4.42721i 0.118007 0.140635i −0.703807 0.710391i \(-0.748518\pi\)
0.821814 + 0.569756i \(0.192962\pi\)
\(992\) −1.94486 + 5.34347i −0.0617495 + 0.169655i
\(993\) 0.533352 0.194124i 0.0169254 0.00616035i
\(994\) 23.2393 19.5001i 0.737106 0.618505i
\(995\) −5.55883 9.62818i −0.176227 0.305234i
\(996\) −0.0860288 + 0.149006i −0.00272593 + 0.00472144i
\(997\) −10.5569 + 1.86147i −0.334341 + 0.0589533i −0.338299 0.941039i \(-0.609851\pi\)
0.00395758 + 0.999992i \(0.498740\pi\)
\(998\) 0.461812 + 2.61907i 0.0146184 + 0.0829051i
\(999\) 0.468212 0.810967i 0.0148136 0.0256579i
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 418.2.q.b.21.6 yes 60
11.10 odd 2 418.2.q.a.21.6 60
19.10 odd 18 418.2.q.a.219.6 yes 60
209.10 even 18 inner 418.2.q.b.219.6 yes 60
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
418.2.q.a.21.6 60 11.10 odd 2
418.2.q.a.219.6 yes 60 19.10 odd 18
418.2.q.b.21.6 yes 60 1.1 even 1 trivial
418.2.q.b.219.6 yes 60 209.10 even 18 inner