Properties

Label 483.2.r.a.412.20
Level $483$
Weight $2$
Character 483.412
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(34,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 11, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.34");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.20
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.227214 + 0.146021i) q^{2} +(0.989821 - 0.142315i) q^{3} +(-0.800526 - 1.75291i) q^{4} +(1.03996 + 0.305361i) q^{5} +(0.245682 + 0.112199i) q^{6} +(-1.80110 - 1.93805i) q^{7} +(0.150947 - 1.04986i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(0.227214 + 0.146021i) q^{2} +(0.989821 - 0.142315i) q^{3} +(-0.800526 - 1.75291i) q^{4} +(1.03996 + 0.305361i) q^{5} +(0.245682 + 0.112199i) q^{6} +(-1.80110 - 1.93805i) q^{7} +(0.150947 - 1.04986i) q^{8} +(0.959493 - 0.281733i) q^{9} +(0.191705 + 0.221239i) q^{10} +(2.42939 + 3.78020i) q^{11} +(-1.04184 - 1.62114i) q^{12} +(2.38102 - 2.06316i) q^{13} +(-0.126238 - 0.703351i) q^{14} +(1.07284 + 0.154251i) q^{15} +(-2.33630 + 2.69624i) q^{16} +(2.18750 - 4.78996i) q^{17} +(0.259149 + 0.0760930i) q^{18} +(-2.28938 - 5.01305i) q^{19} +(-0.297249 - 2.06741i) q^{20} +(-2.05858 - 1.66200i) q^{21} +1.21366i q^{22} +(-0.277290 - 4.78781i) q^{23} -1.06065i q^{24} +(-3.21799 - 2.06807i) q^{25} +(0.842265 - 0.121099i) q^{26} +(0.909632 - 0.415415i) q^{27} +(-1.95540 + 4.70862i) q^{28} +(-0.778025 + 1.70364i) q^{29} +(0.221239 + 0.191705i) q^{30} +(6.66165 + 0.957801i) q^{31} +(-2.95993 + 0.869114i) q^{32} +(2.94264 + 3.39599i) q^{33} +(1.19647 - 0.768923i) q^{34} +(-1.28128 - 2.56549i) q^{35} +(-1.26195 - 1.45637i) q^{36} +(2.08577 + 7.10348i) q^{37} +(0.211833 - 1.47333i) q^{38} +(2.06316 - 2.38102i) q^{39} +(0.477566 - 1.04572i) q^{40} +(-3.11602 + 10.6122i) q^{41} +(-0.225050 - 0.678226i) q^{42} +(-1.39400 + 0.200427i) q^{43} +(4.68155 - 7.28464i) q^{44} +1.08387 q^{45} +(0.636118 - 1.12835i) q^{46} -1.11953i q^{47} +(-1.92881 + 3.00128i) q^{48} +(-0.512079 + 6.98124i) q^{49} +(-0.429187 - 0.939789i) q^{50} +(1.48355 - 5.05252i) q^{51} +(-5.52260 - 2.52209i) q^{52} +(-1.39483 - 1.20863i) q^{53} +(0.267340 + 0.0384377i) q^{54} +(1.37215 + 4.67312i) q^{55} +(-2.30655 + 1.59836i) q^{56} +(-2.97951 - 4.63621i) q^{57} +(-0.425546 + 0.273482i) q^{58} +(9.62852 - 8.34316i) q^{59} +(-0.588447 - 2.00407i) q^{60} +(-1.66120 + 11.5539i) q^{61} +(1.37376 + 1.19037i) q^{62} +(-2.27415 - 1.35212i) q^{63} +(6.04679 + 1.77550i) q^{64} +(3.10618 - 1.41855i) q^{65} +(0.172721 + 1.20130i) q^{66} +(-5.58129 + 8.68465i) q^{67} -10.1475 q^{68} +(-0.955844 - 4.69961i) q^{69} +(0.0834932 - 0.770008i) q^{70} +(8.57728 + 5.51229i) q^{71} +(-0.150947 - 1.04986i) q^{72} +(12.5808 - 5.74545i) q^{73} +(-0.563345 + 1.91858i) q^{74} +(-3.47955 - 1.58906i) q^{75} +(-6.95470 + 8.02616i) q^{76} +(2.95065 - 11.5168i) q^{77} +(0.816458 - 0.239734i) q^{78} +(-6.67014 + 5.77971i) q^{79} +(-3.25300 + 2.09058i) q^{80} +(0.841254 - 0.540641i) q^{81} +(-2.25761 + 1.95623i) q^{82} +(0.695752 - 0.204291i) q^{83} +(-1.26539 + 4.93898i) q^{84} +(3.73760 - 4.31342i) q^{85} +(-0.346003 - 0.158014i) q^{86} +(-0.527653 + 1.79702i) q^{87} +(4.33539 - 1.97990i) q^{88} +(1.66375 + 11.5717i) q^{89} +(0.246270 + 0.158268i) q^{90} +(-8.28696 - 0.898568i) q^{91} +(-8.17061 + 4.31883i) q^{92} +6.73016 q^{93} +(0.163475 - 0.254371i) q^{94} +(-0.850087 - 5.91249i) q^{95} +(-2.80611 + 1.28151i) q^{96} +(7.69464 + 2.25935i) q^{97} +(-1.13576 + 1.51146i) q^{98} +(3.39599 + 2.94264i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.227214 + 0.146021i 0.160664 + 0.103253i 0.618502 0.785783i \(-0.287740\pi\)
−0.457838 + 0.889036i \(0.651376\pi\)
\(3\) 0.989821 0.142315i 0.571474 0.0821655i
\(4\) −0.800526 1.75291i −0.400263 0.876454i
\(5\) 1.03996 + 0.305361i 0.465086 + 0.136562i 0.505876 0.862606i \(-0.331169\pi\)
−0.0407898 + 0.999168i \(0.512987\pi\)
\(6\) 0.245682 + 0.112199i 0.100299 + 0.0458051i
\(7\) −1.80110 1.93805i −0.680752 0.732514i
\(8\) 0.150947 1.04986i 0.0533678 0.371181i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) 0.191705 + 0.221239i 0.0606224 + 0.0699620i
\(11\) 2.42939 + 3.78020i 0.732488 + 1.13977i 0.985063 + 0.172196i \(0.0550862\pi\)
−0.252575 + 0.967577i \(0.581277\pi\)
\(12\) −1.04184 1.62114i −0.300754 0.467983i
\(13\) 2.38102 2.06316i 0.660375 0.572218i −0.258866 0.965913i \(-0.583349\pi\)
0.919241 + 0.393695i \(0.128803\pi\)
\(14\) −0.126238 0.703351i −0.0337385 0.187978i
\(15\) 1.07284 + 0.154251i 0.277005 + 0.0398274i
\(16\) −2.33630 + 2.69624i −0.584075 + 0.674059i
\(17\) 2.18750 4.78996i 0.530547 1.16174i −0.434742 0.900555i \(-0.643161\pi\)
0.965290 0.261182i \(-0.0841122\pi\)
\(18\) 0.259149 + 0.0760930i 0.0610820 + 0.0179353i
\(19\) −2.28938 5.01305i −0.525221 1.15007i −0.967425 0.253158i \(-0.918531\pi\)
0.442204 0.896914i \(-0.354197\pi\)
\(20\) −0.297249 2.06741i −0.0664669 0.462287i
\(21\) −2.05858 1.66200i −0.449219 0.362678i
\(22\) 1.21366i 0.258752i
\(23\) −0.277290 4.78781i −0.0578190 0.998327i
\(24\) 1.06065i 0.216505i
\(25\) −3.21799 2.06807i −0.643597 0.413615i
\(26\) 0.842265 0.121099i 0.165182 0.0237495i
\(27\) 0.909632 0.415415i 0.175059 0.0799467i
\(28\) −1.95540 + 4.70862i −0.369535 + 0.889846i
\(29\) −0.778025 + 1.70364i −0.144476 + 0.316358i −0.968011 0.250907i \(-0.919271\pi\)
0.823535 + 0.567265i \(0.191998\pi\)
\(30\) 0.221239 + 0.191705i 0.0403926 + 0.0350004i
\(31\) 6.66165 + 0.957801i 1.19647 + 0.172026i 0.711615 0.702569i \(-0.247964\pi\)
0.484853 + 0.874596i \(0.338873\pi\)
\(32\) −2.95993 + 0.869114i −0.523247 + 0.153639i
\(33\) 2.94264 + 3.39599i 0.512248 + 0.591165i
\(34\) 1.19647 0.768923i 0.205192 0.131869i
\(35\) −1.28128 2.56549i −0.216575 0.433647i
\(36\) −1.26195 1.45637i −0.210325 0.242728i
\(37\) 2.08577 + 7.10348i 0.342899 + 1.16781i 0.932819 + 0.360344i \(0.117341\pi\)
−0.589921 + 0.807461i \(0.700841\pi\)
\(38\) 0.211833 1.47333i 0.0343639 0.239006i
\(39\) 2.06316 2.38102i 0.330370 0.381268i
\(40\) 0.477566 1.04572i 0.0755098 0.165343i
\(41\) −3.11602 + 10.6122i −0.486640 + 1.65734i 0.240343 + 0.970688i \(0.422740\pi\)
−0.726983 + 0.686655i \(0.759078\pi\)
\(42\) −0.225050 0.678226i −0.0347260 0.104653i
\(43\) −1.39400 + 0.200427i −0.212583 + 0.0305649i −0.247784 0.968815i \(-0.579702\pi\)
0.0352003 + 0.999380i \(0.488793\pi\)
\(44\) 4.68155 7.28464i 0.705771 1.09820i
\(45\) 1.08387 0.161574
\(46\) 0.636118 1.12835i 0.0937905 0.166365i
\(47\) 1.11953i 0.163300i −0.996661 0.0816498i \(-0.973981\pi\)
0.996661 0.0816498i \(-0.0260189\pi\)
\(48\) −1.92881 + 3.00128i −0.278399 + 0.433198i
\(49\) −0.512079 + 6.98124i −0.0731541 + 0.997321i
\(50\) −0.429187 0.939789i −0.0606963 0.132906i
\(51\) 1.48355 5.05252i 0.207739 0.707495i
\(52\) −5.52260 2.52209i −0.765847 0.349750i
\(53\) −1.39483 1.20863i −0.191595 0.166018i 0.553781 0.832662i \(-0.313184\pi\)
−0.745376 + 0.666645i \(0.767730\pi\)
\(54\) 0.267340 + 0.0384377i 0.0363804 + 0.00523071i
\(55\) 1.37215 + 4.67312i 0.185021 + 0.630123i
\(56\) −2.30655 + 1.59836i −0.308226 + 0.213590i
\(57\) −2.97951 4.63621i −0.394646 0.614081i
\(58\) −0.425546 + 0.273482i −0.0558769 + 0.0359099i
\(59\) 9.62852 8.34316i 1.25353 1.08619i 0.260851 0.965379i \(-0.415997\pi\)
0.992676 0.120808i \(-0.0385486\pi\)
\(60\) −0.588447 2.00407i −0.0759682 0.258724i
\(61\) −1.66120 + 11.5539i −0.212695 + 1.47932i 0.551412 + 0.834233i \(0.314089\pi\)
−0.764106 + 0.645090i \(0.776820\pi\)
\(62\) 1.37376 + 1.19037i 0.174468 + 0.151177i
\(63\) −2.27415 1.35212i −0.286517 0.170351i
\(64\) 6.04679 + 1.77550i 0.755849 + 0.221937i
\(65\) 3.10618 1.41855i 0.385275 0.175949i
\(66\) 0.172721 + 1.20130i 0.0212605 + 0.147870i
\(67\) −5.58129 + 8.68465i −0.681863 + 1.06100i 0.311968 + 0.950093i \(0.399012\pi\)
−0.993831 + 0.110907i \(0.964625\pi\)
\(68\) −10.1475 −1.23057
\(69\) −0.955844 4.69961i −0.115070 0.565767i
\(70\) 0.0834932 0.770008i 0.00997934 0.0920336i
\(71\) 8.57728 + 5.51229i 1.01794 + 0.654188i 0.939435 0.342726i \(-0.111350\pi\)
0.0785010 + 0.996914i \(0.474987\pi\)
\(72\) −0.150947 1.04986i −0.0177893 0.123727i
\(73\) 12.5808 5.74545i 1.47247 0.672454i 0.492265 0.870446i \(-0.336169\pi\)
0.980204 + 0.197992i \(0.0634420\pi\)
\(74\) −0.563345 + 1.91858i −0.0654875 + 0.223030i
\(75\) −3.47955 1.58906i −0.401784 0.183488i
\(76\) −6.95470 + 8.02616i −0.797759 + 0.920663i
\(77\) 2.95065 11.5168i 0.336258 1.31246i
\(78\) 0.816458 0.239734i 0.0924456 0.0271445i
\(79\) −6.67014 + 5.77971i −0.750450 + 0.650268i −0.943670 0.330887i \(-0.892652\pi\)
0.193221 + 0.981155i \(0.438107\pi\)
\(80\) −3.25300 + 2.09058i −0.363696 + 0.233733i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) −2.25761 + 1.95623i −0.249311 + 0.216029i
\(83\) 0.695752 0.204291i 0.0763688 0.0224239i −0.243325 0.969945i \(-0.578238\pi\)
0.319694 + 0.947521i \(0.396420\pi\)
\(84\) −1.26539 + 4.93898i −0.138065 + 0.538887i
\(85\) 3.73760 4.31342i 0.405399 0.467856i
\(86\) −0.346003 0.158014i −0.0373104 0.0170391i
\(87\) −0.527653 + 1.79702i −0.0565704 + 0.192661i
\(88\) 4.33539 1.97990i 0.462154 0.211059i
\(89\) 1.66375 + 11.5717i 0.176358 + 1.22659i 0.865104 + 0.501592i \(0.167252\pi\)
−0.688747 + 0.725002i \(0.741839\pi\)
\(90\) 0.246270 + 0.158268i 0.0259591 + 0.0166829i
\(91\) −8.28696 0.898568i −0.868709 0.0941955i
\(92\) −8.17061 + 4.31883i −0.851845 + 0.450269i
\(93\) 6.73016 0.697885
\(94\) 0.163475 0.254371i 0.0168611 0.0262364i
\(95\) −0.850087 5.91249i −0.0872171 0.606608i
\(96\) −2.80611 + 1.28151i −0.286398 + 0.130794i
\(97\) 7.69464 + 2.25935i 0.781272 + 0.229402i 0.647963 0.761672i \(-0.275621\pi\)
0.133310 + 0.991074i \(0.457439\pi\)
\(98\) −1.13576 + 1.51146i −0.114729 + 0.152680i
\(99\) 3.39599 + 2.94264i 0.341309 + 0.295746i
\(100\) −1.04906 + 7.29638i −0.104906 + 0.729638i
\(101\) 2.70718 + 9.21979i 0.269374 + 0.917404i 0.977432 + 0.211250i \(0.0677533\pi\)
−0.708058 + 0.706154i \(0.750429\pi\)
\(102\) 1.07486 0.931371i 0.106427 0.0922195i
\(103\) −8.38523 + 5.38886i −0.826221 + 0.530980i −0.884075 0.467345i \(-0.845211\pi\)
0.0578537 + 0.998325i \(0.481574\pi\)
\(104\) −1.80662 2.81116i −0.177154 0.275657i
\(105\) −1.63334 2.35703i −0.159398 0.230023i
\(106\) −0.140439 0.478292i −0.0136407 0.0464558i
\(107\) −5.56322 0.799870i −0.537816 0.0773263i −0.131946 0.991257i \(-0.542123\pi\)
−0.405870 + 0.913931i \(0.633032\pi\)
\(108\) −1.45637 1.26195i −0.140139 0.121431i
\(109\) −2.82030 1.28799i −0.270135 0.123367i 0.275742 0.961232i \(-0.411076\pi\)
−0.545878 + 0.837865i \(0.683804\pi\)
\(110\) −0.370603 + 1.26216i −0.0353356 + 0.120342i
\(111\) 3.07547 + 6.73434i 0.291911 + 0.639196i
\(112\) 9.43335 0.328320i 0.891368 0.0310233i
\(113\) 4.77648 7.43234i 0.449333 0.699176i −0.540510 0.841337i \(-0.681769\pi\)
0.989843 + 0.142161i \(0.0454052\pi\)
\(114\) 1.48848i 0.139409i
\(115\) 1.17364 5.06383i 0.109442 0.472204i
\(116\) 3.60915 0.335101
\(117\) 1.70331 2.65040i 0.157471 0.245029i
\(118\) 3.40601 0.489711i 0.313549 0.0450815i
\(119\) −13.2231 + 4.38771i −1.21216 + 0.402221i
\(120\) 0.323883 1.10304i 0.0295663 0.100694i
\(121\) −3.81843 + 8.36119i −0.347130 + 0.760108i
\(122\) −2.06456 + 2.38263i −0.186917 + 0.215713i
\(123\) −1.57403 + 10.9476i −0.141925 + 0.987113i
\(124\) −3.65389 12.4440i −0.328129 1.11751i
\(125\) −6.26400 7.22904i −0.560269 0.646585i
\(126\) −0.319281 0.639295i −0.0284438 0.0569529i
\(127\) −7.42569 + 4.77220i −0.658924 + 0.423465i −0.826917 0.562323i \(-0.809908\pi\)
0.167994 + 0.985788i \(0.446271\pi\)
\(128\) 5.15500 + 5.94919i 0.455642 + 0.525839i
\(129\) −1.35129 + 0.396774i −0.118974 + 0.0349340i
\(130\) 0.912905 + 0.131256i 0.0800671 + 0.0115119i
\(131\) −14.9580 12.9612i −1.30689 1.13243i −0.982451 0.186520i \(-0.940279\pi\)
−0.324439 0.945907i \(-0.605175\pi\)
\(132\) 3.59719 7.87675i 0.313095 0.685583i
\(133\) −5.59214 + 13.4659i −0.484900 + 1.16765i
\(134\) −2.53629 + 1.15828i −0.219102 + 0.100061i
\(135\) 1.07284 0.154251i 0.0923351 0.0132758i
\(136\) −4.69859 3.01960i −0.402901 0.258929i
\(137\) 2.80847i 0.239944i −0.992777 0.119972i \(-0.961719\pi\)
0.992777 0.119972i \(-0.0382805\pi\)
\(138\) 0.469063 1.20739i 0.0399293 0.102780i
\(139\) 11.5201i 0.977123i −0.872529 0.488562i \(-0.837522\pi\)
0.872529 0.488562i \(-0.162478\pi\)
\(140\) −3.47137 + 4.29970i −0.293385 + 0.363391i
\(141\) −0.159325 1.10813i −0.0134176 0.0933214i
\(142\) 1.14396 + 2.50493i 0.0959994 + 0.210209i
\(143\) 13.5836 + 3.98850i 1.13592 + 0.333535i
\(144\) −1.48205 + 3.24523i −0.123504 + 0.270436i
\(145\) −1.32934 + 1.53415i −0.110396 + 0.127404i
\(146\) 3.69748 + 0.531618i 0.306006 + 0.0439970i
\(147\) 0.486668 + 6.98306i 0.0401397 + 0.575953i
\(148\) 10.7820 9.34269i 0.886278 0.767964i
\(149\) −6.27446 9.76325i −0.514024 0.799836i 0.483105 0.875562i \(-0.339509\pi\)
−0.997129 + 0.0757260i \(0.975873\pi\)
\(150\) −0.558565 0.869144i −0.0456066 0.0709653i
\(151\) −5.69807 6.57593i −0.463703 0.535141i 0.474947 0.880015i \(-0.342467\pi\)
−0.938649 + 0.344873i \(0.887922\pi\)
\(152\) −5.60857 + 1.64683i −0.454915 + 0.133575i
\(153\) 0.749405 5.21223i 0.0605858 0.421384i
\(154\) 2.35213 2.18591i 0.189540 0.176146i
\(155\) 6.63541 + 3.03029i 0.532969 + 0.243399i
\(156\) −5.82532 1.71047i −0.466399 0.136947i
\(157\) 7.41817 + 16.2435i 0.592034 + 1.29637i 0.934205 + 0.356736i \(0.116111\pi\)
−0.342171 + 0.939638i \(0.611162\pi\)
\(158\) −2.35951 + 0.339246i −0.187712 + 0.0269890i
\(159\) −1.55264 0.997820i −0.123132 0.0791323i
\(160\) −3.34362 −0.264336
\(161\) −8.77959 + 9.16072i −0.691928 + 0.721966i
\(162\) 0.270089 0.0212202
\(163\) −19.1315 12.2951i −1.49849 0.963024i −0.995090 0.0989727i \(-0.968444\pi\)
−0.503404 0.864051i \(-0.667919\pi\)
\(164\) 21.0966 3.03324i 1.64737 0.236856i
\(165\) 2.02324 + 4.43027i 0.157509 + 0.344896i
\(166\) 0.187915 + 0.0551769i 0.0145851 + 0.00428256i
\(167\) 7.73632 + 3.53306i 0.598654 + 0.273396i 0.691607 0.722274i \(-0.256903\pi\)
−0.0929524 + 0.995671i \(0.529630\pi\)
\(168\) −2.05560 + 1.91035i −0.158593 + 0.147386i
\(169\) −0.437494 + 3.04284i −0.0336534 + 0.234064i
\(170\) 1.47908 0.434298i 0.113441 0.0333091i
\(171\) −3.60899 4.16499i −0.275986 0.318505i
\(172\) 1.46727 + 2.28311i 0.111878 + 0.174085i
\(173\) 5.25864 + 8.18260i 0.399807 + 0.622112i 0.981538 0.191270i \(-0.0612605\pi\)
−0.581731 + 0.813382i \(0.697624\pi\)
\(174\) −0.382294 + 0.331259i −0.0289816 + 0.0251127i
\(175\) 1.78788 + 9.96143i 0.135151 + 0.753013i
\(176\) −15.8681 2.28149i −1.19610 0.171974i
\(177\) 8.34316 9.62852i 0.627110 0.723724i
\(178\) −1.31168 + 2.87218i −0.0983148 + 0.215279i
\(179\) 21.6927 + 6.36954i 1.62139 + 0.476082i 0.961391 0.275187i \(-0.0887399\pi\)
0.659996 + 0.751269i \(0.270558\pi\)
\(180\) −0.867666 1.89992i −0.0646720 0.141612i
\(181\) −1.43926 10.0103i −0.106979 0.744058i −0.970736 0.240149i \(-0.922804\pi\)
0.863757 0.503909i \(-0.168105\pi\)
\(182\) −1.75170 1.41424i −0.129845 0.104830i
\(183\) 11.6727i 0.862871i
\(184\) −5.06838 0.431590i −0.373646 0.0318172i
\(185\) 8.02429i 0.589957i
\(186\) 1.52918 + 0.982747i 0.112125 + 0.0720585i
\(187\) 23.4213 3.36748i 1.71274 0.246254i
\(188\) −1.96242 + 0.896209i −0.143124 + 0.0653628i
\(189\) −2.44343 1.01471i −0.177734 0.0738092i
\(190\) 0.670198 1.46753i 0.0486212 0.106466i
\(191\) 14.4740 + 12.5418i 1.04730 + 0.907495i 0.995834 0.0911800i \(-0.0290639\pi\)
0.0514701 + 0.998675i \(0.483609\pi\)
\(192\) 6.23792 + 0.896878i 0.450183 + 0.0647266i
\(193\) 4.26226 1.25151i 0.306804 0.0900857i −0.124707 0.992194i \(-0.539799\pi\)
0.431510 + 0.902108i \(0.357981\pi\)
\(194\) 1.41841 + 1.63694i 0.101836 + 0.117525i
\(195\) 2.87269 1.84616i 0.205717 0.132206i
\(196\) 12.6474 4.69104i 0.903387 0.335074i
\(197\) −1.25209 1.44499i −0.0892079 0.102951i 0.709391 0.704816i \(-0.248970\pi\)
−0.798598 + 0.601864i \(0.794425\pi\)
\(198\) 0.341926 + 1.16449i 0.0242996 + 0.0827570i
\(199\) −1.29091 + 8.97847i −0.0915102 + 0.636467i 0.891514 + 0.452993i \(0.149644\pi\)
−0.983024 + 0.183475i \(0.941265\pi\)
\(200\) −2.65693 + 3.06626i −0.187873 + 0.216817i
\(201\) −4.28852 + 9.39055i −0.302489 + 0.662359i
\(202\) −0.731179 + 2.49017i −0.0514456 + 0.175208i
\(203\) 4.70304 1.56057i 0.330089 0.109531i
\(204\) −10.0442 + 1.44414i −0.703237 + 0.101110i
\(205\) −6.48109 + 10.0848i −0.452659 + 0.704351i
\(206\) −2.69213 −0.187569
\(207\) −1.61494 4.51575i −0.112246 0.313866i
\(208\) 11.2399i 0.779350i
\(209\) 13.3885 20.8330i 0.926104 1.44105i
\(210\) −0.0269402 0.774053i −0.00185905 0.0534147i
\(211\) −7.86869 17.2300i −0.541703 1.18616i −0.960550 0.278108i \(-0.910293\pi\)
0.418847 0.908057i \(-0.362434\pi\)
\(212\) −1.00201 + 3.41255i −0.0688186 + 0.234375i
\(213\) 9.27446 + 4.23550i 0.635476 + 0.290212i
\(214\) −1.14724 0.994089i −0.0784237 0.0679546i
\(215\) −1.51092 0.217237i −0.103044 0.0148154i
\(216\) −0.298821 1.01769i −0.0203322 0.0692451i
\(217\) −10.1420 14.6357i −0.688486 0.993537i
\(218\) −0.452736 0.704471i −0.0306632 0.0477128i
\(219\) 11.6351 7.47740i 0.786224 0.505276i
\(220\) 7.09310 6.14621i 0.478217 0.414377i
\(221\) −4.67399 15.9182i −0.314407 1.07077i
\(222\) −0.284569 + 1.97922i −0.0190990 + 0.132836i
\(223\) −16.9528 14.6897i −1.13524 0.983695i −0.135269 0.990809i \(-0.543190\pi\)
−0.999975 + 0.00711417i \(0.997735\pi\)
\(224\) 7.01552 + 4.17113i 0.468744 + 0.278695i
\(225\) −3.67028 1.07769i −0.244685 0.0718461i
\(226\) 2.17056 0.991262i 0.144384 0.0659378i
\(227\) −1.51829 10.5599i −0.100772 0.700888i −0.976094 0.217347i \(-0.930260\pi\)
0.875322 0.483541i \(-0.160649\pi\)
\(228\) −5.74167 + 8.93422i −0.380252 + 0.591683i
\(229\) −3.49933 −0.231242 −0.115621 0.993293i \(-0.536886\pi\)
−0.115621 + 0.993293i \(0.536886\pi\)
\(230\) 1.00609 0.979194i 0.0663399 0.0645661i
\(231\) 1.28161 11.8195i 0.0843235 0.777665i
\(232\) 1.67114 + 1.07398i 0.109716 + 0.0705100i
\(233\) 1.77046 + 12.3138i 0.115986 + 0.806704i 0.961904 + 0.273389i \(0.0881447\pi\)
−0.845917 + 0.533315i \(0.820946\pi\)
\(234\) 0.774030 0.353487i 0.0505999 0.0231082i
\(235\) 0.341860 1.16427i 0.0223005 0.0759484i
\(236\) −22.3327 10.1990i −1.45373 0.663898i
\(237\) −5.77971 + 6.67014i −0.375433 + 0.433272i
\(238\) −3.64517 0.933907i −0.236281 0.0605362i
\(239\) −10.9628 + 3.21897i −0.709124 + 0.208218i −0.616353 0.787470i \(-0.711391\pi\)
−0.0927711 + 0.995687i \(0.529572\pi\)
\(240\) −2.92237 + 2.53225i −0.188638 + 0.163456i
\(241\) 15.9870 10.2742i 1.02981 0.661821i 0.0873668 0.996176i \(-0.472155\pi\)
0.942447 + 0.334355i \(0.108518\pi\)
\(242\) −2.08851 + 1.34220i −0.134255 + 0.0862801i
\(243\) 0.755750 0.654861i 0.0484814 0.0420093i
\(244\) 21.5827 6.33726i 1.38169 0.405702i
\(245\) −2.66435 + 7.10388i −0.170219 + 0.453850i
\(246\) −1.95623 + 2.25761i −0.124724 + 0.143940i
\(247\) −15.7938 7.21278i −1.00493 0.458938i
\(248\) 2.01111 6.84922i 0.127706 0.434926i
\(249\) 0.659597 0.301228i 0.0418003 0.0190895i
\(250\) −0.367672 2.55721i −0.0232536 0.161732i
\(251\) −8.72513 5.60730i −0.550725 0.353930i 0.235495 0.971875i \(-0.424329\pi\)
−0.786221 + 0.617946i \(0.787965\pi\)
\(252\) −0.549617 + 5.06879i −0.0346226 + 0.319304i
\(253\) 17.4252 12.6797i 1.09551 0.797163i
\(254\) −2.38406 −0.149589
\(255\) 3.08569 4.80143i 0.193233 0.300677i
\(256\) −1.49118 10.3714i −0.0931986 0.648210i
\(257\) 24.9774 11.4068i 1.55805 0.711538i 0.564553 0.825397i \(-0.309049\pi\)
0.993497 + 0.113859i \(0.0363213\pi\)
\(258\) −0.364969 0.107165i −0.0227220 0.00667177i
\(259\) 10.0102 16.8364i 0.622005 1.04616i
\(260\) −4.97316 4.30927i −0.308422 0.267249i
\(261\) −0.266540 + 1.85382i −0.0164984 + 0.114749i
\(262\) −1.50606 5.12916i −0.0930445 0.316880i
\(263\) −4.71585 + 4.08631i −0.290792 + 0.251972i −0.788023 0.615645i \(-0.788895\pi\)
0.497232 + 0.867618i \(0.334350\pi\)
\(264\) 4.00949 2.57674i 0.246767 0.158587i
\(265\) −1.08151 1.68286i −0.0664364 0.103377i
\(266\) −3.23692 + 2.24307i −0.198469 + 0.137532i
\(267\) 3.29364 + 11.2171i 0.201567 + 0.686476i
\(268\) 19.6914 + 2.83119i 1.20284 + 0.172942i
\(269\) −9.73091 8.43188i −0.593304 0.514101i 0.305650 0.952144i \(-0.401126\pi\)
−0.898954 + 0.438043i \(0.855672\pi\)
\(270\) 0.266287 + 0.121609i 0.0162057 + 0.00740090i
\(271\) 0.363936 1.23945i 0.0221076 0.0752915i −0.947700 0.319161i \(-0.896599\pi\)
0.969808 + 0.243870i \(0.0784170\pi\)
\(272\) 7.80421 + 17.0888i 0.473199 + 1.03616i
\(273\) −8.33049 + 0.289935i −0.504184 + 0.0175477i
\(274\) 0.410097 0.638124i 0.0247749 0.0385505i
\(275\) 17.1888i 1.03652i
\(276\) −7.47281 + 5.43767i −0.449810 + 0.327309i
\(277\) 12.3157 0.739977 0.369988 0.929036i \(-0.379362\pi\)
0.369988 + 0.929036i \(0.379362\pi\)
\(278\) 1.68218 2.61753i 0.100891 0.156989i
\(279\) 6.66165 0.957801i 0.398823 0.0573421i
\(280\) −2.88681 + 0.957905i −0.172520 + 0.0572458i
\(281\) −6.69105 + 22.7876i −0.399155 + 1.35940i 0.477650 + 0.878550i \(0.341489\pi\)
−0.876805 + 0.480846i \(0.840329\pi\)
\(282\) 0.125610 0.275047i 0.00747995 0.0163788i
\(283\) 6.30384 7.27502i 0.374724 0.432455i −0.536795 0.843713i \(-0.680365\pi\)
0.911519 + 0.411258i \(0.134911\pi\)
\(284\) 2.79619 19.4479i 0.165923 1.15402i
\(285\) −1.68287 5.73132i −0.0996845 0.339494i
\(286\) 2.50397 + 2.88973i 0.148063 + 0.170873i
\(287\) 26.1792 13.0746i 1.54531 0.771769i
\(288\) −2.59517 + 1.66782i −0.152922 + 0.0982771i
\(289\) −7.02595 8.10838i −0.413291 0.476963i
\(290\) −0.526063 + 0.154466i −0.0308915 + 0.00907056i
\(291\) 7.93786 + 1.14129i 0.465326 + 0.0669037i
\(292\) −20.1425 17.4536i −1.17875 1.02139i
\(293\) −0.898909 + 1.96834i −0.0525148 + 0.114991i −0.934071 0.357089i \(-0.883769\pi\)
0.881556 + 0.472080i \(0.156497\pi\)
\(294\) −0.909098 + 1.65771i −0.0530197 + 0.0966797i
\(295\) 12.5610 5.73642i 0.731330 0.333987i
\(296\) 7.77250 1.11752i 0.451767 0.0649543i
\(297\) 3.78020 + 2.42939i 0.219349 + 0.140967i
\(298\) 3.13455i 0.181579i
\(299\) −10.5383 10.8278i −0.609443 0.626185i
\(300\) 7.37141i 0.425589i
\(301\) 2.89917 + 2.34066i 0.167106 + 0.134913i
\(302\) −0.334454 2.32618i −0.0192457 0.133857i
\(303\) 3.99173 + 8.74068i 0.229319 + 0.502139i
\(304\) 18.8651 + 5.53928i 1.08199 + 0.317700i
\(305\) −5.25570 + 11.5084i −0.300940 + 0.658968i
\(306\) 0.931371 1.07486i 0.0532430 0.0614457i
\(307\) 16.5084 + 2.37356i 0.942187 + 0.135466i 0.596256 0.802794i \(-0.296654\pi\)
0.345931 + 0.938260i \(0.387563\pi\)
\(308\) −22.5499 + 4.04728i −1.28490 + 0.230615i
\(309\) −7.53297 + 6.52735i −0.428536 + 0.371328i
\(310\) 1.06517 + 1.65744i 0.0604975 + 0.0941360i
\(311\) −8.90159 13.8511i −0.504763 0.785426i 0.491584 0.870830i \(-0.336418\pi\)
−0.996346 + 0.0854041i \(0.972782\pi\)
\(312\) −2.18830 2.52544i −0.123888 0.142975i
\(313\) −32.5568 + 9.55955i −1.84022 + 0.540338i −0.999998 0.00190234i \(-0.999394\pi\)
−0.840224 + 0.542240i \(0.817576\pi\)
\(314\) −0.686392 + 4.77396i −0.0387353 + 0.269410i
\(315\) −1.95216 2.10059i −0.109992 0.118355i
\(316\) 15.4709 + 7.06533i 0.870307 + 0.397456i
\(317\) 3.56166 + 1.04580i 0.200043 + 0.0587378i 0.380219 0.924897i \(-0.375849\pi\)
−0.180176 + 0.983634i \(0.557667\pi\)
\(318\) −0.207078 0.453437i −0.0116123 0.0254275i
\(319\) −8.33022 + 1.19770i −0.466403 + 0.0670586i
\(320\) 5.74628 + 3.69291i 0.321227 + 0.206440i
\(321\) −5.62042 −0.313701
\(322\) −3.33250 + 0.799434i −0.185713 + 0.0445507i
\(323\) −29.0204 −1.61474
\(324\) −1.62114 1.04184i −0.0900633 0.0578802i
\(325\) −11.9288 + 1.71511i −0.661693 + 0.0951371i
\(326\) −2.55159 5.58721i −0.141320 0.309447i
\(327\) −2.97489 0.873506i −0.164512 0.0483050i
\(328\) 10.6709 + 4.87325i 0.589204 + 0.269080i
\(329\) −2.16970 + 2.01638i −0.119619 + 0.111166i
\(330\) −0.187207 + 1.30205i −0.0103054 + 0.0716757i
\(331\) −4.66719 + 1.37041i −0.256532 + 0.0753246i −0.407470 0.913219i \(-0.633589\pi\)
0.150938 + 0.988543i \(0.451771\pi\)
\(332\) −0.915072 1.05605i −0.0502211 0.0579582i
\(333\) 4.00256 + 6.22811i 0.219339 + 0.341298i
\(334\) 1.24190 + 1.93243i 0.0679535 + 0.105738i
\(335\) −8.45630 + 7.32742i −0.462017 + 0.400340i
\(336\) 9.29061 1.66748i 0.506844 0.0909687i
\(337\) −1.60868 0.231293i −0.0876302 0.0125993i 0.0983602 0.995151i \(-0.468640\pi\)
−0.185990 + 0.982552i \(0.559549\pi\)
\(338\) −0.543724 + 0.627491i −0.0295747 + 0.0341310i
\(339\) 3.67013 8.03645i 0.199334 0.436480i
\(340\) −10.5531 3.09866i −0.572320 0.168048i
\(341\) 12.5631 + 27.5093i 0.680328 + 1.48971i
\(342\) −0.211833 1.47333i −0.0114546 0.0796687i
\(343\) 14.4523 11.5815i 0.780351 0.625341i
\(344\) 1.49376i 0.0805381i
\(345\) 0.441036 5.17931i 0.0237446 0.278845i
\(346\) 2.62707i 0.141232i
\(347\) 18.0057 + 11.5716i 0.966598 + 0.621195i 0.925816 0.377974i \(-0.123379\pi\)
0.0407812 + 0.999168i \(0.487015\pi\)
\(348\) 3.57241 0.513636i 0.191502 0.0275338i
\(349\) −23.7180 + 10.8316i −1.26959 + 0.579804i −0.932331 0.361607i \(-0.882228\pi\)
−0.337262 + 0.941411i \(0.609501\pi\)
\(350\) −1.04835 + 2.52444i −0.0560366 + 0.134937i
\(351\) 1.30878 2.86583i 0.0698575 0.152967i
\(352\) −10.4762 9.07771i −0.558385 0.483844i
\(353\) 13.1611 + 1.89228i 0.700495 + 0.100716i 0.483355 0.875424i \(-0.339418\pi\)
0.217140 + 0.976140i \(0.430327\pi\)
\(354\) 3.30165 0.969452i 0.175481 0.0515258i
\(355\) 7.23684 + 8.35175i 0.384091 + 0.443265i
\(356\) 18.9522 12.1798i 1.00446 0.645530i
\(357\) −12.4641 + 6.22489i −0.659669 + 0.329456i
\(358\) 3.99878 + 4.61484i 0.211342 + 0.243902i
\(359\) 4.06200 + 13.8339i 0.214384 + 0.730125i 0.994523 + 0.104518i \(0.0333301\pi\)
−0.780139 + 0.625606i \(0.784852\pi\)
\(360\) 0.163607 1.13791i 0.00862283 0.0599731i
\(361\) −7.44704 + 8.59434i −0.391950 + 0.452334i
\(362\) 1.13469 2.48463i 0.0596382 0.130589i
\(363\) −2.58964 + 8.81950i −0.135921 + 0.462904i
\(364\) 5.05882 + 15.2456i 0.265154 + 0.799087i
\(365\) 14.8380 2.13338i 0.776657 0.111666i
\(366\) −1.70446 + 2.65220i −0.0890937 + 0.138633i
\(367\) −5.90645 −0.308314 −0.154157 0.988046i \(-0.549266\pi\)
−0.154157 + 0.988046i \(0.549266\pi\)
\(368\) 13.5569 + 10.4381i 0.706702 + 0.544125i
\(369\) 11.0602i 0.575770i
\(370\) −1.17172 + 1.82323i −0.0609147 + 0.0947851i
\(371\) 0.169848 + 4.88011i 0.00881807 + 0.253363i
\(372\) −5.38767 11.7973i −0.279338 0.611664i
\(373\) 1.94395 6.62049i 0.100654 0.342796i −0.893733 0.448599i \(-0.851923\pi\)
0.994387 + 0.105803i \(0.0337413\pi\)
\(374\) 5.81336 + 2.65487i 0.300602 + 0.137280i
\(375\) −7.22904 6.26400i −0.373306 0.323472i
\(376\) −1.17534 0.168989i −0.0606137 0.00871494i
\(377\) 1.66239 + 5.66158i 0.0856175 + 0.291586i
\(378\) −0.407012 0.587349i −0.0209345 0.0302100i
\(379\) 2.26030 + 3.51710i 0.116104 + 0.180661i 0.894442 0.447185i \(-0.147573\pi\)
−0.778338 + 0.627846i \(0.783937\pi\)
\(380\) −9.68353 + 6.22322i −0.496754 + 0.319245i
\(381\) −6.67096 + 5.78042i −0.341763 + 0.296140i
\(382\) 1.45732 + 4.96319i 0.0745632 + 0.253939i
\(383\) −5.18273 + 36.0467i −0.264825 + 1.84190i 0.230353 + 0.973107i \(0.426012\pi\)
−0.495178 + 0.868792i \(0.664897\pi\)
\(384\) 5.94919 + 5.15500i 0.303593 + 0.263065i
\(385\) 6.58535 11.0760i 0.335621 0.564488i
\(386\) 1.15119 + 0.338020i 0.0585940 + 0.0172048i
\(387\) −1.28107 + 0.585044i −0.0651203 + 0.0297395i
\(388\) −2.19933 15.2967i −0.111654 0.776571i
\(389\) −0.566956 + 0.882200i −0.0287458 + 0.0447293i −0.855329 0.518085i \(-0.826645\pi\)
0.826583 + 0.562814i \(0.190281\pi\)
\(390\) 0.922293 0.0467021
\(391\) −23.5400 9.14514i −1.19047 0.462489i
\(392\) 7.25203 + 1.59141i 0.366283 + 0.0803782i
\(393\) −16.6504 10.7005i −0.839900 0.539771i
\(394\) −0.0734928 0.511154i −0.00370252 0.0257516i
\(395\) −8.70161 + 3.97389i −0.437826 + 0.199948i
\(396\) 2.43960 8.30851i 0.122594 0.417518i
\(397\) 2.14138 + 0.977934i 0.107473 + 0.0490811i 0.468426 0.883503i \(-0.344821\pi\)
−0.360953 + 0.932584i \(0.617549\pi\)
\(398\) −1.60436 + 1.85153i −0.0804194 + 0.0928089i
\(399\) −3.61881 + 14.1247i −0.181167 + 0.707121i
\(400\) 13.0942 3.84481i 0.654710 0.192240i
\(401\) 16.9334 14.6729i 0.845614 0.732728i −0.119982 0.992776i \(-0.538284\pi\)
0.965596 + 0.260048i \(0.0837383\pi\)
\(402\) −2.34563 + 1.50745i −0.116990 + 0.0751846i
\(403\) 17.8376 11.4635i 0.888554 0.571039i
\(404\) 13.9943 12.1261i 0.696242 0.603297i
\(405\) 1.03996 0.305361i 0.0516763 0.0151735i
\(406\) 1.29647 + 0.332161i 0.0643428 + 0.0164849i
\(407\) −21.7854 + 25.1417i −1.07986 + 1.24623i
\(408\) −5.08050 2.32019i −0.251522 0.114866i
\(409\) −1.29893 + 4.42376i −0.0642281 + 0.218741i −0.985353 0.170526i \(-0.945453\pi\)
0.921125 + 0.389267i \(0.127272\pi\)
\(410\) −2.94519 + 1.34502i −0.145452 + 0.0664259i
\(411\) −0.399688 2.77989i −0.0197151 0.137122i
\(412\) 16.1588 + 10.3846i 0.796086 + 0.511613i
\(413\) −33.5114 3.63369i −1.64899 0.178802i
\(414\) 0.292459 1.26185i 0.0143736 0.0620168i
\(415\) 0.785941 0.0385803
\(416\) −5.25452 + 8.17619i −0.257624 + 0.400871i
\(417\) −1.63948 11.4029i −0.0802858 0.558400i
\(418\) 6.08412 2.77852i 0.297584 0.135902i
\(419\) −22.6903 6.66248i −1.10849 0.325483i −0.324273 0.945964i \(-0.605120\pi\)
−0.784222 + 0.620480i \(0.786938\pi\)
\(420\) −2.82413 + 4.74996i −0.137803 + 0.231774i
\(421\) 0.466757 + 0.404448i 0.0227484 + 0.0197116i 0.666161 0.745808i \(-0.267936\pi\)
−0.643412 + 0.765520i \(0.722482\pi\)
\(422\) 0.728078 5.06390i 0.0354423 0.246507i
\(423\) −0.315407 1.07418i −0.0153356 0.0522282i
\(424\) −1.47943 + 1.28194i −0.0718477 + 0.0622564i
\(425\) −16.9454 + 10.8901i −0.821970 + 0.528248i
\(426\) 1.48881 + 2.31663i 0.0721331 + 0.112241i
\(427\) 25.3840 17.5902i 1.22842 0.851250i
\(428\) 3.05140 + 10.3921i 0.147495 + 0.502322i
\(429\) 14.0129 + 2.01476i 0.676551 + 0.0972733i
\(430\) −0.311579 0.269985i −0.0150257 0.0130198i
\(431\) 9.67073 + 4.41648i 0.465823 + 0.212734i 0.634478 0.772941i \(-0.281215\pi\)
−0.168655 + 0.985675i \(0.553942\pi\)
\(432\) −1.00512 + 3.42312i −0.0483588 + 0.164695i
\(433\) 7.20625 + 15.7795i 0.346310 + 0.758314i 0.999999 + 0.00154997i \(0.000493372\pi\)
−0.653689 + 0.756764i \(0.726779\pi\)
\(434\) −0.167282 4.80639i −0.00802980 0.230714i
\(435\) −1.09748 + 1.70772i −0.0526202 + 0.0818787i
\(436\) 5.97479i 0.286140i
\(437\) −23.3667 + 12.3512i −1.11778 + 0.590838i
\(438\) 3.73550 0.178489
\(439\) 7.28174 11.3306i 0.347538 0.540780i −0.622847 0.782344i \(-0.714024\pi\)
0.970385 + 0.241564i \(0.0776603\pi\)
\(440\) 5.11324 0.735172i 0.243764 0.0350480i
\(441\) 1.47551 + 6.84272i 0.0702623 + 0.325844i
\(442\) 1.26240 4.29932i 0.0600460 0.204498i
\(443\) −2.45335 + 5.37209i −0.116562 + 0.255236i −0.958916 0.283689i \(-0.908442\pi\)
0.842354 + 0.538924i \(0.181169\pi\)
\(444\) 9.34269 10.7820i 0.443384 0.511693i
\(445\) −1.80329 + 12.5422i −0.0854843 + 0.594556i
\(446\) −1.70690 5.81317i −0.0808241 0.275262i
\(447\) −7.60005 8.77092i −0.359470 0.414850i
\(448\) −7.44987 14.9168i −0.351973 0.704754i
\(449\) 8.93655 5.74317i 0.421742 0.271037i −0.312510 0.949915i \(-0.601170\pi\)
0.734252 + 0.678877i \(0.237533\pi\)
\(450\) −0.676572 0.780805i −0.0318939 0.0368075i
\(451\) −47.6861 + 14.0019i −2.24545 + 0.659324i
\(452\) −16.8519 2.42294i −0.792647 0.113965i
\(453\) −6.57593 5.69807i −0.308964 0.267719i
\(454\) 1.19700 2.62106i 0.0561780 0.123013i
\(455\) −8.34376 3.46500i −0.391161 0.162441i
\(456\) −5.31712 + 2.42825i −0.248997 + 0.113713i
\(457\) −32.2218 + 4.63280i −1.50727 + 0.216713i −0.845899 0.533344i \(-0.820935\pi\)
−0.661374 + 0.750057i \(0.730026\pi\)
\(458\) −0.795095 0.510976i −0.0371523 0.0238764i
\(459\) 5.26583i 0.245788i
\(460\) −9.81595 + 1.99644i −0.457671 + 0.0930847i
\(461\) 4.03455i 0.187908i −0.995577 0.0939540i \(-0.970049\pi\)
0.995577 0.0939540i \(-0.0299507\pi\)
\(462\) 2.01710 2.49841i 0.0938438 0.116236i
\(463\) −4.02965 28.0268i −0.187274 1.30252i −0.839028 0.544088i \(-0.816876\pi\)
0.651755 0.758430i \(-0.274033\pi\)
\(464\) −2.77571 6.07795i −0.128859 0.282162i
\(465\) 6.99913 + 2.05513i 0.324577 + 0.0953043i
\(466\) −1.39581 + 3.05639i −0.0646594 + 0.141584i
\(467\) 2.48941 2.87293i 0.115196 0.132943i −0.695223 0.718795i \(-0.744694\pi\)
0.810419 + 0.585851i \(0.199240\pi\)
\(468\) −6.00945 0.864028i −0.277787 0.0399397i
\(469\) 26.8837 4.82511i 1.24138 0.222803i
\(470\) 0.247683 0.214619i 0.0114248 0.00989961i
\(471\) 9.65436 + 15.0225i 0.444849 + 0.692199i
\(472\) −7.30575 11.3680i −0.336274 0.523253i
\(473\) −4.14422 4.78269i −0.190552 0.219908i
\(474\) −2.28721 + 0.671586i −0.105055 + 0.0308470i
\(475\) −3.00016 + 20.8665i −0.137657 + 0.957422i
\(476\) 18.2767 + 19.6664i 0.837711 + 0.901408i
\(477\) −1.67884 0.766701i −0.0768688 0.0351048i
\(478\) −2.96093 0.869409i −0.135430 0.0397658i
\(479\) −4.15124 9.08995i −0.189675 0.415330i 0.790773 0.612110i \(-0.209679\pi\)
−0.980448 + 0.196780i \(0.936952\pi\)
\(480\) −3.30958 + 0.475846i −0.151061 + 0.0217193i
\(481\) 19.6219 + 12.6102i 0.894681 + 0.574977i
\(482\) 5.13272 0.233789
\(483\) −7.38652 + 10.3169i −0.336098 + 0.469437i
\(484\) 17.7131 0.805143
\(485\) 7.31224 + 4.69929i 0.332032 + 0.213384i
\(486\) 0.267340 0.0384377i 0.0121268 0.00174357i
\(487\) 8.16380 + 17.8762i 0.369937 + 0.810049i 0.999453 + 0.0330617i \(0.0105258\pi\)
−0.629516 + 0.776987i \(0.716747\pi\)
\(488\) 11.8792 + 3.48805i 0.537746 + 0.157897i
\(489\) −20.6865 9.44722i −0.935477 0.427218i
\(490\) −1.64269 + 1.22505i −0.0742093 + 0.0553420i
\(491\) 4.89665 34.0570i 0.220983 1.53697i −0.513350 0.858180i \(-0.671596\pi\)
0.734333 0.678790i \(-0.237495\pi\)
\(492\) 20.4502 6.00472i 0.921967 0.270714i
\(493\) 6.45843 + 7.45343i 0.290873 + 0.335685i
\(494\) −2.53534 3.94507i −0.114071 0.177497i
\(495\) 2.63314 + 4.09724i 0.118351 + 0.184157i
\(496\) −18.1461 + 15.7237i −0.814784 + 0.706014i
\(497\) −4.76546 26.5514i −0.213760 1.19099i
\(498\) 0.193855 + 0.0278722i 0.00868686 + 0.00124898i
\(499\) 8.97398 10.3565i 0.401731 0.463622i −0.518455 0.855105i \(-0.673492\pi\)
0.920185 + 0.391483i \(0.128038\pi\)
\(500\) −7.65735 + 16.7673i −0.342447 + 0.749854i
\(501\) 8.16038 + 2.39610i 0.364579 + 0.107050i
\(502\) −1.16368 2.54811i −0.0519377 0.113728i
\(503\) −3.88849 27.0450i −0.173379 1.20588i −0.871681 0.490074i \(-0.836970\pi\)
0.698302 0.715804i \(-0.253939\pi\)
\(504\) −1.76281 + 2.18344i −0.0785218 + 0.0972583i
\(505\) 10.4149i 0.463458i
\(506\) 5.81075 0.336534i 0.258319 0.0149608i
\(507\) 3.07413i 0.136527i
\(508\) 14.3097 + 9.19628i 0.634890 + 0.408019i
\(509\) 2.11143 0.303578i 0.0935875 0.0134558i −0.0953620 0.995443i \(-0.530401\pi\)
0.188949 + 0.981987i \(0.439492\pi\)
\(510\) 1.40222 0.640373i 0.0620914 0.0283562i
\(511\) −33.7942 14.0341i −1.49497 0.620830i
\(512\) 7.71584 16.8953i 0.340995 0.746675i
\(513\) −4.16499 3.60899i −0.183889 0.159341i
\(514\) 7.34085 + 1.05546i 0.323791 + 0.0465541i
\(515\) −10.3659 + 3.04370i −0.456776 + 0.134122i
\(516\) 1.77725 + 2.05106i 0.0782391 + 0.0902928i
\(517\) 4.23203 2.71976i 0.186124 0.119615i
\(518\) 4.73294 2.36376i 0.207953 0.103857i
\(519\) 6.36962 + 7.35093i 0.279595 + 0.322670i
\(520\) −1.02040 3.47518i −0.0447477 0.152397i
\(521\) −5.45094 + 37.9121i −0.238810 + 1.66096i 0.419158 + 0.907913i \(0.362325\pi\)
−0.657968 + 0.753046i \(0.728584\pi\)
\(522\) −0.331259 + 0.382294i −0.0144988 + 0.0167325i
\(523\) −6.97867 + 15.2812i −0.305156 + 0.668199i −0.998632 0.0522808i \(-0.983351\pi\)
0.693476 + 0.720479i \(0.256078\pi\)
\(524\) −10.7455 + 36.5959i −0.469420 + 1.59870i
\(525\) 3.18734 + 9.60559i 0.139107 + 0.419222i
\(526\) −1.66819 + 0.239850i −0.0727367 + 0.0104580i
\(527\) 19.1602 29.8139i 0.834632 1.29871i
\(528\) −16.0313 −0.697671
\(529\) −22.8462 + 2.65522i −0.993314 + 0.115444i
\(530\) 0.540291i 0.0234688i
\(531\) 6.88796 10.7179i 0.298912 0.465116i
\(532\) 28.0812 0.977342i 1.21747 0.0423731i
\(533\) 14.4754 + 31.6966i 0.626997 + 1.37293i
\(534\) −0.889577 + 3.02962i −0.0384958 + 0.131105i
\(535\) −5.54130 2.53063i −0.239571 0.109409i
\(536\) 8.27518 + 7.17049i 0.357433 + 0.309718i
\(537\) 22.3783 + 3.21752i 0.965697 + 0.138846i
\(538\) −0.979761 3.33676i −0.0422405 0.143858i
\(539\) −27.6345 + 15.0244i −1.19030 + 0.647146i
\(540\) −1.12922 1.75710i −0.0485940 0.0756137i
\(541\) −38.3527 + 24.6478i −1.64891 + 1.05969i −0.716957 + 0.697117i \(0.754466\pi\)
−0.931955 + 0.362574i \(0.881898\pi\)
\(542\) 0.263678 0.228478i 0.0113259 0.00981398i
\(543\) −2.84922 9.70355i −0.122272 0.416419i
\(544\) −2.31183 + 16.0791i −0.0991190 + 0.689388i
\(545\) −2.53971 2.20067i −0.108789 0.0942663i
\(546\) −1.93514 1.15055i −0.0828162 0.0492391i
\(547\) 11.3960 + 3.34618i 0.487260 + 0.143072i 0.516129 0.856511i \(-0.327372\pi\)
−0.0288693 + 0.999583i \(0.509191\pi\)
\(548\) −4.92300 + 2.24826i −0.210300 + 0.0960408i
\(549\) 1.66120 + 11.5539i 0.0708982 + 0.493108i
\(550\) 2.50993 3.90553i 0.107024 0.166532i
\(551\) 10.3216 0.439716
\(552\) −5.07821 + 0.294109i −0.216143 + 0.0125181i
\(553\) 23.2150 + 2.51723i 0.987201 + 0.107044i
\(554\) 2.79829 + 1.79835i 0.118888 + 0.0764046i
\(555\) 1.14198 + 7.94261i 0.0484741 + 0.337145i
\(556\) −20.1937 + 9.22215i −0.856403 + 0.391106i
\(557\) 1.50719 5.13302i 0.0638617 0.217493i −0.921380 0.388664i \(-0.872937\pi\)
0.985241 + 0.171171i \(0.0547550\pi\)
\(558\) 1.65348 + 0.755118i 0.0699973 + 0.0319667i
\(559\) −2.90563 + 3.35327i −0.122895 + 0.141828i
\(560\) 9.91061 + 2.53914i 0.418800 + 0.107298i
\(561\) 22.7037 6.66640i 0.958550 0.281456i
\(562\) −4.84778 + 4.20063i −0.204491 + 0.177193i
\(563\) 11.6071 7.45945i 0.489182 0.314378i −0.272694 0.962101i \(-0.587915\pi\)
0.761876 + 0.647722i \(0.224278\pi\)
\(564\) −1.81491 + 1.16637i −0.0764213 + 0.0491130i
\(565\) 7.23692 6.27082i 0.304459 0.263816i
\(566\) 2.49463 0.732488i 0.104857 0.0307888i
\(567\) −2.56297 0.656644i −0.107635 0.0275764i
\(568\) 7.08184 8.17288i 0.297147 0.342926i
\(569\) 21.2851 + 9.72056i 0.892316 + 0.407507i 0.808172 0.588946i \(-0.200457\pi\)
0.0841443 + 0.996454i \(0.473184\pi\)
\(570\) 0.454525 1.54797i 0.0190380 0.0648373i
\(571\) −43.2169 + 19.7365i −1.80857 + 0.825946i −0.859309 + 0.511457i \(0.829106\pi\)
−0.949261 + 0.314489i \(0.898167\pi\)
\(572\) −3.88254 27.0036i −0.162337 1.12908i
\(573\) 16.1116 + 10.3543i 0.673072 + 0.432557i
\(574\) 7.85744 + 0.851994i 0.327963 + 0.0355616i
\(575\) −9.00923 + 15.9806i −0.375711 + 0.666435i
\(576\) 6.30207 0.262586
\(577\) 7.29062 11.3444i 0.303513 0.472275i −0.655676 0.755043i \(-0.727616\pi\)
0.959188 + 0.282768i \(0.0912525\pi\)
\(578\) −0.412395 2.86827i −0.0171534 0.119304i
\(579\) 4.04076 1.84535i 0.167928 0.0766903i
\(580\) 3.75339 + 1.10209i 0.155851 + 0.0457620i
\(581\) −1.64905 0.980454i −0.0684140 0.0406761i
\(582\) 1.63694 + 1.41841i 0.0678532 + 0.0587952i
\(583\) 1.18027 8.20896i 0.0488818 0.339981i
\(584\) −4.13288 14.0753i −0.171020 0.582440i
\(585\) 2.58071 2.23620i 0.106699 0.0924554i
\(586\) −0.491664 + 0.315973i −0.0203104 + 0.0130527i
\(587\) 0.327769 + 0.510018i 0.0135285 + 0.0210507i 0.847952 0.530073i \(-0.177836\pi\)
−0.834423 + 0.551124i \(0.814199\pi\)
\(588\) 11.8511 6.44321i 0.488730 0.265713i
\(589\) −10.4496 35.5880i −0.430567 1.46638i
\(590\) 3.69167 + 0.530782i 0.151984 + 0.0218520i
\(591\) −1.44499 1.25209i −0.0594390 0.0515042i
\(592\) −24.0257 10.9722i −0.987448 0.450953i
\(593\) 5.35710 18.2446i 0.219990 0.749217i −0.773348 0.633981i \(-0.781420\pi\)
0.993338 0.115235i \(-0.0367622\pi\)
\(594\) 0.504171 + 1.10398i 0.0206864 + 0.0452968i
\(595\) −15.0914 + 0.525243i −0.618687 + 0.0215329i
\(596\) −12.0912 + 18.8143i −0.495275 + 0.770663i
\(597\) 9.07080i 0.371243i
\(598\) −0.813352 3.99902i −0.0332605 0.163532i
\(599\) −45.3081 −1.85124 −0.925620 0.378453i \(-0.876456\pi\)
−0.925620 + 0.378453i \(0.876456\pi\)
\(600\) −2.19351 + 3.41317i −0.0895498 + 0.139342i
\(601\) −5.12812 + 0.737313i −0.209181 + 0.0300756i −0.246108 0.969242i \(-0.579152\pi\)
0.0369278 + 0.999318i \(0.488243\pi\)
\(602\) 0.316946 + 0.955170i 0.0129178 + 0.0389298i
\(603\) −2.90846 + 9.90529i −0.118441 + 0.403375i
\(604\) −6.96554 + 15.2524i −0.283424 + 0.620611i
\(605\) −6.52421 + 7.52934i −0.265247 + 0.306111i
\(606\) −0.369349 + 2.56888i −0.0150038 + 0.104354i
\(607\) −3.79079 12.9103i −0.153864 0.524011i 0.846096 0.533031i \(-0.178947\pi\)
−0.999959 + 0.00901974i \(0.997129\pi\)
\(608\) 11.1333 + 12.8485i 0.451516 + 0.521077i
\(609\) 4.43308 2.21400i 0.179637 0.0897157i
\(610\) −2.87463 + 1.84742i −0.116391 + 0.0747997i
\(611\) −2.30976 2.66561i −0.0934429 0.107839i
\(612\) −9.73647 + 2.85889i −0.393574 + 0.115564i
\(613\) 7.30054 + 1.04966i 0.294866 + 0.0423953i 0.288160 0.957582i \(-0.406956\pi\)
0.00670569 + 0.999978i \(0.497865\pi\)
\(614\) 3.40435 + 2.94989i 0.137389 + 0.119048i
\(615\) −4.97991 + 10.9045i −0.200809 + 0.439711i
\(616\) −11.6456 4.83619i −0.469215 0.194856i
\(617\) 33.3461 15.2286i 1.34246 0.613082i 0.390871 0.920446i \(-0.372174\pi\)
0.951592 + 0.307363i \(0.0994467\pi\)
\(618\) −2.66473 + 0.383130i −0.107191 + 0.0154117i
\(619\) −11.1866 7.18916i −0.449626 0.288957i 0.296166 0.955137i \(-0.404292\pi\)
−0.745791 + 0.666180i \(0.767928\pi\)
\(620\) 14.0571i 0.564546i
\(621\) −2.24116 4.23995i −0.0899346 0.170143i
\(622\) 4.44699i 0.178308i
\(623\) 19.4299 24.0662i 0.778442 0.964191i
\(624\) 1.59961 + 11.1255i 0.0640357 + 0.445378i
\(625\) 3.63841 + 7.96701i 0.145537 + 0.318681i
\(626\) −8.79326 2.58193i −0.351449 0.103195i
\(627\) 10.2874 22.5263i 0.410840 0.899614i
\(628\) 22.5350 26.0067i 0.899243 1.03778i
\(629\) 38.5881 + 5.54812i 1.53861 + 0.221218i
\(630\) −0.136825 0.762340i −0.00545125 0.0303724i
\(631\) 5.37572 4.65809i 0.214004 0.185435i −0.541262 0.840854i \(-0.682053\pi\)
0.755266 + 0.655419i \(0.227508\pi\)
\(632\) 5.06104 + 7.87514i 0.201318 + 0.313256i
\(633\) −10.2407 15.9348i −0.407031 0.633353i
\(634\) 0.656549 + 0.757698i 0.0260749 + 0.0300920i
\(635\) −9.17971 + 2.69541i −0.364286 + 0.106964i
\(636\) −0.506159 + 3.52041i −0.0200705 + 0.139594i
\(637\) 13.1842 + 17.6790i 0.522376 + 0.700466i
\(638\) −2.06763 0.944255i −0.0818582 0.0373834i
\(639\) 9.78283 + 2.87250i 0.387003 + 0.113634i
\(640\) 3.54437 + 7.76108i 0.140103 + 0.306784i
\(641\) 25.9394 3.72952i 1.02454 0.147307i 0.390499 0.920603i \(-0.372302\pi\)
0.634045 + 0.773296i \(0.281393\pi\)
\(642\) −1.27704 0.820702i −0.0504006 0.0323905i
\(643\) −18.8578 −0.743678 −0.371839 0.928297i \(-0.621273\pi\)
−0.371839 + 0.928297i \(0.621273\pi\)
\(644\) 23.0862 + 8.05641i 0.909723 + 0.317467i
\(645\) −1.52645 −0.0601040
\(646\) −6.59382 4.23759i −0.259430 0.166726i
\(647\) 13.4429 1.93280i 0.528496 0.0759863i 0.127098 0.991890i \(-0.459434\pi\)
0.401398 + 0.915904i \(0.368525\pi\)
\(648\) −0.440612 0.964806i −0.0173089 0.0379011i
\(649\) 54.9302 + 16.1290i 2.15620 + 0.633117i
\(650\) −2.96084 1.35217i −0.116134 0.0530365i
\(651\) −12.1217 13.0434i −0.475086 0.511211i
\(652\) −6.23685 + 43.3783i −0.244254 + 1.69882i
\(653\) −17.4593 + 5.12651i −0.683235 + 0.200616i −0.604888 0.796310i \(-0.706782\pi\)
−0.0783464 + 0.996926i \(0.524964\pi\)
\(654\) −0.548385 0.632870i −0.0214435 0.0247472i
\(655\) −11.5980 18.0468i −0.453171 0.705147i
\(656\) −21.3330 33.1948i −0.832913 1.29604i
\(657\) 10.4525 9.05713i 0.407790 0.353352i
\(658\) −0.787418 + 0.141326i −0.0306968 + 0.00550947i
\(659\) 7.42513 + 1.06757i 0.289242 + 0.0415867i 0.285409 0.958406i \(-0.407871\pi\)
0.00383348 + 0.999993i \(0.498780\pi\)
\(660\) 6.14621 7.09310i 0.239241 0.276099i
\(661\) −7.89523 + 17.2882i −0.307089 + 0.672431i −0.998760 0.0497815i \(-0.984148\pi\)
0.691671 + 0.722213i \(0.256875\pi\)
\(662\) −1.26056 0.370133i −0.0489930 0.0143856i
\(663\) −6.89181 15.0909i −0.267656 0.586084i
\(664\) −0.109455 0.761279i −0.00424769 0.0295434i
\(665\) −9.92760 + 12.2965i −0.384976 + 0.476837i
\(666\) 1.99957i 0.0774818i
\(667\) 8.37243 + 3.25264i 0.324182 + 0.125943i
\(668\) 16.3894i 0.634123i
\(669\) −18.8708 12.1275i −0.729588 0.468878i
\(670\) −2.99135 + 0.430091i −0.115566 + 0.0166159i
\(671\) −47.7117 + 21.7892i −1.84189 + 0.841163i
\(672\) 7.53772 + 3.13026i 0.290774 + 0.120753i
\(673\) −3.26764 + 7.15514i −0.125958 + 0.275810i −0.962097 0.272708i \(-0.912081\pi\)
0.836138 + 0.548518i \(0.184808\pi\)
\(674\) −0.331740 0.287454i −0.0127781 0.0110723i
\(675\) −3.78629 0.544387i −0.145734 0.0209535i
\(676\) 5.68404 1.66898i 0.218617 0.0641917i
\(677\) 1.86548 + 2.15288i 0.0716963 + 0.0827420i 0.790465 0.612508i \(-0.209839\pi\)
−0.718768 + 0.695250i \(0.755294\pi\)
\(678\) 2.00740 1.29008i 0.0770936 0.0495450i
\(679\) −9.48008 18.9819i −0.363812 0.728459i
\(680\) −3.96430 4.57505i −0.152024 0.175445i
\(681\) −3.00567 10.2364i −0.115178 0.392259i
\(682\) −1.16244 + 8.08495i −0.0445122 + 0.309589i
\(683\) 4.52163 5.21824i 0.173015 0.199670i −0.662619 0.748957i \(-0.730555\pi\)
0.835634 + 0.549287i \(0.185100\pi\)
\(684\) −4.41176 + 9.66041i −0.168688 + 0.369375i
\(685\) 0.857599 2.92072i 0.0327672 0.111595i
\(686\) 4.97491 0.521126i 0.189943 0.0198967i
\(687\) −3.46371 + 0.498006i −0.132149 + 0.0190001i
\(688\) 2.71641 4.22682i 0.103562 0.161146i
\(689\) −5.81471 −0.221523
\(690\) 0.856499 1.11241i 0.0326064 0.0423487i
\(691\) 1.87878i 0.0714722i −0.999361 0.0357361i \(-0.988622\pi\)
0.999361 0.0357361i \(-0.0113776\pi\)
\(692\) 10.1337 15.7683i 0.385224 0.599421i
\(693\) −0.413528 11.8816i −0.0157086 0.451344i
\(694\) 2.40145 + 5.25844i 0.0911577 + 0.199608i
\(695\) 3.51780 11.9805i 0.133438 0.454447i
\(696\) 1.80697 + 0.825217i 0.0684931 + 0.0312798i
\(697\) 44.0156 + 38.1398i 1.66721 + 1.44465i
\(698\) −6.97069 1.00223i −0.263845 0.0379351i
\(699\) 3.50487 + 11.9365i 0.132566 + 0.451480i
\(700\) 16.0302 11.1084i 0.605885 0.419857i
\(701\) −20.2576 31.5215i −0.765120 1.19055i −0.976997 0.213253i \(-0.931594\pi\)
0.211877 0.977296i \(-0.432042\pi\)
\(702\) 0.715845 0.460045i 0.0270178 0.0173633i
\(703\) 30.8350 26.7187i 1.16296 1.00771i
\(704\) 7.97826 + 27.1714i 0.300692 + 1.02406i
\(705\) 0.172687 1.20107i 0.00650379 0.0452348i
\(706\) 2.71407 + 2.35175i 0.102145 + 0.0885094i
\(707\) 12.9925 21.8524i 0.488634 0.821844i
\(708\) −23.5568 6.91691i −0.885320 0.259953i
\(709\) −36.7527 + 16.7844i −1.38027 + 0.630350i −0.960756 0.277396i \(-0.910529\pi\)
−0.419519 + 0.907746i \(0.637801\pi\)
\(710\) 0.424774 + 2.95437i 0.0159415 + 0.110875i
\(711\) −4.77162 + 7.42479i −0.178950 + 0.278451i
\(712\) 12.3998 0.464701
\(713\) 2.73856 32.1603i 0.102560 1.20441i
\(714\) −3.74097 0.405640i −0.140002 0.0151807i
\(715\) 12.9085 + 8.29579i 0.482751 + 0.310245i
\(716\) −6.20033 43.1242i −0.231717 1.61163i
\(717\) −10.3931 + 4.74637i −0.388138 + 0.177256i
\(718\) −1.09710 + 3.73639i −0.0409435 + 0.139441i
\(719\) 28.7094 + 13.1112i 1.07068 + 0.488964i 0.871195 0.490937i \(-0.163345\pi\)
0.199486 + 0.979901i \(0.436073\pi\)
\(720\) −2.53225 + 2.92237i −0.0943712 + 0.108910i
\(721\) 25.5465 + 6.54512i 0.951402 + 0.243753i
\(722\) −2.94703 + 0.865325i −0.109677 + 0.0322041i
\(723\) 14.3621 12.4448i 0.534133 0.462829i
\(724\) −16.3949 + 10.5364i −0.609312 + 0.391581i
\(725\) 6.02693 3.87327i 0.223834 0.143850i
\(726\) −1.87624 + 1.62577i −0.0696337 + 0.0603379i
\(727\) 33.7177 9.90040i 1.25052 0.367186i 0.411562 0.911382i \(-0.364984\pi\)
0.838958 + 0.544196i \(0.183165\pi\)
\(728\) −2.19426 + 8.56450i −0.0813247 + 0.317422i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) 3.68292 + 1.68193i 0.136311 + 0.0622511i
\(731\) −2.08934 + 7.11565i −0.0772772 + 0.263182i
\(732\) 20.4612 9.34430i 0.756267 0.345375i
\(733\) −4.24969 29.5572i −0.156966 1.09172i −0.904184 0.427143i \(-0.859520\pi\)
0.747218 0.664579i \(-0.231389\pi\)
\(734\) −1.34202 0.862467i −0.0495350 0.0318342i
\(735\) −1.62624 + 7.41075i −0.0599847 + 0.273350i
\(736\) 4.98191 + 13.9306i 0.183636 + 0.513488i
\(737\) −46.3888 −1.70875
\(738\) −1.61502 + 2.51303i −0.0594498 + 0.0925058i
\(739\) 3.72120 + 25.8815i 0.136887 + 0.952067i 0.936279 + 0.351257i \(0.114246\pi\)
−0.799392 + 0.600809i \(0.794845\pi\)
\(740\) 14.0658 6.42365i 0.517070 0.236138i
\(741\) −16.6595 4.89168i −0.612003 0.179700i
\(742\) −0.674009 + 1.13363i −0.0247436 + 0.0416168i
\(743\) −7.25393 6.28557i −0.266121 0.230595i 0.511570 0.859241i \(-0.329064\pi\)
−0.777691 + 0.628646i \(0.783609\pi\)
\(744\) 1.01590 7.06572i 0.0372446 0.259042i
\(745\) −3.54390 12.0694i −0.129838 0.442189i
\(746\) 1.40843 1.22041i 0.0515661 0.0446823i
\(747\) 0.610014 0.392032i 0.0223192 0.0143437i
\(748\) −24.6522 38.3596i −0.901376 1.40257i
\(749\) 8.46972 + 12.2224i 0.309477 + 0.446598i
\(750\) −0.727859 2.47886i −0.0265777 0.0905152i
\(751\) −23.5208 3.38177i −0.858284 0.123403i −0.300898 0.953656i \(-0.597287\pi\)
−0.557386 + 0.830254i \(0.688196\pi\)
\(752\) 3.01850 + 2.61555i 0.110074 + 0.0953792i
\(753\) −9.43432 4.30851i −0.343806 0.157011i
\(754\) −0.448994 + 1.52913i −0.0163514 + 0.0556877i
\(755\) −3.91776 8.57870i −0.142582 0.312211i
\(756\) 0.177341 + 5.09541i 0.00644984 + 0.185318i
\(757\) −5.87141 + 9.13609i −0.213400 + 0.332057i −0.931407 0.363979i \(-0.881418\pi\)
0.718007 + 0.696036i \(0.245054\pi\)
\(758\) 1.12918i 0.0410138i
\(759\) 15.4434 15.0305i 0.560559 0.545571i
\(760\) −6.33559 −0.229816
\(761\) 15.0257 23.3805i 0.544682 0.847541i −0.454382 0.890807i \(-0.650140\pi\)
0.999064 + 0.0432657i \(0.0137762\pi\)
\(762\) −2.35980 + 0.339287i −0.0854864 + 0.0122911i
\(763\) 2.58345 + 7.78567i 0.0935273 + 0.281860i
\(764\) 10.3978 35.4117i 0.376180 1.28115i
\(765\) 2.37097 5.19169i 0.0857225 0.187706i
\(766\) −6.44117 + 7.43351i −0.232729 + 0.268584i
\(767\) 5.71237 39.7304i 0.206262 1.43458i
\(768\) −2.95200 10.0536i −0.106521 0.362778i
\(769\) −12.0360 13.8903i −0.434030 0.500897i 0.496030 0.868305i \(-0.334791\pi\)
−0.930060 + 0.367408i \(0.880245\pi\)
\(770\) 3.11362 1.55503i 0.112207 0.0560393i
\(771\) 23.0998 14.8454i 0.831921 0.534643i
\(772\) −5.60583 6.46947i −0.201758 0.232841i
\(773\) −35.6254 + 10.4606i −1.28136 + 0.376241i −0.850402 0.526133i \(-0.823641\pi\)
−0.430955 + 0.902373i \(0.641823\pi\)
\(774\) −0.376505 0.0541333i −0.0135332 0.00194578i
\(775\) −19.4563 16.8590i −0.698891 0.605593i
\(776\) 3.53348 7.73725i 0.126845 0.277751i
\(777\) 7.51227 18.0896i 0.269501 0.648962i
\(778\) −0.257640 + 0.117660i −0.00923685 + 0.00421833i
\(779\) 60.3331 8.67459i 2.16166 0.310800i
\(780\) −5.53581 3.55765i −0.198214 0.127384i
\(781\) 45.8153i 1.63940i
\(782\) −4.01322 5.51524i −0.143513 0.197225i
\(783\) 1.87289i 0.0669315i
\(784\) −17.6267 17.6910i −0.629525 0.631821i
\(785\) 2.75449 + 19.1579i 0.0983120 + 0.683775i
\(786\) −2.22068 4.86262i −0.0792091 0.173444i
\(787\) −17.9026 5.25668i −0.638159 0.187380i −0.0533816 0.998574i \(-0.517000\pi\)
−0.584777 + 0.811194i \(0.698818\pi\)
\(788\) −1.53060 + 3.35156i −0.0545255 + 0.119394i
\(789\) −4.08631 + 4.71585i −0.145476 + 0.167889i
\(790\) −2.55740 0.367698i −0.0909882 0.0130821i
\(791\) −23.0072 + 4.12934i −0.818041 + 0.146822i
\(792\) 3.60197 3.12112i 0.127990 0.110904i
\(793\) 19.8822 + 30.9373i 0.706038 + 1.09862i
\(794\) 0.343751 + 0.534887i 0.0121993 + 0.0189824i
\(795\) −1.30999 1.51181i −0.0464607 0.0536185i
\(796\) 16.7718 4.92466i 0.594462 0.174550i
\(797\) 4.31039 29.9794i 0.152682 1.06193i −0.759018 0.651069i \(-0.774321\pi\)
0.911700 0.410856i \(-0.134770\pi\)
\(798\) −2.88475 + 2.68091i −0.102119 + 0.0949030i
\(799\) −5.36248 2.44896i −0.189711 0.0866381i
\(800\) 11.3224 + 3.32456i 0.400307 + 0.117541i
\(801\) 4.85648 + 10.6342i 0.171595 + 0.375741i
\(802\) 5.99005 0.861239i 0.211516 0.0304114i
\(803\) 52.2825 + 33.5999i 1.84501 + 1.18572i
\(804\) 19.8939 0.701602
\(805\) −11.9278 + 6.84589i −0.420399 + 0.241286i
\(806\) 5.72687 0.201720
\(807\) −10.8318 6.96120i −0.381299 0.245046i
\(808\) 10.0881 1.45045i 0.354899 0.0510268i
\(809\) −22.6825 49.6678i −0.797475 1.74623i −0.653892 0.756588i \(-0.726865\pi\)
−0.143582 0.989638i \(-0.545862\pi\)
\(810\) 0.280883 + 0.0824748i 0.00986924 + 0.00289787i
\(811\) −17.4723 7.97932i −0.613534 0.280192i 0.0843118 0.996439i \(-0.473131\pi\)
−0.697846 + 0.716248i \(0.745858\pi\)
\(812\) −6.50044 6.99472i −0.228121 0.245466i
\(813\) 0.183839 1.27863i 0.00644753 0.0448436i
\(814\) −8.62118 + 2.53141i −0.302172 + 0.0887258i
\(815\) −16.1416 18.6285i −0.565417 0.652526i
\(816\) 10.1568 + 15.8042i 0.355558 + 0.553259i
\(817\) 4.19616 + 6.52935i 0.146805 + 0.228433i
\(818\) −0.941098 + 0.815466i −0.0329047 + 0.0285121i
\(819\) −8.20443 + 1.47254i −0.286686 + 0.0514546i
\(820\) 22.8660 + 3.28763i 0.798514 + 0.114809i
\(821\) 1.30591 1.50710i 0.0455766 0.0525981i −0.732504 0.680763i \(-0.761648\pi\)
0.778080 + 0.628165i \(0.216194\pi\)
\(822\) 0.315109 0.689992i 0.0109907 0.0240662i
\(823\) −7.99543 2.34767i −0.278703 0.0818347i 0.139394 0.990237i \(-0.455485\pi\)
−0.418097 + 0.908402i \(0.637303\pi\)
\(824\) 4.39182 + 9.61674i 0.152996 + 0.335015i
\(825\) −2.44622 17.0138i −0.0851664 0.592345i
\(826\) −7.08365 5.71900i −0.246472 0.198990i
\(827\) 47.9455i 1.66723i −0.552347 0.833614i \(-0.686268\pi\)
0.552347 0.833614i \(-0.313732\pi\)
\(828\) −6.62289 + 6.44581i −0.230161 + 0.224008i
\(829\) 32.2563i 1.12031i 0.828389 + 0.560153i \(0.189258\pi\)
−0.828389 + 0.560153i \(0.810742\pi\)
\(830\) 0.178576 + 0.114764i 0.00619848 + 0.00398352i
\(831\) 12.1903 1.75270i 0.422877 0.0608006i
\(832\) 18.0606 8.24802i 0.626140 0.285949i
\(833\) 32.3197 + 17.7243i 1.11981 + 0.614112i
\(834\) 1.29255 2.83028i 0.0447572 0.0980047i
\(835\) 6.96664 + 6.03663i 0.241091 + 0.208906i
\(836\) −47.2361 6.79153i −1.63370 0.234890i
\(837\) 6.45754 1.89610i 0.223205 0.0655390i
\(838\) −4.18269 4.82708i −0.144489 0.166749i
\(839\) −16.0212 + 10.2962i −0.553115 + 0.355465i −0.787149 0.616763i \(-0.788444\pi\)
0.234034 + 0.972228i \(0.424807\pi\)
\(840\) −2.72110 + 1.35899i −0.0938869 + 0.0468896i
\(841\) 16.6939 + 19.2658i 0.575652 + 0.664338i
\(842\) 0.0469957 + 0.160053i 0.00161958 + 0.00551577i
\(843\) −3.37993 + 23.5079i −0.116411 + 0.809656i
\(844\) −23.9036 + 27.5862i −0.822795 + 0.949556i
\(845\) −1.38414 + 3.03085i −0.0476160 + 0.104264i
\(846\) 0.0851880 0.290124i 0.00292882 0.00997466i
\(847\) 23.0818 7.65903i 0.793099 0.263167i
\(848\) 6.51749 0.937074i 0.223812 0.0321792i
\(849\) 5.20433 8.09810i 0.178612 0.277926i
\(850\) −5.44041 −0.186604
\(851\) 33.4318 11.9560i 1.14603 0.409846i
\(852\) 19.6479i 0.673126i
\(853\) 24.3308 37.8595i 0.833071 1.29628i −0.119767 0.992802i \(-0.538215\pi\)
0.952837 0.303481i \(-0.0981489\pi\)
\(854\) 8.33614 0.290132i 0.285257 0.00992811i
\(855\) −2.48139 5.43349i −0.0848618 0.185821i
\(856\) −1.67950 + 5.71985i −0.0574042 + 0.195501i
\(857\) 0.391463 + 0.178775i 0.0133721 + 0.00610685i 0.422090 0.906554i \(-0.361297\pi\)
−0.408718 + 0.912661i \(0.634024\pi\)
\(858\) 2.88973 + 2.50397i 0.0986538 + 0.0854840i
\(859\) 44.1198 + 6.34347i 1.50535 + 0.216436i 0.845099 0.534610i \(-0.179542\pi\)
0.660249 + 0.751046i \(0.270451\pi\)
\(860\) 0.828731 + 2.82240i 0.0282595 + 0.0962430i
\(861\) 24.0520 16.6672i 0.819690 0.568016i
\(862\) 1.55242 + 2.41562i 0.0528757 + 0.0822762i
\(863\) −34.6908 + 22.2944i −1.18089 + 0.758912i −0.975550 0.219779i \(-0.929466\pi\)
−0.205340 + 0.978691i \(0.565830\pi\)
\(864\) −2.33140 + 2.02017i −0.0793160 + 0.0687277i
\(865\) 2.97015 + 10.1154i 0.100988 + 0.343934i
\(866\) −0.666783 + 4.63758i −0.0226582 + 0.157591i
\(867\) −8.10838 7.02595i −0.275375 0.238614i
\(868\) −17.5361 + 29.4943i −0.595214 + 1.00110i
\(869\) −38.0528 11.1733i −1.29085 0.379029i
\(870\) −0.498726 + 0.227760i −0.0169084 + 0.00772180i
\(871\) 4.62871 + 32.1934i 0.156838 + 1.09083i
\(872\) −1.77792 + 2.76650i −0.0602079 + 0.0936854i
\(873\) 8.01949 0.271418
\(874\) −7.11277 0.605676i −0.240593 0.0204873i
\(875\) −2.72816 + 25.1602i −0.0922286 + 0.850569i
\(876\) −22.4214 14.4093i −0.757548 0.486846i
\(877\) 5.48040 + 38.1171i 0.185060 + 1.28712i 0.844578 + 0.535433i \(0.179851\pi\)
−0.659518 + 0.751689i \(0.729240\pi\)
\(878\) 3.30902 1.51118i 0.111674 0.0509998i
\(879\) −0.609636 + 2.07623i −0.0205625 + 0.0700295i
\(880\) −15.8056 7.21817i −0.532806 0.243324i
\(881\) −23.7570 + 27.4171i −0.800395 + 0.923705i −0.998403 0.0564951i \(-0.982007\pi\)
0.198008 + 0.980200i \(0.436553\pi\)
\(882\) −0.663928 + 1.77022i −0.0223556 + 0.0596063i
\(883\) −27.5009 + 8.07500i −0.925480 + 0.271745i −0.709543 0.704662i \(-0.751099\pi\)
−0.215937 + 0.976407i \(0.569280\pi\)
\(884\) −24.1614 + 20.9360i −0.812636 + 0.704153i
\(885\) 11.6168 7.46565i 0.390494 0.250955i
\(886\) −1.34187 + 0.862371i −0.0450812 + 0.0289719i
\(887\) 7.78761 6.74800i 0.261482 0.226576i −0.514246 0.857643i \(-0.671928\pi\)
0.775728 + 0.631067i \(0.217383\pi\)
\(888\) 7.53434 2.21228i 0.252836 0.0742394i
\(889\) 22.6232 + 5.79615i 0.758757 + 0.194397i
\(890\) −2.24116 + 2.58643i −0.0751238 + 0.0866975i
\(891\) 4.08746 + 1.86668i 0.136935 + 0.0625362i
\(892\) −12.1785 + 41.4762i −0.407767 + 1.38873i
\(893\) −5.61223 + 2.56302i −0.187806 + 0.0857683i
\(894\) −0.446093 3.10264i −0.0149196 0.103768i
\(895\) 20.6146 + 13.2482i 0.689070 + 0.442839i
\(896\) 2.24515 20.7057i 0.0750053 0.691730i
\(897\) −11.9719 9.21779i −0.399731 0.307773i
\(898\) 2.86913 0.0957442
\(899\) −6.81468 + 10.6039i −0.227282 + 0.353658i
\(900\) 1.04906 + 7.29638i 0.0349687 + 0.243213i
\(901\) −8.84048 + 4.03731i −0.294519 + 0.134502i
\(902\) −12.8795 3.78177i −0.428841 0.125919i
\(903\) 3.20277 + 1.90424i 0.106582 + 0.0633690i
\(904\) −7.08192 6.13652i −0.235541 0.204097i
\(905\) 1.55997 10.8498i 0.0518551 0.360660i
\(906\) −0.662100 2.25491i −0.0219968 0.0749142i
\(907\) −2.07024 + 1.79388i −0.0687413 + 0.0595647i −0.688554 0.725185i \(-0.741754\pi\)
0.619812 + 0.784750i \(0.287209\pi\)
\(908\) −17.2952 + 11.1149i −0.573960 + 0.368862i
\(909\) 5.19503 + 8.08363i 0.172308 + 0.268117i
\(910\) −1.38985 2.00566i −0.0460732 0.0664870i
\(911\) 14.4023 + 49.0498i 0.477170 + 1.62509i 0.748874 + 0.662712i \(0.230595\pi\)
−0.271704 + 0.962381i \(0.587587\pi\)
\(912\) 19.4614 + 2.79812i 0.644430 + 0.0926551i
\(913\) 2.46251 + 2.13378i 0.0814973 + 0.0706178i
\(914\) −7.99772 3.65244i −0.264541 0.120812i
\(915\) −3.56439 + 12.1392i −0.117835 + 0.401310i
\(916\) 2.80130 + 6.13400i 0.0925576 + 0.202673i
\(917\) 1.82143 + 52.3339i 0.0601491 + 1.72822i
\(918\) 0.768923 1.19647i 0.0253782 0.0394893i
\(919\) 15.7075i 0.518142i −0.965858 0.259071i \(-0.916584\pi\)
0.965858 0.259071i \(-0.0834163\pi\)
\(920\) −5.13915 1.99653i −0.169433 0.0658235i
\(921\) 16.6782 0.549566
\(922\) 0.589131 0.916706i 0.0194020 0.0301901i
\(923\) 31.7954 4.57149i 1.04656 0.150472i
\(924\) −21.7444 + 7.21527i −0.715339 + 0.237365i
\(925\) 7.97855 27.1724i 0.262333 0.893424i
\(926\) 3.17692 6.95649i 0.104400 0.228605i
\(927\) −6.52735 + 7.53297i −0.214386 + 0.247415i
\(928\) 0.822245 5.71884i 0.0269915 0.187730i
\(929\) −11.2088 38.1736i −0.367748 1.25244i −0.910839 0.412762i \(-0.864564\pi\)
0.543091 0.839674i \(-0.317254\pi\)
\(930\) 1.29020 + 1.48898i 0.0423075 + 0.0488254i
\(931\) 36.1697 13.4157i 1.18541 0.439681i
\(932\) 20.1677 12.9610i 0.660613 0.424551i
\(933\) −10.7822 12.4433i −0.352994 0.407376i
\(934\) 0.985137 0.289262i 0.0322347 0.00946496i
\(935\) 25.3856 + 3.64990i 0.830199 + 0.119365i
\(936\) −2.52544 2.18830i −0.0825465 0.0715269i
\(937\) 6.51140 14.2580i 0.212718 0.465788i −0.772954 0.634463i \(-0.781221\pi\)
0.985672 + 0.168675i \(0.0539487\pi\)
\(938\) 6.81292 + 2.82927i 0.222450 + 0.0923789i
\(939\) −30.8650 + 14.0956i −1.00724 + 0.459992i
\(940\) −2.31452 + 0.332778i −0.0754913 + 0.0108540i
\(941\) −5.11296 3.28590i −0.166678 0.107117i 0.454643 0.890674i \(-0.349767\pi\)
−0.621320 + 0.783557i \(0.713403\pi\)
\(942\) 4.82305i 0.157144i
\(943\) 51.6731 + 11.9762i 1.68271 + 0.390000i
\(944\) 45.4529i 1.47937i
\(945\) −2.23123 1.80139i −0.0725820 0.0585993i
\(946\) −0.243250 1.69184i −0.00790872 0.0550064i
\(947\) 20.4952 + 44.8782i 0.666004 + 1.45835i 0.876819 + 0.480820i \(0.159661\pi\)
−0.210815 + 0.977526i \(0.567612\pi\)
\(948\) 16.3190 + 4.79168i 0.530015 + 0.155626i
\(949\) 18.1012 39.6362i 0.587591 1.28664i
\(950\) −3.72864 + 4.30308i −0.120973 + 0.139610i
\(951\) 3.67424 + 0.528276i 0.119145 + 0.0171305i
\(952\) 2.61049 + 14.5447i 0.0846065 + 0.471397i
\(953\) −22.2093 + 19.2445i −0.719431 + 0.623391i −0.935640 0.352956i \(-0.885176\pi\)
0.216208 + 0.976347i \(0.430631\pi\)
\(954\) −0.269501 0.419351i −0.00872541 0.0135770i
\(955\) 11.2227 + 17.4629i 0.363158 + 0.565085i
\(956\) 14.4186 + 16.6399i 0.466330 + 0.538173i
\(957\) −8.07498 + 2.37103i −0.261027 + 0.0766444i
\(958\) 0.384108 2.67153i 0.0124100 0.0863132i
\(959\) −5.44297 + 5.05834i −0.175763 + 0.163342i
\(960\) 6.21335 + 2.83754i 0.200535 + 0.0915812i
\(961\) 13.7160 + 4.02737i 0.442451 + 0.129915i
\(962\) 2.61700 + 5.73043i 0.0843754 + 0.184756i
\(963\) −5.56322 + 0.799870i −0.179272 + 0.0257754i
\(964\) −30.8078 19.7990i −0.992252 0.637682i
\(965\) 4.81476 0.154993
\(966\) −3.18481 + 1.26556i −0.102470 + 0.0407188i
\(967\) 4.46220 0.143495 0.0717473 0.997423i \(-0.477142\pi\)
0.0717473 + 0.997423i \(0.477142\pi\)
\(968\) 8.20169 + 5.27090i 0.263612 + 0.169413i
\(969\) −28.7250 + 4.13003i −0.922779 + 0.132676i
\(970\) 0.975244 + 2.13549i 0.0313132 + 0.0685663i
\(971\) 10.0015 + 2.93670i 0.320963 + 0.0942431i 0.438245 0.898855i \(-0.355600\pi\)
−0.117283 + 0.993099i \(0.537418\pi\)
\(972\) −1.75291 0.800526i −0.0562245 0.0256769i
\(973\) −22.3266 + 20.7489i −0.715757 + 0.665178i
\(974\) −0.755384 + 5.25381i −0.0242041 + 0.168343i
\(975\) −11.5633 + 3.39530i −0.370323 + 0.108737i
\(976\) −27.2710 31.4724i −0.872922 1.00741i
\(977\) −5.06030 7.87398i −0.161893 0.251911i 0.750824 0.660502i \(-0.229657\pi\)
−0.912718 + 0.408591i \(0.866020\pi\)
\(978\) −3.32077 5.16721i −0.106186 0.165229i
\(979\) −39.7013 + 34.4014i −1.26886 + 1.09947i
\(980\) 14.5853 1.01649i 0.465911 0.0324706i
\(981\) −3.06892 0.441244i −0.0979831 0.0140878i
\(982\) 6.08563 7.02319i 0.194200 0.224119i
\(983\) −8.62034 + 18.8759i −0.274946 + 0.602048i −0.995852 0.0909847i \(-0.970999\pi\)
0.720906 + 0.693033i \(0.243726\pi\)
\(984\) 11.2559 + 3.30502i 0.358824 + 0.105360i
\(985\) −0.860887 1.88508i −0.0274302 0.0600637i
\(986\) 0.379084 + 2.63659i 0.0120725 + 0.0839661i
\(987\) −1.86065 + 2.30463i −0.0592252 + 0.0733573i
\(988\) 33.4591i 1.06448i
\(989\) 1.34615 + 6.61864i 0.0428051 + 0.210460i
\(990\) 1.31544i 0.0418075i
\(991\) −35.0553 22.5286i −1.11357 0.715646i −0.151499 0.988457i \(-0.548410\pi\)
−0.962068 + 0.272811i \(0.912046\pi\)
\(992\) −20.5505 + 2.95471i −0.652478 + 0.0938122i
\(993\) −4.42465 + 2.02067i −0.140412 + 0.0641241i
\(994\) 2.79429 6.72870i 0.0886296 0.213421i
\(995\) −4.08418 + 8.94310i −0.129477 + 0.283515i
\(996\) −1.05605 0.915072i −0.0334622 0.0289952i
\(997\) −59.5532 8.56246i −1.88607 0.271176i −0.899798 0.436307i \(-0.856286\pi\)
−0.986272 + 0.165131i \(0.947195\pi\)
\(998\) 3.55129 1.04275i 0.112414 0.0330077i
\(999\) 4.84818 + 5.59509i 0.153390 + 0.177021i
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 483.2.r.a.412.20 yes 320
7.6 odd 2 inner 483.2.r.a.412.19 yes 320
23.11 odd 22 inner 483.2.r.a.34.19 320
161.34 even 22 inner 483.2.r.a.34.20 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.r.a.34.19 320 23.11 odd 22 inner
483.2.r.a.34.20 yes 320 161.34 even 22 inner
483.2.r.a.412.19 yes 320 7.6 odd 2 inner
483.2.r.a.412.20 yes 320 1.1 even 1 trivial