Properties

Label 966.2.r.a.113.6
Level $966$
Weight $2$
Character 966.113
Analytic conductor $7.714$
Analytic rank $0$
Dimension $240$
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] = [966,2,Mod(113,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.113");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 113.6
Character \(\chi\) \(=\) 966.113
Dual form 966.2.r.a.701.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.540641 + 0.841254i) q^{2} +(0.0176252 + 1.73196i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(0.959405 + 0.281707i) q^{5} +(-1.46655 - 0.921542i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.99938 + 0.0610522i) q^{9} +O(q^{10})\) \(q+(-0.540641 + 0.841254i) q^{2} +(0.0176252 + 1.73196i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(0.959405 + 0.281707i) q^{5} +(-1.46655 - 0.921542i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.99938 + 0.0610522i) q^{9} +(-0.755680 + 0.654801i) q^{10} +(-3.62499 + 2.32964i) q^{11} +(1.56813 - 0.735515i) q^{12} +(-3.18776 - 3.67888i) q^{13} +(0.959493 - 0.281733i) q^{14} +(-0.470995 + 1.66662i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.322927 + 0.707112i) q^{17} +(1.57023 - 2.55625i) q^{18} +(7.23962 - 3.30622i) q^{19} +(-0.142302 - 0.989731i) q^{20} +(1.12087 - 1.32047i) q^{21} -4.30904i q^{22} +(-3.74539 + 2.99534i) q^{23} +(-0.229038 + 1.71684i) q^{24} +(-3.36517 - 2.16266i) q^{25} +(4.81830 - 0.692767i) q^{26} +(-0.158605 - 5.19373i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(-9.19611 - 4.19972i) q^{29} +(-1.14741 - 1.29727i) q^{30} +(0.535549 - 3.72483i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(-4.09874 - 6.23728i) q^{33} +(-0.420273 - 0.653957i) q^{34} +(-0.540591 - 0.841176i) q^{35} +(1.30152 + 2.70297i) q^{36} +(1.38869 + 4.72944i) q^{37} +(-1.13266 + 7.87784i) q^{38} +(6.31548 - 5.58592i) q^{39} +(0.909549 + 0.415377i) q^{40} +(-2.20095 + 7.49575i) q^{41} +(0.504861 + 1.65684i) q^{42} +(-6.16861 + 0.886913i) q^{43} +(3.62499 + 2.32964i) q^{44} +(-2.89482 - 0.786371i) q^{45} +(-0.494929 - 4.77022i) q^{46} -2.91026i q^{47} +(-1.32047 - 1.12087i) q^{48} +(0.142315 + 0.989821i) q^{49} +(3.63869 - 1.66174i) q^{50} +(-1.23038 - 0.546834i) q^{51} +(-2.02218 + 4.42795i) q^{52} +(4.09805 - 4.72941i) q^{53} +(4.45499 + 2.67452i) q^{54} +(-4.13411 + 1.21388i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(5.85385 + 12.4805i) q^{57} +(8.50482 - 5.46572i) q^{58} +(-3.22626 + 2.79557i) q^{59} +(1.71167 - 0.263905i) q^{60} +(-8.21329 - 1.18089i) q^{61} +(2.84399 + 2.46433i) q^{62} +(2.30676 + 1.91804i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-2.02199 - 4.42755i) q^{65} +(7.46308 - 0.0759475i) q^{66} +(4.34182 - 6.75601i) q^{67} +0.777361 q^{68} +(-5.25382 - 6.43408i) q^{69} +0.999908 q^{70} +(5.62739 - 8.75639i) q^{71} +(-2.97754 - 0.366425i) q^{72} +(-2.72659 - 5.97040i) q^{73} +(-4.72944 - 1.38869i) q^{74} +(3.68634 - 5.86646i) q^{75} +(-6.01490 - 5.21194i) q^{76} +(4.26518 + 0.613240i) q^{77} +(1.28477 + 8.33290i) q^{78} +(1.47361 - 1.27689i) q^{79} +(-0.841176 + 0.540591i) q^{80} +(8.99255 - 0.366237i) q^{81} +(-5.11590 - 5.90407i) q^{82} +(2.03155 - 0.596517i) q^{83} +(-1.66677 - 0.471039i) q^{84} +(-0.509016 + 0.587436i) q^{85} +(2.58889 - 5.66887i) q^{86} +(7.11167 - 16.0013i) q^{87} +(-3.91964 + 1.79004i) q^{88} +(1.91581 + 13.3248i) q^{89} +(2.22659 - 2.01013i) q^{90} +4.86785i q^{91} +(4.28055 + 2.16262i) q^{92} +(6.46070 + 0.861900i) q^{93} +(2.44826 + 1.57340i) q^{94} +(7.87712 - 1.13256i) q^{95} +(1.65684 - 0.504861i) q^{96} +(-0.818711 + 2.78827i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(10.7305 - 7.20879i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} + 24 q^{14} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} + 154 q^{41} + 4 q^{42} + 22 q^{43} + 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} + 88 q^{50} + 24 q^{51} + 8 q^{52} - 108 q^{53} + 12 q^{54} - 16 q^{55} - 24 q^{56} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 q^{66} - 44 q^{67} - 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} - 16 q^{74} - 26 q^{75} - 78 q^{78} - 4 q^{80} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 q^{87} + 24 q^{89} + 126 q^{90} + 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} + 172 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 + 0.841254i −0.382291 + 0.594856i
\(3\) 0.0176252 + 1.73196i 0.0101759 + 0.999948i
\(4\) −0.415415 0.909632i −0.207708 0.454816i
\(5\) 0.959405 + 0.281707i 0.429059 + 0.125983i 0.489130 0.872211i \(-0.337314\pi\)
−0.0600708 + 0.998194i \(0.519133\pi\)
\(6\) −1.46655 0.921542i −0.598715 0.376218i
\(7\) −0.755750 0.654861i −0.285646 0.247514i
\(8\) 0.989821 + 0.142315i 0.349955 + 0.0503159i
\(9\) −2.99938 + 0.0610522i −0.999793 + 0.0203507i
\(10\) −0.755680 + 0.654801i −0.238967 + 0.207066i
\(11\) −3.62499 + 2.32964i −1.09298 + 0.702413i −0.957519 0.288370i \(-0.906887\pi\)
−0.135457 + 0.990783i \(0.543250\pi\)
\(12\) 1.56813 0.735515i 0.452679 0.212325i
\(13\) −3.18776 3.67888i −0.884127 1.02034i −0.999635 0.0270300i \(-0.991395\pi\)
0.115508 0.993307i \(-0.463150\pi\)
\(14\) 0.959493 0.281733i 0.256435 0.0752962i
\(15\) −0.470995 + 1.66662i −0.121611 + 0.430319i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) −0.322927 + 0.707112i −0.0783214 + 0.171500i −0.944742 0.327815i \(-0.893688\pi\)
0.866421 + 0.499315i \(0.166415\pi\)
\(18\) 1.57023 2.55625i 0.370106 0.602513i
\(19\) 7.23962 3.30622i 1.66088 0.758500i 0.660916 0.750460i \(-0.270168\pi\)
0.999968 0.00803965i \(-0.00255913\pi\)
\(20\) −0.142302 0.989731i −0.0318196 0.221311i
\(21\) 1.12087 1.32047i 0.244595 0.288150i
\(22\) 4.30904i 0.918690i
\(23\) −3.74539 + 2.99534i −0.780968 + 0.624571i
\(24\) −0.229038 + 1.71684i −0.0467522 + 0.350449i
\(25\) −3.36517 2.16266i −0.673034 0.432532i
\(26\) 4.81830 0.692767i 0.944947 0.135863i
\(27\) −0.158605 5.19373i −0.0305235 0.999534i
\(28\) −0.281733 + 0.959493i −0.0532424 + 0.181327i
\(29\) −9.19611 4.19972i −1.70767 0.779869i −0.997088 0.0762581i \(-0.975703\pi\)
−0.710586 0.703610i \(-0.751570\pi\)
\(30\) −1.14741 1.29727i −0.209487 0.236848i
\(31\) 0.535549 3.72483i 0.0961875 0.668999i −0.883494 0.468442i \(-0.844816\pi\)
0.979682 0.200557i \(-0.0642753\pi\)
\(32\) −0.281733 0.959493i −0.0498038 0.169616i
\(33\) −4.09874 6.23728i −0.713499 1.08577i
\(34\) −0.420273 0.653957i −0.0720762 0.112153i
\(35\) −0.540591 0.841176i −0.0913766 0.142185i
\(36\) 1.30152 + 2.70297i 0.216920 + 0.450495i
\(37\) 1.38869 + 4.72944i 0.228299 + 0.777515i 0.991358 + 0.131186i \(0.0418784\pi\)
−0.763059 + 0.646329i \(0.776303\pi\)
\(38\) −1.13266 + 7.87784i −0.183742 + 1.27795i
\(39\) 6.31548 5.58592i 1.01129 0.894464i
\(40\) 0.909549 + 0.415377i 0.143812 + 0.0656769i
\(41\) −2.20095 + 7.49575i −0.343731 + 1.17064i 0.588416 + 0.808559i \(0.299752\pi\)
−0.932147 + 0.362081i \(0.882066\pi\)
\(42\) 0.504861 + 1.65684i 0.0779018 + 0.255656i
\(43\) −6.16861 + 0.886913i −0.940705 + 0.135253i −0.595573 0.803301i \(-0.703075\pi\)
−0.345132 + 0.938554i \(0.612166\pi\)
\(44\) 3.62499 + 2.32964i 0.546488 + 0.351207i
\(45\) −2.89482 0.786371i −0.431534 0.117225i
\(46\) −0.494929 4.77022i −0.0729733 0.703331i
\(47\) 2.91026i 0.424505i −0.977215 0.212252i \(-0.931920\pi\)
0.977215 0.212252i \(-0.0680799\pi\)
\(48\) −1.32047 1.12087i −0.190594 0.161784i
\(49\) 0.142315 + 0.989821i 0.0203307 + 0.141403i
\(50\) 3.63869 1.66174i 0.514589 0.235005i
\(51\) −1.23038 0.546834i −0.172288 0.0765721i
\(52\) −2.02218 + 4.42795i −0.280426 + 0.614046i
\(53\) 4.09805 4.72941i 0.562911 0.649634i −0.400931 0.916108i \(-0.631313\pi\)
0.963842 + 0.266474i \(0.0858587\pi\)
\(54\) 4.45499 + 2.67452i 0.606248 + 0.363956i
\(55\) −4.13411 + 1.21388i −0.557443 + 0.163680i
\(56\) −0.654861 0.755750i −0.0875094 0.100991i
\(57\) 5.85385 + 12.4805i 0.775362 + 1.65308i
\(58\) 8.50482 5.46572i 1.11674 0.717684i
\(59\) −3.22626 + 2.79557i −0.420023 + 0.363952i −0.839080 0.544008i \(-0.816906\pi\)
0.419057 + 0.907960i \(0.362361\pi\)
\(60\) 1.71167 0.263905i 0.220975 0.0340700i
\(61\) −8.21329 1.18089i −1.05160 0.151198i −0.405227 0.914216i \(-0.632807\pi\)
−0.646377 + 0.763018i \(0.723717\pi\)
\(62\) 2.84399 + 2.46433i 0.361186 + 0.312970i
\(63\) 2.30676 + 1.91804i 0.290624 + 0.241650i
\(64\) 0.959493 + 0.281733i 0.119937 + 0.0352166i
\(65\) −2.02199 4.42755i −0.250797 0.549170i
\(66\) 7.46308 0.0759475i 0.918642 0.00934849i
\(67\) 4.34182 6.75601i 0.530438 0.825378i −0.467853 0.883806i \(-0.654972\pi\)
0.998292 + 0.0584281i \(0.0186088\pi\)
\(68\) 0.777361 0.0942688
\(69\) −5.25382 6.43408i −0.632486 0.774572i
\(70\) 0.999908 0.119512
\(71\) 5.62739 8.75639i 0.667848 1.03919i −0.327686 0.944787i \(-0.606269\pi\)
0.995534 0.0944053i \(-0.0300950\pi\)
\(72\) −2.97754 0.366425i −0.350906 0.0431836i
\(73\) −2.72659 5.97040i −0.319123 0.698783i 0.680293 0.732940i \(-0.261853\pi\)
−0.999416 + 0.0341575i \(0.989125\pi\)
\(74\) −4.72944 1.38869i −0.549786 0.161432i
\(75\) 3.68634 5.86646i 0.425661 0.677400i
\(76\) −6.01490 5.21194i −0.689956 0.597850i
\(77\) 4.26518 + 0.613240i 0.486062 + 0.0698852i
\(78\) 1.28477 + 8.33290i 0.145471 + 0.943515i
\(79\) 1.47361 1.27689i 0.165795 0.143662i −0.568012 0.823020i \(-0.692287\pi\)
0.733807 + 0.679358i \(0.237742\pi\)
\(80\) −0.841176 + 0.540591i −0.0940464 + 0.0604399i
\(81\) 8.99255 0.366237i 0.999172 0.0406930i
\(82\) −5.11590 5.90407i −0.564957 0.651995i
\(83\) 2.03155 0.596517i 0.222992 0.0654762i −0.168328 0.985731i \(-0.553837\pi\)
0.391320 + 0.920255i \(0.372019\pi\)
\(84\) −1.66677 0.471039i −0.181860 0.0513945i
\(85\) −0.509016 + 0.587436i −0.0552106 + 0.0637164i
\(86\) 2.58889 5.66887i 0.279167 0.611290i
\(87\) 7.11167 16.0013i 0.762451 1.71552i
\(88\) −3.91964 + 1.79004i −0.417835 + 0.190819i
\(89\) 1.91581 + 13.3248i 0.203076 + 1.41242i 0.795089 + 0.606493i \(0.207424\pi\)
−0.592013 + 0.805928i \(0.701667\pi\)
\(90\) 2.22659 2.01013i 0.234704 0.211886i
\(91\) 4.86785i 0.510289i
\(92\) 4.28055 + 2.16262i 0.446278 + 0.225468i
\(93\) 6.46070 + 0.861900i 0.669943 + 0.0893749i
\(94\) 2.44826 + 1.57340i 0.252519 + 0.162284i
\(95\) 7.87712 1.13256i 0.808175 0.116198i
\(96\) 1.65684 0.504861i 0.169100 0.0515272i
\(97\) −0.818711 + 2.78827i −0.0831275 + 0.283106i −0.990558 0.137097i \(-0.956223\pi\)
0.907430 + 0.420203i \(0.138041\pi\)
\(98\) −0.909632 0.415415i −0.0918867 0.0419633i
\(99\) 10.7305 7.20879i 1.07846 0.724511i
\(100\) −0.569285 + 3.95947i −0.0569285 + 0.395947i
\(101\) 3.15932 + 10.7597i 0.314364 + 1.07063i 0.953465 + 0.301503i \(0.0974882\pi\)
−0.639101 + 0.769123i \(0.720694\pi\)
\(102\) 1.12522 0.739422i 0.111414 0.0732137i
\(103\) 1.23586 + 1.92303i 0.121772 + 0.189482i 0.896788 0.442461i \(-0.145894\pi\)
−0.775015 + 0.631942i \(0.782258\pi\)
\(104\) −2.63176 4.09510i −0.258065 0.401557i
\(105\) 1.44736 0.951109i 0.141248 0.0928187i
\(106\) 1.76305 + 6.00441i 0.171243 + 0.583200i
\(107\) 0.242111 1.68392i 0.0234058 0.162791i −0.974766 0.223228i \(-0.928340\pi\)
0.998172 + 0.0604375i \(0.0192496\pi\)
\(108\) −4.65850 + 2.30183i −0.448264 + 0.221493i
\(109\) 12.8690 + 5.87706i 1.23262 + 0.562921i 0.921844 0.387561i \(-0.126682\pi\)
0.310780 + 0.950482i \(0.399410\pi\)
\(110\) 1.21388 4.13411i 0.115739 0.394172i
\(111\) −8.16672 + 2.48851i −0.775151 + 0.236199i
\(112\) 0.989821 0.142315i 0.0935293 0.0134475i
\(113\) −8.83749 5.67951i −0.831361 0.534284i 0.0543488 0.998522i \(-0.482692\pi\)
−0.885710 + 0.464238i \(0.846328\pi\)
\(114\) −13.6641 1.82288i −1.27976 0.170728i
\(115\) −4.43715 + 1.81864i −0.413767 + 0.169589i
\(116\) 10.1097i 0.938662i
\(117\) 9.78591 + 10.8397i 0.904708 + 1.00213i
\(118\) −0.607535 4.22550i −0.0559282 0.388989i
\(119\) 0.707112 0.322927i 0.0648209 0.0296027i
\(120\) −0.703386 + 1.58262i −0.0642100 + 0.144473i
\(121\) 3.14377 6.88391i 0.285798 0.625810i
\(122\) 5.43387 6.27102i 0.491959 0.567751i
\(123\) −13.0211 3.67985i −1.17408 0.331801i
\(124\) −3.61070 + 1.06020i −0.324250 + 0.0952085i
\(125\) −5.89333 6.80126i −0.527115 0.608323i
\(126\) −2.86068 + 0.903602i −0.254850 + 0.0804992i
\(127\) −18.6017 + 11.9546i −1.65064 + 1.06080i −0.720589 + 0.693362i \(0.756129\pi\)
−0.930048 + 0.367438i \(0.880235\pi\)
\(128\) −0.755750 + 0.654861i −0.0667995 + 0.0578821i
\(129\) −1.64482 10.6682i −0.144818 0.939280i
\(130\) 4.81786 + 0.692704i 0.422554 + 0.0607541i
\(131\) −1.94498 1.68533i −0.169934 0.147248i 0.565742 0.824582i \(-0.308590\pi\)
−0.735676 + 0.677334i \(0.763135\pi\)
\(132\) −3.97096 + 6.31941i −0.345627 + 0.550034i
\(133\) −7.63646 2.24227i −0.662165 0.194429i
\(134\) 3.33615 + 7.30515i 0.288199 + 0.631069i
\(135\) 1.31094 5.02757i 0.112828 0.432705i
\(136\) −0.420273 + 0.653957i −0.0360381 + 0.0560764i
\(137\) 8.49661 0.725914 0.362957 0.931806i \(-0.381767\pi\)
0.362957 + 0.931806i \(0.381767\pi\)
\(138\) 8.25312 0.941273i 0.702552 0.0801265i
\(139\) −0.950218 −0.0805965 −0.0402982 0.999188i \(-0.512831\pi\)
−0.0402982 + 0.999188i \(0.512831\pi\)
\(140\) −0.540591 + 0.841176i −0.0456883 + 0.0710924i
\(141\) 5.04045 0.0512938i 0.424483 0.00431972i
\(142\) 4.32395 + 9.46812i 0.362858 + 0.794547i
\(143\) 20.1261 + 5.90955i 1.68303 + 0.494181i
\(144\) 1.91804 2.30676i 0.159836 0.192230i
\(145\) −7.63970 6.61984i −0.634443 0.549748i
\(146\) 6.49673 + 0.934089i 0.537673 + 0.0773057i
\(147\) −1.71182 + 0.263930i −0.141189 + 0.0217685i
\(148\) 3.72517 3.22787i 0.306207 0.265330i
\(149\) −16.4795 + 10.5907i −1.35005 + 0.867626i −0.997670 0.0682307i \(-0.978265\pi\)
−0.352382 + 0.935856i \(0.614628\pi\)
\(150\) 2.94220 + 6.27279i 0.240229 + 0.512171i
\(151\) −5.22200 6.02650i −0.424960 0.490430i 0.502382 0.864646i \(-0.332457\pi\)
−0.927342 + 0.374216i \(0.877912\pi\)
\(152\) 7.63646 2.24227i 0.619399 0.181872i
\(153\) 0.925410 2.14061i 0.0748150 0.173058i
\(154\) −2.82182 + 3.25655i −0.227389 + 0.262420i
\(155\) 1.56312 3.42275i 0.125553 0.274922i
\(156\) −7.70468 3.42429i −0.616868 0.274163i
\(157\) −11.0189 + 5.03217i −0.879406 + 0.401611i −0.803360 0.595493i \(-0.796957\pi\)
−0.0760456 + 0.997104i \(0.524229\pi\)
\(158\) 0.277496 + 1.93003i 0.0220764 + 0.153545i
\(159\) 8.26338 + 7.01431i 0.655329 + 0.556271i
\(160\) 0.999908i 0.0790497i
\(161\) 4.79211 + 0.188983i 0.377671 + 0.0148939i
\(162\) −4.55364 + 7.76301i −0.357768 + 0.609920i
\(163\) 10.5846 + 6.80234i 0.829053 + 0.532800i 0.884977 0.465635i \(-0.154174\pi\)
−0.0559237 + 0.998435i \(0.517810\pi\)
\(164\) 7.73268 1.11179i 0.603821 0.0868164i
\(165\) −2.17527 7.13872i −0.169344 0.555749i
\(166\) −0.596517 + 2.03155i −0.0462987 + 0.157679i
\(167\) −16.6190 7.58964i −1.28602 0.587304i −0.349174 0.937058i \(-0.613538\pi\)
−0.936842 + 0.349754i \(0.886265\pi\)
\(168\) 1.29739 1.14751i 0.100096 0.0885326i
\(169\) −1.52219 + 10.5871i −0.117092 + 0.814392i
\(170\) −0.218988 0.745804i −0.0167956 0.0572005i
\(171\) −21.5125 + 10.3586i −1.64510 + 0.792143i
\(172\) 3.36930 + 5.24273i 0.256907 + 0.399755i
\(173\) −7.23421 11.2567i −0.550007 0.855827i 0.449287 0.893387i \(-0.351678\pi\)
−0.999294 + 0.0375598i \(0.988042\pi\)
\(174\) 9.61631 + 14.6337i 0.729010 + 1.10938i
\(175\) 1.12698 + 3.83815i 0.0851918 + 0.290137i
\(176\) 0.613240 4.26518i 0.0462247 0.321500i
\(177\) −4.89868 5.53848i −0.368207 0.416298i
\(178\) −12.2453 5.59223i −0.917822 0.419155i
\(179\) −1.73332 + 5.90314i −0.129554 + 0.441221i −0.998564 0.0535740i \(-0.982939\pi\)
0.869010 + 0.494795i \(0.164757\pi\)
\(180\) 0.487242 + 2.95989i 0.0363169 + 0.220617i
\(181\) −25.6989 + 3.69494i −1.91018 + 0.274643i −0.992459 0.122575i \(-0.960885\pi\)
−0.917724 + 0.397218i \(0.869976\pi\)
\(182\) −4.09510 2.63176i −0.303549 0.195079i
\(183\) 1.90050 14.2459i 0.140489 1.05309i
\(184\) −4.13355 + 2.43183i −0.304729 + 0.179277i
\(185\) 4.92865i 0.362361i
\(186\) −4.21799 + 4.96911i −0.309278 + 0.364353i
\(187\) −0.476708 3.31558i −0.0348604 0.242459i
\(188\) −2.64726 + 1.20896i −0.193072 + 0.0881728i
\(189\) −3.28131 + 4.02902i −0.238680 + 0.293068i
\(190\) −3.30592 + 7.23896i −0.239837 + 0.525169i
\(191\) 11.7489 13.5589i 0.850118 0.981088i −0.149853 0.988708i \(-0.547880\pi\)
0.999971 + 0.00762017i \(0.00242560\pi\)
\(192\) −0.471039 + 1.66677i −0.0339943 + 0.120289i
\(193\) −1.22114 + 0.358560i −0.0878998 + 0.0258097i −0.325387 0.945581i \(-0.605494\pi\)
0.237487 + 0.971391i \(0.423676\pi\)
\(194\) −1.90302 2.19620i −0.136629 0.157678i
\(195\) 7.63270 3.58005i 0.546589 0.256373i
\(196\) 0.841254 0.540641i 0.0600895 0.0386172i
\(197\) 6.38265 5.53060i 0.454745 0.394039i −0.397148 0.917755i \(-0.630000\pi\)
0.851893 + 0.523716i \(0.175455\pi\)
\(198\) 0.263076 + 12.9244i 0.0186960 + 0.918499i
\(199\) −6.47493 0.930955i −0.458996 0.0659936i −0.0910612 0.995845i \(-0.529026\pi\)
−0.367935 + 0.929852i \(0.619935\pi\)
\(200\) −3.02314 2.61956i −0.213768 0.185231i
\(201\) 11.7777 + 7.40079i 0.830733 + 0.522012i
\(202\) −10.7597 3.15932i −0.757046 0.222289i
\(203\) 4.19972 + 9.19611i 0.294763 + 0.645440i
\(204\) 0.0137011 + 1.34636i 0.000959270 + 0.0942639i
\(205\) −4.22321 + 6.57144i −0.294962 + 0.458969i
\(206\) −2.28591 −0.159267
\(207\) 11.0510 9.21282i 0.768096 0.640335i
\(208\) 4.86785 0.337525
\(209\) −18.5413 + 28.8508i −1.28253 + 1.99565i
\(210\) 0.0176236 + 1.73180i 0.00121614 + 0.119506i
\(211\) 8.20862 + 17.9744i 0.565105 + 1.23741i 0.949363 + 0.314182i \(0.101730\pi\)
−0.384258 + 0.923226i \(0.625543\pi\)
\(212\) −6.00441 1.76305i −0.412385 0.121087i
\(213\) 15.2649 + 9.59209i 1.04593 + 0.657239i
\(214\) 1.28571 + 1.11407i 0.0878892 + 0.0761564i
\(215\) −6.16805 0.886832i −0.420657 0.0604814i
\(216\) 0.582155 5.16344i 0.0396106 0.351327i
\(217\) −2.84399 + 2.46433i −0.193062 + 0.167289i
\(218\) −11.9016 + 7.64869i −0.806078 + 0.518035i
\(219\) 10.2924 4.82758i 0.695499 0.326218i
\(220\) 2.82156 + 3.25625i 0.190230 + 0.219537i
\(221\) 3.63079 1.06610i 0.244234 0.0717134i
\(222\) 2.32180 8.21568i 0.155829 0.551400i
\(223\) 3.91690 4.52035i 0.262295 0.302705i −0.609291 0.792946i \(-0.708546\pi\)
0.871587 + 0.490242i \(0.163091\pi\)
\(224\) −0.415415 + 0.909632i −0.0277561 + 0.0607773i
\(225\) 10.2254 + 6.28119i 0.681697 + 0.418746i
\(226\) 9.55582 4.36400i 0.635644 0.290289i
\(227\) −0.159448 1.10899i −0.0105830 0.0736061i 0.983846 0.179020i \(-0.0572925\pi\)
−0.994428 + 0.105413i \(0.966383\pi\)
\(228\) 8.92086 10.5094i 0.590798 0.696004i
\(229\) 5.41818i 0.358044i 0.983845 + 0.179022i \(0.0572933\pi\)
−0.983845 + 0.179022i \(0.942707\pi\)
\(230\) 0.868967 4.71600i 0.0572980 0.310964i
\(231\) −0.986933 + 7.39793i −0.0649354 + 0.486748i
\(232\) −8.50482 5.46572i −0.558369 0.358842i
\(233\) −15.9348 + 2.29109i −1.04393 + 0.150094i −0.642883 0.765965i \(-0.722262\pi\)
−0.401044 + 0.916059i \(0.631353\pi\)
\(234\) −14.4096 + 2.37204i −0.941986 + 0.155065i
\(235\) 0.819839 2.79212i 0.0534804 0.182138i
\(236\) 3.88318 + 1.77339i 0.252773 + 0.115438i
\(237\) 2.23750 + 2.52974i 0.145342 + 0.164324i
\(238\) −0.110630 + 0.769448i −0.00717107 + 0.0498759i
\(239\) 4.67031 + 15.9056i 0.302097 + 1.02885i 0.960983 + 0.276606i \(0.0892096\pi\)
−0.658886 + 0.752242i \(0.728972\pi\)
\(240\) −0.951109 1.44736i −0.0613938 0.0934265i
\(241\) 15.0893 + 23.4794i 0.971987 + 1.51244i 0.854555 + 0.519360i \(0.173830\pi\)
0.117432 + 0.993081i \(0.462534\pi\)
\(242\) 4.09146 + 6.36643i 0.263009 + 0.409250i
\(243\) 0.792804 + 15.5683i 0.0508584 + 0.998706i
\(244\) 2.33775 + 7.96163i 0.149659 + 0.509691i
\(245\) −0.142302 + 0.989731i −0.00909133 + 0.0632316i
\(246\) 10.1354 8.96461i 0.646212 0.571562i
\(247\) −35.2414 16.0942i −2.24236 1.02405i
\(248\) 1.06020 3.61070i 0.0673226 0.229280i
\(249\) 1.06895 + 3.50805i 0.0677420 + 0.222314i
\(250\) 8.90776 1.28074i 0.563376 0.0810013i
\(251\) 16.9201 + 10.8739i 1.06799 + 0.686355i 0.951753 0.306866i \(-0.0992803\pi\)
0.116237 + 0.993221i \(0.462917\pi\)
\(252\) 0.786443 2.89508i 0.0495413 0.182373i
\(253\) 6.59894 19.5835i 0.414872 1.23120i
\(254\) 22.1119i 1.38743i
\(255\) −1.02639 0.871243i −0.0642749 0.0545593i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) −17.8864 + 8.16844i −1.11572 + 0.509533i −0.885982 0.463719i \(-0.846515\pi\)
−0.229740 + 0.973252i \(0.573788\pi\)
\(258\) 9.86389 + 4.38394i 0.614099 + 0.272932i
\(259\) 2.04762 4.48367i 0.127233 0.278602i
\(260\) −3.18747 + 3.67854i −0.197679 + 0.228133i
\(261\) 27.8390 + 12.0351i 1.72319 + 0.744955i
\(262\) 2.46933 0.725060i 0.152556 0.0447944i
\(263\) −13.5639 15.6536i −0.836388 0.965243i 0.163385 0.986562i \(-0.447759\pi\)
−0.999773 + 0.0213196i \(0.993213\pi\)
\(264\) −3.16936 6.75711i −0.195061 0.415871i
\(265\) 5.26400 3.38297i 0.323365 0.207814i
\(266\) 6.01490 5.21194i 0.368797 0.319564i
\(267\) −23.0442 + 3.55296i −1.41028 + 0.217438i
\(268\) −7.94914 1.14291i −0.485571 0.0698146i
\(269\) −24.4571 21.1922i −1.49118 1.29211i −0.852611 0.522546i \(-0.824982\pi\)
−0.638566 0.769567i \(-0.720472\pi\)
\(270\) 3.52071 + 3.82095i 0.214264 + 0.232535i
\(271\) −1.44707 0.424897i −0.0879030 0.0258106i 0.237485 0.971391i \(-0.423677\pi\)
−0.325388 + 0.945580i \(0.605495\pi\)
\(272\) −0.322927 0.707112i −0.0195803 0.0428750i
\(273\) −8.43093 + 0.0857967i −0.510263 + 0.00519265i
\(274\) −4.59361 + 7.14780i −0.277510 + 0.431815i
\(275\) 17.2369 1.03943
\(276\) −3.67012 + 7.45186i −0.220916 + 0.448549i
\(277\) 11.9852 0.720118 0.360059 0.932929i \(-0.382756\pi\)
0.360059 + 0.932929i \(0.382756\pi\)
\(278\) 0.513727 0.799374i 0.0308113 0.0479433i
\(279\) −1.37891 + 11.2049i −0.0825530 + 0.670818i
\(280\) −0.415377 0.909549i −0.0248235 0.0543559i
\(281\) −29.1474 8.55845i −1.73879 0.510554i −0.750202 0.661209i \(-0.770044\pi\)
−0.988586 + 0.150655i \(0.951862\pi\)
\(282\) −2.68192 + 4.26803i −0.159706 + 0.254157i
\(283\) 1.47269 + 1.27610i 0.0875425 + 0.0758560i 0.697533 0.716553i \(-0.254281\pi\)
−0.609990 + 0.792409i \(0.708827\pi\)
\(284\) −10.3028 1.48132i −0.611358 0.0879001i
\(285\) 2.10038 + 13.6229i 0.124416 + 0.806951i
\(286\) −15.8524 + 13.7362i −0.937373 + 0.812238i
\(287\) 6.57204 4.22359i 0.387935 0.249311i
\(288\) 0.903602 + 2.86068i 0.0532452 + 0.168567i
\(289\) 10.7369 + 12.3911i 0.631583 + 0.728885i
\(290\) 9.69930 2.84797i 0.569562 0.167239i
\(291\) −4.84361 1.36883i −0.283938 0.0802423i
\(292\) −4.29820 + 4.96039i −0.251533 + 0.290285i
\(293\) −1.61937 + 3.54594i −0.0946049 + 0.207156i −0.951018 0.309135i \(-0.899960\pi\)
0.856413 + 0.516291i \(0.172688\pi\)
\(294\) 0.703450 1.58277i 0.0410261 0.0923090i
\(295\) −3.88282 + 1.77322i −0.226067 + 0.103241i
\(296\) 0.701484 + 4.87893i 0.0407729 + 0.283582i
\(297\) 12.6745 + 18.4577i 0.735447 + 1.07103i
\(298\) 19.5892i 1.13477i
\(299\) 22.9589 + 4.23039i 1.32775 + 0.244650i
\(300\) −6.86768 0.916194i −0.396506 0.0528965i
\(301\) 5.24273 + 3.36930i 0.302186 + 0.194203i
\(302\) 7.89304 1.13485i 0.454193 0.0653032i
\(303\) −18.5796 + 5.66146i −1.06737 + 0.325242i
\(304\) −2.24227 + 7.63646i −0.128603 + 0.437981i
\(305\) −7.54720 3.44669i −0.432152 0.197357i
\(306\) 1.30048 + 1.93581i 0.0743437 + 0.110663i
\(307\) −3.84963 + 26.7748i −0.219710 + 1.52812i 0.519400 + 0.854531i \(0.326156\pi\)
−0.739110 + 0.673585i \(0.764754\pi\)
\(308\) −1.21400 4.13449i −0.0691738 0.235584i
\(309\) −3.30883 + 2.17435i −0.188233 + 0.123694i
\(310\) 2.03432 + 3.16546i 0.115541 + 0.179786i
\(311\) −16.7423 26.0515i −0.949367 1.47724i −0.877356 0.479840i \(-0.840695\pi\)
−0.0720106 0.997404i \(-0.522942\pi\)
\(312\) 7.04616 4.63028i 0.398910 0.262138i
\(313\) −5.58205 19.0107i −0.315516 1.07455i −0.952719 0.303853i \(-0.901727\pi\)
0.637203 0.770696i \(-0.280091\pi\)
\(314\) 1.72395 11.9903i 0.0972879 0.676652i
\(315\) 1.67279 + 2.49000i 0.0942512 + 0.140296i
\(316\) −1.77367 0.810006i −0.0997765 0.0455664i
\(317\) −2.52278 + 8.59180i −0.141693 + 0.482563i −0.999507 0.0313975i \(-0.990004\pi\)
0.857814 + 0.513961i \(0.171822\pi\)
\(318\) −10.3683 + 3.15937i −0.581427 + 0.177169i
\(319\) 43.1196 6.19967i 2.41424 0.347115i
\(320\) 0.841176 + 0.540591i 0.0470232 + 0.0302200i
\(321\) 2.92075 + 0.389648i 0.163020 + 0.0217480i
\(322\) −2.74979 + 3.92920i −0.153240 + 0.218966i
\(323\) 6.18689i 0.344248i
\(324\) −4.06878 8.02777i −0.226043 0.445987i
\(325\) 2.77120 + 19.2741i 0.153718 + 1.06913i
\(326\) −11.4450 + 5.22675i −0.633879 + 0.289483i
\(327\) −9.95203 + 22.3921i −0.550348 + 1.23829i
\(328\) −3.24531 + 7.10623i −0.179192 + 0.392376i
\(329\) −1.90581 + 2.19943i −0.105071 + 0.121258i
\(330\) 7.18151 + 2.02954i 0.395329 + 0.111722i
\(331\) 29.5620 8.68020i 1.62488 0.477107i 0.662554 0.749014i \(-0.269473\pi\)
0.962323 + 0.271907i \(0.0876544\pi\)
\(332\) −1.38655 1.60016i −0.0760967 0.0878202i
\(333\) −4.45394 14.1006i −0.244075 0.772708i
\(334\) 15.3697 9.87751i 0.840993 0.540474i
\(335\) 6.06878 5.25863i 0.331573 0.287310i
\(336\) 0.263930 + 1.71182i 0.0143985 + 0.0933877i
\(337\) −24.0224 3.45390i −1.30858 0.188146i −0.547502 0.836804i \(-0.684421\pi\)
−0.761080 + 0.648658i \(0.775330\pi\)
\(338\) −8.08347 7.00437i −0.439683 0.380987i
\(339\) 9.68093 15.4063i 0.525796 0.836755i
\(340\) 0.745804 + 0.218988i 0.0404469 + 0.0118763i
\(341\) 6.73615 + 14.7501i 0.364783 + 0.798763i
\(342\) 2.91632 23.6978i 0.157697 1.28143i
\(343\) 0.540641 0.841254i 0.0291919 0.0454234i
\(344\) −6.23205 −0.336009
\(345\) −3.22802 7.65292i −0.173791 0.412020i
\(346\) 13.3808 0.719357
\(347\) −8.36112 + 13.0102i −0.448848 + 0.698421i −0.989773 0.142649i \(-0.954438\pi\)
0.540925 + 0.841071i \(0.318074\pi\)
\(348\) −17.5096 + 0.178185i −0.938613 + 0.00955173i
\(349\) 5.14770 + 11.2719i 0.275550 + 0.603371i 0.995922 0.0902173i \(-0.0287561\pi\)
−0.720372 + 0.693588i \(0.756029\pi\)
\(350\) −3.83815 1.12698i −0.205158 0.0602397i
\(351\) −18.6015 + 17.1399i −0.992874 + 0.914859i
\(352\) 3.25655 + 2.82182i 0.173575 + 0.150403i
\(353\) 15.2861 + 2.19780i 0.813595 + 0.116977i 0.536538 0.843876i \(-0.319732\pi\)
0.277057 + 0.960853i \(0.410641\pi\)
\(354\) 7.30770 1.12670i 0.388400 0.0598836i
\(355\) 7.86568 6.81565i 0.417467 0.361737i
\(356\) 11.3248 7.27799i 0.600212 0.385733i
\(357\) 0.571760 + 1.21900i 0.0302608 + 0.0645163i
\(358\) −4.02893 4.64963i −0.212936 0.245741i
\(359\) 24.3869 7.16063i 1.28709 0.377924i 0.434579 0.900633i \(-0.356897\pi\)
0.852511 + 0.522710i \(0.175079\pi\)
\(360\) −2.75344 1.19034i −0.145119 0.0627366i
\(361\) 29.0387 33.5124i 1.52835 1.76381i
\(362\) 10.7855 23.6169i 0.566873 1.24128i
\(363\) 11.9781 + 5.32356i 0.628685 + 0.279415i
\(364\) 4.42795 2.02218i 0.232088 0.105991i
\(365\) −0.934003 6.49613i −0.0488879 0.340023i
\(366\) 10.9569 + 9.30072i 0.572728 + 0.486156i
\(367\) 2.55388i 0.133312i 0.997776 + 0.0666558i \(0.0212329\pi\)
−0.997776 + 0.0666558i \(0.978767\pi\)
\(368\) 0.188983 4.79211i 0.00985140 0.249806i
\(369\) 6.14385 22.6170i 0.319836 1.17739i
\(370\) −4.14624 2.66463i −0.215553 0.138527i
\(371\) −6.19421 + 0.890592i −0.321587 + 0.0462373i
\(372\) −1.89986 6.23490i −0.0985031 0.323265i
\(373\) 1.17143 3.98954i 0.0606546 0.206571i −0.923590 0.383381i \(-0.874760\pi\)
0.984245 + 0.176810i \(0.0565779\pi\)
\(374\) 3.04697 + 1.39151i 0.157555 + 0.0719530i
\(375\) 11.6756 10.3269i 0.602928 0.533278i
\(376\) 0.414173 2.88064i 0.0213593 0.148557i
\(377\) 13.8648 + 47.2190i 0.714072 + 2.43190i
\(378\) −1.61542 4.93866i −0.0830884 0.254017i
\(379\) −11.0061 17.1258i −0.565344 0.879693i 0.434435 0.900703i \(-0.356948\pi\)
−0.999779 + 0.0210103i \(0.993312\pi\)
\(380\) −4.30248 6.69479i −0.220713 0.343436i
\(381\) −21.0328 32.0068i −1.07754 1.63976i
\(382\) 5.05457 + 17.2143i 0.258614 + 0.880759i
\(383\) 0.450683 3.13457i 0.0230288 0.160169i −0.975062 0.221933i \(-0.928763\pi\)
0.998091 + 0.0617637i \(0.0196725\pi\)
\(384\) −1.14751 1.29739i −0.0585588 0.0662070i
\(385\) 3.91928 + 1.78987i 0.199745 + 0.0912204i
\(386\) 0.358560 1.22114i 0.0182502 0.0621546i
\(387\) 18.4479 3.03679i 0.937758 0.154369i
\(388\) 2.87641 0.413565i 0.146027 0.0209956i
\(389\) 19.2460 + 12.3687i 0.975812 + 0.627116i 0.928330 0.371756i \(-0.121244\pi\)
0.0474812 + 0.998872i \(0.484881\pi\)
\(390\) −1.11482 + 8.35656i −0.0564511 + 0.423151i
\(391\) −0.908552 3.61569i −0.0459474 0.182853i
\(392\) 1.00000i 0.0505076i
\(393\) 2.88465 3.39833i 0.145512 0.171423i
\(394\) 1.20191 + 8.35950i 0.0605516 + 0.421145i
\(395\) 1.77350 0.809932i 0.0892346 0.0407521i
\(396\) −11.0150 6.76616i −0.553522 0.340012i
\(397\) 8.69536 19.0402i 0.436408 0.955599i −0.555836 0.831292i \(-0.687602\pi\)
0.992244 0.124308i \(-0.0396709\pi\)
\(398\) 4.28378 4.94375i 0.214727 0.247808i
\(399\) 3.74892 13.2656i 0.187681 0.664109i
\(400\) 3.83815 1.12698i 0.191907 0.0563491i
\(401\) −14.0312 16.1928i −0.700684 0.808632i 0.288161 0.957582i \(-0.406956\pi\)
−0.988845 + 0.148950i \(0.952411\pi\)
\(402\) −12.5934 + 5.90684i −0.628103 + 0.294606i
\(403\) −15.4104 + 9.90365i −0.767646 + 0.493336i
\(404\) 8.47489 7.34354i 0.421642 0.365355i
\(405\) 8.73066 + 2.18189i 0.433830 + 0.108419i
\(406\) −10.0068 1.43876i −0.496629 0.0714045i
\(407\) −16.0519 13.9090i −0.795662 0.689445i
\(408\) −1.14004 0.716370i −0.0564402 0.0354656i
\(409\) 13.7652 + 4.04184i 0.680648 + 0.199856i 0.603739 0.797182i \(-0.293677\pi\)
0.0769086 + 0.997038i \(0.475495\pi\)
\(410\) −3.24501 7.10558i −0.160260 0.350919i
\(411\) 0.149754 + 14.7158i 0.00738683 + 0.725877i
\(412\) 1.23586 1.92303i 0.0608862 0.0947409i
\(413\) 4.26895 0.210061
\(414\) 1.77571 + 14.2775i 0.0872715 + 0.701701i
\(415\) 2.11712 0.103925
\(416\) −2.63176 + 4.09510i −0.129033 + 0.200779i
\(417\) −0.0167478 1.64574i −0.000820141 0.0805923i
\(418\) −14.2466 31.1958i −0.696826 1.52584i
\(419\) 17.0933 + 5.01904i 0.835061 + 0.245196i 0.671190 0.741286i \(-0.265784\pi\)
0.163871 + 0.986482i \(0.447602\pi\)
\(420\) −1.46641 0.921457i −0.0715536 0.0449625i
\(421\) −10.2538 8.88495i −0.499739 0.433026i 0.368164 0.929761i \(-0.379987\pi\)
−0.867902 + 0.496735i \(0.834532\pi\)
\(422\) −19.5589 2.81215i −0.952114 0.136893i
\(423\) 0.177678 + 8.72896i 0.00863898 + 0.424417i
\(424\) 4.72941 4.09805i 0.229680 0.199019i
\(425\) 2.61595 1.68117i 0.126892 0.0815486i
\(426\) −16.3222 + 7.65578i −0.790814 + 0.370924i
\(427\) 5.43387 + 6.27102i 0.262963 + 0.303476i
\(428\) −1.63232 + 0.479294i −0.0789013 + 0.0231675i
\(429\) −9.88038 + 34.9617i −0.477029 + 1.68797i
\(430\) 4.08075 4.70944i 0.196791 0.227109i
\(431\) −3.11374 + 6.81814i −0.149984 + 0.328418i −0.969679 0.244381i \(-0.921415\pi\)
0.819696 + 0.572799i \(0.194143\pi\)
\(432\) 4.02902 + 3.28131i 0.193847 + 0.157872i
\(433\) −5.87928 + 2.68498i −0.282540 + 0.129032i −0.551645 0.834079i \(-0.686000\pi\)
0.269104 + 0.963111i \(0.413272\pi\)
\(434\) −0.535549 3.72483i −0.0257072 0.178797i
\(435\) 11.3307 13.3483i 0.543263 0.640004i
\(436\) 14.1475i 0.677540i
\(437\) −17.2119 + 34.0682i −0.823359 + 1.62970i
\(438\) −1.50330 + 11.2685i −0.0718304 + 0.538432i
\(439\) 8.36440 + 5.37548i 0.399211 + 0.256557i 0.724808 0.688951i \(-0.241929\pi\)
−0.325596 + 0.945509i \(0.605565\pi\)
\(440\) −4.26479 + 0.613184i −0.203316 + 0.0292324i
\(441\) −0.487287 2.96016i −0.0232041 0.140960i
\(442\) −1.06610 + 3.63079i −0.0507091 + 0.172699i
\(443\) 9.67784 + 4.41972i 0.459808 + 0.209987i 0.631832 0.775105i \(-0.282303\pi\)
−0.172024 + 0.985093i \(0.555031\pi\)
\(444\) 5.65621 + 6.39495i 0.268432 + 0.303491i
\(445\) −1.91564 + 13.3235i −0.0908098 + 0.631596i
\(446\) 1.68512 + 5.73899i 0.0797927 + 0.271749i
\(447\) −18.6332 28.3552i −0.881319 1.34115i
\(448\) −0.540641 0.841254i −0.0255429 0.0397455i
\(449\) 0.563343 + 0.876579i 0.0265858 + 0.0413683i 0.854292 0.519793i \(-0.173991\pi\)
−0.827706 + 0.561162i \(0.810355\pi\)
\(450\) −10.8124 + 5.20633i −0.509700 + 0.245429i
\(451\) −9.48398 32.2995i −0.446583 1.52092i
\(452\) −1.49504 + 10.3982i −0.0703207 + 0.489091i
\(453\) 10.3456 9.15051i 0.486080 0.429928i
\(454\) 1.01914 + 0.465428i 0.0478308 + 0.0218436i
\(455\) −1.37131 + 4.67024i −0.0642878 + 0.218944i
\(456\) 4.01811 + 13.1865i 0.188165 + 0.617516i
\(457\) −24.5169 + 3.52499i −1.14685 + 0.164892i −0.689426 0.724356i \(-0.742137\pi\)
−0.457424 + 0.889249i \(0.651228\pi\)
\(458\) −4.55807 2.92929i −0.212984 0.136877i
\(459\) 3.72377 + 1.56505i 0.173811 + 0.0730501i
\(460\) 3.49755 + 3.28069i 0.163074 + 0.152963i
\(461\) 36.3457i 1.69279i 0.532558 + 0.846394i \(0.321231\pi\)
−0.532558 + 0.846394i \(0.678769\pi\)
\(462\) −5.68996 4.82988i −0.264721 0.224706i
\(463\) −3.76997 26.2207i −0.175205 1.21858i −0.867674 0.497133i \(-0.834386\pi\)
0.692469 0.721448i \(-0.256523\pi\)
\(464\) 9.19611 4.19972i 0.426918 0.194967i
\(465\) 5.95562 + 2.64693i 0.276185 + 0.122749i
\(466\) 6.68765 14.6439i 0.309799 0.678366i
\(467\) 1.65201 1.90652i 0.0764459 0.0882232i −0.716238 0.697856i \(-0.754138\pi\)
0.792684 + 0.609633i \(0.208683\pi\)
\(468\) 5.79494 13.4046i 0.267871 0.619626i
\(469\) −7.70558 + 2.26256i −0.355810 + 0.104475i
\(470\) 1.90564 + 2.19922i 0.0879006 + 0.101443i
\(471\) −8.90974 18.9957i −0.410539 0.875274i
\(472\) −3.59127 + 2.30797i −0.165302 + 0.106233i
\(473\) 20.2950 17.5857i 0.933165 0.808592i
\(474\) −3.33784 + 0.514629i −0.153312 + 0.0236377i
\(475\) −31.5128 4.53086i −1.44591 0.207890i
\(476\) −0.587490 0.509063i −0.0269276 0.0233329i
\(477\) −12.0029 + 14.4355i −0.549574 + 0.660955i
\(478\) −15.9056 4.67031i −0.727506 0.213615i
\(479\) −9.70248 21.2455i −0.443318 0.970730i −0.990977 0.134029i \(-0.957208\pi\)
0.547660 0.836701i \(-0.315519\pi\)
\(480\) 1.73180 0.0176236i 0.0790456 0.000804402i
\(481\) 12.9722 20.1851i 0.591481 0.920363i
\(482\) −27.9100 −1.27127
\(483\) −0.242849 + 8.30307i −0.0110500 + 0.377803i
\(484\) −7.56779 −0.343991
\(485\) −1.57095 + 2.44445i −0.0713332 + 0.110997i
\(486\) −13.5255 7.74990i −0.613529 0.351543i
\(487\) 8.84874 + 19.3760i 0.400975 + 0.878012i 0.997171 + 0.0751730i \(0.0239509\pi\)
−0.596196 + 0.802839i \(0.703322\pi\)
\(488\) −7.96163 2.33775i −0.360406 0.105825i
\(489\) −11.5948 + 18.4521i −0.524336 + 0.834432i
\(490\) −0.755680 0.654801i −0.0341382 0.0295809i
\(491\) 31.2973 + 4.49988i 1.41243 + 0.203077i 0.805931 0.592009i \(-0.201665\pi\)
0.606497 + 0.795086i \(0.292574\pi\)
\(492\) 2.06187 + 13.3731i 0.0929563 + 0.602906i
\(493\) 5.93935 5.14647i 0.267495 0.231785i
\(494\) 32.5922 20.9458i 1.46639 0.942394i
\(495\) 12.3257 3.89330i 0.553997 0.174991i
\(496\) 2.46433 + 2.84399i 0.110652 + 0.127699i
\(497\) −9.98711 + 2.93248i −0.447983 + 0.131540i
\(498\) −3.52908 0.997338i −0.158142 0.0446918i
\(499\) −2.63573 + 3.04180i −0.117992 + 0.136170i −0.811672 0.584113i \(-0.801442\pi\)
0.693681 + 0.720283i \(0.255988\pi\)
\(500\) −3.73847 + 8.18610i −0.167189 + 0.366094i
\(501\) 12.8520 28.9172i 0.574187 1.29193i
\(502\) −18.2954 + 8.35525i −0.816565 + 0.372913i
\(503\) −4.60676 32.0407i −0.205405 1.42862i −0.787907 0.615794i \(-0.788835\pi\)
0.582502 0.812829i \(-0.302074\pi\)
\(504\) 2.01032 + 2.22680i 0.0895466 + 0.0991895i
\(505\) 11.2129i 0.498966i
\(506\) 12.9070 + 16.1390i 0.573787 + 0.717467i
\(507\) −18.3633 2.44978i −0.815541 0.108799i
\(508\) 18.6017 + 11.9546i 0.825319 + 0.530400i
\(509\) 29.5804 4.25302i 1.31113 0.188512i 0.548937 0.835864i \(-0.315033\pi\)
0.762191 + 0.647352i \(0.224124\pi\)
\(510\) 1.28784 0.392423i 0.0570267 0.0173768i
\(511\) −1.84916 + 6.29767i −0.0818021 + 0.278592i
\(512\) 0.909632 + 0.415415i 0.0402004 + 0.0183589i
\(513\) −18.3199 37.0763i −0.808842 1.63696i
\(514\) 2.79838 19.4632i 0.123431 0.858484i
\(515\) 0.643956 + 2.19311i 0.0283761 + 0.0966401i
\(516\) −9.02082 + 5.92790i −0.397120 + 0.260961i
\(517\) 6.77985 + 10.5497i 0.298178 + 0.463973i
\(518\) 2.66487 + 4.14662i 0.117088 + 0.182192i
\(519\) 19.3686 12.7278i 0.850186 0.558687i
\(520\) −1.37131 4.67024i −0.0601358 0.204804i
\(521\) −0.573150 + 3.98635i −0.0251102 + 0.174645i −0.998517 0.0544374i \(-0.982663\pi\)
0.973407 + 0.229082i \(0.0735725\pi\)
\(522\) −25.1755 + 16.9130i −1.10190 + 0.740261i
\(523\) −14.7575 6.73953i −0.645301 0.294699i 0.0657538 0.997836i \(-0.479055\pi\)
−0.711054 + 0.703137i \(0.751782\pi\)
\(524\) −0.725060 + 2.46933i −0.0316744 + 0.107873i
\(525\) −6.62766 + 2.01954i −0.289255 + 0.0881398i
\(526\) 20.5019 2.94772i 0.893924 0.128527i
\(527\) 2.46093 + 1.58154i 0.107200 + 0.0688931i
\(528\) 7.39793 + 0.986933i 0.321953 + 0.0429507i
\(529\) 5.05589 22.4374i 0.219821 0.975540i
\(530\) 6.25733i 0.271801i
\(531\) 9.50610 8.58194i 0.412530 0.372425i
\(532\) 1.13266 + 7.87784i 0.0491071 + 0.341548i
\(533\) 34.5921 15.7977i 1.49835 0.684273i
\(534\) 9.46969 21.3069i 0.409794 0.922039i
\(535\) 0.706654 1.54736i 0.0305513 0.0668981i
\(536\) 5.25911 6.06934i 0.227159 0.262155i
\(537\) −10.2546 2.89799i −0.442517 0.125058i
\(538\) 31.0506 9.11727i 1.33868 0.393073i
\(539\) −2.82182 3.25655i −0.121544 0.140270i
\(540\) −5.11783 + 0.896053i −0.220236 + 0.0385600i
\(541\) 25.3932 16.3192i 1.09174 0.701619i 0.134500 0.990914i \(-0.457057\pi\)
0.957240 + 0.289295i \(0.0934208\pi\)
\(542\) 1.13979 0.987632i 0.0489581 0.0424224i
\(543\) −6.85244 44.4444i −0.294067 1.90729i
\(544\) 0.769448 + 0.110630i 0.0329898 + 0.00474322i
\(545\) 10.6910 + 9.26376i 0.457950 + 0.396816i
\(546\) 4.48593 7.13893i 0.191980 0.305518i
\(547\) −24.6111 7.22647i −1.05229 0.308981i −0.290550 0.956860i \(-0.593838\pi\)
−0.761744 + 0.647878i \(0.775657\pi\)
\(548\) −3.52962 7.72879i −0.150778 0.330157i
\(549\) 24.7069 + 3.04050i 1.05446 + 0.129766i
\(550\) −9.31899 + 14.5006i −0.397363 + 0.618309i
\(551\) −80.4616 −3.42778
\(552\) −4.28468 7.11628i −0.182368 0.302889i
\(553\) −1.94987 −0.0829170
\(554\) −6.47967 + 10.0826i −0.275295 + 0.428367i
\(555\) −8.53623 + 0.0868683i −0.362343 + 0.00368735i
\(556\) 0.394735 + 0.864349i 0.0167405 + 0.0366566i
\(557\) −14.1177 4.14532i −0.598185 0.175643i −0.0313974 0.999507i \(-0.509996\pi\)
−0.566787 + 0.823864i \(0.691814\pi\)
\(558\) −8.68064 7.21782i −0.367481 0.305555i
\(559\) 22.9269 + 19.8663i 0.969706 + 0.840255i
\(560\) 0.989731 + 0.142302i 0.0418238 + 0.00601335i
\(561\) 5.73405 0.884078i 0.242092 0.0373258i
\(562\) 22.9581 19.8933i 0.968429 0.839148i
\(563\) −14.2349 + 9.14821i −0.599929 + 0.385551i −0.805069 0.593182i \(-0.797872\pi\)
0.205139 + 0.978733i \(0.434235\pi\)
\(564\) −2.14054 4.56365i −0.0901329 0.192164i
\(565\) −6.87878 7.93853i −0.289392 0.333977i
\(566\) −1.86972 + 0.548999i −0.0785901 + 0.0230761i
\(567\) −7.03595 5.61208i −0.295482 0.235685i
\(568\) 6.81627 7.86640i 0.286005 0.330067i
\(569\) 6.20031 13.5768i 0.259930 0.569168i −0.734004 0.679145i \(-0.762351\pi\)
0.993934 + 0.109977i \(0.0350778\pi\)
\(570\) −12.5959 5.59814i −0.527583 0.234480i
\(571\) 1.63874 0.748389i 0.0685793 0.0313191i −0.380830 0.924645i \(-0.624362\pi\)
0.449409 + 0.893326i \(0.351634\pi\)
\(572\) −2.98516 20.7622i −0.124816 0.868113i
\(573\) 23.6906 + 20.1096i 0.989688 + 0.840090i
\(574\) 7.81220i 0.326075i
\(575\) 19.0818 1.97981i 0.795765 0.0825636i
\(576\) −2.89508 0.786443i −0.120628 0.0327685i
\(577\) 5.33965 + 3.43159i 0.222293 + 0.142859i 0.647048 0.762449i \(-0.276003\pi\)
−0.424755 + 0.905308i \(0.639640\pi\)
\(578\) −16.2288 + 2.33335i −0.675030 + 0.0970547i
\(579\) −0.642535 2.10865i −0.0267028 0.0876327i
\(580\) −2.84797 + 9.69930i −0.118256 + 0.402741i
\(581\) −1.92598 0.879565i −0.0799030 0.0364905i
\(582\) 3.77019 3.33466i 0.156279 0.138226i
\(583\) −3.83759 + 26.6911i −0.158937 + 1.10543i
\(584\) −1.84916 6.29767i −0.0765189 0.260599i
\(585\) 6.33503 + 13.1564i 0.261921 + 0.543952i
\(586\) −2.10753 3.27938i −0.0870613 0.135470i
\(587\) 7.38537 + 11.4919i 0.304827 + 0.474320i 0.959546 0.281553i \(-0.0908494\pi\)
−0.654719 + 0.755872i \(0.727213\pi\)
\(588\) 0.951196 + 1.44749i 0.0392267 + 0.0596935i
\(589\) −8.43794 28.7370i −0.347679 1.18409i
\(590\) 0.607480 4.22511i 0.0250095 0.173945i
\(591\) 9.69128 + 10.9570i 0.398646 + 0.450712i
\(592\) −4.48367 2.04762i −0.184278 0.0841568i
\(593\) −4.32525 + 14.7304i −0.177617 + 0.604907i 0.821768 + 0.569823i \(0.192988\pi\)
−0.999384 + 0.0350842i \(0.988830\pi\)
\(594\) −22.3800 + 0.683433i −0.918262 + 0.0280416i
\(595\) 0.769378 0.110620i 0.0315414 0.00453497i
\(596\) 16.4795 + 10.5907i 0.675026 + 0.433813i
\(597\) 1.49826 11.2307i 0.0613195 0.459644i
\(598\) −15.9713 + 17.0271i −0.653117 + 0.696291i
\(599\) 12.0358i 0.491768i 0.969299 + 0.245884i \(0.0790782\pi\)
−0.969299 + 0.245884i \(0.920922\pi\)
\(600\) 4.48370 5.28213i 0.183046 0.215642i
\(601\) 2.88270 + 20.0496i 0.117588 + 0.817842i 0.960199 + 0.279318i \(0.0901085\pi\)
−0.842611 + 0.538523i \(0.818982\pi\)
\(602\) −5.66887 + 2.58889i −0.231046 + 0.105515i
\(603\) −12.6103 + 20.5289i −0.513531 + 0.836002i
\(604\) −3.31261 + 7.25359i −0.134788 + 0.295145i
\(605\) 4.95540 5.71883i 0.201465 0.232504i
\(606\) 5.28218 18.6910i 0.214574 0.759269i
\(607\) 15.1297 4.44248i 0.614095 0.180315i 0.0401302 0.999194i \(-0.487223\pi\)
0.573965 + 0.818880i \(0.305405\pi\)
\(608\) −5.21194 6.01490i −0.211372 0.243936i
\(609\) −15.8533 + 7.43584i −0.642407 + 0.301315i
\(610\) 6.97987 4.48569i 0.282607 0.181620i
\(611\) −10.7065 + 9.27721i −0.433138 + 0.375316i
\(612\) −2.33160 + 0.0474596i −0.0942493 + 0.00191844i
\(613\) 24.1990 + 3.47929i 0.977389 + 0.140527i 0.612455 0.790506i \(-0.290182\pi\)
0.364935 + 0.931033i \(0.381091\pi\)
\(614\) −20.4431 17.7140i −0.825016 0.714881i
\(615\) −11.4559 7.19861i −0.461947 0.290276i
\(616\) 4.13449 + 1.21400i 0.166583 + 0.0489133i
\(617\) −11.5126 25.2091i −0.463481 1.01488i −0.986680 0.162672i \(-0.947989\pi\)
0.523199 0.852210i \(-0.324738\pi\)
\(618\) −0.0402895 3.95911i −0.00162068 0.159259i
\(619\) 5.55729 8.64731i 0.223366 0.347565i −0.711425 0.702762i \(-0.751950\pi\)
0.934791 + 0.355197i \(0.115586\pi\)
\(620\) −3.76279 −0.151117
\(621\) 16.1510 + 18.9775i 0.648118 + 0.761540i
\(622\) 30.9674 1.24168
\(623\) 7.27799 11.3248i 0.291586 0.453717i
\(624\) 0.0857967 + 8.43093i 0.00343462 + 0.337507i
\(625\) 4.57055 + 10.0081i 0.182822 + 0.400325i
\(626\) 19.0107 + 5.58205i 0.759821 + 0.223103i
\(627\) −50.2952 31.6042i −2.00860 1.26215i
\(628\) 9.15485 + 7.93273i 0.365318 + 0.316550i
\(629\) −3.79269 0.545306i −0.151224 0.0217428i
\(630\) −2.99910 + 0.0610466i −0.119487 + 0.00243216i
\(631\) 5.59847 4.85110i 0.222872 0.193119i −0.536267 0.844048i \(-0.680166\pi\)
0.759139 + 0.650929i \(0.225620\pi\)
\(632\) 1.64034 1.05418i 0.0652491 0.0419330i
\(633\) −30.9863 + 14.5338i −1.23159 + 0.577667i
\(634\) −5.86396 6.76737i −0.232888 0.268767i
\(635\) −21.2143 + 6.22908i −0.841864 + 0.247193i
\(636\) 2.94771 10.4305i 0.116884 0.413596i
\(637\) 3.18776 3.67888i 0.126304 0.145762i
\(638\) −18.0967 + 39.6264i −0.716457 + 1.56882i
\(639\) −16.3441 + 26.6073i −0.646562 + 1.05257i
\(640\) −0.909549 + 0.415377i −0.0359531 + 0.0164192i
\(641\) −0.357221 2.48453i −0.0141094 0.0981328i 0.981550 0.191206i \(-0.0612399\pi\)
−0.995659 + 0.0930735i \(0.970331\pi\)
\(642\) −1.90687 + 2.24643i −0.0752581 + 0.0886596i
\(643\) 29.8445i 1.17695i −0.808514 0.588477i \(-0.799728\pi\)
0.808514 0.588477i \(-0.200272\pi\)
\(644\) −1.81881 4.43756i −0.0716711 0.174864i
\(645\) 1.42724 10.6985i 0.0561977 0.421251i
\(646\) −5.20475 3.34489i −0.204778 0.131603i
\(647\) 17.5747 2.52685i 0.690931 0.0993409i 0.212100 0.977248i \(-0.431970\pi\)
0.478831 + 0.877907i \(0.341061\pi\)
\(648\) 8.95314 + 0.917263i 0.351712 + 0.0360335i
\(649\) 5.18249 17.6499i 0.203431 0.692821i
\(650\) −17.7126 8.08908i −0.694746 0.317280i
\(651\) −4.31824 4.88224i −0.169245 0.191350i
\(652\) 1.79060 12.4539i 0.0701255 0.487733i
\(653\) 3.63035 + 12.3638i 0.142067 + 0.483834i 0.999528 0.0307137i \(-0.00977800\pi\)
−0.857462 + 0.514548i \(0.827960\pi\)
\(654\) −13.4570 20.4783i −0.526210 0.800764i
\(655\) −1.39125 2.16483i −0.0543608 0.0845870i
\(656\) −4.22359 6.57204i −0.164904 0.256595i
\(657\) 8.54259 + 17.7410i 0.333278 + 0.692144i
\(658\) −0.819914 2.79237i −0.0319636 0.108858i
\(659\) 5.18468 36.0602i 0.201966 1.40471i −0.596474 0.802632i \(-0.703432\pi\)
0.798440 0.602074i \(-0.205659\pi\)
\(660\) −5.58997 + 4.94422i −0.217589 + 0.192454i
\(661\) 26.5900 + 12.1432i 1.03423 + 0.472317i 0.858873 0.512188i \(-0.171165\pi\)
0.175356 + 0.984505i \(0.443892\pi\)
\(662\) −8.68020 + 29.5620i −0.337366 + 1.14896i
\(663\) 1.91043 + 6.26960i 0.0741950 + 0.243491i
\(664\) 2.09576 0.301325i 0.0813314 0.0116937i
\(665\) −6.69479 4.30248i −0.259613 0.166843i
\(666\) 14.2702 + 3.87646i 0.552957 + 0.150210i
\(667\) 47.0226 11.8159i 1.82072 0.457512i
\(668\) 18.2700i 0.706888i
\(669\) 7.89810 + 6.70425i 0.305358 + 0.259201i
\(670\) 1.14281 + 7.94841i 0.0441506 + 0.307074i
\(671\) 32.5242 14.8533i 1.25558 0.573405i
\(672\) −1.58277 0.703450i −0.0610566 0.0271362i
\(673\) 13.2019 28.9081i 0.508895 1.11432i −0.464580 0.885531i \(-0.653795\pi\)
0.973475 0.228794i \(-0.0734781\pi\)
\(674\) 15.8931 18.3416i 0.612179 0.706492i
\(675\) −10.6986 + 17.8208i −0.411788 + 0.685922i
\(676\) 10.2627 3.01340i 0.394719 0.115900i
\(677\) 20.1926 + 23.3035i 0.776066 + 0.895627i 0.996819 0.0797023i \(-0.0253970\pi\)
−0.220753 + 0.975330i \(0.570852\pi\)
\(678\) 7.72670 + 16.4734i 0.296742 + 0.632657i
\(679\) 2.44467 1.57109i 0.0938179 0.0602931i
\(680\) −0.587436 + 0.509016i −0.0225271 + 0.0195199i
\(681\) 1.91791 0.295705i 0.0734946 0.0113314i
\(682\) −16.0504 2.30770i −0.614602 0.0883665i
\(683\) −22.6385 19.6164i −0.866240 0.750601i 0.103529 0.994626i \(-0.466986\pi\)
−0.969769 + 0.244026i \(0.921532\pi\)
\(684\) 18.3591 + 15.2653i 0.701980 + 0.583685i
\(685\) 8.15169 + 2.39355i 0.311460 + 0.0914529i
\(686\) 0.415415 + 0.909632i 0.0158606 + 0.0347299i
\(687\) −9.38408 + 0.0954964i −0.358025 + 0.00364341i
\(688\) 3.36930 5.24273i 0.128453 0.199877i
\(689\) −30.4625 −1.16053
\(690\) 8.18325 + 1.42190i 0.311531 + 0.0541307i
\(691\) −36.1964 −1.37698 −0.688488 0.725248i \(-0.741725\pi\)
−0.688488 + 0.725248i \(0.741725\pi\)
\(692\) −7.23421 + 11.2567i −0.275003 + 0.427914i
\(693\) −12.8303 1.57894i −0.487383 0.0599790i
\(694\) −6.42447 14.0676i −0.243870 0.534000i
\(695\) −0.911644 0.267683i −0.0345806 0.0101538i
\(696\) 9.31651 14.8264i 0.353141 0.561991i
\(697\) −4.58959 3.97690i −0.173843 0.150636i
\(698\) −12.2656 1.76352i −0.464259 0.0667504i
\(699\) −4.24892 27.5582i −0.160709 1.04235i
\(700\) 3.02314 2.61956i 0.114264 0.0990102i
\(701\) 22.2483 14.2981i 0.840307 0.540033i −0.0482305 0.998836i \(-0.515358\pi\)
0.888538 + 0.458804i \(0.151722\pi\)
\(702\) −4.36225 24.9151i −0.164643 0.940360i
\(703\) 25.6902 + 29.6480i 0.968923 + 1.11820i
\(704\) −4.13449 + 1.21400i −0.155824 + 0.0457542i
\(705\) 4.85029 + 1.37072i 0.182672 + 0.0516242i
\(706\) −10.1132 + 11.6712i −0.380615 + 0.439253i
\(707\) 4.65842 10.2005i 0.175198 0.383630i
\(708\) −3.00300 + 6.75677i −0.112860 + 0.253935i
\(709\) −8.86591 + 4.04893i −0.332966 + 0.152061i −0.574881 0.818237i \(-0.694952\pi\)
0.241915 + 0.970297i \(0.422225\pi\)
\(710\) 1.48118 + 10.3018i 0.0555878 + 0.386622i
\(711\) −4.34197 + 3.91986i −0.162837 + 0.147006i
\(712\) 13.4618i 0.504502i
\(713\) 9.15128 + 15.5551i 0.342718 + 0.582543i
\(714\) −1.33460 0.178045i −0.0499463 0.00666317i
\(715\) 17.6443 + 11.3393i 0.659859 + 0.424066i
\(716\) 6.08973 0.875571i 0.227584 0.0327216i
\(717\) −27.4656 + 8.36913i −1.02572 + 0.312551i
\(718\) −7.16063 + 24.3869i −0.267232 + 0.910110i
\(719\) −6.39185 2.91906i −0.238376 0.108863i 0.292646 0.956221i \(-0.405464\pi\)
−0.531021 + 0.847358i \(0.678192\pi\)
\(720\) 2.49000 1.67279i 0.0927969 0.0623413i
\(721\) 0.325319 2.26264i 0.0121155 0.0842652i
\(722\) 12.4929 + 42.5470i 0.464939 + 1.58344i
\(723\) −40.3995 + 26.5479i −1.50247 + 0.987327i
\(724\) 14.0367 + 21.8416i 0.521671 + 0.811737i
\(725\) 21.8639 + 34.0208i 0.812004 + 1.26350i
\(726\) −10.9543 + 7.19845i −0.406552 + 0.267160i
\(727\) 1.58018 + 5.38160i 0.0586056 + 0.199593i 0.983592 0.180408i \(-0.0577419\pi\)
−0.924986 + 0.380001i \(0.875924\pi\)
\(728\) −0.692767 + 4.81830i −0.0256757 + 0.178578i
\(729\) −26.9497 + 1.64750i −0.998137 + 0.0610185i
\(730\) 5.96986 + 2.72634i 0.220954 + 0.100906i
\(731\) 1.36487 4.64831i 0.0504814 0.171924i
\(732\) −13.7480 + 4.18921i −0.508142 + 0.154838i
\(733\) 7.49426 1.07751i 0.276807 0.0397988i −0.00251330 0.999997i \(-0.500800\pi\)
0.279320 + 0.960198i \(0.409891\pi\)
\(734\) −2.14846 1.38073i −0.0793012 0.0509638i
\(735\) −1.71668 0.229017i −0.0633208 0.00844742i
\(736\) 3.92920 + 2.74979i 0.144832 + 0.101359i
\(737\) 34.6054i 1.27471i
\(738\) 15.7050 + 17.3962i 0.578109 + 0.640363i
\(739\) 1.26213 + 8.77834i 0.0464284 + 0.322916i 0.999778 + 0.0210494i \(0.00670073\pi\)
−0.953350 + 0.301867i \(0.902390\pi\)
\(740\) 4.48326 2.04743i 0.164808 0.0752652i
\(741\) 27.2534 61.3204i 1.00118 2.25266i
\(742\) 2.59963 5.69239i 0.0954353 0.208974i
\(743\) 5.04208 5.81888i 0.184976 0.213474i −0.655686 0.755034i \(-0.727621\pi\)
0.840662 + 0.541560i \(0.182166\pi\)
\(744\) 6.27228 + 1.77258i 0.229953 + 0.0649859i
\(745\) −18.7940 + 5.51841i −0.688558 + 0.202179i
\(746\) 2.72289 + 3.14238i 0.0996921 + 0.115051i
\(747\) −6.05697 + 1.91321i −0.221613 + 0.0700007i
\(748\) −2.81793 + 1.81097i −0.103034 + 0.0662157i
\(749\) −1.28571 + 1.11407i −0.0469788 + 0.0407073i
\(750\) 2.37520 + 15.4053i 0.0867299 + 0.562523i
\(751\) 39.4026 + 5.66525i 1.43782 + 0.206728i 0.816735 0.577013i \(-0.195782\pi\)
0.621088 + 0.783741i \(0.286691\pi\)
\(752\) 2.19943 + 1.90581i 0.0802048 + 0.0694979i
\(753\) −18.5350 + 29.4967i −0.675452 + 1.07492i
\(754\) −47.2190 13.8648i −1.71962 0.504925i
\(755\) −3.31230 7.25293i −0.120547 0.263961i
\(756\) 5.02803 + 1.31106i 0.182868 + 0.0476829i
\(757\) −27.4206 + 42.6673i −0.996619 + 1.55077i −0.171989 + 0.985099i \(0.555019\pi\)
−0.824631 + 0.565671i \(0.808617\pi\)
\(758\) 20.3575 0.739417
\(759\) 34.0342 + 11.0840i 1.23536 + 0.402322i
\(760\) 7.95812 0.288671
\(761\) 21.3137 33.1648i 0.772622 1.20222i −0.202223 0.979339i \(-0.564817\pi\)
0.974845 0.222884i \(-0.0715470\pi\)
\(762\) 38.2970 0.389726i 1.38735 0.0141183i
\(763\) −5.87706 12.8690i −0.212764 0.465888i
\(764\) −17.2143 5.05457i −0.622790 0.182868i
\(765\) 1.49087 1.79302i 0.0539025 0.0648268i
\(766\) 2.39331 + 2.07382i 0.0864739 + 0.0749300i
\(767\) 20.5691 + 2.95739i 0.742707 + 0.106785i
\(768\) 1.71182 0.263930i 0.0617701 0.00952374i
\(769\) 40.4916 35.0862i 1.46016 1.26524i 0.560865 0.827907i \(-0.310469\pi\)
0.899300 0.437333i \(-0.144077\pi\)
\(770\) −3.62466 + 2.32943i −0.130624 + 0.0839467i
\(771\) −14.4627 30.8346i −0.520860 1.11048i
\(772\) 0.833439 + 0.961840i 0.0299961 + 0.0346174i
\(773\) 7.21020 2.11711i 0.259333 0.0761471i −0.149482 0.988765i \(-0.547760\pi\)
0.408815 + 0.912617i \(0.365942\pi\)
\(774\) −7.41895 + 17.1611i −0.266669 + 0.616845i
\(775\) −9.85776 + 11.3765i −0.354101 + 0.408655i
\(776\) −1.20719 + 2.64338i −0.0433356 + 0.0948917i
\(777\) 7.80163 + 3.46738i 0.279882 + 0.124391i
\(778\) −20.8104 + 9.50377i −0.746088 + 0.340727i
\(779\) 8.84858 + 61.5432i 0.317033 + 2.20502i
\(780\) −6.42727 5.45574i −0.230133 0.195347i
\(781\) 44.8516i 1.60492i
\(782\) 3.53291 + 1.19047i 0.126337 + 0.0425710i
\(783\) −20.3537 + 48.4282i −0.727381 + 1.73068i
\(784\) −0.841254 0.540641i −0.0300448 0.0193086i
\(785\) −11.9892 + 1.72379i −0.427913 + 0.0615246i
\(786\) 1.29930 + 4.26400i 0.0463445 + 0.152092i
\(787\) −9.79753 + 33.3673i −0.349244 + 1.18942i 0.578338 + 0.815797i \(0.303702\pi\)
−0.927582 + 0.373619i \(0.878117\pi\)
\(788\) −7.68226 3.50837i −0.273669 0.124981i
\(789\) 26.8724 23.7681i 0.956682 0.846167i
\(790\) −0.277470 + 1.92985i −0.00987195 + 0.0686609i
\(791\) 2.95964 + 10.0796i 0.105233 + 0.358390i
\(792\) 11.6472 5.60831i 0.413865 0.199282i
\(793\) 21.8377 + 33.9801i 0.775478 + 1.20667i
\(794\) 11.3166 + 17.6089i 0.401610 + 0.624917i
\(795\) 5.95195 + 9.05742i 0.211094 + 0.321234i
\(796\) 1.84296 + 6.27654i 0.0653219 + 0.222466i
\(797\) 5.97859 41.5820i 0.211772 1.47291i −0.555461 0.831542i \(-0.687458\pi\)
0.767234 0.641367i \(-0.221633\pi\)
\(798\) 9.13289 + 10.3257i 0.323301 + 0.365526i
\(799\) 2.05788 + 0.939801i 0.0728025 + 0.0332478i
\(800\) −1.12698 + 3.83815i −0.0398448 + 0.135699i
\(801\) −6.55975 39.8490i −0.231777 1.40800i
\(802\) 21.2081 3.04927i 0.748885 0.107673i
\(803\) 23.7928 + 15.2907i 0.839628 + 0.539596i
\(804\) 1.83938 13.7877i 0.0648698 0.486256i
\(805\) 4.54433 + 1.53128i 0.160167 + 0.0539705i
\(806\) 18.3184i 0.645237i
\(807\) 36.2730 42.7323i 1.27687 1.50425i
\(808\) 1.59590 + 11.0998i 0.0561437 + 0.390488i
\(809\) −46.4601 + 21.2176i −1.63345 + 0.745972i −0.999622 0.0275007i \(-0.991245\pi\)
−0.633829 + 0.773473i \(0.718518\pi\)
\(810\) −6.55568 + 6.16508i −0.230343 + 0.216619i
\(811\) −6.42184 + 14.0619i −0.225501 + 0.493779i −0.988237 0.152931i \(-0.951129\pi\)
0.762735 + 0.646711i \(0.223856\pi\)
\(812\) 6.62045 7.64040i 0.232332 0.268126i
\(813\) 0.710400 2.51375i 0.0249148 0.0881611i
\(814\) 20.3793 5.98391i 0.714295 0.209736i
\(815\) 8.23870 + 9.50796i 0.288589 + 0.333049i
\(816\) 1.21900 0.571760i 0.0426735 0.0200156i
\(817\) −41.7261 + 26.8157i −1.45981 + 0.938164i
\(818\) −10.8423 + 9.39488i −0.379091 + 0.328484i
\(819\) −0.297193 14.6005i −0.0103848 0.510184i
\(820\) 7.73198 + 1.11169i 0.270012 + 0.0388219i
\(821\) −26.0253 22.5510i −0.908288 0.787036i 0.0692927 0.997596i \(-0.477926\pi\)
−0.977581 + 0.210560i \(0.932471\pi\)
\(822\) −12.4607 7.82998i −0.434616 0.273102i
\(823\) 1.13660 + 0.333737i 0.0396195 + 0.0116333i 0.301482 0.953472i \(-0.402519\pi\)
−0.261863 + 0.965105i \(0.584337\pi\)
\(824\) 0.949601 + 2.07934i 0.0330809 + 0.0724371i
\(825\) 0.303804 + 29.8537i 0.0105771 + 1.03937i
\(826\) −2.30797 + 3.59127i −0.0803046 + 0.124956i
\(827\) 15.7040 0.546080 0.273040 0.962003i \(-0.411971\pi\)
0.273040 + 0.962003i \(0.411971\pi\)
\(828\) −12.9710 6.22517i −0.450774 0.216340i
\(829\) −23.9717 −0.832572 −0.416286 0.909234i \(-0.636668\pi\)
−0.416286 + 0.909234i \(0.636668\pi\)
\(830\) −1.14460 + 1.78104i −0.0397297 + 0.0618207i
\(831\) 0.211240 + 20.7578i 0.00732785 + 0.720081i
\(832\) −2.02218 4.42795i −0.0701064 0.153512i
\(833\) −0.745872 0.219008i −0.0258429 0.00758817i
\(834\) 1.39354 + 0.875666i 0.0482543 + 0.0303218i
\(835\) −13.8063 11.9632i −0.477786 0.414004i
\(836\) 33.9459 + 4.88068i 1.17404 + 0.168802i
\(837\) −19.4307 2.19073i −0.671623 0.0757225i
\(838\) −13.4636 + 11.6663i −0.465092 + 0.403005i
\(839\) 25.3287 16.2778i 0.874443 0.561971i −0.0246654 0.999696i \(-0.507852\pi\)
0.899109 + 0.437725i \(0.144216\pi\)
\(840\) 1.56798 0.735448i 0.0541005 0.0253754i
\(841\) 47.9397 + 55.3254i 1.65309 + 1.90777i
\(842\) 13.0181 3.82246i 0.448634 0.131731i
\(843\) 14.3092 50.6330i 0.492834 1.74389i
\(844\) 12.9401 14.9337i 0.445416 0.514038i
\(845\) −4.44286 + 9.72850i −0.152839 + 0.334671i
\(846\) −7.43933 4.56976i −0.255769 0.157112i
\(847\) −6.88391 + 3.14377i −0.236534 + 0.108021i
\(848\) 0.890592 + 6.19421i 0.0305831 + 0.212710i
\(849\) −2.18419 + 2.57314i −0.0749613 + 0.0883099i
\(850\) 3.10958i 0.106658i
\(851\) −19.3674 13.5540i −0.663907 0.464625i
\(852\) 2.38400 17.8701i 0.0816744 0.612221i
\(853\) −17.8854 11.4942i −0.612384 0.393555i 0.197366 0.980330i \(-0.436761\pi\)
−0.809750 + 0.586774i \(0.800398\pi\)
\(854\) −8.21329 + 1.18089i −0.281053 + 0.0404093i
\(855\) −23.5573 + 3.87789i −0.805643 + 0.132621i
\(856\) 0.479294 1.63232i 0.0163819 0.0557917i
\(857\) −48.2126 22.0179i −1.64691 0.752118i −0.646964 0.762521i \(-0.723962\pi\)
−0.999946 + 0.0104023i \(0.996689\pi\)
\(858\) −24.0699 27.2137i −0.821734 0.929059i
\(859\) 1.04123 7.24193i 0.0355264 0.247092i −0.964318 0.264748i \(-0.914711\pi\)
0.999844 + 0.0176561i \(0.00562042\pi\)
\(860\) 1.75561 + 5.97906i 0.0598658 + 0.203884i
\(861\) 7.43093 + 11.3081i 0.253246 + 0.385378i
\(862\) −4.05237 6.30561i −0.138024 0.214770i
\(863\) 12.2127 + 19.0033i 0.415725 + 0.646881i 0.984454 0.175644i \(-0.0562008\pi\)
−0.568728 + 0.822525i \(0.692564\pi\)
\(864\) −4.93866 + 1.61542i −0.168017 + 0.0549578i
\(865\) −3.76946 12.8376i −0.128166 0.436492i
\(866\) 0.919833 6.39758i 0.0312572 0.217398i
\(867\) −21.2716 + 18.8143i −0.722421 + 0.638967i
\(868\) 3.42307 + 1.56326i 0.116186 + 0.0530606i
\(869\) −2.36714 + 8.06173i −0.0802996 + 0.273475i
\(870\) 5.10353 + 16.7486i 0.173026 + 0.567831i
\(871\) −38.6952 + 5.56353i −1.31114 + 0.188513i
\(872\) 11.9016 + 7.64869i 0.403039 + 0.259017i
\(873\) 2.28539 8.41307i 0.0773489 0.284739i
\(874\) −19.3545 32.8983i −0.654677 1.11280i
\(875\) 8.99936i 0.304234i
\(876\) −8.66696 7.35689i −0.292829 0.248566i
\(877\) −1.70757 11.8764i −0.0576606 0.401038i −0.998128 0.0611552i \(-0.980522\pi\)
0.940468 0.339883i \(-0.110388\pi\)
\(878\) −9.04428 + 4.13038i −0.305230 + 0.139394i
\(879\) −6.16996 2.74220i −0.208108 0.0924920i
\(880\) 1.78987 3.91928i 0.0603366 0.132119i
\(881\) −18.0226 + 20.7992i −0.607198 + 0.700744i −0.973224 0.229861i \(-0.926173\pi\)
0.366025 + 0.930605i \(0.380718\pi\)
\(882\) 2.75369 + 1.19045i 0.0927217 + 0.0400846i
\(883\) 12.2256 3.58975i 0.411423 0.120805i −0.0694700 0.997584i \(-0.522131\pi\)
0.480893 + 0.876779i \(0.340313\pi\)
\(884\) −2.47804 2.85981i −0.0833456 0.0961859i
\(885\) −3.13959 6.69364i −0.105536 0.225004i
\(886\) −8.95035 + 5.75204i −0.300693 + 0.193243i
\(887\) −11.1308 + 9.64492i −0.373737 + 0.323845i −0.821395 0.570360i \(-0.806804\pi\)
0.447658 + 0.894205i \(0.352258\pi\)
\(888\) −8.43775 + 1.30094i −0.283152 + 0.0436565i
\(889\) 21.8869 + 3.14686i 0.734062 + 0.105542i
\(890\) −10.1728 8.81478i −0.340993 0.295472i
\(891\) −31.7447 + 22.2770i −1.06349 + 0.746308i
\(892\) −5.73899 1.68512i −0.192156 0.0564220i
\(893\) −9.62196 21.0692i −0.321987 0.705053i
\(894\) 33.9277 0.345263i 1.13471 0.0115473i
\(895\) −3.32591 + 5.17521i −0.111173 + 0.172988i
\(896\) 1.00000 0.0334077
\(897\) −6.92222 + 39.8385i −0.231126 + 1.33017i
\(898\) −1.04199 −0.0347717
\(899\) −20.5682 + 32.0048i −0.685988 + 1.06742i
\(900\) 1.46577 11.9107i 0.0488589 0.397023i
\(901\) 2.02085 + 4.42504i 0.0673242 + 0.147419i
\(902\) 32.2995 + 9.48398i 1.07545 + 0.315782i
\(903\) −5.74309 + 9.13959i −0.191118 + 0.304147i
\(904\) −7.93926 6.87941i −0.264056 0.228806i
\(905\) −25.6965 3.69460i −0.854182 0.122813i
\(906\) 2.10463 + 13.6504i 0.0699216 + 0.453505i
\(907\) −15.5420 + 13.4672i −0.516063 + 0.447171i −0.873541 0.486750i \(-0.838182\pi\)
0.357478 + 0.933922i \(0.383637\pi\)
\(908\) −0.942534 + 0.605730i −0.0312791 + 0.0201018i
\(909\) −10.1329 32.0794i −0.336087 1.06401i
\(910\) −3.18747 3.67854i −0.105664 0.121942i
\(911\) 6.66479 1.95696i 0.220814 0.0648370i −0.169454 0.985538i \(-0.554200\pi\)
0.390268 + 0.920701i \(0.372382\pi\)
\(912\) −13.2656 3.74892i −0.439267 0.124139i
\(913\) −5.97468 + 6.89515i −0.197733 + 0.228196i
\(914\) 10.2894 22.5306i 0.340343 0.745247i
\(915\) 5.83652 13.1322i 0.192949 0.434138i
\(916\) 4.92855 2.25079i 0.162844 0.0743683i
\(917\) 0.366258 + 2.54738i 0.0120949 + 0.0841220i
\(918\) −3.32982 + 2.28650i −0.109900 + 0.0754659i
\(919\) 5.78006i 0.190667i 0.995445 + 0.0953333i \(0.0303917\pi\)
−0.995445 + 0.0953333i \(0.969608\pi\)
\(920\) −4.65081 + 1.16866i −0.153333 + 0.0385295i
\(921\) −46.4407 6.19550i −1.53027 0.204149i
\(922\) −30.5759 19.6500i −1.00696 0.647137i
\(923\) −50.1525 + 7.21083i −1.65079 + 0.237348i
\(924\) 7.13938 2.17546i 0.234868 0.0715675i
\(925\) 5.55501 18.9186i 0.182647 0.622040i
\(926\) 24.0965 + 11.0045i 0.791860 + 0.361630i
\(927\) −3.82421 5.69244i −0.125603 0.186964i
\(928\) −1.43876 + 10.0068i −0.0472296 + 0.328489i
\(929\) 3.25360 + 11.0808i 0.106747 + 0.363548i 0.995491 0.0948566i \(-0.0302393\pi\)
−0.888744 + 0.458405i \(0.848421\pi\)
\(930\) −5.44659 + 3.57915i −0.178601 + 0.117365i
\(931\) 4.30288 + 6.69541i 0.141021 + 0.219433i
\(932\) 8.70362 + 13.5431i 0.285097 + 0.443619i
\(933\) 44.8251 29.4561i 1.46751 0.964350i
\(934\) 0.710723 + 2.42050i 0.0232556 + 0.0792012i
\(935\) 0.476665 3.31528i 0.0155886 0.108421i
\(936\) 8.14366 + 12.1221i 0.266184 + 0.396222i
\(937\) −24.4086 11.1470i −0.797395 0.364158i −0.0253116 0.999680i \(-0.508058\pi\)
−0.772083 + 0.635522i \(0.780785\pi\)
\(938\) 2.26256 7.70558i 0.0738753 0.251596i
\(939\) 32.8274 10.0030i 1.07128 0.326434i
\(940\) −2.88037 + 0.414135i −0.0939473 + 0.0135076i
\(941\) −6.23663 4.00804i −0.203308 0.130658i 0.435025 0.900418i \(-0.356740\pi\)
−0.638333 + 0.769760i \(0.720376\pi\)
\(942\) 20.7971 + 2.77448i 0.677607 + 0.0903973i
\(943\) −14.2089 34.6671i −0.462705 1.12892i
\(944\) 4.26895i 0.138943i
\(945\) −4.28310 + 2.94110i −0.139329 + 0.0956740i
\(946\) 3.82174 + 26.5808i 0.124255 + 0.864216i
\(947\) −5.01017 + 2.28807i −0.162809 + 0.0743523i −0.495153 0.868806i \(-0.664888\pi\)
0.332344 + 0.943158i \(0.392161\pi\)
\(948\) 1.37164 3.08620i 0.0445487 0.100235i
\(949\) −13.2726 + 29.0630i −0.430848 + 0.943426i
\(950\) 20.8487 24.0607i 0.676421 0.780632i
\(951\) −14.9251 4.21792i −0.483980 0.136776i
\(952\) 0.745872 0.219008i 0.0241738 0.00709808i
\(953\) −10.2130 11.7865i −0.330833 0.381802i 0.565825 0.824525i \(-0.308558\pi\)
−0.896658 + 0.442724i \(0.854012\pi\)
\(954\) −5.65465 17.9019i −0.183076 0.579594i
\(955\) 15.0916 9.69875i 0.488351 0.313844i
\(956\) 12.5281 10.8557i 0.405189 0.351098i
\(957\) 11.4976 + 74.5723i 0.371664 + 2.41058i
\(958\) 23.1184 + 3.32392i 0.746921 + 0.107391i
\(959\) −6.42131 5.56410i −0.207355 0.179674i
\(960\) −0.921457 + 1.46641i −0.0297399 + 0.0473283i
\(961\) 16.1567 + 4.74405i 0.521185 + 0.153034i
\(962\) 9.96752 + 21.8258i 0.321366 + 0.703693i
\(963\) −0.623376 + 5.06549i −0.0200880 + 0.163233i
\(964\) 15.0893 23.4794i 0.485993 0.756221i
\(965\) −1.27258 −0.0409658
\(966\) −6.85370 4.69328i −0.220514 0.151004i
\(967\) 46.1400 1.48376 0.741881 0.670532i \(-0.233934\pi\)
0.741881 + 0.670532i \(0.233934\pi\)
\(968\) 4.09146 6.36643i 0.131504 0.204625i
\(969\) −10.7155 + 0.109045i −0.344230 + 0.00350303i
\(970\) −1.20708 2.64314i −0.0387570 0.0848660i
\(971\) 50.5655 + 14.8474i 1.62272 + 0.476474i 0.961749 0.273934i \(-0.0883249\pi\)
0.660975 + 0.750408i \(0.270143\pi\)
\(972\) 13.8321 7.18846i 0.443664 0.230570i
\(973\) 0.718127 + 0.622261i 0.0230221 + 0.0199488i
\(974\) −21.0841 3.03144i −0.675580 0.0971337i
\(975\) −33.3331 + 5.13931i −1.06751 + 0.164590i
\(976\) 6.27102 5.43387i 0.200730 0.173934i
\(977\) −16.8893 + 10.8541i −0.540335 + 0.347252i −0.782170 0.623065i \(-0.785887\pi\)
0.241835 + 0.970317i \(0.422251\pi\)
\(978\) −9.25424 19.7301i −0.295918 0.630900i
\(979\) −37.9867 43.8390i −1.21406 1.40110i
\(980\) 0.959405 0.281707i 0.0306471 0.00899879i
\(981\) −38.9577 16.8419i −1.24382 0.537719i
\(982\) −20.7061 + 23.8962i −0.660760 + 0.762557i
\(983\) 8.33807 18.2578i 0.265943 0.582334i −0.728801 0.684726i \(-0.759922\pi\)
0.994744 + 0.102391i \(0.0326493\pi\)
\(984\) −12.3649 5.49549i −0.394179 0.175190i
\(985\) 7.68156 3.50805i 0.244755 0.111776i
\(986\) 1.11844 + 7.77889i 0.0356182 + 0.247730i
\(987\) −3.84291 3.26203i −0.122321 0.103832i
\(988\) 38.7425i 1.23256i
\(989\) 20.4473 21.7989i 0.650185 0.693165i
\(990\) −3.38850 + 12.4739i −0.107694 + 0.396446i
\(991\) 26.1360 + 16.7966i 0.830237 + 0.533561i 0.885353 0.464919i \(-0.153916\pi\)
−0.0551159 + 0.998480i \(0.517553\pi\)
\(992\) −3.72483 + 0.535549i −0.118263 + 0.0170037i
\(993\) 15.5548 + 51.0473i 0.493617 + 1.61994i
\(994\) 2.93248 9.98711i 0.0930126 0.316772i
\(995\) −5.94983 2.71720i −0.188622 0.0861409i
\(996\) 2.74698 2.42965i 0.0870413 0.0769864i
\(997\) 1.68338 11.7082i 0.0533133 0.370802i −0.945646 0.325197i \(-0.894569\pi\)
0.998960 0.0456050i \(-0.0145216\pi\)
\(998\) −1.13394 3.86184i −0.0358942 0.122244i
\(999\) 24.3432 7.96258i 0.770184 0.251925i
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 966.2.r.a.113.6 240
3.2 odd 2 966.2.r.b.113.20 yes 240
23.11 odd 22 966.2.r.b.701.20 yes 240
69.11 even 22 inner 966.2.r.a.701.6 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.r.a.113.6 240 1.1 even 1 trivial
966.2.r.a.701.6 yes 240 69.11 even 22 inner
966.2.r.b.113.20 yes 240 3.2 odd 2
966.2.r.b.701.20 yes 240 23.11 odd 22