Properties

Label 570.2.bi.a.17.8
Level $570$
Weight $2$
Character 570.17
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [570,2,Mod(17,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([18, 9, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.17");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 17.8
Character \(\chi\) \(=\) 570.17
Dual form 570.2.bi.a.503.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.573576 - 0.819152i) q^{2} +(-0.749446 + 1.56152i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(-0.948601 + 2.02488i) q^{5} +(1.70898 - 0.281738i) q^{6} +(-1.34429 + 5.01697i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-1.87666 - 2.34054i) q^{9} +O(q^{10})\) \(q+(-0.573576 - 0.819152i) q^{2} +(-0.749446 + 1.56152i) q^{3} +(-0.342020 + 0.939693i) q^{4} +(-0.948601 + 2.02488i) q^{5} +(1.70898 - 0.281738i) q^{6} +(-1.34429 + 5.01697i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-1.87666 - 2.34054i) q^{9} +(2.20278 - 0.384377i) q^{10} +(-1.73942 - 1.00426i) q^{11} +(-1.21102 - 1.23832i) q^{12} +(-0.0896181 + 1.02434i) q^{13} +(4.88071 - 1.77643i) q^{14} +(-2.45096 - 2.99880i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(0.272031 + 0.388500i) q^{17} +(-0.840853 + 2.87975i) q^{18} +(4.32037 - 0.578248i) q^{19} +(-1.57833 - 1.58394i) q^{20} +(-6.82660 - 5.85908i) q^{21} +(0.175053 + 2.00087i) q^{22} +(-2.41759 - 5.18453i) q^{23} +(-0.319760 + 1.70228i) q^{24} +(-3.20031 - 3.84161i) q^{25} +(0.890492 - 0.514126i) q^{26} +(5.06125 - 1.17632i) q^{27} +(-4.25463 - 2.97912i) q^{28} +(-1.24611 - 7.06702i) q^{29} +(-1.05066 + 3.72775i) q^{30} +(2.75367 + 4.76949i) q^{31} +(-0.0871557 + 0.996195i) q^{32} +(2.87177 - 1.96350i) q^{33} +(0.162210 - 0.445669i) q^{34} +(-8.88358 - 7.48113i) q^{35} +(2.84125 - 0.962971i) q^{36} +(2.06560 + 2.06560i) q^{37} +(-2.95174 - 3.20737i) q^{38} +(-1.53236 - 0.907627i) q^{39} +(-0.392200 + 2.20140i) q^{40} +(-4.35503 + 5.19012i) q^{41} +(-0.883902 + 8.95265i) q^{42} +(-1.90026 + 4.07512i) q^{43} +(1.53861 - 1.29105i) q^{44} +(6.51953 - 1.57978i) q^{45} +(-2.86025 + 4.95409i) q^{46} +(6.55070 + 4.58685i) q^{47} +(1.57783 - 0.714455i) q^{48} +(-17.3007 - 9.98854i) q^{49} +(-1.31124 + 4.82500i) q^{50} +(-0.810521 + 0.133620i) q^{51} +(-0.931913 - 0.434558i) q^{52} +(-1.25754 - 2.69681i) q^{53} +(-3.86660 - 3.47122i) q^{54} +(3.68352 - 2.56949i) q^{55} +5.19395i q^{56} +(-2.33494 + 7.17970i) q^{57} +(-5.07423 + 5.07423i) q^{58} +(-1.86476 + 10.5756i) q^{59} +(3.65623 - 1.27750i) q^{60} +(-7.08291 - 2.57797i) q^{61} +(2.32750 - 4.99134i) q^{62} +(14.2652 - 6.26877i) q^{63} +(0.866025 - 0.500000i) q^{64} +(-1.98916 - 1.15316i) q^{65} +(-3.25558 - 1.22620i) q^{66} +(-7.80390 + 11.1451i) q^{67} +(-0.458111 + 0.122750i) q^{68} +(9.90757 + 0.110429i) q^{69} +(-1.03278 + 11.5680i) q^{70} +(-3.08482 - 8.47548i) q^{71} +(-2.41849 - 1.77508i) q^{72} +(3.10459 - 0.271616i) q^{73} +(0.507261 - 2.87682i) q^{74} +(8.39720 - 2.11825i) q^{75} +(-0.934280 + 4.25760i) q^{76} +(7.37662 - 7.37662i) q^{77} +(0.135440 + 1.77583i) q^{78} +(4.64590 - 5.53677i) q^{79} +(2.02824 - 0.941402i) q^{80} +(-1.95629 + 8.78481i) q^{81} +(6.74944 + 0.590500i) q^{82} +(-0.0864341 + 0.322576i) q^{83} +(7.84057 - 4.41098i) q^{84} +(-1.04472 + 0.182299i) q^{85} +(4.42809 - 0.780792i) q^{86} +(11.9692 + 3.35054i) q^{87} +(-1.94008 - 0.519842i) q^{88} +(-5.13331 + 4.30736i) q^{89} +(-5.03353 - 4.43436i) q^{90} +(-5.01860 - 1.82662i) q^{91} +(5.69873 - 0.498574i) q^{92} +(-9.51136 + 0.725417i) q^{93} -7.99693i q^{94} +(-2.92743 + 9.29678i) q^{95} +(-1.49025 - 0.882689i) q^{96} +(-4.12526 + 2.88854i) q^{97} +(1.74112 + 19.9011i) q^{98} +(0.913801 + 5.95585i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480 q+O(q^{10}) \) Copy content Toggle raw display \( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.573576 0.819152i −0.405580 0.579228i
\(3\) −0.749446 + 1.56152i −0.432693 + 0.901541i
\(4\) −0.342020 + 0.939693i −0.171010 + 0.469846i
\(5\) −0.948601 + 2.02488i −0.424227 + 0.905556i
\(6\) 1.70898 0.281738i 0.697689 0.115019i
\(7\) −1.34429 + 5.01697i −0.508095 + 1.89624i −0.0694238 + 0.997587i \(0.522116\pi\)
−0.438671 + 0.898648i \(0.644551\pi\)
\(8\) 0.965926 0.258819i 0.341506 0.0915064i
\(9\) −1.87666 2.34054i −0.625554 0.780181i
\(10\) 2.20278 0.384377i 0.696581 0.121551i
\(11\) −1.73942 1.00426i −0.524456 0.302795i 0.214300 0.976768i \(-0.431253\pi\)
−0.738756 + 0.673973i \(0.764586\pi\)
\(12\) −1.21102 1.23832i −0.349591 0.357472i
\(13\) −0.0896181 + 1.02434i −0.0248556 + 0.284101i 0.973587 + 0.228315i \(0.0733217\pi\)
−0.998443 + 0.0557851i \(0.982234\pi\)
\(14\) 4.88071 1.77643i 1.30443 0.474772i
\(15\) −2.45096 2.99880i −0.632836 0.774286i
\(16\) −0.766044 0.642788i −0.191511 0.160697i
\(17\) 0.272031 + 0.388500i 0.0659771 + 0.0942251i 0.850785 0.525514i \(-0.176127\pi\)
−0.784808 + 0.619740i \(0.787238\pi\)
\(18\) −0.840853 + 2.87975i −0.198191 + 0.678764i
\(19\) 4.32037 0.578248i 0.991162 0.132659i
\(20\) −1.57833 1.58394i −0.352925 0.354181i
\(21\) −6.82660 5.85908i −1.48969 1.27856i
\(22\) 0.175053 + 2.00087i 0.0373215 + 0.426587i
\(23\) −2.41759 5.18453i −0.504101 1.08105i −0.979531 0.201295i \(-0.935485\pi\)
0.475429 0.879754i \(-0.342293\pi\)
\(24\) −0.319760 + 1.70228i −0.0652706 + 0.347476i
\(25\) −3.20031 3.84161i −0.640062 0.768323i
\(26\) 0.890492 0.514126i 0.174640 0.100828i
\(27\) 5.06125 1.17632i 0.974038 0.226383i
\(28\) −4.25463 2.97912i −0.804050 0.563002i
\(29\) −1.24611 7.06702i −0.231396 1.31231i −0.850072 0.526666i \(-0.823442\pi\)
0.618676 0.785646i \(-0.287669\pi\)
\(30\) −1.05066 + 3.72775i −0.191823 + 0.680591i
\(31\) 2.75367 + 4.76949i 0.494573 + 0.856626i 0.999980 0.00625478i \(-0.00199097\pi\)
−0.505407 + 0.862881i \(0.668658\pi\)
\(32\) −0.0871557 + 0.996195i −0.0154071 + 0.176104i
\(33\) 2.87177 1.96350i 0.499910 0.341802i
\(34\) 0.162210 0.445669i 0.0278188 0.0764316i
\(35\) −8.88358 7.48113i −1.50160 1.26454i
\(36\) 2.84125 0.962971i 0.473541 0.160495i
\(37\) 2.06560 + 2.06560i 0.339583 + 0.339583i 0.856210 0.516627i \(-0.172813\pi\)
−0.516627 + 0.856210i \(0.672813\pi\)
\(38\) −2.95174 3.20737i −0.478835 0.520305i
\(39\) −1.53236 0.907627i −0.245374 0.145337i
\(40\) −0.392200 + 2.20140i −0.0620122 + 0.348073i
\(41\) −4.35503 + 5.19012i −0.680142 + 0.810561i −0.990126 0.140180i \(-0.955232\pi\)
0.309984 + 0.950742i \(0.399676\pi\)
\(42\) −0.883902 + 8.95265i −0.136389 + 1.38142i
\(43\) −1.90026 + 4.07512i −0.289787 + 0.621450i −0.996271 0.0862786i \(-0.972502\pi\)
0.706484 + 0.707729i \(0.250280\pi\)
\(44\) 1.53861 1.29105i 0.231954 0.194633i
\(45\) 6.51953 1.57978i 0.971874 0.235500i
\(46\) −2.86025 + 4.95409i −0.421720 + 0.730441i
\(47\) 6.55070 + 4.58685i 0.955518 + 0.669061i 0.943677 0.330869i \(-0.107342\pi\)
0.0118414 + 0.999930i \(0.496231\pi\)
\(48\) 1.57783 0.714455i 0.227740 0.103123i
\(49\) −17.3007 9.98854i −2.47152 1.42693i
\(50\) −1.31124 + 4.82500i −0.185438 + 0.682358i
\(51\) −0.810521 + 0.133620i −0.113496 + 0.0187106i
\(52\) −0.931913 0.434558i −0.129233 0.0602624i
\(53\) −1.25754 2.69681i −0.172737 0.370435i 0.800812 0.598916i \(-0.204402\pi\)
−0.973548 + 0.228481i \(0.926624\pi\)
\(54\) −3.86660 3.47122i −0.526178 0.472374i
\(55\) 3.68352 2.56949i 0.496686 0.346470i
\(56\) 5.19395i 0.694070i
\(57\) −2.33494 + 7.17970i −0.309271 + 0.950974i
\(58\) −5.07423 + 5.07423i −0.666279 + 0.666279i
\(59\) −1.86476 + 10.5756i −0.242771 + 1.37682i 0.582841 + 0.812586i \(0.301941\pi\)
−0.825612 + 0.564238i \(0.809170\pi\)
\(60\) 3.65623 1.27750i 0.472017 0.164925i
\(61\) −7.08291 2.57797i −0.906874 0.330075i −0.153870 0.988091i \(-0.549174\pi\)
−0.753004 + 0.658016i \(0.771396\pi\)
\(62\) 2.32750 4.99134i 0.295593 0.633901i
\(63\) 14.2652 6.26877i 1.79725 0.789791i
\(64\) 0.866025 0.500000i 0.108253 0.0625000i
\(65\) −1.98916 1.15316i −0.246724 0.143031i
\(66\) −3.25558 1.22620i −0.400735 0.150934i
\(67\) −7.80390 + 11.1451i −0.953398 + 1.36159i −0.0211488 + 0.999776i \(0.506732\pi\)
−0.932249 + 0.361817i \(0.882157\pi\)
\(68\) −0.458111 + 0.122750i −0.0555541 + 0.0148857i
\(69\) 9.90757 + 0.110429i 1.19273 + 0.0132940i
\(70\) −1.03278 + 11.5680i −0.123440 + 1.38264i
\(71\) −3.08482 8.47548i −0.366101 1.00585i −0.976830 0.214015i \(-0.931346\pi\)
0.610729 0.791839i \(-0.290876\pi\)
\(72\) −2.41849 1.77508i −0.285022 0.209195i
\(73\) 3.10459 0.271616i 0.363364 0.0317903i 0.0959881 0.995382i \(-0.469399\pi\)
0.267376 + 0.963592i \(0.413843\pi\)
\(74\) 0.507261 2.87682i 0.0589679 0.334424i
\(75\) 8.39720 2.11825i 0.969625 0.244595i
\(76\) −0.934280 + 4.25760i −0.107169 + 0.488380i
\(77\) 7.37662 7.37662i 0.840643 0.840643i
\(78\) 0.135440 + 1.77583i 0.0153355 + 0.201073i
\(79\) 4.64590 5.53677i 0.522704 0.622935i −0.438514 0.898725i \(-0.644495\pi\)
0.961218 + 0.275790i \(0.0889394\pi\)
\(80\) 2.02824 0.941402i 0.226764 0.105252i
\(81\) −1.95629 + 8.78481i −0.217365 + 0.976090i
\(82\) 6.74944 + 0.590500i 0.745351 + 0.0652098i
\(83\) −0.0864341 + 0.322576i −0.00948738 + 0.0354074i −0.970507 0.241072i \(-0.922501\pi\)
0.961020 + 0.276479i \(0.0891677\pi\)
\(84\) 7.84057 4.41098i 0.855476 0.481277i
\(85\) −1.04472 + 0.182299i −0.113315 + 0.0197731i
\(86\) 4.42809 0.780792i 0.477493 0.0841949i
\(87\) 11.9692 + 3.35054i 1.28323 + 0.359215i
\(88\) −1.94008 0.519842i −0.206813 0.0554153i
\(89\) −5.13331 + 4.30736i −0.544130 + 0.456579i −0.872948 0.487814i \(-0.837794\pi\)
0.328817 + 0.944394i \(0.393350\pi\)
\(90\) −5.03353 4.43436i −0.530581 0.467423i
\(91\) −5.01860 1.82662i −0.526092 0.191482i
\(92\) 5.69873 0.498574i 0.594133 0.0519799i
\(93\) −9.51136 + 0.725417i −0.986282 + 0.0752222i
\(94\) 7.99693i 0.824820i
\(95\) −2.92743 + 9.29678i −0.300348 + 0.953830i
\(96\) −1.49025 0.882689i −0.152098 0.0900891i
\(97\) −4.12526 + 2.88854i −0.418857 + 0.293287i −0.763942 0.645285i \(-0.776739\pi\)
0.345086 + 0.938571i \(0.387850\pi\)
\(98\) 1.74112 + 19.9011i 0.175879 + 2.01031i
\(99\) 0.913801 + 5.95585i 0.0918405 + 0.598585i
\(100\) 4.70451 1.69340i 0.470451 0.169340i
\(101\) 3.02992 + 3.61092i 0.301488 + 0.359300i 0.895425 0.445212i \(-0.146872\pi\)
−0.593937 + 0.804512i \(0.702427\pi\)
\(102\) 0.574351 + 0.587299i 0.0568692 + 0.0581512i
\(103\) −1.89543 7.07384i −0.186762 0.697006i −0.994246 0.107117i \(-0.965838\pi\)
0.807484 0.589889i \(-0.200829\pi\)
\(104\) 0.178554 + 1.01263i 0.0175087 + 0.0992966i
\(105\) 18.3397 8.26514i 1.78977 0.806595i
\(106\) −1.48780 + 2.57694i −0.144508 + 0.250295i
\(107\) −7.52661 2.01675i −0.727625 0.194967i −0.124054 0.992275i \(-0.539590\pi\)
−0.603571 + 0.797309i \(0.706256\pi\)
\(108\) −0.625668 + 5.15835i −0.0602049 + 0.496362i
\(109\) −1.15879 3.18376i −0.110992 0.304949i 0.871744 0.489962i \(-0.162989\pi\)
−0.982736 + 0.185013i \(0.940767\pi\)
\(110\) −4.21759 1.54356i −0.402131 0.147173i
\(111\) −4.77353 + 1.67741i −0.453083 + 0.159213i
\(112\) 4.25463 2.97912i 0.402025 0.281501i
\(113\) 6.94000 + 6.94000i 0.652861 + 0.652861i 0.953681 0.300820i \(-0.0972604\pi\)
−0.300820 + 0.953681i \(0.597260\pi\)
\(114\) 7.22053 2.20543i 0.676265 0.206557i
\(115\) 12.7914 + 0.0227182i 1.19280 + 0.00211848i
\(116\) 7.06702 + 1.24611i 0.656156 + 0.115698i
\(117\) 2.56569 1.71258i 0.237198 0.158328i
\(118\) 9.73260 4.53839i 0.895958 0.417792i
\(119\) −2.31478 + 0.842511i −0.212196 + 0.0772329i
\(120\) −3.14359 2.26226i −0.286970 0.206515i
\(121\) −3.48294 6.03262i −0.316631 0.548420i
\(122\) 1.95084 + 7.28065i 0.176621 + 0.659159i
\(123\) −4.84060 10.6902i −0.436462 0.963900i
\(124\) −5.42367 + 0.956339i −0.487060 + 0.0858818i
\(125\) 10.8146 2.83610i 0.967291 0.253669i
\(126\) −13.3173 8.08976i −1.18640 0.720693i
\(127\) 13.6823 + 1.19705i 1.21411 + 0.106221i 0.676158 0.736757i \(-0.263644\pi\)
0.537949 + 0.842977i \(0.319199\pi\)
\(128\) −0.906308 0.422618i −0.0801070 0.0373545i
\(129\) −4.93922 6.02137i −0.434874 0.530152i
\(130\) 0.196324 + 2.29084i 0.0172187 + 0.200920i
\(131\) −7.66555 1.35164i −0.669743 0.118094i −0.171570 0.985172i \(-0.554884\pi\)
−0.498172 + 0.867078i \(0.665995\pi\)
\(132\) 0.862885 + 3.37013i 0.0751045 + 0.293333i
\(133\) −2.90679 + 22.4525i −0.252051 + 1.94688i
\(134\) 13.6057 1.17535
\(135\) −2.41919 + 11.3643i −0.208211 + 0.978084i
\(136\) 0.363313 + 0.304856i 0.0311538 + 0.0261411i
\(137\) −6.62496 + 3.08927i −0.566009 + 0.263934i −0.684490 0.729022i \(-0.739975\pi\)
0.118481 + 0.992956i \(0.462197\pi\)
\(138\) −5.59229 8.17915i −0.476048 0.696255i
\(139\) 7.24953 + 8.63965i 0.614897 + 0.732806i 0.980184 0.198089i \(-0.0634736\pi\)
−0.365287 + 0.930895i \(0.619029\pi\)
\(140\) 10.0683 5.78914i 0.850929 0.489271i
\(141\) −12.0718 + 6.79142i −1.01663 + 0.571941i
\(142\) −5.17333 + 7.38827i −0.434136 + 0.620010i
\(143\) 1.18458 1.69176i 0.0990598 0.141472i
\(144\) −0.0668670 + 2.99925i −0.00557225 + 0.249938i
\(145\) 15.4920 + 4.18056i 1.28654 + 0.347177i
\(146\) −2.00321 2.38734i −0.165787 0.197577i
\(147\) 28.5632 19.5294i 2.35585 1.61075i
\(148\) −2.64751 + 1.23455i −0.217624 + 0.101480i
\(149\) 2.77212 + 2.32609i 0.227101 + 0.190561i 0.749237 0.662302i \(-0.230420\pi\)
−0.522136 + 0.852862i \(0.674865\pi\)
\(150\) −6.55161 5.66360i −0.534937 0.462431i
\(151\) 2.56780 0.208964 0.104482 0.994527i \(-0.466681\pi\)
0.104482 + 0.994527i \(0.466681\pi\)
\(152\) 4.02350 1.67674i 0.326349 0.136002i
\(153\) 0.398792 1.36578i 0.0322404 0.110417i
\(154\) −10.2736 1.81152i −0.827872 0.145976i
\(155\) −12.2698 + 1.05151i −0.985534 + 0.0844596i
\(156\) 1.37699 1.12952i 0.110247 0.0904338i
\(157\) −17.0104 7.93209i −1.35758 0.633050i −0.398757 0.917056i \(-0.630558\pi\)
−0.958822 + 0.284007i \(0.908336\pi\)
\(158\) −7.20023 0.629939i −0.572820 0.0501152i
\(159\) 5.15357 + 0.0574411i 0.408704 + 0.00455537i
\(160\) −1.93450 1.12147i −0.152936 0.0886601i
\(161\) 29.2605 5.15942i 2.30605 0.406620i
\(162\) 8.31818 3.43626i 0.653538 0.269978i
\(163\) −2.31552 8.64162i −0.181365 0.676864i −0.995379 0.0960192i \(-0.969389\pi\)
0.814014 0.580845i \(-0.197278\pi\)
\(164\) −3.38761 5.86752i −0.264528 0.458176i
\(165\) 1.25170 + 7.67757i 0.0974447 + 0.597698i
\(166\) 0.313816 0.114220i 0.0243568 0.00886516i
\(167\) 16.9006 7.88090i 1.30781 0.609842i 0.361281 0.932457i \(-0.382340\pi\)
0.946530 + 0.322614i \(0.104562\pi\)
\(168\) −8.11043 3.89258i −0.625733 0.300319i
\(169\) 11.7613 + 2.07383i 0.904712 + 0.159525i
\(170\) 0.748555 + 0.751219i 0.0574116 + 0.0576159i
\(171\) −9.46129 9.02685i −0.723523 0.690300i
\(172\) −3.17944 3.17944i −0.242430 0.242430i
\(173\) −16.8665 + 11.8101i −1.28234 + 0.897904i −0.998146 0.0608634i \(-0.980615\pi\)
−0.284193 + 0.958767i \(0.591726\pi\)
\(174\) −4.12062 11.7263i −0.312384 0.888972i
\(175\) 23.5754 10.8916i 1.78213 0.823328i
\(176\) 0.686952 + 1.88739i 0.0517810 + 0.142267i
\(177\) −15.1164 10.8377i −1.13622 0.814611i
\(178\) 6.47273 + 1.73436i 0.485152 + 0.129996i
\(179\) −4.82440 + 8.35611i −0.360593 + 0.624565i −0.988059 0.154079i \(-0.950759\pi\)
0.627466 + 0.778644i \(0.284092\pi\)
\(180\) −0.745305 + 6.66667i −0.0555517 + 0.496904i
\(181\) −0.277264 1.57244i −0.0206088 0.116879i 0.972768 0.231781i \(-0.0744554\pi\)
−0.993377 + 0.114903i \(0.963344\pi\)
\(182\) 1.38227 + 5.15871i 0.102461 + 0.382389i
\(183\) 9.33380 9.12803i 0.689975 0.674763i
\(184\) −3.67706 4.38215i −0.271077 0.323057i
\(185\) −6.14204 + 2.22317i −0.451571 + 0.163451i
\(186\) 6.04972 + 7.37517i 0.443587 + 0.540774i
\(187\) −0.0830228 0.948955i −0.00607123 0.0693945i
\(188\) −6.55070 + 4.58685i −0.477759 + 0.334531i
\(189\) −0.902228 + 26.9734i −0.0656274 + 1.96203i
\(190\) 9.29458 2.93441i 0.674300 0.212884i
\(191\) 5.24426i 0.379462i −0.981836 0.189731i \(-0.939238\pi\)
0.981836 0.189731i \(-0.0607615\pi\)
\(192\) 0.131718 + 1.72704i 0.00950594 + 0.124638i
\(193\) −23.0226 + 2.01421i −1.65720 + 0.144986i −0.876983 0.480522i \(-0.840447\pi\)
−0.780217 + 0.625508i \(0.784892\pi\)
\(194\) 4.73230 + 1.72242i 0.339760 + 0.123662i
\(195\) 3.29144 2.24187i 0.235705 0.160544i
\(196\) 15.3033 12.8410i 1.09309 0.917215i
\(197\) −8.78705 2.35448i −0.626052 0.167750i −0.0681742 0.997673i \(-0.521717\pi\)
−0.557877 + 0.829923i \(0.688384\pi\)
\(198\) 4.35461 4.16468i 0.309469 0.295971i
\(199\) 20.4573 3.60717i 1.45018 0.255705i 0.607584 0.794255i \(-0.292139\pi\)
0.842594 + 0.538550i \(0.181028\pi\)
\(200\) −4.08555 2.88241i −0.288892 0.203817i
\(201\) −11.5547 20.5386i −0.815004 1.44868i
\(202\) 1.22000 4.55310i 0.0858389 0.320355i
\(203\) 37.1301 + 3.24847i 2.60602 + 0.227998i
\(204\) 0.151653 0.807342i 0.0106178 0.0565252i
\(205\) −6.37821 13.7418i −0.445474 0.959768i
\(206\) −4.70738 + 5.61003i −0.327978 + 0.390870i
\(207\) −7.59763 + 15.3881i −0.528072 + 1.06954i
\(208\) 0.727084 0.727084i 0.0504142 0.0504142i
\(209\) −8.09567 3.33295i −0.559989 0.230545i
\(210\) −17.2896 10.2823i −1.19310 0.709546i
\(211\) 2.25925 12.8129i 0.155533 0.882073i −0.802763 0.596298i \(-0.796638\pi\)
0.958297 0.285776i \(-0.0922512\pi\)
\(212\) 2.96428 0.259340i 0.203587 0.0178116i
\(213\) 15.5465 + 1.53492i 1.06523 + 0.105171i
\(214\) 2.66506 + 7.32220i 0.182180 + 0.500535i
\(215\) −6.44906 7.71347i −0.439822 0.526055i
\(216\) 4.58434 2.44619i 0.311925 0.166442i
\(217\) −27.6301 + 7.40347i −1.87565 + 0.502580i
\(218\) −1.94333 + 2.77536i −0.131619 + 0.187971i
\(219\) −1.90259 + 5.05142i −0.128565 + 0.341343i
\(220\) 1.15469 + 4.34020i 0.0778495 + 0.292616i
\(221\) −0.422335 + 0.243835i −0.0284093 + 0.0164021i
\(222\) 4.11204 + 2.94812i 0.275982 + 0.197865i
\(223\) −10.9166 + 23.4107i −0.731029 + 1.56770i 0.0894311 + 0.995993i \(0.471495\pi\)
−0.820460 + 0.571704i \(0.806283\pi\)
\(224\) −4.88071 1.77643i −0.326106 0.118693i
\(225\) −2.98557 + 14.6999i −0.199038 + 0.979992i
\(226\) 1.70430 9.66554i 0.113368 0.642942i
\(227\) −14.2770 + 14.2770i −0.947600 + 0.947600i −0.998694 0.0510937i \(-0.983729\pi\)
0.0510937 + 0.998694i \(0.483729\pi\)
\(228\) −5.94811 4.64973i −0.393923 0.307936i
\(229\) 21.5586i 1.42463i 0.701859 + 0.712316i \(0.252354\pi\)
−0.701859 + 0.712316i \(0.747646\pi\)
\(230\) −7.31823 10.4911i −0.482550 0.691764i
\(231\) 5.99032 + 17.0471i 0.394134 + 1.12162i
\(232\) −3.03273 6.50370i −0.199108 0.426989i
\(233\) 2.75301 + 1.28375i 0.180355 + 0.0841011i 0.510699 0.859760i \(-0.329387\pi\)
−0.330343 + 0.943861i \(0.607165\pi\)
\(234\) −2.87449 1.11940i −0.187911 0.0731772i
\(235\) −15.5018 + 8.91332i −1.01123 + 0.581441i
\(236\) −9.30002 5.36937i −0.605380 0.349516i
\(237\) 5.16389 + 11.4041i 0.335431 + 0.740779i
\(238\) 2.01785 + 1.41291i 0.130798 + 0.0915855i
\(239\) −7.44555 + 12.8961i −0.481612 + 0.834177i −0.999777 0.0211037i \(-0.993282\pi\)
0.518165 + 0.855281i \(0.326615\pi\)
\(240\) −0.0500432 + 3.87266i −0.00323028 + 0.249979i
\(241\) 7.21184 6.05145i 0.464556 0.389808i −0.380248 0.924884i \(-0.624161\pi\)
0.844804 + 0.535076i \(0.179717\pi\)
\(242\) −2.94391 + 6.31323i −0.189241 + 0.405829i
\(243\) −12.2515 9.63852i −0.785933 0.618311i
\(244\) 4.84500 5.77404i 0.310169 0.369645i
\(245\) 36.6370 25.5567i 2.34066 1.63276i
\(246\) −5.98042 + 10.0968i −0.381298 + 0.643749i
\(247\) 0.205138 + 4.47735i 0.0130526 + 0.284887i
\(248\) 3.89427 + 3.89427i 0.247287 + 0.247287i
\(249\) −0.438930 0.376722i −0.0278161 0.0238738i
\(250\) −8.52622 7.23212i −0.539246 0.457399i
\(251\) −8.45367 + 23.2263i −0.533591 + 1.46603i 0.321177 + 0.947019i \(0.395921\pi\)
−0.854768 + 0.519010i \(0.826301\pi\)
\(252\) 1.01173 + 15.5490i 0.0637328 + 0.979492i
\(253\) −1.00139 + 11.4460i −0.0629570 + 0.719602i
\(254\) −6.86728 11.8945i −0.430891 0.746326i
\(255\) 0.498296 1.76796i 0.0312045 0.110714i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) −8.25745 5.78193i −0.515086 0.360667i 0.286947 0.957946i \(-0.407359\pi\)
−0.802033 + 0.597279i \(0.796248\pi\)
\(258\) −2.09940 + 7.49969i −0.130703 + 0.466910i
\(259\) −13.1398 + 7.58628i −0.816469 + 0.471389i
\(260\) 1.76394 1.47479i 0.109395 0.0914628i
\(261\) −14.2022 + 16.1790i −0.879091 + 1.00145i
\(262\) 3.28958 + 7.05452i 0.203231 + 0.435830i
\(263\) 2.51866 + 28.7885i 0.155308 + 1.77517i 0.529975 + 0.848014i \(0.322201\pi\)
−0.374667 + 0.927159i \(0.622243\pi\)
\(264\) 2.26572 2.63986i 0.139446 0.162472i
\(265\) 6.65363 + 0.0118172i 0.408729 + 0.000725923i
\(266\) 20.0593 10.4971i 1.22991 0.643620i
\(267\) −2.87887 11.2439i −0.176184 0.688114i
\(268\) −7.80390 11.1451i −0.476699 0.680797i
\(269\) −16.3812 13.7455i −0.998782 0.838078i −0.0119670 0.999928i \(-0.503809\pi\)
−0.986815 + 0.161851i \(0.948254\pi\)
\(270\) 10.6967 4.53662i 0.650980 0.276090i
\(271\) −21.2278 + 7.72629i −1.28950 + 0.469339i −0.893562 0.448939i \(-0.851802\pi\)
−0.395936 + 0.918278i \(0.629580\pi\)
\(272\) 0.0413354 0.472466i 0.00250633 0.0286475i
\(273\) 6.61347 6.46767i 0.400265 0.391441i
\(274\) 6.33051 + 3.65492i 0.382440 + 0.220802i
\(275\) 1.70873 + 9.89613i 0.103040 + 0.596759i
\(276\) −3.49236 + 9.27230i −0.210215 + 0.558127i
\(277\) 19.8865 5.32856i 1.19486 0.320162i 0.394056 0.919086i \(-0.371072\pi\)
0.800806 + 0.598924i \(0.204405\pi\)
\(278\) 2.91903 10.8940i 0.175072 0.653377i
\(279\) 5.99551 15.3958i 0.358942 0.921723i
\(280\) −10.5171 4.92698i −0.628519 0.294443i
\(281\) −2.03613 + 5.59422i −0.121465 + 0.333723i −0.985492 0.169723i \(-0.945713\pi\)
0.864026 + 0.503447i \(0.167935\pi\)
\(282\) 12.4873 + 5.99327i 0.743610 + 0.356894i
\(283\) 5.75648 + 8.22111i 0.342187 + 0.488694i 0.952953 0.303117i \(-0.0980273\pi\)
−0.610766 + 0.791811i \(0.709138\pi\)
\(284\) 9.01942 0.535204
\(285\) −12.3231 11.5387i −0.729959 0.683491i
\(286\) −2.06526 −0.122121
\(287\) −20.1842 28.8261i −1.19144 1.70155i
\(288\) 2.49520 1.66553i 0.147031 0.0981422i
\(289\) 5.73741 15.7634i 0.337495 0.927259i
\(290\) −5.46131 15.0881i −0.320699 0.886006i
\(291\) −1.41884 8.60646i −0.0831737 0.504520i
\(292\) −0.806595 + 3.01025i −0.0472024 + 0.176162i
\(293\) −28.9519 + 7.75765i −1.69139 + 0.453207i −0.970748 0.240101i \(-0.922819\pi\)
−0.720642 + 0.693308i \(0.756153\pi\)
\(294\) −32.3807 12.1960i −1.88848 0.711285i
\(295\) −19.6454 13.8079i −1.14380 0.803929i
\(296\) 2.52984 + 1.46060i 0.147044 + 0.0848957i
\(297\) −9.98499 3.03667i −0.579388 0.176206i
\(298\) 0.315395 3.60498i 0.0182703 0.208831i
\(299\) 5.52737 2.01180i 0.319656 0.116345i
\(300\) −0.881505 + 8.61527i −0.0508937 + 0.497403i
\(301\) −17.8902 15.0117i −1.03118 0.865260i
\(302\) −1.47283 2.10342i −0.0847517 0.121038i
\(303\) −7.90927 + 2.02508i −0.454376 + 0.116338i
\(304\) −3.68129 2.33412i −0.211136 0.133871i
\(305\) 11.9390 11.8966i 0.683622 0.681198i
\(306\) −1.34752 + 0.456709i −0.0770327 + 0.0261083i
\(307\) 1.62141 + 18.5328i 0.0925389 + 1.05772i 0.890490 + 0.455003i \(0.150362\pi\)
−0.797951 + 0.602722i \(0.794083\pi\)
\(308\) 4.40880 + 9.45470i 0.251215 + 0.538732i
\(309\) 12.4664 + 2.34172i 0.709191 + 0.133216i
\(310\) 7.89902 + 9.44771i 0.448634 + 0.536594i
\(311\) 28.2558 16.3135i 1.60224 0.925053i 0.611200 0.791476i \(-0.290687\pi\)
0.991038 0.133577i \(-0.0426463\pi\)
\(312\) −1.71505 0.480097i −0.0970959 0.0271801i
\(313\) −13.6400 9.55086i −0.770980 0.539846i 0.120604 0.992701i \(-0.461517\pi\)
−0.891584 + 0.452854i \(0.850406\pi\)
\(314\) 3.25919 + 18.4838i 0.183927 + 1.04310i
\(315\) −0.838459 + 34.8320i −0.0472418 + 1.96256i
\(316\) 3.61387 + 6.25940i 0.203296 + 0.352119i
\(317\) −1.37898 + 15.7618i −0.0774510 + 0.885270i 0.853731 + 0.520715i \(0.174334\pi\)
−0.931182 + 0.364555i \(0.881221\pi\)
\(318\) −2.90891 4.25450i −0.163124 0.238581i
\(319\) −4.92960 + 13.5440i −0.276004 + 0.758316i
\(320\) 0.190930 + 2.22790i 0.0106733 + 0.124543i
\(321\) 8.78998 10.2415i 0.490609 0.571624i
\(322\) −21.0095 21.0095i −1.17081 1.17081i
\(323\) 1.39992 + 1.52116i 0.0778938 + 0.0846399i
\(324\) −7.58593 4.84289i −0.421441 0.269050i
\(325\) 4.22192 2.93393i 0.234190 0.162745i
\(326\) −5.75068 + 6.85339i −0.318501 + 0.379574i
\(327\) 5.83995 + 0.576583i 0.322950 + 0.0318851i
\(328\) −2.86333 + 6.14044i −0.158101 + 0.339049i
\(329\) −31.8181 + 26.6986i −1.75419 + 1.47194i
\(330\) 5.57115 5.42901i 0.306682 0.298857i
\(331\) −14.1677 + 24.5392i −0.778727 + 1.34879i 0.153949 + 0.988079i \(0.450801\pi\)
−0.932676 + 0.360716i \(0.882532\pi\)
\(332\) −0.273561 0.191549i −0.0150136 0.0105126i
\(333\) 0.958197 8.71106i 0.0525089 0.477363i
\(334\) −16.1495 9.32390i −0.883660 0.510181i
\(335\) −15.1648 26.3743i −0.828541 1.44098i
\(336\) 1.46333 + 8.87637i 0.0798313 + 0.484245i
\(337\) 23.6244 + 11.0162i 1.28690 + 0.600092i 0.941073 0.338205i \(-0.109820\pi\)
0.345830 + 0.938297i \(0.387597\pi\)
\(338\) −5.04720 10.8238i −0.274532 0.588735i
\(339\) −16.0381 + 5.63576i −0.871069 + 0.306093i
\(340\) 0.186009 1.04406i 0.0100877 0.0566222i
\(341\) 11.0616i 0.599017i
\(342\) −1.96759 + 12.9278i −0.106395 + 0.699057i
\(343\) 47.6606 47.6606i 2.57343 2.57343i
\(344\) −0.780792 + 4.42809i −0.0420975 + 0.238747i
\(345\) −9.62194 + 19.9569i −0.518028 + 1.07445i
\(346\) 19.3485 + 7.04228i 1.04018 + 0.378595i
\(347\) 1.97473 4.23482i 0.106009 0.227337i −0.846147 0.532950i \(-0.821083\pi\)
0.952156 + 0.305613i \(0.0988613\pi\)
\(348\) −7.24217 + 10.1014i −0.388221 + 0.541490i
\(349\) 5.46529 3.15538i 0.292550 0.168904i −0.346541 0.938035i \(-0.612644\pi\)
0.639091 + 0.769131i \(0.279311\pi\)
\(350\) −22.4442 13.0647i −1.19969 0.698336i
\(351\) 0.751374 + 5.28986i 0.0401054 + 0.282352i
\(352\) 1.15204 1.64528i 0.0614037 0.0876936i
\(353\) 6.24613 1.67365i 0.332448 0.0890792i −0.0887339 0.996055i \(-0.528282\pi\)
0.421182 + 0.906976i \(0.361615\pi\)
\(354\) −0.207301 + 18.5989i −0.0110179 + 0.988519i
\(355\) 20.0881 + 1.79344i 1.06617 + 0.0951859i
\(356\) −2.29190 6.29694i −0.121470 0.333737i
\(357\) 0.419209 4.24598i 0.0221869 0.224721i
\(358\) 9.61209 0.840949i 0.508015 0.0444455i
\(359\) 4.92643 27.9392i 0.260007 1.47457i −0.522878 0.852408i \(-0.675142\pi\)
0.782885 0.622167i \(-0.213747\pi\)
\(360\) 5.88851 3.21333i 0.310352 0.169357i
\(361\) 18.3313 4.99649i 0.964803 0.262973i
\(362\) −1.12904 + 1.12904i −0.0593408 + 0.0593408i
\(363\) 12.0303 0.917532i 0.631427 0.0481580i
\(364\) 3.43293 4.09120i 0.179934 0.214437i
\(365\) −2.39502 + 6.54408i −0.125361 + 0.342533i
\(366\) −12.8309 2.41018i −0.670682 0.125982i
\(367\) −4.77393 0.417665i −0.249197 0.0218019i −0.0381272 0.999273i \(-0.512139\pi\)
−0.211070 + 0.977471i \(0.567695\pi\)
\(368\) −1.48057 + 5.52557i −0.0771802 + 0.288040i
\(369\) 20.3206 + 0.453039i 1.05785 + 0.0235843i
\(370\) 5.34404 + 3.75610i 0.277824 + 0.195270i
\(371\) 15.2203 2.68375i 0.790199 0.139333i
\(372\) 2.57141 9.18587i 0.133321 0.476265i
\(373\) 3.45090 + 0.924667i 0.178681 + 0.0478774i 0.347050 0.937847i \(-0.387183\pi\)
−0.168369 + 0.985724i \(0.553850\pi\)
\(374\) −0.729719 + 0.612307i −0.0377328 + 0.0316616i
\(375\) −3.67637 + 19.0127i −0.189847 + 0.981814i
\(376\) 7.51466 + 2.73511i 0.387539 + 0.141053i
\(377\) 7.35070 0.643103i 0.378580 0.0331215i
\(378\) 22.6129 14.7323i 1.16308 0.757746i
\(379\) 5.56548i 0.285880i 0.989731 + 0.142940i \(0.0456555\pi\)
−0.989731 + 0.142940i \(0.954344\pi\)
\(380\) −7.73488 5.93057i −0.396791 0.304232i
\(381\) −12.1234 + 20.4680i −0.621098 + 1.04861i
\(382\) −4.29585 + 3.00799i −0.219795 + 0.153902i
\(383\) 0.677340 + 7.74203i 0.0346105 + 0.395599i 0.993665 + 0.112379i \(0.0358471\pi\)
−0.959055 + 0.283220i \(0.908597\pi\)
\(384\) 1.33915 1.09848i 0.0683384 0.0560568i
\(385\) 7.93933 + 21.9343i 0.404626 + 1.11787i
\(386\) 14.8551 + 17.7037i 0.756107 + 0.901093i
\(387\) 13.1041 3.19998i 0.666121 0.162664i
\(388\) −1.30342 4.86442i −0.0661709 0.246953i
\(389\) 1.17116 + 6.64197i 0.0593801 + 0.336761i 0.999996 0.00271068i \(-0.000862837\pi\)
−0.940616 + 0.339472i \(0.889752\pi\)
\(390\) −3.72432 1.41030i −0.188588 0.0714134i
\(391\) 1.35653 2.34958i 0.0686028 0.118824i
\(392\) −19.2964 5.17045i −0.974614 0.261147i
\(393\) 7.85553 10.9569i 0.396259 0.552702i
\(394\) 3.11137 + 8.54841i 0.156748 + 0.430663i
\(395\) 6.80421 + 14.6596i 0.342357 + 0.737604i
\(396\) −5.90920 1.17833i −0.296949 0.0592132i
\(397\) 16.4185 11.4964i 0.824022 0.576986i −0.0837327 0.996488i \(-0.526684\pi\)
0.907754 + 0.419502i \(0.137795\pi\)
\(398\) −14.6886 14.6886i −0.736274 0.736274i
\(399\) −32.8814 21.3659i −1.64613 1.06964i
\(400\) −0.0177604 + 4.99997i −0.000888022 + 0.249998i
\(401\) −1.10198 0.194309i −0.0550303 0.00970333i 0.146065 0.989275i \(-0.453339\pi\)
−0.201096 + 0.979572i \(0.564450\pi\)
\(402\) −10.1967 + 21.2455i −0.508567 + 1.05963i
\(403\) −5.13236 + 2.39326i −0.255661 + 0.119217i
\(404\) −4.42945 + 1.61219i −0.220373 + 0.0802093i
\(405\) −15.9325 12.2945i −0.791692 0.610921i
\(406\) −18.6360 32.2785i −0.924888 1.60195i
\(407\) −1.51856 5.66735i −0.0752723 0.280920i
\(408\) −0.748320 + 0.338846i −0.0370474 + 0.0167754i
\(409\) 28.3757 5.00340i 1.40309 0.247402i 0.579677 0.814847i \(-0.303179\pi\)
0.823412 + 0.567444i \(0.192068\pi\)
\(410\) −7.59822 + 13.1067i −0.375249 + 0.647293i
\(411\) 0.141109 12.6602i 0.00696041 0.624483i
\(412\) 7.29551 + 0.638274i 0.359424 + 0.0314455i
\(413\) −50.5506 23.5721i −2.48743 1.15991i
\(414\) 16.9630 2.60262i 0.833685 0.127912i
\(415\) −0.571189 0.481015i −0.0280385 0.0236121i
\(416\) −1.01263 0.178554i −0.0496483 0.00875433i
\(417\) −18.9241 + 4.84530i −0.926716 + 0.237275i
\(418\) 1.91330 + 8.54328i 0.0935823 + 0.417866i
\(419\) 3.06380 0.149676 0.0748381 0.997196i \(-0.476156\pi\)
0.0748381 + 0.997196i \(0.476156\pi\)
\(420\) 1.49415 + 20.0605i 0.0729071 + 0.978852i
\(421\) 17.0546 + 14.3105i 0.831190 + 0.697451i 0.955564 0.294784i \(-0.0952477\pi\)
−0.124374 + 0.992235i \(0.539692\pi\)
\(422\) −11.7915 + 5.49848i −0.574003 + 0.267662i
\(423\) −1.55772 23.9402i −0.0757389 1.16401i
\(424\) −1.91268 2.27944i −0.0928878 0.110699i
\(425\) 0.621884 2.28836i 0.0301658 0.111002i
\(426\) −7.65978 13.6153i −0.371117 0.659665i
\(427\) 22.4551 32.0692i 1.08668 1.55194i
\(428\) 4.46938 6.38293i 0.216036 0.308531i
\(429\) 1.75393 + 3.11763i 0.0846804 + 0.150521i
\(430\) −2.61948 + 9.70703i −0.126322 + 0.468115i
\(431\) 3.91974 + 4.67136i 0.188807 + 0.225012i 0.852141 0.523312i \(-0.175304\pi\)
−0.663334 + 0.748323i \(0.730859\pi\)
\(432\) −4.63327 2.35219i −0.222918 0.113170i
\(433\) −2.82364 + 1.31668i −0.135695 + 0.0632758i −0.489280 0.872127i \(-0.662740\pi\)
0.353585 + 0.935403i \(0.384963\pi\)
\(434\) 21.9126 + 18.3868i 1.05184 + 0.882595i
\(435\) −18.1384 + 21.0578i −0.869670 + 1.00965i
\(436\) 3.38809 0.162260
\(437\) −13.4428 21.0011i −0.643057 1.00462i
\(438\) 5.22916 1.33887i 0.249859 0.0639735i
\(439\) −10.4965 1.85081i −0.500970 0.0883345i −0.0825476 0.996587i \(-0.526306\pi\)
−0.418422 + 0.908253i \(0.637417\pi\)
\(440\) 2.89298 3.43531i 0.137917 0.163772i
\(441\) 9.08885 + 59.2380i 0.432802 + 2.82086i
\(442\) 0.441979 + 0.206098i 0.0210228 + 0.00980310i
\(443\) −3.69956 0.323670i −0.175772 0.0153780i −0.00106988 0.999999i \(-0.500341\pi\)
−0.174702 + 0.984621i \(0.555896\pi\)
\(444\) 0.0563910 5.05936i 0.00267620 0.240106i
\(445\) −3.85244 14.4803i −0.182623 0.686434i
\(446\) 25.4384 4.48548i 1.20454 0.212394i
\(447\) −5.70978 + 2.58544i −0.270063 + 0.122287i
\(448\) 1.34429 + 5.01697i 0.0635118 + 0.237029i
\(449\) 10.1794 + 17.6313i 0.480398 + 0.832073i 0.999747 0.0224886i \(-0.00715895\pi\)
−0.519349 + 0.854562i \(0.673826\pi\)
\(450\) 13.7539 5.98587i 0.648364 0.282177i
\(451\) 12.7875 4.65426i 0.602138 0.219160i
\(452\) −8.89509 + 4.14785i −0.418390 + 0.195098i
\(453\) −1.92443 + 4.00965i −0.0904174 + 0.188390i
\(454\) 19.8840 + 3.50609i 0.933204 + 0.164549i
\(455\) 8.45935 8.42935i 0.396580 0.395174i
\(456\) −0.397142 + 7.53938i −0.0185979 + 0.353064i
\(457\) 3.03439 + 3.03439i 0.141943 + 0.141943i 0.774507 0.632565i \(-0.217998\pi\)
−0.632565 + 0.774507i \(0.717998\pi\)
\(458\) 17.6598 12.3655i 0.825187 0.577802i
\(459\) 1.83382 + 1.64630i 0.0855953 + 0.0768427i
\(460\) −4.39626 + 12.0122i −0.204977 + 0.560072i
\(461\) −6.91142 18.9890i −0.321897 0.884405i −0.990092 0.140419i \(-0.955155\pi\)
0.668195 0.743986i \(-0.267067\pi\)
\(462\) 10.5282 14.6848i 0.489818 0.683198i
\(463\) −17.0295 4.56304i −0.791428 0.212063i −0.159611 0.987180i \(-0.551024\pi\)
−0.631817 + 0.775117i \(0.717691\pi\)
\(464\) −3.58802 + 6.21463i −0.166570 + 0.288507i
\(465\) 7.55360 19.9475i 0.350290 0.925045i
\(466\) −0.527475 2.99146i −0.0244348 0.138577i
\(467\) −8.39598 31.3342i −0.388520 1.44998i −0.832543 0.553960i \(-0.813116\pi\)
0.444024 0.896015i \(-0.353551\pi\)
\(468\) 0.731782 + 2.99670i 0.0338266 + 0.138523i
\(469\) −45.4240 54.1342i −2.09748 2.49968i
\(470\) 16.1929 + 7.58590i 0.746921 + 0.349911i
\(471\) 25.1345 20.6174i 1.15814 0.949998i
\(472\) 0.935942 + 10.6979i 0.0430802 + 0.492409i
\(473\) 7.39783 5.18002i 0.340153 0.238177i
\(474\) 6.37984 10.7712i 0.293036 0.494736i
\(475\) −16.0480 14.7466i −0.736331 0.676622i
\(476\) 2.46334i 0.112907i
\(477\) −3.95202 + 8.00433i −0.180950 + 0.366493i
\(478\) 14.8344 1.29784i 0.678511 0.0593620i
\(479\) 34.6941 + 12.6276i 1.58522 + 0.576971i 0.976330 0.216287i \(-0.0693946\pi\)
0.608886 + 0.793258i \(0.291617\pi\)
\(480\) 3.20100 2.18027i 0.146105 0.0995154i
\(481\) −2.30099 + 1.93076i −0.104916 + 0.0880351i
\(482\) −9.09360 2.43662i −0.414202 0.110985i
\(483\) −13.8727 + 49.5575i −0.631229 + 2.25494i
\(484\) 6.86005 1.20961i 0.311820 0.0549823i
\(485\) −1.93573 11.0932i −0.0878970 0.503718i
\(486\) −0.868250 + 15.5643i −0.0393846 + 0.706009i
\(487\) 7.85577 29.3181i 0.355979 1.32853i −0.523270 0.852167i \(-0.675288\pi\)
0.879248 0.476364i \(-0.158045\pi\)
\(488\) −7.50880 0.656935i −0.339907 0.0297380i
\(489\) 15.2294 + 2.86072i 0.688696 + 0.129366i
\(490\) −41.9490 15.3526i −1.89506 0.693560i
\(491\) 2.43882 2.90648i 0.110063 0.131168i −0.708201 0.706011i \(-0.750493\pi\)
0.818263 + 0.574844i \(0.194937\pi\)
\(492\) 11.7011 0.892421i 0.527524 0.0402334i
\(493\) 2.40656 2.40656i 0.108386 0.108386i
\(494\) 3.54997 2.73614i 0.159721 0.123105i
\(495\) −12.9267 3.79938i −0.581013 0.170769i
\(496\) 0.956339 5.42367i 0.0429409 0.243530i
\(497\) 46.6681 4.08293i 2.09335 0.183144i
\(498\) −0.0568324 + 0.575630i −0.00254672 + 0.0257946i
\(499\) 3.62735 + 9.96606i 0.162382 + 0.446142i 0.994023 0.109172i \(-0.0348201\pi\)
−0.831640 + 0.555315i \(0.812598\pi\)
\(500\) −1.03376 + 11.1324i −0.0462312 + 0.497858i
\(501\) −0.359978 + 32.2969i −0.0160826 + 1.44292i
\(502\) 23.8747 6.39720i 1.06558 0.285521i
\(503\) 0.400527 0.572012i 0.0178586 0.0255048i −0.810123 0.586259i \(-0.800600\pi\)
0.827982 + 0.560755i \(0.189489\pi\)
\(504\) 12.1567 9.74727i 0.541501 0.434178i
\(505\) −10.1859 + 2.70992i −0.453266 + 0.120590i
\(506\) 9.95036 5.74485i 0.442348 0.255390i
\(507\) −12.0527 + 16.8112i −0.535281 + 0.746610i
\(508\) −5.80448 + 12.4477i −0.257532 + 0.552279i
\(509\) 14.6234 + 5.32249i 0.648172 + 0.235915i 0.645121 0.764080i \(-0.276807\pi\)
0.00305028 + 0.999995i \(0.499029\pi\)
\(510\) −1.73404 + 0.605882i −0.0767847 + 0.0268289i
\(511\) −2.81078 + 15.9407i −0.124342 + 0.705177i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 21.1863 8.00881i 0.935398 0.353598i
\(514\) 10.0805i 0.444631i
\(515\) 16.1217 + 2.87223i 0.710408 + 0.126565i
\(516\) 7.34755 2.58192i 0.323458 0.113663i
\(517\) −6.78807 14.5571i −0.298539 0.640219i
\(518\) 13.7510 + 6.41220i 0.604185 + 0.281736i
\(519\) −5.80105 35.1884i −0.254638 1.54460i
\(520\) −2.21984 0.599031i −0.0973462 0.0262692i
\(521\) 7.53899 + 4.35264i 0.330289 + 0.190693i 0.655970 0.754787i \(-0.272260\pi\)
−0.325680 + 0.945480i \(0.605593\pi\)
\(522\) 21.3991 + 2.35385i 0.936611 + 0.103025i
\(523\) −14.7688 10.3412i −0.645795 0.452190i 0.204237 0.978921i \(-0.434529\pi\)
−0.850032 + 0.526731i \(0.823417\pi\)
\(524\) 3.89190 6.74097i 0.170019 0.294481i
\(525\) −0.661084 + 44.9760i −0.0288521 + 1.96291i
\(526\) 22.1375 18.5756i 0.965240 0.809933i
\(527\) −1.10387 + 2.36725i −0.0480852 + 0.103119i
\(528\) −3.46201 0.341808i −0.150665 0.0148753i
\(529\) −6.25051 + 7.44906i −0.271761 + 0.323872i
\(530\) −3.80669 5.45711i −0.165352 0.237042i
\(531\) 28.2522 15.4822i 1.22604 0.671872i
\(532\) −20.1043 10.4107i −0.871631 0.451361i
\(533\) −4.92616 4.92616i −0.213376 0.213376i
\(534\) −7.55920 + 8.80746i −0.327119 + 0.381136i
\(535\) 11.2234 13.3274i 0.485232 0.576195i
\(536\) −4.65342 + 12.7852i −0.200997 + 0.552235i
\(537\) −9.43257 13.7958i −0.407045 0.595334i
\(538\) −1.86376 + 21.3028i −0.0803522 + 0.918430i
\(539\) 20.0621 + 34.7486i 0.864136 + 1.49673i
\(540\) −9.85155 6.16012i −0.423943 0.265089i
\(541\) −0.860461 4.87992i −0.0369941 0.209804i 0.960708 0.277562i \(-0.0895265\pi\)
−0.997702 + 0.0677582i \(0.978415\pi\)
\(542\) 18.5048 + 12.9572i 0.794848 + 0.556559i
\(543\) 2.66318 + 0.745508i 0.114288 + 0.0319928i
\(544\) −0.410731 + 0.237136i −0.0176099 + 0.0101671i
\(545\) 7.54598 + 0.673695i 0.323234 + 0.0288579i
\(546\) −9.09134 1.70773i −0.389073 0.0730843i
\(547\) 0.539967 + 1.15796i 0.0230873 + 0.0495109i 0.917513 0.397705i \(-0.130193\pi\)
−0.894426 + 0.447216i \(0.852416\pi\)
\(548\) −0.637094 7.28202i −0.0272153 0.311073i
\(549\) 7.25838 + 21.4158i 0.309780 + 0.914006i
\(550\) 7.12635 7.07590i 0.303868 0.301717i
\(551\) −9.47013 29.8116i −0.403441 1.27002i
\(552\) 9.59856 2.45760i 0.408542 0.104603i
\(553\) 21.5323 + 30.7513i 0.915648 + 1.30768i
\(554\) −15.7713 13.2337i −0.670059 0.562246i
\(555\) 1.13161 11.2570i 0.0480341 0.477834i
\(556\) −10.5981 + 3.85739i −0.449460 + 0.163590i
\(557\) −3.66427 + 41.8828i −0.155260 + 1.77463i 0.375224 + 0.926934i \(0.377566\pi\)
−0.530484 + 0.847695i \(0.677990\pi\)
\(558\) −16.0504 + 3.91944i −0.679467 + 0.165923i
\(559\) −4.00401 2.31172i −0.169352 0.0977752i
\(560\) 1.99644 + 11.4411i 0.0843648 + 0.483476i
\(561\) 1.54403 + 0.581549i 0.0651890 + 0.0245530i
\(562\) 5.75040 1.54081i 0.242566 0.0649953i
\(563\) −9.76122 + 36.4294i −0.411387 + 1.53532i 0.380578 + 0.924749i \(0.375725\pi\)
−0.791965 + 0.610567i \(0.790942\pi\)
\(564\) −2.25304 13.6666i −0.0948701 0.575469i
\(565\) −20.6360 + 7.46941i −0.868163 + 0.314240i
\(566\) 3.43256 9.43087i 0.144281 0.396409i
\(567\) −41.4433 21.6240i −1.74045 0.908122i
\(568\) −5.17333 7.38827i −0.217068 0.310005i
\(569\) 15.1286 0.634222 0.317111 0.948388i \(-0.397287\pi\)
0.317111 + 0.948388i \(0.397287\pi\)
\(570\) −2.38366 + 16.7128i −0.0998407 + 0.700023i
\(571\) −44.7125 −1.87116 −0.935579 0.353116i \(-0.885122\pi\)
−0.935579 + 0.353116i \(0.885122\pi\)
\(572\) 1.18458 + 1.69176i 0.0495299 + 0.0707360i
\(573\) 8.18900 + 3.93029i 0.342100 + 0.164190i
\(574\) −12.0357 + 33.0679i −0.502362 + 1.38023i
\(575\) −12.1799 + 25.8795i −0.507938 + 1.07925i
\(576\) −2.79551 1.08864i −0.116479 0.0453600i
\(577\) 2.98245 11.1307i 0.124161 0.463375i −0.875647 0.482951i \(-0.839565\pi\)
0.999808 + 0.0195757i \(0.00623154\pi\)
\(578\) −16.2035 + 4.34171i −0.673976 + 0.180591i
\(579\) 14.1089 37.4596i 0.586348 1.55677i
\(580\) −9.22700 + 13.1278i −0.383130 + 0.545104i
\(581\) −1.50216 0.867274i −0.0623202 0.0359806i
\(582\) −6.23619 + 6.09871i −0.258498 + 0.252800i
\(583\) −0.520889 + 5.95379i −0.0215730 + 0.246581i
\(584\) 2.92850 1.06589i 0.121182 0.0441067i
\(585\) 1.03396 + 6.81979i 0.0427490 + 0.281964i
\(586\) 22.9608 + 19.2664i 0.948503 + 0.795889i
\(587\) 6.82793 + 9.75130i 0.281819 + 0.402479i 0.934958 0.354759i \(-0.115437\pi\)
−0.653139 + 0.757238i \(0.726548\pi\)
\(588\) 8.58242 + 33.5200i 0.353933 + 1.38234i
\(589\) 14.6548 + 19.0137i 0.603842 + 0.783445i
\(590\) −0.0426474 + 24.0125i −0.00175577 + 0.988579i
\(591\) 10.2620 11.9566i 0.422122 0.491827i
\(592\) −0.254600 2.91009i −0.0104640 0.119604i
\(593\) 4.98316 + 10.6864i 0.204634 + 0.438839i 0.981663 0.190626i \(-0.0610519\pi\)
−0.777029 + 0.629465i \(0.783274\pi\)
\(594\) 3.23966 + 9.92099i 0.132925 + 0.407063i
\(595\) 0.489815 5.48637i 0.0200805 0.224919i
\(596\) −3.13393 + 1.80938i −0.128371 + 0.0741149i
\(597\) −9.69898 + 34.6477i −0.396953 + 1.41804i
\(598\) −4.81834 3.37384i −0.197037 0.137967i
\(599\) 3.74830 + 21.2577i 0.153151 + 0.868564i 0.960457 + 0.278430i \(0.0898140\pi\)
−0.807305 + 0.590134i \(0.799075\pi\)
\(600\) 7.56283 4.21943i 0.308751 0.172258i
\(601\) 8.57455 + 14.8516i 0.349763 + 0.605808i 0.986207 0.165515i \(-0.0529287\pi\)
−0.636444 + 0.771323i \(0.719595\pi\)
\(602\) −2.03544 + 23.2652i −0.0829584 + 0.948218i
\(603\) 40.7309 2.65025i 1.65869 0.107926i
\(604\) −0.878238 + 2.41294i −0.0357350 + 0.0981811i
\(605\) 15.5193 1.32999i 0.630949 0.0540718i
\(606\) 6.19542 + 5.31736i 0.251672 + 0.216003i
\(607\) 7.56959 + 7.56959i 0.307240 + 0.307240i 0.843838 0.536598i \(-0.180291\pi\)
−0.536598 + 0.843838i \(0.680291\pi\)
\(608\) 0.199502 + 4.35433i 0.00809088 + 0.176591i
\(609\) −32.8996 + 55.5447i −1.33316 + 2.25079i
\(610\) −16.5930 2.95620i −0.671833 0.119693i
\(611\) −5.28555 + 6.29908i −0.213831 + 0.254833i
\(612\) 1.14702 + 0.841867i 0.0463656 + 0.0340305i
\(613\) 4.20181 9.01082i 0.169710 0.363943i −0.802997 0.595984i \(-0.796762\pi\)
0.972706 + 0.232040i \(0.0745401\pi\)
\(614\) 14.2512 11.9582i 0.575132 0.482593i
\(615\) 26.2381 + 0.339054i 1.05802 + 0.0136720i
\(616\) 5.21606 9.03447i 0.210161 0.364009i
\(617\) −29.6624 20.7698i −1.19416 0.836161i −0.204400 0.978887i \(-0.565524\pi\)
−0.989762 + 0.142726i \(0.954413\pi\)
\(618\) −5.23223 11.5551i −0.210471 0.464813i
\(619\) −2.20645 1.27389i −0.0886846 0.0512021i 0.455002 0.890490i \(-0.349639\pi\)
−0.543686 + 0.839288i \(0.682972\pi\)
\(620\) 3.20842 11.8895i 0.128853 0.477493i
\(621\) −18.3347 23.3963i −0.735746 0.938863i
\(622\) −29.5701 13.7888i −1.18565 0.552879i
\(623\) −14.7092 31.5440i −0.589312 1.26378i
\(624\) 0.590442 + 1.68026i 0.0236366 + 0.0672644i
\(625\) −4.51600 + 24.5887i −0.180640 + 0.983549i
\(626\) 16.6514i 0.665524i
\(627\) 11.2717 10.1436i 0.450149 0.405098i
\(628\) 13.2716 13.2716i 0.529596 0.529596i
\(629\) −0.240579 + 1.36439i −0.00959253 + 0.0544019i
\(630\) 29.0136 19.2920i 1.15593 0.768610i
\(631\) 33.4801 + 12.1857i 1.33282 + 0.485107i 0.907544 0.419957i \(-0.137955\pi\)
0.425276 + 0.905064i \(0.360177\pi\)
\(632\) 3.05457 6.55055i 0.121504 0.260567i
\(633\) 18.3143 + 13.1304i 0.727927 + 0.521887i
\(634\) 13.7022 7.91099i 0.544185 0.314186i
\(635\) −15.4029 + 26.5695i −0.611246 + 1.05438i
\(636\) −1.81660 + 4.82312i −0.0720329 + 0.191249i
\(637\) 11.7821 16.8266i 0.466824 0.666693i
\(638\) 13.9221 3.73040i 0.551180 0.147688i
\(639\) −14.0481 + 23.1258i −0.555733 + 0.914841i
\(640\) 1.71548 1.43427i 0.0678102 0.0566946i
\(641\) 5.52167 + 15.1707i 0.218093 + 0.599205i 0.999698 0.0245681i \(-0.00782106\pi\)
−0.781605 + 0.623773i \(0.785599\pi\)
\(642\) −13.4311 1.32606i −0.530081 0.0523354i
\(643\) −2.65494 + 0.232278i −0.104701 + 0.00916013i −0.139386 0.990238i \(-0.544513\pi\)
0.0346849 + 0.999398i \(0.488957\pi\)
\(644\) −5.15942 + 29.2605i −0.203310 + 1.15303i
\(645\) 16.8779 4.28948i 0.664568 0.168898i
\(646\) 0.443102 2.01925i 0.0174336 0.0794465i
\(647\) −29.0061 + 29.0061i −1.14035 + 1.14035i −0.151962 + 0.988386i \(0.548559\pi\)
−0.988386 + 0.151962i \(0.951441\pi\)
\(648\) 0.384046 + 8.99180i 0.0150868 + 0.353231i
\(649\) 13.8642 16.5227i 0.544218 0.648574i
\(650\) −4.82493 1.77556i −0.189249 0.0696434i
\(651\) 9.14666 48.6934i 0.358486 1.90844i
\(652\) 8.91242 + 0.779736i 0.349037 + 0.0305368i
\(653\) 10.5339 39.3131i 0.412224 1.53844i −0.378108 0.925761i \(-0.623425\pi\)
0.790332 0.612679i \(-0.209908\pi\)
\(654\) −2.87735 5.11452i −0.112513 0.199994i
\(655\) 10.0085 14.2397i 0.391063 0.556391i
\(656\) 6.67229 1.17651i 0.260509 0.0459348i
\(657\) −6.46198 6.75669i −0.252106 0.263603i
\(658\) 40.1203 + 10.7502i 1.56405 + 0.419087i
\(659\) 19.0031 15.9455i 0.740255 0.621147i −0.192651 0.981267i \(-0.561709\pi\)
0.932906 + 0.360120i \(0.117264\pi\)
\(660\) −7.64267 1.44967i −0.297490 0.0564284i
\(661\) 23.1942 + 8.44200i 0.902150 + 0.328356i 0.751114 0.660172i \(-0.229517\pi\)
0.151036 + 0.988528i \(0.451739\pi\)
\(662\) 28.2276 2.46959i 1.09710 0.0959834i
\(663\) −0.0642350 0.842223i −0.00249468 0.0327092i
\(664\) 0.333956i 0.0129600i
\(665\) −42.7063 27.1844i −1.65608 1.05417i
\(666\) −7.68529 + 4.21155i −0.297799 + 0.163194i
\(667\) −33.6266 + 23.5456i −1.30203 + 0.911689i
\(668\) 1.62526 + 18.5768i 0.0628833 + 0.718760i
\(669\) −28.3748 34.5915i −1.09703 1.33738i
\(670\) −12.9064 + 27.5499i −0.498616 + 1.06435i
\(671\) 9.73125 + 11.5972i 0.375671 + 0.447707i
\(672\) 6.43176 6.28997i 0.248111 0.242641i
\(673\) −2.78083 10.3782i −0.107193 0.400050i 0.891392 0.453234i \(-0.149730\pi\)
−0.998585 + 0.0531840i \(0.983063\pi\)
\(674\) −4.52642 25.6706i −0.174351 0.988795i
\(675\) −20.7166 15.6788i −0.797381 0.603476i
\(676\) −5.97135 + 10.3427i −0.229667 + 0.397795i
\(677\) 24.4629 + 6.55482i 0.940186 + 0.251922i 0.696193 0.717855i \(-0.254876\pi\)
0.243993 + 0.969777i \(0.421543\pi\)
\(678\) 13.8156 + 9.90509i 0.530585 + 0.380403i
\(679\) −8.94615 24.5793i −0.343322 0.943268i
\(680\) −0.961936 + 0.446480i −0.0368886 + 0.0171217i
\(681\) −11.5939 32.9937i −0.444281 1.26432i
\(682\) −9.06110 + 6.34465i −0.346967 + 0.242949i
\(683\) 20.1067 + 20.1067i 0.769363 + 0.769363i 0.977994 0.208631i \(-0.0669009\pi\)
−0.208631 + 0.977994i \(0.566901\pi\)
\(684\) 11.7184 5.80334i 0.448065 0.221896i
\(685\) 0.0290300 16.3453i 0.00110918 0.624521i
\(686\) −66.3782 11.7043i −2.53433 0.446871i
\(687\) −33.6641 16.1570i −1.28436 0.616428i
\(688\) 4.07512 1.90026i 0.155363 0.0724468i
\(689\) 2.87514 1.04647i 0.109534 0.0398672i
\(690\) 21.8667 3.56500i 0.832450 0.135717i
\(691\) −17.9155 31.0306i −0.681538 1.18046i −0.974512 0.224338i \(-0.927978\pi\)
0.292974 0.956120i \(-0.405355\pi\)
\(692\) −5.32915 19.8886i −0.202584 0.756053i
\(693\) −31.1087 3.42189i −1.18172 0.129987i
\(694\) −4.60162 + 0.811390i −0.174675 + 0.0307999i
\(695\) −24.3712 + 6.48387i −0.924452 + 0.245947i
\(696\) 12.4285 + 0.138527i 0.471101 + 0.00525083i
\(697\) −3.20107 0.280057i −0.121249 0.0106079i
\(698\) −5.71950 2.66705i −0.216486 0.100949i
\(699\) −4.06782 + 3.33676i −0.153859 + 0.126208i
\(700\) 2.17150 + 25.8788i 0.0820750 + 0.978126i
\(701\) 38.0094 + 6.70208i 1.43559 + 0.253134i 0.836685 0.547684i \(-0.184490\pi\)
0.598908 + 0.800818i \(0.295601\pi\)
\(702\) 3.90223 3.64963i 0.147280 0.137746i
\(703\) 10.1186 + 7.72974i 0.381630 + 0.291533i
\(704\) −2.00851 −0.0756987
\(705\) −2.30049 30.8864i −0.0866415 1.16325i
\(706\) −4.95360 4.15657i −0.186431 0.156434i
\(707\) −22.1890 + 10.3469i −0.834502 + 0.389135i
\(708\) 15.3542 10.4981i 0.577047 0.394542i
\(709\) 1.25167 + 1.49168i 0.0470075 + 0.0560213i 0.789036 0.614347i \(-0.210581\pi\)
−0.742028 + 0.670368i \(0.766136\pi\)
\(710\) −10.0530 17.4839i −0.377282 0.656159i
\(711\) −21.6778 0.483297i −0.812982 0.0181250i
\(712\) −3.84357 + 5.48919i −0.144044 + 0.205716i
\(713\) 18.0703 25.8071i 0.676740 0.966485i
\(714\) −3.71855 + 2.09200i −0.139163 + 0.0782911i
\(715\) 2.30192 + 4.00345i 0.0860870 + 0.149721i
\(716\) −6.20213 7.39142i −0.231785 0.276230i
\(717\) −14.5574 21.2912i −0.543655 0.795136i
\(718\) −25.7121 + 11.9898i −0.959568 + 0.447454i
\(719\) −11.7772 9.88221i −0.439214 0.368544i 0.396201 0.918164i \(-0.370328\pi\)
−0.835415 + 0.549620i \(0.814773\pi\)
\(720\) −6.00971 2.98049i −0.223969 0.111076i
\(721\) 38.0372 1.41658
\(722\) −14.6073 12.1502i −0.543626 0.452184i
\(723\) 4.04455 + 15.7966i 0.150418 + 0.587483i
\(724\) 1.57244 + 0.277264i 0.0584393 + 0.0103044i
\(725\) −23.1608 + 27.4037i −0.860172 + 1.01775i
\(726\) −7.65190 9.32838i −0.283989 0.346209i
\(727\) 2.07351 + 0.966892i 0.0769021 + 0.0358600i 0.460689 0.887562i \(-0.347602\pi\)
−0.383787 + 0.923422i \(0.625380\pi\)
\(728\) −5.32036 0.465471i −0.197186 0.0172515i
\(729\) 24.2325 11.9073i 0.897501 0.441012i
\(730\) 6.73433 1.79164i 0.249249 0.0663117i
\(731\) −2.10012 + 0.370307i −0.0776756 + 0.0136963i
\(732\) 5.38519 + 11.8929i 0.199042 + 0.439573i
\(733\) −3.49197 13.0322i −0.128979 0.481356i 0.870971 0.491334i \(-0.163491\pi\)
−0.999950 + 0.00997799i \(0.996824\pi\)
\(734\) 2.39608 + 4.15014i 0.0884410 + 0.153184i
\(735\) 12.4497 + 76.3627i 0.459213 + 2.81668i
\(736\) 5.37551 1.95652i 0.198144 0.0721184i
\(737\) 24.7668 11.5490i 0.912299 0.425412i
\(738\) −11.2843 16.9055i −0.415382 0.622301i
\(739\) −34.5427 6.09080i −1.27067 0.224054i −0.502657 0.864486i \(-0.667644\pi\)
−0.768015 + 0.640432i \(0.778755\pi\)
\(740\) 0.0116011 6.53200i 0.000426467 0.240121i
\(741\) −7.14519 3.03521i −0.262485 0.111501i
\(742\) −10.9284 10.9284i −0.401194 0.401194i
\(743\) −8.48367 + 5.94033i −0.311236 + 0.217930i −0.718749 0.695270i \(-0.755285\pi\)
0.407513 + 0.913199i \(0.366396\pi\)
\(744\) −8.99952 + 3.16242i −0.329938 + 0.115940i
\(745\) −7.33970 + 3.40670i −0.268906 + 0.124812i
\(746\) −1.22191 3.35718i −0.0447375 0.122915i
\(747\) 0.917212 0.403064i 0.0335590 0.0147473i
\(748\) 0.920122 + 0.246546i 0.0336430 + 0.00901461i
\(749\) 20.2359 35.0497i 0.739405 1.28069i
\(750\) 17.6830 7.89375i 0.645692 0.288239i
\(751\) 6.13894 + 34.8157i 0.224013 + 1.27044i 0.864563 + 0.502525i \(0.167596\pi\)
−0.640549 + 0.767917i \(0.721293\pi\)
\(752\) −2.06976 7.72444i −0.0754763 0.281681i
\(753\) −29.9326 30.6074i −1.09080 1.11539i
\(754\) −4.74299 5.65247i −0.172729 0.205851i
\(755\) −2.43581 + 5.19949i −0.0886484 + 0.189229i
\(756\) −25.0382 10.0733i −0.910629 0.366362i
\(757\) 1.78772 + 20.4337i 0.0649756 + 0.742675i 0.956886 + 0.290463i \(0.0938093\pi\)
−0.891911 + 0.452212i \(0.850635\pi\)
\(758\) 4.55898 3.19223i 0.165589 0.115947i
\(759\) −17.1226 10.1418i −0.621510 0.368125i
\(760\) −0.421491 + 9.73768i −0.0152891 + 0.353223i
\(761\) 47.9556i 1.73839i −0.494470 0.869195i \(-0.664638\pi\)
0.494470 0.869195i \(-0.335362\pi\)
\(762\) 23.7201 1.80909i 0.859287 0.0655365i
\(763\) 17.5306 1.53373i 0.634650 0.0555247i
\(764\) 4.92800 + 1.79364i 0.178289 + 0.0648918i
\(765\) 2.38726 + 2.10309i 0.0863115 + 0.0760374i
\(766\) 5.95340 4.99549i 0.215105 0.180494i
\(767\) −10.6659 2.85791i −0.385122 0.103193i
\(768\) −1.66793 0.466906i −0.0601863 0.0168480i
\(769\) −19.2286 + 3.39052i −0.693401 + 0.122265i −0.509232 0.860629i \(-0.670070\pi\)
−0.184169 + 0.982895i \(0.558959\pi\)
\(770\) 13.4137 19.0845i 0.483396 0.687757i
\(771\) 15.2171 8.56089i 0.548030 0.308313i
\(772\) 5.98144 22.3230i 0.215277 0.803423i
\(773\) 0.151669 + 0.0132693i 0.00545516 + 0.000477265i 0.0898830 0.995952i \(-0.471351\pi\)
−0.0844278 + 0.996430i \(0.526906\pi\)
\(774\) −10.1375 8.89886i −0.364385 0.319863i
\(775\) 9.50995 25.8424i 0.341608 0.928286i
\(776\) −3.23709 + 3.85781i −0.116205 + 0.138487i
\(777\) −1.99850 26.2036i −0.0716959 0.940047i
\(778\) 4.76903 4.76903i 0.170978 0.170978i
\(779\) −15.8142 + 24.9416i −0.566602 + 0.893624i
\(780\) 0.980932 + 3.85970i 0.0351230 + 0.138200i
\(781\) −3.14574 + 17.8404i −0.112564 + 0.638380i
\(782\) −2.70274 + 0.236459i −0.0966498 + 0.00845576i
\(783\) −14.6200 34.3021i −0.522475 1.22586i
\(784\) 6.83256 + 18.7723i 0.244020 + 0.670440i
\(785\) 32.1977 26.9198i 1.14918 0.960807i
\(786\) −13.4811 0.150259i −0.480855 0.00535956i
\(787\) −0.748837 + 0.200650i −0.0266932 + 0.00715241i −0.272141 0.962257i \(-0.587732\pi\)
0.245448 + 0.969410i \(0.421065\pi\)
\(788\) 5.21784 7.45185i 0.185878 0.265461i
\(789\) −46.8412 17.6425i −1.66759 0.628089i
\(790\) 8.10570 13.9821i 0.288388 0.497460i
\(791\) −44.1472 + 25.4884i −1.56969 + 0.906262i
\(792\) 2.42415 + 5.51640i 0.0861384 + 0.196017i
\(793\) 3.27547 7.02427i 0.116315 0.249439i
\(794\) −18.8345 6.85522i −0.668413 0.243282i
\(795\) −5.00499 + 10.3809i −0.177509 + 0.368172i
\(796\) −3.60717 + 20.4573i −0.127853 + 0.725089i
\(797\) −13.1239 + 13.1239i −0.464871 + 0.464871i −0.900248 0.435377i \(-0.856615\pi\)
0.435377 + 0.900248i \(0.356615\pi\)
\(798\) 1.35806 + 39.1899i 0.0480749 + 1.38731i
\(799\) 3.79271i 0.134177i
\(800\) 4.10592 2.85332i 0.145166 0.100880i
\(801\) 19.7151 + 3.93129i 0.696597 + 0.138905i
\(802\) 0.472902 + 1.01414i 0.0166987 + 0.0358106i
\(803\) −5.67296 2.64535i −0.200194 0.0933522i
\(804\) 23.2519 3.83324i 0.820031 0.135188i
\(805\) −17.3093 + 64.1435i −0.610074 + 2.26076i
\(806\) 4.90424 + 2.83146i 0.172745 + 0.0997341i
\(807\) 33.7407 15.2781i 1.18773 0.537813i
\(808\) 3.86125 + 2.70368i 0.135838 + 0.0951151i
\(809\) 0.639555 1.10774i 0.0224856 0.0389461i −0.854564 0.519347i \(-0.826175\pi\)
0.877049 + 0.480401i \(0.159509\pi\)
\(810\) −0.932597 + 20.1030i −0.0327681 + 0.706347i
\(811\) −35.9259 + 30.1454i −1.26153 + 1.05855i −0.266011 + 0.963970i \(0.585706\pi\)
−0.995517 + 0.0945778i \(0.969850\pi\)
\(812\) −15.7518 + 33.7799i −0.552780 + 1.18544i
\(813\) 3.84438 38.9380i 0.134828 1.36562i
\(814\) −3.77141 + 4.49459i −0.132188 + 0.157535i
\(815\) 19.6948 + 3.50880i 0.689878 + 0.122908i
\(816\) 0.706785 + 0.418634i 0.0247424 + 0.0146551i
\(817\) −5.85341 + 18.7049i −0.204785 + 0.654401i
\(818\) −20.3742 20.3742i −0.712367 0.712367i
\(819\) 5.14292 + 15.1742i 0.179708 + 0.530230i
\(820\) 15.0945 1.29359i 0.527124 0.0451742i
\(821\) −3.32613 + 9.13847i −0.116083 + 0.318935i −0.984104 0.177592i \(-0.943169\pi\)
0.868021 + 0.496527i \(0.165392\pi\)
\(822\) −10.4516 + 7.14602i −0.364541 + 0.249246i
\(823\) 2.85713 32.6572i 0.0995934 1.13836i −0.767785 0.640708i \(-0.778641\pi\)
0.867378 0.497650i \(-0.165803\pi\)
\(824\) −3.66169 6.34223i −0.127561 0.220942i
\(825\) −16.7336 4.74841i −0.582588 0.165318i
\(826\) 9.68547 + 54.9290i 0.337001 + 1.91123i
\(827\) −16.7358 11.7185i −0.581961 0.407494i 0.245188 0.969475i \(-0.421150\pi\)
−0.827150 + 0.561982i \(0.810039\pi\)
\(828\) −11.8615 12.4025i −0.412216 0.431015i
\(829\) 31.4339 18.1484i 1.09174 0.630319i 0.157704 0.987486i \(-0.449591\pi\)
0.934040 + 0.357167i \(0.116257\pi\)
\(830\) −0.0664045 + 0.743789i −0.00230493 + 0.0258173i
\(831\) −6.58321 + 35.0465i −0.228369 + 1.21575i
\(832\) 0.434558 + 0.931913i 0.0150656 + 0.0323083i
\(833\) −0.825761 9.43849i −0.0286109 0.327024i
\(834\) 14.8234 + 12.7225i 0.513294 + 0.440546i
\(835\) −0.0740572 + 41.6977i −0.00256285 + 1.44301i
\(836\) 5.90083 6.46751i 0.204084 0.223683i
\(837\) 19.5475 + 20.9004i 0.675659 + 0.722424i
\(838\) −1.75732 2.50972i −0.0607057 0.0866967i
\(839\) −8.98348 7.53804i −0.310144 0.260242i 0.474407 0.880305i \(-0.342662\pi\)
−0.784552 + 0.620063i \(0.787107\pi\)
\(840\) 15.5756 12.7302i 0.537409 0.439232i
\(841\) −21.1389 + 7.69393i −0.728928 + 0.265308i
\(842\) 1.94037 22.1785i 0.0668694 0.764321i
\(843\) −7.20950 7.37202i −0.248308 0.253906i
\(844\) 11.2674 + 6.50526i 0.387841 + 0.223920i
\(845\) −15.3560 + 21.8480i −0.528263 + 0.751593i
\(846\) −18.7172 + 15.0075i −0.643509 + 0.515969i
\(847\) 34.9476 9.36417i 1.20081 0.321757i
\(848\) −0.770142 + 2.87421i −0.0264468 + 0.0987007i
\(849\) −17.1516 + 2.82756i −0.588640 + 0.0970415i
\(850\) −2.23121 + 0.803131i −0.0765299 + 0.0275472i
\(851\) 5.71540 15.7029i 0.195921 0.538290i
\(852\) −6.75957 + 14.0840i −0.231579 + 0.482509i
\(853\) −21.4226 30.5946i −0.733495 1.04754i −0.996569 0.0827634i \(-0.973625\pi\)
0.263075 0.964776i \(-0.415263\pi\)
\(854\) −39.1493 −1.33966
\(855\) 27.2533 10.5951i 0.932044 0.362346i
\(856\) −7.79212 −0.266329
\(857\) 14.7113 + 21.0099i 0.502529 + 0.717686i 0.987635 0.156770i \(-0.0501080\pi\)
−0.485106 + 0.874455i \(0.661219\pi\)
\(858\) 1.54780 3.22493i 0.0528410 0.110097i
\(859\) −17.2424 + 47.3730i −0.588302 + 1.61635i 0.185305 + 0.982681i \(0.440673\pi\)
−0.773607 + 0.633665i \(0.781550\pi\)
\(860\) 9.45400 3.42197i 0.322379 0.116688i
\(861\) 60.1394 9.91440i 2.04954 0.337882i
\(862\) 1.57829 5.89025i 0.0537567 0.200623i
\(863\) 5.05615 1.35479i 0.172113 0.0461176i −0.171733 0.985143i \(-0.554937\pi\)
0.343846 + 0.939026i \(0.388270\pi\)
\(864\) 0.730730 + 5.14451i 0.0248599 + 0.175020i
\(865\) −7.91443 45.3558i −0.269099 1.54214i
\(866\) 2.69813 + 1.55777i 0.0916864 + 0.0529351i
\(867\) 20.3149 + 20.7729i 0.689931 + 0.705484i
\(868\) 2.49307 28.4960i 0.0846204 0.967216i
\(869\) −13.6415 + 4.96511i −0.462757 + 0.168430i
\(870\) 27.6533 + 2.77984i 0.937535 + 0.0942453i
\(871\) −10.7170 8.99264i −0.363132 0.304704i
\(872\) −1.94333 2.77536i −0.0658094 0.0939855i
\(873\) 14.5025 + 4.23455i 0.490834 + 0.143318i
\(874\) −9.49264 + 23.0575i −0.321093 + 0.779931i
\(875\) −0.309404 + 58.0693i −0.0104598 + 1.96310i
\(876\) −4.09606 3.51553i −0.138393 0.118779i
\(877\) 0.123740 + 1.41436i 0.00417841 + 0.0477595i 0.997998 0.0632510i \(-0.0201469\pi\)
−0.993819 + 0.111010i \(0.964591\pi\)
\(878\) 4.50444 + 9.65980i 0.152017 + 0.326002i
\(879\) 9.58423 51.0228i 0.323268 1.72096i
\(880\) −4.47338 0.399377i −0.150798 0.0134630i
\(881\) 31.0031 17.8997i 1.04452 0.603055i 0.123411 0.992356i \(-0.460617\pi\)
0.921111 + 0.389301i \(0.127283\pi\)
\(882\) 43.3118 41.4227i 1.45838 1.39477i
\(883\) 8.17833 + 5.72653i 0.275223 + 0.192713i 0.703036 0.711154i \(-0.251827\pi\)
−0.427813 + 0.903867i \(0.640716\pi\)
\(884\) −0.0846830 0.480261i −0.00284820 0.0161529i
\(885\) 36.2845 20.3283i 1.21969 0.683329i
\(886\) 1.85685 + 3.21615i 0.0623820 + 0.108049i
\(887\) 0.573561 6.55584i 0.0192583 0.220123i −0.980467 0.196684i \(-0.936983\pi\)
0.999725 0.0234395i \(-0.00746172\pi\)
\(888\) −4.17673 + 2.85573i −0.140162 + 0.0958322i
\(889\) −24.3985 + 67.0344i −0.818301 + 2.24826i
\(890\) −9.65192 + 11.4613i −0.323533 + 0.384184i
\(891\) 12.2250 13.3159i 0.409554 0.446099i
\(892\) −18.2652 18.2652i −0.611563 0.611563i
\(893\) 30.9538 + 16.0290i 1.03583 + 0.536389i
\(894\) 5.39286 + 3.19423i 0.180364 + 0.106831i
\(895\) −12.3437 17.6955i −0.412605 0.591495i
\(896\) 3.33860 3.97879i 0.111535 0.132922i
\(897\) −1.00101 + 10.1388i −0.0334229 + 0.338525i
\(898\) 8.60404 18.4514i 0.287121 0.615732i
\(899\) 30.2747 25.4035i 1.00972 0.847255i
\(900\) −12.7922 7.83317i −0.426408 0.261106i
\(901\) 0.705620 1.22217i 0.0235076 0.0407164i
\(902\) −11.1471 7.80530i −0.371159 0.259888i
\(903\) 36.8488 16.6854i 1.22625 0.555257i
\(904\) 8.49973 + 4.90732i 0.282697 + 0.163215i
\(905\) 3.44702 + 0.930192i 0.114583 + 0.0309206i
\(906\) 4.38832 0.723446i 0.145792 0.0240349i
\(907\) 18.4600 + 8.60802i 0.612953 + 0.285825i 0.704198 0.710004i \(-0.251307\pi\)
−0.0912447 + 0.995828i \(0.529085\pi\)
\(908\) −8.53299 18.2991i −0.283177 0.607276i
\(909\) 2.76538 13.8681i 0.0917219 0.459977i
\(910\) −11.7570 2.09461i −0.389741 0.0694358i
\(911\) 20.1190i 0.666572i 0.942826 + 0.333286i \(0.108157\pi\)
−0.942826 + 0.333286i \(0.891843\pi\)
\(912\) 6.40369 3.99909i 0.212047 0.132423i
\(913\) 0.474295 0.474295i 0.0156969 0.0156969i
\(914\) 0.745172 4.22608i 0.0246481 0.139786i
\(915\) 9.62915 + 27.5587i 0.318330 + 0.911064i
\(916\) −20.2584 7.37347i −0.669358 0.243626i
\(917\) 17.0859 36.6408i 0.564226 1.20999i
\(918\) 0.296736 2.44645i 0.00979375 0.0807450i
\(919\) −7.70807 + 4.45025i −0.254266 + 0.146800i −0.621716 0.783243i \(-0.713564\pi\)
0.367450 + 0.930043i \(0.380231\pi\)
\(920\) 12.3614 3.28871i 0.407544 0.108426i
\(921\) −30.1545 11.3575i −0.993623 0.374242i
\(922\) −11.5906 + 16.5531i −0.381717 + 0.545148i
\(923\) 8.95822 2.40035i 0.294863 0.0790084i
\(924\) −18.0678 0.201382i −0.594388 0.00662498i
\(925\) 1.32467 14.5458i 0.0435550 0.478263i
\(926\) 6.02990 + 16.5670i 0.198155 + 0.544426i
\(927\) −12.9996 + 17.7115i −0.426961 + 0.581723i
\(928\) 7.14873 0.625433i 0.234669 0.0205308i
\(929\) −5.22812 + 29.6502i −0.171529 + 0.972790i 0.770545 + 0.637386i \(0.219984\pi\)
−0.942074 + 0.335405i \(0.891127\pi\)
\(930\) −20.6726 + 5.25389i −0.677883 + 0.172282i
\(931\) −80.5211 33.1501i −2.63897 1.08645i
\(932\) −2.14791 + 2.14791i −0.0703572 + 0.0703572i
\(933\) 4.29757 + 56.3479i 0.140696 + 1.84475i
\(934\) −20.8518 + 24.8502i −0.682290 + 0.813122i
\(935\) 2.00028 + 0.732068i 0.0654161 + 0.0239412i
\(936\) 2.03502 2.31828i 0.0665167 0.0757753i
\(937\) −31.2736 2.73609i −1.02166 0.0893840i −0.436007 0.899943i \(-0.643608\pi\)
−0.585657 + 0.810559i \(0.699163\pi\)
\(938\) −18.2900 + 68.2592i −0.597190 + 2.22874i
\(939\) 25.1363 14.1413i 0.820292 0.461483i
\(940\) −3.07384 17.6155i −0.100258 0.574554i
\(941\) −31.6445 + 5.57978i −1.03158 + 0.181896i −0.663717 0.747984i \(-0.731022\pi\)
−0.367865 + 0.929879i \(0.619911\pi\)
\(942\) −31.3053 8.76333i −1.01998 0.285525i
\(943\) 37.4370 + 10.0312i 1.21912 + 0.326661i
\(944\) 8.22635 6.90273i 0.267745 0.224665i
\(945\) −53.7623 27.4139i −1.74889 0.891776i
\(946\) −8.48644 3.08881i −0.275918 0.100426i
\(947\) 9.25565 0.809764i 0.300768 0.0263138i 0.0642271 0.997935i \(-0.479542\pi\)
0.236541 + 0.971622i \(0.423986\pi\)
\(948\) −12.4826 + 0.952024i −0.405414 + 0.0309203i
\(949\) 3.20449i 0.104022i
\(950\) −2.87501 + 21.6040i −0.0932776 + 0.700927i
\(951\) −23.5788 13.9659i −0.764595 0.452875i
\(952\) −2.01785 + 1.41291i −0.0653988 + 0.0457928i
\(953\) −0.264673 3.02523i −0.00857361 0.0979968i 0.990702 0.136049i \(-0.0434403\pi\)
−0.999276 + 0.0380519i \(0.987885\pi\)
\(954\) 8.82354 1.35379i 0.285673 0.0438306i
\(955\) 10.6190 + 4.97471i 0.343624 + 0.160978i
\(956\) −9.57181 11.4072i −0.309574 0.368936i
\(957\) −17.4546 17.8481i −0.564228 0.576947i
\(958\) −9.55579 35.6627i −0.308733 1.15221i
\(959\) −6.59288 37.3901i −0.212895 1.20739i
\(960\) −3.62199 1.37155i −0.116899 0.0442667i
\(961\) 0.334622 0.579583i 0.0107943 0.0186962i
\(962\) 2.90138 + 0.777423i 0.0935443 + 0.0250651i
\(963\) 9.40461 + 21.4011i 0.303059 + 0.689642i
\(964\) 3.21991 + 8.84663i 0.103706 + 0.284931i
\(965\) 17.7607 48.5287i 0.571736 1.56219i
\(966\) 48.5522 17.0612i 1.56214 0.548934i
\(967\) −48.4591 + 33.9314i −1.55834 + 1.09116i −0.602161 + 0.798374i \(0.705694\pi\)
−0.956178 + 0.292787i \(0.905417\pi\)
\(968\) −4.92562 4.92562i −0.158315 0.158315i
\(969\) −3.42449 + 1.04597i −0.110010 + 0.0336014i
\(970\) −7.97677 + 7.94848i −0.256119 + 0.255210i
\(971\) 21.2821 + 3.75260i 0.682974 + 0.120427i 0.504361 0.863493i \(-0.331728\pi\)
0.178613 + 0.983919i \(0.442839\pi\)
\(972\) 13.2475 8.21606i 0.424914 0.263530i
\(973\) −53.0903 + 24.7564i −1.70200 + 0.793654i
\(974\) −28.5219 + 10.3811i −0.913900 + 0.332632i
\(975\) 1.41727 + 8.79142i 0.0453889 + 0.281551i
\(976\) 3.76874 + 6.52765i 0.120634 + 0.208945i
\(977\) −7.18508 26.8151i −0.229871 0.857890i −0.980394 0.197046i \(-0.936865\pi\)
0.750523 0.660844i \(-0.229802\pi\)
\(978\) −6.39185 14.1160i −0.204389 0.451380i
\(979\) 13.2547 2.33716i 0.423622 0.0746960i
\(980\) 11.4848 + 43.1685i 0.366869 + 1.37897i
\(981\) −5.27707 + 8.68705i −0.168484 + 0.277356i
\(982\) −3.77970 0.330681i −0.120615 0.0105525i
\(983\) 16.7836 + 7.82631i 0.535313 + 0.249621i 0.671425 0.741073i \(-0.265683\pi\)
−0.136111 + 0.990694i \(0.543461\pi\)
\(984\) −7.44248 9.07307i −0.237257 0.289239i
\(985\) 13.1030 15.5593i 0.417495 0.495760i
\(986\) −3.35168 0.590992i −0.106739 0.0188210i
\(987\) −17.8443 69.6937i −0.567989 2.21837i
\(988\) −4.27749 1.33858i −0.136085 0.0425858i
\(989\) 25.7216 0.817900
\(990\) 4.30220 + 12.7682i 0.136733 + 0.405800i
\(991\) 25.4228 + 21.3322i 0.807580 + 0.677640i 0.950029 0.312162i \(-0.101053\pi\)
−0.142449 + 0.989802i \(0.545498\pi\)
\(992\) −4.99134 + 2.32750i −0.158475 + 0.0738982i
\(993\) −27.7004 40.5139i −0.879045 1.28567i
\(994\) −30.1123 35.8864i −0.955103 1.13825i
\(995\) −12.1017 + 44.8454i −0.383649 + 1.42169i
\(996\) 0.504126 0.283613i 0.0159738 0.00898663i
\(997\) 13.8152 19.7302i 0.437532 0.624860i −0.538464 0.842648i \(-0.680995\pi\)
0.975996 + 0.217788i \(0.0698842\pi\)
\(998\) 6.08316 8.68765i 0.192559 0.275003i
\(999\) 12.8843 + 8.02471i 0.407643 + 0.253891i
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 570.2.bi.a.17.8 480
3.2 odd 2 inner 570.2.bi.a.17.26 yes 480
5.3 odd 4 inner 570.2.bi.a.473.4 yes 480
15.8 even 4 inner 570.2.bi.a.473.37 yes 480
19.9 even 9 inner 570.2.bi.a.47.37 yes 480
57.47 odd 18 inner 570.2.bi.a.47.4 yes 480
95.28 odd 36 inner 570.2.bi.a.503.26 yes 480
285.218 even 36 inner 570.2.bi.a.503.8 yes 480
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.bi.a.17.8 480 1.1 even 1 trivial
570.2.bi.a.17.26 yes 480 3.2 odd 2 inner
570.2.bi.a.47.4 yes 480 57.47 odd 18 inner
570.2.bi.a.47.37 yes 480 19.9 even 9 inner
570.2.bi.a.473.4 yes 480 5.3 odd 4 inner
570.2.bi.a.473.37 yes 480 15.8 even 4 inner
570.2.bi.a.503.8 yes 480 285.218 even 36 inner
570.2.bi.a.503.26 yes 480 95.28 odd 36 inner