Properties

Label 151.2.k.a.21.2
Level $151$
Weight $2$
Character 151.21
Analytic conductor $1.206$
Analytic rank $0$
Dimension $480$
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] = [151,2,Mod(5,151)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(151, base_ring=CyclotomicField(150))
 
chi = DirichletCharacter(H, H._module([112]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("151.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 151 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 151.k (of order \(75\), degree \(40\), 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: \(1.20574107052\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(12\) over \(\Q(\zeta_{75})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{75}]$

Embedding invariants

Embedding label 21.2
Character \(\chi\) \(=\) 151.21
Dual form 151.2.k.a.36.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.26079 - 0.480545i) q^{2} +(1.74341 - 0.447630i) q^{3} +(3.05314 + 1.35934i) q^{4} +(0.0484799 - 2.31441i) q^{5} +(-4.15657 + 0.174212i) q^{6} +(1.45864 + 0.507951i) q^{7} +(-2.50951 - 1.82326i) q^{8} +(0.210168 - 0.115541i) q^{9} +O(q^{10})\) \(q+(-2.26079 - 0.480545i) q^{2} +(1.74341 - 0.447630i) q^{3} +(3.05314 + 1.35934i) q^{4} +(0.0484799 - 2.31441i) q^{5} +(-4.15657 + 0.174212i) q^{6} +(1.45864 + 0.507951i) q^{7} +(-2.50951 - 1.82326i) q^{8} +(0.210168 - 0.115541i) q^{9} +(-1.22178 + 5.20908i) q^{10} +(1.18858 - 1.21374i) q^{11} +(5.93134 + 1.00321i) q^{12} +(0.0277402 + 0.187856i) q^{13} +(-3.05357 - 1.84931i) q^{14} +(-0.951479 - 4.05665i) q^{15} +(0.324733 + 0.360653i) q^{16} +(-1.41789 - 1.22389i) q^{17} +(-0.530668 + 0.160218i) q^{18} +(4.34152 - 3.15430i) q^{19} +(3.29409 - 7.00030i) q^{20} +(2.77037 + 0.232634i) q^{21} +(-3.27038 + 2.17284i) q^{22} +(-0.826045 - 7.85929i) q^{23} +(-5.19124 - 2.05536i) q^{24} +(-0.358518 - 0.0150264i) q^{25} +(0.0275587 - 0.438033i) q^{26} +(-3.62164 + 3.40095i) q^{27} +(3.76293 + 3.53363i) q^{28} +(0.318774 + 5.06676i) q^{29} +(0.201687 + 9.62845i) q^{30} +(-4.23797 + 10.0817i) q^{31} +(2.54108 + 4.40128i) q^{32} +(1.52887 - 2.64808i) q^{33} +(2.61741 + 3.44831i) q^{34} +(1.24632 - 3.35125i) q^{35} +(0.798732 - 0.0670714i) q^{36} +(-1.12824 + 0.894231i) q^{37} +(-11.3310 + 5.04490i) q^{38} +(0.132452 + 0.315092i) q^{39} +(-4.34144 + 5.71963i) q^{40} +(4.55699 + 7.18066i) q^{41} +(-6.15141 - 1.85722i) q^{42} +(2.10569 - 0.733279i) q^{43} +(5.27879 - 2.09002i) q^{44} +(-0.257220 - 0.492017i) q^{45} +(-1.90923 + 18.1651i) q^{46} +(-0.254973 + 0.487719i) q^{47} +(0.727581 + 0.483404i) q^{48} +(-3.61625 - 2.86621i) q^{49} +(0.803312 + 0.206255i) q^{50} +(-3.01980 - 1.49904i) q^{51} +(-0.170666 + 0.611259i) q^{52} +(-1.00359 - 1.21313i) q^{53} +(9.82206 - 5.94845i) q^{54} +(-2.75146 - 2.80970i) q^{55} +(-2.73433 - 3.93418i) q^{56} +(6.15707 - 7.44262i) q^{57} +(1.71413 - 11.6080i) q^{58} +(-2.75844 + 8.48961i) q^{59} +(2.60939 - 13.6789i) q^{60} +(2.27475 + 8.14725i) q^{61} +(14.4259 - 20.7561i) q^{62} +(0.365248 - 0.0617771i) q^{63} +(-3.92976 - 12.0946i) q^{64} +(0.436120 - 0.0550948i) q^{65} +(-4.72897 + 5.25206i) q^{66} +(-0.471146 - 0.259014i) q^{67} +(-2.66532 - 5.66410i) q^{68} +(-4.95819 - 13.3322i) q^{69} +(-4.42809 + 6.97755i) q^{70} +(-10.0754 + 8.69683i) q^{71} +(-0.738081 - 0.0932413i) q^{72} +(-1.41674 - 7.42681i) q^{73} +(2.98042 - 1.47950i) q^{74} +(-0.631769 + 0.134287i) q^{75} +(17.5430 - 3.72889i) q^{76} +(2.35023 - 1.16666i) q^{77} +(-0.148031 - 0.776004i) q^{78} +(11.7193 + 1.48049i) q^{79} +(0.850441 - 0.734081i) q^{80} +(-5.17715 + 8.15788i) q^{81} +(-6.85174 - 18.4238i) q^{82} +(6.89105 + 14.6442i) q^{83} +(8.14207 + 4.47614i) q^{84} +(-2.90132 + 3.22224i) q^{85} +(-5.11289 + 0.645908i) q^{86} +(2.82379 + 8.69072i) q^{87} +(-5.19572 + 0.878791i) q^{88} +(2.98791 - 4.29904i) q^{89} +(0.345083 + 1.23595i) q^{90} +(-0.0549588 + 0.288104i) q^{91} +(8.16145 - 25.1184i) q^{92} +(-2.87561 + 19.4736i) q^{93} +(0.810810 - 0.980101i) q^{94} +(-7.08986 - 10.2010i) q^{95} +(6.40028 + 6.53575i) q^{96} +(15.1875 - 9.19788i) q^{97} +(6.79823 + 8.21764i) q^{98} +(0.109565 - 0.392419i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480 q - 45 q^{2} - 40 q^{3} + 15 q^{4} - 40 q^{5} - 60 q^{6} - 40 q^{7} - 50 q^{8} - 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 480 q - 45 q^{2} - 40 q^{3} + 15 q^{4} - 40 q^{5} - 60 q^{6} - 40 q^{7} - 50 q^{8} - 40 q^{9} - 10 q^{10} - 50 q^{11} - 65 q^{12} - 40 q^{13} - 65 q^{14} + 25 q^{16} - 20 q^{17} - 15 q^{18} - 30 q^{19} + 70 q^{20} - 40 q^{21} - 65 q^{23} + 80 q^{24} + 20 q^{25} - 65 q^{26} + 5 q^{27} - 110 q^{28} - 75 q^{29} - 135 q^{30} - 45 q^{31} + 10 q^{32} + 40 q^{33} + 20 q^{34} - 10 q^{36} - 60 q^{37} - 70 q^{38} + 25 q^{39} - 50 q^{41} + 50 q^{42} - 50 q^{43} - 30 q^{44} + 10 q^{45} - 85 q^{46} + 30 q^{47} + 175 q^{48} - 50 q^{49} + 10 q^{50} + 80 q^{51} - 145 q^{52} + 95 q^{53} + 10 q^{54} + 70 q^{55} + 140 q^{56} - 70 q^{57} + 240 q^{58} - 30 q^{59} - 60 q^{60} - 60 q^{61} + 10 q^{62} + 90 q^{63} - 160 q^{64} + 45 q^{65} - 55 q^{66} - 10 q^{67} + 10 q^{68} - 105 q^{69} + 75 q^{70} - 25 q^{71} + 310 q^{72} + 40 q^{73} + 170 q^{74} - 80 q^{75} - 15 q^{76} + 45 q^{77} - 80 q^{78} + 160 q^{79} - 85 q^{80} + 160 q^{81} - 50 q^{82} - 5 q^{83} + 70 q^{84} - 85 q^{85} + 150 q^{86} + 10 q^{87} + 95 q^{88} - 50 q^{89} - 90 q^{90} + 270 q^{91} + 90 q^{92} + 100 q^{93} - 35 q^{94} + 60 q^{95} + 255 q^{96} + 210 q^{97} - 30 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/151\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{74}{75}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.26079 0.480545i −1.59862 0.339796i −0.679467 0.733706i \(-0.737789\pi\)
−0.919149 + 0.393909i \(0.871122\pi\)
\(3\) 1.74341 0.447630i 1.00656 0.258439i 0.290795 0.956785i \(-0.406080\pi\)
0.715760 + 0.698346i \(0.246080\pi\)
\(4\) 3.05314 + 1.35934i 1.52657 + 0.679672i
\(5\) 0.0484799 2.31441i 0.0216809 1.03503i −0.844576 0.535436i \(-0.820147\pi\)
0.866257 0.499599i \(-0.166519\pi\)
\(6\) −4.15657 + 0.174212i −1.69691 + 0.0711217i
\(7\) 1.45864 + 0.507951i 0.551312 + 0.191987i 0.590201 0.807256i \(-0.299048\pi\)
−0.0388887 + 0.999244i \(0.512382\pi\)
\(8\) −2.50951 1.82326i −0.887245 0.644621i
\(9\) 0.210168 0.115541i 0.0700561 0.0385137i
\(10\) −1.22178 + 5.20908i −0.386360 + 1.64726i
\(11\) 1.18858 1.21374i 0.358371 0.365956i −0.511459 0.859307i \(-0.670895\pi\)
0.869830 + 0.493351i \(0.164228\pi\)
\(12\) 5.93134 + 1.00321i 1.71223 + 0.289602i
\(13\) 0.0277402 + 0.187856i 0.00769374 + 0.0521019i 0.992776 0.119981i \(-0.0382835\pi\)
−0.985082 + 0.172083i \(0.944950\pi\)
\(14\) −3.05357 1.84931i −0.816100 0.494248i
\(15\) −0.951479 4.05665i −0.245671 1.04742i
\(16\) 0.324733 + 0.360653i 0.0811833 + 0.0901632i
\(17\) −1.41789 1.22389i −0.343889 0.296837i 0.464397 0.885627i \(-0.346271\pi\)
−0.808286 + 0.588790i \(0.799604\pi\)
\(18\) −0.530668 + 0.160218i −0.125080 + 0.0377638i
\(19\) 4.34152 3.15430i 0.996014 0.723646i 0.0347840 0.999395i \(-0.488926\pi\)
0.961230 + 0.275748i \(0.0889257\pi\)
\(20\) 3.29409 7.00030i 0.736581 1.56531i
\(21\) 2.77037 + 0.232634i 0.604543 + 0.0507649i
\(22\) −3.27038 + 2.17284i −0.697248 + 0.463250i
\(23\) −0.826045 7.85929i −0.172242 1.63878i −0.649750 0.760148i \(-0.725126\pi\)
0.477507 0.878628i \(-0.341540\pi\)
\(24\) −5.19124 2.05536i −1.05966 0.419548i
\(25\) −0.358518 0.0150264i −0.0717036 0.00300527i
\(26\) 0.0275587 0.438033i 0.00540470 0.0859053i
\(27\) −3.62164 + 3.40095i −0.696985 + 0.654513i
\(28\) 3.76293 + 3.53363i 0.711127 + 0.667793i
\(29\) 0.318774 + 5.06676i 0.0591948 + 0.940874i 0.909794 + 0.415060i \(0.136239\pi\)
−0.850599 + 0.525814i \(0.823761\pi\)
\(30\) 0.201687 + 9.62845i 0.0368229 + 1.75791i
\(31\) −4.23797 + 10.0817i −0.761162 + 1.81073i −0.206963 + 0.978349i \(0.566358\pi\)
−0.554199 + 0.832384i \(0.686975\pi\)
\(32\) 2.54108 + 4.40128i 0.449204 + 0.778044i
\(33\) 1.52887 2.64808i 0.266142 0.460972i
\(34\) 2.61741 + 3.44831i 0.448882 + 0.591380i
\(35\) 1.24632 3.35125i 0.210666 0.566465i
\(36\) 0.798732 0.0670714i 0.133122 0.0111786i
\(37\) −1.12824 + 0.894231i −0.185481 + 0.147011i −0.709524 0.704681i \(-0.751090\pi\)
0.524043 + 0.851692i \(0.324423\pi\)
\(38\) −11.3310 + 5.04490i −1.83814 + 0.818391i
\(39\) 0.132452 + 0.315092i 0.0212094 + 0.0504551i
\(40\) −4.34144 + 5.71963i −0.686442 + 0.904354i
\(41\) 4.55699 + 7.18066i 0.711682 + 1.12143i 0.987100 + 0.160106i \(0.0511837\pi\)
−0.275418 + 0.961325i \(0.588816\pi\)
\(42\) −6.15141 1.85722i −0.949183 0.286575i
\(43\) 2.10569 0.733279i 0.321115 0.111824i −0.163521 0.986540i \(-0.552285\pi\)
0.484636 + 0.874716i \(0.338952\pi\)
\(44\) 5.27879 2.09002i 0.795807 0.315082i
\(45\) −0.257220 0.492017i −0.0383441 0.0733455i
\(46\) −1.90923 + 18.1651i −0.281501 + 2.67830i
\(47\) −0.254973 + 0.487719i −0.0371917 + 0.0711411i −0.904085 0.427352i \(-0.859446\pi\)
0.866894 + 0.498493i \(0.166113\pi\)
\(48\) 0.727581 + 0.483404i 0.105017 + 0.0697733i
\(49\) −3.61625 2.86621i −0.516607 0.409458i
\(50\) 0.803312 + 0.206255i 0.113605 + 0.0291689i
\(51\) −3.01980 1.49904i −0.422857 0.209908i
\(52\) −0.170666 + 0.611259i −0.0236672 + 0.0847663i
\(53\) −1.00359 1.21313i −0.137853 0.166636i 0.697069 0.717004i \(-0.254487\pi\)
−0.834922 + 0.550368i \(0.814487\pi\)
\(54\) 9.82206 5.94845i 1.33661 0.809482i
\(55\) −2.75146 2.80970i −0.371007 0.378860i
\(56\) −2.73433 3.93418i −0.365390 0.525728i
\(57\) 6.15707 7.44262i 0.815524 0.985800i
\(58\) 1.71413 11.6080i 0.225076 1.52421i
\(59\) −2.75844 + 8.48961i −0.359119 + 1.10525i 0.594464 + 0.804122i \(0.297364\pi\)
−0.953583 + 0.301131i \(0.902636\pi\)
\(60\) 2.60939 13.6789i 0.336871 1.76594i
\(61\) 2.27475 + 8.14725i 0.291252 + 1.04315i 0.955344 + 0.295497i \(0.0954852\pi\)
−0.664091 + 0.747651i \(0.731181\pi\)
\(62\) 14.4259 20.7561i 1.83209 2.63603i
\(63\) 0.365248 0.0617771i 0.0460169 0.00778318i
\(64\) −3.92976 12.0946i −0.491220 1.51182i
\(65\) 0.436120 0.0550948i 0.0540941 0.00683367i
\(66\) −4.72897 + 5.25206i −0.582096 + 0.646484i
\(67\) −0.471146 0.259014i −0.0575596 0.0316437i 0.452714 0.891656i \(-0.350456\pi\)
−0.510274 + 0.860012i \(0.670456\pi\)
\(68\) −2.66532 5.66410i −0.323218 0.686873i
\(69\) −4.95819 13.3322i −0.596896 1.60500i
\(70\) −4.42809 + 6.97755i −0.529258 + 0.833976i
\(71\) −10.0754 + 8.69683i −1.19573 + 1.03212i −0.197066 + 0.980390i \(0.563141\pi\)
−0.998661 + 0.0517331i \(0.983525\pi\)
\(72\) −0.738081 0.0932413i −0.0869837 0.0109886i
\(73\) −1.41674 7.42681i −0.165817 0.869242i −0.963813 0.266580i \(-0.914107\pi\)
0.797996 0.602663i \(-0.205893\pi\)
\(74\) 2.98042 1.47950i 0.346467 0.171988i
\(75\) −0.631769 + 0.134287i −0.0729504 + 0.0155061i
\(76\) 17.5430 3.72889i 2.01232 0.427733i
\(77\) 2.35023 1.16666i 0.267833 0.132953i
\(78\) −0.148031 0.776004i −0.0167612 0.0878652i
\(79\) 11.7193 + 1.48049i 1.31852 + 0.166568i 0.752920 0.658112i \(-0.228645\pi\)
0.565600 + 0.824680i \(0.308645\pi\)
\(80\) 0.850441 0.734081i 0.0950822 0.0820727i
\(81\) −5.17715 + 8.15788i −0.575239 + 0.906431i
\(82\) −6.85174 18.4238i −0.756648 2.03457i
\(83\) 6.89105 + 14.6442i 0.756391 + 1.60741i 0.793849 + 0.608115i \(0.208074\pi\)
−0.0374575 + 0.999298i \(0.511926\pi\)
\(84\) 8.14207 + 4.47614i 0.888373 + 0.488387i
\(85\) −2.90132 + 3.22224i −0.314692 + 0.349501i
\(86\) −5.11289 + 0.645908i −0.551337 + 0.0696501i
\(87\) 2.82379 + 8.69072i 0.302742 + 0.931743i
\(88\) −5.19572 + 0.878791i −0.553866 + 0.0936794i
\(89\) 2.98791 4.29904i 0.316718 0.455698i −0.630546 0.776152i \(-0.717169\pi\)
0.947264 + 0.320454i \(0.103836\pi\)
\(90\) 0.345083 + 1.23595i 0.0363750 + 0.130281i
\(91\) −0.0549588 + 0.288104i −0.00576125 + 0.0302015i
\(92\) 8.16145 25.1184i 0.850890 2.61877i
\(93\) −2.87561 + 19.4736i −0.298187 + 2.01932i
\(94\) 0.810810 0.980101i 0.0836287 0.101090i
\(95\) −7.08986 10.2010i −0.727405 1.04660i
\(96\) 6.40028 + 6.53575i 0.653226 + 0.667052i
\(97\) 15.1875 9.19788i 1.54206 0.933904i 0.546735 0.837306i \(-0.315871\pi\)
0.995324 0.0965976i \(-0.0307960\pi\)
\(98\) 6.79823 + 8.21764i 0.686725 + 0.830107i
\(99\) 0.109565 0.392419i 0.0110117 0.0394396i
\(100\) −1.07418 0.533227i −0.107418 0.0533227i
\(101\) −8.39501 2.15547i −0.835334 0.214477i −0.193287 0.981142i \(-0.561915\pi\)
−0.642048 + 0.766665i \(0.721915\pi\)
\(102\) 6.10677 + 4.84017i 0.604660 + 0.479248i
\(103\) −9.08116 6.03351i −0.894793 0.594499i 0.0193850 0.999812i \(-0.493829\pi\)
−0.914178 + 0.405313i \(0.867163\pi\)
\(104\) 0.272897 0.522004i 0.0267598 0.0511867i
\(105\) 0.672717 6.40048i 0.0656505 0.624623i
\(106\) 1.68593 + 3.22489i 0.163752 + 0.313229i
\(107\) −12.4542 + 4.93096i −1.20399 + 0.476694i −0.882542 0.470233i \(-0.844170\pi\)
−0.321449 + 0.946927i \(0.604170\pi\)
\(108\) −15.6804 + 5.46050i −1.50885 + 0.525437i
\(109\) 3.66624 + 1.10690i 0.351163 + 0.106022i 0.459710 0.888069i \(-0.347953\pi\)
−0.108548 + 0.994091i \(0.534620\pi\)
\(110\) 4.87028 + 7.67434i 0.464363 + 0.731719i
\(111\) −1.56669 + 2.06404i −0.148704 + 0.195910i
\(112\) 0.290474 + 0.691010i 0.0274472 + 0.0652943i
\(113\) 7.92619 3.52897i 0.745634 0.331977i 0.00149153 0.999999i \(-0.499525\pi\)
0.744142 + 0.668021i \(0.232859\pi\)
\(114\) −17.4963 + 13.8674i −1.63868 + 1.29880i
\(115\) −18.2297 + 1.53079i −1.69992 + 0.142747i
\(116\) −5.91421 + 15.9028i −0.549121 + 1.47654i
\(117\) 0.0275352 + 0.0362763i 0.00254563 + 0.00335374i
\(118\) 10.3159 17.8676i 0.949654 1.64485i
\(119\) −1.44651 2.50542i −0.132601 0.229672i
\(120\) −5.00860 + 11.9150i −0.457221 + 1.08769i
\(121\) 0.169929 + 8.11233i 0.0154481 + 0.737485i
\(122\) −1.22761 19.5123i −0.111143 1.76656i
\(123\) 11.1590 + 10.4790i 1.00617 + 0.944856i
\(124\) −26.6436 + 25.0200i −2.39267 + 2.24687i
\(125\) 0.674616 10.7227i 0.0603395 0.959068i
\(126\) −0.855434 0.0358533i −0.0762081 0.00319407i
\(127\) −12.9843 5.14084i −1.15217 0.456176i −0.287135 0.957890i \(-0.592703\pi\)
−0.865033 + 0.501715i \(0.832703\pi\)
\(128\) 2.00991 + 19.1230i 0.177652 + 1.69025i
\(129\) 3.34283 2.22097i 0.294320 0.195546i
\(130\) −1.01245 0.0850178i −0.0887977 0.00745656i
\(131\) 3.72095 7.90742i 0.325101 0.690875i −0.673742 0.738967i \(-0.735314\pi\)
0.998843 + 0.0480920i \(0.0153141\pi\)
\(132\) 8.26751 6.00670i 0.719594 0.522816i
\(133\) 7.93493 2.39570i 0.688046 0.207733i
\(134\) 0.940691 + 0.811983i 0.0812633 + 0.0701446i
\(135\) 7.69560 + 8.54683i 0.662332 + 0.735594i
\(136\) 1.32673 + 5.65655i 0.113766 + 0.485045i
\(137\) 3.31748 + 2.00914i 0.283432 + 0.171652i 0.652584 0.757717i \(-0.273685\pi\)
−0.369152 + 0.929369i \(0.620352\pi\)
\(138\) 4.80270 + 32.5238i 0.408833 + 2.76861i
\(139\) −5.58860 0.945240i −0.474019 0.0801742i −0.0751302 0.997174i \(-0.523937\pi\)
−0.398888 + 0.916999i \(0.630604\pi\)
\(140\) 8.36068 8.53765i 0.706607 0.721563i
\(141\) −0.226204 + 0.964425i −0.0190498 + 0.0812192i
\(142\) 26.9575 14.8200i 2.26222 1.24367i
\(143\) 0.260980 + 0.189613i 0.0218242 + 0.0158562i
\(144\) 0.109919 + 0.0382778i 0.00915991 + 0.00318982i
\(145\) 11.7420 0.492136i 0.975120 0.0408696i
\(146\) −0.365970 + 17.4712i −0.0302879 + 1.44593i
\(147\) −7.58759 3.37821i −0.625814 0.278630i
\(148\) −4.66024 + 1.19654i −0.383069 + 0.0983554i
\(149\) −7.65835 1.62783i −0.627396 0.133357i −0.116769 0.993159i \(-0.537254\pi\)
−0.510628 + 0.859802i \(0.670587\pi\)
\(150\) 1.49282 0.121889
\(151\) 0.437057 12.2804i 0.0355672 0.999367i
\(152\) −16.6462 −1.35019
\(153\) −0.439405 0.0933983i −0.0355238 0.00755081i
\(154\) −5.87399 + 1.50818i −0.473339 + 0.121533i
\(155\) 23.1278 + 10.2972i 1.85767 + 0.827087i
\(156\) −0.0239229 + 1.14207i −0.00191536 + 0.0914385i
\(157\) −4.66525 + 0.195532i −0.372328 + 0.0156052i −0.227306 0.973823i \(-0.572992\pi\)
−0.145022 + 0.989428i \(0.546325\pi\)
\(158\) −25.7833 8.97869i −2.05121 0.714307i
\(159\) −2.29269 1.66574i −0.181822 0.132102i
\(160\) 10.3096 5.66772i 0.815042 0.448073i
\(161\) 2.78723 11.8834i 0.219665 0.936546i
\(162\) 15.6246 15.9554i 1.22759 1.25357i
\(163\) −11.1076 1.87870i −0.870011 0.147151i −0.285344 0.958425i \(-0.592108\pi\)
−0.584667 + 0.811274i \(0.698775\pi\)
\(164\) 4.15211 + 28.1180i 0.324225 + 2.19565i
\(165\) −6.05463 3.66681i −0.471352 0.285461i
\(166\) −8.54198 36.4189i −0.662986 2.82666i
\(167\) −10.3565 11.5021i −0.801410 0.890056i 0.194454 0.980912i \(-0.437707\pi\)
−0.995864 + 0.0908554i \(0.971040\pi\)
\(168\) −6.52810 5.63491i −0.503654 0.434743i
\(169\) 12.4106 3.74699i 0.954664 0.288230i
\(170\) 8.10768 5.89058i 0.621831 0.451787i
\(171\) 0.548000 1.16456i 0.0419066 0.0890560i
\(172\) 7.42574 + 0.623557i 0.566207 + 0.0475458i
\(173\) 11.3798 7.56074i 0.865192 0.574832i −0.0403035 0.999187i \(-0.512832\pi\)
0.905496 + 0.424355i \(0.139499\pi\)
\(174\) −2.20769 21.0048i −0.167365 1.59237i
\(175\) −0.515315 0.204027i −0.0389541 0.0154230i
\(176\) 0.823710 + 0.0345237i 0.0620895 + 0.00260232i
\(177\) −1.00887 + 16.0356i −0.0758316 + 1.20531i
\(178\) −8.82091 + 8.28339i −0.661155 + 0.620866i
\(179\) 7.53526 + 7.07608i 0.563212 + 0.528891i 0.913012 0.407933i \(-0.133750\pi\)
−0.349800 + 0.936824i \(0.613750\pi\)
\(180\) −0.116508 1.85184i −0.00868400 0.138028i
\(181\) −0.0850994 4.06260i −0.00632539 0.301971i −0.991477 0.130283i \(-0.958411\pi\)
0.985151 0.171688i \(-0.0549220\pi\)
\(182\) 0.262697 0.624931i 0.0194724 0.0463230i
\(183\) 7.61277 + 13.1857i 0.562752 + 0.974716i
\(184\) −12.2566 + 21.2291i −0.903569 + 1.56503i
\(185\) 2.01492 + 2.65456i 0.148140 + 0.195167i
\(186\) 15.8591 42.6437i 1.16284 3.12679i
\(187\) −3.17076 + 0.266256i −0.231869 + 0.0194706i
\(188\) −1.44145 + 1.14248i −0.105128 + 0.0833236i
\(189\) −7.01017 + 3.12113i −0.509915 + 0.227029i
\(190\) 11.1266 + 26.4692i 0.807211 + 1.92028i
\(191\) −11.6511 + 15.3498i −0.843045 + 1.11067i 0.149497 + 0.988762i \(0.452235\pi\)
−0.992541 + 0.121908i \(0.961099\pi\)
\(192\) −12.2651 19.3266i −0.885154 1.39478i
\(193\) −2.07892 0.627662i −0.149644 0.0451801i 0.213326 0.976981i \(-0.431570\pi\)
−0.362969 + 0.931801i \(0.618237\pi\)
\(194\) −38.7557 + 13.4962i −2.78250 + 0.968968i
\(195\) 0.735672 0.291273i 0.0526826 0.0208585i
\(196\) −7.14475 13.6666i −0.510339 0.976189i
\(197\) −1.97102 + 18.7530i −0.140429 + 1.33609i 0.666526 + 0.745482i \(0.267781\pi\)
−0.806955 + 0.590613i \(0.798886\pi\)
\(198\) −0.436279 + 0.834525i −0.0310050 + 0.0593071i
\(199\) −1.37318 0.912339i −0.0973422 0.0646740i 0.503775 0.863835i \(-0.331944\pi\)
−0.601117 + 0.799161i \(0.705277\pi\)
\(200\) 0.872307 + 0.691382i 0.0616814 + 0.0488881i
\(201\) −0.937340 0.240668i −0.0661149 0.0169754i
\(202\) 17.9435 + 8.90723i 1.26250 + 0.626711i
\(203\) −2.10869 + 7.55248i −0.148001 + 0.530080i
\(204\) −7.18216 8.68173i −0.502851 0.607843i
\(205\) 16.8399 10.1986i 1.17615 0.712302i
\(206\) 17.6312 + 18.0044i 1.22842 + 1.25442i
\(207\) −1.08168 1.55633i −0.0751819 0.108173i
\(208\) −0.0587427 + 0.0710077i −0.00407307 + 0.00492350i
\(209\) 1.33175 9.01862i 0.0921193 0.623831i
\(210\) −4.59659 + 14.1468i −0.317195 + 0.976224i
\(211\) 3.53881 18.5511i 0.243622 1.27711i −0.624604 0.780942i \(-0.714739\pi\)
0.868226 0.496169i \(-0.165261\pi\)
\(212\) −1.41503 5.06807i −0.0971847 0.348076i
\(213\) −13.6725 + 19.6721i −0.936824 + 1.34791i
\(214\) 30.5258 5.16305i 2.08670 0.352939i
\(215\) −1.59502 4.90898i −0.108780 0.334789i
\(216\) 15.2894 1.93150i 1.04031 0.131422i
\(217\) −11.3027 + 12.5529i −0.767276 + 0.852146i
\(218\) −7.75667 4.26427i −0.525348 0.288813i
\(219\) −5.79441 12.3138i −0.391550 0.832087i
\(220\) −4.58124 12.3186i −0.308867 0.830519i
\(221\) 0.190582 0.300310i 0.0128200 0.0202010i
\(222\) 4.53382 3.91349i 0.304290 0.262656i
\(223\) −22.3989 2.82964i −1.49994 0.189487i −0.667921 0.744232i \(-0.732816\pi\)
−0.832020 + 0.554745i \(0.812816\pi\)
\(224\) 1.47088 + 7.71061i 0.0982771 + 0.515187i
\(225\) −0.0770853 + 0.0382655i −0.00513902 + 0.00255103i
\(226\) −19.6152 + 4.16935i −1.30479 + 0.277341i
\(227\) 2.08517 0.443217i 0.138398 0.0294174i −0.138192 0.990405i \(-0.544129\pi\)
0.276590 + 0.960988i \(0.410796\pi\)
\(228\) 28.9155 14.3538i 1.91497 0.950601i
\(229\) −0.0200747 0.105235i −0.00132657 0.00695413i 0.981618 0.190857i \(-0.0611267\pi\)
−0.982944 + 0.183903i \(0.941127\pi\)
\(230\) 41.9489 + 5.29938i 2.76603 + 0.349431i
\(231\) 3.57516 3.08600i 0.235228 0.203044i
\(232\) 8.43808 13.2963i 0.553987 0.872944i
\(233\) −0.00502626 0.0135152i −0.000329281 0.000885410i 0.937117 0.349015i \(-0.113484\pi\)
−0.937447 + 0.348129i \(0.886817\pi\)
\(234\) −0.0448188 0.0952447i −0.00292990 0.00622634i
\(235\) 1.11642 + 0.613756i 0.0728271 + 0.0400371i
\(236\) −19.9622 + 22.1703i −1.29943 + 1.44316i
\(237\) 21.0941 2.66481i 1.37021 0.173098i
\(238\) 2.06627 + 6.35934i 0.133937 + 0.412215i
\(239\) −2.73150 + 0.461998i −0.176686 + 0.0298842i −0.254441 0.967088i \(-0.581891\pi\)
0.0777551 + 0.996972i \(0.475225\pi\)
\(240\) 1.15407 1.66048i 0.0744946 0.107184i
\(241\) 4.83209 + 17.3066i 0.311262 + 1.11482i 0.941111 + 0.338098i \(0.109784\pi\)
−0.629848 + 0.776718i \(0.716883\pi\)
\(242\) 3.51417 18.4219i 0.225899 1.18420i
\(243\) −0.768404 + 2.36491i −0.0492932 + 0.151709i
\(244\) −4.12978 + 27.9668i −0.264382 + 1.79039i
\(245\) −6.80888 + 8.23053i −0.435004 + 0.525829i
\(246\) −20.1924 29.0530i −1.28742 1.85235i
\(247\) 0.712989 + 0.728081i 0.0453664 + 0.0463267i
\(248\) 29.0169 17.5733i 1.84257 1.11590i
\(249\) 18.5691 + 22.4462i 1.17677 + 1.42247i
\(250\) −6.67790 + 23.9176i −0.422348 + 1.51268i
\(251\) −12.1953 6.05379i −0.769760 0.382112i 0.0166150 0.999862i \(-0.494711\pi\)
−0.786375 + 0.617750i \(0.788044\pi\)
\(252\) 1.19913 + 0.307884i 0.0755380 + 0.0193949i
\(253\) −10.5210 8.33880i −0.661447 0.524256i
\(254\) 26.8843 + 17.8619i 1.68687 + 1.12075i
\(255\) −3.61580 + 6.91638i −0.226430 + 0.433121i
\(256\) 1.98691 18.9042i 0.124182 1.18151i
\(257\) −12.2211 23.3769i −0.762333 1.45821i −0.884916 0.465751i \(-0.845784\pi\)
0.122582 0.992458i \(-0.460882\pi\)
\(258\) −8.62471 + 3.41476i −0.536951 + 0.212594i
\(259\) −2.09991 + 0.731268i −0.130482 + 0.0454388i
\(260\) 1.40643 + 0.424626i 0.0872229 + 0.0263342i
\(261\) 0.652415 + 1.02804i 0.0403835 + 0.0636341i
\(262\) −12.2121 + 16.0889i −0.754469 + 0.993976i
\(263\) −3.02151 7.18789i −0.186314 0.443224i 0.801672 0.597764i \(-0.203944\pi\)
−0.987987 + 0.154540i \(0.950611\pi\)
\(264\) −8.66487 + 3.85785i −0.533286 + 0.237434i
\(265\) −2.85633 + 2.26390i −0.175463 + 0.139070i
\(266\) −19.0904 + 1.60307i −1.17051 + 0.0982903i
\(267\) 3.28476 8.83245i 0.201024 0.540537i
\(268\) −1.08638 1.43125i −0.0663613 0.0874278i
\(269\) 8.43084 14.6026i 0.514037 0.890338i −0.485830 0.874053i \(-0.661483\pi\)
0.999867 0.0162852i \(-0.00518398\pi\)
\(270\) −13.2910 23.0206i −0.808863 1.40099i
\(271\) −5.76742 + 13.7202i −0.350346 + 0.833440i 0.647126 + 0.762383i \(0.275971\pi\)
−0.997472 + 0.0710572i \(0.977363\pi\)
\(272\) −0.0190367 0.908803i −0.00115427 0.0551043i
\(273\) 0.0331487 + 0.526883i 0.00200625 + 0.0318884i
\(274\) −6.53463 6.13643i −0.394772 0.370715i
\(275\) −0.444366 + 0.417287i −0.0267963 + 0.0251634i
\(276\) 2.98497 47.4448i 0.179674 2.85584i
\(277\) −14.9652 0.627228i −0.899173 0.0376865i −0.412190 0.911098i \(-0.635236\pi\)
−0.486983 + 0.873412i \(0.661903\pi\)
\(278\) 12.1804 + 4.82256i 0.730531 + 0.289238i
\(279\) 0.274167 + 2.60852i 0.0164139 + 0.156168i
\(280\) −9.23787 + 6.13762i −0.552068 + 0.366793i
\(281\) 30.4554 + 2.55741i 1.81681 + 0.152562i 0.942805 0.333346i \(-0.108178\pi\)
0.874010 + 0.485908i \(0.161511\pi\)
\(282\) 0.974848 2.07166i 0.0580513 0.123365i
\(283\) 25.2408 18.3385i 1.50041 1.09011i 0.530196 0.847875i \(-0.322118\pi\)
0.970217 0.242239i \(-0.0778816\pi\)
\(284\) −42.5834 + 12.8567i −2.52686 + 0.762905i
\(285\) −16.9268 14.6108i −1.00266 0.865469i
\(286\) −0.498902 0.554086i −0.0295007 0.0327638i
\(287\) 2.99956 + 12.7887i 0.177058 + 0.754893i
\(288\) 1.04258 + 0.631411i 0.0614348 + 0.0372062i
\(289\) −1.97091 13.3470i −0.115936 0.785115i
\(290\) −26.7826 4.52994i −1.57273 0.266007i
\(291\) 22.3607 22.8340i 1.31081 1.33855i
\(292\) 5.77009 24.6009i 0.337669 1.43966i
\(293\) 15.0050 8.24909i 0.876604 0.481917i 0.0211384 0.999777i \(-0.493271\pi\)
0.855466 + 0.517859i \(0.173271\pi\)
\(294\) 15.5305 + 11.2836i 0.905759 + 0.658072i
\(295\) 19.5147 + 6.79574i 1.13619 + 0.395663i
\(296\) 4.46175 0.187003i 0.259334 0.0108693i
\(297\) −0.176751 + 8.43803i −0.0102562 + 0.489624i
\(298\) 16.5316 + 7.36036i 0.957652 + 0.426374i
\(299\) 1.45350 0.373196i 0.0840582 0.0215825i
\(300\) −2.11142 0.448795i −0.121903 0.0259112i
\(301\) 3.44390 0.198503
\(302\) −6.88939 + 27.5534i −0.396440 + 1.58552i
\(303\) −15.6008 −0.896240
\(304\) 2.54745 + 0.541476i 0.146106 + 0.0310558i
\(305\) 18.9663 4.86973i 1.08601 0.278840i
\(306\) 0.948517 + 0.422307i 0.0542231 + 0.0241417i
\(307\) −0.372397 + 17.7781i −0.0212538 + 1.01465i 0.850874 + 0.525370i \(0.176073\pi\)
−0.872128 + 0.489278i \(0.837260\pi\)
\(308\) 8.76145 0.367214i 0.499230 0.0209239i
\(309\) −18.5329 6.45384i −1.05430 0.367146i
\(310\) −47.3387 34.3936i −2.68866 1.95342i
\(311\) 7.69893 4.23252i 0.436566 0.240004i −0.248285 0.968687i \(-0.579867\pi\)
0.684852 + 0.728683i \(0.259867\pi\)
\(312\) 0.242105 1.03222i 0.0137065 0.0584381i
\(313\) 7.79277 7.95771i 0.440473 0.449797i −0.457917 0.888995i \(-0.651404\pi\)
0.898390 + 0.439199i \(0.144738\pi\)
\(314\) 10.6411 + 1.79981i 0.600512 + 0.101569i
\(315\) −0.125270 0.848328i −0.00705817 0.0477979i
\(316\) 33.7680 + 20.4506i 1.89960 + 1.15044i
\(317\) −2.22322 9.47873i −0.124868 0.532379i −0.998916 0.0465394i \(-0.985181\pi\)
0.874048 0.485839i \(-0.161486\pi\)
\(318\) 4.38283 + 4.86762i 0.245777 + 0.272963i
\(319\) 6.52861 + 5.63535i 0.365532 + 0.315519i
\(320\) −28.1823 + 8.50873i −1.57544 + 0.475652i
\(321\) −19.5054 + 14.1715i −1.08869 + 0.790978i
\(322\) −12.0119 + 25.5265i −0.669395 + 1.42254i
\(323\) −10.0163 0.841093i −0.557322 0.0467997i
\(324\) −26.8959 + 17.8696i −1.49422 + 0.992755i
\(325\) −0.00712256 0.0677666i −0.000395089 0.00375902i
\(326\) 24.2090 + 9.58502i 1.34081 + 0.530865i
\(327\) 6.88723 + 0.288661i 0.380865 + 0.0159630i
\(328\) 1.65645 26.3285i 0.0914622 1.45375i
\(329\) −0.619650 + 0.581890i −0.0341624 + 0.0320806i
\(330\) 11.9261 + 11.1994i 0.656512 + 0.616506i
\(331\) 0.454209 + 7.21945i 0.0249656 + 0.396817i 0.990589 + 0.136871i \(0.0437046\pi\)
−0.965623 + 0.259946i \(0.916295\pi\)
\(332\) 1.13278 + 54.0781i 0.0621691 + 2.96792i
\(333\) −0.133800 + 0.318297i −0.00733218 + 0.0174426i
\(334\) 17.8866 + 30.9805i 0.978710 + 1.69518i
\(335\) −0.622306 + 1.07787i −0.0340002 + 0.0588901i
\(336\) 0.815730 + 1.07468i 0.0445017 + 0.0586289i
\(337\) 0.0918681 0.247026i 0.00500437 0.0134564i −0.934756 0.355291i \(-0.884382\pi\)
0.939760 + 0.341835i \(0.111048\pi\)
\(338\) −29.8584 + 2.50728i −1.62408 + 0.136378i
\(339\) 12.2389 9.70043i 0.664725 0.526855i
\(340\) −13.2382 + 5.89404i −0.717944 + 0.319649i
\(341\) 7.19942 + 17.1267i 0.389871 + 0.927465i
\(342\) −1.79853 + 2.36948i −0.0972535 + 0.128127i
\(343\) −9.61217 15.1464i −0.519009 0.817827i
\(344\) −6.62121 1.99906i −0.356992 0.107782i
\(345\) −31.0964 + 10.8289i −1.67418 + 0.583010i
\(346\) −29.3606 + 11.6247i −1.57844 + 0.624947i
\(347\) 8.23136 + 15.7451i 0.441882 + 0.845243i 0.999881 + 0.0154014i \(0.00490263\pi\)
−0.557999 + 0.829842i \(0.688431\pi\)
\(348\) −3.19227 + 30.3725i −0.171124 + 1.62813i
\(349\) −6.19889 + 11.8574i −0.331819 + 0.634711i −0.993341 0.115215i \(-0.963244\pi\)
0.661522 + 0.749926i \(0.269911\pi\)
\(350\) 1.06697 + 0.708894i 0.0570320 + 0.0378920i
\(351\) −0.739354 0.586004i −0.0394638 0.0312786i
\(352\) 8.36229 + 2.14707i 0.445711 + 0.114439i
\(353\) 26.8033 + 13.3053i 1.42660 + 0.708169i 0.982231 0.187676i \(-0.0600954\pi\)
0.444367 + 0.895845i \(0.353429\pi\)
\(354\) 9.98667 35.7682i 0.530786 1.90106i
\(355\) 19.6395 + 23.7401i 1.04236 + 1.26000i
\(356\) 14.9664 9.06396i 0.793216 0.480389i
\(357\) −3.64335 3.72047i −0.192827 0.196908i
\(358\) −13.6352 19.6185i −0.720644 1.03687i
\(359\) 13.2144 15.9734i 0.697428 0.843046i −0.296274 0.955103i \(-0.595744\pi\)
0.993702 + 0.112057i \(0.0357441\pi\)
\(360\) −0.251581 + 1.70370i −0.0132595 + 0.0897929i
\(361\) 3.02789 9.31888i 0.159362 0.490467i
\(362\) −1.75987 + 9.22557i −0.0924968 + 0.484885i
\(363\) 3.92758 + 14.0670i 0.206145 + 0.738327i
\(364\) −0.559429 + 0.804913i −0.0293221 + 0.0421889i
\(365\) −17.2573 + 2.91886i −0.903291 + 0.152780i
\(366\) −10.8745 33.4683i −0.568420 1.74942i
\(367\) −7.36874 + 0.930889i −0.384645 + 0.0485920i −0.315278 0.948999i \(-0.602098\pi\)
−0.0693668 + 0.997591i \(0.522098\pi\)
\(368\) 2.56623 2.85009i 0.133774 0.148571i
\(369\) 1.78740 + 0.982629i 0.0930481 + 0.0511536i
\(370\) −3.27967 6.96964i −0.170502 0.362335i
\(371\) −0.847659 2.27929i −0.0440083 0.118335i
\(372\) −35.2509 + 55.5466i −1.82768 + 2.87996i
\(373\) −18.5024 + 15.9709i −0.958018 + 0.826939i −0.984975 0.172697i \(-0.944752\pi\)
0.0269565 + 0.999637i \(0.491418\pi\)
\(374\) 7.29635 + 0.921743i 0.377285 + 0.0476622i
\(375\) −3.62368 18.9960i −0.187126 0.980949i
\(376\) 1.52910 0.759051i 0.0788572 0.0391451i
\(377\) −0.942979 + 0.200436i −0.0485659 + 0.0103230i
\(378\) 17.3483 3.68750i 0.892301 0.189665i
\(379\) −7.52743 + 3.73665i −0.386658 + 0.191939i −0.627484 0.778630i \(-0.715915\pi\)
0.240826 + 0.970568i \(0.422582\pi\)
\(380\) −7.77968 40.7825i −0.399089 2.09210i
\(381\) −24.9380 3.15041i −1.27761 0.161400i
\(382\) 33.7169 29.1037i 1.72511 1.48907i
\(383\) 7.52686 11.8604i 0.384605 0.606040i −0.595777 0.803150i \(-0.703156\pi\)
0.980381 + 0.197110i \(0.0631557\pi\)
\(384\) 12.0641 + 32.4394i 0.615644 + 1.65542i
\(385\) −2.58619 5.49594i −0.131805 0.280099i
\(386\) 4.39836 + 2.41802i 0.223871 + 0.123074i
\(387\) 0.357826 0.397406i 0.0181893 0.0202013i
\(388\) 58.8726 7.43734i 2.98880 0.377574i
\(389\) −2.19848 6.76623i −0.111467 0.343061i 0.879726 0.475480i \(-0.157726\pi\)
−0.991194 + 0.132419i \(0.957726\pi\)
\(390\) −1.80317 + 0.304983i −0.0913069 + 0.0154434i
\(391\) −8.44766 + 12.1546i −0.427217 + 0.614684i
\(392\) 3.84916 + 13.7862i 0.194412 + 0.696306i
\(393\) 2.94752 15.4515i 0.148683 0.779423i
\(394\) 13.4677 41.4493i 0.678493 2.08819i
\(395\) 3.99460 27.0514i 0.200990 1.36110i
\(396\) 0.867951 1.04917i 0.0436162 0.0527229i
\(397\) 9.08211 + 13.0674i 0.455818 + 0.655836i 0.980741 0.195314i \(-0.0625724\pi\)
−0.524923 + 0.851150i \(0.675906\pi\)
\(398\) 2.66605 + 2.72248i 0.133637 + 0.136466i
\(399\) 12.7614 7.72858i 0.638870 0.386913i
\(400\) −0.111003 0.134180i −0.00555017 0.00670901i
\(401\) 5.49388 19.6769i 0.274351 0.982615i −0.691256 0.722610i \(-0.742942\pi\)
0.965607 0.260006i \(-0.0837244\pi\)
\(402\) 2.00347 + 0.994533i 0.0999242 + 0.0496028i
\(403\) −2.01148 0.516460i −0.100199 0.0257267i
\(404\) −22.7011 17.9926i −1.12942 0.895168i
\(405\) 18.6297 + 12.3775i 0.925716 + 0.615044i
\(406\) 8.39660 16.0612i 0.416716 0.797104i
\(407\) −0.255640 + 2.43225i −0.0126716 + 0.120562i
\(408\) 4.84507 + 9.26777i 0.239867 + 0.458823i
\(409\) −25.7782 + 10.2063i −1.27465 + 0.504670i −0.905361 0.424644i \(-0.860399\pi\)
−0.369291 + 0.929314i \(0.620399\pi\)
\(410\) −42.9723 + 14.9645i −2.12225 + 0.739046i
\(411\) 6.68306 + 2.01774i 0.329651 + 0.0995276i
\(412\) −19.5244 30.7655i −0.961898 1.51571i
\(413\) −8.33587 + 10.9821i −0.410181 + 0.540394i
\(414\) 1.69756 + 4.03833i 0.0834304 + 0.198473i
\(415\) 34.2268 15.2388i 1.68013 0.748041i
\(416\) −0.756317 + 0.599450i −0.0370815 + 0.0293904i
\(417\) −10.1663 + 0.853689i −0.497846 + 0.0418053i
\(418\) −7.34466 + 19.7492i −0.359239 + 0.965965i
\(419\) −9.60124 12.6492i −0.469051 0.617952i 0.499636 0.866235i \(-0.333467\pi\)
−0.968688 + 0.248283i \(0.920134\pi\)
\(420\) 10.7543 18.6271i 0.524758 0.908908i
\(421\) −4.78872 8.29431i −0.233388 0.404240i 0.725415 0.688312i \(-0.241648\pi\)
−0.958803 + 0.284072i \(0.908315\pi\)
\(422\) −16.9151 + 40.2395i −0.823416 + 1.95883i
\(423\) 0.00276423 + 0.131963i 0.000134401 + 0.00641626i
\(424\) 0.306656 + 4.87417i 0.0148926 + 0.236710i
\(425\) 0.489948 + 0.460092i 0.0237660 + 0.0223177i
\(426\) 40.3639 37.9042i 1.95564 1.83647i
\(427\) −0.820365 + 13.0393i −0.0397002 + 0.631017i
\(428\) −44.7272 1.87462i −2.16197 0.0906134i
\(429\) 0.539870 + 0.213750i 0.0260652 + 0.0103199i
\(430\) 1.24702 + 11.8646i 0.0601367 + 0.572163i
\(431\) 2.81360 1.86935i 0.135526 0.0900433i −0.483794 0.875182i \(-0.660742\pi\)
0.619320 + 0.785139i \(0.287408\pi\)
\(432\) −2.40263 0.201754i −0.115597 0.00970691i
\(433\) −7.65211 + 16.2616i −0.367737 + 0.781481i 0.632240 + 0.774772i \(0.282136\pi\)
−0.999977 + 0.00670888i \(0.997864\pi\)
\(434\) 31.5851 22.9480i 1.51614 1.10154i
\(435\) 20.2508 6.11407i 0.970950 0.293147i
\(436\) 9.68888 + 8.36321i 0.464013 + 0.400525i
\(437\) −28.3769 31.5157i −1.35745 1.50760i
\(438\) 7.18262 + 30.6232i 0.343199 + 1.46323i
\(439\) 22.6588 + 13.7227i 1.08145 + 0.654948i 0.942112 0.335298i \(-0.108837\pi\)
0.139335 + 0.990245i \(0.455504\pi\)
\(440\) 1.78199 + 12.0676i 0.0849531 + 0.575301i
\(441\) −1.09119 0.184560i −0.0519612 0.00878858i
\(442\) −0.575178 + 0.587353i −0.0273584 + 0.0279375i
\(443\) −7.59271 + 32.3717i −0.360740 + 1.53802i 0.416686 + 0.909050i \(0.363191\pi\)
−0.777426 + 0.628974i \(0.783475\pi\)
\(444\) −7.58907 + 4.17213i −0.360161 + 0.198000i
\(445\) −9.80488 7.12366i −0.464796 0.337694i
\(446\) 49.2793 + 17.1609i 2.33344 + 0.812591i
\(447\) −14.0803 + 0.590138i −0.665974 + 0.0279126i
\(448\) 0.411351 19.6377i 0.0194345 0.927793i
\(449\) 14.3813 + 6.40298i 0.678696 + 0.302175i 0.716982 0.697092i \(-0.245523\pi\)
−0.0382856 + 0.999267i \(0.512190\pi\)
\(450\) 0.192662 0.0494671i 0.00908216 0.00233190i
\(451\) 14.1318 + 3.00381i 0.665440 + 0.141444i
\(452\) 28.9968 1.36390
\(453\) −4.73513 21.6054i −0.222476 1.01511i
\(454\) −4.92711 −0.231241
\(455\) 0.664126 + 0.141164i 0.0311347 + 0.00661789i
\(456\) −29.0211 + 7.45135i −1.35904 + 0.348942i
\(457\) 31.5686 + 14.0553i 1.47672 + 0.657477i 0.977870 0.209212i \(-0.0670899\pi\)
0.498848 + 0.866689i \(0.333757\pi\)
\(458\) −0.00518565 + 0.247561i −0.000242310 + 0.0115677i
\(459\) 9.29746 0.389679i 0.433968 0.0181887i
\(460\) −57.7385 20.1067i −2.69207 0.937478i
\(461\) −29.4186 21.3739i −1.37016 0.995480i −0.997725 0.0674224i \(-0.978522\pi\)
−0.372436 0.928058i \(-0.621478\pi\)
\(462\) −9.56563 + 5.25875i −0.445033 + 0.244659i
\(463\) 3.49735 14.9110i 0.162536 0.692975i −0.828569 0.559888i \(-0.810844\pi\)
0.991104 0.133087i \(-0.0424890\pi\)
\(464\) −1.72383 + 1.76031i −0.0800266 + 0.0817205i
\(465\) 44.9304 + 7.59941i 2.08360 + 0.352414i
\(466\) 0.00486863 + 0.0329703i 0.000225535 + 0.00152732i
\(467\) −16.9931 10.2914i −0.786346 0.476228i 0.0668853 0.997761i \(-0.478694\pi\)
−0.853231 + 0.521533i \(0.825361\pi\)
\(468\) 0.0347567 + 0.148186i 0.00160663 + 0.00684991i
\(469\) −0.555663 0.617126i −0.0256581 0.0284962i
\(470\) −2.22905 1.92406i −0.102818 0.0887503i
\(471\) −8.04590 + 2.42920i −0.370736 + 0.111932i
\(472\) 22.4011 16.2754i 1.03110 0.749135i
\(473\) 1.61277 3.42732i 0.0741555 0.157588i
\(474\) −48.9699 4.11211i −2.24926 0.188876i
\(475\) −1.60391 + 1.06564i −0.0735926 + 0.0488948i
\(476\) −1.01065 9.61570i −0.0463231 0.440735i
\(477\) −0.351089 0.139006i −0.0160752 0.00636464i
\(478\) 6.39734 + 0.268128i 0.292607 + 0.0122639i
\(479\) 0.237388 3.77317i 0.0108465 0.172401i −0.988874 0.148756i \(-0.952473\pi\)
0.999720 0.0236444i \(-0.00752695\pi\)
\(480\) 15.4367 14.4960i 0.704585 0.661649i
\(481\) −0.199284 0.187140i −0.00908658 0.00853287i
\(482\) −2.60772 41.4486i −0.118778 1.88793i
\(483\) −0.460107 21.9653i −0.0209356 0.999455i
\(484\) −10.5086 + 24.9990i −0.477665 + 1.13632i
\(485\) −20.5514 35.5960i −0.933189 1.61633i
\(486\) 2.87364 4.97729i 0.130351 0.225775i
\(487\) 14.1145 + 18.5952i 0.639589 + 0.842628i 0.995779 0.0917860i \(-0.0292576\pi\)
−0.356190 + 0.934414i \(0.615924\pi\)
\(488\) 9.14608 24.5931i 0.414024 1.11328i
\(489\) −20.2059 + 1.69674i −0.913744 + 0.0767292i
\(490\) 19.3486 15.3355i 0.874079 0.692786i
\(491\) −5.33285 + 2.37434i −0.240668 + 0.107152i −0.523527 0.852009i \(-0.675384\pi\)
0.282859 + 0.959162i \(0.408717\pi\)
\(492\) 19.8253 + 47.1625i 0.893794 + 2.12625i
\(493\) 5.74916 7.57424i 0.258929 0.341127i
\(494\) −1.26204 1.98866i −0.0567819 0.0894739i
\(495\) −0.902907 0.272604i −0.0405826 0.0122526i
\(496\) −5.01222 + 1.74544i −0.225055 + 0.0783725i
\(497\) −19.1138 + 7.56771i −0.857373 + 0.339458i
\(498\) −31.1943 59.6693i −1.39785 2.67384i
\(499\) 2.88463 27.4454i 0.129134 1.22862i −0.717542 0.696515i \(-0.754733\pi\)
0.846676 0.532109i \(-0.178600\pi\)
\(500\) 16.6355 31.8208i 0.743964 1.42307i
\(501\) −23.2043 15.4169i −1.03669 0.688775i
\(502\) 24.6618 + 19.5467i 1.10071 + 0.872412i
\(503\) 18.9323 + 4.86100i 0.844151 + 0.216741i 0.645911 0.763413i \(-0.276478\pi\)
0.198240 + 0.980154i \(0.436478\pi\)
\(504\) −1.02923 0.510914i −0.0458455 0.0227579i
\(505\) −5.39563 + 19.3250i −0.240102 + 0.859950i
\(506\) 19.7784 + 23.9080i 0.879259 + 1.06284i
\(507\) 19.9595 12.0879i 0.886432 0.536842i
\(508\) −32.6546 33.3458i −1.44881 1.47948i
\(509\) 1.27331 + 1.83205i 0.0564383 + 0.0812040i 0.848364 0.529413i \(-0.177588\pi\)
−0.791926 + 0.610618i \(0.790921\pi\)
\(510\) 11.4982 13.8989i 0.509148 0.615454i
\(511\) 1.70595 11.5526i 0.0754666 0.511059i
\(512\) −1.69254 + 5.20910i −0.0748004 + 0.230212i
\(513\) −4.99583 + 26.1890i −0.220571 + 1.15627i
\(514\) 16.3957 + 58.7229i 0.723184 + 2.59016i
\(515\) −14.4042 + 20.7250i −0.634727 + 0.913252i
\(516\) 13.2252 2.23687i 0.582207 0.0984729i
\(517\) 0.288907 + 0.889164i 0.0127061 + 0.0391054i
\(518\) 5.09886 0.644136i 0.224031 0.0283017i
\(519\) 16.4552 18.2754i 0.722305 0.802201i
\(520\) −1.19490 0.656902i −0.0523999 0.0288071i
\(521\) −8.83842 18.7826i −0.387218 0.822881i −0.999481 0.0322262i \(-0.989740\pi\)
0.612262 0.790655i \(-0.290260\pi\)
\(522\) −0.980950 2.63769i −0.0429350 0.115449i
\(523\) −4.48198 + 7.06247i −0.195983 + 0.308820i −0.928080 0.372380i \(-0.878542\pi\)
0.732097 + 0.681200i \(0.238542\pi\)
\(524\) 22.1095 19.0844i 0.965857 0.833705i
\(525\) −0.989731 0.125032i −0.0431954 0.00545685i
\(526\) 3.37688 + 17.7022i 0.147239 + 0.771855i
\(527\) 18.3479 9.10797i 0.799247 0.396749i
\(528\) 1.45151 0.308529i 0.0631691 0.0134270i
\(529\) −38.5887 + 8.20229i −1.67777 + 0.356621i
\(530\) 7.54545 3.74559i 0.327753 0.162698i
\(531\) 0.401161 + 2.10296i 0.0174089 + 0.0912607i
\(532\) 27.4830 + 3.47191i 1.19154 + 0.150526i
\(533\) −1.22252 + 1.05525i −0.0529532 + 0.0457080i
\(534\) −11.6705 + 18.3898i −0.505033 + 0.795805i
\(535\) 10.8085 + 29.0631i 0.467291 + 1.25651i
\(536\) 0.710092 + 1.50902i 0.0306713 + 0.0651798i
\(537\) 16.3045 + 8.96346i 0.703590 + 0.386802i
\(538\) −26.0775 + 28.9620i −1.12428 + 1.24864i
\(539\) −7.77703 + 0.982468i −0.334980 + 0.0423179i
\(540\) 11.8776 + 36.5556i 0.511132 + 1.57310i
\(541\) −1.63834 + 0.277104i −0.0704377 + 0.0119136i −0.201881 0.979410i \(-0.564705\pi\)
0.131443 + 0.991324i \(0.458039\pi\)
\(542\) 19.6320 28.2468i 0.843269 1.21330i
\(543\) −1.96691 7.04467i −0.0844081 0.302316i
\(544\) 1.78371 9.35053i 0.0764759 0.400901i
\(545\) 2.73957 8.43152i 0.117350 0.361167i
\(546\) 0.178249 1.20710i 0.00762835 0.0516591i
\(547\) −22.6163 + 27.3384i −0.967002 + 1.16891i 0.0186003 + 0.999827i \(0.494079\pi\)
−0.985603 + 0.169078i \(0.945921\pi\)
\(548\) 7.39761 + 10.6438i 0.316010 + 0.454679i
\(549\) 1.41942 + 1.44947i 0.0605795 + 0.0618617i
\(550\) 1.20514 0.729859i 0.0513874 0.0311213i
\(551\) 17.3661 + 20.9920i 0.739819 + 0.894287i
\(552\) −11.8655 + 42.4973i −0.505027 + 1.80880i
\(553\) 16.3421 + 8.11230i 0.694937 + 0.344970i
\(554\) 33.5317 + 8.60948i 1.42463 + 0.365782i
\(555\) 4.70108 + 3.72603i 0.199550 + 0.158161i
\(556\) −15.7778 10.4828i −0.669129 0.444569i
\(557\) −0.639389 + 1.22304i −0.0270918 + 0.0518218i −0.899371 0.437187i \(-0.855975\pi\)
0.872279 + 0.489009i \(0.162641\pi\)
\(558\) 0.633679 6.02905i 0.0268258 0.255230i
\(559\) 0.196163 + 0.375226i 0.00829682 + 0.0158704i
\(560\) 1.61336 0.638774i 0.0681769 0.0269931i
\(561\) −5.40873 + 1.88352i −0.228357 + 0.0795222i
\(562\) −67.6241 20.4169i −2.85255 0.861235i
\(563\) −18.5891 29.2917i −0.783437 1.23450i −0.967820 0.251645i \(-0.919029\pi\)
0.184383 0.982855i \(-0.440971\pi\)
\(564\) −2.00162 + 2.63703i −0.0842832 + 0.111039i
\(565\) −7.78321 18.5155i −0.327442 0.778954i
\(566\) −65.8766 + 29.3302i −2.76900 + 1.23284i
\(567\) −11.6954 + 9.26964i −0.491159 + 0.389288i
\(568\) 41.1409 3.45469i 1.72623 0.144956i
\(569\) 0.671576 1.80581i 0.0281539 0.0757036i −0.922440 0.386139i \(-0.873808\pi\)
0.950594 + 0.310436i \(0.100475\pi\)
\(570\) 31.2467 + 41.1659i 1.30878 + 1.72425i
\(571\) −1.02414 + 1.77386i −0.0428590 + 0.0742339i −0.886659 0.462424i \(-0.846980\pi\)
0.843800 + 0.536658i \(0.180313\pi\)
\(572\) 0.539057 + 0.933675i 0.0225391 + 0.0390389i
\(573\) −13.4416 + 31.9763i −0.561530 + 1.33583i
\(574\) −0.635824 30.3539i −0.0265388 1.26695i
\(575\) 0.178056 + 2.83011i 0.00742543 + 0.118024i
\(576\) −2.22333 2.08785i −0.0926387 0.0869936i
\(577\) 14.0077 13.1541i 0.583146 0.547611i −0.335831 0.941922i \(-0.609017\pi\)
0.918977 + 0.394312i \(0.129017\pi\)
\(578\) −1.95801 + 31.1217i −0.0814426 + 1.29449i
\(579\) −3.90535 0.163683i −0.162301 0.00680243i
\(580\) 36.5189 + 14.4589i 1.51637 + 0.600371i
\(581\) 2.61299 + 24.8609i 0.108405 + 1.03140i
\(582\) −61.5256 + 40.8775i −2.55032 + 1.69443i
\(583\) −2.66527 0.223809i −0.110384 0.00926921i
\(584\) −9.98572 + 21.2207i −0.413212 + 0.878120i
\(585\) 0.0852930 0.0619690i 0.00352643 0.00256210i
\(586\) −37.8872 + 11.4388i −1.56511 + 0.472534i
\(587\) 12.1382 + 10.4774i 0.500996 + 0.432448i 0.867106 0.498123i \(-0.165977\pi\)
−0.366110 + 0.930572i \(0.619311\pi\)
\(588\) −18.5738 20.6283i −0.765970 0.850696i
\(589\) 13.4016 + 57.1379i 0.552202 + 2.35433i
\(590\) −40.8529 24.7414i −1.68189 1.01859i
\(591\) 4.95812 + 33.5763i 0.203950 + 1.38115i
\(592\) −0.688884 0.116516i −0.0283130 0.00478878i
\(593\) −0.591720 + 0.604245i −0.0242990 + 0.0248134i −0.726514 0.687151i \(-0.758861\pi\)
0.702215 + 0.711965i \(0.252194\pi\)
\(594\) 4.45445 18.9916i 0.182768 0.779236i
\(595\) −5.86870 + 3.22635i −0.240593 + 0.132267i
\(596\) −21.1692 15.3803i −0.867124 0.630002i
\(597\) −2.80240 0.975900i −0.114695 0.0399409i
\(598\) −3.46539 + 0.145243i −0.141710 + 0.00593943i
\(599\) −0.638960 + 30.5036i −0.0261072 + 1.24634i 0.768751 + 0.639549i \(0.220879\pi\)
−0.794858 + 0.606796i \(0.792455\pi\)
\(600\) 1.83027 + 0.814888i 0.0747204 + 0.0332677i
\(601\) 5.64761 1.45006i 0.230371 0.0591492i −0.131740 0.991284i \(-0.542056\pi\)
0.362111 + 0.932135i \(0.382056\pi\)
\(602\) −7.78593 1.65495i −0.317331 0.0674507i
\(603\) −0.128947 −0.00525111
\(604\) 18.0277 36.8997i 0.733537 1.50143i
\(605\) 18.7835 0.763657
\(606\) 35.2700 + 7.49686i 1.43274 + 0.304539i
\(607\) −34.6690 + 8.90148i −1.40717 + 0.361300i −0.874501 0.485023i \(-0.838811\pi\)
−0.532669 + 0.846323i \(0.678811\pi\)
\(608\) 24.9151 + 11.0929i 1.01044 + 0.449878i
\(609\) −0.295582 + 14.1109i −0.0119776 + 0.571804i
\(610\) −45.2189 + 1.89523i −1.83086 + 0.0767358i
\(611\) −0.0986939 0.0343689i −0.00399273 0.00139042i
\(612\) −1.21460 0.882460i −0.0490974 0.0356713i
\(613\) −26.1181 + 14.3586i −1.05490 + 0.579937i −0.912165 0.409824i \(-0.865590\pi\)
−0.142737 + 0.989761i \(0.545590\pi\)
\(614\) 9.38506 40.0134i 0.378750 1.61481i
\(615\) 24.7936 25.3184i 0.999773 1.02093i
\(616\) −8.02505 1.35733i −0.323338 0.0546886i
\(617\) 3.30144 + 22.3573i 0.132911 + 0.900072i 0.947436 + 0.319944i \(0.103664\pi\)
−0.814525 + 0.580128i \(0.803003\pi\)
\(618\) 38.7976 + 23.4966i 1.56067 + 0.945174i
\(619\) −10.8239 46.1480i −0.435050 1.85485i −0.513739 0.857947i \(-0.671740\pi\)
0.0786883 0.996899i \(-0.474927\pi\)
\(620\) 56.6149 + 62.8772i 2.27371 + 2.52521i
\(621\) 29.7207 + 25.6542i 1.19265 + 1.02947i
\(622\) −19.4395 + 5.86915i −0.779455 + 0.235331i
\(623\) 6.54198 4.75302i 0.262099 0.190426i
\(624\) −0.0706271 + 0.150090i −0.00282735 + 0.00600842i
\(625\) −26.5719 2.23130i −1.06288 0.0892521i
\(626\) −21.4418 + 14.2459i −0.856987 + 0.569381i
\(627\) −1.71522 16.3192i −0.0684993 0.651728i
\(628\) −14.5095 5.74470i −0.578990 0.229238i
\(629\) 2.69416 + 0.112919i 0.107423 + 0.00450236i
\(630\) −0.124451 + 1.97808i −0.00495823 + 0.0788088i
\(631\) 29.1146 27.3405i 1.15903 1.08841i 0.164249 0.986419i \(-0.447480\pi\)
0.994786 0.101987i \(-0.0325201\pi\)
\(632\) −26.7103 25.0826i −1.06248 0.997733i
\(633\) −2.13445 33.9262i −0.0848370 1.34844i
\(634\) 0.471260 + 22.4977i 0.0187161 + 0.893499i
\(635\) −12.5275 + 29.8017i −0.497138 + 1.18264i
\(636\) −4.73559 8.20229i −0.187778 0.325242i
\(637\) 0.438119 0.758844i 0.0173589 0.0300665i
\(638\) −12.0518 15.8776i −0.477133 0.628600i
\(639\) −1.11268 + 2.99192i −0.0440171 + 0.118358i
\(640\) 44.3558 3.72466i 1.75332 0.147230i
\(641\) −20.5985 + 16.3262i −0.813594 + 0.644846i −0.937709 0.347421i \(-0.887057\pi\)
0.124115 + 0.992268i \(0.460391\pi\)
\(642\) 50.9077 22.6655i 2.00916 0.894538i
\(643\) −5.69649 13.5514i −0.224647 0.534415i 0.769964 0.638087i \(-0.220274\pi\)
−0.994612 + 0.103672i \(0.966941\pi\)
\(644\) 24.6635 32.4929i 0.971877 1.28040i
\(645\) −4.97818 7.84435i −0.196016 0.308871i
\(646\) 22.2405 + 6.71482i 0.875043 + 0.264191i
\(647\) 3.52981 1.22921i 0.138771 0.0483252i −0.258592 0.965987i \(-0.583259\pi\)
0.397363 + 0.917661i \(0.369925\pi\)
\(648\) 27.8661 11.0330i 1.09468 0.433416i
\(649\) 7.02554 + 13.4386i 0.275777 + 0.527512i
\(650\) −0.0164623 + 0.156629i −0.000645705 + 0.00614348i
\(651\) −14.0861 + 26.9442i −0.552077 + 1.05603i
\(652\) −31.3591 20.8349i −1.22812 0.815958i
\(653\) −3.26168 2.58517i −0.127639 0.101166i 0.555265 0.831673i \(-0.312617\pi\)
−0.682904 + 0.730508i \(0.739283\pi\)
\(654\) −15.4318 3.96222i −0.603433 0.154935i
\(655\) −18.1206 8.99515i −0.708031 0.351470i
\(656\) −1.10992 + 3.97529i −0.0433351 + 0.155209i
\(657\) −1.15585 1.39719i −0.0450942 0.0545095i
\(658\) 1.68052 1.01776i 0.0655135 0.0396764i
\(659\) −10.4084 10.6287i −0.405455 0.414037i 0.481096 0.876668i \(-0.340239\pi\)
−0.886551 + 0.462631i \(0.846906\pi\)
\(660\) −13.5011 19.4256i −0.525531 0.756140i
\(661\) −0.589998 + 0.713185i −0.0229483 + 0.0277397i −0.781863 0.623451i \(-0.785730\pi\)
0.758914 + 0.651191i \(0.225730\pi\)
\(662\) 2.44240 16.5399i 0.0949265 0.642841i
\(663\) 0.197835 0.608872i 0.00768326 0.0236466i
\(664\) 9.40716 49.3140i 0.365069 1.91376i
\(665\) −5.15993 18.4808i −0.200094 0.716655i
\(666\) 0.455448 0.655304i 0.0176483 0.0253925i
\(667\) 39.5578 6.69071i 1.53169 0.259065i
\(668\) −15.9846 49.1954i −0.618461 1.90343i
\(669\) −40.3170 + 5.09322i −1.55874 + 0.196915i
\(670\) 1.92486 2.13778i 0.0743640 0.0825895i
\(671\) 12.5924 + 6.92271i 0.486123 + 0.267248i
\(672\) 6.01584 + 12.7843i 0.232066 + 0.493165i
\(673\) −4.44119 11.9420i −0.171195 0.460330i 0.822984 0.568064i \(-0.192307\pi\)
−0.994180 + 0.107733i \(0.965641\pi\)
\(674\) −0.326401 + 0.514326i −0.0125725 + 0.0198111i
\(675\) 1.34953 1.16488i 0.0519433 0.0448363i
\(676\) 42.9848 + 5.43024i 1.65326 + 0.208855i
\(677\) −3.61802 18.9664i −0.139052 0.728936i −0.981694 0.190463i \(-0.939001\pi\)
0.842642 0.538473i \(-0.180999\pi\)
\(678\) −32.3310 + 16.0492i −1.24166 + 0.616368i
\(679\) 26.8251 5.70185i 1.02945 0.218817i
\(680\) 13.1559 2.79637i 0.504505 0.107236i
\(681\) 3.43690 1.70609i 0.131702 0.0653776i
\(682\) −8.04618 42.1795i −0.308104 1.61514i
\(683\) −48.3384 6.10657i −1.84962 0.233661i −0.879433 0.476023i \(-0.842078\pi\)
−0.970186 + 0.242361i \(0.922078\pi\)
\(684\) 3.25615 2.81063i 0.124502 0.107467i
\(685\) 4.81080 7.58060i 0.183811 0.289640i
\(686\) 14.4526 + 38.8618i 0.551801 + 1.48375i
\(687\) −0.0821046 0.174481i −0.00313249 0.00665687i
\(688\) 0.948247 + 0.521303i 0.0361516 + 0.0198745i
\(689\) 0.200054 0.222182i 0.00762145 0.00846448i
\(690\) 75.5062 9.53865i 2.87447 0.363130i
\(691\) −2.81702 8.66989i −0.107164 0.329818i 0.883068 0.469245i \(-0.155474\pi\)
−0.990232 + 0.139427i \(0.955474\pi\)
\(692\) 45.0218 7.61487i 1.71147 0.289474i
\(693\) 0.359146 0.516743i 0.0136428 0.0196294i
\(694\) −11.0431 39.5519i −0.419190 1.50137i
\(695\) −2.45861 + 12.8885i −0.0932603 + 0.488887i
\(696\) 8.75917 26.9580i 0.332016 1.02184i
\(697\) 2.32703 15.7586i 0.0881426 0.596900i
\(698\) 19.7124 23.8281i 0.746124 0.901908i
\(699\) −0.0148126 0.0213126i −0.000560265 0.000806115i
\(700\) −1.29598 1.32341i −0.0489835 0.0500203i
\(701\) −36.6714 + 22.2090i −1.38506 + 0.838821i −0.996580 0.0826368i \(-0.973666\pi\)
−0.388478 + 0.921458i \(0.626999\pi\)
\(702\) 1.38992 + 1.68012i 0.0524591 + 0.0634121i
\(703\) −2.07760 + 7.44113i −0.0783582 + 0.280648i
\(704\) −19.3505 9.60566i −0.729299 0.362027i
\(705\) 2.22111 + 0.570283i 0.0836517 + 0.0214781i
\(706\) −54.2028 42.9606i −2.03995 1.61684i
\(707\) −11.1504 7.40830i −0.419353 0.278618i
\(708\) −24.8781 + 47.5874i −0.934977 + 1.78845i
\(709\) −4.89256 + 46.5496i −0.183744 + 1.74821i 0.382488 + 0.923960i \(0.375067\pi\)
−0.566232 + 0.824246i \(0.691599\pi\)
\(710\) −32.9926 63.1090i −1.23819 2.36844i
\(711\) 2.63407 1.04290i 0.0987855 0.0391120i
\(712\) −15.3365 + 5.34073i −0.574759 + 0.200152i
\(713\) 82.7361 + 24.9795i 3.09849 + 0.935489i
\(714\) 6.44899 + 10.1620i 0.241347 + 0.380302i
\(715\) 0.451494 0.594821i 0.0168849 0.0222450i
\(716\) 13.3873 + 31.8472i 0.500309 + 1.19019i
\(717\) −4.55530 + 2.02815i −0.170121 + 0.0757427i
\(718\) −37.5508 + 29.7624i −1.40138 + 1.11072i
\(719\) 33.7667 2.83547i 1.25929 0.105745i 0.564785 0.825238i \(-0.308959\pi\)
0.694500 + 0.719493i \(0.255626\pi\)
\(720\) 0.0939193 0.252541i 0.00350017 0.00941166i
\(721\) −10.1814 13.4135i −0.379174 0.499543i
\(722\) −11.3235 + 19.6129i −0.421419 + 0.729918i
\(723\) 16.1713 + 28.0094i 0.601415 + 1.04168i
\(724\) 5.26265 12.5194i 0.195585 0.465278i
\(725\) −0.0381511 1.82132i −0.00141690 0.0676420i
\(726\) −2.11959 33.6899i −0.0786653 1.25035i
\(727\) −26.9811 25.3370i −1.00067 0.939696i −0.00249470 0.999997i \(-0.500794\pi\)
−0.998180 + 0.0603005i \(0.980794\pi\)
\(728\) 0.663210 0.622795i 0.0245802 0.0230823i
\(729\) 1.53901 24.4618i 0.0570002 0.905993i
\(730\) 40.4178 + 1.69401i 1.49593 + 0.0626980i
\(731\) −3.88309 1.53742i −0.143621 0.0568636i
\(732\) 5.31892 + 50.6061i 0.196593 + 1.87046i
\(733\) 38.5763 25.6300i 1.42485 0.946667i 0.425723 0.904854i \(-0.360020\pi\)
0.999125 0.0418134i \(-0.0133135\pi\)
\(734\) 17.1065 + 1.43647i 0.631412 + 0.0530211i
\(735\) −8.18641 + 17.3970i −0.301960 + 0.641698i
\(736\) 32.4919 23.6068i 1.19767 0.870157i
\(737\) −0.874371 + 0.263988i −0.0322079 + 0.00972412i
\(738\) −3.56872 3.08044i −0.131366 0.113392i
\(739\) 1.36804 + 1.51936i 0.0503242 + 0.0558907i 0.767781 0.640712i \(-0.221361\pi\)
−0.717457 + 0.696603i \(0.754694\pi\)
\(740\) 2.54336 + 10.8437i 0.0934960 + 0.398622i
\(741\) 1.56894 + 0.950184i 0.0576365 + 0.0349059i
\(742\) 0.821076 + 5.56031i 0.0301426 + 0.204126i
\(743\) −18.0126 3.04661i −0.660820 0.111769i −0.173283 0.984872i \(-0.555438\pi\)
−0.487536 + 0.873103i \(0.662104\pi\)
\(744\) 42.7219 43.6261i 1.56626 1.59941i
\(745\) −4.13874 + 17.6456i −0.151632 + 0.646485i
\(746\) 49.5047 27.2154i 1.81250 0.996428i
\(747\) 3.14029 + 2.28155i 0.114897 + 0.0834777i
\(748\) −10.0427 3.49723i −0.367197 0.127871i
\(749\) −20.6708 + 0.866363i −0.755294 + 0.0316562i
\(750\) −0.936064 + 44.6872i −0.0341802 + 1.63175i
\(751\) −38.7529 17.2539i −1.41411 0.629604i −0.449501 0.893280i \(-0.648398\pi\)
−0.964611 + 0.263676i \(0.915065\pi\)
\(752\) −0.258695 + 0.0664217i −0.00943365 + 0.00242215i
\(753\) −23.9712 5.09523i −0.873558 0.185681i
\(754\) 2.22819 0.0811459
\(755\) −28.4007 1.60688i −1.03361 0.0584804i
\(756\) −25.6457 −0.932724
\(757\) 23.4449 + 4.98337i 0.852120 + 0.181124i 0.613212 0.789919i \(-0.289877\pi\)
0.238908 + 0.971042i \(0.423211\pi\)
\(758\) 18.8135 4.83049i 0.683338 0.175451i
\(759\) −22.0750 9.82842i −0.801271 0.356749i
\(760\) −0.807008 + 38.5261i −0.0292732 + 1.39749i
\(761\) 34.8065 1.45882i 1.26173 0.0528823i 0.598395 0.801202i \(-0.295806\pi\)
0.663339 + 0.748319i \(0.269139\pi\)
\(762\) 54.8657 + 19.1062i 1.98757 + 0.692146i
\(763\) 4.78546 + 3.47684i 0.173245 + 0.125870i
\(764\) −56.4380 + 31.0271i −2.04186 + 1.12252i
\(765\) −0.237464 + 1.01243i −0.00858553 + 0.0366046i
\(766\) −22.7161 + 23.1969i −0.820765 + 0.838138i
\(767\) −1.67135 0.282687i −0.0603488 0.0102072i
\(768\) −4.99810 33.8471i −0.180354 1.22135i
\(769\) 10.5232 + 6.37309i 0.379477 + 0.229820i 0.694860 0.719145i \(-0.255466\pi\)
−0.315383 + 0.948965i \(0.602133\pi\)
\(770\) 3.20578 + 13.6679i 0.115528 + 0.492558i
\(771\) −31.7706 35.2848i −1.14419 1.27075i
\(772\) −5.49401 4.74230i −0.197734 0.170679i
\(773\) 28.1190 8.48963i 1.01137 0.305351i 0.260268 0.965536i \(-0.416189\pi\)
0.751102 + 0.660186i \(0.229522\pi\)
\(774\) −0.999938 + 0.726498i −0.0359420 + 0.0261134i
\(775\) 1.67088 3.55080i 0.0600198 0.127549i
\(776\) −54.8834 4.60869i −1.97020 0.165442i
\(777\) −3.33366 + 2.21488i −0.119595 + 0.0794584i
\(778\) 1.71882 + 16.3535i 0.0616226 + 0.586300i
\(779\) 42.4342 + 16.8009i 1.52036 + 0.601955i
\(780\) 2.64205 + 0.110735i 0.0946005 + 0.00396494i
\(781\) −1.41972 + 22.5658i −0.0508015 + 0.807466i
\(782\) 24.9392 23.4194i 0.891823 0.837477i
\(783\) −18.3863 17.2659i −0.657072 0.617031i
\(784\) −0.140612 2.23496i −0.00502186 0.0798201i
\(785\) 0.226370 + 10.8068i 0.00807948 + 0.385711i
\(786\) −14.0888 + 33.5160i −0.502532 + 1.19548i
\(787\) 9.76725 + 16.9174i 0.348165 + 0.603039i 0.985924 0.167197i \(-0.0534716\pi\)
−0.637759 + 0.770236i \(0.720138\pi\)
\(788\) −31.5095 + 54.5761i −1.12248 + 1.94419i
\(789\) −8.48523 11.1789i −0.302082 0.397979i
\(790\) −22.0303 + 59.2378i −0.783804 + 2.10759i
\(791\) 13.3540 1.12136i 0.474812 0.0398711i
\(792\) −0.990440 + 0.785013i −0.0351937 + 0.0278942i
\(793\) −1.46741 + 0.653332i −0.0521092 + 0.0232005i
\(794\) −14.2532 33.9071i −0.505828 1.20332i
\(795\) −3.96635 + 5.22547i −0.140672 + 0.185328i
\(796\) −2.95233 4.65212i −0.104642 0.164890i
\(797\) 16.4497 + 4.96645i 0.582677 + 0.175921i 0.566661 0.823951i \(-0.308235\pi\)
0.0160164 + 0.999872i \(0.494902\pi\)
\(798\) −32.5647 + 11.3402i −1.15278 + 0.401440i
\(799\) 0.958437 0.379472i 0.0339071 0.0134248i
\(800\) −0.844888 1.61612i −0.0298713 0.0571386i
\(801\) 0.131249 1.24875i 0.00463745 0.0441224i
\(802\) −21.8761 + 41.8451i −0.772472 + 1.47760i
\(803\) −10.6981 7.10781i −0.377528 0.250829i
\(804\) −2.53468 2.00896i −0.0893911 0.0708505i
\(805\) −27.3680 7.02690i −0.964595 0.247666i
\(806\) 4.29934 + 2.13421i 0.151438 + 0.0751743i
\(807\) 8.16178 29.2322i 0.287308 1.02902i
\(808\) 17.1373 + 20.7155i 0.602890 + 0.728769i
\(809\) 3.12499 1.89256i 0.109869 0.0665389i −0.462023 0.886868i \(-0.652876\pi\)
0.571892 + 0.820329i \(0.306210\pi\)
\(810\) −36.1697 36.9353i −1.27088 1.29777i
\(811\) −0.865497 1.24529i −0.0303917 0.0437280i 0.805662 0.592375i \(-0.201810\pi\)
−0.836054 + 0.548647i \(0.815143\pi\)
\(812\) −16.7045 + 20.1923i −0.586214 + 0.708611i
\(813\) −3.91339 + 26.5015i −0.137249 + 0.929447i
\(814\) 1.74675 5.37596i 0.0612237 0.188427i
\(815\) −4.88658 + 25.6163i −0.171169 + 0.897301i
\(816\) −0.439997 1.57589i −0.0154030 0.0551672i
\(817\) 6.82892 9.82553i 0.238914 0.343752i
\(818\) 63.1836 10.6867i 2.20916 0.373652i
\(819\) 0.0217372 + 0.0669004i 0.000759561 + 0.00233769i
\(820\) 65.2779 8.24652i 2.27960 0.287981i
\(821\) 24.0412 26.7005i 0.839045 0.931854i −0.159422 0.987211i \(-0.550963\pi\)
0.998467 + 0.0553566i \(0.0176296\pi\)
\(822\) −14.1394 7.77318i −0.493167 0.271121i
\(823\) 22.5559 + 47.9338i 0.786250 + 1.67087i 0.740635 + 0.671908i \(0.234525\pi\)
0.0456151 + 0.998959i \(0.485475\pi\)
\(824\) 11.7886 + 31.6985i 0.410674 + 1.10427i
\(825\) −0.587919 + 0.926413i −0.0204687 + 0.0322535i
\(826\) 24.1230 20.8224i 0.839346 0.724504i
\(827\) −49.9941 6.31573i −1.73847 0.219619i −0.808816 0.588062i \(-0.799891\pi\)
−0.929650 + 0.368443i \(0.879891\pi\)
\(828\) −1.18692 6.22207i −0.0412484 0.216232i
\(829\) 37.5393 18.6347i 1.30379 0.647209i 0.346970 0.937876i \(-0.387211\pi\)
0.956824 + 0.290668i \(0.0938774\pi\)
\(830\) −84.7024 + 18.0040i −2.94006 + 0.624929i
\(831\) −26.3712 + 5.60537i −0.914807 + 0.194448i
\(832\) 2.16302 1.07373i 0.0749894 0.0372251i
\(833\) 1.61953 + 8.48985i 0.0561132 + 0.294156i
\(834\) 23.3941 + 2.95536i 0.810070 + 0.102336i
\(835\) −27.1225 + 23.4116i −0.938614 + 0.810190i
\(836\) 16.3254 25.7248i 0.564627 0.889709i
\(837\) −18.9390 50.9255i −0.654629 1.76024i
\(838\) 15.6279 + 33.2109i 0.539855 + 1.14725i
\(839\) 41.4797 + 22.8036i 1.43204 + 0.787269i 0.993757 0.111569i \(-0.0355876\pi\)
0.438281 + 0.898838i \(0.355588\pi\)
\(840\) −13.3580 + 14.8355i −0.460893 + 0.511874i
\(841\) 3.20089 0.404366i 0.110375 0.0139436i
\(842\) 6.84049 + 21.0529i 0.235739 + 0.725529i
\(843\) 54.2408 9.17414i 1.86815 0.315974i
\(844\) 36.0218 51.8286i 1.23992 1.78401i
\(845\) −8.07040 28.9049i −0.277630 0.994359i
\(846\) 0.0571647 0.299668i 0.00196536 0.0103028i
\(847\) −3.87280 + 11.9193i −0.133071 + 0.409550i
\(848\) 0.111620 0.755890i 0.00383305 0.0259574i
\(849\) 35.7961 43.2701i 1.22852 1.48503i
\(850\) −0.886573 1.27561i −0.0304092 0.0437531i
\(851\) 7.96000 + 8.12849i 0.272865 + 0.278641i
\(852\) −68.4852 + 41.4761i −2.34626 + 1.42095i
\(853\) −18.3798 22.2174i −0.629313 0.760709i 0.355434 0.934701i \(-0.384333\pi\)
−0.984747 + 0.173992i \(0.944333\pi\)
\(854\) 8.12065 29.0849i 0.277883 0.995265i
\(855\) −2.66870 1.32475i −0.0912675 0.0453056i
\(856\) 40.2443 + 10.3330i 1.37552 + 0.353174i
\(857\) 31.3444 + 24.8432i 1.07070 + 0.848628i 0.988983 0.148027i \(-0.0472922\pi\)
0.0817193 + 0.996655i \(0.473959\pi\)
\(858\) −1.11781 0.742673i −0.0381615 0.0253545i
\(859\) 0.733880 1.40378i 0.0250397 0.0478965i −0.873360 0.487075i \(-0.838064\pi\)
0.898400 + 0.439179i \(0.144730\pi\)
\(860\) 1.80316 17.1560i 0.0614874 0.585013i
\(861\) 10.9541 + 20.9532i 0.373313 + 0.714082i
\(862\) −7.25924 + 2.87414i −0.247251 + 0.0978935i
\(863\) −33.8612 + 11.7917i −1.15265 + 0.401395i −0.836851 0.547431i \(-0.815606\pi\)
−0.315799 + 0.948826i \(0.602273\pi\)
\(864\) −24.1714 7.29778i −0.822328 0.248275i
\(865\) −16.9469 26.7041i −0.576213 0.907967i
\(866\) 25.1142 33.0867i 0.853415 1.12433i
\(867\) −9.41059 22.3869i −0.319600 0.760299i
\(868\) −51.5723 + 22.9615i −1.75048 + 0.779363i
\(869\) 15.7262 12.4644i 0.533475 0.422827i
\(870\) −48.7207 + 4.09119i −1.65179 + 0.138704i
\(871\) 0.0355878 0.0956927i 0.00120585 0.00324242i
\(872\) −7.18229 9.46232i −0.243223 0.320435i
\(873\) 2.12920 3.68788i 0.0720625 0.124816i
\(874\) 49.0093 + 84.8866i 1.65776 + 2.87133i
\(875\) 6.43062 15.2978i 0.217395 0.517162i
\(876\) −0.952506 45.4722i −0.0321822 1.53636i
\(877\) 2.83998 + 45.1401i 0.0958992 + 1.52427i 0.692313 + 0.721597i \(0.256592\pi\)
−0.596414 + 0.802677i \(0.703408\pi\)
\(878\) −44.6324 41.9126i −1.50627 1.41448i
\(879\) 22.4673 21.0982i 0.757804 0.711626i
\(880\) 0.119835 1.90473i 0.00403965 0.0642084i
\(881\) −12.7157 0.532946i −0.428403 0.0179554i −0.173300 0.984869i \(-0.555443\pi\)
−0.255104 + 0.966914i \(0.582110\pi\)
\(882\) 2.37825 + 0.941615i 0.0800797 + 0.0317058i
\(883\) 1.58675 + 15.0969i 0.0533984 + 0.508051i 0.988232 + 0.152965i \(0.0488820\pi\)
−0.934833 + 0.355087i \(0.884451\pi\)
\(884\) 0.990098 0.657820i 0.0333006 0.0221249i
\(885\) 37.0640 + 3.11235i 1.24589 + 0.104621i
\(886\) 32.7215 69.5368i 1.09930 2.33613i
\(887\) 30.3635 22.0604i 1.01951 0.740716i 0.0533258 0.998577i \(-0.483018\pi\)
0.966182 + 0.257861i \(0.0830178\pi\)
\(888\) 7.69492 2.32323i 0.258225 0.0779626i
\(889\) −16.3280 14.0940i −0.547625 0.472697i
\(890\) 18.7435 + 20.8168i 0.628283 + 0.697779i
\(891\) 3.74808 + 15.9800i 0.125565 + 0.535350i
\(892\) −64.5404 39.0871i −2.16097 1.30873i
\(893\) 0.431440 + 2.92170i 0.0144376 + 0.0977711i
\(894\) 32.1161 + 5.43202i 1.07412 + 0.181674i
\(895\) 16.7422 17.0966i 0.559631 0.571477i
\(896\) −6.78181 + 28.9144i −0.226564 + 0.965962i
\(897\) 2.36699 1.30126i 0.0790314 0.0434479i
\(898\) −29.4362 21.3866i −0.982297 0.713681i
\(899\) −52.4327 18.2590i −1.74873 0.608971i
\(900\) −0.287368 + 0.0120443i −0.00957893 + 0.000401476i
\(901\) −0.0617594 + 2.94836i −0.00205750 + 0.0982242i
\(902\) −30.5055 13.5819i −1.01572 0.452229i
\(903\) 6.00412 1.54160i 0.199805 0.0513011i
\(904\) −26.3251 5.59557i −0.875560 0.186106i
\(905\) −9.40665 −0.312687
\(906\) 0.322739 + 51.1206i 0.0107223 + 1.69837i
\(907\) −22.3081 −0.740729 −0.370364 0.928887i \(-0.620767\pi\)
−0.370364 + 0.928887i \(0.620767\pi\)
\(908\) 6.96880 + 1.48126i 0.231268 + 0.0491575i
\(909\) −2.01341 + 0.516956i −0.0667806 + 0.0171463i
\(910\) −1.43361 0.638285i −0.0475237 0.0211589i
\(911\) 0.540569 25.8065i 0.0179099 0.855008i −0.894816 0.446435i \(-0.852693\pi\)
0.912726 0.408573i \(-0.133973\pi\)
\(912\) 4.68361 0.196301i 0.155090 0.00650019i
\(913\) 25.9648 + 9.04192i 0.859311 + 0.299244i
\(914\) −64.6157 46.9461i −2.13730 1.55284i
\(915\) 30.8862 16.9798i 1.02107 0.561335i
\(916\) 0.0817599 0.348585i 0.00270142 0.0115176i
\(917\) 9.44409 9.64399i 0.311871 0.318473i
\(918\) −21.2068 3.58687i −0.699930 0.118384i
\(919\) −0.534922 3.62248i −0.0176454 0.119495i 0.978644 0.205564i \(-0.0659028\pi\)
−0.996289 + 0.0860690i \(0.972569\pi\)
\(920\) 48.5385 + 29.3960i 1.60027 + 0.969156i
\(921\) 7.30876 + 31.1611i 0.240832 + 1.02679i
\(922\) 56.2380 + 62.4587i 1.85210 + 2.05697i
\(923\) −1.91324 1.65147i −0.0629752 0.0543587i
\(924\) 15.1104 4.56209i 0.497095 0.150082i
\(925\) 0.417931 0.303645i 0.0137415 0.00998378i
\(926\) −15.0722 + 32.0300i −0.495303 + 1.05257i
\(927\) −2.60569 0.218806i −0.0855821 0.00718653i
\(928\) −21.4902 + 14.2781i −0.705451 + 0.468700i
\(929\) −1.38468 13.1744i −0.0454299 0.432237i −0.993471 0.114088i \(-0.963605\pi\)
0.948041 0.318149i \(-0.103061\pi\)
\(930\) −97.9262 38.7717i −3.21113 1.27137i
\(931\) −24.7409 1.03695i −0.810851 0.0339847i
\(932\) 0.00302595 0.0480962i 9.91184e−5 0.00157544i
\(933\) 11.5278 10.8253i 0.377402 0.354404i
\(934\) 33.4722 + 31.4325i 1.09525 + 1.02850i
\(935\) 0.462507 + 7.35133i 0.0151256 + 0.240414i
\(936\) −0.00295855 0.141240i −9.67031e−5 0.00461656i
\(937\) −10.6576 + 25.3535i −0.348169 + 0.828262i 0.649522 + 0.760343i \(0.274969\pi\)
−0.997691 + 0.0679186i \(0.978364\pi\)
\(938\) 0.959678 + 1.66221i 0.0313346 + 0.0542731i
\(939\) 10.0238 17.3618i 0.327116 0.566581i
\(940\) 2.57427 + 3.39148i 0.0839635 + 0.110618i
\(941\) −4.42988 + 11.9116i −0.144410 + 0.388307i −0.989158 0.146858i \(-0.953084\pi\)
0.844747 + 0.535165i \(0.179751\pi\)
\(942\) 19.3574 1.62549i 0.630698 0.0529612i
\(943\) 52.6707 41.7462i 1.71519 1.35944i
\(944\) −3.95756 + 1.76202i −0.128808 + 0.0573489i
\(945\) 6.88371 + 16.3757i 0.223927 + 0.532701i
\(946\) −5.29312 + 6.97343i −0.172094 + 0.226726i
\(947\) 14.7957 + 23.3143i 0.480796 + 0.757613i 0.994981 0.100066i \(-0.0319055\pi\)
−0.514185 + 0.857679i \(0.671906\pi\)
\(948\) 68.0256 + 20.5382i 2.20937 + 0.667048i
\(949\) 1.35587 0.472164i 0.0440134 0.0153271i
\(950\) 4.13819 1.63842i 0.134261 0.0531575i
\(951\) −8.11894 15.5301i −0.263275 0.503598i
\(952\) −0.938029 + 8.92475i −0.0304017 + 0.289253i
\(953\) 17.7997 34.0476i 0.576587 1.10291i −0.405431 0.914126i \(-0.632879\pi\)
0.982019 0.188784i \(-0.0604547\pi\)
\(954\) 0.726937 + 0.482976i 0.0235355 + 0.0156369i
\(955\) 34.9608 + 27.7096i 1.13130 + 0.896661i
\(956\) −8.96764 2.30250i −0.290034 0.0744681i
\(957\) 13.9046 + 6.90229i 0.449471 + 0.223119i
\(958\) −2.34986 + 8.41625i −0.0759205 + 0.271917i
\(959\) 3.81845 + 4.61572i 0.123304 + 0.149049i
\(960\) −45.3243 + 27.4494i −1.46284 + 0.885925i
\(961\) −61.9914 63.3035i −1.99972 2.04205i
\(962\) 0.360610 + 0.518849i 0.0116265 + 0.0167284i
\(963\) −2.04775 + 2.47530i −0.0659877 + 0.0797654i
\(964\) −8.77259 + 59.4079i −0.282546 + 1.91340i
\(965\) −1.55345 + 4.78103i −0.0500074 + 0.153907i
\(966\) −9.51510 + 49.8799i −0.306143 + 1.60486i
\(967\) −8.85710 31.7225i −0.284825 1.02013i −0.959429 0.281949i \(-0.909019\pi\)
0.674604 0.738179i \(-0.264314\pi\)
\(968\) 14.3645 20.6678i 0.461692 0.664288i
\(969\) −17.8390 + 3.01724i −0.573071 + 0.0969277i
\(970\) 29.3567 + 90.3508i 0.942588 + 2.90099i
\(971\) −15.1345 + 1.91193i −0.485689 + 0.0613568i −0.364365 0.931256i \(-0.618714\pi\)
−0.121324 + 0.992613i \(0.538714\pi\)
\(972\) −5.56076 + 6.17585i −0.178362 + 0.198091i
\(973\) −7.67159 4.21749i −0.245940 0.135207i
\(974\) −22.9740 48.8223i −0.736136 1.56437i
\(975\) −0.0427519 0.114956i −0.00136916 0.00368155i
\(976\) −2.19964 + 3.46608i −0.0704088 + 0.110947i
\(977\) 24.4850 21.1349i 0.783345 0.676165i −0.167486 0.985874i \(-0.553565\pi\)
0.950831 + 0.309709i \(0.100232\pi\)
\(978\) 46.4966 + 5.87389i 1.48680 + 0.187826i
\(979\) −1.66654 8.73631i −0.0532628 0.279214i
\(980\) −31.9766 + 15.8733i −1.02145 + 0.507054i
\(981\) 0.898421 0.190965i 0.0286844 0.00609705i
\(982\) 13.1974 2.80519i 0.421146 0.0895174i
\(983\) −8.30671 + 4.12348i −0.264943 + 0.131519i −0.572217 0.820102i \(-0.693916\pi\)
0.307274 + 0.951621i \(0.400583\pi\)
\(984\) −8.89758 46.6428i −0.283645 1.48692i
\(985\) 43.3065 + 5.47088i 1.37986 + 0.174317i
\(986\) −16.6374 + 14.3610i −0.529842 + 0.457348i
\(987\) −0.819829 + 1.29184i −0.0260954 + 0.0411198i
\(988\) 1.18714 + 3.19213i 0.0377680 + 0.101555i
\(989\) −7.50245 15.9435i −0.238564 0.506974i
\(990\) 1.91028 + 1.05019i 0.0607127 + 0.0333771i
\(991\) −14.3791 + 15.9696i −0.456768 + 0.507292i −0.926902 0.375303i \(-0.877539\pi\)
0.470134 + 0.882595i \(0.344205\pi\)
\(992\) −55.1416 + 6.96600i −1.75075 + 0.221171i
\(993\) 4.02351 + 12.3831i 0.127682 + 0.392966i
\(994\) 46.8489 7.92390i 1.48596 0.251331i
\(995\) −2.17810 + 3.13387i −0.0690503 + 0.0993504i
\(996\) 26.1819 + 93.7730i 0.829605 + 2.97131i
\(997\) −8.83946 + 46.3380i −0.279948 + 1.46754i 0.513072 + 0.858346i \(0.328507\pi\)
−0.793020 + 0.609195i \(0.791493\pi\)
\(998\) −19.7103 + 60.6619i −0.623917 + 1.92022i
\(999\) 1.04484 7.07567i 0.0330574 0.223864i
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 151.2.k.a.21.2 480
151.36 even 75 inner 151.2.k.a.36.2 yes 480
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
151.2.k.a.21.2 480 1.1 even 1 trivial
151.2.k.a.36.2 yes 480 151.36 even 75 inner