Properties

Label 245.2.x.a.213.20
Level $245$
Weight $2$
Character 245.213
Analytic conductor $1.956$
Analytic rank $0$
Dimension $624$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [245,2,Mod(3,245)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(245, base_ring=CyclotomicField(84))
 
chi = DirichletCharacter(H, H._module([63, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("245.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 245 = 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 245.x (of order \(84\), degree \(24\), 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: \(1.95633484952\)
Analytic rank: \(0\)
Dimension: \(624\)
Relative dimension: \(26\) over \(\Q(\zeta_{84})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label 213.20
Character \(\chi\) \(=\) 245.213
Dual form 245.2.x.a.222.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.11552 + 0.959983i) q^{2} +(-2.92353 + 1.54513i) q^{3} +(0.0247339 + 0.164099i) q^{4} +(-0.764828 - 2.10120i) q^{5} +(-4.74455 - 1.08291i) q^{6} +(-2.64082 - 0.161542i) q^{7} +(1.43606 - 2.28548i) q^{8} +(4.46963 - 6.55575i) q^{9} +O(q^{10})\) \(q+(1.11552 + 0.959983i) q^{2} +(-2.92353 + 1.54513i) q^{3} +(0.0247339 + 0.164099i) q^{4} +(-0.764828 - 2.10120i) q^{5} +(-4.74455 - 1.08291i) q^{6} +(-2.64082 - 0.161542i) q^{7} +(1.43606 - 2.28548i) q^{8} +(4.46963 - 6.55575i) q^{9} +(1.16393 - 3.07815i) q^{10} +(-2.72820 + 1.86005i) q^{11} +(-0.325864 - 0.441530i) q^{12} +(-2.33851 + 0.818278i) q^{13} +(-2.79081 - 2.71534i) q^{14} +(5.48262 + 4.96116i) q^{15} +(4.11313 - 1.26873i) q^{16} +(0.267570 - 0.613278i) q^{17} +(11.2794 - 3.02230i) q^{18} +(-2.66038 - 4.60792i) q^{19} +(0.325887 - 0.177478i) q^{20} +(7.97010 - 3.60813i) q^{21} +(-4.82898 - 0.544095i) q^{22} +(-1.03096 + 0.449805i) q^{23} +(-0.667005 + 8.90056i) q^{24} +(-3.83008 + 3.21411i) q^{25} +(-3.39418 - 1.33212i) q^{26} +(-1.82691 + 16.2143i) q^{27} +(-0.0388089 - 0.437350i) q^{28} +(-6.41683 - 5.11725i) q^{29} +(1.35335 + 10.7975i) q^{30} +(1.62430 + 0.937790i) q^{31} +(0.858277 + 0.374462i) q^{32} +(5.10194 - 9.65334i) q^{33} +(0.887216 - 0.427261i) q^{34} +(1.68034 + 5.67243i) q^{35} +(1.18634 + 0.571312i) q^{36} +(-1.97987 + 1.46121i) q^{37} +(1.45581 - 7.69415i) q^{38} +(5.57234 - 6.00556i) q^{39} +(-5.90058 - 1.26945i) q^{40} +(1.69549 - 0.386984i) q^{41} +(12.3546 + 3.62622i) q^{42} +(-1.16943 + 0.734804i) q^{43} +(-0.372711 - 0.401687i) q^{44} +(-17.1934 - 4.37757i) q^{45} +(-1.58187 - 0.487942i) q^{46} +(-1.49954 + 1.74250i) q^{47} +(-10.0645 + 10.0645i) q^{48} +(6.94781 + 0.853205i) q^{49} +(-7.35802 - 0.0914007i) q^{50} +(0.165344 + 2.20637i) q^{51} +(-0.192119 - 0.363507i) q^{52} +(6.87503 + 5.07400i) q^{53} +(-17.6034 + 16.3336i) q^{54} +(5.99494 + 4.30986i) q^{55} +(-4.16157 + 5.80354i) q^{56} +(14.8975 + 9.36075i) q^{57} +(-2.24563 - 11.8684i) q^{58} +(-0.829101 - 0.769293i) q^{59} +(-0.678513 + 1.02240i) q^{60} +(0.862972 - 5.72545i) q^{61} +(0.911677 + 2.60542i) q^{62} +(-12.8625 + 16.5905i) q^{63} +(-3.13724 - 6.51455i) q^{64} +(3.50792 + 4.28782i) q^{65} +(14.9584 - 5.87072i) q^{66} +(-2.70151 - 10.0822i) q^{67} +(0.107256 + 0.0287392i) q^{68} +(2.31905 - 2.90799i) q^{69} +(-3.57099 + 7.94081i) q^{70} +(6.40888 + 8.03648i) q^{71} +(-8.56435 - 19.6297i) q^{72} +(1.40156 + 1.62864i) q^{73} +(-3.61132 - 0.270631i) q^{74} +(6.23112 - 15.3145i) q^{75} +(0.690353 - 0.550538i) q^{76} +(7.50514 - 4.47134i) q^{77} +(11.9813 - 1.34997i) q^{78} +(1.66834 - 0.963216i) q^{79} +(-5.81170 - 7.67215i) q^{80} +(-11.0158 - 28.0678i) q^{81} +(2.26285 + 1.19595i) q^{82} +(1.97315 - 5.63895i) q^{83} +(0.789222 + 1.21864i) q^{84} +(-1.49326 - 0.0931666i) q^{85} +(-2.00993 - 0.302948i) q^{86} +(26.6666 + 5.04559i) q^{87} +(0.333253 + 8.90638i) q^{88} +(12.6505 + 8.62494i) q^{89} +(-14.9772 - 21.3887i) q^{90} +(6.30775 - 1.78316i) q^{91} +(-0.0993123 - 0.158055i) q^{92} +(-6.19769 - 0.231901i) q^{93} +(-3.34554 + 0.504260i) q^{94} +(-7.64742 + 9.11426i) q^{95} +(-3.08779 + 0.231398i) q^{96} +(-9.12354 - 9.12354i) q^{97} +(6.93136 + 7.62154i) q^{98} +26.1991i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 624 q - 26 q^{2} - 22 q^{3} - 28 q^{5} - 28 q^{6} - 18 q^{7} - 24 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 624 q - 26 q^{2} - 22 q^{3} - 28 q^{5} - 28 q^{6} - 18 q^{7} - 24 q^{8} - 34 q^{10} - 56 q^{11} - 34 q^{12} - 28 q^{13} + 12 q^{15} - 100 q^{16} - 26 q^{17} - 10 q^{18} - 28 q^{20} - 76 q^{21} - 48 q^{22} - 34 q^{23} - 24 q^{25} - 60 q^{26} - 28 q^{27} - 46 q^{28} - 10 q^{30} - 60 q^{31} + 54 q^{32} - 28 q^{33} - 20 q^{35} + 116 q^{36} - 20 q^{37} + 12 q^{38} - 46 q^{40} - 114 q^{42} - 24 q^{43} + 60 q^{45} + 108 q^{46} - 94 q^{47} - 296 q^{50} + 52 q^{51} - 52 q^{52} - 106 q^{53} + 14 q^{55} + 96 q^{56} + 72 q^{57} - 142 q^{58} - 26 q^{60} + 80 q^{61} - 56 q^{62} - 24 q^{63} - 20 q^{65} - 240 q^{66} - 8 q^{67} - 30 q^{68} + 180 q^{70} + 48 q^{71} + 138 q^{72} - 4 q^{73} - 106 q^{75} + 56 q^{76} - 8 q^{77} - 204 q^{78} - 18 q^{80} - 284 q^{81} - 162 q^{82} + 182 q^{83} - 36 q^{85} - 76 q^{86} - 74 q^{87} + 288 q^{88} - 112 q^{90} + 44 q^{91} - 8 q^{92} + 368 q^{93} + 26 q^{95} + 136 q^{96} + 304 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.11552 + 0.959983i 0.788792 + 0.678810i 0.951426 0.307876i \(-0.0996182\pi\)
−0.162635 + 0.986686i \(0.551999\pi\)
\(3\) −2.92353 + 1.54513i −1.68790 + 0.892081i −0.704710 + 0.709495i \(0.748923\pi\)
−0.983190 + 0.182586i \(0.941553\pi\)
\(4\) 0.0247339 + 0.164099i 0.0123670 + 0.0820494i
\(5\) −0.764828 2.10120i −0.342041 0.939685i
\(6\) −4.74455 1.08291i −1.93696 0.442098i
\(7\) −2.64082 0.161542i −0.998134 0.0610571i
\(8\) 1.43606 2.28548i 0.507724 0.808038i
\(9\) 4.46963 6.55575i 1.48988 2.18525i
\(10\) 1.16393 3.07815i 0.368068 0.973397i
\(11\) −2.72820 + 1.86005i −0.822582 + 0.560827i −0.899858 0.436183i \(-0.856330\pi\)
0.0772760 + 0.997010i \(0.475378\pi\)
\(12\) −0.325864 0.441530i −0.0940689 0.127459i
\(13\) −2.33851 + 0.818278i −0.648585 + 0.226950i −0.634466 0.772951i \(-0.718780\pi\)
−0.0141186 + 0.999900i \(0.504494\pi\)
\(14\) −2.79081 2.71534i −0.745874 0.725705i
\(15\) 5.48262 + 4.96116i 1.41561 + 1.28097i
\(16\) 4.11313 1.26873i 1.02828 0.317183i
\(17\) 0.267570 0.613278i 0.0648953 0.148742i −0.881092 0.472944i \(-0.843191\pi\)
0.945988 + 0.324203i \(0.105096\pi\)
\(18\) 11.2794 3.02230i 2.65857 0.712363i
\(19\) −2.66038 4.60792i −0.610334 1.05713i −0.991184 0.132493i \(-0.957702\pi\)
0.380850 0.924637i \(-0.375631\pi\)
\(20\) 0.325887 0.177478i 0.0728706 0.0396853i
\(21\) 7.97010 3.60813i 1.73922 0.787359i
\(22\) −4.82898 0.544095i −1.02954 0.116001i
\(23\) −1.03096 + 0.449805i −0.214971 + 0.0937909i −0.504618 0.863343i \(-0.668367\pi\)
0.289647 + 0.957133i \(0.406462\pi\)
\(24\) −0.667005 + 8.90056i −0.136152 + 1.81682i
\(25\) −3.83008 + 3.21411i −0.766015 + 0.642822i
\(26\) −3.39418 1.33212i −0.665654 0.261250i
\(27\) −1.82691 + 16.2143i −0.351589 + 3.12044i
\(28\) −0.0388089 0.437350i −0.00733418 0.0826514i
\(29\) −6.41683 5.11725i −1.19157 0.950249i −0.192060 0.981383i \(-0.561517\pi\)
−0.999515 + 0.0311340i \(0.990088\pi\)
\(30\) 1.35335 + 10.7975i 0.247087 + 1.97134i
\(31\) 1.62430 + 0.937790i 0.291733 + 0.168432i 0.638723 0.769437i \(-0.279463\pi\)
−0.346990 + 0.937869i \(0.612796\pi\)
\(32\) 0.858277 + 0.374462i 0.151723 + 0.0661962i
\(33\) 5.10194 9.65334i 0.888133 1.68043i
\(34\) 0.887216 0.427261i 0.152156 0.0732746i
\(35\) 1.68034 + 5.67243i 0.284029 + 0.958816i
\(36\) 1.18634 + 0.571312i 0.197724 + 0.0952187i
\(37\) −1.97987 + 1.46121i −0.325488 + 0.240221i −0.744290 0.667856i \(-0.767212\pi\)
0.418802 + 0.908078i \(0.362450\pi\)
\(38\) 1.45581 7.69415i 0.236164 1.24816i
\(39\) 5.57234 6.00556i 0.892289 0.961658i
\(40\) −5.90058 1.26945i −0.932964 0.200718i
\(41\) 1.69549 0.386984i 0.264791 0.0604368i −0.0880642 0.996115i \(-0.528068\pi\)
0.352855 + 0.935678i \(0.385211\pi\)
\(42\) 12.3546 + 3.62622i 1.90635 + 0.559538i
\(43\) −1.16943 + 0.734804i −0.178337 + 0.112057i −0.618242 0.785988i \(-0.712155\pi\)
0.439905 + 0.898044i \(0.355012\pi\)
\(44\) −0.372711 0.401687i −0.0561884 0.0605566i
\(45\) −17.1934 4.37757i −2.56305 0.652570i
\(46\) −1.58187 0.487942i −0.233234 0.0719431i
\(47\) −1.49954 + 1.74250i −0.218731 + 0.254170i −0.856607 0.515969i \(-0.827432\pi\)
0.637876 + 0.770139i \(0.279813\pi\)
\(48\) −10.0645 + 10.0645i −1.45269 + 1.45269i
\(49\) 6.94781 + 0.853205i 0.992544 + 0.121886i
\(50\) −7.35802 0.0914007i −1.04058 0.0129260i
\(51\) 0.165344 + 2.20637i 0.0231528 + 0.308953i
\(52\) −0.192119 0.363507i −0.0266421 0.0504093i
\(53\) 6.87503 + 5.07400i 0.944358 + 0.696968i 0.952992 0.302995i \(-0.0979865\pi\)
−0.00863412 + 0.999963i \(0.502748\pi\)
\(54\) −17.6034 + 16.3336i −2.39552 + 2.22272i
\(55\) 5.99494 + 4.30986i 0.808358 + 0.581142i
\(56\) −4.16157 + 5.80354i −0.556113 + 0.775531i
\(57\) 14.8975 + 9.36075i 1.97323 + 1.23986i
\(58\) −2.24563 11.8684i −0.294866 1.55840i
\(59\) −0.829101 0.769293i −0.107940 0.100153i 0.624357 0.781139i \(-0.285361\pi\)
−0.732297 + 0.680986i \(0.761552\pi\)
\(60\) −0.678513 + 1.02240i −0.0875957 + 0.131991i
\(61\) 0.862972 5.72545i 0.110492 0.733068i −0.863143 0.504959i \(-0.831508\pi\)
0.973636 0.228109i \(-0.0732543\pi\)
\(62\) 0.911677 + 2.60542i 0.115783 + 0.330889i
\(63\) −12.8625 + 16.5905i −1.62052 + 2.09021i
\(64\) −3.13724 6.51455i −0.392155 0.814318i
\(65\) 3.50792 + 4.28782i 0.435104 + 0.531839i
\(66\) 14.9584 5.87072i 1.84125 0.722636i
\(67\) −2.70151 10.0822i −0.330042 1.23173i −0.909145 0.416479i \(-0.863264\pi\)
0.579103 0.815254i \(-0.303403\pi\)
\(68\) 0.107256 + 0.0287392i 0.0130067 + 0.00348514i
\(69\) 2.31905 2.90799i 0.279181 0.350081i
\(70\) −3.57099 + 7.94081i −0.426814 + 0.949108i
\(71\) 6.40888 + 8.03648i 0.760594 + 0.953755i 0.999852 0.0172012i \(-0.00547559\pi\)
−0.239258 + 0.970956i \(0.576904\pi\)
\(72\) −8.56435 19.6297i −1.00932 2.31338i
\(73\) 1.40156 + 1.62864i 0.164040 + 0.190618i 0.833976 0.551801i \(-0.186059\pi\)
−0.669936 + 0.742419i \(0.733678\pi\)
\(74\) −3.61132 0.270631i −0.419807 0.0314602i
\(75\) 6.23112 15.3145i 0.719508 1.76837i
\(76\) 0.690353 0.550538i 0.0791889 0.0631510i
\(77\) 7.50514 4.47134i 0.855290 0.509556i
\(78\) 11.9813 1.34997i 1.35661 0.152854i
\(79\) 1.66834 0.963216i 0.187703 0.108370i −0.403204 0.915110i \(-0.632103\pi\)
0.590907 + 0.806740i \(0.298770\pi\)
\(80\) −5.81170 7.67215i −0.649768 0.857772i
\(81\) −11.0158 28.0678i −1.22398 3.11865i
\(82\) 2.26285 + 1.19595i 0.249890 + 0.132071i
\(83\) 1.97315 5.63895i 0.216582 0.618955i −0.783415 0.621499i \(-0.786524\pi\)
0.999997 + 0.00254399i \(0.000809777\pi\)
\(84\) 0.789222 + 1.21864i 0.0861112 + 0.132965i
\(85\) −1.49326 0.0931666i −0.161967 0.0101053i
\(86\) −2.00993 0.302948i −0.216736 0.0326677i
\(87\) 26.6666 + 5.04559i 2.85896 + 0.540944i
\(88\) 0.333253 + 8.90638i 0.0355249 + 0.949423i
\(89\) 12.6505 + 8.62494i 1.34095 + 0.914242i 0.999669 0.0257204i \(-0.00818797\pi\)
0.341278 + 0.939963i \(0.389140\pi\)
\(90\) −14.9772 21.3887i −1.57874 2.25456i
\(91\) 6.30775 1.78316i 0.661231 0.186925i
\(92\) −0.0993123 0.158055i −0.0103540 0.0164783i
\(93\) −6.19769 0.231901i −0.642671 0.0240470i
\(94\) −3.34554 + 0.504260i −0.345067 + 0.0520104i
\(95\) −7.64742 + 9.11426i −0.784609 + 0.935104i
\(96\) −3.08779 + 0.231398i −0.315146 + 0.0236169i
\(97\) −9.12354 9.12354i −0.926355 0.926355i 0.0711134 0.997468i \(-0.477345\pi\)
−0.997468 + 0.0711134i \(0.977345\pi\)
\(98\) 6.93136 + 7.62154i 0.700173 + 0.769892i
\(99\) 26.1991i 2.63311i
\(100\) −0.622165 0.549013i −0.0622165 0.0549013i
\(101\) −1.39629 + 4.52665i −0.138936 + 0.450419i −0.998123 0.0612427i \(-0.980494\pi\)
0.859187 + 0.511662i \(0.170970\pi\)
\(102\) −1.93363 + 2.61997i −0.191458 + 0.259416i
\(103\) 0.729545 19.4975i 0.0718842 1.92115i −0.239561 0.970881i \(-0.577004\pi\)
0.311445 0.950264i \(-0.399187\pi\)
\(104\) −1.48808 + 6.51970i −0.145918 + 0.639309i
\(105\) −13.6772 13.9872i −1.33475 1.36501i
\(106\) 2.79828 + 12.2601i 0.271793 + 1.19080i
\(107\) −4.06225 + 0.768620i −0.392713 + 0.0743053i −0.378518 0.925594i \(-0.623566\pi\)
−0.0141950 + 0.999899i \(0.504519\pi\)
\(108\) −2.70593 + 0.101249i −0.260378 + 0.00974267i
\(109\) −0.171092 0.250946i −0.0163876 0.0240362i 0.817958 0.575279i \(-0.195106\pi\)
−0.834345 + 0.551242i \(0.814154\pi\)
\(110\) 2.55008 + 10.5628i 0.243141 + 1.00712i
\(111\) 3.53044 7.33104i 0.335095 0.695832i
\(112\) −11.0670 + 2.68605i −1.04573 + 0.253808i
\(113\) −9.88368 3.45845i −0.929778 0.325343i −0.177448 0.984130i \(-0.556784\pi\)
−0.752330 + 0.658787i \(0.771070\pi\)
\(114\) 7.63236 + 24.7435i 0.714836 + 2.31744i
\(115\) 1.73364 + 1.82224i 0.161663 + 0.169925i
\(116\) 0.681021 1.17956i 0.0632312 0.109520i
\(117\) −5.08784 + 18.9881i −0.470371 + 1.75545i
\(118\) −0.186371 1.65408i −0.0171568 0.152271i
\(119\) −0.805674 + 1.57633i −0.0738560 + 0.144502i
\(120\) 19.2120 5.40589i 1.75381 0.493488i
\(121\) −0.0354929 + 0.0904345i −0.00322663 + 0.00822132i
\(122\) 6.45899 5.55841i 0.584770 0.503235i
\(123\) −4.35887 + 3.75111i −0.393026 + 0.338226i
\(124\) −0.113715 + 0.289741i −0.0102119 + 0.0260195i
\(125\) 9.68284 + 5.58951i 0.866059 + 0.499941i
\(126\) −30.2750 + 6.15924i −2.69711 + 0.548709i
\(127\) −1.89343 16.8046i −0.168015 1.49117i −0.740944 0.671566i \(-0.765622\pi\)
0.572930 0.819605i \(-0.305807\pi\)
\(128\) 3.23892 12.0878i 0.286283 1.06842i
\(129\) 2.28351 3.95515i 0.201051 0.348231i
\(130\) −0.203081 + 8.15070i −0.0178114 + 0.714863i
\(131\) 4.22920 + 13.7107i 0.369507 + 1.19791i 0.929315 + 0.369289i \(0.120399\pi\)
−0.559808 + 0.828622i \(0.689125\pi\)
\(132\) 1.71029 + 0.598457i 0.148862 + 0.0520890i
\(133\) 6.28121 + 12.5984i 0.544650 + 1.09242i
\(134\) 6.66512 13.8403i 0.575779 1.19562i
\(135\) 35.4667 8.56243i 3.05249 0.736937i
\(136\) −1.01739 1.49223i −0.0872401 0.127958i
\(137\) 2.65140 0.0992085i 0.226525 0.00847596i 0.0761121 0.997099i \(-0.475749\pi\)
0.150413 + 0.988623i \(0.451940\pi\)
\(138\) 5.37857 1.01768i 0.457854 0.0866307i
\(139\) −3.88969 17.0418i −0.329919 1.44547i −0.819283 0.573389i \(-0.805628\pi\)
0.489364 0.872080i \(-0.337229\pi\)
\(140\) −0.889278 + 0.416043i −0.0751577 + 0.0351620i
\(141\) 1.69157 7.41125i 0.142456 0.624140i
\(142\) −0.565648 + 15.1173i −0.0474682 + 1.26861i
\(143\) 4.85786 6.58217i 0.406235 0.550428i
\(144\) 10.0667 32.6355i 0.838892 2.71962i
\(145\) −5.84459 + 17.3968i −0.485367 + 1.44473i
\(146\) 3.16225i 0.261710i
\(147\) −21.6304 + 8.24090i −1.78405 + 0.679698i
\(148\) −0.288753 0.288753i −0.0237353 0.0237353i
\(149\) −18.7017 + 1.40150i −1.53210 + 0.114815i −0.813895 0.581012i \(-0.802657\pi\)
−0.718209 + 0.695828i \(0.755038\pi\)
\(150\) 21.6526 11.1019i 1.76793 0.906465i
\(151\) −4.38141 + 0.660392i −0.356554 + 0.0537419i −0.324877 0.945756i \(-0.605323\pi\)
−0.0316772 + 0.999498i \(0.510085\pi\)
\(152\) −14.3518 0.537006i −1.16408 0.0435569i
\(153\) −2.82455 4.49525i −0.228352 0.363420i
\(154\) 12.6645 + 2.21694i 1.02054 + 0.178646i
\(155\) 0.728173 4.13022i 0.0584883 0.331748i
\(156\) 1.12333 + 0.765874i 0.0899384 + 0.0613190i
\(157\) −0.0368505 0.984851i −0.00294099 0.0785996i −0.999998 0.00193755i \(-0.999383\pi\)
0.997057 0.0766621i \(-0.0244263\pi\)
\(158\) 2.78574 + 0.527090i 0.221621 + 0.0419330i
\(159\) −27.9393 4.21118i −2.21573 0.333968i
\(160\) 0.130386 2.08981i 0.0103079 0.165214i
\(161\) 2.79525 1.02131i 0.220297 0.0804904i
\(162\) 14.6563 41.8852i 1.15151 3.29081i
\(163\) 13.3902 + 7.07694i 1.04880 + 0.554309i 0.900600 0.434648i \(-0.143127\pi\)
0.148203 + 0.988957i \(0.452651\pi\)
\(164\) 0.105440 + 0.268656i 0.00823346 + 0.0209785i
\(165\) −24.1857 3.33705i −1.88285 0.259789i
\(166\) 7.61438 4.39617i 0.590991 0.341209i
\(167\) −7.27149 + 0.819301i −0.562685 + 0.0633994i −0.388726 0.921353i \(-0.627085\pi\)
−0.173959 + 0.984753i \(0.555656\pi\)
\(168\) 3.19925 23.3970i 0.246828 1.80512i
\(169\) −5.36478 + 4.27827i −0.412676 + 0.329098i
\(170\) −1.57633 1.53744i −0.120899 0.117916i
\(171\) −42.0993 3.15491i −3.21942 0.241262i
\(172\) −0.149505 0.173728i −0.0113997 0.0132466i
\(173\) −1.77083 4.05879i −0.134634 0.308584i 0.836165 0.548477i \(-0.184792\pi\)
−0.970799 + 0.239893i \(0.922888\pi\)
\(174\) 24.9034 + 31.2279i 1.88793 + 2.36738i
\(175\) 10.6337 7.86916i 0.803835 0.594852i
\(176\) −8.86152 + 11.1120i −0.667962 + 0.837598i
\(177\) 3.61256 + 0.967982i 0.271536 + 0.0727580i
\(178\) 5.83206 + 21.7655i 0.437131 + 1.63140i
\(179\) −13.7528 + 5.39759i −1.02793 + 0.403435i −0.818572 0.574404i \(-0.805234\pi\)
−0.209362 + 0.977838i \(0.567139\pi\)
\(180\) 0.293093 2.92970i 0.0218459 0.218367i
\(181\) −8.20803 17.0441i −0.610098 1.26688i −0.945750 0.324895i \(-0.894671\pi\)
0.335652 0.941986i \(-0.391043\pi\)
\(182\) 8.74822 + 4.06618i 0.648461 + 0.301405i
\(183\) 6.32364 + 18.0719i 0.467457 + 1.33591i
\(184\) −0.452508 + 3.00220i −0.0333593 + 0.221325i
\(185\) 4.58455 + 3.04252i 0.337063 + 0.223691i
\(186\) −6.69103 6.20837i −0.490610 0.455220i
\(187\) 0.410744 + 2.17084i 0.0300366 + 0.158747i
\(188\) −0.323032 0.202975i −0.0235595 0.0148034i
\(189\) 7.44382 42.5238i 0.541458 3.09315i
\(190\) −17.2804 + 2.82575i −1.25365 + 0.205002i
\(191\) 15.7223 14.5882i 1.13763 1.05556i 0.139767 0.990184i \(-0.455365\pi\)
0.997860 0.0653796i \(-0.0208258\pi\)
\(192\) 19.2376 + 14.1980i 1.38836 + 1.02465i
\(193\) −5.50567 10.4172i −0.396307 0.749849i 0.602529 0.798097i \(-0.294160\pi\)
−0.998835 + 0.0482486i \(0.984636\pi\)
\(194\) −1.41905 18.9359i −0.101882 1.35952i
\(195\) −16.8808 7.11538i −1.20886 0.509543i
\(196\) 0.0318366 + 1.16123i 0.00227405 + 0.0829450i
\(197\) 10.8854 10.8854i 0.775554 0.775554i −0.203518 0.979071i \(-0.565237\pi\)
0.979071 + 0.203518i \(0.0652374\pi\)
\(198\) −25.1507 + 29.2257i −1.78738 + 2.07698i
\(199\) 10.7630 + 3.31995i 0.762970 + 0.235345i 0.651733 0.758449i \(-0.274042\pi\)
0.111237 + 0.993794i \(0.464519\pi\)
\(200\) 1.84556 + 13.3692i 0.130501 + 0.945346i
\(201\) 23.4762 + 25.3013i 1.65588 + 1.78462i
\(202\) −5.90310 + 3.70916i −0.415341 + 0.260976i
\(203\) 16.1190 + 14.5503i 1.13133 + 1.02123i
\(204\) −0.357972 + 0.0817049i −0.0250631 + 0.00572048i
\(205\) −2.10989 3.26658i −0.147361 0.228148i
\(206\) 19.5311 21.0495i 1.36080 1.46659i
\(207\) −1.65922 + 8.76921i −0.115324 + 0.609502i
\(208\) −8.58041 + 6.33263i −0.594944 + 0.439089i
\(209\) 15.8290 + 7.62286i 1.09492 + 0.527284i
\(210\) −1.82970 28.7328i −0.126261 1.98275i
\(211\) −19.5555 + 9.41745i −1.34626 + 0.648324i −0.961528 0.274705i \(-0.911420\pi\)
−0.384730 + 0.923029i \(0.625705\pi\)
\(212\) −0.662591 + 1.25368i −0.0455070 + 0.0861034i
\(213\) −31.1540 13.5923i −2.13463 0.931331i
\(214\) −5.26939 3.04228i −0.360208 0.207966i
\(215\) 2.43839 + 1.89521i 0.166296 + 0.129253i
\(216\) 34.4338 + 27.4601i 2.34293 + 1.86842i
\(217\) −4.13798 2.73892i −0.280904 0.185930i
\(218\) 0.0500471 0.444180i 0.00338962 0.0300837i
\(219\) −6.61395 2.59578i −0.446929 0.175407i
\(220\) −0.558965 + 1.09036i −0.0376854 + 0.0735122i
\(221\) −0.123883 + 1.65310i −0.00833325 + 0.111200i
\(222\) 10.9760 4.78876i 0.736658 0.321401i
\(223\) −16.7787 1.89051i −1.12359 0.126598i −0.469439 0.882965i \(-0.655544\pi\)
−0.654147 + 0.756367i \(0.726972\pi\)
\(224\) −2.20606 1.12753i −0.147398 0.0753365i
\(225\) 3.95187 + 39.4749i 0.263458 + 2.63166i
\(226\) −7.70539 13.3461i −0.512555 0.887771i
\(227\) −3.55888 + 0.953598i −0.236211 + 0.0632925i −0.374983 0.927032i \(-0.622351\pi\)
0.138772 + 0.990324i \(0.455685\pi\)
\(228\) −1.16761 + 2.67620i −0.0773271 + 0.177236i
\(229\) 4.70368 1.45089i 0.310828 0.0958778i −0.135417 0.990789i \(-0.543237\pi\)
0.446245 + 0.894911i \(0.352761\pi\)
\(230\) 0.184594 + 3.69701i 0.0121718 + 0.243774i
\(231\) −15.0327 + 24.6685i −0.989078 + 1.62307i
\(232\) −20.9103 + 7.31684i −1.37283 + 0.480374i
\(233\) −0.709271 0.961027i −0.0464659 0.0629590i 0.780749 0.624845i \(-0.214838\pi\)
−0.827215 + 0.561886i \(0.810076\pi\)
\(234\) −23.9038 + 16.2973i −1.56264 + 1.06539i
\(235\) 4.80824 + 1.81813i 0.313655 + 0.118602i
\(236\) 0.105733 0.155082i 0.00688264 0.0100950i
\(237\) −3.38914 + 5.39379i −0.220148 + 0.350364i
\(238\) −2.41199 + 0.984994i −0.156346 + 0.0638477i
\(239\) −5.20147 1.18720i −0.336455 0.0767937i 0.0509556 0.998701i \(-0.483773\pi\)
−0.387411 + 0.921907i \(0.626630\pi\)
\(240\) 28.8452 + 13.4499i 1.86195 + 0.868188i
\(241\) −1.33303 8.84406i −0.0858679 0.569696i −0.989849 0.142124i \(-0.954607\pi\)
0.903981 0.427573i \(-0.140631\pi\)
\(242\) −0.126409 + 0.0668089i −0.00812586 + 0.00429464i
\(243\) 38.4703 + 33.1064i 2.46787 + 2.12378i
\(244\) 0.960883 0.0615143
\(245\) −3.52113 15.2513i −0.224956 0.974369i
\(246\) −8.46341 −0.539607
\(247\) 9.99188 + 8.59871i 0.635768 + 0.547123i
\(248\) 4.47589 2.36558i 0.284219 0.150214i
\(249\) 2.94434 + 19.5344i 0.186590 + 1.23794i
\(250\) 5.43557 + 15.5306i 0.343776 + 0.982240i
\(251\) 22.6523 + 5.17024i 1.42980 + 0.326343i 0.866197 0.499703i \(-0.166557\pi\)
0.563604 + 0.826045i \(0.309415\pi\)
\(252\) −3.04062 1.70037i −0.191541 0.107114i
\(253\) 1.97601 3.14481i 0.124231 0.197712i
\(254\) 14.0200 20.5636i 0.879694 1.29027i
\(255\) 4.50955 2.03491i 0.282399 0.127431i
\(256\) 3.26876 2.22860i 0.204297 0.139288i
\(257\) 5.50559 + 7.45980i 0.343429 + 0.465330i 0.941938 0.335786i \(-0.109002\pi\)
−0.598509 + 0.801116i \(0.704240\pi\)
\(258\) 6.34417 2.21992i 0.394971 0.138206i
\(259\) 5.46451 3.53895i 0.339548 0.219900i
\(260\) −0.616862 + 0.681700i −0.0382562 + 0.0422772i
\(261\) −62.2283 + 19.1949i −3.85183 + 1.18813i
\(262\) −8.44430 + 19.3545i −0.521691 + 1.19573i
\(263\) 7.61065 2.03927i 0.469293 0.125747i −0.0164197 0.999865i \(-0.505227\pi\)
0.485713 + 0.874119i \(0.338560\pi\)
\(264\) −14.7358 25.5231i −0.906925 1.57084i
\(265\) 5.40328 18.3265i 0.331921 1.12579i
\(266\) −5.08746 + 20.0837i −0.311932 + 1.23141i
\(267\) −50.3107 5.66865i −3.07896 0.346916i
\(268\) 1.58765 0.692686i 0.0969813 0.0423125i
\(269\) −1.02209 + 13.6389i −0.0623180 + 0.831577i 0.875227 + 0.483713i \(0.160712\pi\)
−0.937545 + 0.347864i \(0.886907\pi\)
\(270\) 47.7836 + 24.4959i 2.90802 + 1.49077i
\(271\) −5.97855 2.34641i −0.363171 0.142534i 0.176737 0.984258i \(-0.443446\pi\)
−0.539908 + 0.841724i \(0.681541\pi\)
\(272\) 0.322466 2.86197i 0.0195524 0.173532i
\(273\) −15.6857 + 14.9594i −0.949340 + 0.905384i
\(274\) 3.05293 + 2.43463i 0.184434 + 0.147082i
\(275\) 4.47078 15.8929i 0.269598 0.958376i
\(276\) 0.534557 + 0.308627i 0.0321766 + 0.0185772i
\(277\) 5.78577 + 2.52431i 0.347633 + 0.151671i 0.566452 0.824095i \(-0.308316\pi\)
−0.218819 + 0.975766i \(0.570220\pi\)
\(278\) 12.0208 22.7445i 0.720962 1.36413i
\(279\) 13.4079 6.45692i 0.802712 0.386566i
\(280\) 15.3773 + 4.30558i 0.918968 + 0.257308i
\(281\) 18.6916 + 9.00142i 1.11505 + 0.536979i 0.898359 0.439261i \(-0.144760\pi\)
0.216690 + 0.976240i \(0.430474\pi\)
\(282\) 9.00165 6.64352i 0.536040 0.395616i
\(283\) −3.50248 + 18.5110i −0.208201 + 1.10037i 0.709985 + 0.704217i \(0.248702\pi\)
−0.918186 + 0.396150i \(0.870346\pi\)
\(284\) −1.16026 + 1.25046i −0.0688488 + 0.0742013i
\(285\) 8.27474 38.4621i 0.490153 2.27830i
\(286\) 11.7378 2.67908i 0.694071 0.158417i
\(287\) −4.53998 + 0.748061i −0.267987 + 0.0441566i
\(288\) 6.29106 3.95294i 0.370705 0.232929i
\(289\) 11.2584 + 12.1337i 0.662260 + 0.713747i
\(290\) −23.2204 + 13.7958i −1.36355 + 0.810119i
\(291\) 40.7700 + 12.5759i 2.38998 + 0.737211i
\(292\) −0.232592 + 0.270276i −0.0136114 + 0.0158167i
\(293\) −5.39518 + 5.39518i −0.315190 + 0.315190i −0.846916 0.531726i \(-0.821543\pi\)
0.531726 + 0.846916i \(0.321543\pi\)
\(294\) −32.0403 11.5720i −1.86863 0.674890i
\(295\) −0.982319 + 2.33048i −0.0571928 + 0.135686i
\(296\) 0.496350 + 6.62333i 0.0288498 + 0.384973i
\(297\) −25.1753 47.6339i −1.46082 2.76400i
\(298\) −22.2075 16.3899i −1.28645 0.949442i
\(299\) 2.04285 1.89549i 0.118141 0.109619i
\(300\) 2.66721 + 0.643731i 0.153992 + 0.0371658i
\(301\) 3.20696 1.75157i 0.184846 0.100959i
\(302\) −5.52152 3.46940i −0.317728 0.199642i
\(303\) −2.91218 15.3913i −0.167300 0.884204i
\(304\) −16.7887 15.5777i −0.962900 0.893441i
\(305\) −12.6903 + 2.56570i −0.726646 + 0.146912i
\(306\) 1.16452 7.72607i 0.0665710 0.441670i
\(307\) −1.80798 5.16690i −0.103187 0.294890i 0.880703 0.473670i \(-0.157071\pi\)
−0.983889 + 0.178779i \(0.942785\pi\)
\(308\) 0.919372 + 1.12099i 0.0523861 + 0.0638744i
\(309\) 27.9933 + 58.1287i 1.59248 + 3.30683i
\(310\) 4.77724 3.90831i 0.271329 0.221977i
\(311\) −8.16391 + 3.20410i −0.462933 + 0.181688i −0.585333 0.810793i \(-0.699036\pi\)
0.122400 + 0.992481i \(0.460941\pi\)
\(312\) −5.72334 21.3598i −0.324020 1.20926i
\(313\) −9.39153 2.51645i −0.530841 0.142238i −0.0165642 0.999863i \(-0.505273\pi\)
−0.514276 + 0.857624i \(0.671939\pi\)
\(314\) 0.904332 1.13400i 0.0510344 0.0639951i
\(315\) 44.6975 + 14.3378i 2.51842 + 0.807845i
\(316\) 0.199327 + 0.249948i 0.0112130 + 0.0140607i
\(317\) −6.62997 15.1960i −0.372376 0.853495i −0.997343 0.0728439i \(-0.976793\pi\)
0.624967 0.780651i \(-0.285112\pi\)
\(318\) −27.1242 31.5190i −1.52105 1.76749i
\(319\) 27.0247 + 2.02522i 1.51309 + 0.113391i
\(320\) −11.2889 + 11.5745i −0.631069 + 0.647033i
\(321\) 10.6885 8.52379i 0.596574 0.475752i
\(322\) 4.09860 + 1.54410i 0.228406 + 0.0860494i
\(323\) −3.53777 + 0.398612i −0.196847 + 0.0221793i
\(324\) 4.33343 2.50191i 0.240746 0.138995i
\(325\) 6.32662 10.6503i 0.350937 0.590772i
\(326\) 8.14332 + 20.7488i 0.451017 + 1.14917i
\(327\) 0.887936 + 0.469288i 0.0491030 + 0.0259517i
\(328\) 1.55038 4.43073i 0.0856055 0.244646i
\(329\) 4.24151 4.35939i 0.233842 0.240341i
\(330\) −23.7761 26.9404i −1.30883 1.48302i
\(331\) 10.4488 + 1.57490i 0.574318 + 0.0865645i 0.429778 0.902934i \(-0.358592\pi\)
0.144540 + 0.989499i \(0.453830\pi\)
\(332\) 0.974148 + 0.184319i 0.0534633 + 0.0101158i
\(333\) 0.730035 + 19.5106i 0.0400057 + 1.06917i
\(334\) −8.89801 6.06656i −0.486878 0.331948i
\(335\) −19.1185 + 13.3875i −1.04455 + 0.731439i
\(336\) 28.2043 24.9527i 1.53867 1.36128i
\(337\) 8.38219 + 13.3402i 0.456607 + 0.726686i 0.993107 0.117215i \(-0.0373965\pi\)
−0.536499 + 0.843901i \(0.680254\pi\)
\(338\) −10.0916 0.377601i −0.548910 0.0205388i
\(339\) 34.2390 5.16069i 1.85961 0.280290i
\(340\) −0.0216457 0.247347i −0.00117390 0.0134143i
\(341\) −6.17574 + 0.462808i −0.334435 + 0.0250625i
\(342\) −43.9340 43.9340i −2.37568 2.37568i
\(343\) −18.2100 3.37552i −0.983250 0.182261i
\(344\) 3.72794i 0.200997i
\(345\) −7.88395 2.64867i −0.424457 0.142599i
\(346\) 1.92097 6.22763i 0.103272 0.334799i
\(347\) −5.35718 + 7.25872i −0.287589 + 0.389669i −0.924446 0.381313i \(-0.875472\pi\)
0.636857 + 0.770982i \(0.280234\pi\)
\(348\) −0.168406 + 4.50075i −0.00902753 + 0.241266i
\(349\) 0.421499 1.84671i 0.0225623 0.0988520i −0.962393 0.271661i \(-0.912427\pi\)
0.984955 + 0.172809i \(0.0552843\pi\)
\(350\) 19.4164 + 1.43000i 1.03785 + 0.0764368i
\(351\) −8.99556 39.4121i −0.480147 2.10366i
\(352\) −3.03807 + 0.574833i −0.161929 + 0.0306387i
\(353\) 18.8536 0.705453i 1.00348 0.0375475i 0.469402 0.882984i \(-0.344469\pi\)
0.534075 + 0.845437i \(0.320660\pi\)
\(354\) 3.10064 + 4.54780i 0.164797 + 0.241713i
\(355\) 11.9846 19.6129i 0.636074 1.04094i
\(356\) −1.10245 + 2.28926i −0.0584296 + 0.121330i
\(357\) −0.0802230 5.85331i −0.00424585 0.309790i
\(358\) −20.5231 7.18136i −1.08468 0.379547i
\(359\) −10.2440 33.2101i −0.540655 1.75276i −0.651216 0.758893i \(-0.725741\pi\)
0.110560 0.993869i \(-0.464735\pi\)
\(360\) −34.6957 + 33.0088i −1.82862 + 1.73971i
\(361\) −4.65529 + 8.06320i −0.245015 + 0.424379i
\(362\) 7.20587 26.8927i 0.378732 1.41345i
\(363\) −0.0359685 0.319229i −0.00188786 0.0167552i
\(364\) 0.448629 + 0.990989i 0.0235145 + 0.0519419i
\(365\) 2.35014 4.19058i 0.123012 0.219345i
\(366\) −10.2946 + 26.2302i −0.538106 + 1.37107i
\(367\) 21.9456 18.8858i 1.14555 0.985829i 0.145560 0.989349i \(-0.453502\pi\)
0.999994 + 0.00352090i \(0.00112074\pi\)
\(368\) −3.66981 + 3.15813i −0.191302 + 0.164629i
\(369\) 5.04124 12.8449i 0.262437 0.668677i
\(370\) 2.19339 + 7.79509i 0.114029 + 0.405247i
\(371\) −17.3360 14.5101i −0.900041 0.753327i
\(372\) −0.115238 1.02277i −0.00597484 0.0530281i
\(373\) 4.48511 16.7386i 0.232230 0.866694i −0.747148 0.664658i \(-0.768577\pi\)
0.979378 0.202036i \(-0.0647559\pi\)
\(374\) −1.62577 + 2.81592i −0.0840667 + 0.145608i
\(375\) −36.9446 1.37985i −1.90781 0.0712552i
\(376\) 1.82901 + 5.92951i 0.0943241 + 0.305791i
\(377\) 19.1931 + 6.71596i 0.988496 + 0.345890i
\(378\) 49.1259 40.2902i 2.52676 2.07231i
\(379\) 6.43815 13.3690i 0.330706 0.686717i −0.667624 0.744499i \(-0.732688\pi\)
0.998329 + 0.0577816i \(0.0184027\pi\)
\(380\) −1.68479 1.02950i −0.0864279 0.0528123i
\(381\) 31.5009 + 46.2033i 1.61384 + 2.36707i
\(382\) 31.5430 1.18025i 1.61388 0.0603871i
\(383\) −26.4337 + 5.00152i −1.35070 + 0.255566i −0.810385 0.585898i \(-0.800742\pi\)
−0.540313 + 0.841464i \(0.681694\pi\)
\(384\) 9.20816 + 40.3436i 0.469902 + 2.05878i
\(385\) −15.1353 12.3500i −0.771367 0.629414i
\(386\) 3.85868 16.9060i 0.196402 0.860491i
\(387\) −0.409751 + 10.9508i −0.0208288 + 0.556662i
\(388\) 1.27150 1.72282i 0.0645507 0.0874631i
\(389\) −5.21521 + 16.9073i −0.264422 + 0.857234i 0.721842 + 0.692058i \(0.243296\pi\)
−0.986264 + 0.165177i \(0.947181\pi\)
\(390\) −12.0002 24.1426i −0.607652 1.22251i
\(391\) 0.752622i 0.0380617i
\(392\) 11.9275 14.6538i 0.602428 0.740129i
\(393\) −33.5490 33.5490i −1.69232 1.69232i
\(394\) 22.5927 1.69309i 1.13820 0.0852966i
\(395\) −3.29990 2.76882i −0.166036 0.139314i
\(396\) −4.29925 + 0.648007i −0.216045 + 0.0325636i
\(397\) −12.5069 0.467977i −0.627705 0.0234871i −0.278353 0.960479i \(-0.589789\pi\)
−0.349352 + 0.936992i \(0.613598\pi\)
\(398\) 8.81926 + 14.0358i 0.442070 + 0.703550i
\(399\) −37.8295 27.1266i −1.89384 1.35803i
\(400\) −11.6758 + 18.0794i −0.583788 + 0.903971i
\(401\) 3.08999 + 2.10672i 0.154307 + 0.105205i 0.638012 0.770026i \(-0.279757\pi\)
−0.483705 + 0.875231i \(0.660709\pi\)
\(402\) 1.89934 + 50.7609i 0.0947304 + 2.53172i
\(403\) −4.56580 0.863897i −0.227439 0.0430338i
\(404\) −0.777354 0.117167i −0.0386748 0.00582929i
\(405\) −50.5509 + 44.6135i −2.51190 + 2.21686i
\(406\) 4.01304 + 31.7051i 0.199164 + 1.57350i
\(407\) 2.68354 7.66913i 0.133018 0.380144i
\(408\) 5.28005 + 2.79059i 0.261401 + 0.138155i
\(409\) 4.14140 + 10.5521i 0.204779 + 0.521768i 0.995958 0.0898160i \(-0.0286279\pi\)
−0.791180 + 0.611584i \(0.790533\pi\)
\(410\) 0.782241 5.66939i 0.0386321 0.279991i
\(411\) −7.59817 + 4.38680i −0.374790 + 0.216385i
\(412\) 3.21756 0.362532i 0.158518 0.0178607i
\(413\) 2.06523 + 2.16550i 0.101623 + 0.106557i
\(414\) −10.2692 + 8.18941i −0.504703 + 0.402487i
\(415\) −13.3577 + 0.166837i −0.655702 + 0.00818970i
\(416\) −2.31350 0.173373i −0.113429 0.00850030i
\(417\) 37.7035 + 43.8122i 1.84635 + 2.14549i
\(418\) 10.3398 + 23.6990i 0.505736 + 1.15916i
\(419\) −4.46607 5.60028i −0.218182 0.273592i 0.660680 0.750668i \(-0.270268\pi\)
−0.878862 + 0.477076i \(0.841697\pi\)
\(420\) 1.95699 2.59036i 0.0954913 0.126397i
\(421\) 2.43745 3.05646i 0.118794 0.148963i −0.718879 0.695136i \(-0.755344\pi\)
0.837673 + 0.546173i \(0.183916\pi\)
\(422\) −30.8552 8.26762i −1.50201 0.402462i
\(423\) 4.72099 + 17.6190i 0.229543 + 0.856664i
\(424\) 21.4695 8.42615i 1.04265 0.409210i
\(425\) 0.946328 + 3.20890i 0.0459037 + 0.155655i
\(426\) −21.7045 45.0698i −1.05158 2.18364i
\(427\) −3.20385 + 14.9804i −0.155045 + 0.724954i
\(428\) −0.226605 0.647600i −0.0109534 0.0313029i
\(429\) −4.03179 + 26.7492i −0.194657 + 1.29146i
\(430\) 0.900694 + 4.45496i 0.0434353 + 0.214837i
\(431\) −22.6301 20.9977i −1.09005 1.01142i −0.999880 0.0154952i \(-0.995068\pi\)
−0.0901730 0.995926i \(-0.528742\pi\)
\(432\) 13.0573 + 69.0094i 0.628219 + 3.32022i
\(433\) 5.76738 + 3.62388i 0.277162 + 0.174153i 0.663439 0.748230i \(-0.269096\pi\)
−0.386277 + 0.922383i \(0.626239\pi\)
\(434\) −1.98668 7.02771i −0.0953639 0.337341i
\(435\) −9.79356 59.8908i −0.469565 2.87155i
\(436\) 0.0369481 0.0342828i 0.00176949 0.00164185i
\(437\) 4.81543 + 3.55395i 0.230353 + 0.170008i
\(438\) −4.88609 9.24493i −0.233466 0.441740i
\(439\) 1.13156 + 15.0997i 0.0540066 + 0.720667i 0.956829 + 0.290653i \(0.0938725\pi\)
−0.902822 + 0.430014i \(0.858508\pi\)
\(440\) 18.4592 7.51208i 0.880008 0.358124i
\(441\) 36.6476 41.7346i 1.74512 1.98736i
\(442\) −1.72514 + 1.72514i −0.0820566 + 0.0820566i
\(443\) −13.4352 + 15.6120i −0.638327 + 0.741749i −0.980203 0.197996i \(-0.936557\pi\)
0.341876 + 0.939745i \(0.388938\pi\)
\(444\) 1.29034 + 0.398016i 0.0612367 + 0.0188890i
\(445\) 8.44729 33.1777i 0.400440 1.57278i
\(446\) −16.9021 18.2162i −0.800340 0.862561i
\(447\) 52.5095 32.9939i 2.48361 1.56056i
\(448\) 7.23250 + 17.7105i 0.341703 + 0.836743i
\(449\) 16.7219 3.81666i 0.789155 0.180120i 0.191096 0.981571i \(-0.438796\pi\)
0.598059 + 0.801452i \(0.295939\pi\)
\(450\) −33.4869 + 47.8288i −1.57859 + 2.25467i
\(451\) −3.90581 + 4.20947i −0.183918 + 0.198216i
\(452\) 0.323065 1.70744i 0.0151957 0.0803113i
\(453\) 11.7888 8.70053i 0.553886 0.408786i
\(454\) −4.88544 2.35270i −0.229285 0.110418i
\(455\) −8.57110 11.8900i −0.401820 0.557413i
\(456\) 42.7876 20.6054i 2.00371 0.964937i
\(457\) −12.1370 + 22.9643i −0.567743 + 1.07422i 0.418390 + 0.908268i \(0.362595\pi\)
−0.986133 + 0.165955i \(0.946929\pi\)
\(458\) 6.63989 + 2.89695i 0.310262 + 0.135366i
\(459\) 9.45503 + 5.45887i 0.441323 + 0.254798i
\(460\) −0.256147 + 0.329560i −0.0119429 + 0.0153658i
\(461\) −23.2029 18.5037i −1.08067 0.861802i −0.0897071 0.995968i \(-0.528593\pi\)
−0.990959 + 0.134166i \(0.957165\pi\)
\(462\) −40.4506 + 13.0871i −1.88193 + 0.608866i
\(463\) 1.75720 15.5956i 0.0816641 0.724789i −0.884443 0.466648i \(-0.845462\pi\)
0.966107 0.258141i \(-0.0831099\pi\)
\(464\) −32.8857 12.9067i −1.52668 0.599178i
\(465\) 4.25290 + 13.2000i 0.197223 + 0.612133i
\(466\) 0.131364 1.75293i 0.00608533 0.0812031i
\(467\) −4.85822 + 2.11962i −0.224811 + 0.0980842i −0.509279 0.860601i \(-0.670088\pi\)
0.284468 + 0.958686i \(0.408183\pi\)
\(468\) −3.24176 0.365259i −0.149850 0.0168841i
\(469\) 5.50549 + 27.0616i 0.254220 + 1.24959i
\(470\) 3.61832 + 6.64398i 0.166900 + 0.306464i
\(471\) 1.62946 + 2.82230i 0.0750814 + 0.130045i
\(472\) −2.94884 + 0.790140i −0.135731 + 0.0363691i
\(473\) 1.82367 4.17990i 0.0838525 0.192192i
\(474\) −8.95860 + 2.76336i −0.411482 + 0.126925i
\(475\) 24.9998 + 9.09792i 1.14707 + 0.417441i
\(476\) −0.278601 0.0932213i −0.0127697 0.00427279i
\(477\) 63.9928 22.3920i 2.93003 1.02526i
\(478\) −4.66265 6.31767i −0.213265 0.288963i
\(479\) −17.0758 + 11.6421i −0.780214 + 0.531941i −0.886684 0.462375i \(-0.846997\pi\)
0.106471 + 0.994316i \(0.466045\pi\)
\(480\) 2.84784 + 6.31108i 0.129986 + 0.288060i
\(481\) 3.43426 5.03713i 0.156589 0.229673i
\(482\) 7.00313 11.1454i 0.318984 0.507660i
\(483\) −6.59394 + 7.30485i −0.300035 + 0.332382i
\(484\) −0.0157181 0.00358755i −0.000714458 0.000163070i
\(485\) −12.1924 + 26.1483i −0.553630 + 1.18733i
\(486\) 11.1329 + 73.8617i 0.504997 + 3.35043i
\(487\) 10.2373 5.41059i 0.463898 0.245177i −0.218952 0.975736i \(-0.570264\pi\)
0.682850 + 0.730558i \(0.260740\pi\)
\(488\) −11.8461 10.1944i −0.536248 0.461479i
\(489\) −50.0815 −2.26476
\(490\) 10.7131 20.3933i 0.483968 0.921277i
\(491\) 18.6049 0.839626 0.419813 0.907611i \(-0.362096\pi\)
0.419813 + 0.907611i \(0.362096\pi\)
\(492\) −0.723364 0.622505i −0.0326118 0.0280647i
\(493\) −4.85525 + 2.56607i −0.218669 + 0.115570i
\(494\) 2.89153 + 19.1841i 0.130096 + 0.863132i
\(495\) 55.0496 20.0378i 2.47429 0.900633i
\(496\) 7.87076 + 1.79645i 0.353408 + 0.0806630i
\(497\) −15.6264 22.2582i −0.700942 0.998415i
\(498\) −15.4682 + 24.6175i −0.693148 + 1.10314i
\(499\) 23.9893 35.1858i 1.07391 1.57513i 0.287133 0.957891i \(-0.407298\pi\)
0.786774 0.617241i \(-0.211750\pi\)
\(500\) −0.677738 + 1.72719i −0.0303093 + 0.0772424i
\(501\) 19.9925 13.6307i 0.893199 0.608973i
\(502\) 20.3058 + 27.5133i 0.906290 + 1.22798i
\(503\) 33.3482 11.6690i 1.48692 0.520297i 0.539974 0.841682i \(-0.318434\pi\)
0.946949 + 0.321385i \(0.104148\pi\)
\(504\) 19.4459 + 53.2219i 0.866187 + 2.37069i
\(505\) 10.5793 0.528233i 0.470774 0.0235060i
\(506\) 5.22324 1.61116i 0.232201 0.0716247i
\(507\) 9.07361 20.7969i 0.402973 0.923624i
\(508\) 2.71079 0.726354i 0.120272 0.0322267i
\(509\) 8.92365 + 15.4562i 0.395534 + 0.685085i 0.993169 0.116683i \(-0.0372262\pi\)
−0.597635 + 0.801768i \(0.703893\pi\)
\(510\) 6.98398 + 2.05911i 0.309256 + 0.0911789i
\(511\) −3.43816 4.52734i −0.152095 0.200278i
\(512\) −19.0853 2.15039i −0.843458 0.0950349i
\(513\) 79.5744 34.7180i 3.51330 1.53284i
\(514\) −1.01969 + 13.6068i −0.0449766 + 0.600172i
\(515\) −41.5261 + 13.3793i −1.82986 + 0.589563i
\(516\) 0.705515 + 0.276894i 0.0310586 + 0.0121896i
\(517\) 0.849905 7.54312i 0.0373788 0.331746i
\(518\) 9.49311 + 1.29807i 0.417103 + 0.0570337i
\(519\) 11.4484 + 9.12982i 0.502530 + 0.400755i
\(520\) 14.8373 1.85970i 0.650659 0.0815532i
\(521\) −25.6400 14.8032i −1.12331 0.648542i −0.181064 0.983471i \(-0.557954\pi\)
−0.942243 + 0.334929i \(0.891288\pi\)
\(522\) −87.8437 38.3258i −3.84481 1.67747i
\(523\) −14.2424 + 26.9479i −0.622777 + 1.17835i 0.347802 + 0.937568i \(0.386928\pi\)
−0.970579 + 0.240783i \(0.922596\pi\)
\(524\) −2.14531 + 1.03313i −0.0937182 + 0.0451323i
\(525\) −18.9292 + 39.4362i −0.826137 + 1.72114i
\(526\) 10.4475 + 5.03125i 0.455533 + 0.219373i
\(527\) 1.00974 0.745222i 0.0439849 0.0324624i
\(528\) 8.73744 46.1785i 0.380248 2.00966i
\(529\) −14.7834 + 15.9327i −0.642757 + 0.692727i
\(530\) 23.6206 15.2566i 1.02601 0.662704i
\(531\) −8.74907 + 1.99692i −0.379677 + 0.0866589i
\(532\) −1.91203 + 1.34235i −0.0828969 + 0.0581982i
\(533\) −3.64825 + 2.29235i −0.158023 + 0.0992925i
\(534\) −50.6808 54.6209i −2.19317 2.36368i
\(535\) 4.72195 + 7.94774i 0.204148 + 0.343611i
\(536\) −26.9221 8.30437i −1.16286 0.358694i
\(537\) 31.8668 37.0299i 1.37515 1.59796i
\(538\) −14.2332 + 14.2332i −0.613639 + 0.613639i
\(539\) −20.5420 + 10.5956i −0.884806 + 0.456384i
\(540\) 2.28232 + 5.60826i 0.0982152 + 0.241341i
\(541\) −1.78503 23.8195i −0.0767443 1.02408i −0.894076 0.447915i \(-0.852167\pi\)
0.817332 0.576167i \(-0.195452\pi\)
\(542\) −4.41668 8.35677i −0.189713 0.358954i
\(543\) 50.3318 + 37.1466i 2.15995 + 1.59411i
\(544\) 0.459299 0.426167i 0.0196923 0.0182718i
\(545\) −0.396431 + 0.551429i −0.0169812 + 0.0236206i
\(546\) −31.8584 + 1.62953i −1.36342 + 0.0697376i
\(547\) −2.59413 1.63000i −0.110917 0.0696938i 0.475431 0.879753i \(-0.342292\pi\)
−0.586348 + 0.810059i \(0.699435\pi\)
\(548\) 0.0818596 + 0.432638i 0.00349687 + 0.0184814i
\(549\) −33.6774 31.2481i −1.43732 1.33364i
\(550\) 20.2441 13.4369i 0.863213 0.572953i
\(551\) −6.50865 + 43.1821i −0.277278 + 1.83962i
\(552\) −3.31586 9.47619i −0.141132 0.403333i
\(553\) −4.56137 + 2.27417i −0.193969 + 0.0967074i
\(554\) 4.03085 + 8.37016i 0.171255 + 0.355614i
\(555\) −18.1042 1.81118i −0.768479 0.0768803i
\(556\) 2.70034 1.05980i 0.114520 0.0449457i
\(557\) −4.79140 17.8817i −0.203018 0.757674i −0.990045 0.140754i \(-0.955047\pi\)
0.787027 0.616919i \(-0.211619\pi\)
\(558\) 21.1554 + 5.66856i 0.895578 + 0.239969i
\(559\) 2.13345 2.67527i 0.0902354 0.113152i
\(560\) 14.1083 + 21.1996i 0.596183 + 0.895845i
\(561\) −4.55505 5.71185i −0.192314 0.241155i
\(562\) 12.2097 + 27.9849i 0.515035 + 1.18047i
\(563\) 14.2555 + 16.5652i 0.600798 + 0.698140i 0.973208 0.229928i \(-0.0738492\pi\)
−0.372409 + 0.928069i \(0.621468\pi\)
\(564\) 1.25802 + 0.0942753i 0.0529720 + 0.00396970i
\(565\) 0.292424 + 23.4127i 0.0123024 + 0.984979i
\(566\) −21.6774 + 17.2871i −0.911167 + 0.726632i
\(567\) 24.5566 + 75.9015i 1.03128 + 3.18756i
\(568\) 27.5707 3.10648i 1.15684 0.130345i
\(569\) −2.70213 + 1.56008i −0.113279 + 0.0654019i −0.555569 0.831470i \(-0.687500\pi\)
0.442290 + 0.896872i \(0.354166\pi\)
\(570\) 46.1536 34.9616i 1.93316 1.46438i
\(571\) 10.1863 + 25.9542i 0.426281 + 1.08615i 0.969181 + 0.246350i \(0.0792312\pi\)
−0.542900 + 0.839798i \(0.682674\pi\)
\(572\) 1.20028 + 0.634366i 0.0501862 + 0.0265242i
\(573\) −23.4240 + 66.9420i −0.978553 + 2.79654i
\(574\) −5.78257 3.52383i −0.241360 0.147082i
\(575\) 2.50295 5.03643i 0.104380 0.210033i
\(576\) −56.7300 8.55068i −2.36375 0.356278i
\(577\) −5.40327 1.02235i −0.224941 0.0425611i 0.0722191 0.997389i \(-0.476992\pi\)
−0.297160 + 0.954828i \(0.596040\pi\)
\(578\) 0.910861 + 24.3433i 0.0378868 + 1.01255i
\(579\) 32.1919 + 21.9481i 1.33785 + 0.912132i
\(580\) −2.99936 0.528798i −0.124542 0.0219571i
\(581\) −6.12166 + 14.5727i −0.253969 + 0.604576i
\(582\) 33.4071 + 53.1671i 1.38477 + 2.20385i
\(583\) −28.1943 1.05496i −1.16769 0.0436919i
\(584\) 5.73494 0.864403i 0.237313 0.0357692i
\(585\) 43.7890 3.83204i 1.81045 0.158435i
\(586\) −11.1977 + 0.839152i −0.462573 + 0.0346651i
\(587\) 5.18181 + 5.18181i 0.213876 + 0.213876i 0.805912 0.592036i \(-0.201676\pi\)
−0.592036 + 0.805912i \(0.701676\pi\)
\(588\) −1.88733 3.34570i −0.0778321 0.137974i
\(589\) 9.97952i 0.411199i
\(590\) −3.33302 + 1.65669i −0.137218 + 0.0682049i
\(591\) −15.0044 + 48.6432i −0.617200 + 2.00091i
\(592\) −6.28958 + 8.52208i −0.258500 + 0.350255i
\(593\) 0.559871 14.9629i 0.0229911 0.614451i −0.939406 0.342806i \(-0.888623\pi\)
0.962397 0.271645i \(-0.0875678\pi\)
\(594\) 17.6442 77.3044i 0.723951 3.17184i
\(595\) 3.92838 + 0.487261i 0.161048 + 0.0199757i
\(596\) −0.692551 3.03426i −0.0283680 0.124288i
\(597\) −36.5957 + 6.92429i −1.49776 + 0.283392i
\(598\) 4.09848 0.153354i 0.167599 0.00627112i
\(599\) −22.9692 33.6897i −0.938498 1.37652i −0.926377 0.376597i \(-0.877094\pi\)
−0.0121211 0.999927i \(-0.503858\pi\)
\(600\) −26.0527 36.2337i −1.06360 1.47923i
\(601\) 12.9991 26.9930i 0.530246 1.10107i −0.448079 0.893994i \(-0.647892\pi\)
0.978325 0.207073i \(-0.0663939\pi\)
\(602\) 5.25890 + 1.12472i 0.214337 + 0.0458400i
\(603\) −78.1709 27.3532i −3.18337 1.11391i
\(604\) −0.216739 0.702650i −0.00881898 0.0285904i
\(605\) 0.217167 + 0.00541088i 0.00882909 + 0.000219983i
\(606\) 11.5267 19.9649i 0.468242 0.811019i
\(607\) −0.263181 + 0.982204i −0.0106822 + 0.0398664i −0.971061 0.238831i \(-0.923236\pi\)
0.960379 + 0.278697i \(0.0899026\pi\)
\(608\) −0.557853 4.95108i −0.0226239 0.200793i
\(609\) −69.6065 17.6322i −2.82060 0.714495i
\(610\) −16.6193 9.32040i −0.672898 0.377372i
\(611\) 2.08084 5.30189i 0.0841818 0.214492i
\(612\) 0.667803 0.574691i 0.0269943 0.0232305i
\(613\) 17.8527 15.3635i 0.721066 0.620527i −0.213240 0.977000i \(-0.568402\pi\)
0.934306 + 0.356473i \(0.116021\pi\)
\(614\) 2.94330 7.49940i 0.118782 0.302651i
\(615\) 11.2156 + 6.28990i 0.452257 + 0.253633i
\(616\) 0.558694 23.5739i 0.0225104 0.949821i
\(617\) 5.21726 + 46.3044i 0.210039 + 1.86415i 0.449553 + 0.893253i \(0.351583\pi\)
−0.239515 + 0.970893i \(0.576988\pi\)
\(618\) −24.5755 + 91.7169i −0.988570 + 3.68939i
\(619\) −19.1737 + 33.2099i −0.770658 + 1.33482i 0.166545 + 0.986034i \(0.446739\pi\)
−0.937203 + 0.348785i \(0.886594\pi\)
\(620\) 0.695775 + 0.0173358i 0.0279430 + 0.000696221i
\(621\) −5.40979 17.5381i −0.217087 0.703780i
\(622\) −12.1829 4.26297i −0.488489 0.170930i
\(623\) −32.0143 24.8205i −1.28262 0.994411i
\(624\) 15.3003 31.7715i 0.612504 1.27188i
\(625\) 4.33897 24.6206i 0.173559 0.984824i
\(626\) −8.06069 11.8229i −0.322170 0.472537i
\(627\) −58.0549 + 2.17226i −2.31849 + 0.0867518i
\(628\) 0.160701 0.0304063i 0.00641268 0.00121334i
\(629\) 0.366373 + 1.60519i 0.0146083 + 0.0640029i
\(630\) 36.0969 + 58.9030i 1.43814 + 2.34675i
\(631\) −1.15751 + 5.07136i −0.0460796 + 0.201888i −0.992728 0.120381i \(-0.961588\pi\)
0.946648 + 0.322269i \(0.104446\pi\)
\(632\) 0.194428 5.19619i 0.00773391 0.206693i
\(633\) 42.6200 57.7480i 1.69399 2.29528i
\(634\) 7.19208 23.3161i 0.285634 0.926002i
\(635\) −33.8618 + 16.8311i −1.34376 + 0.667923i
\(636\) 4.68897i 0.185930i
\(637\) −16.9456 + 3.69002i −0.671411 + 0.146204i
\(638\) 28.2024 + 28.2024i 1.11655 + 1.11655i
\(639\) 81.3305 6.09488i 3.21739 0.241110i
\(640\) −27.8761 + 2.43948i −1.10190 + 0.0964289i
\(641\) −29.6729 + 4.47247i −1.17201 + 0.176652i −0.706055 0.708157i \(-0.749527\pi\)
−0.465954 + 0.884809i \(0.654289\pi\)
\(642\) 20.1059 + 0.752311i 0.793518 + 0.0296913i
\(643\) −10.9729 17.4633i −0.432730 0.688686i 0.557178 0.830393i \(-0.311884\pi\)
−0.989909 + 0.141706i \(0.954741\pi\)
\(644\) 0.236733 + 0.433436i 0.00932859 + 0.0170798i
\(645\) −10.0570 1.77309i −0.395996 0.0698155i
\(646\) −4.32912 2.95154i −0.170327 0.116127i
\(647\) 0.610427 + 16.3140i 0.0239984 + 0.641370i 0.958447 + 0.285271i \(0.0920838\pi\)
−0.934448 + 0.356099i \(0.884107\pi\)
\(648\) −79.9678 15.1307i −3.14143 0.594391i
\(649\) 3.69287 + 0.556611i 0.144958 + 0.0218489i
\(650\) 17.2816 5.80717i 0.677838 0.227776i
\(651\) 16.3295 + 1.61360i 0.640003 + 0.0632418i
\(652\) −0.830124 + 2.37236i −0.0325102 + 0.0929088i
\(653\) 35.3974 + 18.7081i 1.38521 + 0.732104i 0.983028 0.183456i \(-0.0587284\pi\)
0.402181 + 0.915560i \(0.368252\pi\)
\(654\) 0.540002 + 1.37590i 0.0211158 + 0.0538021i
\(655\) 25.5743 19.3727i 0.999272 0.756955i
\(656\) 6.48279 3.74284i 0.253110 0.146133i
\(657\) 16.9414 1.90884i 0.660947 0.0744708i
\(658\) 8.91642 0.791211i 0.347598 0.0308446i
\(659\) 7.75228 6.18223i 0.301986 0.240826i −0.460759 0.887525i \(-0.652423\pi\)
0.762745 + 0.646700i \(0.223851\pi\)
\(660\) −0.0506016 4.05138i −0.00196967 0.157700i
\(661\) −2.83504 0.212457i −0.110270 0.00826361i 0.0194807 0.999810i \(-0.493799\pi\)
−0.129751 + 0.991547i \(0.541418\pi\)
\(662\) 10.1440 + 11.7875i 0.394257 + 0.458134i
\(663\) −2.19208 5.02430i −0.0851333 0.195128i
\(664\) −10.0541 12.6075i −0.390176 0.489265i
\(665\) 21.6678 22.8337i 0.840240 0.885453i
\(666\) −17.9155 + 22.4653i −0.694210 + 0.870512i
\(667\) 8.91729 + 2.38938i 0.345279 + 0.0925172i
\(668\) −0.314299 1.17298i −0.0121606 0.0453839i
\(669\) 51.9741 20.3983i 2.00944 0.788646i
\(670\) −34.1788 3.41932i −1.32044 0.132100i
\(671\) 8.29527 + 17.2253i 0.320235 + 0.664976i
\(672\) 8.19166 0.112271i 0.316000 0.00433096i
\(673\) 15.2516 + 43.5866i 0.587907 + 1.68014i 0.724299 + 0.689486i \(0.242164\pi\)
−0.136392 + 0.990655i \(0.543551\pi\)
\(674\) −3.45584 + 22.9280i −0.133114 + 0.883154i
\(675\) −45.1173 67.9739i −1.73657 2.61631i
\(676\) −0.834751 0.774536i −0.0321058 0.0297898i
\(677\) 0.0738991 + 0.390566i 0.00284017 + 0.0150107i 0.983958 0.178401i \(-0.0570924\pi\)
−0.981118 + 0.193412i \(0.938045\pi\)
\(678\) 43.1484 + 27.1120i 1.65711 + 1.04123i
\(679\) 22.6197 + 25.5674i 0.868066 + 0.981187i
\(680\) −2.35735 + 3.27903i −0.0904002 + 0.125745i
\(681\) 8.93105 8.28680i 0.342238 0.317551i
\(682\) −7.33346 5.41234i −0.280813 0.207249i
\(683\) 1.44147 + 2.72740i 0.0551564 + 0.104361i 0.910152 0.414274i \(-0.135964\pi\)
−0.854996 + 0.518635i \(0.826441\pi\)
\(684\) −0.523564 6.98648i −0.0200190 0.267135i
\(685\) −2.23632 5.49525i −0.0854456 0.209963i
\(686\) −17.0732 21.2468i −0.651859 0.811206i
\(687\) −11.5095 + 11.5095i −0.439116 + 0.439116i
\(688\) −3.87777 + 4.50605i −0.147838 + 0.171791i
\(689\) −20.2292 6.23989i −0.770673 0.237721i
\(690\) −6.25203 10.5231i −0.238011 0.400607i
\(691\) −26.6454 28.7169i −1.01364 1.09244i −0.995703 0.0926047i \(-0.970481\pi\)
−0.0179368 0.999839i \(-0.505710\pi\)
\(692\) 0.622243 0.390981i 0.0236541 0.0148629i
\(693\) 4.23226 69.1871i 0.160770 2.62820i
\(694\) −12.9443 + 2.95445i −0.491359 + 0.112149i
\(695\) −32.8333 + 21.2071i −1.24544 + 0.804430i
\(696\) 49.8265 53.7001i 1.88867 2.03550i
\(697\) 0.216334 1.14335i 0.00819422 0.0433075i
\(698\) 2.24300 1.65541i 0.0848987 0.0626581i
\(699\) 3.55849 + 1.71368i 0.134594 + 0.0648172i
\(700\) 1.55433 + 1.55035i 0.0587483 + 0.0585977i
\(701\) 28.1771 13.5694i 1.06423 0.512508i 0.181990 0.983300i \(-0.441746\pi\)
0.882244 + 0.470792i \(0.156032\pi\)
\(702\) 27.8002 52.6006i 1.04925 1.98528i
\(703\) 12.0003 + 5.23570i 0.452602 + 0.197468i
\(704\) 20.6764 + 11.9375i 0.779271 + 0.449912i
\(705\) −16.8663 + 2.11401i −0.635220 + 0.0796181i
\(706\) 21.7088 + 17.3122i 0.817023 + 0.651554i
\(707\) 4.41858 11.7285i 0.166178 0.441096i
\(708\) −0.0694920 + 0.616758i −0.00261167 + 0.0231792i
\(709\) 23.9237 + 9.38935i 0.898472 + 0.352624i 0.769217 0.638987i \(-0.220646\pi\)
0.129255 + 0.991611i \(0.458742\pi\)
\(710\) 32.1970 10.3736i 1.20833 0.389313i
\(711\) 1.14226 15.2424i 0.0428382 0.571636i
\(712\) 37.8790 16.5264i 1.41957 0.619354i
\(713\) −2.09642 0.236210i −0.0785115 0.00884612i
\(714\) 5.52959 6.60650i 0.206940 0.247242i
\(715\) −17.5459 5.17311i −0.656178 0.193463i
\(716\) −1.22590 2.12332i −0.0458140 0.0793521i
\(717\) 17.0410 4.56613i 0.636409 0.170525i
\(718\) 20.4538 46.8806i 0.763328 1.74957i
\(719\) −40.6888 + 12.5508i −1.51744 + 0.468067i −0.937907 0.346886i \(-0.887239\pi\)
−0.579528 + 0.814952i \(0.696763\pi\)
\(720\) −76.2729 + 3.80836i −2.84252 + 0.141929i
\(721\) −5.07626 + 51.3714i −0.189050 + 1.91317i
\(722\) −12.9336 + 4.52566i −0.481339 + 0.168428i
\(723\) 17.5624 + 23.7962i 0.653152 + 0.884989i
\(724\) 2.59391 1.76850i 0.0964018 0.0657256i
\(725\) 41.0243 1.02495i 1.52361 0.0380655i
\(726\) 0.266331 0.390636i 0.00988447 0.0144979i
\(727\) 2.49326 3.96800i 0.0924700 0.147165i −0.797286 0.603602i \(-0.793732\pi\)
0.889756 + 0.456437i \(0.150875\pi\)
\(728\) 4.98295 16.9769i 0.184680 0.629207i
\(729\) −75.4343 17.2174i −2.79386 0.637681i
\(730\) 6.64451 2.41858i 0.245925 0.0895155i
\(731\) 0.137733 + 0.913799i 0.00509424 + 0.0337981i
\(732\) −2.80917 + 1.48469i −0.103830 + 0.0548757i
\(733\) 14.3226 + 12.3256i 0.529015 + 0.455255i 0.875789 0.482694i \(-0.160342\pi\)
−0.346773 + 0.937949i \(0.612723\pi\)
\(734\) 42.6108 1.57279
\(735\) 33.8593 + 39.1470i 1.24892 + 1.44396i
\(736\) −1.05329 −0.0388247
\(737\) 26.1236 + 22.4812i 0.962276 + 0.828105i
\(738\) 17.9545 9.48921i 0.660913 0.349303i
\(739\) 1.64771 + 10.9319i 0.0606121 + 0.402135i 0.998479 + 0.0551390i \(0.0175602\pi\)
−0.937867 + 0.346996i \(0.887202\pi\)
\(740\) −0.385881 + 0.827573i −0.0141853 + 0.0304222i
\(741\) −42.4977 9.69982i −1.56119 0.356332i
\(742\) −5.40923 32.8286i −0.198579 1.20518i
\(743\) 18.3597 29.2194i 0.673554 1.07195i −0.318715 0.947850i \(-0.603251\pi\)
0.992269 0.124104i \(-0.0396057\pi\)
\(744\) −9.43027 + 13.8317i −0.345730 + 0.507093i
\(745\) 17.2484 + 38.2241i 0.631933 + 1.40042i
\(746\) 21.0720 14.3667i 0.771502 0.526001i
\(747\) −28.1483 38.1395i −1.02989 1.39545i
\(748\) −0.346072 + 0.121096i −0.0126537 + 0.00442771i
\(749\) 10.8518 1.37356i 0.396517 0.0501887i
\(750\) −39.8878 37.0054i −1.45650 1.35125i
\(751\) 38.4358 11.8559i 1.40254 0.432627i 0.501049 0.865419i \(-0.332947\pi\)
0.901494 + 0.432791i \(0.142471\pi\)
\(752\) −3.95706 + 9.06967i −0.144299 + 0.330737i
\(753\) −74.2134 + 19.8854i −2.70448 + 0.724665i
\(754\) 14.9631 + 25.9169i 0.544924 + 0.943836i
\(755\) 4.73864 + 8.70113i 0.172457 + 0.316667i
\(756\) 7.16222 + 0.169742i 0.260487 + 0.00617346i
\(757\) −1.42837 0.160939i −0.0519152 0.00584943i 0.0859687 0.996298i \(-0.472601\pi\)
−0.137884 + 0.990448i \(0.544030\pi\)
\(758\) 20.0159 8.73283i 0.727009 0.317191i
\(759\) −0.917795 + 12.2471i −0.0333139 + 0.444543i
\(760\) 9.84828 + 30.5667i 0.357235 + 1.10877i
\(761\) 31.3247 + 12.2940i 1.13552 + 0.445658i 0.857279 0.514853i \(-0.172153\pi\)
0.278241 + 0.960511i \(0.410249\pi\)
\(762\) −9.21450 + 81.7810i −0.333806 + 2.96261i
\(763\) 0.411284 + 0.690340i 0.0148895 + 0.0249920i
\(764\) 2.78278 + 2.21919i 0.100677 + 0.0802875i
\(765\) −7.28512 + 9.37304i −0.263394 + 0.338883i
\(766\) −34.2887 19.7966i −1.23890 0.715279i
\(767\) 2.56835 + 1.12056i 0.0927378 + 0.0404611i
\(768\) −6.11283 + 11.5660i −0.220578 + 0.417354i
\(769\) −27.4461 + 13.2174i −0.989733 + 0.476630i −0.857442 0.514580i \(-0.827948\pi\)
−0.132291 + 0.991211i \(0.542233\pi\)
\(770\) −5.02797 28.3063i −0.181195 1.02009i
\(771\) −27.6221 13.3021i −0.994786 0.479064i
\(772\) 1.57328 1.16113i 0.0566235 0.0417901i
\(773\) 3.74708 19.8038i 0.134773 0.712292i −0.848363 0.529415i \(-0.822411\pi\)
0.983136 0.182877i \(-0.0585410\pi\)
\(774\) −10.9697 + 11.8225i −0.394297 + 0.424951i
\(775\) −9.23535 + 1.62887i −0.331744 + 0.0585109i
\(776\) −33.9536 + 7.74969i −1.21886 + 0.278198i
\(777\) −10.5075 + 18.7896i −0.376955 + 0.674074i
\(778\) −22.0484 + 13.8539i −0.790473 + 0.496687i
\(779\) −6.29384 6.78315i −0.225500 0.243032i
\(780\) 0.750099 2.94610i 0.0268578 0.105487i
\(781\) −32.4330 10.0042i −1.16054 0.357980i
\(782\) −0.722504 + 0.839565i −0.0258367 + 0.0300228i
\(783\) 94.6955 94.6955i 3.38414 3.38414i
\(784\) 29.6598 5.30557i 1.05928 0.189485i
\(785\) −2.04118 + 0.830671i −0.0728529 + 0.0296479i
\(786\) −5.21813 69.6311i −0.186125 2.48366i
\(787\) 18.7370 + 35.4521i 0.667900 + 1.26373i 0.952341 + 0.305036i \(0.0986684\pi\)
−0.284440 + 0.958694i \(0.591808\pi\)
\(788\) 2.05552 + 1.51704i 0.0732250 + 0.0540425i
\(789\) −19.0990 + 17.7213i −0.679944 + 0.630895i
\(790\) −1.02309 6.25652i −0.0363998 0.222597i
\(791\) 25.5423 + 10.7298i 0.908179 + 0.381506i
\(792\) 59.8775 + 37.6235i 2.12766 + 1.33689i
\(793\) 2.66694 + 14.0951i 0.0947059 + 0.500533i
\(794\) −13.5025 12.5285i −0.479185 0.444619i
\(795\) 12.5203 + 61.9270i 0.444048 + 2.19632i
\(796\) −0.278588 + 1.84831i −0.00987430 + 0.0655117i
\(797\) 2.48329 + 7.09685i 0.0879628 + 0.251383i 0.979458 0.201646i \(-0.0646290\pi\)
−0.891496 + 0.453029i \(0.850343\pi\)
\(798\) −16.1585 66.5759i −0.572006 2.35676i
\(799\) 0.667404 + 1.38588i 0.0236111 + 0.0490289i
\(800\) −4.49083 + 1.32438i −0.158775 + 0.0468238i
\(801\) 113.086 44.3830i 3.99570 1.56819i
\(802\) 1.42453 + 5.31643i 0.0503020 + 0.187730i
\(803\) −6.85307 1.83628i −0.241840 0.0648008i
\(804\) −3.57126 + 4.47822i −0.125949 + 0.157935i
\(805\) −4.28386 5.09225i −0.150986 0.179478i
\(806\) −4.26392 5.34679i −0.150190 0.188333i
\(807\) −18.0857 41.4529i −0.636647 1.45921i
\(808\) 8.34041 + 9.69174i 0.293415 + 0.340954i
\(809\) 14.7574 + 1.10592i 0.518844 + 0.0388820i 0.331579 0.943427i \(-0.392419\pi\)
0.187265 + 0.982309i \(0.440038\pi\)
\(810\) −99.2188 + 1.23924i −3.48619 + 0.0435424i
\(811\) −27.1298 + 21.6353i −0.952658 + 0.759719i −0.970744 0.240117i \(-0.922814\pi\)
0.0180862 + 0.999836i \(0.494243\pi\)
\(812\) −1.98900 + 3.00499i −0.0698002 + 0.105455i
\(813\) 21.1040 2.37785i 0.740148 0.0833947i
\(814\) 10.3558 5.97891i 0.362970 0.209561i
\(815\) 4.62884 33.5482i 0.162141 1.17514i
\(816\) 3.47937 + 8.86530i 0.121802 + 0.310348i
\(817\) 6.49706 + 3.43380i 0.227303 + 0.120133i
\(818\) −5.51003 + 15.7468i −0.192654 + 0.550572i
\(819\) 16.5034 49.3221i 0.576675 1.72345i
\(820\) 0.483856 0.427025i 0.0168970 0.0149124i
\(821\) 22.8963 + 3.45107i 0.799088 + 0.120443i 0.535878 0.844296i \(-0.319981\pi\)
0.263210 + 0.964739i \(0.415219\pi\)
\(822\) −12.6872 2.40054i −0.442516 0.0837285i
\(823\) −1.23416 32.9836i −0.0430200 1.14973i −0.838902 0.544283i \(-0.816802\pi\)
0.795882 0.605452i \(-0.207008\pi\)
\(824\) −43.5134 29.6670i −1.51586 1.03350i
\(825\) 11.4861 + 53.3712i 0.399894 + 1.85815i
\(826\) 0.224966 + 4.39824i 0.00782757 + 0.153034i
\(827\) −1.45315 2.31268i −0.0505310 0.0804197i 0.820503 0.571642i \(-0.193693\pi\)
−0.871034 + 0.491222i \(0.836550\pi\)
\(828\) −1.48006 0.0553798i −0.0514355 0.00192458i
\(829\) −37.6211 + 5.67047i −1.30664 + 0.196944i −0.765197 0.643796i \(-0.777358\pi\)
−0.541439 + 0.840740i \(0.682120\pi\)
\(830\) −15.0609 12.6370i −0.522772 0.438638i
\(831\) −20.8153 + 1.55989i −0.722073 + 0.0541119i
\(832\) 12.6672 + 12.6672i 0.439155 + 0.439155i
\(833\) 2.38228 4.03264i 0.0825411 0.139723i
\(834\) 85.0681i 2.94567i
\(835\) 7.28296 + 14.6522i 0.252037 + 0.507061i
\(836\) −0.859388 + 2.78607i −0.0297226 + 0.0963582i
\(837\) −18.1730 + 24.6236i −0.628152 + 0.851116i
\(838\) 0.394176 10.5346i 0.0136166 0.363911i
\(839\) −2.21129 + 9.68829i −0.0763422 + 0.334477i −0.998648 0.0519841i \(-0.983445\pi\)
0.922306 + 0.386461i \(0.126303\pi\)
\(840\) −51.6086 + 11.1724i −1.78067 + 0.385485i
\(841\) 8.53633 + 37.4001i 0.294356 + 1.28966i
\(842\) 5.65318 1.06964i 0.194821 0.0368622i
\(843\) −68.5539 + 2.56511i −2.36112 + 0.0883469i
\(844\) −2.02908 2.97611i −0.0698437 0.102442i
\(845\) 13.0926 + 8.00034i 0.450400 + 0.275220i
\(846\) −11.6476 + 24.1864i −0.400451 + 0.831546i
\(847\) 0.108339 0.233087i 0.00372258 0.00800897i
\(848\) 34.7155 + 12.1475i 1.19213 + 0.417146i
\(849\) −18.3624 59.5293i −0.630195 2.04304i
\(850\) −2.02484 + 4.48805i −0.0694515 + 0.153939i
\(851\) 1.38392 2.39701i 0.0474400 0.0821685i
\(852\) 1.45993 5.44852i 0.0500162 0.186663i
\(853\) −5.84425 51.8691i −0.200103 1.77597i −0.546091 0.837726i \(-0.683885\pi\)
0.345987 0.938239i \(-0.387544\pi\)
\(854\) −17.9549 + 13.6353i −0.614405 + 0.466592i
\(855\) 25.5697 + 90.8720i 0.874464 + 3.10776i
\(856\) −4.07698 + 10.3880i −0.139348 + 0.355054i
\(857\) 4.24469 3.65285i 0.144996 0.124779i −0.576799 0.816886i \(-0.695698\pi\)
0.721795 + 0.692107i \(0.243317\pi\)
\(858\) −30.1763 + 25.9688i −1.03020 + 0.886560i
\(859\) −5.94964 + 15.1594i −0.202999 + 0.517234i −0.995727 0.0923417i \(-0.970565\pi\)
0.792728 + 0.609575i \(0.208660\pi\)
\(860\) −0.250692 + 0.447012i −0.00854851 + 0.0152430i
\(861\) 12.1169 9.20185i 0.412944 0.313598i
\(862\) −5.08694 45.1478i −0.173262 1.53774i
\(863\) −6.72631 + 25.1029i −0.228966 + 0.854513i 0.751810 + 0.659379i \(0.229181\pi\)
−0.980777 + 0.195134i \(0.937486\pi\)
\(864\) −7.63963 + 13.2322i −0.259906 + 0.450170i
\(865\) −7.17394 + 6.82514i −0.243921 + 0.232062i
\(866\) 2.95476 + 9.57910i 0.100407 + 0.325511i
\(867\) −51.6625 18.0775i −1.75455 0.613943i
\(868\) 0.347105 0.746782i 0.0117815 0.0253474i
\(869\) −2.75992 + 5.73104i −0.0936240 + 0.194412i
\(870\) 46.5693 76.2111i 1.57885 2.58380i
\(871\) 14.5675 + 21.3666i 0.493601 + 0.723980i
\(872\) −0.819229 + 0.0306534i −0.0277426 + 0.00103806i
\(873\) −100.591 + 19.0328i −3.40447 + 0.644161i
\(874\) 1.95998 + 8.58723i 0.0662973 + 0.290467i
\(875\) −24.6676 16.3250i −0.833919 0.551887i
\(876\) 0.262376 1.14954i 0.00886487 0.0388395i
\(877\) 0.562838 15.0422i 0.0190057 0.507938i −0.956986 0.290132i \(-0.906301\pi\)
0.975992 0.217805i \(-0.0698898\pi\)
\(878\) −13.2331 + 17.9303i −0.446597 + 0.605117i
\(879\) 7.43671 24.1092i 0.250834 0.813184i
\(880\) 30.1261 + 10.1211i 1.01555 + 0.341181i
\(881\) 9.81555i 0.330694i −0.986235 0.165347i \(-0.947126\pi\)
0.986235 0.165347i \(-0.0528744\pi\)
\(882\) 80.9456 11.3747i 2.72558 0.383007i
\(883\) −13.3466 13.3466i −0.449148 0.449148i 0.445923 0.895071i \(-0.352875\pi\)
−0.895071 + 0.445923i \(0.852875\pi\)
\(884\) −0.274336 + 0.0205586i −0.00922691 + 0.000691461i
\(885\) −0.729062 8.33104i −0.0245072 0.280045i
\(886\) −29.9745 + 4.51793i −1.00701 + 0.151783i
\(887\) 8.00809 + 0.299642i 0.268885 + 0.0100610i 0.171494 0.985185i \(-0.445141\pi\)
0.0973914 + 0.995246i \(0.468950\pi\)
\(888\) −11.6850 18.5966i −0.392123 0.624060i
\(889\) 2.28554 + 44.6838i 0.0766546 + 1.49865i
\(890\) 41.2732 28.9012i 1.38348 0.968770i
\(891\) 82.2610 + 56.0846i 2.75585 + 1.87890i
\(892\) −0.104773 2.80013i −0.00350807 0.0937552i
\(893\) 12.0187 + 2.27406i 0.402190 + 0.0760984i
\(894\) 90.2490 + 13.6028i 3.01838 + 0.454947i
\(895\) 21.8600 + 24.7692i 0.730698 + 0.827943i
\(896\) −10.5061 + 31.3984i −0.350983 + 1.04895i
\(897\) −3.04356 + 8.69799i −0.101621 + 0.290417i
\(898\) 22.3176 + 11.7952i 0.744746 + 0.393610i
\(899\) −5.62394 14.3296i −0.187569 0.477918i
\(900\) −6.38004 + 1.62487i −0.212668 + 0.0541622i
\(901\) 4.95133 2.85865i 0.164953 0.0952354i
\(902\) −8.39803 + 0.946231i −0.279624 + 0.0315060i
\(903\) −6.66924 + 10.0759i −0.221938 + 0.335306i
\(904\) −22.0978 + 17.6224i −0.734961 + 0.586112i
\(905\) −29.5354 + 30.2825i −0.981790 + 1.00663i
\(906\) 21.5030 + 1.61143i 0.714389 + 0.0535361i
\(907\) −0.389283 0.452356i −0.0129259 0.0150202i 0.751472 0.659766i \(-0.229344\pi\)
−0.764397 + 0.644745i \(0.776963\pi\)
\(908\) −0.244509 0.560421i −0.00811433 0.0185982i
\(909\) 23.4347 + 29.3862i 0.777281 + 0.974679i
\(910\) 1.85298 21.4917i 0.0614256 0.712442i
\(911\) −1.70772 + 2.14142i −0.0565794 + 0.0709483i −0.809316 0.587374i \(-0.800162\pi\)
0.752737 + 0.658322i \(0.228733\pi\)
\(912\) 73.1519 + 19.6010i 2.42230 + 0.649054i
\(913\) 5.10559 + 19.0543i 0.168970 + 0.630606i
\(914\) −35.5843 + 13.9658i −1.17703 + 0.461948i
\(915\) 33.1362 27.1091i 1.09545 0.896200i
\(916\) 0.354431 + 0.735983i 0.0117107 + 0.0243176i
\(917\) −8.95367 36.8907i −0.295676 1.21824i
\(918\) 5.30686 + 15.1661i 0.175153 + 0.500557i
\(919\) −1.95729 + 12.9858i −0.0645652 + 0.428362i 0.933074 + 0.359685i \(0.117116\pi\)
−0.997639 + 0.0686769i \(0.978122\pi\)
\(920\) 6.65430 1.34535i 0.219386 0.0443550i
\(921\) 13.2692 + 12.3120i 0.437235 + 0.405695i
\(922\) −8.12007 42.9156i −0.267420 1.41335i
\(923\) −21.5633 13.5491i −0.709764 0.445974i
\(924\) −4.41989 1.85670i −0.145404 0.0610809i
\(925\) 2.88656 11.9601i 0.0949094 0.393244i
\(926\) 16.9317 15.7103i 0.556410 0.516273i
\(927\) −124.560 91.9294i −4.09108 3.01936i
\(928\) −3.59120 6.79488i −0.117887 0.223053i
\(929\) −1.32474 17.6774i −0.0434633 0.579977i −0.975840 0.218488i \(-0.929888\pi\)
0.932376 0.361489i \(-0.117731\pi\)
\(930\) −7.92753 + 18.8075i −0.259954 + 0.616723i
\(931\) −14.5523 34.2848i −0.476934 1.12364i
\(932\) 0.140160 0.140160i 0.00459111 0.00459111i
\(933\) 18.9167 21.9816i 0.619304 0.719644i
\(934\) −7.45424 2.29933i −0.243910 0.0752363i
\(935\) 4.24721 2.52337i 0.138899 0.0825231i
\(936\) 36.0904 + 38.8961i 1.17965 + 1.27136i
\(937\) 28.9766 18.2072i 0.946624 0.594803i 0.0321653 0.999483i \(-0.489760\pi\)
0.914459 + 0.404679i \(0.132617\pi\)
\(938\) −19.8371 + 35.4729i −0.647705 + 1.15823i
\(939\) 31.3447 7.15421i 1.02289 0.233469i
\(940\) −0.179426 + 0.833995i −0.00585223 + 0.0272019i
\(941\) −26.4465 + 28.5026i −0.862131 + 0.929157i −0.998104 0.0615560i \(-0.980394\pi\)
0.135972 + 0.990713i \(0.456584\pi\)
\(942\) −0.891669 + 4.71258i −0.0290521 + 0.153544i
\(943\) −1.57392 + 1.16161i −0.0512539 + 0.0378271i
\(944\) −4.38623 2.11230i −0.142760 0.0687494i
\(945\) −95.0442 + 16.8824i −3.09179 + 0.549186i
\(946\) 6.04697 2.91207i 0.196604 0.0946795i
\(947\) 6.78989 12.8471i 0.220642 0.417474i −0.748800 0.662796i \(-0.769370\pi\)
0.969442 + 0.245322i \(0.0788935\pi\)
\(948\) −0.968941 0.422745i −0.0314697 0.0137301i
\(949\) −4.61023 2.66172i −0.149654 0.0864029i
\(950\) 19.1540 + 34.1483i 0.621438 + 1.10792i
\(951\) 42.8628 + 34.1819i 1.38992 + 1.10842i
\(952\) 2.44567 + 4.10505i 0.0792646 + 0.133046i
\(953\) −4.00046 + 35.5050i −0.129587 + 1.15012i 0.745619 + 0.666372i \(0.232154\pi\)
−0.875207 + 0.483749i \(0.839275\pi\)
\(954\) 92.8812 + 36.4532i 3.00714 + 1.18022i
\(955\) −42.6776 21.8783i −1.38101 0.707965i
\(956\) 0.0661656 0.882919i 0.00213995 0.0285556i
\(957\) −82.1368 + 35.8359i −2.65510 + 1.15841i
\(958\) −30.2246 3.40550i −0.976513 0.110027i
\(959\) −7.01789 0.166322i −0.226620 0.00537080i
\(960\) 15.1194 51.2811i 0.487976 1.65509i
\(961\) −13.7411 23.8003i −0.443261 0.767751i
\(962\) 8.66654 2.32219i 0.279420 0.0748705i
\(963\) −13.1179 + 30.0666i −0.422719 + 0.968882i
\(964\) 1.41833 0.437497i 0.0456813 0.0140908i
\(965\) −17.6778 + 19.5359i −0.569068 + 0.628883i
\(966\) −14.3682 + 1.81864i −0.462289 + 0.0585138i
\(967\) −10.2202 + 3.57620i −0.328659 + 0.115003i −0.489565 0.871967i \(-0.662844\pi\)
0.160906 + 0.986970i \(0.448559\pi\)
\(968\) 0.155716 + 0.210988i 0.00500490 + 0.00678140i
\(969\) 9.72688 6.63168i 0.312472 0.213040i
\(970\) −38.7028 + 17.4644i −1.24267 + 0.560749i
\(971\) 25.8625 37.9334i 0.829968 1.21734i −0.143757 0.989613i \(-0.545918\pi\)
0.973725 0.227727i \(-0.0731294\pi\)
\(972\) −4.48120 + 7.13178i −0.143734 + 0.228752i
\(973\) 7.51897 + 45.6327i 0.241047 + 1.46292i
\(974\) 16.6140 + 3.79204i 0.532348 + 0.121505i
\(975\) −2.03997 + 40.9119i −0.0653312 + 1.31023i
\(976\) −3.71455 24.6444i −0.118900 0.788848i
\(977\) −18.9158 + 9.99730i −0.605171 + 0.319842i −0.741636 0.670803i \(-0.765950\pi\)
0.136465 + 0.990645i \(0.456426\pi\)
\(978\) −55.8669 48.0774i −1.78643 1.53734i
\(979\) −50.5558 −1.61577
\(980\) 2.41563 0.955036i 0.0771643 0.0305075i
\(981\) −2.40986 −0.0769408
\(982\) 20.7541 + 17.8603i 0.662290 + 0.569947i
\(983\) 25.7372 13.6025i 0.820889 0.433852i −0.00341907 0.999994i \(-0.501088\pi\)
0.824308 + 0.566142i \(0.191565\pi\)
\(984\) 2.31348 + 15.3489i 0.0737510 + 0.489306i
\(985\) −31.1979 14.5470i −0.994048 0.463505i
\(986\) −7.87951 1.79845i −0.250935 0.0572742i
\(987\) −5.66435 + 19.2985i −0.180298 + 0.614277i
\(988\) −1.16390 + 1.85234i −0.0370286 + 0.0589307i
\(989\) 0.875126 1.28357i 0.0278274 0.0408153i
\(990\) 80.6449 + 30.4941i 2.56306 + 0.969165i
\(991\) 30.1950 20.5866i 0.959176 0.653955i 0.0208773 0.999782i \(-0.493354\pi\)
0.938298 + 0.345827i \(0.112402\pi\)
\(992\) 1.04293 + 1.41312i 0.0331131 + 0.0448667i
\(993\) −32.9808 + 11.5405i −1.04661 + 0.366226i
\(994\) 3.93585 39.8305i 0.124837 1.26335i
\(995\) −1.25598 25.1544i −0.0398171 0.797449i
\(996\) −3.13275 + 0.966324i −0.0992649 + 0.0306192i
\(997\) 21.0940 48.3479i 0.668052 1.53119i −0.169907 0.985460i \(-0.554347\pi\)
0.837959 0.545732i \(-0.183749\pi\)
\(998\) 60.5383 16.2212i 1.91630 0.513472i
\(999\) −20.0754 34.7717i −0.635158 1.10013i
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 245.2.x.a.213.20 yes 624
5.2 odd 4 inner 245.2.x.a.17.7 624
49.26 odd 42 inner 245.2.x.a.173.7 yes 624
245.222 even 84 inner 245.2.x.a.222.20 yes 624
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
245.2.x.a.17.7 624 5.2 odd 4 inner
245.2.x.a.173.7 yes 624 49.26 odd 42 inner
245.2.x.a.213.20 yes 624 1.1 even 1 trivial
245.2.x.a.222.20 yes 624 245.222 even 84 inner