Properties

Label 920.2.bn.b.339.103
Level $920$
Weight $2$
Character 920.339
Analytic conductor $7.346$
Analytic rank $0$
Dimension $1360$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [920,2,Mod(19,920)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(920, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 11, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("920.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 920 = 2^{3} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 920.bn (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.34623698596\)
Analytic rank: \(0\)
Dimension: \(1360\)
Relative dimension: \(136\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 339.103
Character \(\chi\) \(=\) 920.339
Dual form 920.2.bn.b.19.103

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.01425 - 0.985544i) q^{2} +(-0.0658035 + 0.224106i) q^{3} +(0.0574057 - 1.99918i) q^{4} +(-0.0287344 - 2.23588i) q^{5} +(0.154125 + 0.292152i) q^{6} +(-3.12031 - 0.448633i) q^{7} +(-1.91205 - 2.08424i) q^{8} +(2.47787 + 1.59243i) q^{9} +O(q^{10})\) \(q+(1.01425 - 0.985544i) q^{2} +(-0.0658035 + 0.224106i) q^{3} +(0.0574057 - 1.99918i) q^{4} +(-0.0287344 - 2.23588i) q^{5} +(0.154125 + 0.292152i) q^{6} +(-3.12031 - 0.448633i) q^{7} +(-1.91205 - 2.08424i) q^{8} +(2.47787 + 1.59243i) q^{9} +(-2.23271 - 2.23943i) q^{10} +(0.180489 - 0.0824266i) q^{11} +(0.444250 + 0.144418i) q^{12} +(-0.394301 - 2.74243i) q^{13} +(-3.60692 + 2.62018i) q^{14} +(0.502966 + 0.140689i) q^{15} +(-3.99341 - 0.229528i) q^{16} +(2.78715 - 3.21654i) q^{17} +(4.08259 - 0.826927i) q^{18} +(-0.0789333 + 0.0683961i) q^{19} +(-4.47157 - 0.0709073i) q^{20} +(0.305869 - 0.669759i) q^{21} +(0.101826 - 0.261481i) q^{22} +(-3.63377 + 3.12981i) q^{23} +(0.592910 - 0.291352i) q^{24} +(-4.99835 + 0.128493i) q^{25} +(-3.10270 - 2.39290i) q^{26} +(-1.04948 + 0.909379i) q^{27} +(-1.07602 + 6.21230i) q^{28} +(-7.24523 - 6.27803i) q^{29} +(0.648788 - 0.353001i) q^{30} +(-0.0110361 - 0.0375854i) q^{31} +(-4.27652 + 3.70288i) q^{32} +(0.00659549 + 0.0458727i) q^{33} +(-0.343178 - 6.00924i) q^{34} +(-0.913431 + 6.98954i) q^{35} +(3.32579 - 4.86228i) q^{36} +(-0.475110 + 0.739285i) q^{37} +(-0.0126507 + 0.147163i) q^{38} +(0.640541 + 0.0920958i) q^{39} +(-4.60518 + 4.33502i) q^{40} +(-1.70941 + 1.09857i) q^{41} +(-0.349850 - 0.980750i) q^{42} +(-3.81938 - 1.12147i) q^{43} +(-0.154424 - 0.365561i) q^{44} +(3.48928 - 5.58598i) q^{45} +(-0.600981 + 6.75565i) q^{46} +4.76485 q^{47} +(0.314219 - 0.879843i) q^{48} +(2.81862 + 0.827621i) q^{49} +(-4.94294 + 5.05642i) q^{50} +(0.537443 + 0.836277i) q^{51} +(-5.50523 + 0.630847i) q^{52} +(12.7008 + 1.82610i) q^{53} +(-0.168201 + 1.95665i) q^{54} +(-0.189483 - 0.401184i) q^{55} +(5.03114 + 7.36129i) q^{56} +(-0.0101339 - 0.0221901i) q^{57} +(-13.5358 + 0.773005i) q^{58} +(-0.150366 - 1.04582i) q^{59} +(0.310136 - 0.997441i) q^{60} +(9.52334 - 2.79630i) q^{61} +(-0.0482353 - 0.0272444i) q^{62} +(-7.01730 - 6.08053i) q^{63} +(-0.688111 + 7.97035i) q^{64} +(-6.12042 + 0.960414i) q^{65} +(0.0518990 + 0.0400262i) q^{66} +(3.96415 - 8.68027i) q^{67} +(-6.27044 - 5.75665i) q^{68} +(-0.462295 - 1.02030i) q^{69} +(5.96206 + 7.98937i) q^{70} +(11.0830 + 5.06146i) q^{71} +(-1.41881 - 8.20928i) q^{72} +(-1.33180 + 1.15401i) q^{73} +(0.246718 + 1.21806i) q^{74} +(0.300112 - 1.12862i) q^{75} +(0.132205 + 0.161728i) q^{76} +(-0.600162 + 0.176223i) q^{77} +(0.740433 - 0.537873i) q^{78} +(-1.72103 - 11.9700i) q^{79} +(-0.398450 + 8.93539i) q^{80} +(3.53601 + 7.74278i) q^{81} +(-0.651078 + 2.79892i) q^{82} +(2.52614 + 1.62345i) q^{83} +(-1.32141 - 0.649933i) q^{84} +(-7.27190 - 6.13932i) q^{85} +(-4.97906 + 2.62671i) q^{86} +(1.88371 - 1.21058i) q^{87} +(-0.516902 - 0.218579i) q^{88} +(1.45310 - 4.94882i) q^{89} +(-1.96622 - 9.10442i) q^{90} +8.73412i q^{91} +(6.04845 + 7.44421i) q^{92} +0.00914931 q^{93} +(4.83274 - 4.69597i) q^{94} +(0.155194 + 0.174520i) q^{95} +(-0.548428 - 1.20206i) q^{96} +(11.1018 - 7.13467i) q^{97} +(3.67444 - 1.93846i) q^{98} +(0.578487 + 0.0831738i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1360 q - 14 q^{4} - 30 q^{6} + 108 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1360 q - 14 q^{4} - 30 q^{6} + 108 q^{9} - 11 q^{10} - 44 q^{11} - 22 q^{14} + 2 q^{16} - 44 q^{19} - 11 q^{20} - 48 q^{24} - 38 q^{25} - 62 q^{26} - 11 q^{30} - 44 q^{34} + 142 q^{35} + 26 q^{36} - 11 q^{40} - 28 q^{41} + 110 q^{44} + 10 q^{46} + 28 q^{49} - 15 q^{50} - 44 q^{51} - 34 q^{54} - 22 q^{56} - 288 q^{59} - 11 q^{60} - 26 q^{64} - 22 q^{65} - 88 q^{66} - 14 q^{70} - 22 q^{74} - 30 q^{75} - 132 q^{76} + 88 q^{80} - 116 q^{81} - 22 q^{84} - 242 q^{86} - 44 q^{89} + 220 q^{90} - 126 q^{94} - 456 q^{96} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).

\(n\) \(231\) \(281\) \(461\) \(737\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{22}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.01425 0.985544i 0.717183 0.696885i
\(3\) −0.0658035 + 0.224106i −0.0379916 + 0.129388i −0.976305 0.216398i \(-0.930569\pi\)
0.938314 + 0.345785i \(0.112387\pi\)
\(4\) 0.0574057 1.99918i 0.0287028 0.999588i
\(5\) −0.0287344 2.23588i −0.0128504 0.999917i
\(6\) 0.154125 + 0.292152i 0.0629213 + 0.119270i
\(7\) −3.12031 0.448633i −1.17937 0.169567i −0.475380 0.879781i \(-0.657689\pi\)
−0.703987 + 0.710213i \(0.748599\pi\)
\(8\) −1.91205 2.08424i −0.676013 0.736890i
\(9\) 2.47787 + 1.59243i 0.825956 + 0.530810i
\(10\) −2.23271 2.23943i −0.706043 0.708169i
\(11\) 0.180489 0.0824266i 0.0544195 0.0248526i −0.388019 0.921651i \(-0.626841\pi\)
0.442439 + 0.896799i \(0.354113\pi\)
\(12\) 0.444250 + 0.144418i 0.128244 + 0.0416898i
\(13\) −0.394301 2.74243i −0.109360 0.760612i −0.968525 0.248915i \(-0.919926\pi\)
0.859166 0.511697i \(-0.170983\pi\)
\(14\) −3.60692 + 2.62018i −0.963991 + 0.700272i
\(15\) 0.502966 + 0.140689i 0.129865 + 0.0363258i
\(16\) −3.99341 0.229528i −0.998352 0.0573820i
\(17\) 2.78715 3.21654i 0.675983 0.780126i −0.309317 0.950959i \(-0.600100\pi\)
0.985300 + 0.170833i \(0.0546458\pi\)
\(18\) 4.08259 0.826927i 0.962275 0.194909i
\(19\) −0.0789333 + 0.0683961i −0.0181085 + 0.0156911i −0.663868 0.747850i \(-0.731086\pi\)
0.645759 + 0.763541i \(0.276541\pi\)
\(20\) −4.47157 0.0709073i −0.999874 0.0158553i
\(21\) 0.305869 0.669759i 0.0667460 0.146153i
\(22\) 0.101826 0.261481i 0.0217094 0.0557480i
\(23\) −3.63377 + 3.12981i −0.757693 + 0.652611i
\(24\) 0.592910 0.291352i 0.121027 0.0594720i
\(25\) −4.99835 + 0.128493i −0.999670 + 0.0256987i
\(26\) −3.10270 2.39290i −0.608490 0.469287i
\(27\) −1.04948 + 0.909379i −0.201972 + 0.175010i
\(28\) −1.07602 + 6.21230i −0.203349 + 1.17401i
\(29\) −7.24523 6.27803i −1.34541 1.16580i −0.971148 0.238477i \(-0.923352\pi\)
−0.374258 0.927325i \(-0.622103\pi\)
\(30\) 0.648788 0.353001i 0.118452 0.0644488i
\(31\) −0.0110361 0.0375854i −0.00198213 0.00675053i 0.958496 0.285106i \(-0.0920288\pi\)
−0.960478 + 0.278356i \(0.910211\pi\)
\(32\) −4.27652 + 3.70288i −0.755990 + 0.654583i
\(33\) 0.00659549 + 0.0458727i 0.00114813 + 0.00798541i
\(34\) −0.343178 6.00924i −0.0588546 1.03058i
\(35\) −0.913431 + 6.98954i −0.154398 + 1.18145i
\(36\) 3.32579 4.86228i 0.554298 0.810380i
\(37\) −0.475110 + 0.739285i −0.0781076 + 0.121538i −0.878110 0.478460i \(-0.841195\pi\)
0.800002 + 0.599997i \(0.204832\pi\)
\(38\) −0.0126507 + 0.147163i −0.00205222 + 0.0238730i
\(39\) 0.640541 + 0.0920958i 0.102569 + 0.0147471i
\(40\) −4.60518 + 4.33502i −0.728142 + 0.685426i
\(41\) −1.70941 + 1.09857i −0.266965 + 0.171568i −0.667274 0.744812i \(-0.732539\pi\)
0.400309 + 0.916380i \(0.368903\pi\)
\(42\) −0.349850 0.980750i −0.0539830 0.151333i
\(43\) −3.81938 1.12147i −0.582450 0.171023i −0.0227830 0.999740i \(-0.507253\pi\)
−0.559667 + 0.828718i \(0.689071\pi\)
\(44\) −0.154424 0.365561i −0.0232803 0.0551105i
\(45\) 3.48928 5.58598i 0.520152 0.832709i
\(46\) −0.600981 + 6.75565i −0.0886098 + 0.996066i
\(47\) 4.76485 0.695024 0.347512 0.937676i \(-0.387027\pi\)
0.347512 + 0.937676i \(0.387027\pi\)
\(48\) 0.314219 0.879843i 0.0453536 0.126994i
\(49\) 2.81862 + 0.827621i 0.402660 + 0.118232i
\(50\) −4.94294 + 5.05642i −0.699037 + 0.715085i
\(51\) 0.537443 + 0.836277i 0.0752570 + 0.117102i
\(52\) −5.50523 + 0.630847i −0.763438 + 0.0874828i
\(53\) 12.7008 + 1.82610i 1.74459 + 0.250834i 0.939557 0.342393i \(-0.111237\pi\)
0.805035 + 0.593228i \(0.202147\pi\)
\(54\) −0.168201 + 1.95665i −0.0228893 + 0.266266i
\(55\) −0.189483 0.401184i −0.0255498 0.0540957i
\(56\) 5.03114 + 7.36129i 0.672314 + 0.983693i
\(57\) −0.0101339 0.0221901i −0.00134227 0.00293915i
\(58\) −13.5358 + 0.773005i −1.77733 + 0.101501i
\(59\) −0.150366 1.04582i −0.0195760 0.136154i 0.977690 0.210055i \(-0.0673643\pi\)
−0.997266 + 0.0739007i \(0.976455\pi\)
\(60\) 0.310136 0.997441i 0.0400384 0.128769i
\(61\) 9.52334 2.79630i 1.21934 0.358030i 0.392122 0.919913i \(-0.371741\pi\)
0.827216 + 0.561883i \(0.189923\pi\)
\(62\) −0.0482353 0.0272444i −0.00612589 0.00346004i
\(63\) −7.01730 6.08053i −0.884097 0.766074i
\(64\) −0.688111 + 7.97035i −0.0860139 + 0.996294i
\(65\) −6.12042 + 0.960414i −0.759144 + 0.119125i
\(66\) 0.0518990 + 0.0400262i 0.00638833 + 0.00492688i
\(67\) 3.96415 8.68027i 0.484298 1.06046i −0.496962 0.867772i \(-0.665551\pi\)
0.981259 0.192691i \(-0.0617216\pi\)
\(68\) −6.27044 5.75665i −0.760402 0.698097i
\(69\) −0.462295 1.02030i −0.0556538 0.122830i
\(70\) 5.96206 + 7.98937i 0.712602 + 0.954912i
\(71\) 11.0830 + 5.06146i 1.31532 + 0.600684i 0.944649 0.328082i \(-0.106402\pi\)
0.370666 + 0.928766i \(0.379129\pi\)
\(72\) −1.41881 8.20928i −0.167208 0.967472i
\(73\) −1.33180 + 1.15401i −0.155875 + 0.135066i −0.729307 0.684187i \(-0.760157\pi\)
0.573432 + 0.819253i \(0.305612\pi\)
\(74\) 0.246718 + 1.21806i 0.0286804 + 0.141597i
\(75\) 0.300112 1.12862i 0.0346540 0.130321i
\(76\) 0.132205 + 0.161728i 0.0151649 + 0.0185515i
\(77\) −0.600162 + 0.176223i −0.0683948 + 0.0200825i
\(78\) 0.740433 0.537873i 0.0838375 0.0609021i
\(79\) −1.72103 11.9700i −0.193631 1.34673i −0.822298 0.569057i \(-0.807308\pi\)
0.628667 0.777674i \(-0.283601\pi\)
\(80\) −0.398450 + 8.93539i −0.0445480 + 0.999007i
\(81\) 3.53601 + 7.74278i 0.392890 + 0.860309i
\(82\) −0.651078 + 2.79892i −0.0718995 + 0.309089i
\(83\) 2.52614 + 1.62345i 0.277280 + 0.178197i 0.671888 0.740653i \(-0.265483\pi\)
−0.394609 + 0.918849i \(0.629120\pi\)
\(84\) −1.32141 0.649933i −0.144177 0.0709135i
\(85\) −7.27190 6.13932i −0.788749 0.665903i
\(86\) −4.97906 + 2.62671i −0.536906 + 0.283246i
\(87\) 1.88371 1.21058i 0.201954 0.129788i
\(88\) −0.516902 0.218579i −0.0551019 0.0233006i
\(89\) 1.45310 4.94882i 0.154029 0.524574i −0.845933 0.533289i \(-0.820956\pi\)
0.999962 + 0.00871508i \(0.00277413\pi\)
\(90\) −1.96622 9.10442i −0.207258 0.959690i
\(91\) 8.73412i 0.915585i
\(92\) 6.04845 + 7.44421i 0.630594 + 0.776113i
\(93\) 0.00914931 0.000948740
\(94\) 4.83274 4.69597i 0.498459 0.484352i
\(95\) 0.155194 + 0.174520i 0.0159226 + 0.0179054i
\(96\) −0.548428 1.20206i −0.0559737 0.122684i
\(97\) 11.1018 7.13467i 1.12721 0.724416i 0.162236 0.986752i \(-0.448129\pi\)
0.964977 + 0.262336i \(0.0844930\pi\)
\(98\) 3.67444 1.93846i 0.371174 0.195814i
\(99\) 0.578487 + 0.0831738i 0.0581401 + 0.00835929i
\(100\) −0.0300525 + 9.99995i −0.00300525 + 0.999995i
\(101\) −0.469852 + 0.731105i −0.0467521 + 0.0727476i −0.863843 0.503761i \(-0.831949\pi\)
0.817091 + 0.576509i \(0.195585\pi\)
\(102\) 1.36929 + 0.318520i 0.135580 + 0.0315382i
\(103\) −16.8549 + 7.69739i −1.66076 + 0.758446i −0.660796 + 0.750566i \(0.729781\pi\)
−0.999969 + 0.00788042i \(0.997492\pi\)
\(104\) −4.96195 + 6.06548i −0.486559 + 0.594769i
\(105\) −1.50629 0.664641i −0.146999 0.0648624i
\(106\) 14.6815 10.6651i 1.42599 1.03589i
\(107\) 8.17368 2.40001i 0.790179 0.232018i 0.138350 0.990383i \(-0.455820\pi\)
0.651829 + 0.758366i \(0.274002\pi\)
\(108\) 1.75776 + 2.15030i 0.169141 + 0.206913i
\(109\) 9.40340 10.8521i 0.900682 1.03944i −0.0983365 0.995153i \(-0.531352\pi\)
0.999019 0.0442895i \(-0.0141024\pi\)
\(110\) −0.587568 0.220158i −0.0560224 0.0209912i
\(111\) −0.134414 0.155122i −0.0127580 0.0147236i
\(112\) 12.3577 + 2.50777i 1.16769 + 0.236962i
\(113\) 4.87468 10.6741i 0.458571 1.00413i −0.529240 0.848472i \(-0.677523\pi\)
0.987811 0.155658i \(-0.0497499\pi\)
\(114\) −0.0321477 0.0125189i −0.00301090 0.00117251i
\(115\) 7.10231 + 8.03475i 0.662294 + 0.749244i
\(116\) −12.9668 + 14.1241i −1.20394 + 1.31139i
\(117\) 3.39009 7.42327i 0.313414 0.686281i
\(118\) −1.18321 0.912531i −0.108923 0.0840053i
\(119\) −10.1398 + 8.78621i −0.929516 + 0.805430i
\(120\) −0.668466 1.31731i −0.0610224 0.120253i
\(121\) −7.17769 + 8.28349i −0.652517 + 0.753045i
\(122\) 6.90316 12.2218i 0.624983 1.10651i
\(123\) −0.133711 0.455378i −0.0120563 0.0410601i
\(124\) −0.0757733 + 0.0199054i −0.00680464 + 0.00178756i
\(125\) 0.430921 + 11.1720i 0.0385427 + 0.999257i
\(126\) −13.1099 + 0.748687i −1.16792 + 0.0666983i
\(127\) −2.54185 5.56588i −0.225553 0.493892i 0.762694 0.646760i \(-0.223876\pi\)
−0.988247 + 0.152868i \(0.951149\pi\)
\(128\) 7.15722 + 8.76209i 0.632615 + 0.774467i
\(129\) 0.502657 0.782149i 0.0442565 0.0688644i
\(130\) −5.26110 + 7.00604i −0.461429 + 0.614470i
\(131\) 2.33430 16.2354i 0.203949 1.41850i −0.588470 0.808519i \(-0.700269\pi\)
0.792419 0.609977i \(-0.208822\pi\)
\(132\) 0.0920862 0.0105522i 0.00801507 0.000918451i
\(133\) 0.276981 0.178005i 0.0240173 0.0154350i
\(134\) −4.53415 12.7108i −0.391691 1.09805i
\(135\) 2.06342 + 2.32038i 0.177591 + 0.199707i
\(136\) −12.0332 + 0.341109i −1.03184 + 0.0292499i
\(137\) −18.7653 −1.60323 −0.801613 0.597843i \(-0.796025\pi\)
−0.801613 + 0.597843i \(0.796025\pi\)
\(138\) −1.47444 0.579229i −0.125512 0.0493072i
\(139\) 17.4862 1.48316 0.741579 0.670866i \(-0.234077\pi\)
0.741579 + 0.670866i \(0.234077\pi\)
\(140\) 13.9209 + 2.22735i 1.17653 + 0.188245i
\(141\) −0.313543 + 1.06783i −0.0264051 + 0.0899275i
\(142\) 16.2293 5.78925i 1.36193 0.485823i
\(143\) −0.297216 0.462477i −0.0248545 0.0386743i
\(144\) −9.52963 6.92796i −0.794136 0.577330i
\(145\) −13.8288 + 16.3799i −1.14842 + 1.36028i
\(146\) −0.213448 + 2.48300i −0.0176651 + 0.205494i
\(147\) −0.370950 + 0.577209i −0.0305954 + 0.0476074i
\(148\) 1.45069 + 0.992267i 0.119246 + 0.0815639i
\(149\) −4.17046 9.13204i −0.341658 0.748126i 0.658332 0.752728i \(-0.271262\pi\)
−0.999989 + 0.00460187i \(0.998535\pi\)
\(150\) −0.807911 1.44047i −0.0659657 0.117614i
\(151\) 0.668217 0.0960751i 0.0543787 0.00781848i −0.115072 0.993357i \(-0.536710\pi\)
0.169451 + 0.985539i \(0.445801\pi\)
\(152\) 0.293479 + 0.0337390i 0.0238043 + 0.00273660i
\(153\) 12.0283 3.53183i 0.972431 0.285531i
\(154\) −0.435038 + 0.770220i −0.0350564 + 0.0620661i
\(155\) −0.0837194 + 0.0257553i −0.00672450 + 0.00206872i
\(156\) 0.220886 1.27527i 0.0176851 0.102103i
\(157\) 10.2658 8.89537i 0.819300 0.709927i −0.140662 0.990058i \(-0.544923\pi\)
0.959962 + 0.280130i \(0.0903776\pi\)
\(158\) −13.5425 10.4444i −1.07739 0.830915i
\(159\) −1.24500 + 2.72617i −0.0987348 + 0.216199i
\(160\) 8.40210 + 9.45541i 0.664244 + 0.747516i
\(161\) 12.7426 8.13576i 1.00426 0.641188i
\(162\) 11.2173 + 4.36822i 0.881310 + 0.343200i
\(163\) 16.7642 + 7.65593i 1.31307 + 0.599659i 0.944062 0.329767i \(-0.106970\pi\)
0.369008 + 0.929426i \(0.379698\pi\)
\(164\) 2.09811 + 3.48047i 0.163834 + 0.271779i
\(165\) 0.102376 0.0160649i 0.00796999 0.00125065i
\(166\) 4.16211 0.843036i 0.323043 0.0654323i
\(167\) −11.1028 + 12.8133i −0.859161 + 0.991525i 0.140838 + 0.990033i \(0.455020\pi\)
−0.999999 + 0.00149229i \(0.999525\pi\)
\(168\) −1.98077 + 0.643110i −0.152820 + 0.0496170i
\(169\) 5.10798 1.49984i 0.392922 0.115372i
\(170\) −13.4261 + 0.939978i −1.02973 + 0.0720930i
\(171\) −0.304502 + 0.0437808i −0.0232859 + 0.00334800i
\(172\) −2.46127 + 7.57123i −0.187670 + 0.577301i
\(173\) 8.96725 + 19.6355i 0.681767 + 1.49286i 0.860760 + 0.509011i \(0.169989\pi\)
−0.178993 + 0.983850i \(0.557284\pi\)
\(174\) 0.717464 3.08431i 0.0543908 0.233821i
\(175\) 15.6540 + 1.84148i 1.18333 + 0.139203i
\(176\) −0.739686 + 0.287736i −0.0557560 + 0.0216889i
\(177\) 0.244269 + 0.0351206i 0.0183604 + 0.00263983i
\(178\) −3.40347 6.45144i −0.255101 0.483556i
\(179\) −6.65189 + 4.27491i −0.497186 + 0.319522i −0.765090 0.643924i \(-0.777305\pi\)
0.267904 + 0.963446i \(0.413669\pi\)
\(180\) −10.9671 7.29636i −0.817436 0.543839i
\(181\) −4.55023 1.33607i −0.338216 0.0993091i 0.108214 0.994128i \(-0.465487\pi\)
−0.446430 + 0.894818i \(0.647305\pi\)
\(182\) 8.60786 + 8.85858i 0.638057 + 0.656642i
\(183\) 2.31824i 0.171369i
\(184\) 13.4712 + 1.58928i 0.993113 + 0.117163i
\(185\) 1.66661 + 1.04105i 0.122531 + 0.0765393i
\(186\) 0.00927969 0.00901705i 0.000680420 0.000661162i
\(187\) 0.237922 0.810287i 0.0173986 0.0592540i
\(188\) 0.273529 9.52576i 0.0199492 0.694738i
\(189\) 3.68268 2.36672i 0.267876 0.172153i
\(190\) 0.329403 + 0.0240569i 0.0238974 + 0.00174527i
\(191\) −2.57856 + 17.9343i −0.186578 + 1.29768i 0.654210 + 0.756313i \(0.273001\pi\)
−0.840788 + 0.541364i \(0.817908\pi\)
\(192\) −1.74092 0.678687i −0.125640 0.0489800i
\(193\) −5.97982 + 9.30479i −0.430437 + 0.669773i −0.986943 0.161071i \(-0.948505\pi\)
0.556506 + 0.830844i \(0.312142\pi\)
\(194\) 4.22843 18.1776i 0.303583 1.30508i
\(195\) 0.187510 1.43482i 0.0134279 0.102750i
\(196\) 1.81636 5.58740i 0.129740 0.399100i
\(197\) −0.698197 4.85607i −0.0497445 0.345981i −0.999460 0.0328657i \(-0.989537\pi\)
0.949715 0.313115i \(-0.101372\pi\)
\(198\) 0.668702 0.485765i 0.0475226 0.0345218i
\(199\) 26.2034 7.69401i 1.85751 0.545414i 0.858014 0.513627i \(-0.171698\pi\)
0.999495 0.0317867i \(-0.0101197\pi\)
\(200\) 9.82492 + 10.1721i 0.694726 + 0.719274i
\(201\) 1.68445 + 1.45958i 0.118812 + 0.102951i
\(202\) 0.243988 + 1.20458i 0.0171669 + 0.0847542i
\(203\) 19.7909 + 22.8399i 1.38905 + 1.60304i
\(204\) 1.70272 1.02644i 0.119214 0.0718648i
\(205\) 2.50539 + 3.79047i 0.174984 + 0.264738i
\(206\) −9.50899 + 24.4183i −0.662523 + 1.70131i
\(207\) −13.9880 + 1.96874i −0.972233 + 0.136837i
\(208\) 0.945143 + 11.0421i 0.0655339 + 0.765634i
\(209\) −0.00860895 + 0.0188510i −0.000595493 + 0.00130395i
\(210\) −2.18279 + 0.810404i −0.150627 + 0.0559232i
\(211\) −1.14749 1.32427i −0.0789965 0.0911668i 0.714875 0.699252i \(-0.246483\pi\)
−0.793872 + 0.608085i \(0.791938\pi\)
\(212\) 4.37980 25.2863i 0.300806 1.73667i
\(213\) −1.86361 + 2.15072i −0.127692 + 0.147365i
\(214\) 5.92484 10.4897i 0.405013 0.717063i
\(215\) −2.39773 + 8.57191i −0.163524 + 0.584599i
\(216\) 3.90202 + 0.448586i 0.265499 + 0.0305224i
\(217\) 0.0175739 + 0.122229i 0.00119299 + 0.00829745i
\(218\) −1.15783 20.2742i −0.0784180 1.37314i
\(219\) −0.170983 0.374401i −0.0115540 0.0252997i
\(220\) −0.812915 + 0.355779i −0.0548067 + 0.0239866i
\(221\) −9.92011 6.37527i −0.667299 0.428847i
\(222\) −0.289210 0.0248616i −0.0194105 0.00166860i
\(223\) −3.31114 + 23.0295i −0.221730 + 1.54217i 0.509761 + 0.860316i \(0.329734\pi\)
−0.731492 + 0.681851i \(0.761175\pi\)
\(224\) 15.0053 9.63555i 1.00259 0.643802i
\(225\) −12.5899 7.64112i −0.839324 0.509408i
\(226\) −5.57561 15.6304i −0.370884 1.03972i
\(227\) −2.38362 0.699893i −0.158206 0.0464535i 0.201670 0.979453i \(-0.435363\pi\)
−0.359877 + 0.933000i \(0.617181\pi\)
\(228\) −0.0449437 + 0.0189856i −0.00297647 + 0.00125735i
\(229\) −7.90113 −0.522121 −0.261061 0.965322i \(-0.584072\pi\)
−0.261061 + 0.965322i \(0.584072\pi\)
\(230\) 15.1221 + 1.14960i 0.997123 + 0.0758026i
\(231\) 0.146096i 0.00961241i
\(232\) 0.768345 + 27.1047i 0.0504443 + 1.77951i
\(233\) 4.18170 14.2416i 0.273952 0.932996i −0.701479 0.712691i \(-0.747476\pi\)
0.975431 0.220305i \(-0.0707054\pi\)
\(234\) −3.87756 10.8701i −0.253484 0.710603i
\(235\) −0.136915 10.6536i −0.00893134 0.694967i
\(236\) −2.09941 + 0.240573i −0.136660 + 0.0156600i
\(237\) 2.79580 + 0.401975i 0.181607 + 0.0261111i
\(238\) −1.62512 + 18.9047i −0.105341 + 1.22541i
\(239\) 2.10913 3.28187i 0.136428 0.212286i −0.766316 0.642463i \(-0.777913\pi\)
0.902745 + 0.430177i \(0.141549\pi\)
\(240\) −1.97626 0.677275i −0.127567 0.0437179i
\(241\) 8.88163 4.05610i 0.572116 0.261277i −0.108281 0.994120i \(-0.534535\pi\)
0.680397 + 0.732844i \(0.261807\pi\)
\(242\) 0.883779 + 15.4755i 0.0568114 + 0.994800i
\(243\) −6.09146 + 0.875820i −0.390768 + 0.0561839i
\(244\) −5.04361 19.1993i −0.322884 1.22911i
\(245\) 1.76947 6.32588i 0.113047 0.404146i
\(246\) −0.584412 0.330089i −0.0372607 0.0210457i
\(247\) 0.218695 + 0.189500i 0.0139152 + 0.0120576i
\(248\) −0.0572354 + 0.0948670i −0.00363445 + 0.00602406i
\(249\) −0.530053 + 0.459294i −0.0335908 + 0.0291066i
\(250\) 11.4476 + 10.9065i 0.724009 + 0.689790i
\(251\) −12.5450 5.72913i −0.791836 0.361620i −0.0219162 0.999760i \(-0.506977\pi\)
−0.769920 + 0.638140i \(0.779704\pi\)
\(252\) −12.5589 + 13.6798i −0.791135 + 0.861744i
\(253\) −0.397876 + 0.864417i −0.0250142 + 0.0543454i
\(254\) −8.06349 3.14008i −0.505948 0.197026i
\(255\) 1.85437 1.22569i 0.116125 0.0767556i
\(256\) 15.8946 + 1.83320i 0.993415 + 0.114575i
\(257\) −2.97967 + 2.58190i −0.185867 + 0.161054i −0.742824 0.669487i \(-0.766514\pi\)
0.556957 + 0.830541i \(0.311969\pi\)
\(258\) −0.261023 1.28868i −0.0162506 0.0802300i
\(259\) 1.81416 2.09365i 0.112726 0.130093i
\(260\) 1.56869 + 12.2909i 0.0972860 + 0.762251i
\(261\) −7.95541 27.0936i −0.492428 1.67705i
\(262\) −13.6332 18.7673i −0.842260 1.15945i
\(263\) −1.35118 + 0.194271i −0.0833174 + 0.0119792i −0.183847 0.982955i \(-0.558855\pi\)
0.100530 + 0.994934i \(0.467946\pi\)
\(264\) 0.0829987 0.101458i 0.00510822 0.00624428i
\(265\) 3.71800 28.4500i 0.228395 1.74767i
\(266\) 0.105496 0.453519i 0.00646840 0.0278070i
\(267\) 1.01344 + 0.651299i 0.0620215 + 0.0398588i
\(268\) −17.1258 8.42332i −1.04613 0.514536i
\(269\) −7.16474 1.03013i −0.436842 0.0628084i −0.0796143 0.996826i \(-0.525369\pi\)
−0.357228 + 0.934017i \(0.616278\pi\)
\(270\) 4.37967 + 0.319855i 0.266538 + 0.0194658i
\(271\) −5.95366 9.26407i −0.361659 0.562752i 0.611972 0.790879i \(-0.290376\pi\)
−0.973631 + 0.228127i \(0.926740\pi\)
\(272\) −11.8685 + 12.2052i −0.719635 + 0.740052i
\(273\) −1.95737 0.574735i −0.118465 0.0347846i
\(274\) −19.0327 + 18.4940i −1.14981 + 1.11726i
\(275\) −0.891557 + 0.435189i −0.0537629 + 0.0262429i
\(276\) −2.06630 + 0.865638i −0.124377 + 0.0521053i
\(277\) −11.9082 −0.715492 −0.357746 0.933819i \(-0.616455\pi\)
−0.357746 + 0.933819i \(0.616455\pi\)
\(278\) 17.7353 17.2334i 1.06370 1.03359i
\(279\) 0.0325061 0.110706i 0.00194609 0.00662777i
\(280\) 16.3144 11.4606i 0.974972 0.684900i
\(281\) −3.42437 5.32842i −0.204281 0.317867i 0.723964 0.689838i \(-0.242318\pi\)
−0.928244 + 0.371971i \(0.878682\pi\)
\(282\) 0.734383 + 1.39206i 0.0437319 + 0.0828958i
\(283\) 1.12305 7.81096i 0.0667582 0.464313i −0.928832 0.370502i \(-0.879186\pi\)
0.995590 0.0938117i \(-0.0299052\pi\)
\(284\) 10.7550 21.8664i 0.638190 1.29753i
\(285\) −0.0493234 + 0.0232958i −0.00292166 + 0.00137993i
\(286\) −0.757243 0.176148i −0.0447767 0.0104158i
\(287\) 5.82674 2.66098i 0.343942 0.157073i
\(288\) −16.4932 + 2.36519i −0.971873 + 0.139370i
\(289\) −0.158590 1.10302i −0.00932883 0.0648835i
\(290\) 2.11729 + 30.2422i 0.124332 + 1.77588i
\(291\) 0.868388 + 2.95746i 0.0509058 + 0.173369i
\(292\) 2.23061 + 2.72874i 0.130537 + 0.159688i
\(293\) 6.91268 + 5.98987i 0.403843 + 0.349932i 0.832976 0.553309i \(-0.186635\pi\)
−0.429133 + 0.903241i \(0.641181\pi\)
\(294\) 0.192629 + 0.951021i 0.0112344 + 0.0554647i
\(295\) −2.33401 + 0.366253i −0.135891 + 0.0213240i
\(296\) 2.44928 0.423309i 0.142362 0.0246044i
\(297\) −0.114463 + 0.250638i −0.00664180 + 0.0145435i
\(298\) −13.2299 5.15200i −0.766389 0.298447i
\(299\) 10.0161 + 8.73125i 0.579245 + 0.504941i
\(300\) −2.23907 0.664767i −0.129273 0.0383803i
\(301\) 11.4145 + 5.21284i 0.657922 + 0.300463i
\(302\) 0.583053 0.756002i 0.0335509 0.0435030i
\(303\) −0.132927 0.153406i −0.00763646 0.00881294i
\(304\) 0.330912 0.255016i 0.0189791 0.0146262i
\(305\) −6.52586 21.2127i −0.373669 1.21464i
\(306\) 8.71893 15.4366i 0.498428 0.882451i
\(307\) 7.62034 + 25.9525i 0.434916 + 1.48119i 0.827497 + 0.561470i \(0.189764\pi\)
−0.392582 + 0.919717i \(0.628418\pi\)
\(308\) 0.317849 + 1.20995i 0.0181111 + 0.0689430i
\(309\) −0.615918 4.28380i −0.0350384 0.243697i
\(310\) −0.0595293 + 0.108631i −0.00338104 + 0.00616985i
\(311\) −18.4761 + 8.43776i −1.04768 + 0.478461i −0.863457 0.504422i \(-0.831705\pi\)
−0.184227 + 0.982884i \(0.558978\pi\)
\(312\) −1.03280 1.51113i −0.0584706 0.0855510i
\(313\) 18.5648 + 11.9309i 1.04935 + 0.674374i 0.947281 0.320404i \(-0.103819\pi\)
0.102065 + 0.994778i \(0.467455\pi\)
\(314\) 1.64531 19.1395i 0.0928502 1.08011i
\(315\) −13.3937 + 15.8646i −0.754650 + 0.893868i
\(316\) −24.0290 + 2.75349i −1.35173 + 0.154896i
\(317\) 18.4424 11.8522i 1.03583 0.665687i 0.0918779 0.995770i \(-0.470713\pi\)
0.943952 + 0.330083i \(0.107077\pi\)
\(318\) 1.42402 + 3.99201i 0.0798549 + 0.223861i
\(319\) −1.82516 0.535916i −0.102190 0.0300056i
\(320\) 17.8405 + 1.30951i 0.997317 + 0.0732040i
\(321\) 1.98970i 0.111054i
\(322\) 4.90605 20.8101i 0.273404 1.15970i
\(323\) 0.444523i 0.0247339i
\(324\) 15.6822 6.62463i 0.871232 0.368035i
\(325\) 2.32324 + 13.6569i 0.128870 + 0.757551i
\(326\) 24.5483 8.75679i 1.35960 0.484994i
\(327\) 1.81324 + 2.82146i 0.100273 + 0.156027i
\(328\) 5.55816 + 1.46229i 0.306898 + 0.0807416i
\(329\) −14.8678 2.13767i −0.819688 0.117853i
\(330\) 0.0880026 0.117190i 0.00484438 0.00645111i
\(331\) −24.9257 16.0188i −1.37004 0.880471i −0.371197 0.928554i \(-0.621052\pi\)
−0.998843 + 0.0480830i \(0.984689\pi\)
\(332\) 3.39058 4.95700i 0.186082 0.272051i
\(333\) −2.35452 + 1.07527i −0.129027 + 0.0589245i
\(334\) 1.36707 + 23.9382i 0.0748030 + 1.30984i
\(335\) −19.5220 8.61395i −1.06660 0.470630i
\(336\) −1.37519 + 2.60442i −0.0750226 + 0.142083i
\(337\) −3.38733 + 0.994610i −0.184520 + 0.0541799i −0.372687 0.927957i \(-0.621563\pi\)
0.188167 + 0.982137i \(0.439745\pi\)
\(338\) 3.70261 6.55535i 0.201395 0.356564i
\(339\) 2.07135 + 1.79483i 0.112500 + 0.0974820i
\(340\) −12.6910 + 14.1854i −0.688268 + 0.769310i
\(341\) −0.00508992 0.00587408i −0.000275635 0.000318100i
\(342\) −0.265693 + 0.344505i −0.0143671 + 0.0186287i
\(343\) 11.6490 + 5.31991i 0.628986 + 0.287248i
\(344\) 4.96544 + 10.1048i 0.267719 + 0.544815i
\(345\) −2.26799 + 1.06296i −0.122105 + 0.0572276i
\(346\) 28.4467 + 11.0777i 1.52930 + 0.595542i
\(347\) −15.4324 7.04773i −0.828454 0.378342i −0.0443838 0.999015i \(-0.514132\pi\)
−0.784070 + 0.620672i \(0.786860\pi\)
\(348\) −2.31204 3.83535i −0.123938 0.205597i
\(349\) 3.13980 2.72065i 0.168070 0.145633i −0.566765 0.823879i \(-0.691805\pi\)
0.734835 + 0.678246i \(0.237260\pi\)
\(350\) 17.6920 13.5600i 0.945676 0.724814i
\(351\) 2.90772 + 2.51955i 0.155202 + 0.134484i
\(352\) −0.466650 + 1.02083i −0.0248725 + 0.0544104i
\(353\) −2.79630 9.52333i −0.148832 0.506876i 0.851001 0.525165i \(-0.175996\pi\)
−0.999833 + 0.0182891i \(0.994178\pi\)
\(354\) 0.282363 0.205117i 0.0150074 0.0109019i
\(355\) 10.9984 24.9258i 0.583732 1.32293i
\(356\) −9.81014 3.18910i −0.519936 0.169022i
\(357\) −1.30181 2.85056i −0.0688989 0.150868i
\(358\) −2.53357 + 10.8916i −0.133903 + 0.575637i
\(359\) −3.28485 2.11105i −0.173368 0.111417i 0.451079 0.892484i \(-0.351039\pi\)
−0.624447 + 0.781067i \(0.714676\pi\)
\(360\) −18.3142 + 3.40818i −0.965244 + 0.179627i
\(361\) −2.70243 + 18.7958i −0.142233 + 0.989253i
\(362\) −5.93182 + 3.12934i −0.311770 + 0.164475i
\(363\) −1.38406 2.15364i −0.0726445 0.113037i
\(364\) 17.4610 + 0.501388i 0.915207 + 0.0262799i
\(365\) 2.61850 + 2.94458i 0.137058 + 0.154126i
\(366\) 2.28473 + 2.35128i 0.119425 + 0.122903i
\(367\) 9.92027i 0.517834i −0.965900 0.258917i \(-0.916634\pi\)
0.965900 0.258917i \(-0.0833656\pi\)
\(368\) 15.2295 11.6646i 0.793893 0.608058i
\(369\) −5.98508 −0.311571
\(370\) 2.71635 0.586633i 0.141217 0.0304976i
\(371\) −38.8113 11.3960i −2.01498 0.591651i
\(372\) 0.000525222 0.0182911i 2.72315e−5 0.000948349i
\(373\) 0.688001 + 1.07055i 0.0356233 + 0.0554310i 0.858609 0.512632i \(-0.171329\pi\)
−0.822985 + 0.568063i \(0.807693\pi\)
\(374\) −0.557261 1.05632i −0.0288153 0.0546208i
\(375\) −2.53208 0.638586i −0.130756 0.0329765i
\(376\) −9.11063 9.93108i −0.469845 0.512156i
\(377\) −14.3602 + 22.3450i −0.739590 + 1.15082i
\(378\) 1.40266 6.02988i 0.0721449 0.310144i
\(379\) 16.4092 7.49382i 0.842883 0.384932i 0.0533025 0.998578i \(-0.483025\pi\)
0.789581 + 0.613646i \(0.210298\pi\)
\(380\) 0.357806 0.300241i 0.0183551 0.0154021i
\(381\) 1.41461 0.203390i 0.0724726 0.0104200i
\(382\) 15.0597 + 20.7311i 0.770521 + 1.06070i
\(383\) −0.213293 0.726410i −0.0108988 0.0371178i 0.953864 0.300239i \(-0.0970664\pi\)
−0.964763 + 0.263121i \(0.915248\pi\)
\(384\) −2.43461 + 1.02740i −0.124241 + 0.0524292i
\(385\) 0.411260 + 1.33683i 0.0209598 + 0.0681311i
\(386\) 3.10524 + 15.3308i 0.158053 + 0.780315i
\(387\) −7.67805 8.86094i −0.390297 0.450427i
\(388\) −13.6262 22.6039i −0.691763 1.14754i
\(389\) −8.88394 + 19.4531i −0.450433 + 0.986312i 0.539131 + 0.842222i \(0.318753\pi\)
−0.989565 + 0.144090i \(0.953975\pi\)
\(390\) −1.22390 1.64007i −0.0619744 0.0830480i
\(391\) −0.0606820 + 20.4114i −0.00306882 + 1.03225i
\(392\) −3.66438 7.45713i −0.185079 0.376642i
\(393\) 3.48485 + 1.59148i 0.175788 + 0.0802795i
\(394\) −5.49402 4.23716i −0.276784 0.213465i
\(395\) −26.7141 + 4.19197i −1.34413 + 0.210921i
\(396\) 0.199488 1.15172i 0.0100246 0.0578762i
\(397\) −4.92310 + 5.68156i −0.247083 + 0.285149i −0.865721 0.500527i \(-0.833140\pi\)
0.618637 + 0.785677i \(0.287685\pi\)
\(398\) 18.9940 33.6282i 0.952083 1.68563i
\(399\) 0.0216657 + 0.0737865i 0.00108464 + 0.00369395i
\(400\) 19.9899 + 0.634134i 0.999497 + 0.0317067i
\(401\) 10.7830 1.55036i 0.538479 0.0774215i 0.132290 0.991211i \(-0.457767\pi\)
0.406188 + 0.913789i \(0.366858\pi\)
\(402\) 3.14693 0.179716i 0.156955 0.00896343i
\(403\) −0.0987235 + 0.0450855i −0.00491777 + 0.00224587i
\(404\) 1.43463 + 0.981287i 0.0713757 + 0.0488209i
\(405\) 17.2104 8.12859i 0.855189 0.403913i
\(406\) 42.5826 + 3.66057i 2.11334 + 0.181671i
\(407\) −0.0248154 + 0.172595i −0.00123005 + 0.00855520i
\(408\) 0.715383 2.71916i 0.0354168 0.134619i
\(409\) −24.8758 + 15.9867i −1.23003 + 0.790492i −0.983896 0.178744i \(-0.942797\pi\)
−0.246134 + 0.969236i \(0.579160\pi\)
\(410\) 6.27677 + 1.37531i 0.309988 + 0.0679217i
\(411\) 1.23482 4.20541i 0.0609092 0.207438i
\(412\) 14.4209 + 34.1378i 0.710465 + 1.68185i
\(413\) 3.33075i 0.163895i
\(414\) −12.2470 + 15.7826i −0.601909 + 0.775672i
\(415\) 3.55726 5.69480i 0.174619 0.279547i
\(416\) 11.8411 + 10.2680i 0.580559 + 0.503430i
\(417\) −1.15065 + 3.91875i −0.0563476 + 0.191902i
\(418\) 0.00984684 + 0.0276041i 0.000481624 + 0.00135016i
\(419\) −2.31975 3.60960i −0.113327 0.176340i 0.779957 0.625833i \(-0.215241\pi\)
−0.893284 + 0.449493i \(0.851605\pi\)
\(420\) −1.41520 + 2.97319i −0.0690549 + 0.145077i
\(421\) −4.44714 + 30.9305i −0.216740 + 1.50746i 0.533219 + 0.845978i \(0.320982\pi\)
−0.749959 + 0.661484i \(0.769927\pi\)
\(422\) −2.46897 0.212243i −0.120188 0.0103318i
\(423\) 11.8067 + 7.58768i 0.574059 + 0.368925i
\(424\) −20.4786 29.9632i −0.994529 1.45514i
\(425\) −13.5178 + 16.4355i −0.655712 + 0.797241i
\(426\) 0.229463 + 4.01803i 0.0111175 + 0.194674i
\(427\) −30.9703 + 4.45285i −1.49876 + 0.215489i
\(428\) −4.32882 16.4784i −0.209242 0.796513i
\(429\) 0.123202 0.0361753i 0.00594824 0.00174656i
\(430\) 6.01610 + 11.0571i 0.290122 + 0.533222i
\(431\) −15.4275 + 17.8042i −0.743114 + 0.857600i −0.993882 0.110448i \(-0.964772\pi\)
0.250767 + 0.968047i \(0.419317\pi\)
\(432\) 4.39973 3.39064i 0.211682 0.163132i
\(433\) 13.7912 + 15.9159i 0.662765 + 0.764871i 0.983226 0.182390i \(-0.0583835\pi\)
−0.320462 + 0.947262i \(0.603838\pi\)
\(434\) 0.138287 + 0.106651i 0.00663797 + 0.00511941i
\(435\) −2.76085 4.17696i −0.132373 0.200270i
\(436\) −21.1555 19.4220i −1.01316 0.930146i
\(437\) 0.0727584 0.495582i 0.00348051 0.0237069i
\(438\) −0.542409 0.211225i −0.0259173 0.0100927i
\(439\) −3.94941 1.80364i −0.188495 0.0860828i 0.318932 0.947778i \(-0.396676\pi\)
−0.507427 + 0.861695i \(0.669403\pi\)
\(440\) −0.473864 + 1.16201i −0.0225906 + 0.0553968i
\(441\) 5.66623 + 6.53918i 0.269821 + 0.311390i
\(442\) −16.3446 + 3.31059i −0.777432 + 0.157469i
\(443\) −10.8000 9.35824i −0.513123 0.444624i 0.359409 0.933180i \(-0.382978\pi\)
−0.872532 + 0.488556i \(0.837524\pi\)
\(444\) −0.317833 + 0.259813i −0.0150837 + 0.0123302i
\(445\) −11.1067 3.10677i −0.526510 0.147275i
\(446\) 19.3382 + 26.6209i 0.915691 + 1.26054i
\(447\) 2.32098 0.333706i 0.109778 0.0157838i
\(448\) 5.72288 24.5613i 0.270381 1.16041i
\(449\) −1.71669 3.75902i −0.0810155 0.177399i 0.864789 0.502135i \(-0.167452\pi\)
−0.945805 + 0.324736i \(0.894725\pi\)
\(450\) −20.2999 + 4.65785i −0.956948 + 0.219573i
\(451\) −0.217978 + 0.339181i −0.0102642 + 0.0159714i
\(452\) −21.0595 10.3581i −0.990555 0.487203i
\(453\) −0.0224400 + 0.156074i −0.00105432 + 0.00733298i
\(454\) −3.10736 + 1.63929i −0.145835 + 0.0769358i
\(455\) 19.5285 0.250969i 0.915509 0.0117656i
\(456\) −0.0268730 + 0.0635502i −0.00125844 + 0.00297601i
\(457\) 20.4026 + 5.99074i 0.954393 + 0.280235i 0.721615 0.692295i \(-0.243400\pi\)
0.232778 + 0.972530i \(0.425218\pi\)
\(458\) −8.01372 + 7.78691i −0.374456 + 0.363858i
\(459\) 5.91027i 0.275868i
\(460\) 16.4706 13.7375i 0.767945 0.640516i
\(461\) 26.2192i 1.22115i 0.791958 + 0.610576i \(0.209062\pi\)
−0.791958 + 0.610576i \(0.790938\pi\)
\(462\) −0.143984 0.148178i −0.00669874 0.00689385i
\(463\) 29.1418 + 8.55681i 1.35434 + 0.397669i 0.876763 0.480923i \(-0.159699\pi\)
0.477573 + 0.878592i \(0.341517\pi\)
\(464\) 27.4922 + 26.7337i 1.27629 + 1.24108i
\(465\) −0.000262900 0.0204568i −1.21917e−5 0.000948661i
\(466\) −9.79440 18.5658i −0.453717 0.860042i
\(467\) −4.41249 + 30.6895i −0.204185 + 1.42014i 0.587506 + 0.809220i \(0.300110\pi\)
−0.791691 + 0.610921i \(0.790799\pi\)
\(468\) −14.6458 7.20353i −0.677002 0.332983i
\(469\) −16.2636 + 25.3067i −0.750984 + 1.16855i
\(470\) −10.6385 10.6705i −0.490717 0.492194i
\(471\) 1.31798 + 2.88597i 0.0607293 + 0.132979i
\(472\) −1.89223 + 2.31306i −0.0870971 + 0.106467i
\(473\) −0.781796 + 0.112405i −0.0359470 + 0.00516840i
\(474\) 3.23181 2.34768i 0.148442 0.107833i
\(475\) 0.385748 0.352010i 0.0176993 0.0161513i
\(476\) 16.9831 + 20.7757i 0.778419 + 0.952251i
\(477\) 28.5630 + 24.7500i 1.30781 + 1.13322i
\(478\) −1.09524 5.40727i −0.0500952 0.247323i
\(479\) −11.5397 13.3175i −0.527261 0.608491i 0.428173 0.903697i \(-0.359157\pi\)
−0.955434 + 0.295205i \(0.904612\pi\)
\(480\) −2.67190 + 1.26076i −0.121955 + 0.0575456i
\(481\) 2.21477 + 1.01145i 0.100985 + 0.0461183i
\(482\) 5.01072 12.8671i 0.228232 0.586082i
\(483\) 0.984764 + 3.39106i 0.0448083 + 0.154299i
\(484\) 16.1481 + 14.8250i 0.734005 + 0.673863i
\(485\) −16.2713 24.6172i −0.738841 1.11781i
\(486\) −5.31511 + 6.89171i −0.241098 + 0.312614i
\(487\) −7.84353 9.05191i −0.355424 0.410181i 0.549677 0.835377i \(-0.314751\pi\)
−0.905101 + 0.425196i \(0.860205\pi\)
\(488\) −24.0373 14.5022i −1.08812 0.656485i
\(489\) −2.81888 + 3.25316i −0.127474 + 0.147113i
\(490\) −4.43975 8.15992i −0.200567 0.368628i
\(491\) −6.01556 + 1.76633i −0.271479 + 0.0797133i −0.414638 0.909986i \(-0.636092\pi\)
0.143160 + 0.989700i \(0.454274\pi\)
\(492\) −0.918057 + 0.241171i −0.0413892 + 0.0108728i
\(493\) −40.3871 + 5.80679i −1.81894 + 0.261525i
\(494\) 0.408572 0.0233329i 0.0183825 0.00104980i
\(495\) 0.169345 1.29582i 0.00761147 0.0582427i
\(496\) 0.0354446 + 0.152627i 0.00159151 + 0.00685314i
\(497\) −32.3118 20.7655i −1.44938 0.931462i
\(498\) −0.0849522 + 0.988230i −0.00380680 + 0.0442836i
\(499\) 1.25209 8.70845i 0.0560510 0.389844i −0.942414 0.334450i \(-0.891450\pi\)
0.998465 0.0553937i \(-0.0176414\pi\)
\(500\) 22.3596 0.220148i 0.999952 0.00984534i
\(501\) −2.14094 3.33137i −0.0956501 0.148835i
\(502\) −18.3701 + 6.55293i −0.819899 + 0.292471i
\(503\) −4.62811 + 15.7619i −0.206357 + 0.702788i 0.789654 + 0.613553i \(0.210260\pi\)
−0.996011 + 0.0892347i \(0.971558\pi\)
\(504\) 0.744173 + 26.2520i 0.0331481 + 1.16936i
\(505\) 1.64817 + 1.02953i 0.0733424 + 0.0458134i
\(506\) 0.448375 + 1.26886i 0.0199327 + 0.0564077i
\(507\) 1.24342i 0.0552224i
\(508\) −11.2731 + 4.76209i −0.500162 + 0.211284i
\(509\) 2.90467 9.89241i 0.128747 0.438473i −0.869737 0.493516i \(-0.835711\pi\)
0.998484 + 0.0550429i \(0.0175295\pi\)
\(510\) 0.672829 3.07072i 0.0297934 0.135974i
\(511\) 4.67335 3.00338i 0.206737 0.132862i
\(512\) 17.9278 13.8055i 0.792306 0.610124i
\(513\) 0.0206409 0.143561i 0.000911318 0.00633836i
\(514\) −0.477555 + 5.55528i −0.0210640 + 0.245033i
\(515\) 17.6948 + 37.4645i 0.779725 + 1.65088i
\(516\) −1.53480 1.04980i −0.0675657 0.0462148i
\(517\) 0.860003 0.392750i 0.0378229 0.0172731i
\(518\) −0.223375 3.91142i −0.00981452 0.171858i
\(519\) −4.99052 + 0.717528i −0.219059 + 0.0314960i
\(520\) 13.7043 + 10.9201i 0.600973 + 0.478876i
\(521\) 9.90664 + 33.7389i 0.434018 + 1.47813i 0.828900 + 0.559397i \(0.188967\pi\)
−0.394883 + 0.918732i \(0.629215\pi\)
\(522\) −34.7708 19.6393i −1.52187 0.859590i
\(523\) 8.03900 9.27751i 0.351521 0.405677i −0.552260 0.833672i \(-0.686234\pi\)
0.903781 + 0.427995i \(0.140780\pi\)
\(524\) −32.3235 5.59869i −1.41206 0.244580i
\(525\) −1.44278 + 3.38699i −0.0629680 + 0.147820i
\(526\) −1.17897 + 1.52869i −0.0514057 + 0.0666540i
\(527\) −0.151654 0.0692581i −0.00660616 0.00301693i
\(528\) −0.0158094 0.184702i −0.000688018 0.00803813i
\(529\) 3.40855 22.7460i 0.148198 0.988958i
\(530\) −24.2678 32.5197i −1.05412 1.41256i
\(531\) 1.29281 2.83085i 0.0561030 0.122849i
\(532\) −0.339963 0.563953i −0.0147393 0.0244505i
\(533\) 3.68677 + 4.25476i 0.159692 + 0.184294i
\(534\) 1.66977 0.338211i 0.0722578 0.0146358i
\(535\) −5.60100 18.2064i −0.242152 0.787132i
\(536\) −25.6714 + 8.33490i −1.10884 + 0.360013i
\(537\) −0.520316 1.77203i −0.0224533 0.0764689i
\(538\) −8.28208 + 6.01635i −0.357066 + 0.259383i
\(539\) 0.576948 0.0829526i 0.0248509 0.00357302i
\(540\) 4.75731 3.99194i 0.204722 0.171786i
\(541\) 41.4918 18.9487i 1.78387 0.814667i 0.810395 0.585883i \(-0.199252\pi\)
0.973477 0.228784i \(-0.0734750\pi\)
\(542\) −15.1686 3.52849i −0.651549 0.151562i
\(543\) 0.598842 0.931816i 0.0256988 0.0399880i
\(544\) −0.00883801 + 24.0761i −0.000378927 + 1.03226i
\(545\) −24.5342 20.7131i −1.05093 0.887251i
\(546\) −2.55169 + 1.34615i −0.109202 + 0.0576098i
\(547\) −22.9032 35.6381i −0.979270 1.52377i −0.846337 0.532648i \(-0.821197\pi\)
−0.132933 0.991125i \(-0.542440\pi\)
\(548\) −1.07723 + 37.5151i −0.0460171 + 1.60257i
\(549\) 28.0505 + 8.23636i 1.19717 + 0.351519i
\(550\) −0.475363 + 1.32006i −0.0202696 + 0.0562875i
\(551\) 1.00128 0.0426561
\(552\) −1.24262 + 2.91440i −0.0528895 + 0.124045i
\(553\) 38.1223i 1.62112i
\(554\) −12.0778 + 11.7360i −0.513138 + 0.498615i
\(555\) −0.342973 + 0.304992i −0.0145584 + 0.0129462i
\(556\) 1.00380 34.9579i 0.0425708 1.48255i
\(557\) −1.02517 1.59519i −0.0434378 0.0675906i 0.818856 0.574000i \(-0.194609\pi\)
−0.862293 + 0.506409i \(0.830973\pi\)
\(558\) −0.0761360 0.144319i −0.00322309 0.00610953i
\(559\) −1.56956 + 10.9166i −0.0663855 + 0.461721i
\(560\) 5.25200 27.7024i 0.221937 1.17064i
\(561\) 0.165934 + 0.106639i 0.00700574 + 0.00450232i
\(562\) −8.72456 2.02948i −0.368023 0.0856086i
\(563\) −12.6335 27.6635i −0.532438 1.16588i −0.964512 0.264039i \(-0.914945\pi\)
0.432074 0.901838i \(-0.357782\pi\)
\(564\) 2.11678 + 0.688128i 0.0891326 + 0.0289754i
\(565\) −24.0060 10.5925i −1.00994 0.445630i
\(566\) −6.55900 9.02908i −0.275695 0.379520i
\(567\) −7.55978 25.7463i −0.317481 1.08124i
\(568\) −10.6421 32.7775i −0.446531 1.37531i
\(569\) −25.3246 21.9439i −1.06166 0.919935i −0.0647063 0.997904i \(-0.520611\pi\)
−0.996956 + 0.0779689i \(0.975157\pi\)
\(570\) −0.0270671 + 0.0722381i −0.00113372 + 0.00302572i
\(571\) 3.11471 2.69891i 0.130347 0.112946i −0.587248 0.809407i \(-0.699789\pi\)
0.717594 + 0.696461i \(0.245243\pi\)
\(572\) −0.941636 + 0.567639i −0.0393718 + 0.0237342i
\(573\) −3.84950 1.75801i −0.160815 0.0734418i
\(574\) 3.28725 8.44141i 0.137207 0.352338i
\(575\) 17.7607 16.1108i 0.740672 0.671867i
\(576\) −14.3973 + 18.6537i −0.599886 + 0.777238i
\(577\) −12.3713 5.64976i −0.515022 0.235203i 0.140910 0.990022i \(-0.454997\pi\)
−0.655932 + 0.754820i \(0.727724\pi\)
\(578\) −1.24792 0.962439i −0.0519068 0.0400322i
\(579\) −1.69177 1.95240i −0.0703074 0.0811390i
\(580\) 31.9524 + 28.5864i 1.32675 + 1.18699i
\(581\) −7.15400 6.19898i −0.296798 0.257177i
\(582\) 3.79547 + 2.14377i 0.157327 + 0.0888619i
\(583\) 2.44288 0.717294i 0.101174 0.0297073i
\(584\) 4.95169 + 0.569259i 0.204903 + 0.0235561i
\(585\) −16.6950 7.36655i −0.690252 0.304569i
\(586\) 12.9145 0.737525i 0.533492 0.0304669i
\(587\) −6.39803 + 2.92188i −0.264075 + 0.120599i −0.543053 0.839699i \(-0.682732\pi\)
0.278978 + 0.960298i \(0.410004\pi\)
\(588\) 1.13265 + 0.774729i 0.0467096 + 0.0319493i
\(589\) 0.00344180 + 0.00221191i 0.000141817 + 9.11403e-5i
\(590\) −2.00631 + 2.67174i −0.0825986 + 0.109994i
\(591\) 1.13422 + 0.163076i 0.0466555 + 0.00670805i
\(592\) 2.06699 2.84322i 0.0849529 0.116856i
\(593\) −0.110597 0.172093i −0.00454168 0.00706700i 0.838975 0.544170i \(-0.183155\pi\)
−0.843517 + 0.537103i \(0.819519\pi\)
\(594\) 0.130921 + 0.367018i 0.00537177 + 0.0150589i
\(595\) 19.9363 + 22.4190i 0.817309 + 0.919089i
\(596\) −18.4960 + 7.81326i −0.757624 + 0.320044i
\(597\) 6.37863i 0.261060i
\(598\) 18.7638 1.01562i 0.767311 0.0415317i
\(599\) 40.2891i 1.64617i −0.567920 0.823084i \(-0.692252\pi\)
0.567920 0.823084i \(-0.307748\pi\)
\(600\) −2.92614 + 1.53247i −0.119459 + 0.0625626i
\(601\) 29.0755 + 8.53735i 1.18602 + 0.348246i 0.814490 0.580177i \(-0.197017\pi\)
0.371525 + 0.928423i \(0.378835\pi\)
\(602\) 16.7147 5.96239i 0.681239 0.243009i
\(603\) 23.6453 15.1959i 0.962913 0.618826i
\(604\) −0.153712 1.34140i −0.00625444 0.0545808i
\(605\) 18.7272 + 15.8104i 0.761368 + 0.642786i
\(606\) −0.286010 0.0245865i −0.0116183 0.000998760i
\(607\) 23.9767 + 15.4089i 0.973184 + 0.625427i 0.927617 0.373534i \(-0.121854\pi\)
0.0455675 + 0.998961i \(0.485490\pi\)
\(608\) 0.0842976 0.584778i 0.00341872 0.0237159i
\(609\) −6.42086 + 2.93231i −0.260186 + 0.118823i
\(610\) −27.5249 15.0835i −1.11445 0.610712i
\(611\) −1.87879 13.0672i −0.0760075 0.528644i
\(612\) −6.37026 24.2494i −0.257502 0.980226i
\(613\) −1.25674 4.28006i −0.0507592 0.172870i 0.930212 0.367022i \(-0.119623\pi\)
−0.980971 + 0.194152i \(0.937804\pi\)
\(614\) 33.3062 + 18.8121i 1.34413 + 0.759196i
\(615\) −1.01433 + 0.312048i −0.0409018 + 0.0125830i
\(616\) 1.51483 + 0.913933i 0.0610343 + 0.0368234i
\(617\) 8.64615 + 9.97819i 0.348081 + 0.401707i 0.902611 0.430457i \(-0.141647\pi\)
−0.554530 + 0.832164i \(0.687102\pi\)
\(618\) −4.84657 3.73783i −0.194958 0.150358i
\(619\) 14.1982 + 6.48409i 0.570673 + 0.260618i 0.679784 0.733412i \(-0.262073\pi\)
−0.109112 + 0.994030i \(0.534801\pi\)
\(620\) 0.0466835 + 0.168848i 0.00187485 + 0.00678111i
\(621\) 0.967379 6.58915i 0.0388196 0.264413i
\(622\) −10.4236 + 26.7670i −0.417949 + 1.07326i
\(623\) −6.75434 + 14.7899i −0.270607 + 0.592546i
\(624\) −2.53680 0.514798i −0.101553 0.0206084i
\(625\) 24.9670 1.28451i 0.998679 0.0513804i
\(626\) 30.5878 6.19556i 1.22253 0.247624i
\(627\) −0.00365812 0.00316978i −0.000146091 0.000126589i
\(628\) −17.1941 21.0338i −0.686119 0.839339i
\(629\) 1.05374 + 3.58871i 0.0420154 + 0.143091i
\(630\) 2.05068 + 29.2907i 0.0817011 + 1.16697i
\(631\) −3.15542 21.9464i −0.125615 0.873673i −0.951019 0.309131i \(-0.899962\pi\)
0.825404 0.564542i \(-0.190947\pi\)
\(632\) −21.6577 + 26.4743i −0.861496 + 1.05309i
\(633\) 0.372287 0.170018i 0.0147971 0.00675760i
\(634\) 7.02434 30.1969i 0.278972 1.19927i
\(635\) −12.3716 + 5.84321i −0.490952 + 0.231881i
\(636\) 5.37862 + 2.64547i 0.213276 + 0.104900i
\(637\) 1.15830 8.05618i 0.0458937 0.319198i
\(638\) −2.37934 + 1.25523i −0.0941990 + 0.0496949i
\(639\) 19.4023 + 30.1906i 0.767543 + 1.19432i
\(640\) 19.3854 16.2545i 0.766274 0.642514i
\(641\) 8.51187 28.9888i 0.336199 1.14499i −0.601886 0.798582i \(-0.705584\pi\)
0.938085 0.346406i \(-0.112598\pi\)
\(642\) 1.96094 + 2.01805i 0.0773920 + 0.0796461i
\(643\) 32.8736 1.29641 0.648205 0.761466i \(-0.275520\pi\)
0.648205 + 0.761466i \(0.275520\pi\)
\(644\) −15.5333 25.9418i −0.612098 1.02225i
\(645\) −1.76324 1.10141i −0.0694274 0.0433679i
\(646\) 0.438097 + 0.450857i 0.0172367 + 0.0177387i
\(647\) 27.1322 + 7.96672i 1.06667 + 0.313204i 0.767536 0.641006i \(-0.221482\pi\)
0.299139 + 0.954210i \(0.403301\pi\)
\(648\) 9.37678 22.1745i 0.368355 0.871097i
\(649\) −0.113343 0.176365i −0.00444910 0.00692294i
\(650\) 15.8159 + 11.5619i 0.620349 + 0.453495i
\(651\) −0.0285487 0.00410468i −0.00111891 0.000160875i
\(652\) 16.2679 33.0750i 0.637101 1.29532i
\(653\) −23.0101 14.7877i −0.900455 0.578687i 0.00647029 0.999979i \(-0.497940\pi\)
−0.906925 + 0.421292i \(0.861577\pi\)
\(654\) 4.61976 + 1.07464i 0.180647 + 0.0420216i
\(655\) −36.3676 4.75272i −1.42100 0.185704i
\(656\) 7.07852 3.99468i 0.276370 0.155966i
\(657\) −5.13769 + 0.738688i −0.200440 + 0.0288190i
\(658\) −17.1864 + 12.4847i −0.669997 + 0.486706i
\(659\) 5.14073 + 17.5077i 0.200255 + 0.682005i 0.996980 + 0.0776626i \(0.0247457\pi\)
−0.796725 + 0.604342i \(0.793436\pi\)
\(660\) −0.0262395 0.205591i −0.00102137 0.00800261i
\(661\) −0.665865 + 0.768449i −0.0258991 + 0.0298892i −0.768551 0.639788i \(-0.779022\pi\)
0.742652 + 0.669677i \(0.233568\pi\)
\(662\) −41.0681 + 8.31833i −1.59616 + 0.323301i
\(663\) 2.08151 1.80364i 0.0808393 0.0700476i
\(664\) −1.44645 8.36919i −0.0561331 0.324788i
\(665\) −0.405957 0.614183i −0.0157424 0.0238170i
\(666\) −1.32834 + 3.41108i −0.0514722 + 0.132176i
\(667\) 45.9766 + 0.136686i 1.78022 + 0.00529249i
\(668\) 24.9787 + 22.9320i 0.966456 + 0.887267i
\(669\) −4.94315 2.25746i −0.191113 0.0872786i
\(670\) −28.2896 + 10.5031i −1.09292 + 0.405769i
\(671\) 1.48837 1.28968i 0.0574579 0.0497875i
\(672\) 1.17198 + 3.99684i 0.0452102 + 0.154181i
\(673\) −6.90212 5.98072i −0.266057 0.230540i 0.511607 0.859219i \(-0.329050\pi\)
−0.777665 + 0.628679i \(0.783596\pi\)
\(674\) −2.45537 + 4.34715i −0.0945772 + 0.167446i
\(675\) 5.12882 4.68025i 0.197408 0.180143i
\(676\) −2.70521 10.2978i −0.104047 0.396071i
\(677\) −42.5147 + 6.11269i −1.63397 + 0.234930i −0.897332 0.441356i \(-0.854498\pi\)
−0.736639 + 0.676286i \(0.763588\pi\)
\(678\) 3.86975 0.220995i 0.148617 0.00848728i
\(679\) −37.8418 + 17.2818i −1.45223 + 0.663213i
\(680\) 1.10845 + 26.8951i 0.0425070 + 1.03138i
\(681\) 0.313700 0.488127i 0.0120210 0.0187051i
\(682\) −0.0109516 0.000941446i −0.000419359 3.60498e-5i
\(683\) 24.8450 + 3.57217i 0.950667 + 0.136685i 0.600165 0.799876i \(-0.295102\pi\)
0.350503 + 0.936562i \(0.386011\pi\)
\(684\) 0.0700454 + 0.611267i 0.00267825 + 0.0233724i
\(685\) 0.539209 + 41.9570i 0.0206021 + 1.60309i
\(686\) 17.0580 6.08487i 0.651277 0.232321i
\(687\) 0.519922 1.77069i 0.0198362 0.0675560i
\(688\) 14.9949 + 5.35515i 0.571677 + 0.204163i
\(689\) 35.5511i 1.35439i
\(690\) −1.25272 + 3.31331i −0.0476903 + 0.126136i
\(691\) −28.4503 −1.08230 −0.541149 0.840926i \(-0.682011\pi\)
−0.541149 + 0.840926i \(0.682011\pi\)
\(692\) 39.7696 16.7999i 1.51182 0.638637i
\(693\) −1.76774 0.519056i −0.0671510 0.0197173i
\(694\) −22.5981 + 8.06113i −0.857814 + 0.305996i
\(695\) −0.502454 39.0970i −0.0190592 1.48303i
\(696\) −6.12489 1.61139i −0.232163 0.0610797i
\(697\) −1.23078 + 8.56027i −0.0466191 + 0.324243i
\(698\) 0.503219 5.85383i 0.0190471 0.221571i
\(699\) 2.91645 + 1.87429i 0.110310 + 0.0708921i
\(700\) 4.58008 31.1895i 0.173111 1.17885i
\(701\) −16.5195 36.1726i −0.623931 1.36622i −0.912625 0.408797i \(-0.865948\pi\)
0.288694 0.957421i \(-0.406779\pi\)
\(702\) 5.43228 0.310229i 0.205028 0.0117088i
\(703\) −0.0130622 0.0908499i −0.000492652 0.00342647i
\(704\) 0.532773 + 1.49528i 0.0200796 + 0.0563555i
\(705\) 2.39655 + 0.670363i 0.0902594 + 0.0252473i
\(706\) −12.2218 6.90316i −0.459974 0.259804i
\(707\) 1.79408 2.07048i 0.0674734 0.0778685i
\(708\) 0.0842348 0.486321i 0.00316574 0.0182771i
\(709\) 13.3234 + 15.3760i 0.500370 + 0.577458i 0.948607 0.316457i \(-0.102493\pi\)
−0.448237 + 0.893915i \(0.647948\pi\)
\(710\) −13.4104 36.1204i −0.503284 1.35557i
\(711\) 14.7969 32.4007i 0.554927 1.21512i
\(712\) −13.0929 + 6.43378i −0.490678 + 0.241116i
\(713\) 0.157738 + 0.102036i 0.00590732 + 0.00382127i
\(714\) −4.12971 1.60819i −0.154550 0.0601850i
\(715\) −1.02551 + 0.677830i −0.0383517 + 0.0253494i
\(716\) 8.16444 + 13.5437i 0.305120 + 0.506152i
\(717\) 0.596698 + 0.688626i 0.0222841 + 0.0257172i
\(718\) −5.41219 + 1.09624i −0.201981 + 0.0409112i
\(719\) −23.6391 20.4834i −0.881591 0.763903i 0.0911406 0.995838i \(-0.470949\pi\)
−0.972731 + 0.231935i \(0.925494\pi\)
\(720\) −15.2163 + 21.5062i −0.567077 + 0.801489i
\(721\) 56.0459 16.4566i 2.08726 0.612874i
\(722\) 15.7832 + 21.7270i 0.587388 + 0.808596i
\(723\) 0.324555 + 2.25733i 0.0120703 + 0.0839510i
\(724\) −2.93224 + 9.02001i −0.108976 + 0.335226i
\(725\) 37.0209 + 30.4488i 1.37492 + 1.13084i
\(726\) −3.52630 0.820278i −0.130873 0.0304434i
\(727\) 14.6340 22.7710i 0.542746 0.844529i −0.456226 0.889864i \(-0.650799\pi\)
0.998972 + 0.0453352i \(0.0144356\pi\)
\(728\) 18.2040 16.7001i 0.674685 0.618947i
\(729\) −3.42959 + 23.8533i −0.127022 + 0.883455i
\(730\) 5.55782 + 0.405898i 0.205704 + 0.0150230i
\(731\) −14.2524 + 9.15949i −0.527146 + 0.338776i
\(732\) 4.63458 + 0.133080i 0.171299 + 0.00491879i
\(733\) −10.7179 + 36.5017i −0.395874 + 1.34822i 0.484852 + 0.874596i \(0.338873\pi\)
−0.880726 + 0.473626i \(0.842945\pi\)
\(734\) −9.77686 10.0616i −0.360871 0.371382i
\(735\) 1.30123 + 0.812814i 0.0479966 + 0.0299811i
\(736\) 3.95057 26.8401i 0.145620 0.989341i
\(737\) 1.89345i 0.0697460i
\(738\) −6.07037 + 5.89856i −0.223453 + 0.217129i
\(739\) −25.2283 7.40769i −0.928037 0.272496i −0.217422 0.976078i \(-0.569765\pi\)
−0.710615 + 0.703582i \(0.751583\pi\)
\(740\) 2.17691 3.27208i 0.0800248 0.120284i
\(741\) −0.0568590 + 0.0365411i −0.00208877 + 0.00134237i
\(742\) −50.5956 + 26.6918i −1.85742 + 0.979887i
\(743\) −0.350514 0.0503964i −0.0128591 0.00184886i 0.135882 0.990725i \(-0.456613\pi\)
−0.148741 + 0.988876i \(0.547522\pi\)
\(744\) −0.0174940 0.0190694i −0.000641360 0.000699117i
\(745\) −20.2983 + 9.58708i −0.743674 + 0.351243i
\(746\) 1.75288 + 0.407750i 0.0641775 + 0.0149288i
\(747\) 3.67420 + 8.04538i 0.134432 + 0.294365i
\(748\) −1.60625 0.522162i −0.0587302 0.0190921i
\(749\) −26.5811 + 3.82179i −0.971253 + 0.139645i
\(750\) −3.19751 + 1.84779i −0.116757 + 0.0674716i
\(751\) 26.7818 7.86383i 0.977280 0.286955i 0.246179 0.969224i \(-0.420825\pi\)
0.731101 + 0.682269i \(0.239007\pi\)
\(752\) −19.0280 1.09367i −0.693879 0.0398819i
\(753\) 2.10944 2.43442i 0.0768723 0.0887153i
\(754\) 7.45708 + 36.8160i 0.271571 + 1.34076i
\(755\) −0.234014 1.49130i −0.00851663 0.0542738i
\(756\) −4.52007 7.49819i −0.164393 0.272707i
\(757\) −32.6829 14.9258i −1.18788 0.542487i −0.279302 0.960203i \(-0.590103\pi\)
−0.908577 + 0.417717i \(0.862830\pi\)
\(758\) 9.25752 23.7726i 0.336248 0.863459i
\(759\) −0.167539 0.146048i −0.00608129 0.00530121i
\(760\) 0.0670036 0.657153i 0.00243048 0.0238375i
\(761\) −7.87078 + 17.2346i −0.285315 + 0.624754i −0.996971 0.0777749i \(-0.975218\pi\)
0.711655 + 0.702529i \(0.247946\pi\)
\(762\) 1.23432 1.60045i 0.0447146 0.0579781i
\(763\) −34.2101 + 29.6433i −1.23849 + 1.07316i
\(764\) 35.7057 + 6.18452i 1.29179 + 0.223748i
\(765\) −8.24238 26.7924i −0.298004 0.968681i
\(766\) −0.932241 0.526551i −0.0336833 0.0190251i
\(767\) −2.80880 + 0.824737i −0.101420 + 0.0297795i
\(768\) −1.45675 + 3.44145i −0.0525660 + 0.124183i
\(769\) 38.2142 5.49437i 1.37804 0.198132i 0.586845 0.809699i \(-0.300370\pi\)
0.791193 + 0.611567i \(0.209461\pi\)
\(770\) 1.73462 + 0.950562i 0.0625115 + 0.0342559i
\(771\) −0.382546 0.837659i −0.0137771 0.0301676i
\(772\) 18.2586 + 12.4889i 0.657143 + 0.449484i
\(773\) −19.7335 + 30.7059i −0.709765 + 1.10442i 0.279762 + 0.960069i \(0.409744\pi\)
−0.989527 + 0.144347i \(0.953892\pi\)
\(774\) −16.5203 1.42015i −0.593810 0.0510463i
\(775\) 0.0599915 + 0.186447i 0.00215496 + 0.00669736i
\(776\) −36.0975 9.49687i −1.29582 0.340918i
\(777\) 0.349822 + 0.544333i 0.0125498 + 0.0195278i
\(778\) 10.1614 + 28.4858i 0.364303 + 1.02127i
\(779\) 0.0597914 0.203631i 0.00214225 0.00729583i
\(780\) −2.85769 0.457232i −0.102322 0.0163715i
\(781\) 2.41757 0.0865074
\(782\) 20.0548 + 20.7621i 0.717159 + 0.742451i
\(783\) 13.3128 0.475762
\(784\) −11.0659 3.95198i −0.395212 0.141142i
\(785\) −20.1840 22.6975i −0.720397 0.810109i
\(786\) 5.10299 1.82032i 0.182017 0.0649286i
\(787\) −0.897792 + 0.576976i −0.0320028 + 0.0205670i −0.556544 0.830818i \(-0.687873\pi\)
0.524542 + 0.851385i \(0.324237\pi\)
\(788\) −9.74821 + 1.11705i −0.347266 + 0.0397934i
\(789\) 0.0453752 0.315592i 0.00161540 0.0112354i
\(790\) −22.9634 + 30.5796i −0.817001 + 1.08797i
\(791\) −19.9992 + 31.1194i −0.711091 + 1.10648i
\(792\) −0.932743 1.36474i −0.0331436 0.0484938i
\(793\) −11.4237 25.0145i −0.405668 0.888290i
\(794\) 0.606175 + 10.6145i 0.0215123 + 0.376693i
\(795\) 6.13116 + 2.70534i 0.217450 + 0.0959484i
\(796\) −13.8775 52.8268i −0.491873 1.87240i
\(797\) −0.914012 3.11284i −0.0323760 0.110262i 0.941720 0.336398i \(-0.109209\pi\)
−0.974096 + 0.226136i \(0.927391\pi\)
\(798\) 0.0946943 + 0.0534855i 0.00335214 + 0.00189337i
\(799\) 13.2803 15.3263i 0.469825 0.542207i
\(800\) 20.8998 19.0578i 0.738918 0.673795i
\(801\) 11.4812 9.94855i 0.405670 0.351515i
\(802\) 9.40873 12.1996i 0.332234 0.430783i
\(803\) −0.145254 + 0.318062i −0.00512590 + 0.0112241i
\(804\) 3.01466 3.28372i 0.106319 0.115808i
\(805\) −18.5568 28.2572i −0.654040 0.995937i
\(806\) −0.0556966 + 0.143024i −0.00196183 + 0.00503782i
\(807\) 0.702324 1.53787i 0.0247230 0.0541358i
\(808\) 2.42218 0.418625i 0.0852120 0.0147272i
\(809\) −9.73329 11.2328i −0.342204 0.394925i 0.558395 0.829575i \(-0.311417\pi\)
−0.900599 + 0.434650i \(0.856872\pi\)
\(810\) 9.44451 25.2060i 0.331846 0.885648i
\(811\) −4.40165 + 5.07977i −0.154563 + 0.178375i −0.827750 0.561097i \(-0.810379\pi\)
0.673187 + 0.739472i \(0.264925\pi\)
\(812\) 46.7970 38.2543i 1.64225 1.34246i
\(813\) 2.46791 0.724642i 0.0865532 0.0254143i
\(814\) 0.144931 + 0.199511i 0.00507982 + 0.00699285i
\(815\) 16.6361 37.7027i 0.582736 1.32067i
\(816\) −1.95428 3.46295i −0.0684134 0.121228i
\(817\) 0.378181 0.172709i 0.0132309 0.00604233i
\(818\) −9.47468 + 40.7307i −0.331274 + 1.42412i
\(819\) −13.9085 + 21.6420i −0.486001 + 0.756232i
\(820\) 7.72164 4.79113i 0.269651 0.167313i
\(821\) 23.2090 + 3.33695i 0.809999 + 0.116460i 0.534856 0.844943i \(-0.320366\pi\)
0.275143 + 0.961403i \(0.411275\pi\)
\(822\) −2.89220 5.48231i −0.100877 0.191218i
\(823\) 37.3901 24.0292i 1.30334 0.837604i 0.309766 0.950813i \(-0.399749\pi\)
0.993571 + 0.113209i \(0.0361129\pi\)
\(824\) 48.2707 + 20.4119i 1.68159 + 0.711082i
\(825\) −0.0388609 0.228440i −0.00135296 0.00795326i
\(826\) 3.28260 + 3.37821i 0.114216 + 0.117543i
\(827\) −15.7947 −0.549234 −0.274617 0.961554i \(-0.588551\pi\)
−0.274617 + 0.961554i \(0.588551\pi\)
\(828\) 3.13287 + 28.0775i 0.108875 + 0.975760i
\(829\) 41.7403i 1.44970i 0.688907 + 0.724850i \(0.258091\pi\)
−0.688907 + 0.724850i \(0.741909\pi\)
\(830\) −2.00453 9.28178i −0.0695781 0.322175i
\(831\) 0.783598 2.66869i 0.0271827 0.0925758i
\(832\) 22.1294 1.25563i 0.767200 0.0435310i
\(833\) 10.5180 6.75950i 0.364427 0.234203i
\(834\) 2.69506 + 5.10861i 0.0933222 + 0.176897i
\(835\) 28.9681 + 24.4564i 1.00248 + 0.846349i
\(836\) 0.0371922 + 0.0182930i 0.00128632 + 0.000632675i
\(837\) 0.0457615 + 0.0294091i 0.00158175 + 0.00101653i
\(838\) −5.91022 1.37482i −0.204165 0.0474924i
\(839\) 8.73465 + 19.1262i 0.301554 + 0.660310i 0.998378 0.0569314i \(-0.0181316\pi\)
−0.696824 + 0.717242i \(0.745404\pi\)
\(840\) 1.49484 + 4.41030i 0.0515767 + 0.152170i
\(841\) 8.95261 + 62.2668i 0.308711 + 2.14713i
\(842\) 25.9729 + 35.7541i 0.895085 + 1.23217i
\(843\) 1.41947 0.416793i 0.0488890 0.0143551i
\(844\) −2.71333 + 2.21802i −0.0933967 + 0.0763472i
\(845\) −3.50024 11.3777i −0.120412 0.391406i
\(846\) 19.4529 3.94018i 0.668804 0.135466i
\(847\) 26.1129 22.6269i 0.897248 0.777470i
\(848\) −50.3004 10.2076i −1.72732 0.350529i
\(849\) 1.67658 + 0.765670i 0.0575402 + 0.0262777i
\(850\) 2.48747 + 29.9922i 0.0853196 + 1.02872i
\(851\) −0.587385 4.17340i −0.0201353 0.143062i
\(852\) 4.19268 + 3.84914i 0.143639 + 0.131869i
\(853\) 2.20134 4.82027i 0.0753726 0.165043i −0.868195 0.496224i \(-0.834720\pi\)
0.943567 + 0.331181i \(0.107447\pi\)
\(854\) −27.0231 + 35.0389i −0.924712 + 1.19901i
\(855\) 0.106638 + 0.679573i 0.00364696 + 0.0232409i
\(856\) −20.6307 12.4470i −0.705142 0.425428i
\(857\) 23.6195 + 20.4664i 0.806827 + 0.699120i 0.957174 0.289514i \(-0.0934936\pi\)
−0.150347 + 0.988633i \(0.548039\pi\)
\(858\) 0.0893050 0.158112i 0.00304882 0.00539784i
\(859\) −3.39575 + 0.997083i −0.115862 + 0.0340200i −0.339149 0.940733i \(-0.610139\pi\)
0.223288 + 0.974753i \(0.428321\pi\)
\(860\) 16.9991 + 5.28556i 0.579665 + 0.180236i
\(861\) 0.212923 + 1.48091i 0.00725638 + 0.0504693i
\(862\) 1.89956 + 33.2624i 0.0646993 + 1.13292i
\(863\) −3.21645 7.04304i −0.109489 0.239748i 0.846954 0.531666i \(-0.178434\pi\)
−0.956443 + 0.291918i \(0.905707\pi\)
\(864\) 1.12080 7.77508i 0.0381304 0.264514i
\(865\) 43.6451 20.6139i 1.48398 0.700895i
\(866\) 29.6736 + 2.55086i 1.00835 + 0.0866819i
\(867\) 0.257629 + 0.0370414i 0.00874954 + 0.00125799i
\(868\) 0.245366 0.0281167i 0.00832828 0.000954342i
\(869\) −1.29727 2.01860i −0.0440070 0.0684763i
\(870\) −6.91677 1.51554i −0.234501 0.0513816i
\(871\) −25.3681 7.44874i −0.859564 0.252391i
\(872\) −40.5982 + 1.15085i −1.37483 + 0.0389726i
\(873\) 38.8701 1.31555
\(874\) −0.414623 0.574351i −0.0140248 0.0194277i
\(875\) 3.66754 35.0535i 0.123985 1.18503i
\(876\) −0.758310 + 0.320333i −0.0256209 + 0.0108231i
\(877\) −9.15971 2.68953i −0.309301 0.0908191i 0.123398 0.992357i \(-0.460621\pi\)
−0.432700 + 0.901538i \(0.642439\pi\)
\(878\) −5.78325 + 2.06298i −0.195175 + 0.0696223i
\(879\) −1.79724 + 1.15502i −0.0606195 + 0.0389578i
\(880\) 0.664599 + 1.64558i 0.0224036 + 0.0554726i
\(881\) 6.15067 + 0.884333i 0.207221 + 0.0297939i 0.245144 0.969487i \(-0.421165\pi\)
−0.0379223 + 0.999281i \(0.512074\pi\)
\(882\) 12.1916 + 1.04804i 0.410514 + 0.0352894i
\(883\) −4.05946 + 6.31665i −0.136612 + 0.212572i −0.902818 0.430022i \(-0.858506\pi\)
0.766206 + 0.642595i \(0.222142\pi\)
\(884\) −13.3148 + 19.4661i −0.447824 + 0.654715i
\(885\) 0.0715067 0.547167i 0.00240367 0.0183928i
\(886\) −20.1768 + 1.15227i −0.677854 + 0.0387112i
\(887\) −0.138668 0.964455i −0.00465601 0.0323832i 0.987361 0.158487i \(-0.0506617\pi\)
−0.992017 + 0.126104i \(0.959753\pi\)
\(888\) −0.0663051 + 0.576754i −0.00222505 + 0.0193546i
\(889\) 5.43433 + 18.5076i 0.182261 + 0.620726i
\(890\) −14.3269 + 7.79513i −0.480237 + 0.261293i
\(891\) 1.27642 + 1.10603i 0.0427618 + 0.0370533i
\(892\) 45.8499 + 7.94156i 1.53517 + 0.265903i
\(893\) −0.376105 + 0.325897i −0.0125859 + 0.0109057i
\(894\) 2.02517 2.62589i 0.0677318 0.0878228i
\(895\) 9.74934 + 14.7500i 0.325885 + 0.493039i
\(896\) −18.4018 30.5514i −0.614760 1.02065i
\(897\) −2.61582 + 1.67012i −0.0873397 + 0.0557636i
\(898\) −5.44583 2.12071i −0.181730 0.0707692i
\(899\) −0.156003 + 0.341599i −0.00520300 + 0.0113930i
\(900\) −15.9987 + 24.7307i −0.533289 + 0.824357i
\(901\) 41.2728 35.7631i 1.37500 1.19144i
\(902\) 0.113193 + 0.558841i 0.00376892 + 0.0186074i
\(903\) −1.91934 + 2.21504i −0.0638717 + 0.0737119i
\(904\) −31.5679 + 10.2494i −1.04993 + 0.340888i
\(905\) −2.85654 + 10.2122i −0.0949547 + 0.339464i
\(906\) 0.131058 + 0.180413i 0.00435410 + 0.00599383i
\(907\) −1.28928 8.96712i −0.0428098 0.297748i −0.999967 0.00817827i \(-0.997397\pi\)
0.957157 0.289570i \(-0.0935123\pi\)
\(908\) −1.53604 + 4.72509i −0.0509753 + 0.156808i
\(909\) −2.32846 + 1.06337i −0.0772303 + 0.0352699i
\(910\) 19.5594 19.5007i 0.648388 0.646442i
\(911\) −31.6128 20.3163i −1.04738 0.673109i −0.100577 0.994929i \(-0.532069\pi\)
−0.946801 + 0.321820i \(0.895705\pi\)
\(912\) 0.0353755 + 0.0909403i 0.00117140 + 0.00301133i
\(913\) 0.589756 + 0.0847941i 0.0195181 + 0.00280627i
\(914\) 26.5975 14.0315i 0.879766 0.464122i
\(915\) 5.18332 0.0666133i 0.171355 0.00220217i
\(916\) −0.453569 + 15.7957i −0.0149864 + 0.521906i
\(917\) −14.5675 + 49.6124i −0.481061 + 1.63834i
\(918\) 5.82484 + 5.99450i 0.192248 + 0.197848i
\(919\) 42.9290 1.41610 0.708049 0.706163i \(-0.249575\pi\)
0.708049 + 0.706163i \(0.249575\pi\)
\(920\) 3.16635 30.1658i 0.104392 0.994536i
\(921\) −6.31755 −0.208170
\(922\) 25.8402 + 26.5928i 0.851002 + 0.875789i
\(923\) 9.51061 32.3902i 0.313046 1.06614i
\(924\) −0.292071 0.00838673i −0.00960845 0.000275903i
\(925\) 2.27977 3.75625i 0.0749584 0.123505i
\(926\) 37.9902 20.0418i 1.24844 0.658615i
\(927\) −54.0218 7.76716i −1.77431 0.255107i
\(928\) 54.2312 + 0.0199075i 1.78023 + 0.000653497i
\(929\) 22.8557 + 14.6884i 0.749870 + 0.481912i 0.858911 0.512125i \(-0.171142\pi\)
−0.109041 + 0.994037i \(0.534778\pi\)
\(930\) −0.0204277 0.0204892i −0.000669851 0.000671868i
\(931\) −0.279089 + 0.127456i −0.00914677 + 0.00417719i
\(932\) −28.2313 9.17750i −0.924748 0.300619i
\(933\) −0.675160 4.69584i −0.0221037 0.153735i
\(934\) 25.7705 + 35.4755i 0.843237 + 1.16079i
\(935\) −1.81854 0.508682i −0.0594727 0.0166357i
\(936\) −21.9539 + 7.12791i −0.717586 + 0.232983i
\(937\) 13.8983 16.0395i 0.454039 0.523989i −0.481864 0.876246i \(-0.660040\pi\)
0.935903 + 0.352257i \(0.114586\pi\)
\(938\) 8.44548 + 41.6958i 0.275755 + 1.36142i
\(939\) −3.89542 + 3.37540i −0.127122 + 0.110152i
\(940\) −21.3064 0.337862i −0.694937 0.0110199i
\(941\) −8.91982 + 19.5317i −0.290778 + 0.636714i −0.997492 0.0707851i \(-0.977450\pi\)
0.706714 + 0.707499i \(0.250177\pi\)
\(942\) 4.18101 + 1.62817i 0.136225 + 0.0530487i
\(943\) 2.77328 9.34208i 0.0903103 0.304220i
\(944\) 0.360429 + 4.21090i 0.0117310 + 0.137053i
\(945\) −5.39752 8.16604i −0.175581 0.265641i
\(946\) −0.682156 + 0.884501i −0.0221788 + 0.0287576i
\(947\) 41.6607 36.0992i 1.35379 1.17307i 0.385655 0.922643i \(-0.373976\pi\)
0.968136 0.250424i \(-0.0805699\pi\)
\(948\) 0.964114 5.56622i 0.0313130 0.180782i
\(949\) 3.68991 + 3.19733i 0.119780 + 0.103790i
\(950\) 0.0443233 0.737198i 0.00143804 0.0239178i
\(951\) 1.44258 + 4.91298i 0.0467789 + 0.159314i
\(952\) 37.7004 + 4.33414i 1.22188 + 0.140470i
\(953\) 5.94997 + 41.3830i 0.192739 + 1.34053i 0.824719 + 0.565542i \(0.191333\pi\)
−0.631981 + 0.774984i \(0.717758\pi\)
\(954\) 53.3622 3.04743i 1.72767 0.0986643i
\(955\) 40.1730 + 5.25002i 1.29997 + 0.169887i
\(956\) −6.43995 4.40491i −0.208283 0.142465i
\(957\) 0.240204 0.373765i 0.00776470 0.0120821i
\(958\) −24.8291 2.13441i −0.802191 0.0689596i
\(959\) 58.5535 + 8.41873i 1.89079 + 0.271855i
\(960\) −1.46744 + 3.91200i −0.0473614 + 0.126259i
\(961\) 26.0776 16.7590i 0.841212 0.540614i
\(962\) 3.24316 1.15689i 0.104564 0.0372996i
\(963\) 24.0751 + 7.06909i 0.775810 + 0.227798i
\(964\) −7.59901 17.9888i −0.244748 0.579379i
\(965\) 20.9762 + 13.1028i 0.675249 + 0.421795i
\(966\) 4.34084 + 2.46885i 0.139664 + 0.0794341i
\(967\) 22.9932 0.739411 0.369705 0.929149i \(-0.379459\pi\)
0.369705 + 0.929149i \(0.379459\pi\)
\(968\) 30.9889 0.878451i 0.996021 0.0282345i
\(969\) −0.0996202 0.0292511i −0.00320026 0.000939682i
\(970\) −40.7645 8.93195i −1.30887 0.286788i
\(971\) −26.9748 41.9736i −0.865662 1.34700i −0.936922 0.349539i \(-0.886338\pi\)
0.0712592 0.997458i \(-0.477298\pi\)
\(972\) 1.40123 + 12.2282i 0.0449446 + 0.392219i
\(973\) −54.5623 7.84487i −1.74919 0.251495i
\(974\) −16.8764 1.45076i −0.540753 0.0464853i
\(975\) −3.21348 0.378022i −0.102914 0.0121064i
\(976\) −38.6724 + 8.98091i −1.23787 + 0.287472i
\(977\) −4.54807 9.95888i −0.145506 0.318613i 0.822821 0.568301i \(-0.192399\pi\)
−0.968326 + 0.249688i \(0.919672\pi\)
\(978\) 0.347085 + 6.07765i 0.0110986 + 0.194342i
\(979\) −0.145645 1.01298i −0.00465483 0.0323751i
\(980\) −12.5450 3.90063i −0.400734 0.124601i
\(981\) 40.5816 11.9158i 1.29567 0.380443i
\(982\) −4.36049 + 7.72010i −0.139149 + 0.246358i
\(983\) −5.89736 5.11009i −0.188097 0.162987i 0.555722 0.831368i \(-0.312442\pi\)
−0.743819 + 0.668382i \(0.766987\pi\)
\(984\) −0.693455 + 1.14939i −0.0221065 + 0.0366413i
\(985\) −10.8375 + 1.70062i −0.345313 + 0.0541864i
\(986\) −35.2398 + 45.6928i −1.12226 + 1.45516i
\(987\) 1.45742 3.19130i 0.0463901 0.101580i
\(988\) 0.391398 0.426331i 0.0124520 0.0135634i
\(989\) 17.3887 7.87878i 0.552930 0.250530i
\(990\) −1.10533 1.48118i −0.0351297 0.0470750i
\(991\) 29.5844 + 13.5107i 0.939779 + 0.429183i 0.825586 0.564276i \(-0.190845\pi\)
0.114193 + 0.993459i \(0.463572\pi\)
\(992\) 0.186370 + 0.119869i 0.00591726 + 0.00380586i
\(993\) 5.23010 4.53191i 0.165972 0.143816i
\(994\) −53.2376 + 10.7833i −1.68859 + 0.342024i
\(995\) −17.9558 58.3666i −0.569238 1.85035i
\(996\) 0.887781 + 1.08604i 0.0281304 + 0.0344124i
\(997\) −27.9953 + 8.22016i −0.886620 + 0.260335i −0.693169 0.720775i \(-0.743786\pi\)
−0.193451 + 0.981110i \(0.561968\pi\)
\(998\) −7.31263 10.0665i −0.231477 0.318650i
\(999\) −0.173673 1.20792i −0.00549476 0.0382169i
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 920.2.bn.b.339.103 yes 1360
5.4 even 2 inner 920.2.bn.b.339.34 yes 1360
8.3 odd 2 inner 920.2.bn.b.339.67 yes 1360
23.19 odd 22 inner 920.2.bn.b.19.70 yes 1360
40.19 odd 2 inner 920.2.bn.b.339.70 yes 1360
115.19 odd 22 inner 920.2.bn.b.19.67 yes 1360
184.19 even 22 inner 920.2.bn.b.19.34 1360
920.19 even 22 inner 920.2.bn.b.19.103 yes 1360
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
920.2.bn.b.19.34 1360 184.19 even 22 inner
920.2.bn.b.19.67 yes 1360 115.19 odd 22 inner
920.2.bn.b.19.70 yes 1360 23.19 odd 22 inner
920.2.bn.b.19.103 yes 1360 920.19 even 22 inner
920.2.bn.b.339.34 yes 1360 5.4 even 2 inner
920.2.bn.b.339.67 yes 1360 8.3 odd 2 inner
920.2.bn.b.339.70 yes 1360 40.19 odd 2 inner
920.2.bn.b.339.103 yes 1360 1.1 even 1 trivial