Properties

Label 197.3.i.a.2.17
Level $197$
Weight $3$
Character 197.2
Analytic conductor $5.368$
Analytic rank $0$
Dimension $2688$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [197,3,Mod(2,197)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(197, base_ring=CyclotomicField(196))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("197.2");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 197 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 197.i (of order \(196\), degree \(84\), 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: \(5.36786120790\)
Analytic rank: \(0\)
Dimension: \(2688\)
Relative dimension: \(32\) over \(\Q(\zeta_{196})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{196}]$

Embedding invariants

Embedding label 2.17
Character \(\chi\) \(=\) 197.2
Dual form 197.3.i.a.99.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0441796 + 0.000708195i) q^{2} +(-4.54280 + 1.11376i) q^{3} +(-3.99599 - 0.128144i) q^{4} +(-0.843380 - 5.80577i) q^{5} +(-0.201488 + 0.0459883i) q^{6} +(-5.49223 + 5.67118i) q^{7} +(-0.352988 - 0.0169867i) q^{8} +(11.4172 - 5.95634i) q^{9} +O(q^{10})\) \(q+(0.0441796 + 0.000708195i) q^{2} +(-4.54280 + 1.11376i) q^{3} +(-3.99599 - 0.128144i) q^{4} +(-0.843380 - 5.80577i) q^{5} +(-0.201488 + 0.0459883i) q^{6} +(-5.49223 + 5.67118i) q^{7} +(-0.352988 - 0.0169867i) q^{8} +(11.4172 - 5.95634i) q^{9} +(-0.0331486 - 0.257094i) q^{10} +(14.6796 + 7.36145i) q^{11} +(18.2957 - 3.86845i) q^{12} +(-15.1654 - 6.42460i) q^{13} +(-0.246661 + 0.246661i) q^{14} +(10.2975 + 25.4351i) q^{15} +(15.9438 + 1.02362i) q^{16} +(19.5848 - 13.2000i) q^{17} +(0.508626 - 0.255063i) q^{18} +(-1.86349 + 1.48609i) q^{19} +(2.62617 + 23.3079i) q^{20} +(18.6338 - 31.8801i) q^{21} +(0.643325 + 0.335622i) q^{22} +(-10.7196 + 29.1285i) q^{23} +(1.62247 - 0.315976i) q^{24} +(-9.02897 + 2.67975i) q^{25} +(-0.665454 - 0.294577i) q^{26} +(-13.6197 + 11.9764i) q^{27} +(22.6736 - 21.9582i) q^{28} +(30.1481 + 19.6242i) q^{29} +(0.436929 + 1.13101i) q^{30} +(-5.63163 + 6.83419i) q^{31} +(2.11271 + 0.169682i) q^{32} +(-74.8853 - 17.0921i) q^{33} +(0.874597 - 0.569299i) q^{34} +(37.5576 + 27.1036i) q^{35} +(-46.3863 + 22.3385i) q^{36} +(5.67117 - 0.364101i) q^{37} +(-0.0833809 + 0.0643350i) q^{38} +(76.0490 + 12.2950i) q^{39} +(0.199082 + 2.06369i) q^{40} +(4.51023 - 23.1591i) q^{41} +(0.845810 - 1.39525i) q^{42} +(-16.9182 - 50.9550i) q^{43} +(-57.7161 - 31.2974i) q^{44} +(-44.2102 - 61.2621i) q^{45} +(-0.494215 + 1.27930i) q^{46} +(-42.1937 - 74.9193i) q^{47} +(-73.5694 + 13.1074i) q^{48} +(-0.427144 - 13.3199i) q^{49} +(-0.400794 + 0.111996i) q^{50} +(-74.2682 + 81.7776i) q^{51} +(59.7777 + 27.6160i) q^{52} +(4.51228 + 10.1933i) q^{53} +(-0.610196 + 0.519467i) q^{54} +(30.3584 - 91.4347i) q^{55} +(2.03502 - 1.90856i) q^{56} +(6.81034 - 8.82648i) q^{57} +(1.31803 + 0.888342i) q^{58} +(54.6341 + 7.04428i) q^{59} +(-37.8896 - 102.958i) q^{60} +(43.8962 + 72.4114i) q^{61} +(-0.253643 + 0.297944i) q^{62} +(-28.9264 + 97.4625i) q^{63} +(-63.5178 - 6.12748i) q^{64} +(-24.5095 + 93.4654i) q^{65} +(-3.29630 - 0.808155i) q^{66} +(105.995 + 29.6189i) q^{67} +(-79.9522 + 50.2373i) q^{68} +(16.2547 - 144.264i) q^{69} +(1.64008 + 1.22403i) q^{70} +(102.951 + 32.3595i) q^{71} +(-4.13131 + 1.90857i) q^{72} +(37.0125 + 32.5466i) q^{73} +(0.250808 - 0.0120696i) q^{74} +(38.0322 - 22.2297i) q^{75} +(7.63694 - 5.69960i) q^{76} +(-122.372 + 42.8197i) q^{77} +(3.35111 + 0.597047i) q^{78} +(-17.9192 + 123.355i) q^{79} +(-7.50372 - 93.4290i) q^{80} +(-17.7741 + 25.4805i) q^{81} +(0.215661 - 1.01997i) q^{82} +(51.1704 + 40.8070i) q^{83} +(-78.5456 + 125.005i) q^{84} +(-93.1533 - 102.572i) q^{85} +(-0.711355 - 2.26315i) q^{86} +(-158.814 - 55.5713i) q^{87} +(-5.05666 - 2.84786i) q^{88} +(-6.62079 - 8.03458i) q^{89} +(-1.90980 - 2.73785i) q^{90} +(119.727 - 50.7205i) q^{91} +(46.5680 - 115.024i) q^{92} +(17.9717 - 37.3186i) q^{93} +(-1.81105 - 3.33979i) q^{94} +(10.1995 + 9.56567i) q^{95} +(-9.78661 + 1.58222i) q^{96} +(27.7060 + 105.655i) q^{97} +(-0.00943797 - 0.588772i) q^{98} +(211.447 - 3.38947i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2688 q - 84 q^{2} - 84 q^{3} - 84 q^{4} - 84 q^{5} - 98 q^{6} - 84 q^{7} - 140 q^{8} - 84 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 2688 q - 84 q^{2} - 84 q^{3} - 84 q^{4} - 84 q^{5} - 98 q^{6} - 84 q^{7} - 140 q^{8} - 84 q^{9} - 84 q^{10} - 140 q^{11} - 140 q^{12} - 84 q^{13} - 28 q^{14} - 84 q^{15} + 112 q^{16} - 84 q^{17} - 210 q^{18} - 98 q^{19} - 84 q^{20} - 84 q^{21} - 84 q^{22} - 84 q^{23} - 308 q^{24} - 84 q^{25} + 70 q^{26} - 126 q^{27} - 910 q^{28} - 294 q^{29} + 70 q^{30} - 84 q^{31} - 84 q^{32} - 98 q^{33} - 84 q^{34} - 84 q^{35} + 2198 q^{36} + 126 q^{37} - 140 q^{38} - 84 q^{39} + 476 q^{40} + 28 q^{41} - 588 q^{42} - 84 q^{43} - 84 q^{44} - 966 q^{45} - 448 q^{46} + 266 q^{47} - 1428 q^{48} + 756 q^{49} - 84 q^{50} - 84 q^{51} + 126 q^{52} - 84 q^{53} - 588 q^{54} - 84 q^{55} - 84 q^{56} - 672 q^{57} + 532 q^{58} + 616 q^{59} - 378 q^{60} - 364 q^{61} - 854 q^{62} + 1036 q^{63} - 1428 q^{64} + 28 q^{65} + 406 q^{66} - 84 q^{67} - 966 q^{68} - 504 q^{69} - 84 q^{70} + 434 q^{71} - 532 q^{72} - 84 q^{73} + 546 q^{74} - 84 q^{75} - 308 q^{76} + 700 q^{77} + 2310 q^{78} - 1400 q^{79} - 84 q^{80} - 700 q^{81} - 84 q^{82} - 98 q^{83} - 588 q^{84} + 1666 q^{85} - 84 q^{86} - 84 q^{87} + 420 q^{88} + 868 q^{89} - 1890 q^{90} + 1260 q^{91} + 924 q^{92} - 98 q^{93} - 420 q^{94} - 1834 q^{95} + 364 q^{96} + 504 q^{97} - 980 q^{98} + 630 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{196}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0441796 0.000708195i 0.0220898 0.000354098i 0.0270718 0.999633i \(-0.491382\pi\)
−0.00498196 + 0.999988i \(0.501586\pi\)
\(3\) −4.54280 + 1.11376i −1.51427 + 0.371254i −0.906275 0.422689i \(-0.861086\pi\)
−0.607993 + 0.793943i \(0.708025\pi\)
\(4\) −3.99599 0.128144i −0.998998 0.0320359i
\(5\) −0.843380 5.80577i −0.168676 1.16115i −0.885752 0.464159i \(-0.846357\pi\)
0.717076 0.696995i \(-0.245480\pi\)
\(6\) −0.201488 + 0.0459883i −0.0335813 + 0.00766472i
\(7\) −5.49223 + 5.67118i −0.784604 + 0.810168i −0.985541 0.169436i \(-0.945805\pi\)
0.200937 + 0.979604i \(0.435601\pi\)
\(8\) −0.352988 0.0169867i −0.0441235 0.00212334i
\(9\) 11.4172 5.95634i 1.26858 0.661816i
\(10\) −0.0331486 0.257094i −0.00331486 0.0257094i
\(11\) 14.6796 + 7.36145i 1.33451 + 0.669223i 0.965548 0.260224i \(-0.0837963\pi\)
0.368958 + 0.929446i \(0.379715\pi\)
\(12\) 18.2957 3.86845i 1.52464 0.322371i
\(13\) −15.1654 6.42460i −1.16657 0.494200i −0.281458 0.959574i \(-0.590818\pi\)
−0.885114 + 0.465374i \(0.845920\pi\)
\(14\) −0.246661 + 0.246661i −0.0176186 + 0.0176186i
\(15\) 10.2975 + 25.4351i 0.686503 + 1.69568i
\(16\) 15.9438 + 1.02362i 0.996484 + 0.0639764i
\(17\) 19.5848 13.2000i 1.15205 0.776468i 0.173977 0.984750i \(-0.444338\pi\)
0.978069 + 0.208282i \(0.0667870\pi\)
\(18\) 0.508626 0.255063i 0.0282570 0.0141702i
\(19\) −1.86349 + 1.48609i −0.0980786 + 0.0782151i −0.671301 0.741184i \(-0.734264\pi\)
0.573223 + 0.819400i \(0.305693\pi\)
\(20\) 2.62617 + 23.3079i 0.131308 + 1.16539i
\(21\) 18.6338 31.8801i 0.887322 1.51810i
\(22\) 0.643325 + 0.335622i 0.0292420 + 0.0152555i
\(23\) −10.7196 + 29.1285i −0.466068 + 1.26646i 0.459601 + 0.888125i \(0.347992\pi\)
−0.925670 + 0.378333i \(0.876498\pi\)
\(24\) 1.62247 0.315976i 0.0676030 0.0131657i
\(25\) −9.02897 + 2.67975i −0.361159 + 0.107190i
\(26\) −0.665454 0.294577i −0.0255944 0.0113299i
\(27\) −13.6197 + 11.9764i −0.504434 + 0.443570i
\(28\) 22.6736 21.9582i 0.809772 0.784221i
\(29\) 30.1481 + 19.6242i 1.03959 + 0.676698i 0.947730 0.319074i \(-0.103372\pi\)
0.0918597 + 0.995772i \(0.470719\pi\)
\(30\) 0.436929 + 1.13101i 0.0145643 + 0.0377002i
\(31\) −5.63163 + 6.83419i −0.181665 + 0.220458i −0.854658 0.519192i \(-0.826233\pi\)
0.672993 + 0.739649i \(0.265009\pi\)
\(32\) 2.11271 + 0.169682i 0.0660222 + 0.00530256i
\(33\) −74.8853 17.0921i −2.26925 0.517942i
\(34\) 0.874597 0.569299i 0.0257234 0.0167441i
\(35\) 37.5576 + 27.1036i 1.07307 + 0.774390i
\(36\) −46.3863 + 22.3385i −1.28851 + 0.620513i
\(37\) 5.67117 0.364101i 0.153275 0.00984058i 0.0127565 0.999919i \(-0.495939\pi\)
0.140518 + 0.990078i \(0.455123\pi\)
\(38\) −0.0833809 + 0.0643350i −0.00219423 + 0.00169303i
\(39\) 76.0490 + 12.2950i 1.94998 + 0.315257i
\(40\) 0.199082 + 2.06369i 0.00497705 + 0.0515923i
\(41\) 4.51023 23.1591i 0.110006 0.564855i −0.885047 0.465502i \(-0.845874\pi\)
0.995052 0.0993531i \(-0.0316773\pi\)
\(42\) 0.845810 1.39525i 0.0201383 0.0332203i
\(43\) −16.9182 50.9550i −0.393447 1.18500i −0.938108 0.346343i \(-0.887423\pi\)
0.544661 0.838656i \(-0.316658\pi\)
\(44\) −57.7161 31.2974i −1.31173 0.711304i
\(45\) −44.2102 61.2621i −0.982448 1.36138i
\(46\) −0.494215 + 1.27930i −0.0107438 + 0.0278108i
\(47\) −42.1937 74.9193i −0.897739 1.59403i −0.800957 0.598721i \(-0.795676\pi\)
−0.0967818 0.995306i \(-0.530855\pi\)
\(48\) −73.5694 + 13.1074i −1.53270 + 0.273071i
\(49\) −0.427144 13.3199i −0.00871723 0.271835i
\(50\) −0.400794 + 0.111996i −0.00801588 + 0.00223992i
\(51\) −74.2682 + 81.7776i −1.45624 + 1.60348i
\(52\) 59.7777 + 27.6160i 1.14957 + 0.531077i
\(53\) 4.51228 + 10.1933i 0.0851373 + 0.192327i 0.951911 0.306375i \(-0.0991163\pi\)
−0.866773 + 0.498702i \(0.833810\pi\)
\(54\) −0.610196 + 0.519467i −0.0112999 + 0.00961976i
\(55\) 30.3584 91.4347i 0.551971 1.66245i
\(56\) 2.03502 1.90856i 0.0363397 0.0340814i
\(57\) 6.81034 8.82648i 0.119480 0.154851i
\(58\) 1.31803 + 0.888342i 0.0227247 + 0.0153162i
\(59\) 54.6341 + 7.04428i 0.926001 + 0.119395i 0.576088 0.817388i \(-0.304579\pi\)
0.349913 + 0.936782i \(0.386211\pi\)
\(60\) −37.8896 102.958i −0.631493 1.71597i
\(61\) 43.8962 + 72.4114i 0.719610 + 1.18707i 0.975422 + 0.220346i \(0.0707185\pi\)
−0.255812 + 0.966727i \(0.582343\pi\)
\(62\) −0.253643 + 0.297944i −0.00409102 + 0.00480554i
\(63\) −28.9264 + 97.4625i −0.459148 + 1.54702i
\(64\) −63.5178 6.12748i −0.992465 0.0957419i
\(65\) −24.5095 + 93.4654i −0.377069 + 1.43793i
\(66\) −3.29630 0.808155i −0.0499439 0.0122448i
\(67\) 105.995 + 29.6189i 1.58202 + 0.442073i 0.944541 0.328393i \(-0.106507\pi\)
0.637481 + 0.770466i \(0.279976\pi\)
\(68\) −79.9522 + 50.2373i −1.17577 + 0.738784i
\(69\) 16.2547 144.264i 0.235575 2.09079i
\(70\) 1.64008 + 1.22403i 0.0234298 + 0.0174861i
\(71\) 102.951 + 32.3595i 1.45001 + 0.455767i 0.919897 0.392159i \(-0.128272\pi\)
0.530113 + 0.847927i \(0.322149\pi\)
\(72\) −4.13131 + 1.90857i −0.0573793 + 0.0265080i
\(73\) 37.0125 + 32.5466i 0.507020 + 0.445844i 0.875095 0.483952i \(-0.160799\pi\)
−0.368074 + 0.929796i \(0.619983\pi\)
\(74\) 0.250808 0.0120696i 0.00338930 0.000163102i
\(75\) 38.0322 22.2297i 0.507096 0.296396i
\(76\) 7.63694 5.69960i 0.100486 0.0749947i
\(77\) −122.372 + 42.8197i −1.58924 + 0.556100i
\(78\) 3.35111 + 0.597047i 0.0429630 + 0.00765445i
\(79\) −17.9192 + 123.355i −0.226825 + 1.56145i 0.494701 + 0.869063i \(0.335278\pi\)
−0.721527 + 0.692387i \(0.756559\pi\)
\(80\) −7.50372 93.4290i −0.0937965 1.16786i
\(81\) −17.7741 + 25.4805i −0.219433 + 0.314574i
\(82\) 0.215661 1.01997i 0.00263002 0.0124386i
\(83\) 51.1704 + 40.8070i 0.616510 + 0.491651i 0.881238 0.472673i \(-0.156711\pi\)
−0.264728 + 0.964323i \(0.585282\pi\)
\(84\) −78.5456 + 125.005i −0.935067 + 1.48815i
\(85\) −93.1533 102.572i −1.09592 1.20673i
\(86\) −0.711355 2.26315i −0.00827157 0.0263157i
\(87\) −158.814 55.5713i −1.82544 0.638750i
\(88\) −5.05666 2.84786i −0.0574621 0.0323620i
\(89\) −6.62079 8.03458i −0.0743909 0.0902762i 0.733221 0.679990i \(-0.238016\pi\)
−0.807612 + 0.589714i \(0.799240\pi\)
\(90\) −1.90980 2.73785i −0.0212200 0.0304205i
\(91\) 119.727 50.7205i 1.31568 0.557368i
\(92\) 46.5680 115.024i 0.506174 1.25026i
\(93\) 17.9717 37.3186i 0.193244 0.401276i
\(94\) −1.81105 3.33979i −0.0192665 0.0355296i
\(95\) 10.1995 + 9.56567i 0.107363 + 0.100691i
\(96\) −9.78661 + 1.58222i −0.101944 + 0.0164815i
\(97\) 27.7060 + 105.655i 0.285629 + 1.08923i 0.942224 + 0.334984i \(0.108731\pi\)
−0.656595 + 0.754243i \(0.728004\pi\)
\(98\) −0.00943797 0.588772i −9.63058e−5 0.00600788i
\(99\) 211.447 3.38947i 2.13583 0.0342371i
\(100\) 36.4231 9.55126i 0.364231 0.0955126i
\(101\) −19.9624 123.475i −0.197648 1.22252i −0.873994 0.485938i \(-0.838478\pi\)
0.676346 0.736584i \(-0.263563\pi\)
\(102\) −3.33906 + 3.56031i −0.0327358 + 0.0349050i
\(103\) −20.1760 + 10.9407i −0.195884 + 0.106221i −0.571663 0.820488i \(-0.693702\pi\)
0.375779 + 0.926709i \(0.377375\pi\)
\(104\) 5.24408 + 2.52542i 0.0504238 + 0.0242828i
\(105\) −200.804 81.2964i −1.91241 0.774251i
\(106\) 0.192132 + 0.453532i 0.00181256 + 0.00427861i
\(107\) 107.669 75.1054i 1.00625 0.701919i 0.0513032 0.998683i \(-0.483663\pi\)
0.954951 + 0.296764i \(0.0959074\pi\)
\(108\) 55.9590 46.1123i 0.518139 0.426966i
\(109\) 28.3555 50.3481i 0.260143 0.461910i −0.710081 0.704120i \(-0.751342\pi\)
0.970224 + 0.242210i \(0.0778724\pi\)
\(110\) 1.40598 4.01805i 0.0127816 0.0365277i
\(111\) −25.3575 + 7.97037i −0.228446 + 0.0718051i
\(112\) −93.3718 + 84.7978i −0.833677 + 0.757123i
\(113\) −28.5310 17.9272i −0.252486 0.158648i 0.399842 0.916584i \(-0.369065\pi\)
−0.652329 + 0.757936i \(0.726208\pi\)
\(114\) 0.307129 0.385128i 0.00269411 0.00337831i
\(115\) 178.154 + 37.6689i 1.54917 + 0.327556i
\(116\) −117.957 82.2816i −1.01687 0.709324i
\(117\) −211.414 + 16.9796i −1.80696 + 0.145125i
\(118\) 2.40872 + 0.349905i 0.0204129 + 0.00296530i
\(119\) −32.7048 + 183.566i −0.274830 + 1.54257i
\(120\) −3.20285 9.15321i −0.0266904 0.0762768i
\(121\) 88.9275 + 119.155i 0.734938 + 0.984750i
\(122\) 1.88804 + 3.23020i 0.0154757 + 0.0264770i
\(123\) 5.30458 + 110.230i 0.0431267 + 0.896182i
\(124\) 23.3797 26.5877i 0.188546 0.214417i
\(125\) −38.3377 82.9859i −0.306702 0.663887i
\(126\) −1.34698 + 4.28537i −0.0106903 + 0.0340109i
\(127\) 66.2407 88.7565i 0.521580 0.698870i −0.460430 0.887696i \(-0.652305\pi\)
0.982011 + 0.188826i \(0.0604682\pi\)
\(128\) −11.2266 1.26493i −0.0877078 0.00988230i
\(129\) 133.608 + 212.636i 1.03572 + 1.64834i
\(130\) −1.14901 + 4.11191i −0.00883856 + 0.0316301i
\(131\) −40.0933 + 163.532i −0.306055 + 1.24834i 0.591091 + 0.806605i \(0.298697\pi\)
−0.897147 + 0.441733i \(0.854364\pi\)
\(132\) 297.051 + 77.8959i 2.25038 + 0.590120i
\(133\) 1.80687 18.7301i 0.0135855 0.140828i
\(134\) 4.66187 + 1.38362i 0.0347900 + 0.0103255i
\(135\) 81.0188 + 68.9723i 0.600139 + 0.510906i
\(136\) −7.13741 + 4.32674i −0.0524810 + 0.0318143i
\(137\) −17.1882 + 6.32543i −0.125462 + 0.0461710i −0.407323 0.913284i \(-0.633538\pi\)
0.281862 + 0.959455i \(0.409048\pi\)
\(138\) 0.820293 6.36203i 0.00594415 0.0461016i
\(139\) 5.19612 7.70948i 0.0373821 0.0554639i −0.810082 0.586317i \(-0.800577\pi\)
0.847464 + 0.530853i \(0.178128\pi\)
\(140\) −146.607 113.119i −1.04719 0.807991i
\(141\) 275.120 + 293.350i 1.95121 + 2.08049i
\(142\) 4.52541 + 1.50254i 0.0318691 + 0.0105813i
\(143\) −175.328 205.950i −1.22607 1.44021i
\(144\) 188.130 83.2795i 1.30646 0.578330i
\(145\) 88.5075 191.584i 0.610396 1.32127i
\(146\) 1.61215 + 1.46411i 0.0110421 + 0.0100282i
\(147\) 16.7757 + 60.0341i 0.114120 + 0.408395i
\(148\) −22.7086 + 0.728222i −0.153437 + 0.00492042i
\(149\) 6.00239 + 33.6903i 0.0402845 + 0.226109i 0.998126 0.0611867i \(-0.0194885\pi\)
−0.957842 + 0.287296i \(0.907244\pi\)
\(150\) 1.69599 0.955165i 0.0113066 0.00636776i
\(151\) −142.398 55.0109i −0.943034 0.364311i −0.160582 0.987022i \(-0.551337\pi\)
−0.782451 + 0.622712i \(0.786031\pi\)
\(152\) 0.683034 0.492915i 0.00449364 0.00324286i
\(153\) 144.980 267.360i 0.947581 1.74745i
\(154\) −5.43666 + 1.80509i −0.0353030 + 0.0117214i
\(155\) 44.4273 + 26.9321i 0.286628 + 0.173756i
\(156\) −302.316 58.8760i −1.93792 0.377410i
\(157\) 253.241 24.4299i 1.61300 0.155604i 0.750222 0.661186i \(-0.229947\pi\)
0.862778 + 0.505582i \(0.168722\pi\)
\(158\) −0.879023 + 5.43707i −0.00556344 + 0.0344118i
\(159\) −31.8513 41.2806i −0.200323 0.259626i
\(160\) −0.796686 12.4090i −0.00497928 0.0775564i
\(161\) −106.319 220.773i −0.660365 1.37126i
\(162\) −0.803299 + 1.11313i −0.00495864 + 0.00687119i
\(163\) −83.5787 128.399i −0.512753 0.787726i 0.483396 0.875402i \(-0.339403\pi\)
−0.996149 + 0.0876757i \(0.972056\pi\)
\(164\) −20.9905 + 91.9655i −0.127991 + 0.560765i
\(165\) −36.0759 + 449.182i −0.218642 + 2.72231i
\(166\) 2.23179 + 1.83908i 0.0134445 + 0.0110788i
\(167\) 9.96304 3.84890i 0.0596589 0.0230473i −0.330349 0.943859i \(-0.607166\pi\)
0.390007 + 0.920812i \(0.372472\pi\)
\(168\) −7.11903 + 10.9367i −0.0423752 + 0.0650996i
\(169\) 71.1447 + 73.4627i 0.420974 + 0.434691i
\(170\) −4.04284 4.59757i −0.0237814 0.0270445i
\(171\) −12.4242 + 28.0665i −0.0726563 + 0.164132i
\(172\) 61.0755 + 205.784i 0.355090 + 1.19642i
\(173\) 30.6104 + 157.178i 0.176938 + 0.908542i 0.958582 + 0.284816i \(0.0919326\pi\)
−0.781644 + 0.623725i \(0.785618\pi\)
\(174\) −6.97697 2.56759i −0.0400975 0.0147563i
\(175\) 34.3918 65.9226i 0.196525 0.376701i
\(176\) 226.512 + 132.395i 1.28700 + 0.752247i
\(177\) −256.037 + 28.8485i −1.44654 + 0.162986i
\(178\) −0.286814 0.359654i −0.00161132 0.00202053i
\(179\) 26.8761 + 53.5940i 0.150146 + 0.299408i 0.956347 0.292234i \(-0.0943985\pi\)
−0.806201 + 0.591642i \(0.798480\pi\)
\(180\) 168.813 + 250.468i 0.937851 + 1.39149i
\(181\) 13.2304 206.073i 0.0730959 1.13853i −0.783107 0.621887i \(-0.786366\pi\)
0.856203 0.516640i \(-0.172817\pi\)
\(182\) 5.32542 2.15602i 0.0292605 0.0118463i
\(183\) −280.061 280.061i −1.53039 1.53039i
\(184\) 4.27867 10.0999i 0.0232537 0.0548909i
\(185\) −6.89684 32.6184i −0.0372802 0.176316i
\(186\) 0.820413 1.63600i 0.00441082 0.00879568i
\(187\) 384.667 49.5973i 2.05704 0.265226i
\(188\) 159.005 + 304.784i 0.845774 + 1.62119i
\(189\) 6.88236 143.017i 0.0364146 0.756703i
\(190\) 0.443836 + 0.429831i 0.00233598 + 0.00226227i
\(191\) −7.25564 31.7890i −0.0379877 0.166435i 0.952376 0.304926i \(-0.0986318\pi\)
−0.990364 + 0.138491i \(0.955775\pi\)
\(192\) 295.373 42.9077i 1.53840 0.223477i
\(193\) 2.44737 76.3179i 0.0126807 0.395430i −0.973395 0.229133i \(-0.926411\pi\)
0.986076 0.166297i \(-0.0531809\pi\)
\(194\) 1.14922 + 4.68742i 0.00592380 + 0.0241620i
\(195\) 7.24380 451.893i 0.0371477 2.31740i
\(196\) 53.2811i 0.271842i
\(197\) −102.650 + 168.143i −0.521064 + 0.853518i
\(198\) 9.34404 0.0471921
\(199\) 46.6627 + 0.747999i 0.234486 + 0.00375879i 0.133160 0.991095i \(-0.457487\pi\)
0.101326 + 0.994853i \(0.467692\pi\)
\(200\) 3.23263 0.792546i 0.0161632 0.00396273i
\(201\) −514.505 16.4992i −2.55973 0.0820854i
\(202\) −0.794489 5.46920i −0.00393311 0.0270753i
\(203\) −276.873 + 63.1944i −1.36390 + 0.311302i
\(204\) 307.255 317.266i 1.50615 1.55522i
\(205\) −138.260 6.65345i −0.674439 0.0324558i
\(206\) −0.899117 + 0.469069i −0.00436465 + 0.00227703i
\(207\) 51.1121 + 396.416i 0.246918 + 1.91505i
\(208\) −235.218 117.956i −1.13085 0.567096i
\(209\) −38.2950 + 8.09710i −0.183230 + 0.0387421i
\(210\) −8.81385 3.73385i −0.0419707 0.0177802i
\(211\) 200.673 200.673i 0.951057 0.951057i −0.0477995 0.998857i \(-0.515221\pi\)
0.998857 + 0.0477995i \(0.0152209\pi\)
\(212\) −16.7248 41.3106i −0.0788907 0.194861i
\(213\) −503.726 32.3403i −2.36491 0.151832i
\(214\) 4.80997 3.24188i 0.0224765 0.0151490i
\(215\) −281.564 + 141.198i −1.30960 + 0.656734i
\(216\) 5.01103 3.99616i 0.0231992 0.0185008i
\(217\) −7.82771 69.4729i −0.0360724 0.320151i
\(218\) 1.28839 2.20428i 0.00591006 0.0101114i
\(219\) −204.390 106.630i −0.933286 0.486895i
\(220\) −133.029 + 361.482i −0.604676 + 1.64310i
\(221\) −381.816 + 74.3587i −1.72768 + 0.336465i
\(222\) −1.12593 + 0.334170i −0.00507175 + 0.00150527i
\(223\) −214.633 95.0119i −0.962482 0.426062i −0.137050 0.990564i \(-0.543762\pi\)
−0.825432 + 0.564502i \(0.809068\pi\)
\(224\) −12.5658 + 11.0496i −0.0560973 + 0.0493287i
\(225\) −87.1239 + 84.3748i −0.387218 + 0.374999i
\(226\) −1.24779 0.812222i −0.00552120 0.00359390i
\(227\) 67.2360 + 174.043i 0.296194 + 0.766709i 0.998496 + 0.0548301i \(0.0174617\pi\)
−0.702302 + 0.711879i \(0.747844\pi\)
\(228\) −28.3451 + 34.3979i −0.124321 + 0.150868i
\(229\) 297.528 + 23.8959i 1.29925 + 0.104349i 0.710346 0.703853i \(-0.248539\pi\)
0.588905 + 0.808202i \(0.299559\pi\)
\(230\) 7.84411 + 1.79037i 0.0341048 + 0.00778420i
\(231\) 508.219 330.814i 2.20008 1.43209i
\(232\) −10.3086 7.43923i −0.0444334 0.0320656i
\(233\) 236.995 114.131i 1.01714 0.489831i 0.150422 0.988622i \(-0.451937\pi\)
0.866722 + 0.498791i \(0.166223\pi\)
\(234\) −9.35221 + 0.600432i −0.0399667 + 0.00256595i
\(235\) −399.379 + 308.153i −1.69948 + 1.31129i
\(236\) −217.415 35.1499i −0.921248 0.148940i
\(237\) −55.9840 580.333i −0.236220 2.44866i
\(238\) −1.57489 + 8.08671i −0.00661717 + 0.0339778i
\(239\) 23.6778 39.0589i 0.0990701 0.163427i −0.801695 0.597734i \(-0.796068\pi\)
0.900765 + 0.434307i \(0.143007\pi\)
\(240\) 138.145 + 416.072i 0.575606 + 1.73363i
\(241\) −169.490 91.9086i −0.703280 0.381363i 0.0852502 0.996360i \(-0.472831\pi\)
−0.788530 + 0.614996i \(0.789158\pi\)
\(242\) 3.84440 + 5.32719i 0.0158859 + 0.0220132i
\(243\) 111.186 287.810i 0.457557 1.18440i
\(244\) −166.130 294.981i −0.680860 1.20894i
\(245\) −76.9722 + 13.7137i −0.314172 + 0.0559742i
\(246\) 0.156290 + 4.87369i 0.000635325 + 0.0198118i
\(247\) 37.8082 10.5649i 0.153070 0.0427731i
\(248\) 2.10399 2.31672i 0.00848381 0.00934162i
\(249\) −277.906 128.387i −1.11609 0.515609i
\(250\) −1.63498 3.69344i −0.00653990 0.0147738i
\(251\) −88.0922 + 74.9939i −0.350965 + 0.298781i −0.806262 0.591559i \(-0.798513\pi\)
0.455297 + 0.890340i \(0.349533\pi\)
\(252\) 128.079 385.753i 0.508249 1.53076i
\(253\) −371.787 + 348.683i −1.46951 + 1.37819i
\(254\) 2.98935 3.87432i 0.0117691 0.0152532i
\(255\) 537.418 + 362.215i 2.10752 + 1.42045i
\(256\) 252.660 + 32.5769i 0.986953 + 0.127253i
\(257\) 69.7681 + 189.583i 0.271471 + 0.737675i 0.998685 + 0.0512642i \(0.0163251\pi\)
−0.727214 + 0.686411i \(0.759185\pi\)
\(258\) 5.75216 + 9.48878i 0.0222952 + 0.0367782i
\(259\) −29.0825 + 34.1619i −0.112288 + 0.131899i
\(260\) 109.917 370.346i 0.422757 1.42441i
\(261\) 461.095 + 44.4813i 1.76665 + 0.170426i
\(262\) −1.88712 + 7.19640i −0.00720274 + 0.0274672i
\(263\) −336.191 82.4241i −1.27829 0.313399i −0.459855 0.887994i \(-0.652098\pi\)
−0.818438 + 0.574595i \(0.805160\pi\)
\(264\) 26.1432 + 7.30535i 0.0990274 + 0.0276718i
\(265\) 55.3744 34.7941i 0.208960 0.131298i
\(266\) 0.0930915 0.826210i 0.000349968 0.00310605i
\(267\) 39.0256 + 29.1255i 0.146163 + 0.109084i
\(268\) −419.762 131.940i −1.56628 0.492312i
\(269\) 102.044 47.1420i 0.379344 0.175249i −0.220459 0.975396i \(-0.570756\pi\)
0.599804 + 0.800147i \(0.295245\pi\)
\(270\) 3.53053 + 3.10455i 0.0130760 + 0.0114983i
\(271\) 431.673 20.7733i 1.59289 0.0766541i 0.767436 0.641125i \(-0.221532\pi\)
0.825453 + 0.564471i \(0.190920\pi\)
\(272\) 325.767 190.409i 1.19767 0.700035i
\(273\) −487.406 + 363.760i −1.78537 + 1.33246i
\(274\) −0.763850 + 0.267283i −0.00278777 + 0.000975484i
\(275\) −152.268 27.1287i −0.553702 0.0986498i
\(276\) −83.4401 + 574.396i −0.302319 + 2.08114i
\(277\) 3.58651 + 44.6557i 0.0129477 + 0.161212i 1.00000 0.000811283i \(0.000258239\pi\)
−0.987052 + 0.160401i \(0.948721\pi\)
\(278\) 0.235022 0.336922i 0.000845404 0.00121195i
\(279\) −23.5906 + 111.571i −0.0845541 + 0.399897i
\(280\) −12.7970 10.2052i −0.0457034 0.0364473i
\(281\) 111.102 176.818i 0.395381 0.629245i −0.588410 0.808562i \(-0.700246\pi\)
0.983791 + 0.179317i \(0.0573889\pi\)
\(282\) 11.9469 + 13.1549i 0.0423651 + 0.0466486i
\(283\) 141.360 + 449.733i 0.499506 + 1.58916i 0.777699 + 0.628637i \(0.216387\pi\)
−0.278193 + 0.960525i \(0.589736\pi\)
\(284\) −407.244 142.501i −1.43396 0.501763i
\(285\) −56.9882 32.0952i −0.199959 0.112615i
\(286\) −7.60006 9.22296i −0.0265736 0.0322481i
\(287\) 106.568 + 152.773i 0.371317 + 0.532311i
\(288\) 25.1319 10.6467i 0.0872636 0.0369679i
\(289\) 100.873 249.158i 0.349041 0.862138i
\(290\) 4.04591 8.40141i 0.0139514 0.0289704i
\(291\) −243.537 449.112i −0.836898 1.54334i
\(292\) −143.731 134.799i −0.492230 0.461641i
\(293\) −56.5567 + 9.14365i −0.193026 + 0.0312070i −0.255349 0.966849i \(-0.582190\pi\)
0.0623221 + 0.998056i \(0.480149\pi\)
\(294\) 0.698626 + 2.66416i 0.00237628 + 0.00906178i
\(295\) −5.17980 323.134i −0.0175587 1.09537i
\(296\) −2.00804 + 0.0321887i −0.00678392 + 0.000108746i
\(297\) −288.095 + 75.5474i −0.970017 + 0.254369i
\(298\) 0.241324 + 1.49268i 0.000809813 + 0.00500898i
\(299\) 349.706 372.878i 1.16959 1.24708i
\(300\) −154.825 + 83.9561i −0.516083 + 0.279854i
\(301\) 381.893 + 183.910i 1.26875 + 0.610997i
\(302\) −6.25213 2.53121i −0.0207024 0.00838149i
\(303\) 228.207 + 538.688i 0.753157 + 1.77785i
\(304\) −31.2323 + 21.7863i −0.102738 + 0.0716654i
\(305\) 383.383 315.922i 1.25699 1.03581i
\(306\) 6.59450 11.7092i 0.0215506 0.0382654i
\(307\) −147.805 + 422.402i −0.481449 + 1.37590i 0.405526 + 0.914083i \(0.367088\pi\)
−0.886975 + 0.461818i \(0.847197\pi\)
\(308\) 494.483 155.426i 1.60546 0.504630i
\(309\) 79.4703 72.1728i 0.257185 0.233569i
\(310\) 1.94371 + 1.22131i 0.00627003 + 0.00393972i
\(311\) −225.170 + 282.355i −0.724020 + 0.907893i −0.998558 0.0536837i \(-0.982904\pi\)
0.274538 + 0.961576i \(0.411475\pi\)
\(312\) −26.6355 5.63181i −0.0853703 0.0180507i
\(313\) −169.637 118.331i −0.541970 0.378055i 0.269002 0.963140i \(-0.413306\pi\)
−0.810972 + 0.585085i \(0.801061\pi\)
\(314\) 11.2054 0.899958i 0.0356860 0.00286611i
\(315\) 590.241 + 85.7418i 1.87378 + 0.272196i
\(316\) 87.4121 490.628i 0.276621 1.55262i
\(317\) 159.900 + 456.968i 0.504416 + 1.44154i 0.861640 + 0.507520i \(0.169438\pi\)
−0.357224 + 0.934019i \(0.616277\pi\)
\(318\) −1.37794 1.84632i −0.00433316 0.00580603i
\(319\) 298.098 + 510.009i 0.934477 + 1.59877i
\(320\) 17.9949 + 373.937i 0.0562340 + 1.16855i
\(321\) −405.470 + 461.106i −1.26315 + 1.43647i
\(322\) −4.54077 9.82897i −0.0141018 0.0305247i
\(323\) −16.8798 + 53.7027i −0.0522596 + 0.166262i
\(324\) 74.2904 99.5424i 0.229291 0.307230i
\(325\) 154.145 + 17.3679i 0.474291 + 0.0534397i
\(326\) −3.60154 5.73182i −0.0110477 0.0175823i
\(327\) −72.7379 + 260.303i −0.222440 + 0.796033i
\(328\) −1.98545 + 8.09825i −0.00605321 + 0.0246898i
\(329\) 656.618 + 172.185i 1.99580 + 0.523360i
\(330\) −1.91193 + 19.8191i −0.00579372 + 0.0600580i
\(331\) −54.6209 16.2112i −0.165018 0.0489764i 0.200963 0.979599i \(-0.435593\pi\)
−0.365981 + 0.930622i \(0.619266\pi\)
\(332\) −199.247 169.622i −0.600142 0.510909i
\(333\) 62.5802 37.9365i 0.187928 0.113923i
\(334\) 0.442889 0.162987i 0.00132602 0.000487986i
\(335\) 82.5660 640.365i 0.246466 1.91154i
\(336\) 329.725 489.214i 0.981325 1.45599i
\(337\) −271.724 209.657i −0.806301 0.622126i 0.122599 0.992456i \(-0.460877\pi\)
−0.928900 + 0.370330i \(0.879245\pi\)
\(338\) 3.09112 + 3.29594i 0.00914532 + 0.00975130i
\(339\) 149.577 + 49.6630i 0.441230 + 0.146499i
\(340\) 359.096 + 421.815i 1.05617 + 1.24063i
\(341\) −132.979 + 58.8660i −0.389969 + 0.172628i
\(342\) −0.568774 + 1.23117i −0.00166308 + 0.00359991i
\(343\) −208.485 189.340i −0.607827 0.552013i
\(344\) 5.10637 + 18.2739i 0.0148441 + 0.0531217i
\(345\) −851.273 + 27.2987i −2.46746 + 0.0791266i
\(346\) 1.24104 + 6.96573i 0.00358683 + 0.0201322i
\(347\) −427.873 + 240.974i −1.23306 + 0.694448i −0.963287 0.268474i \(-0.913481\pi\)
−0.269777 + 0.962923i \(0.586950\pi\)
\(348\) 627.497 + 242.413i 1.80315 + 0.696590i
\(349\) 82.9649 59.8721i 0.237722 0.171553i −0.460007 0.887915i \(-0.652153\pi\)
0.697729 + 0.716362i \(0.254194\pi\)
\(350\) 1.56610 2.88808i 0.00447458 0.00825166i
\(351\) 283.492 94.1260i 0.807671 0.268165i
\(352\) 29.7646 + 18.0435i 0.0845585 + 0.0512599i
\(353\) 310.726 + 60.5140i 0.880245 + 0.171428i 0.610987 0.791641i \(-0.290773\pi\)
0.269258 + 0.963068i \(0.413222\pi\)
\(354\) −11.3321 + 1.09319i −0.0320115 + 0.00308811i
\(355\) 101.045 625.000i 0.284634 1.76056i
\(356\) 25.4271 + 32.9545i 0.0714244 + 0.0925689i
\(357\) −55.8770 870.329i −0.156518 2.43790i
\(358\) 1.14942 + 2.38680i 0.00321067 + 0.00666703i
\(359\) −299.392 + 414.868i −0.833960 + 1.15562i 0.151957 + 0.988387i \(0.451442\pi\)
−0.985917 + 0.167233i \(0.946517\pi\)
\(360\) 14.5650 + 22.3758i 0.0404584 + 0.0621549i
\(361\) −79.0659 + 346.410i −0.219019 + 0.959585i
\(362\) 0.730452 9.09488i 0.00201782 0.0251240i
\(363\) −536.690 442.252i −1.47848 1.21833i
\(364\) −484.928 + 187.336i −1.33222 + 0.514661i
\(365\) 157.743 242.335i 0.432172 0.663932i
\(366\) −12.1746 12.5713i −0.0332641 0.0343479i
\(367\) −72.3038 82.2249i −0.197013 0.224046i 0.644049 0.764984i \(-0.277253\pi\)
−0.841063 + 0.540938i \(0.818069\pi\)
\(368\) −200.727 + 453.445i −0.545453 + 1.23219i
\(369\) −86.4492 291.276i −0.234280 0.789366i
\(370\) −0.281600 1.44596i −0.000761080 0.00390799i
\(371\) −82.5905 30.3941i −0.222616 0.0819247i
\(372\) −76.5970 + 146.822i −0.205906 + 0.394683i
\(373\) 262.387 + 153.364i 0.703451 + 0.411164i 0.812569 0.582864i \(-0.198068\pi\)
−0.109119 + 0.994029i \(0.534803\pi\)
\(374\) 17.0296 1.91877i 0.0455336 0.00513041i
\(375\) 266.587 + 334.290i 0.710899 + 0.891439i
\(376\) 13.6212 + 27.1623i 0.0362267 + 0.0722402i
\(377\) −331.131 491.300i −0.878332 1.30318i
\(378\) 0.405344 6.31356i 0.00107234 0.0167025i
\(379\) 595.665 241.158i 1.57168 0.636301i 0.586826 0.809713i \(-0.300377\pi\)
0.984849 + 0.173412i \(0.0554793\pi\)
\(380\) −39.5314 39.5314i −0.104030 0.104030i
\(381\) −202.065 + 476.979i −0.530354 + 1.25191i
\(382\) −0.298039 1.40957i −0.000780206 0.00368996i
\(383\) 80.8555 161.235i 0.211111 0.420979i −0.763208 0.646153i \(-0.776377\pi\)
0.974319 + 0.225174i \(0.0722950\pi\)
\(384\) 52.4091 6.75740i 0.136482 0.0175974i
\(385\) 351.807 + 674.348i 0.913784 + 1.75155i
\(386\) 0.162172 3.36996i 0.000420134 0.00873048i
\(387\) −496.664 480.992i −1.28337 1.24287i
\(388\) −97.1740 425.747i −0.250449 1.09729i
\(389\) 655.590 95.2348i 1.68532 0.244820i 0.767282 0.641310i \(-0.221609\pi\)
0.918039 + 0.396490i \(0.129772\pi\)
\(390\) 0.640056 19.9593i 0.00164117 0.0511777i
\(391\) 174.555 + 711.974i 0.446432 + 1.82091i
\(392\) −0.0754853 + 4.70903i −0.000192565 + 0.0120128i
\(393\) 787.549i 2.00394i
\(394\) −4.65410 + 7.35580i −0.0118124 + 0.0186695i
\(395\) 731.281 1.85134
\(396\) −845.374 13.5513i −2.13478 0.0342204i
\(397\) −145.083 + 35.5700i −0.365448 + 0.0895970i −0.416590 0.909094i \(-0.636775\pi\)
0.0511424 + 0.998691i \(0.483714\pi\)
\(398\) 2.06101 + 0.0660927i 0.00517842 + 0.000166062i
\(399\) 12.6526 + 87.0996i 0.0317108 + 0.218295i
\(400\) −146.699 + 33.4830i −0.366747 + 0.0837075i
\(401\) 323.223 333.754i 0.806042 0.832304i −0.182507 0.983204i \(-0.558421\pi\)
0.988549 + 0.150900i \(0.0482173\pi\)
\(402\) −22.7189 1.09330i −0.0565148 0.00271964i
\(403\) 129.313 67.4625i 0.320876 0.167401i
\(404\) 63.9472 + 495.962i 0.158285 + 1.22763i
\(405\) 162.924 + 81.7026i 0.402282 + 0.201735i
\(406\) −12.2769 + 2.59582i −0.0302386 + 0.00639366i
\(407\) 85.9307 + 36.4032i 0.211132 + 0.0894427i
\(408\) 27.6049 27.6049i 0.0676591 0.0676591i
\(409\) −146.169 361.039i −0.357381 0.882737i −0.993778 0.111376i \(-0.964474\pi\)
0.636398 0.771361i \(-0.280424\pi\)
\(410\) −6.10357 0.391862i −0.0148867 0.000955761i
\(411\) 71.0378 47.8788i 0.172841 0.116493i
\(412\) 82.0252 41.1337i 0.199090 0.0998390i
\(413\) −340.012 + 271.150i −0.823274 + 0.656539i
\(414\) 1.97738 + 17.5497i 0.00477627 + 0.0423906i
\(415\) 193.760 331.499i 0.466891 0.798793i
\(416\) −30.9501 16.1466i −0.0743992 0.0388140i
\(417\) −15.0184 + 40.8099i −0.0360154 + 0.0978654i
\(418\) −1.69759 + 0.330606i −0.00406123 + 0.000790924i
\(419\) −513.314 + 152.349i −1.22509 + 0.363601i −0.831418 0.555648i \(-0.812470\pi\)
−0.393676 + 0.919249i \(0.628797\pi\)
\(420\) 791.992 + 350.591i 1.88570 + 0.834741i
\(421\) −88.0038 + 77.3855i −0.209035 + 0.183813i −0.758440 0.651743i \(-0.774038\pi\)
0.549405 + 0.835556i \(0.314854\pi\)
\(422\) 9.00778 8.72355i 0.0213454 0.0206719i
\(423\) −927.979 604.047i −2.19380 1.42801i
\(424\) −1.41963 3.67476i −0.00334818 0.00866689i
\(425\) −141.458 + 171.664i −0.332842 + 0.403916i
\(426\) −22.2315 1.78552i −0.0521866 0.00419135i
\(427\) −651.746 148.757i −1.52634 0.348376i
\(428\) −439.870 + 286.323i −1.02773 + 0.668980i
\(429\) 1025.86 + 740.317i 2.39128 + 1.72568i
\(430\) −12.5394 + 6.03866i −0.0291614 + 0.0140434i
\(431\) 601.651 38.6273i 1.39594 0.0896225i 0.652179 0.758065i \(-0.273855\pi\)
0.743763 + 0.668443i \(0.233039\pi\)
\(432\) −229.409 + 177.007i −0.531039 + 0.409739i
\(433\) 521.620 + 84.3314i 1.20466 + 0.194761i 0.728781 0.684747i \(-0.240087\pi\)
0.475884 + 0.879508i \(0.342128\pi\)
\(434\) −0.296625 3.07483i −0.000683468 0.00708486i
\(435\) −188.694 + 968.902i −0.433779 + 2.22736i
\(436\) −119.760 + 197.557i −0.274680 + 0.453113i
\(437\) −23.3117 70.2110i −0.0533448 0.160666i
\(438\) −8.95434 4.85562i −0.0204437 0.0110859i
\(439\) −179.472 248.695i −0.408820 0.566503i 0.555408 0.831578i \(-0.312562\pi\)
−0.964228 + 0.265076i \(0.914603\pi\)
\(440\) −12.2693 + 31.7596i −0.0278848 + 0.0721810i
\(441\) −84.2149 149.532i −0.190963 0.339075i
\(442\) −16.9212 + 3.01474i −0.0382832 + 0.00682068i
\(443\) −3.40123 106.063i −0.00767772 0.239420i −0.996130 0.0878890i \(-0.971988\pi\)
0.988453 0.151531i \(-0.0484202\pi\)
\(444\) 102.350 28.6001i 0.230517 0.0644147i
\(445\) −41.0631 + 45.2150i −0.0922766 + 0.101607i
\(446\) −9.41514 4.34959i −0.0211102 0.00975245i
\(447\) −64.7906 146.363i −0.144945 0.327434i
\(448\) 383.604 326.567i 0.856259 0.728944i
\(449\) 101.338 305.214i 0.225697 0.679763i −0.773260 0.634090i \(-0.781375\pi\)
0.998956 0.0456733i \(-0.0145433\pi\)
\(450\) −3.90886 + 3.66595i −0.00868635 + 0.00814655i
\(451\) 236.693 306.763i 0.524817 0.680185i
\(452\) 111.712 + 75.2930i 0.247151 + 0.166577i
\(453\) 708.155 + 91.3065i 1.56326 + 0.201560i
\(454\) 2.84720 + 7.73677i 0.00627137 + 0.0170413i
\(455\) −395.447 652.331i −0.869114 1.43369i
\(456\) −2.55390 + 2.99995i −0.00560065 + 0.00657884i
\(457\) −159.163 + 536.273i −0.348278 + 1.17346i 0.584010 + 0.811746i \(0.301483\pi\)
−0.932288 + 0.361717i \(0.882191\pi\)
\(458\) 13.1278 + 1.26642i 0.0286633 + 0.00276511i
\(459\) −108.651 + 414.335i −0.236713 + 0.902690i
\(460\) −707.076 173.354i −1.53712 0.376857i
\(461\) 248.405 + 69.4130i 0.538838 + 0.150571i 0.527800 0.849369i \(-0.323017\pi\)
0.0110382 + 0.999939i \(0.496486\pi\)
\(462\) 22.6872 14.2553i 0.0491065 0.0308557i
\(463\) −61.0512 + 541.845i −0.131860 + 1.17029i 0.737232 + 0.675640i \(0.236133\pi\)
−0.869092 + 0.494651i \(0.835296\pi\)
\(464\) 460.586 + 343.744i 0.992642 + 0.740828i
\(465\) −231.820 72.8658i −0.498539 0.156701i
\(466\) 10.5512 4.87441i 0.0226420 0.0104601i
\(467\) −206.863 181.903i −0.442961 0.389515i 0.409496 0.912312i \(-0.365705\pi\)
−0.852457 + 0.522798i \(0.824888\pi\)
\(468\) 846.984 40.7592i 1.80980 0.0870922i
\(469\) −750.125 + 438.445i −1.59941 + 0.934851i
\(470\) −17.8626 + 13.3312i −0.0380056 + 0.0283643i
\(471\) −1123.21 + 393.030i −2.38474 + 0.834458i
\(472\) −19.1655 3.41460i −0.0406048 0.00723432i
\(473\) 126.750 872.540i 0.267971 1.84469i
\(474\) −2.06236 25.6785i −0.00435098 0.0541741i
\(475\) 12.8431 18.4115i 0.0270381 0.0387611i
\(476\) 154.211 729.337i 0.323973 1.53222i
\(477\) 112.232 + 89.5023i 0.235288 + 0.187636i
\(478\) 1.07374 1.70884i 0.00224631 0.00357498i
\(479\) −112.212 123.558i −0.234263 0.257949i 0.611825 0.790993i \(-0.290436\pi\)
−0.846087 + 0.533044i \(0.821048\pi\)
\(480\) 17.4399 + 55.4844i 0.0363330 + 0.115593i
\(481\) −88.3450 30.9133i −0.183670 0.0642687i
\(482\) −7.42294 4.18052i −0.0154003 0.00867328i
\(483\) 728.873 + 884.515i 1.50905 + 1.83129i
\(484\) −340.085 487.537i −0.702654 1.00731i
\(485\) 590.042 249.962i 1.21658 0.515386i
\(486\) 5.11599 12.6366i 0.0105267 0.0260012i
\(487\) −383.048 + 795.407i −0.786546 + 1.63328i −0.0126889 + 0.999919i \(0.504039\pi\)
−0.773857 + 0.633360i \(0.781675\pi\)
\(488\) −14.2648 26.3060i −0.0292311 0.0539057i
\(489\) 522.688 + 490.206i 1.06889 + 1.00247i
\(490\) −3.41032 + 0.551354i −0.00695983 + 0.00112521i
\(491\) −36.6121 139.618i −0.0745663 0.284354i 0.919506 0.393076i \(-0.128589\pi\)
−0.994072 + 0.108723i \(0.965324\pi\)
\(492\) −7.07175 441.160i −0.0143735 0.896666i
\(493\) 849.483 13.6171i 1.72309 0.0276210i
\(494\) 1.67783 0.439980i 0.00339643 0.000890648i
\(495\) −198.009 1224.75i −0.400017 2.47425i
\(496\) −96.7849 + 103.198i −0.195131 + 0.208060i
\(497\) −748.945 + 406.126i −1.50693 + 0.817155i
\(498\) −12.1869 5.86888i −0.0244716 0.0117849i
\(499\) 558.769 + 226.221i 1.11978 + 0.453348i 0.858961 0.512040i \(-0.171110\pi\)
0.260817 + 0.965388i \(0.416008\pi\)
\(500\) 142.563 + 336.524i 0.285126 + 0.673048i
\(501\) −40.9734 + 28.5813i −0.0817832 + 0.0570484i
\(502\) −3.94499 + 3.25082i −0.00785854 + 0.00647573i
\(503\) −334.083 + 593.198i −0.664181 + 1.17932i 0.309390 + 0.950935i \(0.399875\pi\)
−0.973571 + 0.228385i \(0.926655\pi\)
\(504\) 11.8662 33.9117i 0.0235441 0.0672851i
\(505\) −700.030 + 220.033i −1.38620 + 0.435710i
\(506\) −16.6723 + 15.1414i −0.0329493 + 0.0299237i
\(507\) −405.016 254.488i −0.798848 0.501950i
\(508\) −276.071 + 346.182i −0.543447 + 0.681461i
\(509\) −427.711 90.4353i −0.840297 0.177672i −0.233328 0.972398i \(-0.574962\pi\)
−0.606969 + 0.794726i \(0.707615\pi\)
\(510\) 23.4864 + 16.3831i 0.0460518 + 0.0321237i
\(511\) −387.859 + 31.1508i −0.759019 + 0.0609604i
\(512\) 55.8605 + 8.11463i 0.109103 + 0.0158489i
\(513\) 7.58230 42.5580i 0.0147803 0.0829590i
\(514\) 2.94807 + 8.42510i 0.00573554 + 0.0163912i
\(515\) 80.5354 + 107.910i 0.156379 + 0.209534i
\(516\) −506.648 866.811i −0.981876 1.67987i
\(517\) −67.8718 1410.39i −0.131280 2.72803i
\(518\) −1.30905 + 1.48867i −0.00252712 + 0.00287387i
\(519\) −314.115 679.935i −0.605232 1.31009i
\(520\) 10.2392 32.5758i 0.0196908 0.0626458i
\(521\) 402.454 539.252i 0.772465 1.03503i −0.225683 0.974201i \(-0.572461\pi\)
0.998148 0.0608323i \(-0.0193755\pi\)
\(522\) 20.3395 + 2.29171i 0.0389646 + 0.00439026i
\(523\) −156.608 249.241i −0.299442 0.476560i 0.662784 0.748811i \(-0.269375\pi\)
−0.962226 + 0.272251i \(0.912232\pi\)
\(524\) 181.168 648.336i 0.345740 1.23728i
\(525\) −82.8131 + 337.778i −0.157739 + 0.643386i
\(526\) −14.7944 3.87955i −0.0281263 0.00737558i
\(527\) −20.0832 + 208.183i −0.0381085 + 0.395035i
\(528\) −1176.46 349.166i −2.22814 0.661299i
\(529\) −330.757 281.578i −0.625250 0.532283i
\(530\) 2.47106 1.49797i 0.00466238 0.00282636i
\(531\) 665.726 244.993i 1.25372 0.461381i
\(532\) −9.62040 + 74.6139i −0.0180834 + 0.140252i
\(533\) −217.187 + 322.241i −0.407481 + 0.604580i
\(534\) 1.70351 + 1.31439i 0.00319009 + 0.00246141i
\(535\) −526.850 561.760i −0.984767 1.05002i
\(536\) −36.9120 12.2556i −0.0688656 0.0228650i
\(537\) −181.784 213.533i −0.338517 0.397642i
\(538\) 4.54164 2.01045i 0.00844170 0.00373689i
\(539\) 91.7837 198.675i 0.170285 0.368600i
\(540\) −314.912 285.995i −0.583170 0.529620i
\(541\) 98.7778 + 353.491i 0.182584 + 0.653402i 0.997293 + 0.0735323i \(0.0234272\pi\)
−0.814709 + 0.579870i \(0.803103\pi\)
\(542\) 19.0859 0.612046i 0.0352138 0.00112924i
\(543\) 169.414 + 950.886i 0.311996 + 1.75117i
\(544\) 43.6168 24.5645i 0.0801779 0.0451554i
\(545\) −316.224 122.163i −0.580228 0.224153i
\(546\) −21.7910 + 15.7256i −0.0399103 + 0.0288015i
\(547\) 272.930 503.315i 0.498957 0.920137i −0.499591 0.866262i \(-0.666516\pi\)
0.998548 0.0538750i \(-0.0171572\pi\)
\(548\) 69.4947 23.0738i 0.126815 0.0421055i
\(549\) 932.479 + 565.274i 1.69850 + 1.02964i
\(550\) −6.70794 1.30637i −0.0121963 0.00237522i
\(551\) −85.3441 + 8.23304i −0.154889 + 0.0149420i
\(552\) −8.18827 + 50.6474i −0.0148338 + 0.0917525i
\(553\) −601.149 779.114i −1.08707 1.40889i
\(554\) 0.126826 + 1.97541i 0.000228927 + 0.00356573i
\(555\) 67.6601 + 140.498i 0.121910 + 0.253149i
\(556\) −21.7516 + 30.1412i −0.0391215 + 0.0542108i
\(557\) 74.2751 + 114.106i 0.133348 + 0.204859i 0.898479 0.439016i \(-0.144673\pi\)
−0.765131 + 0.643875i \(0.777326\pi\)
\(558\) −1.12124 + 4.91247i −0.00200939 + 0.00880370i
\(559\) −70.7932 + 881.448i −0.126643 + 1.57683i
\(560\) 571.065 + 470.579i 1.01976 + 0.840319i
\(561\) −1692.23 + 653.738i −3.01645 + 1.16531i
\(562\) 5.03367 7.73307i 0.00895670 0.0137599i
\(563\) 412.868 + 426.320i 0.733335 + 0.757229i 0.977140 0.212595i \(-0.0681917\pi\)
−0.243805 + 0.969824i \(0.578396\pi\)
\(564\) −1061.79 1207.48i −1.88260 2.14092i
\(565\) −80.0187 + 180.764i −0.141626 + 0.319935i
\(566\) 5.92674 + 19.9691i 0.0104713 + 0.0352812i
\(567\) −46.8851 240.745i −0.0826897 0.424594i
\(568\) −35.7907 13.1713i −0.0630117 0.0231889i
\(569\) −52.4380 + 100.514i −0.0921581 + 0.176650i −0.928268 0.371912i \(-0.878702\pi\)
0.836110 + 0.548562i \(0.184825\pi\)
\(570\) −2.49499 1.45831i −0.00437717 0.00255844i
\(571\) 417.381 47.0275i 0.730964 0.0823599i 0.261366 0.965240i \(-0.415827\pi\)
0.469599 + 0.882880i \(0.344399\pi\)
\(572\) 674.217 + 845.442i 1.17870 + 1.47805i
\(573\) 68.3663 + 136.330i 0.119313 + 0.237924i
\(574\) 4.59994 + 6.82493i 0.00801383 + 0.0118901i
\(575\) 18.7295 291.726i 0.0325730 0.507350i
\(576\) −761.692 + 308.375i −1.32238 + 0.535373i
\(577\) −447.532 447.532i −0.775619 0.775619i 0.203464 0.979082i \(-0.434780\pi\)
−0.979082 + 0.203464i \(0.934780\pi\)
\(578\) 4.63298 10.9363i 0.00801553 0.0189209i
\(579\) 73.8820 + 349.423i 0.127603 + 0.603494i
\(580\) −378.226 + 754.225i −0.652113 + 1.30039i
\(581\) −512.463 + 66.0748i −0.882036 + 0.113726i
\(582\) −10.4413 20.0141i −0.0179404 0.0343885i
\(583\) −8.79925 + 182.850i −0.0150931 + 0.313637i
\(584\) −12.5121 12.1173i −0.0214248 0.0207488i
\(585\) 276.882 + 1213.10i 0.473303 + 2.07367i
\(586\) −2.50513 + 0.363910i −0.00427497 + 0.000621007i
\(587\) 6.96840 217.300i 0.0118712 0.370188i −0.976262 0.216591i \(-0.930506\pi\)
0.988134 0.153597i \(-0.0490857\pi\)
\(588\) −59.3424 242.046i −0.100922 0.411642i
\(589\) 0.338304 21.1045i 0.000574370 0.0358311i
\(590\) 14.2796i 0.0242027i
\(591\) 279.046 878.167i 0.472159 1.48590i
\(592\) 90.7925 0.153366
\(593\) 566.245 + 9.07686i 0.954883 + 0.0153067i 0.491524 0.870864i \(-0.336440\pi\)
0.463359 + 0.886171i \(0.346644\pi\)
\(594\) −12.7814 + 3.13363i −0.0215176 + 0.00527547i
\(595\) 1093.32 + 35.0608i 1.83752 + 0.0589257i
\(596\) −19.6683 135.395i −0.0330006 0.227173i
\(597\) −212.813 + 48.5731i −0.356470 + 0.0813620i
\(598\) 15.7140 16.2260i 0.0262775 0.0271337i
\(599\) −980.474 47.1831i −1.63685 0.0787697i −0.790871 0.611983i \(-0.790372\pi\)
−0.845981 + 0.533213i \(0.820984\pi\)
\(600\) −13.8025 + 7.20076i −0.0230042 + 0.0120013i
\(601\) −43.8360 339.983i −0.0729384 0.565696i −0.987071 0.160281i \(-0.948760\pi\)
0.914133 0.405415i \(-0.132873\pi\)
\(602\) 16.7417 + 8.39554i 0.0278101 + 0.0139461i
\(603\) 1386.59 293.181i 2.29949 0.486204i
\(604\) 561.972 + 238.071i 0.930418 + 0.394157i
\(605\) 616.785 616.785i 1.01948 1.01948i
\(606\) 9.70059 + 23.9606i 0.0160076 + 0.0395390i
\(607\) 1089.27 + 69.9335i 1.79451 + 0.115212i 0.925303 0.379229i \(-0.123811\pi\)
0.869211 + 0.494440i \(0.164627\pi\)
\(608\) −4.18918 + 2.82347i −0.00689011 + 0.00464387i
\(609\) 1187.39 595.449i 1.94974 0.977749i
\(610\) 17.1614 13.6858i 0.0281335 0.0224357i
\(611\) 158.560 + 1407.26i 0.259509 + 2.30321i
\(612\) −613.599 + 1049.79i −1.00261 + 1.71535i
\(613\) 232.649 + 121.373i 0.379525 + 0.197998i 0.641582 0.767055i \(-0.278278\pi\)
−0.262057 + 0.965052i \(0.584401\pi\)
\(614\) −6.82910 + 18.5569i −0.0111223 + 0.0302229i
\(615\) 635.498 123.763i 1.03333 0.201241i
\(616\) 43.9230 13.0361i 0.0713036 0.0211625i
\(617\) 531.095 + 235.100i 0.860770 + 0.381037i 0.787529 0.616277i \(-0.211360\pi\)
0.0732405 + 0.997314i \(0.476666\pi\)
\(618\) 3.56208 3.13229i 0.00576388 0.00506843i
\(619\) 74.2807 71.9368i 0.120001 0.116215i −0.633251 0.773946i \(-0.718280\pi\)
0.753252 + 0.657732i \(0.228484\pi\)
\(620\) −174.080 113.314i −0.280774 0.182764i
\(621\) −202.857 525.104i −0.326662 0.845578i
\(622\) −10.1479 + 12.3149i −0.0163150 + 0.0197988i
\(623\) 81.9284 + 6.58006i 0.131506 + 0.0105619i
\(624\) 1199.92 + 273.874i 1.92295 + 0.438901i
\(625\) −646.797 + 421.018i −1.03487 + 0.673629i
\(626\) −7.41068 5.34796i −0.0118381 0.00854307i
\(627\) 164.948 79.4350i 0.263076 0.126691i
\(628\) −1015.08 + 65.1703i −1.61637 + 0.103774i
\(629\) 106.263 81.9901i 0.168939 0.130350i
\(630\) 26.0159 + 4.20605i 0.0412951 + 0.00667627i
\(631\) −75.4817 782.447i −0.119622 1.24001i −0.838511 0.544885i \(-0.816573\pi\)
0.718888 0.695125i \(-0.244651\pi\)
\(632\) 8.42065 43.2382i 0.0133238 0.0684149i
\(633\) −688.116 + 1135.12i −1.08707 + 1.79324i
\(634\) 6.74070 + 20.3019i 0.0106320 + 0.0320219i
\(635\) −571.166 309.723i −0.899474 0.487752i
\(636\) 121.988 + 169.039i 0.191805 + 0.265784i
\(637\) −79.0974 + 204.747i −0.124172 + 0.321424i
\(638\) 12.8087 + 22.7431i 0.0200763 + 0.0356475i
\(639\) 1368.15 243.755i 2.14108 0.381464i
\(640\) 2.12438 + 66.2459i 0.00331934 + 0.103509i
\(641\) −984.473 + 275.097i −1.53584 + 0.429168i −0.930346 0.366682i \(-0.880494\pi\)
−0.605493 + 0.795850i \(0.707024\pi\)
\(642\) −18.2401 + 20.0844i −0.0284113 + 0.0312841i
\(643\) 847.771 + 391.652i 1.31846 + 0.609101i 0.947562 0.319572i \(-0.103539\pi\)
0.370900 + 0.928673i \(0.379049\pi\)
\(644\) 396.558 + 895.832i 0.615774 + 1.39104i
\(645\) 1121.83 955.029i 1.73927 1.48066i
\(646\) −0.783777 + 2.36061i −0.00121328 + 0.00365420i
\(647\) 637.964 598.319i 0.986035 0.924759i −0.0111355 0.999938i \(-0.503545\pi\)
0.997170 + 0.0751789i \(0.0239528\pi\)
\(648\) 6.70687 8.69239i 0.0103501 0.0134142i
\(649\) 750.148 + 505.593i 1.15585 + 0.779033i
\(650\) 6.79775 + 0.876473i 0.0104581 + 0.00134842i
\(651\) 112.936 + 306.883i 0.173481 + 0.471403i
\(652\) 317.526 + 523.793i 0.487004 + 0.803363i
\(653\) −733.766 + 861.923i −1.12368 + 1.31994i −0.182056 + 0.983288i \(0.558275\pi\)
−0.941628 + 0.336655i \(0.890704\pi\)
\(654\) −3.39788 + 11.4486i −0.00519553 + 0.0175055i
\(655\) 983.244 + 94.8524i 1.50114 + 0.144813i
\(656\) 95.6161 364.626i 0.145756 0.555832i
\(657\) 616.438 + 151.132i 0.938261 + 0.230034i
\(658\) 28.8872 + 8.07210i 0.0439015 + 0.0122676i
\(659\) −220.794 + 138.734i −0.335044 + 0.210522i −0.689037 0.724726i \(-0.741966\pi\)
0.353993 + 0.935248i \(0.384824\pi\)
\(660\) 201.719 1790.30i 0.305635 2.71258i
\(661\) −683.374 510.016i −1.03385 0.771582i −0.0598672 0.998206i \(-0.519068\pi\)
−0.973982 + 0.226624i \(0.927231\pi\)
\(662\) −2.40165 0.754887i −0.00362787 0.00114031i
\(663\) 1651.70 763.049i 2.49125 1.15090i
\(664\) −17.3693 15.2736i −0.0261586 0.0230024i
\(665\) −110.267 + 5.30633i −0.165814 + 0.00797944i
\(666\) 2.79164 1.63170i 0.00419164 0.00245000i
\(667\) −894.800 + 667.806i −1.34153 + 1.00121i
\(668\) −40.3055 + 14.1035i −0.0603375 + 0.0211130i
\(669\) 1080.86 + 192.570i 1.61563 + 0.287847i
\(670\) 4.10124 28.2326i 0.00612125 0.0421382i
\(671\) 111.325 + 1386.11i 0.165909 + 2.06573i
\(672\) 44.7772 64.1915i 0.0666328 0.0955231i
\(673\) 63.5855 300.726i 0.0944807 0.446844i −0.905277 0.424822i \(-0.860337\pi\)
0.999757 0.0220218i \(-0.00701031\pi\)
\(674\) −11.8562 9.45498i −0.0175908 0.0140282i
\(675\) 90.8782 144.632i 0.134634 0.214269i
\(676\) −274.880 302.673i −0.406627 0.447742i
\(677\) −95.4915 303.803i −0.141051 0.448750i 0.856697 0.515819i \(-0.172512\pi\)
−0.997748 + 0.0670700i \(0.978635\pi\)
\(678\) 6.57309 + 2.30002i 0.00969482 + 0.00339236i
\(679\) −751.356 423.156i −1.10656 0.623204i
\(680\) 31.1396 + 37.7891i 0.0457935 + 0.0555722i
\(681\) −499.282 715.758i −0.733160 1.05104i
\(682\) −5.91667 + 2.50650i −0.00867547 + 0.00367523i
\(683\) 76.5924 189.185i 0.112141 0.276991i −0.860441 0.509550i \(-0.829812\pi\)
0.972582 + 0.232559i \(0.0747099\pi\)
\(684\) 53.2437 110.562i 0.0778416 0.161640i
\(685\) 51.2202 + 94.4562i 0.0747740 + 0.137892i
\(686\) −9.07669 8.51264i −0.0132313 0.0124091i
\(687\) −1378.23 + 222.821i −2.00615 + 0.324339i
\(688\) −217.581 829.732i −0.316252 1.20601i
\(689\) −2.94270 183.576i −0.00427097 0.266438i
\(690\) −37.6283 + 0.603178i −0.0545337 + 0.000874171i
\(691\) 126.202 33.0939i 0.182636 0.0478928i −0.161204 0.986921i \(-0.551538\pi\)
0.343840 + 0.939028i \(0.388272\pi\)
\(692\) −102.177 632.004i −0.147655 0.913300i
\(693\) −1142.09 + 1217.77i −1.64804 + 1.75724i
\(694\) −19.0739 + 10.3431i −0.0274840 + 0.0149036i
\(695\) −49.1418 23.6654i −0.0707076 0.0340510i
\(696\) 55.1152 + 22.3137i 0.0791886 + 0.0320599i
\(697\) −217.367 513.100i −0.311861 0.736155i
\(698\) 3.70776 2.58637i 0.00531198 0.00370540i
\(699\) −949.505 + 782.428i −1.35838 + 1.11935i
\(700\) −145.877 + 259.019i −0.208396 + 0.370028i
\(701\) 372.222 1063.75i 0.530987 1.51747i −0.295963 0.955199i \(-0.595641\pi\)
0.826950 0.562275i \(-0.190074\pi\)
\(702\) 12.5913 3.95768i 0.0179363 0.00563773i
\(703\) −10.0271 + 9.10635i −0.0142633 + 0.0129536i
\(704\) −887.307 557.532i −1.26038 0.791948i
\(705\) 1471.09 1844.69i 2.08665 2.61658i
\(706\) 13.6849 + 2.89354i 0.0193837 + 0.00409850i
\(707\) 809.885 + 564.941i 1.14552 + 0.799067i
\(708\) 1026.82 82.4688i 1.45031 0.116481i
\(709\) −632.104 91.8231i −0.891542 0.129511i −0.317425 0.948283i \(-0.602818\pi\)
−0.574118 + 0.818773i \(0.694655\pi\)
\(710\) 4.90676 27.5407i 0.00691092 0.0387897i
\(711\) 530.155 + 1515.10i 0.745647 + 2.13094i
\(712\) 2.20058 + 2.94857i 0.00309070 + 0.00414126i
\(713\) −138.701 237.301i −0.194532 0.332820i
\(714\) −1.85226 38.4904i −0.00259420 0.0539081i
\(715\) −1047.83 + 1191.61i −1.46550 + 1.66658i
\(716\) −100.529 217.605i −0.140404 0.303918i
\(717\) −64.0611 + 203.808i −0.0893460 + 0.284252i
\(718\) −13.5208 + 18.1167i −0.0188312 + 0.0252321i
\(719\) −643.118 72.4620i −0.894462 0.100782i −0.347247 0.937774i \(-0.612883\pi\)
−0.547215 + 0.836992i \(0.684312\pi\)
\(720\) −642.167 1022.00i −0.891898 1.41945i
\(721\) 48.7645 174.511i 0.0676345 0.242040i
\(722\) −3.73843 + 15.2483i −0.00517788 + 0.0211195i
\(723\) 872.326 + 228.751i 1.20654 + 0.316391i
\(724\) −79.2754 + 821.773i −0.109496 + 1.13505i
\(725\) −324.794 96.3972i −0.447992 0.132962i
\(726\) −23.3976 19.9186i −0.0322280 0.0274361i
\(727\) 551.380 334.250i 0.758432 0.459766i −0.0854182 0.996345i \(-0.527223\pi\)
0.843850 + 0.536580i \(0.180284\pi\)
\(728\) −43.1238 + 15.8699i −0.0592359 + 0.0217994i
\(729\) −148.790 + 1153.99i −0.204102 + 1.58298i
\(730\) 7.14064 10.5946i 0.00978169 0.0145131i
\(731\) −1003.94 774.623i −1.37338 1.05968i
\(732\) 1083.23 + 1155.01i 1.47983 + 1.57788i
\(733\) −1016.52 337.509i −1.38680 0.460449i −0.478248 0.878225i \(-0.658728\pi\)
−0.908550 + 0.417776i \(0.862810\pi\)
\(734\) −3.13612 3.68387i −0.00427265 0.00501890i
\(735\) 334.396 148.027i 0.454960 0.201397i
\(736\) −27.5899 + 59.7213i −0.0374863 + 0.0811430i
\(737\) 1337.93 + 1215.07i 1.81537 + 1.64867i
\(738\) −3.61301 12.9297i −0.00489568 0.0175199i
\(739\) −920.880 + 29.5308i −1.24612 + 0.0399605i −0.648120 0.761538i \(-0.724444\pi\)
−0.597996 + 0.801499i \(0.704036\pi\)
\(740\) 23.3799 + 131.227i 0.0315944 + 0.177334i
\(741\) −159.988 + 90.1037i −0.215909 + 0.121597i
\(742\) −3.62729 1.40129i −0.00488853 0.00188853i
\(743\) 297.731 214.859i 0.400714 0.289178i −0.366688 0.930344i \(-0.619508\pi\)
0.767402 + 0.641166i \(0.221549\pi\)
\(744\) −6.97772 + 12.8677i −0.00937865 + 0.0172954i
\(745\) 190.536 63.2622i 0.255753 0.0849158i
\(746\) 11.4836 + 6.96140i 0.0153935 + 0.00933163i
\(747\) 827.282 + 161.113i 1.10747 + 0.215680i
\(748\) −1543.48 + 148.898i −2.06348 + 0.199061i
\(749\) −165.408 + 1023.11i −0.220838 + 1.36596i
\(750\) 11.5410 + 14.9576i 0.0153880 + 0.0199435i
\(751\) 41.9206 + 652.948i 0.0558198 + 0.869438i 0.926194 + 0.377047i \(0.123061\pi\)
−0.870374 + 0.492391i \(0.836123\pi\)
\(752\) −596.037 1237.68i −0.792603 1.64586i
\(753\) 316.660 438.796i 0.420531 0.582731i
\(754\) −14.2813 21.9399i −0.0189407 0.0290981i
\(755\) −199.285 + 873.125i −0.263954 + 1.15646i
\(756\) −45.8286 + 570.612i −0.0606198 + 0.754778i
\(757\) 260.257 + 214.462i 0.343801 + 0.283304i 0.791864 0.610697i \(-0.209111\pi\)
−0.448064 + 0.894002i \(0.647886\pi\)
\(758\) 26.4870 10.2324i 0.0349433 0.0134992i
\(759\) 1300.61 1998.08i 1.71358 2.63251i
\(760\) −3.43781 3.54982i −0.00452343 0.00467082i
\(761\) 519.160 + 590.396i 0.682207 + 0.775815i 0.984117 0.177521i \(-0.0568078\pi\)
−0.301910 + 0.953337i \(0.597624\pi\)
\(762\) −9.26495 + 20.9297i −0.0121587 + 0.0274668i
\(763\) 129.798 + 437.333i 0.170115 + 0.573175i
\(764\) 24.9199 + 127.959i 0.0326177 + 0.167485i
\(765\) −1674.50 616.233i −2.18889 0.805533i
\(766\)