Properties

Label 177.4.f.a.89.19
Level $177$
Weight $4$
Character 177.89
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [177,4,Mod(2,177)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(177, base_ring=CyclotomicField(58))
 
chi = DirichletCharacter(H, H._module([29, 1]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("177.2");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), 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: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 89.19
Character \(\chi\) \(=\) 177.89
Dual form 177.4.f.a.2.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.123545 - 2.27865i) q^{2} +(-4.04503 + 3.26155i) q^{3} +(2.77611 - 0.301920i) q^{4} +(-0.776377 - 2.30421i) q^{5} +(7.93169 + 8.81427i) q^{6} +(-10.4076 + 15.3501i) q^{7} +(-3.98444 - 24.3040i) q^{8} +(5.72454 - 26.3862i) q^{9} +O(q^{10})\) \(q+(-0.123545 - 2.27865i) q^{2} +(-4.04503 + 3.26155i) q^{3} +(2.77611 - 0.301920i) q^{4} +(-0.776377 - 2.30421i) q^{5} +(7.93169 + 8.81427i) q^{6} +(-10.4076 + 15.3501i) q^{7} +(-3.98444 - 24.3040i) q^{8} +(5.72454 - 26.3862i) q^{9} +(-5.15457 + 2.05377i) q^{10} +(2.09406 + 0.460938i) q^{11} +(-10.2447 + 10.2757i) q^{12} +(59.2134 + 50.2963i) q^{13} +(36.2632 + 21.8189i) q^{14} +(10.6558 + 6.78839i) q^{15} +(-33.0705 + 7.27937i) q^{16} +(-68.4059 + 46.3803i) q^{17} +(-60.8321 - 9.78436i) q^{18} +(61.8020 + 116.571i) q^{19} +(-2.85100 - 6.16233i) q^{20} +(-7.96598 - 96.0364i) q^{21} +(0.791607 - 4.82859i) q^{22} +(25.7877 + 24.4274i) q^{23} +(95.3859 + 85.3149i) q^{24} +(94.8050 - 72.0689i) q^{25} +(107.292 - 141.141i) q^{26} +(62.9039 + 125.404i) q^{27} +(-24.2582 + 45.7557i) q^{28} +(152.730 + 8.28078i) q^{29} +(14.1519 - 25.1194i) q^{30} +(194.084 + 102.897i) q^{31} +(-32.0376 - 115.389i) q^{32} +(-9.97392 + 4.96539i) q^{33} +(114.136 + 150.143i) q^{34} +(43.4499 + 12.0638i) q^{35} +(7.92545 - 74.9793i) q^{36} +(-246.655 - 40.4371i) q^{37} +(257.989 - 155.227i) q^{38} +(-403.564 - 10.3225i) q^{39} +(-52.9080 + 28.0500i) q^{40} +(248.110 + 261.926i) q^{41} +(-217.849 + 30.0165i) q^{42} +(16.9639 + 77.0678i) q^{43} +(5.95252 + 0.647376i) q^{44} +(-65.2436 + 7.29510i) q^{45} +(52.4755 - 61.7790i) q^{46} +(132.324 + 44.5851i) q^{47} +(110.029 - 137.307i) q^{48} +(-0.348819 - 0.875469i) q^{49} +(-175.933 - 207.124i) q^{50} +(125.432 - 410.719i) q^{51} +(179.569 + 121.751i) q^{52} +(-362.884 - 144.586i) q^{53} +(277.980 - 158.829i) q^{54} +(-0.563687 - 5.18302i) q^{55} +(414.536 + 191.785i) q^{56} +(-630.193 - 269.962i) q^{57} -349.042i q^{58} +(-159.879 - 424.049i) q^{59} +(31.6311 + 15.6281i) q^{60} +(-692.065 + 37.5227i) q^{61} +(210.488 - 454.962i) q^{62} +(345.450 + 362.489i) q^{63} +(-515.690 + 173.756i) q^{64} +(69.9212 - 175.489i) q^{65} +(12.5466 + 22.1137i) q^{66} +(9.07848 - 1.48834i) q^{67} +(-175.899 + 149.410i) q^{68} +(-183.983 - 14.7016i) q^{69} +(22.1212 - 100.498i) q^{70} +(-268.433 + 796.682i) q^{71} +(-664.098 - 33.9952i) q^{72} +(17.0453 - 28.3295i) q^{73} +(-61.6691 + 567.038i) q^{74} +(-148.433 + 600.733i) q^{75} +(206.764 + 304.955i) q^{76} +(-28.8696 + 27.3467i) q^{77} +(26.3370 + 920.858i) q^{78} +(702.719 - 325.112i) q^{79} +(42.4484 + 70.5498i) q^{80} +(-663.459 - 302.097i) q^{81} +(566.186 - 597.716i) q^{82} +(-292.154 + 1052.24i) q^{83} +(-51.1098 - 264.203i) q^{84} +(159.979 + 121.613i) q^{85} +(173.515 - 48.1761i) q^{86} +(-644.806 + 464.641i) q^{87} +(2.85897 - 52.7307i) q^{88} +(58.0386 - 1070.46i) q^{89} +(24.6835 + 147.766i) q^{90} +(-1388.32 + 385.466i) q^{91} +(78.9645 + 60.0273i) q^{92} +(-1120.68 + 216.795i) q^{93} +(85.2460 - 307.028i) q^{94} +(220.622 - 232.908i) q^{95} +(505.940 + 362.259i) q^{96} +(-718.000 - 1193.33i) q^{97} +(-1.95179 + 0.902996i) q^{98} +(24.1499 - 52.6156i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624 q - 21 q^{3} - 278 q^{4} - 29 q^{6} - 42 q^{7} - 25 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1624 q - 21 q^{3} - 278 q^{4} - 29 q^{6} - 42 q^{7} - 25 q^{9} - 58 q^{10} - 57 q^{12} - 58 q^{13} - 11 q^{15} - 926 q^{16} - 29 q^{18} + 126 q^{19} + 159 q^{21} + 2 q^{22} - 29 q^{24} + 656 q^{25} - 99 q^{27} - 54 q^{28} - 29 q^{30} - 58 q^{31} - 29 q^{33} - 58 q^{34} + 859 q^{36} - 58 q^{37} - 29 q^{39} - 58 q^{40} - 29 q^{42} - 58 q^{43} + 1703 q^{45} + 602 q^{46} + 9507 q^{48} - 1192 q^{49} + 1511 q^{51} - 58 q^{52} - 7743 q^{54} - 58 q^{55} - 7441 q^{57} - 18722 q^{60} - 58 q^{61} - 3251 q^{63} - 4634 q^{64} - 1751 q^{66} - 58 q^{67} + 6003 q^{69} - 58 q^{70} + 21547 q^{72} - 58 q^{73} + 3869 q^{75} + 5622 q^{76} - 3253 q^{78} + 1446 q^{79} + 247 q^{81} - 58 q^{82} + 3303 q^{84} + 790 q^{85} - 2199 q^{87} - 5818 q^{88} - 29 q^{90} - 58 q^{91} - 29 q^{93} - 946 q^{94} - 29 q^{96} - 58 q^{97} - 29 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{57}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.123545 2.27865i −0.0436797 0.805625i −0.935520 0.353274i \(-0.885068\pi\)
0.891840 0.452351i \(-0.149415\pi\)
\(3\) −4.04503 + 3.26155i −0.778466 + 0.627686i
\(4\) 2.77611 0.301920i 0.347014 0.0377400i
\(5\) −0.776377 2.30421i −0.0694413 0.206094i 0.907313 0.420455i \(-0.138130\pi\)
−0.976755 + 0.214361i \(0.931233\pi\)
\(6\) 7.93169 + 8.81427i 0.539683 + 0.599735i
\(7\) −10.4076 + 15.3501i −0.561957 + 0.828825i −0.997450 0.0713670i \(-0.977264\pi\)
0.435493 + 0.900192i \(0.356574\pi\)
\(8\) −3.98444 24.3040i −0.176089 1.07409i
\(9\) 5.72454 26.3862i 0.212020 0.977265i
\(10\) −5.15457 + 2.05377i −0.163002 + 0.0649458i
\(11\) 2.09406 + 0.460938i 0.0573985 + 0.0126344i 0.243577 0.969882i \(-0.421679\pi\)
−0.186178 + 0.982516i \(0.559610\pi\)
\(12\) −10.2447 + 10.2757i −0.246450 + 0.247195i
\(13\) 59.2134 + 50.2963i 1.26330 + 1.07305i 0.993930 + 0.110016i \(0.0350902\pi\)
0.269367 + 0.963038i \(0.413186\pi\)
\(14\) 36.2632 + 21.8189i 0.692269 + 0.416524i
\(15\) 10.6558 + 6.78839i 0.183420 + 0.116850i
\(16\) −33.0705 + 7.27937i −0.516727 + 0.113740i
\(17\) −68.4059 + 46.3803i −0.975933 + 0.661699i −0.941254 0.337699i \(-0.890351\pi\)
−0.0346793 + 0.999398i \(0.511041\pi\)
\(18\) −60.8321 9.78436i −0.796570 0.128122i
\(19\) 61.8020 + 116.571i 0.746229 + 1.40754i 0.907253 + 0.420586i \(0.138176\pi\)
−0.161024 + 0.986951i \(0.551480\pi\)
\(20\) −2.85100 6.16233i −0.0318751 0.0688969i
\(21\) −7.96598 96.0364i −0.0827771 0.997946i
\(22\) 0.791607 4.82859i 0.00767142 0.0467936i
\(23\) 25.7877 + 24.4274i 0.233787 + 0.221455i 0.795620 0.605796i \(-0.207145\pi\)
−0.561833 + 0.827250i \(0.689904\pi\)
\(24\) 95.3859 + 85.3149i 0.811274 + 0.725618i
\(25\) 94.8050 72.0689i 0.758440 0.576551i
\(26\) 107.292 141.141i 0.809299 1.06461i
\(27\) 62.9039 + 125.404i 0.448365 + 0.893850i
\(28\) −24.2582 + 45.7557i −0.163727 + 0.308822i
\(29\) 152.730 + 8.28078i 0.977974 + 0.0530242i 0.536190 0.844097i \(-0.319863\pi\)
0.441784 + 0.897121i \(0.354346\pi\)
\(30\) 14.1519 25.1194i 0.0861258 0.152872i
\(31\) 194.084 + 102.897i 1.12447 + 0.596156i 0.923560 0.383454i \(-0.125266\pi\)
0.200909 + 0.979610i \(0.435610\pi\)
\(32\) −32.0376 115.389i −0.176984 0.637440i
\(33\) −9.97392 + 4.96539i −0.0526132 + 0.0261928i
\(34\) 114.136 + 150.143i 0.575710 + 0.757334i
\(35\) 43.4499 + 12.0638i 0.209839 + 0.0582616i
\(36\) 7.92545 74.9793i 0.0366919 0.347126i
\(37\) −246.655 40.4371i −1.09594 0.179671i −0.413424 0.910539i \(-0.635667\pi\)
−0.682519 + 0.730868i \(0.739116\pi\)
\(38\) 257.989 155.227i 1.10135 0.662661i
\(39\) −403.564 10.3225i −1.65697 0.0423826i
\(40\) −52.9080 + 28.0500i −0.209137 + 0.110877i
\(41\) 248.110 + 261.926i 0.945079 + 0.997708i 1.00000 0.000782822i \(-0.000249180\pi\)
−0.0549206 + 0.998491i \(0.517491\pi\)
\(42\) −217.849 + 30.0165i −0.800354 + 0.110277i
\(43\) 16.9639 + 77.0678i 0.0601621 + 0.273319i 0.997093 0.0761958i \(-0.0242774\pi\)
−0.936931 + 0.349515i \(0.886346\pi\)
\(44\) 5.95252 + 0.647376i 0.0203949 + 0.00221808i
\(45\) −65.2436 + 7.29510i −0.216132 + 0.0241664i
\(46\) 52.4755 61.7790i 0.168198 0.198018i
\(47\) 132.324 + 44.5851i 0.410669 + 0.138370i 0.517050 0.855955i \(-0.327030\pi\)
−0.106382 + 0.994325i \(0.533927\pi\)
\(48\) 110.029 137.307i 0.330861 0.412885i
\(49\) −0.348819 0.875469i −0.00101696 0.00255239i
\(50\) −175.933 207.124i −0.497613 0.585835i
\(51\) 125.432 410.719i 0.344392 1.12769i
\(52\) 179.569 + 121.751i 0.478879 + 0.324688i
\(53\) −362.884 144.586i −0.940490 0.374725i −0.151031 0.988529i \(-0.548259\pi\)
−0.789459 + 0.613804i \(0.789639\pi\)
\(54\) 277.980 158.829i 0.700524 0.400258i
\(55\) −0.563687 5.18302i −0.00138195 0.0127069i
\(56\) 414.536 + 191.785i 0.989191 + 0.457649i
\(57\) −630.193 269.962i −1.46441 0.627323i
\(58\) 349.042i 0.790197i
\(59\) −159.879 424.049i −0.352787 0.935704i
\(60\) 31.6311 + 15.6281i 0.0680594 + 0.0336264i
\(61\) −692.065 + 37.5227i −1.45262 + 0.0787588i −0.763463 0.645852i \(-0.776502\pi\)
−0.689159 + 0.724611i \(0.742020\pi\)
\(62\) 210.488 454.962i 0.431161 0.931940i
\(63\) 345.450 + 362.489i 0.690836 + 0.724909i
\(64\) −515.690 + 173.756i −1.00721 + 0.339368i
\(65\) 69.9212 175.489i 0.133425 0.334873i
\(66\) 12.5466 + 22.1137i 0.0233997 + 0.0412425i
\(67\) 9.07848 1.48834i 0.0165539 0.00271388i −0.153499 0.988149i \(-0.549054\pi\)
0.170053 + 0.985435i \(0.445606\pi\)
\(68\) −175.899 + 149.410i −0.313690 + 0.266451i
\(69\) −183.983 14.7016i −0.320999 0.0256503i
\(70\) 22.1212 100.498i 0.0377713 0.171597i
\(71\) −268.433 + 796.682i −0.448693 + 1.33167i 0.449974 + 0.893042i \(0.351433\pi\)
−0.898667 + 0.438631i \(0.855463\pi\)
\(72\) −664.098 33.9952i −1.08701 0.0556441i
\(73\) 17.0453 28.3295i 0.0273287 0.0454207i −0.842892 0.538083i \(-0.819149\pi\)
0.870221 + 0.492662i \(0.163976\pi\)
\(74\) −61.6691 + 567.038i −0.0968768 + 0.890768i
\(75\) −148.433 + 600.733i −0.228527 + 0.924888i
\(76\) 206.764 + 304.955i 0.312072 + 0.460272i
\(77\) −28.8696 + 27.3467i −0.0427272 + 0.0404734i
\(78\) 26.3370 + 920.858i 0.0382317 + 1.33675i
\(79\) 702.719 325.112i 1.00079 0.463012i 0.150090 0.988672i \(-0.452044\pi\)
0.850695 + 0.525660i \(0.176182\pi\)
\(80\) 42.4484 + 70.5498i 0.0593234 + 0.0985963i
\(81\) −663.459 302.097i −0.910095 0.414400i
\(82\) 566.186 597.716i 0.762498 0.804959i
\(83\) −292.154 + 1052.24i −0.386363 + 1.39155i 0.473395 + 0.880850i \(0.343028\pi\)
−0.859758 + 0.510702i \(0.829385\pi\)
\(84\) −51.1098 264.203i −0.0663873 0.343177i
\(85\) 159.979 + 121.613i 0.204143 + 0.155185i
\(86\) 173.515 48.1761i 0.217565 0.0604066i
\(87\) −644.806 + 464.641i −0.794603 + 0.572583i
\(88\) 2.85897 52.7307i 0.00346327 0.0638762i
\(89\) 58.0386 1070.46i 0.0691245 1.27493i −0.734014 0.679134i \(-0.762355\pi\)
0.803139 0.595792i \(-0.203162\pi\)
\(90\) 24.6835 + 147.766i 0.0289097 + 0.173066i
\(91\) −1388.32 + 385.466i −1.59929 + 0.444041i
\(92\) 78.9645 + 60.0273i 0.0894850 + 0.0680247i
\(93\) −1120.68 + 216.795i −1.24956 + 0.241726i
\(94\) 85.2460 307.028i 0.0935368 0.336889i
\(95\) 220.622 232.908i 0.238266 0.251535i
\(96\) 505.940 + 362.259i 0.537888 + 0.385135i
\(97\) −718.000 1193.33i −0.751566 1.24911i −0.962412 0.271593i \(-0.912450\pi\)
0.210847 0.977519i \(-0.432378\pi\)
\(98\) −1.95179 + 0.902996i −0.00201185 + 0.000930780i
\(99\) 24.1499 52.6156i 0.0245168 0.0534148i
\(100\) 241.430 228.695i 0.241430 0.228695i
\(101\) 491.783 + 725.326i 0.484498 + 0.714581i 0.988850 0.148918i \(-0.0475789\pi\)
−0.504352 + 0.863498i \(0.668269\pi\)
\(102\) −951.383 235.074i −0.923539 0.228194i
\(103\) 69.4900 638.950i 0.0664762 0.611239i −0.912757 0.408503i \(-0.866051\pi\)
0.979233 0.202736i \(-0.0649834\pi\)
\(104\) 986.470 1639.53i 0.930109 1.54585i
\(105\) −215.103 + 92.9158i −0.199923 + 0.0863586i
\(106\) −284.629 + 844.749i −0.260808 + 0.774050i
\(107\) −165.902 + 753.700i −0.149891 + 0.680962i 0.840402 + 0.541964i \(0.182319\pi\)
−0.990293 + 0.138998i \(0.955612\pi\)
\(108\) 212.490 + 329.143i 0.189323 + 0.293257i
\(109\) 564.125 479.172i 0.495719 0.421068i −0.364337 0.931267i \(-0.618704\pi\)
0.860056 + 0.510200i \(0.170428\pi\)
\(110\) −11.7406 + 1.92478i −0.0101766 + 0.00166837i
\(111\) 1129.62 640.911i 0.965932 0.548041i
\(112\) 232.446 583.395i 0.196108 0.492193i
\(113\) 1894.56 638.353i 1.57722 0.531427i 0.611550 0.791206i \(-0.290546\pi\)
0.965668 + 0.259779i \(0.0836499\pi\)
\(114\) −537.293 + 1469.34i −0.441422 + 1.20716i
\(115\) 36.2647 78.3849i 0.0294061 0.0635603i
\(116\) 426.496 23.1239i 0.341372 0.0185086i
\(117\) 1666.10 1274.49i 1.31650 1.00707i
\(118\) −946.508 + 416.697i −0.738417 + 0.325086i
\(119\) 1532.74i 1.18073i
\(120\) 122.528 286.025i 0.0932100 0.217587i
\(121\) −1203.81 556.942i −0.904440 0.418439i
\(122\) 171.002 + 1572.34i 0.126900 + 1.16683i
\(123\) −1857.90 250.277i −1.36196 0.183469i
\(124\) 569.866 + 227.055i 0.412705 + 0.164437i
\(125\) −491.230 333.063i −0.351496 0.238320i
\(126\) 783.307 831.945i 0.553830 0.588219i
\(127\) 630.628 + 742.433i 0.440624 + 0.518742i 0.936983 0.349375i \(-0.113606\pi\)
−0.496359 + 0.868117i \(0.665330\pi\)
\(128\) 105.037 + 263.622i 0.0725315 + 0.182040i
\(129\) −319.980 256.413i −0.218393 0.175007i
\(130\) −408.517 137.645i −0.275610 0.0928638i
\(131\) −44.2440 + 52.0880i −0.0295085 + 0.0347401i −0.776718 0.629848i \(-0.783117\pi\)
0.747210 + 0.664588i \(0.231393\pi\)
\(132\) −26.1896 + 16.7958i −0.0172690 + 0.0110749i
\(133\) −2432.58 264.559i −1.58595 0.172483i
\(134\) −4.51301 20.5028i −0.00290944 0.0132177i
\(135\) 240.119 242.304i 0.153083 0.154476i
\(136\) 1399.79 + 1477.74i 0.882579 + 0.931727i
\(137\) −764.827 + 405.485i −0.476960 + 0.252868i −0.689502 0.724284i \(-0.742171\pi\)
0.212542 + 0.977152i \(0.431826\pi\)
\(138\) −10.7697 + 421.050i −0.00664333 + 0.259725i
\(139\) 49.1259 29.5581i 0.0299770 0.0180366i −0.500486 0.865744i \(-0.666845\pi\)
0.530463 + 0.847708i \(0.322018\pi\)
\(140\) 124.264 + 20.3721i 0.0750160 + 0.0122982i
\(141\) −680.671 + 251.233i −0.406545 + 0.150054i
\(142\) 1848.53 + 513.240i 1.09243 + 0.303311i
\(143\) 100.813 + 132.617i 0.0589540 + 0.0775527i
\(144\) 2.76109 + 914.275i 0.00159785 + 0.529094i
\(145\) −99.4955 358.350i −0.0569838 0.205237i
\(146\) −66.6588 35.3403i −0.0377858 0.0200327i
\(147\) 4.26637 + 2.40361i 0.00239377 + 0.00134861i
\(148\) −696.952 37.7876i −0.387088 0.0209873i
\(149\) 660.198 1245.27i 0.362990 0.684672i −0.632998 0.774153i \(-0.718176\pi\)
0.995989 + 0.0894811i \(0.0285209\pi\)
\(150\) 1387.20 + 264.009i 0.755095 + 0.143708i
\(151\) 1932.22 2541.79i 1.04134 1.36985i 0.114911 0.993376i \(-0.463342\pi\)
0.926425 0.376479i \(-0.122865\pi\)
\(152\) 2586.89 1966.50i 1.38043 1.04937i
\(153\) 832.207 + 2070.48i 0.439738 + 1.09404i
\(154\) 65.8804 + 62.4052i 0.0344727 + 0.0326543i
\(155\) 86.4131 527.097i 0.0447798 0.273145i
\(156\) −1123.46 + 93.1879i −0.576593 + 0.0478270i
\(157\) 0.334293 + 0.722562i 0.000169933 + 0.000367304i 0.907660 0.419705i \(-0.137867\pi\)
−0.907490 + 0.420073i \(0.862005\pi\)
\(158\) −827.635 1561.09i −0.416728 0.786033i
\(159\) 1939.45 598.710i 0.967350 0.298621i
\(160\) −241.007 + 163.407i −0.119083 + 0.0807401i
\(161\) −643.349 + 141.612i −0.314925 + 0.0693203i
\(162\) −606.408 + 1549.12i −0.294098 + 0.751296i
\(163\) 1628.81 + 980.024i 0.782690 + 0.470929i 0.849987 0.526804i \(-0.176610\pi\)
−0.0672968 + 0.997733i \(0.521437\pi\)
\(164\) 767.862 + 652.227i 0.365609 + 0.310551i
\(165\) 19.1848 + 19.1270i 0.00905173 + 0.00902444i
\(166\) 2433.79 + 535.719i 1.13795 + 0.250481i
\(167\) −3882.08 + 1546.76i −1.79883 + 0.716720i −0.806784 + 0.590846i \(0.798794\pi\)
−0.992046 + 0.125874i \(0.959827\pi\)
\(168\) −2302.33 + 576.256i −1.05731 + 0.264638i
\(169\) 621.074 + 3788.38i 0.282692 + 1.72434i
\(170\) 257.348 379.560i 0.116104 0.171241i
\(171\) 3429.65 963.402i 1.53375 0.430837i
\(172\) 70.3620 + 208.827i 0.0311922 + 0.0925750i
\(173\) −1194.62 + 129.922i −0.525000 + 0.0570972i −0.366782 0.930307i \(-0.619541\pi\)
−0.158218 + 0.987404i \(0.550575\pi\)
\(174\) 1138.42 + 1411.88i 0.495995 + 0.615142i
\(175\) 119.569 + 2205.33i 0.0516491 + 0.952612i
\(176\) −72.6071 −0.0310964
\(177\) 2029.77 + 1193.84i 0.861961 + 0.506974i
\(178\) −2446.37 −1.03013
\(179\) −62.5855 1154.32i −0.0261333 0.482000i −0.982081 0.188462i \(-0.939650\pi\)
0.955947 0.293538i \(-0.0948329\pi\)
\(180\) −178.921 + 39.9504i −0.0740888 + 0.0165429i
\(181\) 3783.06 411.432i 1.55355 0.168959i 0.709299 0.704908i \(-0.249012\pi\)
0.844250 + 0.535949i \(0.180046\pi\)
\(182\) 1049.86 + 3115.88i 0.427588 + 1.26903i
\(183\) 2677.04 2408.99i 1.08138 0.973101i
\(184\) 490.933 724.072i 0.196696 0.290105i
\(185\) 98.3223 + 599.740i 0.0390746 + 0.238344i
\(186\) 632.454 + 2526.85i 0.249321 + 0.996118i
\(187\) −164.625 + 65.5925i −0.0643773 + 0.0256503i
\(188\) 380.807 + 83.8220i 0.147730 + 0.0325178i
\(189\) −2579.63 339.573i −0.992808 0.130689i
\(190\) −557.972 473.946i −0.213050 0.180966i
\(191\) −1490.13 896.579i −0.564512 0.339655i 0.204524 0.978862i \(-0.434435\pi\)
−0.769035 + 0.639206i \(0.779263\pi\)
\(192\) 1519.27 2384.80i 0.571061 0.896396i
\(193\) −4490.47 + 988.428i −1.67477 + 0.368646i −0.948010 0.318242i \(-0.896908\pi\)
−0.726764 + 0.686887i \(0.758977\pi\)
\(194\) −2630.47 + 1783.50i −0.973488 + 0.660041i
\(195\) 289.533 + 937.910i 0.106328 + 0.344436i
\(196\) −1.23268 2.32508i −0.000449228 0.000847334i
\(197\) 1678.18 + 3627.32i 0.606929 + 1.31186i 0.930722 + 0.365728i \(0.119180\pi\)
−0.323792 + 0.946128i \(0.604958\pi\)
\(198\) −122.876 48.5289i −0.0441032 0.0174182i
\(199\) −230.334 + 1404.98i −0.0820500 + 0.500483i 0.913546 + 0.406735i \(0.133333\pi\)
−0.995596 + 0.0937474i \(0.970115\pi\)
\(200\) −2129.31 2016.99i −0.752824 0.713112i
\(201\) −31.8684 + 35.6303i −0.0111832 + 0.0125033i
\(202\) 1592.01 1210.21i 0.554521 0.421536i
\(203\) −1716.66 + 2258.23i −0.593528 + 0.780772i
\(204\) 224.209 1178.07i 0.0769497 0.404322i
\(205\) 410.905 775.050i 0.139995 0.264058i
\(206\) −1464.53 79.4045i −0.495333 0.0268562i
\(207\) 792.167 540.602i 0.265987 0.181519i
\(208\) −2324.34 1232.29i −0.774828 0.410788i
\(209\) 75.6853 + 272.594i 0.0250491 + 0.0902187i
\(210\) 238.298 + 478.666i 0.0783052 + 0.157291i
\(211\) 555.460 + 730.695i 0.181229 + 0.238403i 0.877733 0.479150i \(-0.159055\pi\)
−0.696504 + 0.717553i \(0.745262\pi\)
\(212\) −1051.06 291.825i −0.340505 0.0945408i
\(213\) −1512.60 4098.11i −0.486580 1.31830i
\(214\) 1737.92 + 284.917i 0.555147 + 0.0910117i
\(215\) 164.410 98.9220i 0.0521518 0.0313787i
\(216\) 2797.17 2028.48i 0.881128 0.638984i
\(217\) −3599.42 + 1908.29i −1.12601 + 0.596974i
\(218\) −1161.56 1226.25i −0.360876 0.380972i
\(219\) 23.4494 + 170.188i 0.00723545 + 0.0525124i
\(220\) −3.12972 14.2184i −0.000959115 0.00435731i
\(221\) −6383.31 694.227i −1.94293 0.211307i
\(222\) −1599.97 2494.82i −0.483707 0.754241i
\(223\) 3184.41 3748.97i 0.956250 1.12578i −0.0357266 0.999362i \(-0.511375\pi\)
0.991976 0.126423i \(-0.0403496\pi\)
\(224\) 2104.66 + 709.143i 0.627784 + 0.211525i
\(225\) −1358.91 2914.10i −0.402639 0.863438i
\(226\) −1688.65 4238.19i −0.497023 1.24743i
\(227\) 2575.95 + 3032.64i 0.753178 + 0.886710i 0.996531 0.0832278i \(-0.0265229\pi\)
−0.243352 + 0.969938i \(0.578247\pi\)
\(228\) −1830.99 559.178i −0.531844 0.162423i
\(229\) 582.500 + 394.945i 0.168090 + 0.113968i 0.642332 0.766427i \(-0.277967\pi\)
−0.474241 + 0.880395i \(0.657278\pi\)
\(230\) −183.092 72.9506i −0.0524902 0.0209140i
\(231\) 27.5856 204.778i 0.00785713 0.0583264i
\(232\) −407.287 3744.94i −0.115257 1.05977i
\(233\) 2756.04 + 1275.08i 0.774909 + 0.358511i 0.767158 0.641459i \(-0.221670\pi\)
0.00775180 + 0.999970i \(0.497532\pi\)
\(234\) −3109.96 3639.00i −0.868823 1.01662i
\(235\) 339.517i 0.0942452i
\(236\) −571.871 1128.94i −0.157736 0.311388i
\(237\) −1782.15 + 3607.04i −0.488451 + 0.988619i
\(238\) −3492.59 + 189.363i −0.951222 + 0.0515737i
\(239\) 1406.54 3040.20i 0.380677 0.822820i −0.618633 0.785680i \(-0.712313\pi\)
0.999310 0.0371397i \(-0.0118247\pi\)
\(240\) −401.807 146.928i −0.108069 0.0395174i
\(241\) 420.219 141.588i 0.112318 0.0378444i −0.262581 0.964910i \(-0.584574\pi\)
0.374899 + 0.927065i \(0.377677\pi\)
\(242\) −1120.35 + 2811.87i −0.297599 + 0.746917i
\(243\) 3669.02 941.914i 0.968591 0.248658i
\(244\) −1909.92 + 313.116i −0.501108 + 0.0821524i
\(245\) −1.74645 + 1.48345i −0.000455414 + 0.000386832i
\(246\) −340.760 + 4264.42i −0.0883172 + 1.10524i
\(247\) −2203.58 + 10011.0i −0.567654 + 2.57888i
\(248\) 1727.49 5127.00i 0.442321 1.31276i
\(249\) −2250.18 5209.24i −0.572688 1.32579i
\(250\) −698.245 + 1160.49i −0.176643 + 0.293584i
\(251\) 178.616 1642.35i 0.0449169 0.413005i −0.949996 0.312263i \(-0.898913\pi\)
0.994913 0.100741i \(-0.0321215\pi\)
\(252\) 1068.45 + 902.011i 0.267088 + 0.225481i
\(253\) 42.7415 + 63.0390i 0.0106211 + 0.0156649i
\(254\) 1613.83 1528.71i 0.398665 0.377636i
\(255\) −1043.76 + 29.8522i −0.256326 + 0.00733104i
\(256\) −3363.32 + 1556.04i −0.821123 + 0.379892i
\(257\) 458.450 + 761.949i 0.111274 + 0.184938i 0.907490 0.420074i \(-0.137996\pi\)
−0.796216 + 0.605012i \(0.793168\pi\)
\(258\) −544.744 + 760.802i −0.131451 + 0.183587i
\(259\) 3187.80 3365.32i 0.764789 0.807378i
\(260\) 141.125 508.288i 0.0336624 0.121241i
\(261\) 1092.81 3982.55i 0.259169 0.944498i
\(262\) 124.157 + 94.3814i 0.0292764 + 0.0222553i
\(263\) 1017.26 282.440i 0.238504 0.0662204i −0.146219 0.989252i \(-0.546711\pi\)
0.384724 + 0.923032i \(0.374297\pi\)
\(264\) 160.419 + 222.622i 0.0373982 + 0.0518993i
\(265\) −51.4215 + 948.413i −0.0119200 + 0.219851i
\(266\) −302.305 + 5575.69i −0.0696824 + 1.28522i
\(267\) 3256.59 + 4519.34i 0.746443 + 1.03588i
\(268\) 24.7535 6.87278i 0.00564202 0.00156650i
\(269\) −5656.16 4299.70i −1.28202 0.974564i −0.999885 0.0151881i \(-0.995165\pi\)
−0.282132 0.959376i \(-0.591042\pi\)
\(270\) −581.793 517.212i −0.131136 0.116580i
\(271\) 546.257 1967.44i 0.122446 0.441009i −0.876757 0.480933i \(-0.840298\pi\)
0.999203 + 0.0399242i \(0.0127117\pi\)
\(272\) 1924.60 2031.77i 0.429029 0.452921i
\(273\) 4358.59 6087.30i 0.966277 1.34953i
\(274\) 1018.45 + 1692.68i 0.224551 + 0.373206i
\(275\) 231.747 107.218i 0.0508177 0.0235108i
\(276\) −515.196 + 14.7348i −0.112359 + 0.00321353i
\(277\) 4850.70 4594.82i 1.05217 0.996665i 0.0521683 0.998638i \(-0.483387\pi\)
0.999998 + 0.00197338i \(0.000628146\pi\)
\(278\) −73.4218 108.289i −0.0158401 0.0233624i
\(279\) 3826.10 4532.10i 0.821012 0.972507i
\(280\) 120.075 1104.07i 0.0256281 0.235647i
\(281\) −2828.10 + 4700.33i −0.600392 + 0.997858i 0.396420 + 0.918069i \(0.370252\pi\)
−0.996812 + 0.0797893i \(0.974575\pi\)
\(282\) 656.567 + 1519.97i 0.138645 + 0.320969i
\(283\) −1474.83 + 4377.13i −0.309785 + 0.919410i 0.673792 + 0.738921i \(0.264665\pi\)
−0.983577 + 0.180489i \(0.942232\pi\)
\(284\) −504.667 + 2292.72i −0.105445 + 0.479043i
\(285\) −132.781 + 1661.69i −0.0275975 + 0.345368i
\(286\) 289.734 246.102i 0.0599033 0.0508823i
\(287\) −6602.81 + 1082.48i −1.35802 + 0.222636i
\(288\) −3228.07 + 184.800i −0.660472 + 0.0378105i
\(289\) 709.741 1781.32i 0.144462 0.362572i
\(290\) −804.264 + 270.988i −0.162855 + 0.0548723i
\(291\) 6796.43 + 2485.24i 1.36912 + 0.500644i
\(292\) 38.7663 83.7920i 0.00776927 0.0167930i
\(293\) −2900.69 + 157.271i −0.578362 + 0.0313579i −0.341000 0.940063i \(-0.610766\pi\)
−0.237362 + 0.971421i \(0.576283\pi\)
\(294\) 4.94990 10.0185i 0.000981918 0.00198739i
\(295\) −852.971 + 697.616i −0.168345 + 0.137684i
\(296\) 6155.83i 1.20879i
\(297\) 73.9214 + 291.598i 0.0144423 + 0.0569705i
\(298\) −2919.09 1350.52i −0.567444 0.262528i
\(299\) 298.368 + 2743.45i 0.0577093 + 0.530629i
\(300\) −230.692 + 1712.52i −0.0443967 + 0.329574i
\(301\) −1359.55 541.693i −0.260342 0.103730i
\(302\) −6030.58 4088.83i −1.14907 0.779092i
\(303\) −4354.97 1329.99i −0.825697 0.252165i
\(304\) −2892.39 3405.18i −0.545690 0.642436i
\(305\) 623.764 + 1565.53i 0.117104 + 0.293908i
\(306\) 4615.08 2152.11i 0.862178 0.402052i
\(307\) −1282.24 432.039i −0.238377 0.0803184i 0.197578 0.980287i \(-0.436693\pi\)
−0.435954 + 0.899969i \(0.643589\pi\)
\(308\) −71.8887 + 84.6339i −0.0132995 + 0.0156574i
\(309\) 1802.88 + 2811.22i 0.331917 + 0.517555i
\(310\) −1211.75 131.785i −0.222008 0.0241448i
\(311\) 397.087 + 1803.99i 0.0724012 + 0.328922i 0.998874 0.0474395i \(-0.0151061\pi\)
−0.926473 + 0.376361i \(0.877175\pi\)
\(312\) 1357.10 + 9849.35i 0.246252 + 1.78721i
\(313\) −2119.85 2237.90i −0.382815 0.404133i 0.505901 0.862592i \(-0.331160\pi\)
−0.888716 + 0.458459i \(0.848402\pi\)
\(314\) 1.60517 0.851006i 0.000288487 0.000152946i
\(315\) 567.049 1077.42i 0.101427 0.192716i
\(316\) 1852.67 1114.71i 0.329812 0.198441i
\(317\) 8106.93 + 1329.06i 1.43637 + 0.235481i 0.829139 0.559042i \(-0.188831\pi\)
0.607234 + 0.794523i \(0.292279\pi\)
\(318\) −1603.86 4345.37i −0.282830 0.766277i
\(319\) 316.009 + 87.7396i 0.0554643 + 0.0153996i
\(320\) 800.740 + 1053.36i 0.139884 + 0.184014i
\(321\) −1787.15 3589.84i −0.310745 0.624190i
\(322\) 402.167 + 1448.47i 0.0696021 + 0.250684i
\(323\) −9634.22 5107.74i −1.65964 0.879883i
\(324\) −1933.05 638.344i −0.331455 0.109455i
\(325\) 9238.53 + 500.899i 1.57681 + 0.0854919i
\(326\) 2031.90 3832.57i 0.345204 0.651125i
\(327\) −719.058 + 3778.19i −0.121602 + 0.638943i
\(328\) 5377.28 7073.69i 0.905215 1.19079i
\(329\) −2061.56 + 1567.16i −0.345463 + 0.262614i
\(330\) 41.2135 46.0785i 0.00687494 0.00768649i
\(331\) 3203.08 + 3034.12i 0.531895 + 0.503838i 0.905844 0.423612i \(-0.139238\pi\)
−0.373949 + 0.927449i \(0.621996\pi\)
\(332\) −493.359 + 3009.36i −0.0815560 + 0.497470i
\(333\) −2478.97 + 6276.81i −0.407948 + 1.03293i
\(334\) 4004.15 + 8654.82i 0.655980 + 1.41788i
\(335\) −10.4778 19.7632i −0.00170884 0.00322322i
\(336\) 962.524 + 3117.99i 0.156280 + 0.506250i
\(337\) 827.961 561.371i 0.133834 0.0907414i −0.492433 0.870350i \(-0.663892\pi\)
0.626267 + 0.779609i \(0.284582\pi\)
\(338\) 8555.67 1883.25i 1.37683 0.303062i
\(339\) −5581.55 + 8761.38i −0.894242 + 1.40370i
\(340\) 480.836 + 289.309i 0.0766971 + 0.0461471i
\(341\) 358.995 + 304.933i 0.0570108 + 0.0484254i
\(342\) −2618.97 7695.95i −0.414087 1.21681i
\(343\) −6195.38 1363.71i −0.975274 0.214674i
\(344\) 1805.46 719.362i 0.282977 0.112748i
\(345\) 108.965 + 435.349i 0.0170042 + 0.0679374i
\(346\) 443.637 + 2706.07i 0.0689309 + 0.420460i
\(347\) 3678.77 5425.78i 0.569126 0.839398i −0.428824 0.903388i \(-0.641072\pi\)
0.997951 + 0.0639895i \(0.0203824\pi\)
\(348\) −1649.77 + 1484.58i −0.254129 + 0.228683i
\(349\) −1043.84 3098.01i −0.160102 0.475166i 0.837337 0.546687i \(-0.184111\pi\)
−0.997439 + 0.0715210i \(0.977215\pi\)
\(350\) 5010.40 544.914i 0.765192 0.0832196i
\(351\) −2582.59 + 10589.4i −0.392731 + 1.61032i
\(352\) −13.9016 256.399i −0.00210499 0.0388242i
\(353\) −6644.69 −1.00187 −0.500937 0.865484i \(-0.667011\pi\)
−0.500937 + 0.865484i \(0.667011\pi\)
\(354\) 2469.58 4772.64i 0.370781 0.716562i
\(355\) 2044.13 0.305608
\(356\) −162.072 2989.24i −0.0241286 0.445026i
\(357\) 4999.12 + 6199.99i 0.741125 + 0.919155i
\(358\) −2622.56 + 285.221i −0.387170 + 0.0421073i
\(359\) 32.4883 + 96.4219i 0.00477623 + 0.0141754i 0.950015 0.312205i \(-0.101068\pi\)
−0.945239 + 0.326380i \(0.894171\pi\)
\(360\) 437.259 + 1556.61i 0.0640154 + 0.227891i
\(361\) −5920.11 + 8731.51i −0.863115 + 1.27300i
\(362\) −1404.89 8569.44i −0.203976 1.24420i
\(363\) 6685.94 1673.44i 0.966725 0.241964i
\(364\) −3737.76 + 1489.26i −0.538219 + 0.214446i
\(365\) −78.5105 17.2815i −0.0112587 0.00247823i
\(366\) −5819.98 5802.43i −0.831189 0.828683i
\(367\) 2205.81 + 1873.63i 0.313740 + 0.266493i 0.790395 0.612597i \(-0.209875\pi\)
−0.476656 + 0.879090i \(0.658151\pi\)
\(368\) −1030.63 620.108i −0.145992 0.0878406i
\(369\) 8331.55 5047.26i 1.17540 0.712059i
\(370\) 1354.45 298.137i 0.190310 0.0418903i
\(371\) 5996.16 4065.50i 0.839097 0.568922i
\(372\) −3045.68 + 940.202i −0.424492 + 0.131041i
\(373\) −2675.92 5047.32i −0.371458 0.700644i 0.625362 0.780335i \(-0.284951\pi\)
−0.996820 + 0.0796911i \(0.974607\pi\)
\(374\) 169.801 + 367.019i 0.0234765 + 0.0507436i
\(375\) 3073.34 254.926i 0.423218 0.0351049i
\(376\) 556.360 3393.65i 0.0763087 0.465463i
\(377\) 8627.18 + 8172.09i 1.17857 + 1.11640i
\(378\) −455.068 + 5920.04i −0.0619210 + 0.805540i
\(379\) 4009.31 3047.80i 0.543389 0.413074i −0.297145 0.954832i \(-0.596034\pi\)
0.840534 + 0.541759i \(0.182241\pi\)
\(380\) 542.151 713.188i 0.0731888 0.0962783i
\(381\) −4972.39 946.336i −0.668618 0.127250i
\(382\) −1858.89 + 3506.25i −0.248977 + 0.469621i
\(383\) 6800.76 + 368.726i 0.907317 + 0.0491933i 0.501887 0.864933i \(-0.332639\pi\)
0.405430 + 0.914126i \(0.367122\pi\)
\(384\) −1284.70 723.778i −0.170727 0.0961852i
\(385\) 85.4262 + 45.2901i 0.0113084 + 0.00599532i
\(386\) 2807.06 + 10110.1i 0.370144 + 1.33314i
\(387\) 2130.63 6.43445i 0.279861 0.000845172i
\(388\) −2353.54 3096.03i −0.307945 0.405095i
\(389\) −937.690 260.348i −0.122218 0.0339336i 0.205881 0.978577i \(-0.433994\pi\)
−0.328099 + 0.944643i \(0.606408\pi\)
\(390\) 2101.40 775.619i 0.272842 0.100705i
\(391\) −2896.98 474.935i −0.374697 0.0614284i
\(392\) −19.8875 + 11.9659i −0.00256243 + 0.00154176i
\(393\) 9.08033 355.002i 0.00116550 0.0455661i
\(394\) 8058.06 4272.12i 1.03035 0.546259i
\(395\) −1294.70 1366.80i −0.164920 0.174104i
\(396\) 51.1572 153.358i 0.00649178 0.0194610i
\(397\) −1119.05 5083.89i −0.141470 0.642703i −0.992972 0.118352i \(-0.962239\pi\)
0.851502 0.524351i \(-0.175692\pi\)
\(398\) 3229.91 + 351.274i 0.406785 + 0.0442406i
\(399\) 10702.7 6863.84i 1.34287 0.861208i
\(400\) −2610.63 + 3073.48i −0.326329 + 0.384185i
\(401\) −12426.8 4187.08i −1.54755 0.521429i −0.589433 0.807818i \(-0.700649\pi\)
−0.958114 + 0.286389i \(0.907545\pi\)
\(402\) 85.1264 + 68.2151i 0.0105615 + 0.00846334i
\(403\) 6317.05 + 15854.6i 0.780830 + 1.95974i
\(404\) 1584.24 + 1865.11i 0.195096 + 0.229684i
\(405\) −181.000 + 1763.29i −0.0222073 + 0.216342i
\(406\) 5357.81 + 3632.68i 0.654935 + 0.444057i
\(407\) −497.873 198.371i −0.0606355 0.0241594i
\(408\) −10481.9 1412.01i −1.27189 0.171336i
\(409\) 370.383 + 3405.61i 0.0447781 + 0.411728i 0.994979 + 0.100089i \(0.0319126\pi\)
−0.950200 + 0.311639i \(0.899122\pi\)
\(410\) −1816.83 840.557i −0.218846 0.101249i
\(411\) 1771.23 4134.72i 0.212576 0.496231i
\(412\) 1794.78i 0.214617i
\(413\) 8173.14 + 1959.18i 0.973786 + 0.233427i
\(414\) −1329.71 1738.28i −0.157854 0.206357i
\(415\) 2651.41 143.755i 0.313621 0.0170040i
\(416\) 3906.59 8443.95i 0.460423 0.995189i
\(417\) −102.311 + 279.790i −0.0120148 + 0.0328570i
\(418\) 611.796 206.138i 0.0715883 0.0241209i
\(419\) 1469.09 3687.13i 0.171288 0.429901i −0.818123 0.575044i \(-0.804985\pi\)
0.989411 + 0.145143i \(0.0463643\pi\)
\(420\) −569.097 + 322.889i −0.0661169 + 0.0375127i
\(421\) 2919.99 478.708i 0.338033 0.0554176i 0.00962480 0.999954i \(-0.496936\pi\)
0.328408 + 0.944536i \(0.393488\pi\)
\(422\) 1596.37 1355.97i 0.184148 0.156416i
\(423\) 1933.92 3236.29i 0.222295 0.371995i
\(424\) −2068.13 + 9395.62i −0.236881 + 1.07616i
\(425\) −3142.64 + 9327.03i −0.358684 + 1.06453i
\(426\) −9151.30 + 3952.99i −1.04080 + 0.449584i
\(427\) 6626.76 11013.8i 0.751034 1.24823i
\(428\) −233.005 + 2142.44i −0.0263147 + 0.241960i
\(429\) −840.331 207.634i −0.0945724 0.0233675i
\(430\) −245.721 362.411i −0.0275575 0.0406442i
\(431\) −196.158 + 185.811i −0.0219225 + 0.0207661i −0.698582 0.715530i \(-0.746185\pi\)
0.676660 + 0.736296i \(0.263427\pi\)
\(432\) −2993.13 3689.27i −0.333349 0.410879i
\(433\) −11909.0 + 5509.67i −1.32173 + 0.611497i −0.948657 0.316306i \(-0.897557\pi\)
−0.373071 + 0.927803i \(0.621695\pi\)
\(434\) 4793.03 + 7966.07i 0.530121 + 0.881068i
\(435\) 1571.24 + 1125.03i 0.173184 + 0.124002i
\(436\) 1421.40 1500.56i 0.156130 0.164825i
\(437\) −1253.79 + 4515.75i −0.137247 + 0.494319i
\(438\) 384.901 74.4588i 0.0419892 0.00812278i
\(439\) −5369.78 4082.00i −0.583794 0.443789i 0.271129 0.962543i \(-0.412603\pi\)
−0.854923 + 0.518754i \(0.826396\pi\)
\(440\) −123.722 + 34.3512i −0.0134050 + 0.00372189i
\(441\) −25.0971 + 4.19233i −0.00270998 + 0.000452686i
\(442\) −793.276 + 14631.1i −0.0853672 + 1.57450i
\(443\) 685.708 12647.1i 0.0735417 1.35640i −0.696111 0.717934i \(-0.745088\pi\)
0.769653 0.638463i \(-0.220429\pi\)
\(444\) 2942.44 2120.29i 0.314509 0.226632i
\(445\) −2511.62 + 697.348i −0.267555 + 0.0742864i
\(446\) −8936.03 6792.99i −0.948729 0.721205i
\(447\) 1390.98 + 7190.41i 0.147184 + 0.760838i
\(448\) 2699.93 9724.26i 0.284731 1.02551i
\(449\) 9118.87 9626.68i 0.958455 1.01183i −0.0414648 0.999140i \(-0.513202\pi\)
0.999919 0.0126883i \(-0.00403893\pi\)
\(450\) −6472.34 + 3456.50i −0.678020 + 0.362091i
\(451\) 398.826 + 662.854i 0.0416407 + 0.0692074i
\(452\) 5066.79 2344.15i 0.527261 0.243937i
\(453\) 474.301 + 16583.7i 0.0491933 + 1.72002i
\(454\) 6592.08 6244.35i 0.681457 0.645511i
\(455\) 1966.05 + 2899.71i 0.202571 + 0.298771i
\(456\) −4050.20 + 16391.9i −0.415938 + 1.68337i
\(457\) 1888.48 17364.3i 0.193303 1.77739i −0.348915 0.937154i \(-0.613450\pi\)
0.542218 0.840238i \(-0.317585\pi\)
\(458\) 827.977 1376.11i 0.0844735 0.140396i
\(459\) −10119.3 5660.85i −1.02903 0.575655i
\(460\) 77.0089 228.554i 0.00780557 0.0231661i
\(461\) −1180.28 + 5362.08i −0.119243 + 0.541728i 0.878685 + 0.477401i \(0.158421\pi\)
−0.997929 + 0.0643272i \(0.979510\pi\)
\(462\) −470.026 37.5586i −0.0473324 0.00378222i
\(463\) 3601.00 3058.71i 0.361453 0.307021i −0.448196 0.893935i \(-0.647933\pi\)
0.809649 + 0.586915i \(0.199658\pi\)
\(464\) −5111.14 + 837.929i −0.511376 + 0.0838359i
\(465\) 1369.61 + 2413.96i 0.136590 + 0.240742i
\(466\) 2564.96 6437.58i 0.254978 0.639946i
\(467\) 12599.5 4245.26i 1.24847 0.420658i 0.383994 0.923336i \(-0.374548\pi\)
0.864474 + 0.502678i \(0.167652\pi\)
\(468\) 4240.48 4041.16i 0.418838 0.399151i
\(469\) −71.6391 + 154.845i −0.00705327 + 0.0152454i
\(470\) −773.640 + 41.9455i −0.0759263 + 0.00411660i
\(471\) −3.70890 1.83247i −0.000362839 0.000179269i
\(472\) −9669.06 + 5575.29i −0.942912 + 0.543694i
\(473\) 169.204i 0.0164482i
\(474\) 8439.37 + 3615.26i 0.817791 + 0.350326i
\(475\) 14260.3 + 6597.51i 1.37749 + 0.637293i
\(476\) −462.766 4255.06i −0.0445606 0.409728i
\(477\) −5892.42 + 8747.43i −0.565609 + 0.839659i
\(478\) −7101.32 2829.42i −0.679512 0.270742i
\(479\) −8701.51 5899.77i −0.830026 0.562771i 0.0705312 0.997510i \(-0.477531\pi\)
−0.900557 + 0.434738i \(0.856841\pi\)
\(480\) 441.920 1447.04i 0.0420225 0.137600i
\(481\) −12571.5 14800.3i −1.19170 1.40298i
\(482\) −374.547 940.041i −0.0353945 0.0888334i
\(483\) 2140.49 2671.14i 0.201648 0.251638i
\(484\) −3510.06 1182.68i −0.329645 0.111070i
\(485\) −2192.23 + 2580.89i −0.205245 + 0.241633i
\(486\) −2599.58 8244.05i −0.242633 0.769460i
\(487\) −1516.37 164.915i −0.141095 0.0153450i 0.0372991 0.999304i \(-0.488125\pi\)
−0.178394 + 0.983959i \(0.557090\pi\)
\(488\) 3669.44 + 16670.4i 0.340385 + 1.54638i
\(489\) −9785.00 + 1348.23i −0.904893 + 0.124681i
\(490\) 3.59602 + 3.79627i 0.000331534 + 0.000349996i
\(491\) 2205.10 1169.07i 0.202677 0.107453i −0.363978 0.931407i \(-0.618582\pi\)
0.566656 + 0.823955i \(0.308237\pi\)
\(492\) −5233.30 133.859i −0.479543 0.0122659i
\(493\) −10831.7 + 6517.22i −0.989524 + 0.595377i
\(494\) 23083.8 + 3784.39i 2.10241 + 0.344672i
\(495\) −139.987 14.7969i −0.0127110 0.00134357i
\(496\) −7167.49 1990.04i −0.648850 0.180152i
\(497\) −9435.37 12412.0i −0.851578 1.12023i
\(498\) −11592.0 + 5770.95i −1.04308 + 0.519282i
\(499\) 1756.22 + 6325.34i 0.157554 + 0.567457i 0.999606 + 0.0280613i \(0.00893337\pi\)
−0.842053 + 0.539395i \(0.818653\pi\)
\(500\) −1464.27 776.306i −0.130968 0.0694350i
\(501\) 10658.3 18918.3i 0.950454 1.68704i
\(502\) −3764.41 204.100i −0.334689 0.0181463i
\(503\) −2550.61 + 4810.96i −0.226096 + 0.426461i −0.970443 0.241331i \(-0.922416\pi\)
0.744347 + 0.667793i \(0.232761\pi\)
\(504\) 7433.49 9840.14i 0.656973 0.869672i
\(505\) 1289.49 1696.30i 0.113627 0.149474i
\(506\) 138.363 105.181i 0.0121561 0.00924085i
\(507\) −14868.3 13298.5i −1.30241 1.16490i
\(508\) 1974.85 + 1870.68i 0.172480 + 0.163382i
\(509\) 1824.45 11128.6i 0.158875 0.969093i −0.780238 0.625483i \(-0.784902\pi\)
0.939113 0.343610i \(-0.111650\pi\)
\(510\) 196.975 + 2374.69i 0.0171023 + 0.206182i
\(511\) 257.458 + 556.487i 0.0222882 + 0.0481752i
\(512\) 5024.58 + 9477.36i 0.433705 + 0.818055i
\(513\) −10730.8 + 15083.0i −0.923544 + 1.29811i
\(514\) 1679.58 1138.78i 0.144130 0.0977228i
\(515\) −1526.22 + 335.947i −0.130589 + 0.0287449i
\(516\) −965.717 615.222i −0.0823901 0.0524877i
\(517\) 256.544 + 154.357i 0.0218236 + 0.0131308i
\(518\) −8062.24 6848.13i −0.683850 0.580867i
\(519\) 4408.52 4421.85i 0.372856 0.373984i
\(520\) −4543.68 1000.14i −0.383180 0.0843442i
\(521\) 14568.1 5804.47i 1.22503 0.488097i 0.334230 0.942491i \(-0.391524\pi\)
0.890801 + 0.454394i \(0.150144\pi\)
\(522\) −9209.87 1998.10i −0.772232 0.167538i
\(523\) −2671.92 16298.0i −0.223394 1.36264i −0.825579 0.564286i \(-0.809152\pi\)
0.602186 0.798356i \(-0.294297\pi\)
\(524\) −107.100 + 157.960i −0.00892877 + 0.0131689i
\(525\) −7676.45 8530.63i −0.638148 0.709157i
\(526\) −769.258 2283.08i −0.0637666 0.189253i
\(527\) −18048.9 + 1962.93i −1.49188 + 0.162252i
\(528\) 293.698 236.812i 0.0242075 0.0195188i
\(529\) −590.401 10889.3i −0.0485248 0.894987i
\(530\) 2167.46 0.177638
\(531\) −12104.3 + 1791.10i −0.989229 + 0.146379i
\(532\) −6832.99 −0.556857
\(533\) 1517.50 + 27988.6i 0.123321 + 2.27452i
\(534\) 9895.66 7978.98i 0.801923 0.646600i
\(535\) 1865.48 202.883i 0.150751 0.0163952i
\(536\) −72.3453 214.713i −0.00582993 0.0173026i
\(537\) 4018.04 + 4465.14i 0.322889 + 0.358817i
\(538\) −9098.74 + 13419.6i −0.729135 + 1.07539i
\(539\) −0.326911 1.99407i −2.61244e−5 0.000159352i
\(540\) 593.440 745.160i 0.0472919 0.0593826i
\(541\) 8653.95 3448.05i 0.687730 0.274017i 1.79679e−5 1.00000i \(-0.499994\pi\)
0.687713 + 0.725983i \(0.258615\pi\)
\(542\) −4550.60 1001.66i −0.360637 0.0793821i
\(543\) −13960.7 + 14002.9i −1.10333 + 1.10667i
\(544\) 7543.34 + 6407.37i 0.594518 + 0.504988i
\(545\) −1542.09 927.842i −0.121203 0.0729255i
\(546\) −14409.3 9179.65i −1.12942 0.719510i
\(547\) −11071.2 + 2436.96i −0.865394 + 0.190488i −0.625417 0.780291i \(-0.715071\pi\)
−0.239977 + 0.970778i \(0.577140\pi\)
\(548\) −2000.82 + 1356.59i −0.155969 + 0.105749i
\(549\) −2971.68 + 18475.8i −0.231017 + 1.43629i
\(550\) −272.943 514.825i −0.0211606 0.0399131i
\(551\) 8473.72 + 18315.6i 0.655159 + 1.41610i
\(552\) 375.760 + 4530.10i 0.0289736 + 0.349300i
\(553\) −2323.12 + 14170.4i −0.178642 + 1.08967i
\(554\) −11069.3 10485.4i −0.848897 0.804118i
\(555\) −2353.80 2105.28i −0.180024 0.161017i
\(556\) 127.455 96.8887i 0.00972174 0.00739028i
\(557\) −958.999 + 1261.54i −0.0729517 + 0.0959663i −0.831122 0.556091i \(-0.812301\pi\)
0.758170 + 0.652057i \(0.226094\pi\)
\(558\) −10799.8 8158.42i −0.819338 0.618949i
\(559\) −2871.74 + 5416.67i −0.217284 + 0.409840i
\(560\) −1524.73 82.6684i −0.115056 0.00623817i
\(561\) 451.979 802.256i 0.0340153 0.0603766i
\(562\) 11059.8 + 5863.54i 0.830125 + 0.440104i
\(563\) −572.480 2061.89i −0.0428546 0.154348i 0.939027 0.343843i \(-0.111729\pi\)
−0.981882 + 0.189495i \(0.939315\pi\)
\(564\) −1813.77 + 902.960i −0.135414 + 0.0674140i
\(565\) −2941.79 3869.86i −0.219048 0.288153i
\(566\) 10156.2 + 2819.84i 0.754231 + 0.209411i
\(567\) 11542.2 7040.03i 0.854900 0.521435i
\(568\) 20432.1 + 3349.67i 1.50935 + 0.247446i
\(569\) 2202.04 1324.93i 0.162240 0.0976165i −0.432118 0.901817i \(-0.642234\pi\)
0.594358 + 0.804200i \(0.297406\pi\)
\(570\) 3802.81 + 97.2694i 0.279443 + 0.00714766i
\(571\) −6650.05 + 3525.63i −0.487383 + 0.258394i −0.693930 0.720042i \(-0.744122\pi\)
0.206547 + 0.978437i \(0.433777\pi\)
\(572\) 319.909 + 337.723i 0.0233847 + 0.0246869i
\(573\) 8951.85 1233.44i 0.652651 0.0899258i
\(574\) 3282.33 + 14911.8i 0.238679 + 1.08433i
\(575\) 4205.25 + 457.349i 0.304993 + 0.0331700i
\(576\) 1632.67 + 14601.8i 0.118104 + 1.05626i
\(577\) 11237.3 13229.5i 0.810769 0.954511i −0.188853 0.982005i \(-0.560477\pi\)
0.999622 + 0.0274940i \(0.00875270\pi\)
\(578\) −4146.69 1397.18i −0.298407 0.100545i
\(579\) 14940.3 18644.1i 1.07236 1.33821i
\(580\) −384.404 964.781i −0.0275198 0.0690696i
\(581\) −13111.4 15435.9i −0.936235 1.10222i
\(582\) 4823.34 15793.7i 0.343529 1.12486i
\(583\) −693.257 470.040i −0.0492483 0.0333912i
\(584\) −756.434 301.391i −0.0535984 0.0213556i
\(585\) −4230.21 2849.55i −0.298971 0.201392i
\(586\) 716.731 + 6590.23i 0.0505254 + 0.464573i
\(587\) 15888.0 + 7350.57i 1.11715 + 0.516850i 0.889519 0.456898i \(-0.151039\pi\)
0.227633 + 0.973747i \(0.426901\pi\)
\(588\) 12.5696 + 5.38458i 0.000881569 + 0.000377647i
\(589\) 28983.8i 2.02760i
\(590\) 1695.00 + 1857.44i 0.118275 + 0.129609i
\(591\) −18619.0 9199.15i −1.29591 0.640275i
\(592\) 8451.38 458.221i 0.586739 0.0318121i
\(593\) 548.236 1184.99i 0.0379652 0.0820604i −0.887665 0.460490i \(-0.847674\pi\)
0.925630 + 0.378430i \(0.123536\pi\)
\(594\) 655.318 204.467i 0.0452660 0.0141235i
\(595\) −3531.76 + 1189.99i −0.243341 + 0.0819911i
\(596\) 1456.81 3656.32i 0.100123 0.251290i
\(597\) −3650.69 6434.42i −0.250273 0.441111i
\(598\) 6214.51 1018.82i 0.424967 0.0696698i
\(599\) −16185.9 + 13748.4i −1.10407 + 0.937806i −0.998397 0.0565947i \(-0.981976\pi\)
−0.105674 + 0.994401i \(0.533700\pi\)
\(600\) 15191.6 + 1213.92i 1.03366 + 0.0825971i
\(601\) 1643.29 7465.55i 0.111533 0.506699i −0.887421 0.460961i \(-0.847505\pi\)
0.998953 0.0457383i \(-0.0145640\pi\)
\(602\) −1066.37 + 3164.86i −0.0721957 + 0.214269i
\(603\) 12.6985 248.066i 0.000857586 0.0167530i
\(604\) 4596.64 7639.67i 0.309660 0.514659i
\(605\) −348.698 + 3206.22i −0.0234324 + 0.215457i
\(606\) −2492.55 + 10087.8i −0.167084 + 0.676217i
\(607\) −1525.99 2250.67i −0.102040 0.150497i 0.773241 0.634112i \(-0.218634\pi\)
−0.875281 + 0.483614i \(0.839324\pi\)
\(608\) 11471.0 10865.9i 0.765149 0.724788i
\(609\) −421.388 14733.6i −0.0280386 0.980354i
\(610\) 3490.23 1614.75i 0.231665 0.107180i
\(611\) 5592.89 + 9295.45i 0.370317 + 0.615472i
\(612\) 2935.42 + 5496.61i 0.193884 + 0.363051i
\(613\) −13010.5 + 13735.0i −0.857239 + 0.904976i −0.996355 0.0853002i \(-0.972815\pi\)
0.139117 + 0.990276i \(0.455574\pi\)
\(614\) −826.051 + 2975.17i −0.0542943 + 0.195550i
\(615\) 865.741 + 4475.29i 0.0567643 + 0.293433i
\(616\) 779.664 + 592.685i 0.0509960 + 0.0387662i
\(617\) −12602.4 + 3499.03i −0.822289 + 0.228307i −0.653096 0.757275i \(-0.726530\pi\)
−0.169193 + 0.985583i \(0.554116\pi\)
\(618\) 6183.05 4455.45i 0.402458 0.290007i
\(619\) 1033.31 19058.2i 0.0670955 1.23750i −0.750171 0.661244i \(-0.770029\pi\)
0.817266 0.576260i \(-0.195489\pi\)
\(620\) 80.7512 1489.37i 0.00523072 0.0964750i
\(621\) −1441.14 + 4770.44i −0.0931254 + 0.308263i
\(622\) 4061.60 1127.70i 0.261825 0.0726954i
\(623\) 15827.6 + 12031.8i 1.01785 + 0.773747i
\(624\) 13421.2 2596.32i 0.861024 0.166564i
\(625\) 3596.36 12952.9i 0.230167 0.828986i
\(626\) −4837.50 + 5106.88i −0.308858 + 0.326058i
\(627\) −1195.23 855.798i −0.0761289 0.0545092i
\(628\) 1.14619 + 1.90498i 7.28312e−5 + 0.000121046i
\(629\) 18748.2 8673.83i 1.18846 0.549838i
\(630\) −2525.11 1159.00i −0.159687 0.0732945i
\(631\) −17433.7 + 16514.1i −1.09988 + 1.04186i −0.100986 + 0.994888i \(0.532200\pi\)
−0.998896 + 0.0469753i \(0.985042\pi\)
\(632\) −10701.5 15783.5i −0.673546 0.993406i
\(633\) −4630.05 1144.02i −0.290723 0.0718337i
\(634\) 2026.90 18637.1i 0.126969 1.16746i
\(635\) 1221.11 2029.51i 0.0763124 0.126832i
\(636\) 5203.37 2247.65i 0.324414 0.140134i
\(637\) 23.3781 69.3839i 0.00145412 0.00431568i
\(638\) 160.887 730.915i 0.00998364 0.0453561i
\(639\) 19484.7 + 11643.6i 1.20627 + 0.720833i
\(640\) 525.892 446.697i 0.0324808 0.0275894i
\(641\) 1593.79 261.289i 0.0982075 0.0161003i −0.112478 0.993654i \(-0.535879\pi\)
0.210685 + 0.977554i \(0.432430\pi\)
\(642\) −7959.19 + 4515.81i −0.489290 + 0.277608i
\(643\) 739.416 1855.79i 0.0453495 0.113819i −0.904557 0.426352i \(-0.859798\pi\)
0.949907 + 0.312534i \(0.101178\pi\)
\(644\) −1743.25 + 587.370i −0.106667 + 0.0359404i
\(645\) −342.403 + 936.373i −0.0209025 + 0.0571623i
\(646\) −10448.5 + 22584.1i −0.636364 + 1.37548i
\(647\) −17426.6 + 944.844i −1.05890 + 0.0574121i −0.575354 0.817904i \(-0.695136\pi\)
−0.483550 + 0.875317i \(0.660653\pi\)
\(648\) −4698.66 + 17328.4i −0.284847 + 1.05050i
\(649\) −139.336 961.680i −0.00842744 0.0581652i
\(650\) 21113.3i 1.27405i
\(651\) 8335.77 19458.8i 0.501851 1.17151i
\(652\) 4817.66 + 2228.88i 0.289377 + 0.133880i
\(653\) −3202.25 29444.2i −0.191904 1.76453i −0.554120 0.832437i \(-0.686945\pi\)
0.362215 0.932094i \(-0.382021\pi\)
\(654\) 8698.02 + 1171.71i 0.520060 + 0.0700571i
\(655\) 154.372 + 61.5072i 0.00920885 + 0.00366914i
\(656\) −10111.8 6855.96i −0.601827 0.408049i
\(657\) −649.929 611.932i −0.0385938 0.0363375i
\(658\) 3825.70 + 4503.96i 0.226658 + 0.266843i
\(659\) 1357.17 + 3406.23i 0.0802242 + 0.201348i 0.963618 0.267284i \(-0.0861263\pi\)
−0.883393 + 0.468632i \(0.844747\pi\)
\(660\) 59.0340 + 47.3063i 0.00348166 + 0.00278999i
\(661\) −9302.67 3134.44i −0.547401 0.184441i 0.0319936 0.999488i \(-0.489814\pi\)
−0.579395 + 0.815047i \(0.696711\pi\)
\(662\) 6517.98 7673.56i 0.382671 0.450516i
\(663\) 28084.9 18011.3i 1.64514 1.05506i
\(664\) 26737.8 + 2907.91i 1.56269 + 0.169953i
\(665\) 1279.00 + 5810.56i 0.0745828 + 0.338833i
\(666\) 14608.9 + 4873.24i 0.849976 + 0.283535i
\(667\) 3736.27 + 3944.33i 0.216895 + 0.228973i
\(668\) −10310.1 + 5466.07i −0.597170 + 0.316600i
\(669\) −653.547 + 25550.8i −0.0377692 + 1.47661i
\(670\) −43.7389 + 26.3169i −0.00252206 + 0.00151748i
\(671\) −1466.52 240.424i −0.0843734 0.0138323i
\(672\) −10826.3 + 3995.96i −0.621480 + 0.229386i
\(673\) 17513.8 + 4862.69i 1.00313 + 0.278518i 0.729992 0.683456i \(-0.239524\pi\)
0.273141 + 0.961974i \(0.411938\pi\)
\(674\) −1381.46 1817.28i −0.0789494 0.103856i
\(675\) 15001.3 + 7355.49i 0.855409 + 0.419426i
\(676\) 2867.96 + 10329.5i 0.163175 + 0.587702i
\(677\) 22444.7 + 11899.4i 1.27418 + 0.675527i 0.961624 0.274372i \(-0.0884700\pi\)
0.312556 + 0.949899i \(0.398815\pi\)
\(678\) 20653.7 + 11636.0i 1.16991 + 0.659111i
\(679\) 25790.3 + 1398.31i 1.45764 + 0.0790311i
\(680\) 2318.25 4372.68i 0.130736 0.246595i
\(681\) −20310.9 3865.53i −1.14290 0.217514i
\(682\) 650.485 855.698i 0.0365225 0.0480445i
\(683\) −11570.4 + 8795.60i −0.648213 + 0.492759i −0.876857 0.480751i \(-0.840364\pi\)
0.228644 + 0.973510i \(0.426571\pi\)
\(684\) 9230.21 3709.99i 0.515974 0.207390i
\(685\) 1528.12 + 1447.51i 0.0852355 + 0.0807393i
\(686\) −2342.00 + 14285.6i −0.130347 + 0.795082i
\(687\) −3644.37 + 302.291i −0.202389 + 0.0167877i
\(688\) −1122.01 2425.18i −0.0621747 0.134388i
\(689\) −14215.5 26813.2i −0.786017 1.48258i
\(690\) 978.546 302.078i 0.0539893 0.0166665i
\(691\) −23890.0 + 16197.8i −1.31522 + 0.891743i −0.998389 0.0567389i \(-0.981930\pi\)
−0.316833 + 0.948481i \(0.602619\pi\)
\(692\) −3277.17 + 721.359i −0.180028 + 0.0396271i
\(693\) 556.310 + 918.305i 0.0304942 + 0.0503370i
\(694\) −12818.0 7712.31i −0.701100 0.421838i
\(695\) −106.248 90.2480i −0.00579888 0.00492562i
\(696\) 13861.8 + 13820.0i 0.754929 + 0.752653i
\(697\) −29120.4 6409.89i −1.58252 0.348338i
\(698\) −6930.34 + 2761.30i −0.375812 + 0.149737i
\(699\) −15307.0 + 3831.23i −0.828274 + 0.207311i
\(700\) 997.771 + 6086.13i 0.0538746 + 0.328620i
\(701\) 6537.57 9642.19i 0.352241 0.519516i −0.609752 0.792592i \(-0.708731\pi\)
0.961992 + 0.273077i \(0.0880412\pi\)
\(702\) 24448.7 + 4576.56i 1.31447 + 0.246056i
\(703\) −10530.0 31251.9i −0.564931 1.67666i
\(704\) −1159.98 + 126.155i −0.0620999 + 0.00675377i
\(705\) 1107.35 + 1373.35i 0.0591564 + 0.0733667i
\(706\) 820.918 + 15140.9i 0.0437615 + 0.807134i
\(707\) −16252.1 −0.864529
\(708\) 5995.32 + 2701.40i 0.318246 + 0.143397i
\(709\) 4733.89 0.250755 0.125377 0.992109i \(-0.459986\pi\)
0.125377 + 0.992109i \(0.459986\pi\)
\(710\) −252.541 4657.85i −0.0133489 0.246206i
\(711\) −4555.72 20403.2i −0.240299 1.07620i
\(712\) −26247.7 + 2854.61i −1.38156 + 0.150254i
\(713\) 2491.47 + 7394.43i 0.130865 + 0.388392i
\(714\) 13510.0 12157.2i 0.708122 0.637217i
\(715\) 227.309 335.256i 0.0118893 0.0175354i
\(716\) −522.257 3185.63i −0.0272593 0.166274i
\(717\) 4226.24 + 16885.2i 0.220128 + 0.879483i
\(718\) 215.698 85.9420i 0.0112114 0.00446703i
\(719\) 8211.33 + 1807.45i 0.425913 + 0.0937504i 0.422754 0.906245i \(-0.361064\pi\)
0.00315872 + 0.999995i \(0.498995\pi\)
\(720\) 2104.53 716.185i 0.108932 0.0370703i
\(721\) 9084.70 + 7716.61i 0.469254 + 0.398588i
\(722\) 20627.5 + 12411.1i 1.06326 + 0.639743i
\(723\) −1238.00 + 1943.30i −0.0636816 + 0.0999612i
\(724\) 10378.0 2284.36i 0.532727 0.117262i
\(725\) 15076.4 10222.0i 0.772306 0.523636i
\(726\) −4639.21 15028.2i −0.237159 0.768249i
\(727\) −7522.46 14188.9i −0.383759 0.723846i 0.614102 0.789227i \(-0.289518\pi\)
−0.997860 + 0.0653813i \(0.979174\pi\)
\(728\) 14900.0 + 32205.9i 0.758560 + 1.63960i
\(729\) −11769.2 + 15776.8i −0.597937 + 0.801543i
\(730\) −29.6789 + 181.033i −0.00150475 + 0.00917854i
\(731\) −4734.86 4485.10i −0.239569 0.226932i
\(732\) 6704.45 7495.88i 0.338529 0.378491i
\(733\) 25651.6 19499.8i 1.29258 0.982595i 0.292931 0.956134i \(-0.405369\pi\)
0.999650 0.0264611i \(-0.00842381\pi\)
\(734\) 3996.84 5257.76i 0.200989 0.264397i
\(735\) 2.22609 11.6967i 0.000111715 0.000586993i
\(736\) 1992.47 3758.20i 0.0997874 0.188219i
\(737\) 19.6970 + 1.06794i 0.000984459 + 5.33758e-5i
\(738\) −12530.3 18361.1i −0.624994 0.915830i
\(739\) 34312.1 + 18191.1i 1.70797 + 0.905510i 0.974068 + 0.226257i \(0.0726490\pi\)
0.733905 + 0.679252i \(0.237696\pi\)
\(740\) 454.027 + 1635.26i 0.0225546 + 0.0812342i
\(741\) −23737.8 47681.8i −1.17683 2.36388i
\(742\) −10004.6 13160.9i −0.494989 0.651147i
\(743\) −30100.5 8357.36i −1.48625 0.412654i −0.572827 0.819676i \(-0.694153\pi\)
−0.913418 + 0.407022i \(0.866567\pi\)
\(744\) 9734.25 + 26373.2i 0.479671 + 1.29958i
\(745\) −3381.91 554.436i −0.166314 0.0272657i
\(746\) −11170.5 + 6721.06i −0.548231 + 0.329860i
\(747\) 26092.3 + 13732.5i 1.27800 + 0.672616i
\(748\) −437.213 + 231.796i −0.0213718 + 0.0113306i
\(749\) −9842.69 10390.8i −0.480166 0.506905i
\(750\) −960.584 6971.59i −0.0467674 0.339422i
\(751\) 2123.05 + 9645.11i 0.103157 + 0.468649i 0.999671 + 0.0256333i \(0.00816023\pi\)
−0.896514 + 0.443015i \(0.853909\pi\)
\(752\) −4700.57 511.218i −0.227942 0.0247902i
\(753\) 4634.10 + 7225.92i 0.224271 + 0.349704i
\(754\) 17555.5 20668.0i 0.847923 0.998252i
\(755\) −7356.94 2478.84i −0.354631 0.119489i
\(756\) −7263.87 163.848i −0.349450 0.00788241i
\(757\) 1822.26 + 4573.53i 0.0874917 + 0.219588i 0.966212 0.257750i \(-0.0829811\pi\)
−0.878720 + 0.477338i \(0.841602\pi\)
\(758\) −7440.21 8759.29i −0.356518 0.419725i
\(759\) −378.495 115.591i −0.0181008 0.00552791i
\(760\) −6539.63 4433.98i −0.312128 0.211628i
\(761\) 8033.08 + 3200.67i 0.382653 + 0.152463i 0.553530 0.832830i \(-0.313281\pi\)
−0.170877 + 0.985292i \(0.554660\pi\)
\(762\) −1542.06 + 11447.3i −0.0733108 + 0.544214i
\(763\) 1484.13 + 13646.4i 0.0704184 + 0.647487i
\(764\) −4407.45 2039.10i −0.208712 0.0965605i
\(765\) 4124.70 3525.05i 0.194939 0.166599i
\(766\) 15542.1i 0.733106i
\(767\) 11861.2 33150.7i 0.558385 1.56063i
\(768\) 8529.63 17263.9i 0.400764 0.811140i
\(769\) −13742.3 + 745.085i −0.644421 + 0.0349395i −0.373453 0.927649i \(-0.621826\pi\)
−0.270968 + 0.962588i \(0.587344\pi\)
\(770\) 92.6464 200.252i 0.00433603 0.00937218i
\(771\) −4339.58 1586.85i −0.202706 0.0741232i
\(772\) −12167.6 + 4099.75i −0.567257 + 0.191131i
\(773\) −9022.67 + 22645.2i −0.419823 + 1.05368i 0.555229 + 0.831697i \(0.312631\pi\)
−0.975052 + 0.221978i \(0.928749\pi\)
\(774\) −277.891 4854.18i −0.0129051 0.225426i
\(775\) 25815.8 4232.29i 1.19656 0.196165i
\(776\) −26141.7 + 22205.0i −1.20932 + 1.02721i
\(777\) −1918.58 + 24010.0i −0.0885827 + 1.10856i
\(778\) −477.397 + 2168.83i −0.0219994 + 0.0999441i
\(779\) −15199.3 + 45110.0i −0.699065 + 2.07475i
\(780\) 1086.95 + 2516.33i 0.0498962 + 0.115511i
\(781\) −929.338 + 1544.57i −0.0425792 + 0.0707671i
\(782\) −724.305 + 6659.88i −0.0331216 + 0.304548i
\(783\) 8568.87 + 19673.8i 0.391094 + 0.897937i
\(784\) 17.9085 + 26.4130i 0.000815802 + 0.00120322i
\(785\) 1.40539 1.33126i 6.38990e−5 6.05283e-5i
\(786\) −810.047 + 23.1677i −0.0367601 + 0.00105136i
\(787\) 7978.15 3691.08i 0.361360 0.167183i −0.230804 0.973000i \(-0.574136\pi\)
0.592164 + 0.805817i \(0.298274\pi\)
\(788\) 5753.96 + 9563.16i 0.260122 + 0.432327i
\(789\) −3193.64 + 4460.31i −0.144102 + 0.201256i
\(790\) −2954.51 + 3119.03i −0.133059 + 0.140469i
\(791\) −9919.11 + 35725.4i −0.445870 + 1.60588i
\(792\) −1374.99 377.296i −0.0616897 0.0169276i
\(793\) −42866.8 32586.5i −1.91960 1.45924i
\(794\) −11446.2 + 3178.01i −0.511598 + 0.142044i
\(795\) −2885.30 4004.07i −0.128718 0.178629i
\(796\) −215.242 + 3969.91i −0.00958425 + 0.176771i
\(797\) −1068.18 + 19701.5i −0.0474742 + 0.875610i 0.873701 + 0.486463i \(0.161713\pi\)
−0.921175 + 0.389147i \(0.872770\pi\)
\(798\) −16962.6 23539.8i −0.752467 1.04424i
\(799\) −11119.6 + 3087.34i −0.492345 + 0.136699i
\(800\) −11353.3 8630.54i −0.501749 0.381419i
\(801\) −27913.1 7659.31i −1.23129 0.337863i
\(802\) −8005.64 + 28833.7i −0.352480 + 1.26952i
\(803\) 48.7520 51.4668i 0.00214249 0.00226180i
\(804\) −77.7128 + 108.536i −0.00340886 + 0.00476089i
\(805\) 825.784 + 1372.46i 0.0361554 + 0.0600907i
\(806\) 35346.7 16353.1i 1.54471 0.714657i
\(807\) 36903.1 1055.45i 1.60973 0.0460390i
\(808\) 15668.8 14842.3i 0.682212 0.646226i
\(809\) −3081.61 4545.04i −0.133923 0.197522i 0.754814 0.655939i \(-0.227727\pi\)
−0.888737 + 0.458417i \(0.848417\pi\)
\(810\) 4040.28 + 194.591i 0.175261 + 0.00844101i
\(811\) 959.645 8823.79i 0.0415508 0.382053i −0.954837 0.297131i \(-0.903970\pi\)
0.996388 0.0849224i \(-0.0270642\pi\)
\(812\) −4083.84 + 6787.40i −0.176496 + 0.293339i
\(813\) 4207.28 + 9740.00i 0.181496 + 0.420168i
\(814\) −390.508 + 1158.99i −0.0168149 + 0.0499048i
\(815\) 993.604 4513.99i 0.0427048 0.194010i
\(816\) −1158.32 + 14495.8i −0.0496928 + 0.621879i
\(817\) −7935.46 + 6740.44i −0.339812 + 0.288639i
\(818\) 7714.45 1264.72i 0.329743 0.0540585i
\(819\) 2223.45 + 38839.1i 0.0948641 + 1.65708i
\(820\) 906.716 2275.69i 0.0386145 0.0969151i
\(821\) −27044.2 + 9112.24i −1.14963 + 0.387356i −0.828671 0.559736i \(-0.810902\pi\)
−0.320961 + 0.947092i \(0.604006\pi\)
\(822\) −9640.42 3525.20i −0.409061 0.149581i
\(823\) −8895.11 + 19226.5i −0.376748 + 0.814328i 0.622743 + 0.782427i \(0.286018\pi\)
−0.999491 + 0.0319016i \(0.989844\pi\)
\(824\) −15805.9 + 856.972i −0.668234 + 0.0362306i
\(825\) −587.728 + 1189.55i −0.0248025 + 0.0501999i
\(826\) 3454.55 18865.8i 0.145520 0.794703i
\(827\) 11021.4i 0.463426i 0.972784 + 0.231713i \(0.0744330\pi\)
−0.972784 + 0.231713i \(0.925567\pi\)
\(828\) 2035.93 1739.94i 0.0854508 0.0730280i
\(829\) 4325.67 + 2001.27i 0.181226 + 0.0838442i 0.508404 0.861119i \(-0.330236\pi\)
−0.327178 + 0.944963i \(0.606098\pi\)
\(830\) −655.137 6023.88i −0.0273977 0.251918i
\(831\) −4634.95 + 34407.0i −0.193483 + 1.43630i
\(832\) −39275.1 15648.6i −1.63656 0.652065i
\(833\) 64.4658 + 43.7089i 0.00268140 + 0.00181804i
\(834\) 650.184 + 198.564i 0.0269953 + 0.00824424i
\(835\) 6578.03 + 7744.25i 0.272625 + 0.320959i
\(836\) 292.412 + 733.900i 0.0120972 + 0.0303618i
\(837\) −695.002 + 30811.5i −0.0287010 + 1.27240i
\(838\) −8583.20 2892.02i −0.353820 0.119216i
\(839\) 10890.0 12820.7i 0.448109 0.527555i −0.491007 0.871156i \(-0.663371\pi\)
0.939116 + 0.343601i \(0.111647\pi\)
\(840\) 3115.29 + 4857.64i 0.127961 + 0.199529i
\(841\) −988.151 107.468i −0.0405162 0.00440641i
\(842\) −1451.56 6594.50i −0.0594110 0.269907i
\(843\) −3890.65 28237.0i −0.158957 1.15366i
\(844\) 1762.63 + 1860.79i 0.0718865 + 0.0758897i
\(845\) 8247.02 4372.30i 0.335747 0.178002i
\(846\) −7613.31 4006.91i −0.309398 0.162837i
\(847\) 21077.9 12682.1i 0.855070 0.514478i
\(848\) 13053.3 + 2139.97i 0.528598 + 0.0866592i
\(849\) −8310.51 22515.8i −0.335944 0.910178i
\(850\) 21641.3 + 6008.68i 0.873283 + 0.242466i
\(851\) −5372.89 7067.92i −0.216428 0.284706i
\(852\) −5436.45 10920.1i −0.218603 0.439105i
\(853\) 2288.07 + 8240.87i 0.0918428 + 0.330788i 0.995170 0.0981637i \(-0.0312969\pi\)
−0.903327 + 0.428952i \(0.858883\pi\)
\(854\) −25915.2 13739.4i −1.03841 0.550530i
\(855\) −4882.58 7154.65i −0.195299 0.286180i
\(856\) 18978.9 + 1029.01i 0.757811 + 0.0410873i
\(857\) 10689.1 20161.8i 0.426059 0.803633i −0.573823 0.818979i \(-0.694540\pi\)
0.999882 + 0.0153462i \(0.00488503\pi\)
\(858\) −369.307 + 1940.47i −0.0146946 + 0.0772106i
\(859\) −2436.80 + 3205.56i −0.0967899 + 0.127325i −0.841938 0.539574i \(-0.818585\pi\)
0.745149 + 0.666899i \(0.232379\pi\)
\(860\) 426.553 324.257i 0.0169132 0.0128571i
\(861\) 23178.0 25914.1i 0.917427 1.02572i
\(862\) 447.633 + 424.020i 0.0176873 + 0.0167543i
\(863\) 2103.38 12830.1i 0.0829664 0.506072i −0.912351 0.409409i \(-0.865735\pi\)
0.995317 0.0966631i \(-0.0308169\pi\)
\(864\) 12454.9 11276.0i 0.490422 0.444003i
\(865\) 1226.84 + 2651.78i 0.0482242 + 0.104235i
\(866\) 14025.9 + 26455.7i 0.550370 + 1.03811i
\(867\) 2938.93 + 9520.34i 0.115123 + 0.372927i
\(868\) −9416.25 + 6384.37i −0.368212 + 0.249654i
\(869\) 1621.39 356.896i 0.0632935 0.0139319i
\(870\) 2369.43 3719.30i 0.0923347 0.144938i
\(871\) 612.426 + 368.485i 0.0238247 + 0.0143348i
\(872\) −13893.5 11801.3i −0.539557 0.458304i
\(873\) −35597.5 + 12114.0i −1.38006 + 0.469642i
\(874\) 10444.7 + 2299.06i 0.404231 + 0.0889780i
\(875\) 10225.1 4074.04i 0.395052 0.157403i
\(876\) 116.481 + 465.380i 0.00449262 + 0.0179495i
\(877\) −2854.59 17412.2i −0.109912 0.670432i −0.983103 0.183054i \(-0.941402\pi\)
0.873191 0.487378i \(-0.162047\pi\)
\(878\) −8638.05 + 12740.2i −0.332027 + 0.489704i
\(879\) 11220.4 10096.9i 0.430552 0.387441i
\(880\) 56.3705 + 167.302i 0.00215937 + 0.00640879i
\(881\) 9733.13 1058.54i 0.372211 0.0404803i 0.0798977 0.996803i \(-0.474541\pi\)
0.292313 + 0.956323i \(0.405575\pi\)
\(882\) 12.6535 + 56.6696i 0.000483067 + 0.00216345i
\(883\) −1850.34 34127.5i −0.0705196 1.30066i −0.792981 0.609246i \(-0.791472\pi\)
0.722462 0.691411i \(-0.243011\pi\)
\(884\) −17930.4 −0.682199
\(885\) 1174.98 5603.89i 0.0446288 0.212850i
\(886\) −28903.2 −1.09596
\(887\) −2125.10 39195.2i −0.0804441 1.48370i −0.708597 0.705614i \(-0.750671\pi\)
0.628153 0.778090i \(-0.283811\pi\)
\(888\) −20077.6 24900.5i −0.758738 0.940999i
\(889\) −17959.7 + 1953.24i −0.677558 + 0.0736889i
\(890\) 1899.31 + 5636.95i 0.0715337 + 0.212305i
\(891\) −1250.08 938.425i −0.0470024 0.0352844i
\(892\) 7708.38 11369.0i 0.289345 0.426752i
\(893\) 2980.55 + 18180.6i 0.111691 + 0.681287i
\(894\) 16212.6 4057.89i 0.606521 0.151808i
\(895\) −2611.20 + 1040.40i −0.0975228 + 0.0388566i
\(896\) −5139.80 1131.36i −0.191639 0.0421830i
\(897\) −10154.8 10124.2i −0.377993 0.376853i
\(898\) −23062.4 19589.4i −0.857019 0.727959i
\(899\) 28790.4 + 17322.6i 1.06809 + 0.642649i
\(900\) −4652.30 7679.59i −0.172308 0.284429i
\(901\) 31529.4 6940.14i 1.16581 0.256614i
\(902\) 1461.14 990.677i 0.0539364 0.0365698i
\(903\) 7266.18 2243.07i 0.267778 0.0826631i
\(904\) −23063.3 43502.0i −0.848533 1.60050i
\(905\) −3885.10 8397.51i −0.142702 0.308445i
\(906\) 37729.8 3129.59i 1.38354 0.114761i
\(907\) −6798.99 + 41472.0i −0.248905 + 1.51825i 0.506066 + 0.862495i \(0.331099\pi\)
−0.754971 + 0.655758i \(0.772349\pi\)
\(908\) 8066.73 + 7641.21i 0.294828 + 0.279276i
\(909\) 21953.8 8824.11i 0.801058 0.321977i
\(910\) 6364.54 4838.20i 0.231849 0.176247i
\(911\) −3525.94 + 4638.29i −0.128232 + 0.168687i −0.855729 0.517425i \(-0.826891\pi\)
0.727496 + 0.686112i \(0.240684\pi\)
\(912\) 22806.0 + 4340.39i 0.828049 + 0.157593i
\(913\) −1096.81 + 2068.80i −0.0397580 + 0.0749916i
\(914\) −39800.5 2157.92i −1.44036 0.0780938i
\(915\) −7629.20 4298.18i −0.275643 0.155293i
\(916\) 1736.33 + 920.543i 0.0626309 + 0.0332048i
\(917\) −339.081 1221.26i −0.0122109 0.0439798i
\(918\) −11648.9 + 23757.7i −0.418814 + 0.854161i
\(919\) −16420.9 21601.4i −0.589420 0.775368i 0.400607 0.916250i \(-0.368799\pi\)
−0.990026 + 0.140882i \(0.955006\pi\)
\(920\) −2049.56 569.058i −0.0734478 0.0203927i
\(921\) 6595.84 2434.50i 0.235983 0.0871005i
\(922\) 12364.1 + 2027.00i 0.441639 + 0.0724030i
\(923\) −55965.1 + 33673.1i −1.99579 + 1.20083i
\(924\) 14.7540 576.816i 0.000525292 0.0205366i
\(925\) −26298.4 + 13942.5i −0.934797 + 0.495598i
\(926\) −7414.63 7827.53i −0.263132 0.277785i
\(927\) −16461.6 5491.27i −0.583248 0.194560i
\(928\) −3937.59 17888.6i −0.139286 0.632784i
\(929\) 38367.9 + 4172.77i 1.35502 + 0.147367i 0.756632 0.653841i \(-0.226844\pi\)
0.598386 + 0.801208i \(0.295809\pi\)
\(930\) 5331.37 3419.10i 0.187981 0.120555i
\(931\) 80.4965 94.7678i 0.00283369 0.00333608i
\(932\) 8036.03 + 2707.66i 0.282435 + 0.0951633i
\(933\) −7490.03 6002.06i −0.262822 0.210609i
\(934\) −11230.1 28185.3i −0.393425 0.987423i
\(935\) 278.950 + 328.405i 0.00975682 + 0.0114866i
\(936\) −37613.7 35414.7i −1.31351 1.23671i
\(937\) −2211.56 1499.48i −0.0771064 0.0522794i 0.522025 0.852930i \(-0.325177\pi\)
−0.599131 + 0.800651i \(0.704487\pi\)
\(938\) 361.689 + 144.110i 0.0125902 + 0.00501638i
\(939\) 15873.9 + 2138.37i 0.551677 + 0.0743162i
\(940\) −102.507 942.536i −0.00355682 0.0327044i
\(941\) −9232.13 4271.24i −0.319829 0.147968i 0.253405 0.967360i \(-0.418449\pi\)
−0.573234 + 0.819392i \(0.694311\pi\)
\(942\) −3.71735 + 8.67768i −0.000128575 + 0.000300142i
\(943\) 12815.1i 0.442543i
\(944\) 8374.09 + 12859.7i 0.288722 + 0.443377i
\(945\) 1220.32 + 6207.64i 0.0420075 + 0.213687i
\(946\) 385.557 20.9043i 0.0132511 0.000718454i
\(947\) 16321.9 35279.1i 0.560073 1.21058i −0.396216 0.918157i \(-0.629677\pi\)
0.956290 0.292421i \(-0.0944610\pi\)
\(948\) −3858.40 + 10551.6i −0.132189 + 0.361499i
\(949\) 2434.18 820.170i 0.0832631 0.0280546i
\(950\) 13271.6 33309.3i 0.453251 1.13757i
\(951\) −37127.6 + 21065.1i −1.26598 + 0.718277i
\(952\) −37251.8 + 6107.12i −1.26821 + 0.207913i
\(953\) 18314.7 15556.7i 0.622532 0.528783i −0.279671 0.960096i \(-0.590225\pi\)
0.902202 + 0.431313i \(0.141949\pi\)
\(954\) 20660.3 + 12346.1i 0.701156 + 0.418993i
\(955\) −909.003 + 4129.64i −0.0308007 + 0.139929i
\(956\) 2986.83 8864.59i 0.101047 0.299897i
\(957\) −1564.43 + 675.772i −0.0528432 + 0.0228261i
\(958\) −12368.5 + 20556.6i −0.417127 + 0.693271i
\(959\) 1735.78 15960.3i 0.0584477 0.537418i
\(960\) −6674.59 1649.20i −0.224398 0.0554455i
\(961\) 10362.5 + 15283.6i 0.347841 + 0.513028i
\(962\) −32171.6 + 30474.5i −1.07823 + 1.02135i
\(963\) 18937.5 + 8692.10i 0.633700 + 0.290861i
\(964\) 1123.83 519.938i 0.0375478 0.0173714i
\(965\) 5763.84 + 9579.58i 0.192274 + 0.319562i
\(966\) −6351.05 4547.43i −0.211534 0.151461i
\(967\) 9226.03 9739.81i 0.306814 0.323900i −0.554295 0.832321i \(-0.687012\pi\)
0.861109 + 0.508421i \(0.169771\pi\)
\(968\) −8739.40 + 31476.5i −0.290181 + 1.04514i
\(969\) 55629.9 10761.6i 1.84426 0.356771i
\(970\) 6151.79 + 4676.47i 0.203631 + 0.154796i
\(971\) 53334.8 14808.3i 1.76271 0.489415i 0.773237 0.634117i \(-0.218636\pi\)
0.989475 + 0.144702i \(0.0462224\pi\)
\(972\) 9901.23 3722.61i 0.326730 0.122842i
\(973\) −57.5645 + 1061.71i −0.00189664 + 0.0349815i
\(974\) −188.444 + 3475.64i −0.00619932 + 0.114340i
\(975\) −39003.9 + 28105.8i −1.28115 + 0.923186i
\(976\) 22613.8 6278.70i 0.741650 0.205918i
\(977\) −23820.7 18108.0i −0.780032 0.592965i 0.137558 0.990494i \(-0.456075\pi\)
−0.917590 + 0.397529i \(0.869868\pi\)
\(978\) 4281.04 + 22130.0i 0.139972 + 0.723559i
\(979\) 614.952 2214.86i 0.0200755 0.0723056i
\(980\) −4.40045 + 4.64550i −0.000143436 + 0.000151423i
\(981\) −9414.16 17628.1i −0.306392 0.573724i
\(982\) −2936.33 4880.21i −0.0954195 0.158588i
\(983\) 12194.3 5641.68i 0.395663 0.183053i −0.211961 0.977278i \(-0.567985\pi\)
0.607624 + 0.794225i \(0.292123\pi\)
\(984\) 1319.96 + 46151.6i 0.0427629 + 1.49518i
\(985\) 7055.19 6683.03i 0.228220 0.216182i
\(986\) 16188.7 + 23876.5i 0.522872 + 0.771179i
\(987\) 3227.70 13063.1i 0.104092 0.421279i
\(988\) −3094.87 + 28456.9i −0.0996569 + 0.916331i
\(989\) −1445.10 + 2401.78i −0.0464627 + 0.0772216i
\(990\) −16.4222 + 320.809i −0.000527205 + 0.0102990i
\(991\) −8632.09 + 25619.1i −0.276698 + 0.821209i 0.715730 + 0.698377i \(0.246094\pi\)
−0.992427 + 0.122832i \(0.960802\pi\)
\(992\) 5655.17 25691.7i 0.181000 0.822291i
\(993\) −22852.5 1826.09i −0.730315 0.0583576i
\(994\) −27117.0 + 23033.4i −0.865290 + 0.734984i
\(995\) 3416.18 560.054i 0.108844 0.0178441i
\(996\) −7819.52 13782.1i −0.248766 0.438455i
\(997\) 5724.66 14367.8i 0.181847 0.456402i −0.809588 0.586998i \(-0.800310\pi\)
0.991436 + 0.130596i \(0.0416889\pi\)
\(998\) 14196.3 4783.28i 0.450276 0.151715i
\(999\) −10444.6 33475.2i −0.330784 1.06017i
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 177.4.f.a.89.19 yes 1624
3.2 odd 2 inner 177.4.f.a.89.40 yes 1624
59.2 odd 58 inner 177.4.f.a.2.40 yes 1624
177.2 even 58 inner 177.4.f.a.2.19 1624
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
177.4.f.a.2.19 1624 177.2 even 58 inner
177.4.f.a.2.40 yes 1624 59.2 odd 58 inner
177.4.f.a.89.19 yes 1624 1.1 even 1 trivial
177.4.f.a.89.40 yes 1624 3.2 odd 2 inner