Properties

Label 177.4.e.b.4.3
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.97824 - 0.432660i) q^{2} +(1.94216 - 2.28649i) q^{3} +(7.82627 + 1.72269i) q^{4} +(6.73681 + 5.12119i) q^{5} +(-8.71565 + 8.25591i) q^{6} +(-6.58976 + 16.5390i) q^{7} +(-0.0516573 - 0.0174054i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-3.97824 - 0.432660i) q^{2} +(1.94216 - 2.28649i) q^{3} +(7.82627 + 1.72269i) q^{4} +(6.73681 + 5.12119i) q^{5} +(-8.71565 + 8.25591i) q^{6} +(-6.58976 + 16.5390i) q^{7} +(-0.0516573 - 0.0174054i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-24.5850 - 23.2881i) q^{10} +(-42.8086 + 19.8054i) q^{11} +(19.1388 - 14.5489i) q^{12} +(6.69383 - 40.8306i) q^{13} +(33.3715 - 62.9453i) q^{14} +(24.7935 - 5.45746i) q^{15} +(-57.9858 - 26.8271i) q^{16} +(20.0414 + 50.3002i) q^{17} +(1.94983 + 35.9625i) q^{18} +(-45.9031 - 67.7020i) q^{19} +(43.9019 + 51.6853i) q^{20} +(25.0179 + 47.1889i) q^{21} +(178.872 - 60.2691i) q^{22} +(-1.84786 + 34.0818i) q^{23} +(-0.140124 + 0.0843097i) q^{24} +(-14.2830 - 51.4427i) q^{25} +(-44.2954 + 159.538i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(-80.0649 + 118.087i) q^{28} +(-242.890 + 26.4158i) q^{29} +(-100.996 + 10.9840i) q^{30} +(-121.895 + 179.782i) q^{31} +(219.448 + 132.038i) q^{32} +(-37.8564 + 136.347i) q^{33} +(-57.9668 - 208.778i) q^{34} +(-129.094 + 77.6731i) q^{35} +(3.90464 - 72.0168i) q^{36} +(9.02428 - 3.04063i) q^{37} +(153.322 + 289.196i) q^{38} +(-80.3580 - 94.6048i) q^{39} +(-0.258869 - 0.381804i) q^{40} +(25.0649 + 462.296i) q^{41} +(-79.1108 - 198.553i) q^{42} +(-371.586 - 171.914i) q^{43} +(-369.151 + 81.2562i) q^{44} +(35.6745 - 67.2892i) q^{45} +(22.0971 - 134.786i) q^{46} +(-492.476 + 374.371i) q^{47} +(-173.957 + 80.4812i) q^{48} +(18.9012 + 17.9042i) q^{49} +(34.5640 + 210.831i) q^{50} +(153.934 + 51.8665i) q^{51} +(122.726 - 308.019i) q^{52} +(218.573 - 207.043i) q^{53} +(86.0146 + 65.3866i) q^{54} +(-389.821 - 85.8061i) q^{55} +(0.628278 - 0.739666i) q^{56} +(-243.951 - 26.5313i) q^{57} +977.704 q^{58} +(434.204 - 129.793i) q^{59} +203.442 q^{60} +(368.866 + 40.1166i) q^{61} +(562.712 - 662.476i) q^{62} +(156.485 + 34.4451i) q^{63} +(-408.987 - 310.903i) q^{64} +(254.196 - 240.787i) q^{65} +(209.594 - 526.041i) q^{66} +(-409.936 - 138.124i) q^{67} +(70.1979 + 428.188i) q^{68} +(74.3388 + 70.4175i) q^{69} +(547.172 - 253.149i) q^{70} +(413.310 - 314.190i) q^{71} +(-0.0793698 + 0.484134i) q^{72} +(-274.696 + 518.132i) q^{73} +(-37.2164 + 8.19194i) q^{74} +(-145.363 - 67.2520i) q^{75} +(-242.620 - 608.931i) q^{76} +(-45.4636 - 838.527i) q^{77} +(278.752 + 411.129i) q^{78} +(101.420 + 119.401i) q^{79} +(-253.253 - 477.685i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(100.302 - 1849.97i) q^{82} +(-59.2780 + 35.6664i) q^{83} +(114.505 + 412.411i) q^{84} +(-122.582 + 441.499i) q^{85} +(1403.88 + 844.687i) q^{86} +(-411.331 + 606.668i) q^{87} +(2.55610 - 0.277993i) q^{88} +(-690.584 + 75.1056i) q^{89} +(-171.035 + 252.258i) q^{90} +(631.188 + 379.773i) q^{91} +(-73.1744 + 263.550i) q^{92} +(174.329 + 627.875i) q^{93} +(2121.17 - 1276.26i) q^{94} +(37.4744 - 691.175i) q^{95} +(728.105 - 245.327i) q^{96} +(-100.832 - 190.189i) q^{97} +(-67.4472 - 79.4050i) q^{98} +(238.231 + 351.365i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.97824 0.432660i −1.40652 0.152968i −0.626842 0.779147i \(-0.715653\pi\)
−0.779680 + 0.626178i \(0.784618\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 7.82627 + 1.72269i 0.978283 + 0.215336i
\(5\) 6.73681 + 5.12119i 0.602559 + 0.458053i 0.861442 0.507855i \(-0.169561\pi\)
−0.258884 + 0.965909i \(0.583355\pi\)
\(6\) −8.71565 + 8.25591i −0.593025 + 0.561743i
\(7\) −6.58976 + 16.5390i −0.355814 + 0.893025i 0.636725 + 0.771091i \(0.280289\pi\)
−0.992538 + 0.121934i \(0.961091\pi\)
\(8\) −0.0516573 0.0174054i −0.00228295 0.000769216i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −24.5850 23.2881i −0.777444 0.736435i
\(11\) −42.8086 + 19.8054i −1.17339 + 0.542868i −0.907055 0.421012i \(-0.861675\pi\)
−0.266335 + 0.963880i \(0.585813\pi\)
\(12\) 19.1388 14.5489i 0.460407 0.349992i
\(13\) 6.69383 40.8306i 0.142810 0.871104i −0.814101 0.580724i \(-0.802770\pi\)
0.956911 0.290381i \(-0.0937820\pi\)
\(14\) 33.3715 62.9453i 0.637064 1.20163i
\(15\) 24.7935 5.45746i 0.426777 0.0939407i
\(16\) −57.9858 26.8271i −0.906027 0.419173i
\(17\) 20.0414 + 50.3002i 0.285927 + 0.717623i 0.999849 + 0.0173975i \(0.00553807\pi\)
−0.713921 + 0.700226i \(0.753083\pi\)
\(18\) 1.94983 + 35.9625i 0.0255322 + 0.470913i
\(19\) −45.9031 67.7020i −0.554258 0.817469i 0.442597 0.896721i \(-0.354057\pi\)
−0.996855 + 0.0792516i \(0.974747\pi\)
\(20\) 43.9019 + 51.6853i 0.490838 + 0.577859i
\(21\) 25.0179 + 47.1889i 0.259970 + 0.490355i
\(22\) 178.872 60.2691i 1.73344 0.584064i
\(23\) −1.84786 + 34.0818i −0.0167524 + 0.308981i 0.978134 + 0.207977i \(0.0666880\pi\)
−0.994886 + 0.101003i \(0.967795\pi\)
\(24\) −0.140124 + 0.0843097i −0.00119178 + 0.000717069i
\(25\) −14.2830 51.4427i −0.114264 0.411542i
\(26\) −44.2954 + 159.538i −0.334117 + 1.20338i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) −80.0649 + 118.087i −0.540387 + 0.797012i
\(29\) −242.890 + 26.4158i −1.55529 + 0.169148i −0.845003 0.534762i \(-0.820401\pi\)
−0.710289 + 0.703910i \(0.751436\pi\)
\(30\) −100.996 + 10.9840i −0.614641 + 0.0668462i
\(31\) −121.895 + 179.782i −0.706225 + 1.04160i 0.290187 + 0.956970i \(0.406282\pi\)
−0.996412 + 0.0846338i \(0.973028\pi\)
\(32\) 219.448 + 132.038i 1.21229 + 0.729411i
\(33\) −37.8564 + 136.347i −0.199696 + 0.719239i
\(34\) −57.9668 208.778i −0.292389 1.05309i
\(35\) −129.094 + 77.6731i −0.623452 + 0.375118i
\(36\) 3.90464 72.0168i 0.0180770 0.333411i
\(37\) 9.02428 3.04063i 0.0400968 0.0135102i −0.299182 0.954196i \(-0.596714\pi\)
0.339278 + 0.940686i \(0.389817\pi\)
\(38\) 153.322 + 289.196i 0.654529 + 1.23457i
\(39\) −80.3580 94.6048i −0.329938 0.388433i
\(40\) −0.258869 0.381804i −0.00102327 0.00150921i
\(41\) 25.0649 + 462.296i 0.0954753 + 1.76094i 0.518740 + 0.854932i \(0.326401\pi\)
−0.423264 + 0.906006i \(0.639116\pi\)
\(42\) −79.1108 198.553i −0.290644 0.729462i
\(43\) −371.586 171.914i −1.31782 0.609690i −0.370162 0.928967i \(-0.620698\pi\)
−0.947661 + 0.319277i \(0.896560\pi\)
\(44\) −369.151 + 81.2562i −1.26481 + 0.278405i
\(45\) 35.6745 67.2892i 0.118179 0.222909i
\(46\) 22.0971 134.786i 0.0708270 0.432025i
\(47\) −492.476 + 374.371i −1.52840 + 1.16186i −0.594631 + 0.803999i \(0.702702\pi\)
−0.933774 + 0.357864i \(0.883505\pi\)
\(48\) −173.957 + 80.4812i −0.523095 + 0.242010i
\(49\) 18.9012 + 17.9042i 0.0551056 + 0.0521988i
\(50\) 34.5640 + 210.831i 0.0977619 + 0.596321i
\(51\) 153.934 + 51.8665i 0.422650 + 0.142407i
\(52\) 122.726 308.019i 0.327290 0.821435i
\(53\) 218.573 207.043i 0.566478 0.536596i −0.349965 0.936763i \(-0.613806\pi\)
0.916442 + 0.400167i \(0.131048\pi\)
\(54\) 86.0146 + 65.3866i 0.216761 + 0.164778i
\(55\) −389.821 85.8061i −0.955699 0.210365i
\(56\) 0.628278 0.739666i 0.00149923 0.00176504i
\(57\) −243.951 26.5313i −0.566879 0.0616518i
\(58\) 977.704 2.21343
\(59\) 434.204 129.793i 0.958110 0.286400i
\(60\) 203.442 0.437738
\(61\) 368.866 + 40.1166i 0.774238 + 0.0842034i 0.486704 0.873567i \(-0.338199\pi\)
0.287534 + 0.957770i \(0.407165\pi\)
\(62\) 562.712 662.476i 1.15265 1.35701i
\(63\) 156.485 + 34.4451i 0.312942 + 0.0688837i
\(64\) −408.987 310.903i −0.798802 0.607233i
\(65\) 254.196 240.787i 0.485064 0.459477i
\(66\) 209.594 526.041i 0.390897 0.981078i
\(67\) −409.936 138.124i −0.747488 0.251858i −0.0803238 0.996769i \(-0.525595\pi\)
−0.667164 + 0.744911i \(0.732492\pi\)
\(68\) 70.1979 + 428.188i 0.125187 + 0.763610i
\(69\) 74.3388 + 70.4175i 0.129701 + 0.122859i
\(70\) 547.172 253.149i 0.934280 0.432244i
\(71\) 413.310 314.190i 0.690857 0.525176i −0.199809 0.979835i \(-0.564032\pi\)
0.890665 + 0.454659i \(0.150239\pi\)
\(72\) −0.0793698 + 0.484134i −0.000129914 + 0.000792441i
\(73\) −274.696 + 518.132i −0.440421 + 0.830723i 0.559577 + 0.828779i \(0.310964\pi\)
−0.999998 + 0.00194435i \(0.999381\pi\)
\(74\) −37.2164 + 8.19194i −0.0584637 + 0.0128688i
\(75\) −145.363 67.2520i −0.223801 0.103541i
\(76\) −242.620 608.931i −0.366190 0.919068i
\(77\) −45.4636 838.527i −0.0672865 1.24103i
\(78\) 278.752 + 411.129i 0.404647 + 0.596810i
\(79\) 101.420 + 119.401i 0.144439 + 0.170046i 0.829624 0.558322i \(-0.188555\pi\)
−0.685186 + 0.728369i \(0.740279\pi\)
\(80\) −253.253 477.685i −0.353931 0.667585i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 100.302 1849.97i 0.135080 2.49140i
\(83\) −59.2780 + 35.6664i −0.0783928 + 0.0471674i −0.554211 0.832376i \(-0.686980\pi\)
0.475818 + 0.879544i \(0.342152\pi\)
\(84\) 114.505 + 412.411i 0.148733 + 0.535687i
\(85\) −122.582 + 441.499i −0.156422 + 0.563380i
\(86\) 1403.88 + 844.687i 1.76028 + 1.05913i
\(87\) −411.331 + 606.668i −0.506888 + 0.747605i
\(88\) 2.55610 0.277993i 0.00309638 0.000336751i
\(89\) −690.584 + 75.1056i −0.822492 + 0.0894514i −0.509680 0.860364i \(-0.670236\pi\)
−0.312812 + 0.949815i \(0.601271\pi\)
\(90\) −171.035 + 252.258i −0.200319 + 0.295448i
\(91\) 631.188 + 379.773i 0.727104 + 0.437484i
\(92\) −73.1744 + 263.550i −0.0829234 + 0.298663i
\(93\) 174.329 + 627.875i 0.194377 + 0.700082i
\(94\) 2121.17 1276.26i 2.32746 1.40039i
\(95\) 37.4744 691.175i 0.0404715 0.746453i
\(96\) 728.105 245.327i 0.774083 0.260819i
\(97\) −100.832 190.189i −0.105545 0.199080i 0.825114 0.564966i \(-0.191111\pi\)
−0.930660 + 0.365886i \(0.880766\pi\)
\(98\) −67.4472 79.4050i −0.0695225 0.0818482i
\(99\) 238.231 + 351.365i 0.241850 + 0.356702i
\(100\) −23.1626 427.210i −0.0231626 0.427210i
\(101\) −102.378 256.951i −0.100862 0.253144i 0.869883 0.493258i \(-0.164194\pi\)
−0.970745 + 0.240115i \(0.922815\pi\)
\(102\) −589.948 272.939i −0.572682 0.264951i
\(103\) 234.331 51.5802i 0.224168 0.0493432i −0.101466 0.994839i \(-0.532353\pi\)
0.325634 + 0.945496i \(0.394422\pi\)
\(104\) −1.05646 + 1.99269i −0.000996097 + 0.00187884i
\(105\) −73.1220 + 446.024i −0.0679616 + 0.414548i
\(106\) −959.116 + 729.101i −0.878846 + 0.668081i
\(107\) −804.614 + 372.254i −0.726962 + 0.336329i −0.748225 0.663445i \(-0.769094\pi\)
0.0212623 + 0.999774i \(0.493231\pi\)
\(108\) −157.082 148.796i −0.139956 0.132573i
\(109\) −7.72861 47.1424i −0.00679143 0.0414259i 0.983213 0.182459i \(-0.0584058\pi\)
−0.990005 + 0.141033i \(0.954958\pi\)
\(110\) 1513.68 + 510.018i 1.31203 + 0.442075i
\(111\) 10.5742 26.5393i 0.00904199 0.0226937i
\(112\) 825.806 782.245i 0.696709 0.659957i
\(113\) −1037.40 788.613i −0.863634 0.656517i 0.0765944 0.997062i \(-0.475595\pi\)
−0.940228 + 0.340545i \(0.889388\pi\)
\(114\) 959.017 + 211.096i 0.787897 + 0.173429i
\(115\) −186.988 + 220.140i −0.151624 + 0.178506i
\(116\) −1946.43 211.687i −1.55794 0.169436i
\(117\) −372.381 −0.294244
\(118\) −1783.52 + 328.486i −1.39141 + 0.256268i
\(119\) −963.986 −0.742592
\(120\) −1.37575 0.149622i −0.00104657 0.000113822i
\(121\) 578.656 681.246i 0.434753 0.511830i
\(122\) −1450.08 319.187i −1.07610 0.236868i
\(123\) 1105.71 + 840.541i 0.810559 + 0.616171i
\(124\) −1263.69 + 1197.03i −0.915183 + 0.866908i
\(125\) 558.756 1402.37i 0.399813 1.00346i
\(126\) −607.635 204.736i −0.429622 0.144757i
\(127\) 301.937 + 1841.73i 0.210965 + 1.28683i 0.853710 + 0.520749i \(0.174347\pi\)
−0.642745 + 0.766080i \(0.722205\pi\)
\(128\) 5.06554 + 4.79833i 0.00349793 + 0.00331341i
\(129\) −1114.76 + 515.742i −0.760845 + 0.352005i
\(130\) −1115.43 + 847.931i −0.752539 + 0.572065i
\(131\) −308.515 + 1881.86i −0.205764 + 1.25511i 0.658698 + 0.752407i \(0.271108\pi\)
−0.864462 + 0.502698i \(0.832341\pi\)
\(132\) −531.158 + 1001.87i −0.350238 + 0.660618i
\(133\) 1422.22 313.054i 0.927233 0.204099i
\(134\) 1571.07 + 726.853i 1.01283 + 0.468586i
\(135\) −84.5704 212.256i −0.0539160 0.135319i
\(136\) −0.159793 2.94720i −0.000100751 0.00185824i
\(137\) 187.999 + 277.278i 0.117240 + 0.172916i 0.881781 0.471659i \(-0.156345\pi\)
−0.764541 + 0.644575i \(0.777034\pi\)
\(138\) −265.271 312.301i −0.163633 0.192644i
\(139\) −665.109 1254.53i −0.405855 0.765523i 0.593369 0.804931i \(-0.297798\pi\)
−0.999223 + 0.0394078i \(0.987453\pi\)
\(140\) −1144.13 + 385.502i −0.690689 + 0.232720i
\(141\) −100.474 + 1853.13i −0.0600100 + 1.10682i
\(142\) −1780.18 + 1071.10i −1.05204 + 0.632992i
\(143\) 522.111 + 1880.47i 0.305323 + 1.09967i
\(144\) −153.833 + 554.058i −0.0890240 + 0.320636i
\(145\) −1771.58 1065.93i −1.01463 0.610485i
\(146\) 1316.98 1942.41i 0.746537 1.10106i
\(147\) 77.6468 8.44460i 0.0435660 0.00473809i
\(148\) 75.8645 8.25076i 0.0421353 0.00458249i
\(149\) 1942.68 2865.25i 1.06813 1.57537i 0.279856 0.960042i \(-0.409713\pi\)
0.788271 0.615328i \(-0.210976\pi\)
\(150\) 549.192 + 330.438i 0.298942 + 0.179868i
\(151\) 151.501 545.658i 0.0816489 0.294073i −0.911441 0.411432i \(-0.865029\pi\)
0.993090 + 0.117359i \(0.0374427\pi\)
\(152\) 1.19285 + 4.29627i 0.000636534 + 0.00229259i
\(153\) 417.557 251.236i 0.220637 0.132753i
\(154\) −181.932 + 3355.54i −0.0951980 + 1.75582i
\(155\) −1741.88 + 586.907i −0.902652 + 0.304139i
\(156\) −465.928 878.834i −0.239129 0.451045i
\(157\) −1352.43 1592.20i −0.687487 0.809372i 0.302105 0.953275i \(-0.402311\pi\)
−0.989592 + 0.143902i \(0.954035\pi\)
\(158\) −351.814 518.886i −0.177144 0.261268i
\(159\) −48.8983 901.875i −0.0243892 0.449833i
\(160\) 802.191 + 2013.35i 0.396368 + 0.994807i
\(161\) −551.504 255.153i −0.269967 0.124900i
\(162\) 316.560 69.6801i 0.153526 0.0337937i
\(163\) −848.033 + 1599.56i −0.407503 + 0.768633i −0.999298 0.0374558i \(-0.988075\pi\)
0.591795 + 0.806089i \(0.298420\pi\)
\(164\) −600.228 + 3661.23i −0.285792 + 1.74326i
\(165\) −953.289 + 724.671i −0.449778 + 0.341913i
\(166\) 251.254 116.242i 0.117476 0.0543504i
\(167\) 1878.21 + 1779.13i 0.870300 + 0.824392i 0.985627 0.168936i \(-0.0540331\pi\)
−0.115327 + 0.993328i \(0.536792\pi\)
\(168\) −0.471020 2.87310i −0.000216310 0.00131943i
\(169\) 459.667 + 154.880i 0.209225 + 0.0704961i
\(170\) 678.679 1703.36i 0.306190 0.768479i
\(171\) −534.455 + 506.263i −0.239010 + 0.226403i
\(172\) −2611.98 1985.58i −1.15792 0.880225i
\(173\) −3194.42 703.144i −1.40386 0.309012i −0.552461 0.833539i \(-0.686311\pi\)
−0.851394 + 0.524527i \(0.824242\pi\)
\(174\) 1898.86 2235.51i 0.827310 0.973984i
\(175\) 944.935 + 102.768i 0.408174 + 0.0443916i
\(176\) 3013.61 1.29068
\(177\) 546.522 1244.88i 0.232086 0.528649i
\(178\) 2779.81 1.17054
\(179\) 2150.79 + 233.912i 0.898086 + 0.0976728i 0.545504 0.838108i \(-0.316338\pi\)
0.352582 + 0.935781i \(0.385304\pi\)
\(180\) 395.117 465.167i 0.163613 0.192620i
\(181\) 3121.70 + 687.139i 1.28196 + 0.282180i 0.803170 0.595750i \(-0.203145\pi\)
0.478788 + 0.877930i \(0.341076\pi\)
\(182\) −2346.71 1783.92i −0.955766 0.726555i
\(183\) 808.123 765.495i 0.326438 0.309219i
\(184\) 0.688663 1.72841i 0.000275918 0.000692502i
\(185\) 76.3666 + 25.7309i 0.0303491 + 0.0102258i
\(186\) −421.866 2573.27i −0.166305 1.01441i
\(187\) −1854.16 1756.36i −0.725079 0.686831i
\(188\) −4499.17 + 2081.54i −1.74540 + 0.807510i
\(189\) 382.678 290.904i 0.147279 0.111959i
\(190\) −448.126 + 2733.45i −0.171108 + 1.04371i
\(191\) 742.368 1400.25i 0.281235 0.530465i −0.702143 0.712036i \(-0.747773\pi\)
0.983378 + 0.181571i \(0.0581181\pi\)
\(192\) −1505.19 + 331.318i −0.565771 + 0.124536i
\(193\) 4841.79 + 2240.05i 1.80580 + 0.835453i 0.945461 + 0.325734i \(0.105611\pi\)
0.860341 + 0.509719i \(0.170251\pi\)
\(194\) 318.846 + 800.243i 0.117999 + 0.296155i
\(195\) −56.8677 1048.86i −0.0208840 0.385183i
\(196\) 117.083 + 172.684i 0.0426686 + 0.0629315i
\(197\) −308.740 363.477i −0.111659 0.131455i 0.703493 0.710702i \(-0.251623\pi\)
−0.815152 + 0.579247i \(0.803347\pi\)
\(198\) −795.721 1500.89i −0.285603 0.538705i
\(199\) 2545.97 857.836i 0.906929 0.305580i 0.173092 0.984906i \(-0.444624\pi\)
0.733837 + 0.679326i \(0.237728\pi\)
\(200\) −0.157558 + 2.90599i −5.57053e−5 + 0.00102742i
\(201\) −1111.98 + 669.056i −0.390214 + 0.234784i
\(202\) 296.114 + 1066.51i 0.103141 + 0.371481i
\(203\) 1163.69 4191.24i 0.402341 1.44910i
\(204\) 1115.38 + 671.103i 0.382806 + 0.230327i
\(205\) −2198.65 + 3242.76i −0.749074 + 1.10480i
\(206\) −954.543 + 103.813i −0.322846 + 0.0351116i
\(207\) 305.386 33.2128i 0.102540 0.0111519i
\(208\) −1483.51 + 2188.01i −0.494533 + 0.729382i
\(209\) 3305.92 + 1989.10i 1.09414 + 0.658321i
\(210\) 483.874 1742.76i 0.159002 0.572674i
\(211\) −832.179 2997.24i −0.271515 0.977907i −0.966030 0.258429i \(-0.916795\pi\)
0.694516 0.719478i \(-0.255619\pi\)
\(212\) 2067.28 1243.84i 0.669725 0.402960i
\(213\) 84.3223 1555.23i 0.0271252 0.500295i
\(214\) 3362.01 1132.79i 1.07394 0.361851i
\(215\) −1622.90 3061.12i −0.514796 0.971007i
\(216\) 0.952817 + 1.12174i 0.000300144 + 0.000353356i
\(217\) −2170.16 3200.74i −0.678893 1.00129i
\(218\) 10.3496 + 190.888i 0.00321544 + 0.0593053i
\(219\) 651.198 + 1634.38i 0.200931 + 0.504299i
\(220\) −2903.03 1343.08i −0.889646 0.411594i
\(221\) 2187.94 481.602i 0.665958 0.146588i
\(222\) −53.5493 + 101.005i −0.0161892 + 0.0305360i
\(223\) 394.863 2408.55i 0.118574 0.723268i −0.858889 0.512161i \(-0.828845\pi\)
0.977463 0.211107i \(-0.0677067\pi\)
\(224\) −3629.89 + 2759.37i −1.08273 + 0.823072i
\(225\) −436.089 + 201.756i −0.129211 + 0.0597796i
\(226\) 3785.84 + 3586.14i 1.11429 + 1.05551i
\(227\) 259.101 + 1580.45i 0.0757584 + 0.462106i 0.997275 + 0.0737678i \(0.0235024\pi\)
−0.921517 + 0.388338i \(0.873049\pi\)
\(228\) −1863.52 627.893i −0.541292 0.182383i
\(229\) 120.545 302.545i 0.0347853 0.0873046i −0.910558 0.413382i \(-0.864348\pi\)
0.945343 + 0.326077i \(0.105727\pi\)
\(230\) 839.131 794.867i 0.240568 0.227878i
\(231\) −2005.58 1524.60i −0.571244 0.434248i
\(232\) 13.0068 + 2.86301i 0.00368077 + 0.000810199i
\(233\) 512.955 603.898i 0.144227 0.169797i −0.685305 0.728256i \(-0.740331\pi\)
0.829532 + 0.558459i \(0.188607\pi\)
\(234\) 1481.42 + 161.114i 0.413861 + 0.0450101i
\(235\) −5234.94 −1.45315
\(236\) 3621.79 267.796i 0.998976 0.0738646i
\(237\) 469.982 0.128813
\(238\) 3834.97 + 417.078i 1.04447 + 0.113593i
\(239\) −2953.42 + 3477.04i −0.799335 + 0.941050i −0.999248 0.0387635i \(-0.987658\pi\)
0.199913 + 0.979814i \(0.435934\pi\)
\(240\) −1584.08 348.682i −0.426049 0.0937805i
\(241\) 2425.10 + 1843.51i 0.648193 + 0.492744i 0.876850 0.480763i \(-0.159640\pi\)
−0.228657 + 0.973507i \(0.573433\pi\)
\(242\) −2596.78 + 2459.80i −0.689783 + 0.653397i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) 2817.74 + 949.406i 0.739292 + 0.249096i
\(245\) 35.6432 + 217.414i 0.00929453 + 0.0566942i
\(246\) −4035.13 3822.28i −1.04581 0.990648i
\(247\) −3071.58 + 1421.06i −0.791255 + 0.366073i
\(248\) 9.42593 7.16540i 0.00241350 0.00183469i
\(249\) −33.5766 + 204.808i −0.00854550 + 0.0521253i
\(250\) −2829.62 + 5337.22i −0.715843 + 1.35022i
\(251\) 2368.87 521.428i 0.595705 0.131125i 0.0931236 0.995655i \(-0.470315\pi\)
0.502581 + 0.864530i \(0.332384\pi\)
\(252\) 1165.36 + 539.153i 0.291312 + 0.134775i
\(253\) −595.900 1495.60i −0.148079 0.371649i
\(254\) −404.334 7457.50i −0.0998825 1.84222i
\(255\) 771.409 + 1137.74i 0.189441 + 0.279405i
\(256\) 2642.64 + 3111.16i 0.645176 + 0.759560i
\(257\) −400.584 755.582i −0.0972287 0.183393i 0.830126 0.557575i \(-0.188268\pi\)
−0.927355 + 0.374183i \(0.877923\pi\)
\(258\) 4657.93 1569.44i 1.12399 0.378717i
\(259\) −9.17864 + 169.290i −0.00220206 + 0.0406146i
\(260\) 2404.21 1446.57i 0.573472 0.345047i
\(261\) 588.267 + 2118.75i 0.139513 + 0.502480i
\(262\) 2041.55 7353.01i 0.481403 1.73386i
\(263\) 3101.25 + 1865.96i 0.727115 + 0.437491i 0.830405 0.557161i \(-0.188109\pi\)
−0.103289 + 0.994651i \(0.532937\pi\)
\(264\) 4.32873 6.38439i 0.00100915 0.00148838i
\(265\) 2532.79 275.458i 0.587126 0.0638538i
\(266\) −5793.38 + 630.068i −1.33539 + 0.145233i
\(267\) −1169.50 + 1724.88i −0.268060 + 0.395359i
\(268\) −2970.33 1787.19i −0.677021 0.407350i
\(269\) −1769.78 + 6374.18i −0.401136 + 1.44476i 0.437080 + 0.899423i \(0.356013\pi\)
−0.838216 + 0.545339i \(0.816401\pi\)
\(270\) 244.607 + 880.995i 0.0551345 + 0.198576i
\(271\) −3964.41 + 2385.30i −0.888637 + 0.534675i −0.885143 0.465319i \(-0.845940\pi\)
−0.00349356 + 0.999994i \(0.501112\pi\)
\(272\) 187.289 3454.35i 0.0417503 0.770039i
\(273\) 2094.21 705.623i 0.464277 0.156433i
\(274\) −627.940 1184.42i −0.138450 0.261144i
\(275\) 1630.28 + 1919.31i 0.357489 + 0.420869i
\(276\) 460.488 + 679.169i 0.100428 + 0.148120i
\(277\) −341.180 6292.70i −0.0740055 1.36495i −0.765903 0.642956i \(-0.777708\pi\)
0.691898 0.721996i \(-0.256775\pi\)
\(278\) 2103.18 + 5278.59i 0.453743 + 1.13881i
\(279\) 1774.20 + 820.833i 0.380712 + 0.176136i
\(280\) 8.02056 1.76546i 0.00171186 0.000376808i
\(281\) −2947.82 + 5560.18i −0.625809 + 1.18040i 0.344558 + 0.938765i \(0.388029\pi\)
−0.970367 + 0.241635i \(0.922316\pi\)
\(282\) 1201.48 7328.72i 0.253714 1.54758i
\(283\) −2604.36 + 1979.78i −0.547043 + 0.415852i −0.841855 0.539704i \(-0.818536\pi\)
0.294812 + 0.955555i \(0.404743\pi\)
\(284\) 3775.92 1746.93i 0.788943 0.365004i
\(285\) −1507.58 1428.06i −0.313338 0.296810i
\(286\) −1263.48 7706.88i −0.261228 1.59342i
\(287\) −7811.11 2631.87i −1.60653 0.541304i
\(288\) 853.159 2141.27i 0.174559 0.438109i
\(289\) 1438.36 1362.49i 0.292767 0.277323i
\(290\) 6586.61 + 5007.01i 1.33372 + 1.01387i
\(291\) −630.695 138.826i −0.127051 0.0279661i
\(292\) −3042.43 + 3581.82i −0.609742 + 0.717844i
\(293\) 3954.08 + 430.032i 0.788395 + 0.0857431i 0.493454 0.869772i \(-0.335734\pi\)
0.294942 + 0.955515i \(0.404700\pi\)
\(294\) −312.552 −0.0620013
\(295\) 3589.84 + 1349.25i 0.708504 + 0.266293i
\(296\) −0.519094 −0.000101931
\(297\) 1266.07 + 137.694i 0.247357 + 0.0269017i
\(298\) −8968.15 + 10558.1i −1.74333 + 2.05240i
\(299\) 1379.21 + 303.587i 0.266762 + 0.0587188i
\(300\) −1021.79 776.748i −0.196644 0.149485i
\(301\) 5291.96 5012.81i 1.01337 0.959913i
\(302\) −838.793 + 2105.21i −0.159825 + 0.401130i
\(303\) −786.349 264.952i −0.149091 0.0502346i
\(304\) 845.480 + 5157.20i 0.159512 + 0.972979i
\(305\) 2279.54 + 2159.29i 0.427954 + 0.405380i
\(306\) −1769.84 + 818.817i −0.330638 + 0.152970i
\(307\) −5506.73 + 4186.11i −1.02373 + 0.778220i −0.975362 0.220609i \(-0.929196\pi\)
−0.0483692 + 0.998830i \(0.515402\pi\)
\(308\) 1088.71 6640.86i 0.201413 1.22856i
\(309\) 337.171 635.972i 0.0620744 0.117085i
\(310\) 7183.55 1581.22i 1.31612 0.289701i
\(311\) −3678.11 1701.68i −0.670632 0.310267i 0.0548640 0.998494i \(-0.482527\pi\)
−0.725496 + 0.688226i \(0.758390\pi\)
\(312\) 2.50445 + 6.28569i 0.000454444 + 0.00114057i
\(313\) −35.7340 659.075i −0.00645305 0.119020i −0.999985 0.00546712i \(-0.998260\pi\)
0.993532 0.113552i \(-0.0362230\pi\)
\(314\) 4691.41 + 6919.31i 0.843157 + 1.24356i
\(315\) 877.814 + 1033.44i 0.157013 + 0.184850i
\(316\) 588.050 + 1109.18i 0.104685 + 0.197456i
\(317\) −1999.25 + 673.626i −0.354224 + 0.119352i −0.490788 0.871279i \(-0.663291\pi\)
0.136563 + 0.990631i \(0.456394\pi\)
\(318\) −195.676 + 3609.04i −0.0345062 + 0.636430i
\(319\) 9874.60 5941.35i 1.73314 1.04280i
\(320\) −1163.07 4189.00i −0.203180 0.731788i
\(321\) −711.535 + 2562.72i −0.123720 + 0.445598i
\(322\) 2083.62 + 1253.68i 0.360608 + 0.216971i
\(323\) 2485.46 3665.78i 0.428157 0.631485i
\(324\) −645.298 + 70.1804i −0.110648 + 0.0120337i
\(325\) −2196.04 + 238.834i −0.374814 + 0.0407635i
\(326\) 4065.75 5996.53i 0.690739 1.01876i
\(327\) −122.801 73.8867i −0.0207673 0.0124952i
\(328\) 6.75164 24.3172i 0.00113658 0.00409358i
\(329\) −2946.43 10612.1i −0.493745 1.77831i
\(330\) 4105.95 2470.47i 0.684925 0.412106i
\(331\) 146.584 2703.58i 0.0243414 0.448950i −0.960804 0.277228i \(-0.910584\pi\)
0.985145 0.171722i \(-0.0549330\pi\)
\(332\) −525.368 + 177.017i −0.0868473 + 0.0292623i
\(333\) −40.1449 75.7213i −0.00660639 0.0124610i
\(334\) −6702.21 7890.45i −1.09799 1.29265i
\(335\) −2054.31 3029.88i −0.335041 0.494149i
\(336\) −184.746 3407.44i −0.0299962 0.553247i
\(337\) 2771.00 + 6954.68i 0.447910 + 1.12417i 0.963589 + 0.267388i \(0.0861605\pi\)
−0.515679 + 0.856782i \(0.672460\pi\)
\(338\) −1761.66 815.030i −0.283496 0.131159i
\(339\) −3817.95 + 840.395i −0.611690 + 0.134643i
\(340\) −1719.92 + 3244.12i −0.274341 + 0.517462i
\(341\) 1657.51 10110.4i 0.263224 1.60559i
\(342\) 2345.23 1782.80i 0.370806 0.281879i
\(343\) −5962.88 + 2758.72i −0.938674 + 0.434277i
\(344\) 16.2029 + 15.3482i 0.00253954 + 0.00240558i
\(345\) 140.185 + 855.093i 0.0218763 + 0.133440i
\(346\) 12403.9 + 4179.38i 1.92728 + 0.649378i
\(347\) 196.292 492.656i 0.0303675 0.0762166i −0.913011 0.407935i \(-0.866249\pi\)
0.943378 + 0.331718i \(0.107628\pi\)
\(348\) −4264.29 + 4039.35i −0.656867 + 0.622218i
\(349\) 5591.98 + 4250.91i 0.857684 + 0.651995i 0.938706 0.344718i \(-0.112025\pi\)
−0.0810221 + 0.996712i \(0.525818\pi\)
\(350\) −3714.72 817.672i −0.567315 0.124875i
\(351\) −723.222 + 851.443i −0.109979 + 0.129478i
\(352\) −12009.3 1306.09i −1.81846 0.197770i
\(353\) 12897.6 1.94468 0.972340 0.233569i \(-0.0750404\pi\)
0.972340 + 0.233569i \(0.0750404\pi\)
\(354\) −2712.81 + 4715.98i −0.407300 + 0.708054i
\(355\) 4393.42 0.656840
\(356\) −5534.08 601.868i −0.823892 0.0896037i
\(357\) −1872.21 + 2204.14i −0.277558 + 0.326766i
\(358\) −8455.15 1861.12i −1.24824 0.274758i
\(359\) 3192.39 + 2426.79i 0.469325 + 0.356772i 0.812948 0.582336i \(-0.197861\pi\)
−0.343623 + 0.939108i \(0.611654\pi\)
\(360\) −3.01404 + 2.85505i −0.000441261 + 0.000417985i
\(361\) 62.3080 156.381i 0.00908413 0.0227994i
\(362\) −12121.6 4084.24i −1.75994 0.592992i
\(363\) −433.819 2646.18i −0.0627261 0.382612i
\(364\) 4285.61 + 4059.55i 0.617108 + 0.584555i
\(365\) −4504.03 + 2083.79i −0.645895 + 0.298823i
\(366\) −3546.11 + 2695.68i −0.506443 + 0.384988i
\(367\) 1807.62 11026.0i 0.257104 1.56827i −0.470583 0.882356i \(-0.655956\pi\)
0.727687 0.685910i \(-0.240595\pi\)
\(368\) 1021.47 1926.69i 0.144694 0.272923i
\(369\) 4069.36 895.733i 0.574098 0.126369i
\(370\) −292.672 135.405i −0.0411224 0.0190253i
\(371\) 1983.96 + 4979.36i 0.277633 + 0.696807i
\(372\) 282.708 + 5214.23i 0.0394024 + 0.726735i
\(373\) −3865.32 5700.92i −0.536565 0.791374i 0.458698 0.888592i \(-0.348316\pi\)
−0.995263 + 0.0972183i \(0.969005\pi\)
\(374\) 6616.41 + 7789.44i 0.914776 + 1.07696i
\(375\) −2121.31 4001.21i −0.292117 0.550992i
\(376\) 31.9561 10.7672i 0.00438300 0.00147680i
\(377\) −547.289 + 10094.1i −0.0747660 + 1.37898i
\(378\) −1648.25 + 991.718i −0.224277 + 0.134943i
\(379\) 2668.08 + 9609.56i 0.361610 + 1.30240i 0.890993 + 0.454018i \(0.150010\pi\)
−0.529383 + 0.848383i \(0.677576\pi\)
\(380\) 1483.97 5344.76i 0.200331 0.721528i
\(381\) 4797.50 + 2886.56i 0.645101 + 0.388145i
\(382\) −3559.16 + 5249.36i −0.476707 + 0.703091i
\(383\) −11418.3 + 1241.82i −1.52337 + 0.165676i −0.831164 0.556027i \(-0.812325\pi\)
−0.692203 + 0.721703i \(0.743360\pi\)
\(384\) 20.8094 2.26316i 0.00276543 0.000300759i
\(385\) 3987.98 5881.83i 0.527912 0.778612i
\(386\) −18292.7 11006.3i −2.41210 1.45131i
\(387\) −985.801 + 3550.54i −0.129486 + 0.466367i
\(388\) −461.499 1662.17i −0.0603842 0.217484i
\(389\) 4330.88 2605.81i 0.564484 0.339639i −0.204540 0.978858i \(-0.565570\pi\)
0.769025 + 0.639219i \(0.220742\pi\)
\(390\) −227.568 + 4197.24i −0.0295470 + 0.544963i
\(391\) −1751.36 + 590.101i −0.226522 + 0.0763240i
\(392\) −0.664757 1.25387i −8.56513e−5 0.000161555i
\(393\) 3703.66 + 4360.29i 0.475382 + 0.559662i
\(394\) 1070.98 + 1579.58i 0.136942 + 0.201975i
\(395\) 71.7729 + 1323.77i 0.00914250 + 0.168623i
\(396\) 1259.17 + 3160.28i 0.159787 + 0.401035i
\(397\) −4980.41 2304.18i −0.629621 0.291294i 0.0790089 0.996874i \(-0.474824\pi\)
−0.708630 + 0.705580i \(0.750687\pi\)
\(398\) −10499.6 + 2311.14i −1.32236 + 0.291073i
\(399\) 2046.38 3859.88i 0.256760 0.484300i
\(400\) −551.847 + 3366.12i −0.0689808 + 0.420764i
\(401\) −7536.58 + 5729.16i −0.938551 + 0.713468i −0.958128 0.286340i \(-0.907561\pi\)
0.0195770 + 0.999808i \(0.493768\pi\)
\(402\) 4713.20 2180.56i 0.584759 0.270538i
\(403\) 6524.64 + 6180.46i 0.806489 + 0.763947i
\(404\) −358.595 2187.33i −0.0441603 0.269366i
\(405\) −649.569 218.865i −0.0796971 0.0268531i
\(406\) −6442.83 + 16170.3i −0.787567 + 1.97665i
\(407\) −326.096 + 308.895i −0.0397150 + 0.0376200i
\(408\) −7.04908 5.35857i −0.000855347 0.000650218i
\(409\) 13133.3 + 2890.86i 1.58778 + 0.349497i 0.919091 0.394046i \(-0.128925\pi\)
0.668688 + 0.743543i \(0.266856\pi\)
\(410\) 10149.8 11949.2i 1.22259 1.43934i
\(411\) 999.117 + 108.660i 0.119909 + 0.0130409i
\(412\) 1922.80 0.229926
\(413\) −714.644 + 8036.62i −0.0851461 + 0.957521i
\(414\) −1229.27 −0.145931
\(415\) −581.999 63.2962i −0.0688415 0.00748696i
\(416\) 6860.12 8076.35i 0.808521 0.951865i
\(417\) −4160.21 915.731i −0.488552 0.107538i
\(418\) −12291.1 9343.48i −1.43823 1.09331i
\(419\) −8773.28 + 8310.49i −1.02292 + 0.968959i −0.999527 0.0307670i \(-0.990205\pi\)
−0.0233914 + 0.999726i \(0.507446\pi\)
\(420\) −1340.63 + 3364.74i −0.155753 + 0.390911i
\(421\) −9780.52 3295.44i −1.13224 0.381497i −0.310057 0.950718i \(-0.600348\pi\)
−0.822184 + 0.569221i \(0.807245\pi\)
\(422\) 2013.83 + 12283.8i 0.232302 + 1.41698i
\(423\) 4042.01 + 3828.80i 0.464608 + 0.440101i
\(424\) −14.8946 + 6.89096i −0.00170600 + 0.000789280i
\(425\) 2301.33 1749.42i 0.262661 0.199670i
\(426\) −1008.34 + 6150.62i −0.114682 + 0.699527i
\(427\) −3094.23 + 5836.34i −0.350680 + 0.661453i
\(428\) −6938.40 + 1527.26i −0.783599 + 0.172483i
\(429\) 5313.70 + 2458.38i 0.598014 + 0.276671i
\(430\) 5131.88 + 12880.0i 0.575538 + 1.44449i
\(431\) −597.593 11022.0i −0.0667867 1.23181i −0.819352 0.573290i \(-0.805667\pi\)
0.752566 0.658517i \(-0.228816\pi\)
\(432\) 968.077 + 1427.81i 0.107816 + 0.159017i
\(433\) 1023.73 + 1205.23i 0.113620 + 0.133764i 0.816032 0.578007i \(-0.196169\pi\)
−0.702412 + 0.711771i \(0.747894\pi\)
\(434\) 7248.58 + 13672.3i 0.801712 + 1.51219i
\(435\) −5877.92 + 1980.50i −0.647873 + 0.218294i
\(436\) 20.7257 382.263i 0.00227656 0.0419887i
\(437\) 2392.23 1439.36i 0.261867 0.157560i
\(438\) −1883.49 6783.73i −0.205472 0.740043i
\(439\) −1573.10 + 5665.78i −0.171024 + 0.615975i 0.827490 + 0.561481i \(0.189768\pi\)
−0.998514 + 0.0544935i \(0.982646\pi\)
\(440\) 18.6436 + 11.2175i 0.00202000 + 0.00121539i
\(441\) 131.494 193.939i 0.0141987 0.0209415i
\(442\) −8912.53 + 969.296i −0.959108 + 0.104309i
\(443\) 551.634 59.9938i 0.0591623 0.00643429i −0.0784900 0.996915i \(-0.525010\pi\)
0.137652 + 0.990481i \(0.456044\pi\)
\(444\) 128.476 189.487i 0.0137324 0.0202538i
\(445\) −5036.97 3030.64i −0.536573 0.322845i
\(446\) −2612.95 + 9410.98i −0.277414 + 0.999154i
\(447\) −2778.34 10006.7i −0.293985 1.05884i
\(448\) 7837.17 4715.47i 0.826499 0.497288i
\(449\) 676.426 12475.9i 0.0710969 1.31130i −0.717571 0.696485i \(-0.754746\pi\)
0.788668 0.614819i \(-0.210771\pi\)
\(450\) 1822.16 613.957i 0.190883 0.0643160i
\(451\) −10228.9 19293.8i −1.06799 2.01444i
\(452\) −6760.45 7959.02i −0.703507 0.828232i
\(453\) −953.400 1406.16i −0.0988844 0.145844i
\(454\) −346.971 6399.51i −0.0358682 0.661550i
\(455\) 2307.30 + 5790.89i 0.237732 + 0.596662i
\(456\) 12.1401 + 5.61659i 0.00124673 + 0.000576800i
\(457\) 13671.3 3009.28i 1.39938 0.308027i 0.549716 0.835352i \(-0.314736\pi\)
0.849664 + 0.527325i \(0.176805\pi\)
\(458\) −610.457 + 1151.44i −0.0622812 + 0.117475i
\(459\) 236.515 1442.68i 0.0240514 0.146707i
\(460\) −1842.65 + 1400.75i −0.186770 + 0.141979i
\(461\) −6290.77 + 2910.42i −0.635554 + 0.294039i −0.711086 0.703105i \(-0.751796\pi\)
0.0755323 + 0.997143i \(0.475934\pi\)
\(462\) 7319.05 + 6932.97i 0.737041 + 0.698162i
\(463\) −2486.89 15169.4i −0.249623 1.52264i −0.752683 0.658383i \(-0.771241\pi\)
0.503059 0.864252i \(-0.332208\pi\)
\(464\) 14792.8 + 4984.27i 1.48004 + 0.498684i
\(465\) −2041.05 + 5122.65i −0.203551 + 0.510876i
\(466\) −2301.94 + 2180.52i −0.228832 + 0.216761i
\(467\) −839.930 638.498i −0.0832276 0.0632680i 0.562733 0.826639i \(-0.309750\pi\)
−0.645961 + 0.763371i \(0.723543\pi\)
\(468\) −2914.35 641.497i −0.287854 0.0633615i
\(469\) 4985.81 5869.75i 0.490882 0.577911i
\(470\) 20825.9 + 2264.95i 2.04389 + 0.222286i
\(471\) −6267.17 −0.613113
\(472\) −24.6889 0.852717i −0.00240762 8.31557e-5i
\(473\) 19311.9 1.87730
\(474\) −1869.70 203.343i −0.181178 0.0197043i
\(475\) −2827.14 + 3328.37i −0.273091 + 0.321507i
\(476\) −7544.41 1660.65i −0.726466 0.159907i
\(477\) −2157.09 1639.78i −0.207058 0.157401i
\(478\) 13253.8 12554.7i 1.26823 1.20133i
\(479\) −1265.76 + 3176.81i −0.120739 + 0.303032i −0.976907 0.213666i \(-0.931460\pi\)
0.856168 + 0.516698i \(0.172839\pi\)
\(480\) 6161.48 + 2076.04i 0.585899 + 0.197412i
\(481\) −63.7438 388.820i −0.00604255 0.0368579i
\(482\) −8850.03 8383.20i −0.836324 0.792208i
\(483\) −1654.51 + 765.459i −0.155865 + 0.0721110i
\(484\) 5702.29 4334.77i 0.535527 0.407097i
\(485\) 294.709 1797.64i 0.0275918 0.168303i
\(486\) 455.487 859.139i 0.0425130 0.0801880i
\(487\) 11023.4 2426.43i 1.02570 0.225774i 0.329906 0.944014i \(-0.392983\pi\)
0.695795 + 0.718240i \(0.255052\pi\)
\(488\) −18.3564 8.49258i −0.00170278 0.000787789i
\(489\) 2010.36 + 5045.61i 0.185913 + 0.466606i
\(490\) −47.7310 880.347i −0.00440055 0.0811633i
\(491\) 2920.24 + 4307.03i 0.268408 + 0.395873i 0.937877 0.346967i \(-0.112789\pi\)
−0.669469 + 0.742840i \(0.733478\pi\)
\(492\) 7205.61 + 8483.10i 0.660273 + 0.777333i
\(493\) −6196.58 11688.0i −0.566085 1.06775i
\(494\) 12834.3 4324.39i 1.16891 0.393853i
\(495\) −194.487 + 3587.11i −0.0176597 + 0.325714i
\(496\) 11891.2 7154.68i 1.07647 0.647691i
\(497\) 2472.79 + 8906.18i 0.223179 + 0.803817i
\(498\) 222.188 800.249i 0.0199930 0.0720081i
\(499\) −2663.84 1602.78i −0.238978 0.143788i 0.391028 0.920379i \(-0.372120\pi\)
−0.630005 + 0.776591i \(0.716947\pi\)
\(500\) 6788.82 10012.8i 0.607211 0.895569i
\(501\) 7715.74 839.137i 0.688052 0.0748301i
\(502\) −9649.55 + 1049.45i −0.857930 + 0.0933055i
\(503\) −5568.83 + 8213.40i −0.493642 + 0.728067i −0.990157 0.139961i \(-0.955302\pi\)
0.496515 + 0.868028i \(0.334613\pi\)
\(504\) −7.48409 4.50303i −0.000661444 0.000397978i
\(505\) 626.189 2255.33i 0.0551783 0.198734i
\(506\) 1723.55 + 6207.66i 0.151425 + 0.545384i
\(507\) 1246.88 750.221i 0.109222 0.0657170i
\(508\) −809.700 + 14934.0i −0.0707177 + 1.30431i
\(509\) −11391.5 + 3838.23i −0.991980 + 0.334237i −0.768065 0.640372i \(-0.778780\pi\)
−0.223915 + 0.974609i \(0.571884\pi\)
\(510\) −2576.60 4859.98i −0.223713 0.421968i
\(511\) −6759.23 7957.58i −0.585148 0.688890i
\(512\) −9198.32 13566.5i −0.793969 1.17102i
\(513\) 119.566 + 2205.27i 0.0102904 + 0.189795i
\(514\) 1266.71 + 3179.21i 0.108701 + 0.272819i
\(515\) 1842.80 + 852.569i 0.157676 + 0.0729489i
\(516\) −9612.87 + 2115.95i −0.820122 + 0.180523i
\(517\) 13667.7 25780.0i 1.16268 2.19304i
\(518\) 109.760 669.506i 0.00930999 0.0567884i
\(519\) −7811.79 + 5938.37i −0.660693 + 0.502246i
\(520\) −17.3221 + 8.01405i −0.00146082 + 0.000675845i
\(521\) 5215.22 + 4940.12i 0.438547 + 0.415414i 0.874856 0.484383i \(-0.160956\pi\)
−0.436309 + 0.899797i \(0.643715\pi\)
\(522\) −1423.57 8683.41i −0.119364 0.728089i
\(523\) −19730.9 6648.11i −1.64966 0.555834i −0.667617 0.744505i \(-0.732686\pi\)
−0.982041 + 0.188670i \(0.939582\pi\)
\(524\) −5656.39 + 14196.5i −0.471566 + 1.18354i
\(525\) 2070.19 1960.99i 0.172096 0.163018i
\(526\) −11530.2 8765.04i −0.955781 0.726566i
\(527\) −11486.0 2528.26i −0.949408 0.208981i
\(528\) 5852.91 6890.58i 0.482415 0.567943i
\(529\) 10937.5 + 1189.53i 0.898950 + 0.0977667i
\(530\) −10195.3 −0.835573
\(531\) −1784.97 3667.37i −0.145877 0.299718i
\(532\) 11670.0 0.951046
\(533\) 19043.6 + 2071.11i 1.54760 + 0.168311i
\(534\) 5398.83 6355.99i 0.437510 0.515076i
\(535\) −7326.92 1612.78i −0.592094 0.130330i
\(536\) 18.7721 + 14.2702i 0.00151275 + 0.00114996i
\(537\) 4712.01 4463.45i 0.378656 0.358682i
\(538\) 9798.48 24592.3i 0.785209 1.97073i
\(539\) −1163.73 392.108i −0.0929974 0.0313345i
\(540\) −296.219 1806.86i −0.0236060 0.143990i
\(541\) 3287.27 + 3113.87i 0.261240 + 0.247460i 0.807097 0.590419i \(-0.201037\pi\)
−0.545857 + 0.837878i \(0.683796\pi\)
\(542\) 16803.4 7774.08i 1.33168 0.616099i
\(543\) 7633.98 5803.20i 0.603325 0.458636i
\(544\) −2243.46 + 13684.5i −0.176816 + 1.07853i
\(545\) 189.359 357.169i 0.0148830 0.0280724i
\(546\) −8636.59 + 1901.06i −0.676945 + 0.149007i
\(547\) 3253.81 + 1505.37i 0.254338 + 0.117669i 0.542916 0.839787i \(-0.317320\pi\)
−0.288578 + 0.957456i \(0.593182\pi\)
\(548\) 993.667 + 2493.92i 0.0774587 + 0.194407i
\(549\) −180.790 3334.47i −0.0140545 0.259220i
\(550\) −5655.24 8340.85i −0.438437 0.646646i
\(551\) 12937.8 + 15231.6i 1.00031 + 1.17765i
\(552\) −2.61450 4.93147i −0.000201595 0.000380249i
\(553\) −2643.11 + 890.568i −0.203249 + 0.0684825i
\(554\) −1365.30 + 25181.5i −0.104704 + 1.93115i
\(555\) 207.149 124.638i 0.0158432 0.00953256i
\(556\) −3044.15 10964.1i −0.232196 0.836294i
\(557\) −4316.95 + 15548.2i −0.328393 + 1.18276i 0.596524 + 0.802595i \(0.296548\pi\)
−0.924917 + 0.380170i \(0.875866\pi\)
\(558\) −6703.07 4033.10i −0.508537 0.305976i
\(559\) −9506.69 + 14021.3i −0.719302 + 1.06089i
\(560\) 9569.33 1040.73i 0.722104 0.0785335i
\(561\) −7616.96 + 828.395i −0.573241 + 0.0623438i
\(562\) 14132.8 20844.3i 1.06078 1.56453i
\(563\) −12530.1 7539.10i −0.937975 0.564361i −0.0375130 0.999296i \(-0.511944\pi\)
−0.900462 + 0.434936i \(0.856771\pi\)
\(564\) −3978.70 + 14330.0i −0.297045 + 1.06986i
\(565\) −2950.15 10625.5i −0.219670 0.791181i
\(566\) 11217.4 6749.26i 0.833041 0.501224i
\(567\) 78.0729 1439.97i 0.00578263 0.106654i
\(568\) −26.8191 + 9.03639i −0.00198117 + 0.000667533i
\(569\) 2717.43 + 5125.62i 0.200212 + 0.377640i 0.963205 0.268766i \(-0.0866160\pi\)
−0.762993 + 0.646406i \(0.776271\pi\)
\(570\) 5379.66 + 6333.42i 0.395314 + 0.465400i
\(571\) 4374.84 + 6452.41i 0.320633 + 0.472898i 0.953513 0.301352i \(-0.0974378\pi\)
−0.632880 + 0.774250i \(0.718127\pi\)
\(572\) 846.704 + 15616.5i 0.0618924 + 1.14154i
\(573\) −1759.87 4416.93i −0.128306 0.322024i
\(574\) 29935.8 + 13849.8i 2.17682 + 1.00710i
\(575\) 1779.66 391.732i 0.129073 0.0284110i
\(576\) −2165.77 + 4085.08i −0.156667 + 0.295506i
\(577\) 3549.63 21651.8i 0.256106 1.56217i −0.475047 0.879960i \(-0.657569\pi\)
0.731152 0.682214i \(-0.238983\pi\)
\(578\) −6311.65 + 4797.99i −0.454204 + 0.345277i
\(579\) 14525.4 6720.16i 1.04258 0.482349i
\(580\) −12028.6 11394.1i −0.861140 0.815715i
\(581\) −199.260 1215.43i −0.0142284 0.0867896i
\(582\) 2448.99 + 825.162i 0.174423 + 0.0587699i
\(583\) −5256.24 + 13192.2i −0.373398 + 0.937159i
\(584\) 23.2084 21.9841i 0.00164447 0.00155772i
\(585\) −2508.66 1907.03i −0.177300 0.134780i
\(586\) −15544.2 3421.55i −1.09578 0.241199i
\(587\) 8522.77 10033.8i 0.599271 0.705517i −0.375977 0.926629i \(-0.622693\pi\)
0.975248 + 0.221112i \(0.0709687\pi\)
\(588\) 622.232 + 67.6719i 0.0436402 + 0.00474616i
\(589\) 17766.9 1.24291
\(590\) −13697.5 6920.82i −0.955792 0.482925i
\(591\) −1430.71 −0.0995795
\(592\) −604.851 65.7815i −0.0419919 0.00456690i
\(593\) 3959.92 4661.98i 0.274224 0.322841i −0.607760 0.794121i \(-0.707932\pi\)
0.881984 + 0.471280i \(0.156208\pi\)
\(594\) −4977.18 1095.56i −0.343798 0.0756757i
\(595\) −6494.20 4936.76i −0.447456 0.340147i
\(596\) 20139.9 19077.5i 1.38417 1.31115i
\(597\) 2983.24 7487.37i 0.204516 0.513296i
\(598\) −5355.49 1804.47i −0.366224 0.123395i
\(599\) 2919.29 + 17806.9i 0.199130 + 1.21464i 0.877375 + 0.479805i \(0.159292\pi\)
−0.678245 + 0.734836i \(0.737259\pi\)
\(600\) 6.33851 + 6.00416i 0.000431281 + 0.000408531i
\(601\) −13765.5 + 6368.61i −0.934288 + 0.432248i −0.827140 0.561995i \(-0.810034\pi\)
−0.107148 + 0.994243i \(0.534172\pi\)
\(602\) −23221.6 + 17652.6i −1.57216 + 1.19512i
\(603\) −629.854 + 3841.94i −0.0425367 + 0.259462i
\(604\) 2125.69 4009.48i 0.143200 0.270105i
\(605\) 7387.09 1626.02i 0.496410 0.109268i
\(606\) 3013.65 + 1394.26i 0.202015 + 0.0934623i
\(607\) 8466.70 + 21249.8i 0.566149 + 1.42093i 0.881605 + 0.471987i \(0.156463\pi\)
−0.315456 + 0.948940i \(0.602157\pi\)
\(608\) −1134.14 20918.0i −0.0756506 1.39529i
\(609\) −7323.13 10800.8i −0.487272 0.718672i
\(610\) −8134.32 9576.46i −0.539916 0.635639i
\(611\) 11989.2 + 22614.0i 0.793832 + 1.49733i
\(612\) 3700.72 1246.92i 0.244432 0.0823589i
\(613\) −1470.01 + 27112.7i −0.0968564 + 1.78641i 0.397949 + 0.917407i \(0.369722\pi\)
−0.494806 + 0.869004i \(0.664761\pi\)
\(614\) 23718.3 14270.8i 1.55894 0.937985i
\(615\) 3144.41 + 11325.1i 0.206170 + 0.742559i
\(616\) −12.2464 + 44.1074i −0.000801006 + 0.00288496i
\(617\) −17915.5 10779.4i −1.16897 0.703344i −0.207491 0.978237i \(-0.566530\pi\)
−0.961475 + 0.274893i \(0.911358\pi\)
\(618\) −1616.51 + 2384.17i −0.105219 + 0.155187i
\(619\) 17818.2 1937.85i 1.15699 0.125830i 0.490565 0.871404i \(-0.336790\pi\)
0.666422 + 0.745574i \(0.267825\pi\)
\(620\) −14643.5 + 1592.57i −0.948542 + 0.103160i
\(621\) 517.168 762.766i 0.0334191 0.0492895i
\(622\) 13896.2 + 8361.05i 0.895797 + 0.538983i
\(623\) 3308.61 11916.5i 0.212771 0.766334i
\(624\) 2121.65 + 7641.50i 0.136112 + 0.490232i
\(625\) 5227.73 3145.42i 0.334575 0.201307i
\(626\) −142.997 + 2637.42i −0.00912988 + 0.168391i
\(627\) 10968.7 3695.78i 0.698639 0.235399i
\(628\) −7841.59 14790.8i −0.498270 0.939837i
\(629\) 333.804 + 392.985i 0.0211600 + 0.0249115i
\(630\) −3045.03 4491.08i −0.192566 0.284014i
\(631\) 1222.70 + 22551.4i 0.0771394 + 1.42275i 0.739293 + 0.673384i \(0.235160\pi\)
−0.662153 + 0.749368i \(0.730357\pi\)
\(632\) −3.16087 7.93319i −0.000198944 0.000499312i
\(633\) −8469.37 3918.35i −0.531796 0.246035i
\(634\) 8244.96 1814.85i 0.516482 0.113686i
\(635\) −7397.77 + 13953.7i −0.462318 + 0.872023i
\(636\) 1170.96 7142.56i 0.0730058 0.445316i
\(637\) 857.559 651.900i 0.0533403 0.0405482i
\(638\) −41854.2 + 19363.8i −2.59721 + 1.20160i
\(639\) −3392.25 3213.31i −0.210008 0.198931i
\(640\) 9.55240 + 58.2671i 0.000589987 + 0.00359876i
\(641\) −12175.2 4102.29i −0.750219 0.252778i −0.0818871 0.996642i \(-0.526095\pi\)
−0.668332 + 0.743864i \(0.732991\pi\)
\(642\) 3939.44 9887.26i 0.242177 0.607818i
\(643\) −3794.94 + 3594.76i −0.232749 + 0.220472i −0.795181 0.606372i \(-0.792624\pi\)
0.562432 + 0.826844i \(0.309866\pi\)
\(644\) −3876.67 2946.97i −0.237208 0.180321i
\(645\) −10151.1 2234.44i −0.619691 0.136404i
\(646\) −11473.8 + 13508.0i −0.698810 + 0.822703i
\(647\) −24726.1 2689.13i −1.50245 0.163401i −0.680410 0.732832i \(-0.738198\pi\)
−0.822039 + 0.569431i \(0.807164\pi\)
\(648\) 4.41537 0.000267673
\(649\) −16017.1 + 14155.8i −0.968759 + 0.856187i
\(650\) 8839.73 0.533419
\(651\) −11533.2 1254.32i −0.694352 0.0755154i
\(652\) −9392.48 + 11057.7i −0.564168 + 0.664190i
\(653\) 12121.3 + 2668.11i 0.726408 + 0.159895i 0.562755 0.826623i \(-0.309741\pi\)
0.163653 + 0.986518i \(0.447672\pi\)
\(654\) 456.563 + 347.070i 0.0272982 + 0.0207516i
\(655\) −11715.8 + 11097.8i −0.698890 + 0.662024i
\(656\) 10948.6 27479.0i 0.651634 1.63548i
\(657\) 5001.73 + 1685.28i 0.297011 + 0.100075i
\(658\) 7130.20 + 43492.3i 0.422438 + 2.57676i
\(659\) −13176.1 12481.0i −0.778857 0.737772i 0.190962 0.981597i \(-0.438839\pi\)
−0.969819 + 0.243825i \(0.921598\pi\)
\(660\) −8709.08 + 4029.25i −0.513637 + 0.237634i
\(661\) 4520.56 3436.44i 0.266005 0.202212i −0.463666 0.886010i \(-0.653466\pi\)
0.729671 + 0.683798i \(0.239673\pi\)
\(662\) −1752.88 + 10692.1i −0.102912 + 0.627734i
\(663\) 3148.15 5938.04i 0.184410 0.347835i
\(664\) 3.68293 0.810674i 0.000215249 4.73799e-5i
\(665\) 11184.4 + 5174.47i 0.652201 + 0.301740i
\(666\) 126.945 + 318.607i 0.00738589 + 0.0185372i
\(667\) −451.474 8326.94i −0.0262086 0.483389i
\(668\) 11634.5 + 17159.5i 0.673878 + 0.993896i
\(669\) −4740.24 5580.64i −0.273944 0.322511i
\(670\) 6861.63 + 12942.4i 0.395653 + 0.746281i
\(671\) −16585.2 + 5588.20i −0.954194 + 0.321505i
\(672\) −740.560 + 13658.8i −0.0425115 + 0.784078i
\(673\) −21431.3 + 12894.8i −1.22751 + 0.738569i −0.973512 0.228635i \(-0.926574\pi\)
−0.254000 + 0.967204i \(0.581746\pi\)
\(674\) −8014.69 28866.3i −0.458033 1.64969i
\(675\) −385.641 + 1388.95i −0.0219901 + 0.0792012i
\(676\) 3330.67 + 2004.00i 0.189501 + 0.114019i
\(677\) −12054.3 + 17778.8i −0.684322 + 1.00930i 0.313886 + 0.949461i \(0.398369\pi\)
−0.998208 + 0.0598386i \(0.980941\pi\)
\(678\) 15552.4 1691.42i 0.880951 0.0958092i
\(679\) 3810.00 414.362i 0.215338 0.0234194i
\(680\) 14.0167 20.6731i 0.000790465 0.00116585i
\(681\) 4116.89 + 2477.05i 0.231658 + 0.139384i
\(682\) −10968.3 + 39504.4i −0.615835 + 2.21804i
\(683\) −3033.17 10924.5i −0.169928 0.612027i −0.998630 0.0523353i \(-0.983334\pi\)
0.828701 0.559691i \(-0.189080\pi\)
\(684\) −5054.92 + 3041.45i −0.282573 + 0.170018i
\(685\) −153.479 + 2830.75i −0.00856077 + 0.157894i
\(686\) 24915.4 8394.97i 1.38670 0.467232i
\(687\) −457.648 863.216i −0.0254154 0.0479385i
\(688\) 16934.8 + 19937.1i 0.938418 + 1.10479i
\(689\) −6990.61 10310.4i −0.386532 0.570093i
\(690\) −187.727 3462.42i −0.0103575 0.191032i
\(691\) 693.730 + 1741.13i 0.0381921 + 0.0958550i 0.946836 0.321718i \(-0.104260\pi\)
−0.908644 + 0.417573i \(0.862881\pi\)
\(692\) −23789.1 11006.0i −1.30683 0.604602i
\(693\) −7381.13 + 1624.71i −0.404597 + 0.0890586i
\(694\) −994.050 + 1874.98i −0.0543712 + 0.102555i
\(695\) 1943.97 11857.7i 0.106099 0.647176i
\(696\) 31.8075 24.1795i 0.00173227 0.00131684i
\(697\) −22751.2 + 10525.8i −1.23639 + 0.572016i
\(698\) −20407.1 19330.6i −1.10662 1.04824i
\(699\) −384.563 2345.73i −0.0208090 0.126929i
\(700\) 7218.28 + 2432.12i 0.389750 + 0.131322i
\(701\) −6677.86 + 16760.2i −0.359799 + 0.903028i 0.631970 + 0.774993i \(0.282246\pi\)
−0.991770 + 0.128035i \(0.959133\pi\)
\(702\) 3245.54 3074.34i 0.174494 0.165290i
\(703\) −620.100 471.388i −0.0332681 0.0252898i
\(704\) 23665.7 + 5209.22i 1.26695 + 0.278878i
\(705\) −10167.1 + 11969.6i −0.543142 + 0.639436i
\(706\) −51310.0 5580.30i −2.73524 0.297475i
\(707\) 4924.37 0.261952
\(708\) 6421.77 8801.27i 0.340883 0.467192i
\(709\) −12039.8 −0.637750 −0.318875 0.947797i \(-0.603305\pi\)
−0.318875 + 0.947797i \(0.603305\pi\)
\(710\) −17478.1 1900.86i −0.923860 0.100476i
\(711\) 912.780 1074.61i 0.0481462 0.0566821i
\(712\) 36.9810 + 8.14013i 0.00194652 + 0.000428461i
\(713\) −5902.04 4486.61i −0.310004 0.235659i
\(714\) 8401.77 7958.58i 0.440376 0.417146i
\(715\) −6112.91 + 15342.2i −0.319734 + 0.802472i
\(716\) 16429.7 + 5535.80i 0.857550 + 0.288942i
\(717\) 2214.18 + 13505.9i 0.115328 + 0.703470i
\(718\) −11650.1 11035.6i −0.605541 0.573599i
\(719\) −34355.9 + 15894.7i −1.78200 + 0.824441i −0.811119 + 0.584882i \(0.801141\pi\)
−0.970882 + 0.239559i \(0.922997\pi\)
\(720\) −3873.79 + 2944.78i −0.200510 + 0.152424i
\(721\) −691.099 + 4215.52i −0.0356975 + 0.217745i
\(722\) −315.536 + 595.165i −0.0162646 + 0.0306783i
\(723\) 8925.10 1964.56i 0.459098 0.101055i
\(724\) 23247.6 + 10755.5i 1.19335 + 0.552105i
\(725\) 4828.10 + 12117.6i 0.247325 + 0.620740i
\(726\) 580.941 + 10714.8i 0.0296980 + 0.547747i
\(727\) −8919.57 13155.4i −0.455032 0.671122i 0.529100 0.848560i \(-0.322530\pi\)
−0.984132 + 0.177437i \(0.943219\pi\)
\(728\) −25.9954 30.6041i −0.00132342 0.00155806i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 18819.7 6341.10i 0.954176 0.321499i
\(731\) 1200.19 22136.3i 0.0607261 1.12003i
\(732\) 7643.30 4598.82i 0.385935 0.232209i
\(733\) −3541.33 12754.7i −0.178447 0.642709i −0.997607 0.0691433i \(-0.977973\pi\)
0.819159 0.573566i \(-0.194440\pi\)
\(734\) −11961.7 + 43082.1i −0.601518 + 2.16647i
\(735\) 566.339 + 340.755i 0.0284214 + 0.0171006i
\(736\) −4905.59 + 7235.21i −0.245683 + 0.362355i
\(737\) 20284.4 2206.06i 1.01382 0.110260i
\(738\) −16576.4 + 1802.80i −0.826812 + 0.0899212i
\(739\) −1727.49 + 2547.86i −0.0859902 + 0.126826i −0.868251 0.496125i \(-0.834756\pi\)
0.782261 + 0.622951i \(0.214066\pi\)
\(740\) 553.339 + 332.933i 0.0274880 + 0.0165390i
\(741\) −2716.25 + 9783.06i −0.134661 + 0.485006i
\(742\) −5738.30 20667.5i −0.283908 1.02254i
\(743\) 26260.7 15800.5i 1.29665 0.780168i 0.311234 0.950333i \(-0.399258\pi\)
0.985416 + 0.170165i \(0.0544300\pi\)
\(744\) 1.92305 35.4686i 9.47614e−5 0.00174777i
\(745\) 27761.0 9353.76i 1.36521 0.459994i
\(746\) 12910.6 + 24352.0i 0.633635 + 1.19516i
\(747\) 403.080 + 474.542i 0.0197429 + 0.0232431i
\(748\) −11485.5 16939.9i −0.561433 0.828052i
\(749\) −854.516 15760.6i −0.0416867 0.768866i
\(750\) 6707.92 + 16835.6i 0.326585 + 0.819666i
\(751\) 14536.2 + 6725.16i 0.706302 + 0.326770i 0.739948 0.672664i \(-0.234850\pi\)
−0.0336462 + 0.999434i \(0.510712\pi\)
\(752\) 38599.9 8496.47i 1.87180 0.412014i
\(753\) 3408.49 6429.09i 0.164956 0.311141i
\(754\) 6544.58 39920.2i 0.316100 1.92813i
\(755\) 3815.05 2900.13i 0.183899 0.139797i
\(756\) 3496.08 1617.46i 0.168189 0.0778127i
\(757\) −7214.11 6833.57i −0.346369 0.328098i 0.494662 0.869086i \(-0.335292\pi\)
−0.841031 + 0.540987i \(0.818051\pi\)
\(758\) −6456.61 39383.6i −0.309386 1.88717i
\(759\) −4576.99 1542.17i −0.218886 0.0737511i
\(760\) −13.9660 + 35.0520i −0.000666578 + 0.00167299i
\(761\) 12034.2 11399.4i 0.573245 0.543007i −0.345213 0.938524i \(-0.612193\pi\)
0.918458 + 0.395518i \(0.129435\pi\)
\(762\) −17836.7 13559.1i −0.847975 0.644614i
\(763\) 830.620 + 182.833i 0.0394109 + 0.00867498i
\(764\) 8222.18 9679.90i 0.389356 0.458385i
\(765\) 4099.63 + 445.862i 0.193755 + 0.0210721i
\(766\) 45962.2 2.16799
\(767\) −2393.04 18597.6i −0.112657 0.875515i
\(768\) 12246.0 0.575379
\(769\) −12091.2 1315.00i −0.566996 0.0616645i −0.179868 0.983691i \(-0.557567\pi\)
−0.387128 + 0.922026i \(0.626533\pi\)
\(770\) −18410.0 + 21673.9i −0.861623 + 1.01438i
\(771\) −2505.63 551.530i