Properties

Label 177.4.e.b.4.12
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 4.12
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.12

$q$-expansion

\(f(q)\) \(=\) \(q+(3.13622 + 0.341085i) q^{2} +(1.94216 - 2.28649i) q^{3} +(1.90660 + 0.419674i) q^{4} +(-14.9247 - 11.3455i) q^{5} +(6.87093 - 6.50849i) q^{6} +(-10.7338 + 26.9398i) q^{7} +(-18.0802 - 6.09194i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(3.13622 + 0.341085i) q^{2} +(1.94216 - 2.28649i) q^{3} +(1.90660 + 0.419674i) q^{4} +(-14.9247 - 11.3455i) q^{5} +(6.87093 - 6.50849i) q^{6} +(-10.7338 + 26.9398i) q^{7} +(-18.0802 - 6.09194i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-42.9375 - 40.6726i) q^{10} +(-8.96676 + 4.14846i) q^{11} +(4.66250 - 3.54434i) q^{12} +(12.5770 - 76.7162i) q^{13} +(-42.8524 + 80.8282i) q^{14} +(-54.9275 + 12.0904i) q^{15} +(-68.8003 - 31.8304i) q^{16} +(21.7046 + 54.4745i) q^{17} +(-1.53714 - 28.3508i) q^{18} +(-65.6467 - 96.8217i) q^{19} +(-23.6940 - 27.8948i) q^{20} +(40.7508 + 76.8641i) q^{21} +(-29.5367 + 9.95209i) q^{22} +(-5.77306 + 106.478i) q^{23} +(-49.0439 + 29.5087i) q^{24} +(60.5864 + 218.212i) q^{25} +(65.6110 - 236.309i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(-31.7710 + 46.8587i) q^{28} +(-184.443 + 20.0594i) q^{29} +(-176.389 + 19.1834i) q^{30} +(170.418 - 251.347i) q^{31} +(-74.1326 - 44.6041i) q^{32} +(-7.92946 + 28.5593i) q^{33} +(49.4901 + 178.247i) q^{34} +(465.844 - 280.289i) q^{35} +(0.951230 - 17.5444i) q^{36} +(204.283 - 68.8310i) q^{37} +(-172.858 - 326.046i) q^{38} +(-150.984 - 177.752i) q^{39} +(200.727 + 296.050i) q^{40} +(1.98400 + 36.5927i) q^{41} +(101.586 + 254.962i) q^{42} +(-81.8963 - 37.8892i) q^{43} +(-18.8370 + 4.14634i) q^{44} +(-79.0332 + 149.072i) q^{45} +(-54.4236 + 331.969i) q^{46} +(119.280 - 90.6745i) q^{47} +(-206.401 + 95.4912i) q^{48} +(-361.523 - 342.452i) q^{49} +(115.583 + 705.028i) q^{50} +(166.709 + 56.1708i) q^{51} +(56.1750 - 140.989i) q^{52} +(-134.641 + 127.539i) q^{53} +(-67.8091 - 51.5471i) q^{54} +(180.893 + 39.8175i) q^{55} +(358.186 - 421.689i) q^{56} +(-348.878 - 37.9428i) q^{57} -585.297 q^{58} +(97.7862 - 442.512i) q^{59} -109.799 q^{60} +(-308.570 - 33.5590i) q^{61} +(620.199 - 730.155i) q^{62} +(254.893 + 56.1062i) q^{63} +(265.511 + 201.836i) q^{64} +(-1058.09 + 1002.28i) q^{65} +(-34.6097 + 86.8639i) q^{66} +(276.960 + 93.3186i) q^{67} +(18.5205 + 112.970i) q^{68} +(232.248 + 219.997i) q^{69} +(1556.59 - 720.157i) q^{70} +(-164.667 + 125.177i) q^{71} +(-27.7797 + 169.449i) q^{72} +(219.899 - 414.774i) q^{73} +(664.155 - 146.191i) q^{74} +(616.608 + 285.273i) q^{75} +(-84.5284 - 212.150i) q^{76} +(-15.5114 - 286.092i) q^{77} +(-412.891 - 608.969i) q^{78} +(-665.516 - 783.505i) q^{79} +(665.694 + 1255.63i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-6.25895 + 115.439i) q^{82} +(-738.282 + 444.209i) q^{83} +(45.4375 + 163.651i) q^{84} +(294.104 - 1059.27i) q^{85} +(-243.922 - 146.763i) q^{86} +(-312.352 + 460.685i) q^{87} +(187.393 - 20.3803i) q^{88} +(-1030.78 + 112.104i) q^{89} +(-298.712 + 440.568i) q^{90} +(1931.72 + 1162.28i) q^{91} +(-55.6929 + 200.588i) q^{92} +(-243.724 - 877.815i) q^{93} +(405.017 - 243.691i) q^{94} +(-118.729 + 2189.83i) q^{95} +(-245.964 + 82.8749i) q^{96} +(711.167 + 1341.40i) q^{97} +(-1017.01 - 1197.32i) q^{98} +(49.9003 + 73.5974i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.13622 + 0.341085i 1.10882 + 0.120592i 0.644156 0.764894i \(-0.277209\pi\)
0.464667 + 0.885486i \(0.346174\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 1.90660 + 0.419674i 0.238325 + 0.0524593i
\(5\) −14.9247 11.3455i −1.33491 1.01477i −0.997296 0.0734847i \(-0.976588\pi\)
−0.337611 0.941286i \(-0.609619\pi\)
\(6\) 6.87093 6.50849i 0.467508 0.442847i
\(7\) −10.7338 + 26.9398i −0.579571 + 1.45461i 0.288162 + 0.957582i \(0.406956\pi\)
−0.867733 + 0.497031i \(0.834423\pi\)
\(8\) −18.0802 6.09194i −0.799042 0.269228i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −42.9375 40.6726i −1.35780 1.28618i
\(11\) −8.96676 + 4.14846i −0.245780 + 0.113710i −0.538912 0.842362i \(-0.681164\pi\)
0.293132 + 0.956072i \(0.405302\pi\)
\(12\) 4.66250 3.54434i 0.112162 0.0852635i
\(13\) 12.5770 76.7162i 0.268325 1.63671i −0.417309 0.908765i \(-0.637027\pi\)
0.685634 0.727946i \(-0.259525\pi\)
\(14\) −42.8524 + 80.8282i −0.818056 + 1.54302i
\(15\) −54.9275 + 12.0904i −0.945481 + 0.208116i
\(16\) −68.8003 31.8304i −1.07500 0.497350i
\(17\) 21.7046 + 54.4745i 0.309656 + 0.777177i 0.998627 + 0.0523882i \(0.0166833\pi\)
−0.688971 + 0.724789i \(0.741937\pi\)
\(18\) −1.53714 28.3508i −0.0201281 0.371242i
\(19\) −65.6467 96.8217i −0.792652 1.16907i −0.982317 0.187226i \(-0.940050\pi\)
0.189665 0.981849i \(-0.439260\pi\)
\(20\) −23.6940 27.8948i −0.264907 0.311873i
\(21\) 40.7508 + 76.8641i 0.423455 + 0.798720i
\(22\) −29.5367 + 9.95209i −0.286239 + 0.0964451i
\(23\) −5.77306 + 106.478i −0.0523376 + 0.965311i 0.847967 + 0.530050i \(0.177827\pi\)
−0.900304 + 0.435261i \(0.856656\pi\)
\(24\) −49.0439 + 29.5087i −0.417126 + 0.250977i
\(25\) 60.5864 + 218.212i 0.484691 + 1.74570i
\(26\) 65.6110 236.309i 0.494899 1.78246i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) −31.7710 + 46.8587i −0.214434 + 0.316267i
\(29\) −184.443 + 20.0594i −1.18104 + 0.128446i −0.677499 0.735524i \(-0.736936\pi\)
−0.503544 + 0.863970i \(0.667971\pi\)
\(30\) −176.389 + 19.1834i −1.07347 + 0.116747i
\(31\) 170.418 251.347i 0.987353 1.45624i 0.100087 0.994979i \(-0.468088\pi\)
0.887266 0.461258i \(-0.152602\pi\)
\(32\) −74.1326 44.6041i −0.409529 0.246405i
\(33\) −7.92946 + 28.5593i −0.0418286 + 0.150653i
\(34\) 49.4901 + 178.247i 0.249632 + 0.899093i
\(35\) 465.844 280.289i 2.24977 1.35364i
\(36\) 0.951230 17.5444i 0.00440384 0.0812241i
\(37\) 204.283 68.8310i 0.907674 0.305831i 0.173533 0.984828i \(-0.444482\pi\)
0.734141 + 0.678997i \(0.237585\pi\)
\(38\) −172.858 326.046i −0.737930 1.39188i
\(39\) −150.984 177.752i −0.619918 0.729824i
\(40\) 200.727 + 296.050i 0.793442 + 1.17024i
\(41\) 1.98400 + 36.5927i 0.00755727 + 0.139386i 0.999877 + 0.0156860i \(0.00499320\pi\)
−0.992320 + 0.123700i \(0.960524\pi\)
\(42\) 101.586 + 254.962i 0.373217 + 0.936704i
\(43\) −81.8963 37.8892i −0.290443 0.134373i 0.269257 0.963068i \(-0.413222\pi\)
−0.559701 + 0.828695i \(0.689084\pi\)
\(44\) −18.8370 + 4.14634i −0.0645406 + 0.0142065i
\(45\) −79.0332 + 149.072i −0.261813 + 0.493831i
\(46\) −54.4236 + 331.969i −0.174442 + 1.06405i
\(47\) 119.280 90.6745i 0.370188 0.281409i −0.403496 0.914981i \(-0.632205\pi\)
0.773684 + 0.633572i \(0.218412\pi\)
\(48\) −206.401 + 95.4912i −0.620654 + 0.287145i
\(49\) −361.523 342.452i −1.05400 0.998403i
\(50\) 115.583 + 705.028i 0.326919 + 1.99412i
\(51\) 166.709 + 56.1708i 0.457724 + 0.154225i
\(52\) 56.1750 140.989i 0.149809 0.375993i
\(53\) −134.641 + 127.539i −0.348950 + 0.330543i −0.842020 0.539447i \(-0.818633\pi\)
0.493070 + 0.869990i \(0.335875\pi\)
\(54\) −67.8091 51.5471i −0.170882 0.129901i
\(55\) 180.893 + 39.8175i 0.443483 + 0.0976180i
\(56\) 358.186 421.689i 0.854724 1.00626i
\(57\) −348.878 37.9428i −0.810702 0.0881691i
\(58\) −585.297 −1.32506
\(59\) 97.7862 442.512i 0.215774 0.976443i
\(60\) −109.799 −0.236249
\(61\) −308.570 33.5590i −0.647678 0.0704392i −0.221617 0.975134i \(-0.571134\pi\)
−0.426061 + 0.904694i \(0.640099\pi\)
\(62\) 620.199 730.155i 1.27041 1.49564i
\(63\) 254.893 + 56.1062i 0.509738 + 0.112202i
\(64\) 265.511 + 201.836i 0.518576 + 0.394211i
\(65\) −1058.09 + 1002.28i −2.01908 + 1.91257i
\(66\) −34.6097 + 86.8639i −0.0645479 + 0.162003i
\(67\) 276.960 + 93.3186i 0.505015 + 0.170159i 0.560265 0.828313i \(-0.310699\pi\)
−0.0552503 + 0.998473i \(0.517596\pi\)
\(68\) 18.5205 + 112.970i 0.0330285 + 0.201465i
\(69\) 232.248 + 219.997i 0.405208 + 0.383833i
\(70\) 1556.59 720.157i 2.65784 1.22965i
\(71\) −164.667 + 125.177i −0.275245 + 0.209235i −0.733685 0.679490i \(-0.762201\pi\)
0.458441 + 0.888725i \(0.348408\pi\)
\(72\) −27.7797 + 169.449i −0.0454704 + 0.277357i
\(73\) 219.899 414.774i 0.352565 0.665009i −0.642273 0.766476i \(-0.722009\pi\)
0.994839 + 0.101467i \(0.0323535\pi\)
\(74\) 664.155 146.191i 1.04333 0.229654i
\(75\) 616.608 + 285.273i 0.949330 + 0.439207i
\(76\) −84.5284 212.150i −0.127580 0.320201i
\(77\) −15.5114 286.092i −0.0229570 0.423418i
\(78\) −412.891 608.969i −0.599368 0.884002i
\(79\) −665.516 783.505i −0.947802 1.11584i −0.993148 0.116867i \(-0.962715\pi\)
0.0453456 0.998971i \(-0.485561\pi\)
\(80\) 665.694 + 1255.63i 0.930335 + 1.75480i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −6.25895 + 115.439i −0.00842909 + 0.155465i
\(83\) −738.282 + 444.209i −0.976349 + 0.587450i −0.911874 0.410470i \(-0.865365\pi\)
−0.0644747 + 0.997919i \(0.520537\pi\)
\(84\) 45.4375 + 163.651i 0.0590195 + 0.212569i
\(85\) 294.104 1059.27i 0.375295 1.35169i
\(86\) −243.922 146.763i −0.305846 0.184021i
\(87\) −312.352 + 460.685i −0.384916 + 0.567709i
\(88\) 187.393 20.3803i 0.227002 0.0246880i
\(89\) −1030.78 + 112.104i −1.22766 + 0.133516i −0.698879 0.715240i \(-0.746317\pi\)
−0.528784 + 0.848756i \(0.677352\pi\)
\(90\) −298.712 + 440.568i −0.349856 + 0.515999i
\(91\) 1931.72 + 1162.28i 2.22527 + 1.33890i
\(92\) −55.6929 + 200.588i −0.0631129 + 0.227312i
\(93\) −243.724 877.815i −0.271753 0.978765i
\(94\) 405.017 243.691i 0.444408 0.267391i
\(95\) −118.729 + 2189.83i −0.128225 + 2.36497i
\(96\) −245.964 + 82.8749i −0.261496 + 0.0881082i
\(97\) 711.167 + 1341.40i 0.744413 + 1.40411i 0.908593 + 0.417682i \(0.137157\pi\)
−0.164180 + 0.986430i \(0.552498\pi\)
\(98\) −1017.01 1197.32i −1.04830 1.23416i
\(99\) 49.9003 + 73.5974i 0.0506582 + 0.0747153i
\(100\) 23.9358 + 441.470i 0.0239358 + 0.441470i
\(101\) −175.427 440.289i −0.172828 0.433766i 0.816891 0.576792i \(-0.195696\pi\)
−0.989719 + 0.143027i \(0.954317\pi\)
\(102\) 503.678 + 233.026i 0.488937 + 0.226206i
\(103\) −1206.33 + 265.534i −1.15401 + 0.254017i −0.750445 0.660932i \(-0.770161\pi\)
−0.403567 + 0.914950i \(0.632230\pi\)
\(104\) −694.746 + 1310.43i −0.655052 + 1.23556i
\(105\) 263.866 1609.51i 0.245245 1.49593i
\(106\) −465.766 + 354.066i −0.426784 + 0.324433i
\(107\) 847.437 392.066i 0.765653 0.354229i 0.00212008 0.999998i \(-0.499325\pi\)
0.763533 + 0.645769i \(0.223463\pi\)
\(108\) −38.2676 36.2490i −0.0340954 0.0322968i
\(109\) 152.630 + 931.002i 0.134122 + 0.818108i 0.965115 + 0.261826i \(0.0843245\pi\)
−0.830993 + 0.556283i \(0.812227\pi\)
\(110\) 553.739 + 186.576i 0.479972 + 0.161721i
\(111\) 239.369 600.771i 0.204684 0.513718i
\(112\) 1595.99 1511.81i 1.34649 1.27547i
\(113\) 257.795 + 195.971i 0.214613 + 0.163145i 0.706958 0.707256i \(-0.250067\pi\)
−0.492345 + 0.870400i \(0.663860\pi\)
\(114\) −1081.22 237.994i −0.888292 0.195528i
\(115\) 1294.20 1523.65i 1.04943 1.23549i
\(116\) −360.077 39.1608i −0.288210 0.0313447i
\(117\) −699.663 −0.552853
\(118\) 457.614 1354.46i 0.357006 1.05668i
\(119\) −1700.51 −1.30996
\(120\) 1066.76 + 116.017i 0.811509 + 0.0882569i
\(121\) −798.478 + 940.041i −0.599908 + 0.706267i
\(122\) −956.299 210.497i −0.709666 0.156209i
\(123\) 87.5218 + 66.5324i 0.0641592 + 0.0487725i
\(124\) 430.402 407.699i 0.311704 0.295262i
\(125\) 704.096 1767.15i 0.503810 1.26447i
\(126\) 780.265 + 262.902i 0.551679 + 0.185882i
\(127\) −397.454 2424.36i −0.277704 1.69392i −0.645298 0.763931i \(-0.723267\pi\)
0.367594 0.929986i \(-0.380182\pi\)
\(128\) 1266.34 + 1199.55i 0.874454 + 0.828327i
\(129\) −245.689 + 113.668i −0.167688 + 0.0775805i
\(130\) −3660.27 + 2782.46i −2.46944 + 1.87722i
\(131\) 90.3670 551.214i 0.0602702 0.367632i −0.939421 0.342767i \(-0.888636\pi\)
0.999691 0.0248654i \(-0.00791572\pi\)
\(132\) −27.1039 + 51.1234i −0.0178719 + 0.0337100i
\(133\) 3313.00 729.246i 2.15995 0.475441i
\(134\) 836.778 + 387.135i 0.539452 + 0.249577i
\(135\) 187.357 + 470.231i 0.119445 + 0.299785i
\(136\) −60.5693 1117.14i −0.0381895 0.704365i
\(137\) −586.607 865.181i −0.365819 0.539543i 0.599582 0.800314i \(-0.295334\pi\)
−0.965401 + 0.260771i \(0.916023\pi\)
\(138\) 653.344 + 769.175i 0.403017 + 0.474468i
\(139\) −677.914 1278.68i −0.413668 0.780261i 0.585877 0.810400i \(-0.300750\pi\)
−0.999546 + 0.0301384i \(0.990405\pi\)
\(140\) 1005.81 338.896i 0.607187 0.204585i
\(141\) 24.3352 448.837i 0.0145347 0.268077i
\(142\) −559.128 + 336.416i −0.330429 + 0.198813i
\(143\) 205.480 + 740.071i 0.120161 + 0.432782i
\(144\) −182.524 + 657.392i −0.105627 + 0.380435i
\(145\) 2980.35 + 1793.21i 1.70693 + 1.02702i
\(146\) 831.127 1225.82i 0.471127 0.694861i
\(147\) −1485.15 + 161.519i −0.833285 + 0.0906252i
\(148\) 418.372 45.5007i 0.232365 0.0252712i
\(149\) −931.040 + 1373.18i −0.511904 + 0.755002i −0.992540 0.121918i \(-0.961096\pi\)
0.480636 + 0.876920i \(0.340406\pi\)
\(150\) 1836.52 + 1105.00i 0.999674 + 0.601484i
\(151\) −561.381 + 2021.91i −0.302547 + 1.08967i 0.643447 + 0.765490i \(0.277503\pi\)
−0.945994 + 0.324184i \(0.894910\pi\)
\(152\) 597.077 + 2150.48i 0.318614 + 1.14754i
\(153\) 452.209 272.085i 0.238947 0.143770i
\(154\) 48.9342 902.538i 0.0256054 0.472264i
\(155\) −5395.10 + 1817.82i −2.79577 + 0.942005i
\(156\) −213.268 402.266i −0.109456 0.206455i
\(157\) −401.081 472.189i −0.203884 0.240030i 0.650712 0.759325i \(-0.274471\pi\)
−0.854595 + 0.519294i \(0.826195\pi\)
\(158\) −1819.96 2684.25i −0.916383 1.35156i
\(159\) 30.1213 + 555.555i 0.0150237 + 0.277097i
\(160\) 600.354 + 1506.77i 0.296638 + 0.744506i
\(161\) −2806.52 1298.44i −1.37382 0.635597i
\(162\) −249.558 + 54.9318i −0.121032 + 0.0266411i
\(163\) 1101.09 2076.87i 0.529103 0.997993i −0.464555 0.885544i \(-0.653786\pi\)
0.993657 0.112449i \(-0.0358695\pi\)
\(164\) −11.5743 + 70.6001i −0.00551098 + 0.0336155i
\(165\) 442.364 336.277i 0.208715 0.158661i
\(166\) −2466.93 + 1141.32i −1.15344 + 0.533638i
\(167\) −350.292 331.815i −0.162314 0.153752i 0.602232 0.798321i \(-0.294278\pi\)
−0.764546 + 0.644569i \(0.777037\pi\)
\(168\) −268.532 1637.97i −0.123320 0.752216i
\(169\) −3645.20 1228.21i −1.65917 0.559040i
\(170\) 1283.68 3221.78i 0.579138 1.45353i
\(171\) −764.332 + 724.014i −0.341812 + 0.323782i
\(172\) −140.242 106.609i −0.0621707 0.0472610i
\(173\) 1673.66 + 368.400i 0.735525 + 0.161901i 0.566909 0.823780i \(-0.308139\pi\)
0.168616 + 0.985682i \(0.446070\pi\)
\(174\) −1136.74 + 1338.27i −0.495265 + 0.583070i
\(175\) −6528.92 710.063i −2.82023 0.306718i
\(176\) 748.963 0.320768
\(177\) −821.881 1083.02i −0.349019 0.459912i
\(178\) −3270.98 −1.37736
\(179\) 1498.78 + 163.003i 0.625834 + 0.0680636i 0.415541 0.909575i \(-0.363592\pi\)
0.210294 + 0.977638i \(0.432558\pi\)
\(180\) −213.246 + 251.053i −0.0883025 + 0.103958i
\(181\) −2518.70 554.408i −1.03433 0.227673i −0.334809 0.942286i \(-0.608672\pi\)
−0.699520 + 0.714613i \(0.746603\pi\)
\(182\) 5661.87 + 4304.05i 2.30597 + 1.75295i
\(183\) −676.025 + 640.365i −0.273077 + 0.258673i
\(184\) 753.035 1889.98i 0.301709 0.757233i
\(185\) −3829.79 1290.41i −1.52201 0.512824i
\(186\) −464.964 2836.15i −0.183295 1.11805i
\(187\) −420.606 398.419i −0.164480 0.155804i
\(188\) 265.473 122.821i 0.102987 0.0476470i
\(189\) 623.329 473.842i 0.239897 0.182365i
\(190\) −1119.28 + 6827.30i −0.427374 + 2.60687i
\(191\) 1478.22 2788.22i 0.560002 1.05628i −0.428281 0.903646i \(-0.640881\pi\)
0.988283 0.152631i \(-0.0487745\pi\)
\(192\) 977.159 215.089i 0.367294 0.0808475i
\(193\) 1660.80 + 768.369i 0.619416 + 0.286572i 0.704392 0.709811i \(-0.251220\pi\)
−0.0849767 + 0.996383i \(0.527082\pi\)
\(194\) 1772.85 + 4449.51i 0.656098 + 1.64668i
\(195\) 236.711 + 4365.89i 0.0869296 + 1.60332i
\(196\) −545.560 804.641i −0.198819 0.293236i
\(197\) −2225.26 2619.78i −0.804790 0.947472i 0.194652 0.980872i \(-0.437642\pi\)
−0.999442 + 0.0334007i \(0.989366\pi\)
\(198\) 131.395 + 247.838i 0.0471610 + 0.0889550i
\(199\) 1483.48 499.842i 0.528447 0.178055i −0.0424155 0.999100i \(-0.513505\pi\)
0.570863 + 0.821045i \(0.306609\pi\)
\(200\) 233.921 4314.42i 0.0827036 1.52538i
\(201\) 751.271 452.025i 0.263635 0.158624i
\(202\) −400.003 1440.68i −0.139327 0.501811i
\(203\) 1439.38 5184.18i 0.497658 1.79240i
\(204\) 294.274 + 177.059i 0.100996 + 0.0607676i
\(205\) 385.551 568.645i 0.131356 0.193736i
\(206\) −3873.89 + 421.311i −1.31023 + 0.142496i
\(207\) 954.082 103.763i 0.320354 0.0348406i
\(208\) −3307.21 + 4877.77i −1.10247 + 1.62602i
\(209\) 990.300 + 595.844i 0.327753 + 0.197203i
\(210\) 1376.52 4957.79i 0.452329 1.62914i
\(211\) 203.787 + 733.974i 0.0664894 + 0.239473i 0.989326 0.145718i \(-0.0465493\pi\)
−0.922837 + 0.385191i \(0.874135\pi\)
\(212\) −310.231 + 186.660i −0.100503 + 0.0604709i
\(213\) −33.5949 + 619.621i −0.0108070 + 0.199323i
\(214\) 2791.48 940.560i 0.891690 0.300445i
\(215\) 792.407 + 1494.64i 0.251357 + 0.474109i
\(216\) 333.490 + 392.614i 0.105051 + 0.123676i
\(217\) 4942.02 + 7288.94i 1.54602 + 2.28021i
\(218\) 161.131 + 2971.89i 0.0500605 + 0.923311i
\(219\) −521.296 1308.35i −0.160849 0.403700i
\(220\) 328.179 + 151.832i 0.100572 + 0.0465296i
\(221\) 4452.06 979.972i 1.35510 0.298281i
\(222\) 955.629 1802.51i 0.288908 0.544939i
\(223\) 89.1231 543.627i 0.0267629 0.163246i −0.970064 0.242851i \(-0.921917\pi\)
0.996827 + 0.0796044i \(0.0253657\pi\)
\(224\) 1997.35 1518.35i 0.595775 0.452897i
\(225\) 1849.82 855.820i 0.548096 0.253576i
\(226\) 741.660 + 702.537i 0.218294 + 0.206779i
\(227\) 549.279 + 3350.46i 0.160603 + 0.979637i 0.936984 + 0.349372i \(0.113605\pi\)
−0.776381 + 0.630264i \(0.782947\pi\)
\(228\) −649.246 218.757i −0.188585 0.0635417i
\(229\) 2361.28 5926.38i 0.681389 1.71016i −0.0224004 0.999749i \(-0.507131\pi\)
0.703789 0.710409i \(-0.251490\pi\)
\(230\) 4578.60 4337.08i 1.31263 1.24339i
\(231\) −684.270 520.169i −0.194899 0.148158i
\(232\) 3456.98 + 760.939i 0.978283 + 0.215336i
\(233\) −2744.37 + 3230.92i −0.771630 + 0.908433i −0.997843 0.0656448i \(-0.979090\pi\)
0.226213 + 0.974078i \(0.427365\pi\)
\(234\) −2194.30 238.644i −0.613016 0.0666695i
\(235\) −2808.97 −0.779732
\(236\) 372.150 802.654i 0.102648 0.221391i
\(237\) −3084.01 −0.845266
\(238\) −5333.17 580.017i −1.45251 0.157970i
\(239\) 4506.55 5305.52i 1.21968 1.43592i 0.354063 0.935222i \(-0.384800\pi\)
0.865620 0.500701i \(-0.166924\pi\)
\(240\) 4163.87 + 916.537i 1.11990 + 0.246509i
\(241\) 3982.65 + 3027.53i 1.06450 + 0.809213i 0.982283 0.187402i \(-0.0600066\pi\)
0.0822178 + 0.996614i \(0.473800\pi\)
\(242\) −2824.84 + 2675.83i −0.750362 + 0.710781i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) −574.236 193.483i −0.150663 0.0507641i
\(245\) 1510.34 + 9212.65i 0.393845 + 2.40235i
\(246\) 251.795 + 238.513i 0.0652596 + 0.0618172i
\(247\) −8253.43 + 3818.44i −2.12613 + 0.983651i
\(248\) −4612.39 + 3506.25i −1.18100 + 0.897770i
\(249\) −418.182 + 2550.80i −0.106431 + 0.649197i
\(250\) 2810.95 5302.01i 0.711120 1.34131i
\(251\) 1649.16 363.008i 0.414718 0.0912864i −0.00270992 0.999996i \(-0.500863\pi\)
0.417428 + 0.908710i \(0.362932\pi\)
\(252\) 462.432 + 213.944i 0.115597 + 0.0534810i
\(253\) −389.954 978.710i −0.0969019 0.243205i
\(254\) −419.592 7738.91i −0.103652 1.91174i
\(255\) −1850.80 2729.73i −0.454516 0.670361i
\(256\) 1835.08 + 2160.42i 0.448017 + 0.527447i
\(257\) 2845.32 + 5366.84i 0.690607 + 1.30262i 0.942285 + 0.334812i \(0.108673\pi\)
−0.251678 + 0.967811i \(0.580982\pi\)
\(258\) −809.305 + 272.687i −0.195291 + 0.0658013i
\(259\) −338.440 + 6242.17i −0.0811956 + 1.49756i
\(260\) −2437.98 + 1466.88i −0.581528 + 0.349894i
\(261\) 446.713 + 1608.91i 0.105942 + 0.381568i
\(262\) 471.422 1697.91i 0.111162 0.400371i
\(263\) 312.094 + 187.781i 0.0731731 + 0.0440268i 0.551670 0.834062i \(-0.313991\pi\)
−0.478497 + 0.878089i \(0.658818\pi\)
\(264\) 317.349 468.054i 0.0739828 0.109116i
\(265\) 3456.46 375.913i 0.801241 0.0871402i
\(266\) 10639.0 1157.07i 2.45234 0.266708i
\(267\) −1745.61 + 2574.58i −0.400110 + 0.590118i
\(268\) 488.888 + 294.154i 0.111431 + 0.0670459i
\(269\) 601.191 2165.30i 0.136265 0.490782i −0.863646 0.504098i \(-0.831825\pi\)
0.999911 + 0.0133161i \(0.00423877\pi\)
\(270\) 427.205 + 1538.65i 0.0962921 + 0.346813i
\(271\) 6223.36 3744.47i 1.39499 0.839337i 0.398038 0.917369i \(-0.369691\pi\)
0.996951 + 0.0780319i \(0.0248636\pi\)
\(272\) 240.661 4438.73i 0.0536478 0.989476i
\(273\) 6409.24 2159.53i 1.42090 0.478756i
\(274\) −1544.63 2913.48i −0.340564 0.642372i
\(275\) −1448.51 1705.32i −0.317631 0.373944i
\(276\) 350.476 + 516.914i 0.0764355 + 0.112734i
\(277\) −164.839 3040.28i −0.0357553 0.659468i −0.960398 0.278632i \(-0.910119\pi\)
0.924643 0.380836i \(-0.124364\pi\)
\(278\) −1689.95 4241.46i −0.364592 0.915056i
\(279\) −2480.46 1147.58i −0.532263 0.246251i
\(280\) −10130.1 + 2229.80i −2.16210 + 0.475914i
\(281\) 1724.43 3252.62i 0.366088 0.690516i −0.630215 0.776421i \(-0.717033\pi\)
0.996303 + 0.0859049i \(0.0273781\pi\)
\(282\) 229.412 1399.35i 0.0484443 0.295497i
\(283\) 5430.86 4128.43i 1.14075 0.867173i 0.148190 0.988959i \(-0.452655\pi\)
0.992556 + 0.121786i \(0.0388622\pi\)
\(284\) −366.487 + 169.555i −0.0765739 + 0.0354269i
\(285\) 4776.43 + 4524.47i 0.992741 + 0.940374i
\(286\) 392.003 + 2391.11i 0.0810477 + 0.494369i
\(287\) −1007.10 339.330i −0.207132 0.0697910i
\(288\) −288.209 + 723.349i −0.0589683 + 0.147999i
\(289\) 1070.43 1013.97i 0.217878 0.206385i
\(290\) 8735.39 + 6640.47i 1.76883 + 1.34463i
\(291\) 4448.30 + 979.145i 0.896096 + 0.197246i
\(292\) 593.330 698.522i 0.118911 0.139993i
\(293\) 5068.39 + 551.221i 1.01057 + 0.109907i 0.598400 0.801198i \(-0.295804\pi\)
0.412175 + 0.911105i \(0.364769\pi\)
\(294\) −4712.85 −0.934894
\(295\) −6479.94 + 5494.94i −1.27890 + 1.08450i
\(296\) −4112.80 −0.807607
\(297\) 265.194 + 28.8415i 0.0518118 + 0.00563487i
\(298\) −3388.32 + 3989.04i −0.658658 + 0.775432i
\(299\) 8095.96 + 1782.06i 1.56589 + 0.344679i
\(300\) 1055.90 + 802.676i 0.203208 + 0.154475i
\(301\) 1899.79 1799.57i 0.363794 0.344604i
\(302\) −2450.26 + 6149.69i −0.466876 + 1.17177i
\(303\) −1347.42 453.999i −0.255470 0.0860778i
\(304\) 1434.64 + 8750.92i 0.270665 + 1.65099i
\(305\) 4224.58 + 4001.74i 0.793111 + 0.751275i
\(306\) 1511.03 699.079i 0.282288 0.130600i
\(307\) −4124.84 + 3135.62i −0.766831 + 0.582930i −0.913778 0.406215i \(-0.866849\pi\)
0.146947 + 0.989144i \(0.453055\pi\)
\(308\) 90.4911 551.971i 0.0167409 0.102115i
\(309\) −1735.75 + 3273.97i −0.319557 + 0.602749i
\(310\) −17540.3 + 3860.90i −3.21361 + 0.707370i
\(311\) −7299.15 3376.95i −1.33086 0.615721i −0.379896 0.925029i \(-0.624040\pi\)
−0.950962 + 0.309308i \(0.899902\pi\)
\(312\) 1646.97 + 4133.59i 0.298851 + 0.750059i
\(313\) 198.830 + 3667.21i 0.0359059 + 0.662246i 0.959986 + 0.280047i \(0.0903502\pi\)
−0.924080 + 0.382198i \(0.875167\pi\)
\(314\) −1096.82 1617.69i −0.197125 0.290738i
\(315\) −3167.66 3729.25i −0.566594 0.667047i
\(316\) −940.054 1773.13i −0.167349 0.315653i
\(317\) −1724.00 + 580.883i −0.305456 + 0.102920i −0.467855 0.883805i \(-0.654973\pi\)
0.162400 + 0.986725i \(0.448077\pi\)
\(318\) −95.0242 + 1752.62i −0.0167569 + 0.309063i
\(319\) 1570.64 945.024i 0.275671 0.165866i
\(320\) −1672.75 6024.69i −0.292217 1.05247i
\(321\) 749.404 2699.11i 0.130304 0.469313i
\(322\) −8359.01 5029.45i −1.44668 0.870436i
\(323\) 3849.48 5677.55i 0.663129 0.978042i
\(324\) −157.205 + 17.0970i −0.0269555 + 0.00293159i
\(325\) 17502.4 1903.50i 2.98726 0.324884i
\(326\) 4161.64 6137.96i 0.707031 1.04279i
\(327\) 2425.15 + 1459.17i 0.410126 + 0.246765i
\(328\) 187.049 673.691i 0.0314880 0.113410i
\(329\) 1162.42 + 4186.67i 0.194792 + 0.701576i
\(330\) 1502.05 903.755i 0.250561 0.150758i
\(331\) 82.0208 1512.78i 0.0136202 0.251209i −0.983792 0.179313i \(-0.942612\pi\)
0.997412 0.0718956i \(-0.0229048\pi\)
\(332\) −1594.03 + 537.091i −0.263505 + 0.0887853i
\(333\) −908.762 1714.11i −0.149549 0.282080i
\(334\) −985.419 1160.12i −0.161436 0.190057i
\(335\) −3074.80 4534.99i −0.501476 0.739621i
\(336\) −357.049 6585.38i −0.0579721 1.06923i
\(337\) −1576.25 3956.09i −0.254789 0.639471i 0.744825 0.667260i \(-0.232533\pi\)
−0.999614 + 0.0277885i \(0.991154\pi\)
\(338\) −11013.2 5095.27i −1.77231 0.819959i
\(339\) 948.762 208.838i 0.152005 0.0334588i
\(340\) 1005.28 1896.17i 0.160351 0.302453i
\(341\) −485.389 + 2960.74i −0.0770830 + 0.470186i
\(342\) −2644.07 + 2009.97i −0.418055 + 0.317797i
\(343\) 4078.63 1886.98i 0.642057 0.297047i
\(344\) 1249.89 + 1183.95i 0.195899 + 0.185566i
\(345\) −970.265 5918.35i −0.151412 0.923575i
\(346\) 5123.31 + 1726.24i 0.796043 + 0.268218i
\(347\) −813.656 + 2042.12i −0.125877 + 0.315927i −0.978387 0.206784i \(-0.933700\pi\)
0.852510 + 0.522712i \(0.175080\pi\)
\(348\) −788.868 + 747.256i −0.121517 + 0.115107i
\(349\) −6343.94 4822.54i −0.973018 0.739669i −0.00749075 0.999972i \(-0.502384\pi\)
−0.965527 + 0.260303i \(0.916178\pi\)
\(350\) −20234.0 4453.83i −3.09015 0.680193i
\(351\) −1358.86 + 1599.77i −0.206639 + 0.243275i
\(352\) 849.768 + 92.4178i 0.128673 + 0.0139940i
\(353\) −237.331 −0.0357842 −0.0178921 0.999840i \(-0.505696\pi\)
−0.0178921 + 0.999840i \(0.505696\pi\)
\(354\) −2208.20 3676.91i −0.331539 0.552050i
\(355\) 3877.79 0.579752
\(356\) −2012.32 218.853i −0.299587 0.0325820i
\(357\) −3302.65 + 3888.18i −0.489622 + 0.576427i
\(358\) 4644.92 + 1022.43i 0.685731 + 0.150941i
\(359\) −5652.80 4297.15i −0.831040 0.631740i 0.100680 0.994919i \(-0.467898\pi\)
−0.931719 + 0.363179i \(0.881691\pi\)
\(360\) 2337.08 2213.80i 0.342153 0.324104i
\(361\) −2526.17 + 6340.21i −0.368300 + 0.924363i
\(362\) −7710.11 2597.84i −1.11943 0.377181i
\(363\) 598.620 + 3651.42i 0.0865548 + 0.527961i
\(364\) 3195.24 + 3026.69i 0.460099 + 0.435829i
\(365\) −7987.75 + 3695.53i −1.14547 + 0.529953i
\(366\) −2338.58 + 1777.75i −0.333988 + 0.253891i
\(367\) 355.673 2169.51i 0.0505886 0.308577i −0.949396 0.314081i \(-0.898304\pi\)
0.999985 + 0.00550413i \(0.00175203\pi\)
\(368\) 3786.42 7141.94i 0.536361 1.01168i
\(369\) 322.107 70.9010i 0.0454423 0.0100026i
\(370\) −11570.9 5353.28i −1.62580 0.752173i
\(371\) −1990.66 4996.18i −0.278571 0.699160i
\(372\) −96.2878 1775.92i −0.0134201 0.247520i
\(373\) −1628.97 2402.55i −0.226126 0.333511i 0.697654 0.716435i \(-0.254227\pi\)
−0.923780 + 0.382924i \(0.874917\pi\)
\(374\) −1183.22 1392.99i −0.163590 0.192593i
\(375\) −2673.09 5041.98i −0.368101 0.694312i
\(376\) −2709.00 + 912.769i −0.371559 + 0.125193i
\(377\) −780.857 + 14402.1i −0.106674 + 1.96749i
\(378\) 2116.52 1273.47i 0.287995 0.173281i
\(379\) 3715.07 + 13380.5i 0.503510 + 1.81348i 0.577719 + 0.816236i \(0.303943\pi\)
−0.0742093 + 0.997243i \(0.523643\pi\)
\(380\) −1145.38 + 4125.30i −0.154624 + 0.556904i
\(381\) −6315.19 3799.73i −0.849179 0.510934i
\(382\) 5587.06 8240.30i 0.748321 1.10369i
\(383\) −9107.09 + 990.456i −1.21501 + 0.132141i −0.693090 0.720851i \(-0.743751\pi\)
−0.521925 + 0.852992i \(0.674786\pi\)
\(384\) 5202.19 565.772i 0.691336 0.0751873i
\(385\) −3014.34 + 4445.82i −0.399026 + 0.588520i
\(386\) 4946.57 + 2976.25i 0.652264 + 0.392454i
\(387\) −217.267 + 782.525i −0.0285382 + 0.102785i
\(388\) 792.958 + 2855.98i 0.103753 + 0.373686i
\(389\) −3167.48 + 1905.81i −0.412848 + 0.248402i −0.706794 0.707420i \(-0.749859\pi\)
0.293946 + 0.955822i \(0.405031\pi\)
\(390\) −746.758 + 13773.1i −0.0969578 + 1.78828i
\(391\) −5925.63 + 1996.58i −0.766424 + 0.258238i
\(392\) 4450.22 + 8394.00i 0.573393 + 1.08153i
\(393\) −1084.84 1277.17i −0.139244 0.163930i
\(394\) −6085.36 8975.23i −0.778112 1.14763i
\(395\) 1043.39 + 19244.2i 0.132908 + 2.45134i
\(396\) 64.2529 + 161.263i 0.00815360 + 0.0204640i
\(397\) 10025.1 + 4638.10i 1.26737 + 0.586346i 0.934277 0.356549i \(-0.116047\pi\)
0.333090 + 0.942895i \(0.391909\pi\)
\(398\) 4823.01 1061.63i 0.607426 0.133705i
\(399\) 4766.96 8991.43i 0.598111 1.12816i
\(400\) 2777.43 16941.6i 0.347179 2.11770i
\(401\) −10062.3 + 7649.14i −1.25308 + 0.952568i −0.999890 0.0148476i \(-0.995274\pi\)
−0.253192 + 0.967416i \(0.581481\pi\)
\(402\) 2510.33 1161.40i 0.311453 0.144093i
\(403\) −17139.1 16235.0i −2.11851 2.00676i
\(404\) −149.691 913.076i −0.0184342 0.112444i
\(405\) 1439.05 + 484.873i 0.176561 + 0.0594903i
\(406\) 6282.46 15767.8i 0.767964 1.92744i
\(407\) −1546.21 + 1464.65i −0.188312 + 0.178379i
\(408\) −2671.95 2031.16i −0.324219 0.246465i
\(409\) 11619.4 + 2557.63i 1.40475 + 0.309210i 0.851741 0.523962i \(-0.175547\pi\)
0.553013 + 0.833172i \(0.313478\pi\)
\(410\) 1403.13 1651.89i 0.169014 0.198978i
\(411\) −3117.51 339.049i −0.374149 0.0406912i
\(412\) −2411.43 −0.288355
\(413\) 10871.6 + 7384.18i 1.29529 + 0.879786i
\(414\) 3027.61 0.359417
\(415\) 16058.4 + 1746.46i 1.89946 + 0.206579i
\(416\) −4354.22 + 5126.19i −0.513181 + 0.604163i
\(417\) −4240.30 933.361i −0.497958 0.109609i
\(418\) 2902.57 + 2206.48i 0.339639 + 0.258187i
\(419\) 1574.62 1491.56i 0.183593 0.173908i −0.590384 0.807123i \(-0.701024\pi\)
0.773976 + 0.633214i \(0.218265\pi\)
\(420\) 1178.56 2957.95i 0.136923 0.343651i
\(421\) 7473.97 + 2518.27i 0.865223 + 0.291528i 0.716700 0.697381i \(-0.245652\pi\)
0.148523 + 0.988909i \(0.452548\pi\)
\(422\) 388.774 + 2371.41i 0.0448465 + 0.273551i
\(423\) −978.997 927.355i −0.112531 0.106595i
\(424\) 3211.30 1485.71i 0.367817 0.170170i
\(425\) −10572.0 + 8036.63i −1.20663 + 0.917256i
\(426\) −316.705 + 1931.81i −0.0360197 + 0.219710i
\(427\) 4216.21 7952.61i 0.477837 0.901297i
\(428\) 1780.26 391.865i 0.201057 0.0442559i
\(429\) 2091.24 + 967.509i 0.235352 + 0.108885i
\(430\) 1975.37 + 4957.80i 0.221537 + 0.556015i
\(431\) −335.196 6182.33i −0.0374614 0.690934i −0.955599 0.294671i \(-0.904790\pi\)
0.918137 0.396262i \(-0.129693\pi\)
\(432\) 1148.63 + 1694.10i 0.127924 + 0.188674i
\(433\) −3913.54 4607.38i −0.434348 0.511354i 0.500823 0.865550i \(-0.333031\pi\)
−0.935171 + 0.354195i \(0.884755\pi\)
\(434\) 13013.1 + 24545.4i 1.43929 + 2.71478i
\(435\) 9888.47 3331.81i 1.08992 0.367237i
\(436\) −99.7132 + 1839.10i −0.0109527 + 0.202011i
\(437\) 10688.3 6430.96i 1.17001 0.703969i
\(438\) −1188.64 4281.10i −0.129670 0.467029i
\(439\) 1701.32 6127.61i 0.184965 0.666184i −0.811663 0.584127i \(-0.801437\pi\)
0.996628 0.0820574i \(-0.0261491\pi\)
\(440\) −3028.02 1821.90i −0.328080 0.197399i
\(441\) −2515.08 + 3709.46i −0.271577 + 0.400547i
\(442\) 14296.9 1554.88i 1.53854 0.167326i
\(443\) 251.140 27.3131i 0.0269346 0.00292931i −0.0946418 0.995511i \(-0.530171\pi\)
0.121576 + 0.992582i \(0.461205\pi\)
\(444\) 708.509 1044.97i 0.0757305 0.111694i
\(445\) 16655.9 + 10021.5i 1.77430 + 1.06756i
\(446\) 464.933 1674.54i 0.0493615 0.177784i
\(447\) 1331.53 + 4795.74i 0.140893 + 0.507452i
\(448\) −8287.36 + 4986.34i −0.873976 + 0.525854i
\(449\) 207.384 3824.98i 0.0217975 0.402031i −0.967192 0.254046i \(-0.918239\pi\)
0.988990 0.147985i \(-0.0472787\pi\)
\(450\) 6093.37 2053.10i 0.638320 0.215075i
\(451\) −169.593 319.887i −0.0177070 0.0333989i
\(452\) 409.267 + 481.827i 0.0425892 + 0.0501399i
\(453\) 3532.78 + 5210.46i 0.366412 + 0.540417i
\(454\) 579.873 + 10695.1i 0.0599445 + 1.10561i
\(455\) −15643.8 39263.0i −1.61185 4.04544i
\(456\) 6076.65 + 2811.36i 0.624047 + 0.288715i
\(457\) −9688.54 + 2132.61i −0.991708 + 0.218292i −0.681055 0.732232i \(-0.738479\pi\)
−0.310653 + 0.950523i \(0.600548\pi\)
\(458\) 9426.92 17781.1i 0.961771 1.81409i
\(459\) 256.143 1562.40i 0.0260473 0.158882i
\(460\) 3106.96 2361.85i 0.314919 0.239395i
\(461\) −16609.8 + 7684.52i −1.67808 + 0.776364i −0.678974 + 0.734162i \(0.737575\pi\)
−0.999109 + 0.0422022i \(0.986563\pi\)
\(462\) −1968.60 1864.76i −0.198242 0.187785i
\(463\) −388.092 2367.26i −0.0389550 0.237615i 0.960171 0.279413i \(-0.0901398\pi\)
−0.999126 + 0.0417976i \(0.986692\pi\)
\(464\) 13328.2 + 4490.81i 1.33351 + 0.449311i
\(465\) −6321.71 + 15866.3i −0.630457 + 1.58233i
\(466\) −9708.99 + 9196.84i −0.965150 + 0.914239i
\(467\) 14229.0 + 10816.6i 1.40994 + 1.07181i 0.986116 + 0.166060i \(0.0531045\pi\)
0.423821 + 0.905746i \(0.360689\pi\)
\(468\) −1333.98 293.630i −0.131759 0.0290023i
\(469\) −5486.82 + 6459.58i −0.540208 + 0.635982i
\(470\) −8809.56 958.097i −0.864584 0.0940292i
\(471\) −1858.62 −0.181827
\(472\) −4463.76 + 7405.02i −0.435299 + 0.722126i
\(473\) 891.526 0.0866647
\(474\) −9672.15 1051.91i −0.937250 0.101932i
\(475\) 17150.4 20191.0i 1.65666 1.95037i
\(476\) −3242.18 713.658i −0.312196 0.0687195i
\(477\) 1328.77 + 1010.10i 0.127547 + 0.0969591i
\(478\) 15943.2 15102.2i 1.52557 1.44510i
\(479\) −4292.51 + 10773.4i −0.409457 + 1.02766i 0.569208 + 0.822194i \(0.307250\pi\)
−0.978664 + 0.205465i \(0.934129\pi\)
\(480\) 4611.20 + 1553.69i 0.438482 + 0.147742i
\(481\) −2711.19 16537.5i −0.257005 1.56766i
\(482\) 11457.8 + 10853.4i 1.08276 + 1.02564i
\(483\) −8419.57 + 3895.31i −0.793176 + 0.366962i
\(484\) −1916.89 + 1457.18i −0.180023 + 0.136850i
\(485\) 4604.89 28088.6i 0.431129 2.62977i
\(486\) −359.080 + 677.297i −0.0335148 + 0.0632157i
\(487\) −11471.1 + 2524.98i −1.06736 + 0.234944i −0.713715 0.700436i \(-0.752989\pi\)
−0.353645 + 0.935380i \(0.615058\pi\)
\(488\) 5374.59 + 2486.55i 0.498558 + 0.230657i
\(489\) −2610.25 6551.23i −0.241390 0.605842i
\(490\) 1594.46 + 29408.1i 0.147001 + 2.71127i
\(491\) 2579.20 + 3804.04i 0.237062 + 0.349641i 0.927547 0.373706i \(-0.121913\pi\)
−0.690485 + 0.723347i \(0.742603\pi\)
\(492\) 138.947 + 163.581i 0.0127322 + 0.0149894i
\(493\) −5096.00 9612.07i −0.465542 0.878105i
\(494\) −27187.0 + 9160.37i −2.47612 + 0.834301i
\(495\) 90.2500 1664.56i 0.00819482 0.151145i
\(496\) −19725.3 + 11868.3i −1.78567 + 1.07440i
\(497\) −1604.73 5779.72i −0.144833 0.521641i
\(498\) −2181.55 + 7857.23i −0.196300 + 0.707010i
\(499\) −1663.90 1001.13i −0.149271 0.0898133i 0.438959 0.898507i \(-0.355347\pi\)
−0.588230 + 0.808694i \(0.700175\pi\)
\(500\) 2084.05 3073.75i 0.186403 0.274924i
\(501\) −1439.01 + 156.502i −0.128324 + 0.0139561i
\(502\) 5295.96 575.971i 0.470857 0.0512088i
\(503\) 10755.5 15863.2i 0.953407 1.40617i 0.0399658 0.999201i \(-0.487275\pi\)
0.913442 0.406970i \(-0.133415\pi\)
\(504\) −4266.73 2567.21i −0.377094 0.226890i
\(505\) −2377.09 + 8561.49i −0.209463 + 0.754418i
\(506\) −889.159 3202.46i −0.0781184 0.281357i
\(507\) −9887.84 + 5949.32i −0.866143 + 0.521141i
\(508\) 259.657 4789.09i 0.0226780 0.418271i
\(509\) −4530.38 + 1526.46i −0.394510 + 0.132926i −0.509563 0.860433i \(-0.670193\pi\)
0.115053 + 0.993359i \(0.463296\pi\)
\(510\) −4873.46 9192.32i −0.423138 0.798123i
\(511\) 8813.58 + 10376.2i 0.762994 + 0.898266i
\(512\) −2812.64 4148.34i −0.242778 0.358071i
\(513\) 170.993 + 3153.78i 0.0147164 + 0.271429i
\(514\) 7093.00 + 17802.1i 0.608675 + 1.52766i
\(515\) 21016.8 + 9723.39i 1.79827 + 0.831968i
\(516\) −516.133 + 113.610i −0.0440339 + 0.00969260i
\(517\) −693.397 + 1307.89i −0.0589857 + 0.111259i
\(518\) −3190.53 + 19461.4i −0.270625 + 1.65074i
\(519\) 4092.85 3111.31i 0.346158 0.263143i
\(520\) 25236.3 11675.6i 2.12824 0.984630i
\(521\) −10300.3 9756.97i −0.866151 0.820461i 0.118868 0.992910i \(-0.462074\pi\)
−0.985019 + 0.172449i \(0.944832\pi\)
\(522\) 852.215 + 5198.28i 0.0714568 + 0.435867i
\(523\) −7674.08 2585.70i −0.641614 0.216185i −0.0203583 0.999793i \(-0.506481\pi\)
−0.621256 + 0.783608i \(0.713377\pi\)
\(524\) 403.624 1013.02i 0.0336496 0.0844541i
\(525\) −14303.8 + 13549.2i −1.18908 + 1.12636i
\(526\) 914.747 + 695.373i 0.0758268 + 0.0576420i
\(527\) 17390.9 + 3828.02i 1.43749 + 0.316416i
\(528\) 1454.60 1712.49i 0.119893 0.141149i
\(529\) 791.486 + 86.0793i 0.0650519 + 0.00707482i
\(530\) 10968.5 0.898943
\(531\) −4072.52 224.168i −0.332830 0.0183203i
\(532\) 6622.60 0.539711
\(533\) 2832.20 + 308.021i 0.230162 + 0.0250316i
\(534\) −6352.76 + 7479.05i −0.514815 + 0.606087i
\(535\) −17095.9 3763.10i −1.38154 0.304099i
\(536\) −4439.01 3374.45i −0.357716 0.271929i
\(537\) 3283.58 3110.37i 0.263868 0.249949i
\(538\) 2624.02 6585.79i 0.210278 0.527758i
\(539\) 4662.34 + 1570.92i 0.372581 + 0.125537i
\(540\) 159.871 + 975.170i 0.0127403 + 0.0777123i
\(541\) 3578.86 + 3390.08i 0.284413 + 0.269410i 0.816584 0.577227i \(-0.195865\pi\)
−0.532171 + 0.846637i \(0.678624\pi\)
\(542\) 20795.0 9620.80i 1.64801 0.762452i
\(543\) −6159.36 + 4682.23i −0.486784 + 0.370043i
\(544\) 820.766 5006.45i 0.0646876 0.394577i
\(545\) 8284.70 15626.6i 0.651151 1.22820i
\(546\) 20837.4 4586.66i 1.63326 0.359507i
\(547\) −9809.24 4538.24i −0.766751 0.354737i −0.00278722 0.999996i \(-0.500887\pi\)
−0.763964 + 0.645259i \(0.776749\pi\)
\(548\) −755.330 1895.74i −0.0588798 0.147777i
\(549\) 151.237 + 2789.41i 0.0117571 + 0.216847i
\(550\) −3961.19 5842.32i −0.307102 0.452941i
\(551\) 14050.3 + 16541.3i 1.08632 + 1.27891i
\(552\) −2858.89 5392.44i −0.220439 0.415792i
\(553\) 28251.0 9518.87i 2.17243 0.731978i
\(554\) 520.021 9591.22i 0.0398801 0.735545i
\(555\) −10388.6 + 6250.58i −0.794539 + 0.478059i
\(556\) −755.880 2722.43i −0.0576555 0.207656i
\(557\) 3056.04 11006.9i 0.232475 0.837299i −0.751611 0.659606i \(-0.770723\pi\)
0.984086 0.177692i \(-0.0568632\pi\)
\(558\) −7387.86 4445.13i −0.560489 0.337235i
\(559\) −3936.73 + 5806.24i −0.297864 + 0.439316i
\(560\) −40971.9 + 4455.96i −3.09175 + 0.336248i
\(561\) −1727.86 + 187.916i −0.130036 + 0.0141423i
\(562\) 6517.61 9612.76i 0.489197 0.721512i
\(563\) −16520.8 9940.26i −1.23671 0.744106i −0.261465 0.965213i \(-0.584205\pi\)
−0.975250 + 0.221107i \(0.929033\pi\)
\(564\) 234.763 845.539i 0.0175271 0.0631270i
\(565\) −1624.14 5849.61i −0.120934 0.435566i
\(566\) 18440.5 11095.3i 1.36946 0.823976i
\(567\) 127.170 2345.51i 0.00941911 0.173725i
\(568\) 3739.79 1260.08i 0.276264 0.0930842i
\(569\) 8971.23 + 16921.5i 0.660973 + 1.24673i 0.956595 + 0.291422i \(0.0941283\pi\)
−0.295622 + 0.955305i \(0.595527\pi\)
\(570\) 13436.7 + 15818.9i 0.987372 + 1.16242i
\(571\) −10929.1 16119.2i −0.800993 1.18138i −0.980287 0.197580i \(-0.936692\pi\)
0.179294 0.983796i \(-0.442619\pi\)
\(572\) 81.1786 + 1497.25i 0.00593400 + 0.109446i
\(573\) −3504.29 8795.11i −0.255487 0.641223i
\(574\) −3042.74 1407.72i −0.221257 0.102364i
\(575\) −23584.5 + 5191.35i −1.71051 + 0.376512i
\(576\) 1406.00 2652.00i 0.101707 0.191840i
\(577\) −1890.79 + 11533.3i −0.136421 + 0.832129i 0.826618 + 0.562764i \(0.190262\pi\)
−0.963038 + 0.269365i \(0.913186\pi\)
\(578\) 3702.97 2814.93i 0.266476 0.202570i
\(579\) 4982.41 2305.11i 0.357620 0.165453i
\(580\) 4929.76 + 4669.71i 0.352926 + 0.334309i
\(581\) −4042.35 24657.2i −0.288649 1.76068i
\(582\) 13616.9 + 4588.07i 0.969825 + 0.326772i
\(583\) 678.203 1702.16i 0.0481789 0.120920i
\(584\) −6502.62 + 6159.61i −0.460754 + 0.436449i
\(585\) 10442.3 + 7938.01i 0.738008 + 0.561019i
\(586\) 15707.6 + 3457.50i 1.10729 + 0.243734i
\(587\) −879.183 + 1035.05i −0.0618190 + 0.0727790i −0.792202 0.610258i \(-0.791066\pi\)
0.730383 + 0.683037i \(0.239341\pi\)
\(588\) −2899.36 315.325i −0.203347 0.0221153i
\(589\) −35523.3 −2.48508
\(590\) −22196.8 + 15023.1i −1.54886 + 1.04829i
\(591\) −10311.9 −0.717725
\(592\) −16245.6 1766.82i −1.12786 0.122662i
\(593\) −1987.02 + 2339.31i −0.137601 + 0.161996i −0.826646 0.562722i \(-0.809754\pi\)
0.689045 + 0.724718i \(0.258030\pi\)
\(594\) 821.869 + 180.907i 0.0567706 + 0.0124961i
\(595\) 25379.6 + 19293.1i 1.74867 + 1.32931i
\(596\) −2351.41 + 2227.37i −0.161606 + 0.153082i
\(597\) 1738.27 4362.73i 0.119167 0.299086i
\(598\) 24782.9 + 8350.34i 1.69473 + 0.571021i
\(599\) −408.172 2489.74i −0.0278422 0.169830i 0.969245 0.246097i \(-0.0791481\pi\)
−0.997087 + 0.0762671i \(0.975700\pi\)
\(600\) −9410.56 8914.15i −0.640307 0.606531i
\(601\) 447.359 206.970i 0.0303630 0.0140474i −0.404649 0.914472i \(-0.632606\pi\)
0.435012 + 0.900425i \(0.356744\pi\)
\(602\) 6571.97 4995.88i 0.444939 0.338234i
\(603\) 425.539 2595.68i 0.0287385 0.175297i
\(604\) −1918.87 + 3619.38i −0.129268 + 0.243825i
\(605\) 22582.3 4970.74i 1.51752 0.334032i
\(606\) −4070.96 1883.43i −0.272890 0.126253i
\(607\) 7828.59 + 19648.3i 0.523481 + 1.31384i 0.918593 + 0.395205i \(0.129326\pi\)
−0.395112 + 0.918633i \(0.629294\pi\)
\(608\) 547.918 + 10105.8i 0.0365477 + 0.674083i
\(609\) −9058.05 13359.6i −0.602710 0.888931i
\(610\) 11884.3 + 13991.3i 0.788822 + 0.928673i
\(611\) −5456.02 10291.1i −0.361255 0.681399i
\(612\) 976.368 328.977i 0.0644891 0.0217289i
\(613\) 740.456 13656.9i 0.0487875 0.899833i −0.867034 0.498248i \(-0.833977\pi\)
0.915822 0.401584i \(-0.131540\pi\)
\(614\) −14005.9 + 8427.10i −0.920576 + 0.553892i
\(615\) −551.398 1985.95i −0.0361536 0.130214i
\(616\) −1462.40 + 5267.10i −0.0956525 + 0.344509i
\(617\) 19049.5 + 11461.7i 1.24295 + 0.747861i 0.976402 0.215960i \(-0.0692881\pi\)
0.266552 + 0.963821i \(0.414116\pi\)
\(618\) −6560.39 + 9675.86i −0.427019 + 0.629806i
\(619\) −9612.60 + 1045.43i −0.624173 + 0.0678829i −0.414740 0.909940i \(-0.636127\pi\)
−0.209433 + 0.977823i \(0.567162\pi\)
\(620\) −11049.2 + 1201.67i −0.715718 + 0.0778391i
\(621\) 1615.73 2383.02i 0.104407 0.153989i
\(622\) −21739.9 13080.5i −1.40143 0.843215i
\(623\) 8044.09 28972.2i 0.517303 1.86316i
\(624\) 4729.82 + 17035.3i 0.303437 + 1.09288i
\(625\) −6301.30 + 3791.37i −0.403283 + 0.242648i
\(626\) −627.253 + 11569.0i −0.0400481 + 0.738643i
\(627\) 3285.71 1107.08i 0.209280 0.0705146i
\(628\) −566.535 1068.60i −0.0359987 0.0679008i
\(629\) 8183.42 + 9634.27i 0.518751 + 0.610721i
\(630\) −8662.49 12776.2i −0.547812 0.807963i
\(631\) 359.711 + 6634.48i 0.0226939 + 0.418565i 0.987702 + 0.156346i \(0.0499715\pi\)
−0.965008 + 0.262219i \(0.915546\pi\)
\(632\) 7259.61 + 18220.3i 0.456918 + 1.14678i
\(633\) 2074.01 + 959.538i 0.130228 + 0.0602499i
\(634\) −5604.98 + 1233.75i −0.351107 + 0.0772846i
\(635\) −21573.7 + 40692.3i −1.34823 + 2.54303i
\(636\) −175.723 + 1071.86i −0.0109558 + 0.0668271i
\(637\) −30818.5 + 23427.6i −1.91691 + 1.45720i
\(638\) 5248.22 2428.08i 0.325672 0.150672i
\(639\) 1351.51 + 1280.22i 0.0836696 + 0.0792560i
\(640\) −5290.43 32270.2i −0.326754 1.99311i
\(641\) 16540.3 + 5573.06i 1.01919 + 0.343405i 0.778801 0.627271i \(-0.215828\pi\)
0.240390 + 0.970676i \(0.422725\pi\)
\(642\) 3270.92 8209.40i 0.201080 0.504672i
\(643\) −14889.9 + 14104.5i −0.913222 + 0.865049i −0.991263 0.131901i \(-0.957892\pi\)
0.0780414 + 0.996950i \(0.475133\pi\)
\(644\) −4806.00 3653.42i −0.294073 0.223548i
\(645\) 4956.45 + 1091.00i 0.302574 + 0.0666015i
\(646\) 14009.3 16493.1i 0.853236 1.00451i
\(647\) −24133.5 2624.68i −1.46644 0.159485i −0.660207 0.751083i \(-0.729532\pi\)
−0.806233 + 0.591598i \(0.798497\pi\)
\(648\) 1545.40 0.0936866
\(649\) 958.919 + 4373.56i 0.0579983 + 0.264526i
\(650\) 55540.8 3.35152
\(651\) 26264.2 + 2856.41i 1.58122 + 0.171969i
\(652\) 2970.94 3497.66i 0.178452 0.210090i
\(653\) 27641.6 + 6084.38i 1.65651 + 0.364625i 0.942159 0.335166i \(-0.108792\pi\)
0.714348 + 0.699791i \(0.246723\pi\)
\(654\) 7108.13 + 5403.46i 0.425000 + 0.323076i
\(655\) −7602.49 + 7201.46i −0.453517 + 0.429594i
\(656\) 1028.26 2580.74i 0.0611994 0.153599i
\(657\) −4003.97 1349.10i −0.237762 0.0801115i
\(658\) 2217.61 + 13526.8i 0.131385 + 0.801414i
\(659\) −7180.87 6802.08i −0.424472 0.402081i 0.445422 0.895321i \(-0.353054\pi\)
−0.869893 + 0.493240i \(0.835812\pi\)
\(660\) 984.538 455.496i 0.0580653 0.0268639i
\(661\) 2658.86 2021.21i 0.156456 0.118935i −0.524017 0.851708i \(-0.675567\pi\)
0.680474 + 0.732773i \(0.261774\pi\)
\(662\) 773.224 4716.46i 0.0453961 0.276904i
\(663\) 6405.91 12082.8i 0.375241 0.707780i
\(664\) 16054.4 3533.84i 0.938302 0.206536i
\(665\) −57719.2 26703.7i −3.36580 1.55718i
\(666\) −2265.43 5685.79i −0.131807 0.330811i
\(667\) −1071.08 19754.9i −0.0621775 1.14680i
\(668\) −528.613 779.646i −0.0306177 0.0451578i
\(669\) −1069.90 1259.59i −0.0618309 0.0727930i
\(670\) −8096.45 15271.5i −0.466855 0.880583i
\(671\) 2906.09 979.177i 0.167196 0.0563349i
\(672\) 407.494 7515.79i 0.0233920 0.431440i
\(673\) 2890.01 1738.86i 0.165530 0.0995960i −0.430378 0.902649i \(-0.641620\pi\)
0.595908 + 0.803053i \(0.296792\pi\)
\(674\) −3594.11 12944.8i −0.205400 0.739785i
\(675\) 1635.83 5891.74i 0.0932788 0.335960i
\(676\) −6434.48 3871.50i −0.366095 0.220272i
\(677\) 16165.2 23841.9i 0.917696 1.35350i −0.0176792 0.999844i \(-0.505628\pi\)
0.935375 0.353657i \(-0.115062\pi\)
\(678\) 3046.76 331.355i 0.172581 0.0187694i
\(679\) −43770.7 + 4760.35i −2.47388 + 0.269051i
\(680\) −11770.5 + 17360.1i −0.663789 + 0.979016i
\(681\) 8727.56 + 5251.20i 0.491102 + 0.295487i
\(682\) −2532.16 + 9120.00i −0.142172 + 0.512057i
\(683\) −5387.81 19405.1i −0.301843 1.08714i −0.946510 0.322676i \(-0.895418\pi\)
0.644667 0.764464i \(-0.276996\pi\)
\(684\) −1761.12 + 1059.63i −0.0984477 + 0.0592340i
\(685\) −1060.94 + 19567.9i −0.0591774 + 1.09146i
\(686\) 13435.1 4526.82i 0.747749 0.251946i
\(687\) −8964.59 16909.0i −0.497846 0.939038i
\(688\) 4428.46 + 5213.58i 0.245397 + 0.288904i
\(689\) 8090.90 + 11933.2i 0.447371 + 0.659823i
\(690\) −1024.31 18892.2i −0.0565140 1.04234i
\(691\) 4915.28 + 12336.4i 0.270602 + 0.679159i 0.999988 0.00494302i \(-0.00157342\pi\)
−0.729386 + 0.684102i \(0.760194\pi\)
\(692\) 3036.39 + 1404.78i 0.166801 + 0.0771702i
\(693\) −2518.32 + 554.324i −0.138042 + 0.0303853i
\(694\) −3248.34 + 6127.03i −0.177674 + 0.335128i
\(695\) −4389.57 + 26775.2i −0.239577 + 1.46136i
\(696\) 8453.88 6426.47i 0.460407 0.349992i
\(697\) −1950.31 + 902.307i −0.105987 + 0.0490349i
\(698\) −18251.1 17288.4i −0.989706 0.937499i
\(699\) 2057.46 + 12549.9i 0.111331 + 0.679088i
\(700\) −12150.0 4093.83i −0.656040 0.221046i
\(701\) −8230.57 + 20657.2i −0.443458 + 1.11300i 0.522117 + 0.852874i \(0.325142\pi\)
−0.965576 + 0.260123i \(0.916237\pi\)
\(702\) −4807.33 + 4553.75i −0.258463 + 0.244829i
\(703\) −20074.8 15260.5i −1.07701 0.818721i
\(704\) −3218.08 708.353i −0.172281 0.0379220i
\(705\) −5455.47 + 6422.67i −0.291439 + 0.343109i
\(706\) −744.322 80.9499i −0.0396783 0.00431528i
\(707\) 13744.3 0.731128
\(708\) −1112.48 2409.80i −0.0590532 0.127918i
\(709\) 12624.0 0.668692 0.334346 0.942450i \(-0.391485\pi\)
0.334346 + 0.942450i \(0.391485\pi\)
\(710\) 12161.6 + 1322.66i 0.642842 + 0.0699133i
\(711\) −5989.64 + 7051.55i −0.315934 + 0.371946i
\(712\) 19319.6 + 4252.57i 1.01690 + 0.223837i
\(713\) 25779.1 + 19596.8i 1.35405 + 1.02932i
\(714\) −11684.1 + 11067.7i −0.612416 + 0.580111i
\(715\) 5329.73 13376.6i 0.278770 0.699660i
\(716\) 2789.17 + 939.781i 0.145581 + 0.0490520i
\(717\) −3378.56 20608.3i −0.175976 1.07341i
\(718\) −16262.8 15404.9i −0.845293 0.800704i
\(719\) 13017.5 6022.52i 0.675201 0.312381i −0.0521574 0.998639i \(-0.516610\pi\)
0.727359 + 0.686258i \(0.240748\pi\)
\(720\) 10182.5 7740.57i 0.527057 0.400658i
\(721\) 5795.10 35348.5i 0.299335 1.82586i
\(722\) −10085.2 + 19022.7i −0.519850 + 0.980541i
\(723\) 14657.3 3226.32i 0.753959 0.165959i
\(724\) −4569.48 2114.07i −0.234563 0.108520i
\(725\) −15552.0 39032.5i −0.796669 1.99949i
\(726\) 631.962 + 11655.8i 0.0323062 + 0.595853i
\(727\) 5290.15 + 7802.39i 0.269878 + 0.398040i 0.938344 0.345703i \(-0.112359\pi\)
−0.668467 + 0.743742i \(0.733049\pi\)
\(728\) −27845.5 32782.2i −1.41761 1.66894i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −26311.9 + 8865.50i −1.33404 + 0.449489i
\(731\) 286.470 5283.63i 0.0144945 0.267335i
\(732\) −1557.65 + 937.208i −0.0786509 + 0.0473227i
\(733\) −3926.24 14141.0i −0.197843 0.712567i −0.994182 0.107715i \(-0.965646\pi\)
0.796339 0.604851i \(-0.206767\pi\)
\(734\) 1855.46 6682.76i 0.0933055 0.336056i
\(735\) 23997.9 + 14439.1i 1.20432 + 0.724616i
\(736\) 5177.32 7635.97i 0.259291 0.382426i
\(737\) −2870.56 + 312.192i −0.143471 + 0.0156035i
\(738\) 1034.38 112.496i 0.0515937 0.00561115i
\(739\) −5947.91 + 8772.51i −0.296072 + 0.436674i −0.946408 0.322973i \(-0.895318\pi\)
0.650336 + 0.759647i \(0.274628\pi\)
\(740\) −6760.32 4067.55i −0.335830 0.202062i
\(741\) −7298.65 + 26287.4i −0.361839 + 1.30323i
\(742\) −4539.03 16348.1i −0.224573 0.808838i
\(743\) −11842.1 + 7125.16i −0.584717 + 0.351812i −0.776974 0.629532i \(-0.783247\pi\)
0.192258 + 0.981344i \(0.438419\pi\)
\(744\) −941.007 + 17355.9i −0.0463696 + 0.855237i
\(745\) 29474.9 9931.25i 1.44950 0.488393i
\(746\) −4289.35 8090.56i −0.210515 0.397073i
\(747\) 5020.19 + 5910.22i 0.245889 + 0.289483i
\(748\) −634.720 936.142i −0.0310263 0.0457603i
\(749\) 1465.97 + 27038.2i 0.0715157 + 1.31903i
\(750\) −6663.67 16724.5i −0.324430 0.814259i
\(751\) −6879.51 3182.80i −0.334270 0.154650i 0.245573 0.969378i \(-0.421024\pi\)
−0.579843 + 0.814728i \(0.696886\pi\)
\(752\) −11092.7 + 2441.69i −0.537912 + 0.118403i
\(753\) 2372.92 4475.81i 0.114840 0.216610i
\(754\) −7361.27 + 44901.8i −0.355546 + 2.16873i
\(755\) 31318.0 23807.3i 1.50964 1.14760i
\(756\) 1387.30 641.832i 0.0667401 0.0308773i
\(757\) −22835.3 21630.8i −1.09639 1.03855i −0.999062 0.0432996i \(-0.986213\pi\)
−0.0973243 0.995253i \(-0.531028\pi\)
\(758\) 7087.41 + 43231.3i 0.339613 + 2.07155i
\(759\) −2995.16 1009.19i −0.143238 0.0482624i
\(760\) 15487.0 38869.4i 0.739173 1.85519i
\(761\) −5815.06 + 5508.31i −0.276998 + 0.262387i −0.813569 0.581469i \(-0.802478\pi\)
0.536570 + 0.843856i \(0.319720\pi\)
\(762\) −18509.8 14070.8i −0.879974 0.668939i
\(763\) −26719.3 5881.37i −1.26776 0.279056i
\(764\) 3988.52 4695.65i 0.188874 0.222360i
\(765\) −9836.03 1069.73i −0.464866 0.0505572i
\(766\) −28899.7 −1.36317
\(767\) −32718.0 13067.3i −1.54026 0.615165i
\(768\) 8503.79 0.399550
\(769\) 17689.7 + 1923.87i 0.829529 + 0.0902167i 0.513024 0.858374i \(-0.328525\pi\)
0.316505 + 0.948591i \(0.397491\pi\)
\(770\) −10970.1 + 12914.9i −0.513420 + 0.604445i
\(771\) 17797.3 +