Properties

Label 177.4.f.a.2.5
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.5
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.273845 + 5.05077i) q^{2} +(-1.98491 - 4.80210i) q^{3} +(-17.4822 - 1.90130i) q^{4} +(-0.350795 + 1.04112i) q^{5} +(24.7978 - 8.71029i) q^{6} +(-5.00566 - 7.38279i) q^{7} +(7.84382 - 47.8452i) q^{8} +(-19.1203 + 19.0635i) q^{9} +O(q^{10})\) \(q+(-0.273845 + 5.05077i) q^{2} +(-1.98491 - 4.80210i) q^{3} +(-17.4822 - 1.90130i) q^{4} +(-0.350795 + 1.04112i) q^{5} +(24.7978 - 8.71029i) q^{6} +(-5.00566 - 7.38279i) q^{7} +(7.84382 - 47.8452i) q^{8} +(-19.1203 + 19.0635i) q^{9} +(-5.16240 - 2.05689i) q^{10} +(63.7073 - 14.0230i) q^{11} +(25.5703 + 87.7249i) q^{12} +(8.42784 - 7.15867i) q^{13} +(38.6595 - 23.2607i) q^{14} +(5.69587 - 0.381983i) q^{15} +(102.114 + 22.4770i) q^{16} +(43.1724 + 29.2716i) q^{17} +(-91.0491 - 101.792i) q^{18} +(-43.8766 + 82.7600i) q^{19} +(8.11214 - 17.5341i) q^{20} +(-25.5171 + 38.6918i) q^{21} +(53.3812 + 325.611i) q^{22} +(25.4490 - 24.1065i) q^{23} +(-245.327 + 57.3016i) q^{24} +(98.5508 + 74.9163i) q^{25} +(33.8489 + 44.5274i) q^{26} +(129.497 + 53.9781i) q^{27} +(73.4728 + 138.584i) q^{28} +(124.451 - 6.74755i) q^{29} +(0.369527 + 28.8731i) q^{30} +(115.384 - 61.1725i) q^{31} +(-37.7230 + 135.866i) q^{32} +(-193.793 - 278.094i) q^{33} +(-159.667 + 210.038i) q^{34} +(9.44235 - 2.62166i) q^{35} +(370.509 - 296.917i) q^{36} +(-18.5035 + 3.03349i) q^{37} +(-405.986 - 244.274i) q^{38} +(-51.1051 - 26.2620i) q^{39} +(47.0611 + 24.9502i) q^{40} +(-246.894 + 260.642i) q^{41} +(-188.436 - 139.476i) q^{42} +(69.8877 - 317.503i) q^{43} +(-1140.40 + 124.026i) q^{44} +(-13.1401 - 26.5939i) q^{45} +(114.787 + 135.138i) q^{46} +(438.052 - 147.597i) q^{47} +(-94.7506 - 534.977i) q^{48} +(97.5084 - 244.728i) q^{49} +(-405.373 + 477.241i) q^{50} +(54.8718 - 265.420i) q^{51} +(-160.947 + 109.125i) q^{52} +(234.023 - 93.2434i) q^{53} +(-308.093 + 639.275i) q^{54} +(-7.74850 + 71.2463i) q^{55} +(-392.495 + 181.587i) q^{56} +(484.512 + 46.4283i) q^{57} +630.422i q^{58} +(421.080 - 167.543i) q^{59} +(-100.302 - 4.15165i) q^{60} +(-518.189 - 28.0954i) q^{61} +(277.371 + 599.527i) q^{62} +(236.451 + 45.7358i) q^{63} +(116.785 + 39.3494i) q^{64} +(4.49661 + 11.2856i) q^{65} +(1457.66 - 902.649i) q^{66} +(403.567 + 66.1615i) q^{67} +(-699.093 - 593.815i) q^{68} +(-166.276 - 74.3590i) q^{69} +(10.6556 + 48.4090i) q^{70} +(189.999 + 563.896i) q^{71} +(762.119 + 1064.34i) q^{72} +(352.167 + 585.306i) q^{73} +(-10.2544 - 94.2873i) q^{74} +(164.141 - 621.952i) q^{75} +(924.408 - 1363.40i) q^{76} +(-422.426 - 400.143i) q^{77} +(146.638 - 250.928i) q^{78} +(-220.052 - 101.807i) q^{79} +(-59.2224 + 98.4285i) q^{80} +(2.16877 - 728.997i) q^{81} +(-1248.83 - 1318.38i) q^{82} +(-15.4148 - 55.5192i) q^{83} +(519.659 - 627.901i) q^{84} +(-45.6200 + 34.6794i) q^{85} +(1584.49 + 439.933i) q^{86} +(-279.427 - 584.233i) q^{87} +(-171.226 - 3158.08i) q^{88} +(34.4064 + 634.588i) q^{89} +(137.918 - 59.0850i) q^{90} +(-95.0379 - 26.3871i) q^{91} +(-490.736 + 373.048i) q^{92} +(-522.782 - 432.661i) q^{93} +(625.520 + 2252.92i) q^{94} +(-70.7716 - 74.7127i) q^{95} +(727.319 - 88.5324i) q^{96} +(65.2118 - 108.383i) q^{97} +(1209.36 + 559.509i) q^{98} +(-950.772 + 1482.60i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.273845 + 5.05077i −0.0968187 + 1.78572i 0.398663 + 0.917097i \(0.369474\pi\)
−0.495482 + 0.868618i \(0.665008\pi\)
\(3\) −1.98491 4.80210i −0.381996 0.924164i
\(4\) −17.4822 1.90130i −2.18527 0.237662i
\(5\) −0.350795 + 1.04112i −0.0313761 + 0.0931208i −0.962197 0.272355i \(-0.912197\pi\)
0.930821 + 0.365476i \(0.119094\pi\)
\(6\) 24.7978 8.71029i 1.68728 0.592660i
\(7\) −5.00566 7.38279i −0.270280 0.398633i 0.668192 0.743989i \(-0.267069\pi\)
−0.938472 + 0.345356i \(0.887758\pi\)
\(8\) 7.84382 47.8452i 0.346651 2.11448i
\(9\) −19.1203 + 19.0635i −0.708158 + 0.706054i
\(10\) −5.16240 2.05689i −0.163250 0.0650446i
\(11\) 63.7073 14.0230i 1.74622 0.384373i 0.776796 0.629752i \(-0.216843\pi\)
0.969427 + 0.245379i \(0.0789123\pi\)
\(12\) 25.5703 + 87.7249i 0.615125 + 2.11033i
\(13\) 8.42784 7.15867i 0.179805 0.152728i −0.552964 0.833205i \(-0.686503\pi\)
0.732769 + 0.680477i \(0.238228\pi\)
\(14\) 38.6595 23.2607i 0.738014 0.444048i
\(15\) 5.69587 0.381983i 0.0980444 0.00657518i
\(16\) 102.114 + 22.4770i 1.59553 + 0.351203i
\(17\) 43.1724 + 29.2716i 0.615932 + 0.417613i 0.828860 0.559455i \(-0.188990\pi\)
−0.212928 + 0.977068i \(0.568300\pi\)
\(18\) −91.0491 101.792i −1.19225 1.33293i
\(19\) −43.8766 + 82.7600i −0.529788 + 0.999286i 0.463769 + 0.885956i \(0.346497\pi\)
−0.993557 + 0.113330i \(0.963848\pi\)
\(20\) 8.11214 17.5341i 0.0906964 0.196037i
\(21\) −25.5171 + 38.6918i −0.265157 + 0.402060i
\(22\) 53.3812 + 325.611i 0.517314 + 3.15547i
\(23\) 25.4490 24.1065i 0.230716 0.218546i −0.563604 0.826045i \(-0.690586\pi\)
0.794321 + 0.607499i \(0.207827\pi\)
\(24\) −245.327 + 57.3016i −2.08654 + 0.487360i
\(25\) 98.5508 + 74.9163i 0.788406 + 0.599331i
\(26\) 33.8489 + 44.5274i 0.255319 + 0.335867i
\(27\) 129.497 + 53.9781i 0.923023 + 0.384744i
\(28\) 73.4728 + 138.584i 0.495895 + 0.935356i
\(29\) 124.451 6.74755i 0.796897 0.0432065i 0.348806 0.937195i \(-0.386587\pi\)
0.448090 + 0.893988i \(0.352104\pi\)
\(30\) 0.369527 + 28.8731i 0.00224887 + 0.175716i
\(31\) 115.384 61.1725i 0.668500 0.354416i −0.0993442 0.995053i \(-0.531674\pi\)
0.767844 + 0.640637i \(0.221330\pi\)
\(32\) −37.7230 + 135.866i −0.208392 + 0.750561i
\(33\) −193.793 278.094i −1.02227 1.46697i
\(34\) −159.667 + 210.038i −0.805371 + 1.05945i
\(35\) 9.44235 2.62166i 0.0456014 0.0126612i
\(36\) 370.509 296.917i 1.71532 1.37462i
\(37\) −18.5035 + 3.03349i −0.0822149 + 0.0134784i −0.202749 0.979231i \(-0.564988\pi\)
0.120534 + 0.992709i \(0.461539\pi\)
\(38\) −405.986 244.274i −1.73315 1.04280i
\(39\) −51.1051 26.2620i −0.209830 0.107828i
\(40\) 47.0611 + 24.9502i 0.186025 + 0.0986245i
\(41\) −246.894 + 260.642i −0.940446 + 0.992817i −0.999985 0.00540916i \(-0.998278\pi\)
0.0595393 + 0.998226i \(0.481037\pi\)
\(42\) −188.436 139.476i −0.692292 0.512421i
\(43\) 69.8877 317.503i 0.247855 1.12602i −0.674076 0.738662i \(-0.735458\pi\)
0.921931 0.387355i \(-0.126611\pi\)
\(44\) −1140.40 + 124.026i −3.90732 + 0.424947i
\(45\) −13.1401 26.5939i −0.0435291 0.0880974i
\(46\) 114.787 + 135.138i 0.367924 + 0.433153i
\(47\) 438.052 147.597i 1.35950 0.458069i 0.457272 0.889327i \(-0.348827\pi\)
0.902229 + 0.431258i \(0.141930\pi\)
\(48\) −94.7506 534.977i −0.284918 1.60869i
\(49\) 97.5084 244.728i 0.284281 0.713491i
\(50\) −405.373 + 477.241i −1.14657 + 1.34984i
\(51\) 54.8718 265.420i 0.150659 0.728749i
\(52\) −160.947 + 109.125i −0.429219 + 0.291018i
\(53\) 234.023 93.2434i 0.606520 0.241660i −0.0466005 0.998914i \(-0.514839\pi\)
0.653121 + 0.757254i \(0.273459\pi\)
\(54\) −308.093 + 639.275i −0.776409 + 1.61101i
\(55\) −7.74850 + 71.2463i −0.0189965 + 0.174670i
\(56\) −392.495 + 181.587i −0.936595 + 0.433315i
\(57\) 484.512 + 46.4283i 1.12588 + 0.107887i
\(58\) 630.422i 1.42721i
\(59\) 421.080 167.543i 0.929152 0.369698i
\(60\) −100.302 4.15165i −0.215816 0.00893293i
\(61\) −518.189 28.0954i −1.08766 0.0589713i −0.498426 0.866933i \(-0.666088\pi\)
−0.589236 + 0.807961i \(0.700571\pi\)
\(62\) 277.371 + 599.527i 0.568163 + 1.22806i
\(63\) 236.451 + 45.7358i 0.472858 + 0.0914629i
\(64\) 116.785 + 39.3494i 0.228095 + 0.0768543i
\(65\) 4.49661 + 11.2856i 0.00858055 + 0.0215356i
\(66\) 1457.66 902.649i 2.71856 1.68346i
\(67\) 403.567 + 66.1615i 0.735874 + 0.120640i 0.518053 0.855348i \(-0.326657\pi\)
0.217821 + 0.975989i \(0.430105\pi\)
\(68\) −699.093 593.815i −1.24673 1.05898i
\(69\) −166.276 74.3590i −0.290105 0.129736i
\(70\) 10.6556 + 48.4090i 0.0181942 + 0.0826570i
\(71\) 189.999 + 563.896i 0.317587 + 0.942566i 0.980949 + 0.194267i \(0.0622327\pi\)
−0.663361 + 0.748299i \(0.730871\pi\)
\(72\) 762.119 + 1064.34i 1.24745 + 1.74214i
\(73\) 352.167 + 585.306i 0.564631 + 0.938423i 0.999284 + 0.0378258i \(0.0120432\pi\)
−0.434654 + 0.900598i \(0.643129\pi\)
\(74\) −10.2544 94.2873i −0.0161087 0.148117i
\(75\) 164.141 621.952i 0.252712 0.957558i
\(76\) 924.408 1363.40i 1.39522 2.05780i
\(77\) −422.426 400.143i −0.625193 0.592215i
\(78\) 146.638 250.928i 0.212865 0.364257i
\(79\) −220.052 101.807i −0.313390 0.144990i 0.256889 0.966441i \(-0.417303\pi\)
−0.570278 + 0.821451i \(0.693165\pi\)
\(80\) −59.2224 + 98.4285i −0.0827659 + 0.137558i
\(81\) 2.16877 728.997i 0.00297499 0.999996i
\(82\) −1248.83 1318.38i −1.68184 1.77549i
\(83\) −15.4148 55.5192i −0.0203855 0.0734220i 0.952658 0.304045i \(-0.0983374\pi\)
−0.973043 + 0.230623i \(0.925924\pi\)
\(84\) 519.659 627.901i 0.674993 0.815591i
\(85\) −45.6200 + 34.6794i −0.0582140 + 0.0442531i
\(86\) 1584.49 + 439.933i 1.98675 + 0.551618i
\(87\) −279.427 584.233i −0.344341 0.719958i
\(88\) −171.226 3158.08i −0.207418 3.82560i
\(89\) 34.4064 + 634.588i 0.0409783 + 0.755800i 0.944751 + 0.327788i \(0.106303\pi\)
−0.903773 + 0.428012i \(0.859214\pi\)
\(90\) 137.918 59.0850i 0.161531 0.0692012i
\(91\) −95.0379 26.3871i −0.109480 0.0303970i
\(92\) −490.736 + 373.048i −0.556117 + 0.422749i
\(93\) −522.782 432.661i −0.582903 0.482418i
\(94\) 625.520 + 2252.92i 0.686356 + 2.47203i
\(95\) −70.7716 74.7127i −0.0764317 0.0806880i
\(96\) 727.319 88.5324i 0.773247 0.0941229i
\(97\) 65.2118 108.383i 0.0682604 0.113450i −0.820847 0.571148i \(-0.806498\pi\)
0.889108 + 0.457698i \(0.151326\pi\)
\(98\) 1209.36 + 559.509i 1.24657 + 0.576724i
\(99\) −950.772 + 1482.60i −0.965214 + 1.50513i
\(100\) −1580.44 1497.07i −1.58044 1.49707i
\(101\) 791.913 1167.98i 0.780181 1.15068i −0.204933 0.978776i \(-0.565697\pi\)
0.985114 0.171905i \(-0.0549922\pi\)
\(102\) 1325.55 + 349.828i 1.28675 + 0.339590i
\(103\) 50.3212 + 462.696i 0.0481388 + 0.442629i 0.993260 + 0.115909i \(0.0369780\pi\)
−0.945121 + 0.326720i \(0.894057\pi\)
\(104\) −276.402 459.383i −0.260610 0.433137i
\(105\) −31.3317 40.1393i −0.0291206 0.0373066i
\(106\) 406.865 + 1207.53i 0.372813 + 1.10647i
\(107\) 152.213 + 691.509i 0.137523 + 0.624772i 0.994074 + 0.108710i \(0.0346719\pi\)
−0.856551 + 0.516063i \(0.827397\pi\)
\(108\) −2161.25 1189.86i −1.92562 1.06014i
\(109\) −1147.93 975.061i −1.00873 0.856825i −0.0190089 0.999819i \(-0.506051\pi\)
−0.989724 + 0.142994i \(0.954327\pi\)
\(110\) −357.726 58.6463i −0.310072 0.0508337i
\(111\) 51.2948 + 82.8342i 0.0438620 + 0.0708313i
\(112\) −345.205 866.400i −0.291240 0.730956i
\(113\) −1782.66 600.647i −1.48406 0.500037i −0.543422 0.839459i \(-0.682872\pi\)
−0.940634 + 0.339423i \(0.889768\pi\)
\(114\) −367.180 + 2434.45i −0.301663 + 2.00006i
\(115\) 16.1705 + 34.9519i 0.0131122 + 0.0283416i
\(116\) −2188.50 118.657i −1.75170 0.0949745i
\(117\) −24.6734 + 297.539i −0.0194962 + 0.235107i
\(118\) 730.908 + 2172.66i 0.570217 + 1.69499i
\(119\) 465.257i 0.358404i
\(120\) 26.4013 275.516i 0.0200841 0.209592i
\(121\) 2653.99 1227.86i 1.99398 0.922513i
\(122\) 283.807 2609.56i 0.210612 1.93654i
\(123\) 1741.69 + 668.255i 1.27677 + 0.489874i
\(124\) −2133.46 + 850.048i −1.54508 + 0.615617i
\(125\) −226.234 + 153.390i −0.161880 + 0.109757i
\(126\) −295.752 + 1181.73i −0.209108 + 0.835534i
\(127\) −1720.75 + 2025.82i −1.20230 + 1.41546i −0.318285 + 0.947995i \(0.603107\pi\)
−0.884014 + 0.467461i \(0.845169\pi\)
\(128\) −648.258 + 1627.01i −0.447644 + 1.12350i
\(129\) −1663.40 + 294.607i −1.13530 + 0.201076i
\(130\) −58.2325 + 19.6208i −0.0392871 + 0.0132374i
\(131\) 583.068 + 686.440i 0.388877 + 0.457821i 0.921412 0.388587i \(-0.127037\pi\)
−0.532535 + 0.846408i \(0.678761\pi\)
\(132\) 2859.18 + 5230.14i 1.88530 + 3.44868i
\(133\) 830.631 90.3366i 0.541540 0.0588960i
\(134\) −444.681 + 2020.20i −0.286676 + 1.30238i
\(135\) −101.625 + 115.887i −0.0647885 + 0.0738810i
\(136\) 1739.14 1835.99i 1.09655 1.15761i
\(137\) −1338.42 709.587i −0.834666 0.442512i −0.00447426 0.999990i \(-0.501424\pi\)
−0.830192 + 0.557478i \(0.811769\pi\)
\(138\) 421.104 819.457i 0.259759 0.505484i
\(139\) 33.9394 + 20.4207i 0.0207101 + 0.0124609i 0.525871 0.850564i \(-0.323739\pi\)
−0.505161 + 0.863025i \(0.668567\pi\)
\(140\) −170.057 + 27.8795i −0.102660 + 0.0168303i
\(141\) −1578.27 1810.60i −0.942655 1.08142i
\(142\) −2900.14 + 805.219i −1.71390 + 0.475863i
\(143\) 436.528 574.243i 0.255275 0.335808i
\(144\) −2380.94 + 1516.88i −1.37786 + 0.877825i
\(145\) −36.6318 + 131.936i −0.0209800 + 0.0755633i
\(146\) −3052.68 + 1618.43i −1.73042 + 0.917413i
\(147\) −1368.75 + 17.5177i −0.767977 + 0.00982880i
\(148\) 329.248 17.8513i 0.182865 0.00991465i
\(149\) −1303.42 2458.50i −0.716645 1.35173i −0.927354 0.374186i \(-0.877922\pi\)
0.210709 0.977549i \(-0.432423\pi\)
\(150\) 3096.39 + 999.356i 1.68546 + 0.543981i
\(151\) −1686.79 2218.94i −0.909067 1.19586i −0.980124 0.198385i \(-0.936430\pi\)
0.0710575 0.997472i \(-0.477363\pi\)
\(152\) 3615.51 + 2748.44i 1.92932 + 1.46663i
\(153\) −1383.49 + 263.335i −0.731034 + 0.139146i
\(154\) 2136.71 2024.00i 1.11806 1.05908i
\(155\) 23.2121 + 141.587i 0.0120286 + 0.0733714i
\(156\) 843.496 + 556.282i 0.432908 + 0.285501i
\(157\) 680.117 1470.05i 0.345728 0.747278i −0.654232 0.756294i \(-0.727008\pi\)
0.999959 + 0.00901614i \(0.00286997\pi\)
\(158\) 574.463 1083.55i 0.289252 0.545588i
\(159\) −912.279 938.722i −0.455022 0.468211i
\(160\) −128.220 86.9355i −0.0633544 0.0429553i
\(161\) −305.362 67.2153i −0.149478 0.0329025i
\(162\) 3681.40 + 210.586i 1.78542 + 0.102131i
\(163\) −909.366 + 547.147i −0.436976 + 0.262920i −0.717000 0.697073i \(-0.754485\pi\)
0.280024 + 0.959993i \(0.409658\pi\)
\(164\) 4811.79 4087.17i 2.29108 1.94606i
\(165\) 357.512 104.208i 0.168680 0.0491674i
\(166\) 284.636 62.6531i 0.133085 0.0292941i
\(167\) −400.991 159.769i −0.185806 0.0740319i 0.275380 0.961336i \(-0.411196\pi\)
−0.461186 + 0.887304i \(0.652576\pi\)
\(168\) 1651.07 + 1524.36i 0.758230 + 0.700042i
\(169\) −335.653 + 2047.39i −0.152778 + 0.931904i
\(170\) −162.665 239.913i −0.0733873 0.108238i
\(171\) −738.760 2418.83i −0.330377 1.08171i
\(172\) −1825.45 + 5417.76i −0.809242 + 2.40174i
\(173\) 2865.30 + 311.620i 1.25922 + 0.136948i 0.713281 0.700878i \(-0.247208\pi\)
0.545937 + 0.837826i \(0.316174\pi\)
\(174\) 3027.35 1251.33i 1.31898 0.545190i
\(175\) 59.7804 1102.59i 0.0258227 0.476272i
\(176\) 6820.61 2.92115
\(177\) −1640.36 1689.51i −0.696594 0.717465i
\(178\) −3214.58 −1.35361
\(179\) −161.539 + 2979.40i −0.0674523 + 1.24408i 0.747384 + 0.664393i \(0.231310\pi\)
−0.814836 + 0.579692i \(0.803173\pi\)
\(180\) 179.154 + 489.902i 0.0741854 + 0.202862i
\(181\) 4201.54 + 456.945i 1.72540 + 0.187649i 0.916430 0.400196i \(-0.131058\pi\)
0.808974 + 0.587845i \(0.200023\pi\)
\(182\) 159.301 472.788i 0.0648800 0.192557i
\(183\) 893.642 + 2544.16i 0.360983 + 1.02770i
\(184\) −953.765 1406.70i −0.382133 0.563604i
\(185\) 3.33269 20.3285i 0.00132445 0.00807882i
\(186\) 2328.43 2521.97i 0.917897 0.994192i
\(187\) 3160.87 + 1259.41i 1.23607 + 0.492497i
\(188\) −7938.72 + 1747.45i −3.07974 + 0.677902i
\(189\) −249.707 1226.24i −0.0961031 0.471937i
\(190\) 396.737 336.991i 0.151486 0.128673i
\(191\) 28.0859 16.8987i 0.0106399 0.00640182i −0.510224 0.860042i \(-0.670437\pi\)
0.520864 + 0.853640i \(0.325610\pi\)
\(192\) −42.8479 638.917i −0.0161056 0.240156i
\(193\) 1811.01 + 398.633i 0.675437 + 0.148675i 0.539427 0.842033i \(-0.318641\pi\)
0.136010 + 0.990707i \(0.456572\pi\)
\(194\) 529.559 + 359.050i 0.195980 + 0.132878i
\(195\) 45.2694 43.9941i 0.0166246 0.0161563i
\(196\) −2169.96 + 4092.97i −0.790800 + 1.49161i
\(197\) −1377.89 + 2978.27i −0.498329 + 1.07712i 0.481346 + 0.876531i \(0.340148\pi\)
−0.979675 + 0.200590i \(0.935714\pi\)
\(198\) −7227.93 5208.13i −2.59428 1.86932i
\(199\) 197.495 + 1204.66i 0.0703518 + 0.429127i 0.998394 + 0.0566520i \(0.0180426\pi\)
−0.928042 + 0.372475i \(0.878509\pi\)
\(200\) 4357.40 4127.55i 1.54057 1.45931i
\(201\) −483.331 2069.29i −0.169610 0.726152i
\(202\) 5682.35 + 4319.61i 1.97925 + 1.50459i
\(203\) −672.776 885.021i −0.232609 0.305992i
\(204\) −1463.92 + 4535.78i −0.502426 + 1.55671i
\(205\) −184.752 348.478i −0.0629444 0.118726i
\(206\) −2350.75 + 127.454i −0.795070 + 0.0431074i
\(207\) −27.0367 + 946.068i −0.00907817 + 0.317663i
\(208\) 1021.51 541.569i 0.340523 0.180534i
\(209\) −1634.71 + 5887.69i −0.541030 + 1.94861i
\(210\) 211.314 147.257i 0.0694385 0.0483890i
\(211\) −1705.92 + 2244.09i −0.556588 + 0.732179i −0.985219 0.171301i \(-0.945203\pi\)
0.428631 + 0.903480i \(0.358996\pi\)
\(212\) −4268.51 + 1185.15i −1.38284 + 0.383944i
\(213\) 2330.75 2031.68i 0.749768 0.653559i
\(214\) −3534.33 + 579.424i −1.12898 + 0.185087i
\(215\) 306.043 + 184.140i 0.0970789 + 0.0584105i
\(216\) 3598.34 5772.40i 1.13350 1.81834i
\(217\) −1029.19 545.644i −0.321964 0.170695i
\(218\) 5239.16 5530.92i 1.62771 1.71835i
\(219\) 2111.68 2852.92i 0.651570 0.880285i
\(220\) 270.921 1230.81i 0.0830249 0.377186i
\(221\) 573.396 62.3606i 0.174528 0.0189811i
\(222\) −432.423 + 236.394i −0.130731 + 0.0714674i
\(223\) 3400.84 + 4003.78i 1.02124 + 1.20230i 0.979140 + 0.203186i \(0.0651296\pi\)
0.0421020 + 0.999113i \(0.486595\pi\)
\(224\) 1191.90 401.598i 0.355523 0.119790i
\(225\) −3312.48 + 446.299i −0.981476 + 0.132237i
\(226\) 3521.90 8839.31i 1.03661 2.60169i
\(227\) 4108.46 4836.86i 1.20127 1.41424i 0.316260 0.948673i \(-0.397573\pi\)
0.885010 0.465572i \(-0.154151\pi\)
\(228\) −8382.05 1732.87i −2.43471 0.503343i
\(229\) −3486.51 + 2363.92i −1.00609 + 0.682148i −0.948692 0.316203i \(-0.897592\pi\)
−0.0574018 + 0.998351i \(0.518282\pi\)
\(230\) −180.962 + 72.1020i −0.0518796 + 0.0206707i
\(231\) −1083.05 + 2822.78i −0.308482 + 0.804005i
\(232\) 653.335 6007.32i 0.184886 1.70000i
\(233\) 5816.67 2691.08i 1.63546 0.756645i 0.635580 0.772035i \(-0.280761\pi\)
0.999882 + 0.0153896i \(0.00489884\pi\)
\(234\) −1496.05 206.099i −0.417947 0.0575775i
\(235\) 507.843i 0.140970i
\(236\) −7679.93 + 2128.41i −2.11831 + 0.587066i
\(237\) −52.1031 + 1258.79i −0.0142804 + 0.345009i
\(238\) 2349.90 + 127.408i 0.640007 + 0.0347002i
\(239\) −1773.89 3834.19i −0.480097 1.03771i −0.984683 0.174352i \(-0.944217\pi\)
0.504586 0.863361i \(-0.331645\pi\)
\(240\) 590.214 + 89.0202i 0.158742 + 0.0239426i
\(241\) −2108.95 710.588i −0.563691 0.189930i 0.0230073 0.999735i \(-0.492676\pi\)
−0.586698 + 0.809806i \(0.699572\pi\)
\(242\) 5474.88 + 13740.9i 1.45429 + 3.65000i
\(243\) −3505.02 + 1436.58i −0.925296 + 0.379245i
\(244\) 9005.64 + 1476.40i 2.36282 + 0.387364i
\(245\) 220.586 + 187.367i 0.0575213 + 0.0488590i
\(246\) −3852.15 + 8613.88i −0.998391 + 2.23252i
\(247\) 222.667 + 1011.59i 0.0573601 + 0.260590i
\(248\) −2021.76 6000.37i −0.517669 1.53639i
\(249\) −236.012 + 184.224i −0.0600668 + 0.0468865i
\(250\) −712.786 1184.66i −0.180322 0.299698i
\(251\) −539.092 4956.87i −0.135567 1.24651i −0.842290 0.539024i \(-0.818793\pi\)
0.706724 0.707490i \(-0.250172\pi\)
\(252\) −4046.72 1249.12i −1.01158 0.312252i
\(253\) 1283.24 1892.63i 0.318879 0.470311i
\(254\) −9760.75 9245.87i −2.41120 2.28401i
\(255\) 257.086 + 150.236i 0.0631346 + 0.0368947i
\(256\) −7145.34 3305.79i −1.74447 0.807077i
\(257\) −2190.63 + 3640.85i −0.531702 + 0.883696i 0.468298 + 0.883571i \(0.344867\pi\)
−1.00000 0.000125172i \(0.999960\pi\)
\(258\) −1032.48 8482.12i −0.249145 2.04680i
\(259\) 115.018 + 121.423i 0.0275940 + 0.0291306i
\(260\) −57.1530 205.847i −0.0136326 0.0491002i
\(261\) −2250.91 + 2501.48i −0.533822 + 0.593249i
\(262\) −3626.72 + 2756.96i −0.855189 + 0.650098i
\(263\) 175.051 + 48.6026i 0.0410421 + 0.0113953i 0.287989 0.957634i \(-0.407013\pi\)
−0.246947 + 0.969029i \(0.579427\pi\)
\(264\) −14825.5 + 7090.75i −3.45625 + 1.65305i
\(265\) 14.9836 + 276.356i 0.00347334 + 0.0640620i
\(266\) 228.805 + 4220.06i 0.0527404 + 0.972739i
\(267\) 2979.06 1424.82i 0.682829 0.326583i
\(268\) −6929.43 1923.95i −1.57941 0.438521i
\(269\) −1784.17 + 1356.29i −0.404396 + 0.307414i −0.787527 0.616280i \(-0.788639\pi\)
0.383131 + 0.923694i \(0.374846\pi\)
\(270\) −557.487 545.017i −0.125658 0.122847i
\(271\) 1696.27 + 6109.43i 0.380226 + 1.36945i 0.868036 + 0.496501i \(0.165382\pi\)
−0.487810 + 0.872950i \(0.662204\pi\)
\(272\) 3750.57 + 3959.43i 0.836074 + 0.882632i
\(273\) 61.9281 + 508.757i 0.0137292 + 0.112789i
\(274\) 3950.48 6565.75i 0.871012 1.44763i
\(275\) 7328.95 + 3390.73i 1.60710 + 0.743524i
\(276\) 2765.48 + 1616.10i 0.603124 + 0.352455i
\(277\) −1920.96 1819.63i −0.416675 0.394696i 0.450437 0.892808i \(-0.351268\pi\)
−0.867112 + 0.498112i \(0.834027\pi\)
\(278\) −112.434 + 165.828i −0.0242567 + 0.0357759i
\(279\) −1040.00 + 3369.24i −0.223166 + 0.722980i
\(280\) −51.3695 472.335i −0.0109640 0.100812i
\(281\) −3131.61 5204.77i −0.664825 1.10495i −0.987376 0.158396i \(-0.949368\pi\)
0.322550 0.946552i \(-0.395460\pi\)
\(282\) 9577.13 7475.65i 2.02238 1.57861i
\(283\) 69.8592 + 207.335i 0.0146738 + 0.0435504i 0.954740 0.297442i \(-0.0961335\pi\)
−0.940066 + 0.340992i \(0.889237\pi\)
\(284\) −2249.45 10219.4i −0.470001 2.13524i
\(285\) −218.302 + 488.150i −0.0453723 + 0.101458i
\(286\) 2780.83 + 2362.06i 0.574943 + 0.488361i
\(287\) 3160.13 + 518.077i 0.649954 + 0.106555i
\(288\) −1868.80 3316.93i −0.382362 0.678652i
\(289\) −811.459 2036.61i −0.165166 0.414535i
\(290\) −656.346 221.149i −0.132903 0.0447803i
\(291\) −649.905 98.0231i −0.130921 0.0197465i
\(292\) −5043.80 10902.0i −1.01084 2.18490i
\(293\) 8044.05 + 436.136i 1.60389 + 0.0869601i 0.834200 0.551463i \(-0.185930\pi\)
0.769686 + 0.638423i \(0.220413\pi\)
\(294\) 286.347 6918.04i 0.0568031 1.37234i
\(295\) 26.7196 + 497.169i 0.00527348 + 0.0981231i
\(296\) 909.096i 0.178514i
\(297\) 9006.81 + 1622.86i 1.75969 + 0.317064i
\(298\) 12774.3 5910.00i 2.48320 1.14885i
\(299\) 41.9090 385.347i 0.00810588 0.0745323i
\(300\) −4052.06 + 10561.0i −0.779819 + 2.03246i
\(301\) −2693.89 + 1073.34i −0.515858 + 0.205537i
\(302\) 11669.2 7911.94i 2.22348 1.50755i
\(303\) −7180.65 1484.50i −1.36144 0.281459i
\(304\) −6340.61 + 7464.75i −1.19625 + 1.40833i
\(305\) 211.029 529.643i 0.0396180 0.0994336i
\(306\) −951.182 7059.78i −0.177698 1.31889i
\(307\) −2282.02 + 768.901i −0.424240 + 0.142943i −0.523320 0.852136i \(-0.675307\pi\)
0.0990799 + 0.995079i \(0.468410\pi\)
\(308\) 6624.12 + 7798.52i 1.22547 + 1.44273i
\(309\) 2122.03 1160.06i 0.390673 0.213571i
\(310\) −721.481 + 78.4658i −0.132185 + 0.0143760i
\(311\) −423.231 + 1922.76i −0.0771680 + 0.350578i −0.999345 0.0361907i \(-0.988478\pi\)
0.922177 + 0.386768i \(0.126409\pi\)
\(312\) −1657.37 + 2239.14i −0.300737 + 0.406302i
\(313\) −5568.26 + 5878.34i −1.00555 + 1.06154i −0.00744594 + 0.999972i \(0.502370\pi\)
−0.998103 + 0.0615724i \(0.980388\pi\)
\(314\) 7238.63 + 3837.68i 1.30095 + 0.689722i
\(315\) −130.562 + 230.131i −0.0233535 + 0.0411632i
\(316\) 3653.42 + 2198.19i 0.650383 + 0.391322i
\(317\) 5455.32 894.355i 0.966566 0.158461i 0.342230 0.939616i \(-0.388818\pi\)
0.624336 + 0.781156i \(0.285370\pi\)
\(318\) 4991.09 4350.64i 0.880146 0.767208i
\(319\) 7833.82 2175.05i 1.37495 0.381754i
\(320\) −81.9351 + 107.784i −0.0143135 + 0.0188291i
\(321\) 3018.56 2103.52i 0.524859 0.365754i
\(322\) 423.111 1523.91i 0.0732268 0.263739i
\(323\) −4316.78 + 2288.61i −0.743628 + 0.394247i
\(324\) −1423.96 + 12740.3i −0.244162 + 2.18455i
\(325\) 1366.87 74.1096i 0.233293 0.0126488i
\(326\) −2514.49 4742.83i −0.427192 0.805770i
\(327\) −2403.80 + 7447.88i −0.406515 + 1.25954i
\(328\) 10533.9 + 13857.1i 1.77328 + 2.33271i
\(329\) −3282.42 2495.23i −0.550048 0.418135i
\(330\) 428.430 + 1834.24i 0.0714675 + 0.305975i
\(331\) −4997.92 + 4734.28i −0.829941 + 0.786162i −0.979256 0.202628i \(-0.935052\pi\)
0.149315 + 0.988790i \(0.452293\pi\)
\(332\) 163.926 + 999.904i 0.0270982 + 0.165292i
\(333\) 295.962 410.741i 0.0487046 0.0675930i
\(334\) 916.767 1981.56i 0.150189 0.324629i
\(335\) −210.451 + 396.954i −0.0343230 + 0.0647400i
\(336\) −3475.33 + 3377.43i −0.564271 + 0.548375i
\(337\) 567.279 + 384.625i 0.0916963 + 0.0621716i 0.606174 0.795332i \(-0.292704\pi\)
−0.514477 + 0.857504i \(0.672014\pi\)
\(338\) −10249.0 2255.97i −1.64932 0.363044i
\(339\) 654.050 + 9752.73i 0.104788 + 1.56252i
\(340\) 863.472 519.534i 0.137730 0.0828697i
\(341\) 6492.94 5515.16i 1.03112 0.875843i
\(342\) 12419.3 3068.92i 1.96362 0.485229i
\(343\) −5282.82 + 1162.84i −0.831619 + 0.183053i
\(344\) −14642.8 5834.23i −2.29502 0.914420i
\(345\) 135.746 147.029i 0.0211835 0.0229442i
\(346\) −2358.57 + 14386.6i −0.366466 + 2.23535i
\(347\) 2022.14 + 2982.44i 0.312837 + 0.461400i 0.951306 0.308247i \(-0.0997424\pi\)
−0.638469 + 0.769647i \(0.720432\pi\)
\(348\) 3774.18 + 10744.9i 0.581371 + 1.65514i
\(349\) 4002.25 11878.3i 0.613856 1.82186i 0.0456726 0.998956i \(-0.485457\pi\)
0.568183 0.822902i \(-0.307647\pi\)
\(350\) 5552.53 + 603.874i 0.847987 + 0.0922241i
\(351\) 1477.79 472.105i 0.224725 0.0717923i
\(352\) −497.977 + 9184.65i −0.0754042 + 1.39075i
\(353\) 4368.42 0.658661 0.329331 0.944215i \(-0.393177\pi\)
0.329331 + 0.944215i \(0.393177\pi\)
\(354\) 8982.53 7822.42i 1.34863 1.17446i
\(355\) −653.736 −0.0977371
\(356\) 605.044 11159.4i 0.0900766 1.66136i
\(357\) −2234.21 + 923.493i −0.331224 + 0.136909i
\(358\) −15004.0 1631.79i −2.21505 0.240901i
\(359\) 350.379 1039.89i 0.0515106 0.152878i −0.918810 0.394700i \(-0.870848\pi\)
0.970321 + 0.241822i \(0.0777450\pi\)
\(360\) −1375.46 + 420.093i −0.201370 + 0.0615024i
\(361\) −1074.88 1585.33i −0.156711 0.231131i
\(362\) −3458.49 + 21095.9i −0.502139 + 3.06291i
\(363\) −11164.3 10307.5i −1.61425 1.49037i
\(364\) 1611.30 + 641.999i 0.232019 + 0.0924448i
\(365\) −732.914 + 161.327i −0.105103 + 0.0231348i
\(366\) −13094.7 + 3816.87i −1.87014 + 0.545113i
\(367\) 6074.59 5159.80i 0.864008 0.733895i −0.101342 0.994852i \(-0.532314\pi\)
0.965351 + 0.260956i \(0.0840379\pi\)
\(368\) 3140.54 1889.60i 0.444870 0.267669i
\(369\) −248.077 9690.19i −0.0349982 1.36708i
\(370\) 101.762 + 22.3995i 0.0142982 + 0.00314728i
\(371\) −1859.84 1261.00i −0.260264 0.176463i
\(372\) 8316.74 + 8557.81i 1.15915 + 1.19275i
\(373\) −14.0447 + 26.4911i −0.00194962 + 0.00367737i −0.884485 0.466569i \(-0.845490\pi\)
0.882535 + 0.470246i \(0.155835\pi\)
\(374\) −7226.56 + 15620.0i −0.999135 + 2.15960i
\(375\) 1185.65 + 781.931i 0.163271 + 0.107677i
\(376\) −3625.80 22116.4i −0.497305 3.03342i
\(377\) 1000.55 947.772i 0.136687 0.129477i
\(378\) 6261.85 925.411i 0.852049 0.125921i
\(379\) 1055.84 + 802.628i 0.143100 + 0.108782i 0.674275 0.738480i \(-0.264456\pi\)
−0.531175 + 0.847262i \(0.678249\pi\)
\(380\) 1095.19 + 1440.70i 0.147847 + 0.194490i
\(381\) 13143.7 + 4242.13i 1.76739 + 0.570423i
\(382\) 77.6602 + 146.483i 0.0104017 + 0.0196197i
\(383\) 12033.2 652.419i 1.60539 0.0870419i 0.770495 0.637447i \(-0.220009\pi\)
0.834898 + 0.550405i \(0.185527\pi\)
\(384\) 9099.78 116.462i 1.20930 0.0154770i
\(385\) 564.783 299.429i 0.0747636 0.0396372i
\(386\) −2509.34 + 9037.82i −0.330886 + 1.19174i
\(387\) 4716.43 + 7403.04i 0.619509 + 0.972397i
\(388\) −1346.11 + 1770.78i −0.176130 + 0.231695i
\(389\) −13280.3 + 3687.25i −1.73094 + 0.480594i −0.983068 0.183243i \(-0.941340\pi\)
−0.747877 + 0.663838i \(0.768927\pi\)
\(390\) 209.807 + 240.692i 0.0272410 + 0.0312511i
\(391\) 1804.33 295.805i 0.233373 0.0382596i
\(392\) −10944.2 6584.91i −1.41012 0.848439i
\(393\) 2139.02 4162.47i 0.274552 0.534272i
\(394\) −14665.2 7775.00i −1.87518 0.994160i
\(395\) 183.187 193.388i 0.0233345 0.0246339i
\(396\) 19440.4 24111.4i 2.46696 3.05971i
\(397\) −12.9142 + 58.6696i −0.00163260 + 0.00741699i −0.977430 0.211260i \(-0.932243\pi\)
0.975797 + 0.218677i \(0.0701742\pi\)
\(398\) −6138.56 + 667.608i −0.773111 + 0.0840808i
\(399\) −2082.53 3809.46i −0.261296 0.477974i
\(400\) 8379.53 + 9865.14i 1.04744 + 1.23314i
\(401\) 2153.48 725.593i 0.268179 0.0903601i −0.181999 0.983299i \(-0.558257\pi\)
0.450179 + 0.892939i \(0.351360\pi\)
\(402\) 10583.9 1874.53i 1.31312 0.232569i
\(403\) 534.520 1341.54i 0.0660703 0.165824i
\(404\) −16065.0 + 18913.2i −1.97838 + 2.32913i
\(405\) 758.214 + 257.986i 0.0930271 + 0.0316530i
\(406\) 4654.27 3155.67i 0.568935 0.385748i
\(407\) −1136.27 + 452.730i −0.138385 + 0.0551375i
\(408\) −12268.7 4707.26i −1.48870 0.571186i
\(409\) 1140.57 10487.4i 0.137891 1.26789i −0.696839 0.717228i \(-0.745411\pi\)
0.834730 0.550660i \(-0.185624\pi\)
\(410\) 1810.68 837.708i 0.218105 0.100906i
\(411\) −750.855 + 7835.71i −0.0901143 + 0.940406i
\(412\) 8184.59i 0.978704i
\(413\) −3344.72 2270.09i −0.398505 0.270469i
\(414\) −4770.97 395.632i −0.566377 0.0469668i
\(415\) 63.2098 + 3.42713i 0.00747674 + 0.000405377i
\(416\) 654.697 + 1415.10i 0.0771614 + 0.166782i
\(417\) 30.6953 203.514i 0.00360469 0.0238995i
\(418\) −29289.7 9868.85i −3.42729 1.15479i
\(419\) 1029.99 + 2585.09i 0.120092 + 0.301408i 0.976717 0.214531i \(-0.0688224\pi\)
−0.856625 + 0.515939i \(0.827443\pi\)
\(420\) 471.428 + 761.293i 0.0547698 + 0.0884459i
\(421\) −3901.13 639.558i −0.451614 0.0740384i −0.0683173 0.997664i \(-0.521763\pi\)
−0.383297 + 0.923625i \(0.625211\pi\)
\(422\) −10867.2 9230.72i −1.25358 1.06480i
\(423\) −5561.97 + 11172.9i −0.639319 + 1.28427i
\(424\) −2625.61 11928.3i −0.300733 1.36625i
\(425\) 2061.75 + 6119.06i 0.235317 + 0.698395i
\(426\) 9623.26 + 12328.5i 1.09448 + 1.40215i
\(427\) 2386.46 + 3966.32i 0.270465 + 0.449517i
\(428\) −1346.24 12378.5i −0.152039 1.39798i
\(429\) −3624.04 956.430i −0.407856 0.107638i
\(430\) −1013.86 + 1495.33i −0.113704 + 0.167700i
\(431\) −12488.3 11829.5i −1.39568 1.32206i −0.887496 0.460815i \(-0.847557\pi\)
−0.508187 0.861246i \(-0.669684\pi\)
\(432\) 12010.2 + 8422.62i 1.33759 + 0.938041i
\(433\) −3835.73 1774.60i −0.425712 0.196955i 0.195322 0.980739i \(-0.437425\pi\)
−0.621034 + 0.783784i \(0.713287\pi\)
\(434\) 3037.76 5048.80i 0.335984 0.558410i
\(435\) 706.280 85.9714i 0.0778472 0.00947589i
\(436\) 18214.4 + 19228.7i 2.00072 + 2.11213i
\(437\) 878.443 + 3163.87i 0.0961594 + 0.346335i
\(438\) 13831.2 + 11446.8i 1.50886 + 1.24875i
\(439\) −1313.29 + 998.336i −0.142779 + 0.108538i −0.674125 0.738617i \(-0.735479\pi\)
0.531347 + 0.847154i \(0.321686\pi\)
\(440\) 3348.01 + 929.571i 0.362751 + 0.100717i
\(441\) 2800.97 + 6538.10i 0.302448 + 0.705982i
\(442\) 157.947 + 2913.17i 0.0169973 + 0.313496i
\(443\) 520.766 + 9604.96i 0.0558518 + 1.03012i 0.883367 + 0.468682i \(0.155271\pi\)
−0.827515 + 0.561443i \(0.810246\pi\)
\(444\) −739.251 1545.65i −0.0790164 0.165210i
\(445\) −672.753 186.789i −0.0716664 0.0198981i
\(446\) −21153.4 + 16080.4i −2.24584 + 1.70724i
\(447\) −9218.81 + 11139.0i −0.975469 + 1.17865i
\(448\) −294.077 1059.17i −0.0310130 0.111699i
\(449\) −2409.08 2543.23i −0.253210 0.267311i 0.586981 0.809600i \(-0.300316\pi\)
−0.840192 + 0.542290i \(0.817558\pi\)
\(450\) −1347.05 16852.8i −0.141112 1.76544i
\(451\) −12073.9 + 20067.0i −1.26062 + 2.09516i
\(452\) 30022.7 + 13890.0i 3.12422 + 1.44542i
\(453\) −7307.41 + 12504.5i −0.757908 + 1.29694i
\(454\) 23304.8 + 22075.4i 2.40913 + 2.28205i
\(455\) 60.8110 89.6896i 0.00626564 0.00924113i
\(456\) 6021.80 22817.4i 0.618414 2.34325i
\(457\) −1377.55 12666.3i −0.141004 1.29651i −0.824209 0.566286i \(-0.808380\pi\)
0.683204 0.730227i \(-0.260586\pi\)
\(458\) −10984.8 18256.9i −1.12071 1.86264i
\(459\) 4010.66 + 6120.94i 0.407846 + 0.622442i
\(460\) −216.241 641.780i −0.0219180 0.0650503i
\(461\) 2546.83 + 11570.4i 0.257305 + 1.16895i 0.911070 + 0.412251i \(0.135257\pi\)
−0.653765 + 0.756697i \(0.726812\pi\)
\(462\) −13960.6 6243.23i −1.40586 0.628704i
\(463\) 1682.91 + 1429.48i 0.168924 + 0.143485i 0.727861 0.685725i \(-0.240515\pi\)
−0.558937 + 0.829210i \(0.688791\pi\)
\(464\) 12859.9 + 2108.27i 1.28665 + 0.210935i
\(465\) 633.842 392.505i 0.0632123 0.0391440i
\(466\) 11999.1 + 30115.6i 1.19281 + 2.99373i
\(467\) −11038.8 3719.42i −1.09383 0.368553i −0.286154 0.958184i \(-0.592377\pi\)
−0.807673 + 0.589631i \(0.799273\pi\)
\(468\) 997.056 5154.72i 0.0984806 0.509139i
\(469\) −1531.66 3310.63i −0.150801 0.325951i
\(470\) −2564.99 139.070i −0.251733 0.0136485i
\(471\) −8409.29 348.072i −0.822674 0.0340516i
\(472\) −4713.23 21460.8i −0.459628 2.09283i
\(473\) 21207.3i 2.06155i
\(474\) −6343.58 607.873i −0.614706 0.0589041i
\(475\) −10524.1 + 4868.99i −1.01659 + 0.470325i
\(476\) −884.592 + 8133.69i −0.0851790 + 0.783208i
\(477\) −2697.04 + 6244.13i −0.258887 + 0.599369i
\(478\) 19851.4 7909.52i 1.89954 0.756847i
\(479\) 9880.10 6698.87i 0.942449 0.638997i 0.00986610 0.999951i \(-0.496859\pi\)
0.932583 + 0.360955i \(0.117549\pi\)
\(480\) −162.967 + 788.285i −0.0154966 + 0.0749586i
\(481\) −134.228 + 158.026i −0.0127241 + 0.0149800i
\(482\) 4166.54 10457.2i 0.393736 0.988203i
\(483\) 283.342 + 1599.80i 0.0266926 + 0.150711i
\(484\) −48731.9 + 16419.7i −4.57663 + 1.54205i
\(485\) 89.9639 + 105.914i 0.00842278 + 0.00991607i
\(486\) −6295.99 18096.4i −0.587638 1.68903i
\(487\) 6159.33 669.867i 0.573112 0.0623297i 0.183026 0.983108i \(-0.441411\pi\)
0.390086 + 0.920778i \(0.372445\pi\)
\(488\) −5408.81 + 24572.5i −0.501733 + 2.27939i
\(489\) 4432.47 + 3280.83i 0.409904 + 0.303403i
\(490\) −1006.76 + 1062.82i −0.0928175 + 0.0979862i
\(491\) 985.495 + 522.477i 0.0905800 + 0.0480225i 0.513083 0.858339i \(-0.328503\pi\)
−0.422503 + 0.906362i \(0.638848\pi\)
\(492\) −29178.0 14994.0i −2.67367 1.37395i
\(493\) 5570.37 + 3351.58i 0.508878 + 0.306182i
\(494\) −5170.26 + 847.621i −0.470893 + 0.0771989i
\(495\) −1210.05 1509.96i −0.109874 0.137106i
\(496\) 13157.3 3653.10i 1.19109 0.330703i
\(497\) 3212.06 4225.39i 0.289901 0.381358i
\(498\) −865.843 1242.49i −0.0779104 0.111802i
\(499\) 1501.69 5408.60i 0.134719 0.485214i −0.865148 0.501517i \(-0.832776\pi\)
0.999867 + 0.0163022i \(0.00518938\pi\)
\(500\) 4246.70 2251.46i 0.379836 0.201376i
\(501\) 28.7031 + 2242.73i 0.00255960 + 0.199995i
\(502\) 25183.6 1365.42i 2.23905 0.121398i
\(503\) −4534.73 8553.40i −0.401975 0.758206i 0.597057 0.802199i \(-0.296337\pi\)
−0.999032 + 0.0439935i \(0.985992\pi\)
\(504\) 4042.92 10954.3i 0.357313 0.968142i
\(505\) 938.216 + 1234.20i 0.0826734 + 0.108755i
\(506\) 9207.84 + 6999.62i 0.808969 + 0.614962i
\(507\) 10498.0 2452.05i 0.919593 0.214792i
\(508\) 33934.1 32144.1i 2.96375 2.80741i
\(509\) 2353.81 + 14357.6i 0.204972 + 1.25027i 0.866051 + 0.499956i \(0.166650\pi\)
−0.661079 + 0.750316i \(0.729901\pi\)
\(510\) −829.209 + 1257.34i −0.0719961 + 0.109168i
\(511\) 2558.37 5529.82i 0.221478 0.478718i
\(512\) 12090.5 22805.1i 1.04361 1.96847i
\(513\) −10149.1 + 8348.76i −0.873476 + 0.718532i
\(514\) −17789.2 12061.4i −1.52655 1.03503i
\(515\) −499.375 109.921i −0.0427284 0.00940522i
\(516\) 29640.0 1987.75i 2.52873 0.169585i
\(517\) 25837.4 15545.8i 2.19792 1.32245i
\(518\) −644.774 + 547.676i −0.0546906 + 0.0464546i
\(519\) −4190.93 14378.0i −0.354454 1.21604i
\(520\) 575.234 126.619i 0.0485109 0.0106781i
\(521\) −919.061 366.188i −0.0772837 0.0307926i 0.331176 0.943569i \(-0.392555\pi\)
−0.408460 + 0.912776i \(0.633934\pi\)
\(522\) −12018.0 12053.8i −1.00769 1.01069i
\(523\) 1147.96 7002.25i 0.0959786 0.585443i −0.894423 0.447222i \(-0.852413\pi\)
0.990401 0.138221i \(-0.0441385\pi\)
\(524\) −8888.15 13109.0i −0.740994 1.09288i
\(525\) −5413.38 + 1901.46i −0.450018 + 0.158070i
\(526\) −293.417 + 870.830i −0.0243224 + 0.0721863i
\(527\) 6772.00 + 736.500i 0.559759 + 0.0608775i
\(528\) −13538.3 32753.2i −1.11587 2.69962i
\(529\) −592.184 + 10922.2i −0.0486713 + 0.897689i
\(530\) −1399.91 −0.114733
\(531\) −4857.22 + 11230.7i −0.396959 + 0.917836i
\(532\) −14693.0 −1.19741
\(533\) −214.926 + 3964.08i −0.0174662 + 0.322145i
\(534\) 6380.65 + 15436.7i 0.517074 + 1.25096i
\(535\) −773.341 84.1059i −0.0624943 0.00679666i
\(536\) 6331.02 18789.8i 0.510183 1.51417i
\(537\) 14628.0 5138.13i 1.17550 0.412898i
\(538\) −6361.72 9382.83i −0.509801 0.751900i
\(539\) 2780.17 16958.3i 0.222171 1.35519i
\(540\) 1996.95 1832.73i 0.159139 0.146052i
\(541\) −15533.4 6189.07i −1.23444 0.491847i −0.340591 0.940211i \(-0.610627\pi\)
−0.893851 + 0.448365i \(0.852007\pi\)
\(542\) −31321.8 + 6894.45i −2.48226 + 0.546388i
\(543\) −6145.39 21083.2i −0.485679 1.66624i
\(544\) −5605.62 + 4761.45i −0.441799 + 0.375268i
\(545\) 1417.85 853.090i 0.111438 0.0670502i
\(546\) −2586.57 + 173.464i −0.202738 + 0.0135963i
\(547\) −19941.2 4389.39i −1.55873 0.343102i −0.649817 0.760091i \(-0.725155\pi\)
−0.908912 + 0.416988i \(0.863086\pi\)
\(548\) 22049.4 + 14949.9i 1.71880 + 1.16538i
\(549\) 10443.5 9341.29i 0.811873 0.726187i
\(550\) −19132.8 + 36088.3i −1.48332 + 2.79784i
\(551\) −4902.06 + 10595.6i −0.379011 + 0.819218i
\(552\) −4861.96 + 7372.24i −0.374889 + 0.568448i
\(553\) 349.886 + 2134.21i 0.0269054 + 0.164115i
\(554\) 9716.55 9204.00i 0.745156 0.705849i
\(555\) −104.234 + 24.3464i −0.00797209 + 0.00186206i
\(556\) −554.509 421.526i −0.0422957 0.0321523i
\(557\) 11633.1 + 15303.1i 0.884938 + 1.16412i 0.985583 + 0.169194i \(0.0541163\pi\)
−0.100645 + 0.994922i \(0.532091\pi\)
\(558\) −16732.5 6175.47i −1.26943 0.468510i
\(559\) −1683.90 3176.17i −0.127408 0.240318i
\(560\) 1023.12 55.4722i 0.0772052 0.00418594i
\(561\) −226.256 17678.6i −0.0170277 1.33047i
\(562\) 27145.7 14391.7i 2.03749 1.08021i
\(563\) −3322.90 + 11968.0i −0.248745 + 0.895898i 0.728722 + 0.684810i \(0.240115\pi\)
−0.977467 + 0.211089i \(0.932299\pi\)
\(564\) 24149.1 + 34654.0i 1.80294 + 2.58723i
\(565\) 1250.70 1645.26i 0.0931277 0.122507i
\(566\) −1066.33 + 296.065i −0.0791893 + 0.0219868i
\(567\) −5392.89 + 3633.10i −0.399436 + 0.269093i
\(568\) 28470.0 4667.43i 2.10313 0.344790i
\(569\) −14723.9 8859.06i −1.08481 0.652708i −0.143295 0.989680i \(-0.545770\pi\)
−0.941515 + 0.336972i \(0.890597\pi\)
\(570\) −2405.75 1236.27i −0.176782 0.0908450i
\(571\) −6107.47 3237.97i −0.447617 0.237312i 0.229322 0.973351i \(-0.426349\pi\)
−0.676939 + 0.736039i \(0.736694\pi\)
\(572\) −8723.26 + 9209.03i −0.637653 + 0.673163i
\(573\) −136.897 101.329i −0.00998073 0.00738754i
\(574\) −3482.07 + 15819.2i −0.253204 + 1.15032i
\(575\) 4313.99 469.174i 0.312879 0.0340277i
\(576\) −2983.09 + 1473.95i −0.215791 + 0.106623i
\(577\) −15414.5 18147.4i −1.11216 1.30933i −0.946339 0.323175i \(-0.895250\pi\)
−0.165817 0.986157i \(-0.553026\pi\)
\(578\) 10508.6 3540.78i 0.756232 0.254804i
\(579\) −1680.42 9487.89i −0.120614 0.681007i
\(580\) 891.253 2236.88i 0.0638056 0.160140i
\(581\) −332.726 + 391.715i −0.0237587 + 0.0279709i
\(582\) 673.065 3255.67i 0.0479372 0.231876i
\(583\) 13601.4 9222.00i 0.966232 0.655122i
\(584\) 30766.4 12258.5i 2.18001 0.868594i
\(585\) −301.120 130.063i −0.0212816 0.00919224i
\(586\) −4405.64 + 40509.2i −0.310572 + 2.85566i
\(587\) 1071.95 495.937i 0.0753733 0.0348714i −0.381840 0.924228i \(-0.624710\pi\)
0.457214 + 0.889357i \(0.348847\pi\)
\(588\) 23962.0 + 2296.16i 1.68057 + 0.161041i
\(589\) 12233.2i 0.855788i
\(590\) −2518.40 1.19242i −0.175730 8.32052e-5i
\(591\) 17036.9 + 705.183i 1.18580 + 0.0490818i
\(592\) −1957.65 106.141i −0.135910 0.00736884i
\(593\) 2160.22 + 4669.24i 0.149595 + 0.323343i 0.967857 0.251502i \(-0.0809244\pi\)
−0.818262 + 0.574845i \(0.805062\pi\)
\(594\) −10663.2 + 45046.9i −0.736557 + 3.11161i
\(595\) 484.389 + 163.210i 0.0333748 + 0.0112453i
\(596\) 18112.2 + 45458.1i 1.24480 + 3.12422i
\(597\) 5392.90 3339.54i 0.369710 0.228942i
\(598\) 1934.82 + 317.198i 0.132309 + 0.0216909i
\(599\) 12025.2 + 10214.3i 0.820262 + 0.696737i 0.955794 0.294036i \(-0.0949987\pi\)
−0.135533 + 0.990773i \(0.543275\pi\)
\(600\) −28469.9 12731.8i −1.93713 0.866292i
\(601\) −3681.27 16724.2i −0.249854 1.13510i −0.919707 0.392604i \(-0.871574\pi\)
0.669854 0.742493i \(-0.266357\pi\)
\(602\) −4683.51 13900.2i −0.317085 0.941076i
\(603\) −8977.57 + 6428.36i −0.606294 + 0.434134i
\(604\) 25269.9 + 41998.9i 1.70235 + 2.82932i
\(605\) 347.353 + 3193.85i 0.0233420 + 0.214626i
\(606\) 9464.24 35861.3i 0.634420 2.40390i
\(607\) 1912.03 2820.03i 0.127853 0.188569i −0.758375 0.651819i \(-0.774006\pi\)
0.886228 + 0.463250i \(0.153317\pi\)
\(608\) −9589.12 9083.30i −0.639622 0.605882i
\(609\) −2914.56 + 4987.42i −0.193931 + 0.331856i
\(610\) 2617.31 + 1210.90i 0.173724 + 0.0803735i
\(611\) 2635.24 4379.80i 0.174485 0.289996i
\(612\) 24687.0 1973.24i 1.63058 0.130332i
\(613\) −6432.71 6790.93i −0.423842 0.447444i 0.478744 0.877955i \(-0.341092\pi\)
−0.902586 + 0.430510i \(0.858334\pi\)
\(614\) −3258.62 11736.5i −0.214181 0.771411i
\(615\) −1306.71 + 1578.89i −0.0856776 + 0.103524i
\(616\) −22458.4 + 17072.4i −1.46895 + 1.11667i
\(617\) −26379.1 7324.13i −1.72121 0.477890i −0.740284 0.672295i \(-0.765309\pi\)
−0.980921 + 0.194404i \(0.937723\pi\)
\(618\) 5278.07 + 11035.5i 0.343552 + 0.718308i
\(619\) 857.413 + 15814.0i 0.0556742 + 1.02685i 0.884262 + 0.466991i \(0.154662\pi\)
−0.828588 + 0.559859i \(0.810855\pi\)
\(620\) −136.597 2519.38i −0.00884818 0.163195i
\(621\) 4596.78 1748.03i 0.297041 0.112956i
\(622\) −9595.50 2664.18i −0.618561 0.171743i
\(623\) 4512.80 3430.55i 0.290211 0.220613i
\(624\) −4628.26 3830.41i −0.296921 0.245736i
\(625\) 4059.43 + 14620.7i 0.259804 + 0.935728i
\(626\) −28165.3 29733.7i −1.79826 1.89840i
\(627\) 31518.0 3836.51i 2.00751 0.244363i
\(628\) −14684.9 + 24406.5i −0.933108 + 1.55084i
\(629\) −887.634 410.663i −0.0562676 0.0260321i
\(630\) −1126.58 722.460i −0.0712446 0.0456881i
\(631\) −4655.35 4409.79i −0.293703 0.278210i 0.526632 0.850093i \(-0.323455\pi\)
−0.820335 + 0.571883i \(0.806213\pi\)
\(632\) −6597.02 + 9729.88i −0.415214 + 0.612395i
\(633\) 14162.4 + 3737.65i 0.889268 + 0.234689i
\(634\) 3023.27 + 27798.5i 0.189384 + 1.74135i
\(635\) −1505.50 2502.16i −0.0940850 0.156371i
\(636\) 14163.8 + 18145.4i 0.883068 + 1.13131i
\(637\) −930.139 2760.55i −0.0578547 0.171707i
\(638\) 8840.42 + 40162.4i 0.548582 + 2.49223i
\(639\) −14382.6 7159.81i −0.890405 0.443251i
\(640\) −1466.51 1245.66i −0.0905762 0.0769361i
\(641\) −18181.5 2980.71i −1.12032 0.183668i −0.426971 0.904265i \(-0.640419\pi\)
−0.693353 + 0.720598i \(0.743868\pi\)
\(642\) 9797.78 + 15822.1i 0.602317 + 0.972661i
\(643\) 5537.97 + 13899.3i 0.339652 + 0.852462i 0.995250 + 0.0973522i \(0.0310373\pi\)
−0.655598 + 0.755110i \(0.727583\pi\)
\(644\) 5210.59 + 1755.65i 0.318829 + 0.107426i
\(645\) 276.790 1835.15i 0.0168971 0.112029i
\(646\) −10377.1 22429.8i −0.632015 1.36608i
\(647\) −9624.94 521.849i −0.584846 0.0317094i −0.240658 0.970610i \(-0.577363\pi\)
−0.344188 + 0.938901i \(0.611846\pi\)
\(648\) −34862.0 5821.89i −2.11344 0.352940i
\(649\) 24476.4 16578.5i 1.48041 1.00272i
\(650\) 6924.04i 0.417820i
\(651\) −577.378 + 6025.34i −0.0347607 + 0.362752i
\(652\) 16938.0 7836.34i 1.01740 0.470697i
\(653\) −676.280 + 6218.29i −0.0405281 + 0.372650i 0.956257 + 0.292528i \(0.0944965\pi\)
−0.996785 + 0.0801220i \(0.974469\pi\)
\(654\) −36959.3 14180.6i −2.20982 0.847867i
\(655\) −919.206 + 366.245i −0.0548341 + 0.0218479i
\(656\) −31069.8 + 21065.8i −1.84919 + 1.25378i
\(657\) −17891.5 4477.68i −1.06243 0.265892i
\(658\) 13501.7 15895.4i 0.799926 0.941745i
\(659\) −1233.07 + 3094.78i −0.0728887 + 0.182937i −0.960907 0.276871i \(-0.910702\pi\)
0.888018 + 0.459808i \(0.152082\pi\)
\(660\) −6448.20 + 1142.05i −0.380297 + 0.0673550i
\(661\) −9441.69 + 3181.28i −0.555581 + 0.187197i −0.583066 0.812425i \(-0.698147\pi\)
0.0274843 + 0.999622i \(0.491250\pi\)
\(662\) −22543.1 26539.8i −1.32351 1.55815i
\(663\) −1437.60 2629.72i −0.0842109 0.154042i
\(664\) −2777.24 + 302.043i −0.162316 + 0.0176529i
\(665\) −197.330 + 896.478i −0.0115069 + 0.0522766i
\(666\) 1993.51 + 1607.31i 0.115986 + 0.0935168i
\(667\) 3004.49 3171.80i 0.174414 0.184127i
\(668\) 6706.42 + 3555.52i 0.388442 + 0.205939i
\(669\) 12476.2 24278.3i 0.721011 1.40307i
\(670\) −1947.29 1171.64i −0.112284 0.0675591i
\(671\) −33406.4 + 5476.70i −1.92197 + 0.315090i
\(672\) −4294.33 4926.48i −0.246514 0.282802i
\(673\) 32330.7 8976.58i 1.85180 0.514148i 0.851842 0.523799i \(-0.175486\pi\)
0.999953 + 0.00965049i \(0.00307189\pi\)
\(674\) −2098.00 + 2759.87i −0.119899 + 0.157724i
\(675\) 8718.15 + 15021.0i 0.497128 + 0.856531i
\(676\) 9760.65 35154.7i 0.555339 2.00015i
\(677\) −7930.73 + 4204.61i −0.450226 + 0.238695i −0.678062 0.735005i \(-0.737180\pi\)
0.227836 + 0.973700i \(0.426835\pi\)
\(678\) −49437.9 + 632.720i −2.80037 + 0.0358399i
\(679\) −1126.60 + 61.0823i −0.0636743 + 0.00345232i
\(680\) 1301.41 + 2454.72i 0.0733923 + 0.138433i
\(681\) −31382.0 10128.5i −1.76587 0.569934i
\(682\) 26077.7 + 34304.6i 1.46417 + 1.92609i
\(683\) 15935.0 + 12113.5i 0.892733 + 0.678638i 0.947464 0.319863i \(-0.103637\pi\)
−0.0547307 + 0.998501i \(0.517430\pi\)
\(684\) 8316.20 + 43691.0i 0.464880 + 2.44235i
\(685\) 1208.28 1144.54i 0.0673956 0.0638405i
\(686\) −4426.54 27000.7i −0.246365 1.50276i
\(687\) 18272.2 + 12050.4i 1.01474 + 0.669217i
\(688\) 14273.0 30850.7i 0.790922 1.70955i
\(689\) 1304.81 2461.14i 0.0721471 0.136084i
\(690\) 705.434 + 725.882i 0.0389209 + 0.0400491i
\(691\) −6179.41 4189.75i −0.340197 0.230659i 0.379110 0.925352i \(-0.376230\pi\)
−0.719307 + 0.694692i \(0.755540\pi\)
\(692\) −49499.1 10895.6i −2.71918 0.598537i
\(693\) 15705.0 402.061i 0.860871 0.0220390i
\(694\) −15617.4 + 9396.66i −0.854218 + 0.513966i
\(695\) −33.1662 + 28.1716i −0.00181017 + 0.00153757i
\(696\) −30144.5 + 8786.61i −1.64170 + 0.478528i
\(697\) −18288.4 + 4025.58i −0.993864 + 0.218766i
\(698\) 58898.3 + 23467.2i 3.19389 + 1.27256i
\(699\) −24468.4 22590.7i −1.32400 1.22240i
\(700\) −3141.43 + 19161.9i −0.169622 + 1.03465i
\(701\) −2997.40 4420.84i −0.161498 0.238192i 0.738327 0.674443i \(-0.235616\pi\)
−0.899825 + 0.436251i \(0.856306\pi\)
\(702\) 1979.81 + 7593.24i 0.106443 + 0.408246i
\(703\) 560.817 1664.44i 0.0300876 0.0892969i
\(704\) 7991.84 + 869.165i 0.427846 + 0.0465311i
\(705\) 2438.71 1008.02i 0.130280 0.0538501i
\(706\) −1196.27 + 22063.9i −0.0637707 + 1.17618i
\(707\) −12587.0 −0.669567
\(708\) 25464.8 + 32655.1i 1.35173 + 1.73341i
\(709\) −20644.8 −1.09356 −0.546779 0.837277i \(-0.684146\pi\)
−0.546779 + 0.837277i \(0.684146\pi\)
\(710\) 179.022 3301.87i 0.00946278 0.174531i
\(711\) 6148.25 2248.38i 0.324300 0.118595i
\(712\) 30631.9 + 3331.42i 1.61233 + 0.175351i
\(713\) 1461.73 4338.27i 0.0767775 0.227868i
\(714\) −4052.52 11537.4i −0.212412 0.604727i
\(715\) 444.725 + 655.921i 0.0232612 + 0.0343078i
\(716\) 8488.78 51779.2i 0.443073 2.70263i
\(717\) −14891.2 + 16128.9i −0.775622 + 0.840091i
\(718\) 5156.29 + 2054.45i 0.268010 + 0.106785i
\(719\) 30170.3 6640.98i 1.56490 0.344460i 0.653806 0.756663i \(-0.273171\pi\)
0.911092 + 0.412203i \(0.135240\pi\)
\(720\) −744.039 3010.96i −0.0385121 0.155850i
\(721\) 3164.10 2687.61i 0.163436 0.138824i
\(722\) 8301.47 4994.83i 0.427907 0.257463i
\(723\) 773.765 + 11537.8i 0.0398017 + 0.593495i
\(724\) −72583.2 15976.8i −3.72587 0.820127i
\(725\) 12770.3 + 8658.45i 0.654173 + 0.443540i
\(726\) 55118.0 53565.4i 2.81766 2.73829i
\(727\) −1234.55 + 2328.60i −0.0629804 + 0.118794i −0.913003 0.407952i \(-0.866243\pi\)
0.850023 + 0.526746i \(0.176588\pi\)
\(728\) −2007.96 + 4340.13i −0.102225 + 0.220956i
\(729\) 13855.7 + 13980.0i 0.703944 + 0.710255i
\(730\) −614.118 3745.96i −0.0311364 0.189923i
\(731\) 12311.0 11661.6i 0.622901 0.590043i
\(732\) −10785.6 46176.5i −0.544599 2.33160i
\(733\) 8419.44 + 6400.29i 0.424255 + 0.322511i 0.795422 0.606056i \(-0.207249\pi\)
−0.371167 + 0.928566i \(0.621042\pi\)
\(734\) 24397.5 + 32094.3i 1.22688 + 1.61393i
\(735\) 461.913 1431.18i 0.0231808 0.0718231i
\(736\) 2315.25 + 4367.02i 0.115953 + 0.218710i
\(737\) 26637.9 1444.27i 1.33137 0.0721849i
\(738\) 49010.8 + 1400.63i 2.44460 + 0.0698617i
\(739\) −13916.5 + 7378.08i −0.692731 + 0.367263i −0.777278 0.629157i \(-0.783400\pi\)
0.0845475 + 0.996419i \(0.473056\pi\)
\(740\) −96.9131 + 349.049i −0.00481432 + 0.0173396i
\(741\) 4415.76 3077.17i 0.218916 0.152554i
\(742\) 6878.33 9048.28i 0.340312 0.447672i
\(743\) 27743.1 7702.82i 1.36984 0.380335i 0.496753 0.867892i \(-0.334526\pi\)
0.873091 + 0.487557i \(0.162112\pi\)
\(744\) −24801.4 + 21618.9i −1.22213 + 1.06531i
\(745\) 3016.84 494.585i 0.148360 0.0243224i
\(746\) −129.954 78.1910i −0.00637798 0.00383750i
\(747\) 1353.12 + 767.682i 0.0662761 + 0.0376011i
\(748\) −52864.4 28026.9i −2.58411 1.37001i
\(749\) 4343.34 4585.21i 0.211885 0.223685i
\(750\) −4274.03 + 5774.31i −0.208088 + 0.281131i
\(751\) −118.212 + 537.042i −0.00574382 + 0.0260944i −0.979405 0.201904i \(-0.935287\pi\)
0.973661 + 0.227998i \(0.0732181\pi\)
\(752\) 48048.9 5225.63i 2.33000 0.253403i
\(753\) −22733.3 + 12427.7i −1.10020 + 0.601449i
\(754\) 4512.98 + 5313.09i 0.217975 + 0.256620i
\(755\) 2901.90 977.764i 0.139882 0.0471318i
\(756\) 2033.96 + 21912.1i 0.0978496 + 1.05415i
\(757\) 8479.01 21280.7i 0.407100 1.02174i −0.572341 0.820015i \(-0.693965\pi\)
0.979441 0.201729i \(-0.0646559\pi\)
\(758\) −4343.02 + 5113.00i −0.208108 + 0.245003i
\(759\) −11635.7 2405.52i −0.556455 0.115039i
\(760\) −4129.76 + 2800.05i −0.197108 + 0.133643i
\(761\) −21914.2 + 8731.42i −1.04388 + 0.415918i −0.828133 0.560532i \(-0.810597\pi\)
−0.215743 + 0.976450i \(0.569218\pi\)
\(762\) −25025.4 + 65224.3i −1.18973 + 3.10082i
\(763\) −1452.53 + 13355.8i −0.0689187 + 0.633697i
\(764\) −523.131 + 242.026i −0.0247725 + 0.0114610i
\(765\) 211.157 1532.76i 0.00997958 0.0724404i
\(766\) 60955.3i 2.87520i
\(767\) 2349.41 4426.40i 0.110603 0.208381i
\(768\) −1691.84 + 40874.3i −0.0794911 + 1.92047i
\(769\) −18252.1 989.600i −0.855901 0.0464056i −0.379036 0.925382i \(-0.623744\pi\)
−0.476865 + 0.878977i \(0.658227\pi\)
\(770\) 1357.68 + 2934.58i 0.0635422 + 0.137344i
\(771\) 21831.9 + 3292.84i 1.01979 + 0.153811i
\(772\) −30902.4 10412.2i −1.44068 0.485420i
\(773\) −12503.3 31381.0i −0.581777 1.460