Properties

Label 225.4.u.a.4.4
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.4
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.10981 - 5.22123i) q^{2} +(-1.99679 - 4.79717i) q^{3} +(-18.7212 + 8.33520i) q^{4} +(-7.33503 + 8.43785i) q^{5} +(-22.8311 + 15.7496i) q^{6} +(18.8450 - 10.8801i) q^{7} +(39.1967 + 53.9496i) q^{8} +(-19.0257 + 19.1578i) q^{9} +O(q^{10})\) \(q+(-1.10981 - 5.22123i) q^{2} +(-1.99679 - 4.79717i) q^{3} +(-18.7212 + 8.33520i) q^{4} +(-7.33503 + 8.43785i) q^{5} +(-22.8311 + 15.7496i) q^{6} +(18.8450 - 10.8801i) q^{7} +(39.1967 + 53.9496i) q^{8} +(-19.0257 + 19.1578i) q^{9} +(52.1964 + 28.9335i) q^{10} +(11.8078 - 2.50982i) q^{11} +(77.3675 + 73.1650i) q^{12} +(-4.12966 + 19.4285i) q^{13} +(-77.7219 - 86.3190i) q^{14} +(55.1243 + 18.3388i) q^{15} +(128.483 - 142.695i) q^{16} +(31.5472 + 43.4210i) q^{17} +(121.142 + 78.0760i) q^{18} +(-108.176 + 78.5941i) q^{19} +(66.9891 - 219.105i) q^{20} +(-89.8233 - 68.6772i) q^{21} +(-26.2087 - 58.8658i) q^{22} +(91.5504 - 82.4324i) q^{23} +(180.538 - 295.759i) q^{24} +(-17.3947 - 123.784i) q^{25} +106.024 q^{26} +(129.894 + 53.0154i) q^{27} +(-262.111 + 360.766i) q^{28} +(5.32156 - 50.6312i) q^{29} +(34.5737 - 308.169i) q^{30} +(26.0878 + 248.208i) q^{31} +(-425.623 - 245.734i) q^{32} +(-35.6177 - 51.6324i) q^{33} +(191.700 - 212.904i) q^{34} +(-46.4233 + 238.817i) q^{35} +(196.499 - 517.240i) q^{36} +(-177.451 + 57.6572i) q^{37} +(530.411 + 477.585i) q^{38} +(101.448 - 18.9839i) q^{39} +(-742.727 - 64.9860i) q^{40} +(384.600 + 81.7492i) q^{41} +(-258.893 + 545.206i) q^{42} +(-444.989 + 256.914i) q^{43} +(-200.136 + 145.407i) q^{44} +(-22.0971 - 301.059i) q^{45} +(-532.001 - 386.521i) q^{46} +(90.3790 + 9.49922i) q^{47} +(-941.084 - 331.424i) q^{48} +(65.2550 - 113.025i) q^{49} +(-626.998 + 228.198i) q^{50} +(145.305 - 238.040i) q^{51} +(-84.6286 - 398.146i) q^{52} +(246.724 - 339.586i) q^{53} +(132.649 - 737.041i) q^{54} +(-65.4330 + 118.042i) q^{55} +(1325.64 + 590.212i) q^{56} +(593.033 + 362.001i) q^{57} +(-270.263 + 28.4058i) q^{58} +(-199.696 - 42.4467i) q^{59} +(-1184.85 + 116.148i) q^{60} +(807.237 - 171.584i) q^{61} +(1267.00 - 411.673i) q^{62} +(-150.098 + 568.031i) q^{63} +(-335.985 + 1034.06i) q^{64} +(-133.644 - 177.354i) q^{65} +(-230.056 + 243.270i) q^{66} +(314.603 - 33.0661i) q^{67} +(-952.523 - 549.939i) q^{68} +(-578.249 - 274.583i) q^{69} +(1298.44 - 22.6543i) q^{70} +(204.942 + 148.899i) q^{71} +(-1779.30 - 275.505i) q^{72} +(463.617 + 150.638i) q^{73} +(497.977 + 862.522i) q^{74} +(-559.078 + 330.615i) q^{75} +(1370.07 - 2373.04i) q^{76} +(195.210 - 175.768i) q^{77} +(-211.707 - 508.614i) q^{78} +(-60.9111 + 579.531i) q^{79} +(261.611 + 2130.79i) q^{80} +(-5.04597 - 728.983i) q^{81} -2098.81i q^{82} +(307.701 - 691.107i) q^{83} +(2254.03 + 537.022i) q^{84} +(-597.779 - 52.3036i) q^{85} +(1835.26 + 2038.26i) q^{86} +(-253.513 + 75.5713i) q^{87} +(598.230 + 538.649i) q^{88} +(-192.387 + 592.105i) q^{89} +(-1547.38 + 449.491i) q^{90} +(133.562 + 411.061i) q^{91} +(-1026.84 + 2306.32i) q^{92} +(1138.61 - 620.766i) q^{93} +(-50.7056 - 482.432i) q^{94} +(130.305 - 1489.26i) q^{95} +(-328.948 + 2532.46i) q^{96} +(370.223 + 38.9120i) q^{97} +(-662.550 - 215.275i) q^{98} +(-176.569 + 273.963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.10981 5.22123i −0.392376 1.84598i −0.520009 0.854161i \(-0.674071\pi\)
0.127633 0.991821i \(-0.459262\pi\)
\(3\) −1.99679 4.79717i −0.384282 0.923216i
\(4\) −18.7212 + 8.33520i −2.34015 + 1.04190i
\(5\) −7.33503 + 8.43785i −0.656065 + 0.754705i
\(6\) −22.8311 + 15.7496i −1.55346 + 1.07162i
\(7\) 18.8450 10.8801i 1.01753 0.587473i 0.104144 0.994562i \(-0.466790\pi\)
0.913388 + 0.407090i \(0.133456\pi\)
\(8\) 39.1967 + 53.9496i 1.73226 + 2.38426i
\(9\) −19.0257 + 19.1578i −0.704655 + 0.709550i
\(10\) 52.1964 + 28.9335i 1.65059 + 0.914956i
\(11\) 11.8078 2.50982i 0.323653 0.0687946i −0.0432200 0.999066i \(-0.513762\pi\)
0.366873 + 0.930271i \(0.380428\pi\)
\(12\) 77.3675 + 73.1650i 1.86117 + 1.76008i
\(13\) −4.12966 + 19.4285i −0.0881047 + 0.414500i 0.911887 + 0.410441i \(0.134625\pi\)
−0.999992 + 0.00405885i \(0.998708\pi\)
\(14\) −77.7219 86.3190i −1.48372 1.64784i
\(15\) 55.1243 + 18.3388i 0.948869 + 0.315670i
\(16\) 128.483 142.695i 2.00755 2.22961i
\(17\) 31.5472 + 43.4210i 0.450078 + 0.619479i 0.972414 0.233261i \(-0.0749396\pi\)
−0.522337 + 0.852739i \(0.674940\pi\)
\(18\) 121.142 + 78.0760i 1.58631 + 1.02237i
\(19\) −108.176 + 78.5941i −1.30617 + 0.948986i −0.999996 0.00299087i \(-0.999048\pi\)
−0.306171 + 0.951976i \(0.599048\pi\)
\(20\) 66.9891 219.105i 0.748961 2.44967i
\(21\) −89.8233 68.6772i −0.933383 0.713647i
\(22\) −26.2087 58.8658i −0.253987 0.570465i
\(23\) 91.5504 82.4324i 0.829982 0.747319i −0.140090 0.990139i \(-0.544739\pi\)
0.970071 + 0.242820i \(0.0780724\pi\)
\(24\) 180.538 295.759i 1.53551 2.51548i
\(25\) −17.3947 123.784i −0.139158 0.990270i
\(26\) 106.024 0.799730
\(27\) 129.894 + 53.0154i 0.925854 + 0.377882i
\(28\) −262.111 + 360.766i −1.76909 + 2.43494i
\(29\) 5.32156 50.6312i 0.0340755 0.324206i −0.964184 0.265234i \(-0.914551\pi\)
0.998260 0.0589726i \(-0.0187825\pi\)
\(30\) 34.5737 308.169i 0.210409 1.87546i
\(31\) 26.0878 + 248.208i 0.151145 + 1.43805i 0.762651 + 0.646810i \(0.223897\pi\)
−0.611506 + 0.791240i \(0.709436\pi\)
\(32\) −425.623 245.734i −2.35126 1.35750i
\(33\) −35.6177 51.6324i −0.187886 0.272365i
\(34\) 191.700 212.904i 0.966947 1.07390i
\(35\) −46.4233 + 238.817i −0.224199 + 1.15336i
\(36\) 196.499 517.240i 0.909716 2.39463i
\(37\) −177.451 + 57.6572i −0.788452 + 0.256183i −0.675445 0.737411i \(-0.736048\pi\)
−0.113007 + 0.993594i \(0.536048\pi\)
\(38\) 530.411 + 477.585i 2.26432 + 2.03880i
\(39\) 101.448 18.9839i 0.416530 0.0779451i
\(40\) −742.727 64.9860i −2.93589 0.256880i
\(41\) 384.600 + 81.7492i 1.46498 + 0.311392i 0.870282 0.492554i \(-0.163936\pi\)
0.594703 + 0.803946i \(0.297270\pi\)
\(42\) −258.893 + 545.206i −0.951143 + 2.00303i
\(43\) −444.989 + 256.914i −1.57814 + 0.911141i −0.583024 + 0.812455i \(0.698130\pi\)
−0.995119 + 0.0986856i \(0.968536\pi\)
\(44\) −200.136 + 145.407i −0.685719 + 0.498204i
\(45\) −22.0971 301.059i −0.0732008 0.997317i
\(46\) −532.001 386.521i −1.70520 1.23890i
\(47\) 90.3790 + 9.49922i 0.280492 + 0.0294809i 0.243730 0.969843i \(-0.421629\pi\)
0.0367622 + 0.999324i \(0.488296\pi\)
\(48\) −941.084 331.424i −2.82987 0.996602i
\(49\) 65.2550 113.025i 0.190248 0.329519i
\(50\) −626.998 + 228.198i −1.77342 + 0.645441i
\(51\) 145.305 238.040i 0.398956 0.653573i
\(52\) −84.6286 398.146i −0.225690 1.06179i
\(53\) 246.724 339.586i 0.639436 0.880108i −0.359150 0.933280i \(-0.616933\pi\)
0.998585 + 0.0531723i \(0.0169332\pi\)
\(54\) 132.649 737.041i 0.334281 1.85738i
\(55\) −65.4330 + 118.042i −0.160418 + 0.289396i
\(56\) 1325.64 + 590.212i 3.16332 + 1.40840i
\(57\) 593.033 + 362.001i 1.37805 + 0.841196i
\(58\) −270.263 + 28.4058i −0.611849 + 0.0643080i
\(59\) −199.696 42.4467i −0.440648 0.0936626i −0.0177551 0.999842i \(-0.505652\pi\)
−0.422893 + 0.906180i \(0.638985\pi\)
\(60\) −1184.85 + 116.148i −2.54939 + 0.249912i
\(61\) 807.237 171.584i 1.69436 0.360148i 0.743256 0.669008i \(-0.233281\pi\)
0.951108 + 0.308860i \(0.0999473\pi\)
\(62\) 1267.00 411.673i 2.59531 0.843267i
\(63\) −150.098 + 568.031i −0.300169 + 1.13596i
\(64\) −335.985 + 1034.06i −0.656222 + 2.01964i
\(65\) −133.644 177.354i −0.255023 0.338432i
\(66\) −230.056 + 243.270i −0.429059 + 0.453704i
\(67\) 314.603 33.0661i 0.573655 0.0602935i 0.186740 0.982409i \(-0.440208\pi\)
0.386914 + 0.922116i \(0.373541\pi\)
\(68\) −952.523 549.939i −1.69868 0.980735i
\(69\) −578.249 274.583i −1.00888 0.479071i
\(70\) 1298.44 22.6543i 2.21705 0.0386815i
\(71\) 204.942 + 148.899i 0.342565 + 0.248888i 0.745743 0.666233i \(-0.232095\pi\)
−0.403178 + 0.915122i \(0.632095\pi\)
\(72\) −1779.30 275.505i −2.91240 0.450952i
\(73\) 463.617 + 150.638i 0.743318 + 0.241519i 0.656104 0.754671i \(-0.272203\pi\)
0.0872145 + 0.996190i \(0.472203\pi\)
\(74\) 497.977 + 862.522i 0.782279 + 1.35495i
\(75\) −559.078 + 330.615i −0.860757 + 0.509015i
\(76\) 1370.07 2373.04i 2.06787 3.58166i
\(77\) 195.210 175.768i 0.288913 0.260138i
\(78\) −211.707 508.614i −0.307321 0.738323i
\(79\) −60.9111 + 579.531i −0.0867473 + 0.825346i 0.861488 + 0.507778i \(0.169533\pi\)
−0.948235 + 0.317568i \(0.897134\pi\)
\(80\) 261.611 + 2130.79i 0.365613 + 2.97787i
\(81\) −5.04597 728.983i −0.00692178 0.999976i
\(82\) 2098.81i 2.82652i
\(83\) 307.701 691.107i 0.406922 0.913962i −0.587572 0.809172i \(-0.699916\pi\)
0.994494 0.104790i \(-0.0334171\pi\)
\(84\) 2254.03 + 537.022i 2.92780 + 0.697547i
\(85\) −597.779 52.3036i −0.762803 0.0667426i
\(86\) 1835.26 + 2038.26i 2.30117 + 2.55571i
\(87\) −253.513 + 75.5713i −0.312407 + 0.0931275i
\(88\) 598.230 + 538.649i 0.724677 + 0.652502i
\(89\) −192.387 + 592.105i −0.229134 + 0.705202i 0.768711 + 0.639596i \(0.220898\pi\)
−0.997846 + 0.0656067i \(0.979102\pi\)
\(90\) −1547.38 + 449.491i −1.81231 + 0.526450i
\(91\) 133.562 + 411.061i 0.153858 + 0.473526i
\(92\) −1026.84 + 2306.32i −1.16365 + 2.61359i
\(93\) 1138.61 620.766i 1.26955 0.692156i
\(94\) −50.7056 482.432i −0.0556371 0.529351i
\(95\) 130.305 1489.26i 0.140726 1.60837i
\(96\) −328.948 + 2532.46i −0.349720 + 2.69238i
\(97\) 370.223 + 38.9120i 0.387530 + 0.0407310i 0.296290 0.955098i \(-0.404250\pi\)
0.0912396 + 0.995829i \(0.470917\pi\)
\(98\) −662.550 215.275i −0.682935 0.221899i
\(99\) −176.569 + 273.963i −0.179251 + 0.278125i
\(100\) 1357.41 + 2172.39i 1.35741 + 2.17239i
\(101\) −745.832 1291.82i −0.734782 1.27268i −0.954819 0.297189i \(-0.903951\pi\)
0.220037 0.975492i \(-0.429382\pi\)
\(102\) −1404.12 494.492i −1.36302 0.480020i
\(103\) 675.713 + 1517.68i 0.646408 + 1.45186i 0.877816 + 0.478998i \(0.159000\pi\)
−0.231408 + 0.972857i \(0.574333\pi\)
\(104\) −1210.03 + 538.740i −1.14090 + 0.507959i
\(105\) 1238.34 254.166i 1.15095 0.236229i
\(106\) −2046.87 911.325i −1.87556 0.835054i
\(107\) 938.616i 0.848032i 0.905655 + 0.424016i \(0.139380\pi\)
−0.905655 + 0.424016i \(0.860620\pi\)
\(108\) −2873.66 + 90.1799i −2.56035 + 0.0803478i
\(109\) −168.096 517.345i −0.147712 0.454612i 0.849637 0.527367i \(-0.176821\pi\)
−0.997350 + 0.0727553i \(0.976821\pi\)
\(110\) 688.942 + 210.637i 0.597164 + 0.182576i
\(111\) 630.923 + 736.132i 0.539500 + 0.629465i
\(112\) 868.717 4086.99i 0.732911 3.44807i
\(113\) −385.982 + 1815.90i −0.321328 + 1.51173i 0.460174 + 0.887829i \(0.347787\pi\)
−0.781502 + 0.623902i \(0.785546\pi\)
\(114\) 1231.94 3498.11i 1.01212 2.87393i
\(115\) 24.0273 + 1377.13i 0.0194831 + 1.11668i
\(116\) 322.396 + 992.232i 0.258049 + 0.794193i
\(117\) −293.639 448.756i −0.232025 0.354594i
\(118\) 1089.77i 0.850179i
\(119\) 1066.93 + 475.029i 0.821895 + 0.365931i
\(120\) 1171.32 + 3692.75i 0.891052 + 2.80917i
\(121\) −1082.80 + 482.095i −0.813527 + 0.362205i
\(122\) −1791.75 4024.34i −1.32965 2.98645i
\(123\) −375.798 2008.23i −0.275485 1.47216i
\(124\) −2557.26 4429.30i −1.85201 3.20777i
\(125\) 1172.06 + 761.183i 0.838658 + 0.544658i
\(126\) 3132.40 + 153.293i 2.21473 + 0.108385i
\(127\) −183.355 59.5758i −0.128111 0.0416259i 0.244260 0.969710i \(-0.421455\pi\)
−0.372371 + 0.928084i \(0.621455\pi\)
\(128\) 1861.72 + 195.675i 1.28558 + 0.135120i
\(129\) 2121.01 + 1621.68i 1.44763 + 1.10683i
\(130\) −777.688 + 894.613i −0.524675 + 0.603560i
\(131\) 262.191 + 2494.58i 0.174868 + 1.66376i 0.632457 + 0.774596i \(0.282047\pi\)
−0.457588 + 0.889164i \(0.651287\pi\)
\(132\) 1097.17 + 669.739i 0.723459 + 0.441616i
\(133\) −1183.45 + 2658.07i −0.771564 + 1.73296i
\(134\) −521.794 1605.92i −0.336389 1.03530i
\(135\) −1400.11 + 707.154i −0.892609 + 0.450831i
\(136\) −1106.00 + 3403.91i −0.697343 + 2.14620i
\(137\) 1181.31 + 1063.65i 0.736686 + 0.663315i 0.949496 0.313778i \(-0.101595\pi\)
−0.212810 + 0.977094i \(0.568262\pi\)
\(138\) −791.917 + 3323.90i −0.488496 + 2.05036i
\(139\) 641.805 + 712.797i 0.391634 + 0.434954i 0.906428 0.422360i \(-0.138798\pi\)
−0.514794 + 0.857314i \(0.672131\pi\)
\(140\) −1121.49 4857.88i −0.677024 2.93261i
\(141\) −134.898 452.532i −0.0805707 0.270284i
\(142\) 549.990 1235.30i 0.325029 0.730027i
\(143\) 239.773i 0.140215i
\(144\) 289.247 + 5176.32i 0.167388 + 2.99556i
\(145\) 388.185 + 416.284i 0.222324 + 0.238417i
\(146\) 271.991 2587.83i 0.154179 1.46692i
\(147\) −672.501 87.3527i −0.377326 0.0490118i
\(148\) 2841.50 2558.50i 1.57817 1.42099i
\(149\) 430.837 746.232i 0.236883 0.410293i −0.722935 0.690916i \(-0.757208\pi\)
0.959818 + 0.280622i \(0.0905409\pi\)
\(150\) 2346.68 + 2552.16i 1.27737 + 1.38922i
\(151\) 82.6335 + 143.125i 0.0445339 + 0.0771350i 0.887433 0.460936i \(-0.152486\pi\)
−0.842899 + 0.538071i \(0.819153\pi\)
\(152\) −8480.24 2755.40i −4.52525 1.47034i
\(153\) −1432.06 221.738i −0.756700 0.117166i
\(154\) −1134.37 824.168i −0.593572 0.431256i
\(155\) −2285.70 1600.49i −1.18446 0.829384i
\(156\) −1740.99 + 1200.99i −0.893530 + 0.616386i
\(157\) 665.521 + 384.239i 0.338308 + 0.195322i 0.659523 0.751684i \(-0.270758\pi\)
−0.321216 + 0.947006i \(0.604091\pi\)
\(158\) 3093.46 325.136i 1.55761 0.163712i
\(159\) −2121.71 505.495i −1.05825 0.252128i
\(160\) 5195.42 1788.88i 2.56709 0.883897i
\(161\) 828.388 2549.52i 0.405504 1.24801i
\(162\) −3800.58 + 835.375i −1.84322 + 0.405144i
\(163\) −374.812 + 121.784i −0.180108 + 0.0585206i −0.397682 0.917523i \(-0.630185\pi\)
0.217575 + 0.976044i \(0.430185\pi\)
\(164\) −7881.55 + 1675.28i −3.75272 + 0.797665i
\(165\) 696.924 + 78.1885i 0.328821 + 0.0368907i
\(166\) −3949.91 839.580i −1.84682 0.392554i
\(167\) 532.663 55.9851i 0.246819 0.0259417i 0.0196887 0.999806i \(-0.493732\pi\)
0.227130 + 0.973864i \(0.427066\pi\)
\(168\) 184.333 7537.84i 0.0846524 3.46165i
\(169\) 1646.65 + 733.134i 0.749498 + 0.333698i
\(170\) 390.330 + 3179.19i 0.176100 + 1.43431i
\(171\) 552.420 3567.72i 0.247045 1.59550i
\(172\) 6189.27 8518.80i 2.74377 3.77647i
\(173\) −38.1274 179.375i −0.0167559 0.0788304i 0.968975 0.247158i \(-0.0794967\pi\)
−0.985731 + 0.168328i \(0.946163\pi\)
\(174\) 675.925 + 1239.78i 0.294493 + 0.540157i
\(175\) −1674.59 2143.44i −0.723354 0.925880i
\(176\) 1158.96 2007.38i 0.496364 0.859727i
\(177\) 195.126 + 1042.73i 0.0828620 + 0.442806i
\(178\) 3305.03 + 347.372i 1.39170 + 0.146273i
\(179\) 700.126 + 508.671i 0.292345 + 0.212401i 0.724284 0.689502i \(-0.242170\pi\)
−0.431939 + 0.901903i \(0.642170\pi\)
\(180\) 2923.07 + 5452.00i 1.21041 + 2.25760i
\(181\) −822.244 + 597.395i −0.337663 + 0.245326i −0.743675 0.668541i \(-0.766919\pi\)
0.406012 + 0.913868i \(0.366919\pi\)
\(182\) 1998.01 1153.55i 0.813751 0.469819i
\(183\) −2435.00 3529.84i −0.983607 1.42586i
\(184\) 8035.66 + 1708.03i 3.21955 + 0.684336i
\(185\) 815.103 1920.22i 0.323933 0.763121i
\(186\) −4504.79 5255.99i −1.77585 2.07198i
\(187\) 481.482 + 433.528i 0.188286 + 0.169533i
\(188\) −1771.18 + 575.491i −0.687109 + 0.223255i
\(189\) 3024.66 414.189i 1.16408 0.159406i
\(190\) −7920.37 + 972.437i −3.02423 + 0.371305i
\(191\) −1277.66 + 1418.98i −0.484022 + 0.537561i −0.934847 0.355052i \(-0.884463\pi\)
0.450825 + 0.892612i \(0.351130\pi\)
\(192\) 5631.44 453.010i 2.11674 0.170277i
\(193\) −2434.08 1405.32i −0.907818 0.524129i −0.0280898 0.999605i \(-0.508942\pi\)
−0.879729 + 0.475476i \(0.842276\pi\)
\(194\) −207.707 1976.20i −0.0768685 0.731355i
\(195\) −583.940 + 995.250i −0.214445 + 0.365494i
\(196\) −279.564 + 2659.87i −0.101882 + 0.969342i
\(197\) −1986.94 + 2734.79i −0.718597 + 0.989064i 0.280972 + 0.959716i \(0.409343\pi\)
−0.999569 + 0.0293481i \(0.990657\pi\)
\(198\) 1626.38 + 617.859i 0.583746 + 0.221764i
\(199\) −1080.04 −0.384732 −0.192366 0.981323i \(-0.561616\pi\)
−0.192366 + 0.981323i \(0.561616\pi\)
\(200\) 5996.27 5790.35i 2.12000 2.04720i
\(201\) −786.818 1443.18i −0.276109 0.506437i
\(202\) −5917.15 + 5327.82i −2.06103 + 1.85576i
\(203\) −450.591 1012.04i −0.155789 0.349909i
\(204\) −736.169 + 5667.53i −0.252658 + 1.94513i
\(205\) −3510.84 + 2645.56i −1.19613 + 0.901337i
\(206\) 7174.22 5212.38i 2.42646 1.76293i
\(207\) −162.584 + 3322.24i −0.0545911 + 1.11552i
\(208\) 2241.76 + 3085.51i 0.747298 + 1.02857i
\(209\) −1080.06 + 1199.52i −0.357460 + 0.396999i
\(210\) −2701.38 6183.60i −0.887681 2.03195i
\(211\) −2743.40 3046.86i −0.895089 0.994097i 0.104911 0.994482i \(-0.466544\pi\)
−1.00000 0.000384799i \(0.999878\pi\)
\(212\) −1788.44 + 8413.94i −0.579389 + 2.72581i
\(213\) 305.069 1280.46i 0.0981360 0.411905i
\(214\) 4900.73 1041.68i 1.56545 0.332747i
\(215\) 1096.20 5639.22i 0.347722 1.78880i
\(216\) 2231.24 + 9085.73i 0.702855 + 2.86206i
\(217\) 3192.17 + 4393.64i 0.998610 + 1.37447i
\(218\) −2514.62 + 1451.82i −0.781247 + 0.451053i
\(219\) −203.106 2524.84i −0.0626695 0.779054i
\(220\) 241.077 2755.28i 0.0738793 0.844369i
\(221\) −973.885 + 433.601i −0.296428 + 0.131978i
\(222\) 3143.31 4111.15i 0.950294 1.24289i
\(223\) −297.672 1400.44i −0.0893884 0.420539i −0.999974 0.00721858i \(-0.997702\pi\)
0.910586 0.413321i \(-0.135631\pi\)
\(224\) −10694.5 −3.18997
\(225\) 2702.38 + 2021.83i 0.800704 + 0.599060i
\(226\) 9909.60 2.91671
\(227\) 907.313 + 4268.57i 0.265288 + 1.24808i 0.885867 + 0.463939i \(0.153564\pi\)
−0.620579 + 0.784144i \(0.713102\pi\)
\(228\) −14119.6 1834.03i −4.10129 0.532727i
\(229\) −4157.94 + 1851.23i −1.19984 + 0.534205i −0.906665 0.421852i \(-0.861380\pi\)
−0.293180 + 0.956057i \(0.594714\pi\)
\(230\) 7163.65 1653.80i 2.05373 0.474124i
\(231\) −1232.98 585.486i −0.351187 0.166762i
\(232\) 2940.12 1697.48i 0.832019 0.480366i
\(233\) 2940.54 + 4047.30i 0.826786 + 1.13797i 0.988513 + 0.151137i \(0.0482936\pi\)
−0.161727 + 0.986836i \(0.551706\pi\)
\(234\) −2017.18 + 2031.19i −0.563534 + 0.567448i
\(235\) −743.086 + 692.928i −0.206270 + 0.192347i
\(236\) 4092.35 869.855i 1.12877 0.239927i
\(237\) 2901.73 864.998i 0.795308 0.237079i
\(238\) 1296.15 6097.88i 0.353011 1.66079i
\(239\) 2530.63 + 2810.55i 0.684908 + 0.760667i 0.980898 0.194524i \(-0.0623162\pi\)
−0.295990 + 0.955191i \(0.595649\pi\)
\(240\) 9699.38 5509.73i 2.60872 1.48188i
\(241\) 3646.39 4049.72i 0.974625 1.08243i −0.0219523 0.999759i \(-0.506988\pi\)
0.996577 0.0826713i \(-0.0263452\pi\)
\(242\) 3718.83 + 5118.53i 0.987833 + 1.35964i
\(243\) −3486.98 + 1479.83i −0.920534 + 0.390663i
\(244\) −13682.2 + 9940.73i −3.58982 + 2.60816i
\(245\) 475.041 + 1379.65i 0.123875 + 0.359767i
\(246\) −10068.3 + 4190.87i −2.60949 + 1.08618i
\(247\) −1080.24 2426.26i −0.278275 0.625016i
\(248\) −12368.2 + 11136.4i −3.16686 + 2.85145i
\(249\) −3929.77 96.1000i −1.00016 0.0244582i
\(250\) 2673.55 6964.36i 0.676361 1.76186i
\(251\) −3936.42 −0.989898 −0.494949 0.868922i \(-0.664813\pi\)
−0.494949 + 0.868922i \(0.664813\pi\)
\(252\) −1924.64 11885.3i −0.481114 2.97105i
\(253\) 874.118 1203.12i 0.217215 0.298970i
\(254\) −107.570 + 1023.46i −0.0265729 + 0.252825i
\(255\) 942.728 + 2972.09i 0.231513 + 0.729880i
\(256\) −135.281 1287.11i −0.0330275 0.314236i
\(257\) 579.615 + 334.641i 0.140683 + 0.0812231i 0.568689 0.822552i \(-0.307451\pi\)
−0.428007 + 0.903776i \(0.640784\pi\)
\(258\) 6113.27 12874.0i 1.47518 3.10659i
\(259\) −2716.73 + 3017.24i −0.651774 + 0.723869i
\(260\) 3980.25 + 2206.33i 0.949403 + 0.526272i
\(261\) 868.739 + 1065.24i 0.206029 + 0.252632i
\(262\) 12733.8 4137.46i 3.00266 0.975622i
\(263\) 412.054 + 371.015i 0.0966097 + 0.0869878i 0.716020 0.698079i \(-0.245962\pi\)
−0.619411 + 0.785067i \(0.712628\pi\)
\(264\) 1389.45 3945.38i 0.323920 0.919777i
\(265\) 1055.65 + 4572.69i 0.244710 + 1.05999i
\(266\) 15191.8 + 3229.11i 3.50176 + 0.744321i
\(267\) 3224.58 259.396i 0.739106 0.0594560i
\(268\) −5614.12 + 3241.31i −1.27962 + 0.738786i
\(269\) 3006.77 2184.55i 0.681510 0.495146i −0.192348 0.981327i \(-0.561610\pi\)
0.873858 + 0.486181i \(0.161610\pi\)
\(270\) 5246.06 + 6525.49i 1.18246 + 1.47085i
\(271\) −1008.92 733.021i −0.226153 0.164309i 0.468939 0.883230i \(-0.344636\pi\)
−0.695092 + 0.718921i \(0.744636\pi\)
\(272\) 10249.2 + 1077.24i 2.28474 + 0.240136i
\(273\) 1705.24 1461.52i 0.378042 0.324012i
\(274\) 4242.56 7348.33i 0.935410 1.62018i
\(275\) −516.069 1417.96i −0.113164 0.310931i
\(276\) 13114.2 + 320.699i 2.86008 + 0.0699414i
\(277\) 58.2352 + 273.975i 0.0126318 + 0.0594280i 0.984012 0.178102i \(-0.0569956\pi\)
−0.971380 + 0.237530i \(0.923662\pi\)
\(278\) 3009.39 4142.08i 0.649250 0.893616i
\(279\) −5251.48 4222.55i −1.12687 0.906084i
\(280\) −14703.7 + 6856.32i −3.13827 + 1.46337i
\(281\) −4749.90 2114.79i −1.00838 0.448961i −0.165011 0.986292i \(-0.552766\pi\)
−0.843371 + 0.537331i \(0.819433\pi\)
\(282\) −2213.06 + 1206.56i −0.467325 + 0.254785i
\(283\) 4636.62 487.328i 0.973917 0.102363i 0.395817 0.918329i \(-0.370461\pi\)
0.578099 + 0.815966i \(0.303795\pi\)
\(284\) −5077.86 1079.33i −1.06097 0.225516i
\(285\) −7404.42 + 2348.64i −1.53895 + 0.488145i
\(286\) 1251.91 266.101i 0.258835 0.0550171i
\(287\) 8137.21 2643.94i 1.67360 0.543787i
\(288\) 12805.5 3478.77i 2.62004 0.711766i
\(289\) 628.044 1932.92i 0.127833 0.393430i
\(290\) 1742.70 2488.80i 0.352879 0.503956i
\(291\) −552.588 1853.72i −0.111317 0.373426i
\(292\) −9935.04 + 1044.22i −1.99111 + 0.209274i
\(293\) −6231.58 3597.80i −1.24250 0.717358i −0.272898 0.962043i \(-0.587982\pi\)
−0.969603 + 0.244685i \(0.921316\pi\)
\(294\) 290.257 + 3608.22i 0.0575786 + 0.715768i
\(295\) 1822.94 1373.66i 0.359781 0.271110i
\(296\) −10066.1 7313.42i −1.97661 1.43609i
\(297\) 1666.82 + 299.985i 0.325652 + 0.0586090i
\(298\) −4374.39 1421.33i −0.850341 0.276293i
\(299\) 1223.47 + 2119.11i 0.236638 + 0.409870i
\(300\) 7710.86 10849.5i 1.48396 2.08799i
\(301\) −5590.53 + 9683.08i −1.07054 + 1.85423i
\(302\) 655.583 590.289i 0.124916 0.112475i
\(303\) −4707.81 + 6157.37i −0.892595 + 1.16743i
\(304\) −2683.74 + 25534.1i −0.506326 + 4.81737i
\(305\) −4473.31 + 8069.92i −0.839807 + 1.51502i
\(306\) 431.563 + 7723.19i 0.0806236 + 1.44283i
\(307\) 2050.26i 0.381155i −0.981672 0.190578i \(-0.938964\pi\)
0.981672 0.190578i \(-0.0610361\pi\)
\(308\) −2189.50 + 4917.70i −0.405060 + 0.909779i
\(309\) 5931.30 6271.99i 1.09197 1.15470i
\(310\) −5819.84 + 13710.4i −1.06627 + 2.51193i
\(311\) −2139.16 2375.78i −0.390034 0.433177i 0.515865 0.856670i \(-0.327471\pi\)
−0.905899 + 0.423493i \(0.860804\pi\)
\(312\) 5000.59 + 4728.97i 0.907381 + 0.858093i
\(313\) −5267.04 4742.46i −0.951152 0.856421i 0.0385947 0.999255i \(-0.487712\pi\)
−0.989747 + 0.142834i \(0.954379\pi\)
\(314\) 1267.60 3901.26i 0.227817 0.701150i
\(315\) −3691.99 5433.03i −0.660381 0.971799i
\(316\) −3690.18 11357.2i −0.656926 2.02181i
\(317\) 1284.50 2885.04i 0.227587 0.511168i −0.763271 0.646078i \(-0.776408\pi\)
0.990858 + 0.134910i \(0.0430746\pi\)
\(318\) −284.622 + 11638.9i −0.0501912 + 2.05244i
\(319\) −64.2397 611.199i −0.0112750 0.107275i
\(320\) −6260.76 10419.8i −1.09371 1.82027i
\(321\) 4502.70 1874.21i 0.782917 0.325883i
\(322\) −14230.9 1495.73i −2.46292 0.258863i
\(323\) −6825.27 2217.66i −1.17575 0.382025i
\(324\) 6170.68 + 13605.3i 1.05807 + 2.33288i
\(325\) 2476.77 + 173.231i 0.422728 + 0.0295666i
\(326\) 1051.83 + 1821.82i 0.178698 + 0.309514i
\(327\) −2146.14 + 1839.41i −0.362942 + 0.311069i
\(328\) 10664.7 + 23953.3i 1.79530 + 4.03231i
\(329\) 1806.54 804.324i 0.302729 0.134784i
\(330\) −365.210 3725.57i −0.0609217 0.621472i
\(331\) −4273.14 1902.52i −0.709586 0.315928i 0.0200165 0.999800i \(-0.493628\pi\)
−0.729602 + 0.683872i \(0.760295\pi\)
\(332\) 15503.1i 2.56278i
\(333\) 2271.53 4496.54i 0.373812 0.739967i
\(334\) −883.464 2719.02i −0.144733 0.445444i
\(335\) −2028.61 + 2897.11i −0.330851 + 0.472496i
\(336\) −21340.6 + 3993.46i −3.46496 + 0.648396i
\(337\) −2313.54 + 10884.3i −0.373965 + 1.75937i 0.240718 + 0.970595i \(0.422617\pi\)
−0.614684 + 0.788774i \(0.710716\pi\)
\(338\) 2000.40 9411.15i 0.321916 1.51449i
\(339\) 9481.91 1774.35i 1.51914 0.284275i
\(340\) 11627.1 4003.43i 1.85461 0.638578i
\(341\) 930.998 + 2865.32i 0.147849 + 0.455031i
\(342\) −19240.9 + 1075.16i −3.04220 + 0.169994i
\(343\) 4623.84i 0.727883i
\(344\) −31302.5 13936.8i −4.90615 2.18436i
\(345\) 6558.36 2865.10i 1.02345 0.447107i
\(346\) −894.245 + 398.144i −0.138945 + 0.0618622i
\(347\) −975.728 2191.52i −0.150951 0.339040i 0.822204 0.569193i \(-0.192744\pi\)
−0.973155 + 0.230152i \(0.926078\pi\)
\(348\) 4116.15 3527.86i 0.634048 0.543429i
\(349\) 4416.05 + 7648.82i 0.677322 + 1.17316i 0.975784 + 0.218735i \(0.0701931\pi\)
−0.298462 + 0.954422i \(0.596474\pi\)
\(350\) −9332.93 + 11122.2i −1.42533 + 1.69859i
\(351\) −1566.43 + 2304.71i −0.238204 + 0.350473i
\(352\) −5642.42 1833.33i −0.854381 0.277605i
\(353\) 6151.77 + 646.577i 0.927551 + 0.0974896i 0.556243 0.831020i \(-0.312243\pi\)
0.371309 + 0.928510i \(0.378909\pi\)
\(354\) 5227.79 2176.03i 0.784898 0.326708i
\(355\) −2759.64 + 637.091i −0.412582 + 0.0952487i
\(356\) −1333.61 12688.5i −0.198543 1.88901i
\(357\) 148.359 6066.79i 0.0219944 0.899407i
\(358\) 1878.88 4220.04i 0.277380 0.623006i
\(359\) −3705.07 11403.0i −0.544697 1.67641i −0.721708 0.692197i \(-0.756643\pi\)
0.177011 0.984209i \(-0.443357\pi\)
\(360\) 15375.9 12992.6i 2.25106 1.90215i
\(361\) 3405.36 10480.6i 0.496481 1.52801i
\(362\) 4031.67 + 3630.13i 0.585359 + 0.527059i
\(363\) 4474.82 + 4231.76i 0.647017 + 0.611872i
\(364\) −5926.71 6582.28i −0.853417 0.947816i
\(365\) −4671.70 + 2806.99i −0.669940 + 0.402534i
\(366\) −15727.7 + 16631.1i −2.24618 + 2.37520i
\(367\) −1478.88 + 3321.61i −0.210345 + 0.472443i −0.987649 0.156682i \(-0.949920\pi\)
0.777304 + 0.629125i \(0.216587\pi\)
\(368\) 23654.9i 3.35081i
\(369\) −8883.41 + 5812.77i −1.25326 + 0.820056i
\(370\) −10930.5 2124.76i −1.53581 0.298544i
\(371\) 954.753 9083.87i 0.133607 1.27119i
\(372\) −16141.8 + 21112.0i −2.24977 + 2.94249i
\(373\) 3413.20 3073.26i 0.473803 0.426615i −0.397319 0.917681i \(-0.630059\pi\)
0.871122 + 0.491066i \(0.163393\pi\)
\(374\) 1729.20 2995.06i 0.239077 0.414093i
\(375\) 1311.17 7142.49i 0.180557 0.983565i
\(376\) 3030.08 + 5248.25i 0.415596 + 0.719834i
\(377\) 961.714 + 312.480i 0.131381 + 0.0426884i
\(378\) −5519.36 15332.7i −0.751019 2.08633i
\(379\) 8247.01 + 5991.80i 1.11773 + 0.812080i 0.983864 0.178919i \(-0.0572602\pi\)
0.133868 + 0.990999i \(0.457260\pi\)
\(380\) 9973.81 + 28966.8i 1.34644 + 3.91043i
\(381\) 80.3262 + 998.547i 0.0108012 + 0.134271i
\(382\) 8826.79 + 5096.15i 1.18225 + 0.682570i
\(383\) 4752.18 499.474i 0.634008 0.0666369i 0.217928 0.975965i \(-0.430070\pi\)
0.416080 + 0.909328i \(0.363404\pi\)
\(384\) −2778.77 9321.72i −0.369281 1.23879i
\(385\) 51.2327 + 2936.42i 0.00678197 + 0.388711i
\(386\) −4636.12 + 14268.5i −0.611327 + 1.88147i
\(387\) 3544.29 13413.0i 0.465547 1.76181i
\(388\) −7255.34 + 2357.40i −0.949314 + 0.308451i
\(389\) 13106.7 2785.92i 1.70832 0.363115i 0.752849 0.658194i \(-0.228679\pi\)
0.955473 + 0.295079i \(0.0953458\pi\)
\(390\) 5844.49 + 1944.35i 0.758839 + 0.252451i
\(391\) 6467.45 + 1374.70i 0.836504 + 0.177804i
\(392\) 8655.43 909.722i 1.11522 0.117214i
\(393\) 11443.4 6238.92i 1.46881 0.800793i
\(394\) 16484.1 + 7339.18i 2.10775 + 0.938433i
\(395\) −4443.21 4764.83i −0.565980 0.606949i
\(396\) 1022.03 6600.64i 0.129695 0.837613i
\(397\) −1725.35 + 2374.74i −0.218118 + 0.300214i −0.904029 0.427472i \(-0.859404\pi\)
0.685910 + 0.727686i \(0.259404\pi\)
\(398\) 1198.63 + 5639.11i 0.150960 + 0.710209i
\(399\) 15114.3 + 369.610i 1.89639 + 0.0463751i
\(400\) −19898.2 13422.0i −2.48728 1.67775i
\(401\) 1593.88 2760.68i 0.198490 0.343795i −0.749549 0.661949i \(-0.769730\pi\)
0.948039 + 0.318154i \(0.103063\pi\)
\(402\) −6661.94 + 5709.80i −0.826536 + 0.708406i
\(403\) −4930.05 518.170i −0.609388 0.0640493i
\(404\) 24730.4 + 17967.7i 3.04550 + 2.21269i
\(405\) 6188.06 + 5304.53i 0.759228 + 0.650825i
\(406\) −4784.04 + 3475.81i −0.584797 + 0.424880i
\(407\) −1950.59 + 1126.17i −0.237561 + 0.137156i
\(408\) 18537.6 1491.22i 2.24938 0.180947i
\(409\) 8359.23 + 1776.81i 1.01060 + 0.214811i 0.683323 0.730116i \(-0.260534\pi\)
0.327282 + 0.944927i \(0.393867\pi\)
\(410\) 17709.4 + 15394.8i 2.13319 + 1.85438i
\(411\) 2743.71 7790.83i 0.329288 0.935020i
\(412\) −25300.3 22780.5i −3.02538 2.72406i
\(413\) −4225.09 + 1372.82i −0.503397 + 0.163564i
\(414\) 17526.6 2838.16i 2.08064 0.336927i
\(415\) 3574.47 + 7665.62i 0.422804 + 0.906724i
\(416\) 6531.92 7254.43i 0.769841 0.854995i
\(417\) 2137.86 4502.15i 0.251059 0.528708i
\(418\) 7461.64 + 4307.98i 0.873112 + 0.504092i
\(419\) −1087.98 10351.5i −0.126853 1.20693i −0.853936 0.520377i \(-0.825791\pi\)
0.727083 0.686549i \(-0.240875\pi\)
\(420\) −21064.7 + 15080.1i −2.44727 + 1.75199i
\(421\) 6.48509 61.7015i 0.000750745 0.00714287i −0.994140 0.108099i \(-0.965524\pi\)
0.994891 + 0.100956i \(0.0321902\pi\)
\(422\) −12863.7 + 17705.4i −1.48387 + 2.04238i
\(423\) −1901.51 + 1550.74i −0.218569 + 0.178249i
\(424\) 27991.3 3.20607
\(425\) 4826.06 4660.33i 0.550819 0.531904i
\(426\) −7024.14 171.771i −0.798875 0.0195360i
\(427\) 13345.5 12016.3i 1.51249 1.36185i
\(428\) −7823.55 17572.0i −0.883565 1.98452i
\(429\) 1150.23 478.775i 0.129449 0.0538822i
\(430\) −30660.2 + 534.939i −3.43853 + 0.0599931i
\(431\) 8696.62 6318.47i 0.971929 0.706148i 0.0160388 0.999871i \(-0.494894\pi\)
0.955890 + 0.293723i \(0.0948945\pi\)
\(432\) 24254.1 11723.6i 2.70122 1.30567i
\(433\) −10205.4 14046.5i −1.13265 1.55896i −0.782928 0.622112i \(-0.786275\pi\)
−0.349725 0.936852i \(-0.613725\pi\)
\(434\) 19397.5 21543.1i 2.14541 2.38272i
\(435\) 1221.86 2693.42i 0.134676 0.296873i
\(436\) 7459.12 + 8284.20i 0.819329 + 0.909957i
\(437\) −3424.81 + 16112.5i −0.374900 + 1.76376i
\(438\) −12957.4 + 3862.54i −1.41353 + 0.421369i
\(439\) −17569.0 + 3734.41i −1.91008 + 0.406000i −0.999965 0.00836092i \(-0.997339\pi\)
−0.910113 + 0.414361i \(0.864005\pi\)
\(440\) −8933.07 + 1096.77i −0.967881 + 0.118833i
\(441\) 923.794 + 3400.52i 0.0997510 + 0.367188i
\(442\) 3344.75 + 4603.66i 0.359940 + 0.495416i
\(443\) −428.377 + 247.323i −0.0459431 + 0.0265252i −0.522796 0.852458i \(-0.675111\pi\)
0.476853 + 0.878983i \(0.341778\pi\)
\(444\) −17947.4 8522.39i −1.91835 0.910934i
\(445\) −3584.93 5966.44i −0.381893 0.635587i
\(446\) −6981.64 + 3108.43i −0.741234 + 0.330019i
\(447\) −4440.09 576.734i −0.469819 0.0610259i
\(448\) 4919.05 + 23142.3i 0.518758 + 2.44056i
\(449\) −7465.20 −0.784643 −0.392322 0.919828i \(-0.628328\pi\)
−0.392322 + 0.919828i \(0.628328\pi\)
\(450\) 7557.30 16353.6i 0.791677 1.71314i
\(451\) 4746.45 0.495569
\(452\) −7909.87 37213.0i −0.823118 3.87246i
\(453\) 521.596 682.198i 0.0540987 0.0707559i
\(454\) 21280.2 9474.57i 2.19985 0.979435i
\(455\) −4448.15 1888.17i −0.458313 0.194547i
\(456\) 3715.11 + 46183.1i 0.381526 + 4.74281i
\(457\) 1447.89 835.937i 0.148204 0.0855656i −0.424064 0.905632i \(-0.639397\pi\)
0.572268 + 0.820066i \(0.306064\pi\)
\(458\) 14280.2 + 19655.0i 1.45692 + 2.00528i
\(459\) 1795.80 + 7312.60i 0.182616 + 0.743623i
\(460\) −11928.5 25581.3i −1.20906 2.59290i
\(461\) −1726.92 + 367.069i −0.174470 + 0.0370848i −0.294318 0.955707i \(-0.595093\pi\)
0.119848 + 0.992792i \(0.461759\pi\)
\(462\) −1688.58 + 7087.45i −0.170043 + 0.713719i
\(463\) −217.335 + 1022.48i −0.0218151 + 0.102632i −0.987708 0.156309i \(-0.950040\pi\)
0.965893 + 0.258941i \(0.0833737\pi\)
\(464\) −6541.08 7264.61i −0.654444 0.726834i
\(465\) −3113.77 + 14160.7i −0.310533 + 1.41223i
\(466\) 17868.5 19844.9i 1.77627 1.97274i
\(467\) −1849.64 2545.81i −0.183279 0.252262i 0.707485 0.706729i \(-0.249830\pi\)
−0.890764 + 0.454467i \(0.849830\pi\)
\(468\) 9237.74 + 5953.70i 0.912424 + 0.588056i
\(469\) 5568.91 4046.05i 0.548291 0.398357i
\(470\) 4442.61 + 3110.80i 0.436005 + 0.305299i
\(471\) 514.356 3959.86i 0.0503190 0.387390i
\(472\) −5537.44 12437.3i −0.540002 1.21287i
\(473\) −4609.52 + 4150.43i −0.448089 + 0.403461i
\(474\) −7736.71 14190.6i −0.749702 1.37510i
\(475\) 11610.4 + 12023.3i 1.12152 + 1.16140i
\(476\) −23933.7 −2.30462
\(477\) 1811.65 + 11187.5i 0.173898 + 1.07388i
\(478\) 11866.0 16332.2i 1.13544 1.56279i
\(479\) −750.877 + 7144.12i −0.0716252 + 0.681468i 0.898518 + 0.438936i \(0.144645\pi\)
−0.970143 + 0.242532i \(0.922022\pi\)
\(480\) −18955.7 21351.3i −1.80251 2.03031i
\(481\) −387.384 3685.71i −0.0367218 0.349384i
\(482\) −25191.3 14544.2i −2.38057 1.37442i
\(483\) −13884.6 + 1116.92i −1.30801 + 0.105221i
\(484\) 16253.0 18050.8i 1.52639 1.69523i
\(485\) −3043.93 + 2838.46i −0.284985 + 0.265748i
\(486\) 11596.4 + 16564.0i 1.08235 + 1.54600i
\(487\) 9933.37 3227.55i 0.924279 0.300316i 0.192058 0.981384i \(-0.438484\pi\)
0.732221 + 0.681067i \(0.238484\pi\)
\(488\) 40897.9 + 36824.6i 3.79377 + 3.41593i
\(489\) 1332.64 + 1554.86i 0.123239 + 0.143790i
\(490\) 6676.28 4011.44i 0.615518 0.369834i
\(491\) 5355.51 + 1138.35i 0.492242 + 0.104629i 0.447343 0.894362i \(-0.352370\pi\)
0.0448986 + 0.998992i \(0.485704\pi\)
\(492\) 23774.4 + 34464.0i 2.17852 + 3.15804i
\(493\) 2366.34 1366.21i 0.216175 0.124809i
\(494\) −11469.2 + 8332.85i −1.04458 + 0.758932i
\(495\) −1016.52 3499.39i −0.0923017 0.317749i
\(496\) 38769.9 + 28168.0i 3.50972 + 2.54996i
\(497\) 5482.16 + 576.199i 0.494786 + 0.0520041i
\(498\) 3859.52 + 20624.9i 0.347288 + 1.85587i
\(499\) −8240.26 + 14272.5i −0.739247 + 1.28041i 0.213587 + 0.976924i \(0.431485\pi\)
−0.952835 + 0.303490i \(0.901848\pi\)
\(500\) −28287.0 4480.89i −2.53006 0.400783i
\(501\) −1332.18 2443.48i −0.118798 0.217898i
\(502\) 4368.66 + 20552.9i 0.388412 + 1.82733i
\(503\) −4890.10 + 6730.64i −0.433477 + 0.596629i −0.968747 0.248052i \(-0.920210\pi\)
0.535270 + 0.844681i \(0.320210\pi\)
\(504\) −36528.4 + 14167.2i −3.22838 + 1.25210i
\(505\) 16370.9 + 3182.31i 1.44256 + 0.280417i
\(506\) −7251.86 3228.74i −0.637124 0.283666i
\(507\) 228.970 9363.15i 0.0200570 0.820182i
\(508\) 3929.20 412.976i 0.343170 0.0360686i
\(509\) −3478.20 739.313i −0.302885 0.0643801i 0.0539623 0.998543i \(-0.482815\pi\)
−0.356847 + 0.934163i \(0.616148\pi\)
\(510\) 14471.7 8220.64i 1.25651 0.713757i
\(511\) 10375.8 2205.44i 0.898236 0.190926i
\(512\) 7672.69 2493.01i 0.662282 0.215188i
\(513\) −18218.0 + 4473.91i −1.56792 + 0.385045i
\(514\) 1103.98 3397.69i 0.0947360 0.291567i
\(515\) −17762.3 5430.63i −1.51981 0.464664i
\(516\) −53224.8 12680.8i −4.54088 1.08186i
\(517\) 1091.02 114.671i 0.0928103 0.00975476i
\(518\) 18768.7 + 10836.1i 1.59199 + 0.919135i
\(519\) −784.362 + 541.078i −0.0663385 + 0.0457624i
\(520\) 4329.79 14161.7i 0.365142 1.19429i
\(521\) −10784.6 7835.47i −0.906875 0.658883i 0.0333476 0.999444i \(-0.489383\pi\)
−0.940223 + 0.340561i \(0.889383\pi\)
\(522\) 4597.75 5718.10i 0.385513 0.479453i
\(523\) 9629.54 + 3128.83i 0.805105 + 0.261595i 0.682523 0.730864i \(-0.260883\pi\)
0.122582 + 0.992458i \(0.460883\pi\)
\(524\) −25701.4 44516.1i −2.14269 3.71125i
\(525\) −6938.67 + 12313.3i −0.576816 + 1.02361i
\(526\) 1479.85 2563.18i 0.122671 0.212472i
\(527\) −9954.46 + 8963.04i −0.822814 + 0.740865i
\(528\) −11943.9 1551.43i −0.984457 0.127874i
\(529\) 314.586 2993.08i 0.0258557 0.246000i
\(530\) 22703.5 10586.6i 1.86071 0.867646i
\(531\) 4612.54 3018.17i 0.376963 0.246662i
\(532\) 59626.4i 4.85927i
\(533\) −3176.53 + 7134.61i −0.258144 + 0.579801i
\(534\) −4933.03 16548.4i −0.399762 1.34105i
\(535\) −7919.90 6884.77i −0.640014 0.556364i
\(536\) 14115.3 + 15676.6i 1.13748 + 1.26330i
\(537\) 1042.18 4374.33i 0.0837494 0.351520i
\(538\) −14743.0 13274.6i −1.18144 1.06377i
\(539\) 486.845 1498.36i 0.0389052 0.119738i
\(540\) 20317.4 24909.0i 1.61912 1.98502i
\(541\) −131.468 404.617i −0.0104478 0.0321550i 0.945697 0.325050i \(-0.105381\pi\)
−0.956145 + 0.292895i \(0.905381\pi\)
\(542\) −2707.57 + 6081.30i −0.214576 + 0.481945i
\(543\) 4507.65 + 2751.58i 0.356247 + 0.217461i
\(544\) −2757.22 26233.2i −0.217307 2.06753i
\(545\) 5598.27 + 2376.38i 0.440006 + 0.186776i
\(546\) −9523.40 7281.42i −0.746454 0.570725i
\(547\) −6488.40 681.958i −0.507174 0.0533061i −0.152513 0.988301i \(-0.548737\pi\)
−0.354660 + 0.934995i \(0.615403\pi\)
\(548\) −30981.3 10066.4i −2.41506 0.784701i
\(549\) −12071.1 + 18729.4i −0.938399 + 1.45602i
\(550\) −6830.73 + 4268.17i −0.529570 + 0.330901i
\(551\) 3403.65 + 5895.30i 0.263159 + 0.455805i
\(552\) −7851.77 41959.0i −0.605423 3.23532i
\(553\) 5157.51 + 11584.0i 0.396600 + 0.890778i
\(554\) 1365.86 608.118i 0.104747 0.0466362i
\(555\) −10839.2 75.9182i −0.829007 0.00580639i
\(556\) −17956.6 7994.81i −1.36966 0.609812i
\(557\) 4085.90i 0.310817i 0.987850 + 0.155408i \(0.0496693\pi\)
−0.987850 + 0.155408i \(0.950331\pi\)
\(558\) −16218.8 + 32105.4i −1.23046 + 2.43571i
\(559\) −3153.81 9706.44i −0.238626 0.734416i
\(560\) 28113.4 + 37308.3i 2.12144 + 2.81529i
\(561\) 1118.29 3175.41i 0.0841611 0.238977i
\(562\) −5770.34 + 27147.3i −0.433109 + 2.03762i
\(563\) 1924.21 9052.68i 0.144042 0.677664i −0.845566 0.533871i \(-0.820737\pi\)
0.989608 0.143793i \(-0.0459300\pi\)
\(564\) 6297.39 + 7347.52i 0.470156 + 0.548557i
\(565\) −12491.1 16576.5i −0.930098 1.23430i
\(566\) −7690.20 23668.0i −0.571101 1.75767i
\(567\) −8026.53 13682.7i −0.594502 1.01344i
\(568\) 16892.9i 1.24790i
\(569\) 11070.1 + 4928.71i 0.815609 + 0.363133i 0.771767 0.635906i \(-0.219373\pi\)
0.0438426 + 0.999038i \(0.486040\pi\)
\(570\) 20480.2 + 36053.6i 1.50495 + 2.64933i
\(571\) −3365.92 + 1498.61i −0.246689 + 0.109833i −0.526357 0.850264i \(-0.676442\pi\)
0.279668 + 0.960097i \(0.409776\pi\)
\(572\) −1998.55 4488.83i −0.146090 0.328124i
\(573\) 9358.32 + 3295.74i 0.682285 + 0.240282i
\(574\) −22835.3 39551.9i −1.66050 2.87607i
\(575\) −11796.3 9898.57i −0.855546 0.717911i
\(576\) −13417.9 26110.4i −0.970627 1.88877i
\(577\) 8777.61 + 2852.02i 0.633305 + 0.205773i 0.608038 0.793908i \(-0.291957\pi\)
0.0252662 + 0.999681i \(0.491957\pi\)
\(578\) −10789.2 1133.99i −0.776423 0.0816053i
\(579\) −1881.21 + 14482.8i −0.135027 + 1.03953i
\(580\) −10737.1 4557.72i −0.768678 0.326292i
\(581\) −1720.74 16371.7i −0.122871 1.16904i
\(582\) −9065.42 + 4942.45i −0.645660 + 0.352013i
\(583\) 2060.96 4628.99i 0.146409 0.328839i
\(584\) 10045.4 + 30916.4i 0.711780 + 2.19063i
\(585\) 5940.39 + 813.959i 0.419837 + 0.0575266i
\(586\) −11869.1 + 36529.4i −0.836703 + 2.57511i
\(587\) −17716.4 15951.9i −1.24571 1.12164i −0.987841 0.155465i \(-0.950313\pi\)
−0.257870 0.966179i \(-0.583021\pi\)
\(588\) 13318.1 3970.08i 0.934063 0.278441i
\(589\) −22329.8 24799.7i −1.56211 1.73490i
\(590\) −9195.28 7993.46i −0.641634 0.557772i
\(591\) 17086.7 + 4070.90i 1.18926 + 0.283341i
\(592\) −14572.0 + 32729.3i −1.01166 + 2.27224i
\(593\) 12325.4i 0.853533i −0.904362 0.426766i \(-0.859653\pi\)
0.904362 0.426766i \(-0.140347\pi\)
\(594\) −283.557 9035.76i −0.0195866 0.624144i
\(595\) −11834.2 + 5518.27i −0.815386 + 0.380213i
\(596\) −1845.78 + 17561.4i −0.126856 + 1.20695i
\(597\) 2156.60 + 5181.12i 0.147846 + 0.355191i
\(598\) 9706.52 8739.79i 0.663761 0.597653i
\(599\) −3278.19 + 5677.99i −0.223611 + 0.387306i −0.955902 0.293686i \(-0.905118\pi\)
0.732291 + 0.680992i \(0.238451\pi\)
\(600\) −39750.5 17203.0i −2.70468 1.17052i
\(601\) −9081.44 15729.5i −0.616372 1.06759i −0.990142 0.140067i \(-0.955268\pi\)
0.373770 0.927521i \(-0.378065\pi\)
\(602\) 56761.9 + 18443.1i 3.84293 + 1.24864i
\(603\) −5352.06 + 6656.22i −0.361447 + 0.449523i
\(604\) −2739.97 1990.71i −0.184583 0.134107i
\(605\) 3874.55 12672.7i 0.260368 0.851603i
\(606\) 37373.7 + 17747.0i 2.50529 + 1.18964i
\(607\) 24528.6 + 14161.6i 1.64017 + 0.946955i 0.980770 + 0.195165i \(0.0625242\pi\)
0.659403 + 0.751790i \(0.270809\pi\)
\(608\) 65355.2 6869.11i 4.35938 0.458190i
\(609\) −3955.21 + 4182.39i −0.263174 + 0.278291i
\(610\) 47099.4 + 14400.1i 3.12623 + 0.955810i
\(611\) −557.790 + 1716.70i −0.0369325 + 0.113667i
\(612\) 28658.1 7785.31i 1.89287 0.514220i
\(613\) 6758.23 2195.88i 0.445289 0.144683i −0.0777853 0.996970i \(-0.524785\pi\)
0.523075 + 0.852287i \(0.324785\pi\)
\(614\) −10704.9 + 2275.39i −0.703606 + 0.149556i
\(615\) 19701.6 + 11559.5i 1.29178 + 0.757923i
\(616\) 17134.2 + 3641.99i 1.12071 + 0.238214i
\(617\) 4943.18 519.549i 0.322536 0.0338999i 0.0581231 0.998309i \(-0.481488\pi\)
0.264413 + 0.964409i \(0.414822\pi\)
\(618\) −39330.0 24008.0i −2.56001 1.56269i
\(619\) −19279.5 8583.78i −1.25187 0.557369i −0.329675 0.944094i \(-0.606939\pi\)
−0.922195 + 0.386726i \(0.873606\pi\)
\(620\) 56131.4 + 10911.3i 3.63595 + 0.706787i
\(621\) 16262.0 5853.86i 1.05084 0.378273i
\(622\) −10030.4 + 13805.7i −0.646597 + 0.889964i
\(623\) 2816.67 + 13251.4i 0.181136 + 0.852176i
\(624\) 10325.4 16915.2i 0.662417 1.08518i
\(625\) −15019.8 + 4306.37i −0.961270 + 0.275608i
\(626\) −18916.1 + 32763.6i −1.20773 + 2.09185i
\(627\) 7910.97 + 2786.02i 0.503881 + 0.177453i
\(628\) −15662.0 1646.15i −0.995196 0.104599i
\(629\) −8101.60 5886.16i −0.513565 0.373127i
\(630\) −24269.7 + 25306.3i −1.53481 + 1.60036i
\(631\) −5540.90 + 4025.70i −0.349571 + 0.253979i −0.748689 0.662921i \(-0.769316\pi\)
0.399118 + 0.916900i \(0.369316\pi\)
\(632\) −33652.9 + 19429.5i −2.11811 + 1.22289i
\(633\) −9138.31 + 19244.5i −0.573800 + 1.20837i
\(634\) −16489.0 3504.85i −1.03291 0.219551i
\(635\) 1847.61 1110.14i 0.115465 0.0693770i
\(636\) 43934.2 8221.39i 2.73916 0.512577i
\(637\) 1926.43 + 1734.56i 0.119824 + 0.107890i
\(638\) −3119.92 + 1013.72i −0.193603 + 0.0629054i
\(639\) −6751.75 + 1093.34i −0.417989 + 0.0676867i
\(640\) −15306.9 + 14273.7i −0.945401 + 0.881587i
\(641\) −9526.78 + 10580.6i −0.587028 + 0.651961i −0.961347 0.275339i \(-0.911210\pi\)
0.374319 + 0.927300i \(0.377877\pi\)
\(642\) −14782.8 21429.6i −0.908772 1.31738i
\(643\) 17053.5 + 9845.83i 1.04592 + 0.603859i 0.921503 0.388371i \(-0.126962\pi\)
0.124412 + 0.992231i \(0.460295\pi\)
\(644\) 5742.34 + 54634.7i 0.351366 + 3.34303i
\(645\) −29241.2 + 6001.66i −1.78507 + 0.366380i
\(646\) −4004.20 + 38097.4i −0.243875 + 2.32032i
\(647\) −10430.4 + 14356.2i −0.633788 + 0.872334i −0.998265 0.0588780i \(-0.981248\pi\)
0.364477 + 0.931212i \(0.381248\pi\)
\(648\) 39130.5 28845.9i 2.37221 1.74873i
\(649\) −2464.50 −0.149060
\(650\) −1844.25 13124.0i −0.111289 0.791949i
\(651\) 14703.0 24086.5i 0.885184 1.45012i
\(652\) 6001.83 5404.07i 0.360506 0.324601i
\(653\) 3636.99 + 8168.81i 0.217958 + 0.489541i 0.989122 0.147095i \(-0.0469922\pi\)
−0.771165 + 0.636636i \(0.780325\pi\)
\(654\) 11985.8 + 9164.11i 0.716638 + 0.547928i
\(655\) −22972.1 16085.5i −1.37037 0.959561i
\(656\) 61079.7 44377.0i 3.63531 2.64120i
\(657\) −11706.5 + 6015.90i −0.695152 + 0.357234i
\(658\) −6204.47 8539.72i −0.367592 0.505947i
\(659\) −2012.70 + 2235.33i −0.118974 + 0.132134i −0.799689 0.600414i \(-0.795002\pi\)
0.680715 + 0.732548i \(0.261669\pi\)
\(660\) −13698.9 + 4345.22i −0.807925 + 0.256269i
\(661\) 15016.3 + 16677.3i 0.883609 + 0.981348i 0.999930 0.0118642i \(-0.00377657\pi\)
−0.116320 + 0.993212i \(0.537110\pi\)
\(662\) −5191.15 + 24422.4i −0.304773 + 1.43385i
\(663\) 4024.70 + 3806.08i 0.235756 + 0.222950i
\(664\) 49345.7 10488.8i 2.88402 0.613016i
\(665\) −13747.8 29482.8i −0.801677 1.71924i
\(666\) −25998.4 6869.91i −1.51264 0.399705i
\(667\) −3686.46 5073.98i −0.214004 0.294551i
\(668\) −9505.43 + 5487.96i −0.550563 + 0.317868i
\(669\) −6123.75 + 4224.36i −0.353898 + 0.244130i
\(670\) 17377.9 + 7376.62i 1.00204 + 0.425349i
\(671\) 9101.05 4052.05i 0.523610 0.233126i
\(672\) 21354.6 + 51303.2i 1.22585 + 2.94504i
\(673\) 1842.28 + 8667.23i 0.105519 + 0.496429i 0.998890 + 0.0471086i \(0.0150007\pi\)
−0.893370 + 0.449321i \(0.851666\pi\)
\(674\) 59397.1 3.39450
\(675\) 4302.98 17000.9i 0.245366 0.969431i
\(676\) −36938.0 −2.10161
\(677\) 1435.33 + 6752.70i 0.0814834 + 0.383349i 0.999926 0.0122063i \(-0.00388547\pi\)
−0.918442 + 0.395555i \(0.870552\pi\)
\(678\) −19787.3 47538.0i −1.12084 2.69275i
\(679\) 7400.20 3294.78i 0.418253 0.186218i
\(680\) −20609.2 34300.1i −1.16225 1.93433i
\(681\) 18665.3 12876.0i 1.05031 0.724534i
\(682\) 13927.2 8040.90i 0.781968 0.451469i
\(683\) −8253.50 11360.0i −0.462389 0.636423i 0.512613 0.858620i \(-0.328677\pi\)
−0.975002 + 0.222196i \(0.928677\pi\)
\(684\) 19395.7 + 71396.4i 1.08423 + 3.99109i
\(685\) −17639.9 + 2165.77i −0.983921 + 0.120803i
\(686\) 24142.1 5131.57i 1.34366 0.285604i
\(687\) 17183.2 + 16249.8i 0.954265 + 0.902430i
\(688\) −20513.1 + 96506.6i −1.13671 + 5.34779i
\(689\) 5578.77 + 6195.85i 0.308467 + 0.342588i
\(690\) −22237.9 31063.0i −1.22693 1.71384i
\(691\) −11806.2 + 13112.1i −0.649970 + 0.721864i −0.974594 0.223979i \(-0.928095\pi\)
0.324624 + 0.945843i \(0.394762\pi\)
\(692\) 2208.92 + 3040.32i 0.121345 + 0.167017i
\(693\) −346.672 + 7083.92i −0.0190029 + 0.388306i
\(694\) −10359.6 + 7526.66i −0.566633 + 0.411683i
\(695\) −10722.1 + 187.073i −0.585200 + 0.0102102i
\(696\) −14013.9 10714.8i −0.763211 0.583537i
\(697\) 8583.41 + 19278.7i 0.466456 + 1.04768i
\(698\) 35035.2 31545.9i 1.89986 1.71064i
\(699\) 13544.0 22187.9i 0.732876 1.20060i
\(700\) 49216.3 + 26169.7i 2.65743 + 1.41303i
\(701\) −25212.3 −1.35843 −0.679213 0.733941i \(-0.737679\pi\)
−0.679213 + 0.733941i \(0.737679\pi\)
\(702\) 13771.8 + 5620.89i 0.740433 + 0.302204i
\(703\) 14664.3 20183.7i 0.786735 1.08285i
\(704\) −1371.95 + 13053.2i −0.0734477 + 0.698808i
\(705\) 4807.88 + 2181.08i 0.256844 + 0.116517i
\(706\) −3451.34 32837.3i −0.183984 1.75050i
\(707\) −28110.3 16229.5i −1.49533 0.863329i
\(708\) −12344.4 17894.8i −0.655269 0.949896i
\(709\) −4669.28 + 5185.76i −0.247332 + 0.274690i −0.854009 0.520259i \(-0.825836\pi\)
0.606677 + 0.794949i \(0.292502\pi\)
\(710\) 6389.06 + 13701.7i 0.337715 + 0.724246i
\(711\) −9943.68 12192.9i −0.524497 0.643136i
\(712\) −39484.7 + 12829.4i −2.07830 + 0.675282i
\(713\) 22848.7 + 20573.1i 1.20013 + 1.08060i
\(714\) −31840.7 + 5958.34i −1.66892 + 0.312304i
\(715\) −2023.17 1758.74i −0.105821 0.0919904i
\(716\) −17347.0 3687.23i −0.905432 0.192456i
\(717\) 8429.57 17751.9i 0.439063 0.924628i
\(718\) −55426.0 + 32000.2i −2.88089 + 1.66328i
\(719\) 11405.1 8286.33i 0.591572 0.429802i −0.251305 0.967908i \(-0.580860\pi\)
0.842877 + 0.538106i \(0.180860\pi\)
\(720\) −45798.7 35527.9i −2.37058 1.83895i
\(721\) 29246.3 + 21248.7i 1.51067 + 1.09756i
\(722\) −58501.0 6148.70i −3.01549 0.316940i
\(723\) −26708.3 9405.92i −1.37385 0.483831i
\(724\) 10414.0 18037.5i 0.534574 0.925910i
\(725\) −6359.89 + 221.994i −0.325794 + 0.0113719i
\(726\) 17128.8 28060.5i 0.875631 1.43447i
\(727\) −2939.84 13830.9i −0.149976 0.705582i −0.987299 0.158873i \(-0.949214\pi\)
0.837323 0.546709i \(-0.184119\pi\)
\(728\) −16941.4 + 23317.8i −0.862485 + 1.18711i
\(729\) 14061.7 + 13772.7i 0.714410 + 0.699727i
\(730\) 19840.6 + 21276.8i 1.00594 + 1.07875i
\(731\) −25193.6 11216.9i −1.27472 0.567541i
\(732\) 75007.9 + 45786.5i 3.78739 + 2.31191i
\(733\) −14947.1 + 1571.00i −0.753184 + 0.0791628i −0.473336 0.880882i \(-0.656950\pi\)
−0.279847 + 0.960045i \(0.590284\pi\)
\(734\) 18984.1 + 4035.20i 0.954655 + 0.202918i
\(735\) 5669.88 5033.73i 0.284540 0.252615i
\(736\) −59222.4 + 12588.1i −2.96599 + 0.630440i
\(737\) 3631.78 1180.04i 0.181517 0.0589785i
\(738\) 40208.6 + 39931.3i 2.00556 + 1.99172i
\(739\) 3996.22 12299.1i 0.198922 0.612219i −0.800986 0.598682i \(-0.795691\pi\)
0.999908 0.0135362i \(-0.00430884\pi\)
\(740\) 745.748 + 42742.8i 0.0370463 + 2.12332i
\(741\) −9482.16 + 10026.8i −0.470089 + 0.497090i
\(742\) −48488.5 + 5096.35i −2.39902 + 0.252147i
\(743\) 15928.1 + 9196.07i 0.786466 + 0.454066i 0.838717 0.544568i \(-0.183306\pi\)
−0.0522512 + 0.998634i \(0.516640\pi\)
\(744\) 78119.6 + 37095.4i 3.84947 + 1.82793i
\(745\) 3136.39 + 9108.97i 0.154240 + 0.447956i
\(746\) −19834.2 14410.4i −0.973432 0.707240i
\(747\) 7385.90 + 19043.7i 0.361762 + 0.932759i
\(748\) −12627.4 4102.91i −0.617253 0.200558i
\(749\) 10212.3 + 17688.2i 0.498195 + 0.862900i
\(750\) −38747.7 + 1080.85i −1.88649 + 0.0526225i
\(751\) −14702.6 + 25465.7i −0.714389 + 1.23736i 0.248806 + 0.968553i \(0.419962\pi\)
−0.963195 + 0.268804i \(0.913372\pi\)
\(752\) 12967.7 11676.1i 0.628832 0.566203i
\(753\) 7860.18 + 18883.7i 0.380400 + 0.913890i
\(754\) 564.212 5368.12i 0.0272512 0.259277i
\(755\) −1813.79 352.580i −0.0874312 0.0169956i
\(756\) −53172.8 + 32965.2i −2.55803 + 1.58589i
\(757\) 5449.06i 0.261624i −0.991407 0.130812i \(-0.958242\pi\)
0.991407 0.130812i \(-0.0417585\pi\)
\(758\) 22132.0 49709.2i 1.06051 2.38195i
\(759\) −7517.00 1790.92i −0.359486 0.0856473i
\(760\) 85452.4 51344.1i 4.07853 2.45059i
\(761\) 3475.22 + 3859.62i 0.165541 + 0.183852i 0.820208 0.572066i \(-0.193858\pi\)
−0.654667 + 0.755917i \(0.727191\pi\)
\(762\) 5124.49 1527.59i 0.243623 0.0726233i
\(763\) −8796.55 7920.45i −0.417374 0.375805i
\(764\) 12091.8 37214.6i 0.572597 1.76227i
\(765\) 12375.2 10457.1i 0.584871 0.494216i
\(766\) −7881.86 24257.9i −0.371780 1.14422i
\(767\) 1649.35 3704.51i 0.0776463 0.174396i
\(768\) −5904.36 + 3219.05i −0.277415 + 0.151246i
\(769\) −2080.76 19797.1i −0.0975735 0.928350i −0.928341 0.371730i \(-0.878765\pi\)
0.830767 0.556620i \(-0.187902\pi\)
\(770\) 15274.8 3526.35i 0.714893 0.165040i
\(771\) 447.963 3448.72i 0.0209248 0.161093i