Properties

Label 138.5.h.a.19.4
Level $138$
Weight $5$
Character 138.19
Analytic conductor $14.265$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 138.h (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(14.2650549056\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.4
Character \(\chi\) \(=\) 138.19
Dual form 138.5.h.a.109.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17497 - 2.57283i) q^{2} +(-4.98567 + 1.46393i) q^{3} +(-5.23889 + 6.04600i) q^{4} +(19.8768 - 30.9289i) q^{5} +(9.62445 + 11.1072i) q^{6} +(-20.0835 + 2.88758i) q^{7} +(21.7108 + 6.37488i) q^{8} +(22.7138 - 14.5973i) q^{9} +O(q^{10})\) \(q+(-1.17497 - 2.57283i) q^{2} +(-4.98567 + 1.46393i) q^{3} +(-5.23889 + 6.04600i) q^{4} +(19.8768 - 30.9289i) q^{5} +(9.62445 + 11.1072i) q^{6} +(-20.0835 + 2.88758i) q^{7} +(21.7108 + 6.37488i) q^{8} +(22.7138 - 14.5973i) q^{9} +(-102.929 - 14.7990i) q^{10} +(119.942 + 54.7757i) q^{11} +(17.2685 - 37.8127i) q^{12} +(32.1413 - 223.547i) q^{13} +(31.0268 + 48.2786i) q^{14} +(-53.8215 + 183.299i) q^{15} +(-9.10815 - 63.3486i) q^{16} +(-59.4525 + 51.5159i) q^{17} +(-64.2445 - 41.2874i) q^{18} +(-100.789 - 87.3344i) q^{19} +(82.8637 + 282.208i) q^{20} +(95.9027 - 43.7973i) q^{21} -372.950i q^{22} +(-520.845 - 92.5309i) q^{23} -117.576 q^{24} +(-301.874 - 661.013i) q^{25} +(-612.914 + 179.968i) q^{26} +(-91.8744 + 106.029i) q^{27} +(87.7570 - 136.553i) q^{28} +(-780.760 - 901.045i) q^{29} +(534.836 - 76.8979i) q^{30} +(-1185.15 - 347.992i) q^{31} +(-152.283 + 97.8664i) q^{32} +(-678.179 - 97.5075i) q^{33} +(202.397 + 92.4314i) q^{34} +(-309.886 + 678.556i) q^{35} +(-30.7400 + 213.801i) q^{36} +(335.430 + 521.939i) q^{37} +(-106.272 + 361.929i) q^{38} +(167.011 + 1161.59i) q^{39} +(628.710 - 544.780i) q^{40} +(-1466.86 - 942.693i) q^{41} +(-225.366 - 195.281i) q^{42} +(357.956 + 1219.09i) q^{43} +(-959.537 + 438.206i) q^{44} -992.661i q^{45} +(373.911 + 1448.76i) q^{46} +832.907 q^{47} +(138.148 + 302.502i) q^{48} +(-1908.73 + 560.454i) q^{49} +(-1345.98 + 1553.34i) q^{50} +(220.995 - 343.875i) q^{51} +(1183.18 + 1365.46i) q^{52} +(590.963 - 84.9676i) q^{53} +(380.743 + 111.796i) q^{54} +(4078.21 - 2620.91i) q^{55} +(-454.438 - 65.3384i) q^{56} +(630.353 + 287.873i) q^{57} +(-1400.86 + 3067.46i) q^{58} +(-104.470 + 726.608i) q^{59} +(-826.262 - 1285.69i) q^{60} +(1642.69 - 5594.48i) q^{61} +(497.196 + 3458.08i) q^{62} +(-414.023 + 358.753i) q^{63} +(430.722 + 276.808i) q^{64} +(-6275.20 - 5437.49i) q^{65} +(545.971 + 1859.41i) q^{66} +(4924.36 - 2248.88i) q^{67} -629.336i q^{68} +(2732.22 - 301.149i) q^{69} +2109.92 q^{70} +(-2286.34 - 5006.39i) q^{71} +(586.193 - 172.122i) q^{72} +(3938.87 - 4545.70i) q^{73} +(948.738 - 1476.27i) q^{74} +(2472.72 + 2853.67i) q^{75} +(1056.05 - 151.837i) q^{76} +(-2567.03 - 753.748i) q^{77} +(2792.33 - 1794.52i) q^{78} +(-1841.08 - 264.707i) q^{79} +(-2140.34 - 977.461i) q^{80} +(302.838 - 663.122i) q^{81} +(-701.870 + 4881.61i) q^{82} +(4952.35 + 7706.01i) q^{83} +(-237.625 + 809.276i) q^{84} +(411.604 + 2862.77i) q^{85} +(2715.91 - 2353.35i) q^{86} +(5211.67 + 3349.34i) q^{87} +(2254.86 + 1953.84i) q^{88} +(3839.65 + 13076.6i) q^{89} +(-2553.95 + 1166.35i) q^{90} +4582.43i q^{91} +(3288.09 - 2664.27i) q^{92} +6418.22 q^{93} +(-978.642 - 2142.93i) q^{94} +(-4704.52 + 1381.37i) q^{95} +(615.965 - 710.861i) q^{96} +(6100.39 - 9492.40i) q^{97} +(3684.66 + 4252.32i) q^{98} +(3523.92 - 506.664i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 128 q^{4} - 432 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 128 q^{4} - 432 q^{9} + 208 q^{13} - 1024 q^{16} - 1980 q^{17} - 3828 q^{19} - 3168 q^{20} + 3120 q^{23} + 9768 q^{25} + 4416 q^{26} + 5280 q^{28} - 828 q^{29} - 7748 q^{31} + 16464 q^{35} - 3456 q^{36} - 3520 q^{37} - 9072 q^{39} - 5472 q^{41} - 7216 q^{43} - 1280 q^{46} + 6960 q^{47} + 13888 q^{49} - 7296 q^{50} + 17424 q^{51} + 1664 q^{52} + 14784 q^{53} + 37316 q^{55} - 15840 q^{57} - 9984 q^{58} - 29808 q^{59} - 44968 q^{61} - 8192 q^{64} - 5852 q^{67} - 10584 q^{69} + 4352 q^{70} + 30048 q^{71} + 17084 q^{73} + 4176 q^{75} - 14160 q^{77} - 6912 q^{78} + 28424 q^{79} - 11664 q^{81} - 128 q^{82} - 35904 q^{83} - 91892 q^{85} + 8064 q^{87} - 15312 q^{89} - 6720 q^{92} + 11952 q^{93} + 21248 q^{94} + 224268 q^{95} + 41712 q^{97} + 62976 q^{98} + 17820 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17497 2.57283i −0.293743 0.643207i
\(3\) −4.98567 + 1.46393i −0.553964 + 0.162658i
\(4\) −5.23889 + 6.04600i −0.327430 + 0.377875i
\(5\) 19.8768 30.9289i 0.795071 1.23715i −0.172613 0.984990i \(-0.555221\pi\)
0.967684 0.252165i \(-0.0811426\pi\)
\(6\) 9.62445 + 11.1072i 0.267346 + 0.308533i
\(7\) −20.0835 + 2.88758i −0.409868 + 0.0589301i −0.344165 0.938909i \(-0.611838\pi\)
−0.0657027 + 0.997839i \(0.520929\pi\)
\(8\) 21.7108 + 6.37488i 0.339232 + 0.0996075i
\(9\) 22.7138 14.5973i 0.280418 0.180214i
\(10\) −102.929 14.7990i −1.02929 0.147990i
\(11\) 119.942 + 54.7757i 0.991257 + 0.452692i 0.843963 0.536401i \(-0.180217\pi\)
0.147294 + 0.989093i \(0.452944\pi\)
\(12\) 17.2685 37.8127i 0.119920 0.262588i
\(13\) 32.1413 223.547i 0.190185 1.32277i −0.641331 0.767264i \(-0.721617\pi\)
0.831516 0.555501i \(-0.187473\pi\)
\(14\) 31.0268 + 48.2786i 0.158300 + 0.246320i
\(15\) −53.8215 + 183.299i −0.239207 + 0.814664i
\(16\) −9.10815 63.3486i −0.0355787 0.247455i
\(17\) −59.4525 + 51.5159i −0.205718 + 0.178256i −0.751626 0.659589i \(-0.770730\pi\)
0.545908 + 0.837845i \(0.316185\pi\)
\(18\) −64.2445 41.2874i −0.198285 0.127430i
\(19\) −100.789 87.3344i −0.279195 0.241924i 0.503995 0.863707i \(-0.331863\pi\)
−0.783189 + 0.621783i \(0.786409\pi\)
\(20\) 82.8637 + 282.208i 0.207159 + 0.705519i
\(21\) 95.9027 43.7973i 0.217466 0.0993136i
\(22\) 372.950i 0.770558i
\(23\) −520.845 92.5309i −0.984583 0.174917i
\(24\) −117.576 −0.204124
\(25\) −301.874 661.013i −0.482999 1.05762i
\(26\) −612.914 + 179.968i −0.906677 + 0.266224i
\(27\) −91.8744 + 106.029i −0.126028 + 0.145444i
\(28\) 87.7570 136.553i 0.111935 0.174174i
\(29\) −780.760 901.045i −0.928371 1.07140i −0.997275 0.0737735i \(-0.976496\pi\)
0.0689044 0.997623i \(-0.478050\pi\)
\(30\) 534.836 76.8979i 0.594263 0.0854421i
\(31\) −1185.15 347.992i −1.23325 0.362115i −0.400775 0.916177i \(-0.631259\pi\)
−0.832476 + 0.554062i \(0.813077\pi\)
\(32\) −152.283 + 97.8664i −0.148714 + 0.0955727i
\(33\) −678.179 97.5075i −0.622754 0.0895385i
\(34\) 202.397 + 92.4314i 0.175083 + 0.0799579i
\(35\) −309.886 + 678.556i −0.252968 + 0.553924i
\(36\) −30.7400 + 213.801i −0.0237191 + 0.164970i
\(37\) 335.430 + 521.939i 0.245018 + 0.381255i 0.941880 0.335950i \(-0.109057\pi\)
−0.696862 + 0.717205i \(0.745421\pi\)
\(38\) −106.272 + 361.929i −0.0735955 + 0.250643i
\(39\) 167.011 + 1161.59i 0.109803 + 0.763699i
\(40\) 628.710 544.780i 0.392943 0.340487i
\(41\) −1466.86 942.693i −0.872611 0.560793i 0.0259394 0.999664i \(-0.491742\pi\)
−0.898550 + 0.438871i \(0.855379\pi\)
\(42\) −225.366 195.281i −0.127758 0.110703i
\(43\) 357.956 + 1219.09i 0.193594 + 0.659322i 0.997880 + 0.0650794i \(0.0207301\pi\)
−0.804286 + 0.594243i \(0.797452\pi\)
\(44\) −959.537 + 438.206i −0.495628 + 0.226346i
\(45\) 992.661i 0.490203i
\(46\) 373.911 + 1448.76i 0.176707 + 0.684671i
\(47\) 832.907 0.377052 0.188526 0.982068i \(-0.439629\pi\)
0.188526 + 0.982068i \(0.439629\pi\)
\(48\) 138.148 + 302.502i 0.0599600 + 0.131294i
\(49\) −1908.73 + 560.454i −0.794974 + 0.233425i
\(50\) −1345.98 + 1553.34i −0.538391 + 0.621337i
\(51\) 220.995 343.875i 0.0849655 0.132209i
\(52\) 1183.18 + 1365.46i 0.437567 + 0.504980i
\(53\) 590.963 84.9676i 0.210382 0.0302484i −0.0363179 0.999340i \(-0.511563\pi\)
0.246700 + 0.969092i \(0.420654\pi\)
\(54\) 380.743 + 111.796i 0.130570 + 0.0383389i
\(55\) 4078.21 2620.91i 1.34817 0.866416i
\(56\) −454.438 65.3384i −0.144910 0.0208349i
\(57\) 630.353 + 287.873i 0.194015 + 0.0886035i
\(58\) −1400.86 + 3067.46i −0.416428 + 0.911849i
\(59\) −104.470 + 726.608i −0.0300116 + 0.208735i −0.999310 0.0371538i \(-0.988171\pi\)
0.969298 + 0.245889i \(0.0790800\pi\)
\(60\) −826.262 1285.69i −0.229517 0.357136i
\(61\) 1642.69 5594.48i 0.441464 1.50349i −0.375513 0.926817i \(-0.622533\pi\)
0.816977 0.576670i \(-0.195648\pi\)
\(62\) 497.196 + 3458.08i 0.129344 + 0.899604i
\(63\) −414.023 + 358.753i −0.104314 + 0.0903888i
\(64\) 430.722 + 276.808i 0.105157 + 0.0675801i
\(65\) −6275.20 5437.49i −1.48526 1.28698i
\(66\) 545.971 + 1859.41i 0.125338 + 0.426861i
\(67\) 4924.36 2248.88i 1.09698 0.500976i 0.217093 0.976151i \(-0.430343\pi\)
0.879891 + 0.475175i \(0.157615\pi\)
\(68\) 629.336i 0.136102i
\(69\) 2732.22 301.149i 0.573875 0.0632533i
\(70\) 2109.92 0.430595
\(71\) −2286.34 5006.39i −0.453549 0.993134i −0.988911 0.148511i \(-0.952552\pi\)
0.535362 0.844623i \(-0.320175\pi\)
\(72\) 586.193 172.122i 0.113077 0.0332025i
\(73\) 3938.87 4545.70i 0.739138 0.853011i −0.254330 0.967117i \(-0.581855\pi\)
0.993469 + 0.114106i \(0.0364005\pi\)
\(74\) 948.738 1476.27i 0.173254 0.269588i
\(75\) 2472.72 + 2853.67i 0.439595 + 0.507319i
\(76\) 1056.05 151.837i 0.182834 0.0262875i
\(77\) −2567.03 753.748i −0.432962 0.127129i
\(78\) 2792.33 1794.52i 0.458963 0.294957i
\(79\) −1841.08 264.707i −0.294997 0.0424142i −0.00677284 0.999977i \(-0.502156\pi\)
−0.288225 + 0.957563i \(0.593065\pi\)
\(80\) −2140.34 977.461i −0.334428 0.152728i
\(81\) 302.838 663.122i 0.0461572 0.101070i
\(82\) −701.870 + 4881.61i −0.104383 + 0.725998i
\(83\) 4952.35 + 7706.01i 0.718879 + 1.11860i 0.987844 + 0.155447i \(0.0496818\pi\)
−0.268966 + 0.963150i \(0.586682\pi\)
\(84\) −237.625 + 809.276i −0.0336770 + 0.114693i
\(85\) 411.604 + 2862.77i 0.0569694 + 0.396231i
\(86\) 2715.91 2353.35i 0.367214 0.318192i
\(87\) 5211.67 + 3349.34i 0.688555 + 0.442507i
\(88\) 2254.86 + 1953.84i 0.291175 + 0.252304i
\(89\) 3839.65 + 13076.6i 0.484743 + 1.65088i 0.731528 + 0.681812i \(0.238808\pi\)
−0.246785 + 0.969070i \(0.579374\pi\)
\(90\) −2553.95 + 1166.35i −0.315302 + 0.143994i
\(91\) 4582.43i 0.553367i
\(92\) 3288.09 2664.27i 0.388479 0.314776i
\(93\) 6418.22 0.742077
\(94\) −978.642 2142.93i −0.110756 0.242522i
\(95\) −4704.52 + 1381.37i −0.521277 + 0.153061i
\(96\) 615.965 710.861i 0.0668364 0.0771334i
\(97\) 6100.39 9492.40i 0.648357 1.00886i −0.349064 0.937099i \(-0.613500\pi\)
0.997422 0.0717650i \(-0.0228632\pi\)
\(98\) 3684.66 + 4252.32i 0.383659 + 0.442766i
\(99\) 3523.92 506.664i 0.359547 0.0516951i
\(100\) 5577.97 + 1637.84i 0.557797 + 0.163784i
\(101\) −4195.85 + 2696.51i −0.411318 + 0.264338i −0.729895 0.683559i \(-0.760431\pi\)
0.318578 + 0.947897i \(0.396795\pi\)
\(102\) −1144.40 164.539i −0.109996 0.0158150i
\(103\) −6209.45 2835.76i −0.585300 0.267298i 0.100679 0.994919i \(-0.467899\pi\)
−0.685979 + 0.727621i \(0.740626\pi\)
\(104\) 2122.90 4648.51i 0.196274 0.429780i
\(105\) 551.636 3836.71i 0.0500350 0.348001i
\(106\) −912.971 1420.61i −0.0812541 0.126434i
\(107\) −128.813 + 438.697i −0.0112510 + 0.0383175i −0.964927 0.262518i \(-0.915447\pi\)
0.953676 + 0.300835i \(0.0972654\pi\)
\(108\) −159.730 1110.94i −0.0136943 0.0952456i
\(109\) −3265.24 + 2829.35i −0.274829 + 0.238141i −0.781359 0.624081i \(-0.785473\pi\)
0.506530 + 0.862222i \(0.330928\pi\)
\(110\) −11534.9 7413.05i −0.953300 0.612649i
\(111\) −2436.42 2111.17i −0.197745 0.171347i
\(112\) 365.848 + 1245.96i 0.0291651 + 0.0993273i
\(113\) −13577.8 + 6200.79i −1.06334 + 0.485613i −0.868739 0.495269i \(-0.835069\pi\)
−0.194604 + 0.980882i \(0.562342\pi\)
\(114\) 1960.03i 0.150818i
\(115\) −13214.6 + 14269.9i −0.999213 + 1.07901i
\(116\) 9538.02 0.708831
\(117\) −2533.14 5546.80i −0.185049 0.405201i
\(118\) 1992.19 584.959i 0.143076 0.0420108i
\(119\) 1045.26 1206.29i 0.0738126 0.0851843i
\(120\) −2337.02 + 3636.48i −0.162293 + 0.252533i
\(121\) 1797.91 + 2074.90i 0.122800 + 0.141718i
\(122\) −16323.7 + 2347.00i −1.09673 + 0.157686i
\(123\) 8693.31 + 2552.59i 0.574612 + 0.168721i
\(124\) 8312.85 5342.34i 0.540638 0.347447i
\(125\) −3700.29 532.021i −0.236819 0.0340494i
\(126\) 1409.48 + 643.686i 0.0887803 + 0.0405446i
\(127\) 5587.36 12234.6i 0.346417 0.758548i −0.653581 0.756856i \(-0.726734\pi\)
0.999999 0.00169163i \(-0.000538462\pi\)
\(128\) 206.094 1433.41i 0.0125790 0.0874887i
\(129\) −3569.30 5553.95i −0.214489 0.333751i
\(130\) −6616.55 + 22533.9i −0.391512 + 1.33337i
\(131\) −3366.26 23412.8i −0.196157 1.36431i −0.815306 0.579031i \(-0.803431\pi\)
0.619148 0.785274i \(-0.287478\pi\)
\(132\) 4142.43 3589.44i 0.237743 0.206006i
\(133\) 2276.39 + 1462.95i 0.128690 + 0.0827037i
\(134\) −11572.0 10027.2i −0.644462 0.558430i
\(135\) 1453.18 + 4949.08i 0.0797356 + 0.271555i
\(136\) −1619.17 + 739.451i −0.0875417 + 0.0399790i
\(137\) 31682.4i 1.68802i 0.536328 + 0.844010i \(0.319811\pi\)
−0.536328 + 0.844010i \(0.680189\pi\)
\(138\) −3985.08 6675.69i −0.209257 0.350540i
\(139\) 37123.7 1.92142 0.960709 0.277559i \(-0.0895253\pi\)
0.960709 + 0.277559i \(0.0895253\pi\)
\(140\) −2479.09 5428.45i −0.126484 0.276962i
\(141\) −4152.60 + 1219.31i −0.208873 + 0.0613306i
\(142\) −10194.2 + 11764.7i −0.505564 + 0.583452i
\(143\) 16100.1 25052.2i 0.787327 1.22511i
\(144\) −1131.60 1305.94i −0.0545717 0.0629791i
\(145\) −43387.3 + 6238.15i −2.06360 + 0.296702i
\(146\) −16323.3 4792.97i −0.765779 0.224853i
\(147\) 8695.85 5588.48i 0.402418 0.258618i
\(148\) −4912.92 706.371i −0.224293 0.0322485i
\(149\) −8913.13 4070.49i −0.401474 0.183347i 0.204436 0.978880i \(-0.434464\pi\)
−0.605911 + 0.795533i \(0.707191\pi\)
\(150\) 4436.63 9714.86i 0.197184 0.431772i
\(151\) −3715.56 + 25842.3i −0.162956 + 1.13339i 0.730067 + 0.683375i \(0.239489\pi\)
−0.893024 + 0.450010i \(0.851420\pi\)
\(152\) −1631.47 2538.62i −0.0706144 0.109878i
\(153\) −598.402 + 2037.97i −0.0255629 + 0.0870593i
\(154\) 1076.92 + 7490.16i 0.0454091 + 0.315827i
\(155\) −34320.1 + 29738.5i −1.42851 + 1.23781i
\(156\) −7897.90 5075.67i −0.324536 0.208566i
\(157\) −668.545 579.298i −0.0271226 0.0235019i 0.641194 0.767379i \(-0.278439\pi\)
−0.668317 + 0.743877i \(0.732985\pi\)
\(158\) 1482.17 + 5047.80i 0.0593722 + 0.202203i
\(159\) −2821.96 + 1288.75i −0.111624 + 0.0509769i
\(160\) 6655.22i 0.259969i
\(161\) 10727.6 + 354.368i 0.413857 + 0.0136711i
\(162\) −2061.92 −0.0785674
\(163\) −8842.57 19362.5i −0.332815 0.728764i 0.667053 0.745011i \(-0.267556\pi\)
−0.999868 + 0.0162465i \(0.994828\pi\)
\(164\) 13384.2 3929.96i 0.497629 0.146117i
\(165\) −16495.8 + 19037.2i −0.605907 + 0.699254i
\(166\) 14007.4 21795.9i 0.508324 0.790967i
\(167\) −22693.0 26189.1i −0.813690 0.939049i 0.185358 0.982671i \(-0.440656\pi\)
−0.999048 + 0.0436224i \(0.986110\pi\)
\(168\) 2361.33 339.508i 0.0836639 0.0120291i
\(169\) −21536.3 6323.62i −0.754045 0.221408i
\(170\) 6881.79 4422.66i 0.238124 0.153033i
\(171\) −3564.16 512.449i −0.121889 0.0175250i
\(172\) −9245.89 4222.46i −0.312530 0.142728i
\(173\) 11846.8 25940.8i 0.395830 0.866746i −0.601847 0.798612i \(-0.705568\pi\)
0.997676 0.0681341i \(-0.0217046\pi\)
\(174\) 2493.71 17344.1i 0.0823658 0.572867i
\(175\) 7971.43 + 12403.8i 0.260291 + 0.405021i
\(176\) 2377.51 8097.07i 0.0767534 0.261398i
\(177\) −542.845 3775.57i −0.0173272 0.120513i
\(178\) 29132.5 25243.4i 0.919469 0.796724i
\(179\) 35430.2 + 22769.6i 1.10578 + 0.710639i 0.960369 0.278732i \(-0.0899143\pi\)
0.145408 + 0.989372i \(0.453551\pi\)
\(180\) 6001.62 + 5200.44i 0.185235 + 0.160507i
\(181\) −16437.6 55981.3i −0.501743 1.70878i −0.687501 0.726184i \(-0.741292\pi\)
0.185758 0.982596i \(-0.440526\pi\)
\(182\) 11789.8 5384.22i 0.355929 0.162547i
\(183\) 30297.0i 0.904685i
\(184\) −10718.1 5329.25i −0.316579 0.157409i
\(185\) 22810.2 0.666479
\(186\) −7541.23 16513.0i −0.217980 0.477309i
\(187\) −9952.68 + 2922.37i −0.284614 + 0.0835703i
\(188\) −4363.50 + 5035.75i −0.123458 + 0.142478i
\(189\) 1539.00 2394.72i 0.0430838 0.0670397i
\(190\) 9081.71 + 10480.9i 0.251571 + 0.290328i
\(191\) 16152.7 2322.41i 0.442771 0.0636609i 0.0826760 0.996576i \(-0.473653\pi\)
0.360095 + 0.932916i \(0.382744\pi\)
\(192\) −2552.66 749.530i −0.0692454 0.0203323i
\(193\) 39531.4 25405.3i 1.06127 0.682039i 0.111116 0.993807i \(-0.464558\pi\)
0.950158 + 0.311768i \(0.100921\pi\)
\(194\) −31590.1 4541.97i −0.839359 0.120682i
\(195\) 39246.2 + 17923.1i 1.03212 + 0.471351i
\(196\) 6611.13 14476.3i 0.172093 0.376831i
\(197\) −4845.49 + 33701.1i −0.124855 + 0.868385i 0.827080 + 0.562084i \(0.190000\pi\)
−0.951935 + 0.306300i \(0.900909\pi\)
\(198\) −5444.07 8471.13i −0.138865 0.216078i
\(199\) −2546.29 + 8671.88i −0.0642987 + 0.218981i −0.985375 0.170402i \(-0.945494\pi\)
0.921076 + 0.389383i \(0.127312\pi\)
\(200\) −2340.07 16275.6i −0.0585018 0.406889i
\(201\) −21259.1 + 18421.1i −0.526201 + 0.455956i
\(202\) 11867.7 + 7626.88i 0.290846 + 0.186915i
\(203\) 18282.2 + 15841.7i 0.443647 + 0.384422i
\(204\) 921.300 + 3137.66i 0.0221381 + 0.0753955i
\(205\) −58312.9 + 26630.6i −1.38758 + 0.633685i
\(206\) 19307.8i 0.454986i
\(207\) −13181.1 + 5501.19i −0.307617 + 0.128386i
\(208\) −14454.2 −0.334092
\(209\) −7305.07 15995.9i −0.167237 0.366198i
\(210\) −10519.4 + 3088.76i −0.238534 + 0.0700399i
\(211\) −3312.08 + 3822.35i −0.0743937 + 0.0858549i −0.791726 0.610876i \(-0.790817\pi\)
0.717333 + 0.696731i \(0.245363\pi\)
\(212\) −2582.27 + 4018.10i −0.0574553 + 0.0894023i
\(213\) 18727.9 + 21613.2i 0.412791 + 0.476386i
\(214\) 1280.04 184.043i 0.0279510 0.00401875i
\(215\) 44820.0 + 13160.3i 0.969605 + 0.284702i
\(216\) −2670.59 + 1716.29i −0.0572401 + 0.0367859i
\(217\) 24806.9 + 3566.70i 0.526809 + 0.0757437i
\(218\) 11116.0 + 5076.51i 0.233903 + 0.106820i
\(219\) −12983.3 + 28429.6i −0.270706 + 0.592764i
\(220\) −5519.29 + 38387.5i −0.114035 + 0.793130i
\(221\) 9605.36 + 14946.2i 0.196666 + 0.306018i
\(222\) −2568.95 + 8749.06i −0.0521255 + 0.177523i
\(223\) 123.374 + 858.086i 0.00248093 + 0.0172552i 0.991024 0.133682i \(-0.0426800\pi\)
−0.988543 + 0.150937i \(0.951771\pi\)
\(224\) 2775.79 2405.23i 0.0553210 0.0479359i
\(225\) −16505.7 10607.6i −0.326039 0.209533i
\(226\) 31907.1 + 27647.7i 0.624699 + 0.541305i
\(227\) 25062.5 + 85354.9i 0.486376 + 1.65644i 0.727620 + 0.685980i \(0.240626\pi\)
−0.241244 + 0.970464i \(0.577556\pi\)
\(228\) −5042.83 + 2302.98i −0.0970073 + 0.0443017i
\(229\) 75626.7i 1.44213i −0.692868 0.721064i \(-0.743653\pi\)
0.692868 0.721064i \(-0.256347\pi\)
\(230\) 52240.8 + 17232.1i 0.987539 + 0.325749i
\(231\) 13901.8 0.260523
\(232\) −11206.9 24539.7i −0.208214 0.455925i
\(233\) 61774.6 18138.6i 1.13788 0.334113i 0.342082 0.939670i \(-0.388868\pi\)
0.795802 + 0.605557i \(0.207050\pi\)
\(234\) −11294.6 + 13034.6i −0.206271 + 0.238050i
\(235\) 16555.5 25760.9i 0.299783 0.466471i
\(236\) −3845.76 4438.25i −0.0690492 0.0796870i
\(237\) 9566.53 1375.46i 0.170317 0.0244879i
\(238\) −4331.74 1271.91i −0.0764730 0.0224545i
\(239\) −22883.3 + 14706.2i −0.400612 + 0.257458i −0.725398 0.688330i \(-0.758344\pi\)
0.324786 + 0.945788i \(0.394708\pi\)
\(240\) 12102.0 + 1740.00i 0.210104 + 0.0302083i
\(241\) 37384.4 + 17072.9i 0.643660 + 0.293950i 0.710376 0.703822i \(-0.248525\pi\)
−0.0667163 + 0.997772i \(0.521252\pi\)
\(242\) 3225.86 7063.65i 0.0550827 0.120614i
\(243\) −539.088 + 3749.44i −0.00912950 + 0.0634971i
\(244\) 25218.3 + 39240.5i 0.423581 + 0.659105i
\(245\) −20605.2 + 70175.0i −0.343278 + 1.16910i
\(246\) −3647.02 25365.6i −0.0602654 0.419155i
\(247\) −22762.9 + 19724.1i −0.373107 + 0.323299i
\(248\) −23512.3 15110.4i −0.382289 0.245682i
\(249\) −35971.8 31169.8i −0.580182 0.502730i
\(250\) 2978.93 + 10145.3i 0.0476630 + 0.162325i
\(251\) 69959.9 31949.6i 1.11046 0.507129i 0.226178 0.974086i \(-0.427377\pi\)
0.884280 + 0.466957i \(0.154650\pi\)
\(252\) 4382.65i 0.0690138i
\(253\) −57402.7 39628.0i −0.896792 0.619100i
\(254\) −38042.6 −0.589661
\(255\) −6243.00 13670.3i −0.0960093 0.210231i
\(256\) −3930.08 + 1153.98i −0.0599683 + 0.0176083i
\(257\) 13159.4 15186.7i 0.199237 0.229931i −0.647336 0.762205i \(-0.724117\pi\)
0.846572 + 0.532274i \(0.178662\pi\)
\(258\) −10095.5 + 15708.9i −0.151666 + 0.235997i
\(259\) −8243.75 9513.79i −0.122892 0.141825i
\(260\) 65750.1 9453.44i 0.972635 0.139844i
\(261\) −30886.9 9069.21i −0.453412 0.133134i
\(262\) −56282.0 + 36170.2i −0.819911 + 0.526925i
\(263\) 90503.4 + 13012.4i 1.30844 + 0.188125i 0.761017 0.648732i \(-0.224700\pi\)
0.547422 + 0.836857i \(0.315609\pi\)
\(264\) −14102.3 6440.28i −0.202339 0.0924053i
\(265\) 9118.49 19966.7i 0.129847 0.284325i
\(266\) 1089.22 7575.68i 0.0153940 0.107068i
\(267\) −38286.4 59574.9i −0.537059 0.835681i
\(268\) −12201.4 + 41554.3i −0.169880 + 0.578557i
\(269\) −1235.44 8592.65i −0.0170732 0.118747i 0.979502 0.201432i \(-0.0645595\pi\)
−0.996576 + 0.0826851i \(0.973650\pi\)
\(270\) 11025.7 9553.81i 0.151244 0.131054i
\(271\) −100233. 64415.7i −1.36481 0.877108i −0.366235 0.930522i \(-0.619353\pi\)
−0.998572 + 0.0534141i \(0.982990\pi\)
\(272\) 3804.96 + 3297.02i 0.0514295 + 0.0445639i
\(273\) −6708.33 22846.5i −0.0900097 0.306545i
\(274\) 81513.4 37225.9i 1.08575 0.495843i
\(275\) 95818.6i 1.26702i
\(276\) −12493.0 + 18096.7i −0.164002 + 0.237564i
\(277\) 66071.8 0.861106 0.430553 0.902565i \(-0.358319\pi\)
0.430553 + 0.902565i \(0.358319\pi\)
\(278\) −43619.3 95512.9i −0.564402 1.23587i
\(279\) −31999.1 + 9395.80i −0.411083 + 0.120705i
\(280\) −11053.6 + 12756.5i −0.140990 + 0.162711i
\(281\) 62064.3 96573.9i 0.786012 1.22306i −0.184696 0.982796i \(-0.559130\pi\)
0.970708 0.240263i \(-0.0772336\pi\)
\(282\) 8016.27 + 9251.27i 0.100803 + 0.116333i
\(283\) 78216.8 11245.9i 0.976624 0.140417i 0.364521 0.931195i \(-0.381233\pi\)
0.612103 + 0.790778i \(0.290324\pi\)
\(284\) 42246.5 + 12404.7i 0.523786 + 0.153797i
\(285\) 21433.0 13774.1i 0.263872 0.169580i
\(286\) −83372.0 11987.1i −1.01927 0.146549i
\(287\) 32181.8 + 14696.9i 0.390703 + 0.178428i
\(288\) −2030.35 + 4445.85i −0.0244786 + 0.0536006i
\(289\) −11005.6 + 76545.4i −0.131770 + 0.916481i
\(290\) 67028.5 + 104298.i 0.797009 + 1.24017i
\(291\) −16518.4 + 56256.5i −0.195066 + 0.664335i
\(292\) 6847.98 + 47628.8i 0.0803150 + 0.558603i
\(293\) −80285.0 + 69567.3i −0.935188 + 0.810345i −0.982062 0.188556i \(-0.939619\pi\)
0.0468745 + 0.998901i \(0.485074\pi\)
\(294\) −24595.6 15806.6i −0.284553 0.182871i
\(295\) 20396.6 + 17673.8i 0.234377 + 0.203089i
\(296\) 3955.16 + 13470.1i 0.0451420 + 0.153740i
\(297\) −16827.4 + 7684.82i −0.190767 + 0.0871206i
\(298\) 27714.7i 0.312088i
\(299\) −37425.6 + 113459.i −0.418627 + 1.26911i
\(300\) −30207.6 −0.335640
\(301\) −10709.2 23449.9i −0.118202 0.258826i
\(302\) 70853.5 20804.5i 0.776868 0.228109i
\(303\) 16971.6 19586.3i 0.184858 0.213338i
\(304\) −4614.51 + 7180.31i −0.0499319 + 0.0776956i
\(305\) −140380. 162007.i −1.50905 1.74154i
\(306\) 5946.45 854.971i 0.0635060 0.00913079i
\(307\) 137903. + 40492.1i 1.46318 + 0.429629i 0.913876 0.405993i \(-0.133074\pi\)
0.549306 + 0.835622i \(0.314892\pi\)
\(308\) 18005.5 11571.4i 0.189804 0.121979i
\(309\) 35109.6 + 5048.00i 0.367713 + 0.0528692i
\(310\) 116837. + 53357.7i 1.21579 + 0.555231i
\(311\) −31733.3 + 69486.3i −0.328091 + 0.718420i −0.999748 0.0224426i \(-0.992856\pi\)
0.671657 + 0.740862i \(0.265583\pi\)
\(312\) −3779.02 + 26283.7i −0.0388213 + 0.270008i
\(313\) −21667.6 33715.4i −0.221168 0.344144i 0.712884 0.701282i \(-0.247389\pi\)
−0.934051 + 0.357139i \(0.883752\pi\)
\(314\) −704.912 + 2400.71i −0.00714950 + 0.0243490i
\(315\) 2866.38 + 19936.1i 0.0288877 + 0.200918i
\(316\) 11245.6 9744.39i 0.112618 0.0975844i
\(317\) −98403.8 63240.3i −0.979250 0.629326i −0.0499888 0.998750i \(-0.515919\pi\)
−0.929261 + 0.369424i \(0.879555\pi\)
\(318\) 6631.44 + 5746.18i 0.0655774 + 0.0568231i
\(319\) −44290.6 150840.i −0.435241 1.48230i
\(320\) 17122.7 7819.69i 0.167214 0.0763641i
\(321\) 2375.77i 0.0230566i
\(322\) −11692.9 28016.6i −0.112774 0.270211i
\(323\) 10491.3 0.100560
\(324\) 2422.70 + 5304.97i 0.0230786 + 0.0505351i
\(325\) −157470. + 46237.4i −1.49084 + 0.437751i
\(326\) −39426.7 + 45500.8i −0.370984 + 0.428138i
\(327\) 12137.5 18886.3i 0.113510 0.176625i
\(328\) −25837.2 29817.7i −0.240158 0.277158i
\(329\) −16727.7 + 2405.08i −0.154541 + 0.0222197i
\(330\) 68361.5 + 20072.8i 0.627746 + 0.184323i
\(331\) −87623.5 + 56312.2i −0.799769 + 0.513980i −0.875540 0.483145i \(-0.839494\pi\)
0.0757714 + 0.997125i \(0.475858\pi\)
\(332\) −72535.4 10429.0i −0.658072 0.0946165i
\(333\) 15237.8 + 6958.87i 0.137415 + 0.0627552i
\(334\) −40716.5 + 89156.7i −0.364987 + 0.799210i
\(335\) 28325.1 197005.i 0.252396 1.75545i
\(336\) −3647.99 5676.39i −0.0323128 0.0502798i
\(337\) −18440.5 + 62802.7i −0.162373 + 0.552991i 0.837605 + 0.546277i \(0.183955\pi\)
−0.999977 + 0.00671418i \(0.997863\pi\)
\(338\) 9034.91 + 62839.2i 0.0790844 + 0.550044i
\(339\) 58617.1 50792.0i 0.510064 0.441973i
\(340\) −19464.6 12509.2i −0.168379 0.108211i
\(341\) −123088. 106657.i −1.05854 0.917231i
\(342\) 2869.34 + 9772.08i 0.0245318 + 0.0835478i
\(343\) 81029.7 37005.0i 0.688741 0.314538i
\(344\) 28749.3i 0.242947i
\(345\) 44993.5 90490.3i 0.378017 0.760263i
\(346\) −80660.9 −0.673769
\(347\) 71171.9 + 155845.i 0.591085 + 1.29430i 0.934784 + 0.355216i \(0.115593\pi\)
−0.343700 + 0.939080i \(0.611680\pi\)
\(348\) −47553.5 + 13963.0i −0.392666 + 0.115297i
\(349\) −44144.5 + 50945.4i −0.362431 + 0.418268i −0.907453 0.420154i \(-0.861976\pi\)
0.545022 + 0.838422i \(0.316521\pi\)
\(350\) 22546.6 35083.2i 0.184054 0.286393i
\(351\) 20749.5 + 23946.2i 0.168420 + 0.194367i
\(352\) −23625.9 + 3396.89i −0.190679 + 0.0274155i
\(353\) 229653. + 67432.1i 1.84299 + 0.541149i 0.999995 + 0.00322041i \(0.00102509\pi\)
0.842990 + 0.537929i \(0.180793\pi\)
\(354\) −9076.06 + 5832.83i −0.0724254 + 0.0465450i
\(355\) −200287. 28796.9i −1.58926 0.228502i
\(356\) −99176.8 45292.5i −0.782546 0.357377i
\(357\) −3445.40 + 7544.37i −0.0270335 + 0.0591952i
\(358\) 16952.8 117909.i 0.132274 0.919988i
\(359\) −91.8860 142.977i −0.000712952 0.00110937i 0.840897 0.541195i \(-0.182028\pi\)
−0.841610 + 0.540086i \(0.818392\pi\)
\(360\) 6328.09 21551.5i 0.0488279 0.166293i
\(361\) −16015.4 111390.i −0.122892 0.854734i
\(362\) −124717. + 108068.i −0.951715 + 0.824666i
\(363\) −12001.3 7712.75i −0.0910782 0.0585324i
\(364\) −27705.4 24006.8i −0.209103 0.181189i
\(365\) −62301.2 212178.i −0.467639 1.59263i
\(366\) 77949.0 35598.1i 0.581900 0.265745i
\(367\) 54619.3i 0.405521i 0.979228 + 0.202761i \(0.0649914\pi\)
−0.979228 + 0.202761i \(0.935009\pi\)
\(368\) −1117.77 + 33837.5i −0.00825384 + 0.249864i
\(369\) −47078.8 −0.345758
\(370\) −26801.4 58686.8i −0.195773 0.428684i
\(371\) −11623.3 + 3412.90i −0.0844463 + 0.0247957i
\(372\) −33624.3 + 38804.5i −0.242978 + 0.280412i
\(373\) −7359.46 + 11451.5i −0.0528967 + 0.0823088i −0.866695 0.498839i \(-0.833760\pi\)
0.813798 + 0.581148i \(0.197396\pi\)
\(374\) 19212.9 + 22172.8i 0.137356 + 0.158518i
\(375\) 19227.3 2764.46i 0.136727 0.0196584i
\(376\) 18083.1 + 5309.68i 0.127908 + 0.0375572i
\(377\) −226521. + 145576.i −1.59377 + 1.02425i
\(378\) −7969.49 1145.84i −0.0557760 0.00801937i
\(379\) −101969. 46567.8i −0.709890 0.324196i 0.0275387 0.999621i \(-0.491233\pi\)
−0.737429 + 0.675425i \(0.763960\pi\)
\(380\) 16294.7 35680.4i 0.112844 0.247094i
\(381\) −9946.19 + 69177.3i −0.0685183 + 0.476556i
\(382\) −24954.2 38829.4i −0.171008 0.266093i
\(383\) 20301.6 69140.8i 0.138399 0.471342i −0.860901 0.508773i \(-0.830099\pi\)
0.999299 + 0.0374308i \(0.0119174\pi\)
\(384\) 1070.90 + 7448.24i 0.00726247 + 0.0505116i
\(385\) −74336.8 + 64413.2i −0.501513 + 0.434564i
\(386\) −111812. 71857.0i −0.750434 0.482275i
\(387\) 25925.9 + 22465.0i 0.173106 + 0.149997i
\(388\) 25431.7 + 86612.6i 0.168932 + 0.575331i
\(389\) −17791.9 + 8125.27i −0.117577 + 0.0536956i −0.473335 0.880883i \(-0.656950\pi\)
0.355758 + 0.934578i \(0.384223\pi\)
\(390\) 122033.i 0.802320i
\(391\) 35732.3 21330.6i 0.233726 0.139524i
\(392\) −45013.0 −0.292932
\(393\) 51057.7 + 111801.i 0.330580 + 0.723869i
\(394\) 92400.5 27131.2i 0.595226 0.174774i
\(395\) −44781.8 + 51681.0i −0.287017 + 0.331235i
\(396\) −15398.1 + 23960.0i −0.0981924 + 0.152790i
\(397\) 86033.4 + 99287.8i 0.545866 + 0.629963i 0.959915 0.280292i \(-0.0904313\pi\)
−0.414049 + 0.910255i \(0.635886\pi\)
\(398\) 25303.1 3638.03i 0.159738 0.0229668i
\(399\) −13491.0 3961.31i −0.0847418 0.0248824i
\(400\) −39124.7 + 25143.9i −0.244529 + 0.157149i
\(401\) 38400.7 + 5521.19i 0.238809 + 0.0343355i 0.260680 0.965425i \(-0.416053\pi\)
−0.0218711 + 0.999761i \(0.506962\pi\)
\(402\) 72373.1 + 33051.7i 0.447842 + 0.204523i
\(403\) −115885. + 253753.i −0.713539 + 1.56243i
\(404\) 5678.50 39494.8i 0.0347913 0.241979i
\(405\) −14490.2 22547.1i −0.0883412 0.137462i
\(406\) 19276.7 65650.5i 0.116945 0.398278i
\(407\) 11642.6 + 80975.8i 0.0702845 + 0.488840i
\(408\) 6990.16 6057.01i 0.0419920 0.0363863i
\(409\) 99358.5 + 63853.8i 0.593961 + 0.381716i 0.802812 0.596232i \(-0.203336\pi\)
−0.208851 + 0.977947i \(0.566972\pi\)
\(410\) 137032. + 118739.i 0.815181 + 0.706358i
\(411\) −46380.7 157958.i −0.274570 0.935101i
\(412\) 49675.6 22686.1i 0.292650 0.133649i
\(413\) 14894.5i 0.0873226i
\(414\) 29641.0 + 27448.9i 0.172939 + 0.160149i
\(415\) 336775. 1.95544
\(416\) 16983.2 + 37188.0i 0.0981371 + 0.214890i
\(417\) −185087. + 54346.3i −1.06440 + 0.312535i
\(418\) −32571.4 + 37589.4i −0.186416 + 0.215136i
\(419\) 122434. 190511.i 0.697387 1.08516i −0.294204 0.955743i \(-0.595054\pi\)
0.991591 0.129413i \(-0.0413092\pi\)
\(420\) 20306.8 + 23435.3i 0.115118 + 0.132853i
\(421\) 301863. 43401.4i 1.70312 0.244872i 0.779016 0.627004i \(-0.215719\pi\)
0.924108 + 0.382132i \(0.124810\pi\)
\(422\) 13725.8 + 4030.27i 0.0770751 + 0.0226313i
\(423\) 18918.5 12158.2i 0.105732 0.0679498i
\(424\) 13372.0 + 1922.60i 0.0743812 + 0.0106944i
\(425\) 51999.9 + 23747.5i 0.287888 + 0.131474i
\(426\) 33602.2 73578.6i 0.185161 0.405445i
\(427\) −16836.5 + 117100.i −0.0923411 + 0.642247i
\(428\) −1977.53 3077.09i −0.0107953 0.0167978i
\(429\) −43595.1 + 148471.i −0.236877 + 0.806729i
\(430\) −18802.9 130777.i −0.101692 0.707286i
\(431\) −160326. + 138923.i −0.863077 + 0.747860i −0.969143 0.246499i \(-0.920720\pi\)
0.106066 + 0.994359i \(0.466174\pi\)
\(432\) 7553.57 + 4854.39i 0.0404748 + 0.0260116i
\(433\) 171500. + 148606.i 0.914720 + 0.792610i 0.978690 0.205342i \(-0.0658308\pi\)
−0.0639701 + 0.997952i \(0.520376\pi\)
\(434\) −19970.9 68014.7i −0.106027 0.361096i
\(435\) 207183. 94617.1i 1.09490 0.500024i
\(436\) 34564.3i 0.181825i
\(437\) 44414.4 + 54813.8i 0.232574 + 0.287030i
\(438\) 88399.4 0.460788
\(439\) 61638.9 + 134970.i 0.319835 + 0.700341i 0.999448 0.0332303i \(-0.0105795\pi\)
−0.679613 + 0.733571i \(0.737852\pi\)
\(440\) 105249. 30904.0i 0.543644 0.159628i
\(441\) −35173.5 + 40592.4i −0.180858 + 0.208722i
\(442\) 27168.1 42274.3i 0.139064 0.216388i
\(443\) −62920.0 72613.6i −0.320613 0.370007i 0.572449 0.819940i \(-0.305993\pi\)
−0.893062 + 0.449933i \(0.851448\pi\)
\(444\) 25528.3 3670.41i 0.129496 0.0186187i
\(445\) 480765. + 141165.i 2.42780 + 0.712867i
\(446\) 2062.75 1325.65i 0.0103699 0.00666435i
\(447\) 50396.8 + 7245.97i 0.252225 + 0.0362645i
\(448\) −9449.72 4315.54i −0.0470829 0.0215020i
\(449\) 13257.7 29030.4i 0.0657623 0.143999i −0.873897 0.486111i \(-0.838415\pi\)
0.939659 + 0.342112i \(0.111142\pi\)
\(450\) −7897.74 + 54930.0i −0.0390012 + 0.271259i
\(451\) −124301. 193417.i −0.611115 0.950914i
\(452\) 33642.8 114577.i 0.164670 0.560815i
\(453\) −19306.6 134281.i −0.0940828 0.654360i
\(454\) 190156. 164771.i 0.922567 0.799409i
\(455\) 141729. + 91083.9i 0.684600 + 0.439966i
\(456\) 11850.4 + 10268.4i 0.0569904 + 0.0493825i
\(457\) −34929.7 118960.i −0.167249 0.569597i −0.999876 0.0157627i \(-0.994982\pi\)
0.832627 0.553834i \(-0.186836\pi\)
\(458\) −194574. + 88859.1i −0.927587 + 0.423615i
\(459\) 11036.7i 0.0523857i
\(460\) −17046.2 154654.i −0.0805584 0.730878i
\(461\) −388487. −1.82800 −0.913998 0.405719i \(-0.867021\pi\)
−0.913998 + 0.405719i \(0.867021\pi\)
\(462\) −16334.2 35766.9i −0.0765269 0.167571i
\(463\) 67728.7 19886.9i 0.315944 0.0927696i −0.119916 0.992784i \(-0.538262\pi\)
0.435860 + 0.900014i \(0.356444\pi\)
\(464\) −49968.6 + 57666.9i −0.232093 + 0.267849i
\(465\) 127574. 198508.i 0.590004 0.918064i
\(466\) −119251. 137623.i −0.549149 0.633751i
\(467\) −171225. + 24618.4i −0.785114 + 0.112882i −0.523201 0.852209i \(-0.675262\pi\)
−0.261913 + 0.965092i \(0.584353\pi\)
\(468\) 46806.7 + 13743.7i 0.213706 + 0.0627497i
\(469\) −92404.8 + 59384.9i −0.420096 + 0.269979i
\(470\) −85730.5 12326.2i −0.388097 0.0557999i
\(471\) 4181.20 + 1909.49i 0.0188477 + 0.00860746i
\(472\) −6900.18 + 15109.3i −0.0309725 + 0.0678204i
\(473\) −23842.3 + 165827.i −0.106568 + 0.741196i
\(474\) −14779.2 22996.9i −0.0657801 0.102356i
\(475\) −27303.5 + 92987.0i −0.121013 + 0.412131i
\(476\) 1817.25 + 12639.3i 0.00802050 + 0.0557838i
\(477\) 12182.7 10556.4i 0.0535437 0.0463959i
\(478\) 64723.9 + 41595.5i 0.283275 + 0.182050i
\(479\) 288640. + 250108.i 1.25802 + 1.09008i 0.992017 + 0.126103i \(0.0402471\pi\)
0.265999 + 0.963973i \(0.414298\pi\)
\(480\) −9742.74 33180.7i −0.0422862 0.144014i
\(481\) 127459. 58208.6i 0.550910 0.251592i
\(482\) 116244.i 0.500352i
\(483\) −54003.0 + 13937.6i −0.231485 + 0.0597440i
\(484\) −21963.9 −0.0937601
\(485\) −172333. 377357.i −0.732631 1.60424i
\(486\) 10280.1 3018.50i 0.0435235 0.0127796i
\(487\) −59978.7 + 69219.1i −0.252894 + 0.291855i −0.867974 0.496609i \(-0.834578\pi\)
0.615080 + 0.788465i \(0.289124\pi\)
\(488\) 71328.2 110989.i 0.299517 0.466058i
\(489\) 72431.5 + 83590.4i 0.302907 + 0.349574i
\(490\) 204759. 29439.9i 0.852806 0.122615i
\(491\) 118997. + 34940.8i 0.493599 + 0.144934i 0.519053 0.854742i \(-0.326285\pi\)
−0.0254536 + 0.999676i \(0.508103\pi\)
\(492\) −60976.2 + 39187.0i −0.251901 + 0.161887i
\(493\) 92836.2 + 13347.8i 0.381965 + 0.0549183i
\(494\) 77492.5 + 35389.7i 0.317546 + 0.145018i
\(495\) 54373.7 119062.i 0.221911 0.485917i
\(496\) −11250.3 + 78247.4i −0.0457298 + 0.318058i
\(497\) 60374.1 + 93943.9i 0.244421 + 0.380326i
\(498\) −37928.6 + 129173.i −0.152935 + 0.520850i
\(499\) −26639.5 185281.i −0.106985 0.744099i −0.970731 0.240171i \(-0.922797\pi\)
0.863745 0.503929i \(-0.168113\pi\)
\(500\) 22602.0 19584.7i 0.0904080 0.0783390i
\(501\) 151479. + 97349.5i 0.603499 + 0.387845i
\(502\) −164402. 142455.i −0.652378 0.565289i
\(503\) −37589.2 128017.i −0.148569 0.505978i 0.851255 0.524752i \(-0.175842\pi\)
−0.999824 + 0.0187739i \(0.994024\pi\)
\(504\) −11275.8 + 5149.49i −0.0443901 + 0.0202723i
\(505\) 183371.i 0.719031i
\(506\) −34509.4 + 194249.i −0.134783 + 0.758679i
\(507\) 116630. 0.453727
\(508\) 44698.9 + 97877.0i 0.173209 + 0.379274i
\(509\) −40730.7 + 11959.6i −0.157212 + 0.0461617i −0.359392 0.933187i \(-0.617016\pi\)
0.202179 + 0.979349i \(0.435198\pi\)
\(510\) −27835.9 + 32124.3i −0.107020 + 0.123508i
\(511\) −65980.3 + 102667.i −0.252681 + 0.393179i
\(512\) 7586.72 + 8755.54i 0.0289410 + 0.0333997i
\(513\) 18519.9 2662.76i 0.0703727 0.0101181i
\(514\) −54534.7 16012.8i −0.206418 0.0606097i
\(515\) −211131. + 135686.i −0.796044 + 0.511587i
\(516\) 52278.3 + 7516.49i 0.196346 + 0.0282303i
\(517\) 99900.6 + 45623.1i 0.373755 + 0.170688i
\(518\) −14791.2 + 32388.2i −0.0551243 + 0.120705i
\(519\) −21088.7 + 146675.i −0.0782917 + 0.544531i
\(520\) −101577. 158056.i −0.375653 0.584528i
\(521\) 113173. 385432.i 0.416934 1.41995i −0.436951 0.899485i \(-0.643942\pi\)
0.853885 0.520461i \(-0.174240\pi\)
\(522\) 12957.7 + 90122.7i 0.0475539 + 0.330745i
\(523\) −126208. + 109360.i −0.461408 + 0.399812i −0.854306 0.519770i \(-0.826018\pi\)
0.392899 + 0.919582i \(0.371472\pi\)
\(524\) 159189. + 102305.i 0.579764 + 0.372592i
\(525\) −57901.1 50171.6i −0.210072 0.182029i
\(526\) −72860.2 248139.i −0.263341 0.896858i
\(527\) 88387.5 40365.2i 0.318251 0.145340i
\(528\) 43849.8i 0.157290i
\(529\) 262717. + 96388.4i 0.938808 + 0.344440i
\(530\) −62084.8 −0.221021
\(531\) 8233.59 + 18029.1i 0.0292012 + 0.0639417i
\(532\) −20770.7 + 6098.83i −0.0733885 + 0.0215488i
\(533\) −257883. + 297613.i −0.907755 + 1.04761i
\(534\) −108290. + 168503.i −0.379758 + 0.590916i
\(535\) 11008.0 + 12703.9i 0.0384593 + 0.0443845i
\(536\) 121248. 17432.9i 0.422033 0.0606792i
\(537\) −209976. 61654.6i −0.728151 0.213805i
\(538\) −20655.8 + 13274.7i −0.0713638 + 0.0458627i
\(539\) −259637. 37330.1i −0.893693 0.128494i
\(540\) −37535.2 17141.7i −0.128721 0.0587851i
\(541\) 198478. 434607.i 0.678139 1.48492i −0.186465 0.982462i \(-0.559703\pi\)
0.864603 0.502455i \(-0.167570\pi\)
\(542\) −47959.9 + 333568.i −0.163260 + 1.13550i
\(543\) 163905. + 255041.i 0.555894 + 0.864989i
\(544\) 4011.94 13663.4i 0.0135568 0.0461701i
\(545\) 22606.1 + 157229.i 0.0761083 + 0.529345i
\(546\) −50898.0 + 44103.4i −0.170732 + 0.147940i
\(547\) −422321. 271409.i −1.41146 0.907089i −0.411467 0.911425i \(-0.634984\pi\)
−0.999991 + 0.00433574i \(0.998620\pi\)
\(548\) −191552. 165981.i −0.637860 0.552709i
\(549\) −44352.5 151051.i −0.147155 0.501163i
\(550\) −246525. + 112584.i −0.814958 + 0.372179i
\(551\) 159003.i 0.523723i
\(552\) 61238.6 + 10879.4i 0.200977 + 0.0357047i
\(553\) 37739.7 0.123409
\(554\) −77632.5 169991.i −0.252944 0.553869i
\(555\) −113724. + 33392.5i −0.369205 + 0.108408i
\(556\) −194487. + 224450.i −0.629130 + 0.726055i
\(557\) 240897. 374843.i 0.776464 1.20820i −0.197234 0.980356i \(-0.563196\pi\)
0.973698 0.227844i \(-0.0731678\pi\)
\(558\) 61771.8 + 71288.5i 0.198391 + 0.228956i
\(559\) 284029. 40837.2i 0.908947 0.130687i
\(560\) 45808.1 + 13450.5i 0.146072 + 0.0428905i
\(561\) 45342.7 29140.0i 0.144073 0.0925898i
\(562\) −321392. 46209.2i −1.01757 0.146304i
\(563\) −501679. 229109.i −1.58274 0.722812i −0.586539 0.809921i \(-0.699510\pi\)
−0.996199 + 0.0871094i \(0.972237\pi\)
\(564\) 14383.0 31494.5i 0.0452160 0.0990093i
\(565\) −78100.2 + 543199.i −0.244656 + 1.70162i
\(566\) −120836. 188025.i −0.377194 0.586925i
\(567\) −4167.23 + 14192.3i −0.0129623 + 0.0441455i
\(568\) −17723.3 123268.i −0.0549348 0.382080i
\(569\) −194102. + 168190.i −0.599522 + 0.519488i −0.900906 0.434014i \(-0.857097\pi\)
0.301384 + 0.953503i \(0.402551\pi\)
\(570\) −60621.6 38959.1i −0.186585 0.119911i
\(571\) −298870. 258972.i −0.916663 0.794293i 0.0623580 0.998054i \(-0.480138\pi\)
−0.979021 + 0.203761i \(0.934683\pi\)
\(572\) 67119.0 + 228586.i 0.205141 + 0.698648i
\(573\) −77132.4 + 35225.2i −0.234924 + 0.107286i
\(574\) 100067.i 0.303715i
\(575\) 96065.5 + 372218.i 0.290557 + 1.12580i
\(576\) 13824.0 0.0416667
\(577\) −228444. 500222.i −0.686164 1.50249i −0.855978 0.517013i \(-0.827044\pi\)
0.169814 0.985476i \(-0.445683\pi\)
\(578\) 209869. 61623.2i 0.628193 0.184454i
\(579\) −159899. + 184533.i −0.476968 + 0.550450i
\(580\) 189585. 295000.i 0.563571 0.876933i
\(581\) −121712. 140464.i −0.360564 0.416113i
\(582\) 164147. 23600.8i 0.484604 0.0696755i
\(583\) 75535.5 + 22179.2i 0.222236 + 0.0652543i
\(584\) 114494. 73581.1i 0.335706 0.215745i
\(585\) −221907. 31905.4i −0.648423 0.0932292i
\(586\) 273317. + 124820.i 0.795924 + 0.363486i
\(587\) −106191. + 232527.i −0.308186 + 0.674833i −0.998830 0.0483619i \(-0.984600\pi\)
0.690644 + 0.723195i \(0.257327\pi\)
\(588\) −11768.6 + 81852.5i −0.0340385 + 0.236743i
\(589\) 89059.1 + 138579.i 0.256713 + 0.399453i
\(590\) 21506.1 73243.2i 0.0617815 0.210409i
\(591\) −25177.9 175116.i −0.0720850 0.501362i
\(592\) 30008.9 26002.9i 0.0856263 0.0741956i
\(593\) 454845. + 292311.i 1.29346 + 0.831257i 0.992484 0.122374i \(-0.0390507\pi\)
0.300978 + 0.953631i \(0.402687\pi\)
\(594\) 39543.4 + 34264.6i 0.112073 + 0.0971119i
\(595\) −16532.9 56306.0i −0.0466999 0.159045i
\(596\) 71305.0 32563.9i 0.200737 0.0916736i
\(597\) 46962.7i 0.131766i
\(598\) 335885. 37021.8i 0.939266 0.103527i
\(599\) −356262. −0.992925 −0.496462 0.868058i \(-0.665368\pi\)
−0.496462 + 0.868058i \(0.665368\pi\)
\(600\) 35493.0 + 77718.9i 0.0985918 + 0.215886i
\(601\) −391686. + 115009.i −1.08440 + 0.318408i −0.774637 0.632406i \(-0.782067\pi\)
−0.309761 + 0.950814i \(0.600249\pi\)
\(602\) −47749.6 + 55106.0i −0.131758 + 0.152057i
\(603\) 79023.6 122963.i 0.217331 0.338174i
\(604\) −136777. 157849.i −0.374921 0.432682i
\(605\) 99910.9 14365.0i 0.272962 0.0392460i
\(606\) −70333.4 20651.8i −0.191521 0.0562357i
\(607\) 426473. 274078.i 1.15748 0.743869i 0.186367 0.982480i \(-0.440329\pi\)
0.971115 + 0.238611i \(0.0766922\pi\)
\(608\) 23895.6 + 3435.67i 0.0646415 + 0.00929404i
\(609\) −114340. 52217.4i −0.308294 0.140793i
\(610\) −251873. + 551526.i −0.676897 + 1.48220i
\(611\) 26770.7 186194.i 0.0717095 0.498751i
\(612\) −9186.60 14294.6i −0.0245274 0.0381654i
\(613\) −142544. + 485461.i −0.379340 + 1.29191i 0.519814 + 0.854280i \(0.326001\pi\)
−0.899154 + 0.437633i \(0.855817\pi\)
\(614\) −57853.3 402379.i −0.153459 1.06733i
\(615\) 251744. 218137.i 0.665592 0.576739i
\(616\) −50927.3 32729.0i −0.134211 0.0862524i
\(617\) 410202. + 355442.i 1.07752 + 0.933681i 0.998004 0.0631526i \(-0.0201155\pi\)
0.0795210 + 0.996833i \(0.474661\pi\)
\(618\) −28265.2 96262.3i −0.0740073 0.252046i
\(619\) −476152. + 217451.i −1.24269 + 0.567519i −0.924744 0.380589i \(-0.875721\pi\)
−0.317949 + 0.948108i \(0.602994\pi\)
\(620\) 363295.i 0.945098i
\(621\) 57663.2 46723.3i 0.149526 0.121157i
\(622\) 216062. 0.558467
\(623\) −114873. 251538.i −0.295967 0.648077i
\(624\) 72063.7 21159.8i 0.185075 0.0543428i
\(625\) 207417. 239372.i 0.530988 0.612793i
\(626\) −61285.2 + 95361.6i −0.156389 + 0.243346i
\(627\) 59837.5 + 69056.1i 0.152208 + 0.175658i
\(628\) 7004.86 1007.15i 0.0177615 0.00255372i
\(629\) −46830.3 13750.6i −0.118366 0.0347553i
\(630\) 47924.3 30799.1i 0.120747 0.0775991i
\(631\) −590756. 84937.9i −1.48371 0.213325i −0.647640 0.761947i \(-0.724244\pi\)
−0.836071 + 0.548621i \(0.815153\pi\)
\(632\) −38283.9 17483.7i −0.0958478 0.0437722i
\(633\) 10917.3 23905.6i 0.0272464 0.0596612i
\(634\) −47084.7 + 327482.i −0.117139 + 0.814720i
\(635\) −267344. 415996.i −0.663015 1.03167i
\(636\) 6992.17 23813.2i 0.0172861 0.0588712i
\(637\) 63939.0 + 444706.i 0.157575 + 1.09596i
\(638\) −336045. + 291184.i −0.825574 + 0.715364i
\(639\) −125011. 80339.9i −0.306159 0.196757i
\(640\) −40237.4 34865.9i −0.0982359 0.0851219i
\(641\) 8429.99 + 28709.9i 0.0205169 + 0.0698740i 0.969115 0.246609i \(-0.0793162\pi\)
−0.948598 + 0.316483i \(0.897498\pi\)
\(642\) −6112.46 + 2791.47i −0.0148302 + 0.00677271i
\(643\) 99011.6i 0.239477i −0.992805 0.119739i \(-0.961794\pi\)
0.992805 0.119739i \(-0.0382056\pi\)
\(644\) −58343.1 + 63002.4i −0.140675 + 0.151910i
\(645\) −242724. −0.583435
\(646\) −12327.0 26992.3i −0.0295387 0.0646807i
\(647\) 305174. 89607.2i 0.729019 0.214059i 0.103899 0.994588i \(-0.466868\pi\)
0.625120 + 0.780528i \(0.285050\pi\)
\(648\) 10802.2 12466.4i 0.0257254 0.0296886i
\(649\) −52330.9 + 81428.5i −0.124242 + 0.193324i
\(650\) 303984. + 350816.i 0.719489 + 0.830334i
\(651\) −128901. + 18533.1i −0.304153 + 0.0437307i
\(652\) 163391. + 47975.9i 0.384355 + 0.112857i
\(653\) 358622. 230472.i 0.841028 0.540496i −0.0477368 0.998860i \(-0.515201\pi\)
0.888764 + 0.458364i \(0.151565\pi\)
\(654\) −62852.3 9036.80i −0.146949 0.0211280i
\(655\) −791043. 361257.i −1.84382 0.842043i
\(656\) −46357.9 + 101510.i −0.107725 + 0.235885i
\(657\) 23111.9 160747.i 0.0535434 0.372402i
\(658\) 25842.4 + 40211.6i 0.0596873 + 0.0928752i
\(659\) −4913.56 + 16734.0i −0.0113142 + 0.0385328i −0.964957 0.262409i \(-0.915483\pi\)
0.953642 + 0.300942i \(0.0973011\pi\)
\(660\) −28679.1 199467.i −0.0658381 0.457914i
\(661\) 439770. 381063.i 1.00652 0.872156i 0.0147129 0.999892i \(-0.495317\pi\)
0.991808 + 0.127736i \(0.0407711\pi\)
\(662\) 247837. + 159275.i 0.565522 + 0.363439i
\(663\) −69769.4 60455.5i −0.158722 0.137534i
\(664\) 58394.9 + 198875.i 0.132446 + 0.451070i
\(665\) 90494.6 41327.5i 0.204635 0.0934535i
\(666\) 47380.7i 0.106820i
\(667\) 323280. + 541549.i 0.726653 + 1.21727i
\(668\) 277225. 0.621270
\(669\) −1871.28 4097.52i −0.00418105 0.00915523i
\(670\) −540142. + 158600.i −1.20326 + 0.353308i
\(671\) 503469. 581034.i 1.11822 1.29050i
\(672\) −10318.1 + 16055.2i −0.0228486 + 0.0355532i
\(673\) −3925.45 4530.21i −0.00866681 0.0100020i 0.751400 0.659847i \(-0.229379\pi\)
−0.760066 + 0.649845i \(0.774834\pi\)
\(674\) 183247. 26347.0i 0.403384 0.0579978i
\(675\) 97820.9 + 28722.8i 0.214696 + 0.0630404i
\(676\) 151059. 97079.5i 0.330562 0.212439i
\(677\) −232158. 33379.3i −0.506531 0.0728282i −0.115688 0.993286i \(-0.536907\pi\)
−0.390843 + 0.920457i \(0.627816\pi\)
\(678\) −199553. 91132.6i −0.434108 0.198251i
\(679\) −95107.4 + 208256.i −0.206288 + 0.451709i
\(680\) −9313.54 + 64777.1i −0.0201417 + 0.140089i
\(681\) −249906. 388862.i −0.538869 0.838497i
\(682\) −129784. + 442003.i −0.279031 + 0.950291i
\(683\) −122754. 853775.i −0.263145 1.83021i −0.508832 0.860866i \(-0.669923\pi\)
0.245687 0.969349i \(-0.420986\pi\)
\(684\) 21770.5 18864.2i 0.0465325 0.0403206i
\(685\) 979902. + 629745.i 2.08834 + 1.34210i
\(686\) −190415. 164996.i −0.404626 0.350610i
\(687\) 110712. + 377050.i 0.234574 + 0.798887i
\(688\) 73967.1 33779.6i 0.156265 0.0713638i
\(689\) 134839.i 0.284039i
\(690\) −285682. 9437.04i −0.600046 0.0198216i
\(691\) −451228. −0.945018 −0.472509 0.881326i \(-0.656652\pi\)
−0.472509 + 0.881326i \(0.656652\pi\)
\(692\) 94774.3 + 207527.i 0.197915 + 0.433373i
\(693\) −69309.8 + 20351.2i −0.144321 + 0.0423763i
\(694\) 317337. 366226.i 0.658873 0.760380i
\(695\) 737900. 1.14819e6i 1.52766 2.37709i
\(696\) 91798.2 + 105941.i 0.189503 + 0.218698i
\(697\) 135772. 19521.1i 0.279476 0.0401826i
\(698\) 182942. + 53716.7i 0.375494 + 0.110255i
\(699\) −281434. + 180867.i −0.576000 + 0.370173i
\(700\) −116755. 16786.8i −0.238275 0.0342587i
\(701\) 134553. + 61448.3i 0.273815 + 0.125047i 0.547591 0.836746i \(-0.315545\pi\)
−0.273775 + 0.961794i \(0.588272\pi\)
\(702\) 37229.4 81520.9i 0.0755460 0.165423i
\(703\) 11775.5 81900.4i 0.0238270 0.165720i
\(704\) 36499.3 + 56794.0i 0.0736443 + 0.114593i
\(705\) −44828.3 + 152671.i −0.0901933 + 0.307170i
\(706\) −96344.0 670087.i −0.193293 1.34438i
\(707\) 76481.1 66271.3i 0.153008 0.132583i
\(708\) 25671.0 + 16497.7i 0.0512125 + 0.0329123i
\(709\) 163616. + 141774.i 0.325486 + 0.282036i 0.802240 0.597001i \(-0.203641\pi\)
−0.476754 + 0.879037i \(0.658187\pi\)
\(710\) 161242. + 549139.i 0.319861 + 1.08935i
\(711\) −45682.0 + 20862.3i −0.0903662 + 0.0412688i
\(712\) 308382.i 0.608316i
\(713\) 585081. + 290913.i 1.15090 + 0.572248i
\(714\) 23458.6 0.0460157
\(715\) −454818. 995913.i −0.889664 1.94809i
\(716\) −323280. + 94923.5i −0.630598 + 0.185160i
\(717\) 92560.0 106820.i 0.180047 0.207785i
\(718\) −259.893 + 404.401i −0.000504133 + 0.000784446i
\(719\) 521506. + 601850.i 1.00879 + 1.16421i 0.986384 + 0.164459i \(0.0525878\pi\)
0.0224079 + 0.999749i \(0.492867\pi\)
\(720\) −62883.7 + 9041.30i −0.121303 + 0.0174408i
\(721\) 132896. + 39021.8i 0.255648 + 0.0750649i
\(722\) −267769. + 172085.i −0.513672 + 0.330117i
\(723\) −211380. 30391.8i −0.404377 0.0581407i
\(724\) 424578. + 193898.i 0.809990 + 0.369910i
\(725\) −359911. + 788094.i −0.684729 + 1.49935i
\(726\) −5742.43 + 39939.5i −0.0108949 + 0.0757756i
\(727\) −164900. 256590.i −0.311998 0.485479i 0.649473 0.760385i \(-0.274990\pi\)
−0.961471 + 0.274906i \(0.911353\pi\)
\(728\) −29212.4 + 99488.4i −0.0551195 + 0.187720i
\(729\) −2801.18 19482.7i −0.00527092 0.0366601i
\(730\) −472697. + 409594.i −0.887027 + 0.768613i
\(731\) −84083.7 54037.3i −0.157354 0.101125i
\(732\) −183176. 158723.i −0.341858 0.296221i
\(733\) 25410.5 + 86540.1i 0.0472939 + 0.161068i 0.979754 0.200204i \(-0.0641606\pi\)
−0.932460 + 0.361272i \(0.882342\pi\)
\(734\) 140526. 64176.1i 0.260834 0.119119i
\(735\) 380034.i 0.703473i
\(736\) 88371.5 36882.3i 0.163139 0.0680867i
\(737\) 713822. 1.31418
\(738\) 55316.2 + 121126.i 0.101564 + 0.222394i
\(739\) −813233. + 238787.i −1.48911 + 0.437241i −0.922256 0.386579i \(-0.873657\pi\)
−0.566851 + 0.823820i \(0.691838\pi\)
\(740\) −119500. + 137911.i −0.218225 + 0.251845i
\(741\) 84613.5 131661.i 0.154100 0.239785i
\(742\) 22437.8 + 25894.6i 0.0407542 + 0.0470329i
\(743\) 120297. 17296.2i 0.217911 0.0313308i −0.0324947 0.999472i \(-0.510345\pi\)
0.250405 + 0.968141i \(0.419436\pi\)
\(744\) 139345. + 40915.4i 0.251736 + 0.0739164i
\(745\) −303060. + 194765.i −0.546029 + 0.350912i
\(746\) 38110.0 + 5479.39i 0.0684796 + 0.00984589i
\(747\) 224974. + 102742.i 0.403173 + 0.184123i
\(748\) 34472.3 75483.8i 0.0616123 0.134912i
\(749\) 1320.25 9182.55i 0.00235339 0.0163682i
\(750\) −29704.0 46220.3i −0.0528071 0.0821694i
\(751\) 87819.1 299085.i 0.155707 0.530291i −0.844277 0.535907i \(-0.819970\pi\)
0.999984 + 0.00561657i \(0.00178782\pi\)
\(752\) −7586.24 52763.5i −0.0134150 0.0933034i
\(753\) −302025. + 261707.i −0.532664 + 0.461556i
\(754\) 640697. + 411751.i 1.12696 + 0.724256i
\(755\) 725420. + 628580.i 1.27261 + 1.10272i
\(756\) 6415.87 + 21850.5i 0.0112257 + 0.0382311i
\(757\) 122729. 56048.6i 0.214169 0.0978076i −0.305442 0.952211i \(-0.598804\pi\)
0.519611 + 0.854403i \(0.326077\pi\)
\(758\) 317065.i 0.551837i
\(759\) 344204. + 113539.i 0.597492 + 0.197088i
\(760\) −110945. −0.192080
\(761\) −217603. 476485.i −0.375748 0.822773i −0.999164 0.0408825i \(-0.986983\pi\)
0.623416 0.781890i \(-0.285744\pi\)
\(762\) 189668. 55691.5i 0.326651 0.0959133i
\(763\) 57407.7 66252.0i 0.0986099 0.113802i
\(764\) −70581.0 + 109826.i −0.120921 + 0.188157i
\(765\) 51137.8 + 59016.2i 0.0873815 + 0.100844i
\(766\) −201741. + 29006.0i −0.343824 + 0.0494345i
\(767\) 159074. + 46708.2i 0.270400 + 0.0793967i
\(768\) 17904.8 11506.7i 0.0303561 0.0195087i
\(769\) 734844. + 105655.i 1.24263 + 0.178664i