Properties

Label 43.5.h.a.3.4
Level 43
Weight 5
Character 43.3
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.4
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.02166 + 4.19802i) q^{2} +(-0.581783 - 0.0435986i) q^{3} +(-3.56045 - 4.46466i) q^{4} +(-5.63046 + 18.2535i) q^{5} +(1.35920 - 2.35420i) q^{6} +(-16.3870 + 9.46103i) q^{7} +(-46.7413 + 10.6684i) q^{8} +(-79.7587 - 12.0217i) q^{9} +O(q^{10})\) \(q+(-2.02166 + 4.19802i) q^{2} +(-0.581783 - 0.0435986i) q^{3} +(-3.56045 - 4.46466i) q^{4} +(-5.63046 + 18.2535i) q^{5} +(1.35920 - 2.35420i) q^{6} +(-16.3870 + 9.46103i) q^{7} +(-46.7413 + 10.6684i) q^{8} +(-79.7587 - 12.0217i) q^{9} +(-65.2457 - 60.5392i) q^{10} +(141.410 - 177.323i) q^{11} +(1.87675 + 2.75269i) q^{12} +(-146.541 + 135.970i) q^{13} +(-6.58869 - 87.9200i) q^{14} +(4.07153 - 10.3741i) q^{15} +(70.0403 - 306.867i) q^{16} +(-325.668 + 100.455i) q^{17} +(211.712 - 310.525i) q^{18} +(97.3714 + 646.017i) q^{19} +(101.543 - 39.8525i) q^{20} +(9.94616 - 4.78982i) q^{21} +(458.522 + 952.131i) q^{22} +(102.744 + 261.788i) q^{23} +(27.6584 - 4.16884i) q^{24} +(214.911 + 146.524i) q^{25} +(-274.549 - 890.067i) q^{26} +(91.9498 + 20.9869i) q^{27} +(100.585 + 39.4768i) q^{28} +(1203.65 - 90.2007i) q^{29} +(35.3194 + 38.0653i) q^{30} +(-899.830 + 613.494i) q^{31} +(546.897 + 436.136i) q^{32} +(-90.0011 + 96.9981i) q^{33} +(236.677 - 1570.25i) q^{34} +(-80.4306 - 352.390i) q^{35} +(230.304 + 398.898i) q^{36} +(-405.138 - 233.907i) q^{37} +(-2908.85 - 897.260i) q^{38} +(91.1830 - 72.7160i) q^{39} +(68.4394 - 913.261i) q^{40} +(1143.44 + 550.654i) q^{41} +51.4376i q^{42} +(1093.46 + 1491.02i) q^{43} -1295.17 q^{44} +(668.516 - 1388.19i) q^{45} +(-1306.71 - 97.9240i) q^{46} +(-1834.64 - 2300.57i) q^{47} +(-54.1272 + 175.476i) q^{48} +(-1021.48 + 1769.25i) q^{49} +(-1049.59 + 605.981i) q^{50} +(193.848 - 44.2445i) q^{51} +(1128.81 + 170.141i) q^{52} +(-1197.20 - 1110.84i) q^{53} +(-273.995 + 343.579i) q^{54} +(2440.56 + 3579.64i) q^{55} +(665.016 - 617.044i) q^{56} +(-28.4836 - 380.087i) q^{57} +(-2054.70 + 5235.29i) q^{58} +(-678.152 + 2971.18i) q^{59} +(-60.8132 + 18.7584i) q^{60} +(909.681 - 1334.26i) q^{61} +(-756.309 - 5017.78i) q^{62} +(1420.74 - 557.601i) q^{63} +(1600.85 - 770.928i) q^{64} +(-1656.84 - 3440.45i) q^{65} +(-225.249 - 573.924i) q^{66} +(5412.22 - 815.760i) q^{67} +(1608.02 + 1096.33i) q^{68} +(-48.3612 - 156.783i) q^{69} +(1641.94 + 374.763i) q^{70} +(-4553.75 - 1787.21i) q^{71} +(3856.28 - 288.988i) q^{72} +(1420.54 + 1530.98i) q^{73} +(1801.00 - 1227.90i) q^{74} +(-118.644 - 94.6150i) q^{75} +(2537.56 - 2734.84i) q^{76} +(-639.632 + 4243.68i) q^{77} +(120.922 + 529.796i) q^{78} +(-3539.75 - 6131.02i) q^{79} +(5207.03 + 3006.28i) q^{80} +(6190.59 + 1909.54i) q^{81} +(-4623.32 + 3686.97i) q^{82} +(-402.172 + 5366.61i) q^{83} +(-56.7977 - 27.3523i) q^{84} -6510.19i q^{85} +(-8469.95 + 1576.06i) q^{86} -704.193 q^{87} +(-4717.96 + 9796.94i) q^{88} +(4278.39 + 320.621i) q^{89} +(4476.13 + 5612.89i) q^{90} +(1114.95 - 3614.57i) q^{91} +(802.979 - 1390.80i) q^{92} +(550.253 - 317.689i) q^{93} +(13366.9 - 3050.90i) q^{94} +(-12340.3 - 1860.00i) q^{95} +(-299.160 - 277.580i) q^{96} +(-6001.88 + 7526.12i) q^{97} +(-5362.28 - 7865.01i) q^{98} +(-13410.4 + 12443.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.02166 + 4.19802i −0.505415 + 1.04951i 0.479671 + 0.877448i \(0.340756\pi\)
−0.985087 + 0.172058i \(0.944958\pi\)
\(3\) −0.581783 0.0435986i −0.0646425 0.00484429i 0.0423696 0.999102i \(-0.486509\pi\)
−0.107012 + 0.994258i \(0.534128\pi\)
\(4\) −3.56045 4.46466i −0.222528 0.279041i
\(5\) −5.63046 + 18.2535i −0.225218 + 0.730140i 0.770478 + 0.637466i \(0.220017\pi\)
−0.995697 + 0.0926734i \(0.970459\pi\)
\(6\) 1.35920 2.35420i 0.0377554 0.0653943i
\(7\) −16.3870 + 9.46103i −0.334428 + 0.193082i −0.657805 0.753188i \(-0.728515\pi\)
0.323377 + 0.946270i \(0.395182\pi\)
\(8\) −46.7413 + 10.6684i −0.730333 + 0.166694i
\(9\) −79.7587 12.0217i −0.984676 0.148416i
\(10\) −65.2457 60.5392i −0.652457 0.605392i
\(11\) 141.410 177.323i 1.16868 1.46548i 0.311662 0.950193i \(-0.399114\pi\)
0.857018 0.515286i \(-0.172314\pi\)
\(12\) 1.87675 + 2.75269i 0.0130330 + 0.0191159i
\(13\) −146.541 + 135.970i −0.867106 + 0.804556i −0.982012 0.188820i \(-0.939534\pi\)
0.114906 + 0.993376i \(0.463343\pi\)
\(14\) −6.58869 87.9200i −0.0336158 0.448571i
\(15\) 4.07153 10.3741i 0.0180957 0.0461070i
\(16\) 70.0403 306.867i 0.273595 1.19870i
\(17\) −325.668 + 100.455i −1.12688 + 0.347596i −0.801504 0.597989i \(-0.795967\pi\)
−0.325375 + 0.945585i \(0.605491\pi\)
\(18\) 211.712 310.525i 0.653434 0.958411i
\(19\) 97.3714 + 646.017i 0.269727 + 1.78952i 0.555804 + 0.831314i \(0.312411\pi\)
−0.286077 + 0.958207i \(0.592351\pi\)
\(20\) 101.543 39.8525i 0.253856 0.0996313i
\(21\) 9.94616 4.78982i 0.0225536 0.0108613i
\(22\) 458.522 + 952.131i 0.947360 + 1.96721i
\(23\) 102.744 + 261.788i 0.194223 + 0.494873i 0.994497 0.104761i \(-0.0334079\pi\)
−0.800274 + 0.599634i \(0.795313\pi\)
\(24\) 27.6584 4.16884i 0.0480181 0.00723757i
\(25\) 214.911 + 146.524i 0.343858 + 0.234439i
\(26\) −274.549 890.067i −0.406138 1.31667i
\(27\) 91.9498 + 20.9869i 0.126131 + 0.0287887i
\(28\) 100.585 + 39.4768i 0.128298 + 0.0503531i
\(29\) 1203.65 90.2007i 1.43121 0.107254i 0.663558 0.748125i \(-0.269046\pi\)
0.767649 + 0.640871i \(0.221426\pi\)
\(30\) 35.3194 + 38.0653i 0.0392438 + 0.0422947i
\(31\) −899.830 + 613.494i −0.936347 + 0.638391i −0.932333 0.361601i \(-0.882230\pi\)
−0.00401446 + 0.999992i \(0.501278\pi\)
\(32\) 546.897 + 436.136i 0.534079 + 0.425914i
\(33\) −90.0011 + 96.9981i −0.0826457 + 0.0890708i
\(34\) 236.677 1570.25i 0.204738 1.35835i
\(35\) −80.4306 352.390i −0.0656577 0.287665i
\(36\) 230.304 + 398.898i 0.177704 + 0.307792i
\(37\) −405.138 233.907i −0.295938 0.170860i 0.344679 0.938721i \(-0.387988\pi\)
−0.640616 + 0.767861i \(0.721321\pi\)
\(38\) −2908.85 897.260i −2.01444 0.621371i
\(39\) 91.1830 72.7160i 0.0599494 0.0478080i
\(40\) 68.4394 913.261i 0.0427746 0.570788i
\(41\) 1143.44 + 550.654i 0.680217 + 0.327575i 0.741890 0.670521i \(-0.233929\pi\)
−0.0616735 + 0.998096i \(0.519644\pi\)
\(42\) 51.4376i 0.0291596i
\(43\) 1093.46 + 1491.02i 0.591382 + 0.806392i
\(44\) −1295.17 −0.668993
\(45\) 668.516 1388.19i 0.330131 0.685525i
\(46\) −1306.71 97.9240i −0.617536 0.0462779i
\(47\) −1834.64 2300.57i −0.830531 1.04145i −0.998450 0.0556526i \(-0.982276\pi\)
0.167919 0.985801i \(-0.446295\pi\)
\(48\) −54.1272 + 175.476i −0.0234927 + 0.0761615i
\(49\) −1021.48 + 1769.25i −0.425438 + 0.736881i
\(50\) −1049.59 + 605.981i −0.419836 + 0.242392i
\(51\) 193.848 44.2445i 0.0745282 0.0170106i
\(52\) 1128.81 + 170.141i 0.417460 + 0.0629219i
\(53\) −1197.20 1110.84i −0.426203 0.395458i 0.437697 0.899123i \(-0.355794\pi\)
−0.863899 + 0.503664i \(0.831985\pi\)
\(54\) −273.995 + 343.579i −0.0939627 + 0.117825i
\(55\) 2440.56 + 3579.64i 0.806796 + 1.18335i
\(56\) 665.016 617.044i 0.212059 0.196762i
\(57\) −28.4836 380.087i −0.00876687 0.116986i
\(58\) −2054.70 + 5235.29i −0.610790 + 1.55627i
\(59\) −678.152 + 2971.18i −0.194815 + 0.853541i 0.779149 + 0.626839i \(0.215652\pi\)
−0.973964 + 0.226702i \(0.927206\pi\)
\(60\) −60.8132 + 18.7584i −0.0168926 + 0.00521067i
\(61\) 909.681 1334.26i 0.244472 0.358575i −0.684316 0.729185i \(-0.739899\pi\)
0.928788 + 0.370611i \(0.120852\pi\)
\(62\) −756.309 5017.78i −0.196751 1.30535i
\(63\) 1420.74 557.601i 0.357960 0.140489i
\(64\) 1600.85 770.928i 0.390832 0.188215i
\(65\) −1656.84 3440.45i −0.392150 0.814309i
\(66\) −225.249 573.924i −0.0517100 0.131755i
\(67\) 5412.22 815.760i 1.20566 0.181724i 0.484688 0.874687i \(-0.338933\pi\)
0.720973 + 0.692963i \(0.243695\pi\)
\(68\) 1608.02 + 1096.33i 0.347756 + 0.237096i
\(69\) −48.3612 156.783i −0.0101578 0.0329307i
\(70\) 1641.94 + 374.763i 0.335091 + 0.0764822i
\(71\) −4553.75 1787.21i −0.903342 0.354536i −0.132218 0.991221i \(-0.542210\pi\)
−0.771124 + 0.636685i \(0.780305\pi\)
\(72\) 3856.28 288.988i 0.743882 0.0557462i
\(73\) 1420.54 + 1530.98i 0.266568 + 0.287292i 0.852124 0.523340i \(-0.175314\pi\)
−0.585556 + 0.810632i \(0.699124\pi\)
\(74\) 1801.00 1227.90i 0.328890 0.224233i
\(75\) −118.644 94.6150i −0.0210922 0.0168205i
\(76\) 2537.56 2734.84i 0.439328 0.473483i
\(77\) −639.632 + 4243.68i −0.107882 + 0.715749i
\(78\) 120.922 + 529.796i 0.0198755 + 0.0870802i
\(79\) −3539.75 6131.02i −0.567176 0.982378i −0.996844 0.0793906i \(-0.974703\pi\)
0.429668 0.902987i \(-0.358631\pi\)
\(80\) 5207.03 + 3006.28i 0.813598 + 0.469731i
\(81\) 6190.59 + 1909.54i 0.943543 + 0.291045i
\(82\) −4623.32 + 3686.97i −0.687584 + 0.548330i
\(83\) −402.172 + 5366.61i −0.0583789 + 0.779012i 0.888798 + 0.458300i \(0.151541\pi\)
−0.947177 + 0.320712i \(0.896078\pi\)
\(84\) −56.7977 27.3523i −0.00804956 0.00387646i
\(85\) 6510.19i 0.901064i
\(86\) −8469.95 + 1576.06i −1.14521 + 0.213096i
\(87\) −704.193 −0.0930364
\(88\) −4717.96 + 9796.94i −0.609240 + 1.26510i
\(89\) 4278.39 + 320.621i 0.540133 + 0.0404774i 0.342004 0.939699i \(-0.388894\pi\)
0.198129 + 0.980176i \(0.436513\pi\)
\(90\) 4476.13 + 5612.89i 0.552609 + 0.692949i
\(91\) 1114.95 3614.57i 0.134639 0.436489i
\(92\) 802.979 1390.80i 0.0948699 0.164319i
\(93\) 550.253 317.689i 0.0636204 0.0367313i
\(94\) 13366.9 3050.90i 1.51277 0.345281i
\(95\) −12340.3 1860.00i −1.36735 0.206094i
\(96\) −299.160 277.580i −0.0324610 0.0301194i
\(97\) −6001.88 + 7526.12i −0.637887 + 0.799885i −0.990737 0.135795i \(-0.956641\pi\)
0.352850 + 0.935680i \(0.385213\pi\)
\(98\) −5362.28 7865.01i −0.558338 0.818931i
\(99\) −13410.4 + 12443.1i −1.36827 + 1.26957i
\(100\) −111.000 1481.20i −0.0111000 0.148120i
\(101\) 6253.82 15934.5i 0.613060 1.56205i −0.199953 0.979806i \(-0.564079\pi\)
0.813013 0.582246i \(-0.197826\pi\)
\(102\) −206.155 + 903.225i −0.0198150 + 0.0868152i
\(103\) −4595.93 + 1417.66i −0.433210 + 0.133628i −0.503688 0.863886i \(-0.668024\pi\)
0.0704778 + 0.997513i \(0.477548\pi\)
\(104\) 5398.93 7918.78i 0.499162 0.732136i
\(105\) 31.4295 + 208.521i 0.00285074 + 0.0189135i
\(106\) 7083.68 2780.14i 0.630445 0.247432i
\(107\) −4632.49 + 2230.89i −0.404620 + 0.194855i −0.625114 0.780534i \(-0.714947\pi\)
0.220494 + 0.975388i \(0.429233\pi\)
\(108\) −233.683 485.248i −0.0200346 0.0416022i
\(109\) 297.196 + 757.244i 0.0250144 + 0.0637357i 0.942835 0.333259i \(-0.108148\pi\)
−0.917821 + 0.396995i \(0.870053\pi\)
\(110\) −19961.4 + 3008.70i −1.64970 + 0.248653i
\(111\) 225.505 + 153.746i 0.0183025 + 0.0124784i
\(112\) 1755.53 + 5691.27i 0.139949 + 0.453705i
\(113\) 620.262 + 141.571i 0.0485756 + 0.0110871i 0.246740 0.969082i \(-0.420641\pi\)
−0.198164 + 0.980169i \(0.563498\pi\)
\(114\) 1653.20 + 648.832i 0.127208 + 0.0499255i
\(115\) −5357.04 + 401.454i −0.405069 + 0.0303557i
\(116\) −4688.23 5052.71i −0.348412 0.375499i
\(117\) 13322.5 9083.13i 0.973227 0.663535i
\(118\) −11102.1 8853.61i −0.797334 0.635852i
\(119\) 4386.31 4727.32i 0.309746 0.333827i
\(120\) −79.6337 + 528.335i −0.00553012 + 0.0366900i
\(121\) −8188.62 35876.7i −0.559294 2.45043i
\(122\) 3762.18 + 6516.28i 0.252766 + 0.437804i
\(123\) −641.229 370.213i −0.0423841 0.0244705i
\(124\) 5942.84 + 1833.12i 0.386501 + 0.119220i
\(125\) −13218.8 + 10541.6i −0.846002 + 0.674664i
\(126\) −531.441 + 7091.59i −0.0334745 + 0.446686i
\(127\) 17682.9 + 8515.66i 1.09635 + 0.527972i 0.892507 0.451033i \(-0.148944\pi\)
0.203838 + 0.979005i \(0.434659\pi\)
\(128\) 19471.1i 1.18842i
\(129\) −571.153 915.122i −0.0343220 0.0549920i
\(130\) 17792.7 1.05282
\(131\) 3995.87 8297.52i 0.232846 0.483510i −0.751505 0.659727i \(-0.770672\pi\)
0.984351 + 0.176217i \(0.0563861\pi\)
\(132\) 753.508 + 56.4676i 0.0432454 + 0.00324080i
\(133\) −7707.61 9665.04i −0.435729 0.546387i
\(134\) −7517.09 + 24369.8i −0.418639 + 1.35720i
\(135\) −900.804 + 1560.24i −0.0494269 + 0.0856098i
\(136\) 14150.5 8169.78i 0.765056 0.441705i
\(137\) 24868.1 5675.97i 1.32495 0.302412i 0.499221 0.866474i \(-0.333619\pi\)
0.825732 + 0.564062i \(0.190762\pi\)
\(138\) 755.949 + 113.941i 0.0396949 + 0.00598304i
\(139\) 1604.73 + 1488.97i 0.0830562 + 0.0770649i 0.720609 0.693342i \(-0.243863\pi\)
−0.637552 + 0.770407i \(0.720053\pi\)
\(140\) −1286.93 + 1613.76i −0.0656598 + 0.0823347i
\(141\) 967.062 + 1418.42i 0.0486425 + 0.0713455i
\(142\) 16708.9 15503.6i 0.828650 0.768875i
\(143\) 3388.22 + 45212.6i 0.165691 + 2.21099i
\(144\) −9275.38 + 23633.3i −0.447308 + 1.13972i
\(145\) −5130.59 + 22478.6i −0.244023 + 1.06914i
\(146\) −9298.93 + 2868.34i −0.436242 + 0.134563i
\(147\) 671.415 984.785i 0.0310711 0.0455729i
\(148\) 398.160 + 2641.62i 0.0181775 + 0.120600i
\(149\) 16425.5 6446.54i 0.739855 0.290372i 0.0346738 0.999399i \(-0.488961\pi\)
0.705181 + 0.709027i \(0.250866\pi\)
\(150\) 637.053 306.789i 0.0283135 0.0136351i
\(151\) 8875.21 + 18429.6i 0.389246 + 0.808278i 0.999866 + 0.0163546i \(0.00520605\pi\)
−0.610620 + 0.791924i \(0.709080\pi\)
\(152\) −11443.2 29156.9i −0.495293 1.26198i
\(153\) 27182.5 4097.11i 1.16120 0.175023i
\(154\) −16521.9 11264.5i −0.696658 0.474973i
\(155\) −6131.95 19879.3i −0.255232 0.827441i
\(156\) −649.305 148.200i −0.0266808 0.00608973i
\(157\) −12333.7 4840.62i −0.500374 0.196382i 0.101712 0.994814i \(-0.467568\pi\)
−0.602085 + 0.798432i \(0.705663\pi\)
\(158\) 32894.3 2465.09i 1.31767 0.0987458i
\(159\) 648.081 + 698.465i 0.0256351 + 0.0276281i
\(160\) −11040.3 + 7527.14i −0.431261 + 0.294029i
\(161\) −4160.45 3317.85i −0.160505 0.127998i
\(162\) −20531.6 + 22127.8i −0.782334 + 0.843156i
\(163\) −848.958 + 5632.47i −0.0319529 + 0.211994i −0.999110 0.0421865i \(-0.986568\pi\)
0.967157 + 0.254180i \(0.0818057\pi\)
\(164\) −1612.69 7065.67i −0.0599603 0.262703i
\(165\) −1263.81 2188.98i −0.0464208 0.0804032i
\(166\) −21716.1 12537.8i −0.788072 0.454994i
\(167\) 12324.9 + 3801.73i 0.441927 + 0.136316i 0.507730 0.861516i \(-0.330485\pi\)
−0.0658031 + 0.997833i \(0.520961\pi\)
\(168\) −413.797 + 329.992i −0.0146612 + 0.0116919i
\(169\) 852.003 11369.2i 0.0298310 0.398067i
\(170\) 27329.9 + 13161.4i 0.945672 + 0.455412i
\(171\) 52696.0i 1.80213i
\(172\) 2763.67 10190.6i 0.0934176 0.344465i
\(173\) −32311.9 −1.07962 −0.539809 0.841788i \(-0.681503\pi\)
−0.539809 + 0.841788i \(0.681503\pi\)
\(174\) 1423.64 2956.22i 0.0470220 0.0976423i
\(175\) −4908.02 367.805i −0.160262 0.0120100i
\(176\) −44510.1 55813.9i −1.43692 1.80184i
\(177\) 524.076 1699.01i 0.0167281 0.0542313i
\(178\) −9995.44 + 17312.6i −0.315473 + 0.546415i
\(179\) 7576.95 4374.56i 0.236477 0.136530i −0.377080 0.926181i \(-0.623072\pi\)
0.613556 + 0.789651i \(0.289738\pi\)
\(180\) −8578.00 + 1957.87i −0.264753 + 0.0604282i
\(181\) 8728.55 + 1315.62i 0.266431 + 0.0401580i 0.280899 0.959737i \(-0.409367\pi\)
−0.0144680 + 0.999895i \(0.504605\pi\)
\(182\) 12920.0 + 11988.0i 0.390049 + 0.361913i
\(183\) −587.408 + 736.587i −0.0175403 + 0.0219949i
\(184\) −7595.26 11140.2i −0.224340 0.329046i
\(185\) 6550.73 6078.19i 0.191402 0.177595i
\(186\) 221.239 + 2952.23i 0.00639494 + 0.0853345i
\(187\) −28239.8 + 71953.9i −0.807567 + 2.05765i
\(188\) −3739.11 + 16382.1i −0.105792 + 0.463505i
\(189\) −1705.34 + 526.028i −0.0477405 + 0.0147260i
\(190\) 32756.3 48044.6i 0.907375 1.33088i
\(191\) 6629.11 + 43981.3i 0.181714 + 1.20559i 0.874708 + 0.484650i \(0.161053\pi\)
−0.692994 + 0.720943i \(0.743709\pi\)
\(192\) −964.958 + 378.718i −0.0261762 + 0.0102734i
\(193\) −37452.4 + 18036.1i −1.00546 + 0.484204i −0.862788 0.505566i \(-0.831284\pi\)
−0.142672 + 0.989770i \(0.545569\pi\)
\(194\) −19461.0 40411.3i −0.517086 1.07374i
\(195\) 813.919 + 2073.83i 0.0214048 + 0.0545387i
\(196\) 11536.0 1738.78i 0.300292 0.0452618i
\(197\) 750.996 + 512.020i 0.0193511 + 0.0131933i 0.572957 0.819585i \(-0.305796\pi\)
−0.553606 + 0.832779i \(0.686749\pi\)
\(198\) −25124.9 81453.0i −0.640876 2.07767i
\(199\) −33282.8 7596.59i −0.840454 0.191828i −0.219438 0.975626i \(-0.570423\pi\)
−0.621016 + 0.783798i \(0.713280\pi\)
\(200\) −11608.4 4555.97i −0.290211 0.113899i
\(201\) −3184.30 + 238.630i −0.0788173 + 0.00590654i
\(202\) 54250.2 + 58467.8i 1.32953 + 1.43289i
\(203\) −18870.7 + 12865.8i −0.457927 + 0.312210i
\(204\) −887.722 707.934i −0.0213313 0.0170111i
\(205\) −16489.5 + 17771.4i −0.392373 + 0.422877i
\(206\) 3340.06 22159.8i 0.0787081 0.522194i
\(207\) −5047.61 22115.0i −0.117800 0.516115i
\(208\) 31460.9 + 54491.9i 0.727184 + 1.25952i
\(209\) 128323. + 74087.3i 2.93773 + 1.69610i
\(210\) −938.915 289.617i −0.0212906 0.00656728i
\(211\) −62573.2 + 49900.5i −1.40548 + 1.12083i −0.429472 + 0.903080i \(0.641300\pi\)
−0.976005 + 0.217750i \(0.930128\pi\)
\(212\) −696.954 + 9300.21i −0.0155072 + 0.206929i
\(213\) 2571.37 + 1238.31i 0.0566768 + 0.0272941i
\(214\) 23957.4i 0.523134i
\(215\) −33373.0 + 11564.4i −0.721968 + 0.250177i
\(216\) −4521.76 −0.0969169
\(217\) 8941.22 18566.6i 0.189879 0.394288i
\(218\) −3779.76 283.254i −0.0795337 0.00596022i
\(219\) −759.697 952.630i −0.0158399 0.0198626i
\(220\) 7292.40 23641.4i 0.150669 0.488458i
\(221\) 34064.8 59001.9i 0.697463 1.20804i
\(222\) −1101.32 + 635.850i −0.0223465 + 0.0129018i
\(223\) 60255.1 13752.8i 1.21167 0.276556i 0.431494 0.902116i \(-0.357987\pi\)
0.780176 + 0.625560i \(0.215130\pi\)
\(224\) −13088.3 1972.74i −0.260848 0.0393165i
\(225\) −15379.6 14270.2i −0.303794 0.281880i
\(226\) −1848.28 + 2317.66i −0.0361868 + 0.0453768i
\(227\) 21575.0 + 31644.7i 0.418696 + 0.614115i 0.976412 0.215918i \(-0.0692743\pi\)
−0.557715 + 0.830032i \(0.688322\pi\)
\(228\) −1595.54 + 1480.45i −0.0306930 + 0.0284789i
\(229\) 1607.83 + 21455.0i 0.0306597 + 0.409126i 0.991327 + 0.131422i \(0.0419543\pi\)
−0.960667 + 0.277704i \(0.910427\pi\)
\(230\) 9144.80 23300.6i 0.172870 0.440464i
\(231\) 557.145 2441.01i 0.0104411 0.0457452i
\(232\) −55297.7 + 17057.1i −1.02738 + 0.316905i
\(233\) 29733.0 43610.2i 0.547679 0.803298i −0.448205 0.893931i \(-0.647937\pi\)
0.995884 + 0.0906329i \(0.0288890\pi\)
\(234\) 11197.6 + 74291.2i 0.204500 + 1.35677i
\(235\) 52323.3 20535.4i 0.947457 0.371850i
\(236\) 15679.8 7551.00i 0.281525 0.135575i
\(237\) 1792.06 + 3721.25i 0.0319048 + 0.0662509i
\(238\) 10977.8 + 27970.9i 0.193803 + 0.493801i
\(239\) −11743.3 + 1770.02i −0.205587 + 0.0309872i −0.251028 0.967980i \(-0.580769\pi\)
0.0454415 + 0.998967i \(0.485531\pi\)
\(240\) −2898.29 1976.02i −0.0503175 0.0343059i
\(241\) −14837.3 48101.3i −0.255459 0.828176i −0.988921 0.148446i \(-0.952573\pi\)
0.733462 0.679731i \(-0.237903\pi\)
\(242\) 167166. + 38154.5i 2.85441 + 0.651501i
\(243\) −10629.7 4171.85i −0.180015 0.0706507i
\(244\) −9195.88 + 689.136i −0.154459 + 0.0115751i
\(245\) −26543.6 28607.2i −0.442209 0.476588i
\(246\) 2850.51 1943.45i 0.0471034 0.0321146i
\(247\) −102108. 81428.3i −1.67365 1.33469i
\(248\) 35514.3 38275.3i 0.577430 0.622322i
\(249\) 467.954 3104.67i 0.00754752 0.0500745i
\(250\) −17530.1 76804.4i −0.280482 1.22887i
\(251\) 13872.9 + 24028.5i 0.220201 + 0.381399i 0.954869 0.297028i \(-0.0959954\pi\)
−0.734668 + 0.678427i \(0.762662\pi\)
\(252\) −7547.98 4357.83i −0.118858 0.0686229i
\(253\) 60950.1 + 18800.6i 0.952211 + 0.293718i
\(254\) −71497.9 + 57017.7i −1.10822 + 0.883775i
\(255\) −283.835 + 3787.52i −0.00436501 + 0.0582471i
\(256\) −56126.5 27029.1i −0.856422 0.412431i
\(257\) 46848.9i 0.709305i 0.934998 + 0.354653i \(0.115401\pi\)
−0.934998 + 0.354653i \(0.884599\pi\)
\(258\) 4996.38 547.645i 0.0750613 0.00822734i
\(259\) 8852.00 0.131960
\(260\) −9461.39 + 19646.8i −0.139961 + 0.290633i
\(261\) −97085.6 7275.56i −1.42519 0.106803i
\(262\) 26754.9 + 33549.5i 0.389763 + 0.488747i
\(263\) −2649.99 + 8591.05i −0.0383118 + 0.124204i −0.972709 0.232030i \(-0.925463\pi\)
0.934397 + 0.356234i \(0.115939\pi\)
\(264\) 3171.96 5493.99i 0.0455113 0.0788279i
\(265\) 27017.6 15598.6i 0.384728 0.222123i
\(266\) 56156.2 12817.3i 0.793660 0.181148i
\(267\) −2475.12 373.064i −0.0347195 0.00523312i
\(268\) −22912.0 21259.2i −0.319002 0.295991i
\(269\) −62043.2 + 77799.7i −0.857412 + 1.07516i 0.138981 + 0.990295i \(0.455617\pi\)
−0.996392 + 0.0848652i \(0.972954\pi\)
\(270\) −4728.80 6935.87i −0.0648669 0.0951423i
\(271\) 1468.50 1362.57i 0.0199956 0.0185532i −0.670112 0.742260i \(-0.733754\pi\)
0.690107 + 0.723707i \(0.257563\pi\)
\(272\) 8016.49 + 106973.i 0.108354 + 1.44589i
\(273\) −806.247 + 2054.28i −0.0108179 + 0.0275635i
\(274\) −26446.9 + 115872.i −0.352269 + 1.54339i
\(275\) 56372.8 17388.7i 0.745425 0.229933i
\(276\) −527.796 + 774.134i −0.00692864 + 0.0101624i
\(277\) −2763.89 18337.2i −0.0360214 0.238986i 0.963574 0.267443i \(-0.0861788\pi\)
−0.999595 + 0.0284568i \(0.990941\pi\)
\(278\) −9494.95 + 3726.49i −0.122858 + 0.0482182i
\(279\) 79144.5 38114.0i 1.01675 0.489639i
\(280\) 7518.87 + 15613.1i 0.0959040 + 0.199147i
\(281\) −10754.6 27402.2i −0.136201 0.347034i 0.846458 0.532455i \(-0.178730\pi\)
−0.982659 + 0.185421i \(0.940635\pi\)
\(282\) −7909.63 + 1192.19i −0.0994622 + 0.0149915i
\(283\) 27896.7 + 19019.7i 0.348322 + 0.237482i 0.724824 0.688934i \(-0.241921\pi\)
−0.376502 + 0.926416i \(0.622873\pi\)
\(284\) 8234.07 + 26694.2i 0.102089 + 0.330964i
\(285\) 7098.28 + 1620.14i 0.0873904 + 0.0199463i
\(286\) −196654. 77180.8i −2.40419 0.943577i
\(287\) −23947.4 + 1794.61i −0.290733 + 0.0217874i
\(288\) −38376.7 41360.3i −0.462682 0.498653i
\(289\) 26960.2 18381.1i 0.322795 0.220078i
\(290\) −83993.3 66982.5i −0.998732 0.796462i
\(291\) 3819.92 4116.89i 0.0451095 0.0486165i
\(292\) 1777.54 11793.2i 0.0208475 0.138314i
\(293\) −29171.6 127809.i −0.339802 1.48877i −0.799485 0.600686i \(-0.794894\pi\)
0.459684 0.888083i \(-0.347963\pi\)
\(294\) 2776.78 + 4809.52i 0.0321252 + 0.0556425i
\(295\) −50416.0 29107.7i −0.579328 0.334475i
\(296\) 21432.1 + 6610.94i 0.244614 + 0.0754535i
\(297\) 16724.1 13337.0i 0.189597 0.151198i
\(298\) −6144.11 + 81987.5i −0.0691873 + 0.923241i
\(299\) −50651.5 24392.5i −0.566565 0.272844i
\(300\) 866.575i 0.00962861i
\(301\) −32025.2 14088.0i −0.353475 0.155495i
\(302\) −95310.4 −1.04502
\(303\) −4333.09 + 8997.75i −0.0471968 + 0.0980051i
\(304\) 205061. + 15367.2i 2.21889 + 0.166283i
\(305\) 19232.9 + 24117.3i 0.206750 + 0.259256i
\(306\) −37754.1 + 122396.i −0.403201 + 1.30714i
\(307\) −14395.9 + 24934.4i −0.152743 + 0.264558i −0.932235 0.361854i \(-0.882144\pi\)
0.779492 + 0.626412i \(0.215477\pi\)
\(308\) 21224.0 12253.7i 0.223730 0.129171i
\(309\) 2735.64 624.391i 0.0286511 0.00653943i
\(310\) 95850.4 + 14447.1i 0.997403 + 0.150334i
\(311\) 29700.9 + 27558.4i 0.307078 + 0.284927i 0.818625 0.574329i \(-0.194737\pi\)
−0.511547 + 0.859255i \(0.670927\pi\)
\(312\) −3486.25 + 4371.62i −0.0358137 + 0.0449090i
\(313\) −65684.1 96340.9i −0.670458 0.983382i −0.999240 0.0389759i \(-0.987590\pi\)
0.328782 0.944406i \(-0.393362\pi\)
\(314\) 45255.6 41991.1i 0.459001 0.425890i
\(315\) 2178.72 + 29073.1i 0.0219574 + 0.293001i
\(316\) −14769.8 + 37632.9i −0.147911 + 0.376872i
\(317\) −15931.0 + 69798.3i −0.158535 + 0.694586i 0.831706 + 0.555217i \(0.187365\pi\)
−0.990240 + 0.139370i \(0.955492\pi\)
\(318\) −4242.37 + 1308.60i −0.0419522 + 0.0129405i
\(319\) 154213. 226189.i 1.51545 2.22275i
\(320\) 5058.62 + 33561.8i 0.0494006 + 0.327752i
\(321\) 2792.37 1095.92i 0.0270996 0.0106358i
\(322\) 22339.4 10758.1i 0.215457 0.103759i
\(323\) −96606.6 200606.i −0.925980 1.92282i
\(324\) −13515.8 34437.7i −0.128751 0.328053i
\(325\) −51416.2 + 7749.74i −0.486781 + 0.0733704i
\(326\) −21928.9 14950.9i −0.206339 0.140680i
\(327\) −139.889 453.509i −0.00130824 0.00424121i
\(328\) −59320.7 13539.6i −0.551390 0.125851i
\(329\) 51830.1 + 20341.8i 0.478839 + 0.187931i
\(330\) 11744.4 880.119i 0.107845 0.00808190i
\(331\) 48385.8 + 52147.5i 0.441633 + 0.475967i 0.914163 0.405347i \(-0.132849\pi\)
−0.472529 + 0.881315i \(0.656659\pi\)
\(332\) 25392.0 17312.0i 0.230367 0.157062i
\(333\) 29501.4 + 23526.6i 0.266044 + 0.212163i
\(334\) −40876.5 + 44054.4i −0.366422 + 0.394909i
\(335\) −15582.8 + 103385.i −0.138853 + 0.921229i
\(336\) −773.203 3387.62i −0.00684881 0.0300066i
\(337\) 8248.67 + 14287.1i 0.0726313 + 0.125801i 0.900054 0.435779i \(-0.143527\pi\)
−0.827422 + 0.561580i \(0.810194\pi\)
\(338\) 46005.7 + 26561.4i 0.402697 + 0.232497i
\(339\) −354.685 109.406i −0.00308634 0.000952010i
\(340\) −29065.8 + 23179.2i −0.251434 + 0.200512i
\(341\) −18458.7 + 246315.i −0.158743 + 2.11827i
\(342\) 221219. + 106534.i 1.89134 + 0.910824i
\(343\) 84088.8i 0.714743i
\(344\) −67016.8 58026.7i −0.566326 0.490355i
\(345\) 3134.13 0.0263317
\(346\) 65323.6 135646.i 0.545655 1.13306i
\(347\) 88263.3 + 6614.42i 0.733029 + 0.0549329i 0.436014 0.899940i \(-0.356390\pi\)
0.297015 + 0.954873i \(0.404009\pi\)
\(348\) 2507.24 + 3143.98i 0.0207032 + 0.0259610i
\(349\) −10713.5 + 34732.2i −0.0879587 + 0.285155i −0.988856 0.148878i \(-0.952434\pi\)
0.900897 + 0.434033i \(0.142910\pi\)
\(350\) 11466.4 19860.4i 0.0936034 0.162126i
\(351\) −16328.0 + 9426.98i −0.132531 + 0.0765171i
\(352\) 154674. 35303.3i 1.24834 0.284925i
\(353\) 164216. + 24751.6i 1.31785 + 0.198634i 0.770054 0.637978i \(-0.220229\pi\)
0.547796 + 0.836612i \(0.315467\pi\)
\(354\) 6072.99 + 5634.91i 0.0484614 + 0.0449656i
\(355\) 58262.5 73058.9i 0.462309 0.579718i
\(356\) −13801.5 20243.1i −0.108900 0.159727i
\(357\) −2757.98 + 2559.03i −0.0216399 + 0.0200789i
\(358\) 3046.45 + 40652.1i 0.0237700 + 0.317188i
\(359\) −37005.3 + 94288.0i −0.287128 + 0.731590i 0.712427 + 0.701746i \(0.247596\pi\)
−0.999555 + 0.0298432i \(0.990499\pi\)
\(360\) −16437.6 + 72017.7i −0.126833 + 0.555692i
\(361\) −283325. + 87394.3i −2.17406 + 0.670608i
\(362\) −23169.2 + 33982.9i −0.176804 + 0.259324i
\(363\) 3199.82 + 21229.4i 0.0242836 + 0.161111i
\(364\) −20107.5 + 7891.62i −0.151760 + 0.0595612i
\(365\) −35944.0 + 17309.7i −0.269799 + 0.129928i
\(366\) −1904.67 3955.08i −0.0142186 0.0295252i
\(367\) 64776.7 + 165048.i 0.480935 + 1.22540i 0.941269 + 0.337657i \(0.109634\pi\)
−0.460334 + 0.887746i \(0.652270\pi\)
\(368\) 87530.2 13193.1i 0.646342 0.0974203i
\(369\) −84579.9 57665.6i −0.621176 0.423510i
\(370\) 12273.0 + 39788.2i 0.0896495 + 0.290637i
\(371\) 30128.3 + 6876.58i 0.218890 + 0.0499603i
\(372\) −3377.52 1325.58i −0.0244069 0.00957899i
\(373\) 259787. 19468.4i 1.86724 0.139930i 0.907362 0.420350i \(-0.138093\pi\)
0.959878 + 0.280419i \(0.0904735\pi\)
\(374\) −244973. 264018.i −1.75136 1.88751i
\(375\) 8150.06 5556.62i 0.0579560 0.0395137i
\(376\) 110297. + 87959.0i 0.780169 + 0.622164i
\(377\) −164119. + 176878.i −1.15472 + 1.24449i
\(378\) 1239.34 8222.50i 0.00867377 0.0575467i
\(379\) 19956.0 + 87433.1i 0.138930 + 0.608692i 0.995671 + 0.0929454i \(0.0296282\pi\)
−0.856741 + 0.515746i \(0.827515\pi\)
\(380\) 35632.7 + 61717.7i 0.246764 + 0.427408i
\(381\) −9916.36 5725.21i −0.0683129 0.0394404i
\(382\) −198036. 61086.1i −1.35712 0.418616i
\(383\) −20688.2 + 16498.3i −0.141034 + 0.112471i −0.691466 0.722409i \(-0.743035\pi\)
0.550431 + 0.834880i \(0.314463\pi\)
\(384\) 848.912 11327.9i 0.00575705 0.0768225i
\(385\) −73860.5 35569.3i −0.498300 0.239969i
\(386\) 193689.i 1.29996i
\(387\) −69288.8 132067.i −0.462638 0.881805i
\(388\) 54970.9 0.365149
\(389\) −75903.8 + 157616.i −0.501608 + 1.04160i 0.484392 + 0.874851i \(0.339041\pi\)
−0.986000 + 0.166748i \(0.946673\pi\)
\(390\) −10351.5 775.735i −0.0680570 0.00510017i
\(391\) −59758.5 74934.8i −0.390882 0.490151i
\(392\) 28870.1 93594.7i 0.187878 0.609087i
\(393\) −2686.49 + 4653.14i −0.0173940 + 0.0301273i
\(394\) −3667.73 + 2117.57i −0.0236268 + 0.0136410i
\(395\) 131843. 30092.3i 0.845011 0.192868i
\(396\) 103301. + 15570.2i 0.658741 + 0.0992893i
\(397\) −47949.9 44491.0i −0.304233 0.282287i 0.513250 0.858239i \(-0.328441\pi\)
−0.817484 + 0.575952i \(0.804632\pi\)
\(398\) 99177.3 124364.i 0.626103 0.785109i
\(399\) 4062.77 + 5958.99i 0.0255198 + 0.0374306i
\(400\) 60015.8 55686.5i 0.375099 0.348041i
\(401\) −16593.0 221418.i −0.103190 1.37697i −0.772984 0.634425i \(-0.781237\pi\)
0.669794 0.742547i \(-0.266382\pi\)
\(402\) 5435.80 13850.2i 0.0336365 0.0857045i
\(403\) 48445.1 212252.i 0.298291 1.30690i
\(404\) −93408.5 + 28812.7i −0.572300 + 0.176531i
\(405\) −69711.7 + 102248.i −0.425006 + 0.623370i
\(406\) −15860.9 105230.i −0.0962223 0.638393i
\(407\) −98767.8 + 38763.5i −0.596248 + 0.234010i
\(408\) −8588.69 + 4136.09i −0.0515949 + 0.0248468i
\(409\) 34244.5 + 71109.3i 0.204712 + 0.425089i 0.977896 0.209093i \(-0.0670512\pi\)
−0.773184 + 0.634182i \(0.781337\pi\)
\(410\) −41268.7 105151.i −0.245501 0.625526i
\(411\) −14715.3 + 2217.97i −0.0871133 + 0.0131302i
\(412\) 22692.9 + 15471.8i 0.133689 + 0.0911476i
\(413\) −16997.5 55104.7i −0.0996520 0.323064i
\(414\) 103044. + 23519.1i 0.601204 + 0.137221i
\(415\) −95695.0 37557.5i −0.555640 0.218072i
\(416\) −139444. + 10449.9i −0.805775 + 0.0603845i
\(417\) −868.686 936.221i −0.00499564 0.00538402i
\(418\) −570446. + 388923.i −3.26484 + 2.22593i
\(419\) −68545.8 54663.4i −0.390439 0.311364i 0.408521 0.912749i \(-0.366045\pi\)
−0.798960 + 0.601384i \(0.794616\pi\)
\(420\) 819.072 882.750i 0.00464326 0.00500425i
\(421\) 1121.39 7439.97i 0.00632695 0.0419766i −0.985445 0.169997i \(-0.945624\pi\)
0.991772 + 0.128020i \(0.0408623\pi\)
\(422\) −82981.5 363566.i −0.465968 2.04154i
\(423\) 118672. + 205546.i 0.663236 + 1.14876i
\(424\) 67809.8 + 39150.0i 0.377191 + 0.217771i
\(425\) −84708.9 26129.2i −0.468977 0.144660i
\(426\) −10396.9 + 8291.24i −0.0572907 + 0.0456878i
\(427\) −2283.48 + 30471.0i −0.0125240 + 0.167121i
\(428\) 26453.9 + 12739.5i 0.144412 + 0.0695451i
\(429\) 26451.6i 0.143727i
\(430\) 18921.1 163480.i 0.102332 0.884153i
\(431\) 216669. 1.16639 0.583194 0.812333i \(-0.301803\pi\)
0.583194 + 0.812333i \(0.301803\pi\)
\(432\) 12880.4 26746.4i 0.0690179 0.143317i
\(433\) 228924. + 17155.5i 1.22100 + 0.0915014i 0.669589 0.742732i \(-0.266470\pi\)
0.551412 + 0.834233i \(0.314089\pi\)
\(434\) 59867.0 + 75070.9i 0.317840 + 0.398559i
\(435\) 3964.92 12854.0i 0.0209535 0.0679296i
\(436\) 2322.68 4023.01i 0.0122185 0.0211630i
\(437\) −159115. + 91865.1i −0.833198 + 0.481047i
\(438\) 5535.01 1263.33i 0.0288516 0.00658520i
\(439\) 119611. + 18028.4i 0.620641 + 0.0935466i 0.451833 0.892102i \(-0.350770\pi\)
0.168808 + 0.985649i \(0.446008\pi\)
\(440\) −152264. 141280.i −0.786488 0.729754i
\(441\) 102741. 128833.i 0.528284 0.662447i
\(442\) 178824. + 262287.i 0.915338 + 1.34255i
\(443\) −203956. + 189243.i −1.03927 + 0.964302i −0.999391 0.0349026i \(-0.988888\pi\)
−0.0398796 + 0.999204i \(0.512697\pi\)
\(444\) −116.472 1554.21i −0.000590819 0.00788393i
\(445\) −29941.8 + 76290.4i −0.151202 + 0.385256i
\(446\) −64080.7 + 280756.i −0.322150 + 1.41143i
\(447\) −9837.15 + 3034.36i −0.0492328 + 0.0151863i
\(448\) −18939.3 + 27778.9i −0.0943644 + 0.138407i
\(449\) 48158.9 + 319513.i 0.238882 + 1.58488i 0.710901 + 0.703292i \(0.248287\pi\)
−0.472019 + 0.881588i \(0.656475\pi\)
\(450\) 90998.9 35714.4i 0.449377 0.176368i
\(451\) 259338. 124891.i 1.27501 0.614013i
\(452\) −1576.34 3273.31i −0.00771568 0.0160218i
\(453\) −4359.94 11108.9i −0.0212463 0.0541348i
\(454\) −176463. + 26597.5i −0.856133 + 0.129041i
\(455\) 59700.8 + 40703.3i 0.288375 + 0.196611i
\(456\) 5386.28 + 17461.9i 0.0259035 + 0.0839772i
\(457\) 364069. + 83096.3i 1.74322 + 0.397878i 0.971302 0.237850i \(-0.0764427\pi\)
0.771913 + 0.635728i \(0.219300\pi\)
\(458\) −93318.9 36625.0i −0.444876 0.174601i
\(459\) −32053.4 + 2402.07i −0.152142 + 0.0114015i
\(460\) 20865.8 + 22488.0i 0.0986097 + 0.106276i
\(461\) 11627.1 7927.22i 0.0547103 0.0373009i −0.535656 0.844436i \(-0.679936\pi\)
0.590366 + 0.807135i \(0.298983\pi\)
\(462\) 9121.06 + 7273.81i 0.0427328 + 0.0340783i
\(463\) 95329.3 102741.i 0.444697 0.479270i −0.470429 0.882438i \(-0.655901\pi\)
0.915126 + 0.403169i \(0.132091\pi\)
\(464\) 56624.1 375676.i 0.263006 1.74493i
\(465\) 2700.75 + 11832.8i 0.0124905 + 0.0547243i
\(466\) 122967. + 212985.i 0.566260 + 0.980792i
\(467\) −331094. 191157.i −1.51816 0.876511i −0.999772 0.0213663i \(-0.993198\pi\)
−0.518390 0.855145i \(-0.673468\pi\)
\(468\) −87987.2 27140.4i −0.401724 0.123915i
\(469\) −80972.0 + 64573.0i −0.368120 + 0.293566i
\(470\) −19572.0 + 261170.i −0.0886012 + 1.18230i
\(471\) 6964.49 + 3353.92i 0.0313941 + 0.0151186i
\(472\) 146112.i 0.655844i
\(473\) 419019. + 16949.0i 1.87289 + 0.0757569i
\(474\) −19244.8 −0.0856559
\(475\) −73730.8 + 153104.i −0.326785 + 0.678576i
\(476\) −36723.1 2752.02i −0.162078 0.0121461i
\(477\) 82133.2 + 102992.i 0.360979 + 0.452654i
\(478\) 16310.4 52877.1i 0.0713854 0.231426i
\(479\) 100442. 173971.i 0.437770 0.758240i −0.559747 0.828663i \(-0.689102\pi\)
0.997517 + 0.0704236i \(0.0224351\pi\)
\(480\) 6751.22 3897.82i 0.0293022 0.0169176i
\(481\) 91173.7 20809.8i 0.394075 0.0899451i
\(482\) 231926. + 34957.3i 0.998289 + 0.150468i
\(483\) 2275.82 + 2111.66i 0.00975539 + 0.00905168i
\(484\) −131022. + 164296.i −0.559312 + 0.701354i
\(485\) −103585. 151931.i −0.440364 0.645895i
\(486\) 39003.2 36189.7i 0.165131 0.153219i
\(487\) −10320.7 137720.i −0.0435162 0.580683i −0.975759 0.218849i \(-0.929770\pi\)
0.932243 0.361834i \(-0.117849\pi\)
\(488\) −28285.3 + 72069.8i −0.118774 + 0.302631i
\(489\) 739.476 3239.86i 0.00309248 0.0135490i
\(490\) 173756. 53596.6i 0.723682 0.223226i
\(491\) 44470.1 65225.7i 0.184461 0.270555i −0.722859 0.690996i \(-0.757172\pi\)
0.907320 + 0.420441i \(0.138125\pi\)
\(492\) 630.183 + 4180.99i 0.00260338 + 0.0172723i
\(493\) −382928. + 150288.i −1.57552 + 0.618345i
\(494\) 548265. 264031.i 2.24666 1.08193i
\(495\) −151622. 314847.i −0.618804 1.28496i
\(496\) 125236. + 319097.i 0.509058 + 1.29706i
\(497\) 91531.1 13796.1i 0.370558 0.0558526i
\(498\) 12087.4 + 8241.07i 0.0487388 + 0.0332296i
\(499\) 112125. + 363500.i 0.450299 + 1.45983i 0.841868 + 0.539684i \(0.181456\pi\)
−0.391569 + 0.920149i \(0.628068\pi\)
\(500\) 94129.6 + 21484.5i 0.376518 + 0.0859379i
\(501\) −7004.66 2749.13i −0.0279069 0.0109527i
\(502\) −128919. + 9661.11i −0.511574 + 0.0383371i
\(503\) −163801. 176536.i −0.647413 0.697745i 0.321005 0.947077i \(-0.395979\pi\)
−0.968418 + 0.249332i \(0.919789\pi\)
\(504\) −60458.7 + 41220.1i −0.238012 + 0.162274i
\(505\) 255648. + 203873.i 1.00244 + 0.799422i
\(506\) −202146. + 217861.i −0.789521 + 0.850901i
\(507\) −991.362 + 6577.25i −0.00385670 + 0.0255875i
\(508\) −24939.7 109268.i −0.0966415 0.423414i
\(509\) −240495. 416549.i −0.928261 1.60779i −0.786231 0.617932i \(-0.787971\pi\)
−0.142030 0.989862i \(-0.545363\pi\)
\(510\) −15326.3 8848.62i −0.0589245 0.0340201i
\(511\) −37763.0 11648.3i −0.144619 0.0446090i
\(512\) −16632.2 + 13263.8i −0.0634469 + 0.0505972i
\(513\) −4604.64 + 61444.7i −0.0174969 + 0.233480i
\(514\) −196673. 94712.7i −0.744420 0.358494i
\(515\) 91873.7i 0.346399i
\(516\) −2052.15 + 5808.25i −0.00770744 + 0.0218145i
\(517\) −667382. −2.49685
\(518\) −17895.7 + 37160.9i −0.0666946 + 0.138493i
\(519\) 18798.5 + 1408.75i 0.0697892 + 0.00522998i
\(520\) 114147. + 143136.i 0.422141 + 0.529348i
\(521\) −882.377 + 2860.60i −0.00325072 + 0.0105386i −0.957184 0.289481i \(-0.906517\pi\)
0.953933 + 0.300020i \(0.0969933\pi\)
\(522\) 226817. 392859.i 0.832405 1.44177i
\(523\) 230890. 133304.i 0.844115 0.487350i −0.0145455 0.999894i \(-0.504630\pi\)
0.858661 + 0.512544i \(0.171297\pi\)
\(524\) −51272.7 + 11702.7i −0.186734 + 0.0426208i
\(525\) 2839.37 + 427.966i 0.0103016 + 0.00155271i
\(526\) −30708.1 28492.9i −0.110989 0.102983i
\(527\) 231417. 290188.i 0.833248 1.04486i
\(528\) 23461.8 + 34412.1i 0.0841576 + 0.123436i
\(529\) 147161. 136546.i 0.525875 0.487941i
\(530\) 10862.9 + 144955.i 0.0386718 + 0.516039i
\(531\) 89807.1 228825.i 0.318509 0.811547i
\(532\) −15708.6 + 68823.7i −0.0555026 + 0.243173i
\(533\) −242434. + 74780.9i −0.853373 + 0.263231i
\(534\) 6569.98 9636.39i 0.0230399 0.0337934i
\(535\) −14638.5 97120.1i −0.0511433 0.339314i
\(536\) −244271. + 95869.4i −0.850243 + 0.333696i
\(537\) −4598.87 + 2214.70i −0.0159479 + 0.00768008i
\(538\) −201175. 417743.i −0.695038 1.44326i
\(539\) 169281. + 431322.i 0.582682 + 1.48465i
\(540\) 10173.2 1533.36i 0.0348875 0.00525845i
\(541\) 190217. + 129688.i 0.649913 + 0.443103i 0.842880 0.538102i \(-0.180858\pi\)
−0.192966 + 0.981205i \(0.561811\pi\)
\(542\) 2751.28 + 8919.43i 0.00936561 + 0.0303626i
\(543\) −5020.76 1145.96i −0.0170282 0.00388658i
\(544\) −221919. 87096.8i −0.749889 0.294310i
\(545\) −15495.7 + 1161.24i −0.0521697 + 0.00390958i
\(546\) −6993.97 7537.71i −0.0234606 0.0252845i
\(547\) −60511.1 + 41255.8i −0.202237 + 0.137883i −0.660204 0.751086i \(-0.729530\pi\)
0.457967 + 0.888969i \(0.348578\pi\)
\(548\) −113883. 90818.4i −0.379225 0.302422i
\(549\) −88595.0 + 95482.7i −0.293944 + 0.316796i
\(550\) −40968.5 + 271808.i −0.135433 + 0.898540i
\(551\) 175472. + 768792.i 0.577968 + 2.53225i
\(552\) 3933.09 + 6812.32i 0.0129079 + 0.0223572i
\(553\) 116012. + 66979.3i 0.379360 + 0.219023i
\(554\) 82567.6 + 25468.7i 0.269023 + 0.0829827i
\(555\) −4076.10 + 3250.58i −0.0132330 + 0.0105530i
\(556\) 934.196 12466.0i 0.00302196 0.0403252i
\(557\) −494001. 237899.i −1.59227 0.766799i −0.593011 0.805194i \(-0.702061\pi\)
−0.999263 + 0.0383957i \(0.987775\pi\)
\(558\) 409304.i 1.31455i
\(559\) −362971. 69816.7i −1.16158 0.223427i
\(560\) −113770. −0.362787
\(561\) 19566.5 40630.3i 0.0621710 0.129099i
\(562\) 136777. + 10250.0i 0.433053 + 0.0324528i
\(563\) −9070.52 11374.1i −0.0286164 0.0358839i 0.767317 0.641268i \(-0.221591\pi\)
−0.795934 + 0.605384i \(0.793020\pi\)
\(564\) 2889.59 9367.82i 0.00908401 0.0294497i
\(565\) −6076.51 + 10524.8i −0.0190352 + 0.0329699i
\(566\) −136243. + 78659.8i −0.425286 + 0.245539i
\(567\) −119511. + 27277.7i −0.371743 + 0.0848480i
\(568\) 231915. + 34955.6i 0.718840 + 0.108348i
\(569\) −21159.3 19632.9i −0.0653546 0.0606402i 0.646819 0.762643i \(-0.276099\pi\)
−0.712174 + 0.702003i \(0.752289\pi\)
\(570\) −21151.7 + 26523.4i −0.0651022 + 0.0816355i
\(571\) −266813. 391342.i −0.818341 1.20029i −0.977060 0.212962i \(-0.931689\pi\)
0.158719 0.987324i \(-0.449263\pi\)
\(572\) 189795. 176104.i 0.580088 0.538243i
\(573\) −1939.18 25876.6i −0.00590621 0.0788129i
\(574\) 40879.7 104160.i 0.124075 0.316137i
\(575\) −16277.3 + 71315.7i −0.0492320 + 0.215700i
\(576\) −136950. + 42243.3i −0.412777 + 0.127325i
\(577\) 105278. 154415.i 0.316218 0.463807i −0.634918 0.772580i \(-0.718966\pi\)
0.951136 + 0.308773i \(0.0999183\pi\)
\(578\) 22660.1 + 150340.i 0.0678275 + 0.450006i
\(579\) 22575.5 8860.23i 0.0673411 0.0264294i
\(580\) 118627. 57127.5i 0.352635 0.169820i
\(581\) −44183.3 91747.6i −0.130890 0.271796i
\(582\) 9560.23 + 24359.1i 0.0282242 + 0.0719142i
\(583\) −366275. + 55207.1i −1.07763 + 0.162427i
\(584\) −82731.0 56405.1i −0.242573 0.165384i
\(585\) 90787.0 + 294324.i 0.265285 + 0.860031i
\(586\) 595521. + 135924.i 1.73421 + 0.395823i
\(587\) 85153.4 + 33420.2i 0.247130 + 0.0969914i 0.485673 0.874141i \(-0.338575\pi\)
−0.238543 + 0.971132i \(0.576670\pi\)
\(588\) −6787.27 + 508.635i −0.0196309 + 0.00147113i
\(589\) −483945. 521568.i −1.39497 1.50342i
\(590\) 224119. 152802.i 0.643835 0.438959i
\(591\) −414.593 330.627i −0.00118699 0.000946593i
\(592\) −100154. + 107941.i −0.285776 + 0.307993i
\(593\) −54375.3 + 360757.i −0.154629 + 1.02590i 0.768066 + 0.640370i \(0.221219\pi\)
−0.922696 + 0.385529i \(0.874019\pi\)
\(594\) 22178.7 + 97171.3i 0.0628584 + 0.275401i
\(595\) 61593.1 + 106682.i 0.173980 + 0.301341i
\(596\) −87263.9 50381.8i −0.245664 0.141834i
\(597\) 19032.2 + 5870.65i 0.0533998 + 0.0164717i
\(598\) 204800. 163323.i 0.572702 0.456714i
\(599\) 18328.6 244578.i 0.0510829 0.681654i −0.911610 0.411057i \(-0.865160\pi\)
0.962693 0.270597i \(-0.0872211\pi\)
\(600\) 6554.95 + 3156.70i 0.0182082 + 0.00876860i
\(601\) 422690.i 1.17024i −0.810948 0.585118i \(-0.801048\pi\)
0.810948 0.585118i \(-0.198952\pi\)
\(602\) 123886. 105961.i 0.341844 0.292384i
\(603\) −441478. −1.21416
\(604\) 50682.0 105242.i 0.138925 0.288480i
\(605\) 700980. + 52531.2i 1.91512 + 0.143518i
\(606\) −29012.7 36380.8i −0.0790029 0.0990666i
\(607\) −43387.8 + 140660.i −0.117758 + 0.381762i −0.995193 0.0979338i \(-0.968777\pi\)
0.877435 + 0.479695i \(0.159253\pi\)
\(608\) −228499. + 395772.i −0.618126 + 1.07063i
\(609\) 11539.6 6662.39i 0.0311140 0.0179637i
\(610\) −140128. + 31983.2i −0.376586 + 0.0859533i
\(611\) 581659. + 87671.0i 1.55807 + 0.234841i
\(612\) −115074. 106773.i −0.307238 0.285075i
\(613\) 102838. 128954.i 0.273672 0.343174i −0.625934 0.779876i \(-0.715282\pi\)
0.899606 + 0.436702i \(0.143853\pi\)
\(614\) −75571.5 110843.i −0.200457 0.294016i
\(615\) 10368.1 9620.19i 0.0274125 0.0254351i
\(616\) −15376.0 205179.i −0.0405213 0.540719i
\(617\) 183574. 467739.i 0.482215 1.22866i −0.458265 0.888816i \(-0.651529\pi\)
0.940480 0.339849i \(-0.110376\pi\)
\(618\) −2909.32 + 12746.6i −0.00761755 + 0.0333746i
\(619\) 396713. 122370.i 1.03537 0.319369i 0.269931 0.962880i \(-0.412999\pi\)
0.765437 + 0.643511i \(0.222523\pi\)
\(620\) −66921.8 + 98156.2i −0.174094 + 0.255349i
\(621\) 3953.18 + 26227.6i 0.0102509 + 0.0680105i
\(622\) −175736. + 68971.3i −0.454234 + 0.178274i
\(623\) −73143.4 + 35224.0i −0.188451 + 0.0907533i
\(624\) −15927.6 33074.1i −0.0409055 0.0849412i
\(625\) −58601.1 149313.i −0.150019 0.382242i
\(626\) 537233. 80974.8i 1.37092 0.206634i
\(627\) −71426.0 48697.4i −0.181686 0.123871i
\(628\) 22301.8 + 72300.6i 0.0565484 + 0.183325i
\(629\) 155438. + 35477.7i 0.392876 + 0.0896714i
\(630\) −126454. 49629.6i −0.318604 0.125043i
\(631\) −211649. + 15860.9i −0.531566 + 0.0398354i −0.337810 0.941214i \(-0.609686\pi\)
−0.193756 + 0.981050i \(0.562067\pi\)
\(632\) 230861. + 248809.i 0.577984 + 0.622919i
\(633\) 38579.6 26303.1i 0.0962832 0.0656448i
\(634\) −260808. 207987.i −0.648847 0.517438i
\(635\) −255004. + 274828.i −0.632410 + 0.681576i
\(636\) 810.952 5380.31i 0.00200484 0.0133013i
\(637\) −90877.0 398158.i −0.223962 0.981243i
\(638\) 637781. + 1.10467e6i 1.56686 + 2.71388i
\(639\) 341716. + 197290.i 0.836880 + 0.483173i
\(640\) −355415. 109631.i −0.867713 0.267654i
\(641\) 12604.8 10052.0i 0.0306775 0.0244645i −0.608031 0.793913i \(-0.708040\pi\)
0.638709 + 0.769449i \(0.279469\pi\)
\(642\) −1044.51 + 13938.0i −0.00253421 + 0.0338167i
\(643\) 64517.2 + 31069.9i 0.156046 + 0.0751480i 0.510277 0.860010i \(-0.329543\pi\)
−0.354231 + 0.935158i \(0.615257\pi\)
\(644\) 30388.0i 0.0732708i
\(645\) 19920.0 5272.97i 0.0478818 0.0126747i
\(646\) 1.03745e6 2.48601
\(647\) −109325. + 227017.i −0.261163 + 0.542312i −0.989779 0.142612i \(-0.954450\pi\)
0.728615 + 0.684923i \(0.240164\pi\)
\(648\) −309728. 23210.9i −0.737617 0.0552767i
\(649\) 430960. + 540407.i 1.02317 + 1.28301i
\(650\) 71412.5 231514.i 0.169024 0.547962i
\(651\) −6011.33 + 10411.9i −0.0141843 + 0.0245679i
\(652\) 28169.7 16263.8i 0.0662655 0.0382584i
\(653\) −622161. + 142004.i −1.45907 + 0.333024i −0.877148 0.480220i \(-0.840557\pi\)
−0.581923 + 0.813244i \(0.697700\pi\)
\(654\) 2186.65 + 329.584i 0.00511238 + 0.000770568i
\(655\) 128960. + 119657.i 0.300589 + 0.278906i
\(656\) 249065. 312317.i 0.578768 0.725752i
\(657\) −94895.5 139186.i −0.219844 0.322452i
\(658\) −190178. + 176460.i −0.439247 + 0.407562i
\(659\) 12582.0 + 167896.i 0.0289721 + 0.386606i 0.992775 + 0.119990i \(0.0382864\pi\)
−0.963803 + 0.266616i \(0.914095\pi\)
\(660\) −5273.33 + 13436.2i −0.0121059 + 0.0308453i
\(661\) −41143.9 + 180263.i −0.0941678 + 0.412576i −0.999937 0.0111946i \(-0.996437\pi\)
0.905770 + 0.423771i \(0.139294\pi\)
\(662\) −316736. + 97700.1i −0.722739 + 0.222935i
\(663\) −22390.7 + 32841.1i −0.0509378 + 0.0747121i
\(664\) −38455.2 255133.i −0.0872205 0.578670i
\(665\) 219818. 86272.2i 0.497073 0.195087i
\(666\) −158407. + 76284.7i −0.357129 + 0.171984i
\(667\) 147281. + 305832.i 0.331051 + 0.687435i
\(668\) −26908.7 68562.4i −0.0603032 0.153650i
\(669\) −35655.0 + 5374.12i −0.0796651 + 0.0120076i
\(670\) −402509. 274426.i −0.896657 0.611330i
\(671\) −107956. 349985.i −0.239774 0.777328i
\(672\) 7528.53 + 1718.34i 0.0166714 + 0.00380514i
\(673\) 137133. + 53820.8i 0.302770 + 0.118828i 0.511862 0.859067i \(-0.328956\pi\)
−0.209093 + 0.977896i \(0.567051\pi\)
\(674\) −76653.6 + 5744.40i −0.168738 + 0.0126452i
\(675\) 16686.0 + 17983.2i 0.0366222 + 0.0394693i
\(676\) −53793.1 + 36675.5i −0.117715 + 0.0802570i
\(677\) 336537. + 268380.i 0.734270 + 0.585561i 0.917607 0.397489i \(-0.130118\pi\)
−0.183337 + 0.983050i \(0.558690\pi\)
\(678\) 1176.34 1267.80i 0.00255902 0.00275797i
\(679\) 27147.9 180114.i 0.0588839 0.390669i
\(680\) 69453.3 + 304295.i 0.150202 + 0.658077i
\(681\) −11172.3 19351.0i −0.0240906 0.0417262i
\(682\) −996718. 575455.i −2.14291 1.23721i
\(683\) −182553. 56310.2i −0.391334 0.120711i 0.0928425 0.995681i \(-0.470405\pi\)
−0.484177 + 0.874970i \(0.660881\pi\)
\(684\) −235270. + 187622.i −0.502868 + 0.401024i
\(685\) −36412.2 + 485887.i −0.0776007 + 1.03551i
\(686\) 353007. + 169999.i 0.750127 + 0.361242i
\(687\) 12552.2i 0.0265954i
\(688\) 534130. 231116.i 1.12842 0.488263i
\(689\) 326481. 0.687731
\(690\) −6336.16 + 13157.2i −0.0133085 + 0.0276353i
\(691\) −39028.4 2924.78i −0.0817382 0.00612543i 0.0337982 0.999429i \(-0.489240\pi\)
−0.115536 + 0.993303i \(0.536859\pi\)
\(692\) 115045. + 144261.i 0.240245 + 0.301258i
\(693\) 102032. 330781.i 0.212457 0.688770i
\(694\) −206206. + 357159.i −0.428136 + 0.741554i
\(695\) −36214.3 + 20908.3i −0.0749739 + 0.0432862i
\(696\) 32914.9 7512.61i 0.0679476 0.0155086i
\(697\) −427700. 64465.3i −0.880386 0.132697i
\(698\) −124148. 115192.i −0.254816 0.236435i
\(699\) −19199.5 + 24075.4i −0.0392948 + 0.0492741i
\(700\) 15832.6 + 23222.2i 0.0323115 + 0.0473922i
\(701\) 376332. 349185.i 0.765835 0.710591i −0.197083 0.980387i \(-0.563147\pi\)
0.962918 + 0.269796i \(0.0869562\pi\)
\(702\) −6564.97 87603.5i −0.0133217 0.177765i
\(703\) 111659. 284502.i 0.225934 0.575672i
\(704\) 89673.3 392885.i 0.180933 0.792720i
\(705\) −31336.1 + 9665.91i −0.0630474 + 0.0194475i
\(706\) −435897. + 639343.i −0.874529 + 1.28270i
\(707\) 48275.3 + 320286.i 0.0965798 + 0.640765i
\(708\) −9451.46 + 3709.42i −0.0188553 + 0.00740014i
\(709\) 117368. 56521.7i 0.233485 0.112440i −0.313483 0.949594i \(-0.601496\pi\)
0.546968 + 0.837153i \(0.315782\pi\)
\(710\) 188916. + 392288.i 0.374759 + 0.778195i
\(711\) 208620. + 531556.i 0.412684 + 1.05150i
\(712\) −203398. + 30657.4i −0.401225 + 0.0604749i
\(713\) −253057. 172532.i −0.497783 0.339383i
\(714\) −5167.18 16751.6i −0.0101358 0.0328594i
\(715\) −844365. 192721.i −1.65165 0.376979i
\(716\) −46508.3 18253.1i −0.0907202 0.0356051i
\(717\) 6909.23 517.775i 0.0134397 0.00100717i
\(718\) −321011. 345968.i −0.622689 0.671099i
\(719\) −651341. + 444077.i −1.25994 + 0.859014i −0.994461 0.105102i \(-0.966483\pi\)
−0.265481 + 0.964116i \(0.585531\pi\)
\(720\) −379165. 302374.i −0.731415 0.583284i
\(721\) 61900.9 66713.3i 0.119077 0.128334i
\(722\) 205905. 1.36609e6i 0.394995 2.62062i
\(723\) 6534.93 + 28631.4i 0.0125016 + 0.0547729i
\(724\) −25203.8 43654.2i −0.0480826 0.0832815i
\(725\) 271894. + 156978.i 0.517277 + 0.298650i
\(726\) −95590.7 29485.8i −0.181360 0.0559423i
\(727\) 426573. 340181.i 0.807095 0.643637i −0.130468 0.991453i \(-0.541648\pi\)
0.937563 + 0.347815i \(0.113076\pi\)
\(728\) −13552.4 + 180844.i −0.0255714 + 0.341226i
\(729\) −466782. 224790.i −0.878332 0.422983i
\(730\) 185888.i 0.348823i
\(731\) −505887. 375733.i −0.946715 0.703144i
\(732\) 5380.05 0.0100407
\(733\) 315045. 654197.i 0.586360 1.21759i −0.370985 0.928639i \(-0.620980\pi\)
0.957344 0.288949i \(-0.0933060\pi\)
\(734\) −823833. 61737.8i −1.52914 0.114593i
\(735\) 14195.4 + 17800.5i 0.0262768 + 0.0329501i
\(736\) −57984.6 + 187981.i −0.107043 + 0.347024i
\(737\) 620690. 1.07507e6i 1.14272 1.97925i
\(738\) 413073. 238488.i 0.758428 0.437879i
\(739\) 461505. 105335.i 0.845060 0.192879i 0.221993 0.975048i \(-0.428744\pi\)
0.623066 + 0.782169i \(0.285887\pi\)
\(740\) −50460.6 7605.71i −0.0921486 0.0138892i
\(741\) 55854.4 + 51825.3i 0.101723 + 0.0943856i
\(742\) −89777.2 + 112577.i −0.163064 + 0.204476i
\(743\) 490945. + 720084.i 0.889314 + 1.30438i 0.951920 + 0.306345i \(0.0991063\pi\)
−0.0626066 + 0.998038i \(0.519941\pi\)
\(744\) −22330.3 + 20719.5i −0.0403412 + 0.0374312i
\(745\) 25188.7 + 336120.i 0.0453830 + 0.605595i
\(746\) −443473. + 1.12995e6i −0.796874 + 2.03040i
\(747\) 96592.5 423200.i 0.173102 0.758410i
\(748\) 421796. 130107.i 0.753875 0.232540i
\(749\) 54806.1 80385.8i 0.0976934 0.143290i
\(750\) 6850.15 + 45447.7i 0.0121780 + 0.0807960i
\(751\) −492054. + 193117.i −0.872435 + 0.342405i −0.758961 0.651136i \(-0.774293\pi\)
−0.113473 + 0.993541i \(0.536198\pi\)
\(752\) −834467. + 401858.i −1.47562 + 0.710620i
\(753\) −7023.39 14584.2i −0.0123867 0.0257213i
\(754\) −410745. 1.04656e6i −0.722486 1.84086i
\(755\) −386375. + 58236.7i −0.677821 + 0.102165i
\(756\) 8420.31 + 5740.87i 0.0147328 + 0.0100446i
\(757\) 91082.6 + 295283.i 0.158944 +