Properties

Label 177.4.f.a.2.7
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.7
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.247929 + 4.57278i) q^{2} +(0.343239 - 5.18480i) q^{3} +(-12.8957 - 1.40250i) q^{4} +(2.38761 - 7.08619i) q^{5} +(23.6239 + 2.85502i) q^{6} +(6.25613 + 9.22711i) q^{7} +(3.68350 - 22.4684i) q^{8} +(-26.7644 - 3.55926i) q^{9} +O(q^{10})\) \(q+(-0.247929 + 4.57278i) q^{2} +(0.343239 - 5.18480i) q^{3} +(-12.8957 - 1.40250i) q^{4} +(2.38761 - 7.08619i) q^{5} +(23.6239 + 2.85502i) q^{6} +(6.25613 + 9.22711i) q^{7} +(3.68350 - 22.4684i) q^{8} +(-26.7644 - 3.55926i) q^{9} +(31.8116 + 12.6749i) q^{10} +(-53.6150 + 11.8016i) q^{11} +(-11.6980 + 66.3805i) q^{12} +(-13.5489 + 11.5086i) q^{13} +(-43.7446 + 26.3203i) q^{14} +(-35.9210 - 14.8116i) q^{15} +(0.481500 + 0.105986i) q^{16} +(-81.8632 - 55.5046i) q^{17} +(22.9114 - 121.505i) q^{18} +(53.5774 - 101.058i) q^{19} +(-40.7284 + 88.0331i) q^{20} +(49.9881 - 29.2697i) q^{21} +(-40.6732 - 248.096i) q^{22} +(-24.9926 + 23.6743i) q^{23} +(-115.230 - 26.8103i) q^{24} +(54.9983 + 41.8086i) q^{25} +(-49.2670 - 64.8097i) q^{26} +(-27.6406 + 137.546i) q^{27} +(-67.7365 - 127.765i) q^{28} +(-162.541 + 8.81273i) q^{29} +(76.6359 - 160.587i) q^{30} +(-209.268 + 110.947i) q^{31} +(48.1253 - 173.332i) q^{32} +(42.7860 + 282.034i) q^{33} +(274.107 - 360.581i) q^{34} +(80.3222 - 22.3014i) q^{35} +(340.155 + 83.4362i) q^{36} +(-214.379 + 35.1457i) q^{37} +(448.832 + 270.053i) q^{38} +(55.0192 + 74.1988i) q^{39} +(-150.420 - 79.7478i) q^{40} +(-46.9311 + 49.5445i) q^{41} +(121.450 + 235.841i) q^{42} +(52.2623 - 237.430i) q^{43} +(707.957 - 76.9950i) q^{44} +(-89.1246 + 181.159i) q^{45} +(-102.061 - 120.155i) q^{46} +(495.188 - 166.848i) q^{47} +(0.714788 - 2.46011i) q^{48} +(80.9571 - 203.187i) q^{49} +(-204.817 + 241.129i) q^{50} +(-315.879 + 405.393i) q^{51} +(190.865 - 129.409i) q^{52} +(224.255 - 89.3512i) q^{53} +(-622.116 - 160.496i) q^{54} +(-44.3839 + 408.104i) q^{55} +(230.362 - 106.577i) q^{56} +(-505.575 - 312.475i) q^{57} -745.450i q^{58} +(-347.008 + 291.486i) q^{59} +(442.455 + 241.385i) q^{60} +(-198.876 - 10.7827i) q^{61} +(-455.453 - 984.445i) q^{62} +(-134.600 - 269.225i) q^{63} +(784.414 + 264.300i) q^{64} +(49.2023 + 123.488i) q^{65} +(-1300.29 + 125.726i) q^{66} +(-397.500 - 65.1668i) q^{67} +(977.842 + 830.587i) q^{68} +(114.168 + 137.708i) q^{69} +(82.0650 + 372.825i) q^{70} +(-121.812 - 361.526i) q^{71} +(-178.557 + 588.241i) q^{72} +(316.865 + 526.633i) q^{73} +(-107.563 - 989.024i) q^{74} +(235.647 - 270.805i) q^{75} +(-832.654 + 1228.07i) q^{76} +(-444.317 - 420.879i) q^{77} +(-352.936 + 233.195i) q^{78} +(137.508 + 63.6181i) q^{79} +(1.90068 - 3.15895i) q^{80} +(703.663 + 190.523i) q^{81} +(-214.921 - 226.889i) q^{82} +(246.195 + 886.715i) q^{83} +(-685.684 + 307.347i) q^{84} +(-588.774 + 447.574i) q^{85} +(1072.76 + 297.850i) q^{86} +(-10.0983 + 845.769i) q^{87} +(67.6707 + 1248.11i) q^{88} +(-3.19526 - 58.9332i) q^{89} +(-806.305 - 452.462i) q^{90} +(-190.955 - 53.0184i) q^{91} +(355.502 - 270.245i) q^{92} +(503.409 + 1123.10i) q^{93} +(640.189 + 2305.75i) q^{94} +(-588.192 - 620.947i) q^{95} +(-882.172 - 309.014i) q^{96} +(98.2810 - 163.344i) q^{97} +(909.058 + 420.575i) q^{98} +(1476.98 - 125.032i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.247929 + 4.57278i −0.0876561 + 1.61672i 0.542364 + 0.840143i \(0.317529\pi\)
−0.630020 + 0.776579i \(0.716953\pi\)
\(3\) 0.343239 5.18480i 0.0660564 0.997816i
\(4\) −12.8957 1.40250i −1.61197 0.175312i
\(5\) 2.38761 7.08619i 0.213555 0.633808i −0.786317 0.617823i \(-0.788015\pi\)
0.999872 0.0159853i \(-0.00508850\pi\)
\(6\) 23.6239 + 2.85502i 1.60740 + 0.194260i
\(7\) 6.25613 + 9.22711i 0.337799 + 0.498217i 0.958212 0.286059i \(-0.0923452\pi\)
−0.620413 + 0.784276i \(0.713035\pi\)
\(8\) 3.68350 22.4684i 0.162789 0.992971i
\(9\) −26.7644 3.55926i −0.991273 0.131824i
\(10\) 31.8116 + 12.6749i 1.00597 + 0.400816i
\(11\) −53.6150 + 11.8016i −1.46959 + 0.323482i −0.876402 0.481579i \(-0.840063\pi\)
−0.593191 + 0.805061i \(0.702132\pi\)
\(12\) −11.6980 + 66.3805i −0.281410 + 1.59687i
\(13\) −13.5489 + 11.5086i −0.289062 + 0.245531i −0.780170 0.625567i \(-0.784868\pi\)
0.491109 + 0.871098i \(0.336592\pi\)
\(14\) −43.7446 + 26.3203i −0.835088 + 0.502456i
\(15\) −35.9210 14.8116i −0.618317 0.254955i
\(16\) 0.481500 + 0.105986i 0.00752344 + 0.00165604i
\(17\) −81.8632 55.5046i −1.16793 0.791873i −0.186263 0.982500i \(-0.559638\pi\)
−0.981663 + 0.190626i \(0.938948\pi\)
\(18\) 22.9114 121.505i 0.300014 1.59106i
\(19\) 53.5774 101.058i 0.646921 1.22022i −0.315568 0.948903i \(-0.602195\pi\)
0.962489 0.271320i \(-0.0874602\pi\)
\(20\) −40.7284 + 88.0331i −0.455358 + 0.984240i
\(21\) 49.9881 29.2697i 0.519443 0.304151i
\(22\) −40.6732 248.096i −0.394162 2.40428i
\(23\) −24.9926 + 23.6743i −0.226579 + 0.214627i −0.792564 0.609788i \(-0.791255\pi\)
0.565985 + 0.824415i \(0.308496\pi\)
\(24\) −115.230 26.8103i −0.980049 0.228026i
\(25\) 54.9983 + 41.8086i 0.439986 + 0.334469i
\(26\) −49.2670 64.8097i −0.371618 0.488855i
\(27\) −27.6406 + 137.546i −0.197016 + 0.980400i
\(28\) −67.7365 127.765i −0.457179 0.862330i
\(29\) −162.541 + 8.81273i −1.04080 + 0.0564304i −0.566604 0.823990i \(-0.691743\pi\)
−0.474194 + 0.880421i \(0.657260\pi\)
\(30\) 76.6359 160.587i 0.466391 0.977298i
\(31\) −209.268 + 110.947i −1.21244 + 0.642796i −0.946970 0.321323i \(-0.895873\pi\)
−0.265472 + 0.964119i \(0.585528\pi\)
\(32\) 48.1253 173.332i 0.265857 0.957531i
\(33\) 42.7860 + 282.034i 0.225699 + 1.48775i
\(34\) 274.107 360.581i 1.38262 1.81880i
\(35\) 80.3222 22.3014i 0.387913 0.107703i
\(36\) 340.155 + 83.4362i 1.57479 + 0.386279i
\(37\) −214.379 + 35.1457i −0.952534 + 0.156160i −0.617960 0.786210i \(-0.712041\pi\)
−0.334574 + 0.942370i \(0.608592\pi\)
\(38\) 448.832 + 270.053i 1.91606 + 1.15285i
\(39\) 55.0192 + 74.1988i 0.225901 + 0.304649i
\(40\) −150.420 79.7478i −0.594588 0.315231i
\(41\) −46.9311 + 49.5445i −0.178766 + 0.188721i −0.809220 0.587506i \(-0.800110\pi\)
0.630454 + 0.776226i \(0.282869\pi\)
\(42\) 121.450 + 235.841i 0.446196 + 0.866455i
\(43\) 52.2623 237.430i 0.185347 0.842041i −0.788536 0.614989i \(-0.789160\pi\)
0.973883 0.227052i \(-0.0729086\pi\)
\(44\) 707.957 76.9950i 2.42565 0.263805i
\(45\) −89.1246 + 181.159i −0.295242 + 0.600125i
\(46\) −102.061 120.155i −0.327132 0.385129i
\(47\) 495.188 166.848i 1.53682 0.517815i 0.581541 0.813517i \(-0.302450\pi\)
0.955280 + 0.295702i \(0.0955535\pi\)
\(48\) 0.714788 2.46011i 0.00214939 0.00739762i
\(49\) 80.9571 203.187i 0.236027 0.592382i
\(50\) −204.817 + 241.129i −0.579311 + 0.682017i
\(51\) −315.879 + 405.393i −0.867293 + 1.11307i
\(52\) 190.865 129.409i 0.509003 0.345113i
\(53\) 224.255 89.3512i 0.581203 0.231572i −0.0609607 0.998140i \(-0.519416\pi\)
0.642163 + 0.766568i \(0.278037\pi\)
\(54\) −622.116 160.496i −1.56776 0.404459i
\(55\) −44.3839 + 408.104i −0.108813 + 1.00052i
\(56\) 230.362 106.577i 0.549705 0.254321i
\(57\) −505.575 312.475i −1.17482 0.726112i
\(58\) 745.450i 1.68763i
\(59\) −347.008 + 291.486i −0.765706 + 0.643191i
\(60\) 442.455 + 241.385i 0.952011 + 0.519379i
\(61\) −198.876 10.7827i −0.417434 0.0226326i −0.155774 0.987793i \(-0.549787\pi\)
−0.261660 + 0.965160i \(0.584270\pi\)
\(62\) −455.453 984.445i −0.932944 2.01653i
\(63\) −134.600 269.225i −0.269174 0.538399i
\(64\) 784.414 + 264.300i 1.53206 + 0.516210i
\(65\) 49.2023 + 123.488i 0.0938892 + 0.235644i
\(66\) −1300.29 + 125.726i −2.42507 + 0.234483i
\(67\) −397.500 65.1668i −0.724811 0.118827i −0.211928 0.977285i \(-0.567974\pi\)
−0.512883 + 0.858459i \(0.671422\pi\)
\(68\) 977.842 + 830.587i 1.74383 + 1.48123i
\(69\) 114.168 + 137.708i 0.199191 + 0.240262i
\(70\) 82.0650 + 372.825i 0.140124 + 0.636588i
\(71\) −121.812 361.526i −0.203612 0.604299i 0.796388 0.604786i \(-0.206742\pi\)
−1.00000 0.000487081i \(0.999845\pi\)
\(72\) −178.557 + 588.241i −0.292266 + 0.962846i
\(73\) 316.865 + 526.633i 0.508030 + 0.844353i 0.999650 0.0264572i \(-0.00842257\pi\)
−0.491620 + 0.870810i \(0.663595\pi\)
\(74\) −107.563 989.024i −0.168972 1.55367i
\(75\) 235.647 270.805i 0.362802 0.416931i
\(76\) −832.654 + 1228.07i −1.25674 + 1.85355i
\(77\) −444.317 420.879i −0.657592 0.622904i
\(78\) −352.936 + 233.195i −0.512335 + 0.338514i
\(79\) 137.508 + 63.6181i 0.195834 + 0.0906025i 0.515355 0.856977i \(-0.327660\pi\)
−0.319521 + 0.947579i \(0.603522\pi\)
\(80\) 1.90068 3.15895i 0.00265628 0.00441476i
\(81\) 703.663 + 190.523i 0.965245 + 0.261348i
\(82\) −214.921 226.889i −0.289439 0.305557i
\(83\) 246.195 + 886.715i 0.325583 + 1.17265i 0.927419 + 0.374025i \(0.122023\pi\)
−0.601835 + 0.798620i \(0.705564\pi\)
\(84\) −685.684 + 307.347i −0.890647 + 0.399218i
\(85\) −588.774 + 447.574i −0.751312 + 0.571132i
\(86\) 1072.76 + 297.850i 1.34510 + 0.373465i
\(87\) −10.0983 + 845.769i −0.0124442 + 1.04225i
\(88\) 67.6707 + 1248.11i 0.0819741 + 1.51192i
\(89\) −3.19526 58.9332i −0.00380559 0.0701899i 0.996014 0.0892004i \(-0.0284312\pi\)
−0.999819 + 0.0190105i \(0.993948\pi\)
\(90\) −806.305 452.462i −0.944356 0.529930i
\(91\) −190.955 53.0184i −0.219973 0.0610751i
\(92\) 355.502 270.245i 0.402865 0.306250i
\(93\) 503.409 + 1123.10i 0.561302 + 1.25225i
\(94\) 640.189 + 2305.75i 0.702452 + 2.53000i
\(95\) −588.192 620.947i −0.635234 0.670608i
\(96\) −882.172 309.014i −0.937878 0.328528i
\(97\) 98.2810 163.344i 0.102875 0.170980i −0.801144 0.598472i \(-0.795775\pi\)
0.904019 + 0.427491i \(0.140603\pi\)
\(98\) 909.058 + 420.575i 0.937028 + 0.433515i
\(99\) 1476.98 125.032i 1.49941 0.126931i
\(100\) −650.607 616.288i −0.650607 0.616288i
\(101\) −872.726 + 1287.17i −0.859797 + 1.26811i 0.102122 + 0.994772i \(0.467437\pi\)
−0.961919 + 0.273334i \(0.911874\pi\)
\(102\) −1775.46 1544.96i −1.72350 1.49974i
\(103\) −99.4995 914.883i −0.0951843 0.875205i −0.940237 0.340521i \(-0.889396\pi\)
0.845053 0.534683i \(-0.179569\pi\)
\(104\) 208.671 + 346.815i 0.196749 + 0.327000i
\(105\) −88.0584 424.110i −0.0818440 0.394180i
\(106\) 352.984 + 1047.62i 0.323442 + 0.959942i
\(107\) −8.46663 38.4643i −0.00764953 0.0347522i 0.972641 0.232312i \(-0.0746292\pi\)
−0.980291 + 0.197560i \(0.936698\pi\)
\(108\) 549.355 1735.00i 0.489460 1.54584i
\(109\) 300.520 + 255.264i 0.264079 + 0.224311i 0.769637 0.638482i \(-0.220437\pi\)
−0.505558 + 0.862793i \(0.668713\pi\)
\(110\) −1855.16 304.139i −1.60803 0.263623i
\(111\) 108.640 + 1123.58i 0.0928979 + 0.960769i
\(112\) 2.03438 + 5.10592i 0.00171635 + 0.00430771i
\(113\) −53.2647 17.9470i −0.0443427 0.0149408i 0.297043 0.954864i \(-0.404000\pi\)
−0.341385 + 0.939923i \(0.610896\pi\)
\(114\) 1554.23 2234.41i 1.27690 1.83572i
\(115\) 108.088 + 233.627i 0.0876454 + 0.189442i
\(116\) 2108.45 + 114.317i 1.68763 + 0.0915004i
\(117\) 403.591 259.796i 0.318906 0.205283i
\(118\) −1246.87 1659.06i −0.972742 1.29431i
\(119\) 1102.60i 0.849375i
\(120\) −465.107 + 752.527i −0.353819 + 0.572467i
\(121\) 1527.31 706.608i 1.14749 0.530885i
\(122\) 98.6142 906.743i 0.0731813 0.672890i
\(123\) 240.770 + 260.334i 0.176500 + 0.190842i
\(124\) 2854.27 1137.25i 2.06711 0.823611i
\(125\) 1201.22 814.448i 0.859524 0.582772i
\(126\) 1264.48 548.747i 0.894037 0.387986i
\(127\) 132.455 155.938i 0.0925472 0.108955i −0.713939 0.700208i \(-0.753091\pi\)
0.806486 + 0.591253i \(0.201366\pi\)
\(128\) −870.394 + 2184.53i −0.601037 + 1.50849i
\(129\) −1213.09 352.465i −0.827958 0.240565i
\(130\) −576.884 + 194.375i −0.389201 + 0.131137i
\(131\) 1301.08 + 1531.74i 0.867752 + 1.02160i 0.999540 + 0.0303184i \(0.00965212\pi\)
−0.131789 + 0.991278i \(0.542072\pi\)
\(132\) −156.205 3697.05i −0.102999 2.43778i
\(133\) 1267.66 137.866i 0.826465 0.0898835i
\(134\) 396.545 1801.52i 0.255644 1.16140i
\(135\) 908.684 + 524.274i 0.579312 + 0.334240i
\(136\) −1548.64 + 1634.88i −0.976433 + 1.03081i
\(137\) 1843.30 + 977.258i 1.14952 + 0.609436i 0.930503 0.366285i \(-0.119370\pi\)
0.219016 + 0.975721i \(0.429715\pi\)
\(138\) −658.013 + 487.923i −0.405897 + 0.300977i
\(139\) −2277.31 1370.21i −1.38963 0.836114i −0.393114 0.919490i \(-0.628602\pi\)
−0.996518 + 0.0833762i \(0.973430\pi\)
\(140\) −1067.09 + 174.941i −0.644185 + 0.105609i
\(141\) −695.107 2624.72i −0.415167 1.56767i
\(142\) 1683.38 467.388i 0.994832 0.276214i
\(143\) 590.608 776.931i 0.345378 0.454337i
\(144\) −12.5098 4.55044i −0.00723948 0.00263336i
\(145\) −325.637 + 1172.84i −0.186501 + 0.671717i
\(146\) −2486.74 + 1318.39i −1.40962 + 0.747331i
\(147\) −1025.70 489.488i −0.575497 0.274642i
\(148\) 2813.87 152.564i 1.56283 0.0847343i
\(149\) 255.154 + 481.272i 0.140289 + 0.264613i 0.943694 0.330820i \(-0.107325\pi\)
−0.803405 + 0.595433i \(0.796981\pi\)
\(150\) 1179.91 + 1144.70i 0.642260 + 0.623097i
\(151\) −658.455 866.183i −0.354863 0.466814i 0.583676 0.811986i \(-0.301614\pi\)
−0.938539 + 0.345172i \(0.887821\pi\)
\(152\) −2073.25 1576.04i −1.10633 0.841013i
\(153\) 1993.46 + 1776.92i 1.05335 + 0.938924i
\(154\) 2034.75 1927.42i 1.06471 1.00854i
\(155\) 286.539 + 1747.81i 0.148486 + 0.905727i
\(156\) −605.450 1034.01i −0.310736 0.530688i
\(157\) 1046.18 2261.29i 0.531813 1.14949i −0.436489 0.899710i \(-0.643778\pi\)
0.968301 0.249784i \(-0.0803598\pi\)
\(158\) −325.004 + 613.023i −0.163645 + 0.308668i
\(159\) −386.295 1193.38i −0.192674 0.595230i
\(160\) −1113.36 754.874i −0.550116 0.372988i
\(161\) −374.802 82.5002i −0.183469 0.0403846i
\(162\) −1045.68 + 3170.46i −0.507136 + 1.53762i
\(163\) −2161.44 + 1300.49i −1.03863 + 0.624923i −0.929393 0.369093i \(-0.879668\pi\)
−0.109237 + 0.994016i \(0.534841\pi\)
\(164\) 674.697 573.093i 0.321250 0.272872i
\(165\) 2100.70 + 370.199i 0.991148 + 0.174666i
\(166\) −4115.79 + 905.954i −1.92438 + 0.423588i
\(167\) −3875.33 1544.07i −1.79570 0.715473i −0.992861 0.119281i \(-0.961941\pi\)
−0.802842 0.596192i \(-0.796680\pi\)
\(168\) −473.511 1230.97i −0.217454 0.565304i
\(169\) −304.308 + 1856.20i −0.138511 + 0.844879i
\(170\) −1900.69 2803.30i −0.857505 1.26473i
\(171\) −1793.66 + 2514.05i −0.802131 + 1.12429i
\(172\) −1006.96 + 2988.54i −0.446394 + 1.32485i
\(173\) 1770.44 + 192.547i 0.778058 + 0.0846189i 0.488526 0.872549i \(-0.337535\pi\)
0.289532 + 0.957168i \(0.406500\pi\)
\(174\) −3865.01 255.868i −1.68394 0.111479i
\(175\) −41.6959 + 769.035i −0.0180109 + 0.332192i
\(176\) −27.0664 −0.0115921
\(177\) 1392.19 + 1899.22i 0.591206 + 0.806520i
\(178\) 270.281 0.113811
\(179\) 95.9378 1769.47i 0.0400599 0.738862i −0.907650 0.419728i \(-0.862125\pi\)
0.947710 0.319134i \(-0.103392\pi\)
\(180\) 1403.40 2211.19i 0.581131 0.915623i
\(181\) −3097.48 336.872i −1.27201 0.138340i −0.552908 0.833242i \(-0.686482\pi\)
−0.719104 + 0.694903i \(0.755447\pi\)
\(182\) 289.785 860.050i 0.118023 0.350281i
\(183\) −124.168 + 1027.43i −0.0501574 + 0.415027i
\(184\) 439.862 + 648.747i 0.176234 + 0.259926i
\(185\) −262.806 + 1603.05i −0.104443 + 0.637072i
\(186\) −5260.48 + 2023.53i −2.07375 + 0.797702i
\(187\) 5044.14 + 2009.77i 1.97253 + 0.785929i
\(188\) −6619.82 + 1457.13i −2.56809 + 0.565279i
\(189\) −1442.08 + 605.465i −0.555004 + 0.233022i
\(190\) 2985.28 2535.72i 1.13987 0.968214i
\(191\) 3444.92 2072.74i 1.30506 0.785226i 0.318387 0.947961i \(-0.396859\pi\)
0.986670 + 0.162734i \(0.0520314\pi\)
\(192\) 1639.58 3976.31i 0.616285 1.49461i
\(193\) 2472.47 + 544.232i 0.922136 + 0.202977i 0.650573 0.759443i \(-0.274529\pi\)
0.271562 + 0.962421i \(0.412460\pi\)
\(194\) 722.571 + 489.915i 0.267410 + 0.181309i
\(195\) 657.152 212.718i 0.241331 0.0781183i
\(196\) −1328.97 + 2506.71i −0.484319 + 0.913523i
\(197\) 448.226 968.825i 0.162105 0.350385i −0.809453 0.587185i \(-0.800236\pi\)
0.971559 + 0.236799i \(0.0760984\pi\)
\(198\) 205.557 + 6784.89i 0.0737793 + 2.43526i
\(199\) −702.609 4285.73i −0.250285 1.52667i −0.750560 0.660803i \(-0.770216\pi\)
0.500275 0.865867i \(-0.333232\pi\)
\(200\) 1141.96 1081.72i 0.403743 0.382445i
\(201\) −474.314 + 2038.59i −0.166446 + 0.715378i
\(202\) −5669.59 4309.91i −1.97481 1.50121i
\(203\) −1098.20 1444.65i −0.379695 0.499481i
\(204\) 4642.06 4784.83i 1.59318 1.64218i
\(205\) 239.029 + 450.856i 0.0814365 + 0.153605i
\(206\) 4208.23 228.163i 1.42331 0.0771694i
\(207\) 753.175 544.672i 0.252895 0.182886i
\(208\) −7.74358 + 4.10538i −0.00258135 + 0.00136854i
\(209\) −1679.92 + 6050.51i −0.555991 + 2.00250i
\(210\) 1961.19 297.523i 0.644453 0.0977668i
\(211\) 428.810 564.089i 0.139907 0.184045i −0.720803 0.693140i \(-0.756227\pi\)
0.860710 + 0.509095i \(0.170020\pi\)
\(212\) −3017.25 + 837.734i −0.977478 + 0.271395i
\(213\) −1916.25 + 507.483i −0.616429 + 0.163250i
\(214\) 177.988 29.1796i 0.0568551 0.00932092i
\(215\) −1557.69 937.232i −0.494110 0.297296i
\(216\) 2988.63 + 1127.69i 0.941436 + 0.355230i
\(217\) −2332.93 1236.84i −0.729814 0.386923i
\(218\) −1241.77 + 1310.92i −0.385796 + 0.407280i
\(219\) 2839.25 1462.12i 0.876067 0.451146i
\(220\) 1144.73 5200.55i 0.350807 1.59373i
\(221\) 1747.94 190.100i 0.532032 0.0578620i
\(222\) −5164.81 + 218.220i −1.56144 + 0.0659729i
\(223\) −2145.06 2525.35i −0.644142 0.758342i 0.339080 0.940758i \(-0.389884\pi\)
−0.983222 + 0.182416i \(0.941608\pi\)
\(224\) 1900.43 640.329i 0.566865 0.190999i
\(225\) −1323.19 1314.73i −0.392055 0.389551i
\(226\) 95.2734 239.118i 0.0280420 0.0703801i
\(227\) −3843.50 + 4524.91i −1.12380 + 1.32304i −0.183368 + 0.983044i \(0.558700\pi\)
−0.940429 + 0.339991i \(0.889576\pi\)
\(228\) 6081.52 + 4738.67i 1.76648 + 1.37643i
\(229\) −761.063 + 516.014i −0.219618 + 0.148905i −0.666035 0.745920i \(-0.732010\pi\)
0.446417 + 0.894825i \(0.352700\pi\)
\(230\) −1095.13 + 436.338i −0.313958 + 0.125092i
\(231\) −2334.68 + 2159.23i −0.664982 + 0.615009i
\(232\) −400.713 + 3684.50i −0.113397 + 1.04267i
\(233\) 2977.54 1377.56i 0.837190 0.387325i 0.0460340 0.998940i \(-0.485342\pi\)
0.791156 + 0.611615i \(0.209480\pi\)
\(234\) 1087.93 + 1909.94i 0.303932 + 0.533577i
\(235\) 3907.37i 1.08463i
\(236\) 4883.74 3272.26i 1.34705 0.902566i
\(237\) 377.046 691.118i 0.103341 0.189422i
\(238\) 5041.97 + 273.368i 1.37320 + 0.0744529i
\(239\) −806.292 1742.77i −0.218220 0.471676i 0.767288 0.641303i \(-0.221606\pi\)
−0.985508 + 0.169627i \(0.945744\pi\)
\(240\) −15.7261 10.9389i −0.00422966 0.00294210i
\(241\) 2886.38 + 972.536i 0.771487 + 0.259944i 0.677395 0.735619i \(-0.263109\pi\)
0.0940915 + 0.995564i \(0.470005\pi\)
\(242\) 2852.50 + 7159.24i 0.757710 + 1.90171i
\(243\) 1229.35 3582.96i 0.324538 0.945873i
\(244\) 2549.53 + 417.975i 0.668922 + 0.109664i
\(245\) −1246.53 1058.81i −0.325052 0.276102i
\(246\) −1250.14 + 1036.44i −0.324009 + 0.268623i
\(247\) 437.114 + 1985.83i 0.112603 + 0.511559i
\(248\) 1721.96 + 5110.59i 0.440905 + 1.30856i
\(249\) 4681.95 972.118i 1.19159 0.247412i
\(250\) 3426.47 + 5694.85i 0.866837 + 1.44069i
\(251\) −407.734 3749.05i −0.102534 0.942781i −0.926539 0.376199i \(-0.877231\pi\)
0.824005 0.566582i \(-0.191735\pi\)
\(252\) 1358.18 + 3660.63i 0.339513 + 0.915072i
\(253\) 1060.59 1564.25i 0.263551 0.388709i
\(254\) 680.232 + 644.350i 0.168038 + 0.159174i
\(255\) 2118.49 + 3206.30i 0.520256 + 0.787398i
\(256\) −3763.64 1741.25i −0.918858 0.425109i
\(257\) −325.263 + 540.592i −0.0789470 + 0.131211i −0.893815 0.448435i \(-0.851982\pi\)
0.814868 + 0.579646i \(0.196809\pi\)
\(258\) 1912.51 5459.81i 0.461502 1.31749i
\(259\) −1665.48 1758.23i −0.399567 0.421818i
\(260\) −461.308 1661.48i −0.110035 0.396311i
\(261\) 4381.68 + 342.659i 1.03915 + 0.0812645i
\(262\) −7326.90 + 5569.77i −1.72770 + 1.31336i
\(263\) −5064.42 1406.13i −1.18740 0.329679i −0.382987 0.923754i \(-0.625105\pi\)
−0.804410 + 0.594075i \(0.797518\pi\)
\(264\) 6494.44 + 77.5421i 1.51404 + 0.0180772i
\(265\) −97.7258 1802.45i −0.0226538 0.417824i
\(266\) 316.142 + 5830.90i 0.0728719 + 1.34404i
\(267\) −306.654 3.66137i −0.0702880 0.000839221i
\(268\) 5034.66 + 1397.87i 1.14754 + 0.318613i
\(269\) −2767.48 + 2103.79i −0.627273 + 0.476840i −0.869866 0.493288i \(-0.835795\pi\)
0.242593 + 0.970128i \(0.422002\pi\)
\(270\) −2622.68 + 4025.23i −0.591153 + 0.907288i
\(271\) −68.6637 247.304i −0.0153912 0.0554342i 0.955456 0.295135i \(-0.0953645\pi\)
−0.970847 + 0.239701i \(0.922951\pi\)
\(272\) −33.5344 35.4019i −0.00747545 0.00789174i
\(273\) −340.433 + 971.866i −0.0754723 + 0.215458i
\(274\) −4925.79 + 8186.73i −1.08605 + 1.80503i
\(275\) −3442.14 1592.50i −0.754796 0.349206i
\(276\) −1279.15 1935.97i −0.278970 0.422215i
\(277\) −1750.99 1658.63i −0.379808 0.359774i 0.473851 0.880605i \(-0.342863\pi\)
−0.853660 + 0.520831i \(0.825622\pi\)
\(278\) 6830.29 10073.9i 1.47357 2.17336i
\(279\) 5995.82 2224.59i 1.28660 0.477357i
\(280\) −205.208 1886.86i −0.0437983 0.402719i
\(281\) −2467.09 4100.33i −0.523751 0.870481i 0.476210 0.879332i \(-0.342010\pi\)
−0.999961 + 0.00885049i \(0.997183\pi\)
\(282\) 12174.6 2527.83i 2.57088 0.533795i
\(283\) −1668.39 4951.60i −0.350443 1.04008i −0.967437 0.253110i \(-0.918546\pi\)
0.616994 0.786967i \(-0.288350\pi\)
\(284\) 1063.82 + 4832.99i 0.222275 + 1.00981i
\(285\) −3421.38 + 2836.53i −0.711105 + 0.589549i
\(286\) 3406.31 + 2893.34i 0.704263 + 0.598206i
\(287\) −750.760 123.081i −0.154411 0.0253144i
\(288\) −1904.98 + 4467.82i −0.389763 + 0.914128i
\(289\) 1802.33 + 4523.51i 0.366849 + 0.920722i
\(290\) −5282.40 1779.85i −1.06963 0.360401i
\(291\) −813.174 565.634i −0.163811 0.113945i
\(292\) −3347.61 7235.73i −0.670904 1.45013i
\(293\) −5709.73 309.572i −1.13845 0.0617250i −0.524744 0.851260i \(-0.675839\pi\)
−0.613706 + 0.789535i \(0.710322\pi\)
\(294\) 2492.62 4568.93i 0.494465 0.906345i
\(295\) 1237.00 + 3154.92i 0.244140 + 0.622667i
\(296\) 4946.21i 0.971259i
\(297\) −141.308 7700.75i −0.0276078 1.50452i
\(298\) −2264.01 + 1047.44i −0.440102 + 0.203613i
\(299\) 66.1665 608.391i 0.0127977 0.117673i
\(300\) −3418.65 + 3161.74i −0.657919 + 0.608477i
\(301\) 2517.75 1003.16i 0.482129 0.192098i
\(302\) 4124.12 2796.22i 0.785815 0.532796i
\(303\) 6374.19 + 4966.72i 1.20854 + 0.941686i
\(304\) 36.5083 42.9809i 0.00688781 0.00810895i
\(305\) −551.248 + 1383.53i −0.103490 + 0.259740i
\(306\) −8619.70 + 8675.11i −1.61031 + 1.62066i
\(307\) −8705.92 + 2933.37i −1.61848 + 0.545329i −0.975395 0.220465i \(-0.929242\pi\)
−0.643085 + 0.765795i \(0.722346\pi\)
\(308\) 5139.52 + 6050.71i 0.950815 + 1.11939i
\(309\) −4777.64 + 201.862i −0.879581 + 0.0371634i
\(310\) −8063.41 + 876.948i −1.47733 + 0.160669i
\(311\) −1638.92 + 7445.69i −0.298825 + 1.35758i 0.552751 + 0.833346i \(0.313578\pi\)
−0.851576 + 0.524231i \(0.824353\pi\)
\(312\) 1869.79 962.880i 0.339282 0.174719i
\(313\) −4653.11 + 4912.23i −0.840286 + 0.887079i −0.994897 0.100896i \(-0.967829\pi\)
0.154611 + 0.987975i \(0.450588\pi\)
\(314\) 10081.0 + 5344.61i 1.81180 + 0.960553i
\(315\) −2229.15 + 310.994i −0.398725 + 0.0556272i
\(316\) −1684.05 1013.26i −0.299795 0.180381i
\(317\) −10560.7 + 1731.34i −1.87113 + 0.306756i −0.987029 0.160540i \(-0.948676\pi\)
−0.884101 + 0.467297i \(0.845228\pi\)
\(318\) 5552.86 1470.57i 0.979210 0.259325i
\(319\) 8610.64 2390.73i 1.51130 0.419609i
\(320\) 3745.76 4927.46i 0.654357 0.860791i
\(321\) −202.336 + 30.6953i −0.0351816 + 0.00533722i
\(322\) 470.180 1693.43i 0.0813729 0.293079i
\(323\) −9995.19 + 5299.12i −1.72182 + 0.912850i
\(324\) −8807.06 3443.82i −1.51013 0.590504i
\(325\) −1226.33 + 66.4895i −0.209306 + 0.0113482i
\(326\) −5410.98 10206.2i −0.919284 1.73395i
\(327\) 1426.64 1470.52i 0.241265 0.248685i
\(328\) 940.314 + 1236.96i 0.158293 + 0.208231i
\(329\) 4637.49 + 3525.33i 0.777122 + 0.590753i
\(330\) −2213.66 + 9514.27i −0.369267 + 1.58710i
\(331\) 8446.35 8000.81i 1.40258 1.32859i 0.523412 0.852080i \(-0.324659\pi\)
0.879167 0.476513i \(-0.158100\pi\)
\(332\) −1931.26 11780.1i −0.319251 1.94735i
\(333\) 5862.82 177.622i 0.964807 0.0292301i
\(334\) 8021.52 17338.2i 1.31413 2.84044i
\(335\) −1410.86 + 2661.16i −0.230100 + 0.434015i
\(336\) 27.1715 8.79533i 0.00441168 0.00142805i
\(337\) −4225.61 2865.03i −0.683037 0.463110i 0.169670 0.985501i \(-0.445730\pi\)
−0.852706 + 0.522391i \(0.825040\pi\)
\(338\) −8412.55 1851.74i −1.35379 0.297992i
\(339\) −111.334 + 270.007i −0.0178373 + 0.0432589i
\(340\) 8220.40 4946.05i 1.31122 0.788933i
\(341\) 9910.57 8418.12i 1.57386 1.33685i
\(342\) −11051.5 8825.31i −1.74736 1.39537i
\(343\) 6115.68 1346.16i 0.962729 0.211913i
\(344\) −5142.16 2048.82i −0.805949 0.321120i
\(345\) 1248.41 480.223i 0.194818 0.0749401i
\(346\) −1319.42 + 8048.09i −0.205007 + 1.25049i
\(347\) −5575.23 8222.85i −0.862519 1.27212i −0.960879 0.276969i \(-0.910670\pi\)
0.0983599 0.995151i \(-0.468640\pi\)
\(348\) 1316.41 10892.7i 0.202779 1.67790i
\(349\) −2192.54 + 6507.23i −0.336287 + 0.998064i 0.637470 + 0.770475i \(0.279981\pi\)
−0.973757 + 0.227589i \(0.926916\pi\)
\(350\) −3506.29 381.332i −0.535483 0.0582373i
\(351\) −1208.46 2181.71i −0.183769 0.331770i
\(352\) −534.655 + 9861.13i −0.0809580 + 1.49318i
\(353\) 2038.37 0.307341 0.153670 0.988122i \(-0.450891\pi\)
0.153670 + 0.988122i \(0.450891\pi\)
\(354\) −9029.88 + 5895.32i −1.35574 + 0.885120i
\(355\) −2852.68 −0.426492
\(356\) −41.4483 + 764.469i −0.00617066 + 0.113811i
\(357\) −5716.79 378.457i −0.847520 0.0561067i
\(358\) 8067.60 + 877.405i 1.19102 + 0.129532i
\(359\) −2911.47 + 8640.93i −0.428026 + 1.27034i 0.489271 + 0.872132i \(0.337263\pi\)
−0.917297 + 0.398204i \(0.869634\pi\)
\(360\) 3742.06 + 2669.78i 0.547844 + 0.390861i
\(361\) −3492.95 5151.71i −0.509250 0.751088i
\(362\) 2308.40 14080.6i 0.335156 2.04436i
\(363\) −3139.39 8161.33i −0.453927 1.18005i
\(364\) 2388.15 + 951.525i 0.343882 + 0.137015i
\(365\) 4488.37 987.966i 0.643650 0.141678i
\(366\) −4667.44 822.525i −0.666587 0.117470i
\(367\) 1397.16 1186.75i 0.198722 0.168796i −0.542500 0.840056i \(-0.682522\pi\)
0.741222 + 0.671260i \(0.234246\pi\)
\(368\) −14.5431 + 8.75029i −0.00206009 + 0.00123951i
\(369\) 1432.42 1158.99i 0.202084 0.163508i
\(370\) −7265.23 1599.20i −1.02081 0.224698i
\(371\) 2227.42 + 1510.23i 0.311703 + 0.211340i
\(372\) −4916.70 15189.2i −0.685266 2.11700i
\(373\) −4900.82 + 9243.93i −0.680308 + 1.28320i 0.267255 + 0.963626i \(0.413884\pi\)
−0.947562 + 0.319571i \(0.896461\pi\)
\(374\) −10440.8 + 22567.4i −1.44353 + 3.12015i
\(375\) −3810.45 6507.65i −0.524722 0.896142i
\(376\) −1924.78 11740.6i −0.263997 1.61031i
\(377\) 2100.84 1990.02i 0.286999 0.271860i
\(378\) −2411.13 6744.42i −0.328082 0.917713i
\(379\) 10107.5 + 7683.49i 1.36988 + 1.04136i 0.993372 + 0.114944i \(0.0366690\pi\)
0.376510 + 0.926413i \(0.377124\pi\)
\(380\) 6714.30 + 8832.51i 0.906412 + 1.19236i
\(381\) −763.046 740.278i −0.102604 0.0995423i
\(382\) 8624.09 + 16266.8i 1.15510 + 2.17874i
\(383\) 4654.24 252.346i 0.620942 0.0336665i 0.259016 0.965873i \(-0.416602\pi\)
0.361926 + 0.932207i \(0.382119\pi\)
\(384\) 11027.6 + 5262.64i 1.46549 + 0.699370i
\(385\) −4043.29 + 2143.62i −0.535234 + 0.283763i
\(386\) −3101.65 + 11171.1i −0.408989 + 1.47305i
\(387\) −2243.84 + 6168.65i −0.294731 + 0.810259i
\(388\) −1496.50 + 1968.61i −0.195807 + 0.257580i
\(389\) −6235.23 + 1731.20i −0.812696 + 0.225644i −0.648923 0.760854i \(-0.724780\pi\)
−0.163773 + 0.986498i \(0.552366\pi\)
\(390\) 809.787 + 3057.75i 0.105141 + 0.397013i
\(391\) 3360.01 550.845i 0.434585 0.0712466i
\(392\) −4267.07 2567.41i −0.549795 0.330801i
\(393\) 8388.37 6220.06i 1.07669 0.798373i
\(394\) 4319.09 + 2289.84i 0.552266 + 0.292793i
\(395\) 779.127 822.515i 0.0992459 0.104773i
\(396\) −19222.1 459.079i −2.43926 0.0582566i
\(397\) −2172.20 + 9868.42i −0.274609 + 1.24756i 0.614151 + 0.789188i \(0.289499\pi\)
−0.888760 + 0.458373i \(0.848433\pi\)
\(398\) 19771.9 2150.32i 2.49014 0.270819i
\(399\) −279.699 6619.88i −0.0350939 0.830598i
\(400\) 22.0506 + 25.9599i 0.00275632 + 0.00324499i
\(401\) 10853.6 3657.00i 1.35163 0.455416i 0.451977 0.892030i \(-0.350719\pi\)
0.899649 + 0.436614i \(0.143822\pi\)
\(402\) −9204.43 2674.36i −1.14198 0.331803i
\(403\) 1558.52 3911.60i 0.192644 0.483500i
\(404\) 13059.7 15375.1i 1.60828 1.89341i
\(405\) 3030.16 4531.40i 0.371777 0.555968i
\(406\) 6878.35 4663.63i 0.840804 0.570080i
\(407\) 11079.2 4414.35i 1.34932 0.537619i
\(408\) 7944.98 + 8590.55i 0.964057 + 1.04239i
\(409\) −620.488 + 5705.29i −0.0750151 + 0.689752i 0.894893 + 0.446281i \(0.147252\pi\)
−0.969908 + 0.243471i \(0.921714\pi\)
\(410\) −2120.93 + 981.245i −0.255476 + 0.118196i
\(411\) 5699.59 9221.74i 0.684038 1.10675i
\(412\) 11937.6i 1.42749i
\(413\) −4860.50 1378.31i −0.579104 0.164218i
\(414\) 2303.93 + 3579.14i 0.273507 + 0.424892i
\(415\) 6871.25 + 372.548i 0.812762 + 0.0440667i
\(416\) 1342.75 + 2902.32i 0.158255 + 0.342062i
\(417\) −7885.94 + 11337.1i −0.926082 + 1.33137i
\(418\) −27251.2 9181.98i −3.18875 1.07441i
\(419\) 4902.65 + 12304.7i 0.571624 + 1.43467i 0.876092 + 0.482144i \(0.160142\pi\)
−0.304468 + 0.952522i \(0.598479\pi\)
\(420\) 540.767 + 5592.72i 0.0628255 + 0.649754i
\(421\) 2257.38 + 370.079i 0.261326 + 0.0428421i 0.291020 0.956717i \(-0.406005\pi\)
−0.0296948 + 0.999559i \(0.509454\pi\)
\(422\) 2473.14 + 2100.71i 0.285286 + 0.242324i
\(423\) −13847.3 + 2703.09i −1.59167 + 0.310706i
\(424\) −1181.53 5367.76i −0.135331 0.614815i
\(425\) −2181.76 6475.24i −0.249014 0.739048i
\(426\) −1845.51 8888.42i −0.209895 1.01090i
\(427\) −1144.70 1902.51i −0.129733 0.215618i
\(428\) 55.2375 + 507.900i 0.00623832 + 0.0573605i
\(429\) −3825.52 3328.86i −0.430531 0.374636i
\(430\) 4671.95 6890.62i 0.523957 0.772779i
\(431\) −6736.87 6381.51i −0.752909 0.713193i 0.211567 0.977363i \(-0.432143\pi\)
−0.964476 + 0.264170i \(0.914902\pi\)
\(432\) −27.8870 + 63.2991i −0.00310582 + 0.00704972i
\(433\) −4928.25 2280.05i −0.546966 0.253054i 0.126889 0.991917i \(-0.459501\pi\)
−0.673855 + 0.738863i \(0.735363\pi\)
\(434\) 6234.20 10361.3i 0.689519 1.14599i
\(435\) 5969.17 + 2090.93i 0.657930 + 0.230465i
\(436\) −3517.42 3713.30i −0.386362 0.407878i
\(437\) 1053.43 + 3794.10i 0.115314 + 0.415324i
\(438\) 5982.02 + 13345.8i 0.652585 + 1.45590i
\(439\) 12827.3 9751.04i 1.39456 1.06012i 0.405264 0.914200i \(-0.367180\pi\)
0.989297 0.145918i \(-0.0466135\pi\)
\(440\) 9005.93 + 2500.48i 0.975775 + 0.270923i
\(441\) −2889.96 + 5150.03i −0.312057 + 0.556098i
\(442\) 435.920 + 8040.08i 0.0469109 + 0.865220i
\(443\) −429.645 7924.34i −0.0460791 0.849880i −0.926641 0.375948i \(-0.877317\pi\)
0.880562 0.473932i \(-0.157166\pi\)
\(444\) 174.819 14641.8i 0.0186859 1.56502i
\(445\) −425.241 118.067i −0.0452996 0.0125774i
\(446\) 12079.7 9182.76i 1.28249 0.974924i
\(447\) 2582.88 1157.73i 0.273302 0.122503i
\(448\) 2468.67 + 8891.36i 0.260344 + 0.937673i
\(449\) −5786.32 6108.55i −0.608181 0.642049i 0.347072 0.937839i \(-0.387176\pi\)
−0.955253 + 0.295789i \(0.904417\pi\)
\(450\) 6340.05 5724.68i 0.664161 0.599698i
\(451\) 1931.51 3210.19i 0.201665 0.335171i
\(452\) 661.718 + 306.143i 0.0688597 + 0.0318579i
\(453\) −4717.00 + 3116.65i −0.489236 + 0.323252i
\(454\) −19738.5 18697.3i −2.04047 1.93284i
\(455\) −831.625 + 1226.56i −0.0856861 + 0.126378i
\(456\) −8883.10 + 10208.4i −0.912257 + 1.04836i
\(457\) −118.319 1087.93i −0.0121110 0.111359i 0.986522 0.163629i \(-0.0523200\pi\)
−0.998633 + 0.0522697i \(0.983354\pi\)
\(458\) −2170.93 3608.11i −0.221487 0.368113i
\(459\) 9897.21 9725.80i 1.00645 0.989023i
\(460\) −1066.21 3164.39i −0.108070 0.320740i
\(461\) 860.603 + 3909.76i 0.0869463 + 0.395001i 0.999915 0.0130282i \(-0.00414713\pi\)
−0.912969 + 0.408029i \(0.866216\pi\)
\(462\) −9294.86 11211.3i −0.936009 1.12900i
\(463\) −3346.72 2842.73i −0.335930 0.285341i 0.463505 0.886094i \(-0.346592\pi\)
−0.799435 + 0.600753i \(0.794867\pi\)
\(464\) −79.1977 12.9838i −0.00792383 0.00129905i
\(465\) 9160.42 885.732i 0.913558 0.0883330i
\(466\) 5561.05 + 13957.2i 0.552813 + 1.38745i
\(467\) −7896.62 2660.68i −0.782467 0.263644i −0.100413 0.994946i \(-0.532017\pi\)
−0.682054 + 0.731302i \(0.738913\pi\)
\(468\) −5568.97 + 2784.23i −0.550055 + 0.275002i
\(469\) −1885.51 4075.46i −0.185639 0.401252i
\(470\) 17867.5 + 968.749i 1.75355 + 0.0950746i
\(471\) −11365.3 6200.42i −1.11185 0.606583i
\(472\) 5271.01 + 8870.40i 0.514021 + 0.865028i
\(473\) 13346.6i 1.29741i
\(474\) 3066.85 + 1895.50i 0.297184 + 0.183677i
\(475\) 7171.75 3318.00i 0.692763 0.320506i
\(476\) −1546.40 + 14218.9i −0.148906 + 1.36917i
\(477\) −6320.06 + 1593.25i −0.606657 + 0.152935i
\(478\) 8169.21 3254.91i 0.781697 0.311456i
\(479\) 10359.0 7023.55i 0.988127 0.669967i 0.0438225 0.999039i \(-0.486046\pi\)
0.944305 + 0.329072i \(0.106736\pi\)
\(480\) −4296.02 + 5513.43i −0.408512 + 0.524276i
\(481\) 2500.14 2943.39i 0.236999 0.279017i
\(482\) −5162.81 + 12957.7i −0.487883 + 1.22449i
\(483\) −556.394 + 1914.96i −0.0524158 + 0.180401i
\(484\) −20686.8 + 6970.20i −1.94279 + 0.654602i
\(485\) −922.831 1086.44i −0.0863992 0.101717i
\(486\) 16079.3 + 6509.85i 1.50077 + 0.607599i
\(487\) −14312.4 + 1556.57i −1.33174 + 0.144835i −0.746152 0.665776i \(-0.768101\pi\)
−0.585585 + 0.810611i \(0.699135\pi\)
\(488\) −974.830 + 4428.70i −0.0904272 + 0.410815i
\(489\) 6000.91 + 11653.0i 0.554950 + 1.07764i
\(490\) 5150.75 5437.59i 0.474872 0.501316i
\(491\) −11155.8 5914.42i −1.02536 0.543613i −0.131200 0.991356i \(-0.541883\pi\)
−0.894162 + 0.447743i \(0.852228\pi\)
\(492\) −2739.79 3694.88i −0.251056 0.338573i
\(493\) 13795.3 + 8300.35i 1.26026 + 0.758274i
\(494\) −9189.12 + 1506.48i −0.836919 + 0.137206i
\(495\) 2640.45 10764.7i 0.239757 0.977446i
\(496\) −112.522 + 31.2415i −0.0101862 + 0.00282819i
\(497\) 2573.77 3385.73i 0.232292 0.305575i
\(498\) 3284.49 + 21650.5i 0.295545 + 1.94816i
\(499\) 3239.26 11666.8i 0.290600 1.04665i −0.663750 0.747954i \(-0.731036\pi\)
0.954350 0.298691i \(-0.0965500\pi\)
\(500\) −16632.9 + 8818.21i −1.48769 + 0.788725i
\(501\) −9335.89 + 19562.9i −0.832528 + 1.74452i
\(502\) 17244.7 934.980i 1.53320 0.0831279i
\(503\) −1799.04 3393.36i −0.159474 0.300800i 0.790880 0.611972i \(-0.209623\pi\)
−0.950354 + 0.311172i \(0.899279\pi\)
\(504\) −6544.84 + 2032.55i −0.578433 + 0.179637i
\(505\) 7037.43 + 9257.58i 0.620122 + 0.815756i
\(506\) 6890.01 + 5237.65i 0.605333 + 0.460162i
\(507\) 9519.58 + 2214.90i 0.833884 + 0.194018i
\(508\) −1926.81 + 1825.17i −0.168284 + 0.159407i
\(509\) −928.158 5661.51i −0.0808249 0.493010i −0.995955 0.0898517i \(-0.971361\pi\)
0.915130 0.403158i \(-0.132088\pi\)
\(510\) −15187.0 + 8892.48i −1.31861 + 0.772089i
\(511\) −2876.95 + 6218.43i −0.249059 + 0.538331i
\(512\) 83.6076 157.701i 0.00721674 0.0136122i
\(513\) 12419.2 + 10162.7i 1.06885 + 0.874646i
\(514\) −2391.37 1621.39i −0.205211 0.139137i
\(515\) −6720.60 1479.32i −0.575039 0.126576i
\(516\) 15149.4 + 6246.66i 1.29247 + 0.532934i
\(517\) −24580.4 + 14789.6i −2.09100 + 1.25811i
\(518\) 8452.90 7179.96i 0.716987 0.609014i
\(519\) 1606.00 9113.29i 0.135830 0.770769i
\(520\) 2955.82 650.625i 0.249272 0.0548689i
\(521\) 3015.23 + 1201.38i 0.253550 + 0.101024i 0.493451 0.869774i \(-0.335735\pi\)
−0.239900 + 0.970798i \(0.577115\pi\)
\(522\) −2653.25 + 19951.5i −0.222470 + 1.67290i
\(523\) −2046.95 + 12485.9i −0.171142 + 1.04392i 0.751917 + 0.659258i \(0.229129\pi\)
−0.923059 + 0.384660i \(0.874319\pi\)
\(524\) −14630.1 21577.7i −1.21969 1.79891i
\(525\) 3972.98 + 480.148i 0.330277 + 0.0399150i
\(526\) 7685.53 22809.9i 0.637082 1.89079i
\(527\) 23289.4 + 2532.88i 1.92506 + 0.209362i
\(528\) −9.29027 + 140.334i −0.000765733 + 0.0115668i
\(529\) −594.548 + 10965.8i −0.0488656 + 0.901273i
\(530\) 8266.42 0.677491
\(531\) 10324.9 6566.35i 0.843812 0.536639i
\(532\) −16540.8 −1.34799
\(533\) 65.6795 1211.39i 0.00533751 0.0984446i
\(534\) 92.7710 1401.35i 0.00751796 0.113563i
\(535\) −292.780 31.8418i −0.0236598 0.00257316i
\(536\) −2928.38 + 8691.12i −0.235983 + 0.700372i
\(537\) −9141.41 1104.77i −0.734602 0.0887790i
\(538\) −8934.01 13176.7i −0.715934 1.05592i
\(539\) −1942.59 + 11849.3i −0.155238 + 0.946911i
\(540\) −10982.9 8035.34i −0.875236 0.640344i
\(541\) −1872.30 745.992i −0.148792 0.0592841i 0.294553 0.955635i \(-0.404829\pi\)
−0.443345 + 0.896351i \(0.646208\pi\)
\(542\) 1147.89 252.670i 0.0909708 0.0200242i
\(543\) −2809.79 + 15944.2i −0.222062 + 1.26010i
\(544\) −13560.4 + 11518.3i −1.06874 + 0.907800i
\(545\) 2526.37 1520.07i 0.198565 0.119473i
\(546\) −4359.73 1797.68i −0.341720 0.140904i
\(547\) −13339.1 2936.16i −1.04267 0.229508i −0.339554 0.940587i \(-0.610276\pi\)
−0.703113 + 0.711078i \(0.748207\pi\)
\(548\) −22400.2 15187.7i −1.74615 1.18392i
\(549\) 5284.41 + 996.444i 0.410807 + 0.0774630i
\(550\) 8135.57 15345.3i 0.630731 1.18968i
\(551\) −7817.94 + 16898.2i −0.604457 + 1.30651i
\(552\) 3514.61 2057.92i 0.270999 0.158679i
\(553\) 273.259 + 1666.81i 0.0210130 + 0.128173i
\(554\) 8018.66 7595.68i 0.614946 0.582508i
\(555\) 8221.28 + 1912.83i 0.628782 + 0.146297i
\(556\) 27445.9 + 20863.8i 2.09346 + 1.59141i
\(557\) 9187.88 + 12086.4i 0.698928 + 0.919424i 0.999409 0.0343636i \(-0.0109404\pi\)
−0.300481 + 0.953788i \(0.597147\pi\)
\(558\) 8686.01 + 27969.1i 0.658975 + 2.12191i
\(559\) 2024.38 + 3818.39i 0.153171 + 0.288910i
\(560\) 41.0388 2.22506i 0.00309680 0.000167904i
\(561\) 12151.6 25463.0i 0.914511 1.91631i
\(562\) 19361.6 10264.9i 1.45324 0.770457i
\(563\) −854.192 + 3076.52i −0.0639430 + 0.230302i −0.988616 0.150460i \(-0.951924\pi\)
0.924673 + 0.380762i \(0.124338\pi\)
\(564\) 5282.77 + 34822.6i 0.394405 + 2.59982i
\(565\) −254.351 + 334.593i −0.0189392 + 0.0249141i
\(566\) 23056.2 6401.53i 1.71224 0.475400i
\(567\) 2644.24 + 7684.71i 0.195851 + 0.569184i
\(568\) −8571.59 + 1405.24i −0.633197 + 0.103807i
\(569\) 10849.2 + 6527.74i 0.799335 + 0.480944i 0.855704 0.517466i \(-0.173125\pi\)
−0.0563687 + 0.998410i \(0.517952\pi\)
\(570\) −12122.6 16348.5i −0.890803 1.20134i
\(571\) −15644.7 8294.30i −1.14660 0.607891i −0.216898 0.976194i \(-0.569594\pi\)
−0.929706 + 0.368303i \(0.879939\pi\)
\(572\) −8705.97 + 9190.79i −0.636390 + 0.671829i
\(573\) −9564.32 18572.7i −0.697304 1.35408i
\(574\) 748.956 3402.54i 0.0544614 0.247421i
\(575\) −2364.34 + 257.137i −0.171478 + 0.0186493i
\(576\) −20053.6 9865.75i −1.45064 0.713668i
\(577\) 5312.98 + 6254.92i 0.383331 + 0.451293i 0.919659 0.392717i \(-0.128465\pi\)
−0.536328 + 0.844010i \(0.680189\pi\)
\(578\) −21131.9 + 7120.15i −1.52071 + 0.512386i
\(579\) 3670.38 12632.5i 0.263447 0.906714i
\(580\) 5844.24 14667.9i 0.418394 1.05009i
\(581\) −6641.58 + 7819.07i −0.474250 + 0.558330i
\(582\) 2788.13 3578.23i 0.198577 0.254849i
\(583\) −10968.9 + 7437.12i −0.779222 + 0.528326i
\(584\) 12999.8 5179.58i 0.921119 0.367008i
\(585\) −877.342 3480.22i −0.0620062 0.245964i
\(586\) 2831.21 26032.6i 0.199584 1.83515i
\(587\) 6296.67 2913.15i 0.442745 0.204836i −0.185834 0.982581i \(-0.559499\pi\)
0.628579 + 0.777745i \(0.283637\pi\)
\(588\) 12540.6 + 7750.86i 0.879535 + 0.543605i
\(589\) 27092.4i 1.89529i
\(590\) −14733.5 + 4874.35i −1.02808 + 0.340125i
\(591\) −4869.32 2656.50i −0.338912 0.184897i
\(592\) −106.949 5.79859i −0.00742494 0.000402569i
\(593\) 8484.43 + 18338.8i 0.587545 + 1.26996i 0.942229 + 0.334971i \(0.108726\pi\)
−0.354684 + 0.934986i \(0.615412\pi\)
\(594\) 35248.9 + 1263.07i 2.43481 + 0.0872463i
\(595\) −7813.26 2632.60i −0.538341 0.181388i
\(596\) −2615.42 6564.21i −0.179751 0.451142i
\(597\) −22461.8 + 2171.86i −1.53987 + 0.148892i
\(598\) 2765.63 + 453.403i 0.189122 + 0.0310050i
\(599\) −7686.35 6528.85i −0.524300 0.445345i 0.345736 0.938332i \(-0.387629\pi\)
−0.870037 + 0.492987i \(0.835905\pi\)
\(600\) −5216.54 6292.11i −0.354940 0.428124i
\(601\) −5245.31 23829.7i −0.356007 1.61736i −0.725567 0.688151i \(-0.758423\pi\)
0.369560 0.929207i \(-0.379509\pi\)
\(602\) 3963.03 + 11761.8i 0.268307 + 0.796307i
\(603\) 10406.9 + 3158.95i 0.702821 + 0.213337i
\(604\) 7276.45 + 12093.6i 0.490190 + 0.814702i
\(605\) −1360.53 12509.9i −0.0914274 0.840661i
\(606\) −24292.1 + 27916.4i −1.62838 + 1.87133i
\(607\) 8626.51 12723.2i 0.576836 0.850769i −0.421594 0.906785i \(-0.638529\pi\)
0.998430 + 0.0560156i \(0.0178397\pi\)
\(608\) −14938.1 14150.1i −0.996413 0.943852i
\(609\) −7867.17 + 5198.06i −0.523471 + 0.345872i
\(610\) −6189.90 2863.75i −0.410855 0.190082i
\(611\) −4789.09 + 7959.53i −0.317096 + 0.527018i
\(612\) −23215.1 25710.5i −1.53335 1.69818i
\(613\) 10108.0 + 10670.8i 0.665998 + 0.703085i 0.968205 0.250157i \(-0.0804823\pi\)
−0.302208 + 0.953242i \(0.597724\pi\)
\(614\) −11255.2 40537.5i −0.739776 2.66443i
\(615\) 2419.64 1084.56i 0.158649 0.0711120i
\(616\) −11093.1 + 8432.76i −0.725575 + 0.551568i
\(617\) −15172.4 4212.59i −0.989978 0.274866i −0.265460 0.964122i \(-0.585524\pi\)
−0.724518 + 0.689256i \(0.757938\pi\)
\(618\) 261.446 21897.1i 0.0170177 1.42530i
\(619\) −976.794 18015.9i −0.0634260 1.16982i −0.841001 0.541033i \(-0.818033\pi\)
0.777575 0.628790i \(-0.216449\pi\)
\(620\) −1243.84 22941.2i −0.0805705 1.48604i
\(621\) −2565.50 4092.02i −0.165781 0.264423i
\(622\) −33641.2 9340.43i −2.16863 0.602117i
\(623\) 523.793 398.177i 0.0336843 0.0256061i
\(624\) 18.6277 + 41.5580i 0.00119504 + 0.00266611i
\(625\) −592.998 2135.78i −0.0379518 0.136690i
\(626\) −21308.9 22495.6i −1.36050 1.43627i
\(627\) 30794.1 + 10786.8i 1.96140 + 0.687055i
\(628\) −16662.8 + 27693.8i −1.05879 + 1.75972i
\(629\) 19500.5 + 9021.91i 1.23615 + 0.571903i
\(630\) −869.438 10270.5i −0.0549829 0.649504i
\(631\) 15791.2 + 14958.2i 0.996258 + 0.943706i 0.998414 0.0562918i \(-0.0179277\pi\)
−0.00215620 + 0.999998i \(0.500686\pi\)
\(632\) 1935.91 2855.25i 0.121845 0.179708i
\(633\) −2777.51 2416.91i −0.174401 0.151759i
\(634\) −5298.73 48721.0i −0.331923 3.05199i
\(635\) −788.756 1310.92i −0.0492927 0.0819250i
\(636\) 3307.85 + 15931.4i 0.206234 + 0.993270i
\(637\) 1241.51 + 3684.67i 0.0772220 + 0.229187i
\(638\) 8797.47 + 39967.3i 0.545917 + 2.48013i
\(639\) 1973.47 + 10109.6i 0.122174 + 0.625867i
\(640\) 13401.8 + 11383.6i 0.827738 + 0.703087i
\(641\) 22132.4 + 3628.43i 1.36377 + 0.223579i 0.798833 0.601553i \(-0.205451\pi\)
0.564940 + 0.825132i \(0.308899\pi\)
\(642\) −90.1982 932.847i −0.00554492 0.0573466i
\(643\) 8434.39 + 21168.7i 0.517294 + 1.29831i 0.923174 + 0.384383i \(0.125586\pi\)
−0.405880 + 0.913926i \(0.633035\pi\)
\(644\) 4717.65 + 1589.56i 0.288667 + 0.0972631i
\(645\) −5394.03 + 7754.63i −0.329286 + 0.473393i
\(646\) −21753.6 47019.6i −1.32490 2.86372i
\(647\) 3139.79 + 170.234i 0.190785 + 0.0103441i 0.149284 0.988794i \(-0.452303\pi\)
0.0415012 + 0.999138i \(0.486786\pi\)
\(648\) 6872.67 15108.4i 0.416642 0.915915i
\(649\) 15164.9 19723.3i 0.917216 1.19292i
\(650\) 5624.21i 0.339384i
\(651\) −7213.53 + 11671.3i −0.434287 + 0.702661i
\(652\) 29697.3 13739.4i 1.78380 0.825272i
\(653\) 2409.30 22153.2i 0.144385 1.32760i −0.667863 0.744284i \(-0.732791\pi\)
0.812248 0.583313i \(-0.198244\pi\)
\(654\) 6370.66 + 6888.31i 0.380906 + 0.411857i
\(655\) 13960.7 5562.45i 0.832808 0.331821i
\(656\) −27.8484 + 18.8817i −0.00165746 + 0.00112379i
\(657\) −6606.26 15222.8i −0.392290 0.903955i
\(658\) −17270.3 + 20332.2i −1.02320 + 1.20461i
\(659\) 7211.58 18099.7i 0.426287 1.06990i −0.546347 0.837559i \(-0.683982\pi\)
0.972634 0.232341i \(-0.0746385\pi\)
\(660\) −26570.9 7720.23i −1.56708 0.455317i
\(661\) −18025.8 + 6073.59i −1.06070 + 0.357391i −0.794965 0.606655i \(-0.792511\pi\)
−0.265734 + 0.964046i \(0.585614\pi\)
\(662\) 34491.9 + 40607.0i 2.02502 + 2.38404i
\(663\) −385.669 9127.97i −0.0225915 0.534692i
\(664\) 20829.9 2265.39i 1.21740 0.132401i
\(665\) 2049.73 9312.04i 0.119527 0.543015i
\(666\) −641.338 + 26853.4i −0.0373143 + 1.56239i
\(667\) 3853.69 4068.30i 0.223712 0.236169i
\(668\) 47809.8 + 25347.1i 2.76918 + 1.46813i
\(669\) −13829.7 + 10254.9i −0.799235 + 0.592641i
\(670\) −11819.1 7111.33i −0.681512 0.410052i
\(671\) 10790.0 1768.93i 0.620779 0.101772i
\(672\) −2667.68 10073.1i −0.153137 0.578243i
\(673\) −12474.4 + 3463.51i −0.714493 + 0.198378i −0.605708 0.795687i \(-0.707110\pi\)
−0.108785 + 0.994065i \(0.534696\pi\)
\(674\) 14148.8 18612.4i 0.808593 1.06369i
\(675\) −7270.81 + 6409.19i −0.414598 + 0.365467i
\(676\) 6527.60 23510.3i 0.371393 1.33764i
\(677\) 14573.1 7726.19i 0.827314 0.438614i −0.000240128 1.00000i \(-0.500076\pi\)
0.827554 + 0.561386i \(0.189732\pi\)
\(678\) −1207.08 576.049i −0.0683740 0.0326298i
\(679\) 2122.05 115.054i 0.119937 0.00650277i
\(680\) 7887.51 + 14877.4i 0.444812 + 0.839005i
\(681\) 22141.5 + 21480.9i 1.24591 + 1.20874i
\(682\) 36037.1 + 47406.0i 2.02336 + 2.66168i
\(683\) −11158.4 8482.36i −0.625128 0.475210i 0.244014 0.969772i \(-0.421536\pi\)
−0.869143 + 0.494561i \(0.835329\pi\)
\(684\) 26656.5 29905.0i 1.49011 1.67170i
\(685\) 11326.1 10728.7i 0.631751 0.598426i
\(686\) 4639.46 + 28299.4i 0.258215 + 1.57504i
\(687\) 2414.20 + 4123.08i 0.134072 + 0.228974i
\(688\) 50.3287 108.784i 0.00278890 0.00602810i
\(689\) −2010.11 + 3791.47i −0.111145 + 0.209642i
\(690\) 1886.44 + 5827.78i 0.104080 + 0.321536i
\(691\) 1919.66 + 1301.56i 0.105683 + 0.0716551i 0.612884 0.790173i \(-0.290009\pi\)
−0.507201 + 0.861828i \(0.669320\pi\)
\(692\) −22561.1 4966.07i −1.23937 0.272806i
\(693\) 10393.8 + 12846.0i 0.569739 + 0.704155i
\(694\) 38983.5 23455.6i 2.13227 1.28294i
\(695\) −15146.9 + 12865.9i −0.826698 + 0.702204i
\(696\) 18965.8 + 3342.28i 1.03290 + 0.182024i
\(697\) 6591.88 1450.98i 0.358228 0.0788520i
\(698\) −29212.6 11639.3i −1.58411 0.631169i
\(699\) −6120.36 15910.8i −0.331178 0.860947i
\(700\) 1616.27 9858.80i 0.0872703 0.532325i
\(701\) 4825.15 + 7116.56i 0.259976 + 0.383436i 0.935167 0.354207i \(-0.115249\pi\)
−0.675191 + 0.737643i \(0.735939\pi\)
\(702\) 10276.1 4985.12i 0.552488 0.268022i
\(703\) −7934.15 + 23547.7i −0.425664 + 1.26333i
\(704\) −45175.5 4913.13i −2.41849 0.263026i
\(705\) −20258.9 1341.16i −1.08226 0.0716469i
\(706\) −505.370 + 9321.00i −0.0269403 + 0.496885i
\(707\) −17336.8 −0.922230
\(708\) −15289.7 26444.4i −0.811614 1.40373i
\(709\) −13284.5 −0.703683 −0.351842 0.936060i \(-0.614444\pi\)
−0.351842 + 0.936060i \(0.614444\pi\)
\(710\) 707.263 13044.7i 0.0373846 0.689519i
\(711\) −3453.89 2192.13i −0.182182 0.115628i
\(712\) −1335.90 145.288i −0.0703161 0.00764733i
\(713\) 2603.57 7727.13i 0.136753 0.405867i
\(714\) 3147.96 26047.8i 0.164999 1.36529i
\(715\) −4095.34 6040.17i −0.214206 0.315930i
\(716\) −3718.86 + 22684.1i −0.194107 + 1.18400i
\(717\) −9312.67 + 3582.28i −0.485060 + 0.186587i
\(718\) −38791.2 15455.8i −2.01626 0.803352i
\(719\) −25271.4 + 5562.65i −1.31080 + 0.288528i −0.814773 0.579780i \(-0.803139\pi\)
−0.496025 + 0.868308i \(0.665208\pi\)
\(720\) −62.1139 + 77.7823i −0.00321507 + 0.00402608i
\(721\) 7819.24 6641.72i 0.403889 0.343066i
\(722\) 24423.6 14695.2i 1.25894 0.757479i
\(723\) 6033.13 14631.5i 0.310338 0.752631i
\(724\) 39471.9 + 8688.43i 2.02619 + 0.445998i
\(725\) −9307.93 6310.93i −0.476811 0.323286i
\(726\) 38098.3 12332.3i 1.94761 0.630435i
\(727\) −16558.5 + 31232.7i −0.844734 + 1.59334i −0.0403821 + 0.999184i \(0.512858\pi\)
−0.804352 + 0.594153i \(0.797487\pi\)
\(728\) −1894.62 + 4095.15i −0.0964550 + 0.208484i
\(729\) −18155.0 7603.74i −0.922369 0.386310i
\(730\) 3404.95 + 20769.3i 0.172634 + 1.05302i
\(731\) −17456.8 + 16536.0i −0.883261 + 0.836670i
\(732\) 3042.22 13075.4i 0.153611 0.660217i
\(733\) −4389.53 3336.84i −0.221188 0.168143i 0.488712 0.872445i \(-0.337467\pi\)
−0.709900 + 0.704302i \(0.751260\pi\)
\(734\) 5080.37 + 6683.11i 0.255477 + 0.336074i
\(735\) −5917.58 + 6099.57i −0.296970 + 0.306104i
\(736\) 2900.72 + 5471.34i 0.145275 + 0.274017i
\(737\) 22081.0 1197.20i 1.10362 0.0598363i
\(738\) 4944.66 + 6837.50i 0.246633 + 0.341046i
\(739\) 11792.9 6252.22i 0.587023 0.311220i −0.148294 0.988943i \(-0.547378\pi\)
0.735317 + 0.677723i \(0.237033\pi\)
\(740\) 5637.35 20303.9i 0.280045 1.00863i
\(741\) 10446.2 1584.73i 0.517880 0.0785650i
\(742\) −7458.18 + 9811.07i −0.369001 + 0.485412i
\(743\) −4791.90 + 1330.47i −0.236606 + 0.0656932i −0.383807 0.923413i \(-0.625387\pi\)
0.147201 + 0.989107i \(0.452973\pi\)
\(744\) 27088.4 7173.86i 1.33483 0.353503i
\(745\) 4019.59 658.978i 0.197673 0.0324068i
\(746\) −41055.4 24702.2i −2.01494 1.21235i
\(747\) −3433.21 24608.6i −0.168159 1.20533i
\(748\) −62229.2 32991.8i −3.04188 1.61270i
\(749\) 301.946 318.760i 0.0147301 0.0155504i
\(750\) 30702.8 15810.9i 1.49481 0.769777i
\(751\) −894.385 + 4063.23i −0.0434575 + 0.197429i −0.993348 0.115155i \(-0.963264\pi\)
0.949890 + 0.312584i \(0.101195\pi\)
\(752\) 256.117 27.8544i 0.0124197 0.00135072i
\(753\) −19578.1 + 827.199i −0.947495 + 0.0400329i
\(754\) 8579.07 + 10100.1i 0.414365 + 0.487828i
\(755\) −7710.07 + 2597.83i −0.371653 + 0.125225i
\(756\) 19445.8 5785.42i 0.935501 0.278325i
\(757\) 7661.23 19228.2i 0.367836 0.923200i −0.622260 0.782811i \(-0.713785\pi\)
0.990096 0.140389i \(-0.0448354\pi\)
\(758\) −37640.8 + 44314.2i −1.80366 + 2.12344i
\(759\) −7746.28 6035.84i −0.370451 0.288652i
\(760\) −16118.3 + 10928.5i −0.769304 + 0.521601i
\(761\) 5269.35 2099.50i 0.251003 0.100009i −0.241243 0.970465i \(-0.577555\pi\)
0.492247 + 0.870456i \(0.336176\pi\)
\(762\) 3574.31 3305.70i 0.169926 0.157156i
\(763\) −475.255 + 4369.89i −0.0225496 + 0.207340i
\(764\) −47331.9 + 21898.1i −2.24137 + 1.03697i
\(765\) 17351.2 9883.45i 0.820044 0.467107i
\(766\) 21345.4i 1.00684i
\(767\) 1347.01 7942.91i 0.0634127 0.373927i
\(768\) −10319.9 + 18916.1i −0.484877 + 0.888770i
\(769\) 37262.8 + 2020.33i 1.74737 + 0.0947399i 0.899900 0.436096i \(-0.143639\pi\)
0.847474 + 0.530836i \(0.178122\pi\)
\(770\) −8799.83 19020.5i −0.411849 0.890198i
\(771\) 2691.22 + 1871.98i 0.125709 + 0.0874419i
\(772\) −31121.1 10485.9i −1.45087 0.488855i
\(773\) −4514.48 11330.5i<