Properties

Label 177.4.e.b.4.14
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.14
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.14

$q$-expansion

\(f(q)\) \(=\) \(q+(5.06804 + 0.551183i) q^{2} +(1.94216 - 2.28649i) q^{3} +(17.5683 + 3.86707i) q^{4} +(-15.9287 - 12.1087i) q^{5} +(11.1032 - 10.5175i) q^{6} +(8.66226 - 21.7406i) q^{7} +(48.2567 + 16.2596i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(5.06804 + 0.551183i) q^{2} +(1.94216 - 2.28649i) q^{3} +(17.5683 + 3.86707i) q^{4} +(-15.9287 - 12.1087i) q^{5} +(11.1032 - 10.5175i) q^{6} +(8.66226 - 21.7406i) q^{7} +(48.2567 + 16.2596i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-74.0531 - 70.1468i) q^{10} +(13.1894 - 6.10206i) q^{11} +(42.9624 - 32.6591i) q^{12} +(-5.18329 + 31.6167i) q^{13} +(55.8837 - 105.408i) q^{14} +(-58.6223 + 12.9038i) q^{15} +(104.995 + 48.5759i) q^{16} +(41.1760 + 103.344i) q^{17} +(-2.48396 - 45.8140i) q^{18} +(71.2333 + 105.061i) q^{19} +(-233.014 - 274.326i) q^{20} +(-32.8862 - 62.0299i) q^{21} +(70.2076 - 23.6557i) q^{22} +(7.06511 - 130.308i) q^{23} +(130.899 - 78.7596i) q^{24} +(73.6620 + 265.307i) q^{25} +(-43.6957 + 157.378i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(236.253 - 348.448i) q^{28} +(27.1282 - 2.95037i) q^{29} +(-304.213 + 33.0851i) q^{30} +(-127.019 + 187.339i) q^{31} +(156.280 + 94.0305i) q^{32} +(11.6636 - 42.0085i) q^{33} +(151.720 + 546.446i) q^{34} +(-401.228 + 241.411i) q^{35} +(8.76506 - 161.662i) q^{36} +(129.093 - 43.4964i) q^{37} +(303.105 + 571.717i) q^{38} +(62.2243 + 73.2561i) q^{39} +(-571.784 - 843.318i) q^{40} +(-10.0334 - 185.056i) q^{41} +(-132.479 - 332.496i) q^{42} +(-414.796 - 191.905i) q^{43} +(255.312 - 56.1983i) q^{44} +(-84.3497 + 159.100i) q^{45} +(107.630 - 656.513i) q^{46} +(334.404 - 254.207i) q^{47} +(314.985 - 145.728i) q^{48} +(-148.604 - 140.765i) q^{49} +(227.090 + 1385.19i) q^{50} +(316.265 + 106.562i) q^{51} +(-213.325 + 535.406i) q^{52} +(45.8869 - 43.4664i) q^{53} +(-109.577 - 83.2986i) q^{54} +(-283.977 - 62.5081i) q^{55} +(771.505 - 908.286i) q^{56} +(378.567 + 41.1717i) q^{57} +139.113 q^{58} +(-449.230 + 59.7593i) q^{59} -1079.79 q^{60} +(350.211 + 38.0877i) q^{61} +(-746.994 + 879.430i) q^{62} +(-205.701 - 45.2781i) q^{63} +(3.42113 + 2.60068i) q^{64} +(465.399 - 440.849i) q^{65} +(82.2659 - 206.472i) q^{66} +(643.101 + 216.686i) q^{67} +(323.752 + 1974.80i) q^{68} +(-284.226 - 269.234i) q^{69} +(-2166.50 + 1002.33i) q^{70} +(-7.19256 + 5.46764i) q^{71} +(74.1448 - 452.263i) q^{72} +(-151.625 + 285.995i) q^{73} +(678.222 - 149.288i) q^{74} +(749.683 + 346.840i) q^{75} +(845.166 + 2121.21i) q^{76} +(-18.4127 - 339.603i) q^{77} +(274.978 + 405.562i) q^{78} +(124.201 + 146.220i) q^{79} +(-1084.24 - 2045.10i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(51.1497 - 943.401i) q^{82} +(-867.086 + 521.708i) q^{83} +(-337.879 - 1216.93i) q^{84} +(595.478 - 2144.72i) q^{85} +(-1996.43 - 1201.21i) q^{86} +(45.9413 - 67.7583i) q^{87} +(735.693 - 80.0114i) q^{88} +(-22.5278 + 2.45005i) q^{89} +(-515.181 + 759.835i) q^{90} +(642.467 + 386.559i) q^{91} +(628.033 - 2261.97i) q^{92} +(181.657 + 654.268i) q^{93} +(1834.89 - 1104.01i) q^{94} +(137.499 - 2536.03i) q^{95} +(518.520 - 174.710i) q^{96} +(75.3037 + 142.038i) q^{97} +(-675.542 - 795.310i) q^{98} +(-73.3993 - 108.256i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.06804 + 0.551183i 1.79182 + 0.194872i 0.942772 0.333439i \(-0.108209\pi\)
0.849051 + 0.528311i \(0.177174\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 17.5683 + 3.86707i 2.19603 + 0.483383i
\(5\) −15.9287 12.1087i −1.42470 1.08303i −0.982530 0.186104i \(-0.940414\pi\)
−0.442175 0.896929i \(-0.645793\pi\)
\(6\) 11.1032 10.5175i 0.755478 0.715627i
\(7\) 8.66226 21.7406i 0.467718 1.17388i −0.486209 0.873843i \(-0.661620\pi\)
0.953926 0.300041i \(-0.0970002\pi\)
\(8\) 48.2567 + 16.2596i 2.13266 + 0.718578i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −74.0531 70.1468i −2.34177 2.21824i
\(11\) 13.1894 6.10206i 0.361522 0.167258i −0.230715 0.973021i \(-0.574107\pi\)
0.592238 + 0.805763i \(0.298245\pi\)
\(12\) 42.9624 32.6591i 1.03351 0.785657i
\(13\) −5.18329 + 31.6167i −0.110583 + 0.674529i 0.872113 + 0.489305i \(0.162749\pi\)
−0.982696 + 0.185224i \(0.940699\pi\)
\(14\) 55.8837 105.408i 1.06683 2.01225i
\(15\) −58.6223 + 12.9038i −1.00908 + 0.222116i
\(16\) 104.995 + 48.5759i 1.64055 + 0.758998i
\(17\) 41.1760 + 103.344i 0.587449 + 1.47439i 0.859007 + 0.511964i \(0.171082\pi\)
−0.271557 + 0.962422i \(0.587539\pi\)
\(18\) −2.48396 45.8140i −0.0325264 0.599915i
\(19\) 71.2333 + 105.061i 0.860107 + 1.26856i 0.961802 + 0.273748i \(0.0882633\pi\)
−0.101694 + 0.994816i \(0.532426\pi\)
\(20\) −233.014 274.326i −2.60518 3.06705i
\(21\) −32.8862 62.0299i −0.341731 0.644573i
\(22\) 70.2076 23.6557i 0.680378 0.229246i
\(23\) 7.06511 130.308i 0.0640512 1.18135i −0.773064 0.634328i \(-0.781277\pi\)
0.837115 0.547026i \(-0.184240\pi\)
\(24\) 130.899 78.7596i 1.11332 0.669864i
\(25\) 73.6620 + 265.307i 0.589296 + 2.12245i
\(26\) −43.6957 + 157.378i −0.329593 + 1.18709i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) 236.253 348.448i 1.59456 2.35180i
\(29\) 27.1282 2.95037i 0.173710 0.0188921i −0.0208508 0.999783i \(-0.506637\pi\)
0.194560 + 0.980891i \(0.437672\pi\)
\(30\) −304.213 + 33.0851i −1.85138 + 0.201350i
\(31\) −127.019 + 187.339i −0.735911 + 1.08539i 0.256986 + 0.966415i \(0.417271\pi\)
−0.992897 + 0.118973i \(0.962040\pi\)
\(32\) 156.280 + 94.0305i 0.863333 + 0.519450i
\(33\) 11.6636 42.0085i 0.0615264 0.221598i
\(34\) 151.720 + 546.446i 0.765288 + 2.75632i
\(35\) −401.228 + 241.411i −1.93771 + 1.16588i
\(36\) 8.76506 161.662i 0.0405790 0.748435i
\(37\) 129.093 43.4964i 0.573587 0.193264i −0.0175348 0.999846i \(-0.505582\pi\)
0.591122 + 0.806582i \(0.298685\pi\)
\(38\) 303.105 + 571.717i 1.29395 + 2.44065i
\(39\) 62.2243 + 73.2561i 0.255484 + 0.300778i
\(40\) −571.784 843.318i −2.26017 3.33351i
\(41\) −10.0334 185.056i −0.0382185 0.704900i −0.953373 0.301795i \(-0.902414\pi\)
0.915154 0.403104i \(-0.132069\pi\)
\(42\) −132.479 332.496i −0.486712 1.22155i
\(43\) −414.796 191.905i −1.47106 0.680587i −0.489550 0.871975i \(-0.662839\pi\)
−0.981514 + 0.191389i \(0.938701\pi\)
\(44\) 255.312 56.1983i 0.874765 0.192550i
\(45\) −84.3497 + 159.100i −0.279425 + 0.527051i
\(46\) 107.630 656.513i 0.344982 2.10430i
\(47\) 334.404 254.207i 1.03782 0.788934i 0.0599662 0.998200i \(-0.480901\pi\)
0.977859 + 0.209266i \(0.0671076\pi\)
\(48\) 314.985 145.728i 0.947171 0.438208i
\(49\) −148.604 140.765i −0.433247 0.410393i
\(50\) 227.090 + 1385.19i 0.642307 + 3.91790i
\(51\) 316.265 + 106.562i 0.868351 + 0.292582i
\(52\) −213.325 + 535.406i −0.568901 + 1.42783i
\(53\) 45.8869 43.4664i 0.118925 0.112652i −0.625926 0.779882i \(-0.715279\pi\)
0.744852 + 0.667230i \(0.232520\pi\)
\(54\) −109.577 83.2986i −0.276141 0.209917i
\(55\) −283.977 62.5081i −0.696209 0.153247i
\(56\) 771.505 908.286i 1.84101 2.16741i
\(57\) 378.567 + 41.1717i 0.879693 + 0.0956724i
\(58\) 139.113 0.314938
\(59\) −449.230 + 59.7593i −0.991268 + 0.131864i
\(60\) −1079.79 −2.32334
\(61\) 350.211 + 38.0877i 0.735080 + 0.0799448i 0.467999 0.883729i \(-0.344975\pi\)
0.267081 + 0.963674i \(0.413941\pi\)
\(62\) −746.994 + 879.430i −1.53014 + 1.80141i
\(63\) −205.701 45.2781i −0.411363 0.0905477i
\(64\) 3.42113 + 2.60068i 0.00668190 + 0.00507945i
\(65\) 465.399 440.849i 0.888086 0.841240i
\(66\) 82.2659 206.472i 0.153428 0.385075i
\(67\) 643.101 + 216.686i 1.17265 + 0.395110i 0.837172 0.546940i \(-0.184207\pi\)
0.335473 + 0.942050i \(0.391104\pi\)
\(68\) 323.752 + 1974.80i 0.577364 + 3.52176i
\(69\) −284.226 269.234i −0.495896 0.469738i
\(70\) −2166.50 + 1002.33i −3.69924 + 1.71145i
\(71\) −7.19256 + 5.46764i −0.0120225 + 0.00913929i −0.611168 0.791501i \(-0.709300\pi\)
0.599146 + 0.800640i \(0.295507\pi\)
\(72\) 74.1448 452.263i 0.121362 0.740274i
\(73\) −151.625 + 285.995i −0.243101 + 0.458537i −0.974797 0.223094i \(-0.928384\pi\)
0.731696 + 0.681631i \(0.238729\pi\)
\(74\) 678.222 149.288i 1.06543 0.234518i
\(75\) 749.683 + 346.840i 1.15421 + 0.533996i
\(76\) 845.166 + 2121.21i 1.27562 + 3.20157i
\(77\) −18.4127 339.603i −0.0272510 0.502615i
\(78\) 274.978 + 405.562i 0.399168 + 0.588728i
\(79\) 124.201 + 146.220i 0.176882 + 0.208242i 0.843457 0.537196i \(-0.180516\pi\)
−0.666575 + 0.745438i \(0.732241\pi\)
\(80\) −1084.24 2045.10i −1.51528 2.85812i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 51.1497 943.401i 0.0688847 1.27050i
\(83\) −867.086 + 521.708i −1.14669 + 0.689939i −0.956478 0.291804i \(-0.905744\pi\)
−0.190210 + 0.981744i \(0.560917\pi\)
\(84\) −337.879 1216.93i −0.438876 1.58069i
\(85\) 595.478 2144.72i 0.759867 2.73679i
\(86\) −1996.43 1201.21i −2.50326 1.50616i
\(87\) 45.9413 67.7583i 0.0566141 0.0834995i
\(88\) 735.693 80.0114i 0.891194 0.0969232i
\(89\) −22.5278 + 2.45005i −0.0268308 + 0.00291803i −0.121525 0.992588i \(-0.538778\pi\)
0.0946938 + 0.995506i \(0.469813\pi\)
\(90\) −515.181 + 759.835i −0.603387 + 0.889929i
\(91\) 642.467 + 386.559i 0.740097 + 0.445302i
\(92\) 628.033 2261.97i 0.711706 2.56333i
\(93\) 181.657 + 654.268i 0.202548 + 0.729510i
\(94\) 1834.89 1104.01i 2.01334 1.21139i
\(95\) 137.499 2536.03i 0.148496 2.73885i
\(96\) 518.520 174.710i 0.551263 0.185742i
\(97\) 75.3037 + 142.038i 0.0788241 + 0.148678i 0.919791 0.392408i \(-0.128358\pi\)
−0.840967 + 0.541086i \(0.818013\pi\)
\(98\) −675.542 795.310i −0.696327 0.819780i
\(99\) −73.3993 108.256i −0.0745142 0.109900i
\(100\) 268.155 + 4945.83i 0.268155 + 4.94583i
\(101\) −164.150 411.985i −0.161718 0.405882i 0.825680 0.564139i \(-0.190792\pi\)
−0.987398 + 0.158257i \(0.949412\pi\)
\(102\) 1544.11 + 714.380i 1.49892 + 0.693472i
\(103\) −1565.55 + 344.604i −1.49765 + 0.329659i −0.886826 0.462104i \(-0.847095\pi\)
−0.610829 + 0.791763i \(0.709164\pi\)
\(104\) −764.202 + 1441.44i −0.720540 + 1.35908i
\(105\) −227.266 + 1386.26i −0.211228 + 1.28843i
\(106\) 256.514 194.997i 0.235046 0.178677i
\(107\) −1430.04 + 661.609i −1.29203 + 0.597758i −0.940937 0.338581i \(-0.890053\pi\)
−0.351096 + 0.936339i \(0.614191\pi\)
\(108\) −352.615 334.015i −0.314170 0.297598i
\(109\) 297.598 + 1815.27i 0.261511 + 1.59515i 0.711878 + 0.702303i \(0.247845\pi\)
−0.450367 + 0.892844i \(0.648707\pi\)
\(110\) −1404.75 473.317i −1.21762 0.410264i
\(111\) 151.265 379.646i 0.129346 0.324634i
\(112\) 1965.56 1861.88i 1.65829 1.57082i
\(113\) 948.981 + 721.397i 0.790023 + 0.600560i 0.920433 0.390900i \(-0.127836\pi\)
−0.130410 + 0.991460i \(0.541629\pi\)
\(114\) 1895.90 + 417.320i 1.55761 + 0.342856i
\(115\) −1690.40 + 1990.09i −1.37070 + 1.61371i
\(116\) 488.005 + 53.0737i 0.390604 + 0.0424808i
\(117\) 288.348 0.227845
\(118\) −2309.66 + 55.2545i −1.80187 + 0.0431067i
\(119\) 2603.44 2.00552
\(120\) −3038.73 330.482i −2.31164 0.251406i
\(121\) −724.947 + 853.473i −0.544663 + 0.641227i
\(122\) 1753.89 + 386.060i 1.30155 + 0.286494i
\(123\) −442.614 336.467i −0.324465 0.246652i
\(124\) −2955.95 + 2800.03i −2.14074 + 2.02782i
\(125\) 1113.43 2794.50i 0.796706 1.99958i
\(126\) −1017.54 342.850i −0.719444 0.242409i
\(127\) −119.522 729.049i −0.0835104 0.509391i −0.995147 0.0983947i \(-0.968629\pi\)
0.911637 0.410996i \(-0.134819\pi\)
\(128\) −1043.39 988.356i −0.720499 0.682493i
\(129\) −1244.39 + 575.715i −0.849319 + 0.392937i
\(130\) 2601.65 1977.72i 1.75523 1.33429i
\(131\) −139.479 + 850.787i −0.0930257 + 0.567432i 0.898649 + 0.438667i \(0.144549\pi\)
−0.991675 + 0.128764i \(0.958899\pi\)
\(132\) 367.359 692.912i 0.242231 0.456896i
\(133\) 2901.14 638.589i 1.89143 0.416336i
\(134\) 3139.83 + 1452.64i 2.02418 + 0.936484i
\(135\) 199.960 + 501.862i 0.127480 + 0.319951i
\(136\) 306.689 + 5656.54i 0.193370 + 3.56650i
\(137\) −1310.65 1933.06i −0.817344 1.20549i −0.975916 0.218145i \(-0.930000\pi\)
0.158573 0.987347i \(-0.449311\pi\)
\(138\) −1292.07 1521.15i −0.797019 0.938324i
\(139\) −447.318 843.731i −0.272957 0.514851i 0.708699 0.705510i \(-0.249282\pi\)
−0.981656 + 0.190659i \(0.938937\pi\)
\(140\) −7982.44 + 2689.60i −4.81885 + 1.62366i
\(141\) 68.2241 1258.32i 0.0407483 0.751557i
\(142\) −39.4659 + 23.7458i −0.0233232 + 0.0140331i
\(143\) 124.562 + 448.633i 0.0728421 + 0.262354i
\(144\) 278.547 1003.24i 0.161196 0.580576i
\(145\) −467.842 281.491i −0.267946 0.161218i
\(146\) −926.077 + 1365.86i −0.524950 + 0.774243i
\(147\) −610.469 + 66.3925i −0.342521 + 0.0372514i
\(148\) 2436.14 264.946i 1.35304 0.147152i
\(149\) 752.832 1110.34i 0.413922 0.610489i −0.562386 0.826875i \(-0.690116\pi\)
0.976308 + 0.216386i \(0.0694268\pi\)
\(150\) 3608.25 + 2171.01i 1.96408 + 1.18175i
\(151\) 371.603 1338.39i 0.200269 0.721304i −0.793375 0.608734i \(-0.791678\pi\)
0.993644 0.112570i \(-0.0359084\pi\)
\(152\) 1729.23 + 6228.13i 0.922758 + 3.32347i
\(153\) 857.888 516.174i 0.453308 0.272747i
\(154\) 93.8667 1731.27i 0.0491169 0.905907i
\(155\) 4291.67 1446.03i 2.22397 0.749342i
\(156\) 809.886 + 1527.61i 0.415659 + 0.784016i
\(157\) 1419.98 + 1671.73i 0.721827 + 0.849800i 0.993646 0.112548i \(-0.0359013\pi\)
−0.271820 + 0.962348i \(0.587625\pi\)
\(158\) 548.860 + 809.509i 0.276361 + 0.407602i
\(159\) −10.2656 189.338i −0.00512023 0.0944371i
\(160\) −1350.75 3390.12i −0.667413 1.67508i
\(161\) −2771.78 1282.36i −1.35681 0.627729i
\(162\) −403.278 + 88.7681i −0.195583 + 0.0430511i
\(163\) 1385.47 2613.28i 0.665758 1.25575i −0.288704 0.957418i \(-0.593224\pi\)
0.954462 0.298334i \(-0.0964308\pi\)
\(164\) 539.354 3289.91i 0.256808 1.56646i
\(165\) −694.453 + 527.909i −0.327655 + 0.249077i
\(166\) −4681.98 + 2166.12i −2.18911 + 1.01279i
\(167\) 507.854 + 481.065i 0.235323 + 0.222910i 0.796269 0.604943i \(-0.206804\pi\)
−0.560946 + 0.827852i \(0.689563\pi\)
\(168\) −578.398 3528.07i −0.265621 1.62022i
\(169\) 1109.25 + 373.749i 0.504892 + 0.170118i
\(170\) 4200.04 10541.3i 1.89487 4.75577i
\(171\) 829.377 785.627i 0.370901 0.351336i
\(172\) −6545.13 4975.48i −2.90152 2.20568i
\(173\) −1047.04 230.472i −0.460146 0.101286i −0.0211528 0.999776i \(-0.506734\pi\)
−0.438993 + 0.898491i \(0.644665\pi\)
\(174\) 270.180 318.080i 0.117714 0.138584i
\(175\) 6406.01 + 696.696i 2.76714 + 0.300944i
\(176\) 1681.23 0.720044
\(177\) −735.838 + 1143.22i −0.312480 + 0.485479i
\(178\) −115.522 −0.0486447
\(179\) −911.428 99.1238i −0.380577 0.0413903i −0.0841687 0.996452i \(-0.526823\pi\)
−0.296409 + 0.955061i \(0.595789\pi\)
\(180\) −2097.13 + 2468.93i −0.868393 + 1.02235i
\(181\) −2079.57 457.748i −0.853995 0.187979i −0.233663 0.972318i \(-0.575071\pi\)
−0.620332 + 0.784339i \(0.713002\pi\)
\(182\) 3042.98 + 2313.22i 1.23935 + 0.942126i
\(183\) 767.252 726.780i 0.309928 0.293580i
\(184\) 2459.70 6173.37i 0.985495 2.47341i
\(185\) −2582.96 870.301i −1.02650 0.345869i
\(186\) 560.022 + 3415.98i 0.220768 + 1.34662i
\(187\) 1173.70 + 1111.78i 0.458979 + 0.434768i
\(188\) 6857.93 3172.81i 2.66046 1.23086i
\(189\) −503.031 + 382.394i −0.193599 + 0.147170i
\(190\) 2094.67 12776.9i 0.799806 4.87860i
\(191\) 1078.61 2034.48i 0.408616 0.770731i −0.590731 0.806869i \(-0.701161\pi\)
0.999347 + 0.0361373i \(0.0115054\pi\)
\(192\) 12.5908 2.77144i 0.00473261 0.00104173i
\(193\) 1437.25 + 664.941i 0.536038 + 0.247998i 0.669181 0.743099i \(-0.266645\pi\)
−0.133143 + 0.991097i \(0.542507\pi\)
\(194\) 303.354 + 761.360i 0.112266 + 0.281765i
\(195\) −104.117 1920.33i −0.0382358 0.705218i
\(196\) −2066.36 3047.65i −0.753047 1.11066i
\(197\) −1176.23 1384.77i −0.425396 0.500815i 0.507154 0.861855i \(-0.330697\pi\)
−0.932550 + 0.361041i \(0.882422\pi\)
\(198\) −312.322 589.101i −0.112100 0.211442i
\(199\) −1782.01 + 600.431i −0.634792 + 0.213886i −0.618256 0.785977i \(-0.712160\pi\)
−0.0165363 + 0.999863i \(0.505264\pi\)
\(200\) −759.087 + 14000.5i −0.268378 + 4.94994i
\(201\) 1744.45 1049.60i 0.612160 0.368325i
\(202\) −604.839 2178.43i −0.210675 0.758782i
\(203\) 170.849 615.341i 0.0590700 0.212751i
\(204\) 5144.14 + 3095.12i 1.76550 + 1.06227i
\(205\) −2080.96 + 3069.19i −0.708979 + 1.04567i
\(206\) −8124.22 + 883.562i −2.74777 + 0.298838i
\(207\) −1167.61 + 126.985i −0.392051 + 0.0426382i
\(208\) −2080.03 + 3067.81i −0.693384 + 1.02267i
\(209\) 1580.61 + 951.023i 0.523126 + 0.314754i
\(210\) −1915.88 + 6900.37i −0.629562 + 2.26748i
\(211\) −701.769 2527.54i −0.228966 0.824660i −0.985352 0.170534i \(-0.945451\pi\)
0.756386 0.654126i \(-0.226963\pi\)
\(212\) 974.240 586.181i 0.315618 0.189901i
\(213\) −1.46741 + 27.0647i −0.000472042 + 0.00870631i
\(214\) −7612.19 + 2564.84i −2.43158 + 0.819295i
\(215\) 4283.44 + 8079.42i 1.35873 + 2.56285i
\(216\) −890.093 1047.90i −0.280385 0.330095i
\(217\) 2972.59 + 4384.25i 0.929920 + 1.37153i
\(218\) 507.695 + 9363.88i 0.157731 + 2.90918i
\(219\) 359.444 + 902.136i 0.110909 + 0.278359i
\(220\) −4747.26 2196.32i −1.45482 0.673072i
\(221\) −3480.81 + 766.185i −1.05948 + 0.233209i
\(222\) 975.870 1840.69i 0.295027 0.556481i
\(223\) 519.316 3167.69i 0.155946 0.951229i −0.786676 0.617366i \(-0.788200\pi\)
0.942622 0.333862i \(-0.108352\pi\)
\(224\) 3398.02 2583.11i 1.01357 0.770496i
\(225\) 2249.05 1040.52i 0.666385 0.308303i
\(226\) 4411.85 + 4179.13i 1.29855 + 1.23005i
\(227\) −728.690 4444.81i −0.213061 1.29961i −0.849213 0.528051i \(-0.822923\pi\)
0.636152 0.771564i \(-0.280525\pi\)
\(228\) 6491.56 + 2187.26i 1.88559 + 0.635329i
\(229\) −1383.46 + 3472.22i −0.399221 + 1.00197i 0.582702 + 0.812686i \(0.301996\pi\)
−0.981923 + 0.189283i \(0.939384\pi\)
\(230\) −9663.91 + 9154.14i −2.77052 + 2.62437i
\(231\) −812.258 617.462i −0.231353 0.175870i
\(232\) 1357.09 + 298.718i 0.384040 + 0.0845336i
\(233\) 1165.86 1372.56i 0.327803 0.385920i −0.573430 0.819255i \(-0.694387\pi\)
0.901233 + 0.433335i \(0.142663\pi\)
\(234\) 1461.36 + 158.933i 0.408257 + 0.0444006i
\(235\) −8404.72 −2.33304
\(236\) −8123.29 687.337i −2.24060 0.189584i
\(237\) 575.549 0.157746
\(238\) 13194.3 + 1434.97i 3.59353 + 0.390820i
\(239\) 3478.20 4094.85i 0.941364 1.10826i −0.0526067 0.998615i \(-0.516753\pi\)
0.993971 0.109644i \(-0.0349712\pi\)
\(240\) −6781.87 1492.80i −1.82403 0.401500i
\(241\) 2744.56 + 2086.36i 0.733580 + 0.557653i 0.903904 0.427735i \(-0.140688\pi\)
−0.170324 + 0.985388i \(0.554482\pi\)
\(242\) −4144.48 + 3925.86i −1.10090 + 1.04283i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) 6005.31 + 2023.42i 1.57562 + 0.530887i
\(245\) 662.585 + 4041.59i 0.172780 + 1.05391i
\(246\) −2057.73 1949.19i −0.533318 0.505186i
\(247\) −3690.91 + 1707.60i −0.950797 + 0.439885i
\(248\) −9175.56 + 6975.08i −2.34939 + 1.78596i
\(249\) −491.140 + 2995.82i −0.124999 + 0.762460i
\(250\) 7183.19 13548.9i 1.81722 3.42764i
\(251\) 1053.95 231.992i 0.265038 0.0583394i −0.0804630 0.996758i \(-0.525640\pi\)
0.345501 + 0.938418i \(0.387709\pi\)
\(252\) −3438.71 1590.92i −0.859596 0.397692i
\(253\) −701.964 1761.80i −0.174435 0.437799i
\(254\) −203.901 3760.73i −0.0503696 0.929012i
\(255\) −3747.36 5526.94i −0.920269 1.35729i
\(256\) −4765.46 5610.33i −1.16344 1.36971i
\(257\) −2998.45 5655.67i −0.727774 1.37273i −0.920213 0.391419i \(-0.871984\pi\)
0.192438 0.981309i \(-0.438361\pi\)
\(258\) −6623.93 + 2231.86i −1.59840 + 0.538564i
\(259\) 172.595 3183.33i 0.0414075 0.763717i
\(260\) 9881.04 5945.22i 2.35691 1.41810i
\(261\) −65.7032 236.642i −0.0155821 0.0561216i
\(262\) −1175.83 + 4234.94i −0.277262 + 0.998609i
\(263\) 3804.76 + 2289.25i 0.892059 + 0.536734i 0.886228 0.463249i \(-0.153316\pi\)
0.00583101 + 0.999983i \(0.498144\pi\)
\(264\) 1245.89 1837.55i 0.290451 0.428383i
\(265\) −1257.24 + 136.733i −0.291440 + 0.0316960i
\(266\) 15055.1 1637.34i 3.47025 0.377412i
\(267\) −38.1506 + 56.2679i −0.00874449 + 0.0128972i
\(268\) 10460.2 + 6293.71i 2.38418 + 1.43451i
\(269\) −790.575 + 2847.39i −0.179190 + 0.645385i 0.818313 + 0.574772i \(0.194909\pi\)
−0.997504 + 0.0706130i \(0.977504\pi\)
\(270\) 736.789 + 2653.67i 0.166072 + 0.598139i
\(271\) −4307.25 + 2591.59i −0.965486 + 0.580914i −0.908690 0.417472i \(-0.862916\pi\)
−0.0567966 + 0.998386i \(0.518089\pi\)
\(272\) −696.748 + 12850.8i −0.155318 + 2.86468i
\(273\) 2131.64 718.232i 0.472573 0.159228i
\(274\) −5576.94 10519.2i −1.22962 2.31931i
\(275\) 2590.47 + 3049.74i 0.568041 + 0.668750i
\(276\) −3952.22 5829.09i −0.861941 1.27127i
\(277\) 151.343 + 2791.36i 0.0328279 + 0.605475i 0.967949 + 0.251147i \(0.0808078\pi\)
−0.935121 + 0.354328i \(0.884709\pi\)
\(278\) −1801.97 4522.61i −0.388760 0.975714i
\(279\) 1848.78 + 855.338i 0.396716 + 0.183540i
\(280\) −23287.2 + 5125.90i −4.97027 + 1.09404i
\(281\) −3495.46 + 6593.13i −0.742069 + 1.39969i 0.168234 + 0.985747i \(0.446194\pi\)
−0.910303 + 0.413943i \(0.864151\pi\)
\(282\) 1039.33 6339.61i 0.219472 1.33872i
\(283\) 3260.37 2478.47i 0.684838 0.520600i −0.203914 0.978989i \(-0.565366\pi\)
0.888752 + 0.458388i \(0.151573\pi\)
\(284\) −147.505 + 68.2429i −0.0308197 + 0.0142587i
\(285\) −5531.55 5239.76i −1.14969 1.08904i
\(286\) 384.008 + 2342.35i 0.0793946 + 0.484286i
\(287\) −4110.14 1384.87i −0.845345 0.284830i
\(288\) 607.577 1524.90i 0.124312 0.311999i
\(289\) −5417.68 + 5131.90i −1.10272 + 1.04456i
\(290\) −2215.89 1684.47i −0.448694 0.341089i
\(291\) 471.020 + 103.679i 0.0948854 + 0.0208859i
\(292\) −3769.75 + 4438.09i −0.755507 + 0.889451i
\(293\) −2855.12 310.513i −0.569276 0.0619125i −0.181045 0.983475i \(-0.557948\pi\)
−0.388231 + 0.921562i \(0.626914\pi\)
\(294\) −3130.47 −0.620997
\(295\) 7879.25 + 4487.70i 1.55508 + 0.885708i
\(296\) 6936.82 1.36214
\(297\) −390.079 42.4236i −0.0762109 0.00828844i
\(298\) 4427.38 5212.32i 0.860642 1.01323i
\(299\) 4083.29 + 898.800i 0.789775 + 0.173843i
\(300\) 11829.4 + 8992.46i 2.27657 + 1.73060i
\(301\) −7765.20 + 7355.59i −1.48697 + 1.40854i
\(302\) 2621.00 6578.21i 0.499409 1.25342i
\(303\) −1260.80 424.814i −0.239047 0.0805443i
\(304\) 2375.70 + 14491.1i 0.448210 + 2.73396i
\(305\) −5117.20 4847.27i −0.960689 0.910013i
\(306\) 4632.32 2143.14i 0.865399 0.400376i
\(307\) −8196.14 + 6230.55i −1.52371 + 1.15829i −0.586284 + 0.810106i \(0.699410\pi\)
−0.937425 + 0.348188i \(0.886797\pi\)
\(308\) 989.788 6037.44i 0.183112 1.11693i
\(309\) −2252.62 + 4248.89i −0.414715 + 0.782236i
\(310\) 22547.4 4963.05i 4.13098 0.909298i
\(311\) 1768.46 + 818.175i 0.322444 + 0.149178i 0.574433 0.818552i \(-0.305223\pi\)
−0.251989 + 0.967730i \(0.581085\pi\)
\(312\) 1811.63 + 4546.84i 0.328728 + 0.825045i
\(313\) −272.628 5028.33i −0.0492327 0.908045i −0.913960 0.405803i \(-0.866992\pi\)
0.864728 0.502241i \(-0.167491\pi\)
\(314\) 6275.09 + 9255.06i 1.12778 + 1.66335i
\(315\) 2728.28 + 3211.98i 0.488004 + 0.574523i
\(316\) 1616.55 + 3049.13i 0.287778 + 0.542807i
\(317\) −1900.92 + 640.494i −0.336802 + 0.113482i −0.482621 0.875830i \(-0.660315\pi\)
0.145818 + 0.989311i \(0.453418\pi\)
\(318\) 52.3334 965.232i 0.00922865 0.170212i
\(319\) 339.801 204.451i 0.0596401 0.0358843i
\(320\) −23.0034 82.8507i −0.00401853 0.0144734i
\(321\) −1264.61 + 4554.72i −0.219887 + 0.791962i
\(322\) −13340.7 8026.83i −2.30884 1.38919i
\(323\) −7924.34 + 11687.5i −1.36508 + 2.01335i
\(324\) −1448.55 + 157.540i −0.248380 + 0.0270130i
\(325\) −8769.92 + 953.786i −1.49682 + 0.162789i
\(326\) 8462.02 12480.5i 1.43763 2.12035i
\(327\) 4728.57 + 2845.08i 0.799664 + 0.481142i
\(328\) 2524.75 9093.33i 0.425018 1.53078i
\(329\) −2629.93 9472.15i −0.440707 1.58728i
\(330\) −3810.49 + 2292.70i −0.635638 + 0.382451i
\(331\) 79.1659 1460.13i 0.0131461 0.242465i −0.984574 0.174971i \(-0.944017\pi\)
0.997720 0.0674941i \(-0.0215004\pi\)
\(332\) −17250.7 + 5812.43i −2.85167 + 0.960839i
\(333\) −574.275 1083.20i −0.0945047 0.178255i
\(334\) 2308.67 + 2717.98i 0.378218 + 0.445273i
\(335\) −7619.97 11238.6i −1.24276 1.83293i
\(336\) −439.728 8110.31i −0.0713962 1.31683i
\(337\) −625.745 1570.50i −0.101147 0.253859i 0.869691 0.493597i \(-0.164318\pi\)
−0.970838 + 0.239737i \(0.922939\pi\)
\(338\) 5415.71 + 2505.57i 0.871526 + 0.403211i
\(339\) 3492.54 768.765i 0.559553 0.123167i
\(340\) 18755.3 35376.2i 2.99161 5.64278i
\(341\) −532.148 + 3245.96i −0.0845086 + 0.515479i
\(342\) 4636.34 3524.45i 0.733054 0.557253i
\(343\) 2937.68 1359.12i 0.462449 0.213952i
\(344\) −16896.4 16005.1i −2.64823 2.50854i
\(345\) 1267.29 + 7730.14i 0.197764 + 1.20631i
\(346\) −5179.43 1745.15i −0.804762 0.271156i
\(347\) −1508.77 + 3786.72i −0.233415 + 0.585827i −0.998297 0.0583439i \(-0.981418\pi\)
0.764882 + 0.644171i \(0.222797\pi\)
\(348\) 1069.13 1012.74i 0.164689 0.156001i
\(349\) 10053.1 + 7642.14i 1.54191 + 1.17213i 0.921828 + 0.387600i \(0.126696\pi\)
0.620087 + 0.784533i \(0.287097\pi\)
\(350\) 32081.9 + 7061.77i 4.89957 + 1.07848i
\(351\) 560.018 659.305i 0.0851612 0.100259i
\(352\) 2635.01 + 286.575i 0.398996 + 0.0433935i
\(353\) 8063.56 1.21581 0.607904 0.794011i \(-0.292011\pi\)
0.607904 + 0.794011i \(0.292011\pi\)
\(354\) −4359.38 + 5388.31i −0.654515 + 0.808998i
\(355\) 180.774 0.0270267
\(356\) −405.249 44.0735i −0.0603319 0.00656149i
\(357\) 5056.29 5952.72i 0.749600 0.882497i
\(358\) −4564.52 1004.73i −0.673861 0.148328i
\(359\) 1964.63 + 1493.47i 0.288827 + 0.219561i 0.739547 0.673105i \(-0.235040\pi\)
−0.450720 + 0.892665i \(0.648833\pi\)
\(360\) −6657.34 + 6306.17i −0.974646 + 0.923234i
\(361\) −3424.91 + 8595.87i −0.499330 + 1.25322i
\(362\) −10287.0 3466.11i −1.49358 0.503245i
\(363\) 543.493 + 3315.16i 0.0785840 + 0.479341i
\(364\) 9792.18 + 9275.64i 1.41003 + 1.33565i
\(365\) 5878.21 2719.55i 0.842957 0.389994i
\(366\) 4289.05 3260.45i 0.612547 0.465646i
\(367\) 1103.58 6731.52i 0.156965 0.957446i −0.784449 0.620194i \(-0.787054\pi\)
0.941414 0.337253i \(-0.109498\pi\)
\(368\) 7071.64 13338.5i 1.00173 1.88945i
\(369\) −1628.95 + 358.560i −0.229810 + 0.0505850i
\(370\) −12610.9 5834.40i −1.77191 0.819774i
\(371\) −547.502 1374.13i −0.0766169 0.192294i
\(372\) 661.293 + 12196.8i 0.0921679 + 1.69994i
\(373\) −3724.55 5493.30i −0.517024 0.762554i 0.476129 0.879376i \(-0.342040\pi\)
−0.993153 + 0.116822i \(0.962729\pi\)
\(374\) 5335.54 + 6281.48i 0.737685 + 0.868470i
\(375\) −4227.12 7973.20i −0.582101 1.09796i
\(376\) 20270.5 6829.93i 2.78024 0.936773i
\(377\) −47.3324 + 872.995i −0.00646617 + 0.119261i
\(378\) −2760.15 + 1660.73i −0.375574 + 0.225975i
\(379\) 2614.07 + 9415.01i 0.354289 + 1.27603i 0.899199 + 0.437539i \(0.144150\pi\)
−0.544910 + 0.838494i \(0.683436\pi\)
\(380\) 12222.6 44021.9i 1.65002 5.94283i
\(381\) −1899.09 1142.64i −0.255363 0.153647i
\(382\) 6587.82 9716.30i 0.882361 1.30139i
\(383\) −1890.39 + 205.592i −0.252205 + 0.0274289i −0.233348 0.972393i \(-0.574968\pi\)
−0.0188566 + 0.999822i \(0.506003\pi\)
\(384\) −4286.30 + 466.163i −0.569621 + 0.0619500i
\(385\) −3818.85 + 5632.38i −0.505524 + 0.745592i
\(386\) 6917.52 + 4162.14i 0.912157 + 0.548827i
\(387\) −1100.43 + 3963.40i −0.144543 + 0.520597i
\(388\) 773.686 + 2786.56i 0.101232 + 0.364604i
\(389\) −7497.52 + 4511.11i −0.977222 + 0.587975i −0.912129 0.409904i \(-0.865562\pi\)
−0.0650938 + 0.997879i \(0.520735\pi\)
\(390\) 530.781 9789.68i 0.0689157 1.27108i
\(391\) 13757.5 4635.43i 1.77940 0.599550i
\(392\) −4882.34 9209.08i −0.629070 1.18655i
\(393\) 1674.42 + 1971.28i 0.214919 + 0.253023i
\(394\) −5197.93 7666.37i −0.664639 0.980269i
\(395\) −207.820 3833.01i −0.0264722 0.488252i
\(396\) −870.865 2185.71i −0.110512 0.277363i
\(397\) −3147.38 1456.13i −0.397891 0.184084i 0.210731 0.977544i \(-0.432415\pi\)
−0.608622 + 0.793460i \(0.708278\pi\)
\(398\) −9362.27 + 2060.79i −1.17912 + 0.259543i
\(399\) 4174.35 7873.65i 0.523756 0.987909i
\(400\) −5153.36 + 31434.1i −0.644170 + 3.92926i
\(401\) 4839.36 3678.79i 0.602659 0.458129i −0.258818 0.965926i \(-0.583333\pi\)
0.861477 + 0.507797i \(0.169540\pi\)
\(402\) 9419.48 4357.91i 1.16866 0.540679i
\(403\) −5264.65 4986.94i −0.650747 0.616420i
\(404\) −1290.65 7872.64i −0.158942 0.969501i
\(405\) 1535.86 + 517.490i 0.188438 + 0.0634921i
\(406\) 1205.03 3024.40i 0.147302 0.369701i
\(407\) 1437.24 1361.42i 0.175040 0.165806i
\(408\) 13529.2 + 10284.7i 1.64166 + 1.24796i
\(409\) −873.447 192.260i −0.105597 0.0232437i 0.161858 0.986814i \(-0.448251\pi\)
−0.267455 + 0.963570i \(0.586183\pi\)
\(410\) −12238.1 + 14407.8i −1.47414 + 1.73549i
\(411\) −6965.40 757.533i −0.835955 0.0909156i
\(412\) −28836.6 −3.44825
\(413\) −2592.14 + 10284.2i −0.308840 + 1.22531i
\(414\) −5987.50 −0.710796
\(415\) 20128.7 + 2189.13i 2.38092 + 0.258940i
\(416\) −3782.97 + 4453.66i −0.445855 + 0.524901i
\(417\) −2797.94 615.873i −0.328575 0.0723248i
\(418\) 7486.42 + 5691.03i 0.876011 + 0.665927i
\(419\) 3529.90 3343.70i 0.411568 0.389858i −0.453711 0.891149i \(-0.649900\pi\)
0.865279 + 0.501291i \(0.167141\pi\)
\(420\) −9353.44 + 23475.4i −1.08667 + 2.72733i
\(421\) −8553.45 2881.99i −0.990189 0.333634i −0.222834 0.974856i \(-0.571531\pi\)
−0.767355 + 0.641223i \(0.778427\pi\)
\(422\) −2163.46 13196.5i −0.249562 1.52226i
\(423\) −2744.63 2599.85i −0.315481 0.298839i
\(424\) 2921.09 1351.44i 0.334578 0.154792i
\(425\) −24384.7 + 18536.8i −2.78313 + 2.11568i
\(426\) −22.3545 + 136.356i −0.00254244 + 0.0155082i
\(427\) 3861.67 7283.87i 0.437656 0.825507i
\(428\) −27681.9 + 6093.24i −3.12629 + 0.688149i
\(429\) 1267.71 + 586.506i 0.142671 + 0.0660065i
\(430\) 17255.4 + 43307.8i 1.93518 + 4.85695i
\(431\) 388.183 + 7159.61i 0.0433831 + 0.800154i 0.936573 + 0.350474i \(0.113979\pi\)
−0.893189 + 0.449681i \(0.851538\pi\)
\(432\) −1752.90 2585.34i −0.195223 0.287933i
\(433\) 2891.94 + 3404.65i 0.320964 + 0.377869i 0.898855 0.438246i \(-0.144400\pi\)
−0.577891 + 0.816114i \(0.696124\pi\)
\(434\) 12648.7 + 23858.0i 1.39898 + 2.63875i
\(435\) −1552.25 + 523.013i −0.171091 + 0.0576473i
\(436\) −1791.48 + 33041.9i −0.196781 + 3.62941i
\(437\) 14193.6 8540.02i 1.55371 0.934839i
\(438\) 1324.43 + 4770.18i 0.144484 + 0.520384i
\(439\) 3882.38 13983.1i 0.422086 1.52022i −0.381126 0.924523i \(-0.624464\pi\)
0.803212 0.595693i \(-0.203123\pi\)
\(440\) −12687.4 7633.78i −1.37466 0.827105i
\(441\) −1033.82 + 1524.77i −0.111632 + 0.164645i
\(442\) −18063.2 + 1964.49i −1.94384 + 0.211406i
\(443\) 849.135 92.3490i 0.0910691 0.00990436i −0.0624710 0.998047i \(-0.519898\pi\)
0.153540 + 0.988142i \(0.450933\pi\)
\(444\) 4125.57 6084.77i 0.440971 0.650383i
\(445\) 388.505 + 233.756i 0.0413863 + 0.0249013i
\(446\) 4377.89 15767.7i 0.464796 1.67404i
\(447\) −1076.67 3877.80i −0.113925 0.410322i
\(448\) 86.1750 51.8498i 0.00908792 0.00546802i
\(449\) 510.761 9420.43i 0.0536844 0.990150i −0.840320 0.542091i \(-0.817633\pi\)
0.894004 0.448059i \(-0.147885\pi\)
\(450\) 11971.8 4033.77i 1.25412 0.422564i
\(451\) −1261.56 2379.55i −0.131717 0.248445i
\(452\) 13882.3 + 16343.5i 1.44462 + 1.70073i
\(453\) −2338.51 3449.04i −0.242544 0.357726i
\(454\) −1243.13 22928.1i −0.128508 2.37020i
\(455\) −5552.93 13936.8i −0.572144 1.43597i
\(456\) 17599.0 + 8142.16i 1.80734 + 0.836165i
\(457\) 4651.67 1023.91i 0.476140 0.104806i 0.0295844 0.999562i \(-0.490582\pi\)
0.446555 + 0.894756i \(0.352651\pi\)
\(458\) −8925.26 + 16834.8i −0.910590 + 1.71755i
\(459\) 485.930 2964.04i 0.0494145 0.301415i
\(460\) −37393.2 + 28425.5i −3.79014 + 2.88119i
\(461\) 4594.73 2125.75i 0.464203 0.214763i −0.173825 0.984777i \(-0.555613\pi\)
0.638028 + 0.770013i \(0.279750\pi\)
\(462\) −3776.22 3577.03i −0.380272 0.360213i
\(463\) −833.754 5085.68i −0.0836887 0.510478i −0.995091 0.0989622i \(-0.968448\pi\)
0.911403 0.411516i \(-0.135001\pi\)
\(464\) 2991.64 + 1008.00i 0.299318 + 0.100852i
\(465\) 5028.77 12621.3i 0.501513 1.25870i
\(466\) 6665.17 6313.58i 0.662571 0.627620i
\(467\) −6831.88 5193.46i −0.676963 0.514614i 0.209268 0.977858i \(-0.432892\pi\)
−0.886230 + 0.463245i \(0.846685\pi\)
\(468\) 5065.78 + 1115.06i 0.500354 + 0.110136i
\(469\) 10281.6 12104.4i 1.01228 1.19175i
\(470\) −42595.4 4632.53i −4.18039 0.454644i
\(471\) 6580.21 0.643737
\(472\) −22650.0 4420.51i −2.20880 0.431081i
\(473\) −6641.91 −0.645656
\(474\) 2916.90 + 317.232i 0.282654 + 0.0307404i
\(475\) −22626.3 + 26637.7i −2.18561 + 2.57310i
\(476\) 45737.9 + 10067.7i 4.40418 + 0.969434i
\(477\) −452.857 344.253i −0.0434694 0.0330446i
\(478\) 19884.7 18835.8i 1.90273 1.80236i
\(479\) 699.826 1756.43i 0.0667554 0.167543i −0.891814 0.452402i \(-0.850567\pi\)
0.958570 + 0.284858i \(0.0919466\pi\)
\(480\) −10374.8 3495.69i −0.986551 0.332408i
\(481\) 706.086 + 4306.93i 0.0669330 + 0.408273i
\(482\) 12759.6 + 12086.5i 1.20577 + 1.14217i
\(483\) −8315.35 + 3847.09i −0.783357 + 0.362420i
\(484\) −16036.5 + 12190.6i −1.50606 + 1.14487i
\(485\) 520.401 3174.31i 0.0487220 0.297191i
\(486\) −580.262 + 1094.49i −0.0541589 + 0.102155i
\(487\) 987.104 217.278i 0.0918479 0.0202173i −0.168809 0.985649i \(-0.553992\pi\)
0.260657 + 0.965432i \(0.416061\pi\)
\(488\) 16280.7 + 7532.26i 1.51023 + 0.698708i
\(489\) −3284.41 8243.26i −0.303735 0.762317i
\(490\) 1130.35 + 20848.2i 0.104213 + 1.92209i
\(491\) 10782.1 + 15902.4i 0.991015 + 1.46164i 0.884060 + 0.467374i \(0.154800\pi\)
0.106955 + 0.994264i \(0.465890\pi\)
\(492\) −6474.83 7622.76i −0.593308 0.698497i
\(493\) 1421.93 + 2682.05i 0.129900 + 0.245017i
\(494\) −19646.9 + 6619.80i −1.78938 + 0.602913i
\(495\) −141.680 + 2613.14i −0.0128648 + 0.237277i
\(496\) −22436.5 + 13499.6i −2.03111 + 1.22208i
\(497\) 56.5662 + 203.733i 0.00510531 + 0.0183877i
\(498\) −4140.36 + 14912.2i −0.372558 + 1.34183i
\(499\) 10406.0 + 6261.08i 0.933540 + 0.561692i 0.899114 0.437715i \(-0.144212\pi\)
0.0344260 + 0.999407i \(0.489040\pi\)
\(500\) 30367.5 44788.8i 2.71616 4.00603i
\(501\) 2086.28 226.897i 0.186044 0.0202335i
\(502\) 5469.32 594.825i 0.486271 0.0528851i
\(503\) −2609.19 + 3848.27i −0.231288 + 0.341125i −0.925569 0.378580i \(-0.876413\pi\)
0.694280 + 0.719705i \(0.255723\pi\)
\(504\) −9190.23 5529.58i −0.812233 0.488704i
\(505\) −2373.90 + 8550.02i −0.209183 + 0.753407i
\(506\) −2586.51 9315.77i −0.227242 0.818451i
\(507\) 3008.91 1810.40i 0.263571 0.158585i
\(508\) 719.496 13270.3i 0.0628395 1.15901i
\(509\) −4893.06 + 1648.66i −0.426092 + 0.143567i −0.524174 0.851611i \(-0.675626\pi\)
0.0980818 + 0.995178i \(0.468729\pi\)
\(510\) −15945.4 30076.2i −1.38446 2.61137i
\(511\) 4904.30 + 5773.78i 0.424566 + 0.499838i
\(512\) −14606.9 21543.6i −1.26082 1.85958i
\(513\) −185.545 3422.17i −0.0159688 0.294527i
\(514\) −12078.9 30315.9i −1.03654 2.60151i
\(515\) 29109.9 + 13467.7i 2.49075 + 1.15234i
\(516\) −24088.1 + 5302.18i −2.05507 + 0.452356i
\(517\) 2859.39 5393.38i 0.243241 0.458802i
\(518\) 2629.32 16038.1i 0.223022 1.36038i
\(519\) −2560.49 + 1946.44i −0.216557 + 0.164623i
\(520\) 29626.6 13706.7i 2.49849 1.15592i
\(521\) 1587.74 + 1503.98i 0.133512 + 0.126470i 0.751542 0.659685i \(-0.229310\pi\)
−0.618030 + 0.786155i \(0.712069\pi\)
\(522\) −202.554 1235.52i −0.0169838 0.103597i
\(523\) 21277.0 + 7169.07i 1.77893 + 0.599391i 0.999628 0.0272595i \(-0.00867803\pi\)
0.779301 + 0.626650i \(0.215575\pi\)
\(524\) −5740.46 + 14407.5i −0.478575 + 1.20113i
\(525\) 14034.5 13294.2i 1.16670 1.10515i
\(526\) 18020.9 + 13699.1i 1.49382 + 1.13557i
\(527\) −24590.4 5412.76i −2.03259 0.447407i
\(528\) 3265.22 3844.12i 0.269130 0.316844i
\(529\) −4834.65 525.800i −0.397358 0.0432152i
\(530\) −6447.10 −0.528385
\(531\) 1184.84 + 3902.80i 0.0968322 + 0.318959i
\(532\) 53437.4 4.35490
\(533\) 5902.86 + 641.974i 0.479702 + 0.0521707i
\(534\) −224.363 + 264.140i −0.0181819 + 0.0214054i
\(535\) 30789.9 + 6777.37i 2.48816 + 0.547685i
\(536\) 27510.7 + 20913.1i 2.21694 + 1.68528i
\(537\) −1996.78 + 1891.45i −0.160461 + 0.151997i
\(538\) −5576.10 + 13995.0i −0.446845 + 1.12150i
\(539\) −2818.94 949.813i −0.225270 0.0759023i
\(540\) 1572.22 + 9590.11i 0.125292 + 0.764246i
\(541\) −17269.4 16358.4i −1.37240 1.30001i −0.910757 0.412942i \(-0.864501\pi\)
−0.461644 0.887065i \(-0.652740\pi\)
\(542\) −23257.8 + 10760.2i −1.84318 + 0.852748i
\(543\) −5085.49 + 3865.89i −0.401914 + 0.305527i
\(544\) −3282.50 + 20022.4i −0.258706 + 1.57804i
\(545\) 17240.1 32518.3i 1.35502 2.55584i
\(546\) 11199.1 2465.11i 0.877796 0.193218i
\(547\) −14730.3 6814.98i −1.15141 0.532701i −0.251109 0.967959i \(-0.580795\pi\)
−0.900306 + 0.435258i \(0.856657\pi\)
\(548\) −15550.5 39028.9i −1.21220 3.04239i
\(549\) −171.646 3165.83i −0.0133437 0.246110i
\(550\) 11447.7 + 16884.0i 0.887509 + 1.30898i
\(551\) 2242.40 + 2639.96i 0.173375 + 0.204112i
\(552\) −9338.21 17613.7i −0.720037 1.35813i
\(553\) 4254.78 1433.60i 0.327182 0.110241i
\(554\) −771.537 + 14230.2i −0.0591687 + 1.09130i
\(555\) −7006.45 + 4215.64i −0.535869 + 0.322422i
\(556\) −4595.83 16552.7i −0.350552 1.26257i
\(557\) −5914.98 + 21303.8i −0.449957 + 1.62060i 0.296408 + 0.955061i \(0.404211\pi\)
−0.746365 + 0.665537i \(0.768203\pi\)
\(558\) 8898.25 + 5353.90i 0.675077 + 0.406181i
\(559\) 8217.40 12119.8i 0.621751 0.917014i
\(560\) −53853.8 + 5856.95i −4.06382 + 0.441967i
\(561\) 4821.58 524.378i 0.362865 0.0394640i
\(562\) −21349.1 + 31487.6i −1.60242 + 2.36339i
\(563\) 14791.0 + 8899.45i 1.10722 + 0.666193i 0.947111 0.320906i \(-0.103987\pi\)
0.160111 + 0.987099i \(0.448815\pi\)
\(564\) 6064.58 21842.7i 0.452775 1.63075i
\(565\) −6380.87 22981.8i −0.475124 1.71124i
\(566\) 17889.8 10763.9i 1.32856 0.799368i
\(567\) −102.627 + 1892.84i −0.00760129 + 0.140197i
\(568\) −435.991 + 146.902i −0.0322073 + 0.0108519i
\(569\) 8349.04 + 15748.0i 0.615132 + 1.16026i 0.973930 + 0.226847i \(0.0728417\pi\)
−0.358798 + 0.933415i \(0.616813\pi\)
\(570\) −25146.0 29604.2i −1.84781 2.17541i
\(571\) 4787.18 + 7060.57i 0.350854 + 0.517470i 0.961636 0.274328i \(-0.0884554\pi\)
−0.610783 + 0.791798i \(0.709145\pi\)
\(572\) 453.450 + 8363.39i 0.0331463 + 0.611348i
\(573\) −2556.97 6417.51i −0.186421 0.467880i
\(574\) −20067.1 9284.01i −1.45920 0.675099i
\(575\) 35092.1 7724.35i 2.54511 0.560222i
\(576\) 18.1165 34.1713i 0.00131051 0.00247188i
\(577\) 2105.78 12844.7i 0.151932 0.926745i −0.795305 0.606210i \(-0.792689\pi\)
0.947237 0.320535i \(-0.103863\pi\)
\(578\) −30285.6 + 23022.5i −2.17944 + 1.65677i
\(579\) 4311.74 1994.82i 0.309482 0.143181i
\(580\) −7130.62 6754.48i −0.510488 0.483560i
\(581\) 3831.34 + 23370.2i 0.273582 + 1.66877i
\(582\) 2330.00 + 785.068i 0.165948 + 0.0559143i
\(583\) 339.985 853.299i 0.0241522 0.0606175i
\(584\) −11967.1 + 11335.8i −0.847947 + 0.803218i
\(585\) −4593.01 3491.52i −0.324611 0.246763i
\(586\) −14298.7 3147.38i −1.00798 0.221872i
\(587\) −4782.32 + 5630.18i −0.336265 + 0.395882i −0.904142 0.427231i \(-0.859489\pi\)
0.567877 + 0.823113i \(0.307765\pi\)
\(588\) −10981.6 1194.32i −0.770195 0.0837637i
\(589\) −28730.0 −2.00985
\(590\) 37458.8 + 27086.7i 2.61382 + 1.89007i
\(591\) −5450.67 −0.379375
\(592\) 15667.0 + 1703.89i 1.08768 + 0.118293i
\(593\) 11042.1 12999.8i 0.764664 0.900232i −0.232718 0.972544i \(-0.574762\pi\)
0.997382 + 0.0723120i \(0.0230377\pi\)
\(594\) −1953.55 430.009i −0.134941 0.0297028i
\(595\) −41469.3 31524.2i −2.85727 2.17204i
\(596\) 17519.7 16595.6i 1.20409 1.14057i
\(597\) −2088.08 + 5240.68i −0.143148 + 0.359274i
\(598\) 20198.9 + 6805.79i 1.38126 + 0.465401i
\(599\) 2245.15 + 13694.8i 0.153146 + 0.934147i 0.945865 + 0.324560i \(0.105216\pi\)
−0.792719 + 0.609587i \(0.791335\pi\)
\(600\) 30537.8 + 28926.9i 2.07783 + 1.96823i
\(601\) 10198.0 4718.11i 0.692157 0.320226i −0.0420848 0.999114i \(-0.513400\pi\)
0.734242 + 0.678888i \(0.237538\pi\)
\(602\) −43408.6 + 32998.4i −2.93888 + 2.23408i
\(603\) 988.103 6027.16i 0.0667308 0.407040i
\(604\) 11704.1 22076.2i 0.788464 1.48720i
\(605\) 21881.9 4816.56i 1.47045 0.323671i
\(606\) −6155.65 2847.91i −0.412634 0.190905i
\(607\) −1679.45 4215.10i −0.112301 0.281854i 0.862075 0.506782i \(-0.169165\pi\)
−0.974376 + 0.224927i \(0.927786\pi\)
\(608\) 1253.37 + 23117.1i 0.0836035 + 1.54198i
\(609\) −1075.15 1585.73i −0.0715393 0.105513i
\(610\) −23262.5 27386.7i −1.54405 1.81779i
\(611\) 6303.86 + 11890.3i 0.417393 + 0.787286i
\(612\) 17067.7 5750.78i 1.12732 0.379839i
\(613\) −408.023 + 7525.55i −0.0268840 + 0.495847i 0.953824 + 0.300367i \(0.0971092\pi\)
−0.980708 + 0.195480i \(0.937374\pi\)
\(614\) −44972.6 + 27059.1i −2.95594 + 1.77853i
\(615\) 2976.10 + 10718.9i 0.195135 + 0.702812i
\(616\) 4633.26 16687.5i 0.303051 1.09149i
\(617\) −4217.55 2537.61i −0.275190 0.165576i 0.371269 0.928526i \(-0.378923\pi\)
−0.646458 + 0.762949i \(0.723751\pi\)
\(618\) −13758.3 + 20291.9i −0.895532 + 1.32081i
\(619\) 3603.42 391.896i 0.233980 0.0254469i 0.00962239 0.999954i \(-0.496937\pi\)
0.224358 + 0.974507i \(0.427972\pi\)
\(620\) 80989.0 8808.09i 5.24613 0.570550i
\(621\) −1977.34 + 2916.35i −0.127774 + 0.188453i
\(622\) 8511.64 + 5121.29i 0.548691 + 0.330136i
\(623\) −141.876 + 510.992i −0.00912383 + 0.0328611i
\(624\) 2974.76 + 10714.1i 0.190843 + 0.687353i
\(625\) −22081.9 + 13286.3i −1.41324 + 0.850321i
\(626\) 1389.84 25634.0i 0.0887365 1.63665i
\(627\) 5244.30 1767.01i 0.334031 0.112548i
\(628\) 18481.9 + 34860.6i 1.17438 + 2.21511i
\(629\) 9810.61 + 11549.9i 0.621899 + 0.732156i
\(630\) 12056.7 + 17782.2i 0.762458 + 1.12454i
\(631\) −658.391 12143.3i −0.0415375 0.766114i −0.942906 0.333060i \(-0.891919\pi\)
0.901368 0.433054i \(-0.142564\pi\)
\(632\) 3616.04 + 9075.57i 0.227592 + 0.571213i
\(633\) −7142.14 3304.31i −0.448459 0.207479i
\(634\) −9986.97 + 2198.30i −0.625604 + 0.137706i
\(635\) −6924.00 + 13060.0i −0.432709 + 0.816176i
\(636\) 551.835 3366.04i 0.0344051 0.209862i
\(637\) 5220.77 3968.73i 0.324732 0.246855i
\(638\) 1834.81 848.875i 0.113857 0.0526760i
\(639\) 59.0332 + 55.9192i 0.00365464 + 0.00346186i
\(640\) 4652.23 + 28377.3i 0.287337 + 1.75268i
\(641\) −26686.2 8991.62i −1.64437 0.554053i −0.663408 0.748257i \(-0.730891\pi\)
−0.980961 + 0.194205i \(0.937787\pi\)
\(642\) −8919.59 + 22386.5i −0.548331 + 1.37621i
\(643\) 6425.53 6086.59i 0.394087 0.373299i −0.464842 0.885394i \(-0.653889\pi\)
0.858929 + 0.512094i \(0.171130\pi\)
\(644\) −43736.4 33247.6i −2.67618 2.03438i
\(645\) 26792.6 + 5897.50i 1.63559 + 0.360021i
\(646\) −46602.8 + 54865.1i −2.83833 + 3.34154i
\(647\) 6649.38 + 723.163i 0.404040 + 0.0439420i 0.307883 0.951424i \(-0.400379\pi\)
0.0961570 + 0.995366i \(0.469345\pi\)
\(648\) −4124.71 −0.250052
\(649\) −5560.41 + 3529.42i −0.336310 + 0.213469i
\(650\) −44972.0 −2.71377
\(651\) 15797.8 + 1718.11i 0.951095 + 0.103438i
\(652\) 34446.0 40553.0i 2.06904 2.43586i
\(653\) 22224.5 + 4891.99i 1.33187 + 0.293167i 0.823180 0.567781i \(-0.192198\pi\)
0.508693 + 0.860948i \(0.330129\pi\)
\(654\) 22396.4 + 17025.3i 1.33910 + 1.01795i
\(655\) 12523.6 11863.0i 0.747081 0.707673i
\(656\) 7935.80 19917.3i 0.472318 1.18543i
\(657\) 2760.82 + 930.228i 0.163942 + 0.0552385i
\(658\) −8107.70 49454.8i −0.480351 2.93001i
\(659\) −21640.2 20498.7i −1.27918 1.21171i −0.964971 0.262355i \(-0.915501\pi\)
−0.314213 0.949353i \(-0.601741\pi\)
\(660\) −14241.8 + 6588.96i −0.839941 + 0.388598i
\(661\) 7044.60 5355.17i 0.414529 0.315116i −0.377040 0.926197i \(-0.623058\pi\)
0.791568 + 0.611081i \(0.209265\pi\)
\(662\) 1206.01 7356.36i 0.0708052 0.431893i
\(663\) −5008.42 + 9446.89i −0.293380 + 0.553374i
\(664\) −50325.5 + 11077.5i −2.94128 + 0.647424i
\(665\) −53943.8 24957.1i −3.14564 1.45533i
\(666\) −2313.41 5806.22i −0.134599 0.337817i
\(667\) −192.794 3555.87i −0.0111919 0.206423i
\(668\) 7061.80 + 10415.4i 0.409026 + 0.603268i
\(669\) −6234.28 7339.56i −0.360286 0.424161i
\(670\) −32423.8 61157.7i −1.86961 3.52646i
\(671\) 4851.47 1634.65i 0.279119 0.0940463i
\(672\) 693.255 12786.3i 0.0397959 0.733993i
\(673\) 4987.93 3001.14i 0.285692 0.171895i −0.365493 0.930814i \(-0.619100\pi\)
0.651185 + 0.758919i \(0.274272\pi\)
\(674\) −2305.67 8304.26i −0.131767 0.474582i
\(675\) 1988.87 7163.28i 0.113410 0.408466i
\(676\) 18042.2 + 10855.7i 1.02653 + 0.617641i
\(677\) −11454.3 + 16893.9i −0.650259 + 0.959060i 0.349496 + 0.936938i \(0.386353\pi\)
−0.999755 + 0.0221223i \(0.992958\pi\)
\(678\) 18124.0 1971.11i 1.02662 0.111652i
\(679\) 3740.29 406.781i 0.211398 0.0229909i
\(680\) 63608.0 93814.8i 3.58714 5.29064i
\(681\) −11578.2 6966.39i −0.651511 0.392001i
\(682\) −4486.06 + 16157.3i −0.251877 + 0.907179i
\(683\) −3566.59 12845.7i −0.199812 0.719658i −0.993747 0.111655i \(-0.964385\pi\)
0.793935 0.608003i \(-0.208029\pi\)
\(684\) 17608.8 10594.9i 0.984340 0.592258i
\(685\) −2529.90 + 46661.3i −0.141113 + 2.60268i
\(686\) 15637.4 5268.86i 0.870320 0.293245i
\(687\) 5252.29 + 9906.87i 0.291685 + 0.550176i
\(688\) −34229.6 40298.2i −1.89679 2.23307i
\(689\) 1136.42 + 1676.09i 0.0628360 + 0.0926762i
\(690\) 2161.97 + 39875.2i 0.119282 + 2.20003i
\(691\) −11661.5 29268.1i −0.642001 1.61130i −0.783520 0.621366i \(-0.786578\pi\)
0.141519 0.989936i \(-0.454801\pi\)
\(692\) −17503.5 8097.97i −0.961536 0.444854i
\(693\) −2989.35 + 658.006i −0.163862 + 0.0360687i
\(694\) −9733.67 + 18359.6i −0.532399 + 1.00421i
\(695\) −3091.27 + 18855.9i −0.168718 + 1.02913i
\(696\) 3318.70 2522.81i 0.180740 0.137395i
\(697\) 18711.3 8656.75i 1.01684 0.470442i
\(698\) 46737.1 + 44271.8i 2.53442 + 2.40073i
\(699\) −874.048 5331.46i −0.0472955 0.288490i
\(700\) 109848. + 37012.2i 5.93125 + 1.99847i
\(701\) 12587.2 31591.6i 0.678193 1.70214i −0.0333009 0.999445i \(-0.510602\pi\)
0.711494 0.702692i \(-0.248019\pi\)
\(702\) 3201.59 3032.71i 0.172132 0.163052i
\(703\) 13765.5 + 10464.3i 0.738514 + 0.561404i
\(704\) 60.9921 + 13.4254i 0.00326523 + 0.000718732i
\(705\) −16323.3 + 19217.3i −0.872015 + 1.02662i
\(706\) 40866.5 + 4444.50i 2.17851 + 0.236928i
\(707\) −10378.7 −0.552096
\(708\) −17348.3 + 17238.9i −0.920889 + 0.915080i
\(709\) −11968.8 −0.633989 −0.316995 0.948427i \(-0.602674\pi\)
−0.316995 + 0.948427i \(0.602674\pi\)
\(710\) 916.169 + 99.6394i 0.0484271 + 0.00526676i
\(711\) 1117.81 1315.98i 0.0589607 0.0694139i
\(712\) −1126.95 248.062i −0.0593180 0.0130569i
\(713\) 23514.4 + 17875.2i 1.23509 + 0.938893i
\(714\) 28906.5 27381.7i 1.51512 1.43520i
\(715\) 3448.23 8654.41i 0.180359 0.452667i
\(716\) −15628.9 5265.99i −0.815753 0.274859i
\(717\) −2607.61 15905.7i −0.135820 0.828465i
\(718\) 9133.63 + 8651.83i 0.474741 + 0.449698i
\(719\) 5358.34 2479.03i 0.277931 0.128584i −0.275972 0.961166i \(-0.589000\pi\)
0.553903 + 0.832581i \(0.313138\pi\)
\(720\) −16584.7 + 12607.4i −0.858440 + 0.652569i
\(721\) −6069.31 + 37021.1i −0.313499 + 1.91226i
\(722\) −22095.5 + 41676.5i −1.13893 + 2.14825i
\(723\) 10100.8 2223.36i 0.519575 0.114367i
\(724\) −34764.3 16083.7i −1.78454 0.825614i
\(725\) 2781.07 + 6979.96i 0.142464 + 0.357558i
\(726\) 927.185 + 17100.9i 0.0473982 + 0.874208i
\(727\) −14215.6 20966.4i −0.725210 1.06960i −0.994313 0.106493i \(-0.966038\pi\)
0.269104 0.963111i \(-0.413273\pi\)
\(728\) 24718.0 + 29100.3i 1.25839 + 1.48150i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 31290.0 10542.8i 1.58643 0.534530i
\(731\) 2752.59 50768.5i 0.139272 2.56873i
\(732\) 16289.8 9801.24i 0.822524 0.494897i
\(733\) 2983.72 + 10746.4i 0.150349 + 0.541510i 0.999902 + 0.0140057i \(0.00445828\pi\)
−0.849552 + 0.527504i \(0.823128\pi\)
\(734\) 9303.27 33507.4i 0.467834 1.68499i
\(735\) 10527.9 + 6334.42i 0.528336 + 0.317889i
\(736\) 13357.1 19700.2i 0.668952 0.986631i
\(737\) 9804.32 1066.28i 0.490023 0.0532932i
\(738\) −8453.24 + 919.345i −0.421637 + 0.0458558i
\(739\) −13033.0 + 19222.2i −0.648748 + 0.956832i 0.351042 + 0.936360i \(0.385827\pi\)
−0.999790 + 0.0204725i \(0.993483\pi\)
\(740\) −42012.6 25278.2i −2.08705 1.25573i
\(741\) −3263.93 + 11755.6i −0.161813 + 0.582799i
\(742\) −2017.37 7265.90i −0.0998112 0.359487i
\(743\) −11936.2 + 7181.80i −0.589365 + 0.354609i −0.778789 0.627286i \(-0.784166\pi\)
0.189424 + 0.981895i \(0.439338\pi\)
\(744\) −1871.97 + 34526.5i −0.0922444 + 1.70135i
\(745\) −25436.4 + 8570.52i −1.25090 + 0.421476i
\(746\) −15848.4 29893.2i −0.777815 1.46711i
\(747\) 5896.03 + 6941.35i 0.288788 + 0.339987i
\(748\) 16320.5 + 24070.9i 0.797774 + 1.17663i
\(749\) 1996.38 + 36821.1i 0.0973914 + 1.79628i
\(750\) −17028.5 42738.4i −0.829059 2.08078i
\(751\) −24016.1 11111.0i −1.16692 0.539876i −0.261840 0.965111i \(-0.584329\pi\)
−0.905083 + 0.425235i \(0.860191\pi\)
\(752\) 47459.1 10446.5i 2.30140 0.506577i
\(753\) 1516.49 2860.40i 0.0733917 0.138431i
\(754\) −721.063 + 4398.29i −0.0348270 + 0.212435i
\(755\) −22125.3 + 16819.2i −1.06652 + 0.810748i
\(756\) −10316.1 + 4772.75i −0.496288 + 0.229607i
\(757\) 20608.1 + 19521.0i 0.989451 + 0.937258i 0.998032 0.0627050i \(-0.0199727\pi\)
−0.00858065 + 0.999963i \(0.502731\pi\)
\(758\) 8058.80 + 49156.5i 0.386159 + 2.35547i
\(759\) −5391.65 1816.66i −0.257845 0.0868781i
\(760\) 47870.0 120145.i 2.28477 5.73435i
\(761\) −25769.1 + 24409.7i −1.22750 + 1.16275i −0.246417 + 0.969164i \(0.579253\pi\)
−0.981083 + 0.193586i \(0.937988\pi\)
\(762\) −8994.86 6837.72i −0.427624 0.325071i
\(763\) 42042.9 + 9254.34i 1.99483 + 0.439095i
\(764\) 26816.8 31571.2i 1.26989 1.49503i
\(765\) −19915.2 2165.91i −0.941224 0.102364i
\(766\) −9693.88 −0.457251
\(767\) 439.102 14512.9i 0.0206715 0.683221i
\(768\) −22083.2 −1.03758
\(769\) 9067.32 + 986.131i 0.425196 + 0.0462429i 0.318216 0.948018i \(-0.396916\pi\)
0.106980 + 0.994261i \(0.465882\pi\)
\(770\) −22458.6 + 26440.3i −1.05110 + 1.23746i
\(771\) −18755.1 4128.30i −0.876067 0.192837i
\(772\)