Properties

Label 177.4.e.b.7.3
Level $177$
Weight $4$
Character 177.7
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 7.3
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.b.76.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.23273 - 3.29303i) q^{2} +(0.162417 - 2.99560i) q^{3} +(-2.89786 + 7.27309i) q^{4} +(3.07784 - 1.42396i) q^{5} +(-10.2272 + 6.15353i) q^{6} +(3.58463 - 12.9107i) q^{7} +(-0.663884 + 0.146132i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-2.23273 - 3.29303i) q^{2} +(0.162417 - 2.99560i) q^{3} +(-2.89786 + 7.27309i) q^{4} +(3.07784 - 1.42396i) q^{5} +(-10.2272 + 6.15353i) q^{6} +(3.58463 - 12.9107i) q^{7} +(-0.663884 + 0.146132i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(-11.5611 - 6.95609i) q^{10} +(-4.93694 + 4.67652i) q^{11} +(21.3166 + 9.86211i) q^{12} +(-50.9188 + 5.53775i) q^{13} +(-50.5188 + 17.0218i) q^{14} +(-3.76572 - 9.45124i) q^{15} +(47.4349 + 44.9327i) q^{16} +(-24.1827 - 87.0982i) q^{17} +(16.7724 + 31.6362i) q^{18} +(-122.442 + 93.0779i) q^{19} +(1.43743 + 26.5118i) q^{20} +(-38.0930 - 12.8350i) q^{21} +(26.4228 + 5.81609i) q^{22} +(15.5543 - 29.3385i) q^{23} +(0.329927 + 2.01247i) q^{24} +(-73.4779 + 86.5048i) q^{25} +(131.924 + 155.313i) q^{26} +(-4.36811 + 26.6443i) q^{27} +(83.5128 + 63.4848i) q^{28} +(104.116 - 153.560i) q^{29} +(-22.7154 + 33.5027i) q^{30} +(220.087 + 167.306i) q^{31} +(41.1757 - 251.160i) q^{32} +(13.2071 + 15.5486i) q^{33} +(-232.824 + 274.101i) q^{34} +(-7.35136 - 44.8413i) q^{35} +(33.0051 - 62.2543i) q^{36} +(52.9260 + 11.6499i) q^{37} +(579.888 + 195.387i) q^{38} +(8.31883 + 153.432i) q^{39} +(-1.83524 + 1.39511i) q^{40} +(149.989 + 282.909i) q^{41} +(42.7853 + 154.099i) q^{42} +(-198.932 - 188.438i) q^{43} +(-19.7062 - 49.4587i) q^{44} +(-28.9238 + 9.74555i) q^{45} +(-131.341 + 14.2842i) q^{46} +(-384.405 - 177.845i) q^{47} +(142.305 - 134.798i) q^{48} +(140.066 + 84.2749i) q^{49} +(448.919 + 48.8229i) q^{50} +(-264.839 + 58.2955i) q^{51} +(107.279 - 386.385i) q^{52} +(-398.892 + 240.005i) q^{53} +(97.4934 - 45.1052i) q^{54} +(-8.53592 + 21.4235i) q^{55} +(-0.493118 + 9.09503i) q^{56} +(258.938 + 381.905i) q^{57} -738.140 q^{58} +(423.250 - 161.983i) q^{59} +79.6523 q^{60} +(-227.448 - 335.460i) q^{61} +(59.5482 - 1098.30i) q^{62} +(-44.6356 + 112.027i) q^{63} +(-444.623 + 205.704i) q^{64} +(-148.834 + 89.5505i) q^{65} +(21.7142 - 78.2074i) q^{66} +(-834.378 + 183.661i) q^{67} +(703.551 + 76.5158i) q^{68} +(-85.3601 - 51.3595i) q^{69} +(-131.250 + 124.327i) q^{70} +(-569.238 - 263.357i) q^{71} +(6.08213 - 0.661471i) q^{72} +(-212.801 + 71.7009i) q^{73} +(-79.8060 - 200.298i) q^{74} +(247.200 + 234.160i) q^{75} +(-322.144 - 1160.26i) q^{76} +(42.6799 + 80.5028i) q^{77} +(486.682 - 369.966i) q^{78} +(-45.8392 - 845.455i) q^{79} +(209.979 + 70.7502i) q^{80} +(79.1063 + 17.4126i) q^{81} +(596.744 - 1125.58i) q^{82} +(-112.562 - 686.595i) q^{83} +(203.739 - 239.860i) q^{84} +(-198.455 - 233.639i) q^{85} +(-176.372 + 1075.82i) q^{86} +(-443.093 - 336.831i) q^{87} +(2.59417 - 3.82611i) q^{88} +(-267.085 + 393.922i) q^{89} +(96.6713 + 73.4876i) q^{90} +(-111.029 + 677.247i) q^{91} +(168.307 + 198.147i) q^{92} +(536.927 - 632.120i) q^{93} +(272.625 + 1662.94i) q^{94} +(-244.317 + 460.831i) q^{95} +(-745.689 - 164.139i) q^{96} +(-466.601 - 157.216i) q^{97} +(-35.2097 - 649.404i) q^{98} +(48.7226 - 37.0379i) 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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.23273 3.29303i −0.789389 1.16426i −0.983076 0.183199i \(-0.941355\pi\)
0.193686 0.981063i \(-0.437956\pi\)
\(3\) 0.162417 2.99560i 0.0312571 0.576504i
\(4\) −2.89786 + 7.27309i −0.362233 + 0.909136i
\(5\) 3.07784 1.42396i 0.275290 0.127363i −0.277387 0.960758i \(-0.589468\pi\)
0.552677 + 0.833396i \(0.313606\pi\)
\(6\) −10.2272 + 6.15353i −0.695875 + 0.418694i
\(7\) 3.58463 12.9107i 0.193552 0.697111i −0.801521 0.597967i \(-0.795976\pi\)
0.995073 0.0991447i \(-0.0316107\pi\)
\(8\) −0.663884 + 0.146132i −0.0293398 + 0.00645818i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) −11.5611 6.95609i −0.365595 0.219971i
\(11\) −4.93694 + 4.67652i −0.135322 + 0.128184i −0.752367 0.658744i \(-0.771088\pi\)
0.617045 + 0.786928i \(0.288330\pi\)
\(12\) 21.3166 + 9.86211i 0.512798 + 0.237246i
\(13\) −50.9188 + 5.53775i −1.08633 + 0.118146i −0.633721 0.773562i \(-0.718473\pi\)
−0.452612 + 0.891707i \(0.649508\pi\)
\(14\) −50.5188 + 17.0218i −0.964408 + 0.324947i
\(15\) −3.76572 9.45124i −0.0648203 0.162687i
\(16\) 47.4349 + 44.9327i 0.741170 + 0.702073i
\(17\) −24.1827 87.0982i −0.345010 1.24261i −0.908988 0.416823i \(-0.863144\pi\)
0.563978 0.825790i \(-0.309270\pi\)
\(18\) 16.7724 + 31.6362i 0.219628 + 0.414262i
\(19\) −122.442 + 93.0779i −1.47843 + 1.12387i −0.514570 + 0.857448i \(0.672049\pi\)
−0.963856 + 0.266423i \(0.914158\pi\)
\(20\) 1.43743 + 26.5118i 0.0160709 + 0.296411i
\(21\) −38.0930 12.8350i −0.395837 0.133373i
\(22\) 26.4228 + 5.81609i 0.256062 + 0.0563634i
\(23\) 15.5543 29.3385i 0.141013 0.265978i −0.802939 0.596061i \(-0.796732\pi\)
0.943952 + 0.330082i \(0.107077\pi\)
\(24\) 0.329927 + 2.01247i 0.00280609 + 0.0171164i
\(25\) −73.4779 + 86.5048i −0.587823 + 0.692039i
\(26\) 131.924 + 155.313i 0.995093 + 1.17151i
\(27\) −4.36811 + 26.6443i −0.0311350 + 0.189915i
\(28\) 83.5128 + 63.4848i 0.563658 + 0.428482i
\(29\) 104.116 153.560i 0.666685 0.983287i −0.332507 0.943101i \(-0.607895\pi\)
0.999192 0.0401860i \(-0.0127950\pi\)
\(30\) −22.7154 + 33.5027i −0.138241 + 0.203891i
\(31\) 220.087 + 167.306i 1.27512 + 0.969323i 0.999969 + 0.00792288i \(0.00252196\pi\)
0.275154 + 0.961400i \(0.411271\pi\)
\(32\) 41.1757 251.160i 0.227466 1.38748i
\(33\) 13.2071 + 15.5486i 0.0696687 + 0.0820203i
\(34\) −232.824 + 274.101i −1.17438 + 1.38259i
\(35\) −7.35136 44.8413i −0.0355031 0.216559i
\(36\) 33.0051 62.2543i 0.152801 0.288214i
\(37\) 52.9260 + 11.6499i 0.235162 + 0.0517630i 0.330988 0.943635i \(-0.392618\pi\)
−0.0958260 + 0.995398i \(0.530549\pi\)
\(38\) 579.888 + 195.387i 2.47553 + 0.834105i
\(39\) 8.31883 + 153.432i 0.0341559 + 0.629968i
\(40\) −1.83524 + 1.39511i −0.00725442 + 0.00551467i
\(41\) 149.989 + 282.909i 0.571325 + 1.07763i 0.985855 + 0.167598i \(0.0536010\pi\)
−0.414530 + 0.910035i \(0.636054\pi\)
\(42\) 42.7853 + 154.099i 0.157188 + 0.566142i
\(43\) −198.932 188.438i −0.705507 0.668292i 0.248310 0.968681i \(-0.420125\pi\)
−0.953817 + 0.300389i \(0.902884\pi\)
\(44\) −19.7062 49.4587i −0.0675185 0.169459i
\(45\) −28.9238 + 9.74555i −0.0958155 + 0.0322840i
\(46\) −131.341 + 14.2842i −0.420982 + 0.0457846i
\(47\) −384.405 177.845i −1.19301 0.551943i −0.280043 0.959987i \(-0.590349\pi\)
−0.912962 + 0.408044i \(0.866211\pi\)
\(48\) 142.305 134.798i 0.427915 0.405342i
\(49\) 140.066 + 84.2749i 0.408355 + 0.245699i
\(50\) 448.919 + 48.8229i 1.26974 + 0.138092i
\(51\) −264.839 + 58.2955i −0.727154 + 0.160059i
\(52\) 107.279 386.385i 0.286095 1.03042i
\(53\) −398.892 + 240.005i −1.03381 + 0.622024i −0.928084 0.372372i \(-0.878545\pi\)
−0.105727 + 0.994395i \(0.533717\pi\)
\(54\) 97.4934 45.1052i 0.245688 0.113668i
\(55\) −8.53592 + 21.4235i −0.0209270 + 0.0525227i
\(56\) −0.493118 + 9.09503i −0.00117671 + 0.0217031i
\(57\) 258.938 + 381.905i 0.601704 + 0.887447i
\(58\) −738.140 −1.67108
\(59\) 423.250 161.983i 0.933940 0.357430i
\(60\) 79.6523 0.171384
\(61\) −227.448 335.460i −0.477405 0.704119i 0.510379 0.859950i \(-0.329505\pi\)
−0.987784 + 0.155830i \(0.950195\pi\)
\(62\) 59.5482 1098.30i 0.121978 2.24975i
\(63\) −44.6356 + 112.027i −0.0892628 + 0.224033i
\(64\) −444.623 + 205.704i −0.868403 + 0.401766i
\(65\) −148.834 + 89.5505i −0.284009 + 0.170883i
\(66\) 21.7142 78.2074i 0.0404974 0.145859i
\(67\) −834.378 + 183.661i −1.52143 + 0.334891i −0.895525 0.445011i \(-0.853200\pi\)
−0.625901 + 0.779902i \(0.715269\pi\)
\(68\) 703.551 + 76.5158i 1.25468 + 0.136454i
\(69\) −85.3601 51.3595i −0.148930 0.0896081i
\(70\) −131.250 + 124.327i −0.224106 + 0.212284i
\(71\) −569.238 263.357i −0.951494 0.440208i −0.118171 0.992993i \(-0.537703\pi\)
−0.833324 + 0.552785i \(0.813565\pi\)
\(72\) 6.08213 0.661471i 0.00995536 0.00108271i
\(73\) −212.801 + 71.7009i −0.341184 + 0.114958i −0.484677 0.874693i \(-0.661063\pi\)
0.143493 + 0.989651i \(0.454166\pi\)
\(74\) −79.8060 200.298i −0.125368 0.314651i
\(75\) 247.200 + 234.160i 0.380589 + 0.360513i
\(76\) −322.144 1160.26i −0.486217 1.75119i
\(77\) 42.6799 + 80.5028i 0.0631666 + 0.119145i
\(78\) 486.682 369.966i 0.706486 0.537056i
\(79\) −45.8392 845.455i −0.0652825 1.20406i −0.829275 0.558840i \(-0.811247\pi\)
0.763993 0.645225i \(-0.223236\pi\)
\(80\) 209.979 + 70.7502i 0.293455 + 0.0988763i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) 596.744 1125.58i 0.803650 1.51584i
\(83\) −112.562 686.595i −0.148858 0.907996i −0.950621 0.310353i \(-0.899553\pi\)
0.801763 0.597642i \(-0.203896\pi\)
\(84\) 203.739 239.860i 0.264640 0.311558i
\(85\) −198.455 233.639i −0.253240 0.298137i
\(86\) −176.372 + 1075.82i −0.221147 + 1.34894i
\(87\) −443.093 336.831i −0.546030 0.415081i
\(88\) 2.59417 3.82611i 0.00314249 0.00463483i
\(89\) −267.085 + 393.922i −0.318101 + 0.469164i −0.952801 0.303594i \(-0.901813\pi\)
0.634700 + 0.772758i \(0.281124\pi\)
\(90\) 96.6713 + 73.4876i 0.113223 + 0.0860697i
\(91\) −111.029 + 677.247i −0.127901 + 0.780163i
\(92\) 168.307 + 198.147i 0.190731 + 0.224546i
\(93\) 536.927 632.120i 0.598675 0.704814i
\(94\) 272.625 + 1662.94i 0.299139 + 1.82467i
\(95\) −244.317 + 460.831i −0.263857 + 0.497687i
\(96\) −745.689 164.139i −0.792777 0.174503i
\(97\) −466.601 157.216i −0.488413 0.164566i 0.0643107 0.997930i \(-0.479515\pi\)
−0.552724 + 0.833364i \(0.686412\pi\)
\(98\) −35.2097 649.404i −0.0362930 0.669385i
\(99\) 48.7226 37.0379i 0.0494627 0.0376005i
\(100\) −416.229 785.090i −0.416229 0.785090i
\(101\) −327.113 1178.16i −0.322267 1.16070i −0.930303 0.366792i \(-0.880456\pi\)
0.608036 0.793910i \(-0.291958\pi\)
\(102\) 783.283 + 741.965i 0.760358 + 0.720250i
\(103\) −129.778 325.717i −0.124149 0.311591i 0.853745 0.520691i \(-0.174326\pi\)
−0.977894 + 0.209100i \(0.932947\pi\)
\(104\) 32.9949 11.1173i 0.0311098 0.0104821i
\(105\) −135.521 + 14.7388i −0.125957 + 0.0136986i
\(106\) 1680.96 + 777.696i 1.54028 + 0.712609i
\(107\) 1041.14 986.216i 0.940657 0.891038i −0.0535447 0.998565i \(-0.517052\pi\)
0.994202 + 0.107527i \(0.0342933\pi\)
\(108\) −181.128 108.981i −0.161380 0.0970993i
\(109\) 556.346 + 60.5063i 0.488884 + 0.0531693i 0.349242 0.937033i \(-0.386439\pi\)
0.139642 + 0.990202i \(0.455405\pi\)
\(110\) 89.6068 19.7240i 0.0776698 0.0170964i
\(111\) 43.4945 156.653i 0.0371920 0.133954i
\(112\) 750.148 451.349i 0.632878 0.380790i
\(113\) −1075.19 + 497.434i −0.895088 + 0.414112i −0.812831 0.582499i \(-0.802075\pi\)
−0.0822571 + 0.996611i \(0.526213\pi\)
\(114\) 679.485 1705.38i 0.558242 1.40108i
\(115\) 6.09674 112.448i 0.00494369 0.0911809i
\(116\) 815.139 + 1202.24i 0.652446 + 0.962286i
\(117\) 460.971 0.364246
\(118\) −1478.42 1032.11i −1.15338 0.805199i
\(119\) −1211.18 −0.933016
\(120\) 3.88113 + 5.72424i 0.00295247 + 0.00435457i
\(121\) −69.5553 + 1282.87i −0.0522580 + 0.963841i
\(122\) −596.852 + 1497.98i −0.442921 + 1.11165i
\(123\) 871.843 403.358i 0.639117 0.295687i
\(124\) −1854.61 + 1115.88i −1.34314 + 0.808139i
\(125\) −216.381 + 779.335i −0.154830 + 0.557646i
\(126\) 468.567 103.139i 0.331296 0.0729238i
\(127\) 1515.47 + 164.817i 1.05887 + 0.115159i 0.620946 0.783854i \(-0.286749\pi\)
0.437923 + 0.899012i \(0.355714\pi\)
\(128\) −74.5394 44.8489i −0.0514720 0.0309697i
\(129\) −596.795 + 565.315i −0.407325 + 0.385838i
\(130\) 627.199 + 290.173i 0.423146 + 0.195768i
\(131\) −180.254 + 19.6038i −0.120220 + 0.0130748i −0.168031 0.985782i \(-0.553741\pi\)
0.0478110 + 0.998856i \(0.484775\pi\)
\(132\) −151.359 + 50.9988i −0.0998039 + 0.0336279i
\(133\) 762.790 + 1914.46i 0.497311 + 1.24816i
\(134\) 2467.74 + 2337.57i 1.59090 + 1.50698i
\(135\) 24.4961 + 88.2268i 0.0156169 + 0.0562471i
\(136\) 28.7823 + 54.2892i 0.0181475 + 0.0342299i
\(137\) −919.607 + 699.067i −0.573484 + 0.435951i −0.851297 0.524684i \(-0.824183\pi\)
0.277813 + 0.960635i \(0.410390\pi\)
\(138\) 21.4578 + 395.765i 0.0132363 + 0.244129i
\(139\) −1438.71 484.759i −0.877914 0.295804i −0.155976 0.987761i \(-0.549852\pi\)
−0.721939 + 0.691957i \(0.756749\pi\)
\(140\) 347.438 + 76.4769i 0.209742 + 0.0461677i
\(141\) −595.185 + 1122.64i −0.355487 + 0.670520i
\(142\) 403.710 + 2462.52i 0.238582 + 1.45528i
\(143\) 225.486 265.462i 0.131861 0.155238i
\(144\) −380.688 448.181i −0.220306 0.259364i
\(145\) 101.789 620.888i 0.0582976 0.355600i
\(146\) 711.240 + 540.670i 0.403169 + 0.306481i
\(147\) 275.203 405.894i 0.154411 0.227738i
\(148\) −238.103 + 351.176i −0.132243 + 0.195044i
\(149\) 439.687 + 334.241i 0.241749 + 0.183773i 0.719032 0.694977i \(-0.244585\pi\)
−0.477283 + 0.878749i \(0.658378\pi\)
\(150\) 219.166 1336.85i 0.119299 0.727691i
\(151\) −555.505 653.991i −0.299380 0.352457i 0.591818 0.806071i \(-0.298410\pi\)
−0.891198 + 0.453614i \(0.850134\pi\)
\(152\) 67.6856 79.6856i 0.0361186 0.0425221i
\(153\) 131.616 + 802.820i 0.0695457 + 0.424210i
\(154\) 169.806 320.287i 0.0888528 0.167594i
\(155\) 915.628 + 201.545i 0.474484 + 0.104442i
\(156\) −1140.03 384.121i −0.585099 0.197143i
\(157\) −180.642 3331.75i −0.0918268 1.69365i −0.575026 0.818135i \(-0.695008\pi\)
0.483199 0.875511i \(-0.339475\pi\)
\(158\) −2681.76 + 2038.62i −1.35031 + 1.02648i
\(159\) 654.173 + 1233.90i 0.326285 + 0.615438i
\(160\) −230.910 831.663i −0.114094 0.410930i
\(161\) −323.024 305.984i −0.158123 0.149782i
\(162\) −119.283 299.377i −0.0578502 0.145193i
\(163\) 2812.39 947.604i 1.35143 0.455350i 0.451846 0.892096i \(-0.350766\pi\)
0.899585 + 0.436745i \(0.143869\pi\)
\(164\) −2492.27 + 271.051i −1.18667 + 0.129058i
\(165\) 62.7900 + 29.0497i 0.0296254 + 0.0137062i
\(166\) −2009.66 + 1903.65i −0.939638 + 0.890072i
\(167\) 2231.30 + 1342.53i 1.03391 + 0.622084i 0.928111 0.372304i \(-0.121432\pi\)
0.105800 + 0.994387i \(0.466260\pi\)
\(168\) 27.1650 + 2.95437i 0.0124751 + 0.00135675i
\(169\) 416.422 91.6615i 0.189541 0.0417212i
\(170\) −326.284 + 1175.17i −0.147205 + 0.530185i
\(171\) 1186.09 713.646i 0.530424 0.319146i
\(172\) 1947.00 900.780i 0.863126 0.399325i
\(173\) 381.252 956.871i 0.167549 0.420518i −0.821095 0.570792i \(-0.806636\pi\)
0.988644 + 0.150274i \(0.0480157\pi\)
\(174\) −119.886 + 2211.17i −0.0522331 + 0.963382i
\(175\) 853.445 + 1258.74i 0.368654 + 0.543723i
\(176\) −444.311 −0.190291
\(177\) −416.493 1294.20i −0.176868 0.549592i
\(178\) 1893.53 0.797336
\(179\) −2404.13 3545.83i −1.00387 1.48060i −0.872104 0.489321i \(-0.837245\pi\)
−0.131769 0.991280i \(-0.542066\pi\)
\(180\) 12.9369 238.606i 0.00535698 0.0988037i
\(181\) 386.512 970.071i 0.158725 0.398369i −0.828009 0.560715i \(-0.810527\pi\)
0.986734 + 0.162345i \(0.0519058\pi\)
\(182\) 2478.09 1146.49i 1.00928 0.466942i
\(183\) −1041.85 + 626.858i −0.420850 + 0.253217i
\(184\) −6.03895 + 21.7503i −0.00241955 + 0.00871444i
\(185\) 179.486 39.5079i 0.0713303 0.0157010i
\(186\) −3280.40 356.765i −1.29318 0.140641i
\(187\) 526.705 + 316.908i 0.205970 + 0.123928i
\(188\) 2407.43 2280.44i 0.933937 0.884672i
\(189\) 328.338 + 151.905i 0.126366 + 0.0584629i
\(190\) 2063.02 224.367i 0.787724 0.0856701i
\(191\) −2184.37 + 736.001i −0.827517 + 0.278823i −0.701018 0.713144i \(-0.747271\pi\)
−0.126499 + 0.991967i \(0.540374\pi\)
\(192\) 543.994 + 1365.32i 0.204476 + 0.513196i
\(193\) −2856.41 2705.74i −1.06533 1.00914i −0.999936 0.0112756i \(-0.996411\pi\)
−0.0653945 0.997859i \(-0.520831\pi\)
\(194\) 524.076 + 1887.55i 0.193951 + 0.698548i
\(195\) 244.084 + 460.392i 0.0896372 + 0.169074i
\(196\) −1018.83 + 774.495i −0.371294 + 0.282250i
\(197\) −88.7162 1636.27i −0.0320851 0.591775i −0.969730 0.244180i \(-0.921481\pi\)
0.937645 0.347595i \(-0.113002\pi\)
\(198\) −230.751 77.7492i −0.0828222 0.0279060i
\(199\) −1564.59 344.392i −0.557340 0.122680i −0.0726368 0.997358i \(-0.523141\pi\)
−0.484703 + 0.874679i \(0.661072\pi\)
\(200\) 36.1397 68.1666i 0.0127773 0.0241005i
\(201\) 414.657 + 2529.29i 0.145511 + 0.887575i
\(202\) −3149.35 + 3707.70i −1.09697 + 1.29145i
\(203\) −1609.34 1894.66i −0.556422 0.655071i
\(204\) 343.479 2095.13i 0.117884 0.719061i
\(205\) 864.492 + 657.170i 0.294530 + 0.223896i
\(206\) −782.839 + 1154.60i −0.264772 + 0.390509i
\(207\) −167.716 + 247.363i −0.0563145 + 0.0830576i
\(208\) −2664.15 2025.24i −0.888104 0.675119i
\(209\) 169.208 1032.12i 0.0560017 0.341595i
\(210\) 351.116 + 413.366i 0.115378 + 0.135833i
\(211\) −927.852 + 1092.35i −0.302730 + 0.356401i −0.892402 0.451242i \(-0.850981\pi\)
0.589672 + 0.807643i \(0.299257\pi\)
\(212\) −589.645 3596.68i −0.191024 1.16519i
\(213\) −881.367 + 1662.44i −0.283523 + 0.534780i
\(214\) −5572.21 1226.54i −1.77995 0.391796i
\(215\) −880.607 296.711i −0.279335 0.0941188i
\(216\) −0.993664 18.3271i −0.000313011 0.00577314i
\(217\) 2948.96 2241.74i 0.922529 0.701288i
\(218\) −1042.92 1967.16i −0.324017 0.611160i
\(219\) 180.225 + 649.111i 0.0556094 + 0.200287i
\(220\) −131.079 124.165i −0.0401699 0.0380509i
\(221\) 1713.68 + 4301.02i 0.521605 + 1.30913i
\(222\) −612.975 + 206.535i −0.185316 + 0.0624402i
\(223\) 2525.05 274.616i 0.758251 0.0824648i 0.279177 0.960240i \(-0.409938\pi\)
0.479074 + 0.877775i \(0.340973\pi\)
\(224\) −3095.05 1431.92i −0.923201 0.427118i
\(225\) 741.600 702.480i 0.219733 0.208142i
\(226\) 4038.67 + 2429.99i 1.18871 + 0.715222i
\(227\) 135.900 + 14.7800i 0.0397358 + 0.00432152i 0.127965 0.991779i \(-0.459155\pi\)
−0.0882295 + 0.996100i \(0.528121\pi\)
\(228\) −3527.99 + 776.570i −1.02477 + 0.225568i
\(229\) −1165.18 + 4196.61i −0.336234 + 1.21100i 0.581414 + 0.813608i \(0.302500\pi\)
−0.917647 + 0.397396i \(0.869914\pi\)
\(230\) −383.906 + 230.989i −0.110061 + 0.0662215i
\(231\) 248.086 114.777i 0.0706618 0.0326916i
\(232\) −46.6810 + 117.160i −0.0132102 + 0.0331550i
\(233\) −98.3054 + 1813.14i −0.0276403 + 0.509796i 0.951631 + 0.307243i \(0.0994065\pi\)
−0.979271 + 0.202553i \(0.935076\pi\)
\(234\) −1029.23 1517.99i −0.287532 0.424078i
\(235\) −1436.38 −0.398719
\(236\) −48.4043 + 3547.74i −0.0133511 + 0.978552i
\(237\) −2540.09 −0.696188
\(238\) 2704.25 + 3988.46i 0.736513 + 1.08628i
\(239\) 302.141 5572.66i 0.0817736 1.50822i −0.613623 0.789599i \(-0.710289\pi\)
0.695397 0.718626i \(-0.255229\pi\)
\(240\) 246.043 617.522i 0.0661751 0.166087i
\(241\) 5723.68 2648.06i 1.52985 0.707785i 0.538947 0.842340i \(-0.318822\pi\)
0.990906 + 0.134555i \(0.0429604\pi\)
\(242\) 4379.84 2635.26i 1.16342 0.700004i
\(243\) 65.0094 234.143i 0.0171620 0.0618118i
\(244\) 3098.94 682.129i 0.813072 0.178971i
\(245\) 551.104 + 59.9361i 0.143709 + 0.0156293i
\(246\) −3274.86 1970.42i −0.848770 0.510688i
\(247\) 5719.15 5417.47i 1.47328 1.39557i
\(248\) −170.561 78.9099i −0.0436719 0.0202048i
\(249\) −2075.05 + 225.675i −0.528115 + 0.0574360i
\(250\) 3049.49 1027.49i 0.771468 0.259938i
\(251\) 212.238 + 532.676i 0.0533718 + 0.133953i 0.953245 0.302198i \(-0.0977205\pi\)
−0.899873 + 0.436151i \(0.856341\pi\)
\(252\) −685.434 649.277i −0.171342 0.162304i
\(253\) 60.4114 + 217.582i 0.0150120 + 0.0540683i
\(254\) −2840.89 5358.49i −0.701785 1.32371i
\(255\) −732.121 + 556.544i −0.179793 + 0.136675i
\(256\) 230.920 + 4259.06i 0.0563768 + 1.03981i
\(257\) 2063.47 + 695.264i 0.500839 + 0.168752i 0.558371 0.829591i \(-0.311427\pi\)
−0.0575318 + 0.998344i \(0.518323\pi\)
\(258\) 3194.08 + 703.070i 0.770755 + 0.169656i
\(259\) 340.128 641.550i 0.0816005 0.153915i
\(260\) −220.008 1341.99i −0.0524781 0.320103i
\(261\) −1080.98 + 1272.62i −0.256363 + 0.301814i
\(262\) 467.015 + 549.812i 0.110123 + 0.129647i
\(263\) 141.824 865.087i 0.0332518 0.202827i −0.964976 0.262339i \(-0.915506\pi\)
0.998228 + 0.0595119i \(0.0189544\pi\)
\(264\) −11.0402 8.39251i −0.00257377 0.00195653i
\(265\) −885.966 + 1306.70i −0.205375 + 0.302906i
\(266\) 4601.27 6786.36i 1.06061 1.56428i
\(267\) 1136.65 + 864.061i 0.260532 + 0.198051i
\(268\) 1082.14 6600.73i 0.246649 1.50449i
\(269\) −2315.82 2726.39i −0.524900 0.617960i 0.434273 0.900781i \(-0.357005\pi\)
−0.959173 + 0.282822i \(0.908730\pi\)
\(270\) 235.841 277.653i 0.0531585 0.0625831i
\(271\) 784.467 + 4785.04i 0.175841 + 1.07258i 0.916303 + 0.400485i \(0.131158\pi\)
−0.740462 + 0.672098i \(0.765393\pi\)
\(272\) 2766.45 5218.08i 0.616694 1.16321i
\(273\) 2010.73 + 442.595i 0.445769 + 0.0981211i
\(274\) 4355.28 + 1467.47i 0.960264 + 0.323550i
\(275\) −41.7856 770.690i −0.00916278 0.168998i
\(276\) 620.904 471.999i 0.135413 0.102938i
\(277\) 408.707 + 770.903i 0.0886528 + 0.167217i 0.923874 0.382698i \(-0.125005\pi\)
−0.835221 + 0.549915i \(0.814660\pi\)
\(278\) 1615.93 + 5820.06i 0.348623 + 1.25563i
\(279\) −1806.37 1711.09i −0.387615 0.367169i
\(280\) 11.4332 + 28.6952i 0.00244023 + 0.00612452i
\(281\) −2595.65 + 874.577i −0.551045 + 0.185669i −0.581031 0.813882i \(-0.697350\pi\)
0.0299859 + 0.999550i \(0.490454\pi\)
\(282\) 5025.77 546.586i 1.06128 0.115421i
\(283\) 981.899 + 454.275i 0.206247 + 0.0954199i 0.520293 0.853988i \(-0.325823\pi\)
−0.314046 + 0.949408i \(0.601685\pi\)
\(284\) 3565.00 3376.94i 0.744872 0.705580i
\(285\) 1340.78 + 806.723i 0.278671 + 0.167671i
\(286\) −1377.62 149.826i −0.284827 0.0309768i
\(287\) 4190.20 922.334i 0.861811 0.189699i
\(288\) −612.806 + 2207.13i −0.125382 + 0.451584i
\(289\) −2791.55 + 1679.62i −0.568197 + 0.341873i
\(290\) −2271.87 + 1051.08i −0.460031 + 0.212833i
\(291\) −546.740 + 1372.21i −0.110139 + 0.276428i
\(292\) 95.1803 1755.50i 0.0190754 0.351824i
\(293\) 3026.26 + 4463.40i 0.603399 + 0.889947i 0.999602 0.0282163i \(-0.00898271\pi\)
−0.396203 + 0.918163i \(0.629672\pi\)
\(294\) −1951.07 −0.387037
\(295\) 1072.04 1101.25i 0.211581 0.217346i
\(296\) −36.8391 −0.00723389
\(297\) −103.037 151.969i −0.0201308 0.0296907i
\(298\) 118.965 2194.17i 0.0231256 0.426527i
\(299\) −629.536 + 1580.02i −0.121763 + 0.305601i
\(300\) −2419.42 + 1119.34i −0.465617 + 0.215418i
\(301\) −3145.96 + 1892.86i −0.602426 + 0.362468i
\(302\) −913.320 + 3289.48i −0.174025 + 0.626783i
\(303\) −3582.41 + 788.548i −0.679222 + 0.149508i
\(304\) −9990.26 1086.51i −1.88480 0.204985i
\(305\) −1177.73 708.615i −0.221103 0.133033i
\(306\) 2349.85 2225.89i 0.438993 0.415836i
\(307\) −5584.67 2583.74i −1.03822 0.480333i −0.174688 0.984624i \(-0.555892\pi\)
−0.863534 + 0.504291i \(0.831754\pi\)
\(308\) −709.185 + 77.1285i −0.131200 + 0.0142688i
\(309\) −996.797 + 335.860i −0.183514 + 0.0618331i
\(310\) −1380.66 3465.19i −0.252955 0.634869i
\(311\) −1038.38 983.603i −0.189328 0.179341i 0.587164 0.809468i \(-0.300244\pi\)
−0.776492 + 0.630127i \(0.783003\pi\)
\(312\) −27.9440 100.645i −0.00507057 0.0182626i
\(313\) 3589.01 + 6769.58i 0.648123 + 1.22249i 0.962006 + 0.273028i \(0.0880253\pi\)
−0.313883 + 0.949462i \(0.601630\pi\)
\(314\) −10568.2 + 8033.76i −1.89936 + 1.44386i
\(315\) 22.1406 + 408.360i 0.00396026 + 0.0730427i
\(316\) 6281.90 + 2116.62i 1.11831 + 0.376801i
\(317\) −6947.30 1529.22i −1.23091 0.270944i −0.448544 0.893761i \(-0.648057\pi\)
−0.782368 + 0.622816i \(0.785988\pi\)
\(318\) 2602.68 4909.18i 0.458966 0.865702i
\(319\) 204.110 + 1245.02i 0.0358243 + 0.218519i
\(320\) −1075.56 + 1266.25i −0.187893 + 0.221204i
\(321\) −2785.21 3279.00i −0.484284 0.570144i
\(322\) −286.391 + 1746.91i −0.0495650 + 0.302333i
\(323\) 11067.9 + 8413.59i 1.90661 + 1.44937i
\(324\) −355.883 + 524.888i −0.0610224 + 0.0900013i
\(325\) 3262.36 4811.62i 0.556810 0.821234i
\(326\) −9399.80 7145.54i −1.59695 1.21397i
\(327\) 271.613 1656.76i 0.0459334 0.280181i
\(328\) −140.917 165.901i −0.0237221 0.0279278i
\(329\) −3674.05 + 4325.42i −0.615674 + 0.724828i
\(330\) −44.5314 271.630i −0.00742841 0.0453113i
\(331\) 1614.69 3045.62i 0.268131 0.505748i −0.712485 0.701687i \(-0.752431\pi\)
0.980616 + 0.195939i \(0.0627754\pi\)
\(332\) 5319.86 + 1170.99i 0.879413 + 0.193573i
\(333\) −462.205 155.735i −0.0760622 0.0256283i
\(334\) −560.903 10345.2i −0.0918899 1.69481i
\(335\) −2306.55 + 1753.40i −0.376181 + 0.285965i
\(336\) −1230.23 2320.45i −0.199745 0.376759i
\(337\) 2458.40 + 8854.37i 0.397382 + 1.43124i 0.843917 + 0.536474i \(0.180244\pi\)
−0.446535 + 0.894766i \(0.647342\pi\)
\(338\) −1231.60 1166.64i −0.198196 0.187742i
\(339\) 1315.49 + 3301.62i 0.210759 + 0.528966i
\(340\) 2274.37 766.324i 0.362779 0.122235i
\(341\) −1868.96 + 203.262i −0.296804 + 0.0322794i
\(342\) −4998.28 2312.45i −0.790280 0.365623i
\(343\) 4926.72 4666.84i 0.775563 0.734652i
\(344\) 159.604 + 96.0308i 0.0250154 + 0.0150513i
\(345\) −335.858 36.5268i −0.0524116 0.00570010i
\(346\) −4002.24 + 880.959i −0.621855 + 0.136881i
\(347\) −2769.35 + 9974.31i −0.428434 + 1.54308i 0.362978 + 0.931798i \(0.381760\pi\)
−0.791412 + 0.611283i \(0.790654\pi\)
\(348\) 3733.82 2246.57i 0.575155 0.346059i
\(349\) −9704.56 + 4489.81i −1.48846 + 0.688636i −0.984548 0.175118i \(-0.943969\pi\)
−0.503915 + 0.863753i \(0.668107\pi\)
\(350\) 2239.55 5620.84i 0.342025 0.858419i
\(351\) 74.8695 1380.89i 0.0113853 0.209989i
\(352\) 971.275 + 1432.52i 0.147071 + 0.216914i
\(353\) −5195.99 −0.783440 −0.391720 0.920084i \(-0.628120\pi\)
−0.391720 + 0.920084i \(0.628120\pi\)
\(354\) −3331.91 + 4261.12i −0.500252 + 0.639762i
\(355\) −2127.03 −0.318003
\(356\) −2091.05 3084.07i −0.311307 0.459144i
\(357\) −196.716 + 3628.22i −0.0291634 + 0.537887i
\(358\) −6308.75 + 15833.8i −0.931362 + 2.33754i
\(359\) 6351.95 2938.73i 0.933825 0.432033i 0.106852 0.994275i \(-0.465923\pi\)
0.826973 + 0.562241i \(0.190061\pi\)
\(360\) 17.7779 10.6966i 0.00260271 0.00156600i
\(361\) 4493.55 16184.3i 0.655132 2.35957i
\(362\) −4057.45 + 893.113i −0.589102 + 0.129671i
\(363\) 3831.68 + 416.720i 0.554024 + 0.0602538i
\(364\) −4603.93 2770.09i −0.662944 0.398880i
\(365\) −552.866 + 523.703i −0.0792831 + 0.0751010i
\(366\) 4390.42 + 2031.23i 0.627025 + 0.290093i
\(367\) 1189.68 129.386i 0.169212 0.0184029i −0.0231207 0.999733i \(-0.507360\pi\)
0.192333 + 0.981330i \(0.438395\pi\)
\(368\) 2056.07 692.772i 0.291251 0.0981337i
\(369\) −1066.70 2677.21i −0.150488 0.377696i
\(370\) −530.846 502.844i −0.0745875 0.0706530i
\(371\) 1668.75 + 6010.29i 0.233523 + 0.841075i
\(372\) 3041.52 + 5736.92i 0.423913 + 0.799584i
\(373\) −7237.06 + 5501.47i −1.00461 + 0.763687i −0.971808 0.235774i \(-0.924237\pi\)
−0.0328056 + 0.999462i \(0.510444\pi\)
\(374\) −132.403 2442.02i −0.0183058 0.337631i
\(375\) 2299.43 + 774.769i 0.316646 + 0.106690i
\(376\) 281.189 + 61.8944i 0.0385671 + 0.00848926i
\(377\) −4451.09 + 8395.64i −0.608071 + 1.14694i
\(378\) −232.861 1420.39i −0.0316854 0.193273i
\(379\) 9418.50 11088.3i 1.27651 1.50282i 0.510682 0.859769i \(-0.329393\pi\)
0.765824 0.643050i \(-0.222331\pi\)
\(380\) −2643.67 3112.36i −0.356887 0.420160i
\(381\) 739.865 4512.98i 0.0994867 0.606842i
\(382\) 7300.79 + 5549.92i 0.977856 + 0.743347i
\(383\) 4464.41 6584.51i 0.595615 0.878467i −0.403722 0.914882i \(-0.632284\pi\)
0.999337 + 0.0364153i \(0.0115939\pi\)
\(384\) −146.456 + 216.006i −0.0194630 + 0.0287058i
\(385\) 245.994 + 187.000i 0.0325637 + 0.0247543i
\(386\) −2532.48 + 15447.4i −0.333937 + 2.03693i
\(387\) 1596.53 + 1879.58i 0.209705 + 0.246884i
\(388\) 2495.59 2938.04i 0.326532 0.384423i
\(389\) 429.100 + 2617.39i 0.0559286 + 0.341149i 0.999937 + 0.0112279i \(0.00357401\pi\)
−0.944008 + 0.329922i \(0.892978\pi\)
\(390\) 971.111 1831.71i 0.126087 0.237826i
\(391\) −2931.47 645.266i −0.379159 0.0834591i
\(392\) −105.303 35.4806i −0.0135678 0.00457154i
\(393\) 29.4489 + 543.153i 0.00377990 + 0.0697162i
\(394\) −5190.22 + 3945.50i −0.663654 + 0.504496i
\(395\) −1344.98 2536.90i −0.171325 0.323152i
\(396\) 128.189 + 461.695i 0.0162670 + 0.0585884i
\(397\) 6847.54 + 6486.33i 0.865663 + 0.820000i 0.984946 0.172861i \(-0.0553011\pi\)
−0.119283 + 0.992860i \(0.538060\pi\)
\(398\) 2359.21 + 5921.17i 0.297127 + 0.745732i
\(399\) 5858.84 1974.07i 0.735110 0.247688i
\(400\) −7372.31 + 801.787i −0.921538 + 0.100223i
\(401\) 7851.33 + 3632.41i 0.977747 + 0.452354i 0.842640 0.538477i \(-0.181000\pi\)
0.135107 + 0.990831i \(0.456862\pi\)
\(402\) 7403.23 7012.71i 0.918506 0.870055i
\(403\) −12133.1 7300.22i −1.49973 0.902358i
\(404\) 9516.76 + 1035.01i 1.17197 + 0.127460i
\(405\) 268.271 59.0509i 0.0329148 0.00724509i
\(406\) −2645.96 + 9529.89i −0.323440 + 1.16493i
\(407\) −315.773 + 189.994i −0.0384577 + 0.0231393i
\(408\) 167.304 77.4029i 0.0203009 0.00939219i
\(409\) 285.941 717.657i 0.0345693 0.0867625i −0.910679 0.413116i \(-0.864441\pi\)
0.945248 + 0.326353i \(0.105820\pi\)
\(410\) 233.903 4314.08i 0.0281747 0.519652i
\(411\) 1944.76 + 2868.31i 0.233402 + 0.344242i
\(412\) 2745.05 0.328250
\(413\) −574.114 6045.09i −0.0684027 0.720241i
\(414\) 1189.04 0.141155
\(415\) −1324.13 1952.94i −0.156624 0.231003i
\(416\) −705.751 + 13016.8i −0.0831786 + 1.53414i
\(417\) −1685.82 + 4231.08i −0.197973 + 0.496875i
\(418\) −3776.61 + 1747.24i −0.441913 + 0.204451i
\(419\) −7799.37 + 4692.73i −0.909366 + 0.547147i −0.891665 0.452696i \(-0.850462\pi\)
−0.0177008 + 0.999843i \(0.505635\pi\)
\(420\) 285.524 1028.36i 0.0331718 0.119474i
\(421\) 10450.2 2300.27i 1.20977 0.266290i 0.436110 0.899893i \(-0.356356\pi\)
0.773658 + 0.633603i \(0.218425\pi\)
\(422\) 5668.79 + 616.519i 0.653916 + 0.0711177i
\(423\) 3266.31 + 1965.27i 0.375445 + 0.225898i
\(424\) 229.745 217.626i 0.0263147 0.0249266i
\(425\) 9311.31 + 4307.87i 1.06274 + 0.491676i
\(426\) 7442.31 809.400i 0.846434 0.0920553i
\(427\) −5146.34 + 1734.00i −0.583252 + 0.196521i
\(428\) 4155.77 + 10430.2i 0.469338 + 1.17795i
\(429\) −758.596 718.580i −0.0853738 0.0808704i
\(430\) 989.080 + 3562.34i 0.110925 + 0.399515i
\(431\) 3004.67 + 5667.41i 0.335800 + 0.633387i 0.992703 0.120589i \(-0.0384783\pi\)
−0.656902 + 0.753976i \(0.728134\pi\)
\(432\) −1404.40 + 1067.60i −0.156410 + 0.118900i
\(433\) −245.064 4519.94i −0.0271987 0.501650i −0.980117 0.198422i \(-0.936418\pi\)
0.952918 0.303228i \(-0.0980644\pi\)
\(434\) −13966.4 4705.82i −1.54472 0.520476i
\(435\) −1843.40 405.763i −0.203182 0.0447238i
\(436\) −2052.28 + 3871.02i −0.225428 + 0.425202i
\(437\) 826.270 + 5040.02i 0.0904482 + 0.551709i
\(438\) 1735.15 2042.78i 0.189289 0.222848i
\(439\) −1757.99 2069.66i −0.191126 0.225011i 0.658250 0.752800i \(-0.271297\pi\)
−0.849376 + 0.527789i \(0.823021\pi\)
\(440\) 2.53620 15.4701i 0.000274792 0.00167616i
\(441\) −1171.20 890.322i −0.126466 0.0961367i
\(442\) 10337.2 15246.2i 1.11242 1.64070i
\(443\) −2271.29 + 3349.91i −0.243595 + 0.359275i −0.929757 0.368173i \(-0.879983\pi\)
0.686163 + 0.727448i \(0.259294\pi\)
\(444\) 1013.31 + 770.298i 0.108310 + 0.0823350i
\(445\) −261.117 + 1592.74i −0.0278160 + 0.169670i
\(446\) −6542.08 7701.93i −0.694566 0.817706i
\(447\) 1072.67 1262.84i 0.113502 0.133625i
\(448\) 1061.97 + 6477.75i 0.111995 + 0.683136i
\(449\) −2666.42 + 5029.41i −0.280259 + 0.528624i −0.983179 0.182644i \(-0.941534\pi\)
0.702920 + 0.711269i \(0.251879\pi\)
\(450\) −3969.08 873.661i −0.415787 0.0915217i
\(451\) −2063.51 695.279i −0.215448 0.0725929i
\(452\) −502.140 9261.42i −0.0522537 0.963762i
\(453\) −2049.32 + 1557.85i −0.212551 + 0.161577i
\(454\) −254.758 480.524i −0.0263356 0.0496742i
\(455\) 622.643 + 2242.56i 0.0641537 + 0.231061i
\(456\) −227.713 215.701i −0.0233852 0.0221516i
\(457\) 538.902 + 1352.54i 0.0551614 + 0.138445i 0.953975 0.299887i \(-0.0969489\pi\)
−0.898813 + 0.438332i \(0.855570\pi\)
\(458\) 16421.1 5532.92i 1.67535 0.564490i
\(459\) 2426.30 263.876i 0.246732 0.0268338i
\(460\) 800.175 + 370.200i 0.0811051 + 0.0375232i
\(461\) 8836.07 8369.97i 0.892704 0.845614i −0.0960173 0.995380i \(-0.530610\pi\)
0.988722 + 0.149765i \(0.0478518\pi\)
\(462\) −931.874 560.690i −0.0938413 0.0564625i
\(463\) 5108.98 + 555.635i 0.512818 + 0.0557723i 0.360870 0.932616i \(-0.382480\pi\)
0.151948 + 0.988388i \(0.451445\pi\)
\(464\) 11838.6 2605.87i 1.18447 0.260721i
\(465\) 752.462 2710.12i 0.0750421 0.270277i
\(466\) 6190.20 3724.52i 0.615355 0.370247i
\(467\) 16128.7 7461.95i 1.59818 0.739396i 0.600015 0.799989i \(-0.295161\pi\)
0.998163 + 0.0605932i \(0.0192992\pi\)
\(468\) −1335.83 + 3352.69i −0.131942 + 0.331150i
\(469\) −619.757 + 11430.7i −0.0610186 + 1.12542i
\(470\) 3207.05 + 4730.04i 0.314745 + 0.464214i
\(471\) −10009.9 −0.979263
\(472\) −257.318 + 169.388i −0.0250933 + 0.0165185i
\(473\) 1863.35 0.181135
\(474\) 5671.34 + 8364.60i 0.549564 + 0.810546i
\(475\) 945.081 17431.0i 0.0912911 1.68377i
\(476\) 3509.84 8809.04i 0.337969 0.848239i
\(477\) 3802.52 1759.23i 0.365001 0.168868i
\(478\) −19025.6 + 11447.3i −1.82052 + 1.09537i
\(479\) −1458.27 + 5252.20i −0.139102 + 0.501000i −0.999969 0.00782937i \(-0.997508\pi\)
0.860867 + 0.508829i \(0.169922\pi\)
\(480\) −2528.83 + 556.638i −0.240469 + 0.0529312i
\(481\) −2759.44 300.107i −0.261579 0.0284485i
\(482\) −21499.6 12935.9i −2.03170 1.22243i
\(483\) −969.071 + 917.953i −0.0912924 + 0.0864768i
\(484\) −9128.89 4223.47i −0.857333 0.396645i
\(485\) −1659.99 + 180.535i −0.155415 + 0.0169024i
\(486\) −916.188 + 308.700i −0.0855126 + 0.0288125i
\(487\) −4344.53 10903.9i −0.404249 1.01459i −0.980360 0.197217i \(-0.936810\pi\)
0.576111 0.817372i \(-0.304570\pi\)
\(488\) 200.020 + 189.469i 0.0185543 + 0.0175756i
\(489\) −2381.86 8578.70i −0.220269 0.793338i
\(490\) −1033.09 1948.62i −0.0952458 0.179653i
\(491\) 10988.4 8353.16i 1.00998 0.767766i 0.0371538 0.999310i \(-0.488171\pi\)
0.972824 + 0.231544i \(0.0743777\pi\)
\(492\) 407.173 + 7509.87i 0.0373105 + 0.688152i
\(493\) −15892.6 5354.83i −1.45186 0.489188i
\(494\) −30609.2 6737.60i −2.78780 0.613642i
\(495\) 97.2196 183.376i 0.00882767 0.0166507i
\(496\) 2922.30 + 17825.2i 0.264547 + 1.61366i
\(497\) −5440.63 + 6405.21i −0.491038 + 0.578094i
\(498\) 5376.18 + 6329.32i 0.483759 + 0.569526i
\(499\) 2038.24 12432.7i 0.182854 1.11536i −0.722710 0.691151i \(-0.757104\pi\)
0.905564 0.424209i \(-0.139448\pi\)
\(500\) −5041.13 3832.17i −0.450892 0.342759i
\(501\) 4384.08 6466.03i 0.390951 0.576609i
\(502\) 1280.25 1888.23i 0.113825 0.167880i
\(503\) 5795.73 + 4405.80i 0.513755 + 0.390546i 0.829681 0.558237i \(-0.188522\pi\)
−0.315926 + 0.948784i \(0.602315\pi\)
\(504\) 13.2622 80.8955i 0.00117211 0.00714955i
\(505\) −2684.45 3160.37i −0.236547 0.278485i
\(506\) 581.623 684.739i 0.0510994 0.0601588i
\(507\) −206.947 1262.32i −0.0181279 0.110575i
\(508\) −5590.36 + 10544.5i −0.488252 + 0.920942i
\(509\) −3735.29 822.199i −0.325272 0.0715979i 0.0493325 0.998782i \(-0.484291\pi\)
−0.374605 + 0.927185i \(0.622222\pi\)
\(510\) 3467.34 + 1168.28i 0.301052 + 0.101436i
\(511\) 162.895 + 3004.42i 0.0141019 + 0.260094i
\(512\) 12955.6 9848.60i 1.11829 0.850099i
\(513\) −1945.16 3668.96i −0.167409 0.315767i
\(514\) −2317.65 8347.41i −0.198885 0.716320i
\(515\) −863.243 817.707i −0.0738622 0.0699660i
\(516\) −2382.15 5978.75i −0.203233 0.510077i
\(517\) 2729.48 919.668i 0.232190 0.0782340i
\(518\) −2872.06 + 312.355i −0.243612 + 0.0264944i
\(519\) −2804.48 1297.49i −0.237193 0.109737i
\(520\) 85.7224 81.2006i 0.00722919 0.00684785i
\(521\) −5057.42 3042.95i −0.425277 0.255881i 0.286788 0.957994i \(-0.407412\pi\)
−0.712065 + 0.702113i \(0.752240\pi\)
\(522\) 6604.32 + 718.263i 0.553761 + 0.0602251i
\(523\) −1548.72 + 340.898i −0.129485 + 0.0285018i −0.279240 0.960221i \(-0.590083\pi\)
0.149755 + 0.988723i \(0.452151\pi\)
\(524\) 379.772 1367.81i 0.0316611 0.114033i
\(525\) 3909.29 2352.14i 0.324982 0.195535i
\(526\) −3165.41 + 1464.48i −0.262393 + 0.121396i
\(527\) 9249.74 23215.1i 0.764563 1.91891i
\(528\) −72.1636 + 1330.98i −0.00594795 + 0.109704i
\(529\) 6209.15 + 9157.81i 0.510327 + 0.752676i
\(530\) 6281.13 0.514783
\(531\) −3944.54 + 1037.45i −0.322370 + 0.0847861i
\(532\) −16134.5 −1.31489
\(533\) −9203.93 13574.8i −0.747967 1.10317i
\(534\) 307.540 5672.25i 0.0249224 0.459667i
\(535\) 1800.11 4517.94i 0.145469 0.365099i
\(536\) 527.092 243.859i 0.0424756 0.0196513i
\(537\) −11012.4 + 6625.91i −0.884950 + 0.532457i
\(538\) −3807.50 + 13713.4i −0.305117 + 1.09893i
\(539\) −1085.61 + 238.961i −0.0867542 + 0.0190960i
\(540\) −712.668 77.5073i −0.0567932 0.00617664i
\(541\) −5473.16 3293.09i −0.434953 0.261703i 0.281195 0.959651i \(-0.409269\pi\)
−0.716149 + 0.697948i \(0.754097\pi\)
\(542\) 14005.8 13267.0i 1.10996 1.05141i
\(543\) −2843.17 1315.39i −0.224700 0.103957i
\(544\) −22871.4 + 2487.41i −1.80258 + 0.196042i
\(545\) 1798.50 605.986i 0.141357 0.0476286i
\(546\) −3031.94 7609.59i −0.237646 0.596448i
\(547\) 13328.1 + 12625.1i 1.04181 + 0.986855i 0.999925 0.0122677i \(-0.00390504\pi\)
0.0418851 + 0.999122i \(0.486664\pi\)
\(548\) −2419.48 8714.18i −0.188604 0.679291i
\(549\) 1708.60 + 3222.77i 0.132826 + 0.250536i
\(550\) −2444.61 + 1858.34i −0.189525 + 0.144073i
\(551\) 1544.85 + 28493.0i 0.119442 + 2.20298i
\(552\) 64.1745 + 21.6229i 0.00494828 + 0.00166727i
\(553\) −11079.7 2438.83i −0.852003 0.187540i
\(554\) 1626.08 3067.10i 0.124703 0.235214i
\(555\) −89.1984 544.086i −0.00682209 0.0416129i
\(556\) 7694.89 9059.12i 0.586935 0.690994i
\(557\) 3779.93 + 4450.08i 0.287542 + 0.338521i 0.886901 0.461960i \(-0.152854\pi\)
−0.599359 + 0.800481i \(0.704578\pi\)
\(558\) −1601.52 + 9768.83i −0.121501 + 0.741125i
\(559\) 11172.9 + 8493.41i 0.845372 + 0.642635i
\(560\) 1666.13 2457.36i 0.125727 0.185433i
\(561\) 1034.87 1526.33i 0.0778831 0.114869i
\(562\) 8675.40 + 6594.87i 0.651156 + 0.494996i
\(563\) 3459.65 21102.9i 0.258982 1.57972i −0.462074 0.886841i \(-0.652895\pi\)
0.721056 0.692877i \(-0.243657\pi\)
\(564\) −6440.29 7582.09i −0.480824 0.566070i
\(565\) −2600.92 + 3062.04i −0.193666 + 0.228002i
\(566\) −696.375 4247.70i −0.0517152 0.315449i
\(567\) 508.376 958.898i 0.0376539 0.0710228i
\(568\) 416.393 + 91.6550i 0.0307596 + 0.00677070i
\(569\) −8775.01 2956.64i −0.646516 0.217836i −0.0231074 0.999733i \(-0.507356\pi\)
−0.623408 + 0.781896i \(0.714253\pi\)
\(570\) −337.045 6216.44i −0.0247672 0.456803i
\(571\) 12917.8 9819.84i 0.946746 0.719698i −0.0131908 0.999913i \(-0.504199\pi\)
0.959937 + 0.280215i \(0.0904058\pi\)
\(572\) 1277.30 + 2409.25i 0.0933684 + 0.176112i
\(573\) 1849.99 + 6663.05i 0.134877 + 0.485782i
\(574\) −12392.9 11739.1i −0.901164 0.853628i
\(575\) 1395.03 + 3501.25i 0.101177 + 0.253934i
\(576\) 4178.31 1407.84i 0.302250 0.101840i
\(577\) 5941.30 646.156i 0.428665 0.0466201i 0.108756 0.994068i \(-0.465313\pi\)
0.319909 + 0.947448i \(0.396348\pi\)
\(578\) 11763.8 + 5442.52i 0.846558 + 0.391659i
\(579\) −8569.23 + 8117.21i −0.615069 + 0.582624i
\(580\) 4220.80 + 2539.57i 0.302171 + 0.181810i
\(581\) −9267.91 1007.95i −0.661786 0.0719735i
\(582\) 5739.47 1263.35i 0.408778 0.0899788i
\(583\) 846.916 3050.31i 0.0601641 0.216691i
\(584\) 130.797 78.6980i 0.00926785 0.00557628i
\(585\) 1418.79 656.404i 0.100273 0.0463914i
\(586\) 7941.28 19931.1i 0.559815 1.40503i
\(587\) 1321.44 24372.5i 0.0929158 1.71373i −0.466231 0.884663i \(-0.654389\pi\)
0.559147 0.829069i \(-0.311129\pi\)
\(588\) 2154.60 + 3177.80i 0.151113 + 0.222875i
\(589\) −42520.4 −2.97457
\(590\) −6020.01 1071.46i −0.420068 0.0747651i
\(591\) −4916.03 −0.342163
\(592\) 1987.08 + 2930.72i 0.137953 + 0.203466i
\(593\) 1349.44 24888.9i 0.0934481 1.72355i −0.457671 0.889122i \(-0.651316\pi\)
0.551119 0.834427i \(-0.314201\pi\)
\(594\) −270.383 + 678.611i −0.0186767 + 0.0468750i
\(595\) −3727.82 + 1724.67i −0.256850 + 0.118831i
\(596\) −3705.12 + 2229.30i −0.254644 + 0.153214i
\(597\) −1285.78 + 4630.95i −0.0881462 + 0.317474i
\(598\) 6608.63 1454.67i 0.451918 0.0994747i
\(599\) −19304.7 2099.52i −1.31681 0.143212i −0.577398 0.816463i \(-0.695932\pi\)
−0.739414 + 0.673251i \(0.764897\pi\)
\(600\) −198.330 119.331i −0.0134947 0.00811947i
\(601\) −1906.41 + 1805.85i −0.129391 + 0.122566i −0.749659 0.661824i \(-0.769782\pi\)
0.620268 + 0.784390i \(0.287024\pi\)
\(602\) 13257.3 + 6133.50i 0.897556 + 0.415254i
\(603\) 7644.10 831.346i 0.516238 0.0561443i
\(604\) 6366.31 2145.06i 0.428877 0.144505i
\(605\) 1612.68 + 4047.51i 0.108371 + 0.271992i
\(606\) 10595.3 + 10036.4i 0.710237 + 0.672772i
\(607\) 2388.37 + 8602.15i 0.159705 + 0.575207i 0.999479 + 0.0322703i \(0.0102737\pi\)
−0.839774 + 0.542936i \(0.817312\pi\)
\(608\) 18335.9 + 34585.1i 1.22306 + 2.30693i
\(609\) −5937.04 + 4513.22i −0.395043 + 0.300304i
\(610\) 296.057 + 5460.44i 0.0196508 + 0.362437i
\(611\) 20558.3 + 6926.90i 1.36121 + 0.458645i
\(612\) −6220.39 1369.21i −0.410856 0.0904364i
\(613\) 373.474 704.446i 0.0246076 0.0464149i −0.870903 0.491454i \(-0.836465\pi\)
0.895511 + 0.445039i \(0.146810\pi\)
\(614\) 3960.72 + 24159.3i 0.260328 + 1.58793i
\(615\) 2109.03 2482.94i 0.138283 0.162799i
\(616\) −40.0985 47.2077i −0.00262275 0.00308774i
\(617\) −3269.66 + 19944.0i −0.213341 + 1.30132i 0.635264 + 0.772295i \(0.280891\pi\)
−0.848605 + 0.529027i \(0.822557\pi\)
\(618\) 3331.58 + 2532.60i 0.216854 + 0.164848i
\(619\) −6670.08 + 9837.63i −0.433107 + 0.638785i −0.980136 0.198329i \(-0.936449\pi\)
0.547029 + 0.837114i \(0.315759\pi\)
\(620\) −4119.22 + 6075.40i −0.266826 + 0.393538i
\(621\) 713.761 + 542.587i 0.0461228 + 0.0350616i
\(622\) −920.620 + 5615.53i −0.0593464 + 0.361997i
\(623\) 4128.39 + 4860.32i 0.265490 + 0.312560i
\(624\) −6499.50 + 7651.80i −0.416968 + 0.490893i
\(625\) −1851.51 11293.7i −0.118497 0.722799i
\(626\) 14279.2 26933.4i 0.911678 1.71961i
\(627\) −3064.34 674.513i −0.195180 0.0429624i
\(628\) 24755.6 + 8341.13i 1.57302 + 0.530011i
\(629\) −265.208 4891.48i −0.0168117 0.310073i
\(630\) 1295.31 984.667i 0.0819147 0.0622699i
\(631\) 3703.47 + 6985.49i 0.233650 + 0.440710i 0.972417 0.233251i \(-0.0749364\pi\)
−0.738767 + 0.673961i \(0.764592\pi\)
\(632\) 153.980 + 554.585i 0.00969144 + 0.0349054i
\(633\) 3121.55 + 2956.89i 0.196004 + 0.185665i
\(634\) 10475.7 + 26292.0i 0.656219 + 1.64699i
\(635\) 4899.07 1650.69i 0.306163 0.103158i
\(636\) −10870.0 + 1182.18i −0.677708 + 0.0737052i
\(637\) −7598.68 3515.52i −0.472639 0.218666i
\(638\) 3644.15 3451.92i 0.226134 0.214205i
\(639\) 4836.84 + 2910.23i 0.299441 + 0.180167i
\(640\) −293.283 31.8964i −0.0181141 0.00197003i
\(641\) −1820.18 + 400.652i −0.112157 + 0.0246877i −0.270694 0.962665i \(-0.587253\pi\)
0.158537 + 0.987353i \(0.449322\pi\)
\(642\) −4579.24 + 16492.9i −0.281508 + 1.01390i
\(643\) 3817.56 2296.95i 0.234137 0.140875i −0.393651 0.919260i \(-0.628788\pi\)
0.627788 + 0.778385i \(0.283961\pi\)
\(644\) 3161.53 1462.68i 0.193450 0.0894994i
\(645\) −1031.85 + 2589.76i −0.0629910 + 0.158095i
\(646\) 2994.60 55232.2i 0.182386 3.36390i
\(647\) −1754.74 2588.05i −0.106624 0.157259i 0.770633 0.637279i \(-0.219940\pi\)
−0.877258 + 0.480019i \(0.840630\pi\)
\(648\) −55.0619 −0.00333802
\(649\) −1332.04 + 2779.04i −0.0805659 + 0.168084i
\(650\) −23128.8 −1.39567
\(651\) −6236.41 9198.01i −0.375459 0.553761i
\(652\) −1257.91 + 23200.8i −0.0755576 + 1.39358i
\(653\) −10535.7 + 26442.7i −0.631385 + 1.58466i 0.169295 + 0.985565i \(0.445851\pi\)
−0.800680 + 0.599092i \(0.795528\pi\)
\(654\) −6062.21 + 2804.68i −0.362464 + 0.167694i
\(655\) −526.878 + 317.012i −0.0314302 + 0.0189109i
\(656\) −5597.16 + 20159.2i −0.333129 + 1.19982i
\(657\) 1973.75 434.455i 0.117204 0.0257986i
\(658\) 22446.9 + 2441.25i 1.32990 + 0.144635i
\(659\) −4581.45 2756.56i −0.270816 0.162945i 0.373668 0.927563i \(-0.378100\pi\)
−0.644484 + 0.764618i \(0.722928\pi\)
\(660\) −393.238 + 372.495i −0.0231921 + 0.0219687i
\(661\) 20583.7 + 9523.03i 1.21121 + 0.560368i 0.918343 0.395784i \(-0.129527\pi\)
0.292871 + 0.956152i \(0.405389\pi\)
\(662\) −13634.5 + 1482.84i −0.800483 + 0.0870578i
\(663\) 13162.5 4434.95i 0.771022 0.259788i
\(664\) 175.061 + 439.371i 0.0102315 + 0.0256791i
\(665\) 5073.85 + 4806.21i 0.295873 + 0.280266i
\(666\) 519.139 + 1869.77i 0.0302046 + 0.108787i
\(667\) −2885.76 5443.12i −0.167522 0.315980i
\(668\) −16230.3 + 12338.0i −0.940076 + 0.714627i
\(669\) −412.529 7608.65i −0.0238405 0.439712i
\(670\) 10923.9 + 3680.69i 0.629892 + 0.212235i
\(671\) 2691.68 + 592.484i 0.154860 + 0.0340873i
\(672\) −4792.16 + 9038.97i −0.275092 + 0.518878i
\(673\) 4063.55 + 24786.6i 0.232747 + 1.41969i 0.801899 + 0.597460i \(0.203823\pi\)
−0.569152 + 0.822232i \(0.692729\pi\)
\(674\) 23668.8 27865.0i 1.35265 1.59246i
\(675\) −1983.90 2335.63i −0.113127 0.133183i
\(676\) −540.073 + 3294.30i −0.0307279 + 0.187432i
\(677\) −3481.70 2646.72i −0.197655 0.150254i 0.501665 0.865062i \(-0.332721\pi\)
−0.699321 + 0.714808i \(0.746514\pi\)
\(678\) 7935.21 11703.6i 0.449484 0.662939i
\(679\) −3702.36 + 5460.57i −0.209254 + 0.308627i
\(680\) 165.893 + 126.108i 0.00935544 + 0.00711182i
\(681\) 66.3476 404.702i 0.00373340 0.0227727i
\(682\) 4842.24 + 5700.73i 0.271876 + 0.320077i
\(683\) −15486.5 + 18232.1i −0.867603 + 1.02142i 0.131942 + 0.991257i \(0.457879\pi\)
−0.999545 + 0.0301642i \(0.990397\pi\)
\(684\) 1753.29 + 10694.6i 0.0980097 + 0.597833i
\(685\) −1834.96 + 3461.09i −0.102350 + 0.193053i
\(686\) −26368.1 5804.06i −1.46755 0.323032i
\(687\) 12382.1 + 4172.02i 0.687638 + 0.231692i
\(688\) −969.267 17877.1i −0.0537107 0.990635i
\(689\) 18982.0 14429.7i 1.04957 0.797865i
\(690\) 629.597 + 1187.55i 0.0347367 + 0.0655204i
\(691\) −1705.82 6143.81i −0.0939110 0.338237i 0.901637 0.432494i \(-0.142366\pi\)
−0.995548 + 0.0942570i \(0.969952\pi\)
\(692\) 5854.59 + 5545.76i 0.321616 + 0.304651i
\(693\) −303.532 761.809i −0.0166382 0.0417586i
\(694\) 39028.9 13150.4i 2.13475 0.719282i
\(695\) −5118.40 + 556.659i −0.279355 + 0.0303817i
\(696\) 343.384 + 158.866i 0.0187011 + 0.00865204i
\(697\) 21013.7 19905.3i 1.14197 1.08173i
\(698\) 36452.8 + 21932.9i 1.97673 + 1.18936i
\(699\) 5415.46 + 588.967i 0.293035 + 0.0318695i
\(700\) −11628.1 + 2559.53i −0.627857 + 0.138202i
\(701\) −8131.97 + 29288.7i −0.438146 + 1.57806i 0.333974 + 0.942582i \(0.391610\pi\)
−0.772120 + 0.635477i \(0.780804\pi\)
\(702\) −4714.46 + 2836.60i −0.253470 + 0.152508i
\(703\) −7564.71 + 3499.81i −0.405844 + 0.187763i
\(704\) 1233.09 3094.83i 0.0660142 0.165683i
\(705\) −233.292 + 4302.82i −0.0124628 + 0.229863i
\(706\) 11601.2 + 17110.5i 0.618440 + 0.912130i
\(707\) −16383.4 −0.871514
\(708\) 10619.7 + 721.212i 0.563721 + 0.0382836i
\(709\) 3460.20 0.183287 0.0916434 0.995792i \(-0.470788\pi\)
0.0916434 + 0.995792i \(0.470788\pi\)
\(710\) 4749.09 + 7004.38i 0.251028 + 0.370239i
\(711\) −412.553 + 7609.09i −0.0217608 + 0.401355i
\(712\) 119.749 300.548i 0.00630308 0.0158195i
\(713\) 8331.80 3854.70i 0.437627 0.202468i
\(714\) 12387.1 7453.04i 0.649263 0.390649i
\(715\) 316.001 1138.13i 0.0165283 0.0595296i
\(716\) 32756.0 7210.13i 1.70970 0.376334i
\(717\) −16644.4 1810.19i −0.866941 0.0942855i
\(718\) −23859.5 14355.8i −1.24015 0.746175i
\(719\) −141.922 + 134.435i −0.00736132 + 0.00697301i −0.691371 0.722500i \(-0.742993\pi\)
0.684010 + 0.729473i \(0.260234\pi\)
\(720\) −1809.89 837.343i −0.0936813 0.0433416i
\(721\) −4670.44 + 507.941i −0.241243 + 0.0262368i
\(722\) −63328.3 + 21337.8i −3.26431 + 1.09988i
\(723\) −7002.89 17575.9i −0.360222 0.904089i
\(724\) 5935.36 + 5622.27i 0.304677 + 0.288605i
\(725\) 5633.43 + 20289.8i 0.288580 + 1.03937i
\(726\) −7182.83 13548.3i −0.367190 0.692593i
\(727\) −24392.9 + 18543.0i −1.24440 + 0.945972i −0.999721 0.0236313i \(-0.992477\pi\)
−0.244684 + 0.969603i \(0.578684\pi\)
\(728\) −25.2570 465.839i −0.00128584 0.0237158i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) 2958.97 + 651.319i 0.150023 + 0.0330225i
\(731\) −11601.9 + 21883.5i −0.587021 + 1.10724i
\(732\) −1540.07 9393.99i −0.0777630 0.474333i
\(733\) 2849.05 3354.16i 0.143563 0.169016i −0.685681 0.727902i \(-0.740495\pi\)
0.829244 + 0.558887i \(0.188771\pi\)
\(734\) −3082.31 3628.78i −0.155000 0.182480i
\(735\) 269.053 1641.15i 0.0135023 0.0823603i
\(736\) −6728.21 5114.65i −0.336964 0.256153i
\(737\) 3260.38 4808.71i 0.162955 0.240341i
\(738\) −6434.48 + 9490.14i −0.320944 + 0.473356i
\(739\) −19050.6 14481.9i −0.948293 0.720873i 0.0119824 0.999928i \(-0.496186\pi\)
−0.960275 + 0.279055i \(0.909979\pi\)
\(740\) −232.782 + 1419.91i −0.0115639 + 0.0705364i
\(741\) −15299.7 18012.2i −0.758499 0.892975i
\(742\) 16066.2 18914.6i 0.794891 0.935819i
\(743\) −614.555 3748.62i −0.0303443 0.185092i 0.967305 0.253615i \(-0.0816197\pi\)
−0.997650 + 0.0685229i \(0.978171\pi\)
\(744\) −264.085 + 498.116i −0.0130132 + 0.0245455i
\(745\) 1829.23 + 402.644i 0.0899568 + 0.0198010i
\(746\) 34274.9 + 11548.6i 1.68216 + 0.566787i
\(747\) 339.010 + 6252.66i 0.0166047 + 0.306256i
\(748\) −3831.22 + 2912.41i −0.187277 + 0.142364i
\(749\) −9000.63 16977.0i −0.439087 0.828205i
\(750\) −2582.67 9301.95i −0.125741 0.452879i
\(751\) −10985.0 10405.5i −0.533751 0.505596i 0.372674 0.927962i \(-0.378441\pi\)
−0.906425 + 0.422366i \(0.861200\pi\)
\(752\) −10243.2 25708.4i −0.496715 1.24666i
\(753\) 1630.16 549.264i 0.0788927 0.0265820i
\(754\) 37585.2 4087.64i 1.81535 0.197431i
\(755\) −2641.01 1221.86i −0.127306 0.0588981i
\(756\) −2056.30 + 1947.83i −0.0989245 + 0.0937063i
\(757\) 5079.14 + 3056.02i 0.243863 + 0.146728i 0.632239 0.774773i \(-0.282136\pi\)
−0.388376 + 0.921501i \(0.626964\pi\)
\(758\) −57543.2 6258.20i −2.75734 0.299878i
\(759\) 661.601 145.629i 0.0316398 0.00696445i
\(760\) 94.8561 341.641i 0.00452736 0.0163061i
\(761\) −5729.62 + 3447.40i −0.272929 + 0.164216i −0.645438 0.763813i \(-0.723325\pi\)
0.372509 + 0.928028i \(0.378497\pi\)
\(762\) −16513.3 + 7639.86i −0.785057 + 0.363206i
\(763\) 2775.48 6965.92i 0.131689 0.330515i
\(764\) 977.015 18020.0i 0.0462659 0.853324i
\(765\) 1548.27 + 2283.53i 0.0731738 + 0.107923i
\(766\) −31650.8 −1.49294
\(767\) −20654.4 + 10591.8i −0.972341 + 0.498630i
\(768\) 12795.9 0.601216
\(769\) 20463.7 + 30181.6i 0.959608 + 1.41532i 0.909093 + 0.416592i \(0.136776\pi\)
0.0505144 + 0.998723i \(0.483914\pi\)
\(770\) 66.5579 1227.59i 0.00311504 0.0574535i
\(771\) 2417.87 6068.41i 0.112941 0.283461i