Properties

Label 585.2.i.h.196.1
Level $585$
Weight $2$
Character 585.196
Analytic conductor $4.671$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 196.1
Character \(\chi\) \(=\) 585.196
Dual form 585.2.i.h.391.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33115 + 2.30562i) q^{2} +(0.397495 + 1.68582i) q^{3} +(-2.54392 - 4.40620i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-4.41599 - 1.32761i) q^{6} +(-0.723369 + 1.25291i) q^{7} +8.22077 q^{8} +(-2.68400 + 1.34021i) q^{9} +O(q^{10})\) \(q+(-1.33115 + 2.30562i) q^{2} +(0.397495 + 1.68582i) q^{3} +(-2.54392 - 4.40620i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-4.41599 - 1.32761i) q^{6} +(-0.723369 + 1.25291i) q^{7} +8.22077 q^{8} +(-2.68400 + 1.34021i) q^{9} -2.66230 q^{10} +(-3.18217 + 5.51168i) q^{11} +(6.41688 - 6.04004i) q^{12} +(-0.500000 - 0.866025i) q^{13} +(-1.92583 - 3.33563i) q^{14} +(-1.26122 + 1.18715i) q^{15} +(-5.85523 + 10.1416i) q^{16} +3.28767 q^{17} +(0.482786 - 7.97230i) q^{18} -2.89517 q^{19} +(2.54392 - 4.40620i) q^{20} +(-2.39972 - 0.721446i) q^{21} +(-8.47190 - 14.6738i) q^{22} +(0.613681 + 1.06293i) q^{23} +(3.26771 + 13.8588i) q^{24} +(-0.500000 + 0.866025i) q^{25} +2.66230 q^{26} +(-3.32623 - 3.99202i) q^{27} +7.36078 q^{28} +(4.73987 - 8.20970i) q^{29} +(-1.05825 - 4.48817i) q^{30} +(-1.20337 - 2.08429i) q^{31} +(-7.36762 - 12.7611i) q^{32} +(-10.5566 - 3.17371i) q^{33} +(-4.37638 + 7.58011i) q^{34} -1.44674 q^{35} +(12.7331 + 8.41684i) q^{36} -4.81693 q^{37} +(3.85391 - 6.67517i) q^{38} +(1.26122 - 1.18715i) q^{39} +(4.11038 + 7.11939i) q^{40} +(-2.75946 - 4.77952i) q^{41} +(4.85777 - 4.57250i) q^{42} +(3.60513 - 6.24426i) q^{43} +32.3808 q^{44} +(-2.50265 - 1.65430i) q^{45} -3.26760 q^{46} +(-4.00107 + 6.93005i) q^{47} +(-19.4243 - 5.83967i) q^{48} +(2.45347 + 4.24954i) q^{49} +(-1.33115 - 2.30562i) q^{50} +(1.30683 + 5.54242i) q^{51} +(-2.54392 + 4.40620i) q^{52} -0.623139 q^{53} +(13.6318 - 2.35505i) q^{54} -6.36434 q^{55} +(-5.94665 + 10.2999i) q^{56} +(-1.15082 - 4.88075i) q^{57} +(12.6190 + 21.8567i) q^{58} +(4.93828 + 8.55336i) q^{59} +(8.43927 + 2.53716i) q^{60} +(-2.24432 + 3.88728i) q^{61} +6.40745 q^{62} +(0.262354 - 4.33228i) q^{63} +15.8087 q^{64} +(0.500000 - 0.866025i) q^{65} +(21.3698 - 20.1149i) q^{66} +(1.63212 + 2.82692i) q^{67} +(-8.36357 - 14.4861i) q^{68} +(-1.54797 + 1.45706i) q^{69} +(1.92583 - 3.33563i) q^{70} -9.19831 q^{71} +(-22.0645 + 11.0176i) q^{72} +9.55989 q^{73} +(6.41206 - 11.1060i) q^{74} +(-1.65871 - 0.498671i) q^{75} +(7.36510 + 12.7567i) q^{76} +(-4.60377 - 7.97396i) q^{77} +(1.05825 + 4.48817i) q^{78} +(-7.82283 + 13.5495i) q^{79} -11.7105 q^{80} +(5.40767 - 7.19424i) q^{81} +14.6930 q^{82} +(0.526476 - 0.911883i) q^{83} +(2.92587 + 12.4090i) q^{84} +(1.64383 + 2.84720i) q^{85} +(9.59793 + 16.6241i) q^{86} +(15.7242 + 4.72728i) q^{87} +(-26.1599 + 45.3103i) q^{88} +2.96850 q^{89} +(7.14560 - 3.56804i) q^{90} +1.44674 q^{91} +(3.12231 - 5.40800i) q^{92} +(3.03542 - 2.85716i) q^{93} +(-10.6520 - 18.4499i) q^{94} +(-1.44759 - 2.50729i) q^{95} +(18.5843 - 17.4930i) q^{96} +(5.76786 - 9.99023i) q^{97} -13.0638 q^{98} +(1.15412 - 19.0581i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9} + 2 q^{10} + 9 q^{11} + 18 q^{12} - 15 q^{13} + 3 q^{14} + 2 q^{15} - 33 q^{16} + 6 q^{17} + 9 q^{18} + 30 q^{19} + 21 q^{20} + 9 q^{21} - 10 q^{22} - 6 q^{23} + 24 q^{24} - 15 q^{25} - 2 q^{26} - 2 q^{27} + 70 q^{28} + 8 q^{29} - 6 q^{30} - 22 q^{31} + 21 q^{32} - 20 q^{33} - 9 q^{34} - 20 q^{35} - 7 q^{36} + 8 q^{37} - 14 q^{38} - 2 q^{39} + 13 q^{41} + 21 q^{42} - 24 q^{43} + 10 q^{44} - 7 q^{45} - 6 q^{46} - q^{47} - 27 q^{48} - 37 q^{49} + q^{50} - q^{51} - 21 q^{52} + 14 q^{53} - 24 q^{54} + 18 q^{55} + 17 q^{56} - 55 q^{57} - 22 q^{58} + 19 q^{59} + 9 q^{60} - 16 q^{61} + 26 q^{62} + 4 q^{63} + 72 q^{64} + 15 q^{65} + 24 q^{66} - 11 q^{67} - 28 q^{68} + 44 q^{69} - 3 q^{70} - 56 q^{71} - 18 q^{72} + 52 q^{73} + 8 q^{74} + q^{75} - 18 q^{76} - 24 q^{77} + 6 q^{78} - 44 q^{79} - 66 q^{80} + 37 q^{81} + 70 q^{82} - 3 q^{83} - 139 q^{84} + 3 q^{85} + 40 q^{86} + 60 q^{87} - 37 q^{88} - 8 q^{89} - 12 q^{90} + 20 q^{91} - 74 q^{92} - 55 q^{93} - 2 q^{94} + 15 q^{95} + 55 q^{96} - 33 q^{97} + 6 q^{98} + 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33115 + 2.30562i −0.941265 + 1.63032i −0.178204 + 0.983994i \(0.557029\pi\)
−0.763062 + 0.646326i \(0.776305\pi\)
\(3\) 0.397495 + 1.68582i 0.229494 + 0.973310i
\(4\) −2.54392 4.40620i −1.27196 2.20310i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −4.41599 1.32761i −1.80282 0.541995i
\(7\) −0.723369 + 1.25291i −0.273408 + 0.473556i −0.969732 0.244171i \(-0.921484\pi\)
0.696324 + 0.717727i \(0.254818\pi\)
\(8\) 8.22077 2.90648
\(9\) −2.68400 + 1.34021i −0.894665 + 0.446737i
\(10\) −2.66230 −0.841893
\(11\) −3.18217 + 5.51168i −0.959461 + 1.66183i −0.235648 + 0.971839i \(0.575721\pi\)
−0.723813 + 0.689996i \(0.757612\pi\)
\(12\) 6.41688 6.04004i 1.85239 1.74361i
\(13\) −0.500000 0.866025i −0.138675 0.240192i
\(14\) −1.92583 3.33563i −0.514699 0.891484i
\(15\) −1.26122 + 1.18715i −0.325645 + 0.306521i
\(16\) −5.85523 + 10.1416i −1.46381 + 2.53539i
\(17\) 3.28767 0.797376 0.398688 0.917087i \(-0.369466\pi\)
0.398688 + 0.917087i \(0.369466\pi\)
\(18\) 0.482786 7.97230i 0.113794 1.87909i
\(19\) −2.89517 −0.664198 −0.332099 0.943244i \(-0.607757\pi\)
−0.332099 + 0.943244i \(0.607757\pi\)
\(20\) 2.54392 4.40620i 0.568838 0.985257i
\(21\) −2.39972 0.721446i −0.523663 0.157433i
\(22\) −8.47190 14.6738i −1.80621 3.12845i
\(23\) 0.613681 + 1.06293i 0.127961 + 0.221635i 0.922887 0.385072i \(-0.125823\pi\)
−0.794925 + 0.606707i \(0.792490\pi\)
\(24\) 3.26771 + 13.8588i 0.667019 + 2.82891i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 2.66230 0.522120
\(27\) −3.32623 3.99202i −0.640134 0.768264i
\(28\) 7.36078 1.39106
\(29\) 4.73987 8.20970i 0.880173 1.52450i 0.0290243 0.999579i \(-0.490760\pi\)
0.851148 0.524925i \(-0.175907\pi\)
\(30\) −1.05825 4.48817i −0.193209 0.819423i
\(31\) −1.20337 2.08429i −0.216131 0.374350i 0.737491 0.675357i \(-0.236011\pi\)
−0.953622 + 0.301007i \(0.902677\pi\)
\(32\) −7.36762 12.7611i −1.30242 2.25586i
\(33\) −10.5566 3.17371i −1.83767 0.552472i
\(34\) −4.37638 + 7.58011i −0.750543 + 1.29998i
\(35\) −1.44674 −0.244543
\(36\) 12.7331 + 8.41684i 2.12219 + 1.40281i
\(37\) −4.81693 −0.791898 −0.395949 0.918272i \(-0.629584\pi\)
−0.395949 + 0.918272i \(0.629584\pi\)
\(38\) 3.85391 6.67517i 0.625187 1.08286i
\(39\) 1.26122 1.18715i 0.201957 0.190096i
\(40\) 4.11038 + 7.11939i 0.649909 + 1.12567i
\(41\) −2.75946 4.77952i −0.430955 0.746436i 0.566001 0.824405i \(-0.308490\pi\)
−0.996956 + 0.0779687i \(0.975157\pi\)
\(42\) 4.85777 4.57250i 0.749571 0.705551i
\(43\) 3.60513 6.24426i 0.549777 0.952241i −0.448513 0.893776i \(-0.648046\pi\)
0.998289 0.0584647i \(-0.0186205\pi\)
\(44\) 32.3808 4.88159
\(45\) −2.50265 1.65430i −0.373074 0.246609i
\(46\) −3.26760 −0.481782
\(47\) −4.00107 + 6.93005i −0.583616 + 1.01085i 0.411431 + 0.911441i \(0.365029\pi\)
−0.995046 + 0.0994111i \(0.968304\pi\)
\(48\) −19.4243 5.83967i −2.80366 0.842884i
\(49\) 2.45347 + 4.24954i 0.350496 + 0.607077i
\(50\) −1.33115 2.30562i −0.188253 0.326064i
\(51\) 1.30683 + 5.54242i 0.182993 + 0.776095i
\(52\) −2.54392 + 4.40620i −0.352778 + 0.611030i
\(53\) −0.623139 −0.0855948 −0.0427974 0.999084i \(-0.513627\pi\)
−0.0427974 + 0.999084i \(0.513627\pi\)
\(54\) 13.6318 2.35505i 1.85505 0.320482i
\(55\) −6.36434 −0.858168
\(56\) −5.94665 + 10.2999i −0.794655 + 1.37638i
\(57\) −1.15082 4.88075i −0.152429 0.646471i
\(58\) 12.6190 + 21.8567i 1.65695 + 2.86993i
\(59\) 4.93828 + 8.55336i 0.642910 + 1.11355i 0.984780 + 0.173805i \(0.0556064\pi\)
−0.341870 + 0.939747i \(0.611060\pi\)
\(60\) 8.43927 + 2.53716i 1.08951 + 0.327546i
\(61\) −2.24432 + 3.88728i −0.287356 + 0.497715i −0.973178 0.230054i \(-0.926110\pi\)
0.685822 + 0.727769i \(0.259443\pi\)
\(62\) 6.40745 0.813747
\(63\) 0.262354 4.33228i 0.0330535 0.545816i
\(64\) 15.8087 1.97609
\(65\) 0.500000 0.866025i 0.0620174 0.107417i
\(66\) 21.3698 20.1149i 2.63044 2.47597i
\(67\) 1.63212 + 2.82692i 0.199395 + 0.345363i 0.948333 0.317278i \(-0.102769\pi\)
−0.748937 + 0.662641i \(0.769436\pi\)
\(68\) −8.36357 14.4861i −1.01423 1.75670i
\(69\) −1.54797 + 1.45706i −0.186354 + 0.175410i
\(70\) 1.92583 3.33563i 0.230180 0.398684i
\(71\) −9.19831 −1.09164 −0.545819 0.837903i \(-0.683782\pi\)
−0.545819 + 0.837903i \(0.683782\pi\)
\(72\) −22.0645 + 11.0176i −2.60033 + 1.29843i
\(73\) 9.55989 1.11890 0.559450 0.828864i \(-0.311012\pi\)
0.559450 + 0.828864i \(0.311012\pi\)
\(74\) 6.41206 11.1060i 0.745386 1.29105i
\(75\) −1.65871 0.498671i −0.191532 0.0575816i
\(76\) 7.36510 + 12.7567i 0.844834 + 1.46330i
\(77\) −4.60377 7.97396i −0.524648 0.908717i
\(78\) 1.05825 + 4.48817i 0.119823 + 0.508185i
\(79\) −7.82283 + 13.5495i −0.880138 + 1.52444i −0.0289505 + 0.999581i \(0.509217\pi\)
−0.851187 + 0.524862i \(0.824117\pi\)
\(80\) −11.7105 −1.30927
\(81\) 5.40767 7.19424i 0.600852 0.799360i
\(82\) 14.6930 1.62257
\(83\) 0.526476 0.911883i 0.0577882 0.100092i −0.835684 0.549210i \(-0.814929\pi\)
0.893472 + 0.449118i \(0.148262\pi\)
\(84\) 2.92587 + 12.4090i 0.319239 + 1.35393i
\(85\) 1.64383 + 2.84720i 0.178299 + 0.308823i
\(86\) 9.59793 + 16.6241i 1.03497 + 1.79262i
\(87\) 15.7242 + 4.72728i 1.68581 + 0.506817i
\(88\) −26.1599 + 45.3103i −2.78865 + 4.83009i
\(89\) 2.96850 0.314660 0.157330 0.987546i \(-0.449711\pi\)
0.157330 + 0.987546i \(0.449711\pi\)
\(90\) 7.14560 3.56804i 0.753213 0.376105i
\(91\) 1.44674 0.151659
\(92\) 3.12231 5.40800i 0.325523 0.563823i
\(93\) 3.03542 2.85716i 0.314758 0.296274i
\(94\) −10.6520 18.4499i −1.09867 1.90296i
\(95\) −1.44759 2.50729i −0.148519 0.257243i
\(96\) 18.5843 17.4930i 1.89676 1.78537i
\(97\) 5.76786 9.99023i 0.585638 1.01435i −0.409158 0.912464i \(-0.634177\pi\)
0.994796 0.101891i \(-0.0324893\pi\)
\(98\) −13.0638 −1.31964
\(99\) 1.15412 19.0581i 0.115993 1.91541i
\(100\) 5.08784 0.508784
\(101\) −7.39354 + 12.8060i −0.735685 + 1.27424i 0.218738 + 0.975784i \(0.429806\pi\)
−0.954422 + 0.298459i \(0.903527\pi\)
\(102\) −14.5183 4.36475i −1.43753 0.432174i
\(103\) −8.68255 15.0386i −0.855517 1.48180i −0.876165 0.482012i \(-0.839906\pi\)
0.0206480 0.999787i \(-0.493427\pi\)
\(104\) −4.11038 7.11939i −0.403056 0.698114i
\(105\) −0.575071 2.43894i −0.0561212 0.238017i
\(106\) 0.829492 1.43672i 0.0805674 0.139547i
\(107\) −0.863850 −0.0835116 −0.0417558 0.999128i \(-0.513295\pi\)
−0.0417558 + 0.999128i \(0.513295\pi\)
\(108\) −9.12795 + 24.8114i −0.878337 + 2.38748i
\(109\) −8.42962 −0.807411 −0.403706 0.914889i \(-0.632278\pi\)
−0.403706 + 0.914889i \(0.632278\pi\)
\(110\) 8.47190 14.6738i 0.807764 1.39909i
\(111\) −1.91470 8.12049i −0.181736 0.770763i
\(112\) −8.47099 14.6722i −0.800433 1.38639i
\(113\) 7.75673 + 13.4351i 0.729692 + 1.26386i 0.957013 + 0.290044i \(0.0936699\pi\)
−0.227321 + 0.973820i \(0.572997\pi\)
\(114\) 12.7851 + 3.84367i 1.19743 + 0.359992i
\(115\) −0.613681 + 1.06293i −0.0572260 + 0.0991184i
\(116\) −48.2315 −4.47818
\(117\) 2.50265 + 1.65430i 0.231370 + 0.152940i
\(118\) −26.2944 −2.42060
\(119\) −2.37820 + 4.11916i −0.218009 + 0.377603i
\(120\) −10.3682 + 9.75930i −0.946481 + 0.890898i
\(121\) −14.7524 25.5520i −1.34113 2.32290i
\(122\) −5.97506 10.3491i −0.540956 0.936964i
\(123\) 6.96056 6.55179i 0.627612 0.590755i
\(124\) −6.12255 + 10.6046i −0.549821 + 0.952318i
\(125\) −1.00000 −0.0894427
\(126\) 9.63936 + 6.37180i 0.858742 + 0.567645i
\(127\) −6.94619 −0.616374 −0.308187 0.951326i \(-0.599722\pi\)
−0.308187 + 0.951326i \(0.599722\pi\)
\(128\) −6.30852 + 10.9267i −0.557600 + 0.965791i
\(129\) 11.9597 + 3.59554i 1.05300 + 0.316570i
\(130\) 1.33115 + 2.30562i 0.116750 + 0.202216i
\(131\) 1.25570 + 2.17494i 0.109711 + 0.190026i 0.915653 0.401969i \(-0.131674\pi\)
−0.805942 + 0.591995i \(0.798341\pi\)
\(132\) 12.8712 + 54.5882i 1.12029 + 4.75130i
\(133\) 2.09428 3.62740i 0.181597 0.314535i
\(134\) −8.69040 −0.750736
\(135\) 1.79407 4.87661i 0.154409 0.419712i
\(136\) 27.0271 2.31756
\(137\) −5.87061 + 10.1682i −0.501560 + 0.868728i 0.498438 + 0.866925i \(0.333907\pi\)
−0.999998 + 0.00180247i \(0.999426\pi\)
\(138\) −1.29886 5.50860i −0.110566 0.468923i
\(139\) −2.54361 4.40566i −0.215746 0.373684i 0.737757 0.675066i \(-0.235885\pi\)
−0.953503 + 0.301383i \(0.902552\pi\)
\(140\) 3.68039 + 6.37462i 0.311050 + 0.538754i
\(141\) −13.2732 3.99043i −1.11781 0.336055i
\(142\) 12.2443 21.2078i 1.02752 1.77972i
\(143\) 6.36434 0.532213
\(144\) 2.12359 35.0672i 0.176966 2.92226i
\(145\) 9.47975 0.787250
\(146\) −12.7257 + 22.0415i −1.05318 + 1.82417i
\(147\) −6.18873 + 5.82529i −0.510438 + 0.480462i
\(148\) 12.2539 + 21.2244i 1.00726 + 1.74463i
\(149\) 7.09655 + 12.2916i 0.581372 + 1.00697i 0.995317 + 0.0966638i \(0.0308172\pi\)
−0.413945 + 0.910302i \(0.635849\pi\)
\(150\) 3.35774 3.16055i 0.274158 0.258058i
\(151\) −9.32826 + 16.1570i −0.759123 + 1.31484i 0.184175 + 0.982893i \(0.441039\pi\)
−0.943298 + 0.331946i \(0.892295\pi\)
\(152\) −23.8006 −1.93048
\(153\) −8.82409 + 4.40617i −0.713385 + 0.356218i
\(154\) 24.5132 1.97533
\(155\) 1.20337 2.08429i 0.0966568 0.167414i
\(156\) −8.43927 2.53716i −0.675682 0.203135i
\(157\) 4.47826 + 7.75657i 0.357404 + 0.619042i 0.987526 0.157454i \(-0.0503286\pi\)
−0.630122 + 0.776496i \(0.716995\pi\)
\(158\) −20.8267 36.0730i −1.65689 2.86981i
\(159\) −0.247694 1.05050i −0.0196434 0.0833102i
\(160\) 7.36762 12.7611i 0.582462 1.00885i
\(161\) −1.77567 −0.139942
\(162\) 9.38876 + 22.0446i 0.737651 + 1.73199i
\(163\) 7.33625 0.574619 0.287310 0.957838i \(-0.407239\pi\)
0.287310 + 0.957838i \(0.407239\pi\)
\(164\) −14.0397 + 24.3175i −1.09632 + 1.89887i
\(165\) −2.52979 10.7292i −0.196944 0.835263i
\(166\) 1.40164 + 2.42771i 0.108788 + 0.188426i
\(167\) 12.1937 + 21.1200i 0.943574 + 1.63432i 0.758581 + 0.651578i \(0.225893\pi\)
0.184993 + 0.982740i \(0.440774\pi\)
\(168\) −19.7276 5.93084i −1.52201 0.457575i
\(169\) −0.500000 + 0.866025i −0.0384615 + 0.0666173i
\(170\) −8.75276 −0.671306
\(171\) 7.77064 3.88014i 0.594235 0.296722i
\(172\) −36.6846 −2.79718
\(173\) −3.23269 + 5.59919i −0.245777 + 0.425698i −0.962350 0.271814i \(-0.912376\pi\)
0.716573 + 0.697512i \(0.245710\pi\)
\(174\) −31.8305 + 29.9613i −2.41307 + 2.27136i
\(175\) −0.723369 1.25291i −0.0546816 0.0947113i
\(176\) −37.2647 64.5444i −2.80893 4.86521i
\(177\) −12.4565 + 11.7250i −0.936288 + 0.881304i
\(178\) −3.95152 + 6.84423i −0.296179 + 0.512997i
\(179\) −22.9708 −1.71692 −0.858460 0.512880i \(-0.828578\pi\)
−0.858460 + 0.512880i \(0.828578\pi\)
\(180\) −0.922637 + 15.2356i −0.0687693 + 1.13560i
\(181\) −6.61872 −0.491966 −0.245983 0.969274i \(-0.579111\pi\)
−0.245983 + 0.969274i \(0.579111\pi\)
\(182\) −1.92583 + 3.33563i −0.142752 + 0.247253i
\(183\) −7.44537 2.23836i −0.550377 0.165464i
\(184\) 5.04493 + 8.73807i 0.371917 + 0.644179i
\(185\) −2.40846 4.17158i −0.177074 0.306701i
\(186\) 2.54693 + 10.8018i 0.186750 + 0.792028i
\(187\) −10.4619 + 18.1206i −0.765051 + 1.32511i
\(188\) 40.7136 2.96935
\(189\) 7.40774 1.27978i 0.538834 0.0930900i
\(190\) 7.70782 0.559184
\(191\) 8.85269 15.3333i 0.640558 1.10948i −0.344750 0.938694i \(-0.612036\pi\)
0.985308 0.170785i \(-0.0546303\pi\)
\(192\) 6.28388 + 26.6507i 0.453500 + 1.92335i
\(193\) −4.72348 8.18131i −0.340004 0.588904i 0.644429 0.764664i \(-0.277095\pi\)
−0.984433 + 0.175760i \(0.943762\pi\)
\(194\) 15.3558 + 26.5970i 1.10248 + 1.90955i
\(195\) 1.65871 + 0.498671i 0.118783 + 0.0357106i
\(196\) 12.4829 21.6210i 0.891635 1.54436i
\(197\) 0.754304 0.0537419 0.0268710 0.999639i \(-0.491446\pi\)
0.0268710 + 0.999639i \(0.491446\pi\)
\(198\) 42.4045 + 28.0302i 3.01355 + 1.99202i
\(199\) 11.9275 0.845515 0.422758 0.906243i \(-0.361062\pi\)
0.422758 + 0.906243i \(0.361062\pi\)
\(200\) −4.11038 + 7.11939i −0.290648 + 0.503417i
\(201\) −4.11692 + 3.87515i −0.290385 + 0.273332i
\(202\) −19.6838 34.0934i −1.38495 2.39880i
\(203\) 6.85736 + 11.8773i 0.481292 + 0.833623i
\(204\) 21.0966 19.8577i 1.47706 1.39031i
\(205\) 2.75946 4.77952i 0.192729 0.333816i
\(206\) 46.2311 3.22107
\(207\) −3.07166 2.03043i −0.213495 0.141125i
\(208\) 11.7105 0.811975
\(209\) 9.21294 15.9573i 0.637272 1.10379i
\(210\) 6.38878 + 1.92071i 0.440868 + 0.132541i
\(211\) 7.78824 + 13.4896i 0.536164 + 0.928664i 0.999106 + 0.0422753i \(0.0134606\pi\)
−0.462942 + 0.886389i \(0.653206\pi\)
\(212\) 1.58522 + 2.74568i 0.108873 + 0.188574i
\(213\) −3.65628 15.5067i −0.250524 1.06250i
\(214\) 1.14991 1.99171i 0.0786065 0.136151i
\(215\) 7.21025 0.491735
\(216\) −27.3442 32.8174i −1.86054 2.23294i
\(217\) 3.48192 0.236368
\(218\) 11.2211 19.4355i 0.759988 1.31634i
\(219\) 3.80001 + 16.1163i 0.256781 + 1.08904i
\(220\) 16.1904 + 28.0426i 1.09156 + 1.89063i
\(221\) −1.64383 2.84720i −0.110576 0.191524i
\(222\) 21.2715 + 6.39501i 1.42765 + 0.429205i
\(223\) 6.24236 10.8121i 0.418020 0.724031i −0.577721 0.816235i \(-0.696058\pi\)
0.995740 + 0.0922034i \(0.0293910\pi\)
\(224\) 21.3180 1.42437
\(225\) 0.181342 2.99451i 0.0120894 0.199634i
\(226\) −41.3015 −2.74734
\(227\) −5.10845 + 8.84809i −0.339059 + 0.587268i −0.984256 0.176748i \(-0.943442\pi\)
0.645197 + 0.764017i \(0.276775\pi\)
\(228\) −18.5780 + 17.4870i −1.23036 + 1.15810i
\(229\) −5.45618 9.45039i −0.360555 0.624499i 0.627497 0.778619i \(-0.284079\pi\)
−0.988052 + 0.154119i \(0.950746\pi\)
\(230\) −1.63380 2.82983i −0.107730 0.186593i
\(231\) 11.6127 10.9307i 0.764061 0.719190i
\(232\) 38.9654 67.4901i 2.55820 4.43094i
\(233\) 28.2905 1.85337 0.926685 0.375839i \(-0.122646\pi\)
0.926685 + 0.375839i \(0.122646\pi\)
\(234\) −7.14560 + 3.56804i −0.467123 + 0.233250i
\(235\) −8.00214 −0.522002
\(236\) 25.1252 43.5182i 1.63551 2.83279i
\(237\) −25.9517 7.80204i −1.68574 0.506797i
\(238\) −6.33148 10.9664i −0.410409 0.710849i
\(239\) −0.231350 0.400709i −0.0149648 0.0259197i 0.858446 0.512904i \(-0.171430\pi\)
−0.873411 + 0.486984i \(0.838097\pi\)
\(240\) −4.65485 19.7418i −0.300469 1.27433i
\(241\) −4.91935 + 8.52056i −0.316883 + 0.548857i −0.979836 0.199804i \(-0.935970\pi\)
0.662953 + 0.748661i \(0.269303\pi\)
\(242\) 78.5508 5.04944
\(243\) 14.2777 + 6.25670i 0.915917 + 0.401368i
\(244\) 22.8375 1.46202
\(245\) −2.45347 + 4.24954i −0.156747 + 0.271493i
\(246\) 5.84039 + 24.7698i 0.372370 + 1.57927i
\(247\) 1.44759 + 2.50729i 0.0921078 + 0.159535i
\(248\) −9.89260 17.1345i −0.628181 1.08804i
\(249\) 1.74654 + 0.525076i 0.110683 + 0.0332754i
\(250\) 1.33115 2.30562i 0.0841893 0.145820i
\(251\) −16.4559 −1.03869 −0.519343 0.854566i \(-0.673823\pi\)
−0.519343 + 0.854566i \(0.673823\pi\)
\(252\) −19.7563 + 9.86500i −1.24453 + 0.621436i
\(253\) −7.81135 −0.491095
\(254\) 9.24642 16.0153i 0.580172 1.00489i
\(255\) −4.14647 + 3.90296i −0.259662 + 0.244413i
\(256\) −0.986478 1.70863i −0.0616549 0.106789i
\(257\) 10.1035 + 17.4997i 0.630237 + 1.09160i 0.987503 + 0.157599i \(0.0503755\pi\)
−0.357266 + 0.934002i \(0.616291\pi\)
\(258\) −24.2102 + 22.7884i −1.50726 + 1.41874i
\(259\) 3.48442 6.03519i 0.216511 0.375009i
\(260\) −5.08784 −0.315535
\(261\) −1.71907 + 28.3872i −0.106408 + 1.75713i
\(262\) −6.68613 −0.413070
\(263\) −2.26972 + 3.93126i −0.139957 + 0.242412i −0.927480 0.373873i \(-0.878030\pi\)
0.787523 + 0.616285i \(0.211363\pi\)
\(264\) −86.7835 26.0904i −5.34115 1.60575i
\(265\) −0.311570 0.539654i −0.0191396 0.0331507i
\(266\) 5.57560 + 9.65723i 0.341862 + 0.592123i
\(267\) 1.17996 + 5.00437i 0.0722126 + 0.306262i
\(268\) 8.30398 14.3829i 0.507246 0.878577i
\(269\) −27.2598 −1.66206 −0.831028 0.556230i \(-0.812247\pi\)
−0.831028 + 0.556230i \(0.812247\pi\)
\(270\) 8.85543 + 10.6279i 0.538924 + 0.646796i
\(271\) 31.1821 1.89418 0.947088 0.320974i \(-0.104010\pi\)
0.947088 + 0.320974i \(0.104010\pi\)
\(272\) −19.2501 + 33.3421i −1.16721 + 2.02166i
\(273\) 0.575071 + 2.43894i 0.0348049 + 0.147612i
\(274\) −15.6293 27.0708i −0.944202 1.63541i
\(275\) −3.18217 5.51168i −0.191892 0.332367i
\(276\) 10.3580 + 3.11401i 0.623480 + 0.187441i
\(277\) 1.77087 3.06723i 0.106401 0.184292i −0.807909 0.589308i \(-0.799401\pi\)
0.914310 + 0.405016i \(0.132734\pi\)
\(278\) 13.5437 0.812298
\(279\) 6.02323 + 3.98147i 0.360601 + 0.238364i
\(280\) −11.8933 −0.710761
\(281\) −10.5580 + 18.2870i −0.629837 + 1.09091i 0.357747 + 0.933819i \(0.383545\pi\)
−0.987584 + 0.157091i \(0.949788\pi\)
\(282\) 26.8691 25.2912i 1.60003 1.50607i
\(283\) 4.36203 + 7.55526i 0.259296 + 0.449114i 0.966054 0.258342i \(-0.0831762\pi\)
−0.706758 + 0.707456i \(0.749843\pi\)
\(284\) 23.3998 + 40.5296i 1.38852 + 2.40499i
\(285\) 3.65145 3.43701i 0.216293 0.203591i
\(286\) −8.47190 + 14.6738i −0.500954 + 0.867677i
\(287\) 7.98443 0.471306
\(288\) 36.8772 + 24.3766i 2.17301 + 1.43640i
\(289\) −6.19124 −0.364191
\(290\) −12.6190 + 21.8567i −0.741011 + 1.28347i
\(291\) 19.1345 + 5.75253i 1.12168 + 0.337219i
\(292\) −24.3196 42.1228i −1.42320 2.46505i
\(293\) −11.7389 20.3324i −0.685793 1.18783i −0.973187 0.230016i \(-0.926122\pi\)
0.287393 0.957813i \(-0.407211\pi\)
\(294\) −5.19278 22.0232i −0.302849 1.28442i
\(295\) −4.93828 + 8.55336i −0.287518 + 0.497996i
\(296\) −39.5989 −2.30164
\(297\) 32.5874 5.62986i 1.89091 0.326677i
\(298\) −37.7863 −2.18890
\(299\) 0.613681 1.06293i 0.0354901 0.0614706i
\(300\) 2.02239 + 8.57720i 0.116763 + 0.495205i
\(301\) 5.21568 + 9.03382i 0.300627 + 0.520700i
\(302\) −24.8346 43.0148i −1.42907 2.47523i
\(303\) −24.5275 7.37389i −1.40907 0.423619i
\(304\) 16.9519 29.3616i 0.972259 1.68400i
\(305\) −4.48864 −0.257019
\(306\) 1.58724 26.2103i 0.0907364 1.49834i
\(307\) −5.57485 −0.318173 −0.159087 0.987265i \(-0.550855\pi\)
−0.159087 + 0.987265i \(0.550855\pi\)
\(308\) −23.4233 + 40.5703i −1.33466 + 2.31171i
\(309\) 21.9012 20.6150i 1.24591 1.17275i
\(310\) 3.20373 + 5.54902i 0.181959 + 0.315163i
\(311\) 5.09530 + 8.82532i 0.288928 + 0.500438i 0.973554 0.228456i \(-0.0733678\pi\)
−0.684626 + 0.728894i \(0.740034\pi\)
\(312\) 10.3682 9.75930i 0.586983 0.552511i
\(313\) 1.77250 3.07005i 0.100187 0.173530i −0.811574 0.584249i \(-0.801389\pi\)
0.911762 + 0.410719i \(0.134722\pi\)
\(314\) −23.8449 −1.34565
\(315\) 3.88304 1.93893i 0.218785 0.109247i
\(316\) 79.6027 4.47800
\(317\) 2.37169 4.10789i 0.133208 0.230722i −0.791704 0.610905i \(-0.790806\pi\)
0.924911 + 0.380183i \(0.124139\pi\)
\(318\) 2.75178 + 0.827287i 0.154312 + 0.0463920i
\(319\) 30.1662 + 52.2494i 1.68898 + 2.92540i
\(320\) 7.90435 + 13.6907i 0.441867 + 0.765336i
\(321\) −0.343376 1.45630i −0.0191654 0.0812826i
\(322\) 2.36368 4.09402i 0.131723 0.228151i
\(323\) −9.51837 −0.529616
\(324\) −45.4560 5.52570i −2.52533 0.306983i
\(325\) 1.00000 0.0554700
\(326\) −9.76565 + 16.9146i −0.540869 + 0.936813i
\(327\) −3.35073 14.2108i −0.185296 0.785862i
\(328\) −22.6849 39.2913i −1.25256 2.16950i
\(329\) −5.78850 10.0260i −0.319130 0.552750i
\(330\) 28.1049 + 8.44938i 1.54712 + 0.465123i
\(331\) 6.49290 11.2460i 0.356882 0.618138i −0.630556 0.776144i \(-0.717173\pi\)
0.987438 + 0.158006i \(0.0505065\pi\)
\(332\) −5.35725 −0.294017
\(333\) 12.9286 6.45570i 0.708484 0.353770i
\(334\) −64.9264 −3.55261
\(335\) −1.63212 + 2.82692i −0.0891724 + 0.154451i
\(336\) 21.3675 20.1127i 1.16569 1.09724i
\(337\) 14.6117 + 25.3082i 0.795949 + 1.37862i 0.922235 + 0.386631i \(0.126361\pi\)
−0.126285 + 0.991994i \(0.540305\pi\)
\(338\) −1.33115 2.30562i −0.0724050 0.125409i
\(339\) −19.5659 + 18.4168i −1.06267 + 1.00027i
\(340\) 8.36357 14.4861i 0.453578 0.785620i
\(341\) 15.3173 0.829477
\(342\) −1.39775 + 23.0812i −0.0755816 + 1.24809i
\(343\) −17.2262 −0.930130
\(344\) 29.6369 51.3326i 1.59791 2.76767i
\(345\) −2.03584 0.612049i −0.109606 0.0329516i
\(346\) −8.60640 14.9067i −0.462683 0.801390i
\(347\) 12.0724 + 20.9100i 0.648080 + 1.12251i 0.983581 + 0.180467i \(0.0577610\pi\)
−0.335501 + 0.942040i \(0.608906\pi\)
\(348\) −19.1718 81.3097i −1.02771 4.35866i
\(349\) 7.44307 12.8918i 0.398419 0.690081i −0.595112 0.803642i \(-0.702892\pi\)
0.993531 + 0.113561i \(0.0362258\pi\)
\(350\) 3.85165 0.205879
\(351\) −1.79407 + 4.87661i −0.0957604 + 0.260294i
\(352\) 93.7801 4.99850
\(353\) −2.27041 + 3.93247i −0.120842 + 0.209304i −0.920100 0.391684i \(-0.871893\pi\)
0.799258 + 0.600988i \(0.205226\pi\)
\(354\) −10.4519 44.3277i −0.555511 2.35599i
\(355\) −4.59916 7.96597i −0.244098 0.422790i
\(356\) −7.55163 13.0798i −0.400236 0.693229i
\(357\) −7.88949 2.37188i −0.417556 0.125533i
\(358\) 30.5776 52.9620i 1.61608 2.79913i
\(359\) −7.63511 −0.402966 −0.201483 0.979492i \(-0.564576\pi\)
−0.201483 + 0.979492i \(0.564576\pi\)
\(360\) −20.5737 13.5996i −1.08433 0.716764i
\(361\) −10.6180 −0.558840
\(362\) 8.81051 15.2603i 0.463070 0.802061i
\(363\) 37.2121 35.0267i 1.95313 1.83843i
\(364\) −3.68039 6.37462i −0.192905 0.334121i
\(365\) 4.77995 + 8.27911i 0.250194 + 0.433348i
\(366\) 15.0717 14.1866i 0.787810 0.741546i
\(367\) 1.93873 3.35798i 0.101201 0.175285i −0.810979 0.585075i \(-0.801065\pi\)
0.912180 + 0.409791i \(0.134398\pi\)
\(368\) −14.3730 −0.749243
\(369\) 13.8119 + 9.12996i 0.719021 + 0.475287i
\(370\) 12.8241 0.666694
\(371\) 0.450760 0.780739i 0.0234023 0.0405339i
\(372\) −20.3111 6.10627i −1.05308 0.316595i
\(373\) −6.51063 11.2767i −0.337108 0.583887i 0.646780 0.762677i \(-0.276115\pi\)
−0.983887 + 0.178789i \(0.942782\pi\)
\(374\) −27.8528 48.2424i −1.44023 2.49456i
\(375\) −0.397495 1.68582i −0.0205265 0.0870555i
\(376\) −32.8918 + 56.9704i −1.69627 + 2.93802i
\(377\) −9.47975 −0.488232
\(378\) −6.91014 + 18.7830i −0.355419 + 0.966093i
\(379\) 9.24190 0.474724 0.237362 0.971421i \(-0.423717\pi\)
0.237362 + 0.971421i \(0.423717\pi\)
\(380\) −7.36510 + 12.7567i −0.377821 + 0.654406i
\(381\) −2.76107 11.7100i −0.141454 0.599923i
\(382\) 23.5685 + 40.8219i 1.20587 + 2.08863i
\(383\) 7.56247 + 13.0986i 0.386424 + 0.669306i 0.991966 0.126508i \(-0.0403768\pi\)
−0.605542 + 0.795814i \(0.707044\pi\)
\(384\) −20.9281 6.29175i −1.06798 0.321075i
\(385\) 4.60377 7.97396i 0.234630 0.406391i
\(386\) 25.1507 1.28013
\(387\) −1.30752 + 21.5912i −0.0664649 + 1.09754i
\(388\) −58.6920 −2.97963
\(389\) 9.00633 15.5994i 0.456639 0.790922i −0.542142 0.840287i \(-0.682386\pi\)
0.998781 + 0.0493649i \(0.0157197\pi\)
\(390\) −3.35774 + 3.16055i −0.170026 + 0.160041i
\(391\) 2.01758 + 3.49455i 0.102033 + 0.176727i
\(392\) 20.1694 + 34.9345i 1.01871 + 1.76446i
\(393\) −3.16743 + 2.98142i −0.159776 + 0.150393i
\(394\) −1.00409 + 1.73914i −0.0505854 + 0.0876165i
\(395\) −15.6457 −0.787219
\(396\) −86.9099 + 43.3971i −4.36739 + 2.18078i
\(397\) 9.57454 0.480533 0.240266 0.970707i \(-0.422765\pi\)
0.240266 + 0.970707i \(0.422765\pi\)
\(398\) −15.8772 + 27.5002i −0.795854 + 1.37846i
\(399\) 6.94762 + 2.08871i 0.347816 + 0.104566i
\(400\) −5.85523 10.1416i −0.292762 0.507078i
\(401\) −0.121900 0.211137i −0.00608738 0.0105437i 0.862966 0.505263i \(-0.168604\pi\)
−0.869053 + 0.494719i \(0.835271\pi\)
\(402\) −3.45439 14.6505i −0.172289 0.730699i
\(403\) −1.20337 + 2.08429i −0.0599440 + 0.103826i
\(404\) 75.2343 3.74305
\(405\) 8.93423 + 1.08606i 0.443945 + 0.0539667i
\(406\) −36.5127 −1.81210
\(407\) 15.3283 26.5494i 0.759795 1.31600i
\(408\) 10.7431 + 45.5630i 0.531865 + 2.25570i
\(409\) −9.60170 16.6306i −0.474774 0.822332i 0.524809 0.851220i \(-0.324137\pi\)
−0.999583 + 0.0288881i \(0.990803\pi\)
\(410\) 7.34651 + 12.7245i 0.362818 + 0.628420i
\(411\) −19.4753 5.85501i −0.960646 0.288806i
\(412\) −44.1754 + 76.5141i −2.17637 + 3.76958i
\(413\) −14.2888 −0.703107
\(414\) 8.77024 4.37928i 0.431034 0.215230i
\(415\) 1.05295 0.0516874
\(416\) −7.36762 + 12.7611i −0.361227 + 0.625664i
\(417\) 6.41610 6.03931i 0.314198 0.295746i
\(418\) 24.5276 + 42.4831i 1.19968 + 2.07791i
\(419\) 2.72962 + 4.72785i 0.133351 + 0.230970i 0.924966 0.380049i \(-0.124093\pi\)
−0.791615 + 0.611020i \(0.790760\pi\)
\(420\) −9.28355 + 8.73836i −0.452991 + 0.426388i
\(421\) 2.57758 4.46450i 0.125624 0.217587i −0.796353 0.604832i \(-0.793240\pi\)
0.921977 + 0.387246i \(0.126573\pi\)
\(422\) −41.4693 −2.01869
\(423\) 1.45112 23.9625i 0.0705558 1.16510i
\(424\) −5.12268 −0.248779
\(425\) −1.64383 + 2.84720i −0.0797376 + 0.138110i
\(426\) 40.6197 + 12.2118i 1.96803 + 0.591663i
\(427\) −3.24695 5.62388i −0.157131 0.272158i
\(428\) 2.19757 + 3.80630i 0.106223 + 0.183984i
\(429\) 2.52979 + 10.7292i 0.122139 + 0.518008i
\(430\) −9.59793 + 16.6241i −0.462853 + 0.801685i
\(431\) 14.8501 0.715306 0.357653 0.933855i \(-0.383577\pi\)
0.357653 + 0.933855i \(0.383577\pi\)
\(432\) 59.9611 10.3590i 2.88488 0.498398i
\(433\) 26.7260 1.28437 0.642185 0.766549i \(-0.278028\pi\)
0.642185 + 0.766549i \(0.278028\pi\)
\(434\) −4.63495 + 8.02797i −0.222485 + 0.385355i
\(435\) 3.76815 + 15.9812i 0.180669 + 0.766239i
\(436\) 21.4443 + 37.1426i 1.02700 + 1.77881i
\(437\) −1.77671 3.07736i −0.0849917 0.147210i
\(438\) −42.2164 12.6918i −2.01718 0.606439i
\(439\) 2.32875 4.03352i 0.111145 0.192509i −0.805087 0.593157i \(-0.797881\pi\)
0.916232 + 0.400647i \(0.131215\pi\)
\(440\) −52.3198 −2.49425
\(441\) −12.2804 8.11758i −0.584781 0.386551i
\(442\) 8.75276 0.416326
\(443\) −0.370890 + 0.642400i −0.0176215 + 0.0305213i −0.874702 0.484662i \(-0.838943\pi\)
0.857080 + 0.515183i \(0.172276\pi\)
\(444\) −30.9097 + 29.0945i −1.46691 + 1.38076i
\(445\) 1.48425 + 2.57080i 0.0703602 + 0.121867i
\(446\) 16.6190 + 28.7850i 0.786935 + 1.36301i
\(447\) −17.9006 + 16.8494i −0.846669 + 0.796947i
\(448\) −11.4355 + 19.8069i −0.540278 + 0.935789i
\(449\) −8.35094 −0.394105 −0.197053 0.980393i \(-0.563137\pi\)
−0.197053 + 0.980393i \(0.563137\pi\)
\(450\) 6.66282 + 4.40425i 0.314088 + 0.207618i
\(451\) 35.1243 1.65394
\(452\) 39.4650 68.3555i 1.85628 3.21517i
\(453\) −30.9458 9.30347i −1.45396 0.437115i
\(454\) −13.6002 23.5563i −0.638290 1.10555i
\(455\) 0.723369 + 1.25291i 0.0339121 + 0.0587374i
\(456\) −9.46059 40.1235i −0.443033 1.87896i
\(457\) −10.7909 + 18.6905i −0.504779 + 0.874303i 0.495205 + 0.868776i \(0.335093\pi\)
−0.999985 + 0.00552746i \(0.998241\pi\)
\(458\) 29.0520 1.35751
\(459\) −10.9355 13.1244i −0.510427 0.612595i
\(460\) 6.24462 0.291157
\(461\) −0.517509 + 0.896351i −0.0241028 + 0.0417473i −0.877825 0.478981i \(-0.841006\pi\)
0.853722 + 0.520728i \(0.174340\pi\)
\(462\) 9.74388 + 41.3250i 0.453326 + 1.92261i
\(463\) 6.69950 + 11.6039i 0.311352 + 0.539278i 0.978655 0.205508i \(-0.0658848\pi\)
−0.667303 + 0.744786i \(0.732551\pi\)
\(464\) 55.5061 + 96.1394i 2.57681 + 4.46316i
\(465\) 3.99208 + 1.20017i 0.185128 + 0.0556565i
\(466\) −37.6589 + 65.2270i −1.74451 + 3.02158i
\(467\) −33.3566 −1.54356 −0.771779 0.635891i \(-0.780633\pi\)
−0.771779 + 0.635891i \(0.780633\pi\)
\(468\) 0.922637 15.2356i 0.0426489 0.704267i
\(469\) −4.72251 −0.218065
\(470\) 10.6520 18.4499i 0.491342 0.851030i
\(471\) −11.2961 + 10.6327i −0.520498 + 0.489931i
\(472\) 40.5965 + 70.3152i 1.86860 + 3.23652i
\(473\) 22.9443 + 39.7406i 1.05498 + 1.82728i
\(474\) 52.5341 49.4490i 2.41297 2.27127i
\(475\) 1.44759 2.50729i 0.0664198 0.115043i
\(476\) 24.1998 1.10920
\(477\) 1.67250 0.835138i 0.0765787 0.0382383i
\(478\) 1.23184 0.0563432
\(479\) 4.22926 7.32529i 0.193240 0.334701i −0.753082 0.657926i \(-0.771434\pi\)
0.946322 + 0.323225i \(0.104767\pi\)
\(480\) 24.4415 + 7.34804i 1.11560 + 0.335390i
\(481\) 2.40846 + 4.17158i 0.109817 + 0.190208i
\(482\) −13.0968 22.6843i −0.596542 1.03324i
\(483\) −0.705820 2.99347i −0.0321159 0.136207i
\(484\) −75.0580 + 130.004i −3.41173 + 5.90929i
\(485\) 11.5357 0.523810
\(486\) −33.4314 + 24.5904i −1.51648 + 1.11544i
\(487\) 17.1854 0.778745 0.389372 0.921080i \(-0.372692\pi\)
0.389372 + 0.921080i \(0.372692\pi\)
\(488\) −18.4500 + 31.9564i −0.835194 + 1.44660i
\(489\) 2.91612 + 12.3676i 0.131871 + 0.559283i
\(490\) −6.53188 11.3136i −0.295080 0.511094i
\(491\) 5.61462 + 9.72480i 0.253384 + 0.438874i 0.964455 0.264246i \(-0.0851230\pi\)
−0.711071 + 0.703120i \(0.751790\pi\)
\(492\) −46.5756 14.0024i −2.09979 0.631276i
\(493\) 15.5831 26.9908i 0.701829 1.21560i
\(494\) −7.70782 −0.346791
\(495\) 17.0819 8.52956i 0.767773 0.383375i
\(496\) 28.1840 1.26550
\(497\) 6.65378 11.5247i 0.298463 0.516953i
\(498\) −3.53554 + 3.32791i −0.158431 + 0.149127i
\(499\) 5.51594 + 9.55388i 0.246927 + 0.427691i 0.962672 0.270672i \(-0.0872458\pi\)
−0.715744 + 0.698362i \(0.753912\pi\)
\(500\) 2.54392 + 4.40620i 0.113768 + 0.197051i
\(501\) −30.7577 + 28.9515i −1.37415 + 1.29346i
\(502\) 21.9052 37.9410i 0.977679 1.69339i
\(503\) 11.0781 0.493947 0.246973 0.969022i \(-0.420564\pi\)
0.246973 + 0.969022i \(0.420564\pi\)
\(504\) 2.15675 35.6147i 0.0960693 1.58640i
\(505\) −14.7871 −0.658016
\(506\) 10.3981 18.0100i 0.462251 0.800642i
\(507\) −1.65871 0.498671i −0.0736660 0.0221468i
\(508\) 17.6706 + 30.6063i 0.784004 + 1.35793i
\(509\) −6.50575 11.2683i −0.288362 0.499458i 0.685057 0.728490i \(-0.259777\pi\)
−0.973419 + 0.229032i \(0.926444\pi\)
\(510\) −3.47917 14.7556i −0.154060 0.653389i
\(511\) −6.91533 + 11.9777i −0.305916 + 0.529863i
\(512\) −19.9815 −0.883066
\(513\) 9.63002 + 11.5576i 0.425176 + 0.510280i
\(514\) −53.7969 −2.37288
\(515\) 8.68255 15.0386i 0.382599 0.662680i
\(516\) −14.5819 61.8438i −0.641934 2.72252i
\(517\) −25.4642 44.1052i −1.11991 1.93975i
\(518\) 9.27657 + 16.0675i 0.407589 + 0.705965i
\(519\) −10.7242 3.22410i −0.470741 0.141522i
\(520\) 4.11038 7.11939i 0.180252 0.312206i
\(521\) −23.0283 −1.00889 −0.504443 0.863445i \(-0.668302\pi\)
−0.504443 + 0.863445i \(0.668302\pi\)
\(522\) −63.1619 41.7512i −2.76452 1.82740i
\(523\) 22.3493 0.977266 0.488633 0.872489i \(-0.337496\pi\)
0.488633 + 0.872489i \(0.337496\pi\)
\(524\) 6.38883 11.0658i 0.279097 0.483411i
\(525\) 1.82465 1.71750i 0.0796344 0.0749578i
\(526\) −6.04267 10.4662i −0.263473 0.456348i
\(527\) −3.95627 6.85246i −0.172338 0.298498i
\(528\) 93.9978 88.4777i 4.09073 3.85050i
\(529\) 10.7468 18.6140i 0.467252 0.809304i
\(530\) 1.65898 0.0720617
\(531\) −24.7176 16.3388i −1.07265 0.709045i
\(532\) −21.3107 −0.923938
\(533\) −2.75946 + 4.77952i −0.119525 + 0.207024i
\(534\) −13.1089 3.94102i −0.567276 0.170544i
\(535\) −0.431925 0.748116i −0.0186738 0.0323439i
\(536\) 13.4173 + 23.2394i 0.579539 + 1.00379i
\(537\) −9.13078 38.7247i −0.394022 1.67110i
\(538\) 36.2868 62.8506i 1.56444 2.70968i
\(539\) −31.2295 −1.34515
\(540\) −26.0513 + 4.50067i −1.12107 + 0.193678i
\(541\) −2.95715 −0.127138 −0.0635690 0.997977i \(-0.520248\pi\)
−0.0635690 + 0.997977i \(0.520248\pi\)
\(542\) −41.5080 + 71.8940i −1.78292 + 3.08811i
\(543\) −2.63091 11.1580i −0.112903 0.478835i
\(544\) −24.2223 41.9542i −1.03852 1.79877i
\(545\) −4.21481 7.30027i −0.180543 0.312709i
\(546\) −6.38878 1.92071i −0.273415 0.0821987i
\(547\) −8.58582 + 14.8711i −0.367103 + 0.635841i −0.989111 0.147169i \(-0.952984\pi\)
0.622008 + 0.783011i \(0.286317\pi\)
\(548\) 59.7375 2.55186
\(549\) 0.813977 13.4413i 0.0347397 0.573661i
\(550\) 16.9438 0.722486
\(551\) −13.7228 + 23.7685i −0.584609 + 1.01257i
\(552\) −12.7255 + 11.9782i −0.541633 + 0.509825i
\(553\) −11.3176 19.6027i −0.481273 0.833590i
\(554\) 4.71458 + 8.16588i 0.200303 + 0.346935i
\(555\) 6.07520 5.71843i 0.257878 0.242734i
\(556\) −12.9415 + 22.4153i −0.548842 + 0.950622i
\(557\) 18.7370 0.793912 0.396956 0.917838i \(-0.370066\pi\)
0.396956 + 0.917838i \(0.370066\pi\)
\(558\) −17.1976 + 8.58733i −0.728031 + 0.363531i
\(559\) −7.21025 −0.304961
\(560\) 8.47099 14.6722i 0.357965 0.620013i
\(561\) −34.7066 10.4341i −1.46532 0.440529i
\(562\) −28.1085 48.6854i −1.18569 2.05367i
\(563\) 0.702913 + 1.21748i 0.0296243 + 0.0513107i 0.880457 0.474125i \(-0.157236\pi\)
−0.850833 + 0.525436i \(0.823902\pi\)
\(564\) 16.1834 + 68.6359i 0.681446 + 2.89009i
\(565\) −7.75673 + 13.4351i −0.326328 + 0.565217i
\(566\) −23.2261 −0.976265
\(567\) 5.10201 + 11.9794i 0.214264 + 0.503089i
\(568\) −75.6172 −3.17283
\(569\) 9.82888 17.0241i 0.412048 0.713688i −0.583065 0.812425i \(-0.698147\pi\)
0.995114 + 0.0987368i \(0.0314802\pi\)
\(570\) 3.06382 + 12.9940i 0.128329 + 0.544260i
\(571\) 4.71190 + 8.16124i 0.197187 + 0.341537i 0.947615 0.319414i \(-0.103486\pi\)
−0.750428 + 0.660952i \(0.770153\pi\)
\(572\) −16.1904 28.0426i −0.676954 1.17252i
\(573\) 29.3681 + 8.82916i 1.22687 + 0.368843i
\(574\) −10.6285 + 18.4091i −0.443624 + 0.768379i
\(575\) −1.22736 −0.0511845
\(576\) −42.4305 + 21.1870i −1.76794 + 0.882792i
\(577\) 43.3327 1.80397 0.901983 0.431772i \(-0.142111\pi\)
0.901983 + 0.431772i \(0.142111\pi\)
\(578\) 8.24147 14.2747i 0.342800 0.593747i
\(579\) 11.9147 11.2150i 0.495157 0.466079i
\(580\) −24.1157 41.7697i −1.00135 1.73439i
\(581\) 0.761673 + 1.31926i 0.0315995 + 0.0547320i
\(582\) −38.7340 + 36.4593i −1.60558 + 1.51129i
\(583\) 1.98294 3.43455i 0.0821248 0.142244i
\(584\) 78.5896 3.25206
\(585\) −0.181342 + 2.99451i −0.00749755 + 0.123808i
\(586\) 62.5049 2.58205
\(587\) 19.8852 34.4422i 0.820752 1.42158i −0.0843719 0.996434i \(-0.526888\pi\)
0.905123 0.425149i \(-0.139778\pi\)
\(588\) 41.4111 + 12.4497i 1.70776 + 0.513417i
\(589\) 3.48396 + 6.03439i 0.143554 + 0.248643i
\(590\) −13.1472 22.7716i −0.541262 0.937492i
\(591\) 0.299832 + 1.27162i 0.0123334 + 0.0523076i
\(592\) 28.2042 48.8512i 1.15919 2.00777i
\(593\) −5.46481 −0.224413 −0.112207 0.993685i \(-0.535792\pi\)
−0.112207 + 0.993685i \(0.535792\pi\)
\(594\) −30.3984 + 82.6282i −1.24726 + 3.39028i
\(595\) −4.75640 −0.194993
\(596\) 36.1061 62.5376i 1.47896 2.56164i
\(597\) 4.74110 + 20.1076i 0.194040 + 0.822948i
\(598\) 1.63380 + 2.82983i 0.0668111 + 0.115720i
\(599\) −3.79177 6.56754i −0.154928 0.268342i 0.778105 0.628134i \(-0.216181\pi\)
−0.933033 + 0.359792i \(0.882848\pi\)
\(600\) −13.6359 4.09946i −0.556683 0.167360i
\(601\) 2.69189 4.66249i 0.109804 0.190187i −0.805887 0.592070i \(-0.798311\pi\)
0.915691 + 0.401883i \(0.131644\pi\)
\(602\) −27.7714 −1.13188
\(603\) −8.16928 5.40005i −0.332679 0.219907i
\(604\) 94.9215 3.86230
\(605\) 14.7524 25.5520i 0.599771 1.03883i
\(606\) 49.6512 46.7354i 2.01694 1.89849i
\(607\) −1.93438 3.35044i −0.0785141 0.135990i 0.824095 0.566452i \(-0.191684\pi\)
−0.902609 + 0.430461i \(0.858351\pi\)
\(608\) 21.3305 + 36.9456i 0.865068 + 1.49834i
\(609\) −17.2973 + 16.2815i −0.700920 + 0.659758i
\(610\) 5.97506 10.3491i 0.241923 0.419023i
\(611\) 8.00214 0.323732
\(612\) 41.8622 + 27.6718i 1.69218 + 1.11856i
\(613\) −43.7711 −1.76790 −0.883950 0.467582i \(-0.845125\pi\)
−0.883950 + 0.467582i \(0.845125\pi\)
\(614\) 7.42096 12.8535i 0.299486 0.518724i
\(615\) 9.15430 + 2.75212i 0.369137 + 0.110976i
\(616\) −37.8465 65.5521i −1.52488 2.64117i
\(617\) −1.28203 2.22054i −0.0516125 0.0893955i 0.839065 0.544031i \(-0.183103\pi\)
−0.890677 + 0.454636i \(0.849769\pi\)
\(618\) 18.3766 + 77.9374i 0.739216 + 3.13510i
\(619\) −12.8135 + 22.1937i −0.515019 + 0.892039i 0.484829 + 0.874609i \(0.338882\pi\)
−0.999848 + 0.0174298i \(0.994452\pi\)
\(620\) −12.2451 −0.491775
\(621\) 2.20197 5.98536i 0.0883621 0.240184i
\(622\) −27.1304 −1.08783
\(623\) −2.14732 + 3.71927i −0.0860306 + 0.149009i
\(624\) 4.65485 + 19.7418i 0.186343 + 0.790303i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 4.71892 + 8.17341i 0.188606 + 0.326675i
\(627\) 30.5632 + 9.18845i 1.22058 + 0.366951i
\(628\) 22.7847 39.4642i 0.909208 1.57479i
\(629\) −15.8365 −0.631441
\(630\) −0.698465 + 11.5338i −0.0278275 + 0.459519i
\(631\) −13.7360 −0.546820 −0.273410 0.961898i \(-0.588152\pi\)
−0.273410 + 0.961898i \(0.588152\pi\)
\(632\) −64.3097 + 111.388i −2.55810 + 4.43076i
\(633\) −19.6453 + 18.4916i −0.780832 + 0.734977i
\(634\) 6.31416 + 10.9364i 0.250767 + 0.434342i
\(635\) −3.47309 6.01557i −0.137825 0.238721i
\(636\) −3.99861 + 3.76379i −0.158555 + 0.149244i
\(637\) 2.45347 4.24954i 0.0972102 0.168373i
\(638\) −160.623 −6.35912
\(639\) 24.6882 12.3277i 0.976651 0.487675i
\(640\) −12.6170 −0.498733
\(641\) 20.2287 35.0372i 0.798986 1.38389i −0.121290 0.992617i \(-0.538703\pi\)
0.920277 0.391268i \(-0.127963\pi\)
\(642\) 3.81476 + 1.14686i 0.150556 + 0.0452629i
\(643\) −6.51895 11.2912i −0.257082 0.445280i 0.708377 0.705835i \(-0.249428\pi\)
−0.965459 + 0.260555i \(0.916095\pi\)
\(644\) 4.51717 + 7.82397i 0.178001 + 0.308307i
\(645\) 2.86604 + 12.1552i 0.112850 + 0.478611i
\(646\) 12.6704 21.9457i 0.498509 0.863444i
\(647\) 18.2690 0.718228 0.359114 0.933294i \(-0.383079\pi\)
0.359114 + 0.933294i \(0.383079\pi\)
\(648\) 44.4552 59.1422i 1.74637 2.32332i
\(649\) −62.8579 −2.46739
\(650\) −1.33115 + 2.30562i −0.0522120 + 0.0904338i
\(651\) 1.38404 + 5.86989i 0.0542449 + 0.230059i
\(652\) −18.6628 32.3250i −0.730893 1.26594i
\(653\) 11.8679 + 20.5557i 0.464425 + 0.804408i 0.999175 0.0406024i \(-0.0129277\pi\)
−0.534750 + 0.845010i \(0.679594\pi\)
\(654\) 37.2251 + 11.1913i 1.45562 + 0.437613i
\(655\) −1.25570 + 2.17494i −0.0490644 + 0.0849821i
\(656\) 64.6291 2.52334
\(657\) −25.6587 + 12.8123i −1.00104 + 0.499854i
\(658\) 30.8214 1.20155
\(659\) 7.66645 13.2787i 0.298643 0.517264i −0.677183 0.735815i \(-0.736799\pi\)
0.975826 + 0.218550i \(0.0701328\pi\)
\(660\) −40.8392 + 38.4409i −1.58966 + 1.49631i
\(661\) −4.60725 7.98000i −0.179201 0.310386i 0.762406 0.647099i \(-0.224018\pi\)
−0.941607 + 0.336713i \(0.890685\pi\)
\(662\) 17.2861 + 29.9403i 0.671841 + 1.16366i
\(663\) 4.14647 3.90296i 0.161035 0.151578i
\(664\) 4.32803 7.49637i 0.167960 0.290916i
\(665\) 4.18856 0.162425
\(666\) −2.32554 + 38.4020i −0.0901130 + 1.48805i
\(667\) 11.6351 0.450512
\(668\) 62.0395 107.455i 2.40038 4.15758i
\(669\) 20.7086 + 6.22577i 0.800640 + 0.240702i
\(670\) −4.34520 7.52611i −0.167870 0.290759i
\(671\) −14.2836 24.7400i −0.551413 0.955076i
\(672\) 8.47381 + 35.9384i 0.326884 + 1.38636i
\(673\) −1.78922 + 3.09902i −0.0689694 + 0.119459i −0.898448 0.439080i \(-0.855304\pi\)
0.829478 + 0.558539i \(0.188638\pi\)
\(674\) −77.8014 −2.99680
\(675\) 5.12030 0.884593i 0.197081 0.0340480i
\(676\) 5.08784 0.195686
\(677\) −25.5885 + 44.3206i −0.983446 + 1.70338i −0.334799 + 0.942290i \(0.608668\pi\)
−0.648648 + 0.761089i \(0.724665\pi\)
\(678\) −16.4171 69.6270i −0.630496 2.67401i
\(679\) 8.34459 + 14.4533i 0.320236 + 0.554665i
\(680\) 13.5136 + 23.4062i 0.518222 + 0.897587i
\(681\) −16.9469 5.09487i −0.649406 0.195236i
\(682\) −20.3896 + 35.3158i −0.780758 + 1.35231i
\(683\) −19.6179 −0.750657 −0.375329 0.926892i \(-0.622470\pi\)
−0.375329 + 0.926892i \(0.622470\pi\)
\(684\) −36.8646 24.3682i −1.40955 0.931742i
\(685\) −11.7412 −0.448609
\(686\) 22.9307 39.7172i 0.875499 1.51641i
\(687\) 13.7629 12.9546i 0.525086 0.494250i
\(688\) 42.2177 + 73.1232i 1.60953 + 2.78780i
\(689\) 0.311570 + 0.539654i 0.0118699 + 0.0205592i
\(690\) 4.12116 3.87914i 0.156890 0.147676i
\(691\) 21.0821 36.5152i 0.802000 1.38911i −0.116297 0.993214i \(-0.537102\pi\)
0.918297 0.395891i \(-0.129564\pi\)
\(692\) 32.8949 1.25048
\(693\) 23.0433 + 15.2321i 0.875342 + 0.578618i
\(694\) −64.2806 −2.44006
\(695\) 2.54361 4.40566i 0.0964847 0.167116i
\(696\) 129.265 + 38.8618i 4.89977 + 1.47305i
\(697\) −9.07218 15.7135i −0.343633 0.595191i
\(698\) 19.8157 + 34.3218i 0.750035 + 1.29910i
\(699\) 11.2453 + 47.6927i 0.425336 + 1.80390i
\(700\) −3.68039 + 6.37462i −0.139106 + 0.240938i
\(701\) −1.06508 −0.0402275 −0.0201138 0.999798i \(-0.506403\pi\)
−0.0201138 + 0.999798i \(0.506403\pi\)
\(702\) −8.85543 10.6279i −0.334227 0.401126i
\(703\) 13.9458 0.525978
\(704\) −50.3060 + 87.1326i −1.89598 + 3.28393i
\(705\) −3.18081 13.4902i −0.119796 0.508070i
\(706\) −6.04451 10.4694i −0.227488 0.394021i
\(707\) −10.6965 18.5269i −0.402284 0.696776i
\(708\) 83.3510 + 25.0584i 3.13252 + 0.941754i
\(709\) −6.24548 + 10.8175i −0.234554 + 0.406259i −0.959143 0.282922i \(-0.908696\pi\)
0.724589 + 0.689181i \(0.242030\pi\)
\(710\) 24.4887 0.919043
\(711\) 2.83721 46.8512i 0.106404 1.75706i
\(712\) 24.4034 0.914554
\(713\) 1.47697 2.55818i 0.0553128 0.0958046i
\(714\) 15.9707 15.0328i 0.597690 0.562590i
\(715\) 3.18217 + 5.51168i 0.119006 + 0.206125i
\(716\) 58.4360 + 101.214i 2.18386 + 3.78255i
\(717\) 0.583564 0.549294i 0.0217936 0.0205138i
\(718\) 10.1635 17.6037i 0.379298 0.656963i
\(719\) 53.4746 1.99426 0.997132 0.0756801i \(-0.0241128\pi\)
0.997132 + 0.0756801i \(0.0241128\pi\)
\(720\) 31.4308 15.6945i 1.17136 0.584899i
\(721\) 25.1228 0.935620
\(722\) 14.1341 24.4810i 0.526017 0.911088i
\(723\) −16.3196 4.90627i −0.606931 0.182466i
\(724\) 16.8375 + 29.1634i 0.625761 + 1.08385i
\(725\) 4.73987 + 8.20970i 0.176035 + 0.304901i
\(726\) 31.2235 + 132.423i 1.15881 + 4.91467i
\(727\) 2.58794 4.48244i 0.0959813 0.166245i −0.814036 0.580814i \(-0.802734\pi\)
0.910018 + 0.414569i \(0.136068\pi\)
\(728\) 11.8933 0.440795
\(729\) −4.87237 + 26.5567i −0.180458 + 0.983583i
\(730\) −25.4513 −0.941995
\(731\) 11.8525 20.5291i 0.438379 0.759295i
\(732\) 9.07779 + 38.5000i 0.335525 + 1.42300i
\(733\) 5.05375 + 8.75334i 0.186664 + 0.323312i 0.944136 0.329556i \(-0.106899\pi\)
−0.757472 + 0.652868i \(0.773566\pi\)
\(734\) 5.16148 + 8.93994i 0.190514 + 0.329979i
\(735\) −8.13922 2.44695i −0.300219 0.0902572i
\(736\) 9.04273 15.6625i 0.333320 0.577326i
\(737\) −20.7748 −0.765248
\(738\) −39.4360 + 19.6917i −1.45166 + 0.724863i
\(739\) 23.8634 0.877828 0.438914 0.898529i \(-0.355363\pi\)
0.438914 + 0.898529i \(0.355363\pi\)
\(740\) −12.2539 + 21.2244i −0.450462 + 0.780223i
\(741\) −3.65145 + 3.43701i −0.134139 + 0.126262i
\(742\) 1.20006 + 2.07856i 0.0440555 + 0.0763064i
\(743\) −24.2564 42.0133i −0.889881 1.54132i −0.840015 0.542563i \(-0.817454\pi\)
−0.0498662 0.998756i \(-0.515880\pi\)
\(744\) 24.9535 23.4880i 0.914838 0.861113i
\(745\) −7.09655 + 12.2916i −0.259997 + 0.450329i
\(746\) 34.6665 1.26923
\(747\) −0.190944 + 3.15308i −0.00698627 + 0.115365i
\(748\) 106.457 3.89246
\(749\) 0.624883 1.08233i 0.0228327 0.0395474i
\(750\) 4.41599 + 1.32761i 0.161249 + 0.0484775i
\(751\) −1.63079 2.82461i −0.0595084 0.103071i 0.834736 0.550650i \(-0.185620\pi\)
−0.894245 + 0.447578i \(0.852287\pi\)
\(752\) −46.8544 81.1541i −1.70860 2.95939i
\(753\) −6.54112 27.7417i −0.238372 1.01096i
\(754\) 12.6190 21.8567i 0.459556 0.795974i
\(755\) −18.6565 −0.678980
\(756\) −24.4837 29.3843i −0.890462 1.06870i
\(757\) 27.8497 1.01221 0.506107 0.862471i \(-0.331084\pi\)
0.506107 + 0.862471i \(0.331084\pi\)
\(758\) −12.3024 + 21.3083i −0.446842 + 0.773952i
\(759\) −3.10497 13.1685i −0.112703 0.477988i
\(760\) −11.9003 20.6119i −0.431668 0.747672i
\(761\) 0.782133 + 1.35469i 0.0283523 + 0.0491076i 0.879853 0.475245i \(-0.157641\pi\)
−0.851501 + 0.524353i \(0.824307\pi\)
\(762\) 30.6743 + 9.22184i 1.11121 + 0.334072i
\(763\) 6.09773 10.5616i 0.220753 0.382355i
\(764\) −90.0822 −3.25906
\(765\) −8.22790 5.43880i −0.297480 0.196640i
\(766\) −40.2671 −1.45491
\(767\) 4.93828 8.55336i 0.178311 0.308844i
\(768\) 2.48833 2.34220i 0.0897898 0.0845168i
\(769\) 14.9270 + 25.8543i 0.538280 + 0.932329i 0.998997 + 0.0447813i \(0.0142591\pi\)
−0.460717 + 0.887547i \(0.652408\pi\)
\(770\) 12.2566 + 21.2291i 0.441698 + 0.765043i
\(771\) −25.4853 + 23.9887i −0.917832 + 0.863931i
\(772\) −24.0323 + 41.6252i −0.864943 + 1.49812i
\(773\) −29.3989 −1.05741 −0.528703 0.848807i \(-0.677321\pi\)
−0.528703 + 0.848807i \(0.677321\pi\)
\(774\) −48.0406 31.7558i −1.72678 1.14144i
\(775\) 2.40673 0.0864525