Properties

Label 165.2.r.a.74.18
Level $165$
Weight $2$
Character 165.74
Analytic conductor $1.318$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(20\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 74.18
Character \(\chi\) \(=\) 165.74
Dual form 165.2.r.a.29.18

$q$-expansion

\(f(q)\) \(=\) \(q+(1.26516 + 1.74134i) q^{2} +(1.42080 + 0.990613i) q^{3} +(-0.813603 + 2.50401i) q^{4} +(-2.23554 - 0.0487905i) q^{5} +(0.0725479 + 3.72738i) q^{6} +(1.15619 - 3.55838i) q^{7} +(-1.29554 + 0.420945i) q^{8} +(1.03737 + 2.81493i) q^{9} +O(q^{10})\) \(q+(1.26516 + 1.74134i) q^{2} +(1.42080 + 0.990613i) q^{3} +(-0.813603 + 2.50401i) q^{4} +(-2.23554 - 0.0487905i) q^{5} +(0.0725479 + 3.72738i) q^{6} +(1.15619 - 3.55838i) q^{7} +(-1.29554 + 0.420945i) q^{8} +(1.03737 + 2.81493i) q^{9} +(-2.74334 - 3.95455i) q^{10} +(-2.90347 - 1.60308i) q^{11} +(-3.63648 + 2.75175i) q^{12} +(-2.36441 + 1.71784i) q^{13} +(7.65909 - 2.48859i) q^{14} +(-3.12793 - 2.28387i) q^{15} +(1.88802 + 1.37173i) q^{16} +(3.60354 - 4.95985i) q^{17} +(-3.58931 + 5.36775i) q^{18} +(-1.69505 + 0.550755i) q^{19} +(1.94101 - 5.55811i) q^{20} +(5.16769 - 3.91042i) q^{21} +(-0.881833 - 7.08407i) q^{22} -2.68103 q^{23} +(-2.25770 - 0.685294i) q^{24} +(4.99524 + 0.218146i) q^{25} +(-5.98268 - 1.94389i) q^{26} +(-1.31461 + 5.02711i) q^{27} +(7.96955 + 5.79021i) q^{28} +(-1.73641 + 5.34411i) q^{29} +(0.0196774 - 8.33623i) q^{30} +(-1.15665 + 0.840357i) q^{31} +7.74754i q^{32} +(-2.53723 - 5.15388i) q^{33} +13.1958 q^{34} +(-2.75831 + 7.89847i) q^{35} +(-7.89264 + 0.307354i) q^{36} +(-3.51577 - 1.14234i) q^{37} +(-3.10355 - 2.25486i) q^{38} +(-5.06107 + 0.0985063i) q^{39} +(2.91676 - 0.877829i) q^{40} +(0.0785467 + 0.241742i) q^{41} +(13.3473 + 4.05139i) q^{42} +8.64616 q^{43} +(6.37641 - 5.96605i) q^{44} +(-2.18174 - 6.34350i) q^{45} +(-3.39192 - 4.66857i) q^{46} +(-2.93342 - 9.02814i) q^{47} +(1.32366 + 3.81925i) q^{48} +(-5.66216 - 4.11380i) q^{49} +(5.93989 + 8.97439i) q^{50} +(10.0332 - 3.47726i) q^{51} +(-2.37781 - 7.31814i) q^{52} +(-4.45543 + 3.23706i) q^{53} +(-10.4171 + 4.07090i) q^{54} +(6.41259 + 3.72541i) q^{55} +5.09670i q^{56} +(-2.95392 - 0.896622i) q^{57} +(-11.5027 + 3.73746i) q^{58} +(0.0480847 + 0.0156237i) q^{59} +(8.26374 - 5.97421i) q^{60} +(1.70674 - 2.34913i) q^{61} +(-2.92669 - 0.950939i) q^{62} +(11.2160 - 0.436771i) q^{63} +(-9.71504 + 7.05839i) q^{64} +(5.36953 - 3.72494i) q^{65} +(5.76465 - 10.9386i) q^{66} +2.45040i q^{67} +(9.48767 + 13.0587i) q^{68} +(-3.80922 - 2.65586i) q^{69} +(-17.2436 + 5.18964i) q^{70} +(-0.490070 + 0.674523i) q^{71} +(-2.52889 - 3.21018i) q^{72} +(-1.79580 + 5.52690i) q^{73} +(-2.45879 - 7.56739i) q^{74} +(6.88116 + 5.25829i) q^{75} -4.69252i q^{76} +(-9.06132 + 8.47817i) q^{77} +(-6.57458 - 8.68841i) q^{78} +(-5.17618 - 7.12440i) q^{79} +(-4.15380 - 3.15866i) q^{80} +(-6.84772 + 5.84027i) q^{81} +(-0.321580 + 0.442617i) q^{82} +(-0.718410 + 0.988807i) q^{83} +(5.58731 + 16.1215i) q^{84} +(-8.29783 + 10.9121i) q^{85} +(10.9387 + 15.0559i) q^{86} +(-7.76104 + 5.87283i) q^{87} +(4.43636 + 0.854650i) q^{88} +1.49038i q^{89} +(8.28594 - 11.8247i) q^{90} +(3.37903 + 10.3996i) q^{91} +(2.18129 - 6.71333i) q^{92} +(-2.47584 + 0.0481886i) q^{93} +(12.0098 - 16.5301i) q^{94} +(3.81621 - 1.14853i) q^{95} +(-7.67481 + 11.0077i) q^{96} +(-4.47759 - 6.16287i) q^{97} -15.0643i q^{98} +(1.50059 - 9.83607i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{4} - 10 q^{6} - 10 q^{9} + O(q^{10}) \) \( 80 q + 4 q^{4} - 10 q^{6} - 10 q^{9} - 2 q^{15} - 60 q^{16} - 20 q^{19} - 30 q^{24} + 6 q^{25} + 10 q^{30} - 20 q^{31} - 56 q^{34} + 2 q^{36} - 50 q^{39} + 60 q^{40} - 92 q^{45} - 40 q^{46} + 72 q^{49} + 30 q^{51} + 4 q^{55} + 54 q^{60} + 96 q^{64} - 42 q^{66} + 30 q^{69} - 86 q^{70} + 2 q^{75} - 66 q^{81} + 140 q^{84} - 30 q^{85} + 120 q^{90} + 48 q^{91} + 60 q^{94} - 70 q^{96} + 60 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{3}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.26516 + 1.74134i 0.894600 + 1.23131i 0.972159 + 0.234324i \(0.0752876\pi\)
−0.0775584 + 0.996988i \(0.524712\pi\)
\(3\) 1.42080 + 0.990613i 0.820302 + 0.571931i
\(4\) −0.813603 + 2.50401i −0.406802 + 1.25201i
\(5\) −2.23554 0.0487905i −0.999762 0.0218198i
\(6\) 0.0725479 + 3.72738i 0.0296176 + 1.52170i
\(7\) 1.15619 3.55838i 0.436997 1.34494i −0.454028 0.890987i \(-0.650014\pi\)
0.891026 0.453953i \(-0.149986\pi\)
\(8\) −1.29554 + 0.420945i −0.458041 + 0.148827i
\(9\) 1.03737 + 2.81493i 0.345791 + 0.938312i
\(10\) −2.74334 3.95455i −0.867520 1.25054i
\(11\) −2.90347 1.60308i −0.875429 0.483347i
\(12\) −3.63648 + 2.75175i −1.04976 + 0.794361i
\(13\) −2.36441 + 1.71784i −0.655768 + 0.476443i −0.865231 0.501373i \(-0.832828\pi\)
0.209463 + 0.977817i \(0.432828\pi\)
\(14\) 7.65909 2.48859i 2.04698 0.665104i
\(15\) −3.12793 2.28387i −0.807627 0.589693i
\(16\) 1.88802 + 1.37173i 0.472004 + 0.342931i
\(17\) 3.60354 4.95985i 0.873987 1.20294i −0.104064 0.994571i \(-0.533185\pi\)
0.978050 0.208369i \(-0.0668154\pi\)
\(18\) −3.58931 + 5.36775i −0.846010 + 1.26519i
\(19\) −1.69505 + 0.550755i −0.388871 + 0.126352i −0.496926 0.867793i \(-0.665538\pi\)
0.108055 + 0.994145i \(0.465538\pi\)
\(20\) 1.94101 5.55811i 0.434023 1.24283i
\(21\) 5.16769 3.91042i 1.12768 0.853325i
\(22\) −0.881833 7.08407i −0.188007 1.51033i
\(23\) −2.68103 −0.559033 −0.279516 0.960141i \(-0.590174\pi\)
−0.279516 + 0.960141i \(0.590174\pi\)
\(24\) −2.25770 0.685294i −0.460851 0.139885i
\(25\) 4.99524 + 0.218146i 0.999048 + 0.0436292i
\(26\) −5.98268 1.94389i −1.17330 0.381229i
\(27\) −1.31461 + 5.02711i −0.252996 + 0.967467i
\(28\) 7.96955 + 5.79021i 1.50610 + 1.09425i
\(29\) −1.73641 + 5.34411i −0.322442 + 0.992376i 0.650139 + 0.759815i \(0.274711\pi\)
−0.972582 + 0.232561i \(0.925289\pi\)
\(30\) 0.0196774 8.33623i 0.00359258 1.52198i
\(31\) −1.15665 + 0.840357i −0.207741 + 0.150933i −0.686791 0.726855i \(-0.740981\pi\)
0.479050 + 0.877788i \(0.340981\pi\)
\(32\) 7.74754i 1.36958i
\(33\) −2.53723 5.15388i −0.441675 0.897175i
\(34\) 13.1958 2.26306
\(35\) −2.75831 + 7.89847i −0.466240 + 1.33508i
\(36\) −7.89264 + 0.307354i −1.31544 + 0.0512256i
\(37\) −3.51577 1.14234i −0.577990 0.187800i 0.00541019 0.999985i \(-0.498278\pi\)
−0.583400 + 0.812185i \(0.698278\pi\)
\(38\) −3.10355 2.25486i −0.503462 0.365787i
\(39\) −5.06107 + 0.0985063i −0.810421 + 0.0157736i
\(40\) 2.91676 0.877829i 0.461180 0.138797i
\(41\) 0.0785467 + 0.241742i 0.0122669 + 0.0377537i 0.957003 0.290079i \(-0.0936817\pi\)
−0.944736 + 0.327833i \(0.893682\pi\)
\(42\) 13.3473 + 4.05139i 2.05953 + 0.625144i
\(43\) 8.64616 1.31853 0.659264 0.751912i \(-0.270868\pi\)
0.659264 + 0.751912i \(0.270868\pi\)
\(44\) 6.37641 5.96605i 0.961280 0.899416i
\(45\) −2.18174 6.34350i −0.325235 0.945633i
\(46\) −3.39192 4.66857i −0.500111 0.688343i
\(47\) −2.93342 9.02814i −0.427883 1.31689i −0.900206 0.435464i \(-0.856584\pi\)
0.472323 0.881426i \(-0.343416\pi\)
\(48\) 1.32366 + 3.81925i 0.191053 + 0.551261i
\(49\) −5.66216 4.11380i −0.808880 0.587686i
\(50\) 5.93989 + 8.97439i 0.840027 + 1.26917i
\(51\) 10.0332 3.47726i 1.40493 0.486914i
\(52\) −2.37781 7.31814i −0.329743 1.01484i
\(53\) −4.45543 + 3.23706i −0.612001 + 0.444645i −0.850118 0.526592i \(-0.823470\pi\)
0.238117 + 0.971236i \(0.423470\pi\)
\(54\) −10.4171 + 4.07090i −1.41758 + 0.553979i
\(55\) 6.41259 + 3.72541i 0.864674 + 0.502334i
\(56\) 5.09670i 0.681075i
\(57\) −2.95392 0.896622i −0.391256 0.118760i
\(58\) −11.5027 + 3.73746i −1.51038 + 0.490753i
\(59\) 0.0480847 + 0.0156237i 0.00626009 + 0.00203403i 0.312145 0.950034i \(-0.398952\pi\)
−0.305885 + 0.952068i \(0.598952\pi\)
\(60\) 8.26374 5.97421i 1.06684 0.771267i
\(61\) 1.70674 2.34913i 0.218526 0.300776i −0.685653 0.727928i \(-0.740483\pi\)
0.904179 + 0.427153i \(0.140483\pi\)
\(62\) −2.92669 0.950939i −0.371690 0.120769i
\(63\) 11.2160 0.436771i 1.41308 0.0550279i
\(64\) −9.71504 + 7.05839i −1.21438 + 0.882299i
\(65\) 5.36953 3.72494i 0.666008 0.462021i
\(66\) 5.76465 10.9386i 0.709580 1.34645i
\(67\) 2.45040i 0.299364i 0.988734 + 0.149682i \(0.0478250\pi\)
−0.988734 + 0.149682i \(0.952175\pi\)
\(68\) 9.48767 + 13.0587i 1.15055 + 1.58359i
\(69\) −3.80922 2.65586i −0.458576 0.319728i
\(70\) −17.2436 + 5.18964i −2.06100 + 0.620281i
\(71\) −0.490070 + 0.674523i −0.0581606 + 0.0800512i −0.837107 0.547040i \(-0.815755\pi\)
0.778946 + 0.627091i \(0.215755\pi\)
\(72\) −2.52889 3.21018i −0.298032 0.378323i
\(73\) −1.79580 + 5.52690i −0.210182 + 0.646875i 0.789278 + 0.614036i \(0.210455\pi\)
−0.999461 + 0.0328393i \(0.989545\pi\)
\(74\) −2.45879 7.56739i −0.285829 0.879691i
\(75\) 6.88116 + 5.25829i 0.794568 + 0.607175i
\(76\) 4.69252i 0.538269i
\(77\) −9.06132 + 8.47817i −1.03263 + 0.966177i
\(78\) −6.57458 8.68841i −0.744425 0.983769i
\(79\) −5.17618 7.12440i −0.582366 0.801558i 0.411586 0.911371i \(-0.364975\pi\)
−0.993952 + 0.109813i \(0.964975\pi\)
\(80\) −4.15380 3.15866i −0.464409 0.353149i
\(81\) −6.84772 + 5.84027i −0.760858 + 0.648919i
\(82\) −0.321580 + 0.442617i −0.0355126 + 0.0488789i
\(83\) −0.718410 + 0.988807i −0.0788557 + 0.108536i −0.846623 0.532194i \(-0.821368\pi\)
0.767767 + 0.640729i \(0.221368\pi\)
\(84\) 5.58731 + 16.1215i 0.609625 + 1.75900i
\(85\) −8.29783 + 10.9121i −0.900026 + 1.18358i
\(86\) 10.9387 + 15.0559i 1.17956 + 1.62352i
\(87\) −7.76104 + 5.87283i −0.832070 + 0.629633i
\(88\) 4.43636 + 0.854650i 0.472918 + 0.0911060i
\(89\) 1.49038i 0.157980i 0.996875 + 0.0789901i \(0.0251695\pi\)
−0.996875 + 0.0789901i \(0.974830\pi\)
\(90\) 8.28594 11.8247i 0.873414 1.24643i
\(91\) 3.37903 + 10.3996i 0.354219 + 1.09017i
\(92\) 2.18129 6.71333i 0.227415 0.699913i
\(93\) −2.47584 + 0.0481886i −0.256733 + 0.00499693i
\(94\) 12.0098 16.5301i 1.23872 1.70495i
\(95\) 3.81621 1.14853i 0.391535 0.117837i
\(96\) −7.67481 + 11.0077i −0.783307 + 1.12347i
\(97\) −4.47759 6.16287i −0.454630 0.625745i 0.518754 0.854924i \(-0.326396\pi\)
−0.973384 + 0.229179i \(0.926396\pi\)
\(98\) 15.0643i 1.52173i
\(99\) 1.50059 9.83607i 0.150815 0.988562i
\(100\) −4.61038 + 12.3307i −0.461038 + 1.23307i
\(101\) 8.50114 6.17644i 0.845895 0.614579i −0.0781161 0.996944i \(-0.524890\pi\)
0.924011 + 0.382366i \(0.124890\pi\)
\(102\) 18.7487 + 13.0719i 1.85639 + 1.29431i
\(103\) −3.92066 1.27390i −0.386314 0.125521i 0.109420 0.993996i \(-0.465101\pi\)
−0.495734 + 0.868475i \(0.665101\pi\)
\(104\) 2.34006 3.22081i 0.229462 0.315827i
\(105\) −11.7433 + 8.48976i −1.14603 + 0.828516i
\(106\) −11.2736 3.66303i −1.09499 0.355785i
\(107\) 2.15093 0.698881i 0.207939 0.0675634i −0.203196 0.979138i \(-0.565133\pi\)
0.411134 + 0.911575i \(0.365133\pi\)
\(108\) −11.5184 7.38187i −1.10836 0.710320i
\(109\) 13.9966i 1.34063i 0.742076 + 0.670315i \(0.233841\pi\)
−0.742076 + 0.670315i \(0.766159\pi\)
\(110\) 1.62573 + 15.8797i 0.155008 + 1.51407i
\(111\) −3.86361 5.10582i −0.366717 0.484623i
\(112\) 7.06402 5.13231i 0.667487 0.484957i
\(113\) 0.501772 + 1.54430i 0.0472028 + 0.145275i 0.971880 0.235477i \(-0.0756652\pi\)
−0.924677 + 0.380752i \(0.875665\pi\)
\(114\) −2.17584 6.27813i −0.203786 0.588001i
\(115\) 5.99353 + 0.130809i 0.558900 + 0.0121980i
\(116\) −11.9690 8.69597i −1.11129 0.807400i
\(117\) −7.28838 4.87361i −0.673811 0.450565i
\(118\) 0.0336285 + 0.103498i 0.00309576 + 0.00952776i
\(119\) −13.4826 18.5573i −1.23595 1.70114i
\(120\) 5.01373 + 1.64215i 0.457689 + 0.149907i
\(121\) 5.86026 + 9.30899i 0.532751 + 0.846272i
\(122\) 6.24993 0.565842
\(123\) −0.127873 + 0.421277i −0.0115299 + 0.0379853i
\(124\) −1.16321 3.57999i −0.104459 0.321492i
\(125\) −11.1564 0.731393i −0.997858 0.0654178i
\(126\) 14.9505 + 18.9782i 1.33190 + 1.69072i
\(127\) 16.3861 + 11.9052i 1.45403 + 1.05641i 0.984869 + 0.173302i \(0.0554438\pi\)
0.469161 + 0.883112i \(0.344556\pi\)
\(128\) −9.84539 3.19896i −0.870218 0.282751i
\(129\) 12.2845 + 8.56500i 1.08159 + 0.754106i
\(130\) 13.2797 + 4.63754i 1.16470 + 0.406739i
\(131\) 11.4641 1.00163 0.500813 0.865556i \(-0.333034\pi\)
0.500813 + 0.865556i \(0.333034\pi\)
\(132\) 14.9697 2.16004i 1.30294 0.188007i
\(133\) 6.66839i 0.578223i
\(134\) −4.26698 + 3.10014i −0.368611 + 0.267811i
\(135\) 3.18413 11.1741i 0.274046 0.961717i
\(136\) −2.58069 + 7.94256i −0.221293 + 0.681069i
\(137\) 14.9880 + 10.8894i 1.28051 + 0.930347i 0.999568 0.0293772i \(-0.00935241\pi\)
0.280944 + 0.959724i \(0.409352\pi\)
\(138\) −0.194503 9.99321i −0.0165572 0.850678i
\(139\) 7.52360 + 2.44457i 0.638143 + 0.207345i 0.610179 0.792264i \(-0.291098\pi\)
0.0279644 + 0.999609i \(0.491098\pi\)
\(140\) −17.5337 13.3331i −1.48187 1.12685i
\(141\) 4.77557 15.7331i 0.402176 1.32497i
\(142\) −1.79459 −0.150598
\(143\) 9.61882 1.19736i 0.804366 0.100128i
\(144\) −1.90274 + 6.73764i −0.158562 + 0.561470i
\(145\) 4.14254 11.8622i 0.344019 0.985104i
\(146\) −11.8962 + 3.86530i −0.984534 + 0.319894i
\(147\) −3.96964 11.4539i −0.327410 0.944703i
\(148\) 5.72089 7.87413i 0.470254 0.647249i
\(149\) 5.44385 + 3.95519i 0.445978 + 0.324022i 0.788006 0.615668i \(-0.211114\pi\)
−0.342028 + 0.939690i \(0.611114\pi\)
\(150\) −0.450719 + 18.6350i −0.0368010 + 1.52154i
\(151\) 5.06380 1.64533i 0.412086 0.133895i −0.0956350 0.995416i \(-0.530488\pi\)
0.507721 + 0.861522i \(0.330488\pi\)
\(152\) 1.96416 1.42705i 0.159314 0.115749i
\(153\) 17.6999 + 4.99852i 1.43095 + 0.404107i
\(154\) −26.2273 5.05261i −2.11346 0.407151i
\(155\) 2.62674 1.82221i 0.210985 0.146364i
\(156\) 3.87105 12.7531i 0.309932 1.02107i
\(157\) −8.71622 + 2.83207i −0.695630 + 0.226024i −0.635426 0.772162i \(-0.719175\pi\)
−0.0602045 + 0.998186i \(0.519175\pi\)
\(158\) 5.85731 18.0270i 0.465983 1.43415i
\(159\) −9.53698 + 0.185623i −0.756332 + 0.0147209i
\(160\) 0.378006 17.3199i 0.0298840 1.36926i
\(161\) −3.09977 + 9.54010i −0.244296 + 0.751865i
\(162\) −18.8333 4.53534i −1.47968 0.356330i
\(163\) −13.6145 18.7387i −1.06637 1.46773i −0.873700 0.486465i \(-0.838286\pi\)
−0.192668 0.981264i \(-0.561714\pi\)
\(164\) −0.669231 −0.0522581
\(165\) 5.42060 + 11.6455i 0.421993 + 0.906599i
\(166\) −2.63075 −0.204186
\(167\) −8.67860 11.9451i −0.671570 0.924337i 0.328225 0.944600i \(-0.393550\pi\)
−0.999795 + 0.0202628i \(0.993550\pi\)
\(168\) −5.04886 + 7.24142i −0.389528 + 0.558687i
\(169\) −1.37779 + 4.24039i −0.105983 + 0.326184i
\(170\) −29.4997 0.643830i −2.26252 0.0493795i
\(171\) −3.30873 4.20011i −0.253025 0.321191i
\(172\) −7.03455 + 21.6501i −0.536379 + 1.65081i
\(173\) −0.743915 + 0.241713i −0.0565588 + 0.0183771i −0.337160 0.941447i \(-0.609466\pi\)
0.280601 + 0.959825i \(0.409466\pi\)
\(174\) −20.0455 6.08454i −1.51964 0.461268i
\(175\) 6.55167 17.5227i 0.495260 1.32459i
\(176\) −3.28281 7.00941i −0.247451 0.528354i
\(177\) 0.0528419 + 0.0698314i 0.00397184 + 0.00524885i
\(178\) −2.59526 + 1.88557i −0.194523 + 0.141329i
\(179\) 16.7470 5.44143i 1.25173 0.406711i 0.393189 0.919458i \(-0.371372\pi\)
0.858540 + 0.512746i \(0.171372\pi\)
\(180\) 17.6593 0.302014i 1.31625 0.0225108i
\(181\) −18.7514 13.6237i −1.39378 1.01264i −0.995439 0.0954051i \(-0.969585\pi\)
−0.398343 0.917236i \(-0.630415\pi\)
\(182\) −13.8342 + 19.0411i −1.02546 + 1.41142i
\(183\) 4.75203 1.64694i 0.351280 0.121745i
\(184\) 3.47337 1.12857i 0.256060 0.0831990i
\(185\) 7.80390 + 2.72529i 0.573754 + 0.200367i
\(186\) −3.21624 4.25031i −0.235826 0.311648i
\(187\) −18.4138 + 8.62399i −1.34655 + 0.630648i
\(188\) 24.9932 1.82282
\(189\) 16.3684 + 10.4901i 1.19063 + 0.763046i
\(190\) 6.82808 + 5.19224i 0.495361 + 0.376685i
\(191\) 11.7130 + 3.80577i 0.847519 + 0.275376i 0.700407 0.713744i \(-0.253002\pi\)
0.147113 + 0.989120i \(0.453002\pi\)
\(192\) −20.7953 + 0.404750i −1.50077 + 0.0292103i
\(193\) −14.3079 10.3953i −1.02991 0.748272i −0.0616173 0.998100i \(-0.519626\pi\)
−0.968290 + 0.249828i \(0.919626\pi\)
\(194\) 5.06679 15.5940i 0.363775 1.11958i
\(195\) 11.3190 + 0.0267182i 0.810572 + 0.00191333i
\(196\) 14.9078 10.8311i 1.06484 0.773651i
\(197\) 10.8770i 0.774956i −0.921879 0.387478i \(-0.873346\pi\)
0.921879 0.387478i \(-0.126654\pi\)
\(198\) 19.0264 9.83112i 1.35215 0.698667i
\(199\) 26.0901 1.84948 0.924739 0.380602i \(-0.124283\pi\)
0.924739 + 0.380602i \(0.124283\pi\)
\(200\) −6.56334 + 1.82011i −0.464099 + 0.128701i
\(201\) −2.42740 + 3.48154i −0.171216 + 0.245569i
\(202\) 21.5105 + 6.98920i 1.51348 + 0.491758i
\(203\) 17.0087 + 12.3576i 1.19378 + 0.867332i
\(204\) 0.544052 + 27.9524i 0.0380913 + 1.95706i
\(205\) −0.163799 0.544255i −0.0114402 0.0380124i
\(206\) −2.74196 8.43887i −0.191041 0.587964i
\(207\) −2.78122 7.54692i −0.193308 0.524547i
\(208\) −6.82045 −0.472913
\(209\) 5.80442 + 1.11820i 0.401500 + 0.0773477i
\(210\) −29.6407 9.70826i −2.04540 0.669933i
\(211\) 10.0687 + 13.8584i 0.693161 + 0.954055i 0.999997 + 0.00229222i \(0.000729636\pi\)
−0.306836 + 0.951762i \(0.599270\pi\)
\(212\) −4.48069 13.7902i −0.307735 0.947111i
\(213\) −1.36449 + 0.472896i −0.0934930 + 0.0324023i
\(214\) 3.93826 + 2.86131i 0.269214 + 0.195595i
\(215\) −19.3288 0.421851i −1.31821 0.0287700i
\(216\) −0.413015 7.06618i −0.0281021 0.480793i
\(217\) 1.65300 + 5.08741i 0.112213 + 0.345356i
\(218\) −24.3728 + 17.7079i −1.65073 + 1.19933i
\(219\) −8.02650 + 6.07371i −0.542381 + 0.410423i
\(220\) −14.5458 + 13.0262i −0.980676 + 0.878227i
\(221\) 17.9174i 1.20525i
\(222\) 4.00289 13.1875i 0.268656 0.885087i
\(223\) 12.6327 4.10463i 0.845951 0.274866i 0.146202 0.989255i \(-0.453295\pi\)
0.699749 + 0.714389i \(0.253295\pi\)
\(224\) 27.5687 + 8.95760i 1.84201 + 0.598505i
\(225\) 4.56786 + 14.2876i 0.304524 + 0.952505i
\(226\) −2.05432 + 2.82753i −0.136651 + 0.188085i
\(227\) 2.36556 + 0.768619i 0.157008 + 0.0510150i 0.386466 0.922303i \(-0.373695\pi\)
−0.229458 + 0.973318i \(0.573695\pi\)
\(228\) 4.64847 6.66715i 0.307852 0.441543i
\(229\) −9.81334 + 7.12981i −0.648484 + 0.471151i −0.862754 0.505623i \(-0.831263\pi\)
0.214270 + 0.976774i \(0.431263\pi\)
\(230\) 7.35497 + 10.6023i 0.484972 + 0.699092i
\(231\) −21.2730 + 3.06957i −1.39966 + 0.201963i
\(232\) 7.65442i 0.502537i
\(233\) −3.30584 4.55009i −0.216572 0.298086i 0.686883 0.726768i \(-0.258978\pi\)
−0.903456 + 0.428681i \(0.858978\pi\)
\(234\) −0.734341 18.8574i −0.0480054 1.23275i
\(235\) 6.11728 + 20.3258i 0.399047 + 1.32591i
\(236\) −0.0782437 + 0.107693i −0.00509323 + 0.00701023i
\(237\) −0.296818 15.2500i −0.0192804 0.990592i
\(238\) 15.2568 46.9556i 0.988952 3.04368i
\(239\) 4.41810 + 13.5975i 0.285783 + 0.879551i 0.986163 + 0.165780i \(0.0530142\pi\)
−0.700379 + 0.713771i \(0.746986\pi\)
\(240\) −2.77274 8.60265i −0.178979 0.555298i
\(241\) 12.5806i 0.810390i −0.914230 0.405195i \(-0.867204\pi\)
0.914230 0.405195i \(-0.132796\pi\)
\(242\) −8.79596 + 21.9820i −0.565426 + 1.41306i
\(243\) −15.5147 + 1.51445i −0.995270 + 0.0971518i
\(244\) 4.49365 + 6.18497i 0.287676 + 0.395952i
\(245\) 12.4572 + 9.47280i 0.795864 + 0.605195i
\(246\) −0.895365 + 0.310311i −0.0570864 + 0.0197847i
\(247\) 3.06167 4.21403i 0.194810 0.268132i
\(248\) 1.14474 1.57560i 0.0726911 0.100051i
\(249\) −2.00024 + 0.693235i −0.126760 + 0.0439320i
\(250\) −12.8410 20.3524i −0.812134 1.28720i
\(251\) −2.90618 4.00001i −0.183436 0.252478i 0.707389 0.706824i \(-0.249873\pi\)
−0.890825 + 0.454346i \(0.849873\pi\)
\(252\) −8.03169 + 28.4404i −0.505949 + 1.79157i
\(253\) 7.78428 + 4.29791i 0.489393 + 0.270207i
\(254\) 43.5956i 2.73543i
\(255\) −22.5993 + 7.28401i −1.41522 + 0.456143i
\(256\) 0.536150 + 1.65010i 0.0335094 + 0.103131i
\(257\) −2.80157 + 8.62234i −0.174757 + 0.537847i −0.999622 0.0274825i \(-0.991251\pi\)
0.824865 + 0.565329i \(0.191251\pi\)
\(258\) 0.627261 + 32.2275i 0.0390516 + 2.00640i
\(259\) −8.12978 + 11.1897i −0.505160 + 0.695293i
\(260\) 4.95862 + 16.4760i 0.307521 + 1.02180i
\(261\) −16.8446 + 0.655959i −1.04266 + 0.0406029i
\(262\) 14.5039 + 19.9629i 0.896055 + 1.23331i
\(263\) 7.36321i 0.454035i −0.973891 0.227017i \(-0.927103\pi\)
0.973891 0.227017i \(-0.0728974\pi\)
\(264\) 5.45657 + 5.60901i 0.335829 + 0.345210i
\(265\) 10.1182 7.01919i 0.621557 0.431185i
\(266\) −11.6119 + 8.43656i −0.711973 + 0.517279i
\(267\) −1.47639 + 2.11754i −0.0903537 + 0.129591i
\(268\) −6.13584 1.99366i −0.374806 0.121782i
\(269\) 15.0348 20.6936i 0.916686 1.26171i −0.0481459 0.998840i \(-0.515331\pi\)
0.964831 0.262869i \(-0.0846688\pi\)
\(270\) 23.4864 8.59238i 1.42933 0.522916i
\(271\) −5.91321 1.92132i −0.359202 0.116712i 0.123856 0.992300i \(-0.460474\pi\)
−0.483058 + 0.875588i \(0.660474\pi\)
\(272\) 13.6071 4.42121i 0.825051 0.268075i
\(273\) −5.50102 + 18.1231i −0.332937 + 1.09686i
\(274\) 39.8760i 2.40900i
\(275\) −14.1538 8.64116i −0.853507 0.521081i
\(276\) 9.74950 7.37751i 0.586851 0.444074i
\(277\) 10.9695 7.96979i 0.659091 0.478858i −0.207265 0.978285i \(-0.566456\pi\)
0.866356 + 0.499427i \(0.166456\pi\)
\(278\) 5.26171 + 16.1939i 0.315576 + 0.971245i
\(279\) −3.56543 2.38414i −0.213457 0.142735i
\(280\) 0.248671 11.3939i 0.0148609 0.680913i
\(281\) −9.35985 6.80033i −0.558362 0.405674i 0.272497 0.962157i \(-0.412150\pi\)
−0.830859 + 0.556483i \(0.812150\pi\)
\(282\) 33.4385 11.5889i 1.99123 0.690112i
\(283\) −2.18516 6.72524i −0.129894 0.399774i 0.864867 0.502002i \(-0.167403\pi\)
−0.994761 + 0.102228i \(0.967403\pi\)
\(284\) −1.29029 1.77594i −0.0765648 0.105382i
\(285\) 6.55984 + 2.14855i 0.388571 + 0.127269i
\(286\) 14.2543 + 15.2348i 0.842875 + 0.900850i
\(287\) 0.951023 0.0561371
\(288\) −21.8088 + 8.03708i −1.28510 + 0.473590i
\(289\) −6.36129 19.5780i −0.374194 1.15165i
\(290\) 25.8971 7.79400i 1.52073 0.457680i
\(291\) −0.256759 13.1918i −0.0150515 0.773317i
\(292\) −12.3784 8.99341i −0.724389 0.526300i
\(293\) −23.3787 7.59620i −1.36580 0.443775i −0.467823 0.883822i \(-0.654962\pi\)
−0.897974 + 0.440048i \(0.854962\pi\)
\(294\) 14.9229 21.4035i 0.870322 1.24828i
\(295\) −0.106733 0.0372733i −0.00621422 0.00217014i
\(296\) 5.03568 0.292693
\(297\) 11.8758 12.4886i 0.689103 0.724663i
\(298\) 14.4835i 0.839008i
\(299\) 6.33904 4.60558i 0.366596 0.266348i
\(300\) −18.7654 + 12.9524i −1.08342 + 0.747805i
\(301\) 9.99658 30.7663i 0.576193 1.77334i
\(302\) 9.27156 + 6.73618i 0.533518 + 0.387624i
\(303\) 18.1969 0.354176i 1.04539 0.0203469i
\(304\) −3.95576 1.28531i −0.226879 0.0737173i
\(305\) −3.93010 + 5.16830i −0.225037 + 0.295936i
\(306\) 13.6890 + 37.1453i 0.782546 + 2.12346i
\(307\) 4.60472 0.262805 0.131403 0.991329i \(-0.458052\pi\)
0.131403 + 0.991329i \(0.458052\pi\)
\(308\) −13.8571 29.5875i −0.789584 1.68591i
\(309\) −4.30855 5.69382i −0.245105 0.323910i
\(310\) 6.49632 + 2.26865i 0.368966 + 0.128851i
\(311\) −19.4975 + 6.33511i −1.10560 + 0.359231i −0.804255 0.594284i \(-0.797436\pi\)
−0.301345 + 0.953515i \(0.597436\pi\)
\(312\) 6.51534 2.25806i 0.368859 0.127837i
\(313\) −16.5721 + 22.8096i −0.936712 + 1.28927i 0.0204718 + 0.999790i \(0.493483\pi\)
−0.957183 + 0.289482i \(0.906517\pi\)
\(314\) −15.9590 11.5949i −0.900617 0.654336i
\(315\) −25.0951 + 0.429182i −1.41395 + 0.0241817i
\(316\) 22.0510 7.16479i 1.24046 0.403051i
\(317\) −9.41776 + 6.84240i −0.528954 + 0.384308i −0.819966 0.572412i \(-0.806008\pi\)
0.291012 + 0.956719i \(0.406008\pi\)
\(318\) −12.3890 16.3723i −0.694740 0.918111i
\(319\) 13.6086 12.7328i 0.761938 0.712903i
\(320\) 22.0627 15.3053i 1.23334 0.855591i
\(321\) 3.74838 + 1.13777i 0.209214 + 0.0635041i
\(322\) −20.5342 + 6.67198i −1.14433 + 0.371815i
\(323\) −3.37651 + 10.3918i −0.187874 + 0.578218i
\(324\) −9.05279 21.8984i −0.502933 1.21658i
\(325\) −12.1855 + 8.06524i −0.675931 + 0.447379i
\(326\) 15.4060 47.4148i 0.853259 2.62606i
\(327\) −13.8652 + 19.8864i −0.766748 + 1.09972i
\(328\) −0.203520 0.280122i −0.0112375 0.0154671i
\(329\) −35.5171 −1.95812
\(330\) −13.4208 + 24.1724i −0.738790 + 1.33065i
\(331\) −27.3073 −1.50095 −0.750473 0.660901i \(-0.770174\pi\)
−0.750473 + 0.660901i \(0.770174\pi\)
\(332\) −1.89148 2.60340i −0.103809 0.142880i
\(333\) −0.431541 11.0817i −0.0236483 0.607274i
\(334\) 9.82061 30.2247i 0.537360 1.65382i
\(335\) 0.119556 5.47796i 0.00653206 0.299293i
\(336\) 15.1207 0.294302i 0.824903 0.0160555i
\(337\) −4.52795 + 13.9356i −0.246653 + 0.759121i 0.748707 + 0.662901i \(0.230675\pi\)
−0.995360 + 0.0962195i \(0.969325\pi\)
\(338\) −9.12706 + 2.96556i −0.496446 + 0.161305i
\(339\) −0.816880 + 2.69121i −0.0443668 + 0.146166i
\(340\) −20.5729 29.6560i −1.11572 1.60832i
\(341\) 4.70546 0.585742i 0.254815 0.0317197i
\(342\) 3.12775 11.0754i 0.169129 0.598890i
\(343\) 0.00359571 0.00261244i 0.000194150 0.000141058i
\(344\) −11.2014 + 3.63956i −0.603940 + 0.196232i
\(345\) 8.38606 + 6.12312i 0.451490 + 0.329658i
\(346\) −1.36207 0.989602i −0.0732254 0.0532014i
\(347\) 5.35219 7.36665i 0.287321 0.395463i −0.640821 0.767690i \(-0.721406\pi\)
0.928141 + 0.372228i \(0.121406\pi\)
\(348\) −8.39123 24.2119i −0.449817 1.29789i
\(349\) 9.20764 2.99174i 0.492874 0.160144i −0.0520257 0.998646i \(-0.516568\pi\)
0.544900 + 0.838501i \(0.316568\pi\)
\(350\) 38.8019 10.7603i 2.07405 0.575162i
\(351\) −5.52751 14.1444i −0.295036 0.754973i
\(352\) 12.4199 22.4947i 0.661985 1.19897i
\(353\) 12.1628 0.647361 0.323680 0.946166i \(-0.395080\pi\)
0.323680 + 0.946166i \(0.395080\pi\)
\(354\) −0.0547468 + 0.180363i −0.00290976 + 0.00958620i
\(355\) 1.12848 1.48401i 0.0598935 0.0787631i
\(356\) −3.73194 1.21258i −0.197792 0.0642666i
\(357\) −0.773136 39.7223i −0.0409187 2.10233i
\(358\) 30.6629 + 22.2779i 1.62059 + 1.17742i
\(359\) −3.55028 + 10.9266i −0.187377 + 0.576686i −0.999981 0.00612922i \(-0.998049\pi\)
0.812604 + 0.582816i \(0.198049\pi\)
\(360\) 5.49679 + 7.29985i 0.289706 + 0.384736i
\(361\) −12.8015 + 9.30081i −0.673761 + 0.489516i
\(362\) 49.8886i 2.62209i
\(363\) −0.895329 + 19.0315i −0.0469926 + 0.998895i
\(364\) −28.7899 −1.50900
\(365\) 4.28423 12.2680i 0.224247 0.642135i
\(366\) 8.87993 + 6.19126i 0.464161 + 0.323622i
\(367\) −0.551086 0.179059i −0.0287665 0.00934679i 0.294598 0.955621i \(-0.404814\pi\)
−0.323365 + 0.946274i \(0.604814\pi\)
\(368\) −5.06183 3.67763i −0.263866 0.191710i
\(369\) −0.599005 + 0.471880i −0.0311830 + 0.0245651i
\(370\) 5.12751 + 17.0371i 0.266566 + 0.885719i
\(371\) 6.36737 + 19.5968i 0.330578 + 1.01741i
\(372\) 1.89369 6.23875i 0.0981832 0.323464i
\(373\) −18.7673 −0.971735 −0.485867 0.874032i \(-0.661496\pi\)
−0.485867 + 0.874032i \(0.661496\pi\)
\(374\) −38.3136 21.1540i −1.98115 1.09384i
\(375\) −15.1265 12.0908i −0.781130 0.624368i
\(376\) 7.60071 + 10.4615i 0.391977 + 0.539509i
\(377\) −5.07476 15.6185i −0.261364 0.804394i
\(378\) 2.44171 + 41.7746i 0.125588 + 2.14865i
\(379\) 3.28240 + 2.38480i 0.168606 + 0.122499i 0.668888 0.743363i \(-0.266771\pi\)
−0.500283 + 0.865862i \(0.666771\pi\)
\(380\) −0.228950 + 10.4903i −0.0117449 + 0.538141i
\(381\) 11.4880 + 33.1472i 0.588548 + 1.69818i
\(382\) 8.19158 + 25.2111i 0.419118 + 1.28991i
\(383\) 22.8848 16.6268i 1.16936 0.849590i 0.178428 0.983953i \(-0.442899\pi\)
0.990932 + 0.134363i \(0.0428988\pi\)
\(384\) −10.8194 14.2981i −0.552128 0.729645i
\(385\) 20.6706 18.5111i 1.05347 0.943416i
\(386\) 38.0666i 1.93754i
\(387\) 8.96929 + 24.3384i 0.455935 + 1.23719i
\(388\) 19.0749 6.19781i 0.968381 0.314646i
\(389\) −37.3298 12.1292i −1.89270 0.614975i −0.977058 0.212973i \(-0.931685\pi\)
−0.915639 0.402001i \(-0.868315\pi\)
\(390\) 14.2738 + 19.7440i 0.722782 + 0.999778i
\(391\) −9.66119 + 13.2975i −0.488587 + 0.672483i
\(392\) 9.06722 + 2.94612i 0.457964 + 0.148801i
\(393\) 16.2883 + 11.3565i 0.821636 + 0.572860i
\(394\) 18.9406 13.7611i 0.954212 0.693276i
\(395\) 11.2239 + 16.1794i 0.564737 + 0.814074i
\(396\) 23.4088 + 11.7602i 1.17633 + 0.590970i
\(397\) 5.73171i 0.287666i 0.989602 + 0.143833i \(0.0459429\pi\)
−0.989602 + 0.143833i \(0.954057\pi\)
\(398\) 33.0080 + 45.4317i 1.65454 + 2.27728i
\(399\) −6.60580 + 9.47449i −0.330704 + 0.474318i
\(400\) 9.13186 + 7.26396i 0.456593 + 0.363198i
\(401\) −14.9545 + 20.5831i −0.746790 + 1.02787i 0.251409 + 0.967881i \(0.419106\pi\)
−0.998199 + 0.0599878i \(0.980894\pi\)
\(402\) −9.13358 + 0.177772i −0.455542 + 0.00886644i
\(403\) 1.29119 3.97389i 0.0643190 0.197953i
\(404\) 8.54933 + 26.3121i 0.425345 + 1.30908i
\(405\) 15.5933 12.7220i 0.774836 0.632163i
\(406\) 45.2522i 2.24583i
\(407\) 8.37667 + 8.95283i 0.415216 + 0.443775i
\(408\) −11.5347 + 8.72836i −0.571051 + 0.432118i
\(409\) −11.7190 16.1298i −0.579466 0.797566i 0.414171 0.910199i \(-0.364072\pi\)
−0.993637 + 0.112633i \(0.964072\pi\)
\(410\) 0.740500 0.973797i 0.0365707 0.0480924i
\(411\) 10.5078 + 30.3191i 0.518313 + 1.49553i
\(412\) 6.37972 8.78093i 0.314306 0.432605i
\(413\) 0.111190 0.153039i 0.00547129 0.00753058i
\(414\) 9.62305 14.3911i 0.472947 0.707283i
\(415\) 1.65428 2.17546i 0.0812052 0.106789i
\(416\) −13.3090 18.3183i −0.652529 0.898130i
\(417\) 8.26795 + 10.9262i 0.404883 + 0.535060i
\(418\) 5.39633 + 11.5222i 0.263943 + 0.563567i
\(419\) 19.4764i 0.951485i −0.879585 0.475742i \(-0.842179\pi\)
0.879585 0.475742i \(-0.157821\pi\)
\(420\) −11.7040 36.3128i −0.571099 1.77188i
\(421\) 1.31040 + 4.03300i 0.0638650 + 0.196556i 0.977898 0.209084i \(-0.0670484\pi\)
−0.914033 + 0.405641i \(0.867048\pi\)
\(422\) −11.3937 + 35.0662i −0.554636 + 1.70699i
\(423\) 22.3706 17.6229i 1.08769 0.856856i
\(424\) 4.40955 6.06923i 0.214147 0.294748i
\(425\) 19.0825 23.9895i 0.925638 1.16366i
\(426\) −2.54976 1.77774i −0.123536 0.0861319i
\(427\) −6.38578 8.78928i −0.309030 0.425343i
\(428\) 5.95458i 0.287826i
\(429\) 14.8526 + 7.82731i 0.717090 + 0.377906i
\(430\) −23.7194 34.1917i −1.14385 1.64887i
\(431\) −20.9898 + 15.2500i −1.01104 + 0.734567i −0.964428 0.264346i \(-0.914844\pi\)
−0.0466170 + 0.998913i \(0.514844\pi\)
\(432\) −9.37781 + 7.68799i −0.451190 + 0.369888i
\(433\) −2.14388 0.696587i −0.103028 0.0334758i 0.257049 0.966398i \(-0.417250\pi\)
−0.360077 + 0.932922i \(0.617250\pi\)
\(434\) −6.76760 + 9.31480i −0.324855 + 0.447125i
\(435\) 17.6366 12.7503i 0.845611 0.611328i
\(436\) −35.0477 11.3877i −1.67848 0.545371i
\(437\) 4.54447 1.47659i 0.217391 0.0706348i
\(438\) −20.7311 6.29266i −0.990573 0.300675i
\(439\) 6.34927i 0.303034i −0.988455 0.151517i \(-0.951584\pi\)
0.988455 0.151517i \(-0.0484159\pi\)
\(440\) −9.87594 2.12705i −0.470817 0.101403i
\(441\) 5.70631 20.2061i 0.271729 0.962197i
\(442\) −31.2002 + 22.6683i −1.48404 + 1.07822i
\(443\) 2.52406 + 7.76825i 0.119922 + 0.369081i 0.992942 0.118604i \(-0.0378417\pi\)
−0.873020 + 0.487684i \(0.837842\pi\)
\(444\) 15.9285 5.52041i 0.755932 0.261987i
\(445\) 0.0727165 3.33180i 0.00344709 0.157943i
\(446\) 23.1299 + 16.8049i 1.09523 + 0.795734i
\(447\) 3.81659 + 11.0123i 0.180518 + 0.520864i
\(448\) 13.8840 + 42.7306i 0.655958 + 2.01883i
\(449\) 16.2063 + 22.3060i 0.764821 + 1.05269i 0.996798 + 0.0799647i \(0.0254808\pi\)
−0.231976 + 0.972721i \(0.574519\pi\)
\(450\) −19.1004 + 26.0302i −0.900403 + 1.22707i
\(451\) 0.159474 0.827807i 0.00750934 0.0389799i
\(452\) −4.27518 −0.201088
\(453\) 8.82455 + 2.67857i 0.414613 + 0.125850i
\(454\) 1.65438 + 5.09167i 0.0776441 + 0.238964i
\(455\) −7.04655 23.4135i −0.330347 1.09764i
\(456\) 4.20434 0.0818312i 0.196886 0.00383210i
\(457\) −13.0649 9.49221i −0.611150 0.444027i 0.238669 0.971101i \(-0.423289\pi\)
−0.849819 + 0.527074i \(0.823289\pi\)
\(458\) −24.8308 8.06802i −1.16027 0.376994i
\(459\) 20.1964 + 24.6356i 0.942689 + 1.14989i
\(460\) −5.20390 + 14.9015i −0.242633 + 0.694784i
\(461\) 31.9271 1.48699 0.743497 0.668739i \(-0.233166\pi\)
0.743497 + 0.668739i \(0.233166\pi\)
\(462\) −32.2588 33.1599i −1.50081 1.54274i
\(463\) 37.3488i 1.73575i −0.496786 0.867873i \(-0.665487\pi\)
0.496786 0.867873i \(-0.334513\pi\)
\(464\) −10.6090 + 7.70790i −0.492511 + 0.357830i
\(465\) 5.53719 + 0.0130703i 0.256781 + 0.000606123i
\(466\) 3.74085 11.5132i 0.173292 0.533336i
\(467\) −20.3358 14.7749i −0.941031 0.683699i 0.00763775 0.999971i \(-0.497569\pi\)
−0.948669 + 0.316272i \(0.897569\pi\)
\(468\) 18.1334 14.2850i 0.838218 0.660325i
\(469\) 8.71945 + 2.83312i 0.402627 + 0.130821i
\(470\) −27.6549 + 36.3676i −1.27562 + 1.67751i
\(471\) −15.1895 4.61058i −0.699897 0.212444i
\(472\) −0.0688722 −0.00317010
\(473\) −25.1039 13.8605i −1.15428 0.637307i
\(474\) 26.1798 19.8105i 1.20248 0.909924i
\(475\) −8.58732 + 2.38138i −0.394013 + 0.109265i
\(476\) 57.4371 18.6625i 2.63263 0.855392i
\(477\) −13.7341 9.18372i −0.628840 0.420494i
\(478\) −18.0883 + 24.8964i −0.827339 + 1.13873i
\(479\) 10.0657 + 7.31316i 0.459914 + 0.334147i 0.793497 0.608574i \(-0.208258\pi\)
−0.333584 + 0.942720i \(0.608258\pi\)
\(480\) 17.6944 24.2337i 0.807635 1.10611i
\(481\) 10.2751 3.33858i 0.468503 0.152226i
\(482\) 21.9071 15.9165i 0.997843 0.724975i
\(483\) −13.8547 + 10.4840i −0.630411 + 0.477036i
\(484\) −28.0778 + 7.10033i −1.27626 + 0.322742i
\(485\) 9.70912 + 13.9958i 0.440869 + 0.635516i
\(486\) −22.2657 25.1003i −1.00999 1.13857i
\(487\) 28.4671 9.24953i 1.28997 0.419136i 0.417888 0.908499i \(-0.362771\pi\)
0.872080 + 0.489363i \(0.162771\pi\)
\(488\) −1.22229 + 3.76183i −0.0553307 + 0.170290i
\(489\) −0.780695 40.1107i −0.0353043 1.81387i
\(490\) −0.734996 + 33.6768i −0.0332037 + 1.52136i
\(491\) −4.81815 + 14.8287i −0.217440 + 0.669212i 0.781531 + 0.623866i \(0.214439\pi\)
−0.998971 + 0.0453457i \(0.985561\pi\)
\(492\) −0.950846 0.662948i −0.0428675 0.0298880i
\(493\) 20.2487 + 27.8700i 0.911958 + 1.25520i
\(494\) 11.2115 0.504431
\(495\) −3.83454 + 21.9157i −0.172350 + 0.985036i
\(496\) −3.33652 −0.149814
\(497\) 1.83360 + 2.52373i 0.0822480 + 0.113205i
\(498\) −3.73778 2.60605i −0.167494 0.116780i
\(499\) 4.37564 13.4668i 0.195881 0.602859i −0.804085 0.594515i \(-0.797344\pi\)
0.999965 0.00834366i \(-0.00265590\pi\)
\(500\) 10.9083 27.3407i 0.487834 1.22271i
\(501\) −0.497657 25.5687i −0.0222337 1.14233i
\(502\) 3.28860 10.1213i 0.146777 0.451734i
\(503\) −25.6404 + 8.33106i −1.14325 + 0.371464i −0.818596 0.574370i \(-0.805247\pi\)
−0.324652 + 0.945834i \(0.605247\pi\)
\(504\) −14.3469 + 5.28717i −0.639061 + 0.235509i
\(505\) −19.3060 + 13.3929i −0.859104 + 0.595975i
\(506\) 2.36422 + 18.9926i 0.105102 + 0.844323i
\(507\) −6.15814 + 4.65991i −0.273493 + 0.206954i
\(508\) −43.1425 + 31.3449i −1.91414 + 1.39070i
\(509\) −1.11494 + 0.362267i −0.0494190 + 0.0160572i −0.333622 0.942707i \(-0.608271\pi\)
0.284203 + 0.958764i \(0.408271\pi\)
\(510\) −41.2755 30.1375i −1.82771 1.33451i
\(511\) 17.5905 + 12.7803i 0.778159 + 0.565366i
\(512\) −14.3646 + 19.7712i −0.634834 + 0.873773i
\(513\) −0.540379 9.24521i −0.0238583 0.408186i
\(514\) −18.5588 + 6.03013i −0.818595 + 0.265978i
\(515\) 8.70262 + 3.03914i 0.383483 + 0.133920i
\(516\) −31.4416 + 23.7921i −1.38414 + 1.04739i
\(517\) −5.95575 + 30.9154i −0.261934 + 1.35966i
\(518\) −29.7705 −1.30804
\(519\) −1.29640 0.393505i −0.0569057 0.0172730i
\(520\) −5.38843 + 7.08607i −0.236298 + 0.310745i
\(521\) 6.84744 + 2.22487i 0.299992 + 0.0974733i 0.455146 0.890417i \(-0.349587\pi\)
−0.155154 + 0.987890i \(0.549587\pi\)
\(522\) −22.4533 28.5023i −0.982755 1.24751i
\(523\) −21.1158 15.3415i −0.923328 0.670837i 0.0210218 0.999779i \(-0.493308\pi\)
−0.944350 + 0.328942i \(0.893308\pi\)
\(524\) −9.32725 + 28.7063i −0.407463 + 1.25404i
\(525\) 26.6669 18.4062i 1.16384 0.803312i
\(526\) 12.8218 9.31561i 0.559058 0.406180i
\(527\) 8.76507i 0.381813i
\(528\) 2.27937 13.2110i 0.0991970 0.574935i
\(529\) −15.8121 −0.687482
\(530\) 25.0239 + 8.73887i 1.08697 + 0.379592i
\(531\) 0.00590212 + 0.151563i 0.000256130 + 0.00657726i
\(532\) −16.6977 5.42543i −0.723939 0.235222i
\(533\) −0.600990 0.436645i −0.0260318 0.0189132i
\(534\) −5.55522 + 0.108124i −0.240398 + 0.00467899i
\(535\) −4.84259 + 1.45743i −0.209363 + 0.0630101i
\(536\) −1.03149 3.17459i −0.0445534 0.137121i
\(537\) 29.1846 + 8.85858i 1.25941 + 0.382276i
\(538\) 55.0558 2.37362
\(539\) 9.84514 + 21.0212i 0.424060 + 0.905447i
\(540\) 25.3896 + 17.0644i 1.09259 + 0.734335i
\(541\) −0.856788 1.17927i −0.0368362 0.0507007i 0.790202 0.612847i \(-0.209976\pi\)
−0.827038 + 0.562146i \(0.809976\pi\)
\(542\) −4.13547 12.7277i −0.177634 0.546700i
\(543\) −13.1463 37.9320i −0.564161 1.62782i
\(544\) 38.4266 + 27.9186i 1.64753 + 1.19700i
\(545\) 0.682901 31.2899i 0.0292523 1.34031i
\(546\) −38.5181 + 13.3494i −1.64842 + 0.571302i
\(547\) −11.1317 34.2598i −0.475956 1.46484i −0.844664 0.535297i \(-0.820200\pi\)
0.368708 0.929545i \(-0.379800\pi\)
\(548\) −39.4616 + 28.6705i −1.68572 + 1.22474i
\(549\) 8.38318 + 2.36745i 0.357786 + 0.101040i
\(550\) −2.85961 35.5790i −0.121934 1.51709i
\(551\) 10.0149i 0.426647i
\(552\) 6.05295 + 1.83729i 0.257631 + 0.0782004i
\(553\) −31.3359 + 10.1817i −1.33254 + 0.432968i
\(554\) 27.7562 + 9.01853i 1.17925 + 0.383160i
\(555\) 8.38811 + 11.6027i 0.356056 + 0.492509i
\(556\) −12.2424 + 16.8503i −0.519196 + 0.714611i
\(557\) 43.7447 + 14.2135i 1.85352 + 0.602246i 0.996162 + 0.0875319i \(0.0278980\pi\)
0.857362 + 0.514714i \(0.172102\pi\)
\(558\) −0.359235 9.22492i −0.0152076 0.390522i
\(559\) −20.4430 + 14.8527i −0.864649 + 0.628204i
\(560\) −16.0423 + 11.1288i −0.677909 + 0.470278i
\(561\) −34.7055 5.98795i −1.46527 0.252811i
\(562\) 24.9021i 1.05043i
\(563\) 10.2627 + 14.1254i 0.432521 + 0.595314i 0.968530 0.248898i \(-0.0800686\pi\)
−0.536009 + 0.844213i \(0.680069\pi\)
\(564\) 35.5105 + 24.7586i 1.49526 + 1.04253i
\(565\) −1.04638 3.47681i −0.0440217 0.146271i
\(566\) 8.94634 12.3136i 0.376043 0.517579i
\(567\) 12.8646 + 31.1192i 0.540264 + 1.30688i
\(568\) 0.350966 1.08016i 0.0147262 0.0453226i
\(569\) −11.3275 34.8623i −0.474872 1.46150i −0.846131 0.532975i \(-0.821074\pi\)
0.371259 0.928529i \(-0.378926\pi\)
\(570\) 4.55786 + 14.1411i 0.190908 + 0.592308i
\(571\) 35.7294i 1.49523i −0.664134 0.747614i \(-0.731200\pi\)
0.664134 0.747614i \(-0.268800\pi\)
\(572\) −4.82769 + 25.0598i −0.201856 + 1.04780i
\(573\) 12.8718 + 17.0103i 0.537726 + 0.710614i
\(574\) 1.20319 + 1.65605i 0.0502203 + 0.0691223i
\(575\) −13.3924 0.584855i −0.558500 0.0243901i
\(576\) −29.9470 20.0250i −1.24779 0.834376i
\(577\) 24.0939 33.1623i 1.00304 1.38057i 0.0795990 0.996827i \(-0.474636\pi\)
0.923441 0.383740i \(-0.125364\pi\)
\(578\) 26.0440 35.8464i 1.08329 1.49101i
\(579\) −10.0310 28.9433i −0.416876 1.20284i
\(580\) 26.3328 + 20.0241i 1.09341 + 0.831456i
\(581\) 2.68793 + 3.69962i 0.111514 + 0.153486i
\(582\) 22.6465 17.1368i 0.938729 0.710343i
\(583\) 18.1255 2.25628i 0.750681 0.0934457i
\(584\) 7.91624i 0.327576i
\(585\) 16.0556 + 11.2507i 0.663819 + 0.465160i
\(586\) −16.3501 50.3206i −0.675418 2.07872i
\(587\) −11.1939 + 34.4513i −0.462022 + 1.42196i 0.400667 + 0.916224i \(0.368778\pi\)
−0.862689 + 0.505734i \(0.831222\pi\)
\(588\) 31.9105 0.621089i 1.31597 0.0256133i
\(589\) 1.49775 2.06148i 0.0617137 0.0849416i
\(590\) −0.0701280 0.233014i −0.00288713 0.00959304i
\(591\) 10.7749 15.4541i 0.443221 0.635698i
\(592\) −5.07086 6.97944i −0.208411 0.286853i
\(593\) 19.0411i 0.781923i −0.920407 0.390962i \(-0.872143\pi\)
0.920407 0.390962i \(-0.127857\pi\)
\(594\) 36.7716 + 4.87970i 1.50876 + 0.200216i
\(595\) 29.2355 + 42.1432i 1.19854 + 1.72770i
\(596\) −14.3330 + 10.4135i −0.587102 + 0.426555i
\(597\) 37.0689 + 25.8452i 1.51713 + 1.05777i
\(598\) 16.0397 + 5.21163i 0.655914 + 0.213119i
\(599\) −14.7038 + 20.2381i −0.600783 + 0.826906i −0.995780 0.0917761i \(-0.970746\pi\)
0.394997 + 0.918682i \(0.370746\pi\)
\(600\) −11.1283 3.91572i −0.454309 0.159858i
\(601\) 38.8018 + 12.6075i 1.58276 + 0.514269i 0.962765 0.270338i \(-0.0871355\pi\)
0.619993 + 0.784608i \(0.287136\pi\)
\(602\) 66.2218 21.5168i 2.69900 0.876957i
\(603\) −6.89772 + 2.54198i −0.280897 + 0.103517i
\(604\) 14.0185i 0.570403i
\(605\) −12.6466 21.0965i −0.514158 0.857695i
\(606\) 23.6387 + 31.2389i 0.960256 + 1.26899i
\(607\) −15.2824 + 11.1033i −0.620293 + 0.450669i −0.853024 0.521872i \(-0.825234\pi\)
0.232731 + 0.972541i \(0.425234\pi\)
\(608\) −4.26699 13.1325i −0.173049 0.532591i
\(609\) 11.9245 + 34.4068i 0.483206 + 1.39423i
\(610\) −13.9719 0.304937i −0.565707 0.0123466i
\(611\) 22.4447 + 16.3070i 0.908016 + 0.659712i
\(612\) −26.9170 + 40.2539i −1.08806 + 1.62717i
\(613\) 6.20996 + 19.1123i 0.250818 + 0.771938i 0.994625 + 0.103544i \(0.0330181\pi\)
−0.743807 + 0.668394i \(0.766982\pi\)
\(614\) 5.82569 + 8.01837i 0.235106 + 0.323595i
\(615\) 0.306419 0.935541i 0.0123560 0.0377247i
\(616\) 8.17043 14.7981i 0.329196 0.596233i
\(617\) −7.20230 −0.289954 −0.144977 0.989435i \(-0.546311\pi\)
−0.144977 + 0.989435i \(0.546311\pi\)
\(618\) 4.46387 14.7062i 0.179563 0.591570i
\(619\) 12.0091 + 36.9603i 0.482688 + 1.48556i 0.835302 + 0.549791i \(0.185293\pi\)
−0.352615 + 0.935769i \(0.614707\pi\)
\(620\) 2.42572 + 8.05994i 0.0974194 + 0.323695i
\(621\) 3.52450 13.4778i 0.141433 0.540846i
\(622\) −35.6989 25.9368i −1.43140 1.03997i
\(623\) 5.30334 + 1.72316i 0.212474 + 0.0690369i
\(624\) −9.69052 6.75642i −0.387931 0.270473i
\(625\) 24.9048 + 2.17938i 0.996193 + 0.0871753i
\(626\) −60.6855 −2.42548
\(627\) 7.13925 + 7.33868i 0.285114 + 0.293079i
\(628\) 24.1297i 0.962880i
\(629\) −18.3351 + 13.3212i −0.731067 + 0.531152i
\(630\) −32.4965 43.1560i −1.29469 1.71938i
\(631\) 10.5321 32.4144i 0.419275 1.29040i −0.489096 0.872230i \(-0.662673\pi\)
0.908371 0.418165i \(-0.137327\pi\)
\(632\) 9.70492 + 7.05104i 0.386041 + 0.280475i
\(633\) 0.577373 + 29.6644i 0.0229485 + 1.17905i
\(634\) −23.8299 7.74279i −0.946405 0.307506i
\(635\) −36.0508 27.4140i −1.43063 1.08789i
\(636\) 7.29451 24.0317i 0.289246 0.952921i
\(637\) 20.4545 0.810437
\(638\) 39.3892 + 7.58820i 1.55943 + 0.300420i
\(639\) −2.40712 0.679783i −0.0952244 0.0268918i
\(640\) 21.8536 + 7.63176i 0.863841 + 0.301672i
\(641\) 10.7142 3.48126i 0.423186 0.137501i −0.0896793 0.995971i \(-0.528584\pi\)
0.512865 + 0.858469i \(0.328584\pi\)
\(642\) 2.76104 + 7.96665i 0.108970 + 0.314419i
\(643\) 3.97759 5.47468i 0.156861 0.215900i −0.723352 0.690479i \(-0.757400\pi\)
0.880213 + 0.474579i \(0.157400\pi\)
\(644\) −21.3666 15.5237i −0.841961 0.611720i
\(645\) −27.0446 19.7467i −1.06488 0.777527i
\(646\) −22.3675 + 7.26765i −0.880038 + 0.285942i
\(647\) −30.2310 + 21.9641i −1.18850 + 0.863497i −0.993105 0.117227i \(-0.962599\pi\)
−0.195397 + 0.980724i \(0.562599\pi\)
\(648\) 6.41304 10.4488i 0.251928 0.410468i
\(649\) −0.114566 0.122446i −0.00449712 0.00480644i
\(650\) −29.4609 11.0153i −1.15555 0.432056i
\(651\) −2.69106 + 8.86570i −0.105471 + 0.347474i
\(652\) 57.9988 18.8449i 2.27141 0.738025i
\(653\) 1.77221 5.45432i 0.0693521 0.213444i −0.910374 0.413787i \(-0.864206\pi\)
0.979726 + 0.200343i \(0.0642058\pi\)
\(654\) −52.1706 + 1.01542i −2.04003 + 0.0397062i
\(655\) −25.6285 0.559341i −1.00139 0.0218553i
\(656\) −0.183306 + 0.564157i −0.00715689 + 0.0220266i
\(657\) −17.4208 + 0.678396i −0.679650 + 0.0264668i
\(658\) −44.9347 61.8473i −1.75174 2.41106i
\(659\) 37.5865 1.46416 0.732081 0.681217i \(-0.238549\pi\)
0.732081 + 0.681217i \(0.238549\pi\)
\(660\) −33.5706 + 4.09847i −1.30674 + 0.159533i
\(661\) −16.3807 −0.637135 −0.318567 0.947900i \(-0.603202\pi\)
−0.318567 + 0.947900i \(0.603202\pi\)
\(662\) −34.5480 47.5512i −1.34275 1.84813i
\(663\) −17.7492 + 25.4571i −0.689322 + 0.988673i
\(664\) 0.514493 1.58345i 0.0199662 0.0614497i
\(665\) 0.325354 14.9074i 0.0126167 0.578085i
\(666\) 18.7510 14.7715i 0.726588 0.572386i
\(667\) 4.65535 14.3277i 0.180256 0.554771i
\(668\) 36.9715 12.0128i 1.43047 0.464788i
\(669\) 22.0148 + 6.68228i 0.851140 + 0.258352i
\(670\) 9.69024 6.72229i 0.374367 0.259705i
\(671\) −8.72133 + 4.08458i −0.336683 + 0.157683i
\(672\) 30.2962 + 40.0369i 1.16870 + 1.54446i
\(673\) 4.22946 3.07288i 0.163034 0.118451i −0.503277 0.864125i \(-0.667872\pi\)
0.666311 + 0.745674i \(0.267872\pi\)
\(674\) −29.9952 + 9.74602i −1.15537 + 0.375403i
\(675\) −7.66342 + 24.8248i −0.294965 + 0.955508i
\(676\) −9.49701 6.89998i −0.365270 0.265384i
\(677\) 2.47930 3.41247i 0.0952874 0.131152i −0.758711 0.651427i \(-0.774171\pi\)
0.853999 + 0.520275i \(0.174171\pi\)
\(678\) −5.71978 + 1.98233i −0.219667 + 0.0761310i
\(679\) −27.1068 + 8.80752i −1.04026 + 0.338002i
\(680\) 6.15675 17.6300i 0.236101 0.676078i
\(681\) 2.59960 + 3.43542i 0.0996170 + 0.131645i
\(682\) 6.97312 + 7.45274i 0.267014 + 0.285380i
\(683\) 14.5043 0.554993 0.277496 0.960727i \(-0.410495\pi\)
0.277496 + 0.960727i \(0.410495\pi\)
\(684\) 13.2091 4.86789i 0.505064 0.186128i
\(685\) −32.9749 25.0750i −1.25991 0.958066i
\(686\) 0.00909827 + 0.00295621i 0.000347374 + 0.000112869i
\(687\) −21.0057 + 0.408845i −0.801419 + 0.0155984i
\(688\) 16.3241 + 11.8602i 0.622351 + 0.452164i
\(689\) 4.97370 15.3075i 0.189483 0.583168i
\(690\) −0.0527556 + 22.3497i −0.00200837 + 0.850837i
\(691\) −27.9241 + 20.2881i −1.06228 + 0.771794i −0.974510 0.224346i \(-0.927975\pi\)
−0.0877744 + 0.996140i \(0.527975\pi\)
\(692\) 2.05943i 0.0782878i
\(693\) −33.2655 16.7120i −1.26365 0.634837i
\(694\) 19.5992 0.743975
\(695\) −16.7000 5.83199i −0.633467 0.221220i
\(696\) 7.58257 10.8754i 0.287417 0.412232i
\(697\) 1.48205 + 0.481547i 0.0561366 + 0.0182399i
\(698\) 16.8587 + 12.2486i 0.638113 + 0.463616i
\(699\) −0.189567 9.73960i −0.00717007 0.368385i
\(700\) 38.5467 + 30.6620i 1.45693 + 1.15892i
\(701\) −14.2187 43.7608i −0.537034 1.65282i −0.739212 0.673473i \(-0.764802\pi\)
0.202177 0.979349i \(-0.435198\pi\)
\(702\) 17.6370 27.5201i 0.665667 1.03868i
\(703\) 6.58856 0.248492
\(704\) 39.5225 4.91981i 1.48956 0.185422i
\(705\) −11.4436 + 34.9389i −0.430991 + 1.31588i
\(706\) 15.3878 + 21.1795i 0.579129 + 0.797103i
\(707\) −12.1492 37.3914i −0.456918 1.40625i
\(708\) −0.217851 + 0.0755018i −0.00818735 + 0.00283753i
\(709\) 36.7685 + 26.7139i 1.38087 + 1.00326i 0.996798 + 0.0799582i \(0.0254787\pi\)
0.384072 + 0.923303i \(0.374521\pi\)
\(710\) 4.01187 + 0.0875589i 0.150563 + 0.00328603i
\(711\) 14.6851 21.9613i 0.550734 0.823612i
\(712\) −0.627369 1.93084i −0.0235117 0.0723615i
\(713\) 3.10101 2.25302i 0.116134 0.0843762i
\(714\) 68.1918 51.6012i 2.55201 1.93113i
\(715\) −21.5616 + 2.20744i −0.806359 + 0.0825535i
\(716\) 46.3619i 1.73262i
\(717\) −7.19262 + 23.6961i −0.268613 + 0.884946i
\(718\) −23.5186 + 7.64167i −0.877708 + 0.285185i
\(719\) −10.0623 3.26945i −0.375261 0.121930i 0.115313 0.993329i \(-0.463213\pi\)
−0.490574 + 0.871399i \(0.663213\pi\)
\(720\) 4.58238 14.9694i 0.170775 0.557876i
\(721\) −9.06603 + 12.4783i −0.337636 + 0.464717i
\(722\) −32.3917 10.5247i −1.20549 0.391689i
\(723\) 12.4625 17.8746i 0.463487 0.664765i
\(724\) 49.3701 35.8695i 1.83483 1.33308i
\(725\) −9.83956 + 26.3163i −0.365432 + 0.977363i
\(726\) −34.2730 + 22.5188i −1.27199 + 0.835749i
\(727\) 11.7037i 0.434065i 0.976164 + 0.217032i \(0.0696378\pi\)
−0.976164 + 0.217032i \(0.930362\pi\)
\(728\) −8.75532 12.0507i −0.324494 0.446627i
\(729\) −23.5436 13.2173i −0.871986 0.489531i
\(730\) 26.7829 8.06059i 0.991280 0.298336i
\(731\) 31.1568 42.8836i 1.15238 1.58611i
\(732\) 0.257679 + 13.2391i 0.00952410 + 0.489331i
\(733\) −9.02911 + 27.7888i −0.333498 + 1.02640i 0.633959 + 0.773366i \(0.281429\pi\)
−0.967457 + 0.253035i \(0.918571\pi\)
\(734\) −0.385408 1.18616i −0.0142257 0.0437821i
\(735\) 8.31543 + 25.7993i 0.306719 + 0.951622i
\(736\) 20.7714i 0.765642i
\(737\) 3.92820 7.11467i 0.144697 0.262072i
\(738\) −1.57954 0.446069i −0.0581436 0.0164200i
\(739\) 7.61210 + 10.4772i 0.280015 + 0.385408i 0.925739 0.378163i \(-0.123444\pi\)
−0.645724 + 0.763571i \(0.723444\pi\)
\(740\) −13.1734 + 17.3238i −0.484265 + 0.636834i
\(741\) 8.52451 2.95438i 0.313156 0.108532i
\(742\) −26.0689 + 35.8807i −0.957018 + 1.31722i
\(743\) 3.62431 4.98843i 0.132963 0.183008i −0.737344 0.675517i \(-0.763920\pi\)
0.870307 + 0.492510i \(0.163920\pi\)
\(744\) 3.18726 1.10463i 0.116851 0.0404975i
\(745\) −11.9770 9.10758i −0.438802 0.333676i
\(746\) −23.7436 32.6802i −0.869314 1.19651i
\(747\) −3.52868 0.996517i −0.129108 0.0364607i
\(748\) −6.61305 53.1249i −0.241797 1.94244i
\(749\) 8.46187i 0.309190i
\(750\) 1.91681 41.6372i 0.0699919 1.52037i
\(751\) 6.97116 + 21.4550i 0.254381 + 0.782905i 0.993951 + 0.109825i \(0.0350290\pi\)
−0.739570 + 0.673080i \(0.764971\pi\)
\(752\) 6.84578 21.0691i 0.249640 0.768312i
\(753\) −0.166649 8.56213i −0.00607303 0.312021i
\(754\) 20.7767 28.5967i 0.756644 1.04143i
\(755\) −11.4006 + 3.43112i −0.414909 + 0.124871i
\(756\) −39.5848 + 32.4519i −1.43969 + 1.18026i
\(757\) −3.58874 4.93948i −0.130435 0.179528i 0.738804 0.673920i \(-0.235391\pi\)
−0.869239 + 0.494392i \(0.835391\pi\)
\(758\) 8.73291i 0.317194i
\(759\) 6.80238 + 13.8177i 0.246911 + 0.501550i
\(760\) −4.46058 + 3.09438i −0.161802 + 0.112245i
\(761\) 22.7069 16.4975i 0.823125 0.598035i −0.0944811 0.995527i \(-0.530119\pi\)
0.917606 + 0.397492i \(0.130119\pi\)
\(762\) −43.1864 + 61.9409i −1.56448 + 2.24388i
\(763\) 49.8052 + 16.1827i 1.80307 + 0.585852i
\(764\) −19.0594 + 26.2330i −0.689544 + 0.949077i
\(765\) −39.3248 12.0380i −1.42179 0.435233i
\(766\) 57.9058 + 18.8147i 2.09222 + 0.679803i
\(767\) −0.140531 + 0.0456612i −0.00507427 + 0.00164873i
\(768\) −0.872846 + 2.87559i −0.0314961 + 0.103764i
\(769\) 23.0642i 0.831717i −0.909429 0.415859i \(-0.863481\pi\)
0.909429 0.415859i \(-0.136519\pi\)
\(770\) 58.3856 + 12.5749i 2.10407 + 0.453169i
\(771\) −12.5219 + 9.47540i −0.450965 + 0.341248i
\(772\) 37.6710 27.3696i 1.35581 0.985053i
\(773\) 9.17255 + 28.2302i 0.329914 + 1.01537i 0.969173 + 0.246379i \(0.0792409\pi\)
−0.639260 + 0.768991i \(0.720759\pi\)
\(774\)