Properties

Label 165.2.r.a.29.3
Level $165$
Weight $2$
Character 165.29
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 29.3
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26516 + 1.74134i) q^{2} +(-1.42080 + 0.990613i) q^{3} +(-0.813603 - 2.50401i) q^{4} +(0.737221 - 2.11104i) q^{5} +(0.0725479 - 3.72738i) q^{6} +(-1.15619 - 3.55838i) q^{7} +(1.29554 + 0.420945i) q^{8} +(1.03737 - 2.81493i) q^{9} +O(q^{10})\) \(q+(-1.26516 + 1.74134i) q^{2} +(-1.42080 + 0.990613i) q^{3} +(-0.813603 - 2.50401i) q^{4} +(0.737221 - 2.11104i) 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} +(1.04378 + 3.72968i) 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} +(-5.88589 - 0.128459i) q^{20} +(5.16769 + 3.91042i) q^{21} +(0.881833 - 7.08407i) q^{22} +2.68103 q^{23} +(-2.25770 + 0.685294i) q^{24} +(-3.91301 - 3.11261i) 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} +(-7.81518 - 2.90105i) q^{30} +(-1.15665 - 0.840357i) q^{31} +7.74754i q^{32} +(2.53723 - 5.15388i) q^{33} +13.1958 q^{34} +(-8.36425 - 0.182550i) 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} +(1.84373 - 2.42461i) q^{40} +(0.0785467 - 0.241742i) q^{41} +(-13.3473 + 4.05139i) q^{42} -8.64616 q^{43} +(6.37641 + 5.96605i) q^{44} +(-5.17768 - 4.26517i) 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} +(10.3707 - 2.87593i) 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} +(1.24368 + 7.31117i) q^{55} -5.09670i q^{56} +(2.95392 - 0.896622i) q^{57} +(11.5027 + 3.73746i) q^{58} +(0.0480847 - 0.0156237i) q^{59} +(8.48995 - 5.64812i) 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} +(10.9000 - 14.3340i) 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} +(8.64302 + 0.546135i) q^{75} +4.69252i q^{76} +(9.06132 + 8.47817i) q^{77} +(6.57458 - 8.68841i) q^{78} +(-5.17618 + 7.12440i) q^{79} +(-1.50389 - 4.99695i) 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} +(-13.1271 + 3.95073i) q^{85} +(10.9387 - 15.0559i) q^{86} +(7.76104 + 5.87283i) q^{87} +(-4.43636 + 0.854650i) q^{88} -1.49038i q^{89} +(13.9777 - 3.61998i) 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} +(-2.41229 + 3.17229i) 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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

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 0.0775584 + 0.996988i \(0.475288\pi\)
−0.972159 + 0.234324i \(0.924712\pi\)
\(3\) −1.42080 + 0.990613i −0.820302 + 0.571931i
\(4\) −0.813603 2.50401i −0.406802 1.25201i
\(5\) 0.737221 2.11104i 0.329695 0.944087i
\(6\) 0.0725479 3.72738i 0.0296176 1.52170i
\(7\) −1.15619 3.55838i −0.436997 1.34494i −0.891026 0.453953i \(-0.850014\pi\)
0.454028 0.890987i \(-0.349986\pi\)
\(8\) 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 \(-0.167172\pi\)
−0.209463 + 0.977817i \(0.567172\pi\)
\(14\) 7.65909 + 2.48859i 2.04698 + 0.665104i
\(15\) 1.04378 + 3.72968i 0.269503 + 0.963000i
\(16\) 1.88802 1.37173i 0.472004 0.342931i
\(17\) −3.60354 4.95985i −0.873987 1.20294i −0.978050 0.208369i \(-0.933185\pi\)
0.104064 0.994571i \(-0.466815\pi\)
\(18\) 3.58931 + 5.36775i 0.846010 + 1.26519i
\(19\) −1.69505 0.550755i −0.388871 0.126352i 0.108055 0.994145i \(-0.465538\pi\)
−0.496926 + 0.867793i \(0.665538\pi\)
\(20\) −5.88589 0.128459i −1.31612 0.0287244i
\(21\) 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 \(-0.409826\pi\)
0.279516 + 0.960141i \(0.409826\pi\)
\(24\) −2.25770 + 0.685294i −0.460851 + 0.139885i
\(25\) −3.91301 3.11261i −0.782602 0.622522i
\(26\) −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 −0.972582 0.232561i \(-0.925289\pi\)
0.650139 0.759815i \(-0.274711\pi\)
\(30\) −7.81518 2.90105i −1.42685 0.529658i
\(31\) −1.15665 0.840357i −0.207741 0.150933i 0.479050 0.877788i \(-0.340981\pi\)
−0.686791 + 0.726855i \(0.740981\pi\)
\(32\) 7.74754i 1.36958i
\(33\) 2.53723 5.15388i 0.441675 0.897175i
\(34\) 13.1958 2.26306
\(35\) −8.36425 0.182550i −1.41382 0.0308565i
\(36\) −7.89264 0.307354i −1.31544 0.0512256i
\(37\) 3.51577 1.14234i 0.577990 0.187800i −0.00541019 0.999985i \(-0.501722\pi\)
0.583400 + 0.812185i \(0.301722\pi\)
\(38\) 3.10355 2.25486i 0.503462 0.365787i
\(39\) −5.06107 0.0985063i −0.810421 0.0157736i
\(40\) 1.84373 2.42461i 0.291520 0.383364i
\(41\) 0.0785467 0.241742i 0.0122669 0.0377537i −0.944736 0.327833i \(-0.893682\pi\)
0.957003 + 0.290079i \(0.0936817\pi\)
\(42\) −13.3473 + 4.05139i −2.05953 + 0.625144i
\(43\) −8.64616 −1.31853 −0.659264 0.751912i \(-0.729132\pi\)
−0.659264 + 0.751912i \(0.729132\pi\)
\(44\) 6.37641 + 5.96605i 0.961280 + 0.899416i
\(45\) −5.17768 4.26517i −0.771843 0.635814i
\(46\) −3.39192 + 4.66857i −0.500111 + 0.688343i
\(47\) 2.93342 9.02814i 0.427883 1.31689i −0.472323 0.881426i \(-0.656584\pi\)
0.900206 0.435464i \(-0.143416\pi\)
\(48\) −1.32366 + 3.81925i −0.191053 + 0.551261i
\(49\) −5.66216 + 4.11380i −0.808880 + 0.587686i
\(50\) 10.3707 2.87593i 1.46663 0.406718i
\(51\) 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 \(-0.176530\pi\)
−0.238117 + 0.971236i \(0.576530\pi\)
\(54\) −10.4171 4.07090i −1.41758 0.553979i
\(55\) 1.24368 + 7.31117i 0.167697 + 0.985839i
\(56\) 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 −0.305885 0.952068i \(-0.598952\pi\)
0.312145 + 0.950034i \(0.398952\pi\)
\(60\) 8.48995 5.64812i 1.09605 0.729169i
\(61\) 1.70674 + 2.34913i 0.218526 + 0.300776i 0.904179 0.427153i \(-0.140483\pi\)
−0.685653 + 0.727928i \(0.740483\pi\)
\(62\) 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
\(70\) 10.9000 14.3340i 1.30279 1.71324i
\(71\) −0.490070 0.674523i −0.0581606 0.0800512i 0.778946 0.627091i \(-0.215755\pi\)
−0.837107 + 0.547040i \(0.815755\pi\)
\(72\) 2.52889 3.21018i 0.298032 0.378323i
\(73\) 1.79580 + 5.52690i 0.210182 + 0.646875i 0.999461 + 0.0328393i \(0.0104549\pi\)
−0.789278 + 0.614036i \(0.789545\pi\)
\(74\) −2.45879 + 7.56739i −0.285829 + 0.879691i
\(75\) 8.64302 + 0.546135i 0.998010 + 0.0630622i
\(76\) 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 −0.993952 0.109813i \(-0.964975\pi\)
0.411586 + 0.911371i \(0.364975\pi\)
\(80\) −1.50389 4.99695i −0.168139 0.558676i
\(81\) −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 \(-0.178632\pi\)
−0.767767 + 0.640729i \(0.778632\pi\)
\(84\) 5.58731 16.1215i 0.609625 1.75900i
\(85\) −13.1271 + 3.95073i −1.42383 + 0.428516i
\(86\) 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 \(-0.974830\pi\)
0.996875 0.0789901i \(-0.0251695\pi\)
\(90\) 13.9777 3.61998i 1.47338 0.381580i
\(91\) 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
\(95\) −2.41229 + 3.17229i −0.247496 + 0.325470i
\(96\) −7.67481 11.0077i −0.783307 1.12347i
\(97\) 4.47759 6.16287i 0.454630 0.625745i −0.518754 0.854924i \(-0.673604\pi\)
0.973384 + 0.229179i \(0.0736040\pi\)
\(98\) 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 0.924011 0.382366i \(-0.124890\pi\)
−0.0781161 + 0.996944i \(0.524890\pi\)
\(102\) −18.7487 + 13.0719i −1.85639 + 1.29431i
\(103\) 3.92066 1.27390i 0.386314 0.125521i −0.109420 0.993996i \(-0.534899\pi\)
0.495734 + 0.868475i \(0.334899\pi\)
\(104\) 2.34006 + 3.22081i 0.229462 + 0.315827i
\(105\) 12.0648 8.02637i 1.17740 0.783294i
\(106\) −11.2736 + 3.66303i −1.09499 + 0.355785i
\(107\) −2.15093 0.698881i −0.207939 0.0675634i 0.203196 0.979138i \(-0.434867\pi\)
−0.411134 + 0.911575i \(0.634867\pi\)
\(108\) 11.5184 7.38187i 1.10836 0.710320i
\(109\) 13.9966i 1.34063i −0.742076 0.670315i \(-0.766159\pi\)
0.742076 0.670315i \(-0.233841\pi\)
\(110\) −14.3047 7.08411i −1.36390 0.675444i
\(111\) −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 \(-0.924335\pi\)
0.924677 + 0.380752i \(0.124335\pi\)
\(114\) −2.17584 + 6.27813i −0.203786 + 0.588001i
\(115\) 1.97651 5.65976i 0.184310 0.527776i
\(116\) −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
\(120\) −0.217737 + 5.27131i −0.0198766 + 0.481203i
\(121\) 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
\(125\) −9.45561 + 5.96585i −0.845736 + 0.533602i
\(126\) 14.9505 18.9782i 1.33190 1.69072i
\(127\) −16.3861 + 11.9052i −1.45403 + 1.05641i −0.469161 + 0.883112i \(0.655444\pi\)
−0.984869 + 0.173302i \(0.944556\pi\)
\(128\) 9.84539 3.19896i 0.870218 0.282751i
\(129\) 12.2845 8.56500i 1.08159 0.754106i
\(130\) −0.306920 + 14.0628i −0.0269187 + 1.23339i
\(131\) 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
\(135\) 11.5816 + 0.930895i 0.996785 + 0.0801187i
\(136\) −2.58069 7.94256i −0.221293 0.681069i
\(137\) −14.9880 + 10.8894i −1.28051 + 0.930347i −0.999568 0.0293772i \(-0.990648\pi\)
−0.280944 + 0.959724i \(0.590648\pi\)
\(138\) 0.194503 9.99321i 0.0165572 0.850678i
\(139\) 7.52360 2.44457i 0.638143 0.207345i 0.0279644 0.999609i \(-0.491098\pi\)
0.610179 + 0.792264i \(0.291098\pi\)
\(140\) 6.34808 + 21.0927i 0.536510 + 1.78266i
\(141\) 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
\(145\) −12.5618 0.274160i −1.04320 0.0227678i
\(146\) −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 −0.342028 0.939690i \(-0.611114\pi\)
0.788006 + 0.615668i \(0.211114\pi\)
\(150\) −11.8858 + 14.3595i −0.970469 + 1.17245i
\(151\) 5.06380 + 1.64533i 0.412086 + 0.133895i 0.507721 0.861522i \(-0.330488\pi\)
−0.0956350 + 0.995416i \(0.530488\pi\)
\(152\) −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 \(-0.280825\pi\)
0.0602045 + 0.998186i \(0.480825\pi\)
\(158\) −5.85731 18.0270i −0.465983 1.43415i
\(159\) −9.53698 0.185623i −0.756332 0.0147209i
\(160\) 16.3554 + 5.71165i 1.29301 + 0.451545i
\(161\) −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 0.192668 0.981264i \(-0.438286\pi\)
0.873700 0.486465i \(-0.161714\pi\)
\(164\) −0.669231 −0.0522581
\(165\) −9.00957 9.15575i −0.701394 0.712774i
\(166\) −2.63075 −0.204186
\(167\) 8.67860 11.9451i 0.671570 0.924337i −0.328225 0.944600i \(-0.606450\pi\)
0.999795 + 0.0202628i \(0.00645029\pi\)
\(168\) 5.04886 + 7.24142i 0.389528 + 0.558687i
\(169\) −1.37779 4.24039i −0.105983 0.326184i
\(170\) 9.72822 27.8569i 0.746121 2.13653i
\(171\) −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 \(-0.390534\pi\)
−0.280601 + 0.959825i \(0.590534\pi\)
\(174\) −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 0.858540 0.512746i \(-0.171372\pi\)
0.393189 + 0.919458i \(0.371372\pi\)
\(180\) −6.46746 + 16.4351i −0.482056 + 1.22500i
\(181\) −18.7514 + 13.6237i −1.39378 + 1.01264i −0.398343 + 0.917236i \(0.630415\pi\)
−0.995439 + 0.0954051i \(0.969585\pi\)
\(182\) 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
\(185\) 0.180364 8.26411i 0.0132606 0.607589i
\(186\) −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
\(190\) −2.47211 8.21406i −0.179346 0.595910i
\(191\) 11.7130 3.80577i 0.847519 0.275376i 0.147113 0.989120i \(-0.453002\pi\)
0.700407 + 0.713744i \(0.253002\pi\)
\(192\) 20.7953 + 0.404750i 1.50077 + 0.0292103i
\(193\) 14.3079 10.3953i 1.02991 0.748272i 0.0616173 0.998100i \(-0.480374\pi\)
0.968290 + 0.249828i \(0.0803742\pi\)
\(194\) 5.06679 + 15.5940i 0.363775 + 1.11958i
\(195\) −3.93908 + 10.6115i −0.282084 + 0.759907i
\(196\) 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 \(0.124283\pi\)
\(200\) −3.75921 5.67967i −0.265816 0.401613i
\(201\) −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
\(205\) −0.452421 0.344033i −0.0315985 0.0240283i
\(206\) −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
\(210\) −1.28724 + 31.1635i −0.0888281 + 2.15049i
\(211\) 10.0687 13.8584i 0.693161 0.954055i −0.306836 0.951762i \(-0.599270\pi\)
0.999997 0.00229222i \(-0.000729636\pi\)
\(212\) 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
\(215\) −6.37413 + 18.2524i −0.434712 + 1.24481i
\(216\) −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
\(220\) 17.2954 9.06258i 1.16606 0.610999i
\(221\) 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 \(-0.546705\pi\)
−0.699749 + 0.714389i \(0.746705\pi\)
\(224\) 27.5687 8.95760i 1.84201 0.598505i
\(225\) −12.8210 + 7.78593i −0.854736 + 0.519062i
\(226\) −2.05432 2.82753i −0.136651 0.188085i
\(227\) −2.36556 + 0.768619i −0.157008 + 0.0510150i −0.386466 0.922303i \(-0.626305\pi\)
0.229458 + 0.973318i \(0.426305\pi\)
\(228\) −4.64847 6.66715i −0.307852 0.441543i
\(229\) −9.81334 7.12981i −0.648484 0.471151i 0.214270 0.976774i \(-0.431263\pi\)
−0.862754 + 0.505623i \(0.831263\pi\)
\(230\) 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 \(-0.741022\pi\)
0.903456 + 0.428681i \(0.141022\pi\)
\(234\) −0.734341 + 18.8574i −0.0480054 + 1.23275i
\(235\) −16.8962 12.8483i −1.10219 0.838131i
\(236\) −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 −0.700379 0.713771i \(-0.746986\pi\)
0.986163 0.165780i \(-0.0530142\pi\)
\(240\) 7.08677 + 5.60993i 0.457449 + 0.362119i
\(241\) 12.5806i 0.810390i 0.914230 + 0.405195i \(0.132796\pi\)
−0.914230 + 0.405195i \(0.867204\pi\)
\(242\) 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
\(245\) 4.51015 + 14.9858i 0.288143 + 0.957410i
\(246\) −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
\(250\) 1.57426 24.0131i 0.0995649 1.51872i
\(251\) −2.90618 + 4.00001i −0.183436 + 0.252478i −0.890825 0.454346i \(-0.849873\pi\)
0.707389 + 0.706824i \(0.249873\pi\)
\(252\) 8.03169 + 28.4404i 0.505949 + 1.79157i
\(253\) −7.78428 + 4.29791i −0.489393 + 0.270207i
\(254\) 43.5956i 2.73543i
\(255\) 14.7373 18.6170i 0.922888 1.16584i
\(256\) 0.536150 1.65010i 0.0335094 0.103131i
\(257\) 2.80157 + 8.62234i 0.174757 + 0.537847i 0.999622 0.0274825i \(-0.00874904\pi\)
−0.824865 + 0.565329i \(0.808749\pi\)
\(258\) −0.627261 + 32.2275i −0.0390516 + 2.00640i
\(259\) −8.12978 11.1897i −0.505160 0.695293i
\(260\) −13.6960 10.4147i −0.849387 0.645895i
\(261\) −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 0.964831 + 0.262869i \(0.0846688\pi\)
−0.0481459 + 0.998840i \(0.515331\pi\)
\(270\) −16.2735 + 18.9897i −0.990375 + 1.15568i
\(271\) −5.91321 + 1.92132i −0.359202 + 0.116712i −0.483058 0.875588i \(-0.660474\pi\)
0.123856 + 0.992300i \(0.460474\pi\)
\(272\) −13.6071 4.42121i −0.825051 0.268075i
\(273\) 5.50102 + 18.1231i 0.332937 + 1.09686i
\(274\) 39.8760i 2.40900i
\(275\) 16.3511 + 2.76449i 0.986007 + 0.166705i
\(276\) 9.74950 + 7.37751i 0.586851 + 0.444074i
\(277\) −10.9695 7.96979i −0.659091 0.478858i 0.207265 0.978285i \(-0.433544\pi\)
−0.866356 + 0.499427i \(0.833544\pi\)
\(278\) −5.26171 + 16.1939i −0.315576 + 0.971245i
\(279\) −3.56543 + 2.38414i −0.213457 + 0.142735i
\(280\) −10.7594 3.75739i −0.642995 0.224547i
\(281\) −9.35985 + 6.80033i −0.558362 + 0.405674i −0.830859 0.556483i \(-0.812150\pi\)
0.272497 + 0.962157i \(0.412150\pi\)
\(282\) −33.4385 11.5889i −1.99123 0.690112i
\(283\) 2.18516 6.72524i 0.129894 0.399774i −0.864867 0.502002i \(-0.832597\pi\)
0.994761 + 0.102228i \(0.0325970\pi\)
\(284\) −1.29029 + 1.77594i −0.0765648 + 0.105382i
\(285\) 0.284882 6.89686i 0.0168749 0.408534i
\(286\) 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
\(290\) 16.3700 21.5274i 0.961279 1.26413i
\(291\) −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 \(-0.345038\pi\)
0.897974 + 0.440048i \(0.145038\pi\)
\(294\) 14.9229 + 21.4035i 0.870322 + 1.24828i
\(295\) 0.00246681 0.113027i 0.000143623 0.00658068i
\(296\) 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
\(300\) −5.66446 22.0866i −0.327038 1.27517i
\(301\) 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
\(305\) 6.21737 1.87118i 0.356006 0.107144i
\(306\) 13.6890 37.1453i 0.782546 2.12346i
\(307\) −4.60472 −0.262805 −0.131403 0.991329i \(-0.541948\pi\)
−0.131403 + 0.991329i \(0.541948\pi\)
\(308\) 13.8571 29.5875i 0.789584 1.68591i
\(309\) −4.30855 + 5.69382i −0.245105 + 0.323910i
\(310\) 0.150143 6.87942i 0.00852756 0.390725i
\(311\) −19.4975 6.33511i −1.10560 0.359231i −0.301345 0.953515i \(-0.597436\pi\)
−0.804255 + 0.594284i \(0.797436\pi\)
\(312\) −6.51534 2.25806i −0.368859 0.127837i
\(313\) 16.5721 + 22.8096i 0.936712 + 1.28927i 0.957183 + 0.289482i \(0.0934832\pi\)
−0.0204718 + 0.999790i \(0.506517\pi\)
\(314\) −15.9590 + 11.5949i −0.900617 + 0.654336i
\(315\) −9.19071 + 23.3555i −0.517838 + 1.31593i
\(316\) 22.0510 + 7.16479i 1.24046 + 0.403051i
\(317\) 9.41776 + 6.84240i 0.528954 + 0.384308i 0.819966 0.572412i \(-0.193992\pi\)
−0.291012 + 0.956719i \(0.593992\pi\)
\(318\) 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
\(325\) −3.90497 14.0814i −0.216609 0.781096i
\(326\) 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
\(330\) 27.3418 4.10525i 1.50511 0.225987i
\(331\) −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
\(335\) 5.17291 + 1.80649i 0.282626 + 0.0986990i
\(336\) 15.1207 + 0.294302i 0.824903 + 0.0160555i
\(337\) 4.52795 + 13.9356i 0.246653 + 0.759121i 0.995360 + 0.0962195i \(0.0306751\pi\)
−0.748707 + 0.662901i \(0.769325\pi\)
\(338\) 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
\(345\) 2.79840 + 9.99938i 0.150661 + 0.538348i
\(346\) −1.36207 + 0.989602i −0.0732254 + 0.0532014i
\(347\) −5.35219 7.36665i −0.287321 0.395463i 0.640821 0.767690i \(-0.278594\pi\)
−0.928141 + 0.372228i \(0.878594\pi\)
\(348\) 8.39123 24.2119i 0.449817 1.29789i
\(349\) 9.20764 + 2.99174i 0.492874 + 0.160144i 0.544900 0.838501i \(-0.316568\pi\)
−0.0520257 + 0.998646i \(0.516568\pi\)
\(350\) −22.2241 33.5777i −1.18793 1.79480i
\(351\) −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 \(-0.604920\pi\)
−0.323680 + 0.946166i \(0.604920\pi\)
\(354\) −0.0547468 0.180363i −0.00290976 0.00958620i
\(355\) −1.78524 + 0.537286i −0.0947506 + 0.0285162i
\(356\) −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 0.812604 0.582816i \(-0.198049\pi\)
−0.999981 + 0.00612922i \(0.998049\pi\)
\(360\) −4.91247 7.70520i −0.258910 0.406100i
\(361\) −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
\(365\) 12.9914 + 0.283538i 0.680003 + 0.0148410i
\(366\) 8.87993 6.19126i 0.464161 0.323622i
\(367\) 0.551086 0.179059i 0.0287665 0.00934679i −0.294598 0.955621i \(-0.595186\pi\)
0.323365 + 0.946274i \(0.395186\pi\)
\(368\) 5.06183 3.67763i 0.263866 0.191710i
\(369\) −0.599005 0.471880i −0.0311830 0.0245651i
\(370\) 14.1624 + 10.7695i 0.736269 + 0.559878i
\(371\) 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 \(-0.338504\pi\)
0.485867 + 0.874032i \(0.338504\pi\)
\(374\) −38.3136 + 21.1540i −1.98115 + 1.09384i
\(375\) 7.52473 17.8432i 0.388575 0.921417i
\(376\) 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 −0.500283 0.865862i \(-0.666771\pi\)
0.668888 + 0.743363i \(0.266771\pi\)
\(380\) 9.90611 + 3.45942i 0.508173 + 0.177465i
\(381\) 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 \(-0.557101\pi\)
−0.990932 + 0.134363i \(0.957101\pi\)
\(384\) −10.8194 + 14.2981i −0.552128 + 0.729645i
\(385\) 24.5780 12.8786i 1.25261 0.656352i
\(386\) 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 −0.915639 + 0.402001i \(0.868315\pi\)
−0.977058 + 0.212973i \(0.931685\pi\)
\(390\) −13.4947 20.2845i −0.683331 1.02715i
\(391\) −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
\(400\) −11.6575 0.509091i −0.582874 0.0254545i
\(401\) −14.9545 20.5831i −0.746790 1.02787i −0.998199 0.0599878i \(-0.980894\pi\)
0.251409 0.967881i \(-0.419106\pi\)
\(402\) 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
\(405\) −17.3773 + 10.1503i −0.863487 + 0.504371i
\(406\) 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 −0.993637 0.112633i \(-0.964072\pi\)
0.414171 + 0.910199i \(0.364072\pi\)
\(410\) 1.17146 0.352563i 0.0578543 0.0174119i
\(411\) 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
\(415\) 2.61704 0.787626i 0.128465 0.0386630i
\(416\) −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 \(0.157821\pi\)
−0.879585 + 0.475742i \(0.842179\pi\)
\(420\) −29.9141 23.6802i −1.45966 1.15547i
\(421\) 1.31040 4.03300i 0.0638650 0.196556i −0.914033 0.405641i \(-0.867048\pi\)
0.977898 + 0.209084i \(0.0670484\pi\)
\(422\) 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
\(425\) −1.33739 + 30.6243i −0.0648729 + 1.48550i
\(426\) −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 −0.0466170 0.998913i \(-0.514844\pi\)
−0.964428 + 0.264346i \(0.914844\pi\)
\(432\) 9.37781 + 7.68799i 0.451190 + 0.369888i
\(433\) 2.14388 0.696587i 0.103028 0.0334758i −0.257049 0.966398i \(-0.582750\pi\)
0.360077 + 0.932922i \(0.382750\pi\)
\(434\) −6.76760 9.31480i −0.324855 0.447125i
\(435\) 18.1194 12.0543i 0.868758 0.577960i
\(436\) −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 \(0.0484159\pi\)
−0.988455 + 0.151517i \(0.951584\pi\)
\(440\) −1.46638 + 9.99542i −0.0699067 + 0.476513i
\(441\) 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 \(-0.962158\pi\)
0.873020 + 0.487684i \(0.162158\pi\)
\(444\) 15.9285 + 5.52041i 0.755932 + 0.261987i
\(445\) −3.14626 1.09874i −0.149147 0.0520853i
\(446\) 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 −0.231976 0.972721i \(-0.574519\pi\)
0.996798 0.0799647i \(-0.0254808\pi\)
\(450\) 2.66268 32.1762i 0.125520 1.51680i
\(451\) 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
\(455\) −19.4629 14.8001i −0.912435 0.693839i
\(456\) 4.20434 + 0.0818312i 0.196886 + 0.00383210i
\(457\) 13.0649 9.49221i 0.611150 0.444027i −0.238669 0.971101i \(-0.576711\pi\)
0.849819 + 0.527074i \(0.176711\pi\)
\(458\) 24.8308 8.06802i 1.16027 0.376994i
\(459\) 20.1964 24.6356i 0.942689 1.14989i
\(460\) −15.7802 0.344403i −0.735757 0.0160579i
\(461\) 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
\(465\) 1.92697 5.19109i 0.0893612 0.240731i
\(466\) 3.74085 + 11.5132i 0.173292 + 0.533336i
\(467\) 20.3358 14.7749i 0.941031 0.683699i −0.00763775 0.999971i \(-0.502431\pi\)
0.948669 + 0.316272i \(0.102431\pi\)
\(468\) −18.1334 14.2850i −0.838218 0.660325i
\(469\) 8.71945 2.83312i 0.402627 0.130821i
\(470\) 43.7496 13.1669i 2.01802 0.607344i
\(471\) −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
\(475\) 4.91846 + 7.43113i 0.225674 + 0.340964i
\(476\) 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 −0.333584 0.942720i \(-0.608258\pi\)
0.793497 + 0.608574i \(0.208258\pi\)
\(480\) −28.8958 + 8.08672i −1.31891 + 0.369107i
\(481\) 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 \(-0.637229\pi\)
−0.872080 + 0.489363i \(0.837229\pi\)
\(488\) 1.22229 + 3.76183i 0.0553307 + 0.170290i
\(489\) −0.780695 + 40.1107i −0.0353043 + 1.81387i
\(490\) −31.8014 11.1057i −1.43664 0.501706i
\(491\) −4.81815 14.8287i −0.217440 0.669212i −0.998971 0.0453457i \(-0.985561\pi\)
0.781531 0.623866i \(-0.214439\pi\)
\(492\) 0.950846 0.662948i 0.0428675 0.0298880i
\(493\) −20.2487 + 27.8700i −0.911958 + 1.25520i
\(494\) 11.2115 0.504431
\(495\) 21.8706 + 4.08354i 0.983012 + 0.183541i
\(496\) −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 0.999965 + 0.00834366i \(0.00265590\pi\)
−0.804085 + 0.594515i \(0.797344\pi\)
\(500\) 22.6317 + 18.8231i 1.01212 + 0.841796i
\(501\) −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 \(-0.194753\pi\)
0.324652 + 0.945834i \(0.394753\pi\)
\(504\) −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 0.284203 0.958764i \(-0.408271\pi\)
−0.333622 + 0.942707i \(0.608271\pi\)
\(510\) 13.7735 + 49.2161i 0.609902 + 2.17933i
\(511\) 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
\(515\) 0.201135 9.21583i 0.00886308 0.406098i
\(516\) −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
\(520\) 8.52442 2.56551i 0.373820 0.112505i
\(521\) 6.84744 2.22487i 0.299992 0.0974733i −0.155154 0.987890i \(-0.549587\pi\)
0.455146 + 0.890417i \(0.349587\pi\)
\(522\) 22.4533 28.5023i 0.982755 1.24751i
\(523\) 21.1158 15.3415i 0.923328 0.670837i −0.0210218 0.999779i \(-0.506692\pi\)
0.944350 + 0.328942i \(0.106692\pi\)
\(524\) −9.32725 28.7063i −0.407463 1.25404i
\(525\) −8.04959 31.3865i −0.351313 1.36982i
\(526\) 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
\(530\) −0.578353 + 26.4996i −0.0251221 + 1.15107i
\(531\) 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
\(535\) −3.06108 + 4.02549i −0.132342 + 0.174037i
\(536\) −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
\(540\) −7.09185 29.7579i −0.305185 1.28057i
\(541\) −0.856788 + 1.17927i −0.0368362 + 0.0507007i −0.827038 0.562146i \(-0.809976\pi\)
0.790202 + 0.612847i \(0.209976\pi\)
\(542\) 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
\(545\) −29.5474 10.3186i −1.26567 0.442000i
\(546\) −38.5181 13.3494i −1.64842 0.571302i
\(547\) 11.1317 34.2598i 0.475956 1.46484i −0.368708 0.929545i \(-0.620200\pi\)
0.844664 0.535297i \(-0.179800\pi\)
\(548\) 39.4616 + 28.6705i 1.68572 + 1.22474i
\(549\) 8.38318 2.36745i 0.357786 0.101040i
\(550\) −25.5006 + 24.9752i −1.08735 + 1.06495i
\(551\) 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
\(555\) 7.93027 + 11.9204i 0.336621 + 0.505991i
\(556\) −12.2424 16.8503i −0.519196 0.714611i
\(557\) −43.7447 + 14.2135i −1.85352 + 0.602246i −0.857362 + 0.514714i \(0.827898\pi\)
−0.996162 + 0.0875319i \(0.972102\pi\)
\(558\) 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 \(-0.919931\pi\)
0.536009 + 0.844213i \(0.319931\pi\)
\(564\) 35.5105 24.7586i 1.49526 1.04253i
\(565\) 2.89016 + 2.19775i 0.121590 + 0.0924601i
\(566\) 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 0.371259 + 0.928529i \(0.378926\pi\)
−0.846131 + 0.532975i \(0.821074\pi\)
\(570\) 11.6493 + 9.22167i 0.487937 + 0.386253i
\(571\) 35.7294i 1.49523i 0.664134 + 0.747614i \(0.268800\pi\)
−0.664134 + 0.747614i \(0.731200\pi\)
\(572\) 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
\(575\) −10.4909 8.34500i −0.437500 0.348010i
\(576\) −29.9470 + 20.0250i −1.24779 + 0.834376i
\(577\) −24.0939 33.1623i −1.00304 1.38057i −0.923441 0.383740i \(-0.874636\pi\)
−0.0795990 0.996827i \(-0.525364\pi\)
\(578\) −26.0440 35.8464i −1.08329 1.49101i
\(579\) −10.0310 + 28.9433i −0.416876 + 1.20284i
\(580\) 9.53379 + 31.6779i 0.395869 + 1.31535i
\(581\) 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
\(585\) −4.91525 18.9790i −0.203221 0.784686i
\(586\) −16.3501 + 50.3206i −0.675418 + 2.07872i
\(587\) 11.1939 + 34.4513i 0.462022 + 1.42196i 0.862689 + 0.505734i \(0.168778\pi\)
−0.400667 + 0.916224i \(0.631222\pi\)
\(588\) −31.9105 0.621089i −1.31597 0.0256133i
\(589\) 1.49775 + 2.06148i 0.0617137 + 0.0849416i
\(590\) 0.193697 + 0.147292i 0.00797438 + 0.00606392i
\(591\) 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 0.394997 0.918682i \(-0.370746\pi\)
−0.995780 + 0.0917761i \(0.970746\pi\)
\(600\) 10.9675 + 4.34578i 0.447744 + 0.177416i
\(601\) 38.8018 12.6075i 1.58276 0.514269i 0.619993 0.784608i \(-0.287136\pi\)
0.962765 + 0.270338i \(0.0871355\pi\)
\(602\) −66.2218 21.5168i −2.69900 0.876957i
\(603\) 6.89772 + 2.54198i 0.280897 + 0.103517i
\(604\) 14.0185i 0.570403i
\(605\) −15.3314 19.2340i −0.623310 0.781975i
\(606\) 23.6387 31.2389i 0.960256 1.26899i
\(607\) 15.2824 + 11.1033i 0.620293 + 0.450669i 0.853024 0.521872i \(-0.174766\pi\)
−0.232731 + 0.972541i \(0.574766\pi\)
\(608\) 4.26699 13.1325i 0.173049 0.532591i
\(609\) 11.9245 34.4068i 0.483206 1.39423i
\(610\) −4.60758 + 13.1939i −0.186555 + 0.534204i
\(611\) 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 0.743807 + 0.668394i \(0.233018\pi\)
−0.994625 + 0.103544i \(0.966982\pi\)
\(614\) 5.82569 8.01837i 0.235106 0.323595i
\(615\) 0.983606 + 0.0406288i 0.0396628 + 0.00163831i
\(616\) 8.17043 + 14.7981i 0.329196 + 0.596233i
\(617\) 7.20230 0.289954 0.144977 0.989435i \(-0.453689\pi\)
0.144977 + 0.989435i \(0.453689\pi\)
\(618\) −4.46387 14.7062i −0.179563 0.591570i
\(619\) 12.0091 36.9603i 0.482688 1.48556i −0.352615 0.935769i \(-0.614707\pi\)
0.835302 0.549791i \(-0.185293\pi\)
\(620\) 6.69997 + 5.09483i 0.269077 + 0.204613i
\(621\) 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
\(625\) 5.62330 + 24.3594i 0.224932 + 0.974374i
\(626\) −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
\(630\) −29.0421 45.5524i −1.15706 1.81485i
\(631\) 10.5321 + 32.4144i 0.419275 + 1.29040i 0.908371 + 0.418165i \(0.137327\pi\)
−0.489096 + 0.872230i \(0.662673\pi\)
\(632\) −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
\(635\) 13.0522 + 43.3685i 0.517961 + 1.72103i
\(636\) 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
\(640\) 0.505082 23.1424i 0.0199651 0.914783i
\(641\) 10.7142 + 3.48126i 0.423186 + 0.137501i 0.512865 0.858469i \(-0.328584\pi\)
−0.0896793 + 0.995971i \(0.528584\pi\)
\(642\) −2.76104 + 7.96665i −0.108970 + 0.314419i
\(643\) −3.97759 5.47468i −0.156861 0.215900i 0.723352 0.690479i \(-0.242600\pi\)
−0.880213 + 0.474579i \(0.842600\pi\)
\(644\) −21.3666 + 15.5237i −0.841961 + 0.611720i
\(645\) −9.02469 32.2474i −0.355347 1.26974i
\(646\) −22.3675 7.26765i −0.880038 0.285942i
\(647\) 30.2310 + 21.9641i 1.18850 + 0.863497i 0.993105 0.117227i \(-0.0374006\pi\)
0.195397 + 0.980724i \(0.437401\pi\)
\(648\) −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 \(-0.135794\pi\)
−0.979726 + 0.200343i \(0.935794\pi\)
\(654\) −52.1706 1.01542i −2.04003 0.0397062i
\(655\) 8.45160 24.2013i 0.330231 0.945622i
\(656\) −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 \(0.238549\pi\)
\(660\) −15.5959 + 30.0092i −0.607070 + 1.16811i
\(661\) −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
\(665\) 14.0773 + 4.91608i 0.545893 + 0.190637i
\(666\) 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 \(-0.332128\pi\)
−0.666311 + 0.745674i \(0.732128\pi\)
\(674\) −29.9952 9.74602i −1.15537 0.375403i
\(675\) 10.5034 23.7630i 0.404274 0.914638i
\(676\) −9.49701 + 6.89998i −0.365270 + 0.265384i
\(677\) −2.47930 3.41247i −0.0952874 0.131152i 0.758711 0.651427i \(-0.225829\pi\)
−0.853999 + 0.520275i \(0.825829\pi\)
\(678\) 5.71978 + 1.98233i 0.219667 + 0.0761310i
\(679\) −27.1068 8.80752i −1.04026 0.338002i
\(680\) −18.6696 0.407464i −0.715948 0.0156255i
\(681\) 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 \(-0.589505\pi\)
−0.277496 + 0.960727i \(0.589505\pi\)
\(684\) 13.2091 + 4.86789i 0.505064 + 0.186128i
\(685\) 11.9386 + 39.6683i 0.456150 + 1.51565i
\(686\) 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
\(690\) −20.9527 7.77781i −0.797656 0.296096i
\(691\) −27.9241 20.2881i −1.06228 0.771794i −0.0877744 0.996140i \(-0.527975\pi\)
−0.974510 + 0.224346i \(0.927975\pi\)
\(692\) 2.05943i 0.0782878i
\(693\) 33.2655 16.7120i 1.26365 0.634837i
\(694\) 19.5992 0.743975
\(695\) 0.385971 17.6848i 0.0146407 0.670824i
\(696\) 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
\(700\) 49.2076 + 2.14893i 1.85987 + 0.0812220i
\(701\) −14.2187 + 43.7608i −0.537034 + 1.65282i 0.202177 + 0.979349i \(0.435198\pi\)
−0.739212 + 0.673473i \(0.764802\pi\)
\(702\) −17.6370 27.5201i −0.665667 1.03868i
\(703\) −6.58856 −0.248492
\(704\) 39.5225 + 4.91981i 1.48956 + 0.185422i
\(705\) 36.7339 + 1.51733i 1.38348 + 0.0571461i
\(706\) 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 0.384072 0.923303i \(-0.374521\pi\)
0.996798 0.0799582i \(-0.0254787\pi\)
\(710\) 1.32301 3.78845i 0.0496516 0.142178i
\(711\) 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
\(715\) −9.61888 + 19.4230i −0.359726 + 0.726380i
\(716\) 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 −0.490574 0.871399i \(-0.663213\pi\)
0.115313 + 0.993329i \(0.463213\pi\)
\(720\) −15.6262 0.950360i −0.582354 0.0354178i
\(721\) −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
\(730\) −16.9299 + 22.2638i −0.626605 + 0.824018i
\(731\) 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 0.967457 + 0.253035i \(0.0814286\pi\)
−0.633959 + 0.773366i \(0.718571\pi\)
\(734\) −0.385408 + 1.18616i −0.0142257 + 0.0437821i
\(735\) −21.2532 16.8241i −0.783936 0.620568i
\(736\) 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 −0.645724 0.763571i \(-0.723444\pi\)
0.925739 + 0.378163i \(0.123444\pi\)
\(740\) −20.8402 + 6.27207i −0.766100 + 0.230566i
\(741\) 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 \(-0.236080\pi\)
−0.870307 + 0.492510i \(0.836080\pi\)
\(744\) 3.18726 + 1.10463i 0.116851 + 0.0404975i
\(745\) −4.33626 14.4081i −0.158868 0.527870i
\(746\) −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
\(750\) 21.5510 + 35.6775i 0.786932 + 1.30276i
\(751\) 6.97116 21.4550i 0.254381 0.782905i −0.739570 0.673080i \(-0.764971\pi\)
0.993951 0.109825i \(-0.0350290\pi\)
\(752\) −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
\(755\) 7.20649 9.47692i 0.262271 0.344901i
\(756\) −39.5848 32.4519i −1.43969 1.18026i
\(757\) 3.58874 4.93948i 0.130435 0.179528i −0.738804 0.673920i \(-0.764609\pi\)
0.869239 + 0.494392i \(0.164609\pi\)
\(758\) 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 0.917606 0.397492i \(-0.130119\pi\)
−0.0944811 + 0.995527i \(0.530119\pi\)
\(762\) 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
\(765\) −2.49661 + 41.0502i −0.0902651 + 1.48417i
\(766\) 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 \(0.136519\pi\)
−0.909429 + 0.415859i \(0.863481\pi\)
\(770\) −8.66907 + 59.0919i −0.312412 + 2.12953i
\(771\) −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 0.639260 + 0.768991i \(0.279241\pi\)
−0.969173 + 0.246379i \(0.920759\pi\)
\(774\) −31.0338 46.4104i