Properties

Label 300.2.n.a.11.1
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.1
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40873 + 0.124406i) q^{2} +(0.673811 - 1.59561i) q^{3} +(1.96905 - 0.350510i) q^{4} +(-2.20342 - 0.380687i) q^{5} +(-0.750715 + 2.33161i) q^{6} -0.0822219i q^{7} +(-2.73025 + 0.738736i) q^{8} +(-2.09196 - 2.15028i) q^{9} +O(q^{10})\) \(q+(-1.40873 + 0.124406i) q^{2} +(0.673811 - 1.59561i) q^{3} +(1.96905 - 0.350510i) q^{4} +(-2.20342 - 0.380687i) q^{5} +(-0.750715 + 2.33161i) q^{6} -0.0822219i q^{7} +(-2.73025 + 0.738736i) q^{8} +(-2.09196 - 2.15028i) q^{9} +(3.15139 + 0.262166i) q^{10} +(2.26115 - 1.64282i) q^{11} +(0.767488 - 3.37801i) q^{12} +(-3.85618 - 2.80168i) q^{13} +(0.0102289 + 0.115829i) q^{14} +(-2.09212 + 3.25930i) q^{15} +(3.75429 - 1.38034i) q^{16} +(-3.83252 + 1.24526i) q^{17} +(3.21451 + 2.76892i) q^{18} +(-2.03592 + 0.661512i) q^{19} +(-4.47208 + 0.0227314i) q^{20} +(-0.131194 - 0.0554021i) q^{21} +(-2.98097 + 2.59559i) q^{22} +(1.93558 - 1.40628i) q^{23} +(-0.660938 + 4.85419i) q^{24} +(4.71015 + 1.67763i) q^{25} +(5.78086 + 3.46707i) q^{26} +(-4.84060 + 1.88907i) q^{27} +(-0.0288196 - 0.161899i) q^{28} +(-3.40204 - 1.10539i) q^{29} +(2.54176 - 4.85175i) q^{30} +(-2.91747 + 0.947944i) q^{31} +(-5.11706 + 2.41159i) q^{32} +(-1.09772 - 4.71486i) q^{33} +(5.24407 - 2.23103i) q^{34} +(-0.0313008 + 0.181170i) q^{35} +(-4.87285 - 3.50076i) q^{36} +(-7.33089 - 5.32620i) q^{37} +(2.78577 - 1.18517i) q^{38} +(-7.06872 + 4.26516i) q^{39} +(6.29713 - 0.588377i) q^{40} +(4.77346 - 6.57011i) q^{41} +(0.191710 + 0.0617252i) q^{42} -8.76981i q^{43} +(3.87648 - 4.02734i) q^{44} +(3.79088 + 5.53437i) q^{45} +(-2.55176 + 2.22187i) q^{46} +(-0.650533 + 2.00213i) q^{47} +(0.327192 - 6.92047i) q^{48} +6.99324 q^{49} +(-6.84405 - 1.77736i) q^{50} +(-0.595441 + 6.95428i) q^{51} +(-8.57500 - 4.16500i) q^{52} +(7.15672 + 2.32536i) q^{53} +(6.58409 - 3.26339i) q^{54} +(-5.60766 + 2.75904i) q^{55} +(0.0607403 + 0.224486i) q^{56} +(-0.316312 + 3.69428i) q^{57} +(4.93007 + 1.13396i) q^{58} +(7.56329 + 5.49505i) q^{59} +(-2.97707 + 7.15102i) q^{60} +(-2.43750 + 1.77094i) q^{61} +(3.99200 - 1.69835i) q^{62} +(-0.176800 + 0.172005i) q^{63} +(6.90854 - 4.03387i) q^{64} +(7.43023 + 7.64128i) q^{65} +(2.13294 + 6.50541i) q^{66} +(12.2429 - 3.97795i) q^{67} +(-7.10993 + 3.79531i) q^{68} +(-0.939662 - 4.03599i) q^{69} +(0.0215558 - 0.259113i) q^{70} +(-1.11371 + 3.42765i) q^{71} +(7.30006 + 4.32541i) q^{72} +(-1.23678 + 0.898571i) q^{73} +(10.9899 + 6.59118i) q^{74} +(5.85060 - 6.38517i) q^{75} +(-3.77696 + 2.01616i) q^{76} +(-0.135076 - 0.185916i) q^{77} +(9.42732 - 6.88786i) q^{78} +(4.51758 + 1.46785i) q^{79} +(-8.79776 + 1.61227i) q^{80} +(-0.247436 + 8.99660i) q^{81} +(-5.90716 + 9.84936i) q^{82} +(-2.96963 - 9.13959i) q^{83} +(-0.277747 - 0.0631043i) q^{84} +(8.91872 - 1.28485i) q^{85} +(1.09102 + 12.3543i) q^{86} +(-4.05610 + 4.68351i) q^{87} +(-4.95989 + 6.15570i) q^{88} +(-6.21625 - 8.55594i) q^{89} +(-6.02884 - 7.32482i) q^{90} +(-0.230359 + 0.317062i) q^{91} +(3.31832 - 3.44747i) q^{92} +(-0.453274 + 5.29389i) q^{93} +(0.667348 - 2.90140i) q^{94} +(4.73783 - 0.682541i) q^{95} +(0.400025 + 9.78979i) q^{96} +(-2.56567 + 7.89632i) q^{97} +(-9.85159 + 0.870003i) q^{98} +(-8.26274 - 1.42540i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40873 + 0.124406i −0.996123 + 0.0879685i
\(3\) 0.673811 1.59561i 0.389025 0.921227i
\(4\) 1.96905 0.350510i 0.984523 0.175255i
\(5\) −2.20342 0.380687i −0.985401 0.170249i
\(6\) −0.750715 + 2.33161i −0.306478 + 0.951878i
\(7\) 0.0822219i 0.0310770i −0.999879 0.0155385i \(-0.995054\pi\)
0.999879 0.0155385i \(-0.00494625\pi\)
\(8\) −2.73025 + 0.738736i −0.965289 + 0.261183i
\(9\) −2.09196 2.15028i −0.697319 0.716761i
\(10\) 3.15139 + 0.262166i 0.996558 + 0.0829042i
\(11\) 2.26115 1.64282i 0.681761 0.495328i −0.192180 0.981360i \(-0.561556\pi\)
0.873941 + 0.486031i \(0.161556\pi\)
\(12\) 0.767488 3.37801i 0.221555 0.975148i
\(13\) −3.85618 2.80168i −1.06951 0.777045i −0.0936864 0.995602i \(-0.529865\pi\)
−0.975824 + 0.218557i \(0.929865\pi\)
\(14\) 0.0102289 + 0.115829i 0.00273380 + 0.0309565i
\(15\) −2.09212 + 3.25930i −0.540183 + 0.841547i
\(16\) 3.75429 1.38034i 0.938571 0.345085i
\(17\) −3.83252 + 1.24526i −0.929522 + 0.302020i −0.734367 0.678752i \(-0.762521\pi\)
−0.195155 + 0.980772i \(0.562521\pi\)
\(18\) 3.21451 + 2.76892i 0.757668 + 0.652640i
\(19\) −2.03592 + 0.661512i −0.467073 + 0.151761i −0.533092 0.846057i \(-0.678970\pi\)
0.0660193 + 0.997818i \(0.478970\pi\)
\(20\) −4.47208 + 0.0227314i −0.999987 + 0.00508290i
\(21\) −0.131194 0.0554021i −0.0286289 0.0120897i
\(22\) −2.98097 + 2.59559i −0.635545 + 0.553382i
\(23\) 1.93558 1.40628i 0.403595 0.293229i −0.367408 0.930060i \(-0.619755\pi\)
0.771004 + 0.636830i \(0.219755\pi\)
\(24\) −0.660938 + 4.85419i −0.134913 + 0.990857i
\(25\) 4.71015 + 1.67763i 0.942031 + 0.335526i
\(26\) 5.78086 + 3.46707i 1.13372 + 0.679949i
\(27\) −4.84060 + 1.88907i −0.931574 + 0.363551i
\(28\) −0.0288196 0.161899i −0.00544639 0.0305960i
\(29\) −3.40204 1.10539i −0.631742 0.205265i −0.0243955 0.999702i \(-0.507766\pi\)
−0.607347 + 0.794437i \(0.707766\pi\)
\(30\) 2.54176 4.85175i 0.464060 0.885804i
\(31\) −2.91747 + 0.947944i −0.523993 + 0.170256i −0.559057 0.829129i \(-0.688837\pi\)
0.0350636 + 0.999385i \(0.488837\pi\)
\(32\) −5.11706 + 2.41159i −0.904576 + 0.426312i
\(33\) −1.09772 4.71486i −0.191088 0.820752i
\(34\) 5.24407 2.23103i 0.899351 0.382618i
\(35\) −0.0313008 + 0.181170i −0.00529081 + 0.0306233i
\(36\) −4.87285 3.50076i −0.812142 0.583459i
\(37\) −7.33089 5.32620i −1.20519 0.875622i −0.210405 0.977614i \(-0.567478\pi\)
−0.994785 + 0.101992i \(0.967478\pi\)
\(38\) 2.78577 1.18517i 0.451912 0.192261i
\(39\) −7.06872 + 4.26516i −1.13190 + 0.682972i
\(40\) 6.29713 0.588377i 0.995663 0.0930306i
\(41\) 4.77346 6.57011i 0.745490 1.02608i −0.252794 0.967520i \(-0.581350\pi\)
0.998284 0.0585585i \(-0.0186504\pi\)
\(42\) 0.191710 + 0.0617252i 0.0295815 + 0.00952441i
\(43\) 8.76981i 1.33738i −0.743540 0.668692i \(-0.766855\pi\)
0.743540 0.668692i \(-0.233145\pi\)
\(44\) 3.87648 4.02734i 0.584401 0.607144i
\(45\) 3.79088 + 5.53437i 0.565111 + 0.825015i
\(46\) −2.55176 + 2.22187i −0.376236 + 0.327596i
\(47\) −0.650533 + 2.00213i −0.0948900 + 0.292041i −0.987225 0.159332i \(-0.949066\pi\)
0.892335 + 0.451374i \(0.149066\pi\)
\(48\) 0.327192 6.92047i 0.0472261 0.998884i
\(49\) 6.99324 0.999034
\(50\) −6.84405 1.77736i −0.967895 0.251356i
\(51\) −0.595441 + 6.95428i −0.0833785 + 0.973795i
\(52\) −8.57500 4.16500i −1.18914 0.577582i
\(53\) 7.15672 + 2.32536i 0.983051 + 0.319413i 0.756073 0.654487i \(-0.227116\pi\)
0.226978 + 0.973900i \(0.427116\pi\)
\(54\) 6.58409 3.26339i 0.895982 0.444091i
\(55\) −5.60766 + 2.75904i −0.756137 + 0.372028i
\(56\) 0.0607403 + 0.224486i 0.00811676 + 0.0299983i
\(57\) −0.316312 + 3.69428i −0.0418966 + 0.489319i
\(58\) 4.93007 + 1.13396i 0.647350 + 0.148896i
\(59\) 7.56329 + 5.49505i 0.984656 + 0.715395i 0.958744 0.284269i \(-0.0917510\pi\)
0.0259120 + 0.999664i \(0.491751\pi\)
\(60\) −2.97707 + 7.15102i −0.384338 + 0.923193i
\(61\) −2.43750 + 1.77094i −0.312089 + 0.226746i −0.732792 0.680452i \(-0.761783\pi\)
0.420703 + 0.907198i \(0.361783\pi\)
\(62\) 3.99200 1.69835i 0.506985 0.215691i
\(63\) −0.176800 + 0.172005i −0.0222748 + 0.0216706i
\(64\) 6.90854 4.03387i 0.863567 0.504234i
\(65\) 7.43023 + 7.64128i 0.921606 + 0.947784i
\(66\) 2.13294 + 6.50541i 0.262547 + 0.800760i
\(67\) 12.2429 3.97795i 1.49571 0.485984i 0.556943 0.830550i \(-0.311974\pi\)
0.938762 + 0.344566i \(0.111974\pi\)
\(68\) −7.10993 + 3.79531i −0.862206 + 0.460249i
\(69\) −0.939662 4.03599i −0.113122 0.485877i
\(70\) 0.0215558 0.259113i 0.00257641 0.0309700i
\(71\) −1.11371 + 3.42765i −0.132173 + 0.406787i −0.995140 0.0984739i \(-0.968604\pi\)
0.862966 + 0.505261i \(0.168604\pi\)
\(72\) 7.30006 + 4.32541i 0.860320 + 0.509754i
\(73\) −1.23678 + 0.898571i −0.144754 + 0.105170i −0.657805 0.753188i \(-0.728515\pi\)
0.513051 + 0.858358i \(0.328515\pi\)
\(74\) 10.9899 + 6.59118i 1.27755 + 0.766209i
\(75\) 5.85060 6.38517i 0.675570 0.737296i
\(76\) −3.77696 + 2.01616i −0.433247 + 0.231269i
\(77\) −0.135076 0.185916i −0.0153933 0.0211871i
\(78\) 9.42732 6.88786i 1.06743 0.779896i
\(79\) 4.51758 + 1.46785i 0.508268 + 0.165146i 0.551914 0.833901i \(-0.313898\pi\)
−0.0436467 + 0.999047i \(0.513898\pi\)
\(80\) −8.79776 + 1.61227i −0.983620 + 0.180257i
\(81\) −0.247436 + 8.99660i −0.0274929 + 0.999622i
\(82\) −5.90716 + 9.84936i −0.652337 + 1.08768i
\(83\) −2.96963 9.13959i −0.325960 1.00320i −0.971006 0.239057i \(-0.923162\pi\)
0.645046 0.764144i \(-0.276838\pi\)
\(84\) −0.277747 0.0631043i −0.0303046 0.00688524i
\(85\) 8.91872 1.28485i 0.967371 0.139361i
\(86\) 1.09102 + 12.3543i 0.117648 + 1.33220i
\(87\) −4.05610 + 4.68351i −0.434860 + 0.502125i
\(88\) −4.95989 + 6.15570i −0.528726 + 0.656199i
\(89\) −6.21625 8.55594i −0.658922 0.906928i 0.340524 0.940236i \(-0.389396\pi\)
−0.999445 + 0.0333083i \(0.989396\pi\)
\(90\) −6.02884 7.32482i −0.635496 0.772104i
\(91\) −0.230359 + 0.317062i −0.0241482 + 0.0332371i
\(92\) 3.31832 3.44747i 0.345959 0.359423i
\(93\) −0.453274 + 5.29389i −0.0470024 + 0.548951i
\(94\) 0.667348 2.90140i 0.0688317 0.299256i
\(95\) 4.73783 0.682541i 0.486091 0.0700272i
\(96\) 0.400025 + 9.78979i 0.0408274 + 0.999166i
\(97\) −2.56567 + 7.89632i −0.260504 + 0.801750i 0.732191 + 0.681100i \(0.238498\pi\)
−0.992695 + 0.120650i \(0.961502\pi\)
\(98\) −9.85159 + 0.870003i −0.995161 + 0.0878836i
\(99\) −8.26274 1.42540i −0.830437 0.143258i
\(100\) 9.86254 + 1.65238i 0.986254 + 0.165238i
\(101\) 12.0408i 1.19810i −0.800711 0.599050i \(-0.795545\pi\)
0.800711 0.599050i \(-0.204455\pi\)
\(102\) −0.0263401 9.87079i −0.00260806 0.977354i
\(103\) 18.4706 + 6.00148i 1.81997 + 0.591343i 0.999816 + 0.0191961i \(0.00611068\pi\)
0.820151 + 0.572147i \(0.193889\pi\)
\(104\) 12.5980 + 4.80058i 1.23534 + 0.470736i
\(105\) 0.267986 + 0.172018i 0.0261527 + 0.0167873i
\(106\) −10.3712 2.38546i −1.00734 0.231697i
\(107\) 19.5335 1.88838 0.944190 0.329402i \(-0.106847\pi\)
0.944190 + 0.329402i \(0.106847\pi\)
\(108\) −8.86923 + 5.41634i −0.853442 + 0.521187i
\(109\) 1.24224 + 0.902543i 0.118985 + 0.0864479i 0.645687 0.763603i \(-0.276571\pi\)
−0.526701 + 0.850051i \(0.676571\pi\)
\(110\) 7.55645 4.58437i 0.720479 0.437102i
\(111\) −13.4382 + 8.10840i −1.27550 + 0.769615i
\(112\) −0.113494 0.308685i −0.0107242 0.0291680i
\(113\) 9.23389 12.7094i 0.868651 1.19560i −0.110786 0.993844i \(-0.535337\pi\)
0.979437 0.201751i \(-0.0646632\pi\)
\(114\) −0.0139925 5.24360i −0.00131052 0.491108i
\(115\) −4.80025 + 2.36178i −0.447625 + 0.220237i
\(116\) −7.08622 0.984113i −0.657939 0.0913726i
\(117\) 2.04256 + 14.1529i 0.188834 + 1.30843i
\(118\) −11.3383 6.80013i −1.04377 0.626003i
\(119\) 0.102388 + 0.315117i 0.00938587 + 0.0288867i
\(120\) 3.30425 10.4442i 0.301636 0.953423i
\(121\) −0.985260 + 3.03232i −0.0895691 + 0.275665i
\(122\) 3.21346 2.79802i 0.290933 0.253321i
\(123\) −7.26693 12.0436i −0.655237 1.08594i
\(124\) −5.41237 + 2.88915i −0.486045 + 0.259453i
\(125\) −9.73981 5.48963i −0.871156 0.491007i
\(126\) 0.227666 0.264303i 0.0202821 0.0235460i
\(127\) −9.60363 13.2183i −0.852185 1.17293i −0.983377 0.181575i \(-0.941881\pi\)
0.131193 0.991357i \(-0.458119\pi\)
\(128\) −9.23043 + 6.54210i −0.815863 + 0.578246i
\(129\) −13.9932 5.90920i −1.23203 0.520276i
\(130\) −11.4178 9.84013i −1.00141 0.863037i
\(131\) −4.71724 14.5182i −0.412147 1.26846i −0.914778 0.403957i \(-0.867634\pi\)
0.502631 0.864501i \(-0.332366\pi\)
\(132\) −3.81406 8.89902i −0.331971 0.774560i
\(133\) 0.0543908 + 0.167398i 0.00471628 + 0.0145152i
\(134\) −16.7520 + 7.12695i −1.44716 + 0.615675i
\(135\) 11.3850 2.31966i 0.979868 0.199644i
\(136\) 9.54382 6.23109i 0.818376 0.534312i
\(137\) −12.4775 + 17.1739i −1.06603 + 1.46726i −0.191994 + 0.981396i \(0.561496\pi\)
−0.874034 + 0.485866i \(0.838504\pi\)
\(138\) 1.82583 + 5.56873i 0.155425 + 0.474042i
\(139\) 0.484944 + 0.667468i 0.0411324 + 0.0566139i 0.829088 0.559118i \(-0.188860\pi\)
−0.787955 + 0.615732i \(0.788860\pi\)
\(140\) 0.00186902 + 0.367703i 0.000157961 + 0.0310766i
\(141\) 2.75629 + 2.38706i 0.232122 + 0.201027i
\(142\) 1.14250 4.96719i 0.0958764 0.416838i
\(143\) −13.3220 −1.11404
\(144\) −10.8219 5.18516i −0.901827 0.432097i
\(145\) 7.07532 + 3.73075i 0.587573 + 0.309822i
\(146\) 1.63050 1.41971i 0.134941 0.117496i
\(147\) 4.71212 11.1585i 0.388649 0.920337i
\(148\) −16.3017 7.91799i −1.33999 0.650854i
\(149\) 2.64853i 0.216976i 0.994098 + 0.108488i \(0.0346010\pi\)
−0.994098 + 0.108488i \(0.965399\pi\)
\(150\) −7.44757 + 9.72284i −0.608092 + 0.793867i
\(151\) 14.9712i 1.21834i −0.793039 0.609171i \(-0.791502\pi\)
0.793039 0.609171i \(-0.208498\pi\)
\(152\) 5.06990 3.31010i 0.411223 0.268485i
\(153\) 10.6951 + 5.63597i 0.864650 + 0.455641i
\(154\) 0.213414 + 0.245101i 0.0171974 + 0.0197508i
\(155\) 6.78930 0.978078i 0.545329 0.0785611i
\(156\) −12.4237 + 10.8760i −0.994689 + 0.870773i
\(157\) −6.48646 −0.517676 −0.258838 0.965921i \(-0.583340\pi\)
−0.258838 + 0.965921i \(0.583340\pi\)
\(158\) −6.54667 1.50579i −0.520825 0.119794i
\(159\) 8.53265 9.85249i 0.676683 0.781354i
\(160\) 12.1931 3.36575i 0.963949 0.266086i
\(161\) −0.115627 0.159147i −0.00911268 0.0125425i
\(162\) −0.770663 12.7046i −0.0605490 0.998165i
\(163\) −12.4960 + 17.1993i −0.978763 + 1.34715i −0.0412703 + 0.999148i \(0.513140\pi\)
−0.937493 + 0.348004i \(0.886860\pi\)
\(164\) 7.09628 14.6100i 0.554126 1.14085i
\(165\) 0.623845 + 10.8067i 0.0485663 + 0.841302i
\(166\) 5.32044 + 12.5058i 0.412946 + 0.970637i
\(167\) 6.22266 + 19.1514i 0.481524 + 1.48198i 0.836953 + 0.547274i \(0.184334\pi\)
−0.355430 + 0.934703i \(0.615666\pi\)
\(168\) 0.399121 + 0.0543436i 0.0307928 + 0.00419270i
\(169\) 3.00348 + 9.24377i 0.231037 + 0.711059i
\(170\) −12.4042 + 2.91955i −0.951361 + 0.223919i
\(171\) 5.68150 + 2.99396i 0.434475 + 0.228954i
\(172\) −3.07391 17.2682i −0.234383 1.31669i
\(173\) −2.57632 3.54600i −0.195874 0.269597i 0.699771 0.714367i \(-0.253285\pi\)
−0.895645 + 0.444770i \(0.853285\pi\)
\(174\) 5.13130 7.10241i 0.389003 0.538432i
\(175\) 0.137938 0.387278i 0.0104271 0.0292755i
\(176\) 6.22134 9.28876i 0.468951 0.700167i
\(177\) 13.8642 8.36545i 1.04210 0.628786i
\(178\) 9.82144 + 11.2797i 0.736148 + 0.845447i
\(179\) 5.06138 15.5773i 0.378305 1.16430i −0.562917 0.826514i \(-0.690321\pi\)
0.941222 0.337789i \(-0.109679\pi\)
\(180\) 9.40427 + 9.56868i 0.700953 + 0.713207i
\(181\) −1.35207 4.16123i −0.100498 0.309302i 0.888149 0.459555i \(-0.151991\pi\)
−0.988648 + 0.150253i \(0.951991\pi\)
\(182\) 0.285070 0.475313i 0.0211308 0.0352326i
\(183\) 1.18333 + 5.08258i 0.0874741 + 0.375715i
\(184\) −4.24574 + 5.26937i −0.313000 + 0.388463i
\(185\) 14.1254 + 14.5267i 1.03852 + 1.06802i
\(186\) −0.0200512 7.51405i −0.00147022 0.550957i
\(187\) −6.62015 + 9.11185i −0.484113 + 0.666324i
\(188\) −0.579161 + 4.17031i −0.0422397 + 0.304151i
\(189\) 0.155323 + 0.398004i 0.0112981 + 0.0289505i
\(190\) −6.58942 + 1.55093i −0.478047 + 0.112516i
\(191\) −13.2471 9.62455i −0.958523 0.696408i −0.00571595 0.999984i \(-0.501819\pi\)
−0.952807 + 0.303576i \(0.901819\pi\)
\(192\) −1.78144 13.7414i −0.128564 0.991701i
\(193\) 8.27842 0.595894 0.297947 0.954582i \(-0.403698\pi\)
0.297947 + 0.954582i \(0.403698\pi\)
\(194\) 2.63199 11.4430i 0.188966 0.821558i
\(195\) 17.1991 6.70698i 1.23165 0.480297i
\(196\) 13.7700 2.45120i 0.983572 0.175086i
\(197\) −11.6056 3.77088i −0.826864 0.268664i −0.135140 0.990827i \(-0.543148\pi\)
−0.691724 + 0.722162i \(0.743148\pi\)
\(198\) 11.8173 + 0.980066i 0.839820 + 0.0696503i
\(199\) 21.9186i 1.55377i 0.629642 + 0.776885i \(0.283201\pi\)
−0.629642 + 0.776885i \(0.716799\pi\)
\(200\) −14.0992 1.10079i −0.996966 0.0778377i
\(201\) 1.90212 22.2153i 0.134165 1.56694i
\(202\) 1.49795 + 16.9622i 0.105395 + 1.19346i
\(203\) −0.0908872 + 0.279722i −0.00637903 + 0.0196326i
\(204\) 1.26509 + 13.9020i 0.0885744 + 0.973336i
\(205\) −13.0191 + 12.6595i −0.909295 + 0.884181i
\(206\) −26.7668 6.15660i −1.86493 0.428951i
\(207\) −7.07304 1.22016i −0.491610 0.0848072i
\(208\) −18.3444 5.19545i −1.27196 0.360240i
\(209\) −3.51678 + 4.84043i −0.243261 + 0.334819i
\(210\) −0.398920 0.208988i −0.0275281 0.0144216i
\(211\) −0.373295 0.513796i −0.0256987 0.0353712i 0.795974 0.605330i \(-0.206959\pi\)
−0.821673 + 0.569959i \(0.806959\pi\)
\(212\) 14.9070 + 2.07024i 1.02381 + 0.142184i
\(213\) 4.71877 + 4.08664i 0.323325 + 0.280012i
\(214\) −27.5175 + 2.43010i −1.88106 + 0.166118i
\(215\) −3.33856 + 19.3236i −0.227688 + 1.31786i
\(216\) 11.8205 8.73355i 0.804286 0.594243i
\(217\) 0.0779418 + 0.239880i 0.00529103 + 0.0162841i
\(218\) −1.86227 1.11690i −0.126129 0.0756458i
\(219\) 0.600416 + 2.57888i 0.0405724 + 0.174265i
\(220\) −10.0747 + 7.39821i −0.679235 + 0.498787i
\(221\) 18.2677 + 5.93553i 1.22882 + 0.399267i
\(222\) 17.9221 13.0943i 1.20285 0.878835i
\(223\) 5.21478 + 7.17752i 0.349207 + 0.480643i 0.947102 0.320932i \(-0.103996\pi\)
−0.597895 + 0.801574i \(0.703996\pi\)
\(224\) 0.198285 + 0.420734i 0.0132485 + 0.0281115i
\(225\) −6.24606 13.6377i −0.416404 0.909180i
\(226\) −11.4269 + 19.0528i −0.760109 + 1.26737i
\(227\) −7.25355 + 5.27002i −0.481435 + 0.349783i −0.801881 0.597484i \(-0.796167\pi\)
0.320446 + 0.947267i \(0.396167\pi\)
\(228\) 0.672048 + 7.38508i 0.0445075 + 0.489089i
\(229\) 1.33779 4.11730i 0.0884039 0.272079i −0.897075 0.441879i \(-0.854312\pi\)
0.985479 + 0.169800i \(0.0543121\pi\)
\(230\) 6.46844 3.92429i 0.426516 0.258760i
\(231\) −0.387665 + 0.0902563i −0.0255065 + 0.00593843i
\(232\) 10.1050 + 0.504781i 0.663426 + 0.0331405i
\(233\) 1.93299 0.628067i 0.126635 0.0411461i −0.245014 0.969520i \(-0.578793\pi\)
0.371649 + 0.928373i \(0.378793\pi\)
\(234\) −4.63812 19.6835i −0.303203 1.28675i
\(235\) 2.19559 4.16390i 0.143224 0.271623i
\(236\) 16.8185 + 8.16900i 1.09479 + 0.531757i
\(237\) 5.38612 6.21925i 0.349866 0.403984i
\(238\) −0.183439 0.431177i −0.0118906 0.0279491i
\(239\) −9.84559 + 7.15324i −0.636858 + 0.462704i −0.858769 0.512362i \(-0.828770\pi\)
0.221911 + 0.975067i \(0.428770\pi\)
\(240\) −3.35548 + 15.1242i −0.216595 + 0.976262i
\(241\) −16.5433 12.0194i −1.06565 0.774238i −0.0905221 0.995894i \(-0.528854\pi\)
−0.975125 + 0.221657i \(0.928854\pi\)
\(242\) 1.01073 4.39429i 0.0649720 0.282476i
\(243\) 14.1884 + 6.45682i 0.910183 + 0.414205i
\(244\) −4.17881 + 4.34144i −0.267521 + 0.277932i
\(245\) −15.4091 2.66224i −0.984449 0.170084i
\(246\) 11.7355 + 16.0622i 0.748225 + 1.02409i
\(247\) 9.70422 + 3.15309i 0.617465 + 0.200626i
\(248\) 7.26515 4.74337i 0.461337 0.301204i
\(249\) −16.5842 1.41998i −1.05098 0.0899874i
\(250\) 14.4037 + 6.52171i 0.910971 + 0.412469i
\(251\) −0.315067 −0.0198868 −0.00994342 0.999951i \(-0.503165\pi\)
−0.00994342 + 0.999951i \(0.503165\pi\)
\(252\) −0.287839 + 0.400655i −0.0181321 + 0.0252389i
\(253\) 2.06636 6.35960i 0.129911 0.399825i
\(254\) 15.1734 + 17.4262i 0.952062 + 1.09342i
\(255\) 3.95942 15.0966i 0.247948 0.945383i
\(256\) 12.1893 10.3644i 0.761832 0.647774i
\(257\) 3.29754i 0.205695i −0.994697 0.102847i \(-0.967205\pi\)
0.994697 0.102847i \(-0.0327953\pi\)
\(258\) 20.4478 + 6.58363i 1.27303 + 0.409879i
\(259\) −0.437931 + 0.602760i −0.0272117 + 0.0374537i
\(260\) 17.3088 + 12.4417i 1.07345 + 0.771599i
\(261\) 4.74001 + 9.62777i 0.293399 + 0.595944i
\(262\) 8.45147 + 19.8653i 0.522134 + 1.22729i
\(263\) 3.85860 + 2.80344i 0.237931 + 0.172867i 0.700361 0.713789i \(-0.253022\pi\)
−0.462430 + 0.886656i \(0.653022\pi\)
\(264\) 6.48008 + 12.0618i 0.398821 + 0.742354i
\(265\) −14.8840 7.84822i −0.914320 0.482112i
\(266\) −0.0974473 0.229052i −0.00597488 0.0140441i
\(267\) −17.8405 + 4.15364i −1.09182 + 0.254199i
\(268\) 22.7125 12.1240i 1.38739 0.740592i
\(269\) 1.52190 0.494495i 0.0927918 0.0301499i −0.262253 0.964999i \(-0.584466\pi\)
0.355045 + 0.934849i \(0.384466\pi\)
\(270\) −15.7499 + 4.68415i −0.958507 + 0.285068i
\(271\) −18.1696 5.90365i −1.10372 0.358621i −0.300189 0.953880i \(-0.597050\pi\)
−0.803534 + 0.595259i \(0.797050\pi\)
\(272\) −12.6695 + 9.96525i −0.768200 + 0.604232i
\(273\) 0.350690 + 0.581204i 0.0212247 + 0.0351761i
\(274\) 15.4410 25.7456i 0.932822 1.55535i
\(275\) 13.4064 3.94456i 0.808436 0.237866i
\(276\) −3.26489 7.61770i −0.196523 0.458532i
\(277\) 23.3083 16.9344i 1.40046 1.01749i 0.405834 0.913947i \(-0.366981\pi\)
0.994625 0.103545i \(-0.0330187\pi\)
\(278\) −0.766193 0.879953i −0.0459532 0.0527761i
\(279\) 8.14157 + 4.29033i 0.487423 + 0.256855i
\(280\) −0.0483775 0.517762i −0.00289111 0.0309422i
\(281\) −14.4037 + 4.68005i −0.859253 + 0.279188i −0.705316 0.708893i \(-0.749195\pi\)
−0.153936 + 0.988081i \(0.549195\pi\)
\(282\) −4.17984 3.01982i −0.248906 0.179828i
\(283\) −7.00016 + 2.27449i −0.416116 + 0.135204i −0.509590 0.860417i \(-0.670203\pi\)
0.0934737 + 0.995622i \(0.470203\pi\)
\(284\) −0.991523 + 7.13957i −0.0588361 + 0.423656i
\(285\) 2.10334 8.01965i 0.124591 0.475043i
\(286\) 18.7671 1.65734i 1.10972 0.0980007i
\(287\) −0.540207 0.392483i −0.0318874 0.0231676i
\(288\) 15.8902 + 5.95819i 0.936342 + 0.351089i
\(289\) −0.615764 + 0.447379i −0.0362214 + 0.0263164i
\(290\) −10.4314 4.37541i −0.612550 0.256933i
\(291\) 10.8707 + 9.41445i 0.637251 + 0.551885i
\(292\) −2.12031 + 2.20283i −0.124082 + 0.128911i
\(293\) 10.2253i 0.597370i 0.954352 + 0.298685i \(0.0965480\pi\)
−0.954352 + 0.298685i \(0.903452\pi\)
\(294\) −5.24993 + 16.3055i −0.306182 + 0.950958i
\(295\) −14.5732 14.9872i −0.848487 0.872587i
\(296\) 23.9498 + 9.12627i 1.39205 + 0.530454i
\(297\) −7.84191 + 12.2237i −0.455034 + 0.709290i
\(298\) −0.329494 3.73107i −0.0190871 0.216135i
\(299\) −11.4039 −0.659502
\(300\) 9.28204 14.6234i 0.535899 0.844282i
\(301\) −0.721071 −0.0415618
\(302\) 1.86252 + 21.0904i 0.107176 + 1.21362i
\(303\) −19.2124 8.11320i −1.10372 0.466091i
\(304\) −6.73033 + 5.29377i −0.386011 + 0.303619i
\(305\) 6.04501 2.97422i 0.346136 0.170303i
\(306\) −15.7677 6.60902i −0.901380 0.377813i
\(307\) 7.46889i 0.426272i 0.977023 + 0.213136i \(0.0683677\pi\)
−0.977023 + 0.213136i \(0.931632\pi\)
\(308\) −0.331136 0.318731i −0.0188682 0.0181614i
\(309\) 22.0218 25.4281i 1.25277 1.44656i
\(310\) −9.44261 + 2.22248i −0.536304 + 0.126228i
\(311\) 1.58882 1.15434i 0.0900937 0.0654569i −0.541827 0.840490i \(-0.682267\pi\)
0.631920 + 0.775033i \(0.282267\pi\)
\(312\) 16.1486 16.8669i 0.914232 0.954899i
\(313\) 7.60934 + 5.52851i 0.430105 + 0.312490i 0.781691 0.623666i \(-0.214357\pi\)
−0.351586 + 0.936156i \(0.614357\pi\)
\(314\) 9.13768 0.806956i 0.515669 0.0455392i
\(315\) 0.455046 0.311694i 0.0256390 0.0175619i
\(316\) 9.40982 + 1.30681i 0.529344 + 0.0735138i
\(317\) 15.7657 5.12259i 0.885490 0.287713i 0.169255 0.985572i \(-0.445864\pi\)
0.716235 + 0.697859i \(0.245864\pi\)
\(318\) −10.7945 + 14.9410i −0.605325 + 0.837851i
\(319\) −9.50845 + 3.08948i −0.532371 + 0.172978i
\(320\) −16.7581 + 6.25833i −0.936805 + 0.349851i
\(321\) 13.1619 31.1680i 0.734627 1.73963i
\(322\) 0.182686 + 0.209810i 0.0101807 + 0.0116923i
\(323\) 6.97896 5.07051i 0.388320 0.282131i
\(324\) 2.66618 + 17.8014i 0.148121 + 0.988969i
\(325\) −13.4630 19.6656i −0.746793 1.09085i
\(326\) 15.4638 25.7838i 0.856462 1.42803i
\(327\) 2.27715 1.37400i 0.125927 0.0759821i
\(328\) −8.17918 + 21.4644i −0.451619 + 1.18517i
\(329\) 0.164619 + 0.0534881i 0.00907576 + 0.00294889i
\(330\) −2.22325 15.1462i −0.122386 0.833769i
\(331\) 21.0227 6.83070i 1.15551 0.375449i 0.332296 0.943175i \(-0.392177\pi\)
0.823218 + 0.567726i \(0.192177\pi\)
\(332\) −9.05086 16.9554i −0.496731 0.930548i
\(333\) 3.88306 + 26.9057i 0.212790 + 1.47442i
\(334\) −11.1486 26.2050i −0.610024 1.43387i
\(335\) −28.4906 + 4.10441i −1.55661 + 0.224248i
\(336\) −0.569015 0.0269023i −0.0310423 0.00146764i
\(337\) −17.9878 13.0689i −0.979859 0.711909i −0.0221815 0.999754i \(-0.507061\pi\)
−0.957677 + 0.287845i \(0.907061\pi\)
\(338\) −5.38108 12.6483i −0.292692 0.687978i
\(339\) −14.0573 23.2974i −0.763488 1.26534i
\(340\) 17.1110 5.65602i 0.927975 0.306741i
\(341\) −5.03953 + 6.93631i −0.272906 + 0.375622i
\(342\) −8.37617 3.51087i −0.452932 0.189846i
\(343\) 1.15055i 0.0621239i
\(344\) 6.47858 + 23.9438i 0.349301 + 1.29096i
\(345\) 0.534021 + 9.25072i 0.0287507 + 0.498042i
\(346\) 4.07048 + 4.67485i 0.218830 + 0.251321i
\(347\) −0.624538 + 1.92213i −0.0335270 + 0.103185i −0.966420 0.256969i \(-0.917276\pi\)
0.932893 + 0.360155i \(0.117276\pi\)
\(348\) −6.34504 + 10.6437i −0.340130 + 0.570565i
\(349\) −5.02428 −0.268944 −0.134472 0.990917i \(-0.542934\pi\)
−0.134472 + 0.990917i \(0.542934\pi\)
\(350\) −0.146138 + 0.562731i −0.00781139 + 0.0300792i
\(351\) 23.9588 + 6.27723i 1.27882 + 0.335054i
\(352\) −7.60861 + 13.8593i −0.405540 + 0.738705i
\(353\) 8.70024 + 2.82688i 0.463067 + 0.150460i 0.531253 0.847213i \(-0.321721\pi\)
−0.0681864 + 0.997673i \(0.521721\pi\)
\(354\) −18.4902 + 13.5095i −0.982744 + 0.718020i
\(355\) 3.75884 7.12860i 0.199499 0.378347i
\(356\) −15.2390 14.6682i −0.807667 0.777412i
\(357\) 0.571795 + 0.0489583i 0.0302626 + 0.00259115i
\(358\) −5.19220 + 22.5739i −0.274416 + 1.19307i
\(359\) 10.7840 + 7.83505i 0.569159 + 0.413518i 0.834800 0.550554i \(-0.185583\pi\)
−0.265641 + 0.964072i \(0.585583\pi\)
\(360\) −14.4385 12.3097i −0.760975 0.648781i
\(361\) −11.6639 + 8.47434i −0.613891 + 0.446018i
\(362\) 2.42238 + 5.69385i 0.127317 + 0.299262i
\(363\) 4.17452 + 3.61530i 0.219106 + 0.189754i
\(364\) −0.342454 + 0.705053i −0.0179495 + 0.0369548i
\(365\) 3.06722 1.50911i 0.160546 0.0789903i
\(366\) −2.29930 7.01277i −0.120186 0.366564i
\(367\) 24.7528 8.04268i 1.29209 0.419824i 0.419265 0.907864i \(-0.362288\pi\)
0.872822 + 0.488040i \(0.162288\pi\)
\(368\) 5.32556 7.95132i 0.277614 0.414491i
\(369\) −24.1135 + 3.48008i −1.25530 + 0.181166i
\(370\) −21.7061 18.7069i −1.12845 0.972523i
\(371\) 0.191195 0.588439i 0.00992637 0.0305502i
\(372\) 0.963042 + 10.5828i 0.0499314 + 0.548692i
\(373\) 8.12792 5.90528i 0.420848 0.305764i −0.357131 0.934054i \(-0.616245\pi\)
0.777979 + 0.628291i \(0.216245\pi\)
\(374\) 8.19243 13.6597i 0.423621 0.706328i
\(375\) −15.3221 + 11.8420i −0.791231 + 0.611518i
\(376\) 0.297069 5.94690i 0.0153202 0.306688i
\(377\) 10.0219 + 13.7940i 0.516154 + 0.710426i
\(378\) −0.268322 0.541357i −0.0138010 0.0278444i
\(379\) −19.9962 6.49717i −1.02714 0.333737i −0.253480 0.967341i \(-0.581575\pi\)
−0.773658 + 0.633604i \(0.781575\pi\)
\(380\) 9.08977 3.00461i 0.466296 0.154133i
\(381\) −27.5623 + 6.41706i −1.41206 + 0.328756i
\(382\) 19.8589 + 11.9104i 1.01607 + 0.609388i
\(383\) −5.78085 17.7916i −0.295387 0.909109i −0.983091 0.183118i \(-0.941381\pi\)
0.687704 0.725992i \(-0.258619\pi\)
\(384\) 4.21909 + 19.1363i 0.215304 + 0.976547i
\(385\) 0.226853 + 0.461073i 0.0115615 + 0.0234984i
\(386\) −11.6621 + 1.02989i −0.593584 + 0.0524199i
\(387\) −18.8576 + 18.3461i −0.958585 + 0.932583i
\(388\) −2.28418 + 16.4475i −0.115962 + 0.834996i
\(389\) 11.8655 + 16.3314i 0.601603 + 0.828036i 0.995854 0.0909670i \(-0.0289958\pi\)
−0.394251 + 0.919003i \(0.628996\pi\)
\(390\) −23.3945 + 11.5880i −1.18463 + 0.586782i
\(391\) −5.66695 + 7.79988i −0.286590 + 0.394457i
\(392\) −19.0933 + 5.16616i −0.964357 + 0.260930i
\(393\) −26.3439 2.25562i −1.32887 0.113781i
\(394\) 16.8183 + 3.86835i 0.847292 + 0.194885i
\(395\) −9.39535 4.95408i −0.472732 0.249267i
\(396\) −16.7693 + 0.0894982i −0.842691 + 0.00449745i
\(397\) −1.91674 + 5.89913i −0.0961986 + 0.296069i −0.987564 0.157216i \(-0.949748\pi\)
0.891366 + 0.453285i \(0.149748\pi\)
\(398\) −2.72682 30.8775i −0.136683 1.54775i
\(399\) 0.303751 + 0.0260078i 0.0152066 + 0.00130202i
\(400\) 19.9990 0.203313i 0.999948 0.0101657i
\(401\) 20.5073i 1.02408i −0.858960 0.512042i \(-0.828889\pi\)
0.858960 0.512042i \(-0.171111\pi\)
\(402\) 0.0841427 + 31.5320i 0.00419666 + 1.57267i
\(403\) 13.9061 + 4.51837i 0.692713 + 0.225076i
\(404\) −4.22041 23.7088i −0.209973 1.17956i
\(405\) 3.97010 19.7291i 0.197276 0.980348i
\(406\) 0.0932364 0.405360i 0.00462724 0.0201177i
\(407\) −25.3262 −1.25537
\(408\) −3.51168 19.4268i −0.173854 0.961771i
\(409\) 2.02333 + 1.47003i 0.100047 + 0.0726885i 0.636684 0.771125i \(-0.280306\pi\)
−0.536637 + 0.843813i \(0.680306\pi\)
\(410\) 16.7655 19.4535i 0.827990 0.960742i
\(411\) 18.9953 + 31.4813i 0.936970 + 1.55286i
\(412\) 38.4731 + 5.34304i 1.89544 + 0.263233i
\(413\) 0.451814 0.621868i 0.0222323 0.0306001i
\(414\) 10.1158 + 0.838952i 0.497165 + 0.0412322i
\(415\) 3.06403 + 21.2689i 0.150408 + 1.04405i
\(416\) 26.4887 + 5.03683i 1.29872 + 0.246951i
\(417\) 1.39178 0.324035i 0.0681558 0.0158681i
\(418\) 4.35201 7.25637i 0.212864 0.354921i
\(419\) 4.74511 + 14.6040i 0.231814 + 0.713450i 0.997528 + 0.0702689i \(0.0223857\pi\)
−0.765714 + 0.643181i \(0.777614\pi\)
\(420\) 0.587971 + 0.244780i 0.0286900 + 0.0119440i
\(421\) 5.77668 17.7788i 0.281538 0.866486i −0.705877 0.708335i \(-0.749447\pi\)
0.987415 0.158151i \(-0.0505533\pi\)
\(422\) 0.589792 + 0.677361i 0.0287106 + 0.0329734i
\(423\) 5.66604 2.78955i 0.275492 0.135632i
\(424\) −21.2575 1.06189i −1.03235 0.0515698i
\(425\) −20.1408 0.564180i −0.976974 0.0273668i
\(426\) −7.15588 5.16994i −0.346704 0.250484i
\(427\) 0.145610 + 0.200416i 0.00704658 + 0.00969879i
\(428\) 38.4625 6.84670i 1.85915 0.330948i
\(429\) −8.97653 + 21.2568i −0.433391 + 1.02629i
\(430\) 2.29915 27.6371i 0.110875 1.33278i
\(431\) 3.05905 + 9.41480i 0.147349 + 0.453495i 0.997306 0.0733583i \(-0.0233717\pi\)
−0.849956 + 0.526853i \(0.823372\pi\)
\(432\) −15.5654 + 13.7738i −0.748893 + 0.662691i
\(433\) −1.93188 5.94571i −0.0928401 0.285733i 0.893845 0.448377i \(-0.147998\pi\)
−0.986685 + 0.162644i \(0.947998\pi\)
\(434\) −0.139642 0.328230i −0.00670301 0.0157555i
\(435\) 10.7203 8.77564i 0.513997 0.420760i
\(436\) 2.76239 + 1.34173i 0.132294 + 0.0642572i
\(437\) −3.01042 + 4.14348i −0.144008 + 0.198210i
\(438\) −1.16665 3.55826i −0.0557449 0.170020i
\(439\) 12.2442 + 16.8527i 0.584384 + 0.804335i 0.994167 0.107847i \(-0.0343958\pi\)
−0.409784 + 0.912183i \(0.634396\pi\)
\(440\) 13.2721 11.6754i 0.632724 0.556605i
\(441\) −14.6296 15.0374i −0.696645 0.716069i
\(442\) −26.4727 6.08895i −1.25918 0.289622i
\(443\) −16.6148 −0.789392 −0.394696 0.918812i \(-0.629150\pi\)
−0.394696 + 0.918812i \(0.629150\pi\)
\(444\) −23.6183 + 20.6760i −1.12088 + 0.981241i
\(445\) 10.4399 + 21.2188i 0.494899 + 1.00587i
\(446\) −8.23915 9.46245i −0.390135 0.448060i
\(447\) 4.22603 + 1.78461i 0.199885 + 0.0844093i
\(448\) −0.331672 0.568033i −0.0156701 0.0268371i
\(449\) 6.28383i 0.296552i 0.988946 + 0.148276i \(0.0473725\pi\)
−0.988946 + 0.148276i \(0.952628\pi\)
\(450\) 10.4956 + 18.4348i 0.494769 + 0.869025i
\(451\) 22.6979i 1.06880i
\(452\) 13.7272 28.2619i 0.645673 1.32933i
\(453\) −23.8883 10.0878i −1.12237 0.473965i
\(454\) 9.56268 8.32642i 0.448799 0.390778i
\(455\) 0.628280 0.610928i 0.0294542 0.0286407i
\(456\) −1.86548 10.3200i −0.0873593 0.483277i
\(457\) 36.2884 1.69750 0.848750 0.528794i \(-0.177355\pi\)
0.848750 + 0.528794i \(0.177355\pi\)
\(458\) −1.37237 + 5.96660i −0.0641268 + 0.278801i
\(459\) 16.1993 13.2677i 0.756119 0.619283i
\(460\) −8.62408 + 6.33298i −0.402100 + 0.295277i
\(461\) 17.2404 + 23.7294i 0.802965 + 1.10519i 0.992371 + 0.123288i \(0.0393439\pi\)
−0.189406 + 0.981899i \(0.560656\pi\)
\(462\) 0.534887 0.175375i 0.0248852 0.00815917i
\(463\) 11.7805 16.2144i 0.547485 0.753549i −0.442183 0.896925i \(-0.645796\pi\)
0.989668 + 0.143376i \(0.0457958\pi\)
\(464\) −14.2980 + 0.546025i −0.663769 + 0.0253486i
\(465\) 3.01407 11.4921i 0.139774 0.532934i
\(466\) −2.64493 + 1.12525i −0.122524 + 0.0521264i
\(467\) −4.60747 14.1803i −0.213208 0.656188i −0.999276 0.0380475i \(-0.987886\pi\)
0.786067 0.618141i \(-0.212114\pi\)
\(468\) 8.98260 + 27.1517i 0.415221 + 1.25509i
\(469\) −0.327075 1.00663i −0.0151029 0.0464820i
\(470\) −2.57498 + 6.13896i −0.118775 + 0.283169i
\(471\) −4.37065 + 10.3499i −0.201389 + 0.476897i
\(472\) −24.7091 9.41559i −1.13733 0.433388i
\(473\) −14.4072 19.8298i −0.662444 0.911776i
\(474\) −6.81388 + 9.43132i −0.312972 + 0.433195i
\(475\) −10.6993 0.299706i −0.490917 0.0137514i
\(476\) 0.312058 + 0.584592i 0.0143031 + 0.0267947i
\(477\) −9.97136 20.2535i −0.456557 0.927345i
\(478\) 12.9799 11.3018i 0.593686 0.516934i
\(479\) 0.851191 2.61970i 0.0388919 0.119697i −0.929726 0.368253i \(-0.879956\pi\)
0.968618 + 0.248556i \(0.0799560\pi\)
\(480\) 2.84542 21.7233i 0.129875 0.991530i
\(481\) 13.3469 + 41.0775i 0.608566 + 1.87297i
\(482\) 24.8003 + 14.8740i 1.12962 + 0.677493i
\(483\) −0.331847 + 0.0772608i −0.0150996 + 0.00351549i
\(484\) −0.877164 + 6.31612i −0.0398711 + 0.287096i
\(485\) 8.65929 16.4222i 0.393198 0.745695i
\(486\) −20.7908 7.33080i −0.943092 0.332532i
\(487\) 14.5777 20.0645i 0.660580 0.909211i −0.338920 0.940815i \(-0.610062\pi\)
0.999500 + 0.0316045i \(0.0100617\pi\)
\(488\) 5.34671 6.63579i 0.242034 0.300388i
\(489\) 19.0234 + 31.5279i 0.860270 + 1.42574i
\(490\) 22.0384 + 1.83339i 0.995595 + 0.0828241i
\(491\) 12.2246 + 8.88168i 0.551688 + 0.400825i 0.828407 0.560126i \(-0.189247\pi\)
−0.276720 + 0.960951i \(0.589247\pi\)
\(492\) −18.5303 21.1673i −0.835412 0.954295i
\(493\) 14.4149 0.649213
\(494\) −14.0629 3.23459i −0.632720 0.145531i
\(495\) 17.6637 + 6.28628i 0.793924 + 0.282547i
\(496\) −9.64453 + 7.58596i −0.433052 + 0.340619i
\(497\) 0.281828 + 0.0915715i 0.0126417 + 0.00410754i
\(498\) 23.5393 0.0628145i 1.05482 0.00281478i
\(499\) 30.5698i 1.36849i −0.729251 0.684246i \(-0.760131\pi\)
0.729251 0.684246i \(-0.239869\pi\)
\(500\) −21.1023 7.39543i −0.943724 0.330734i
\(501\) 34.7510 + 2.97546i 1.55256 + 0.132934i
\(502\) 0.443844 0.0391963i 0.0198097 0.00174942i
\(503\) −10.7048 + 32.9460i −0.477303 + 1.46899i 0.365523 + 0.930802i \(0.380890\pi\)
−0.842826 + 0.538186i \(0.819110\pi\)
\(504\) 0.355643 0.600225i 0.0158416 0.0267361i
\(505\) −4.58377 + 26.5309i −0.203975 + 1.18061i
\(506\) −2.11977 + 9.21603i −0.0942353 + 0.409703i
\(507\) 16.7732 + 1.43616i 0.744926 + 0.0637822i
\(508\) −23.5431 22.6612i −1.04456 1.00543i
\(509\) −5.64708 + 7.77254i −0.250303 + 0.344512i −0.915617 0.402051i \(-0.868297\pi\)
0.665315 + 0.746563i \(0.268297\pi\)
\(510\) −3.69965 + 21.7596i −0.163823 + 0.963530i
\(511\) 0.0738822 + 0.101690i 0.00326836 + 0.00449851i
\(512\) −15.8821 + 16.1171i −0.701895 + 0.712280i
\(513\) 8.60546 7.04811i 0.379940 0.311182i
\(514\) 0.410234 + 4.64534i 0.0180947 + 0.204897i
\(515\) −38.4140 20.2553i −1.69272 0.892557i
\(516\) −29.6245 6.73072i −1.30415 0.296304i
\(517\) 1.81819 + 5.59582i 0.0799641 + 0.246104i
\(518\) 0.541939 0.903607i 0.0238114 0.0397022i
\(519\) −7.39399 + 1.72147i −0.324560 + 0.0755642i
\(520\) −25.9313 15.3736i −1.13716 0.674178i
\(521\) −6.92987 2.25165i −0.303603 0.0986467i 0.153254 0.988187i \(-0.451025\pi\)
−0.456857 + 0.889540i \(0.651025\pi\)
\(522\) −7.87516 12.9732i −0.344686 0.567823i
\(523\) −2.74254 3.77479i −0.119923 0.165060i 0.744835 0.667249i \(-0.232528\pi\)
−0.864758 + 0.502189i \(0.832528\pi\)
\(524\) −14.3772 26.9335i −0.628072 1.17660i
\(525\) −0.525001 0.481048i −0.0229129 0.0209947i
\(526\) −5.78449 3.46925i −0.252216 0.151267i
\(527\) 10.0008 7.26602i 0.435643 0.316513i
\(528\) −10.6293 16.1857i −0.462579 0.704393i
\(529\) −5.33856 + 16.4304i −0.232111 + 0.714365i
\(530\) 21.9440 + 9.20436i 0.953186 + 0.399812i
\(531\) −4.00616 27.7586i −0.173852 1.20462i
\(532\) 0.165772 + 0.310549i 0.00718715 + 0.0134640i
\(533\) −36.8146 + 11.9618i −1.59462 + 0.518123i
\(534\) 24.6158 8.07084i 1.06523 0.349259i
\(535\) −43.0407 7.43617i −1.86081 0.321494i
\(536\) −30.4875 + 19.9051i −1.31686 + 0.859768i
\(537\) −21.4449 18.5722i −0.925417 0.801448i
\(538\) −2.08243 + 0.885944i −0.0897798 + 0.0381957i
\(539\) 15.8127 11.4886i 0.681103 0.494850i
\(540\) 21.6046 8.55808i 0.929714 0.368281i
\(541\) −1.99675 1.45073i −0.0858471 0.0623716i 0.544034 0.839063i \(-0.316896\pi\)
−0.629881 + 0.776692i \(0.716896\pi\)
\(542\) 26.3305 + 6.05625i 1.13099 + 0.260138i
\(543\) −7.55074 0.646511i −0.324033 0.0277445i
\(544\) 16.6082 15.6145i 0.712069 0.669467i
\(545\) −2.39360 2.46159i −0.102531 0.105443i
\(546\) −0.566333 0.775132i −0.0242368 0.0331726i
\(547\) 16.6404 + 5.40680i 0.711493 + 0.231178i 0.642331 0.766427i \(-0.277967\pi\)
0.0691620 + 0.997605i \(0.477967\pi\)
\(548\) −18.5492 + 38.1896i −0.792384 + 1.63138i
\(549\) 8.90717 + 1.53657i 0.380149 + 0.0655791i
\(550\) −18.3953 + 7.22467i −0.784377 + 0.308061i
\(551\) 7.65751 0.326221
\(552\) 5.54705 + 10.3251i 0.236098 + 0.439466i
\(553\) 0.120690 0.371444i 0.00513224 0.0157954i
\(554\) −30.7283 + 26.7558i −1.30552 + 1.13674i
\(555\) 32.6968 12.7505i 1.38790 0.541228i
\(556\) 1.18883 + 1.14430i 0.0504177 + 0.0485291i
\(557\) 30.9896i 1.31307i −0.754295 0.656535i \(-0.772021\pi\)
0.754295 0.656535i \(-0.227979\pi\)
\(558\) −12.0030 5.03106i −0.508129 0.212982i
\(559\) −24.5702 + 33.8179i −1.03921 + 1.43035i
\(560\) 0.132564 + 0.723369i 0.00560184 + 0.0305679i
\(561\) 10.0782 + 16.7029i 0.425504 + 0.705195i
\(562\) 19.7087 8.38484i 0.831362 0.353693i
\(563\) 3.93582 + 2.85954i 0.165875 + 0.120515i 0.667626 0.744497i \(-0.267311\pi\)
−0.501751 + 0.865012i \(0.667311\pi\)
\(564\) 6.26396 + 3.73412i 0.263760 + 0.157235i
\(565\) −25.1845 + 24.4889i −1.05952 + 1.03025i
\(566\) 9.57838 4.07501i 0.402609 0.171285i
\(567\) 0.739718 + 0.0203447i 0.0310652 + 0.000854395i
\(568\) 0.508582 10.1811i 0.0213396 0.427189i
\(569\) 20.6253 6.70156i 0.864656 0.280944i 0.157084 0.987585i \(-0.449791\pi\)
0.707572 + 0.706641i \(0.249791\pi\)
\(570\) −1.96534 + 11.5592i −0.0823190 + 0.484161i
\(571\) 0.104477 + 0.0339467i 0.00437223 + 0.00142062i 0.311202 0.950344i \(-0.399268\pi\)
−0.306830 + 0.951764i \(0.599268\pi\)
\(572\) −26.2317 + 4.66950i −1.09680 + 0.195242i
\(573\) −24.2831 + 14.6520i −1.01444 + 0.612097i
\(574\) 0.809834 + 0.485698i 0.0338018 + 0.0202727i
\(575\) 11.4761 3.37661i 0.478585 0.140814i
\(576\) −23.1263 6.41663i −0.963597 0.267360i
\(577\) 10.6652 7.74875i 0.444000 0.322585i −0.343222 0.939254i \(-0.611518\pi\)
0.787222 + 0.616669i \(0.211518\pi\)
\(578\) 0.811789 0.706841i 0.0337660 0.0294007i
\(579\) 5.57810 13.2092i 0.231818 0.548954i
\(580\) 15.2393 + 4.86605i 0.632777 + 0.202052i
\(581\) −0.751475 + 0.244169i −0.0311764 + 0.0101298i
\(582\) −16.4851 11.9100i −0.683329 0.493687i
\(583\) 20.0025 6.49921i 0.828420 0.269170i
\(584\) 2.71290 3.36698i 0.112261 0.139326i
\(585\) 0.887194 31.9623i 0.0366810 1.32148i
\(586\) −1.27209 14.4047i −0.0525497 0.595054i
\(587\) −6.42275 4.66640i −0.265095 0.192603i 0.447295 0.894386i \(-0.352387\pi\)
−0.712390 + 0.701783i \(0.752387\pi\)
\(588\) 5.36722 23.6232i 0.221341 0.974206i
\(589\) 5.31267 3.85988i 0.218905 0.159044i
\(590\) 22.3943 + 19.2999i 0.921958 + 0.794564i
\(591\) −13.8368 + 15.9771i −0.569172 + 0.657212i
\(592\) −34.8742 9.87696i −1.43332 0.405940i
\(593\) 23.1318i 0.949910i 0.880010 + 0.474955i \(0.157536\pi\)
−0.880010 + 0.474955i \(0.842464\pi\)
\(594\) 9.52644 18.1955i 0.390875 0.746569i
\(595\) −0.105643 0.733314i −0.00433092 0.0300630i
\(596\) 0.928338 + 5.21509i 0.0380262 + 0.213618i
\(597\) 34.9736 + 14.7690i 1.43138 + 0.604456i
\(598\) 16.0650 1.41871i 0.656945 0.0580154i
\(599\) 13.8053 0.564071 0.282035 0.959404i \(-0.408990\pi\)
0.282035 + 0.959404i \(0.408990\pi\)
\(600\) −11.2567 + 21.7552i −0.459551 + 0.888151i
\(601\) 29.5640 1.20594 0.602970 0.797764i \(-0.293984\pi\)
0.602970 + 0.797764i \(0.293984\pi\)
\(602\) 1.01579 0.0897057i 0.0414007 0.00365613i
\(603\) −34.1653 18.0039i −1.39132 0.733177i
\(604\) −5.24757 29.4790i −0.213520 1.19949i
\(605\) 3.32531 6.30641i 0.135193 0.256392i
\(606\) 28.0744 + 9.03918i 1.14045 + 0.367192i
\(607\) 36.6312i 1.48682i −0.668838 0.743408i \(-0.733208\pi\)
0.668838 0.743408i \(-0.266792\pi\)
\(608\) 8.82264 8.29480i 0.357805 0.336398i
\(609\) 0.385087 + 0.333500i 0.0156045 + 0.0135141i
\(610\) −8.14578 + 4.94191i −0.329813 + 0.200092i
\(611\) 8.11790 5.89800i 0.328415 0.238607i
\(612\) 23.0347 + 7.34873i 0.931121 + 0.297055i
\(613\) −15.4549 11.2286i −0.624217 0.453520i 0.230175 0.973149i \(-0.426070\pi\)
−0.854392 + 0.519629i \(0.826070\pi\)
\(614\) −0.929177 10.5217i −0.0374985 0.424619i
\(615\) 11.4273 + 29.3036i 0.460793 + 1.18164i
\(616\) 0.506133 + 0.407811i 0.0203927 + 0.0164312i
\(617\) 19.8963 6.46469i 0.800994 0.260259i 0.120215 0.992748i \(-0.461642\pi\)
0.680779 + 0.732489i \(0.261642\pi\)
\(618\) −27.8593 + 38.5610i −1.12067 + 1.55115i
\(619\) 24.5117 7.96433i 0.985208 0.320114i 0.228269 0.973598i \(-0.426694\pi\)
0.756940 + 0.653485i \(0.226694\pi\)
\(620\) 13.0256 4.30560i 0.523121 0.172917i
\(621\) −6.71280 + 10.4637i −0.269375 + 0.419892i
\(622\) −2.09461 + 1.82382i −0.0839863 + 0.0731285i
\(623\) −0.703486 + 0.511112i −0.0281846 + 0.0204773i
\(624\) −20.6506 + 25.7699i −0.826687 + 1.03162i
\(625\) 19.3711 + 15.8038i 0.774844 + 0.632152i
\(626\) −11.4073 6.84153i −0.455927 0.273443i
\(627\) 5.35380 + 8.87295i 0.213810 + 0.354351i
\(628\) −12.7721 + 2.27357i −0.509664 + 0.0907253i
\(629\) 34.7283 + 11.2839i 1.38471 + 0.449919i
\(630\) −0.602261 + 0.495703i −0.0239947 + 0.0197493i
\(631\) 9.50638 3.08881i 0.378443 0.122964i −0.113617 0.993525i \(-0.536244\pi\)
0.492061 + 0.870561i \(0.336244\pi\)
\(632\) −13.4185 0.670302i −0.533759 0.0266632i
\(633\) −1.07135 + 0.249432i −0.0425823 + 0.00991404i
\(634\) −21.5724 + 9.17770i −0.856748 + 0.364493i
\(635\) 16.1289 + 32.7814i 0.640054 + 1.30089i
\(636\) 13.3478 22.3908i 0.529274 0.887853i
\(637\) −26.9672 19.5928i −1.06848 0.776294i
\(638\) 13.0105 5.53516i 0.515091 0.219139i
\(639\) 9.70026 4.77570i 0.383736 0.188924i
\(640\) 22.8291 10.9011i 0.902398 0.430904i
\(641\) −18.6448 + 25.6623i −0.736424 + 1.01360i 0.262393 + 0.964961i \(0.415488\pi\)
−0.998816 + 0.0486391i \(0.984512\pi\)
\(642\) −14.6641 + 45.5447i −0.578747 + 1.79751i
\(643\) 7.49503i 0.295575i 0.989019 + 0.147788i \(0.0472152\pi\)
−0.989019 + 0.147788i \(0.952785\pi\)
\(644\) −0.283457 0.272839i −0.0111698 0.0107514i
\(645\) 28.5834 + 18.3475i 1.12547 + 0.722432i
\(646\) −9.20068 + 8.01121i −0.361996 + 0.315197i
\(647\) 6.63326 20.4151i 0.260780 0.802600i −0.731855 0.681460i \(-0.761345\pi\)
0.992636 0.121139i \(-0.0386548\pi\)
\(648\) −5.97055 24.7458i −0.234545 0.972105i
\(649\) 26.1291 1.02566
\(650\) 21.4123 + 26.0286i 0.839858 + 1.02093i
\(651\) 0.435274 + 0.0372691i 0.0170597 + 0.00146069i
\(652\) −18.5767 + 38.2462i −0.727520 + 1.49784i
\(653\) 13.4876 + 4.38240i 0.527812 + 0.171496i 0.560788 0.827960i \(-0.310498\pi\)
−0.0329758 + 0.999456i \(0.510498\pi\)
\(654\) −3.03695 + 2.21888i −0.118754 + 0.0867651i
\(655\) 4.86720 + 33.7855i 0.190177 + 1.32011i
\(656\) 8.85196 31.2551i 0.345611 1.22031i
\(657\) 4.51946 + 0.779649i 0.176321 + 0.0304170i
\(658\) −0.238559 0.0548706i −0.00929998 0.00213908i
\(659\) −27.7018 20.1265i −1.07911 0.784017i −0.101580 0.994827i \(-0.532390\pi\)
−0.977527 + 0.210810i \(0.932390\pi\)
\(660\) 5.01625 + 21.0603i 0.195257 + 0.819770i
\(661\) −25.8902 + 18.8103i −1.00701 + 0.731636i −0.963580 0.267421i \(-0.913829\pi\)
−0.0434305 + 0.999056i \(0.513829\pi\)
\(662\) −28.7656 + 12.2380i −1.11801 + 0.475643i
\(663\) 21.7798 25.1487i 0.845856 0.976695i
\(664\) 14.8596 + 22.7596i 0.576664 + 0.883244i
\(665\) −0.0561198 0.389554i −0.00217623 0.0151062i
\(666\) −8.81741 37.4198i −0.341668 1.44999i
\(667\) −8.13938 + 2.64465i −0.315158 + 0.102401i
\(668\) 18.9654 + 35.5288i 0.733795 + 1.37465i
\(669\) 14.9663 3.48446i 0.578631 0.134717i
\(670\) 39.6250 9.32642i 1.53085 0.360311i
\(671\) −2.60219 + 8.00872i −0.100457 + 0.309173i
\(672\) 0.804935 0.0328908i 0.0310511 0.00126879i
\(673\) 4.52179 3.28527i 0.174302 0.126638i −0.497214 0.867628i \(-0.665644\pi\)
0.671516 + 0.740990i \(0.265644\pi\)
\(674\) 26.9658 + 16.1728i 1.03869 + 0.622952i
\(675\) −25.9691 + 0.777050i −0.999553 + 0.0299087i
\(676\) 9.15403 + 17.1487i 0.352078 + 0.659564i
\(677\) 6.37681 + 8.77693i 0.245081 + 0.337325i 0.913781 0.406207i \(-0.133149\pi\)
−0.668700 + 0.743532i \(0.733149\pi\)
\(678\) 22.7013 + 31.0710i 0.871838 + 1.19327i
\(679\) 0.649251 + 0.210954i 0.0249160 + 0.00809569i
\(680\) −23.4012 + 10.0965i −0.897394 + 0.387184i
\(681\) 3.52137 + 15.1249i 0.134939 + 0.579586i
\(682\) 6.23642 10.3983i 0.238805 0.398173i
\(683\) 13.1133 + 40.3586i 0.501766 + 1.54428i 0.806140 + 0.591725i \(0.201553\pi\)
−0.304374 + 0.952553i \(0.598447\pi\)
\(684\) 12.2366 + 3.90382i 0.467876 + 0.149266i
\(685\) 34.0312 33.0912i 1.30026 1.26435i
\(686\) 0.143136 + 1.62082i 0.00546495 + 0.0618831i
\(687\) −5.66820 4.90889i −0.216255 0.187286i
\(688\) −12.1053 32.9244i −0.461511 1.25523i
\(689\) −21.0827 29.0178i −0.803185 1.10549i
\(690\) −1.90314 12.9653i −0.0724513 0.493582i
\(691\) −10.2098 + 14.0525i −0.388398 + 0.534584i −0.957785 0.287486i \(-0.907181\pi\)
0.569387 + 0.822070i \(0.307181\pi\)
\(692\) −6.31579 6.07921i −0.240090 0.231097i
\(693\) −0.117199 + 0.679379i −0.00445202 + 0.0258075i
\(694\) 0.640681 2.78546i 0.0243199 0.105735i
\(695\) −0.814441 1.65533i −0.0308935 0.0627902i
\(696\) 7.61430 15.7835i 0.288619 0.598273i
\(697\) −10.1129 + 31.1243i −0.383053 + 1.17892i
\(698\) 7.07786 0.625052i 0.267901 0.0236586i
\(699\) 0.300320 3.50750i 0.0113592 0.132666i
\(700\) 0.135862 0.810917i 0.00513508 0.0306498i
\(701\) 42.2125i 1.59435i 0.603751 + 0.797173i \(0.293672\pi\)
−0.603751 + 0.797173i \(0.706328\pi\)
\(702\) −34.5324 5.86230i −1.30334 0.221258i
\(703\) 18.4485 + 5.99427i 0.695797 + 0.226078i
\(704\) 8.99430 20.4706i 0.338985 0.771516i
\(705\) −5.16456 6.30899i −0.194509 0.237610i
\(706\) −12.6080 2.89995i −0.474507 0.109141i
\(707\) −0.990015 −0.0372333
\(708\) 24.3671 21.3315i 0.915771 0.801687i
\(709\) −14.8691 10.8030i −0.558420 0.405716i 0.272460 0.962167i \(-0.412163\pi\)
−0.830880 + 0.556451i \(0.812163\pi\)
\(710\) −4.40836 + 10.5099i −0.165443 + 0.394429i
\(711\) −6.29429 12.7848i −0.236054 0.479466i
\(712\) 23.2925 + 18.7677i 0.872924 + 0.703349i
\(713\) −4.31391 + 5.93759i −0.161557 + 0.222365i
\(714\) −0.811596 + 0.00216573i −0.0303732 + 8.10505e-5i
\(715\) 29.3541 + 5.07152i 1.09778 + 0.189664i
\(716\) 4.50608 32.4465i 0.168400 1.21258i
\(717\) 4.77972 + 20.5297i 0.178502 + 0.766694i
\(718\) −16.1665 9.69588i −0.603329 0.361847i
\(719\) −14.8203 45.6122i −0.552704 1.70105i −0.701931 0.712245i \(-0.747678\pi\)
0.149227 0.988803i \(-0.452322\pi\)
\(720\) 21.8714 + 15.5449i 0.815098 + 0.579324i
\(721\) 0.493453 1.51869i 0.0183771 0.0565590i
\(722\) 15.3771 13.3891i 0.572276 0.498292i
\(723\) −30.3254 + 18.2979i −1.12781 + 0.680505i
\(724\) −4.12083 7.71974i −0.153149 0.286902i
\(725\) −14.1697 10.9139i −0.526249 0.405332i
\(726\) −6.33055 4.57365i −0.234949 0.169744i
\(727\) −8.35057 11.4936i −0.309705 0.426273i 0.625584 0.780157i \(-0.284861\pi\)
−0.935289 + 0.353884i \(0.884861\pi\)
\(728\) 0.394713 1.03583i 0.0146290 0.0383906i
\(729\) 19.8629 18.2884i 0.735661 0.677349i
\(730\) −4.13314 + 2.50751i −0.152974 + 0.0928070i
\(731\) 10.9207 + 33.6105i 0.403917 + 1.24313i
\(732\) 4.11152 + 9.59306i 0.151966 + 0.354570i
\(733\) −11.8497 36.4697i −0.437680 1.34704i −0.890316 0.455344i \(-0.849516\pi\)
0.452636 0.891695i \(-0.350484\pi\)
\(734\) −33.8695 + 14.4094i −1.25015 + 0.531860i
\(735\) −14.6307 + 22.7931i −0.539662 + 0.840735i
\(736\) −6.51309 + 11.8638i −0.240076 + 0.437306i
\(737\) 21.1479 29.1076i 0.778992 1.07219i
\(738\) 33.5365 7.90237i 1.23449 0.290890i
\(739\) 9.88757 + 13.6091i 0.363720 + 0.500618i 0.951180 0.308635i \(-0.0998722\pi\)
−0.587461 + 0.809253i \(0.699872\pi\)
\(740\) 32.9054 + 23.6525i 1.20963 + 0.869485i
\(741\) 11.5699 13.3596i 0.425032 0.490777i
\(742\) −0.196137 + 0.852738i −0.00720043 + 0.0313050i
\(743\) 24.3161 0.892071 0.446035 0.895015i \(-0.352836\pi\)
0.446035 + 0.895015i \(0.352836\pi\)
\(744\) −2.67323 14.7885i −0.0980055 0.542172i
\(745\) 1.00826 5.83584i 0.0369399 0.213809i
\(746\) −10.7154 + 9.33011i −0.392319 + 0.341600i
\(747\) −13.4404 + 25.5052i −0.491757 + 0.933186i
\(748\) −9.84158 + 20.2621i −0.359844 + 0.740855i
\(749\) 1.60609i 0.0586851i
\(750\) 20.1115 18.5884i 0.734369 0.678751i
\(751\) 20.5712i 0.750654i −0.926892 0.375327i \(-0.877530\pi\)
0.926892 0.375327i \(-0.122470\pi\)
\(752\) 0.321341 + 8.41454i 0.0117181 + 0.306847i
\(753\) −0.212296 + 0.502724i −0.00773648 + 0.0183203i
\(754\) −15.8342 18.1852i −0.576649 0.662266i
\(755\) −5.69936 + 32.9880i −0.207421 + 1.20055i
\(756\) 0.445342 + 0.729245i 0.0161969 + 0.0265224i
\(757\) −51.6491 −1.87722 −0.938608 0.344984i \(-0.887884\pi\)
−0.938608 + 0.344984i \(0.887884\pi\)
\(758\) 28.9776 + 6.66511i 1.05251 + 0.242088i
\(759\) −8.75512 7.58228i −0.317791 0.275219i
\(760\) −12.4313 + 5.36351i −0.450929 + 0.194555i
\(761\) −16.1791 22.2686i −0.586492 0.807237i 0.407897 0.913028i \(-0.366262\pi\)
−0.994388 + 0.105792i \(0.966262\pi\)
\(762\) 38.0295 12.4688i 1.37766 0.451698i
\(763\) 0.0742088 0.102140i 0.00268654 0.00369770i
\(764\) −29.4576 14.3080i −1.06574 0.517644i
\(765\) −21.4204 16.4899i −0.774455 0.596195i
\(766\) 10.3570 + 24.3444i 0.374215 + 0.879600i
\(767\) −13.7700 42.3798i −0.497207 1.53024i
\(768\) −8.32424 26.4331i −0.300375 0.953821i
\(769\) −5.61828 17.2913i −0.202601 0.623540i −0.999803 0.0198288i \(-0.993688\pi\)
0.797203 0.603712i \(-0.206312\pi\)
\(770\) −0.376936 0.621306i −0.0135838 0.0223903i
\(771\) −5.26159 2.22192i −0.189491 0.0800204i
\(772\) 16.3006 2.90167i 0.586671 0.104433i
\(773\) −12.7699 17.5762i −0.459300 0.632172i 0.515064 0.857152i \(-0.327768\pi\)
−0.974363 + 0.224980i \(0.927768\pi\)
\(774\) 24.2829