Properties

Label 300.2.n.a.191.56
Level $300$
Weight $2$
Character 300.191
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 191.56
Character \(\chi\) \(=\) 300.191
Dual form 300.2.n.a.11.56

$q$-expansion

\(f(q)\) \(=\) \(q+(1.40873 + 0.124406i) q^{2} +(-0.392752 - 1.68693i) q^{3} +(1.96905 + 0.350510i) q^{4} +(2.20342 - 0.380687i) q^{5} +(-0.343417 - 2.42530i) q^{6} +0.0822219i q^{7} +(2.73025 + 0.738736i) q^{8} +(-2.69149 + 1.32509i) q^{9} +O(q^{10})\) \(q+(1.40873 + 0.124406i) q^{2} +(-0.392752 - 1.68693i) q^{3} +(1.96905 + 0.350510i) q^{4} +(2.20342 - 0.380687i) q^{5} +(-0.343417 - 2.42530i) q^{6} +0.0822219i q^{7} +(2.73025 + 0.738736i) q^{8} +(-2.69149 + 1.32509i) q^{9} +(3.15139 - 0.262166i) q^{10} +(-2.26115 - 1.64282i) q^{11} +(-0.182061 - 3.45931i) q^{12} +(-3.85618 + 2.80168i) q^{13} +(-0.0102289 + 0.115829i) q^{14} +(-1.50759 - 3.56751i) q^{15} +(3.75429 + 1.38034i) q^{16} +(3.83252 + 1.24526i) q^{17} +(-3.95644 + 1.53186i) q^{18} +(-2.03592 - 0.661512i) q^{19} +(4.47208 + 0.0227314i) q^{20} +(0.138703 - 0.0322929i) q^{21} +(-2.98097 - 2.59559i) q^{22} +(-1.93558 - 1.40628i) q^{23} +(0.173886 - 4.89589i) q^{24} +(4.71015 - 1.67763i) q^{25} +(-5.78086 + 3.46707i) q^{26} +(3.29244 + 4.01993i) q^{27} +(-0.0288196 + 0.161899i) q^{28} +(3.40204 - 1.10539i) q^{29} +(-1.67997 - 5.21322i) q^{30} +(-2.91747 - 0.947944i) q^{31} +(5.11706 + 2.41159i) q^{32} +(-1.88326 + 4.45962i) q^{33} +(5.24407 + 2.23103i) q^{34} +(0.0313008 + 0.181170i) q^{35} +(-5.76413 + 1.66578i) q^{36} +(-7.33089 + 5.32620i) q^{37} +(-2.78577 - 1.18517i) q^{38} +(6.24076 + 5.40475i) q^{39} +(6.29713 + 0.588377i) q^{40} +(-4.77346 - 6.57011i) q^{41} +(0.199413 - 0.0282364i) q^{42} +8.76981i q^{43} +(-3.87648 - 4.02734i) q^{44} +(-5.42605 + 3.94436i) q^{45} +(-2.55176 - 2.22187i) q^{46} +(0.650533 + 2.00213i) q^{47} +(0.854038 - 6.87536i) 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} +(4.13805 + 6.07260i) 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} +(-1.71807 - 7.55303i) q^{60} +(-2.43750 - 1.77094i) q^{61} +(-3.99200 - 1.69835i) q^{62} +(-0.108952 - 0.221300i) q^{63} +(6.90854 + 4.03387i) q^{64} +(-7.43023 + 7.64128i) q^{65} +(-3.20781 + 6.04812i) q^{66} +(12.2429 + 3.97795i) q^{67} +(7.10993 + 3.79531i) q^{68} +(-1.61210 + 3.81751i) q^{69} +(0.0215558 + 0.259113i) q^{70} +(1.11371 + 3.42765i) q^{71} +(-8.32734 + 1.62954i) q^{72} +(-1.23678 - 0.898571i) q^{73} +(-10.9899 + 6.59118i) q^{74} +(-4.67998 - 7.28682i) q^{75} +(-3.77696 - 2.01616i) q^{76} +(0.135076 - 0.185916i) q^{77} +(8.11917 + 8.39023i) q^{78} +(4.51758 - 1.46785i) q^{79} +(8.79776 + 1.61227i) q^{80} +(5.48825 - 7.13296i) q^{81} +(-5.90716 - 9.84936i) q^{82} +(2.96963 - 9.13959i) q^{83} +(0.284431 - 0.0149694i) q^{84} +(8.91872 + 1.28485i) q^{85} +(-1.09102 + 12.3543i) q^{86} +(-3.20088 - 5.30487i) q^{87} +(-4.95989 - 6.15570i) q^{88} +(6.21625 - 8.55594i) q^{89} +(-8.13455 + 4.88151i) 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} +(2.05845 - 9.57929i) 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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

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

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
\(3\) −0.392752 1.68693i −0.226756 0.973952i
\(4\) 1.96905 + 0.350510i 0.984523 + 0.175255i
\(5\) 2.20342 0.380687i 0.985401 0.170249i
\(6\) −0.343417 2.42530i −0.140200 0.990123i
\(7\) 0.0822219i 0.0310770i 0.999879 + 0.0155385i \(0.00494625\pi\)
−0.999879 + 0.0155385i \(0.995054\pi\)
\(8\) 2.73025 + 0.738736i 0.965289 + 0.261183i
\(9\) −2.69149 + 1.32509i −0.897164 + 0.441698i
\(10\) 3.15139 0.262166i 0.996558 0.0829042i
\(11\) −2.26115 1.64282i −0.681761 0.495328i 0.192180 0.981360i \(-0.438444\pi\)
−0.873941 + 0.486031i \(0.838444\pi\)
\(12\) −0.182061 3.45931i −0.0525564 0.998618i
\(13\) −3.85618 + 2.80168i −1.06951 + 0.777045i −0.975824 0.218557i \(-0.929865\pi\)
−0.0936864 + 0.995602i \(0.529865\pi\)
\(14\) −0.0102289 + 0.115829i −0.00273380 + 0.0309565i
\(15\) −1.50759 3.56751i −0.389259 0.921128i
\(16\) 3.75429 + 1.38034i 0.938571 + 0.345085i
\(17\) 3.83252 + 1.24526i 0.929522 + 0.302020i 0.734367 0.678752i \(-0.237479\pi\)
0.195155 + 0.980772i \(0.437479\pi\)
\(18\) −3.95644 + 1.53186i −0.932541 + 0.361064i
\(19\) −2.03592 0.661512i −0.467073 0.151761i 0.0660193 0.997818i \(-0.478970\pi\)
−0.533092 + 0.846057i \(0.678970\pi\)
\(20\) 4.47208 + 0.0227314i 0.999987 + 0.00508290i
\(21\) 0.138703 0.0322929i 0.0302675 0.00704688i
\(22\) −2.98097 2.59559i −0.635545 0.553382i
\(23\) −1.93558 1.40628i −0.403595 0.293229i 0.367408 0.930060i \(-0.380245\pi\)
−0.771004 + 0.636830i \(0.780245\pi\)
\(24\) 0.173886 4.89589i 0.0354943 0.999370i
\(25\) 4.71015 1.67763i 0.942031 0.335526i
\(26\) −5.78086 + 3.46707i −1.13372 + 0.679949i
\(27\) 3.29244 + 4.01993i 0.633630 + 0.773636i
\(28\) −0.0288196 + 0.161899i −0.00544639 + 0.0305960i
\(29\) 3.40204 1.10539i 0.631742 0.205265i 0.0243955 0.999702i \(-0.492234\pi\)
0.607347 + 0.794437i \(0.292234\pi\)
\(30\) −1.67997 5.21322i −0.306720 0.951800i
\(31\) −2.91747 0.947944i −0.523993 0.170256i 0.0350636 0.999385i \(-0.488837\pi\)
−0.559057 + 0.829129i \(0.688837\pi\)
\(32\) 5.11706 + 2.41159i 0.904576 + 0.426312i
\(33\) −1.88326 + 4.45962i −0.327833 + 0.776321i
\(34\) 5.24407 + 2.23103i 0.899351 + 0.382618i
\(35\) 0.0313008 + 0.181170i 0.00529081 + 0.0306233i
\(36\) −5.76413 + 1.66578i −0.960688 + 0.277630i
\(37\) −7.33089 + 5.32620i −1.20519 + 0.875622i −0.994785 0.101992i \(-0.967478\pi\)
−0.210405 + 0.977614i \(0.567478\pi\)
\(38\) −2.78577 1.18517i −0.451912 0.192261i
\(39\) 6.24076 + 5.40475i 0.999322 + 0.865452i
\(40\) 6.29713 + 0.588377i 0.995663 + 0.0930306i
\(41\) −4.77346 6.57011i −0.745490 1.02608i −0.998284 0.0585585i \(-0.981350\pi\)
0.252794 0.967520i \(-0.418650\pi\)
\(42\) 0.199413 0.0282364i 0.0307700 0.00435698i
\(43\) 8.76981i 1.33738i 0.743540 + 0.668692i \(0.233145\pi\)
−0.743540 + 0.668692i \(0.766855\pi\)
\(44\) −3.87648 4.02734i −0.584401 0.607144i
\(45\) −5.42605 + 3.94436i −0.808868 + 0.587991i
\(46\) −2.55176 2.22187i −0.376236 0.327596i
\(47\) 0.650533 + 2.00213i 0.0948900 + 0.292041i 0.987225 0.159332i \(-0.0509342\pi\)
−0.892335 + 0.451374i \(0.850934\pi\)
\(48\) 0.854038 6.87536i 0.123270 0.992373i
\(49\) 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 \(-0.772884\pi\)
−0.226978 + 0.973900i \(0.572884\pi\)
\(54\) 4.13805 + 6.07260i 0.563118 + 0.826377i
\(55\) −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 \(-0.908249\pi\)
−0.0259120 + 0.999664i \(0.508249\pi\)
\(60\) −1.71807 7.55303i −0.221802 0.975092i
\(61\) −2.43750 1.77094i −0.312089 0.226746i 0.420703 0.907198i \(-0.361783\pi\)
−0.732792 + 0.680452i \(0.761783\pi\)
\(62\) −3.99200 1.69835i −0.506985 0.215691i
\(63\) −0.108952 0.221300i −0.0137266 0.0278811i
\(64\) 6.90854 + 4.03387i 0.863567 + 0.504234i
\(65\) −7.43023 + 7.64128i −0.921606 + 0.947784i
\(66\) −3.20781 + 6.04812i −0.394854 + 0.744472i
\(67\) 12.2429 + 3.97795i 1.49571 + 0.485984i 0.938762 0.344566i \(-0.111974\pi\)
0.556943 + 0.830550i \(0.311974\pi\)
\(68\) 7.10993 + 3.79531i 0.862206 + 0.460249i
\(69\) −1.61210 + 3.81751i −0.194074 + 0.459574i
\(70\) 0.0215558 + 0.259113i 0.00257641 + 0.0309700i
\(71\) 1.11371 + 3.42765i 0.132173 + 0.406787i 0.995140 0.0984739i \(-0.0313961\pi\)
−0.862966 + 0.505261i \(0.831396\pi\)
\(72\) −8.32734 + 1.62954i −0.981386 + 0.192043i
\(73\) −1.23678 0.898571i −0.144754 0.105170i 0.513051 0.858358i \(-0.328515\pi\)
−0.657805 + 0.753188i \(0.728515\pi\)
\(74\) −10.9899 + 6.59118i −1.27755 + 0.766209i
\(75\) −4.67998 7.28682i −0.540397 0.841410i
\(76\) −3.77696 2.01616i −0.433247 0.231269i
\(77\) 0.135076 0.185916i 0.0153933 0.0211871i
\(78\) 8.11917 + 8.39023i 0.919315 + 0.950006i
\(79\) 4.51758 1.46785i 0.508268 0.165146i −0.0436467 0.999047i \(-0.513898\pi\)
0.551914 + 0.833901i \(0.313898\pi\)
\(80\) 8.79776 + 1.61227i 0.983620 + 0.180257i
\(81\) 5.48825 7.13296i 0.609805 0.792551i
\(82\) −5.90716 9.84936i −0.652337 1.08768i
\(83\) 2.96963 9.13959i 0.325960 1.00320i −0.645046 0.764144i \(-0.723162\pi\)
0.971006 0.239057i \(-0.0768382\pi\)
\(84\) 0.284431 0.0149694i 0.0310340 0.00163329i
\(85\) 8.91872 + 1.28485i 0.967371 + 0.139361i
\(86\) −1.09102 + 12.3543i −0.117648 + 1.33220i
\(87\) −3.20088 5.30487i −0.343170 0.568741i
\(88\) −4.95989 6.15570i −0.528726 0.656199i
\(89\) 6.21625 8.55594i 0.658922 0.906928i −0.340524 0.940236i \(-0.610604\pi\)
0.999445 + 0.0333083i \(0.0106043\pi\)
\(90\) −8.13455 + 4.88151i −0.857457 + 0.514556i
\(91\) −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
\(96\) 2.05845 9.57929i 0.210090 0.977682i
\(97\) −2.56567 7.89632i −0.260504 0.801750i −0.992695 0.120650i \(-0.961502\pi\)
0.732191 0.681100i \(-0.238498\pi\)
\(98\) 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 \(-0.204455\pi\)
\(102\) 1.70397 9.72264i 0.168718 0.962685i
\(103\) 18.4706 6.00148i 1.81997 0.591343i 0.820151 0.572147i \(-0.193889\pi\)
0.999816 0.0191961i \(-0.00611068\pi\)
\(104\) −12.5980 + 4.80058i −1.23534 + 0.470736i
\(105\) 0.293328 0.123957i 0.0286259 0.0120970i
\(106\) −10.3712 + 2.38546i −1.00734 + 0.231697i
\(107\) −19.5335 −1.88838 −0.944190 0.329402i \(-0.893153\pi\)
−0.944190 + 0.329402i \(0.893153\pi\)
\(108\) 5.07393 + 9.06947i 0.488239 + 0.872710i
\(109\) 1.24224 0.902543i 0.118985 0.0864479i −0.526701 0.850051i \(-0.676571\pi\)
0.645687 + 0.763603i \(0.276571\pi\)
\(110\) −7.55645 4.58437i −0.720479 0.437102i
\(111\) 11.8642 + 10.2748i 1.12610 + 0.975245i
\(112\) −0.113494 + 0.308685i −0.0107242 + 0.0291680i
\(113\) −9.23389 12.7094i −0.868651 1.19560i −0.979437 0.201751i \(-0.935337\pi\)
0.110786 0.993844i \(-0.464663\pi\)
\(114\) −0.905191 + 5.16489i −0.0847789 + 0.483737i
\(115\) −4.80025 2.36178i −0.447625 0.220237i
\(116\) 7.08622 0.984113i 0.657939 0.0913726i
\(117\) 6.66638 12.6505i 0.616307 1.16954i
\(118\) −11.3383 + 6.80013i −1.04377 + 0.626003i
\(119\) −0.102388 + 0.315117i −0.00938587 + 0.0288867i
\(120\) −1.48066 10.8539i −0.135165 0.990823i
\(121\) −0.985260 3.03232i −0.0895691 0.275665i
\(122\) −3.21346 2.79802i −0.290933 0.253321i
\(123\) −9.20855 + 10.6329i −0.830307 + 0.958740i
\(124\) −5.41237 2.88915i −0.486045 0.259453i
\(125\) 9.73981 5.48963i 0.871156 0.491007i
\(126\) −0.125953 0.325306i −0.0112208 0.0289805i
\(127\) −9.60363 + 13.2183i −0.852185 + 1.17293i 0.131193 + 0.991357i \(0.458119\pi\)
−0.983377 + 0.181575i \(0.941881\pi\)
\(128\) 9.23043 + 6.54210i 0.815863 + 0.578246i
\(129\) 14.7941 3.44437i 1.30255 0.303259i
\(130\) −11.4178 + 9.84013i −1.00141 + 0.863037i
\(131\) 4.71724 14.5182i 0.412147 1.26846i −0.502631 0.864501i \(-0.667634\pi\)
0.914778 0.403957i \(-0.132366\pi\)
\(132\) −5.27136 + 8.12111i −0.458813 + 0.706852i
\(133\) 0.0543908 0.167398i 0.00471628 0.0145152i
\(134\) 16.7520 + 7.12695i 1.44716 + 0.615675i
\(135\) 8.78497 + 7.60423i 0.756090 + 0.654468i
\(136\) 9.54382 + 6.23109i 0.818376 + 0.534312i
\(137\) 12.4775 + 17.1739i 1.06603 + 1.46726i 0.874034 + 0.485866i \(0.161496\pi\)
0.191994 + 0.981396i \(0.438504\pi\)
\(138\) −2.74593 + 5.17729i −0.233749 + 0.440720i
\(139\) 0.484944 0.667468i 0.0411324 0.0566139i −0.787955 0.615732i \(-0.788860\pi\)
0.829088 + 0.559118i \(0.188860\pi\)
\(140\) −0.00186902 + 0.367703i −0.000157961 + 0.0310766i
\(141\) 3.12197 1.88375i 0.262917 0.158640i
\(142\) 1.14250 + 4.96719i 0.0958764 + 0.416838i
\(143\) 13.3220 1.11404
\(144\) −11.9337 + 1.25961i −0.994476 + 0.104967i
\(145\) 7.07532 3.73075i 0.587573 0.309822i
\(146\) −1.63050 1.41971i −0.134941 0.117496i
\(147\) −2.74661 11.7971i −0.226537 0.973011i
\(148\) −16.3017 + 7.91799i −1.33999 + 0.650854i
\(149\) 2.64853i 0.216976i 0.994098 + 0.108488i \(0.0346010\pi\)
−0.994098 + 0.108488i \(0.965399\pi\)
\(150\) −5.68630 10.8474i −0.464285 0.885686i
\(151\) 14.9712i 1.21834i 0.793039 + 0.609171i \(0.208498\pi\)
−0.793039 + 0.609171i \(0.791502\pi\)
\(152\) −5.06990 3.31010i −0.411223 0.268485i
\(153\) −11.9653 + 1.72684i −0.967335 + 0.139607i
\(154\) 0.213414 0.245101i 0.0171974 0.0197508i
\(155\) −6.78930 0.978078i −0.545329 0.0785611i
\(156\) 10.3939 + 12.8296i 0.832181 + 1.02719i
\(157\) −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
\(159\) 6.73354 + 11.1596i 0.534005 + 0.885015i
\(160\) 12.1931 + 3.36575i 0.963949 + 0.266086i
\(161\) 0.115627 0.159147i 0.00911268 0.0125425i
\(162\) 8.61885 9.36565i 0.677161 0.735835i
\(163\) −12.4960 17.1993i −0.978763 1.34715i −0.937493 0.348004i \(-0.886860\pi\)
−0.0412703 0.999148i \(-0.513140\pi\)
\(164\) −7.09628 14.6100i −0.554126 1.14085i
\(165\) −2.45189 + 10.5434i −0.190879 + 0.820801i
\(166\) 5.32044 12.5058i 0.412946 0.970637i
\(167\) −6.22266 + 19.1514i −0.481524 + 1.48198i 0.355430 + 0.934703i \(0.384334\pi\)
−0.836953 + 0.547274i \(0.815666\pi\)
\(168\) 0.402550 + 0.0142972i 0.0310574 + 0.00110306i
\(169\) 3.00348 9.24377i 0.231037 0.711059i
\(170\) 12.4042 + 2.91955i 0.951361 + 0.223919i
\(171\) 6.35624 0.917339i 0.486074 0.0701507i
\(172\) −3.07391 + 17.2682i −0.234383 + 1.31669i
\(173\) 2.57632 3.54600i 0.195874 0.269597i −0.699771 0.714367i \(-0.746715\pi\)
0.895645 + 0.444770i \(0.146715\pi\)
\(174\) −3.84921 7.87134i −0.291808 0.596725i
\(175\) 0.137938 + 0.387278i 0.0104271 + 0.0292755i
\(176\) −6.22134 9.28876i −0.468951 0.700167i
\(177\) 12.2403 + 10.6006i 0.920036 + 0.796788i
\(178\) 9.82144 11.2797i 0.736148 0.845447i
\(179\) −5.06138 15.5773i −0.378305 1.16430i −0.941222 0.337789i \(-0.890321\pi\)
0.562917 0.826514i \(-0.309679\pi\)
\(180\) −12.0667 + 5.86475i −0.899397 + 0.437132i
\(181\) −1.35207 + 4.16123i −0.100498 + 0.309302i −0.988648 0.150253i \(-0.951991\pi\)
0.888149 + 0.459555i \(0.151991\pi\)
\(182\) −0.285070 0.475313i −0.0211308 0.0352326i
\(183\) −2.03013 + 4.80744i −0.150072 + 0.355376i
\(184\) −4.24574 5.26937i −0.313000 0.388463i
\(185\) −14.1254 + 14.5267i −1.03852 + 1.06802i
\(186\) −1.29713 + 7.40127i −0.0951105 + 0.542688i
\(187\) −6.62015 9.11185i −0.484113 0.666324i
\(188\) 0.579161 + 4.17031i 0.0422397 + 0.304151i
\(189\) −0.330527 + 0.270711i −0.0240423 + 0.0196913i
\(190\) −6.58942 1.55093i −0.478047 0.112516i
\(191\) 13.2471 9.62455i 0.958523 0.696408i 0.00571595 0.999984i \(-0.498181\pi\)
0.952807 + 0.303576i \(0.0981805\pi\)
\(192\) 4.09152 13.2386i 0.295280 0.955411i
\(193\) 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
\(195\) 15.8086 + 9.53317i 1.13207 + 0.682685i
\(196\) 13.7700 + 2.45120i 0.983572 + 0.175086i
\(197\) 11.6056 3.77088i 0.826864 0.268664i 0.135140 0.990827i \(-0.456852\pi\)
0.691724 + 0.722162i \(0.256852\pi\)
\(198\) 11.4627 + 3.03594i 0.814615 + 0.215755i
\(199\) 21.9186i 1.55377i −0.629642 0.776885i \(-0.716799\pi\)
0.629642 0.776885i \(-0.283201\pi\)
\(200\) 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
\(204\) 3.61000 13.4846i 0.252750 0.944111i
\(205\) −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
\(210\) 0.428641 0.138131i 0.0295791 0.00953192i
\(211\) −0.373295 + 0.513796i −0.0256987 + 0.0353712i −0.821673 0.569959i \(-0.806959\pi\)
0.795974 + 0.605330i \(0.206959\pi\)
\(212\) −14.9070 + 2.07024i −1.02381 + 0.142184i
\(213\) 5.34481 3.22498i 0.366220 0.220972i
\(214\) −27.5175 2.43010i −1.88106 0.166118i
\(215\) 3.33856 + 19.3236i 0.227688 + 1.31786i
\(216\) 6.01951 + 13.4077i 0.409576 + 0.912276i
\(217\) 0.0779418 0.239880i 0.00529103 0.0162841i
\(218\) 1.86227 1.11690i 0.126129 0.0756458i
\(219\) −1.03008 + 2.43928i −0.0696065 + 0.164831i
\(220\) −10.0747 7.39821i −0.679235 0.498787i
\(221\) −18.2677 + 5.93553i −1.22882 + 0.399267i
\(222\) 15.4352 + 15.9505i 1.03594 + 1.07053i
\(223\) 5.21478 7.17752i 0.349207 0.480643i −0.597895 0.801574i \(-0.703996\pi\)
0.947102 + 0.320932i \(0.103996\pi\)
\(224\) −0.198285 + 0.420734i −0.0132485 + 0.0281115i
\(225\) −10.4543 + 10.7567i −0.696955 + 0.717115i
\(226\) −11.4269 19.0528i −0.760109 1.26737i
\(227\) 7.25355 + 5.27002i 0.481435 + 0.349783i 0.801881 0.597484i \(-0.203833\pi\)
−0.320446 + 0.947267i \(0.603833\pi\)
\(228\) −1.91772 + 7.16333i −0.127004 + 0.474403i
\(229\) 1.33779 + 4.11730i 0.0884039 + 0.272079i 0.985479 0.169800i \(-0.0543121\pi\)
−0.897075 + 0.441879i \(0.854312\pi\)
\(230\) −6.46844 3.92429i −0.426516 0.258760i
\(231\) −0.366679 0.154845i −0.0241257 0.0101880i
\(232\) 10.1050 0.504781i 0.663426 0.0331405i
\(233\) −1.93299 0.628067i −0.126635 0.0411461i 0.245014 0.969520i \(-0.421207\pi\)
−0.371649 + 0.928373i \(0.621207\pi\)
\(234\) 10.9649 16.9918i 0.716800 1.11079i
\(235\) 2.19559 + 4.16390i 0.143224 + 0.271623i
\(236\) −16.8185 + 8.16900i −1.09479 + 0.531757i
\(237\) −4.25046 7.04436i −0.276097 0.457580i
\(238\) −0.183439 + 0.431177i −0.0118906 + 0.0279491i
\(239\) 9.84559 + 7.15324i 0.636858 + 0.462704i 0.858769 0.512362i \(-0.171230\pi\)
−0.221911 + 0.975067i \(0.571230\pi\)
\(240\) −0.735554 15.4745i −0.0474798 0.998872i
\(241\) −16.5433 + 12.0194i −1.06565 + 0.774238i −0.975125 0.221657i \(-0.928854\pi\)
−0.0905221 + 0.995894i \(0.528854\pi\)
\(242\) −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
\(246\) −14.2952 + 13.8334i −0.911427 + 0.881983i
\(247\) 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 \(-0.496835\pi\)
0.00994342 + 0.999951i \(0.496835\pi\)
\(252\) −0.136964 0.473938i −0.00862789 0.0298553i
\(253\) 2.06636 + 6.35960i 0.129911 + 0.399825i
\(254\) −15.1734 + 17.4262i −0.952062 + 1.09342i
\(255\) −1.33540 15.5499i −0.0836258 0.973773i
\(256\) 12.1893 + 10.3644i 0.761832 + 0.647774i
\(257\) 3.29754i 0.205695i −0.994697 0.102847i \(-0.967205\pi\)
0.994697 0.102847i \(-0.0327953\pi\)
\(258\) 21.2694 3.01171i 1.32417 0.187501i
\(259\) −0.437931 0.602760i −0.0272117 0.0374537i
\(260\) −17.3088 + 12.4417i −1.07345 + 0.771599i
\(261\) −7.69180 + 7.48316i −0.476111 + 0.463196i
\(262\) 8.45147 19.8653i 0.522134 1.22729i
\(263\) −3.85860 + 2.80344i −0.237931 + 0.172867i −0.700361 0.713789i \(-0.746978\pi\)
0.462430 + 0.886656i \(0.346978\pi\)
\(264\) −8.43624 + 10.7847i −0.519215 + 0.663750i
\(265\) −14.8840 + 7.84822i −0.914320 + 0.482112i
\(266\) 0.0974473 0.229052i 0.00597488 0.0140441i
\(267\) −16.8748 7.12604i −1.03272 0.436107i
\(268\) 22.7125 + 12.1240i 1.38739 + 0.740592i
\(269\) −1.52190 0.494495i −0.0927918 0.0301499i 0.262253 0.964999i \(-0.415534\pi\)
−0.355045 + 0.934849i \(0.615534\pi\)
\(270\) 11.4296 + 11.8052i 0.695586 + 0.718443i
\(271\) −18.1696 + 5.90365i −1.10372 + 0.358621i −0.803534 0.595259i \(-0.797050\pi\)
−0.300189 + 0.953880i \(0.597050\pi\)
\(272\) 12.6695 + 9.96525i 0.768200 + 0.604232i
\(273\) −0.444389 + 0.513128i −0.0268956 + 0.0310559i
\(274\) 15.4410 + 25.7456i 0.932822 + 1.55535i
\(275\) −13.4064 3.94456i −0.808436 0.237866i
\(276\) −4.51237 + 6.95179i −0.271612 + 0.418449i
\(277\) 23.3083 + 16.9344i 1.40046 + 1.01749i 0.994625 + 0.103545i \(0.0330187\pi\)
0.405834 + 0.913947i \(0.366981\pi\)
\(278\) 0.766193 0.879953i 0.0459532 0.0527761i
\(279\) 9.10846 1.31454i 0.545309 0.0786997i
\(280\) −0.0483775 + 0.517762i −0.00289111 + 0.0309422i
\(281\) 14.4037 + 4.68005i 0.859253 + 0.279188i 0.705316 0.708893i \(-0.250805\pi\)
0.153936 + 0.988081i \(0.450805\pi\)
\(282\) 4.63237 2.26530i 0.275853 0.134897i
\(283\) −7.00016 2.27449i −0.416116 0.135204i 0.0934737 0.995622i \(-0.470203\pi\)
−0.509590 + 0.860417i \(0.670203\pi\)
\(284\) 0.991523 + 7.13957i 0.0588361 + 0.423656i
\(285\) 0.709394 + 8.26048i 0.0420209 + 0.489309i
\(286\) 18.7671 + 1.65734i 1.10972 + 0.0980007i
\(287\) 0.540207 0.392483i 0.0318874 0.0231676i
\(288\) −16.9681 + 0.289823i −0.999854 + 0.0170780i
\(289\) −0.615764 0.447379i −0.0362214 0.0263164i
\(290\) 10.4314 4.37541i 0.612550 0.256933i
\(291\) −12.3129 + 7.42942i −0.721795 + 0.435520i
\(292\) −2.12031 2.20283i −0.124082 0.128911i
\(293\) 10.2253i 0.597370i 0.954352 + 0.298685i \(0.0965480\pi\)
−0.954352 + 0.298685i \(0.903452\pi\)
\(294\) −2.40160 16.9607i −0.140064 0.989167i
\(295\) −14.5732 + 14.9872i −0.848487 + 0.872587i
\(296\) −23.9498 + 9.12627i −1.39205 + 0.530454i
\(297\) −0.840660 14.4985i −0.0487800 0.841290i
\(298\) −0.329494 + 3.73107i −0.0190871 + 0.216135i
\(299\) 11.4039 0.659502
\(300\) −6.66099 15.9885i −0.384572 0.923095i
\(301\) −0.721071 −0.0415618
\(302\) −1.86252 + 21.0904i −0.107176 + 1.21362i
\(303\) −20.3120 + 4.72904i −1.16689 + 0.271676i
\(304\) −6.73033 5.29377i −0.386011 0.303619i
\(305\) −6.04501 2.97422i −0.346136 0.170303i
\(306\) −17.0707 + 0.944101i −0.975866 + 0.0539706i
\(307\) 7.46889i 0.426272i −0.977023 0.213136i \(-0.931632\pi\)
0.977023 0.213136i \(-0.0683677\pi\)
\(308\) 0.331136 0.318731i 0.0188682 0.0181614i
\(309\) −17.3785 28.8017i −0.988628 1.63847i
\(310\) −9.44261 2.22248i −0.536304 0.126228i
\(311\) −1.58882 1.15434i −0.0900937 0.0654569i 0.541827 0.840490i \(-0.317733\pi\)
−0.631920 + 0.775033i \(0.717733\pi\)
\(312\) 13.0462 + 19.3666i 0.738594 + 1.09642i
\(313\) 7.60934 5.52851i 0.430105 0.312490i −0.351586 0.936156i \(-0.614357\pi\)
0.781691 + 0.623666i \(0.214357\pi\)
\(314\) −9.13768 0.806956i −0.515669 0.0455392i
\(315\) −0.324313 0.446140i −0.0182730 0.0251372i
\(316\) 9.40982 1.30681i 0.529344 0.0735138i
\(317\) −15.7657 5.12259i −0.885490 0.287713i −0.169255 0.985572i \(-0.554136\pi\)
−0.716235 + 0.697859i \(0.754136\pi\)
\(318\) 8.09743 + 16.5586i 0.454081 + 0.928560i
\(319\) −9.50845 3.08948i −0.532371 0.172978i
\(320\) 16.7581 + 6.25833i 0.936805 + 0.349851i
\(321\) 7.67185 + 32.9518i 0.428201 + 1.83919i
\(322\) 0.182686 0.209810i 0.0101807 0.0116923i
\(323\) −6.97896 5.07051i −0.388320 0.282131i
\(324\) 13.3068 12.1214i 0.739266 0.673414i
\(325\) −13.4630 + 19.6656i −0.746793 + 1.09085i
\(326\) −15.4638 25.7838i −0.856462 1.42803i
\(327\) −2.01042 1.74111i −0.111177 0.0962834i
\(328\) −8.17918 21.4644i −0.451619 1.18517i
\(329\) −0.164619 + 0.0534881i −0.00907576 + 0.00294889i
\(330\) −4.76571 + 14.5477i −0.262344 + 0.800827i
\(331\) 21.0227 + 6.83070i 1.15551 + 0.375449i 0.823218 0.567726i \(-0.192177\pi\)
0.332296 + 0.943175i \(0.392177\pi\)
\(332\) 9.05086 16.9554i 0.496731 0.930548i
\(333\) 12.6733 24.0495i 0.694492 1.31791i
\(334\) −11.1486 + 26.2050i −0.610024 + 1.43387i
\(335\) 28.4906 + 4.10441i 1.55661 + 0.224248i
\(336\) 0.565306 + 0.0702207i 0.0308399 + 0.00383085i
\(337\) −17.9878 + 13.0689i −0.979859 + 0.711909i −0.957677 0.287845i \(-0.907061\pi\)
−0.0221815 + 0.999754i \(0.507061\pi\)
\(338\) 5.38108 12.6483i 0.292692 0.687978i
\(339\) −17.8132 + 20.5686i −0.967480 + 1.11713i
\(340\) 17.1110 + 5.65602i 0.927975 + 0.306741i
\(341\) 5.03953 + 6.93631i 0.272906 + 0.375622i
\(342\) 9.06835 0.501528i 0.490360 0.0271195i
\(343\) 1.15055i 0.0621239i
\(344\) −6.47858 + 23.9438i −0.349301 + 1.29096i
\(345\) −2.09885 + 9.02529i −0.112999 + 0.485905i
\(346\) 4.07048 4.67485i 0.218830 0.251321i
\(347\) 0.624538 + 1.92213i 0.0335270 + 0.103185i 0.966420 0.256969i \(-0.0827239\pi\)
−0.932893 + 0.360155i \(0.882724\pi\)
\(348\) −4.44326 11.5675i −0.238184 0.620081i
\(349\) −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 \(-0.678279\pi\)
0.0681864 + 0.997673i \(0.478279\pi\)
\(354\) 15.9245 + 16.4561i 0.846377 + 0.874633i
\(355\) 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 \(-0.814417\pi\)
0.265641 + 0.964072i \(0.414417\pi\)
\(360\) −17.7283 + 6.76068i −0.934364 + 0.356319i
\(361\) −11.6639 8.47434i −0.613891 0.446018i
\(362\) −2.42238 + 5.69385i −0.127317 + 0.299262i
\(363\) −4.72836 + 2.85302i −0.248174 + 0.149745i
\(364\) −0.342454 0.705053i −0.0179495 0.0369548i
\(365\) −3.06722 1.50911i −0.160546 0.0789903i
\(366\) −3.45799 + 6.51982i −0.180752 + 0.340797i
\(367\) 24.7528 + 8.04268i 1.29209 + 0.419824i 0.872822 0.488040i \(-0.162288\pi\)
0.419265 + 0.907864i \(0.362288\pi\)
\(368\) −5.32556 7.95132i −0.277614 0.414491i
\(369\) 21.5538 + 11.3581i 1.12204 + 0.591279i
\(370\) −21.7061 + 18.7069i −1.12845 + 0.972523i
\(371\) −0.191195 0.588439i −0.00992637 0.0305502i
\(372\) −2.74808 + 10.2650i −0.142481 + 0.532217i
\(373\) 8.12792 + 5.90528i 0.420848 + 0.305764i 0.777979 0.628291i \(-0.216245\pi\)
−0.357131 + 0.934054i \(0.616245\pi\)
\(374\) −8.19243 13.6597i −0.423621 0.706328i
\(375\) −13.0860 14.2744i −0.675757 0.737125i
\(376\) 0.297069 + 5.94690i 0.0153202 + 0.306688i
\(377\) −10.0219 + 13.7940i −0.516154 + 0.710426i
\(378\) −0.499301 + 0.340239i −0.0256813 + 0.0175000i
\(379\) −19.9962 + 6.49717i −1.02714 + 0.333737i −0.773658 0.633604i \(-0.781575\pi\)
−0.253480 + 0.967341i \(0.581575\pi\)
\(380\) −9.08977 3.00461i −0.466296 0.154133i
\(381\) 26.0702 + 11.0092i 1.33562 + 0.564018i
\(382\) 19.8589 11.9104i 1.01607 0.609388i
\(383\) 5.78085 17.7916i 0.295387 0.909109i −0.687704 0.725992i \(-0.741381\pi\)
0.983091 0.183118i \(-0.0586189\pi\)
\(384\) 7.41082 18.1406i 0.378182 0.925731i
\(385\) 0.226853 0.461073i 0.0115615 0.0234984i
\(386\) 11.6621 + 1.02989i 0.593584 + 0.0524199i
\(387\) −11.6208 23.6039i −0.590720 1.19985i
\(388\) −2.28418 16.4475i −0.115962 0.834996i
\(389\) −11.8655 + 16.3314i −0.601603 + 0.828036i −0.995854 0.0909670i \(-0.971004\pi\)
0.394251 + 0.919003i \(0.371004\pi\)
\(390\) 21.0840 + 15.3964i 1.06763 + 0.779625i
\(391\) −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
\(396\) 15.7701 + 5.70285i 0.792478 + 0.286579i
\(397\) −1.91674 5.89913i −0.0961986 0.296069i 0.891366 0.453285i \(-0.149748\pi\)
−0.987564 + 0.157216i \(0.949748\pi\)
\(398\) 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 \(-0.171111\pi\)
\(402\) 5.44330 31.0587i 0.271487 1.54907i
\(403\) 13.9061 4.51837i 0.692713 0.225076i
\(404\) 4.22041 23.7088i 0.209973 1.17956i
\(405\) 9.37751 17.8062i 0.465972 0.884799i
\(406\) 0.0932364 + 0.405360i 0.00462724 + 0.0201177i
\(407\) 25.3262 1.25537
\(408\) 6.76308 18.5471i 0.334823 0.918217i
\(409\) 2.02333 1.47003i 0.100047 0.0726885i −0.536637 0.843813i \(-0.680306\pi\)
0.636684 + 0.771125i \(0.280306\pi\)
\(410\) −16.7655 19.4535i −0.827990 0.960742i
\(411\) 24.0706 27.7939i 1.18731 1.37097i
\(412\) 38.4731 5.34304i 1.89544 0.263233i
\(413\) −0.451814 0.621868i −0.0222323 0.0306001i
\(414\) 9.81221 + 2.59881i 0.482244 + 0.127725i
\(415\) 3.06403 21.2689i 0.150408 1.04405i
\(416\) −26.4887 + 5.03683i −1.29872 + 0.246951i
\(417\) −1.31644 0.555919i −0.0644662 0.0272235i
\(418\) 4.35201 + 7.25637i 0.212864 + 0.354921i
\(419\) −4.74511 + 14.6040i −0.231814 + 0.713450i 0.765714 + 0.643181i \(0.222386\pi\)
−0.997528 + 0.0702689i \(0.977614\pi\)
\(420\) 0.621024 0.141263i 0.0303029 0.00689294i
\(421\) 5.77668 + 17.7788i 0.281538 + 0.866486i 0.987415 + 0.158151i \(0.0505533\pi\)
−0.705877 + 0.708335i \(0.749447\pi\)
\(422\) −0.589792 + 0.677361i −0.0287106 + 0.0329734i
\(423\) −4.40392 4.52671i −0.214126 0.220096i
\(424\) −21.2575 + 1.06189i −1.03235 + 0.0515698i
\(425\) 20.1408 0.564180i 0.976974 0.0273668i
\(426\) 7.93061 3.87820i 0.384239 0.187899i
\(427\) 0.145610 0.200416i 0.00704658 0.00969879i
\(428\) −38.4625 6.84670i −1.85915 0.330948i
\(429\) −5.23226 22.4734i −0.252616 1.08502i
\(430\) 2.29915 + 27.6371i 0.110875 + 1.33278i
\(431\) −3.05905 + 9.41480i −0.147349 + 0.453495i −0.997306 0.0733583i \(-0.976628\pi\)
0.849956 + 0.526853i \(0.176628\pi\)
\(432\) 6.81187 + 19.6367i 0.327736 + 0.944769i
\(433\) −1.93188 + 5.94571i −0.0928401 + 0.285733i −0.986685 0.162644i \(-0.947998\pi\)
0.893845 + 0.448377i \(0.147998\pi\)
\(434\) 0.139642 0.328230i 0.00670301 0.0157555i
\(435\) −9.07238 10.4703i −0.434987 0.502014i
\(436\) 2.76239 1.34173i 0.132294 0.0642572i
\(437\) 3.01042 + 4.14348i 0.144008 + 0.198210i
\(438\) −1.75457 + 3.30814i −0.0838366 + 0.158069i
\(439\) 12.2442 16.8527i 0.584384 0.804335i −0.409784 0.912183i \(-0.634396\pi\)
0.994167 + 0.107847i \(0.0343958\pi\)
\(440\) −13.2721 11.6754i −0.632724 0.556605i
\(441\) −18.8222 + 9.26671i −0.896297 + 0.441272i
\(442\) −26.4727 + 6.08895i −1.25918 + 0.289622i
\(443\) 16.6148 0.789392 0.394696 0.918812i \(-0.370850\pi\)
0.394696 + 0.918812i \(0.370850\pi\)
\(444\) 19.7597 + 24.3901i 0.937752 + 1.15751i
\(445\) 10.4399 21.2188i 0.494899 1.00587i
\(446\) 8.23915 9.46245i 0.390135 0.448060i
\(447\) 4.46790 1.04022i 0.211325 0.0492006i
\(448\) −0.331672 + 0.568033i −0.0156701 + 0.0268371i
\(449\) 6.28383i 0.296552i 0.988946 + 0.148276i \(0.0473725\pi\)
−0.988946 + 0.148276i \(0.952628\pi\)
\(450\) −16.0655 + 13.8528i −0.757336 + 0.653025i
\(451\) 22.6979i 1.06880i
\(452\) −13.7272 28.2619i −0.645673 1.32933i
\(453\) 25.2555 5.87999i 1.18661 0.276266i
\(454\) 9.56268 + 8.32642i 0.448799 + 0.390778i
\(455\) −0.628280 0.610928i −0.0294542 0.0286407i
\(456\) −3.59271 + 9.85264i −0.168244 + 0.461392i
\(457\) 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
\(459\) 7.61246 + 19.5064i 0.355319 + 0.910481i
\(460\) −8.62408 6.33298i −0.402100 0.295277i
\(461\) −17.2404 + 23.7294i −0.802965 + 1.10519i 0.189406 + 0.981899i \(0.439344\pi\)
−0.992371 + 0.123288i \(0.960656\pi\)
\(462\) −0.497288 0.263752i −0.0231359 0.0122709i
\(463\) 11.7805 + 16.2144i 0.547485 + 0.753549i 0.989668 0.143376i \(-0.0457958\pi\)
−0.442183 + 0.896925i \(0.645796\pi\)
\(464\) 14.2980 + 0.546025i 0.663769 + 0.0253486i
\(465\) 1.01656 + 11.8372i 0.0471418 + 0.548939i
\(466\) −2.64493 1.12525i −0.122524 0.0521264i
\(467\) 4.60747 14.1803i 0.213208 0.656188i −0.786067 0.618141i \(-0.787886\pi\)
0.999276 0.0380475i \(-0.0121138\pi\)
\(468\) 17.5605 22.5728i 0.811735 1.04343i
\(469\) −0.327075 + 1.00663i −0.0151029 + 0.0464820i
\(470\) 2.57498 + 6.13896i 0.118775 + 0.283169i
\(471\) 2.54757 + 10.9422i 0.117386 + 0.504191i
\(472\) −24.7091 + 9.41559i −1.13733 + 0.433388i
\(473\) 14.4072 19.8298i 0.662444 0.911776i
\(474\) −5.11139 10.4524i −0.234774 0.480094i
\(475\) −10.6993 + 0.299706i −0.490917 + 0.0137514i
\(476\) −0.312058 + 0.584592i −0.0143031 + 0.0267947i
\(477\) 16.1809 15.7420i 0.740873 0.720777i
\(478\) 12.9799 + 11.3018i 0.593686 + 0.516934i
\(479\) −0.851191 2.61970i −0.0388919 0.119697i 0.929726 0.368253i \(-0.120044\pi\)
−0.968618 + 0.248556i \(0.920044\pi\)
\(480\) 0.888922 21.8909i 0.0405736 0.999177i
\(481\) 13.3469 41.0775i 0.608566 1.87297i
\(482\) −24.8003 + 14.8740i −1.12962 + 0.677493i
\(483\) −0.313883 0.132550i −0.0142822 0.00603122i
\(484\) −0.877164 6.31612i −0.0398711 0.287096i
\(485\) −8.65929 16.4222i −0.393198 0.745695i
\(486\) −19.1843 10.8610i −0.870218 0.492667i
\(487\) 14.5777 + 20.0645i 0.660580 + 0.909211i 0.999500 0.0316045i \(-0.0100617\pi\)
−0.338920 + 0.940815i \(0.610062\pi\)
\(488\) −5.34671 6.63579i −0.242034 0.300388i
\(489\) −24.1062 + 27.8350i −1.09012 + 1.25874i
\(490\) 22.0384 1.83339i 0.995595 0.0828241i
\(491\) −12.2246 + 8.88168i −0.551688 + 0.400825i −0.828407 0.560126i \(-0.810753\pi\)
0.276720 + 0.960951i \(0.410753\pi\)
\(492\) −21.8590 + 17.7091i −0.985480 + 0.798386i
\(493\) 14.4149 0.649213
\(494\) 14.0629 3.23459i 0.632720 0.145531i
\(495\) 18.7490 0.00476303i 0.842703 0.000214082i
\(496\) −9.64453 7.58596i −0.433052 0.340619i
\(497\) −0.281828 + 0.0915715i −0.0126417 + 0.00410754i
\(498\) −23.1860 4.06355i −1.03899 0.182092i
\(499\) 30.5698i 1.36849i 0.729251 + 0.684246i \(0.239869\pi\)
−0.729251 + 0.684246i \(0.760131\pi\)
\(500\) 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 0.842826 + 0.538186i \(0.180890\pi\)
−0.365523 + 0.930802i \(0.619110\pi\)
\(504\) −0.133984 0.684690i −0.00596812 0.0304985i
\(505\) −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 \(-0.131703\pi\)
−0.665315 + 0.746563i \(0.731703\pi\)
\(510\) 0.0532911 22.0718i 0.00235977 0.977355i
\(511\) 0.0738822 0.101690i 0.00326836 0.00449851i
\(512\) 15.8821 + 16.1171i 0.701895 + 0.712280i
\(513\) −4.04392 10.3623i −0.178543 0.457505i
\(514\) 0.410234 4.64534i 0.0180947 0.204897i
\(515\) 38.4140 20.2553i 1.69272 0.892557i
\(516\) 30.3375 1.59664i 1.33554 0.0702880i
\(517\) 1.81819 5.59582i 0.0799641 0.246104i
\(518\) −0.541939 0.903607i −0.0238114 0.0397022i
\(519\) −6.99372 2.95338i −0.306990 0.129639i
\(520\) −25.9313 + 15.3736i −1.13716 + 0.674178i
\(521\) 6.92987 2.25165i 0.303603 0.0986467i −0.153254 0.988187i \(-0.548975\pi\)
0.456857 + 0.889540i \(0.348975\pi\)
\(522\) −11.7666 + 9.58486i −0.515012 + 0.419518i
\(523\) −2.74254 + 3.77479i −0.119923 + 0.165060i −0.864758 0.502189i \(-0.832528\pi\)
0.744835 + 0.667249i \(0.232528\pi\)
\(524\) 14.3772 26.9335i 0.628072 1.17660i
\(525\) 0.599137 0.384797i 0.0261485 0.0167939i
\(526\) −5.78449 + 3.46925i −0.252216 + 0.151267i
\(527\) −10.0008 7.26602i −0.435643 0.316513i
\(528\) −13.2261 + 14.1432i −0.575591 + 0.615502i
\(529\) −5.33856 16.4304i −0.232111 0.714365i
\(530\) −21.9440 + 9.20436i −0.953186 + 0.399812i
\(531\) 13.0751 24.8120i 0.567409 1.07675i
\(532\) 0.165772 0.310549i 0.00718715 0.0134640i
\(533\) 36.8146 + 11.9618i 1.59462 + 0.518123i
\(534\) −22.8855 12.1380i −0.990351 0.525263i
\(535\) −43.0407 + 7.43617i −1.86081 + 0.321494i
\(536\) 30.4875 + 19.9051i 1.31686 + 0.859768i
\(537\) −24.2900 + 14.6562i −1.04819 + 0.632463i
\(538\) −2.08243 0.885944i −0.0897798 0.0381957i
\(539\) −15.8127 11.4886i −0.681103 0.494850i
\(540\) 14.6327 + 18.0523i 0.629689 + 0.776847i
\(541\) −1.99675 + 1.45073i −0.0858471 + 0.0623716i −0.629881 0.776692i \(-0.716896\pi\)
0.544034 + 0.839063i \(0.316896\pi\)
\(542\) −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
\(546\) −0.689860 + 0.667574i −0.0295233 + 0.0285695i
\(547\) 16.6404 5.40680i 0.711493 0.231178i 0.0691620 0.997605i \(-0.477967\pi\)
0.642331 + 0.766427i \(0.277967\pi\)
\(548\) 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
\(552\) −7.22156 + 9.23184i −0.307370 + 0.392933i
\(553\) 0.120690 + 0.371444i 0.00513224 + 0.0157954i
\(554\) 30.7283 + 26.7558i 1.30552 + 1.13674i
\(555\) 30.0533 + 18.1233i 1.27569 + 0.769291i
\(556\) 1.18883 1.14430i 0.0504177 0.0485291i
\(557\) 30.9896i 1.31307i −0.754295 0.656535i \(-0.772021\pi\)
0.754295 0.656535i \(-0.227979\pi\)
\(558\) 12.9949 0.718688i 0.550118 0.0304245i
\(559\) −24.5702 33.8179i −1.03921 1.43035i
\(560\) −0.132564 + 0.723369i −0.00560184 + 0.0305679i
\(561\) −12.7710 + 14.7464i −0.539192 + 0.622596i
\(562\) 19.7087 + 8.38484i 0.831362 + 0.353693i
\(563\) −3.93582 + 2.85954i −0.165875 + 0.120515i −0.667626 0.744497i \(-0.732689\pi\)
0.501751 + 0.865012i \(0.332689\pi\)
\(564\) 6.80757 2.61491i 0.286651 0.110107i
\(565\) −25.1845 24.4889i −1.05952 1.03025i
\(566\) −9.57838 4.07501i −0.402609 0.171285i
\(567\) 0.586486 + 0.451254i 0.0246301 + 0.0189509i
\(568\) 0.508582 + 10.1811i 0.0213396 + 0.427189i
\(569\) −20.6253 6.70156i −0.864656 0.280944i −0.157084 0.987585i \(-0.550209\pi\)
−0.707572 + 0.706641i \(0.750209\pi\)
\(570\) −0.0283095 + 11.7250i −0.00118575 + 0.491108i
\(571\) 0.104477 0.0339467i 0.00437223 0.00142062i −0.306830 0.951764i \(-0.599268\pi\)
0.311202 + 0.950344i \(0.399268\pi\)
\(572\) 26.2317 + 4.66950i 1.09680 + 0.195242i
\(573\) −21.4388 18.5668i −0.895618 0.775641i
\(574\) 0.809834 0.485698i 0.0338018 0.0202727i
\(575\) −11.4761 3.37661i −0.478585 0.140814i
\(576\) −23.9395 1.70265i −0.997480 0.0709439i
\(577\) 10.6652 + 7.74875i 0.444000 + 0.322585i 0.787222 0.616669i \(-0.211518\pi\)
−0.343222 + 0.939254i \(0.611518\pi\)
\(578\) −0.811789 0.706841i −0.0337660 0.0294007i
\(579\) −3.25137 13.9652i −0.135122 0.580372i
\(580\) 15.2393 4.86605i 0.632777 0.202052i
\(581\) 0.751475 + 0.244169i 0.0311764 + 0.0101298i
\(582\) −18.2698 + 8.93425i −0.757309 + 0.370337i
\(583\) 20.0025 + 6.49921i 0.828420 + 0.269170i
\(584\) −2.71290 3.36698i −0.112261 0.139326i
\(585\) 9.87297 30.4122i 0.408197 1.25739i
\(586\) −1.27209 + 14.4047i −0.0525497 + 0.595054i
\(587\) 6.42275 4.66640i 0.265095 0.192603i −0.447295 0.894386i \(-0.647613\pi\)
0.712390 + 0.701783i \(0.247613\pi\)
\(588\) −1.27319 24.1918i −0.0525056 0.997654i
\(589\) 5.31267 + 3.85988i 0.218905 + 0.159044i
\(590\) −22.3943 + 19.2999i −0.921958 + 0.794564i
\(591\) −10.9194 18.0968i −0.449162 0.744404i
\(592\) −34.8742 + 9.87696i −1.43332 + 0.405940i
\(593\) 23.1318i 0.949910i 0.880010 + 0.474955i \(0.157536\pi\)
−0.880010 + 0.474955i \(0.842464\pi\)
\(594\) 0.619445 20.5291i 0.0254161 0.842320i
\(595\) −0.105643 + 0.733314i −0.00433092 + 0.0300630i
\(596\) −0.928338 + 5.21509i −0.0380262 + 0.213618i
\(597\) −36.9753 + 8.60860i −1.51330 + 0.352326i
\(598\) 16.0650 + 1.41871i 0.656945 + 0.0580154i
\(599\) −13.8053 −0.564071 −0.282035 0.959404i \(-0.591010\pi\)
−0.282035 + 0.959404i \(0.591010\pi\)
\(600\) −7.39447 23.3521i −0.301878 0.953347i
\(601\) 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
\(603\) −38.2228 + 5.51635i −1.55655 + 0.224643i
\(604\) −5.24757 + 29.4790i −0.213520 + 1.19949i
\(605\) −3.32531 6.30641i −0.135193 0.256392i
\(606\) −29.2024 + 4.13501i −1.18627 + 0.167973i
\(607\) 36.6312i 1.48682i 0.668838 + 0.743408i \(0.266792\pi\)
−0.668838 + 0.743408i \(0.733208\pi\)
\(608\) −8.82264 8.29480i −0.357805 0.336398i
\(609\) 0.436176 0.263182i 0.0176748 0.0106647i
\(610\) −8.14578 4.94191i −0.329813 0.200092i
\(611\) −8.11790 5.89800i −0.328415 0.238607i
\(612\) −24.1655 0.793717i −0.976831 0.0320841i
\(613\) −15.4549 + 11.2286i −0.624217 + 0.453520i −0.854392 0.519629i \(-0.826070\pi\)
0.230175 + 0.973149i \(0.426070\pi\)
\(614\) 0.929177 10.5217i 0.0374985 0.424619i
\(615\) −16.2425 + 26.9345i −0.654961 + 1.08610i
\(616\) 0.506133 0.407811i 0.0203927 0.0164312i
\(617\) −19.8963 6.46469i −0.800994 0.260259i −0.120215 0.992748i \(-0.538358\pi\)
−0.680779 + 0.732489i \(0.738358\pi\)
\(618\) −20.8985 42.7358i −0.840661 1.71909i
\(619\) 24.5117 + 7.96433i 0.985208 + 0.320114i 0.756940 0.653485i \(-0.226694\pi\)
0.228269 + 0.973598i \(0.426694\pi\)
\(620\) −13.0256 4.30560i −0.523121 0.172917i
\(621\) −0.719618 12.4110i −0.0288773 0.498035i
\(622\) −2.09461 1.82382i −0.0839863 0.0731285i
\(623\) 0.703486 + 0.511112i 0.0281846 + 0.0204773i
\(624\) 15.9692 + 28.9053i 0.639280 + 1.15714i
\(625\) 19.3711 15.8038i 0.774844 0.632152i
\(626\) 11.4073 6.84153i 0.455927 0.273443i
\(627\) 6.78426 7.83366i 0.270937 0.312846i
\(628\) −12.7721 2.27357i −0.509664 0.0907253i
\(629\) −34.7283 + 11.2839i −1.38471 + 0.449919i
\(630\) −0.401367 0.668838i −0.0159909 0.0266471i
\(631\) 9.50638 + 3.08881i 0.378443 + 0.122964i 0.492061 0.870561i \(-0.336244\pi\)
−0.113617 + 0.993525i \(0.536244\pi\)
\(632\) 13.4185 0.670302i 0.533759 0.0266632i
\(633\) 1.01335 + 0.427929i 0.0402772 + 0.0170087i
\(634\) −21.5724 9.17770i −0.856748 0.364493i
\(635\) −16.1289 + 32.7814i −0.640054 + 1.30089i
\(636\) 9.34710 + 24.3340i 0.370637 + 0.964905i
\(637\) −26.9672 + 19.5928i −1.06848 + 0.776294i
\(638\) −13.0105 5.53516i −0.515091 0.219139i
\(639\) −7.53951 7.74972i −0.298258 0.306574i
\(640\) 22.8291 + 10.9011i 0.902398 + 0.430904i
\(641\) 18.6448 + 25.6623i 0.736424 + 1.01360i 0.998816 + 0.0486391i \(0.0154884\pi\)
−0.262393 + 0.964961i \(0.584512\pi\)
\(642\) 6.70816 + 47.3747i 0.264750 + 1.86973i
\(643\) 7.49503i 0.295575i −0.989019 0.147788i \(-0.952785\pi\)
0.989019 0.147788i \(-0.0472152\pi\)
\(644\) 0.283457 0.272839i 0.0111698 0.0107514i
\(645\) 31.2864 13.2213i 1.23190 0.520589i
\(646\) −9.20068 8.01121i −0.361996 0.315197i
\(647\) −6.63326 20.4151i −0.260780 0.802600i −0.992636 0.121139i \(-0.961345\pi\)
0.731855 0.681460i \(-0.238655\pi\)
\(648\) 20.2537 15.4204i 0.795639 0.605771i
\(649\) 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 \(-0.689502\pi\)
0.0329758 + 0.999456i \(0.489502\pi\)
\(654\) −2.61554 2.70286i −0.102276 0.105690i
\(655\) 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 \(-0.467610\pi\)
0.977527 + 0.210810i \(0.0676101\pi\)
\(660\) −8.52344 + 19.9010i −0.331774 + 0.774645i
\(661\) −25.8902 18.8103i −1.00701 0.731636i −0.0434305 0.999056i \(-0.513829\pi\)
−0.963580 + 0.267421i \(0.913829\pi\)
\(662\) 28.7656 + 12.2380i 1.11801 + 0.475643i
\(663\) 17.1875 + 28.4852i 0.667508 + 1.10627i
\(664\) 14.8596 22.7596i 0.576664 0.883244i
\(665\) 0.0561198 0.389554i 0.00217623 0.0151062i
\(666\) 20.8452 32.3027i 0.807734 1.25170i
\(667\) −8.13938 2.64465i −0.315158 0.102401i
\(668\) −18.9654 + 35.5288i −0.733795 + 1.37465i
\(669\) −14.1561 5.97799i −0.547307 0.231123i
\(670\) 39.6250 + 9.32642i 1.53085 + 0.360311i
\(671\) 2.60219 + 8.00872i 0.100457 + 0.309173i
\(672\) 0.787628 + 0.169250i 0.0303834 + 0.00652895i
\(673\) 4.52179 + 3.28527i 0.174302 + 0.126638i 0.671516 0.740990i \(-0.265644\pi\)
−0.497214 + 0.867628i \(0.665644\pi\)
\(674\) −26.9658 + 16.1728i −1.03869 + 0.622952i
\(675\) 22.2518 + 13.4110i 0.856474 + 0.516190i
\(676\) 9.15403 17.1487i 0.352078 0.659564i
\(677\) −6.37681 + 8.77693i −0.245081 + 0.337325i −0.913781 0.406207i \(-0.866851\pi\)
0.668700 + 0.743532i \(0.266851\pi\)
\(678\) −27.6529 + 26.7595i −1.06200 + 1.02769i
\(679\) 0.649251 0.210954i 0.0249160 0.00809569i
\(680\) 23.4012 + 10.0965i 0.897394 + 0.387184i
\(681\) 6.04132 14.3061i 0.231504 0.548210i
\(682\) 6.23642 + 10.3983i 0.238805 + 0.398173i
\(683\) −13.1133 + 40.3586i −0.501766 + 1.54428i 0.304374 + 0.952553i \(0.401553\pi\)
−0.806140 + 0.591725i \(0.798447\pi\)
\(684\) 12.8373 + 0.421641i 0.490845 + 0.0161219i
\(685\) 34.0312 + 33.0912i 1.30026 + 1.26435i
\(686\) −0.143136 + 1.62082i −0.00546495 + 0.0618831i
\(687\) 6.42020 3.87385i 0.244946 0.147797i
\(688\) −12.1053 + 32.9244i −0.461511 + 1.25523i
\(689\) 21.0827 29.0178i 0.803185 1.10549i
\(690\) −4.07952 + 12.4531i −0.155305 + 0.474081i
\(691\) −10.2098 14.0525i −0.388398 0.534584i 0.569387 0.822070i \(-0.307181\pi\)
−0.957785 + 0.287486i \(0.907181\pi\)
\(692\) 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
\(696\) −4.82030 16.8482i −0.182713 0.638630i
\(697\) −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 \(0.706328\pi\)
\(702\) −32.9705 11.8235i −1.24439 0.446251i
\(703\) 18.4485 5.99427i 0.695797 0.226078i
\(704\) −8.99430 20.4706i −0.338985 0.771516i
\(705\) 6.16190 5.33919i 0.232071 0.201086i
\(706\) −12.6080 + 2.89995i −0.474507 + 0.109141i
\(707\) 0.990015 0.0372333
\(708\) 20.3861 + 25.1634i 0.766156 + 0.945697i
\(709\) −14.8691 + 10.8030i −0.558420 + 0.405716i −0.830880 0.556451i \(-0.812163\pi\)
0.272460 + 0.962167i \(0.412163\pi\)
\(710\) 4.40836 + 10.5099i 0.165443 + 0.394429i
\(711\) −10.2140 + 9.93693i −0.383054 + 0.372664i
\(712\) 23.2925 18.7677i 0.872924 0.703349i
\(713\) 4.31391 + 5.93759i 0.161557 + 0.222365i
\(714\) 0.799414 + 0.140104i 0.0299173 + 0.00524326i
\(715\) 29.3541 5.07152i 1.09778 0.189664i
\(716\) −4.50608 32.4465i −0.168400 1.21258i
\(717\) 8.20016 19.4183i 0.306241 0.725190i
\(718\) −16.1665 + 9.69588i −0.603329 + 0.361847i
\(719\) 14.8203 45.6122i 0.552704 1.70105i −0.149227 0.988803i \(-0.547678\pi\)
0.701931 0.712245i \(-0.252322\pi\)
\(720\) −25.8155 + 7.31846i −0.962087 + 0.272743i
\(721\) 0.493453 + 1.51869i 0.0183771 + 0.0565590i
\(722\) −15.3771 13.3891i −0.572276 0.498292i
\(723\) 26.7734 + 23.1868i 0.995712 + 0.862326i
\(724\) −4.12083 + 7.71974i −0.153149 + 0.286902i
\(725\) 14.1697 10.9139i 0.526249 0.405332i
\(726\) −7.01591 + 3.43090i −0.260385 + 0.127333i
\(727\) −8.35057 + 11.4936i −0.309705 + 0.426273i −0.935289 0.353884i \(-0.884861\pi\)
0.625584 + 0.780157i \(0.284861\pi\)
\(728\) −0.394713 1.03583i −0.0146290 0.0383906i
\(729\) −5.31972 + 26.4707i −0.197027 + 0.980398i
\(730\) −4.13314 2.50751i −0.152974 0.0928070i
\(731\) −10.9207 + 33.6105i −0.403917 + 1.24313i
\(732\) −5.68248 + 8.75448i −0.210030 + 0.323575i
\(733\) −11.8497 + 36.4697i −0.437680 + 1.34704i 0.452636 + 0.891695i \(0.350484\pi\)
−0.890316 + 0.455344i \(0.849516\pi\)
\(734\) 33.8695 + 14.4094i 1.25015 + 0.531860i
\(735\) −10.5430 24.9485i −0.388883 0.920239i
\(736\) −6.51309 11.8638i −0.240076 0.437306i
\(737\) −21.1479 29.1076i −0.778992 1.07219i
\(738\) 28.9504 + 18.6819i 1.06568 + 0.687691i
\(739\) 9.88757 13.6091i 0.363720 0.500618i −0.587461 0.809253i \(-0.699872\pi\)
0.951180 + 0.308635i \(0.0998722\pi\)
\(740\) −32.9054 + 23.6525i −1.20963 + 0.869485i
\(741\) −9.13041 15.1320i −0.335414 0.555888i
\(742\) −0.196137 0.852738i −0.00720043 0.0313050i
\(743\) −24.3161 −0.892071 −0.446035 0.895015i \(-0.647164\pi\)
−0.446035 + 0.895015i \(0.647164\pi\)
\(744\) −5.14834 + 14.1188i −0.188747 + 0.517620i
\(745\) 1.00826 + 5.83584i 0.0369399 + 0.213809i
\(746\) 10.7154 + 9.33011i 0.392319 + 0.341600i
\(747\) 4.11808 + 28.5342i 0.150673 + 1.04401i
\(748\) −9.84158 20.2621i −0.359844 0.740855i
\(749\) 1.60609i 0.0586851i
\(750\) −16.6588 21.7367i −0.608293 0.793712i
\(751\) 20.5712i 0.750654i 0.926892 + 0.375327i \(0.122470\pi\)
−0.926892 + 0.375327i \(0.877530\pi\)
\(752\) −0.321341 + 8.41454i −0.0117181 + 0.306847i
\(753\) −0.123743 0.531497i −0.00450945 0.0193688i
\(754\) −15.8342 + 18.1852i −0.576649 + 0.662266i
\(755\) 5.69936 + 32.9880i 0.207421 + 1.20055i
\(756\) −0.745709 + 0.417189i −0.0271212 + 0.0151730i
\(757\) −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
\(759\) 9.91666 5.98356i 0.359952 0.217189i
\(760\) −12.4313 5.36351i −0.450929 0.194555i
\(761\) 16.1791 22.2686i 0.586492 0.807237i −0.407897 0.913028i \(-0.633738\pi\)
0.994388 + 0.105792i \(0.0337376\pi\)
\(762\) 35.3563 + 18.7523i 1.28082 + 0.679323i
\(763\) 0.0742088 + 0.102140i 0.00268654 + 0.00369770i
\(764\) 29.4576 14.3080i 1.06574 0.517644i
\(765\) −25.7072 + 8.35999i −0.929446 + 0.302256i
\(766\) 10.3570 24.3444i 0.374215 0.879600i
\(767\) 13.7700 42.3798i 0.497207 1.53024i
\(768\) 12.6966 24.6332i 0.458151 0.888874i
\(769\) −5.61828 + 17.2913i −0.202601 + 0.623540i 0.797203 + 0.603712i \(0.206312\pi\)
−0.999803 + 0.0198288i \(0.993688\pi\)
\(770\) 0.376936 0.621306i 0.0135838 0.0223903i
\(771\) −5.56272 + 1.29512i −0.200337 + 0.0466424i
\(772\) 16.3006 + 2.90167i 0.586671 + 0.104433i
\(773\) 12.7699 17.5762i 0.459300 0.632172i −0.515064 0.857152i \(-0.672232\pi\)