Properties

Label 384.2.w.a.11.17
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.17
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.02490 - 0.974463i) q^{2} +(1.27873 + 1.16826i) q^{3} +(0.100842 + 1.99746i) q^{4} +(-1.18082 - 0.631161i) q^{5} +(-0.172143 - 2.44343i) q^{6} +(4.72705 + 0.940268i) q^{7} +(1.84309 - 2.14546i) q^{8} +(0.270316 + 2.98780i) q^{9} +O(q^{10})\) \(q+(-1.02490 - 0.974463i) q^{2} +(1.27873 + 1.16826i) q^{3} +(0.100842 + 1.99746i) q^{4} +(-1.18082 - 0.631161i) q^{5} +(-0.172143 - 2.44343i) q^{6} +(4.72705 + 0.940268i) q^{7} +(1.84309 - 2.14546i) q^{8} +(0.270316 + 2.98780i) q^{9} +(0.595179 + 1.79754i) q^{10} +(-2.00468 + 1.64520i) q^{11} +(-2.20461 + 2.67202i) q^{12} +(-2.66435 + 1.42412i) q^{13} +(-3.92850 - 5.57002i) q^{14} +(-0.772589 - 2.18659i) q^{15} +(-3.97966 + 0.402855i) q^{16} +(0.706373 - 0.292589i) q^{17} +(2.63445 - 3.32561i) q^{18} +(0.347855 - 1.14672i) q^{19} +(1.14164 - 2.42228i) q^{20} +(4.94615 + 6.72479i) q^{21} +(3.65779 + 0.267323i) q^{22} +(7.23454 + 4.83397i) q^{23} +(4.86329 - 0.590249i) q^{24} +(-1.78188 - 2.66677i) q^{25} +(4.11844 + 1.13672i) q^{26} +(-3.14487 + 4.13639i) q^{27} +(-1.40146 + 9.53689i) q^{28} +(0.806075 + 0.661529i) q^{29} +(-1.33893 + 2.99390i) q^{30} +(4.36685 - 4.36685i) q^{31} +(4.47132 + 3.46515i) q^{32} +(-4.48549 - 0.238228i) q^{33} +(-1.00908 - 0.388460i) q^{34} +(-4.98833 - 4.09381i) q^{35} +(-5.94073 + 0.841240i) q^{36} +(3.22856 + 10.6431i) q^{37} +(-1.47396 + 0.836307i) q^{38} +(-5.07074 - 1.29159i) q^{39} +(-3.53049 + 1.37011i) q^{40} +(0.972588 + 0.649862i) q^{41} +(1.48375 - 11.7121i) q^{42} +(0.495666 - 5.03258i) q^{43} +(-3.48838 - 3.83836i) q^{44} +(1.56659 - 3.69866i) q^{45} +(-2.70416 - 12.0041i) q^{46} +(-6.98651 + 2.89391i) q^{47} +(-5.55957 - 4.13415i) q^{48} +(14.9937 + 6.21060i) q^{49} +(-0.772423 + 4.46956i) q^{50} +(1.24508 + 0.451087i) q^{51} +(-3.11330 - 5.17830i) q^{52} +(7.86417 - 6.45395i) q^{53} +(7.25395 - 1.17483i) q^{54} +(3.40556 - 0.677407i) q^{55} +(10.7297 - 8.40869i) q^{56} +(1.78449 - 1.05997i) q^{57} +(-0.181511 - 1.46349i) q^{58} +(-5.66199 - 3.02640i) q^{59} +(4.28972 - 1.76371i) q^{60} +(-0.987848 - 10.0298i) q^{61} +(-8.73093 + 0.220251i) q^{62} +(-1.53153 + 14.3776i) q^{63} +(-1.20600 - 7.90858i) q^{64} +4.04496 q^{65} +(4.36503 + 4.61510i) q^{66} +(-7.67658 + 0.756077i) q^{67} +(0.655666 + 1.38144i) q^{68} +(3.60370 + 14.6332i) q^{69} +(1.12327 + 9.05669i) q^{70} +(-13.5934 - 2.70389i) q^{71} +(6.90842 + 4.92684i) q^{72} +(-1.05096 - 5.28356i) q^{73} +(7.06240 - 14.0543i) q^{74} +(0.836947 - 5.49180i) q^{75} +(2.32561 + 0.579187i) q^{76} +(-11.0232 + 5.89201i) q^{77} +(3.93840 + 6.26500i) q^{78} +(0.541135 - 1.30642i) q^{79} +(4.95353 + 2.03611i) q^{80} +(-8.85386 + 1.61530i) q^{81} +(-0.363539 - 1.61380i) q^{82} +(3.23156 - 10.6530i) q^{83} +(-12.9337 + 10.5579i) q^{84} +(-1.01877 - 0.100340i) q^{85} +(-5.41207 + 4.67488i) q^{86} +(0.257914 + 1.78763i) q^{87} +(-0.165108 + 7.33324i) q^{88} +(0.415249 + 0.621464i) q^{89} +(-5.20980 + 2.26418i) q^{90} +(-13.9335 + 4.22669i) q^{91} +(-8.92609 + 14.9381i) q^{92} +(10.6857 - 0.482400i) q^{93} +(9.98048 + 3.84213i) q^{94} +(-1.13452 + 1.13452i) q^{95} +(1.66942 + 9.65469i) q^{96} +(-11.2498 - 11.2498i) q^{97} +(-9.31506 - 20.9761i) q^{98} +(-5.45743 - 5.54487i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.02490 0.974463i −0.724714 0.689050i
\(3\) 1.27873 + 1.16826i 0.738277 + 0.674498i
\(4\) 0.100842 + 1.99746i 0.0504210 + 0.998728i
\(5\) −1.18082 0.631161i −0.528078 0.282264i 0.185735 0.982600i \(-0.440533\pi\)
−0.713813 + 0.700336i \(0.753033\pi\)
\(6\) −0.172143 2.44343i −0.0702771 0.997528i
\(7\) 4.72705 + 0.940268i 1.78666 + 0.355388i 0.973858 0.227158i \(-0.0729434\pi\)
0.812798 + 0.582546i \(0.197943\pi\)
\(8\) 1.84309 2.14546i 0.651632 0.758535i
\(9\) 0.270316 + 2.98780i 0.0901054 + 0.995932i
\(10\) 0.595179 + 1.79754i 0.188212 + 0.568433i
\(11\) −2.00468 + 1.64520i −0.604435 + 0.496047i −0.886118 0.463461i \(-0.846608\pi\)
0.281682 + 0.959508i \(0.409108\pi\)
\(12\) −2.20461 + 2.67202i −0.636415 + 0.771347i
\(13\) −2.66435 + 1.42412i −0.738957 + 0.394981i −0.797512 0.603304i \(-0.793851\pi\)
0.0585550 + 0.998284i \(0.481351\pi\)
\(14\) −3.92850 5.57002i −1.04993 1.48865i
\(15\) −0.772589 2.18659i −0.199482 0.564576i
\(16\) −3.97966 + 0.402855i −0.994915 + 0.100714i
\(17\) 0.706373 0.292589i 0.171321 0.0709633i −0.295375 0.955381i \(-0.595444\pi\)
0.466695 + 0.884418i \(0.345444\pi\)
\(18\) 2.63445 3.32561i 0.620946 0.783853i
\(19\) 0.347855 1.14672i 0.0798034 0.263077i −0.907955 0.419068i \(-0.862357\pi\)
0.987758 + 0.155991i \(0.0498570\pi\)
\(20\) 1.14164 2.42228i 0.255278 0.541639i
\(21\) 4.94615 + 6.72479i 1.07934 + 1.46747i
\(22\) 3.65779 + 0.267323i 0.779844 + 0.0569935i
\(23\) 7.23454 + 4.83397i 1.50851 + 1.00795i 0.988062 + 0.154056i \(0.0492337\pi\)
0.520444 + 0.853896i \(0.325766\pi\)
\(24\) 4.86329 0.590249i 0.992715 0.120484i
\(25\) −1.78188 2.66677i −0.356376 0.533355i
\(26\) 4.11844 + 1.13672i 0.807693 + 0.222930i
\(27\) −3.14487 + 4.13639i −0.605231 + 0.796050i
\(28\) −1.40146 + 9.53689i −0.264851 + 1.80230i
\(29\) 0.806075 + 0.661529i 0.149684 + 0.122843i 0.706255 0.707957i \(-0.250383\pi\)
−0.556571 + 0.830800i \(0.687883\pi\)
\(30\) −1.33893 + 2.99390i −0.244454 + 0.546609i
\(31\) 4.36685 4.36685i 0.784310 0.784310i −0.196245 0.980555i \(-0.562875\pi\)
0.980555 + 0.196245i \(0.0628748\pi\)
\(32\) 4.47132 + 3.46515i 0.790426 + 0.612558i
\(33\) −4.48549 0.238228i −0.780823 0.0414701i
\(34\) −1.00908 0.388460i −0.173056 0.0666203i
\(35\) −4.98833 4.09381i −0.843181 0.691981i
\(36\) −5.94073 + 0.841240i −0.990122 + 0.140207i
\(37\) 3.22856 + 10.6431i 0.530772 + 1.74972i 0.653140 + 0.757237i \(0.273451\pi\)
−0.122368 + 0.992485i \(0.539049\pi\)
\(38\) −1.47396 + 0.836307i −0.239108 + 0.135667i
\(39\) −5.07074 1.29159i −0.811968 0.206820i
\(40\) −3.53049 + 1.37011i −0.558220 + 0.216634i
\(41\) 0.972588 + 0.649862i 0.151893 + 0.101491i 0.629194 0.777248i \(-0.283385\pi\)
−0.477301 + 0.878740i \(0.658385\pi\)
\(42\) 1.48375 11.7121i 0.228948 1.80721i
\(43\) 0.495666 5.03258i 0.0755883 0.767461i −0.880434 0.474168i \(-0.842749\pi\)
0.956023 0.293293i \(-0.0947511\pi\)
\(44\) −3.48838 3.83836i −0.525892 0.578655i
\(45\) 1.56659 3.69866i 0.233533 0.551364i
\(46\) −2.70416 12.0041i −0.398707 1.76991i
\(47\) −6.98651 + 2.89391i −1.01909 + 0.422120i −0.828762 0.559602i \(-0.810954\pi\)
−0.190325 + 0.981721i \(0.560954\pi\)
\(48\) −5.55957 4.13415i −0.802454 0.596714i
\(49\) 14.9937 + 6.21060i 2.14196 + 0.887228i
\(50\) −0.772423 + 4.46956i −0.109237 + 0.632091i
\(51\) 1.24508 + 0.451087i 0.174347 + 0.0631648i
\(52\) −3.11330 5.17830i −0.431737 0.718101i
\(53\) 7.86417 6.45395i 1.08023 0.886519i 0.0862675 0.996272i \(-0.472506\pi\)
0.993959 + 0.109753i \(0.0350060\pi\)
\(54\) 7.25395 1.17483i 0.987137 0.159874i
\(55\) 3.40556 0.677407i 0.459205 0.0913416i
\(56\) 10.7297 8.40869i 1.43382 1.12366i
\(57\) 1.78449 1.05997i 0.236362 0.140396i
\(58\) −0.181511 1.46349i −0.0238336 0.192166i
\(59\) −5.66199 3.02640i −0.737129 0.394003i 0.0596940 0.998217i \(-0.480988\pi\)
−0.796823 + 0.604213i \(0.793488\pi\)
\(60\) 4.28972 1.76371i 0.553800 0.227694i
\(61\) −0.987848 10.0298i −0.126481 1.28418i −0.823577 0.567205i \(-0.808025\pi\)
0.697096 0.716978i \(-0.254475\pi\)
\(62\) −8.73093 + 0.220251i −1.10883 + 0.0279719i
\(63\) −1.53153 + 14.3776i −0.192955 + 1.81141i
\(64\) −1.20600 7.90858i −0.150750 0.988572i
\(65\) 4.04496 0.501716
\(66\) 4.36503 + 4.61510i 0.537299 + 0.568080i
\(67\) −7.67658 + 0.756077i −0.937843 + 0.0923695i −0.555376 0.831600i \(-0.687426\pi\)
−0.382467 + 0.923969i \(0.624926\pi\)
\(68\) 0.655666 + 1.38144i 0.0795112 + 0.167525i
\(69\) 3.60370 + 14.6332i 0.433834 + 1.76163i
\(70\) 1.12327 + 9.05669i 0.134256 + 1.08248i
\(71\) −13.5934 2.70389i −1.61324 0.320893i −0.695637 0.718394i \(-0.744878\pi\)
−0.917602 + 0.397501i \(0.869878\pi\)
\(72\) 6.90842 + 4.92684i 0.814165 + 0.580634i
\(73\) −1.05096 5.28356i −0.123006 0.618394i −0.992275 0.124055i \(-0.960410\pi\)
0.869269 0.494339i \(-0.164590\pi\)
\(74\) 7.06240 14.0543i 0.820987 1.63378i
\(75\) 0.836947 5.49180i 0.0966423 0.634139i
\(76\) 2.32561 + 0.579187i 0.266766 + 0.0664374i
\(77\) −11.0232 + 5.89201i −1.25621 + 0.671456i
\(78\) 3.93840 + 6.26500i 0.445936 + 0.709371i
\(79\) 0.541135 1.30642i 0.0608825 0.146983i −0.890511 0.454962i \(-0.849653\pi\)
0.951393 + 0.307979i \(0.0996527\pi\)
\(80\) 4.95353 + 2.03611i 0.553821 + 0.227644i
\(81\) −8.85386 + 1.61530i −0.983762 + 0.179478i
\(82\) −0.363539 1.61380i −0.0401461 0.178214i
\(83\) 3.23156 10.6530i 0.354709 1.16932i −0.580212 0.814465i \(-0.697030\pi\)
0.934921 0.354855i \(-0.115470\pi\)
\(84\) −12.9337 + 10.5579i −1.41118 + 1.15196i
\(85\) −1.01877 0.100340i −0.110501 0.0108834i
\(86\) −5.41207 + 4.67488i −0.583598 + 0.504105i
\(87\) 0.257914 + 1.78763i 0.0276513 + 0.191654i
\(88\) −0.165108 + 7.33324i −0.0176006 + 0.781725i
\(89\) 0.415249 + 0.621464i 0.0440163 + 0.0658750i 0.852825 0.522197i \(-0.174887\pi\)
−0.808809 + 0.588072i \(0.799887\pi\)
\(90\) −5.20980 + 2.26418i −0.549161 + 0.238665i
\(91\) −13.9335 + 4.22669i −1.46063 + 0.443078i
\(92\) −8.92609 + 14.9381i −0.930609 + 1.55741i
\(93\) 10.6857 0.482400i 1.10805 0.0500225i
\(94\) 9.98048 + 3.84213i 1.02941 + 0.396285i
\(95\) −1.13452 + 1.13452i −0.116399 + 0.116399i
\(96\) 1.66942 + 9.65469i 0.170384 + 0.985378i
\(97\) −11.2498 11.2498i −1.14224 1.14224i −0.988039 0.154204i \(-0.950719\pi\)
−0.154204 0.988039i \(-0.549281\pi\)
\(98\) −9.31506 20.9761i −0.940963 2.11890i
\(99\) −5.45743 5.54487i −0.548492 0.557280i
\(100\) 5.14708 3.82815i 0.514708 0.382815i
\(101\) 0.219607 + 0.723949i 0.0218518 + 0.0720356i 0.967188 0.254061i \(-0.0817665\pi\)
−0.945336 + 0.326097i \(0.894266\pi\)
\(102\) −0.836519 1.67561i −0.0828277 0.165910i
\(103\) 3.36578 2.24894i 0.331640 0.221595i −0.378590 0.925564i \(-0.623591\pi\)
0.710230 + 0.703970i \(0.248591\pi\)
\(104\) −1.85524 + 8.34104i −0.181922 + 0.817906i
\(105\) −1.59608 11.0626i −0.155761 1.07960i
\(106\) −14.3491 1.04868i −1.39371 0.101857i
\(107\) 0.986589 10.0170i 0.0953771 0.968380i −0.821767 0.569824i \(-0.807011\pi\)
0.917144 0.398556i \(-0.130489\pi\)
\(108\) −8.57940 5.86463i −0.825553 0.564324i
\(109\) 2.77093 + 0.840554i 0.265407 + 0.0805105i 0.420184 0.907439i \(-0.361966\pi\)
−0.154776 + 0.987950i \(0.549466\pi\)
\(110\) −4.15046 2.62432i −0.395731 0.250219i
\(111\) −8.30554 + 17.3816i −0.788327 + 1.64978i
\(112\) −19.1908 1.83764i −1.81336 0.173640i
\(113\) 5.57654 + 2.30988i 0.524596 + 0.217295i 0.629235 0.777215i \(-0.283368\pi\)
−0.104638 + 0.994510i \(0.533368\pi\)
\(114\) −2.86183 0.652560i −0.268035 0.0611179i
\(115\) −5.49167 10.2742i −0.512101 0.958074i
\(116\) −1.24009 + 1.67681i −0.115139 + 0.155688i
\(117\) −4.97520 7.57556i −0.459958 0.700361i
\(118\) 2.85386 + 8.61916i 0.262720 + 0.793458i
\(119\) 3.61417 0.718903i 0.331310 0.0659017i
\(120\) −6.11521 2.37254i −0.558240 0.216583i
\(121\) −0.833923 + 4.19242i −0.0758112 + 0.381129i
\(122\) −8.76122 + 11.2422i −0.793203 + 1.01782i
\(123\) 0.484469 + 1.96724i 0.0436831 + 0.177380i
\(124\) 9.16296 + 8.28223i 0.822858 + 0.743767i
\(125\) 1.07710 + 10.9360i 0.0963387 + 0.978144i
\(126\) 15.5801 13.2432i 1.38799 1.17980i
\(127\) 11.8996i 1.05592i 0.849270 + 0.527959i \(0.177043\pi\)
−0.849270 + 0.527959i \(0.822957\pi\)
\(128\) −6.47059 + 9.28071i −0.571924 + 0.820306i
\(129\) 6.51320 5.85625i 0.573456 0.515614i
\(130\) −4.14568 3.94167i −0.363600 0.345707i
\(131\) −3.59093 + 0.353676i −0.313741 + 0.0309008i −0.253662 0.967293i \(-0.581635\pi\)
−0.0600790 + 0.998194i \(0.519135\pi\)
\(132\) 0.0235238 8.98359i 0.00204748 0.781921i
\(133\) 2.72256 5.09354i 0.236076 0.441666i
\(134\) 8.60450 + 6.70564i 0.743315 + 0.579279i
\(135\) 6.32426 2.89941i 0.544305 0.249542i
\(136\) 0.674173 2.05476i 0.0578099 0.176195i
\(137\) −2.49289 12.5326i −0.212982 1.07073i −0.928271 0.371905i \(-0.878705\pi\)
0.715289 0.698829i \(-0.246295\pi\)
\(138\) 10.5661 18.5093i 0.899446 1.57561i
\(139\) −3.02264 3.68309i −0.256377 0.312396i 0.628877 0.777505i \(-0.283515\pi\)
−0.885253 + 0.465109i \(0.846015\pi\)
\(140\) 7.67418 10.3768i 0.648587 0.876999i
\(141\) −12.3147 4.46155i −1.03709 0.375731i
\(142\) 11.2970 + 16.0175i 0.948025 + 1.34416i
\(143\) 2.99820 7.23830i 0.250722 0.605297i
\(144\) −2.27941 11.7815i −0.189951 0.981794i
\(145\) −0.534298 1.28991i −0.0443710 0.107121i
\(146\) −4.07150 + 6.43925i −0.336960 + 0.532916i
\(147\) 11.9173 + 25.4583i 0.982925 + 2.09977i
\(148\) −20.9336 + 7.52219i −1.72073 + 0.618320i
\(149\) 3.98774 + 0.392758i 0.326688 + 0.0321760i 0.260032 0.965600i \(-0.416267\pi\)
0.0666562 + 0.997776i \(0.478767\pi\)
\(150\) −6.20935 + 4.81298i −0.506991 + 0.392978i
\(151\) 9.83830 14.7241i 0.800630 1.19823i −0.176231 0.984349i \(-0.556390\pi\)
0.976860 0.213878i \(-0.0686095\pi\)
\(152\) −1.81912 2.85983i −0.147550 0.231963i
\(153\) 1.06514 + 2.03141i 0.0861115 + 0.164229i
\(154\) 17.0392 + 4.70295i 1.37306 + 0.378975i
\(155\) −7.91265 + 2.40028i −0.635559 + 0.192795i
\(156\) 2.06855 10.2588i 0.165616 0.821363i
\(157\) 1.06844 1.30190i 0.0852709 0.103903i −0.728627 0.684910i \(-0.759841\pi\)
0.813898 + 0.581008i \(0.197341\pi\)
\(158\) −1.82766 + 0.811630i −0.145401 + 0.0645698i
\(159\) 17.5961 + 0.934542i 1.39546 + 0.0741140i
\(160\) −3.09276 6.91384i −0.244504 0.546587i
\(161\) 29.6528 + 29.6528i 2.33697 + 2.33697i
\(162\) 10.6484 + 6.97224i 0.836615 + 0.547791i
\(163\) 0.569853 0.694367i 0.0446343 0.0543870i −0.750215 0.661194i \(-0.770050\pi\)
0.794849 + 0.606807i \(0.207550\pi\)
\(164\) −1.19999 + 2.00824i −0.0937038 + 0.156817i
\(165\) 5.14619 + 3.11237i 0.400630 + 0.242297i
\(166\) −13.6930 + 7.76924i −1.06278 + 0.603010i
\(167\) 10.9445 7.31289i 0.846912 0.565888i −0.0546663 0.998505i \(-0.517410\pi\)
0.901578 + 0.432616i \(0.142410\pi\)
\(168\) 23.5440 + 1.78266i 1.81646 + 0.137536i
\(169\) −2.15180 + 3.22040i −0.165523 + 0.247723i
\(170\) 0.946359 + 1.09559i 0.0725824 + 0.0840280i
\(171\) 3.52021 + 0.729342i 0.269197 + 0.0557742i
\(172\) 10.1023 + 0.482575i 0.770296 + 0.0367960i
\(173\) −0.484161 0.146869i −0.0368101 0.0111662i 0.271826 0.962346i \(-0.412373\pi\)
−0.308636 + 0.951180i \(0.599873\pi\)
\(174\) 1.47764 2.08347i 0.112020 0.157947i
\(175\) −5.91556 14.2814i −0.447174 1.07957i
\(176\) 7.31519 7.35494i 0.551403 0.554400i
\(177\) −3.70454 10.4847i −0.278451 0.788075i
\(178\) 0.180005 1.04158i 0.0134919 0.0780700i
\(179\) 2.63681 + 4.93312i 0.197084 + 0.368719i 0.960979 0.276623i \(-0.0892152\pi\)
−0.763894 + 0.645341i \(0.776715\pi\)
\(180\) 7.54589 + 2.75621i 0.562437 + 0.205436i
\(181\) 5.95357 + 7.25445i 0.442525 + 0.539219i 0.945732 0.324947i \(-0.105347\pi\)
−0.503207 + 0.864166i \(0.667847\pi\)
\(182\) 18.3993 + 9.24579i 1.36384 + 0.685343i
\(183\) 10.4543 13.9795i 0.772801 1.03339i
\(184\) 23.7050 6.61197i 1.74756 0.487441i
\(185\) 2.90519 14.6054i 0.213594 1.07381i
\(186\) −11.4218 9.91839i −0.837490 0.727252i
\(187\) −0.934686 + 1.74867i −0.0683510 + 0.127876i
\(188\) −6.48498 13.6634i −0.472966 0.996507i
\(189\) −18.7553 + 16.5959i −1.36425 + 1.20717i
\(190\) 2.26832 0.0572219i 0.164561 0.00415131i
\(191\) 1.34059i 0.0970017i −0.998823 0.0485008i \(-0.984556\pi\)
0.998823 0.0485008i \(-0.0154444\pi\)
\(192\) 7.69715 11.5219i 0.555494 0.831520i
\(193\) 4.39991i 0.316712i −0.987382 0.158356i \(-0.949381\pi\)
0.987382 0.158356i \(-0.0506194\pi\)
\(194\) 0.567406 + 22.4924i 0.0407374 + 1.61486i
\(195\) 5.17242 + 4.72558i 0.370405 + 0.338406i
\(196\) −10.8934 + 30.5756i −0.778100 + 2.18397i
\(197\) −3.15098 + 5.89508i −0.224498 + 0.420007i −0.968803 0.247834i \(-0.920281\pi\)
0.744304 + 0.667841i \(0.232781\pi\)
\(198\) 0.190052 + 11.0010i 0.0135064 + 0.781807i
\(199\) 2.55931 12.8665i 0.181425 0.912084i −0.777599 0.628760i \(-0.783563\pi\)
0.959024 0.283324i \(-0.0914373\pi\)
\(200\) −9.00564 1.09216i −0.636795 0.0772275i
\(201\) −10.6996 8.00145i −0.754691 0.564379i
\(202\) 0.480386 0.955975i 0.0337998 0.0672622i
\(203\) 3.18834 + 3.88500i 0.223778 + 0.272674i
\(204\) −0.775469 + 2.53249i −0.0542937 + 0.177310i
\(205\) −0.738282 1.38123i −0.0515639 0.0964692i
\(206\) −5.64110 0.974887i −0.393034 0.0679236i
\(207\) −12.4873 + 22.9220i −0.867927 + 1.59319i
\(208\) 10.0295 6.74087i 0.695419 0.467395i
\(209\) 1.18925 + 2.87111i 0.0822624 + 0.198599i
\(210\) −9.14425 + 12.8934i −0.631013 + 0.889727i
\(211\) −8.66840 2.62953i −0.596757 0.181024i −0.0225659 0.999745i \(-0.507184\pi\)
−0.574192 + 0.818721i \(0.694684\pi\)
\(212\) 13.6845 + 15.0575i 0.939857 + 1.03415i
\(213\) −14.2235 19.3382i −0.974575 1.32503i
\(214\) −10.7724 + 9.30504i −0.736383 + 0.636079i
\(215\) −3.76166 + 5.62972i −0.256543 + 0.383943i
\(216\) 3.07817 + 14.3710i 0.209443 + 0.977821i
\(217\) 24.7483 16.5363i 1.68003 1.12256i
\(218\) −2.02084 3.56166i −0.136869 0.241226i
\(219\) 4.82869 7.98406i 0.326293 0.539513i
\(220\) 1.69651 + 6.73414i 0.114379 + 0.454016i
\(221\) −1.46534 + 1.78552i −0.0985693 + 0.120107i
\(222\) 25.4500 9.72092i 1.70809 0.652425i
\(223\) −15.1246 15.1246i −1.01281 1.01281i −0.999917 0.0128981i \(-0.995894\pi\)
−0.0128981 0.999917i \(-0.504106\pi\)
\(224\) 17.8780 + 20.5842i 1.19452 + 1.37534i
\(225\) 7.48611 6.04477i 0.499074 0.402985i
\(226\) −3.46450 7.80152i −0.230455 0.518950i
\(227\) −3.53243 + 4.30428i −0.234456 + 0.285685i −0.876926 0.480626i \(-0.840410\pi\)
0.642470 + 0.766311i \(0.277910\pi\)
\(228\) 2.29719 + 3.45755i 0.152135 + 0.228982i
\(229\) −7.41934 + 2.25063i −0.490284 + 0.148726i −0.525740 0.850645i \(-0.676212\pi\)
0.0354564 + 0.999371i \(0.488712\pi\)
\(230\) −4.38341 + 15.8815i −0.289034 + 1.04719i
\(231\) −20.9791 5.34367i −1.38032 0.351588i
\(232\) 2.90496 0.510142i 0.190720 0.0334925i
\(233\) −1.11580 + 1.66991i −0.0730982 + 0.109399i −0.866218 0.499667i \(-0.833456\pi\)
0.793119 + 0.609066i \(0.208456\pi\)
\(234\) −2.28302 + 12.6124i −0.149246 + 0.824495i
\(235\) 10.0763 + 0.992431i 0.657307 + 0.0647390i
\(236\) 5.47413 11.6148i 0.356336 0.756057i
\(237\) 2.21821 1.03837i 0.144088 0.0674493i
\(238\) −4.40471 2.78507i −0.285515 0.180529i
\(239\) −2.19942 5.30988i −0.142269 0.343467i 0.836644 0.547748i \(-0.184515\pi\)
−0.978912 + 0.204280i \(0.934515\pi\)
\(240\) 3.95552 + 8.39067i 0.255328 + 0.541615i
\(241\) −7.55594 + 18.2417i −0.486721 + 1.17505i 0.469639 + 0.882858i \(0.344384\pi\)
−0.956360 + 0.292190i \(0.905616\pi\)
\(242\) 4.94004 3.48418i 0.317558 0.223972i
\(243\) −13.2088 8.27811i −0.847346 0.531041i
\(244\) 19.9345 2.98461i 1.27617 0.191070i
\(245\) −13.7850 16.7970i −0.880689 1.07312i
\(246\) 1.42047 2.48832i 0.0905660 0.158650i
\(247\) 0.706270 + 3.55066i 0.0449389 + 0.225923i
\(248\) −1.32039 17.4174i −0.0838446 1.10601i
\(249\) 16.5778 9.84705i 1.05058 0.624031i
\(250\) 9.55279 12.2579i 0.604172 0.775257i
\(251\) 9.11942 17.0612i 0.575613 1.07690i −0.410663 0.911787i \(-0.634703\pi\)
0.986275 0.165108i \(-0.0527974\pi\)
\(252\) −28.8731 1.60930i −1.81884 0.101377i
\(253\) −22.4558 + 2.21171i −1.41179 + 0.139049i
\(254\) 11.5957 12.1959i 0.727580 0.765239i
\(255\) −1.18551 1.31850i −0.0742395 0.0825676i
\(256\) 15.6754 3.20645i 0.979713 0.200403i
\(257\) 2.78236i 0.173559i −0.996228 0.0867796i \(-0.972342\pi\)
0.996228 0.0867796i \(-0.0276576\pi\)
\(258\) −12.3821 0.344803i −0.770875 0.0214665i
\(259\) 5.25416 + 53.3464i 0.326477 + 3.31478i
\(260\) 0.407902 + 8.07963i 0.0252970 + 0.501077i
\(261\) −1.75862 + 2.58721i −0.108856 + 0.160144i
\(262\) 4.02500 + 3.13675i 0.248665 + 0.193789i
\(263\) 6.20302 31.1847i 0.382494 1.92293i −0.00246681 0.999997i \(-0.500785\pi\)
0.384961 0.922933i \(-0.374215\pi\)
\(264\) −8.77829 + 9.18436i −0.540266 + 0.565258i
\(265\) −13.3596 + 2.65740i −0.820676 + 0.163243i
\(266\) −7.75382 + 2.56734i −0.475417 + 0.157414i
\(267\) −0.195042 + 1.27981i −0.0119364 + 0.0783229i
\(268\) −2.28435 15.2574i −0.139539 0.931993i
\(269\) 13.3998 + 25.0693i 0.817002 + 1.52850i 0.848619 + 0.529004i \(0.177434\pi\)
−0.0316170 + 0.999500i \(0.510066\pi\)
\(270\) −9.30711 3.19115i −0.566412 0.194207i
\(271\) 25.1025 + 10.3978i 1.52487 + 0.631620i 0.978559 0.205965i \(-0.0660334\pi\)
0.546306 + 0.837585i \(0.316033\pi\)
\(272\) −2.69325 + 1.44897i −0.163302 + 0.0878568i
\(273\) −22.7552 10.8733i −1.37721 0.658079i
\(274\) −9.65761 + 15.2739i −0.583438 + 0.922731i
\(275\) 7.95949 + 2.41449i 0.479976 + 0.145599i
\(276\) −28.8658 + 8.67387i −1.73752 + 0.522105i
\(277\) 0.195977 1.98978i 0.0117751 0.119555i −0.987500 0.157617i \(-0.949619\pi\)
0.999275 + 0.0380629i \(0.0121187\pi\)
\(278\) −0.491138 + 6.72025i −0.0294565 + 0.403054i
\(279\) 14.2277 + 11.8668i 0.851790 + 0.710449i
\(280\) −17.9771 + 3.15697i −1.07434 + 0.188665i
\(281\) 8.00577 5.34929i 0.477584 0.319112i −0.293373 0.955998i \(-0.594778\pi\)
0.770958 + 0.636886i \(0.219778\pi\)
\(282\) 8.27374 + 16.5729i 0.492694 + 0.986902i
\(283\) 2.24556 + 7.40262i 0.133485 + 0.440040i 0.998046 0.0624878i \(-0.0199034\pi\)
−0.864561 + 0.502528i \(0.832403\pi\)
\(284\) 4.03012 27.4249i 0.239144 1.62737i
\(285\) −2.77617 + 0.125329i −0.164446 + 0.00742384i
\(286\) −10.1263 + 4.49690i −0.598782 + 0.265907i
\(287\) 3.98642 + 3.98642i 0.235311 + 0.235311i
\(288\) −9.14449 + 14.2961i −0.538844 + 0.842405i
\(289\) −11.6075 + 11.6075i −0.682792 + 0.682792i
\(290\) −0.709367 + 1.84268i −0.0416555 + 0.108206i
\(291\) −1.24275 27.5282i −0.0728511 1.61373i
\(292\) 10.4477 2.63206i 0.611405 0.154030i
\(293\) −20.3178 + 6.16334i −1.18698 + 0.360066i −0.821203 0.570637i \(-0.806696\pi\)
−0.365776 + 0.930703i \(0.619196\pi\)
\(294\) 12.5941 37.7052i 0.734504 2.19901i
\(295\) 4.77564 + 7.14726i 0.278049 + 0.416129i
\(296\) 28.7850 + 12.6896i 1.67309 + 0.737566i
\(297\) −0.500723 13.4661i −0.0290549 0.781384i
\(298\) −3.70430 4.28844i −0.214585 0.248423i
\(299\) −26.1595 2.57648i −1.51284 0.149002i
\(300\) 11.0540 + 1.11796i 0.638205 + 0.0645455i
\(301\) 7.07500 23.3232i 0.407797 1.34432i
\(302\) −24.4313 + 5.50363i −1.40587 + 0.316698i
\(303\) −0.564944 + 1.18230i −0.0324552 + 0.0679212i
\(304\) −0.922382 + 4.70371i −0.0529022 + 0.269776i
\(305\) −5.16394 + 12.4669i −0.295686 + 0.713850i
\(306\) 0.887868 3.11993i 0.0507560 0.178355i
\(307\) 0.456998 0.244271i 0.0260823 0.0139413i −0.458304 0.888795i \(-0.651543\pi\)
0.484386 + 0.874854i \(0.339043\pi\)
\(308\) −12.8806 21.4241i −0.733942 1.22075i
\(309\) 6.93129 + 1.05632i 0.394307 + 0.0600922i
\(310\) 10.4487 + 5.25054i 0.593444 + 0.298211i
\(311\) 4.93702 + 24.8201i 0.279953 + 1.40742i 0.823155 + 0.567817i \(0.192212\pi\)
−0.543202 + 0.839602i \(0.682788\pi\)
\(312\) −12.1169 + 8.49855i −0.685985 + 0.481136i
\(313\) −4.66561 0.928047i −0.263716 0.0524563i 0.0614614 0.998109i \(-0.480424\pi\)
−0.325177 + 0.945653i \(0.605424\pi\)
\(314\) −2.36370 + 0.293161i −0.133391 + 0.0165440i
\(315\) 10.8831 16.0107i 0.613191 0.902102i
\(316\) 2.66408 + 0.949152i 0.149866 + 0.0533940i
\(317\) −4.24902 + 0.418492i −0.238649 + 0.0235049i −0.216634 0.976253i \(-0.569508\pi\)
−0.0220144 + 0.999758i \(0.507008\pi\)
\(318\) −17.1236 18.1046i −0.960242 1.01525i
\(319\) −2.70427 −0.151410
\(320\) −3.56751 + 10.0998i −0.199430 + 0.564595i
\(321\) 12.9641 11.6565i 0.723585 0.650601i
\(322\) −1.49560 59.2867i −0.0833465 3.30392i
\(323\) −0.0898038 0.911794i −0.00499682 0.0507335i
\(324\) −4.11933 17.5223i −0.228852 0.973461i
\(325\) 8.54536 + 4.56759i 0.474012 + 0.253364i
\(326\) −1.26068 + 0.156357i −0.0698225 + 0.00865981i
\(327\) 2.56130 + 4.31203i 0.141640 + 0.238456i
\(328\) 3.18683 0.888891i 0.175963 0.0490808i
\(329\) −35.7466 + 7.11044i −1.97077 + 0.392011i
\(330\) −2.24144 8.20464i −0.123387 0.451651i
\(331\) −6.99150 + 5.73777i −0.384288 + 0.315377i −0.806627 0.591061i \(-0.798709\pi\)
0.422339 + 0.906438i \(0.361209\pi\)
\(332\) 21.6048 + 5.38062i 1.18572 + 0.295300i
\(333\) −30.9268 + 12.5233i −1.69478 + 0.686273i
\(334\) −18.3432 3.17004i −1.00369 0.173457i
\(335\) 9.54185 + 3.95237i 0.521327 + 0.215941i
\(336\) −22.3931 24.7698i −1.22164 1.35130i
\(337\) −15.8549 + 6.56733i −0.863673 + 0.357745i −0.770143 0.637871i \(-0.779815\pi\)
−0.0935303 + 0.995616i \(0.529815\pi\)
\(338\) 5.34354 1.20373i 0.290650 0.0654745i
\(339\) 4.43235 + 9.46858i 0.240732 + 0.514263i
\(340\) 0.0976900 2.04506i 0.00529798 0.110909i
\(341\) −1.56981 + 15.9385i −0.0850098 + 0.863119i
\(342\) −2.89715 4.17782i −0.156660 0.225911i
\(343\) 36.9846 + 24.7123i 1.99698 + 1.33434i
\(344\) −9.88364 10.3389i −0.532890 0.557439i
\(345\) 4.98060 19.5537i 0.268146 1.05274i
\(346\) 0.353099 + 0.622323i 0.0189827 + 0.0334563i
\(347\) 9.27162 + 30.5644i 0.497727 + 1.64078i 0.741500 + 0.670952i \(0.234115\pi\)
−0.243774 + 0.969832i \(0.578385\pi\)
\(348\) −3.54470 + 0.695440i −0.190016 + 0.0372795i
\(349\) −12.2885 10.0849i −0.657787 0.539832i 0.245215 0.969469i \(-0.421141\pi\)
−0.903002 + 0.429637i \(0.858641\pi\)
\(350\) −7.85386 + 20.4015i −0.419807 + 1.09051i
\(351\) 2.48830 15.4995i 0.132816 0.827301i
\(352\) −14.6645 + 0.409702i −0.781619 + 0.0218372i
\(353\) −15.7895 + 15.7895i −0.840392 + 0.840392i −0.988910 0.148518i \(-0.952550\pi\)
0.148518 + 0.988910i \(0.452550\pi\)
\(354\) −6.42013 + 14.3557i −0.341226 + 0.762996i
\(355\) 14.3447 + 11.7724i 0.761340 + 0.624815i
\(356\) −1.19947 + 0.892111i −0.0635719 + 0.0472818i
\(357\) 5.46142 + 3.30302i 0.289049 + 0.174814i
\(358\) 2.10468 7.62543i 0.111236 0.403017i
\(359\) 10.6345 + 15.9156i 0.561267 + 0.839996i 0.998229 0.0594841i \(-0.0189456\pi\)
−0.436962 + 0.899480i \(0.643946\pi\)
\(360\) −5.04796 10.1780i −0.266051 0.536429i
\(361\) 14.6039 + 9.75805i 0.768629 + 0.513581i
\(362\) 0.967376 13.2366i 0.0508441 0.695701i
\(363\) −5.96422 + 4.38674i −0.313040 + 0.230244i
\(364\) −9.84772 27.4054i −0.516161 1.43643i
\(365\) −2.09378 + 6.90225i −0.109593 + 0.361280i
\(366\) −24.3371 + 4.14030i −1.27212 + 0.216417i
\(367\) −6.46888 + 2.67950i −0.337673 + 0.139869i −0.545075 0.838387i \(-0.683499\pi\)
0.207403 + 0.978256i \(0.433499\pi\)
\(368\) −30.7384 16.3231i −1.60235 0.850900i
\(369\) −1.67875 + 3.08156i −0.0873923 + 0.160420i
\(370\) −17.2099 + 12.1380i −0.894701 + 0.631027i
\(371\) 43.2427 23.1137i 2.24505 1.20000i
\(372\) 2.04114 + 21.2955i 0.105828 + 1.10412i
\(373\) 24.4440 20.0607i 1.26566 1.03870i 0.268512 0.963276i \(-0.413468\pi\)
0.997151 0.0754268i \(-0.0240319\pi\)
\(374\) 2.66198 0.881400i 0.137648 0.0455761i
\(375\) −11.3988 + 15.2425i −0.588631 + 0.787121i
\(376\) −6.66803 + 20.3230i −0.343878 + 1.04808i
\(377\) −3.08976 0.614592i −0.159131 0.0316531i
\(378\) 35.3944 + 1.26719i 1.82049 + 0.0651773i
\(379\) −25.1302 13.4324i −1.29085 0.689974i −0.324180 0.945996i \(-0.605088\pi\)
−0.966671 + 0.256022i \(0.917588\pi\)
\(380\) −2.38056 2.15175i −0.122120 0.110382i
\(381\) −13.9019 + 15.2164i −0.712214 + 0.779560i
\(382\) −1.30636 + 1.37397i −0.0668390 + 0.0702985i
\(383\) −7.18811 −0.367295 −0.183648 0.982992i \(-0.558791\pi\)
−0.183648 + 0.982992i \(0.558791\pi\)
\(384\) −19.1165 + 4.30819i −0.975533 + 0.219851i
\(385\) 16.7352 0.852903
\(386\) −4.28755 + 4.50947i −0.218231 + 0.229526i
\(387\) 15.1703 + 0.120562i 0.771150 + 0.00612849i
\(388\) 21.3365 23.6054i 1.08320 1.19838i
\(389\) 13.3943 + 7.15941i 0.679119 + 0.362997i 0.774615 0.632433i \(-0.217944\pi\)
−0.0954960 + 0.995430i \(0.530444\pi\)
\(390\) −0.696312 9.88359i −0.0352591 0.500475i
\(391\) 6.52465 + 1.29783i 0.329966 + 0.0656343i
\(392\) 40.9594 20.7217i 2.06876 1.04660i
\(393\) −5.00503 3.74290i −0.252471 0.188805i
\(394\) 8.97398 2.97135i 0.452103 0.149694i
\(395\) −1.46354 + 1.20110i −0.0736388 + 0.0604338i
\(396\) 10.5253 11.4601i 0.528916 0.575893i
\(397\) 17.5386 9.37455i 0.880235 0.470495i 0.0316159 0.999500i \(-0.489935\pi\)
0.848619 + 0.529005i \(0.177435\pi\)
\(398\) −15.1610 + 10.6930i −0.759953 + 0.535990i
\(399\) 9.43203 3.33262i 0.472192 0.166840i
\(400\) 8.16561 + 9.89502i 0.408281 + 0.494751i
\(401\) 14.1643 5.86704i 0.707330 0.292986i 0.000130881 1.00000i \(-0.499958\pi\)
0.707199 + 0.707014i \(0.249958\pi\)
\(402\) 3.16889 + 18.6271i 0.158050 + 0.929033i
\(403\) −5.41587 + 17.8537i −0.269784 + 0.889358i
\(404\) −1.42391 + 0.511661i −0.0708422 + 0.0254561i
\(405\) 11.4743 + 3.68083i 0.570163 + 0.182902i
\(406\) 0.518063 7.08866i 0.0257110 0.351804i
\(407\) −23.9824 16.0245i −1.18876 0.794305i
\(408\) 3.26260 1.83988i 0.161523 0.0910877i
\(409\) 7.81945 + 11.7026i 0.386647 + 0.578658i 0.972830 0.231520i \(-0.0743700\pi\)
−0.586183 + 0.810179i \(0.699370\pi\)
\(410\) −0.589291 + 2.13505i −0.0291030 + 0.105443i
\(411\) 11.4537 18.9382i 0.564968 0.934154i
\(412\) 4.83157 + 6.49620i 0.238034 + 0.320045i
\(413\) −23.9189 19.6297i −1.17697 0.965915i
\(414\) 35.1349 11.3244i 1.72679 0.556564i
\(415\) −10.5396 + 10.5396i −0.517371 + 0.517371i
\(416\) −16.8480 2.86464i −0.826039 0.140451i
\(417\) 0.437682 8.24093i 0.0214334 0.403560i
\(418\) 1.57893 4.10149i 0.0772279 0.200610i
\(419\) 20.0838 + 16.4823i 0.981157 + 0.805215i 0.980846 0.194785i \(-0.0624008\pi\)
0.000311490 1.00000i \(0.499901\pi\)
\(420\) 21.9361 4.30367i 1.07037 0.209998i
\(421\) −1.97232 6.50185i −0.0961248 0.316881i 0.895670 0.444719i \(-0.146696\pi\)
−0.991795 + 0.127838i \(0.959196\pi\)
\(422\) 6.32187 + 11.1421i 0.307744 + 0.542387i
\(423\) −10.5350 20.0920i −0.512228 0.976906i
\(424\) 0.647701 28.7675i 0.0314551 1.39707i
\(425\) −2.03894 1.36238i −0.0989032 0.0660850i
\(426\) −4.26678 + 33.6800i −0.206726 + 1.63180i
\(427\) 4.76109 48.3401i 0.230405 2.33934i
\(428\) 20.1080 + 0.960533i 0.971958 + 0.0464291i
\(429\) 12.2902 5.75316i 0.593374 0.277765i
\(430\) 9.34128 2.10430i 0.450476 0.101478i
\(431\) −24.5930 + 10.1868i −1.18460 + 0.490679i −0.885994 0.463696i \(-0.846523\pi\)
−0.298610 + 0.954375i \(0.596523\pi\)
\(432\) 10.8492 17.7284i 0.521981 0.852957i
\(433\) 7.33539 + 3.03842i 0.352516 + 0.146017i 0.551913 0.833902i \(-0.313898\pi\)
−0.199397 + 0.979919i \(0.563898\pi\)
\(434\) −41.4786 7.16828i −1.99104 0.344088i
\(435\) 0.823730 2.27365i 0.0394949 0.109013i
\(436\) −1.39954 + 5.61958i −0.0670259 + 0.269129i
\(437\) 8.05980 6.61451i 0.385553 0.316415i
\(438\) −12.7291 + 3.47749i −0.608220 + 0.166161i
\(439\) −2.33777 + 0.465011i −0.111576 + 0.0221938i −0.250562 0.968100i \(-0.580615\pi\)
0.138987 + 0.990294i \(0.455615\pi\)
\(440\) 4.82341 8.55501i 0.229947 0.407844i
\(441\) −14.5030 + 46.4770i −0.690617 + 2.21319i
\(442\) 3.24175 0.402062i 0.154194 0.0191241i
\(443\) −26.9634 14.4122i −1.28107 0.684745i −0.316504 0.948591i \(-0.602509\pi\)
−0.964565 + 0.263846i \(0.915009\pi\)
\(444\) −35.5564 14.8372i −1.68743 0.704140i
\(445\) −0.0980900 0.995925i −0.00464991 0.0472114i
\(446\) 0.762838 + 30.2395i 0.0361214 + 1.43188i
\(447\) 4.64040 + 5.16096i 0.219484 + 0.244105i
\(448\) 1.73535 38.5182i 0.0819877 1.81981i
\(449\) 6.06690 0.286315 0.143157 0.989700i \(-0.454274\pi\)
0.143157 + 0.989700i \(0.454274\pi\)
\(450\) −13.5629 1.09965i −0.639363 0.0518380i
\(451\) −3.01889 + 0.297334i −0.142154 + 0.0140009i
\(452\) −4.05153 + 11.3718i −0.190568 + 0.534885i
\(453\) 29.7822 7.33440i 1.39929 0.344600i
\(454\) 7.81475 0.969233i 0.366764 0.0454884i
\(455\) 19.1207 + 3.80335i 0.896393 + 0.178304i
\(456\) 1.01487 5.78218i 0.0475256 0.270775i
\(457\) 5.05627 + 25.4196i 0.236523 + 1.18908i 0.898301 + 0.439380i \(0.144802\pi\)
−0.661779 + 0.749699i \(0.730198\pi\)
\(458\) 9.79724 + 4.92320i 0.457795 + 0.230046i
\(459\) −1.01119 + 3.84199i −0.0471983 + 0.179329i
\(460\) 19.9685 12.0054i 0.931035 0.559757i
\(461\) 32.8210 17.5432i 1.52863 0.817068i 0.529123 0.848545i \(-0.322521\pi\)
0.999504 + 0.0314772i \(0.0100212\pi\)
\(462\) 16.2943 + 25.9201i 0.758079 + 1.20591i
\(463\) 9.58657 23.1440i 0.445526 1.07559i −0.528454 0.848962i \(-0.677228\pi\)
0.973980 0.226633i \(-0.0727717\pi\)
\(464\) −3.47441 2.30793i −0.161295 0.107143i
\(465\) −12.9223 6.17475i −0.599258 0.286347i
\(466\) 2.77084 0.624185i 0.128357 0.0289148i
\(467\) 10.3545 34.1341i 0.479148 1.57954i −0.300795 0.953689i \(-0.597252\pi\)
0.779943 0.625851i \(-0.215248\pi\)
\(468\) 14.6301 10.7017i 0.676278 0.494686i
\(469\) −36.9985 3.64403i −1.70843 0.168266i
\(470\) −9.36014 10.8361i −0.431751 0.499834i
\(471\) 2.88722 0.416560i 0.133036 0.0191941i
\(472\) −16.9286 + 6.56964i −0.779202 + 0.302392i
\(473\) 7.28595 + 10.9042i 0.335008 + 0.501376i
\(474\) −3.28529 1.09734i −0.150899 0.0504024i
\(475\) −3.67789 + 1.11568i −0.168753 + 0.0511908i
\(476\) 1.80044 + 7.14665i 0.0825229 + 0.327566i
\(477\) 21.4089 + 21.7519i 0.980247 + 0.995952i
\(478\) −2.92009 + 7.58535i −0.133562 + 0.346946i
\(479\) −15.9425 + 15.9425i −0.728431 + 0.728431i −0.970307 0.241876i \(-0.922237\pi\)
0.241876 + 0.970307i \(0.422237\pi\)
\(480\) 4.12238 12.4541i 0.188160 0.568450i
\(481\) −23.7591 23.7591i −1.08332 1.08332i
\(482\) 25.5199 11.3329i 1.16240 0.516199i
\(483\) 3.27570 + 72.5603i 0.149049 + 3.30161i
\(484\) −8.45826 1.24295i −0.384466 0.0564979i
\(485\) 6.18354 + 20.3844i 0.280780 + 0.925608i
\(486\) 5.47100 + 21.3558i 0.248170 + 0.968717i
\(487\) −33.5780 + 22.4361i −1.52157 + 1.01668i −0.536619 + 0.843825i \(0.680299\pi\)
−0.984948 + 0.172853i \(0.944701\pi\)
\(488\) −23.3392 16.3665i −1.05652 0.740875i
\(489\) 1.53989 0.222172i 0.0696364 0.0100470i
\(490\) −2.23987 + 30.6482i −0.101187 + 1.38455i
\(491\) −1.35116 + 13.7186i −0.0609771 + 0.619110i 0.915328 + 0.402710i \(0.131932\pi\)
−0.976305 + 0.216400i \(0.930568\pi\)
\(492\) −3.88062 + 1.16609i −0.174952 + 0.0525712i
\(493\) 0.762945 + 0.231437i 0.0343613 + 0.0104234i
\(494\) 2.73613 4.32731i 0.123104 0.194695i
\(495\) 2.94453 + 9.99200i 0.132347 + 0.449107i
\(496\) −15.6194 + 19.1378i −0.701331 + 0.859313i
\(497\) −61.7142 25.5629i −2.76826 1.14665i
\(498\) −26.5862 6.06225i −1.19136 0.271656i
\(499\) 2.51959 + 4.71382i 0.112792 + 0.211020i 0.931983 0.362501i \(-0.118077\pi\)
−0.819191 + 0.573521i \(0.805577\pi\)
\(500\) −21.7355 + 3.25427i −0.972042 + 0.145535i
\(501\) 22.5385 + 3.43485i 1.00695 + 0.153458i
\(502\) −25.9721 + 8.59953i −1.15919 + 0.383816i
\(503\) −2.67535 + 0.532161i −0.119288 + 0.0237279i −0.254373 0.967106i \(-0.581869\pi\)
0.135085 + 0.990834i \(0.456869\pi\)
\(504\) 28.0239 + 29.7852i 1.24828 + 1.32674i
\(505\) 0.197611 0.993460i 0.00879359 0.0442084i
\(506\) 25.1702 + 19.6156i 1.11895 + 0.872020i
\(507\) −6.51385 + 1.60415i −0.289290 + 0.0712430i
\(508\) −23.7689 + 1.19998i −1.05457 + 0.0532404i
\(509\) −0.959497 9.74194i −0.0425290 0.431804i −0.992747 0.120219i \(-0.961640\pi\)
0.950218 0.311585i \(-0.100860\pi\)
\(510\) −0.0698001 + 2.50657i −0.00309080 + 0.110993i
\(511\) 25.9638i 1.14857i
\(512\) −19.1903 11.9888i −0.848100 0.529836i
\(513\) 3.64935 + 5.04517i 0.161123 + 0.222750i
\(514\) −2.71131 + 2.85165i −0.119591 + 0.125781i
\(515\) −5.39382 + 0.531245i −0.237680 + 0.0234094i
\(516\) 12.3544 + 12.4193i 0.543873 + 0.546728i
\(517\) 9.24468 17.2956i 0.406581 0.760659i
\(518\) 46.5991 59.7947i 2.04745 2.62723i
\(519\) −0.447531 0.753434i −0.0196444 0.0330721i
\(520\) 7.45525 8.67830i 0.326934 0.380569i
\(521\) −7.99982 40.2178i −0.350479 1.76197i −0.606286 0.795247i \(-0.707341\pi\)
0.255807 0.966728i \(-0.417659\pi\)
\(522\) 4.32355 0.937924i 0.189237 0.0410518i
\(523\) 9.66634 + 11.7785i 0.422679 + 0.515036i 0.940195 0.340638i \(-0.110643\pi\)
−0.517515 + 0.855674i \(0.673143\pi\)
\(524\) −1.06857 7.13707i −0.0466807 0.311784i
\(525\) 9.12005 25.1731i 0.398032 1.09864i
\(526\) −36.7458 + 25.9166i −1.60219 + 1.13002i
\(527\) 1.80693 4.36232i 0.0787112 0.190026i
\(528\) 17.9467 0.858935i 0.781030 0.0373803i
\(529\) 20.1697 + 48.6939i 0.876942 + 2.11712i
\(530\) 16.2818 + 10.2949i 0.707238 + 0.447182i
\(531\) 7.51174 17.7350i 0.325982 0.769632i
\(532\) 10.4487 + 4.92454i 0.453008 + 0.213506i
\(533\) −3.51679 0.346374i −0.152329 0.0150031i
\(534\) 1.44702 1.12161i 0.0626188 0.0485370i
\(535\) −7.48732 + 11.2056i −0.323705 + 0.484459i
\(536\) −12.5265 + 17.8633i −0.541064 + 0.771578i
\(537\) −2.39142 + 9.38863i −0.103197 + 0.405149i
\(538\) 10.6956 38.7512i 0.461122 1.67068i
\(539\) −40.2753 + 12.2174i −1.73478 + 0.526240i
\(540\) 6.42920 + 12.3400i 0.276669 + 0.531031i
\(541\) −15.5383 + 18.9335i −0.668044 + 0.814013i −0.991206 0.132330i \(-0.957754\pi\)
0.323162 + 0.946344i \(0.395254\pi\)
\(542\) −15.5953 35.1181i −0.669874 1.50845i
\(543\) −0.862086 + 16.2318i −0.0369956 + 0.696575i
\(544\) 4.17229 + 1.13943i 0.178885 + 0.0488525i
\(545\) −2.74145 2.74145i −0.117431 0.117431i
\(546\) 12.7262 + 33.3181i 0.544631 + 1.42588i
\(547\) −14.7526 + 17.9761i −0.630775 + 0.768602i −0.986102 0.166140i \(-0.946869\pi\)
0.355327 + 0.934742i \(0.384369\pi\)
\(548\) 24.7820 6.24326i 1.05863 0.266699i
\(549\) 29.6999 5.66270i 1.26756 0.241678i
\(550\) −5.80486 10.2308i −0.247520 0.436245i
\(551\) 1.03899 0.694230i 0.0442624 0.0295752i
\(552\) 38.0369 + 19.2388i 1.61896 + 0.818858i
\(553\) 3.78635 5.66668i 0.161012 0.240972i
\(554\) −2.13983 + 1.84836i −0.0909126 + 0.0785293i
\(555\) 20.7779 15.2823i 0.881972 0.648699i
\(556\) 7.05201 6.40899i 0.299072 0.271802i
\(557\) 22.3149 + 6.76915i 0.945513 + 0.286818i 0.725143 0.688598i \(-0.241774\pi\)
0.220370 + 0.975416i \(0.429274\pi\)
\(558\) −3.01818 26.0267i −0.127770 1.10180i
\(559\) 5.84638 + 14.1144i 0.247276 + 0.596976i
\(560\) 21.5011 + 14.2824i 0.908586 + 0.603542i
\(561\) −3.23813 + 1.14413i −0.136714 + 0.0483051i
\(562\) −13.4178 2.31885i −0.565996 0.0978147i
\(563\) −13.5018 25.2600i −0.569032 1.06458i −0.987688 0.156439i \(-0.949999\pi\)
0.418656 0.908145i \(-0.362501\pi\)
\(564\) 7.66992 25.0480i 0.322962 1.05471i
\(565\) −5.12698 6.24724i −0.215693 0.262823i
\(566\) 4.91211 9.77516i 0.206471 0.410881i
\(567\) −43.3714 0.689407i −1.82143 0.0289524i
\(568\) −30.8550 + 24.1806i −1.29465 + 1.01459i
\(569\) −5.60767 + 28.1916i −0.235086 + 1.18185i 0.665237 + 0.746632i \(0.268330\pi\)
−0.900323 + 0.435223i \(0.856670\pi\)
\(570\) 2.96743 + 2.57683i 0.124292 + 0.107931i
\(571\) −13.9323 + 26.0654i −0.583047 + 1.09080i 0.401529 + 0.915846i \(0.368479\pi\)
−0.984576 + 0.174958i \(0.944021\pi\)
\(572\) 14.7605 + 5.25885i 0.617169 + 0.219884i
\(573\) 1.56616 1.71426i 0.0654274 0.0716141i
\(574\) −0.201063 7.97031i −0.00839222 0.332674i
\(575\) 27.9065i 1.16378i
\(576\) 23.3032 5.74110i 0.970967 0.239213i
\(577\) 1.22352i 0.0509360i 0.999676 + 0.0254680i \(0.00810759\pi\)
−0.999676 + 0.0254680i \(0.991892\pi\)
\(578\) 23.2075 0.585446i 0.965306 0.0243513i
\(579\) 5.14026 5.62631i 0.213622 0.233821i
\(580\) 2.52266 1.19731i 0.104748 0.0497157i
\(581\) 25.2924 47.3188i 1.04931 1.96311i
\(582\) −25.5515 + 29.4247i −1.05915 + 1.21969i
\(583\) −5.14711 + 25.8763i −0.213172 + 1.07169i
\(584\) −13.2727 7.48329i −0.549228 0.309661i
\(585\) 1.09342 + 12.0855i 0.0452073 + 0.499675i
\(586\) 26.8297 + 13.4822i 1.10832 + 0.556943i
\(587\) 27.7645 + 33.8312i 1.14596 + 1.39636i 0.904778 + 0.425883i \(0.140036\pi\)
0.241186 + 0.970479i \(0.422464\pi\)
\(588\) −49.6501 + 26.3716i −2.04754 + 1.08755i
\(589\) −3.48855 6.52661i −0.143743 0.268924i
\(590\) 2.07018 11.9789i 0.0852280 0.493164i
\(591\) −10.9163 + 3.85705i −0.449035 + 0.158658i
\(592\) −17.1362 41.0555i −0.704295 1.68737i
\(593\) 14.7793 + 35.6805i 0.606915 + 1.46522i 0.866338 + 0.499458i \(0.166467\pi\)
−0.259424 + 0.965764i \(0.583533\pi\)
\(594\) −12.6091 + 14.2894i −0.517356 + 0.586300i
\(595\) −4.72142 1.43223i −0.193559 0.0587156i
\(596\) −0.382385 + 8.00493i −0.0156631 + 0.327895i
\(597\) 18.3042 13.4629i 0.749141 0.551000i
\(598\) 24.3002 + 28.1321i 0.993708 + 1.15041i
\(599\) 11.4470 17.1316i 0.467710 0.699978i −0.520366 0.853943i \(-0.674204\pi\)
0.988076 + 0.153965i \(0.0492044\pi\)
\(600\) −10.2399 11.9176i −0.418041 0.486532i
\(601\) 6.78206 4.53163i 0.276646 0.184849i −0.409505 0.912308i \(-0.634299\pi\)
0.686151 + 0.727459i \(0.259299\pi\)
\(602\) −29.9787 + 17.0096i −1.22184 + 0.693259i
\(603\) −4.33411 22.7317i −0.176498 0.925705i
\(604\) 30.4028 + 18.1668i 1.23707 + 0.739196i
\(605\) 3.63080 4.42414i 0.147613 0.179867i
\(606\) 1.73112 0.661219i 0.0703218 0.0268602i
\(607\) 19.9817 + 19.9817i 0.811033 + 0.811033i 0.984789 0.173755i \(-0.0555902\pi\)
−0.173755 + 0.984789i \(0.555590\pi\)
\(608\) 5.52895 3.92201i 0.224228 0.159058i
\(609\) −0.461676 + 8.69271i −0.0187081 + 0.352246i
\(610\) 17.4410 7.74522i 0.706166 0.313595i
\(611\) 14.4932 17.6600i 0.586332 0.714447i
\(612\) −3.95023 + 2.33242i −0.159679 + 0.0942826i
\(613\) −8.50254 + 2.57922i −0.343415 + 0.104174i −0.457281 0.889322i \(-0.651177\pi\)
0.113866 + 0.993496i \(0.463677\pi\)
\(614\) −0.706411 0.194975i −0.0285084 0.00786855i
\(615\) 0.669575 2.62873i 0.0269999 0.106001i
\(616\) −7.67568 + 34.5093i −0.309262 + 1.39042i
\(617\) 9.17593 13.7328i 0.369409 0.552860i −0.599469 0.800398i \(-0.704622\pi\)
0.968878 + 0.247538i \(0.0796215\pi\)
\(618\) −6.07453 7.83691i −0.244353 0.315247i
\(619\) 13.5543 + 1.33498i 0.544793 + 0.0536575i 0.366671 0.930351i \(-0.380498\pi\)
0.178123 + 0.984008i \(0.442998\pi\)
\(620\) −5.59237 15.5631i −0.224595 0.625030i
\(621\) −42.7469 + 14.7227i −1.71538 + 0.590802i
\(622\) 19.1263 30.2491i 0.766895 1.21288i
\(623\) 1.37856 + 3.32813i 0.0552308 + 0.133339i
\(624\) 20.7001 + 3.09731i 0.828669 + 0.123992i
\(625\) −0.506407 + 1.22257i −0.0202563 + 0.0489030i
\(626\) 3.87743 + 5.49762i 0.154973 + 0.219729i
\(627\) −1.83348 + 5.06075i −0.0732222 + 0.202107i
\(628\) 2.70823 + 2.00288i 0.108070 + 0.0799236i
\(629\) 5.39464 + 6.57338i 0.215098 + 0.262098i
\(630\) −26.7559 + 5.80426i −1.06598 + 0.231247i
\(631\) −4.87713 24.5190i −0.194155 0.976086i −0.947815 0.318821i \(-0.896713\pi\)
0.753660 0.657265i \(-0.228287\pi\)
\(632\) −1.80550 3.56883i −0.0718190 0.141961i
\(633\) −8.01258 13.4895i −0.318472 0.536158i
\(634\) 4.76263 + 3.71160i 0.189148 + 0.147407i
\(635\) 7.51056 14.0513i 0.298047 0.557607i
\(636\) −0.0922814 + 35.2417i −0.00365920 + 1.39742i
\(637\) −48.7931 + 4.80570i −1.93325 + 0.190409i
\(638\) 2.77161 + 2.63522i 0.109729 + 0.104329i
\(639\) 4.40417 41.3452i 0.174226 1.63559i
\(640\) 13.4982 6.87485i 0.533564 0.271752i
\(641\) 6.41155i 0.253241i −0.991951 0.126620i \(-0.959587\pi\)
0.991951 0.126620i \(-0.0404130\pi\)
\(642\) −24.6457 0.686307i −0.972689 0.0270864i
\(643\) −2.58389 26.2347i −0.101899 1.03459i −0.901124 0.433562i \(-0.857256\pi\)
0.799225 0.601032i \(-0.205244\pi\)
\(644\) −56.2399 + 62.2204i −2.21616 + 2.45183i
\(645\) −11.3872 + 2.80429i −0.448369 + 0.110419i
\(646\) −0.796469 + 1.02201i −0.0313367 + 0.0402104i
\(647\) 3.98939 20.0560i 0.156839 0.788484i −0.819641 0.572877i \(-0.805827\pi\)
0.976480 0.215606i \(-0.0691728\pi\)
\(648\) −12.8529 + 21.9728i −0.504911 + 0.863171i
\(649\) 16.3295 3.24815i 0.640991 0.127501i
\(650\) −4.30720 13.0085i −0.168942 0.510234i
\(651\) 50.9653 + 7.76708i 1.99749 + 0.304416i
\(652\) 1.44443 + 1.06823i 0.0565684 + 0.0418353i
\(653\) 2.65254 + 4.96256i 0.103802 + 0.194200i 0.928461 0.371431i \(-0.121133\pi\)
−0.824659 + 0.565631i \(0.808633\pi\)
\(654\) 1.57684 6.91529i 0.0616593 0.270409i
\(655\) 4.46347 + 1.84883i 0.174402 + 0.0722398i
\(656\) −4.13237 2.19442i −0.161342 0.0856777i
\(657\) 15.5021 4.56830i 0.604795 0.178226i
\(658\) 43.5656 + 27.5463i 1.69836 + 1.07386i
\(659\) 19.6973 + 5.97512i 0.767299 + 0.232758i 0.649584 0.760290i \(-0.274943\pi\)
0.117715 + 0.993047i \(0.462443\pi\)
\(660\) −5.69787 + 10.5931i −0.221789 + 0.412337i
\(661\) −0.841514 + 8.54404i −0.0327311 + 0.332325i 0.964849 + 0.262804i \(0.0846471\pi\)
−0.997580 + 0.0695210i \(0.977853\pi\)
\(662\) 12.7568 + 0.932312i 0.495809 + 0.0362353i
\(663\) −3.95974 + 0.571300i −0.153783 + 0.0221875i
\(664\) −16.8996 26.5677i −0.655830 1.03103i
\(665\) −6.42969 + 4.29618i −0.249333 + 0.166599i
\(666\) 43.9004 + 17.3019i 1.70111 + 0.670436i
\(667\) 2.63378 + 8.68240i 0.101980 + 0.336184i
\(668\) 15.7108 + 21.1237i 0.607871 + 0.817302i
\(669\) −1.67079 37.0097i −0.0645963 1.43088i
\(670\) −5.92801 13.3490i −0.229019 0.515716i
\(671\) 18.4814 + 18.4814i 0.713465 + 0.713465i
\(672\) −1.18657 + 47.2079i −0.0457730 + 1.82108i
\(673\) −24.7280 + 24.7280i −0.953195 + 0.953195i −0.998953 0.0457578i \(-0.985430\pi\)
0.0457578 + 0.998953i \(0.485430\pi\)
\(674\) 22.6494 + 8.71920i 0.872421 + 0.335851i
\(675\) 16.6346 + 1.01611i 0.640267 + 0.0391099i
\(676\) −6.64959 3.97337i −0.255753 0.152822i
\(677\) −41.5301 + 12.5980i −1.59613 + 0.484181i −0.958244 0.285951i \(-0.907691\pi\)
−0.637885 + 0.770131i \(0.720191\pi\)
\(678\) 4.68407 14.0235i 0.179891 0.538570i
\(679\) −42.6005 63.7561i −1.63486 2.44674i
\(680\) −2.09296 + 2.00079i −0.0802615 + 0.0767269i
\(681\) −9.54557 + 1.37721i −0.365787 + 0.0527748i
\(682\) 17.1404 14.8057i 0.656340 0.566939i
\(683\) −40.5800 3.99678i −1.55275 0.152932i −0.715054 0.699069i \(-0.753598\pi\)
−0.837696 + 0.546137i \(0.816098\pi\)
\(684\) −1.10184 + 7.10502i −0.0421301 + 0.271667i
\(685\) −4.96644 + 16.3722i −0.189758 + 0.625548i
\(686\) −13.8243 61.3678i −0.527813 2.34303i
\(687\) −12.1167 5.78979i −0.462280 0.220894i
\(688\) 0.0548169 + 20.2276i 0.00208987 + 0.771171i
\(689\) −11.7616 + 28.3951i −0.448083 + 1.08177i
\(690\) −24.1590 + 15.1872i −0.919716 + 0.578166i
\(691\) 41.4030 22.1304i 1.57504 0.841878i 0.575331 0.817921i \(-0.304873\pi\)
0.999713 0.0239574i \(-0.00762662\pi\)
\(692\) 0.244540 0.981901i 0.00929601 0.0373263i
\(693\) −20.5839 31.3423i −0.781916 1.19059i
\(694\) 20.2814 40.3604i 0.769873 1.53206i
\(695\) 1.24456 + 6.25683i 0.0472089 + 0.237335i
\(696\) 4.31064 + 2.74142i 0.163395 + 0.103913i
\(697\) 0.877152 + 0.174476i 0.0332245 + 0.00660876i
\(698\) 2.76711 + 22.3107i 0.104736 + 0.844471i
\(699\) −3.37770 + 0.831819i −0.127756 + 0.0314623i
\(700\) 27.9300 13.2562i 1.05565 0.501038i
\(701\) 37.3873 3.68232i 1.41210 0.139079i 0.636972 0.770887i \(-0.280187\pi\)
0.775125 + 0.631808i \(0.217687\pi\)
\(702\) −17.6539 + 13.4607i −0.666305 + 0.508040i
\(703\) 13.3278 0.502669
\(704\) 15.4289 + 13.8701i 0.581497 + 0.522748i
\(705\) 11.7255 + 13.0409i 0.441608 + 0.491147i
\(706\) 31.5690 0.796377i 1.18812 0.0299721i
\(707\) 0.357389 + 3.62863i 0.0134410 + 0.136469i
\(708\) 20.5691 8.45696i 0.773033 0.317832i
\(709\) 22.1472 + 11.8379i 0.831755 + 0.444582i 0.831571 0.555418i \(-0.187442\pi\)
0.000183290 1.00000i \(0.499942\pi\)
\(710\) −3.23013 26.0440i −0.121225 0.977413i
\(711\) 4.04958 + 1.26366i 0.151871 + 0.0473908i
\(712\) 2.09867 + 0.254517i 0.0786509 + 0.00953842i
\(713\) 52.7014 10.4830i 1.97368 0.392590i
\(714\) −2.37874 8.70723i −0.0890223 0.325860i
\(715\) −8.10887 + 6.65478i −0.303255 + 0.248875i
\(716\) −9.58779 + 5.76437i −0.358313 + 0.215425i
\(717\) 3.39087 9.35942i 0.126634 0.349534i
\(718\) 4.60992 26.6749i 0.172041 0.995498i
\(719\) −40.0119 16.5735i −1.49219 0.618086i −0.520398 0.853924i \(-0.674217\pi\)
−0.971792 + 0.235838i \(0.924217\pi\)
\(720\) −4.74446 + 15.3505i −0.176816 + 0.572080i
\(721\) 18.0248 7.46611i 0.671278 0.278053i
\(722\) −5.45873 24.2320i −0.203153 0.901823i
\(723\) −30.9731 + 14.4989i −1.15190 + 0.539219i
\(724\) −13.8901 + 12.6235i −0.516220 + 0.469150i
\(725\) 0.327818 3.32839i 0.0121748 0.123613i
\(726\) 10.3874 + 1.31594i 0.385514 + 0.0488392i
\(727\) 19.3441 + 12.9253i 0.717433 + 0.479373i 0.859924 0.510423i \(-0.170511\pi\)
−0.142491 + 0.989796i \(0.545511\pi\)
\(728\) −16.6126 + 37.6841i −0.615705 + 1.39666i
\(729\) −7.21952 26.0169i −0.267390 0.963588i
\(730\) 8.87190 5.03381i 0.328364 0.186310i
\(731\) −1.12235 3.69990i −0.0415117 0.136846i
\(732\) 28.9777 + 19.4722i 1.07104 + 0.719713i
\(733\) 1.33342 + 1.09431i 0.0492509 + 0.0404192i 0.658697 0.752409i \(-0.271108\pi\)
−0.609446 + 0.792828i \(0.708608\pi\)
\(734\) 9.24103 + 3.55747i 0.341093 + 0.131309i
\(735\) 1.99608 37.5834i 0.0736267 1.38629i
\(736\) 15.5976 + 46.6830i 0.574934 + 1.72076i
\(737\) 14.1452 14.1452i 0.521046 0.521046i
\(738\) 4.72342 1.52241i 0.173872 0.0560408i
\(739\) −34.0975 27.9831i −1.25430 1.02938i −0.998028 0.0627705i \(-0.980006\pi\)
−0.256270 0.966605i \(-0.582494\pi\)
\(740\) 29.4665 + 4.33015i 1.08321 + 0.159180i
\(741\) −3.24498 + 5.36546i −0.119207 + 0.197105i
\(742\) −66.8430 18.4492i −2.45388 0.677291i
\(743\) −8.33613 12.4759i −0.305823 0.457696i 0.646445 0.762961i \(-0.276255\pi\)
−0.952268 + 0.305265i \(0.901255\pi\)
\(744\) 18.6598 23.8148i 0.684100 0.873093i
\(745\) −4.46090 2.98068i −0.163435 0.109204i
\(746\) −44.6011 3.25959i −1.63296 0.119342i
\(747\) 32.7026 + 6.77555i 1.19652 + 0.247904i
\(748\) −3.58716 1.69065i −0.131159 0.0618164i
\(749\) 14.0823 46.4232i 0.514557 1.69627i
\(750\) 26.5359 4.51437i 0.968955 0.164842i
\(751\) −43.3208 + 17.9441i −1.58080 + 0.654789i −0.988540 0.150959i \(-0.951764\pi\)
−0.592259 + 0.805747i \(0.701764\pi\)
\(752\) 26.6381 14.3313i 0.971392 0.522609i
\(753\) 31.5933 11.1629i 1.15133 0.406798i
\(754\) 2.56780 + 3.64075i 0.0935138 + 0.132588i
\(755\) −20.9105 + 11.1769i −0.761011 + 0.406769i
\(756\) −35.0409 35.7893i −1.27443 1.30164i
\(757\) −29.9765 + 24.6011i −1.08952 + 0.894142i −0.994849 0.101367i \(-0.967678\pi\)
−0.0946660 + 0.995509i \(0.530178\pi\)
\(758\) 12.6666 + 38.2553i 0.460071 + 1.38949i
\(759\) −31.2989 23.4062i −1.13608 0.849590i
\(760\) 0.343040 + 4.52510i 0.0124434 + 0.164143i
\(761\) 11.6375 + 2.31484i 0.421859 + 0.0839131i 0.401455 0.915879i \(-0.368505\pi\)
0.0204044 + 0.999792i \(0.493505\pi\)
\(762\) 29.0759 2.04843i 1.05331 0.0742068i
\(763\) 12.3080 + 6.57876i 0.445579 + 0.238167i
\(764\) 2.67777 0.135188i 0.0968783 0.00489092i
\(765\) 0.0244059 3.07100i 0.000882396 0.111032i
\(766\) 7.36709 + 7.00455i 0.266184 + 0.253085i
\(767\) 19.3955 0.700330
\(768\) 23.7907 + 14.2128i 0.858471 + 0.512862i
\(769\) 15.8680 0.572214 0.286107 0.958198i \(-0.407639\pi\)
0.286107 + 0.958198i \(0.407639\pi\)
\(770\) −17.1519 16.3078i −0.618111 0.587693i
\(771\) 3.25054 3.55790i 0.117065 0.128135i
\(772\) 8.78862 0.443695i 0.316309 0.0159689i
\(773\) −18.9977 10.1545i −0.683301 0.365232i 0.0929372 0.995672i \(-0.470374\pi\)