Properties

Label 576.2.bl.a.11.7
Level $576$
Weight $2$
Character 576.11
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37786 + 0.318576i) q^{2} +(-0.139389 - 1.72643i) q^{3} +(1.79702 - 0.877909i) q^{4} +(-0.245576 - 0.121104i) q^{5} +(0.742059 + 2.33438i) q^{6} +(0.961138 + 1.25258i) q^{7} +(-2.19637 + 1.78213i) q^{8} +(-2.96114 + 0.481292i) q^{9} +O(q^{10})\) \(q+(-1.37786 + 0.318576i) q^{2} +(-0.139389 - 1.72643i) q^{3} +(1.79702 - 0.877909i) q^{4} +(-0.245576 - 0.121104i) q^{5} +(0.742059 + 2.33438i) q^{6} +(0.961138 + 1.25258i) q^{7} +(-2.19637 + 1.78213i) q^{8} +(-2.96114 + 0.481292i) q^{9} +(0.376951 + 0.0886311i) q^{10} +(-2.50606 - 2.19776i) q^{11} +(-1.76613 - 2.98006i) q^{12} +(0.468830 + 0.0307287i) q^{13} +(-1.72336 - 1.41969i) q^{14} +(-0.174848 + 0.440850i) q^{15} +(2.45855 - 3.15524i) q^{16} +(-4.48441 - 4.48441i) q^{17} +(3.92672 - 1.60650i) q^{18} +(-1.86202 + 2.78672i) q^{19} +(-0.547623 - 0.00203412i) q^{20} +(2.02852 - 1.83394i) q^{21} +(4.15316 + 2.22984i) q^{22} +(3.20641 - 4.17867i) q^{23} +(3.38287 + 3.54347i) q^{24} +(-2.99817 - 3.90729i) q^{25} +(-0.655773 + 0.107018i) q^{26} +(1.24367 + 5.04513i) q^{27} +(2.82683 + 1.40712i) q^{28} +(-1.39807 + 4.11859i) q^{29} +(0.100473 - 0.663134i) q^{30} +(-2.61957 - 4.53723i) q^{31} +(-2.38237 + 5.13072i) q^{32} +(-3.44496 + 4.63289i) q^{33} +(7.60753 + 4.75028i) q^{34} +(-0.0843391 - 0.424001i) q^{35} +(-4.89870 + 3.46450i) q^{36} +(-7.67080 + 5.12546i) q^{37} +(1.67784 - 4.43291i) q^{38} +(-0.0122986 - 0.813687i) q^{39} +(0.755198 - 0.171657i) q^{40} +(-4.44905 - 3.41387i) q^{41} +(-2.21078 + 3.17315i) q^{42} +(4.90699 + 4.30332i) q^{43} +(-6.43287 - 1.74932i) q^{44} +(0.785471 + 0.240414i) q^{45} +(-3.08677 + 6.77913i) q^{46} +(0.164065 + 0.612298i) q^{47} +(-5.79000 - 3.80472i) q^{48} +(1.16656 - 4.35368i) q^{49} +(5.37583 + 4.42857i) q^{50} +(-7.11695 + 8.36711i) q^{51} +(0.869473 - 0.356370i) q^{52} +(-6.57551 - 1.30795i) q^{53} +(-3.32086 - 6.55529i) q^{54} +(0.349269 + 0.843210i) q^{55} +(-4.34327 - 1.03826i) q^{56} +(5.07063 + 2.82622i) q^{57} +(0.614271 - 6.12025i) q^{58} +(-6.50232 + 13.1854i) q^{59} +(0.0728208 + 0.945717i) q^{60} +(4.18111 - 12.3172i) q^{61} +(5.05487 + 5.41716i) q^{62} +(-3.44892 - 3.24648i) q^{63} +(1.64806 - 7.82840i) q^{64} +(-0.111412 - 0.0643236i) q^{65} +(3.27076 - 7.48097i) q^{66} +(1.62771 - 1.42747i) q^{67} +(-11.9955 - 4.12167i) q^{68} +(-7.66114 - 4.95319i) q^{69} +(0.251284 + 0.557347i) q^{70} +(-4.92134 - 2.03849i) q^{71} +(5.64603 - 6.33422i) q^{72} +(-8.43762 + 3.49498i) q^{73} +(8.93647 - 9.50592i) q^{74} +(-6.32776 + 5.72077i) q^{75} +(-0.899611 + 6.64247i) q^{76} +(0.344194 - 5.25139i) q^{77} +(0.276167 + 1.11723i) q^{78} +(-0.0695192 - 0.259449i) q^{79} +(-0.985874 + 0.477107i) q^{80} +(8.53672 - 2.85034i) q^{81} +(7.21776 + 3.28650i) q^{82} +(9.48151 - 4.67576i) q^{83} +(2.03526 - 5.07647i) q^{84} +(0.558179 + 1.64434i) q^{85} +(-8.13210 - 4.36614i) q^{86} +(7.30534 + 1.83959i) q^{87} +(9.42091 + 0.360965i) q^{88} +(-3.52536 - 1.46025i) q^{89} +(-1.15886 - 0.0810259i) q^{90} +(0.412120 + 0.616781i) q^{91} +(2.09348 - 10.3241i) q^{92} +(-7.46809 + 5.15496i) q^{93} +(-0.421123 - 0.791397i) q^{94} +(0.794752 - 0.458850i) q^{95} +(9.18992 + 3.39784i) q^{96} +(1.95736 + 1.13008i) q^{97} +(-0.220390 + 6.37042i) q^{98} +(8.47856 + 5.30172i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37786 + 0.318576i −0.974297 + 0.225267i
\(3\) −0.139389 1.72643i −0.0804763 0.996757i
\(4\) 1.79702 0.877909i 0.898509 0.438954i
\(5\) −0.245576 0.121104i −0.109825 0.0541596i 0.386547 0.922270i \(-0.373668\pi\)
−0.496371 + 0.868110i \(0.665335\pi\)
\(6\) 0.742059 + 2.33438i 0.302944 + 0.953008i
\(7\) 0.961138 + 1.25258i 0.363276 + 0.473431i 0.938854 0.344317i \(-0.111889\pi\)
−0.575578 + 0.817747i \(0.695223\pi\)
\(8\) −2.19637 + 1.78213i −0.776533 + 0.630077i
\(9\) −2.96114 + 0.481292i −0.987047 + 0.160431i
\(10\) 0.376951 + 0.0886311i 0.119202 + 0.0280276i
\(11\) −2.50606 2.19776i −0.755606 0.662648i 0.192251 0.981346i \(-0.438421\pi\)
−0.947856 + 0.318697i \(0.896755\pi\)
\(12\) −1.76613 2.98006i −0.509839 0.860270i
\(13\) 0.468830 + 0.0307287i 0.130030 + 0.00852262i 0.130279 0.991477i \(-0.458413\pi\)
−0.000249145 1.00000i \(0.500079\pi\)
\(14\) −1.72336 1.41969i −0.460587 0.379428i
\(15\) −0.174848 + 0.440850i −0.0451456 + 0.113827i
\(16\) 2.45855 3.15524i 0.614638 0.788809i
\(17\) −4.48441 4.48441i −1.08763 1.08763i −0.995772 0.0918566i \(-0.970720\pi\)
−0.0918566 0.995772i \(-0.529280\pi\)
\(18\) 3.92672 1.60650i 0.925537 0.378656i
\(19\) −1.86202 + 2.78672i −0.427178 + 0.639317i −0.981157 0.193214i \(-0.938109\pi\)
0.553979 + 0.832531i \(0.313109\pi\)
\(20\) −0.547623 0.00203412i −0.122452 0.000454843i
\(21\) 2.02852 1.83394i 0.442660 0.400198i
\(22\) 4.15316 + 2.22984i 0.885457 + 0.475403i
\(23\) 3.20641 4.17867i 0.668582 0.871313i −0.328742 0.944420i \(-0.606625\pi\)
0.997324 + 0.0731064i \(0.0232913\pi\)
\(24\) 3.38287 + 3.54347i 0.690525 + 0.723308i
\(25\) −2.99817 3.90729i −0.599633 0.781457i
\(26\) −0.655773 + 0.107018i −0.128608 + 0.0209879i
\(27\) 1.24367 + 5.04513i 0.239344 + 0.970935i
\(28\) 2.82683 + 1.40712i 0.534221 + 0.265920i
\(29\) −1.39807 + 4.11859i −0.259615 + 0.764803i 0.736475 + 0.676465i \(0.236489\pi\)
−0.996091 + 0.0883379i \(0.971844\pi\)
\(30\) 0.100473 0.663134i 0.0183437 0.121071i
\(31\) −2.61957 4.53723i −0.470489 0.814911i 0.528941 0.848658i \(-0.322589\pi\)
−0.999430 + 0.0337475i \(0.989256\pi\)
\(32\) −2.38237 + 5.13072i −0.421147 + 0.906992i
\(33\) −3.44496 + 4.63289i −0.599691 + 0.806482i
\(34\) 7.60753 + 4.75028i 1.30468 + 0.814667i
\(35\) −0.0843391 0.424001i −0.0142559 0.0716693i
\(36\) −4.89870 + 3.46450i −0.816449 + 0.577417i
\(37\) −7.67080 + 5.12546i −1.26107 + 0.842621i −0.992690 0.120692i \(-0.961489\pi\)
−0.268381 + 0.963313i \(0.586489\pi\)
\(38\) 1.67784 4.43291i 0.272181 0.719114i
\(39\) −0.0122986 0.813687i −0.00196936 0.130294i
\(40\) 0.755198 0.171657i 0.119407 0.0271413i
\(41\) −4.44905 3.41387i −0.694825 0.533158i 0.199878 0.979821i \(-0.435946\pi\)
−0.894702 + 0.446663i \(0.852612\pi\)
\(42\) −2.21078 + 3.17315i −0.341131 + 0.489628i
\(43\) 4.90699 + 4.30332i 0.748309 + 0.656250i 0.946056 0.324004i \(-0.105029\pi\)
−0.197747 + 0.980253i \(0.563362\pi\)
\(44\) −6.43287 1.74932i −0.969791 0.263719i
\(45\) 0.785471 + 0.240414i 0.117091 + 0.0358388i
\(46\) −3.08677 + 6.77913i −0.455119 + 0.999528i
\(47\) 0.164065 + 0.612298i 0.0239313 + 0.0893129i 0.976859 0.213886i \(-0.0686121\pi\)
−0.952927 + 0.303199i \(0.901945\pi\)
\(48\) −5.79000 3.80472i −0.835714 0.549164i
\(49\) 1.16656 4.35368i 0.166652 0.621954i
\(50\) 5.37583 + 4.42857i 0.760258 + 0.626294i
\(51\) −7.11695 + 8.36711i −0.996573 + 1.17163i
\(52\) 0.869473 0.356370i 0.120574 0.0494196i
\(53\) −6.57551 1.30795i −0.903216 0.179661i −0.278429 0.960457i \(-0.589814\pi\)
−0.624786 + 0.780796i \(0.714814\pi\)
\(54\) −3.32086 6.55529i −0.451912 0.892063i
\(55\) 0.349269 + 0.843210i 0.0470954 + 0.113698i
\(56\) −4.34327 1.03826i −0.580393 0.138743i
\(57\) 5.07063 + 2.82622i 0.671621 + 0.374342i
\(58\) 0.614271 6.12025i 0.0806577 0.803628i
\(59\) −6.50232 + 13.1854i −0.846530 + 1.71659i −0.163059 + 0.986616i \(0.552136\pi\)
−0.683471 + 0.729978i \(0.739530\pi\)
\(60\) 0.0728208 + 0.945717i 0.00940113 + 0.122092i
\(61\) 4.18111 12.3172i 0.535337 1.57705i −0.256645 0.966506i \(-0.582617\pi\)
0.791981 0.610545i \(-0.209050\pi\)
\(62\) 5.05487 + 5.41716i 0.641969 + 0.687979i
\(63\) −3.44892 3.24648i −0.434523 0.409018i
\(64\) 1.64806 7.82840i 0.206007 0.978550i
\(65\) −0.111412 0.0643236i −0.0138189 0.00797837i
\(66\) 3.27076 7.48097i 0.402603 0.920844i
\(67\) 1.62771 1.42747i 0.198857 0.174393i −0.554126 0.832433i \(-0.686948\pi\)
0.752983 + 0.658040i \(0.228614\pi\)
\(68\) −11.9955 4.12167i −1.45466 0.499825i
\(69\) −7.66114 4.95319i −0.922292 0.596294i
\(70\) 0.251284 + 0.557347i 0.0300342 + 0.0666158i
\(71\) −4.92134 2.03849i −0.584055 0.241924i 0.0710354 0.997474i \(-0.477370\pi\)
−0.655091 + 0.755550i \(0.727370\pi\)
\(72\) 5.64603 6.33422i 0.665391 0.746495i
\(73\) −8.43762 + 3.49498i −0.987548 + 0.409056i −0.817216 0.576331i \(-0.804484\pi\)
−0.170332 + 0.985387i \(0.554484\pi\)
\(74\) 8.93647 9.50592i 1.03884 1.10504i
\(75\) −6.32776 + 5.72077i −0.730666 + 0.660577i
\(76\) −0.899611 + 6.64247i −0.103192 + 0.761944i
\(77\) 0.344194 5.25139i 0.0392246 0.598451i
\(78\) 0.276167 + 1.11723i 0.0312697 + 0.126502i
\(79\) −0.0695192 0.259449i −0.00782153 0.0291903i 0.961905 0.273385i \(-0.0881432\pi\)
−0.969726 + 0.244194i \(0.921477\pi\)
\(80\) −0.985874 + 0.477107i −0.110224 + 0.0533422i
\(81\) 8.53672 2.85034i 0.948524 0.316705i
\(82\) 7.21776 + 3.28650i 0.797068 + 0.362933i
\(83\) 9.48151 4.67576i 1.04073 0.513232i 0.160133 0.987095i \(-0.448808\pi\)
0.880598 + 0.473864i \(0.157141\pi\)
\(84\) 2.03526 5.07647i 0.222066 0.553889i
\(85\) 0.558179 + 1.64434i 0.0605431 + 0.178354i
\(86\) −8.13210 4.36614i −0.876907 0.470812i
\(87\) 7.30534 + 1.83959i 0.783215 + 0.197225i
\(88\) 9.42091 + 0.360965i 1.00427 + 0.0384790i
\(89\) −3.52536 1.46025i −0.373687 0.154786i 0.187932 0.982182i \(-0.439821\pi\)
−0.561619 + 0.827396i \(0.689821\pi\)
\(90\) −1.15886 0.0810259i −0.122155 0.00854088i
\(91\) 0.412120 + 0.616781i 0.0432019 + 0.0646562i
\(92\) 2.09348 10.3241i 0.218261 1.07636i
\(93\) −7.46809 + 5.15496i −0.774404 + 0.534544i
\(94\) −0.421123 0.791397i −0.0434355 0.0816264i
\(95\) 0.794752 0.458850i 0.0815398 0.0470770i
\(96\) 9.18992 + 3.39784i 0.937943 + 0.346790i
\(97\) 1.95736 + 1.13008i 0.198740 + 0.114743i 0.596068 0.802934i \(-0.296729\pi\)
−0.397328 + 0.917677i \(0.630062\pi\)
\(98\) −0.220390 + 6.37042i −0.0222628 + 0.643509i
\(99\) 8.47856 + 5.30172i 0.852127 + 0.532843i
\(100\) −8.81800 4.38935i −0.881800 0.438935i
\(101\) 0.280073 0.0183570i 0.0278683 0.00182659i −0.0514626 0.998675i \(-0.516388\pi\)
0.0793309 + 0.996848i \(0.474722\pi\)
\(102\) 7.14064 13.7960i 0.707028 1.36601i
\(103\) 0.268214 + 2.03729i 0.0264279 + 0.200740i 0.999565 0.0294856i \(-0.00938693\pi\)
−0.973137 + 0.230226i \(0.926054\pi\)
\(104\) −1.08449 + 0.768022i −0.106343 + 0.0753108i
\(105\) −0.720253 + 0.204707i −0.0702895 + 0.0199773i
\(106\) 9.47684 0.292621i 0.920472 0.0284219i
\(107\) 6.64293 + 1.32136i 0.642196 + 0.127741i 0.505437 0.862864i \(-0.331331\pi\)
0.136759 + 0.990604i \(0.456331\pi\)
\(108\) 6.66405 + 7.97436i 0.641249 + 0.767333i
\(109\) −9.19587 6.14448i −0.880804 0.588535i 0.0308355 0.999524i \(-0.490183\pi\)
−0.911640 + 0.410990i \(0.865183\pi\)
\(110\) −0.749872 1.05056i −0.0714975 0.100167i
\(111\) 9.91799 + 12.5287i 0.941374 + 1.18917i
\(112\) 6.31519 + 0.0469156i 0.596730 + 0.00443311i
\(113\) 16.6243 + 4.45448i 1.56389 + 0.419042i 0.933891 0.357558i \(-0.116390\pi\)
0.629995 + 0.776600i \(0.283057\pi\)
\(114\) −7.88700 2.27877i −0.738685 0.213427i
\(115\) −1.29347 + 0.637870i −0.120617 + 0.0594816i
\(116\) 1.10338 + 8.62856i 0.102446 + 0.801142i
\(117\) −1.40306 + 0.134652i −0.129713 + 0.0124486i
\(118\) 4.75876 20.2392i 0.438080 1.86317i
\(119\) 1.30694 9.92721i 0.119807 0.910026i
\(120\) −0.401620 1.27987i −0.0366627 0.116836i
\(121\) 0.0144192 + 0.109525i 0.00131084 + 0.00995678i
\(122\) −1.83705 + 18.3034i −0.166319 + 1.65711i
\(123\) −5.27368 + 8.15684i −0.475511 + 0.735477i
\(124\) −8.69069 5.85375i −0.780447 0.525682i
\(125\) 0.530178 + 2.66539i 0.0474206 + 0.238399i
\(126\) 5.78639 + 3.37446i 0.515493 + 0.300621i
\(127\) 8.15273i 0.723437i 0.932287 + 0.361719i \(0.117810\pi\)
−0.932287 + 0.361719i \(0.882190\pi\)
\(128\) 0.223142 + 11.3115i 0.0197231 + 0.999805i
\(129\) 6.74541 9.07143i 0.593900 0.798695i
\(130\) 0.174002 + 0.0531361i 0.0152610 + 0.00466035i
\(131\) −4.64389 5.29534i −0.405738 0.462656i 0.512498 0.858688i \(-0.328720\pi\)
−0.918237 + 0.396032i \(0.870387\pi\)
\(132\) −2.12341 + 11.3497i −0.184819 + 0.987869i
\(133\) −5.28025 + 0.346086i −0.457855 + 0.0300094i
\(134\) −1.78801 + 2.48541i −0.154461 + 0.214706i
\(135\) 0.305573 1.38957i 0.0262995 0.119595i
\(136\) 17.8412 + 1.85763i 1.52987 + 0.159290i
\(137\) −6.12372 0.806203i −0.523185 0.0688786i −0.135691 0.990751i \(-0.543326\pi\)
−0.387493 + 0.921873i \(0.626659\pi\)
\(138\) 12.1340 + 4.38417i 1.03291 + 0.373205i
\(139\) 3.98373 + 11.7357i 0.337895 + 0.995408i 0.974533 + 0.224245i \(0.0719915\pi\)
−0.636637 + 0.771163i \(0.719675\pi\)
\(140\) −0.523793 0.687896i −0.0442686 0.0581378i
\(141\) 1.03422 0.368595i 0.0870973 0.0310413i
\(142\) 7.43035 + 1.24094i 0.623541 + 0.104137i
\(143\) −1.10738 1.10738i −0.0926039 0.0926039i
\(144\) −5.76154 + 10.5264i −0.480128 + 0.877198i
\(145\) 0.842112 0.842112i 0.0699336 0.0699336i
\(146\) 10.5125 7.50362i 0.870019 0.621004i
\(147\) −7.67894 1.40714i −0.633348 0.116059i
\(148\) −9.28488 + 15.9448i −0.763212 + 1.31066i
\(149\) 12.8071 4.34742i 1.04920 0.356155i 0.256995 0.966413i \(-0.417268\pi\)
0.792203 + 0.610258i \(0.208934\pi\)
\(150\) 6.89629 9.89831i 0.563080 0.808193i
\(151\) 2.22850 16.9272i 0.181353 1.37751i −0.622470 0.782644i \(-0.713871\pi\)
0.803823 0.594869i \(-0.202796\pi\)
\(152\) −0.876589 9.43902i −0.0711008 0.765605i
\(153\) 15.4373 + 11.1207i 1.24803 + 0.899052i
\(154\) 1.19871 + 7.34535i 0.0965950 + 0.591905i
\(155\) 0.0938238 + 1.43148i 0.00753611 + 0.114979i
\(156\) −0.736443 1.45141i −0.0589627 0.116206i
\(157\) 17.1300 15.0226i 1.36712 1.19893i 0.409015 0.912528i \(-0.365872\pi\)
0.958108 0.286407i \(-0.0924611\pi\)
\(158\) 0.178442 + 0.335339i 0.0141961 + 0.0266781i
\(159\) −1.34153 + 11.5345i −0.106391 + 0.914744i
\(160\) 1.20641 0.971465i 0.0953747 0.0768010i
\(161\) 8.31592 0.655386
\(162\) −10.8544 + 6.64698i −0.852801 + 0.522236i
\(163\) −5.43636 + 1.08136i −0.425809 + 0.0846987i −0.403343 0.915049i \(-0.632152\pi\)
−0.0224661 + 0.999748i \(0.507152\pi\)
\(164\) −10.9921 2.22894i −0.858338 0.174051i
\(165\) 1.40706 0.720524i 0.109540 0.0560927i
\(166\) −11.5746 + 9.46315i −0.898367 + 0.734483i
\(167\) 17.6051 2.31775i 1.36232 0.179353i 0.586319 0.810081i \(-0.300577\pi\)
0.776005 + 0.630727i \(0.217243\pi\)
\(168\) −1.18708 + 7.64308i −0.0915849 + 0.589676i
\(169\) −12.6699 1.66803i −0.974610 0.128310i
\(170\) −1.29294 2.08786i −0.0991642 0.160131i
\(171\) 4.17250 9.14804i 0.319079 0.699568i
\(172\) 12.5959 + 3.42525i 0.960426 + 0.261173i
\(173\) 6.85327 + 13.8971i 0.521044 + 1.05657i 0.985294 + 0.170869i \(0.0546574\pi\)
−0.464250 + 0.885704i \(0.653676\pi\)
\(174\) −10.6518 0.207402i −0.807512 0.0157231i
\(175\) 2.01253 7.51088i 0.152133 0.567769i
\(176\) −13.0957 + 2.50391i −0.987127 + 0.188740i
\(177\) 23.6701 + 9.38792i 1.77915 + 0.705640i
\(178\) 5.32266 + 0.888933i 0.398951 + 0.0666284i
\(179\) 1.49763 2.24136i 0.111938 0.167527i −0.771271 0.636507i \(-0.780379\pi\)
0.883209 + 0.468980i \(0.155379\pi\)
\(180\) 1.62257 0.257543i 0.120939 0.0191961i
\(181\) 3.71188 18.6609i 0.275902 1.38705i −0.555562 0.831475i \(-0.687497\pi\)
0.831464 0.555578i \(-0.187503\pi\)
\(182\) −0.764337 0.718549i −0.0566564 0.0532624i
\(183\) −21.8476 5.50153i −1.61502 0.406685i
\(184\) 0.404469 + 14.8921i 0.0298179 + 1.09786i
\(185\) 2.50448 0.329721i 0.184133 0.0242415i
\(186\) 8.64776 9.48198i 0.634085 0.695252i
\(187\) 1.38256 + 21.0938i 0.101103 + 1.54253i
\(188\) 0.832370 + 0.956278i 0.0607068 + 0.0697437i
\(189\) −5.12408 + 6.40685i −0.372722 + 0.466030i
\(190\) −0.948881 + 0.885422i −0.0688391 + 0.0642353i
\(191\) 9.93603 17.2097i 0.718946 1.24525i −0.242471 0.970159i \(-0.577958\pi\)
0.961418 0.275093i \(-0.0887086\pi\)
\(192\) −13.7449 1.75407i −0.991955 0.126589i
\(193\) −6.87149 11.9018i −0.494620 0.856708i 0.505360 0.862908i \(-0.331360\pi\)
−0.999981 + 0.00620082i \(0.998026\pi\)
\(194\) −3.05700 0.933533i −0.219480 0.0670238i
\(195\) −0.0955209 + 0.201311i −0.00684039 + 0.0144162i
\(196\) −1.72579 8.84778i −0.123271 0.631984i
\(197\) 3.96476 2.64917i 0.282478 0.188746i −0.406257 0.913759i \(-0.633166\pi\)
0.688735 + 0.725013i \(0.258166\pi\)
\(198\) −13.3713 4.60399i −0.950257 0.327191i
\(199\) −1.75348 + 4.23327i −0.124301 + 0.300089i −0.973764 0.227558i \(-0.926926\pi\)
0.849464 + 0.527647i \(0.176926\pi\)
\(200\) 13.5483 + 3.23873i 0.958013 + 0.229013i
\(201\) −2.69131 2.61117i −0.189830 0.184177i
\(202\) −0.380055 + 0.114518i −0.0267406 + 0.00805746i
\(203\) −6.50260 + 2.20733i −0.456393 + 0.154925i
\(204\) −5.44374 + 21.2839i −0.381138 + 1.49017i
\(205\) 0.679142 + 1.37716i 0.0474333 + 0.0961853i
\(206\) −1.01859 2.72166i −0.0709688 0.189627i
\(207\) −7.48347 + 13.9169i −0.520137 + 0.967288i
\(208\) 1.24960 1.40372i 0.0866442 0.0973305i
\(209\) 10.7909 2.89140i 0.746420 0.200003i
\(210\) 0.927197 0.511514i 0.0639827 0.0352978i
\(211\) 13.5230 + 0.886345i 0.930963 + 0.0610185i 0.523332 0.852129i \(-0.324689\pi\)
0.407630 + 0.913147i \(0.366355\pi\)
\(212\) −12.9646 + 3.42228i −0.890410 + 0.235043i
\(213\) −2.83333 + 8.78050i −0.194136 + 0.601630i
\(214\) −9.57401 + 0.295621i −0.654466 + 0.0202083i
\(215\) −0.683887 1.65105i −0.0466407 0.112601i
\(216\) −11.7226 8.86457i −0.797622 0.603158i
\(217\) 3.16547 7.64213i 0.214886 0.518781i
\(218\) 14.6281 + 5.53668i 0.990743 + 0.374991i
\(219\) 7.20995 + 14.0798i 0.487203 + 0.951426i
\(220\) 1.36790 + 1.20864i 0.0922241 + 0.0814864i
\(221\) −1.96462 2.24023i −0.132155 0.150694i
\(222\) −17.6570 14.1032i −1.18506 0.946544i
\(223\) 4.23315 7.33203i 0.283473 0.490989i −0.688765 0.724985i \(-0.741847\pi\)
0.972238 + 0.233995i \(0.0751801\pi\)
\(224\) −8.71642 + 1.94722i −0.582391 + 0.130104i
\(225\) 10.7585 + 10.1270i 0.717236 + 0.675136i
\(226\) −24.3252 0.841552i −1.61809 0.0559792i
\(227\) −1.36088 0.461955i −0.0903245 0.0306610i 0.275911 0.961183i \(-0.411020\pi\)
−0.366236 + 0.930522i \(0.619354\pi\)
\(228\) 11.5932 + 0.627231i 0.767777 + 0.0415394i
\(229\) −14.5563 7.17839i −0.961909 0.474361i −0.107639 0.994190i \(-0.534329\pi\)
−0.854270 + 0.519829i \(0.825996\pi\)
\(230\) 1.57902 1.29097i 0.104117 0.0851238i
\(231\) −9.11414 + 0.137758i −0.599667 + 0.00906378i
\(232\) −4.26916 11.5375i −0.280284 0.757472i
\(233\) 17.4842 7.24221i 1.14543 0.474453i 0.272432 0.962175i \(-0.412172\pi\)
0.872999 + 0.487722i \(0.162172\pi\)
\(234\) 1.89033 0.632513i 0.123575 0.0413487i
\(235\) 0.0338618 0.170235i 0.00220890 0.0111049i
\(236\) −0.109216 + 29.4029i −0.00710933 + 1.91396i
\(237\) −0.438232 + 0.156185i −0.0284662 + 0.0101453i
\(238\) 1.36178 + 14.0947i 0.0882712 + 0.913624i
\(239\) −8.19214 2.19508i −0.529905 0.141988i −0.0160607 0.999871i \(-0.505113\pi\)
−0.513845 + 0.857883i \(0.671779\pi\)
\(240\) 0.961114 + 1.63554i 0.0620396 + 0.105574i
\(241\) −10.4281 + 2.79421i −0.671735 + 0.179991i −0.578536 0.815657i \(-0.696376\pi\)
−0.0931986 + 0.995648i \(0.529709\pi\)
\(242\) −0.0547596 0.146316i −0.00352008 0.00940557i
\(243\) −6.11085 14.3408i −0.392011 0.919960i
\(244\) −3.29980 25.8048i −0.211248 1.65198i
\(245\) −0.813730 + 0.927881i −0.0519873 + 0.0592801i
\(246\) 4.66784 12.9191i 0.297610 0.823691i
\(247\) −0.958605 + 1.24928i −0.0609946 + 0.0794897i
\(248\) 13.8395 + 5.29702i 0.878806 + 0.336361i
\(249\) −9.39401 15.7174i −0.595321 0.996052i
\(250\) −1.57964 3.50364i −0.0999053 0.221589i
\(251\) −14.4933 21.6908i −0.914811 1.36911i −0.929343 0.369217i \(-0.879626\pi\)
0.0145321 0.999894i \(-0.495374\pi\)
\(252\) −9.04789 2.80614i −0.569963 0.176770i
\(253\) −17.2192 + 3.42510i −1.08256 + 0.215334i
\(254\) −2.59726 11.2333i −0.162967 0.704843i
\(255\) 2.76104 1.19286i 0.172903 0.0747000i
\(256\) −3.91103 15.5146i −0.244440 0.969665i
\(257\) −9.80819 + 5.66276i −0.611818 + 0.353233i −0.773677 0.633581i \(-0.781584\pi\)
0.161859 + 0.986814i \(0.448251\pi\)
\(258\) −6.40431 + 14.6481i −0.398715 + 0.911952i
\(259\) −13.7927 4.68200i −0.857039 0.290926i
\(260\) −0.256679 0.0177814i −0.0159186 0.00110276i
\(261\) 2.15765 12.8686i 0.133555 0.796546i
\(262\) 8.08561 + 5.81683i 0.499531 + 0.359365i
\(263\) 9.03501 6.93281i 0.557123 0.427495i −0.291441 0.956589i \(-0.594135\pi\)
0.848563 + 0.529094i \(0.177468\pi\)
\(264\) −0.689989 16.3149i −0.0424659 1.00411i
\(265\) 1.45639 + 1.11752i 0.0894651 + 0.0686490i
\(266\) 7.16521 2.15902i 0.439327 0.132378i
\(267\) −2.02963 + 6.28984i −0.124211 + 0.384932i
\(268\) 1.67185 3.99417i 0.102124 0.243983i
\(269\) −16.3781 10.9435i −0.998593 0.667238i −0.0550481 0.998484i \(-0.517531\pi\)
−0.943545 + 0.331245i \(0.892531\pi\)
\(270\) 0.0216469 + 2.01199i 0.00131739 + 0.122446i
\(271\) −9.41589 + 9.41589i −0.571975 + 0.571975i −0.932680 0.360705i \(-0.882536\pi\)
0.360705 + 0.932680i \(0.382536\pi\)
\(272\) −25.1745 + 3.12421i −1.52643 + 0.189433i
\(273\) 1.00739 0.797470i 0.0609698 0.0482651i
\(274\) 8.69449 0.840031i 0.525253 0.0507481i
\(275\) −1.07368 + 16.3811i −0.0647451 + 0.987819i
\(276\) −18.1157 2.17519i −1.09043 0.130931i
\(277\) −6.47672 + 7.38528i −0.389148 + 0.443739i −0.912931 0.408113i \(-0.866187\pi\)
0.523783 + 0.851852i \(0.324520\pi\)
\(278\) −9.22774 14.9011i −0.553443 0.893706i
\(279\) 9.94065 + 12.1746i 0.595131 + 0.728875i
\(280\) 0.940863 + 0.780959i 0.0562273 + 0.0466712i
\(281\) 6.71697 5.15411i 0.400701 0.307468i −0.388680 0.921373i \(-0.627069\pi\)
0.789380 + 0.613905i \(0.210402\pi\)
\(282\) −1.30759 + 0.837352i −0.0778661 + 0.0498636i
\(283\) 2.49371 5.05675i 0.148236 0.300593i −0.810072 0.586330i \(-0.800572\pi\)
0.958308 + 0.285738i \(0.0922387\pi\)
\(284\) −10.6333 + 0.657289i −0.630973 + 0.0390029i
\(285\) −0.902954 1.30813i −0.0534864 0.0774868i
\(286\) 1.87861 + 1.17304i 0.111084 + 0.0693631i
\(287\) 8.85399i 0.522635i
\(288\) 4.58516 16.3394i 0.270183 0.962809i
\(289\) 23.2198i 1.36587i
\(290\) −0.892039 + 1.42859i −0.0523823 + 0.0838898i
\(291\) 1.67818 3.53678i 0.0983766 0.207329i
\(292\) −12.0943 + 13.6880i −0.707765 + 0.801029i
\(293\) −9.05185 + 18.3553i −0.528814 + 1.07233i 0.454556 + 0.890718i \(0.349798\pi\)
−0.983370 + 0.181611i \(0.941869\pi\)
\(294\) 11.0288 0.507476i 0.643214 0.0295966i
\(295\) 3.19362 2.45055i 0.185940 0.142677i
\(296\) 7.71367 24.9277i 0.448348 1.44889i
\(297\) 7.97125 15.3767i 0.462539 0.892245i
\(298\) −16.2614 + 10.0702i −0.942000 + 0.583350i
\(299\) 1.63167 1.86056i 0.0943617 0.107599i
\(300\) −6.34879 + 15.8355i −0.366547 + 0.914264i
\(301\) −0.673949 + 10.2825i −0.0388458 + 0.592672i
\(302\) 2.32201 + 24.0333i 0.133617 + 1.38296i
\(303\) −0.0707312 0.480969i −0.00406340 0.0276309i
\(304\) 4.21486 + 12.7264i 0.241739 + 0.729910i
\(305\) −2.51844 + 2.51844i −0.144206 + 0.144206i
\(306\) −24.8132 10.4048i −1.41848 0.594804i
\(307\) 8.78026 + 5.86678i 0.501116 + 0.334835i 0.780303 0.625402i \(-0.215065\pi\)
−0.279187 + 0.960237i \(0.590065\pi\)
\(308\) −3.99171 9.73901i −0.227449 0.554932i
\(309\) 3.47985 0.747029i 0.197962 0.0424970i
\(310\) −0.585310 1.94249i −0.0332434 0.110326i
\(311\) 11.0387 + 8.47029i 0.625947 + 0.480306i 0.872363 0.488858i \(-0.162586\pi\)
−0.246416 + 0.969164i \(0.579253\pi\)
\(312\) 1.47710 + 1.76524i 0.0836246 + 0.0999369i
\(313\) −13.0630 + 10.0236i −0.738363 + 0.566566i −0.908015 0.418938i \(-0.862402\pi\)
0.169652 + 0.985504i \(0.445736\pi\)
\(314\) −18.8170 + 26.1563i −1.06190 + 1.47609i
\(315\) 0.453808 + 1.21494i 0.0255692 + 0.0684539i
\(316\) −0.352700 0.405204i −0.0198409 0.0227945i
\(317\) 4.70275 + 1.59637i 0.264133 + 0.0896610i 0.450364 0.892845i \(-0.351294\pi\)
−0.186231 + 0.982506i \(0.559627\pi\)
\(318\) −1.82616 16.3203i −0.102406 0.915199i
\(319\) 12.5553 7.24881i 0.702962 0.405855i
\(320\) −1.35278 + 1.72288i −0.0756226 + 0.0963118i
\(321\) 1.35529 11.6528i 0.0756449 0.650393i
\(322\) −11.4582 + 2.64925i −0.638541 + 0.147637i
\(323\) 20.8469 4.14670i 1.15995 0.230728i
\(324\) 12.8383 12.6166i 0.713239 0.700921i
\(325\) −1.28556 1.92398i −0.0713103 0.106723i
\(326\) 7.14608 3.22186i 0.395785 0.178442i
\(327\) −9.32624 + 16.7325i −0.515742 + 0.925311i
\(328\) 15.8557 0.430640i 0.875484 0.0237781i
\(329\) −0.609263 + 0.794008i −0.0335898 + 0.0437751i
\(330\) −1.70920 + 1.44104i −0.0940883 + 0.0793267i
\(331\) 9.87540 11.2607i 0.542801 0.618946i −0.413792 0.910371i \(-0.635796\pi\)
0.956594 + 0.291425i \(0.0941294\pi\)
\(332\) 12.9336 16.7263i 0.709821 0.917977i
\(333\) 20.2475 18.8691i 1.10955 1.03402i
\(334\) −23.5190 + 8.80211i −1.28690 + 0.481630i
\(335\) −0.572599 + 0.153428i −0.0312844 + 0.00838264i
\(336\) −0.799272 10.9093i −0.0436039 0.595151i
\(337\) 7.45366 + 1.99720i 0.406027 + 0.108795i 0.456051 0.889953i \(-0.349263\pi\)
−0.0500247 + 0.998748i \(0.515930\pi\)
\(338\) 17.9888 1.73802i 0.978463 0.0945357i
\(339\) 5.37311 29.3217i 0.291827 1.59254i
\(340\) 2.44664 + 2.46489i 0.132688 + 0.133677i
\(341\) −3.40692 + 17.1278i −0.184495 + 0.927520i
\(342\) −2.83479 + 13.9340i −0.153288 + 0.753465i
\(343\) 16.7852 6.95265i 0.906314 0.375408i
\(344\) −18.4466 0.706787i −0.994574 0.0381074i
\(345\) 1.28153 + 2.14418i 0.0689955 + 0.115439i
\(346\) −13.8701 16.9650i −0.745663 0.912042i
\(347\) 26.0394 + 12.8412i 1.39787 + 0.689352i 0.976094 0.217350i \(-0.0697411\pi\)
0.421773 + 0.906701i \(0.361408\pi\)
\(348\) 14.7428 3.10764i 0.790299 0.166587i
\(349\) −29.9744 10.1749i −1.60449 0.544652i −0.631479 0.775393i \(-0.717552\pi\)
−0.973015 + 0.230741i \(0.925885\pi\)
\(350\) −0.380213 + 10.9901i −0.0203233 + 0.587447i
\(351\) 0.428039 + 2.40352i 0.0228470 + 0.128291i
\(352\) 17.2464 7.62203i 0.919238 0.406256i
\(353\) −6.35627 + 11.0094i −0.338310 + 0.585971i −0.984115 0.177532i \(-0.943189\pi\)
0.645805 + 0.763503i \(0.276522\pi\)
\(354\) −35.6049 5.39457i −1.89238 0.286718i
\(355\) 0.961691 + 1.09660i 0.0510413 + 0.0582014i
\(356\) −7.61710 + 0.470843i −0.403706 + 0.0249546i
\(357\) −17.3208 0.872604i −0.916716 0.0461831i
\(358\) −1.34948 + 3.56539i −0.0713224 + 0.188437i
\(359\) 6.94747 16.7727i 0.366673 0.885228i −0.627617 0.778522i \(-0.715970\pi\)
0.994291 0.106706i \(-0.0340303\pi\)
\(360\) −2.15363 + 0.871770i −0.113506 + 0.0459463i
\(361\) 2.97233 + 7.17584i 0.156438 + 0.377676i
\(362\) 0.830441 + 26.8947i 0.0436470 + 1.41355i
\(363\) 0.187077 0.0401603i 0.00981900 0.00210787i
\(364\) 1.28207 + 0.746564i 0.0671985 + 0.0391306i
\(365\) 2.49533 + 0.163553i 0.130612 + 0.00856073i
\(366\) 31.8556 + 0.620262i 1.66512 + 0.0324216i
\(367\) −4.27726 + 1.14609i −0.223271 + 0.0598253i −0.368720 0.929540i \(-0.620204\pi\)
0.145449 + 0.989366i \(0.453537\pi\)
\(368\) −5.30157 20.3905i −0.276364 1.06293i
\(369\) 14.8173 + 7.96768i 0.771359 + 0.414781i
\(370\) −3.34579 + 1.25218i −0.173939 + 0.0650975i
\(371\) −4.68166 9.49347i −0.243060 0.492876i
\(372\) −8.89471 + 15.8198i −0.461169 + 0.820221i
\(373\) 1.26941 0.430906i 0.0657275 0.0223115i −0.288382 0.957515i \(-0.593117\pi\)
0.354110 + 0.935204i \(0.384784\pi\)
\(374\) −8.62497 28.6240i −0.445987 1.48011i
\(375\) 4.52771 1.28684i 0.233810 0.0664523i
\(376\) −1.45154 1.05245i −0.0748574 0.0542759i
\(377\) −0.782017 + 1.88796i −0.0402759 + 0.0972347i
\(378\) 5.01922 10.4602i 0.258161 0.538014i
\(379\) −20.9975 + 14.0301i −1.07857 + 0.720675i −0.962149 0.272525i \(-0.912141\pi\)
−0.116418 + 0.993200i \(0.537141\pi\)
\(380\) 1.02536 1.52228i 0.0525996 0.0780914i
\(381\) 14.0751 1.13640i 0.721091 0.0582196i
\(382\) −8.20790 + 26.8780i −0.419953 + 1.37520i
\(383\) −9.53372 16.5129i −0.487150 0.843769i 0.512740 0.858544i \(-0.328630\pi\)
−0.999891 + 0.0147743i \(0.995297\pi\)
\(384\) 19.4975 1.96194i 0.994975 0.100120i
\(385\) −0.720492 + 1.24793i −0.0367197 + 0.0636003i
\(386\) 13.2596 + 14.2099i 0.674895 + 0.723266i
\(387\) −16.6014 10.3810i −0.843899 0.527698i
\(388\) 4.50953 + 0.312396i 0.228937 + 0.0158595i
\(389\) 2.42144 + 36.9441i 0.122772 + 1.87314i 0.405710 + 0.914002i \(0.367024\pi\)
−0.282938 + 0.959138i \(0.591309\pi\)
\(390\) 0.0674819 0.307810i 0.00341708 0.0155866i
\(391\) −33.1177 + 4.36003i −1.67484 + 0.220496i
\(392\) 5.19660 + 11.6412i 0.262468 + 0.587971i
\(393\) −8.49474 + 8.75547i −0.428503 + 0.441655i
\(394\) −4.61894 + 4.91328i −0.232699 + 0.247527i
\(395\) −0.0143483 + 0.0721335i −0.000721939 + 0.00362943i
\(396\) 19.8906 + 2.08389i 0.999538 + 0.104719i
\(397\) 12.7689 19.1099i 0.640850 0.959100i −0.358819 0.933407i \(-0.616821\pi\)
0.999670 0.0256934i \(-0.00817937\pi\)
\(398\) 1.06744 6.39149i 0.0535058 0.320377i
\(399\) 1.33350 + 9.06775i 0.0667586 + 0.453955i
\(400\) −19.6996 0.146348i −0.984978 0.00731741i
\(401\) 3.41284 12.7369i 0.170429 0.636050i −0.826856 0.562413i \(-0.809873\pi\)
0.997285 0.0736362i \(-0.0234604\pi\)
\(402\) 4.54011 + 2.74044i 0.226440 + 0.136681i
\(403\) −1.08871 2.20769i −0.0542325 0.109973i
\(404\) 0.487181 0.278867i 0.0242382 0.0138741i
\(405\) −2.44160 0.333860i −0.121324 0.0165896i
\(406\) 8.25649 5.11298i 0.409763 0.253753i
\(407\) 30.4880 + 4.01382i 1.51123 + 0.198958i
\(408\) 0.720206 31.0605i 0.0356555 1.53773i
\(409\) 16.8252 2.21508i 0.831953 0.109529i 0.297494 0.954724i \(-0.403849\pi\)
0.534458 + 0.845195i \(0.320516\pi\)
\(410\) −1.37450 1.68119i −0.0678816 0.0830279i
\(411\) −0.538276 + 10.6846i −0.0265512 + 0.527031i
\(412\) 2.27054 + 3.42558i 0.111861 + 0.168766i
\(413\) −22.7654 + 4.52832i −1.12021 + 0.222824i
\(414\) 5.87763 21.5596i 0.288870 1.05960i
\(415\) −2.89468 −0.142094
\(416\) −1.27459 + 2.33223i −0.0624918 + 0.114347i
\(417\) 19.7056 8.51347i 0.964987 0.416906i
\(418\) −13.9472 + 7.42167i −0.682181 + 0.363006i
\(419\) −14.0341 + 12.3076i −0.685612 + 0.601266i −0.929625 0.368506i \(-0.879869\pi\)
0.244013 + 0.969772i \(0.421536\pi\)
\(420\) −1.11460 + 1.00018i −0.0543867 + 0.0488037i
\(421\) 1.80606 + 27.5552i 0.0880221 + 1.34296i 0.782143 + 0.623099i \(0.214127\pi\)
−0.694121 + 0.719858i \(0.744207\pi\)
\(422\) −18.9152 + 3.08684i −0.920780 + 0.150265i
\(423\) −0.780513 1.73414i −0.0379499 0.0843167i
\(424\) 16.7732 8.84564i 0.814577 0.429582i
\(425\) −4.07687 + 30.9669i −0.197757 + 1.50211i
\(426\) 1.10668 13.0010i 0.0536190 0.629899i
\(427\) 19.4468 6.60132i 0.941099 0.319460i
\(428\) 13.0975 3.45737i 0.633092 0.167118i
\(429\) −1.75746 + 2.06618i −0.0848511 + 0.0997560i
\(430\) 1.46829 + 2.05705i 0.0708071 + 0.0991998i
\(431\) −6.13472 + 6.13472i −0.295499 + 0.295499i −0.839248 0.543749i \(-0.817004\pi\)
0.543749 + 0.839248i \(0.317004\pi\)
\(432\) 18.9762 + 8.47964i 0.912992 + 0.407977i
\(433\) 9.40906 + 9.40906i 0.452171 + 0.452171i 0.896074 0.443904i \(-0.146407\pi\)
−0.443904 + 0.896074i \(0.646407\pi\)
\(434\) −1.92699 + 11.5383i −0.0924987 + 0.553854i
\(435\) −1.57123 1.33647i −0.0753348 0.0640788i
\(436\) −21.9194 2.96862i −1.04975 0.142171i
\(437\) 5.67437 + 16.7161i 0.271442 + 0.799642i
\(438\) −14.4198 17.1032i −0.689006 0.817221i
\(439\) −14.4933 1.90808i −0.691729 0.0910679i −0.223538 0.974695i \(-0.571761\pi\)
−0.468191 + 0.883627i \(0.655094\pi\)
\(440\) −2.26983 1.22956i −0.108210 0.0586169i
\(441\) −1.35897 + 13.4533i −0.0647130 + 0.640634i
\(442\) 3.42067 + 2.46084i 0.162705 + 0.117050i
\(443\) −29.6395 + 1.94267i −1.40821 + 0.0922992i −0.750451 0.660926i \(-0.770164\pi\)
−0.657763 + 0.753225i \(0.728497\pi\)
\(444\) 28.8219 + 13.8072i 1.36782 + 0.655260i
\(445\) 0.688899 + 0.785539i 0.0326569 + 0.0372381i
\(446\) −3.49690 + 11.4511i −0.165583 + 0.542227i
\(447\) −9.29070 21.5046i −0.439435 1.01713i
\(448\) 11.3897 5.45985i 0.538113 0.257954i
\(449\) 36.7737i 1.73546i 0.497039 + 0.867728i \(0.334421\pi\)
−0.497039 + 0.867728i \(0.665579\pi\)
\(450\) −18.0500 10.5263i −0.850887 0.496213i
\(451\) 3.64672 + 18.3333i 0.171717 + 0.863281i
\(452\) 33.7849 6.58987i 1.58911 0.309961i
\(453\) −29.5342 1.48790i −1.38764 0.0699077i
\(454\) 2.02227 + 0.202969i 0.0949098 + 0.00952581i
\(455\) −0.0265117 0.201376i −0.00124289 0.00944065i
\(456\) −16.1736 + 2.82907i −0.757400 + 0.132483i
\(457\) −3.99187 + 30.3212i −0.186732 + 1.41837i 0.599470 + 0.800398i \(0.295378\pi\)
−0.786201 + 0.617970i \(0.787955\pi\)
\(458\) 22.3435 + 5.25355i 1.04404 + 0.245482i
\(459\) 17.0473 28.2015i 0.795699 1.31633i
\(460\) −1.76440 + 2.28181i −0.0822656 + 0.106390i
\(461\) −6.51107 + 3.21090i −0.303251 + 0.149547i −0.587548 0.809190i \(-0.699907\pi\)
0.284297 + 0.958736i \(0.408240\pi\)
\(462\) 12.5142 3.09336i 0.582212 0.143916i
\(463\) −31.2184 8.36496i −1.45084 0.388753i −0.554527 0.832166i \(-0.687101\pi\)
−0.896317 + 0.443413i \(0.853767\pi\)
\(464\) 9.55788 + 14.5370i 0.443714 + 0.674864i
\(465\) 2.45827 0.361512i 0.113999 0.0167647i
\(466\) −21.7837 + 15.5488i −1.00911 + 0.720286i
\(467\) −18.9260 12.6459i −0.875789 0.585184i 0.0343852 0.999409i \(-0.489053\pi\)
−0.910175 + 0.414225i \(0.864053\pi\)
\(468\) −2.40312 + 1.47373i −0.111084 + 0.0681232i
\(469\) 3.35247 + 0.666848i 0.154803 + 0.0307922i
\(470\) 0.00757572 + 0.245348i 0.000349442 + 0.0113170i
\(471\) −28.3233 27.4798i −1.30507 1.26620i
\(472\) −9.21656 40.5480i −0.424227 1.86637i
\(473\) −2.83958 21.5687i −0.130564 0.991732i
\(474\) 0.554067 0.354811i 0.0254491 0.0162970i
\(475\) 16.4712 1.07958i 0.755749 0.0495344i
\(476\) −6.36659 18.9868i −0.291812 0.870257i
\(477\) 20.1005 + 0.708288i 0.920339 + 0.0324303i
\(478\) 11.9869 + 0.414700i 0.548270 + 0.0189679i
\(479\) 31.0790 + 17.9435i 1.42003 + 0.819858i 0.996301 0.0859292i \(-0.0273859\pi\)
0.423734 + 0.905787i \(0.360719\pi\)
\(480\) −1.84533 1.94737i −0.0842273 0.0888847i
\(481\) −3.75380 + 2.16726i −0.171158 + 0.0988184i
\(482\) 13.4784 7.17219i 0.613923 0.326684i
\(483\) −1.15915 14.3569i −0.0527430 0.653261i
\(484\) 0.122064 + 0.184159i 0.00554837 + 0.00837087i
\(485\) −0.343822 0.514566i −0.0156122 0.0233652i
\(486\) 12.9885 + 17.8129i 0.589172 + 0.808007i
\(487\) 31.8967 + 13.2120i 1.44538 + 0.598694i 0.961095 0.276219i \(-0.0890814\pi\)
0.484281 + 0.874913i \(0.339081\pi\)
\(488\) 12.7675 + 34.5043i 0.577956 + 1.56194i
\(489\) 2.62467 + 9.23479i 0.118691 + 0.417612i
\(490\) 0.825608 1.53773i 0.0372972 0.0694675i
\(491\) −3.51033 10.3411i −0.158419 0.466688i 0.838520 0.544871i \(-0.183421\pi\)
−0.996939 + 0.0781833i \(0.975088\pi\)
\(492\) −2.31594 + 19.2878i −0.104411 + 0.869561i
\(493\) 24.7390 12.1999i 1.11419 0.549456i
\(494\) 0.922838 2.02672i 0.0415204 0.0911867i
\(495\) −1.44007 2.32876i −0.0647261 0.104670i
\(496\) −20.7564 2.88966i −0.931990 0.129749i
\(497\) −2.17672 8.12363i −0.0976393 0.364395i
\(498\) 17.9509 + 18.6638i 0.804398 + 0.836345i
\(499\) −0.0523000 + 0.797945i −0.00234127 + 0.0357209i −0.998870 0.0475322i \(-0.984864\pi\)
0.996528 + 0.0832531i \(0.0265310\pi\)
\(500\) 3.29270 + 4.32430i 0.147254 + 0.193389i
\(501\) −6.45540 30.0709i −0.288406 1.34347i
\(502\) 26.8800 + 25.2698i 1.19971 + 1.12784i
\(503\) 35.9626 14.8962i 1.60349 0.664189i 0.611590 0.791175i \(-0.290530\pi\)
0.991905 + 0.126985i \(0.0405301\pi\)
\(504\) 13.3607 + 0.984045i 0.595134 + 0.0438329i
\(505\) −0.0710023 0.0294101i −0.00315956 0.00130873i
\(506\) 22.6345 10.2049i 1.00623 0.453665i
\(507\) −1.11369 + 22.1063i −0.0494607 + 0.981774i
\(508\) 7.15735 + 14.6506i 0.317556 + 0.650015i
\(509\) 15.8768 13.9235i 0.703725 0.617150i −0.230820 0.972997i \(-0.574141\pi\)
0.934544 + 0.355847i \(0.115807\pi\)
\(510\) −3.42433 + 2.52320i −0.151632 + 0.111729i
\(511\) −12.4874 7.20963i −0.552412 0.318935i
\(512\) 10.3315 + 20.1311i 0.456590 + 0.889677i
\(513\) −16.3751 5.92840i −0.722977 0.261745i
\(514\) 11.7103 10.9272i 0.516521 0.481977i
\(515\) 0.180858 0.532790i 0.00796955 0.0234775i
\(516\) 4.15774 22.2234i 0.183034 0.978329i
\(517\) 0.934526 1.89503i 0.0411004 0.0833434i
\(518\) 20.4961 + 2.05713i 0.900547 + 0.0903852i
\(519\) 23.0371 13.7688i 1.01121 0.604383i
\(520\) 0.359334 0.0572715i 0.0157578 0.00251152i
\(521\) −4.59948 11.1041i −0.201507 0.486480i 0.790531 0.612422i \(-0.209805\pi\)
−0.992038 + 0.125942i \(0.959805\pi\)
\(522\) 1.12668 + 18.4186i 0.0493135 + 0.806158i
\(523\) 30.6359 + 6.09385i 1.33961 + 0.266466i 0.812317 0.583216i \(-0.198206\pi\)
0.527296 + 0.849682i \(0.323206\pi\)
\(524\) −12.9940 5.43891i −0.567644 0.237600i
\(525\) −13.2476 2.42757i −0.578171 0.105948i
\(526\) −10.2404 + 12.4308i −0.446502 + 0.542009i
\(527\) −8.59957 + 32.0940i −0.374603 + 1.39804i
\(528\) 6.14824 + 22.2599i 0.267568 + 0.968736i
\(529\) −1.22741 4.58077i −0.0533658 0.199164i
\(530\) −2.36272 1.07583i −0.102630 0.0467309i
\(531\) 12.9083 42.1734i 0.560171 1.83017i
\(532\) −9.18487 + 5.25750i −0.398215 + 0.227941i
\(533\) −1.98094 1.73724i −0.0858042 0.0752482i
\(534\) 0.792763 9.31313i 0.0343062 0.403019i
\(535\) −1.47132 1.12898i −0.0636106 0.0488102i
\(536\) −1.03113 + 6.03603i −0.0445381 + 0.260717i
\(537\) −4.07830 2.27313i −0.175992 0.0980928i
\(538\) 26.0532 + 9.86101i 1.12323 + 0.425138i
\(539\) −12.4918 + 8.34676i −0.538060 + 0.359520i
\(540\) −0.670798 2.76535i −0.0288666 0.119002i
\(541\) −5.26838 26.4859i −0.226505 1.13872i −0.911858 0.410507i \(-0.865352\pi\)
0.685352 0.728212i \(-0.259648\pi\)
\(542\) 9.97414 15.9735i 0.428426 0.686120i
\(543\) −32.7342 3.80719i −1.40476 0.163382i
\(544\) 33.6918 12.3247i 1.44452 0.528419i
\(545\) 1.51416 + 2.62260i 0.0648593 + 0.112340i
\(546\) −1.13399 + 1.41973i −0.0485302 + 0.0607590i
\(547\) −3.12925 + 9.21847i −0.133797 + 0.394153i −0.993094 0.117324i \(-0.962568\pi\)
0.859297 + 0.511478i \(0.170902\pi\)
\(548\) −11.7122 + 3.92730i −0.500321 + 0.167766i
\(549\) −6.45272 + 38.4852i −0.275395 + 1.64251i
\(550\) −3.73925 22.9130i −0.159442 0.977014i
\(551\) −8.87409 11.5649i −0.378049 0.492683i
\(552\) 25.6539 2.77409i 1.09190 0.118073i
\(553\) 0.258163 0.336445i 0.0109782 0.0143071i
\(554\) 6.57127 12.2392i 0.279186 0.519996i
\(555\) −0.918337 4.27785i −0.0389812 0.181585i
\(556\) 17.4617 + 17.5919i 0.740541 + 0.746063i
\(557\) −6.60920 + 9.89137i −0.280041 + 0.419111i −0.944650 0.328081i \(-0.893598\pi\)
0.664609 + 0.747191i \(0.268598\pi\)
\(558\) −17.5754 13.6081i −0.744026 0.576077i
\(559\) 2.16831 + 2.16831i 0.0917097 + 0.0917097i
\(560\) −1.54518 0.776319i −0.0652956 0.0328055i
\(561\) 36.2244 5.32715i 1.52939 0.224912i
\(562\) −7.61309 + 9.24153i −0.321139 + 0.389830i
\(563\) −34.1514 2.23840i −1.43931 0.0943373i −0.674348 0.738413i \(-0.735575\pi\)
−0.764961 + 0.644076i \(0.777242\pi\)
\(564\) 1.53493 1.57033i 0.0646321 0.0661226i
\(565\) −3.54307 3.10719i −0.149058 0.130721i
\(566\) −1.82504 + 7.76195i −0.0767121 + 0.326259i
\(567\) 11.7752 + 7.95334i 0.494514 + 0.334009i
\(568\) 14.4419 4.29318i 0.605969 0.180138i
\(569\) −16.2477 21.1744i −0.681140 0.887678i 0.317014 0.948421i \(-0.397320\pi\)
−0.998153 + 0.0607425i \(0.980653\pi\)
\(570\) 1.66089 + 1.51476i 0.0695668 + 0.0634464i
\(571\) 37.9626 + 18.7211i 1.58869 + 0.783454i 0.999695 0.0246850i \(-0.00785826\pi\)
0.588992 + 0.808139i \(0.299525\pi\)
\(572\) −2.96217 1.01781i −0.123854 0.0425566i
\(573\) −31.0964 14.7551i −1.29907 0.616401i
\(574\) 2.82067 + 12.1996i 0.117732 + 0.509201i
\(575\) −25.9406 −1.08180
\(576\) −1.11239 + 23.9742i −0.0463494 + 0.998925i
\(577\) −12.7376 −0.530272 −0.265136 0.964211i \(-0.585417\pi\)
−0.265136 + 0.964211i \(0.585417\pi\)
\(578\) −7.39728 31.9938i −0.307686 1.33077i
\(579\) −19.5898 + 13.5221i −0.814124 + 0.561961i
\(580\) 0.773994 2.25259i 0.0321383 0.0935336i
\(581\) 14.9698 + 7.38229i 0.621052 + 0.306269i
\(582\) −1.18557 + 5.40782i −0.0491435 + 0.224161i
\(583\) 13.6041 + 17.7292i 0.563423 + 0.734267i
\(584\) 12.3036 22.7131i 0.509127 0.939876i
\(585\) 0.360865 + 0.136850i 0.0149199 + 0.00565804i
\(586\) 6.62465 28.1748i 0.273662 1.16389i
\(587\) −0.424067 0.371897i −0.0175031 0.0153498i 0.650550 0.759464i \(-0.274539\pi\)
−0.668053 + 0.744114i \(0.732872\pi\)
\(588\) −15.0345 + 4.21275i −0.620014 + 0.173731i
\(589\) 17.5217 + 1.14843i 0.721969 + 0.0473203i
\(590\) −3.61969 + 4.39394i −0.149020 + 0.180896i
\(591\) −5.12626 6.47563i −0.210866 0.266372i
\(592\) −2.68702 + 36.8044i −0.110436 + 1.51265i
\(593\) 19.0014 + 19.0014i 0.780296 + 0.780296i 0.979881 0.199585i \(-0.0639594\pi\)
−0.199585 + 0.979881i \(0.563959\pi\)
\(594\) −6.08466 + 23.7264i −0.249657 + 0.973506i
\(595\) −1.52318 + 2.27960i −0.0624444 + 0.0934547i
\(596\) 19.1979 19.0558i 0.786378 0.780558i
\(597\) 7.55288 + 2.43719i 0.309119 + 0.0997477i
\(598\) −1.65548 + 3.08341i −0.0676978 + 0.126090i
\(599\) 20.1019 26.1973i 0.821340 1.07039i −0.174971 0.984574i \(-0.555983\pi\)
0.996311 0.0858173i \(-0.0273501\pi\)
\(600\) 3.70295 23.8418i 0.151172 0.973336i
\(601\) −24.0979 31.4050i −0.982974 1.28104i −0.959617 0.281309i \(-0.909231\pi\)
−0.0233563 0.999727i \(-0.507435\pi\)
\(602\) −2.34714 14.3826i −0.0956622 0.586189i
\(603\) −4.13286 + 5.01034i −0.168303 + 0.204037i
\(604\) −10.8558 32.3748i −0.441718 1.31731i
\(605\) 0.00972292 0.0286428i 0.000395293 0.00116450i
\(606\) 0.250683 + 0.640177i 0.0101833 + 0.0260054i
\(607\) −13.8347 23.9624i −0.561534 0.972606i −0.997363 0.0725761i \(-0.976878\pi\)
0.435829 0.900030i \(-0.356455\pi\)
\(608\) −9.86184 16.1925i −0.399950 0.656694i
\(609\) 4.71721 + 10.9186i 0.191151 + 0.442445i
\(610\) 2.66776 4.27239i 0.108014 0.172984i
\(611\) 0.0581034 + 0.292105i 0.00235061 + 0.0118173i
\(612\) 37.5040 + 6.43152i 1.51601 + 0.259979i
\(613\) −32.4754 + 21.6994i −1.31167 + 0.876430i −0.997340 0.0728833i \(-0.976780\pi\)
−0.314330 + 0.949314i \(0.601780\pi\)
\(614\) −13.9670 5.28645i −0.563663 0.213344i
\(615\) 2.28292 1.36445i 0.0920561 0.0550201i
\(616\) 8.60265 + 12.1474i 0.346611 + 0.489431i
\(617\) −19.0458 14.6144i −0.766757 0.588353i 0.149586 0.988749i \(-0.452206\pi\)
−0.916342 + 0.400396i \(0.868873\pi\)
\(618\) −4.55678 + 2.13790i −0.183301 + 0.0859990i
\(619\) −22.4298 19.6704i −0.901531 0.790621i 0.0769339 0.997036i \(-0.475487\pi\)
−0.978465 + 0.206415i \(0.933820\pi\)
\(620\) 1.42531 + 2.49002i 0.0572417 + 0.100002i
\(621\) 25.0696 + 10.9798i 1.00601 + 0.440606i
\(622\) −17.9083 8.15425i −0.718056 0.326956i
\(623\) −1.55927 5.81929i −0.0624710 0.233145i
\(624\) −2.59761 1.96169i −0.103988 0.0785303i
\(625\) −6.18086 + 23.0673i −0.247234 + 0.922692i
\(626\) 14.8057 17.9727i 0.591756 0.718332i
\(627\) −6.49595 18.2267i −0.259423 0.727904i
\(628\) 17.5945 42.0345i 0.702095 1.67736i
\(629\) 57.3836 + 11.4143i 2.28804 + 0.455119i
\(630\) −1.01233 1.52944i −0.0403324 0.0609345i
\(631\) 5.76900 + 13.9276i 0.229660 + 0.554449i 0.996136 0.0878245i \(-0.0279915\pi\)
−0.766476 + 0.642273i \(0.777991\pi\)
\(632\) 0.615061 + 0.445954i 0.0244658 + 0.0177391i
\(633\) −0.354744 23.4701i −0.0140998 0.932854i
\(634\) −6.98832 0.701396i −0.277542 0.0278560i
\(635\) 0.987332 2.00211i 0.0391811 0.0794513i
\(636\) 7.71546 + 21.9054i 0.305938 + 0.868607i
\(637\) 0.680703 2.00529i 0.0269704 0.0794524i
\(638\) −14.9902 + 13.9877i −0.593468 + 0.553778i
\(639\) 15.5539 + 3.66764i 0.615302 + 0.145090i
\(640\) 1.31508 2.80485i 0.0519830 0.110872i
\(641\) −20.4548 11.8096i −0.807917 0.466451i 0.0383150 0.999266i \(-0.487801\pi\)
−0.846232 + 0.532815i \(0.821134\pi\)
\(642\) 1.84488 + 16.4877i 0.0728117 + 0.650717i
\(643\) −3.88441 + 3.40654i −0.153186 + 0.134341i −0.732509 0.680758i \(-0.761651\pi\)
0.579322 + 0.815099i \(0.303317\pi\)
\(644\) 14.9439 7.30062i 0.588871 0.287685i
\(645\) −2.75510 + 1.41082i −0.108482 + 0.0555511i
\(646\) −27.4031 + 12.3549i −1.07816 + 0.486097i
\(647\) −36.6526 15.1820i −1.44096 0.596866i −0.480931 0.876758i \(-0.659701\pi\)
−0.960032 + 0.279892i \(0.909701\pi\)
\(648\) −13.6701 + 21.4739i −0.537012 + 0.843575i
\(649\) 45.2735 18.7529i 1.77714 0.736116i
\(650\) 2.38427 + 2.24144i 0.0935186 + 0.0879164i
\(651\) −13.6349 4.39975i −0.534392 0.172440i
\(652\) −8.81991 + 6.71586i −0.345414 + 0.263013i
\(653\) 1.13359 17.2953i 0.0443609 0.676816i −0.916543 0.399935i \(-0.869033\pi\)
0.960904 0.276881i \(-0.0893008\pi\)
\(654\) 7.51971 26.0263i 0.294044 1.01771i
\(655\) 0.499136 + 1.86280i 0.0195029 + 0.0727857i
\(656\) −21.7098 + 5.64461i −0.847625 + 0.220385i
\(657\) 23.3029 14.4101i 0.909132 0.562190i
\(658\) 0.586531 1.28813i 0.0228653 0.0502166i
\(659\) −20.8592 + 10.2866i −0.812561 + 0.400711i −0.800586 0.599218i \(-0.795478\pi\)
−0.0119746 + 0.999928i \(0.503812\pi\)
\(660\) 1.89596 2.53007i 0.0738002 0.0984827i
\(661\) 1.75269 + 5.16324i 0.0681716 + 0.200827i 0.975677 0.219214i \(-0.0703492\pi\)
−0.907505 + 0.420041i \(0.862016\pi\)
\(662\) −10.0196 + 18.6618i −0.389421 + 0.725313i
\(663\) −3.59375 + 3.70406i −0.139570 + 0.143854i
\(664\) −12.4921 + 27.1669i −0.484787 + 1.05428i
\(665\) 1.33861 + 0.554471i 0.0519092 + 0.0215015i
\(666\) −21.8870 + 32.4494i −0.848105 + 1.25739i
\(667\) 12.7274 + 19.0480i 0.492808 + 0.737540i
\(668\) 29.6019 19.6207i 1.14533 0.759148i
\(669\) −13.2483 6.28625i −0.512210 0.243040i
\(670\) 0.740086 0.393819i 0.0285920 0.0152145i
\(671\) −37.5482 + 21.6785i −1.44953 + 0.836889i
\(672\) 4.57673 + 14.7769i 0.176551 + 0.570031i
\(673\) −30.7149 17.7332i −1.18397 0.683566i −0.227041 0.973885i \(-0.572905\pi\)
−0.956930 + 0.290319i \(0.906239\pi\)
\(674\) −10.9064 0.377317i −0.420098 0.0145337i
\(675\) 15.9840 19.9855i 0.615225 0.769242i
\(676\) −24.2325 + 8.12556i −0.932018 + 0.312522i
\(677\) −39.9127 + 2.61601i −1.53397 + 0.100542i −0.808822 0.588053i \(-0.799895\pi\)
−0.725146 + 0.688595i \(0.758228\pi\)
\(678\) 1.93778 + 42.1131i 0.0744199 + 1.61734i
\(679\) 0.465776 + 3.53792i 0.0178748 + 0.135773i
\(680\) −4.15639 2.61684i −0.159390 0.100351i
\(681\) −0.607843 + 2.41385i −0.0232926 + 0.0924990i
\(682\) −0.762214 24.6851i −0.0291867 0.945241i
\(683\) −12.9353 2.57300i −0.494957 0.0984531i −0.0587010 0.998276i \(-0.518696\pi\)
−0.436256 + 0.899823i \(0.643696\pi\)
\(684\) −0.533090 20.1023i −0.0203832 0.768629i
\(685\) 1.40620 + 0.939594i 0.0537282 + 0.0359000i
\(686\) −20.9127 + 14.9272i −0.798452 + 0.569921i
\(687\) −10.3640 + 26.1311i −0.395412 + 0.996964i
\(688\) 25.6421 4.90279i 0.977595 0.186917i
\(689\) −3.04260 0.815263i −0.115914 0.0310591i
\(690\) −2.44886 2.54612i −0.0932267 0.0969292i
\(691\) −1.06584 + 0.525614i −0.0405465 + 0.0199953i −0.462449 0.886646i \(-0.653029\pi\)
0.421902 + 0.906641i \(0.361362\pi\)
\(692\) 24.5158 + 18.9567i 0.931951 + 0.720626i
\(693\) 1.50824 + 15.7158i 0.0572933 + 0.596992i
\(694\) −39.9696 9.39791i −1.51723 0.356740i
\(695\) 0.442938 3.36445i 0.0168016 0.127621i
\(696\) −19.3236 + 8.97862i −0.732459 + 0.340334i
\(697\) 4.64214 + 35.2606i 0.175834 + 1.33559i
\(698\) 44.5422 + 4.47056i 1.68595 + 0.169213i
\(699\) −14.9403 29.1759i −0.565094 1.10353i
\(700\) −2.97730 15.2640i −0.112532 0.576926i
\(701\) 9.01796 + 45.3364i 0.340604 + 1.71233i 0.648758 + 0.760995i \(0.275289\pi\)
−0.308154 + 0.951336i \(0.599711\pi\)
\(702\) −1.35548 3.17536i −0.0511594 0.119846i
\(703\) 30.9201i 1.16617i
\(704\) −21.3351 + 15.9964i −0.804095 + 0.602888i
\(705\) −0.298618 0.0347312i −0.0112466 0.00130805i
\(706\) 5.25076 17.1944i 0.197615 0.647120i
\(707\) 0.292183 + 0.333170i 0.0109887 + 0.0125302i
\(708\) 50.7773 3.90988i 1.90833 0.146942i
\(709\) 51.1771 3.35432i 1.92200 0.125974i 0.943386 0.331697i \(-0.107621\pi\)
0.978610 + 0.205723i \(0.0659545\pi\)
\(710\) −1.67443 1.20459i −0.0628402 0.0452075i
\(711\) 0.330727 + 0.734807i 0.0124032 + 0.0275574i
\(712\) 10.3453 3.07538i 0.387708 0.115255i
\(713\) −27.3590 3.60188i −1.02460 0.134892i
\(714\) 24.1438 4.31567i 0.903557 0.161510i
\(715\) 0.137837 + 0.406055i 0.00515481 + 0.0151856i
\(716\) 0.723557 5.34254i 0.0270406 0.199660i
\(717\) −2.64776 + 14.4491i −0.0988824 + 0.539613i
\(718\) −4.22930 + 25.3238i −0.157836 + 0.945074i
\(719\) 0.863696 + 0.863696i 0.0322104 + 0.0322104i 0.723029 0.690818i \(-0.242749\pi\)
−0.690818 + 0.723029i \(0.742749\pi\)
\(720\) 2.68968 1.88727i 0.100239 0.0703346i
\(721\) −2.29407 + 2.29407i −0.0854358 + 0.0854358i
\(722\) −6.38152 8.94042i −0.237495 0.332728i
\(723\) 6.27758 + 17.6140i 0.233466 + 0.655071i
\(724\) −9.71223 36.7927i −0.360952 1.36739i
\(725\) 20.2842 6.88554i 0.753335 0.255723i
\(726\) −0.244973 + 0.114934i −0.00909179 + 0.00426559i
\(727\) 3.13695 23.8275i 0.116343 0.883713i −0.829368 0.558703i \(-0.811299\pi\)
0.945711 0.325010i \(-0.105368\pi\)
\(728\) −2.00435 0.620228i −0.0742861 0.0229872i
\(729\) −23.9066 + 12.5489i −0.885429 + 0.464775i
\(730\) −3.49033 + 0.569599i −0.129183 + 0.0210818i
\(731\) −2.70713 41.3028i −0.100127 1.52764i
\(732\) −44.0903 + 9.29379i −1.62962 + 0.343509i
\(733\) 33.5910 29.4585i 1.24071 1.08807i 0.247849 0.968799i \(-0.420276\pi\)
0.992861 0.119275i \(-0.0380571\pi\)
\(734\) 5.52837 2.94179i 0.204056 0.108583i
\(735\) 1.71535 + 1.27551i 0.0632716 + 0.0470480i
\(736\) 13.8008 + 26.4063i 0.508703 + 0.973350i
\(737\) −7.21637 −0.265818
\(738\) −22.9546 6.25793i −0.844970 0.230358i
\(739\) 20.4757 4.07288i 0.753212 0.149823i 0.196471 0.980510i \(-0.437052\pi\)
0.556741 + 0.830686i \(0.312052\pi\)
\(740\) 4.21113 2.79122i 0.154804 0.102607i
\(741\) 2.29041 + 1.48083i 0.0841405 + 0.0543997i
\(742\) 9.47508 + 11.5892i 0.347841 + 0.425454i
\(743\) −13.4492 + 1.77062i −0.493404 + 0.0649579i −0.373123 0.927782i \(-0.621713\pi\)
−0.120281 + 0.992740i \(0.538380\pi\)
\(744\) 7.21588 24.6312i 0.264547 0.903025i
\(745\) −3.67160 0.483375i −0.134517 0.0177095i
\(746\) −1.61180 + 0.998133i −0.0590121 + 0.0365443i
\(747\) −25.8257 + 18.4090i −0.944912 + 0.673549i
\(748\) 21.0029 + 36.6923i 0.767944 + 1.34160i
\(749\) 4.72966 + 9.59080i 0.172818 + 0.350440i
\(750\) −5.82861 + 3.21551i −0.212831 + 0.117414i
\(751\) 4.02403 15.0179i 0.146839 0.548011i −0.852828 0.522193i \(-0.825114\pi\)
0.999667 0.0258182i \(-0.00821909\pi\)
\(752\) 2.33531 + 0.987705i 0.0851599 + 0.0360179i
\(753\) −35.4275 + 28.0452i −1.29105 + 1.02202i
\(754\) 0.476056 2.85048i 0.0173369 0.103808i
\(755\) −2.59722 + 3.88702i −0.0945225 + 0.141463i
\(756\) −3.58344 + 16.0117i −0.130329 + 0.582340i
\(757\) −5.88729 + 29.5974i −0.213977 + 1.07574i 0.713156 + 0.701005i \(0.247265\pi\)
−0.927133 + 0.374731i \(0.877735\pi\)
\(758\) 24.4620 26.0208i 0.888500 0.945118i
\(759\) 8.31337 + 29.2503i 0.301756 + 1.06172i
\(760\) −0.927838 + 2.42415i −0.0336562 + 0.0879332i
\(761\) −23.6954 + 3.11956i −0.858957 + 0.113084i −0.547122 0.837053i \(-0.684277\pi\)
−0.311835 + 0.950136i \(0.600943\pi\)
\(762\) −19.0316 + 6.04980i −0.689442 + 0.219161i
\(763\) −1.14205 17.4243i −0.0413448 0.630800i
\(764\) 2.74668 39.6491i 0.0993715 1.43445i
\(765\) −2.44426 4.60049i −0.0883723 0.166331i
\(766\) 18.3968 + 19.7153i 0.664703 + 0.712343i
\(767\) −3.45365 + 5.98191i −0.124704 + 0.215994i
\(768\) −26.2398 + 8.91470i −0.946848 + 0.321682i
\(769\) −14.0665 24.3640i −0.507253 0.878587i −0.999965 0.00839491i \(-0.997328\pi\)
0.492712 0.870192i \(-0.336006\pi\)
\(770\) 0.595180 1.94901i 0.0214488