Properties

Label 392.2.z.a.37.13
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.13
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07880 - 0.914431i) q^{2} +(-1.29408 - 1.39469i) q^{3} +(0.327631 + 1.97298i) q^{4} +(0.498626 - 1.61651i) q^{5} +(0.120712 + 2.68794i) q^{6} +(-0.699420 + 2.55163i) q^{7} +(1.45071 - 2.42805i) q^{8} +(-0.0463173 + 0.618061i) q^{9} +O(q^{10})\) \(q+(-1.07880 - 0.914431i) q^{2} +(-1.29408 - 1.39469i) q^{3} +(0.327631 + 1.97298i) q^{4} +(0.498626 - 1.61651i) q^{5} +(0.120712 + 2.68794i) q^{6} +(-0.699420 + 2.55163i) q^{7} +(1.45071 - 2.42805i) q^{8} +(-0.0463173 + 0.618061i) q^{9} +(-2.01610 + 1.28793i) q^{10} +(-4.99468 + 0.374300i) q^{11} +(2.32771 - 3.01014i) q^{12} +(-1.38151 + 2.86872i) q^{13} +(3.08783 - 2.11313i) q^{14} +(-2.89978 + 1.39646i) q^{15} +(-3.78532 + 1.29282i) q^{16} +(-3.14953 - 0.474715i) q^{17} +(0.615141 - 0.624412i) q^{18} +(3.05104 + 1.76152i) q^{19} +(3.35270 + 0.454162i) q^{20} +(4.46383 - 2.32654i) q^{21} +(5.73055 + 4.16350i) q^{22} +(-2.84715 + 0.429139i) q^{23} +(-5.26371 + 1.11882i) q^{24} +(1.76673 + 1.20454i) q^{25} +(4.11362 - 1.83150i) q^{26} +(-3.54054 + 2.82349i) q^{27} +(-5.26347 - 0.543950i) q^{28} +(-1.41871 - 1.13138i) q^{29} +(4.40526 + 1.14514i) q^{30} +(3.95266 + 6.84621i) q^{31} +(5.26581 + 2.06671i) q^{32} +(6.98555 + 6.48164i) q^{33} +(2.96363 + 3.39215i) q^{34} +(3.77598 + 2.40293i) q^{35} +(-1.23460 + 0.111113i) q^{36} +(6.09982 - 2.39400i) q^{37} +(-1.68068 - 4.69029i) q^{38} +(5.78875 - 1.78559i) q^{39} +(-3.20161 - 3.55577i) q^{40} +(1.05703 + 4.63117i) q^{41} +(-6.94305 - 1.57199i) q^{42} +(-7.99470 - 1.82474i) q^{43} +(-2.37490 - 9.73178i) q^{44} +(0.976004 + 0.383053i) q^{45} +(3.46393 + 2.14057i) q^{46} +(0.119265 - 0.0813136i) q^{47} +(6.70158 + 3.60631i) q^{48} +(-6.02162 - 3.56932i) q^{49} +(-0.804488 - 2.91501i) q^{50} +(3.41366 + 5.00693i) q^{51} +(-6.11257 - 1.78580i) q^{52} +(-2.40854 - 0.945283i) q^{53} +(6.40143 + 0.191595i) q^{54} +(-1.88542 + 8.26057i) q^{55} +(5.18084 + 5.39990i) q^{56} +(-1.49152 - 6.53479i) q^{57} +(0.495936 + 2.51785i) q^{58} +(2.99047 + 9.69487i) q^{59} +(-3.70525 - 5.26369i) q^{60} +(-1.43498 + 0.563190i) q^{61} +(1.99624 - 11.0001i) q^{62} +(-1.54467 - 0.550469i) q^{63} +(-3.79090 - 7.04479i) q^{64} +(3.94846 + 3.66363i) q^{65} +(-1.60901 - 13.3802i) q^{66} +(-12.5465 + 7.24371i) q^{67} +(-0.0952803 - 6.36950i) q^{68} +(4.28296 + 3.41554i) q^{69} +(-1.87622 - 6.04515i) q^{70} +(-5.19070 - 6.50894i) q^{71} +(1.43349 + 1.00909i) q^{72} +(-10.6350 - 7.25085i) q^{73} +(-8.76965 - 2.99521i) q^{74} +(-0.606339 - 4.02280i) q^{75} +(-2.47583 + 6.59677i) q^{76} +(2.53831 - 13.0064i) q^{77} +(-7.87772 - 3.36711i) q^{78} +(4.51367 - 7.81791i) q^{79} +(0.202397 + 6.76362i) q^{80} +(10.3582 + 1.56125i) q^{81} +(3.09455 - 5.96271i) q^{82} +(-2.82686 - 5.87004i) q^{83} +(6.05271 + 8.04481i) q^{84} +(-2.33782 + 4.85453i) q^{85} +(6.95611 + 9.27913i) q^{86} +(0.257999 + 3.44275i) q^{87} +(-6.33700 + 12.6704i) q^{88} +(-0.882993 + 11.7827i) q^{89} +(-0.702640 - 1.30573i) q^{90} +(-6.35367 - 5.53153i) q^{91} +(-1.77950 - 5.47678i) q^{92} +(4.43325 - 14.3723i) q^{93} +(-0.203019 - 0.0213384i) q^{94} +(4.36883 - 4.05368i) q^{95} +(-3.93196 - 10.0186i) q^{96} +0.897390 q^{97} +(3.23224 + 9.35695i) q^{98} -3.10435i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07880 0.914431i −0.762829 0.646600i
\(3\) −1.29408 1.39469i −0.747137 0.805223i 0.239023 0.971014i \(-0.423173\pi\)
−0.986161 + 0.165791i \(0.946982\pi\)
\(4\) 0.327631 + 1.97298i 0.163816 + 0.986491i
\(5\) 0.498626 1.61651i 0.222992 0.722924i −0.773074 0.634316i \(-0.781282\pi\)
0.996067 0.0886080i \(-0.0282418\pi\)
\(6\) 0.120712 + 2.68794i 0.0492807 + 1.09735i
\(7\) −0.699420 + 2.55163i −0.264356 + 0.964425i
\(8\) 1.45071 2.42805i 0.512902 0.858447i
\(9\) −0.0463173 + 0.618061i −0.0154391 + 0.206020i
\(10\) −2.01610 + 1.28793i −0.637548 + 0.407280i
\(11\) −4.99468 + 0.374300i −1.50595 + 0.112856i −0.801971 0.597363i \(-0.796215\pi\)
−0.703982 + 0.710218i \(0.748596\pi\)
\(12\) 2.32771 3.01014i 0.671952 0.868952i
\(13\) −1.38151 + 2.86872i −0.383161 + 0.795641i 0.616803 + 0.787117i \(0.288427\pi\)
−0.999964 + 0.00852366i \(0.997287\pi\)
\(14\) 3.08783 2.11313i 0.825256 0.564759i
\(15\) −2.89978 + 1.39646i −0.748721 + 0.360565i
\(16\) −3.78532 + 1.29282i −0.946329 + 0.323205i
\(17\) −3.14953 0.474715i −0.763873 0.115135i −0.244461 0.969659i \(-0.578611\pi\)
−0.519412 + 0.854524i \(0.673849\pi\)
\(18\) 0.615141 0.624412i 0.144990 0.147175i
\(19\) 3.05104 + 1.76152i 0.699956 + 0.404120i 0.807331 0.590099i \(-0.200911\pi\)
−0.107375 + 0.994219i \(0.534245\pi\)
\(20\) 3.35270 + 0.454162i 0.749687 + 0.101554i
\(21\) 4.46383 2.32654i 0.974087 0.507693i
\(22\) 5.73055 + 4.16350i 1.22176 + 0.887660i
\(23\) −2.84715 + 0.429139i −0.593672 + 0.0894817i −0.439004 0.898485i \(-0.644669\pi\)
−0.154668 + 0.987967i \(0.549431\pi\)
\(24\) −5.26371 + 1.11882i −1.07445 + 0.228378i
\(25\) 1.76673 + 1.20454i 0.353346 + 0.240907i
\(26\) 4.11362 1.83150i 0.806748 0.359186i
\(27\) −3.54054 + 2.82349i −0.681377 + 0.543380i
\(28\) −5.26347 0.543950i −0.994702 0.102797i
\(29\) −1.41871 1.13138i −0.263447 0.210092i 0.482853 0.875701i \(-0.339600\pi\)
−0.746301 + 0.665609i \(0.768172\pi\)
\(30\) 4.40526 + 1.14514i 0.804287 + 0.209074i
\(31\) 3.95266 + 6.84621i 0.709918 + 1.22961i 0.964887 + 0.262665i \(0.0846016\pi\)
−0.254968 + 0.966949i \(0.582065\pi\)
\(32\) 5.26581 + 2.06671i 0.930872 + 0.365346i
\(33\) 6.98555 + 6.48164i 1.21603 + 1.12831i
\(34\) 2.96363 + 3.39215i 0.508258 + 0.581749i
\(35\) 3.77598 + 2.40293i 0.638256 + 0.406169i
\(36\) −1.23460 + 0.111113i −0.205766 + 0.0185188i
\(37\) 6.09982 2.39400i 1.00280 0.393572i 0.193588 0.981083i \(-0.437987\pi\)
0.809216 + 0.587511i \(0.199892\pi\)
\(38\) −1.68068 4.69029i −0.272643 0.760866i
\(39\) 5.78875 1.78559i 0.926942 0.285924i
\(40\) −3.20161 3.55577i −0.506218 0.562216i
\(41\) 1.05703 + 4.63117i 0.165081 + 0.723267i 0.987916 + 0.154988i \(0.0495337\pi\)
−0.822835 + 0.568280i \(0.807609\pi\)
\(42\) −6.94305 1.57199i −1.07134 0.242563i
\(43\) −7.99470 1.82474i −1.21918 0.278270i −0.435932 0.899979i \(-0.643581\pi\)
−0.783248 + 0.621710i \(0.786438\pi\)
\(44\) −2.37490 9.73178i −0.358030 1.46712i
\(45\) 0.976004 + 0.383053i 0.145494 + 0.0571022i
\(46\) 3.46393 + 2.14057i 0.510729 + 0.315609i
\(47\) 0.119265 0.0813136i 0.0173966 0.0118608i −0.554591 0.832123i \(-0.687125\pi\)
0.571987 + 0.820263i \(0.306173\pi\)
\(48\) 6.70158 + 3.60631i 0.967290 + 0.520527i
\(49\) −6.02162 3.56932i −0.860232 0.509903i
\(50\) −0.804488 2.91501i −0.113772 0.412244i
\(51\) 3.41366 + 5.00693i 0.478009 + 0.701110i
\(52\) −6.11257 1.78580i −0.847661 0.247646i
\(53\) −2.40854 0.945283i −0.330839 0.129845i 0.194107 0.980980i \(-0.437819\pi\)
−0.524946 + 0.851136i \(0.675914\pi\)
\(54\) 6.40143 + 0.191595i 0.871124 + 0.0260727i
\(55\) −1.88542 + 8.26057i −0.254230 + 1.11385i
\(56\) 5.18084 + 5.39990i 0.692319 + 0.721591i
\(57\) −1.49152 6.53479i −0.197557 0.865553i
\(58\) 0.495936 + 2.51785i 0.0651195 + 0.330610i
\(59\) 2.99047 + 9.69487i 0.389326 + 1.26216i 0.912197 + 0.409752i \(0.134385\pi\)
−0.522871 + 0.852412i \(0.675139\pi\)
\(60\) −3.70525 5.26369i −0.478346 0.679540i
\(61\) −1.43498 + 0.563190i −0.183731 + 0.0721091i −0.455423 0.890275i \(-0.650512\pi\)
0.271692 + 0.962384i \(0.412417\pi\)
\(62\) 1.99624 11.0001i 0.253523 1.39702i
\(63\) −1.54467 0.550469i −0.194610 0.0693525i
\(64\) −3.79090 7.04479i −0.473863 0.880599i
\(65\) 3.94846 + 3.66363i 0.489746 + 0.454418i
\(66\) −1.60901 13.3802i −0.198056 1.64699i
\(67\) −12.5465 + 7.24371i −1.53280 + 0.884960i −0.533565 + 0.845759i \(0.679148\pi\)
−0.999231 + 0.0392014i \(0.987519\pi\)
\(68\) −0.0952803 6.36950i −0.0115544 0.772415i
\(69\) 4.28296 + 3.41554i 0.515607 + 0.411183i
\(70\) −1.87622 6.04515i −0.224252 0.722534i
\(71\) −5.19070 6.50894i −0.616023 0.772469i 0.371756 0.928331i \(-0.378756\pi\)
−0.987779 + 0.155862i \(0.950185\pi\)
\(72\) 1.43349 + 1.00909i 0.168939 + 0.118922i
\(73\) −10.6350 7.25085i −1.24474 0.848647i −0.251857 0.967764i \(-0.581041\pi\)
−0.992880 + 0.119117i \(0.961994\pi\)
\(74\) −8.76965 2.99521i −1.01945 0.348186i
\(75\) −0.606339 4.02280i −0.0700140 0.464513i
\(76\) −2.47583 + 6.59677i −0.283997 + 0.756701i
\(77\) 2.53831 13.0064i 0.289267 1.48221i
\(78\) −7.87772 3.36711i −0.891976 0.381250i
\(79\) 4.51367 7.81791i 0.507828 0.879584i −0.492131 0.870521i \(-0.663782\pi\)
0.999959 0.00906270i \(-0.00288479\pi\)
\(80\) 0.202397 + 6.76362i 0.0226287 + 0.756196i
\(81\) 10.3582 + 1.56125i 1.15092 + 0.173473i
\(82\) 3.09455 5.96271i 0.341736 0.658471i
\(83\) −2.82686 5.87004i −0.310288 0.644321i 0.686258 0.727358i \(-0.259252\pi\)
−0.996546 + 0.0830376i \(0.973538\pi\)
\(84\) 6.05271 + 8.04481i 0.660405 + 0.877760i
\(85\) −2.33782 + 4.85453i −0.253572 + 0.526548i
\(86\) 6.95611 + 9.27913i 0.750096 + 1.00059i
\(87\) 0.257999 + 3.44275i 0.0276604 + 0.369102i
\(88\) −6.33700 + 12.6704i −0.675526 + 1.35066i
\(89\) −0.882993 + 11.7827i −0.0935971 + 1.24897i 0.730656 + 0.682746i \(0.239214\pi\)
−0.824253 + 0.566221i \(0.808405\pi\)
\(90\) −0.702640 1.30573i −0.0740648 0.137636i
\(91\) −6.35367 5.53153i −0.666046 0.579862i
\(92\) −1.77950 5.47678i −0.185526 0.570994i
\(93\) 4.43325 14.3723i 0.459707 1.49033i
\(94\) −0.203019 0.0213384i −0.0209398 0.00220089i
\(95\) 4.36883 4.05368i 0.448233 0.415899i
\(96\) −3.93196 10.0186i −0.401304 1.02252i
\(97\) 0.897390 0.0911161 0.0455581 0.998962i \(-0.485493\pi\)
0.0455581 + 0.998962i \(0.485493\pi\)
\(98\) 3.23224 + 9.35695i 0.326506 + 0.945195i
\(99\) 3.10435i 0.311999i
\(100\) −1.79769 + 3.88037i −0.179769 + 0.388037i
\(101\) −0.512329 0.552160i −0.0509787 0.0549419i 0.707048 0.707166i \(-0.250027\pi\)
−0.758026 + 0.652224i \(0.773836\pi\)
\(102\) 0.895818 8.52305i 0.0886992 0.843908i
\(103\) −10.7000 3.30051i −1.05430 0.325209i −0.281304 0.959619i \(-0.590767\pi\)
−0.772996 + 0.634410i \(0.781243\pi\)
\(104\) 4.96126 + 7.51605i 0.486492 + 0.737009i
\(105\) −1.53509 8.37588i −0.149809 0.817402i
\(106\) 1.73395 + 3.22222i 0.168416 + 0.312970i
\(107\) −4.82859 0.361853i −0.466797 0.0349816i −0.160744 0.986996i \(-0.551389\pi\)
−0.306053 + 0.952015i \(0.599008\pi\)
\(108\) −6.73068 6.06036i −0.647660 0.583158i
\(109\) −9.17001 + 0.687197i −0.878327 + 0.0658215i −0.506257 0.862383i \(-0.668971\pi\)
−0.372071 + 0.928204i \(0.621352\pi\)
\(110\) 9.58772 7.18744i 0.914153 0.685295i
\(111\) −11.2325 5.40930i −1.06615 0.513428i
\(112\) −0.651275 10.5629i −0.0615397 0.998105i
\(113\) −5.92515 + 2.85340i −0.557391 + 0.268425i −0.691300 0.722568i \(-0.742961\pi\)
0.133908 + 0.990994i \(0.457247\pi\)
\(114\) −4.36655 + 8.41364i −0.408965 + 0.788010i
\(115\) −0.725958 + 4.81642i −0.0676960 + 0.449133i
\(116\) 1.76738 3.16976i 0.164097 0.294305i
\(117\) −1.70906 0.986726i −0.158003 0.0912228i
\(118\) 5.63916 13.1934i 0.519127 1.21455i
\(119\) 3.41414 7.70441i 0.312974 0.706262i
\(120\) −0.816047 + 9.06669i −0.0744946 + 0.827671i
\(121\) 13.9296 2.09955i 1.26633 0.190868i
\(122\) 2.06306 + 0.704623i 0.186781 + 0.0637936i
\(123\) 5.09114 7.46734i 0.459053 0.673307i
\(124\) −12.2124 + 10.0416i −1.09671 + 0.901758i
\(125\) 9.44105 7.52899i 0.844433 0.673413i
\(126\) 1.16303 + 2.00634i 0.103611 + 0.178739i
\(127\) 12.7830 16.0294i 1.13431 1.42238i 0.242397 0.970177i \(-0.422066\pi\)
0.891914 0.452205i \(-0.149362\pi\)
\(128\) −2.35234 + 11.0665i −0.207919 + 0.978146i
\(129\) 7.80084 + 13.5115i 0.686826 + 1.18962i
\(130\) −0.909467 7.56293i −0.0797656 0.663313i
\(131\) 1.75258 1.88884i 0.153124 0.165028i −0.651831 0.758364i \(-0.725999\pi\)
0.804955 + 0.593336i \(0.202189\pi\)
\(132\) −10.4995 + 15.9059i −0.913862 + 1.38444i
\(133\) −6.62870 + 6.55307i −0.574781 + 0.568224i
\(134\) 20.1591 + 3.65835i 1.74148 + 0.316034i
\(135\) 2.79878 + 7.13117i 0.240881 + 0.613754i
\(136\) −5.72168 + 6.95856i −0.490630 + 0.596692i
\(137\) −15.1561 + 4.67505i −1.29488 + 0.399416i −0.864226 0.503103i \(-0.832192\pi\)
−0.430649 + 0.902519i \(0.641715\pi\)
\(138\) −1.49719 7.60117i −0.127449 0.647054i
\(139\) −11.0046 + 2.51173i −0.933400 + 0.213042i −0.662068 0.749444i \(-0.730321\pi\)
−0.271332 + 0.962486i \(0.587464\pi\)
\(140\) −3.50380 + 8.23721i −0.296125 + 0.696171i
\(141\) −0.267746 0.0611112i −0.0225483 0.00514649i
\(142\) −0.352228 + 11.7684i −0.0295583 + 0.987582i
\(143\) 5.82641 14.8455i 0.487229 1.24144i
\(144\) −0.623717 2.39943i −0.0519764 0.199953i
\(145\) −2.53629 + 1.72921i −0.210628 + 0.143603i
\(146\) 4.84271 + 17.5472i 0.400786 + 1.45222i
\(147\) 2.81438 + 13.0173i 0.232126 + 1.07365i
\(148\) 6.72182 + 11.2505i 0.552530 + 0.924784i
\(149\) 8.08974 + 11.8655i 0.662737 + 0.972057i 0.999535 + 0.0304802i \(0.00970365\pi\)
−0.336798 + 0.941577i \(0.609344\pi\)
\(150\) −3.02445 + 4.89426i −0.246945 + 0.399615i
\(151\) 8.95053 22.8056i 0.728383 1.85589i 0.290413 0.956902i \(-0.406207\pi\)
0.437971 0.898989i \(-0.355697\pi\)
\(152\) 8.70322 4.85264i 0.705924 0.393601i
\(153\) 0.439280 1.92461i 0.0355137 0.155596i
\(154\) −14.6318 + 11.7102i −1.17906 + 0.943635i
\(155\) 13.0378 2.97580i 1.04722 0.239022i
\(156\) 5.41952 + 10.8361i 0.433909 + 0.867581i
\(157\) 4.84824 + 15.7176i 0.386931 + 1.25440i 0.914395 + 0.404823i \(0.132667\pi\)
−0.527464 + 0.849578i \(0.676857\pi\)
\(158\) −12.0183 + 4.30654i −0.956125 + 0.342610i
\(159\) 1.79847 + 4.58243i 0.142628 + 0.363411i
\(160\) 5.96652 7.48169i 0.471695 0.591480i
\(161\) 0.896352 7.56502i 0.0706424 0.596207i
\(162\) −9.74684 11.1562i −0.765784 0.876512i
\(163\) 11.3071 12.1862i 0.885640 0.954493i −0.113598 0.993527i \(-0.536238\pi\)
0.999238 + 0.0390337i \(0.0124280\pi\)
\(164\) −8.79090 + 3.60283i −0.686454 + 0.281334i
\(165\) 13.9608 8.06027i 1.08685 0.627491i
\(166\) −2.31812 + 8.91759i −0.179921 + 0.692139i
\(167\) −11.9951 + 15.0413i −0.928206 + 1.16393i 0.0579839 + 0.998318i \(0.481533\pi\)
−0.986190 + 0.165616i \(0.947039\pi\)
\(168\) 0.826737 14.2135i 0.0637842 1.09660i
\(169\) 1.78434 + 2.23749i 0.137257 + 0.172115i
\(170\) 6.96118 3.09931i 0.533898 0.237706i
\(171\) −1.23004 + 1.80414i −0.0940635 + 0.137966i
\(172\) 0.980860 16.3712i 0.0747899 1.24830i
\(173\) −1.79118 11.8837i −0.136181 0.903499i −0.947698 0.319170i \(-0.896596\pi\)
0.811517 0.584329i \(-0.198642\pi\)
\(174\) 2.86983 3.94997i 0.217561 0.299447i
\(175\) −4.30921 + 3.66556i −0.325746 + 0.277090i
\(176\) 18.4225 7.87407i 1.38865 0.593531i
\(177\) 9.65139 16.7167i 0.725443 1.25650i
\(178\) 11.7271 11.9038i 0.878981 0.892228i
\(179\) −2.33629 + 15.5003i −0.174622 + 1.15854i 0.714081 + 0.700063i \(0.246845\pi\)
−0.888704 + 0.458482i \(0.848394\pi\)
\(180\) −0.435988 + 2.05114i −0.0324966 + 0.152883i
\(181\) 3.03020 + 6.29228i 0.225233 + 0.467701i 0.982708 0.185163i \(-0.0592814\pi\)
−0.757475 + 0.652865i \(0.773567\pi\)
\(182\) 1.79615 + 11.7774i 0.133140 + 0.873001i
\(183\) 2.64246 + 1.27254i 0.195336 + 0.0940689i
\(184\) −3.08841 + 7.53559i −0.227680 + 0.555531i
\(185\) −0.828391 11.0541i −0.0609045 0.812714i
\(186\) −17.9250 + 11.4509i −1.31433 + 0.839623i
\(187\) 15.9086 + 1.19218i 1.16335 + 0.0871811i
\(188\) 0.199505 + 0.208667i 0.0145504 + 0.0152186i
\(189\) −4.72817 11.0090i −0.343923 0.800783i
\(190\) −8.41992 + 0.378130i −0.610845 + 0.0274324i
\(191\) 0.689862 + 0.212794i 0.0499167 + 0.0153973i 0.319613 0.947548i \(-0.396447\pi\)
−0.269696 + 0.962945i \(0.586923\pi\)
\(192\) −4.91954 + 14.4036i −0.355037 + 1.03949i
\(193\) −3.70213 + 3.43507i −0.266485 + 0.247262i −0.802085 0.597210i \(-0.796276\pi\)
0.535600 + 0.844472i \(0.320085\pi\)
\(194\) −0.968107 0.820601i −0.0695060 0.0589157i
\(195\) 10.2479i 0.733867i
\(196\) 5.06934 13.0500i 0.362095 0.932141i
\(197\) 2.30306i 0.164087i −0.996629 0.0820433i \(-0.973855\pi\)
0.996629 0.0820433i \(-0.0261446\pi\)
\(198\) −2.83872 + 3.34899i −0.201739 + 0.238002i
\(199\) −14.4243 + 13.3838i −1.02251 + 0.948751i −0.998700 0.0509656i \(-0.983770\pi\)
−0.0238099 + 0.999717i \(0.507580\pi\)
\(200\) 5.48768 2.54229i 0.388038 0.179767i
\(201\) 26.3389 + 8.12446i 1.85780 + 0.573055i
\(202\) 0.0477903 + 1.06416i 0.00336252 + 0.0748741i
\(203\) 3.87914 2.82871i 0.272262 0.198536i
\(204\) −8.76015 + 8.37553i −0.613333 + 0.586404i
\(205\) 8.01338 + 0.600520i 0.559679 + 0.0419421i
\(206\) 8.52508 + 13.3450i 0.593971 + 0.929789i
\(207\) −0.133362 1.77959i −0.00926928 0.123690i
\(208\) 1.52068 12.6451i 0.105440 0.876778i
\(209\) −15.8983 7.65621i −1.09971 0.529591i
\(210\) −6.00311 + 10.4397i −0.414254 + 0.720405i
\(211\) −1.98846 4.12908i −0.136891 0.284257i 0.821242 0.570580i \(-0.193281\pi\)
−0.958133 + 0.286322i \(0.907567\pi\)
\(212\) 1.07591 5.06172i 0.0738940 0.347640i
\(213\) −2.36074 + 15.6625i −0.161755 + 1.07318i
\(214\) 4.87820 + 4.80578i 0.333467 + 0.328516i
\(215\) −6.93607 + 12.0136i −0.473036 + 0.819322i
\(216\) 1.71930 + 12.6927i 0.116983 + 0.863627i
\(217\) −20.2335 + 5.29734i −1.37354 + 0.359607i
\(218\) 10.5210 + 7.64399i 0.712574 + 0.517716i
\(219\) 3.64993 + 24.2157i 0.246640 + 1.63635i
\(220\) −16.9157 1.01348i −1.14045 0.0683288i
\(221\) 5.71292 8.37931i 0.384293 0.563654i
\(222\) 7.17126 + 16.1070i 0.481303 + 1.08103i
\(223\) −2.59399 3.25276i −0.173706 0.217821i 0.687356 0.726321i \(-0.258771\pi\)
−0.861062 + 0.508500i \(0.830200\pi\)
\(224\) −8.95649 + 11.9909i −0.598431 + 0.801175i
\(225\) −0.826306 + 1.03616i −0.0550871 + 0.0690770i
\(226\) 9.00131 + 2.33988i 0.598758 + 0.155647i
\(227\) 19.9286 11.5058i 1.32271 0.763665i 0.338547 0.940950i \(-0.390065\pi\)
0.984160 + 0.177285i \(0.0567313\pi\)
\(228\) 12.4043 5.08375i 0.821498 0.336679i
\(229\) −13.8569 + 14.9342i −0.915692 + 0.986881i −0.999954 0.00956246i \(-0.996956\pi\)
0.0842624 + 0.996444i \(0.473147\pi\)
\(230\) 5.18745 4.53213i 0.342050 0.298840i
\(231\) −21.4246 + 13.2911i −1.40963 + 0.874493i
\(232\) −4.80519 + 1.80340i −0.315476 + 0.118399i
\(233\) −2.94297 7.49856i −0.192800 0.491247i 0.801484 0.598017i \(-0.204044\pi\)
−0.994284 + 0.106770i \(0.965949\pi\)
\(234\) 0.941445 + 2.62730i 0.0615442 + 0.171752i
\(235\) −0.0719752 0.233338i −0.00469515 0.0152213i
\(236\) −18.1480 + 9.07649i −1.18134 + 0.590829i
\(237\) −16.7446 + 3.82184i −1.08768 + 0.248255i
\(238\) −10.7283 + 5.18954i −0.695415 + 0.336388i
\(239\) 2.33305 10.2218i 0.150913 0.661191i −0.841708 0.539933i \(-0.818450\pi\)
0.992621 0.121259i \(-0.0386931\pi\)
\(240\) 9.17121 9.03495i 0.591999 0.583203i
\(241\) 7.86791 20.0471i 0.506816 1.29135i −0.417137 0.908843i \(-0.636967\pi\)
0.923954 0.382504i \(-0.124938\pi\)
\(242\) −16.9472 10.4727i −1.08941 0.673208i
\(243\) −3.57391 5.24196i −0.229266 0.336272i
\(244\) −1.58131 2.64668i −0.101233 0.169436i
\(245\) −8.77237 + 7.95423i −0.560446 + 0.508177i
\(246\) −12.3207 + 3.40028i −0.785540 + 0.216794i
\(247\) −9.26833 + 6.31904i −0.589730 + 0.402071i
\(248\) 22.3571 + 0.334562i 1.41968 + 0.0212447i
\(249\) −4.52868 + 11.5389i −0.286993 + 0.731247i
\(250\) −17.0698 0.510898i −1.07959 0.0323120i
\(251\) −6.58612 1.50324i −0.415712 0.0948836i 0.00954859 0.999954i \(-0.496961\pi\)
−0.425261 + 0.905071i \(0.639818\pi\)
\(252\) 0.579983 3.22795i 0.0365355 0.203342i
\(253\) 14.0600 3.20910i 0.883944 0.201754i
\(254\) −28.4482 + 5.60338i −1.78500 + 0.351587i
\(255\) 9.79587 3.02163i 0.613441 0.189222i
\(256\) 12.6572 9.78748i 0.791077 0.611717i
\(257\) −8.26240 21.0523i −0.515395 1.31320i −0.917546 0.397630i \(-0.869833\pi\)
0.402151 0.915573i \(-0.368263\pi\)
\(258\) 3.93972 21.7095i 0.245277 1.35158i
\(259\) 1.84227 + 17.2389i 0.114473 + 1.07117i
\(260\) −5.93464 + 8.99056i −0.368051 + 0.557571i
\(261\) 0.764973 0.824445i 0.0473507 0.0510319i
\(262\) −3.61790 + 0.435065i −0.223515 + 0.0268784i
\(263\) 14.9242 + 25.8494i 0.920263 + 1.59394i 0.799007 + 0.601321i \(0.205359\pi\)
0.121256 + 0.992621i \(0.461308\pi\)
\(264\) 25.8718 7.55834i 1.59230 0.465183i
\(265\) −2.72902 + 3.42208i −0.167642 + 0.210217i
\(266\) 13.1434 1.00799i 0.805873 0.0618038i
\(267\) 17.5759 14.0163i 1.07563 0.857783i
\(268\) −18.4023 22.3807i −1.12410 1.36712i
\(269\) −3.91145 + 5.73704i −0.238485 + 0.349794i −0.926758 0.375658i \(-0.877417\pi\)
0.688273 + 0.725452i \(0.258369\pi\)
\(270\) 3.50164 10.2524i 0.213103 0.623942i
\(271\) 14.5671 2.19564i 0.884887 0.133375i 0.309153 0.951012i \(-0.399954\pi\)
0.575734 + 0.817637i \(0.304716\pi\)
\(272\) 12.5357 2.27483i 0.760088 0.137932i
\(273\) 0.507402 + 16.0196i 0.0307094 + 0.969552i
\(274\) 20.6255 + 8.81578i 1.24603 + 0.532581i
\(275\) −9.27510 5.35498i −0.559310 0.322918i
\(276\) −5.33557 + 9.56923i −0.321164 + 0.576000i
\(277\) −2.82349 + 18.7326i −0.169647 + 1.12553i 0.728245 + 0.685317i \(0.240336\pi\)
−0.897892 + 0.440216i \(0.854902\pi\)
\(278\) 14.1686 + 7.35330i 0.849778 + 0.441022i
\(279\) −4.41445 + 2.12589i −0.264286 + 0.127273i
\(280\) 11.3123 5.68234i 0.676037 0.339585i
\(281\) −9.94071 4.78719i −0.593013 0.285580i 0.113208 0.993571i \(-0.463887\pi\)
−0.706221 + 0.707991i \(0.749602\pi\)
\(282\) 0.232963 + 0.310762i 0.0138727 + 0.0185056i
\(283\) 9.22587 0.691384i 0.548421 0.0410985i 0.202361 0.979311i \(-0.435138\pi\)
0.346060 + 0.938212i \(0.387519\pi\)
\(284\) 11.1414 12.3737i 0.661119 0.734244i
\(285\) −11.3072 0.847360i −0.669783 0.0501933i
\(286\) −19.8607 + 10.6875i −1.17439 + 0.631964i
\(287\) −12.5563 0.541975i −0.741177 0.0319917i
\(288\) −1.52125 + 3.15886i −0.0896405 + 0.186138i
\(289\) −6.55055 2.02058i −0.385327 0.118858i
\(290\) 4.31741 + 0.453782i 0.253527 + 0.0266470i
\(291\) −1.16129 1.25158i −0.0680763 0.0733688i
\(292\) 10.8214 23.3583i 0.633276 1.36694i
\(293\) 6.48796i 0.379031i 0.981878 + 0.189515i \(0.0606916\pi\)
−0.981878 + 0.189515i \(0.939308\pi\)
\(294\) 8.86724 16.6166i 0.517148 0.969101i
\(295\) 17.1629 0.999265
\(296\) 3.03628 18.2837i 0.176480 1.06272i
\(297\) 16.6270 15.4276i 0.964799 0.895203i
\(298\) 2.12292 20.1980i 0.122977 1.17004i
\(299\) 2.70227 8.76055i 0.156276 0.506636i
\(300\) 7.73825 2.51429i 0.446768 0.145163i
\(301\) 10.2477 19.1232i 0.590668 1.10225i
\(302\) −30.5100 + 16.4181i −1.75565 + 0.944754i
\(303\) −0.107095 + 1.42908i −0.00615242 + 0.0820984i
\(304\) −13.8265 2.72345i −0.793002 0.156201i
\(305\) 0.194879 + 2.60048i 0.0111588 + 0.148903i
\(306\) −2.23382 + 1.67459i −0.127699 + 0.0957298i
\(307\) 8.92227 18.5273i 0.509221 1.05741i −0.474922 0.880028i \(-0.657524\pi\)
0.984142 0.177380i \(-0.0567621\pi\)
\(308\) 26.4930 + 0.746740i 1.50958 + 0.0425495i
\(309\) 9.24346 + 19.1942i 0.525842 + 1.09192i
\(310\) −16.7864 8.71190i −0.953405 0.494803i
\(311\) 25.9371 + 3.90939i 1.47076 + 0.221681i 0.835018 0.550222i \(-0.185457\pi\)
0.635740 + 0.771903i \(0.280695\pi\)
\(312\) 4.06226 16.6458i 0.229980 0.942381i
\(313\) −5.60078 + 9.70084i −0.316575 + 0.548324i −0.979771 0.200122i \(-0.935866\pi\)
0.663196 + 0.748446i \(0.269200\pi\)
\(314\) 9.14237 21.3896i 0.515934 1.20708i
\(315\) −1.66005 + 2.22249i −0.0935331 + 0.125223i
\(316\) 16.9034 + 6.34400i 0.950892 + 0.356878i
\(317\) −3.21424 21.3251i −0.180529 1.19773i −0.877122 0.480268i \(-0.840540\pi\)
0.696593 0.717467i \(-0.254699\pi\)
\(318\) 2.25012 6.58812i 0.126181 0.369444i
\(319\) 7.50947 + 5.11987i 0.420450 + 0.286658i
\(320\) −13.2782 + 2.61530i −0.742273 + 0.146200i
\(321\) 5.74391 + 7.20263i 0.320594 + 0.402012i
\(322\) −7.88468 + 7.34152i −0.439396 + 0.409127i
\(323\) −8.77311 6.99633i −0.488149 0.389286i
\(324\) 0.313360 + 20.9481i 0.0174089 + 1.16379i
\(325\) −5.89623 + 3.40419i −0.327064 + 0.188830i
\(326\) −23.3415 + 2.80689i −1.29277 + 0.155460i
\(327\) 12.8251 + 11.9000i 0.709232 + 0.658071i
\(328\) 12.7782 + 4.15193i 0.705557 + 0.229252i
\(329\) 0.124066 + 0.361193i 0.00683996 + 0.0199132i
\(330\) −22.4315 4.07074i −1.23481 0.224087i
\(331\) −24.6104 + 9.65888i −1.35271 + 0.530900i −0.927374 0.374135i \(-0.877940\pi\)
−0.425337 + 0.905035i \(0.639844\pi\)
\(332\) 10.6553 7.50056i 0.584786 0.411647i
\(333\) 1.19711 + 3.88094i 0.0656013 + 0.212674i
\(334\) 26.6946 5.25798i 1.46066 0.287704i
\(335\) 5.45351 + 23.8934i 0.297957 + 1.30543i
\(336\) −13.8892 + 14.5776i −0.757718 + 0.795275i
\(337\) 1.30090 5.69960i 0.0708644 0.310477i −0.927057 0.374920i \(-0.877670\pi\)
0.997921 + 0.0644433i \(0.0205271\pi\)
\(338\) 0.121081 4.04547i 0.00658593 0.220045i
\(339\) 11.6472 + 4.57120i 0.632590 + 0.248273i
\(340\) −10.3438 3.02198i −0.560974 0.163890i
\(341\) −22.3048 32.7151i −1.20787 1.77162i
\(342\) 2.97673 0.821522i 0.160963 0.0444228i
\(343\) 13.3192 12.8685i 0.719171 0.694833i
\(344\) −16.0285 + 16.7644i −0.864200 + 0.903876i
\(345\) 7.65684 5.22035i 0.412231 0.281054i
\(346\) −8.93447 + 14.4580i −0.480320 + 0.777269i
\(347\) −10.1532 3.98482i −0.545050 0.213916i 0.0768086 0.997046i \(-0.475527\pi\)
−0.621859 + 0.783129i \(0.713622\pi\)
\(348\) −6.70796 + 1.63698i −0.359584 + 0.0877514i
\(349\) 26.9752 + 6.15692i 1.44395 + 0.329573i 0.871512 0.490374i \(-0.163140\pi\)
0.572440 + 0.819947i \(0.305997\pi\)
\(350\) 8.00069 0.0139383i 0.427655 0.000745034i
\(351\) −3.20853 14.0575i −0.171259 0.750334i
\(352\) −27.0746 8.35157i −1.44308 0.445140i
\(353\) −11.7856 + 3.63537i −0.627283 + 0.193491i −0.592067 0.805889i \(-0.701688\pi\)
−0.0352155 + 0.999380i \(0.511212\pi\)
\(354\) −25.6982 + 9.20849i −1.36585 + 0.489426i
\(355\) −13.1100 + 5.14528i −0.695804 + 0.273083i
\(356\) −23.5364 + 2.11826i −1.24743 + 0.112268i
\(357\) −15.1634 + 5.20846i −0.802533 + 0.275661i
\(358\) 16.6943 14.5854i 0.882322 0.770860i
\(359\) −23.8954 22.1717i −1.26115 1.17018i −0.977428 0.211269i \(-0.932240\pi\)
−0.283722 0.958907i \(-0.591569\pi\)
\(360\) 2.34597 1.81409i 0.123643 0.0956111i
\(361\) −3.29411 5.70557i −0.173374 0.300293i
\(362\) 2.48487 9.55904i 0.130602 0.502412i
\(363\) −20.9542 16.7104i −1.09981 0.877071i
\(364\) 8.83195 14.3480i 0.462920 0.752038i
\(365\) −17.0239 + 13.5761i −0.891074 + 0.710608i
\(366\) −1.68704 3.78917i −0.0881830 0.198063i
\(367\) 13.7562 + 9.37885i 0.718070 + 0.489572i 0.866390 0.499367i \(-0.166434\pi\)
−0.148320 + 0.988939i \(0.547387\pi\)
\(368\) 10.2226 5.30529i 0.532888 0.276557i
\(369\) −2.91130 + 0.438808i −0.151556 + 0.0228435i
\(370\) −9.21455 + 12.6827i −0.479042 + 0.659343i
\(371\) 4.09660 5.48456i 0.212685 0.284744i
\(372\) 29.8087 + 4.03793i 1.54551 + 0.209357i
\(373\) 2.35920 + 1.36208i 0.122155 + 0.0705260i 0.559832 0.828606i \(-0.310866\pi\)
−0.437678 + 0.899132i \(0.644199\pi\)
\(374\) −16.0721 15.8334i −0.831066 0.818727i
\(375\) −22.7181 3.42420i −1.17316 0.176825i
\(376\) −0.0244152 0.407545i −0.00125912 0.0210175i
\(377\) 5.20558 2.50687i 0.268101 0.129111i
\(378\) −4.96617 + 16.2001i −0.255432 + 0.833242i
\(379\) 12.7866 26.5516i 0.656802 1.36386i −0.260423 0.965495i \(-0.583862\pi\)
0.917225 0.398369i \(-0.130424\pi\)
\(380\) 9.42921 + 7.29151i 0.483708 + 0.374047i
\(381\) −38.8983 + 2.91503i −1.99282 + 0.149341i
\(382\) −0.549640 0.860395i −0.0281220 0.0440216i
\(383\) −0.593324 + 7.91736i −0.0303174 + 0.404558i 0.961314 + 0.275456i \(0.0888287\pi\)
−0.991631 + 0.129103i \(0.958790\pi\)
\(384\) 18.4784 11.0401i 0.942970 0.563388i
\(385\) −19.7592 10.5885i −1.00702 0.539640i
\(386\) 7.13500 0.320425i 0.363162 0.0163092i
\(387\) 1.49809 4.85669i 0.0761523 0.246880i
\(388\) 0.294013 + 1.77053i 0.0149263 + 0.0898852i
\(389\) 2.10259 + 2.26605i 0.106606 + 0.114893i 0.784100 0.620634i \(-0.213125\pi\)
−0.677495 + 0.735528i \(0.736934\pi\)
\(390\) −9.37100 + 11.0555i −0.474519 + 0.559815i
\(391\) 9.17091 0.463793
\(392\) −17.4021 + 9.44279i −0.878940 + 0.476933i
\(393\) −4.90232 −0.247289
\(394\) −2.10599 + 2.48455i −0.106098 + 0.125170i
\(395\) −10.3871 11.1946i −0.522630 0.563261i
\(396\) 6.12483 1.01708i 0.307784 0.0511104i
\(397\) −6.41818 + 20.8072i −0.322119 + 1.04428i 0.639244 + 0.769004i \(0.279247\pi\)
−0.961364 + 0.275281i \(0.911229\pi\)
\(398\) 27.7995 1.24845i 1.39346 0.0625789i
\(399\) 17.7175 + 0.764750i 0.886987 + 0.0382854i
\(400\) −8.24488 2.27548i −0.412244 0.113774i
\(401\) −0.679353 + 9.06533i −0.0339253 + 0.452701i 0.954212 + 0.299130i \(0.0966964\pi\)
−0.988138 + 0.153571i \(0.950923\pi\)
\(402\) −20.9852 32.8498i −1.04665 1.63840i
\(403\) −25.1005 + 1.88102i −1.25034 + 0.0937004i
\(404\) 0.921546 1.19172i 0.0458486 0.0592904i
\(405\) 7.68866 15.9657i 0.382053 0.793341i
\(406\) −6.77148 0.495591i −0.336063 0.0245958i
\(407\) −29.5706 + 14.2404i −1.46576 + 0.705872i
\(408\) 17.1093 1.02499i 0.847038 0.0507443i
\(409\) 26.0898 + 3.93240i 1.29006 + 0.194445i 0.757995 0.652261i \(-0.226179\pi\)
0.532062 + 0.846705i \(0.321417\pi\)
\(410\) −8.09573 7.97553i −0.399819 0.393883i
\(411\) 26.1335 + 15.0882i 1.28907 + 0.744244i
\(412\) 3.00619 22.1922i 0.148104 1.09333i
\(413\) −26.8293 + 0.849785i −1.32018 + 0.0418152i
\(414\) −1.48344 + 2.04178i −0.0729071 + 0.100348i
\(415\) −10.8985 + 1.64269i −0.534987 + 0.0806363i
\(416\) −13.2036 + 12.2510i −0.647358 + 0.600654i
\(417\) 17.7439 + 12.0976i 0.868925 + 0.592423i
\(418\) 10.1500 + 22.7974i 0.496455 + 1.11506i
\(419\) 16.4568 13.1238i 0.803965 0.641141i −0.132783 0.991145i \(-0.542391\pi\)
0.936748 + 0.350004i \(0.113820\pi\)
\(420\) 16.0225 5.77290i 0.781819 0.281689i
\(421\) 9.92915 + 7.91824i 0.483917 + 0.385911i 0.834839 0.550493i \(-0.185560\pi\)
−0.350922 + 0.936405i \(0.614132\pi\)
\(422\) −1.63060 + 6.27277i −0.0793764 + 0.305354i
\(423\) 0.0447327 + 0.0774793i 0.00217498 + 0.00376717i
\(424\) −5.78929 + 4.47675i −0.281153 + 0.217410i
\(425\) −4.99255 4.63241i −0.242174 0.224705i
\(426\) 16.8690 14.7380i 0.817308 0.714059i
\(427\) −0.433394 4.05545i −0.0209734 0.196257i
\(428\) −0.868068 9.64527i −0.0419597 0.466222i
\(429\) −28.2446 + 11.0852i −1.36366 + 0.535198i
\(430\) 18.4683 6.61777i 0.890619 0.319137i
\(431\) 5.49054 1.69361i 0.264470 0.0815783i −0.159684 0.987168i \(-0.551048\pi\)
0.424154 + 0.905590i \(0.360571\pi\)
\(432\) 9.75180 15.2651i 0.469184 0.734441i
\(433\) 5.02618 + 22.0211i 0.241543 + 1.05827i 0.939613 + 0.342239i \(0.111185\pi\)
−0.698070 + 0.716030i \(0.745958\pi\)
\(434\) 26.6721 + 12.7874i 1.28030 + 0.613815i
\(435\) 5.69388 + 1.29959i 0.273000 + 0.0623106i
\(436\) −4.36021 17.8671i −0.208816 0.855679i
\(437\) −9.44270 3.70599i −0.451706 0.177281i
\(438\) 18.2061 29.4616i 0.869919 1.40773i
\(439\) −5.88284 + 4.01085i −0.280773 + 0.191428i −0.695516 0.718511i \(-0.744824\pi\)
0.414743 + 0.909939i \(0.363872\pi\)
\(440\) 17.3219 + 16.5616i 0.825790 + 0.789542i
\(441\) 2.48496 3.55641i 0.118332 0.169353i
\(442\) −13.8254 + 3.81556i −0.657608 + 0.181488i
\(443\) 18.1398 + 26.6062i 0.861849 + 1.26410i 0.963074 + 0.269236i \(0.0867713\pi\)
−0.101225 + 0.994864i \(0.532276\pi\)
\(444\) 6.99233 23.9338i 0.331841 1.13585i
\(445\) 18.6066 + 7.30254i 0.882036 + 0.346174i
\(446\) −0.176021 + 5.88111i −0.00833485 + 0.278478i
\(447\) 6.07984 26.6375i 0.287567 1.25991i
\(448\) 20.6271 4.74571i 0.974540 0.224214i
\(449\) 2.16552 + 9.48778i 0.102197 + 0.447756i 0.999973 + 0.00730358i \(0.00232482\pi\)
−0.897776 + 0.440452i \(0.854818\pi\)
\(450\) 1.83891 0.362207i 0.0866872 0.0170746i
\(451\) −7.01300 22.7356i −0.330229 1.07058i
\(452\) −7.57097 10.7553i −0.356109 0.505889i
\(453\) −43.3893 + 17.0291i −2.03861 + 0.800095i
\(454\) −32.0202 5.81085i −1.50278 0.272717i
\(455\) −12.1099 + 7.51258i −0.567719 + 0.352195i
\(456\) −18.0306 5.85856i −0.844359 0.274352i
\(457\) 18.7549 + 17.4020i 0.877319 + 0.814033i 0.983611 0.180302i \(-0.0577075\pi\)
−0.106292 + 0.994335i \(0.533898\pi\)
\(458\) 28.6052 3.43987i 1.33663 0.160735i
\(459\) 12.4914 7.21191i 0.583048 0.336623i
\(460\) −9.74055 + 0.145707i −0.454156 + 0.00679364i
\(461\) 12.7959 + 10.2044i 0.595966 + 0.475267i 0.874412 0.485185i \(-0.161248\pi\)
−0.278446 + 0.960452i \(0.589819\pi\)
\(462\) 35.2667 + 5.25278i 1.64076 + 0.244382i
\(463\) 0.0636540 + 0.0798197i 0.00295825 + 0.00370953i 0.783308 0.621633i \(-0.213531\pi\)
−0.780350 + 0.625343i \(0.784959\pi\)
\(464\) 6.83293 + 2.44850i 0.317211 + 0.113669i
\(465\) −21.0223 14.3328i −0.974886 0.664666i
\(466\) −3.68203 + 10.7806i −0.170567 + 0.499402i
\(467\) 4.18037 + 27.7349i 0.193444 + 1.28342i 0.849049 + 0.528315i \(0.177176\pi\)
−0.655604 + 0.755104i \(0.727586\pi\)
\(468\) 1.38685 3.69522i 0.0641072 0.170812i
\(469\) −9.70801 37.0804i −0.448274 1.71221i
\(470\) −0.135724 + 0.317542i −0.00626050 + 0.0146471i
\(471\) 15.6471 27.1016i 0.720981 1.24878i
\(472\) 27.8780 + 6.80338i 1.28319 + 0.313151i
\(473\) 40.6140 + 6.12157i 1.86743 + 0.281470i
\(474\) 21.5589 + 11.1888i 0.990234 + 0.513917i
\(475\) 3.26855 + 6.78721i 0.149971 + 0.311418i
\(476\) 16.3192 + 4.21184i 0.747991 + 0.193049i
\(477\) 0.695800 1.44484i 0.0318585 0.0661548i
\(478\) −11.8640 + 8.89386i −0.542647 + 0.406796i
\(479\) −0.776377 10.3600i −0.0354736 0.473362i −0.986446 0.164086i \(-0.947532\pi\)
0.950972 0.309276i \(-0.100087\pi\)
\(480\) −18.1558 + 1.36048i −0.828694 + 0.0620973i
\(481\) −1.55920 + 20.8060i −0.0710932 + 0.948673i
\(482\) −26.8196 + 14.4322i −1.22160 + 0.657369i
\(483\) −11.7108 + 8.53962i −0.532859 + 0.388566i
\(484\) 8.70615 + 26.7950i 0.395734 + 1.21795i
\(485\) 0.447462 1.45064i 0.0203182 0.0658700i
\(486\) −0.937869 + 8.92313i −0.0425426 + 0.404762i
\(487\) −29.0207 + 26.9273i −1.31505 + 1.22019i −0.356830 + 0.934169i \(0.616143\pi\)
−0.958223 + 0.286022i \(0.907667\pi\)
\(488\) −0.714285 + 4.30124i −0.0323342 + 0.194708i
\(489\) −31.6282 −1.43027
\(490\) 16.7373 0.559322i 0.756112 0.0252676i
\(491\) 12.2200i 0.551481i −0.961232 0.275740i \(-0.911077\pi\)
0.961232 0.275740i \(-0.0889230\pi\)
\(492\) 16.4009 + 7.59820i 0.739411 + 0.342553i
\(493\) 3.93118 + 4.23680i 0.177051 + 0.190816i
\(494\) 15.7770 + 1.65825i 0.709842 + 0.0746082i
\(495\) −5.01821 1.54791i −0.225552 0.0695735i
\(496\) −23.8130 20.8050i −1.06923 0.934170i
\(497\) 20.2389 8.69227i 0.907838 0.389902i
\(498\) 15.4371 8.30702i 0.691752 0.372246i
\(499\) 9.27758 + 0.695259i 0.415322 + 0.0311241i 0.280753 0.959780i \(-0.409416\pi\)
0.134569 + 0.990904i \(0.457035\pi\)
\(500\) 17.9477 + 16.1603i 0.802647 + 0.722710i
\(501\) 36.5005 2.73534i 1.63072 0.122206i
\(502\) 5.73052 + 7.64426i 0.255766 + 0.341180i
\(503\) 27.7623 + 13.3696i 1.23786 + 0.596122i 0.934231 0.356669i \(-0.116088\pi\)
0.303628 + 0.952791i \(0.401802\pi\)
\(504\) −3.57743 + 2.95197i −0.159351 + 0.131491i
\(505\) −1.14803 + 0.552862i −0.0510867 + 0.0246021i
\(506\) −18.1025 9.39490i −0.804752 0.417654i
\(507\) 0.811521 5.38409i 0.0360409 0.239116i
\(508\) 35.8139 + 19.9690i 1.58898 + 0.885980i
\(509\) 7.40219 + 4.27366i 0.328096 + 0.189426i 0.654996 0.755633i \(-0.272670\pi\)
−0.326899 + 0.945059i \(0.606004\pi\)
\(510\) −13.3309 5.69791i −0.590302 0.252308i
\(511\) 25.9398 22.0653i 1.14751 0.976111i
\(512\) −22.6046 1.01540i −0.998993 0.0448749i
\(513\) −15.7759 + 2.37784i −0.696525 + 0.104984i
\(514\) −10.3373 + 30.2666i −0.455960 + 1.33500i
\(515\) −10.6706 + 15.6509i −0.470202 + 0.689659i
\(516\) −24.1021 + 19.8177i −1.06103 + 0.872426i
\(517\) −0.565256 + 0.450776i −0.0248599 + 0.0198251i
\(518\) 13.7763 20.2820i 0.605297 0.891139i
\(519\) −14.2561 + 17.8765i −0.625772 + 0.784693i
\(520\) 14.6236 4.27222i 0.641285 0.187349i
\(521\) 8.30859 + 14.3909i 0.364006 + 0.630477i 0.988616 0.150460i \(-0.0480755\pi\)
−0.624610 + 0.780937i \(0.714742\pi\)
\(522\) −1.57915 + 0.189898i −0.0691177 + 0.00831163i
\(523\) −20.5390 + 22.1358i −0.898109 + 0.967931i −0.999638 0.0269012i \(-0.991436\pi\)
0.101529 + 0.994833i \(0.467627\pi\)
\(524\) 4.30084 + 2.83898i 0.187883 + 0.124021i
\(525\) 10.6888 + 1.26647i 0.466496 + 0.0552734i
\(526\) 7.53727 41.5335i 0.328641 1.81095i
\(527\) −9.19902 23.4387i −0.400716 1.02101i
\(528\) −34.8221 15.5040i −1.51544 0.674724i
\(529\) −14.0561 + 4.33572i −0.611133 + 0.188510i
\(530\) 6.07333 1.19625i 0.263809 0.0519618i
\(531\) −6.13053 + 1.39925i −0.266042 + 0.0607224i
\(532\) −15.1009 10.9313i −0.654706 0.473932i
\(533\) −14.7459 3.36564i −0.638714 0.145782i
\(534\) −31.7778 0.951110i −1.37516 0.0411586i
\(535\) −2.99260 + 7.62501i −0.129381 + 0.329658i
\(536\) −0.613124 + 40.9720i −0.0264829 + 1.76972i
\(537\) 24.6414 16.8002i 1.06335 0.724982i
\(538\) 9.46582 2.61239i 0.408100 0.112628i
\(539\) 31.4121 + 15.5737i 1.35301 + 0.670808i
\(540\) −13.1527 + 7.85834i −0.566002 + 0.338169i
\(541\) −3.33386 4.88987i −0.143334 0.210232i 0.747858 0.663859i \(-0.231082\pi\)
−0.891192 + 0.453627i \(0.850130\pi\)
\(542\) −17.7228 10.9519i −0.761258 0.470426i
\(543\) 4.85443 12.3689i 0.208324 0.530800i
\(544\) −15.6037 9.00892i −0.669004 0.386254i
\(545\) −3.46155 + 15.1660i −0.148276 + 0.649641i
\(546\) 14.1015 17.7460i 0.603487 0.759459i
\(547\) 31.0684 7.09117i 1.32839 0.303196i 0.501304 0.865271i \(-0.332854\pi\)
0.827086 + 0.562075i \(0.189997\pi\)
\(548\) −14.1894 28.3711i −0.606142 1.21195i
\(549\) −0.281621 0.912993i −0.0120193 0.0389656i
\(550\) 5.10925 + 14.2584i 0.217859 + 0.607981i
\(551\) −2.33558 5.95097i −0.0994992 0.253520i
\(552\) 14.5064 5.44430i 0.617435 0.231725i
\(553\) 16.7915 + 16.9852i 0.714045 + 0.722285i
\(554\) 20.1757 17.6269i 0.857182 0.748895i
\(555\) −14.3450 + 15.4602i −0.608912 + 0.656251i
\(556\) −8.56106 20.8890i −0.363070 0.885891i
\(557\) −8.94047 + 5.16178i −0.378820 + 0.218712i −0.677305 0.735703i \(-0.736852\pi\)
0.298485 + 0.954414i \(0.403519\pi\)
\(558\) 6.70630 + 1.74330i 0.283900 + 0.0737996i
\(559\) 16.2794 20.4137i 0.688545 0.863408i
\(560\) −17.3998 4.21417i −0.735276 0.178081i
\(561\) −18.9243 23.7303i −0.798983 1.00189i
\(562\) 6.34651 + 14.2545i 0.267711 + 0.601291i
\(563\) 14.5237 21.3023i 0.612100 0.897786i −0.387611 0.921823i \(-0.626700\pi\)
0.999711 + 0.0240374i \(0.00765207\pi\)
\(564\) 0.0328494 0.548279i 0.00138321 0.0230867i
\(565\) 1.65811 + 11.0008i 0.0697571 + 0.462808i
\(566\) −10.5851 7.69056i −0.444926 0.323258i
\(567\) −11.2285 + 25.3384i −0.471553 + 1.06411i
\(568\) −23.3342 + 3.16076i −0.979083 + 0.132622i
\(569\) −21.2310 + 36.7732i −0.890051 + 1.54161i −0.0502388 + 0.998737i \(0.515998\pi\)
−0.839812 + 0.542877i \(0.817335\pi\)
\(570\) 11.4234 + 11.2538i 0.478475 + 0.471371i
\(571\) 1.60017 10.6165i 0.0669652 0.444285i −0.930073 0.367375i \(-0.880257\pi\)
0.997038 0.0769099i \(-0.0245054\pi\)
\(572\) 31.1987 + 6.63157i 1.30449 + 0.277280i
\(573\) −0.595956 1.23751i −0.0248964 0.0516979i
\(574\) 13.0502 + 12.0666i 0.544706 + 0.503650i
\(575\) −5.54706 2.67132i −0.231328 0.111402i
\(576\) 4.52969 2.01671i 0.188737 0.0840297i
\(577\) 2.55403 + 34.0811i 0.106326 + 1.41882i 0.753988 + 0.656889i \(0.228128\pi\)
−0.647662 + 0.761928i \(0.724253\pi\)
\(578\) 5.21908 + 8.16983i 0.217085 + 0.339820i
\(579\) 9.58169 + 0.718049i 0.398202 + 0.0298411i
\(580\) −4.24268 4.43751i −0.176168 0.184258i
\(581\) 16.9553 3.10748i 0.703426 0.128920i
\(582\) 0.108326 + 2.41213i 0.00449026 + 0.0999860i
\(583\) 12.3837 + 3.81987i 0.512881 + 0.158203i
\(584\) −33.0338 + 15.3036i −1.36695 + 0.633268i
\(585\) −2.44723 + 2.27070i −0.101181 + 0.0938818i
\(586\) 5.93279 6.99923i 0.245081 0.289135i
\(587\) 14.8089i 0.611229i 0.952155 + 0.305615i \(0.0988619\pi\)
−0.952155 + 0.305615i \(0.901138\pi\)
\(588\) −24.7608 + 9.81758i −1.02112 + 0.404870i
\(589\) 27.8507i 1.14757i
\(590\) −18.5154 15.6943i −0.762268 0.646125i
\(591\) −3.21205 + 2.98035i −0.132126 + 0.122595i
\(592\) −19.9947 + 16.9480i −0.821778 + 0.696560i
\(593\) −32.4511 10.0098i −1.33261 0.411055i −0.455024 0.890479i \(-0.650369\pi\)
−0.877583 + 0.479425i \(0.840845\pi\)
\(594\) −32.0448 + 1.43910i −1.31481 + 0.0590469i
\(595\) −10.7518 9.36060i −0.440783 0.383747i
\(596\) −20.7599 + 19.8484i −0.850359 + 0.813023i
\(597\) 37.3324 + 2.79767i 1.52791 + 0.114501i
\(598\) −10.9261 + 6.97987i −0.446803 + 0.285428i
\(599\) 2.46997 + 32.9595i 0.100920 + 1.34669i 0.786003 + 0.618223i \(0.212147\pi\)
−0.685083 + 0.728465i \(0.740234\pi\)
\(600\) −10.6472 4.36367i −0.434670 0.178146i
\(601\) −11.2874 5.43574i −0.460424 0.221729i 0.189269 0.981925i \(-0.439388\pi\)
−0.649693 + 0.760197i \(0.725103\pi\)
\(602\) −28.5422 + 11.2594i −1.16329 + 0.458899i
\(603\) −3.89594 8.09000i −0.158655 0.329450i
\(604\) 47.9274 + 10.1874i 1.95014 + 0.414520i
\(605\) 3.55173 23.5642i 0.144398 0.958020i
\(606\) 1.42233 1.44376i 0.0577781 0.0586488i
\(607\) −3.32125 + 5.75257i −0.134805 + 0.233490i −0.925523 0.378691i \(-0.876374\pi\)
0.790718 + 0.612181i \(0.209708\pi\)
\(608\) 12.4256 + 15.5814i 0.503926 + 0.631910i
\(609\) −8.96508 1.74961i −0.363283 0.0708979i
\(610\) 2.16773 2.98361i 0.0877686 0.120803i
\(611\) 0.0685010 + 0.454474i 0.00277125 + 0.0183861i
\(612\) 3.94115 + 0.236129i 0.159312 + 0.00954493i
\(613\) 16.9896 24.9192i 0.686205 1.00648i −0.312200 0.950016i \(-0.601066\pi\)
0.998405 0.0564612i \(-0.0179817\pi\)
\(614\) −26.5673 + 11.8285i −1.07217 + 0.477359i
\(615\) −9.53242 11.9533i −0.384384 0.482003i
\(616\) −27.8978 25.0316i −1.12404 1.00855i
\(617\) −19.4272 + 24.3610i −0.782111 + 0.980736i 0.217878 + 0.975976i \(0.430087\pi\)
−0.999989 + 0.00476006i \(0.998485\pi\)
\(618\) 7.57994 29.1593i 0.304910 1.17296i
\(619\) 11.9212 6.88272i 0.479154 0.276640i −0.240910 0.970548i \(-0.577446\pi\)
0.720064 + 0.693908i \(0.244112\pi\)
\(620\) 10.1428 + 24.7484i 0.407345 + 0.993922i
\(621\) 8.86879 9.55828i 0.355892 0.383561i
\(622\) −24.4062 27.9352i −0.978598 1.12010i
\(623\) −29.4476 10.4942i −1.17979 0.420439i
\(624\) −19.6038 + 14.2429i −0.784780 + 0.570171i
\(625\) −3.55710 9.06333i −0.142284 0.362533i
\(626\) 14.9129 5.34377i 0.596039 0.213580i
\(627\) 9.89564 + 32.0809i 0.395194 + 1.28119i
\(628\) −29.4221 + 14.7151i −1.17407 + 0.587195i
\(629\) −20.3480 + 4.64431i −0.811329 + 0.185181i
\(630\) 3.82317 0.879625i 0.152319 0.0350451i
\(631\) −0.574239 + 2.51590i −0.0228601 + 0.100157i −0.985071 0.172149i \(-0.944929\pi\)
0.962211 + 0.272305i \(0.0877861\pi\)
\(632\) −12.4343 22.3009i −0.494610 0.887084i
\(633\) −3.18554 + 8.11663i −0.126614 + 0.322607i
\(634\) −16.0328 + 25.9447i −0.636743 + 1.03040i
\(635\) −19.5377 28.6566i −0.775330 1.13720i
\(636\) −8.45182 + 5.04970i −0.335137 + 0.200234i
\(637\) 18.5583 12.3433i 0.735307 0.489061i
\(638\) −3.41947 12.3902i −0.135378 0.490534i
\(639\) 4.26334 2.90669i 0.168655 0.114987i
\(640\) 16.7161 + 9.32060i 0.660760 + 0.368429i
\(641\) 11.0594 28.1788i 0.436819 1.11300i −0.527805 0.849365i \(-0.676985\pi\)
0.964624 0.263630i \(-0.0849199\pi\)
\(642\) 0.389767 13.0226i 0.0153829 0.513962i
\(643\) −15.9343 3.63689i −0.628386 0.143425i −0.103544 0.994625i \(-0.533018\pi\)
−0.524842 + 0.851200i \(0.675875\pi\)
\(644\) 15.2193 0.710053i 0.599725 0.0279800i
\(645\) 25.7311 5.87295i 1.01316 0.231247i
\(646\) 3.06680 + 15.5701i 0.120662 + 0.612596i
\(647\) −13.8546 + 4.27357i −0.544680 + 0.168011i −0.554871 0.831937i \(-0.687232\pi\)
0.0101910 + 0.999948i \(0.496756\pi\)
\(648\) 18.8176 22.8855i 0.739224 0.899025i
\(649\) −18.5652 47.3034i −0.728749 1.85682i
\(650\) 9.47376 + 1.71924i 0.371591 + 0.0674343i
\(651\) 33.5720 + 21.3643i 1.31579 + 0.837332i
\(652\) 27.7476 + 18.3161i 1.08668 + 0.717315i
\(653\) 4.55400 4.90804i 0.178212 0.192067i −0.637628 0.770344i \(-0.720084\pi\)
0.815840 + 0.578278i \(0.196275\pi\)
\(654\) −2.95408 24.5655i −0.115514 0.960586i
\(655\) −2.17943 3.77489i −0.0851575 0.147497i
\(656\) −9.98849 16.1639i −0.389985 0.631094i
\(657\) 4.97405 6.23726i 0.194056 0.243339i
\(658\) 0.196444 0.503105i 0.00765817 0.0196131i
\(659\) −36.8488 + 29.3859i −1.43543 + 1.14471i −0.470433 + 0.882436i \(0.655902\pi\)
−0.964992 + 0.262278i \(0.915526\pi\)
\(660\) 20.4768 + 24.9036i 0.797057 + 0.969371i
\(661\) 14.2327 20.8755i 0.553587 0.811964i −0.442824 0.896609i \(-0.646023\pi\)
0.996411 + 0.0846450i \(0.0269756\pi\)
\(662\) 35.3822 + 12.0845i 1.37517 + 0.469678i
\(663\) −19.0795 + 2.87577i −0.740986 + 0.111686i
\(664\) −18.3537 1.65193i −0.712263 0.0641072i
\(665\) 7.28785 + 13.9829i 0.282611 + 0.542232i
\(666\) 2.25741 5.28145i 0.0874727 0.204652i
\(667\) 4.52480 + 2.61239i 0.175201 + 0.101152i
\(668\) −33.6063 18.7380i −1.30027 0.724996i
\(669\) −1.17975 + 7.82713i −0.0456118 + 0.302614i
\(670\) 15.9656 30.7631i 0.616804 1.18848i
\(671\) 6.95649 3.35007i 0.268552 0.129328i
\(672\) 28.3139 3.02567i 1.09223 0.116718i
\(673\) 34.7977 + 16.7577i 1.34135 + 0.645961i 0.960398 0.278633i \(-0.0898813\pi\)
0.380954 + 0.924594i \(0.375596\pi\)
\(674\) −6.61531 + 4.95917i −0.254812 + 0.191020i
\(675\) −9.65617 + 0.723630i −0.371666 + 0.0278525i
\(676\) −3.82993 + 4.25355i −0.147305 + 0.163598i
\(677\) 12.9852 + 0.973104i 0.499061 + 0.0373994i 0.321883 0.946779i \(-0.395684\pi\)
0.177178 + 0.984179i \(0.443303\pi\)
\(678\) −8.38501 15.5820i −0.322024 0.598423i
\(679\) −0.627653 + 2.28981i −0.0240871 + 0.0878747i
\(680\) 8.39558 + 12.7188i 0.321956 + 0.487746i
\(681\) −41.8361 12.9047i −1.60316 0.494511i
\(682\) −5.85325 + 55.6894i −0.224133 + 2.13246i
\(683\) −5.00713 5.39640i −0.191592 0.206488i 0.629949 0.776637i \(-0.283076\pi\)
−0.821541 + 0.570149i \(0.806885\pi\)
\(684\) −3.96253 1.83576i −0.151511 0.0701919i
\(685\) 26.8311i 1.02516i
\(686\) −26.1362 + 1.70305i −0.997884 + 0.0650226i
\(687\) 38.7605 1.47881
\(688\) 32.6215 3.42851i 1.24368 0.130711i
\(689\) 6.03917 5.60353i 0.230074 0.213478i
\(690\) −13.0339 1.36993i −0.496191 0.0521523i
\(691\) 11.8171 38.3101i 0.449544 1.45738i −0.393392 0.919371i \(-0.628699\pi\)
0.842936 0.538014i \(-0.180825\pi\)
\(692\) 22.8594 7.42742i 0.868985 0.282348i
\(693\) 7.92116 + 2.17125i 0.300900 + 0.0824789i
\(694\) 7.30941 + 13.5832i 0.277462 + 0.515611i
\(695\) −1.42696 + 19.0415i −0.0541277 + 0.722284i
\(696\) 8.73347 + 4.36799i 0.331041 + 0.165568i
\(697\) −1.13067 15.0878i −0.0428273 0.571491i
\(698\) −23.4709 31.3091i −0.888386 1.18507i
\(699\) −6.64970 + 13.8082i −0.251515 + 0.522276i
\(700\) −8.64392 7.30105i −0.326709 0.275954i
\(701\) 2.76628 + 5.74424i 0.104481 + 0.216957i 0.946655 0.322249i \(-0.104439\pi\)
−0.842174 + 0.539206i \(0.818724\pi\)
\(702\) −9.39324 + 18.0993i −0.354525 + 0.683112i
\(703\) 22.8278 + 3.44074i 0.860969 + 0.129770i
\(704\) 21.5712 + 33.7675i 0.812995 + 1.27266i
\(705\) −0.232292 + 0.402341i −0.00874861 + 0.0151530i
\(706\) 16.0386 + 6.85525i 0.603621 + 0.258001i
\(707\) 1.76724 0.921083i 0.0664639 0.0346409i
\(708\) 36.1439 + 13.5651i 1.35837 + 0.509808i
\(709\) −3.55259 23.5699i −0.133420 0.885186i −0.950960 0.309314i \(-0.899901\pi\)
0.817540 0.575872i \(-0.195337\pi\)
\(710\) 18.8481 + 6.43741i 0.707355 + 0.241592i
\(711\) 4.62288 + 3.15183i 0.173372 + 0.118203i
\(712\) 27.3281 + 19.2372i 1.02417 + 0.720946i
\(713\) −14.1918 17.7959i −0.531487 0.666463i
\(714\) 21.1211 + 8.24699i 0.790438 + 0.308636i
\(715\) −21.0926 16.8208i −0.788818 0.629061i
\(716\) −31.3472 + 0.468918i −1.17150 + 0.0175243i
\(717\) −17.2753 + 9.97391i −0.645159 + 0.372483i
\(718\) 5.50394 + 45.7695i 0.205405 + 1.70810i
\(719\) −11.0281 10.2326i −0.411278 0.381611i 0.447222 0.894423i \(-0.352413\pi\)
−0.858501 + 0.512812i \(0.828604\pi\)
\(720\) −4.18970 0.188179i −0.156141 0.00701300i
\(721\) 15.9054 24.9939i 0.592350 0.930823i
\(722\) −1.66365 + 9.16743i −0.0619148 + 0.341176i
\(723\) −38.1411 + 14.9693i −1.41848 + 0.556714i
\(724\) −11.4218 + 8.04008i −0.424486 + 0.298807i
\(725\) −1.14368 3.70773i −0.0424753 0.137702i
\(726\) 7.32494 + 37.1885i 0.271854 + 1.38019i
\(727\) −9.75631 42.7452i −0.361841 1.58533i −0.748517 0.663115i \(-0.769234\pi\)
0.386676 0.922216i \(-0.373623\pi\)
\(728\) −22.6482 + 7.40243i −0.839397 + 0.274352i
\(729\) 4.30691 18.8698i 0.159515 0.698882i
\(730\) 30.7799 + 0.921243i 1.13922 + 0.0340967i
\(731\) 24.3133 + 9.54227i 0.899260 + 0.352934i
\(732\) −1.64495 + 5.63044i −0.0607990 + 0.208107i
\(733\) 8.22371 + 12.0620i 0.303750 + 0.445519i 0.947518 0.319701i \(-0.103582\pi\)
−0.643769 + 0.765220i \(0.722630\pi\)
\(734\) −6.26397 22.6971i −0.231207 0.837764i
\(735\) 22.4458 + 1.94129i 0.827926 + 0.0716057i
\(736\) −15.8795 3.62447i −0.585324 0.133600i
\(737\) 59.9543 40.8762i 2.20845 1.50569i
\(738\) 3.54198 + 2.18880i 0.130382 + 0.0805708i
\(739\) −28.9690 11.3695i −1.06564 0.418234i −0.233248 0.972417i \(-0.574935\pi\)
−0.832395 + 0.554183i \(0.813031\pi\)
\(740\) 21.5381 5.25607i 0.791758 0.193217i
\(741\) 20.8070 + 4.74907i 0.764366 + 0.174462i
\(742\) −9.43467 + 2.17070i −0.346358 + 0.0796890i
\(743\) 1.60317 + 7.02394i 0.0588146 + 0.257684i 0.995784 0.0917275i \(-0.0292389\pi\)
−0.936970 + 0.349411i \(0.886382\pi\)
\(744\) −28.4653 31.6141i −1.04359 1.15903i
\(745\) 23.2144 7.16068i 0.850508 0.262347i
\(746\) −1.29958 3.62674i −0.0475809 0.132785i
\(747\) 3.75897 1.47529i 0.137534 0.0539780i
\(748\) 2.86000 + 31.7779i 0.104572 + 1.16192i
\(749\) 4.30052 12.0677i 0.157138 0.440943i
\(750\) 21.3771 + 24.4681i 0.780582 + 0.893450i
\(751\) 6.13826 + 5.69547i 0.223988 + 0.207831i 0.784182 0.620531i \(-0.213083\pi\)
−0.560194 + 0.828362i \(0.689273\pi\)
\(752\) −0.346332 + 0.461986i −0.0126294 + 0.0168469i
\(753\) 6.42642 + 11.1309i 0.234192 + 0.405632i
\(754\) −7.90815 2.05572i −0.287998 0.0748649i
\(755\) −32.4024 25.8400i −1.17924 0.940415i
\(756\) 20.1714 12.9355i 0.733626 0.470458i
\(757\) −3.43316 + 2.73785i −0.124780 + 0.0995088i −0.683892 0.729584i \(-0.739714\pi\)
0.559111 + 0.829093i \(0.311142\pi\)
\(758\) −38.0738 + 16.9515i −1.38290 + 0.615706i
\(759\) −22.6704 15.4564i −0.822885 0.561033i
\(760\) −3.50467 16.4885i −0.127128 0.598100i
\(761\) −13.1314 + 1.97925i −0.476014 + 0.0717476i −0.382668 0.923886i \(-0.624995\pi\)
−0.0933467 + 0.995634i \(0.529757\pi\)
\(762\) 44.6292 + 32.4251i 1.61675 + 1.17464i
\(763\) 4.66022 23.8791i 0.168711 0.864481i
\(764\) −0.193819 + 1.43080i −0.00701212 + 0.0517647i
\(765\) −2.89211 1.66976i −0.104565 0.0603704i
\(766\) 7.87996 7.99872i 0.284715 0.289005i
\(767\) −31.9433 4.81467i −1.15340 0.173848i
\(768\) −30.0299 4.98708i −1.08361 0.179956i
\(769\) 17.9460 8.64236i 0.647151 0.311651i −0.0813610 0.996685i \(-0.525927\pi\)
0.728512 + 0.685033i \(0.240212\pi\)
\(770\) 11.6338 + 29.4913i 0.419254 + 1.06279i
\(771\) −18.6691 + 38.7668i −0.672351 + 1.39615i