Properties

Label 483.2.r.a.34.15
Level $483$
Weight $2$
Character 483.34
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 34.15
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.129024 + 0.0829186i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(-0.821058 + 1.79787i) q^{4} +(-3.74200 + 1.09875i) q^{5} +(0.139511 - 0.0637126i) q^{6} +(-0.158342 - 2.64101i) q^{7} +(-0.0867944 - 0.603668i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(-0.129024 + 0.0829186i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(-0.821058 + 1.79787i) q^{4} +(-3.74200 + 1.09875i) q^{5} +(0.139511 - 0.0637126i) q^{6} +(-0.158342 - 2.64101i) q^{7} +(-0.0867944 - 0.603668i) q^{8} +(0.959493 + 0.281733i) q^{9} +(0.391701 - 0.452047i) q^{10} +(0.170830 - 0.265816i) q^{11} +(1.06856 - 1.66272i) q^{12} +(1.14921 + 0.995794i) q^{13} +(0.239419 + 0.327624i) q^{14} +(3.86028 - 0.555025i) q^{15} +(-2.52738 - 2.91675i) q^{16} +(2.42691 + 5.31419i) q^{17} +(-0.147158 + 0.0432096i) q^{18} +(3.19164 - 6.98871i) q^{19} +(1.09699 - 7.62976i) q^{20} +(-0.219124 + 2.63666i) q^{21} +0.0484616i q^{22} +(-1.47490 - 4.56341i) q^{23} +0.609876i q^{24} +(8.58907 - 5.51986i) q^{25} +(-0.230845 - 0.0331905i) q^{26} +(-0.909632 - 0.415415i) q^{27} +(4.87819 + 1.88374i) q^{28} +(2.19928 + 4.81575i) q^{29} +(-0.452047 + 0.391701i) q^{30} +(4.53470 - 0.651992i) q^{31} +(1.73829 + 0.510408i) q^{32} +(-0.206920 + 0.238799i) q^{33} +(-0.753775 - 0.484422i) q^{34} +(3.49433 + 9.70869i) q^{35} +(-1.29432 + 1.49372i) q^{36} +(0.789895 - 2.69013i) q^{37} +(0.167697 + 1.16636i) q^{38} +(-0.995794 - 1.14921i) q^{39} +(0.988067 + 2.16356i) q^{40} +(-2.21110 - 7.53031i) q^{41} +(-0.190356 - 0.358362i) q^{42} +(-7.04710 - 1.01322i) q^{43} +(0.337641 + 0.525380i) q^{44} -3.89998 q^{45} +(0.568688 + 0.466492i) q^{46} -8.31829i q^{47} +(2.08656 + 3.24675i) q^{48} +(-6.94986 + 0.836365i) q^{49} +(-0.650496 + 1.42439i) q^{50} +(-1.64592 - 5.60549i) q^{51} +(-2.73387 + 1.24852i) q^{52} +(-0.237530 + 0.205821i) q^{53} +(0.151810 - 0.0218270i) q^{54} +(-0.347179 + 1.18238i) q^{55} +(-1.58055 + 0.324811i) q^{56} +(-4.15375 + 6.46336i) q^{57} +(-0.683075 - 0.438986i) q^{58} +(0.835725 + 0.724160i) q^{59} +(-2.17166 + 7.39599i) q^{60} +(0.591132 + 4.11141i) q^{61} +(-0.531023 + 0.460134i) q^{62} +(0.592130 - 2.57864i) q^{63} +(7.13956 - 2.09637i) q^{64} +(-5.39447 - 2.46357i) q^{65} +(0.00689680 - 0.0479683i) q^{66} +(-7.91252 - 12.3121i) q^{67} -11.5468 q^{68} +(0.810443 + 4.72686i) q^{69} +(-1.25588 - 0.962907i) q^{70} +(-1.38621 + 0.890866i) q^{71} +(0.0867944 - 0.603668i) q^{72} +(8.12885 + 3.71232i) q^{73} +(0.121147 + 0.412588i) q^{74} +(-9.28720 + 4.24132i) q^{75} +(9.94426 + 11.4763i) q^{76} +(-0.729072 - 0.409073i) q^{77} +(0.223772 + 0.0657054i) q^{78} +(3.66239 + 3.17348i) q^{79} +(12.6623 + 8.13754i) q^{80} +(0.841254 + 0.540641i) q^{81} +(0.909687 + 0.788248i) q^{82} +(-5.94289 - 1.74499i) q^{83} +(-4.56045 - 2.55881i) q^{84} +(-14.9205 - 17.2192i) q^{85} +(0.993258 - 0.453606i) q^{86} +(-1.49154 - 5.07972i) q^{87} +(-0.175292 - 0.0800531i) q^{88} +(1.08210 - 7.52618i) q^{89} +(0.503190 - 0.323381i) q^{90} +(2.44793 - 3.19274i) q^{91} +(9.41537 + 1.09516i) q^{92} -4.58134 q^{93} +(0.689741 + 1.07326i) q^{94} +(-4.26427 + 29.6586i) q^{95} +(-1.64796 - 0.752597i) q^{96} +(18.1980 - 5.34340i) q^{97} +(0.827347 - 0.684183i) q^{98} +(0.238799 - 0.206920i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.129024 + 0.0829186i −0.0912336 + 0.0586323i −0.585462 0.810700i \(-0.699087\pi\)
0.494229 + 0.869332i \(0.335451\pi\)
\(3\) −0.989821 0.142315i −0.571474 0.0821655i
\(4\) −0.821058 + 1.79787i −0.410529 + 0.898934i
\(5\) −3.74200 + 1.09875i −1.67347 + 0.491377i −0.974616 0.223883i \(-0.928127\pi\)
−0.698859 + 0.715260i \(0.746308\pi\)
\(6\) 0.139511 0.0637126i 0.0569552 0.0260106i
\(7\) −0.158342 2.64101i −0.0598476 0.998208i
\(8\) −0.0867944 0.603668i −0.0306865 0.213429i
\(9\) 0.959493 + 0.281733i 0.319831 + 0.0939109i
\(10\) 0.391701 0.452047i 0.123867 0.142950i
\(11\) 0.170830 0.265816i 0.0515071 0.0801466i −0.814545 0.580100i \(-0.803013\pi\)
0.866052 + 0.499954i \(0.166650\pi\)
\(12\) 1.06856 1.66272i 0.308468 0.479986i
\(13\) 1.14921 + 0.995794i 0.318733 + 0.276184i 0.799502 0.600664i \(-0.205097\pi\)
−0.480769 + 0.876847i \(0.659642\pi\)
\(14\) 0.239419 + 0.327624i 0.0639873 + 0.0875611i
\(15\) 3.86028 0.555025i 0.996721 0.143307i
\(16\) −2.52738 2.91675i −0.631845 0.729188i
\(17\) 2.42691 + 5.31419i 0.588612 + 1.28888i 0.936277 + 0.351262i \(0.114247\pi\)
−0.347665 + 0.937619i \(0.613025\pi\)
\(18\) −0.147158 + 0.0432096i −0.0346856 + 0.0101846i
\(19\) 3.19164 6.98871i 0.732212 1.60332i −0.0637435 0.997966i \(-0.520304\pi\)
0.795956 0.605355i \(-0.206969\pi\)
\(20\) 1.09699 7.62976i 0.245295 1.70607i
\(21\) −0.219124 + 2.63666i −0.0478169 + 0.575367i
\(22\) 0.0484616i 0.0103320i
\(23\) −1.47490 4.56341i −0.307537 0.951536i
\(24\) 0.609876i 0.124490i
\(25\) 8.58907 5.51986i 1.71781 1.10397i
\(26\) −0.230845 0.0331905i −0.0452725 0.00650920i
\(27\) −0.909632 0.415415i −0.175059 0.0799467i
\(28\) 4.87819 + 1.88374i 0.921891 + 0.355994i
\(29\) 2.19928 + 4.81575i 0.408396 + 0.894263i 0.996349 + 0.0853679i \(0.0272066\pi\)
−0.587953 + 0.808895i \(0.700066\pi\)
\(30\) −0.452047 + 0.391701i −0.0825321 + 0.0715145i
\(31\) 4.53470 0.651992i 0.814457 0.117101i 0.277516 0.960721i \(-0.410489\pi\)
0.536941 + 0.843620i \(0.319580\pi\)
\(32\) 1.73829 + 0.510408i 0.307289 + 0.0902282i
\(33\) −0.206920 + 0.238799i −0.0360202 + 0.0415696i
\(34\) −0.753775 0.484422i −0.129271 0.0830776i
\(35\) 3.49433 + 9.70869i 0.590649 + 1.64107i
\(36\) −1.29432 + 1.49372i −0.215720 + 0.248954i
\(37\) 0.789895 2.69013i 0.129858 0.442255i −0.868736 0.495276i \(-0.835067\pi\)
0.998593 + 0.0530210i \(0.0168850\pi\)
\(38\) 0.167697 + 1.16636i 0.0272040 + 0.189208i
\(39\) −0.995794 1.14921i −0.159455 0.184021i
\(40\) 0.988067 + 2.16356i 0.156227 + 0.342090i
\(41\) −2.21110 7.53031i −0.345315 1.17604i −0.930854 0.365392i \(-0.880935\pi\)
0.585538 0.810645i \(-0.300883\pi\)
\(42\) −0.190356 0.358362i −0.0293726 0.0552964i
\(43\) −7.04710 1.01322i −1.07467 0.154515i −0.417817 0.908531i \(-0.637205\pi\)
−0.656855 + 0.754017i \(0.728114\pi\)
\(44\) 0.337641 + 0.525380i 0.0509013 + 0.0792040i
\(45\) −3.89998 −0.581375
\(46\) 0.568688 + 0.466492i 0.0838485 + 0.0687805i
\(47\) 8.31829i 1.21335i −0.794951 0.606674i \(-0.792503\pi\)
0.794951 0.606674i \(-0.207497\pi\)
\(48\) 2.08656 + 3.24675i 0.301169 + 0.468628i
\(49\) −6.94986 + 0.836365i −0.992837 + 0.119481i
\(50\) −0.650496 + 1.42439i −0.0919940 + 0.201439i
\(51\) −1.64592 5.60549i −0.230475 0.784925i
\(52\) −2.73387 + 1.24852i −0.379120 + 0.173138i
\(53\) −0.237530 + 0.205821i −0.0326273 + 0.0282717i −0.671022 0.741438i \(-0.734144\pi\)
0.638395 + 0.769709i \(0.279599\pi\)
\(54\) 0.151810 0.0218270i 0.0206587 0.00297027i
\(55\) −0.347179 + 1.18238i −0.0468137 + 0.159433i
\(56\) −1.58055 + 0.324811i −0.211210 + 0.0434047i
\(57\) −4.15375 + 6.46336i −0.550178 + 0.856093i
\(58\) −0.683075 0.438986i −0.0896921 0.0576416i
\(59\) 0.835725 + 0.724160i 0.108802 + 0.0942776i 0.707563 0.706650i \(-0.249795\pi\)
−0.598761 + 0.800928i \(0.704340\pi\)
\(60\) −2.17166 + 7.39599i −0.280360 + 0.954818i
\(61\) 0.591132 + 4.11141i 0.0756867 + 0.526413i 0.992028 + 0.126015i \(0.0402188\pi\)
−0.916342 + 0.400397i \(0.868872\pi\)
\(62\) −0.531023 + 0.460134i −0.0674400 + 0.0584371i
\(63\) 0.592130 2.57864i 0.0746014 0.324878i
\(64\) 7.13956 2.09637i 0.892446 0.262046i
\(65\) −5.39447 2.46357i −0.669102 0.305569i
\(66\) 0.00689680 0.0479683i 0.000848938 0.00590449i
\(67\) −7.91252 12.3121i −0.966668 1.50417i −0.860268 0.509842i \(-0.829704\pi\)
−0.106400 0.994323i \(-0.533932\pi\)
\(68\) −11.5468 −1.40026
\(69\) 0.810443 + 4.72686i 0.0975659 + 0.569047i
\(70\) −1.25588 0.962907i −0.150107 0.115089i
\(71\) −1.38621 + 0.890866i −0.164513 + 0.105726i −0.620307 0.784359i \(-0.712992\pi\)
0.455793 + 0.890086i \(0.349356\pi\)
\(72\) 0.0867944 0.603668i 0.0102288 0.0711430i
\(73\) 8.12885 + 3.71232i 0.951410 + 0.434495i 0.829786 0.558082i \(-0.188462\pi\)
0.121624 + 0.992576i \(0.461190\pi\)
\(74\) 0.121147 + 0.412588i 0.0140830 + 0.0479624i
\(75\) −9.28720 + 4.24132i −1.07239 + 0.489746i
\(76\) 9.94426 + 11.4763i 1.14068 + 1.31642i
\(77\) −0.729072 0.409073i −0.0830855 0.0466182i
\(78\) 0.223772 + 0.0657054i 0.0253372 + 0.00743967i
\(79\) 3.66239 + 3.17348i 0.412051 + 0.357044i 0.836083 0.548603i \(-0.184840\pi\)
−0.424032 + 0.905647i \(0.639386\pi\)
\(80\) 12.6623 + 8.13754i 1.41568 + 0.909804i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) 0.909687 + 0.788248i 0.100458 + 0.0870474i
\(83\) −5.94289 1.74499i −0.652317 0.191538i −0.0612029 0.998125i \(-0.519494\pi\)
−0.591114 + 0.806588i \(0.701312\pi\)
\(84\) −4.56045 2.55881i −0.497586 0.279189i
\(85\) −14.9205 17.2192i −1.61835 1.86768i
\(86\) 0.993258 0.453606i 0.107106 0.0489136i
\(87\) −1.49154 5.07972i −0.159910 0.544604i
\(88\) −0.175292 0.0800531i −0.0186862 0.00853369i
\(89\) 1.08210 7.52618i 0.114702 0.797773i −0.848538 0.529134i \(-0.822517\pi\)
0.963241 0.268639i \(-0.0865740\pi\)
\(90\) 0.503190 0.323381i 0.0530409 0.0340873i
\(91\) 2.44793 3.19274i 0.256613 0.334691i
\(92\) 9.41537 + 1.09516i 0.981621 + 0.114178i
\(93\) −4.58134 −0.475062
\(94\) 0.689741 + 1.07326i 0.0711414 + 0.110698i
\(95\) −4.26427 + 29.6586i −0.437504 + 3.04291i
\(96\) −1.64796 0.752597i −0.168194 0.0768116i
\(97\) 18.1980 5.34340i 1.84772 0.542540i 0.847797 0.530321i \(-0.177929\pi\)
0.999925 0.0122191i \(-0.00388957\pi\)
\(98\) 0.827347 0.684183i 0.0835747 0.0691130i
\(99\) 0.238799 0.206920i 0.0240002 0.0207963i
\(100\) 2.87185 + 19.9741i 0.287185 + 1.99741i
\(101\) −3.31144 + 11.2777i −0.329500 + 1.12217i 0.613587 + 0.789627i \(0.289726\pi\)
−0.943087 + 0.332547i \(0.892092\pi\)
\(102\) 0.677162 + 0.586764i 0.0670490 + 0.0580983i
\(103\) −5.19284 3.33724i −0.511666 0.328828i 0.259201 0.965823i \(-0.416541\pi\)
−0.770868 + 0.636995i \(0.780177\pi\)
\(104\) 0.501385 0.780170i 0.0491648 0.0765020i
\(105\) −2.07707 10.1072i −0.202701 0.986358i
\(106\) 0.0135807 0.0462515i 0.00131907 0.00449234i
\(107\) 1.77582 0.255324i 0.171675 0.0246831i −0.0559414 0.998434i \(-0.517816\pi\)
0.227616 + 0.973751i \(0.426907\pi\)
\(108\) 1.49372 1.29432i 0.143733 0.124546i
\(109\) 8.57293 3.91513i 0.821138 0.375001i 0.0398763 0.999205i \(-0.487304\pi\)
0.781262 + 0.624203i \(0.214576\pi\)
\(110\) −0.0532472 0.181343i −0.00507693 0.0172904i
\(111\) −1.16470 + 2.55034i −0.110548 + 0.242067i
\(112\) −7.30298 + 7.13668i −0.690067 + 0.674353i
\(113\) −9.35373 14.5547i −0.879925 1.36919i −0.928877 0.370388i \(-0.879225\pi\)
0.0489522 0.998801i \(-0.484412\pi\)
\(114\) 1.17835i 0.110363i
\(115\) 10.5331 + 15.4557i 0.982218 + 1.44126i
\(116\) −10.4638 −0.971541
\(117\) 0.822109 + 1.27923i 0.0760040 + 0.118265i
\(118\) −0.167875 0.0241367i −0.0154541 0.00222197i
\(119\) 13.6505 7.25095i 1.25134 0.664694i
\(120\) −0.670102 2.28216i −0.0611717 0.208332i
\(121\) 4.52809 + 9.91513i 0.411645 + 0.901376i
\(122\) −0.417183 0.481455i −0.0377699 0.0435888i
\(123\) 1.11692 + 7.76833i 0.100709 + 0.700447i
\(124\) −2.55106 + 8.68812i −0.229092 + 0.780216i
\(125\) −13.3057 + 15.3555i −1.19009 + 1.37344i
\(126\) 0.137418 + 0.381805i 0.0122422 + 0.0340139i
\(127\) 2.74020 + 1.76102i 0.243154 + 0.156265i 0.656542 0.754289i \(-0.272018\pi\)
−0.413388 + 0.910555i \(0.635655\pi\)
\(128\) −3.12014 + 3.60083i −0.275784 + 0.318271i
\(129\) 6.83117 + 2.00581i 0.601451 + 0.176602i
\(130\) 0.900291 0.129442i 0.0789608 0.0113528i
\(131\) 6.23455 5.40227i 0.544715 0.471999i −0.338500 0.940966i \(-0.609919\pi\)
0.883215 + 0.468968i \(0.155374\pi\)
\(132\) −0.259435 0.568083i −0.0225809 0.0494453i
\(133\) −18.9626 7.32254i −1.64427 0.634945i
\(134\) 2.04181 + 0.932462i 0.176385 + 0.0805525i
\(135\) 3.86028 + 0.555025i 0.332240 + 0.0477690i
\(136\) 2.99737 1.92629i 0.257022 0.165178i
\(137\) 21.9063i 1.87158i −0.352558 0.935790i \(-0.614688\pi\)
0.352558 0.935790i \(-0.385312\pi\)
\(138\) −0.496511 0.542677i −0.0422658 0.0461957i
\(139\) 3.29935i 0.279848i −0.990162 0.139924i \(-0.955314\pi\)
0.990162 0.139924i \(-0.0446857\pi\)
\(140\) −20.3240 1.68906i −1.71769 0.142752i
\(141\) −1.18382 + 8.23362i −0.0996953 + 0.693396i
\(142\) 0.104985 0.229886i 0.00881018 0.0192916i
\(143\) 0.461017 0.135367i 0.0385522 0.0113199i
\(144\) −1.60326 3.51065i −0.133605 0.292554i
\(145\) −13.5210 15.6041i −1.12286 1.29585i
\(146\) −1.35664 + 0.195055i −0.112276 + 0.0161429i
\(147\) 6.99814 + 0.161215i 0.577197 + 0.0132968i
\(148\) 4.18795 + 3.62888i 0.344248 + 0.298292i
\(149\) −4.45738 + 6.93582i −0.365163 + 0.568204i −0.974411 0.224776i \(-0.927835\pi\)
0.609248 + 0.792980i \(0.291471\pi\)
\(150\) 0.846586 1.31731i 0.0691235 0.107558i
\(151\) −6.04273 + 6.97369i −0.491751 + 0.567511i −0.946333 0.323194i \(-0.895243\pi\)
0.454582 + 0.890705i \(0.349789\pi\)
\(152\) −4.49588 1.32011i −0.364664 0.107075i
\(153\) 0.831423 + 5.78267i 0.0672165 + 0.467501i
\(154\) 0.127987 0.00767350i 0.0103135 0.000618349i
\(155\) −16.2525 + 7.42227i −1.30543 + 0.596171i
\(156\) 2.88373 0.846739i 0.230883 0.0677934i
\(157\) 2.32741 5.09631i 0.185747 0.406730i −0.793734 0.608265i \(-0.791866\pi\)
0.979481 + 0.201535i \(0.0645930\pi\)
\(158\) −0.735675 0.105774i −0.0585272 0.00841494i
\(159\) 0.264404 0.169922i 0.0209686 0.0134757i
\(160\) −7.06550 −0.558576
\(161\) −11.8185 + 4.61779i −0.931425 + 0.363933i
\(162\) −0.153371 −0.0120500
\(163\) 0.102066 0.0655936i 0.00799439 0.00513768i −0.536638 0.843813i \(-0.680306\pi\)
0.544632 + 0.838675i \(0.316669\pi\)
\(164\) 15.3539 + 2.20756i 1.19894 + 0.172382i
\(165\) 0.511917 1.12094i 0.0398526 0.0872651i
\(166\) 0.911467 0.267631i 0.0707436 0.0207722i
\(167\) 1.32577 0.605459i 0.102591 0.0468518i −0.363458 0.931610i \(-0.618404\pi\)
0.466050 + 0.884759i \(0.345677\pi\)
\(168\) 1.61069 0.0965690i 0.124267 0.00745046i
\(169\) −1.52102 10.5789i −0.117002 0.813764i
\(170\) 3.35289 + 0.984497i 0.257155 + 0.0755074i
\(171\) 5.03130 5.80643i 0.384753 0.444029i
\(172\) 7.60771 11.8378i 0.580083 0.902626i
\(173\) −7.08797 + 11.0291i −0.538889 + 0.838527i −0.998777 0.0494500i \(-0.984253\pi\)
0.459888 + 0.887977i \(0.347890\pi\)
\(174\) 0.613648 + 0.531729i 0.0465205 + 0.0403103i
\(175\) −15.9380 21.8098i −1.20480 1.64866i
\(176\) −1.20707 + 0.173551i −0.0909865 + 0.0130819i
\(177\) −0.724160 0.835725i −0.0544312 0.0628169i
\(178\) 0.484443 + 1.06078i 0.0363106 + 0.0795090i
\(179\) 21.0839 6.19079i 1.57588 0.462721i 0.627176 0.778877i \(-0.284211\pi\)
0.948707 + 0.316156i \(0.102392\pi\)
\(180\) 3.20211 7.01165i 0.238671 0.522617i
\(181\) −2.04479 + 14.2218i −0.151988 + 1.05710i 0.760894 + 0.648877i \(0.224761\pi\)
−0.912882 + 0.408224i \(0.866148\pi\)
\(182\) −0.0511040 + 0.614919i −0.00378808 + 0.0455809i
\(183\) 4.15369i 0.307050i
\(184\) −2.62677 + 1.28643i −0.193648 + 0.0948366i
\(185\) 10.9344i 0.803912i
\(186\) 0.591102 0.379878i 0.0433417 0.0278540i
\(187\) 1.82719 + 0.262710i 0.133617 + 0.0192112i
\(188\) 14.9552 + 6.82980i 1.09072 + 0.498115i
\(189\) −0.953082 + 2.46812i −0.0693265 + 0.179530i
\(190\) −1.90906 4.18026i −0.138498 0.303268i
\(191\) 9.91522 8.59159i 0.717440 0.621666i −0.217670 0.976022i \(-0.569846\pi\)
0.935110 + 0.354357i \(0.115300\pi\)
\(192\) −7.36524 + 1.05896i −0.531540 + 0.0764240i
\(193\) −2.63741 0.774414i −0.189845 0.0557436i 0.185428 0.982658i \(-0.440633\pi\)
−0.375273 + 0.926914i \(0.622451\pi\)
\(194\) −1.90490 + 2.19837i −0.136764 + 0.157834i
\(195\) 4.98896 + 3.20621i 0.357267 + 0.229601i
\(196\) 4.20256 13.1816i 0.300183 0.941544i
\(197\) 0.419424 0.484041i 0.0298827 0.0344865i −0.740611 0.671934i \(-0.765464\pi\)
0.770494 + 0.637447i \(0.220010\pi\)
\(198\) −0.0136532 + 0.0464986i −0.000970291 + 0.00330451i
\(199\) −3.03849 21.1331i −0.215393 1.49809i −0.754751 0.656012i \(-0.772242\pi\)
0.539358 0.842077i \(-0.318667\pi\)
\(200\) −4.07765 4.70586i −0.288333 0.332754i
\(201\) 6.07978 + 13.3129i 0.428835 + 0.939017i
\(202\) −0.507878 1.72967i −0.0357342 0.121699i
\(203\) 12.3702 6.57085i 0.868218 0.461184i
\(204\) 11.4293 + 1.64329i 0.800212 + 0.115053i
\(205\) 16.5479 + 25.7490i 1.15575 + 1.79839i
\(206\) 0.946720 0.0659611
\(207\) −0.129492 4.79408i −0.00900031 0.333212i
\(208\) 5.86871i 0.406922i
\(209\) −1.31249 2.04227i −0.0907866 0.141267i
\(210\) 1.10606 + 1.13184i 0.0763256 + 0.0781042i
\(211\) −3.98887 + 8.73440i −0.274605 + 0.601301i −0.995813 0.0914181i \(-0.970860\pi\)
0.721208 + 0.692719i \(0.243587\pi\)
\(212\) −0.175013 0.596039i −0.0120199 0.0409361i
\(213\) 1.49889 0.684519i 0.102702 0.0469025i
\(214\) −0.207951 + 0.180191i −0.0142153 + 0.0123176i
\(215\) 27.4835 3.95154i 1.87436 0.269493i
\(216\) −0.171822 + 0.585172i −0.0116910 + 0.0398159i
\(217\) −2.43995 11.8730i −0.165635 0.805989i
\(218\) −0.781476 + 1.21600i −0.0529282 + 0.0823579i
\(219\) −7.51779 4.83139i −0.508005 0.326475i
\(220\) −1.84072 1.59499i −0.124101 0.107534i
\(221\) −2.50282 + 8.52382i −0.168358 + 0.573374i
\(222\) −0.0611963 0.425630i −0.00410723 0.0285664i
\(223\) −13.0110 + 11.2741i −0.871284 + 0.754972i −0.970756 0.240068i \(-0.922830\pi\)
0.0994719 + 0.995040i \(0.468285\pi\)
\(224\) 1.07275 4.67166i 0.0716759 0.312138i
\(225\) 9.79628 2.87645i 0.653085 0.191763i
\(226\) 2.41371 + 1.10230i 0.160557 + 0.0733241i
\(227\) 1.70991 11.8927i 0.113491 0.789344i −0.850988 0.525185i \(-0.823996\pi\)
0.964479 0.264160i \(-0.0850946\pi\)
\(228\) −8.20979 12.7747i −0.543707 0.846024i
\(229\) −13.3906 −0.884875 −0.442437 0.896799i \(-0.645886\pi\)
−0.442437 + 0.896799i \(0.645886\pi\)
\(230\) −2.64059 1.12077i −0.174115 0.0739013i
\(231\) 0.663434 + 0.508667i 0.0436508 + 0.0334678i
\(232\) 2.71623 1.74562i 0.178329 0.114605i
\(233\) 2.54632 17.7101i 0.166815 1.16022i −0.718600 0.695423i \(-0.755217\pi\)
0.885415 0.464801i \(-0.153874\pi\)
\(234\) −0.212143 0.0968827i −0.0138682 0.00633342i
\(235\) 9.13974 + 31.1271i 0.596211 + 2.03051i
\(236\) −1.98812 + 0.907945i −0.129416 + 0.0591022i
\(237\) −3.17348 3.66239i −0.206139 0.237898i
\(238\) −1.16001 + 2.06743i −0.0751921 + 0.134012i
\(239\) 22.9840 + 6.74870i 1.48671 + 0.436537i 0.921490 0.388403i \(-0.126973\pi\)
0.565220 + 0.824940i \(0.308791\pi\)
\(240\) −11.3753 9.85674i −0.734271 0.636250i
\(241\) −1.64474 1.05701i −0.105947 0.0680882i 0.486594 0.873628i \(-0.338239\pi\)
−0.592542 + 0.805540i \(0.701875\pi\)
\(242\) −1.40638 0.903826i −0.0904056 0.0581001i
\(243\) −0.755750 0.654861i −0.0484814 0.0420093i
\(244\) −7.87713 2.31293i −0.504281 0.148070i
\(245\) 25.0874 10.7658i 1.60278 0.687805i
\(246\) −0.788248 0.909687i −0.0502569 0.0579995i
\(247\) 10.6272 4.85327i 0.676191 0.308806i
\(248\) −0.787174 2.68087i −0.0499856 0.170235i
\(249\) 5.63407 + 2.57299i 0.357044 + 0.163057i
\(250\) 0.443487 3.08452i 0.0280486 0.195082i
\(251\) 3.36454 2.16226i 0.212368 0.136481i −0.430133 0.902766i \(-0.641533\pi\)
0.642501 + 0.766285i \(0.277897\pi\)
\(252\) 4.14988 + 3.18178i 0.261418 + 0.200434i
\(253\) −1.46498 0.387514i −0.0921027 0.0243628i
\(254\) −0.499573 −0.0313460
\(255\) 12.3181 + 19.1673i 0.771388 + 1.20030i
\(256\) −2.01393 + 14.0072i −0.125870 + 0.875448i
\(257\) −23.5165 10.7396i −1.46692 0.669919i −0.487752 0.872982i \(-0.662183\pi\)
−0.979166 + 0.203063i \(0.934910\pi\)
\(258\) −1.04770 + 0.307633i −0.0652271 + 0.0191524i
\(259\) −7.22974 1.66016i −0.449234 0.103157i
\(260\) 8.85835 7.67580i 0.549372 0.476033i
\(261\) 0.753440 + 5.24029i 0.0466368 + 0.324366i
\(262\) −0.356457 + 1.21398i −0.0220220 + 0.0750001i
\(263\) 1.53497 + 1.33006i 0.0946504 + 0.0820150i 0.700901 0.713259i \(-0.252782\pi\)
−0.606250 + 0.795274i \(0.707327\pi\)
\(264\) 0.162115 + 0.104185i 0.00997749 + 0.00641214i
\(265\) 0.662693 1.03117i 0.0407089 0.0633443i
\(266\) 3.05381 0.627572i 0.187241 0.0384789i
\(267\) −2.14217 + 7.29557i −0.131099 + 0.446482i
\(268\) 28.6322 4.11669i 1.74899 0.251467i
\(269\) 0.766213 0.663927i 0.0467168 0.0404803i −0.631189 0.775629i \(-0.717433\pi\)
0.677906 + 0.735148i \(0.262888\pi\)
\(270\) −0.544091 + 0.248478i −0.0331123 + 0.0151219i
\(271\) −0.825145 2.81019i −0.0501240 0.170707i 0.930627 0.365969i \(-0.119262\pi\)
−0.980751 + 0.195262i \(0.937444\pi\)
\(272\) 9.36646 20.5097i 0.567925 1.24358i
\(273\) −2.87739 + 2.81187i −0.174148 + 0.170182i
\(274\) 1.81644 + 2.82643i 0.109735 + 0.170751i
\(275\) 3.22607i 0.194539i
\(276\) −9.16368 2.42396i −0.551589 0.145905i
\(277\) −16.1723 −0.971698 −0.485849 0.874043i \(-0.661490\pi\)
−0.485849 + 0.874043i \(0.661490\pi\)
\(278\) 0.273578 + 0.425695i 0.0164081 + 0.0255315i
\(279\) 4.53470 + 0.651992i 0.271486 + 0.0390337i
\(280\) 5.55754 2.95208i 0.332127 0.176420i
\(281\) 5.61439 + 19.1209i 0.334927 + 1.14065i 0.939055 + 0.343768i \(0.111703\pi\)
−0.604128 + 0.796887i \(0.706479\pi\)
\(282\) −0.529980 1.16049i −0.0315598 0.0691064i
\(283\) 8.87973 + 10.2478i 0.527845 + 0.609166i 0.955578 0.294740i \(-0.0952329\pi\)
−0.427733 + 0.903905i \(0.640687\pi\)
\(284\) −0.463496 3.22368i −0.0275034 0.191290i
\(285\) 8.44172 28.7499i 0.500044 1.70300i
\(286\) −0.0482578 + 0.0556924i −0.00285354 + 0.00329316i
\(287\) −19.5375 + 7.03189i −1.15326 + 0.415079i
\(288\) 1.52408 + 0.979465i 0.0898071 + 0.0577155i
\(289\) −11.2181 + 12.9464i −0.659890 + 0.761553i
\(290\) 3.03841 + 0.892156i 0.178421 + 0.0523892i
\(291\) −18.7732 + 2.69917i −1.10050 + 0.158228i
\(292\) −13.3485 + 11.5666i −0.781163 + 0.676882i
\(293\) −8.73339 19.1234i −0.510210 1.11720i −0.973015 0.230743i \(-0.925884\pi\)
0.462805 0.886460i \(-0.346843\pi\)
\(294\) −0.916295 + 0.559476i −0.0534394 + 0.0326293i
\(295\) −3.92296 1.79155i −0.228403 0.104308i
\(296\) −1.69251 0.243346i −0.0983750 0.0141442i
\(297\) −0.265816 + 0.170830i −0.0154242 + 0.00991254i
\(298\) 1.26449i 0.0732497i
\(299\) 2.84925 6.71300i 0.164777 0.388223i
\(300\) 20.1795i 1.16507i
\(301\) −1.56007 + 18.7719i −0.0899210 + 1.08199i
\(302\) 0.201408 1.40083i 0.0115898 0.0806085i
\(303\) 4.88272 10.6917i 0.280505 0.614220i
\(304\) −28.4508 + 8.35392i −1.63177 + 0.479130i
\(305\) −6.72944 14.7354i −0.385327 0.843747i
\(306\) −0.586764 0.677162i −0.0335431 0.0387108i
\(307\) −7.13795 + 1.02628i −0.407384 + 0.0585730i −0.342961 0.939350i \(-0.611430\pi\)
−0.0644232 + 0.997923i \(0.520521\pi\)
\(308\) 1.33407 0.974903i 0.0760157 0.0555502i
\(309\) 4.66505 + 4.04229i 0.265385 + 0.229958i
\(310\) 1.48152 2.30528i 0.0841445 0.130931i
\(311\) 2.05398 3.19605i 0.116470 0.181232i −0.778124 0.628111i \(-0.783828\pi\)
0.894594 + 0.446879i \(0.147465\pi\)
\(312\) −0.607311 + 0.700874i −0.0343822 + 0.0396792i
\(313\) 10.7417 + 3.15405i 0.607156 + 0.178277i 0.570838 0.821063i \(-0.306619\pi\)
0.0363189 + 0.999340i \(0.488437\pi\)
\(314\) 0.122288 + 0.850531i 0.00690110 + 0.0479982i
\(315\) 0.617531 + 10.2999i 0.0347939 + 0.580333i
\(316\) −8.71252 + 3.97887i −0.490118 + 0.223829i
\(317\) −10.1207 + 2.97171i −0.568437 + 0.166908i −0.553307 0.832977i \(-0.686634\pi\)
−0.0151298 + 0.999886i \(0.504816\pi\)
\(318\) −0.0200247 + 0.0438480i −0.00112293 + 0.00245887i
\(319\) 1.65581 + 0.238069i 0.0927074 + 0.0133293i
\(320\) −24.4129 + 15.6892i −1.36472 + 0.877054i
\(321\) −1.79408 −0.100136
\(322\) 1.14196 1.57578i 0.0636391 0.0878145i
\(323\) 44.8852 2.49748
\(324\) −1.66272 + 1.06856i −0.0923733 + 0.0593647i
\(325\) 15.3673 + 2.20948i 0.852423 + 0.122560i
\(326\) −0.00772997 + 0.0169263i −0.000428123 + 0.000937459i
\(327\) −9.04285 + 2.65522i −0.500071 + 0.146834i
\(328\) −4.35390 + 1.98836i −0.240404 + 0.109789i
\(329\) −21.9687 + 1.31713i −1.21117 + 0.0726160i
\(330\) 0.0268974 + 0.187076i 0.00148065 + 0.0102982i
\(331\) −33.0847 9.71454i −1.81850 0.533959i −0.819276 0.573399i \(-0.805625\pi\)
−0.999222 + 0.0394396i \(0.987443\pi\)
\(332\) 8.01672 9.25179i 0.439975 0.507758i
\(333\) 1.51580 2.35863i 0.0830651 0.129252i
\(334\) −0.120852 + 0.188050i −0.00661274 + 0.0102896i
\(335\) 43.1366 + 37.3781i 2.35681 + 2.04218i
\(336\) 8.24430 6.02472i 0.449764 0.328675i
\(337\) 32.9372 4.73565i 1.79420 0.257968i 0.836963 0.547260i \(-0.184329\pi\)
0.957241 + 0.289292i \(0.0934199\pi\)
\(338\) 1.07344 + 1.23881i 0.0583873 + 0.0673826i
\(339\) 7.18717 + 15.7377i 0.390354 + 0.854755i
\(340\) 43.2083 12.6871i 2.34330 0.688055i
\(341\) 0.601352 1.31678i 0.0325650 0.0713075i
\(342\) −0.167697 + 1.16636i −0.00906801 + 0.0630694i
\(343\) 3.30930 + 18.2222i 0.178686 + 0.983906i
\(344\) 4.34205i 0.234108i
\(345\) −8.22632 16.7974i −0.442890 0.904344i
\(346\) 2.01074i 0.108098i
\(347\) 5.88422 3.78156i 0.315882 0.203005i −0.373086 0.927797i \(-0.621700\pi\)
0.688968 + 0.724792i \(0.258064\pi\)
\(348\) 10.3573 + 1.48916i 0.555210 + 0.0798272i
\(349\) −17.4085 7.95020i −0.931856 0.425564i −0.109146 0.994026i \(-0.534812\pi\)
−0.822710 + 0.568461i \(0.807539\pi\)
\(350\) 3.86482 + 1.49242i 0.206583 + 0.0797735i
\(351\) −0.631688 1.38320i −0.0337170 0.0738300i
\(352\) 0.432626 0.374873i 0.0230590 0.0199808i
\(353\) 18.1844 2.61453i 0.967860 0.139157i 0.359784 0.933036i \(-0.382850\pi\)
0.608076 + 0.793878i \(0.291941\pi\)
\(354\) 0.162731 + 0.0477821i 0.00864905 + 0.00253959i
\(355\) 4.20838 4.85673i 0.223358 0.257768i
\(356\) 12.6426 + 8.12490i 0.670056 + 0.430619i
\(357\) −14.5435 + 5.23447i −0.769725 + 0.277038i
\(358\) −2.20699 + 2.54700i −0.116643 + 0.134613i
\(359\) 5.72462 19.4962i 0.302134 1.02897i −0.658829 0.752293i \(-0.728948\pi\)
0.960962 0.276680i \(-0.0892341\pi\)
\(360\) 0.338497 + 2.35430i 0.0178403 + 0.124082i
\(361\) −26.2132 30.2517i −1.37964 1.59219i
\(362\) −0.915428 2.00451i −0.0481138 0.105355i
\(363\) −3.07093 10.4586i −0.161182 0.548935i
\(364\) 3.73023 + 7.02249i 0.195517 + 0.368078i
\(365\) −34.4971 4.95994i −1.80566 0.259615i
\(366\) 0.344418 + 0.535925i 0.0180030 + 0.0280133i
\(367\) 5.10405 0.266429 0.133215 0.991087i \(-0.457470\pi\)
0.133215 + 0.991087i \(0.457470\pi\)
\(368\) −9.58271 + 15.8354i −0.499533 + 0.825476i
\(369\) 7.84821i 0.408562i
\(370\) −0.906664 1.41080i −0.0471352 0.0733438i
\(371\) 0.581187 + 0.594729i 0.0301737 + 0.0308768i
\(372\) 3.76154 8.23663i 0.195027 0.427049i
\(373\) 2.72457 + 9.27905i 0.141073 + 0.480451i 0.999471 0.0325342i \(-0.0103578\pi\)
−0.858397 + 0.512985i \(0.828540\pi\)
\(374\) −0.257534 + 0.117612i −0.0133168 + 0.00608157i
\(375\) 15.3555 13.3057i 0.792957 0.687101i
\(376\) −5.02149 + 0.721981i −0.258964 + 0.0372333i
\(377\) −2.26807 + 7.72433i −0.116811 + 0.397823i
\(378\) −0.0816831 0.397475i −0.00420132 0.0204439i
\(379\) −10.1725 + 15.8287i −0.522526 + 0.813066i −0.997767 0.0667894i \(-0.978724\pi\)
0.475241 + 0.879856i \(0.342361\pi\)
\(380\) −49.8210 32.0180i −2.55577 1.64249i
\(381\) −2.46169 2.13307i −0.126116 0.109280i
\(382\) −0.566898 + 1.93068i −0.0290050 + 0.0987820i
\(383\) 1.40157 + 9.74814i 0.0716169 + 0.498107i 0.993785 + 0.111317i \(0.0355069\pi\)
−0.922168 + 0.386790i \(0.873584\pi\)
\(384\) 3.60083 3.12014i 0.183754 0.159224i
\(385\) 3.17766 + 0.729683i 0.161949 + 0.0371881i
\(386\) 0.404502 0.118773i 0.0205886 0.00604537i
\(387\) −6.47618 2.95757i −0.329203 0.150342i
\(388\) −5.33486 + 37.1047i −0.270836 + 1.88371i
\(389\) −13.1719 20.4959i −0.667842 1.03918i −0.995535 0.0943975i \(-0.969908\pi\)
0.327693 0.944784i \(-0.393729\pi\)
\(390\) −0.909549 −0.0460568
\(391\) 20.6714 18.9129i 1.04540 0.956465i
\(392\) 1.10810 + 4.12282i 0.0559673 + 0.208234i
\(393\) −6.93992 + 4.46001i −0.350072 + 0.224978i
\(394\) −0.0139797 + 0.0972309i −0.000704287 + 0.00489842i
\(395\) −17.1915 7.85111i −0.864999 0.395032i
\(396\) 0.175948 + 0.599223i 0.00884170 + 0.0301121i
\(397\) 18.0218 8.23027i 0.904487 0.413065i 0.0918078 0.995777i \(-0.470735\pi\)
0.812679 + 0.582711i \(0.198008\pi\)
\(398\) 2.14437 + 2.47473i 0.107487 + 0.124047i
\(399\) 17.7275 + 9.94667i 0.887486 + 0.497956i
\(400\) −37.8079 11.1014i −1.89040 0.555070i
\(401\) −0.260144 0.225416i −0.0129910 0.0112567i 0.648341 0.761350i \(-0.275463\pi\)
−0.661332 + 0.750093i \(0.730009\pi\)
\(402\) −1.88832 1.21355i −0.0941809 0.0605264i
\(403\) 5.86057 + 3.76636i 0.291936 + 0.187616i
\(404\) −17.5569 15.2132i −0.873491 0.756884i
\(405\) −3.74200 1.09875i −0.185942 0.0545974i
\(406\) −1.05121 + 1.87352i −0.0521705 + 0.0929811i
\(407\) −0.580144 0.669522i −0.0287567 0.0331870i
\(408\) −3.24100 + 1.48011i −0.160453 + 0.0732766i
\(409\) −4.68515 15.9562i −0.231666 0.788981i −0.990478 0.137672i \(-0.956038\pi\)
0.758812 0.651310i \(-0.225780\pi\)
\(410\) −4.27014 1.95011i −0.210887 0.0963089i
\(411\) −3.11759 + 21.6833i −0.153779 + 1.06956i
\(412\) 10.2635 6.59598i 0.505648 0.324960i
\(413\) 1.78018 2.32182i 0.0875970 0.114249i
\(414\) 0.414226 + 0.607814i 0.0203581 + 0.0298724i
\(415\) 24.1556 1.18575
\(416\) 1.48939 + 2.31754i 0.0730236 + 0.113627i
\(417\) −0.469547 + 3.26577i −0.0229938 + 0.159925i
\(418\) 0.338684 + 0.154672i 0.0165656 + 0.00756525i
\(419\) −18.9086 + 5.55205i −0.923744 + 0.271236i −0.708815 0.705394i \(-0.750770\pi\)
−0.214928 + 0.976630i \(0.568952\pi\)
\(420\) 19.8767 + 4.56427i 0.969885 + 0.222714i
\(421\) −10.2287 + 8.86318i −0.498514 + 0.431965i −0.867476 0.497480i \(-0.834259\pi\)
0.368961 + 0.929445i \(0.379713\pi\)
\(422\) −0.209585 1.45770i −0.0102024 0.0709596i
\(423\) 2.34353 7.98134i 0.113947 0.388066i
\(424\) 0.144864 + 0.125525i 0.00703522 + 0.00609605i
\(425\) 50.1785 + 32.2478i 2.43402 + 1.56425i
\(426\) −0.136633 + 0.212605i −0.00661989 + 0.0103007i
\(427\) 10.7647 2.21219i 0.520939 0.107056i
\(428\) −0.999010 + 3.40232i −0.0482890 + 0.164457i
\(429\) −0.475589 + 0.0683794i −0.0229617 + 0.00330139i
\(430\) −3.21838 + 2.78874i −0.155204 + 0.134485i
\(431\) −31.0510 + 14.1805i −1.49567 + 0.683051i −0.984332 0.176328i \(-0.943578\pi\)
−0.511341 + 0.859378i \(0.670851\pi\)
\(432\) 1.08732 + 3.70308i 0.0523139 + 0.178165i
\(433\) −11.1572 + 24.4308i −0.536179 + 1.17407i 0.426764 + 0.904363i \(0.359653\pi\)
−0.962943 + 0.269705i \(0.913074\pi\)
\(434\) 1.29930 + 1.32958i 0.0623684 + 0.0638217i
\(435\) 11.1627 + 17.3695i 0.535211 + 0.832805i
\(436\) 18.6275i 0.892098i
\(437\) −36.5997 4.25712i −1.75080 0.203646i
\(438\) 1.37059 0.0654892
\(439\) 10.2641 + 15.9713i 0.489880 + 0.762268i 0.994903 0.100838i \(-0.0321524\pi\)
−0.505023 + 0.863106i \(0.668516\pi\)
\(440\) 0.743902 + 0.106957i 0.0354641 + 0.00509897i
\(441\) −6.90397 1.15551i −0.328760 0.0550245i
\(442\) −0.383860 1.30731i −0.0182583 0.0621822i
\(443\) −1.64179 3.59501i −0.0780036 0.170804i 0.866612 0.498982i \(-0.166293\pi\)
−0.944616 + 0.328178i \(0.893565\pi\)
\(444\) −3.62888 4.18795i −0.172219 0.198751i
\(445\) 4.22017 + 29.3519i 0.200055 + 1.39142i
\(446\) 0.743900 2.53349i 0.0352247 0.119964i
\(447\) 5.39908 6.23087i 0.255368 0.294710i
\(448\) −6.66701 18.5237i −0.314987 0.875163i
\(449\) −6.44486 4.14186i −0.304152 0.195467i 0.379658 0.925127i \(-0.376042\pi\)
−0.683810 + 0.729660i \(0.739678\pi\)
\(450\) −1.02544 + 1.18342i −0.0483398 + 0.0557871i
\(451\) −2.37940 0.698654i −0.112042 0.0328984i
\(452\) 33.8473 4.86651i 1.59205 0.228902i
\(453\) 6.97369 6.04273i 0.327652 0.283912i
\(454\) 0.765505 + 1.67622i 0.0359269 + 0.0786690i
\(455\) −5.65215 + 14.6369i −0.264977 + 0.686190i
\(456\) 4.26225 + 1.94650i 0.199598 + 0.0911534i
\(457\) 24.8361 + 3.57089i 1.16178 + 0.167039i 0.696122 0.717923i \(-0.254907\pi\)
0.465662 + 0.884963i \(0.345816\pi\)
\(458\) 1.72770 1.11033i 0.0807303 0.0518822i
\(459\) 5.84214i 0.272688i
\(460\) −36.4357 + 6.24707i −1.69882 + 0.291271i
\(461\) 20.4941i 0.954504i 0.878766 + 0.477252i \(0.158367\pi\)
−0.878766 + 0.477252i \(0.841633\pi\)
\(462\) −0.127777 0.0106191i −0.00594472 0.000494046i
\(463\) −2.11065 + 14.6799i −0.0980904 + 0.682234i 0.880140 + 0.474714i \(0.157448\pi\)
−0.978231 + 0.207520i \(0.933461\pi\)
\(464\) 8.48794 18.5860i 0.394043 0.862833i
\(465\) 17.1434 5.03375i 0.795005 0.233435i
\(466\) 1.13996 + 2.49616i 0.0528075 + 0.115632i
\(467\) 6.73405 + 7.77150i 0.311615 + 0.359622i 0.889855 0.456244i \(-0.150806\pi\)
−0.578240 + 0.815867i \(0.696260\pi\)
\(468\) −2.97488 + 0.427723i −0.137514 + 0.0197715i
\(469\) −31.2635 + 22.8466i −1.44362 + 1.05496i
\(470\) −3.76026 3.25828i −0.173448 0.150293i
\(471\) −3.02900 + 4.71321i −0.139569 + 0.217173i
\(472\) 0.364616 0.567354i 0.0167828 0.0261146i
\(473\) −1.47318 + 1.70014i −0.0677371 + 0.0781727i
\(474\) 0.713134 + 0.209395i 0.0327553 + 0.00961783i
\(475\) −11.1635 77.6440i −0.512217 3.56255i
\(476\) 1.82835 + 30.4953i 0.0838023 + 1.39775i
\(477\) −0.285895 + 0.130564i −0.0130902 + 0.00597811i
\(478\) −3.52507 + 1.03506i −0.161233 + 0.0473423i
\(479\) −9.96378 + 21.8176i −0.455257 + 0.996873i 0.533286 + 0.845935i \(0.320957\pi\)
−0.988543 + 0.150938i \(0.951770\pi\)
\(480\) 6.99358 + 1.00552i 0.319212 + 0.0458957i
\(481\) 3.58657 2.30495i 0.163534 0.105097i
\(482\) 0.299857 0.0136581
\(483\) 12.3553 2.88885i 0.562188 0.131447i
\(484\) −21.5439 −0.979269
\(485\) −62.2257 + 39.9901i −2.82553 + 1.81585i
\(486\) 0.151810 + 0.0218270i 0.00688623 + 0.000990091i
\(487\) −16.8700 + 36.9401i −0.764452 + 1.67392i −0.0259518 + 0.999663i \(0.508262\pi\)
−0.738500 + 0.674253i \(0.764466\pi\)
\(488\) 2.43062 0.713695i 0.110029 0.0323075i
\(489\) −0.110362 + 0.0504005i −0.00499072 + 0.00227919i
\(490\) −2.34419 + 3.46927i −0.105900 + 0.156725i
\(491\) 5.61128 + 39.0273i 0.253234 + 1.76128i 0.578525 + 0.815665i \(0.303629\pi\)
−0.325291 + 0.945614i \(0.605462\pi\)
\(492\) −14.8835 4.37018i −0.670999 0.197023i
\(493\) −20.2544 + 23.3748i −0.912211 + 1.05275i
\(494\) −0.968733 + 1.50738i −0.0435854 + 0.0678202i
\(495\) −0.666232 + 1.03668i −0.0299449 + 0.0465952i
\(496\) −13.3626 11.5788i −0.600000 0.519903i
\(497\) 2.57228 + 3.51994i 0.115383 + 0.157891i
\(498\) −0.940278 + 0.135192i −0.0421349 + 0.00605808i
\(499\) 19.2552 + 22.2217i 0.861980 + 0.994778i 0.999991 + 0.00434705i \(0.00138371\pi\)
−0.138011 + 0.990431i \(0.544071\pi\)
\(500\) −16.6825 36.5296i −0.746065 1.63365i
\(501\) −1.39844 + 0.410620i −0.0624778 + 0.0183451i
\(502\) −0.254815 + 0.557966i −0.0113729 + 0.0249033i
\(503\) 1.60036 11.1308i 0.0713567 0.496297i −0.922533 0.385918i \(-0.873885\pi\)
0.993890 0.110378i \(-0.0352063\pi\)
\(504\) −1.60804 0.133639i −0.0716277 0.00595274i
\(505\) 45.8397i 2.03984i
\(506\) 0.221150 0.0714758i 0.00983131 0.00317749i
\(507\) 10.6877i 0.474658i
\(508\) −5.41595 + 3.48062i −0.240294 + 0.154428i
\(509\) 29.6469 + 4.26258i 1.31408 + 0.188936i 0.763478 0.645834i \(-0.223490\pi\)
0.550599 + 0.834770i \(0.314399\pi\)
\(510\) −3.17865 1.45164i −0.140753 0.0642798i
\(511\) 8.51714 22.0562i 0.376776 0.975708i
\(512\) −4.86017 10.6423i −0.214791 0.470327i
\(513\) −5.80643 + 5.03130i −0.256360 + 0.222137i
\(514\) 3.92470 0.564287i 0.173111 0.0248896i
\(515\) 23.0984 + 6.78231i 1.01784 + 0.298864i
\(516\) −9.21497 + 10.6346i −0.405667 + 0.468164i
\(517\) −2.21114 1.42101i −0.0972457 0.0624960i
\(518\) 1.07047 0.385280i 0.0470336 0.0169282i
\(519\) 8.58543 9.90812i 0.376859 0.434918i
\(520\) −1.01897 + 3.47030i −0.0446848 + 0.152183i
\(521\) −0.236360 1.64392i −0.0103551 0.0720214i 0.983989 0.178231i \(-0.0570375\pi\)
−0.994344 + 0.106210i \(0.966128\pi\)
\(522\) −0.531729 0.613648i −0.0232732 0.0268586i
\(523\) −17.1434 37.5389i −0.749631 1.64146i −0.767028 0.641613i \(-0.778265\pi\)
0.0173976 0.999849i \(-0.494462\pi\)
\(524\) 4.59363 + 15.6445i 0.200674 + 0.683432i
\(525\) 12.6719 + 23.8560i 0.553048 + 1.04116i
\(526\) −0.308335 0.0443318i −0.0134440 0.00193296i
\(527\) 14.4701 + 22.5160i 0.630329 + 0.980811i
\(528\) 1.21948 0.0530713
\(529\) −18.6494 + 13.4611i −0.810842 + 0.585265i
\(530\) 0.187995i 0.00816599i
\(531\) 0.597853 + 0.930277i 0.0259446 + 0.0403706i
\(532\) 28.7344 28.0801i 1.24579 1.21742i
\(533\) 4.95763 10.8557i 0.214739 0.470212i
\(534\) −0.328547 1.11893i −0.0142176 0.0484208i
\(535\) −6.36457 + 2.90660i −0.275164 + 0.125663i
\(536\) −6.74568 + 5.84516i −0.291369 + 0.252473i
\(537\) −21.7503 + 3.12722i −0.938596 + 0.134950i
\(538\) −0.0438078 + 0.149196i −0.00188869 + 0.00643228i
\(539\) −0.964922 + 1.99026i −0.0415621 + 0.0857266i
\(540\) −4.16738 + 6.48457i −0.179335 + 0.279051i
\(541\) −2.59298 1.66641i −0.111481 0.0716446i 0.483712 0.875227i \(-0.339288\pi\)
−0.595193 + 0.803583i \(0.702925\pi\)
\(542\) 0.339480 + 0.294161i 0.0145819 + 0.0126353i
\(543\) 4.04796 13.7861i 0.173714 0.591617i
\(544\) 1.50627 + 10.4763i 0.0645807 + 0.449168i
\(545\) −27.7782 + 24.0699i −1.18989 + 1.03104i
\(546\) 0.138096 0.601388i 0.00590996 0.0257370i
\(547\) 1.70078 0.499393i 0.0727200 0.0213525i −0.245170 0.969480i \(-0.578844\pi\)
0.317890 + 0.948128i \(0.397026\pi\)
\(548\) 39.3846 + 17.9863i 1.68243 + 0.768338i
\(549\) −0.591132 + 4.11141i −0.0252289 + 0.175471i
\(550\) 0.267501 + 0.416240i 0.0114063 + 0.0177485i
\(551\) 40.6752 1.73282
\(552\) 2.78311 0.899504i 0.118457 0.0382854i
\(553\) 7.80127 10.1749i 0.331744 0.432680i
\(554\) 2.08661 1.34098i 0.0886516 0.0569729i
\(555\) 1.55613 10.8231i 0.0660539 0.459415i
\(556\) 5.93180 + 2.70896i 0.251564 + 0.114886i
\(557\) −4.17107 14.2054i −0.176734 0.601900i −0.999441 0.0334347i \(-0.989355\pi\)
0.822707 0.568466i \(-0.192463\pi\)
\(558\) −0.639147 + 0.291889i −0.0270573 + 0.0123566i
\(559\) −7.08962 8.18186i −0.299859 0.346056i
\(560\) 19.4863 34.7296i 0.823448 1.46760i
\(561\) −1.77120 0.520072i −0.0747802 0.0219574i
\(562\) −2.30987 2.00151i −0.0974358 0.0844286i
\(563\) −2.89841 1.86269i −0.122153 0.0785032i 0.478137 0.878285i \(-0.341312\pi\)
−0.600291 + 0.799782i \(0.704948\pi\)
\(564\) −13.8310 8.88863i −0.582389 0.374279i
\(565\) 50.9937 + 44.1863i 2.14532 + 1.85893i
\(566\) −1.99543 0.585910i −0.0838740 0.0246276i
\(567\) 1.29463 2.30736i 0.0543694 0.0969002i
\(568\) 0.658103 + 0.759492i 0.0276134 + 0.0318676i
\(569\) 24.5111 11.1938i 1.02756 0.469270i 0.170973 0.985276i \(-0.445309\pi\)
0.856585 + 0.516005i \(0.172582\pi\)
\(570\) 1.29471 + 4.40939i 0.0542296 + 0.184689i
\(571\) 13.8887 + 6.34274i 0.581223 + 0.265436i 0.684255 0.729242i \(-0.260127\pi\)
−0.103033 + 0.994678i \(0.532855\pi\)
\(572\) −0.135150 + 0.939992i −0.00565092 + 0.0393030i
\(573\) −11.0370 + 7.09306i −0.461078 + 0.296317i
\(574\) 1.93773 2.52730i 0.0808792 0.105488i
\(575\) −37.8573 31.0542i −1.57876 1.29505i
\(576\) 7.44098 0.310041
\(577\) −6.12698 9.53377i −0.255070 0.396896i 0.689977 0.723831i \(-0.257621\pi\)
−0.945047 + 0.326935i \(0.893984\pi\)
\(578\) 0.373908 2.60059i 0.0155525 0.108170i
\(579\) 2.50036 + 1.14187i 0.103911 + 0.0474547i
\(580\) 39.1557 11.4971i 1.62585 0.477393i
\(581\) −3.66753 + 15.9715i −0.152155 + 0.662611i
\(582\) 2.19837 1.90490i 0.0911256 0.0789608i
\(583\) 0.0141334 + 0.0982998i 0.000585344 + 0.00407116i
\(584\) 1.53547 5.22934i 0.0635383 0.216392i
\(585\) −4.48189 3.88358i −0.185303 0.160566i
\(586\) 2.71250 + 1.74322i 0.112053 + 0.0720118i
\(587\) −7.21304 + 11.2237i −0.297714 + 0.463252i −0.957595 0.288118i \(-0.906970\pi\)
0.659881 + 0.751370i \(0.270607\pi\)
\(588\) −6.03573 + 12.4494i −0.248909 + 0.513403i
\(589\) 9.91655 33.7727i 0.408604 1.39158i
\(590\) 0.654708 0.0941328i 0.0269539 0.00387539i
\(591\) −0.484041 + 0.419424i −0.0199108 + 0.0172528i
\(592\) −9.84282 + 4.49507i −0.404537 + 0.184746i
\(593\) −9.41855 32.0766i −0.386773 1.31723i −0.891136 0.453737i \(-0.850091\pi\)
0.504362 0.863492i \(-0.331728\pi\)
\(594\) 0.0201317 0.0440822i 0.000826012 0.00180872i
\(595\) −43.1134 + 42.1317i −1.76748 + 1.72723i
\(596\) −8.80991 13.7085i −0.360868 0.561522i
\(597\) 21.3505i 0.873816i
\(598\) 0.189011 + 1.10239i 0.00772922 + 0.0450802i
\(599\) 3.92761 0.160478 0.0802389 0.996776i \(-0.474432\pi\)
0.0802389 + 0.996776i \(0.474432\pi\)
\(600\) 3.36643 + 5.23827i 0.137434 + 0.213851i
\(601\) 18.1571 + 2.61060i 0.740645 + 0.106489i 0.502302 0.864692i \(-0.332487\pi\)
0.238343 + 0.971181i \(0.423396\pi\)
\(602\) −1.35525 2.55138i −0.0552359 0.103986i
\(603\) −4.12328 14.0426i −0.167913 0.571859i
\(604\) −7.57632 16.5898i −0.308276 0.675031i
\(605\) −27.8384 32.1272i −1.13179 1.30616i
\(606\) 0.256550 + 1.78435i 0.0104216 + 0.0724841i
\(607\) 9.63264 32.8057i 0.390977 1.33154i −0.495434 0.868645i \(-0.664991\pi\)
0.886411 0.462899i \(-0.153191\pi\)
\(608\) 9.11509 10.5194i 0.369666 0.426617i
\(609\) −13.1794 + 4.74351i −0.534057 + 0.192217i
\(610\) 2.09010 + 1.34322i 0.0846256 + 0.0543856i
\(611\) 8.28331 9.55945i 0.335107 0.386734i
\(612\) −11.0791 3.25312i −0.447847 0.131500i
\(613\) −3.90188 + 0.561006i −0.157595 + 0.0226588i −0.220661 0.975351i \(-0.570821\pi\)
0.0630654 + 0.998009i \(0.479912\pi\)
\(614\) 0.835867 0.724283i 0.0337329 0.0292297i
\(615\) −12.7150 27.8419i −0.512717 1.12269i
\(616\) −0.183665 + 0.475623i −0.00740007 + 0.0191634i
\(617\) 37.6375 + 17.1885i 1.51523 + 0.691982i 0.987527 0.157447i \(-0.0503265\pi\)
0.527702 + 0.849430i \(0.323054\pi\)
\(618\) −0.937084 0.134732i −0.0376950 0.00541973i
\(619\) 23.0166 14.7919i 0.925115 0.594535i 0.0109778 0.999940i \(-0.496506\pi\)
0.914138 + 0.405404i \(0.132869\pi\)
\(620\) 35.3140i 1.41824i
\(621\) −0.554095 + 4.76371i −0.0222351 + 0.191161i
\(622\) 0.582680i 0.0233633i
\(623\) −20.0480 1.66613i −0.803208 0.0667520i
\(624\) −0.835204 + 5.80897i −0.0334349 + 0.232545i
\(625\) 11.7113 25.6441i 0.468451 1.02576i
\(626\) −1.64746 + 0.483739i −0.0658459 + 0.0193341i
\(627\) 1.00848 + 2.20827i 0.0402749 + 0.0881897i
\(628\) 7.25155 + 8.36874i 0.289368 + 0.333949i
\(629\) 16.2129 2.33106i 0.646451 0.0929456i
\(630\) −0.933728 1.27773i −0.0372006 0.0509058i
\(631\) −27.4594 23.7937i −1.09314 0.947213i −0.0943108 0.995543i \(-0.530065\pi\)
−0.998831 + 0.0483296i \(0.984610\pi\)
\(632\) 1.59785 2.48631i 0.0635592 0.0989000i
\(633\) 5.19130 8.07782i 0.206336 0.321064i
\(634\) 1.05940 1.22262i 0.0420743 0.0485564i
\(635\) −12.1888 3.57895i −0.483697 0.142026i
\(636\) 0.0884063 + 0.614879i 0.00350554 + 0.0243815i
\(637\) −8.81968 5.95947i −0.349448 0.236123i
\(638\) −0.233379 + 0.106581i −0.00923956 + 0.00421957i
\(639\) −1.58105 + 0.464238i −0.0625453 + 0.0183650i
\(640\) 7.71914 16.9026i 0.305126 0.668133i
\(641\) 28.0494 + 4.03289i 1.10788 + 0.159290i 0.671883 0.740657i \(-0.265486\pi\)
0.436000 + 0.899947i \(0.356395\pi\)
\(642\) 0.231479 0.148762i 0.00913573 0.00587118i
\(643\) −19.9096 −0.785158 −0.392579 0.919718i \(-0.628417\pi\)
−0.392579 + 0.919718i \(0.628417\pi\)
\(644\) 1.40147 25.0395i 0.0552257 0.986694i
\(645\) −27.7662 −1.09329
\(646\) −5.79126 + 3.72182i −0.227854 + 0.146433i
\(647\) −15.6964 2.25680i −0.617089 0.0887240i −0.173320 0.984866i \(-0.555450\pi\)
−0.443768 + 0.896142i \(0.646359\pi\)
\(648\) 0.253352 0.554763i 0.00995259 0.0217931i
\(649\) 0.335260 0.0984412i 0.0131601 0.00386416i
\(650\) −2.16595 + 0.989157i −0.0849556 + 0.0387979i
\(651\) 0.725418 + 12.0993i 0.0284314 + 0.474211i
\(652\) 0.0341267 + 0.237356i 0.00133650 + 0.00929560i
\(653\) −2.02618 0.594939i −0.0792904 0.0232818i 0.241847 0.970314i \(-0.422247\pi\)
−0.321137 + 0.947033i \(0.604065\pi\)
\(654\) 0.946577 1.09241i 0.0370141 0.0427165i
\(655\) −17.3940 + 27.0655i −0.679638 + 1.05754i
\(656\) −16.3758 + 25.4812i −0.639366 + 0.994873i
\(657\) 6.75370 + 5.85211i 0.263487 + 0.228313i
\(658\) 2.72527 1.99155i 0.106242 0.0776389i
\(659\) −1.85554 + 0.266787i −0.0722817 + 0.0103925i −0.178361 0.983965i \(-0.557079\pi\)
0.106079 + 0.994358i \(0.466170\pi\)
\(660\) 1.59499 + 1.84072i 0.0620849 + 0.0716498i
\(661\) −1.37331 3.00712i −0.0534154 0.116963i 0.881042 0.473037i \(-0.156842\pi\)
−0.934458 + 0.356074i \(0.884115\pi\)
\(662\) 5.07423 1.48993i 0.197215 0.0579077i
\(663\) 3.69041 8.08087i 0.143324 0.313835i
\(664\) −0.537586 + 3.73899i −0.0208624 + 0.145101i
\(665\) 79.0039 + 6.56576i 3.06364 + 0.254609i
\(666\) 0.430007i 0.0166624i
\(667\) 18.7325 17.1389i 0.725326 0.663623i
\(668\) 2.88068i 0.111457i
\(669\) 14.4831 9.30772i 0.559949 0.359857i
\(670\) −8.66500 1.24584i −0.334758 0.0481309i
\(671\) 1.19386 + 0.545219i 0.0460886 + 0.0210479i
\(672\) −1.72667 + 4.47144i −0.0666079 + 0.172489i
\(673\) 4.91787 + 10.7686i 0.189570 + 0.415100i 0.980422 0.196907i \(-0.0630897\pi\)
−0.790852 + 0.612007i \(0.790362\pi\)
\(674\) −3.85701 + 3.34212i −0.148567 + 0.128734i
\(675\) −10.1059 + 1.45301i −0.388977 + 0.0559265i
\(676\) 20.2684 + 5.95133i 0.779552 + 0.228897i
\(677\) −14.4340 + 16.6578i −0.554746 + 0.640211i −0.961982 0.273112i \(-0.911947\pi\)
0.407237 + 0.913323i \(0.366492\pi\)
\(678\) −2.23227 1.43459i −0.0857297 0.0550951i
\(679\) −16.9935 47.2149i −0.652150 1.81194i
\(680\) −9.09965 + 10.5016i −0.348956 + 0.402716i
\(681\) −3.38501 + 11.5283i −0.129714 + 0.441765i
\(682\) 0.0315966 + 0.219759i 0.00120990 + 0.00841501i
\(683\) −7.06958 8.15873i −0.270510 0.312185i 0.604199 0.796833i \(-0.293493\pi\)
−0.874709 + 0.484648i \(0.838948\pi\)
\(684\) 6.30820 + 13.8130i 0.241200 + 0.528155i
\(685\) 24.0696 + 81.9734i 0.919651 + 3.13204i
\(686\) −1.93794 2.07670i −0.0739908 0.0792886i
\(687\) 13.2543 + 1.90568i 0.505682 + 0.0727062i
\(688\) 14.8554 + 23.1154i 0.566356 + 0.881268i
\(689\) −0.477927 −0.0182076
\(690\) 2.45421 + 1.48516i 0.0934303 + 0.0565389i
\(691\) 44.6466i 1.69844i 0.528040 + 0.849219i \(0.322927\pi\)
−0.528040 + 0.849219i \(0.677073\pi\)
\(692\) −14.0092 21.7988i −0.532551 0.828665i
\(693\) −0.584291 0.597906i −0.0221954 0.0227126i
\(694\) −0.445643 + 0.975823i −0.0169164 + 0.0370417i
\(695\) 3.62517 + 12.3462i 0.137511 + 0.468318i
\(696\) −2.93701 + 1.34129i −0.111327 + 0.0508414i
\(697\) 34.6514 30.0256i 1.31251 1.13730i
\(698\) 2.90533 0.417724i 0.109968 0.0158111i
\(699\) −5.04081 + 17.1674i −0.190661 + 0.649331i
\(700\) 52.2971 10.7473i 1.97665 0.406210i
\(701\) 14.0858 21.9179i 0.532012 0.827827i −0.466376 0.884587i \(-0.654441\pi\)
0.998388 + 0.0567598i \(0.0180769\pi\)
\(702\) 0.196196 + 0.126088i 0.00740495 + 0.00475887i
\(703\) −16.2795 14.1063i −0.613994 0.532029i
\(704\) 0.662402 2.25593i 0.0249652 0.0850237i
\(705\) −4.61686 32.1110i −0.173881 1.20937i
\(706\) −2.12943 + 1.84516i −0.0801423 + 0.0694437i
\(707\) 30.3089 + 6.95979i 1.13988 + 0.261750i
\(708\) 2.09710 0.615764i 0.0788138 0.0231418i
\(709\) 27.0919 + 12.3724i 1.01746 + 0.464657i 0.853102 0.521744i \(-0.174718\pi\)
0.164355 + 0.986401i \(0.447446\pi\)
\(710\) −0.140268 + 0.975587i −0.00526417 + 0.0366131i
\(711\) 2.61996 + 4.07674i 0.0982563 + 0.152890i
\(712\) −4.63724 −0.173788
\(713\) −9.66352 19.7321i −0.361902 0.738972i
\(714\) 1.44243 1.88130i 0.0539815 0.0704059i
\(715\) −1.57639 + 1.01309i −0.0589538 + 0.0378873i
\(716\) −6.18089 + 42.9890i −0.230991 + 1.60657i
\(717\) −21.7896 9.95097i −0.813747 0.371626i
\(718\) 0.877990 + 2.99016i 0.0327663 + 0.111592i
\(719\) −4.61158 + 2.10604i −0.171983 + 0.0785420i −0.499546 0.866287i \(-0.666500\pi\)
0.327563 + 0.944829i \(0.393773\pi\)
\(720\) 9.85674 + 11.3753i 0.367339 + 0.423932i
\(721\) −7.99143 + 14.2428i −0.297616 + 0.530429i
\(722\) 5.89056 + 1.72962i 0.219224 + 0.0643699i
\(723\) 1.47758 + 1.28033i 0.0549516 + 0.0476158i
\(724\) −23.8901 15.3532i −0.887868 0.570598i
\(725\) 45.4720 + 29.2231i 1.68879 + 1.08532i
\(726\) 1.26344 + 1.09478i 0.0468906 + 0.0406309i
\(727\) −34.5922 10.1572i −1.28295 0.376709i −0.431964 0.901891i \(-0.642179\pi\)
−0.850990 + 0.525182i \(0.823997\pi\)
\(728\) −2.13983 1.20063i −0.0793072 0.0444982i
\(729\) 0.654861 + 0.755750i 0.0242541 + 0.0279907i
\(730\) 4.86222 2.22050i 0.179959 0.0821845i
\(731\) −11.7182 39.9086i −0.433414 1.47607i
\(732\) 7.46779 + 3.41042i 0.276017 + 0.126053i
\(733\) 4.83254 33.6111i 0.178494 1.24145i −0.681756 0.731580i \(-0.738783\pi\)
0.860250 0.509873i \(-0.170308\pi\)
\(734\) −0.658544 + 0.423221i −0.0243073 + 0.0156214i
\(735\) −26.3642 + 7.08595i −0.972459 + 0.261369i
\(736\) −0.234597 8.68532i −0.00864736 0.320145i
\(737\) −4.62445 −0.170344
\(738\) 0.650763 + 1.01261i 0.0239549 + 0.0372746i
\(739\) −0.126099 + 0.877040i −0.00463864 + 0.0322624i −0.992009 0.126165i \(-0.959733\pi\)
0.987371 + 0.158427i \(0.0506423\pi\)
\(740\) −19.6586 8.97777i −0.722664 0.330029i
\(741\) −11.2097 + 3.29147i −0.411799 + 0.120915i
\(742\) −0.124301 0.0285431i −0.00456324 0.00104785i
\(743\) −17.4389 + 15.1109i −0.639771 + 0.554364i −0.913192 0.407530i \(-0.866390\pi\)
0.273421 + 0.961894i \(0.411845\pi\)
\(744\) 0.397634 + 2.76561i 0.0145780 + 0.101392i
\(745\) 9.05879 30.8514i 0.331888 1.13031i
\(746\) −1.12094 0.971301i −0.0410406 0.0355618i
\(747\) −5.21054 3.34861i −0.190644 0.122519i
\(748\) −1.97254 + 3.06934i −0.0721234 + 0.112226i
\(749\) −0.955498 4.64952i −0.0349131 0.169890i
\(750\) −0.877945 + 2.99001i −0.0320580 + 0.109180i
\(751\) 33.5767 4.82761i 1.22523 0.176162i 0.500834 0.865543i \(-0.333027\pi\)
0.724399 + 0.689381i \(0.242118\pi\)
\(752\) −24.2624 + 21.0235i −0.884759 + 0.766648i
\(753\) −3.63802 + 1.66143i −0.132577 + 0.0605458i
\(754\) −0.347856 1.18469i −0.0126682 0.0431438i
\(755\) 14.9496 32.7350i 0.544071 1.19135i
\(756\) −3.65482 3.73999i −0.132925 0.136022i
\(757\) −10.2213 15.9046i −0.371498 0.578062i 0.604294 0.796761i \(-0.293455\pi\)
−0.975792 + 0.218699i \(0.929819\pi\)
\(758\) 2.88577i 0.104816i
\(759\) 1.39492 + 0.592059i 0.0506325 + 0.0214904i
\(760\) 18.2741 0.662871
\(761\) 9.45502 + 14.7123i 0.342744 + 0.533320i 0.969244 0.246101i \(-0.0791496\pi\)
−0.626500 + 0.779421i \(0.715513\pi\)
\(762\) 0.494488 + 0.0710967i 0.0179134 + 0.00257556i
\(763\) −11.6973 22.0213i −0.423472 0.797223i
\(764\) 7.30556 + 24.8804i 0.264306 + 0.900143i
\(765\) −9.46490 20.7252i −0.342204 0.749323i
\(766\) −0.989138 1.14153i −0.0357390 0.0412450i
\(767\) 0.239307 + 1.66442i 0.00864089 + 0.0600987i
\(768\) 3.98686 13.5780i 0.143863 0.489953i
\(769\) −8.44912 + 9.75080i −0.304683 + 0.351623i −0.887357 0.461083i \(-0.847461\pi\)
0.582674 + 0.812706i \(0.302006\pi\)
\(770\) −0.470498 + 0.169341i −0.0169556 + 0.00610262i
\(771\) 21.7487 + 13.9770i 0.783261 + 0.503371i
\(772\) 3.55776 4.10588i 0.128047 0.147774i