Properties

Label 483.2.r.a.34.16
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 34.16
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.129024 + 0.0829186i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.821058 + 1.79787i) q^{4} +(3.74200 - 1.09875i) q^{5} +(-0.139511 + 0.0637126i) q^{6} +(2.59159 + 0.532585i) q^{7} +(-0.0867944 - 0.603668i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(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} +(2.59159 + 0.532585i) 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} +(-0.378538 + 0.146175i) 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} +(2.48942 + 0.895986i) 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} +(-3.08537 + 4.22206i) 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} +(10.2829 - 0.854581i) 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} +(-0.395488 + 0.0908156i) 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} +(6.43271 + 2.76049i) 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} +(0.0965690 - 1.61069i) 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} +(2.33657 + 1.24115i) 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} +(0.584291 - 0.597906i) 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} +(-3.65482 + 3.73999i) 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} +(-1.05887 + 0.177222i) 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 0.698859 0.715260i \(-0.253692\pi\)
0.974616 + 0.223883i \(0.0718733\pi\)
\(6\) −0.139511 + 0.0637126i −0.0569552 + 0.0260106i
\(7\) 2.59159 + 0.532585i 0.979530 + 0.201298i
\(8\) −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 0.480769 0.876847i \(-0.340358\pi\)
−0.799502 + 0.600664i \(0.794903\pi\)
\(14\) −0.378538 + 0.146175i −0.101169 + 0.0390669i
\(15\) 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 \(-0.885753\pi\)
0.347665 0.937619i \(-0.386975\pi\)
\(18\) −0.147158 + 0.0432096i −0.0346856 + 0.0101846i
\(19\) −3.19164 + 6.98871i −0.732212 + 1.60332i 0.0637435 + 0.997966i \(0.479696\pi\)
−0.795956 + 0.605355i \(0.793031\pi\)
\(20\) −1.09699 + 7.62976i −0.245295 + 1.70607i
\(21\) 2.48942 + 0.895986i 0.543236 + 0.195520i
\(22\) 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
\(28\) −3.08537 + 4.22206i −0.583079 + 0.797894i
\(29\) 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 −0.536941 0.843620i \(-0.680420\pi\)
−0.277516 + 0.960721i \(0.589511\pi\)
\(32\) 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
\(35\) 10.2829 0.854581i 1.73813 0.144451i
\(36\) −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 \(0.119065\pi\)
−0.585538 + 0.810645i \(0.699117\pi\)
\(42\) −0.395488 + 0.0908156i −0.0610252 + 0.0140131i
\(43\) −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 \(0.207497\pi\)
−0.794951 + 0.606674i \(0.792503\pi\)
\(48\) −2.08656 3.24675i −0.301169 0.468628i
\(49\) 6.43271 + 2.76049i 0.918958 + 0.394355i
\(50\) −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
\(56\) 0.0965690 1.61069i 0.0129046 0.215237i
\(57\) −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 0.598761 0.800928i \(-0.295660\pi\)
−0.707563 + 0.706650i \(0.750205\pi\)
\(60\) −2.17166 + 7.39599i −0.280360 + 0.954818i
\(61\) −0.591132 4.11141i −0.0756867 0.526413i −0.992028 0.126015i \(-0.959781\pi\)
0.916342 0.400397i \(-0.131128\pi\)
\(62\) 0.531023 0.460134i 0.0674400 0.0584371i
\(63\) 2.33657 + 1.24115i 0.294380 + 0.156370i
\(64\) 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 −0.121624 0.992576i \(-0.538810\pi\)
−0.829786 + 0.558082i \(0.811538\pi\)
\(74\) 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
\(77\) 0.584291 0.597906i 0.0665861 0.0681377i
\(78\) 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 0.591114 0.806588i \(-0.298688\pi\)
0.0612029 + 0.998125i \(0.480506\pi\)
\(84\) −3.65482 + 3.73999i −0.398774 + 0.408066i
\(85\) −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 \(0.177483\pi\)
−0.963241 + 0.268639i \(0.913426\pi\)
\(90\) −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 \(0.822071\pi\)
−0.999925 + 0.0122191i \(0.996110\pi\)
\(98\) −1.05887 + 0.177222i −0.106962 + 0.0179022i
\(99\) 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 \(-0.710274\pi\)
0.943087 0.332547i \(-0.107908\pi\)
\(102\) 0.677162 + 0.586764i 0.0670490 + 0.0580983i
\(103\) 5.19284 + 3.33724i 0.511666 + 0.328828i 0.770868 0.636995i \(-0.219823\pi\)
−0.259201 + 0.965823i \(0.583459\pi\)
\(104\) −0.501385 + 0.780170i −0.0491648 + 0.0765020i
\(105\) 10.2999 + 0.617531i 1.00517 + 0.0602648i
\(106\) 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
\(112\) −4.99652 8.90508i −0.472127 0.841451i
\(113\) −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
\(119\) −3.45930 15.0648i −0.317114 1.38098i
\(120\) −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
\(126\) −0.404387 + 0.0336073i −0.0360257 + 0.00299398i
\(127\) 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 −0.883215 0.468968i \(-0.844626\pi\)
0.338500 + 0.940966i \(0.390081\pi\)
\(132\) 0.259435 + 0.568083i 0.0225809 + 0.0494453i
\(133\) −11.9935 + 16.4121i −1.03997 + 1.42311i
\(134\) 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 \(0.0446857\pi\)
−0.990162 + 0.139924i \(0.955314\pi\)
\(140\) −6.90646 + 19.1890i −0.583703 + 1.62177i
\(141\) −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
\(147\) 5.97437 + 3.64786i 0.492758 + 0.300870i
\(148\) 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
\(154\) −0.0258099 + 0.125593i −0.00207982 + 0.0101205i
\(155\) −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 −0.979481 0.201535i \(-0.935407\pi\)
0.793734 + 0.608265i \(0.208134\pi\)
\(158\) −0.735675 0.105774i −0.0585272 0.00841494i
\(159\) −0.264404 + 0.169922i −0.0209686 + 0.0134757i
\(160\) 7.06550 0.558576
\(161\) −1.39193 12.6120i −0.109699 0.993965i
\(162\) −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 −0.466050 0.884759i \(-0.654323\pi\)
0.363458 + 0.931610i \(0.381596\pi\)
\(168\) 0.324811 1.58055i 0.0250597 0.121942i
\(169\) −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 −0.459888 0.887977i \(-0.652110\pi\)
0.998777 + 0.0494500i \(0.0157468\pi\)
\(174\) −0.613648 0.531729i −0.0465205 0.0403103i
\(175\) 25.1992 9.73082i 1.90488 0.735581i
\(176\) −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 \(-0.775239\pi\)
0.912882 0.408224i \(-0.133852\pi\)
\(182\) 0.580580 + 0.208961i 0.0430354 + 0.0154892i
\(183\) 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
\(189\) 2.13615 + 1.56104i 0.155382 + 0.113549i
\(190\) −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
\(196\) −10.2446 + 9.29863i −0.731758 + 0.664188i
\(197\) 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 \(0.227758\pi\)
−0.539358 + 0.842077i \(0.681333\pi\)
\(200\) −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
\(203\) 3.13484 + 13.6518i 0.220023 + 0.958167i
\(204\) 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
\(210\) −1.38014 + 0.774376i −0.0952384 + 0.0534370i
\(211\) −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
\(217\) −12.0993 0.725418i −0.821357 0.0492446i
\(218\) −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 −0.0994719 0.995040i \(-0.531715\pi\)
0.970756 + 0.240068i \(0.0771699\pi\)
\(224\) 4.23310 + 2.24856i 0.282836 + 0.150238i
\(225\) 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 \(0.176004\pi\)
−0.964479 + 0.264160i \(0.914905\pi\)
\(228\) −8.20979 12.7747i −0.543707 0.846024i
\(229\) 13.3906 0.884875 0.442437 0.896799i \(-0.354114\pi\)
0.442437 + 0.896799i \(0.354114\pi\)
\(230\) 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
\(238\) 1.69548 + 1.65687i 0.109902 + 0.107399i
\(239\) 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 0.592542 0.805540i \(-0.298125\pi\)
−0.486594 + 0.873628i \(0.661761\pi\)
\(242\) −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
\(245\) 27.1043 + 3.26181i 1.73163 + 0.208389i
\(246\) −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 −0.642501 0.766285i \(-0.722103\pi\)
0.430133 + 0.902766i \(0.358467\pi\)
\(252\) −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 0.979166 0.203063i \(-0.0650897\pi\)
0.487752 + 0.872982i \(0.337817\pi\)
\(258\) 1.04770 0.307633i 0.0652271 0.0191524i
\(259\) 3.47981 6.55105i 0.216225 0.407062i
\(260\) 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
\(266\) 0.186582 3.11204i 0.0114401 0.190811i
\(267\) −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 −0.677906 0.735148i \(-0.737112\pi\)
0.631189 + 0.775629i \(0.282567\pi\)
\(270\) −0.544091 + 0.248478i −0.0331123 + 0.0151219i
\(271\) 0.825145 + 2.81019i 0.0501240 + 0.170707i 0.980751 0.195262i \(-0.0625558\pi\)
−0.930627 + 0.365969i \(0.880738\pi\)
\(272\) −9.36646 + 20.5097i −0.567925 + 1.24358i
\(273\) −1.96864 3.50862i −0.119148 0.212352i
\(274\) 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
\(280\) −1.40838 6.13331i −0.0841671 0.366535i
\(281\) 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 0.427733 0.903905i \(-0.359313\pi\)
−0.955578 + 0.294740i \(0.904767\pi\)
\(284\) −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
\(287\) 1.71974 + 20.6931i 0.101513 + 1.22147i
\(288\) 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 \(0.0741158\pi\)
−0.462805 + 0.886460i \(0.653157\pi\)
\(294\) −1.07331 + 0.0247258i −0.0625968 + 0.00144204i
\(295\) −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
\(301\) −17.7236 6.37903i −1.02157 0.367681i
\(302\) 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 0.0644232 0.997923i \(-0.479479\pi\)
0.342961 + 0.939350i \(0.388570\pi\)
\(308\) 0.595219 + 1.54139i 0.0339157 + 0.0878290i
\(309\) 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 −0.894594 0.446879i \(-0.852535\pi\)
0.778124 + 0.628111i \(0.216172\pi\)
\(312\) −0.607311 + 0.700874i −0.0343822 + 0.0396792i
\(313\) −10.7417 3.15405i −0.607156 0.178277i −0.0363189 0.999340i \(-0.511563\pi\)
−0.570838 + 0.821063i \(0.693381\pi\)
\(314\) −0.122288 0.850531i −0.00690110 0.0479982i
\(315\) 10.1072 + 2.07707i 0.569474 + 0.117030i
\(316\) −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
\(322\) 1.22536 + 1.51183i 0.0682867 + 0.0842511i
\(323\) 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
\(329\) −4.43020 + 21.5576i −0.244245 + 1.18851i
\(330\) 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
\(336\) −3.67834 9.52552i −0.200670 0.519660i
\(337\) 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
\(343\) 15.2008 + 10.5800i 0.820764 + 0.571267i
\(344\) 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 0.822710 0.568461i \(-0.192461\pi\)
0.109146 + 0.994026i \(0.465188\pi\)
\(350\) −2.44443 + 3.34499i −0.130660 + 0.178797i
\(351\) −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 −0.608076 0.793878i \(-0.708059\pi\)
−0.359784 + 0.933036i \(0.617150\pi\)
\(354\) 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
\(357\) −1.28015 15.4037i −0.0677530 0.815252i
\(358\) −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
\(364\) 7.75003 1.77963i 0.406212 0.0932780i
\(365\) −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 \(-0.542530\pi\)
−0.133215 + 0.991087i \(0.542530\pi\)
\(368\) −9.58271 + 15.8354i −0.499533 + 0.825476i
\(369\) 7.84821i 0.408562i
\(370\) 0.906664 + 1.41080i 0.0471352 + 0.0733438i
\(371\) −0.725199 + 0.406900i −0.0376505 + 0.0211252i
\(372\) 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
\(378\) −0.405054 0.0242851i −0.0208337 0.00124909i
\(379\) −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 \(-0.964493\pi\)
0.922168 0.386790i \(-0.126416\pi\)
\(384\) −3.60083 + 3.12014i −0.183754 + 0.159224i
\(385\) 1.52947 2.87936i 0.0779489 0.146746i
\(386\) 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 −0.812679 0.582711i \(-0.801992\pi\)
−0.0918078 + 0.995777i \(0.529265\pi\)
\(398\) −2.14437 2.47473i −0.107487 0.124047i
\(399\) −14.2071 + 14.5382i −0.711246 + 0.727819i
\(400\) −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
\(406\) −1.53646 1.50147i −0.0762530 0.0745166i
\(407\) −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 \(0.0439619\pi\)
−0.758812 + 0.651310i \(0.774220\pi\)
\(410\) −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 0.214928 0.976630i \(-0.431048\pi\)
0.708815 + 0.705394i \(0.249230\pi\)
\(420\) −9.56704 + 18.0108i −0.466824 + 0.878837i
\(421\) −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
\(427\) 0.657704 10.9699i 0.0318285 0.530872i
\(428\) −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 \(-0.640347\pi\)
0.962943 0.269705i \(-0.0869261\pi\)
\(434\) 1.62126 0.909665i 0.0778227 0.0436653i
\(435\) 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 0.505023 0.863106i \(-0.331484\pi\)
−0.994903 + 0.100838i \(0.967848\pi\)
\(440\) −0.743902 0.106957i −0.0354641 0.00509897i
\(441\) 5.39442 + 4.46097i 0.256877 + 0.212427i
\(442\) −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
\(448\) 19.6193 1.63050i 0.926927 0.0770339i
\(449\) −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
\(455\) −12.6682 9.25759i −0.593895 0.434003i
\(456\) 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 \(-0.841633\pi\)
0.878766 0.477252i \(-0.158367\pi\)
\(462\) −0.0434209 + 0.120641i −0.00202012 + 0.00561274i
\(463\) −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 0.578240 0.815867i \(-0.303740\pi\)
−0.889855 + 0.456244i \(0.849194\pi\)
\(468\) 2.97488 0.427723i 0.137514 0.0197715i
\(469\) −13.9488 36.1221i −0.644095 1.66796i
\(470\) −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
\(476\) 29.9247 + 6.14968i 1.37160 + 0.281870i
\(477\) −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 \(-0.679043\pi\)
0.988543 0.150938i \(-0.0482295\pi\)
\(480\) 6.99358 + 1.00552i 0.319212 + 0.0458957i
\(481\) −3.58657 + 2.30495i −0.163534 + 0.105097i
\(482\) −0.299857 −0.0136581
\(483\) 0.417115 12.6817i 0.0189794 0.577038i
\(484\) −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
\(490\) −3.76757 + 1.82660i −0.170201 + 0.0825174i
\(491\) 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
\(497\) −4.06697 + 1.57048i −0.182428 + 0.0704459i
\(498\) −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 \(0.126115\pi\)
−0.993890 + 0.110378i \(0.964794\pi\)
\(504\) 0.546441 1.51824i 0.0243404 0.0676277i
\(505\) 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 −0.550599 0.834770i \(-0.685601\pi\)
−0.763478 + 0.645834i \(0.776510\pi\)
\(510\) 3.17865 + 1.45164i 0.140753 + 0.0642798i
\(511\) −19.0895 13.9501i −0.844472 0.617118i
\(512\) −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
\(518\) 0.0942250 + 1.13378i 0.00414001 + 0.0498155i
\(519\) 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 0.994344 0.106210i \(-0.0338716\pi\)
−0.983989 + 0.178231i \(0.942962\pi\)
\(522\) −0.531729 0.613648i −0.0232732 0.0268586i
\(523\) 17.1434 + 37.5389i 0.749631 + 1.64146i 0.767028 + 0.641613i \(0.221735\pi\)
−0.0173976 + 0.999849i \(0.505538\pi\)
\(524\) −4.59363 15.6445i −0.200674 0.683432i
\(525\) 26.3275 6.04556i 1.14903 0.263850i
\(526\) −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
\(532\) −19.6594 35.0380i −0.852342 1.51909i
\(533\) 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
\(539\) 1.83268 1.23834i 0.0789391 0.0533393i
\(540\) −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
\(546\) 0.544932 + 0.289459i 0.0233209 + 0.0123877i
\(547\) 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
\(560\) −28.4815 27.8329i −1.20356 1.17616i
\(561\) −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 0.600291 0.799782i \(-0.295052\pi\)
−0.478137 + 0.878285i \(0.658688\pi\)
\(564\) −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
\(567\) 1.89225 + 1.84916i 0.0794670 + 0.0776574i
\(568\) 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 0.945047 0.326935i \(-0.106016\pi\)
−0.689977 + 0.723831i \(0.742379\pi\)
\(578\) 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
\(581\) 14.4722 + 7.68740i 0.600408 + 0.318927i
\(582\) 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 −0.659881 0.751370i \(-0.729393\pi\)
0.957595 + 0.288118i \(0.0930295\pi\)
\(588\) −11.4637 + 7.74602i −0.472754 + 0.319441i
\(589\) 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 \(0.149909\pi\)
−0.504362 + 0.863492i \(0.668272\pi\)
\(594\) −0.0201317 + 0.0440822i −0.000826012 + 0.00180872i
\(595\) −29.4972 52.5715i −1.20927 2.15522i
\(596\) −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 −0.238343 0.971181i \(-0.576604\pi\)
−0.502302 + 0.864692i \(0.667513\pi\)
\(602\) 2.81570 0.646567i 0.114760 0.0263521i
\(603\) −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 \(0.335009\pi\)
−0.886411 + 0.462899i \(0.846809\pi\)
\(608\) −9.11509 + 10.5194i −0.369666 + 0.426617i
\(609\) 1.16008 + 13.9590i 0.0470090 + 0.565645i
\(610\) 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
\(616\) −0.411650 0.300823i −0.0165859 0.0121205i
\(617\) 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 −0.914138 0.405404i \(-0.867131\pi\)
−0.0109778 + 0.999940i \(0.503494\pi\)
\(620\) 35.3140i 1.41824i
\(621\) 0.554095 4.76371i 0.0222351 0.191161i
\(622\) 0.582680i 0.0233633i
\(623\) −6.81269 + 18.9285i −0.272945 + 0.758353i
\(624\) −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
\(630\) −1.47629 + 0.570080i −0.0588169 + 0.0227125i
\(631\) −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
\(637\) −4.64364 9.57803i −0.183988 0.379495i
\(638\) −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 \(-0.371583\pi\)
0.392579 + 0.919718i \(0.371583\pi\)
\(644\) 23.8176 + 7.85269i 0.938543 + 0.309439i
\(645\) −27.7662 −1.09329
\(646\) −5.79126 + 3.72182i −0.227854 + 0.146433i
\(647\) 15.6964 + 2.25680i 0.617089 + 0.0887240i 0.443768 0.896142i \(-0.353641\pi\)
0.173320 + 0.984866i \(0.444550\pi\)
\(648\) 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
\(651\) −11.8730 2.43995i −0.465338 0.0956292i
\(652\) 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
\(658\) −1.21593 3.14879i −0.0474018 0.122753i
\(659\) −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 0.934458 0.356074i \(-0.115885\pi\)
−0.881042 + 0.473037i \(0.843158\pi\)
\(662\) 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
\(665\) −26.8470 + 74.5920i −1.04108 + 2.89255i
\(666\) 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
\(672\) 3.87001 + 2.82810i 0.149289 + 0.109096i
\(673\) 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 −0.407237 0.913323i \(-0.633508\pi\)
0.961982 + 0.273112i \(0.0880530\pi\)
\(678\) 2.23227 + 1.43459i 0.0857297 + 0.0550951i
\(679\) −50.0075 + 4.15596i −1.91911 + 0.159491i
\(680\) −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
\(686\) −2.83854 0.104649i −0.108376 0.00399553i
\(687\) 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 \(-0.677073\pi\)
0.528040 0.849219i \(-0.322927\pi\)
\(692\) 14.0092 + 21.7988i 0.532551 + 0.828665i
\(693\) 0.729072 0.409073i 0.0276952 0.0155394i
\(694\) −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
\(700\) −3.19527 + 53.2943i −0.120770 + 2.01434i
\(701\) 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
\(707\) 14.5882 27.4636i 0.548647 1.03288i
\(708\) 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 −0.327563 0.944829i \(-0.606227\pi\)
0.499546 + 0.866287i \(0.333500\pi\)
\(720\) −9.85674 11.3753i −0.367339 0.423932i
\(721\) 11.6804 + 11.4144i 0.435000 + 0.425094i
\(722\) 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 0.850990 0.525182i \(-0.176003\pi\)
0.431964 + 0.901891i \(0.357821\pi\)
\(728\) −1.71489 + 1.75485i −0.0635581 + 0.0650392i
\(729\) 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 \(0.261217\pi\)
−0.860250 + 0.509873i \(0.829692\pi\)
\(734\) 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
\(742\) 0.0598284 0.112632i 0.00219637 0.00413486i
\(743\) −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
\(749\) 4.73817 + 0.284078i 0.173129 + 0.0103800i
\(750\) −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
\(756\) −4.56045 + 2.55881i −0.165862 + 0.0930630i
\(757\) −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 0.626500 0.779421i \(-0.284487\pi\)
−0.969244 + 0.246101i \(0.920850\pi\)
\(762\) −0.494488 0.0710967i −0.0179134 0.00257556i
\(763\) 24.3027 5.58060i 0.879817 0.202031i
\(764\) 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 −0.582674 0.812706i \(-0.697994\pi\)
0.887357 + 0.461083i \(0.152539\pi\)
\(770\) 0.0414144 + 0.498327i 0.00149247 + 0.0179585i
\(771\) 21.7487 + 13.9770i 0.783261 + 0.503371i
\(772\) 3.55776 4.10588i 0.128047 0.147774i
\(773\)