Properties

Label 483.2.y.a.340.16
Level $483$
Weight $2$
Character 483.340
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.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 340.16
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.a.331.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.632789 + 2.60839i) q^{2} +(0.327068 + 0.945001i) q^{3} +(-4.62562 + 2.38467i) q^{4} +(1.95956 - 0.784488i) q^{5} +(-2.25797 + 1.45111i) q^{6} +(0.712373 + 2.54804i) q^{7} +(-5.63184 - 6.49949i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(0.632789 + 2.60839i) q^{2} +(0.327068 + 0.945001i) q^{3} +(-4.62562 + 2.38467i) q^{4} +(1.95956 - 0.784488i) q^{5} +(-2.25797 + 1.45111i) q^{6} +(0.712373 + 2.54804i) q^{7} +(-5.63184 - 6.49949i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(3.28624 + 4.61488i) q^{10} +(-1.30113 + 5.36334i) q^{11} +(-3.76641 - 3.59126i) q^{12} +(0.558523 - 1.22299i) q^{13} +(-6.19552 + 3.47052i) q^{14} +(1.38225 + 1.59520i) q^{15} +(7.35207 - 10.3245i) q^{16} +(-0.291393 - 6.11709i) q^{17} +(-2.10981 - 1.65917i) q^{18} +(0.188631 - 3.95985i) q^{19} +(-7.19342 + 8.30165i) q^{20} +(-2.17491 + 1.50658i) q^{21} -14.8131 q^{22} +(1.46378 + 4.56698i) q^{23} +(4.30003 - 7.44787i) q^{24} +(-0.394228 + 0.375895i) q^{25} +(3.54348 + 0.682949i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(-9.37141 - 10.0875i) q^{28} +(2.23130 - 1.43397i) q^{29} +(-3.28624 + 4.61488i) q^{30} +(5.25031 - 1.01191i) q^{31} +(15.6147 + 6.25119i) q^{32} +(-5.49392 + 0.524606i) q^{33} +(15.7714 - 4.63090i) q^{34} +(3.39485 + 4.43419i) q^{35} +(2.16188 - 4.73385i) q^{36} +(-6.68175 + 5.25458i) q^{37} +(10.4482 - 2.01373i) q^{38} +(1.33841 + 0.127802i) q^{39} +(-16.1347 - 8.31801i) q^{40} +(0.829006 - 5.76586i) q^{41} +(-5.30600 - 4.71967i) q^{42} +(5.84189 - 6.74190i) q^{43} +(-6.77127 - 27.9116i) q^{44} +(-1.05538 + 1.82797i) q^{45} +(-10.9862 + 6.70806i) q^{46} +(5.81748 + 10.0762i) q^{47} +(12.1613 + 3.57089i) q^{48} +(-5.98505 + 3.63032i) q^{49} +(-1.22995 - 0.790438i) q^{50} +(5.68535 - 2.27607i) q^{51} +(0.332927 + 6.98900i) q^{52} +(10.5234 + 1.00486i) q^{53} +(0.877867 - 2.53643i) q^{54} +(1.65784 + 11.5305i) q^{55} +(12.5490 - 18.9802i) q^{56} +(3.80376 - 1.11688i) q^{57} +(5.15230 + 4.91271i) q^{58} +(0.116786 + 0.164003i) q^{59} +(-10.1978 - 4.08258i) q^{60} +(-0.815409 + 2.35597i) q^{61} +(5.96181 + 13.0545i) q^{62} +(-2.13506 - 1.56254i) q^{63} +(-2.81713 + 19.5935i) q^{64} +(0.135033 - 2.83468i) q^{65} +(-4.84487 - 13.9983i) q^{66} +(-2.75956 + 2.63124i) q^{67} +(15.9351 + 27.6005i) q^{68} +(-3.83705 + 2.87699i) q^{69} +(-9.41788 + 11.6610i) q^{70} +(1.44867 + 0.425367i) q^{71} +(8.44465 + 1.62757i) q^{72} +(-2.49632 + 1.28694i) q^{73} +(-17.9342 - 14.1036i) q^{74} +(-0.484161 - 0.249602i) q^{75} +(8.57041 + 18.7666i) q^{76} +(-14.5929 + 0.505358i) q^{77} +(0.513570 + 3.57196i) q^{78} +(-0.202515 + 0.0193378i) q^{79} +(6.30732 - 25.9991i) q^{80} +(0.235759 - 0.971812i) q^{81} +(15.5642 - 1.48620i) q^{82} +(-0.220386 - 1.53282i) q^{83} +(6.46761 - 12.1553i) q^{84} +(-5.36979 - 11.7582i) q^{85} +(21.2822 + 10.9717i) q^{86} +(2.08489 + 1.63958i) q^{87} +(42.1868 - 21.7488i) q^{88} +(-2.19770 - 0.423571i) q^{89} +(-5.43589 - 1.59612i) q^{90} +(3.51412 + 0.551912i) q^{91} +(-17.6617 - 17.6345i) q^{92} +(2.67347 + 4.63058i) q^{93} +(-22.6014 + 21.5504i) q^{94} +(-2.73682 - 7.90753i) q^{95} +(-0.800306 + 16.8005i) q^{96} +(-0.429381 + 2.98641i) q^{97} +(-13.2566 - 13.3141i) q^{98} +(-2.29264 - 5.02018i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.632789 + 2.60839i 0.447450 + 1.84441i 0.530244 + 0.847845i \(0.322100\pi\)
−0.0827941 + 0.996567i \(0.526384\pi\)
\(3\) 0.327068 + 0.945001i 0.188833 + 0.545596i
\(4\) −4.62562 + 2.38467i −2.31281 + 1.19234i
\(5\) 1.95956 0.784488i 0.876341 0.350834i 0.110509 0.993875i \(-0.464752\pi\)
0.765832 + 0.643041i \(0.222328\pi\)
\(6\) −2.25797 + 1.45111i −0.921812 + 0.592412i
\(7\) 0.712373 + 2.54804i 0.269252 + 0.963070i
\(8\) −5.63184 6.49949i −1.99116 2.29792i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) 3.28624 + 4.61488i 1.03920 + 1.45935i
\(11\) −1.30113 + 5.36334i −0.392306 + 1.61711i 0.342973 + 0.939345i \(0.388566\pi\)
−0.735279 + 0.677764i \(0.762949\pi\)
\(12\) −3.76641 3.59126i −1.08727 1.03671i
\(13\) 0.558523 1.22299i 0.154906 0.339198i −0.816228 0.577730i \(-0.803939\pi\)
0.971135 + 0.238532i \(0.0766661\pi\)
\(14\) −6.19552 + 3.47052i −1.65582 + 0.927536i
\(15\) 1.38225 + 1.59520i 0.356896 + 0.411879i
\(16\) 7.35207 10.3245i 1.83802 2.58113i
\(17\) −0.291393 6.11709i −0.0706732 1.48361i −0.704261 0.709942i \(-0.748721\pi\)
0.633587 0.773671i \(-0.281582\pi\)
\(18\) −2.10981 1.65917i −0.497286 0.391070i
\(19\) 0.188631 3.95985i 0.0432749 0.908452i −0.867977 0.496604i \(-0.834580\pi\)
0.911252 0.411848i \(-0.135117\pi\)
\(20\) −7.19342 + 8.30165i −1.60850 + 1.85630i
\(21\) −2.17491 + 1.50658i −0.474604 + 0.328762i
\(22\) −14.8131 −3.15815
\(23\) 1.46378 + 4.56698i 0.305220 + 0.952282i
\(24\) 4.30003 7.44787i 0.877740 1.52029i
\(25\) −0.394228 + 0.375895i −0.0788456 + 0.0751791i
\(26\) 3.54348 + 0.682949i 0.694933 + 0.133937i
\(27\) −0.841254 0.540641i −0.161899 0.104046i
\(28\) −9.37141 10.0875i −1.77103 1.90636i
\(29\) 2.23130 1.43397i 0.414342 0.266282i −0.316819 0.948486i \(-0.602615\pi\)
0.731162 + 0.682204i \(0.238979\pi\)
\(30\) −3.28624 + 4.61488i −0.599983 + 0.842558i
\(31\) 5.25031 1.01191i 0.942983 0.181745i 0.305485 0.952197i \(-0.401181\pi\)
0.637498 + 0.770452i \(0.279969\pi\)
\(32\) 15.6147 + 6.25119i 2.76032 + 1.10506i
\(33\) −5.49392 + 0.524606i −0.956369 + 0.0913222i
\(34\) 15.7714 4.63090i 2.70477 0.794192i
\(35\) 3.39485 + 4.43419i 0.573834 + 0.749515i
\(36\) 2.16188 4.73385i 0.360313 0.788974i
\(37\) −6.68175 + 5.25458i −1.09847 + 0.863848i −0.991460 0.130409i \(-0.958371\pi\)
−0.107012 + 0.994258i \(0.534128\pi\)
\(38\) 10.4482 2.01373i 1.69492 0.326670i
\(39\) 1.33841 + 0.127802i 0.214316 + 0.0204647i
\(40\) −16.1347 8.31801i −2.55112 1.31519i
\(41\) 0.829006 5.76586i 0.129469 0.900476i −0.816760 0.576978i \(-0.804232\pi\)
0.946229 0.323498i \(-0.104859\pi\)
\(42\) −5.30600 4.71967i −0.818734 0.728261i
\(43\) 5.84189 6.74190i 0.890880 1.02813i −0.108541 0.994092i \(-0.534618\pi\)
0.999421 0.0340382i \(-0.0108368\pi\)
\(44\) −6.77127 27.9116i −1.02081 4.20783i
\(45\) −1.05538 + 1.82797i −0.157326 + 0.272497i
\(46\) −10.9862 + 6.70806i −1.61983 + 0.989050i
\(47\) 5.81748 + 10.0762i 0.848567 + 1.46976i 0.882487 + 0.470337i \(0.155868\pi\)
−0.0339196 + 0.999425i \(0.510799\pi\)
\(48\) 12.1613 + 3.57089i 1.75534 + 0.515413i
\(49\) −5.98505 + 3.63032i −0.855007 + 0.518616i
\(50\) −1.22995 0.790438i −0.173941 0.111785i
\(51\) 5.68535 2.27607i 0.796108 0.318714i
\(52\) 0.332927 + 6.98900i 0.0461687 + 0.969200i
\(53\) 10.5234 + 1.00486i 1.44550 + 0.138028i 0.788114 0.615529i \(-0.211058\pi\)
0.657382 + 0.753557i \(0.271664\pi\)
\(54\) 0.877867 2.53643i 0.119463 0.345165i
\(55\) 1.65784 + 11.5305i 0.223543 + 1.55477i
\(56\) 12.5490 18.9802i 1.67693 2.53634i
\(57\) 3.80376 1.11688i 0.503820 0.147935i
\(58\) 5.15230 + 4.91271i 0.676530 + 0.645070i
\(59\) 0.116786 + 0.164003i 0.0152043 + 0.0213514i 0.822108 0.569331i \(-0.192798\pi\)
−0.806904 + 0.590683i \(0.798858\pi\)
\(60\) −10.1978 4.08258i −1.31653 0.527059i
\(61\) −0.815409 + 2.35597i −0.104402 + 0.301651i −0.985088 0.172050i \(-0.944961\pi\)
0.880686 + 0.473701i \(0.157082\pi\)
\(62\) 5.96181 + 13.0545i 0.757150 + 1.65793i
\(63\) −2.13506 1.56254i −0.268992 0.196861i
\(64\) −2.81713 + 19.5935i −0.352141 + 2.44919i
\(65\) 0.135033 2.83468i 0.0167487 0.351599i
\(66\) −4.84487 13.9983i −0.596363 1.72308i
\(67\) −2.75956 + 2.63124i −0.337134 + 0.321457i −0.839667 0.543101i \(-0.817250\pi\)
0.502533 + 0.864558i \(0.332401\pi\)
\(68\) 15.9351 + 27.6005i 1.93242 + 3.34705i
\(69\) −3.83705 + 2.87699i −0.461926 + 0.346349i
\(70\) −9.41788 + 11.6610i −1.12565 + 1.39376i
\(71\) 1.44867 + 0.425367i 0.171925 + 0.0504817i 0.366562 0.930394i \(-0.380535\pi\)
−0.194637 + 0.980875i \(0.562353\pi\)
\(72\) 8.44465 + 1.62757i 0.995211 + 0.191811i
\(73\) −2.49632 + 1.28694i −0.292172 + 0.150625i −0.598081 0.801436i \(-0.704070\pi\)
0.305909 + 0.952061i \(0.401040\pi\)
\(74\) −17.9342 14.1036i −2.08480 1.63951i
\(75\) −0.484161 0.249602i −0.0559061 0.0288216i
\(76\) 8.57041 + 18.7666i 0.983093 + 2.15267i
\(77\) −14.5929 + 0.505358i −1.66302 + 0.0575909i
\(78\) 0.513570 + 3.57196i 0.0581504 + 0.404445i
\(79\) −0.202515 + 0.0193378i −0.0227847 + 0.00217567i −0.106442 0.994319i \(-0.533946\pi\)
0.0836575 + 0.996495i \(0.473340\pi\)
\(80\) 6.30732 25.9991i 0.705180 2.90679i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) 15.5642 1.48620i 1.71878 0.164124i
\(83\) −0.220386 1.53282i −0.0241905 0.168249i 0.974145 0.225924i \(-0.0725402\pi\)
−0.998335 + 0.0576754i \(0.981631\pi\)
\(84\) 6.46761 12.1553i 0.705674 1.32625i
\(85\) −5.36979 11.7582i −0.582435 1.27536i
\(86\) 21.2822 + 10.9717i 2.29492 + 1.18311i
\(87\) 2.08489 + 1.63958i 0.223524 + 0.175781i
\(88\) 42.1868 21.7488i 4.49713 2.31843i
\(89\) −2.19770 0.423571i −0.232955 0.0448985i 0.0714373 0.997445i \(-0.477241\pi\)
−0.304393 + 0.952547i \(0.598454\pi\)
\(90\) −5.43589 1.59612i −0.572993 0.168246i
\(91\) 3.51412 + 0.551912i 0.368380 + 0.0578561i
\(92\) −17.6617 17.6345i −1.84136 1.83852i
\(93\) 2.67347 + 4.63058i 0.277226 + 0.480169i
\(94\) −22.6014 + 21.5504i −2.33115 + 2.22275i
\(95\) −2.73682 7.90753i −0.280792 0.811296i
\(96\) −0.800306 + 16.8005i −0.0816809 + 1.71469i
\(97\) −0.429381 + 2.98641i −0.0435971 + 0.303224i 0.956343 + 0.292248i \(0.0944032\pi\)
−0.999940 + 0.0109767i \(0.996506\pi\)
\(98\) −13.2566 13.3141i −1.33911 1.34493i
\(99\) −2.29264 5.02018i −0.230419 0.504547i
\(100\) 0.927160 2.67885i 0.0927160 0.267885i
\(101\) 6.98271 + 2.79545i 0.694805 + 0.278158i 0.692062 0.721838i \(-0.256702\pi\)
0.00274347 + 0.999996i \(0.499127\pi\)
\(102\) 9.53452 + 13.3894i 0.944058 + 1.32574i
\(103\) −13.3807 12.7585i −1.31844 1.25713i −0.944028 0.329864i \(-0.892997\pi\)
−0.374409 0.927264i \(-0.622154\pi\)
\(104\) −11.0944 + 3.25760i −1.08789 + 0.319434i
\(105\) −3.07997 + 4.65841i −0.300574 + 0.454615i
\(106\) 4.03801 + 28.0849i 0.392206 + 2.72785i
\(107\) −1.47541 + 4.26292i −0.142633 + 0.412112i −0.993579 0.113142i \(-0.963909\pi\)
0.850945 + 0.525254i \(0.176030\pi\)
\(108\) 5.18057 + 0.494684i 0.498500 + 0.0476010i
\(109\) −0.349874 7.34475i −0.0335118 0.703500i −0.951640 0.307216i \(-0.900603\pi\)
0.918128 0.396284i \(-0.129700\pi\)
\(110\) −29.0270 + 11.6207i −2.76762 + 1.10799i
\(111\) −7.15097 4.59565i −0.678740 0.436200i
\(112\) 31.5448 + 11.3785i 2.98070 + 1.07516i
\(113\) 17.3908 + 5.10639i 1.63599 + 0.480369i 0.965250 0.261327i \(-0.0841599\pi\)
0.670737 + 0.741696i \(0.265978\pi\)
\(114\) 5.32025 + 9.21494i 0.498287 + 0.863058i
\(115\) 6.45111 + 7.80094i 0.601569 + 0.727442i
\(116\) −6.90160 + 11.9539i −0.640797 + 1.10989i
\(117\) 0.316976 + 1.30659i 0.0293045 + 0.120795i
\(118\) −0.353884 + 0.408403i −0.0325776 + 0.0375966i
\(119\) 15.3790 5.10013i 1.40979 0.467529i
\(120\) 2.58339 17.9679i 0.235830 1.64023i
\(121\) −17.2953 8.91636i −1.57230 0.810578i
\(122\) −6.66128 0.636075i −0.603084 0.0575875i
\(123\) 5.71988 1.10242i 0.515745 0.0994016i
\(124\) −21.8728 + 17.2010i −1.96424 + 1.54470i
\(125\) −4.86182 + 10.6459i −0.434855 + 0.952199i
\(126\) 2.72467 6.55783i 0.242733 0.584218i
\(127\) −9.58792 + 2.81527i −0.850791 + 0.249815i −0.677925 0.735131i \(-0.737121\pi\)
−0.172865 + 0.984945i \(0.555303\pi\)
\(128\) −19.4035 + 1.85281i −1.71505 + 0.163767i
\(129\) 8.28180 + 3.31553i 0.729172 + 0.291916i
\(130\) 7.47941 1.44154i 0.655988 0.126431i
\(131\) 2.96388 4.16218i 0.258955 0.363652i −0.664546 0.747247i \(-0.731375\pi\)
0.923501 + 0.383596i \(0.125314\pi\)
\(132\) 24.1618 15.5278i 2.10301 1.35152i
\(133\) 10.2242 2.34025i 0.886554 0.202926i
\(134\) −8.60952 5.53300i −0.743749 0.477978i
\(135\) −2.07261 0.399463i −0.178382 0.0343803i
\(136\) −38.1169 + 36.3444i −3.26850 + 3.11651i
\(137\) 5.80191 10.0492i 0.495691 0.858561i −0.504297 0.863530i \(-0.668248\pi\)
0.999988 + 0.00496896i \(0.00158167\pi\)
\(138\) −9.93236 8.18799i −0.845499 0.697008i
\(139\) −4.75181 −0.403043 −0.201522 0.979484i \(-0.564589\pi\)
−0.201522 + 0.979484i \(0.564589\pi\)
\(140\) −26.2773 12.4153i −2.22084 1.04928i
\(141\) −7.61928 + 8.79312i −0.641659 + 0.740514i
\(142\) −0.192823 + 4.04786i −0.0161814 + 0.339689i
\(143\) 5.83263 + 4.58683i 0.487749 + 0.383570i
\(144\) 0.603088 + 12.6604i 0.0502574 + 1.05503i
\(145\) 3.24743 4.56038i 0.269684 0.378719i
\(146\) −4.93649 5.69701i −0.408546 0.471488i
\(147\) −5.38817 4.46852i −0.444409 0.368557i
\(148\) 18.3768 40.2395i 1.51056 3.30766i
\(149\) −3.59463 3.42747i −0.294483 0.280789i 0.528405 0.848992i \(-0.322790\pi\)
−0.822888 + 0.568203i \(0.807639\pi\)
\(150\) 0.344689 1.42083i 0.0281437 0.116010i
\(151\) −7.28325 10.2279i −0.592703 0.832335i 0.403891 0.914807i \(-0.367658\pi\)
−0.996593 + 0.0824727i \(0.973718\pi\)
\(152\) −26.7994 + 21.0752i −2.17371 + 1.70943i
\(153\) 4.01039 + 4.62823i 0.324220 + 0.374170i
\(154\) −10.5524 37.7443i −0.850338 3.04152i
\(155\) 9.49445 6.10171i 0.762612 0.490101i
\(156\) −6.49572 + 2.60049i −0.520074 + 0.208206i
\(157\) 3.52079 1.81509i 0.280990 0.144860i −0.311971 0.950092i \(-0.600989\pi\)
0.592961 + 0.805231i \(0.297959\pi\)
\(158\) −0.178590 0.516001i −0.0142078 0.0410508i
\(159\) 2.49226 + 10.2733i 0.197649 + 0.814722i
\(160\) 35.5019 2.80667
\(161\) −10.5941 + 6.98318i −0.834933 + 0.550352i
\(162\) 2.68405 0.210879
\(163\) −3.22496 13.2935i −0.252598 1.04122i −0.946897 0.321537i \(-0.895801\pi\)
0.694299 0.719687i \(-0.255715\pi\)
\(164\) 9.91502 + 28.6476i 0.774233 + 2.23700i
\(165\) −10.3541 + 5.33792i −0.806066 + 0.415556i
\(166\) 3.85874 1.54481i 0.299496 0.119900i
\(167\) 4.49901 2.89134i 0.348144 0.223738i −0.354868 0.934916i \(-0.615474\pi\)
0.703012 + 0.711178i \(0.251838\pi\)
\(168\) 22.0407 + 5.65100i 1.70048 + 0.435984i
\(169\) 7.32942 + 8.45860i 0.563802 + 0.650662i
\(170\) 27.2721 21.4470i 2.09167 1.64491i
\(171\) 2.29954 + 3.22926i 0.175850 + 0.246947i
\(172\) −10.9451 + 45.1165i −0.834559 + 3.44010i
\(173\) 6.23248 + 5.94265i 0.473846 + 0.451812i 0.888978 0.457950i \(-0.151416\pi\)
−0.415132 + 0.909761i \(0.636264\pi\)
\(174\) −2.95736 + 6.47572i −0.224197 + 0.490923i
\(175\) −1.23864 0.736732i −0.0936320 0.0556917i
\(176\) 45.8080 + 52.8653i 3.45291 + 3.98487i
\(177\) −0.116786 + 0.164003i −0.00877818 + 0.0123272i
\(178\) −0.285839 6.00049i −0.0214245 0.449756i
\(179\) 13.9725 + 10.9881i 1.04436 + 0.821290i 0.984229 0.176900i \(-0.0566070\pi\)
0.0601270 + 0.998191i \(0.480849\pi\)
\(180\) 0.522671 10.9722i 0.0389576 0.817820i
\(181\) 13.3533 15.4105i 0.992542 1.14545i 0.00317760 0.999995i \(-0.498989\pi\)
0.989364 0.145459i \(-0.0464660\pi\)
\(182\) 0.784094 + 9.51545i 0.0581209 + 0.705332i
\(183\) −2.49309 −0.184294
\(184\) 21.4393 35.2344i 1.58052 2.59751i
\(185\) −8.97111 + 15.5384i −0.659569 + 1.14241i
\(186\) −10.3866 + 9.90364i −0.761585 + 0.726170i
\(187\) 33.1872 + 6.39631i 2.42689 + 0.467745i
\(188\) −50.9378 32.7358i −3.71502 2.38750i
\(189\) 0.778290 2.52869i 0.0566123 0.183935i
\(190\) 18.8941 12.1425i 1.37072 0.880910i
\(191\) 3.28096 4.60746i 0.237402 0.333384i −0.678637 0.734474i \(-0.737429\pi\)
0.916039 + 0.401090i \(0.131368\pi\)
\(192\) −19.4373 + 3.74623i −1.40277 + 0.270361i
\(193\) −4.99624 2.00019i −0.359637 0.143977i 0.184805 0.982775i \(-0.440835\pi\)
−0.544443 + 0.838798i \(0.683259\pi\)
\(194\) −8.06145 + 0.769775i −0.578778 + 0.0552666i
\(195\) 2.72294 0.799528i 0.194994 0.0572554i
\(196\) 19.0274 31.0648i 1.35910 2.21892i
\(197\) 2.26950 4.96952i 0.161695 0.354063i −0.811391 0.584504i \(-0.801289\pi\)
0.973087 + 0.230440i \(0.0740166\pi\)
\(198\) 11.6438 9.15682i 0.827492 0.650747i
\(199\) 15.6810 3.02226i 1.11160 0.214243i 0.399782 0.916610i \(-0.369086\pi\)
0.711814 + 0.702368i \(0.247874\pi\)
\(200\) 4.66336 + 0.445297i 0.329749 + 0.0314872i
\(201\) −3.38908 1.74719i −0.239048 0.123238i
\(202\) −2.87306 + 19.9826i −0.202148 + 1.40597i
\(203\) 5.24334 + 4.66393i 0.368010 + 0.327344i
\(204\) −20.8706 + 24.0859i −1.46123 + 1.68635i
\(205\) −2.89877 11.9489i −0.202459 0.834546i
\(206\) 24.8119 42.9755i 1.72873 2.99424i
\(207\) −3.97373 2.68504i −0.276194 0.186623i
\(208\) −8.52056 14.7580i −0.590794 1.02329i
\(209\) 20.9926 + 6.16399i 1.45209 + 0.426372i
\(210\) −14.0999 5.08597i −0.972988 0.350965i
\(211\) −0.0234671 0.0150814i −0.00161554 0.00103824i 0.539833 0.841772i \(-0.318487\pi\)
−0.541448 + 0.840734i \(0.682124\pi\)
\(212\) −51.0734 + 20.4467i −3.50773 + 1.40428i
\(213\) 0.0718403 + 1.50811i 0.00492242 + 0.103334i
\(214\) −12.0530 1.15092i −0.823926 0.0786754i
\(215\) 6.15858 17.7940i 0.420011 1.21354i
\(216\) 1.22392 + 8.51252i 0.0832770 + 0.579204i
\(217\) 6.31858 + 12.6572i 0.428933 + 0.859224i
\(218\) 18.9366 5.56029i 1.28255 0.376590i
\(219\) −2.03262 1.93810i −0.137352 0.130965i
\(220\) −35.1650 49.3823i −2.37082 3.32936i
\(221\) −7.64392 3.06016i −0.514186 0.205849i
\(222\) 7.46220 21.5606i 0.500830 1.44705i
\(223\) −2.01096 4.40340i −0.134664 0.294873i 0.830272 0.557359i \(-0.188185\pi\)
−0.964936 + 0.262485i \(0.915458\pi\)
\(224\) −4.80480 + 44.2402i −0.321034 + 2.95592i
\(225\) 0.0775208 0.539169i 0.00516806 0.0359446i
\(226\) −2.31478 + 48.5933i −0.153977 + 3.23238i
\(227\) −2.45127 7.08248i −0.162696 0.470081i 0.833956 0.551830i \(-0.186070\pi\)
−0.996653 + 0.0817497i \(0.973949\pi\)
\(228\) −14.9313 + 14.2370i −0.988851 + 0.942868i
\(229\) −3.66222 6.34314i −0.242006 0.419167i 0.719280 0.694721i \(-0.244472\pi\)
−0.961286 + 0.275554i \(0.911139\pi\)
\(230\) −16.2657 + 21.7634i −1.07253 + 1.43504i
\(231\) −5.25044 13.6250i −0.345454 0.896462i
\(232\) −21.8864 6.42643i −1.43691 0.421916i
\(233\) −5.96282 1.14924i −0.390637 0.0752891i −0.00984907 0.999951i \(-0.503135\pi\)
−0.380788 + 0.924662i \(0.624347\pi\)
\(234\) −3.20753 + 1.65360i −0.209683 + 0.108099i
\(235\) 19.3043 + 15.1811i 1.25928 + 0.990306i
\(236\) −0.931302 0.480119i −0.0606226 0.0312531i
\(237\) −0.0845102 0.185052i −0.00548953 0.0120204i
\(238\) 23.0348 + 36.8873i 1.49313 + 2.39105i
\(239\) −0.00609507 0.0423922i −0.000394258 0.00274212i 0.989623 0.143686i \(-0.0458955\pi\)
−0.990018 + 0.140944i \(0.954986\pi\)
\(240\) 26.6321 2.54306i 1.71910 0.164154i
\(241\) −2.42570 + 9.99888i −0.156253 + 0.644085i 0.838774 + 0.544480i \(0.183273\pi\)
−0.995027 + 0.0996047i \(0.968242\pi\)
\(242\) 12.3131 50.7552i 0.791514 3.26267i
\(243\) 0.995472 0.0950560i 0.0638596 0.00609785i
\(244\) −1.84644 12.8423i −0.118206 0.822144i
\(245\) −8.88011 + 11.8090i −0.567329 + 0.754450i
\(246\) 6.49502 + 14.2221i 0.414107 + 0.906768i
\(247\) −4.73752 2.44236i −0.301441 0.155404i
\(248\) −36.1458 28.4254i −2.29526 1.80501i
\(249\) 1.37644 0.709602i 0.0872281 0.0449692i
\(250\) −30.8452 5.94493i −1.95082 0.375990i
\(251\) −27.3417 8.02826i −1.72579 0.506739i −0.739702 0.672935i \(-0.765034\pi\)
−0.986093 + 0.166195i \(0.946852\pi\)
\(252\) 13.6021 + 2.13629i 0.856852 + 0.134573i
\(253\) −26.3989 + 1.90852i −1.65968 + 0.119988i
\(254\) −13.4105 23.2276i −0.841447 1.45743i
\(255\) 9.35522 8.92018i 0.585847 0.558604i
\(256\) −4.16258 12.0270i −0.260161 0.751686i
\(257\) 1.37887 28.9460i 0.0860113 1.80560i −0.384416 0.923160i \(-0.625597\pi\)
0.470427 0.882439i \(-0.344100\pi\)
\(258\) −3.40758 + 23.7002i −0.212146 + 1.47551i
\(259\) −18.1488 13.2822i −1.12771 0.825313i
\(260\) 6.13518 + 13.4342i 0.380488 + 0.833152i
\(261\) −0.867500 + 2.50648i −0.0536969 + 0.155147i
\(262\) 12.7321 + 5.09717i 0.786593 + 0.314904i
\(263\) 6.99852 + 9.82805i 0.431547 + 0.606024i 0.971894 0.235419i \(-0.0756462\pi\)
−0.540347 + 0.841443i \(0.681707\pi\)
\(264\) 34.3506 + 32.7532i 2.11413 + 2.01582i
\(265\) 21.4094 6.28638i 1.31517 0.386169i
\(266\) 12.5741 + 25.1880i 0.770967 + 1.54437i
\(267\) −0.318521 2.21536i −0.0194932 0.135578i
\(268\) 6.49004 18.7517i 0.396442 1.14545i
\(269\) −23.4474 2.23895i −1.42961 0.136511i −0.648648 0.761089i \(-0.724665\pi\)
−0.780963 + 0.624577i \(0.785271\pi\)
\(270\) −0.269569 5.65896i −0.0164055 0.344393i
\(271\) −10.5437 + 4.22107i −0.640486 + 0.256412i −0.669093 0.743179i \(-0.733317\pi\)
0.0286068 + 0.999591i \(0.490893\pi\)
\(272\) −65.2985 41.9648i −3.95930 2.54449i
\(273\) 0.627799 + 3.50136i 0.0379961 + 0.211912i
\(274\) 29.8836 + 8.77463i 1.80534 + 0.530095i
\(275\) −1.50311 2.60347i −0.0906412 0.156995i
\(276\) 10.8880 22.4580i 0.655382 1.35181i
\(277\) 2.48035 4.29610i 0.149030 0.258128i −0.781839 0.623480i \(-0.785718\pi\)
0.930869 + 0.365353i \(0.119052\pi\)
\(278\) −3.00689 12.3946i −0.180341 0.743378i
\(279\) −3.50150 + 4.04094i −0.209629 + 0.241925i
\(280\) 9.70073 47.0374i 0.579730 2.81102i
\(281\) 3.76430 26.1813i 0.224559 1.56184i −0.495920 0.868368i \(-0.665169\pi\)
0.720480 0.693476i \(-0.243922\pi\)
\(282\) −27.7573 14.3099i −1.65292 0.852142i
\(283\) −2.54089 0.242625i −0.151040 0.0144226i 0.0192620 0.999814i \(-0.493868\pi\)
−0.170302 + 0.985392i \(0.554474\pi\)
\(284\) −7.71534 + 1.48701i −0.457821 + 0.0882377i
\(285\) 6.57750 5.17260i 0.389617 0.306398i
\(286\) −8.27343 + 18.1163i −0.489218 + 1.07124i
\(287\) 15.2822 1.99510i 0.902081 0.117767i
\(288\) −16.1382 + 4.73861i −0.950954 + 0.279225i
\(289\) −20.4109 + 1.94900i −1.20064 + 0.114647i
\(290\) 13.9502 + 5.58481i 0.819183 + 0.327952i
\(291\) −2.96260 + 0.570994i −0.173671 + 0.0334723i
\(292\) 8.47807 11.9058i 0.496142 0.696733i
\(293\) 19.2970 12.4014i 1.12734 0.724499i 0.162338 0.986735i \(-0.448096\pi\)
0.965004 + 0.262237i \(0.0844601\pi\)
\(294\) 8.24607 16.8821i 0.480921 0.984583i
\(295\) 0.357508 + 0.229756i 0.0208149 + 0.0133769i
\(296\) 71.7827 + 13.8350i 4.17228 + 0.804142i
\(297\) 3.99423 3.80849i 0.231769 0.220991i
\(298\) 6.66555 11.5451i 0.386125 0.668788i
\(299\) 6.40295 + 0.760565i 0.370292 + 0.0439846i
\(300\) 2.83476 0.163665
\(301\) 21.3403 + 10.0826i 1.23003 + 0.581154i
\(302\) 22.0696 25.4697i 1.26996 1.46562i
\(303\) −0.357887 + 7.51297i −0.0205601 + 0.431609i
\(304\) −39.4968 31.0606i −2.26530 1.78145i
\(305\) 0.250390 + 5.25634i 0.0143373 + 0.300977i
\(306\) −9.53452 + 13.3894i −0.545052 + 0.765419i
\(307\) −15.6698 18.0840i −0.894325 1.03211i −0.999292 0.0376308i \(-0.988019\pi\)
0.104966 0.994476i \(-0.466527\pi\)
\(308\) 66.2962 37.1369i 3.77758 2.11607i
\(309\) 7.68036 16.8176i 0.436920 0.956722i
\(310\) 21.9236 + 20.9041i 1.24518 + 1.18728i
\(311\) −6.06042 + 24.9814i −0.343655 + 1.41656i 0.493570 + 0.869706i \(0.335692\pi\)
−0.837225 + 0.546859i \(0.815823\pi\)
\(312\) −6.70704 9.41872i −0.379711 0.533230i
\(313\) 0.769239 0.604936i 0.0434799 0.0341930i −0.596183 0.802849i \(-0.703317\pi\)
0.639662 + 0.768656i \(0.279074\pi\)
\(314\) 6.96240 + 8.03503i 0.392911 + 0.453443i
\(315\) −5.40956 1.38695i −0.304794 0.0781459i
\(316\) 0.890641 0.572380i 0.0501024 0.0321989i
\(317\) −26.5088 + 10.6125i −1.48888 + 0.596058i −0.966503 0.256655i \(-0.917379\pi\)
−0.522379 + 0.852714i \(0.674955\pi\)
\(318\) −25.2196 + 13.0016i −1.41424 + 0.729094i
\(319\) 4.78766 + 13.8330i 0.268057 + 0.774501i
\(320\) 9.85059 + 40.6047i 0.550664 + 2.26987i
\(321\) −4.51102 −0.251781
\(322\) −24.9187 23.2147i −1.38867 1.29371i
\(323\) −24.2777 −1.35085
\(324\) 1.22692 + 5.05744i 0.0681623 + 0.280969i
\(325\) 0.239533 + 0.692085i 0.0132869 + 0.0383900i
\(326\) 32.6338 16.8239i 1.80742 0.931790i
\(327\) 6.82636 2.73286i 0.377499 0.151128i
\(328\) −42.1440 + 27.0843i −2.32701 + 1.49548i
\(329\) −21.5303 + 22.0012i −1.18700 + 1.21297i
\(330\) −20.4753 23.6298i −1.12713 1.30078i
\(331\) −15.7329 + 12.3725i −0.864758 + 0.680053i −0.948618 0.316424i \(-0.897518\pi\)
0.0838597 + 0.996478i \(0.473275\pi\)
\(332\) 4.67470 + 6.56470i 0.256557 + 0.360284i
\(333\) 2.00404 8.26076i 0.109821 0.452687i
\(334\) 10.3887 + 9.90558i 0.568443 + 0.542009i
\(335\) −3.34334 + 7.32090i −0.182666 + 0.399984i
\(336\) −0.435374 + 33.5314i −0.0237516 + 1.82929i
\(337\) −6.69751 7.72934i −0.364837 0.421044i 0.543418 0.839462i \(-0.317130\pi\)
−0.908254 + 0.418419i \(0.862585\pi\)
\(338\) −17.4254 + 24.4705i −0.947816 + 1.33102i
\(339\) 0.862421 + 18.1044i 0.0468403 + 0.983298i
\(340\) 52.8780 + 41.5838i 2.86771 + 2.25520i
\(341\) −1.40411 + 29.4759i −0.0760367 + 1.59621i
\(342\) −6.96804 + 8.04155i −0.376789 + 0.434837i
\(343\) −13.5138 12.6640i −0.729676 0.683793i
\(344\) −76.7195 −4.13644
\(345\) −5.26195 + 8.64775i −0.283294 + 0.465579i
\(346\) −11.5569 + 20.0172i −0.621305 + 1.07613i
\(347\) 23.8248 22.7169i 1.27898 1.21951i 0.316368 0.948636i \(-0.397536\pi\)
0.962615 0.270872i \(-0.0873120\pi\)
\(348\) −13.5538 2.61227i −0.726558 0.140033i
\(349\) −6.37165 4.09481i −0.341067 0.219190i 0.358883 0.933383i \(-0.383158\pi\)
−0.699949 + 0.714192i \(0.746794\pi\)
\(350\) 1.13789 3.69704i 0.0608228 0.197615i
\(351\) −1.13106 + 0.726888i −0.0603715 + 0.0387984i
\(352\) −53.8441 + 75.6135i −2.86990 + 4.03021i
\(353\) −14.8209 + 2.85649i −0.788835 + 0.152035i −0.567730 0.823215i \(-0.692178\pi\)
−0.221104 + 0.975250i \(0.570966\pi\)
\(354\) −0.501686 0.200845i −0.0266643 0.0106748i
\(355\) 3.17244 0.302931i 0.168376 0.0160779i
\(356\) 11.1758 3.28151i 0.592316 0.173920i
\(357\) 9.84962 + 12.8651i 0.521297 + 0.680894i
\(358\) −19.8197 + 43.3990i −1.04750 + 2.29371i
\(359\) −1.77922 + 1.39920i −0.0939038 + 0.0738468i −0.664007 0.747726i \(-0.731146\pi\)
0.570103 + 0.821573i \(0.306903\pi\)
\(360\) 17.8246 3.43541i 0.939438 0.181062i
\(361\) 3.26913 + 0.312165i 0.172060 + 0.0164297i
\(362\) 48.6465 + 25.0790i 2.55680 + 1.31812i
\(363\) 2.76922 19.2604i 0.145346 1.01091i
\(364\) −17.5711 + 5.82709i −0.920976 + 0.305422i
\(365\) −3.88208 + 4.48016i −0.203198 + 0.234502i
\(366\) −1.57760 6.50295i −0.0824624 0.339915i
\(367\) 11.0193 19.0859i 0.575201 0.996278i −0.420818 0.907145i \(-0.638257\pi\)
0.996020 0.0891331i \(-0.0284096\pi\)
\(368\) 57.9138 + 18.4639i 3.01897 + 0.962497i
\(369\) 2.91258 + 5.04473i 0.151623 + 0.262618i
\(370\) −46.2071 13.5676i −2.40219 0.705347i
\(371\) 4.93614 + 27.5298i 0.256272 + 1.42928i
\(372\) −23.4089 15.0440i −1.21369 0.779993i
\(373\) −6.71791 + 2.68945i −0.347840 + 0.139254i −0.539002 0.842304i \(-0.681199\pi\)
0.191162 + 0.981558i \(0.438774\pi\)
\(374\) 4.31642 + 90.6128i 0.223197 + 4.68548i
\(375\) −11.6505 1.11249i −0.601631 0.0574488i
\(376\) 32.7269 94.5581i 1.68776 4.87646i
\(377\) −0.507505 3.52977i −0.0261378 0.181793i
\(378\) 7.08831 + 0.429959i 0.364583 + 0.0221147i
\(379\) 11.2541 3.30449i 0.578083 0.169740i 0.0203961 0.999792i \(-0.493507\pi\)
0.557687 + 0.830052i \(0.311689\pi\)
\(380\) 31.5164 + 30.0508i 1.61676 + 1.54157i
\(381\) −5.79633 8.13981i −0.296955 0.417015i
\(382\) 14.0942 + 5.64247i 0.721123 + 0.288694i
\(383\) 2.42045 6.99343i 0.123679 0.357347i −0.866116 0.499842i \(-0.833391\pi\)
0.989796 + 0.142495i \(0.0455125\pi\)
\(384\) −8.09719 17.7304i −0.413208 0.904799i
\(385\) −28.1992 + 12.4383i −1.43717 + 0.633912i
\(386\) 2.05572 14.2979i 0.104634 0.727742i
\(387\) −0.424469 + 8.91071i −0.0215770 + 0.452957i
\(388\) −5.13546 14.8379i −0.260714 0.753283i
\(389\) −17.2416 + 16.4398i −0.874182 + 0.833531i −0.987105 0.160073i \(-0.948827\pi\)
0.112923 + 0.993604i \(0.463979\pi\)
\(390\) 3.80853 + 6.59657i 0.192852 + 0.334030i
\(391\) 27.5101 10.2849i 1.39125 0.520129i
\(392\) 57.3021 + 18.4544i 2.89419 + 0.932089i
\(393\) 4.90266 + 1.43955i 0.247306 + 0.0726157i
\(394\) 14.3986 + 2.77510i 0.725389 + 0.139807i
\(395\) −0.381668 + 0.196764i −0.0192038 + 0.00990026i
\(396\) 22.5764 + 17.7542i 1.13450 + 0.892185i
\(397\) −8.45634 4.35955i −0.424412 0.218799i 0.232770 0.972532i \(-0.425221\pi\)
−0.657181 + 0.753732i \(0.728251\pi\)
\(398\) 17.8060 + 38.9897i 0.892534 + 1.95438i
\(399\) 5.55556 + 8.89650i 0.278126 + 0.445382i
\(400\) 0.982556 + 6.83383i 0.0491278 + 0.341691i
\(401\) 5.87548 0.561040i 0.293407 0.0280170i 0.0526856 0.998611i \(-0.483222\pi\)
0.240722 + 0.970594i \(0.422616\pi\)
\(402\) 2.41279 9.94567i 0.120339 0.496045i
\(403\) 1.69485 6.98628i 0.0844266 0.348011i
\(404\) −38.9656 + 3.72076i −1.93861 + 0.185115i
\(405\) −0.300392 2.08927i −0.0149266 0.103817i
\(406\) −8.84743 + 16.6280i −0.439091 + 0.825232i
\(407\) −19.4883 42.6734i −0.965999 2.11524i
\(408\) −46.8123 24.1334i −2.31755 1.19478i
\(409\) −17.4844 13.7499i −0.864550 0.679889i 0.0840178 0.996464i \(-0.473225\pi\)
−0.948568 + 0.316575i \(0.897467\pi\)
\(410\) 29.3331 15.1222i 1.44866 0.746834i
\(411\) 11.3941 + 2.19604i 0.562031 + 0.108323i
\(412\) 92.3186 + 27.1072i 4.54821 + 1.33548i
\(413\) −0.334692 + 0.414408i −0.0164691 + 0.0203917i
\(414\) 4.48910 12.0641i 0.220627 0.592919i
\(415\) −1.63434 2.83076i −0.0802266 0.138957i
\(416\) 16.3664 15.6053i 0.802426 0.765112i
\(417\) −1.55416 4.49046i −0.0761078 0.219899i
\(418\) −2.79420 + 58.6575i −0.136669 + 2.86903i
\(419\) −4.85174 + 33.7446i −0.237023 + 1.64853i 0.429515 + 0.903060i \(0.358685\pi\)
−0.666538 + 0.745471i \(0.732225\pi\)
\(420\) 3.13796 28.8928i 0.153117 1.40982i
\(421\) −12.3622 27.0694i −0.602496 1.31928i −0.927590 0.373601i \(-0.878123\pi\)
0.325093 0.945682i \(-0.394604\pi\)
\(422\) 0.0244884 0.0707547i 0.00119208 0.00344428i
\(423\) −10.8015 4.32428i −0.525188 0.210254i
\(424\) −52.7349 74.0558i −2.56103 3.59647i
\(425\) 2.41426 + 2.30199i 0.117109 + 0.111663i
\(426\) −3.88829 + 1.14171i −0.188388 + 0.0553158i
\(427\) −6.58399 0.399368i −0.318622 0.0193268i
\(428\) −3.34098 23.2370i −0.161492 1.12320i
\(429\) −2.42689 + 7.01204i −0.117171 + 0.338545i
\(430\) 50.3109 + 4.80411i 2.42621 + 0.231675i
\(431\) −0.401780 8.43440i −0.0193531 0.406271i −0.987670 0.156548i \(-0.949963\pi\)
0.968317 0.249723i \(-0.0803396\pi\)
\(432\) −11.7668 + 4.71072i −0.566131 + 0.226645i
\(433\) 1.86064 + 1.19576i 0.0894169 + 0.0574647i 0.584585 0.811332i \(-0.301257\pi\)
−0.495168 + 0.868797i \(0.664894\pi\)
\(434\) −29.0165 + 24.4906i −1.39284 + 1.17559i
\(435\) 5.37169 + 1.57727i 0.257553 + 0.0756243i
\(436\) 19.1332 + 33.1397i 0.916314 + 1.58710i
\(437\) 18.3607 4.93489i 0.878311 0.236068i
\(438\) 3.76911 6.52829i 0.180095 0.311934i
\(439\) 6.17918 + 25.4709i 0.294916 + 1.21566i 0.905719 + 0.423878i \(0.139332\pi\)
−0.610803 + 0.791782i \(0.709153\pi\)
\(440\) 65.6058 75.7131i 3.12763 3.60948i
\(441\) 2.46045 6.55333i 0.117165 0.312063i
\(442\) 3.14512 21.8748i 0.149598 1.04048i
\(443\) 0.739435 + 0.381205i 0.0351316 + 0.0181116i 0.475703 0.879606i \(-0.342194\pi\)
−0.440571 + 0.897718i \(0.645224\pi\)
\(444\) 44.0368 + 4.20500i 2.08989 + 0.199561i
\(445\) −4.63880 + 0.894056i −0.219900 + 0.0423823i
\(446\) 10.2133 8.03181i 0.483613 0.380317i
\(447\) 2.06328 4.51794i 0.0975896 0.213691i
\(448\) −51.9320 + 6.77975i −2.45356 + 0.320313i
\(449\) 2.06768 0.607127i 0.0975800 0.0286521i −0.232578 0.972578i \(-0.574716\pi\)
0.330158 + 0.943926i \(0.392898\pi\)
\(450\) 1.45542 0.138976i 0.0686091 0.00655138i
\(451\) 29.8457 + 11.9484i 1.40538 + 0.562628i
\(452\) −92.6202 + 17.8511i −4.35649 + 0.839644i
\(453\) 7.28325 10.2279i 0.342197 0.480549i
\(454\) 16.9227 10.8756i 0.794224 0.510417i
\(455\) 7.31909 1.67528i 0.343124 0.0785385i
\(456\) −28.6813 18.4324i −1.34313 0.863175i
\(457\) 12.9757 + 2.50087i 0.606979 + 0.116986i 0.483475 0.875358i \(-0.339375\pi\)
0.123505 + 0.992344i \(0.460587\pi\)
\(458\) 14.2280 13.5664i 0.664831 0.633915i
\(459\) −3.06201 + 5.30356i −0.142923 + 0.247549i
\(460\) −48.4431 20.7004i −2.25867 0.965161i
\(461\) 17.6304 0.821130 0.410565 0.911831i \(-0.365332\pi\)
0.410565 + 0.911831i \(0.365332\pi\)
\(462\) 32.2170 22.3170i 1.49887 1.03828i
\(463\) 10.6443 12.2842i 0.494682 0.570893i −0.452429 0.891800i \(-0.649442\pi\)
0.947111 + 0.320907i \(0.103988\pi\)
\(464\) 1.59960 33.5798i 0.0742597 1.55890i
\(465\) 8.87145 + 6.97659i 0.411404 + 0.323531i
\(466\) −0.775540 16.2806i −0.0359262 0.754184i
\(467\) 11.0567 15.5269i 0.511642 0.718501i −0.475255 0.879848i \(-0.657644\pi\)
0.986898 + 0.161347i \(0.0515837\pi\)
\(468\) −4.58201 5.28792i −0.211804 0.244434i
\(469\) −8.67034 5.15706i −0.400359 0.238131i
\(470\) −27.3827 + 59.9597i −1.26307 + 2.76574i
\(471\) 2.86680 + 2.73349i 0.132095 + 0.125953i
\(472\) 0.408216 1.68269i 0.0187897 0.0774521i
\(473\) 28.5581 + 40.1042i 1.31310 + 1.84399i
\(474\) 0.429210 0.337535i 0.0197143 0.0155035i
\(475\) 1.41413 + 1.63199i 0.0648846 + 0.0748808i
\(476\) −58.9754 + 60.2652i −2.70313 + 2.76225i
\(477\) −8.89309 + 5.71524i −0.407187 + 0.261683i
\(478\) 0.106719 0.0427237i 0.00488119 0.00195413i
\(479\) 5.68796 2.93235i 0.259889 0.133982i −0.323358 0.946277i \(-0.604812\pi\)
0.583248 + 0.812294i \(0.301782\pi\)
\(480\) 11.6115 + 33.5493i 0.529992 + 1.53131i
\(481\) 2.69442 + 11.1065i 0.122855 + 0.506415i
\(482\) −27.6160 −1.25787
\(483\) −10.0641 7.72747i −0.457933 0.351612i
\(484\) 101.264 4.60292
\(485\) 1.50141 + 6.18889i 0.0681755 + 0.281023i
\(486\) 0.877867 + 2.53643i 0.0398209 + 0.115055i
\(487\) −32.9541 + 16.9890i −1.49329 + 0.769846i −0.995254 0.0973097i \(-0.968976\pi\)
−0.498038 + 0.867155i \(0.665946\pi\)
\(488\) 19.9049 7.96870i 0.901051 0.360726i
\(489\) 11.5075 7.39545i 0.520389 0.334434i
\(490\) −36.4218 15.6902i −1.64537 0.708810i
\(491\) 11.6918 + 13.4931i 0.527644 + 0.608933i 0.955528 0.294900i \(-0.0952864\pi\)
−0.427884 + 0.903834i \(0.640741\pi\)
\(492\) −23.8291 + 18.7394i −1.07430 + 0.844838i
\(493\) −9.42191 13.2312i −0.424342 0.595904i
\(494\) 3.37279 13.9028i 0.151749 0.625517i
\(495\) −8.43083 8.03878i −0.378938 0.361316i
\(496\) 28.1531 61.6467i 1.26411 2.76802i
\(497\) −0.0518621 + 3.99428i −0.00232633 + 0.179168i
\(498\) 2.72191 + 3.14126i 0.121972 + 0.140763i
\(499\) −24.7431 + 34.7469i −1.10765 + 1.55548i −0.311646 + 0.950198i \(0.600880\pi\)
−0.796008 + 0.605286i \(0.793059\pi\)
\(500\) −2.89806 60.8378i −0.129605 2.72075i
\(501\) 4.20380 + 3.30590i 0.187812 + 0.147697i
\(502\) 3.63929 76.3982i 0.162430 3.40982i
\(503\) −4.38985 + 5.06616i −0.195734 + 0.225889i −0.845129 0.534562i \(-0.820477\pi\)
0.649395 + 0.760451i \(0.275022\pi\)
\(504\) 1.86861 + 22.6768i 0.0832347 + 1.01010i
\(505\) 15.8760 0.706474
\(506\) −21.6831 67.6510i −0.963932 3.00745i
\(507\) −5.59617 + 9.69285i −0.248535 + 0.430474i
\(508\) 37.6366 35.8864i 1.66985 1.59220i
\(509\) −24.5457 4.73080i −1.08797 0.209689i −0.386430 0.922319i \(-0.626292\pi\)
−0.701541 + 0.712629i \(0.747504\pi\)
\(510\) 29.1872 + 18.7575i 1.29243 + 0.830596i
\(511\) −5.05749 5.44394i −0.223730 0.240826i
\(512\) −4.05805 + 2.60795i −0.179342 + 0.115256i
\(513\) −2.29954 + 3.22926i −0.101527 + 0.142575i
\(514\) 76.3749 14.7201i 3.36875 0.649274i
\(515\) −36.2291 14.5039i −1.59644 0.639120i
\(516\) −46.2149 + 4.41299i −2.03450 + 0.194271i
\(517\) −61.6113 + 18.0907i −2.70966 + 0.795629i
\(518\) 23.1607 55.7440i 1.01762 2.44925i
\(519\) −3.57737 + 7.83335i −0.157029 + 0.343846i
\(520\) −19.1845 + 15.0868i −0.841295 + 0.661602i
\(521\) −21.0360 + 4.05436i −0.921604 + 0.177625i −0.627920 0.778278i \(-0.716093\pi\)
−0.293684 + 0.955903i \(0.594881\pi\)
\(522\) −7.08682 0.676709i −0.310182 0.0296187i
\(523\) 15.9024 + 8.19826i 0.695364 + 0.358485i 0.769397 0.638771i \(-0.220557\pi\)
−0.0740334 + 0.997256i \(0.523587\pi\)
\(524\) −3.78432 + 26.3206i −0.165319 + 1.14982i
\(525\) 0.291094 1.41147i 0.0127044 0.0616017i
\(526\) −21.2068 + 24.4740i −0.924661 + 1.06712i
\(527\) −7.71988 31.8218i −0.336283 1.38618i
\(528\) −34.9754 + 60.5792i −1.52211 + 2.63637i
\(529\) −18.7147 + 13.3702i −0.813681 + 0.581311i
\(530\) 29.9450 + 51.8663i 1.30073 + 2.25293i
\(531\) −0.193180 0.0567228i −0.00838330 0.00246156i
\(532\) −41.7127 + 35.2066i −1.80848 + 1.52640i
\(533\) −6.58860 4.23423i −0.285384 0.183405i
\(534\) 5.57698 2.23269i 0.241339 0.0966177i
\(535\) 0.453059 + 9.51088i 0.0195874 + 0.411191i
\(536\) 32.6431 + 3.11704i 1.40997 + 0.134636i
\(537\) −5.81381 + 16.7979i −0.250885 + 0.724883i
\(538\) −8.99717 62.5767i −0.387896 2.69787i
\(539\) −11.6833 36.8234i −0.503235 1.58610i
\(540\) 10.5397 3.09473i 0.453556 0.133176i
\(541\) 16.5832 + 15.8120i 0.712965 + 0.679811i 0.957043 0.289945i \(-0.0936369\pi\)
−0.244078 + 0.969756i \(0.578485\pi\)
\(542\) −17.6822 24.8311i −0.759514 1.06659i
\(543\) 18.9304 + 7.57858i 0.812380 + 0.325228i
\(544\) 33.6891 97.3382i 1.44441 4.17334i
\(545\) −6.44747 14.1180i −0.276179 0.604748i
\(546\) −8.73565 + 3.85317i −0.373852 + 0.164900i
\(547\) −1.27783 + 8.88751i −0.0546361 + 0.380002i 0.944096 + 0.329669i \(0.106937\pi\)
−0.998732 + 0.0503328i \(0.983972\pi\)
\(548\) −2.87337 + 60.3194i −0.122744 + 2.57672i
\(549\) −0.815409 2.35597i −0.0348008 0.100550i
\(550\) 5.83972 5.56816i 0.249006 0.237427i
\(551\) −5.25741 9.10611i −0.223973 0.387933i
\(552\) 40.3086 + 8.73609i 1.71565 + 0.371833i
\(553\) −0.193539 0.502240i −0.00823013 0.0213574i
\(554\) 12.7755 + 3.75121i 0.542777 + 0.159374i
\(555\) −17.6180 3.39559i −0.747841 0.144135i
\(556\) 21.9801 11.3315i 0.932162 0.480563i
\(557\) 23.1885 + 18.2356i 0.982527 + 0.772668i 0.973826 0.227294i \(-0.0729879\pi\)
0.00870117 + 0.999962i \(0.497230\pi\)
\(558\) −12.7561 6.57622i −0.540008 0.278393i
\(559\) −4.98248 10.9101i −0.210736 0.461448i
\(560\) 70.7401 2.44976i 2.98931 0.103521i
\(561\) 4.80996 + 33.4540i 0.203076 + 1.41243i
\(562\) 70.6731 6.74846i 2.98116 0.284667i
\(563\) 0.624413 2.57386i 0.0263159 0.108475i −0.957139 0.289629i \(-0.906468\pi\)
0.983455 + 0.181154i \(0.0579832\pi\)
\(564\) 14.2752 58.8431i 0.601094 2.47774i
\(565\) 38.0841 3.63659i 1.60221 0.152993i
\(566\) −0.974984 6.78116i −0.0409816 0.285034i
\(567\) 2.64417 0.0915685i 0.111045 0.00384551i
\(568\) −5.39399 11.8112i −0.226327 0.495586i
\(569\) −34.7448 17.9122i −1.45658 0.750918i −0.465606 0.884992i \(-0.654164\pi\)
−0.990971 + 0.134074i \(0.957194\pi\)
\(570\) 17.6543 + 13.8835i 0.739459 + 0.581517i
\(571\) 0.569378 0.293535i 0.0238277 0.0122841i −0.446271 0.894898i \(-0.647248\pi\)
0.470099 + 0.882614i \(0.344218\pi\)
\(572\) −37.9176 7.30802i −1.58541 0.305564i
\(573\) 5.42715 + 1.59356i 0.226722 + 0.0665717i
\(574\) 14.8744 + 38.5996i 0.620847 + 1.61111i
\(575\) −2.29377 1.25020i −0.0956569 0.0521370i
\(576\) −9.89751 17.1430i −0.412396 0.714291i
\(577\) −1.74711 + 1.66587i −0.0727333 + 0.0693511i −0.725574 0.688144i \(-0.758426\pi\)
0.652841 + 0.757495i \(0.273577\pi\)
\(578\) −17.9996 52.0063i −0.748683 2.16318i
\(579\) 0.256074 5.37565i 0.0106421 0.223405i
\(580\) −4.14637 + 28.8386i −0.172169 + 1.19746i
\(581\) 3.74870 1.65349i 0.155522 0.0685985i
\(582\) −3.36408 7.36631i −0.139446 0.305343i
\(583\) −19.0817 + 55.1330i −0.790284 + 2.28338i
\(584\) 22.4233 + 8.97694i 0.927883 + 0.371468i
\(585\) 1.64614 + 2.31168i 0.0680596 + 0.0955763i
\(586\) 44.5587 + 42.4866i 1.84070 + 1.75511i
\(587\) −3.37408 + 0.990718i −0.139263 + 0.0408913i −0.350621 0.936517i \(-0.614030\pi\)
0.211358 + 0.977409i \(0.432211\pi\)
\(588\) 35.5796 + 7.82064i 1.46728 + 0.322518i
\(589\) −3.01666 20.9813i −0.124299 0.864520i
\(590\) −0.373067 + 1.07791i −0.0153589 + 0.0443767i
\(591\) 5.43848 + 0.519312i 0.223709 + 0.0213616i
\(592\) 5.12648 + 107.618i 0.210697 + 4.42307i
\(593\) −34.0586 + 13.6350i −1.39862 + 0.559922i −0.943757 0.330640i \(-0.892735\pi\)
−0.454862 + 0.890562i \(0.650311\pi\)
\(594\) 12.4615 + 8.00854i 0.511303 + 0.328594i
\(595\) 26.1351 22.0587i 1.07143 0.904318i
\(596\) 24.8008 + 7.28216i 1.01588 + 0.298289i
\(597\) 7.98479 + 13.8301i 0.326796 + 0.566027i
\(598\) 2.06787 + 17.1827i 0.0845614 + 0.702653i
\(599\) −18.4137 + 31.8934i −0.752363 + 1.30313i 0.194312 + 0.980940i \(0.437753\pi\)
−0.946675 + 0.322191i \(0.895581\pi\)
\(600\) 1.10443 + 4.55252i 0.0450881 + 0.185856i
\(601\) −24.7578 + 28.5720i −1.00989 + 1.16547i −0.0237231 + 0.999719i \(0.507552\pi\)
−0.986167 + 0.165756i \(0.946993\pi\)
\(602\) −12.7956 + 62.0440i −0.521510 + 2.52872i
\(603\) 0.542639 3.77414i 0.0220980 0.153695i
\(604\) 58.0797 + 29.9422i 2.36323 + 1.21833i
\(605\) −40.8860 3.90414i −1.66225 0.158726i
\(606\) −19.8232 + 3.82062i −0.805264 + 0.155202i
\(607\) 13.9431 10.9650i 0.565932 0.445054i −0.293751 0.955882i \(-0.594904\pi\)
0.859683 + 0.510828i \(0.170661\pi\)
\(608\) 27.6992 60.6528i 1.12335 2.45979i
\(609\) −2.69249 + 6.48038i −0.109105 + 0.262598i
\(610\) −13.5521 + 3.97927i −0.548710 + 0.161116i
\(611\) 15.5723 1.48698i 0.629988 0.0601566i
\(612\) −29.5873 11.8450i −1.19600 0.478805i
\(613\) 41.6004 8.01782i 1.68023 0.323837i 0.742141 0.670244i \(-0.233810\pi\)
0.938084 + 0.346407i \(0.112598\pi\)
\(614\) 37.2544 52.3165i 1.50346 2.11132i
\(615\) 10.3436 6.64743i 0.417094 0.268050i
\(616\) 85.4696 + 92.0005i 3.44367 + 3.70681i
\(617\) 4.15126 + 2.66785i 0.167124 + 0.107404i 0.621529 0.783391i \(-0.286512\pi\)
−0.454405 + 0.890795i \(0.650148\pi\)
\(618\) 48.7270 + 9.39137i 1.96009 + 0.377776i
\(619\) 18.2805 17.4305i 0.734757 0.700589i −0.227182 0.973852i \(-0.572951\pi\)
0.961939 + 0.273263i \(0.0881029\pi\)
\(620\) −29.3671 + 50.8653i −1.17941 + 2.04280i
\(621\) 1.23768 4.63337i 0.0496665 0.185931i
\(622\) −68.9962 −2.76650
\(623\) −0.486302 5.90157i −0.0194833 0.236441i
\(624\) 11.1596 12.8788i 0.446740 0.515565i
\(625\) −1.04584 + 21.9548i −0.0418335 + 0.878193i
\(626\) 2.06468 + 1.62368i 0.0825211 + 0.0648953i
\(627\) 1.04104 + 21.8541i 0.0415750 + 0.872768i
\(628\) −11.9574 + 16.7919i −0.477153 + 0.670068i
\(629\) 34.0898 + 39.3417i 1.35925 + 1.56866i
\(630\) 0.194604 14.9879i 0.00775322 0.597133i
\(631\) 9.03841 19.7914i 0.359814 0.787882i −0.639996 0.768378i \(-0.721064\pi\)
0.999810 0.0195037i \(-0.00620860\pi\)
\(632\) 1.26622 + 1.20733i 0.0503673 + 0.0480252i
\(633\) 0.00657658 0.0271090i 0.000261396 0.00107749i
\(634\) −44.4561 62.4298i −1.76558 2.47941i
\(635\) −16.5795 + 13.0383i −0.657939 + 0.517409i
\(636\) −36.0266 41.5769i −1.42855 1.64863i
\(637\) 1.09707 + 9.34730i 0.0434674 + 0.370353i
\(638\) −33.0524 + 21.2415i −1.30856 + 0.840958i
\(639\) −1.40167 + 0.561145i −0.0554493 + 0.0221986i
\(640\) −36.5688 + 18.8525i −1.44551 + 0.745212i
\(641\) 6.40186 + 18.4970i 0.252858 + 0.730586i 0.997972 + 0.0636491i \(0.0202738\pi\)
−0.745114 + 0.666937i \(0.767605\pi\)
\(642\) −2.85453 11.7665i −0.112659 0.464387i
\(643\) 22.4360 0.884788 0.442394 0.896821i \(-0.354129\pi\)
0.442394 + 0.896821i \(0.354129\pi\)
\(644\) 32.3517 57.5650i 1.27484 2.26838i
\(645\) 18.8297 0.741417
\(646\) −15.3627 63.3259i −0.604437 2.49152i
\(647\) 13.2823 + 38.3766i 0.522180 + 1.50874i 0.830259 + 0.557378i \(0.188193\pi\)
−0.308079 + 0.951361i \(0.599686\pi\)
\(648\) −7.64404 + 3.94078i −0.300286 + 0.154808i
\(649\) −1.03156 + 0.412974i −0.0404923 + 0.0162107i
\(650\) −1.65365 + 1.06274i −0.0648617 + 0.0416841i
\(651\) −9.89442 + 10.1108i −0.387793 + 0.396274i
\(652\) 46.6179 + 53.8000i 1.82570 + 2.10697i
\(653\) 30.4868 23.9751i 1.19304 0.938218i 0.193958 0.981010i \(-0.437868\pi\)
0.999084 + 0.0427914i \(0.0136251\pi\)
\(654\) 11.4480 + 16.0765i 0.447653 + 0.628641i
\(655\) 2.54270 10.4812i 0.0993517 0.409533i
\(656\) −53.4349 50.9501i −2.08628 1.98927i
\(657\) 1.16670 2.55472i 0.0455174 0.0996692i
\(658\) −71.0119 42.2374i −2.76833 1.64659i
\(659\) −4.00222 4.61881i −0.155905 0.179923i 0.672424 0.740166i \(-0.265253\pi\)
−0.828328 + 0.560243i \(0.810708\pi\)
\(660\) 35.1650 49.3823i 1.36880 1.92220i
\(661\) −1.99995 41.9842i −0.0777892 1.63300i −0.614279 0.789089i \(-0.710553\pi\)
0.536490 0.843907i \(-0.319750\pi\)
\(662\) −42.2279 33.2084i −1.64123 1.29068i
\(663\) 0.391776 8.22439i 0.0152153 0.319409i
\(664\) −8.72138 + 10.0650i −0.338455 + 0.390598i
\(665\) 18.1991 12.6067i 0.705731 0.488865i
\(666\) 22.8155 0.884081
\(667\) 9.81506 + 8.09129i 0.380041 + 0.313296i
\(668\) −13.9158 + 24.1029i −0.538419 + 0.932569i
\(669\) 3.50349 3.34057i 0.135453 0.129154i
\(670\) −21.2114 4.08817i −0.819469 0.157940i
\(671\) −11.5749 7.43875i −0.446845 0.287170i
\(672\) −43.3785 + 9.92900i −1.67336 + 0.383020i
\(673\) −33.5354 + 21.5519i −1.29270 + 0.830766i −0.992397 0.123079i \(-0.960723\pi\)
−0.300300 + 0.953845i \(0.597087\pi\)
\(674\) 15.9230 22.3608i 0.613332 0.861305i
\(675\) 0.534870 0.103088i 0.0205872 0.00396785i
\(676\) −54.0741 21.6480i −2.07977 0.832616i
\(677\) 20.2275 1.93149i 0.777407 0.0742334i 0.301193 0.953563i \(-0.402615\pi\)
0.476213 + 0.879330i \(0.342009\pi\)
\(678\) −46.6778 + 13.7058i −1.79265 + 0.526369i
\(679\) −7.91539 + 1.03336i −0.303765 + 0.0396567i
\(680\) −46.1805 + 101.121i −1.77094 + 3.87782i
\(681\) 5.89122 4.63290i 0.225752 0.177533i
\(682\) −77.7731 + 14.9895i −2.97809 + 0.573979i
\(683\) 4.21605 + 0.402584i 0.161323 + 0.0154045i 0.175405 0.984496i \(-0.443877\pi\)
−0.0140821 + 0.999901i \(0.504483\pi\)
\(684\) −18.3375 9.45365i −0.701153 0.361469i
\(685\) 3.48569 24.2435i 0.133181 0.926297i
\(686\) 24.4814 43.2629i 0.934703 1.65179i
\(687\) 4.79648 5.53544i 0.182997 0.211190i
\(688\) −26.6570 109.882i −1.01629 4.18920i
\(689\) 7.10648 12.3088i 0.270735 0.468927i
\(690\) −25.8864 8.25302i −0.985479 0.314187i
\(691\) −3.70362 6.41486i −0.140892 0.244033i 0.786941 0.617029i \(-0.211664\pi\)
−0.927833 + 0.372996i \(0.878330\pi\)
\(692\) −43.0003 12.6260i −1.63463 0.479970i
\(693\) 11.1584 9.41799i 0.423873 0.357760i
\(694\) 74.3307 + 47.7695i 2.82156 + 1.81330i
\(695\) −9.31144 + 3.72774i −0.353203 + 0.141401i
\(696\) −1.08536 22.7846i −0.0411406 0.863646i
\(697\) −35.5119 3.39097i −1.34511 0.128442i
\(698\) 6.64896 19.2109i 0.251667 0.727144i
\(699\) −0.864215 6.01074i −0.0326876 0.227347i
\(700\) 7.48632 + 0.454101i 0.282956 + 0.0171634i
\(701\) −43.4492 + 12.7578i −1.64105 + 0.481857i −0.966563 0.256428i \(-0.917454\pi\)
−0.674489 + 0.738284i \(0.735636\pi\)
\(702\) −2.61173 2.49028i −0.0985735 0.0939896i
\(703\) 19.5470 + 27.4499i 0.737228 + 1.03529i
\(704\) −101.421 40.6030i −3.82247 1.53028i
\(705\) −8.03232 + 23.2079i −0.302515 + 0.874059i
\(706\) −16.8293 36.8511i −0.633380 1.38691i
\(707\) −2.14865 + 19.7836i −0.0808081 + 0.744041i
\(708\) 0.149114 1.03711i 0.00560406 0.0389771i
\(709\) −0.363780 + 7.63668i −0.0136620 + 0.286802i 0.981689 + 0.190490i \(0.0610076\pi\)
−0.995351 + 0.0963118i \(0.969295\pi\)
\(710\) 2.79765 + 8.08327i 0.104994 + 0.303360i
\(711\) 0.147233 0.140387i 0.00552168 0.00526491i
\(712\) 9.62408 + 16.6694i 0.360678 + 0.624712i
\(713\) 12.3067 + 22.4969i 0.460890 + 0.842514i
\(714\) −27.3245 + 33.8326i −1.02259 + 1.26615i
\(715\) 15.0277 + 4.41253i 0.562004 + 0.165019i
\(716\) −90.8346 17.5069i −3.39465 0.654265i
\(717\) 0.0380671 0.0196250i 0.00142164 0.000732908i
\(718\) −4.77553 3.75552i −0.178221 0.140155i
\(719\) 36.1896 + 18.6570i 1.34964 + 0.695789i 0.973051 0.230590i \(-0.0740656\pi\)
0.376592 + 0.926379i \(0.377096\pi\)
\(720\) 11.1137 + 24.3356i 0.414184 + 0.906935i
\(721\) 22.9771 43.1833i 0.855710 1.60823i
\(722\) 1.25443 + 8.72472i 0.0466849 + 0.324701i
\(723\) −10.2423 + 0.978023i −0.380916 + 0.0363731i
\(724\) −25.0182 + 103.126i −0.929793 + 3.83266i
\(725\) −0.340618 + 1.40405i −0.0126502 + 0.0521450i
\(726\) 51.9909 4.96453i 1.92956 0.184251i
\(727\) 5.28600 + 36.7650i 0.196047 + 1.36354i 0.815615 + 0.578594i \(0.196399\pi\)
−0.619568 + 0.784943i \(0.712692\pi\)
\(728\) −16.2038 25.9483i −0.600554 0.961707i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −14.1426 7.29100i −0.523440 0.269852i
\(731\) −42.9431 33.7708i −1.58831 1.24906i
\(732\) 11.5321 5.94520i 0.426238 0.219741i
\(733\) −14.0381 2.70562i −0.518508 0.0999342i −0.0767181 0.997053i \(-0.524444\pi\)
−0.441790 + 0.897119i \(0.645656\pi\)
\(734\) 56.7565 + 16.6652i 2.09492 + 0.615124i
\(735\) −14.0639 4.52936i −0.518756 0.167068i
\(736\) −5.69250 + 80.4626i −0.209829 + 2.96589i
\(737\) −10.5217 18.2241i −0.387571 0.671292i
\(738\) −11.3156 + 10.7894i −0.416533 + 0.397163i
\(739\) 1.01239 + 2.92510i 0.0372412 + 0.107601i 0.962089 0.272737i \(-0.0879288\pi\)
−0.924847 + 0.380338i \(0.875808\pi\)
\(740\) 4.44290 93.2679i 0.163324 3.42860i
\(741\) 0.758543 5.27578i 0.0278658 0.193811i
\(742\) −68.6851 + 30.2960i −2.52151 + 1.11220i
\(743\) −13.2053 28.9157i −0.484457 1.06081i −0.981214 0.192923i \(-0.938203\pi\)
0.496757 0.867890i \(-0.334524\pi\)
\(744\) 15.0399 43.4549i 0.551389 1.59313i
\(745\) −9.73269 3.89638i −0.356578 0.142752i
\(746\) −11.2662 15.8211i −0.412483 0.579251i
\(747\) 1.12076 + 1.06864i 0.0410066 + 0.0390997i
\(748\) −168.765 + 49.5537i −6.17064 + 1.81186i
\(749\) −11.9131 0.722621i −0.435297 0.0264040i
\(750\) −4.47052 31.0931i −0.163240 1.13536i
\(751\) 9.78478 28.2713i 0.357052 1.03163i −0.613282 0.789864i \(-0.710151\pi\)
0.970334 0.241769i \(-0.0777276\pi\)
\(752\) 146.802 + 14.0179i 5.35333 + 0.511181i
\(753\) −1.35590 28.4637i −0.0494116 1.03728i
\(754\) 8.88589 3.55738i 0.323605 0.129552i
\(755\) −22.2956 14.3285i −0.811421 0.521468i
\(756\) 2.43002 + 13.5527i 0.0883790 + 0.492907i
\(757\) 16.5535 + 4.86054i 0.601646 + 0.176659i 0.568351 0.822786i \(-0.307582\pi\)
0.0332955 + 0.999446i \(0.489400\pi\)
\(758\) 15.7409 + 27.2640i 0.571734 + 0.990273i
\(759\) −10.4378 24.3228i −0.378868 0.882860i
\(760\) −35.9816 + 62.3219i −1.30519 + 2.26065i
\(761\) −6.01226 24.7829i −0.217944 0.898379i −0.970742 0.240126i \(-0.922811\pi\)
0.752797 0.658252i \(-0.228704\pi\)
\(762\) 17.5640 20.2699i 0.636275 0.734301i
\(763\) 18.4655 6.12370i 0.668496 0.221693i
\(764\) −4.18918 + 29.1364i −0.151559 + 1.05412i
\(765\) 11.4894 + 5.92318i 0.415399 + 0.214153i
\(766\) 19.7732 + 1.88812i 0.714436 + 0.0682204i
\(767\) 0.265803 0.0512293i 0.00959758 0.00184978i
\(768\) 10.0041 7.86728i 0.360990 0.283886i
\(769\) −15.4363 + 33.8008i −0.556647 + 1.21889i 0.396960 + 0.917836i \(0.370065\pi\)
−0.953608 + 0.301052i \(0.902662\pi\)
\(770\) −50.2880 65.6839i −1.81225 2.36708i
\(771\) 27.8049 8.16427i 1.00137 0.294029i
\(772\) 27.8805 2.66227i 1.00344 0.0958171i
\(773\) 4.34537 + 1.73962i