Properties

Label 354.3.h.a.5.1
Level 354
Weight 3
Character 354.5
Analytic conductor 9.646
Analytic rank 0
Dimension 1120
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 354.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(-2.93432 + 0.624304i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(1.01598 + 0.404804i) q^{5} +(0.488341 - 4.21444i) q^{6} +(0.548538 - 0.253781i) q^{7} +(2.34106 - 1.58728i) q^{8} +(8.22049 - 3.66382i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(-2.93432 + 0.624304i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(1.01598 + 0.404804i) q^{5} +(0.488341 - 4.21444i) q^{6} +(0.548538 - 0.253781i) q^{7} +(2.34106 - 1.58728i) q^{8} +(8.22049 - 3.66382i) q^{9} +(-1.00129 + 1.17881i) q^{10} +(9.41389 + 2.61375i) q^{11} +(5.42761 + 2.55754i) q^{12} +(-9.12006 + 17.2023i) q^{13} +(0.0924147 + 0.849739i) q^{14} +(-3.23393 - 0.553543i) q^{15} +(1.07011 + 3.85420i) q^{16} +(-3.82517 + 8.26797i) q^{17} +(1.19814 + 12.6714i) q^{18} +(0.315203 - 0.0693814i) q^{19} +(-1.12768 - 1.87421i) q^{20} +(-1.45115 + 1.08713i) q^{21} +(-7.75385 + 11.4361i) q^{22} +(-3.16948 - 0.519610i) q^{23} +(-5.87847 + 6.11911i) q^{24} +(-17.2815 - 16.3699i) q^{25} +(-18.9359 - 19.9904i) q^{26} +(-21.8342 + 15.8829i) q^{27} +(-1.18054 - 0.259856i) q^{28} +(-3.01623 - 8.95187i) q^{29} +(2.20217 - 4.08411i) q^{30} +(-16.6617 - 3.66752i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(-29.2552 - 1.79246i) q^{33} +(-9.35331 - 8.85993i) q^{34} +(0.660035 - 0.0357860i) q^{35} +(-17.5230 - 4.11617i) q^{36} +(-25.4220 + 37.4946i) q^{37} +(-0.0493494 + 0.453760i) q^{38} +(16.0217 - 56.1706i) q^{39} +(3.02100 - 0.664973i) q^{40} +(2.53614 - 0.415779i) q^{41} +(-0.801670 - 2.43571i) q^{42} +(1.54887 + 5.57852i) q^{43} +(-11.8251 - 15.5557i) q^{44} +(9.83498 - 0.394686i) q^{45} +(2.12758 - 4.01305i) q^{46} +(-28.2375 + 11.2508i) q^{47} +(-5.54625 - 10.6414i) q^{48} +(-31.4854 + 37.0675i) q^{49} +(29.7424 - 15.7684i) q^{50} +(6.06255 - 26.6490i) q^{51} +(35.3416 - 16.3507i) q^{52} +(-43.1497 + 36.6517i) q^{53} +(-11.4266 - 36.4340i) q^{54} +(8.50627 + 6.46630i) q^{55} +(0.881339 - 1.46480i) q^{56} +(-0.881592 + 0.400370i) q^{57} +13.3592 q^{58} +(11.0005 + 57.9654i) q^{59} +(4.47904 + 4.79553i) q^{60} +(-87.5246 - 29.4905i) q^{61} +(12.4389 - 20.6737i) q^{62} +(3.57944 - 4.09594i) q^{63} +(2.96111 - 7.43181i) q^{64} +(-16.2293 + 13.7853i) q^{65} +(15.6127 - 38.3979i) q^{66} +(7.50602 + 11.0706i) q^{67} +(16.0975 - 8.53436i) q^{68} +(9.62467 - 0.454017i) q^{69} +(-0.250086 + 0.900728i) q^{70} +(51.3368 - 20.4545i) q^{71} +(13.4291 - 21.6254i) q^{72} +(-57.2417 + 6.22541i) q^{73} +(-38.7701 - 51.0012i) q^{74} +(60.9294 + 37.2457i) q^{75} +(-0.585838 - 0.271037i) q^{76} +(5.82719 - 0.955320i) q^{77} +(68.0442 + 46.8365i) q^{78} +(34.1990 - 20.5769i) q^{79} +(-0.472980 + 4.34898i) q^{80} +(54.1529 - 60.2368i) q^{81} +(-0.588000 + 3.58664i) q^{82} +(113.287 - 6.14225i) q^{83} +(3.62630 + 0.0254863i) q^{84} +(-7.23320 + 6.85166i) q^{85} +(-8.17565 - 0.443271i) q^{86} +(14.4393 + 24.3846i) q^{87} +(26.1872 - 8.82350i) q^{88} +(44.1291 + 130.970i) q^{89} +(-3.91214 + 13.3589i) q^{90} +(-0.637098 + 11.7506i) q^{91} +(4.41749 + 4.66349i) q^{92} +(51.1805 + 0.359705i) q^{93} +(-2.32726 - 42.9239i) q^{94} +(0.348326 + 0.0571051i) q^{95} +(16.7659 - 2.62777i) q^{96} +(-88.5310 - 9.62832i) q^{97} +(-35.4597 - 58.9345i) q^{98} +(86.9631 - 13.0045i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + O(q^{10}) \) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + 16q^{10} - 34q^{15} - 160q^{16} - 16q^{18} - 24q^{19} + 18q^{21} + 16q^{22} + 16q^{24} + 216q^{25} + 30q^{27} + 16q^{28} + 64q^{30} - 96q^{31} - 76q^{33} - 80q^{34} - 48q^{36} + 200q^{37} + 28q^{39} - 32q^{40} - 48q^{42} + 104q^{43} + 696q^{45} - 32q^{46} - 288q^{49} + 1800q^{51} + 852q^{54} - 360q^{55} + 76q^{57} + 128q^{58} - 280q^{60} + 32q^{61} - 1318q^{63} + 320q^{64} - 1512q^{66} + 344q^{67} - 2640q^{69} - 192q^{70} + 32q^{72} - 40q^{73} - 1014q^{75} + 48q^{76} - 96q^{78} - 32q^{79} - 336q^{81} + 80q^{82} - 36q^{84} - 168q^{85} + 162q^{87} - 32q^{88} - 112q^{90} - 88q^{91} + 316q^{93} + 400q^{94} - 32q^{96} + 184q^{97} + 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) −2.93432 + 0.624304i −0.978107 + 0.208101i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) 1.01598 + 0.404804i 0.203196 + 0.0809607i 0.469516 0.882924i \(-0.344428\pi\)
−0.266320 + 0.963885i \(0.585808\pi\)
\(6\) 0.488341 4.21444i 0.0813902 0.702407i
\(7\) 0.548538 0.253781i 0.0783625 0.0362544i −0.380316 0.924856i \(-0.624185\pi\)
0.458679 + 0.888602i \(0.348323\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) 8.22049 3.66382i 0.913388 0.407091i
\(10\) −1.00129 + 1.17881i −0.100129 + 0.117881i
\(11\) 9.41389 + 2.61375i 0.855808 + 0.237614i 0.667605 0.744516i \(-0.267320\pi\)
0.188204 + 0.982130i \(0.439734\pi\)
\(12\) 5.42761 + 2.55754i 0.452301 + 0.213129i
\(13\) −9.12006 + 17.2023i −0.701543 + 1.32325i 0.234759 + 0.972054i \(0.424570\pi\)
−0.936302 + 0.351197i \(0.885775\pi\)
\(14\) 0.0924147 + 0.849739i 0.00660105 + 0.0606956i
\(15\) −3.23393 0.553543i −0.215596 0.0369029i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) −3.82517 + 8.26797i −0.225010 + 0.486351i −0.986896 0.161360i \(-0.948412\pi\)
0.761885 + 0.647712i \(0.224274\pi\)
\(18\) 1.19814 + 12.6714i 0.0665636 + 0.703967i
\(19\) 0.315203 0.0693814i 0.0165896 0.00365166i −0.206668 0.978411i \(-0.566262\pi\)
0.223258 + 0.974760i \(0.428331\pi\)
\(20\) −1.12768 1.87421i −0.0563838 0.0937106i
\(21\) −1.45115 + 1.08713i −0.0691024 + 0.0517680i
\(22\) −7.75385 + 11.4361i −0.352448 + 0.519822i
\(23\) −3.16948 0.519610i −0.137803 0.0225917i 0.0924854 0.995714i \(-0.470519\pi\)
−0.230289 + 0.973122i \(0.573967\pi\)
\(24\) −5.87847 + 6.11911i −0.244936 + 0.254963i
\(25\) −17.2815 16.3699i −0.691261 0.654798i
\(26\) −18.9359 19.9904i −0.728305 0.768862i
\(27\) −21.8342 + 15.8829i −0.808675 + 0.588256i
\(28\) −1.18054 0.259856i −0.0421620 0.00928057i
\(29\) −3.01623 8.95187i −0.104008 0.308685i 0.882996 0.469381i \(-0.155523\pi\)
−0.987004 + 0.160696i \(0.948626\pi\)
\(30\) 2.20217 4.08411i 0.0734055 0.136137i
\(31\) −16.6617 3.66752i −0.537475 0.118307i −0.0620660 0.998072i \(-0.519769\pi\)
−0.475409 + 0.879765i \(0.657700\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) −29.2552 1.79246i −0.886520 0.0543170i
\(34\) −9.35331 8.85993i −0.275097 0.260586i
\(35\) 0.660035 0.0357860i 0.0188581 0.00102246i
\(36\) −17.5230 4.11617i −0.486751 0.114338i
\(37\) −25.4220 + 37.4946i −0.687080 + 1.01337i 0.310937 + 0.950431i \(0.399357\pi\)
−0.998017 + 0.0629373i \(0.979953\pi\)
\(38\) −0.0493494 + 0.453760i −0.00129867 + 0.0119411i
\(39\) 16.0217 56.1706i 0.410814 1.44027i
\(40\) 3.02100 0.664973i 0.0755251 0.0166243i
\(41\) 2.53614 0.415779i 0.0618570 0.0101409i −0.130774 0.991412i \(-0.541746\pi\)
0.192631 + 0.981271i \(0.438298\pi\)
\(42\) −0.801670 2.43571i −0.0190874 0.0579931i
\(43\) 1.54887 + 5.57852i 0.0360202 + 0.129733i 0.979374 0.202055i \(-0.0647620\pi\)
−0.943354 + 0.331788i \(0.892348\pi\)
\(44\) −11.8251 15.5557i −0.268753 0.353538i
\(45\) 9.83498 0.394686i 0.218555 0.00877079i
\(46\) 2.12758 4.01305i 0.0462518 0.0872402i
\(47\) −28.2375 + 11.2508i −0.600798 + 0.239380i −0.650651 0.759377i \(-0.725504\pi\)
0.0498533 + 0.998757i \(0.484125\pi\)
\(48\) −5.54625 10.6414i −0.115547 0.221696i
\(49\) −31.4854 + 37.0675i −0.642560 + 0.756480i
\(50\) 29.7424 15.7684i 0.594848 0.315368i
\(51\) 6.06255 26.6490i 0.118874 0.522529i
\(52\) 35.3416 16.3507i 0.679645 0.314437i
\(53\) −43.1497 + 36.6517i −0.814146 + 0.691542i −0.954386 0.298576i \(-0.903488\pi\)
0.140240 + 0.990118i \(0.455213\pi\)
\(54\) −11.4266 36.4340i −0.211603 0.674703i
\(55\) 8.50627 + 6.46630i 0.154659 + 0.117569i
\(56\) 0.881339 1.46480i 0.0157382 0.0261571i
\(57\) −0.881592 + 0.400370i −0.0154665 + 0.00702404i
\(58\) 13.3592 0.230330
\(59\) 11.0005 + 57.9654i 0.186449 + 0.982465i
\(60\) 4.47904 + 4.79553i 0.0746507 + 0.0799255i
\(61\) −87.5246 29.4905i −1.43483 0.483451i −0.508795 0.860888i \(-0.669909\pi\)
−0.926035 + 0.377437i \(0.876805\pi\)
\(62\) 12.4389 20.6737i 0.200628 0.333446i
\(63\) 3.57944 4.09594i 0.0568165 0.0650150i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) −16.2293 + 13.7853i −0.249682 + 0.212082i
\(66\) 15.6127 38.3979i 0.236556 0.581786i
\(67\) 7.50602 + 11.0706i 0.112030 + 0.165232i 0.879571 0.475768i \(-0.157830\pi\)
−0.767540 + 0.641001i \(0.778520\pi\)
\(68\) 16.0975 8.53436i 0.236728 0.125505i
\(69\) 9.62467 0.454017i 0.139488 0.00657996i
\(70\) −0.250086 + 0.900728i −0.00357265 + 0.0128675i
\(71\) 51.3368 20.4545i 0.723054 0.288091i 0.0205678 0.999788i \(-0.493453\pi\)
0.702486 + 0.711697i \(0.252073\pi\)
\(72\) 13.4291 21.6254i 0.186516 0.300353i
\(73\) −57.2417 + 6.22541i −0.784133 + 0.0852796i −0.491422 0.870921i \(-0.663523\pi\)
−0.292711 + 0.956201i \(0.594557\pi\)
\(74\) −38.7701 51.0012i −0.523920 0.689206i
\(75\) 60.9294 + 37.2457i 0.812392 + 0.496610i
\(76\) −0.585838 0.271037i −0.00770839 0.00356628i
\(77\) 5.82719 0.955320i 0.0756778 0.0124068i
\(78\) 68.0442 + 46.8365i 0.872362 + 0.600468i
\(79\) 34.1990 20.5769i 0.432899 0.260467i −0.282384 0.959301i \(-0.591125\pi\)
0.715283 + 0.698835i \(0.246298\pi\)
\(80\) −0.472980 + 4.34898i −0.00591225 + 0.0543622i
\(81\) 54.1529 60.2368i 0.668554 0.743664i
\(82\) −0.588000 + 3.58664i −0.00717073 + 0.0437395i
\(83\) 113.287 6.14225i 1.36490 0.0740030i 0.642931 0.765924i \(-0.277718\pi\)
0.721973 + 0.691921i \(0.243235\pi\)
\(84\) 3.62630 + 0.0254863i 0.0431703 + 0.000303408i
\(85\) −7.23320 + 6.85166i −0.0850965 + 0.0806077i
\(86\) −8.17565 0.443271i −0.0950657 0.00515431i
\(87\) 14.4393 + 24.3846i 0.165969 + 0.280283i
\(88\) 26.1872 8.82350i 0.297582 0.100267i
\(89\) 44.1291 + 130.970i 0.495832 + 1.47158i 0.845127 + 0.534565i \(0.179525\pi\)
−0.349295 + 0.937013i \(0.613579\pi\)
\(90\) −3.91214 + 13.3589i −0.0434682 + 0.148432i
\(91\) −0.637098 + 11.7506i −0.00700108 + 0.129127i
\(92\) 4.41749 + 4.66349i 0.0480162 + 0.0506901i
\(93\) 51.1805 + 0.359705i 0.550328 + 0.00386780i
\(94\) −2.32726 42.9239i −0.0247581 0.456637i
\(95\) 0.348326 + 0.0571051i 0.00366659 + 0.000601107i
\(96\) 16.7659 2.62777i 0.174645 0.0273726i
\(97\) −88.5310 9.62832i −0.912690 0.0992611i −0.360290 0.932840i \(-0.617322\pi\)
−0.552400 + 0.833579i \(0.686288\pi\)
\(98\) −35.4597 58.9345i −0.361834 0.601373i
\(99\) 86.9631 13.0045i 0.878415 0.131358i
\(100\) 7.70209 + 46.9807i 0.0770209 + 0.469807i
\(101\) −23.6648 + 51.1506i −0.234305 + 0.506441i −0.988687 0.149994i \(-0.952075\pi\)
0.754382 + 0.656436i \(0.227937\pi\)
\(102\) 32.9769 + 20.1586i 0.323303 + 0.197633i
\(103\) −54.5805 + 41.4910i −0.529907 + 0.402825i −0.835628 0.549296i \(-0.814896\pi\)
0.305720 + 0.952121i \(0.401103\pi\)
\(104\) 5.95415 + 54.7475i 0.0572515 + 0.526419i
\(105\) −1.91441 + 0.517070i −0.0182325 + 0.00492448i
\(106\) −29.6353 74.3790i −0.279579 0.701689i
\(107\) 66.1757 + 18.3736i 0.618465 + 0.171716i 0.562609 0.826723i \(-0.309798\pi\)
0.0558556 + 0.998439i \(0.482211\pi\)
\(108\) 53.9880 + 1.13846i 0.499889 + 0.0105413i
\(109\) 32.2041 + 60.7433i 0.295450 + 0.557278i 0.986148 0.165865i \(-0.0530416\pi\)
−0.690698 + 0.723143i \(0.742697\pi\)
\(110\) −12.5071 + 8.48004i −0.113701 + 0.0770913i
\(111\) 51.1882 125.892i 0.461155 1.13416i
\(112\) 1.56512 + 1.84260i 0.0139743 + 0.0164518i
\(113\) 98.9012 + 39.4059i 0.875232 + 0.348724i 0.764113 0.645083i \(-0.223177\pi\)
0.111119 + 0.993807i \(0.464556\pi\)
\(114\) −0.138477 1.36229i −0.00121471 0.0119499i
\(115\) −3.00979 1.81093i −0.0261721 0.0157472i
\(116\) −6.03247 + 17.9037i −0.0520040 + 0.154343i
\(117\) −11.9454 + 174.825i −0.102097 + 1.49423i
\(118\) −82.6517 11.4322i −0.700438 0.0968831i
\(119\) 5.50605i 0.0462693i
\(120\) −8.44945 + 3.83727i −0.0704121 + 0.0319773i
\(121\) −21.8901 13.1708i −0.180910 0.108850i
\(122\) 79.0454 103.982i 0.647913 0.852315i
\(123\) −7.18227 + 2.80335i −0.0583925 + 0.0227915i
\(124\) 22.0896 + 26.0059i 0.178142 + 0.209725i
\(125\) −22.4114 48.4415i −0.179292 0.387532i
\(126\) 3.87298 + 6.64668i 0.0307380 + 0.0527514i
\(127\) −53.9486 101.758i −0.424792 0.801243i 0.575065 0.818107i \(-0.304977\pi\)
−0.999858 + 0.0168641i \(0.994632\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) −8.02757 15.4022i −0.0622292 0.119397i
\(130\) −11.1463 27.9752i −0.0857411 0.215194i
\(131\) −124.602 66.0599i −0.951162 0.504274i −0.0808235 0.996728i \(-0.525755\pi\)
−0.870338 + 0.492454i \(0.836100\pi\)
\(132\) 44.4102 + 38.2629i 0.336441 + 0.289870i
\(133\) 0.155293 0.118051i 0.00116762 0.000887600i
\(134\) −18.2260 + 5.06043i −0.136015 + 0.0377644i
\(135\) −28.6126 + 7.29816i −0.211945 + 0.0540604i
\(136\) 4.16861 + 25.4274i 0.0306516 + 0.186966i
\(137\) 35.5674 + 161.584i 0.259616 + 1.17945i 0.908277 + 0.418370i \(0.137399\pi\)
−0.648660 + 0.761078i \(0.724670\pi\)
\(138\) −3.73765 + 13.1038i −0.0270844 + 0.0949554i
\(139\) 157.756 + 17.1569i 1.13493 + 0.123431i 0.656240 0.754552i \(-0.272146\pi\)
0.478692 + 0.877983i \(0.341111\pi\)
\(140\) −1.09421 0.741894i −0.00781580 0.00529924i
\(141\) 75.8339 50.6424i 0.537829 0.359166i
\(142\) 4.23106 + 78.0372i 0.0297962 + 0.549558i
\(143\) −130.818 + 138.103i −0.914809 + 0.965752i
\(144\) 22.9179 + 27.7627i 0.159152 + 0.192797i
\(145\) 0.559312 10.3159i 0.00385732 0.0711441i
\(146\) 17.5049 79.5256i 0.119897 0.544696i
\(147\) 69.2470 128.425i 0.471068 0.873636i
\(148\) 85.8581 28.9289i 0.580122 0.195466i
\(149\) 35.1466 159.673i 0.235883 1.07163i −0.698569 0.715542i \(-0.746180\pi\)
0.934453 0.356087i \(-0.115889\pi\)
\(150\) −77.4295 + 64.8379i −0.516196 + 0.432253i
\(151\) −72.2542 + 68.4428i −0.478505 + 0.453264i −0.888535 0.458808i \(-0.848277\pi\)
0.410031 + 0.912072i \(0.365518\pi\)
\(152\) 0.627781 0.662741i 0.00413014 0.00436013i
\(153\) −1.15242 + 81.9815i −0.00753214 + 0.535827i
\(154\) −1.35103 + 8.24090i −0.00877290 + 0.0535123i
\(155\) −15.4434 10.4709i −0.0996346 0.0675539i
\(156\) −93.4956 + 70.0422i −0.599331 + 0.448989i
\(157\) 7.38639 4.44424i 0.0470471 0.0283073i −0.491836 0.870688i \(-0.663674\pi\)
0.538883 + 0.842381i \(0.318846\pi\)
\(158\) 12.1339 + 55.1247i 0.0767966 + 0.348891i
\(159\) 103.733 134.486i 0.652411 0.845827i
\(160\) −5.61485 2.59771i −0.0350928 0.0162357i
\(161\) −1.87045 + 0.519327i −0.0116177 + 0.00322563i
\(162\) 56.2751 + 99.7753i 0.347377 + 0.615897i
\(163\) 245.332 26.6815i 1.50511 0.163690i 0.681905 0.731441i \(-0.261152\pi\)
0.823201 + 0.567751i \(0.192186\pi\)
\(164\) −4.54124 2.40761i −0.0276905 0.0146806i
\(165\) −28.9971 13.6637i −0.175740 0.0828103i
\(166\) −42.9242 + 154.599i −0.258580 + 0.931320i
\(167\) −86.1104 73.1428i −0.515631 0.437981i 0.351407 0.936223i \(-0.385703\pi\)
−0.867038 + 0.498242i \(0.833979\pi\)
\(168\) −1.67165 + 4.84841i −0.00995031 + 0.0288596i
\(169\) −117.901 173.892i −0.697642 1.02894i
\(170\) −5.91625 12.7878i −0.0348015 0.0752221i
\(171\) 2.33692 1.72520i 0.0136662 0.0100889i
\(172\) 4.28586 10.7567i 0.0249178 0.0625390i
\(173\) −12.4102 + 16.3253i −0.0717350 + 0.0943658i −0.830561 0.556927i \(-0.811980\pi\)
0.758826 + 0.651293i \(0.225773\pi\)
\(174\) −39.2001 + 8.34018i −0.225288 + 0.0479321i
\(175\) −13.6339 4.59381i −0.0779083 0.0262504i
\(176\) 39.0800i 0.222046i
\(177\) −68.4671 163.222i −0.386820 0.922155i
\(178\) −195.451 −1.09804
\(179\) −11.9725 + 35.5330i −0.0668852 + 0.198508i −0.975884 0.218291i \(-0.929952\pi\)
0.908998 + 0.416799i \(0.136848\pi\)
\(180\) −16.1368 11.2753i −0.0896490 0.0626408i
\(181\) 91.5379 + 69.5853i 0.505734 + 0.384449i 0.826701 0.562641i \(-0.190215\pi\)
−0.320967 + 0.947090i \(0.604008\pi\)
\(182\) −15.4602 6.15993i −0.0849464 0.0338457i
\(183\) 275.237 + 31.8926i 1.50402 + 0.174276i
\(184\) −8.24470 + 3.81440i −0.0448081 + 0.0207305i
\(185\) −41.0062 + 27.8029i −0.221655 + 0.150286i
\(186\) −23.5932 + 68.4289i −0.126845 + 0.367897i
\(187\) −57.6202 + 67.8357i −0.308129 + 0.362758i
\(188\) 58.5768 + 16.2638i 0.311579 + 0.0865094i
\(189\) −7.94612 + 14.2535i −0.0420430 + 0.0754152i
\(190\) −0.233822 + 0.441034i −0.00123064 + 0.00232123i
\(191\) −24.1406 221.969i −0.126390 1.16214i −0.869835 0.493343i \(-0.835775\pi\)
0.743444 0.668798i \(-0.233191\pi\)
\(192\) −4.04912 + 23.6560i −0.0210892 + 0.123208i
\(193\) −69.8665 251.637i −0.362003 1.30382i −0.890540 0.454906i \(-0.849673\pi\)
0.528537 0.848910i \(-0.322741\pi\)
\(194\) 52.8808 114.300i 0.272582 0.589175i
\(195\) 39.0158 50.5826i 0.200081 0.259398i
\(196\) 94.9953 20.9100i 0.484670 0.106684i
\(197\) −8.29430 13.7852i −0.0421030 0.0699758i 0.835091 0.550112i \(-0.185415\pi\)
−0.877194 + 0.480136i \(0.840587\pi\)
\(198\) −21.8407 + 122.419i −0.110307 + 0.618277i
\(199\) 144.375 212.938i 0.725504 1.07004i −0.268773 0.963204i \(-0.586618\pi\)
0.994277 0.106835i \(-0.0340716\pi\)
\(200\) −66.4407 10.8924i −0.332204 0.0544620i
\(201\) −28.9365 27.7985i −0.143963 0.138301i
\(202\) −57.8651 54.8128i −0.286461 0.271350i
\(203\) −3.92633 4.14497i −0.0193415 0.0204186i
\(204\) −41.9072 + 35.0923i −0.205428 + 0.172021i
\(205\) 2.74497 + 0.604215i 0.0133901 + 0.00294739i
\(206\) −30.9592 91.8835i −0.150287 0.446037i
\(207\) −27.9584 + 7.34095i −0.135065 + 0.0354635i
\(208\) −76.0604 16.7422i −0.365675 0.0804912i
\(209\) 3.14863 + 0.170714i 0.0150652 + 0.000816813i
\(210\) 0.171504 2.79915i 0.000816686 0.0133293i
\(211\) 33.6897 + 31.9126i 0.159667 + 0.151244i 0.763362 0.645971i \(-0.223547\pi\)
−0.603696 + 0.797215i \(0.706306\pi\)
\(212\) 113.064 6.13014i 0.533320 0.0289157i
\(213\) −137.869 + 92.0698i −0.647272 + 0.432253i
\(214\) −54.5064 + 80.3909i −0.254703 + 0.375658i
\(215\) −0.684584 + 6.29465i −0.00318411 + 0.0292774i
\(216\) −25.9046 + 71.8398i −0.119929 + 0.332592i
\(217\) −10.0703 + 2.21665i −0.0464071 + 0.0102150i
\(218\) −95.9493 + 15.7301i −0.440134 + 0.0721564i
\(219\) 164.079 54.0036i 0.749219 0.246592i
\(220\) −5.71709 20.5911i −0.0259868 0.0935959i
\(221\) −107.342 141.206i −0.485710 0.638941i
\(222\) 145.604 + 125.450i 0.655875 + 0.565088i
\(223\) −59.9119 + 113.006i −0.268663 + 0.506753i −0.980732 0.195357i \(-0.937413\pi\)
0.712069 + 0.702110i \(0.247758\pi\)
\(224\) −3.17617 + 1.26550i −0.0141793 + 0.00564956i
\(225\) −202.039 71.2525i −0.897952 0.316678i
\(226\) −97.4710 + 114.752i −0.431288 + 0.507751i
\(227\) −62.1244 + 32.9363i −0.273676 + 0.145094i −0.599594 0.800304i \(-0.704671\pi\)
0.325918 + 0.945398i \(0.394327\pi\)
\(228\) 1.88825 + 0.429570i 0.00828178 + 0.00188408i
\(229\) 200.387 92.7089i 0.875053 0.404842i 0.0696507 0.997571i \(-0.477812\pi\)
0.805402 + 0.592729i \(0.201949\pi\)
\(230\) 3.78608 3.21593i 0.0164612 0.0139823i
\(231\) −16.5024 + 6.44116i −0.0714392 + 0.0278838i
\(232\) −21.2703 16.1692i −0.0916822 0.0696950i
\(233\) −133.638 + 222.108i −0.573553 + 0.953253i 0.425285 + 0.905060i \(0.360174\pi\)
−0.998838 + 0.0481936i \(0.984654\pi\)
\(234\) −228.904 94.9532i −0.978222 0.405783i
\(235\) −33.2431 −0.141460
\(236\) 52.6435 105.606i 0.223066 0.447484i
\(237\) −87.5047 + 81.7298i −0.369218 + 0.344851i
\(238\) −7.37912 2.48631i −0.0310047 0.0104467i
\(239\) −26.1804 + 43.5121i −0.109541 + 0.182059i −0.906779 0.421607i \(-0.861466\pi\)
0.797237 + 0.603666i \(0.206294\pi\)
\(240\) −1.32721 13.0566i −0.00553004 0.0544024i
\(241\) −78.5012 + 197.023i −0.325731 + 0.817523i 0.671348 + 0.741143i \(0.265716\pi\)
−0.997079 + 0.0763806i \(0.975664\pi\)
\(242\) 27.5361 23.3893i 0.113785 0.0966502i
\(243\) −121.296 + 210.562i −0.499160 + 0.866510i
\(244\) 103.662 + 152.890i 0.424843 + 0.626597i
\(245\) −46.9936 + 24.9145i −0.191811 + 0.101692i
\(246\) −0.513775 10.8914i −0.00208851 0.0442742i
\(247\) −1.68115 + 6.05497i −0.00680629 + 0.0245140i
\(248\) −44.8275 + 17.8609i −0.180756 + 0.0720197i
\(249\) −328.586 + 88.7489i −1.31962 + 0.356421i
\(250\) 75.0407 8.16117i 0.300163 0.0326447i
\(251\) −253.052 332.885i −1.00818 1.32623i −0.944588 0.328257i \(-0.893539\pi\)
−0.0635880 0.997976i \(-0.520254\pi\)
\(252\) −10.6567 + 2.18913i −0.0422883 + 0.00868703i
\(253\) −28.4790 13.1758i −0.112565 0.0520782i
\(254\) 160.735 26.3512i 0.632816 0.103745i
\(255\) 16.9470 24.6207i 0.0664589 0.0965517i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) 38.2783 351.963i 0.148943 1.36951i −0.646239 0.763135i \(-0.723659\pi\)
0.795182 0.606371i \(-0.207376\pi\)
\(258\) 24.2667 3.80339i 0.0940570 0.0147418i
\(259\) −4.42951 + 27.0188i −0.0171024 + 0.104320i
\(260\) 42.5252 2.30565i 0.163558 0.00886787i
\(261\) −57.5929 62.5378i −0.220663 0.239608i
\(262\) 144.798 137.160i 0.552664 0.523511i
\(263\) 106.044 + 5.74953i 0.403209 + 0.0218613i 0.254628 0.967039i \(-0.418047\pi\)
0.148580 + 0.988900i \(0.452530\pi\)
\(264\) −71.3332 + 42.2398i −0.270201 + 0.159999i
\(265\) −58.6760 + 19.7703i −0.221419 + 0.0746047i
\(266\) 0.0880855 + 0.261428i 0.000331148 + 0.000982814i
\(267\) −211.254 356.759i −0.791215 1.33618i
\(268\) 1.44824 26.7113i 0.00540390 0.0996690i
\(269\) 216.219 + 228.259i 0.803787 + 0.848547i 0.991012 0.133770i \(-0.0427083\pi\)
−0.187226 + 0.982317i \(0.559950\pi\)
\(270\) 3.13945 41.6417i 0.0116276 0.154229i
\(271\) 20.1278 + 371.236i 0.0742724 + 1.36987i 0.763724 + 0.645543i \(0.223369\pi\)
−0.689452 + 0.724332i \(0.742148\pi\)
\(272\) −35.9598 5.89531i −0.132205 0.0216739i
\(273\) −5.46649 34.8777i −0.0200238 0.127757i
\(274\) −232.614 25.2983i −0.848955 0.0923294i
\(275\) −119.899 199.275i −0.435998 0.724635i
\(276\) −15.8738 10.9263i −0.0575137 0.0395881i
\(277\) 17.7715 + 108.401i 0.0641571 + 0.391341i 0.999312 + 0.0371007i \(0.0118122\pi\)
−0.935154 + 0.354240i \(0.884739\pi\)
\(278\) −94.2296 + 203.674i −0.338956 + 0.732640i
\(279\) −150.405 + 30.8967i −0.539085 + 0.110741i
\(280\) 1.48838 1.13143i 0.00531563 0.00404084i
\(281\) 6.03493 + 55.4902i 0.0214766 + 0.197474i 0.999961 0.00884736i \(-0.00281624\pi\)
−0.978484 + 0.206322i \(0.933851\pi\)
\(282\) 33.6265 + 124.500i 0.119243 + 0.441488i
\(283\) 17.1263 + 42.9837i 0.0605169 + 0.151886i 0.956126 0.292956i \(-0.0946390\pi\)
−0.895609 + 0.444842i \(0.853260\pi\)
\(284\) −106.495 29.5681i −0.374982 0.104113i
\(285\) −1.05775 + 0.0498965i −0.00371141 + 0.000175076i
\(286\) −126.011 237.681i −0.440597 0.831054i
\(287\) 1.28565 0.871693i 0.00447962 0.00303726i
\(288\) −47.5560 + 18.1777i −0.165125 + 0.0631171i
\(289\) 133.367 + 157.012i 0.461478 + 0.543294i
\(290\) 13.5726 + 5.40783i 0.0468022 + 0.0186477i
\(291\) 265.789 27.0177i 0.913365 0.0928442i
\(292\) 98.6744 + 59.3704i 0.337926 + 0.203323i
\(293\) −46.4160 + 137.758i −0.158416 + 0.470163i −0.997240 0.0742394i \(-0.976347\pi\)
0.838824 + 0.544403i \(0.183244\pi\)
\(294\) 140.843 + 150.795i 0.479059 + 0.512909i
\(295\) −12.2883 + 63.3448i −0.0416553 + 0.214728i
\(296\) 128.129i 0.432867i
\(297\) −247.059 + 92.4507i −0.831848 + 0.311282i
\(298\) 198.120 + 119.205i 0.664832 + 0.400016i
\(299\) 37.8443 49.7833i 0.126570 0.166499i
\(300\) −51.9307 133.048i −0.173102 0.443493i
\(301\) 2.26533 + 2.66695i 0.00752602 + 0.00886031i
\(302\) −59.0988 127.740i −0.195692 0.422980i
\(303\) 37.5066 164.866i 0.123784 0.544113i
\(304\) 0.604713 + 1.14061i 0.00198919 + 0.00375201i
\(305\) −76.9855 65.3920i −0.252411 0.214400i
\(306\) −109.350 38.5641i −0.357353 0.126026i
\(307\) 168.765 + 423.569i 0.549724 + 1.37970i 0.897038 + 0.441953i \(0.145714\pi\)
−0.347314 + 0.937749i \(0.612906\pi\)
\(308\) −10.4342 5.53189i −0.0338774 0.0179607i
\(309\) 134.254 155.823i 0.434478 0.504281i
\(310\) 21.0065 15.9687i 0.0677629 0.0515120i
\(311\) −11.0942 + 3.08028i −0.0356726 + 0.00990445i −0.285319 0.958433i \(-0.592099\pi\)
0.249646 + 0.968337i \(0.419686\pi\)
\(312\) −51.6505 156.930i −0.165547 0.502980i
\(313\) −35.6039 217.174i −0.113751 0.693848i −0.980710 0.195469i \(-0.937377\pi\)
0.866959 0.498379i \(-0.166071\pi\)
\(314\) 2.62070 + 11.9060i 0.00834618 + 0.0379171i
\(315\) 5.29469 2.71243i 0.0168086 0.00861088i
\(316\) −79.3564 8.63053i −0.251128 0.0273118i
\(317\) 302.640 + 205.195i 0.954700 + 0.647303i 0.935805 0.352519i \(-0.114675\pi\)
0.0188952 + 0.999821i \(0.493985\pi\)
\(318\) 133.395 + 199.751i 0.419480 + 0.628147i
\(319\) −4.99653 92.1556i −0.0156631 0.288889i
\(320\) 6.01685 6.35191i 0.0188027 0.0198497i
\(321\) −205.652 12.6003i −0.640659 0.0392532i
\(322\) 0.148626 2.74125i 0.000461572 0.00851319i
\(323\) −0.632062 + 2.87149i −0.00195685 + 0.00889005i
\(324\) −159.129 + 30.3643i −0.491139 + 0.0937171i
\(325\) 439.209 147.987i 1.35141 0.455343i
\(326\) −75.0243 + 340.839i −0.230136 + 1.04552i
\(327\) −132.419 158.135i −0.404952 0.483594i
\(328\) 5.27729 4.99892i 0.0160893 0.0152406i
\(329\) −12.6341 + 13.3376i −0.0384015 + 0.0405399i
\(330\) 31.4058 32.6914i 0.0951691 0.0990649i
\(331\) 81.7469 498.634i 0.246970 1.50645i −0.514073 0.857746i \(-0.671864\pi\)
0.761043 0.648702i \(-0.224688\pi\)
\(332\) −187.808 127.337i −0.565688 0.383546i
\(333\) −71.6076 + 401.366i −0.215038 + 1.20530i
\(334\) 136.909 82.3754i 0.409907 0.246633i
\(335\) 3.14457 + 14.2859i 0.00938678 + 0.0426446i
\(336\) −5.74290 4.42967i −0.0170920 0.0131835i
\(337\) −380.698 176.130i −1.12967 0.522640i −0.236172 0.971711i \(-0.575893\pi\)
−0.893496 + 0.449071i \(0.851755\pi\)
\(338\) 286.287 79.4871i 0.847002 0.235169i
\(339\) −314.809 53.8850i −0.928641 0.158953i
\(340\) 19.8095 2.15441i 0.0582632 0.00633651i
\(341\) −147.266 78.0753i −0.431864 0.228960i
\(342\) 1.25682 + 3.91094i 0.00367491 + 0.0114355i
\(343\) −15.7869 + 56.8594i −0.0460260 + 0.165771i
\(344\) 12.4806 + 10.6011i 0.0362809 + 0.0308173i
\(345\) 9.96226 + 3.43483i 0.0288761 + 0.00995602i
\(346\) −16.2749 24.0038i −0.0470374 0.0693750i
\(347\) 160.759 + 347.474i 0.463281 + 1.00137i 0.988615 + 0.150470i \(0.0480786\pi\)
−0.525333 + 0.850897i \(0.676059\pi\)
\(348\) 6.52383 56.3014i 0.0187466 0.161786i
\(349\) 40.6759 102.089i 0.116550 0.292518i −0.859116 0.511781i \(-0.828986\pi\)
0.975666 + 0.219263i \(0.0703652\pi\)
\(350\) 12.3131 16.1976i 0.0351803 0.0462789i
\(351\) −74.0926 520.451i −0.211090 1.48277i
\(352\) −52.3744 17.6470i −0.148791 0.0501335i
\(353\) 360.243i 1.02052i 0.860021 + 0.510259i \(0.170451\pi\)
−0.860021 + 0.510259i \(0.829549\pi\)
\(354\) 249.664 18.0541i 0.705265 0.0510002i
\(355\) 60.4372 0.170246
\(356\) 88.2581 261.941i 0.247916 0.735789i
\(357\) −3.43745 16.1565i −0.00962871 0.0452564i
\(358\) −42.2144 32.0906i −0.117917 0.0896385i
\(359\) 514.428 + 204.967i 1.43295 + 0.570938i 0.952078 0.305855i \(-0.0989422\pi\)
0.480868 + 0.876793i \(0.340322\pi\)
\(360\) 22.3978 16.5348i 0.0622161 0.0459301i
\(361\) −327.540 + 151.536i −0.907314 + 0.419768i
\(362\) −134.592 + 91.2556i −0.371801 + 0.252087i
\(363\) 72.4552 + 24.9814i 0.199601 + 0.0688193i
\(364\) 15.2367 17.9380i 0.0418590 0.0492802i
\(365\) −60.6765 16.8467i −0.166237 0.0461555i
\(366\) −167.028 + 354.466i −0.456360 + 0.968487i
\(367\) −66.0817 + 124.643i −0.180059 + 0.339627i −0.957069 0.289861i \(-0.906391\pi\)
0.777010 + 0.629489i \(0.216736\pi\)
\(368\) −1.38902 12.7718i −0.00377452 0.0347061i
\(369\) 19.3250 12.7099i 0.0523712 0.0344441i
\(370\) −18.7442 67.5105i −0.0506600 0.182461i
\(371\) −14.3678 + 31.0554i −0.0387271 + 0.0837073i
\(372\) −81.0536 62.5190i −0.217886 0.168062i
\(373\) 700.231 154.133i 1.87730 0.413224i 0.879287 0.476293i \(-0.158020\pi\)
0.998009 + 0.0630685i \(0.0200886\pi\)
\(374\) −64.8934 107.854i −0.173512 0.288379i
\(375\) 96.0046 + 128.151i 0.256012 + 0.341737i
\(376\) −48.2474 + 71.1596i −0.128318 + 0.189254i
\(377\) 181.501 + 29.7555i 0.481434 + 0.0789271i
\(378\) −15.5141 17.0856i −0.0410427 0.0451999i
\(379\) 14.2389 + 13.4878i 0.0375697 + 0.0355879i 0.706254 0.707958i \(-0.250384\pi\)
−0.668684 + 0.743546i \(0.733142\pi\)
\(380\) −0.485483 0.512518i −0.00127759 0.00134873i
\(381\) 221.831 + 264.910i 0.582232 + 0.695302i
\(382\) 308.380 + 67.8796i 0.807278 + 0.177695i
\(383\) 166.974 + 495.563i 0.435965 + 1.29390i 0.910445 + 0.413631i \(0.135740\pi\)
−0.474480 + 0.880266i \(0.657364\pi\)
\(384\) −29.8749 16.1087i −0.0777993 0.0419497i
\(385\) 6.30703 + 1.38828i 0.0163819 + 0.00360593i
\(386\) 368.788 + 19.9951i 0.955410 + 0.0518008i
\(387\) 33.1711 + 40.1834i 0.0857135 + 0.103833i
\(388\) 129.304 + 122.483i 0.333258 + 0.315679i
\(389\) −234.135 + 12.6944i −0.601890 + 0.0326335i −0.352567 0.935787i \(-0.614691\pi\)
−0.249323 + 0.968420i \(0.580208\pi\)
\(390\) 50.1720 + 75.1295i 0.128646 + 0.192640i
\(391\) 16.4199 24.2176i 0.0419947 0.0619375i
\(392\) −14.8728 + 136.753i −0.0379409 + 0.348861i
\(393\) 406.864 + 116.051i 1.03528 + 0.295296i
\(394\) 22.2201 4.89102i 0.0563963 0.0124138i
\(395\) 43.0751 7.06181i 0.109051 0.0178780i
\(396\) −154.201 84.5501i −0.389397 0.213510i
\(397\) −25.1301 90.5106i −0.0633001 0.227986i 0.925133 0.379643i \(-0.123953\pi\)
−0.988433 + 0.151656i \(0.951539\pi\)
\(398\) 220.181 + 289.644i 0.553220 + 0.727748i
\(399\) −0.381980 + 0.443349i −0.000957344 + 0.00111115i
\(400\) 44.5998 84.1242i 0.111500 0.210310i
\(401\) 553.962 220.719i 1.38145 0.550421i 0.443215 0.896415i \(-0.353838\pi\)
0.938236 + 0.345995i \(0.112459\pi\)
\(402\) 50.3217 26.2275i 0.125178 0.0652425i
\(403\) 215.046 253.171i 0.533612 0.628217i
\(404\) 99.5888 52.7986i 0.246507 0.130690i
\(405\) 79.4023 39.2781i 0.196055 0.0969830i
\(406\) 7.32800 3.39030i 0.0180493 0.00835048i
\(407\) −337.321 + 286.523i −0.828799 + 0.703989i
\(408\) −28.1065 72.0097i −0.0688885 0.176494i
\(409\) 577.093 + 438.695i 1.41098 + 1.07260i 0.985879 + 0.167459i \(0.0535563\pi\)
0.425106 + 0.905144i \(0.360237\pi\)
\(410\) −2.04928 + 3.40593i −0.00499825 + 0.00830715i
\(411\) −205.244 451.936i −0.499377 1.09960i
\(412\) 137.121 0.332817
\(413\) 20.7447 + 29.0045i 0.0502293 + 0.0702288i
\(414\) 2.78669 40.7843i 0.00673114 0.0985128i
\(415\) 117.584 + 39.6186i 0.283334 + 0.0954665i
\(416\) 56.7835 94.3749i 0.136499 0.226863i
\(417\) −473.617 + 48.1435i −1.13577 + 0.115452i
\(418\) −1.65059 + 4.14266i −0.00394877 + 0.00991067i
\(419\) 154.179 130.961i 0.367970 0.312556i −0.444256 0.895900i \(-0.646532\pi\)
0.812225 + 0.583344i \(0.198256\pi\)
\(420\) 3.67394 + 1.49383i 0.00874747 + 0.00355675i
\(421\) −194.603 287.018i −0.462241 0.681754i 0.523116 0.852262i \(-0.324770\pi\)
−0.985356 + 0.170508i \(0.945459\pi\)
\(422\) −57.9817 + 30.7399i −0.137397 + 0.0728434i
\(423\) −190.905 + 195.945i −0.451312 + 0.463226i
\(424\) −42.8396 + 154.294i −0.101037 + 0.363902i
\(425\) 201.451 80.2655i 0.474003 0.188860i
\(426\) −61.1343 226.345i −0.143508 0.531326i
\(427\) −55.4947 + 6.03541i −0.129964 + 0.0141345i
\(428\) −83.1256 109.350i −0.194219 0.255490i
\(429\) 297.643 486.907i 0.693807 1.13498i
\(430\) −8.12686 3.75988i −0.0188997 0.00874392i
\(431\) −610.271 + 100.049i −1.41594 + 0.232132i −0.820675 0.571396i \(-0.806402\pi\)
−0.595268 + 0.803528i \(0.702954\pi\)
\(432\) −84.5810 67.1569i −0.195789 0.155456i
\(433\) 363.354 218.623i 0.839155 0.504903i −0.0299378 0.999552i \(-0.509531\pi\)
0.869093 + 0.494649i \(0.164703\pi\)
\(434\) 1.57665 14.4971i 0.00363283 0.0334033i
\(435\) 4.79906 + 30.6194i 0.0110323 + 0.0703893i
\(436\) 22.2457 135.693i 0.0510222 0.311222i
\(437\) −1.03508 + 0.0561205i −0.00236861 + 0.000128422i
\(438\) −1.71685 + 244.282i −0.00391976 + 0.557721i
\(439\) 510.178 483.266i 1.16214 1.10083i 0.168792 0.985652i \(-0.446013\pi\)
0.993344 0.115182i \(-0.0367452\pi\)
\(440\) 30.1775 + 1.63618i 0.0685852 + 0.00371858i
\(441\) −123.017 + 420.070i −0.278950 + 0.952540i
\(442\) 237.713 80.0950i 0.537813 0.181210i
\(443\) −36.7035 108.932i −0.0828521 0.245896i 0.898218 0.439551i \(-0.144862\pi\)
−0.981070 + 0.193655i \(0.937966\pi\)
\(444\) −233.875 + 138.488i −0.526745 + 0.311911i
\(445\) −8.18302 + 150.927i −0.0183888 + 0.339162i
\(446\) −124.395 131.322i −0.278912 0.294444i
\(447\) −3.44713 + 490.473i −0.00771170 + 1.09726i
\(448\) −0.261772 4.82810i −0.000584313 0.0107770i
\(449\) 50.2433 + 8.23697i 0.111900 + 0.0183452i 0.217472 0.976067i \(-0.430219\pi\)
−0.105572 + 0.994412i \(0.533667\pi\)
\(450\) 186.724 238.595i 0.414943 0.530211i
\(451\) 24.9617 + 2.71474i 0.0553474 + 0.00601939i
\(452\) −109.774 182.446i −0.242864 0.403642i
\(453\) 169.288 245.942i 0.373704 0.542918i
\(454\) −16.0877 98.1308i −0.0354355 0.216147i
\(455\) −5.40395 + 11.6805i −0.0118768 + 0.0256713i
\(456\) −1.42836 + 2.33662i −0.00313237 + 0.00512417i
\(457\) −148.488 + 112.878i −0.324919 + 0.246997i −0.754898 0.655842i \(-0.772314\pi\)
0.429980 + 0.902839i \(0.358521\pi\)
\(458\) 33.7601 + 310.419i 0.0737121 + 0.677771i
\(459\) −47.7999 241.280i −0.104139 0.525664i
\(460\) 2.60029 + 6.52623i 0.00565280 + 0.0141875i
\(461\) 241.663 + 67.0974i 0.524215 + 0.145548i 0.519548 0.854442i \(-0.326101\pi\)
0.00466742 + 0.999989i \(0.498514\pi\)
\(462\) −1.18048 25.0249i −0.00255515 0.0541664i
\(463\) −302.783 571.109i −0.653958 1.23350i −0.959605 0.281351i \(-0.909217\pi\)
0.305647 0.952145i \(-0.401127\pi\)
\(464\) 31.2746 21.2047i 0.0674021 0.0456997i
\(465\) 51.8528 + 21.0835i 0.111511 + 0.0453409i
\(466\) −237.320 279.395i −0.509270 0.599559i
\(467\) 486.152 + 193.700i 1.04101 + 0.414776i 0.827087 0.562074i \(-0.189997\pi\)
0.213923 + 0.976851i \(0.431376\pi\)
\(468\) 230.619 263.896i 0.492775 0.563881i
\(469\) 6.92683 + 4.16774i 0.0147694 + 0.00888643i
\(470\) 15.0113 44.5519i 0.0319389 0.0947913i
\(471\) −18.8995 + 17.6522i −0.0401263 + 0.0374781i
\(472\) 117.760 + 118.240i 0.249491 + 0.250508i
\(473\) 56.5639i 0.119585i
\(474\) −70.0193 154.178i −0.147720 0.325271i
\(475\) −6.58296 3.96084i −0.0138589 0.00833861i
\(476\) 6.66424 8.76666i 0.0140005 0.0184173i
\(477\) −220.427 + 459.388i −0.462110 + 0.963077i
\(478\) −46.4922 54.7349i −0.0972640 0.114508i
\(479\) −164.369 355.279i −0.343151 0.741709i 0.656772 0.754089i \(-0.271921\pi\)
−0.999923 + 0.0123801i \(0.996059\pi\)
\(480\) 18.0975 + 4.11713i 0.0377032 + 0.00857736i
\(481\) −413.142 779.268i −0.858923 1.62010i
\(482\) −228.599 194.174i −0.474272 0.402850i
\(483\) 5.16427 2.69160i 0.0106921 0.00557267i
\(484\) 18.9118 + 47.4651i 0.0390740 + 0.0980684i
\(485\) −86.0481 45.6198i −0.177419 0.0940615i
\(486\) −227.419 257.640i −0.467941 0.530124i
\(487\) 422.767 321.379i 0.868106 0.659917i −0.0732570 0.997313i \(-0.523339\pi\)
0.941363 + 0.337396i \(0.109546\pi\)
\(488\) −251.710 + 69.8869i −0.515799 + 0.143211i
\(489\) −703.226 + 231.454i −1.43809 + 0.473321i
\(490\) −12.1695 74.2305i −0.0248357 0.151491i
\(491\) −49.2888 223.921i −0.100384 0.456051i −0.999820 0.0189968i \(-0.993953\pi\)
0.899435 0.437054i \(-0.143978\pi\)
\(492\) 14.8285 + 4.22960i 0.0301393 + 0.00859674i
\(493\) 85.5514 + 9.30428i 0.173532 + 0.0188728i
\(494\) −7.35563 4.98724i −0.0148899 0.0100956i
\(495\) 93.6170 + 21.9907i 0.189125 + 0.0444256i
\(496\) −3.69457 68.1423i −0.00744873 0.137384i
\(497\) 22.9692 24.2483i 0.0462158 0.0487894i
\(498\) 29.4366 480.441i 0.0591097 0.964741i
\(499\) −9.26954 + 170.967i −0.0185762 + 0.342618i 0.974441 + 0.224645i \(0.0721224\pi\)
−0.993017 + 0.117973i \(0.962360\pi\)
\(500\) −22.9479 + 104.254i −0.0458959 + 0.208507i
\(501\) 298.339 + 160.866i 0.595487 + 0.321089i
\(502\) 560.395 188.819i 1.11632 0.376134i
\(503\) −134.868 + 612.712i −0.268127 + 1.21812i 0.629374 + 0.777103i \(0.283312\pi\)
−0.897501 + 0.441012i \(0.854619\pi\)
\(504\) 1.87828 15.2704i 0.00372676 0.0302984i
\(505\) −44.7489 + 42.3884i −0.0886117 + 0.0839374i
\(506\) 30.5180 32.2174i 0.0603122 0.0636708i
\(507\) 454.522 + 436.648i 0.896494 + 0.861238i
\(508\) −37.2663 + 227.314i −0.0733588 + 0.447469i
\(509\) 48.9651 + 33.1992i 0.0961987 + 0.0652244i 0.608338 0.793678i \(-0.291837\pi\)
−0.512139 + 0.858902i \(0.671147\pi\)
\(510\) 25.3436 + 33.8299i 0.0496934 + 0.0663331i
\(511\) −29.8193 + 17.9417i −0.0583549 + 0.0351110i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) −5.78023 + 6.52123i −0.0112675 + 0.0127120i
\(514\) 454.411 + 210.233i 0.884067 + 0.409013i
\(515\) −72.2484 + 20.0597i −0.140288 + 0.0389508i
\(516\) −5.86064 + 34.2393i −0.0113578 + 0.0663553i
\(517\) −295.232 + 32.1084i −0.571048 + 0.0621052i
\(518\) −34.2100 18.1370i −0.0660424 0.0350135i
\(519\) 26.2235 55.6514i 0.0505269 0.107228i
\(520\) −16.1127 + 58.0327i −0.0309859 + 0.111601i
\(521\) −446.900 379.600i −0.857773 0.728599i 0.106272 0.994337i \(-0.466109\pi\)
−0.964045 + 0.265738i \(0.914384\pi\)
\(522\) 109.819 48.9456i 0.210381 0.0937654i
\(523\) 512.518 + 755.908i 0.979958 + 1.44533i 0.893494 + 0.449075i \(0.148246\pi\)
0.0864640 + 0.996255i \(0.472443\pi\)
\(524\) 118.434 + 255.992i 0.226020 + 0.488534i
\(525\) 42.8743 + 4.96799i 0.0816654 + 0.00946284i
\(526\) −55.5907 + 139.522i −0.105686 + 0.265251i
\(527\) 94.0570 123.730i 0.178476 0.234781i
\(528\) −24.3978 114.673i −0.0462080 0.217184i
\(529\) −491.533 165.617i −0.929174 0.313075i
\(530\) 87.5641i 0.165215i
\(531\) 302.804 + 436.200i 0.570253 + 0.821469i
\(532\) −0.390138 −0.000733342
\(533\) −15.9774 + 47.4192i −0.0299764 + 0.0889666i
\(534\) 573.517 122.021i 1.07400 0.228504i
\(535\) 59.7955 + 45.4554i 0.111767 + 0.0849634i
\(536\) 35.1441 + 14.0027i 0.0655673 + 0.0261244i
\(537\) 12.9476 111.740i 0.0241111 0.208081i
\(538\) −403.545 + 186.700i −0.750084 + 0.347026i
\(539\) −393.286 + 266.654i −0.729658 + 0.494721i
\(540\) 54.3899 + 23.0112i 0.100722 + 0.0426133i
\(541\) −657.236 + 773.758i −1.21485 + 1.43024i −0.343804 + 0.939041i \(0.611716\pi\)
−0.871050 + 0.491195i \(0.836560\pi\)
\(542\) −506.614 140.661i −0.934711 0.259521i
\(543\) −312.044 147.038i −0.574667 0.270788i
\(544\) 24.1388 45.5306i 0.0443728 0.0836960i
\(545\) 8.12959 + 74.7503i 0.0149167 + 0.137157i
\(546\) 49.2110 + 8.42331i 0.0901301 + 0.0154273i
\(547\) −30.7905 110.897i −0.0562897 0.202737i 0.930058 0.367412i \(-0.119756\pi\)
−0.986348 + 0.164675i \(0.947342\pi\)
\(548\) 138.944 300.321i 0.253547 0.548032i
\(549\) −827.543 + 78.2483i −1.50736 + 0.142529i
\(550\) 321.206 70.7029i 0.584012 0.128551i
\(551\) −1.57182 2.61238i −0.00285267 0.00474117i
\(552\) 21.8112 16.3399i 0.0395131 0.0296012i
\(553\) 13.5374 19.9662i 0.0244800 0.0361053i
\(554\) −153.303 25.1327i −0.276720 0.0453659i
\(555\) 102.968 107.183i 0.185528 0.193122i
\(556\) −230.410 218.256i −0.414407 0.392547i
\(557\) −498.038 525.773i −0.894144 0.943936i 0.104576 0.994517i \(-0.466651\pi\)
−0.998720 + 0.0505805i \(0.983893\pi\)
\(558\) 26.5095 215.522i 0.0475081 0.386240i
\(559\) −110.089 24.2324i −0.196939 0.0433495i
\(560\) 0.844239 + 2.50561i 0.00150757 + 0.00447430i
\(561\) 126.726 235.024i 0.225893 0.418938i
\(562\) −77.0923 16.9693i −0.137175 0.0301945i
\(563\) 683.765 + 37.0726i 1.21450 + 0.0658484i 0.650228 0.759739i \(-0.274673\pi\)
0.564274 + 0.825588i \(0.309156\pi\)
\(564\) −182.037 11.1534i −0.322760 0.0197755i
\(565\) 84.5301 + 80.0711i 0.149611 + 0.141719i
\(566\) −65.3397 + 3.54261i −0.115441 + 0.00625904i
\(567\) 14.4180 46.7851i 0.0254285 0.0825134i
\(568\) 87.7156 129.371i 0.154429 0.227766i
\(569\) 46.8976 431.217i 0.0824212 0.757850i −0.877879 0.478882i \(-0.841042\pi\)
0.960300 0.278968i \(-0.0899923\pi\)
\(570\) 0.410768 1.44011i 0.000720646 0.00252651i
\(571\) −918.722 + 202.226i −1.60897 + 0.354161i −0.926365 0.376626i \(-0.877084\pi\)
−0.682605 + 0.730787i \(0.739153\pi\)
\(572\) 375.438 61.5500i 0.656361 0.107605i
\(573\) 209.412 + 636.257i 0.365467 + 1.11040i
\(574\) 0.587680 + 2.11663i 0.00102383 + 0.00368751i
\(575\) 46.2675 + 60.8638i 0.0804652 + 0.105850i
\(576\) −2.88709 71.9421i −0.00501232 0.124899i
\(577\) −451.755 + 852.100i −0.782937 + 1.47678i 0.0936878 + 0.995602i \(0.470134\pi\)
−0.876625 + 0.481174i \(0.840210\pi\)
\(578\) −270.648 + 107.836i −0.468250 + 0.186568i
\(579\) 362.109 + 694.765i 0.625404 + 1.19994i
\(580\) −13.3764 + 15.7479i −0.0230627 + 0.0271515i
\(581\) 60.5834 32.1193i 0.104274 0.0552828i
\(582\) −83.8113 + 368.407i −0.144006 + 0.633001i
\(583\) −502.005 + 232.252i −0.861073 + 0.398375i
\(584\) −124.125 + 105.432i −0.212542 + 0.180535i
\(585\) −82.9061 + 172.783i −0.141720 + 0.295356i
\(586\) −163.661 124.412i −0.279285 0.212307i
\(587\) 397.862 661.252i 0.677789 1.12649i −0.306828 0.951765i \(-0.599268\pi\)
0.984617 0.174729i \(-0.0559048\pi\)
\(588\) −265.693 + 120.663i −0.451858 + 0.205209i
\(589\) −5.50629 −0.00934853
\(590\) −79.3447 45.0726i −0.134483 0.0763942i
\(591\) 32.9443 + 35.2721i 0.0557434 + 0.0596821i
\(592\) −171.716 57.8579i −0.290061 0.0977329i
\(593\) 14.0926 23.4221i 0.0237649 0.0394976i −0.844747 0.535166i \(-0.820249\pi\)
0.868512 + 0.495668i \(0.165077\pi\)
\(594\) −12.3389 372.852i −0.0207725 0.627696i
\(595\) −2.22887 + 5.59404i −0.00374600 + 0.00940174i
\(596\) −249.220 + 211.689i −0.418154 + 0.355183i
\(597\) −290.706 + 714.962i −0.486944 + 1.19759i
\(598\) 49.6298 + 73.1985i 0.0829930 + 0.122406i
\(599\) −608.608 + 322.664i −1.01604 + 0.538670i −0.891250 0.453513i \(-0.850171\pi\)
−0.124790 + 0.992183i \(0.539826\pi\)
\(600\) 201.759 9.51741i 0.336264 0.0158624i
\(601\) −92.0901 + 331.678i −0.153228 + 0.551878i 0.846580 + 0.532262i \(0.178658\pi\)
−0.999808 + 0.0196154i \(0.993756\pi\)
\(602\) −4.59714 + 1.83167i −0.00763645 + 0.00304264i
\(603\) 102.264 + 63.5047i 0.169592 + 0.105315i
\(604\) 197.882 21.5209i 0.327619 0.0356307i
\(605\) −16.9083 22.2425i −0.0279476 0.0367645i
\(606\) 204.015 + 124.713i 0.336658 + 0.205797i
\(607\) −1064.03 492.273i −1.75293 0.810993i −0.985459 0.169912i \(-0.945652\pi\)
−0.767473 0.641081i \(-0.778486\pi\)
\(608\) −1.80169 + 0.295372i −0.00296331 + 0.000485810i
\(609\) 14.1088 + 9.71146i 0.0231672 + 0.0159466i
\(610\) 122.401 73.6462i 0.200657 0.120732i
\(611\) 63.9877 588.357i 0.104726 0.962941i
\(612\) 101.061 129.135i 0.165132 0.211005i
\(613\) −90.5550 + 552.361i −0.147724 + 0.901078i 0.804113 + 0.594476i \(0.202640\pi\)
−0.951838 + 0.306602i \(0.900808\pi\)
\(614\) −643.868 + 34.9095i −1.04864 + 0.0568558i
\(615\) −8.43185 0.0592605i −0.0137103 9.63585e-5i
\(616\) 12.1254 11.4858i 0.0196842 0.0186458i
\(617\) 732.040 + 39.6901i 1.18645 + 0.0643275i 0.636775 0.771050i \(-0.280268\pi\)
0.549677 + 0.835378i \(0.314751\pi\)
\(618\) 148.207 + 250.288i 0.239818 + 0.404997i
\(619\) 175.435 59.1109i 0.283416 0.0954941i −0.174003 0.984745i \(-0.555670\pi\)
0.457420 + 0.889251i \(0.348774\pi\)
\(620\) 11.9153 + 35.3634i 0.0192183 + 0.0570378i
\(621\) 77.4560 38.9953i 0.124728 0.0627943i
\(622\) 0.881547 16.2592i 0.00141728 0.0261402i
\(623\) 57.4442 + 60.6431i 0.0922058 + 0.0973405i
\(624\) 233.638 + 1.64205i 0.374420 + 0.00263149i
\(625\) 29.0577 + 535.937i 0.0464923 + 0.857500i
\(626\) 307.131 + 50.3515i 0.490624 + 0.0804338i
\(627\) −9.34568 + 1.46478i −0.0149054 + 0.00233617i
\(628\) −17.1396 1.86404i −0.0272923 0.00296822i
\(629\) −212.761 353.612i −0.338253 0.562181i
\(630\) 1.24428 + 8.32069i 0.00197504 + 0.0132074i
\(631\) 15.3259 + 93.4837i 0.0242882 + 0.148152i 0.996186 0.0872498i \(-0.0278078\pi\)
−0.971898 + 0.235401i \(0.924360\pi\)
\(632\) 47.4007 102.455i 0.0750011 0.162112i
\(633\) −118.780 72.6091i −0.187645 0.114706i
\(634\) −411.659 + 312.935i −0.649305 + 0.493589i
\(635\) −13.6188 125.223i −0.0214469 0.197201i
\(636\) −327.938 + 88.5740i −0.515626 + 0.139267i
\(637\) −350.496 879.679i −0.550229 1.38097i
\(638\) 125.762 + 34.9176i 0.197119 + 0.0547297i
\(639\) 347.072 356.235i 0.543149 0.557488i
\(640\) 5.79576 + 10.9320i 0.00905587 + 0.0170812i
\(641\) 422.878 286.719i 0.659716 0.447299i −0.184838 0.982769i \(-0.559176\pi\)
0.844554 + 0.535470i \(0.179866\pi\)
\(642\) 109.751 269.921i 0.170951 0.420438i
\(643\) 661.321 + 778.567i 1.02849 + 1.21084i 0.977237 + 0.212150i \(0.0680464\pi\)
0.0512555 + 0.998686i \(0.483678\pi\)
\(644\) 3.60666 + 1.43703i 0.00560041 + 0.00223141i
\(645\) −1.92099 18.8979i −0.00297827 0.0292991i
\(646\) −3.56291 2.14373i −0.00551534 0.00331847i
\(647\) −84.5962 + 251.073i −0.130751 + 0.388057i −0.992953 0.118509i \(-0.962189\pi\)
0.862202 + 0.506565i \(0.169085\pi\)
\(648\) 31.1625 226.973i 0.0480903 0.350267i
\(649\) −47.9498 + 574.433i −0.0738827 + 0.885104i
\(650\) 655.445i 1.00838i
\(651\) 28.1657 12.7913i 0.0432653 0.0196487i
\(652\) −422.908 254.456i −0.648633 0.390269i
\(653\) 330.473 434.729i 0.506084 0.665742i −0.470119 0.882603i \(-0.655789\pi\)
0.976202 + 0.216862i \(0.0695820\pi\)
\(654\) 271.726 106.059i 0.415483 0.162169i
\(655\) −99.8521 117.555i −0.152446 0.179473i
\(656\) 4.31645 + 9.32985i 0.00657995 + 0.0142223i
\(657\) −447.746 + 260.899i −0.681501 + 0.397107i
\(658\) −12.1698 22.9547i −0.0184952 0.0348856i
\(659\) 162.518 + 138.044i 0.246613 + 0.209475i 0.762164 0.647384i \(-0.224137\pi\)
−0.515551 + 0.856859i \(0.672413\pi\)
\(660\) 29.6309 + 56.8517i 0.0448953 + 0.0861389i
\(661\) 289.354 + 726.223i 0.437752 + 1.09867i 0.968027 + 0.250848i \(0.0807094\pi\)
−0.530275 + 0.847826i \(0.677911\pi\)
\(662\) 631.348 + 334.719i 0.953698 + 0.505619i
\(663\) 403.131 + 347.330i 0.608041 + 0.523876i
\(664\) 255.462 194.197i 0.384732 0.292466i
\(665\) 0.205562 0.0570740i 0.000309116 8.58256e-5i
\(666\) −505.568 277.208i −0.759112 0.416228i
\(667\) 4.90842 + 29.9400i 0.00735895 + 0.0448876i
\(668\) 48.5755 + 220.681i 0.0727178 + 0.330360i
\(669\) 105.251 368.999i 0.157326 0.551568i
\(670\) −20.5657 2.23666i −0.0306951 0.00333830i
\(671\) −746.867 506.388i −1.11306 0.754677i
\(672\) 8.52984 5.69628i 0.0126932 0.00847661i
\(673\) −14.3410 264.505i −0.0213091 0.393024i −0.989660 0.143432i \(-0.954186\pi\)
0.968351 0.249592i \(-0.0802965\pi\)
\(674\) 407.954 430.672i 0.605273 0.638979i
\(675\) 637.331 + 82.9438i 0.944194 + 0.122880i
\(676\) −22.7484 + 419.570i −0.0336515 + 0.620665i
\(677\) 111.122 504.831i 0.164138 0.745689i −0.820580 0.571532i \(-0.806349\pi\)
0.984718 0.174156i \(-0.0557198\pi\)
\(678\) 214.371 397.570i 0.316182 0.586386i
\(679\) −51.0061 + 17.1859i −0.0751194 + 0.0253107i
\(680\) −6.05788 + 27.5212i −0.00890864 + 0.0404724i
\(681\) 161.731 135.430i 0.237490 0.198870i
\(682\) 171.135 162.107i 0.250931 0.237694i
\(683\) −556.698 + 587.699i −0.815078 + 0.860468i −0.992320 0.123700i \(-0.960524\pi\)
0.177241 + 0.984167i \(0.443283\pi\)
\(684\) −5.80890 0.0816559i −0.00849255 0.000119380i
\(685\) −29.2741 + 178.564i −0.0427360 + 0.260678i
\(686\) −69.0733 46.8329i −0.100690 0.0682695i
\(687\) −530.122 + 397.140i −0.771647 + 0.578079i
\(688\) −19.8433 + 11.9393i −0.0288419 + 0.0173536i
\(689\) −236.964 1076.54i −0.343925 1.56247i
\(690\) −9.10186 + 11.8002i −0.0131911 + 0.0171018i
\(691\) −242.615 112.246i −0.351107 0.162440i 0.236405 0.971655i \(-0.424031\pi\)
−0.587513 + 0.809215i \(0.699893\pi\)
\(692\) 39.5186 10.9723i 0.0571078 0.0158559i
\(693\) 44.4023 29.2030i 0.0640725 0.0421399i
\(694\) −538.271 + 58.5405i −0.775607 + 0.0843524i
\(695\) 153.331 + 81.2911i 0.220621 + 0.116966i
\(696\) 72.5083 + 34.1666i 0.104179 + 0.0490900i
\(697\) −6.26352 + 22.5591i −0.00898639 + 0.0323661i
\(698\) 118.450 + 100.613i 0.169699 + 0.144144i
\(699\) 253.474 735.167i 0.362623 1.05174i
\(700\) 16.1477 + 23.8160i 0.0230681 + 0.0340229i
\(701\) 41.0048 + 88.6305i 0.0584948 + 0.126434i 0.934618 0.355652i \(-0.115741\pi\)
−0.876124 + 0.482086i \(0.839879\pi\)
\(702\) 730.957 + 135.717i 1.04125 + 0.193330i
\(703\) −5.41166 + 13.5822i −0.00769794 + 0.0193204i
\(704\) 47.3004 62.2227i 0.0671881 0.0883845i
\(705\) 97.5460 20.7538i 0.138363 0.0294380i
\(706\) −482.792 162.672i −0.683841 0.230413i
\(707\) 34.0637i 0.0481806i
\(708\) −88.5426 + 342.748i −0.125060 + 0.484107i
\(709\) −469.472 −0.662161 −0.331081 0.943602i \(-0.607413\pi\)
−0.331081 + 0.943602i \(0.607413\pi\)
\(710\) −27.2911 + 80.9970i −0.0384381 + 0.114080i
\(711\) 205.743 294.451i 0.289371 0.414136i
\(712\) 311.195 + 236.564i 0.437072 + 0.332253i
\(713\) 50.9033 + 20.2817i 0.0713932 + 0.0284456i
\(714\) 23.2049 + 2.68883i 0.0324999 + 0.00376587i
\(715\) −188.813 + 87.3540i −0.264074 + 0.122173i
\(716\) 62.0697 42.0843i 0.0866895 0.0587769i
\(717\) 49.6568 144.023i 0.0692564 0.200869i
\(718\) −506.988 + 596.873i −0.706112 + 0.831299i
\(719\) −1068.15 296.569i −1.48560 0.412474i −0.572395 0.819978i \(-0.693985\pi\)
−0.913203 + 0.407504i \(0.866399\pi\)
\(720\) 12.0457 + 37.4836i 0.0167302 + 0.0520606i
\(721\) −19.4098 + 36.6108i −0.0269207 + 0.0507778i
\(722\) −55.1822 507.392i −0.0764296 0.702759i
\(723\) 107.345 627.138i 0.148472 0.867410i
\(724\) −61.5229 221.585i −0.0849764 0.306057i
\(725\) −94.4163 + 204.078i −0.130229 + 0.281486i
\(726\) −66.1976 + 85.8227i −0.0911813 + 0.118213i
\(727\) −150.711 + 33.1740i −0.207305 + 0.0456314i −0.317409 0.948289i \(-0.602813\pi\)
0.110104 + 0.993920i \(0.464882\pi\)
\(728\) 17.1599 + 28.5200i 0.0235713 + 0.0391759i
\(729\) 224.466 693.582i 0.307910 0.951416i
\(730\) 49.9769 73.7103i 0.0684614 0.100973i
\(731\) −52.0477 8.53279i −0.0712007 0.0116728i
\(732\) −399.627 383.911i −0.545938 0.524469i
\(733\) −437.565 414.484i −0.596951 0.565462i 0.328416 0.944533i \(-0.393485\pi\)
−0.925368 + 0.379071i \(0.876244\pi\)
\(734\) −137.205 144.846i −0.186928 0.197337i
\(735\) 122.340 102.445i 0.166449 0.139381i
\(736\) 17.7439 + 3.90572i 0.0241085 + 0.00530668i
\(737\) 41.7252 + 123.836i 0.0566149 + 0.168027i
\(738\) 8.30716 + 31.6383i 0.0112563 + 0.0428703i
\(739\) 82.7819 + 18.2217i 0.112019 + 0.0246572i 0.270626 0.962685i \(-0.412769\pi\)
−0.158607 + 0.987342i \(0.550700\pi\)
\(740\) 98.9406 + 5.36441i 0.133704 + 0.00724920i
\(741\) 1.15290 18.8168i 0.00155587 0.0253938i
\(742\) −35.1320 33.2788i −0.0473478 0.0448502i
\(743\) −446.008 + 24.1818i −0.600279 + 0.0325462i −0.351775 0.936085i \(-0.614422\pi\)
−0.248504 + 0.968631i \(0.579939\pi\)
\(744\) 120.388 80.3956i 0.161811 0.108059i
\(745\) 100.344 147.997i 0.134690 0.198654i
\(746\) −109.631 + 1008.04i −0.146958 + 1.35126i
\(747\) 908.771 465.556i 1.21656 0.623234i
\(748\) 173.847 38.2666i 0.232416 0.0511586i
\(749\) 40.9628 6.71550i 0.0546899 0.00896596i
\(750\) −215.098 + 70.7957i −0.286798 + 0.0943943i
\(751\) −242.700