Properties

Label 570.2.k.a.77.3
Level $570$
Weight $2$
Character 570.77
Analytic conductor $4.551$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.k (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.3
Character \(\chi\) \(=\) 570.77
Dual form 570.2.k.a.533.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 + 0.707107i) q^{2} +(-1.10477 + 1.33397i) q^{3} -1.00000i q^{4} +(-2.20748 - 0.356413i) q^{5} +(-0.162066 - 1.72445i) q^{6} +(1.29452 + 1.29452i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.558949 - 2.94747i) q^{9} +O(q^{10})\) \(q+(-0.707107 + 0.707107i) q^{2} +(-1.10477 + 1.33397i) q^{3} -1.00000i q^{4} +(-2.20748 - 0.356413i) q^{5} +(-0.162066 - 1.72445i) q^{6} +(1.29452 + 1.29452i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.558949 - 2.94747i) q^{9} +(1.81295 - 1.30890i) q^{10} -4.05199i q^{11} +(1.33397 + 1.10477i) q^{12} +(0.882575 - 0.882575i) q^{13} -1.83072 q^{14} +(2.91421 - 2.55096i) q^{15} -1.00000 q^{16} +(1.10167 - 1.10167i) q^{17} +(2.47941 + 1.68894i) q^{18} +1.00000i q^{19} +(-0.356413 + 2.20748i) q^{20} +(-3.15700 + 0.296698i) q^{21} +(2.86519 + 2.86519i) q^{22} +(0.877184 + 0.877184i) q^{23} +(-1.72445 + 0.162066i) q^{24} +(4.74594 + 1.57355i) q^{25} +1.24815i q^{26} +(4.54935 + 2.51067i) q^{27} +(1.29452 - 1.29452i) q^{28} -5.03943 q^{29} +(-0.256861 + 3.86446i) q^{30} +9.76541 q^{31} +(0.707107 - 0.707107i) q^{32} +(5.40524 + 4.47654i) q^{33} +1.55800i q^{34} +(-2.39624 - 3.31901i) q^{35} +(-2.94747 + 0.558949i) q^{36} +(3.02131 + 3.02131i) q^{37} +(-0.707107 - 0.707107i) q^{38} +(0.202282 + 2.15237i) q^{39} +(-1.30890 - 1.81295i) q^{40} +1.87632i q^{41} +(2.02254 - 2.44213i) q^{42} +(-0.199462 + 0.199462i) q^{43} -4.05199 q^{44} +(0.183351 + 6.70570i) q^{45} -1.24053 q^{46} +(8.33748 - 8.33748i) q^{47} +(1.10477 - 1.33397i) q^{48} -3.64845i q^{49} +(-4.46855 + 2.24322i) q^{50} +(0.252498 + 2.68669i) q^{51} +(-0.882575 - 0.882575i) q^{52} +(6.34099 + 6.34099i) q^{53} +(-4.99218 + 1.44156i) q^{54} +(-1.44418 + 8.94470i) q^{55} +1.83072i q^{56} +(-1.33397 - 1.10477i) q^{57} +(3.56341 - 3.56341i) q^{58} +1.21543 q^{59} +(-2.55096 - 2.91421i) q^{60} +1.45771 q^{61} +(-6.90519 + 6.90519i) q^{62} +(3.09198 - 4.53912i) q^{63} +1.00000i q^{64} +(-2.26283 + 1.63371i) q^{65} +(-6.98747 + 0.656689i) q^{66} +(-2.25803 - 2.25803i) q^{67} +(-1.10167 - 1.10167i) q^{68} +(-2.13923 + 0.201047i) q^{69} +(4.04129 + 0.652495i) q^{70} +7.22853i q^{71} +(1.68894 - 2.47941i) q^{72} +(-3.04969 + 3.04969i) q^{73} -4.27277 q^{74} +(-7.34226 + 4.59252i) q^{75} +1.00000 q^{76} +(5.24538 - 5.24538i) q^{77} +(-1.66499 - 1.37892i) q^{78} -13.1389i q^{79} +(2.20748 + 0.356413i) q^{80} +(-8.37515 + 3.29497i) q^{81} +(-1.32676 - 1.32676i) q^{82} +(-4.01176 - 4.01176i) q^{83} +(0.296698 + 3.15700i) q^{84} +(-2.82457 + 2.03927i) q^{85} -0.282082i q^{86} +(5.56743 - 6.72244i) q^{87} +(2.86519 - 2.86519i) q^{88} +15.5041 q^{89} +(-4.87129 - 4.61200i) q^{90} +2.28502 q^{91} +(0.877184 - 0.877184i) q^{92} +(-10.7886 + 13.0268i) q^{93} +11.7910i q^{94} +(0.356413 - 2.20748i) q^{95} +(0.162066 + 1.72445i) q^{96} +(-7.86520 - 7.86520i) q^{97} +(2.57984 + 2.57984i) q^{98} +(-11.9431 + 2.26486i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{3} + 4q^{6} - 12q^{7} + O(q^{10}) \) \( 36q + 4q^{3} + 4q^{6} - 12q^{7} - 4q^{10} - 4q^{12} + 8q^{13} + 4q^{15} - 36q^{16} - 32q^{21} - 4q^{22} + 32q^{25} + 28q^{27} - 12q^{28} - 8q^{30} + 8q^{31} + 36q^{33} + 4q^{36} - 32q^{37} - 8q^{40} + 12q^{42} - 24q^{43} - 28q^{45} - 16q^{46} - 4q^{48} - 40q^{51} - 8q^{52} - 4q^{55} + 4q^{57} - 4q^{58} - 24q^{60} + 200q^{61} + 28q^{63} + 12q^{70} - 68q^{73} - 36q^{75} + 36q^{76} + 24q^{78} - 92q^{81} + 24q^{82} + 24q^{85} + 28q^{87} - 4q^{88} - 68q^{90} + 64q^{91} + 16q^{93} - 4q^{96} - 148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 + 0.707107i −0.500000 + 0.500000i
\(3\) −1.10477 + 1.33397i −0.637842 + 0.770168i
\(4\) 1.00000i 0.500000i
\(5\) −2.20748 0.356413i −0.987215 0.159393i
\(6\) −0.162066 1.72445i −0.0661630 0.704005i
\(7\) 1.29452 + 1.29452i 0.489282 + 0.489282i 0.908080 0.418798i \(-0.137548\pi\)
−0.418798 + 0.908080i \(0.637548\pi\)
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −0.558949 2.94747i −0.186316 0.982490i
\(10\) 1.81295 1.30890i 0.573304 0.413911i
\(11\) 4.05199i 1.22172i −0.791738 0.610861i \(-0.790823\pi\)
0.791738 0.610861i \(-0.209177\pi\)
\(12\) 1.33397 + 1.10477i 0.385084 + 0.318921i
\(13\) 0.882575 0.882575i 0.244782 0.244782i −0.574043 0.818825i \(-0.694626\pi\)
0.818825 + 0.574043i \(0.194626\pi\)
\(14\) −1.83072 −0.489282
\(15\) 2.91421 2.55096i 0.752446 0.658654i
\(16\) −1.00000 −0.250000
\(17\) 1.10167 1.10167i 0.267194 0.267194i −0.560774 0.827969i \(-0.689496\pi\)
0.827969 + 0.560774i \(0.189496\pi\)
\(18\) 2.47941 + 1.68894i 0.584403 + 0.398087i
\(19\) 1.00000i 0.229416i
\(20\) −0.356413 + 2.20748i −0.0796965 + 0.493608i
\(21\) −3.15700 + 0.296698i −0.688913 + 0.0647447i
\(22\) 2.86519 + 2.86519i 0.610861 + 0.610861i
\(23\) 0.877184 + 0.877184i 0.182905 + 0.182905i 0.792621 0.609715i \(-0.208716\pi\)
−0.609715 + 0.792621i \(0.708716\pi\)
\(24\) −1.72445 + 0.162066i −0.352002 + 0.0330815i
\(25\) 4.74594 + 1.57355i 0.949188 + 0.314710i
\(26\) 1.24815i 0.244782i
\(27\) 4.54935 + 2.51067i 0.875522 + 0.483178i
\(28\) 1.29452 1.29452i 0.244641 0.244641i
\(29\) −5.03943 −0.935798 −0.467899 0.883782i \(-0.654989\pi\)
−0.467899 + 0.883782i \(0.654989\pi\)
\(30\) −0.256861 + 3.86446i −0.0468962 + 0.705550i
\(31\) 9.76541 1.75392 0.876960 0.480564i \(-0.159568\pi\)
0.876960 + 0.480564i \(0.159568\pi\)
\(32\) 0.707107 0.707107i 0.125000 0.125000i
\(33\) 5.40524 + 4.47654i 0.940931 + 0.779265i
\(34\) 1.55800i 0.267194i
\(35\) −2.39624 3.31901i −0.405038 0.561014i
\(36\) −2.94747 + 0.558949i −0.491245 + 0.0931581i
\(37\) 3.02131 + 3.02131i 0.496700 + 0.496700i 0.910409 0.413709i \(-0.135767\pi\)
−0.413709 + 0.910409i \(0.635767\pi\)
\(38\) −0.707107 0.707107i −0.114708 0.114708i
\(39\) 0.202282 + 2.15237i 0.0323911 + 0.344656i
\(40\) −1.30890 1.81295i −0.206956 0.286652i
\(41\) 1.87632i 0.293032i 0.989208 + 0.146516i \(0.0468060\pi\)
−0.989208 + 0.146516i \(0.953194\pi\)
\(42\) 2.02254 2.44213i 0.312084 0.376829i
\(43\) −0.199462 + 0.199462i −0.0304177 + 0.0304177i −0.722152 0.691734i \(-0.756847\pi\)
0.691734 + 0.722152i \(0.256847\pi\)
\(44\) −4.05199 −0.610861
\(45\) 0.183351 + 6.70570i 0.0273324 + 0.999626i
\(46\) −1.24053 −0.182905
\(47\) 8.33748 8.33748i 1.21615 1.21615i 0.247176 0.968971i \(-0.420497\pi\)
0.968971 0.247176i \(-0.0795025\pi\)
\(48\) 1.10477 1.33397i 0.159460 0.192542i
\(49\) 3.64845i 0.521207i
\(50\) −4.46855 + 2.24322i −0.631949 + 0.317239i
\(51\) 0.252498 + 2.68669i 0.0353568 + 0.376212i
\(52\) −0.882575 0.882575i −0.122391 0.122391i
\(53\) 6.34099 + 6.34099i 0.871002 + 0.871002i 0.992582 0.121580i \(-0.0387960\pi\)
−0.121580 + 0.992582i \(0.538796\pi\)
\(54\) −4.99218 + 1.44156i −0.679350 + 0.196172i
\(55\) −1.44418 + 8.94470i −0.194734 + 1.20610i
\(56\) 1.83072i 0.244641i
\(57\) −1.33397 1.10477i −0.176689 0.146331i
\(58\) 3.56341 3.56341i 0.467899 0.467899i
\(59\) 1.21543 0.158236 0.0791178 0.996865i \(-0.474790\pi\)
0.0791178 + 0.996865i \(0.474790\pi\)
\(60\) −2.55096 2.91421i −0.329327 0.376223i
\(61\) 1.45771 0.186641 0.0933205 0.995636i \(-0.470252\pi\)
0.0933205 + 0.995636i \(0.470252\pi\)
\(62\) −6.90519 + 6.90519i −0.876960 + 0.876960i
\(63\) 3.09198 4.53912i 0.389553 0.571875i
\(64\) 1.00000i 0.125000i
\(65\) −2.26283 + 1.63371i −0.280669 + 0.202636i
\(66\) −6.98747 + 0.656689i −0.860098 + 0.0808328i
\(67\) −2.25803 2.25803i −0.275862 0.275862i 0.555593 0.831455i \(-0.312491\pi\)
−0.831455 + 0.555593i \(0.812491\pi\)
\(68\) −1.10167 1.10167i −0.133597 0.133597i
\(69\) −2.13923 + 0.201047i −0.257533 + 0.0242032i
\(70\) 4.04129 + 0.652495i 0.483026 + 0.0779880i
\(71\) 7.22853i 0.857869i 0.903336 + 0.428935i \(0.141111\pi\)
−0.903336 + 0.428935i \(0.858889\pi\)
\(72\) 1.68894 2.47941i 0.199043 0.292202i
\(73\) −3.04969 + 3.04969i −0.356940 + 0.356940i −0.862684 0.505744i \(-0.831218\pi\)
0.505744 + 0.862684i \(0.331218\pi\)
\(74\) −4.27277 −0.496700
\(75\) −7.34226 + 4.59252i −0.847811 + 0.530298i
\(76\) 1.00000 0.114708
\(77\) 5.24538 5.24538i 0.597766 0.597766i
\(78\) −1.66499 1.37892i −0.188523 0.156132i
\(79\) 13.1389i 1.47824i −0.673572 0.739122i \(-0.735241\pi\)
0.673572 0.739122i \(-0.264759\pi\)
\(80\) 2.20748 + 0.356413i 0.246804 + 0.0398482i
\(81\) −8.37515 + 3.29497i −0.930572 + 0.366108i
\(82\) −1.32676 1.32676i −0.146516 0.146516i
\(83\) −4.01176 4.01176i −0.440348 0.440348i 0.451781 0.892129i \(-0.350789\pi\)
−0.892129 + 0.451781i \(0.850789\pi\)
\(84\) 0.296698 + 3.15700i 0.0323724 + 0.344457i
\(85\) −2.82457 + 2.03927i −0.306367 + 0.221189i
\(86\) 0.282082i 0.0304177i
\(87\) 5.56743 6.72244i 0.596891 0.720721i
\(88\) 2.86519 2.86519i 0.305431 0.305431i
\(89\) 15.5041 1.64343 0.821715 0.569898i \(-0.193017\pi\)
0.821715 + 0.569898i \(0.193017\pi\)
\(90\) −4.87129 4.61200i −0.513479 0.486147i
\(91\) 2.28502 0.239535
\(92\) 0.877184 0.877184i 0.0914527 0.0914527i
\(93\) −10.7886 + 13.0268i −1.11872 + 1.35081i
\(94\) 11.7910i 1.21615i
\(95\) 0.356413 2.20748i 0.0365672 0.226483i
\(96\) 0.162066 + 1.72445i 0.0165408 + 0.176001i
\(97\) −7.86520 7.86520i −0.798590 0.798590i 0.184283 0.982873i \(-0.441004\pi\)
−0.982873 + 0.184283i \(0.941004\pi\)
\(98\) 2.57984 + 2.57984i 0.260603 + 0.260603i
\(99\) −11.9431 + 2.26486i −1.20033 + 0.227627i
\(100\) 1.57355 4.74594i 0.157355 0.474594i
\(101\) 1.64156i 0.163341i −0.996659 0.0816705i \(-0.973974\pi\)
0.996659 0.0816705i \(-0.0260255\pi\)
\(102\) −2.07832 1.72123i −0.205784 0.170428i
\(103\) 6.66370 6.66370i 0.656594 0.656594i −0.297979 0.954573i \(-0.596312\pi\)
0.954573 + 0.297979i \(0.0963124\pi\)
\(104\) 1.24815 0.122391
\(105\) 7.07475 + 0.470242i 0.690425 + 0.0458909i
\(106\) −8.96751 −0.871002
\(107\) 13.0841 13.0841i 1.26488 1.26488i 0.316188 0.948697i \(-0.397597\pi\)
0.948697 0.316188i \(-0.102403\pi\)
\(108\) 2.51067 4.54935i 0.241589 0.437761i
\(109\) 13.1807i 1.26248i −0.775587 0.631241i \(-0.782546\pi\)
0.775587 0.631241i \(-0.217454\pi\)
\(110\) −5.30366 7.34605i −0.505684 0.700418i
\(111\) −7.36819 + 0.692470i −0.699358 + 0.0657263i
\(112\) −1.29452 1.29452i −0.122320 0.122320i
\(113\) 7.56560 + 7.56560i 0.711712 + 0.711712i 0.966893 0.255181i \(-0.0821352\pi\)
−0.255181 + 0.966893i \(0.582135\pi\)
\(114\) 1.72445 0.162066i 0.161510 0.0151788i
\(115\) −1.62373 2.24901i −0.151413 0.209721i
\(116\) 5.03943i 0.467899i
\(117\) −3.09468 2.10805i −0.286103 0.194889i
\(118\) −0.859440 + 0.859440i −0.0791178 + 0.0791178i
\(119\) 2.85226 0.261466
\(120\) 3.86446 + 0.256861i 0.352775 + 0.0234481i
\(121\) −5.41865 −0.492605
\(122\) −1.03076 + 1.03076i −0.0933205 + 0.0933205i
\(123\) −2.50296 2.07291i −0.225684 0.186908i
\(124\) 9.76541i 0.876960i
\(125\) −9.91573 5.16510i −0.886890 0.461981i
\(126\) 1.02328 + 5.39600i 0.0911611 + 0.480714i
\(127\) 1.08300 + 1.08300i 0.0961010 + 0.0961010i 0.753523 0.657422i \(-0.228353\pi\)
−0.657422 + 0.753523i \(0.728353\pi\)
\(128\) −0.707107 0.707107i −0.0625000 0.0625000i
\(129\) −0.0457158 0.486437i −0.00402505 0.0428284i
\(130\) 0.444857 2.75527i 0.0390166 0.241653i
\(131\) 6.00990i 0.525087i −0.964920 0.262544i \(-0.915439\pi\)
0.964920 0.262544i \(-0.0845613\pi\)
\(132\) 4.47654 5.40524i 0.389633 0.470465i
\(133\) −1.29452 + 1.29452i −0.112249 + 0.112249i
\(134\) 3.19333 0.275862
\(135\) −9.14776 7.16370i −0.787314 0.616553i
\(136\) 1.55800 0.133597
\(137\) −1.40049 + 1.40049i −0.119652 + 0.119652i −0.764397 0.644746i \(-0.776963\pi\)
0.644746 + 0.764397i \(0.276963\pi\)
\(138\) 1.37050 1.65482i 0.116665 0.140868i
\(139\) 23.4290i 1.98722i −0.112872 0.993610i \(-0.536005\pi\)
0.112872 0.993610i \(-0.463995\pi\)
\(140\) −3.31901 + 2.39624i −0.280507 + 0.202519i
\(141\) 1.91091 + 20.3330i 0.160928 + 1.71235i
\(142\) −5.11134 5.11134i −0.428935 0.428935i
\(143\) −3.57619 3.57619i −0.299056 0.299056i
\(144\) 0.558949 + 2.94747i 0.0465791 + 0.245622i
\(145\) 11.1244 + 1.79612i 0.923834 + 0.149160i
\(146\) 4.31292i 0.356940i
\(147\) 4.86692 + 4.03071i 0.401417 + 0.332447i
\(148\) 3.02131 3.02131i 0.248350 0.248350i
\(149\) −4.36654 −0.357721 −0.178861 0.983874i \(-0.557241\pi\)
−0.178861 + 0.983874i \(0.557241\pi\)
\(150\) 1.94436 8.43916i 0.158756 0.689055i
\(151\) −20.3330 −1.65468 −0.827340 0.561701i \(-0.810147\pi\)
−0.827340 + 0.561701i \(0.810147\pi\)
\(152\) −0.707107 + 0.707107i −0.0573539 + 0.0573539i
\(153\) −3.86292 2.63136i −0.312298 0.212733i
\(154\) 7.41808i 0.597766i
\(155\) −21.5569 3.48052i −1.73150 0.279562i
\(156\) 2.15237 0.202282i 0.172328 0.0161955i
\(157\) 8.36917 + 8.36917i 0.667932 + 0.667932i 0.957237 0.289305i \(-0.0934241\pi\)
−0.289305 + 0.957237i \(0.593424\pi\)
\(158\) 9.29061 + 9.29061i 0.739122 + 0.739122i
\(159\) −15.4640 + 1.45333i −1.22638 + 0.115256i
\(160\) −1.81295 + 1.30890i −0.143326 + 0.103478i
\(161\) 2.27106i 0.178985i
\(162\) 3.59223 8.25202i 0.282232 0.648340i
\(163\) −9.51819 + 9.51819i −0.745522 + 0.745522i −0.973635 0.228112i \(-0.926745\pi\)
0.228112 + 0.973635i \(0.426745\pi\)
\(164\) 1.87632 0.146516
\(165\) −10.3365 11.8084i −0.804692 0.919280i
\(166\) 5.67349 0.440348
\(167\) −9.41306 + 9.41306i −0.728404 + 0.728404i −0.970302 0.241897i \(-0.922230\pi\)
0.241897 + 0.970302i \(0.422230\pi\)
\(168\) −2.44213 2.02254i −0.188414 0.156042i
\(169\) 11.4421i 0.880163i
\(170\) 0.555291 3.43925i 0.0425889 0.263778i
\(171\) 2.94747 0.558949i 0.225399 0.0427439i
\(172\) 0.199462 + 0.199462i 0.0152088 + 0.0152088i
\(173\) 9.79289 + 9.79289i 0.744539 + 0.744539i 0.973448 0.228909i \(-0.0735157\pi\)
−0.228909 + 0.973448i \(0.573516\pi\)
\(174\) 0.816718 + 8.69025i 0.0619152 + 0.658806i
\(175\) 4.10671 + 8.18069i 0.310438 + 0.618402i
\(176\) 4.05199i 0.305431i
\(177\) −1.34278 + 1.62135i −0.100929 + 0.121868i
\(178\) −10.9631 + 10.9631i −0.821715 + 0.821715i
\(179\) −2.70878 −0.202464 −0.101232 0.994863i \(-0.532278\pi\)
−0.101232 + 0.994863i \(0.532278\pi\)
\(180\) 6.70570 0.183351i 0.499813 0.0136662i
\(181\) 13.3331 0.991043 0.495522 0.868596i \(-0.334977\pi\)
0.495522 + 0.868596i \(0.334977\pi\)
\(182\) −1.61575 + 1.61575i −0.119767 + 0.119767i
\(183\) −1.61044 + 1.94454i −0.119047 + 0.143745i
\(184\) 1.24053i 0.0914527i
\(185\) −5.59264 7.74631i −0.411179 0.569520i
\(186\) −1.58264 16.8400i −0.116045 1.23477i
\(187\) −4.46396 4.46396i −0.326437 0.326437i
\(188\) −8.33748 8.33748i −0.608073 0.608073i
\(189\) 2.63911 + 9.13931i 0.191967 + 0.664787i
\(190\) 1.30890 + 1.81295i 0.0949577 + 0.131525i
\(191\) 15.6275i 1.13077i −0.824828 0.565383i \(-0.808728\pi\)
0.824828 0.565383i \(-0.191272\pi\)
\(192\) −1.33397 1.10477i −0.0962710 0.0797302i
\(193\) −11.7380 + 11.7380i −0.844922 + 0.844922i −0.989494 0.144572i \(-0.953819\pi\)
0.144572 + 0.989494i \(0.453819\pi\)
\(194\) 11.1231 0.798590
\(195\) 0.320601 4.82342i 0.0229587 0.345412i
\(196\) −3.64845 −0.260603
\(197\) −10.4406 + 10.4406i −0.743863 + 0.743863i −0.973319 0.229456i \(-0.926305\pi\)
0.229456 + 0.973319i \(0.426305\pi\)
\(198\) 6.84357 10.0466i 0.486351 0.713978i
\(199\) 7.28579i 0.516476i 0.966081 + 0.258238i \(0.0831419\pi\)
−0.966081 + 0.258238i \(0.916858\pi\)
\(200\) 2.24322 + 4.46855i 0.158619 + 0.315975i
\(201\) 5.50674 0.517529i 0.388416 0.0365037i
\(202\) 1.16076 + 1.16076i 0.0816705 + 0.0816705i
\(203\) −6.52363 6.52363i −0.457869 0.457869i
\(204\) 2.68669 0.252498i 0.188106 0.0176784i
\(205\) 0.668746 4.14194i 0.0467073 0.289286i
\(206\) 9.42390i 0.656594i
\(207\) 2.09517 3.07577i 0.145624 0.213781i
\(208\) −0.882575 + 0.882575i −0.0611956 + 0.0611956i
\(209\) 4.05199 0.280282
\(210\) −5.33512 + 4.67010i −0.368158 + 0.322267i
\(211\) 1.27863 0.0880248 0.0440124 0.999031i \(-0.485986\pi\)
0.0440124 + 0.999031i \(0.485986\pi\)
\(212\) 6.34099 6.34099i 0.435501 0.435501i
\(213\) −9.64264 7.98589i −0.660703 0.547185i
\(214\) 18.5037i 1.26488i
\(215\) 0.511400 0.369218i 0.0348772 0.0251804i
\(216\) 1.44156 + 4.99218i 0.0980860 + 0.339675i
\(217\) 12.6415 + 12.6415i 0.858161 + 0.858161i
\(218\) 9.32016 + 9.32016i 0.631241 + 0.631241i
\(219\) −0.698976 7.43742i −0.0472324 0.502574i
\(220\) 8.94470 + 1.44418i 0.603051 + 0.0973669i
\(221\) 1.94461i 0.130809i
\(222\) 4.72045 5.69975i 0.316816 0.382542i
\(223\) 19.5872 19.5872i 1.31166 1.31166i 0.391462 0.920194i \(-0.371970\pi\)
0.920194 0.391462i \(-0.128030\pi\)
\(224\) 1.83072 0.122320
\(225\) 1.98526 14.8680i 0.132350 0.991203i
\(226\) −10.6994 −0.711712
\(227\) 2.14570 2.14570i 0.142415 0.142415i −0.632305 0.774720i \(-0.717891\pi\)
0.774720 + 0.632305i \(0.217891\pi\)
\(228\) −1.10477 + 1.33397i −0.0731654 + 0.0883443i
\(229\) 18.1839i 1.20163i −0.799389 0.600813i \(-0.794844\pi\)
0.799389 0.600813i \(-0.205156\pi\)
\(230\) 2.73844 + 0.442140i 0.180567 + 0.0291538i
\(231\) 1.20222 + 12.7921i 0.0791000 + 0.841660i
\(232\) −3.56341 3.56341i −0.233950 0.233950i
\(233\) 5.13824 + 5.13824i 0.336617 + 0.336617i 0.855092 0.518475i \(-0.173500\pi\)
−0.518475 + 0.855092i \(0.673500\pi\)
\(234\) 3.67888 0.697652i 0.240496 0.0456069i
\(235\) −21.3764 + 15.4332i −1.39444 + 1.00675i
\(236\) 1.21543i 0.0791178i
\(237\) 17.5269 + 14.5155i 1.13849 + 0.942885i
\(238\) −2.01685 + 2.01685i −0.130733 + 0.130733i
\(239\) 25.9094 1.67594 0.837970 0.545716i \(-0.183742\pi\)
0.837970 + 0.545716i \(0.183742\pi\)
\(240\) −2.91421 + 2.55096i −0.188112 + 0.164663i
\(241\) 23.3453 1.50380 0.751902 0.659275i \(-0.229137\pi\)
0.751902 + 0.659275i \(0.229137\pi\)
\(242\) 3.83157 3.83157i 0.246302 0.246302i
\(243\) 4.85726 14.8124i 0.311594 0.950215i
\(244\) 1.45771i 0.0933205i
\(245\) −1.30036 + 8.05388i −0.0830767 + 0.514543i
\(246\) 3.23563 0.304087i 0.206296 0.0193879i
\(247\) 0.882575 + 0.882575i 0.0561569 + 0.0561569i
\(248\) 6.90519 + 6.90519i 0.438480 + 0.438480i
\(249\) 9.78366 0.919478i 0.620014 0.0582695i
\(250\) 10.6638 3.35921i 0.674435 0.212455i
\(251\) 26.5769i 1.67752i 0.544504 + 0.838758i \(0.316718\pi\)
−0.544504 + 0.838758i \(0.683282\pi\)
\(252\) −4.53912 3.09198i −0.285938 0.194777i
\(253\) 3.55434 3.55434i 0.223460 0.223460i
\(254\) −1.53160 −0.0961010
\(255\) 0.400189 6.02081i 0.0250608 0.377038i
\(256\) 1.00000 0.0625000
\(257\) −3.31338 + 3.31338i −0.206683 + 0.206683i −0.802856 0.596173i \(-0.796687\pi\)
0.596173 + 0.802856i \(0.296687\pi\)
\(258\) 0.376289 + 0.311637i 0.0234267 + 0.0194017i
\(259\) 7.82227i 0.486052i
\(260\) 1.63371 + 2.26283i 0.101318 + 0.140335i
\(261\) 2.81678 + 14.8536i 0.174354 + 0.919412i
\(262\) 4.24964 + 4.24964i 0.262544 + 0.262544i
\(263\) 8.50623 + 8.50623i 0.524517 + 0.524517i 0.918932 0.394416i \(-0.129053\pi\)
−0.394416 + 0.918932i \(0.629053\pi\)
\(264\) 0.656689 + 6.98747i 0.0404164 + 0.430049i
\(265\) −11.7376 16.2576i −0.721035 0.998698i
\(266\) 1.83072i 0.112249i
\(267\) −17.1285 + 20.6820i −1.04825 + 1.26572i
\(268\) −2.25803 + 2.25803i −0.137931 + 0.137931i
\(269\) −19.1132 −1.16535 −0.582676 0.812704i \(-0.697994\pi\)
−0.582676 + 0.812704i \(0.697994\pi\)
\(270\) 11.5339 1.40294i 0.701933 0.0853804i
\(271\) 16.0634 0.975780 0.487890 0.872905i \(-0.337767\pi\)
0.487890 + 0.872905i \(0.337767\pi\)
\(272\) −1.10167 + 1.10167i −0.0667986 + 0.0667986i
\(273\) −2.52443 + 3.04814i −0.152785 + 0.184482i
\(274\) 1.98059i 0.119652i
\(275\) 6.37602 19.2305i 0.384488 1.15964i
\(276\) 0.201047 + 2.13923i 0.0121016 + 0.128766i
\(277\) −10.2934 10.2934i −0.618473 0.618473i 0.326667 0.945140i \(-0.394075\pi\)
−0.945140 + 0.326667i \(0.894075\pi\)
\(278\) 16.5668 + 16.5668i 0.993610 + 0.993610i
\(279\) −5.45836 28.7832i −0.326784 1.72321i
\(280\) 0.652495 4.04129i 0.0389940 0.241513i
\(281\) 22.3640i 1.33413i 0.745001 + 0.667063i \(0.232449\pi\)
−0.745001 + 0.667063i \(0.767551\pi\)
\(282\) −15.7288 13.0264i −0.936637 0.775709i
\(283\) −22.8633 + 22.8633i −1.35908 + 1.35908i −0.484030 + 0.875052i \(0.660827\pi\)
−0.875052 + 0.484030i \(0.839173\pi\)
\(284\) 7.22853 0.428935
\(285\) 2.55096 + 2.91421i 0.151106 + 0.172623i
\(286\) 5.05750 0.299056
\(287\) −2.42893 + 2.42893i −0.143375 + 0.143375i
\(288\) −2.47941 1.68894i −0.146101 0.0995217i
\(289\) 14.5726i 0.857214i
\(290\) −9.13621 + 6.59612i −0.536497 + 0.387337i
\(291\) 19.1812 1.80267i 1.12442 0.105674i
\(292\) 3.04969 + 3.04969i 0.178470 + 0.178470i
\(293\) −16.7421 16.7421i −0.978084 0.978084i 0.0216809 0.999765i \(-0.493098\pi\)
−0.999765 + 0.0216809i \(0.993098\pi\)
\(294\) −6.29157 + 0.591288i −0.366932 + 0.0344846i
\(295\) −2.68304 0.433196i −0.156213 0.0252216i
\(296\) 4.27277i 0.248350i
\(297\) 10.1732 18.4339i 0.590309 1.06964i
\(298\) 3.08761 3.08761i 0.178861 0.178861i
\(299\) 1.54836 0.0895440
\(300\) 4.59252 + 7.34226i 0.265149 + 0.423906i
\(301\) −0.516414 −0.0297656
\(302\) 14.3776 14.3776i 0.827340 0.827340i
\(303\) 2.18979 + 1.81355i 0.125800 + 0.104186i
\(304\) 1.00000i 0.0573539i
\(305\) −3.21787 0.519548i −0.184255 0.0297493i
\(306\) 4.59215 0.870840i 0.262516 0.0497826i
\(307\) 0.385994 + 0.385994i 0.0220298 + 0.0220298i 0.718036 0.696006i \(-0.245041\pi\)
−0.696006 + 0.718036i \(0.745041\pi\)
\(308\) −5.24538 5.24538i −0.298883 0.298883i
\(309\) 1.52729 + 16.2511i 0.0868845 + 0.924490i
\(310\) 17.7042 12.7820i 1.00553 0.725967i
\(311\) 29.7986i 1.68972i −0.534984 0.844862i \(-0.679682\pi\)
0.534984 0.844862i \(-0.320318\pi\)
\(312\) −1.37892 + 1.66499i −0.0780662 + 0.0942617i
\(313\) −14.6220 + 14.6220i −0.826486 + 0.826486i −0.987029 0.160543i \(-0.948675\pi\)
0.160543 + 0.987029i \(0.448675\pi\)
\(314\) −11.8358 −0.667932
\(315\) −8.44329 + 8.91800i −0.475726 + 0.502472i
\(316\) −13.1389 −0.739122
\(317\) −2.69314 + 2.69314i −0.151262 + 0.151262i −0.778681 0.627420i \(-0.784111\pi\)
0.627420 + 0.778681i \(0.284111\pi\)
\(318\) 9.90707 11.9624i 0.555561 0.670817i
\(319\) 20.4197i 1.14329i
\(320\) 0.356413 2.20748i 0.0199241 0.123402i
\(321\) 2.99881 + 31.9087i 0.167377 + 1.78097i
\(322\) −1.60588 1.60588i −0.0894923 0.0894923i
\(323\) 1.10167 + 1.10167i 0.0612986 + 0.0612986i
\(324\) 3.29497 + 8.37515i 0.183054 + 0.465286i
\(325\) 5.57742 2.79987i 0.309380 0.155309i
\(326\) 13.4608i 0.745522i
\(327\) 17.5826 + 14.5617i 0.972323 + 0.805263i
\(328\) −1.32676 + 1.32676i −0.0732581 + 0.0732581i
\(329\) 21.5860 1.19008
\(330\) 15.6588 + 1.04080i 0.861986 + 0.0572941i
\(331\) −3.14392 −0.172805 −0.0864027 0.996260i \(-0.527537\pi\)
−0.0864027 + 0.996260i \(0.527537\pi\)
\(332\) −4.01176 + 4.01176i −0.220174 + 0.220174i
\(333\) 7.21645 10.5940i 0.395459 0.580546i
\(334\) 13.3121i 0.728404i
\(335\) 4.17976 + 5.78934i 0.228364 + 0.316305i
\(336\) 3.15700 0.296698i 0.172228 0.0161862i
\(337\) −0.402927 0.402927i −0.0219488 0.0219488i 0.696047 0.717996i \(-0.254940\pi\)
−0.717996 + 0.696047i \(0.754940\pi\)
\(338\) −8.09080 8.09080i −0.440082 0.440082i
\(339\) −18.4506 + 1.73400i −1.00210 + 0.0941780i
\(340\) 2.03927 + 2.82457i 0.110595 + 0.153184i
\(341\) 39.5694i 2.14280i
\(342\) −1.68894 + 2.47941i −0.0913274 + 0.134071i
\(343\) 13.7846 13.7846i 0.744299 0.744299i
\(344\) −0.282082 −0.0152088
\(345\) 4.79396 + 0.318643i 0.258098 + 0.0171551i
\(346\) −13.8492 −0.744539
\(347\) −14.5943 + 14.5943i −0.783464 + 0.783464i −0.980414 0.196950i \(-0.936896\pi\)
0.196950 + 0.980414i \(0.436896\pi\)
\(348\) −6.72244 5.56743i −0.360361 0.298445i
\(349\) 6.25742i 0.334952i 0.985876 + 0.167476i \(0.0535617\pi\)
−0.985876 + 0.167476i \(0.946438\pi\)
\(350\) −8.68851 2.88074i −0.464420 0.153982i
\(351\) 6.23099 1.79929i 0.332586 0.0960389i
\(352\) −2.86519 2.86519i −0.152715 0.152715i
\(353\) −0.898203 0.898203i −0.0478065 0.0478065i 0.682799 0.730606i \(-0.260762\pi\)
−0.730606 + 0.682799i \(0.760762\pi\)
\(354\) −0.196980 2.09595i −0.0104694 0.111399i
\(355\) 2.57635 15.9568i 0.136738 0.846901i
\(356\) 15.5041i 0.821715i
\(357\) −3.15111 + 3.80483i −0.166774 + 0.201373i
\(358\) 1.91540 1.91540i 0.101232 0.101232i
\(359\) 0.967026 0.0510377 0.0255188 0.999674i \(-0.491876\pi\)
0.0255188 + 0.999674i \(0.491876\pi\)
\(360\) −4.61200 + 4.87129i −0.243074 + 0.256740i
\(361\) −1.00000 −0.0526316
\(362\) −9.42794 + 9.42794i −0.495522 + 0.495522i
\(363\) 5.98639 7.22832i 0.314204 0.379388i
\(364\) 2.28502i 0.119767i
\(365\) 7.81909 5.64519i 0.409270 0.295483i
\(366\) −0.236245 2.51376i −0.0123487 0.131396i
\(367\) −19.7540 19.7540i −1.03115 1.03115i −0.999499 0.0316528i \(-0.989923\pi\)
−0.0316528 0.999499i \(-0.510077\pi\)
\(368\) −0.877184 0.877184i −0.0457264 0.0457264i
\(369\) 5.53040 1.04877i 0.287901 0.0545967i
\(370\) 9.43206 + 1.52287i 0.490350 + 0.0791704i
\(371\) 16.4170i 0.852330i
\(372\) 13.0268 + 10.7886i 0.675406 + 0.559361i
\(373\) −9.91796 + 9.91796i −0.513532 + 0.513532i −0.915607 0.402075i \(-0.868289\pi\)
0.402075 + 0.915607i \(0.368289\pi\)
\(374\) 6.31299 0.326437
\(375\) 17.8447 7.52102i 0.921498 0.388384i
\(376\) 11.7910 0.608073
\(377\) −4.44767 + 4.44767i −0.229067 + 0.229067i
\(378\) −8.32860 4.59634i −0.428377 0.236410i
\(379\) 21.6057i 1.10981i 0.831913 + 0.554906i \(0.187246\pi\)
−0.831913 + 0.554906i \(0.812754\pi\)
\(380\) −2.20748 0.356413i −0.113241 0.0182836i
\(381\) −2.64117 + 0.248220i −0.135311 + 0.0127167i
\(382\) 11.0503 + 11.0503i 0.565383 + 0.565383i
\(383\) 21.2148 + 21.2148i 1.08403 + 1.08403i 0.996129 + 0.0878986i \(0.0280151\pi\)
0.0878986 + 0.996129i \(0.471985\pi\)
\(384\) 1.72445 0.162066i 0.0880006 0.00827038i
\(385\) −13.4486 + 9.70955i −0.685404 + 0.494844i
\(386\) 16.6001i 0.844922i
\(387\) 0.699397 + 0.476419i 0.0355524 + 0.0242178i
\(388\) −7.86520 + 7.86520i −0.399295 + 0.399295i
\(389\) −27.1443 −1.37627 −0.688136 0.725581i \(-0.741571\pi\)
−0.688136 + 0.725581i \(0.741571\pi\)
\(390\) 3.18397 + 3.63737i 0.161227 + 0.184186i
\(391\) 1.93273 0.0977426
\(392\) 2.57984 2.57984i 0.130302 0.130302i
\(393\) 8.01702 + 6.63958i 0.404405 + 0.334922i
\(394\) 14.7653i 0.743863i
\(395\) −4.68288 + 29.0039i −0.235621 + 1.45934i
\(396\) 2.26486 + 11.9431i 0.113813 + 0.600165i
\(397\) 6.88529 + 6.88529i 0.345563 + 0.345563i 0.858454 0.512891i \(-0.171426\pi\)
−0.512891 + 0.858454i \(0.671426\pi\)
\(398\) −5.15183 5.15183i −0.258238 0.258238i
\(399\) −0.296698 3.15700i −0.0148535 0.158048i
\(400\) −4.74594 1.57355i −0.237297 0.0786776i
\(401\) 23.1091i 1.15401i −0.816740 0.577006i \(-0.804221\pi\)
0.816740 0.577006i \(-0.195779\pi\)
\(402\) −3.52791 + 4.25980i −0.175956 + 0.212460i
\(403\) 8.61871 8.61871i 0.429328 0.429328i
\(404\) −1.64156 −0.0816705
\(405\) 19.6624 4.28856i 0.977030 0.213100i
\(406\) 9.22580 0.457869
\(407\) 12.2423 12.2423i 0.606829 0.606829i
\(408\) −1.72123 + 2.07832i −0.0852138 + 0.102892i
\(409\) 23.2391i 1.14910i −0.818469 0.574550i \(-0.805177\pi\)
0.818469 0.574550i \(-0.194823\pi\)
\(410\) 2.45592 + 3.40167i 0.121289 + 0.167997i
\(411\) −0.320985 3.41543i −0.0158330 0.168471i
\(412\) −6.66370 6.66370i −0.328297 0.328297i
\(413\) 1.57340 + 1.57340i 0.0774218 + 0.0774218i
\(414\) 0.693390 + 3.65641i 0.0340783 + 0.179703i
\(415\) 7.42604 + 10.2857i 0.364530 + 0.504907i
\(416\) 1.24815i 0.0611956i
\(417\) 31.2535 + 25.8837i 1.53049 + 1.26753i
\(418\) −2.86519 + 2.86519i −0.140141 + 0.140141i
\(419\) −18.0505 −0.881827 −0.440913 0.897550i \(-0.645345\pi\)
−0.440913 + 0.897550i \(0.645345\pi\)
\(420\) 0.470242 7.07475i 0.0229455 0.345213i
\(421\) 16.0363 0.781559 0.390780 0.920484i \(-0.372205\pi\)
0.390780 + 0.920484i \(0.372205\pi\)
\(422\) −0.904131 + 0.904131i −0.0440124 + 0.0440124i
\(423\) −29.2347 19.9142i −1.42144 0.968264i
\(424\) 8.96751i 0.435501i
\(425\) 6.96199 3.49492i 0.337706 0.169529i
\(426\) 12.4653 1.17150i 0.603944 0.0567592i
\(427\) 1.88703 + 1.88703i 0.0913200 + 0.0913200i
\(428\) −13.0841 13.0841i −0.632442 0.632442i
\(429\) 8.72141 0.819646i 0.421074 0.0395729i
\(430\) −0.100538 + 0.622690i −0.00484836 + 0.0300288i
\(431\) 26.9716i 1.29918i −0.760285 0.649589i \(-0.774941\pi\)
0.760285 0.649589i \(-0.225059\pi\)
\(432\) −4.54935 2.51067i −0.218881 0.120795i
\(433\) −24.4001 + 24.4001i −1.17259 + 1.17259i −0.191004 + 0.981589i \(0.561175\pi\)
−0.981589 + 0.191004i \(0.938825\pi\)
\(434\) −17.8778 −0.858161
\(435\) −14.6860 + 12.8554i −0.704138 + 0.616367i
\(436\) −13.1807 −0.631241
\(437\) −0.877184 + 0.877184i −0.0419614 + 0.0419614i
\(438\) 5.75330 + 4.76480i 0.274903 + 0.227671i
\(439\) 30.0037i 1.43200i 0.698102 + 0.715999i \(0.254028\pi\)
−0.698102 + 0.715999i \(0.745972\pi\)
\(440\) −7.34605 + 5.30366i −0.350209 + 0.252842i
\(441\) −10.7537 + 2.03930i −0.512080 + 0.0971093i
\(442\) 1.37505 + 1.37505i 0.0654044 + 0.0654044i
\(443\) 15.2430 + 15.2430i 0.724218 + 0.724218i 0.969461 0.245244i \(-0.0788680\pi\)
−0.245244 + 0.969461i \(0.578868\pi\)
\(444\) 0.692470 + 7.36819i 0.0328632 + 0.349679i
\(445\) −34.2250 5.52587i −1.62242 0.261951i
\(446\) 27.7005i 1.31166i
\(447\) 4.82404 5.82483i 0.228169 0.275505i
\(448\) −1.29452 + 1.29452i −0.0611602 + 0.0611602i
\(449\) −31.8336 −1.50232 −0.751159 0.660121i \(-0.770505\pi\)
−0.751159 + 0.660121i \(0.770505\pi\)
\(450\) 9.10951 + 11.9171i 0.429426 + 0.561777i
\(451\) 7.60285 0.358004
\(452\) 7.56560 7.56560i 0.355856 0.355856i
\(453\) 22.4634 27.1237i 1.05542 1.27438i
\(454\) 3.03448i 0.142415i
\(455\) −5.04413 0.814411i −0.236473 0.0381802i
\(456\) −0.162066 1.72445i −0.00758942 0.0807549i
\(457\) −14.6130 14.6130i −0.683567 0.683567i 0.277235 0.960802i \(-0.410582\pi\)
−0.960802 + 0.277235i \(0.910582\pi\)
\(458\) 12.8580 + 12.8580i 0.600813 + 0.600813i
\(459\) 7.77781 2.24595i 0.363037 0.104832i
\(460\) −2.24901 + 1.62373i −0.104860 + 0.0757066i
\(461\) 23.6296i 1.10054i −0.834987 0.550270i \(-0.814525\pi\)
0.834987 0.550270i \(-0.185475\pi\)
\(462\) −9.89550 8.19531i −0.460380 0.381280i
\(463\) −4.82963 + 4.82963i −0.224452 + 0.224452i −0.810370 0.585918i \(-0.800734\pi\)
0.585918 + 0.810370i \(0.300734\pi\)
\(464\) 5.03943 0.233950
\(465\) 28.4585 24.9111i 1.31973 1.15523i
\(466\) −7.26656 −0.336617
\(467\) −14.3607 + 14.3607i −0.664534 + 0.664534i −0.956445 0.291911i \(-0.905709\pi\)
0.291911 + 0.956445i \(0.405709\pi\)
\(468\) −2.10805 + 3.09468i −0.0974446 + 0.143052i
\(469\) 5.84611i 0.269948i
\(470\) 4.20246 26.0284i 0.193845 1.20060i
\(471\) −20.4103 + 1.91817i −0.940455 + 0.0883848i
\(472\) 0.859440 + 0.859440i 0.0395589 + 0.0395589i
\(473\) 0.808219 + 0.808219i 0.0371620 + 0.0371620i
\(474\) −22.6574 + 2.12937i −1.04069 + 0.0978050i
\(475\) −1.57355 + 4.74594i −0.0721995 + 0.217759i
\(476\) 2.85226i 0.130733i
\(477\) 15.1456 22.2342i 0.693469 1.01803i
\(478\) −18.3207 + 18.3207i −0.837970 + 0.837970i
\(479\) 33.8055 1.54461 0.772307 0.635249i \(-0.219103\pi\)
0.772307 + 0.635249i \(0.219103\pi\)
\(480\) 0.256861 3.86446i 0.0117240 0.176387i
\(481\) 5.33306 0.243167
\(482\) −16.5076 + 16.5076i −0.751902 + 0.751902i
\(483\) −3.02952 2.50901i −0.137848 0.114164i
\(484\) 5.41865i 0.246302i
\(485\) 14.5590 + 20.1655i 0.661091 + 0.915670i
\(486\) 7.03934 + 13.9085i 0.319311 + 0.630905i
\(487\) 7.43111 + 7.43111i 0.336736 + 0.336736i 0.855137 0.518402i \(-0.173473\pi\)
−0.518402 + 0.855137i \(0.673473\pi\)
\(488\) 1.03076 + 1.03076i 0.0466602 + 0.0466602i
\(489\) −2.18153 23.2124i −0.0986520 1.04970i
\(490\) −4.77546 6.61444i −0.215733 0.298810i
\(491\) 13.2044i 0.595905i −0.954581 0.297952i \(-0.903696\pi\)
0.954581 0.297952i \(-0.0963036\pi\)
\(492\) −2.07291 + 2.50296i −0.0934541 + 0.112842i
\(493\) −5.55179 + 5.55179i −0.250040 + 0.250040i
\(494\) −1.24815 −0.0561569
\(495\) 27.1714 0.742937i 1.22127 0.0333925i
\(496\) −9.76541 −0.438480
\(497\) −9.35746 + 9.35746i −0.419740 + 0.419740i
\(498\) −6.26792 + 7.56826i −0.280872 + 0.339142i
\(499\) 8.93586i 0.400024i −0.979793 0.200012i \(-0.935902\pi\)
0.979793 0.200012i \(-0.0640981\pi\)
\(500\) −5.16510 + 9.91573i −0.230990 + 0.443445i
\(501\) −2.15743 22.9560i −0.0963869 1.02560i
\(502\) −18.7927 18.7927i −0.838758 0.838758i
\(503\) −2.19515 2.19515i −0.0978767 0.0978767i 0.656473 0.754350i \(-0.272048\pi\)
−0.754350 + 0.656473i \(0.772048\pi\)
\(504\) 5.39600 1.02328i 0.240357 0.0455806i
\(505\) −0.585073 + 3.62370i −0.0260354 + 0.161253i
\(506\) 5.02660i 0.223460i
\(507\) −15.2634 12.6410i −0.677873 0.561405i
\(508\) 1.08300 1.08300i 0.0480505 0.0480505i
\(509\) 3.39889 0.150653 0.0753265 0.997159i \(-0.476000\pi\)
0.0753265 + 0.997159i \(0.476000\pi\)
\(510\) 3.97438 + 4.54033i 0.175988 + 0.201049i
\(511\) −7.89577 −0.349288
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −2.51067 + 4.54935i −0.110849 + 0.200859i
\(514\) 4.68583i 0.206683i
\(515\) −17.0850 + 12.3350i −0.752856 + 0.543543i
\(516\) −0.486437 + 0.0457158i −0.0214142 + 0.00201253i
\(517\) −33.7834 33.7834i −1.48579 1.48579i
\(518\) −5.53118 5.53118i −0.243026 0.243026i
\(519\) −23.8823 + 2.24448i −1.04832 + 0.0985219i
\(520\) −2.75527 0.444857i −0.120826 0.0195083i
\(521\) 7.98825i 0.349972i 0.984571 + 0.174986i \(0.0559879\pi\)
−0.984571 + 0.174986i \(0.944012\pi\)
\(522\) −12.4948 8.51128i −0.546883 0.372529i
\(523\) 26.3556 26.3556i 1.15245 1.15245i 0.166388 0.986060i \(-0.446790\pi\)
0.986060 0.166388i \(-0.0532105\pi\)
\(524\) −6.00990 −0.262544
\(525\) −15.4498 3.55959i −0.674284 0.155353i
\(526\) −12.0296 −0.524517
\(527\) 10.7583 10.7583i 0.468637 0.468637i
\(528\) −5.40524 4.47654i −0.235233 0.194816i
\(529\) 21.4611i 0.933091i
\(530\) 19.7956 + 3.19614i 0.859866 + 0.138832i
\(531\) −0.679364 3.58245i −0.0294819 0.155465i
\(532\) 1.29452 + 1.29452i 0.0561245 + 0.0561245i
\(533\) 1.65600 + 1.65600i 0.0717291 + 0.0717291i
\(534\) −2.51268 26.7361i −0.108734 1.15698i
\(535\) −33.5462 + 24.2195i −1.45033 + 1.04710i
\(536\) 3.19333i 0.137931i
\(537\) 2.99259 3.61343i 0.129140 0.155931i
\(538\) 13.5151 13.5151i 0.582676 0.582676i
\(539\) −14.7835 −0.636770
\(540\) −7.16370 + 9.14776i −0.308276 + 0.393657i
\(541\) 6.97397 0.299834 0.149917 0.988699i \(-0.452099\pi\)
0.149917 + 0.988699i \(0.452099\pi\)
\(542\) −11.3585 + 11.3585i −0.487890 + 0.487890i
\(543\) −14.7301 + 17.7860i −0.632128 + 0.763269i
\(544\) 1.55800i 0.0667986i
\(545\) −4.69778 + 29.0961i −0.201231 + 1.24634i
\(546\) −0.370323 3.94040i −0.0158484 0.168634i
\(547\) −2.68199 2.68199i −0.114674 0.114674i 0.647442 0.762115i \(-0.275839\pi\)
−0.762115 + 0.647442i \(0.775839\pi\)
\(548\) 1.40049 + 1.40049i 0.0598258 + 0.0598258i
\(549\) −0.814787 4.29656i −0.0347743 0.183373i
\(550\) 9.08950 + 18.1066i 0.387578 + 0.772066i
\(551\) 5.03943i 0.214687i
\(552\) −1.65482 1.37050i −0.0704339 0.0583324i
\(553\) 17.0086 17.0086i 0.723277 0.723277i
\(554\) 14.5571 0.618473
\(555\) 16.5119 + 1.09751i 0.700893 + 0.0465867i
\(556\) −23.4290 −0.993610
\(557\) 6.84374 6.84374i 0.289979 0.289979i −0.547093 0.837072i \(-0.684266\pi\)
0.837072 + 0.547093i \(0.184266\pi\)
\(558\) 24.2125 + 16.4932i 1.02500 + 0.698212i
\(559\) 0.352081i 0.0148914i
\(560\) 2.39624 + 3.31901i 0.101260 + 0.140254i
\(561\) 10.8865 1.02312i 0.459626 0.0431961i
\(562\) −15.8138 15.8138i −0.667063 0.667063i
\(563\) −24.0154 24.0154i −1.01213 1.01213i −0.999926 0.0122028i \(-0.996116\pi\)
−0.0122028 0.999926i \(-0.503884\pi\)
\(564\) 20.3330 1.91091i 0.856173 0.0804639i
\(565\) −14.0044 19.3974i −0.589171 0.816054i
\(566\) 32.3336i 1.35908i
\(567\) −15.1072 6.57639i −0.634442 0.276182i
\(568\) −5.11134 + 5.11134i −0.214467 + 0.214467i
\(569\) 12.3367 0.517182 0.258591 0.965987i \(-0.416742\pi\)
0.258591 + 0.965987i \(0.416742\pi\)
\(570\) −3.86446 0.256861i −0.161864 0.0107587i
\(571\) −2.43566 −0.101929 −0.0509646 0.998700i \(-0.516230\pi\)
−0.0509646 + 0.998700i \(0.516230\pi\)
\(572\) −3.57619 + 3.57619i −0.149528 + 0.149528i
\(573\) 20.8466 + 17.2649i 0.870880 + 0.721250i
\(574\) 3.43503i 0.143375i
\(575\) 2.78277 + 5.54335i 0.116049 + 0.231174i
\(576\) 2.94747 0.558949i 0.122811 0.0232895i
\(577\) 20.3964 + 20.3964i 0.849115 + 0.849115i 0.990023 0.140908i \(-0.0450021\pi\)
−0.140908 + 0.990023i \(0.545002\pi\)
\(578\) −10.3044 10.3044i −0.428607 0.428607i
\(579\) −2.69030 28.6260i −0.111805 1.18966i
\(580\) 1.79612 11.1244i 0.0745798 0.461917i
\(581\) 10.3866i 0.430909i
\(582\) −12.2885 + 14.8378i −0.509374 + 0.615048i
\(583\) 25.6936 25.6936i 1.06412 1.06412i
\(584\) −4.31292 −0.178470
\(585\) 6.08010 + 5.75646i 0.251381 + 0.238000i
\(586\) 23.6769 0.978084
\(587\) −7.30666 + 7.30666i −0.301578 + 0.301578i −0.841631 0.540053i \(-0.818404\pi\)
0.540053 + 0.841631i \(0.318404\pi\)
\(588\) 4.03071 4.86692i 0.166224 0.200708i
\(589\) 9.76541i 0.402377i
\(590\) 2.20351 1.59088i 0.0907172 0.0654955i
\(591\) −2.39294 25.4620i −0.0984325 1.04737i
\(592\) −3.02131 3.02131i −0.124175 0.124175i
\(593\) −30.5679 30.5679i −1.25527 1.25527i −0.953324 0.301950i \(-0.902362\pi\)
−0.301950 0.953324i \(-0.597638\pi\)
\(594\) 5.84121 + 20.2283i 0.239668 + 0.829977i
\(595\) −6.29631 1.01658i −0.258124 0.0416759i
\(596\) 4.36654i 0.178861i
\(597\) −9.71902 8.04915i −0.397773 0.329430i
\(598\) −1.09486 + 1.09486i −0.0447720 + 0.0447720i
\(599\) 23.0022 0.939843 0.469921 0.882708i \(-0.344282\pi\)
0.469921 + 0.882708i \(0.344282\pi\)
\(600\) −8.43916 1.94436i −0.344527 0.0793781i
\(601\) −13.6513 −0.556847 −0.278423 0.960458i \(-0.589812\pi\)
−0.278423 + 0.960458i \(0.589812\pi\)
\(602\) 0.365160 0.365160i 0.0148828 0.0148828i
\(603\) −5.39334 + 7.91758i −0.219634 + 0.322429i
\(604\) 20.3330i 0.827340i
\(605\) 11.9616 + 1.93128i 0.486307 + 0.0785177i
\(606\) −2.83079 + 0.266040i −0.114993 + 0.0108071i
\(607\) 1.96645 + 1.96645i 0.0798158 + 0.0798158i 0.745888 0.666072i \(-0.232026\pi\)
−0.666072 + 0.745888i \(0.732026\pi\)
\(608\) 0.707107 + 0.707107i 0.0286770 + 0.0286770i
\(609\) 15.9095 1.49519i 0.644684 0.0605880i
\(610\) 2.64276 1.90800i 0.107002 0.0772528i
\(611\) 14.7169i 0.595382i
\(612\) −2.63136 + 3.86292i −0.106366 + 0.156149i
\(613\) −12.1077 + 12.1077i −0.489025 + 0.489025i −0.907999 0.418973i \(-0.862390\pi\)
0.418973 + 0.907999i \(0.362390\pi\)
\(614\) −0.545878 −0.0220298
\(615\) 4.78641 + 5.46800i 0.193007 + 0.220491i
\(616\) 7.41808 0.298883
\(617\) −30.8463 + 30.8463i −1.24183 + 1.24183i −0.282582 + 0.959243i \(0.591191\pi\)
−0.959243 + 0.282582i \(0.908809\pi\)
\(618\) −12.5712 10.4113i −0.505687 0.418803i
\(619\) 28.1904i 1.13307i −0.824039 0.566534i \(-0.808284\pi\)
0.824039 0.566534i \(-0.191716\pi\)
\(620\) −3.48052 + 21.5569i −0.139781 + 0.865748i
\(621\) 1.78830 + 6.19293i 0.0717619 + 0.248514i
\(622\) 21.0708 + 21.0708i 0.844862 + 0.844862i
\(623\) 20.0703 + 20.0703i 0.804101 + 0.804101i
\(624\) −0.202282 2.15237i −0.00809777 0.0861639i
\(625\) 20.0479 + 14.9360i 0.801915 + 0.597438i
\(626\) 20.6787i 0.826486i
\(627\) −4.47654 + 5.40524i −0.178776 + 0.215864i
\(628\) 8.36917 8.36917i 0.333966 0.333966i
\(629\) 6.65697 0.265431
\(630\) −0.335665 12.2763i −0.0133732 0.489099i
\(631\) −44.8116 −1.78392 −0.891961 0.452113i \(-0.850670\pi\)
−0.891961 + 0.452113i \(0.850670\pi\)
\(632\) 9.29061 9.29061i 0.369561 0.369561i
\(633\) −1.41260 + 1.70566i −0.0561459 + 0.0677939i
\(634\) 3.80868i 0.151262i
\(635\) −2.00471 2.77671i −0.0795546 0.110190i
\(636\) 1.45333 + 15.4640i 0.0576281 + 0.613189i
\(637\) −3.22003 3.22003i −0.127582 0.127582i
\(638\) −14.4389 14.4389i −0.571643 0.571643i
\(639\) 21.3059 4.04038i 0.842848 0.159835i
\(640\) 1.30890 + 1.81295i 0.0517389 + 0.0716630i
\(641\) 9.11894i 0.360176i 0.983650 + 0.180088i \(0.0576383\pi\)
−0.983650 + 0.180088i \(0.942362\pi\)
\(642\) −24.6833 20.4424i −0.974173 0.806796i
\(643\) 12.0846 12.0846i 0.476572 0.476572i −0.427462 0.904034i \(-0.640592\pi\)
0.904034 + 0.427462i \(0.140592\pi\)
\(644\) 2.27106 0.0894923
\(645\) −0.0724559 + 1.09009i −0.00285295 + 0.0429224i
\(646\) −1.55800 −0.0612986
\(647\) 1.21178 1.21178i 0.0476399 0.0476399i −0.682886 0.730525i \(-0.739275\pi\)
0.730525 + 0.682886i \(0.239275\pi\)
\(648\) −8.25202 3.59223i −0.324170 0.141116i
\(649\) 4.92492i 0.193320i
\(650\) −1.96403 + 5.92364i −0.0770355 + 0.232344i
\(651\) −30.8294 + 2.89737i −1.20830 + 0.113557i
\(652\) 9.51819 + 9.51819i 0.372761 + 0.372761i
\(653\) −7.87945 7.87945i −0.308347 0.308347i 0.535921 0.844268i \(-0.319964\pi\)
−0.844268 + 0.535921i \(0.819964\pi\)
\(654\) −22.7295 + 2.13614i −0.888793 + 0.0835296i
\(655\) −2.14201 + 13.2667i −0.0836952 + 0.518374i
\(656\) 1.87632i 0.0732581i
\(657\) 10.6935 + 7.28426i 0.417193 + 0.284186i
\(658\) −15.2636 + 15.2636i −0.595038 + 0.595038i
\(659\) 30.2646 1.17894 0.589471 0.807789i \(-0.299336\pi\)
0.589471 + 0.807789i \(0.299336\pi\)
\(660\) −11.8084 + 10.3365i −0.459640 + 0.402346i
\(661\) −21.0286 −0.817917 −0.408958 0.912553i \(-0.634108\pi\)
−0.408958 + 0.912553i \(0.634108\pi\)
\(662\) 2.22309 2.22309i 0.0864027 0.0864027i
\(663\) 2.59405 + 2.14836i 0.100745 + 0.0834353i
\(664\) 5.67349i 0.220174i
\(665\) 3.31901 2.39624i 0.128706 0.0929222i
\(666\) 2.38826 + 12.5939i 0.0925433 + 0.488002i
\(667\) −4.42050 4.42050i −0.171163 0.171163i
\(668\) 9.41306 + 9.41306i 0.364202 + 0.364202i
\(669\) 4.48930 + 47.7682i 0.173566 + 1.84682i
\(670\) −7.04921 1.13815i −0.272335 0.0439704i
\(671\) 5.90664i 0.228023i
\(672\) −2.02254 + 2.44213i −0.0780210 + 0.0942072i
\(673\) −22.0700 + 22.0700i −0.850736 + 0.850736i −0.990224 0.139488i \(-0.955454\pi\)
0.139488 + 0.990224i \(0.455454\pi\)
\(674\) 0.569824 0.0219488
\(675\) 17.6403 + 19.0741i 0.678974 + 0.734162i
\(676\) 11.4421 0.440082
\(677\) 18.2077 18.2077i 0.699780 0.699780i −0.264583 0.964363i \(-0.585234\pi\)
0.964363 + 0.264583i \(0.0852342\pi\)
\(678\) 11.8204 14.2726i 0.453959 0.548137i
\(679\) 20.3633i 0.781471i
\(680\) −3.43925 0.555291i −0.131889 0.0212944i
\(681\) 0.491785 + 5.23282i 0.0188452 + 0.200522i
\(682\) 27.9798 + 27.9798i 1.07140 + 1.07140i
\(683\) 27.5676 + 27.5676i 1.05484 + 1.05484i 0.998406 + 0.0564381i \(0.0179744\pi\)
0.0564381 + 0.998406i \(0.482026\pi\)
\(684\) −0.558949 2.94747i −0.0213719 0.112699i
\(685\) 3.59070 2.59239i 0.137194 0.0990503i
\(686\) 19.4944i 0.744299i
\(687\) 24.2568 + 20.0891i 0.925454 + 0.766447i
\(688\) 0.199462 0.199462i 0.00760442 0.00760442i
\(689\) 11.1928 0.426412
\(690\) −3.61515 + 3.16452i −0.137627 + 0.120471i
\(691\) 16.3113 0.620510 0.310255 0.950653i \(-0.399586\pi\)
0.310255 + 0.950653i \(0.399586\pi\)
\(692\) 9.79289 9.79289i 0.372270 0.372270i
\(693\) −18.3925 12.5287i −0.698673 0.475926i
\(694\) 20.6395i 0.783464i
\(695\) −8.35040 + 51.7190i −0.316749 + 1.96181i
\(696\) 8.69025 0.816718i 0.329403 0.0309576i
\(697\) 2.06709 + 2.06709i 0.0782965 + 0.0782965i
\(698\) −4.42467 4.42467i −0.167476 0.167476i
\(699\) −12.5308 + 1.17766i −0.473960 + 0.0445432i
\(700\) 8.18069 4.10671i 0.309201 0.155219i
\(701\) 16.2155i 0.612453i 0.951959 + 0.306226i \(0.0990664\pi\)
−0.951959 + 0.306226i \(0.900934\pi\)
\(702\) −3.13369 + 5.67827i −0.118273 + 0.214312i
\(703\) −3.02131 + 3.02131i −0.113951 + 0.113951i
\(704\) 4.05199 0.152715
\(705\) 3.02864 45.5657i 0.114065 1.71610i
\(706\) 1.27025 0.0478065
\(707\) 2.12502 2.12502i 0.0799198 0.0799198i
\(708\) 1.62135 + 1.34278i 0.0609340 + 0.0504646i
\(709\) 27.2559i 1.02362i 0.859100 + 0.511808i \(0.171024\pi\)
−0.859100 + 0.511808i \(0.828976\pi\)
\(710\) 9.46144 + 13.1049i 0.355082 + 0.491820i
\(711\) −38.7265 + 7.34398i −1.45236 + 0.275421i
\(712\) 10.9631 + 10.9631i 0.410858 + 0.410858i
\(713\) 8.56606 + 8.56606i 0.320801 + 0.320801i
\(714\) −0.462254 4.91859i −0.0172994 0.184074i
\(715\) 6.61977 + 9.16897i 0.247565 + 0.342900i
\(716\) 2.70878i 0.101232i
\(717\) −28.6240 + 34.5624i −1.06898 + 1.29076i
\(718\) −0.683791 + 0.683791i −0.0255188 + 0.0255188i
\(719\) 27.9463 1.04222 0.521111 0.853489i \(-0.325518\pi\)
0.521111 + 0.853489i \(0.325518\pi\)
\(720\) −0.183351 6.70570i −0.00683309 0.249907i
\(721\) 17.2526 0.642519
\(722\) 0.707107 0.707107i 0.0263158 0.0263158i
\(723\) −25.7913 + 31.1419i −0.959189 + 1.15818i
\(724\) 13.3331i 0.495522i
\(725\) −23.9168 7.92979i −0.888248 0.294505i
\(726\) 0.878178 + 9.34421i 0.0325922 + 0.346796i
\(727\) 0.785783 + 0.785783i 0.0291431 + 0.0291431i 0.721528 0.692385i \(-0.243440\pi\)
−0.692385 + 0.721528i \(0.743440\pi\)
\(728\) 1.61575 + 1.61575i 0.0598837 + 0.0598837i
\(729\) 14.3931 + 22.8438i 0.533078 + 0.846066i
\(730\) −1.53718 + 9.52068i −0.0568937 + 0.352376i
\(731\) 0.439483i 0.0162549i
\(732\) 1.94454 + 1.61044i 0.0718724 + 0.0595237i
\(733\) 32.5824 32.5824i 1.20346 1.20346i 0.230353 0.973107i \(-0.426012\pi\)
0.973107 0.230353i \(-0.0739880\pi\)
\(734\) 27.9364 1.03115
\(735\) −9.30703 10.6323i −0.343295 0.392180i
\(736\) 1.24053 0.0457264
\(737\) −9.14951 + 9.14951i −0.337026 + 0.337026i
\(738\) −3.16899 + 4.65218i −0.116652 + 0.171249i
\(739\) 29.4181i 1.08216i 0.840970 + 0.541082i \(0.181985\pi\)
−0.840970 + 0.541082i \(0.818015\pi\)
\(740\) −7.74631 + 5.59264i −0.284760 + 0.205590i
\(741\) −2.15237 + 0.202282i −0.0790694 + 0.00743102i
\(742\) −11.6086 11.6086i −0.426165 0.426165i
\(743\) −15.5044 15.5044i −0.568802 0.568802i 0.362991 0.931793i \(-0.381756\pi\)
−0.931793 + 0.362991i \(0.881756\pi\)
\(744\) −16.8400 + 1.58264i −0.617384 + 0.0580223i
\(745\) 9.63905 + 1.55629i 0.353148 + 0.0570182i
\(746\) 14.0261i 0.513532i
\(747\) −9.58218 + 14.0669i −0.350594 + 0.514682i
\(748\) −4.46396 + 4.46396i −0.163219 + 0.163219i
\(749\) 33.8751 1.23777
\(750\) −7.29997 + 17.9363i −0.266557 + 0.654941i
\(751\) −30.2158 −1.10259 −0.551295 0.834311i \(-0.685866\pi\)
−0.551295 + 0.834311i \(0.685866\pi\)
\(752\) −8.33748 + 8.33748i −0.304037 + 0.304037i
\(753\) −35.4527 29.3614i −1.29197 1.06999i
\(754\) 6.28996i 0.229067i
\(755\) 44.8848 + 7.24697i 1.63353 + 0.263744i
\(756\) 9.13931 2.63911i 0.332394 0.0959834i
\(757\) 26.1455 + 26.1455i 0.950273 + 0.950273i 0.998821 0.0485482i \(-0.0154594\pi\)
−0.0485482 + 0.998821i \(0.515459\pi\)
\(758\) −15.2776 15.2776i −0.554906 0.554906i
\(759\) 0.814639 + 8.66813i 0.0295695 + 0.314633i
\(760\) 1.81295 1.30890i 0.0657625 0.0474789i
\(761\) 21.4239i 0.776614i −0.921530 0.388307i \(-0.873060\pi\)
0.921530 0.388307i \(-0.126940\pi\)
\(762\) 1.69207 2.04311i 0.0612972 0.0740139i
\(763\) 17.0626 17.0626i 0.617709 0.617709i
\(764\) −15.6275 −0.565383
\(765\) 7.58946 + 7.18547i 0.274397 + 0.259791i
\(766\) −30.0023 −1.08403
\(767\) 1.07271 1.07271i 0.0387333 0.0387333i
\(768\) −1.10477 + 1.33397i −0.0398651 + 0.0481355i
\(769\) 5.25678i 0.189564i −0.995498 0.0947821i \(-0.969785\pi\)
0.995498 0.0947821i \(-0.0302154\pi\)
\(770\) 2.64390 16.3753i 0.0952797 0.590124i
\(771\) −0.759413 8.08049i −0.0273496 0.291012i
\(772\) 11.7380 + 11.7380i 0.422461 + 0.422461i
\(773\) −28.7467 28.7467i −1.03395 1.03395i −0.999403 0.0345431i \(-0.989002\pi\)
−0.0345431 0.999403i \(-0.510998\pi\)
\(774\) −0.831428 + 0.157669i −0.0298851 + 0.00566731i
\(775\) 46.3460 + 15.3664i 1.66480 + 0.551976i
\(776\) 11.1231i 0.399295i
\(777\) −10.4347 8.64184i −0.374342 0.310024i
\(778\) 19.1939