Properties

Label 483.2.y.b.4.10
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

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

Embedding invariants

Embedding label 4.10
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.199911 - 0.280735i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.615288 + 1.77776i) q^{4} +(-0.0359296 + 0.754254i) q^{5} +(-0.225691 - 0.260461i) q^{6} +(2.50738 - 0.844407i) q^{7} +(1.28344 + 0.376852i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(0.199911 - 0.280735i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.615288 + 1.77776i) q^{4} +(-0.0359296 + 0.754254i) q^{5} +(-0.225691 - 0.260461i) q^{6} +(2.50738 - 0.844407i) q^{7} +(1.28344 + 0.376852i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(0.204563 + 0.160870i) q^{10} +(-0.469273 - 0.659002i) q^{11} +(1.87271 - 0.178822i) q^{12} +(-0.698049 + 4.85504i) q^{13} +(0.264198 - 0.872717i) q^{14} +(0.724522 + 0.212739i) q^{15} +(-2.59511 + 2.04082i) q^{16} +(5.29061 - 1.01968i) q^{17} +(-0.306328 + 0.157923i) q^{18} +(-0.866568 - 0.167017i) q^{19} +(-1.36299 + 0.400209i) q^{20} +(-0.229466 - 2.63578i) q^{21} -0.278818 q^{22} +(0.502495 - 4.76943i) q^{23} +(0.668812 - 1.15842i) q^{24} +(4.40975 + 0.421080i) q^{25} +(1.22343 + 1.16654i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(3.04391 + 3.93797i) q^{28} +(2.97137 + 3.42914i) q^{29} +(0.204563 - 0.160870i) q^{30} +(-3.93497 + 3.75198i) q^{31} +(0.181433 + 3.80874i) q^{32} +(-0.751061 + 0.300680i) q^{33} +(0.771389 - 1.68911i) q^{34} +(0.546808 + 1.92154i) q^{35} +(0.267726 - 1.86208i) q^{36} +(-0.990899 - 0.510844i) q^{37} +(-0.220124 + 0.209888i) q^{38} +(4.55361 + 1.82299i) q^{39} +(-0.330356 + 0.954501i) q^{40} +(-8.08277 - 5.19448i) q^{41} +(-0.785830 - 0.462502i) q^{42} +(9.49137 - 2.78692i) q^{43} +(0.882808 - 1.23973i) q^{44} +(0.377555 - 0.653944i) q^{45} +(-1.23849 - 1.09453i) q^{46} +(-6.00086 - 10.3938i) q^{47} +(1.37147 + 3.00310i) q^{48} +(5.57395 - 4.23451i) q^{49} +(0.999768 - 1.15379i) q^{50} +(0.256370 - 5.38187i) q^{51} +(-9.06058 + 1.74628i) q^{52} +(6.69076 + 2.67858i) q^{53} +(0.0812519 + 0.334925i) q^{54} +(0.513916 - 0.330274i) q^{55} +(3.53630 - 0.138833i) q^{56} +(-0.366610 + 0.802765i) q^{57} +(1.55669 - 0.148646i) q^{58} +(-8.53062 - 6.70856i) q^{59} +(0.0675915 + 1.41892i) q^{60} +(0.526128 + 2.16873i) q^{61} +(0.266672 + 1.85474i) q^{62} +(-2.61558 - 0.398411i) q^{63} +(-4.44919 - 2.85932i) q^{64} +(-3.63685 - 0.700946i) q^{65} +(-0.0657338 + 0.270959i) q^{66} +(-6.84210 - 0.653341i) q^{67} +(5.06799 + 8.77802i) q^{68} +(-4.51652 - 1.61277i) q^{69} +(0.648758 + 0.230629i) q^{70} +(-0.339251 - 0.742855i) q^{71} +(-0.968084 - 0.923066i) q^{72} +(1.62009 + 4.68094i) q^{73} +(-0.341503 + 0.176057i) q^{74} +(1.44885 - 4.18617i) q^{75} +(-0.236272 - 1.64331i) q^{76} +(-1.73311 - 1.25611i) q^{77} +(1.42209 - 0.913924i) q^{78} +(-13.5152 + 5.41069i) q^{79} +(-1.44606 - 2.03070i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-3.07411 + 1.23069i) q^{82} +(-1.99355 + 1.28118i) q^{83} +(4.54459 - 2.02970i) q^{84} +(0.579010 + 4.02710i) q^{85} +(1.11504 - 3.22170i) q^{86} +(4.03301 - 2.07916i) q^{87} +(-0.353938 - 1.02264i) q^{88} +(-1.70741 - 1.62801i) q^{89} +(-0.108108 - 0.236723i) q^{90} +(2.34935 + 12.7629i) q^{91} +(8.78808 - 2.04126i) q^{92} +(2.71852 + 4.70861i) q^{93} +(-4.11754 - 0.393177i) q^{94} +(0.157109 - 0.647612i) q^{95} +(3.74415 + 0.721626i) q^{96} +(-4.08863 - 2.62760i) q^{97} +(-0.0744824 - 2.41133i) q^{98} +(0.115135 + 0.800778i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.199911 0.280735i 0.141358 0.198510i −0.737827 0.674990i \(-0.764148\pi\)
0.879185 + 0.476480i \(0.158087\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) 0.615288 + 1.77776i 0.307644 + 0.888879i
\(5\) −0.0359296 + 0.754254i −0.0160682 + 0.337313i 0.976492 + 0.215555i \(0.0691561\pi\)
−0.992560 + 0.121758i \(0.961147\pi\)
\(6\) −0.225691 0.260461i −0.0921380 0.106333i
\(7\) 2.50738 0.844407i 0.947702 0.319156i
\(8\) 1.28344 + 0.376852i 0.453765 + 0.133237i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 0.204563 + 0.160870i 0.0646885 + 0.0508716i
\(11\) −0.469273 0.659002i −0.141491 0.198697i 0.737749 0.675075i \(-0.235889\pi\)
−0.879240 + 0.476378i \(0.841949\pi\)
\(12\) 1.87271 0.178822i 0.540603 0.0516214i
\(13\) −0.698049 + 4.85504i −0.193604 + 1.34655i 0.628767 + 0.777594i \(0.283560\pi\)
−0.822371 + 0.568952i \(0.807349\pi\)
\(14\) 0.264198 0.872717i 0.0706099 0.233243i
\(15\) 0.724522 + 0.212739i 0.187071 + 0.0549290i
\(16\) −2.59511 + 2.04082i −0.648778 + 0.510205i
\(17\) 5.29061 1.01968i 1.28316 0.247309i 0.498313 0.866997i \(-0.333953\pi\)
0.784848 + 0.619688i \(0.212741\pi\)
\(18\) −0.306328 + 0.157923i −0.0722022 + 0.0372228i
\(19\) −0.866568 0.167017i −0.198804 0.0383164i 0.0888769 0.996043i \(-0.471672\pi\)
−0.287681 + 0.957726i \(0.592884\pi\)
\(20\) −1.36299 + 0.400209i −0.304773 + 0.0894896i
\(21\) −0.229466 2.63578i −0.0500736 0.575175i
\(22\) −0.278818 −0.0594442
\(23\) 0.502495 4.76943i 0.104778 0.994496i
\(24\) 0.668812 1.15842i 0.136521 0.236461i
\(25\) 4.40975 + 0.421080i 0.881950 + 0.0842160i
\(26\) 1.22343 + 1.16654i 0.239935 + 0.228778i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 3.04391 + 3.93797i 0.575246 + 0.744206i
\(29\) 2.97137 + 3.42914i 0.551769 + 0.636775i 0.961294 0.275523i \(-0.0888511\pi\)
−0.409525 + 0.912299i \(0.634306\pi\)
\(30\) 0.204563 0.160870i 0.0373479 0.0293707i
\(31\) −3.93497 + 3.75198i −0.706741 + 0.673876i −0.955601 0.294664i \(-0.904792\pi\)
0.248860 + 0.968539i \(0.419944\pi\)
\(32\) 0.181433 + 3.80874i 0.0320731 + 0.673296i
\(33\) −0.751061 + 0.300680i −0.130743 + 0.0523416i
\(34\) 0.771389 1.68911i 0.132292 0.289679i
\(35\) 0.546808 + 1.92154i 0.0924275 + 0.324800i
\(36\) 0.267726 1.86208i 0.0446210 0.310346i
\(37\) −0.990899 0.510844i −0.162903 0.0839823i 0.374847 0.927087i \(-0.377695\pi\)
−0.537750 + 0.843104i \(0.680726\pi\)
\(38\) −0.220124 + 0.209888i −0.0357088 + 0.0340483i
\(39\) 4.55361 + 1.82299i 0.729161 + 0.291912i
\(40\) −0.330356 + 0.954501i −0.0522338 + 0.150920i
\(41\) −8.08277 5.19448i −1.26232 0.811241i −0.273717 0.961810i \(-0.588253\pi\)
−0.988599 + 0.150569i \(0.951889\pi\)
\(42\) −0.785830 0.462502i −0.121256 0.0713656i
\(43\) 9.49137 2.78692i 1.44742 0.425001i 0.538733 0.842477i \(-0.318903\pi\)
0.908688 + 0.417476i \(0.137085\pi\)
\(44\) 0.882808 1.23973i 0.133088 0.186896i
\(45\) 0.377555 0.653944i 0.0562825 0.0974842i
\(46\) −1.23849 1.09453i −0.182606 0.161379i
\(47\) −6.00086 10.3938i −0.875315 1.51609i −0.856426 0.516269i \(-0.827320\pi\)
−0.0188889 0.999822i \(-0.506013\pi\)
\(48\) 1.37147 + 3.00310i 0.197955 + 0.433461i
\(49\) 5.57395 4.23451i 0.796279 0.604929i
\(50\) 0.999768 1.15379i 0.141389 0.163171i
\(51\) 0.256370 5.38187i 0.0358990 0.753613i
\(52\) −9.06058 + 1.74628i −1.25648 + 0.242166i
\(53\) 6.69076 + 2.67858i 0.919047 + 0.367931i 0.782463 0.622697i \(-0.213963\pi\)
0.136584 + 0.990628i \(0.456387\pi\)
\(54\) 0.0812519 + 0.334925i 0.0110570 + 0.0455775i
\(55\) 0.513916 0.330274i 0.0692964 0.0445341i
\(56\) 3.53630 0.138833i 0.472557 0.0185523i
\(57\) −0.366610 + 0.802765i −0.0485587 + 0.106329i
\(58\) 1.55669 0.148646i 0.204403 0.0195181i
\(59\) −8.53062 6.70856i −1.11059 0.873380i −0.117778 0.993040i \(-0.537577\pi\)
−0.992815 + 0.119660i \(0.961819\pi\)
\(60\) 0.0675915 + 1.41892i 0.00872603 + 0.183182i
\(61\) 0.526128 + 2.16873i 0.0673637 + 0.277677i 0.995525 0.0945020i \(-0.0301259\pi\)
−0.928161 + 0.372179i \(0.878611\pi\)
\(62\) 0.266672 + 1.85474i 0.0338674 + 0.235553i
\(63\) −2.61558 0.398411i −0.329532 0.0501951i
\(64\) −4.44919 2.85932i −0.556149 0.357415i
\(65\) −3.63685 0.700946i −0.451096 0.0869416i
\(66\) −0.0657338 + 0.270959i −0.00809127 + 0.0333527i
\(67\) −6.84210 0.653341i −0.835895 0.0798183i −0.331675 0.943394i \(-0.607614\pi\)
−0.504220 + 0.863575i \(0.668220\pi\)
\(68\) 5.06799 + 8.77802i 0.614585 + 1.06449i
\(69\) −4.51652 1.61277i −0.543725 0.194154i
\(70\) 0.648758 + 0.230629i 0.0775414 + 0.0275654i
\(71\) −0.339251 0.742855i −0.0402616 0.0881607i 0.888432 0.459007i \(-0.151795\pi\)
−0.928694 + 0.370847i \(0.879068\pi\)
\(72\) −0.968084 0.923066i −0.114090 0.108784i
\(73\) 1.62009 + 4.68094i 0.189617 + 0.547862i 0.999236 0.0390941i \(-0.0124472\pi\)
−0.809619 + 0.586956i \(0.800326\pi\)
\(74\) −0.341503 + 0.176057i −0.0396990 + 0.0204662i
\(75\) 1.44885 4.18617i 0.167299 0.483378i
\(76\) −0.236272 1.64331i −0.0271023 0.188501i
\(77\) −1.73311 1.25611i −0.197507 0.143148i
\(78\) 1.42209 0.913924i 0.161020 0.103481i
\(79\) −13.5152 + 5.41069i −1.52058 + 0.608750i −0.973573 0.228375i \(-0.926659\pi\)
−0.547011 + 0.837125i \(0.684234\pi\)
\(80\) −1.44606 2.03070i −0.161674 0.227039i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −3.07411 + 1.23069i −0.339478 + 0.135907i
\(83\) −1.99355 + 1.28118i −0.218821 + 0.140628i −0.645459 0.763795i \(-0.723334\pi\)
0.426639 + 0.904422i \(0.359698\pi\)
\(84\) 4.54459 2.02970i 0.495856 0.221458i
\(85\) 0.579010 + 4.02710i 0.0628024 + 0.436800i
\(86\) 1.11504 3.22170i 0.120238 0.347405i
\(87\) 4.03301 2.07916i 0.432384 0.222909i
\(88\) −0.353938 1.02264i −0.0377299 0.109013i
\(89\) −1.70741 1.62801i −0.180985 0.172569i 0.594171 0.804339i \(-0.297480\pi\)
−0.775156 + 0.631770i \(0.782329\pi\)
\(90\) −0.108108 0.236723i −0.0113956 0.0249528i
\(91\) 2.34935 + 12.7629i 0.246279 + 1.33791i
\(92\) 8.78808 2.04126i 0.916220 0.212816i
\(93\) 2.71852 + 4.70861i 0.281897 + 0.488260i
\(94\) −4.11754 0.393177i −0.424692 0.0405532i
\(95\) 0.157109 0.647612i 0.0161190 0.0664435i
\(96\) 3.74415 + 0.721626i 0.382136 + 0.0736507i
\(97\) −4.08863 2.62760i −0.415137 0.266792i 0.316357 0.948640i \(-0.397540\pi\)
−0.731494 + 0.681848i \(0.761177\pi\)
\(98\) −0.0744824 2.41133i −0.00752386 0.243581i
\(99\) 0.115135 + 0.800778i 0.0115715 + 0.0804812i
\(100\) 1.96469 + 8.09855i 0.196469 + 0.809855i
\(101\) 0.0176287 + 0.370071i 0.00175412 + 0.0368234i 0.999575 0.0291621i \(-0.00928390\pi\)
−0.997821 + 0.0659856i \(0.978981\pi\)
\(102\) −1.45963 1.14787i −0.144525 0.113656i
\(103\) −18.2118 + 1.73901i −1.79446 + 0.171350i −0.938406 0.345536i \(-0.887697\pi\)
−0.856054 + 0.516886i \(0.827091\pi\)
\(104\) −2.72554 + 5.96809i −0.267261 + 0.585220i
\(105\) 1.99629 0.0783734i 0.194818 0.00764846i
\(106\) 2.08953 1.34286i 0.202953 0.130430i
\(107\) 2.26724 + 9.34569i 0.219182 + 0.903482i 0.970026 + 0.243002i \(0.0781321\pi\)
−0.750843 + 0.660480i \(0.770353\pi\)
\(108\) −1.74647 0.699180i −0.168054 0.0672786i
\(109\) −9.76428 + 1.88191i −0.935248 + 0.180254i −0.634037 0.773303i \(-0.718603\pi\)
−0.301212 + 0.953557i \(0.597391\pi\)
\(110\) 0.0100178 0.210300i 0.000955160 0.0200513i
\(111\) −0.730058 + 0.842532i −0.0692940 + 0.0799696i
\(112\) −4.78367 + 7.30845i −0.452014 + 0.690584i
\(113\) −5.14781 11.2721i −0.484265 1.06039i −0.981269 0.192644i \(-0.938294\pi\)
0.497004 0.867748i \(-0.334434\pi\)
\(114\) 0.152075 + 0.263402i 0.0142431 + 0.0246698i
\(115\) 3.57931 + 0.550373i 0.333772 + 0.0513225i
\(116\) −4.26793 + 7.39228i −0.396268 + 0.686356i
\(117\) 2.84516 3.99547i 0.263035 0.369381i
\(118\) −3.58869 + 1.05373i −0.330366 + 0.0970042i
\(119\) 12.4046 7.02416i 1.13712 0.643904i
\(120\) 0.849710 + 0.546076i 0.0775676 + 0.0498497i
\(121\) 3.38368 9.77650i 0.307607 0.888773i
\(122\) 0.714017 + 0.285849i 0.0646440 + 0.0258796i
\(123\) −6.95364 + 6.63028i −0.626989 + 0.597832i
\(124\) −9.09125 4.68687i −0.816418 0.420893i
\(125\) −1.01336 + 7.04806i −0.0906375 + 0.630398i
\(126\) −0.634731 + 0.654639i −0.0565463 + 0.0583199i
\(127\) 5.80625 12.7139i 0.515221 1.12818i −0.455996 0.889982i \(-0.650717\pi\)
0.971217 0.238195i \(-0.0765558\pi\)
\(128\) −8.77200 + 3.51178i −0.775342 + 0.310400i
\(129\) −0.470684 9.88087i −0.0414414 0.869962i
\(130\) −0.923826 + 0.880866i −0.0810249 + 0.0772571i
\(131\) 0.913690 0.718534i 0.0798295 0.0627786i −0.577447 0.816428i \(-0.695951\pi\)
0.657276 + 0.753650i \(0.271708\pi\)
\(132\) −0.996655 1.15020i −0.0867476 0.100112i
\(133\) −2.31385 + 0.312959i −0.200636 + 0.0271370i
\(134\) −1.55122 + 1.79021i −0.134005 + 0.154650i
\(135\) −0.546498 0.521085i −0.0470351 0.0448479i
\(136\) 7.17445 + 0.685077i 0.615204 + 0.0587449i
\(137\) −4.95567 + 8.58347i −0.423391 + 0.733335i −0.996269 0.0863058i \(-0.972494\pi\)
0.572877 + 0.819641i \(0.305827\pi\)
\(138\) −1.35566 + 0.945538i −0.115402 + 0.0804895i
\(139\) 9.75278 0.827220 0.413610 0.910454i \(-0.364268\pi\)
0.413610 + 0.910454i \(0.364268\pi\)
\(140\) −3.07960 + 2.15440i −0.260273 + 0.182080i
\(141\) −11.5156 + 3.38128i −0.969786 + 0.284755i
\(142\) −0.276365 0.0532651i −0.0231921 0.00446991i
\(143\) 3.52706 1.81832i 0.294947 0.152056i
\(144\) 3.24179 0.624803i 0.270149 0.0520669i
\(145\) −2.69320 + 2.11796i −0.223658 + 0.175887i
\(146\) 1.63798 + 0.480954i 0.135560 + 0.0398040i
\(147\) −2.80103 6.41516i −0.231025 0.529113i
\(148\) 0.298469 2.07590i 0.0245340 0.170638i
\(149\) 4.95443 0.473090i 0.405882 0.0387571i 0.109881 0.993945i \(-0.464953\pi\)
0.296001 + 0.955188i \(0.404347\pi\)
\(150\) −0.885566 1.24360i −0.0723062 0.101540i
\(151\) −1.01465 0.797927i −0.0825708 0.0649344i 0.576020 0.817435i \(-0.304605\pi\)
−0.658591 + 0.752501i \(0.728847\pi\)
\(152\) −1.04925 0.540925i −0.0851052 0.0438748i
\(153\) −5.16973 1.51797i −0.417948 0.122720i
\(154\) −0.699104 + 0.235436i −0.0563354 + 0.0189720i
\(155\) −2.68857 3.10277i −0.215951 0.249221i
\(156\) −0.439054 + 9.21688i −0.0351525 + 0.737941i
\(157\) 3.21248 + 9.28186i 0.256384 + 0.740773i 0.997583 + 0.0694877i \(0.0221365\pi\)
−0.741199 + 0.671286i \(0.765742\pi\)
\(158\) −1.18287 + 4.87586i −0.0941042 + 0.387903i
\(159\) 4.18048 5.87066i 0.331534 0.465574i
\(160\) −2.87928 −0.227627
\(161\) −2.76739 12.3831i −0.218101 0.975926i
\(162\) 0.344640 0.0270775
\(163\) 4.40573 6.18699i 0.345084 0.484602i −0.605163 0.796102i \(-0.706892\pi\)
0.950246 + 0.311500i \(0.100831\pi\)
\(164\) 4.26130 17.5653i 0.332751 1.37162i
\(165\) −0.199804 0.577295i −0.0155547 0.0449423i
\(166\) −0.0388604 + 0.815781i −0.00301616 + 0.0633169i
\(167\) −12.5858 14.5248i −0.973921 1.12397i −0.992266 0.124133i \(-0.960385\pi\)
0.0183441 0.999832i \(-0.494161\pi\)
\(168\) 0.698794 3.46934i 0.0539131 0.267666i
\(169\) −10.6107 3.11559i −0.816209 0.239660i
\(170\) 1.24630 + 0.642512i 0.0955868 + 0.0492784i
\(171\) 0.693704 + 0.545535i 0.0530489 + 0.0417181i
\(172\) 10.7944 + 15.1586i 0.823065 + 1.15583i
\(173\) −21.7926 + 2.08094i −1.65686 + 0.158211i −0.881136 0.472863i \(-0.843220\pi\)
−0.775722 + 0.631074i \(0.782614\pi\)
\(174\) 0.222548 1.54785i 0.0168713 0.117342i
\(175\) 11.4125 2.66781i 0.862704 0.201668i
\(176\) 2.56272 + 0.752483i 0.193173 + 0.0567206i
\(177\) −8.53062 + 6.70856i −0.641201 + 0.504246i
\(178\) −0.798371 + 0.153873i −0.0598404 + 0.0115333i
\(179\) 19.1102 9.85200i 1.42836 0.736373i 0.441400 0.897310i \(-0.354482\pi\)
0.986965 + 0.160937i \(0.0514516\pi\)
\(180\) 1.39486 + 0.268837i 0.103967 + 0.0200379i
\(181\) 18.2581 5.36105i 1.35711 0.398484i 0.479368 0.877614i \(-0.340866\pi\)
0.877744 + 0.479130i \(0.159048\pi\)
\(182\) 4.05265 + 1.89189i 0.300403 + 0.140236i
\(183\) 2.23163 0.164967
\(184\) 2.44229 5.93192i 0.180048 0.437307i
\(185\) 0.420909 0.729036i 0.0309458 0.0535998i
\(186\) 1.86533 + 0.178118i 0.136773 + 0.0130602i
\(187\) −3.15471 3.00801i −0.230696 0.219968i
\(188\) 14.7854 17.0633i 1.07834 1.24447i
\(189\) −1.00383 + 2.44792i −0.0730177 + 0.178060i
\(190\) −0.150400 0.173570i −0.0109111 0.0125921i
\(191\) 1.58053 1.24294i 0.114363 0.0899363i −0.559340 0.828939i \(-0.688945\pi\)
0.673703 + 0.739002i \(0.264703\pi\)
\(192\) −3.82766 + 3.64967i −0.276238 + 0.263392i
\(193\) 0.413618 + 8.68291i 0.0297729 + 0.625010i 0.963610 + 0.267312i \(0.0861353\pi\)
−0.933837 + 0.357698i \(0.883562\pi\)
\(194\) −1.55502 + 0.622536i −0.111644 + 0.0446955i
\(195\) −1.53861 + 3.36908i −0.110182 + 0.241265i
\(196\) 10.9575 + 7.30370i 0.782679 + 0.521693i
\(197\) −1.04894 + 7.29551i −0.0747336 + 0.519784i 0.917726 + 0.397214i \(0.130023\pi\)
−0.992460 + 0.122570i \(0.960886\pi\)
\(198\) 0.247823 + 0.127762i 0.0176120 + 0.00907963i
\(199\) 10.3369 9.85624i 0.732766 0.698691i −0.228736 0.973488i \(-0.573459\pi\)
0.961502 + 0.274798i \(0.0886109\pi\)
\(200\) 5.50097 + 2.20226i 0.388977 + 0.155723i
\(201\) −2.24801 + 6.49520i −0.158562 + 0.458136i
\(202\) 0.107416 + 0.0690322i 0.00755777 + 0.00485709i
\(203\) 10.3460 + 6.08913i 0.726143 + 0.427373i
\(204\) 9.72541 2.85564i 0.680915 0.199935i
\(205\) 4.20837 5.90983i 0.293925 0.412760i
\(206\) −3.15253 + 5.46034i −0.219647 + 0.380440i
\(207\) −2.63212 + 4.00899i −0.182945 + 0.278644i
\(208\) −8.09674 14.0240i −0.561408 0.972387i
\(209\) 0.296592 + 0.649447i 0.0205157 + 0.0449232i
\(210\) 0.377078 0.576098i 0.0260209 0.0397545i
\(211\) 15.7791 18.2101i 1.08628 1.25363i 0.120934 0.992661i \(-0.461411\pi\)
0.965346 0.260973i \(-0.0840435\pi\)
\(212\) −0.645116 + 13.5427i −0.0443068 + 0.930113i
\(213\) −0.801897 + 0.154553i −0.0549451 + 0.0105898i
\(214\) 3.07691 + 1.23181i 0.210333 + 0.0842047i
\(215\) 1.76102 + 7.25904i 0.120101 + 0.495062i
\(216\) −1.12528 + 0.723174i −0.0765657 + 0.0492058i
\(217\) −6.69827 + 12.7304i −0.454708 + 0.864194i
\(218\) −1.42367 + 3.11739i −0.0964228 + 0.211136i
\(219\) 4.93094 0.470848i 0.333202 0.0318169i
\(220\) 0.903353 + 0.710405i 0.0609041 + 0.0478955i
\(221\) 1.25749 + 26.3979i 0.0845877 + 1.77571i
\(222\) 0.0905820 + 0.373384i 0.00607946 + 0.0250599i
\(223\) 3.26093 + 22.6803i 0.218368 + 1.51878i 0.744062 + 0.668110i \(0.232896\pi\)
−0.525694 + 0.850674i \(0.676194\pi\)
\(224\) 3.67105 + 9.39677i 0.245282 + 0.627848i
\(225\) −3.72659 2.39494i −0.248440 0.159662i
\(226\) −4.19359 0.808247i −0.278953 0.0537638i
\(227\) 3.79048 15.6246i 0.251583 1.03704i −0.696130 0.717916i \(-0.745096\pi\)
0.947713 0.319124i \(-0.103388\pi\)
\(228\) −1.65269 0.157813i −0.109452 0.0104514i
\(229\) −10.0200 17.3552i −0.662141 1.14686i −0.980052 0.198742i \(-0.936315\pi\)
0.317911 0.948121i \(-0.397019\pi\)
\(230\) 0.870052 0.894813i 0.0573695 0.0590023i
\(231\) −1.62930 + 1.38812i −0.107200 + 0.0913317i
\(232\) 2.52129 + 5.52087i 0.165531 + 0.362463i
\(233\) 1.77579 + 1.69321i 0.116336 + 0.110926i 0.746015 0.665930i \(-0.231965\pi\)
−0.629679 + 0.776856i \(0.716813\pi\)
\(234\) −0.552891 1.59747i −0.0361436 0.104430i
\(235\) 8.05517 4.15273i 0.525461 0.270894i
\(236\) 6.67740 19.2931i 0.434662 1.25587i
\(237\) 2.07183 + 14.4099i 0.134580 + 0.936023i
\(238\) 0.507875 4.88660i 0.0329207 0.316751i
\(239\) −20.1251 + 12.9336i −1.30178 + 0.836605i −0.993405 0.114659i \(-0.963422\pi\)
−0.308378 + 0.951264i \(0.599786\pi\)
\(240\) −2.31438 + 0.926538i −0.149393 + 0.0598078i
\(241\) 3.01664 + 4.23628i 0.194319 + 0.272883i 0.900227 0.435421i \(-0.143400\pi\)
−0.705908 + 0.708303i \(0.749461\pi\)
\(242\) −2.06818 2.90435i −0.132947 0.186698i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) −3.53175 + 2.26972i −0.226097 + 0.145304i
\(245\) 2.99362 + 4.35632i 0.191256 + 0.278315i
\(246\) 0.471247 + 3.27760i 0.0300456 + 0.208972i
\(247\) 1.41578 4.09063i 0.0900840 0.260281i
\(248\) −6.46424 + 3.33255i −0.410479 + 0.211617i
\(249\) 0.775066 + 2.23941i 0.0491178 + 0.141917i
\(250\) 1.77606 + 1.69347i 0.112328 + 0.107104i
\(251\) 9.46022 + 20.7150i 0.597124 + 1.30752i 0.931040 + 0.364917i \(0.118902\pi\)
−0.333916 + 0.942603i \(0.608370\pi\)
\(252\) −0.901057 4.89501i −0.0567613 0.308357i
\(253\) −3.37888 + 1.90702i −0.212428 + 0.119893i
\(254\) −2.40851 4.17167i −0.151123 0.261754i
\(255\) 4.05009 + 0.386737i 0.253626 + 0.0242184i
\(256\) 1.72601 7.11472i 0.107876 0.444670i
\(257\) −2.66270 0.513194i −0.166095 0.0320122i 0.105526 0.994417i \(-0.466347\pi\)
−0.271621 + 0.962404i \(0.587560\pi\)
\(258\) −2.86800 1.84315i −0.178554 0.114750i
\(259\) −2.91593 0.444160i −0.181187 0.0275988i
\(260\) −0.991599 6.89673i −0.0614964 0.427717i
\(261\) −1.06973 4.40950i −0.0662148 0.272941i
\(262\) −0.0190614 0.400148i −0.00117762 0.0247212i
\(263\) 8.06581 + 6.34302i 0.497359 + 0.391127i 0.835088 0.550116i \(-0.185416\pi\)
−0.337729 + 0.941243i \(0.609659\pi\)
\(264\) −1.07725 + 0.102865i −0.0663004 + 0.00633092i
\(265\) −2.26073 + 4.95030i −0.138875 + 0.304094i
\(266\) −0.374704 + 0.712143i −0.0229746 + 0.0436643i
\(267\) −1.98466 + 1.27546i −0.121459 + 0.0780571i
\(268\) −3.04838 12.5656i −0.186209 0.767565i
\(269\) −14.1555 5.66700i −0.863075 0.345523i −0.102469 0.994736i \(-0.532674\pi\)
−0.760607 + 0.649213i \(0.775098\pi\)
\(270\) −0.255538 + 0.0492509i −0.0155515 + 0.00299731i
\(271\) 0.404023 8.48148i 0.0245426 0.515213i −0.952806 0.303579i \(-0.901818\pi\)
0.977349 0.211634i \(-0.0678786\pi\)
\(272\) −11.6487 + 13.4434i −0.706309 + 0.815124i
\(273\) 12.9570 + 0.725838i 0.784193 + 0.0439297i
\(274\) 1.41899 + 3.10716i 0.0857244 + 0.187710i
\(275\) −1.79189 3.10364i −0.108055 0.187156i
\(276\) 0.0881478 9.02160i 0.00530588 0.543037i
\(277\) 3.12222 5.40784i 0.187596 0.324925i −0.756852 0.653586i \(-0.773264\pi\)
0.944448 + 0.328660i \(0.106597\pi\)
\(278\) 1.94968 2.73795i 0.116934 0.164211i
\(279\) 5.21679 1.53179i 0.312321 0.0917058i
\(280\) −0.0223421 + 2.67225i −0.00133520 + 0.159698i
\(281\) 27.0263 + 17.3688i 1.61226 + 1.03613i 0.960722 + 0.277514i \(0.0895104\pi\)
0.651533 + 0.758620i \(0.274126\pi\)
\(282\) −1.35284 + 3.90878i −0.0805605 + 0.232764i
\(283\) 9.54796 + 3.82243i 0.567567 + 0.227220i 0.637656 0.770321i \(-0.279904\pi\)
−0.0700889 + 0.997541i \(0.522328\pi\)
\(284\) 1.11188 1.06018i 0.0659779 0.0629098i
\(285\) −0.592317 0.305360i −0.0350858 0.0180880i
\(286\) 0.194629 1.35367i 0.0115086 0.0800443i
\(287\) −24.6529 6.19941i −1.45521 0.365940i
\(288\) 1.58400 3.46848i 0.0933382 0.204382i
\(289\) 11.1685 4.47121i 0.656973 0.263012i
\(290\) 0.0561856 + 1.17948i 0.00329933 + 0.0692614i
\(291\) −3.51746 + 3.35389i −0.206197 + 0.196609i
\(292\) −7.32475 + 5.76025i −0.428649 + 0.337093i
\(293\) 0.102531 + 0.118327i 0.00598991 + 0.00691272i 0.758737 0.651398i \(-0.225817\pi\)
−0.752747 + 0.658310i \(0.771272\pi\)
\(294\) −2.36092 0.496109i −0.137691 0.0289337i
\(295\) 5.36646 6.19322i 0.312447 0.360583i
\(296\) −1.07925 1.02906i −0.0627300 0.0598130i
\(297\) 0.805349 + 0.0769015i 0.0467311 + 0.00446228i
\(298\) 0.857630 1.48546i 0.0496811 0.0860503i
\(299\) 22.8050 + 5.76893i 1.31885 + 0.333626i
\(300\) 8.33346 0.481133
\(301\) 21.4452 15.0025i 1.23608 0.864727i
\(302\) −0.426845 + 0.125333i −0.0245622 + 0.00721210i
\(303\) 0.363795 + 0.0701158i 0.0208995 + 0.00402805i
\(304\) 2.58969 1.33508i 0.148529 0.0765721i
\(305\) −1.65468 + 0.318913i −0.0947464 + 0.0182609i
\(306\) −1.45963 + 1.14787i −0.0834415 + 0.0656191i
\(307\) 5.44397 + 1.59849i 0.310704 + 0.0912308i 0.433367 0.901217i \(-0.357325\pi\)
−0.122663 + 0.992448i \(0.539144\pi\)
\(308\) 1.16670 3.85393i 0.0664790 0.219598i
\(309\) −2.60360 + 18.1084i −0.148113 + 1.03015i
\(310\) −1.40853 + 0.134498i −0.0799992 + 0.00763899i
\(311\) 19.6097 + 27.5379i 1.11196 + 1.56153i 0.788225 + 0.615387i \(0.211000\pi\)
0.323738 + 0.946147i \(0.395060\pi\)
\(312\) 5.15729 + 4.05574i 0.291974 + 0.229611i
\(313\) −15.8019 8.14645i −0.893176 0.460464i −0.0504004 0.998729i \(-0.516050\pi\)
−0.842776 + 0.538265i \(0.819080\pi\)
\(314\) 3.24796 + 0.953686i 0.183293 + 0.0538196i
\(315\) 0.394480 1.95850i 0.0222264 0.110349i
\(316\) −17.9347 20.6977i −1.00890 1.16434i
\(317\) 0.795345 16.6964i 0.0446711 0.937761i −0.859644 0.510894i \(-0.829314\pi\)
0.904315 0.426867i \(-0.140383\pi\)
\(318\) −0.812380 2.34722i −0.0455560 0.131625i
\(319\) 0.865428 3.56734i 0.0484547 0.199733i
\(320\) 2.31651 3.25309i 0.129497 0.181853i
\(321\) 9.61677 0.536756
\(322\) −4.02961 1.69861i −0.224561 0.0946599i
\(323\) −4.75498 −0.264574
\(324\) −1.09122 + 1.53240i −0.0606231 + 0.0851333i
\(325\) −5.12258 + 21.1156i −0.284150 + 1.17128i
\(326\) −0.856152 2.47369i −0.0474179 0.137005i
\(327\) −0.473154 + 9.93272i −0.0261655 + 0.549281i
\(328\) −8.41620 9.71282i −0.464707 0.536301i
\(329\) −23.8231 20.9941i −1.31341 1.15744i
\(330\) −0.202010 0.0593154i −0.0111203 0.00326521i
\(331\) 26.6013 + 13.7139i 1.46214 + 0.753785i 0.991691 0.128643i \(-0.0410621\pi\)
0.470448 + 0.882428i \(0.344092\pi\)
\(332\) −3.50423 2.75576i −0.192320 0.151242i
\(333\) 0.646664 + 0.908113i 0.0354370 + 0.0497643i
\(334\) −6.59368 + 0.629620i −0.360790 + 0.0344513i
\(335\) 0.738619 5.13721i 0.0403550 0.280676i
\(336\) 5.97465 + 6.37185i 0.325944 + 0.347613i
\(337\) 18.1983 + 5.34351i 0.991326 + 0.291080i 0.736892 0.676011i \(-0.236293\pi\)
0.254434 + 0.967090i \(0.418111\pi\)
\(338\) −2.99585 + 2.35596i −0.162953 + 0.128147i
\(339\) −12.1680 + 2.34519i −0.660876 + 0.127373i
\(340\) −6.80295 + 3.50717i −0.368942 + 0.190203i
\(341\) 4.31914 + 0.832446i 0.233894 + 0.0450795i
\(342\) 0.291830 0.0856890i 0.0157804 0.00463353i
\(343\) 10.4004 15.3242i 0.561569 0.827430i
\(344\) 13.2319 0.713415
\(345\) 1.37871 3.34866i 0.0742274 0.180286i
\(346\) −3.77237 + 6.53394i −0.202804 + 0.351267i
\(347\) −24.6973 2.35831i −1.32582 0.126601i −0.591997 0.805940i \(-0.701660\pi\)
−0.733824 + 0.679339i \(0.762267\pi\)
\(348\) 6.17770 + 5.89042i 0.331159 + 0.315760i
\(349\) 4.58705 5.29374i 0.245539 0.283367i −0.619580 0.784933i \(-0.712697\pi\)
0.865119 + 0.501566i \(0.167243\pi\)
\(350\) 1.53253 3.73722i 0.0819173 0.199763i
\(351\) −3.21207 3.70692i −0.171448 0.197861i
\(352\) 2.42483 1.90690i 0.129244 0.101638i
\(353\) 8.28914 7.90368i 0.441187 0.420671i −0.436649 0.899632i \(-0.643835\pi\)
0.877836 + 0.478961i \(0.158987\pi\)
\(354\) 0.177966 + 3.73596i 0.00945877 + 0.198564i
\(355\) 0.572491 0.229191i 0.0303847 0.0121642i
\(356\) 1.84366 4.03706i 0.0977140 0.213964i
\(357\) −3.90167 13.7109i −0.206498 0.725658i
\(358\) 1.05453 7.33443i 0.0557338 0.387637i
\(359\) 2.68197 + 1.38265i 0.141549 + 0.0729735i 0.527546 0.849526i \(-0.323112\pi\)
−0.385997 + 0.922500i \(0.626143\pi\)
\(360\) 0.731009 0.697016i 0.0385276 0.0367360i
\(361\) −16.9159 6.77212i −0.890313 0.356428i
\(362\) 2.14495 6.19741i 0.112736 0.325729i
\(363\) −8.70319 5.59320i −0.456799 0.293567i
\(364\) −21.2438 + 12.0294i −1.11348 + 0.630513i
\(365\) −3.58883 + 1.05377i −0.187848 + 0.0551571i
\(366\) 0.446127 0.626498i 0.0233195 0.0327476i
\(367\) 6.01110 10.4115i 0.313777 0.543478i −0.665400 0.746487i \(-0.731739\pi\)
0.979177 + 0.203009i \(0.0650722\pi\)
\(368\) 8.42952 + 13.4027i 0.439419 + 0.698665i
\(369\) 4.80400 + 8.32078i 0.250086 + 0.433162i
\(370\) −0.120522 0.263906i −0.00626563 0.0137198i
\(371\) 19.0381 + 1.06650i 0.988410 + 0.0553697i
\(372\) −6.69809 + 7.73001i −0.347280 + 0.400782i
\(373\) −1.38857 + 29.1496i −0.0718972 + 1.50931i 0.618447 + 0.785827i \(0.287762\pi\)
−0.690344 + 0.723481i \(0.742541\pi\)
\(374\) −1.47512 + 0.284305i −0.0762765 + 0.0147011i
\(375\) 6.61048 + 2.64644i 0.341364 + 0.136661i
\(376\) −3.78482 15.6013i −0.195187 0.804573i
\(377\) −18.7228 + 12.0324i −0.964272 + 0.619700i
\(378\) 0.486543 + 0.771176i 0.0250251 + 0.0396650i
\(379\) 14.4151 31.5647i 0.740455 1.62137i −0.0423497 0.999103i \(-0.513484\pi\)
0.782805 0.622267i \(-0.213788\pi\)
\(380\) 1.24796 0.119166i 0.0640192 0.00611309i
\(381\) −10.9867 8.64000i −0.562863 0.442640i
\(382\) −0.0329730 0.692189i −0.00168705 0.0354155i
\(383\) 8.56336 + 35.2986i 0.437567 + 1.80368i 0.580868 + 0.813998i \(0.302713\pi\)
−0.143301 + 0.989679i \(0.545772\pi\)
\(384\) 1.34471 + 9.35266i 0.0686219 + 0.477276i
\(385\) 1.00970 1.26208i 0.0514591 0.0643214i
\(386\) 2.52029 + 1.61969i 0.128279 + 0.0824400i
\(387\) −9.71331 1.87209i −0.493755 0.0951635i
\(388\) 2.15555 8.88532i 0.109432 0.451084i
\(389\) −10.9574 1.04630i −0.555562 0.0530497i −0.186501 0.982455i \(-0.559715\pi\)
−0.369061 + 0.929405i \(0.620321\pi\)
\(390\) 0.638236 + 1.10546i 0.0323183 + 0.0559770i
\(391\) −2.20480 25.7456i −0.111501 1.30201i
\(392\) 8.74962 3.33418i 0.441923 0.168402i
\(393\) −0.482869 1.05734i −0.0243575 0.0533355i
\(394\) 1.83841 + 1.75292i 0.0926180 + 0.0883111i
\(395\) −3.59544 10.3883i −0.180906 0.522694i
\(396\) −1.35275 + 0.697390i −0.0679782 + 0.0350452i
\(397\) −3.96594 + 11.4588i −0.199045 + 0.575102i −0.999712 0.0240078i \(-0.992357\pi\)
0.800667 + 0.599109i \(0.204479\pi\)
\(398\) −0.700532 4.87231i −0.0351145 0.244227i
\(399\) −0.241373 + 2.32241i −0.0120838 + 0.116266i
\(400\) −12.3032 + 7.90676i −0.615158 + 0.395338i
\(401\) −11.3637 + 4.54935i −0.567477 + 0.227183i −0.637617 0.770354i \(-0.720080\pi\)
0.0701399 + 0.997537i \(0.477655\pi\)
\(402\) 1.37403 + 1.92955i 0.0685304 + 0.0962374i
\(403\) −15.4692 21.7235i −0.770576 1.08212i
\(404\) −0.647050 + 0.259040i −0.0321919 + 0.0128877i
\(405\) −0.635239 + 0.408243i −0.0315653 + 0.0202858i
\(406\) 3.77770 1.68719i 0.187484 0.0837339i
\(407\) 0.128355 + 0.892731i 0.00636234 + 0.0442510i
\(408\) 2.35721 6.81070i 0.116699 0.337180i
\(409\) −3.92245 + 2.02217i −0.193953 + 0.0999896i −0.552467 0.833534i \(-0.686314\pi\)
0.358515 + 0.933524i \(0.383283\pi\)
\(410\) −0.817799 2.36287i −0.0403882 0.116694i
\(411\) 7.17317 + 6.83961i 0.353826 + 0.337373i
\(412\) −14.2970 31.3061i −0.704364 1.54234i
\(413\) −27.0543 9.61761i −1.33126 0.473252i
\(414\) 0.599275 + 1.54037i 0.0294528 + 0.0757049i
\(415\) −0.894706 1.54968i −0.0439194 0.0760706i
\(416\) −18.6182 1.77782i −0.912834 0.0871650i
\(417\) 2.29930 9.47786i 0.112597 0.464133i
\(418\) 0.241615 + 0.0465674i 0.0118178 + 0.00227769i
\(419\) −1.86834 1.20071i −0.0912743 0.0586584i 0.494208 0.869344i \(-0.335458\pi\)
−0.585482 + 0.810686i \(0.699095\pi\)
\(420\) 1.36762 + 3.50071i 0.0667332 + 0.170817i
\(421\) 3.04221 + 21.1591i 0.148268 + 1.03123i 0.919053 + 0.394134i \(0.128955\pi\)
−0.770785 + 0.637096i \(0.780136\pi\)
\(422\) −1.95780 8.07015i −0.0953041 0.392849i
\(423\) 0.571065 + 11.9881i 0.0277661 + 0.582883i
\(424\) 7.57777 + 5.95923i 0.368009 + 0.289406i
\(425\) 23.7596 2.26877i 1.15251 0.110052i
\(426\) −0.116919 + 0.256017i −0.00566476 + 0.0124041i
\(427\) 3.15049 + 4.99357i 0.152463 + 0.241656i
\(428\) −15.2194 + 9.78089i −0.735656 + 0.472777i
\(429\) −0.935533 3.85632i −0.0451680 0.186185i
\(430\) 2.38992 + 0.956778i 0.115252 + 0.0461399i
\(431\) −16.3146 + 3.14439i −0.785848 + 0.151460i −0.566363 0.824156i \(-0.691650\pi\)
−0.219485 + 0.975616i \(0.570438\pi\)
\(432\) 0.157089 3.29771i 0.00755796 0.158661i
\(433\) −17.3531 + 20.0265i −0.833935 + 0.962412i −0.999718 0.0237504i \(-0.992439\pi\)
0.165783 + 0.986162i \(0.446985\pi\)
\(434\) 2.23481 + 4.42538i 0.107274 + 0.212425i
\(435\) 1.42331 + 3.11661i 0.0682425 + 0.149430i
\(436\) −9.35342 16.2006i −0.447948 0.775868i
\(437\) −1.23202 + 4.04911i −0.0589357 + 0.193695i
\(438\) 0.853564 1.47842i 0.0407849 0.0706415i
\(439\) −6.53706 + 9.18002i −0.311997 + 0.438138i −0.940564 0.339617i \(-0.889702\pi\)
0.628567 + 0.777756i \(0.283642\pi\)
\(440\) 0.784045 0.230216i 0.0373779 0.0109751i
\(441\) −6.89469 + 1.20965i −0.328319 + 0.0576022i
\(442\) 7.66221 + 4.92420i 0.364454 + 0.234220i
\(443\) 0.519913 1.50219i 0.0247018 0.0713713i −0.931976 0.362520i \(-0.881916\pi\)
0.956678 + 0.291149i \(0.0940376\pi\)
\(444\) −1.94701 0.779466i −0.0924011 0.0369918i
\(445\) 1.28928 1.22933i 0.0611179 0.0582758i
\(446\) 7.01905 + 3.61857i 0.332362 + 0.171344i
\(447\) 0.708296 4.92630i 0.0335012 0.233006i
\(448\) −13.5703 3.41249i −0.641135 0.161225i
\(449\) −14.0521 + 30.7699i −0.663161 + 1.45212i 0.216385 + 0.976308i \(0.430573\pi\)
−0.879547 + 0.475813i \(0.842154\pi\)
\(450\) −1.41733 + 0.567413i −0.0668135 + 0.0267481i
\(451\) 0.369854 + 7.76419i 0.0174157 + 0.365602i
\(452\) 16.8717 16.0872i 0.793579 0.756676i
\(453\) −1.01465 + 0.797927i −0.0476722 + 0.0374899i
\(454\) −3.62861 4.18764i −0.170299 0.196536i
\(455\) −9.71087 + 1.31344i −0.455253 + 0.0615752i
\(456\) −0.773046 + 0.892143i −0.0362012 + 0.0417784i
\(457\) 9.13891 + 8.71393i 0.427500 + 0.407620i 0.873045 0.487639i \(-0.162142\pi\)
−0.445545 + 0.895259i \(0.646990\pi\)
\(458\) −6.87532 0.656513i −0.321263 0.0306769i
\(459\) −2.69399 + 4.66612i −0.125745 + 0.217796i
\(460\) 1.22388 + 6.70179i 0.0570636 + 0.312472i
\(461\) −5.19404 −0.241910 −0.120955 0.992658i \(-0.538596\pi\)
−0.120955 + 0.992658i \(0.538596\pi\)
\(462\) 0.0639793 + 0.734903i 0.00297659 + 0.0341908i
\(463\) 7.62126 2.23780i 0.354190 0.104000i −0.0997971 0.995008i \(-0.531819\pi\)
0.453987 + 0.891008i \(0.350001\pi\)
\(464\) −14.7093 2.83498i −0.682862 0.131611i
\(465\) −3.64916 + 1.88127i −0.169226 + 0.0872420i
\(466\) 0.830344 0.160036i 0.0384649 0.00741351i
\(467\) −18.1074 + 14.2398i −0.837909 + 0.658939i −0.941994 0.335630i \(-0.891051\pi\)
0.104085 + 0.994568i \(0.466808\pi\)
\(468\) 8.85356 + 2.59964i 0.409256 + 0.120168i
\(469\) −17.7074 + 4.13934i −0.817654 + 0.191137i
\(470\) 0.444497 3.09155i 0.0205031 0.142602i
\(471\) 9.77760 0.933647i 0.450528 0.0430202i
\(472\) −8.42042 11.8248i −0.387581 0.544281i
\(473\) −6.29063 4.94701i −0.289244 0.227464i
\(474\) 4.45955 + 2.29906i 0.204834 + 0.105599i
\(475\) −3.75102 1.10140i −0.172109 0.0505356i
\(476\) 20.1196 + 17.7304i 0.922182 + 0.812673i
\(477\) −4.71959 5.44670i −0.216095 0.249387i
\(478\) −0.392300 + 8.23538i −0.0179434 + 0.376678i
\(479\) 6.69689 + 19.3494i 0.305989 + 0.884096i 0.988231 + 0.152970i \(0.0488837\pi\)
−0.682242 + 0.731126i \(0.738995\pi\)
\(480\) −0.678815 + 2.79811i −0.0309835 + 0.127716i
\(481\) 3.17186 4.45426i 0.144625 0.203097i
\(482\) 1.79233 0.0816385
\(483\) −12.6865 0.230044i −0.577255 0.0104674i
\(484\) 19.4622 0.884645
\(485\) 2.12878 2.98945i 0.0966630 0.135744i
\(486\) 0.0812519 0.334925i 0.00368566 0.0151925i
\(487\) −6.31872 18.2567i −0.286328 0.827291i −0.992825 0.119575i \(-0.961847\pi\)
0.706497 0.707716i \(-0.250274\pi\)
\(488\) −0.142036 + 2.98171i −0.00642967 + 0.134975i
\(489\) −4.97389 5.74018i −0.224927 0.259580i
\(490\) 1.82143 + 0.0304593i 0.0822839 + 0.00137601i
\(491\) −17.0885 5.01765i −0.771195 0.226443i −0.127617 0.991824i \(-0.540733\pi\)
−0.643578 + 0.765380i \(0.722551\pi\)
\(492\) −16.0655 8.28235i −0.724290 0.373397i
\(493\) 19.2170 + 15.1124i 0.865489 + 0.680628i
\(494\) −0.865355 1.21522i −0.0389342 0.0546754i
\(495\) −0.608127 + 0.0580691i −0.0273333 + 0.00261001i
\(496\) 2.55456 17.7674i 0.114703 0.797779i
\(497\) −1.47790 1.57616i −0.0662930 0.0707003i
\(498\) 0.783624 + 0.230093i 0.0351150 + 0.0103107i
\(499\) −3.36571 + 2.64682i −0.150670 + 0.118488i −0.690648 0.723191i \(-0.742675\pi\)
0.539979 + 0.841679i \(0.318432\pi\)
\(500\) −13.1533 + 2.53508i −0.588231 + 0.113372i
\(501\) −17.0826 + 8.80670i −0.763195 + 0.393455i
\(502\) 7.70663 + 1.48533i 0.343964 + 0.0662936i
\(503\) 39.2093 11.5129i 1.74826 0.513335i 0.757960 0.652301i \(-0.226196\pi\)
0.990297 + 0.138966i \(0.0443778\pi\)
\(504\) −3.20680 1.49702i −0.142842 0.0666828i
\(505\) −0.279761 −0.0124492
\(506\) −0.140105 + 1.32980i −0.00622842 + 0.0591170i
\(507\) −5.52933 + 9.57709i −0.245566 + 0.425333i
\(508\) 26.1748 + 2.49939i 1.16132 + 0.110892i
\(509\) −3.17102 3.02356i −0.140553 0.134017i 0.616541 0.787322i \(-0.288533\pi\)
−0.757094 + 0.653305i \(0.773382\pi\)
\(510\) 0.918227 1.05969i 0.0406598 0.0469239i
\(511\) 8.01480 + 10.3689i 0.354554 + 0.458693i
\(512\) −14.0276 16.1888i −0.619940 0.715449i
\(513\) 0.693704 0.545535i 0.0306278 0.0240860i
\(514\) −0.676375 + 0.644922i −0.0298336 + 0.0284463i
\(515\) −0.657318 13.7988i −0.0289649 0.608048i
\(516\) 17.2762 6.91634i 0.760541 0.304475i
\(517\) −4.03349 + 8.83211i −0.177393 + 0.388436i
\(518\) −0.707616 + 0.729811i −0.0310909 + 0.0320661i
\(519\) −3.11551 + 21.6689i −0.136756 + 0.951158i
\(520\) −4.40353 2.27018i −0.193108 0.0995539i
\(521\) −3.94108 + 3.75781i −0.172662 + 0.164633i −0.771483 0.636250i \(-0.780485\pi\)
0.598821 + 0.800883i \(0.295636\pi\)
\(522\) −1.45175 0.581194i −0.0635415 0.0254382i
\(523\) −0.566309 + 1.63624i −0.0247630 + 0.0715479i −0.956705 0.291060i \(-0.905992\pi\)
0.931942 + 0.362607i \(0.118113\pi\)
\(524\) 1.83956 + 1.18221i 0.0803616 + 0.0516453i
\(525\) 0.0979864 11.7198i 0.00427648 0.511492i
\(526\) 3.39315 0.996319i 0.147948 0.0434416i
\(527\) −16.9925 + 23.8627i −0.740206 + 1.03947i
\(528\) 1.33546 2.31308i 0.0581183 0.100664i
\(529\) −22.4950 4.79324i −0.978043 0.208402i
\(530\) 0.937780 + 1.62428i 0.0407346 + 0.0705543i
\(531\) 4.50828 + 9.87176i 0.195643 + 0.428398i
\(532\) −1.98005 3.92090i −0.0858460 0.169993i
\(533\) 30.8616 35.6161i 1.33676 1.54271i
\(534\) −0.0386871 + 0.812143i −0.00167416 + 0.0351449i
\(535\) −7.13049 + 1.37429i −0.308278 + 0.0594157i
\(536\) −8.53521 3.41698i −0.368665 0.147591i
\(537\) −5.06889 20.8942i −0.218739 0.901653i
\(538\) −4.42076 + 2.84105i −0.190593 + 0.122486i
\(539\) −5.40626 1.68611i −0.232864 0.0726258i
\(540\) 0.590109 1.29216i 0.0253943 0.0556057i
\(541\) 24.7597 2.36427i 1.06450 0.101648i 0.451924 0.892056i \(-0.350738\pi\)
0.612580 + 0.790409i \(0.290132\pi\)
\(542\) −2.30028 1.80896i −0.0988056 0.0777016i
\(543\) −0.905430 19.0073i −0.0388557 0.815682i
\(544\) 4.84359 + 19.9655i 0.207667 + 0.856016i
\(545\) −1.06861 7.43237i −0.0457743 0.318368i
\(546\) 2.79401 3.49238i 0.119573 0.149460i
\(547\) −17.4507 11.2149i −0.746136 0.479512i 0.111503 0.993764i \(-0.464433\pi\)
−0.857639 + 0.514252i \(0.828070\pi\)
\(548\) −18.3085 3.52867i −0.782100 0.150737i
\(549\) 0.526128 2.16873i 0.0224546 0.0925590i
\(550\) −1.22952 0.117405i −0.0524268 0.00500615i
\(551\) −2.00217 3.46785i −0.0852951 0.147735i
\(552\) −5.18892 3.77195i −0.220855 0.160545i
\(553\) −29.3191 + 24.9790i −1.24677 + 1.06222i
\(554\) −0.894006 1.95760i −0.0379827 0.0831705i
\(555\) −0.609252 0.580921i −0.0258613 0.0246587i
\(556\) 6.00077 + 17.3381i 0.254489 + 0.735298i
\(557\) 28.9475 14.9234i 1.22654 0.632327i 0.281590 0.959535i \(-0.409138\pi\)
0.944952 + 0.327208i \(0.106108\pi\)
\(558\) 0.612866 1.77076i 0.0259447 0.0749622i
\(559\) 6.90515 + 48.0264i 0.292057 + 2.03130i
\(560\) −5.34056 3.87069i −0.225680 0.163566i
\(561\) −3.66697 + 2.35662i −0.154820 + 0.0994966i
\(562\) 10.2789 4.11504i 0.433588 0.173583i
\(563\) 0.102245 + 0.143583i 0.00430911 + 0.00605129i 0.816725 0.577027i \(-0.195787\pi\)
−0.812416 + 0.583079i \(0.801848\pi\)
\(564\) −13.0965 18.3914i −0.551461 0.774419i
\(565\) 8.68701 3.47775i 0.365465 0.146310i
\(566\) 2.98183 1.91631i 0.125336 0.0805483i
\(567\) 2.14226 + 1.55265i 0.0899664 + 0.0652052i
\(568\) −0.155461 1.08126i −0.00652302 0.0453686i
\(569\) 6.11148 17.6580i 0.256207 0.740261i −0.741397 0.671067i \(-0.765836\pi\)
0.997603 0.0691934i \(-0.0220426\pi\)
\(570\) −0.204136 + 0.105239i −0.00855031 + 0.00440799i
\(571\) −1.66247 4.80340i −0.0695723 0.201016i 0.904855 0.425721i \(-0.139979\pi\)
−0.974427 + 0.224705i \(0.927858\pi\)
\(572\) 5.40270 + 5.15146i 0.225898 + 0.215393i
\(573\) −0.835283 1.82902i −0.0348945 0.0764082i
\(574\) −6.66876 + 5.68160i −0.278349 + 0.237145i
\(575\) 4.22419 20.8204i 0.176161 0.868272i
\(576\) 2.64438 + 4.58021i 0.110183 + 0.190842i
\(577\) −7.97750 0.761758i −0.332107 0.0317124i −0.0723295 0.997381i \(-0.523043\pi\)
−0.259778 + 0.965668i \(0.583649\pi\)
\(578\) 0.977484 4.02924i 0.0406580 0.167594i
\(579\) 8.53567 + 1.64512i 0.354730 + 0.0683687i
\(580\) −5.42231 3.48471i −0.225149 0.144695i
\(581\) −3.91676 + 4.89577i −0.162495 + 0.203111i
\(582\) 0.238378 + 1.65795i 0.00988108 + 0.0687244i
\(583\) −1.37461 5.66621i −0.0569305 0.234671i
\(584\) 0.315266 + 6.61824i 0.0130458 + 0.273865i
\(585\) 2.91137 + 2.28953i 0.120370 + 0.0946603i
\(586\) 0.0537155 0.00512921i 0.00221897 0.000211886i
\(587\) −12.2574 + 26.8399i −0.505915 + 1.10780i 0.468586 + 0.883418i \(0.344764\pi\)
−0.974501 + 0.224382i \(0.927964\pi\)
\(588\) 9.68115 8.92672i 0.399244 0.368132i
\(589\) 4.03656 2.59414i 0.166324 0.106890i
\(590\) −0.665844 2.74465i −0.0274124 0.112995i
\(591\) 6.84257 + 2.73935i 0.281466 + 0.112682i
\(592\) 3.61404 0.696549i 0.148536 0.0286280i
\(593\) 0.147693 3.10045i 0.00606500 0.127320i −0.993804 0.111145i \(-0.964548\pi\)
0.999869 0.0161749i \(-0.00514885\pi\)
\(594\) 0.182587 0.210717i 0.00749163 0.00864580i
\(595\) 4.85231 + 9.60857i 0.198925 + 0.393913i
\(596\) 3.88944 + 8.51668i 0.159318 + 0.348857i
\(597\) −7.14139 12.3692i −0.292278 0.506240i
\(598\) 6.17851 5.24890i 0.252658 0.214644i
\(599\) −17.4566 + 30.2357i −0.713258 + 1.23540i 0.250370 + 0.968150i \(0.419448\pi\)
−0.963628 + 0.267248i \(0.913886\pi\)
\(600\) 3.43708 4.82670i 0.140318 0.197049i
\(601\) −13.1555 + 3.86280i −0.536624 + 0.157567i −0.538805 0.842431i \(-0.681124\pi\)
0.00218085 + 0.999998i \(0.499306\pi\)
\(602\) 0.0754108 9.01958i 0.00307351 0.367611i
\(603\) 5.78212 + 3.71594i 0.235466 + 0.151325i
\(604\) 0.794221 2.29475i 0.0323164 0.0933721i
\(605\) 7.25240 + 2.90342i 0.294852 + 0.118041i
\(606\) 0.0924106 0.0881133i 0.00375392 0.00357936i
\(607\) −13.4869 6.95298i −0.547416 0.282213i 0.162251 0.986750i \(-0.448125\pi\)
−0.709668 + 0.704537i \(0.751155\pi\)
\(608\) 0.478902 3.33083i 0.0194220 0.135083i
\(609\) 8.35664 8.61875i 0.338628 0.349249i
\(610\) −0.241257 + 0.528280i −0.00976822 + 0.0213894i
\(611\) 54.6512 21.8790i 2.21095 0.885131i
\(612\) −0.482290 10.1245i −0.0194954 0.409259i
\(613\) 5.30787 5.06105i 0.214383 0.204414i −0.575277 0.817959i \(-0.695106\pi\)
0.789660 + 0.613545i \(0.210257\pi\)
\(614\) 1.53706 1.20876i 0.0620307 0.0487815i
\(615\) −4.75108 5.48304i −0.191582 0.221097i
\(616\) −1.75098 2.26528i −0.0705490 0.0912706i
\(617\) −10.3476 + 11.9417i −0.416577 + 0.480756i −0.924791 0.380475i \(-0.875761\pi\)
0.508214 + 0.861231i \(0.330306\pi\)
\(618\) 4.56318 + 4.35099i 0.183558 + 0.175022i
\(619\) −27.9033 2.66444i −1.12153 0.107093i −0.482225 0.876048i \(-0.660171\pi\)
−0.639303 + 0.768955i \(0.720777\pi\)
\(620\) 3.86173 6.68872i 0.155091 0.268625i
\(621\) 3.27543 + 3.50308i 0.131439 + 0.140574i
\(622\) 11.6511 0.467165
\(623\) −5.65584 2.64031i −0.226597 0.105782i
\(624\) −15.5375 + 4.56223i −0.621999 + 0.182635i
\(625\) 16.4692 + 3.17417i 0.658767 + 0.126967i
\(626\) −5.44596 + 2.80759i −0.217664 + 0.112214i
\(627\) 0.701064 0.135119i 0.0279978 0.00539614i
\(628\) −14.5243 + 11.4220i −0.579583 + 0.455789i
\(629\) −5.76336 1.69228i −0.229800 0.0674754i
\(630\) −0.470959 0.502269i −0.0187635 0.0200109i
\(631\) −1.06488 + 7.40637i −0.0423920 + 0.294843i 0.957586 + 0.288149i \(0.0930399\pi\)
−0.999978 + 0.00669394i \(0.997869\pi\)
\(632\) −19.3850 + 1.85105i −0.771096 + 0.0736307i
\(633\) −13.9767 19.6275i −0.555524 0.780124i
\(634\) −4.52826 3.56106i −0.179840 0.141428i
\(635\) 9.38091 + 4.83619i 0.372270 + 0.191918i
\(636\) 13.0088 + 3.81973i 0.515833 + 0.151462i
\(637\) 16.6678 + 30.0176i 0.660402 + 1.18934i
\(638\) −0.828471 0.956106i −0.0327995 0.0378526i
\(639\) −0.0388580 + 0.815730i −0.00153720 + 0.0322698i
\(640\) −2.33360 6.74249i −0.0922436 0.266520i
\(641\) 10.9615 45.1841i 0.432955 1.78466i −0.168441 0.985712i \(-0.553873\pi\)
0.601395 0.798952i \(-0.294612\pi\)
\(642\) 1.92250 2.69977i 0.0758748 0.106551i
\(643\) 27.2085 1.07300 0.536499 0.843901i \(-0.319746\pi\)
0.536499 + 0.843901i \(0.319746\pi\)
\(644\) 20.3114 12.5389i 0.800383 0.494103i
\(645\) 7.46960 0.294115
\(646\) −0.950570 + 1.33489i −0.0373997 + 0.0525205i
\(647\) −0.233206 + 0.961287i −0.00916826 + 0.0377921i −0.976212 0.216818i \(-0.930432\pi\)
0.967044 + 0.254610i \(0.0819472\pi\)
\(648\) 0.437494 + 1.26406i 0.0171864 + 0.0496568i
\(649\) −0.417759 + 8.76985i −0.0163985 + 0.344247i
\(650\) 4.90383 + 5.65932i 0.192344 + 0.221977i
\(651\) 10.7923 + 9.51076i 0.422985 + 0.372756i
\(652\) 13.7098 + 4.02555i 0.536915 + 0.157653i
\(653\) −22.7203 11.7131i −0.889115 0.458371i −0.0477635 0.998859i \(-0.515209\pi\)
−0.841352 + 0.540488i \(0.818240\pi\)
\(654\) 2.69388 + 2.11849i 0.105339 + 0.0828394i
\(655\) 0.509129 + 0.714971i 0.0198933 + 0.0279362i
\(656\) 31.5767 3.01521i 1.23286 0.117724i
\(657\) 0.704938 4.90295i 0.0275022 0.191282i
\(658\) −10.6563 + 2.49103i −0.415424 + 0.0971106i
\(659\) −11.9708 3.51496i −0.466318 0.136923i 0.0401289 0.999195i \(-0.487223\pi\)
−0.506447 + 0.862271i \(0.669041\pi\)
\(660\) 0.903353 0.710405i 0.0351630 0.0276525i
\(661\) 38.1990 7.36225i 1.48577 0.286358i 0.619127 0.785291i \(-0.287487\pi\)
0.866641 + 0.498933i \(0.166274\pi\)
\(662\) 9.16786 4.72636i 0.356319 0.183695i
\(663\) 25.9502 + 5.00150i 1.00782 + 0.194242i
\(664\) −3.04142 + 0.893041i −0.118030 + 0.0346567i
\(665\) −0.152915 1.75647i −0.00592981 0.0681132i
\(666\) 0.384214 0.0148880
\(667\) 17.8482 12.4486i 0.691083 0.482012i
\(668\) 18.0777 31.3115i 0.699448 1.21148i
\(669\) 22.8097 + 2.17807i 0.881876 + 0.0842089i
\(670\) −1.29454 1.23434i −0.0500123 0.0476867i
\(671\) 1.18230 1.36445i 0.0456421 0.0526738i
\(672\) 9.99737 1.35219i 0.385657 0.0521620i
\(673\) 2.62438 + 3.02870i 0.101162 + 0.116748i 0.804073 0.594531i \(-0.202662\pi\)
−0.702911 + 0.711278i \(0.748117\pi\)
\(674\) 5.13815 4.04069i 0.197914 0.155641i
\(675\) −3.20600 + 3.05692i −0.123399 + 0.117661i
\(676\) −0.989886 20.7803i −0.0380725 0.799241i
\(677\) 5.65531 2.26405i 0.217351 0.0870144i −0.260431 0.965492i \(-0.583865\pi\)
0.477783 + 0.878478i \(0.341441\pi\)
\(678\) −1.77414 + 3.88482i −0.0681354 + 0.149196i
\(679\) −12.4705 3.13594i −0.478575 0.120346i
\(680\) −0.774497 + 5.38675i −0.0297006 + 0.206572i
\(681\) −14.2905 7.36726i −0.547613 0.282314i
\(682\) 1.09714 1.04612i 0.0420116 0.0400580i
\(683\) 7.52674 + 3.01325i 0.288003 + 0.115299i 0.511166 0.859482i \(-0.329214\pi\)
−0.223163 + 0.974781i \(0.571638\pi\)
\(684\) −0.543001 + 1.56890i −0.0207622 + 0.0599884i
\(685\) −6.29606 4.04623i −0.240560 0.154599i
\(686\) −2.22290 5.98323i −0.0848707 0.228441i
\(687\) −19.2283 + 5.64593i −0.733604 + 0.215406i
\(688\) −18.9436 + 26.6026i −0.722218 + 1.01421i
\(689\) −17.6751 + 30.6141i −0.673367 + 1.16631i
\(690\) −0.664468 1.05649i −0.0252959 0.0402198i
\(691\) 12.1692 + 21.0777i 0.462939 + 0.801834i 0.999106 0.0422780i \(-0.0134615\pi\)
−0.536167 + 0.844112i \(0.680128\pi\)
\(692\) −17.1081 37.4615i −0.650353 1.42407i
\(693\) 0.964869 + 1.91064i 0.0366523 + 0.0725791i
\(694\) −5.59932 + 6.46196i −0.212547 + 0.245293i
\(695\) −0.350413 + 7.35607i −0.0132919 + 0.279032i
\(696\) 5.95966 1.14863i 0.225900 0.0435387i
\(697\) −48.0595 19.2401i −1.82038 0.728771i
\(698\) −0.569139 2.34602i −0.0215422 0.0887982i
\(699\) 2.06414 1.32654i 0.0780730 0.0501745i
\(700\) 11.7647 + 18.6472i 0.444664 + 0.704798i
\(701\) −12.4605 + 27.2847i −0.470627 + 1.03053i 0.514308 + 0.857605i \(0.328049\pi\)
−0.984935 + 0.172924i \(0.944679\pi\)
\(702\) −1.68279 + 0.160687i −0.0635129 + 0.00606474i
\(703\) 0.773362 + 0.608178i 0.0291679 + 0.0229379i
\(704\) 0.203588 + 4.27383i 0.00767300 + 0.161076i
\(705\) −2.13659 8.80715i −0.0804687 0.331697i
\(706\) −0.561754 3.90709i −0.0211419 0.147045i
\(707\) 0.356692 + 0.913025i 0.0134148 + 0.0343378i
\(708\) −17.1750 11.0377i −0.645475 0.414822i
\(709\) −18.5891 3.58275i −0.698128 0.134553i −0.172174 0.985067i \(-0.555079\pi\)
−0.525953 + 0.850513i \(0.676291\pi\)
\(710\) 0.0501051 0.206536i 0.00188041 0.00775116i
\(711\) 14.4922 + 1.38383i 0.543498 + 0.0518978i
\(712\) −1.57784 2.73290i −0.0591321 0.102420i
\(713\) 15.9175 + 20.6529i 0.596116 + 0.773458i
\(714\) −4.62912 1.64562i −0.173241 0.0615858i
\(715\) 1.24475 + 2.72563i 0.0465511 + 0.101933i
\(716\) 29.2728 + 27.9115i 1.09397 + 1.04310i
\(717\) 7.82435 + 22.6070i 0.292206 + 0.844273i
\(718\) 0.924313 0.476516i 0.0344950 0.0177834i
\(719\) 9.10883 26.3182i 0.339702 0.981504i −0.637731 0.770259i \(-0.720127\pi\)
0.977433 0.211245i \(-0.0677519\pi\)
\(720\) 0.354785 + 2.46758i 0.0132220 + 0.0919613i
\(721\) −44.1955 + 19.7385i −1.64593 + 0.735101i
\(722\) −5.28285 + 3.39508i −0.196607 + 0.126352i
\(723\) 4.82807 1.93287i 0.179558 0.0718841i
\(724\) 20.7646 + 29.1598i 0.771711 + 1.08372i
\(725\) 11.6590 + 16.3728i 0.433006 + 0.608072i
\(726\) −3.31007 + 1.32515i −0.122848 + 0.0491810i
\(727\) 33.7594 21.6958i 1.25207 0.804654i 0.264889 0.964279i \(-0.414665\pi\)
0.987178 + 0.159625i \(0.0510284\pi\)
\(728\) −1.79447 + 17.2658i −0.0665074 + 0.639912i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −0.421613 + 1.21817i −0.0156046 + 0.0450865i
\(731\) 47.3734 24.4227i 1.75217 0.903305i
\(732\) 1.37310 + 3.96730i 0.0507511 + 0.146636i
\(733\) 4.39071 + 4.18653i 0.162175 + 0.154633i 0.766821 0.641861i \(-0.221837\pi\)
−0.604647 + 0.796494i \(0.706686\pi\)
\(734\) −1.72120 3.76891i −0.0635307 0.139113i
\(735\) 4.93930 1.88220i 0.182189 0.0694259i
\(736\) 18.2567 + 1.04854i 0.672951 + 0.0386498i
\(737\) 2.78026 + 4.81555i 0.102412 + 0.177383i
\(738\) 3.29631 + 0.314759i 0.121339 + 0.0115864i
\(739\) 3.79808 15.6559i 0.139715 0.575912i −0.858312 0.513128i \(-0.828487\pi\)
0.998027 0.0627846i \(-0.0199981\pi\)
\(740\) 1.55503 + 0.299707i 0.0571640 + 0.0110175i
\(741\) −3.64154 2.34028i −0.133775 0.0859722i
\(742\) 4.10533 5.13147i 0.150711 0.188382i
\(743\) 2.77852 + 19.3250i 0.101934 + 0.708966i 0.975136 + 0.221607i \(0.0711304\pi\)
−0.873202 + 0.487358i \(0.837961\pi\)
\(744\) 1.71461 + 7.06770i 0.0628605 + 0.259114i
\(745\) 0.178820 + 3.75389i 0.00655146 + 0.137532i
\(746\) 7.90573 + 6.21713i 0.289449 + 0.227625i
\(747\) 2.35901 0.225258i 0.0863116 0.00824176i
\(748\) 3.40646 7.45911i 0.124553 0.272732i
\(749\) 13.5764 + 21.5188i 0.496071 + 0.786279i
\(750\) 2.06445 1.32674i 0.0753832 0.0484458i
\(751\) 9.43838 + 38.9055i 0.344411 + 1.41968i 0.835940 + 0.548821i \(0.184923\pi\)
−0.491528 + 0.870861i \(0.663562\pi\)
\(752\) 36.7848 + 14.7264i 1.34140 + 0.537017i
\(753\) 22.3614 4.30981i 0.814895 0.157058i
\(754\) −0.364964 + 7.66155i −0.0132912 + 0.279017i
\(755\) 0.638295 0.736632i 0.0232300 0.0268088i
\(756\) −4.96946 0.278384i −0.180737 0.0101247i
\(757\) 16.7021 + 36.5725i 0.607048 + 1.32925i 0.924575 + 0.381000i \(0.124420\pi\)
−0.317527 + 0.948249i \(0.602853\pi\)
\(758\) −5.97959 10.3570i −0.217189 0.376182i
\(759\) 1.05667 + 3.73323i 0.0383546 + 0.135508i
\(760\) 0.445694 0.771964i 0.0161670 0.0280021i
\(761\) −6.03939 + 8.48114i −0.218928 + 0.307441i −0.909404 0.415914i \(-0.863462\pi\)
0.690476 + 0.723355i \(0.257401\pi\)
\(762\) −4.62190 + 1.35711i −0.167434 + 0.0491630i
\(763\) −22.8937 + 12.9637i −0.828808 + 0.469317i
\(764\) 3.18214 + 2.04504i 0.115126 + 0.0739868i
\(765\) 1.33068 3.84475i 0.0481108 0.139007i
\(766\) 11.6215 + 4.65254i 0.419901 + 0.168103i
\(767\) 38.5251 36.7336i 1.39106 1.32637i
\(768\) −6.50724 3.35472i −0.234810 0.121053i
\(769\) −1.58936 + 11.0543i −0.0573139 + 0.398627i 0.940890 + 0.338713i \(0.109992\pi\)
−0.998204 + 0.0599136i \(0.980917\pi\)
\(770\) −0.152460 0.535761i −0.00549428 0.0193075i
\(771\) −1.12648 + 2.46666i −0.0405693 + 0.0888344i
\(772\) −15.1816 + 6.07780i −0.546398 + 0.218745i