Properties

Label 483.2.y.b.340.4
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 340.4
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.b.331.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.460427 - 1.89791i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-1.61239 + 0.831245i) q^{4} +(0.128307 - 0.0513663i) q^{5} +(-1.64293 + 1.05585i) q^{6} +(-1.62090 - 2.09109i) q^{7} +(-0.237817 - 0.274456i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.460427 - 1.89791i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-1.61239 + 0.831245i) q^{4} +(0.128307 - 0.0513663i) q^{5} +(-1.64293 + 1.05585i) q^{6} +(-1.62090 - 2.09109i) q^{7} +(-0.237817 - 0.274456i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(-0.156565 - 0.219864i) q^{10} +(0.270110 - 1.11341i) q^{11} +(1.31289 + 1.25184i) q^{12} +(0.526616 - 1.15313i) q^{13} +(-3.22240 + 4.03912i) q^{14} +(-0.0905063 - 0.104450i) q^{15} +(-2.51590 + 3.53308i) q^{16} +(-0.146768 - 3.08103i) q^{17} +(1.53513 + 1.20724i) q^{18} +(-0.226514 + 4.75511i) q^{19} +(-0.164183 + 0.189477i) q^{20} +(-1.44594 + 2.21568i) q^{21} -2.23751 q^{22} +(-4.72631 - 0.813647i) q^{23} +(-0.181579 + 0.314503i) q^{24} +(-3.60485 + 3.43721i) q^{25} +(-2.43100 - 0.468536i) q^{26} +(0.841254 + 0.540641i) q^{27} +(4.35174 + 2.02429i) q^{28} +(4.44994 - 2.85981i) q^{29} +(-0.156565 + 0.219864i) q^{30} +(-1.86125 + 0.358727i) q^{31} +(7.18956 + 2.87827i) q^{32} +(-1.14052 + 0.108906i) q^{33} +(-5.77994 + 1.69714i) q^{34} +(-0.315385 - 0.185042i) q^{35} +(0.753583 - 1.65012i) q^{36} +(-4.39296 + 3.45466i) q^{37} +(9.12905 - 1.75948i) q^{38} +(-1.26195 - 0.120501i) q^{39} +(-0.0446114 - 0.0229988i) q^{40} +(0.573363 - 3.98783i) q^{41} +(4.87091 + 1.72410i) q^{42} +(4.23547 - 4.88799i) q^{43} +(0.489992 + 2.01978i) q^{44} +(-0.0691034 + 0.119691i) q^{45} +(0.631895 + 9.34472i) q^{46} +(-1.76906 - 3.06410i) q^{47} +(4.16163 + 1.22197i) q^{48} +(-1.74535 + 6.77892i) q^{49} +(8.18329 + 5.25908i) q^{50} +(-2.86358 + 1.14640i) q^{51} +(0.109421 + 2.29704i) q^{52} +(10.2787 + 0.981495i) q^{53} +(0.638750 - 1.84555i) q^{54} +(-0.0225347 - 0.156732i) q^{55} +(-0.188434 + 0.942164i) q^{56} +(4.56767 - 1.34119i) q^{57} +(-7.47652 - 7.12885i) q^{58} +(-5.01361 - 7.04064i) q^{59} +(0.232755 + 0.0931809i) q^{60} +(2.21524 - 6.40052i) q^{61} +(1.53780 + 3.36732i) q^{62} +(2.56674 + 0.641736i) q^{63} +(0.917882 - 6.38401i) q^{64} +(0.00833649 - 0.175004i) q^{65} +(0.731819 + 2.11445i) q^{66} +(-2.99011 + 2.85106i) q^{67} +(2.79774 + 4.84583i) q^{68} +(0.776927 + 4.73248i) q^{69} +(-0.205981 + 0.683769i) q^{70} +(-2.58761 - 0.759792i) q^{71} +(0.356594 + 0.0687279i) q^{72} +(10.2384 - 5.27828i) q^{73} +(8.57927 + 6.74682i) q^{74} +(4.42720 + 2.28238i) q^{75} +(-3.58743 - 7.85538i) q^{76} +(-2.76606 + 1.23990i) q^{77} +(0.352334 + 2.45054i) q^{78} +(-10.6102 + 1.01316i) q^{79} +(-0.141325 + 0.582551i) q^{80} +(0.235759 - 0.971812i) q^{81} +(-7.83252 + 0.747915i) q^{82} +(-1.61933 - 11.2627i) q^{83} +(0.489644 - 4.77448i) q^{84} +(-0.177093 - 0.387779i) q^{85} +(-11.2271 - 5.78796i) q^{86} +(-4.15795 - 3.26985i) q^{87} +(-0.369818 + 0.190655i) q^{88} +(3.25366 + 0.627091i) q^{89} +(0.258979 + 0.0760431i) q^{90} +(-3.26489 + 0.767904i) q^{91} +(8.29699 - 2.61680i) q^{92} +(0.947753 + 1.64156i) q^{93} +(-5.00085 + 4.76830i) q^{94} +(0.215189 + 0.621748i) q^{95} +(0.368489 - 7.73553i) q^{96} +(2.43915 - 16.9647i) q^{97} +(13.6694 + 0.191315i) q^{98} +(0.475943 + 1.04217i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.460427 1.89791i −0.325571 1.34202i −0.865752 0.500474i \(-0.833159\pi\)
0.540180 0.841549i \(-0.318356\pi\)
\(3\) −0.327068 0.945001i −0.188833 0.545596i
\(4\) −1.61239 + 0.831245i −0.806195 + 0.415622i
\(5\) 0.128307 0.0513663i 0.0573806 0.0229717i −0.342795 0.939410i \(-0.611374\pi\)
0.400175 + 0.916439i \(0.368949\pi\)
\(6\) −1.64293 + 1.05585i −0.670725 + 0.431049i
\(7\) −1.62090 2.09109i −0.612644 0.790359i
\(8\) −0.237817 0.274456i −0.0840811 0.0970348i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) −0.156565 0.219864i −0.0495100 0.0695271i
\(11\) 0.270110 1.11341i 0.0814412 0.335705i −0.916485 0.400068i \(-0.868986\pi\)
0.997927 + 0.0643630i \(0.0205016\pi\)
\(12\) 1.31289 + 1.25184i 0.378998 + 0.361374i
\(13\) 0.526616 1.15313i 0.146057 0.319820i −0.822437 0.568856i \(-0.807386\pi\)
0.968494 + 0.249036i \(0.0801136\pi\)
\(14\) −3.22240 + 4.03912i −0.861222 + 1.07950i
\(15\) −0.0905063 0.104450i −0.0233686 0.0269688i
\(16\) −2.51590 + 3.53308i −0.628974 + 0.883270i
\(17\) −0.146768 3.08103i −0.0355964 0.747261i −0.944155 0.329503i \(-0.893119\pi\)
0.908558 0.417758i \(-0.137184\pi\)
\(18\) 1.53513 + 1.20724i 0.361833 + 0.284549i
\(19\) −0.226514 + 4.75511i −0.0519658 + 1.09090i 0.810810 + 0.585310i \(0.199027\pi\)
−0.862776 + 0.505587i \(0.831276\pi\)
\(20\) −0.164183 + 0.189477i −0.0367124 + 0.0423683i
\(21\) −1.44594 + 2.21568i −0.315530 + 0.483502i
\(22\) −2.23751 −0.477039
\(23\) −4.72631 0.813647i −0.985503 0.169657i
\(24\) −0.181579 + 0.314503i −0.0370646 + 0.0641977i
\(25\) −3.60485 + 3.43721i −0.720969 + 0.687443i
\(26\) −2.43100 0.468536i −0.476758 0.0918875i
\(27\) 0.841254 + 0.540641i 0.161899 + 0.104046i
\(28\) 4.35174 + 2.02429i 0.822401 + 0.382555i
\(29\) 4.44994 2.85981i 0.826334 0.531052i −0.0577772 0.998330i \(-0.518401\pi\)
0.884111 + 0.467277i \(0.154765\pi\)
\(30\) −0.156565 + 0.219864i −0.0285846 + 0.0401415i
\(31\) −1.86125 + 0.358727i −0.334291 + 0.0644293i −0.353635 0.935384i \(-0.615054\pi\)
0.0193439 + 0.999813i \(0.493842\pi\)
\(32\) 7.18956 + 2.87827i 1.27095 + 0.508811i
\(33\) −1.14052 + 0.108906i −0.198538 + 0.0189581i
\(34\) −5.77994 + 1.69714i −0.991252 + 0.291058i
\(35\) −0.315385 0.185042i −0.0533097 0.0312778i
\(36\) 0.753583 1.65012i 0.125597 0.275019i
\(37\) −4.39296 + 3.45466i −0.722198 + 0.567943i −0.910172 0.414231i \(-0.864051\pi\)
0.187973 + 0.982174i \(0.439808\pi\)
\(38\) 9.12905 1.75948i 1.48093 0.285425i
\(39\) −1.26195 0.120501i −0.202073 0.0192956i
\(40\) −0.0446114 0.0229988i −0.00705368 0.00363642i
\(41\) 0.573363 3.98783i 0.0895442 0.622794i −0.894791 0.446486i \(-0.852675\pi\)
0.984335 0.176308i \(-0.0564155\pi\)
\(42\) 4.87091 + 1.72410i 0.751598 + 0.266034i
\(43\) 4.23547 4.88799i 0.645903 0.745412i −0.334504 0.942394i \(-0.608569\pi\)
0.980407 + 0.196983i \(0.0631143\pi\)
\(44\) 0.489992 + 2.01978i 0.0738691 + 0.304493i
\(45\) −0.0691034 + 0.119691i −0.0103013 + 0.0178424i
\(46\) 0.631895 + 9.34472i 0.0931678 + 1.37780i
\(47\) −1.76906 3.06410i −0.258043 0.446944i 0.707674 0.706539i \(-0.249744\pi\)
−0.965718 + 0.259594i \(0.916411\pi\)
\(48\) 4.16163 + 1.22197i 0.600680 + 0.176376i
\(49\) −1.74535 + 6.77892i −0.249336 + 0.968417i
\(50\) 8.18329 + 5.25908i 1.15729 + 0.743746i
\(51\) −2.86358 + 1.14640i −0.400981 + 0.160529i
\(52\) 0.109421 + 2.29704i 0.0151740 + 0.318542i
\(53\) 10.2787 + 0.981495i 1.41188 + 0.134819i 0.772962 0.634452i \(-0.218774\pi\)
0.638923 + 0.769271i \(0.279380\pi\)
\(54\) 0.638750 1.84555i 0.0869229 0.251147i
\(55\) −0.0225347 0.156732i −0.00303858 0.0211338i
\(56\) −0.188434 + 0.942164i −0.0251806 + 0.125902i
\(57\) 4.56767 1.34119i 0.605002 0.177645i
\(58\) −7.47652 7.12885i −0.981716 0.936064i
\(59\) −5.01361 7.04064i −0.652717 0.916613i 0.347058 0.937844i \(-0.387181\pi\)
−0.999775 + 0.0212311i \(0.993241\pi\)
\(60\) 0.232755 + 0.0931809i 0.0300485 + 0.0120296i
\(61\) 2.21524 6.40052i 0.283633 0.819503i −0.709729 0.704474i \(-0.751183\pi\)
0.993362 0.115029i \(-0.0366960\pi\)
\(62\) 1.53780 + 3.36732i 0.195301 + 0.427650i
\(63\) 2.56674 + 0.641736i 0.323379 + 0.0808511i
\(64\) 0.917882 6.38401i 0.114735 0.798001i
\(65\) 0.00833649 0.175004i 0.00103401 0.0217066i
\(66\) 0.731819 + 2.11445i 0.0900807 + 0.260271i
\(67\) −2.99011 + 2.85106i −0.365300 + 0.348313i −0.850391 0.526151i \(-0.823635\pi\)
0.485092 + 0.874463i \(0.338786\pi\)
\(68\) 2.79774 + 4.84583i 0.339276 + 0.587643i
\(69\) 0.776927 + 4.73248i 0.0935310 + 0.569724i
\(70\) −0.205981 + 0.683769i −0.0246194 + 0.0817261i
\(71\) −2.58761 0.759792i −0.307093 0.0901707i 0.124555 0.992213i \(-0.460250\pi\)
−0.431648 + 0.902042i \(0.642068\pi\)
\(72\) 0.356594 + 0.0687279i 0.0420250 + 0.00809966i
\(73\) 10.2384 5.27828i 1.19832 0.617776i 0.260693 0.965422i \(-0.416049\pi\)
0.937626 + 0.347646i \(0.113019\pi\)
\(74\) 8.57927 + 6.74682i 0.997320 + 0.784301i
\(75\) 4.42720 + 2.28238i 0.511209 + 0.263547i
\(76\) −3.58743 7.85538i −0.411507 0.901074i
\(77\) −2.76606 + 1.23990i −0.315222 + 0.141300i
\(78\) 0.352334 + 2.45054i 0.0398940 + 0.277469i
\(79\) −10.6102 + 1.01316i −1.19375 + 0.113989i −0.672947 0.739691i \(-0.734972\pi\)
−0.520799 + 0.853680i \(0.674366\pi\)
\(80\) −0.141325 + 0.582551i −0.0158006 + 0.0651312i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) −7.83252 + 0.747915i −0.864957 + 0.0825934i
\(83\) −1.61933 11.2627i −0.177745 1.23624i −0.861965 0.506967i \(-0.830767\pi\)
0.684221 0.729275i \(-0.260142\pi\)
\(84\) 0.489644 4.77448i 0.0534246 0.520938i
\(85\) −0.177093 0.387779i −0.0192084 0.0420605i
\(86\) −11.2271 5.78796i −1.21065 0.624132i
\(87\) −4.15795 3.26985i −0.445779 0.350565i
\(88\) −0.369818 + 0.190655i −0.0394228 + 0.0203238i
\(89\) 3.25366 + 0.627091i 0.344887 + 0.0664715i 0.358753 0.933432i \(-0.383202\pi\)
−0.0138665 + 0.999904i \(0.504414\pi\)
\(90\) 0.258979 + 0.0760431i 0.0272988 + 0.00801565i
\(91\) −3.26489 + 0.767904i −0.342253 + 0.0804982i
\(92\) 8.29699 2.61680i 0.865021 0.272820i
\(93\) 0.947753 + 1.64156i 0.0982774 + 0.170221i
\(94\) −5.00085 + 4.76830i −0.515798 + 0.491813i
\(95\) 0.215189 + 0.621748i 0.0220779 + 0.0637900i
\(96\) 0.368489 7.73553i 0.0376087 0.789505i
\(97\) 2.43915 16.9647i 0.247659 1.72250i −0.364015 0.931393i \(-0.618594\pi\)
0.611673 0.791110i \(-0.290497\pi\)
\(98\) 13.6694 + 0.191315i 1.38082 + 0.0193257i
\(99\) 0.475943 + 1.04217i 0.0478340 + 0.104742i
\(100\) 2.95525 8.53864i 0.295525 0.853864i
\(101\) −6.70525 2.68438i −0.667197 0.267106i 0.0132393 0.999912i \(-0.495786\pi\)
−0.680437 + 0.732807i \(0.738210\pi\)
\(102\) 3.49424 + 4.90697i 0.345981 + 0.485862i
\(103\) −4.96218 4.73143i −0.488939 0.466202i 0.405048 0.914295i \(-0.367255\pi\)
−0.893987 + 0.448093i \(0.852103\pi\)
\(104\) −0.441721 + 0.129701i −0.0433143 + 0.0127182i
\(105\) −0.0717126 + 0.358560i −0.00699843 + 0.0349919i
\(106\) −2.86980 19.9599i −0.278740 1.93868i
\(107\) 3.71207 10.7253i 0.358859 1.03686i −0.610671 0.791884i \(-0.709100\pi\)
0.969530 0.244971i \(-0.0787785\pi\)
\(108\) −1.80583 0.172436i −0.173766 0.0165927i
\(109\) 0.0638380 + 1.34012i 0.00611457 + 0.128361i 0.999861 + 0.0166967i \(0.00531499\pi\)
−0.993746 + 0.111664i \(0.964382\pi\)
\(110\) −0.287088 + 0.114933i −0.0273728 + 0.0109584i
\(111\) 4.70146 + 3.02144i 0.446243 + 0.286783i
\(112\) 11.4660 0.465804i 1.08344 0.0440144i
\(113\) −13.3085 3.90773i −1.25196 0.367609i −0.412464 0.910974i \(-0.635332\pi\)
−0.839496 + 0.543365i \(0.817150\pi\)
\(114\) −4.64853 8.05149i −0.435375 0.754091i
\(115\) −0.648212 + 0.138376i −0.0604460 + 0.0129037i
\(116\) −4.79785 + 8.31011i −0.445469 + 0.771575i
\(117\) 0.298868 + 1.23195i 0.0276304 + 0.113894i
\(118\) −11.0541 + 12.7571i −1.01761 + 1.17438i
\(119\) −6.20484 + 5.30096i −0.568797 + 0.485938i
\(120\) −0.00714290 + 0.0496799i −0.000652054 + 0.00453514i
\(121\) 8.61047 + 4.43901i 0.782770 + 0.403546i
\(122\) −13.1676 1.25735i −1.19213 0.113835i
\(123\) −3.95603 + 0.762462i −0.356703 + 0.0687489i
\(124\) 2.70287 2.12556i 0.242725 0.190881i
\(125\) −0.573035 + 1.25477i −0.0512539 + 0.112230i
\(126\) 0.0361560 5.16692i 0.00322103 0.460306i
\(127\) −9.04156 + 2.65484i −0.802309 + 0.235579i −0.657082 0.753819i \(-0.728209\pi\)
−0.145227 + 0.989398i \(0.546391\pi\)
\(128\) 2.87960 0.274969i 0.254523 0.0243040i
\(129\) −6.00444 2.40382i −0.528662 0.211644i
\(130\) −0.335981 + 0.0647549i −0.0294674 + 0.00567938i
\(131\) −2.45976 + 3.45426i −0.214911 + 0.301800i −0.907932 0.419117i \(-0.862340\pi\)
0.693022 + 0.720917i \(0.256279\pi\)
\(132\) 1.74843 1.12365i 0.152181 0.0978009i
\(133\) 10.3105 7.23391i 0.894037 0.627259i
\(134\) 6.78778 + 4.36224i 0.586375 + 0.376840i
\(135\) 0.135709 + 0.0261558i 0.0116800 + 0.00225113i
\(136\) −0.810704 + 0.773005i −0.0695173 + 0.0662846i
\(137\) −5.75563 + 9.96904i −0.491737 + 0.851713i −0.999955 0.00951554i \(-0.996971\pi\)
0.508218 + 0.861228i \(0.330304\pi\)
\(138\) 8.62410 3.65350i 0.734132 0.311007i
\(139\) 6.20675 0.526449 0.263225 0.964735i \(-0.415214\pi\)
0.263225 + 0.964735i \(0.415214\pi\)
\(140\) 0.662338 + 0.0361979i 0.0559778 + 0.00305928i
\(141\) −2.31697 + 2.67393i −0.195124 + 0.225185i
\(142\) −0.250607 + 5.26088i −0.0210304 + 0.441483i
\(143\) −1.14166 0.897809i −0.0954702 0.0750786i
\(144\) −0.206378 4.33241i −0.0171982 0.361034i
\(145\) 0.424061 0.595510i 0.0352163 0.0494544i
\(146\) −14.7317 17.0013i −1.21921 1.40704i
\(147\) 6.97693 0.567809i 0.575448 0.0468321i
\(148\) 4.21150 9.22189i 0.346183 0.758035i
\(149\) 5.76821 + 5.49998i 0.472550 + 0.450576i 0.888544 0.458792i \(-0.151718\pi\)
−0.415994 + 0.909368i \(0.636566\pi\)
\(150\) 2.29334 9.45329i 0.187251 0.771858i
\(151\) −10.5760 14.8519i −0.860661 1.20863i −0.976534 0.215365i \(-0.930906\pi\)
0.115873 0.993264i \(-0.463034\pi\)
\(152\) 1.35894 1.06868i 0.110224 0.0866813i
\(153\) 2.01994 + 2.33113i 0.163302 + 0.188461i
\(154\) 3.62679 + 4.67885i 0.292255 + 0.377032i
\(155\) −0.220385 + 0.141633i −0.0177017 + 0.0113762i
\(156\) 2.13491 0.854691i 0.170930 0.0684300i
\(157\) 9.03273 4.65670i 0.720890 0.371645i −0.0584123 0.998293i \(-0.518604\pi\)
0.779303 + 0.626648i \(0.215573\pi\)
\(158\) 6.80812 + 19.6708i 0.541625 + 1.56492i
\(159\) −2.43431 10.0344i −0.193054 0.795778i
\(160\) 1.07032 0.0846159
\(161\) 5.95947 + 11.2020i 0.469672 + 0.882841i
\(162\) −1.95296 −0.153439
\(163\) −1.54319 6.36112i −0.120872 0.498242i −0.999774 0.0212398i \(-0.993239\pi\)
0.878902 0.477002i \(-0.158276\pi\)
\(164\) 2.39037 + 6.90653i 0.186657 + 0.539310i
\(165\) −0.140742 + 0.0725575i −0.0109567 + 0.00564859i
\(166\) −20.6300 + 8.25900i −1.60120 + 0.641023i
\(167\) 13.3583 8.58485i 1.03370 0.664316i 0.0902759 0.995917i \(-0.471225\pi\)
0.943420 + 0.331601i \(0.107589\pi\)
\(168\) 0.951977 0.130081i 0.0734466 0.0100360i
\(169\) 7.46081 + 8.61024i 0.573909 + 0.662326i
\(170\) −0.654430 + 0.514650i −0.0501925 + 0.0394718i
\(171\) −2.76136 3.87779i −0.211167 0.296542i
\(172\) −2.76611 + 11.4021i −0.210914 + 0.869399i
\(173\) −10.9478 10.4387i −0.832345 0.793639i 0.148401 0.988927i \(-0.452587\pi\)
−0.980746 + 0.195288i \(0.937436\pi\)
\(174\) −4.29144 + 9.39694i −0.325333 + 0.712380i
\(175\) 13.0306 + 1.96669i 0.985024 + 0.148667i
\(176\) 3.25419 + 3.75554i 0.245294 + 0.283085i
\(177\) −5.01361 + 7.04064i −0.376846 + 0.529207i
\(178\) −0.307912 6.46387i −0.0230790 0.484488i
\(179\) 13.2928 + 10.4536i 0.993549 + 0.781335i 0.975835 0.218508i \(-0.0701189\pi\)
0.0177136 + 0.999843i \(0.494361\pi\)
\(180\) 0.0119294 0.250430i 0.000889168 0.0186659i
\(181\) 3.36509 3.88352i 0.250125 0.288660i −0.616777 0.787138i \(-0.711562\pi\)
0.866902 + 0.498478i \(0.166108\pi\)
\(182\) 2.96066 + 5.84290i 0.219458 + 0.433104i
\(183\) −6.77303 −0.500677
\(184\) 0.900687 + 1.49066i 0.0663996 + 0.109893i
\(185\) −0.386194 + 0.668907i −0.0283935 + 0.0491790i
\(186\) 2.67915 2.55457i 0.196445 0.187310i
\(187\) −3.47009 0.668806i −0.253758 0.0489079i
\(188\) 5.39942 + 3.47000i 0.393793 + 0.253076i
\(189\) −0.233059 2.63547i −0.0169525 0.191702i
\(190\) 1.08094 0.694679i 0.0784198 0.0503973i
\(191\) 7.87694 11.0616i 0.569955 0.800390i −0.424514 0.905422i \(-0.639555\pi\)
0.994469 + 0.105031i \(0.0334943\pi\)
\(192\) −6.33310 + 1.22061i −0.457052 + 0.0880896i
\(193\) 19.6552 + 7.86876i 1.41481 + 0.566406i 0.948091 0.317998i \(-0.103011\pi\)
0.466722 + 0.884404i \(0.345435\pi\)
\(194\) −33.3205 + 3.18172i −2.39227 + 0.228434i
\(195\) −0.168106 + 0.0493603i −0.0120383 + 0.00353477i
\(196\) −2.82075 12.3811i −0.201482 0.884363i
\(197\) −5.92185 + 12.9670i −0.421914 + 0.923863i 0.572656 + 0.819796i \(0.305913\pi\)
−0.994570 + 0.104067i \(0.966814\pi\)
\(198\) 1.75880 1.38314i 0.124993 0.0982954i
\(199\) 19.4627 3.75112i 1.37967 0.265910i 0.555155 0.831747i \(-0.312659\pi\)
0.824517 + 0.565837i \(0.191447\pi\)
\(200\) 1.80066 + 0.171942i 0.127326 + 0.0121581i
\(201\) 3.67222 + 1.89316i 0.259019 + 0.133533i
\(202\) −2.00742 + 13.9619i −0.141242 + 0.982357i
\(203\) −13.1930 4.66979i −0.925970 0.327755i
\(204\) 3.66426 4.22878i 0.256550 0.296074i
\(205\) −0.131274 0.541117i −0.00916854 0.0377932i
\(206\) −6.69510 + 11.5962i −0.466470 + 0.807949i
\(207\) 4.21809 2.28204i 0.293178 0.158613i
\(208\) 2.74918 + 4.76172i 0.190622 + 0.330166i
\(209\) 5.23320 + 1.53660i 0.361988 + 0.106289i
\(210\) 0.713532 0.0289871i 0.0492384 0.00200030i
\(211\) 14.0654 + 9.03927i 0.968301 + 0.622289i 0.926283 0.376828i \(-0.122985\pi\)
0.0420175 + 0.999117i \(0.486621\pi\)
\(212\) −17.3891 + 6.96155i −1.19429 + 0.478121i
\(213\) 0.128322 + 2.69380i 0.00879245 + 0.184576i
\(214\) −22.0648 2.10693i −1.50832 0.144027i
\(215\) 0.292361 0.844723i 0.0199389 0.0576096i
\(216\) −0.0516826 0.359461i −0.00351656 0.0244582i
\(217\) 3.76704 + 3.31059i 0.255723 + 0.224738i
\(218\) 2.51404 0.738189i 0.170272 0.0499965i
\(219\) −8.33665 7.94898i −0.563338 0.537142i
\(220\) 0.166618 + 0.233982i 0.0112334 + 0.0157751i
\(221\) −3.63011 1.45328i −0.244188 0.0977581i
\(222\) 3.56974 10.3141i 0.239585 0.692236i
\(223\) 6.88853 + 15.0838i 0.461290 + 1.01008i 0.987192 + 0.159539i \(0.0510008\pi\)
−0.525902 + 0.850545i \(0.676272\pi\)
\(224\) −5.63485 19.6994i −0.376494 1.31622i
\(225\) 0.708856 4.93020i 0.0472571 0.328680i
\(226\) −1.28891 + 27.0576i −0.0857371 + 1.79984i
\(227\) −3.26747 9.44073i −0.216869 0.626603i −0.999989 0.00473167i \(-0.998494\pi\)
0.783119 0.621871i \(-0.213627\pi\)
\(228\) −6.25001 + 5.95937i −0.413917 + 0.394669i
\(229\) −6.10691 10.5775i −0.403556 0.698979i 0.590596 0.806967i \(-0.298893\pi\)
−0.994152 + 0.107988i \(0.965559\pi\)
\(230\) 0.561080 + 1.16653i 0.0369965 + 0.0769189i
\(231\) 2.07640 + 2.20840i 0.136617 + 0.145302i
\(232\) −1.84316 0.541202i −0.121010 0.0355316i
\(233\) 9.60111 + 1.85046i 0.628990 + 0.121228i 0.493777 0.869589i \(-0.335616\pi\)
0.135213 + 0.990817i \(0.456828\pi\)
\(234\) 2.20052 1.13445i 0.143853 0.0741612i
\(235\) −0.384373 0.302275i −0.0250738 0.0197182i
\(236\) 13.9364 + 7.18471i 0.907182 + 0.467685i
\(237\) 4.42770 + 9.69532i 0.287610 + 0.629778i
\(238\) 12.9176 + 9.33550i 0.837325 + 0.605131i
\(239\) 1.39668 + 9.71411i 0.0903436 + 0.628354i 0.983809 + 0.179221i \(0.0573578\pi\)
−0.893465 + 0.449132i \(0.851733\pi\)
\(240\) 0.596734 0.0569812i 0.0385190 0.00367812i
\(241\) 0.821030 3.38433i 0.0528872 0.218004i −0.939236 0.343273i \(-0.888464\pi\)
0.992123 + 0.125269i \(0.0399795\pi\)
\(242\) 4.46033 18.3857i 0.286721 1.18188i
\(243\) −0.995472 + 0.0950560i −0.0638596 + 0.00609785i
\(244\) 1.74857 + 12.1615i 0.111940 + 0.778563i
\(245\) 0.124268 + 0.959434i 0.00793917 + 0.0612960i
\(246\) 3.26855 + 7.15712i 0.208395 + 0.456321i
\(247\) 5.36396 + 2.76531i 0.341301 + 0.175953i
\(248\) 0.541093 + 0.425520i 0.0343594 + 0.0270205i
\(249\) −10.1136 + 5.21394i −0.640925 + 0.330420i
\(250\) 2.64528 + 0.509837i 0.167302 + 0.0322449i
\(251\) −17.3043 5.08100i −1.09224 0.320710i −0.314473 0.949266i \(-0.601828\pi\)
−0.777764 + 0.628557i \(0.783646\pi\)
\(252\) −4.67203 + 1.09886i −0.294310 + 0.0692219i
\(253\) −2.18254 + 5.04254i −0.137215 + 0.317022i
\(254\) 9.20163 + 15.9377i 0.577362 + 1.00002i
\(255\) −0.308530 + 0.294183i −0.0193209 + 0.0184224i
\(256\) −6.06666 17.5285i −0.379166 1.09553i
\(257\) −0.989989 + 20.7824i −0.0617538 + 1.29637i 0.729117 + 0.684389i \(0.239931\pi\)
−0.790871 + 0.611983i \(0.790372\pi\)
\(258\) −1.79761 + 12.5027i −0.111914 + 0.778382i
\(259\) 14.3446 + 3.58643i 0.891329 + 0.222850i
\(260\) 0.132030 + 0.289105i 0.00818814 + 0.0179295i
\(261\) −1.73008 + 4.99873i −0.107089 + 0.309414i
\(262\) 7.68840 + 3.07797i 0.474991 + 0.190158i
\(263\) 5.64492 + 7.92718i 0.348081 + 0.488811i 0.951086 0.308926i \(-0.0999696\pi\)
−0.603005 + 0.797737i \(0.706030\pi\)
\(264\) 0.301124 + 0.287122i 0.0185329 + 0.0176711i
\(265\) 1.36924 0.402045i 0.0841118 0.0246974i
\(266\) −18.4765 16.2378i −1.13287 0.995601i
\(267\) −0.471566 3.27981i −0.0288593 0.200721i
\(268\) 2.45129 7.08253i 0.149736 0.432635i
\(269\) 6.66152 + 0.636098i 0.406160 + 0.0387836i 0.296137 0.955145i \(-0.404301\pi\)
0.110023 + 0.993929i \(0.464908\pi\)
\(270\) −0.0128429 0.269607i −0.000781597 0.0164077i
\(271\) −19.4446 + 7.78445i −1.18118 + 0.472872i −0.877348 0.479855i \(-0.840689\pi\)
−0.303829 + 0.952727i \(0.598265\pi\)
\(272\) 11.2548 + 7.23302i 0.682422 + 0.438566i
\(273\) 1.79351 + 2.83417i 0.108548 + 0.171532i
\(274\) 21.5704 + 6.33363i 1.30311 + 0.382629i
\(275\) 2.85332 + 4.94209i 0.172062 + 0.298019i
\(276\) −5.18656 6.98479i −0.312194 0.420435i
\(277\) −11.2532 + 19.4911i −0.676139 + 1.17111i 0.299995 + 0.953941i \(0.403015\pi\)
−0.976134 + 0.217167i \(0.930318\pi\)
\(278\) −2.85776 11.7798i −0.171397 0.706507i
\(279\) 1.24129 1.43253i 0.0743142 0.0857632i
\(280\) 0.0242181 + 0.130565i 0.00144731 + 0.00780277i
\(281\) 0.958033 6.66326i 0.0571514 0.397497i −0.941087 0.338165i \(-0.890194\pi\)
0.998238 0.0593320i \(-0.0188971\pi\)
\(282\) 6.14167 + 3.16625i 0.365731 + 0.188547i
\(283\) 2.49959 + 0.238682i 0.148585 + 0.0141882i 0.169084 0.985602i \(-0.445919\pi\)
−0.0204983 + 0.999790i \(0.506525\pi\)
\(284\) 4.80382 0.925860i 0.285054 0.0549397i
\(285\) 0.517171 0.406708i 0.0306346 0.0240913i
\(286\) −1.17831 + 2.58014i −0.0696749 + 0.152567i
\(287\) −9.26828 + 5.26492i −0.547090 + 0.310778i
\(288\) −7.43061 + 2.18182i −0.437853 + 0.128565i
\(289\) 7.45179 0.711560i 0.438341 0.0418564i
\(290\) −1.32547 0.530639i −0.0778344 0.0311602i
\(291\) −16.8294 + 3.24360i −0.986558 + 0.190143i
\(292\) −12.1208 + 17.0213i −0.709317 + 0.996096i
\(293\) −25.4897 + 16.3813i −1.48913 + 0.957003i −0.492911 + 0.870079i \(0.664067\pi\)
−0.996215 + 0.0869240i \(0.972296\pi\)
\(294\) −4.29002 12.9801i −0.250199 0.757017i
\(295\) −1.00493 0.645831i −0.0585094 0.0376017i
\(296\) 1.99287 + 0.384095i 0.115833 + 0.0223251i
\(297\) 0.829185 0.790626i 0.0481142 0.0458768i
\(298\) 7.78261 13.4799i 0.450834 0.780868i
\(299\) −3.42719 + 5.02155i −0.198199 + 0.290404i
\(300\) −9.03559 −0.521670
\(301\) −17.0865 0.933808i −0.984851 0.0538238i
\(302\) −23.3180 + 26.9105i −1.34180 + 1.54852i
\(303\) −0.343666 + 7.21444i −0.0197431 + 0.414459i
\(304\) −16.2303 12.7637i −0.930872 0.732046i
\(305\) −0.0445405 0.935020i −0.00255038 0.0535391i
\(306\) 3.49424 4.90697i 0.199752 0.280513i
\(307\) 8.46493 + 9.76905i 0.483119 + 0.557549i 0.944014 0.329906i \(-0.107017\pi\)
−0.460895 + 0.887455i \(0.652472\pi\)
\(308\) 3.42931 4.29848i 0.195403 0.244929i
\(309\) −2.84824 + 6.23677i −0.162031 + 0.354797i
\(310\) 0.370277 + 0.353059i 0.0210303 + 0.0200524i
\(311\) 6.04579 24.9211i 0.342825 1.41314i −0.495800 0.868437i \(-0.665125\pi\)
0.838626 0.544708i \(-0.183360\pi\)
\(312\) 0.267040 + 0.375005i 0.0151182 + 0.0212305i
\(313\) 1.72409 1.35584i 0.0974511 0.0766364i −0.568245 0.822860i \(-0.692377\pi\)
0.665696 + 0.746223i \(0.268135\pi\)
\(314\) −12.9969 14.9992i −0.733457 0.846455i
\(315\) 0.362294 0.0495051i 0.0204130 0.00278929i
\(316\) 16.2657 10.4533i 0.915015 0.588045i
\(317\) 23.3760 9.35834i 1.31293 0.525617i 0.393662 0.919255i \(-0.371208\pi\)
0.919265 + 0.393638i \(0.128784\pi\)
\(318\) −17.9235 + 9.24020i −1.00510 + 0.518165i
\(319\) −1.98216 5.72707i −0.110979 0.320654i
\(320\) −0.210152 0.866260i −0.0117479 0.0484254i
\(321\) −11.3495 −0.633469
\(322\) 18.5165 16.4682i 1.03188 0.917739i
\(323\) 14.6839 0.817034
\(324\) 0.427678 + 1.76291i 0.0237599 + 0.0979396i
\(325\) 2.06518 + 5.96694i 0.114555 + 0.330986i
\(326\) −11.3623 + 5.85767i −0.629299 + 0.324426i
\(327\) 1.24554 0.498639i 0.0688785 0.0275748i
\(328\) −1.23084 + 0.791011i −0.0679616 + 0.0436763i
\(329\) −3.53985 + 8.66587i −0.195158 + 0.477765i
\(330\) 0.202509 + 0.233708i 0.0111477 + 0.0128652i
\(331\) 5.37900 4.23009i 0.295657 0.232507i −0.459301 0.888281i \(-0.651900\pi\)
0.754957 + 0.655774i \(0.227658\pi\)
\(332\) 11.9731 + 16.8138i 0.657107 + 0.922777i
\(333\) 1.31757 5.43110i 0.0722024 0.297622i
\(334\) −22.4438 21.4001i −1.22807 1.17096i
\(335\) −0.237203 + 0.519401i −0.0129598 + 0.0283779i
\(336\) −4.19036 10.6831i −0.228603 0.582809i
\(337\) −11.6917 13.4930i −0.636889 0.735009i 0.341932 0.939725i \(-0.388919\pi\)
−0.978822 + 0.204715i \(0.934373\pi\)
\(338\) 12.9063 18.1243i 0.702009 0.985833i
\(339\) 0.659979 + 13.8547i 0.0358451 + 0.752482i
\(340\) 0.607882 + 0.478043i 0.0329670 + 0.0259255i
\(341\) −0.103333 + 2.16923i −0.00559580 + 0.117470i
\(342\) −6.08828 + 7.02625i −0.329217 + 0.379936i
\(343\) 17.0044 7.33827i 0.918152 0.396229i
\(344\) −2.34880 −0.126639
\(345\) 0.342775 + 0.567302i 0.0184544 + 0.0305425i
\(346\) −14.7710 + 25.5842i −0.794095 + 1.37541i
\(347\) −2.20834 + 2.10565i −0.118550 + 0.113037i −0.747036 0.664784i \(-0.768524\pi\)
0.628486 + 0.777821i \(0.283675\pi\)
\(348\) 9.42229 + 1.81600i 0.505088 + 0.0973476i
\(349\) −5.46424 3.51165i −0.292494 0.187974i 0.386162 0.922431i \(-0.373801\pi\)
−0.678656 + 0.734457i \(0.737437\pi\)
\(350\) −2.26708 25.6365i −0.121180 1.37033i
\(351\) 1.06644 0.685362i 0.0569226 0.0365819i
\(352\) 5.14666 7.22747i 0.274318 0.385226i
\(353\) 13.0098 2.50743i 0.692441 0.133457i 0.169123 0.985595i \(-0.445906\pi\)
0.523317 + 0.852138i \(0.324694\pi\)
\(354\) 15.6709 + 6.27368i 0.832898 + 0.333442i
\(355\) −0.371036 + 0.0354297i −0.0196926 + 0.00188041i
\(356\) −5.76743 + 1.69347i −0.305673 + 0.0897537i
\(357\) 7.03882 + 4.12980i 0.372534 + 0.218572i
\(358\) 13.7195 30.0416i 0.725099 1.58775i
\(359\) −10.9667 + 8.62430i −0.578800 + 0.455173i −0.864139 0.503254i \(-0.832136\pi\)
0.285339 + 0.958427i \(0.407894\pi\)
\(360\) 0.0492838 0.00949867i 0.00259748 0.000500624i
\(361\) −3.64579 0.348131i −0.191884 0.0183227i
\(362\) −8.91994 4.59855i −0.468821 0.241694i
\(363\) 1.37866 9.58876i 0.0723606 0.503279i
\(364\) 4.62596 3.95208i 0.242466 0.207145i
\(365\) 1.04254 1.20315i 0.0545688 0.0629758i
\(366\) 3.11849 + 12.8546i 0.163006 + 0.671920i
\(367\) 4.80525 8.32294i 0.250832 0.434454i −0.712923 0.701242i \(-0.752629\pi\)
0.963755 + 0.266788i \(0.0859624\pi\)
\(368\) 14.7656 14.6514i 0.769709 0.763756i
\(369\) 2.01442 + 3.48907i 0.104866 + 0.181634i
\(370\) 1.44734 + 0.424977i 0.0752435 + 0.0220935i
\(371\) −14.6083 23.0846i −0.758427 1.19849i
\(372\) −2.89268 1.85901i −0.149979 0.0963854i
\(373\) 6.19634 2.48064i 0.320834 0.128443i −0.205655 0.978625i \(-0.565932\pi\)
0.526489 + 0.850182i \(0.323508\pi\)
\(374\) 0.328395 + 6.89385i 0.0169809 + 0.356473i
\(375\) 1.37318 + 0.131123i 0.0709109 + 0.00677117i
\(376\) −0.420247 + 1.21422i −0.0216726 + 0.0626188i
\(377\) −0.954310 6.63737i −0.0491494 0.341842i
\(378\) −4.89457 + 1.65577i −0.251749 + 0.0851634i
\(379\) −31.8172 + 9.34238i −1.63434 + 0.479886i −0.964821 0.262909i \(-0.915318\pi\)
−0.669520 + 0.742794i \(0.733500\pi\)
\(380\) −0.863794 0.823626i −0.0443117 0.0422511i
\(381\) 5.46603 + 7.67597i 0.280033 + 0.393252i
\(382\) −24.6207 9.85663i −1.25970 0.504309i
\(383\) 11.9135 34.4218i 0.608752 1.75887i −0.0414827 0.999139i \(-0.513208\pi\)
0.650234 0.759734i \(-0.274671\pi\)
\(384\) −1.20167 2.63129i −0.0613225 0.134278i
\(385\) −0.291216 + 0.301170i −0.0148417 + 0.0153491i
\(386\) 5.88438 40.9268i 0.299507 2.08312i
\(387\) −0.307747 + 6.46041i −0.0156437 + 0.328401i
\(388\) 10.1689 + 29.3812i 0.516250 + 1.49161i
\(389\) −2.08270 + 1.98585i −0.105597 + 0.100687i −0.741039 0.671462i \(-0.765667\pi\)
0.635442 + 0.772149i \(0.280818\pi\)
\(390\) 0.171082 + 0.296323i 0.00866307 + 0.0150049i
\(391\) −1.81321 + 14.6813i −0.0916977 + 0.742467i
\(392\) 2.27559 1.13312i 0.114935 0.0572313i
\(393\) 4.06878 + 1.19470i 0.205243 + 0.0602648i
\(394\) 27.3368 + 5.26874i 1.37721 + 0.265435i
\(395\) −1.30932 + 0.675004i −0.0658793 + 0.0339631i
\(396\) −1.63370 1.28476i −0.0820967 0.0645615i
\(397\) 10.9125 + 5.62581i 0.547685 + 0.282351i 0.709779 0.704424i \(-0.248795\pi\)
−0.162094 + 0.986775i \(0.551825\pi\)
\(398\) −16.0804 35.2112i −0.806039 1.76498i
\(399\) −10.2083 7.37749i −0.511054 0.369336i
\(400\) −3.07454 21.3839i −0.153727 1.06919i
\(401\) −18.5912 + 1.77524i −0.928398 + 0.0886513i −0.548288 0.836290i \(-0.684720\pi\)
−0.380111 + 0.924941i \(0.624114\pi\)
\(402\) 1.90226 7.84120i 0.0948759 0.391084i
\(403\) −0.566506 + 2.33517i −0.0282197 + 0.116323i
\(404\) 13.0429 1.24544i 0.648906 0.0619630i
\(405\) −0.0196689 0.136800i −0.000977355 0.00679765i
\(406\) −2.78838 + 27.1893i −0.138385 + 1.34938i
\(407\) 2.65987 + 5.82430i 0.131845 + 0.288700i
\(408\) 0.995645 + 0.513291i 0.0492918 + 0.0254117i
\(409\) 26.4210 + 20.7777i 1.30643 + 1.02739i 0.997074 + 0.0764450i \(0.0243570\pi\)
0.309359 + 0.950945i \(0.399885\pi\)
\(410\) −0.966548 + 0.498290i −0.0477344 + 0.0246088i
\(411\) 11.3032 + 2.17852i 0.557548 + 0.107458i
\(412\) 11.9340 + 3.50413i 0.587944 + 0.172636i
\(413\) −6.59606 + 21.8961i −0.324571 + 1.07744i
\(414\) −6.27323 6.95484i −0.308312 0.341812i
\(415\) −0.786295 1.36190i −0.0385977 0.0668532i
\(416\) 7.10514 6.77474i 0.348358 0.332159i
\(417\) −2.03003 5.86538i −0.0994109 0.287229i
\(418\) 0.506827 10.6396i 0.0247897 0.520401i
\(419\) −2.08324 + 14.4892i −0.101773 + 0.707845i 0.873497 + 0.486829i \(0.161846\pi\)
−0.975270 + 0.221016i \(0.929063\pi\)
\(420\) −0.182423 0.637749i −0.00890131 0.0311190i
\(421\) −13.2476 29.0083i −0.645651 1.41378i −0.895310 0.445444i \(-0.853046\pi\)
0.249659 0.968334i \(-0.419682\pi\)
\(422\) 10.6796 30.8567i 0.519876 1.50208i
\(423\) 3.28467 + 1.31498i 0.159706 + 0.0639367i
\(424\) −2.17507 3.05446i −0.105631 0.148338i
\(425\) 11.1192 + 10.6022i 0.539363 + 0.514281i
\(426\) 5.05350 1.48384i 0.244843 0.0718924i
\(427\) −16.9748 + 5.74234i −0.821468 + 0.277891i
\(428\) 2.93006 + 20.3790i 0.141630 + 0.985058i
\(429\) −0.475031 + 1.37251i −0.0229347 + 0.0662655i
\(430\) −1.73782 0.165941i −0.0838050 0.00800241i
\(431\) −1.34777 28.2931i −0.0649197 1.36283i −0.762808 0.646625i \(-0.776180\pi\)
0.697888 0.716207i \(-0.254123\pi\)
\(432\) −4.02663 + 1.61202i −0.193732 + 0.0775584i
\(433\) 34.5124 + 22.1798i 1.65856 + 1.06589i 0.920171 + 0.391516i \(0.128049\pi\)
0.738388 + 0.674376i \(0.235587\pi\)
\(434\) 4.54875 8.67378i 0.218347 0.416355i
\(435\) −0.701454 0.205965i −0.0336321 0.00987529i
\(436\) −1.21690 2.10774i −0.0582791 0.100942i
\(437\) 4.93955 22.2898i 0.236291 1.06627i
\(438\) −11.2480 + 19.4821i −0.537450 + 0.930891i
\(439\) 3.09849 + 12.7721i 0.147883 + 0.609581i 0.996720 + 0.0809268i \(0.0257880\pi\)
−0.848837 + 0.528654i \(0.822697\pi\)
\(440\) −0.0376570 + 0.0434585i −0.00179523 + 0.00207180i
\(441\) −2.81851 6.40750i −0.134215 0.305119i
\(442\) −1.08678 + 7.55875i −0.0516931 + 0.359533i
\(443\) −8.86582 4.57065i −0.421228 0.217158i 0.234563 0.972101i \(-0.424634\pi\)
−0.655790 + 0.754943i \(0.727664\pi\)
\(444\) −10.0921 0.963683i −0.478952 0.0457344i
\(445\) 0.449678 0.0866683i 0.0213168 0.00410847i
\(446\) 25.4560 20.0188i 1.20537 0.947917i
\(447\) 3.31089 7.24983i 0.156600 0.342905i
\(448\) −14.8374 + 8.42848i −0.700999 + 0.398208i
\(449\) −16.9686 + 4.98242i −0.800796 + 0.235135i −0.656427 0.754389i \(-0.727933\pi\)
−0.144368 + 0.989524i \(0.546115\pi\)
\(450\) −9.68344 + 0.924657i −0.456482 + 0.0435887i
\(451\) −4.28521 1.71554i −0.201783 0.0807815i
\(452\) 24.7068 4.76185i 1.16211 0.223978i
\(453\) −10.5760 + 14.8519i −0.496903 + 0.697802i
\(454\) −16.4132 + 10.5481i −0.770310 + 0.495048i
\(455\) −0.379463 + 0.266233i −0.0177895 + 0.0124812i
\(456\) −1.45437 0.934665i −0.0681070 0.0437697i
\(457\) 12.0727 + 2.32683i 0.564738 + 0.108844i 0.463627 0.886031i \(-0.346548\pi\)
0.101112 + 0.994875i \(0.467760\pi\)
\(458\) −17.2633 + 16.4605i −0.806660 + 0.769149i
\(459\) 1.54226 2.67128i 0.0719867 0.124685i
\(460\) 0.930145 0.761939i 0.0433682 0.0355256i
\(461\) 28.1933 1.31309 0.656546 0.754286i \(-0.272017\pi\)
0.656546 + 0.754286i \(0.272017\pi\)
\(462\) 3.23531 4.95762i 0.150520 0.230649i
\(463\) 8.54659 9.86329i 0.397194 0.458386i −0.521561 0.853214i \(-0.674650\pi\)
0.918755 + 0.394828i \(0.129196\pi\)
\(464\) −1.09167 + 22.9170i −0.0506795 + 1.06389i
\(465\) 0.205924 + 0.161940i 0.00954949 + 0.00750980i
\(466\) −0.908608 19.0740i −0.0420905 0.883588i
\(467\) −8.91197 + 12.5151i −0.412397 + 0.579130i −0.967570 0.252605i \(-0.918713\pi\)
0.555173 + 0.831735i \(0.312652\pi\)
\(468\) −1.50595 1.73795i −0.0696123 0.0803369i
\(469\) 10.8085 + 1.63130i 0.499091 + 0.0753266i
\(470\) −0.396713 + 0.868681i −0.0182990 + 0.0400693i
\(471\) −7.35490 7.01288i −0.338896 0.323137i
\(472\) −0.740019 + 3.05040i −0.0340621 + 0.140406i
\(473\) −4.29829 6.03610i −0.197636 0.277540i
\(474\) 16.3622 12.8674i 0.751540 0.591017i
\(475\) −15.5278 17.9200i −0.712463 0.822227i
\(476\) 5.59822 13.7050i 0.256594 0.628166i
\(477\) −8.68631 + 5.58235i −0.397719 + 0.255598i
\(478\) 17.7934 7.12341i 0.813852 0.325817i
\(479\) −24.6242 + 12.6946i −1.12511 + 0.580033i −0.917324 0.398142i \(-0.869655\pi\)
−0.207783 + 0.978175i \(0.566625\pi\)
\(480\) −0.350066 1.01145i −0.0159783 0.0461662i
\(481\) 1.67026 + 6.88492i 0.0761575 + 0.313925i
\(482\) −6.80118 −0.309785
\(483\) 8.63674 9.29552i 0.392985 0.422961i
\(484\) −17.5733 −0.798788
\(485\) −0.558453 2.30198i −0.0253581 0.104527i
\(486\) 0.638750 + 1.84555i 0.0289743 + 0.0837157i
\(487\) 2.73520 1.41010i 0.123944 0.0638975i −0.395139 0.918621i \(-0.629304\pi\)
0.519083 + 0.854724i \(0.326273\pi\)
\(488\) −2.28348 + 0.914169i −0.103368 + 0.0413825i
\(489\) −5.50654 + 3.53884i −0.249014 + 0.160032i
\(490\) 1.76370 0.677598i 0.0796759 0.0306108i
\(491\) 10.2793 + 11.8630i 0.463899 + 0.535368i 0.938705 0.344722i \(-0.112027\pi\)
−0.474805 + 0.880091i \(0.657482\pi\)
\(492\) 5.74487 4.51781i 0.258999 0.203679i
\(493\) −9.46427 13.2907i −0.426249 0.598583i
\(494\) 2.77860 11.4535i 0.125015 0.515319i
\(495\) 0.114599 + 0.109270i 0.00515085 + 0.00491132i
\(496\) 3.41530 7.47847i 0.153352 0.335793i
\(497\) 2.60547 + 6.64249i 0.116871 + 0.297957i
\(498\) 14.5522 + 16.7941i 0.652098 + 0.752561i
\(499\) −0.719406 + 1.01026i −0.0322051 + 0.0452257i −0.830365 0.557221i \(-0.811868\pi\)
0.798159 + 0.602446i \(0.205807\pi\)
\(500\) −0.119067 2.49952i −0.00532482 0.111782i
\(501\) −12.4818 9.81577i −0.557644 0.438536i
\(502\) −1.67590 + 35.1814i −0.0747989 + 1.57022i
\(503\) −21.9198 + 25.2968i −0.977355 + 1.12793i 0.0144148 + 0.999896i \(0.495411\pi\)
−0.991770 + 0.128032i \(0.959134\pi\)
\(504\) −0.434288 0.857074i −0.0193447 0.0381771i
\(505\) −0.998216 −0.0444200
\(506\) 10.5752 + 1.82055i 0.470124 + 0.0809331i
\(507\) 5.69649 9.86660i 0.252990 0.438191i
\(508\) 12.3717 11.7964i 0.548905 0.523380i
\(509\) −4.18719 0.807014i −0.185594 0.0357703i 0.0956073 0.995419i \(-0.469521\pi\)
−0.281201 + 0.959649i \(0.590733\pi\)
\(510\) 0.700388 + 0.450112i 0.0310137 + 0.0199313i
\(511\) −27.6329 12.8540i −1.22241 0.568626i
\(512\) −25.6072 + 16.4567i −1.13169 + 0.727292i
\(513\) −2.76136 + 3.87779i −0.121917 + 0.171209i
\(514\) 39.8990 7.68990i 1.75987 0.339187i
\(515\) −0.879718 0.352186i −0.0387650 0.0155192i
\(516\) 11.6797 1.11527i 0.514168 0.0490971i
\(517\) −3.88943 + 1.14204i −0.171057 + 0.0502269i
\(518\) 0.202063 28.8760i 0.00887812 1.26874i
\(519\) −6.28391 + 13.7598i −0.275833 + 0.603990i
\(520\) −0.0500135 + 0.0393311i −0.00219324 + 0.00172478i
\(521\) 8.57252 1.65222i 0.375569 0.0723849i 0.00202608 0.999998i \(-0.499355\pi\)
0.373543 + 0.927613i \(0.378143\pi\)
\(522\) 10.2837 + 0.981975i 0.450106 + 0.0429799i
\(523\) −14.3698 7.40814i −0.628347 0.323935i 0.114473 0.993426i \(-0.463482\pi\)
−0.742820 + 0.669491i \(0.766512\pi\)
\(524\) 1.09477 7.61427i 0.0478251 0.332631i
\(525\) −2.40339 12.9572i −0.104892 0.565499i
\(526\) 12.4460 14.3634i 0.542671 0.626275i
\(527\) 1.37842 + 5.68193i 0.0600450 + 0.247509i
\(528\) 2.48465 4.30353i 0.108130 0.187287i
\(529\) 21.6760 + 7.69109i 0.942433 + 0.334395i
\(530\) −1.39348 2.41358i −0.0605289 0.104839i
\(531\) 8.29320 + 2.43510i 0.359894 + 0.105674i
\(532\) −10.6115 + 20.2345i −0.460065 + 0.877275i
\(533\) −4.29653 2.76121i −0.186103 0.119601i
\(534\) −6.00766 + 2.40510i −0.259977 + 0.104079i
\(535\) −0.0746362 1.56681i −0.00322680 0.0677390i
\(536\) 1.49359 + 0.142620i 0.0645132 + 0.00616027i
\(537\) 5.53098 15.9807i 0.238679 0.689618i
\(538\) −1.85989 12.9358i −0.0801856 0.557703i
\(539\) 7.07627 + 3.77434i 0.304797 + 0.162572i
\(540\) −0.240558 + 0.0706343i −0.0103520 + 0.00303961i
\(541\) −20.0021 19.0720i −0.859957 0.819967i 0.125109 0.992143i \(-0.460072\pi\)
−0.985066 + 0.172176i \(0.944920\pi\)
\(542\) 23.7270 + 33.3199i 1.01916 + 1.43121i
\(543\) −4.77054 1.90984i −0.204723 0.0819589i
\(544\) 7.81285 22.5737i 0.334973 0.967841i
\(545\) 0.0770281 + 0.168668i 0.00329952 + 0.00722495i
\(546\) 4.55321 4.70885i 0.194859 0.201520i
\(547\) −5.48200 + 38.1281i −0.234393 + 1.63024i 0.444342 + 0.895857i \(0.353438\pi\)
−0.678735 + 0.734383i \(0.737471\pi\)
\(548\) 0.993604 20.8583i 0.0424447 0.891023i
\(549\) 2.21524 + 6.40052i 0.0945442 + 0.273168i
\(550\) 8.06589 7.69081i 0.343931 0.327937i
\(551\) 12.5907 + 21.8078i 0.536382 + 0.929042i
\(552\) 1.11409 1.33870i 0.0474188 0.0569788i
\(553\) 19.3168 + 20.5448i 0.821433 + 0.873653i
\(554\) 42.1736 + 12.3833i 1.79179 + 0.526116i
\(555\) 0.758429 + 0.146175i 0.0321935 + 0.00620480i
\(556\) −10.0077 + 5.15932i −0.424421 + 0.218804i
\(557\) 7.96254 + 6.26181i 0.337383 + 0.265321i 0.772448 0.635078i \(-0.219032\pi\)
−0.435065 + 0.900399i \(0.643274\pi\)
\(558\) −3.29033 1.69628i −0.139291 0.0718094i
\(559\) −3.40601 7.45813i −0.144059 0.315445i
\(560\) 1.44724 0.648733i 0.0611572 0.0274140i
\(561\) 0.502934 + 3.49799i 0.0212339 + 0.147685i
\(562\) −13.0874 + 1.24969i −0.552057 + 0.0527151i
\(563\) −3.53934 + 14.5894i −0.149165 + 0.614868i 0.847319 + 0.531085i \(0.178215\pi\)
−0.996484 + 0.0837832i \(0.973300\pi\)
\(564\) 1.51317 6.23738i 0.0637161 0.262641i
\(565\) −1.90830 + 0.182221i −0.0802828 + 0.00766607i
\(566\) −0.697884 4.85389i −0.0293343 0.204024i
\(567\) −2.41429 + 1.08222i −0.101391 + 0.0454489i
\(568\) 0.406850 + 0.890877i 0.0170710 + 0.0373804i
\(569\) 13.7152 + 7.07069i 0.574972 + 0.296419i 0.721082 0.692850i \(-0.243645\pi\)
−0.146110 + 0.989268i \(0.546675\pi\)
\(570\) −1.01001 0.794284i −0.0423048 0.0332689i
\(571\) 8.75026 4.51107i 0.366187 0.188782i −0.265306 0.964164i \(-0.585473\pi\)
0.631493 + 0.775382i \(0.282443\pi\)
\(572\) 2.58710 + 0.498622i 0.108172 + 0.0208484i
\(573\) −13.0295 3.82581i −0.544316 0.159826i
\(574\) 14.2597 + 15.1662i 0.595189 + 0.633026i
\(575\) 19.8343 13.3123i 0.827147 0.555159i
\(576\) 3.22483 + 5.58557i 0.134368 + 0.232732i
\(577\) −18.3041 + 17.4530i −0.762011 + 0.726576i −0.967717 0.252038i \(-0.918899\pi\)
0.205707 + 0.978614i \(0.434051\pi\)
\(578\) −4.78148 13.8152i −0.198883 0.574636i
\(579\) 1.00739 21.1478i 0.0418659 0.878873i
\(580\) −0.188737 + 1.31269i −0.00783686 + 0.0545066i
\(581\) −20.9266 + 21.6419i −0.868181 + 0.897858i
\(582\) 13.9048 + 30.4472i 0.576372 + 1.26208i
\(583\) 3.86918 11.1793i 0.160245 0.462997i
\(584\) −3.88353 1.55473i −0.160702 0.0643353i
\(585\) 0.101628 + 0.142716i 0.00420178 + 0.00590058i
\(586\) 42.8263 + 40.8348i 1.76914 + 1.68687i
\(587\) 37.4782 11.0046i 1.54689 0.454208i 0.606720 0.794915i \(-0.292485\pi\)
0.940169 + 0.340708i \(0.110667\pi\)
\(588\) −10.7775 + 6.71507i −0.444459 + 0.276925i
\(589\) −1.28419 8.93171i −0.0529140 0.368025i
\(590\) −0.763029 + 2.20463i −0.0314134 + 0.0907631i
\(591\) 14.1907 + 1.35505i 0.583728 + 0.0557392i
\(592\) −1.15337 24.2123i −0.0474033 0.995118i
\(593\) −22.4458 + 8.98595i −0.921739 + 0.369009i −0.783501 0.621390i \(-0.786568\pi\)
−0.138238 + 0.990399i \(0.544144\pi\)
\(594\) −1.88232 1.20969i −0.0772323 0.0496342i
\(595\) −0.523832 + 0.998869i −0.0214750 + 0.0409496i
\(596\) −13.8724 4.07331i −0.568237 0.166849i
\(597\) −9.91043 17.1654i −0.405607 0.702532i
\(598\) 11.1084 + 4.19242i 0.454257 + 0.171441i
\(599\) −1.82127 + 3.15454i −0.0744153 + 0.128891i −0.900832 0.434168i \(-0.857042\pi\)
0.826417 + 0.563059i \(0.190376\pi\)
\(600\) −0.426452 1.75786i −0.0174098 0.0717643i
\(601\) 21.0350 24.2757i 0.858036 0.990226i −0.141964 0.989872i \(-0.545342\pi\)
1.00000 0.000354186i \(-0.000112741\pi\)
\(602\) 6.09483 + 32.8586i 0.248407 + 1.33922i
\(603\) 0.587974 4.08945i 0.0239441 0.166535i
\(604\) 29.3982 + 15.1558i 1.19619 + 0.616681i
\(605\) 1.33280 + 0.127267i 0.0541859 + 0.00517413i
\(606\) 13.8506 2.66948i 0.562641 0.108440i
\(607\) 5.14919 4.04936i 0.208999 0.164359i −0.508173 0.861255i \(-0.669679\pi\)
0.717172 + 0.696897i \(0.245436\pi\)
\(608\) −15.3150 + 33.5352i −0.621106 + 1.36003i
\(609\) −0.0979298 + 13.9948i −0.00396832 + 0.567097i
\(610\) −1.75407 + 0.515042i −0.0710204 + 0.0208535i
\(611\) −4.46491 + 0.426347i −0.180631 + 0.0172481i
\(612\) −5.19467 2.07963i −0.209982 0.0840641i
\(613\) −5.02572 + 0.968628i −0.202987 + 0.0391225i −0.289731 0.957108i \(-0.593566\pi\)
0.0867442 + 0.996231i \(0.472354\pi\)
\(614\) 14.6433 20.5636i 0.590954 0.829879i
\(615\) −0.468420 + 0.301036i −0.0188885 + 0.0121389i
\(616\) 0.998116 + 0.464292i 0.0402152 + 0.0187069i
\(617\) −25.9658 16.6872i −1.04534 0.671802i −0.0990408 0.995083i \(-0.531577\pi\)
−0.946303 + 0.323282i \(0.895214\pi\)
\(618\) 13.1482 + 2.53411i 0.528899 + 0.101937i
\(619\) 1.38992 1.32529i 0.0558657 0.0532679i −0.661632 0.749829i \(-0.730136\pi\)
0.717498 + 0.696561i \(0.245287\pi\)
\(620\) 0.237615 0.411561i 0.00954284 0.0165287i
\(621\) −3.53613 3.23972i −0.141900 0.130005i
\(622\) −50.0816 −2.00809
\(623\) −3.96255 7.82016i −0.158756 0.313308i
\(624\) 3.60066 4.15539i 0.144142 0.166349i
\(625\) 1.17593 24.6859i 0.0470373 0.987434i
\(626\) −3.36707 2.64789i −0.134575 0.105831i
\(627\) −0.259518 5.44795i −0.0103641 0.217570i
\(628\) −10.6934 + 15.0168i −0.426714 + 0.599236i
\(629\) 11.2887 + 13.0278i 0.450109 + 0.519454i
\(630\) −0.260766 0.664808i −0.0103892 0.0264866i
\(631\) 11.3449 24.8419i 0.451634 0.988941i −0.537681 0.843148i \(-0.680699\pi\)
0.989315 0.145793i \(-0.0465733\pi\)
\(632\) 2.80137 + 2.67110i 0.111432 + 0.106251i
\(633\) 3.94178 16.2483i 0.156672 0.645810i
\(634\) −28.5242 40.0567i −1.13284 1.59085i
\(635\) −1.02372 + 0.805066i −0.0406253 + 0.0319481i
\(636\) 12.2661 + 14.1558i 0.486382 + 0.561315i
\(637\) 6.89783 + 5.58250i 0.273302 + 0.221187i
\(638\) −9.95681 + 6.39885i −0.394194 + 0.253333i
\(639\) 2.50367 1.00232i 0.0990438 0.0396512i
\(640\) 0.355348 0.183195i 0.0140464 0.00724141i
\(641\) 10.5640 + 30.5226i 0.417253 + 1.20557i 0.936414 + 0.350896i \(0.114123\pi\)
−0.519162 + 0.854676i \(0.673756\pi\)
\(642\) 5.22564 + 21.5404i 0.206239 + 0.850131i
\(643\) 16.8111 0.662963 0.331482 0.943462i \(-0.392452\pi\)
0.331482 + 0.943462i \(0.392452\pi\)
\(644\) −18.9206 13.1082i −0.745576 0.516536i
\(645\) −0.893886 −0.0351967
\(646\) −6.76087 27.8687i −0.266003 1.09648i
\(647\) −8.39366 24.2519i −0.329989 0.953441i −0.980938 0.194319i \(-0.937750\pi\)
0.650949 0.759121i \(-0.274371\pi\)
\(648\) −0.322787 + 0.166408i −0.0126803 + 0.00653713i
\(649\) −9.19333 + 3.68045i −0.360870 + 0.144470i
\(650\) 10.3738 6.66686i 0.406895 0.261496i
\(651\) 1.89643 4.64264i 0.0743271 0.181960i
\(652\) 7.77588 + 8.97384i 0.304527 + 0.351443i
\(653\) −20.5888 + 16.1912i −0.805702 + 0.633611i −0.933657 0.358169i \(-0.883401\pi\)
0.127955 + 0.991780i \(0.459159\pi\)
\(654\) −1.51985 2.13433i −0.0594309 0.0834590i
\(655\) −0.138172 + 0.569554i −0.00539883 + 0.0222543i
\(656\) 12.6468 + 12.0587i 0.493774 + 0.470813i
\(657\) −4.78514 + 10.4780i −0.186686 + 0.408785i
\(658\) 18.0769 + 2.72830i 0.704709 + 0.106360i
\(659\) 5.72108 + 6.60248i 0.222862 + 0.257196i 0.856159 0.516712i \(-0.172844\pi\)
−0.633297 + 0.773909i \(0.718299\pi\)
\(660\) 0.166618 0.233982i 0.00648559 0.00910774i
\(661\) 2.04143 + 42.8549i 0.0794024 + 1.66686i 0.590273 + 0.807204i \(0.299020\pi\)
−0.510870 + 0.859658i \(0.670677\pi\)
\(662\) −10.5050 8.26120i −0.408287 0.321081i
\(663\) −0.186055 + 3.90578i −0.00722579 + 0.151688i
\(664\) −2.70601 + 3.12290i −0.105013 + 0.121192i
\(665\) 0.951334 1.45777i 0.0368911 0.0565301i
\(666\) −10.9144 −0.422923
\(667\) −23.3587 + 9.89563i −0.904451 + 0.383160i
\(668\) −14.4027 + 24.9461i −0.557256 + 0.965195i
\(669\) 12.0012 11.4431i 0.463992 0.442415i
\(670\) 1.09499 + 0.211042i 0.0423032 + 0.00815327i
\(671\) −6.52804 4.19531i −0.252012 0.161958i
\(672\) −16.7730 + 11.7680i −0.647033 + 0.453960i
\(673\) −26.0596 + 16.7475i −1.00452 + 0.645568i −0.935970 0.352080i \(-0.885475\pi\)
−0.0685532 + 0.997647i \(0.521838\pi\)
\(674\) −20.2252 + 28.4024i −0.779047 + 1.09402i
\(675\) −4.89089 + 0.942641i −0.188250 + 0.0362823i
\(676\) −19.1870 7.68130i −0.737960 0.295434i
\(677\) 19.4952 1.86156i 0.749261 0.0715457i 0.286562 0.958062i \(-0.407487\pi\)
0.462698 + 0.886516i \(0.346881\pi\)
\(678\) 25.9910 7.63164i 0.998178 0.293091i
\(679\) −39.4284 + 22.3976i −1.51312 + 0.859541i
\(680\) −0.0643125 + 0.140825i −0.00246627 + 0.00540038i
\(681\) −7.85281 + 6.17552i −0.300920 + 0.236646i
\(682\) 4.16457 0.802656i 0.159470 0.0307353i
\(683\) −44.9029 4.28771i −1.71816 0.164065i −0.811057 0.584967i \(-0.801107\pi\)
−0.907106 + 0.420903i \(0.861713\pi\)
\(684\) 7.67578 + 3.95714i 0.293491 + 0.151305i
\(685\) −0.226414 + 1.57474i −0.00865082 + 0.0601678i
\(686\) −21.7567 28.8940i −0.830673 1.10318i
\(687\) −7.99835 + 9.23059i −0.305156 + 0.352169i
\(688\) 6.61367 + 27.2619i 0.252144 + 1.03935i
\(689\) 6.54470 11.3358i 0.249333 0.431858i
\(690\) 0.918864 0.911757i 0.0349805 0.0347100i
\(691\) −10.3304 17.8927i −0.392986 0.680672i 0.599856 0.800108i \(-0.295225\pi\)
−0.992842 + 0.119436i \(0.961891\pi\)
\(692\) 26.3292 + 7.73096i 1.00089 + 0.293887i
\(693\) 1.40782 2.68450i 0.0534786 0.101976i
\(694\) 5.01310 + 3.22172i 0.190295 + 0.122295i
\(695\) 0.796368 0.318818i 0.0302080 0.0120934i
\(696\) 0.0914037 + 1.91880i 0.00346465 + 0.0727320i
\(697\) −12.3708 1.18127i −0.468577 0.0447437i
\(698\) −4.14891 + 11.9875i −0.157038 + 0.453733i
\(699\) −1.39153 9.67829i −0.0526324 0.366066i
\(700\) −22.6453 + 7.66059i −0.855911 + 0.289543i
\(701\) −8.57399 + 2.51755i −0.323835 + 0.0950866i −0.439610 0.898189i \(-0.644883\pi\)
0.115774 + 0.993276i \(0.463065\pi\)
\(702\) −1.79178 1.70845i −0.0676262 0.0644815i
\(703\) −15.4322 21.6715i −0.582038 0.817358i
\(704\) −6.86008 2.74636i −0.258549 0.103507i
\(705\) −0.159933 + 0.462097i −0.00602344 + 0.0174036i
\(706\) −10.7489 23.5369i −0.404541 0.885822i
\(707\) 5.25527 + 18.3724i 0.197645 + 0.690966i
\(708\) 2.23141 15.5198i 0.0838615 0.583269i
\(709\) 1.60981 33.7941i 0.0604578 1.26917i −0.741160 0.671328i \(-0.765724\pi\)
0.801618 0.597837i \(-0.203973\pi\)
\(710\) 0.238078 + 0.687880i 0.00893489 + 0.0258157i
\(711\) 7.71392 7.35521i 0.289295 0.275842i
\(712\) −0.601667 1.04212i −0.0225484 0.0390550i
\(713\) 9.08872 0.181051i 0.340375 0.00678043i
\(714\) 4.59712 15.2605i 0.172043 0.571110i
\(715\) −0.192600 0.0565523i −0.00720282 0.00211494i
\(716\) −30.1226 5.80566i −1.12573 0.216968i
\(717\) 8.72303 4.49704i 0.325768 0.167945i
\(718\) 21.4175 + 16.8429i 0.799294 + 0.628571i
\(719\) 32.2588 + 16.6306i 1.20305 + 0.620215i 0.938874 0.344260i \(-0.111870\pi\)
0.264175 + 0.964475i \(0.414900\pi\)
\(720\) −0.249020 0.545277i −0.00928042 0.0203213i
\(721\) −1.85066 + 18.0456i −0.0689221 + 0.672053i
\(722\) 1.01790 + 7.07966i 0.0378824 + 0.263478i
\(723\) −3.46673 + 0.331033i −0.128929 + 0.0123112i
\(724\) −2.19768 + 9.05895i −0.0816761 + 0.336673i
\(725\) −6.21160 + 25.6046i −0.230693 + 0.950930i
\(726\) −18.8334 + 1.79837i −0.698971 + 0.0667437i
\(727\) −2.38644 16.5981i −0.0885083 0.615589i −0.985003 0.172535i \(-0.944804\pi\)
0.896495 0.443054i \(-0.146105\pi\)
\(728\) 0.987203 + 0.713447i 0.0365882 + 0.0264421i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −2.76348 1.42467i −0.102281 0.0527295i
\(731\) −15.6817 12.3322i −0.580009 0.456124i
\(732\) 10.9208 5.63005i 0.403643 0.208093i
\(733\) −32.7915 6.32005i −1.21118 0.233436i −0.456618 0.889663i \(-0.650939\pi\)
−0.754564 + 0.656227i \(0.772152\pi\)
\(734\) −18.0087 5.28782i −0.664712 0.195177i
\(735\) 0.866022 0.431233i 0.0319437 0.0159063i
\(736\) −31.6382 19.4533i −1.16620 0.717060i
\(737\) 2.36674 + 4.09931i 0.0871799 + 0.151000i
\(738\) 5.69444 5.42964i 0.209615 0.199868i
\(739\) −10.9439 31.6203i −0.402578 1.16317i −0.946127 0.323795i \(-0.895041\pi\)
0.543549 0.839377i \(-0.317080\pi\)
\(740\) 0.0666693 1.39956i 0.00245081 0.0514489i
\(741\) 0.858844 5.97339i 0.0315504 0.219438i
\(742\) −37.0864 + 38.3541i −1.36148 + 1.40802i
\(743\) 12.4266 + 27.2104i 0.455887 + 0.998254i 0.988406 + 0.151836i \(0.0485184\pi\)
−0.532519 + 0.846418i \(0.678754\pi\)
\(744\) 0.225143 0.650507i 0.00825413 0.0238487i
\(745\) 1.02261 + 0.409393i 0.0374657 + 0.0149990i
\(746\) −7.56099 10.6179i −0.276827 0.388750i
\(747\) 8.23502 + 7.85208i 0.301304 + 0.287292i
\(748\) 6.15109 1.80612i 0.224906 0.0660383i
\(749\) −28.4446 + 9.62241i −1.03934 + 0.351595i
\(750\) −0.383392 2.66655i −0.0139995 0.0973685i
\(751\) 2.36029 6.81961i 0.0861282 0.248851i −0.893710 0.448646i \(-0.851906\pi\)
0.979838 + 0.199795i \(0.0640276\pi\)
\(752\) 15.2765 + 1.45873i 0.557075 + 0.0531942i
\(753\) 0.858132 + 18.0144i 0.0312721 + 0.656481i
\(754\) −12.1577 + 4.86722i −0.442758 + 0.177254i
\(755\) −2.11986 1.36235i −0.0771495 0.0495810i
\(756\) 2.56650 + 4.05567i 0.0933427 + 0.147503i
\(757\) −16.6218 4.88059i −0.604128 0.177388i −0.0346570 0.999399i \(-0.511034\pi\)
−0.569471 + 0.822011i \(0.692852\pi\)
\(758\) 32.3805 + 56.0846i 1.17611 + 2.03709i
\(759\) 5.47904 + 0.413254i 0.198877 + 0.0150002i
\(760\) 0.119467 0.206922i 0.00433351 0.00750586i
\(761\) 8.84096 + 36.4429i 0.320485 + 1.32106i 0.873068 + 0.487598i \(0.162127\pi\)
−0.552584 + 0.833457i \(0.686358\pi\)
\(762\) 12.0516 13.9083i 0.436582 0.503843i
\(763\) 2.69885 2.30570i 0.0977050 0.0834720i
\(764\) −3.50579 + 24.3833i −0.126835 + 0.882157i
\(765\) 0.378913 + 0.195343i 0.0136996 + 0.00706265i
\(766\) −70.8147 6.76199i −2.55864 0.244321i
\(767\) −10.7590 + 2.07363i −0.388485 + 0.0748743i
\(768\) −14.5802 + 11.4660i −0.526118 + 0.413744i
\(769\) 21.2698 46.5743i 0.767007 1.67951i 0.0338739 0.999426i \(-0.489216\pi\)
0.733133 0.680085i \(-0.238057\pi\)
\(770\) 0.705677 + 0.414034i 0.0254308 + 0.0149207i
\(771\) 19.9632 5.86173i 0.718958 0.211105i
\(772\) −38.2327 + 3.65078i −1.37603 + 0.131395i