Properties

Label 690.2.w.b.7.3
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.3
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.b.493.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.619349 - 2.14858i) q^{5} +(0.142315 - 0.989821i) q^{6} +(-1.99507 + 3.65370i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.619349 - 2.14858i) q^{5} +(0.142315 - 0.989821i) q^{6} +(-1.99507 + 3.65370i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(0.771049 + 2.09892i) q^{10} +(1.81253 - 1.57056i) q^{11} +(-0.0713392 + 0.997452i) q^{12} +(-2.13024 + 1.16320i) q^{13} +(1.72934 - 3.78672i) q^{14} +(2.23113 - 0.148481i) q^{15} +(0.959493 - 0.281733i) q^{16} +(1.26206 + 1.68592i) q^{17} +(0.936950 + 0.349464i) q^{18} +(-0.707077 - 4.91783i) q^{19} +(-0.918820 - 2.03857i) q^{20} +(-3.14612 - 2.72613i) q^{21} +(-1.69587 + 1.69587i) q^{22} +(-0.560058 - 4.76302i) q^{23} -1.00000i q^{24} +(-4.23281 + 2.66144i) q^{25} +(2.04183 - 1.31221i) q^{26} +(0.599278 - 0.800541i) q^{27} +(-1.45479 + 3.90044i) q^{28} +(-3.75233 - 0.539504i) q^{29} +(-2.21486 + 0.307269i) q^{30} +(-8.69709 - 5.58928i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(1.14939 + 2.10495i) q^{33} +(-1.37912 - 1.59159i) q^{34} +(9.08592 + 2.02366i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-0.758926 - 2.03476i) q^{37} +(1.05611 + 4.85486i) q^{38} +(-0.683801 - 2.32881i) q^{39} +(1.06191 + 1.96783i) q^{40} +(3.56457 + 7.80531i) q^{41} +(3.33258 + 2.49474i) q^{42} +(0.874892 + 0.190321i) q^{43} +(1.57056 - 1.81253i) q^{44} +(-0.329174 + 2.21171i) q^{45} +(0.898421 + 4.71093i) q^{46} +(-5.40977 - 5.40977i) q^{47} +(0.0713392 + 0.997452i) q^{48} +(-5.58473 - 8.69001i) q^{49} +(4.03216 - 2.95663i) q^{50} +(-1.91566 + 0.874852i) q^{51} +(-1.94302 + 1.45452i) q^{52} +(-8.38229 - 4.57707i) q^{53} +(-0.540641 + 0.841254i) q^{54} +(-4.49707 - 2.92164i) q^{55} +(1.17283 - 3.99428i) q^{56} +(4.95574 + 0.354442i) q^{57} +(3.78126 + 0.270441i) q^{58} +(3.47547 - 11.8364i) q^{59} +(2.18729 - 0.464493i) q^{60} +(-6.51558 + 10.1384i) q^{61} +(9.07367 + 4.95460i) q^{62} +(3.33258 - 2.49474i) q^{63} +(0.909632 - 0.415415i) q^{64} +(3.81859 + 3.85657i) q^{65} +(-1.29663 - 2.01759i) q^{66} +(-0.779972 - 10.9054i) q^{67} +(1.48915 + 1.48915i) q^{68} +(4.77322 + 0.465193i) q^{69} +(-9.20714 - 1.37032i) q^{70} +(3.90649 - 4.50833i) q^{71} +(0.977147 + 0.212565i) q^{72} +(-5.19195 - 3.88665i) q^{73} +(0.902151 + 1.97543i) q^{74} +(-1.70087 - 4.70181i) q^{75} +(-1.39976 - 4.76715i) q^{76} +(2.12225 + 9.75581i) q^{77} +(0.848195 + 2.27410i) q^{78} +(0.848029 + 0.249004i) q^{79} +(-1.19959 - 1.88706i) q^{80} +(0.654861 + 0.755750i) q^{81} +(-4.11231 - 7.53113i) q^{82} +(-2.04613 + 0.763166i) q^{83} +(-3.50206 - 2.25064i) q^{84} +(2.84068 - 3.75582i) q^{85} +(-0.886240 - 0.127422i) q^{86} +(1.32479 - 3.55190i) q^{87} +(-1.43726 + 1.91995i) q^{88} +(-10.1999 + 6.55508i) q^{89} +(0.170554 - 2.22955i) q^{90} -10.1039i q^{91} +(-1.23221 - 4.63483i) q^{92} +(7.31025 - 7.31025i) q^{93} +(5.78191 + 5.01006i) q^{94} +(-10.1284 + 4.56506i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(13.2754 + 4.95146i) q^{97} +(6.19044 + 8.26946i) q^{98} +(-2.30117 + 0.675684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997452 + 0.0713392i −0.705305 + 0.0504444i
\(3\) −0.212565 + 0.977147i −0.122725 + 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −0.619349 2.14858i −0.276981 0.960875i
\(6\) 0.142315 0.989821i 0.0580998 0.404093i
\(7\) −1.99507 + 3.65370i −0.754066 + 1.38097i 0.164771 + 0.986332i \(0.447311\pi\)
−0.918837 + 0.394637i \(0.870870\pi\)
\(8\) −0.977147 + 0.212565i −0.345474 + 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 0.771049 + 2.09892i 0.243827 + 0.663738i
\(11\) 1.81253 1.57056i 0.546497 0.473543i −0.337310 0.941394i \(-0.609517\pi\)
0.883807 + 0.467851i \(0.154972\pi\)
\(12\) −0.0713392 + 0.997452i −0.0205938 + 0.287940i
\(13\) −2.13024 + 1.16320i −0.590822 + 0.322613i −0.746698 0.665163i \(-0.768362\pi\)
0.155876 + 0.987777i \(0.450180\pi\)
\(14\) 1.72934 3.78672i 0.462185 1.01204i
\(15\) 2.23113 0.148481i 0.576076 0.0383375i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) 1.26206 + 1.68592i 0.306095 + 0.408895i 0.927042 0.374957i \(-0.122343\pi\)
−0.620947 + 0.783853i \(0.713252\pi\)
\(18\) 0.936950 + 0.349464i 0.220841 + 0.0823695i
\(19\) −0.707077 4.91783i −0.162215 1.12823i −0.894447 0.447173i \(-0.852431\pi\)
0.732233 0.681054i \(-0.238478\pi\)
\(20\) −0.918820 2.03857i −0.205454 0.455838i
\(21\) −3.14612 2.72613i −0.686539 0.594890i
\(22\) −1.69587 + 1.69587i −0.361560 + 0.361560i
\(23\) −0.560058 4.76302i −0.116780 0.993158i
\(24\) 1.00000i 0.204124i
\(25\) −4.23281 + 2.66144i −0.846563 + 0.532289i
\(26\) 2.04183 1.31221i 0.400436 0.257345i
\(27\) 0.599278 0.800541i 0.115331 0.154064i
\(28\) −1.45479 + 3.90044i −0.274929 + 0.737114i
\(29\) −3.75233 0.539504i −0.696791 0.100183i −0.215188 0.976573i \(-0.569036\pi\)
−0.481603 + 0.876389i \(0.659945\pi\)
\(30\) −2.21486 + 0.307269i −0.404375 + 0.0560995i
\(31\) −8.69709 5.58928i −1.56204 1.00386i −0.981911 0.189344i \(-0.939364\pi\)
−0.580133 0.814521i \(-0.697000\pi\)
\(32\) −0.936950 + 0.349464i −0.165631 + 0.0617771i
\(33\) 1.14939 + 2.10495i 0.200083 + 0.366425i
\(34\) −1.37912 1.59159i −0.236517 0.272955i
\(35\) 9.08592 + 2.02366i 1.53580 + 0.342061i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) −0.758926 2.03476i −0.124767 0.334512i 0.859517 0.511107i \(-0.170765\pi\)
−0.984284 + 0.176595i \(0.943492\pi\)
\(38\) 1.05611 + 4.85486i 0.171324 + 0.787562i
\(39\) −0.683801 2.32881i −0.109496 0.372909i
\(40\) 1.06191 + 1.96783i 0.167903 + 0.311141i
\(41\) 3.56457 + 7.80531i 0.556692 + 1.21899i 0.953586 + 0.301121i \(0.0973607\pi\)
−0.396894 + 0.917864i \(0.629912\pi\)
\(42\) 3.33258 + 2.49474i 0.514229 + 0.384947i
\(43\) 0.874892 + 0.190321i 0.133420 + 0.0290237i 0.278779 0.960355i \(-0.410070\pi\)
−0.145359 + 0.989379i \(0.546434\pi\)
\(44\) 1.57056 1.81253i 0.236771 0.273249i
\(45\) −0.329174 + 2.21171i −0.0490704 + 0.329702i
\(46\) 0.898421 + 4.71093i 0.132465 + 0.694588i
\(47\) −5.40977 5.40977i −0.789096 0.789096i 0.192250 0.981346i \(-0.438422\pi\)
−0.981346 + 0.192250i \(0.938422\pi\)
\(48\) 0.0713392 + 0.997452i 0.0102969 + 0.143970i
\(49\) −5.58473 8.69001i −0.797819 1.24143i
\(50\) 4.03216 2.95663i 0.570234 0.418130i
\(51\) −1.91566 + 0.874852i −0.268246 + 0.122504i
\(52\) −1.94302 + 1.45452i −0.269448 + 0.201706i
\(53\) −8.38229 4.57707i −1.15140 0.628709i −0.213951 0.976844i \(-0.568633\pi\)
−0.937444 + 0.348135i \(0.886815\pi\)
\(54\) −0.540641 + 0.841254i −0.0735719 + 0.114480i
\(55\) −4.49707 2.92164i −0.606385 0.393953i
\(56\) 1.17283 3.99428i 0.156726 0.533759i
\(57\) 4.95574 + 0.354442i 0.656404 + 0.0469469i
\(58\) 3.78126 + 0.270441i 0.496504 + 0.0355107i
\(59\) 3.47547 11.8364i 0.452468 1.54097i −0.345590 0.938386i \(-0.612321\pi\)
0.798059 0.602580i \(-0.205861\pi\)
\(60\) 2.18729 0.464493i 0.282378 0.0599657i
\(61\) −6.51558 + 10.1384i −0.834235 + 1.29810i 0.118088 + 0.993003i \(0.462324\pi\)
−0.952323 + 0.305092i \(0.901313\pi\)
\(62\) 9.07367 + 4.95460i 1.15236 + 0.629235i
\(63\) 3.33258 2.49474i 0.419866 0.314308i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 3.81859 + 3.85657i 0.473638 + 0.478349i
\(66\) −1.29663 2.01759i −0.159604 0.248348i
\(67\) −0.779972 10.9054i −0.0952888 1.33231i −0.790037 0.613059i \(-0.789939\pi\)
0.694749 0.719253i \(-0.255516\pi\)
\(68\) 1.48915 + 1.48915i 0.180586 + 0.180586i
\(69\) 4.77322 + 0.465193i 0.574628 + 0.0560027i
\(70\) −9.20714 1.37032i −1.10046 0.163785i
\(71\) 3.90649 4.50833i 0.463615 0.535040i −0.475010 0.879981i \(-0.657555\pi\)
0.938625 + 0.344940i \(0.112101\pi\)
\(72\) 0.977147 + 0.212565i 0.115158 + 0.0250511i
\(73\) −5.19195 3.88665i −0.607672 0.454898i 0.250601 0.968090i \(-0.419372\pi\)
−0.858273 + 0.513193i \(0.828463\pi\)
\(74\) 0.902151 + 1.97543i 0.104873 + 0.229640i
\(75\) −1.70087 4.70181i −0.196400 0.542918i
\(76\) −1.39976 4.76715i −0.160564 0.546829i
\(77\) 2.12225 + 9.75581i 0.241853 + 1.11178i
\(78\) 0.848195 + 2.27410i 0.0960392 + 0.257491i
\(79\) 0.848029 + 0.249004i 0.0954107 + 0.0280151i 0.329089 0.944299i \(-0.393258\pi\)
−0.233679 + 0.972314i \(0.575076\pi\)
\(80\) −1.19959 1.88706i −0.134118 0.210980i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) −4.11231 7.53113i −0.454129 0.831674i
\(83\) −2.04613 + 0.763166i −0.224592 + 0.0837684i −0.459241 0.888312i \(-0.651879\pi\)
0.234649 + 0.972080i \(0.424606\pi\)
\(84\) −3.50206 2.25064i −0.382107 0.245565i
\(85\) 2.84068 3.75582i 0.308115 0.407375i
\(86\) −0.886240 0.127422i −0.0955657 0.0137403i
\(87\) 1.32479 3.55190i 0.142032 0.380804i
\(88\) −1.43726 + 1.91995i −0.153212 + 0.204667i
\(89\) −10.1999 + 6.55508i −1.08119 + 0.694837i −0.954831 0.297148i \(-0.903964\pi\)
−0.126356 + 0.991985i \(0.540328\pi\)
\(90\) 0.170554 2.22955i 0.0179780 0.235016i
\(91\) 10.1039i 1.05918i
\(92\) −1.23221 4.63483i −0.128466 0.483215i
\(93\) 7.31025 7.31025i 0.758038 0.758038i
\(94\) 5.78191 + 5.01006i 0.596359 + 0.516748i
\(95\) −10.1284 + 4.56506i −1.03916 + 0.468366i
\(96\) −0.142315 0.989821i −0.0145249 0.101023i
\(97\) 13.2754 + 4.95146i 1.34791 + 0.502744i 0.916725 0.399519i \(-0.130823\pi\)
0.431185 + 0.902264i \(0.358096\pi\)
\(98\) 6.19044 + 8.26946i 0.625329 + 0.835342i
\(99\) −2.30117 + 0.675684i −0.231276 + 0.0679088i
\(100\) −3.81097 + 3.23675i −0.381097 + 0.323675i
\(101\) 7.35927 16.1145i 0.732275 1.60346i −0.0635851 0.997976i \(-0.520253\pi\)
0.795860 0.605481i \(-0.207019\pi\)
\(102\) 1.84837 1.00929i 0.183016 0.0999341i
\(103\) −0.811754 + 11.3498i −0.0799845 + 1.11833i 0.785989 + 0.618240i \(0.212154\pi\)
−0.865974 + 0.500090i \(0.833300\pi\)
\(104\) 1.83430 1.58943i 0.179868 0.155857i
\(105\) −3.90877 + 8.44812i −0.381456 + 0.824452i
\(106\) 8.68745 + 3.96743i 0.843800 + 0.385351i
\(107\) 12.4593 2.71036i 1.20449 0.262020i 0.434850 0.900503i \(-0.356801\pi\)
0.769636 + 0.638483i \(0.220438\pi\)
\(108\) 0.479249 0.877679i 0.0461158 0.0844547i
\(109\) −0.155453 + 1.08120i −0.0148897 + 0.103560i −0.995911 0.0903398i \(-0.971205\pi\)
0.981021 + 0.193900i \(0.0621138\pi\)
\(110\) 4.69404 + 2.59338i 0.447559 + 0.247269i
\(111\) 2.14958 0.309063i 0.204029 0.0293350i
\(112\) −0.884891 + 4.06778i −0.0836143 + 0.384369i
\(113\) −17.9582 + 1.28440i −1.68936 + 0.120826i −0.882624 0.470080i \(-0.844225\pi\)
−0.806741 + 0.590905i \(0.798771\pi\)
\(114\) −4.96840 −0.465333
\(115\) −9.88687 + 4.15330i −0.921955 + 0.387297i
\(116\) −3.79092 −0.351978
\(117\) 2.42095 0.173149i 0.223816 0.0160077i
\(118\) −2.62222 + 12.0542i −0.241395 + 1.10968i
\(119\) −8.67774 + 1.24767i −0.795487 + 0.114374i
\(120\) −2.14858 + 0.619349i −0.196138 + 0.0565385i
\(121\) −0.746880 + 5.19466i −0.0678982 + 0.472242i
\(122\) 5.77572 10.5774i 0.522909 0.957636i
\(123\) −8.38464 + 1.82397i −0.756018 + 0.164462i
\(124\) −9.40401 4.29467i −0.844505 0.385672i
\(125\) 8.33992 + 7.44619i 0.745945 + 0.666007i
\(126\) −3.14612 + 2.72613i −0.280279 + 0.242863i
\(127\) −0.937327 + 13.1055i −0.0831743 + 1.16293i 0.768851 + 0.639428i \(0.220829\pi\)
−0.852025 + 0.523501i \(0.824626\pi\)
\(128\) −0.877679 + 0.479249i −0.0775766 + 0.0423600i
\(129\) −0.371943 + 0.814442i −0.0327478 + 0.0717076i
\(130\) −4.08399 3.57433i −0.358189 0.313490i
\(131\) −7.31640 + 2.14829i −0.639237 + 0.187697i −0.585260 0.810845i \(-0.699008\pi\)
−0.0539763 + 0.998542i \(0.517190\pi\)
\(132\) 1.43726 + 1.91995i 0.125097 + 0.167110i
\(133\) 19.3789 + 7.22797i 1.68037 + 0.626745i
\(134\) 1.55597 + 10.8220i 0.134415 + 0.934879i
\(135\) −2.09119 0.791783i −0.179981 0.0681459i
\(136\) −1.59159 1.37912i −0.136478 0.118258i
\(137\) −0.0816534 + 0.0816534i −0.00697612 + 0.00697612i −0.710586 0.703610i \(-0.751570\pi\)
0.703610 + 0.710586i \(0.251570\pi\)
\(138\) −4.79424 0.123491i −0.408113 0.0105122i
\(139\) 7.81204i 0.662608i 0.943524 + 0.331304i \(0.107489\pi\)
−0.943524 + 0.331304i \(0.892511\pi\)
\(140\) 9.28144 + 0.710002i 0.784425 + 0.0600061i
\(141\) 6.43607 4.13621i 0.542015 0.348332i
\(142\) −3.57491 + 4.77553i −0.300000 + 0.400753i
\(143\) −2.03424 + 5.45401i −0.170112 + 0.456087i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) 1.16483 + 8.39634i 0.0967342 + 0.697278i
\(146\) 5.45600 + 3.50636i 0.451541 + 0.290188i
\(147\) 9.67854 3.60991i 0.798272 0.297740i
\(148\) −1.04078 1.90604i −0.0855514 0.156676i
\(149\) −6.50574 7.50803i −0.532971 0.615082i 0.423859 0.905728i \(-0.360675\pi\)
−0.956831 + 0.290647i \(0.906130\pi\)
\(150\) 2.03196 + 4.56849i 0.165909 + 0.373016i
\(151\) 10.7016 + 3.14227i 0.870884 + 0.255715i 0.686491 0.727138i \(-0.259150\pi\)
0.184393 + 0.982853i \(0.440968\pi\)
\(152\) 1.73628 + 4.65514i 0.140831 + 0.377582i
\(153\) −0.447657 2.05784i −0.0361909 0.166367i
\(154\) −2.81281 9.57956i −0.226663 0.771943i
\(155\) −6.62250 + 22.1481i −0.531932 + 1.77898i
\(156\) −1.00827 2.20779i −0.0807259 0.176765i
\(157\) 0.763456 + 0.571516i 0.0609304 + 0.0456120i 0.629309 0.777155i \(-0.283338\pi\)
−0.568378 + 0.822767i \(0.692429\pi\)
\(158\) −0.863632 0.187872i −0.0687069 0.0149463i
\(159\) 6.25426 7.21780i 0.495995 0.572409i
\(160\) 1.33115 + 1.79667i 0.105237 + 0.142040i
\(161\) 18.5200 + 7.45627i 1.45958 + 0.587637i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 1.51888 + 21.2367i 0.118968 + 1.66338i 0.610119 + 0.792310i \(0.291122\pi\)
−0.491151 + 0.871074i \(0.663424\pi\)
\(164\) 4.63910 + 7.21858i 0.362253 + 0.563676i
\(165\) 3.81079 3.77326i 0.296670 0.293748i
\(166\) 1.98647 0.907191i 0.154180 0.0704117i
\(167\) 2.96458 2.21926i 0.229406 0.171732i −0.478391 0.878147i \(-0.658780\pi\)
0.707797 + 0.706415i \(0.249689\pi\)
\(168\) 3.65370 + 1.99507i 0.281889 + 0.153923i
\(169\) −3.84344 + 5.98051i −0.295649 + 0.460039i
\(170\) −2.56550 + 3.94890i −0.196765 + 0.302867i
\(171\) −1.39976 + 4.76715i −0.107042 + 0.364553i
\(172\) 0.893072 + 0.0638738i 0.0680961 + 0.00487033i
\(173\) 2.02328 + 0.144708i 0.153827 + 0.0110020i 0.148040 0.988981i \(-0.452703\pi\)
0.00578693 + 0.999983i \(0.498158\pi\)
\(174\) −1.06803 + 3.63736i −0.0809668 + 0.275748i
\(175\) −1.27935 20.7752i −0.0967098 1.57046i
\(176\) 1.29663 2.01759i 0.0977370 0.152082i
\(177\) 10.8271 + 5.91205i 0.813816 + 0.444377i
\(178\) 9.70628 7.26603i 0.727516 0.544612i
\(179\) 17.2600 7.88238i 1.29007 0.589157i 0.352132 0.935950i \(-0.385457\pi\)
0.937941 + 0.346794i \(0.112730\pi\)
\(180\) −0.0110650 + 2.23604i −0.000824735 + 0.166665i
\(181\) 6.50319 + 10.1192i 0.483378 + 0.752151i 0.994201 0.107535i \(-0.0342957\pi\)
−0.510823 + 0.859686i \(0.670659\pi\)
\(182\) 0.720806 + 10.0782i 0.0534297 + 0.747045i
\(183\) −8.52177 8.52177i −0.629947 0.629947i
\(184\) 1.55971 + 4.53512i 0.114983 + 0.334333i
\(185\) −3.90181 + 2.89084i −0.286867 + 0.212539i
\(186\) −6.77012 + 7.81313i −0.496409 + 0.572887i
\(187\) 4.93536 + 1.07362i 0.360909 + 0.0785110i
\(188\) −6.12460 4.58482i −0.446682 0.334382i
\(189\) 1.72934 + 3.78672i 0.125791 + 0.275443i
\(190\) 9.77696 5.27599i 0.709295 0.382760i
\(191\) 0.384993 + 1.31116i 0.0278571 + 0.0948725i 0.972248 0.233952i \(-0.0751658\pi\)
−0.944391 + 0.328824i \(0.893348\pi\)
\(192\) 0.212565 + 0.977147i 0.0153406 + 0.0705195i
\(193\) −4.94501 13.2581i −0.355950 0.954339i −0.984315 0.176420i \(-0.943548\pi\)
0.628365 0.777919i \(-0.283724\pi\)
\(194\) −13.5948 3.99179i −0.976048 0.286594i
\(195\) −4.58014 + 2.91155i −0.327990 + 0.208501i
\(196\) −6.76460 7.80677i −0.483186 0.557626i
\(197\) 0.0462241 + 0.0846530i 0.00329333 + 0.00603128i 0.879320 0.476231i \(-0.157997\pi\)
−0.876027 + 0.482262i \(0.839815\pi\)
\(198\) 2.24710 0.838126i 0.159695 0.0595630i
\(199\) −11.4132 7.33479i −0.809057 0.519949i 0.0695028 0.997582i \(-0.477859\pi\)
−0.878560 + 0.477632i \(0.841495\pi\)
\(200\) 3.57035 3.50037i 0.252462 0.247514i
\(201\) 10.8220 + 1.55597i 0.763326 + 0.109750i
\(202\) −6.19092 + 16.5985i −0.435592 + 1.16787i
\(203\) 9.45736 12.6336i 0.663776 0.886702i
\(204\) −1.77166 + 1.13857i −0.124041 + 0.0797162i
\(205\) 14.5627 12.4930i 1.01710 0.872547i
\(206\) 11.3788i 0.792799i
\(207\) −1.46918 + 4.56525i −0.102115 + 0.317307i
\(208\) −1.71624 + 1.71624i −0.119000 + 0.119000i
\(209\) −9.00536 7.80319i −0.622914 0.539758i
\(210\) 3.29612 8.70544i 0.227454 0.600733i
\(211\) −0.193391 1.34506i −0.0133136 0.0925979i 0.982081 0.188458i \(-0.0603489\pi\)
−0.995395 + 0.0958601i \(0.969440\pi\)
\(212\) −8.94835 3.33756i −0.614575 0.229225i
\(213\) 3.57491 + 4.77553i 0.244949 + 0.327214i
\(214\) −12.2342 + 3.59229i −0.836313 + 0.245564i
\(215\) −0.132943 1.99765i −0.00906661 0.136239i
\(216\) −0.415415 + 0.909632i −0.0282654 + 0.0618926i
\(217\) 37.7729 20.6256i 2.56419 1.40015i
\(218\) 0.0779253 1.08954i 0.00527777 0.0737928i
\(219\) 4.90146 4.24714i 0.331210 0.286995i
\(220\) −4.86709 2.25190i −0.328139 0.151823i
\(221\) −4.64955 2.12338i −0.312763 0.142834i
\(222\) −2.12206 + 0.461625i −0.142423 + 0.0309822i
\(223\) −9.49628 + 17.3911i −0.635918 + 1.16460i 0.338737 + 0.940881i \(0.390000\pi\)
−0.974655 + 0.223715i \(0.928181\pi\)
\(224\) 0.592444 4.12054i 0.0395843 0.275315i
\(225\) 4.95591 0.662560i 0.330394 0.0441706i
\(226\) 17.8208 2.56225i 1.18542 0.170438i
\(227\) −3.86873 + 17.7842i −0.256776 + 1.18038i 0.650387 + 0.759603i \(0.274607\pi\)
−0.907163 + 0.420779i \(0.861757\pi\)
\(228\) 4.95574 0.354442i 0.328202 0.0234735i
\(229\) 3.78792 0.250313 0.125156 0.992137i \(-0.460057\pi\)
0.125156 + 0.992137i \(0.460057\pi\)
\(230\) 9.56538 4.84804i 0.630723 0.319670i
\(231\) −9.98398 −0.656898
\(232\) 3.78126 0.270441i 0.248252 0.0177553i
\(233\) 1.91845 8.81897i 0.125682 0.577750i −0.870630 0.491939i \(-0.836288\pi\)
0.996311 0.0858109i \(-0.0273481\pi\)
\(234\) −2.40242 + 0.345417i −0.157051 + 0.0225806i
\(235\) −8.27280 + 14.9739i −0.539658 + 0.976788i
\(236\) 1.75561 12.2105i 0.114280 0.794837i
\(237\) −0.423575 + 0.775719i −0.0275141 + 0.0503884i
\(238\) 8.56662 1.86355i 0.555292 0.120796i
\(239\) 10.4854 + 4.78854i 0.678247 + 0.309745i 0.724590 0.689180i \(-0.242029\pi\)
−0.0463424 + 0.998926i \(0.514757\pi\)
\(240\) 2.09892 0.771049i 0.135485 0.0497710i
\(241\) 3.23799 2.80574i 0.208577 0.180733i −0.544307 0.838886i \(-0.683207\pi\)
0.752884 + 0.658153i \(0.228662\pi\)
\(242\) 0.374394 5.23471i 0.0240669 0.336500i
\(243\) −0.877679 + 0.479249i −0.0563031 + 0.0307438i
\(244\) −5.00641 + 10.9625i −0.320503 + 0.701803i
\(245\) −15.2123 + 17.3814i −0.971879 + 1.11046i
\(246\) 8.23316 2.41747i 0.524927 0.154132i
\(247\) 7.22666 + 9.65369i 0.459821 + 0.614249i
\(248\) 9.68643 + 3.61285i 0.615089 + 0.229416i
\(249\) −0.310790 2.16159i −0.0196955 0.136985i
\(250\) −8.84988 6.83225i −0.559715 0.432110i
\(251\) −6.22965 5.39802i −0.393212 0.340720i 0.435707 0.900088i \(-0.356498\pi\)
−0.828919 + 0.559368i \(0.811044\pi\)
\(252\) 2.94362 2.94362i 0.185431 0.185431i
\(253\) −8.49574 7.75349i −0.534123 0.487458i
\(254\) 13.1390i 0.824416i
\(255\) 3.06615 + 3.57411i 0.192010 + 0.223820i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −5.72627 + 7.64941i −0.357195 + 0.477157i −0.942762 0.333468i \(-0.891781\pi\)
0.585566 + 0.810624i \(0.300872\pi\)
\(258\) 0.312894 0.838901i 0.0194799 0.0522277i
\(259\) 8.94852 + 1.28660i 0.556034 + 0.0799456i
\(260\) 4.32857 + 3.27388i 0.268447 + 0.203037i
\(261\) 3.18912 + 2.04953i 0.197402 + 0.126862i
\(262\) 7.14450 2.66476i 0.441389 0.164629i
\(263\) −14.0953 25.8136i −0.869153 1.59174i −0.804597 0.593821i \(-0.797619\pi\)
−0.0645561 0.997914i \(-0.520563\pi\)
\(264\) −1.57056 1.81253i −0.0966615 0.111553i
\(265\) −4.64266 + 20.8448i −0.285197 + 1.28049i
\(266\) −19.8452 5.82708i −1.21679 0.357281i
\(267\) −4.23713 11.3602i −0.259308 0.695232i
\(268\) −2.32404 10.6834i −0.141963 0.652595i
\(269\) 3.97503 + 13.5377i 0.242362 + 0.825408i 0.987381 + 0.158365i \(0.0506222\pi\)
−0.745019 + 0.667043i \(0.767560\pi\)
\(270\) 2.14235 + 0.640582i 0.130379 + 0.0389846i
\(271\) 3.69039 + 8.08083i 0.224175 + 0.490876i 0.987982 0.154570i \(-0.0493991\pi\)
−0.763807 + 0.645445i \(0.776672\pi\)
\(272\) 1.68592 + 1.26206i 0.102224 + 0.0765238i
\(273\) 9.87302 + 2.14774i 0.597542 + 0.129987i
\(274\) 0.0756202 0.0872704i 0.00456839 0.00527220i
\(275\) −3.49212 + 11.4718i −0.210583 + 0.691778i
\(276\) 4.79084 0.218841i 0.288374 0.0131727i
\(277\) −13.2715 13.2715i −0.797406 0.797406i 0.185280 0.982686i \(-0.440681\pi\)
−0.982686 + 0.185280i \(0.940681\pi\)
\(278\) −0.557304 7.79213i −0.0334249 0.467341i
\(279\) 5.58928 + 8.69709i 0.334622 + 0.520681i
\(280\) −9.30844 0.0460625i −0.556286 0.00275276i
\(281\) −19.0081 + 8.68070i −1.13393 + 0.517847i −0.891815 0.452401i \(-0.850568\pi\)
−0.242112 + 0.970248i \(0.577840\pi\)
\(282\) −6.12460 + 4.58482i −0.364714 + 0.273022i
\(283\) −11.6948 6.38585i −0.695184 0.379599i 0.0924712 0.995715i \(-0.470523\pi\)
−0.787655 + 0.616116i \(0.788705\pi\)
\(284\) 3.22512 5.01839i 0.191376 0.297787i
\(285\) −2.30778 10.8673i −0.136701 0.643726i
\(286\) 1.63997 5.58523i 0.0969736 0.330262i
\(287\) −35.6298 2.54830i −2.10316 0.150421i
\(288\) 0.997452 + 0.0713392i 0.0587754 + 0.00420370i
\(289\) 3.53994 12.0559i 0.208232 0.709171i
\(290\) −1.76085 8.29185i −0.103401 0.486914i
\(291\) −7.66018 + 11.9195i −0.449048 + 0.698732i
\(292\) −5.69224 3.10820i −0.333113 0.181893i
\(293\) −13.5050 + 10.1097i −0.788972 + 0.590617i −0.915952 0.401288i \(-0.868563\pi\)
0.126980 + 0.991905i \(0.459472\pi\)
\(294\) −9.39635 + 4.29117i −0.548006 + 0.250266i
\(295\) −27.5840 0.136498i −1.60600 0.00794725i
\(296\) 1.17410 + 1.82694i 0.0682433 + 0.106189i
\(297\) −0.171094 2.39221i −0.00992788 0.138810i
\(298\) 7.02478 + 7.02478i 0.406935 + 0.406935i
\(299\) 6.73340 + 9.49491i 0.389402 + 0.549105i
\(300\) −2.35270 4.41189i −0.135833 0.254721i
\(301\) −2.44085 + 2.81689i −0.140688 + 0.162363i
\(302\) −10.8985 2.37082i −0.627139 0.136426i
\(303\) 14.1820 + 10.6165i 0.814732 + 0.609901i
\(304\) −2.06395 4.51942i −0.118376 0.259206i
\(305\) 25.8187 + 7.72004i 1.47838 + 0.442048i
\(306\) 0.593321 + 2.02067i 0.0339179 + 0.115514i
\(307\) −3.14925 14.4769i −0.179737 0.826238i −0.975390 0.220486i \(-0.929236\pi\)
0.795653 0.605753i \(-0.207128\pi\)
\(308\) 3.48904 + 9.35449i 0.198807 + 0.533021i
\(309\) −10.9179 3.20578i −0.621096 0.182370i
\(310\) 5.02560 22.5642i 0.285435 1.28156i
\(311\) 0.626634 + 0.723174i 0.0355331 + 0.0410074i 0.773238 0.634116i \(-0.218636\pi\)
−0.737705 + 0.675123i \(0.764090\pi\)
\(312\) 1.16320 + 2.13024i 0.0658532 + 0.120601i
\(313\) −22.5730 + 8.41928i −1.27590 + 0.475886i −0.893896 0.448275i \(-0.852039\pi\)
−0.382004 + 0.924161i \(0.624766\pi\)
\(314\) −0.802283 0.515596i −0.0452754 0.0290967i
\(315\) −7.42419 5.61522i −0.418305 0.316382i
\(316\) 0.874834 + 0.125782i 0.0492133 + 0.00707580i
\(317\) −5.93440 + 15.9107i −0.333309 + 0.893637i 0.656891 + 0.753985i \(0.271871\pi\)
−0.990201 + 0.139652i \(0.955402\pi\)
\(318\) −5.72341 + 7.64558i −0.320953 + 0.428743i
\(319\) −7.64853 + 4.91541i −0.428235 + 0.275210i
\(320\) −1.45593 1.69713i −0.0813891 0.0948726i
\(321\) 12.7507i 0.711675i
\(322\) −19.0047 6.11608i −1.05909 0.340836i
\(323\) 7.39868 7.39868i 0.411674 0.411674i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) 5.92112 10.5931i 0.328445 0.587601i
\(326\) −3.03001 21.0742i −0.167817 1.16719i
\(327\) −1.02345 0.381727i −0.0565969 0.0211096i
\(328\) −5.14224 6.86923i −0.283933 0.379290i
\(329\) 30.5586 8.97280i 1.68475 0.494686i
\(330\) −3.53190 + 4.03550i −0.194425 + 0.222147i
\(331\) 13.7121 30.0253i 0.753686 1.65034i −0.00594002 0.999982i \(-0.501891\pi\)
0.759626 0.650360i \(-0.225382\pi\)
\(332\) −1.91669 + 1.04659i −0.105192 + 0.0574392i
\(333\) −0.154926 + 2.16615i −0.00848991 + 0.118704i
\(334\) −2.79871 + 2.42510i −0.153139 + 0.132695i
\(335\) −22.9482 + 8.43010i −1.25379 + 0.460586i
\(336\) −3.78672 1.72934i −0.206582 0.0943430i
\(337\) 10.4554 2.27444i 0.569543 0.123896i 0.0814332 0.996679i \(-0.474050\pi\)
0.488110 + 0.872782i \(0.337687\pi\)
\(338\) 3.40700 6.23946i 0.185316 0.339382i
\(339\) 2.56225 17.8208i 0.139162 0.967894i
\(340\) 2.27725 4.12186i 0.123501 0.223539i
\(341\) −24.5420 + 3.52861i −1.32903 + 0.191085i
\(342\) 1.05611 4.85486i 0.0571079 0.262521i
\(343\) 13.8265 0.988890i 0.746560 0.0533951i
\(344\) −0.895354 −0.0482742
\(345\) −1.95678 10.5438i −0.105349 0.567657i
\(346\) −2.02845 −0.109050
\(347\) −4.08084 + 0.291868i −0.219071 + 0.0156683i −0.180443 0.983585i \(-0.557753\pi\)
−0.0386279 + 0.999254i \(0.512299\pi\)
\(348\) 0.805818 3.70429i 0.0431964 0.198571i
\(349\) −4.82009 + 0.693025i −0.258014 + 0.0370968i −0.270108 0.962830i \(-0.587059\pi\)
0.0120941 + 0.999927i \(0.496150\pi\)
\(350\) 2.75818 + 20.6310i 0.147431 + 1.10277i
\(351\) −0.345417 + 2.40242i −0.0184370 + 0.128232i
\(352\) −1.14939 + 2.10495i −0.0612627 + 0.112194i
\(353\) 14.1962 3.08820i 0.755589 0.164368i 0.181759 0.983343i \(-0.441821\pi\)
0.573830 + 0.818975i \(0.305457\pi\)
\(354\) −11.2213 5.12459i −0.596405 0.272369i
\(355\) −12.1060 5.60119i −0.642519 0.297280i
\(356\) −9.16319 + 7.93995i −0.485648 + 0.420817i
\(357\) 0.625429 8.74464i 0.0331012 0.462815i
\(358\) −16.6537 + 9.09361i −0.880176 + 0.480612i
\(359\) 7.91579 17.3332i 0.417779 0.914809i −0.577375 0.816479i \(-0.695923\pi\)
0.995154 0.0983295i \(-0.0313499\pi\)
\(360\) −0.148481 2.23113i −0.00782561 0.117591i
\(361\) −5.45472 + 1.60165i −0.287091 + 0.0842974i
\(362\) −7.20851 9.62944i −0.378871 0.506112i
\(363\) −4.91719 1.83402i −0.258085 0.0962609i
\(364\) −1.43794 10.0011i −0.0753685 0.524199i
\(365\) −5.13516 + 13.5625i −0.268786 + 0.709895i
\(366\) 9.10799 + 7.89212i 0.476082 + 0.412528i
\(367\) 6.60131 6.60131i 0.344586 0.344586i −0.513502 0.858088i \(-0.671652\pi\)
0.858088 + 0.513502i \(0.171652\pi\)
\(368\) −1.87927 4.41230i −0.0979637 0.230007i
\(369\) 8.58074i 0.446695i
\(370\) 3.68564 3.16183i 0.191607 0.164376i
\(371\) 33.4465 21.4948i 1.73646 1.11595i
\(372\) 6.19549 8.27620i 0.321221 0.429101i
\(373\) 1.53183 4.10700i 0.0793153 0.212652i −0.891240 0.453533i \(-0.850163\pi\)
0.970555 + 0.240880i \(0.0774362\pi\)
\(374\) −4.99938 0.718802i −0.258512 0.0371684i
\(375\) −9.04880 + 6.56652i −0.467278 + 0.339094i
\(376\) 6.43607 + 4.13621i 0.331915 + 0.213309i
\(377\) 8.62092 3.21544i 0.444000 0.165604i
\(378\) −1.99507 3.65370i −0.102615 0.187926i
\(379\) 11.4462 + 13.2096i 0.587950 + 0.678530i 0.969295 0.245903i \(-0.0790843\pi\)
−0.381345 + 0.924433i \(0.624539\pi\)
\(380\) −9.37567 + 5.96003i −0.480962 + 0.305743i
\(381\) −12.6068 3.70169i −0.645866 0.189643i
\(382\) −0.477549 1.28036i −0.0244335 0.0655089i
\(383\) −4.44093 20.4146i −0.226921 1.04314i −0.939766 0.341817i \(-0.888958\pi\)
0.712846 0.701321i \(-0.247406\pi\)
\(384\) −0.281733 0.959493i −0.0143771 0.0489639i
\(385\) 19.6468 10.6021i 1.00129 0.540332i
\(386\) 5.87824 + 12.8715i 0.299194 + 0.655144i
\(387\) −0.716768 0.536565i −0.0364353 0.0272752i
\(388\) 13.8449 + 3.01178i 0.702869 + 0.152900i
\(389\) −8.89356 + 10.2637i −0.450921 + 0.520391i −0.935007 0.354630i \(-0.884607\pi\)
0.484085 + 0.875021i \(0.339152\pi\)
\(390\) 4.36076 3.23088i 0.220816 0.163602i
\(391\) 7.32323 6.95544i 0.370351 0.351751i
\(392\) 7.30430 + 7.30430i 0.368923 + 0.368923i
\(393\) −0.543981 7.60585i −0.0274402 0.383664i
\(394\) −0.0521454 0.0811398i −0.00262705 0.00408776i
\(395\) 0.00977956 1.97628i 0.000492063 0.0994374i
\(396\) −2.18158 + 0.996296i −0.109629 + 0.0500658i
\(397\) 24.2049 18.1195i 1.21481 0.909394i 0.217040 0.976163i \(-0.430360\pi\)
0.997768 + 0.0667688i \(0.0212690\pi\)
\(398\) 11.9073 + 6.50189i 0.596861 + 0.325911i
\(399\) −11.1821 + 17.3997i −0.559804 + 0.871072i
\(400\) −3.31154 + 3.74616i −0.165577 + 0.187308i
\(401\) 4.05107 13.7967i 0.202301 0.688972i −0.794370 0.607435i \(-0.792199\pi\)
0.996670 0.0815378i \(-0.0259831\pi\)
\(402\) −10.9054 0.779972i −0.543914 0.0389015i
\(403\) 25.0284 + 1.79006i 1.24675 + 0.0891694i
\(404\) 4.99102 16.9979i 0.248313 0.845675i
\(405\) 1.21820 1.87509i 0.0605330 0.0931742i
\(406\) −8.53200 + 13.2760i −0.423436 + 0.658879i
\(407\) −4.57129 2.49611i −0.226591 0.123728i
\(408\) 1.68592 1.26206i 0.0834654 0.0624814i
\(409\) −3.18455 + 1.45433i −0.157466 + 0.0719121i −0.492589 0.870262i \(-0.663949\pi\)
0.335123 + 0.942174i \(0.391222\pi\)
\(410\) −13.6343 + 13.5000i −0.673350 + 0.666719i
\(411\) −0.0624307 0.0971440i −0.00307948 0.00479176i
\(412\) 0.811754 + 11.3498i 0.0399923 + 0.559165i
\(413\) 36.3128 + 36.3128i 1.78683 + 1.78683i
\(414\) 1.13976 4.65843i 0.0560160 0.228949i
\(415\) 2.90699 + 3.92361i 0.142699 + 0.192602i
\(416\) 1.58943 1.83430i 0.0779283 0.0899341i
\(417\) −7.63351 1.66057i −0.373815 0.0813184i
\(418\) 9.53908 + 7.14087i 0.466572 + 0.349271i
\(419\) 3.27598 + 7.17339i 0.160042 + 0.350443i 0.972617 0.232413i \(-0.0746622\pi\)
−0.812575 + 0.582857i \(0.801935\pi\)
\(420\) −2.66669 + 8.91841i −0.130121 + 0.435174i
\(421\) 4.95922 + 16.8896i 0.241698 + 0.823147i 0.987586 + 0.157076i \(0.0502069\pi\)
−0.745889 + 0.666071i \(0.767975\pi\)
\(422\) 0.288854 + 1.32784i 0.0140612 + 0.0646382i
\(423\) 2.67360 + 7.16820i 0.129995 + 0.348530i
\(424\) 9.16365 + 2.69069i 0.445026 + 0.130671i
\(425\) −9.82905 3.77727i −0.476779 0.183224i
\(426\) −3.90649 4.50833i −0.189270 0.218429i
\(427\) −24.0438 44.0329i −1.16356 2.13090i
\(428\) 11.9468 4.45591i 0.577469 0.215385i
\(429\) −4.89696 3.14708i −0.236427 0.151943i
\(430\) 0.275115 + 1.98308i 0.0132672 + 0.0956326i
\(431\) −19.9566 2.86933i −0.961278 0.138211i −0.356229 0.934399i \(-0.615938\pi\)
−0.605049 + 0.796188i \(0.706847\pi\)
\(432\) 0.349464 0.936950i 0.0168136 0.0450790i
\(433\) 10.2283 13.6635i 0.491543 0.656624i −0.484350 0.874874i \(-0.660944\pi\)
0.975893 + 0.218250i \(0.0700349\pi\)
\(434\) −36.2052 + 23.2677i −1.73791 + 1.11689i
\(435\) −8.45206 0.646557i −0.405245 0.0310000i
\(436\) 1.09232i 0.0523127i
\(437\) −23.0277 + 6.12209i −1.10156 + 0.292859i
\(438\) −4.58598 + 4.58598i −0.219127 + 0.219127i
\(439\) −12.7822 11.0758i −0.610059 0.528620i 0.294122 0.955768i \(-0.404973\pi\)
−0.904182 + 0.427148i \(0.859518\pi\)
\(440\) 5.01534 + 1.89895i 0.239097 + 0.0905287i
\(441\) 1.47009 + 10.2247i 0.0700042 + 0.486890i
\(442\) 4.78919 + 1.78627i 0.227798 + 0.0849644i
\(443\) −16.8866 22.5578i −0.802306 1.07176i −0.995881 0.0906699i \(-0.971099\pi\)
0.193575 0.981085i \(-0.437992\pi\)
\(444\) 2.08372 0.611834i 0.0988888 0.0290364i
\(445\) 20.4014 + 17.8554i 0.967120 + 0.846429i
\(446\) 8.23141 18.0243i 0.389769 0.853474i
\(447\) 8.71934 4.76112i 0.412411 0.225193i
\(448\) −0.296979 + 4.15231i −0.0140309 + 0.196178i
\(449\) 22.7466 19.7100i 1.07348 0.930174i 0.0757217 0.997129i \(-0.475874\pi\)
0.997756 + 0.0669553i \(0.0213285\pi\)
\(450\) −4.89601 + 1.01442i −0.230800 + 0.0478203i
\(451\) 18.7196 + 8.54896i 0.881472 + 0.402555i
\(452\) −17.5926 + 3.82704i −0.827487 + 0.180009i
\(453\) −5.34525 + 9.78910i −0.251142 + 0.459932i
\(454\) 2.59016 18.0149i 0.121562 0.845482i
\(455\) −21.7091 + 6.25785i −1.01774 + 0.293373i
\(456\) −4.91783 + 0.707077i −0.230298 + 0.0331119i
\(457\) −0.254817 + 1.17137i −0.0119198 + 0.0547946i −0.982723 0.185084i \(-0.940744\pi\)
0.970803 + 0.239879i \(0.0771078\pi\)
\(458\) −3.77827 + 0.270227i −0.176547 + 0.0126269i
\(459\) 2.10597 0.0982984
\(460\) −9.19515 + 5.51807i −0.428726 + 0.257281i
\(461\) −10.7712 −0.501666 −0.250833 0.968030i \(-0.580704\pi\)
−0.250833 + 0.968030i \(0.580704\pi\)
\(462\) 9.95854 0.712249i 0.463313 0.0331368i
\(463\) 6.25966 28.7752i 0.290911 1.33730i −0.567093 0.823654i \(-0.691932\pi\)
0.858004 0.513643i \(-0.171705\pi\)
\(464\) −3.75233 + 0.539504i −0.174198 + 0.0250458i
\(465\) −20.2343 11.1791i −0.938342 0.518418i
\(466\) −1.28442 + 8.93336i −0.0594998 + 0.413830i
\(467\) −8.86559 + 16.2361i −0.410250 + 0.751318i −0.998347 0.0574731i \(-0.981696\pi\)
0.588097 + 0.808791i \(0.299877\pi\)
\(468\) 2.37166 0.515924i 0.109630 0.0238486i
\(469\) 41.4013 + 18.9073i 1.91173 + 0.873060i
\(470\) 7.18350 15.5259i 0.331350 0.716156i
\(471\) −0.720740 + 0.624524i −0.0332099 + 0.0287766i
\(472\) −0.880046 + 12.3046i −0.0405074 + 0.566367i
\(473\) 1.88468 1.02911i 0.0866575 0.0473186i
\(474\) 0.367156 0.803960i 0.0168640 0.0369271i
\(475\) 16.0815 + 18.9344i 0.737868 + 0.868770i
\(476\) −8.41185 + 2.46994i −0.385557 + 0.113210i
\(477\) 5.72341 + 7.64558i 0.262057 + 0.350067i
\(478\) −10.8003 4.02832i −0.493996 0.184251i
\(479\) −3.18838 22.1757i −0.145681 1.01323i −0.923185 0.384355i \(-0.874424\pi\)
0.777504 0.628877i \(-0.216485\pi\)
\(480\) −2.03857 + 0.918820i −0.0930476 + 0.0419382i
\(481\) 3.98353 + 3.45175i 0.181633 + 0.157386i
\(482\) −3.02958 + 3.02958i −0.137994 + 0.137994i
\(483\) −11.2226 + 16.5118i −0.510645 + 0.751313i
\(484\) 5.24808i 0.238549i
\(485\) 2.41653 31.5899i 0.109729 1.43442i
\(486\) 0.841254 0.540641i 0.0381600 0.0245240i
\(487\) 11.2854 15.0755i 0.511390 0.683138i −0.468319 0.883559i \(-0.655140\pi\)
0.979710 + 0.200422i \(0.0642312\pi\)
\(488\) 4.21160 11.2917i 0.190650 0.511153i
\(489\) −21.0742 3.03001i −0.953008 0.137022i
\(490\) 13.9336 18.4223i 0.629455 0.832237i
\(491\) 20.4311 + 13.1303i 0.922045 + 0.592562i 0.913250 0.407399i \(-0.133564\pi\)
0.00879448 + 0.999961i \(0.497201\pi\)
\(492\) −8.03972 + 2.99866i −0.362459 + 0.135190i
\(493\) −3.82612 7.00701i −0.172320 0.315580i
\(494\) −7.89693 9.11355i −0.355300 0.410038i
\(495\) 2.87699 + 4.52576i 0.129311 + 0.203418i
\(496\) −9.91948 2.91262i −0.445398 0.130781i
\(497\) 8.67836 + 23.2676i 0.389277 + 1.04369i
\(498\) 0.464204 + 2.13391i 0.0208015 + 0.0956229i
\(499\) 11.3858 + 38.7766i 0.509701 + 1.73588i 0.663881 + 0.747838i \(0.268908\pi\)
−0.154181 + 0.988043i \(0.549274\pi\)
\(500\) 9.31473 + 6.18350i 0.416568 + 0.276535i
\(501\) 1.53838 + 3.36857i 0.0687295 + 0.150497i
\(502\) 6.59886 + 4.93985i 0.294522 + 0.220476i
\(503\) 21.3555 + 4.64561i 0.952196 + 0.207137i 0.661725 0.749746i \(-0.269825\pi\)
0.290470 + 0.956884i \(0.406188\pi\)
\(504\) −2.72613 + 3.14612i −0.121431 + 0.140139i
\(505\) −39.1814 5.83147i −1.74355 0.259497i
\(506\) 9.02722 + 7.12765i 0.401309 + 0.316863i
\(507\) −5.02685 5.02685i −0.223250 0.223250i
\(508\) 0.937327 + 13.1055i 0.0415872 + 0.581465i
\(509\) 21.3574 + 33.2328i 0.946652 + 1.47302i 0.879849 + 0.475253i \(0.157644\pi\)
0.0668030 + 0.997766i \(0.478720\pi\)
\(510\) −3.31332 3.34627i −0.146716 0.148175i
\(511\) 24.5590 11.2157i 1.08642 0.496154i
\(512\) −0.800541 + 0.599278i −0.0353793 + 0.0264846i
\(513\) −4.36066 2.38110i −0.192528 0.105128i
\(514\) 5.16598 8.03842i 0.227862 0.354560i
\(515\) 24.8888 5.28537i 1.09673 0.232901i
\(516\) −0.252250 + 0.859086i −0.0111047 + 0.0378191i
\(517\) −18.3017 1.30897i −0.804909 0.0575682i
\(518\) −9.01750 0.644944i −0.396206 0.0283372i
\(519\) −0.571481 + 1.94629i −0.0250852 + 0.0854325i
\(520\) −4.55110 2.95674i −0.199579 0.129662i
\(521\) −12.3630 + 19.2372i −0.541631 + 0.842795i −0.998917 0.0465248i \(-0.985185\pi\)
0.457286 + 0.889320i \(0.348822\pi\)
\(522\) −3.32721 1.81679i −0.145628 0.0795189i
\(523\) 12.7901 9.57453i 0.559271 0.418665i −0.281893 0.959446i \(-0.590962\pi\)
0.841163 + 0.540781i \(0.181871\pi\)
\(524\) −6.93620 + 3.16765i −0.303009 + 0.138380i
\(525\) 20.5724 + 3.16597i 0.897852 + 0.138174i
\(526\) 15.9009 + 24.7423i 0.693312 + 1.07882i
\(527\) −1.55320 21.7166i −0.0676586 0.945990i
\(528\) 1.69587 + 1.69587i 0.0738031 + 0.0738031i
\(529\) −22.3727 + 5.33513i −0.972725 + 0.231962i
\(530\) 3.14378 21.1229i 0.136557 0.917521i
\(531\) −8.07841 + 9.32299i −0.350573 + 0.404583i
\(532\) 20.2103 + 4.39649i 0.876229 + 0.190612i
\(533\) −16.6725 12.4809i −0.722167 0.540607i
\(534\) 5.03676 + 11.0290i 0.217962 + 0.477270i
\(535\) −13.5401 25.0912i −0.585389 1.08479i
\(536\) 3.08026 + 10.4904i 0.133047 + 0.453117i
\(537\) 4.03336 + 18.5411i 0.174053 + 0.800107i
\(538\) −4.93067 13.2196i −0.212576 0.569939i
\(539\) −23.7707 6.97970i −1.02388 0.300637i
\(540\) −2.18259 0.486117i −0.0939236 0.0209191i
\(541\) −15.8295 18.2682i −0.680564 0.785413i 0.305426 0.952216i \(-0.401201\pi\)
−0.985990 + 0.166803i \(0.946656\pi\)
\(542\) −4.25747 7.79697i −0.182874 0.334909i
\(543\) −11.2703 + 4.20359i −0.483653 + 0.180393i
\(544\) −1.77166 1.13857i −0.0759591 0.0488160i
\(545\) 2.41933 0.335637i 0.103633 0.0143771i
\(546\) −10.0011 1.43794i −0.428007 0.0615381i
\(547\) 1.44358 3.87039i 0.0617231 0.165486i −0.902427 0.430842i \(-0.858217\pi\)
0.964151 + 0.265356i \(0.0854894\pi\)
\(548\) −0.0692018 + 0.0924427i −0.00295615 + 0.00394896i
\(549\) 10.1384 6.51558i 0.432698 0.278078i
\(550\) 2.66483 11.6917i 0.113629 0.498537i
\(551\) 18.8348i 0.802390i
\(552\) −4.76302 + 0.560058i −0.202727 + 0.0238377i
\(553\) −2.60166 + 2.60166i −0.110634 + 0.110634i
\(554\) 14.1844 + 12.2909i 0.602639 + 0.522190i
\(555\) −1.99539 4.42713i −0.0846995 0.187921i
\(556\) 1.11177 + 7.73252i 0.0471495 + 0.327932i
\(557\) −14.4129 5.37572i −0.610693 0.227777i 0.0250393 0.999686i \(-0.492029\pi\)
−0.635732 + 0.771910i \(0.719302\pi\)
\(558\) −6.19549 8.27620i −0.262276 0.350360i
\(559\) −2.08511 + 0.612244i −0.0881908 + 0.0258952i
\(560\) 9.28801 0.618111i 0.392490 0.0261200i
\(561\) −2.09817 + 4.59436i −0.0885849 + 0.193974i
\(562\) 18.3404 10.0146i 0.773642 0.422441i
\(563\) −2.28016 + 31.8808i −0.0960972 + 1.34361i 0.689234 + 0.724539i \(0.257947\pi\)
−0.785331 + 0.619076i \(0.787507\pi\)
\(564\) 5.78191 5.01006i 0.243463 0.210961i
\(565\) 13.8820 + 37.7892i 0.584021 + 1.58980i
\(566\) 12.1206 + 5.53528i 0.509466 + 0.232665i
\(567\) −4.06778 + 0.884891i −0.170831 + 0.0371619i
\(568\) −2.85890 + 5.23568i −0.119957 + 0.219684i
\(569\) −3.01357 + 20.9598i −0.126335 + 0.878682i 0.823808 + 0.566869i \(0.191845\pi\)
−0.950144 + 0.311813i \(0.899064\pi\)
\(570\) 3.07717 + 10.6750i 0.128889 + 0.447127i
\(571\) −36.5962 + 5.26174i −1.53150 + 0.220197i −0.855928 0.517095i \(-0.827013\pi\)
−0.675574 + 0.737292i \(0.736104\pi\)
\(572\) −1.23735 + 5.68800i −0.0517361 + 0.237827i
\(573\) −1.36304 + 0.0974863i −0.0569417 + 0.00407255i
\(574\) 35.7209 1.49096
\(575\) 15.0471 + 18.6704i 0.627508 + 0.778610i
\(576\) −1.00000 −0.0416667
\(577\) −2.72780 + 0.195096i −0.113560 + 0.00812194i −0.128003 0.991774i \(-0.540857\pi\)
0.0144437 + 0.999896i \(0.495402\pi\)
\(578\) −2.67086 + 12.2777i −0.111093 + 0.510686i
\(579\) 14.0062 2.01379i 0.582080 0.0836904i
\(580\) 2.34790 + 8.14510i 0.0974913 + 0.338207i
\(581\) 1.29379 8.99851i 0.0536755 0.373321i
\(582\) 6.79034 12.4356i 0.281469 0.515471i
\(583\) −22.3817 + 4.86884i −0.926955 + 0.201647i
\(584\) 5.89947 + 2.69420i 0.244122 + 0.111487i
\(585\) −1.87144 5.09436i −0.0773743 0.210626i
\(586\) 12.7494 11.0474i 0.526673 0.456364i
\(587\) 2.30681 32.2534i 0.0952120 1.33124i −0.695268 0.718751i \(-0.744714\pi\)
0.790480 0.612488i \(-0.209831\pi\)
\(588\) 9.06628 4.95056i 0.373887 0.204158i
\(589\) −21.3376 + 46.7229i −0.879202 + 1.92518i
\(590\) 27.5234 1.83167i 1.13312 0.0754085i
\(591\) −0.0925441 + 0.0271734i −0.00380675 + 0.00111776i
\(592\) −1.30144 1.73852i −0.0534890 0.0714529i
\(593\) −7.21223 2.69002i −0.296171 0.110466i 0.196986 0.980406i \(-0.436884\pi\)
−0.493157 + 0.869940i \(0.664157\pi\)
\(594\) 0.341316 + 2.37390i 0.0140044 + 0.0974025i
\(595\) 8.05527 + 17.8721i 0.330234 + 0.732685i
\(596\) −7.50803 6.50574i −0.307541 0.266486i
\(597\) 9.59320 9.59320i 0.392624 0.392624i
\(598\) −7.39360 8.99037i −0.302347 0.367643i
\(599\) 26.4177i 1.07940i 0.841857 + 0.539700i \(0.181462\pi\)
−0.841857 + 0.539700i \(0.818538\pi\)
\(600\) 2.66144 + 4.23281i 0.108653 + 0.172804i
\(601\) 39.4156 25.3309i 1.60780 1.03327i 0.644582 0.764535i \(-0.277031\pi\)
0.963215 0.268733i \(-0.0866049\pi\)
\(602\) 2.23367 2.98384i 0.0910378 0.121612i
\(603\) −3.82079 + 10.2439i −0.155595 + 0.417166i
\(604\) 11.0399 + 1.58729i 0.449206 + 0.0645861i
\(605\) 11.6237 1.61257i 0.472572 0.0655605i
\(606\) −14.9032 9.57770i −0.605401 0.389067i
\(607\) −25.9930 + 9.69489i −1.05502 + 0.393504i −0.816327 0.577590i \(-0.803993\pi\)
−0.238697 + 0.971094i \(0.576720\pi\)
\(608\) 2.38110 + 4.36066i 0.0965664 + 0.176848i
\(609\) 10.3345 + 11.9267i 0.418776 + 0.483294i
\(610\) −26.3037 5.85848i −1.06500 0.237203i
\(611\) 17.8168 + 5.23147i 0.720789 + 0.211643i
\(612\) −0.735962 1.97319i −0.0297495 0.0797615i
\(613\) 7.71286 + 35.4555i 0.311520 + 1.43203i 0.820693 + 0.571369i \(0.193587\pi\)
−0.509174 + 0.860664i \(0.670049\pi\)
\(614\) 4.17399 + 14.2153i 0.168449 + 0.573683i
\(615\) 9.11196 + 16.8854i 0.367430 + 0.680886i
\(616\) −4.14749 9.08175i −0.167107 0.365914i
\(617\) −8.30198 6.21479i −0.334225 0.250198i 0.418962 0.908004i \(-0.362394\pi\)
−0.753188 + 0.657806i \(0.771485\pi\)
\(618\) 11.1188 + 2.41874i 0.447262 + 0.0972959i
\(619\) 16.1279 18.6126i 0.648237 0.748105i −0.332572 0.943078i \(-0.607916\pi\)
0.980809 + 0.194973i \(0.0624619\pi\)
\(620\) −3.40309 + 22.8652i −0.136671 + 0.918288i
\(621\) −4.14862 2.40602i −0.166478 0.0965503i
\(622\) −0.676628 0.676628i −0.0271303 0.0271303i
\(623\) −3.60076 50.3452i −0.144261 2.01704i
\(624\) −1.31221 2.04183i −0.0525303 0.0817387i
\(625\) 10.8334 22.5308i 0.433337 0.901232i
\(626\) 21.9148 10.0082i 0.875892 0.400007i
\(627\) 9.53908 7.14087i 0.380954 0.285179i
\(628\) 0.837021 + 0.457048i 0.0334008 + 0.0182382i
\(629\) 2.47263 3.84748i 0.0985900 0.153409i
\(630\) 7.80585 + 5.07127i 0.310993 + 0.202044i
\(631\) 8.17723 27.8491i 0.325530 1.10865i −0.620400 0.784285i \(-0.713030\pi\)
0.945931 0.324369i \(-0.105152\pi\)
\(632\) −0.881578 0.0630517i −0.0350673 0.00250806i
\(633\) 1.35543 + 0.0969424i 0.0538736 + 0.00385311i
\(634\) 4.78422 16.2936i 0.190006 0.647100i
\(635\) 28.7389 6.10298i 1.14047 0.242189i
\(636\) 5.16340 8.03440i 0.204742 0.318585i
\(637\) 22.0050 + 12.0157i 0.871871 + 0.476078i
\(638\) 7.27838 5.44853i 0.288154 0.215709i
\(639\) −5.42629 + 2.47811i −0.214661 + 0.0980323i
\(640\) 1.57330 + 1.58894i 0.0621900 + 0.0628085i
\(641\) −17.2775 26.8843i −0.682420 1.06187i −0.993757 0.111567i \(-0.964413\pi\)
0.311337 0.950300i \(-0.399223\pi\)
\(642\) −0.909624 12.7182i −0.0359000 0.501948i
\(643\) 26.5965 + 26.5965i 1.04886 + 1.04886i 0.998743 + 0.0501201i \(0.0159604\pi\)
0.0501201 + 0.998743i \(0.484040\pi\)
\(644\) 19.3926 + 4.74471i 0.764177 + 0.186968i
\(645\) 1.98026 + 0.294727i 0.0779726 + 0.0116049i
\(646\) −6.85201 + 7.90764i −0.269589 + 0.311122i
\(647\) −27.0993 5.89509i −1.06538 0.231760i −0.354490 0.935060i \(-0.615346\pi\)
−0.710893 + 0.703300i \(0.751709\pi\)
\(648\) −0.800541 0.599278i −0.0314482 0.0235419i
\(649\) −12.2904 26.9122i −0.482440 1.05640i
\(650\) −5.15033 + 10.9885i −0.202013 + 0.431006i
\(651\) 12.1250 + 41.2939i 0.475216 + 1.61844i
\(652\) 4.52571 + 20.8044i 0.177240 + 0.814761i
\(653\) −11.7827 31.5907i −0.461093 1.23624i −0.934680 0.355491i \(-0.884314\pi\)
0.473586 0.880747i \(-0.342959\pi\)
\(654\) 1.04807 + 0.307742i 0.0409830 + 0.0120337i
\(655\) 9.14718 + 14.3893i 0.357410 + 0.562238i
\(656\) 5.61919 + 6.48489i 0.219392 + 0.253192i
\(657\) 3.10820 + 5.69224i 0.121262 + 0.222075i
\(658\) −29.8406 + 11.1300i −1.16331 + 0.433891i
\(659\) −13.9981 8.99606i −0.545290 0.350437i 0.238815 0.971065i \(-0.423241\pi\)
−0.784105 + 0.620628i \(0.786878\pi\)
\(660\) 3.23501 4.27718i 0.125923 0.166489i
\(661\) −10.8953 1.56651i −0.423778 0.0609301i −0.0728733 0.997341i \(-0.523217\pi\)
−0.350905 + 0.936411i \(0.614126\pi\)
\(662\) −11.5352 + 30.9271i −0.448328 + 1.20201i
\(663\) 3.06319 4.09194i 0.118964 0.158918i
\(664\) 1.83714 1.18066i 0.0712951 0.0458185i
\(665\) 3.52757 46.1139i 0.136793 1.78822i
\(666\) 2.17169i 0.0841511i
\(667\) −0.468143 + 18.1746i −0.0181266 + 0.703723i
\(668\) 2.61858 2.61858i 0.101316 0.101316i
\(669\) −14.9751 12.9760i −0.578971 0.501681i
\(670\) 22.2883 10.0457i 0.861072 0.388100i
\(671\) 4.11340 + 28.6093i 0.158796 + 1.10445i
\(672\) 3.90044 + 1.45479i 0.150463 + 0.0561197i
\(673\) −7.66478 10.2389i −0.295456 0.394682i 0.628109 0.778125i \(-0.283829\pi\)
−0.923565 + 0.383443i \(0.874738\pi\)
\(674\) −10.2665 + 3.01452i −0.395452 + 0.116115i
\(675\) −0.406036 + 4.98349i −0.0156283 + 0.191814i
\(676\) −2.95320 + 6.46661i −0.113585 + 0.248716i
\(677\) −9.66573 + 5.27789i −0.371484 + 0.202846i −0.654136 0.756377i \(-0.726968\pi\)
0.282652 + 0.959223i \(0.408786\pi\)
\(678\) −1.28440 + 17.9582i −0.0493269 + 0.689680i
\(679\) −44.5764 + 38.6257i −1.71069 + 1.48232i
\(680\) −1.97740 + 4.27381i −0.0758299 + 0.163893i
\(681\) −16.5555 7.56063i −0.634407 0.289724i
\(682\) 24.2278 5.27043i 0.927730 0.201815i
\(683\) 5.01281 9.18027i 0.191810 0.351273i −0.764021 0.645192i \(-0.776778\pi\)
0.955831 + 0.293918i \(0.0949594\pi\)
\(684\) −0.707077 + 4.91783i −0.0270358 + 0.188038i
\(685\) 0.226011 + 0.124867i 0.00863543 + 0.00477093i
\(686\) −13.7207 + 1.97274i −0.523859 + 0.0753196i
\(687\) −0.805180 + 3.70135i −0.0307195 + 0.141215i
\(688\) 0.893072 0.0638738i 0.0340481 0.00243517i
\(689\) 23.1803 0.883100
\(690\) 2.70398 + 10.3773i 0.102939 + 0.395057i
\(691\) −32.6896 −1.24357 −0.621785 0.783188i \(-0.713592\pi\)
−0.621785 + 0.783188i \(0.713592\pi\)
\(692\) 2.02328 0.144708i 0.0769137 0.00550098i
\(693\) 2.12225 9.75581i 0.0806175 0.370593i
\(694\) 4.04963 0.582248i 0.153722 0.0221018i
\(695\) 16.7848 4.83838i 0.636684 0.183530i
\(696\) −0.539504 + 3.75233i −0.0204499 + 0.142232i
\(697\) −8.66041 + 15.8604i −0.328036 + 0.600754i
\(698\) 4.75837 1.03512i 0.180107 0.0391799i
\(699\) 8.20963 + 3.74921i 0.310517 + 0.141808i
\(700\) −4.22295 20.3817i −0.159612 0.770355i
\(701\) 21.6976 18.8011i 0.819507 0.710107i −0.140500 0.990081i \(-0.544871\pi\)
0.960008 + 0.279973i \(0.0903257\pi\)
\(702\) 0.173149 2.42095i 0.00653510 0.0913727i
\(703\) −9.46998 + 5.17100i −0.357167 + 0.195028i
\(704\) 0.996296 2.18158i 0.0375493 0.0822216i
\(705\) −12.8732 11.2667i −0.484831 0.424327i
\(706\) −13.9397 + 4.09308i −0.524629 + 0.154045i
\(707\) 44.1955 + 59.0382i 1.66214 + 2.22036i
\(708\) 11.5583 + 4.31102i 0.434387 + 0.162018i
\(709\) −3.32846 23.1499i −0.125003 0.869414i −0.951757 0.306851i \(-0.900725\pi\)
0.826755 0.562563i \(-0.190185\pi\)
\(710\) 12.4747 + 4.72328i 0.468168 + 0.177262i
\(711\) −0.667954 0.578786i −0.0250502 0.0217062i
\(712\) 8.57342 8.57342i 0.321302 0.321302i
\(713\) −21.7510 + 44.5547i −0.814580 + 1.66859i
\(714\) 8.76698i 0.328096i
\(715\) 12.9783 + 0.992799i 0.485360 + 0.0371286i
\(716\) 15.9625 10.2585i 0.596548 0.383378i
\(717\) −6.90795 + 9.22795i −0.257982 + 0.344624i
\(718\) −6.65908 + 17.8537i −0.248515 + 0.666294i
\(719\) 16.8280 + 2.41950i 0.627579 + 0.0902323i 0.448764 0.893650i \(-0.351864\pi\)
0.178815 + 0.983883i \(0.442774\pi\)
\(720\) 0.307269 + 2.21486i 0.0114513 + 0.0825428i
\(721\) −39.8493 25.6096i −1.48407 0.953751i
\(722\) 5.32656 1.98670i 0.198234 0.0739375i
\(723\) 2.05333 + 3.76040i 0.0763642 + 0.139851i
\(724\) 7.87710 + 9.09066i 0.292750 + 0.337852i
\(725\) 17.3188 7.70300i 0.643204 0.286082i
\(726\) 5.03550 + 1.47856i 0.186885 + 0.0548743i
\(727\) −6.80999 18.2583i −0.252569 0.677163i −0.999919 0.0127326i \(-0.995947\pi\)
0.747350 0.664430i \(-0.231326\pi\)
\(728\) 2.14774 + 9.87302i 0.0796007 + 0.365918i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) 4.15453 13.8943i 0.153766 0.514252i
\(731\) 0.783302 + 1.71519i 0.0289715 + 0.0634387i
\(732\) −9.64780 7.22225i −0.356593 0.266942i
\(733\) 4.90971 + 1.06804i 0.181344 + 0.0394490i 0.302320 0.953206i \(-0.402239\pi\)
−0.120976 + 0.992655i \(0.538602\pi\)
\(734\) −6.11356 + 7.05543i −0.225656 + 0.260421i
\(735\) −13.7506 18.5593i −0.507198 0.684572i
\(736\) 2.18925 + 4.26699i 0.0806968 + 0.157283i
\(737\) −18.5414 18.5414i −0.682981 0.682981i
\(738\) 0.612143 + 8.55887i 0.0225333 + 0.315057i
\(739\) 18.2846 + 28.4514i 0.672610 + 1.04660i 0.994988 + 0.0999901i \(0.0318811\pi\)
−0.322379 + 0.946611i \(0.604483\pi\)
\(740\) −3.45069 + 3.41670i −0.126850 + 0.125600i
\(741\) −10.9692 + 5.00947i −0.402964 + 0.184027i
\(742\) −31.8279 + 23.8260i −1.16844 + 0.874682i
\(743\) −31.0152 16.9356i −1.13784 0.621305i −0.203987 0.978974i \(-0.565390\pi\)
−0.933849 + 0.357668i \(0.883572\pi\)
\(744\) −5.58928 + 8.69709i −0.204913 + 0.318851i
\(745\) −12.1023 + 18.6282i −0.443394 + 0.682485i
\(746\) −1.23494 + 4.20582i −0.0452143 + 0.153986i
\(747\) 2.17825 + 0.155792i 0.0796982 + 0.00570012i
\(748\) 5.03792 + 0.360319i 0.184205 + 0.0131746i
\(749\) −14.9544 + 50.9299i −0.546421 + 1.86094i
\(750\) 8.55729 7.19533i 0.312468 0.262736i
\(751\) −23.9542 + 37.2734i −0.874100 + 1.36013i 0.0581483 + 0.998308i \(0.481480\pi\)
−0.932249 + 0.361819i \(0.882156\pi\)
\(752\) −6.71474 3.66653i −0.244862 0.133704i
\(753\) 6.59886 4.93985i 0.240476 0.180018i
\(754\) −8.36957 + 3.82226i −0.304802 + 0.139198i
\(755\) 0.123412 24.9394i 0.00449143 0.907639i
\(756\) 2.25064 + 3.50206i 0.0818550 + 0.127369i
\(757\) 2.52829 + 35.3501i 0.0918923 + 1.28482i 0.808979 + 0.587838i \(0.200021\pi\)
−0.717086 + 0.696984i \(0.754525\pi\)
\(758\) −12.3594 12.3594i −0.448912 0.448912i
\(759\) 9.38220 6.65346i 0.340552 0.241505i
\(760\) 8.92659 6.61369i 0.323802 0.239904i
\(761\) −9.90609 + 11.4322i −0.359095 + 0.414418i −0.906336 0.422557i \(-0.861133\pi\)
0.547241 + 0.836975i \(0.315678\pi\)
\(762\) 12.8388 + 2.79290i 0.465099 + 0.101176i
\(763\) −3.64025 2.72506i −0.131786 0.0986537i
\(764\) 0.567672 + 1.24303i 0.0205377 + 0.0449712i
\(765\) −4.14419 + 2.23635i −0.149834 + 0.0808554i
\(766\) 5.88598 + 20.0458i 0.212669 + 0.724284i
\(767\) 6.36447 + 29.2570i 0.229808 + 1.05641i
\(768\) 0.349464 + 0.936950i 0.0126102 + 0.0338093i
\(769\) 36.5309 + 10.7264i 1.31734 + 0.386806i 0.863532 0.504294i \(-0.168247\pi\)
0.453807 + 0.891100i \(0.350066\pi\)
\(770\) −18.8404 + 11.9766i −0.678959 + 0.431608i
\(771\) −6.25739 7.22141i −0.225354 0.260073i
\(772\) −6.78150 12.4194i −0.244072 0.446984i
\(773\) −27.7503 + 10.3503i −0.998107 + 0.372275i −0.794821 0.606845i