Properties

Label 400.2.bl.a.189.14
Level $400$
Weight $2$
Character 400.189
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bl (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 189.14
Character \(\chi\) \(=\) 400.189
Dual form 400.2.bl.a.309.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09102 + 0.899821i) q^{2} +(1.16138 + 2.27933i) q^{3} +(0.380645 - 1.96344i) q^{4} +(0.211114 + 2.22608i) q^{5} +(-3.31808 - 1.44176i) q^{6} +0.405092 q^{7} +(1.35146 + 2.48467i) q^{8} +(-2.08320 + 2.86728i) q^{9} +O(q^{10})\) \(q+(-1.09102 + 0.899821i) q^{2} +(1.16138 + 2.27933i) q^{3} +(0.380645 - 1.96344i) q^{4} +(0.211114 + 2.22608i) q^{5} +(-3.31808 - 1.44176i) q^{6} +0.405092 q^{7} +(1.35146 + 2.48467i) q^{8} +(-2.08320 + 2.86728i) q^{9} +(-2.23340 - 2.23873i) q^{10} +(-0.148300 + 0.936329i) q^{11} +(4.91741 - 1.41268i) q^{12} +(-1.95740 + 0.310022i) q^{13} +(-0.441963 + 0.364510i) q^{14} +(-4.82879 + 3.06652i) q^{15} +(-3.71022 - 1.49475i) q^{16} +(3.96184 - 1.28728i) q^{17} +(-0.307227 - 5.00277i) q^{18} +(-2.51737 + 4.94061i) q^{19} +(4.45114 + 0.432836i) q^{20} +(0.470465 + 0.923339i) q^{21} +(-0.680731 - 1.15500i) q^{22} +(4.30446 - 3.12737i) q^{23} +(-4.09383 + 5.96605i) q^{24} +(-4.91086 + 0.939912i) q^{25} +(1.85660 - 2.09955i) q^{26} +(-1.37489 - 0.217761i) q^{27} +(0.154196 - 0.795375i) q^{28} +(-4.08194 + 2.07985i) q^{29} +(2.50899 - 7.69068i) q^{30} +(-0.642556 - 1.97758i) q^{31} +(5.39293 - 1.70773i) q^{32} +(-2.30644 + 0.749407i) q^{33} +(-3.16412 + 4.96939i) q^{34} +(0.0855204 + 0.901767i) q^{35} +(4.83678 + 5.18166i) q^{36} +(-1.08298 - 6.83767i) q^{37} +(-1.69917 - 7.65547i) q^{38} +(-2.97993 - 4.10152i) q^{39} +(-5.24575 + 3.53300i) q^{40} +(6.12796 - 8.43441i) q^{41} +(-1.34413 - 0.584046i) q^{42} +(4.87314 + 4.87314i) q^{43} +(1.78198 + 0.647588i) q^{44} +(-6.82259 - 4.03205i) q^{45} +(-1.88217 + 7.28526i) q^{46} +(0.222136 + 0.0721764i) q^{47} +(-0.901935 - 10.1928i) q^{48} -6.83590 q^{49} +(4.51209 - 5.44436i) q^{50} +(7.53532 + 7.53532i) q^{51} +(-0.136364 + 3.96125i) q^{52} +(-6.20472 + 3.16146i) q^{53} +(1.69598 - 0.999574i) q^{54} +(-2.11565 - 0.132456i) q^{55} +(0.547464 + 1.00652i) q^{56} -14.1849 q^{57} +(2.58198 - 5.94217i) q^{58} +(-3.94820 + 0.625333i) q^{59} +(4.18288 + 10.6483i) q^{60} +(-4.88906 - 0.774351i) q^{61} +(2.48051 + 1.57940i) q^{62} +(-0.843888 + 1.16151i) q^{63} +(-4.34713 + 6.71584i) q^{64} +(-1.10337 - 4.29188i) q^{65} +(1.84204 - 2.89300i) q^{66} +(9.11255 + 4.64308i) q^{67} +(-1.01945 - 8.26884i) q^{68} +(12.1274 + 6.17923i) q^{69} +(-0.904733 - 0.906892i) q^{70} +(8.84689 + 2.87453i) q^{71} +(-9.93959 - 1.30106i) q^{72} +(2.31377 - 1.68105i) q^{73} +(7.33423 + 6.48554i) q^{74} +(-7.84574 - 10.1019i) q^{75} +(8.74238 + 6.82332i) q^{76} +(-0.0600751 + 0.379299i) q^{77} +(6.94178 + 1.79343i) q^{78} +(3.24609 - 9.99044i) q^{79} +(2.54415 - 8.57481i) q^{80} +(2.18519 + 6.72533i) q^{81} +(0.903739 + 14.7162i) q^{82} +(15.9875 + 8.14604i) q^{83} +(1.99200 - 0.572266i) q^{84} +(3.70198 + 8.54760i) q^{85} +(-9.70165 - 0.931736i) q^{86} +(-9.48134 - 6.88860i) q^{87} +(-2.52689 + 0.896932i) q^{88} +(8.28690 + 11.4059i) q^{89} +(11.0717 - 1.74006i) q^{90} +(-0.792927 + 0.125587i) q^{91} +(-4.50195 - 9.64198i) q^{92} +(3.76132 - 3.76132i) q^{93} +(-0.307301 + 0.121137i) q^{94} +(-11.5296 - 4.56083i) q^{95} +(10.1557 + 10.3089i) q^{96} +(4.21925 + 1.37092i) q^{97} +(7.45810 - 6.15109i) q^{98} +(-2.37578 - 2.37578i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 10q^{2} - 10q^{3} - 6q^{4} - 8q^{5} - 6q^{6} - 40q^{8} + O(q^{10}) \) \( 464q - 10q^{2} - 10q^{3} - 6q^{4} - 8q^{5} - 6q^{6} - 40q^{8} - 2q^{10} - 6q^{11} - 10q^{12} - 10q^{13} - 18q^{14} - 16q^{15} - 6q^{16} - 20q^{17} - 6q^{19} + 6q^{20} - 24q^{21} - 10q^{22} - 16q^{24} - 36q^{26} - 10q^{27} - 50q^{28} - 6q^{29} + 14q^{30} - 36q^{31} - 20q^{33} - 46q^{34} - 36q^{35} + 38q^{36} - 10q^{37} + 60q^{38} - 84q^{40} - 70q^{42} + 36q^{44} - 24q^{45} + 2q^{46} - 20q^{47} - 140q^{48} + 336q^{49} - 46q^{50} - 28q^{51} + 80q^{52} - 10q^{53} - 30q^{54} - 48q^{56} - 10q^{58} - 6q^{59} + 112q^{60} - 6q^{61} - 10q^{62} - 160q^{63} - 24q^{64} - 48q^{65} - 104q^{66} - 70q^{67} + 6q^{69} - 100q^{70} - 10q^{72} + 28q^{74} - 46q^{75} + 44q^{76} - 80q^{77} - 10q^{78} - 52q^{79} - 2q^{80} + 72q^{81} - 10q^{83} + 28q^{84} - 18q^{85} + 34q^{86} + 100q^{88} + 74q^{90} - 48q^{91} + 80q^{92} - 6q^{94} - 40q^{95} + 54q^{96} - 20q^{97} - 100q^{98} - 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{3}{10}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09102 + 0.899821i −0.771467 + 0.636269i
\(3\) 1.16138 + 2.27933i 0.670522 + 1.31597i 0.936049 + 0.351870i \(0.114454\pi\)
−0.265527 + 0.964103i \(0.585546\pi\)
\(4\) 0.380645 1.96344i 0.190322 0.981722i
\(5\) 0.211114 + 2.22608i 0.0944129 + 0.995533i
\(6\) −3.31808 1.44176i −1.35460 0.588597i
\(7\) 0.405092 0.153110 0.0765552 0.997065i \(-0.475608\pi\)
0.0765552 + 0.997065i \(0.475608\pi\)
\(8\) 1.35146 + 2.48467i 0.477812 + 0.878462i
\(9\) −2.08320 + 2.86728i −0.694400 + 0.955760i
\(10\) −2.23340 2.23873i −0.706264 0.707949i
\(11\) −0.148300 + 0.936329i −0.0447141 + 0.282314i −0.999907 0.0136717i \(-0.995648\pi\)
0.955192 + 0.295986i \(0.0956480\pi\)
\(12\) 4.91741 1.41268i 1.41953 0.407806i
\(13\) −1.95740 + 0.310022i −0.542885 + 0.0859846i −0.421854 0.906664i \(-0.638620\pi\)
−0.121032 + 0.992649i \(0.538620\pi\)
\(14\) −0.441963 + 0.364510i −0.118120 + 0.0974194i
\(15\) −4.82879 + 3.06652i −1.24679 + 0.791771i
\(16\) −3.71022 1.49475i −0.927555 0.373687i
\(17\) 3.96184 1.28728i 0.960886 0.312211i 0.213755 0.976887i \(-0.431431\pi\)
0.747131 + 0.664676i \(0.231431\pi\)
\(18\) −0.307227 5.00277i −0.0724140 1.17916i
\(19\) −2.51737 + 4.94061i −0.577523 + 1.13345i 0.398780 + 0.917047i \(0.369434\pi\)
−0.976303 + 0.216407i \(0.930566\pi\)
\(20\) 4.45114 + 0.432836i 0.995305 + 0.0967851i
\(21\) 0.470465 + 0.923339i 0.102664 + 0.201489i
\(22\) −0.680731 1.15500i −0.145132 0.246246i
\(23\) 4.30446 3.12737i 0.897542 0.652102i −0.0402917 0.999188i \(-0.512829\pi\)
0.937833 + 0.347086i \(0.112829\pi\)
\(24\) −4.09383 + 5.96605i −0.835649 + 1.21782i
\(25\) −4.91086 + 0.939912i −0.982172 + 0.187982i
\(26\) 1.85660 2.09955i 0.364109 0.411756i
\(27\) −1.37489 0.217761i −0.264598 0.0419082i
\(28\) 0.154196 0.795375i 0.0291403 0.150312i
\(29\) −4.08194 + 2.07985i −0.757997 + 0.386219i −0.789871 0.613273i \(-0.789852\pi\)
0.0318740 + 0.999492i \(0.489852\pi\)
\(30\) 2.50899 7.69068i 0.458076 1.40412i
\(31\) −0.642556 1.97758i −0.115406 0.355184i 0.876625 0.481174i \(-0.159789\pi\)
−0.992032 + 0.125990i \(0.959789\pi\)
\(32\) 5.39293 1.70773i 0.953344 0.301887i
\(33\) −2.30644 + 0.749407i −0.401499 + 0.130455i
\(34\) −3.16412 + 4.96939i −0.542642 + 0.852243i
\(35\) 0.0855204 + 0.901767i 0.0144556 + 0.152426i
\(36\) 4.83678 + 5.18166i 0.806131 + 0.863611i
\(37\) −1.08298 6.83767i −0.178041 1.12411i −0.901193 0.433418i \(-0.857308\pi\)
0.723152 0.690689i \(-0.242692\pi\)
\(38\) −1.69917 7.65547i −0.275641 1.24188i
\(39\) −2.97993 4.10152i −0.477170 0.656768i
\(40\) −5.24575 + 3.53300i −0.829427 + 0.558616i
\(41\) 6.12796 8.43441i 0.957026 1.31723i 0.00869110 0.999962i \(-0.497234\pi\)
0.948335 0.317271i \(-0.102766\pi\)
\(42\) −1.34413 0.584046i −0.207403 0.0901203i
\(43\) 4.87314 + 4.87314i 0.743148 + 0.743148i 0.973182 0.230035i \(-0.0738840\pi\)
−0.230035 + 0.973182i \(0.573884\pi\)
\(44\) 1.78198 + 0.647588i 0.268644 + 0.0976275i
\(45\) −6.82259 4.03205i −1.01705 0.601063i
\(46\) −1.88217 + 7.28526i −0.277511 + 1.07415i
\(47\) 0.222136 + 0.0721764i 0.0324019 + 0.0105280i 0.325173 0.945655i \(-0.394577\pi\)
−0.292771 + 0.956183i \(0.594577\pi\)
\(48\) −0.901935 10.1928i −0.130183 1.47120i
\(49\) −6.83590 −0.976557
\(50\) 4.51209 5.44436i 0.638106 0.769948i
\(51\) 7.53532 + 7.53532i 1.05516 + 1.05516i
\(52\) −0.136364 + 3.96125i −0.0189103 + 0.549327i
\(53\) −6.20472 + 3.16146i −0.852284 + 0.434260i −0.824842 0.565363i \(-0.808736\pi\)
−0.0274419 + 0.999623i \(0.508736\pi\)
\(54\) 1.69598 0.999574i 0.230794 0.136025i
\(55\) −2.11565 0.132456i −0.285274 0.0178603i
\(56\) 0.547464 + 1.00652i 0.0731579 + 0.134502i
\(57\) −14.1849 −1.87884
\(58\) 2.58198 5.94217i 0.339030 0.780245i
\(59\) −3.94820 + 0.625333i −0.514011 + 0.0814114i −0.408051 0.912959i \(-0.633792\pi\)
−0.105960 + 0.994370i \(0.533792\pi\)
\(60\) 4.18288 + 10.6483i 0.540007 + 1.37469i
\(61\) −4.88906 0.774351i −0.625980 0.0991455i −0.164618 0.986357i \(-0.552639\pi\)
−0.461362 + 0.887212i \(0.652639\pi\)
\(62\) 2.48051 + 1.57940i 0.315025 + 0.200583i
\(63\) −0.843888 + 1.16151i −0.106320 + 0.146337i
\(64\) −4.34713 + 6.71584i −0.543391 + 0.839479i
\(65\) −1.10337 4.29188i −0.136856 0.532342i
\(66\) 1.84204 2.89300i 0.226739 0.356103i
\(67\) 9.11255 + 4.64308i 1.11328 + 0.567242i 0.911132 0.412114i \(-0.135209\pi\)
0.202143 + 0.979356i \(0.435209\pi\)
\(68\) −1.01945 8.26884i −0.123626 1.00274i
\(69\) 12.1274 + 6.17923i 1.45997 + 0.743892i
\(70\) −0.904733 0.906892i −0.108136 0.108394i
\(71\) 8.84689 + 2.87453i 1.04993 + 0.341144i 0.782642 0.622472i \(-0.213872\pi\)
0.267291 + 0.963616i \(0.413872\pi\)
\(72\) −9.93959 1.30106i −1.17139 0.153331i
\(73\) 2.31377 1.68105i 0.270806 0.196752i −0.444091 0.895982i \(-0.646473\pi\)
0.714897 + 0.699229i \(0.246473\pi\)
\(74\) 7.33423 + 6.48554i 0.852587 + 0.753929i
\(75\) −7.84574 10.1019i −0.905948 1.16647i
\(76\) 8.74238 + 6.82332i 1.00282 + 0.782689i
\(77\) −0.0600751 + 0.379299i −0.00684619 + 0.0432252i
\(78\) 6.94178 + 1.79343i 0.786002 + 0.203066i
\(79\) 3.24609 9.99044i 0.365214 1.12401i −0.584633 0.811298i \(-0.698762\pi\)
0.949847 0.312715i \(-0.101238\pi\)
\(80\) 2.54415 8.57481i 0.284445 0.958692i
\(81\) 2.18519 + 6.72533i 0.242799 + 0.747259i
\(82\) 0.903739 + 14.7162i 0.0998013 + 1.62513i
\(83\) 15.9875 + 8.14604i 1.75486 + 0.894144i 0.956383 + 0.292115i \(0.0943590\pi\)
0.798474 + 0.602029i \(0.205641\pi\)
\(84\) 1.99200 0.572266i 0.217345 0.0624394i
\(85\) 3.70198 + 8.54760i 0.401536 + 0.927117i
\(86\) −9.70165 0.931736i −1.04616 0.100472i
\(87\) −9.48134 6.88860i −1.01651 0.738535i
\(88\) −2.52689 + 0.896932i −0.269367 + 0.0956133i
\(89\) 8.28690 + 11.4059i 0.878410 + 1.20903i 0.976859 + 0.213885i \(0.0686118\pi\)
−0.0984492 + 0.995142i \(0.531388\pi\)
\(90\) 11.0717 1.74006i 1.16706 0.183419i
\(91\) −0.792927 + 0.125587i −0.0831214 + 0.0131651i
\(92\) −4.50195 9.64198i −0.469360 1.00525i
\(93\) 3.76132 3.76132i 0.390031 0.390031i
\(94\) −0.307301 + 0.121137i −0.0316956 + 0.0124943i
\(95\) −11.5296 4.56083i −1.18292 0.467931i
\(96\) 10.1557 + 10.3089i 1.03651 + 1.05215i
\(97\) 4.21925 + 1.37092i 0.428400 + 0.139195i 0.515277 0.857024i \(-0.327689\pi\)
−0.0868777 + 0.996219i \(0.527689\pi\)
\(98\) 7.45810 6.15109i 0.753382 0.621353i
\(99\) −2.37578 2.37578i −0.238775 0.238775i
\(100\) −0.0238316 + 9.99997i −0.00238316 + 0.999997i
\(101\) 6.12879 6.12879i 0.609838 0.609838i −0.333066 0.942904i \(-0.608083\pi\)
0.942904 + 0.333066i \(0.108083\pi\)
\(102\) −15.0016 1.44074i −1.48538 0.142655i
\(103\) 3.78362 11.6448i 0.372812 1.14740i −0.572132 0.820162i \(-0.693883\pi\)
0.944943 0.327234i \(-0.106117\pi\)
\(104\) −3.41564 4.44451i −0.334931 0.435820i
\(105\) −1.95610 + 1.24222i −0.190896 + 0.121228i
\(106\) 3.92472 9.03236i 0.381202 0.877300i
\(107\) 0.869482 + 0.869482i 0.0840560 + 0.0840560i 0.747885 0.663829i \(-0.231070\pi\)
−0.663829 + 0.747885i \(0.731070\pi\)
\(108\) −0.950908 + 2.61663i −0.0915011 + 0.251786i
\(109\) −0.848242 5.35559i −0.0812468 0.512972i −0.994428 0.105418i \(-0.966382\pi\)
0.913181 0.407554i \(-0.133618\pi\)
\(110\) 2.42740 1.75920i 0.231444 0.167733i
\(111\) 14.3276 10.4096i 1.35991 0.988035i
\(112\) −1.50298 0.605511i −0.142018 0.0572154i
\(113\) −10.7091 + 14.7398i −1.00742 + 1.38660i −0.0867654 + 0.996229i \(0.527653\pi\)
−0.920658 + 0.390370i \(0.872347\pi\)
\(114\) 15.4760 12.7639i 1.44946 1.19545i
\(115\) 7.87051 + 8.92184i 0.733929 + 0.831966i
\(116\) 2.52990 + 8.80634i 0.234895 + 0.817648i
\(117\) 3.18874 6.25826i 0.294799 0.578576i
\(118\) 3.74487 4.23492i 0.344743 0.389856i
\(119\) 1.60491 0.521466i 0.147122 0.0478027i
\(120\) −14.1452 7.85367i −1.29127 0.716939i
\(121\) 9.60690 + 3.12147i 0.873355 + 0.283770i
\(122\) 6.03083 3.55445i 0.546006 0.321804i
\(123\) 26.3417 + 4.17211i 2.37515 + 0.376187i
\(124\) −4.12746 + 0.508865i −0.370657 + 0.0456974i
\(125\) −3.12907 10.7335i −0.279872 0.960037i
\(126\) −0.124455 2.02658i −0.0110873 0.180542i
\(127\) 7.63372 + 10.5069i 0.677383 + 0.932338i 0.999899 0.0142262i \(-0.00452850\pi\)
−0.322516 + 0.946564i \(0.604529\pi\)
\(128\) −1.30025 11.2387i −0.114927 0.993374i
\(129\) −5.44795 + 16.7671i −0.479666 + 1.47626i
\(130\) 5.06572 + 3.68969i 0.444293 + 0.323607i
\(131\) 2.61904 5.14015i 0.228826 0.449097i −0.747834 0.663886i \(-0.768906\pi\)
0.976661 + 0.214788i \(0.0689062\pi\)
\(132\) 0.593484 + 4.81382i 0.0516562 + 0.418989i
\(133\) −1.01976 + 2.00140i −0.0884248 + 0.173543i
\(134\) −14.1199 + 3.13398i −1.21977 + 0.270735i
\(135\) 0.194496 3.10659i 0.0167395 0.267373i
\(136\) 8.55271 + 8.10414i 0.733388 + 0.694924i
\(137\) −6.70036 4.86809i −0.572450 0.415909i 0.263544 0.964647i \(-0.415108\pi\)
−0.835994 + 0.548738i \(0.815108\pi\)
\(138\) −18.7914 + 4.17085i −1.59963 + 0.355046i
\(139\) 1.50503 9.50236i 0.127655 0.805980i −0.837909 0.545811i \(-0.816222\pi\)
0.965563 0.260169i \(-0.0837782\pi\)
\(140\) 1.80312 + 0.175338i 0.152392 + 0.0148188i
\(141\) 0.0934700 + 0.590146i 0.00787159 + 0.0496993i
\(142\) −12.2387 + 4.82445i −1.02705 + 0.404859i
\(143\) 1.87875i 0.157109i
\(144\) 12.0150 7.52438i 1.00125 0.627031i
\(145\) −5.49167 8.64763i −0.456058 0.718147i
\(146\) −1.01172 + 3.91603i −0.0837305 + 0.324093i
\(147\) −7.93906 15.5813i −0.654803 1.28512i
\(148\) −13.8376 0.476354i −1.13744 0.0391560i
\(149\) 4.34620 4.34620i 0.356055 0.356055i −0.506302 0.862356i \(-0.668988\pi\)
0.862356 + 0.506302i \(0.168988\pi\)
\(150\) 17.6497 + 3.96160i 1.44110 + 0.323463i
\(151\) 8.80488i 0.716531i 0.933620 + 0.358266i \(0.116632\pi\)
−0.933620 + 0.358266i \(0.883368\pi\)
\(152\) −15.6779 + 0.422203i −1.27164 + 0.0342452i
\(153\) −4.56231 + 14.0414i −0.368841 + 1.13518i
\(154\) −0.275758 0.467880i −0.0222212 0.0377028i
\(155\) 4.26660 1.84787i 0.342702 0.148425i
\(156\) −9.18739 + 4.28969i −0.735580 + 0.343450i
\(157\) −7.40397 + 7.40397i −0.590901 + 0.590901i −0.937875 0.346974i \(-0.887209\pi\)
0.346974 + 0.937875i \(0.387209\pi\)
\(158\) 5.44806 + 13.8207i 0.433424 + 1.09951i
\(159\) −14.4121 10.4710i −1.14295 0.830402i
\(160\) 4.94007 + 11.6446i 0.390547 + 0.920583i
\(161\) 1.74370 1.26687i 0.137423 0.0998436i
\(162\) −8.43568 5.37118i −0.662770 0.422000i
\(163\) −9.40244 + 1.48920i −0.736456 + 0.116643i −0.513384 0.858159i \(-0.671608\pi\)
−0.223072 + 0.974802i \(0.571608\pi\)
\(164\) −14.2279 15.2424i −1.11101 1.19023i
\(165\) −2.15516 4.97610i −0.167779 0.387389i
\(166\) −24.7727 + 5.49841i −1.92273 + 0.426759i
\(167\) 7.84336 + 24.1394i 0.606937 + 1.86796i 0.482883 + 0.875685i \(0.339590\pi\)
0.124054 + 0.992275i \(0.460410\pi\)
\(168\) −1.65838 + 2.41680i −0.127947 + 0.186460i
\(169\) −8.62843 + 2.80355i −0.663725 + 0.215657i
\(170\) −11.7302 5.99447i −0.899668 0.459755i
\(171\) −8.92193 17.5103i −0.682277 1.33904i
\(172\) 11.4231 7.71320i 0.871002 0.588126i
\(173\) 0.704613 4.44875i 0.0535707 0.338232i −0.946317 0.323240i \(-0.895228\pi\)
0.999888 0.0149919i \(-0.00477223\pi\)
\(174\) 16.5428 1.01592i 1.25411 0.0770165i
\(175\) −1.98935 + 0.380751i −0.150381 + 0.0287820i
\(176\) 1.94980 3.25232i 0.146972 0.245152i
\(177\) −6.01069 8.27301i −0.451791 0.621837i
\(178\) −19.3045 4.98737i −1.44693 0.373819i
\(179\) 4.93782 2.51594i 0.369070 0.188051i −0.259612 0.965713i \(-0.583595\pi\)
0.628682 + 0.777662i \(0.283595\pi\)
\(180\) −10.5137 + 11.8610i −0.783644 + 0.884066i
\(181\) −19.0719 9.71762i −1.41760 0.722305i −0.433709 0.901053i \(-0.642795\pi\)
−0.983895 + 0.178748i \(0.942795\pi\)
\(182\) 0.752093 0.850511i 0.0557488 0.0630440i
\(183\) −3.91304 12.0431i −0.289260 0.890252i
\(184\) 13.5878 + 6.46864i 1.00170 + 0.476874i
\(185\) 14.9926 3.85433i 1.10228 0.283376i
\(186\) −0.719157 + 7.48818i −0.0527312 + 0.549060i
\(187\) 0.617776 + 3.90049i 0.0451763 + 0.285232i
\(188\) 0.226269 0.408678i 0.0165024 0.0298059i
\(189\) −0.556957 0.0882134i −0.0405127 0.00641658i
\(190\) 16.6830 5.39866i 1.21031 0.391660i
\(191\) −18.6703 13.5648i −1.35094 0.981513i −0.998964 0.0455020i \(-0.985511\pi\)
−0.351972 0.936011i \(-0.614489\pi\)
\(192\) −20.3563 2.10894i −1.46909 0.152199i
\(193\) 14.2271i 1.02409i −0.858959 0.512045i \(-0.828888\pi\)
0.858959 0.512045i \(-0.171112\pi\)
\(194\) −5.83686 + 2.30087i −0.419062 + 0.165193i
\(195\) 8.50120 7.49944i 0.608783 0.537046i
\(196\) −2.60205 + 13.4219i −0.185861 + 0.958707i
\(197\) 23.1845 11.8131i 1.65183 0.841649i 0.655579 0.755127i \(-0.272425\pi\)
0.996250 0.0865221i \(-0.0275753\pi\)
\(198\) 4.72980 + 0.454245i 0.336132 + 0.0322818i
\(199\) 14.2961i 1.01343i 0.862115 + 0.506713i \(0.169140\pi\)
−0.862115 + 0.506713i \(0.830860\pi\)
\(200\) −8.97218 10.9316i −0.634429 0.772981i
\(201\) 26.1629i 1.84539i
\(202\) −1.17181 + 12.2014i −0.0824486 + 0.858491i
\(203\) −1.65356 + 0.842531i −0.116057 + 0.0591341i
\(204\) 17.6635 11.9269i 1.23669 0.835050i
\(205\) 20.0694 + 11.8607i 1.40170 + 0.828387i
\(206\) 6.35023 + 16.1093i 0.442441 + 1.12239i
\(207\) 18.8570i 1.31065i
\(208\) 7.72579 + 1.77558i 0.535687 + 0.123114i
\(209\) −4.25271 3.08977i −0.294166 0.213724i
\(210\) 1.01637 3.11543i 0.0701362 0.214985i
\(211\) −12.1543 1.92506i −0.836740 0.132527i −0.276663 0.960967i \(-0.589228\pi\)
−0.560077 + 0.828441i \(0.689228\pi\)
\(212\) 3.84556 + 13.3860i 0.264114 + 0.919355i
\(213\) 3.72258 + 23.5034i 0.255067 + 1.61043i
\(214\) −1.73100 0.166243i −0.118329 0.0113642i
\(215\) −9.81922 + 11.8768i −0.669665 + 0.809991i
\(216\) −1.31704 3.71044i −0.0896133 0.252464i
\(217\) −0.260294 0.801103i −0.0176699 0.0543824i
\(218\) 5.74452 + 5.07978i 0.389068 + 0.344046i
\(219\) 6.51883 + 3.32151i 0.440502 + 0.224447i
\(220\) −1.06538 + 4.10354i −0.0718280 + 0.276661i
\(221\) −7.35582 + 3.74798i −0.494806 + 0.252116i
\(222\) −6.26489 + 24.2493i −0.420472 + 1.62751i
\(223\) −4.43355 6.10226i −0.296892 0.408637i 0.634345 0.773050i \(-0.281270\pi\)
−0.931238 + 0.364413i \(0.881270\pi\)
\(224\) 2.18463 0.691788i 0.145967 0.0462221i
\(225\) 7.53532 16.0388i 0.502355 1.06926i
\(226\) −1.57935 25.7176i −0.105057 1.71071i
\(227\) 1.85281 11.6982i 0.122975 0.776435i −0.846706 0.532061i \(-0.821418\pi\)
0.969681 0.244374i \(-0.0785823\pi\)
\(228\) −5.39941 + 27.8512i −0.357585 + 1.84449i
\(229\) −3.06906 6.02337i −0.202809 0.398036i 0.767091 0.641538i \(-0.221704\pi\)
−0.969900 + 0.243503i \(0.921704\pi\)
\(230\) −16.6149 2.65184i −1.09556 0.174857i
\(231\) −0.934319 + 0.303579i −0.0614737 + 0.0199740i
\(232\) −10.6843 7.33142i −0.701458 0.481332i
\(233\) −5.66653 17.4398i −0.371227 1.14252i −0.945989 0.324198i \(-0.894905\pi\)
0.574762 0.818320i \(-0.305095\pi\)
\(234\) 2.15233 + 9.69717i 0.140702 + 0.633924i
\(235\) −0.113775 + 0.509730i −0.00742183 + 0.0332511i
\(236\) −0.275055 + 7.99009i −0.0179046 + 0.520111i
\(237\) 26.5415 4.20376i 1.72405 0.273063i
\(238\) −1.28176 + 2.01306i −0.0830841 + 0.130487i
\(239\) −6.99174 + 5.07980i −0.452258 + 0.328585i −0.790487 0.612479i \(-0.790172\pi\)
0.338229 + 0.941064i \(0.390172\pi\)
\(240\) 22.4996 4.15962i 1.45234 0.268502i
\(241\) −16.1027 11.6993i −1.03727 0.753617i −0.0675154 0.997718i \(-0.521507\pi\)
−0.969750 + 0.244101i \(0.921507\pi\)
\(242\) −13.2901 + 5.23891i −0.854319 + 0.336770i
\(243\) −15.7444 + 15.7444i −1.01000 + 1.01000i
\(244\) −3.38139 + 9.30464i −0.216471 + 0.595668i
\(245\) −1.44315 15.2173i −0.0921996 0.972195i
\(246\) −32.4934 + 19.1509i −2.07171 + 1.22102i
\(247\) 3.39580 10.4512i 0.216069 0.664993i
\(248\) 4.04525 4.26915i 0.256873 0.271091i
\(249\) 45.9015i 2.90889i
\(250\) 13.0721 + 8.89490i 0.826755 + 0.562563i
\(251\) −1.97890 + 1.97890i −0.124907 + 0.124907i −0.766797 0.641890i \(-0.778151\pi\)
0.641890 + 0.766797i \(0.278151\pi\)
\(252\) 1.95934 + 2.09905i 0.123427 + 0.132228i
\(253\) 2.28990 + 4.49418i 0.143965 + 0.282547i
\(254\) −17.7829 4.59426i −1.11580 0.288270i
\(255\) −15.1834 + 18.3650i −0.950823 + 1.15006i
\(256\) 11.5314 + 11.0917i 0.720716 + 0.693231i
\(257\) 8.08525i 0.504344i −0.967682 0.252172i \(-0.918855\pi\)
0.967682 0.252172i \(-0.0811448\pi\)
\(258\) −9.14354 23.1954i −0.569252 1.44408i
\(259\) −0.438707 2.76988i −0.0272599 0.172112i
\(260\) −8.84686 + 0.532717i −0.548659 + 0.0330377i
\(261\) 2.53998 16.0368i 0.157221 0.992654i
\(262\) 1.76780 + 7.96467i 0.109215 + 0.492059i
\(263\) 5.36648 + 3.89898i 0.330912 + 0.240421i 0.740817 0.671707i \(-0.234438\pi\)
−0.409906 + 0.912128i \(0.634438\pi\)
\(264\) −4.97908 4.71794i −0.306441 0.290369i
\(265\) −8.34757 13.1448i −0.512787 0.807477i
\(266\) −0.688319 3.10117i −0.0422036 0.190145i
\(267\) −16.3737 + 32.1352i −1.00205 + 1.96664i
\(268\) 12.5851 16.1246i 0.768755 0.984968i
\(269\) −0.350478 + 0.687852i −0.0213690 + 0.0419391i −0.901444 0.432895i \(-0.857492\pi\)
0.880075 + 0.474834i \(0.157492\pi\)
\(270\) 2.58318 + 3.56436i 0.157207 + 0.216920i
\(271\) 5.27648 16.2393i 0.320524 0.986470i −0.652897 0.757446i \(-0.726447\pi\)
0.973421 0.229024i \(-0.0735533\pi\)
\(272\) −16.6234 1.14587i −1.00794 0.0694784i
\(273\) −1.20714 1.66149i −0.0730596 0.100558i
\(274\) 11.6906 0.717937i 0.706257 0.0433722i
\(275\) −0.151786 4.73757i −0.00915304 0.285686i
\(276\) 16.7488 21.4594i 1.00816 1.29170i
\(277\) 20.0362 + 3.17343i 1.20386 + 0.190673i 0.725957 0.687740i \(-0.241397\pi\)
0.477903 + 0.878412i \(0.341397\pi\)
\(278\) 6.90841 + 11.7215i 0.414339 + 0.703009i
\(279\) 7.00886 + 2.27732i 0.419609 + 0.136339i
\(280\) −2.12501 + 1.43119i −0.126994 + 0.0855298i
\(281\) 24.5189 7.96668i 1.46268 0.475252i 0.533789 0.845617i \(-0.320767\pi\)
0.928886 + 0.370365i \(0.120767\pi\)
\(282\) −0.633004 0.559755i −0.0376948 0.0333329i
\(283\) 14.8409 29.1269i 0.882200 1.73141i 0.230283 0.973124i \(-0.426035\pi\)
0.651917 0.758291i \(-0.273965\pi\)
\(284\) 9.01150 16.2762i 0.534734 0.965814i
\(285\) −2.99463 31.5767i −0.177386 1.87044i
\(286\) 1.69054 + 2.04975i 0.0999635 + 0.121204i
\(287\) 2.48238 3.41671i 0.146531 0.201682i
\(288\) −6.33800 + 19.0206i −0.373470 + 1.12080i
\(289\) 0.285768 0.207622i 0.0168099 0.0122131i
\(290\) 13.7728 + 4.49322i 0.808769 + 0.263851i
\(291\) 1.77537 + 11.2092i 0.104074 + 0.657096i
\(292\) −2.41992 5.18283i −0.141615 0.303302i
\(293\) −15.6640 15.6640i −0.915100 0.915100i 0.0815682 0.996668i \(-0.474007\pi\)
−0.996668 + 0.0815682i \(0.974007\pi\)
\(294\) 22.6820 + 9.85575i 1.32284 + 0.574799i
\(295\) −2.22556 8.65699i −0.129577 0.504029i
\(296\) 15.5257 11.9317i 0.902415 0.693514i
\(297\) 0.407793 1.25506i 0.0236625 0.0728258i
\(298\) −0.830986 + 8.65259i −0.0481377 + 0.501231i
\(299\) −7.45600 + 7.45600i −0.431192 + 0.431192i
\(300\) −22.8209 + 11.5594i −1.31757 + 0.667384i
\(301\) 1.97407 + 1.97407i 0.113784 + 0.113784i
\(302\) −7.92282 9.60629i −0.455907 0.552780i
\(303\) 21.0874 + 6.85171i 1.21144 + 0.393621i
\(304\) 16.7249 14.5679i 0.959241 0.835527i
\(305\) 0.691620 11.0469i 0.0396020 0.632544i
\(306\) −7.65713 19.4247i −0.437729 1.11043i
\(307\) 3.57728 3.57728i 0.204166 0.204166i −0.597616 0.801782i \(-0.703885\pi\)
0.801782 + 0.597616i \(0.203885\pi\)
\(308\) 0.721865 + 0.262332i 0.0411321 + 0.0149478i
\(309\) 30.9366 4.89987i 1.75992 0.278744i
\(310\) −2.99219 + 5.85525i −0.169945 + 0.332556i
\(311\) −7.05324 9.70796i −0.399953 0.550488i 0.560779 0.827965i \(-0.310502\pi\)
−0.960732 + 0.277478i \(0.910502\pi\)
\(312\) 6.16366 12.9471i 0.348948 0.732987i
\(313\) −25.2844 18.3702i −1.42916 1.03834i −0.990173 0.139848i \(-0.955338\pi\)
−0.438984 0.898495i \(-0.644662\pi\)
\(314\) 1.41563 14.7401i 0.0798884 0.831833i
\(315\) −2.76377 1.63335i −0.155721 0.0920289i
\(316\) −18.3801 10.1763i −1.03396 0.572463i
\(317\) 14.9329 + 7.60869i 0.838715 + 0.427347i 0.819921 0.572477i \(-0.194017\pi\)
0.0187941 + 0.999823i \(0.494017\pi\)
\(318\) 25.1458 1.54424i 1.41011 0.0865966i
\(319\) −1.34207 4.13048i −0.0751417 0.231262i
\(320\) −15.8677 8.25926i −0.887033 0.461707i
\(321\) −0.972041 + 2.99163i −0.0542540 + 0.166977i
\(322\) −0.762452 + 2.95120i −0.0424898 + 0.164464i
\(323\) −3.61345 + 22.8144i −0.201058 + 1.26943i
\(324\) 14.0366 1.73054i 0.779811 0.0961411i
\(325\) 9.32113 3.36226i 0.517044 0.186505i
\(326\) 8.91823 10.0853i 0.493935 0.558571i
\(327\) 11.2220 8.15329i 0.620580 0.450878i
\(328\) 29.2384 + 3.82719i 1.61442 + 0.211321i
\(329\) 0.0899856 + 0.0292381i 0.00496107 + 0.00161195i
\(330\) 6.82892 + 3.48977i 0.375920 + 0.192105i
\(331\) −15.1370 7.71268i −0.832004 0.423927i −0.0145311 0.999894i \(-0.504626\pi\)
−0.817473 + 0.575967i \(0.804626\pi\)
\(332\) 22.0799 28.2898i 1.21179 1.55261i
\(333\) 21.8616 + 11.1390i 1.19801 + 0.610415i
\(334\) −30.2784 19.2789i −1.65676 1.05489i
\(335\) −8.41208 + 21.2655i −0.459601 + 1.16186i
\(336\) −0.365367 4.12902i −0.0199324 0.225256i
\(337\) 0.647939 0.891811i 0.0352955 0.0485801i −0.791005 0.611810i \(-0.790442\pi\)
0.826300 + 0.563230i \(0.190442\pi\)
\(338\) 6.89109 10.8228i 0.374826 0.588681i
\(339\) −46.0341 7.29108i −2.50023 0.395997i
\(340\) 18.1919 4.01503i 0.986593 0.217746i
\(341\) 1.94696 0.308368i 0.105434 0.0166991i
\(342\) 25.4901 + 11.0759i 1.37835 + 0.598916i
\(343\) −5.60481 −0.302631
\(344\) −5.52230 + 18.6940i −0.297742 + 1.00791i
\(345\) −11.1952 + 28.3011i −0.602729 + 1.52368i
\(346\) 3.23433 + 5.48770i 0.173879 + 0.295020i
\(347\) −3.99303 + 2.03455i −0.214357 + 0.109220i −0.557873 0.829927i \(-0.688382\pi\)
0.343515 + 0.939147i \(0.388382\pi\)
\(348\) −17.1344 + 15.9940i −0.918500 + 0.857367i
\(349\) −16.3559 16.3559i −0.875509 0.875509i 0.117557 0.993066i \(-0.462494\pi\)
−0.993066 + 0.117557i \(0.962494\pi\)
\(350\) 1.82781 2.20546i 0.0977006 0.117887i
\(351\) 2.75873 0.147250
\(352\) 0.799229 + 5.30281i 0.0425990 + 0.282641i
\(353\) 19.3273 + 6.27981i 1.02869 + 0.334240i 0.774271 0.632855i \(-0.218117\pi\)
0.254416 + 0.967095i \(0.418117\pi\)
\(354\) 14.0020 + 3.61746i 0.744198 + 0.192266i
\(355\) −4.53123 + 20.3007i −0.240493 + 1.07745i
\(356\) 25.5493 11.9292i 1.35411 0.632249i
\(357\) 3.05250 + 3.05250i 0.161555 + 0.161555i
\(358\) −3.12335 + 7.18810i −0.165074 + 0.379903i
\(359\) −20.0410 + 27.5841i −1.05772 + 1.45583i −0.175807 + 0.984425i \(0.556253\pi\)
−0.881916 + 0.471406i \(0.843747\pi\)
\(360\) 0.797870 22.4010i 0.0420514 1.18064i
\(361\) −6.90455 9.50330i −0.363398 0.500174i
\(362\) 29.5519 6.55919i 1.55322 0.344743i
\(363\) 4.04237 + 25.5225i 0.212169 + 1.33959i
\(364\) −0.0552401 + 1.60467i −0.00289537 + 0.0841077i
\(365\) 4.23062 + 4.79574i 0.221441 + 0.251020i
\(366\) 15.1058 + 9.61822i 0.789595 + 0.502752i
\(367\) 1.80598 0.586798i 0.0942713 0.0306306i −0.261502 0.965203i \(-0.584218\pi\)
0.355773 + 0.934572i \(0.384218\pi\)
\(368\) −20.6451 + 5.16915i −1.07620 + 0.269460i
\(369\) 11.4180 + 35.1411i 0.594400 + 1.82937i
\(370\) −12.8890 + 17.6958i −0.670066 + 0.919959i
\(371\) −2.51348 + 1.28068i −0.130493 + 0.0664898i
\(372\) −5.95341 8.81686i −0.308670 0.457133i
\(373\) −0.673158 0.106618i −0.0348548 0.00552046i 0.138983 0.990295i \(-0.455617\pi\)
−0.173838 + 0.984774i \(0.555617\pi\)
\(374\) −4.18374 3.69962i −0.216336 0.191303i
\(375\) 20.8313 19.5979i 1.07572 1.01203i
\(376\) 0.120873 + 0.649478i 0.00623355 + 0.0334943i
\(377\) 7.34519 5.33659i 0.378297 0.274849i
\(378\) 0.687027 0.404919i 0.0353369 0.0208268i
\(379\) 12.3260 + 24.1912i 0.633146 + 1.24262i 0.955218 + 0.295903i \(0.0956207\pi\)
−0.322072 + 0.946715i \(0.604379\pi\)
\(380\) −13.3436 + 20.9017i −0.684513 + 1.07224i
\(381\) −15.0831 + 29.6023i −0.772731 + 1.51657i
\(382\) 32.5755 2.00051i 1.66671 0.102355i
\(383\) −13.1546 + 4.27420i −0.672170 + 0.218401i −0.625164 0.780493i \(-0.714968\pi\)
−0.0470060 + 0.998895i \(0.514968\pi\)
\(384\) 24.1068 16.0161i 1.23019 0.817319i
\(385\) −0.857033 0.0536567i −0.0436785 0.00273460i
\(386\) 12.8018 + 15.5220i 0.651597 + 0.790051i
\(387\) −24.1244 + 3.82093i −1.22631 + 0.194229i
\(388\) 4.29775 7.76242i 0.218185 0.394077i
\(389\) −0.917099 + 5.79033i −0.0464987 + 0.293582i −0.999969 0.00790638i \(-0.997483\pi\)
0.953470 + 0.301488i \(0.0974833\pi\)
\(390\) −2.52682 + 15.8316i −0.127950 + 0.801663i
\(391\) 13.0278 17.9312i 0.658842 0.906818i
\(392\) −9.23842 16.9849i −0.466611 0.857869i
\(393\) 14.7578 0.744433
\(394\) −14.6651 + 33.7502i −0.738816 + 1.70031i
\(395\) 22.9248 + 5.11694i 1.15347 + 0.257461i
\(396\) −5.56904 + 3.76038i −0.279855 + 0.188966i
\(397\) 15.0381 + 29.5139i 0.754740 + 1.48126i 0.872708 + 0.488243i \(0.162362\pi\)
−0.117968 + 0.993017i \(0.537638\pi\)
\(398\) −12.8640 15.5974i −0.644813 0.781825i
\(399\) −5.74619 −0.287669
\(400\) 19.6253 + 3.85323i 0.981265 + 0.192662i
\(401\) −20.1832 −1.00790 −0.503950 0.863733i \(-0.668120\pi\)
−0.503950 + 0.863733i \(0.668120\pi\)
\(402\) −23.5419 28.5442i −1.17416 1.42366i
\(403\) 1.87083 + 3.67172i 0.0931928 + 0.182901i
\(404\) −9.70064 14.3664i −0.482625 0.714757i
\(405\) −14.5098 + 6.28422i −0.720998 + 0.312266i
\(406\) 1.04594 2.40712i 0.0519090 0.119464i
\(407\) 6.56292 0.325312
\(408\) −8.53910 + 28.9064i −0.422749 + 1.43108i
\(409\) 16.2373 22.3487i 0.802880 1.10507i −0.189503 0.981880i \(-0.560688\pi\)
0.992383 0.123190i \(-0.0393124\pi\)
\(410\) −32.5686 + 5.11858i −1.60845 + 0.252789i
\(411\) 3.31436 20.9260i 0.163485 1.03221i
\(412\) −21.4237 11.8615i −1.05547 0.584373i
\(413\) −1.59938 + 0.253317i −0.0787005 + 0.0124649i
\(414\) −16.9680 20.5734i −0.833929 1.01113i
\(415\) −14.7586 + 37.3092i −0.724469 + 1.83144i
\(416\) −10.0267 + 5.01464i −0.491599 + 0.245863i
\(417\) 23.4069 7.60537i 1.14624 0.372437i
\(418\) 7.42003 0.455674i 0.362926 0.0222878i
\(419\) 5.32087 10.4428i 0.259942 0.510164i −0.723742 0.690071i \(-0.757579\pi\)
0.983684 + 0.179906i \(0.0575795\pi\)
\(420\) 1.69445 + 4.31355i 0.0826807 + 0.210479i
\(421\) −1.94842 3.82398i −0.0949600 0.186369i 0.838640 0.544686i \(-0.183351\pi\)
−0.933600 + 0.358316i \(0.883351\pi\)
\(422\) 14.9928 8.83646i 0.729840 0.430152i
\(423\) −0.669705 + 0.486569i −0.0325622 + 0.0236578i
\(424\) −16.2406 11.1441i −0.788713 0.541205i
\(425\) −18.2461 + 10.0454i −0.885066 + 0.487275i
\(426\) −25.2103 22.2930i −1.22144 1.08010i
\(427\) −1.98052 0.313683i −0.0958440 0.0151802i
\(428\) 2.03814 1.37621i 0.0985173 0.0665218i
\(429\) 4.28229 2.18194i 0.206751 0.105345i
\(430\) 0.0259685 21.7933i 0.00125231 1.05097i
\(431\) 9.80138 + 30.1655i 0.472116 + 1.45302i 0.849808 + 0.527092i \(0.176718\pi\)
−0.377692 + 0.925931i \(0.623282\pi\)
\(432\) 4.77565 + 2.86306i 0.229769 + 0.137749i
\(433\) −11.2279 + 3.64817i −0.539580 + 0.175320i −0.566113 0.824328i \(-0.691553\pi\)
0.0265330 + 0.999648i \(0.491553\pi\)
\(434\) 1.00483 + 0.639800i 0.0482336 + 0.0307114i
\(435\) 13.3329 22.5605i 0.639265 1.08169i
\(436\) −10.8383 0.373103i −0.519059 0.0178684i
\(437\) 4.61522 + 29.1394i 0.220776 + 1.39393i
\(438\) −10.1009 + 2.24195i −0.482641 + 0.107124i
\(439\) −8.39335 11.5525i −0.400593 0.551369i 0.560300 0.828290i \(-0.310686\pi\)
−0.960893 + 0.276921i \(0.910686\pi\)
\(440\) −2.53010 5.43570i −0.120618 0.259137i
\(441\) 14.2406 19.6004i 0.678122 0.933355i
\(442\) 4.65283 10.7080i 0.221313 0.509329i
\(443\) 7.38451 + 7.38451i 0.350849 + 0.350849i 0.860425 0.509577i \(-0.170198\pi\)
−0.509577 + 0.860425i \(0.670198\pi\)
\(444\) −14.9849 32.0937i −0.711153 1.52310i
\(445\) −23.6411 + 20.8552i −1.12069 + 0.988634i
\(446\) 10.3280 + 2.66828i 0.489046 + 0.126347i
\(447\) 14.9540 + 4.85886i 0.707301 + 0.229816i
\(448\) −1.76099 + 2.72053i −0.0831988 + 0.128533i
\(449\) 29.2302 1.37946 0.689730 0.724067i \(-0.257729\pi\)
0.689730 + 0.724067i \(0.257729\pi\)
\(450\) 6.21091 + 24.2791i 0.292785 + 1.14453i
\(451\) 6.98861 + 6.98861i 0.329081 + 0.329081i
\(452\) 24.8643 + 26.6372i 1.16952 + 1.25291i
\(453\) −20.0693 + 10.2258i −0.942936 + 0.480450i
\(454\) 8.50481 + 14.4301i 0.399150 + 0.677239i
\(455\) −0.446965 1.73861i −0.0209541 0.0815071i
\(456\) −19.1703 35.2447i −0.897730 1.65049i
\(457\) 9.95787 0.465810 0.232905 0.972500i \(-0.425177\pi\)
0.232905 + 0.972500i \(0.425177\pi\)
\(458\) 8.76836 + 3.81001i 0.409719 + 0.178030i
\(459\) −5.72741 + 0.907133i −0.267333 + 0.0423414i
\(460\) 20.5134 12.0572i 0.956442 0.562172i
\(461\) −13.5936 2.15302i −0.633117 0.100276i −0.168377 0.985723i \(-0.553852\pi\)
−0.464741 + 0.885447i \(0.653852\pi\)
\(462\) 0.746194 1.17193i 0.0347161 0.0545231i
\(463\) 8.07616 11.1159i 0.375331 0.516599i −0.579009 0.815321i \(-0.696560\pi\)
0.954340 + 0.298722i \(0.0965604\pi\)
\(464\) 18.2537 1.61523i 0.847409 0.0749851i
\(465\) 9.16706 + 7.57893i 0.425112 + 0.351464i
\(466\) 21.8750 + 13.9283i 1.01334 + 0.645215i
\(467\) −8.84816 4.50836i −0.409444 0.208622i 0.237123 0.971480i \(-0.423796\pi\)
−0.646566 + 0.762858i \(0.723796\pi\)
\(468\) −11.0740 8.64309i −0.511894 0.399527i
\(469\) 3.69142 + 1.88087i 0.170454 + 0.0868507i
\(470\) −0.334536 0.658502i −0.0154310 0.0303744i
\(471\) −25.4749 8.27730i −1.17382 0.381398i
\(472\) −6.88956 8.96484i −0.317118 0.412640i
\(473\) −5.28556 + 3.84018i −0.243030 + 0.176572i
\(474\) −25.1746 + 28.4689i −1.15631 + 1.30762i
\(475\) 7.71870 26.6287i 0.354158 1.22181i
\(476\) −0.412969 3.34964i −0.0189284 0.153530i
\(477\) 3.86088 24.3766i 0.176778 1.11613i
\(478\) 3.05722 11.8335i 0.139834 0.541250i
\(479\) 11.9728 36.8485i 0.547052 1.68365i −0.169010 0.985614i \(-0.554057\pi\)
0.716062 0.698037i \(-0.245943\pi\)
\(480\) −20.8045 + 24.7838i −0.949593 + 1.13122i
\(481\) 4.23966 + 13.0483i 0.193312 + 0.594952i
\(482\) 28.0956 1.72539i 1.27972 0.0785893i
\(483\) 4.91272 + 2.50316i 0.223536 + 0.113898i
\(484\) 9.78565 17.6744i 0.444802 0.803383i
\(485\) −2.16103 + 9.68180i −0.0981273 + 0.439628i
\(486\) 3.01030 31.3445i 0.136550 1.42182i
\(487\) −31.0088 22.5292i −1.40514 1.02090i −0.994006 0.109324i \(-0.965131\pi\)
−0.411138 0.911573i \(-0.634869\pi\)
\(488\) −4.68335 13.1942i −0.212005 0.597272i
\(489\) −14.3142 19.7018i −0.647309 0.890945i
\(490\) 15.2673 + 15.3037i 0.689707 + 0.691353i
\(491\) −5.23689 + 0.829443i −0.236338 + 0.0374322i −0.273480 0.961878i \(-0.588175\pi\)
0.0371420 + 0.999310i \(0.488175\pi\)
\(492\) 18.2185 50.1323i 0.821355 2.26014i
\(493\) −13.4946 + 13.4946i −0.607767 + 0.607767i
\(494\) 5.69932 + 14.4581i 0.256424 + 0.650499i
\(495\) 4.78712 5.79024i 0.215165 0.260252i
\(496\) −0.571969 + 8.29772i −0.0256822 + 0.372579i
\(497\) 3.58380 + 1.16445i 0.160756 + 0.0522326i
\(498\) −41.3031 50.0794i −1.85084 2.24411i
\(499\) −10.3829 10.3829i −0.464802 0.464802i 0.435424 0.900226i \(-0.356599\pi\)
−0.900226 + 0.435424i \(0.856599\pi\)
\(500\) −22.2658 + 2.05808i −0.995755 + 0.0920401i
\(501\) −45.9125 + 45.9125i −2.05122 + 2.05122i
\(502\) 0.378363 3.93968i 0.0168872 0.175837i
\(503\) −12.7490 + 39.2374i −0.568450 + 1.74951i 0.0890215 + 0.996030i \(0.471626\pi\)
−0.657471 + 0.753479i \(0.728374\pi\)
\(504\) −4.02645 0.527047i −0.179352 0.0234765i
\(505\) 14.9371 + 12.3493i 0.664690 + 0.549537i
\(506\) −6.54228 2.84274i −0.290840 0.126375i
\(507\) −16.4111 16.4111i −0.728842 0.728842i
\(508\) 23.5355 10.9890i 1.04422 0.487557i
\(509\) −3.91697 24.7308i −0.173617 1.09617i −0.908471 0.417948i \(-0.862749\pi\)
0.734854 0.678225i \(-0.237251\pi\)
\(510\) 0.0401550 33.6990i 0.00177809 1.49222i
\(511\) 0.937288 0.680980i 0.0414632 0.0301248i
\(512\) −22.5616 1.72501i −0.997090 0.0762355i
\(513\) 4.53698 6.24461i 0.200312 0.275706i
\(514\) 7.27527 + 8.82116i 0.320899 + 0.389085i
\(515\) 26.7210 + 5.96427i 1.17747 + 0.262817i
\(516\) 30.8475 + 17.0791i 1.35798 + 0.751863i
\(517\) −0.100524 + 0.197289i −0.00442103 + 0.00867676i
\(518\) 2.97104 + 2.62724i 0.130540 + 0.115434i
\(519\) 10.9585 3.56063i 0.481025 0.156294i
\(520\) 9.17274 8.54179i 0.402251 0.374582i
\(521\) 8.09269 + 2.62947i 0.354547 + 0.115199i 0.480875 0.876789i \(-0.340319\pi\)
−0.126328 + 0.991989i \(0.540319\pi\)
\(522\) 11.6591 + 19.7820i 0.510304 + 0.865834i
\(523\) −21.0085 3.32742i −0.918637 0.145498i −0.320829 0.947137i \(-0.603962\pi\)
−0.597808 + 0.801639i \(0.703962\pi\)
\(524\) −9.09547 7.09891i −0.397338 0.310117i
\(525\) −3.17824 4.09219i −0.138710 0.178598i
\(526\) −9.36332 + 0.575014i −0.408260 + 0.0250718i
\(527\) −5.09140 7.00771i −0.221785 0.305261i
\(528\) 9.67757 + 0.667082i 0.421162 + 0.0290310i
\(529\) 1.64052 5.04899i 0.0713268 0.219521i
\(530\) 20.9353 + 6.82988i 0.909372 + 0.296671i
\(531\) 6.43188 12.6233i 0.279120 0.547804i
\(532\) 3.54147 + 2.76407i 0.153542 + 0.119838i
\(533\) −9.38002 + 18.4093i −0.406294 + 0.797396i
\(534\) −11.0519 49.7935i −0.478263 2.15478i
\(535\) −1.75198 + 2.11910i −0.0757445 + 0.0916165i
\(536\) 0.778719 + 28.9166i 0.0336355 + 1.24901i
\(537\) 11.4693 + 8.33297i 0.494939 + 0.359594i
\(538\) −0.236565 1.06583i −0.0101991 0.0459511i
\(539\) 1.01376 6.40065i 0.0436659 0.275696i
\(540\) −6.02558 1.56439i −0.259300 0.0673206i
\(541\) 2.79856 + 17.6694i 0.120319 + 0.759667i 0.971891 + 0.235429i \(0.0756496\pi\)
−0.851572 + 0.524237i \(0.824350\pi\)
\(542\) 8.85576 + 22.4653i 0.380387 + 0.964968i
\(543\) 54.7570i 2.34985i
\(544\) 19.1676 13.7080i 0.821802 0.587724i
\(545\) 11.7429 3.01889i 0.503010 0.129315i
\(546\) 2.81206 + 0.726505i 0.120345 + 0.0310915i
\(547\) −3.09769 6.07956i −0.132448 0.259943i 0.815252 0.579106i \(-0.196598\pi\)
−0.947700 + 0.319163i \(0.896598\pi\)
\(548\) −12.1087 + 11.3028i −0.517257 + 0.482830i
\(549\) 12.4052 12.4052i 0.529440 0.529440i
\(550\) 4.42857 + 5.03220i 0.188835 + 0.214574i
\(551\) 25.4030i 1.08220i
\(552\) 1.03636 + 38.4836i 0.0441103 + 1.63797i
\(553\) 1.31496 4.04705i 0.0559180 0.172098i
\(554\) −24.7154 + 14.5668i −1.05006 + 0.618882i
\(555\) 26.1973 + 29.6967i 1.11201 + 1.26056i
\(556\) −18.0845 6.57206i −0.766952 0.278717i
\(557\) −13.2057 + 13.2057i −0.559544 + 0.559544i −0.929178 0.369634i \(-0.879483\pi\)
0.369634 + 0.929178i \(0.379483\pi\)
\(558\) −9.69597 + 3.82212i −0.410463 + 0.161803i
\(559\) −11.0495 8.02792i −0.467343 0.339545i
\(560\) 1.03062 3.47358i 0.0435515 0.146786i
\(561\) −8.17303 + 5.93806i −0.345066 + 0.250705i
\(562\) −19.5820 + 30.7544i −0.826018 + 1.29730i
\(563\) −14.7983 + 2.34382i −0.623673 + 0.0987801i −0.460270 0.887779i \(-0.652247\pi\)
−0.163404 + 0.986559i \(0.552247\pi\)
\(564\) 1.19430 + 0.0411132i 0.0502890 + 0.00173118i
\(565\) −35.0727 20.7275i −1.47552 0.872010i
\(566\) 10.0173 + 45.1321i 0.421058 + 1.89705i
\(567\) 0.885204 + 2.72438i 0.0371751 + 0.114413i
\(568\) 4.81394 + 25.8664i 0.201988 + 1.08533i
\(569\) −18.4286 + 5.98780i −0.772565 + 0.251022i −0.668663 0.743566i \(-0.733133\pi\)
−0.103902 + 0.994587i \(0.533133\pi\)
\(570\) 31.6806 + 31.7562i 1.32695 + 1.33012i
\(571\) −10.3141 20.2425i −0.431631 0.847123i −0.999708 0.0241483i \(-0.992313\pi\)
0.568077 0.822975i \(-0.307687\pi\)
\(572\) −3.68882 0.715136i −0.154237 0.0299013i
\(573\) 9.23534 58.3097i 0.385812 2.43592i
\(574\) 0.366097 + 5.96140i 0.0152806 + 0.248824i
\(575\) −18.1991 + 19.4039i −0.758957 + 0.809199i
\(576\) −10.2002 26.4549i −0.425010 1.10229i
\(577\) −0.417541 0.574696i −0.0173825 0.0239249i 0.800237 0.599683i \(-0.204707\pi\)
−0.817620 + 0.575759i \(0.804707\pi\)
\(578\) −0.124955 + 0.483660i −0.00519744 + 0.0201176i
\(579\) 32.4283 16.5230i 1.34767 0.686674i
\(580\) −19.0695 + 7.49090i −0.791818 + 0.311043i
\(581\) 6.47641 + 3.29990i 0.268687 + 0.136903i
\(582\) −12.0232 10.6320i −0.498380 0.440709i
\(583\) −2.04001 6.27851i −0.0844886 0.260029i
\(584\) 7.30381 + 3.47707i 0.302234 + 0.143882i
\(585\) 14.6046 + 5.77719i 0.603825 + 0.238857i
\(586\) 31.1845 + 2.99492i 1.28822 + 0.123719i
\(587\) −1.82357 11.5136i −0.0752669 0.475216i −0.996315 0.0857679i \(-0.972666\pi\)
0.921048 0.389448i \(-0.127334\pi\)
\(588\) −33.6149 + 9.65696i −1.38626 + 0.398246i
\(589\) 11.3880 + 1.80368i 0.469235 + 0.0743195i
\(590\) 10.2179 + 7.44233i 0.420663 + 0.306396i
\(591\) 53.8520 + 39.1258i 2.21517 + 1.60942i
\(592\) −6.20251 + 26.9880i −0.254922 + 1.10920i
\(593\) 15.5204i 0.637348i 0.947864 + 0.318674i \(0.103238\pi\)
−0.947864 + 0.318674i \(0.896762\pi\)
\(594\) 0.684417 + 1.73623i 0.0280820 + 0.0712385i
\(595\) 1.49964 + 3.46256i 0.0614794 + 0.141951i
\(596\) −6.87916 10.1879i −0.281782 0.417312i
\(597\) −32.5857 + 16.6032i −1.33364 + 0.679525i
\(598\) 1.42557 14.8437i 0.0582960 0.607004i
\(599\) 10.2273i 0.417876i −0.977929 0.208938i \(-0.932999\pi\)
0.977929 0.208938i \(-0.0670006\pi\)
\(600\) 14.4967 33.1463i 0.591824 1.35319i
\(601\) 22.0801i 0.900666i 0.892861 + 0.450333i \(0.148695\pi\)
−0.892861 + 0.450333i \(0.851305\pi\)
\(602\) −3.93006 0.377439i −0.160177 0.0153833i
\(603\) −32.2963 + 16.4558i −1.31521 + 0.670131i
\(604\) 17.2879 + 3.35153i 0.703434 + 0.136372i
\(605\) −4.92050 + 22.0447i −0.200047 + 0.896245i
\(606\) −29.1721 + 11.4995i −1.18503 + 0.467137i
\(607\) 12.7223i 0.516383i −0.966094 0.258192i \(-0.916873\pi\)
0.966094 0.258192i \(-0.0831266\pi\)
\(608\) −5.13873 + 30.9433i −0.208403 + 1.25492i
\(609\) −3.84081 2.79052i −0.155638 0.113077i
\(610\) 9.18567 + 12.6747i 0.371917 + 0.513184i
\(611\) −0.457186 0.0724112i −0.0184958 0.00292944i
\(612\) 25.8328 + 14.3026i 1.04423 + 0.578149i
\(613\) 3.16945 + 20.0111i 0.128013 + 0.808242i 0.965236 + 0.261380i \(0.0841777\pi\)
−0.837223 + 0.546862i \(0.815822\pi\)
\(614\) −0.683969 + 7.12179i −0.0276028 + 0.287412i
\(615\) −3.72637 + 59.5195i −0.150262 + 2.40006i
\(616\) −1.02362 + 0.363340i −0.0412429 + 0.0146394i
\(617\) −12.0745 37.1616i −0.486102 1.49607i −0.830378 0.557200i \(-0.811876\pi\)
0.344277 0.938868i \(-0.388124\pi\)
\(618\) −29.3434 + 33.1832i −1.18036 + 1.33483i
\(619\) −29.2250 14.8909i −1.17465 0.598515i −0.245928 0.969288i \(-0.579093\pi\)
−0.928723 + 0.370773i \(0.879093\pi\)
\(620\) −2.00414 9.08062i −0.0804880 0.364687i
\(621\) −6.59919 + 3.36245i −0.264816 + 0.134931i
\(622\) 16.4306 + 4.24491i 0.658809 + 0.170205i
\(623\) 3.35696 + 4.62045i 0.134494 + 0.185115i
\(624\) 4.92544 + 19.6718i 0.197175 + 0.787501i
\(625\) 23.2331 9.23155i 0.929325 0.369262i
\(626\) 44.1156 2.70920i 1.76321 0.108281i
\(627\) 2.10362 13.2817i 0.0840105 0.530421i
\(628\) 11.7190 + 17.3556i 0.467639 + 0.692562i
\(629\) −13.0926 25.6956i −0.522035 1.02455i
\(630\) 4.48505 0.704885i 0.178689 0.0280833i
\(631\) 31.1982 10.1369i 1.24198 0.403545i 0.386941 0.922104i \(-0.373532\pi\)
0.855041 + 0.518560i \(0.173532\pi\)
\(632\) 29.2099 5.43619i 1.16191 0.216240i
\(633\) −9.72794 29.9395i −0.386651 1.18999i
\(634\) −23.1385 + 5.13571i −0.918949 + 0.203965i
\(635\) −21.7776 + 19.2114i −0.864220 + 0.762382i
\(636\) −26.0450 + 24.3115i −1.03275 + 0.964015i
\(637\) 13.3806 2.11928i 0.530159 0.0839689i
\(638\) 5.18092 + 3.29881i 0.205115 + 0.130601i
\(639\) −26.6719 + 19.3783i −1.05513 + 0.766594i
\(640\) 24.7438 5.26710i 0.978086 0.208200i
\(641\) 36.9003 + 26.8097i 1.45747 + 1.05892i 0.984012 + 0.178104i \(0.0569964\pi\)
0.473463 + 0.880814i \(0.343004\pi\)
\(642\) −1.63142 4.13859i −0.0643870 0.163337i
\(643\) 7.67598 7.67598i 0.302711 0.302711i −0.539363 0.842074i \(-0.681335\pi\)
0.842074 + 0.539363i \(0.181335\pi\)
\(644\) −1.82370 3.90589i −0.0718639 0.153913i
\(645\) −38.4750 8.58782i −1.51495 0.338145i
\(646\) −16.5866 28.1424i −0.652589 1.10725i
\(647\) −4.62240 + 14.2263i −0.181725 + 0.559293i −0.999877 0.0157098i \(-0.994999\pi\)
0.818151 + 0.575003i \(0.194999\pi\)
\(648\) −13.7570 + 14.5185i −0.540427 + 0.570339i
\(649\) 3.78955i 0.148753i
\(650\) −7.14410 + 12.0556i −0.280215 + 0.472861i
\(651\) 1.52368 1.52368i 0.0597177 0.0597177i
\(652\) −0.655031 + 19.0280i −0.0256530 + 0.745195i
\(653\) −10.0094 19.6445i −0.391698 0.768750i 0.607985 0.793949i \(-0.291978\pi\)
−0.999682 + 0.0251984i \(0.991978\pi\)
\(654\) −4.90696 + 18.9932i −0.191877 + 0.742693i
\(655\) 11.9953 + 4.74503i 0.468695 + 0.185404i
\(656\) −35.3434 + 22.1337i −1.37993 + 0.864177i
\(657\) 10.1362i 0.395450i
\(658\) −0.124485 + 0.0490716i −0.00485293 + 0.00191301i
\(659\) 6.60838 + 41.7237i 0.257426 + 1.62532i 0.690059 + 0.723753i \(0.257584\pi\)
−0.432633 + 0.901570i \(0.642416\pi\)
\(660\) −10.5907 + 2.33741i −0.412241 + 0.0909834i
\(661\) −3.01540 + 19.0385i −0.117286 + 0.740512i 0.857020 + 0.515283i \(0.172313\pi\)
−0.974306 + 0.225229i \(0.927687\pi\)
\(662\) 23.4548 5.20589i 0.911595 0.202333i
\(663\) −17.0858 12.4135i −0.663556 0.482102i
\(664\) 1.36622 + 50.7326i 0.0530197 + 1.96881i
\(665\) −4.67056 1.84755i −0.181117 0.0716450i
\(666\) −33.8746 + 7.51861i −1.31261 + 0.291340i
\(667\) −11.0661 + 21.7184i −0.428480 + 0.840939i
\(668\) 50.3818 6.21146i 1.94933 0.240328i
\(669\) 8.76004 17.1926i 0.338683 0.664703i
\(670\) −9.95739 30.7704i −0.384688 1.18876i
\(671\) 1.45009 4.46293i 0.0559803 0.172290i
\(672\) 4.11400 + 4.17607i 0.158701 + 0.161095i
\(673\) −6.01039 8.27260i −0.231684 0.318885i 0.677308 0.735700i \(-0.263146\pi\)
−0.908992 + 0.416814i \(0.863146\pi\)
\(674\) 0.0955568 + 1.55601i 0.00368071 + 0.0599353i
\(675\) 6.95658 0.222880i 0.267759 0.00857867i
\(676\) 2.22024 + 18.0086i 0.0853937 + 0.692638i
\(677\) −45.8325 7.25916i −1.76149 0.278992i −0.809944 0.586508i \(-0.800502\pi\)
−0.951543 + 0.307516i \(0.900502\pi\)
\(678\) 56.7847 33.4677i 2.18080 1.28532i
\(679\) 1.70918 + 0.555347i 0.0655924 + 0.0213123i
\(680\) −16.2349 + 20.7499i −0.622579 + 0.795722i
\(681\) 28.8158 9.36283i 1.10422 0.358784i
\(682\) −1.84669 + 2.08835i −0.0707136 + 0.0799671i
\(683\) −4.17436 + 8.19265i −0.159728 + 0.313483i −0.956975 0.290169i \(-0.906288\pi\)
0.797248 + 0.603652i \(0.206288\pi\)
\(684\) −37.7765 + 10.8525i −1.44442 + 0.414956i
\(685\) 9.42223 15.9432i 0.360005 0.609160i
\(686\) 6.11495 5.04332i 0.233470 0.192555i
\(687\) 10.1649 13.9908i 0.387816 0.533783i
\(688\) −10.7963 25.3646i −0.411605 0.967015i
\(689\) 11.1650 8.11185i 0.425353 0.309037i
\(690\) −13.2518 40.9507i −0.504486 1.55897i
\(691\) −4.31916 27.2701i −0.164309 1.03740i −0.922676 0.385577i \(-0.874003\pi\)
0.758367 0.651828i \(-0.225997\pi\)
\(692\) −8.46666 3.07686i −0.321854 0.116965i
\(693\) −0.962409 0.962409i −0.0365589 0.0365589i
\(694\) 2.52574 5.81275i 0.0958758 0.220649i
\(695\) 21.4707 + 1.34423i 0.814432 + 0.0509895i
\(696\) 4.30225 32.8676i 0.163076 1.24584i
\(697\) 13.4205 41.3041i 0.508339 1.56451i
\(698\) 32.5619 + 3.12721i 1.23249 + 0.118367i
\(699\) 33.1701 33.1701i 1.25461 1.25461i
\(700\) −0.00965397 + 4.05091i −0.000364886 + 0.153110i
\(701\) 2.52666 + 2.52666i 0.0954307 + 0.0954307i 0.753210 0.657780i \(-0.228504\pi\)
−0.657780 + 0.753210i \(0.728504\pi\)
\(702\) −3.00982 + 2.48236i −0.113598 + 0.0936906i
\(703\) 36.5085 + 11.8623i 1.37694 + 0.447396i
\(704\) −5.64355 5.06631i −0.212699 0.190944i
\(705\) −1.29398 + 0.332660i −0.0487341 + 0.0125287i
\(706\) −26.7371 + 10.5397i −1.00626 + 0.396666i
\(707\) 2.48272 2.48272i 0.0933725 0.0933725i
\(708\) −18.5315 + 8.65257i −0.696457 + 0.325184i
\(709\) 2.21028 0.350074i 0.0830089 0.0131473i −0.114792 0.993390i \(-0.536620\pi\)
0.197801 + 0.980242i \(0.436620\pi\)
\(710\) −13.3234 26.2258i −0.500017 0.984236i
\(711\) 21.8831 + 30.1196i 0.820682 + 1.12957i
\(712\) −17.1406 + 36.0048i −0.642370 + 1.34934i
\(713\) −8.95049 6.50291i −0.335199 0.243536i
\(714\) −6.07703 0.583632i −0.227427 0.0218419i
\(715\) 4.18224 0.396629i 0.156407 0.0148331i
\(716\) −3.06036 10.6528i −0.114371 0.398114i
\(717\) −19.6986 10.0369i −0.735658 0.374836i
\(718\) −2.95561 48.1280i −0.110302 1.79612i
\(719\) 2.11868 + 6.52061i 0.0790133 + 0.243178i 0.982759 0.184892i \(-0.0591936\pi\)
−0.903746 + 0.428070i \(0.859194\pi\)
\(720\) 19.2864 + 25.1578i 0.718761 + 0.937578i
\(721\) 1.53272 4.71721i 0.0570813 0.175678i
\(722\) 16.0843 + 4.15542i 0.598595 + 0.154649i
\(723\) 7.96526 50.2907i 0.296231 1.87033i
\(724\) −26.3396 + 33.7476i −0.978904 + 1.25422i
\(725\) 18.0910 14.0505i 0.671881 0.521823i
\(726\) −27.3760 24.2082i −1.01602 0.898449i
\(727\) −2.09385 + 1.52127i −0.0776565 + 0.0564207i −0.625936 0.779874i \(-0.715283\pi\)
0.548280 + 0.836295i \(0.315283\pi\)
\(728\) −1.38365 1.80043i −0.0512814 0.0667285i
\(729\) −33.9958 11.0459i −1.25910 0.409108i
\(730\) −8.93099 1.42544i −0.330551 0.0527579i
\(731\) 25.5797 + 13.0335i 0.946099 + 0.482062i
\(732\) −25.1354 + 3.09889i −0.929032 + 0.114538i
\(733\) 25.6399 + 13.0642i 0.947031 + 0.482537i 0.858089 0.513500i \(-0.171651\pi\)
0.0889419 + 0.996037i \(0.471651\pi\)
\(734\) −1.44234 + 2.26526i −0.0532379 + 0.0836124i
\(735\) 33.0091 20.9624i 1.21756 0.773210i
\(736\) 17.8729 24.2165i 0.658804 0.892634i
\(737\) −5.69884 + 7.84378i −0.209920 + 0.288929i
\(738\) −44.0780 28.0655i −1.62254 1.03310i
\(739\) 43.5967 + 6.90504i 1.60373 + 0.254006i 0.893200 0.449660i \(-0.148455\pi\)
0.710531 + 0.703666i \(0.248455\pi\)
\(740\) −1.86091 30.9042i −0.0684083 1.13606i
\(741\) 27.7655 4.39763i 1.01999 0.161551i
\(742\) 1.58987 3.65893i 0.0583660 0.134324i
\(743\) −39.6811 −1.45576 −0.727879 0.685706i \(-0.759494\pi\)
−0.727879 + 0.685706i \(0.759494\pi\)
\(744\) 14.4289 + 4.26236i 0.528988 + 0.156266i
\(745\) 10.5925 + 8.75745i 0.388081 + 0.320848i
\(746\) 0.830365 0.489400i 0.0304018 0.0179182i
\(747\) −56.6622 + 28.8708i −2.07316 + 1.05633i
\(748\) 7.89354 + 0.271732i 0.288616 + 0.00993549i
\(749\) 0.352220 + 0.352220i 0.0128698 + 0.0128698i
\(750\) −5.09274 + 40.1261i −0.185960 + 1.46520i
\(751\) −9.22571 −0.336651 −0.168326 0.985731i \(-0.553836\pi\)
−0.168326 + 0.985731i \(0.553836\pi\)
\(752\) −0.716288 0.599828i −0.0261203 0.0218735i
\(753\) −6.80884 2.21233i −0.248128 0.0806216i
\(754\) −3.21176 + 12.4317i −0.116966 + 0.452735i
\(755\) −19.6004 + 1.85883i −0.713330 + 0.0676498i
\(756\) −0.385205 + 1.05998i −0.0140098 + 0.0385510i
\(757\) −0.117505 0.117505i −0.00427080 0.00427080i 0.704968 0.709239i \(-0.250961\pi\)
−0.709239 + 0.704968i \(0.750961\pi\)
\(758\) −35.2157 15.3018i −1.27909 0.555788i
\(759\) −7.58429 + 10.4389i −0.275292 + 0.378907i
\(760\) −4.24967 34.8111i −0.154152 1.26273i
\(761\) −13.6152 18.7397i −0.493549 0.679312i 0.487489 0.873129i \(-0.337913\pi\)
−0.981038 + 0.193817i \(0.937913\pi\)
\(762\) −10.1808 45.8688i −0.368811 1.66165i
\(763\) −0.343616 2.16951i −0.0124397 0.0785414i
\(764\) −33.7404 + 31.4947i −1.22069 + 1.13944i
\(765\) −32.2203 7.19175i −1.16493 0.260018i
\(766\) 10.5059 16.5000i 0.379595 0.596171i
\(767\) 7.53434 2.44806i 0.272049 0.0883942i
\(768\) −11.8893 + 39.1657i −0.429018 + 1.41327i
\(769\) −7.35746 22.6439i −0.265317 0.816561i −0.991620 0.129187i \(-0.958763\pi\)
0.726304 0.687374i \(-0.241237\pi\)
\(770\) 0.983321 0.712636i 0.0354364 0.0256816i
\(771\) 18.4290 9.39003i 0.663703 0.338174i
\(772\) −27.9341 5.41547i −1.00537 0.194907i
\(773\) 20.2288 +