Properties

Label 300.2.w.a.103.11
Level $300$
Weight $2$
Character 300.103
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 103.11
Character \(\chi\) \(=\) 300.103
Dual form 300.2.w.a.67.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.664619 + 1.24831i) q^{2} +(-0.987688 + 0.156434i) q^{3} +(-1.11656 - 1.65930i) q^{4} +(-1.95630 + 1.08300i) q^{5} +(0.461157 - 1.33691i) q^{6} +(-2.24842 - 2.24842i) q^{7} +(2.81342 - 0.291015i) q^{8} +(0.951057 - 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.664619 + 1.24831i) q^{2} +(-0.987688 + 0.156434i) q^{3} +(-1.11656 - 1.65930i) q^{4} +(-1.95630 + 1.08300i) q^{5} +(0.461157 - 1.33691i) q^{6} +(-2.24842 - 2.24842i) q^{7} +(2.81342 - 0.291015i) q^{8} +(0.951057 - 0.309017i) q^{9} +(-0.0517207 - 3.16185i) q^{10} +(5.18278 + 1.68399i) q^{11} +(1.36239 + 1.46421i) q^{12} +(0.704711 - 1.38307i) q^{13} +(4.30108 - 1.31239i) q^{14} +(1.76280 - 1.37570i) q^{15} +(-1.50657 + 3.70543i) q^{16} +(1.01255 - 6.39301i) q^{17} +(-0.246341 + 1.39259i) q^{18} +(1.67389 - 1.21615i) q^{19} +(3.98135 + 2.03686i) q^{20} +(2.57247 + 1.86901i) q^{21} +(-5.54671 + 5.35051i) q^{22} +(-0.0339545 - 0.0666396i) q^{23} +(-2.73325 + 0.727547i) q^{24} +(2.65424 - 4.23734i) q^{25} +(1.25814 + 1.79892i) q^{26} +(-0.891007 + 0.453990i) q^{27} +(-1.22031 + 6.24133i) q^{28} +(0.915875 - 1.26059i) q^{29} +(0.545707 + 3.11484i) q^{30} +(-0.382042 - 0.525836i) q^{31} +(-3.62424 - 4.34337i) q^{32} +(-5.38240 - 0.852489i) q^{33} +(7.30750 + 5.51289i) q^{34} +(6.83363 + 1.96356i) q^{35} +(-1.57467 - 1.23305i) q^{36} +(-6.97057 - 3.55168i) q^{37} +(0.405637 + 2.89781i) q^{38} +(-0.479675 + 1.47629i) q^{39} +(-5.18873 + 3.61623i) q^{40} +(-0.243815 - 0.750387i) q^{41} +(-4.04282 + 1.96907i) q^{42} +(8.59891 - 8.59891i) q^{43} +(-2.99265 - 10.4801i) q^{44} +(-1.52589 + 1.63452i) q^{45} +(0.105754 + 0.00190406i) q^{46} +(0.848551 + 5.35754i) q^{47} +(0.908367 - 3.89549i) q^{48} +3.11082i q^{49} +(3.52546 + 6.12953i) q^{50} +6.47270i q^{51} +(-3.08179 + 0.374960i) q^{52} +(1.48302 + 9.36344i) q^{53} +(0.0254582 - 1.41398i) q^{54} +(-11.9628 + 2.31854i) q^{55} +(-6.98008 - 5.67143i) q^{56} +(-1.46303 + 1.46303i) q^{57} +(0.964906 + 1.98111i) q^{58} +(-2.30263 - 7.08677i) q^{59} +(-4.25097 - 1.38897i) q^{60} +(2.12100 - 6.52776i) q^{61} +(0.910320 - 0.127427i) q^{62} +(-2.83318 - 1.44358i) q^{63} +(7.83062 - 1.63749i) q^{64} +(0.119235 + 3.46891i) q^{65} +(4.64142 - 6.15233i) q^{66} +(-1.91967 - 0.304046i) q^{67} +(-11.7385 + 5.45806i) q^{68} +(0.0439612 + 0.0605074i) q^{69} +(-6.99290 + 7.22548i) q^{70} +(1.60163 - 2.20445i) q^{71} +(2.58579 - 1.14616i) q^{72} +(-2.35633 + 1.20061i) q^{73} +(9.06638 - 6.34092i) q^{74} +(-1.95870 + 4.60038i) q^{75} +(-3.88696 - 1.41958i) q^{76} +(-7.86676 - 15.4394i) q^{77} +(-1.52406 - 1.57995i) q^{78} +(-7.91533 - 5.75082i) q^{79} +(-1.06566 - 8.88056i) q^{80} +(0.809017 - 0.587785i) q^{81} +(1.09876 + 0.194364i) q^{82} +(0.895475 - 5.65381i) q^{83} +(0.228927 - 6.35538i) q^{84} +(4.94274 + 13.6032i) q^{85} +(5.01912 + 16.4491i) q^{86} +(-0.707399 + 1.38835i) q^{87} +(15.0714 + 3.22949i) q^{88} +(-17.4987 - 5.68568i) q^{89} +(-1.02626 - 2.99112i) q^{90} +(-4.69423 + 1.52525i) q^{91} +(-0.0726628 + 0.130748i) q^{92} +(0.459598 + 0.459598i) q^{93} +(-7.25185 - 2.50147i) q^{94} +(-1.95754 + 4.19197i) q^{95} +(4.25907 + 3.72294i) q^{96} +(2.17132 - 0.343903i) q^{97} +(-3.88328 - 2.06751i) q^{98} +5.44949 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.664619 + 1.24831i −0.469957 + 0.882690i
\(3\) −0.987688 + 0.156434i −0.570242 + 0.0903175i
\(4\) −1.11656 1.65930i −0.558282 0.829651i
\(5\) −1.95630 + 1.08300i −0.874885 + 0.484331i
\(6\) 0.461157 1.33691i 0.188267 0.545792i
\(7\) −2.24842 2.24842i −0.849824 0.849824i 0.140286 0.990111i \(-0.455198\pi\)
−0.990111 + 0.140286i \(0.955198\pi\)
\(8\) 2.81342 0.291015i 0.994693 0.102889i
\(9\) 0.951057 0.309017i 0.317019 0.103006i
\(10\) −0.0517207 3.16185i −0.0163555 0.999866i
\(11\) 5.18278 + 1.68399i 1.56267 + 0.507741i 0.957518 0.288372i \(-0.0931141\pi\)
0.605147 + 0.796113i \(0.293114\pi\)
\(12\) 1.36239 + 1.46421i 0.393288 + 0.422680i
\(13\) 0.704711 1.38307i 0.195452 0.383596i −0.772393 0.635145i \(-0.780940\pi\)
0.967844 + 0.251550i \(0.0809402\pi\)
\(14\) 4.30108 1.31239i 1.14951 0.350751i
\(15\) 1.76280 1.37570i 0.455153 0.355203i
\(16\) −1.50657 + 3.70543i −0.376643 + 0.926358i
\(17\) 1.01255 6.39301i 0.245580 1.55053i −0.489167 0.872190i \(-0.662699\pi\)
0.734747 0.678341i \(-0.237301\pi\)
\(18\) −0.246341 + 1.39259i −0.0580631 + 0.328237i
\(19\) 1.67389 1.21615i 0.384016 0.279004i −0.378983 0.925404i \(-0.623726\pi\)
0.762999 + 0.646400i \(0.223726\pi\)
\(20\) 3.98135 + 2.03686i 0.890258 + 0.455457i
\(21\) 2.57247 + 1.86901i 0.561360 + 0.407852i
\(22\) −5.54671 + 5.35051i −1.18256 + 1.14073i
\(23\) −0.0339545 0.0666396i −0.00708001 0.0138953i 0.887439 0.460924i \(-0.152482\pi\)
−0.894519 + 0.447029i \(0.852482\pi\)
\(24\) −2.73325 + 0.727547i −0.557923 + 0.148510i
\(25\) 2.65424 4.23734i 0.530848 0.847467i
\(26\) 1.25814 + 1.79892i 0.246742 + 0.352796i
\(27\) −0.891007 + 0.453990i −0.171474 + 0.0873705i
\(28\) −1.22031 + 6.24133i −0.230617 + 1.17950i
\(29\) 0.915875 1.26059i 0.170074 0.234086i −0.715469 0.698645i \(-0.753787\pi\)
0.885543 + 0.464558i \(0.153787\pi\)
\(30\) 0.545707 + 3.11484i 0.0996320 + 0.568689i
\(31\) −0.382042 0.525836i −0.0686169 0.0944430i 0.773329 0.634005i \(-0.218590\pi\)
−0.841946 + 0.539562i \(0.818590\pi\)
\(32\) −3.62424 4.34337i −0.640681 0.767807i
\(33\) −5.38240 0.852489i −0.936956 0.148399i
\(34\) 7.30750 + 5.51289i 1.25323 + 0.945453i
\(35\) 6.83363 + 1.96356i 1.15509 + 0.331903i
\(36\) −1.57467 1.23305i −0.262445 0.205509i
\(37\) −6.97057 3.55168i −1.14595 0.583893i −0.225307 0.974288i \(-0.572338\pi\)
−0.920647 + 0.390395i \(0.872338\pi\)
\(38\) 0.405637 + 2.89781i 0.0658030 + 0.470086i
\(39\) −0.479675 + 1.47629i −0.0768094 + 0.236395i
\(40\) −5.18873 + 3.61623i −0.820410 + 0.571776i
\(41\) −0.243815 0.750387i −0.0380776 0.117191i 0.930211 0.367025i \(-0.119624\pi\)
−0.968289 + 0.249835i \(0.919624\pi\)
\(42\) −4.04282 + 1.96907i −0.623821 + 0.303834i
\(43\) 8.59891 8.59891i 1.31132 1.31132i 0.390880 0.920442i \(-0.372171\pi\)
0.920442 0.390880i \(-0.127829\pi\)
\(44\) −2.99265 10.4801i −0.451160 1.57993i
\(45\) −1.52589 + 1.63452i −0.227466 + 0.243660i
\(46\) 0.105754 + 0.00190406i 0.0155925 + 0.000280738i
\(47\) 0.848551 + 5.35754i 0.123774 + 0.781478i 0.968998 + 0.247067i \(0.0794667\pi\)
−0.845225 + 0.534411i \(0.820533\pi\)
\(48\) 0.908367 3.89549i 0.131111 0.562266i
\(49\) 3.11082i 0.444403i
\(50\) 3.52546 + 6.12953i 0.498575 + 0.866847i
\(51\) 6.47270i 0.906359i
\(52\) −3.08179 + 0.374960i −0.427368 + 0.0519976i
\(53\) 1.48302 + 9.36344i 0.203709 + 1.28617i 0.851502 + 0.524351i \(0.175692\pi\)
−0.647793 + 0.761816i \(0.724308\pi\)
\(54\) 0.0254582 1.41398i 0.00346443 0.192419i
\(55\) −11.9628 + 2.31854i −1.61307 + 0.312632i
\(56\) −6.98008 5.67143i −0.932752 0.757877i
\(57\) −1.46303 + 1.46303i −0.193783 + 0.193783i
\(58\) 0.964906 + 1.98111i 0.126698 + 0.260133i
\(59\) −2.30263 7.08677i −0.299777 0.922619i −0.981575 0.191078i \(-0.938802\pi\)
0.681798 0.731541i \(-0.261198\pi\)
\(60\) −4.25097 1.38897i −0.548798 0.179315i
\(61\) 2.12100 6.52776i 0.271566 0.835794i −0.718542 0.695484i \(-0.755190\pi\)
0.990108 0.140310i \(-0.0448099\pi\)
\(62\) 0.910320 0.127427i 0.115611 0.0161833i
\(63\) −2.83318 1.44358i −0.356947 0.181874i
\(64\) 7.83062 1.63749i 0.978828 0.204686i
\(65\) 0.119235 + 3.46891i 0.0147893 + 0.430265i
\(66\) 4.64142 6.15233i 0.571319 0.757300i
\(67\) −1.91967 0.304046i −0.234525 0.0371451i 0.0380656 0.999275i \(-0.487880\pi\)
−0.272590 + 0.962130i \(0.587880\pi\)
\(68\) −11.7385 + 5.45806i −1.42350 + 0.661887i
\(69\) 0.0439612 + 0.0605074i 0.00529231 + 0.00728424i
\(70\) −6.99290 + 7.22548i −0.835811 + 0.863610i
\(71\) 1.60163 2.20445i 0.190079 0.261621i −0.703332 0.710861i \(-0.748305\pi\)
0.893411 + 0.449241i \(0.148305\pi\)
\(72\) 2.58579 1.14616i 0.304738 0.135077i
\(73\) −2.35633 + 1.20061i −0.275788 + 0.140521i −0.586415 0.810011i \(-0.699461\pi\)
0.310627 + 0.950532i \(0.399461\pi\)
\(74\) 9.06638 6.34092i 1.05394 0.737117i
\(75\) −1.95870 + 4.60038i −0.226171 + 0.531206i
\(76\) −3.88696 1.41958i −0.445865 0.162837i
\(77\) −7.86676 15.4394i −0.896501 1.75948i
\(78\) −1.52406 1.57995i −0.172566 0.178894i
\(79\) −7.91533 5.75082i −0.890544 0.647018i 0.0454758 0.998965i \(-0.485520\pi\)
−0.936020 + 0.351947i \(0.885520\pi\)
\(80\) −1.06566 8.88056i −0.119144 0.992877i
\(81\) 0.809017 0.587785i 0.0898908 0.0653095i
\(82\) 1.09876 + 0.194364i 0.121338 + 0.0214639i
\(83\) 0.895475 5.65381i 0.0982912 0.620586i −0.888536 0.458807i \(-0.848277\pi\)
0.986827 0.161779i \(-0.0517231\pi\)
\(84\) 0.228927 6.35538i 0.0249779 0.693429i
\(85\) 4.94274 + 13.6032i 0.536115 + 1.47548i
\(86\) 5.01912 + 16.4491i 0.541226 + 1.77375i
\(87\) −0.707399 + 1.38835i −0.0758411 + 0.148847i
\(88\) 15.0714 + 3.22949i 1.60661 + 0.344265i
\(89\) −17.4987 5.68568i −1.85486 0.602680i −0.995881 0.0906684i \(-0.971100\pi\)
−0.858978 0.512012i \(-0.828900\pi\)
\(90\) −1.02626 2.99112i −0.108177 0.315292i
\(91\) −4.69423 + 1.52525i −0.492089 + 0.159889i
\(92\) −0.0726628 + 0.130748i −0.00757562 + 0.0136314i
\(93\) 0.459598 + 0.459598i 0.0476581 + 0.0476581i
\(94\) −7.25185 2.50147i −0.747971 0.258007i
\(95\) −1.95754 + 4.19197i −0.200840 + 0.430087i
\(96\) 4.25907 + 3.72294i 0.434690 + 0.379971i
\(97\) 2.17132 0.343903i 0.220464 0.0349181i −0.0452251 0.998977i \(-0.514401\pi\)
0.265689 + 0.964059i \(0.414401\pi\)
\(98\) −3.88328 2.06751i −0.392270 0.208850i
\(99\) 5.44949 0.547695
\(100\) −9.99465 + 0.327067i −0.999465 + 0.0327067i
\(101\) 15.7433 1.56652 0.783259 0.621696i \(-0.213556\pi\)
0.783259 + 0.621696i \(0.213556\pi\)
\(102\) −8.07994 4.30188i −0.800033 0.425949i
\(103\) −7.13122 + 1.12947i −0.702660 + 0.111290i −0.497533 0.867445i \(-0.665761\pi\)
−0.205127 + 0.978735i \(0.565761\pi\)
\(104\) 1.58015 4.09624i 0.154947 0.401670i
\(105\) −7.05667 0.870373i −0.688660 0.0849397i
\(106\) −12.6741 4.37185i −1.23102 0.424631i
\(107\) 13.4991 + 13.4991i 1.30500 + 1.30500i 0.924975 + 0.380028i \(0.124086\pi\)
0.380028 + 0.924975i \(0.375914\pi\)
\(108\) 1.74817 + 0.971541i 0.168218 + 0.0934865i
\(109\) 15.4062 5.00578i 1.47565 0.479467i 0.542837 0.839838i \(-0.317350\pi\)
0.932809 + 0.360371i \(0.117350\pi\)
\(110\) 5.05646 16.4743i 0.482115 1.57076i
\(111\) 7.44035 + 2.41752i 0.706207 + 0.229461i
\(112\) 11.7188 4.94397i 1.10732 0.467161i
\(113\) −6.37504 + 12.5117i −0.599713 + 1.17700i 0.369142 + 0.929373i \(0.379652\pi\)
−0.968855 + 0.247630i \(0.920348\pi\)
\(114\) −0.853960 2.79867i −0.0799806 0.262120i
\(115\) 0.138596 + 0.0935945i 0.0129241 + 0.00872773i
\(116\) −3.11434 0.112181i −0.289159 0.0104158i
\(117\) 0.242827 1.53315i 0.0224494 0.141740i
\(118\) 10.3769 + 1.83560i 0.955268 + 0.168981i
\(119\) −16.6508 + 12.0975i −1.52638 + 1.10898i
\(120\) 4.55914 4.38340i 0.416191 0.400148i
\(121\) 15.1262 + 10.9898i 1.37511 + 0.999073i
\(122\) 6.73902 + 6.98614i 0.610122 + 0.632495i
\(123\) 0.358200 + 0.703007i 0.0322978 + 0.0633880i
\(124\) −0.445947 + 1.22105i −0.0400472 + 0.109654i
\(125\) −0.603477 + 11.1640i −0.0539766 + 0.998542i
\(126\) 3.68502 2.57726i 0.328288 0.229601i
\(127\) 12.9842 6.61579i 1.15216 0.587056i 0.229745 0.973251i \(-0.426211\pi\)
0.922417 + 0.386195i \(0.126211\pi\)
\(128\) −3.16028 + 10.8634i −0.279332 + 0.960195i
\(129\) −7.14788 + 9.83821i −0.629336 + 0.866206i
\(130\) −4.40953 2.15666i −0.386741 0.189152i
\(131\) −3.79810 5.22764i −0.331842 0.456741i 0.610195 0.792252i \(-0.291091\pi\)
−0.942037 + 0.335510i \(0.891091\pi\)
\(132\) 4.59525 + 9.88289i 0.399966 + 0.860195i
\(133\) −6.49802 1.02919i −0.563450 0.0892417i
\(134\) 1.65539 2.19427i 0.143004 0.189556i
\(135\) 1.25141 1.85310i 0.107704 0.159489i
\(136\) 0.988274 18.2809i 0.0847438 1.56757i
\(137\) 10.0828 + 5.13743i 0.861429 + 0.438920i 0.828137 0.560526i \(-0.189401\pi\)
0.0332921 + 0.999446i \(0.489401\pi\)
\(138\) −0.104750 + 0.0146629i −0.00891688 + 0.00124819i
\(139\) −4.69272 + 14.4427i −0.398032 + 1.22502i 0.528544 + 0.848906i \(0.322738\pi\)
−0.926575 + 0.376109i \(0.877262\pi\)
\(140\) −4.37204 13.5315i −0.369505 1.14362i
\(141\) −1.67621 5.15884i −0.141162 0.434453i
\(142\) 1.68737 + 3.46446i 0.141601 + 0.290731i
\(143\) 5.98144 5.98144i 0.500193 0.500193i
\(144\) −0.287794 + 3.98963i −0.0239828 + 0.332469i
\(145\) −0.426510 + 3.45799i −0.0354198 + 0.287171i
\(146\) 0.0673263 3.73939i 0.00557196 0.309474i
\(147\) −0.486640 3.07252i −0.0401374 0.253417i
\(148\) 1.88976 + 15.5320i 0.155338 + 1.27672i
\(149\) 15.7548i 1.29069i 0.763893 + 0.645344i \(0.223286\pi\)
−0.763893 + 0.645344i \(0.776714\pi\)
\(150\) −4.44092 5.50256i −0.362600 0.449282i
\(151\) 3.99629i 0.325214i −0.986691 0.162607i \(-0.948010\pi\)
0.986691 0.162607i \(-0.0519902\pi\)
\(152\) 4.35542 3.90866i 0.353271 0.317034i
\(153\) −1.01255 6.39301i −0.0818600 0.516844i
\(154\) 24.5016 + 0.441141i 1.97439 + 0.0355482i
\(155\) 1.31687 + 0.614945i 0.105773 + 0.0493935i
\(156\) 2.98519 0.852442i 0.239007 0.0682500i
\(157\) 8.02968 8.02968i 0.640838 0.640838i −0.309923 0.950762i \(-0.600303\pi\)
0.950762 + 0.309923i \(0.100303\pi\)
\(158\) 12.4395 6.05869i 0.989633 0.482003i
\(159\) −2.92953 9.01617i −0.232327 0.715029i
\(160\) 11.7940 + 4.57192i 0.932395 + 0.361442i
\(161\) −0.0734898 + 0.226178i −0.00579180 + 0.0178253i
\(162\) 0.196051 + 1.40056i 0.0154032 + 0.110038i
\(163\) 6.57414 + 3.34969i 0.514926 + 0.262368i 0.692087 0.721814i \(-0.256691\pi\)
−0.177161 + 0.984182i \(0.556691\pi\)
\(164\) −0.972883 + 1.24242i −0.0759694 + 0.0970165i
\(165\) 11.4528 4.16139i 0.891603 0.323964i
\(166\) 6.46256 + 4.87546i 0.501592 + 0.378409i
\(167\) −17.5556 2.78053i −1.35849 0.215164i −0.565677 0.824627i \(-0.691385\pi\)
−0.792815 + 0.609463i \(0.791385\pi\)
\(168\) 7.78135 + 4.50968i 0.600344 + 0.347929i
\(169\) 6.22493 + 8.56789i 0.478841 + 0.659068i
\(170\) −20.2661 2.87089i −1.55434 0.220187i
\(171\) 1.21615 1.67389i 0.0930012 0.128005i
\(172\) −23.8694 4.66697i −1.82003 0.355853i
\(173\) 4.82016 2.45599i 0.366470 0.186726i −0.261052 0.965325i \(-0.584069\pi\)
0.627522 + 0.778599i \(0.284069\pi\)
\(174\) −1.26294 1.80578i −0.0957433 0.136896i
\(175\) −15.4952 + 3.55947i −1.17133 + 0.269071i
\(176\) −14.0481 + 16.6674i −1.05892 + 1.25635i
\(177\) 3.38290 + 6.63931i 0.254274 + 0.499041i
\(178\) 18.7275 18.0650i 1.40368 1.35403i
\(179\) −11.9881 8.70985i −0.896031 0.651005i 0.0414122 0.999142i \(-0.486814\pi\)
−0.937444 + 0.348137i \(0.886814\pi\)
\(180\) 4.41592 + 0.706868i 0.329143 + 0.0526868i
\(181\) 1.42850 1.03787i 0.106179 0.0771439i −0.533429 0.845845i \(-0.679097\pi\)
0.639608 + 0.768701i \(0.279097\pi\)
\(182\) 1.21589 6.87356i 0.0901277 0.509502i
\(183\) −1.07372 + 6.77919i −0.0793715 + 0.501132i
\(184\) −0.114921 0.177604i −0.00847211 0.0130931i
\(185\) 17.4830 0.600933i 1.28538 0.0441815i
\(186\) −0.879179 + 0.268264i −0.0644645 + 0.0196701i
\(187\) 16.0136 31.4284i 1.17103 2.29827i
\(188\) 7.94233 7.39004i 0.579254 0.538974i
\(189\) 3.02412 + 0.982597i 0.219973 + 0.0714734i
\(190\) −3.93186 5.22968i −0.285247 0.379401i
\(191\) −8.50756 + 2.76427i −0.615585 + 0.200016i −0.600179 0.799866i \(-0.704904\pi\)
−0.0154061 + 0.999881i \(0.504904\pi\)
\(192\) −7.47805 + 2.84231i −0.539682 + 0.205126i
\(193\) −17.6293 17.6293i −1.26898 1.26898i −0.946614 0.322368i \(-0.895521\pi\)
−0.322368 0.946614i \(-0.604479\pi\)
\(194\) −1.01380 + 2.93905i −0.0727867 + 0.211011i
\(195\) −0.660424 3.40755i −0.0472939 0.244020i
\(196\) 5.16180 3.47343i 0.368700 0.248102i
\(197\) −21.9319 + 3.47367i −1.56258 + 0.247489i −0.876994 0.480502i \(-0.840455\pi\)
−0.685587 + 0.727990i \(0.740455\pi\)
\(198\) −3.62184 + 6.80267i −0.257393 + 0.483444i
\(199\) 13.2784 0.941282 0.470641 0.882325i \(-0.344023\pi\)
0.470641 + 0.882325i \(0.344023\pi\)
\(200\) 6.23435 12.6938i 0.440835 0.897588i
\(201\) 1.94360 0.137091
\(202\) −10.4633 + 19.6525i −0.736195 + 1.38275i
\(203\) −4.89363 + 0.775074i −0.343465 + 0.0543995i
\(204\) 10.7402 7.22717i 0.751962 0.506003i
\(205\) 1.28964 + 1.20393i 0.0900725 + 0.0840863i
\(206\) 3.32961 9.65266i 0.231985 0.672532i
\(207\) −0.0528854 0.0528854i −0.00367579 0.00367579i
\(208\) 4.06319 + 4.69496i 0.281731 + 0.325537i
\(209\) 10.7234 3.48423i 0.741750 0.241009i
\(210\) 5.77649 8.23045i 0.398616 0.567955i
\(211\) −3.06542 0.996017i −0.211032 0.0685686i 0.201593 0.979469i \(-0.435388\pi\)
−0.412625 + 0.910901i \(0.635388\pi\)
\(212\) 13.8809 12.9157i 0.953344 0.887051i
\(213\) −1.23706 + 2.42786i −0.0847619 + 0.166355i
\(214\) −25.8228 + 7.87930i −1.76521 + 0.538618i
\(215\) −7.50948 + 26.1347i −0.512143 + 1.78237i
\(216\) −2.37465 + 1.53656i −0.161575 + 0.104550i
\(217\) −0.323310 + 2.04130i −0.0219477 + 0.138572i
\(218\) −3.99048 + 22.5587i −0.270270 + 1.52787i
\(219\) 2.13951 1.55444i 0.144574 0.105039i
\(220\) 17.2044 + 17.2612i 1.15992 + 1.16375i
\(221\) −8.12844 5.90566i −0.546778 0.397258i
\(222\) −7.96281 + 7.68115i −0.534429 + 0.515525i
\(223\) 4.43449 + 8.70318i 0.296955 + 0.582808i 0.990485 0.137620i \(-0.0439453\pi\)
−0.693530 + 0.720428i \(0.743945\pi\)
\(224\) −1.61692 + 17.9146i −0.108035 + 1.19697i
\(225\) 1.21492 4.85015i 0.0809948 0.323343i
\(226\) −11.3815 16.2736i −0.757089 1.08250i
\(227\) −0.635189 + 0.323645i −0.0421590 + 0.0214811i −0.474943 0.880017i \(-0.657531\pi\)
0.432784 + 0.901498i \(0.357531\pi\)
\(228\) 4.06117 + 0.794044i 0.268958 + 0.0525869i
\(229\) −13.0845 + 18.0093i −0.864648 + 1.19009i 0.115793 + 0.993273i \(0.463059\pi\)
−0.980441 + 0.196812i \(0.936941\pi\)
\(230\) −0.208948 + 0.110806i −0.0137777 + 0.00730633i
\(231\) 10.1852 + 14.0187i 0.670135 + 0.922361i
\(232\) 2.20989 3.81311i 0.145086 0.250343i
\(233\) 3.83373 + 0.607204i 0.251156 + 0.0397792i 0.280743 0.959783i \(-0.409419\pi\)
−0.0295868 + 0.999562i \(0.509419\pi\)
\(234\) 1.75246 + 1.32208i 0.114562 + 0.0864273i
\(235\) −7.46222 9.56200i −0.486782 0.623756i
\(236\) −9.18807 + 11.7336i −0.598092 + 0.763792i
\(237\) 8.71750 + 4.44179i 0.566263 + 0.288525i
\(238\) −4.03504 28.8257i −0.261553 1.86849i
\(239\) 7.61415 23.4340i 0.492519 1.51582i −0.328270 0.944584i \(-0.606466\pi\)
0.820788 0.571232i \(-0.193534\pi\)
\(240\) 2.44176 + 8.60452i 0.157615 + 0.555419i
\(241\) −3.52384 10.8453i −0.226990 0.698605i −0.998083 0.0618821i \(-0.980290\pi\)
0.771093 0.636722i \(-0.219710\pi\)
\(242\) −23.7718 + 11.5781i −1.52811 + 0.744271i
\(243\) −0.707107 + 0.707107i −0.0453609 + 0.0453609i
\(244\) −13.1998 + 3.76928i −0.845028 + 0.241303i
\(245\) −3.36901 6.08571i −0.215238 0.388802i
\(246\) −1.11564 0.0200866i −0.0711305 0.00128068i
\(247\) −0.502418 3.17214i −0.0319681 0.201838i
\(248\) −1.22787 1.36822i −0.0779699 0.0868818i
\(249\) 5.72428i 0.362762i
\(250\) −13.5351 8.17316i −0.856036 0.516916i
\(251\) 3.59287i 0.226780i 0.993551 + 0.113390i \(0.0361709\pi\)
−0.993551 + 0.113390i \(0.963829\pi\)
\(252\) 0.768093 + 6.31295i 0.0483853 + 0.397678i
\(253\) −0.0637587 0.402557i −0.00400848 0.0253085i
\(254\) −0.370991 + 20.6053i −0.0232780 + 1.29289i
\(255\) −7.00990 12.6626i −0.438977 0.792960i
\(256\) −11.4605 11.1650i −0.716280 0.697813i
\(257\) 7.37059 7.37059i 0.459765 0.459765i −0.438813 0.898578i \(-0.644601\pi\)
0.898578 + 0.438813i \(0.144601\pi\)
\(258\) −7.53054 15.4614i −0.468831 0.962587i
\(259\) 7.68711 + 23.6585i 0.477653 + 1.47007i
\(260\) 5.62284 4.07110i 0.348714 0.252479i
\(261\) 0.481504 1.48192i 0.0298043 0.0917284i
\(262\) 9.05002 1.26683i 0.559112 0.0782649i
\(263\) 5.70232 + 2.90548i 0.351620 + 0.179159i 0.620875 0.783910i \(-0.286777\pi\)
−0.269255 + 0.963069i \(0.586777\pi\)
\(264\) −15.3910 0.832048i −0.947252 0.0512090i
\(265\) −13.0418 16.7116i −0.801152 1.02659i
\(266\) 5.60345 7.42754i 0.343570 0.455412i
\(267\) 18.1727 + 2.87827i 1.11215 + 0.176148i
\(268\) 1.63893 + 3.52480i 0.100113 + 0.215311i
\(269\) −9.21074 12.6775i −0.561589 0.772961i 0.429939 0.902858i \(-0.358535\pi\)
−0.991527 + 0.129897i \(0.958535\pi\)
\(270\) 1.48154 + 2.79375i 0.0901634 + 0.170022i
\(271\) −1.95435 + 2.68994i −0.118719 + 0.163402i −0.864240 0.503079i \(-0.832200\pi\)
0.745522 + 0.666481i \(0.232200\pi\)
\(272\) 22.1634 + 13.3835i 1.34385 + 0.811492i
\(273\) 4.39783 2.24081i 0.266169 0.135620i
\(274\) −13.1143 + 9.17201i −0.792265 + 0.554101i
\(275\) 20.8919 17.4915i 1.25983 1.05477i
\(276\) 0.0513147 0.140505i 0.00308878 0.00845743i
\(277\) −4.78210 9.38541i −0.287329 0.563914i 0.701553 0.712617i \(-0.252490\pi\)
−0.988882 + 0.148703i \(0.952490\pi\)
\(278\) −14.9101 15.4569i −0.894251 0.927042i
\(279\) −0.525836 0.382042i −0.0314810 0.0228723i
\(280\) 19.7973 + 3.53563i 1.18311 + 0.211295i
\(281\) 11.3562 8.25073i 0.677451 0.492197i −0.195060 0.980791i \(-0.562490\pi\)
0.872511 + 0.488594i \(0.162490\pi\)
\(282\) 7.55388 + 1.33623i 0.449827 + 0.0795715i
\(283\) 0.132703 0.837855i 0.00788839 0.0498053i −0.983430 0.181287i \(-0.941974\pi\)
0.991319 + 0.131482i \(0.0419736\pi\)
\(284\) −5.44618 0.196176i −0.323171 0.0116409i
\(285\) 1.27767 4.44658i 0.0756828 0.263393i
\(286\) 3.49132 + 11.4421i 0.206446 + 0.676584i
\(287\) −1.13899 + 2.23539i −0.0672323 + 0.131951i
\(288\) −4.78903 3.01084i −0.282196 0.177416i
\(289\) −23.6773 7.69322i −1.39278 0.452542i
\(290\) −4.03318 2.83066i −0.236837 0.166222i
\(291\) −2.09079 + 0.679338i −0.122564 + 0.0398235i
\(292\) 4.62318 + 2.56931i 0.270551 + 0.150358i
\(293\) −17.8592 17.8592i −1.04335 1.04335i −0.999017 0.0443303i \(-0.985885\pi\)
−0.0443303 0.999017i \(-0.514115\pi\)
\(294\) 4.15890 + 1.43458i 0.242552 + 0.0836664i
\(295\) 12.1796 + 11.3701i 0.709123 + 0.661994i
\(296\) −20.6447 7.96382i −1.19995 0.462888i
\(297\) −5.38240 + 0.852489i −0.312319 + 0.0494664i
\(298\) −19.6670 10.4710i −1.13928 0.606567i
\(299\) −0.116096 −0.00671398
\(300\) 9.82043 1.88655i 0.566983 0.108920i
\(301\) −38.6680 −2.22879
\(302\) 4.98862 + 2.65601i 0.287063 + 0.152836i
\(303\) −15.5495 + 2.46280i −0.893294 + 0.141484i
\(304\) 1.98453 + 8.03469i 0.113821 + 0.460821i
\(305\) 2.92022 + 15.0673i 0.167212 + 0.862751i
\(306\) 8.65342 + 2.98493i 0.494683 + 0.170637i
\(307\) 10.3879 + 10.3879i 0.592866 + 0.592866i 0.938405 0.345539i \(-0.112304\pi\)
−0.345539 + 0.938405i \(0.612304\pi\)
\(308\) −16.8349 + 30.2924i −0.959257 + 1.72607i
\(309\) 6.86674 2.23114i 0.390635 0.126925i
\(310\) −1.64286 + 1.23516i −0.0933081 + 0.0701523i
\(311\) −3.30183 1.07283i −0.187230 0.0608346i 0.213902 0.976855i \(-0.431383\pi\)
−0.401131 + 0.916021i \(0.631383\pi\)
\(312\) −0.919903 + 4.29300i −0.0520793 + 0.243043i
\(313\) 1.60421 3.14843i 0.0906751 0.177960i −0.841215 0.540701i \(-0.818159\pi\)
0.931890 + 0.362741i \(0.118159\pi\)
\(314\) 4.68687 + 15.3602i 0.264495 + 0.866828i
\(315\) 7.10595 0.244249i 0.400375 0.0137619i
\(316\) −0.704392 + 19.5551i −0.0396251 + 1.10006i
\(317\) −4.67900 + 29.5420i −0.262799 + 1.65925i 0.404561 + 0.914511i \(0.367424\pi\)
−0.667360 + 0.744736i \(0.732576\pi\)
\(318\) 13.2020 + 2.33535i 0.740332 + 0.130960i
\(319\) 6.86960 4.99105i 0.384624 0.279445i
\(320\) −13.5457 + 11.6840i −0.757226 + 0.653153i
\(321\) −15.4446 11.2211i −0.862032 0.626303i
\(322\) −0.233498 0.242060i −0.0130123 0.0134895i
\(323\) −6.07995 11.9326i −0.338297 0.663946i
\(324\) −1.87863 0.686105i −0.104368 0.0381169i
\(325\) −3.99008 6.65711i −0.221330 0.369270i
\(326\) −8.55076 + 5.98031i −0.473583 + 0.331218i
\(327\) −14.4334 + 7.35421i −0.798171 + 0.406689i
\(328\) −0.904328 2.04020i −0.0499331 0.112651i
\(329\) 10.1381 13.9539i 0.558933 0.769305i
\(330\) −2.41706 + 17.0625i −0.133055 + 0.939258i
\(331\) 9.91309 + 13.6442i 0.544873 + 0.749953i 0.989305 0.145860i \(-0.0465947\pi\)
−0.444433 + 0.895812i \(0.646595\pi\)
\(332\) −10.3812 + 4.82697i −0.569744 + 0.264914i
\(333\) −7.72693 1.22383i −0.423433 0.0670652i
\(334\) 15.1387 20.0668i 0.828355 1.09801i
\(335\) 4.08473 1.48419i 0.223173 0.0810899i
\(336\) −10.8011 + 6.71633i −0.589249 + 0.366406i
\(337\) 11.6829 + 5.95275i 0.636410 + 0.324267i 0.742257 0.670116i \(-0.233755\pi\)
−0.105847 + 0.994382i \(0.533755\pi\)
\(338\) −14.8326 + 2.07628i −0.806787 + 0.112935i
\(339\) 4.33929 13.3549i 0.235678 0.725341i
\(340\) 17.0530 23.3904i 0.924830 1.26852i
\(341\) −1.09454 3.36865i −0.0592726 0.182422i
\(342\) 1.28125 + 2.63063i 0.0692823 + 0.142248i
\(343\) −8.74452 + 8.74452i −0.472160 + 0.472160i
\(344\) 21.6899 26.6947i 1.16944 1.43928i
\(345\) −0.151531 0.0707610i −0.00815814 0.00380965i
\(346\) −0.137724 + 7.64936i −0.00740408 + 0.411232i
\(347\) 5.76587 + 36.4043i 0.309528 + 1.95428i 0.298715 + 0.954342i \(0.403442\pi\)
0.0108135 + 0.999942i \(0.496558\pi\)
\(348\) 3.09355 0.376390i 0.165831 0.0201766i
\(349\) 16.2550i 0.870112i 0.900403 + 0.435056i \(0.143271\pi\)
−0.900403 + 0.435056i \(0.856729\pi\)
\(350\) 5.85506 21.7085i 0.312966 1.16037i
\(351\) 1.55226i 0.0828535i
\(352\) −11.4694 28.6139i −0.611323 1.52513i
\(353\) −0.452204 2.85511i −0.0240684 0.151962i 0.972727 0.231952i \(-0.0745112\pi\)
−0.996796 + 0.0799899i \(0.974511\pi\)
\(354\) −10.5363 0.189701i −0.559996 0.0100825i
\(355\) −0.745857 + 6.04714i −0.0395860 + 0.320949i
\(356\) 10.1042 + 35.3841i 0.535519 + 1.87535i
\(357\) 14.5534 14.5534i 0.770246 0.770246i
\(358\) 18.8401 9.17613i 0.995731 0.484974i
\(359\) 0.862634 + 2.65492i 0.0455281 + 0.140121i 0.971237 0.238117i \(-0.0765301\pi\)
−0.925708 + 0.378238i \(0.876530\pi\)
\(360\) −3.81729 + 5.04264i −0.201189 + 0.265771i
\(361\) −4.54845 + 13.9987i −0.239392 + 0.736773i
\(362\) 0.346172 + 2.47300i 0.0181944 + 0.129978i
\(363\) −16.6591 8.48825i −0.874377 0.445518i
\(364\) 7.77225 + 6.08611i 0.407376 + 0.318999i
\(365\) 3.30944 4.90066i 0.173224 0.256512i
\(366\) −7.74892 5.84591i −0.405043 0.305571i
\(367\) −2.64453 0.418853i −0.138044 0.0218639i 0.0870303 0.996206i \(-0.472262\pi\)
−0.225074 + 0.974342i \(0.572262\pi\)
\(368\) 0.298083 0.0254190i 0.0155387 0.00132506i
\(369\) −0.463764 0.638317i −0.0241426 0.0332295i
\(370\) −10.8694 + 22.2236i −0.565072 + 1.15535i
\(371\) 17.7185 24.3875i 0.919900 1.26613i
\(372\) 0.249442 1.27578i 0.0129330 0.0661462i
\(373\) 26.3105 13.4059i 1.36231 0.694130i 0.388487 0.921454i \(-0.372998\pi\)
0.973819 + 0.227324i \(0.0729978\pi\)
\(374\) 28.5895 + 40.8778i 1.47833 + 2.11374i
\(375\) −1.15039 11.1210i −0.0594061 0.574286i
\(376\) 3.94645 + 14.8261i 0.203523 + 0.764596i
\(377\) −1.09807 2.15508i −0.0565533 0.110992i
\(378\) −3.23648 + 3.12200i −0.166466 + 0.160578i
\(379\) 9.56556 + 6.94978i 0.491350 + 0.356986i 0.805703 0.592320i \(-0.201788\pi\)
−0.314353 + 0.949306i \(0.601788\pi\)
\(380\) 9.14146 1.43244i 0.468947 0.0734827i
\(381\) −11.7894 + 8.56551i −0.603990 + 0.438825i
\(382\) 2.20361 12.4573i 0.112747 0.637369i
\(383\) 3.61331 22.8135i 0.184632 1.16572i −0.705057 0.709150i \(-0.749079\pi\)
0.889689 0.456567i \(-0.150921\pi\)
\(384\) 1.42197 11.2240i 0.0725645 0.572772i
\(385\) 32.1106 + 21.6845i 1.63651 + 1.10514i
\(386\) 33.7236 10.2901i 1.71648 0.523751i
\(387\) 5.52084 10.8353i 0.280640 0.550787i
\(388\) −2.99505 3.21889i −0.152051 0.163414i
\(389\) −3.09467 1.00552i −0.156906 0.0509818i 0.229511 0.973306i \(-0.426287\pi\)
−0.386417 + 0.922324i \(0.626287\pi\)
\(390\) 4.69261 + 1.44031i 0.237620 + 0.0729328i
\(391\) −0.460408 + 0.149596i −0.0232838 + 0.00756537i
\(392\) 0.905295 + 8.75204i 0.0457243 + 0.442045i
\(393\) 4.56913 + 4.56913i 0.230482 + 0.230482i
\(394\) 10.2401 29.6865i 0.515890 1.49558i
\(395\) 21.7129 + 2.67808i 1.09249 + 0.134749i
\(396\) −6.08470 9.04236i −0.305768 0.454396i
\(397\) 13.8296 2.19040i 0.694089 0.109933i 0.200585 0.979676i \(-0.435716\pi\)
0.493504 + 0.869743i \(0.335716\pi\)
\(398\) −8.82508 + 16.5756i −0.442362 + 0.830860i
\(399\) 6.57902 0.329363
\(400\) 11.7024 + 16.2190i 0.585118 + 0.810948i
\(401\) 21.6899 1.08314 0.541571 0.840655i \(-0.317830\pi\)
0.541571 + 0.840655i \(0.317830\pi\)
\(402\) −1.29175 + 2.42621i −0.0644267 + 0.121009i
\(403\) −0.996500 + 0.157830i −0.0496392 + 0.00786208i
\(404\) −17.5784 26.1229i −0.874558 1.29966i
\(405\) −0.946113 + 2.02605i −0.0470127 + 0.100675i
\(406\) 2.28486 6.62390i 0.113396 0.328739i
\(407\) −30.1459 30.1459i −1.49428 1.49428i
\(408\) 1.88365 + 18.2104i 0.0932545 + 0.901548i
\(409\) −7.03252 + 2.28500i −0.347736 + 0.112986i −0.477677 0.878536i \(-0.658521\pi\)
0.129941 + 0.991522i \(0.458521\pi\)
\(410\) −2.36000 + 0.809719i −0.116552 + 0.0399892i
\(411\) −10.7623 3.49689i −0.530865 0.172489i
\(412\) 9.83660 + 10.5717i 0.484615 + 0.520832i
\(413\) −10.7568 + 21.1114i −0.529306 + 1.03882i
\(414\) 0.101166 0.0308688i 0.00497205 0.00151712i
\(415\) 4.37123 + 12.0304i 0.214575 + 0.590547i
\(416\) −8.56125 + 1.95176i −0.419750 + 0.0956931i
\(417\) 2.37561 14.9990i 0.116334 0.734505i
\(418\) −2.77754 + 15.7018i −0.135854 + 0.767999i
\(419\) −18.4469 + 13.4024i −0.901189 + 0.654752i −0.938771 0.344542i \(-0.888034\pi\)
0.0375823 + 0.999294i \(0.488034\pi\)
\(420\) 6.43500 + 12.6810i 0.313996 + 0.618768i
\(421\) −7.58603 5.51157i −0.369721 0.268618i 0.387375 0.921922i \(-0.373382\pi\)
−0.757095 + 0.653305i \(0.773382\pi\)
\(422\) 3.28068 3.16463i 0.159701 0.154052i
\(423\) 2.46259 + 4.83311i 0.119735 + 0.234994i
\(424\) 6.89726 + 25.9117i 0.334961 + 1.25838i
\(425\) −24.4018 21.2591i −1.18366 1.03122i
\(426\) −2.20856 3.15784i −0.107005 0.152998i
\(427\) −19.4461 + 9.90827i −0.941061 + 0.479495i
\(428\) 7.32647 37.4716i 0.354138 1.81126i
\(429\) −4.97209 + 6.84350i −0.240055 + 0.330407i
\(430\) −27.6332 26.7438i −1.33259 1.28970i
\(431\) −2.42444 3.33696i −0.116781 0.160736i 0.746625 0.665246i \(-0.231673\pi\)
−0.863406 + 0.504510i \(0.831673\pi\)
\(432\) −0.339866 3.98554i −0.0163518 0.191754i
\(433\) 6.83033 + 1.08182i 0.328245 + 0.0519888i 0.318382 0.947963i \(-0.396861\pi\)
0.00986265 + 0.999951i \(0.496861\pi\)
\(434\) −2.33330 1.76028i −0.112002 0.0844959i
\(435\) −0.119690 3.48214i −0.00573868 0.166956i
\(436\) −25.5081 19.9743i −1.22162 0.956595i
\(437\) −0.137880 0.0702532i −0.00659568 0.00336067i
\(438\) 0.518472 + 3.70388i 0.0247735 + 0.176978i
\(439\) 2.92427 8.99998i 0.139568 0.429546i −0.856705 0.515807i \(-0.827492\pi\)
0.996273 + 0.0862616i \(0.0274921\pi\)
\(440\) −32.9817 + 10.0044i −1.57234 + 0.476940i
\(441\) 0.961297 + 2.95857i 0.0457761 + 0.140884i
\(442\) 12.7744 6.22181i 0.607617 0.295941i
\(443\) 13.6461 13.6461i 0.648348 0.648348i −0.304246 0.952593i \(-0.598404\pi\)
0.952593 + 0.304246i \(0.0984045\pi\)
\(444\) −4.29623 15.0451i −0.203890 0.714009i
\(445\) 40.3903 7.82813i 1.91469 0.371089i
\(446\) −13.8115 0.248671i −0.653995 0.0117749i
\(447\) −2.46460 15.5609i −0.116572 0.736004i
\(448\) −21.2883 13.9248i −1.00578 0.657884i
\(449\) 10.3957i 0.490602i −0.969447 0.245301i \(-0.921113\pi\)
0.969447 0.245301i \(-0.0788868\pi\)
\(450\) 5.24704 + 4.74010i 0.247348 + 0.223451i
\(451\) 4.29967i 0.202463i
\(452\) 27.8789 3.39200i 1.31131 0.159546i
\(453\) 0.625158 + 3.94709i 0.0293725 + 0.185451i
\(454\) 0.0181489 1.00801i 0.000851771 0.0473085i
\(455\) 7.53149 8.06767i 0.353082 0.378218i
\(456\) −3.69035 + 4.54187i −0.172816 + 0.212693i
\(457\) −19.6212 + 19.6212i −0.917839 + 0.917839i −0.996872 0.0790331i \(-0.974817\pi\)
0.0790331 + 0.996872i \(0.474817\pi\)
\(458\) −13.7850 28.3028i −0.644129 1.32250i
\(459\) 2.00017 + 6.15590i 0.0933601 + 0.287333i
\(460\) 0.000550687 0.334476i 2.56759e−5 0.0155950i
\(461\) 1.59229 4.90056i 0.0741602 0.228242i −0.907105 0.420905i \(-0.861713\pi\)
0.981265 + 0.192663i \(0.0617126\pi\)
\(462\) −24.2689 + 3.39718i −1.12909 + 0.158051i
\(463\) −9.16026 4.66738i −0.425713 0.216912i 0.227989 0.973664i \(-0.426785\pi\)
−0.653702 + 0.756752i \(0.726785\pi\)
\(464\) 3.29121 + 5.29289i 0.152791 + 0.245716i
\(465\) −1.39686 0.401370i −0.0647776 0.0186131i
\(466\) −3.30595 + 4.38213i −0.153145 + 0.202998i
\(467\) 23.4649 + 3.71647i 1.08582 + 0.171978i 0.673594 0.739102i \(-0.264750\pi\)
0.412231 + 0.911079i \(0.364750\pi\)
\(468\) −2.81509 + 1.30893i −0.130128 + 0.0605055i
\(469\) 3.63261 + 4.99985i 0.167738 + 0.230872i
\(470\) 16.8959 2.96009i 0.779349 0.136539i
\(471\) −6.67470 + 9.18694i −0.307554 + 0.423312i
\(472\) −8.54062 19.2679i −0.393114 0.886879i
\(473\) 59.0467 30.0858i 2.71497 1.38335i
\(474\) −11.3386 + 7.93006i −0.520797 + 0.364240i
\(475\) −0.710339 10.3208i −0.0325926 0.473549i
\(476\) 38.6652 + 14.1211i 1.77222 + 0.647240i
\(477\) 4.30390 + 8.44688i 0.197062 + 0.386756i
\(478\) 24.1924 + 25.0795i 1.10653 + 1.14711i
\(479\) 4.54572 + 3.30266i 0.207699 + 0.150902i 0.686772 0.726873i \(-0.259027\pi\)
−0.479073 + 0.877775i \(0.659027\pi\)
\(480\) −12.3640 2.67065i −0.564335 0.121898i
\(481\) −9.82447 + 7.13790i −0.447957 + 0.325460i
\(482\) 15.8803 + 2.80912i 0.723327 + 0.127952i
\(483\) 0.0372029 0.234890i 0.00169279 0.0106879i
\(484\) 1.34609 37.3697i 0.0611860 1.69862i
\(485\) −3.87531 + 3.02431i −0.175969 + 0.137327i
\(486\) −0.412733 1.35265i −0.0187219 0.0613573i
\(487\) −11.0631 + 21.7126i −0.501319 + 0.983893i 0.492228 + 0.870467i \(0.336183\pi\)
−0.993546 + 0.113427i \(0.963817\pi\)
\(488\) 4.06757 18.9825i 0.184130 0.859299i
\(489\) −7.01721 2.28003i −0.317329 0.103106i
\(490\) 9.83597 0.160894i 0.444344 0.00726845i
\(491\) −29.1023 + 9.45592i −1.31337 + 0.426740i −0.880213 0.474579i \(-0.842600\pi\)
−0.433157 + 0.901318i \(0.642600\pi\)
\(492\) 0.766549 1.37931i 0.0345587 0.0621843i
\(493\) −7.13161 7.13161i −0.321192 0.321192i
\(494\) 4.29374 + 1.48109i 0.193184 + 0.0666374i
\(495\) −10.6609 + 5.90178i −0.479170 + 0.265265i
\(496\) 2.52403 0.623422i 0.113332 0.0279925i
\(497\) −8.55769 + 1.35541i −0.383865 + 0.0607982i
\(498\) −7.14569 3.80447i −0.320206 0.170482i
\(499\) 7.04119 0.315207 0.157603 0.987502i \(-0.449623\pi\)
0.157603 + 0.987502i \(0.449623\pi\)
\(500\) 19.1983 11.4640i 0.858576 0.512686i
\(501\) 17.7744 0.794102
\(502\) −4.48502 2.38789i −0.200176 0.106577i
\(503\) 20.7582 3.28777i 0.925562 0.146595i 0.324581 0.945858i \(-0.394777\pi\)
0.600981 + 0.799263i \(0.294777\pi\)
\(504\) −8.39102 3.23689i −0.373766 0.144182i
\(505\) −30.7987 + 17.0499i −1.37052 + 0.758712i
\(506\) 0.544892 + 0.187956i 0.0242234 + 0.00835567i
\(507\) −7.48861 7.48861i −0.332581 0.332581i
\(508\) −25.4753 14.1578i −1.13028 0.628151i
\(509\) 29.1283 9.46435i 1.29109 0.419500i 0.418616 0.908164i \(-0.362515\pi\)
0.872472 + 0.488664i \(0.162515\pi\)
\(510\) 20.4657 0.334772i 0.906237 0.0148240i
\(511\) 7.99752 + 2.59855i 0.353790 + 0.114953i
\(512\) 21.5543 6.88577i 0.952573 0.304311i
\(513\) −0.939323 + 1.84352i −0.0414721 + 0.0813936i
\(514\) 4.30216 + 14.0994i 0.189760 + 0.621899i
\(515\) 12.7276 9.93268i 0.560846 0.437686i
\(516\) 24.3056 + 0.875511i 1.07000 + 0.0385422i
\(517\) −4.62418 + 29.1959i −0.203371 + 1.28403i
\(518\) −34.6421 6.12797i −1.52209 0.269248i
\(519\) −4.37661 + 3.17980i −0.192112 + 0.139578i
\(520\) 1.34496 + 9.72479i 0.0589804 + 0.426460i
\(521\) 6.23330 + 4.52876i 0.273086 + 0.198409i 0.715896 0.698207i \(-0.246018\pi\)
−0.442810 + 0.896615i \(0.646018\pi\)
\(522\) 1.52988 + 1.58598i 0.0669609 + 0.0694163i
\(523\) 6.42384 + 12.6075i 0.280895 + 0.551287i 0.987745 0.156076i \(-0.0498845\pi\)
−0.706850 + 0.707363i \(0.749884\pi\)
\(524\) −4.43342 + 12.1392i −0.193675 + 0.530303i
\(525\) 14.7476 5.93963i 0.643638 0.259227i
\(526\) −7.41681 + 5.18724i −0.323388 + 0.226174i
\(527\) −3.74851 + 1.90996i −0.163288 + 0.0831993i
\(528\) 11.2678 18.6598i 0.490369 0.812063i
\(529\) 13.5158 18.6029i 0.587642 0.808820i
\(530\) 29.5291 5.17339i 1.28266 0.224718i
\(531\) −4.37987 6.02837i −0.190070 0.261609i
\(532\) 5.54772 + 11.9313i 0.240524 + 0.517289i
\(533\) −1.20966 0.191591i −0.0523962 0.00829874i
\(534\) −15.6709 + 20.7722i −0.678147 + 0.898903i
\(535\) −41.0277 11.7888i −1.77378 0.509675i
\(536\) −5.48931 0.296755i −0.237102 0.0128179i
\(537\) 13.2030 + 6.72727i 0.569752 + 0.290303i
\(538\) 21.9471 3.07217i 0.946207 0.132451i
\(539\) −5.23858 + 16.1227i −0.225642 + 0.694454i
\(540\) −4.47213 0.00736298i −0.192450 0.000316852i
\(541\) 7.51720 + 23.1356i 0.323190 + 0.994675i 0.972251 + 0.233939i \(0.0751617\pi\)
−0.649062 + 0.760736i \(0.724838\pi\)
\(542\) −2.05898 4.22743i −0.0884407 0.181583i
\(543\) −1.24855 + 1.24855i −0.0535806 + 0.0535806i
\(544\) −31.4369 + 18.7719i −1.34785 + 0.804838i
\(545\) −24.7179 + 26.4777i −1.05880 + 1.13418i
\(546\) −0.125657 + 6.97915i −0.00537762 + 0.298680i
\(547\) −3.14257 19.8414i −0.134366 0.848356i −0.959148 0.282905i \(-0.908702\pi\)
0.824782 0.565451i \(-0.191298\pi\)
\(548\) −2.73350 22.4666i −0.116769 0.959727i
\(549\) 6.86369i 0.292935i
\(550\) 7.94961 + 37.7048i 0.338973 + 1.60774i
\(551\) 3.22393i 0.137344i
\(552\) 0.141290 + 0.157439i 0.00601369 + 0.00670106i
\(553\) 4.86673 + 30.7273i 0.206954 + 1.30666i
\(554\) 14.8942 + 0.268164i 0.632793 + 0.0113932i
\(555\) −17.1737 + 3.32848i −0.728985 + 0.141286i
\(556\) 29.2046 8.33956i 1.23855 0.353676i
\(557\) −2.56325 + 2.56325i −0.108608 + 0.108608i −0.759323 0.650714i \(-0.774470\pi\)
0.650714 + 0.759323i \(0.274470\pi\)
\(558\) 0.826389 0.402495i 0.0349838 0.0170390i
\(559\) −5.83318 17.9527i −0.246717 0.759317i
\(560\) −17.5712 + 22.3633i −0.742520 + 0.945023i
\(561\) −10.8999 + 33.5465i −0.460195 + 1.41634i
\(562\) 2.75196 + 19.6596i 0.116085 + 0.829290i
\(563\) −15.8692 8.08577i −0.668808 0.340775i 0.0863997 0.996261i \(-0.472464\pi\)
−0.755207 + 0.655486i \(0.772464\pi\)
\(564\) −6.68849 + 8.54151i −0.281636 + 0.359662i
\(565\) −1.07864 31.3808i −0.0453786 1.32020i
\(566\) 0.957707 + 0.722510i 0.0402554 + 0.0303693i
\(567\) −3.14060 0.497423i −0.131893 0.0208898i
\(568\) 3.86452 6.66815i 0.162152 0.279789i
\(569\) 7.18354 + 9.88730i 0.301150 + 0.414497i 0.932596 0.360923i \(-0.117538\pi\)
−0.631446 + 0.775420i \(0.717538\pi\)
\(570\) 4.70156 + 4.55022i 0.196927 + 0.190588i
\(571\) −15.9439 + 21.9448i −0.667230 + 0.918363i −0.999694 0.0247529i \(-0.992120\pi\)
0.332464 + 0.943116i \(0.392120\pi\)
\(572\) −16.6037 3.24636i −0.694234 0.135737i
\(573\) 7.97039 4.06112i 0.332968 0.169656i
\(574\) −2.03347 2.90749i −0.0848753 0.121356i
\(575\) −0.372498 0.0330005i −0.0155342 0.00137622i
\(576\) 6.94135 3.97714i 0.289223 0.165714i
\(577\) 2.08336 + 4.08883i 0.0867315 + 0.170220i 0.930298 0.366805i \(-0.119548\pi\)
−0.843567 + 0.537025i \(0.819548\pi\)
\(578\) 25.3399 24.4436i 1.05400 1.01672i
\(579\) 20.1700 + 14.6544i 0.838239 + 0.609016i
\(580\) 6.21408 3.15336i 0.258026 0.130936i
\(581\) −14.7256 + 10.6988i −0.610920 + 0.443859i
\(582\) 0.541552 3.06146i 0.0224480 0.126901i
\(583\) −8.08173 + 51.0260i −0.334711 + 2.11328i
\(584\) −6.27995 + 4.06355i −0.259866 + 0.168151i
\(585\) 1.18535 + 3.26228i 0.0490082 + 0.134879i
\(586\) 34.1635 10.4243i 1.41128 0.430624i
\(587\) −17.2515 + 33.8579i −0.712044 + 1.39746i 0.196849 + 0.980434i \(0.436929\pi\)
−0.908893 + 0.417030i \(0.863071\pi\)
\(588\) −4.55488 + 4.23815i −0.187840 + 0.174778i
\(589\) −1.27899 0.415569i −0.0526999 0.0171232i
\(590\) −22.2882 + 7.64712i −0.917593 + 0.314827i
\(591\) 21.1185 6.86180i 0.868697 0.282257i
\(592\) 23.6622 20.4781i 0.972510 0.841645i
\(593\) 17.3285 + 17.3285i 0.711597 + 0.711597i 0.966869 0.255272i \(-0.0821651\pi\)
−0.255272 + 0.966869i \(0.582165\pi\)
\(594\) 2.51307 7.28549i 0.103113 0.298927i
\(595\) 19.4725 41.6992i 0.798294 1.70950i
\(596\) 26.1421 17.5913i 1.07082 0.720567i
\(597\) −13.1149 + 2.07720i −0.536758 + 0.0850142i
\(598\) 0.0771593 0.144923i 0.00315528 0.00592636i
\(599\) −10.4401 −0.426571 −0.213286 0.976990i \(-0.568417\pi\)
−0.213286 + 0.976990i \(0.568417\pi\)
\(600\) −4.17185 + 13.5128i −0.170315 + 0.551658i
\(601\) −39.5374 −1.61276 −0.806382 0.591395i \(-0.798578\pi\)
−0.806382 + 0.591395i \(0.798578\pi\)
\(602\) 25.6995 48.2697i 1.04743 1.96733i
\(603\) −1.91967 + 0.304046i −0.0781749 + 0.0123817i
\(604\) −6.63106 + 4.46211i −0.269814 + 0.181561i
\(605\) −41.4933 5.11780i −1.68694 0.208068i
\(606\) 7.26014 21.0474i 0.294923 0.854993i
\(607\) −2.10515 2.10515i −0.0854455 0.0854455i 0.663092 0.748538i \(-0.269244\pi\)
−0.748538 + 0.663092i \(0.769244\pi\)
\(608\) −11.3488 2.86270i −0.460253 0.116098i
\(609\) 4.71213 1.53106i 0.190945 0.0620418i
\(610\) −20.7495 6.36866i −0.840124 0.257860i
\(611\) 8.00786 + 2.60191i 0.323963 + 0.105262i
\(612\) −9.47735 + 8.81833i −0.383099 + 0.356460i
\(613\) −8.36070 + 16.4088i −0.337686 + 0.662745i −0.995937 0.0900529i \(-0.971296\pi\)
0.658251 + 0.752798i \(0.271296\pi\)
\(614\) −19.8712 + 6.06331i −0.801938 + 0.244695i
\(615\) −1.46210 0.987365i −0.0589576 0.0398144i
\(616\) −26.6256 41.1481i −1.07277 1.65790i
\(617\) 0.527802 3.33241i 0.0212485 0.134158i −0.974784 0.223152i \(-0.928365\pi\)
0.996032 + 0.0889944i \(0.0283653\pi\)
\(618\) −1.77861 + 10.0547i −0.0715461 + 0.404459i
\(619\) 2.13354 1.55011i 0.0857543 0.0623042i −0.544082 0.839032i \(-0.683122\pi\)
0.629836 + 0.776728i \(0.283122\pi\)
\(620\) −0.449989 2.87171i −0.0180720 0.115331i
\(621\) 0.0605074 + 0.0439612i 0.00242808 + 0.00176410i
\(622\) 3.53368 3.40869i 0.141688 0.136676i
\(623\) 26.5607 + 52.1283i 1.06413 + 2.08848i
\(624\) −4.74762 4.00154i −0.190057 0.160190i
\(625\) −10.9100 22.4938i −0.436401 0.899752i
\(626\) 2.86404 + 4.09506i 0.114470 + 0.163671i
\(627\) −10.0463 + 5.11883i −0.401210 + 0.204427i
\(628\) −22.2893 4.35803i −0.889441 0.173904i
\(629\) −29.7640 + 40.9666i −1.18677 + 1.63345i
\(630\) −4.41785 + 9.03277i −0.176011 + 0.359874i
\(631\) 10.3612 + 14.2610i 0.412473 + 0.567721i 0.963820 0.266556i \(-0.0858856\pi\)
−0.551346 + 0.834277i \(0.685886\pi\)
\(632\) −23.9427 13.8760i −0.952389 0.551957i
\(633\) 3.18349 + 0.504216i 0.126533 + 0.0200408i
\(634\) −33.7679 25.4751i −1.34110 1.01174i
\(635\) −18.2362 + 27.0043i −0.723681 + 1.07163i
\(636\) −11.6895 + 14.9281i −0.463521 + 0.591938i
\(637\) 4.30250 + 2.19223i 0.170471 + 0.0868594i
\(638\) 1.66473 + 11.8925i 0.0659072 + 0.470830i
\(639\) 0.842027 2.59149i 0.0333101 0.102518i
\(640\) −5.58251 24.6746i −0.220668 0.975349i
\(641\) −0.825383 2.54027i −0.0326007 0.100335i 0.933432 0.358754i \(-0.116798\pi\)
−0.966033 + 0.258419i \(0.916798\pi\)
\(642\) 24.2722 11.8219i 0.957949 0.466572i
\(643\) 27.1171 27.1171i 1.06939 1.06939i 0.0719883 0.997405i \(-0.477066\pi\)
0.997405 0.0719883i \(-0.0229344\pi\)
\(644\) 0.457354 0.130601i 0.0180223 0.00514638i
\(645\) 3.32867 26.9876i 0.131066 1.06264i
\(646\) 18.9364 + 0.340943i 0.745043 + 0.0134142i
\(647\) 4.46668 + 28.2015i 0.175603 + 1.10872i 0.905246 + 0.424888i \(0.139686\pi\)
−0.729643 + 0.683829i \(0.760314\pi\)
\(648\) 2.10505 1.88912i 0.0826941 0.0742117i
\(649\) 40.6067i 1.59395i
\(650\) 10.9620 0.556418i 0.429966 0.0218245i
\(651\) 2.06674i 0.0810020i
\(652\) −1.78229 14.6486i −0.0697999 0.573685i
\(653\) 4.03203 + 25.4573i 0.157786 + 0.996219i 0.931779 + 0.363026i \(0.118256\pi\)
−0.773993 + 0.633194i \(0.781744\pi\)
\(654\) 0.412399 22.9052i 0.0161261 0.895664i
\(655\) 13.0918 + 6.11352i 0.511537 + 0.238875i
\(656\) 3.14783 + 0.227070i 0.122902 + 0.00886560i
\(657\) −1.87000 + 1.87000i −0.0729555 + 0.0729555i
\(658\) 10.6809 + 21.9296i 0.416383 + 0.854904i
\(659\) 4.53553 + 13.9589i 0.176679 + 0.543763i 0.999706 0.0242396i \(-0.00771645\pi\)
−0.823027 + 0.568002i \(0.807716\pi\)
\(660\) −19.6928 14.3573i −0.766543 0.558856i
\(661\) 4.78767 14.7349i 0.186219 0.573123i −0.813748 0.581217i \(-0.802577\pi\)
0.999967 + 0.00809448i \(0.00257658\pi\)
\(662\) −23.6206 + 3.30643i −0.918042 + 0.128508i
\(663\) 8.95221 + 4.56138i 0.347675 + 0.177149i
\(664\) 0.874004 16.1671i 0.0339179 0.627406i
\(665\) 13.8267 5.02394i 0.536177 0.194820i
\(666\) 6.66318 8.83224i 0.258193 0.342242i
\(667\) −0.115104 0.0182306i −0.00445683 0.000705892i
\(668\) 14.9882 + 32.2347i 0.579910 + 1.24720i
\(669\) −5.74137 7.90232i −0.221974 0.305521i
\(670\) −0.862061 + 6.08544i −0.0333043 + 0.235101i
\(671\) 21.9853 30.2602i 0.848733 1.16818i
\(672\) −1.20544 17.9470i −0.0465010 0.692319i
\(673\) −28.5722 + 14.5583i −1.10138 + 0.561181i −0.907588 0.419862i \(-0.862078\pi\)
−0.193791 + 0.981043i \(0.562078\pi\)
\(674\) −15.1956 + 10.6276i −0.585312 + 0.409361i
\(675\) −0.441234 + 4.98049i −0.0169831 + 0.191699i
\(676\) 7.26619 19.8956i 0.279469 0.765217i
\(677\) 2.52536 + 4.95630i 0.0970574 + 0.190486i 0.934430 0.356146i \(-0.115910\pi\)
−0.837373 + 0.546632i \(0.815910\pi\)
\(678\) 13.7872 + 14.2927i 0.529493 + 0.548909i
\(679\) −5.65529 4.10881i −0.217030 0.157681i
\(680\) 17.8647 + 36.8332i 0.685081 + 1.41249i
\(681\) 0.576740 0.419026i 0.0221007 0.0160571i
\(682\) 4.93257 + 0.872540i 0.188878 + 0.0334113i
\(683\) −4.24480 + 26.8006i −0.162423 + 1.02550i 0.762955 + 0.646451i \(0.223748\pi\)
−0.925378 + 0.379046i \(0.876252\pi\)
\(684\) −4.13539 0.148961i −0.158121 0.00569565i
\(685\) −25.2888 + 0.869237i −0.966234 + 0.0332118i
\(686\) −5.10411 16.7277i −0.194876 0.638665i
\(687\) 10.1061 19.8344i 0.385573 0.756730i
\(688\) 18.9078 + 44.8176i 0.720853 + 1.70865i
\(689\) 13.9954 + 4.54739i 0.533184 + 0.173242i
\(690\) 0.189042 0.142129i 0.00719671 0.00541074i
\(691\) 10.1763 3.30648i 0.387125 0.125785i −0.108987 0.994043i \(-0.534761\pi\)
0.496112 + 0.868259i \(0.334761\pi\)
\(692\) −9.45725 5.25583i −0.359511 0.199797i
\(693\) −12.2528 12.2528i −0.465444 0.465444i
\(694\) −49.2760 16.9974i −1.87049 0.645211i
\(695\) −6.46102 33.3365i −0.245080 1.26453i
\(696\) −1.58618 + 4.11186i −0.0601239 + 0.155860i
\(697\) −5.04410 + 0.798907i −0.191059 + 0.0302608i
\(698\) −20.2914 10.8034i −0.768039 0.408915i
\(699\) −3.88152 −0.146813
\(700\) 23.2076 + 21.7368i 0.877165 + 0.821575i
\(701\) 1.06849 0.0403564 0.0201782 0.999796i \(-0.493577\pi\)
0.0201782 + 0.999796i \(0.493577\pi\)
\(702\) −1.93770 1.03166i −0.0731339 0.0389375i
\(703\) −15.9873 + 2.53214i −0.602973 + 0.0955015i
\(704\) 43.3419 + 4.69991i 1.63351 + 0.177134i
\(705\) 8.86618 + 8.27692i 0.333919 + 0.311727i
\(706\) 3.86461 + 1.33307i 0.145446 + 0.0501706i
\(707\) −35.3976 35.3976i −1.33126 1.33126i
\(708\) 7.23941 13.0265i 0.272074 0.489564i
\(709\) 29.4261 9.56113i 1.10512 0.359076i 0.301050 0.953608i \(-0.402663\pi\)
0.804071 + 0.594533i \(0.202663\pi\)
\(710\) −7.05300 4.95011i −0.264694 0.185774i
\(711\) −9.30503 3.02339i −0.348966 0.113386i
\(712\) −50.8858 10.9038i −1.90702 0.408637i
\(713\) −0.0220694 + 0.0433137i −0.000826506 + 0.00162211i
\(714\) 8.49469 + 27.8396i 0.317906 + 1.04187i
\(715\) −5.22363 + 18.1794i −0.195353 + 0.679870i
\(716\) −1.06683 + 29.6170i −0.0398693 + 1.10684i
\(717\) −3.85453 + 24.3366i −0.143950 + 0.908865i
\(718\) −3.88748 0.687671i −0.145080 0.0256636i
\(719\) −1.95804 + 1.42260i −0.0730227 + 0.0530541i −0.623698 0.781666i \(-0.714370\pi\)
0.550675 + 0.834720i \(0.314370\pi\)
\(720\) −3.75775 8.11661i −0.140043 0.302488i
\(721\) 18.5736 + 13.4945i 0.691715 + 0.502561i
\(722\) −14.4517 14.9817i −0.537838 0.557560i
\(723\) 5.17703 + 10.1605i 0.192536 + 0.377873i
\(724\) −3.31714 1.21147i −0.123281 0.0450239i
\(725\) −2.91061 7.22679i −0.108097 0.268396i
\(726\) 21.6680 15.1543i 0.804173 0.562430i
\(727\) 14.1359 7.20259i 0.524271 0.267129i −0.171763 0.985138i \(-0.554946\pi\)
0.696034 + 0.718009i \(0.254946\pi\)
\(728\) −12.7629 + 5.65724i −0.473026 + 0.209671i
\(729\) 0.587785 0.809017i 0.0217698 0.0299636i
\(730\) 3.91803 + 7.38829i 0.145013 + 0.273453i
\(731\) −46.2660 63.6797i −1.71121 2.35528i
\(732\) 12.4476 5.78777i 0.460077 0.213922i
\(733\) 32.7760 + 5.19121i 1.21061 + 0.191742i 0.728920 0.684599i \(-0.240023\pi\)
0.481691 + 0.876341i \(0.340023\pi\)
\(734\) 2.28047 3.02282i 0.0841735 0.111574i
\(735\) 4.27955 + 5.48376i 0.157853 + 0.202271i
\(736\) −0.166381 + 0.388995i −0.00613289 + 0.0143385i
\(737\) −9.43720 4.80849i −0.347624 0.177123i
\(738\) 1.10505 0.154685i 0.0406773 0.00569403i
\(739\) −1.66137 + 5.11317i −0.0611145 + 0.188091i −0.976952 0.213457i \(-0.931528\pi\)
0.915838 + 0.401548i \(0.131528\pi\)
\(740\) −20.5180 28.3386i −0.754257 1.04175i
\(741\) 0.992464 + 3.05449i 0.0364591 + 0.112210i
\(742\) 18.6671 + 38.3266i 0.685290 + 1.40701i
\(743\) 6.86786 6.86786i 0.251957 0.251957i −0.569815 0.821773i \(-0.692985\pi\)
0.821773 + 0.569815i \(0.192985\pi\)
\(744\) 1.42679 + 1.15929i 0.0523086 + 0.0425016i
\(745\) −17.0624 30.8212i −0.625119 1.12920i
\(746\) −0.751756 + 41.7535i −0.0275237 + 1.52870i
\(747\) −0.895475 5.65381i −0.0327637 0.206862i
\(748\) −70.0294 + 8.52043i −2.56053 + 0.311538i
\(749\) 60.7032i 2.21805i
\(750\) 14.6470 + 5.95518i 0.534834 + 0.217452i
\(751\) 41.5143i 1.51488i −0.652906 0.757439i \(-0.726450\pi\)
0.652906 0.757439i \(-0.273550\pi\)
\(752\) −21.1304 4.92728i −0.770547 0.179679i
\(753\) −0.562048 3.54863i −0.0204822 0.129319i
\(754\) 3.42000 + 0.0615758i 0.124549 + 0.00224246i
\(755\) 4.32797 + 7.81796i 0.157511 + 0.284525i
\(756\) −1.74620 6.11507i −0.0635086 0.222403i
\(757\) 23.8819 23.8819i 0.868001 0.868001i −0.124250 0.992251i \(-0.539652\pi\)
0.992251 + 0.124250i \(0.0396524\pi\)
\(758\) −15.0329 + 7.32184i −0.546021 + 0.265941i
\(759\) 0.125948 + 0.387627i 0.00457161 + 0.0140700i
\(760\) −4.28746 + 12.3634i −0.155522 + 0.448468i
\(761\) 4.73054 14.5591i 0.171482 0.527767i −0.827974 0.560767i \(-0.810506\pi\)
0.999455 + 0.0330004i \(0.0105063\pi\)
\(762\) −2.85696 20.4097i −0.103497 0.739364i
\(763\) −45.8948 23.3846i −1.66150 0.846578i
\(764\) 14.0860 + 11.0301i 0.509613 + 0.399056i
\(765\) 8.90446 + 11.4101i 0.321941 + 0.412532i
\(766\) 26.0769 + 19.6729i 0.942198 + 0.710809i
\(767\) −11.4242 1.80942i −0.412505 0.0653343i
\(768\) 13.0660 + 9.23474i 0.471478 + 0.333230i
\(769\) 11.0364 + 15.1903i 0.397983 + 0.547777i 0.960236 0.279188i \(-0.0900654\pi\)
−0.562253 + 0.826965i \(0.690065\pi\)
\(770\) −48.4102 + 25.6721i −1.74458 + 0.925158i
\(771\) −6.12683 + 8.43286i −0.220653 + 0.303702i
\(772\) −9.56810 + 48.9365i −0.344364 + 1.76126i
\(773\) −11.9014 + 6.06406i −0.428063 + 0.218109i −0.654729