Properties

Label 605.2.s.b.16.7
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.7
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.42148 - 0.163100i) q^{2} +(1.67703 + 1.21843i) q^{3} +(0.0459846 + 0.0106933i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.18514 - 2.00550i) q^{6} +(2.67320 + 2.75065i) q^{7} +(2.63157 + 0.938944i) q^{8} +(0.400791 + 1.23351i) q^{9} +O(q^{10})\) \(q+(-1.42148 - 0.163100i) q^{2} +(1.67703 + 1.21843i) q^{3} +(0.0459846 + 0.0106933i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.18514 - 2.00550i) q^{6} +(2.67320 + 2.75065i) q^{7} +(2.63157 + 0.938944i) q^{8} +(0.400791 + 1.23351i) q^{9} +(0.936980 - 1.08133i) q^{10} +(2.07924 + 2.58394i) q^{11} +(0.0640884 + 0.0739620i) q^{12} +(0.816162 - 1.35345i) q^{13} +(-3.35127 - 4.34600i) q^{14} +(-1.95237 + 0.696603i) q^{15} +(-3.67233 - 1.80556i) q^{16} +(2.68996 - 2.19957i) q^{17} +(-0.368532 - 1.81878i) q^{18} +(-6.96949 - 0.398530i) q^{19} +(-0.0347827 + 0.0319233i) q^{20} +(1.13154 + 7.87002i) q^{21} +(-2.53417 - 4.01215i) q^{22} +(-0.200135 + 1.39197i) q^{23} +(3.26918 + 4.78102i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-1.38091 + 1.79079i) q^{26} +(1.09089 - 3.35743i) q^{27} +(0.0935125 + 0.155073i) q^{28} +(-1.34173 + 3.44620i) q^{29} +(2.88887 - 0.671777i) q^{30} +(8.55575 + 3.61569i) q^{31} +(0.224626 + 0.144358i) q^{32} +(0.338595 + 6.86675i) q^{33} +(-4.18248 + 2.68792i) q^{34} +(-3.77945 + 0.654060i) q^{35} +(0.00524000 + 0.0610082i) q^{36} +(-0.827834 + 9.63829i) q^{37} +(9.84200 + 1.70323i) q^{38} +(3.01781 - 1.27534i) q^{39} +(-2.26045 + 1.64231i) q^{40} +(5.51235 - 3.11297i) q^{41} +(-0.324862 - 11.3716i) q^{42} +(-12.3054 + 3.61319i) q^{43} +(0.0679825 + 0.141055i) q^{44} +(-1.24445 - 0.365403i) q^{45} +(0.511517 - 1.94601i) q^{46} +(0.181381 - 0.895150i) q^{47} +(-3.95864 - 7.50245i) q^{48} +(-0.220226 + 7.70892i) q^{49} +(0.363738 + 1.38380i) q^{50} +(7.19115 - 0.411205i) q^{51} +(0.0520038 - 0.0535106i) q^{52} +(9.77877 - 4.80790i) q^{53} +(-2.09828 + 4.59459i) q^{54} +(-3.30658 + 0.257870i) q^{55} +(4.45200 + 9.74853i) q^{56} +(-11.2024 - 9.16019i) q^{57} +(2.46932 - 4.67988i) q^{58} +(-8.54871 - 4.82768i) q^{59} +(-0.0972278 + 0.0111558i) q^{60} +(-6.29343 + 0.722104i) q^{61} +(-11.5721 - 6.53508i) q^{62} +(-2.32156 + 4.39984i) q^{63} +(6.04012 + 4.93898i) q^{64} +(0.656560 + 1.43767i) q^{65} +(0.638659 - 9.81618i) q^{66} +(-3.32566 + 7.28219i) q^{67} +(0.147217 - 0.0723819i) q^{68} +(-2.03164 + 2.09051i) q^{69} +(5.47910 - 0.313306i) q^{70} +(0.398065 + 1.51439i) q^{71} +(-0.103483 + 3.62239i) q^{72} +(1.79925 + 3.40996i) q^{73} +(2.74875 - 13.5656i) q^{74} +(0.526974 - 2.00482i) q^{75} +(-0.316228 - 0.0928529i) q^{76} +(-1.54930 + 12.6267i) q^{77} +(-4.49777 + 1.32067i) q^{78} +(-0.242952 - 8.50442i) q^{79} +(3.56326 - 2.01227i) q^{80} +(9.06810 - 6.58836i) q^{81} +(-8.34343 + 3.52596i) q^{82} +(0.580218 + 0.100411i) q^{83} +(-0.0321229 + 0.374000i) q^{84} +(0.297353 + 3.46202i) q^{85} +(18.0812 - 3.12908i) q^{86} +(-6.44907 + 4.14457i) q^{87} +(3.04551 + 8.75212i) q^{88} +(15.7000 + 10.0898i) q^{89} +(1.70937 + 0.722384i) q^{90} +(5.90464 - 1.37307i) q^{91} +(-0.0240878 + 0.0618690i) q^{92} +(9.94275 + 16.4882i) q^{93} +(-0.403828 + 1.24286i) q^{94} +(4.26286 - 5.52817i) q^{95} +(0.200813 + 0.515784i) q^{96} +(-1.41346 - 2.06712i) q^{97} +(1.57037 - 10.9222i) q^{98} +(-2.35397 + 3.60038i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.42148 0.163100i −1.00514 0.115329i −0.404239 0.914653i \(-0.632464\pi\)
−0.600900 + 0.799324i \(0.705191\pi\)
\(3\) 1.67703 + 1.21843i 0.968231 + 0.703461i 0.955048 0.296452i \(-0.0958035\pi\)
0.0131833 + 0.999913i \(0.495803\pi\)
\(4\) 0.0459846 + 0.0106933i 0.0229923 + 0.00534663i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) −2.18514 2.00550i −0.892078 0.818741i
\(7\) 2.67320 + 2.75065i 1.01037 + 1.03965i 0.999211 + 0.0397114i \(0.0126439\pi\)
0.0111617 + 0.999938i \(0.496447\pi\)
\(8\) 2.63157 + 0.938944i 0.930402 + 0.331967i
\(9\) 0.400791 + 1.23351i 0.133597 + 0.411169i
\(10\) 0.936980 1.08133i 0.296299 0.341947i
\(11\) 2.07924 + 2.58394i 0.626916 + 0.779087i
\(12\) 0.0640884 + 0.0739620i 0.0185007 + 0.0213510i
\(13\) 0.816162 1.35345i 0.226363 0.375380i −0.722346 0.691532i \(-0.756936\pi\)
0.948709 + 0.316151i \(0.102391\pi\)
\(14\) −3.35127 4.34600i −0.895664 1.16152i
\(15\) −1.95237 + 0.696603i −0.504099 + 0.179862i
\(16\) −3.67233 1.80556i −0.918082 0.451391i
\(17\) 2.68996 2.19957i 0.652411 0.533474i −0.247864 0.968795i \(-0.579729\pi\)
0.900275 + 0.435321i \(0.143365\pi\)
\(18\) −0.368532 1.81878i −0.0868638 0.428690i
\(19\) −6.96949 0.398530i −1.59891 0.0914290i −0.765260 0.643721i \(-0.777390\pi\)
−0.833651 + 0.552292i \(0.813753\pi\)
\(20\) −0.0347827 + 0.0319233i −0.00777765 + 0.00713826i
\(21\) 1.13154 + 7.87002i 0.246922 + 1.71738i
\(22\) −2.53417 4.01215i −0.540286 0.855393i
\(23\) −0.200135 + 1.39197i −0.0417309 + 0.290245i 0.958260 + 0.285899i \(0.0922923\pi\)
−0.999991 + 0.00434559i \(0.998617\pi\)
\(24\) 3.26918 + 4.78102i 0.667319 + 0.975922i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −1.38091 + 1.79079i −0.270818 + 0.351203i
\(27\) 1.09089 3.35743i 0.209943 0.646137i
\(28\) 0.0935125 + 0.155073i 0.0176722 + 0.0293060i
\(29\) −1.34173 + 3.44620i −0.249153 + 0.639944i −0.999784 0.0207775i \(-0.993386\pi\)
0.750631 + 0.660721i \(0.229749\pi\)
\(30\) 2.88887 0.671777i 0.527433 0.122649i
\(31\) 8.55575 + 3.61569i 1.53666 + 0.649397i 0.983043 0.183375i \(-0.0587022\pi\)
0.553616 + 0.832772i \(0.313248\pi\)
\(32\) 0.224626 + 0.144358i 0.0397087 + 0.0255192i
\(33\) 0.338595 + 6.86675i 0.0589418 + 1.19535i
\(34\) −4.18248 + 2.68792i −0.717289 + 0.460974i
\(35\) −3.77945 + 0.654060i −0.638844 + 0.110556i
\(36\) 0.00524000 + 0.0610082i 0.000873333 + 0.0101680i
\(37\) −0.827834 + 9.63829i −0.136095 + 1.58453i 0.536102 + 0.844153i \(0.319896\pi\)
−0.672197 + 0.740372i \(0.734649\pi\)
\(38\) 9.84200 + 1.70323i 1.59658 + 0.276300i
\(39\) 3.01781 1.27534i 0.483237 0.204218i
\(40\) −2.26045 + 1.64231i −0.357408 + 0.259672i
\(41\) 5.51235 3.11297i 0.860884 0.486164i 0.00299335 0.999996i \(-0.499047\pi\)
0.857891 + 0.513832i \(0.171774\pi\)
\(42\) −0.324862 11.3716i −0.0501272 1.75468i
\(43\) −12.3054 + 3.61319i −1.87656 + 0.551007i −0.879362 + 0.476154i \(0.842031\pi\)
−0.997195 + 0.0748530i \(0.976151\pi\)
\(44\) 0.0679825 + 0.141055i 0.0102488 + 0.0212649i
\(45\) −1.24445 0.365403i −0.185512 0.0544711i
\(46\) 0.511517 1.94601i 0.0754191 0.286924i
\(47\) 0.181381 0.895150i 0.0264571 0.130571i −0.964677 0.263435i \(-0.915145\pi\)
0.991134 + 0.132864i \(0.0424173\pi\)
\(48\) −3.95864 7.50245i −0.571380 1.08289i
\(49\) −0.220226 + 7.70892i −0.0314609 + 1.10127i
\(50\) 0.363738 + 1.38380i 0.0514403 + 0.195699i
\(51\) 7.19115 0.411205i 1.00696 0.0575802i
\(52\) 0.0520038 0.0535106i 0.00721163 0.00742059i
\(53\) 9.77877 4.80790i 1.34322 0.660416i 0.378968 0.925410i \(-0.376279\pi\)
0.964250 + 0.264994i \(0.0853701\pi\)
\(54\) −2.09828 + 4.59459i −0.285540 + 0.625245i
\(55\) −3.30658 + 0.257870i −0.445860 + 0.0347712i
\(56\) 4.45200 + 9.74853i 0.594924 + 1.30270i
\(57\) −11.2024 9.16019i −1.48380 1.21330i
\(58\) 2.46932 4.67988i 0.324237 0.614498i
\(59\) −8.54871 4.82768i −1.11295 0.628510i −0.178260 0.983983i \(-0.557047\pi\)
−0.934686 + 0.355473i \(0.884320\pi\)
\(60\) −0.0972278 + 0.0111558i −0.0125521 + 0.00144021i
\(61\) −6.29343 + 0.722104i −0.805792 + 0.0924560i −0.507093 0.861891i \(-0.669280\pi\)
−0.298699 + 0.954347i \(0.596553\pi\)
\(62\) −11.5721 6.53508i −1.46966 0.829956i
\(63\) −2.32156 + 4.39984i −0.292489 + 0.554328i
\(64\) 6.04012 + 4.93898i 0.755015 + 0.617373i
\(65\) 0.656560 + 1.43767i 0.0814363 + 0.178321i
\(66\) 0.638659 9.81618i 0.0786135 1.20829i
\(67\) −3.32566 + 7.28219i −0.406295 + 0.889661i 0.590298 + 0.807185i \(0.299010\pi\)
−0.996593 + 0.0824760i \(0.973717\pi\)
\(68\) 0.147217 0.0723819i 0.0178527 0.00877760i
\(69\) −2.03164 + 2.09051i −0.244581 + 0.251668i
\(70\) 5.47910 0.313306i 0.654878 0.0374473i
\(71\) 0.398065 + 1.51439i 0.0472416 + 0.179726i 0.986584 0.163256i \(-0.0521996\pi\)
−0.939342 + 0.342981i \(0.888563\pi\)
\(72\) −0.103483 + 3.62239i −0.0121956 + 0.426903i
\(73\) 1.79925 + 3.40996i 0.210586 + 0.399106i 0.966920 0.255081i \(-0.0821021\pi\)
−0.756333 + 0.654186i \(0.773011\pi\)
\(74\) 2.74875 13.5656i 0.319536 1.57697i
\(75\) 0.526974 2.00482i 0.0608497 0.231496i
\(76\) −0.316228 0.0928529i −0.0362738 0.0106510i
\(77\) −1.54930 + 12.6267i −0.176559 + 1.43894i
\(78\) −4.49777 + 1.32067i −0.509273 + 0.149536i
\(79\) −0.242952 8.50442i −0.0273342 0.956823i −0.891339 0.453338i \(-0.850233\pi\)
0.864004 0.503484i \(-0.167949\pi\)
\(80\) 3.56326 2.01227i 0.398385 0.224978i
\(81\) 9.06810 6.58836i 1.00757 0.732040i
\(82\) −8.34343 + 3.52596i −0.921377 + 0.389377i
\(83\) 0.580218 + 0.100411i 0.0636872 + 0.0110215i 0.202277 0.979328i \(-0.435166\pi\)
−0.138590 + 0.990350i \(0.544257\pi\)
\(84\) −0.0321229 + 0.374000i −0.00350489 + 0.0408067i
\(85\) 0.297353 + 3.46202i 0.0322525 + 0.375509i
\(86\) 18.0812 3.12908i 1.94975 0.337417i
\(87\) −6.44907 + 4.14457i −0.691413 + 0.444344i
\(88\) 3.04551 + 8.75212i 0.324653 + 0.932980i
\(89\) 15.7000 + 10.0898i 1.66419 + 1.06951i 0.911648 + 0.410971i \(0.134810\pi\)
0.752545 + 0.658541i \(0.228826\pi\)
\(90\) 1.70937 + 0.722384i 0.180183 + 0.0761459i
\(91\) 5.90464 1.37307i 0.618975 0.143936i
\(92\) −0.0240878 + 0.0618690i −0.00251133 + 0.00645029i
\(93\) 9.94275 + 16.4882i 1.03102 + 1.70975i
\(94\) −0.403828 + 1.24286i −0.0416517 + 0.128191i
\(95\) 4.26286 5.52817i 0.437360 0.567179i
\(96\) 0.200813 + 0.515784i 0.0204954 + 0.0526420i
\(97\) −1.41346 2.06712i −0.143515 0.209884i 0.747017 0.664805i \(-0.231486\pi\)
−0.890532 + 0.454921i \(0.849667\pi\)
\(98\) 1.57037 10.9222i 0.158631 1.10331i
\(99\) −2.35397 + 3.60038i −0.236583 + 0.361852i
\(100\) −0.00671891 0.0467310i −0.000671891 0.00467310i
\(101\) −4.56783 + 4.19232i −0.454516 + 0.417151i −0.870460 0.492239i \(-0.836179\pi\)
0.415944 + 0.909390i \(0.363451\pi\)
\(102\) −10.2892 0.588355i −1.01878 0.0582559i
\(103\) −3.74146 18.4648i −0.368657 1.81939i −0.549038 0.835797i \(-0.685006\pi\)
0.180381 0.983597i \(-0.442267\pi\)
\(104\) 3.41861 2.79538i 0.335222 0.274110i
\(105\) −7.13517 3.50813i −0.696321 0.342358i
\(106\) −14.6845 + 5.23942i −1.42629 + 0.508898i
\(107\) −8.65571 11.2249i −0.836779 1.08515i −0.995208 0.0977840i \(-0.968825\pi\)
0.158429 0.987370i \(-0.449357\pi\)
\(108\) 0.0860662 0.142725i 0.00828172 0.0137337i
\(109\) 3.21026 + 3.70484i 0.307487 + 0.354859i 0.888370 0.459128i \(-0.151838\pi\)
−0.580883 + 0.813987i \(0.697293\pi\)
\(110\) 4.74231 + 0.172745i 0.452161 + 0.0164706i
\(111\) −13.1319 + 15.1550i −1.24642 + 1.43845i
\(112\) −4.85038 14.9279i −0.458317 1.41056i
\(113\) 6.34678 + 2.26453i 0.597055 + 0.213029i 0.617250 0.786767i \(-0.288247\pi\)
−0.0201947 + 0.999796i \(0.506429\pi\)
\(114\) 14.4300 + 14.8482i 1.35150 + 1.39066i
\(115\) −1.03606 0.950891i −0.0966135 0.0886711i
\(116\) −0.0985501 + 0.144125i −0.00915015 + 0.0133817i
\(117\) 1.99661 + 0.464291i 0.184586 + 0.0429237i
\(118\) 11.3644 + 8.25675i 1.04618 + 0.760095i
\(119\) 13.2410 + 1.51927i 1.21380 + 0.139271i
\(120\) −5.79187 −0.528723
\(121\) −2.35349 + 10.7453i −0.213953 + 0.976844i
\(122\) 9.06377 0.820596
\(123\) 13.0373 + 1.49589i 1.17553 + 0.134880i
\(124\) 0.354770 + 0.257755i 0.0318593 + 0.0231471i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 4.01767 5.87565i 0.357922 0.523445i
\(127\) −9.86799 9.05676i −0.875643 0.803657i 0.106004 0.994366i \(-0.466194\pi\)
−0.981647 + 0.190708i \(0.938922\pi\)
\(128\) −8.15255 8.38878i −0.720591 0.741470i
\(129\) −25.0389 8.93386i −2.20455 0.786583i
\(130\) −0.698805 2.15070i −0.0612893 0.188629i
\(131\) 11.4241 13.1842i 0.998131 1.15190i 0.00974332 0.999953i \(-0.496899\pi\)
0.988388 0.151952i \(-0.0485560\pi\)
\(132\) −0.0578578 + 0.319386i −0.00503588 + 0.0277989i
\(133\) −17.5346 20.2360i −1.52044 1.75468i
\(134\) 5.91509 9.80908i 0.510986 0.847376i
\(135\) 2.15571 + 2.79558i 0.185534 + 0.240605i
\(136\) 9.14410 3.26261i 0.784100 0.279766i
\(137\) 3.28539 + 1.61532i 0.280690 + 0.138006i 0.576137 0.817353i \(-0.304559\pi\)
−0.295447 + 0.955359i \(0.595469\pi\)
\(138\) 3.22891 2.64027i 0.274863 0.224754i
\(139\) 1.01352 + 5.00190i 0.0859653 + 0.424255i 0.999834 + 0.0182446i \(0.00580776\pi\)
−0.913868 + 0.406011i \(0.866920\pi\)
\(140\) −0.180791 0.0103380i −0.0152796 0.000873720i
\(141\) 1.39486 1.28019i 0.117468 0.107811i
\(142\) −0.318844 2.21761i −0.0267568 0.186098i
\(143\) 5.19424 0.705245i 0.434364 0.0589756i
\(144\) 0.755339 5.25350i 0.0629449 0.437792i
\(145\) −2.08741 3.05275i −0.173350 0.253517i
\(146\) −2.00144 5.14065i −0.165640 0.425443i
\(147\) −9.76211 + 12.6597i −0.805165 + 1.04416i
\(148\) −0.141132 + 0.434361i −0.0116010 + 0.0357043i
\(149\) −8.10209 13.4358i −0.663749 1.10070i −0.987959 0.154719i \(-0.950553\pi\)
0.324210 0.945985i \(-0.394902\pi\)
\(150\) −1.07607 + 2.76386i −0.0878606 + 0.225668i
\(151\) 1.64131 0.381670i 0.133568 0.0310599i −0.159180 0.987250i \(-0.550885\pi\)
0.292748 + 0.956190i \(0.405430\pi\)
\(152\) −17.9665 7.59272i −1.45728 0.615851i
\(153\) 3.79130 + 2.43652i 0.306508 + 0.196981i
\(154\) 4.26170 17.6959i 0.343418 1.42597i
\(155\) −7.81389 + 5.02168i −0.627627 + 0.403351i
\(156\) 0.152411 0.0263757i 0.0122026 0.00211175i
\(157\) −1.78707 20.8064i −0.142624 1.66054i −0.622068 0.782963i \(-0.713707\pi\)
0.479445 0.877572i \(-0.340838\pi\)
\(158\) −1.04172 + 12.1285i −0.0828747 + 0.964892i
\(159\) 22.2573 + 3.85178i 1.76512 + 0.305466i
\(160\) −0.245953 + 0.103940i −0.0194443 + 0.00821721i
\(161\) −4.36382 + 3.17050i −0.343917 + 0.249870i
\(162\) −13.9647 + 7.88623i −1.09717 + 0.619600i
\(163\) −0.147177 5.15185i −0.0115278 0.403524i −0.984782 0.173794i \(-0.944397\pi\)
0.973254 0.229730i \(-0.0737844\pi\)
\(164\) 0.286771 0.0842036i 0.0223931 0.00657520i
\(165\) −5.85942 3.59639i −0.456156 0.279978i
\(166\) −0.808392 0.237365i −0.0627434 0.0184231i
\(167\) 5.08316 19.3384i 0.393347 1.49645i −0.416135 0.909303i \(-0.636616\pi\)
0.809482 0.587144i \(-0.199748\pi\)
\(168\) −4.41178 + 21.7730i −0.340376 + 1.67982i
\(169\) 4.90096 + 9.28835i 0.376997 + 0.714489i
\(170\) 0.141973 4.96969i 0.0108888 0.381158i
\(171\) −2.30172 8.75665i −0.176017 0.669638i
\(172\) −0.604496 + 0.0345664i −0.0460924 + 0.00263566i
\(173\) −0.380696 + 0.391727i −0.0289438 + 0.0297824i −0.731449 0.681896i \(-0.761156\pi\)
0.702505 + 0.711679i \(0.252065\pi\)
\(174\) 9.84321 4.83958i 0.746212 0.366888i
\(175\) 1.59338 3.48901i 0.120448 0.263745i
\(176\) −2.97020 13.2433i −0.223887 0.998250i
\(177\) −8.45421 18.5121i −0.635457 1.39146i
\(178\) −20.6716 16.9031i −1.54940 1.26694i
\(179\) 0.194468 0.368558i 0.0145352 0.0275473i −0.877058 0.480384i \(-0.840497\pi\)
0.891593 + 0.452837i \(0.149588\pi\)
\(180\) −0.0533182 0.0301102i −0.00397410 0.00224428i
\(181\) 15.5066 1.77921i 1.15259 0.132248i 0.483444 0.875375i \(-0.339386\pi\)
0.669150 + 0.743127i \(0.266658\pi\)
\(182\) −8.61729 + 0.988741i −0.638756 + 0.0732904i
\(183\) −11.4341 6.45712i −0.845232 0.477324i
\(184\) −1.83365 + 3.47515i −0.135178 + 0.256191i
\(185\) −7.48887 6.12362i −0.550593 0.450218i
\(186\) −11.4442 25.0593i −0.839130 1.83744i
\(187\) 11.2766 + 2.37725i 0.824629 + 0.173842i
\(188\) 0.0179128 0.0392236i 0.00130643 0.00286067i
\(189\) 12.1513 5.97438i 0.883876 0.434572i
\(190\) −6.96122 + 7.16292i −0.505020 + 0.519653i
\(191\) 1.23556 0.0706516i 0.0894017 0.00511217i −0.0123307 0.999924i \(-0.503925\pi\)
0.101732 + 0.994812i \(0.467561\pi\)
\(192\) 4.11163 + 15.6423i 0.296731 + 1.12888i
\(193\) 0.239069 8.36850i 0.0172085 0.602378i −0.944533 0.328418i \(-0.893485\pi\)
0.961741 0.273960i \(-0.0883335\pi\)
\(194\) 1.67206 + 3.16890i 0.120047 + 0.227514i
\(195\) −0.650628 + 3.21098i −0.0465924 + 0.229943i
\(196\) −0.0925606 + 0.352137i −0.00661147 + 0.0251526i
\(197\) 8.35685 + 2.45379i 0.595401 + 0.174826i 0.565529 0.824728i \(-0.308672\pi\)
0.0298719 + 0.999554i \(0.490490\pi\)
\(198\) 3.93334 4.73395i 0.279531 0.336427i
\(199\) 6.05219 1.77708i 0.429028 0.125974i −0.0600872 0.998193i \(-0.519138\pi\)
0.489115 + 0.872219i \(0.337320\pi\)
\(200\) −0.0797875 2.79293i −0.00564183 0.197490i
\(201\) −14.4501 + 8.16033i −1.01923 + 0.575585i
\(202\) 7.17686 5.21429i 0.504962 0.366876i
\(203\) −13.0660 + 5.52174i −0.917054 + 0.387550i
\(204\) 0.335080 + 0.0579878i 0.0234603 + 0.00405996i
\(205\) −0.541742 + 6.30738i −0.0378369 + 0.440527i
\(206\) 2.30681 + 26.8576i 0.160723 + 1.87126i
\(207\) −1.79721 + 0.311020i −0.124915 + 0.0216174i
\(208\) −5.44096 + 3.49669i −0.377263 + 0.242452i
\(209\) −13.4615 18.8374i −0.931151 1.30301i
\(210\) 9.57033 + 6.15048i 0.660416 + 0.424423i
\(211\) −7.96944 3.36791i −0.548639 0.231857i 0.0972876 0.995256i \(-0.468983\pi\)
−0.645927 + 0.763400i \(0.723529\pi\)
\(212\) 0.501085 0.116522i 0.0344147 0.00800279i
\(213\) −1.17762 + 3.02469i −0.0806892 + 0.207249i
\(214\) 10.4732 + 17.3678i 0.715930 + 1.18724i
\(215\) 3.96311 12.1972i 0.270282 0.831843i
\(216\) 6.02320 7.81103i 0.409827 0.531473i
\(217\) 12.9257 + 33.1994i 0.877453 + 2.25372i
\(218\) −3.95907 5.78996i −0.268142 0.392145i
\(219\) −1.13741 + 7.91085i −0.0768589 + 0.534566i
\(220\) −0.154810 0.0235001i −0.0104373 0.00158438i
\(221\) −0.781570 5.43594i −0.0525741 0.365661i
\(222\) 21.1385 19.4008i 1.41872 1.30209i
\(223\) 1.38252 + 0.0790556i 0.0925807 + 0.00529396i 0.103318 0.994648i \(-0.467054\pi\)
−0.0107371 + 0.999942i \(0.503418\pi\)
\(224\) 0.203390 + 1.00377i 0.0135895 + 0.0670670i
\(225\) 1.00405 0.821009i 0.0669368 0.0547339i
\(226\) −8.65249 4.25414i −0.575555 0.282981i
\(227\) 7.30489 2.60638i 0.484843 0.172991i −0.0823058 0.996607i \(-0.526228\pi\)
0.567148 + 0.823616i \(0.308047\pi\)
\(228\) −0.417188 0.541018i −0.0276289 0.0358298i
\(229\) −3.06298 + 5.07938i −0.202407 + 0.335655i −0.940946 0.338556i \(-0.890062\pi\)
0.738539 + 0.674211i \(0.235516\pi\)
\(230\) 1.31766 + 1.52066i 0.0868837 + 0.100269i
\(231\) −17.9829 + 19.2875i −1.18319 + 1.26903i
\(232\) −6.76665 + 7.80913i −0.444252 + 0.512695i
\(233\) 7.24894 + 22.3100i 0.474894 + 1.46157i 0.846100 + 0.533023i \(0.178944\pi\)
−0.371206 + 0.928550i \(0.621056\pi\)
\(234\) −2.76241 0.985627i −0.180585 0.0644324i
\(235\) 0.636542 + 0.654986i 0.0415234 + 0.0427266i
\(236\) −0.341486 0.313413i −0.0222288 0.0204014i
\(237\) 9.95461 14.5582i 0.646622 0.945654i
\(238\) −18.5741 4.31922i −1.20398 0.279974i
\(239\) 11.5542 + 8.39463i 0.747380 + 0.543004i 0.895014 0.446039i \(-0.147166\pi\)
−0.147633 + 0.989042i \(0.547166\pi\)
\(240\) 8.42749 + 0.966964i 0.543992 + 0.0624173i
\(241\) 0.513015 0.0330462 0.0165231 0.999863i \(-0.494740\pi\)
0.0165231 + 0.999863i \(0.494740\pi\)
\(242\) 5.09799 14.8904i 0.327711 0.957189i
\(243\) 12.6443 0.811130
\(244\) −0.297123 0.0340917i −0.0190213 0.00218250i
\(245\) −6.23919 4.53304i −0.398607 0.289605i
\(246\) −18.2883 4.25276i −1.16602 0.271146i
\(247\) −6.22763 + 9.10762i −0.396255 + 0.579504i
\(248\) 19.1202 + 17.5483i 1.21413 + 1.11432i
\(249\) 0.850697 + 0.875347i 0.0539107 + 0.0554728i
\(250\) −1.34760 0.480822i −0.0852296 0.0304099i
\(251\) 0.150805 + 0.464130i 0.00951873 + 0.0292956i 0.955703 0.294333i \(-0.0950973\pi\)
−0.946184 + 0.323628i \(0.895097\pi\)
\(252\) −0.153805 + 0.177500i −0.00968879 + 0.0111815i
\(253\) −4.01289 + 2.37710i −0.252288 + 0.149447i
\(254\) 12.5500 + 14.4835i 0.787458 + 0.908775i
\(255\) −3.71956 + 6.16820i −0.232928 + 0.386267i
\(256\) 0.691529 + 0.896791i 0.0432206 + 0.0560494i
\(257\) 24.5283 8.75167i 1.53003 0.545914i 0.568997 0.822340i \(-0.307332\pi\)
0.961035 + 0.276425i \(0.0891498\pi\)
\(258\) 34.1352 + 16.7832i 2.12517 + 1.04487i
\(259\) −28.7246 + 23.4880i −1.78486 + 1.45947i
\(260\) 0.0148183 + 0.0731314i 0.000918994 + 0.00453541i
\(261\) −4.78867 0.273826i −0.296411 0.0169494i
\(262\) −18.3895 + 16.8778i −1.13611 + 1.04271i
\(263\) −0.326841 2.27323i −0.0201539 0.140173i 0.977260 0.212044i \(-0.0680121\pi\)
−0.997414 + 0.0718709i \(0.977103\pi\)
\(264\) −5.55645 + 18.3883i −0.341976 + 1.13172i
\(265\) −1.55078 + 10.7859i −0.0952634 + 0.662572i
\(266\) 21.6246 + 31.6250i 1.32589 + 1.93905i
\(267\) 14.0356 + 36.0501i 0.858964 + 2.20623i
\(268\) −0.230800 + 0.299307i −0.0140983 + 0.0182831i
\(269\) 9.31005 28.6534i 0.567644 1.74703i −0.0923185 0.995730i \(-0.529428\pi\)
0.659962 0.751299i \(-0.270572\pi\)
\(270\) −2.60835 4.32546i −0.158739 0.263239i
\(271\) −3.04384 + 7.81804i −0.184900 + 0.474912i −0.993552 0.113375i \(-0.963834\pi\)
0.808652 + 0.588287i \(0.200197\pi\)
\(272\) −13.8499 + 3.22065i −0.839772 + 0.195281i
\(273\) 11.5752 + 4.89173i 0.700564 + 0.296061i
\(274\) −4.40667 2.83199i −0.266217 0.171087i
\(275\) 1.65351 2.87505i 0.0997107 0.173372i
\(276\) −0.115779 + 0.0744066i −0.00696907 + 0.00447875i
\(277\) 24.3675 4.21697i 1.46410 0.253373i 0.617910 0.786249i \(-0.287980\pi\)
0.846193 + 0.532876i \(0.178889\pi\)
\(278\) −0.624886 7.27541i −0.0374781 0.436350i
\(279\) −1.03092 + 12.0027i −0.0617193 + 0.718584i
\(280\) −10.5600 1.82749i −0.631083 0.109213i
\(281\) −22.9107 + 9.68215i −1.36674 + 0.577589i −0.944385 0.328842i \(-0.893342\pi\)
−0.422354 + 0.906431i \(0.638796\pi\)
\(282\) −2.19156 + 1.59226i −0.130506 + 0.0948179i
\(283\) −22.4074 + 12.6541i −1.33198 + 0.752206i −0.982769 0.184836i \(-0.940825\pi\)
−0.349215 + 0.937043i \(0.613552\pi\)
\(284\) 0.00211102 + 0.0738955i 0.000125266 + 0.00438489i
\(285\) 13.8846 4.07689i 0.822454 0.241494i
\(286\) −7.49855 + 0.155313i −0.443398 + 0.00918388i
\(287\) 23.2983 + 6.84099i 1.37525 + 0.403811i
\(288\) −0.0880392 + 0.334936i −0.00518776 + 0.0197363i
\(289\) −0.978258 + 4.82789i −0.0575446 + 0.283994i
\(290\) 2.46932 + 4.67988i 0.145003 + 0.274812i
\(291\) 0.148232 5.18881i 0.00868953 0.304173i
\(292\) 0.0462743 + 0.176046i 0.00270800 + 0.0103023i
\(293\) 10.2688 0.587190i 0.599908 0.0343040i 0.245503 0.969396i \(-0.421047\pi\)
0.354405 + 0.935092i \(0.384683\pi\)
\(294\) 15.9415 16.4034i 0.929725 0.956664i
\(295\) 8.81037 4.33177i 0.512960 0.252205i
\(296\) −11.2283 + 24.5866i −0.652633 + 1.42907i
\(297\) 10.9436 4.16210i 0.635013 0.241510i
\(298\) 9.32559 + 20.4202i 0.540217 + 1.18291i
\(299\) 1.72062 + 1.40694i 0.0995060 + 0.0813656i
\(300\) 0.0456707 0.0865557i 0.00263680 0.00499729i
\(301\) −42.8334 24.1891i −2.46888 1.39424i
\(302\) −2.39534 + 0.274840i −0.137836 + 0.0158153i
\(303\) −12.7684 + 1.46504i −0.733526 + 0.0841643i
\(304\) 24.8747 + 14.0474i 1.42666 + 0.805673i
\(305\) 2.95621 5.60264i 0.169272 0.320806i
\(306\) −4.99186 4.08183i −0.285366 0.233343i
\(307\) −8.27565 18.1212i −0.472316 1.03423i −0.984505 0.175356i \(-0.943892\pi\)
0.512189 0.858873i \(-0.328835\pi\)
\(308\) −0.206264 + 0.564065i −0.0117530 + 0.0321406i
\(309\) 16.2236 35.5247i 0.922928 2.02093i
\(310\) 11.9263 5.86378i 0.677370 0.333041i
\(311\) −11.0388 + 11.3586i −0.625952 + 0.644089i −0.953730 0.300666i \(-0.902791\pi\)
0.327778 + 0.944755i \(0.393700\pi\)
\(312\) 9.13907 0.522591i 0.517398 0.0295859i
\(313\) −4.24249 16.1401i −0.239800 0.912293i −0.972721 0.231979i \(-0.925480\pi\)
0.732921 0.680314i \(-0.238156\pi\)
\(314\) −0.853244 + 29.8675i −0.0481514 + 1.68552i
\(315\) −2.32156 4.39984i −0.130805 0.247903i
\(316\) 0.0797681 0.393671i 0.00448730 0.0221457i
\(317\) 0.457899 1.74203i 0.0257182 0.0978421i −0.953050 0.302814i \(-0.902074\pi\)
0.978768 + 0.204972i \(0.0657103\pi\)
\(318\) −31.0102 9.10541i −1.73896 0.510606i
\(319\) −11.6946 + 3.69855i −0.654770 + 0.207079i
\(320\) −7.48629 + 2.19817i −0.418497 + 0.122882i
\(321\) −0.839058 29.3709i −0.0468317 1.63932i
\(322\) 6.72019 3.79507i 0.374502 0.211491i
\(323\) −19.6243 + 14.2579i −1.09192 + 0.793328i
\(324\) 0.487444 0.205996i 0.0270802 0.0114442i
\(325\) −1.55734 0.269509i −0.0863859 0.0149497i
\(326\) −0.631057 + 7.34727i −0.0349510 + 0.406928i
\(327\) 0.869602 + 10.1246i 0.0480891 + 0.559891i
\(328\) 17.4291 3.01622i 0.962359 0.166543i
\(329\) 2.94711 1.89399i 0.162480 0.104419i
\(330\) 7.74249 + 6.06787i 0.426210 + 0.334025i
\(331\) 2.15506 + 1.38498i 0.118453 + 0.0761252i 0.598526 0.801104i \(-0.295753\pi\)
−0.480073 + 0.877229i \(0.659390\pi\)
\(332\) 0.0256074 + 0.0108218i 0.00140539 + 0.000593922i
\(333\) −12.2207 + 2.84180i −0.669690 + 0.155730i
\(334\) −10.3797 + 26.6601i −0.567952 + 1.45877i
\(335\) −4.13409 6.85563i −0.225870 0.374563i
\(336\) 10.0544 30.9444i 0.548514 1.68815i
\(337\) −8.87283 + 11.5065i −0.483334 + 0.626798i −0.968915 0.247393i \(-0.920426\pi\)
0.485581 + 0.874191i \(0.338608\pi\)
\(338\) −5.45170 14.0026i −0.296533 0.761639i
\(339\) 7.88455 + 11.5308i 0.428230 + 0.626266i
\(340\) −0.0233466 + 0.162379i −0.00126615 + 0.00880626i
\(341\) 8.44677 + 29.6255i 0.457418 + 1.60431i
\(342\) 1.84364 + 12.8228i 0.0996929 + 0.693379i
\(343\) −2.01220 + 1.84678i −0.108649 + 0.0997169i
\(344\) −35.7752 2.04570i −1.92887 0.110297i
\(345\) −0.578912 2.85704i −0.0311676 0.153818i
\(346\) 0.605043 0.494741i 0.0325273 0.0265974i
\(347\) 18.6472 + 9.16822i 1.00103 + 0.492176i 0.866737 0.498765i \(-0.166213\pi\)
0.134298 + 0.990941i \(0.457122\pi\)
\(348\) −0.340877 + 0.121625i −0.0182729 + 0.00651977i
\(349\) −1.33150 1.72673i −0.0712738 0.0924295i 0.754916 0.655822i \(-0.227678\pi\)
−0.826189 + 0.563392i \(0.809496\pi\)
\(350\) −2.83402 + 4.69969i −0.151485 + 0.251209i
\(351\) −3.65377 4.21668i −0.195024 0.225070i
\(352\) 0.0940391 + 0.880577i 0.00501230 + 0.0469349i
\(353\) 13.7566 15.8760i 0.732190 0.844993i −0.260526 0.965467i \(-0.583896\pi\)
0.992716 + 0.120474i \(0.0384415\pi\)
\(354\) 8.99818 + 27.6935i 0.478248 + 1.47190i
\(355\) −1.47478 0.526199i −0.0782729 0.0279277i
\(356\) 0.614065 + 0.631858i 0.0325454 + 0.0334884i
\(357\) 20.3544 + 18.6811i 1.07727 + 0.988711i
\(358\) −0.336545 + 0.492181i −0.0177869 + 0.0260126i
\(359\) 7.28265 + 1.69351i 0.384364 + 0.0893800i 0.414226 0.910174i \(-0.364052\pi\)
−0.0298623 + 0.999554i \(0.509507\pi\)
\(360\) −2.93177 2.13005i −0.154518 0.112264i
\(361\) 29.5388 + 3.38927i 1.55468 + 0.178382i
\(362\) −22.3325 −1.17377
\(363\) −17.0392 + 15.1526i −0.894328 + 0.795303i
\(364\) 0.286205 0.0150012
\(365\) −3.83040 0.439498i −0.200492 0.0230044i
\(366\) 15.2002 + 11.0436i 0.794526 + 0.577257i
\(367\) −20.5788 4.78539i −1.07420 0.249795i −0.348153 0.937438i \(-0.613191\pi\)
−0.726050 + 0.687642i \(0.758646\pi\)
\(368\) 3.24824 4.75040i 0.169326 0.247632i
\(369\) 6.04917 + 5.55188i 0.314907 + 0.289019i
\(370\) 9.64654 + 9.92605i 0.501500 + 0.516031i
\(371\) 39.3654 + 14.0456i 2.04375 + 0.729209i
\(372\) 0.280901 + 0.864524i 0.0145640 + 0.0448235i
\(373\) 7.23093 8.34494i 0.374403 0.432084i −0.537010 0.843576i \(-0.680446\pi\)
0.911414 + 0.411491i \(0.134992\pi\)
\(374\) −15.6418 5.21844i −0.808818 0.269839i
\(375\) 1.35747 + 1.56661i 0.0700996 + 0.0808992i
\(376\) 1.31781 2.18535i 0.0679610 0.112701i
\(377\) 3.56921 + 4.62863i 0.183823 + 0.238386i
\(378\) −18.2472 + 6.51060i −0.938537 + 0.334869i
\(379\) 21.5690 + 10.6048i 1.10793 + 0.544731i 0.901085 0.433643i \(-0.142772\pi\)
0.206842 + 0.978374i \(0.433681\pi\)
\(380\) 0.255140 0.208627i 0.0130884 0.0107023i
\(381\) −5.51384 27.2119i −0.282483 1.39411i
\(382\) −1.76784 0.101089i −0.0904507 0.00517216i
\(383\) 0.950643 0.872492i 0.0485756 0.0445823i −0.651520 0.758632i \(-0.725868\pi\)
0.700095 + 0.714050i \(0.253141\pi\)
\(384\) −3.45090 24.0015i −0.176103 1.22482i
\(385\) −9.54846 8.40593i −0.486635 0.428406i
\(386\) −1.70473 + 11.8567i −0.0867686 + 0.603489i
\(387\) −9.38880 13.7307i −0.477259 0.697970i
\(388\) −0.0428931 0.110170i −0.00217757 0.00559304i
\(389\) 4.34479 5.63442i 0.220289 0.285676i −0.668769 0.743470i \(-0.733178\pi\)
0.889058 + 0.457794i \(0.151360\pi\)
\(390\) 1.44857 4.45823i 0.0733510 0.225751i
\(391\) 2.52337 + 4.18454i 0.127612 + 0.211621i
\(392\) −7.81779 + 20.0798i −0.394858 + 1.01418i
\(393\) 35.2225 8.19065i 1.77674 0.413164i
\(394\) −11.4789 4.85102i −0.578299 0.244391i
\(395\) 7.15730 + 4.59971i 0.360123 + 0.231437i
\(396\) −0.146746 + 0.140391i −0.00737427 + 0.00705490i
\(397\) −17.5541 + 11.2814i −0.881017 + 0.566195i −0.901104 0.433603i \(-0.857242\pi\)
0.0200870 + 0.999798i \(0.493606\pi\)
\(398\) −8.89291 + 1.53898i −0.445761 + 0.0771421i
\(399\) −4.74980 55.3010i −0.237788 2.76851i
\(400\) −0.350190 + 4.07718i −0.0175095 + 0.203859i
\(401\) −20.3057 3.51405i −1.01402 0.175483i −0.360794 0.932646i \(-0.617494\pi\)
−0.653227 + 0.757163i \(0.726585\pi\)
\(402\) 21.8714 9.24295i 1.09085 0.460997i
\(403\) 11.8766 8.62882i 0.591613 0.429832i
\(404\) −0.254880 + 0.143937i −0.0126807 + 0.00716114i
\(405\) 0.320079 + 11.2042i 0.0159048 + 0.556742i
\(406\) 19.4737 5.71799i 0.966463 0.283779i
\(407\) −26.6260 + 17.9013i −1.31980 + 0.887334i
\(408\) 19.3102 + 5.66997i 0.955995 + 0.280706i
\(409\) −0.179098 + 0.681359i −0.00885582 + 0.0336910i −0.971428 0.237334i \(-0.923726\pi\)
0.962572 + 0.271025i \(0.0873627\pi\)
\(410\) 1.79881 8.87747i 0.0888368 0.438427i
\(411\) 3.54154 + 6.71196i 0.174691 + 0.331076i
\(412\) 0.0253997 0.889107i 0.00125136 0.0438032i
\(413\) −9.57310 36.4198i −0.471061 1.79210i
\(414\) 2.60543 0.148984i 0.128050 0.00732217i
\(415\) −0.410386 + 0.422278i −0.0201451 + 0.0207288i
\(416\) 0.378714 0.186201i 0.0185680 0.00912926i
\(417\) −4.39477 + 9.62321i −0.215213 + 0.471251i
\(418\) 16.0629 + 28.9726i 0.785662 + 1.41709i
\(419\) 1.08701 + 2.38022i 0.0531038 + 0.116281i 0.934324 0.356425i \(-0.116004\pi\)
−0.881220 + 0.472706i \(0.843277\pi\)
\(420\) −0.290595 0.237618i −0.0141796 0.0115946i
\(421\) 1.06278 2.01419i 0.0517967 0.0981657i −0.857172 0.515031i \(-0.827780\pi\)
0.908968 + 0.416865i \(0.136871\pi\)
\(422\) 10.7791 + 6.08724i 0.524719 + 0.296322i
\(423\) 1.17687 0.135033i 0.0572214 0.00656554i
\(424\) 30.2479 3.47062i 1.46897 0.168548i
\(425\) −3.02564 1.70866i −0.146765 0.0828820i
\(426\) 2.16729 4.10748i 0.105006 0.199008i
\(427\) −18.8098 15.3807i −0.910272 0.744325i
\(428\) −0.277999 0.608732i −0.0134376 0.0294242i
\(429\) 9.57017 + 5.14611i 0.462052 + 0.248456i
\(430\) −7.62285 + 16.6917i −0.367607 + 0.804946i
\(431\) −13.9652 + 6.86624i −0.672681 + 0.330735i −0.745400 0.666617i \(-0.767741\pi\)
0.0727189 + 0.997352i \(0.476832\pi\)
\(432\) −10.0682 + 10.3599i −0.484405 + 0.498441i
\(433\) 24.9619 1.42737i 1.19959 0.0685951i 0.554157 0.832412i \(-0.313041\pi\)
0.645433 + 0.763817i \(0.276677\pi\)
\(434\) −12.9588 49.3005i −0.622043 2.36650i
\(435\) 0.218911 7.66290i 0.0104960 0.367408i
\(436\) 0.108006 + 0.204694i 0.00517255 + 0.00980307i
\(437\) 1.94958 9.62154i 0.0932609 0.460261i
\(438\) 2.90706 11.0596i 0.138905 0.528449i
\(439\) −6.15648 1.80771i −0.293833 0.0862771i 0.131494 0.991317i \(-0.458023\pi\)
−0.425327 + 0.905040i \(0.639841\pi\)
\(440\) −8.94365 2.42609i −0.426372 0.115659i
\(441\) −9.59728 + 2.81801i −0.457013 + 0.134191i
\(442\) 0.224387 + 7.85456i 0.0106730 + 0.373604i
\(443\) 2.90656 1.64141i 0.138095 0.0779857i −0.421137 0.906997i \(-0.638369\pi\)
0.559232 + 0.829011i \(0.311096\pi\)
\(444\) −0.765922 + 0.556475i −0.0363490 + 0.0264091i
\(445\) −17.1906 + 7.26479i −0.814910 + 0.344384i
\(446\) −1.95234 0.337866i −0.0924460 0.0159984i
\(447\) 2.78318 32.4040i 0.131640 1.53266i
\(448\) 2.56100 + 29.8171i 0.120996 + 1.40873i
\(449\) −28.2667 + 4.89174i −1.33399 + 0.230856i −0.792510 0.609859i \(-0.791226\pi\)
−0.541478 + 0.840715i \(0.682135\pi\)
\(450\) −1.56115 + 1.00329i −0.0735932 + 0.0472955i
\(451\) 19.5052 + 7.77096i 0.918466 + 0.365920i
\(452\) 0.267639 + 0.172001i 0.0125887 + 0.00809026i
\(453\) 3.21756 + 1.35975i 0.151174 + 0.0638866i
\(454\) −10.8089 + 2.51349i −0.507285 + 0.117964i
\(455\) −2.19941 + 5.64913i −0.103110 + 0.264835i
\(456\) −20.8791 34.6242i −0.977755 1.62143i
\(457\) 5.24243 16.1345i 0.245230 0.754741i −0.750368 0.661020i \(-0.770124\pi\)
0.995598 0.0937213i \(-0.0298763\pi\)
\(458\) 5.18241 6.72067i 0.242158 0.314036i
\(459\) −4.45043 11.4308i −0.207728 0.533546i
\(460\) −0.0374749 0.0548053i −0.00174728 0.00255531i
\(461\) 0.919452 6.39493i 0.0428231 0.297841i −0.957143 0.289616i \(-0.906473\pi\)
0.999966 0.00822578i \(-0.00261838\pi\)
\(462\) 28.7082 24.4838i 1.33562 1.13909i
\(463\) −1.10403 7.67868i −0.0513085 0.356859i −0.999261 0.0384459i \(-0.987759\pi\)
0.947952 0.318413i \(-0.103150\pi\)
\(464\) 11.1496 10.2330i 0.517607 0.475056i
\(465\) −19.2227 1.09919i −0.891430 0.0509738i
\(466\) −6.66549 32.8955i −0.308773 1.52385i
\(467\) −31.1200 + 25.4467i −1.44006 + 1.17753i −0.487527 + 0.873108i \(0.662101\pi\)
−0.952536 + 0.304426i \(0.901535\pi\)
\(468\) 0.0868484 + 0.0427005i 0.00401457 + 0.00197383i
\(469\) −28.9209 + 10.3190i −1.33544 + 0.476486i
\(470\) −0.798004 1.03487i −0.0368092 0.0477350i
\(471\) 22.3542 37.0704i 1.03003 1.70811i
\(472\) −17.9636 20.7311i −0.826844 0.954228i
\(473\) −34.9222 24.2837i −1.60573 1.11657i
\(474\) −16.5247 + 19.0706i −0.759006 + 0.875940i
\(475\) 2.15721 + 6.63921i 0.0989796 + 0.304628i
\(476\) 0.592639 + 0.211453i 0.0271635 + 0.00969193i
\(477\) 9.84982 + 10.1352i 0.450992 + 0.464060i
\(478\) −15.0549 13.8173i −0.688597 0.631989i
\(479\) −6.47918 + 9.47549i −0.296041 + 0.432946i −0.944603 0.328216i \(-0.893553\pi\)
0.648562 + 0.761162i \(0.275371\pi\)
\(480\) −0.539113 0.125365i −0.0246070 0.00572212i
\(481\) 12.3693 + 8.98685i 0.563993 + 0.409765i
\(482\) −0.729241 0.0836726i −0.0332160 0.00381118i
\(483\) −11.1813 −0.508765
\(484\) −0.223127 + 0.468951i −0.0101421 + 0.0213160i
\(485\) 2.50416 0.113708
\(486\) −17.9736 2.06228i −0.815299 0.0935468i
\(487\) −29.6261 21.5246i −1.34249 0.975373i −0.999349 0.0360877i \(-0.988510\pi\)
−0.343137 0.939285i \(-0.611490\pi\)
\(488\) −17.2397 4.00891i −0.780402 0.181475i
\(489\) 6.03035 8.81911i 0.272702 0.398814i
\(490\) 8.12956 + 7.46124i 0.367256 + 0.337065i
\(491\) −12.0699 12.4196i −0.544705 0.560488i 0.387755 0.921763i \(-0.373251\pi\)
−0.932460 + 0.361275i \(0.882342\pi\)
\(492\) 0.583519 + 0.208199i 0.0263071 + 0.00938634i
\(493\) 3.97097 + 12.2214i 0.178843 + 0.550423i
\(494\) 10.3379 11.9306i 0.465125 0.536782i
\(495\) −1.64333 3.97535i −0.0738624 0.178679i
\(496\) −24.8912 28.7260i −1.11765 1.28983i
\(497\) −3.10147 + 5.14321i −0.139120 + 0.230705i
\(498\) −1.06648 1.38304i −0.0477902 0.0619754i
\(499\) 22.5114 8.03205i 1.00775 0.359564i 0.219960 0.975509i \(-0.429407\pi\)
0.787789 + 0.615945i \(0.211226\pi\)
\(500\) 0.0423676 + 0.0208307i 0.00189474 + 0.000931579i
\(501\) 32.0870 26.2374i 1.43354 1.17220i
\(502\) −0.138667 0.684349i −0.00618901 0.0305440i
\(503\) −20.0527 1.14666i −0.894108 0.0511269i −0.396008 0.918247i \(-0.629605\pi\)
−0.498099 + 0.867120i \(0.665969\pi\)
\(504\) −10.2406 + 9.39870i −0.456151 + 0.418652i
\(505\) −0.882359 6.13694i −0.0392645 0.273090i
\(506\) 6.09195 2.72451i 0.270820 0.121119i
\(507\) −3.09818 + 21.5483i −0.137595 + 0.956993i
\(508\) −0.356930 0.521993i −0.0158362 0.0231597i
\(509\) 4.26112 + 10.9446i 0.188871 + 0.485111i 0.994178 0.107746i \(-0.0343635\pi\)
−0.805308 + 0.592857i \(0.798000\pi\)
\(510\) 6.29332 8.16132i 0.278673 0.361389i
\(511\) −4.56987 + 14.0646i −0.202159 + 0.622181i
\(512\) 11.2446 + 18.6470i 0.496945 + 0.824090i
\(513\) −8.94101 + 22.9648i −0.394755 + 1.01392i
\(514\) −36.2939 + 8.43978i −1.60086 + 0.372263i
\(515\) 17.3540 + 7.33388i 0.764710 + 0.323169i
\(516\) −1.05587 0.678568i −0.0464822 0.0298723i
\(517\) 2.69015 1.39256i 0.118313 0.0612446i
\(518\) 44.6623 28.7027i 1.96235 1.26113i
\(519\) −1.11573 + 0.193084i −0.0489751 + 0.00847547i
\(520\) 0.377899 + 4.39980i 0.0165720 + 0.192944i
\(521\) −2.76308 + 32.1700i −0.121053 + 1.40939i 0.643803 + 0.765192i \(0.277356\pi\)
−0.764855 + 0.644202i \(0.777190\pi\)
\(522\) 6.76235 + 1.17027i 0.295980 + 0.0512213i
\(523\) −0.337128 + 0.142471i −0.0147416 + 0.00622984i −0.396628 0.917979i \(-0.629820\pi\)
0.381887 + 0.924209i \(0.375274\pi\)
\(524\) 0.666316 0.484107i 0.0291082 0.0211483i
\(525\) 6.92326 3.90974i 0.302156 0.170635i
\(526\) 0.0938353 + 3.28466i 0.00409141 + 0.143218i
\(527\) 30.9676 9.09291i 1.34897 0.396093i
\(528\) 11.1549 25.8283i 0.485455 1.12403i
\(529\) 20.1708 + 5.92269i 0.876992 + 0.257508i
\(530\) 3.96358 15.0790i 0.172167 0.654990i
\(531\) 2.52873 12.4798i 0.109738 0.541577i
\(532\) −0.589933 1.11805i −0.0255768 0.0484735i
\(533\) 0.285717 10.0014i 0.0123758 0.433208i
\(534\) −14.0716 53.5337i −0.608936 2.31663i
\(535\) 14.1515 0.809213i 0.611823 0.0349853i
\(536\) −15.5893 + 16.0410i −0.673355 + 0.692866i
\(537\) 0.775190 0.381135i 0.0334519 0.0164472i
\(538\) −17.9074 + 39.2118i −0.772044 + 1.69054i
\(539\) −20.3773 + 15.4597i −0.877712 + 0.665895i
\(540\) 0.0692358 + 0.151605i 0.00297943 + 0.00652405i
\(541\) 4.60697 + 3.76710i 0.198069 + 0.161960i 0.726846 0.686801i \(-0.240985\pi\)
−0.528777 + 0.848761i \(0.677349\pi\)
\(542\) 5.60188 10.6168i 0.240622 0.456028i
\(543\) 28.1728 + 15.9099i 1.20901 + 0.682759i
\(544\) 0.921762 0.105762i 0.0395202 0.00453452i
\(545\) −4.87025 + 0.558810i −0.208619 + 0.0239368i
\(546\) −15.6561 8.84142i −0.670020 0.378378i
\(547\) 1.42160 2.69423i 0.0607832 0.115197i −0.852164 0.523275i \(-0.824710\pi\)
0.912947 + 0.408078i \(0.133801\pi\)
\(548\) 0.133805 + 0.109411i 0.00571585 + 0.00467383i
\(549\) −3.41307 7.47359i −0.145666 0.318965i
\(550\) −2.81936 + 3.81714i −0.120218 + 0.162763i
\(551\) 10.7246 23.4836i 0.456883 1.00043i
\(552\) −7.30930 + 3.59374i −0.311104 + 0.152960i
\(553\) 22.7433 23.4023i 0.967142 0.995166i
\(554\) −35.3258 + 2.02000i −1.50085 + 0.0858216i
\(555\) −5.09783 19.3941i −0.216391 0.823235i
\(556\) −0.00688048 + 0.240848i −0.000291797 + 0.0102142i
\(557\) 5.30622 + 10.0564i 0.224832 + 0.426104i 0.970804 0.239873i \(-0.0771059\pi\)
−0.745972 + 0.665977i \(0.768015\pi\)
\(558\) 3.42307 16.8935i 0.144910 0.715159i
\(559\) −5.15292 + 19.6037i −0.217945 + 0.829150i
\(560\) 15.0603 + 4.42212i 0.636416 + 0.186868i
\(561\) 16.0147 + 17.7265i 0.676141 + 0.748414i
\(562\) 34.1463 10.0263i 1.44038 0.422933i
\(563\) −0.788919 27.6158i −0.0332490 1.16387i −0.829360 0.558715i \(-0.811295\pi\)
0.796111 0.605151i \(-0.206887\pi\)
\(564\) 0.0778314 0.0439534i 0.00327729 0.00185077i
\(565\) −5.45170 + 3.96089i −0.229355 + 0.166636i
\(566\) 33.9157 14.3329i 1.42558 0.602456i
\(567\) 42.3631 + 7.33122i 1.77908 + 0.307882i
\(568\) −0.374395 + 4.35900i −0.0157093 + 0.182900i
\(569\) −1.02524 11.9367i −0.0429804 0.500412i −0.985894 0.167373i \(-0.946472\pi\)
0.942913 0.333039i \(-0.108074\pi\)
\(570\) −20.4017 + 3.53065i −0.854532 + 0.147883i
\(571\) −22.4243 + 14.4112i −0.938427 + 0.603090i −0.917948 0.396700i \(-0.870155\pi\)
−0.0204784 + 0.999790i \(0.506519\pi\)
\(572\) 0.246397 + 0.0231130i 0.0103024 + 0.000966402i
\(573\) 2.15814 + 1.38695i 0.0901577 + 0.0579408i
\(574\) −32.0023 13.5243i −1.33575 0.564493i
\(575\) 1.36973 0.318518i 0.0571218 0.0132831i
\(576\) −3.67145 + 9.43003i −0.152977 + 0.392918i
\(577\) 14.6267 + 24.2556i 0.608916 + 1.00977i 0.996139 + 0.0877878i \(0.0279798\pi\)
−0.387223 + 0.921986i \(0.626566\pi\)
\(578\) 2.17801 6.70321i 0.0905931 0.278817i
\(579\) 10.5974 13.7429i 0.440411 0.571135i
\(580\) −0.0633451 0.162701i −0.00263026 0.00675578i
\(581\) 1.27484 + 1.86440i 0.0528893 + 0.0773482i
\(582\) −1.05700 + 7.35162i −0.0438142 + 0.304734i
\(583\) 32.7558 + 15.2710i 1.35661 + 0.632459i
\(584\) 1.53310 + 10.6630i 0.0634402 + 0.441236i
\(585\) −1.51023 + 1.38608i −0.0624403 + 0.0573072i
\(586\) −14.6926 0.840156i −0.606947 0.0347065i
\(587\) 1.23661 + 6.10293i 0.0510405 + 0.251895i 0.997477 0.0709964i \(-0.0226179\pi\)
−0.946436 + 0.322891i \(0.895345\pi\)
\(588\) −0.584281 + 0.477764i −0.0240953 + 0.0197027i
\(589\) −58.1883 28.6093i −2.39761 1.17882i
\(590\) −13.2303 + 4.72056i −0.544682 + 0.194342i
\(591\) 11.0249 + 14.2973i 0.453503 + 0.588113i
\(592\) 20.4426 33.9003i 0.840186 1.39329i
\(593\) −5.55723 6.41338i −0.228208 0.263366i 0.630085 0.776526i \(-0.283020\pi\)
−0.858293 + 0.513160i \(0.828475\pi\)
\(594\) −16.2350 + 4.13145i −0.666130 + 0.169516i
\(595\) −8.72793 + 10.0726i −0.357810 + 0.412935i
\(596\) −0.228899 0.704478i −0.00937606 0.0288566i
\(597\) 12.3149 + 4.39395i 0.504016 + 0.179833i
\(598\) −2.21636 2.28058i −0.0906335 0.0932597i
\(599\) −8.29851 7.61630i −0.339068 0.311194i 0.488495 0.872567i \(-0.337546\pi\)
−0.827563 + 0.561373i \(0.810273\pi\)
\(600\) 3.26918 4.78102i 0.133464 0.195184i
\(601\) 36.1385 + 8.40364i 1.47412 + 0.342792i 0.885128 0.465348i \(-0.154071\pi\)
0.588991 + 0.808139i \(0.299525\pi\)
\(602\) 56.9416 + 41.3705i 2.32077 + 1.68614i
\(603\) −10.3155 1.18360i −0.420081 0.0481998i
\(604\) 0.0795563 0.00323710
\(605\) −7.54152 8.00784i −0.306606 0.325565i
\(606\) 18.3890 0.747003
\(607\) 28.5391 + 3.27455i 1.15837 + 0.132910i 0.671799 0.740734i \(-0.265522\pi\)
0.486566 + 0.873644i \(0.338249\pi\)
\(608\) −1.50800 1.09563i −0.0611574 0.0444335i
\(609\) −28.6399 6.65992i −1.16055 0.269874i
\(610\) −5.11599 + 7.48189i −0.207140 + 0.302933i
\(611\) −1.06351 0.976078i −0.0430249 0.0394879i
\(612\) 0.148287 + 0.152584i 0.00599415 + 0.00616784i
\(613\) −8.60976 3.07196i −0.347745 0.124075i 0.156401 0.987694i \(-0.450011\pi\)
−0.504146 + 0.863619i \(0.668193\pi\)
\(614\) 8.80813 + 27.1086i 0.355467 + 1.09402i
\(615\) −8.59362 + 9.91757i −0.346528 + 0.399915i
\(616\) −15.9328 + 31.7733i −0.641951 + 1.28018i
\(617\) −15.5244 17.9161i −0.624988 0.721274i 0.351658 0.936128i \(-0.385618\pi\)
−0.976646 + 0.214854i \(0.931072\pi\)
\(618\) −28.8556 + 47.8516i −1.16074 + 1.92488i
\(619\) 14.2520 + 18.4824i 0.572837 + 0.742868i 0.985808 0.167876i \(-0.0536907\pi\)
−0.412971 + 0.910744i \(0.635509\pi\)
\(620\) −0.413017 + 0.147364i −0.0165872 + 0.00591829i
\(621\) 4.45510 + 2.19042i 0.178777 + 0.0878987i
\(622\) 17.5440 14.3457i 0.703451 0.575209i
\(623\) 14.2157 + 70.1571i 0.569538 + 2.81078i
\(624\) −13.3851 0.765388i −0.535833 0.0306400i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 3.39817 + 23.6348i 0.135818 + 0.944637i
\(627\) 0.376770 47.9927i 0.0150467 1.91664i
\(628\) 0.140311 0.975887i 0.00559903 0.0389421i
\(629\) 18.9733 + 27.7475i 0.756513 + 1.10637i
\(630\) 2.58244 + 6.63294i 0.102887 + 0.264263i
\(631\) −8.77880 + 11.3845i −0.349478 + 0.453212i −0.933527 0.358507i \(-0.883286\pi\)
0.584049 + 0.811719i \(0.301468\pi\)
\(632\) 7.34583 22.6081i 0.292202 0.899304i
\(633\) −9.26139 15.3583i −0.368107 0.610437i
\(634\) −0.935020 + 2.40158i −0.0371344 + 0.0953789i
\(635\) 13.0460 3.03372i 0.517716 0.120390i
\(636\) 0.982307 + 0.415127i 0.0389510 + 0.0164608i
\(637\) 10.2539 + 6.58980i 0.406275 + 0.261097i
\(638\) 17.2268 3.35004i 0.682017 0.132629i
\(639\) −1.70848 + 1.09797i −0.0675863 + 0.0434351i
\(640\) 11.5264 1.99471i 0.455619 0.0788480i
\(641\) −0.0130035 0.151397i −0.000513608 0.00597983i 0.996070 0.0885645i \(-0.0282280\pi\)
−0.996584 + 0.0825847i \(0.973682\pi\)
\(642\) −3.59768 + 41.8870i −0.141989 + 1.65315i
\(643\) −22.5388 3.90050i −0.888844 0.153821i −0.292229 0.956348i \(-0.594397\pi\)
−0.596615 + 0.802528i \(0.703488\pi\)
\(644\) −0.234571 + 0.0991307i −0.00924341 + 0.00390630i
\(645\) 21.5077 15.6263i 0.846864 0.615283i
\(646\) 30.2210 17.0666i 1.18903 0.671475i
\(647\) −0.0304021 1.06421i −0.00119523 0.0418385i 0.998776 0.0494690i \(-0.0157529\pi\)
−0.999971 + 0.00763055i \(0.997571\pi\)
\(648\) 30.0495 8.82332i 1.18045 0.346613i
\(649\) −5.30042 32.1273i −0.208060 1.26111i
\(650\) 2.16978 + 0.637105i 0.0851058 + 0.0249893i
\(651\) −18.7744 + 71.4252i −0.735827 + 2.79938i
\(652\) 0.0483223 0.238480i 0.00189245 0.00933959i
\(653\) −14.8160 28.0795i −0.579795 1.09883i −0.982979 0.183715i \(-0.941187\pi\)
0.403184 0.915119i \(-0.367903\pi\)
\(654\) 0.415196 14.5338i 0.0162355 0.568315i
\(655\) 4.43487 + 16.8720i 0.173285 + 0.659244i
\(656\) −25.8638 + 1.47895i −1.00981 + 0.0577432i
\(657\) −3.48509 + 3.58607i −0.135966 + 0.139906i
\(658\) −4.49818 + 2.21160i −0.175357 + 0.0862173i
\(659\) −6.92855 + 15.1714i −0.269898 + 0.590994i −0.995247 0.0973876i \(-0.968951\pi\)
0.725348 + 0.688382i \(0.241679\pi\)
\(660\) −0.230986 0.228035i −0.00899113 0.00887625i
\(661\) 2.99517 + 6.55850i 0.116499 + 0.255096i 0.958895 0.283763i \(-0.0915828\pi\)
−0.842396 + 0.538859i \(0.818856\pi\)
\(662\) −2.83750 2.32021i −0.110282 0.0901775i
\(663\) 5.31260 10.0685i 0.206324 0.391028i
\(664\) 1.43261 + 0.809031i 0.0555959 + 0.0313965i
\(665\) 26.6015 3.05224i 1.03156 0.118361i
\(666\) 17.8350 2.04637i 0.691092 0.0792954i
\(667\) −4.52847 2.55735i −0.175343 0.0990208i
\(668\) 0.440538 0.834912i 0.0170449 0.0323037i
\(669\) 2.22221 + 1.81709i 0.0859154 + 0.0702527i
\(670\) 4.75839 + 10.4194i 0.183833 + 0.402537i
\(671\) −14.9515 14.7604i −0.577195 0.569820i
\(672\) −0.881931 + 1.93116i −0.0340212 + 0.0744961i
\(673\) 4.42815 2.17717i 0.170693 0.0839239i −0.353875 0.935293i \(-0.615136\pi\)
0.524568 + 0.851369i \(0.324227\pi\)
\(674\) 14.4893 14.9091i 0.558106 0.574277i
\(675\) −3.52445 + 0.201535i −0.135656 + 0.00775710i
\(676\) 0.126046 + 0.479529i 0.00484792 + 0.0184434i
\(677\) −1.20623 + 42.2237i −0.0463594 + 1.62279i 0.560621 + 0.828073i \(0.310563\pi\)
−0.606980 + 0.794717i \(0.707619\pi\)
\(678\) −9.32707 17.6768i −0.358204 0.678872i
\(679\) 1.90747 9.41374i 0.0732020 0.361266i
\(680\) −2.46813 + 9.38976i −0.0946486 + 0.360081i
\(681\) 15.4262 + 4.52953i 0.591132 + 0.173572i
\(682\) −7.17502 43.4897i −0.274746 1.66531i
\(683\) −12.6219 + 3.70611i −0.482962 + 0.141810i −0.514145 0.857703i \(-0.671891\pi\)
0.0311830 + 0.999514i \(0.490073\pi\)
\(684\) −0.0122065 0.427284i −0.000466728 0.0163376i
\(685\) −3.18782 + 1.80024i −0.121800 + 0.0687838i
\(686\) 3.16152 2.29698i 0.120707 0.0876990i
\(687\) −11.3256 + 4.78622i −0.432097 + 0.182606i
\(688\) 51.7133 + 8.94934i 1.97155 + 0.341191i
\(689\) 1.47380 17.1591i 0.0561473 0.653711i
\(690\) 0.356929 + 4.15565i 0.0135881 + 0.158203i
\(691\) −3.47233 + 0.600910i −0.132093 + 0.0228597i −0.236185 0.971708i \(-0.575897\pi\)
0.104092 + 0.994568i \(0.466806\pi\)
\(692\) −0.0216950 + 0.0139425i −0.000824721 + 0.000530016i
\(693\) −16.1960 + 3.14958i −0.615236 + 0.119643i
\(694\) −25.0113 16.0738i −0.949417 0.610154i
\(695\) −4.70100 1.98666i −0.178319 0.0753582i
\(696\) −20.8627 + 4.85142i −0.790800 + 0.183893i
\(697\) 7.98081 20.4986i 0.302295 0.776438i
\(698\) 1.61108 + 2.67168i 0.0609803 + 0.101124i
\(699\) −15.0265 + 46.2467i −0.568353 + 1.74921i
\(700\) 0.110580 0.143403i 0.00417953 0.00542011i
\(701\) −15.3117 39.3277i −0.578313 1.48539i −0.851987 0.523563i \(-0.824602\pi\)
0.273673 0.961823i \(-0.411761\pi\)
\(702\) 4.50603 + 6.58986i 0.170069 + 0.248718i
\(703\) 9.61073 66.8441i 0.362475 2.52107i
\(704\) −0.203147 + 25.8766i −0.00765637 + 0.975263i
\(705\) 0.269442 + 1.87401i 0.0101478 + 0.0705793i
\(706\) −22.1441 + 20.3237i −0.833405 + 0.764892i
\(707\) −23.7423 1.35764i −0.892922 0.0510591i
\(708\) −0.190809 0.941677i −0.00717102 0.0353904i
\(709\) 20.2474 16.5563i 0.760409 0.621783i −0.171204 0.985236i \(-0.554766\pi\)
0.931613 + 0.363453i \(0.118402\pi\)
\(710\) 2.01054 + 0.988517i 0.0754543 + 0.0370984i
\(711\) 10.3929 3.70818i 0.389764 0.139068i
\(712\) 31.8419 + 41.2933i 1.19333 + 1.54753i
\(713\) −6.74522 + 11.1857i −0.252611 + 0.418908i
\(714\) −25.8866 29.8747i −0.968781 1.11803i
\(715\) −2.34969 + 4.68577i −0.0878736 + 0.175238i
\(716\) 0.0128836 0.0148685i 0.000481484 0.000555662i
\(717\) 9.14845 + 28.1560i 0.341655 + 1.05151i
\(718\) −10.0759 3.59509i −0.376031 0.134168i
\(719\) 8.74857 + 9.00207i 0.326267 + 0.335720i 0.860343 0.509716i \(-0.170250\pi\)
−0.534076 + 0.845436i \(0.679340\pi\)
\(720\) 3.91027 + 3.58881i 0.145727 + 0.133747i
\(721\) 40.7887 59.6516i 1.51905 2.22154i
\(722\) −41.4361 9.63556i −1.54209 0.358598i
\(723\) 0.860339 + 0.625073i 0.0319963 + 0.0232467i
\(724\) 0.732090 + 0.0839995i 0.0272079 + 0.00312182i
\(725\) 3.69818 0.137347
\(726\) 26.6923 18.7600i 0.990646 0.696248i
\(727\) 24.2754 0.900325 0.450162 0.892947i \(-0.351366\pi\)
0.450162 + 0.892947i \(0.351366\pi\)
\(728\) 16.8277 + 1.93080i 0.623677 + 0.0715603i
\(729\) −5.99953 4.35892i −0.222205 0.161441i
\(730\) 5.37316 + 1.24948i 0.198870 + 0.0462452i
\(731\) −25.1536 + 36.7859i −0.930339 + 1.36058i
\(732\) −0.456744 0.419196i −0.0168818 0.0154939i
\(733\) −27.9245 28.7336i −1.03142 1.06130i −0.998085 0.0618568i \(-0.980298\pi\)
−0.0333303 0.999444i \(-0.510611\pi\)
\(734\) 28.4718 + 10.1587i 1.05092 + 0.374966i
\(735\) −4.94009 15.2040i −0.182218 0.560810i
\(736\) −0.245898 + 0.283781i −0.00906391 + 0.0104603i
\(737\) −25.7316 + 6.54813i −0.947836 + 0.241204i
\(738\) −7.69327 8.87851i −0.283193 0.326822i
\(739\) 14.9807 24.8426i 0.551073 0.913851i −0.448724 0.893670i \(-0.648121\pi\)
0.999796 0.0201807i \(-0.00642414\pi\)
\(740\) −0.278892 0.361673i −0.0102523 0.0132954i
\(741\) −21.5409 + 7.68577i −0.791324 + 0.282344i
\(742\) −53.6664 26.3860i −1.97016 0.968660i
\(743\) −4.69520 + 3.83925i −0.172250 + 0.140848i −0.715208 0.698912i \(-0.753668\pi\)
0.542958 + 0.839760i \(0.317304\pi\)
\(744\) 10.6836 + 52.7256i 0.391680 + 1.93301i
\(745\) 15.6640 + 0.895703i 0.573886 + 0.0328160i
\(746\) −11.6397 + 10.6828i −0.426159 + 0.391125i
\(747\) 0.108689 + 0.755947i 0.00397672 + 0.0276587i
\(748\) 0.493132 + 0.229901i 0.0180307 + 0.00840602i
\(749\) 7.73747 53.8153i 0.282721 1.96637i
\(750\) −1.67411 2.44831i −0.0611298 0.0893995i
\(751\) −14.7036 37.7659i −0.536541 1.37810i −0.895633 0.444793i \(-0.853277\pi\)
0.359092 0.933302i \(-0.383086\pi\)
\(752\) −2.28234 + 2.95979i −0.0832283 + 0.107932i
\(753\) −0.312606 + 0.962103i −0.0113920 + 0.0350610i
\(754\) −4.31863 7.16165i −0.157275 0.260812i
\(755\) −0.611368 + 1.57029i −0.0222500 + 0.0571485i
\(756\) 0.622658 0.144793i 0.0226459 0.00526607i
\(757\) −38.0267 16.0702i −1.38211 0.584083i −0.433676 0.901069i \(-0.642784\pi\)
−0.948430 + 0.316986i \(0.897329\pi\)
\(758\) −28.9303 18.5924i −1.05080 0.675307i
\(759\) −9.62604 0.902961i −0.349403 0.0327754i
\(760\) 16.4087 10.5452i 0.595205 0.382515i
\(761\) −2.12377 + 0.367532i −0.0769865 + 0.0133230i −0.208885 0.977940i \(-0.566984\pi\)
0.131899 + 0.991263i \(0.457893\pi\)
\(762\) 3.39957 + 39.5805i 0.123153 + 1.43385i
\(763\) −1.60907 + 18.7341i −0.0582523 + 0.678219i
\(764\) 0.0575721 + 0.00996324i 0.00208288 + 0.000360457i
\(765\) −4.15125 + 1.75433i −0.150089 + 0.0634280i
\(766\) −1.49362 + 1.08518i −0.0539668 + 0.0392092i
\(767\) −13.5112 + 7.63011i −0.487860 + 0.275507i
\(768\) 0.0670347 + 2.34652i 0.00241891 + 0.0846728i
\(769\) −27.0597 + 7.94545i −0.975798 + 0.286520i −0.730489 0.682925i \(-0.760708\pi\)
−0.245309 + 0.969445i \(0.578890\pi\)
\(770\) 12.2020 + 13.5062i 0.439728 + 0.486731i
\(771\) 51.7979 + 15.2092i 1.86545 + 0.547747i
\(772\) 0.100480 0.382266i 0.00361636