Properties

Label 605.2.s.b.16.2
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 16.2
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.40958 - 0.276474i) q^{2} +(-1.30445 - 0.947741i) q^{3} +(3.78161 + 0.879377i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(2.88116 + 2.64430i) q^{6} +(-2.42714 - 2.49747i) q^{7} +(-4.30030 - 1.53434i) q^{8} +(-0.123665 - 0.380602i) q^{9} +O(q^{10})\) \(q+(-2.40958 - 0.276474i) q^{2} +(-1.30445 - 0.947741i) q^{3} +(3.78161 + 0.879377i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(2.88116 + 2.64430i) q^{6} +(-2.42714 - 2.49747i) q^{7} +(-4.30030 - 1.53434i) q^{8} +(-0.123665 - 0.380602i) q^{9} +(1.58829 - 1.83299i) q^{10} +(2.90012 + 1.60913i) q^{11} +(-4.09952 - 4.73110i) q^{12} +(0.617779 - 1.02447i) q^{13} +(5.15790 + 6.68888i) q^{14} +(1.51862 - 0.541844i) q^{15} +(2.96939 + 1.45995i) q^{16} +(3.01209 - 2.46298i) q^{17} +(0.192755 + 0.951282i) q^{18} +(-6.97344 - 0.398755i) q^{19} +(-2.86041 + 2.62526i) q^{20} +(0.799138 + 5.55812i) q^{21} +(-6.54319 - 4.67914i) q^{22} +(0.524211 - 3.64597i) q^{23} +(4.15538 + 6.07705i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-1.77183 + 2.29774i) q^{26} +(-1.69417 + 5.21411i) q^{27} +(-6.98229 - 11.5788i) q^{28} +(3.60204 - 9.25176i) q^{29} +(-3.80905 + 0.885757i) q^{30} +(4.00238 + 1.69142i) q^{31} +(0.930696 + 0.598122i) q^{32} +(-2.25803 - 4.84760i) q^{33} +(-7.93883 + 5.10198i) q^{34} +(3.43157 - 0.593856i) q^{35} +(-0.132961 - 1.54804i) q^{36} +(0.533639 - 6.21305i) q^{37} +(16.6928 + 2.88880i) q^{38} +(-1.77680 + 0.750880i) q^{39} +(3.69383 - 2.68373i) q^{40} +(-4.36413 + 2.46454i) q^{41} +(-0.388912 - 13.6137i) q^{42} +(-8.17021 + 2.39899i) q^{43} +(9.55210 + 8.63542i) q^{44} +(0.383979 + 0.112746i) q^{45} +(-2.27114 + 8.64032i) q^{46} +(-2.24232 + 11.0663i) q^{47} +(-2.48978 - 4.71865i) q^{48} +(-0.146445 + 5.12624i) q^{49} +(0.616578 + 2.34571i) q^{50} +(-6.26340 + 0.358154i) q^{51} +(3.23710 - 3.33089i) q^{52} +(-9.77378 + 4.80544i) q^{53} +(5.52380 - 12.0954i) q^{54} +(-2.96525 + 1.48570i) q^{55} +(6.60545 + 14.4639i) q^{56} +(8.71860 + 7.12917i) q^{57} +(-11.2373 + 21.2970i) q^{58} +(4.49453 + 2.53818i) q^{59} +(6.21933 - 0.713602i) q^{60} +(-10.4119 + 1.19466i) q^{61} +(-9.17642 - 5.18216i) q^{62} +(-0.650389 + 1.23262i) q^{63} +(-7.20032 - 5.88767i) q^{64} +(0.496971 + 1.08821i) q^{65} +(4.10067 + 12.3050i) q^{66} +(-4.16828 + 9.12727i) q^{67} +(13.5565 - 6.66526i) q^{68} +(-4.13924 + 4.25918i) q^{69} +(-8.43283 + 0.482206i) q^{70} +(2.81295 + 10.7016i) q^{71} +(-0.0521775 + 1.82645i) q^{72} +(4.08353 + 7.73915i) q^{73} +(-3.00359 + 14.8233i) q^{74} +(-0.409900 + 1.55942i) q^{75} +(-26.0202 - 7.64022i) q^{76} +(-3.02024 - 11.1485i) q^{77} +(4.48893 - 1.31807i) q^{78} +(-0.102437 - 3.58576i) q^{79} +(-2.88120 + 1.62709i) q^{80} +(6.18031 - 4.49026i) q^{81} +(11.1971 - 4.73194i) q^{82} +(5.75557 + 0.996040i) q^{83} +(-1.86566 + 21.7214i) q^{84} +(0.332962 + 3.87661i) q^{85} +(20.3500 - 3.52171i) q^{86} +(-13.4670 + 8.65469i) q^{87} +(-10.0024 - 11.3695i) q^{88} +(-4.21689 - 2.71003i) q^{89} +(-0.894056 - 0.377831i) q^{90} +(-4.05801 + 0.943651i) q^{91} +(5.18854 - 13.3267i) q^{92} +(-3.61789 - 5.99960i) q^{93} +(8.46258 - 26.0451i) q^{94} +(4.26527 - 5.53130i) q^{95} +(-0.647185 - 1.66228i) q^{96} +(-3.59077 - 5.25133i) q^{97} +(1.77014 - 12.3116i) q^{98} +(0.253796 - 1.30279i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.40958 0.276474i −1.70383 0.195496i −0.793269 0.608871i \(-0.791623\pi\)
−0.910561 + 0.413375i \(0.864350\pi\)
\(3\) −1.30445 0.947741i −0.753126 0.547178i 0.143668 0.989626i \(-0.454110\pi\)
−0.896794 + 0.442448i \(0.854110\pi\)
\(4\) 3.78161 + 0.879377i 1.89081 + 0.439688i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 2.88116 + 2.64430i 1.17623 + 1.07953i
\(7\) −2.42714 2.49747i −0.917372 0.943953i 0.0812364 0.996695i \(-0.474113\pi\)
−0.998608 + 0.0527416i \(0.983204\pi\)
\(8\) −4.30030 1.53434i −1.52039 0.542473i
\(9\) −0.123665 0.380602i −0.0412217 0.126867i
\(10\) 1.58829 1.83299i 0.502262 0.579641i
\(11\) 2.90012 + 1.60913i 0.874419 + 0.485172i
\(12\) −4.09952 4.73110i −1.18343 1.36575i
\(13\) 0.617779 1.02447i 0.171341 0.284137i −0.758812 0.651310i \(-0.774220\pi\)
0.930153 + 0.367173i \(0.119674\pi\)
\(14\) 5.15790 + 6.68888i 1.37851 + 1.78768i
\(15\) 1.51862 0.541844i 0.392107 0.139903i
\(16\) 2.96939 + 1.45995i 0.742347 + 0.364988i
\(17\) 3.01209 2.46298i 0.730540 0.597360i −0.192847 0.981229i \(-0.561772\pi\)
0.923388 + 0.383869i \(0.125409\pi\)
\(18\) 0.192755 + 0.951282i 0.0454327 + 0.224219i
\(19\) −6.97344 0.398755i −1.59982 0.0914808i −0.765747 0.643142i \(-0.777631\pi\)
−0.834069 + 0.551661i \(0.813994\pi\)
\(20\) −2.86041 + 2.62526i −0.639607 + 0.587026i
\(21\) 0.799138 + 5.55812i 0.174386 + 1.21288i
\(22\) −6.54319 4.67914i −1.39501 0.997596i
\(23\) 0.524211 3.64597i 0.109306 0.760237i −0.859271 0.511521i \(-0.829082\pi\)
0.968576 0.248716i \(-0.0800086\pi\)
\(24\) 4.15538 + 6.07705i 0.848214 + 1.24047i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −1.77183 + 2.29774i −0.347484 + 0.450625i
\(27\) −1.69417 + 5.21411i −0.326043 + 1.00346i
\(28\) −6.98229 11.5788i −1.31953 2.18819i
\(29\) 3.60204 9.25176i 0.668882 1.71801i −0.0267824 0.999641i \(-0.508526\pi\)
0.695664 0.718367i \(-0.255110\pi\)
\(30\) −3.80905 + 0.885757i −0.695434 + 0.161716i
\(31\) 4.00238 + 1.69142i 0.718849 + 0.303788i 0.717837 0.696211i \(-0.245132\pi\)
0.00101199 + 0.999999i \(0.499678\pi\)
\(32\) 0.930696 + 0.598122i 0.164525 + 0.105734i
\(33\) −2.25803 4.84760i −0.393073 0.843859i
\(34\) −7.93883 + 5.10198i −1.36150 + 0.874982i
\(35\) 3.43157 0.593856i 0.580041 0.100380i
\(36\) −0.132961 1.54804i −0.0221602 0.258007i
\(37\) 0.533639 6.21305i 0.0877297 1.02142i −0.811619 0.584187i \(-0.801413\pi\)
0.899349 0.437232i \(-0.144041\pi\)
\(38\) 16.6928 + 2.88880i 2.70793 + 0.468626i
\(39\) −1.77680 + 0.750880i −0.284515 + 0.120237i
\(40\) 3.69383 2.68373i 0.584046 0.424335i
\(41\) −4.36413 + 2.46454i −0.681563 + 0.384896i −0.793291 0.608842i \(-0.791634\pi\)
0.111728 + 0.993739i \(0.464361\pi\)
\(42\) −0.388912 13.6137i −0.0600104 2.10064i
\(43\) −8.17021 + 2.39899i −1.24595 + 0.365843i −0.837246 0.546826i \(-0.815836\pi\)
−0.408700 + 0.912669i \(0.634018\pi\)
\(44\) 9.55210 + 8.63542i 1.44003 + 1.30184i
\(45\) 0.383979 + 0.112746i 0.0572401 + 0.0168072i
\(46\) −2.27114 + 8.64032i −0.334862 + 1.27395i
\(47\) −2.24232 + 11.0663i −0.327076 + 1.61418i 0.392489 + 0.919757i \(0.371614\pi\)
−0.719565 + 0.694425i \(0.755659\pi\)
\(48\) −2.48978 4.71865i −0.359368 0.681078i
\(49\) −0.146445 + 5.12624i −0.0209207 + 0.732320i
\(50\) 0.616578 + 2.34571i 0.0871974 + 0.331733i
\(51\) −6.26340 + 0.358154i −0.877051 + 0.0501516i
\(52\) 3.23710 3.33089i 0.448904 0.461912i
\(53\) −9.77378 + 4.80544i −1.34253 + 0.660079i −0.964097 0.265549i \(-0.914447\pi\)
−0.378435 + 0.925628i \(0.623538\pi\)
\(54\) 5.52380 12.0954i 0.751693 1.64598i
\(55\) −2.96525 + 1.48570i −0.399834 + 0.200332i
\(56\) 6.60545 + 14.4639i 0.882690 + 1.93282i
\(57\) 8.71860 + 7.12917i 1.15481 + 0.944281i
\(58\) −11.2373 + 21.2970i −1.47553 + 2.79643i
\(59\) 4.49453 + 2.53818i 0.585138 + 0.330443i 0.755714 0.654902i \(-0.227290\pi\)
−0.170576 + 0.985345i \(0.554563\pi\)
\(60\) 6.21933 0.713602i 0.802912 0.0921256i
\(61\) −10.4119 + 1.19466i −1.33311 + 0.152960i −0.751083 0.660208i \(-0.770468\pi\)
−0.582028 + 0.813168i \(0.697741\pi\)
\(62\) −9.17642 5.18216i −1.16541 0.658136i
\(63\) −0.650389 + 1.23262i −0.0819413 + 0.155296i
\(64\) −7.20032 5.88767i −0.900039 0.735959i
\(65\) 0.496971 + 1.08821i 0.0616416 + 0.134976i
\(66\) 4.10067 + 12.3050i 0.504758 + 1.51464i
\(67\) −4.16828 + 9.12727i −0.509237 + 1.11507i 0.464119 + 0.885773i \(0.346371\pi\)
−0.973356 + 0.229300i \(0.926356\pi\)
\(68\) 13.5565 6.66526i 1.64396 0.808282i
\(69\) −4.13924 + 4.25918i −0.498306 + 0.512745i
\(70\) −8.43283 + 0.482206i −1.00792 + 0.0576347i
\(71\) 2.81295 + 10.7016i 0.333836 + 1.27004i 0.896384 + 0.443278i \(0.146185\pi\)
−0.562548 + 0.826764i \(0.690179\pi\)
\(72\) −0.0521775 + 1.82645i −0.00614917 + 0.215249i
\(73\) 4.08353 + 7.73915i 0.477941 + 0.905799i 0.998644 + 0.0520613i \(0.0165791\pi\)
−0.520703 + 0.853738i \(0.674330\pi\)
\(74\) −3.00359 + 14.8233i −0.349160 + 1.72317i
\(75\) −0.409900 + 1.55942i −0.0473312 + 0.180066i
\(76\) −26.0202 7.64022i −2.98472 0.876393i
\(77\) −3.02024 11.1485i −0.344188 1.27049i
\(78\) 4.48893 1.31807i 0.508271 0.149242i
\(79\) −0.102437 3.58576i −0.0115251 0.403430i −0.984790 0.173746i \(-0.944413\pi\)
0.973265 0.229683i \(-0.0737691\pi\)
\(80\) −2.88120 + 1.62709i −0.322128 + 0.181914i
\(81\) 6.18031 4.49026i 0.686701 0.498917i
\(82\) 11.1971 4.73194i 1.23651 0.522555i
\(83\) 5.75557 + 0.996040i 0.631755 + 0.109330i 0.477400 0.878686i \(-0.341579\pi\)
0.154355 + 0.988015i \(0.450670\pi\)
\(84\) −1.86566 + 21.7214i −0.203560 + 2.37000i
\(85\) 0.332962 + 3.87661i 0.0361148 + 0.420477i
\(86\) 20.3500 3.52171i 2.19440 0.379756i
\(87\) −13.4670 + 8.65469i −1.44381 + 0.927880i
\(88\) −10.0024 11.3695i −1.06626 1.21200i
\(89\) −4.21689 2.71003i −0.446990 0.287263i 0.297718 0.954654i \(-0.403775\pi\)
−0.744707 + 0.667391i \(0.767411\pi\)
\(90\) −0.894056 0.377831i −0.0942418 0.0398269i
\(91\) −4.05801 + 0.943651i −0.425395 + 0.0989215i
\(92\) 5.18854 13.3267i 0.540943 1.38940i
\(93\) −3.61789 5.99960i −0.375158 0.622129i
\(94\) 8.46258 26.0451i 0.872848 2.68635i
\(95\) 4.26527 5.53130i 0.437607 0.567499i
\(96\) −0.647185 1.66228i −0.0660530 0.169656i
\(97\) −3.59077 5.25133i −0.364587 0.533192i 0.598943 0.800792i \(-0.295588\pi\)
−0.963530 + 0.267600i \(0.913770\pi\)
\(98\) 1.77014 12.3116i 0.178811 1.24366i
\(99\) 0.253796 1.30279i 0.0255074 0.130935i
\(100\) −0.552539 3.84300i −0.0552539 0.384300i
\(101\) −0.699143 + 0.641668i −0.0695674 + 0.0638483i −0.710205 0.703995i \(-0.751398\pi\)
0.640637 + 0.767844i \(0.278670\pi\)
\(102\) 15.1912 + 0.868663i 1.50415 + 0.0860105i
\(103\) 3.91374 + 19.3151i 0.385632 + 1.90317i 0.427439 + 0.904044i \(0.359416\pi\)
−0.0418070 + 0.999126i \(0.513311\pi\)
\(104\) −4.22852 + 3.45765i −0.414641 + 0.339050i
\(105\) −5.03914 2.47758i −0.491770 0.241787i
\(106\) 24.8793 8.87691i 2.41649 0.862202i
\(107\) −4.33118 5.61678i −0.418711 0.542994i 0.534552 0.845136i \(-0.320480\pi\)
−0.953263 + 0.302141i \(0.902299\pi\)
\(108\) −10.9919 + 18.2279i −1.05769 + 1.75399i
\(109\) −9.37988 10.8250i −0.898430 1.03684i −0.999121 0.0419257i \(-0.986651\pi\)
0.100691 0.994918i \(-0.467895\pi\)
\(110\) 7.55576 2.76011i 0.720413 0.263166i
\(111\) −6.58447 + 7.59888i −0.624970 + 0.721254i
\(112\) −3.56094 10.9594i −0.336477 1.03557i
\(113\) −5.19645 1.85409i −0.488841 0.174418i 0.0801159 0.996786i \(-0.474471\pi\)
−0.568957 + 0.822368i \(0.692653\pi\)
\(114\) −19.0371 19.5888i −1.78299 1.83466i
\(115\) 2.71376 + 2.49066i 0.253059 + 0.232255i
\(116\) 21.7573 31.8190i 2.02011 2.95432i
\(117\) −0.466314 0.108437i −0.0431107 0.0100250i
\(118\) −10.1282 7.35856i −0.932375 0.677410i
\(119\) −13.4620 1.54462i −1.23406 0.141595i
\(120\) −7.36191 −0.672047
\(121\) 5.82139 + 9.33335i 0.529217 + 0.848487i
\(122\) 25.4187 2.30130
\(123\) 8.02855 + 0.921191i 0.723910 + 0.0830610i
\(124\) 13.6481 + 9.91590i 1.22563 + 0.890474i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 1.90795 2.79029i 0.169974 0.248579i
\(127\) −8.15893 7.48820i −0.723988 0.664470i 0.226931 0.973911i \(-0.427131\pi\)
−0.950919 + 0.309441i \(0.899858\pi\)
\(128\) 14.1799 + 14.5908i 1.25334 + 1.28965i
\(129\) 12.9313 + 4.61387i 1.13854 + 0.406229i
\(130\) −0.896629 2.75954i −0.0786395 0.242028i
\(131\) −3.44031 + 3.97034i −0.300582 + 0.346890i −0.885868 0.463937i \(-0.846437\pi\)
0.585287 + 0.810826i \(0.300982\pi\)
\(132\) −4.27613 20.3174i −0.372190 1.76840i
\(133\) 15.9296 + 18.3838i 1.38127 + 1.59407i
\(134\) 12.5673 20.8405i 1.08565 1.80034i
\(135\) −3.34784 4.34156i −0.288136 0.373662i
\(136\) −16.7320 + 5.96995i −1.43475 + 0.511919i
\(137\) −5.08953 2.50235i −0.434828 0.213790i 0.210663 0.977559i \(-0.432438\pi\)
−0.645490 + 0.763768i \(0.723347\pi\)
\(138\) 11.1514 9.11844i 0.949269 0.776213i
\(139\) −1.28622 6.34773i −0.109096 0.538408i −0.996934 0.0782517i \(-0.975066\pi\)
0.887838 0.460156i \(-0.152207\pi\)
\(140\) 13.4991 + 0.771906i 1.14088 + 0.0652380i
\(141\) 13.4130 12.3103i 1.12958 1.03671i
\(142\) −3.81933 26.5640i −0.320511 2.22920i
\(143\) 3.44014 1.97700i 0.287679 0.165325i
\(144\) 0.188450 1.31070i 0.0157042 0.109225i
\(145\) 5.60392 + 8.19547i 0.465380 + 0.680597i
\(146\) −7.69993 19.7771i −0.637250 1.63676i
\(147\) 5.04938 6.54815i 0.416466 0.540082i
\(148\) 7.48163 23.0261i 0.614986 1.89273i
\(149\) 1.18757 + 1.96937i 0.0972899 + 0.161337i 0.901186 0.433433i \(-0.142698\pi\)
−0.803896 + 0.594770i \(0.797243\pi\)
\(150\) 1.41883 3.64422i 0.115847 0.297550i
\(151\) −5.43923 + 1.26484i −0.442638 + 0.102931i −0.441891 0.897069i \(-0.645692\pi\)
−0.000746970 1.00000i \(0.500238\pi\)
\(152\) 29.3760 + 12.4144i 2.38271 + 1.00694i
\(153\) −1.30991 0.841826i −0.105900 0.0680576i
\(154\) 4.19523 + 27.6983i 0.338061 + 2.23199i
\(155\) −3.65534 + 2.34914i −0.293604 + 0.188688i
\(156\) −7.37946 + 1.27707i −0.590830 + 0.102247i
\(157\) −1.13049 13.1621i −0.0902230 1.05045i −0.891762 0.452505i \(-0.850530\pi\)
0.801539 0.597943i \(-0.204015\pi\)
\(158\) −0.744538 + 8.66850i −0.0592323 + 0.689629i
\(159\) 17.3038 + 2.99453i 1.37228 + 0.237482i
\(160\) −1.01906 + 0.430658i −0.0805636 + 0.0340465i
\(161\) −10.3780 + 7.54006i −0.817902 + 0.594240i
\(162\) −16.1334 + 9.11094i −1.26756 + 0.715823i
\(163\) −0.660000 23.1030i −0.0516952 1.80957i −0.450762 0.892644i \(-0.648848\pi\)
0.399066 0.916922i \(-0.369334\pi\)
\(164\) −18.6707 + 5.48222i −1.45794 + 0.428090i
\(165\) 5.27609 + 0.872254i 0.410743 + 0.0679049i
\(166\) −13.5931 3.99130i −1.05503 0.309785i
\(167\) 0.737646 2.80630i 0.0570807 0.217158i −0.932492 0.361190i \(-0.882371\pi\)
0.989573 + 0.144032i \(0.0460069\pi\)
\(168\) 5.09154 25.1278i 0.392821 1.93865i
\(169\) 5.39879 + 10.2318i 0.415291 + 0.787064i
\(170\) 0.269481 9.43306i 0.0206682 0.723482i
\(171\) 0.710604 + 2.70342i 0.0543413 + 0.206736i
\(172\) −33.0062 + 1.88736i −2.51670 + 0.143910i
\(173\) −4.22684 + 4.34931i −0.321361 + 0.330672i −0.858493 0.512826i \(-0.828599\pi\)
0.537132 + 0.843498i \(0.319508\pi\)
\(174\) 34.8425 17.1309i 2.64140 1.29869i
\(175\) −1.44671 + 3.16786i −0.109361 + 0.239468i
\(176\) 6.26233 + 9.01217i 0.472041 + 0.679318i
\(177\) −3.45737 7.57058i −0.259872 0.569040i
\(178\) 9.41169 + 7.69590i 0.705436 + 0.576832i
\(179\) −7.36875 + 13.9653i −0.550766 + 1.04382i 0.438642 + 0.898662i \(0.355460\pi\)
−0.989409 + 0.145157i \(0.953631\pi\)
\(180\) 1.35291 + 0.764025i 0.100840 + 0.0569471i
\(181\) 2.03277 0.233239i 0.151095 0.0173365i −0.0381140 0.999273i \(-0.512135\pi\)
0.189209 + 0.981937i \(0.439408\pi\)
\(182\) 10.0390 1.15187i 0.744141 0.0853822i
\(183\) 14.7141 + 8.30944i 1.08770 + 0.614251i
\(184\) −7.84843 + 14.8744i −0.578594 + 1.09656i
\(185\) 4.82749 + 3.94742i 0.354924 + 0.290220i
\(186\) 7.05887 + 15.4568i 0.517581 + 1.13334i
\(187\) 12.6987 2.29607i 0.928620 0.167905i
\(188\) −18.2110 + 39.8765i −1.32817 + 2.90830i
\(189\) 17.1340 8.42424i 1.24632 0.612773i
\(190\) −11.8068 + 12.1489i −0.856553 + 0.881372i
\(191\) −3.29015 + 0.188137i −0.238067 + 0.0136131i −0.175715 0.984441i \(-0.556224\pi\)
−0.0623517 + 0.998054i \(0.519860\pi\)
\(192\) 3.81249 + 14.5042i 0.275143 + 1.04675i
\(193\) 0.160561 5.62037i 0.0115574 0.404563i −0.973132 0.230247i \(-0.926047\pi\)
0.984690 0.174316i \(-0.0557715\pi\)
\(194\) 7.20039 + 13.6463i 0.516958 + 0.979744i
\(195\) 0.383070 1.89052i 0.0274322 0.135383i
\(196\) −5.06170 + 19.2567i −0.361550 + 1.37548i
\(197\) 6.91297 + 2.02983i 0.492529 + 0.144619i 0.518559 0.855042i \(-0.326469\pi\)
−0.0260307 + 0.999661i \(0.508287\pi\)
\(198\) −0.971727 + 3.06900i −0.0690576 + 0.218104i
\(199\) −5.77572 + 1.69591i −0.409430 + 0.120220i −0.479960 0.877290i \(-0.659349\pi\)
0.0705304 + 0.997510i \(0.477531\pi\)
\(200\) 0.130382 + 4.56397i 0.00921940 + 0.322721i
\(201\) 14.0876 7.95564i 0.993663 0.561148i
\(202\) 1.86205 1.35286i 0.131013 0.0951866i
\(203\) −31.8486 + 13.4593i −2.23533 + 0.944660i
\(204\) −24.0007 4.15349i −1.68039 0.290802i
\(205\) 0.428897 4.99356i 0.0299555 0.348766i
\(206\) −4.09036 47.6232i −0.284989 3.31807i
\(207\) −1.45249 + 0.251363i −0.100955 + 0.0174710i
\(208\) 3.33010 2.14013i 0.230901 0.148391i
\(209\) −19.5821 12.3776i −1.35453 0.856178i
\(210\) 11.4572 + 7.36312i 0.790624 + 0.508103i
\(211\) −16.8108 7.10431i −1.15730 0.489081i −0.275781 0.961221i \(-0.588936\pi\)
−0.881524 + 0.472140i \(0.843482\pi\)
\(212\) −41.1865 + 9.57750i −2.82870 + 0.657786i
\(213\) 6.47295 16.6256i 0.443519 1.13917i
\(214\) 8.88344 + 14.7315i 0.607260 + 1.00703i
\(215\) 2.63132 8.09837i 0.179455 0.552304i
\(216\) 15.2857 19.8228i 1.04006 1.34877i
\(217\) −5.49006 14.1011i −0.372690 0.957246i
\(218\) 19.6088 + 28.6769i 1.32807 + 1.94225i
\(219\) 2.00793 13.9655i 0.135684 0.943701i
\(220\) −12.5199 + 3.01079i −0.844092 + 0.202987i
\(221\) −0.662441 4.60738i −0.0445606 0.309926i
\(222\) 17.9667 16.4897i 1.20585 1.10671i
\(223\) 13.4422 + 0.768653i 0.900157 + 0.0514728i 0.501037 0.865426i \(-0.332952\pi\)
0.399120 + 0.916899i \(0.369316\pi\)
\(224\) −0.765138 3.77611i −0.0511230 0.252302i
\(225\) −0.309803 + 0.253325i −0.0206535 + 0.0168883i
\(226\) 12.0087 + 5.90426i 0.798804 + 0.392745i
\(227\) −3.63452 + 1.29679i −0.241232 + 0.0860713i −0.453898 0.891054i \(-0.649967\pi\)
0.212667 + 0.977125i \(0.431785\pi\)
\(228\) 26.7012 + 34.6267i 1.76833 + 2.29321i
\(229\) 8.46872 14.0438i 0.559628 0.928040i −0.439921 0.898036i \(-0.644994\pi\)
0.999550 0.0300033i \(-0.00955178\pi\)
\(230\) −5.85041 6.75173i −0.385765 0.445196i
\(231\) −6.62616 + 17.4051i −0.435970 + 1.14517i
\(232\) −29.6852 + 34.2586i −1.94893 + 2.24919i
\(233\) 0.623321 + 1.91838i 0.0408351 + 0.125678i 0.969396 0.245503i \(-0.0789531\pi\)
−0.928561 + 0.371181i \(0.878953\pi\)
\(234\) 1.09364 + 0.390210i 0.0714935 + 0.0255088i
\(235\) −7.86924 8.09725i −0.513333 0.528207i
\(236\) 14.7646 + 13.5508i 0.961091 + 0.882082i
\(237\) −3.26475 + 4.77454i −0.212068 + 0.310140i
\(238\) 32.0106 + 7.44376i 2.07494 + 0.482507i
\(239\) 0.630580 + 0.458143i 0.0407889 + 0.0296348i 0.607993 0.793942i \(-0.291975\pi\)
−0.567204 + 0.823577i \(0.691975\pi\)
\(240\) 5.30045 + 0.608170i 0.342142 + 0.0392572i
\(241\) 19.9160 1.28291 0.641453 0.767163i \(-0.278332\pi\)
0.641453 + 0.767163i \(0.278332\pi\)
\(242\) −11.4467 24.0989i −0.735820 1.54914i
\(243\) 4.12980 0.264927
\(244\) −40.4245 4.63828i −2.58791 0.296935i
\(245\) −4.14891 3.01436i −0.265064 0.192580i
\(246\) −19.0908 4.43937i −1.21718 0.283044i
\(247\) −4.71655 + 6.89774i −0.300107 + 0.438893i
\(248\) −14.6162 13.4146i −0.928131 0.851831i
\(249\) −6.56388 6.75407i −0.415969 0.428022i
\(250\) −2.28434 0.815051i −0.144474 0.0515483i
\(251\) −0.546819 1.68293i −0.0345149 0.106226i 0.932315 0.361648i \(-0.117786\pi\)
−0.966830 + 0.255422i \(0.917786\pi\)
\(252\) −3.54346 + 4.08937i −0.223217 + 0.257606i
\(253\) 7.38712 9.73021i 0.464424 0.611733i
\(254\) 17.5893 + 20.2991i 1.10365 + 1.27368i
\(255\) 3.23969 5.37242i 0.202877 0.336434i
\(256\) −18.7743 24.3469i −1.17339 1.52168i
\(257\) 9.80017 3.49669i 0.611318 0.218118i −0.0122016 0.999926i \(-0.503884\pi\)
0.623520 + 0.781808i \(0.285702\pi\)
\(258\) −29.8833 14.6926i −1.86046 0.914724i
\(259\) −16.8121 + 13.7472i −1.04465 + 0.854208i
\(260\) 0.922402 + 4.55223i 0.0572049 + 0.282317i
\(261\) −3.96669 0.226823i −0.245532 0.0140400i
\(262\) 9.38741 8.61568i 0.579956 0.532279i
\(263\) 2.78551 + 19.3736i 0.171762 + 1.19463i 0.875160 + 0.483834i \(0.160756\pi\)
−0.703398 + 0.710796i \(0.748335\pi\)
\(264\) 2.27232 + 24.3107i 0.139852 + 1.49622i
\(265\) 1.54998 10.7804i 0.0952148 0.662234i
\(266\) −33.3011 48.7012i −2.04182 2.98606i
\(267\) 2.93233 + 7.53163i 0.179456 + 0.460928i
\(268\) −23.7891 + 30.8503i −1.45315 + 1.88448i
\(269\) −6.67552 + 20.5451i −0.407013 + 1.25266i 0.512189 + 0.858873i \(0.328835\pi\)
−0.919202 + 0.393786i \(0.871165\pi\)
\(270\) 6.86656 + 11.3869i 0.417886 + 0.692986i
\(271\) 8.41929 21.6248i 0.511436 1.31361i −0.405324 0.914173i \(-0.632841\pi\)
0.916760 0.399439i \(-0.130795\pi\)
\(272\) 12.5399 2.91603i 0.760343 0.176810i
\(273\) 6.18783 + 2.61500i 0.374504 + 0.158267i
\(274\) 11.5718 + 7.43674i 0.699078 + 0.449270i
\(275\) 0.447307 3.28632i 0.0269736 0.198173i
\(276\) −19.3984 + 12.4666i −1.16765 + 0.750402i
\(277\) 0.558172 0.0965954i 0.0335373 0.00580386i −0.153729 0.988113i \(-0.549128\pi\)
0.187266 + 0.982309i \(0.440037\pi\)
\(278\) 1.34426 + 15.6510i 0.0806236 + 0.938683i
\(279\) 0.148803 1.73249i 0.00890862 0.103721i
\(280\) −15.6680 2.71145i −0.936340 0.162040i
\(281\) −13.8006 + 5.83216i −0.823272 + 0.347918i −0.759874 0.650071i \(-0.774739\pi\)
−0.0633982 + 0.997988i \(0.520194\pi\)
\(282\) −35.7231 + 25.9543i −2.12728 + 1.54556i
\(283\) −14.3637 + 8.11156i −0.853834 + 0.482182i −0.855492 0.517816i \(-0.826745\pi\)
0.00165770 + 0.999999i \(0.499472\pi\)
\(284\) 1.22678 + 42.9428i 0.0727959 + 2.54819i
\(285\) −10.8061 + 3.17295i −0.640097 + 0.187949i
\(286\) −8.83588 + 3.81263i −0.522477 + 0.225446i
\(287\) 16.7475 + 4.91750i 0.988571 + 0.290271i
\(288\) 0.112552 0.428192i 0.00663219 0.0252315i
\(289\) −0.369584 + 1.82397i −0.0217402 + 0.107292i
\(290\) −11.2373 21.2970i −0.659875 1.25060i
\(291\) −0.292911 + 10.2532i −0.0171708 + 0.601055i
\(292\) 8.63671 + 32.8575i 0.505425 + 1.92284i
\(293\) 21.0587 1.20418i 1.23026 0.0703490i 0.570166 0.821530i \(-0.306879\pi\)
0.660097 + 0.751181i \(0.270515\pi\)
\(294\) −13.9773 + 14.3823i −0.815171 + 0.838791i
\(295\) −4.63210 + 2.27745i −0.269691 + 0.132598i
\(296\) −11.8278 + 25.8992i −0.687475 + 1.50536i
\(297\) −13.3035 + 12.3954i −0.771946 + 0.719254i
\(298\) −2.31708 5.07369i −0.134225 0.293911i
\(299\) −3.41134 2.78944i −0.197283 0.161317i
\(300\) −2.92140 + 5.53667i −0.168667 + 0.319660i
\(301\) 25.8216 + 14.5821i 1.48833 + 0.840501i
\(302\) 13.4560 1.54393i 0.774303 0.0888430i
\(303\) 1.52013 0.174419i 0.0873295 0.0100201i
\(304\) −20.1247 11.3649i −1.15423 0.651823i
\(305\) 4.89079 9.26907i 0.280046 0.530746i
\(306\) 2.92358 + 2.39060i 0.167130 + 0.136662i
\(307\) 5.01692 + 10.9855i 0.286331 + 0.626977i 0.997071 0.0764772i \(-0.0243672\pi\)
−0.710740 + 0.703454i \(0.751640\pi\)
\(308\) −1.61761 44.8154i −0.0921718 2.55359i
\(309\) 13.2004 28.9048i 0.750944 1.64434i
\(310\) 9.45730 4.64984i 0.537139 0.264093i
\(311\) 8.69688 8.94888i 0.493155 0.507444i −0.424171 0.905582i \(-0.639434\pi\)
0.917326 + 0.398138i \(0.130343\pi\)
\(312\) 8.79287 0.502794i 0.497798 0.0284651i
\(313\) −0.612591 2.33054i −0.0346257 0.131730i 0.947589 0.319493i \(-0.103513\pi\)
−0.982214 + 0.187763i \(0.939876\pi\)
\(314\) −0.914955 + 32.0276i −0.0516339 + 1.80742i
\(315\) −0.650389 1.23262i −0.0366453 0.0694505i
\(316\) 2.76586 13.6500i 0.155592 0.767875i
\(317\) −3.97535 + 15.1238i −0.223278 + 0.849438i 0.757261 + 0.653113i \(0.226537\pi\)
−0.980539 + 0.196325i \(0.937099\pi\)
\(318\) −40.8669 11.9996i −2.29170 0.672904i
\(319\) 25.3336 21.0351i 1.41841 1.17774i
\(320\) 8.92427 2.62040i 0.498882 0.146485i
\(321\) 0.326576 + 11.4317i 0.0182277 + 0.638053i
\(322\) 27.0913 15.2991i 1.50974 0.852588i
\(323\) −21.9868 + 15.9743i −1.22338 + 0.888835i
\(324\) 27.3202 11.5456i 1.51779 0.641422i
\(325\) −1.17880 0.204000i −0.0653882 0.0113159i
\(326\) −4.79705 + 55.8510i −0.265684 + 3.09330i
\(327\) 1.97636 + 23.0104i 0.109293 + 1.27248i
\(328\) 22.5485 3.90218i 1.24503 0.215462i
\(329\) 33.0801 21.2593i 1.82376 1.17206i
\(330\) −12.4720 3.56046i −0.686561 0.195997i
\(331\) −5.54014 3.56043i −0.304513 0.195699i 0.379456 0.925210i \(-0.376111\pi\)
−0.683969 + 0.729511i \(0.739748\pi\)
\(332\) 20.8894 + 8.82795i 1.14646 + 0.484497i
\(333\) −2.43069 + 0.565234i −0.133201 + 0.0309746i
\(334\) −2.55328 + 6.55805i −0.139709 + 0.358841i
\(335\) −5.18154 8.59262i −0.283098 0.469465i
\(336\) −5.74164 + 17.6709i −0.313232 + 0.964029i
\(337\) −15.2539 + 19.7816i −0.830932 + 1.07757i 0.164895 + 0.986311i \(0.447271\pi\)
−0.995827 + 0.0912604i \(0.970910\pi\)
\(338\) −10.1800 26.1470i −0.553718 1.42221i
\(339\) 5.02133 + 7.34346i 0.272721 + 0.398842i
\(340\) −2.14987 + 14.9526i −0.116593 + 0.810921i
\(341\) 8.88566 + 11.3457i 0.481186 + 0.614403i
\(342\) −0.964834 6.71057i −0.0521722 0.362866i
\(343\) −4.80224 + 4.40746i −0.259297 + 0.237980i
\(344\) 38.8152 + 2.21954i 2.09278 + 0.119669i
\(345\) −1.17947 5.82089i −0.0635003 0.313386i
\(346\) 11.3874 9.31141i 0.612189 0.500584i
\(347\) −14.4255 7.09253i −0.774400 0.380747i 0.0108376 0.999941i \(-0.496550\pi\)
−0.785238 + 0.619194i \(0.787459\pi\)
\(348\) −58.5376 + 20.8862i −3.13794 + 1.11962i
\(349\) −10.7381 13.9255i −0.574799 0.745412i 0.411313 0.911494i \(-0.365070\pi\)
−0.986112 + 0.166082i \(0.946888\pi\)
\(350\) 4.36180 7.23324i 0.233148 0.386633i
\(351\) 4.29508 + 4.95679i 0.229255 + 0.264574i
\(352\) 1.73667 + 3.23224i 0.0925650 + 0.172279i
\(353\) 12.1213 13.9887i 0.645151 0.744543i −0.335126 0.942173i \(-0.608779\pi\)
0.980277 + 0.197630i \(0.0633244\pi\)
\(354\) 6.23774 + 19.1978i 0.331532 + 1.02035i
\(355\) −10.4216 3.71842i −0.553121 0.197353i
\(356\) −13.5635 13.9565i −0.718865 0.739695i
\(357\) 16.0966 + 14.7733i 0.851923 + 0.781888i
\(358\) 21.6166 31.6133i 1.14248 1.67082i
\(359\) −20.8994 4.85995i −1.10303 0.256498i −0.364825 0.931076i \(-0.618871\pi\)
−0.738204 + 0.674578i \(0.764326\pi\)
\(360\) −1.47823 1.07400i −0.0779097 0.0566047i
\(361\) 29.5936 + 3.39555i 1.55756 + 0.178713i
\(362\) −4.96261 −0.260829
\(363\) 1.25187 17.6921i 0.0657062 0.928594i
\(364\) −16.1757 −0.847836
\(365\) −8.69338 0.997472i −0.455032 0.0522101i
\(366\) −33.1575 24.0903i −1.73317 1.25922i
\(367\) 10.9148 + 2.53813i 0.569749 + 0.132490i 0.501467 0.865177i \(-0.332794\pi\)
0.0682820 + 0.997666i \(0.478248\pi\)
\(368\) 6.87952 10.0610i 0.358620 0.524464i
\(369\) 1.47770 + 1.35622i 0.0769261 + 0.0706021i
\(370\) −10.5409 10.8463i −0.547993 0.563872i
\(371\) 35.7237 + 12.7462i 1.85468 + 0.661750i
\(372\) −8.40556 25.8697i −0.435808 1.34128i
\(373\) 4.42979 5.11225i 0.229366 0.264702i −0.629387 0.777092i \(-0.716694\pi\)
0.858753 + 0.512389i \(0.171240\pi\)
\(374\) −31.2333 + 2.02171i −1.61504 + 0.104540i
\(375\) −1.05589 1.21857i −0.0545261 0.0629264i
\(376\) 26.6221 44.1478i 1.37293 2.27675i
\(377\) −7.25289 9.40572i −0.373543 0.484419i
\(378\) −43.6149 + 15.5618i −2.24331 + 0.800411i
\(379\) −33.2772 16.3613i −1.70934 0.840424i −0.989197 0.146594i \(-0.953169\pi\)
−0.720139 0.693830i \(-0.755922\pi\)
\(380\) 20.9937 17.1665i 1.07695 0.880621i
\(381\) 3.54607 + 17.5006i 0.181671 + 0.896581i
\(382\) 7.97989 + 0.456306i 0.408286 + 0.0233467i
\(383\) 1.30203 1.19499i 0.0665306 0.0610613i −0.642220 0.766520i \(-0.721986\pi\)
0.708751 + 0.705459i \(0.249259\pi\)
\(384\) −4.66874 32.4718i −0.238251 1.65707i
\(385\) 10.9076 + 3.79959i 0.555900 + 0.193645i
\(386\) −1.94077 + 13.4983i −0.0987824 + 0.687047i
\(387\) 1.92343 + 2.81293i 0.0977736 + 0.142989i
\(388\) −8.96101 23.0162i −0.454926 1.16847i
\(389\) −1.04107 + 1.35009i −0.0527845 + 0.0684522i −0.817555 0.575851i \(-0.804671\pi\)
0.764770 + 0.644303i \(0.222853\pi\)
\(390\) −1.44572 + 4.44946i −0.0732068 + 0.225307i
\(391\) −7.40096 12.2731i −0.374283 0.620678i
\(392\) 8.49518 21.8197i 0.429071 1.10206i
\(393\) 8.25058 1.91859i 0.416187 0.0967801i
\(394\) −16.0962 6.80229i −0.810913 0.342695i
\(395\) 3.01776 + 1.93940i 0.151840 + 0.0975818i
\(396\) 2.10540 4.70345i 0.105800 0.236357i
\(397\) 20.0554 12.8888i 1.00655 0.646871i 0.0700526 0.997543i \(-0.477683\pi\)
0.936498 + 0.350672i \(0.114047\pi\)
\(398\) 14.3859 2.48958i 0.721102 0.124792i
\(399\) −3.35640 39.0779i −0.168030 1.95634i
\(400\) 0.283158 3.29675i 0.0141579 0.164837i
\(401\) −14.0741 2.43561i −0.702825 0.121629i −0.192103 0.981375i \(-0.561531\pi\)
−0.510722 + 0.859746i \(0.670622\pi\)
\(402\) −36.1448 + 15.2749i −1.80274 + 0.761843i
\(403\) 4.20539 3.05540i 0.209486 0.152200i
\(404\) −3.20816 + 1.81173i −0.159612 + 0.0901370i
\(405\) 0.218148 + 7.63617i 0.0108398 + 0.379444i
\(406\) 80.4629 23.6260i 3.99331 1.17254i
\(407\) 11.5452 17.1599i 0.572276 0.850584i
\(408\) 27.4840 + 8.07004i 1.36066 + 0.399527i
\(409\) −7.78063 + 29.6006i −0.384727 + 1.46365i 0.439935 + 0.898029i \(0.355001\pi\)
−0.824663 + 0.565625i \(0.808635\pi\)
\(410\) −2.41405 + 11.9138i −0.119221 + 0.588381i
\(411\) 4.26747 + 8.08776i 0.210499 + 0.398940i
\(412\) −2.18497 + 76.4838i −0.107646 + 3.76809i
\(413\) −4.56983 17.3854i −0.224867 0.855482i
\(414\) 3.56939 0.204105i 0.175426 0.0100312i
\(415\) −4.07089 + 4.18885i −0.199832 + 0.205623i
\(416\) 1.18772 0.583964i 0.0582329 0.0286312i
\(417\) −4.33819 + 9.49932i −0.212442 + 0.465184i
\(418\) 43.7627 + 35.2388i 2.14050 + 1.72359i
\(419\) −16.3019 35.6963i −0.796402 1.74388i −0.657342 0.753592i \(-0.728319\pi\)
−0.139060 0.990284i \(-0.544408\pi\)
\(420\) −16.8774 13.8006i −0.823531 0.673398i
\(421\) −13.5102 + 25.6048i −0.658449 + 1.24790i 0.297599 + 0.954691i \(0.403814\pi\)
−0.956048 + 0.293209i \(0.905277\pi\)
\(422\) 38.5429 + 21.7662i 1.87624 + 1.05956i
\(423\) 4.48915 0.515082i 0.218270 0.0250441i
\(424\) 49.4034 5.66851i 2.39924 0.275287i
\(425\) −3.38797 1.91327i −0.164341 0.0928075i
\(426\) −20.1936 + 38.2712i −0.978385 + 1.85425i
\(427\) 28.2548 + 23.1038i 1.36735 + 1.11807i
\(428\) −11.4396 25.0492i −0.552954 1.21080i
\(429\) −6.36119 0.681457i −0.307121 0.0329011i
\(430\) −8.57937 + 18.7862i −0.413734 + 0.905950i
\(431\) 15.7280 7.73294i 0.757592 0.372483i −0.0211920 0.999775i \(-0.506746\pi\)
0.778784 + 0.627293i \(0.215837\pi\)
\(432\) −12.6430 + 13.0093i −0.608286 + 0.625911i
\(433\) −22.9498 + 1.31232i −1.10290 + 0.0630661i −0.599040 0.800719i \(-0.704451\pi\)
−0.503860 + 0.863786i \(0.668087\pi\)
\(434\) 9.33016 + 35.4956i 0.447862 + 1.70384i
\(435\) 0.457131 16.0017i 0.0219178 0.767222i
\(436\) −25.9519 49.1843i −1.24287 2.35550i
\(437\) −5.10940 + 25.2159i −0.244416 + 1.20624i
\(438\) −8.69937 + 33.0958i −0.415672 + 1.58138i
\(439\) 2.11820 + 0.621960i 0.101096 + 0.0296845i 0.331889 0.943318i \(-0.392314\pi\)
−0.230793 + 0.973003i \(0.574132\pi\)
\(440\) 15.0310 1.83926i 0.716576 0.0876834i
\(441\) 1.96917 0.578200i 0.0937700 0.0275334i
\(442\) 0.322386 + 11.2850i 0.0153343 + 0.536772i
\(443\) −1.92576 + 1.08753i −0.0914955 + 0.0516699i −0.536802 0.843709i \(-0.680368\pi\)
0.445306 + 0.895378i \(0.353095\pi\)
\(444\) −31.5822 + 22.9458i −1.49882 + 1.08896i
\(445\) 4.61725 1.95127i 0.218879 0.0924989i
\(446\) −32.1776 5.56855i −1.52365 0.263678i
\(447\) 0.317318 3.69447i 0.0150086 0.174742i
\(448\) 2.77191 + 32.2727i 0.130960 + 1.52474i
\(449\) −2.42455 + 0.419585i −0.114422 + 0.0198014i −0.227445 0.973791i \(-0.573037\pi\)
0.113024 + 0.993592i \(0.463946\pi\)
\(450\) 0.816533 0.524754i 0.0384917 0.0247371i
\(451\) −16.6223 + 0.124991i −0.782713 + 0.00588561i
\(452\) −18.0205 11.5811i −0.847614 0.544728i
\(453\) 8.29396 + 3.50506i 0.389684 + 0.164682i
\(454\) 9.11620 2.11988i 0.427844 0.0994910i
\(455\) 1.51156 3.88241i 0.0708631 0.182010i
\(456\) −26.5540 44.0349i −1.24351 2.06212i
\(457\) −7.02239 + 21.6127i −0.328493 + 1.01100i 0.641346 + 0.767252i \(0.278377\pi\)
−0.969839 + 0.243747i \(0.921623\pi\)
\(458\) −24.2888 + 31.4983i −1.13494 + 1.47182i
\(459\) 7.73924 + 19.8781i 0.361237 + 0.927830i
\(460\) 8.07215 + 11.8051i 0.376366 + 0.550418i
\(461\) −4.49711 + 31.2781i −0.209451 + 1.45677i 0.565501 + 0.824748i \(0.308683\pi\)
−0.774953 + 0.632019i \(0.782226\pi\)
\(462\) 20.7783 40.1071i 0.966696 1.86595i
\(463\) −5.75475 40.0251i −0.267446 1.86013i −0.472440 0.881363i \(-0.656627\pi\)
0.204994 0.978763i \(-0.434282\pi\)
\(464\) 24.2030 22.2133i 1.12359 1.03123i
\(465\) 6.99459 + 0.399965i 0.324366 + 0.0185479i
\(466\) −0.971559 4.79483i −0.0450066 0.222116i
\(467\) 32.0727 26.2257i 1.48415 1.21358i 0.561770 0.827294i \(-0.310121\pi\)
0.922378 0.386288i \(-0.126243\pi\)
\(468\) −1.66806 0.820131i −0.0771062 0.0379106i
\(469\) 32.9120 11.7430i 1.51974 0.542241i
\(470\) 16.7229 + 21.6866i 0.771369 + 1.00033i
\(471\) −10.9996 + 18.2407i −0.506833 + 0.840488i
\(472\) −15.4334 17.8111i −0.710379 0.819821i
\(473\) −27.5549 6.18959i −1.26697 0.284598i
\(474\) 9.18670 10.6020i 0.421959 0.486967i
\(475\) 2.15843 + 6.64297i 0.0990356 + 0.304800i
\(476\) −49.5497 17.6793i −2.27111 0.810329i
\(477\) 3.03764 + 3.12566i 0.139084 + 0.143114i
\(478\) −1.39277 1.27827i −0.0637038 0.0584668i
\(479\) 10.9931 16.0769i 0.502287 0.734571i −0.488117 0.872778i \(-0.662316\pi\)
0.990403 + 0.138208i \(0.0441341\pi\)
\(480\) 1.73747 + 0.404030i 0.0793041 + 0.0184414i
\(481\) −6.03541 4.38499i −0.275191 0.199938i
\(482\) −47.9893 5.50626i −2.18585 0.250803i
\(483\) 20.6837 0.941139
\(484\) 13.8067 + 40.4143i 0.627578 + 1.83702i
\(485\) 6.36161 0.288866
\(486\) −9.95108 1.14178i −0.451390 0.0517922i
\(487\) −4.70378 3.41750i −0.213149 0.154861i 0.476089 0.879397i \(-0.342054\pi\)
−0.689237 + 0.724536i \(0.742054\pi\)
\(488\) 46.6074 + 10.8381i 2.10982 + 0.490618i
\(489\) −21.0347 + 30.7623i −0.951223 + 1.39112i
\(490\) 9.16374 + 8.41040i 0.413975 + 0.379943i
\(491\) −18.9753 19.5252i −0.856345 0.881158i 0.137661 0.990479i \(-0.456041\pi\)
−0.994007 + 0.109321i \(0.965132\pi\)
\(492\) 29.5508 + 10.5437i 1.33225 + 0.475347i
\(493\) −11.9372 36.7389i −0.537624 1.65464i
\(494\) 13.2720 15.3166i 0.597133 0.689129i
\(495\) 0.932160 + 0.944850i 0.0418975 + 0.0424679i
\(496\) 9.41524 + 10.8658i 0.422757 + 0.487887i
\(497\) 19.8994 32.9994i 0.892609 1.48023i
\(498\) 13.9489 + 18.0892i 0.625064 + 0.810597i
\(499\) −6.74862 + 2.40790i −0.302110 + 0.107793i −0.482754 0.875756i \(-0.660364\pi\)
0.180644 + 0.983548i \(0.442182\pi\)
\(500\) 3.48416 + 1.71305i 0.155816 + 0.0766098i
\(501\) −3.62186 + 2.96158i −0.161813 + 0.132314i
\(502\) 0.852316 + 4.20635i 0.0380407 + 0.187738i
\(503\) −16.6961 0.954718i −0.744442 0.0425688i −0.319249 0.947671i \(-0.603430\pi\)
−0.425194 + 0.905102i \(0.639794\pi\)
\(504\) 4.68814 4.30273i 0.208826 0.191659i
\(505\) −0.135052 0.939308i −0.00600974 0.0417987i
\(506\) −20.4900 + 21.4034i −0.910891 + 0.951497i
\(507\) 2.65467 18.4636i 0.117898 0.819997i
\(508\) −24.2690 35.4923i −1.07676 1.57471i
\(509\) 3.05060 + 7.83540i 0.135215 + 0.347298i 0.983149 0.182804i \(-0.0585173\pi\)
−0.847934 + 0.530102i \(0.822154\pi\)
\(510\) −9.29162 + 12.0496i −0.411440 + 0.533565i
\(511\) 9.41698 28.9825i 0.416582 1.28211i
\(512\) 17.4936 + 29.0099i 0.773117 + 1.28207i
\(513\) 13.8933 35.6847i 0.613405 1.57552i
\(514\) −24.5810 + 5.71608i −1.08422 + 0.252125i
\(515\) −18.1531 7.67158i −0.799922 0.338050i
\(516\) 44.8438 + 28.8194i 1.97414 + 1.26870i
\(517\) −24.3101 + 28.4853i −1.06916 + 1.25278i
\(518\) 44.3108 28.4768i 1.94691 1.25120i
\(519\) 9.63573 1.66753i 0.422962 0.0731964i
\(520\) −0.467429 5.44217i −0.0204981 0.238655i
\(521\) 2.94551 34.2940i 0.129045 1.50245i −0.589954 0.807437i \(-0.700854\pi\)
0.718999 0.695011i \(-0.244600\pi\)
\(522\) 9.49534 + 1.64323i 0.415600 + 0.0719224i
\(523\) −23.1196 + 9.77043i −1.01095 + 0.427231i −0.830897 0.556426i \(-0.812172\pi\)
−0.180053 + 0.983657i \(0.557627\pi\)
\(524\) −16.5014 + 11.9889i −0.720866 + 0.523739i
\(525\) 4.88948 2.76122i 0.213395 0.120509i
\(526\) −1.35561 47.4525i −0.0591073 2.06903i
\(527\) 16.2215 4.76305i 0.706618 0.207482i
\(528\) 0.372284 17.6910i 0.0162016 0.769903i
\(529\) 9.05006 + 2.65734i 0.393481 + 0.115536i
\(530\) −6.71530 + 25.5477i −0.291694 + 1.10972i
\(531\) 0.410220 2.02451i 0.0178020 0.0878564i
\(532\) 44.0734 + 83.5284i 1.91082 + 3.62142i
\(533\) −0.171220 + 5.99347i −0.00741634 + 0.259606i
\(534\) −4.98339 18.9588i −0.215652 0.820426i
\(535\) 7.08120 0.404918i 0.306147 0.0175061i
\(536\) 31.9292 32.8544i 1.37913 1.41909i
\(537\) 22.8477 11.2335i 0.985952 0.484760i
\(538\) 21.7654 47.6595i 0.938372 2.05475i
\(539\) −8.67351 + 14.6311i −0.373594 + 0.630204i
\(540\) −8.84238 19.3621i −0.380515 0.833213i
\(541\) 8.20305 + 6.70760i 0.352676 + 0.288382i 0.792710 0.609599i \(-0.208670\pi\)
−0.440033 + 0.897982i \(0.645033\pi\)
\(542\) −26.2656 + 49.7789i −1.12821 + 2.13819i
\(543\) −2.87271 1.62229i −0.123280 0.0696192i
\(544\) 4.27651 0.490683i 0.183354 0.0210379i
\(545\) 14.2301 1.63275i 0.609551 0.0699395i
\(546\) −14.1871 8.01182i −0.607151 0.342874i
\(547\) −2.86279 + 5.42560i −0.122404 + 0.231982i −0.937996 0.346646i \(-0.887321\pi\)
0.815592 + 0.578628i \(0.196412\pi\)
\(548\) −17.0461 13.9386i −0.728175 0.595425i
\(549\) 1.74228 + 3.81507i 0.0743588 + 0.162823i
\(550\) −1.98640 + 7.79499i −0.0847005 + 0.332379i
\(551\) −28.8078 + 63.0802i −1.22725 + 2.68731i
\(552\) 24.3350 11.9647i 1.03577 0.509252i
\(553\) −8.70668 + 8.95897i −0.370246 + 0.380974i
\(554\) −1.37167 + 0.0784347i −0.0582765 + 0.00333237i
\(555\) −2.55610 9.72443i −0.108501 0.412779i
\(556\) 0.718071 25.1357i 0.0304530 1.06599i
\(557\) −1.25737 2.38298i −0.0532765 0.100970i 0.856353 0.516392i \(-0.172725\pi\)
−0.909629 + 0.415421i \(0.863634\pi\)
\(558\) −0.837540 + 4.13342i −0.0354559 + 0.174982i
\(559\) −2.58969 + 9.85219i −0.109532 + 0.416703i
\(560\) 11.0567 + 3.24653i 0.467229 + 0.137191i
\(561\) −18.7409 9.03995i −0.791242 0.381667i
\(562\) 34.8660 10.2376i 1.47073 0.431846i
\(563\) 0.139309 + 4.87646i 0.00587118 + 0.205518i 0.997232 + 0.0743543i \(0.0236896\pi\)
−0.991361 + 0.131164i \(0.958129\pi\)
\(564\) 61.5480 34.7578i 2.59164 1.46357i
\(565\) 4.46360 3.24299i 0.187785 0.136434i
\(566\) 36.8531 15.5743i 1.54905 0.654635i
\(567\) −26.2147 4.53664i −1.10091 0.190521i
\(568\) 4.32336 50.3360i 0.181404 2.11205i
\(569\) −0.942648 10.9750i −0.0395178 0.460098i −0.989168 0.146786i \(-0.953107\pi\)
0.949650 0.313312i \(-0.101438\pi\)
\(570\) 26.9154 4.65789i 1.12736 0.195097i
\(571\) 27.6517 17.7707i 1.15719 0.743679i 0.186130 0.982525i \(-0.440406\pi\)
0.971057 + 0.238846i \(0.0767692\pi\)
\(572\) 14.7478 4.45107i 0.616637 0.186109i
\(573\) 4.47015 + 2.87279i 0.186743 + 0.120012i
\(574\) −38.9948 16.4793i −1.62761 0.687834i
\(575\) −3.58773 + 0.834292i −0.149619 + 0.0347924i
\(576\) −1.35043 + 3.46856i −0.0562680 + 0.144523i
\(577\) −11.7294 19.4511i −0.488303 0.809759i 0.510439 0.859914i \(-0.329483\pi\)
−0.998741 + 0.0501548i \(0.984029\pi\)
\(578\) 1.39482 4.29282i 0.0580169 0.178558i
\(579\) −5.53609 + 7.17933i −0.230072 + 0.298363i
\(580\) 13.9850 + 35.9201i 0.580694 + 1.49150i
\(581\) −11.4820 16.7919i −0.476353 0.696643i
\(582\) 3.54054 24.6250i 0.146760 1.02074i
\(583\) −36.0777 1.79094i −1.49419 0.0741733i
\(584\) −5.68589 39.5462i −0.235284 1.63643i
\(585\) 0.352719 0.323723i 0.0145831 0.0133843i
\(586\) −51.0756 2.92061i −2.10991 0.120649i
\(587\) 1.22001 + 6.02101i 0.0503554 + 0.248514i 0.997352 0.0727312i \(-0.0231715\pi\)
−0.946996 + 0.321245i \(0.895899\pi\)
\(588\) 24.8531 20.3223i 1.02492 0.838076i
\(589\) −27.2359 13.3910i −1.12223 0.551766i
\(590\) 11.7911 4.20705i 0.485431 0.173201i
\(591\) −7.09389 9.19952i −0.291804 0.378418i
\(592\) 10.6553 17.6699i 0.437931 0.726227i
\(593\) −22.2396 25.6659i −0.913271 1.05397i −0.998340 0.0575954i \(-0.981657\pi\)
0.0850695 0.996375i \(-0.472889\pi\)
\(594\) 35.4828 26.1897i 1.45588 1.07457i
\(595\) 8.87355 10.2406i 0.363780 0.419825i
\(596\) 2.75913 + 8.49173i 0.113018 + 0.347835i
\(597\) 9.14144 + 3.26166i 0.374134 + 0.133491i
\(598\) 7.44869 + 7.66452i 0.304600 + 0.313426i
\(599\) 19.7694 + 18.1442i 0.807758 + 0.741353i 0.969397 0.245497i \(-0.0789510\pi\)
−0.161640 + 0.986850i \(0.551678\pi\)
\(600\) 4.15538 6.07705i 0.169643 0.248095i
\(601\) 33.7799 + 7.85517i 1.37791 + 0.320419i 0.849060 0.528297i \(-0.177169\pi\)
0.528849 + 0.848716i \(0.322624\pi\)
\(602\) −58.1877 42.2758i −2.37155 1.72303i
\(603\) 3.98933 + 0.457733i 0.162458 + 0.0186403i
\(604\) −21.6813 −0.882201
\(605\) −10.9903 0.462756i −0.446818 0.0188137i
\(606\) −3.71111 −0.150753
\(607\) 15.4136 + 1.76855i 0.625618 + 0.0717830i 0.421003 0.907059i \(-0.361678\pi\)
0.204616 + 0.978842i \(0.434406\pi\)
\(608\) −6.25165 4.54209i −0.253538 0.184206i
\(609\) 54.3010 + 12.6271i 2.20039 + 0.511678i
\(610\) −14.3474 + 20.9824i −0.580909 + 0.849552i
\(611\) 9.95182 + 9.13370i 0.402608 + 0.369510i
\(612\) −4.21328 4.33536i −0.170312 0.175247i
\(613\) 28.0614 + 10.0123i 1.13339 + 0.404392i 0.835108 0.550086i \(-0.185405\pi\)
0.298281 + 0.954478i \(0.403587\pi\)
\(614\) −9.05147 27.8576i −0.365287 1.12424i
\(615\) −5.29208 + 6.10739i −0.213397 + 0.246274i
\(616\) −4.11776 + 52.5761i −0.165909 + 2.11835i
\(617\) −5.37803 6.20658i −0.216511 0.249868i 0.637096 0.770785i \(-0.280136\pi\)
−0.853607 + 0.520917i \(0.825590\pi\)
\(618\) −39.7988 + 65.9989i −1.60094 + 2.65486i
\(619\) 1.90531 + 2.47085i 0.0765809 + 0.0993119i 0.828634 0.559790i \(-0.189118\pi\)
−0.752053 + 0.659102i \(0.770936\pi\)
\(620\) −15.8889 + 5.66913i −0.638112 + 0.227678i
\(621\) 18.1224 + 8.91017i 0.727226 + 0.357553i
\(622\) −23.4300 + 19.1586i −0.939456 + 0.768189i
\(623\) 3.46677 + 17.1092i 0.138893 + 0.685464i
\(624\) −6.37225 0.364378i −0.255094 0.0145868i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 0.831755 + 5.78499i 0.0332436 + 0.231215i
\(627\) 13.8132 + 34.7048i 0.551647 + 1.38598i
\(628\) 7.29934 50.7680i 0.291275 2.02586i
\(629\) −13.6952 20.0286i −0.546064 0.798594i
\(630\) 1.22638 + 3.14992i 0.0488600 + 0.125496i
\(631\) 4.11619 5.33797i 0.163863 0.212501i −0.702811 0.711377i \(-0.748072\pi\)
0.866673 + 0.498876i \(0.166254\pi\)
\(632\) −5.06128 + 15.5770i −0.201327 + 0.619621i
\(633\) 15.1959 + 25.1995i 0.603982 + 1.00159i
\(634\) 13.7603 35.3430i 0.546490 1.40365i
\(635\) 10.7865 2.50830i 0.428051 0.0995390i
\(636\) 62.8028 + 26.5407i 2.49029 + 1.05241i
\(637\) 5.16121 + 3.31691i 0.204495 + 0.131421i
\(638\) −66.8591 + 43.6816i −2.64698 + 1.72937i
\(639\) 3.72518 2.39403i 0.147366 0.0947062i
\(640\) −20.0480 + 3.46944i −0.792466 + 0.137142i
\(641\) 0.104296 + 1.21430i 0.00411944 + 0.0479618i 0.998103 0.0615693i \(-0.0196105\pi\)
−0.993983 + 0.109531i \(0.965065\pi\)
\(642\) 2.37364 27.6358i 0.0936801 1.09070i
\(643\) 30.0648 + 5.20292i 1.18564 + 0.205183i 0.729028 0.684483i \(-0.239972\pi\)
0.456611 + 0.889666i \(0.349063\pi\)
\(644\) −45.8762 + 19.3874i −1.80778 + 0.763972i
\(645\) −11.1076 + 8.07014i −0.437361 + 0.317761i
\(646\) 57.3954 32.4126i 2.25819 1.27526i
\(647\) −1.00815 35.2900i −0.0396346 1.38739i −0.739519 0.673136i \(-0.764947\pi\)
0.699884 0.714257i \(-0.253235\pi\)
\(648\) −33.4668 + 9.82673i −1.31470 + 0.386031i
\(649\) 8.95041 + 14.5933i 0.351334 + 0.572838i
\(650\) 2.78402 + 0.817461i 0.109198 + 0.0320635i
\(651\) −6.20267 + 23.5974i −0.243102 + 0.924855i
\(652\) 17.8204 87.9470i 0.697900 3.44427i
\(653\) −15.5960 29.5578i −0.610320 1.15668i −0.974295 0.225276i \(-0.927672\pi\)
0.363975 0.931409i \(-0.381419\pi\)
\(654\) 1.59955 55.9917i 0.0625475 2.18945i
\(655\) −1.33554 5.08091i −0.0521838 0.198528i
\(656\) −16.5569 + 0.946759i −0.646439 + 0.0369647i
\(657\) 2.44055 2.51127i 0.0952149 0.0979738i
\(658\) −85.5867 + 42.0801i −3.33652 + 1.64045i
\(659\) −13.6456 + 29.8796i −0.531555 + 1.16394i 0.433321 + 0.901240i \(0.357342\pi\)
−0.964876 + 0.262704i \(0.915386\pi\)
\(660\) 19.1851 + 7.93820i 0.746779 + 0.308994i
\(661\) −2.57153 5.63087i −0.100021 0.219015i 0.853006 0.521901i \(-0.174777\pi\)
−0.953027 + 0.302886i \(0.902050\pi\)
\(662\) 12.3650 + 10.1108i 0.480581 + 0.392969i
\(663\) −3.50248 + 6.63793i −0.136025 + 0.257796i
\(664\) −23.2224 13.1143i −0.901204 0.508933i
\(665\) −24.1666 + 2.77286i −0.937142 + 0.107527i
\(666\) 6.01322 0.689953i 0.233008 0.0267351i
\(667\) −31.8434 17.9828i −1.23298 0.696296i
\(668\) 5.25728 9.96366i 0.203410 0.385506i
\(669\) −16.8063 13.7424i −0.649767 0.531312i
\(670\) 10.1097 + 22.1372i 0.390572 + 0.855234i
\(671\) −32.1182 13.2895i −1.23991 0.513036i
\(672\) −2.58068 + 5.65091i −0.0995520 + 0.217989i
\(673\) 32.8815 16.1667i 1.26749 0.623182i 0.321354 0.946959i \(-0.395862\pi\)
0.946133 + 0.323777i \(0.104953\pi\)
\(674\) 42.2245 43.4480i 1.62643 1.67355i
\(675\) 5.47350 0.312986i 0.210675 0.0120468i
\(676\) 11.4185 + 43.4404i 0.439173 + 1.67079i
\(677\) −1.00382 + 35.1383i −0.0385800 + 1.35048i 0.717757 + 0.696294i \(0.245169\pi\)
−0.756337 + 0.654182i \(0.773013\pi\)
\(678\) −10.0690 19.0829i −0.386698 0.732875i
\(679\) −4.39973 + 21.7135i −0.168846 + 0.833289i
\(680\) 4.51622 17.1815i 0.173189 0.658879i
\(681\) 5.97009 + 1.75298i 0.228774 + 0.0671742i
\(682\) −18.2739 29.7950i −0.699745 1.14091i
\(683\) 3.22645 0.947372i 0.123457 0.0362502i −0.219421 0.975630i \(-0.570417\pi\)
0.342877 + 0.939380i \(0.388598\pi\)
\(684\) 0.309907 + 10.8482i 0.0118496 + 0.414790i
\(685\) 4.93837 2.78883i 0.188686 0.106556i
\(686\) 12.7899 9.29243i 0.488322 0.354787i
\(687\) −24.3569 + 10.2933i −0.929274 + 0.392715i
\(688\) −27.7629 4.80457i −1.05845 0.183172i
\(689\) −1.11500 + 12.9817i −0.0424779 + 0.494562i
\(690\) 1.23269 + 14.3520i 0.0469278 + 0.546371i
\(691\) −15.8046 + 2.73510i −0.601237 + 0.104048i −0.463011 0.886353i \(-0.653231\pi\)
−0.138226 + 0.990401i \(0.544140\pi\)
\(692\) −19.8090 + 12.7304i −0.753024 + 0.483939i
\(693\) −3.86966 + 2.52820i −0.146996 + 0.0960382i
\(694\) 32.7984 + 21.0783i 1.24501 + 0.800121i
\(695\) 5.96587 + 2.52120i 0.226298 + 0.0956345i
\(696\) 71.1912 16.5548i 2.69850 0.627509i
\(697\) −7.07508 + 18.1722i −0.267988 + 0.688321i
\(698\) 22.0244 + 36.5233i 0.833634 + 1.38243i
\(699\) 1.00504 3.09319i 0.0380140 0.116995i
\(700\) −8.25666 + 10.7074i −0.312072 + 0.404703i
\(701\) 9.98995 + 25.6590i 0.377315 + 0.969126i 0.984628 + 0.174664i \(0.0558838\pi\)
−0.607313 + 0.794463i \(0.707753\pi\)
\(702\) −8.97893 13.1313i −0.338888 0.495608i
\(703\) −6.19879 + 43.1135i −0.233792 + 1.62606i
\(704\) −11.4077 28.6612i −0.429945 1.08021i
\(705\) 2.59096 + 18.0205i 0.0975810 + 0.678691i
\(706\) −33.0747 + 30.3557i −1.24478 + 1.14245i
\(707\) 3.29946 + 0.188670i 0.124089 + 0.00709567i
\(708\) −6.41704 31.6694i −0.241167 1.19021i
\(709\) −17.7593 + 14.5217i −0.666964 + 0.545374i −0.904750 0.425944i \(-0.859942\pi\)
0.237785 + 0.971318i \(0.423578\pi\)
\(710\) 24.0836 + 11.8411i 0.903842 + 0.444389i
\(711\) −1.35208 + 0.482422i −0.0507070 + 0.0180922i
\(712\) 13.9758 + 18.1241i 0.523764 + 0.679230i
\(713\) 8.26495 13.7059i 0.309525 0.513289i
\(714\) −34.7016 40.0478i −1.29868 1.49875i
\(715\) −0.309806 + 3.95564i −0.0115861 + 0.147933i
\(716\) −40.1466 + 46.3316i −1.50035 + 1.73149i
\(717\) −0.388361 1.19525i −0.0145036 0.0446376i
\(718\) 49.0151 + 17.4886i 1.82923 + 0.652667i
\(719\) 25.6626 + 26.4061i 0.957052 + 0.984783i 0.999898 0.0142988i \(-0.00455161\pi\)
−0.0428461 + 0.999082i \(0.513643\pi\)
\(720\) 0.975578 + 0.895377i 0.0363576 + 0.0333687i
\(721\) 38.7395 56.6547i 1.44274 2.10993i
\(722\) −70.3695 16.3637i −2.61888 0.608995i
\(723\) −25.9796 18.8753i −0.966190 0.701978i
\(724\) 7.89227 + 0.905553i 0.293314 + 0.0336546i
\(725\) −9.92823 −0.368725
\(726\) −7.90788 + 42.2844i −0.293489 + 1.56932i
\(727\) −47.5369 −1.76305 −0.881523 0.472141i \(-0.843481\pi\)
−0.881523 + 0.472141i \(0.843481\pi\)
\(728\) 18.8986 + 2.16841i 0.700427 + 0.0803666i
\(729\) −23.9281 17.3847i −0.886224 0.643880i
\(730\) 20.6716 + 4.80698i 0.765091 + 0.177914i
\(731\) −18.7008 + 27.3490i −0.691674 + 1.01154i
\(732\) 48.3359 + 44.3623i 1.78655 + 1.63968i
\(733\) −11.3858 11.7157i −0.420544 0.432729i 0.473442 0.880825i \(-0.343011\pi\)
−0.893986 + 0.448096i \(0.852102\pi\)
\(734\) −25.5984 9.13350i −0.944855 0.337124i
\(735\) 2.55523 + 7.86418i 0.0942510 + 0.290075i
\(736\) 2.66861 3.07975i 0.0983664 0.113521i
\(737\) −26.7755 + 19.7628i −0.986288 + 0.727974i
\(738\) −3.18568 3.67647i −0.117267 0.135333i
\(739\) −13.8341 + 22.9412i −0.508894 + 0.843907i −0.999624 0.0274051i \(-0.991276\pi\)
0.490730 + 0.871312i \(0.336730\pi\)
\(740\) 14.7844 + 19.1728i 0.543487 + 0.704806i
\(741\) 12.6898 4.52771i 0.466171 0.166330i
\(742\) −82.5552 40.5897i −3.03070 1.49009i
\(743\) 40.3332 32.9803i 1.47968 1.20993i 0.553503 0.832848i \(-0.313291\pi\)
0.926180 0.377083i \(-0.123073\pi\)
\(744\) 6.35257 + 31.3512i 0.232896 + 1.14939i
\(745\) −2.29598 0.131289i −0.0841182 0.00481005i
\(746\) −12.0873 + 11.0937i −0.442549 + 0.406168i
\(747\) −0.332668 2.31376i −0.0121717 0.0846560i
\(748\) 50.0407 + 2.48408i 1.82967 + 0.0908269i
\(749\) −3.51533 + 24.4497i −0.128447 + 0.893372i
\(750\) 2.20736 + 3.22816i 0.0806013 + 0.117876i
\(751\) 13.7181 + 35.2347i 0.500581 + 1.28573i 0.924897 + 0.380218i \(0.124151\pi\)
−0.424316 + 0.905514i \(0.639485\pi\)
\(752\) −22.8145 + 29.5864i −0.831960 + 1.07891i
\(753\) −0.881686 + 2.71355i −0.0321304 + 0.0988873i
\(754\) 14.8760 + 24.6691i 0.541752 + 0.898395i
\(755\) 2.02605 5.20386i 0.0737354 0.189388i
\(756\) 72.2024 16.7900i 2.62598 0.610645i
\(757\) −33.1925 14.0273i −1.20640 0.509829i −0.309007 0.951060i \(-0.599997\pi\)
−0.897394 + 0.441231i \(0.854542\pi\)
\(758\) 75.6606 + 48.6241i 2.74812 + 1.76611i
\(759\) −18.8579 + 5.69154i −0.684497 + 0.206590i
\(760\) −26.8289 + 17.2419i −0.973185 + 0.625428i
\(761\) −36.6090 + 6.33544i −1.32708 + 0.229659i −0.789601 0.613621i \(-0.789712\pi\)
−0.537474 + 0.843280i \(0.680621\pi\)
\(762\) −3.70610 43.1494i −0.134258 1.56314i
\(763\) −4.26870 + 49.6996i −0.154537 + 1.79925i
\(764\) −12.6075 2.18182i −0.456124 0.0789353i
\(765\) 1.43427 0.606128i 0.0518562 0.0219146i
\(766\) −3.46773 + 2.51945i −0.125294 + 0.0910316i
\(767\) 5.37691 3.03648i 0.194149 0.109641i
\(768\) 1.41560 + 49.5526i 0.0510812 + 1.78807i
\(769\) −13.3853 + 3.93028i −0.482686 + 0.141729i −0.514018 0.857780i \(-0.671843\pi\)
0.0313317 + 0.999509i \(0.490025\pi\)
\(770\) −25.2321 12.1711i −0.909303 0.438615i
\(771\) −16.0978 4.72675i −0.579749 0.170230i
\(772\) 5.54960 21.1129i 0.199734 0.759869i
\(773\) 2.99160 14.7641i 0.107600 0.531028i