Properties

Label 690.2.w.a.37.8
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 37.8
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.a.373.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.877679 + 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-0.516511 - 2.17560i) q^{5} +(0.841254 + 0.540641i) q^{6} +(-1.41675 - 3.79846i) q^{7} +(0.0713392 + 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(0.877679 + 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-0.516511 - 2.17560i) q^{5} +(0.841254 + 0.540641i) q^{6} +(-1.41675 - 3.79846i) q^{7} +(0.0713392 + 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(0.589321 - 2.15701i) q^{10} +(0.380664 - 1.29642i) q^{11} +(0.479249 + 0.877679i) q^{12} +(-3.10788 - 1.15918i) q^{13} +(0.576955 - 4.01281i) q^{14} +(-0.359989 - 2.20690i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(1.22067 - 0.265541i) q^{17} +(0.800541 + 0.599278i) q^{18} +(6.03561 - 3.87885i) q^{19} +(1.55098 - 1.61073i) q^{20} +(-1.14216 - 3.88985i) q^{21} +(0.955409 - 0.955409i) q^{22} +(-1.15127 + 4.65560i) q^{23} +1.00000i q^{24} +(-4.46643 + 2.24744i) q^{25} +(-2.17219 - 2.50684i) q^{26} +(0.977147 + 0.212565i) q^{27} +(2.42951 - 3.24545i) q^{28} +(5.50536 - 8.56651i) q^{29} +(0.741699 - 2.10947i) q^{30} +(-4.64297 + 5.35827i) q^{31} +(-0.800541 + 0.599278i) q^{32} +(0.472179 - 1.26596i) q^{33} +(1.19862 + 0.351947i) q^{34} +(-7.53215 + 5.04423i) q^{35} +(0.415415 + 0.909632i) q^{36} +(4.71614 + 6.30002i) q^{37} +(7.15626 - 0.511826i) q^{38} +(-3.01727 - 1.37794i) q^{39} +(2.13321 - 0.670400i) q^{40} +(-0.384623 - 2.67511i) q^{41} +(0.861755 - 3.96142i) q^{42} +(0.0327711 - 0.458200i) q^{43} +(1.29642 - 0.380664i) q^{44} +(-0.201634 - 2.22696i) q^{45} +(-3.24163 + 3.53438i) q^{46} +(4.63739 + 4.63739i) q^{47} +(-0.479249 + 0.877679i) q^{48} +(-7.13087 + 6.17894i) q^{49} +(-4.99718 - 0.168005i) q^{50} +(1.23651 - 0.177783i) q^{51} +(-0.705083 - 3.24122i) q^{52} +(-0.204563 + 0.0762982i) q^{53} +(0.755750 + 0.654861i) q^{54} +(-3.01711 - 0.158555i) q^{55} +(3.68771 - 1.68412i) q^{56} +(6.29695 - 3.43839i) q^{57} +(8.93743 - 4.88021i) q^{58} +(7.48072 - 3.41633i) q^{59} +(1.66194 - 1.49598i) q^{60} +(8.31763 + 7.20727i) q^{61} +(-6.64298 + 2.47770i) q^{62} +(-0.861755 - 3.96142i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(-0.916652 + 7.36022i) q^{65} +(1.02113 - 0.884817i) q^{66} +(-5.54092 + 10.1474i) q^{67} +(0.883334 + 0.883334i) q^{68} +(-1.48046 + 4.56161i) q^{69} +(-9.02825 + 0.817438i) q^{70} +(-3.52204 + 1.03416i) q^{71} +(-0.0713392 + 0.997452i) q^{72} +(-2.22874 + 10.2453i) q^{73} +(1.11998 + 7.78960i) q^{74} +(-4.61538 + 1.92308i) q^{75} +(6.52619 + 2.98041i) q^{76} +(-5.46371 + 0.390772i) q^{77} +(-1.98782 - 2.65541i) q^{78} +(-4.99225 - 10.9315i) q^{79} +(2.19356 + 0.433940i) q^{80} +(0.959493 + 0.281733i) q^{81} +(0.944469 - 2.53222i) q^{82} +(5.17838 - 3.87649i) q^{83} +(2.65485 - 3.06386i) q^{84} +(-1.20820 - 2.51854i) q^{85} +(0.248355 - 0.386447i) q^{86} +(6.10246 - 8.15193i) q^{87} +(1.32027 + 0.287208i) q^{88} +(8.78742 + 10.1412i) q^{89} +(0.890298 - 2.05119i) q^{90} +13.4474i q^{91} +(-4.53896 + 1.54850i) q^{92} +(-5.01339 + 5.01339i) q^{93} +(1.84767 + 6.29260i) q^{94} +(-11.5563 - 11.1276i) q^{95} +(-0.841254 + 0.540641i) q^{96} +(-2.05711 - 1.53994i) q^{97} +(-9.21986 + 2.00566i) q^{98} +(0.561289 - 1.22905i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.877679 + 0.479249i 0.620613 + 0.338880i
\(3\) 0.997452 + 0.0713392i 0.575879 + 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) −0.516511 2.17560i −0.230991 0.972956i
\(6\) 0.841254 + 0.540641i 0.343440 + 0.220716i
\(7\) −1.41675 3.79846i −0.535482 1.43568i −0.869886 0.493253i \(-0.835808\pi\)
0.334403 0.942430i \(-0.391465\pi\)
\(8\) 0.0713392 + 0.997452i 0.0252222 + 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) 0.589321 2.15701i 0.186360 0.682107i
\(11\) 0.380664 1.29642i 0.114774 0.390886i −0.881990 0.471269i \(-0.843796\pi\)
0.996764 + 0.0803831i \(0.0256144\pi\)
\(12\) 0.479249 + 0.877679i 0.138347 + 0.253364i
\(13\) −3.10788 1.15918i −0.861971 0.321499i −0.120687 0.992691i \(-0.538510\pi\)
−0.741284 + 0.671192i \(0.765783\pi\)
\(14\) 0.576955 4.01281i 0.154198 1.07247i
\(15\) −0.359989 2.20690i −0.0929489 0.569819i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) 1.22067 0.265541i 0.296057 0.0644032i −0.0620836 0.998071i \(-0.519775\pi\)
0.358140 + 0.933668i \(0.383411\pi\)
\(18\) 0.800541 + 0.599278i 0.188689 + 0.141251i
\(19\) 6.03561 3.87885i 1.38466 0.889869i 0.385207 0.922830i \(-0.374130\pi\)
0.999457 + 0.0329607i \(0.0104936\pi\)
\(20\) 1.55098 1.61073i 0.346810 0.360171i
\(21\) −1.14216 3.88985i −0.249241 0.848836i
\(22\) 0.955409 0.955409i 0.203694 0.203694i
\(23\) −1.15127 + 4.65560i −0.240056 + 0.970759i
\(24\) 1.00000i 0.204124i
\(25\) −4.46643 + 2.24744i −0.893287 + 0.449487i
\(26\) −2.17219 2.50684i −0.426001 0.491631i
\(27\) 0.977147 + 0.212565i 0.188052 + 0.0409082i
\(28\) 2.42951 3.24545i 0.459135 0.613333i
\(29\) 5.50536 8.56651i 1.02232 1.59076i 0.237157 0.971471i \(-0.423785\pi\)
0.785163 0.619289i \(-0.212579\pi\)
\(30\) 0.741699 2.10947i 0.135415 0.385136i
\(31\) −4.64297 + 5.35827i −0.833902 + 0.962374i −0.999717 0.0237829i \(-0.992429\pi\)
0.165815 + 0.986157i \(0.446974\pi\)
\(32\) −0.800541 + 0.599278i −0.141517 + 0.105938i
\(33\) 0.472179 1.26596i 0.0821959 0.220376i
\(34\) 1.19862 + 0.351947i 0.205562 + 0.0603583i
\(35\) −7.53215 + 5.04423i −1.27317 + 0.852630i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) 4.71614 + 6.30002i 0.775328 + 1.03572i 0.998147 + 0.0608568i \(0.0193833\pi\)
−0.222819 + 0.974860i \(0.571526\pi\)
\(38\) 7.15626 0.511826i 1.16090 0.0830291i
\(39\) −3.01727 1.37794i −0.483149 0.220647i
\(40\) 2.13321 0.670400i 0.337289 0.106000i
\(41\) −0.384623 2.67511i −0.0600680 0.417782i −0.997562 0.0697816i \(-0.977770\pi\)
0.937494 0.348001i \(-0.113139\pi\)
\(42\) 0.861755 3.96142i 0.132972 0.611261i
\(43\) 0.0327711 0.458200i 0.00499755 0.0698749i −0.994341 0.106233i \(-0.966121\pi\)
0.999339 + 0.0363580i \(0.0115756\pi\)
\(44\) 1.29642 0.380664i 0.195443 0.0573872i
\(45\) −0.201634 2.22696i −0.0300578 0.331975i
\(46\) −3.24163 + 3.53438i −0.477953 + 0.521115i
\(47\) 4.63739 + 4.63739i 0.676433 + 0.676433i 0.959191 0.282759i \(-0.0912495\pi\)
−0.282759 + 0.959191i \(0.591250\pi\)
\(48\) −0.479249 + 0.877679i −0.0691736 + 0.126682i
\(49\) −7.13087 + 6.17894i −1.01870 + 0.882705i
\(50\) −4.99718 0.168005i −0.706707 0.0237596i
\(51\) 1.23651 0.177783i 0.173146 0.0248946i
\(52\) −0.705083 3.24122i −0.0977775 0.449476i
\(53\) −0.204563 + 0.0762982i −0.0280989 + 0.0104804i −0.363474 0.931604i \(-0.618410\pi\)
0.335375 + 0.942085i \(0.391137\pi\)
\(54\) 0.755750 + 0.654861i 0.102844 + 0.0891153i
\(55\) −3.01711 0.158555i −0.406826 0.0213795i
\(56\) 3.68771 1.68412i 0.492791 0.225050i
\(57\) 6.29695 3.43839i 0.834051 0.455426i
\(58\) 8.93743 4.88021i 1.17354 0.640802i
\(59\) 7.48072 3.41633i 0.973907 0.444769i 0.136076 0.990698i \(-0.456551\pi\)
0.837831 + 0.545930i \(0.183823\pi\)
\(60\) 1.66194 1.49598i 0.214555 0.193131i
\(61\) 8.31763 + 7.20727i 1.06496 + 0.922796i 0.997191 0.0749049i \(-0.0238653\pi\)
0.0677725 + 0.997701i \(0.478411\pi\)
\(62\) −6.64298 + 2.47770i −0.843660 + 0.314669i
\(63\) −0.861755 3.96142i −0.108571 0.499092i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) −0.916652 + 7.36022i −0.113697 + 0.912923i
\(66\) 1.02113 0.884817i 0.125693 0.108913i
\(67\) −5.54092 + 10.1474i −0.676932 + 1.23971i 0.282905 + 0.959148i \(0.408702\pi\)
−0.959837 + 0.280560i \(0.909480\pi\)
\(68\) 0.883334 + 0.883334i 0.107120 + 0.107120i
\(69\) −1.48046 + 4.56161i −0.178226 + 0.549153i
\(70\) −9.02825 + 0.817438i −1.07908 + 0.0977025i
\(71\) −3.52204 + 1.03416i −0.417989 + 0.122733i −0.483963 0.875089i \(-0.660803\pi\)
0.0659734 + 0.997821i \(0.478985\pi\)
\(72\) −0.0713392 + 0.997452i −0.00840740 + 0.117551i
\(73\) −2.22874 + 10.2453i −0.260854 + 1.19913i 0.641156 + 0.767411i \(0.278455\pi\)
−0.902010 + 0.431715i \(0.857908\pi\)
\(74\) 1.11998 + 7.78960i 0.130194 + 0.905522i
\(75\) −4.61538 + 1.92308i −0.532939 + 0.222058i
\(76\) 6.52619 + 2.98041i 0.748606 + 0.341877i
\(77\) −5.46371 + 0.390772i −0.622648 + 0.0445326i
\(78\) −1.98782 2.65541i −0.225076 0.300666i
\(79\) −4.99225 10.9315i −0.561672 1.22989i −0.951114 0.308839i \(-0.900060\pi\)
0.389443 0.921051i \(-0.372668\pi\)
\(80\) 2.19356 + 0.433940i 0.245247 + 0.0485160i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) 0.944469 2.53222i 0.104299 0.279637i
\(83\) 5.17838 3.87649i 0.568401 0.425500i −0.276041 0.961146i \(-0.589023\pi\)
0.844443 + 0.535646i \(0.179932\pi\)
\(84\) 2.65485 3.06386i 0.289668 0.334295i
\(85\) −1.20820 2.51854i −0.131048 0.273174i
\(86\) 0.248355 0.386447i 0.0267808 0.0416717i
\(87\) 6.10246 8.15193i 0.654252 0.873979i
\(88\) 1.32027 + 0.287208i 0.140742 + 0.0306165i
\(89\) 8.78742 + 10.1412i 0.931464 + 1.07497i 0.997022 + 0.0771181i \(0.0245719\pi\)
−0.0655578 + 0.997849i \(0.520883\pi\)
\(90\) 0.890298 2.05119i 0.0938456 0.216214i
\(91\) 13.4474i 1.40967i
\(92\) −4.53896 + 1.54850i −0.473219 + 0.161442i
\(93\) −5.01339 + 5.01339i −0.519865 + 0.519865i
\(94\) 1.84767 + 6.29260i 0.190573 + 0.649032i
\(95\) −11.5563 11.1276i −1.18565 1.14167i
\(96\) −0.841254 + 0.540641i −0.0858601 + 0.0551789i
\(97\) −2.05711 1.53994i −0.208868 0.156357i 0.489722 0.871878i \(-0.337098\pi\)
−0.698591 + 0.715522i \(0.746189\pi\)
\(98\) −9.21986 + 2.00566i −0.931347 + 0.202602i
\(99\) 0.561289 1.22905i 0.0564117 0.123524i
\(100\) −4.30540 2.54235i −0.430540 0.254235i
\(101\) 1.25693 8.74215i 0.125069 0.869876i −0.826608 0.562778i \(-0.809733\pi\)
0.951678 0.307099i \(-0.0993582\pi\)
\(102\) 1.17046 + 0.436558i 0.115893 + 0.0432257i
\(103\) −7.20394 13.1930i −0.709825 1.29995i −0.944705 0.327923i \(-0.893651\pi\)
0.234880 0.972024i \(-0.424530\pi\)
\(104\) 0.934512 3.18266i 0.0916365 0.312085i
\(105\) −7.87281 + 4.49404i −0.768307 + 0.438573i
\(106\) −0.216107 0.0310715i −0.0209901 0.00301793i
\(107\) −0.276704 3.86882i −0.0267500 0.374013i −0.993140 0.116933i \(-0.962694\pi\)
0.966390 0.257081i \(-0.0827607\pi\)
\(108\) 0.349464 + 0.936950i 0.0336272 + 0.0901580i
\(109\) −16.1864 10.4024i −1.55038 0.996367i −0.985202 0.171397i \(-0.945172\pi\)
−0.565176 0.824971i \(-0.691192\pi\)
\(110\) −2.57206 1.58510i −0.245237 0.151134i
\(111\) 4.25468 + 6.62041i 0.403836 + 0.628382i
\(112\) 4.04374 + 0.289214i 0.382098 + 0.0273282i
\(113\) 15.1432 + 8.26880i 1.42455 + 0.777863i 0.992296 0.123889i \(-0.0395366\pi\)
0.432254 + 0.901752i \(0.357718\pi\)
\(114\) 7.17454 0.671958
\(115\) 10.7233 + 0.100023i 0.999957 + 0.00932721i
\(116\) 10.1830 0.945470
\(117\) −2.91128 1.58968i −0.269148 0.146966i
\(118\) 8.20295 + 0.586686i 0.755143 + 0.0540089i
\(119\) −2.73804 4.26048i −0.250996 0.390557i
\(120\) 2.17560 0.516511i 0.198604 0.0471508i
\(121\) 7.71799 + 4.96005i 0.701635 + 0.450913i
\(122\) 3.84613 + 10.3119i 0.348213 + 0.933594i
\(123\) −0.192803 2.69573i −0.0173844 0.243066i
\(124\) −7.01784 1.00901i −0.630221 0.0906121i
\(125\) 7.19647 + 8.55633i 0.643672 + 0.765301i
\(126\) 1.14216 3.88985i 0.101752 0.346536i
\(127\) −4.88465 8.94557i −0.433442 0.793791i 0.566091 0.824343i \(-0.308455\pi\)
−0.999533 + 0.0305523i \(0.990273\pi\)
\(128\) −0.936950 0.349464i −0.0828154 0.0308886i
\(129\) 0.0653753 0.454695i 0.00575597 0.0400337i
\(130\) −4.33191 + 6.02061i −0.379933 + 0.528042i
\(131\) 0.800808 1.75352i 0.0699669 0.153206i −0.871417 0.490542i \(-0.836799\pi\)
0.941384 + 0.337336i \(0.109526\pi\)
\(132\) 1.32027 0.287208i 0.114915 0.0249983i
\(133\) −23.2846 17.4307i −2.01903 1.51143i
\(134\) −9.72630 + 6.25072i −0.840225 + 0.539980i
\(135\) −0.0422507 2.23567i −0.00363636 0.192416i
\(136\) 0.351947 + 1.19862i 0.0301792 + 0.102781i
\(137\) 0.655626 0.655626i 0.0560139 0.0560139i −0.678545 0.734559i \(-0.737389\pi\)
0.734559 + 0.678545i \(0.237389\pi\)
\(138\) −3.48551 + 3.29412i −0.296707 + 0.280414i
\(139\) 15.5586i 1.31967i 0.751412 + 0.659833i \(0.229373\pi\)
−0.751412 + 0.659833i \(0.770627\pi\)
\(140\) −8.31566 3.60933i −0.702802 0.305044i
\(141\) 4.29474 + 4.95640i 0.361683 + 0.417404i
\(142\) −3.58684 0.780270i −0.301001 0.0654788i
\(143\) −2.68584 + 3.58786i −0.224601 + 0.300032i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) −21.4808 7.55274i −1.78389 0.627221i
\(146\) −6.86618 + 7.92400i −0.568249 + 0.655795i
\(147\) −7.55350 + 5.65448i −0.623002 + 0.466374i
\(148\) −2.75018 + 7.37351i −0.226063 + 0.606099i
\(149\) −0.442108 0.129815i −0.0362189 0.0106348i 0.263573 0.964639i \(-0.415099\pi\)
−0.299792 + 0.954005i \(0.596917\pi\)
\(150\) −4.97246 0.524072i −0.406000 0.0427903i
\(151\) 1.65445 + 3.62274i 0.134637 + 0.294814i 0.964927 0.262517i \(-0.0845526\pi\)
−0.830290 + 0.557331i \(0.811825\pi\)
\(152\) 4.29954 + 5.74352i 0.348739 + 0.465861i
\(153\) 1.24604 0.0891185i 0.100736 0.00720480i
\(154\) −4.98266 2.27551i −0.401514 0.183365i
\(155\) 14.0556 + 7.33362i 1.12897 + 0.589050i
\(156\) −0.472061 3.28326i −0.0377951 0.262871i
\(157\) −3.34623 + 15.3824i −0.267058 + 1.22765i 0.626759 + 0.779213i \(0.284381\pi\)
−0.893817 + 0.448432i \(0.851982\pi\)
\(158\) 0.857318 11.9869i 0.0682046 0.953625i
\(159\) −0.209485 + 0.0615104i −0.0166132 + 0.00487809i
\(160\) 1.71727 + 1.43212i 0.135762 + 0.113219i
\(161\) 19.3152 2.22279i 1.52225 0.175181i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) −6.00597 + 10.9991i −0.470424 + 0.861517i 0.529489 + 0.848317i \(0.322384\pi\)
−0.999913 + 0.0132000i \(0.995798\pi\)
\(164\) 2.04250 1.76984i 0.159493 0.138201i
\(165\) −2.99811 0.373389i −0.233402 0.0290683i
\(166\) 6.40276 0.920578i 0.496951 0.0714507i
\(167\) −2.15623 9.91203i −0.166854 0.767016i −0.982169 0.187999i \(-0.939800\pi\)
0.815315 0.579017i \(-0.196564\pi\)
\(168\) 3.79846 1.41675i 0.293058 0.109305i
\(169\) −1.50952 1.30801i −0.116117 0.100616i
\(170\) 0.146593 2.78950i 0.0112432 0.213945i
\(171\) 6.52619 2.98041i 0.499071 0.227918i
\(172\) 0.403180 0.220153i 0.0307422 0.0167865i
\(173\) −0.940615 + 0.513615i −0.0715136 + 0.0390494i −0.514608 0.857426i \(-0.672063\pi\)
0.443094 + 0.896475i \(0.353881\pi\)
\(174\) 9.26281 4.23018i 0.702212 0.320689i
\(175\) 14.8646 + 13.7815i 1.12366 + 1.04178i
\(176\) 1.02113 + 0.884817i 0.0769708 + 0.0666956i
\(177\) 7.70538 2.87396i 0.579172 0.216020i
\(178\) 2.85236 + 13.1121i 0.213794 + 0.982793i
\(179\) 8.36854 1.20321i 0.625494 0.0899324i 0.177723 0.984081i \(-0.443127\pi\)
0.447771 + 0.894148i \(0.352218\pi\)
\(180\) 1.76443 1.37361i 0.131512 0.102383i
\(181\) −2.11421 + 1.83198i −0.157148 + 0.136170i −0.729886 0.683569i \(-0.760427\pi\)
0.572738 + 0.819739i \(0.305881\pi\)
\(182\) −6.44467 + 11.8025i −0.477711 + 0.874862i
\(183\) 7.78228 + 7.78228i 0.575282 + 0.575282i
\(184\) −4.72587 0.816206i −0.348395 0.0601715i
\(185\) 11.2704 13.5144i 0.828613 0.993601i
\(186\) −6.80281 + 1.99749i −0.498807 + 0.146463i
\(187\) 0.120413 1.68359i 0.00880545 0.123116i
\(188\) −1.39406 + 6.40838i −0.101672 + 0.467379i
\(189\) −0.576955 4.01281i −0.0419673 0.291889i
\(190\) −4.80981 15.3048i −0.348941 1.11032i
\(191\) −9.33107 4.26136i −0.675172 0.308341i 0.0481613 0.998840i \(-0.484664\pi\)
−0.723334 + 0.690499i \(0.757391\pi\)
\(192\) −0.997452 + 0.0713392i −0.0719849 + 0.00514846i
\(193\) 4.65283 + 6.21546i 0.334918 + 0.447398i 0.936110 0.351706i \(-0.114398\pi\)
−0.601192 + 0.799104i \(0.705307\pi\)
\(194\) −1.06747 2.33744i −0.0766401 0.167818i
\(195\) −1.43939 + 7.27607i −0.103077 + 0.521051i
\(196\) −9.05329 2.65829i −0.646664 0.189878i
\(197\) −1.78616 + 4.78888i −0.127259 + 0.341194i −0.984917 0.173026i \(-0.944646\pi\)
0.857659 + 0.514220i \(0.171918\pi\)
\(198\) 1.08165 0.809715i 0.0768697 0.0575440i
\(199\) 14.9576 17.2620i 1.06032 1.22367i 0.0865187 0.996250i \(-0.472426\pi\)
0.973797 0.227419i \(-0.0730288\pi\)
\(200\) −2.56034 4.29472i −0.181044 0.303683i
\(201\) −6.25072 + 9.72630i −0.440892 + 0.686041i
\(202\) 5.29285 7.07042i 0.372404 0.497473i
\(203\) −40.3393 8.77527i −2.83126 0.615903i
\(204\) 0.818067 + 0.944099i 0.0572761 + 0.0661002i
\(205\) −5.62130 + 2.21851i −0.392609 + 0.154947i
\(206\) 15.0317i 1.04731i
\(207\) −1.80211 + 4.44437i −0.125255 + 0.308905i
\(208\) 2.34549 2.34549i 0.162630 0.162630i
\(209\) −2.73109 9.30123i −0.188913 0.643379i
\(210\) −9.06356 + 0.171287i −0.625445 + 0.0118199i
\(211\) −15.8774 + 10.2038i −1.09304 + 0.702456i −0.957534 0.288321i \(-0.906903\pi\)
−0.135508 + 0.990776i \(0.543267\pi\)
\(212\) −0.174781 0.130840i −0.0120040 0.00898611i
\(213\) −3.58684 + 0.780270i −0.245766 + 0.0534632i
\(214\) 1.61127 3.52820i 0.110144 0.241183i
\(215\) −1.01379 + 0.165369i −0.0691396 + 0.0112781i
\(216\) −0.142315 + 0.989821i −0.00968330 + 0.0673488i
\(217\) 26.9311 + 10.0448i 1.82820 + 0.681885i
\(218\) −9.22115 16.8873i −0.624535 1.14375i
\(219\) −2.95395 + 10.0602i −0.199610 + 0.679808i
\(220\) −1.49779 2.62387i −0.100981 0.176901i
\(221\) −4.10152 0.589709i −0.275898 0.0396681i
\(222\) 0.561418 + 7.84965i 0.0376799 + 0.526834i
\(223\) 1.52135 + 4.07890i 0.101877 + 0.273144i 0.977881 0.209160i \(-0.0670729\pi\)
−0.876004 + 0.482304i \(0.839800\pi\)
\(224\) 3.41050 + 2.19180i 0.227874 + 0.146446i
\(225\) −4.74082 + 1.58892i −0.316054 + 0.105928i
\(226\) 9.32803 + 14.5147i 0.620491 + 0.965504i
\(227\) −18.9136 1.35273i −1.25534 0.0897838i −0.572227 0.820095i \(-0.693921\pi\)
−0.683115 + 0.730311i \(0.739375\pi\)
\(228\) 6.29695 + 3.43839i 0.417025 + 0.227713i
\(229\) 24.0345 1.58824 0.794122 0.607758i \(-0.207931\pi\)
0.794122 + 0.607758i \(0.207931\pi\)
\(230\) 9.36371 + 5.22694i 0.617425 + 0.344654i
\(231\) −5.47767 −0.360404
\(232\) 8.93743 + 4.88021i 0.586771 + 0.320401i
\(233\) −15.0105 1.07357i −0.983369 0.0703319i −0.429615 0.903012i \(-0.641351\pi\)
−0.553754 + 0.832680i \(0.686805\pi\)
\(234\) −1.79332 2.79045i −0.117233 0.182418i
\(235\) 7.69382 12.4843i 0.501889 0.814389i
\(236\) 6.91839 + 4.44618i 0.450349 + 0.289421i
\(237\) −4.19968 11.2598i −0.272799 0.731402i
\(238\) −0.361293 5.05153i −0.0234191 0.327442i
\(239\) −6.31714 0.908268i −0.408622 0.0587510i −0.0650608 0.997881i \(-0.520724\pi\)
−0.343561 + 0.939130i \(0.611633\pi\)
\(240\) 2.15701 + 0.589321i 0.139235 + 0.0380405i
\(241\) −4.67069 + 15.9069i −0.300865 + 1.02465i 0.660831 + 0.750535i \(0.270204\pi\)
−0.961696 + 0.274118i \(0.911614\pi\)
\(242\) 4.39682 + 8.05217i 0.282638 + 0.517613i
\(243\) 0.936950 + 0.349464i 0.0601054 + 0.0224181i
\(244\) −1.56629 + 10.8938i −0.100271 + 0.697403i
\(245\) 17.1260 + 12.3224i 1.09414 + 0.787250i
\(246\) 1.12271 2.45839i 0.0715813 0.156741i
\(247\) −23.2542 + 5.05865i −1.47963 + 0.321874i
\(248\) −5.67584 4.24888i −0.360417 0.269804i
\(249\) 5.44173 3.49719i 0.344856 0.221625i
\(250\) 2.21558 + 10.9586i 0.140126 + 0.693084i
\(251\) −4.73664 16.1315i −0.298974 1.01821i −0.962775 0.270303i \(-0.912876\pi\)
0.663801 0.747909i \(-0.268942\pi\)
\(252\) 2.86666 2.86666i 0.180583 0.180583i
\(253\) 5.59737 + 3.26474i 0.351904 + 0.205253i
\(254\) 10.1923i 0.639522i
\(255\) −1.02545 2.59831i −0.0642163 0.162713i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 18.5700 + 4.03966i 1.15837 + 0.251987i 0.750384 0.661002i \(-0.229869\pi\)
0.407983 + 0.912990i \(0.366232\pi\)
\(258\) 0.275291 0.367745i 0.0171389 0.0228948i
\(259\) 17.2488 26.8396i 1.07179 1.66773i
\(260\) −6.68739 + 3.20810i −0.414734 + 0.198958i
\(261\) 6.66846 7.69582i 0.412768 0.476359i
\(262\) 1.54323 1.15525i 0.0953409 0.0713713i
\(263\) 5.27210 14.1351i 0.325092 0.871605i −0.666882 0.745163i \(-0.732372\pi\)
0.991974 0.126442i \(-0.0403556\pi\)
\(264\) 1.29642 + 0.380664i 0.0797892 + 0.0234282i
\(265\) 0.271653 + 0.405638i 0.0166875 + 0.0249182i
\(266\) −12.0828 26.4577i −0.740844 1.62222i
\(267\) 8.04156 + 10.7423i 0.492135 + 0.657416i
\(268\) −11.5322 + 0.824801i −0.704443 + 0.0503827i
\(269\) 13.7734 + 6.29008i 0.839776 + 0.383513i 0.788397 0.615166i \(-0.210911\pi\)
0.0513789 + 0.998679i \(0.483638\pi\)
\(270\) 1.03436 1.98245i 0.0629491 0.120648i
\(271\) −0.131221 0.912665i −0.00797113 0.0554404i 0.985448 0.169979i \(-0.0543701\pi\)
−0.993419 + 0.114539i \(0.963461\pi\)
\(272\) −0.265541 + 1.22067i −0.0161008 + 0.0740142i
\(273\) −0.959329 + 13.4132i −0.0580612 + 0.811802i
\(274\) 0.889637 0.261221i 0.0537449 0.0157809i
\(275\) 1.21342 + 6.64590i 0.0731717 + 0.400763i
\(276\) −4.63786 + 1.22075i −0.279167 + 0.0734804i
\(277\) 8.26888 + 8.26888i 0.496829 + 0.496829i 0.910449 0.413621i \(-0.135736\pi\)
−0.413621 + 0.910449i \(0.635736\pi\)
\(278\) −7.45646 + 13.6555i −0.447209 + 0.819002i
\(279\) −5.35827 + 4.64297i −0.320791 + 0.277967i
\(280\) −5.56871 7.15311i −0.332794 0.427480i
\(281\) 24.3223 3.49702i 1.45095 0.208615i 0.628656 0.777684i \(-0.283605\pi\)
0.822290 + 0.569069i \(0.192696\pi\)
\(282\) 1.39406 + 6.40838i 0.0830149 + 0.381613i
\(283\) −9.39274 + 3.50331i −0.558341 + 0.208250i −0.612762 0.790268i \(-0.709941\pi\)
0.0544211 + 0.998518i \(0.482669\pi\)
\(284\) −2.77415 2.40382i −0.164616 0.142640i
\(285\) −10.7330 11.9236i −0.635768 0.706296i
\(286\) −4.07679 + 1.86181i −0.241066 + 0.110091i
\(287\) −9.61639 + 5.25095i −0.567638 + 0.309954i
\(288\) −0.877679 + 0.479249i −0.0517177 + 0.0282400i
\(289\) −14.0442 + 6.41378i −0.826130 + 0.377281i
\(290\) −15.2336 16.9236i −0.894550 0.993785i
\(291\) −1.94201 1.68277i −0.113843 0.0986455i
\(292\) −9.82387 + 3.66412i −0.574899 + 0.214426i
\(293\) 3.49851 + 16.0824i 0.204385 + 0.939544i 0.959007 + 0.283384i \(0.0914570\pi\)
−0.754621 + 0.656161i \(0.772179\pi\)
\(294\) −9.33946 + 1.34281i −0.544688 + 0.0783143i
\(295\) −11.2964 14.5105i −0.657704 0.844832i
\(296\) −5.94752 + 5.15356i −0.345693 + 0.299544i
\(297\) 0.647538 1.18588i 0.0375740 0.0688116i
\(298\) −0.325816 0.325816i −0.0188740 0.0188740i
\(299\) 8.97467 13.1345i 0.519019 0.759589i
\(300\) −4.11306 2.84301i −0.237468 0.164141i
\(301\) −1.78689 + 0.524677i −0.102994 + 0.0302419i
\(302\) −0.284118 + 3.97250i −0.0163492 + 0.228591i
\(303\) 1.87739 8.63021i 0.107853 0.495792i
\(304\) 1.02104 + 7.10152i 0.0585609 + 0.407300i
\(305\) 11.3840 21.8184i 0.651843 1.24932i
\(306\) 1.13633 + 0.518946i 0.0649598 + 0.0296662i
\(307\) 18.5737 1.32842i 1.06006 0.0758170i 0.469596 0.882881i \(-0.344399\pi\)
0.590464 + 0.807064i \(0.298945\pi\)
\(308\) −3.28264 4.38510i −0.187046 0.249864i
\(309\) −6.24440 13.6733i −0.355232 0.777849i
\(310\) 8.82165 + 13.1727i 0.501036 + 0.748158i
\(311\) 22.3717 + 6.56892i 1.26858 + 0.372489i 0.845682 0.533687i \(-0.179194\pi\)
0.422900 + 0.906176i \(0.361012\pi\)
\(312\) 1.15918 3.10788i 0.0656256 0.175949i
\(313\) 4.26102 3.18976i 0.240847 0.180296i −0.472035 0.881580i \(-0.656480\pi\)
0.712882 + 0.701284i \(0.247389\pi\)
\(314\) −10.3089 + 11.8971i −0.581764 + 0.671392i
\(315\) −8.17335 + 3.92095i −0.460516 + 0.220920i
\(316\) 6.49715 10.1098i 0.365493 0.568718i
\(317\) −3.91709 + 5.23262i −0.220006 + 0.293893i −0.896942 0.442148i \(-0.854216\pi\)
0.676936 + 0.736042i \(0.263307\pi\)
\(318\) −0.213339 0.0464092i −0.0119635 0.00260250i
\(319\) −9.01011 10.3982i −0.504469 0.582189i
\(320\) 0.820873 + 2.07994i 0.0458882 + 0.116272i
\(321\) 3.87871i 0.216488i
\(322\) 18.0178 + 7.30588i 1.00409 + 0.407141i
\(323\) 6.33752 6.33752i 0.352629 0.352629i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) 16.4863 1.80737i 0.914497 0.100255i
\(326\) −10.5426 + 6.77533i −0.583902 + 0.375251i
\(327\) −15.4031 11.5306i −0.851792 0.637644i
\(328\) 2.64086 0.574483i 0.145817 0.0317205i
\(329\) 11.0449 24.1850i 0.608925 1.33336i
\(330\) −2.45243 1.76455i −0.135002 0.0971355i
\(331\) 0.184112 1.28053i 0.0101197 0.0703841i −0.984136 0.177417i \(-0.943226\pi\)
0.994255 + 0.107033i \(0.0341350\pi\)
\(332\) 6.06075 + 2.26054i 0.332627 + 0.124064i
\(333\) 3.77155 + 6.90707i 0.206679 + 0.378505i
\(334\) 2.85785 9.73295i 0.156375 0.532563i
\(335\) 24.9387 + 6.81355i 1.36255 + 0.372264i
\(336\) 4.01281 + 0.576955i 0.218917 + 0.0314754i
\(337\) −1.09607 15.3251i −0.0597068 0.834811i −0.935769 0.352613i \(-0.885293\pi\)
0.876062 0.482198i \(-0.160161\pi\)
\(338\) −0.698012 1.87144i −0.0379669 0.101793i
\(339\) 14.5147 + 9.32803i 0.788330 + 0.506629i
\(340\) 1.46553 2.37803i 0.0794793 0.128967i
\(341\) 5.17917 + 8.05894i 0.280468 + 0.436416i
\(342\) 7.15626 + 0.511826i 0.386966 + 0.0276764i
\(343\) 8.66591 + 4.73195i 0.467915 + 0.255501i
\(344\) 0.459371 0.0247676
\(345\) 10.6889 + 0.864763i 0.575470 + 0.0465573i
\(346\) −1.07171 −0.0576153
\(347\) −18.2708 9.97659i −0.980826 0.535572i −0.0929581 0.995670i \(-0.529632\pi\)
−0.887868 + 0.460098i \(0.847814\pi\)
\(348\) 10.1571 + 0.726449i 0.544477 + 0.0389417i
\(349\) −10.3926 16.1711i −0.556301 0.865621i 0.443225 0.896411i \(-0.353834\pi\)
−0.999526 + 0.0307891i \(0.990198\pi\)
\(350\) 6.44160 + 19.2196i 0.344318 + 1.02733i
\(351\) −2.79045 1.79332i −0.148943 0.0957201i
\(352\) 0.472179 + 1.26596i 0.0251672 + 0.0674760i
\(353\) 1.90416 + 26.6237i 0.101348 + 1.41704i 0.752752 + 0.658304i \(0.228726\pi\)
−0.651404 + 0.758731i \(0.725820\pi\)
\(354\) 8.14019 + 1.17038i 0.432646 + 0.0622052i
\(355\) 4.06909 + 7.12838i 0.215965 + 0.378335i
\(356\) −3.78050 + 12.8752i −0.200366 + 0.682384i
\(357\) −2.42713 4.44495i −0.128457 0.235252i
\(358\) 7.92153 + 2.95458i 0.418666 + 0.156154i
\(359\) 2.04591 14.2296i 0.107979 0.751009i −0.861840 0.507181i \(-0.830688\pi\)
0.969818 0.243828i \(-0.0784033\pi\)
\(360\) 2.20690 0.359989i 0.116314 0.0189731i
\(361\) 13.4902 29.5395i 0.710011 1.55471i
\(362\) −2.73357 + 0.594652i −0.143673 + 0.0312542i
\(363\) 7.34448 + 5.49801i 0.385485 + 0.288570i
\(364\) −11.3127 + 7.27023i −0.592947 + 0.381064i
\(365\) 23.4409 0.442996i 1.22695 0.0231875i
\(366\) 3.10069 + 10.5600i 0.162076 + 0.551979i
\(367\) 2.15200 2.15200i 0.112334 0.112334i −0.648706 0.761039i \(-0.724689\pi\)
0.761039 + 0.648706i \(0.224689\pi\)
\(368\) −3.75663 2.98123i −0.195828 0.155408i
\(369\) 2.70262i 0.140693i
\(370\) 16.3685 6.46002i 0.850960 0.335841i
\(371\) 0.579631 + 0.668930i 0.0300929 + 0.0347291i
\(372\) −6.92798 1.50709i −0.359199 0.0781390i
\(373\) 0.714741 0.954782i 0.0370079 0.0494367i −0.781656 0.623710i \(-0.785625\pi\)
0.818663 + 0.574274i \(0.194715\pi\)
\(374\) 0.912542 1.41994i 0.0471864 0.0734235i
\(375\) 6.56774 + 9.04792i 0.339157 + 0.467232i
\(376\) −4.29474 + 4.95640i −0.221485 + 0.255607i
\(377\) −27.0401 + 20.2420i −1.39264 + 1.04252i
\(378\) 1.41675 3.79846i 0.0728699 0.195372i
\(379\) −2.93663 0.862272i −0.150844 0.0442919i 0.205439 0.978670i \(-0.434138\pi\)
−0.356283 + 0.934378i \(0.615956\pi\)
\(380\) 3.11332 15.7378i 0.159710 0.807331i
\(381\) −4.23403 9.27124i −0.216916 0.474980i
\(382\) −6.14743 8.21201i −0.314530 0.420163i
\(383\) −14.0122 + 1.00217i −0.715988 + 0.0512085i −0.424580 0.905390i \(-0.639578\pi\)
−0.291408 + 0.956599i \(0.594124\pi\)
\(384\) −0.909632 0.415415i −0.0464195 0.0211991i
\(385\) 3.67223 + 11.6850i 0.187154 + 0.595522i
\(386\) 1.10494 + 7.68504i 0.0562401 + 0.391158i
\(387\) 0.0976463 0.448873i 0.00496364 0.0228175i
\(388\) 0.183317 2.56311i 0.00930651 0.130122i
\(389\) 17.1829 5.04535i 0.871207 0.255809i 0.184578 0.982818i \(-0.440908\pi\)
0.686629 + 0.727008i \(0.259090\pi\)
\(390\) −4.75037 + 5.69623i −0.240544 + 0.288440i
\(391\) −0.169067 + 5.98867i −0.00855006 + 0.302860i
\(392\) −6.67190 6.67190i −0.336982 0.336982i
\(393\) 0.923863 1.69193i 0.0466027 0.0853465i
\(394\) −3.86274 + 3.34709i −0.194602 + 0.168624i
\(395\) −21.2040 + 16.5073i −1.06689 + 0.830575i
\(396\) 1.33740 0.192289i 0.0672069 0.00966289i
\(397\) −2.85173 13.1092i −0.143124 0.657931i −0.991670 0.128808i \(-0.958885\pi\)
0.848545 0.529123i \(-0.177479\pi\)
\(398\) 21.4008 7.98207i 1.07272 0.400105i
\(399\) −21.9818 19.0474i −1.10047 0.953560i
\(400\) −0.188917 4.99643i −0.00944585 0.249821i
\(401\) 13.3342 6.08951i 0.665876 0.304095i −0.0536510 0.998560i \(-0.517086\pi\)
0.719527 + 0.694464i \(0.244359\pi\)
\(402\) −10.1474 + 5.54092i −0.506108 + 0.276356i
\(403\) 20.6410 11.2708i 1.02820 0.561440i
\(404\) 8.03391 3.66896i 0.399702 0.182538i
\(405\) 0.117348 2.23299i 0.00583106 0.110958i
\(406\) −31.1994 27.0344i −1.54840 1.34170i
\(407\) 9.96274 3.71591i 0.493835 0.184191i
\(408\) 0.265541 + 1.22067i 0.0131463 + 0.0604324i
\(409\) 12.6277 1.81559i 0.624400 0.0897752i 0.177150 0.984184i \(-0.443312\pi\)
0.447251 + 0.894409i \(0.352403\pi\)
\(410\) −5.99691 0.746864i −0.296167 0.0368850i
\(411\) 0.700727 0.607183i 0.0345643 0.0299501i
\(412\) 7.20394 13.1930i 0.354912 0.649974i
\(413\) −23.5751 23.5751i −1.16006 1.16006i
\(414\) −3.71163 + 3.03707i −0.182417 + 0.149264i
\(415\) −11.1084 9.26382i −0.545288 0.454743i
\(416\) 3.18266 0.934512i 0.156043 0.0458182i
\(417\) −1.10994 + 15.5190i −0.0543540 + 0.759969i
\(418\) 2.06059 9.47236i 0.100787 0.463308i
\(419\) 2.80524 + 19.5109i 0.137045 + 0.953169i 0.936056 + 0.351852i \(0.114448\pi\)
−0.799011 + 0.601317i \(0.794643\pi\)
\(420\) −8.03699 4.19337i −0.392165 0.204615i
\(421\) 14.8632 + 6.78779i 0.724388 + 0.330817i 0.743258 0.669005i \(-0.233280\pi\)
−0.0188701 + 0.999822i \(0.506007\pi\)
\(422\) −18.8254 + 1.34642i −0.916404 + 0.0655425i
\(423\) 3.93022 + 5.25015i 0.191094 + 0.255271i
\(424\) −0.0906971 0.198599i −0.00440464 0.00964482i
\(425\) −4.85527 + 3.92941i −0.235515 + 0.190604i
\(426\) −3.52204 1.03416i −0.170643 0.0501054i
\(427\) 15.5925 41.8051i 0.754574 2.02309i
\(428\) 3.10507 2.32442i 0.150089 0.112355i
\(429\) −2.93495 + 3.38712i −0.141701 + 0.163532i
\(430\) −0.969031 0.340715i −0.0467308 0.0164307i
\(431\) −21.7183 + 33.7943i −1.04613 + 1.62782i −0.310319 + 0.950632i \(0.600436\pi\)
−0.735814 + 0.677183i \(0.763200\pi\)
\(432\) −0.599278 + 0.800541i −0.0288328 + 0.0385161i
\(433\) 15.2933 + 3.32684i 0.734947 + 0.159878i 0.564435 0.825478i \(-0.309094\pi\)
0.170512 + 0.985356i \(0.445458\pi\)
\(434\) 18.8229 + 21.7228i 0.903529 + 1.04273i
\(435\) −20.8873 9.06593i −1.00147 0.434678i
\(436\) 19.2408i 0.921469i
\(437\) 11.1098 + 32.5650i 0.531453 + 1.55779i
\(438\) −7.41398 + 7.41398i −0.354254 + 0.354254i
\(439\) 2.29784 + 7.82571i 0.109670 + 0.373501i 0.995978 0.0895943i \(-0.0285571\pi\)
−0.886309 + 0.463095i \(0.846739\pi\)
\(440\) −0.0570871 3.02073i −0.00272152 0.144008i
\(441\) −7.93764 + 5.10121i −0.377983 + 0.242915i
\(442\) −3.31720 2.48322i −0.157783 0.118115i
\(443\) −5.39408 + 1.17341i −0.256280 + 0.0557504i −0.338870 0.940833i \(-0.610045\pi\)
0.0825894 + 0.996584i \(0.473681\pi\)
\(444\) −3.26919 + 7.15853i −0.155149 + 0.339729i
\(445\) 17.5244 24.3559i 0.830736 1.15458i
\(446\) −0.619551 + 4.30908i −0.0293366 + 0.204041i
\(447\) −0.431721 0.161024i −0.0204197 0.00761615i
\(448\) 1.94291 + 3.55817i 0.0917939 + 0.168108i
\(449\) −2.14503 + 7.30531i −0.101230 + 0.344759i −0.994497 0.104769i \(-0.966590\pi\)
0.893266 + 0.449528i \(0.148408\pi\)
\(450\) −4.92240 0.877468i −0.232044 0.0413642i
\(451\) −3.61448 0.519684i −0.170199 0.0244710i
\(452\) 1.23086 + 17.2097i 0.0578949 + 0.809476i
\(453\) 1.39179 + 3.73154i 0.0653920 + 0.175323i
\(454\) −15.9518 10.2516i −0.748655 0.481132i
\(455\) 29.2562 6.94574i 1.37155 0.325622i
\(456\) 3.87885 + 6.03561i 0.181644 + 0.282643i
\(457\) 18.8301 + 1.34675i 0.880834 + 0.0629985i 0.504425 0.863455i \(-0.331704\pi\)
0.376408 + 0.926454i \(0.377159\pi\)
\(458\) 21.0946 + 11.5185i 0.985684 + 0.538224i
\(459\) 1.24922 0.0583087
\(460\) 5.71333 + 9.07512i 0.266385 + 0.423130i
\(461\) 6.49620 0.302558 0.151279 0.988491i \(-0.451661\pi\)
0.151279 + 0.988491i \(0.451661\pi\)
\(462\) −4.80763 2.62517i −0.223671 0.122134i
\(463\) −34.0013 2.43182i −1.58018 0.113016i −0.746544 0.665336i \(-0.768288\pi\)
−0.833632 + 0.552320i \(0.813743\pi\)
\(464\) 5.50536 + 8.56651i 0.255580 + 0.397690i
\(465\) 13.4966 + 8.31765i 0.625889 + 0.385722i
\(466\) −12.6599 8.13601i −0.586457 0.376893i
\(467\) −12.8690 34.5031i −0.595506 1.59661i −0.788243 0.615363i \(-0.789009\pi\)
0.192737 0.981250i \(-0.438263\pi\)
\(468\) −0.236633 3.30857i −0.0109384 0.152939i
\(469\) 46.3948 + 6.67056i 2.14231 + 0.308018i
\(470\) 12.7358 7.26999i 0.587459 0.335340i
\(471\) −4.43507 + 15.1044i −0.204357 + 0.695976i
\(472\) 3.94130 + 7.21795i 0.181413 + 0.332233i
\(473\) −0.581546 0.216905i −0.0267395 0.00997332i
\(474\) 1.71027 11.8952i 0.0785552 0.546363i
\(475\) −18.2402 + 30.8893i −0.836917 + 1.41730i
\(476\) 2.10384 4.60677i 0.0964295 0.211151i
\(477\) −0.213339 + 0.0464092i −0.00976814 + 0.00212493i
\(478\) −5.10914 3.82465i −0.233686 0.174935i
\(479\) −0.924736 + 0.594292i −0.0422523 + 0.0271539i −0.561596 0.827411i \(-0.689813\pi\)
0.519344 + 0.854565i \(0.326176\pi\)
\(480\) 1.61073 + 1.55098i 0.0735195 + 0.0707923i
\(481\) −7.35433 25.0466i −0.335329 1.14202i
\(482\) −11.7227 + 11.7227i −0.533956 + 0.533956i
\(483\) 19.4245 0.839200i 0.883846 0.0381849i
\(484\) 9.17439i 0.417018i
\(485\) −2.28776 + 5.27084i −0.103882 + 0.239337i
\(486\) 0.654861 + 0.755750i 0.0297051 + 0.0342815i
\(487\) −28.3659 6.17063i −1.28538 0.279618i −0.482574 0.875855i \(-0.660298\pi\)
−0.802808 + 0.596237i \(0.796662\pi\)
\(488\) −6.59553 + 8.81060i −0.298566 + 0.398837i
\(489\) −6.77533 + 10.5426i −0.306391 + 0.476754i
\(490\) 9.12566 + 19.0228i 0.412255 + 0.859360i
\(491\) −7.84683 + 9.05573i −0.354123 + 0.408679i −0.904662 0.426130i \(-0.859877\pi\)
0.550539 + 0.834809i \(0.314422\pi\)
\(492\) 2.16356 1.61962i 0.0975408 0.0730181i
\(493\) 4.44549 11.9188i 0.200215 0.536796i
\(494\) −22.8341 6.70470i −1.02736 0.301659i
\(495\) −2.96383 0.586320i −0.133214 0.0263531i
\(496\) −2.94530 6.44930i −0.132248 0.289582i
\(497\) 8.91809 + 11.9132i 0.400031 + 0.534379i
\(498\) 6.45212 0.461465i 0.289126 0.0206787i
\(499\) 28.6690 + 13.0927i 1.28340 + 0.586109i 0.936129 0.351656i \(-0.114381\pi\)
0.347270 + 0.937765i \(0.387109\pi\)
\(500\) −3.30733 + 10.6800i −0.147908 + 0.477622i
\(501\) −1.44362 10.0406i −0.0644962 0.448581i
\(502\) 3.57376 16.4283i 0.159505 0.733232i
\(503\) 1.78254 24.9232i 0.0794795 1.11127i −0.788621 0.614880i \(-0.789205\pi\)
0.868100 0.496389i \(-0.165341\pi\)
\(504\) 3.88985 1.14216i 0.173268 0.0508760i
\(505\) −19.6686 + 1.78084i −0.875241 + 0.0792463i
\(506\) 3.34807 + 5.54793i 0.148840 + 0.246636i
\(507\) −1.41236 1.41236i −0.0627251 0.0627251i
\(508\) 4.88465 8.94557i 0.216721 0.396895i
\(509\) −23.1827 + 20.0879i −1.02755 + 0.890381i −0.994035 0.109057i \(-0.965217\pi\)
−0.0335188 + 0.999438i \(0.510671\pi\)
\(510\) 0.345220 2.77193i 0.0152866 0.122743i
\(511\) 42.0741 6.04934i 1.86125 0.267607i
\(512\) −0.212565 0.977147i −0.00939415 0.0431842i
\(513\) 6.72219 2.50725i 0.296792 0.110698i
\(514\) 14.3625 + 12.4452i 0.633504 + 0.548934i
\(515\) −24.9818 + 22.4872i −1.10083 + 0.990904i
\(516\) 0.417858 0.190830i 0.0183952 0.00840080i
\(517\) 7.77729 4.24672i 0.342045 0.186771i
\(518\) 28.0018 15.2901i 1.23033 0.671809i
\(519\) −0.974859 + 0.445203i −0.0427916 + 0.0195423i
\(520\) −7.40686 0.389245i −0.324812 0.0170695i
\(521\) −31.1675 27.0068i −1.36547 1.18319i −0.963553 0.267516i \(-0.913797\pi\)
−0.401921 0.915674i \(-0.631657\pi\)
\(522\) 9.54098 3.55860i 0.417598 0.155756i
\(523\) −6.94219 31.9128i −0.303561 1.39545i −0.835884 0.548906i \(-0.815044\pi\)
0.532323 0.846541i \(-0.321319\pi\)
\(524\) 1.90811 0.274345i 0.0833561 0.0119848i
\(525\) 13.8436 + 14.8068i 0.604184 + 0.646223i
\(526\) 11.4014 9.87939i 0.497126 0.430762i
\(527\) −4.24471 + 7.77360i −0.184902 + 0.338623i
\(528\) 0.955409 + 0.955409i 0.0415788 + 0.0415788i
\(529\) −20.3492 10.7197i −0.884747 0.466072i
\(530\) 0.0440225 + 0.486210i 0.00191222 + 0.0211196i
\(531\) 7.89078 2.31694i 0.342430 0.100547i
\(532\) 2.07498 29.0120i 0.0899618 1.25783i
\(533\) −1.90557 + 8.75978i −0.0825395 + 0.379428i
\(534\) 1.90969 + 13.2822i 0.0826403 + 0.574776i
\(535\) −8.27408 + 2.60029i −0.357720 + 0.112420i
\(536\) −10.5169 4.80290i −0.454260 0.207453i
\(537\) 8.43305 0.603144i 0.363913 0.0260276i
\(538\) 9.07407 + 12.1215i 0.391211 + 0.522597i
\(539\) 5.29604 + 11.5967i 0.228117 + 0.499506i
\(540\) 1.85792 1.24424i 0.0799522 0.0535434i
\(541\) −17.8215 5.23286i −0.766205 0.224978i −0.124801 0.992182i \(-0.539829\pi\)
−0.641404 + 0.767204i \(0.721648\pi\)
\(542\) 0.322223 0.863914i 0.0138407 0.0371083i
\(543\) −2.23952 + 1.67648i −0.0961069 + 0.0719447i
\(544\) −0.818067 + 0.944099i −0.0350743 + 0.0404779i
\(545\) −14.2709 + 40.5880i −0.611299 + 1.73860i
\(546\) −7.27023 + 11.3127i −0.311137 + 0.484139i
\(547\) 5.63831 7.53190i 0.241077 0.322041i −0.663642 0.748050i \(-0.730990\pi\)
0.904719 + 0.426010i \(0.140081\pi\)
\(548\) 0.906005 + 0.197089i 0.0387026 + 0.00841924i
\(549\) 7.20727 + 8.31763i 0.307599 + 0.354988i
\(550\) −2.12005 + 6.41449i −0.0903992 + 0.273515i
\(551\) 73.0586i 3.11240i
\(552\) −4.65560 1.15127i −0.198155 0.0490011i
\(553\) −34.4501 + 34.4501i −1.46497 + 1.46497i
\(554\) 3.29457 + 11.2203i 0.139973 + 0.476704i
\(555\) 12.2058 12.6760i 0.518105 0.538065i
\(556\) −13.0888 + 8.41164i −0.555087 + 0.356733i
\(557\) −3.74709 2.80504i −0.158769 0.118853i 0.516939 0.856022i \(-0.327071\pi\)
−0.675709 + 0.737169i \(0.736162\pi\)
\(558\) −6.92798 + 1.50709i −0.293285 + 0.0638002i
\(559\) −0.632985 + 1.38604i −0.0267724 + 0.0586234i
\(560\) −1.45942 8.94693i −0.0616719 0.378077i
\(561\) 0.240212 1.67071i 0.0101417 0.0705374i
\(562\) 23.0231 + 8.58717i 0.971171 + 0.362228i
\(563\) 15.4760 + 28.3422i 0.652235 + 1.19448i 0.969254 + 0.246060i \(0.0791362\pi\)
−0.317019 + 0.948419i \(0.602682\pi\)
\(564\) −1.84767 + 6.29260i −0.0778011 + 0.264966i
\(565\) 10.1680 37.2163i 0.427769 1.56570i
\(566\) −9.92277 1.42668i −0.417085 0.0599678i
\(567\) −0.289214 4.04374i −0.0121459 0.169821i
\(568\) −1.28279 3.43929i −0.0538246 0.144309i
\(569\) −33.5656 21.5713i −1.40714 0.904316i −0.407183 0.913346i \(-0.633489\pi\)
−0.999959 + 0.00903080i \(0.997125\pi\)
\(570\) −3.70573 15.6089i −0.155216 0.653785i
\(571\) 6.09366 + 9.48192i 0.255012 + 0.396806i 0.945029 0.326987i \(-0.106033\pi\)
−0.690017 + 0.723793i \(0.742397\pi\)
\(572\) −4.47038 0.319728i −0.186916 0.0133685i
\(573\) −9.00329 4.91617i −0.376118 0.205376i
\(574\) −10.9566 −0.457320
\(575\) −5.32111 23.3813i −0.221906 0.975068i
\(576\) −1.00000 −0.0416667
\(577\) −28.4703 15.5459i −1.18523 0.647186i −0.239110 0.970993i \(-0.576856\pi\)
−0.946123 + 0.323806i \(0.895037\pi\)
\(578\) −15.4001 1.10144i −0.640560 0.0458138i
\(579\) 4.19757 + 6.53155i 0.174445 + 0.271442i
\(580\) −5.25964 22.1542i −0.218395 0.919901i
\(581\) −22.0612 14.1779i −0.915252 0.588197i
\(582\) −0.898002 2.40764i −0.0372234 0.0997997i
\(583\) 0.0210448 + 0.294244i 0.000871584 + 0.0121863i
\(584\) −10.3782 1.49216i −0.429454 0.0617462i
\(585\) −1.95479 + 7.15485i −0.0808207 + 0.295817i
\(586\) −4.63691 + 15.7919i −0.191549 + 0.652355i
\(587\) 1.53615 + 2.81324i 0.0634036 + 0.116115i 0.907458 0.420142i \(-0.138020\pi\)
−0.844055 + 0.536257i \(0.819838\pi\)
\(588\) −8.84058 3.29737i −0.364580 0.135981i
\(589\) −7.23921 + 50.3498i −0.298286 + 2.07463i
\(590\) −2.96052 18.1493i −0.121883 0.747196i
\(591\) −2.12324 + 4.64926i −0.0873386 + 0.191245i
\(592\) −7.68985 + 1.67282i −0.316051 + 0.0687527i
\(593\) 21.9498 + 16.4314i 0.901370 + 0.674757i 0.945972 0.324248i \(-0.105111\pi\)
−0.0446024 + 0.999005i \(0.514202\pi\)
\(594\) 1.13666 0.730488i 0.0466378 0.0299723i
\(595\) −7.85484 + 8.15745i −0.322017 + 0.334423i
\(596\) −0.129815 0.442108i −0.00531742 0.0181095i
\(597\) 16.1509 16.1509i 0.661014 0.661014i
\(598\) 14.1716 7.22679i 0.579519 0.295525i
\(599\) 20.4345i 0.834929i 0.908693 + 0.417465i \(0.137081\pi\)
−0.908693 + 0.417465i \(0.862919\pi\)
\(600\) −2.24744 4.46643i −0.0917512 0.182341i
\(601\) 16.5019 + 19.0443i 0.673128 + 0.776831i 0.984862 0.173338i \(-0.0554553\pi\)
−0.311734 + 0.950169i \(0.600910\pi\)
\(602\) −1.81976 0.395865i −0.0741680 0.0161343i
\(603\) −6.92866 + 9.25560i −0.282157 + 0.376917i
\(604\) −2.15318 + 3.35041i −0.0876116 + 0.136326i
\(605\) 6.80464 19.3531i 0.276648 0.786817i
\(606\) 5.78376 6.67482i 0.234949 0.271146i
\(607\) −29.9004 + 22.3832i −1.21362 + 0.908504i −0.997692 0.0679049i \(-0.978369\pi\)
−0.215928 + 0.976409i \(0.569278\pi\)
\(608\) −2.50725 + 6.72219i −0.101682 + 0.272621i
\(609\) −39.6105 11.6307i −1.60510 0.471299i
\(610\) 20.4479 13.6938i 0.827912 0.554447i
\(611\) −9.03688 19.7880i −0.365593 0.800537i
\(612\) 0.748631 + 1.00005i 0.0302616 + 0.0404248i
\(613\) −15.7590 + 1.12711i −0.636500 + 0.0455234i −0.385861 0.922557i \(-0.626095\pi\)
−0.250639 + 0.968080i \(0.580641\pi\)
\(614\) 16.9384 + 7.73552i 0.683579 + 0.312180i
\(615\) −5.76524 + 1.81184i −0.232477 + 0.0730603i
\(616\) −0.779553 5.42191i −0.0314091 0.218455i
\(617\) −0.999206 + 4.59328i −0.0402265 + 0.184918i −0.992876 0.119152i \(-0.961982\pi\)
0.952649 + 0.304071i \(0.0983459\pi\)
\(618\) 1.07235 14.9934i 0.0431363 0.603124i
\(619\) −34.5028 + 10.1309i −1.38679 + 0.407197i −0.888126 0.459600i \(-0.847993\pi\)
−0.498660 + 0.866797i \(0.666175\pi\)
\(620\) 1.42959 + 15.7892i 0.0574135 + 0.634108i
\(621\) −2.11457 + 4.30448i −0.0848549 + 0.172733i
\(622\) 16.4870 + 16.4870i 0.661069 + 0.661069i
\(623\) 26.0714 47.7463i 1.04453 1.91291i
\(624\) 2.50684 2.17219i 0.100354 0.0869570i
\(625\) 14.8981 20.0761i 0.595922 0.803042i
\(626\) 5.26850 0.757496i 0.210572 0.0302756i
\(627\) −2.06059 9.47236i −0.0822919 0.378290i
\(628\) −14.7496 + 5.50130i −0.588572 + 0.219526i
\(629\) 7.42978 + 6.43794i 0.296245 + 0.256697i
\(630\) −9.05269 0.475736i −0.360668 0.0189538i
\(631\) 16.8664 7.70264i 0.671442 0.306637i −0.0503658 0.998731i \(-0.516039\pi\)
0.721808 + 0.692094i \(0.243311\pi\)
\(632\) 10.5475 5.75937i 0.419557 0.229096i
\(633\) −16.5648 + 9.04508i −0.658393 + 0.359510i
\(634\) −5.94568 + 2.71530i −0.236133 + 0.107838i
\(635\) −16.9390 + 15.2475i −0.672202 + 0.605079i
\(636\) −0.165002 0.142975i −0.00654276 0.00566933i
\(637\) 29.3244 10.9374i 1.16187 0.433357i
\(638\) −2.92465 13.4444i −0.115788 0.532268i
\(639\) −3.63337 + 0.522399i −0.143734 + 0.0206658i
\(640\) −0.276348 + 2.21893i −0.0109236 + 0.0877107i
\(641\) −35.9143 + 31.1199i −1.41853 + 1.22916i −0.483142 + 0.875542i \(0.660505\pi\)
−0.935388 + 0.353622i \(0.884950\pi\)
\(642\) 1.85887 3.40426i 0.0733636 0.134355i
\(643\) 17.7518 + 17.7518i 0.700061 + 0.700061i 0.964423 0.264363i \(-0.0851616\pi\)
−0.264363 + 0.964423i \(0.585162\pi\)
\(644\) 12.3125 + 15.0472i 0.485180 + 0.592943i
\(645\) −1.02300 + 0.0926247i −0.0402806 + 0.00364709i
\(646\) 8.59955 2.52506i 0.338345 0.0993470i
\(647\) −1.99374 + 27.8761i −0.0783819 + 1.09592i 0.794265 + 0.607571i \(0.207856\pi\)
−0.872647 + 0.488351i \(0.837598\pi\)
\(648\) −0.212565 + 0.977147i −0.00835035 + 0.0383860i
\(649\) −1.58137 10.9986i −0.0620740 0.431734i
\(650\) 15.3359 + 6.31477i 0.601523 + 0.247686i
\(651\) 26.1459 + 11.9404i 1.02474 + 0.467983i
\(652\) −12.5001 + 0.894026i −0.489542 + 0.0350127i
\(653\) −19.1084 25.5259i −0.747771 0.998905i −0.999516 0.0311110i \(-0.990095\pi\)
0.251745 0.967794i \(-0.418995\pi\)
\(654\) −7.99293 17.5021i −0.312548 0.684385i
\(655\) −4.22859 0.836520i −0.165225 0.0326855i
\(656\) 2.59315 + 0.761416i 0.101245 + 0.0297283i
\(657\) −3.66412 + 9.82387i −0.142951 + 0.383266i
\(658\) 21.2845 15.9334i 0.829756 0.621148i
\(659\) −4.17154 + 4.81422i −0.162500 + 0.187535i −0.831160 0.556033i \(-0.812323\pi\)
0.668660 + 0.743568i \(0.266868\pi\)
\(660\) −1.30678 2.72404i −0.0508665 0.106033i
\(661\) −16.6213 + 25.8632i −0.646493 + 1.00596i 0.351080 + 0.936345i \(0.385814\pi\)
−0.997574 + 0.0696180i \(0.977822\pi\)
\(662\) 0.775282 1.03566i 0.0301322 0.0402519i
\(663\) −4.04900 0.880806i −0.157250 0.0342077i
\(664\) 4.23603 + 4.88864i 0.164390 + 0.189716i
\(665\) −25.8953 + 59.6611i −1.00418 + 2.31356i
\(666\) 7.86970i 0.304945i
\(667\) 33.5441 + 35.4931i 1.29883 + 1.37430i
\(668\) 7.17279 7.17279i 0.277523 0.277523i
\(669\) 1.22649 + 4.17704i 0.0474189 + 0.161494i
\(670\) 18.6228 + 17.9319i 0.719460 + 0.692771i
\(671\) 12.5099 8.03961i 0.482938 0.310366i
\(672\) 3.24545 + 2.42951i 0.125196 + 0.0937206i
\(673\) 19.2980 4.19803i 0.743884 0.161822i 0.175378 0.984501i \(-0.443885\pi\)
0.568506 + 0.822679i \(0.307522\pi\)
\(674\) 6.38253 13.9758i 0.245846 0.538328i
\(675\) −4.84209 + 1.24667i −0.186372 + 0.0479842i
\(676\) 0.284257 1.97705i 0.0109329 0.0760403i
\(677\) 17.2963 + 6.45120i 0.664752 + 0.247940i 0.659112 0.752044i \(-0.270932\pi\)
0.00563959 + 0.999984i \(0.498205\pi\)
\(678\) 8.26880 + 15.1432i 0.317561 + 0.581570i
\(679\) −2.93497 + 9.99558i −0.112634 + 0.383595i
\(680\) 2.42593 1.38479i 0.0930301 0.0531044i
\(681\) −18.7689 2.69857i −0.719228 0.103409i
\(682\) 0.683407 + 9.55527i 0.0261690 + 0.365890i
\(683\) 0.590773 + 1.58392i 0.0226053 + 0.0606071i 0.947762 0.318978i \(-0.103340\pi\)
−0.925157 + 0.379585i \(0.876067\pi\)
\(684\) 6.03561 + 3.87885i 0.230777 + 0.148312i
\(685\) −1.76501 1.08774i −0.0674377 0.0415604i
\(686\) 5.33811 + 8.30626i 0.203810 + 0.317135i
\(687\) 23.9733 + 1.71460i 0.914637 + 0.0654161i
\(688\) 0.403180 + 0.220153i 0.0153711 + 0.00839326i
\(689\) 0.724202 0.0275899
\(690\) 8.96697 + 5.88162i 0.341367 + 0.223909i
\(691\) 0.202453 0.00770168 0.00385084 0.999993i \(-0.498774\pi\)
0.00385084 + 0.999993i \(0.498774\pi\)
\(692\) −0.940615 0.513615i −0.0357568 0.0195247i
\(693\) −5.46371 0.390772i −0.207549 0.0148442i
\(694\) −11.2546 17.5125i −0.427219 0.664765i
\(695\) 33.8493 8.03620i 1.28398 0.304831i
\(696\) 8.56651 + 5.50536i 0.324713 + 0.208680i
\(697\) −1.17985 3.16331i −0.0446901 0.119819i
\(698\) −1.37133 19.1737i −0.0519056 0.725735i
\(699\) −14.8956 2.14167i −0.563405 0.0810054i
\(700\) −3.55732 + 19.9558i −0.134454 + 0.754257i
\(701\) −4.64070 + 15.8048i −0.175277 + 0.596938i 0.824251 + 0.566224i \(0.191596\pi\)
−0.999528 + 0.0307140i \(0.990222\pi\)
\(702\) −1.58968 2.91128i −0.0599985 0.109879i
\(703\) 52.9016 + 19.7313i 1.99522 + 0.744179i
\(704\) −0.192289 + 1.33740i −0.00724716 + 0.0504051i
\(705\) 8.56484 11.9037i 0.322571 0.448318i
\(706\) −11.0881 + 24.2796i −0.417307 + 0.913775i
\(707\) −34.9875 + 7.61106i −1.31584 + 0.286243i
\(708\) 6.58357 + 4.92840i 0.247426 + 0.185221i
\(709\) −3.06506 + 1.96980i −0.115111 + 0.0739772i −0.596929 0.802294i \(-0.703613\pi\)
0.481819 + 0.876271i \(0.339976\pi\)
\(710\) 0.155091 + 8.20654i 0.00582046 + 0.307986i
\(711\) −3.38572 11.5307i −0.126974 0.432435i
\(712\) −9.48849 + 9.48849i −0.355596 + 0.355596i
\(713\) −19.6007 27.7846i −0.734051 1.04054i
\(714\) 5.06444i 0.189532i
\(715\) 9.19301 + 3.99014i 0.343799 + 0.149223i
\(716\) 5.53658 + 6.38956i 0.206912 + 0.238789i
\(717\) −6.23625 1.35661i −0.232897 0.0506636i
\(718\) 8.61516 11.5085i 0.321515 0.429494i
\(719\) −24.4745 + 38.0831i −0.912745 + 1.42026i −0.00534669 + 0.999986i \(0.501702\pi\)
−0.907398 + 0.420273i \(0.861934\pi\)
\(720\) 2.10947 + 0.741699i 0.0786155 + 0.0276415i
\(721\) −39.9070 + 46.0551i −1.48621 + 1.71518i
\(722\) 25.9968 19.4610i 0.967502 0.724263i
\(723\) −5.79357 + 15.5332i −0.215465 + 0.577685i
\(724\) −2.68418 0.788148i −0.0997569 0.0292913i
\(725\) −5.33664 + 50.6347i −0.198198 + 1.88052i
\(726\) 3.81118 + 8.34532i 0.141446 + 0.309724i
\(727\) −6.02539 8.04898i −0.223469 0.298520i 0.674769 0.738029i \(-0.264243\pi\)
−0.898238 + 0.439509i \(0.855152\pi\)
\(728\) −13.4132 + 0.959329i −0.497125 + 0.0355551i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) 20.7859 + 10.8452i 0.769320 + 0.401399i
\(731\) −0.0816683 0.568015i −0.00302061 0.0210088i
\(732\) −2.33945 + 10.7543i −0.0864686 + 0.397490i
\(733\) 0.257869 3.60548i 0.00952460 0.133171i −0.990465 0.137766i \(-0.956008\pi\)
0.999989 + 0.00459442i \(0.00146245\pi\)
\(734\) 2.92011 0.857423i 0.107783 0.0316481i
\(735\) 16.2033 + 13.5128i 0.597669 + 0.498426i
\(736\) −1.86836 4.41693i −0.0688687 0.162810i
\(737\) 11.0461 + 11.0461i 0.406890 + 0.406890i
\(738\) 1.29523 2.37203i 0.0476780 0.0873158i
\(739\) −26.8802 + 23.2918i −0.988803 + 0.856802i −0.989694 0.143197i \(-0.954262\pi\)
0.000891472 1.00000i \(0.499716\pi\)
\(740\) 17.4623 + 2.17478i 0.641926 + 0.0799464i
\(741\) −23.5559 + 3.38682i −0.865347 + 0.124418i
\(742\) 0.188146 + 0.864893i 0.00690706 + 0.0317512i
\(743\) −26.9358 + 10.0465i −0.988177 + 0.368571i −0.791013 0.611799i \(-0.790446\pi\)
−0.197164 + 0.980370i \(0.563173\pi\)
\(744\) −5.35827 4.64297i −0.196444 0.170219i
\(745\) −0.0540706 + 1.02890i −0.00198099 + 0.0376960i
\(746\) 1.08489 0.495453i 0.0397207 0.0181398i
\(747\) 5.67736 3.10007i 0.207724 0.113426i
\(748\) 1.48143 0.808919i 0.0541663 0.0295770i
\(749\) −14.3036 + 6.53222i −0.522641 + 0.238682i
\(750\) 1.42816 + 11.0887i 0.0521490 + 0.404904i
\(751\) 12.5347 + 10.8613i 0.457396 + 0.396336i 0.852855 0.522148i \(-0.174869\pi\)
−0.395459 + 0.918484i \(0.629414\pi\)
\(752\) −6.14476 + 2.29188i −0.224076 + 0.0835761i
\(753\) −3.57376 16.4283i −0.130235 0.598681i
\(754\) −33.4335 + 4.80701i −1.21758 + 0.175061i
\(755\) 7.02707 5.47060i 0.255741 0.199095i
\(756\) 3.06386 2.65485i 0.111432 0.0965560i
\(757\) −3.05283 + 5.59084i −0.110957 + 0.203202i −0.927257 0.374426i \(-0.877840\pi\)
0.816300 + 0.577628i \(0.196022\pi\)
\(758\) −2.16417 2.16417i −0.0786064 0.0786064i
\(759\) 5.35020 + 3.65574i 0.194200 + 0.132695i
\(760\) 10.2748 12.3207i 0.372707 0.446917i
\(761\) 27.4137 8.04939i 0.993746 0.291790i 0.255859 0.966714i \(-0.417642\pi\)
0.737887 + 0.674924i \(0.235824\pi\)
\(762\) 0.727110 10.1663i 0.0263404 0.368287i
\(763\) −16.5809 + 76.2211i −0.600268 + 2.75939i
\(764\) −1.45988 10.1537i −0.0528164 0.367346i
\(765\) −0.837479 2.66485i −0.0302791 0.0963478i
\(766\) −12.7785 5.83573i −0.461705 0.210854i
\(767\) −27.2093 + 1.94605i −0.982472 + 0.0702678i
\(768\) −0.599278 0.800541i −0.0216246 0.0288870i
\(769\) 11.0410 + 24.1765i 0.398149 + 0.871826i 0.997455 + 0.0713050i \(0.0227164\pi\)
−0.599305 + 0.800521i \(0.704556\pi\)
\(770\) −2.37698 + 12.0156i −0.0856605 + 0.433011i
\(771\) 18.2345 + 5.35414i 0.656701 + 0.192825i
\(772\) −2.71326 + 7.27454i −0.0976525 + 0.261816i
\(773\) −32.3954 + 24.2509i −1.16518 + 0.872243i