Properties

Label 483.2.r.a.34.7
Level $483$
Weight $2$
Character 483.34
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 34.7
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33182 + 0.855909i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(0.210335 - 0.460569i) q^{4} +(-4.17306 + 1.22532i) q^{5} +(1.44007 - 0.657659i) q^{6} +(-0.894449 + 2.48997i) q^{7} +(-0.336531 - 2.34062i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(-1.33182 + 0.855909i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(0.210335 - 0.460569i) q^{4} +(-4.17306 + 1.22532i) q^{5} +(1.44007 - 0.657659i) q^{6} +(-0.894449 + 2.48997i) q^{7} +(-0.336531 - 2.34062i) q^{8} +(0.959493 + 0.281733i) q^{9} +(4.50901 - 5.20367i) q^{10} +(-3.50024 + 5.44647i) q^{11} +(-0.273740 + 0.425947i) q^{12} +(-2.11393 - 1.83173i) q^{13} +(-0.939945 - 4.08176i) q^{14} +(4.30497 - 0.618961i) q^{15} +(3.11470 + 3.59456i) q^{16} +(-1.32826 - 2.90849i) q^{17} +(-1.51901 + 0.446021i) q^{18} +(-1.41547 + 3.09945i) q^{19} +(-0.313395 + 2.17971i) q^{20} +(1.23970 - 2.33733i) q^{21} -10.2496i q^{22} +(3.53817 + 3.23750i) q^{23} +2.36469i q^{24} +(11.7068 - 7.52349i) q^{25} +(4.38317 + 0.630205i) q^{26} +(-0.909632 - 0.415415i) q^{27} +(0.958671 + 0.935683i) q^{28} +(-0.356601 - 0.780848i) q^{29} +(-5.20367 + 4.50901i) q^{30} +(-1.03495 + 0.148803i) q^{31} +(-2.68703 - 0.788982i) q^{32} +(4.23972 - 4.89290i) q^{33} +(4.25842 + 2.73672i) q^{34} +(0.681573 - 11.4868i) q^{35} +(0.331572 - 0.382655i) q^{36} +(-0.117697 + 0.400840i) q^{37} +(-0.767692 - 5.33942i) q^{38} +(1.83173 + 2.11393i) q^{39} +(4.27238 + 9.35522i) q^{40} +(-1.55178 - 5.28489i) q^{41} +(0.349482 + 4.17398i) q^{42} +(5.78126 + 0.831220i) q^{43} +(1.77226 + 2.75768i) q^{44} -4.34924 q^{45} +(-7.48320 - 1.28342i) q^{46} -0.395155i q^{47} +(-2.57144 - 4.00124i) q^{48} +(-5.39992 - 4.45430i) q^{49} +(-9.15191 + 20.0399i) q^{50} +(0.900823 + 3.06792i) q^{51} +(-1.28827 + 0.588334i) q^{52} +(-1.42105 + 1.23135i) q^{53} +(1.56702 - 0.225304i) q^{54} +(7.93303 - 27.0174i) q^{55} +(6.12910 + 1.25562i) q^{56} +(1.84216 - 2.86646i) q^{57} +(1.14326 + 0.734730i) q^{58} +(3.12292 + 2.70603i) q^{59} +(0.620411 - 2.11293i) q^{60} +(1.75024 + 12.1732i) q^{61} +(1.25100 - 1.08400i) q^{62} +(-1.55972 + 2.13712i) q^{63} +(-4.87331 + 1.43093i) q^{64} +(11.0660 + 5.05369i) q^{65} +(-1.45867 + 10.1453i) q^{66} +(-3.36055 - 5.22911i) q^{67} -1.61894 q^{68} +(-3.04141 - 3.70808i) q^{69} +(8.92392 + 15.8817i) q^{70} +(-4.63663 + 2.97978i) q^{71} +(0.336531 - 2.34062i) q^{72} +(7.75564 + 3.54188i) q^{73} +(-0.186331 - 0.634585i) q^{74} +(-12.6583 + 5.78087i) q^{75} +(1.12979 + 1.30384i) q^{76} +(-10.4308 - 13.5871i) q^{77} +(-4.24887 - 1.24758i) q^{78} +(-10.8904 - 9.43656i) q^{79} +(-17.4024 - 11.1838i) q^{80} +(0.841254 + 0.540641i) q^{81} +(6.59008 + 5.71034i) q^{82} +(13.0549 + 3.83325i) q^{83} +(-0.815751 - 1.06259i) q^{84} +(9.10678 + 10.5098i) q^{85} +(-8.41105 + 3.84120i) q^{86} +(0.241845 + 0.823649i) q^{87} +(13.9261 + 6.35983i) q^{88} +(0.0377817 - 0.262778i) q^{89} +(5.79240 - 3.72255i) q^{90} +(6.45176 - 3.62524i) q^{91} +(2.23529 - 0.948611i) q^{92} +1.04559 q^{93} +(0.338217 + 0.526276i) q^{94} +(2.10903 - 14.6686i) q^{95} +(2.54739 + 1.16336i) q^{96} +(-8.56990 + 2.51635i) q^{97} +(11.0042 + 1.31049i) q^{98} +(-4.89290 + 4.23972i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33182 + 0.855909i −0.941739 + 0.605219i −0.918887 0.394520i \(-0.870911\pi\)
−0.0228516 + 0.999739i \(0.507275\pi\)
\(3\) −0.989821 0.142315i −0.571474 0.0821655i
\(4\) 0.210335 0.460569i 0.105167 0.230285i
\(5\) −4.17306 + 1.22532i −1.86625 + 0.547981i −0.867532 + 0.497381i \(0.834295\pi\)
−0.998719 + 0.0505996i \(0.983887\pi\)
\(6\) 1.44007 0.657659i 0.587907 0.268488i
\(7\) −0.894449 + 2.48997i −0.338070 + 0.941121i
\(8\) −0.336531 2.34062i −0.118982 0.827536i
\(9\) 0.959493 + 0.281733i 0.319831 + 0.0939109i
\(10\) 4.50901 5.20367i 1.42587 1.64555i
\(11\) −3.50024 + 5.44647i −1.05536 + 1.64217i −0.344585 + 0.938755i \(0.611980\pi\)
−0.710776 + 0.703419i \(0.751656\pi\)
\(12\) −0.273740 + 0.425947i −0.0790219 + 0.122960i
\(13\) −2.11393 1.83173i −0.586299 0.508031i 0.310439 0.950593i \(-0.399524\pi\)
−0.896738 + 0.442563i \(0.854069\pi\)
\(14\) −0.939945 4.08176i −0.251211 1.09090i
\(15\) 4.30497 0.618961i 1.11154 0.159815i
\(16\) 3.11470 + 3.59456i 0.778676 + 0.898640i
\(17\) −1.32826 2.90849i −0.322152 0.705414i 0.677392 0.735622i \(-0.263110\pi\)
−0.999544 + 0.0302087i \(0.990383\pi\)
\(18\) −1.51901 + 0.446021i −0.358034 + 0.105128i
\(19\) −1.41547 + 3.09945i −0.324731 + 0.711062i −0.999640 0.0268395i \(-0.991456\pi\)
0.674909 + 0.737901i \(0.264183\pi\)
\(20\) −0.313395 + 2.17971i −0.0700773 + 0.487399i
\(21\) 1.23970 2.33733i 0.270526 0.510048i
\(22\) 10.2496i 2.18522i
\(23\) 3.53817 + 3.23750i 0.737758 + 0.675065i
\(24\) 2.36469i 0.482691i
\(25\) 11.7068 7.52349i 2.34136 1.50470i
\(26\) 4.38317 + 0.630205i 0.859610 + 0.123593i
\(27\) −0.909632 0.415415i −0.175059 0.0799467i
\(28\) 0.958671 + 0.935683i 0.181172 + 0.176828i
\(29\) −0.356601 0.780848i −0.0662192 0.145000i 0.873629 0.486593i \(-0.161761\pi\)
−0.939848 + 0.341594i \(0.889033\pi\)
\(30\) −5.20367 + 4.50901i −0.950056 + 0.823228i
\(31\) −1.03495 + 0.148803i −0.185882 + 0.0267258i −0.234627 0.972085i \(-0.575387\pi\)
0.0487450 + 0.998811i \(0.484478\pi\)
\(32\) −2.68703 0.788982i −0.475004 0.139474i
\(33\) 4.23972 4.89290i 0.738041 0.851745i
\(34\) 4.25842 + 2.73672i 0.730312 + 0.469343i
\(35\) 0.681573 11.4868i 0.115207 1.94162i
\(36\) 0.331572 0.382655i 0.0552620 0.0637758i
\(37\) −0.117697 + 0.400840i −0.0193493 + 0.0658977i −0.968602 0.248618i \(-0.920024\pi\)
0.949252 + 0.314515i \(0.101842\pi\)
\(38\) −0.767692 5.33942i −0.124536 0.866168i
\(39\) 1.83173 + 2.11393i 0.293312 + 0.338500i
\(40\) 4.27238 + 9.35522i 0.675523 + 1.47919i
\(41\) −1.55178 5.28489i −0.242348 0.825362i −0.987385 0.158338i \(-0.949386\pi\)
0.745037 0.667023i \(-0.232432\pi\)
\(42\) 0.349482 + 4.17398i 0.0539263 + 0.644060i
\(43\) 5.78126 + 0.831220i 0.881634 + 0.126760i 0.568239 0.822863i \(-0.307625\pi\)
0.313394 + 0.949623i \(0.398534\pi\)
\(44\) 1.77226 + 2.75768i 0.267178 + 0.415737i
\(45\) −4.34924 −0.648346
\(46\) −7.48320 1.28342i −1.10334 0.189230i
\(47\) 0.395155i 0.0576393i −0.999585 0.0288197i \(-0.990825\pi\)
0.999585 0.0288197i \(-0.00917485\pi\)
\(48\) −2.57144 4.00124i −0.371156 0.577529i
\(49\) −5.39992 4.45430i −0.771418 0.636329i
\(50\) −9.15191 + 20.0399i −1.29427 + 2.83407i
\(51\) 0.900823 + 3.06792i 0.126140 + 0.429595i
\(52\) −1.28827 + 0.588334i −0.178651 + 0.0815872i
\(53\) −1.42105 + 1.23135i −0.195196 + 0.169138i −0.746975 0.664852i \(-0.768495\pi\)
0.551779 + 0.833990i \(0.313949\pi\)
\(54\) 1.56702 0.225304i 0.213245 0.0306600i
\(55\) 7.93303 27.0174i 1.06969 3.64303i
\(56\) 6.12910 + 1.25562i 0.819035 + 0.167789i
\(57\) 1.84216 2.86646i 0.244000 0.379671i
\(58\) 1.14326 + 0.734730i 0.150118 + 0.0964748i
\(59\) 3.12292 + 2.70603i 0.406570 + 0.352295i 0.834011 0.551749i \(-0.186039\pi\)
−0.427440 + 0.904044i \(0.640585\pi\)
\(60\) 0.620411 2.11293i 0.0800947 0.272777i
\(61\) 1.75024 + 12.1732i 0.224095 + 1.55861i 0.722315 + 0.691564i \(0.243078\pi\)
−0.498220 + 0.867050i \(0.666013\pi\)
\(62\) 1.25100 1.08400i 0.158878 0.137668i
\(63\) −1.55972 + 2.13712i −0.196507 + 0.269251i
\(64\) −4.87331 + 1.43093i −0.609164 + 0.178867i
\(65\) 11.0660 + 5.05369i 1.37257 + 0.626833i
\(66\) −1.45867 + 10.1453i −0.179550 + 1.24880i
\(67\) −3.36055 5.22911i −0.410556 0.638838i 0.572976 0.819572i \(-0.305789\pi\)
−0.983532 + 0.180734i \(0.942153\pi\)
\(68\) −1.61894 −0.196326
\(69\) −3.04141 3.70808i −0.366142 0.446400i
\(70\) 8.92392 + 15.8817i 1.06661 + 1.89823i
\(71\) −4.63663 + 2.97978i −0.550267 + 0.353635i −0.786042 0.618173i \(-0.787873\pi\)
0.235776 + 0.971807i \(0.424237\pi\)
\(72\) 0.336531 2.34062i 0.0396606 0.275845i
\(73\) 7.75564 + 3.54188i 0.907729 + 0.414546i 0.813875 0.581040i \(-0.197354\pi\)
0.0938541 + 0.995586i \(0.470081\pi\)
\(74\) −0.186331 0.634585i −0.0216605 0.0737690i
\(75\) −12.6583 + 5.78087i −1.46166 + 0.667517i
\(76\) 1.12979 + 1.30384i 0.129595 + 0.149561i
\(77\) −10.4308 13.5871i −1.18870 1.54839i
\(78\) −4.24887 1.24758i −0.481089 0.141261i
\(79\) −10.8904 9.43656i −1.22526 1.06170i −0.996093 0.0883098i \(-0.971853\pi\)
−0.229170 0.973386i \(-0.573601\pi\)
\(80\) −17.4024 11.1838i −1.94564 1.25039i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) 6.59008 + 5.71034i 0.727753 + 0.630602i
\(83\) 13.0549 + 3.83325i 1.43296 + 0.420754i 0.903868 0.427812i \(-0.140715\pi\)
0.529089 + 0.848566i \(0.322534\pi\)
\(84\) −0.815751 1.06259i −0.0890057 0.115938i
\(85\) 9.10678 + 10.5098i 0.987769 + 1.13995i
\(86\) −8.41105 + 3.84120i −0.906987 + 0.414207i
\(87\) 0.241845 + 0.823649i 0.0259285 + 0.0883045i
\(88\) 13.9261 + 6.35983i 1.48453 + 0.677960i
\(89\) 0.0377817 0.262778i 0.00400486 0.0278544i −0.987721 0.156228i \(-0.950067\pi\)
0.991726 + 0.128374i \(0.0409756\pi\)
\(90\) 5.79240 3.72255i 0.610573 0.392391i
\(91\) 6.45176 3.62524i 0.676328 0.380028i
\(92\) 2.23529 0.948611i 0.233045 0.0988995i
\(93\) 1.04559 0.108423
\(94\) 0.338217 + 0.526276i 0.0348844 + 0.0542812i
\(95\) 2.10903 14.6686i 0.216381 1.50497i
\(96\) 2.54739 + 1.16336i 0.259992 + 0.118734i
\(97\) −8.56990 + 2.51635i −0.870142 + 0.255497i −0.686176 0.727436i \(-0.740712\pi\)
−0.183966 + 0.982933i \(0.558894\pi\)
\(98\) 11.0042 + 1.31049i 1.11159 + 0.132379i
\(99\) −4.89290 + 4.23972i −0.491755 + 0.426108i
\(100\) −1.00274 6.97424i −0.100274 0.697424i
\(101\) −0.360852 + 1.22895i −0.0359061 + 0.122285i −0.975496 0.220017i \(-0.929389\pi\)
0.939590 + 0.342302i \(0.111207\pi\)
\(102\) −3.82560 3.31490i −0.378790 0.328224i
\(103\) −9.86187 6.33784i −0.971719 0.624486i −0.0445013 0.999009i \(-0.514170\pi\)
−0.927217 + 0.374524i \(0.877806\pi\)
\(104\) −3.57599 + 5.56435i −0.350655 + 0.545629i
\(105\) −2.30938 + 11.2729i −0.225372 + 1.10012i
\(106\) 0.838661 2.85622i 0.0814580 0.277420i
\(107\) −4.53829 + 0.652508i −0.438733 + 0.0630803i −0.358142 0.933667i \(-0.616590\pi\)
−0.0805907 + 0.996747i \(0.525681\pi\)
\(108\) −0.382655 + 0.331572i −0.0368210 + 0.0319055i
\(109\) −12.9396 + 5.90933i −1.23939 + 0.566012i −0.923797 0.382882i \(-0.874931\pi\)
−0.315595 + 0.948894i \(0.602204\pi\)
\(110\) 12.5591 + 42.7723i 1.19746 + 4.07818i
\(111\) 0.173545 0.380010i 0.0164721 0.0360689i
\(112\) −11.7363 + 4.54038i −1.10898 + 0.429025i
\(113\) 0.585494 + 0.911047i 0.0550787 + 0.0857041i 0.867701 0.497087i \(-0.165597\pi\)
−0.812622 + 0.582791i \(0.801961\pi\)
\(114\) 5.39432i 0.505225i
\(115\) −18.7320 9.17489i −1.74677 0.855563i
\(116\) −0.434640 −0.0403553
\(117\) −1.51224 2.35310i −0.139807 0.217544i
\(118\) −6.47529 0.931006i −0.596099 0.0857060i
\(119\) 8.43013 0.705844i 0.772789 0.0647046i
\(120\) −2.89751 9.86802i −0.264505 0.900823i
\(121\) −12.8429 28.1219i −1.16753 2.55654i
\(122\) −12.7501 14.7144i −1.15434 1.33218i
\(123\) 0.783871 + 5.45194i 0.0706793 + 0.491585i
\(124\) −0.149152 + 0.507964i −0.0133942 + 0.0456165i
\(125\) −25.3937 + 29.3059i −2.27128 + 2.62120i
\(126\) 0.248095 4.18123i 0.0221020 0.372494i
\(127\) 4.61254 + 2.96430i 0.409297 + 0.263039i 0.729048 0.684462i \(-0.239963\pi\)
−0.319751 + 0.947501i \(0.603599\pi\)
\(128\) 8.93345 10.3098i 0.789613 0.911262i
\(129\) −5.60412 1.64552i −0.493415 0.144880i
\(130\) −19.0635 + 2.74091i −1.67198 + 0.240394i
\(131\) −14.0674 + 12.1895i −1.22908 + 1.06500i −0.233375 + 0.972387i \(0.574977\pi\)
−0.995702 + 0.0926144i \(0.970478\pi\)
\(132\) −1.36176 2.98183i −0.118526 0.259535i
\(133\) −6.45147 6.29678i −0.559413 0.546000i
\(134\) 8.95129 + 4.08792i 0.773274 + 0.353142i
\(135\) 4.30497 + 0.618961i 0.370513 + 0.0532717i
\(136\) −6.36069 + 4.08777i −0.545425 + 0.350523i
\(137\) 4.65351i 0.397576i −0.980042 0.198788i \(-0.936299\pi\)
0.980042 0.198788i \(-0.0637006\pi\)
\(138\) 7.22438 + 2.33532i 0.614980 + 0.198796i
\(139\) 3.33641i 0.282990i 0.989939 + 0.141495i \(0.0451910\pi\)
−0.989939 + 0.141495i \(0.954809\pi\)
\(140\) −5.14711 2.72999i −0.435010 0.230726i
\(141\) −0.0562365 + 0.391133i −0.00473597 + 0.0329394i
\(142\) 3.62473 7.93706i 0.304181 0.666063i
\(143\) 17.3757 5.10197i 1.45303 0.426649i
\(144\) 1.97583 + 4.32647i 0.164653 + 0.360539i
\(145\) 2.44491 + 2.82158i 0.203039 + 0.234319i
\(146\) −13.3606 + 1.92097i −1.10574 + 0.158981i
\(147\) 4.71105 + 5.17746i 0.388561 + 0.427029i
\(148\) 0.159859 + 0.138518i 0.0131403 + 0.0113861i
\(149\) 1.71328 2.66591i 0.140357 0.218400i −0.763957 0.645267i \(-0.776746\pi\)
0.904315 + 0.426867i \(0.140383\pi\)
\(150\) 11.9107 18.5334i 0.972507 1.51325i
\(151\) 0.812563 0.937747i 0.0661254 0.0763128i −0.721723 0.692182i \(-0.756650\pi\)
0.787848 + 0.615869i \(0.211195\pi\)
\(152\) 7.73099 + 2.27002i 0.627066 + 0.184123i
\(153\) −0.455043 3.16490i −0.0367881 0.255867i
\(154\) 25.5212 + 9.16775i 2.05656 + 0.738758i
\(155\) 4.13657 1.88911i 0.332258 0.151737i
\(156\) 1.35889 0.399005i 0.108798 0.0319460i
\(157\) 1.45781 3.19215i 0.116346 0.254761i −0.842496 0.538702i \(-0.818915\pi\)
0.958842 + 0.283941i \(0.0916420\pi\)
\(158\) 22.5809 + 3.24664i 1.79644 + 0.258289i
\(159\) 1.58182 1.01658i 0.125447 0.0806197i
\(160\) 12.1799 0.962905
\(161\) −11.2260 + 5.91416i −0.884732 + 0.466101i
\(162\) −1.58314 −0.124383
\(163\) −0.610728 + 0.392491i −0.0478359 + 0.0307423i −0.564340 0.825542i \(-0.690869\pi\)
0.516504 + 0.856285i \(0.327233\pi\)
\(164\) −2.76045 0.396893i −0.215555 0.0309921i
\(165\) −11.6973 + 25.6134i −0.910630 + 1.99400i
\(166\) −20.6676 + 6.06857i −1.60412 + 0.471012i
\(167\) 16.1645 7.38210i 1.25085 0.571244i 0.323780 0.946132i \(-0.395046\pi\)
0.927070 + 0.374888i \(0.122319\pi\)
\(168\) −5.88802 2.11510i −0.454271 0.163183i
\(169\) −0.736630 5.12338i −0.0566639 0.394106i
\(170\) −21.1240 6.20257i −1.62014 0.475715i
\(171\) −2.23135 + 2.57511i −0.170635 + 0.196924i
\(172\) 1.59883 2.48784i 0.121910 0.189696i
\(173\) 8.04046 12.5112i 0.611305 0.951209i −0.388255 0.921552i \(-0.626922\pi\)
0.999560 0.0296574i \(-0.00944164\pi\)
\(174\) −1.02706 0.889955i −0.0778615 0.0674673i
\(175\) 8.26217 + 35.8789i 0.624562 + 2.71219i
\(176\) −30.4799 + 4.38234i −2.29751 + 0.330332i
\(177\) −2.70603 3.12292i −0.203398 0.234733i
\(178\) 0.174595 + 0.382310i 0.0130865 + 0.0286554i
\(179\) 14.7065 4.31821i 1.09921 0.322758i 0.318674 0.947864i \(-0.396762\pi\)
0.780540 + 0.625106i \(0.214944\pi\)
\(180\) −0.914797 + 2.00313i −0.0681849 + 0.149304i
\(181\) 0.513903 3.57427i 0.0381981 0.265673i −0.961768 0.273864i \(-0.911698\pi\)
0.999966 + 0.00819071i \(0.00260721\pi\)
\(182\) −5.48971 + 10.3503i −0.406924 + 0.767214i
\(183\) 12.2983i 0.909120i
\(184\) 6.38706 9.37103i 0.470861 0.690842i
\(185\) 1.81695i 0.133585i
\(186\) −1.39254 + 0.894930i −0.102106 + 0.0656195i
\(187\) 20.4903 + 2.94606i 1.49840 + 0.215437i
\(188\) −0.181996 0.0831149i −0.0132734 0.00606178i
\(189\) 1.84799 1.89339i 0.134422 0.137724i
\(190\) 9.74614 + 21.3411i 0.707059 + 1.54824i
\(191\) 7.37112 6.38711i 0.533356 0.462155i −0.346058 0.938213i \(-0.612480\pi\)
0.879414 + 0.476058i \(0.157935\pi\)
\(192\) 5.02735 0.722824i 0.362818 0.0521653i
\(193\) 9.59490 + 2.81732i 0.690656 + 0.202795i 0.608181 0.793798i \(-0.291899\pi\)
0.0824749 + 0.996593i \(0.473718\pi\)
\(194\) 9.25980 10.6864i 0.664815 0.767238i
\(195\) −10.2342 6.57711i −0.732885 0.470996i
\(196\) −3.18731 + 1.55014i −0.227665 + 0.110724i
\(197\) −0.172731 + 0.199342i −0.0123066 + 0.0142026i −0.761870 0.647731i \(-0.775718\pi\)
0.749563 + 0.661933i \(0.230264\pi\)
\(198\) 2.88765 9.83443i 0.205216 0.698902i
\(199\) 1.15318 + 8.02055i 0.0817469 + 0.568562i 0.988993 + 0.147962i \(0.0472713\pi\)
−0.907246 + 0.420600i \(0.861820\pi\)
\(200\) −21.5494 24.8693i −1.52377 1.75852i
\(201\) 2.58216 + 5.65414i 0.182132 + 0.398813i
\(202\) −0.571278 1.94560i −0.0401950 0.136892i
\(203\) 2.26325 0.189499i 0.158849 0.0133002i
\(204\) 1.60246 + 0.230400i 0.112195 + 0.0161312i
\(205\) 12.9514 + 20.1528i 0.904565 + 1.40753i
\(206\) 18.5588 1.29306
\(207\) 2.48274 + 4.10317i 0.172562 + 0.285190i
\(208\) 13.3039i 0.922463i
\(209\) −11.9266 18.5581i −0.824978 1.28369i
\(210\) −6.57289 16.9901i −0.453572 1.17243i
\(211\) 7.28708 15.9565i 0.501663 1.09849i −0.474262 0.880384i \(-0.657285\pi\)
0.975925 0.218106i \(-0.0699877\pi\)
\(212\) 0.268224 + 0.913486i 0.0184217 + 0.0627385i
\(213\) 5.01350 2.28959i 0.343519 0.156880i
\(214\) 5.48570 4.75339i 0.374995 0.324935i
\(215\) −25.1441 + 3.61517i −1.71481 + 0.246553i
\(216\) −0.666211 + 2.26891i −0.0453299 + 0.154380i
\(217\) 0.555192 2.71009i 0.0376889 0.183973i
\(218\) 12.1754 18.9453i 0.824623 1.28314i
\(219\) −7.17264 4.60957i −0.484682 0.311486i
\(220\) −10.7748 9.33641i −0.726436 0.629461i
\(221\) −2.51972 + 8.58138i −0.169495 + 0.577246i
\(222\) 0.0941235 + 0.654643i 0.00631715 + 0.0439368i
\(223\) −7.86425 + 6.81441i −0.526629 + 0.456327i −0.877142 0.480231i \(-0.840553\pi\)
0.350513 + 0.936558i \(0.386007\pi\)
\(224\) 4.36795 5.98492i 0.291846 0.399884i
\(225\) 13.3522 3.92056i 0.890146 0.261370i
\(226\) −1.55955 0.712221i −0.103739 0.0473762i
\(227\) 3.40271 23.6664i 0.225846 1.57079i −0.489487 0.872011i \(-0.662816\pi\)
0.715333 0.698784i \(-0.246275\pi\)
\(228\) −0.932731 1.45136i −0.0617716 0.0961185i
\(229\) 1.72356 0.113896 0.0569479 0.998377i \(-0.481863\pi\)
0.0569479 + 0.998377i \(0.481863\pi\)
\(230\) 32.8005 3.81355i 2.16280 0.251458i
\(231\) 8.39097 + 14.9332i 0.552086 + 0.982535i
\(232\) −1.70766 + 1.09745i −0.112114 + 0.0720510i
\(233\) 0.420239 2.92283i 0.0275308 0.191481i −0.971415 0.237388i \(-0.923709\pi\)
0.998946 + 0.0459071i \(0.0146178\pi\)
\(234\) 4.02807 + 1.83956i 0.263323 + 0.120256i
\(235\) 0.484193 + 1.64901i 0.0315852 + 0.107569i
\(236\) 1.90317 0.869150i 0.123886 0.0565769i
\(237\) 9.43656 + 10.8904i 0.612971 + 0.707406i
\(238\) −10.6233 + 8.15548i −0.688605 + 0.528642i
\(239\) 12.1500 + 3.56755i 0.785917 + 0.230766i 0.649980 0.759952i \(-0.274777\pi\)
0.135937 + 0.990718i \(0.456596\pi\)
\(240\) 15.6336 + 13.5466i 1.00914 + 0.874429i
\(241\) 14.0586 + 9.03494i 0.905597 + 0.581992i 0.908445 0.418004i \(-0.137270\pi\)
−0.00284827 + 0.999996i \(0.500907\pi\)
\(242\) 41.1742 + 26.4610i 2.64678 + 1.70098i
\(243\) −0.755750 0.654861i −0.0484814 0.0420093i
\(244\) 5.97472 + 1.75434i 0.382492 + 0.112310i
\(245\) 27.9922 + 11.9715i 1.78836 + 0.764828i
\(246\) −5.71034 6.59008i −0.364078 0.420168i
\(247\) 8.66956 3.95925i 0.551631 0.251921i
\(248\) 0.696584 + 2.37235i 0.0442331 + 0.150644i
\(249\) −12.3765 5.65214i −0.784326 0.358190i
\(250\) 8.73668 60.7649i 0.552556 3.84311i
\(251\) 3.58738 2.30547i 0.226433 0.145520i −0.422506 0.906360i \(-0.638849\pi\)
0.648939 + 0.760840i \(0.275213\pi\)
\(252\) 0.656225 + 1.16787i 0.0413383 + 0.0735689i
\(253\) −30.0174 + 7.93852i −1.88718 + 0.499090i
\(254\) −8.68024 −0.544647
\(255\) −7.51839 11.6988i −0.470820 0.732610i
\(256\) −1.62790 + 11.3223i −0.101743 + 0.707641i
\(257\) 3.20819 + 1.46513i 0.200121 + 0.0913923i 0.512955 0.858416i \(-0.328551\pi\)
−0.312833 + 0.949808i \(0.601278\pi\)
\(258\) 8.87209 2.60508i 0.552352 0.162185i
\(259\) −0.892806 0.651593i −0.0554763 0.0404880i
\(260\) 4.65514 4.03370i 0.288700 0.250160i
\(261\) −0.122166 0.849684i −0.00756189 0.0525941i
\(262\) 8.30219 28.2747i 0.512911 1.74681i
\(263\) −8.30728 7.19830i −0.512249 0.443866i 0.359983 0.932959i \(-0.382783\pi\)
−0.872232 + 0.489093i \(0.837328\pi\)
\(264\) −12.8792 8.27699i −0.792663 0.509413i
\(265\) 4.42133 6.87973i 0.271600 0.422618i
\(266\) 13.9817 + 2.86430i 0.857271 + 0.175622i
\(267\) −0.0747943 + 0.254726i −0.00457734 + 0.0155890i
\(268\) −3.11521 + 0.447899i −0.190292 + 0.0273598i
\(269\) 12.4330 10.7732i 0.758051 0.656855i −0.187524 0.982260i \(-0.560046\pi\)
0.945575 + 0.325405i \(0.105501\pi\)
\(270\) −6.26322 + 2.86032i −0.381167 + 0.174073i
\(271\) 6.49601 + 22.1234i 0.394604 + 1.34390i 0.882219 + 0.470840i \(0.156049\pi\)
−0.487614 + 0.873059i \(0.662133\pi\)
\(272\) 6.31761 13.8336i 0.383061 0.838787i
\(273\) −6.90202 + 2.67016i −0.417729 + 0.161605i
\(274\) 3.98298 + 6.19764i 0.240621 + 0.374413i
\(275\) 90.0947i 5.43291i
\(276\) −2.34754 + 0.620840i −0.141305 + 0.0373702i
\(277\) −16.3155 −0.980303 −0.490151 0.871637i \(-0.663058\pi\)
−0.490151 + 0.871637i \(0.663058\pi\)
\(278\) −2.85566 4.44349i −0.171271 0.266503i
\(279\) −1.03495 0.148803i −0.0619607 0.00890861i
\(280\) −27.1157 + 2.27036i −1.62047 + 0.135680i
\(281\) 5.53599 + 18.8539i 0.330250 + 1.12473i 0.942540 + 0.334094i \(0.108430\pi\)
−0.612290 + 0.790633i \(0.709752\pi\)
\(282\) −0.259878 0.569052i −0.0154755 0.0338866i
\(283\) −8.54684 9.86358i −0.508057 0.586329i 0.442543 0.896747i \(-0.354076\pi\)
−0.950600 + 0.310418i \(0.899531\pi\)
\(284\) 0.397150 + 2.76224i 0.0235665 + 0.163909i
\(285\) −4.17512 + 14.2191i −0.247313 + 0.842269i
\(286\) −18.7745 + 21.6670i −1.11016 + 1.28119i
\(287\) 14.5472 + 0.863164i 0.858696 + 0.0509510i
\(288\) −2.35590 1.51405i −0.138823 0.0892160i
\(289\) 4.43758 5.12124i 0.261034 0.301249i
\(290\) −5.67119 1.66521i −0.333024 0.0977846i
\(291\) 8.84079 1.27111i 0.518256 0.0745140i
\(292\) 3.26256 2.82703i 0.190927 0.165439i
\(293\) −10.9574 23.9934i −0.640139 1.40171i −0.899926 0.436043i \(-0.856380\pi\)
0.259787 0.965666i \(-0.416348\pi\)
\(294\) −10.7057 2.86321i −0.624369 0.166986i
\(295\) −16.3479 7.46585i −0.951813 0.434678i
\(296\) 0.977824 + 0.140590i 0.0568349 + 0.00817162i
\(297\) 5.44647 3.50024i 0.316036 0.203104i
\(298\) 5.01692i 0.290623i
\(299\) −1.54921 13.3248i −0.0895931 0.770594i
\(300\) 7.04595i 0.406798i
\(301\) −7.24075 + 13.6517i −0.417350 + 0.786871i
\(302\) −0.279561 + 1.94439i −0.0160869 + 0.111887i
\(303\) 0.532077 1.16509i 0.0305670 0.0669324i
\(304\) −15.5499 + 4.56587i −0.891849 + 0.261870i
\(305\) −22.2199 48.6548i −1.27231 2.78597i
\(306\) 3.31490 + 3.82560i 0.189500 + 0.218695i
\(307\) −17.2983 + 2.48712i −0.987268 + 0.141948i −0.616988 0.786973i \(-0.711647\pi\)
−0.370280 + 0.928920i \(0.620738\pi\)
\(308\) −8.45175 + 1.94626i −0.481583 + 0.110899i
\(309\) 8.85952 + 7.67682i 0.504000 + 0.436719i
\(310\) −3.89227 + 6.05648i −0.221066 + 0.343985i
\(311\) −12.6261 + 19.6466i −0.715961 + 1.11406i 0.272437 + 0.962174i \(0.412170\pi\)
−0.988398 + 0.151884i \(0.951466\pi\)
\(312\) 4.33148 4.99880i 0.245222 0.283001i
\(313\) 2.68097 + 0.787205i 0.151538 + 0.0444954i 0.356622 0.934249i \(-0.383929\pi\)
−0.205084 + 0.978744i \(0.565747\pi\)
\(314\) 0.790654 + 5.49912i 0.0446192 + 0.310333i
\(315\) 3.89017 10.8295i 0.219186 0.610172i
\(316\) −6.63681 + 3.03093i −0.373350 + 0.170503i
\(317\) −9.88559 + 2.90267i −0.555230 + 0.163030i −0.547297 0.836938i \(-0.684343\pi\)
−0.00793265 + 0.999969i \(0.502525\pi\)
\(318\) −1.23661 + 2.70779i −0.0693455 + 0.151845i
\(319\) 5.50105 + 0.790932i 0.308000 + 0.0442837i
\(320\) 18.5833 11.9427i 1.03884 0.667620i
\(321\) 4.58496 0.255907
\(322\) 9.88901 17.4850i 0.551093 0.974402i
\(323\) 10.8948 0.606205
\(324\) 0.425947 0.273740i 0.0236637 0.0152078i
\(325\) −38.5283 5.53954i −2.13717 0.307278i
\(326\) 0.477444 1.04546i 0.0264432 0.0579024i
\(327\) 13.6489 4.00768i 0.754787 0.221625i
\(328\) −11.8477 + 5.41068i −0.654181 + 0.298755i
\(329\) 0.983926 + 0.353446i 0.0542456 + 0.0194861i
\(330\) −6.34411 44.1243i −0.349232 2.42896i
\(331\) −14.7995 4.34552i −0.813454 0.238852i −0.151559 0.988448i \(-0.548429\pi\)
−0.661895 + 0.749597i \(0.730247\pi\)
\(332\) 4.51137 5.20640i 0.247594 0.285738i
\(333\) −0.225859 + 0.351444i −0.0123770 + 0.0192590i
\(334\) −15.2099 + 23.6670i −0.832247 + 1.29500i
\(335\) 20.4311 + 17.7037i 1.11627 + 0.967255i
\(336\) 12.2630 2.82391i 0.669002 0.154057i
\(337\) −14.0694 + 2.02287i −0.766408 + 0.110193i −0.514421 0.857538i \(-0.671993\pi\)
−0.251987 + 0.967731i \(0.581084\pi\)
\(338\) 5.36620 + 6.19293i 0.291883 + 0.336851i
\(339\) −0.449879 0.985098i −0.0244341 0.0535032i
\(340\) 6.75595 1.98373i 0.366393 0.107583i
\(341\) 2.81211 6.15766i 0.152284 0.333456i
\(342\) 0.767692 5.33942i 0.0415120 0.288723i
\(343\) 15.9210 9.46151i 0.859656 0.510874i
\(344\) 13.8115i 0.744666i
\(345\) 17.2356 + 11.7473i 0.927932 + 0.632456i
\(346\) 23.5446i 1.26576i
\(347\) 23.3115 14.9814i 1.25142 0.804242i 0.264338 0.964430i \(-0.414847\pi\)
0.987086 + 0.160188i \(0.0512102\pi\)
\(348\) 0.430216 + 0.0618557i 0.0230620 + 0.00331581i
\(349\) 3.10426 + 1.41767i 0.166167 + 0.0758860i 0.496762 0.867887i \(-0.334522\pi\)
−0.330595 + 0.943773i \(0.607249\pi\)
\(350\) −41.7128 40.7126i −2.22964 2.17618i
\(351\) 1.16197 + 2.54436i 0.0620214 + 0.135808i
\(352\) 13.7024 11.8732i 0.730341 0.632844i
\(353\) −26.5951 + 3.82380i −1.41551 + 0.203520i −0.807247 0.590213i \(-0.799044\pi\)
−0.608266 + 0.793733i \(0.708135\pi\)
\(354\) 6.27688 + 1.84306i 0.333613 + 0.0979575i
\(355\) 15.6978 18.1162i 0.833151 0.961507i
\(356\) −0.113080 0.0726724i −0.00599325 0.00385163i
\(357\) −8.44478 0.501074i −0.446945 0.0265196i
\(358\) −15.8904 + 18.3385i −0.839833 + 0.969219i
\(359\) 1.98748 6.76873i 0.104895 0.357240i −0.890273 0.455428i \(-0.849486\pi\)
0.995168 + 0.0981877i \(0.0313046\pi\)
\(360\) 1.46365 + 10.1799i 0.0771413 + 0.536530i
\(361\) 4.83934 + 5.58490i 0.254702 + 0.293942i
\(362\) 2.37482 + 5.20014i 0.124818 + 0.273313i
\(363\) 8.70997 + 29.6634i 0.457155 + 1.55693i
\(364\) −0.312643 3.73400i −0.0163869 0.195715i
\(365\) −36.7047 5.27734i −1.92121 0.276229i
\(366\) 10.5263 + 16.3792i 0.550217 + 0.856154i
\(367\) 9.90430 0.517000 0.258500 0.966011i \(-0.416772\pi\)
0.258500 + 0.966011i \(0.416772\pi\)
\(368\) −0.617041 + 22.8020i −0.0321655 + 1.18864i
\(369\) 5.50801i 0.286735i
\(370\) 1.55514 + 2.41985i 0.0808480 + 0.125802i
\(371\) −1.79496 4.63975i −0.0931897 0.240884i
\(372\) 0.219924 0.481567i 0.0114025 0.0249681i
\(373\) −6.92472 23.5834i −0.358548 1.22110i −0.919445 0.393218i \(-0.871362\pi\)
0.560897 0.827886i \(-0.310456\pi\)
\(374\) −29.8109 + 13.6142i −1.54149 + 0.703973i
\(375\) 29.3059 25.3937i 1.51335 1.31133i
\(376\) −0.924910 + 0.132982i −0.0476986 + 0.00685802i
\(377\) −0.676473 + 2.30385i −0.0348401 + 0.118655i
\(378\) −0.840621 + 4.10337i −0.0432369 + 0.211054i
\(379\) 10.2215 15.9049i 0.525042 0.816981i −0.472899 0.881116i \(-0.656793\pi\)
0.997941 + 0.0641354i \(0.0204290\pi\)
\(380\) −6.31230 4.05667i −0.323814 0.208103i
\(381\) −4.14373 3.59056i −0.212290 0.183950i
\(382\) −4.35022 + 14.8155i −0.222577 + 0.758027i
\(383\) −1.93819 13.4804i −0.0990367 0.688815i −0.977489 0.210985i \(-0.932333\pi\)
0.878453 0.477830i \(-0.158576\pi\)
\(384\) −10.3098 + 8.93345i −0.526117 + 0.455883i
\(385\) 60.1769 + 43.9187i 3.06690 + 2.23830i
\(386\) −15.1901 + 4.46020i −0.773153 + 0.227018i
\(387\) 5.31290 + 2.42632i 0.270070 + 0.123337i
\(388\) −0.643596 + 4.47631i −0.0326736 + 0.227250i
\(389\) 2.24367 + 3.49122i 0.113759 + 0.177012i 0.893464 0.449135i \(-0.148268\pi\)
−0.779706 + 0.626146i \(0.784631\pi\)
\(390\) 19.2595 0.975242
\(391\) 4.71662 14.5910i 0.238530 0.737898i
\(392\) −8.60861 + 14.1382i −0.434801 + 0.714087i
\(393\) 15.6590 10.0634i 0.789892 0.507632i
\(394\) 0.0594279 0.413330i 0.00299394 0.0208233i
\(395\) 57.0091 + 26.0352i 2.86844 + 1.30997i
\(396\) 0.923538 + 3.14528i 0.0464095 + 0.158056i
\(397\) −32.0170 + 14.6217i −1.60689 + 0.733841i −0.998223 0.0595865i \(-0.981022\pi\)
−0.608665 + 0.793428i \(0.708295\pi\)
\(398\) −8.40069 9.69491i −0.421089 0.485962i
\(399\) 5.48968 + 7.15082i 0.274828 + 0.357989i
\(400\) 63.5068 + 18.6473i 3.17534 + 0.932364i
\(401\) −15.6983 13.6027i −0.783936 0.679285i 0.167930 0.985799i \(-0.446292\pi\)
−0.951866 + 0.306514i \(0.900837\pi\)
\(402\) −8.27841 5.32021i −0.412889 0.265348i
\(403\) 2.46038 + 1.58119i 0.122560 + 0.0787645i
\(404\) 0.490116 + 0.424688i 0.0243842 + 0.0211290i
\(405\) −4.17306 1.22532i −0.207361 0.0608868i
\(406\) −2.85205 + 2.18951i −0.141545 + 0.108664i
\(407\) −1.77120 2.04407i −0.0877949 0.101321i
\(408\) 6.87770 3.14094i 0.340497 0.155500i
\(409\) −3.41095 11.6166i −0.168661 0.574405i −0.999831 0.0183874i \(-0.994147\pi\)
0.831170 0.556018i \(-0.187671\pi\)
\(410\) −34.4979 15.7546i −1.70373 0.778066i
\(411\) −0.662264 + 4.60615i −0.0326671 + 0.227204i
\(412\) −4.99331 + 3.20900i −0.246003 + 0.158096i
\(413\) −9.53123 + 5.35559i −0.469001 + 0.263531i
\(414\) −6.81850 3.33969i −0.335111 0.164137i
\(415\) −59.1757 −2.90482
\(416\) 4.23498 + 6.58976i 0.207637 + 0.323090i
\(417\) 0.474820 3.30245i 0.0232520 0.161721i
\(418\) 31.7681 + 14.5080i 1.55383 + 0.709610i
\(419\) 15.2583 4.48023i 0.745415 0.218874i 0.113098 0.993584i \(-0.463922\pi\)
0.632316 + 0.774710i \(0.282104\pi\)
\(420\) 4.70620 + 3.43471i 0.229639 + 0.167597i
\(421\) 7.27680 6.30538i 0.354649 0.307305i −0.459255 0.888305i \(-0.651884\pi\)
0.813904 + 0.580999i \(0.197338\pi\)
\(422\) 3.95221 + 27.4882i 0.192391 + 1.33811i
\(423\) 0.111328 0.379149i 0.00541296 0.0184348i
\(424\) 3.36034 + 2.91175i 0.163193 + 0.141407i
\(425\) −37.4317 24.0559i −1.81571 1.16688i
\(426\) −4.71740 + 7.34042i −0.228559 + 0.355645i
\(427\) −31.8763 6.53023i −1.54260 0.316020i
\(428\) −0.654036 + 2.22744i −0.0316140 + 0.107667i
\(429\) −17.9250 + 2.57722i −0.865425 + 0.124429i
\(430\) 30.3931 26.3358i 1.46569 1.27003i
\(431\) −22.4233 + 10.2404i −1.08009 + 0.493261i −0.874325 0.485341i \(-0.838696\pi\)
−0.205765 + 0.978601i \(0.565968\pi\)
\(432\) −1.34000 4.56362i −0.0644708 0.219567i
\(433\) 5.56393 12.1833i 0.267385 0.585492i −0.727545 0.686060i \(-0.759339\pi\)
0.994930 + 0.100568i \(0.0320660\pi\)
\(434\) 1.58017 + 4.08454i 0.0758507 + 0.196064i
\(435\) −2.01847 3.14080i −0.0967783 0.150590i
\(436\) 7.20254i 0.344939i
\(437\) −15.0426 + 6.38377i −0.719586 + 0.305377i
\(438\) 13.4980 0.644961
\(439\) −13.3891 20.8338i −0.639025 0.994342i −0.998135 0.0610467i \(-0.980556\pi\)
0.359110 0.933295i \(-0.383080\pi\)
\(440\) −65.9073 9.47604i −3.14201 0.451752i
\(441\) −3.92627 5.79521i −0.186965 0.275962i
\(442\) −3.98906 13.5855i −0.189740 0.646196i
\(443\) 2.73246 + 5.98326i 0.129823 + 0.284273i 0.963370 0.268176i \(-0.0864207\pi\)
−0.833547 + 0.552449i \(0.813693\pi\)
\(444\) −0.138518 0.159859i −0.00657379 0.00758656i
\(445\) 0.164322 + 1.14288i 0.00778960 + 0.0541779i
\(446\) 4.64125 15.8066i 0.219770 0.748466i
\(447\) −2.07524 + 2.39495i −0.0981554 + 0.113277i
\(448\) 0.795942 13.4143i 0.0376047 0.633766i
\(449\) −21.5728 13.8640i −1.01809 0.654284i −0.0786118 0.996905i \(-0.525049\pi\)
−0.939473 + 0.342622i \(0.888685\pi\)
\(450\) −14.4271 + 16.6497i −0.680099 + 0.784876i
\(451\) 34.2156 + 10.0466i 1.61115 + 0.473077i
\(452\) 0.542750 0.0780357i 0.0255288 0.00367049i
\(453\) −0.937747 + 0.812563i −0.0440592 + 0.0381775i
\(454\) 15.7245 + 34.4318i 0.737986 + 1.61596i
\(455\) −22.4815 + 23.0338i −1.05395 + 1.07984i
\(456\) −7.32924 3.34715i −0.343223 0.156745i
\(457\) 24.9848 + 3.59228i 1.16874 + 0.168040i 0.699237 0.714890i \(-0.253523\pi\)
0.469505 + 0.882930i \(0.344432\pi\)
\(458\) −2.29547 + 1.47521i −0.107260 + 0.0689319i
\(459\) 3.19744i 0.149244i
\(460\) −8.16566 + 6.69757i −0.380726 + 0.312276i
\(461\) 19.3427i 0.900878i 0.892807 + 0.450439i \(0.148732\pi\)
−0.892807 + 0.450439i \(0.851268\pi\)
\(462\) −23.9568 12.7065i −1.11457 0.591159i
\(463\) −1.81269 + 12.6075i −0.0842429 + 0.585922i 0.903352 + 0.428900i \(0.141099\pi\)
−0.987595 + 0.157022i \(0.949810\pi\)
\(464\) 1.69610 3.71393i 0.0787393 0.172415i
\(465\) −4.36332 + 1.28119i −0.202344 + 0.0594136i
\(466\) 1.94199 + 4.25237i 0.0899610 + 0.196987i
\(467\) 11.1057 + 12.8167i 0.513910 + 0.593084i 0.952096 0.305800i \(-0.0989241\pi\)
−0.438185 + 0.898885i \(0.644379\pi\)
\(468\) −1.40184 + 0.201554i −0.0648001 + 0.00931685i
\(469\) 16.0262 3.69050i 0.740020 0.170411i
\(470\) −2.05626 1.78176i −0.0948481 0.0821864i
\(471\) −1.89726 + 2.95219i −0.0874211 + 0.136030i
\(472\) 5.28284 8.22026i 0.243162 0.378368i
\(473\) −24.7630 + 28.5780i −1.13860 + 1.31402i
\(474\) −21.8890 6.42718i −1.00539 0.295210i
\(475\) 6.74807 + 46.9338i 0.309622 + 2.15347i
\(476\) 1.44806 4.03112i 0.0663718 0.184766i
\(477\) −1.71040 + 0.781112i −0.0783136 + 0.0357646i
\(478\) −19.2351 + 5.64793i −0.879792 + 0.258330i
\(479\) −13.2789 + 29.0767i −0.606727 + 1.32855i 0.318063 + 0.948070i \(0.396968\pi\)
−0.924790 + 0.380478i \(0.875760\pi\)
\(480\) −12.0559 1.73338i −0.550275 0.0791176i
\(481\) 0.983034 0.631758i 0.0448225 0.0288057i
\(482\) −26.4567 −1.20507
\(483\) 11.9534 4.25634i 0.543898 0.193670i
\(484\) −15.6534 −0.711518
\(485\) 32.6794 21.0018i 1.48390 0.953642i
\(486\) 1.56702 + 0.225304i 0.0710816 + 0.0102200i
\(487\) −10.1595 + 22.2461i −0.460369 + 1.00807i 0.527034 + 0.849844i \(0.323304\pi\)
−0.987403 + 0.158223i \(0.949423\pi\)
\(488\) 27.9038 8.19330i 1.26315 0.370893i
\(489\) 0.660370 0.301581i 0.0298629 0.0136379i
\(490\) −47.5270 + 8.01494i −2.14705 + 0.362078i
\(491\) 1.59403 + 11.0867i 0.0719375 + 0.500336i 0.993655 + 0.112474i \(0.0358774\pi\)
−0.921717 + 0.387863i \(0.873213\pi\)
\(492\) 2.67587 + 0.785707i 0.120638 + 0.0354224i
\(493\) −1.79743 + 2.07434i −0.0809522 + 0.0934238i
\(494\) −8.15753 + 12.6934i −0.367025 + 0.571101i
\(495\) 15.2234 23.6880i 0.684239 1.06470i
\(496\) −3.75844 3.25671i −0.168759 0.146230i
\(497\) −3.27234 14.2103i −0.146785 0.637421i
\(498\) 21.3209 3.06549i 0.955413 0.137368i
\(499\) 16.3288 + 18.8445i 0.730979 + 0.843594i 0.992581 0.121581i \(-0.0387965\pi\)
−0.261603 + 0.965176i \(0.584251\pi\)
\(500\) 8.15622 + 17.8596i 0.364757 + 0.798707i
\(501\) −17.0506 + 5.00651i −0.761764 + 0.223674i
\(502\) −2.80447 + 6.14094i −0.125170 + 0.274084i
\(503\) −3.55640 + 24.7353i −0.158572 + 1.10289i 0.742696 + 0.669629i \(0.233547\pi\)
−0.901268 + 0.433263i \(0.857362\pi\)
\(504\) 5.52708 + 2.93152i 0.246196 + 0.130580i
\(505\) 5.57064i 0.247890i
\(506\) 33.1831 36.2648i 1.47517 1.61217i
\(507\) 5.17606i 0.229877i
\(508\) 2.33544 1.50090i 0.103618 0.0665916i
\(509\) −12.5815 1.80895i −0.557666 0.0801802i −0.142281 0.989826i \(-0.545444\pi\)
−0.415384 + 0.909646i \(0.636353\pi\)
\(510\) 20.0263 + 9.14569i 0.886778 + 0.404978i
\(511\) −15.7562 + 16.1433i −0.697014 + 0.714138i
\(512\) 3.81122 + 8.34542i 0.168434 + 0.368819i
\(513\) 2.57511 2.23135i 0.113694 0.0985164i
\(514\) −5.52674 + 0.794626i −0.243774 + 0.0350494i
\(515\) 48.9201 + 14.3642i 2.15568 + 0.632964i
\(516\) −1.93662 + 2.23497i −0.0852548 + 0.0983893i
\(517\) 2.15220 + 1.38314i 0.0946538 + 0.0608303i
\(518\) 1.74676 + 0.103645i 0.0767483 + 0.00455388i
\(519\) −9.73915 + 11.2396i −0.427501 + 0.493363i
\(520\) 8.10472 27.6021i 0.355415 1.21043i
\(521\) 2.76872 + 19.2568i 0.121300 + 0.843657i 0.956087 + 0.293084i \(0.0946817\pi\)
−0.834787 + 0.550573i \(0.814409\pi\)
\(522\) 0.889955 + 1.02706i 0.0389523 + 0.0449533i
\(523\) −16.0829 35.2167i −0.703257 1.53992i −0.835977 0.548765i \(-0.815098\pi\)
0.132720 0.991154i \(-0.457629\pi\)
\(524\) 2.65523 + 9.04290i 0.115994 + 0.395041i
\(525\) −3.07197 36.6896i −0.134072 1.60126i
\(526\) 17.2249 + 2.47657i 0.751041 + 0.107983i
\(527\) 1.80748 + 2.81249i 0.0787350 + 0.122514i
\(528\) 30.7933 1.34011
\(529\) 2.03722 + 22.9096i 0.0885750 + 0.996070i
\(530\) 12.9468i 0.562374i
\(531\) 2.23405 + 3.47625i 0.0969494 + 0.150856i
\(532\) −4.25707 + 1.64692i −0.184567 + 0.0714029i
\(533\) −6.40014 + 14.0143i −0.277221 + 0.607029i
\(534\) −0.118410 0.403266i −0.00512409 0.0174510i
\(535\) 18.1390 8.28382i 0.784219 0.358141i
\(536\) −11.1085 + 9.62554i −0.479812 + 0.415760i
\(537\) −15.1713 + 2.18131i −0.654691 + 0.0941304i
\(538\) −7.33757 + 24.9895i −0.316345 + 1.07737i
\(539\) 43.1613 13.8194i 1.85909 0.595245i
\(540\) 1.19056 1.85255i 0.0512335 0.0797209i
\(541\) −4.84353 3.11275i −0.208240 0.133827i 0.432364 0.901699i \(-0.357679\pi\)
−0.640604 + 0.767872i \(0.721316\pi\)
\(542\) −27.5871 23.9044i −1.18497 1.02678i
\(543\) −1.01734 + 3.46475i −0.0436584 + 0.148687i
\(544\) 1.27433 + 8.86318i 0.0546366 + 0.380006i
\(545\) 46.7571 40.5153i 2.00285 1.73548i
\(546\) 6.90683 9.46367i 0.295585 0.405008i
\(547\) −6.70088 + 1.96756i −0.286509 + 0.0841266i −0.421829 0.906675i \(-0.638612\pi\)
0.135320 + 0.990802i \(0.456794\pi\)
\(548\) −2.14326 0.978796i −0.0915557 0.0418121i
\(549\) −1.75024 + 12.1732i −0.0746983 + 0.519538i
\(550\) −77.1128 119.990i −3.28810 5.11639i
\(551\) 2.92495 0.124607
\(552\) −7.65569 + 8.36668i −0.325848 + 0.356109i
\(553\) 33.2377 18.6762i 1.41341 0.794193i
\(554\) 21.7293 13.9646i 0.923189 0.593298i
\(555\) −0.258579 + 1.79845i −0.0109761 + 0.0763401i
\(556\) 1.53665 + 0.701762i 0.0651683 + 0.0297614i
\(557\) 3.37688 + 11.5006i 0.143083 + 0.487296i 0.999584 0.0288497i \(-0.00918443\pi\)
−0.856501 + 0.516146i \(0.827366\pi\)
\(558\) 1.50573 0.687642i 0.0637425 0.0291102i
\(559\) −10.6986 12.3469i −0.452503 0.522216i
\(560\) 43.4129 33.3280i 1.83453 1.40837i
\(561\) −19.8625 5.83214i −0.838593 0.246233i
\(562\) −23.5101 20.3716i −0.991715 0.859326i
\(563\) −29.0360 18.6603i −1.22372 0.786439i −0.240821 0.970569i \(-0.577417\pi\)
−0.982902 + 0.184130i \(0.941053\pi\)
\(564\) 0.168315 + 0.108170i 0.00708736 + 0.00455477i
\(565\) −3.55963 3.08444i −0.149755 0.129763i
\(566\) 19.8252 + 5.82120i 0.833315 + 0.244683i
\(567\) −2.09864 + 1.61112i −0.0881345 + 0.0676608i
\(568\) 8.53492 + 9.84982i 0.358117 + 0.413289i
\(569\) −4.96173 + 2.26595i −0.208007 + 0.0949934i −0.516694 0.856170i \(-0.672838\pi\)
0.308688 + 0.951164i \(0.400110\pi\)
\(570\) −6.60979 22.5109i −0.276853 0.942876i
\(571\) 12.6026 + 5.75540i 0.527401 + 0.240856i 0.661277 0.750142i \(-0.270015\pi\)
−0.133876 + 0.990998i \(0.542742\pi\)
\(572\) 1.30491 9.07585i 0.0545610 0.379480i
\(573\) −8.20508 + 5.27308i −0.342772 + 0.220286i
\(574\) −20.1131 + 11.3015i −0.839504 + 0.471716i
\(575\) 65.7778 + 11.2813i 2.74312 + 0.470464i
\(576\) −5.07905 −0.211627
\(577\) −12.3923 19.2828i −0.515898 0.802752i 0.481378 0.876513i \(-0.340136\pi\)
−0.997276 + 0.0737605i \(0.976500\pi\)
\(578\) −1.52674 + 10.6187i −0.0635042 + 0.441681i
\(579\) −9.09629 4.15414i −0.378029 0.172640i
\(580\) 1.81378 0.532574i 0.0753131 0.0221139i
\(581\) −21.2216 + 29.0776i −0.880420 + 1.20634i
\(582\) −10.6864 + 9.25980i −0.442965 + 0.383831i
\(583\) −1.73249 12.0497i −0.0717522 0.499048i
\(584\) 5.68020 19.3450i 0.235048 0.800502i
\(585\) 9.19399 + 7.96664i 0.380125 + 0.329380i
\(586\) 35.1295 + 22.5763i 1.45118 + 0.932620i
\(587\) 10.5012 16.3403i 0.433433 0.674434i −0.553992 0.832522i \(-0.686896\pi\)
0.987425 + 0.158087i \(0.0505327\pi\)
\(588\) 3.37547 1.08076i 0.139202 0.0445699i
\(589\) 1.00373 3.41839i 0.0413580 0.140852i
\(590\) 28.1626 4.04917i 1.15943 0.166702i
\(591\) 0.199342 0.172731i 0.00819985 0.00710521i
\(592\) −1.80744 + 0.825428i −0.0742851 + 0.0339249i
\(593\) −6.89822 23.4932i −0.283276 0.964749i −0.971060 0.238834i \(-0.923235\pi\)
0.687785 0.725915i \(-0.258583\pi\)
\(594\) −4.25784 + 9.32337i −0.174701 + 0.382543i
\(595\) −34.3146 + 13.2752i −1.40676 + 0.544229i
\(596\) −0.867474 1.34982i −0.0355331 0.0552906i
\(597\) 8.10303i 0.331635i
\(598\) 13.4681 + 16.4203i 0.550751 + 0.671475i
\(599\) −34.5820 −1.41298 −0.706491 0.707722i \(-0.749723\pi\)
−0.706491 + 0.707722i \(0.749723\pi\)
\(600\) 17.7908 + 27.6830i 0.726305 + 1.13015i
\(601\) 22.4351 + 3.22568i 0.915147 + 0.131578i 0.583769 0.811920i \(-0.301577\pi\)
0.331378 + 0.943498i \(0.392487\pi\)
\(602\) −2.04122 24.3790i −0.0831941 0.993615i
\(603\) −1.75121 5.96407i −0.0713148 0.242876i
\(604\) −0.260987 0.571482i −0.0106194 0.0232533i
\(605\) 88.0525 + 101.618i 3.57984 + 4.13136i
\(606\) 0.288576 + 2.00709i 0.0117226 + 0.0815326i
\(607\) −2.43150 + 8.28094i −0.0986917 + 0.336113i −0.994007 0.109321i \(-0.965132\pi\)
0.895315 + 0.445434i \(0.146951\pi\)
\(608\) 6.24881 7.21152i 0.253423 0.292466i
\(609\) −2.26718 0.134524i −0.0918709 0.00545119i
\(610\) 71.2370 + 45.7812i 2.88430 + 1.85363i
\(611\) −0.723818 + 0.835331i −0.0292826 + 0.0337939i
\(612\) −1.55336 0.456109i −0.0627910 0.0184371i
\(613\) 18.3847 2.64332i 0.742550 0.106763i 0.239351 0.970933i \(-0.423065\pi\)
0.503199 + 0.864171i \(0.332156\pi\)
\(614\) 20.9095 18.1182i 0.843839 0.731191i
\(615\) −9.95153 21.7908i −0.401284 0.878690i
\(616\) −28.2920 + 28.9870i −1.13992 + 1.16792i
\(617\) −28.4333 12.9851i −1.14468 0.522759i −0.249463 0.968384i \(-0.580254\pi\)
−0.895220 + 0.445625i \(0.852981\pi\)
\(618\) −18.3699 2.64120i −0.738947 0.106245i
\(619\) 29.9926 19.2751i 1.20550 0.774730i 0.225604 0.974219i \(-0.427565\pi\)
0.979900 + 0.199489i \(0.0639282\pi\)
\(620\) 2.30252i 0.0924716i
\(621\) −1.87352 4.41474i −0.0751819 0.177157i
\(622\) 36.9726i 1.48246i
\(623\) 0.620515 + 0.329117i 0.0248604 + 0.0131858i
\(624\) −1.89335 + 13.1685i −0.0757946 + 0.527163i
\(625\) 41.1561 90.1194i 1.64625 3.60477i
\(626\) −4.24435 + 1.24625i −0.169638 + 0.0498103i
\(627\) 9.16408 + 20.0665i 0.365978 + 0.801381i
\(628\) −1.16358 1.34284i −0.0464318 0.0535852i
\(629\) 1.32217 0.190100i 0.0527185 0.00757978i
\(630\) 4.08804 + 17.7526i 0.162872 + 0.707279i
\(631\) −9.56890 8.29150i −0.380932 0.330080i 0.443257 0.896395i \(-0.353823\pi\)
−0.824189 + 0.566315i \(0.808368\pi\)
\(632\) −18.4225 + 28.6660i −0.732808 + 1.14027i
\(633\) −9.48375 + 14.7570i −0.376945 + 0.586538i
\(634\) 10.6814 12.3270i 0.424213 0.489567i
\(635\) −22.8806 6.71836i −0.907991 0.266610i
\(636\) −0.135491 0.942360i −0.00537256 0.0373670i
\(637\) 3.25597 + 19.3073i 0.129006 + 0.764983i
\(638\) −8.00338 + 3.65502i −0.316857 + 0.144704i
\(639\) −5.28831 + 1.55279i −0.209202 + 0.0614274i
\(640\) −24.6471 + 53.9696i −0.974262 + 2.13334i
\(641\) 36.7770 + 5.28773i 1.45260 + 0.208853i 0.822990 0.568056i \(-0.192304\pi\)
0.629614 + 0.776908i \(0.283213\pi\)
\(642\) −6.10634 + 3.92431i −0.240998 + 0.154880i
\(643\) 13.5856 0.535762 0.267881 0.963452i \(-0.413677\pi\)
0.267881 + 0.963452i \(0.413677\pi\)
\(644\) 0.362663 + 6.41430i 0.0142909 + 0.252759i
\(645\) 25.4026 1.00023
\(646\) −14.5100 + 9.32499i −0.570887 + 0.366887i
\(647\) −14.4729 2.08089i −0.568988 0.0818081i −0.148184 0.988960i \(-0.547343\pi\)
−0.420804 + 0.907152i \(0.638252\pi\)
\(648\) 0.982329 2.15100i 0.0385895 0.0844993i
\(649\) −25.6693 + 7.53718i −1.00761 + 0.295860i
\(650\) 56.0542 25.5991i 2.19862 1.00408i
\(651\) −0.935227 + 2.60349i −0.0366544 + 0.102039i
\(652\) 0.0523119 + 0.363837i 0.00204869 + 0.0142490i
\(653\) −42.4066 12.4517i −1.65950 0.487273i −0.688276 0.725449i \(-0.741632\pi\)
−0.971222 + 0.238176i \(0.923451\pi\)
\(654\) −14.7477 + 17.0197i −0.576680 + 0.665525i
\(655\) 43.7682 68.1047i 1.71017 2.66107i
\(656\) 14.1635 22.0389i 0.552992 0.860473i
\(657\) 6.44362 + 5.58343i 0.251390 + 0.217830i
\(658\) −1.61293 + 0.371424i −0.0628786 + 0.0144796i
\(659\) −24.4618 + 3.51708i −0.952896 + 0.137006i −0.601191 0.799105i \(-0.705307\pi\)
−0.351705 + 0.936111i \(0.614398\pi\)
\(660\) 9.33641 + 10.7748i 0.363419 + 0.419408i
\(661\) −4.23967 9.28358i −0.164904 0.361090i 0.809083 0.587695i \(-0.199964\pi\)
−0.973987 + 0.226605i \(0.927237\pi\)
\(662\) 23.4296 6.87956i 0.910618 0.267382i
\(663\) 3.71533 8.13544i 0.144291 0.315954i
\(664\) 4.57884 31.8465i 0.177693 1.23589i
\(665\) 34.6380 + 18.3717i 1.34320 + 0.712425i
\(666\) 0.661375i 0.0256278i
\(667\) 1.26628 3.91726i 0.0490305 0.151677i
\(668\) 8.99760i 0.348128i
\(669\) 8.75399 5.62585i 0.338449 0.217508i
\(670\) −42.3633 6.09093i −1.63664 0.235313i
\(671\) −72.4271 33.0763i −2.79602 1.27690i
\(672\) −5.17524 + 5.30238i −0.199639 + 0.204544i
\(673\) 19.3742 + 42.4235i 0.746819 + 1.63531i 0.771999 + 0.635623i \(0.219257\pi\)
−0.0251801 + 0.999683i \(0.508016\pi\)
\(674\) 17.0065 14.7362i 0.655066 0.567618i
\(675\) −13.7742 + 1.98044i −0.530171 + 0.0762270i
\(676\) −2.51461 0.738356i −0.0967157 0.0283983i
\(677\) −1.94393 + 2.24342i −0.0747114 + 0.0862215i −0.791875 0.610684i \(-0.790895\pi\)
0.717163 + 0.696905i \(0.245440\pi\)
\(678\) 1.44231 + 0.926918i 0.0553917 + 0.0355981i
\(679\) 1.39969 23.5896i 0.0537153 0.905285i
\(680\) 21.5347 24.8524i 0.825820 0.953047i
\(681\) −6.73616 + 22.9413i −0.258130 + 0.879111i
\(682\) 1.52517 + 10.6078i 0.0584019 + 0.406194i
\(683\) −14.9509 17.2542i −0.572079 0.660214i 0.393804 0.919195i \(-0.371159\pi\)
−0.965883 + 0.258980i \(0.916613\pi\)
\(684\) 0.716687 + 1.56933i 0.0274032 + 0.0600047i
\(685\) 5.70205 + 19.4194i 0.217864 + 0.741978i
\(686\) −13.1058 + 26.2280i −0.500381 + 1.00139i
\(687\) −1.70601 0.245288i −0.0650884 0.00935830i
\(688\) 15.0190 + 23.3701i 0.572596 + 0.890976i
\(689\) 5.25949 0.200371
\(690\) −33.0093 0.893260i −1.25664 0.0340058i
\(691\) 38.5703i 1.46728i −0.679538 0.733641i \(-0.737820\pi\)
0.679538 0.733641i \(-0.262180\pi\)
\(692\) −4.07109 6.33473i −0.154759 0.240810i
\(693\) −6.18034 15.9754i −0.234772 0.606855i
\(694\) −18.2240 + 39.9050i −0.691773 + 1.51477i
\(695\) −4.08817 13.9230i −0.155073 0.528131i
\(696\) 1.84647 0.843253i 0.0699901 0.0319634i
\(697\) −13.3099 + 11.5331i −0.504148 + 0.436847i
\(698\) −5.34771 + 0.768884i −0.202414 + 0.0291027i
\(699\) −0.831924 + 2.83327i −0.0314662 + 0.107164i
\(700\) 18.2626 + 3.74129i 0.690260 + 0.141408i
\(701\) −22.1900 + 34.5282i −0.838103 + 1.30411i 0.112484 + 0.993654i \(0.464119\pi\)
−0.950586 + 0.310460i \(0.899517\pi\)
\(702\) −3.72527 2.39409i −0.140601 0.0903590i
\(703\) −1.07578 0.932173i −0.0405740 0.0351576i
\(704\) 9.26420 31.5510i 0.349158 1.18912i
\(705\) −0.244586 1.70113i −0.00921164 0.0640683i
\(706\) 32.1470 27.8556i 1.20987 1.04836i
\(707\) −2.73729 1.99774i −0.102946 0.0751329i
\(708\) −2.00749 + 0.589454i −0.0754463 + 0.0221530i
\(709\) −39.9875 18.2617i −1.50176 0.685832i −0.516407 0.856343i \(-0.672731\pi\)
−0.985356 + 0.170511i \(0.945458\pi\)
\(710\) −5.40079 + 37.5633i −0.202688 + 1.40973i
\(711\) −7.79065 12.1225i −0.292172 0.454629i
\(712\) −0.627779 −0.0235270
\(713\) −4.14357 2.82415i −0.155178 0.105765i
\(714\) 11.6758 6.56062i 0.436956 0.245525i
\(715\) −66.2585 + 42.5817i −2.47793 + 1.59247i
\(716\) 1.10445 7.68162i 0.0412752 0.287076i
\(717\) −11.5186 5.26036i −0.430170 0.196452i
\(718\) 3.14645 + 10.7158i 0.117425 + 0.399911i
\(719\) −16.7217 + 7.63656i −0.623615 + 0.284795i −0.702054 0.712123i \(-0.747734\pi\)
0.0784392 + 0.996919i \(0.475006\pi\)
\(720\) −13.5466 15.6336i −0.504852 0.582630i
\(721\) 24.6020 18.8869i 0.916225 0.703385i
\(722\) −11.2253 3.29604i −0.417762 0.122666i
\(723\) −12.6297 10.9437i −0.469705 0.407002i
\(724\) −1.53811 0.988481i −0.0571633 0.0367366i
\(725\) −10.0494 6.45833i −0.373224 0.239856i
\(726\) −36.9893 32.0514i −1.37280 1.18954i
\(727\) 23.6414 + 6.94173i 0.876810 + 0.257455i 0.689009 0.724753i \(-0.258046\pi\)
0.187801 + 0.982207i \(0.439864\pi\)
\(728\) −10.6565 13.8811i −0.394958 0.514469i
\(729\) 0.654861 + 0.755750i 0.0242541 + 0.0279907i
\(730\) 53.4010 24.3874i 1.97646 0.902619i
\(731\) −5.26145 17.9188i −0.194602 0.662752i
\(732\) −5.66424 2.58677i −0.209356 0.0956098i
\(733\) −1.26423 + 8.79290i −0.0466953 + 0.324773i 0.953063 + 0.302773i \(0.0979125\pi\)
−0.999758 + 0.0220000i \(0.992997\pi\)
\(734\) −13.1908 + 8.47718i −0.486879 + 0.312898i
\(735\) −26.0036 15.8333i −0.959155 0.584020i
\(736\) −6.95282 11.4908i −0.256284 0.423556i
\(737\) 40.2429 1.48237
\(738\) 4.71435 + 7.33567i 0.173538 + 0.270030i
\(739\) −4.71648 + 32.8039i −0.173499 + 1.20671i 0.697922 + 0.716174i \(0.254108\pi\)
−0.871421 + 0.490536i \(0.836801\pi\)
\(740\) −0.836830 0.382167i −0.0307625 0.0140488i
\(741\) −9.14477 + 2.68515i −0.335942 + 0.0986414i
\(742\) 6.36176 + 4.64298i 0.233548 + 0.170449i
\(743\) 4.57214 3.96178i 0.167735 0.145344i −0.566948 0.823753i \(-0.691876\pi\)
0.734684 + 0.678410i \(0.237331\pi\)
\(744\) −0.351874 2.44734i −0.0129003 0.0897237i
\(745\) −3.88302 + 13.2243i −0.142263 + 0.484502i
\(746\) 29.4077 + 25.4820i 1.07669 + 0.932961i
\(747\) 11.4461 + 7.35596i 0.418791 + 0.269140i
\(748\) 5.66668 8.81753i 0.207194 0.322401i
\(749\) 2.43454 11.8839i 0.0889562 0.434226i
\(750\) −17.2955 + 58.9031i −0.631543 + 2.15084i
\(751\) −11.7740 + 1.69285i −0.429640 + 0.0617730i −0.353743 0.935343i \(-0.615091\pi\)
−0.0758974 + 0.997116i \(0.524182\pi\)
\(752\) 1.42041 1.23079i 0.0517970 0.0448824i
\(753\) −3.87897 + 1.77147i −0.141357 + 0.0645558i
\(754\) −1.07095 3.64732i −0.0390017 0.132828i
\(755\) −2.24183 + 4.90893i −0.0815887 + 0.178654i
\(756\) −0.483340 1.24937i −0.0175789 0.0454393i
\(757\) −3.32153 5.16840i −0.120723 0.187849i 0.775632 0.631185i \(-0.217431\pi\)
−0.896355 + 0.443336i \(0.853795\pi\)
\(758\) 29.9311i 1.08715i
\(759\) 30.8416 3.58580i 1.11948 0.130156i
\(760\) −35.0434 −1.27116
\(761\) 8.94017 + 13.9112i 0.324081 + 0.504280i 0.964619 0.263646i \(-0.0849252\pi\)
−0.640539 + 0.767926i \(0.721289\pi\)
\(762\) 8.59189 + 1.23533i 0.311251 + 0.0447512i
\(763\) −3.14024 37.5049i −0.113684 1.35777i
\(764\) −1.39130 4.73834i −0.0503356 0.171427i
\(765\) 5.77694 + 12.6497i 0.208866 + 0.457352i
\(766\) 14.1193 + 16.2945i 0.510151 + 0.588745i
\(767\) −1.64493 11.4407i −0.0593948 0.413100i
\(768\) 3.22265 10.9753i 0.116287 0.396039i
\(769\) 31.8636 36.7726i 1.14903 1.32605i 0.211813 0.977310i \(-0.432063\pi\)
0.937219 0.348742i \(-0.113391\pi\)
\(770\) −117.735 6.98586i −4.24288 0.251753i
\(771\) −2.96702 1.90679i −0.106855 0.0686713i
\(772\) 3.31571 3.82654i 0.119335 0.137720i
\(773\) −21.0647 6.18515i −0.757644