Properties

Label 483.2.r.a.412.8
Level $483$
Weight $2$
Character 483.412
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 412.8
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33182 - 0.855909i) q^{2} +(0.989821 - 0.142315i) q^{3} +(0.210335 + 0.460569i) q^{4} +(4.17306 + 1.22532i) q^{5} +(-1.44007 - 0.657659i) q^{6} +(-2.59192 - 0.530984i) q^{7} +(-0.336531 + 2.34062i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(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} +(-2.59192 - 0.530984i) 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} +(2.99750 + 2.92562i) 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} +(-2.64111 - 0.156711i) 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} +(-0.300616 - 1.30544i) 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} +(-10.1656 - 5.39177i) 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} +(3.38335 + 2.46926i) 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} +(6.43611 + 2.75254i) 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} +(2.11510 - 5.88802i) 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} +(-2.63653 + 0.220753i) 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} +(6.18034 + 15.9754i) 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} +(-0.483340 - 1.24937i) 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} +(-6.21582 - 9.17461i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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 −0.0228516 0.999739i \(-0.507275\pi\)
−0.918887 + 0.394520i \(0.870911\pi\)
\(3\) 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 0.998719 + 0.0505996i \(0.0161132\pi\)
0.867532 + 0.497381i \(0.165705\pi\)
\(6\) −1.44007 0.657659i −0.587907 0.268488i
\(7\) −2.59192 0.530984i −0.979654 0.200693i
\(8\) −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 −0.710776 0.703419i \(-0.751656\pi\)
−0.344585 0.938755i \(-0.611980\pi\)
\(12\) 0.273740 + 0.425947i 0.0790219 + 0.122960i
\(13\) 2.11393 1.83173i 0.586299 0.508031i −0.310439 0.950593i \(-0.600476\pi\)
0.896738 + 0.442563i \(0.145931\pi\)
\(14\) 2.99750 + 2.92562i 0.801115 + 0.781906i
\(15\) 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 \(-0.736890\pi\)
0.999544 + 0.0302087i \(0.00961718\pi\)
\(18\) −1.51901 0.446021i −0.358034 0.105128i
\(19\) 1.41547 + 3.09945i 0.324731 + 0.711062i 0.999640 0.0268395i \(-0.00854430\pi\)
−0.674909 + 0.737901i \(0.735817\pi\)
\(20\) 0.313395 + 2.17971i 0.0700773 + 0.487399i
\(21\) −2.64111 0.156711i −0.576337 0.0341971i
\(22\) 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
\(28\) −0.300616 1.30544i −0.0568112 0.246706i
\(29\) −0.356601 + 0.780848i −0.0662192 + 0.145000i −0.939848 0.341594i \(-0.889033\pi\)
0.873629 + 0.486593i \(0.161761\pi\)
\(30\) −5.20367 4.50901i −0.950056 0.823228i
\(31\) 1.03495 + 0.148803i 0.185882 + 0.0267258i 0.234627 0.972085i \(-0.424613\pi\)
−0.0487450 + 0.998811i \(0.515522\pi\)
\(32\) −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
\(35\) −10.1656 5.39177i −1.71830 0.911376i
\(36\) 0.331572 + 0.382655i 0.0552620 + 0.0637758i
\(37\) −0.117697 0.400840i −0.0193493 0.0658977i 0.949252 0.314515i \(-0.101842\pi\)
−0.968602 + 0.248618i \(0.920024\pi\)
\(38\) 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 −0.745037 0.667023i \(-0.767568\pi\)
0.987385 0.158338i \(-0.0506137\pi\)
\(42\) 3.38335 + 2.46926i 0.522062 + 0.381015i
\(43\) 5.78126 0.831220i 0.881634 0.126760i 0.313394 0.949623i \(-0.398534\pi\)
0.568239 + 0.822863i \(0.307625\pi\)
\(44\) 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
\(49\) 6.43611 + 2.75254i 0.919444 + 0.393220i
\(50\) −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 0.551779 0.833990i \(-0.313949\pi\)
−0.746975 + 0.664852i \(0.768495\pi\)
\(54\) −1.56702 0.225304i −0.213245 0.0306600i
\(55\) −7.93303 27.0174i −1.06969 3.64303i
\(56\) 2.11510 5.88802i 0.282642 0.786820i
\(57\) 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 \(-0.813961\pi\)
0.427440 + 0.904044i \(0.359415\pi\)
\(60\) 0.620411 + 2.11293i 0.0800947 + 0.272777i
\(61\) −1.75024 + 12.1732i −0.224095 + 1.55861i 0.498220 + 0.867050i \(0.333987\pi\)
−0.722315 + 0.691564i \(0.756922\pi\)
\(62\) −1.25100 1.08400i −0.158878 0.137668i
\(63\) −2.63653 + 0.220753i −0.332171 + 0.0278122i
\(64\) −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 −0.983532 0.180734i \(-0.942153\pi\)
0.572976 + 0.819572i \(0.305789\pi\)
\(68\) 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 0.235776 0.971807i \(-0.424237\pi\)
−0.786042 + 0.618173i \(0.787873\pi\)
\(72\) 0.336531 + 2.34062i 0.0396606 + 0.275845i
\(73\) −7.75564 + 3.54188i −0.907729 + 0.414546i −0.813875 0.581040i \(-0.802646\pi\)
−0.0938541 + 0.995586i \(0.529919\pi\)
\(74\) −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
\(77\) 6.18034 + 15.9754i 0.704316 + 1.82057i
\(78\) −4.24887 + 1.24758i −0.481089 + 0.141261i
\(79\) −10.8904 + 9.43656i −1.22526 + 1.06170i −0.229170 + 0.973386i \(0.573601\pi\)
−0.996093 + 0.0883098i \(0.971853\pi\)
\(80\) 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 \(-0.859285\pi\)
−0.529089 + 0.848566i \(0.677466\pi\)
\(84\) −0.483340 1.24937i −0.0527368 0.136318i
\(85\) 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 \(-0.0499334\pi\)
−0.991726 + 0.128374i \(0.959024\pi\)
\(90\) −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 \(-0.259288\pi\)
0.183966 + 0.982933i \(0.441106\pi\)
\(98\) −6.21582 9.17461i −0.627893 0.926776i
\(99\) −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 \(-0.0706114\pi\)
−0.939590 + 0.342302i \(0.888793\pi\)
\(102\) −3.82560 + 3.31490i −0.378790 + 0.328224i
\(103\) 9.86187 6.33784i 0.971719 0.624486i 0.0445013 0.999009i \(-0.485830\pi\)
0.927217 + 0.374524i \(0.122194\pi\)
\(104\) 3.57599 + 5.56435i 0.350655 + 0.545629i
\(105\) −10.8295 3.89017i −1.05685 0.379642i
\(106\) 0.838661 + 2.85622i 0.0814580 + 0.277420i
\(107\) −4.53829 0.652508i −0.438733 0.0630803i −0.0805907 0.996747i \(-0.525681\pi\)
−0.358142 + 0.933667i \(0.616590\pi\)
\(108\) 0.382655 + 0.331572i 0.0368210 + 0.0319055i
\(109\) −12.9396 5.90933i −1.23939 0.566012i −0.315595 0.948894i \(-0.602204\pi\)
−0.923797 + 0.382882i \(0.874931\pi\)
\(110\) −12.5591 + 42.7723i −1.19746 + 4.07818i
\(111\) −0.173545 0.380010i −0.0164721 0.0360689i
\(112\) −9.98172 + 7.66296i −0.943184 + 0.724081i
\(113\) 0.585494 0.911047i 0.0550787 0.0857041i −0.812622 0.582791i \(-0.801961\pi\)
0.867701 + 0.497087i \(0.165597\pi\)
\(114\) 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
\(119\) −4.98712 + 6.83330i −0.457169 + 0.626408i
\(120\) −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
\(126\) 3.70032 + 1.96262i 0.329651 + 0.174844i
\(127\) 4.61254 2.96430i 0.409297 0.263039i −0.319751 0.947501i \(-0.603599\pi\)
0.729048 + 0.684462i \(0.239963\pi\)
\(128\) 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 0.995702 + 0.0926144i \(0.0295224\pi\)
0.233375 + 0.972387i \(0.425023\pi\)
\(132\) 1.36176 2.98183i 0.118526 0.259535i
\(133\) −2.02303 8.78511i −0.175419 0.761766i
\(134\) 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 \(0.0637006\pi\)
−0.980042 + 0.198788i \(0.936299\pi\)
\(138\) −7.22438 + 2.33532i −0.614980 + 0.198796i
\(139\) 3.33641i 0.282990i 0.989939 + 0.141495i \(0.0451910\pi\)
−0.989939 + 0.141495i \(0.954809\pi\)
\(140\) 0.345097 5.81605i 0.0291660 0.491546i
\(141\) −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
\(147\) 6.76233 + 1.80857i 0.557747 + 0.149168i
\(148\) 0.159859 0.138518i 0.0131403 0.0113861i
\(149\) 1.71328 + 2.66591i 0.140357 + 0.218400i 0.904315 0.426867i \(-0.140383\pi\)
−0.763957 + 0.645267i \(0.776746\pi\)
\(150\) −11.9107 18.5334i −0.972507 1.51325i
\(151\) 0.812563 + 0.937747i 0.0661254 + 0.0763128i 0.787848 0.615869i \(-0.211195\pi\)
−0.721723 + 0.692182i \(0.756650\pi\)
\(152\) −7.73099 + 2.27002i −0.627066 + 0.184123i
\(153\) 0.455043 3.16490i 0.0367881 0.255867i
\(154\) 5.44238 26.5662i 0.438560 2.14076i
\(155\) 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 \(-0.181085\pi\)
−0.958842 + 0.283941i \(0.908358\pi\)
\(158\) 22.5809 3.24664i 1.79644 0.258289i
\(159\) −1.58182 1.01658i −0.125447 0.0806197i
\(160\) −12.1799 −0.962905
\(161\) −10.8897 + 6.51263i −0.858229 + 0.513267i
\(162\) −1.58314 −0.124383
\(163\) −0.610728 0.392491i −0.0478359 0.0307423i 0.516504 0.856285i \(-0.327233\pi\)
−0.564340 + 0.825542i \(0.690869\pi\)
\(164\) 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 \(-0.604954\pi\)
−0.927070 + 0.374888i \(0.877681\pi\)
\(168\) 1.25562 6.12910i 0.0968728 0.472870i
\(169\) −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 −0.999560 0.0296574i \(-0.990558\pi\)
0.388255 0.921552i \(-0.373078\pi\)
\(174\) 1.02706 0.889955i 0.0778615 0.0674673i
\(175\) −26.3482 25.7164i −1.99174 1.94398i
\(176\) −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 0.780540 0.625106i \(-0.214944\pi\)
0.318674 + 0.947864i \(0.396762\pi\)
\(180\) 0.914797 + 2.00313i 0.0681849 + 0.149304i
\(181\) −0.513903 3.57427i −0.0381981 0.265673i 0.961768 0.273864i \(-0.0883019\pi\)
−0.999966 + 0.00819071i \(0.997393\pi\)
\(182\) 11.6955 + 0.693954i 0.866925 + 0.0514393i
\(183\) 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
\(189\) −2.57827 + 0.593723i −0.187542 + 0.0431870i
\(190\) 9.74614 21.3411i 0.707059 1.54824i
\(191\) 7.37112 + 6.38711i 0.533356 + 0.462155i 0.879414 0.476058i \(-0.157935\pi\)
−0.346058 + 0.938213i \(0.612480\pi\)
\(192\) −5.02735 0.722824i −0.362818 0.0521653i
\(193\) 9.59490 2.81732i 0.690656 0.202795i 0.0824749 0.996593i \(-0.473718\pi\)
0.608181 + 0.793798i \(0.291899\pi\)
\(194\) −9.25980 10.6864i −0.664815 0.767238i
\(195\) 10.2342 6.57711i 0.732885 0.470996i
\(196\) 0.0860040 + 3.54323i 0.00614314 + 0.253088i
\(197\) −0.172731 0.199342i −0.0123066 0.0142026i 0.749563 0.661933i \(-0.230264\pi\)
−0.761870 + 0.647731i \(0.775718\pi\)
\(198\) 2.88765 + 9.83443i 0.205216 + 0.698902i
\(199\) −1.15318 + 8.02055i −0.0817469 + 0.568562i 0.907246 + 0.420600i \(0.138180\pi\)
−0.988993 + 0.147962i \(0.952729\pi\)
\(200\) −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
\(203\) 1.33890 1.83455i 0.0939724 0.128760i
\(204\) 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
\(210\) 11.0933 + 14.4501i 0.765510 + 0.997149i
\(211\) 7.28708 + 15.9565i 0.501663 + 1.09849i 0.975925 + 0.218106i \(0.0699877\pi\)
−0.474262 + 0.880384i \(0.657285\pi\)
\(212\) 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
\(217\) −2.60349 0.935227i −0.176737 0.0634874i
\(218\) 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 \(-0.159447\pi\)
−0.350513 + 0.936558i \(0.613993\pi\)
\(224\) 7.38350 0.618211i 0.493331 0.0413059i
\(225\) 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 −0.715333 0.698784i \(-0.753725\pi\)
0.489487 0.872011i \(-0.337184\pi\)
\(228\) −0.932731 + 1.45136i −0.0617716 + 0.0961185i
\(229\) −1.72356 −0.113896 −0.0569479 0.998377i \(-0.518137\pi\)
−0.0569479 + 0.998377i \(0.518137\pi\)
\(230\) −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 0.998946 0.0459071i \(-0.0146178\pi\)
−0.971415 + 0.237388i \(0.923709\pi\)
\(234\) −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
\(238\) 12.4906 4.83220i 0.809647 0.313225i
\(239\) 12.1500 3.56755i 0.785917 0.230766i 0.135937 0.990718i \(-0.456596\pi\)
0.649980 + 0.759952i \(0.274777\pi\)
\(240\) 15.6336 13.5466i 1.00914 0.874429i
\(241\) −14.0586 + 9.03494i −0.905597 + 0.581992i −0.908445 0.418004i \(-0.862730\pi\)
0.00284827 + 0.999996i \(0.499093\pi\)
\(242\) 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
\(245\) 23.4856 + 19.3728i 1.50044 + 1.23768i
\(246\) −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 \(-0.361151\pi\)
−0.648939 + 0.760840i \(0.724787\pi\)
\(252\) −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 \(-0.671449\pi\)
0.312833 + 0.949808i \(0.398722\pi\)
\(258\) −8.87209 2.60508i −0.552352 0.162185i
\(259\) 0.0922222 + 1.10144i 0.00573041 + 0.0684402i
\(260\) 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 −0.872232 0.489093i \(-0.837328\pi\)
0.359983 + 0.932959i \(0.382783\pi\)
\(264\) 12.8792 8.27699i 0.792663 0.509413i
\(265\) −4.42133 6.87973i −0.271600 0.422618i
\(266\) −4.82495 + 13.4317i −0.295836 + 0.823551i
\(267\) −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 \(-0.439954\pi\)
−0.945575 + 0.325405i \(0.894499\pi\)
\(270\) −6.26322 2.86032i −0.381167 0.174073i
\(271\) −6.49601 + 22.1234i −0.394604 + 1.34390i 0.487614 + 0.873059i \(0.337867\pi\)
−0.882219 + 0.470840i \(0.843951\pi\)
\(272\) −6.31761 13.8336i −0.383061 0.838787i
\(273\) −5.87017 + 4.50652i −0.355279 + 0.272747i
\(274\) 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
\(280\) 16.0412 21.9794i 0.958643 1.31352i
\(281\) 5.53599 18.8539i 0.330250 1.12473i −0.612290 0.790633i \(-0.709752\pi\)
0.942540 0.334094i \(-0.108430\pi\)
\(282\) −0.259878 + 0.569052i −0.0154755 + 0.0338866i
\(283\) 8.54684 9.86358i 0.508057 0.586329i −0.442543 0.896747i \(-0.645924\pi\)
0.950600 + 0.310418i \(0.100469\pi\)
\(284\) 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
\(287\) −6.82830 + 12.8741i −0.403062 + 0.759931i
\(288\) −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 −0.259787 0.965666i \(-0.583652\pi\)
0.899926 0.436043i \(-0.143620\pi\)
\(294\) −7.45823 8.19662i −0.434973 0.478037i
\(295\) −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
\(301\) −15.4259 0.915303i −0.889136 0.0527572i
\(302\) −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 \(-0.288353\pi\)
0.370280 + 0.928920i \(0.379262\pi\)
\(308\) −6.05783 + 6.20666i −0.345177 + 0.353657i
\(309\) 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 0.988398 + 0.151884i \(0.0485340\pi\)
−0.272437 + 0.962174i \(0.587830\pi\)
\(312\) 4.33148 + 4.99880i 0.245222 + 0.283001i
\(313\) −2.68097 + 0.787205i −0.151538 + 0.0444954i −0.356622 0.934249i \(-0.616071\pi\)
0.205084 + 0.978744i \(0.434253\pi\)
\(314\) −0.790654 + 5.49912i −0.0446192 + 0.310333i
\(315\) −11.2729 2.30938i −0.635155 0.130119i
\(316\) −6.63681 3.03093i −0.373350 0.170503i
\(317\) −9.88559 2.90267i −0.555230 0.163030i −0.00793265 0.999969i \(-0.502525\pi\)
−0.547297 + 0.836938i \(0.684343\pi\)
\(318\) 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
\(322\) 20.0773 + 0.646947i 1.11887 + 0.0360529i
\(323\) 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
\(329\) −0.209821 + 1.02421i −0.0115678 + 0.0564666i
\(330\) −6.34411 + 44.1243i −0.349232 + 2.42896i
\(331\) −14.7995 + 4.34552i −0.813454 + 0.238852i −0.661895 0.749597i \(-0.730247\pi\)
−0.151559 + 0.988448i \(0.548429\pi\)
\(332\) −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
\(336\) −8.78957 + 9.00551i −0.479510 + 0.491291i
\(337\) −14.0694 2.02287i −0.766408 0.110193i −0.251987 0.967731i \(-0.581084\pi\)
−0.514421 + 0.857538i \(0.671993\pi\)
\(338\) 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
\(343\) −15.2203 10.5518i −0.821821 0.569746i
\(344\) 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 0.987086 0.160188i \(-0.0512102\pi\)
0.264338 + 0.964430i \(0.414847\pi\)
\(348\) −0.430216 + 0.0618557i −0.0230620 + 0.00331581i
\(349\) −3.10426 + 1.41767i −0.166167 + 0.0758860i −0.496762 0.867887i \(-0.665478\pi\)
0.330595 + 0.943773i \(0.392751\pi\)
\(350\) 13.0802 + 56.8013i 0.699164 + 3.03616i
\(351\) 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 \(-0.200956\pi\)
0.608266 + 0.793733i \(0.291865\pi\)
\(354\) 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
\(357\) −3.96388 + 7.47349i −0.209791 + 0.395539i
\(358\) −15.8904 18.3385i −0.839833 0.969219i
\(359\) 1.98748 + 6.76873i 0.104895 + 0.357240i 0.995168 0.0981877i \(-0.0313046\pi\)
−0.890273 + 0.455428i \(0.849486\pi\)
\(360\) −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
\(364\) −3.02670 2.20897i −0.158642 0.115781i
\(365\) −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 \(-0.583228\pi\)
−0.258500 + 0.966011i \(0.583228\pi\)
\(368\) −0.617041 22.8020i −0.0321655 1.18864i
\(369\) 5.50801i 0.286735i
\(370\) −1.55514 + 2.41985i −0.0808480 + 0.125802i
\(371\) 3.02942 + 3.94610i 0.157280 + 0.204872i
\(372\) 0.219924 + 0.481567i 0.0114025 + 0.0249681i
\(373\) −6.92472 + 23.5834i −0.358548 + 1.22110i 0.560897 + 0.827886i \(0.310456\pi\)
−0.919445 + 0.393218i \(0.871362\pi\)
\(374\) 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
\(378\) 3.94197 + 1.41604i 0.202753 + 0.0728330i
\(379\) 10.2215 + 15.9049i 0.525042 + 0.816981i 0.997941 0.0641354i \(-0.0204290\pi\)
−0.472899 + 0.881116i \(0.656793\pi\)
\(380\) −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 −0.878453 0.477830i \(-0.841424\pi\)
0.977489 0.210985i \(-0.0676673\pi\)
\(384\) 10.3098 + 8.93345i 0.526117 + 0.455883i
\(385\) 6.21596 + 74.2393i 0.316795 + 3.78358i
\(386\) −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 −0.779706 0.626146i \(-0.784631\pi\)
0.893464 + 0.449135i \(0.148268\pi\)
\(390\) −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 \(-0.0189782\pi\)
0.608665 + 0.793428i \(0.291705\pi\)
\(398\) 8.40069 9.69491i 0.421089 0.485962i
\(399\) −3.25269 8.40779i −0.162838 0.420916i
\(400\) 63.5068 18.6473i 3.17534 0.932364i
\(401\) −15.6983 + 13.6027i −0.783936 + 0.679285i −0.951866 0.306514i \(-0.900837\pi\)
0.167930 + 0.985799i \(0.446292\pi\)
\(402\) 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
\(406\) −3.35338 + 1.29731i −0.166425 + 0.0643844i
\(407\) −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 −0.831170 0.556018i \(-0.812329\pi\)
0.999831 0.0183874i \(-0.00585321\pi\)
\(410\) −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 \(-0.536078\pi\)
−0.632316 + 0.774710i \(0.717896\pi\)
\(420\) −0.486126 5.80596i −0.0237205 0.283302i
\(421\) 7.27680 + 6.30538i 0.354649 + 0.307305i 0.813904 0.580999i \(-0.197338\pi\)
−0.459255 + 0.888305i \(0.651884\pi\)
\(422\) 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
\(427\) 11.0002 30.6225i 0.532339 1.48193i
\(428\) −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 −0.205765 0.978601i \(-0.565968\pi\)
−0.874325 + 0.485341i \(0.838696\pi\)
\(432\) 1.34000 4.56362i 0.0644708 0.219567i
\(433\) −5.56393 12.1833i −0.267385 0.585492i 0.727545 0.686060i \(-0.240661\pi\)
−0.994930 + 0.100568i \(0.967934\pi\)
\(434\) 2.66691 + 3.47391i 0.128016 + 0.166753i
\(435\) −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 −0.359110 0.933295i \(-0.616920\pi\)
0.998135 0.0610467i \(-0.0194439\pi\)
\(440\) 65.9073 9.47604i 3.14201 0.451752i
\(441\) 6.95088 + 0.827780i 0.330994 + 0.0394181i
\(442\) −3.98906 + 13.5855i −0.189740 + 0.646196i
\(443\) 2.73246 5.98326i 0.129823 0.284273i −0.833547 0.552449i \(-0.813693\pi\)
0.963370 + 0.268176i \(0.0864207\pi\)
\(444\) 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
\(448\) 11.8714 + 6.29652i 0.560872 + 0.297482i
\(449\) −21.5728 + 13.8640i −1.01809 + 0.654284i −0.939473 0.342622i \(-0.888685\pi\)
−0.0786118 + 0.996905i \(0.525049\pi\)
\(450\) −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
\(455\) −31.3657 + 7.22287i −1.47045 + 0.338613i
\(456\) −7.32924 + 3.34715i −0.343223 + 0.156745i
\(457\) 24.9848 3.59228i 1.16874 0.168040i 0.469505 0.882930i \(-0.344432\pi\)
0.699237 + 0.714890i \(0.253523\pi\)
\(458\) 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 \(0.851268\pi\)
\(462\) 1.60622 27.0703i 0.0747283 1.25942i
\(463\) −1.81269 12.6075i −0.0842429 0.585922i −0.987595 0.157022i \(-0.949810\pi\)
0.903352 0.428900i \(-0.141099\pi\)
\(464\) 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 \(-0.901076\pi\)
0.438185 + 0.898885i \(0.355621\pi\)
\(468\) 1.40184 + 0.201554i 0.0648001 + 0.00931685i
\(469\) 11.4869 11.7691i 0.530413 0.543444i
\(470\) −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
\(476\) −4.19617 0.859633i −0.192331 0.0394012i
\(477\) −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 0.924790 + 0.380478i \(0.124240\pi\)
−0.318063 + 0.948070i \(0.603032\pi\)
\(480\) −12.0559 + 1.73338i −0.550275 + 0.0791176i
\(481\) −0.983034 0.631758i −0.0448225 0.0288057i
\(482\) 26.4567 1.20507
\(483\) −9.85202 + 7.99610i −0.448282 + 0.363835i
\(484\) −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 −0.987403 0.158223i \(-0.949423\pi\)
0.527034 0.849844i \(-0.323304\pi\)
\(488\) −27.9038 8.19330i −1.26315 0.370893i
\(489\) −0.660370 0.301581i −0.0298629 0.0136379i
\(490\) −14.6972 45.9026i −0.663950 2.07367i
\(491\) 1.59403 11.0867i 0.0719375 0.500336i −0.921717 0.387863i \(-0.873213\pi\)
0.993655 0.112474i \(-0.0358774\pi\)
\(492\) 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
\(497\) 10.4356 + 10.1853i 0.468099 + 0.456875i
\(498\) 21.3209 + 3.06549i 0.955413 + 0.137368i
\(499\) 16.3288 18.8445i 0.730979 0.843594i −0.261603 0.965176i \(-0.584251\pi\)
0.992581 + 0.121581i \(0.0387965\pi\)
\(500\) −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 0.901268 + 0.433263i \(0.142638\pi\)
−0.742696 + 0.669629i \(0.766453\pi\)
\(504\) 0.370573 6.24541i 0.0165066 0.278193i
\(505\) 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 \(-0.454556\pi\)
0.415384 + 0.909646i \(0.363647\pi\)
\(510\) −20.0263 + 9.14569i −0.886778 + 0.404978i
\(511\) 21.9827 5.06216i 0.972457 0.223937i
\(512\) 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
\(518\) 0.819910 1.54585i 0.0360248 0.0679210i
\(519\) −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 0.834787 + 0.550573i \(0.185591\pi\)
−0.956087 + 0.293084i \(0.905318\pi\)
\(522\) 0.889955 1.02706i 0.0389523 0.0449533i
\(523\) 16.0829 35.2167i 0.703257 1.53992i −0.132720 0.991154i \(-0.542371\pi\)
0.835977 0.548765i \(-0.184902\pi\)
\(524\) −2.65523 + 9.04290i −0.115994 + 0.395041i
\(525\) −29.7398 21.7049i −1.29795 0.947281i
\(526\) 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
\(532\) 3.62064 2.77956i 0.156975 0.120509i
\(533\) −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
\(539\) −7.53628 44.6887i −0.324610 1.92488i
\(540\) 1.19056 + 1.85255i 0.0512335 + 0.0797209i
\(541\) −4.84353 + 3.11275i −0.208240 + 0.133827i −0.640604 0.767872i \(-0.721316\pi\)
0.432364 + 0.901699i \(0.357679\pi\)
\(542\) 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
\(546\) 11.6752 0.977547i 0.499651 0.0418351i
\(547\) −6.70088 1.96756i −0.286509 0.0841266i 0.135320 0.990802i \(-0.456794\pi\)
−0.421829 + 0.906675i \(0.638612\pi\)
\(548\) −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 −0.856501 0.516146i \(-0.827366\pi\)
0.999584 + 0.0288497i \(0.00918443\pi\)
\(558\) −1.50573 0.687642i −0.0637425 0.0291102i
\(559\) 10.6986 12.3469i 0.452503 0.522216i
\(560\) −51.0440 + 19.7472i −2.15700 + 0.834471i
\(561\) −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 \(-0.422583\pi\)
0.982902 + 0.184130i \(0.0589469\pi\)
\(564\) 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
\(567\) −2.46753 + 0.954606i −0.103627 + 0.0400897i
\(568\) 8.53492 9.84982i 0.358117 0.413289i
\(569\) −4.96173 2.26595i −0.208007 0.0949934i 0.308688 0.951164i \(-0.400110\pi\)
−0.516694 + 0.856170i \(0.672838\pi\)
\(570\) 6.60979 22.5109i 0.276853 0.942876i
\(571\) 12.6026 5.75540i 0.527401 0.240856i −0.133876 0.990998i \(-0.542742\pi\)
0.661277 + 0.750142i \(0.270015\pi\)
\(572\) −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 \(-0.659864\pi\)
0.997276 + 0.0737605i \(0.0235001\pi\)
\(578\) −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
\(581\) 35.8726 3.00356i 1.48824 0.124609i
\(582\) −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 \(-0.313104\pi\)
−0.987425 + 0.158087i \(0.949467\pi\)
\(588\) 0.589383 + 3.49492i 0.0243057 + 0.144128i
\(589\) 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 −0.687785 0.725915i \(-0.741417\pi\)
0.971060 0.238834i \(-0.0767652\pi\)
\(594\) 4.25784 + 9.32337i 0.174701 + 0.382543i
\(595\) −29.1846 + 22.4050i −1.19645 + 0.918514i
\(596\) −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 \(-0.698423\pi\)
−0.331378 + 0.943498i \(0.607513\pi\)
\(602\) 19.7612 + 14.4222i 0.805405 + 0.587806i
\(603\) −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 \(-0.0348676\pi\)
−0.895315 + 0.445434i \(0.853049\pi\)
\(608\) −6.24881 7.21152i −0.253423 0.292466i
\(609\) 1.06419 2.00642i 0.0431231 0.0813042i
\(610\) 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 0.503199 0.864171i \(-0.332156\pi\)
0.239351 + 0.970933i \(0.423065\pi\)
\(614\) −20.9095 18.1182i −0.843839 0.731191i
\(615\) 9.95153 21.7908i 0.401284 0.878690i
\(616\) −39.4723 + 9.08965i −1.59038 + 0.366232i
\(617\) −28.4333 + 12.9851i −1.14468 + 0.522759i −0.895220 0.445625i \(-0.852981\pi\)
−0.249463 + 0.968384i \(0.580254\pi\)
\(618\) −18.3699 + 2.64120i −0.738947 + 0.106245i
\(619\) −29.9926 19.2751i −1.20550 0.774730i −0.225604 0.974219i \(-0.572435\pi\)
−0.979900 + 0.199489i \(0.936072\pi\)
\(620\) 2.30252i 0.0924716i
\(621\) 1.87352 4.41474i 0.0751819 0.177157i
\(622\) 36.9726i 1.48246i
\(623\) −0.0416036 + 0.701161i −0.00166681 + 0.0280914i
\(624\) −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
\(630\) 13.0368 + 12.7242i 0.519400 + 0.506946i
\(631\) −9.56890 + 8.29150i −0.380932 + 0.330080i −0.824189 0.566315i \(-0.808368\pi\)
0.443257 + 0.896395i \(0.353823\pi\)
\(632\) −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
\(637\) 18.6474 5.97055i 0.738837 0.236562i
\(638\) −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 0.629614 0.776908i \(-0.283213\pi\)
0.822990 + 0.568056i \(0.192304\pi\)
\(642\) 6.10634 + 3.92431i 0.240998 + 0.154880i
\(643\) −13.5856 −0.535762 −0.267881 0.963452i \(-0.586323\pi\)
−0.267881 + 0.963452i \(0.586323\pi\)
\(644\) −5.29000 3.64563i −0.208455 0.143658i
\(645\) 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 \(-0.452657\pi\)
0.420804 + 0.907152i \(0.361748\pi\)
\(648\) 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
\(651\) −2.71009 0.555192i −0.106217 0.0217597i
\(652\) 0.0523119 0.363837i 0.00204869 0.0142490i
\(653\) −42.4066 + 12.4517i −1.65950 + 0.487273i −0.971222 0.238176i \(-0.923451\pi\)
−0.688276 + 0.725449i \(0.741632\pi\)
\(654\) 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
\(658\) 1.15608 1.18448i 0.0450685 0.0461757i
\(659\) −24.4618 3.51708i −0.952896 0.137006i −0.351705 0.936111i \(-0.614398\pi\)
−0.601191 + 0.799105i \(0.705307\pi\)
\(660\) 9.33641 10.7748i 0.363419 0.419408i
\(661\) 4.23967 9.28358i 0.164904 0.361090i −0.809083 0.587695i \(-0.800036\pi\)
0.973987 + 0.226605i \(0.0727628\pi\)
\(662\) 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
\(665\) 2.32237 39.1397i 0.0900575 1.51777i
\(666\) 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
\(672\) 7.22037 1.66270i 0.278532 0.0641400i
\(673\) 19.3742 42.4235i 0.746819 1.63531i −0.0251801 0.999683i \(-0.508016\pi\)
0.771999 0.635623i \(-0.219257\pi\)
\(674\) 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 \(-0.209105\pi\)
−0.717163 + 0.696905i \(0.754560\pi\)
\(678\) −1.44231 + 0.926918i −0.0553917 + 0.0355981i
\(679\) −20.8764 11.0727i −0.801162 0.424930i
\(680\) 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 −0.965883 0.258980i \(-0.916613\pi\)
0.393804 + 0.919195i \(0.371159\pi\)
\(684\) −0.716687 + 1.56933i −0.0274032 + 0.0600047i
\(685\) −5.70205 + 19.4194i −0.217864 + 0.741978i
\(686\) 11.2393 + 27.0804i 0.429120 + 1.03393i
\(687\) −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
\(693\) 10.4308 + 13.5871i 0.396233 + 0.516131i
\(694\) −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
\(700\) 6.30224 17.5442i 0.238202 0.663109i
\(701\) −22.1900 34.5282i −0.838103 1.30411i −0.950586 0.310460i \(-0.899517\pi\)
0.112484 0.993654i \(-0.464119\pi\)
\(702\) −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
\(707\) −0.282747 3.37695i −0.0106338 0.127003i
\(708\) −2.00749 0.589454i −0.0754463 0.0221530i
\(709\) −39.9875 + 18.2617i −1.50176 + 0.685832i −0.985356 0.170511i \(-0.945458\pi\)
−0.516407 + 0.856343i \(0.672731\pi\)
\(710\) 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 \(-0.252266\pi\)
−0.0784392 + 0.996919i \(0.524994\pi\)
\(720\) 13.5466 15.6336i 0.504852 0.582630i
\(721\) −28.9265 + 11.1907i −1.07728 + 0.416763i
\(722\) −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 \(-0.741954\pi\)
−0.187801 + 0.982207i \(0.560136\pi\)
\(728\) −6.31410 16.3212i −0.234016 0.604902i
\(729\) 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 0.999758 + 0.0220000i \(0.00700338\pi\)
−0.953063 + 0.302773i \(0.902088\pi\)
\(734\) 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 −0.871421 0.490536i \(-0.836801\pi\)
0.697922 0.716174i \(-0.254108\pi\)
\(740\) 0.836830 0.382167i 0.0307625 0.0140488i
\(741\) 9.14477 + 2.68515i 0.335942 + 0.0986414i
\(742\) −0.657137 7.84841i −0.0241243 0.288124i
\(743\) 4.57214 + 3.96178i 0.167735 + 0.145344i 0.734684 0.678410i \(-0.237331\pi\)
−0.566948 + 0.823753i \(0.691876\pi\)
\(744\) −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
\(749\) 11.4164 + 4.10101i 0.417147 + 0.149848i
\(750\) −17.2955 58.9031i −0.631543 2.15084i
\(751\) −11.7740 1.69285i −0.429640 0.0617730i −0.0758974 0.997116i \(-0.524182\pi\)
−0.353743 + 0.935343i \(0.615091\pi\)
\(752\) −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
\(756\) −0.815751 1.06259i −0.0296686 0.0386461i
\(757\) −3.32153 + 5.16840i −0.120723 + 0.187849i −0.896355 0.443336i \(-0.853795\pi\)
0.775632 + 0.631185i \(0.217431\pi\)
\(758\) 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 \(-0.915075\pi\)
0.640539 + 0.767926i \(0.278711\pi\)
\(762\) −8.59189 + 1.23533i −0.311251 + 0.0447512i
\(763\) 30.4008 + 22.1873i 1.10058 + 0.803233i
\(764\) −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 −0.937219 0.348742i \(-0.886609\pi\)
−0.211813 0.977310i \(-0.567937\pi\)
\(770\) 55.2635 104.194i 1.99156 3.75488i
\(771\) −2.96702 + 1.90679i −0.106855 + 0.0686713i
\(772\) 3.31571 + 3.82654i 0.119335 + 0.137720i
\(773\) 21.0647 6.18515i