Properties

Label 570.2.s.a.221.10
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.10
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.a.521.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.56078 + 0.750973i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.130029 - 1.72716i) q^{6} -4.16200 q^{7} +1.00000 q^{8} +(1.87208 + 2.34421i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.56078 + 0.750973i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.130029 - 1.72716i) q^{6} -4.16200 q^{7} +1.00000 q^{8} +(1.87208 + 2.34421i) q^{9} +(0.866025 + 0.500000i) q^{10} +2.96621i q^{11} +(-1.43075 + 0.976190i) q^{12} +(-5.88671 - 3.39869i) q^{13} +(2.08100 + 3.60440i) q^{14} +(-1.72716 + 0.130029i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.56047 + 0.900937i) q^{17} +(1.09411 - 2.79337i) q^{18} +(0.334315 + 4.34606i) q^{19} -1.00000i q^{20} +(-6.49598 - 3.12555i) q^{21} +(2.56881 - 1.48311i) q^{22} +(0.309948 + 0.178948i) q^{23} +(1.56078 + 0.750973i) q^{24} +(0.500000 - 0.866025i) q^{25} +6.79738i q^{26} +(1.16147 + 5.06468i) q^{27} +(2.08100 - 3.60440i) q^{28} +(-3.63882 + 6.30262i) q^{29} +(0.976190 + 1.43075i) q^{30} -3.56783i q^{31} +(-0.500000 + 0.866025i) q^{32} +(-2.22754 + 4.62961i) q^{33} +(1.56047 + 0.900937i) q^{34} +(3.60440 - 2.08100i) q^{35} +(-2.96618 + 0.449163i) q^{36} +6.14614i q^{37} +(3.59664 - 2.46256i) q^{38} +(-6.63554 - 9.72537i) q^{39} +(-0.866025 + 0.500000i) q^{40} +(-3.81541 - 6.60849i) q^{41} +(0.541182 + 7.18845i) q^{42} +(-5.13659 - 8.89683i) q^{43} +(-2.56881 - 1.48311i) q^{44} +(-2.79337 - 1.09411i) q^{45} -0.357897i q^{46} +(4.46767 + 2.57941i) q^{47} +(-0.130029 - 1.72716i) q^{48} +10.3223 q^{49} -1.00000 q^{50} +(-3.11213 + 0.234296i) q^{51} +(5.88671 - 3.39869i) q^{52} +(-1.75415 + 3.03828i) q^{53} +(3.80541 - 3.53820i) q^{54} +(-1.48311 - 2.56881i) q^{55} -4.16200 q^{56} +(-2.74198 + 7.03431i) q^{57} +7.27764 q^{58} +(4.38575 + 7.59635i) q^{59} +(0.750973 - 1.56078i) q^{60} +(1.88869 - 3.27131i) q^{61} +(-3.08983 + 1.78392i) q^{62} +(-7.79160 - 9.75660i) q^{63} +1.00000 q^{64} +6.79738 q^{65} +(5.12313 - 0.385694i) q^{66} +(0.922310 + 0.532496i) q^{67} -1.80187i q^{68} +(0.349376 + 0.512062i) q^{69} +(-3.60440 - 2.08100i) q^{70} +(2.05789 + 3.56436i) q^{71} +(1.87208 + 2.34421i) q^{72} +(6.64377 + 11.5074i) q^{73} +(5.32272 - 3.07307i) q^{74} +(1.43075 - 0.976190i) q^{75} +(-3.93096 - 1.88350i) q^{76} -12.3454i q^{77} +(-5.10465 + 10.6092i) q^{78} +(1.10542 - 0.638217i) q^{79} +(0.866025 + 0.500000i) q^{80} +(-1.99064 + 8.77709i) q^{81} +(-3.81541 + 6.60849i) q^{82} -1.93377i q^{83} +(5.95479 - 4.06290i) q^{84} +(0.900937 - 1.56047i) q^{85} +(-5.13659 + 8.89683i) q^{86} +(-10.4125 + 7.10436i) q^{87} +2.96621i q^{88} +(-2.94818 + 5.10639i) q^{89} +(0.449163 + 2.96618i) q^{90} +(24.5005 + 14.1454i) q^{91} +(-0.309948 + 0.178948i) q^{92} +(2.67935 - 5.56861i) q^{93} -5.15882i q^{94} +(-2.46256 - 3.59664i) q^{95} +(-1.43075 + 0.976190i) q^{96} +(11.2544 - 6.49772i) q^{97} +(-5.16113 - 8.93933i) q^{98} +(-6.95342 + 5.55298i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} + O(q^{10}) \) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} - 2q^{12} + 18q^{13} + 6q^{14} - 12q^{16} + 12q^{17} + 2q^{18} + 6q^{19} - 6q^{21} + 18q^{22} + 4q^{24} + 12q^{25} + 28q^{27} + 6q^{28} - 12q^{32} - 22q^{33} - 12q^{34} + 2q^{36} + 6q^{38} + 40q^{39} + 6q^{41} - 6q^{42} - 22q^{43} - 18q^{44} + 8q^{45} + 12q^{47} - 2q^{48} + 12q^{49} - 24q^{50} - 20q^{51} - 18q^{52} + 8q^{53} + 4q^{54} - 12q^{56} + 26q^{59} + 22q^{61} - 18q^{62} + 6q^{63} + 24q^{64} + 8q^{65} + 8q^{66} - 48q^{67} - 64q^{69} + 24q^{71} - 4q^{72} - 8q^{73} + 30q^{74} + 2q^{75} - 12q^{76} - 38q^{78} + 18q^{79} - 12q^{81} + 6q^{82} + 12q^{84} - 22q^{86} - 24q^{87} + 28q^{89} + 8q^{90} + 18q^{91} + 2q^{93} - 2q^{96} + 6q^{97} - 6q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) 1.56078 + 0.750973i 0.901118 + 0.433574i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −0.130029 1.72716i −0.0530842 0.705111i
\(7\) −4.16200 −1.57309 −0.786544 0.617534i \(-0.788132\pi\)
−0.786544 + 0.617534i \(0.788132\pi\)
\(8\) 1.00000 0.353553
\(9\) 1.87208 + 2.34421i 0.624026 + 0.781403i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 2.96621i 0.894346i 0.894447 + 0.447173i \(0.147569\pi\)
−0.894447 + 0.447173i \(0.852431\pi\)
\(12\) −1.43075 + 0.976190i −0.413023 + 0.281802i
\(13\) −5.88671 3.39869i −1.63268 0.942627i −0.983263 0.182194i \(-0.941680\pi\)
−0.649416 0.760433i \(-0.724987\pi\)
\(14\) 2.08100 + 3.60440i 0.556171 + 0.963316i
\(15\) −1.72716 + 0.130029i −0.445952 + 0.0335734i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.56047 + 0.900937i −0.378469 + 0.218509i −0.677152 0.735843i \(-0.736786\pi\)
0.298683 + 0.954352i \(0.403453\pi\)
\(18\) 1.09411 2.79337i 0.257883 0.658404i
\(19\) 0.334315 + 4.34606i 0.0766971 + 0.997054i
\(20\) 1.00000i 0.223607i
\(21\) −6.49598 3.12555i −1.41754 0.682051i
\(22\) 2.56881 1.48311i 0.547673 0.316199i
\(23\) 0.309948 + 0.178948i 0.0646286 + 0.0373133i 0.531966 0.846766i \(-0.321453\pi\)
−0.467338 + 0.884079i \(0.654787\pi\)
\(24\) 1.56078 + 0.750973i 0.318593 + 0.153292i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 6.79738i 1.33308i
\(27\) 1.16147 + 5.06468i 0.223525 + 0.974698i
\(28\) 2.08100 3.60440i 0.393272 0.681167i
\(29\) −3.63882 + 6.30262i −0.675712 + 1.17037i 0.300548 + 0.953767i \(0.402830\pi\)
−0.976260 + 0.216601i \(0.930503\pi\)
\(30\) 0.976190 + 1.43075i 0.178227 + 0.261218i
\(31\) 3.56783i 0.640802i −0.947282 0.320401i \(-0.896182\pi\)
0.947282 0.320401i \(-0.103818\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −2.22754 + 4.62961i −0.387766 + 0.805911i
\(34\) 1.56047 + 0.900937i 0.267618 + 0.154509i
\(35\) 3.60440 2.08100i 0.609255 0.351753i
\(36\) −2.96618 + 0.449163i −0.494364 + 0.0748606i
\(37\) 6.14614i 1.01042i 0.862997 + 0.505210i \(0.168585\pi\)
−0.862997 + 0.505210i \(0.831415\pi\)
\(38\) 3.59664 2.46256i 0.583452 0.399479i
\(39\) −6.63554 9.72537i −1.06254 1.55731i
\(40\) −0.866025 + 0.500000i −0.136931 + 0.0790569i
\(41\) −3.81541 6.60849i −0.595867 1.03207i −0.993424 0.114495i \(-0.963475\pi\)
0.397557 0.917578i \(-0.369858\pi\)
\(42\) 0.541182 + 7.18845i 0.0835062 + 1.10920i
\(43\) −5.13659 8.89683i −0.783322 1.35675i −0.929996 0.367569i \(-0.880190\pi\)
0.146674 0.989185i \(-0.453143\pi\)
\(44\) −2.56881 1.48311i −0.387263 0.223587i
\(45\) −2.79337 1.09411i −0.416411 0.163100i
\(46\) 0.357897i 0.0527690i
\(47\) 4.46767 + 2.57941i 0.651677 + 0.376246i 0.789098 0.614267i \(-0.210548\pi\)
−0.137421 + 0.990513i \(0.543881\pi\)
\(48\) −0.130029 1.72716i −0.0187681 0.249295i
\(49\) 10.3223 1.47461
\(50\) −1.00000 −0.141421
\(51\) −3.11213 + 0.234296i −0.435785 + 0.0328080i
\(52\) 5.88671 3.39869i 0.816339 0.471314i
\(53\) −1.75415 + 3.03828i −0.240951 + 0.417340i −0.960985 0.276599i \(-0.910793\pi\)
0.720034 + 0.693938i \(0.244126\pi\)
\(54\) 3.80541 3.53820i 0.517850 0.481488i
\(55\) −1.48311 2.56881i −0.199982 0.346379i
\(56\) −4.16200 −0.556171
\(57\) −2.74198 + 7.03431i −0.363184 + 0.931717i
\(58\) 7.27764 0.955601
\(59\) 4.38575 + 7.59635i 0.570976 + 0.988960i 0.996466 + 0.0839969i \(0.0267686\pi\)
−0.425490 + 0.904963i \(0.639898\pi\)
\(60\) 0.750973 1.56078i 0.0969502 0.201496i
\(61\) 1.88869 3.27131i 0.241822 0.418849i −0.719411 0.694585i \(-0.755588\pi\)
0.961233 + 0.275736i \(0.0889215\pi\)
\(62\) −3.08983 + 1.78392i −0.392409 + 0.226558i
\(63\) −7.79160 9.75660i −0.981649 1.22922i
\(64\) 1.00000 0.125000
\(65\) 6.79738 0.843112
\(66\) 5.12313 0.385694i 0.630614 0.0474757i
\(67\) 0.922310 + 0.532496i 0.112678 + 0.0650548i 0.555280 0.831664i \(-0.312611\pi\)
−0.442602 + 0.896718i \(0.645944\pi\)
\(68\) 1.80187i 0.218509i
\(69\) 0.349376 + 0.512062i 0.0420599 + 0.0616450i
\(70\) −3.60440 2.08100i −0.430808 0.248727i
\(71\) 2.05789 + 3.56436i 0.244226 + 0.423012i 0.961914 0.273353i \(-0.0881327\pi\)
−0.717688 + 0.696365i \(0.754799\pi\)
\(72\) 1.87208 + 2.34421i 0.220627 + 0.276268i
\(73\) 6.64377 + 11.5074i 0.777595 + 1.34683i 0.933324 + 0.359034i \(0.116894\pi\)
−0.155729 + 0.987800i \(0.549773\pi\)
\(74\) 5.32272 3.07307i 0.618753 0.357237i
\(75\) 1.43075 0.976190i 0.165209 0.112721i
\(76\) −3.93096 1.88350i −0.450912 0.216053i
\(77\) 12.3454i 1.40689i
\(78\) −5.10465 + 10.6092i −0.577988 + 1.20126i
\(79\) 1.10542 0.638217i 0.124370 0.0718050i −0.436524 0.899692i \(-0.643791\pi\)
0.560894 + 0.827887i \(0.310457\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) −1.99064 + 8.77709i −0.221182 + 0.975233i
\(82\) −3.81541 + 6.60849i −0.421342 + 0.729785i
\(83\) 1.93377i 0.212258i −0.994352 0.106129i \(-0.966154\pi\)
0.994352 0.106129i \(-0.0338457\pi\)
\(84\) 5.95479 4.06290i 0.649721 0.443299i
\(85\) 0.900937 1.56047i 0.0977203 0.169257i
\(86\) −5.13659 + 8.89683i −0.553892 + 0.959370i
\(87\) −10.4125 + 7.10436i −1.11634 + 0.761668i
\(88\) 2.96621i 0.316199i
\(89\) −2.94818 + 5.10639i −0.312506 + 0.541277i −0.978904 0.204320i \(-0.934502\pi\)
0.666398 + 0.745596i \(0.267835\pi\)
\(90\) 0.449163 + 2.96618i 0.0473460 + 0.312663i
\(91\) 24.5005 + 14.1454i 2.56835 + 1.48284i
\(92\) −0.309948 + 0.178948i −0.0323143 + 0.0186567i
\(93\) 2.67935 5.56861i 0.277835 0.577438i
\(94\) 5.15882i 0.532092i
\(95\) −2.46256 3.59664i −0.252653 0.369008i
\(96\) −1.43075 + 0.976190i −0.146026 + 0.0996320i
\(97\) 11.2544 6.49772i 1.14271 0.659744i 0.195610 0.980682i \(-0.437331\pi\)
0.947100 + 0.320938i \(0.103998\pi\)
\(98\) −5.16113 8.93933i −0.521353 0.903009i
\(99\) −6.95342 + 5.55298i −0.698845 + 0.558096i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −3.25224 1.87768i −0.323610 0.186836i 0.329391 0.944194i \(-0.393157\pi\)
−0.653001 + 0.757357i \(0.726490\pi\)
\(102\) 1.75897 + 2.57804i 0.174164 + 0.255264i
\(103\) 2.57242i 0.253468i −0.991937 0.126734i \(-0.959551\pi\)
0.991937 0.126734i \(-0.0404494\pi\)
\(104\) −5.88671 3.39869i −0.577239 0.333269i
\(105\) 7.18845 0.541182i 0.701521 0.0528140i
\(106\) 3.50830 0.340756
\(107\) 11.8795 1.14844 0.574218 0.818702i \(-0.305306\pi\)
0.574218 + 0.818702i \(0.305306\pi\)
\(108\) −4.96688 1.52648i −0.477938 0.146885i
\(109\) −11.1493 + 6.43703i −1.06790 + 0.616555i −0.927608 0.373554i \(-0.878139\pi\)
−0.140297 + 0.990110i \(0.544806\pi\)
\(110\) −1.48311 + 2.56881i −0.141409 + 0.244927i
\(111\) −4.61559 + 9.59279i −0.438092 + 0.910507i
\(112\) 2.08100 + 3.60440i 0.196636 + 0.340584i
\(113\) −3.14768 −0.296109 −0.148055 0.988979i \(-0.547301\pi\)
−0.148055 + 0.988979i \(0.547301\pi\)
\(114\) 7.46288 1.14253i 0.698963 0.107008i
\(115\) −0.357897 −0.0333741
\(116\) −3.63882 6.30262i −0.337856 0.585184i
\(117\) −3.05314 20.1623i −0.282263 1.86400i
\(118\) 4.38575 7.59635i 0.403741 0.699300i
\(119\) 6.49467 3.74970i 0.595366 0.343734i
\(120\) −1.72716 + 0.130029i −0.157668 + 0.0118700i
\(121\) 2.20159 0.200145
\(122\) −3.77739 −0.341989
\(123\) −0.992230 13.1797i −0.0894664 1.18837i
\(124\) 3.08983 + 1.78392i 0.277475 + 0.160200i
\(125\) 1.00000i 0.0894427i
\(126\) −4.55367 + 11.6260i −0.405673 + 1.03573i
\(127\) −6.05360 3.49505i −0.537170 0.310135i 0.206761 0.978391i \(-0.433708\pi\)
−0.743931 + 0.668256i \(0.767041\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −1.33581 17.7434i −0.117612 1.56222i
\(130\) −3.39869 5.88671i −0.298085 0.516298i
\(131\) 11.7170 6.76481i 1.02372 0.591044i 0.108540 0.994092i \(-0.465383\pi\)
0.915179 + 0.403048i \(0.132049\pi\)
\(132\) −2.89559 4.24391i −0.252028 0.369385i
\(133\) −1.39142 18.0883i −0.120651 1.56845i
\(134\) 1.06499i 0.0920013i
\(135\) −3.53820 3.80541i −0.304520 0.327517i
\(136\) −1.56047 + 0.900937i −0.133809 + 0.0772547i
\(137\) −10.6066 6.12370i −0.906180 0.523183i −0.0269800 0.999636i \(-0.508589\pi\)
−0.879200 + 0.476453i \(0.841922\pi\)
\(138\) 0.268771 0.558599i 0.0228793 0.0475511i
\(139\) 5.90898 10.2347i 0.501193 0.868092i −0.498806 0.866714i \(-0.666228\pi\)
0.999999 0.00137828i \(-0.000438719\pi\)
\(140\) 4.16200i 0.351753i
\(141\) 5.03599 + 7.38100i 0.424107 + 0.621592i
\(142\) 2.05789 3.56436i 0.172694 0.299115i
\(143\) 10.0812 17.4612i 0.843035 1.46018i
\(144\) 1.09411 2.79337i 0.0911754 0.232781i
\(145\) 7.27764i 0.604375i
\(146\) 6.64377 11.5074i 0.549843 0.952355i
\(147\) 16.1108 + 7.75173i 1.32880 + 0.639352i
\(148\) −5.32272 3.07307i −0.437524 0.252605i
\(149\) −6.23444 + 3.59946i −0.510745 + 0.294879i −0.733140 0.680078i \(-0.761946\pi\)
0.222395 + 0.974957i \(0.428613\pi\)
\(150\) −1.56078 0.750973i −0.127437 0.0613167i
\(151\) 11.1275i 0.905543i 0.891627 + 0.452772i \(0.149565\pi\)
−0.891627 + 0.452772i \(0.850435\pi\)
\(152\) 0.334315 + 4.34606i 0.0271165 + 0.352512i
\(153\) −5.03331 1.97144i −0.406919 0.159381i
\(154\) −10.6914 + 6.17269i −0.861538 + 0.497409i
\(155\) 1.78392 + 3.08983i 0.143288 + 0.248181i
\(156\) 11.7402 0.883859i 0.939967 0.0707653i
\(157\) −10.7364 18.5960i −0.856860 1.48412i −0.874909 0.484287i \(-0.839079\pi\)
0.0180496 0.999837i \(-0.494254\pi\)
\(158\) −1.10542 0.638217i −0.0879428 0.0507738i
\(159\) −5.01951 + 3.42477i −0.398073 + 0.271602i
\(160\) 1.00000i 0.0790569i
\(161\) −1.29000 0.744784i −0.101667 0.0586972i
\(162\) 8.59650 2.66460i 0.675405 0.209351i
\(163\) −19.4377 −1.52248 −0.761239 0.648471i \(-0.775409\pi\)
−0.761239 + 0.648471i \(0.775409\pi\)
\(164\) 7.63082 0.595867
\(165\) −0.385694 5.12313i −0.0300263 0.398835i
\(166\) −1.67469 + 0.966883i −0.129981 + 0.0750447i
\(167\) −2.84217 + 4.92279i −0.219934 + 0.380937i −0.954788 0.297289i \(-0.903918\pi\)
0.734854 + 0.678226i \(0.237251\pi\)
\(168\) −6.49598 3.12555i −0.501175 0.241141i
\(169\) 16.6022 + 28.7559i 1.27709 + 2.21199i
\(170\) −1.80187 −0.138197
\(171\) −9.56221 + 8.91987i −0.731241 + 0.682120i
\(172\) 10.2732 0.783322
\(173\) 11.2154 + 19.4256i 0.852690 + 1.47690i 0.878772 + 0.477242i \(0.158364\pi\)
−0.0260821 + 0.999660i \(0.508303\pi\)
\(174\) 11.3588 + 5.46531i 0.861109 + 0.414324i
\(175\) −2.08100 + 3.60440i −0.157309 + 0.272467i
\(176\) 2.56881 1.48311i 0.193632 0.111793i
\(177\) 1.14055 + 15.1498i 0.0857292 + 1.13873i
\(178\) 5.89635 0.441950
\(179\) −14.2289 −1.06352 −0.531758 0.846896i \(-0.678469\pi\)
−0.531758 + 0.846896i \(0.678469\pi\)
\(180\) 2.34421 1.87208i 0.174727 0.139537i
\(181\) 0.0315834 + 0.0182347i 0.00234757 + 0.00135537i 0.501173 0.865347i \(-0.332902\pi\)
−0.498826 + 0.866702i \(0.666235\pi\)
\(182\) 28.2907i 2.09705i
\(183\) 5.40451 3.68745i 0.399513 0.272584i
\(184\) 0.309948 + 0.178948i 0.0228497 + 0.0131923i
\(185\) −3.07307 5.32272i −0.225937 0.391334i
\(186\) −6.16223 + 0.463923i −0.451837 + 0.0340165i
\(187\) −2.67237 4.62868i −0.195423 0.338482i
\(188\) −4.46767 + 2.57941i −0.325839 + 0.188123i
\(189\) −4.83404 21.0792i −0.351624 1.53329i
\(190\) −1.88350 + 3.93096i −0.136644 + 0.285181i
\(191\) 22.3142i 1.61460i −0.590141 0.807300i \(-0.700928\pi\)
0.590141 0.807300i \(-0.299072\pi\)
\(192\) 1.56078 + 0.750973i 0.112640 + 0.0541968i
\(193\) −11.5178 + 6.64983i −0.829072 + 0.478665i −0.853535 0.521036i \(-0.825546\pi\)
0.0244626 + 0.999701i \(0.492213\pi\)
\(194\) −11.2544 6.49772i −0.808018 0.466509i
\(195\) 10.6092 + 5.10465i 0.759743 + 0.365552i
\(196\) −5.16113 + 8.93933i −0.368652 + 0.638524i
\(197\) 22.7586i 1.62148i 0.585403 + 0.810742i \(0.300936\pi\)
−0.585403 + 0.810742i \(0.699064\pi\)
\(198\) 8.28573 + 3.24535i 0.588841 + 0.230637i
\(199\) 2.34142 4.05546i 0.165979 0.287484i −0.771023 0.636807i \(-0.780255\pi\)
0.937003 + 0.349323i \(0.113588\pi\)
\(200\) 0.500000 0.866025i 0.0353553 0.0612372i
\(201\) 1.03964 + 1.52374i 0.0733302 + 0.107476i
\(202\) 3.75536i 0.264226i
\(203\) 15.1448 26.2315i 1.06295 1.84109i
\(204\) 1.35316 2.81233i 0.0947400 0.196903i
\(205\) 6.60849 + 3.81541i 0.461557 + 0.266480i
\(206\) −2.22778 + 1.28621i −0.155217 + 0.0896144i
\(207\) 0.160754 + 1.06159i 0.0111732 + 0.0737855i
\(208\) 6.79738i 0.471314i
\(209\) −12.8913 + 0.991649i −0.891712 + 0.0685938i
\(210\) −4.06290 5.95479i −0.280367 0.410920i
\(211\) −6.72063 + 3.88016i −0.462667 + 0.267121i −0.713165 0.700996i \(-0.752739\pi\)
0.250498 + 0.968117i \(0.419406\pi\)
\(212\) −1.75415 3.03828i −0.120476 0.208670i
\(213\) 0.535171 + 7.10861i 0.0366693 + 0.487074i
\(214\) −5.93976 10.2880i −0.406034 0.703271i
\(215\) 8.89683 + 5.13659i 0.606759 + 0.350312i
\(216\) 1.16147 + 5.06468i 0.0790280 + 0.344608i
\(217\) 14.8493i 1.00804i
\(218\) 11.1493 + 6.43703i 0.755123 + 0.435970i
\(219\) 1.72777 + 22.9498i 0.116752 + 1.55080i
\(220\) 2.96621 0.199982
\(221\) 12.2480 0.823891
\(222\) 10.6154 0.799178i 0.712458 0.0536373i
\(223\) 23.7955 13.7383i 1.59346 0.919987i 0.600758 0.799431i \(-0.294866\pi\)
0.992707 0.120556i \(-0.0384678\pi\)
\(224\) 2.08100 3.60440i 0.139043 0.240829i
\(225\) 2.96618 0.449163i 0.197746 0.0299442i
\(226\) 1.57384 + 2.72597i 0.104690 + 0.181329i
\(227\) −25.8559 −1.71612 −0.858059 0.513551i \(-0.828330\pi\)
−0.858059 + 0.513551i \(0.828330\pi\)
\(228\) −4.72090 5.89178i −0.312649 0.390193i
\(229\) 5.60560 0.370428 0.185214 0.982698i \(-0.440702\pi\)
0.185214 + 0.982698i \(0.440702\pi\)
\(230\) 0.178948 + 0.309948i 0.0117995 + 0.0204374i
\(231\) 9.27104 19.2684i 0.609990 1.26777i
\(232\) −3.63882 + 6.30262i −0.238900 + 0.413787i
\(233\) 22.6080 13.0528i 1.48110 0.855114i 0.481331 0.876539i \(-0.340153\pi\)
0.999770 + 0.0214243i \(0.00682008\pi\)
\(234\) −15.9345 + 12.7252i −1.04167 + 0.831875i
\(235\) −5.15882 −0.336525
\(236\) −8.77151 −0.570976
\(237\) 2.20461 0.165974i 0.143205 0.0107811i
\(238\) −6.49467 3.74970i −0.420987 0.243057i
\(239\) 23.9431i 1.54875i 0.632728 + 0.774374i \(0.281935\pi\)
−0.632728 + 0.774374i \(0.718065\pi\)
\(240\) 0.976190 + 1.43075i 0.0630128 + 0.0923547i
\(241\) −7.46928 4.31239i −0.481139 0.277786i 0.239752 0.970834i \(-0.422934\pi\)
−0.720891 + 0.693049i \(0.756267\pi\)
\(242\) −1.10080 1.90663i −0.0707619 0.122563i
\(243\) −9.69831 + 12.2042i −0.622147 + 0.782901i
\(244\) 1.88869 + 3.27131i 0.120911 + 0.209424i
\(245\) −8.93933 + 5.16113i −0.571113 + 0.329732i
\(246\) −10.9178 + 7.44913i −0.696095 + 0.474939i
\(247\) 12.8029 26.7202i 0.814629 1.70017i
\(248\) 3.56783i 0.226558i
\(249\) 1.45221 3.01819i 0.0920298 0.191270i
\(250\) 0.866025 0.500000i 0.0547723 0.0316228i
\(251\) 11.4151 + 6.59052i 0.720516 + 0.415990i 0.814942 0.579542i \(-0.196769\pi\)
−0.0944268 + 0.995532i \(0.530102\pi\)
\(252\) 12.3453 1.86942i 0.777679 0.117762i
\(253\) −0.530799 + 0.919371i −0.0333710 + 0.0578004i
\(254\) 6.99009i 0.438597i
\(255\) 2.57804 1.75897i 0.161443 0.110151i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −13.3200 + 23.0709i −0.830879 + 1.43913i 0.0664625 + 0.997789i \(0.478829\pi\)
−0.897342 + 0.441336i \(0.854505\pi\)
\(258\) −14.6984 + 10.0286i −0.915080 + 0.624351i
\(259\) 25.5803i 1.58948i
\(260\) −3.39869 + 5.88671i −0.210778 + 0.365078i
\(261\) −21.5868 + 3.26885i −1.33619 + 0.202337i
\(262\) −11.7170 6.76481i −0.723878 0.417931i
\(263\) 20.1068 11.6087i 1.23984 0.715822i 0.270779 0.962641i \(-0.412719\pi\)
0.969062 + 0.246819i \(0.0793853\pi\)
\(264\) −2.22754 + 4.62961i −0.137096 + 0.284933i
\(265\) 3.50830i 0.215513i
\(266\) −14.9692 + 10.2492i −0.917822 + 0.628416i
\(267\) −8.43622 + 5.75596i −0.516288 + 0.352259i
\(268\) −0.922310 + 0.532496i −0.0563391 + 0.0325274i
\(269\) 2.52385 + 4.37144i 0.153882 + 0.266532i 0.932651 0.360779i \(-0.117489\pi\)
−0.778769 + 0.627310i \(0.784156\pi\)
\(270\) −1.52648 + 4.96688i −0.0928985 + 0.302274i
\(271\) 4.52551 + 7.83842i 0.274905 + 0.476150i 0.970111 0.242661i \(-0.0780202\pi\)
−0.695206 + 0.718811i \(0.744687\pi\)
\(272\) 1.56047 + 0.900937i 0.0946173 + 0.0546273i
\(273\) 27.6171 + 40.4770i 1.67146 + 2.44978i
\(274\) 12.2474i 0.739893i
\(275\) 2.56881 + 1.48311i 0.154905 + 0.0894346i
\(276\) −0.618146 + 0.0465371i −0.0372080 + 0.00280120i
\(277\) −5.33557 −0.320583 −0.160292 0.987070i \(-0.551243\pi\)
−0.160292 + 0.987070i \(0.551243\pi\)
\(278\) −11.8180 −0.708794
\(279\) 8.36375 6.67927i 0.500724 0.399877i
\(280\) 3.60440 2.08100i 0.215404 0.124364i
\(281\) −6.84949 + 11.8637i −0.408606 + 0.707727i −0.994734 0.102492i \(-0.967318\pi\)
0.586127 + 0.810219i \(0.300652\pi\)
\(282\) 3.87414 8.05180i 0.230702 0.479478i
\(283\) 0.398146 + 0.689610i 0.0236673 + 0.0409930i 0.877616 0.479363i \(-0.159132\pi\)
−0.853949 + 0.520356i \(0.825799\pi\)
\(284\) −4.11577 −0.244226
\(285\) −1.14253 7.46288i −0.0676777 0.442063i
\(286\) −20.1625 −1.19223
\(287\) 15.8797 + 27.5045i 0.937352 + 1.62354i
\(288\) −2.96618 + 0.449163i −0.174784 + 0.0264672i
\(289\) −6.87663 + 11.9107i −0.404507 + 0.700627i
\(290\) −6.30262 + 3.63882i −0.370103 + 0.213679i
\(291\) 22.4453 1.68979i 1.31576 0.0990571i
\(292\) −13.2875 −0.777595
\(293\) −23.7823 −1.38937 −0.694687 0.719312i \(-0.744457\pi\)
−0.694687 + 0.719312i \(0.744457\pi\)
\(294\) −1.34220 17.8282i −0.0782784 1.03976i
\(295\) −7.59635 4.38575i −0.442276 0.255348i
\(296\) 6.14614i 0.357237i
\(297\) −15.0229 + 3.44516i −0.871718 + 0.199909i
\(298\) 6.23444 + 3.59946i 0.361151 + 0.208511i
\(299\) −1.21638 2.10683i −0.0703452 0.121841i
\(300\) 0.130029 + 1.72716i 0.00750724 + 0.0997178i
\(301\) 21.3785 + 37.0286i 1.23223 + 2.13429i
\(302\) 9.63670 5.56375i 0.554530 0.320158i
\(303\) −3.66595 5.37300i −0.210603 0.308671i
\(304\) 3.59664 2.46256i 0.206281 0.141237i
\(305\) 3.77739i 0.216293i
\(306\) 0.809336 + 5.34469i 0.0462666 + 0.305536i
\(307\) −7.52401 + 4.34399i −0.429418 + 0.247924i −0.699099 0.715025i \(-0.746415\pi\)
0.269681 + 0.962950i \(0.413082\pi\)
\(308\) 10.6914 + 6.17269i 0.609199 + 0.351721i
\(309\) 1.93182 4.01498i 0.109897 0.228404i
\(310\) 1.78392 3.08983i 0.101320 0.175491i
\(311\) 19.4598i 1.10346i 0.834021 + 0.551732i \(0.186033\pi\)
−0.834021 + 0.551732i \(0.813967\pi\)
\(312\) −6.63554 9.72537i −0.375663 0.550591i
\(313\) −7.02538 + 12.1683i −0.397098 + 0.687793i −0.993366 0.114991i \(-0.963316\pi\)
0.596269 + 0.802785i \(0.296649\pi\)
\(314\) −10.7364 + 18.5960i −0.605891 + 1.04943i
\(315\) 11.6260 + 4.55367i 0.655052 + 0.256570i
\(316\) 1.27643i 0.0718050i
\(317\) −6.58272 + 11.4016i −0.369722 + 0.640378i −0.989522 0.144382i \(-0.953881\pi\)
0.619800 + 0.784760i \(0.287214\pi\)
\(318\) 5.47569 + 2.63464i 0.307062 + 0.147743i
\(319\) −18.6949 10.7935i −1.04671 0.604321i
\(320\) −0.866025 + 0.500000i −0.0484123 + 0.0279508i
\(321\) 18.5413 + 8.92120i 1.03488 + 0.497933i
\(322\) 1.48957i 0.0830104i
\(323\) −4.43721 6.48069i −0.246893 0.360595i
\(324\) −6.60587 6.11249i −0.366993 0.339583i
\(325\) −5.88671 + 3.39869i −0.326536 + 0.188525i
\(326\) 9.71885 + 16.8335i 0.538278 + 0.932324i
\(327\) −22.2356 + 1.67400i −1.22963 + 0.0925726i
\(328\) −3.81541 6.60849i −0.210671 0.364893i
\(329\) −18.5945 10.7355i −1.02515 0.591868i
\(330\) −4.24391 + 2.89559i −0.233620 + 0.159397i
\(331\) 4.40745i 0.242256i 0.992637 + 0.121128i \(0.0386511\pi\)
−0.992637 + 0.121128i \(0.961349\pi\)
\(332\) 1.67469 + 0.966883i 0.0919106 + 0.0530646i
\(333\) −14.4078 + 11.5061i −0.789545 + 0.630529i
\(334\) 5.68435 0.311034
\(335\) −1.06499 −0.0581868
\(336\) 0.541182 + 7.18845i 0.0295239 + 0.392162i
\(337\) −4.81309 + 2.77884i −0.262186 + 0.151373i −0.625331 0.780359i \(-0.715036\pi\)
0.363146 + 0.931732i \(0.381703\pi\)
\(338\) 16.6022 28.7559i 0.903041 1.56411i
\(339\) −4.91284 2.36382i −0.266829 0.128385i
\(340\) 0.900937 + 1.56047i 0.0488602 + 0.0846283i
\(341\) 10.5829 0.573099
\(342\) 12.5059 + 3.82118i 0.676244 + 0.206626i
\(343\) −13.8272 −0.746600
\(344\) −5.13659 8.89683i −0.276946 0.479685i
\(345\) −0.558599 0.268771i −0.0300740 0.0144701i
\(346\) 11.2154 19.4256i 0.602943 1.04433i
\(347\) 2.06156 1.19024i 0.110671 0.0638957i −0.443643 0.896204i \(-0.646314\pi\)
0.554314 + 0.832308i \(0.312981\pi\)
\(348\) −0.946306 12.5697i −0.0507273 0.673805i
\(349\) −21.3877 −1.14486 −0.572429 0.819954i \(-0.693999\pi\)
−0.572429 + 0.819954i \(0.693999\pi\)
\(350\) 4.16200 0.222468
\(351\) 10.3761 33.7618i 0.553833 1.80207i
\(352\) −2.56881 1.48311i −0.136918 0.0790498i
\(353\) 34.6235i 1.84282i 0.388590 + 0.921411i \(0.372962\pi\)
−0.388590 + 0.921411i \(0.627038\pi\)
\(354\) 12.5499 8.56266i 0.667017 0.455100i
\(355\) −3.56436 2.05789i −0.189177 0.109221i
\(356\) −2.94818 5.10639i −0.156253 0.270638i
\(357\) 12.9527 0.975141i 0.685529 0.0516100i
\(358\) 7.11444 + 12.3226i 0.376010 + 0.651268i
\(359\) 18.8394 10.8769i 0.994305 0.574063i 0.0877470 0.996143i \(-0.472033\pi\)
0.906558 + 0.422080i \(0.138700\pi\)
\(360\) −2.79337 1.09411i −0.147224 0.0576644i
\(361\) −18.7765 + 2.90591i −0.988235 + 0.152942i
\(362\) 0.0364693i 0.00191679i
\(363\) 3.43620 + 1.65334i 0.180354 + 0.0867776i
\(364\) −24.5005 + 14.1454i −1.28417 + 0.741418i
\(365\) −11.5074 6.64377i −0.602322 0.347751i
\(366\) −5.89568 2.83672i −0.308172 0.148277i
\(367\) 6.28744 10.8902i 0.328202 0.568462i −0.653953 0.756535i \(-0.726891\pi\)
0.982155 + 0.188073i \(0.0602241\pi\)
\(368\) 0.357897i 0.0186567i
\(369\) 8.34892 21.3157i 0.434628 1.10965i
\(370\) −3.07307 + 5.32272i −0.159761 + 0.276715i
\(371\) 7.30078 12.6453i 0.379038 0.656512i
\(372\) 3.48288 + 5.10469i 0.180579 + 0.264666i
\(373\) 18.8039i 0.973629i 0.873505 + 0.486815i \(0.161841\pi\)
−0.873505 + 0.486815i \(0.838159\pi\)
\(374\) −2.67237 + 4.62868i −0.138185 + 0.239343i
\(375\) −0.750973 + 1.56078i −0.0387801 + 0.0805984i
\(376\) 4.46767 + 2.57941i 0.230403 + 0.133023i
\(377\) 42.8413 24.7345i 2.20644 1.27389i
\(378\) −15.8381 + 14.7260i −0.814624 + 0.757424i
\(379\) 25.0289i 1.28565i −0.766014 0.642824i \(-0.777763\pi\)
0.766014 0.642824i \(-0.222237\pi\)
\(380\) 4.34606 0.334315i 0.222948 0.0171500i
\(381\) −6.82366 10.0011i −0.349587 0.512371i
\(382\) −19.3247 + 11.1571i −0.988737 + 0.570847i
\(383\) 2.61339 + 4.52653i 0.133538 + 0.231295i 0.925038 0.379874i \(-0.124033\pi\)
−0.791500 + 0.611169i \(0.790699\pi\)
\(384\) −0.130029 1.72716i −0.00663553 0.0881389i
\(385\) 6.17269 + 10.6914i 0.314589 + 0.544885i
\(386\) 11.5178 + 6.64983i 0.586243 + 0.338467i
\(387\) 11.2399 28.6968i 0.571358 1.45874i
\(388\) 12.9954i 0.659744i
\(389\) 20.9714 + 12.1078i 1.06329 + 0.613892i 0.926341 0.376686i \(-0.122936\pi\)
0.136951 + 0.990578i \(0.456270\pi\)
\(390\) −0.883859 11.7402i −0.0447559 0.594488i
\(391\) −0.644885 −0.0326132
\(392\) 10.3223 0.521353
\(393\) 23.3679 1.75925i 1.17875 0.0887422i
\(394\) 19.7095 11.3793i 0.992953 0.573282i
\(395\) −0.638217 + 1.10542i −0.0321122 + 0.0556199i
\(396\) −1.33231 8.79833i −0.0669513 0.442133i
\(397\) 12.7295 + 22.0482i 0.638877 + 1.10657i 0.985680 + 0.168629i \(0.0539341\pi\)
−0.346803 + 0.937938i \(0.612733\pi\)
\(398\) −4.68284 −0.234730
\(399\) 11.4121 29.2768i 0.571321 1.46567i
\(400\) −1.00000 −0.0500000
\(401\) −17.9661 31.1182i −0.897184 1.55397i −0.831079 0.556155i \(-0.812276\pi\)
−0.0661050 0.997813i \(-0.521057\pi\)
\(402\) 0.799780 1.66222i 0.0398894 0.0829040i
\(403\) −12.1260 + 21.0028i −0.604037 + 1.04622i
\(404\) 3.25224 1.87768i 0.161805 0.0934182i
\(405\) −2.66460 8.59650i −0.132405 0.427164i
\(406\) −30.2896 −1.50325
\(407\) −18.2308 −0.903665
\(408\) −3.11213 + 0.234296i −0.154073 + 0.0115994i
\(409\) −1.54476 0.891867i −0.0763834 0.0441000i 0.461322 0.887233i \(-0.347375\pi\)
−0.537705 + 0.843133i \(0.680709\pi\)
\(410\) 7.63082i 0.376859i
\(411\) −11.9558 17.5230i −0.589736 0.864346i
\(412\) 2.22778 + 1.28621i 0.109755 + 0.0633670i
\(413\) −18.2535 31.6160i −0.898196 1.55572i
\(414\) 0.838986 0.670012i 0.0412339 0.0329293i
\(415\) 0.966883 + 1.67469i 0.0474624 + 0.0822073i
\(416\) 5.88671 3.39869i 0.288620 0.166635i
\(417\) 16.9086 11.5366i 0.828017 0.564949i
\(418\) 7.30446 + 10.6684i 0.357273 + 0.521808i
\(419\) 36.2564i 1.77124i 0.464409 + 0.885621i \(0.346267\pi\)
−0.464409 + 0.885621i \(0.653733\pi\)
\(420\) −3.12555 + 6.49598i −0.152511 + 0.316971i
\(421\) 4.43149 2.55852i 0.215977 0.124695i −0.388109 0.921614i \(-0.626872\pi\)
0.604086 + 0.796919i \(0.293538\pi\)
\(422\) 6.72063 + 3.88016i 0.327155 + 0.188883i
\(423\) 2.31716 + 15.3020i 0.112664 + 0.744010i
\(424\) −1.75415 + 3.03828i −0.0851891 + 0.147552i
\(425\) 1.80187i 0.0874037i
\(426\) 5.88865 4.01778i 0.285306 0.194662i
\(427\) −7.86074 + 13.6152i −0.380408 + 0.658886i
\(428\) −5.93976 + 10.2880i −0.287109 + 0.497287i
\(429\) 28.8475 19.6824i 1.39277 0.950276i
\(430\) 10.2732i 0.495416i
\(431\) 3.31613 5.74370i 0.159732 0.276664i −0.775040 0.631912i \(-0.782270\pi\)
0.934772 + 0.355248i \(0.115604\pi\)
\(432\) 3.80541 3.53820i 0.183088 0.170232i
\(433\) −5.22804 3.01841i −0.251244 0.145056i 0.369090 0.929394i \(-0.379669\pi\)
−0.620334 + 0.784338i \(0.713003\pi\)
\(434\) 12.8599 7.42466i 0.617295 0.356395i
\(435\) 5.46531 11.3588i 0.262042 0.544613i
\(436\) 12.8741i 0.616555i
\(437\) −0.674101 + 1.40688i −0.0322466 + 0.0673001i
\(438\) 19.0112 12.9712i 0.908390 0.619787i
\(439\) 10.6718 6.16135i 0.509336 0.294065i −0.223225 0.974767i \(-0.571658\pi\)
0.732561 + 0.680702i \(0.238325\pi\)
\(440\) −1.48311 2.56881i −0.0707043 0.122463i
\(441\) 19.3241 + 24.1975i 0.920194 + 1.15226i
\(442\) −6.12401 10.6071i −0.291290 0.504528i
\(443\) −6.05385 3.49519i −0.287627 0.166062i 0.349244 0.937032i \(-0.386438\pi\)
−0.636871 + 0.770970i \(0.719772\pi\)
\(444\) −5.99980 8.79361i −0.284738 0.417326i
\(445\) 5.89635i 0.279514i
\(446\) −23.7955 13.7383i −1.12675 0.650529i
\(447\) −12.4337 + 0.936069i −0.588093 + 0.0442745i
\(448\) −4.16200 −0.196636
\(449\) −31.4802 −1.48564 −0.742820 0.669491i \(-0.766512\pi\)
−0.742820 + 0.669491i \(0.766512\pi\)
\(450\) −1.87208 2.34421i −0.0882507 0.110507i
\(451\) 19.6022 11.3173i 0.923030 0.532912i
\(452\) 1.57384 2.72597i 0.0740273 0.128219i
\(453\) −8.35645 + 17.3676i −0.392620 + 0.816001i
\(454\) 12.9280 + 22.3919i 0.606739 + 1.05090i
\(455\) −28.2907 −1.32629
\(456\) −2.74198 + 7.03431i −0.128405 + 0.329412i
\(457\) −29.5618 −1.38284 −0.691421 0.722452i \(-0.743015\pi\)
−0.691421 + 0.722452i \(0.743015\pi\)
\(458\) −2.80280 4.85459i −0.130966 0.226840i
\(459\) −6.37539 6.85686i −0.297578 0.320051i
\(460\) 0.178948 0.309948i 0.00834352 0.0144514i
\(461\) 12.9506 7.47702i 0.603169 0.348240i −0.167118 0.985937i \(-0.553446\pi\)
0.770287 + 0.637697i \(0.220113\pi\)
\(462\) −21.3225 + 1.60526i −0.992011 + 0.0746834i
\(463\) −16.7492 −0.778401 −0.389200 0.921153i \(-0.627249\pi\)
−0.389200 + 0.921153i \(0.627249\pi\)
\(464\) 7.27764 0.337856
\(465\) 0.463923 + 6.16223i 0.0215139 + 0.285767i
\(466\) −22.6080 13.0528i −1.04730 0.604657i
\(467\) 22.2847i 1.03121i −0.856825 0.515607i \(-0.827566\pi\)
0.856825 0.515607i \(-0.172434\pi\)
\(468\) 18.9876 + 7.43705i 0.877703 + 0.343778i
\(469\) −3.83866 2.21625i −0.177253 0.102337i
\(470\) 2.57941 + 4.46767i 0.118979 + 0.206078i
\(471\) −2.79210 37.0871i −0.128653 1.70888i
\(472\) 4.38575 + 7.59635i 0.201871 + 0.349650i
\(473\) 26.3899 15.2362i 1.21341 0.700561i
\(474\) −1.24604 1.82626i −0.0572326 0.0838829i
\(475\) 3.93096 + 1.88350i 0.180365 + 0.0864211i
\(476\) 7.49940i 0.343734i
\(477\) −10.4063 + 1.57580i −0.476471 + 0.0721510i
\(478\) 20.7353 11.9715i 0.948410 0.547565i
\(479\) 24.3132 + 14.0372i 1.11090 + 0.641377i 0.939062 0.343748i \(-0.111697\pi\)
0.171836 + 0.985126i \(0.445030\pi\)
\(480\) 0.750973 1.56078i 0.0342771 0.0712396i
\(481\) 20.8888 36.1805i 0.952449 1.64969i
\(482\) 8.62478i 0.392848i
\(483\) −1.45410 2.13120i −0.0661639 0.0969731i
\(484\) −1.10080 + 1.90663i −0.0500362 + 0.0866652i
\(485\) −6.49772 + 11.2544i −0.295046 + 0.511035i
\(486\) 15.4183 + 2.29688i 0.699389 + 0.104188i
\(487\) 1.65303i 0.0749058i 0.999298 + 0.0374529i \(0.0119244\pi\)
−0.999298 + 0.0374529i \(0.988076\pi\)
\(488\) 1.88869 3.27131i 0.0854971 0.148085i
\(489\) −30.3380 14.5972i −1.37193 0.660108i
\(490\) 8.93933 + 5.16113i 0.403838 + 0.233156i
\(491\) 1.30505 0.753470i 0.0588960 0.0340036i −0.470263 0.882526i \(-0.655841\pi\)
0.529159 + 0.848523i \(0.322508\pi\)
\(492\) 11.9100 + 5.73054i 0.536946 + 0.258353i
\(493\) 13.1134i 0.590597i
\(494\) −29.5418 + 2.27247i −1.32915 + 0.102243i
\(495\) 3.24535 8.28573i 0.145868 0.372416i
\(496\) −3.08983 + 1.78392i −0.138738 + 0.0801002i
\(497\) −8.56493 14.8349i −0.384190 0.665436i
\(498\) −3.33993 + 0.251446i −0.149666 + 0.0112676i
\(499\) 10.7116 + 18.5530i 0.479517 + 0.830549i 0.999724 0.0234919i \(-0.00747840\pi\)
−0.520207 + 0.854040i \(0.674145\pi\)
\(500\) −0.866025 0.500000i −0.0387298 0.0223607i
\(501\) −8.13289 + 5.54900i −0.363351 + 0.247911i
\(502\) 13.1810i 0.588299i
\(503\) −10.8329 6.25439i −0.483016 0.278869i 0.238657 0.971104i \(-0.423293\pi\)
−0.721672 + 0.692235i \(0.756626\pi\)
\(504\) −7.79160 9.75660i −0.347065 0.434594i
\(505\) 3.75536 0.167111
\(506\) 1.06160 0.0471938
\(507\) 4.31755 + 57.3495i 0.191749 + 2.54698i
\(508\) 6.05360 3.49505i 0.268585 0.155068i
\(509\) 12.4948 21.6415i 0.553820 0.959245i −0.444174 0.895941i \(-0.646503\pi\)
0.997994 0.0633042i \(-0.0201638\pi\)
\(510\) −2.81233 1.35316i −0.124532 0.0599189i
\(511\) −27.6514 47.8936i −1.22323 2.11869i
\(512\) 1.00000 0.0441942
\(513\) −21.6231 + 6.74101i −0.954683 + 0.297623i
\(514\) 26.6400 1.17504
\(515\) 1.28621 + 2.22778i 0.0566771 + 0.0981677i
\(516\) 16.0342 + 7.71487i 0.705865 + 0.339628i
\(517\) −7.65108 + 13.2521i −0.336494 + 0.582825i
\(518\) −22.1531 + 12.7901i −0.973353 + 0.561966i
\(519\) 2.91666 + 38.7416i 0.128027 + 1.70057i
\(520\) 6.79738 0.298085
\(521\) 28.9838 1.26980 0.634902 0.772593i \(-0.281041\pi\)
0.634902 + 0.772593i \(0.281041\pi\)
\(522\) 13.6243 + 17.0603i 0.596320 + 0.746710i
\(523\) 36.7094 + 21.1942i 1.60519 + 0.926756i 0.990426 + 0.138044i \(0.0440816\pi\)
0.614763 + 0.788712i \(0.289252\pi\)
\(524\) 13.5296i 0.591044i
\(525\) −5.95479 + 4.06290i −0.259888 + 0.177320i
\(526\) −20.1068 11.6087i −0.876700 0.506163i
\(527\) 3.21439 + 5.56749i 0.140021 + 0.242524i
\(528\) 5.12313 0.385694i 0.222956 0.0167852i
\(529\) −11.4360 19.8077i −0.497215 0.861202i
\(530\) −3.03828 + 1.75415i −0.131974 + 0.0761955i
\(531\) −9.59695 + 24.5021i −0.416472 + 1.06330i
\(532\) 16.3606 + 7.83915i 0.709324 + 0.339870i
\(533\) 51.8696i 2.24672i
\(534\) 9.20292 + 4.42800i 0.398249 + 0.191618i
\(535\) −10.2880 + 5.93976i −0.444787 + 0.256798i
\(536\) 0.922310 + 0.532496i 0.0398377 + 0.0230003i
\(537\) −22.2082 10.6855i −0.958354 0.461114i
\(538\) 2.52385 4.37144i 0.108811 0.188466i
\(539\) 30.6180i 1.31881i
\(540\) 5.06468 1.16147i 0.217949 0.0499817i
\(541\) 7.78025 13.4758i 0.334499 0.579369i −0.648890 0.760883i \(-0.724766\pi\)
0.983388 + 0.181513i \(0.0580996\pi\)
\(542\) 4.52551 7.83842i 0.194387 0.336689i
\(543\) 0.0356010 + 0.0521786i 0.00152779 + 0.00223920i
\(544\) 1.80187i 0.0772547i
\(545\) 6.43703 11.1493i 0.275732 0.477582i
\(546\) 21.2456 44.1556i 0.909226 1.88969i
\(547\) 34.8985 + 20.1487i 1.49215 + 0.861495i 0.999960 0.00899064i \(-0.00286185\pi\)
0.492194 + 0.870486i \(0.336195\pi\)
\(548\) 10.6066 6.12370i 0.453090 0.261592i
\(549\) 11.2044 1.69666i 0.478193 0.0724119i
\(550\) 2.96621i 0.126480i
\(551\) −28.6081 13.7075i −1.21875 0.583958i
\(552\) 0.349376 + 0.512062i 0.0148704 + 0.0217948i
\(553\) −4.60077 + 2.65626i −0.195645 + 0.112956i
\(554\) 2.66778 + 4.62074i 0.113343 + 0.196316i
\(555\) −0.799178 10.6154i −0.0339232 0.450598i
\(556\) 5.90898 + 10.2347i 0.250597 + 0.434046i
\(557\) −9.13519 5.27420i −0.387070 0.223475i 0.293820 0.955861i \(-0.405073\pi\)
−0.680890 + 0.732386i \(0.738407\pi\)
\(558\) −9.96629 3.90358i −0.421907 0.165252i
\(559\) 69.8307i 2.95352i
\(560\) −3.60440 2.08100i −0.152314 0.0879383i
\(561\) −0.694972 9.23123i −0.0293418 0.389743i
\(562\) 13.6990 0.577857
\(563\) −40.4508 −1.70480 −0.852399 0.522892i \(-0.824853\pi\)
−0.852399 + 0.522892i \(0.824853\pi\)
\(564\) −8.91013 + 0.670798i −0.375184 + 0.0282457i
\(565\) 2.72597 1.57384i 0.114683 0.0662120i
\(566\) 0.398146 0.689610i 0.0167353 0.0289864i
\(567\) 8.28504 36.5303i 0.347939 1.53413i
\(568\) 2.05789 + 3.56436i 0.0863470 + 0.149557i
\(569\) −34.8214 −1.45979 −0.729895 0.683559i \(-0.760431\pi\)
−0.729895 + 0.683559i \(0.760431\pi\)
\(570\) −5.89178 + 4.72090i −0.246780 + 0.197737i
\(571\) 4.64987 0.194591 0.0972956 0.995256i \(-0.468981\pi\)
0.0972956 + 0.995256i \(0.468981\pi\)
\(572\) 10.0812 + 17.4612i 0.421518 + 0.730090i
\(573\) 16.7574 34.8276i 0.700049 1.45494i
\(574\) 15.8797 27.5045i 0.662808 1.14802i
\(575\) 0.309948 0.178948i 0.0129257 0.00746267i
\(576\) 1.87208 + 2.34421i 0.0780033 + 0.0976754i
\(577\) 27.5262 1.14593 0.572966 0.819579i \(-0.305793\pi\)
0.572966 + 0.819579i \(0.305793\pi\)
\(578\) 13.7533 0.572060
\(579\) −22.9707 + 1.72934i −0.954629 + 0.0718691i
\(580\) 6.30262 + 3.63882i 0.261702 + 0.151094i
\(581\) 8.04833i 0.333901i
\(582\) −12.6860 18.5933i −0.525853 0.770716i
\(583\) −9.01218 5.20318i −0.373246 0.215494i
\(584\) 6.64377 + 11.5074i 0.274921 + 0.476178i
\(585\) 12.7252 + 15.9345i 0.526124 + 0.658810i
\(586\) 11.8911 + 20.5960i 0.491218 + 0.850815i
\(587\) 8.13311 4.69565i 0.335689 0.193810i −0.322675 0.946510i \(-0.604582\pi\)
0.658364 + 0.752700i \(0.271249\pi\)
\(588\) −14.7686 + 10.0765i −0.609046 + 0.415547i
\(589\) 15.5060 1.19278i 0.638914 0.0491476i
\(590\) 8.77151i 0.361117i
\(591\) −17.0911 + 35.5212i −0.703034 + 1.46115i
\(592\) 5.32272 3.07307i 0.218762 0.126302i
\(593\) 4.48680 + 2.59046i 0.184251 + 0.106377i 0.589288 0.807923i \(-0.299408\pi\)
−0.405037 + 0.914300i \(0.632742\pi\)
\(594\) 10.4951 + 11.2876i 0.430617 + 0.463138i
\(595\) −3.74970 + 6.49467i −0.153723 + 0.266256i
\(596\) 7.19891i 0.294879i
\(597\) 6.69999 4.57135i 0.274212 0.187093i
\(598\) −1.21638 + 2.10683i −0.0497415 + 0.0861549i
\(599\) 8.35558 14.4723i 0.341400 0.591322i −0.643293 0.765620i \(-0.722432\pi\)
0.984693 + 0.174298i \(0.0557656\pi\)
\(600\) 1.43075 0.976190i 0.0584102 0.0398528i
\(601\) 34.8345i 1.42093i −0.703734 0.710464i \(-0.748485\pi\)
0.703734 0.710464i \(-0.251515\pi\)
\(602\) 21.3785 37.0286i 0.871322 1.50917i
\(603\) 0.478356 + 3.15896i 0.0194802 + 0.128643i
\(604\) −9.63670 5.56375i −0.392112 0.226386i
\(605\) −1.90663 + 1.10080i −0.0775157 + 0.0447537i
\(606\) −2.82018 + 5.86130i −0.114562 + 0.238099i
\(607\) 0.510275i 0.0207114i −0.999946 0.0103557i \(-0.996704\pi\)
0.999946 0.0103557i \(-0.00329639\pi\)
\(608\) −3.93096 1.88350i −0.159421 0.0763862i
\(609\) 43.3369 29.5684i 1.75610 1.19817i
\(610\) 3.27131 1.88869i 0.132452 0.0764710i
\(611\) −17.5333 30.3685i −0.709320 1.22858i
\(612\) 4.22397 3.37325i 0.170744 0.136356i
\(613\) −1.27998 2.21700i −0.0516980 0.0895436i 0.839018 0.544103i \(-0.183130\pi\)
−0.890716 + 0.454560i \(0.849797\pi\)
\(614\) 7.52401 + 4.34399i 0.303644 + 0.175309i
\(615\) 7.44913 + 10.9178i 0.300378 + 0.440249i
\(616\) 12.3454i 0.497409i
\(617\) −4.50617 2.60164i −0.181412 0.104738i 0.406544 0.913631i \(-0.366734\pi\)
−0.587956 + 0.808893i \(0.700067\pi\)
\(618\) −4.44299 + 0.334490i −0.178723 + 0.0134551i
\(619\) 0.708705 0.0284853 0.0142426 0.999899i \(-0.495466\pi\)
0.0142426 + 0.999899i \(0.495466\pi\)
\(620\) −3.56783 −0.143288
\(621\) −0.546322 + 1.77763i −0.0219231 + 0.0713338i
\(622\) 16.8527 9.72990i 0.675731 0.390133i
\(623\) 12.2703 21.2528i 0.491600 0.851476i
\(624\) −5.10465 + 10.6092i −0.204350 + 0.424709i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 14.0508 0.561581
\(627\) −20.8653 8.13329i −0.833278 0.324812i
\(628\) 21.4728 0.856860
\(629\) −5.53729 9.59086i −0.220786 0.382413i
\(630\) −1.86942 12.3453i −0.0744794 0.491847i
\(631\) −1.98291 + 3.43450i −0.0789383 + 0.136725i −0.902792 0.430077i \(-0.858486\pi\)
0.823854 + 0.566802i \(0.191820\pi\)
\(632\) 1.10542 0.638217i 0.0439714 0.0253869i
\(633\) −13.4033 + 1.00907i −0.532735 + 0.0401069i
\(634\) 13.1654 0.522866
\(635\) 6.99009 0.277393
\(636\) −0.456182 6.05941i −0.0180888 0.240271i
\(637\) −60.7641 35.0822i −2.40756 1.39001i
\(638\) 21.5870i 0.854638i
\(639\) −4.50309 + 11.4969i −0.178140 + 0.454810i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) −13.4779 23.3444i −0.532345 0.922048i −0.999287 0.0377601i \(-0.987978\pi\)
0.466942 0.884288i \(-0.345356\pi\)
\(642\) −1.54468 20.5179i −0.0609638 0.809776i
\(643\) 19.5490 + 33.8598i 0.770936 + 1.33530i 0.937050 + 0.349195i \(0.113545\pi\)
−0.166114 + 0.986107i \(0.553122\pi\)
\(644\) 1.29000 0.744784i 0.0508333 0.0293486i
\(645\) 10.0286 + 14.6984i 0.394875 + 0.578748i
\(646\) −3.39384 + 7.08308i −0.133529 + 0.278680i
\(647\) 25.0967i 0.986652i −0.869844 0.493326i \(-0.835781\pi\)
0.869844 0.493326i \(-0.164219\pi\)
\(648\) −1.99064 + 8.77709i −0.0781996 + 0.344797i
\(649\) −22.5324 + 13.0091i −0.884473 + 0.510651i
\(650\) 5.88671 + 3.39869i 0.230896 + 0.133308i
\(651\) −11.1514 + 23.1766i −0.437059 + 0.908361i
\(652\) 9.71885 16.8335i 0.380620 0.659253i
\(653\) 26.7637i 1.04734i −0.851920 0.523672i \(-0.824562\pi\)
0.851920 0.523672i \(-0.175438\pi\)
\(654\) 12.5675 + 18.4196i 0.491429 + 0.720263i
\(655\) −6.76481 + 11.7170i −0.264323 + 0.457821i
\(656\) −3.81541 + 6.60849i −0.148967 + 0.258018i
\(657\) −14.5380 + 37.1171i −0.567181 + 1.44808i
\(658\) 21.4710i 0.837028i
\(659\) −4.82716 + 8.36088i −0.188039 + 0.325694i −0.944596 0.328234i \(-0.893547\pi\)
0.756557 + 0.653928i \(0.226880\pi\)
\(660\) 4.62961 + 2.22754i 0.180207 + 0.0867070i
\(661\) 12.4152 + 7.16792i 0.482895 + 0.278800i 0.721622 0.692287i \(-0.243397\pi\)
−0.238727 + 0.971087i \(0.576730\pi\)
\(662\) 3.81697 2.20373i 0.148351 0.0856503i
\(663\) 19.1165 + 9.19794i 0.742423 + 0.357218i
\(664\) 1.93377i 0.0750447i
\(665\) 10.2492 + 14.9692i 0.397445 + 0.580482i
\(666\) 17.1685 + 6.72453i 0.665265 + 0.260570i
\(667\) −2.25569 + 1.30232i −0.0873407 + 0.0504262i
\(668\) −2.84217 4.92279i −0.109967 0.190468i
\(669\) 47.4567 3.57277i 1.83478 0.138131i
\(670\) 0.532496 + 0.922310i 0.0205721 + 0.0356320i
\(671\) 9.70340 + 5.60226i 0.374596 + 0.216273i
\(672\) 5.95479 4.06290i 0.229711 0.156730i
\(673\) 2.57499i 0.0992586i 0.998768 + 0.0496293i \(0.0158040\pi\)
−0.998768 + 0.0496293i \(0.984196\pi\)
\(674\) 4.81309 + 2.77884i 0.185393 + 0.107037i
\(675\) 4.96688 + 1.52648i 0.191175 + 0.0587542i
\(676\) −33.2044 −1.27709
\(677\) 25.1278 0.965739 0.482870 0.875692i \(-0.339594\pi\)
0.482870 + 0.875692i \(0.339594\pi\)
\(678\) 0.409291 + 5.43656i 0.0157187 + 0.208790i
\(679\) −46.8408 + 27.0435i −1.79758 + 1.03784i
\(680\) 0.900937 1.56047i 0.0345493 0.0598412i
\(681\) −40.3554 19.4171i −1.54642 0.744065i
\(682\) −5.29147 9.16510i −0.202621 0.350950i
\(683\) −17.1516 −0.656289 −0.328145 0.944627i \(-0.606423\pi\)
−0.328145 + 0.944627i \(0.606423\pi\)
\(684\) −2.94373 12.7411i −0.112556 0.487166i
\(685\) 12.2474 0.467949
\(686\) 6.91361 + 11.9747i 0.263963 + 0.457197i
\(687\) 8.74911 + 4.20965i 0.333800 + 0.160608i
\(688\) −5.13659 + 8.89683i −0.195831 + 0.339188i
\(689\) 20.6523 11.9236i 0.786792 0.454254i
\(690\) 0.0465371 + 0.618146i 0.00177164 + 0.0235324i
\(691\) −19.5888 −0.745193 −0.372597 0.927993i \(-0.621532\pi\)
−0.372597 + 0.927993i \(0.621532\pi\)
\(692\) −22.4308 −0.852690
\(693\) 28.9401 23.1115i 1.09935 0.877934i
\(694\) −2.06156 1.19024i −0.0782559 0.0451811i
\(695\) 11.8180i 0.448281i
\(696\) −10.4125 + 7.10436i −0.394685 + 0.269290i
\(697\) 11.9077 + 6.87489i 0.451035 + 0.260405i
\(698\) 10.6939 + 18.5223i 0.404769 + 0.701080i
\(699\) 45.0885 3.39448i 1.70540 0.128391i
\(700\) −2.08100 3.60440i −0.0786544 0.136233i
\(701\) −26.3609 + 15.2194i −0.995636 + 0.574831i −0.906954 0.421229i \(-0.861599\pi\)
−0.0886817 + 0.996060i \(0.528265\pi\)
\(702\) −34.4266 + 7.89495i −1.29935 + 0.297976i
\(703\) −26.7115 + 2.05475i −1.00744 + 0.0774963i
\(704\) 2.96621i 0.111793i
\(705\) −8.05180 3.87414i −0.303248 0.145908i
\(706\) 29.9848 17.3117i 1.12849 0.651536i
\(707\) 13.5358 + 7.81491i 0.509067 + 0.293910i
\(708\) −13.6904 6.58716i −0.514517 0.247561i
\(709\) 4.75537 8.23654i 0.178592 0.309330i −0.762807 0.646626i \(-0.776179\pi\)
0.941398 + 0.337297i \(0.109513\pi\)
\(710\) 4.11577i 0.154462i
\(711\) 3.56555 + 1.39655i 0.133719 + 0.0523748i
\(712\) −2.94818 + 5.10639i −0.110488 + 0.191370i
\(713\) 0.638458 1.10584i 0.0239104 0.0414141i
\(714\) −7.32084 10.7298i −0.273976 0.401552i
\(715\) 20.1625i 0.754034i
\(716\) 7.11444 12.3226i 0.265879 0.460516i
\(717\) −17.9806 + 37.3699i −0.671497 + 1.39560i
\(718\) −18.8394 10.8769i −0.703080 0.405924i
\(719\) −34.4372 + 19.8823i −1.28429 + 0.741485i −0.977630 0.210334i \(-0.932545\pi\)
−0.306660 + 0.951819i \(0.599212\pi\)
\(720\) 0.449163 + 2.96618i 0.0167393 + 0.110543i
\(721\) 10.7064i 0.398727i
\(722\) 11.9048 + 14.8079i 0.443052 + 0.551095i
\(723\) −8.41943 12.3399i −0.313122 0.458927i
\(724\) −0.0315834 + 0.0182347i −0.00117379 + 0.000677686i
\(725\) 3.63882 + 6.30262i 0.135142 + 0.234074i
\(726\) −0.286271 3.80251i −0.0106245 0.141124i
\(727\) 10.4980 + 18.1831i 0.389350 + 0.674374i 0.992362 0.123358i \(-0.0393664\pi\)
−0.603012 + 0.797732i \(0.706033\pi\)
\(728\) 24.5005 + 14.1454i 0.908048 + 0.524262i
\(729\) −24.3020 + 11.7649i −0.900073 + 0.435739i
\(730\) 13.2875i 0.491794i
\(731\) 16.0310 + 9.25548i 0.592926 + 0.342326i
\(732\) 0.491171 + 6.52416i 0.0181542 + 0.241140i
\(733\) 9.50251 0.350983 0.175492 0.984481i \(-0.443849\pi\)
0.175492 + 0.984481i \(0.443849\pi\)
\(734\) −12.5749 −0.464147
\(735\) −17.8282 + 1.34220i −0.657604 + 0.0495076i
\(736\) −0.309948 + 0.178948i −0.0114248 + 0.00659613i
\(737\) −1.57950 + 2.73577i −0.0581815 + 0.100773i
\(738\) −22.6344 + 3.42749i −0.833185 + 0.126168i
\(739\) −14.5149 25.1405i −0.533939 0.924809i −0.999214 0.0396431i \(-0.987378\pi\)
0.465275 0.885166i \(-0.345955\pi\)
\(740\) 6.14614 0.225937
\(741\) 40.0487 32.0898i 1.47123 1.17885i
\(742\) −14.6016 −0.536040
\(743\) −4.08693 7.07877i −0.149935 0.259695i 0.781268 0.624195i \(-0.214573\pi\)
−0.931203 + 0.364500i \(0.881240\pi\)
\(744\) 2.67935 5.56861i 0.0982296 0.204155i
\(745\) 3.59946 6.23444i 0.131874 0.228412i
\(746\) 16.2847 9.40195i 0.596224 0.344230i
\(747\) 4.53315 3.62016i 0.165859 0.132455i
\(748\) 5.34474 0.195423
\(749\) −49.4426 −1.80659
\(750\) 1.72716 0.130029i 0.0630671 0.00474800i
\(751\) 0.510899 + 0.294967i 0.0186430 + 0.0107635i 0.509293 0.860593i \(-0.329907\pi\)
−0.490650 + 0.871357i \(0.663240\pi\)
\(752\) 5.15882i 0.188123i
\(753\) 12.8672 + 18.8588i 0.468907 + 0.687253i
\(754\) −42.8413 24.7345i −1.56019 0.900776i
\(755\) −5.56375 9.63670i −0.202486 0.350715i
\(756\) 20.6721 + 6.35320i 0.751839 + 0.231064i
\(757\) −1.45489 2.51995i −0.0528791 0.0915892i 0.838374 0.545095i \(-0.183506\pi\)
−0.891253 + 0.453506i \(0.850173\pi\)
\(758\) −21.6757 + 12.5144i −0.787295 + 0.454545i
\(759\) −1.51888 + 1.03632i −0.0551320 + 0.0376161i
\(760\) −2.46256 3.59664i −0.0893263 0.130464i
\(761\) 30.5864i 1.10876i −0.832264 0.554379i \(-0.812956\pi\)
0.832264 0.554379i \(-0.187044\pi\)
\(762\) −5.24937 + 10.9100i −0.190165 + 0.395228i
\(763\) 46.4032 26.7909i 1.67991 0.969896i
\(764\) 19.3247 + 11.1571i 0.699142 + 0.403650i
\(765\) 5.34469 0.809336i 0.193238 0.0292616i
\(766\) 2.61339 4.52653i 0.0944258 0.163550i
\(767\) 59.6233i 2.15287i
\(768\) −1.43075 + 0.976190i −0.0516278 + 0.0352252i
\(769\) 12.2534 21.2235i 0.441869 0.765339i −0.555959 0.831209i \(-0.687649\pi\)
0.997828 + 0.0658703i \(0.0209824\pi\)
\(770\) 6.17269 10.6914i 0.222448 0.385292i
\(771\) −38.1153 + 26.0057i −1.37269 + 0.936573i
\(772\) 13.2997i 0.478665i
\(773\) −18.2611 + 31.6291i −0.656805 + 1.13762i 0.324632 + 0.945840i \(0.394759\pi\)
−0.981438 + 0.191780i \(0.938574\pi\)
\(774\) −30.4721 + 4.61433i −1.09530 + 0.165859i
\(775\) −3.08983 1.78392i −0.110990 0.0640802i