Properties

Label 570.2.s.b.521.6
Level $570$
Weight $2$
Character 570.521
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 521.6
Character \(\chi\) \(=\) 570.521
Dual form 570.2.s.b.221.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(0.130029 + 1.72716i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.56078 + 0.750973i) q^{6} -4.16200 q^{7} -1.00000 q^{8} +(-2.96618 + 0.449163i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(0.130029 + 1.72716i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.56078 + 0.750973i) q^{6} -4.16200 q^{7} -1.00000 q^{8} +(-2.96618 + 0.449163i) 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} +(-0.750973 + 1.56078i) 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} +(-0.541182 - 7.18845i) q^{21} +(2.56881 + 1.48311i) q^{22} +(-0.309948 + 0.178948i) q^{23} +(-0.130029 - 1.72716i) 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} +(-5.12313 + 0.385694i) q^{33} +(1.56047 - 0.900937i) q^{34} +(-3.60440 - 2.08100i) q^{35} +(1.87208 + 2.34421i) 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} +(-6.49598 - 3.12555i) 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} +(-1.56078 - 0.750973i) q^{48} +10.3223 q^{49} +1.00000 q^{50} +(-1.35316 + 2.81233i) q^{51} +(5.88671 + 3.39869i) q^{52} +(1.75415 + 3.03828i) q^{53} +(-4.96688 - 1.52648i) q^{54} +(-1.48311 + 2.56881i) q^{55} +4.16200 q^{56} +(7.54982 + 0.0123016i) q^{57} +7.27764 q^{58} +(-4.38575 + 7.59635i) q^{59} +(1.72716 - 0.130029i) q^{60} +(1.88869 + 3.27131i) q^{61} +(3.08983 + 1.78392i) q^{62} +(12.3453 - 1.86942i) q^{63} +1.00000 q^{64} -6.79738 q^{65} +(-2.22754 + 4.62961i) 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} +(2.96618 - 0.449163i) 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} +(-11.7402 + 0.883859i) q^{78} +(1.10542 + 0.638217i) q^{79} +(-0.866025 + 0.500000i) q^{80} +(8.59650 - 2.66460i) 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} +(-2.34421 + 1.87208i) q^{90} +(24.5005 - 14.1454i) q^{91} +(0.309948 + 0.178948i) q^{92} +(-6.16223 + 0.463923i) 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} +(-1.33231 - 8.79833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

Character values

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

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

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
\(3\) 0.130029 + 1.72716i 0.0750724 + 0.997178i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 1.56078 + 0.750973i 0.637186 + 0.306583i
\(7\) −4.16200 −1.57309 −0.786544 0.617534i \(-0.788132\pi\)
−0.786544 + 0.617534i \(0.788132\pi\)
\(8\) −1.00000 −0.353553
\(9\) −2.96618 + 0.449163i −0.988728 + 0.149721i
\(10\) 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 −0.649416 + 0.760433i \(0.724987\pi\)
−0.983263 + 0.182194i \(0.941680\pi\)
\(14\) −2.08100 + 3.60440i −0.556171 + 0.963316i
\(15\) −0.750973 + 1.56078i −0.193900 + 0.402992i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.56047 + 0.900937i 0.378469 + 0.218509i 0.677152 0.735843i \(-0.263214\pi\)
−0.298683 + 0.954352i \(0.596547\pi\)
\(18\) −1.09411 + 2.79337i −0.257883 + 0.658404i
\(19\) 0.334315 4.34606i 0.0766971 0.997054i
\(20\) 1.00000i 0.223607i
\(21\) −0.541182 7.18845i −0.118096 1.56865i
\(22\) 2.56881 + 1.48311i 0.547673 + 0.316199i
\(23\) −0.309948 + 0.178948i −0.0646286 + 0.0373133i −0.531966 0.846766i \(-0.678547\pi\)
0.467338 + 0.884079i \(0.345213\pi\)
\(24\) −0.130029 1.72716i −0.0265421 0.352556i
\(25\) 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 0.976260 + 0.216601i \(0.0694971\pi\)
−0.300548 + 0.953767i \(0.597170\pi\)
\(30\) 0.976190 + 1.43075i 0.178227 + 0.261218i
\(31\) 3.56783i 0.640802i 0.947282 + 0.320401i \(0.103818\pi\)
−0.947282 + 0.320401i \(0.896182\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) −5.12313 + 0.385694i −0.891823 + 0.0671407i
\(34\) 1.56047 0.900937i 0.267618 0.154509i
\(35\) −3.60440 2.08100i −0.609255 0.351753i
\(36\) 1.87208 + 2.34421i 0.312013 + 0.390702i
\(37\) 6.14614i 1.01042i −0.862997 0.505210i \(-0.831415\pi\)
0.862997 0.505210i \(-0.168585\pi\)
\(38\) −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 −0.397557 0.917578i \(-0.630142\pi\)
0.993424 0.114495i \(-0.0365249\pi\)
\(42\) −6.49598 3.12555i −1.00235 0.482283i
\(43\) −5.13659 + 8.89683i −0.783322 + 1.35675i 0.146674 + 0.989185i \(0.453143\pi\)
−0.929996 + 0.367569i \(0.880190\pi\)
\(44\) 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 \(-0.789452\pi\)
0.137421 + 0.990513i \(0.456119\pi\)
\(48\) −1.56078 0.750973i −0.225279 0.108394i
\(49\) 10.3223 1.47461
\(50\) 1.00000 0.141421
\(51\) −1.35316 + 2.81233i −0.189480 + 0.393805i
\(52\) 5.88671 + 3.39869i 0.816339 + 0.471314i
\(53\) 1.75415 + 3.03828i 0.240951 + 0.417340i 0.960985 0.276599i \(-0.0892073\pi\)
−0.720034 + 0.693938i \(0.755874\pi\)
\(54\) −4.96688 1.52648i −0.675906 0.207727i
\(55\) −1.48311 + 2.56881i −0.199982 + 0.346379i
\(56\) 4.16200 0.556171
\(57\) 7.54982 + 0.0123016i 0.999999 + 0.00162939i
\(58\) 7.27764 0.955601
\(59\) −4.38575 + 7.59635i −0.570976 + 0.988960i 0.425490 + 0.904963i \(0.360102\pi\)
−0.996466 + 0.0839969i \(0.973231\pi\)
\(60\) 1.72716 0.130029i 0.222976 0.0167867i
\(61\) 1.88869 + 3.27131i 0.241822 + 0.418849i 0.961233 0.275736i \(-0.0889215\pi\)
−0.719411 + 0.694585i \(0.755588\pi\)
\(62\) 3.08983 + 1.78392i 0.392409 + 0.226558i
\(63\) 12.3453 1.86942i 1.55536 0.235525i
\(64\) 1.00000 0.125000
\(65\) −6.79738 −0.843112
\(66\) −2.22754 + 4.62961i −0.274192 + 0.569865i
\(67\) 0.922310 0.532496i 0.112678 0.0650548i −0.442602 0.896718i \(-0.645944\pi\)
0.555280 + 0.831664i \(0.312611\pi\)
\(68\) 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 \(-0.911867\pi\)
0.717688 + 0.696365i \(0.245201\pi\)
\(72\) 2.96618 0.449163i 0.349568 0.0529344i
\(73\) 6.64377 11.5074i 0.777595 1.34683i −0.155729 0.987800i \(-0.549773\pi\)
0.933324 0.359034i \(-0.116894\pi\)
\(74\) −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
\(78\) −11.7402 + 0.883859i −1.32931 + 0.100077i
\(79\) 1.10542 + 0.638217i 0.124370 + 0.0718050i 0.560894 0.827887i \(-0.310457\pi\)
−0.436524 + 0.899692i \(0.643791\pi\)
\(80\) −0.866025 + 0.500000i −0.0968246 + 0.0559017i
\(81\) 8.59650 2.66460i 0.955167 0.296067i
\(82\) −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 \(-0.0654982\pi\)
−0.666398 + 0.745596i \(0.732165\pi\)
\(90\) −2.34421 + 1.87208i −0.247101 + 0.197334i
\(91\) 24.5005 14.1454i 2.56835 1.48284i
\(92\) 0.309948 + 0.178948i 0.0323143 + 0.0186567i
\(93\) −6.16223 + 0.463923i −0.638993 + 0.0481065i
\(94\) 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 0.947100 0.320938i \(-0.103998\pi\)
0.195610 + 0.980682i \(0.437331\pi\)
\(98\) 5.16113 8.93933i 0.521353 0.903009i
\(99\) −1.33231 8.79833i −0.133903 0.884265i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) 3.25224 1.87768i 0.323610 0.186836i −0.329391 0.944194i \(-0.606843\pi\)
0.653001 + 0.757357i \(0.273510\pi\)
\(102\) 1.75897 + 2.57804i 0.174164 + 0.255264i
\(103\) 2.57242i 0.253468i 0.991937 + 0.126734i \(0.0404494\pi\)
−0.991937 + 0.126734i \(0.959551\pi\)
\(104\) 5.88671 3.39869i 0.577239 0.333269i
\(105\) 3.12555 6.49598i 0.305022 0.633942i
\(106\) 3.50830 0.340756
\(107\) −11.8795 −1.14844 −0.574218 0.818702i \(-0.694694\pi\)
−0.574218 + 0.818702i \(0.694694\pi\)
\(108\) −3.80541 + 3.53820i −0.366175 + 0.340464i
\(109\) −11.1493 6.43703i −1.06790 0.616555i −0.140297 0.990110i \(-0.544806\pi\)
−0.927608 + 0.373554i \(0.878139\pi\)
\(110\) 1.48311 + 2.56881i 0.141409 + 0.244927i
\(111\) 10.6154 0.799178i 1.00757 0.0758546i
\(112\) 2.08100 3.60440i 0.196636 0.340584i
\(113\) 3.14768 0.296109 0.148055 0.988979i \(-0.452699\pi\)
0.148055 + 0.988979i \(0.452699\pi\)
\(114\) 3.78557 6.53219i 0.354551 0.611796i
\(115\) −0.357897 −0.0333741
\(116\) 3.63882 6.30262i 0.337856 0.585184i
\(117\) 15.9345 12.7252i 1.47314 1.17645i
\(118\) 4.38575 + 7.59635i 0.403741 + 0.699300i
\(119\) −6.49467 3.74970i −0.595366 0.343734i
\(120\) 0.750973 1.56078i 0.0685541 0.142479i
\(121\) 2.20159 0.200145
\(122\) 3.77739 0.341989
\(123\) 11.9100 + 5.73054i 1.07389 + 0.516706i
\(124\) 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 −0.743931 0.668256i \(-0.767041\pi\)
0.206761 + 0.978391i \(0.433708\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) −16.0342 7.71487i −1.41173 0.679257i
\(130\) −3.39869 + 5.88671i −0.298085 + 0.516298i
\(131\) −11.7170 6.76481i −1.02372 0.591044i −0.108540 0.994092i \(-0.534617\pi\)
−0.915179 + 0.403048i \(0.867951\pi\)
\(132\) 2.89559 + 4.24391i 0.252028 + 0.369385i
\(133\) −1.39142 + 18.0883i −0.120651 + 1.56845i
\(134\) 1.06499i 0.0920013i
\(135\) 1.52648 4.96688i 0.131378 0.427481i
\(136\) −1.56047 0.900937i −0.133809 0.0772547i
\(137\) 10.6066 6.12370i 0.906180 0.523183i 0.0269800 0.999636i \(-0.491411\pi\)
0.879200 + 0.476453i \(0.158078\pi\)
\(138\) −0.618146 + 0.0465371i −0.0526201 + 0.00396150i
\(139\) 5.90898 + 10.2347i 0.501193 + 0.868092i 0.999999 + 0.00137828i \(0.000438719\pi\)
−0.498806 + 0.866714i \(0.666228\pi\)
\(140\) 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
\(147\) 1.34220 + 17.8282i 0.110702 + 1.47045i
\(148\) −5.32272 + 3.07307i −0.437524 + 0.252605i
\(149\) 6.23444 + 3.59946i 0.510745 + 0.294879i 0.733140 0.680078i \(-0.238054\pi\)
−0.222395 + 0.974957i \(0.571387\pi\)
\(150\) 0.130029 + 1.72716i 0.0106168 + 0.141022i
\(151\) 11.1275i 0.905543i −0.891627 0.452772i \(-0.850435\pi\)
0.891627 0.452772i \(-0.149565\pi\)
\(152\) −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
\(156\) −5.10465 + 10.6092i −0.408699 + 0.849418i
\(157\) −10.7364 + 18.5960i −0.856860 + 1.48412i 0.0180496 + 0.999837i \(0.494254\pi\)
−0.874909 + 0.484287i \(0.839079\pi\)
\(158\) 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
\(162\) 1.99064 8.77709i 0.156399 0.689594i
\(163\) −19.4377 −1.52248 −0.761239 0.648471i \(-0.775409\pi\)
−0.761239 + 0.648471i \(0.775409\pi\)
\(164\) −7.63082 −0.595867
\(165\) −4.62961 2.22754i −0.360414 0.173414i
\(166\) −1.67469 0.966883i −0.129981 0.0750447i
\(167\) 2.84217 + 4.92279i 0.219934 + 0.380937i 0.954788 0.297289i \(-0.0960825\pi\)
−0.734854 + 0.678226i \(0.762749\pi\)
\(168\) 0.541182 + 7.18845i 0.0417531 + 0.554601i
\(169\) 16.6022 28.7559i 1.27709 2.21199i
\(170\) 1.80187 0.138197
\(171\) 0.960451 + 13.0414i 0.0734475 + 0.997299i
\(172\) 10.2732 0.783322
\(173\) −11.2154 + 19.4256i −0.852690 + 1.47690i 0.0260821 + 0.999660i \(0.491697\pi\)
−0.878772 + 0.477242i \(0.841636\pi\)
\(174\) 0.946306 + 12.5697i 0.0717393 + 0.952905i
\(175\) −2.08100 3.60440i −0.157309 0.272467i
\(176\) −2.56881 1.48311i −0.193632 0.111793i
\(177\) −13.6904 6.58716i −1.02903 0.495122i
\(178\) 5.89635 0.441950
\(179\) 14.2289 1.06352 0.531758 0.846896i \(-0.321531\pi\)
0.531758 + 0.846896i \(0.321531\pi\)
\(180\) 0.449163 + 2.96618i 0.0334787 + 0.221086i
\(181\) 0.0315834 0.0182347i 0.00234757 0.00135537i −0.498826 0.866702i \(-0.666235\pi\)
0.501173 + 0.865347i \(0.332902\pi\)
\(182\) 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
\(186\) −2.67935 + 5.56861i −0.196459 + 0.408310i
\(187\) −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 \(-0.299072\pi\)
\(192\) 0.130029 + 1.72716i 0.00938405 + 0.124647i
\(193\) −11.5178 6.64983i −0.829072 0.478665i 0.0244626 0.999701i \(-0.492213\pi\)
−0.853535 + 0.521036i \(0.825546\pi\)
\(194\) 11.2544 6.49772i 0.808018 0.466509i
\(195\) −0.883859 11.7402i −0.0632944 0.840732i
\(196\) −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 0.937003 0.349323i \(-0.113588\pi\)
−0.771023 + 0.636807i \(0.780255\pi\)
\(200\) −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
\(204\) 3.11213 0.234296i 0.217893 0.0164040i
\(205\) 6.60849 3.81541i 0.461557 0.266480i
\(206\) 2.22778 + 1.28621i 0.155217 + 0.0896144i
\(207\) 0.838986 0.670012i 0.0583135 0.0465690i
\(208\) 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 0.250498 0.968117i \(-0.419406\pi\)
−0.713165 + 0.700996i \(0.752739\pi\)
\(212\) 1.75415 3.03828i 0.120476 0.208670i
\(213\) −6.42382 3.09083i −0.440153 0.211780i
\(214\) −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
\(219\) 20.7390 + 9.97859i 1.40141 + 0.674291i
\(220\) 2.96621 0.199982
\(221\) −12.2480 −0.823891
\(222\) 4.61559 9.59279i 0.309778 0.643826i
\(223\) 23.7955 + 13.7383i 1.59346 + 0.919987i 0.992707 + 0.120556i \(0.0384678\pi\)
0.600758 + 0.799431i \(0.294866\pi\)
\(224\) −2.08100 3.60440i −0.139043 0.240829i
\(225\) −1.87208 2.34421i −0.124805 0.156281i
\(226\) 1.57384 2.72597i 0.104690 0.181329i
\(227\) 25.8559 1.71612 0.858059 0.513551i \(-0.171670\pi\)
0.858059 + 0.513551i \(0.171670\pi\)
\(228\) −3.76426 6.54449i −0.249294 0.433419i
\(229\) 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
\(231\) 21.3225 1.60526i 1.40292 0.105618i
\(232\) −3.63882 6.30262i −0.238900 0.413787i
\(233\) −22.6080 13.0528i −1.48110 0.855114i −0.481331 0.876539i \(-0.659847\pi\)
−0.999770 + 0.0214243i \(0.993180\pi\)
\(234\) −3.05314 20.1623i −0.199590 1.31805i
\(235\) −5.15882 −0.336525
\(236\) 8.77151 0.570976
\(237\) −0.958567 + 1.99223i −0.0622656 + 0.129409i
\(238\) −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 −0.720891 0.693049i \(-0.756267\pi\)
0.239752 + 0.970834i \(0.422934\pi\)
\(242\) 1.10080 1.90663i 0.0707619 0.122563i
\(243\) 5.72000 + 14.5011i 0.366938 + 0.930245i
\(244\) 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
\(249\) 3.33993 0.251446i 0.211659 0.0159348i
\(250\) 0.866025 + 0.500000i 0.0547723 + 0.0316228i
\(251\) −11.4151 + 6.59052i −0.720516 + 0.415990i −0.814942 0.579542i \(-0.803231\pi\)
0.0944268 + 0.995532i \(0.469898\pi\)
\(252\) −7.79160 9.75660i −0.490824 0.614608i
\(253\) −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 0.897342 + 0.441336i \(0.145495\pi\)
−0.0664625 + 0.997789i \(0.521171\pi\)
\(258\) −14.6984 + 10.0286i −0.915080 + 0.624351i
\(259\) 25.5803i 1.58948i
\(260\) 3.39869 + 5.88671i 0.210778 + 0.365078i
\(261\) −13.6243 17.0603i −0.843324 1.05601i
\(262\) −11.7170 + 6.76481i −0.723878 + 0.417931i
\(263\) −20.1068 11.6087i −1.23984 0.715822i −0.270779 0.962641i \(-0.587281\pi\)
−0.969062 + 0.246819i \(0.920615\pi\)
\(264\) 5.12313 0.385694i 0.315307 0.0237378i
\(265\) 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 \(-0.882511\pi\)
0.778769 + 0.627310i \(0.215844\pi\)
\(270\) −3.53820 3.80541i −0.215328 0.231590i
\(271\) 4.52551 7.83842i 0.274905 0.476150i −0.695206 0.718811i \(-0.744687\pi\)
0.970111 + 0.242661i \(0.0780202\pi\)
\(272\) −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
\(276\) −0.268771 + 0.558599i −0.0161781 + 0.0336237i
\(277\) −5.33557 −0.320583 −0.160292 0.987070i \(-0.551243\pi\)
−0.160292 + 0.987070i \(0.551243\pi\)
\(278\) 11.8180 0.708794
\(279\) −1.60254 10.5829i −0.0959416 0.633579i
\(280\) 3.60440 + 2.08100i 0.215404 + 0.124364i
\(281\) 6.84949 + 11.8637i 0.408606 + 0.707727i 0.994734 0.102492i \(-0.0326816\pi\)
−0.586127 + 0.810219i \(0.699348\pi\)
\(282\) −8.91013 + 0.670798i −0.530591 + 0.0399455i
\(283\) 0.398146 0.689610i 0.0236673 0.0409930i −0.853949 0.520356i \(-0.825799\pi\)
0.877616 + 0.479363i \(0.159132\pi\)
\(284\) 4.11577 0.244226
\(285\) 6.53219 + 3.78557i 0.386933 + 0.224238i
\(286\) −20.1625 −1.19223
\(287\) −15.8797 + 27.5045i −0.937352 + 1.62354i
\(288\) −1.87208 2.34421i −0.110313 0.138134i
\(289\) −6.87663 11.9107i −0.404507 0.700627i
\(290\) 6.30262 + 3.63882i 0.370103 + 0.213679i
\(291\) −9.75923 + 20.2831i −0.572096 + 1.18901i
\(292\) −13.2875 −0.777595
\(293\) 23.7823 1.38937 0.694687 0.719312i \(-0.255543\pi\)
0.694687 + 0.719312i \(0.255543\pi\)
\(294\) 16.1108 + 7.75173i 0.939600 + 0.452090i
\(295\) −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
\(300\) 1.56078 + 0.750973i 0.0901118 + 0.0433574i
\(301\) 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
\(306\) −4.22397 + 3.37325i −0.241468 + 0.192836i
\(307\) −7.52401 4.34399i −0.429418 0.247924i 0.269681 0.962950i \(-0.413082\pi\)
−0.699099 + 0.715025i \(0.746415\pi\)
\(308\) −10.6914 + 6.17269i −0.609199 + 0.351721i
\(309\) −4.44299 + 0.334490i −0.252753 + 0.0190284i
\(310\) 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 0.596269 0.802785i \(-0.296649\pi\)
−0.993366 + 0.114991i \(0.963316\pi\)
\(314\) 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 \(-0.0461195\pi\)
−0.619800 + 0.784760i \(0.712786\pi\)
\(318\) 0.456182 + 6.05941i 0.0255814 + 0.339795i
\(319\) −18.6949 + 10.7935i −1.04671 + 0.604321i
\(320\) 0.866025 + 0.500000i 0.0484123 + 0.0279508i
\(321\) −1.54468 20.5179i −0.0862159 1.14520i
\(322\) 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
\(327\) 9.66806 20.0936i 0.534645 1.11118i
\(328\) −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 \(-0.961349\pi\)
0.992637 0.121128i \(-0.0386511\pi\)
\(332\) −1.67469 + 0.966883i −0.0919106 + 0.0530646i
\(333\) 2.76062 + 18.2306i 0.151281 + 0.999030i
\(334\) 5.68435 0.311034
\(335\) 1.06499 0.0581868
\(336\) 6.49598 + 3.12555i 0.354385 + 0.170513i
\(337\) −4.81309 2.77884i −0.262186 0.151373i 0.363146 0.931732i \(-0.381703\pi\)
−0.625331 + 0.780359i \(0.715036\pi\)
\(338\) −16.6022 28.7559i −0.903041 1.56411i
\(339\) 0.409291 + 5.43656i 0.0222296 + 0.295273i
\(340\) 0.900937 1.56047i 0.0488602 0.0846283i
\(341\) −10.5829 −0.573099
\(342\) 11.7744 + 5.68891i 0.636686 + 0.307621i
\(343\) −13.8272 −0.746600
\(344\) 5.13659 8.89683i 0.276946 0.479685i
\(345\) −0.0465371 0.618146i −0.00250547 0.0332799i
\(346\) 11.2154 + 19.4256i 0.602943 + 1.04433i
\(347\) −2.06156 1.19024i −0.110671 0.0638957i 0.443643 0.896204i \(-0.353686\pi\)
−0.554314 + 0.832308i \(0.687019\pi\)
\(348\) 11.3588 + 5.46531i 0.608896 + 0.292971i
\(349\) −21.3877 −1.14486 −0.572429 0.819954i \(-0.693999\pi\)
−0.572429 + 0.819954i \(0.693999\pi\)
\(350\) −4.16200 −0.222468
\(351\) 24.0505 + 25.8668i 1.28372 + 1.38067i
\(352\) −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
\(357\) 5.63185 11.7049i 0.298069 0.619490i
\(358\) 7.11444 12.3226i 0.376010 0.651268i
\(359\) −18.8394 10.8769i −0.994305 0.574063i −0.0877470 0.996143i \(-0.527967\pi\)
−0.906558 + 0.422080i \(0.861300\pi\)
\(360\) 2.79337 + 1.09411i 0.147224 + 0.0576644i
\(361\) −18.7765 2.90591i −0.988235 0.152942i
\(362\) 0.0364693i 0.00191679i
\(363\) 0.286271 + 3.80251i 0.0150254 + 0.199580i
\(364\) −24.5005 14.1454i −1.28417 0.741418i
\(365\) 11.5074 6.64377i 0.602322 0.347751i
\(366\) 0.491171 + 6.52416i 0.0256739 + 0.341023i
\(367\) 6.28744 + 10.8902i 0.328202 + 0.568462i 0.982155 0.188073i \(-0.0602241\pi\)
−0.653953 + 0.756535i \(0.726891\pi\)
\(368\) 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 \(-0.838159\pi\)
0.873505 0.486815i \(-0.161841\pi\)
\(374\) 2.67237 + 4.62868i 0.138185 + 0.239343i
\(375\) −1.72716 + 0.130029i −0.0891903 + 0.00671468i
\(376\) 4.46767 2.57941i 0.230403 0.133023i
\(377\) −42.8413 24.7345i −2.20644 1.27389i
\(378\) 20.6721 + 6.35320i 1.06326 + 0.326774i
\(379\) 25.0289i 1.28565i 0.766014 + 0.642824i \(0.222237\pi\)
−0.766014 + 0.642824i \(0.777763\pi\)
\(380\) −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 \(-0.875967\pi\)
0.791500 + 0.611169i \(0.209301\pi\)
\(384\) 1.56078 + 0.750973i 0.0796483 + 0.0383229i
\(385\) 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 \(-0.877064\pi\)
−0.136951 + 0.990578i \(0.543730\pi\)
\(390\) −10.6092 5.10465i −0.537219 0.258484i
\(391\) −0.644885 −0.0326132
\(392\) −10.3223 −0.521353
\(393\) 10.1604 21.1168i 0.512523 1.06520i
\(394\) 19.7095 + 11.3793i 0.992953 + 0.573282i
\(395\) 0.638217 + 1.10542i 0.0321122 + 0.0556199i
\(396\) −6.95342 + 5.55298i −0.349423 + 0.279048i
\(397\) 12.7295 22.0482i 0.638877 1.10657i −0.346803 0.937938i \(-0.612733\pi\)
0.985680 0.168629i \(-0.0539341\pi\)
\(398\) 4.68284 0.234730
\(399\) −31.4224 0.0511995i −1.57309 0.00256318i
\(400\) −1.00000 −0.0500000
\(401\) 17.9661 31.1182i 0.897184 1.55397i 0.0661050 0.997813i \(-0.478943\pi\)
0.831079 0.556155i \(-0.187724\pi\)
\(402\) 1.83942 0.138480i 0.0917417 0.00690676i
\(403\) −12.1260 21.0028i −0.604037 1.04622i
\(404\) −3.25224 1.87768i −0.161805 0.0934182i
\(405\) 8.77709 + 1.99064i 0.436137 + 0.0989156i
\(406\) −30.2896 −1.50325
\(407\) 18.2308 0.903665
\(408\) 1.35316 2.81233i 0.0669913 0.139231i
\(409\) −1.54476 + 0.891867i −0.0763834 + 0.0441000i −0.537705 0.843133i \(-0.680709\pi\)
0.461322 + 0.887233i \(0.347375\pi\)
\(410\) 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
\(414\) −0.160754 1.06159i −0.00790064 0.0521742i
\(415\) 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 \(0.653733\pi\)
\(420\) −7.18845 + 0.541182i −0.350761 + 0.0264070i
\(421\) 4.43149 + 2.55852i 0.215977 + 0.124695i 0.604086 0.796919i \(-0.293538\pi\)
−0.388109 + 0.921614i \(0.626872\pi\)
\(422\) −6.72063 + 3.88016i −0.327155 + 0.188883i
\(423\) 12.0934 9.65773i 0.588000 0.469575i
\(424\) −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 \(-0.217730\pi\)
−0.934772 + 0.355248i \(0.884396\pi\)
\(432\) 4.96688 + 1.52648i 0.238969 + 0.0734427i
\(433\) −5.22804 + 3.01841i −0.251244 + 0.145056i −0.620334 0.784338i \(-0.713003\pi\)
0.369090 + 0.929394i \(0.379669\pi\)
\(434\) −12.8599 7.42466i −0.617295 0.356395i
\(435\) −12.5697 + 0.946306i −0.602670 + 0.0453719i
\(436\) 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 0.732561 0.680702i \(-0.238325\pi\)
−0.223225 + 0.974767i \(0.571658\pi\)
\(440\) 1.48311 2.56881i 0.0707043 0.122463i
\(441\) −30.6177 + 4.63638i −1.45799 + 0.220780i
\(442\) −6.12401 + 10.6071i −0.291290 + 0.504528i
\(443\) 6.05385 3.49519i 0.287627 0.166062i −0.349244 0.937032i \(-0.613562\pi\)
0.636871 + 0.770970i \(0.280228\pi\)
\(444\) −5.99980 8.79361i −0.284738 0.417326i
\(445\) 5.89635i 0.279514i
\(446\) 23.7955 13.7383i 1.12675 0.650529i
\(447\) −5.40619 + 11.2359i −0.255704 + 0.531441i
\(448\) −4.16200 −0.196636
\(449\) 31.4802 1.48564 0.742820 0.669491i \(-0.233488\pi\)
0.742820 + 0.669491i \(0.233488\pi\)
\(450\) −2.96618 + 0.449163i −0.139827 + 0.0211738i
\(451\) 19.6022 + 11.3173i 0.923030 + 0.532912i
\(452\) −1.57384 2.72597i −0.0740273 0.128219i
\(453\) 19.2190 1.44690i 0.902988 0.0679813i
\(454\) 12.9280 22.3919i 0.606739 1.05090i
\(455\) 28.2907 1.32629
\(456\) −7.54982 0.0123016i −0.353553 0.000576077i
\(457\) −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
\(459\) 2.75052 8.94968i 0.128383 0.417735i
\(460\) 0.178948 + 0.309948i 0.00834352 + 0.0144514i
\(461\) −12.9506 7.47702i −0.603169 0.348240i 0.167118 0.985937i \(-0.446554\pi\)
−0.770287 + 0.637697i \(0.779887\pi\)
\(462\) 9.27104 19.2684i 0.431328 0.896449i
\(463\) −16.7492 −0.778401 −0.389200 0.921153i \(-0.627249\pi\)
−0.389200 + 0.921153i \(0.627249\pi\)
\(464\) −7.27764 −0.337856
\(465\) −5.56861 2.67935i −0.258238 0.124252i
\(466\) −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
\(471\) −33.5144 16.1255i −1.54426 0.743025i
\(472\) 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
\(477\) −6.56782 8.22420i −0.300720 0.376560i
\(478\) 20.7353 + 11.9715i 0.948410 + 0.547565i
\(479\) −24.3132 + 14.0372i −1.11090 + 0.641377i −0.939062 0.343748i \(-0.888303\pi\)
−0.171836 + 0.985126i \(0.554970\pi\)
\(480\) −1.72716 + 0.130029i −0.0788338 + 0.00593500i
\(481\) 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 \(-0.988076\pi\)
0.999298 0.0374529i \(-0.0119244\pi\)
\(488\) −1.88869 3.27131i −0.0854971 0.148085i
\(489\) −2.52747 33.5721i −0.114296 1.51818i
\(490\) 8.93933 5.16113i 0.403838 0.233156i
\(491\) −1.30505 0.753470i −0.0588960 0.0340036i 0.470263 0.882526i \(-0.344159\pi\)
−0.529159 + 0.848523i \(0.677492\pi\)
\(492\) −0.992230 13.1797i −0.0447332 0.594186i
\(493\) 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
\(498\) 1.45221 3.01819i 0.0650749 0.135248i
\(499\) 10.7116 18.5530i 0.479517 0.830549i −0.520207 0.854040i \(-0.674145\pi\)
0.999724 + 0.0234919i \(0.00747840\pi\)
\(500\) 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 \(-0.576707\pi\)
0.721672 + 0.692235i \(0.243374\pi\)
\(504\) −12.3453 + 1.86942i −0.549902 + 0.0832705i
\(505\) 3.75536 0.167111
\(506\) −1.06160 −0.0471938
\(507\) 51.8249 + 24.9356i 2.30162 + 1.10743i
\(508\) 6.05360 + 3.49505i 0.268585 + 0.155068i
\(509\) −12.4948 21.6415i −0.553820 0.959245i −0.997994 0.0633042i \(-0.979836\pi\)
0.444174 0.895941i \(-0.353497\pi\)
\(510\) 0.234296 + 3.11213i 0.0103748 + 0.137807i
\(511\) −27.6514 + 47.8936i −1.22323 + 2.11869i
\(512\) −1.00000 −0.0441942
\(513\) −22.3997 + 3.35462i −0.988971 + 0.148110i
\(514\) 26.6400 1.17504
\(515\) −1.28621 + 2.22778i −0.0566771 + 0.0981677i
\(516\) 1.33581 + 17.7434i 0.0588059 + 0.781112i
\(517\) −7.65108 13.2521i −0.336494 0.582825i
\(518\) 22.1531 + 12.7901i 0.973353 + 0.561966i
\(519\) −35.0095 16.8449i −1.53675 0.739409i
\(520\) 6.79738 0.298085
\(521\) −28.9838 −1.26980 −0.634902 0.772593i \(-0.718959\pi\)
−0.634902 + 0.772593i \(0.718959\pi\)
\(522\) −21.5868 + 3.26885i −0.944830 + 0.143074i
\(523\) 36.7094 21.1942i 1.60519 0.926756i 0.614763 0.788712i \(-0.289252\pi\)
0.990426 0.138044i \(-0.0440816\pi\)
\(524\) 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
\(528\) 2.22754 4.62961i 0.0969414 0.201478i
\(529\) −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
\(534\) 0.766699 + 10.1840i 0.0331783 + 0.440703i
\(535\) −10.2880 5.93976i −0.444787 0.256798i
\(536\) −0.922310 + 0.532496i −0.0398377 + 0.0230003i
\(537\) 1.85017 + 24.5756i 0.0798408 + 1.06052i
\(538\) 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 0.983388 0.181513i \(-0.0580996\pi\)
−0.648890 + 0.760883i \(0.724766\pi\)
\(542\) −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
\(546\) 48.8627 3.67862i 2.09113 0.157430i
\(547\) 34.8985 20.1487i 1.49215 0.861495i 0.492194 0.870486i \(-0.336195\pi\)
0.999960 + 0.00899064i \(0.00286185\pi\)
\(548\) −10.6066 6.12370i −0.453090 0.261592i
\(549\) −7.07157 8.85499i −0.301807 0.377922i
\(550\) 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
\(555\) 9.59279 + 4.61559i 0.407191 + 0.195921i
\(556\) 5.90898 10.2347i 0.250597 0.434046i
\(557\) 9.13519 5.27420i 0.387070 0.223475i −0.293820 0.955861i \(-0.594927\pi\)
0.680890 + 0.732386i \(0.261593\pi\)
\(558\) −9.96629 3.90358i −0.421907 0.165252i
\(559\) 69.8307i 2.95352i
\(560\) 3.60440 2.08100i 0.152314 0.0879383i
\(561\) −8.34197 4.01375i −0.352198 0.169461i
\(562\) 13.6990 0.577857
\(563\) 40.4508 1.70480 0.852399 0.522892i \(-0.175147\pi\)
0.852399 + 0.522892i \(0.175147\pi\)
\(564\) −3.87414 + 8.05180i −0.163131 + 0.339042i
\(565\) 2.72597 + 1.57384i 0.114683 + 0.0662120i
\(566\) −0.398146 0.689610i −0.0167353 0.0289864i
\(567\) −35.7787 + 11.0901i −1.50256 + 0.465740i
\(568\) 2.05789 3.56436i 0.0863470 0.149557i
\(569\) 34.8214 1.45979 0.729895 0.683559i \(-0.239569\pi\)
0.729895 + 0.683559i \(0.239569\pi\)
\(570\) 6.54449 3.76426i 0.274119 0.157667i
\(571\) 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
\(573\) 38.5403 2.90150i 1.61004 0.121212i
\(574\) 15.8797 + 27.5045i 0.662808 + 1.14802i
\(575\) −0.309948 0.178948i −0.0129257 0.00746267i
\(576\) −2.96618 + 0.449163i −0.123591 + 0.0187151i
\(577\) 27.5262 1.14593 0.572966 0.819579i \(-0.305793\pi\)
0.572966 + 0.819579i \(0.305793\pi\)
\(578\) −13.7533 −0.572060
\(579\) 9.98768 20.7579i 0.415074 0.862667i
\(580\) 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
\(585\) 20.1623 3.05314i 0.833608 0.126232i
\(586\) 11.8911 20.5960i 0.491218 0.850815i
\(587\) −8.13311 4.69565i −0.335689 0.193810i 0.322675 0.946510i \(-0.395418\pi\)
−0.658364 + 0.752700i \(0.728751\pi\)
\(588\) 14.7686 10.0765i 0.609046 0.415547i
\(589\) 15.5060 + 1.19278i 0.638914 + 0.0491476i
\(590\) 8.77151i 0.361117i
\(591\) −39.3079 + 2.95929i −1.61691 + 0.121729i
\(592\) 5.32272 + 3.07307i 0.218762 + 0.126302i
\(593\) −4.48680 + 2.59046i −0.184251 + 0.106377i −0.589288 0.807923i \(-0.700592\pi\)
0.405037 + 0.914300i \(0.367258\pi\)
\(594\) 4.52786 14.7328i 0.185780 0.604494i
\(595\) −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 \(-0.277568\pi\)
−0.984693 + 0.174298i \(0.944234\pi\)
\(600\) 1.43075 0.976190i 0.0584102 0.0398528i
\(601\) 34.8345i 1.42093i 0.703734 + 0.710464i \(0.251515\pi\)
−0.703734 + 0.710464i \(0.748485\pi\)
\(602\) −21.3785 37.0286i −0.871322 1.50917i
\(603\) −2.49657 + 1.99375i −0.101668 + 0.0811918i
\(604\) −9.63670 + 5.56375i −0.392112 + 0.226386i
\(605\) 1.90663 + 1.10080i 0.0775157 + 0.0447537i
\(606\) 6.48612 0.488307i 0.263481 0.0198361i
\(607\) 0.510275i 0.0207114i 0.999946 + 0.0103557i \(0.00329639\pi\)
−0.999946 + 0.0103557i \(0.996704\pi\)
\(608\) 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
\(612\) 0.809336 + 5.34469i 0.0327155 + 0.216046i
\(613\) −1.27998 + 2.21700i −0.0516980 + 0.0895436i −0.890716 0.454560i \(-0.849797\pi\)
0.839018 + 0.544103i \(0.183130\pi\)
\(614\) −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 \(-0.633266\pi\)
0.587956 + 0.808893i \(0.299933\pi\)
\(618\) −1.93182 + 4.01498i −0.0777090 + 0.161506i
\(619\) 0.708705 0.0284853 0.0142426 0.999899i \(-0.495466\pi\)
0.0142426 + 0.999899i \(0.495466\pi\)
\(620\) 3.56783 0.143288
\(621\) 1.26631 + 1.36194i 0.0508153 + 0.0546529i
\(622\) 16.8527 + 9.72990i 0.675731 + 0.390133i
\(623\) −12.2703 21.2528i −0.491600 0.851476i
\(624\) 11.7402 0.883859i 0.469984 0.0353827i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −14.0508 −0.561581
\(627\) −0.0364893 + 22.3944i −0.00145724 + 0.894345i
\(628\) 21.4728 0.856860
\(629\) 5.53729 9.59086i 0.220786 0.382413i
\(630\) 9.75660 7.79160i 0.388712 0.310425i
\(631\) −1.98291 3.43450i −0.0789383 0.136725i 0.823854 0.566802i \(-0.191820\pi\)
−0.902792 + 0.430077i \(0.858486\pi\)
\(632\) −1.10542 0.638217i −0.0439714 0.0253869i
\(633\) 5.82779 12.1122i 0.231634 0.481415i
\(634\) 13.1654 0.522866
\(635\) −6.99009 −0.277393
\(636\) 5.47569 + 2.63464i 0.217125 + 0.104470i
\(637\) −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 −0.466942 0.884288i \(-0.654644\pi\)
0.999287 0.0377601i \(-0.0120223\pi\)
\(642\) −18.5413 8.92120i −0.731768 0.352092i
\(643\) 19.5490 33.8598i 0.770936 1.33530i −0.166114 0.986107i \(-0.553122\pi\)
0.937050 0.349195i \(-0.113545\pi\)
\(644\) −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 \(-0.164219\pi\)
\(648\) −8.59650 + 2.66460i −0.337703 + 0.104676i
\(649\) −22.5324 13.0091i −0.884473 0.510651i
\(650\) −5.88671 + 3.39869i −0.230896 + 0.133308i
\(651\) 25.6472 1.93085i 1.00519 0.0756758i
\(652\) 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 \(-0.106453\pi\)
−0.756557 + 0.653928i \(0.773120\pi\)
\(660\) 0.385694 + 5.12313i 0.0150131 + 0.199418i
\(661\) 12.4152 7.16792i 0.482895 0.278800i −0.238727 0.971087i \(-0.576730\pi\)
0.721622 + 0.692287i \(0.243397\pi\)
\(662\) −3.81697 2.20373i −0.148351 0.0856503i
\(663\) −1.59260 21.1543i −0.0618515 0.821566i
\(664\) 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
\(669\) −20.6342 + 42.8851i −0.797766 + 1.65803i
\(670\) 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 \(-0.984196\pi\)
0.998768 0.0496293i \(-0.0158040\pi\)
\(674\) −4.81309 + 2.77884i −0.185393 + 0.107037i
\(675\) 3.80541 3.53820i 0.146470 0.136185i
\(676\) −33.2044 −1.27709
\(677\) −25.1278 −0.965739 −0.482870 0.875692i \(-0.660406\pi\)
−0.482870 + 0.875692i \(0.660406\pi\)
\(678\) 4.91284 + 2.36382i 0.188677 + 0.0907821i
\(679\) −46.8408 27.0435i −1.79758 1.03784i
\(680\) −0.900937 1.56047i −0.0345493 0.0598412i
\(681\) 3.36203 + 44.6574i 0.128833 + 1.71127i
\(682\) −5.29147 + 9.16510i −0.202621 + 0.350950i
\(683\) 17.1516 0.656289 0.328145 0.944627i \(-0.393577\pi\)
0.328145 + 0.944627i \(0.393577\pi\)
\(684\) 10.8139 7.35246i 0.413481 0.281128i
\(685\) 12.2474 0.467949
\(686\) −6.91361 + 11.9747i −0.263963 + 0.457197i
\(687\) 0.728892 + 9.68178i 0.0278090 + 0.369383i
\(688\) −5.13659 8.89683i −0.195831 0.339188i
\(689\) −20.6523 11.9236i −0.786792 0.454254i
\(690\) −0.558599 0.268771i −0.0212655 0.0102319i
\(691\) −19.5888 −0.745193 −0.372597 0.927993i \(-0.621532\pi\)
−0.372597 + 0.927993i \(0.621532\pi\)
\(692\) 22.4308 0.852690
\(693\) 5.54509 + 36.6187i 0.210641 + 1.39103i
\(694\) −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
\(699\) 19.6045 40.7450i 0.741512 1.54112i
\(700\) −2.08100 + 3.60440i −0.0786544 + 0.136233i
\(701\) 26.3609 + 15.2194i 0.995636 + 0.574831i 0.906954 0.421229i \(-0.138401\pi\)
0.0886817 + 0.996060i \(0.471735\pi\)
\(702\) 34.4266 7.89495i 1.29935 0.297976i
\(703\) −26.7115 2.05475i −1.00744 0.0774963i
\(704\) 2.96621i 0.111793i
\(705\) −0.670798 8.91013i −0.0252637 0.335575i
\(706\) 29.9848 + 17.3117i 1.12849 + 0.651536i
\(707\) −13.5358 + 7.81491i −0.509067 + 0.293910i
\(708\) 1.14055 + 15.1498i 0.0428646 + 0.569365i
\(709\) 4.75537 + 8.23654i 0.178592 + 0.309330i 0.941398 0.337297i \(-0.109513\pi\)
−0.762807 + 0.646626i \(0.776179\pi\)
\(710\) 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
\(717\) −41.3536 + 3.11330i −1.54438 + 0.116268i
\(718\) −18.8394 + 10.8769i −0.703080 + 0.405924i
\(719\) 34.4372 + 19.8823i 1.28429 + 0.741485i 0.977630 0.210334i \(-0.0674551\pi\)
0.306660 + 0.951819i \(0.400788\pi\)
\(720\) 2.34421 1.87208i 0.0873635 0.0697683i
\(721\) 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
\(726\) 3.43620 + 1.65334i 0.127530 + 0.0613611i
\(727\) 10.4980 18.1831i 0.389350 0.674374i −0.603012 0.797732i \(-0.706033\pi\)
0.992362 + 0.123358i \(0.0393664\pi\)
\(728\) −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
\(732\) 5.89568 + 2.83672i 0.217910 + 0.104848i
\(733\) 9.50251 0.350983 0.175492 0.984481i \(-0.443849\pi\)
0.175492 + 0.984481i \(0.443849\pi\)
\(734\) 12.5749 0.464147
\(735\) −7.75173 + 16.1108i −0.285927 + 0.594255i
\(736\) −0.309948 0.178948i −0.0114248 0.00659613i
\(737\) 1.57950 + 2.73577i 0.0581815 + 0.100773i
\(738\) 14.2855 + 17.8882i 0.525857 + 0.658476i
\(739\) −14.5149 + 25.1405i −0.533939 + 0.924809i 0.465275 + 0.885166i \(0.345955\pi\)
−0.999214 + 0.0396431i \(0.987378\pi\)
\(740\) −6.14614 −0.225937
\(741\) −44.4854 + 25.5871i −1.63421 + 0.939966i
\(742\) −14.6016 −0.536040
\(743\) 4.08693 7.07877i 0.149935 0.259695i −0.781268 0.624195i \(-0.785427\pi\)
0.931203 + 0.364500i \(0.118760\pi\)
\(744\) 6.16223 0.463923i 0.225918 0.0170082i
\(745\) 3.59946 + 6.23444i 0.131874 + 0.228412i
\(746\) −16.2847 9.40195i −0.596224 0.344230i
\(747\) 0.868577 + 5.73591i 0.0317796 + 0.209866i
\(748\) 5.34474 0.195423
\(749\) 49.4426 1.80659
\(750\) −0.750973 + 1.56078i −0.0274217 + 0.0569917i
\(751\) 0.510899 0.294967i 0.0186430 0.0107635i −0.490650 0.871357i \(-0.663240\pi\)
0.509293 + 0.860593i \(0.329907\pi\)
\(752\) 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
\(756\) 15.8381 14.7260i 0.576026 0.535580i
\(757\) −1.45489 + 2.51995i −0.0528791 + 0.0915892i −0.891253 0.453506i \(-0.850173\pi\)
0.838374 + 0.545095i \(0.183506\pi\)
\(758\) 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 \(-0.187044\pi\)
\(762\) −12.0730 + 0.908916i −0.437360 + 0.0329266i
\(763\) 46.4032 + 26.7909i 1.67991 + 0.969896i
\(764\) −19.3247 + 11.1571i −0.699142 + 0.403650i
\(765\) −3.37325 4.22397i −0.121960 0.152718i
\(766\) 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 0.997828 0.0658703i \(-0.0209824\pi\)
−0.555959 + 0.831209i \(0.687649\pi\)
\(770\) −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 0.981438 + 0.191780i \(0.0614261\pi\)
−0.324632 + 0.945840i \(0.605241\pi\)
\(774\) −19.2322 24.0825i −0.691287 0.865626i
\(775\) −3.08983 + 1.78392i −0.110990 + 0.0640802i