Properties

Label 570.2.s.b.221.1
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 221.1
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.b.521.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.71401 - 0.249340i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.641070 - 1.60905i) q^{6} -2.43208 q^{7} -1.00000 q^{8} +(2.87566 + 0.854742i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.71401 - 0.249340i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.641070 - 1.60905i) q^{6} -2.43208 q^{7} -1.00000 q^{8} +(2.87566 + 0.854742i) q^{9} +(0.866025 + 0.500000i) q^{10} +2.32454i q^{11} +(1.07294 - 1.35971i) q^{12} +(-0.190454 - 0.109959i) q^{13} +(-1.21604 - 2.10624i) q^{14} +(-1.60905 + 0.641070i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-4.43932 + 2.56304i) q^{17} +(0.697602 + 2.91776i) q^{18} +(-3.94445 - 1.85508i) q^{19} +1.00000i q^{20} +(4.16860 + 0.606413i) q^{21} +(-2.01311 + 1.16227i) q^{22} +(-7.51400 - 4.33821i) q^{23} +(1.71401 + 0.249340i) q^{24} +(0.500000 - 0.866025i) q^{25} -0.219917i q^{26} +(-4.71579 - 2.18205i) q^{27} +(1.21604 - 2.10624i) q^{28} +(-3.98772 + 6.90694i) q^{29} +(-1.35971 - 1.07294i) q^{30} -4.02893i q^{31} +(0.500000 - 0.866025i) q^{32} +(0.579599 - 3.98428i) q^{33} +(-4.43932 - 2.56304i) q^{34} +(-2.10624 + 1.21604i) q^{35} +(-2.17806 + 2.06302i) q^{36} +1.28133i q^{37} +(-0.365675 - 4.34353i) q^{38} +(0.299023 + 0.235958i) q^{39} +(-0.866025 + 0.500000i) q^{40} +(1.19057 + 2.06213i) q^{41} +(1.55913 + 3.91332i) q^{42} +(-0.705429 - 1.22184i) q^{43} +(-2.01311 - 1.16227i) q^{44} +(2.91776 - 0.697602i) q^{45} -8.67642i q^{46} +(4.74957 + 2.74216i) q^{47} +(0.641070 + 1.60905i) q^{48} -1.08501 q^{49} +1.00000 q^{50} +(8.24811 - 3.28618i) q^{51} +(0.190454 - 0.109959i) q^{52} +(-2.04507 + 3.54217i) q^{53} +(-0.468182 - 5.17502i) q^{54} +(1.16227 + 2.01311i) q^{55} +2.43208 q^{56} +(6.29828 + 4.16314i) q^{57} -7.97545 q^{58} +(-0.478076 - 0.828051i) q^{59} +(0.249340 - 1.71401i) q^{60} +(4.12504 - 7.14478i) q^{61} +(3.48915 - 2.01446i) q^{62} +(-6.99382 - 2.07880i) q^{63} +1.00000 q^{64} -0.219917 q^{65} +(3.74029 - 1.49019i) q^{66} +(-6.63960 - 3.83338i) q^{67} -5.12609i q^{68} +(11.7974 + 9.30928i) q^{69} +(-2.10624 - 1.21604i) q^{70} +(5.05616 + 8.75753i) q^{71} +(-2.87566 - 0.854742i) q^{72} +(-1.78502 - 3.09174i) q^{73} +(-1.10967 + 0.640666i) q^{74} +(-1.07294 + 1.35971i) q^{75} +(3.57877 - 2.48845i) q^{76} -5.65345i q^{77} +(-0.0548341 + 0.376940i) q^{78} +(-13.0596 + 7.53998i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(7.53883 + 4.91589i) q^{81} +(-1.19057 + 2.06213i) q^{82} +4.36047i q^{83} +(-2.60947 + 3.30691i) q^{84} +(-2.56304 + 4.43932i) q^{85} +(0.705429 - 1.22184i) q^{86} +(8.55717 - 10.8443i) q^{87} -2.32454i q^{88} +(-2.03041 + 3.51677i) q^{89} +(2.06302 + 2.17806i) q^{90} +(0.463199 + 0.267428i) q^{91} +(7.51400 - 4.33821i) q^{92} +(-1.00457 + 6.90562i) q^{93} +5.48433i q^{94} +(-4.34353 + 0.365675i) q^{95} +(-1.07294 + 1.35971i) q^{96} +(6.10768 - 3.52627i) q^{97} +(-0.542503 - 0.939644i) q^{98} +(-1.98688 + 6.68457i) 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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

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

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
\(3\) −1.71401 0.249340i −0.989584 0.143956i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −0.641070 1.60905i −0.261716 0.656890i
\(7\) −2.43208 −0.919238 −0.459619 0.888116i \(-0.652014\pi\)
−0.459619 + 0.888116i \(0.652014\pi\)
\(8\) −1.00000 −0.353553
\(9\) 2.87566 + 0.854742i 0.958553 + 0.284914i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 2.32454i 0.700874i 0.936586 + 0.350437i \(0.113967\pi\)
−0.936586 + 0.350437i \(0.886033\pi\)
\(12\) 1.07294 1.35971i 0.309731 0.392513i
\(13\) −0.190454 0.109959i −0.0528224 0.0304970i 0.473356 0.880871i \(-0.343042\pi\)
−0.526179 + 0.850374i \(0.676376\pi\)
\(14\) −1.21604 2.10624i −0.325000 0.562916i
\(15\) −1.60905 + 0.641070i −0.415454 + 0.165524i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −4.43932 + 2.56304i −1.07669 + 0.621629i −0.930002 0.367553i \(-0.880196\pi\)
−0.146691 + 0.989182i \(0.546862\pi\)
\(18\) 0.697602 + 2.91776i 0.164426 + 0.687724i
\(19\) −3.94445 1.85508i −0.904918 0.425585i
\(20\) 1.00000i 0.223607i
\(21\) 4.16860 + 0.606413i 0.909664 + 0.132330i
\(22\) −2.01311 + 1.16227i −0.429196 + 0.247796i
\(23\) −7.51400 4.33821i −1.56678 0.904580i −0.996541 0.0830996i \(-0.973518\pi\)
−0.570237 0.821480i \(-0.693149\pi\)
\(24\) 1.71401 + 0.249340i 0.349871 + 0.0508963i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.219917i 0.0431293i
\(27\) −4.71579 2.18205i −0.907554 0.419936i
\(28\) 1.21604 2.10624i 0.229810 0.398042i
\(29\) −3.98772 + 6.90694i −0.740502 + 1.28259i 0.211765 + 0.977321i \(0.432079\pi\)
−0.952267 + 0.305266i \(0.901255\pi\)
\(30\) −1.35971 1.07294i −0.248247 0.195891i
\(31\) 4.02893i 0.723616i −0.932253 0.361808i \(-0.882160\pi\)
0.932253 0.361808i \(-0.117840\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 0.579599 3.98428i 0.100895 0.693574i
\(34\) −4.43932 2.56304i −0.761337 0.439558i
\(35\) −2.10624 + 1.21604i −0.356019 + 0.205548i
\(36\) −2.17806 + 2.06302i −0.363010 + 0.343837i
\(37\) 1.28133i 0.210650i 0.994438 + 0.105325i \(0.0335883\pi\)
−0.994438 + 0.105325i \(0.966412\pi\)
\(38\) −0.365675 4.34353i −0.0593203 0.704614i
\(39\) 0.299023 + 0.235958i 0.0478820 + 0.0377835i
\(40\) −0.866025 + 0.500000i −0.136931 + 0.0790569i
\(41\) 1.19057 + 2.06213i 0.185936 + 0.322050i 0.943891 0.330256i \(-0.107135\pi\)
−0.757956 + 0.652306i \(0.773802\pi\)
\(42\) 1.55913 + 3.91332i 0.240579 + 0.603839i
\(43\) −0.705429 1.22184i −0.107577 0.186329i 0.807211 0.590263i \(-0.200976\pi\)
−0.914788 + 0.403934i \(0.867643\pi\)
\(44\) −2.01311 1.16227i −0.303487 0.175218i
\(45\) 2.91776 0.697602i 0.434955 0.103992i
\(46\) 8.67642i 1.27927i
\(47\) 4.74957 + 2.74216i 0.692795 + 0.399986i 0.804658 0.593738i \(-0.202348\pi\)
−0.111863 + 0.993724i \(0.535682\pi\)
\(48\) 0.641070 + 1.60905i 0.0925305 + 0.232246i
\(49\) −1.08501 −0.155001
\(50\) 1.00000 0.141421
\(51\) 8.24811 3.28618i 1.15497 0.460157i
\(52\) 0.190454 0.109959i 0.0264112 0.0152485i
\(53\) −2.04507 + 3.54217i −0.280912 + 0.486555i −0.971610 0.236589i \(-0.923970\pi\)
0.690697 + 0.723144i \(0.257304\pi\)
\(54\) −0.468182 5.17502i −0.0637114 0.704231i
\(55\) 1.16227 + 2.01311i 0.156720 + 0.271447i
\(56\) 2.43208 0.325000
\(57\) 6.29828 + 4.16314i 0.834227 + 0.551421i
\(58\) −7.97545 −1.04723
\(59\) −0.478076 0.828051i −0.0622402 0.107803i 0.833226 0.552932i \(-0.186491\pi\)
−0.895466 + 0.445129i \(0.853158\pi\)
\(60\) 0.249340 1.71401i 0.0321896 0.221278i
\(61\) 4.12504 7.14478i 0.528158 0.914796i −0.471304 0.881971i \(-0.656216\pi\)
0.999461 0.0328247i \(-0.0104503\pi\)
\(62\) 3.48915 2.01446i 0.443123 0.255837i
\(63\) −6.99382 2.07880i −0.881139 0.261904i
\(64\) 1.00000 0.125000
\(65\) −0.219917 −0.0272774
\(66\) 3.74029 1.49019i 0.460397 0.183430i
\(67\) −6.63960 3.83338i −0.811157 0.468322i 0.0362006 0.999345i \(-0.488474\pi\)
−0.847357 + 0.531023i \(0.821808\pi\)
\(68\) 5.12609i 0.621629i
\(69\) 11.7974 + 9.30928i 1.42024 + 1.12071i
\(70\) −2.10624 1.21604i −0.251744 0.145344i
\(71\) 5.05616 + 8.75753i 0.600056 + 1.03933i 0.992812 + 0.119685i \(0.0381885\pi\)
−0.392756 + 0.919643i \(0.628478\pi\)
\(72\) −2.87566 0.854742i −0.338900 0.100732i
\(73\) −1.78502 3.09174i −0.208921 0.361861i 0.742454 0.669897i \(-0.233662\pi\)
−0.951375 + 0.308036i \(0.900328\pi\)
\(74\) −1.10967 + 0.640666i −0.128996 + 0.0744760i
\(75\) −1.07294 + 1.35971i −0.123892 + 0.157005i
\(76\) 3.57877 2.48845i 0.410513 0.285445i
\(77\) 5.65345i 0.644270i
\(78\) −0.0548341 + 0.376940i −0.00620874 + 0.0426801i
\(79\) −13.0596 + 7.53998i −1.46932 + 0.848313i −0.999408 0.0343988i \(-0.989048\pi\)
−0.469914 + 0.882712i \(0.655715\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) 7.53883 + 4.91589i 0.837648 + 0.546210i
\(82\) −1.19057 + 2.06213i −0.131476 + 0.227724i
\(83\) 4.36047i 0.478623i 0.970943 + 0.239312i \(0.0769218\pi\)
−0.970943 + 0.239312i \(0.923078\pi\)
\(84\) −2.60947 + 3.30691i −0.284717 + 0.360813i
\(85\) −2.56304 + 4.43932i −0.278001 + 0.481512i
\(86\) 0.705429 1.22184i 0.0760684 0.131754i
\(87\) 8.55717 10.8443i 0.917425 1.16263i
\(88\) 2.32454i 0.247796i
\(89\) −2.03041 + 3.51677i −0.215223 + 0.372776i −0.953341 0.301894i \(-0.902381\pi\)
0.738119 + 0.674671i \(0.235714\pi\)
\(90\) 2.06302 + 2.17806i 0.217462 + 0.229587i
\(91\) 0.463199 + 0.267428i 0.0485564 + 0.0280341i
\(92\) 7.51400 4.33821i 0.783389 0.452290i
\(93\) −1.00457 + 6.90562i −0.104169 + 0.716079i
\(94\) 5.48433i 0.565665i
\(95\) −4.34353 + 0.365675i −0.445637 + 0.0375175i
\(96\) −1.07294 + 1.35971i −0.109506 + 0.138774i
\(97\) 6.10768 3.52627i 0.620141 0.358038i −0.156783 0.987633i \(-0.550112\pi\)
0.776924 + 0.629595i \(0.216779\pi\)
\(98\) −0.542503 0.939644i −0.0548011 0.0949183i
\(99\) −1.98688 + 6.68457i −0.199689 + 0.671825i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 10.2389 + 5.91143i 1.01881 + 0.588209i 0.913759 0.406258i \(-0.133166\pi\)
0.105050 + 0.994467i \(0.466500\pi\)
\(102\) 6.96997 + 5.49998i 0.690130 + 0.544579i
\(103\) 17.5769i 1.73190i 0.500130 + 0.865950i \(0.333286\pi\)
−0.500130 + 0.865950i \(0.666714\pi\)
\(104\) 0.190454 + 0.109959i 0.0186756 + 0.0107823i
\(105\) 3.91332 1.55913i 0.381901 0.152156i
\(106\) −4.09015 −0.397270
\(107\) 2.80439 0.271111 0.135555 0.990770i \(-0.456718\pi\)
0.135555 + 0.990770i \(0.456718\pi\)
\(108\) 4.24761 2.99297i 0.408726 0.287998i
\(109\) 13.8072 7.97161i 1.32249 0.763542i 0.338368 0.941014i \(-0.390125\pi\)
0.984126 + 0.177472i \(0.0567919\pi\)
\(110\) −1.16227 + 2.01311i −0.110818 + 0.191942i
\(111\) 0.319487 2.19622i 0.0303244 0.208456i
\(112\) 1.21604 + 2.10624i 0.114905 + 0.199021i
\(113\) 12.1749 1.14532 0.572659 0.819794i \(-0.305912\pi\)
0.572659 + 0.819794i \(0.305912\pi\)
\(114\) −0.456245 + 7.53604i −0.0427313 + 0.705814i
\(115\) −8.67642 −0.809081
\(116\) −3.98772 6.90694i −0.370251 0.641293i
\(117\) −0.453695 0.478993i −0.0419441 0.0442829i
\(118\) 0.478076 0.828051i 0.0440104 0.0762283i
\(119\) 10.7968 6.23351i 0.989738 0.571425i
\(120\) 1.60905 0.641070i 0.146885 0.0585214i
\(121\) 5.59653 0.508776
\(122\) 8.25009 0.746928
\(123\) −1.52648 3.83136i −0.137638 0.345462i
\(124\) 3.48915 + 2.01446i 0.313335 + 0.180904i
\(125\) 1.00000i 0.0894427i
\(126\) −1.69662 7.09623i −0.151147 0.632182i
\(127\) 2.43948 + 1.40844i 0.216469 + 0.124979i 0.604314 0.796746i \(-0.293447\pi\)
−0.387845 + 0.921725i \(0.626780\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 0.904459 + 2.27014i 0.0796332 + 0.199874i
\(130\) −0.109959 0.190454i −0.00964401 0.0167039i
\(131\) 7.22873 4.17351i 0.631577 0.364641i −0.149785 0.988719i \(-0.547858\pi\)
0.781363 + 0.624077i \(0.214525\pi\)
\(132\) 3.16069 + 2.49409i 0.275102 + 0.217082i
\(133\) 9.59320 + 4.51170i 0.831836 + 0.391214i
\(134\) 7.66675i 0.662307i
\(135\) −5.17502 + 0.468182i −0.445395 + 0.0402947i
\(136\) 4.43932 2.56304i 0.380669 0.219779i
\(137\) −12.6626 7.31076i −1.08184 0.624600i −0.150448 0.988618i \(-0.548071\pi\)
−0.931392 + 0.364018i \(0.881405\pi\)
\(138\) −2.16338 + 14.8715i −0.184159 + 1.26594i
\(139\) 5.51342 9.54952i 0.467642 0.809979i −0.531675 0.846949i \(-0.678437\pi\)
0.999316 + 0.0369693i \(0.0117704\pi\)
\(140\) 2.43208i 0.205548i
\(141\) −7.45707 5.88435i −0.627999 0.495552i
\(142\) −5.05616 + 8.75753i −0.424304 + 0.734916i
\(143\) 0.255603 0.442717i 0.0213746 0.0370219i
\(144\) −0.697602 2.91776i −0.0581335 0.243147i
\(145\) 7.97545i 0.662325i
\(146\) 1.78502 3.09174i 0.147729 0.255874i
\(147\) 1.85971 + 0.270535i 0.153387 + 0.0223134i
\(148\) −1.10967 0.640666i −0.0912141 0.0526625i
\(149\) −18.2772 + 10.5523i −1.49732 + 0.864480i −0.999995 0.00308349i \(-0.999018\pi\)
−0.497327 + 0.867563i \(0.665685\pi\)
\(150\) −1.71401 0.249340i −0.139948 0.0203585i
\(151\) 24.2149i 1.97058i 0.170899 + 0.985289i \(0.445333\pi\)
−0.170899 + 0.985289i \(0.554667\pi\)
\(152\) 3.94445 + 1.85508i 0.319937 + 0.150467i
\(153\) −14.9567 + 3.57597i −1.20918 + 0.289100i
\(154\) 4.89603 2.82672i 0.394533 0.227784i
\(155\) −2.01446 3.48915i −0.161806 0.280255i
\(156\) −0.353857 + 0.140982i −0.0283312 + 0.0112876i
\(157\) −6.46343 11.1950i −0.515837 0.893457i −0.999831 0.0183851i \(-0.994147\pi\)
0.483993 0.875072i \(-0.339186\pi\)
\(158\) −13.0596 7.53998i −1.03897 0.599848i
\(159\) 4.38848 5.56140i 0.348029 0.441048i
\(160\) 1.00000i 0.0790569i
\(161\) 18.2746 + 10.5509i 1.44024 + 0.831524i
\(162\) −0.487870 + 8.98677i −0.0383307 + 0.706067i
\(163\) 13.6212 1.06690 0.533449 0.845832i \(-0.320896\pi\)
0.533449 + 0.845832i \(0.320896\pi\)
\(164\) −2.38114 −0.185936
\(165\) −1.49019 3.74029i −0.116011 0.291181i
\(166\) −3.77627 + 2.18023i −0.293096 + 0.169219i
\(167\) −5.43020 + 9.40538i −0.420202 + 0.727810i −0.995959 0.0898102i \(-0.971374\pi\)
0.575757 + 0.817621i \(0.304707\pi\)
\(168\) −4.16860 0.606413i −0.321615 0.0467858i
\(169\) −6.47582 11.2164i −0.498140 0.862804i
\(170\) −5.12609 −0.393153
\(171\) −9.75727 8.70607i −0.746157 0.665770i
\(172\) 1.41086 0.107577
\(173\) −6.04765 10.4748i −0.459794 0.796387i 0.539156 0.842206i \(-0.318743\pi\)
−0.998950 + 0.0458193i \(0.985410\pi\)
\(174\) 13.6700 + 1.98860i 1.03632 + 0.150755i
\(175\) −1.21604 + 2.10624i −0.0919238 + 0.159217i
\(176\) 2.01311 1.16227i 0.151744 0.0876092i
\(177\) 0.612960 + 1.53849i 0.0460729 + 0.115640i
\(178\) −4.06081 −0.304371
\(179\) −9.17378 −0.685681 −0.342840 0.939394i \(-0.611389\pi\)
−0.342840 + 0.939394i \(0.611389\pi\)
\(180\) −0.854742 + 2.87566i −0.0637087 + 0.214339i
\(181\) −8.37372 4.83457i −0.622414 0.359351i 0.155395 0.987852i \(-0.450335\pi\)
−0.777808 + 0.628502i \(0.783668\pi\)
\(182\) 0.534856i 0.0396461i
\(183\) −8.85184 + 11.2177i −0.654347 + 0.829236i
\(184\) 7.51400 + 4.33821i 0.553940 + 0.319817i
\(185\) 0.640666 + 1.10967i 0.0471027 + 0.0815843i
\(186\) −6.48273 + 2.58282i −0.475337 + 0.189382i
\(187\) −5.95789 10.3194i −0.435684 0.754626i
\(188\) −4.74957 + 2.74216i −0.346398 + 0.199993i
\(189\) 11.4692 + 5.30692i 0.834258 + 0.386021i
\(190\) −2.48845 3.57877i −0.180531 0.259631i
\(191\) 18.7213i 1.35463i −0.735695 0.677313i \(-0.763144\pi\)
0.735695 0.677313i \(-0.236856\pi\)
\(192\) −1.71401 0.249340i −0.123698 0.0179945i
\(193\) −21.1958 + 12.2374i −1.52571 + 0.880867i −0.526171 + 0.850379i \(0.676373\pi\)
−0.999535 + 0.0304886i \(0.990294\pi\)
\(194\) 6.10768 + 3.52627i 0.438506 + 0.253171i
\(195\) 0.376940 + 0.0548341i 0.0269933 + 0.00392675i
\(196\) 0.542503 0.939644i 0.0387502 0.0671174i
\(197\) 4.97845i 0.354700i 0.984148 + 0.177350i \(0.0567524\pi\)
−0.984148 + 0.177350i \(0.943248\pi\)
\(198\) −6.78245 + 1.62160i −0.482008 + 0.115242i
\(199\) 9.08451 15.7348i 0.643984 1.11541i −0.340551 0.940226i \(-0.610614\pi\)
0.984535 0.175187i \(-0.0560530\pi\)
\(200\) −0.500000 + 0.866025i −0.0353553 + 0.0612372i
\(201\) 10.4245 + 8.22596i 0.735290 + 0.580215i
\(202\) 11.8229i 0.831854i
\(203\) 9.69845 16.7982i 0.680698 1.17900i
\(204\) −1.27814 + 8.78616i −0.0894875 + 0.615154i
\(205\) 2.06213 + 1.19057i 0.144025 + 0.0831529i
\(206\) −15.2220 + 8.78844i −1.06057 + 0.612319i
\(207\) −17.8997 18.8978i −1.24411 1.31348i
\(208\) 0.219917i 0.0152485i
\(209\) 4.31221 9.16901i 0.298282 0.634234i
\(210\) 3.30691 + 2.60947i 0.228198 + 0.180071i
\(211\) −2.49731 + 1.44183i −0.171922 + 0.0992593i −0.583492 0.812119i \(-0.698314\pi\)
0.411570 + 0.911378i \(0.364981\pi\)
\(212\) −2.04507 3.54217i −0.140456 0.243277i
\(213\) −6.48271 16.2712i −0.444188 1.11488i
\(214\) 1.40220 + 2.42868i 0.0958522 + 0.166021i
\(215\) −1.22184 0.705429i −0.0833287 0.0481099i
\(216\) 4.71579 + 2.18205i 0.320869 + 0.148470i
\(217\) 9.79865i 0.665176i
\(218\) 13.8072 + 7.97161i 0.935144 + 0.539906i
\(219\) 2.28864 + 5.74435i 0.154652 + 0.388167i
\(220\) −2.32454 −0.156720
\(221\) 1.12732 0.0758314
\(222\) 2.06172 0.821425i 0.138374 0.0551304i
\(223\) −12.7294 + 7.34931i −0.852422 + 0.492146i −0.861467 0.507813i \(-0.830454\pi\)
0.00904511 + 0.999959i \(0.497121\pi\)
\(224\) −1.21604 + 2.10624i −0.0812500 + 0.140729i
\(225\) 2.17806 2.06302i 0.145204 0.137535i
\(226\) 6.08745 + 10.5438i 0.404931 + 0.701361i
\(227\) 11.0675 0.734576 0.367288 0.930107i \(-0.380286\pi\)
0.367288 + 0.930107i \(0.380286\pi\)
\(228\) −6.75452 + 3.37290i −0.447329 + 0.223376i
\(229\) 3.19538 0.211157 0.105578 0.994411i \(-0.466331\pi\)
0.105578 + 0.994411i \(0.466331\pi\)
\(230\) −4.33821 7.51400i −0.286053 0.495459i
\(231\) −1.40963 + 9.69007i −0.0927468 + 0.637559i
\(232\) 3.98772 6.90694i 0.261807 0.453463i
\(233\) 6.96020 4.01848i 0.455978 0.263259i −0.254374 0.967106i \(-0.581869\pi\)
0.710352 + 0.703847i \(0.248536\pi\)
\(234\) 0.187972 0.632407i 0.0122881 0.0413418i
\(235\) 5.48433 0.357758
\(236\) 0.956151 0.0622402
\(237\) 24.2643 9.66731i 1.57614 0.627959i
\(238\) 10.7968 + 6.23351i 0.699850 + 0.404059i
\(239\) 5.17399i 0.334678i 0.985899 + 0.167339i \(0.0535174\pi\)
−0.985899 + 0.167339i \(0.946483\pi\)
\(240\) 1.35971 + 1.07294i 0.0877687 + 0.0692579i
\(241\) −25.4528 14.6952i −1.63956 0.946601i −0.980984 0.194086i \(-0.937826\pi\)
−0.658576 0.752514i \(-0.728841\pi\)
\(242\) 2.79827 + 4.84674i 0.179879 + 0.311560i
\(243\) −11.6959 10.3056i −0.750293 0.661106i
\(244\) 4.12504 + 7.14478i 0.264079 + 0.457398i
\(245\) −0.939644 + 0.542503i −0.0600316 + 0.0346593i
\(246\) 2.55482 3.23765i 0.162889 0.206425i
\(247\) 0.547253 + 0.787034i 0.0348209 + 0.0500778i
\(248\) 4.02893i 0.255837i
\(249\) 1.08724 7.47388i 0.0689009 0.473638i
\(250\) 0.866025 0.500000i 0.0547723 0.0316228i
\(251\) 21.7086 + 12.5335i 1.37024 + 0.791107i 0.990958 0.134176i \(-0.0428386\pi\)
0.379279 + 0.925282i \(0.376172\pi\)
\(252\) 5.29720 5.01743i 0.333692 0.316068i
\(253\) 10.0843 17.4666i 0.633996 1.09811i
\(254\) 2.81687i 0.176746i
\(255\) 5.49998 6.96997i 0.344422 0.436476i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.30955 4.00025i 0.144066 0.249529i −0.784958 0.619548i \(-0.787316\pi\)
0.929024 + 0.370020i \(0.120649\pi\)
\(258\) −1.51377 + 1.91835i −0.0942429 + 0.119431i
\(259\) 3.11630i 0.193637i
\(260\) 0.109959 0.190454i 0.00681935 0.0118115i
\(261\) −17.3710 + 16.4535i −1.07524 + 1.01845i
\(262\) 7.22873 + 4.17351i 0.446593 + 0.257840i
\(263\) −24.7674 + 14.2995i −1.52723 + 0.881744i −0.527749 + 0.849401i \(0.676964\pi\)
−0.999477 + 0.0323436i \(0.989703\pi\)
\(264\) −0.579599 + 3.98428i −0.0356719 + 0.245215i
\(265\) 4.09015i 0.251256i
\(266\) 0.889349 + 10.5638i 0.0545295 + 0.647708i
\(267\) 4.35700 5.52151i 0.266644 0.337911i
\(268\) 6.63960 3.83338i 0.405578 0.234161i
\(269\) −1.62587 2.81609i −0.0991312 0.171700i 0.812194 0.583387i \(-0.198273\pi\)
−0.911325 + 0.411687i \(0.864940\pi\)
\(270\) −2.99297 4.24761i −0.182146 0.258501i
\(271\) −3.17133 5.49291i −0.192645 0.333670i 0.753481 0.657469i \(-0.228373\pi\)
−0.946126 + 0.323799i \(0.895040\pi\)
\(272\) 4.43932 + 2.56304i 0.269173 + 0.155407i
\(273\) −0.727247 0.573868i −0.0440150 0.0347321i
\(274\) 14.6215i 0.883318i
\(275\) 2.01311 + 1.16227i 0.121395 + 0.0700874i
\(276\) −13.9608 + 5.56220i −0.840339 + 0.334805i
\(277\) 22.1670 1.33189 0.665943 0.746002i \(-0.268029\pi\)
0.665943 + 0.746002i \(0.268029\pi\)
\(278\) 11.0268 0.661345
\(279\) 3.44369 11.5858i 0.206168 0.693625i
\(280\) 2.10624 1.21604i 0.125872 0.0726722i
\(281\) −7.85570 + 13.6065i −0.468632 + 0.811694i −0.999357 0.0358495i \(-0.988586\pi\)
0.530725 + 0.847544i \(0.321920\pi\)
\(282\) 1.36746 9.40019i 0.0814311 0.559773i
\(283\) −10.1514 17.5827i −0.603435 1.04518i −0.992297 0.123884i \(-0.960465\pi\)
0.388861 0.921296i \(-0.372869\pi\)
\(284\) −10.1123 −0.600056
\(285\) 7.53604 + 0.456245i 0.446396 + 0.0270256i
\(286\) 0.511206 0.0302282
\(287\) −2.89555 5.01525i −0.170919 0.296041i
\(288\) 2.17806 2.06302i 0.128343 0.121565i
\(289\) 4.63838 8.03390i 0.272846 0.472583i
\(290\) −6.90694 + 3.98772i −0.405590 + 0.234167i
\(291\) −11.3479 + 4.52117i −0.665223 + 0.265036i
\(292\) 3.57004 0.208921
\(293\) 16.1085 0.941067 0.470533 0.882382i \(-0.344062\pi\)
0.470533 + 0.882382i \(0.344062\pi\)
\(294\) 0.695566 + 1.74583i 0.0405662 + 0.101819i
\(295\) −0.828051 0.478076i −0.0482110 0.0278346i
\(296\) 1.28133i 0.0744760i
\(297\) 5.07226 10.9620i 0.294322 0.636081i
\(298\) −18.2772 10.5523i −1.05877 0.611279i
\(299\) 0.954048 + 1.65246i 0.0551740 + 0.0955642i
\(300\) −0.641070 1.60905i −0.0370122 0.0928983i
\(301\) 1.71566 + 2.97160i 0.0988888 + 0.171280i
\(302\) −20.9707 + 12.1074i −1.20673 + 0.696704i
\(303\) −16.0756 12.6852i −0.923520 0.728747i
\(304\) 0.365675 + 4.34353i 0.0209729 + 0.249119i
\(305\) 8.25009i 0.472399i
\(306\) −10.5752 11.1649i −0.604546 0.638255i
\(307\) 6.95957 4.01811i 0.397204 0.229326i −0.288073 0.957608i \(-0.593015\pi\)
0.685277 + 0.728283i \(0.259681\pi\)
\(308\) 4.89603 + 2.82672i 0.278977 + 0.161068i
\(309\) 4.38261 30.1269i 0.249318 1.71386i
\(310\) 2.01446 3.48915i 0.114414 0.198171i
\(311\) 20.2592i 1.14879i −0.818577 0.574396i \(-0.805237\pi\)
0.818577 0.574396i \(-0.194763\pi\)
\(312\) −0.299023 0.235958i −0.0169288 0.0133585i
\(313\) −12.0239 + 20.8260i −0.679631 + 1.17716i 0.295461 + 0.955355i \(0.404527\pi\)
−0.975092 + 0.221801i \(0.928807\pi\)
\(314\) 6.46343 11.1950i 0.364752 0.631769i
\(315\) −7.09623 + 1.69662i −0.399827 + 0.0955937i
\(316\) 15.0800i 0.848313i
\(317\) −6.26988 + 10.8598i −0.352152 + 0.609944i −0.986626 0.162999i \(-0.947883\pi\)
0.634475 + 0.772944i \(0.281217\pi\)
\(318\) 7.01055 + 1.01984i 0.393132 + 0.0571896i
\(319\) −16.0554 9.26961i −0.898932 0.518998i
\(320\) 0.866025 0.500000i 0.0484123 0.0279508i
\(321\) −4.80676 0.699247i −0.268287 0.0390282i
\(322\) 21.1017i 1.17595i
\(323\) 22.2653 1.87448i 1.23888 0.104299i
\(324\) −8.02670 + 4.07088i −0.445928 + 0.226160i
\(325\) −0.190454 + 0.109959i −0.0105645 + 0.00609941i
\(326\) 6.81062 + 11.7963i 0.377205 + 0.653339i
\(327\) −25.6534 + 10.2207i −1.41864 + 0.565208i
\(328\) −1.19057 2.06213i −0.0657382 0.113862i
\(329\) −11.5513 6.66915i −0.636844 0.367682i
\(330\) 2.49409 3.16069i 0.137295 0.173990i
\(331\) 5.06995i 0.278670i −0.990245 0.139335i \(-0.955504\pi\)
0.990245 0.139335i \(-0.0444965\pi\)
\(332\) −3.77627 2.18023i −0.207250 0.119656i
\(333\) −1.09521 + 3.68468i −0.0600171 + 0.201919i
\(334\) −10.8604 −0.594255
\(335\) −7.66675 −0.418880
\(336\) −1.55913 3.91332i −0.0850576 0.213489i
\(337\) 3.52448 2.03486i 0.191991 0.110846i −0.400923 0.916112i \(-0.631311\pi\)
0.592914 + 0.805266i \(0.297977\pi\)
\(338\) 6.47582 11.2164i 0.352238 0.610094i
\(339\) −20.8679 3.03568i −1.13339 0.164876i
\(340\) −2.56304 4.43932i −0.139001 0.240756i
\(341\) 9.36538 0.507164
\(342\) 2.66104 12.8031i 0.143893 0.692311i
\(343\) 19.6634 1.06172
\(344\) 0.705429 + 1.22184i 0.0380342 + 0.0658771i
\(345\) 14.8715 + 2.16338i 0.800653 + 0.116472i
\(346\) 6.04765 10.4748i 0.325124 0.563131i
\(347\) −4.31415 + 2.49077i −0.231596 + 0.133712i −0.611308 0.791393i \(-0.709356\pi\)
0.379712 + 0.925105i \(0.376023\pi\)
\(348\) 5.11282 + 12.8329i 0.274076 + 0.687914i
\(349\) 17.2329 0.922458 0.461229 0.887281i \(-0.347409\pi\)
0.461229 + 0.887281i \(0.347409\pi\)
\(350\) −2.43208 −0.130000
\(351\) 0.658205 + 0.934122i 0.0351324 + 0.0498598i
\(352\) 2.01311 + 1.16227i 0.107299 + 0.0619491i
\(353\) 26.6382i 1.41781i 0.705306 + 0.708903i \(0.250810\pi\)
−0.705306 + 0.708903i \(0.749190\pi\)
\(354\) −1.02589 + 1.30009i −0.0545256 + 0.0690987i
\(355\) 8.75753 + 5.05616i 0.464802 + 0.268353i
\(356\) −2.03041 3.51677i −0.107611 0.186388i
\(357\) −20.0600 + 7.99224i −1.06169 + 0.422994i
\(358\) −4.58689 7.94473i −0.242425 0.419892i
\(359\) −25.0199 + 14.4453i −1.32050 + 0.762392i −0.983809 0.179222i \(-0.942642\pi\)
−0.336694 + 0.941614i \(0.609309\pi\)
\(360\) −2.91776 + 0.697602i −0.153780 + 0.0367668i
\(361\) 12.1173 + 14.6346i 0.637754 + 0.770240i
\(362\) 9.66914i 0.508199i
\(363\) −9.59251 1.39544i −0.503476 0.0732415i
\(364\) −0.463199 + 0.267428i −0.0242782 + 0.0140170i
\(365\) −3.09174 1.78502i −0.161829 0.0934321i
\(366\) −14.1407 2.05707i −0.739148 0.107525i
\(367\) −10.1670 + 17.6098i −0.530713 + 0.919222i 0.468644 + 0.883387i \(0.344743\pi\)
−0.999358 + 0.0358355i \(0.988591\pi\)
\(368\) 8.67642i 0.452290i
\(369\) 1.66109 + 6.94760i 0.0864727 + 0.361678i
\(370\) −0.640666 + 1.10967i −0.0333067 + 0.0576888i
\(371\) 4.97377 8.61483i 0.258226 0.447260i
\(372\) −5.47816 4.32279i −0.284029 0.224126i
\(373\) 12.2252i 0.632997i 0.948593 + 0.316499i \(0.102507\pi\)
−0.948593 + 0.316499i \(0.897493\pi\)
\(374\) 5.95789 10.3194i 0.308075 0.533601i
\(375\) −0.249340 + 1.71401i −0.0128758 + 0.0885111i
\(376\) −4.74957 2.74216i −0.244940 0.141416i
\(377\) 1.51896 0.876970i 0.0782302 0.0451662i
\(378\) 1.13865 + 12.5860i 0.0585660 + 0.647356i
\(379\) 37.1799i 1.90980i 0.296925 + 0.954901i \(0.404039\pi\)
−0.296925 + 0.954901i \(0.595961\pi\)
\(380\) 1.85508 3.94445i 0.0951637 0.202346i
\(381\) −3.83012 3.02234i −0.196223 0.154839i
\(382\) 16.2131 9.36065i 0.829536 0.478933i
\(383\) 2.24543 + 3.88919i 0.114736 + 0.198728i 0.917674 0.397334i \(-0.130064\pi\)
−0.802938 + 0.596062i \(0.796731\pi\)
\(384\) −0.641070 1.60905i −0.0327145 0.0821113i
\(385\) −2.82672 4.89603i −0.144063 0.249525i
\(386\) −21.1958 12.2374i −1.07884 0.622867i
\(387\) −0.984217 4.11655i −0.0500306 0.209256i
\(388\) 7.05254i 0.358038i
\(389\) −23.0418 13.3032i −1.16827 0.674499i −0.214996 0.976615i \(-0.568974\pi\)
−0.953271 + 0.302116i \(0.902307\pi\)
\(390\) 0.140982 + 0.353857i 0.00713893 + 0.0179183i
\(391\) 44.4761 2.24925
\(392\) 1.08501 0.0548011
\(393\) −13.4307 + 5.35103i −0.677491 + 0.269924i
\(394\) −4.31146 + 2.48922i −0.217208 + 0.125405i
\(395\) −7.53998 + 13.0596i −0.379377 + 0.657101i
\(396\) −4.79557 5.06297i −0.240987 0.254424i
\(397\) −10.5922 18.3462i −0.531606 0.920769i −0.999319 0.0368887i \(-0.988255\pi\)
0.467713 0.883880i \(-0.345078\pi\)
\(398\) 18.1690 0.910731
\(399\) −15.3179 10.1251i −0.766853 0.506887i
\(400\) −1.00000 −0.0500000
\(401\) −11.5551 20.0141i −0.577036 0.999456i −0.995817 0.0913687i \(-0.970876\pi\)
0.418781 0.908087i \(-0.362458\pi\)
\(402\) −1.91163 + 13.1409i −0.0953433 + 0.655408i
\(403\) −0.443015 + 0.767325i −0.0220682 + 0.0382232i
\(404\) −10.2389 + 5.91143i −0.509404 + 0.294105i
\(405\) 8.98677 + 0.487870i 0.446556 + 0.0242424i
\(406\) 19.3969 0.962652
\(407\) −2.97850 −0.147639
\(408\) −8.24811 + 3.28618i −0.408342 + 0.162690i
\(409\) 8.26190 + 4.77001i 0.408525 + 0.235862i 0.690156 0.723661i \(-0.257542\pi\)
−0.281631 + 0.959523i \(0.590875\pi\)
\(410\) 2.38114i 0.117596i
\(411\) 19.8810 + 15.6880i 0.980656 + 0.773832i
\(412\) −15.2220 8.78844i −0.749935 0.432975i
\(413\) 1.16272 + 2.01388i 0.0572135 + 0.0990967i
\(414\) 7.41610 24.9504i 0.364481 1.22625i
\(415\) 2.18023 + 3.77627i 0.107023 + 0.185370i
\(416\) −0.190454 + 0.109959i −0.00933778 + 0.00539117i
\(417\) −11.8311 + 14.9933i −0.579373 + 0.734223i
\(418\) 10.0967 0.850025i 0.493846 0.0415761i
\(419\) 0.961723i 0.0469832i 0.999724 + 0.0234916i \(0.00747830\pi\)
−0.999724 + 0.0234916i \(0.992522\pi\)
\(420\) −0.606413 + 4.16860i −0.0295899 + 0.203407i
\(421\) −14.4170 + 8.32365i −0.702641 + 0.405670i −0.808330 0.588729i \(-0.799628\pi\)
0.105689 + 0.994399i \(0.466295\pi\)
\(422\) −2.49731 1.44183i −0.121567 0.0701870i
\(423\) 11.3143 + 11.9452i 0.550120 + 0.580794i
\(424\) 2.04507 3.54217i 0.0993176 0.172023i
\(425\) 5.12609i 0.248652i
\(426\) 10.8499 13.7498i 0.525680 0.666180i
\(427\) −10.0324 + 17.3767i −0.485503 + 0.840915i
\(428\) −1.40220 + 2.42868i −0.0677777 + 0.117394i
\(429\) −0.548493 + 0.695090i −0.0264815 + 0.0335592i
\(430\) 1.41086i 0.0680376i
\(431\) −5.03639 + 8.72328i −0.242594 + 0.420185i −0.961452 0.274971i \(-0.911332\pi\)
0.718858 + 0.695157i \(0.244665\pi\)
\(432\) 0.468182 + 5.17502i 0.0225254 + 0.248983i
\(433\) 5.91643 + 3.41585i 0.284326 + 0.164155i 0.635380 0.772200i \(-0.280843\pi\)
−0.351054 + 0.936355i \(0.614177\pi\)
\(434\) −8.48588 + 4.89933i −0.407335 + 0.235175i
\(435\) 1.98860 13.6700i 0.0953459 0.655426i
\(436\) 15.9432i 0.763542i
\(437\) 21.5909 + 31.0510i 1.03283 + 1.48537i
\(438\) −3.83043 + 4.85420i −0.183025 + 0.231943i
\(439\) 9.27371 5.35418i 0.442610 0.255541i −0.262094 0.965042i \(-0.584413\pi\)
0.704704 + 0.709501i \(0.251080\pi\)
\(440\) −1.16227 2.01311i −0.0554090 0.0959711i
\(441\) −3.12011 0.927401i −0.148577 0.0441619i
\(442\) 0.563658 + 0.976283i 0.0268105 + 0.0464371i
\(443\) 6.87406 + 3.96874i 0.326596 + 0.188560i 0.654329 0.756210i \(-0.272951\pi\)
−0.327733 + 0.944771i \(0.606285\pi\)
\(444\) 1.74224 + 1.37479i 0.0826829 + 0.0652448i
\(445\) 4.06081i 0.192501i
\(446\) −12.7294 7.34931i −0.602754 0.348000i
\(447\) 33.9583 13.5296i 1.60617 0.639926i
\(448\) −2.43208 −0.114905
\(449\) −16.3905 −0.773515 −0.386757 0.922181i \(-0.626405\pi\)
−0.386757 + 0.922181i \(0.626405\pi\)
\(450\) 2.87566 + 0.854742i 0.135560 + 0.0402929i
\(451\) −4.79348 + 2.76752i −0.225716 + 0.130317i
\(452\) −6.08745 + 10.5438i −0.286329 + 0.495937i
\(453\) 6.03773 41.5045i 0.283677 1.95005i
\(454\) 5.53375 + 9.58473i 0.259712 + 0.449834i
\(455\) 0.534856 0.0250744
\(456\) −6.29828 4.16314i −0.294944 0.194957i
\(457\) −19.8202 −0.927152 −0.463576 0.886057i \(-0.653434\pi\)
−0.463576 + 0.886057i \(0.653434\pi\)
\(458\) 1.59769 + 2.76728i 0.0746553 + 0.129307i
\(459\) 26.5276 2.39994i 1.23820 0.112020i
\(460\) 4.33821 7.51400i 0.202270 0.350342i
\(461\) −35.9630 + 20.7632i −1.67496 + 0.967040i −0.710170 + 0.704030i \(0.751382\pi\)
−0.964793 + 0.263010i \(0.915285\pi\)
\(462\) −9.09666 + 3.62426i −0.423215 + 0.168616i
\(463\) 20.2445 0.940843 0.470422 0.882442i \(-0.344102\pi\)
0.470422 + 0.882442i \(0.344102\pi\)
\(464\) 7.97545 0.370251
\(465\) 2.58282 + 6.48273i 0.119776 + 0.300629i
\(466\) 6.96020 + 4.01848i 0.322425 + 0.186152i
\(467\) 10.1496i 0.469667i −0.972036 0.234833i \(-0.924546\pi\)
0.972036 0.234833i \(-0.0754544\pi\)
\(468\) 0.641667 0.153415i 0.0296611 0.00709160i
\(469\) 16.1480 + 9.32306i 0.745646 + 0.430499i
\(470\) 2.74216 + 4.74957i 0.126487 + 0.219081i
\(471\) 8.28702 + 20.7999i 0.381846 + 0.958409i
\(472\) 0.478076 + 0.828051i 0.0220052 + 0.0381142i
\(473\) 2.84021 1.63980i 0.130593 0.0753979i
\(474\) 20.5043 + 16.1799i 0.941794 + 0.743166i
\(475\) −3.57877 + 2.48845i −0.164205 + 0.114178i
\(476\) 12.4670i 0.571425i
\(477\) −8.90858 + 8.43807i −0.407896 + 0.386353i
\(478\) −4.48081 + 2.58700i −0.204947 + 0.118326i
\(479\) −35.2374 20.3443i −1.61004 0.929555i −0.989360 0.145488i \(-0.953525\pi\)
−0.620676 0.784067i \(-0.713142\pi\)
\(480\) −0.249340 + 1.71401i −0.0113808 + 0.0782335i
\(481\) 0.140894 0.244035i 0.00642420 0.0111270i
\(482\) 29.3904i 1.33870i
\(483\) −28.6921 22.6409i −1.30554 1.03020i
\(484\) −2.79827 + 4.84674i −0.127194 + 0.220306i
\(485\) 3.52627 6.10768i 0.160120 0.277335i
\(486\) 3.07697 15.2818i 0.139574 0.693195i
\(487\) 14.4557i 0.655048i −0.944843 0.327524i \(-0.893786\pi\)
0.944843 0.327524i \(-0.106214\pi\)
\(488\) −4.12504 + 7.14478i −0.186732 + 0.323429i
\(489\) −23.3469 3.39632i −1.05579 0.153587i
\(490\) −0.939644 0.542503i −0.0424488 0.0245078i
\(491\) 13.6141 7.86008i 0.614394 0.354721i −0.160289 0.987070i \(-0.551243\pi\)
0.774683 + 0.632350i \(0.217909\pi\)
\(492\) 4.08129 + 0.593712i 0.183999 + 0.0267666i
\(493\) 40.8828i 1.84127i
\(494\) −0.407965 + 0.867452i −0.0183552 + 0.0390285i
\(495\) 1.62160 + 6.78245i 0.0728855 + 0.304848i
\(496\) −3.48915 + 2.01446i −0.156668 + 0.0904521i
\(497\) −12.2970 21.2990i −0.551595 0.955390i
\(498\) 7.01619 2.79537i 0.314403 0.125263i
\(499\) −16.7701 29.0466i −0.750731 1.30030i −0.947469 0.319848i \(-0.896368\pi\)
0.196738 0.980456i \(-0.436965\pi\)
\(500\) 0.866025 + 0.500000i 0.0387298 + 0.0223607i
\(501\) 11.6526 14.7670i 0.520598 0.659739i
\(502\) 25.0670i 1.11879i
\(503\) 7.23726 + 4.17843i 0.322694 + 0.186307i 0.652593 0.757709i \(-0.273681\pi\)
−0.329899 + 0.944016i \(0.607015\pi\)
\(504\) 6.99382 + 2.07880i 0.311530 + 0.0925969i
\(505\) 11.8229 0.526110
\(506\) 20.1687 0.896606
\(507\) 8.30291 + 20.8398i 0.368745 + 0.925527i
\(508\) −2.43948 + 1.40844i −0.108235 + 0.0624893i
\(509\) 14.3398 24.8373i 0.635602 1.10090i −0.350785 0.936456i \(-0.614085\pi\)
0.986387 0.164440i \(-0.0525816\pi\)
\(510\) 8.78616 + 1.27814i 0.389058 + 0.0565969i
\(511\) 4.34130 + 7.51935i 0.192048 + 0.332636i
\(512\) −1.00000 −0.0441942
\(513\) 14.5533 + 17.3552i 0.642543 + 0.766249i
\(514\) 4.61909 0.203739
\(515\) 8.78844 + 15.2220i 0.387265 + 0.670762i
\(516\) −2.41822 0.351783i −0.106456 0.0154864i
\(517\) −6.37426 + 11.0405i −0.280340 + 0.485562i
\(518\) 2.69879 1.55815i 0.118578 0.0684612i
\(519\) 7.75394 + 19.4619i 0.340360 + 0.854282i
\(520\) 0.219917 0.00964401
\(521\) −22.1970 −0.972468 −0.486234 0.873829i \(-0.661630\pi\)
−0.486234 + 0.873829i \(0.661630\pi\)
\(522\) −22.9347 6.81695i −1.00382 0.298370i
\(523\) 22.4245 + 12.9468i 0.980554 + 0.566123i 0.902437 0.430821i \(-0.141776\pi\)
0.0781167 + 0.996944i \(0.475109\pi\)
\(524\) 8.34702i 0.364641i
\(525\) 2.60947 3.30691i 0.113887 0.144325i
\(526\) −24.7674 14.2995i −1.07991 0.623487i
\(527\) 10.3263 + 17.8857i 0.449821 + 0.779113i
\(528\) −3.74029 + 1.49019i −0.162775 + 0.0648522i
\(529\) 26.1402 + 45.2761i 1.13653 + 1.96853i
\(530\) −3.54217 + 2.04507i −0.153862 + 0.0888323i
\(531\) −0.667013 2.78983i −0.0289459 0.121068i
\(532\) −8.70385 + 6.05210i −0.377360 + 0.262392i
\(533\) 0.523653i 0.0226819i
\(534\) 6.96027 + 1.01252i 0.301200 + 0.0438161i
\(535\) 2.42868 1.40220i 0.105001 0.0606223i
\(536\) 6.63960 + 3.83338i 0.286787 + 0.165577i
\(537\) 15.7240 + 2.28739i 0.678539 + 0.0987081i
\(538\) 1.62587 2.81609i 0.0700963 0.121410i
\(539\) 2.52214i 0.108636i
\(540\) 2.18205 4.71579i 0.0939006 0.202935i
\(541\) −5.15671 + 8.93169i −0.221704 + 0.384003i −0.955326 0.295555i \(-0.904495\pi\)
0.733621 + 0.679559i \(0.237829\pi\)
\(542\) 3.17133 5.49291i 0.136220 0.235940i
\(543\) 13.1472 + 10.3744i 0.564200 + 0.445208i
\(544\) 5.12609i 0.219779i
\(545\) 7.97161 13.8072i 0.341466 0.591437i
\(546\) 0.133361 0.916748i 0.00570731 0.0392332i
\(547\) −6.35260 3.66767i −0.271618 0.156818i 0.358005 0.933720i \(-0.383457\pi\)
−0.629622 + 0.776901i \(0.716790\pi\)
\(548\) 12.6626 7.31076i 0.540920 0.312300i
\(549\) 17.9692 17.0201i 0.766905 0.726401i
\(550\) 2.32454i 0.0991185i
\(551\) 28.5423 19.8465i 1.21594 0.845490i
\(552\) −11.7974 9.30928i −0.502130 0.396229i
\(553\) 31.7620 18.3378i 1.35066 0.779802i
\(554\) 11.0835 + 19.1972i 0.470893 + 0.815611i
\(555\) −0.821425 2.06172i −0.0348675 0.0875153i
\(556\) 5.51342 + 9.54952i 0.233821 + 0.404990i
\(557\) 12.9817 + 7.49498i 0.550051 + 0.317572i 0.749143 0.662409i \(-0.230466\pi\)
−0.199091 + 0.979981i \(0.563799\pi\)
\(558\) 11.7555 2.81059i 0.497648 0.118982i
\(559\) 0.310272i 0.0131231i
\(560\) 2.10624 + 1.21604i 0.0890049 + 0.0513870i
\(561\) 7.63885 + 19.1730i 0.322512 + 0.809486i
\(562\) −15.7114 −0.662746
\(563\) 19.5385 0.823450 0.411725 0.911308i \(-0.364926\pi\)
0.411725 + 0.911308i \(0.364926\pi\)
\(564\) 8.82453 3.51584i 0.371580 0.148044i
\(565\) 10.5438 6.08745i 0.443580 0.256101i
\(566\) 10.1514 17.5827i 0.426693 0.739054i
\(567\) −18.3350 11.9558i −0.769998 0.502097i
\(568\) −5.05616 8.75753i −0.212152 0.367458i
\(569\) 43.9934 1.84430 0.922149 0.386835i \(-0.126432\pi\)
0.922149 + 0.386835i \(0.126432\pi\)
\(570\) 3.37290 + 6.75452i 0.141275 + 0.282916i
\(571\) −17.0307 −0.712711 −0.356356 0.934350i \(-0.615981\pi\)
−0.356356 + 0.934350i \(0.615981\pi\)
\(572\) 0.255603 + 0.442717i 0.0106873 + 0.0185109i
\(573\) −4.66796 + 32.0885i −0.195007 + 1.34052i
\(574\) 2.89555 5.01525i 0.120858 0.209332i
\(575\) −7.51400 + 4.33821i −0.313356 + 0.180916i
\(576\) 2.87566 + 0.854742i 0.119819 + 0.0356142i
\(577\) −13.3602 −0.556192 −0.278096 0.960553i \(-0.589703\pi\)
−0.278096 + 0.960553i \(0.589703\pi\)
\(578\) 9.27675 0.385862
\(579\) 39.3811 15.6901i 1.63662 0.652057i
\(580\) −6.90694 3.98772i −0.286795 0.165581i
\(581\) 10.6050i 0.439969i
\(582\) −9.58938 7.56695i −0.397493 0.313660i
\(583\) −8.23391 4.75385i −0.341014 0.196884i
\(584\) 1.78502 + 3.09174i 0.0738646 + 0.127937i
\(585\) −0.632407 0.187972i −0.0261468 0.00777171i
\(586\) 8.05424 + 13.9503i 0.332717 + 0.576283i
\(587\) 23.1836 13.3851i 0.956891 0.552461i 0.0616763 0.998096i \(-0.480355\pi\)
0.895215 + 0.445635i \(0.147022\pi\)
\(588\) −1.16415 + 1.47529i −0.0480086 + 0.0608400i
\(589\) −7.47399 + 15.8919i −0.307960 + 0.654814i
\(590\) 0.956151i 0.0393641i
\(591\) 1.24132 8.53310i 0.0510613 0.351005i
\(592\) 1.10967 0.640666i 0.0456070 0.0263312i
\(593\) 8.48127 + 4.89666i 0.348284 + 0.201082i 0.663929 0.747795i \(-0.268888\pi\)
−0.315645 + 0.948877i \(0.602221\pi\)
\(594\) 12.0295 1.08830i 0.493577 0.0446537i
\(595\) 6.23351 10.7968i 0.255549 0.442624i
\(596\) 21.1046i 0.864480i
\(597\) −19.4943 + 24.7045i −0.797847 + 1.01109i
\(598\) −0.954048 + 1.65246i −0.0390139 + 0.0675741i
\(599\) −13.4316 + 23.2641i −0.548799 + 0.950547i 0.449559 + 0.893251i \(0.351581\pi\)
−0.998357 + 0.0572961i \(0.981752\pi\)
\(600\) 1.07294 1.35971i 0.0438026 0.0555098i
\(601\) 26.9483i 1.09925i 0.835413 + 0.549623i \(0.185229\pi\)
−0.835413 + 0.549623i \(0.814771\pi\)
\(602\) −1.71566 + 2.97160i −0.0699250 + 0.121114i
\(603\) −15.8167 16.6986i −0.644106 0.680021i
\(604\) −20.9707 12.1074i −0.853285 0.492644i
\(605\) 4.84674 2.79827i 0.197048 0.113766i
\(606\) 2.94791 20.2645i 0.119751 0.823189i
\(607\) 24.9777i 1.01381i 0.862001 + 0.506906i \(0.169211\pi\)
−0.862001 + 0.506906i \(0.830789\pi\)
\(608\) −3.57877 + 2.48845i −0.145138 + 0.100920i
\(609\) −20.8117 + 26.3741i −0.843332 + 1.06873i
\(610\) 7.14478 4.12504i 0.289284 0.167018i
\(611\) −0.603049 1.04451i −0.0243968 0.0422564i
\(612\) 4.38148 14.7409i 0.177111 0.595865i
\(613\) 5.51510 + 9.55243i 0.222753 + 0.385819i 0.955643 0.294528i \(-0.0951624\pi\)
−0.732890 + 0.680347i \(0.761829\pi\)
\(614\) 6.95957 + 4.01811i 0.280865 + 0.162158i
\(615\) −3.23765 2.55482i −0.130555 0.103020i
\(616\) 5.65345i 0.227784i
\(617\) −16.4524 9.49880i −0.662349 0.382407i 0.130823 0.991406i \(-0.458238\pi\)
−0.793171 + 0.608999i \(0.791571\pi\)
\(618\) 28.2820 11.2680i 1.13767 0.453266i
\(619\) −39.2407 −1.57722 −0.788608 0.614896i \(-0.789198\pi\)
−0.788608 + 0.614896i \(0.789198\pi\)
\(620\) 4.02893 0.161806
\(621\) 25.9682 + 36.8540i 1.04207 + 1.47890i
\(622\) 17.5450 10.1296i 0.703489 0.406159i
\(623\) 4.93810 8.55304i 0.197841 0.342670i
\(624\) 0.0548341 0.376940i 0.00219512 0.0150897i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −24.0478 −0.961144
\(627\) −9.67736 + 14.6406i −0.386477 + 0.584688i
\(628\) 12.9269 0.515837
\(629\) −3.28411 5.68825i −0.130946 0.226805i
\(630\) −5.01743 5.29720i −0.199899 0.211046i
\(631\) 9.58134 16.5954i 0.381427 0.660651i −0.609840 0.792525i \(-0.708766\pi\)
0.991266 + 0.131874i \(0.0420994\pi\)
\(632\) 13.0596 7.53998i 0.519484 0.299924i
\(633\) 4.63993 1.84862i 0.184421 0.0734762i
\(634\) −12.5398 −0.498017
\(635\) 2.81687 0.111784
\(636\) 2.62207 + 6.58124i 0.103972 + 0.260963i
\(637\) 0.206644 + 0.119306i 0.00818753 + 0.00472707i
\(638\) 18.5392i 0.733975i
\(639\) 7.05438 + 29.5054i 0.279067 + 1.16722i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) −15.7483 27.2768i −0.622020 1.07737i −0.989109 0.147184i \(-0.952979\pi\)
0.367090 0.930186i \(-0.380354\pi\)
\(642\) −1.79781 4.51240i −0.0709540 0.178090i
\(643\) 4.48834 + 7.77403i 0.177003 + 0.306578i 0.940853 0.338816i \(-0.110027\pi\)
−0.763850 + 0.645394i \(0.776693\pi\)
\(644\) −18.2746 + 10.5509i −0.720121 + 0.415762i
\(645\) 1.91835 + 1.51377i 0.0755350 + 0.0596044i
\(646\) 12.7560 + 18.3451i 0.501879 + 0.721778i
\(647\) 4.22420i 0.166071i 0.996547 + 0.0830353i \(0.0264614\pi\)
−0.996547 + 0.0830353i \(0.973539\pi\)
\(648\) −7.53883 4.91589i −0.296153 0.193114i
\(649\) 1.92484 1.11130i 0.0755564 0.0436225i
\(650\) −0.190454 0.109959i −0.00747022 0.00431293i
\(651\) 2.44319 16.7950i 0.0957563 0.658247i
\(652\) −6.81062 + 11.7963i −0.266724 + 0.461980i
\(653\) 20.4175i 0.798999i −0.916733 0.399499i \(-0.869184\pi\)
0.916733 0.399499i \(-0.130816\pi\)
\(654\) −21.6781 17.1061i −0.847681 0.668902i
\(655\) 4.17351 7.22873i 0.163073 0.282450i
\(656\) 1.19057 2.06213i 0.0464839 0.0805125i
\(657\) −2.49046 10.4165i −0.0971622 0.406387i
\(658\) 13.3383i 0.519981i
\(659\) −20.4046 + 35.3417i −0.794849 + 1.37672i 0.128086 + 0.991763i \(0.459117\pi\)
−0.922935 + 0.384955i \(0.874217\pi\)
\(660\) 3.98428 + 0.579599i 0.155088 + 0.0225609i
\(661\) −6.66358 3.84722i −0.259183 0.149640i 0.364779 0.931094i \(-0.381145\pi\)
−0.623962 + 0.781455i \(0.714478\pi\)
\(662\) 4.39071 2.53498i 0.170650 0.0985247i
\(663\) −1.93223 0.281084i −0.0750416 0.0109164i
\(664\) 4.36047i 0.169219i
\(665\) 10.5638 0.889349i 0.409647 0.0344875i
\(666\) −3.73863 + 0.893860i −0.144869 + 0.0346364i
\(667\) 59.9276 34.5992i 2.32040 1.33969i
\(668\) −5.43020 9.40538i −0.210101 0.363905i
\(669\) 23.6508 9.42285i 0.914391 0.364308i
\(670\) −3.83338 6.63960i −0.148096 0.256510i
\(671\) 16.6083 + 9.58881i 0.641157 + 0.370172i
\(672\) 2.60947 3.30691i 0.100662 0.127567i
\(673\) 10.6822i 0.411770i 0.978576 + 0.205885i \(0.0660073\pi\)
−0.978576 + 0.205885i \(0.933993\pi\)
\(674\) 3.52448 + 2.03486i 0.135758 + 0.0783798i
\(675\) −4.24761 + 2.99297i −0.163490 + 0.115199i
\(676\) 12.9516 0.498140
\(677\) −12.9215 −0.496612 −0.248306 0.968682i \(-0.579874\pi\)
−0.248306 + 0.968682i \(0.579874\pi\)
\(678\) −7.80496 19.5900i −0.299748 0.752348i
\(679\) −14.8543 + 8.57615i −0.570057 + 0.329123i
\(680\) 2.56304 4.43932i 0.0982882 0.170240i
\(681\) −18.9698 2.75957i −0.726924 0.105747i
\(682\) 4.68269 + 8.11066i 0.179310 + 0.310573i
\(683\) 39.7388 1.52056 0.760282 0.649593i \(-0.225061\pi\)
0.760282 + 0.649593i \(0.225061\pi\)
\(684\) 12.4183 4.09701i 0.474826 0.156653i
\(685\) −14.6215 −0.558660
\(686\) 9.83168 + 17.0290i 0.375375 + 0.650169i
\(687\) −5.47692 0.796736i −0.208958 0.0303974i
\(688\) −0.705429 + 1.22184i −0.0268942 + 0.0465822i
\(689\) 0.778985 0.449747i 0.0296770 0.0171340i
\(690\) 5.56220 + 13.9608i 0.211749 + 0.531477i
\(691\) −9.39689 −0.357474 −0.178737 0.983897i \(-0.557201\pi\)
−0.178737 + 0.983897i \(0.557201\pi\)
\(692\) 12.0953 0.459794
\(693\) 4.83224 16.2574i 0.183562 0.617567i
\(694\) −4.31415 2.49077i −0.163763 0.0945485i
\(695\) 11.0268i 0.418272i
\(696\) −8.55717 + 10.8443i −0.324359 + 0.411051i
\(697\) −10.5706 6.10296i −0.400391 0.231166i
\(698\) 8.61647 + 14.9242i 0.326138 + 0.564888i
\(699\) −12.9318 + 5.15225i −0.489126 + 0.194876i
\(700\) −1.21604 2.10624i −0.0459619 0.0796084i
\(701\) −21.4383 + 12.3774i −0.809713 + 0.467488i −0.846856 0.531822i \(-0.821508\pi\)
0.0371431 + 0.999310i \(0.488174\pi\)
\(702\) −0.479871 + 1.03708i −0.0181116 + 0.0391422i
\(703\) 2.37698 5.05415i 0.0896494 0.190621i
\(704\) 2.32454i 0.0876092i
\(705\) −9.40019 1.36746i −0.354032 0.0515015i
\(706\) −23.0693 + 13.3191i −0.868226 + 0.501270i
\(707\) −24.9018 14.3770i −0.936528 0.540705i
\(708\) −1.63885 0.238407i −0.0615919 0.00895987i
\(709\) 6.84044 11.8480i 0.256898 0.444960i −0.708511 0.705699i \(-0.750633\pi\)
0.965409 + 0.260739i \(0.0839662\pi\)
\(710\) 10.1123i 0.379509i
\(711\) −43.9997 + 10.5198i −1.65012 + 0.394523i
\(712\) 2.03041 3.51677i 0.0760927 0.131796i
\(713\) −17.4783 + 30.2734i −0.654569 + 1.13375i
\(714\) −16.9515 13.3764i −0.634394 0.500598i
\(715\) 0.511206i 0.0191180i
\(716\) 4.58689 7.94473i 0.171420 0.296908i
\(717\) 1.29008 8.86828i 0.0481790 0.331192i
\(718\) −25.0199 14.4453i −0.933736 0.539093i
\(719\) −16.2403 + 9.37635i −0.605661 + 0.349679i −0.771265 0.636514i \(-0.780376\pi\)
0.165604 + 0.986192i \(0.447043\pi\)
\(720\) −2.06302 2.17806i −0.0768843 0.0811714i
\(721\) 42.7483i 1.59203i
\(722\) −6.61523 + 17.8112i −0.246193 + 0.662864i
\(723\) 39.9623 + 31.5341i 1.48621 + 1.17277i
\(724\) 8.37372 4.83457i 0.311207 0.179675i
\(725\) 3.98772 + 6.90694i 0.148100 + 0.256517i
\(726\) −3.58777 9.00508i −0.133155 0.334210i
\(727\) 24.9453 + 43.2065i 0.925170 + 1.60244i 0.791287 + 0.611445i \(0.209411\pi\)
0.133883 + 0.990997i \(0.457255\pi\)
\(728\) −0.463199 0.267428i −0.0171673 0.00991153i
\(729\) 17.4773 + 20.5802i 0.647307 + 0.762229i
\(730\) 3.57004i 0.132133i
\(731\) 6.26325 + 3.61609i 0.231655 + 0.133746i
\(732\) −5.28889 13.2748i −0.195483 0.490649i
\(733\) 28.7958 1.06360 0.531799 0.846870i \(-0.321516\pi\)
0.531799 + 0.846870i \(0.321516\pi\)
\(734\) −20.3340 −0.750542
\(735\) 1.74583 0.695566i 0.0643958 0.0256563i
\(736\) −7.51400 + 4.33821i −0.276970 + 0.159909i
\(737\) 8.91082 15.4340i 0.328234 0.568519i
\(738\) −5.18625 + 4.91234i −0.190909 + 0.180826i
\(739\) −11.8821 20.5805i −0.437092 0.757065i 0.560372 0.828241i \(-0.310658\pi\)
−0.997464 + 0.0711761i \(0.977325\pi\)
\(740\) −1.28133 −0.0471027
\(741\) −0.741759 1.48544i −0.0272492 0.0545689i
\(742\) 9.94755 0.365186
\(743\) 3.44798 + 5.97208i 0.126494 + 0.219094i 0.922316 0.386437i \(-0.126294\pi\)
−0.795822 + 0.605531i \(0.792961\pi\)
\(744\) 1.00457 6.90562i 0.0368294 0.253172i
\(745\) −10.5523 + 18.2772i −0.386607 + 0.669623i
\(746\) −10.5873 + 6.11260i −0.387630 + 0.223798i
\(747\) −3.72707 + 12.5392i −0.136366 + 0.458786i
\(748\) 11.9158 0.435684
\(749\) −6.82050 −0.249216
\(750\) −1.60905 + 0.641070i −0.0587541 + 0.0234086i
\(751\) −36.8595 21.2808i −1.34502 0.776548i −0.357482 0.933920i \(-0.616365\pi\)
−0.987539 + 0.157372i \(0.949698\pi\)
\(752\) 5.48433i 0.199993i
\(753\) −34.0837 26.8953i −1.24208 0.980121i
\(754\) 1.51896 + 0.876970i 0.0553171 + 0.0319373i
\(755\) 12.1074 + 20.9707i 0.440634 + 0.763201i
\(756\) −10.3305 + 7.27912i −0.375717 + 0.264739i
\(757\) −15.7761 27.3249i −0.573391 0.993142i −0.996214 0.0869297i \(-0.972294\pi\)
0.422824 0.906212i \(-0.361039\pi\)
\(758\) −32.1987 + 18.5899i −1.16951 + 0.675217i
\(759\) −21.6398 + 27.4235i −0.785473 + 0.995408i
\(760\) 4.34353 0.365675i 0.157557 0.0132644i
\(761\) 22.6385i 0.820646i 0.911940 + 0.410323i \(0.134584\pi\)
−0.911940 + 0.410323i \(0.865416\pi\)
\(762\) 0.702359 4.82815i 0.0254438 0.174905i
\(763\) −33.5803 + 19.3876i −1.21569 + 0.701877i
\(764\) 16.2131 + 9.36065i 0.586570 + 0.338656i
\(765\) −11.1649 + 10.5752i −0.403668 + 0.382348i
\(766\) −2.24543 + 3.88919i −0.0811305 + 0.140522i
\(767\) 0.210274i 0.00759256i
\(768\) 1.07294 1.35971i 0.0387164 0.0490642i
\(769\) 0.580659 1.00573i 0.0209391 0.0362676i −0.855366 0.518024i \(-0.826668\pi\)
0.876305 + 0.481757i \(0.160001\pi\)
\(770\) 2.82672 4.89603i 0.101868 0.176441i
\(771\) −4.95601 + 6.28061i −0.178486 + 0.226191i
\(772\) 24.4748i 0.880867i
\(773\) 7.13678 12.3613i 0.256692 0.444604i −0.708661 0.705549i \(-0.750701\pi\)
0.965354 + 0.260945i \(0.0840340\pi\)
\(774\) 3.07293 2.91063i 0.110454 0.104621i
\(775\) −3.48915 2.01446i −0.125334 0.0723616i