Properties

Label 690.2.r.b.169.1
Level $690$
Weight $2$
Character 690.169
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 169.1
Character \(\chi\) \(=\) 690.169
Dual form 690.2.r.b.49.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.989821 - 0.142315i) q^{2} +(0.909632 - 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(-2.09099 + 0.792321i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-0.378014 + 0.588202i) q^{7} +(-0.909632 - 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.989821 - 0.142315i) q^{2} +(0.909632 - 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(-2.09099 + 0.792321i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-0.378014 + 0.588202i) q^{7} +(-0.909632 - 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +(2.18246 - 0.486678i) q^{10} +(-0.745698 - 5.18645i) q^{11} +(0.989821 - 0.142315i) q^{12} +(1.92796 + 2.99996i) q^{13} +(0.457877 - 0.528418i) q^{14} +(-1.57289 + 1.58935i) q^{15} +(0.841254 + 0.540641i) q^{16} +(-0.765463 - 2.60693i) q^{17} +(-0.755750 + 0.654861i) q^{18} +(-3.73394 - 1.09638i) q^{19} +(-2.22951 + 0.171128i) q^{20} +(-0.0995061 + 0.692080i) q^{21} +5.23978i q^{22} +(-0.308327 - 4.78591i) q^{23} -1.00000 q^{24} +(3.74445 - 3.31347i) q^{25} +(-1.48140 - 3.24380i) q^{26} +(0.281733 - 0.959493i) q^{27} +(-0.528418 + 0.457877i) q^{28} +(8.22773 - 2.41588i) q^{29} +(1.78306 - 1.34933i) q^{30} +(2.66056 - 5.82581i) q^{31} +(-0.755750 - 0.654861i) q^{32} +(-2.83284 - 4.40798i) q^{33} +(0.386667 + 2.68933i) q^{34} +(0.324378 - 1.52943i) q^{35} +(0.841254 - 0.540641i) q^{36} +(-4.34838 - 3.76789i) q^{37} +(3.53991 + 1.61662i) q^{38} +(2.99996 + 1.92796i) q^{39} +(2.23117 + 0.147906i) q^{40} +(-1.31526 - 1.51789i) q^{41} +(0.196987 - 0.670875i) q^{42} +(-4.36540 + 1.99361i) q^{43} +(0.745698 - 5.18645i) q^{44} +(-0.770509 + 2.09912i) q^{45} +(-0.375917 + 4.78108i) q^{46} -5.47253i q^{47} +(0.989821 + 0.142315i) q^{48} +(2.70482 + 5.92273i) q^{49} +(-4.17790 + 2.74685i) q^{50} +(-1.77925 - 2.05336i) q^{51} +(1.00468 + 3.42161i) q^{52} +(-1.05405 + 1.64013i) q^{53} +(-0.415415 + 0.909632i) q^{54} +(5.66858 + 10.2540i) q^{55} +(0.588202 - 0.378014i) q^{56} +(-3.85197 + 0.553830i) q^{57} +(-8.48780 + 1.22036i) q^{58} +(-9.17993 + 5.89959i) q^{59} +(-1.95694 + 1.08184i) q^{60} +(5.71509 - 12.5143i) q^{61} +(-3.46258 + 5.38788i) q^{62} +(0.196987 + 0.670875i) q^{63} +(0.654861 + 0.755750i) q^{64} +(-6.40827 - 4.74532i) q^{65} +(2.17668 + 4.76627i) q^{66} +(3.44525 + 0.495352i) q^{67} -2.71699i q^{68} +(-2.26860 - 4.22533i) q^{69} +(-0.538737 + 1.46770i) q^{70} +(-0.0479933 + 0.333800i) q^{71} +(-0.909632 + 0.415415i) q^{72} +(3.65477 - 12.4470i) q^{73} +(3.76789 + 4.34838i) q^{74} +(2.02961 - 4.56954i) q^{75} +(-3.27381 - 2.10395i) q^{76} +(3.33256 + 1.52193i) q^{77} +(-2.69505 - 2.33527i) q^{78} +(-3.98251 + 2.55940i) q^{79} +(-2.18741 - 0.463930i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(1.08585 + 1.68962i) q^{82} +(-12.2644 - 10.6272i) q^{83} +(-0.290457 + 0.636012i) q^{84} +(3.66610 + 4.84456i) q^{85} +(4.60469 - 1.35206i) q^{86} +(6.48061 - 5.61548i) q^{87} +(-1.47622 + 5.02753i) q^{88} +(3.75816 + 8.22923i) q^{89} +(1.06140 - 1.96810i) q^{90} -2.49338 q^{91} +(1.05251 - 4.67891i) q^{92} -6.40458i q^{93} +(-0.778822 + 5.41682i) q^{94} +(8.67632 - 0.665957i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(-5.51857 + 4.78187i) q^{97} +(-1.83440 - 6.24738i) q^{98} +(-4.40798 - 2.83284i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} + O(q^{10}) \) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} - 18q^{10} - 8q^{11} - 4q^{15} - 12q^{16} + 16q^{19} + 14q^{20} - 22q^{21} - 120q^{24} + 28q^{25} + 8q^{26} + 8q^{29} + 8q^{30} + 8q^{31} + 44q^{34} + 58q^{35} - 12q^{36} + 14q^{39} - 4q^{40} + 8q^{44} - 8q^{45} + 12q^{49} - 4q^{50} + 12q^{54} + 92q^{55} - 94q^{59} + 4q^{60} - 60q^{61} + 12q^{64} - 44q^{65} - 8q^{66} + 16q^{70} - 16q^{74} + 4q^{75} - 16q^{76} + 172q^{79} + 8q^{80} - 12q^{81} - 32q^{85} - 40q^{86} + 48q^{89} - 4q^{90} + 288q^{91} + 24q^{94} - 78q^{95} - 12q^{96} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{3}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.989821 0.142315i −0.699909 0.100632i
\(3\) 0.909632 0.415415i 0.525176 0.239840i
\(4\) 0.959493 + 0.281733i 0.479746 + 0.140866i
\(5\) −2.09099 + 0.792321i −0.935118 + 0.354337i
\(6\) −0.959493 + 0.281733i −0.391711 + 0.115017i
\(7\) −0.378014 + 0.588202i −0.142876 + 0.222319i −0.905315 0.424741i \(-0.860365\pi\)
0.762439 + 0.647060i \(0.224002\pi\)
\(8\) −0.909632 0.415415i −0.321603 0.146871i
\(9\) 0.654861 0.755750i 0.218287 0.251917i
\(10\) 2.18246 0.486678i 0.690155 0.153901i
\(11\) −0.745698 5.18645i −0.224837 1.56377i −0.719378 0.694619i \(-0.755573\pi\)
0.494542 0.869154i \(-0.335336\pi\)
\(12\) 0.989821 0.142315i 0.285737 0.0410828i
\(13\) 1.92796 + 2.99996i 0.534719 + 0.832040i 0.998547 0.0538857i \(-0.0171607\pi\)
−0.463828 + 0.885925i \(0.653524\pi\)
\(14\) 0.457877 0.528418i 0.122373 0.141226i
\(15\) −1.57289 + 1.58935i −0.406118 + 0.410368i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) −0.765463 2.60693i −0.185652 0.632273i −0.998742 0.0501355i \(-0.984035\pi\)
0.813090 0.582138i \(-0.197783\pi\)
\(18\) −0.755750 + 0.654861i −0.178132 + 0.154352i
\(19\) −3.73394 1.09638i −0.856625 0.251528i −0.176208 0.984353i \(-0.556383\pi\)
−0.680417 + 0.732825i \(0.738201\pi\)
\(20\) −2.22951 + 0.171128i −0.498534 + 0.0382653i
\(21\) −0.0995061 + 0.692080i −0.0217140 + 0.151024i
\(22\) 5.23978i 1.11712i
\(23\) −0.308327 4.78591i −0.0642907 0.997931i
\(24\) −1.00000 −0.204124
\(25\) 3.74445 3.31347i 0.748891 0.662694i
\(26\) −1.48140 3.24380i −0.290526 0.636162i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) −0.528418 + 0.457877i −0.0998616 + 0.0865305i
\(29\) 8.22773 2.41588i 1.52785 0.448617i 0.593459 0.804864i \(-0.297762\pi\)
0.934392 + 0.356247i \(0.115944\pi\)
\(30\) 1.78306 1.34933i 0.325542 0.246352i
\(31\) 2.66056 5.82581i 0.477851 1.04635i −0.505198 0.863003i \(-0.668581\pi\)
0.983049 0.183344i \(-0.0586922\pi\)
\(32\) −0.755750 0.654861i −0.133599 0.115764i
\(33\) −2.83284 4.40798i −0.493134 0.767331i
\(34\) 0.386667 + 2.68933i 0.0663129 + 0.461216i
\(35\) 0.324378 1.52943i 0.0548299 0.258521i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) −4.34838 3.76789i −0.714870 0.619438i 0.219555 0.975600i \(-0.429540\pi\)
−0.934424 + 0.356162i \(0.884085\pi\)
\(38\) 3.53991 + 1.61662i 0.574249 + 0.262251i
\(39\) 2.99996 + 1.92796i 0.480378 + 0.308720i
\(40\) 2.23117 + 0.147906i 0.352779 + 0.0233861i
\(41\) −1.31526 1.51789i −0.205408 0.237054i 0.643693 0.765284i \(-0.277401\pi\)
−0.849101 + 0.528230i \(0.822856\pi\)
\(42\) 0.196987 0.670875i 0.0303957 0.103518i
\(43\) −4.36540 + 1.99361i −0.665718 + 0.304023i −0.719462 0.694532i \(-0.755612\pi\)
0.0537443 + 0.998555i \(0.482884\pi\)
\(44\) 0.745698 5.18645i 0.112418 0.781886i
\(45\) −0.770509 + 2.09912i −0.114861 + 0.312919i
\(46\) −0.375917 + 4.78108i −0.0554259 + 0.704931i
\(47\) 5.47253i 0.798250i −0.916896 0.399125i \(-0.869314\pi\)
0.916896 0.399125i \(-0.130686\pi\)
\(48\) 0.989821 + 0.142315i 0.142868 + 0.0205414i
\(49\) 2.70482 + 5.92273i 0.386403 + 0.846104i
\(50\) −4.17790 + 2.74685i −0.590844 + 0.388463i
\(51\) −1.77925 2.05336i −0.249144 0.287528i
\(52\) 1.00468 + 3.42161i 0.139323 + 0.474492i
\(53\) −1.05405 + 1.64013i −0.144784 + 0.225289i −0.906070 0.423128i \(-0.860932\pi\)
0.761286 + 0.648417i \(0.224569\pi\)
\(54\) −0.415415 + 0.909632i −0.0565308 + 0.123785i
\(55\) 5.66858 + 10.2540i 0.764351 + 1.38264i
\(56\) 0.588202 0.378014i 0.0786018 0.0505143i
\(57\) −3.85197 + 0.553830i −0.510206 + 0.0733565i
\(58\) −8.48780 + 1.22036i −1.11450 + 0.160241i
\(59\) −9.17993 + 5.89959i −1.19513 + 0.768061i −0.978106 0.208107i \(-0.933270\pi\)
−0.217020 + 0.976167i \(0.569634\pi\)
\(60\) −1.95694 + 1.08184i −0.252640 + 0.139664i
\(61\) 5.71509 12.5143i 0.731742 1.60229i −0.0649364 0.997889i \(-0.520684\pi\)
0.796679 0.604403i \(-0.206588\pi\)
\(62\) −3.46258 + 5.38788i −0.439748 + 0.684261i
\(63\) 0.196987 + 0.670875i 0.0248180 + 0.0845222i
\(64\) 0.654861 + 0.755750i 0.0818576 + 0.0944687i
\(65\) −6.40827 4.74532i −0.794848 0.588584i
\(66\) 2.17668 + 4.76627i 0.267931 + 0.586687i
\(67\) 3.44525 + 0.495352i 0.420904 + 0.0605169i 0.349513 0.936932i \(-0.386347\pi\)
0.0713911 + 0.997448i \(0.477256\pi\)
\(68\) 2.71699i 0.329483i
\(69\) −2.26860 4.22533i −0.273108 0.508670i
\(70\) −0.538737 + 1.46770i −0.0643914 + 0.175424i
\(71\) −0.0479933 + 0.333800i −0.00569575 + 0.0396148i −0.992471 0.122479i \(-0.960916\pi\)
0.986775 + 0.162094i \(0.0518247\pi\)
\(72\) −0.909632 + 0.415415i −0.107201 + 0.0489571i
\(73\) 3.65477 12.4470i 0.427759 1.45681i −0.410662 0.911788i \(-0.634702\pi\)
0.838420 0.545024i \(-0.183479\pi\)
\(74\) 3.76789 + 4.34838i 0.438009 + 0.505489i
\(75\) 2.02961 4.56954i 0.234359 0.527645i
\(76\) −3.27381 2.10395i −0.375531 0.241339i
\(77\) 3.33256 + 1.52193i 0.379781 + 0.173440i
\(78\) −2.69505 2.33527i −0.305154 0.264418i
\(79\) −3.98251 + 2.55940i −0.448067 + 0.287955i −0.745151 0.666896i \(-0.767622\pi\)
0.297083 + 0.954852i \(0.403986\pi\)
\(80\) −2.18741 0.463930i −0.244560 0.0518689i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) 1.08585 + 1.68962i 0.119912 + 0.186587i
\(83\) −12.2644 10.6272i −1.34620 1.16649i −0.970874 0.239592i \(-0.922986\pi\)
−0.375323 0.926894i \(-0.622468\pi\)
\(84\) −0.290457 + 0.636012i −0.0316914 + 0.0693946i
\(85\) 3.66610 + 4.84456i 0.397644 + 0.525466i
\(86\) 4.60469 1.35206i 0.496537 0.145796i
\(87\) 6.48061 5.61548i 0.694794 0.602043i
\(88\) −1.47622 + 5.02753i −0.157365 + 0.535937i
\(89\) 3.75816 + 8.22923i 0.398364 + 0.872296i 0.997433 + 0.0715990i \(0.0228102\pi\)
−0.599069 + 0.800697i \(0.704463\pi\)
\(90\) 1.06140 1.96810i 0.111882 0.207456i
\(91\) −2.49338 −0.261377
\(92\) 1.05251 4.67891i 0.109732 0.487810i
\(93\) 6.40458i 0.664124i
\(94\) −0.778822 + 5.41682i −0.0803293 + 0.558703i
\(95\) 8.67632 0.665957i 0.890171 0.0683258i
\(96\) −0.959493 0.281733i −0.0979278 0.0287542i
\(97\) −5.51857 + 4.78187i −0.560326 + 0.485525i −0.888364 0.459139i \(-0.848158\pi\)
0.328038 + 0.944664i \(0.393613\pi\)
\(98\) −1.83440 6.24738i −0.185302 0.631080i
\(99\) −4.40798 2.83284i −0.443019 0.284711i
\(100\) 4.52629 2.12431i 0.452629 0.212431i
\(101\) −7.49296 + 8.64734i −0.745578 + 0.860442i −0.994132 0.108176i \(-0.965499\pi\)
0.248554 + 0.968618i \(0.420045\pi\)
\(102\) 1.46891 + 2.28567i 0.145444 + 0.226315i
\(103\) 0.662661 0.0952763i 0.0652940 0.00938786i −0.109590 0.993977i \(-0.534954\pi\)
0.174884 + 0.984589i \(0.444045\pi\)
\(104\) −0.507504 3.52976i −0.0497648 0.346122i
\(105\) −0.340284 1.52597i −0.0332083 0.148920i
\(106\) 1.27673 1.47343i 0.124007 0.143112i
\(107\) 16.0338 + 7.32238i 1.55004 + 0.707881i 0.992498 0.122265i \(-0.0390157\pi\)
0.557546 + 0.830146i \(0.311743\pi\)
\(108\) 0.540641 0.841254i 0.0520232 0.0809497i
\(109\) 18.5700 5.45265i 1.77869 0.522269i 0.783598 0.621269i \(-0.213382\pi\)
0.995087 + 0.0989994i \(0.0315642\pi\)
\(110\) −4.15159 10.9563i −0.395839 1.04464i
\(111\) −5.52067 1.62101i −0.523998 0.153860i
\(112\) −0.636012 + 0.290457i −0.0600975 + 0.0274456i
\(113\) −8.26542 1.18839i −0.777546 0.111794i −0.257895 0.966173i \(-0.583029\pi\)
−0.519651 + 0.854379i \(0.673938\pi\)
\(114\) 3.89158 0.364480
\(115\) 4.43669 + 9.76298i 0.413723 + 0.910403i
\(116\) 8.57508 0.796176
\(117\) 3.52976 + 0.507504i 0.326327 + 0.0469187i
\(118\) 9.92609 4.53310i 0.913771 0.417305i
\(119\) 1.82276 + 0.535210i 0.167092 + 0.0490626i
\(120\) 2.09099 0.792321i 0.190880 0.0723287i
\(121\) −15.7887 + 4.63599i −1.43534 + 0.421454i
\(122\) −7.43789 + 11.5736i −0.673395 + 1.04782i
\(123\) −1.82695 0.834341i −0.164731 0.0752300i
\(124\) 4.19411 4.84026i 0.376642 0.434668i
\(125\) −5.20427 + 9.89523i −0.465484 + 0.885056i
\(126\) −0.0995061 0.692080i −0.00886471 0.0616554i
\(127\) 10.1325 1.45683i 0.899110 0.129273i 0.322765 0.946479i \(-0.395388\pi\)
0.576345 + 0.817206i \(0.304478\pi\)
\(128\) −0.540641 0.841254i −0.0477863 0.0743570i
\(129\) −3.14273 + 3.62691i −0.276702 + 0.319332i
\(130\) 5.66771 + 5.60901i 0.497091 + 0.491943i
\(131\) −9.08296 5.83726i −0.793582 0.510004i 0.0799340 0.996800i \(-0.474529\pi\)
−0.873516 + 0.486796i \(0.838165\pi\)
\(132\) −1.47622 5.02753i −0.128488 0.437590i
\(133\) 2.05638 1.78186i 0.178311 0.154507i
\(134\) −3.33968 0.980620i −0.288505 0.0847126i
\(135\) 0.171128 + 2.22951i 0.0147283 + 0.191886i
\(136\) −0.386667 + 2.68933i −0.0331565 + 0.230608i
\(137\) 5.08329i 0.434295i −0.976139 0.217148i \(-0.930325\pi\)
0.976139 0.217148i \(-0.0696753\pi\)
\(138\) 1.64418 + 4.50518i 0.139962 + 0.383506i
\(139\) −7.27060 −0.616684 −0.308342 0.951276i \(-0.599774\pi\)
−0.308342 + 0.951276i \(0.599774\pi\)
\(140\) 0.742129 1.37609i 0.0627214 0.116301i
\(141\) −2.27337 4.97799i −0.191452 0.419222i
\(142\) 0.0950095 0.323573i 0.00797302 0.0271536i
\(143\) 14.1215 12.2363i 1.18090 1.02325i
\(144\) 0.959493 0.281733i 0.0799577 0.0234777i
\(145\) −15.2899 + 11.5706i −1.26976 + 0.960884i
\(146\) −5.38896 + 11.8002i −0.445994 + 0.976590i
\(147\) 4.92078 + 4.26388i 0.405859 + 0.351679i
\(148\) −3.11070 4.84035i −0.255698 0.397874i
\(149\) 3.26584 + 22.7144i 0.267548 + 1.86084i 0.471514 + 0.881859i \(0.343708\pi\)
−0.203966 + 0.978978i \(0.565383\pi\)
\(150\) −2.65926 + 4.23418i −0.217128 + 0.345720i
\(151\) −8.86234 + 5.69548i −0.721207 + 0.463492i −0.849057 0.528302i \(-0.822829\pi\)
0.127849 + 0.991794i \(0.459193\pi\)
\(152\) 2.94106 + 2.54844i 0.238551 + 0.206706i
\(153\) −2.47146 1.12868i −0.199805 0.0912481i
\(154\) −3.08205 1.98071i −0.248359 0.159610i
\(155\) −0.947279 + 14.2897i −0.0760873 + 1.14778i
\(156\) 2.33527 + 2.69505i 0.186972 + 0.215777i
\(157\) −2.99734 + 10.2080i −0.239214 + 0.814688i 0.749126 + 0.662427i \(0.230474\pi\)
−0.988340 + 0.152261i \(0.951345\pi\)
\(158\) 4.30621 1.96658i 0.342584 0.156453i
\(159\) −0.277461 + 1.92978i −0.0220041 + 0.153042i
\(160\) 2.09912 + 0.770509i 0.165950 + 0.0609141i
\(161\) 2.93163 + 1.62778i 0.231045 + 0.128287i
\(162\) 1.00000i 0.0785674i
\(163\) −0.652108 0.0937589i −0.0510770 0.00734377i 0.116729 0.993164i \(-0.462759\pi\)
−0.167806 + 0.985820i \(0.553668\pi\)
\(164\) −0.834341 1.82695i −0.0651511 0.142661i
\(165\) 9.41597 + 6.97252i 0.733032 + 0.542810i
\(166\) 10.6272 + 12.2644i 0.824830 + 0.951905i
\(167\) −2.60631 8.87626i −0.201682 0.686866i −0.996765 0.0803657i \(-0.974391\pi\)
0.795083 0.606500i \(-0.207427\pi\)
\(168\) 0.378014 0.588202i 0.0291644 0.0453808i
\(169\) 0.117647 0.257611i 0.00904977 0.0198162i
\(170\) −2.93933 5.31699i −0.225436 0.407795i
\(171\) −3.27381 + 2.10395i −0.250354 + 0.160893i
\(172\) −4.75024 + 0.682982i −0.362202 + 0.0520769i
\(173\) 2.41967 0.347896i 0.183964 0.0264501i −0.0497169 0.998763i \(-0.515832\pi\)
0.233681 + 0.972313i \(0.424923\pi\)
\(174\) −7.21381 + 4.63604i −0.546878 + 0.351457i
\(175\) 0.533531 + 3.45503i 0.0403311 + 0.261176i
\(176\) 2.17668 4.76627i 0.164074 0.359271i
\(177\) −5.89959 + 9.17993i −0.443440 + 0.690006i
\(178\) −2.54877 8.68031i −0.191038 0.650617i
\(179\) 8.61580 + 9.94317i 0.643975 + 0.743187i 0.980072 0.198640i \(-0.0636525\pi\)
−0.336097 + 0.941827i \(0.609107\pi\)
\(180\) −1.33069 + 1.79702i −0.0991837 + 0.133942i
\(181\) 3.70354 + 8.10962i 0.275282 + 0.602783i 0.995891 0.0905581i \(-0.0288651\pi\)
−0.720609 + 0.693341i \(0.756138\pi\)
\(182\) 2.46800 + 0.354845i 0.182940 + 0.0263029i
\(183\) 13.7575i 1.01699i
\(184\) −1.70767 + 4.48150i −0.125891 + 0.330381i
\(185\) 12.0778 + 4.43330i 0.887977 + 0.325943i
\(186\) −0.911467 + 6.33939i −0.0668320 + 0.464827i
\(187\) −12.9499 + 5.91402i −0.946990 + 0.432476i
\(188\) 1.54179 5.25085i 0.112447 0.382958i
\(189\) 0.457877 + 0.528418i 0.0333056 + 0.0384367i
\(190\) −8.68278 0.575590i −0.629915 0.0417577i
\(191\) 11.2683 + 7.24171i 0.815347 + 0.523991i 0.880591 0.473878i \(-0.157146\pi\)
−0.0652440 + 0.997869i \(0.520783\pi\)
\(192\) 0.909632 + 0.415415i 0.0656470 + 0.0299800i
\(193\) 14.6648 + 12.7071i 1.05560 + 0.914679i 0.996502 0.0835731i \(-0.0266332\pi\)
0.0590945 + 0.998252i \(0.481179\pi\)
\(194\) 6.14293 3.94782i 0.441037 0.283437i
\(195\) −7.80044 1.65440i −0.558601 0.118474i
\(196\) 0.926630 + 6.44485i 0.0661878 + 0.460346i
\(197\) 9.87333 + 15.3632i 0.703446 + 1.09458i 0.990612 + 0.136702i \(0.0436504\pi\)
−0.287166 + 0.957881i \(0.592713\pi\)
\(198\) 3.95996 + 3.43133i 0.281422 + 0.243854i
\(199\) 5.07810 11.1195i 0.359977 0.788240i −0.639828 0.768518i \(-0.720995\pi\)
0.999806 0.0197220i \(-0.00627811\pi\)
\(200\) −4.78254 + 1.45853i −0.338177 + 0.103134i
\(201\) 3.33968 0.980620i 0.235563 0.0691676i
\(202\) 8.64734 7.49296i 0.608425 0.527203i
\(203\) −1.68917 + 5.75280i −0.118557 + 0.403768i
\(204\) −1.12868 2.47146i −0.0790232 0.173037i
\(205\) 3.95284 + 2.13177i 0.276078 + 0.148890i
\(206\) −0.669476 −0.0466446
\(207\) −3.81886 2.90109i −0.265429 0.201639i
\(208\) 3.56606i 0.247262i
\(209\) −2.90194 + 20.1835i −0.200732 + 1.39612i
\(210\) 0.119652 + 1.55887i 0.00825677 + 0.107572i
\(211\) 17.9165 + 5.26076i 1.23342 + 0.362166i 0.832541 0.553964i \(-0.186885\pi\)
0.400883 + 0.916129i \(0.368704\pi\)
\(212\) −1.47343 + 1.27673i −0.101195 + 0.0876864i
\(213\) 0.0950095 + 0.323573i 0.00650994 + 0.0221708i
\(214\) −14.8285 9.52969i −1.01365 0.651436i
\(215\) 7.54842 7.62742i 0.514798 0.520186i
\(216\) −0.654861 + 0.755750i −0.0445576 + 0.0514222i
\(217\) 2.42103 + 3.76719i 0.164350 + 0.255733i
\(218\) −19.1570 + 2.75436i −1.29748 + 0.186549i
\(219\) −1.84618 12.8404i −0.124753 0.867677i
\(220\) 2.55009 + 11.4356i 0.171927 + 0.770990i
\(221\) 6.34491 7.32241i 0.426805 0.492559i
\(222\) 5.23378 + 2.39019i 0.351268 + 0.160419i
\(223\) −4.19821 + 6.53253i −0.281133 + 0.437451i −0.952888 0.303322i \(-0.901904\pi\)
0.671755 + 0.740773i \(0.265541\pi\)
\(224\) 0.670875 0.196987i 0.0448247 0.0131617i
\(225\) −0.0520564 4.99973i −0.00347043 0.333315i
\(226\) 8.01217 + 2.35259i 0.532962 + 0.156492i
\(227\) 0.0690392 0.0315291i 0.00458229 0.00209266i −0.413123 0.910675i \(-0.635562\pi\)
0.417705 + 0.908583i \(0.362835\pi\)
\(228\) −3.85197 0.553830i −0.255103 0.0366783i
\(229\) −14.6648 −0.969081 −0.484540 0.874769i \(-0.661013\pi\)
−0.484540 + 0.874769i \(0.661013\pi\)
\(230\) −3.00211 10.2950i −0.197953 0.678833i
\(231\) 3.66364 0.241050
\(232\) −8.48780 1.22036i −0.557251 0.0801206i
\(233\) −15.6535 + 7.14871i −1.02549 + 0.468328i −0.855875 0.517182i \(-0.826981\pi\)
−0.169619 + 0.985510i \(0.554254\pi\)
\(234\) −3.42161 1.00468i −0.223678 0.0656777i
\(235\) 4.33600 + 11.4430i 0.282849 + 0.746458i
\(236\) −10.4702 + 3.07432i −0.681551 + 0.200121i
\(237\) −2.55940 + 3.98251i −0.166251 + 0.258692i
\(238\) −1.72804 0.789167i −0.112012 0.0511541i
\(239\) 2.66870 3.07985i 0.172624 0.199219i −0.662844 0.748757i \(-0.730651\pi\)
0.835468 + 0.549538i \(0.185196\pi\)
\(240\) −2.18246 + 0.486678i −0.140877 + 0.0314149i
\(241\) −3.41098 23.7239i −0.219720 1.52819i −0.739071 0.673627i \(-0.764735\pi\)
0.519351 0.854561i \(-0.326174\pi\)
\(242\) 16.2878 2.34183i 1.04702 0.150539i
\(243\) −0.540641 0.841254i −0.0346821 0.0539664i
\(244\) 9.00928 10.3973i 0.576760 0.665616i
\(245\) −10.3484 10.2413i −0.661138 0.654290i
\(246\) 1.68962 + 1.08585i 0.107726 + 0.0692313i
\(247\) −3.90978 13.3155i −0.248773 0.847243i
\(248\) −4.84026 + 4.19411i −0.307357 + 0.266326i
\(249\) −15.5708 4.57201i −0.986761 0.289739i
\(250\) 6.55954 9.05386i 0.414862 0.572617i
\(251\) −0.237575 + 1.65237i −0.0149956 + 0.104297i −0.995945 0.0899689i \(-0.971323\pi\)
0.980949 + 0.194265i \(0.0622323\pi\)
\(252\) 0.699197i 0.0440453i
\(253\) −24.5919 + 5.16797i −1.54608 + 0.324907i
\(254\) −10.2367 −0.642305
\(255\) 5.34730 + 2.88381i 0.334861 + 0.180591i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) −2.45152 + 8.34913i −0.152922 + 0.520804i −0.999942 0.0107565i \(-0.996576\pi\)
0.847020 + 0.531561i \(0.178394\pi\)
\(258\) 3.62691 3.14273i 0.225801 0.195658i
\(259\) 3.86003 1.13341i 0.239851 0.0704265i
\(260\) −4.81178 6.35852i −0.298414 0.394339i
\(261\) 3.56222 7.80017i 0.220496 0.482818i
\(262\) 8.15978 + 7.07049i 0.504113 + 0.436816i
\(263\) −9.90143 15.4069i −0.610548 0.950032i −0.999585 0.0288094i \(-0.990828\pi\)
0.389037 0.921222i \(-0.372808\pi\)
\(264\) 0.745698 + 5.18645i 0.0458946 + 0.319204i
\(265\) 0.904489 4.26463i 0.0555623 0.261974i
\(266\) −2.28903 + 1.47107i −0.140350 + 0.0901973i
\(267\) 6.83709 + 5.92437i 0.418423 + 0.362566i
\(268\) 3.16613 + 1.44593i 0.193402 + 0.0883239i
\(269\) 11.1820 + 7.18625i 0.681780 + 0.438153i 0.835155 0.550015i \(-0.185378\pi\)
−0.153375 + 0.988168i \(0.549014\pi\)
\(270\) 0.147906 2.23117i 0.00900130 0.135785i
\(271\) −1.23019 1.41971i −0.0747286 0.0862414i 0.717154 0.696915i \(-0.245444\pi\)
−0.791883 + 0.610673i \(0.790899\pi\)
\(272\) 0.765463 2.60693i 0.0464130 0.158068i
\(273\) −2.26806 + 1.03579i −0.137269 + 0.0626887i
\(274\) −0.723428 + 5.03155i −0.0437039 + 0.303967i
\(275\) −19.9774 16.9496i −1.20468 1.02210i
\(276\) −0.986295 4.69332i −0.0593680 0.282504i
\(277\) 15.2176i 0.914338i 0.889380 + 0.457169i \(0.151137\pi\)
−0.889380 + 0.457169i \(0.848863\pi\)
\(278\) 7.19659 + 1.03471i 0.431623 + 0.0620580i
\(279\) −2.66056 5.82581i −0.159284 0.348782i
\(280\) −0.930414 + 1.25647i −0.0556028 + 0.0750883i
\(281\) 11.4483 + 13.2120i 0.682947 + 0.788163i 0.986343 0.164702i \(-0.0526661\pi\)
−0.303397 + 0.952864i \(0.598121\pi\)
\(282\) 1.54179 + 5.25085i 0.0918122 + 0.312684i
\(283\) 10.4488 16.2587i 0.621118 0.966479i −0.378054 0.925784i \(-0.623406\pi\)
0.999172 0.0406948i \(-0.0129571\pi\)
\(284\) −0.140092 + 0.306758i −0.00831291 + 0.0182027i
\(285\) 7.61561 4.21005i 0.451110 0.249382i
\(286\) −15.7191 + 10.1021i −0.929492 + 0.597348i
\(287\) 1.39001 0.199853i 0.0820496 0.0117970i
\(288\) −0.989821 + 0.142315i −0.0583258 + 0.00838598i
\(289\) 8.09117 5.19988i 0.475951 0.305875i
\(290\) 16.7810 9.27682i 0.985412 0.544754i
\(291\) −3.03341 + 6.64224i −0.177822 + 0.389375i
\(292\) 7.01345 10.9131i 0.410431 0.638644i
\(293\) −8.18543 27.8770i −0.478198 1.62859i −0.746591 0.665283i \(-0.768311\pi\)
0.268394 0.963309i \(-0.413507\pi\)
\(294\) −4.26388 4.92078i −0.248674 0.286986i
\(295\) 14.5208 19.6094i 0.845431 1.14170i
\(296\) 2.39019 + 5.23378i 0.138927 + 0.304207i
\(297\) −5.18645 0.745698i −0.300948 0.0432698i
\(298\) 22.9480i 1.32934i
\(299\) 13.7631 10.1520i 0.795941 0.587106i
\(300\) 3.23478 3.81263i 0.186760 0.220122i
\(301\) 0.477539 3.32135i 0.0275249 0.191440i
\(302\) 9.58269 4.37627i 0.551422 0.251826i
\(303\) −3.22360 + 10.9786i −0.185191 + 0.630703i
\(304\) −2.54844 2.94106i −0.146163 0.168681i
\(305\) −2.03483 + 30.6954i −0.116514 + 1.75762i
\(306\) 2.28567 + 1.46891i 0.130663 + 0.0839722i
\(307\) −15.5716 7.11132i −0.888719 0.405864i −0.0818844 0.996642i \(-0.526094\pi\)
−0.806835 + 0.590778i \(0.798821\pi\)
\(308\) 2.76879 + 2.39917i 0.157767 + 0.136706i
\(309\) 0.563199 0.361946i 0.0320393 0.0205904i
\(310\) 2.97128 14.0095i 0.168757 0.795684i
\(311\) −2.93809 20.4349i −0.166604 1.15876i −0.885840 0.463991i \(-0.846417\pi\)
0.719236 0.694766i \(-0.244492\pi\)
\(312\) −1.92796 2.99996i −0.109149 0.169839i
\(313\) 10.1029 + 8.75417i 0.571047 + 0.494815i 0.891850 0.452331i \(-0.149407\pi\)
−0.320803 + 0.947146i \(0.603953\pi\)
\(314\) 4.41959 9.67754i 0.249412 0.546135i
\(315\) −0.943445 1.24671i −0.0531571 0.0702443i
\(316\) −4.54226 + 1.33373i −0.255522 + 0.0750280i
\(317\) 2.29903 1.99212i 0.129126 0.111888i −0.587904 0.808931i \(-0.700047\pi\)
0.717030 + 0.697043i \(0.245501\pi\)
\(318\) 0.549273 1.87065i 0.0308017 0.104901i
\(319\) −18.6652 40.8711i −1.04505 2.28834i
\(320\) −1.96810 1.06140i −0.110020 0.0593342i
\(321\) 17.6267 0.983824
\(322\) −2.67014 2.02843i −0.148801 0.113040i
\(323\) 10.5734i 0.588318i
\(324\) 0.142315 0.989821i 0.00790638 0.0549901i
\(325\) 17.1594 + 4.84499i 0.951834 + 0.268752i
\(326\) 0.632127 + 0.185609i 0.0350103 + 0.0102799i
\(327\) 14.6268 12.6742i 0.808862 0.700883i
\(328\) 0.565846 + 1.92709i 0.0312436 + 0.106406i
\(329\) 3.21895 + 2.06869i 0.177467 + 0.114051i
\(330\) −8.32784 8.24158i −0.458432 0.453684i
\(331\) 9.23796 10.6612i 0.507764 0.585991i −0.442760 0.896640i \(-0.646001\pi\)
0.950525 + 0.310649i \(0.100546\pi\)
\(332\) −8.77361 13.6520i −0.481515 0.749251i
\(333\) −5.69517 + 0.818842i −0.312093 + 0.0448722i
\(334\) 1.31655 + 9.15683i 0.0720386 + 0.501039i
\(335\) −7.59645 + 1.69397i −0.415038 + 0.0925514i
\(336\) −0.457877 + 0.528418i −0.0249792 + 0.0288276i
\(337\) −16.3025 7.44512i −0.888056 0.405562i −0.0814681 0.996676i \(-0.525961\pi\)
−0.806588 + 0.591114i \(0.798688\pi\)
\(338\) −0.153111 + 0.238246i −0.00832816 + 0.0129589i
\(339\) −8.01217 + 2.35259i −0.435161 + 0.127775i
\(340\) 2.15273 + 5.68118i 0.116748 + 0.308105i
\(341\) −32.1993 9.45455i −1.74369 0.511993i
\(342\) 3.53991 1.61662i 0.191416 0.0874168i
\(343\) −9.35078 1.34444i −0.504895 0.0725929i
\(344\) 4.79909 0.258750
\(345\) 8.09144 + 7.03765i 0.435629 + 0.378895i
\(346\) −2.44455 −0.131420
\(347\) −6.59279 0.947901i −0.353920 0.0508860i −0.0369378 0.999318i \(-0.511760\pi\)
−0.316982 + 0.948432i \(0.602669\pi\)
\(348\) 7.80017 3.56222i 0.418133 0.190955i
\(349\) −15.3854 4.51755i −0.823559 0.241819i −0.157311 0.987549i \(-0.550283\pi\)
−0.666248 + 0.745730i \(0.732101\pi\)
\(350\) −0.0363977 3.49580i −0.00194554 0.186858i
\(351\) 3.42161 1.00468i 0.182632 0.0536256i
\(352\) −2.83284 + 4.40798i −0.150991 + 0.234946i
\(353\) 6.70203 + 3.06071i 0.356713 + 0.162905i 0.585708 0.810522i \(-0.300817\pi\)
−0.228995 + 0.973428i \(0.573544\pi\)
\(354\) 7.14598 8.24690i 0.379804 0.438318i
\(355\) −0.164124 0.735998i −0.00871080 0.0390627i
\(356\) 1.28749 + 8.95468i 0.0682368 + 0.474597i
\(357\) 1.88037 0.270357i 0.0995198 0.0143088i
\(358\) −7.11305 11.0681i −0.375936 0.584968i
\(359\) 16.4979 19.0396i 0.870725 1.00487i −0.129187 0.991620i \(-0.541237\pi\)
0.999912 0.0132499i \(-0.00421770\pi\)
\(360\) 1.57289 1.58935i 0.0828984 0.0837660i
\(361\) −3.24354 2.08450i −0.170713 0.109710i
\(362\) −2.51172 8.55414i −0.132013 0.449596i
\(363\) −12.4361 + 10.7759i −0.652725 + 0.565589i
\(364\) −2.39238 0.702466i −0.125395 0.0368192i
\(365\) 2.21995 + 28.9223i 0.116198 + 1.51386i
\(366\) −1.95790 + 13.6175i −0.102341 + 0.711799i
\(367\) 24.9237i 1.30100i −0.759505 0.650502i \(-0.774559\pi\)
0.759505 0.650502i \(-0.225441\pi\)
\(368\) 2.32808 4.19286i 0.121359 0.218568i
\(369\) −2.00845 −0.104556
\(370\) −11.3239 6.10703i −0.588703 0.317489i
\(371\) −0.566282 1.23998i −0.0293999 0.0643768i
\(372\) 1.80438 6.14515i 0.0935527 0.318611i
\(373\) −8.54253 + 7.40214i −0.442315 + 0.383268i −0.847352 0.531032i \(-0.821804\pi\)
0.405036 + 0.914301i \(0.367259\pi\)
\(374\) 13.6597 4.01086i 0.706328 0.207397i
\(375\) −0.623345 + 11.1629i −0.0321894 + 0.576452i
\(376\) −2.27337 + 4.97799i −0.117240 + 0.256720i
\(377\) 23.1103 + 20.0252i 1.19024 + 1.03135i
\(378\) −0.378014 0.588202i −0.0194430 0.0302538i
\(379\) 3.30677 + 22.9991i 0.169857 + 1.18138i 0.879177 + 0.476496i \(0.158093\pi\)
−0.709319 + 0.704887i \(0.750998\pi\)
\(380\) 8.51249 + 1.80542i 0.436681 + 0.0926161i
\(381\) 8.61162 5.53435i 0.441187 0.283533i
\(382\) −10.1230 8.77164i −0.517939 0.448796i
\(383\) 32.8631 + 15.0081i 1.67923 + 0.766877i 0.999440 + 0.0334683i \(0.0106553\pi\)
0.679788 + 0.733409i \(0.262072\pi\)
\(384\) −0.841254 0.540641i −0.0429300 0.0275895i
\(385\) −8.17420 0.541876i −0.416596 0.0276165i
\(386\) −12.7071 14.6648i −0.646776 0.746419i
\(387\) −1.35206 + 4.60469i −0.0687290 + 0.234070i
\(388\) −6.64224 + 3.03341i −0.337209 + 0.153998i
\(389\) 0.329297 2.29031i 0.0166960 0.116123i −0.979769 0.200132i \(-0.935863\pi\)
0.996465 + 0.0840081i \(0.0267721\pi\)
\(390\) 7.48560 + 2.74768i 0.379048 + 0.139134i
\(391\) −12.2405 + 4.46723i −0.619029 + 0.225917i
\(392\) 6.51112i 0.328861i
\(393\) −10.6870 1.53656i −0.539090 0.0775094i
\(394\) −7.58642 16.6119i −0.382198 0.836898i
\(395\) 6.29950 8.50711i 0.316962 0.428039i
\(396\) −3.43133 3.95996i −0.172431 0.198996i
\(397\) −9.32110 31.7448i −0.467813 1.59322i −0.768730 0.639574i \(-0.779111\pi\)
0.300917 0.953650i \(-0.402707\pi\)
\(398\) −6.60888 + 10.2836i −0.331273 + 0.515471i
\(399\) 1.13034 2.47509i 0.0565876 0.123910i
\(400\) 4.94143 0.763062i 0.247072 0.0381531i
\(401\) −5.41843 + 3.48222i −0.270584 + 0.173894i −0.668895 0.743357i \(-0.733233\pi\)
0.398312 + 0.917250i \(0.369596\pi\)
\(402\) −3.44525 + 0.495352i −0.171833 + 0.0247059i
\(403\) 22.6067 3.25035i 1.12612 0.161911i
\(404\) −9.62568 + 6.18605i −0.478896 + 0.307767i
\(405\) 1.08184 + 1.95694i 0.0537568 + 0.0972414i
\(406\) 2.49069 5.45385i 0.123611 0.270670i
\(407\) −16.2994 + 25.3624i −0.807931 + 1.25717i
\(408\) 0.765463 + 2.60693i 0.0378961 + 0.129062i
\(409\) −13.1488 15.1745i −0.650166 0.750332i 0.330972 0.943641i \(-0.392623\pi\)
−0.981138 + 0.193309i \(0.938078\pi\)
\(410\) −3.60922 2.67262i −0.178247 0.131991i
\(411\) −2.11168 4.62393i −0.104161 0.228082i
\(412\) 0.662661 + 0.0952763i 0.0326470 + 0.00469393i
\(413\) 7.62978i 0.375437i
\(414\) 3.36712 + 3.41504i 0.165485 + 0.167840i
\(415\) 34.0649 + 12.5040i 1.67218 + 0.613795i
\(416\) 0.507504 3.52976i 0.0248824 0.173061i
\(417\) −6.61357 + 3.02031i −0.323868 + 0.147905i
\(418\) 5.74481 19.5650i 0.280988 0.956957i
\(419\) −3.11298 3.59257i −0.152079 0.175509i 0.674598 0.738185i \(-0.264317\pi\)
−0.826677 + 0.562677i \(0.809772\pi\)
\(420\) 0.103416 1.56003i 0.00504617 0.0761216i
\(421\) 7.03159 + 4.51893i 0.342699 + 0.220239i 0.700657 0.713499i \(-0.252890\pi\)
−0.357958 + 0.933738i \(0.616527\pi\)
\(422\) −16.9855 7.75700i −0.826839 0.377605i
\(423\) −4.13586 3.58374i −0.201092 0.174248i
\(424\) 1.64013 1.05405i 0.0796517 0.0511890i
\(425\) −11.5042 7.22518i −0.558036 0.350473i
\(426\) −0.0479933 0.333800i −0.00232528 0.0161727i
\(427\) 5.20055 + 8.09221i 0.251672 + 0.391610i
\(428\) 13.3213 + 11.5430i 0.643911 + 0.557952i
\(429\) 7.76219 16.9968i 0.374762 0.820614i
\(430\) −8.55708 + 6.47553i −0.412659 + 0.312278i
\(431\) 12.5236 3.67727i 0.603242 0.177128i 0.0341706 0.999416i \(-0.489121\pi\)
0.569071 + 0.822288i \(0.307303\pi\)
\(432\) 0.755750 0.654861i 0.0363610 0.0315070i
\(433\) 0.235621 0.802452i 0.0113232 0.0385634i −0.953638 0.300957i \(-0.902694\pi\)
0.964961 + 0.262394i \(0.0845120\pi\)
\(434\) −1.86026 4.07339i −0.0892951 0.195529i
\(435\) −9.10161 + 16.8766i −0.436389 + 0.809172i
\(436\) 19.3540 0.926888
\(437\) −4.09592 + 18.2084i −0.195935 + 0.871024i
\(438\) 12.9725i 0.619849i
\(439\) −2.32546 + 16.1739i −0.110988 + 0.771940i 0.855974 + 0.517020i \(0.172959\pi\)
−0.966962 + 0.254921i \(0.917951\pi\)
\(440\) −0.896672 11.6821i −0.0427471 0.556924i
\(441\) 6.24738 + 1.83440i 0.297494 + 0.0873522i
\(442\) −7.32241 + 6.34491i −0.348292 + 0.301796i
\(443\) 1.27270 + 4.33442i 0.0604678 + 0.205935i 0.984186 0.177138i \(-0.0566840\pi\)
−0.923718 + 0.383073i \(0.874866\pi\)
\(444\) −4.84035 3.11070i −0.229713 0.147627i
\(445\) −14.3785 14.2295i −0.681604 0.674545i
\(446\) 5.08515 5.86858i 0.240789 0.277885i
\(447\) 12.4066 + 19.3051i 0.586813 + 0.913099i
\(448\) −0.692080 + 0.0995061i −0.0326977 + 0.00470122i
\(449\) 1.69888 + 11.8159i 0.0801749 + 0.557628i 0.989829 + 0.142262i \(0.0454376\pi\)
−0.909654 + 0.415366i \(0.863653\pi\)
\(450\) −0.660009 + 4.95625i −0.0311131 + 0.233640i
\(451\) −6.89165 + 7.95339i −0.324515 + 0.374510i
\(452\) −7.59581 3.46889i −0.357277 0.163163i
\(453\) −5.69548 + 8.86234i −0.267597 + 0.416389i
\(454\) −0.0728235 + 0.0213829i −0.00341778 + 0.00100355i
\(455\) 5.21362 1.97556i 0.244418 0.0926156i
\(456\) 3.73394 + 1.09638i 0.174858 + 0.0513429i
\(457\) −11.1120 + 5.07468i −0.519797 + 0.237383i −0.657996 0.753021i \(-0.728596\pi\)
0.138199 + 0.990404i \(0.455869\pi\)
\(458\) 14.5156 + 2.08703i 0.678269 + 0.0975203i
\(459\) −2.71699 −0.126818
\(460\) 1.50642 + 10.6175i 0.0702372 + 0.495042i
\(461\) −26.9976 −1.25740 −0.628701 0.777647i \(-0.716413\pi\)
−0.628701 + 0.777647i \(0.716413\pi\)
\(462\) −3.62635 0.521390i −0.168713 0.0242573i
\(463\) 10.4920 4.79156i 0.487607 0.222683i −0.156413 0.987692i \(-0.549993\pi\)
0.644019 + 0.765009i \(0.277266\pi\)
\(464\) 8.22773 + 2.41588i 0.381963 + 0.112154i
\(465\) 5.07449 + 13.3919i 0.235324 + 0.621035i
\(466\) 16.5115 4.84822i 0.764882 0.224590i
\(467\) −9.48329 + 14.7563i −0.438834 + 0.682839i −0.988273 0.152694i \(-0.951205\pi\)
0.549439 + 0.835534i \(0.314841\pi\)
\(468\) 3.24380 + 1.48140i 0.149945 + 0.0684775i
\(469\) −1.59372 + 1.83925i −0.0735912 + 0.0849287i
\(470\) −2.66336 11.9436i −0.122852 0.550917i
\(471\) 1.51408 + 10.5307i 0.0697652 + 0.485228i
\(472\) 10.8011 1.55297i 0.497163 0.0714812i
\(473\) 13.5950 + 21.1543i 0.625101 + 0.972676i
\(474\) 3.10012 3.57773i 0.142393 0.164331i
\(475\) −17.6144 + 8.26694i −0.808205 + 0.379313i
\(476\) 1.59814 + 1.02706i 0.0732504 + 0.0470752i
\(477\) 0.549273 + 1.87065i 0.0251495 + 0.0856512i
\(478\) −3.07985 + 2.66870i −0.140869 + 0.122064i
\(479\) −6.31947 1.85556i −0.288744 0.0847829i 0.134153 0.990961i \(-0.457169\pi\)
−0.422897 + 0.906178i \(0.638987\pi\)
\(480\) 2.22951 0.171128i 0.101763 0.00781088i
\(481\) 2.92004 20.3093i 0.133142 0.926025i
\(482\) 23.9678i 1.09170i
\(483\) 3.34291 + 0.262840i 0.152108 + 0.0119596i
\(484\) −16.4553 −0.747968
\(485\) 7.75048 14.3713i 0.351931 0.652568i
\(486\) 0.415415 + 0.909632i 0.0188436 + 0.0412617i
\(487\) 10.8847 37.0698i 0.493232 1.67979i −0.217281 0.976109i \(-0.569719\pi\)
0.710513 0.703684i \(-0.248463\pi\)
\(488\) −10.3973 + 9.00928i −0.470662 + 0.407831i
\(489\) −0.632127 + 0.185609i −0.0285858 + 0.00839354i
\(490\) 8.78563 + 11.6098i 0.396894 + 0.524475i
\(491\) 12.1731 26.6554i 0.549365 1.20294i −0.407713 0.913110i \(-0.633674\pi\)
0.957078 0.289831i \(-0.0935992\pi\)
\(492\) −1.51789 1.31526i −0.0684316 0.0592963i
\(493\) −12.5960 19.5998i −0.567297 0.882732i
\(494\) 1.97499 + 13.7364i 0.0888590 + 0.618028i
\(495\) 11.4616 + 2.43089i 0.515159 + 0.109260i
\(496\) 5.38788 3.46258i 0.241923 0.155474i
\(497\) −0.178200 0.154411i −0.00799336 0.00692628i
\(498\) 14.7617 + 6.74143i 0.661486 + 0.302091i
\(499\) −3.82672 2.45928i −0.171307 0.110093i 0.452177 0.891928i \(-0.350647\pi\)
−0.623485 + 0.781835i \(0.714284\pi\)
\(500\) −7.78127 + 8.02819i −0.347989 + 0.359032i
\(501\) −6.05811 6.99143i −0.270656 0.312354i
\(502\) 0.470313 1.60174i 0.0209911 0.0714891i
\(503\) −6.79778 + 3.10444i −0.303098 + 0.138420i −0.561158 0.827709i \(-0.689644\pi\)
0.258060 + 0.966129i \(0.416917\pi\)
\(504\) 0.0995061 0.692080i 0.00443235 0.0308277i
\(505\) 8.81621 24.0183i 0.392316 1.06880i
\(506\) 25.0771 1.61557i 1.11481 0.0718207i
\(507\) 0.283203i 0.0125775i
\(508\) 10.1325 + 1.45683i 0.449555 + 0.0646363i
\(509\) 18.7127 + 40.9751i 0.829426 + 1.81619i 0.467580 + 0.883951i \(0.345126\pi\)
0.361846 + 0.932238i \(0.382147\pi\)
\(510\) −4.88247 3.61546i −0.216199 0.160095i
\(511\) 5.93980 + 6.85489i 0.262761 + 0.303242i
\(512\) −0.281733 0.959493i −0.0124509 0.0424040i
\(513\) −2.10395 + 3.27381i −0.0928915 + 0.144542i
\(514\) 3.61478 7.91526i 0.159441 0.349127i
\(515\) −1.31013 + 0.724262i −0.0577311 + 0.0319148i
\(516\) −4.03725 + 2.59458i −0.177730 + 0.114220i
\(517\) −28.3830 + 4.08085i −1.24828 + 0.179476i
\(518\) −3.98204 + 0.572532i −0.174961 + 0.0251556i
\(519\) 2.05649 1.32163i 0.0902698 0.0580129i
\(520\) 3.85789 + 6.97859i 0.169180 + 0.306031i
\(521\) 8.96959 19.6407i 0.392965 0.860473i −0.604970 0.796248i \(-0.706815\pi\)
0.997935 0.0642254i \(-0.0204577\pi\)
\(522\) −4.63604 + 7.21381i −0.202914 + 0.315740i
\(523\) 10.1525 + 34.5763i 0.443938 + 1.51191i 0.812863 + 0.582455i \(0.197908\pi\)
−0.368924 + 0.929459i \(0.620274\pi\)
\(524\) −7.07049 8.15978i −0.308876 0.356461i
\(525\) 1.92059 + 2.92117i 0.0838214 + 0.127490i
\(526\) 7.60801 + 16.6592i 0.331725 + 0.726377i
\(527\) −17.2240 2.47644i −0.750291 0.107876i
\(528\) 5.23978i 0.228032i
\(529\) −22.8099 + 2.95125i −0.991733 + 0.128315i
\(530\) −1.50220 + 4.09250i −0.0652515 + 0.177767i
\(531\) −1.55297 + 10.8011i −0.0673931 + 0.468729i
\(532\) 2.47509 1.13034i 0.107309 0.0490063i
\(533\) 2.01784 6.87214i 0.0874024 0.297665i
\(534\) −5.92437 6.83709i −0.256373 0.295870i
\(535\) −39.3281 2.60710i −1.70030 0.112715i
\(536\) −2.92813 1.88180i −0.126476 0.0812812i
\(537\) 11.9678 + 5.46549i 0.516447 + 0.235853i
\(538\) −10.0455 8.70447i −0.433092 0.375276i
\(539\) 28.7009 18.4450i 1.23624 0.794481i
\(540\) −0.463930 + 2.18741i −0.0199644 + 0.0941312i
\(541\) −0.764317 5.31594i −0.0328606 0.228550i 0.966772 0.255638i \(-0.0822856\pi\)
−0.999633 + 0.0270881i \(0.991377\pi\)
\(542\) 1.01562 + 1.58034i 0.0436246 + 0.0678812i
\(543\) 6.73772 + 5.83826i 0.289143 + 0.250544i
\(544\) −1.12868 + 2.47146i −0.0483916 + 0.105963i
\(545\) −34.5094 + 26.1148i −1.47822 + 1.11864i
\(546\) 2.39238 0.702466i 0.102384 0.0300628i
\(547\) 14.8188 12.8406i 0.633608 0.549024i −0.277743 0.960656i \(-0.589586\pi\)
0.911351 + 0.411631i \(0.135041\pi\)
\(548\) 1.43213 4.87739i 0.0611775 0.208352i
\(549\) −5.71509 12.5143i −0.243914 0.534097i
\(550\) 17.3618 + 19.6201i 0.740311 + 0.836604i
\(551\) −33.3706 −1.42164
\(552\) 0.308327 + 4.78591i 0.0131233 + 0.203702i
\(553\) 3.31001i 0.140756i
\(554\) 2.16569 15.0627i 0.0920115 0.639954i
\(555\) 12.8280 0.984624i 0.544519 0.0417949i
\(556\) −6.97609 2.04836i −0.295852 0.0868700i
\(557\) 5.70848 4.94643i 0.241876 0.209587i −0.525484 0.850804i \(-0.676116\pi\)
0.767360 + 0.641217i \(0.221570\pi\)
\(558\) 1.80438 + 6.14515i 0.0763855 + 0.260145i
\(559\) −14.3971 9.25244i −0.608932 0.391337i
\(560\) 1.09976 1.11127i 0.0464732 0.0469596i
\(561\) −9.32286 + 10.7592i −0.393612 + 0.454252i
\(562\) −9.45148 14.7068i −0.398687 0.620369i
\(563\) −9.00327 + 1.29448i −0.379443 + 0.0545556i −0.329398 0.944191i \(-0.606846\pi\)
−0.0500452 + 0.998747i \(0.515937\pi\)
\(564\) −0.778822 5.41682i −0.0327943 0.228089i
\(565\) 18.2245 4.06397i 0.766710 0.170972i
\(566\) −12.6563 + 14.6062i −0.531985 + 0.613943i
\(567\) 0.636012 + 0.290457i 0.0267100 + 0.0121980i
\(568\) 0.182322 0.283698i 0.00765006 0.0119037i
\(569\) −1.36234 + 0.400018i −0.0571121 + 0.0167696i −0.310164 0.950683i \(-0.600384\pi\)
0.253052 + 0.967453i \(0.418566\pi\)
\(570\) −8.13724 + 3.08338i −0.340832 + 0.129149i
\(571\) −34.9130 10.2514i −1.46106 0.429007i −0.547880 0.836557i \(-0.684565\pi\)
−0.913183 + 0.407550i \(0.866383\pi\)
\(572\) 16.9968 7.76219i 0.710673 0.324553i
\(573\) 13.2583 + 1.90626i 0.553875 + 0.0796352i
\(574\) −1.40430 −0.0586145
\(575\) −17.0125 16.8990i −0.709469 0.704736i
\(576\) 1.00000 0.0416667
\(577\) 37.8576 + 5.44311i 1.57603 + 0.226600i 0.874137 0.485679i \(-0.161428\pi\)
0.701897 + 0.712278i \(0.252337\pi\)
\(578\) −8.74883 + 3.99546i −0.363903 + 0.166189i
\(579\) 18.6183 + 5.46683i 0.773751 + 0.227194i
\(580\) −17.9304 + 6.79422i −0.744518 + 0.282115i
\(581\) 10.8871 3.19673i 0.451672 0.132623i
\(582\) 3.94782 6.14293i 0.163643 0.254633i
\(583\) 9.29244 + 4.24372i 0.384854 + 0.175757i
\(584\) −8.49517 + 9.80395i −0.351533 + 0.405690i
\(585\) −7.78280 + 1.73552i −0.321779 + 0.0717551i
\(586\) 4.13480 + 28.7582i 0.170807 + 1.18799i
\(587\) −23.8886 + 3.43466i −0.985988 + 0.141764i −0.616401 0.787432i \(-0.711410\pi\)
−0.369587 + 0.929196i \(0.620501\pi\)
\(588\) 3.52018 + 5.47751i 0.145170 + 0.225889i
\(589\) −16.3217 + 18.8363i −0.672525 + 0.776135i
\(590\) −17.1637 + 17.3433i −0.706617 + 0.714012i
\(591\) 15.3632 + 9.87333i 0.631958 + 0.406135i
\(592\) −1.62101 5.52067i −0.0666233 0.226898i
\(593\) 11.9524 10.3568i 0.490828 0.425305i −0.373958 0.927446i \(-0.622000\pi\)
0.864786 + 0.502141i \(0.167454\pi\)
\(594\) 5.02753 + 1.47622i 0.206282 + 0.0605699i
\(595\) −4.23542 + 0.325093i −0.173635 + 0.0133275i
\(596\) −3.26584 + 22.7144i −0.133774 + 0.930418i
\(597\) 12.2242i 0.500302i
\(598\) −15.0678 + 8.08998i −0.616168 + 0.330824i
\(599\) 17.9876 0.734955 0.367478 0.930032i \(-0.380221\pi\)
0.367478 + 0.930032i \(0.380221\pi\)
\(600\) −3.74445 + 3.31347i −0.152867 + 0.135272i
\(601\) 18.5179 + 40.5485i 0.755361 + 1.65401i 0.756486 + 0.654010i \(0.226915\pi\)
−0.00112508 + 0.999999i \(0.500358\pi\)
\(602\) −0.945356 + 3.21959i −0.0385298 + 0.131221i
\(603\) 2.63052 2.27936i 0.107123 0.0928226i
\(604\) −10.1080 + 2.96796i −0.411287 + 0.120765i
\(605\) 29.3408 22.2036i 1.19288 0.902703i
\(606\) 4.75321 10.4081i 0.193086 0.422799i
\(607\) 18.7469 + 16.2443i 0.760912 + 0.659334i 0.946285 0.323334i \(-0.104804\pi\)
−0.185373 + 0.982668i \(0.559349\pi\)
\(608\) 2.10395 + 3.27381i 0.0853263 + 0.132770i
\(609\) 0.853273 + 5.93464i 0.0345763 + 0.240484i
\(610\) 6.38253 30.0934i 0.258421 1.21845i
\(611\) 16.4174 10.5508i 0.664176 0.426840i
\(612\) −2.05336 1.77925i −0.0830022 0.0719218i
\(613\) 18.2522 + 8.33551i 0.737201 + 0.336668i 0.748381 0.663269i \(-0.230832\pi\)
−0.0111803 + 0.999937i \(0.503559\pi\)
\(614\) 14.4011 + 9.25501i 0.581180 + 0.373502i
\(615\) 4.48120 + 0.297063i 0.180699 + 0.0119787i
\(616\) −2.39917 2.76879i −0.0966654 0.111558i
\(617\) 12.8572 43.7876i 0.517611 1.76282i −0.120326 0.992734i \(-0.538394\pi\)
0.637938 0.770088i \(-0.279788\pi\)
\(618\) −0.608977 + 0.278110i −0.0244966 + 0.0111872i
\(619\) −3.39385 + 23.6047i −0.136410 + 0.948755i 0.800537 + 0.599284i \(0.204548\pi\)
−0.936947 + 0.349471i \(0.886361\pi\)
\(620\) −4.93479 + 13.4440i −0.198186 + 0.539924i
\(621\) −4.67891 1.05251i −0.187758 0.0422357i
\(622\) 20.6450i 0.827790i
\(623\) −6.26109 0.900208i −0.250845 0.0360661i
\(624\) 1.48140 + 3.24380i 0.0593033 + 0.129856i
\(625\) 3.04186 24.8143i 0.121674 0.992570i
\(626\) −8.75417 10.1029i −0.349887 0.403791i
\(627\) 5.74481 + 19.5650i 0.229426 + 0.781353i
\(628\) −5.75186 + 8.95007i −0.229524 + 0.357147i
\(629\) −6.49410 + 14.2201i −0.258937 + 0.566993i
\(630\) 0.756416 + 1.36829i 0.0301363 + 0.0545140i
\(631\) 2.84185 1.82635i 0.113132 0.0727057i −0.482851 0.875702i \(-0.660399\pi\)
0.595983 + 0.802997i \(0.296762\pi\)
\(632\) 4.68583 0.673721i 0.186392 0.0267992i
\(633\) 18.4828 2.65743i 0.734627 0.105623i
\(634\) −2.55913 + 1.64465i −0.101636 + 0.0653176i
\(635\) −20.0326 + 11.0744i −0.794968 + 0.439473i
\(636\) −0.809903 + 1.77344i −0.0321148 + 0.0703215i
\(637\) −12.5532 + 19.5331i −0.497375 + 0.773931i
\(638\) 12.6587 + 43.1115i 0.501162 + 1.70680i
\(639\) 0.220841 + 0.254864i 0.00873632 + 0.0100823i
\(640\) 1.79702 + 1.33069i 0.0710333 + 0.0526001i
\(641\) 5.74361 + 12.5768i 0.226859 + 0.496752i 0.988495 0.151253i \(-0.0483308\pi\)
−0.761636 + 0.648005i \(0.775604\pi\)
\(642\) −17.4472 2.50854i −0.688588 0.0990040i
\(643\) 24.0953i 0.950224i 0.879925 + 0.475112i \(0.157592\pi\)
−0.879925 + 0.475112i \(0.842408\pi\)
\(644\) 2.35428 + 2.38778i 0.0927717 + 0.0940919i
\(645\) 3.69774 10.0739i 0.145598 0.396658i
\(646\) 1.50475 10.4657i 0.0592035 0.411769i
\(647\) 41.9590 19.1620i 1.64958 0.753337i 0.649603 0.760274i \(-0.274935\pi\)
0.999976 + 0.00693652i \(0.00220798\pi\)
\(648\) −0.281733 + 0.959493i −0.0110675 + 0.0376924i
\(649\) 37.4433 + 43.2119i 1.46978 + 1.69622i
\(650\) −16.2953 7.23772i −0.639153 0.283887i
\(651\) 3.76719 + 2.42103i 0.147648 + 0.0948875i
\(652\) −0.599278 0.273681i −0.0234695 0.0107182i
\(653\) 8.60115 + 7.45294i 0.336589 + 0.291656i 0.806712 0.590945i \(-0.201245\pi\)
−0.470123 + 0.882601i \(0.655790\pi\)
\(654\) −16.2816 + 10.4636i −0.636661 + 0.409157i
\(655\) 23.6173 + 5.00902i 0.922805 + 0.195718i
\(656\) −0.285832 1.98801i −0.0111599 0.0776187i
\(657\) −7.01345 10.9131i −0.273621 0.425762i
\(658\) −2.89178 2.50574i −0.112733 0.0976840i
\(659\) 10.4342 22.8477i 0.406459 0.890021i −0.590115 0.807319i \(-0.700918\pi\)
0.996574 0.0827023i \(-0.0263551\pi\)
\(660\) 7.07017 + 9.34287i 0.275206 + 0.363671i
\(661\) −2.43097 + 0.713797i −0.0945538 + 0.0277635i −0.328667 0.944446i \(-0.606599\pi\)
0.234113 + 0.972209i \(0.424781\pi\)
\(662\) −10.6612 + 9.23796i −0.414358 + 0.359044i
\(663\) 2.72969 9.29647i 0.106012 0.361045i
\(664\) 6.74143 + 14.7617i 0.261618 + 0.572864i
\(665\) −2.88806 + 5.35517i −0.111994 + 0.207664i
\(666\) 5.75373 0.222953
\(667\) −14.0990 38.6323i −0.545916 1.49585i
\(668\) 9.25099i 0.357932i
\(669\) −1.10511 + 7.68620i −0.0427260 + 0.297166i
\(670\) 7.76020 0.595640i 0.299803 0.0230116i
\(671\) −69.1665 20.3091i −2.67014 0.784025i
\(672\) 0.528418 0.457877i 0.0203842 0.0176630i
\(673\) −7.08131 24.1167i −0.272965 0.929632i −0.975871 0.218349i \(-0.929933\pi\)
0.702906 0.711283i \(-0.251885\pi\)
\(674\) 15.0771 + 9.68943i 0.580746 + 0.373223i
\(675\) −2.12431 4.52629i −0.0817649 0.174217i
\(676\) 0.185459 0.214031i 0.00713303 0.00823196i
\(677\) −11.8284 18.4054i −0.454603 0.707376i 0.535989 0.844225i \(-0.319939\pi\)
−0.990592 + 0.136849i \(0.956303\pi\)
\(678\) 8.26542 1.18839i 0.317432 0.0456398i
\(679\) −0.726605 5.05365i −0.0278846 0.193941i
\(680\) −1.32230 5.92972i −0.0507078 0.227394i
\(681\) 0.0497026 0.0573598i 0.00190461 0.00219803i
\(682\) 30.5260 + 13.9408i 1.16890 + 0.533819i
\(683\) −25.8187 + 40.1747i −0.987926 + 1.53724i −0.152014 + 0.988378i \(0.548576\pi\)
−0.835912 + 0.548864i \(0.815061\pi\)
\(684\) −3.73394 + 1.09638i −0.142771 + 0.0419213i
\(685\) 4.02760 + 10.6291i 0.153887 + 0.406117i
\(686\) 9.06427 + 2.66151i 0.346075 + 0.101617i
\(687\) −13.3396 + 6.09200i −0.508938 + 0.232424i
\(688\) −4.75024 0.682982i −0.181101 0.0260384i
\(689\) −6.95248 −0.264868
\(690\) −7.00752 8.11755i −0.266772 0.309030i
\(691\) 23.0171 0.875612 0.437806 0.899069i \(-0.355756\pi\)
0.437806 + 0.899069i \(0.355756\pi\)
\(692\) 2.41967 + 0.347896i 0.0919821 + 0.0132250i
\(693\) 3.33256 1.52193i 0.126594 0.0578133i
\(694\) 6.39079 + 1.87650i 0.242591 + 0.0712311i
\(695\) 15.2027 5.76065i 0.576672 0.218514i
\(696\) −8.22773 + 2.41588i −0.311871 + 0.0915736i
\(697\) −2.95024 + 4.59066i −0.111748 + 0.173884i
\(698\) 14.5858 + 6.66113i 0.552082 + 0.252127i
\(699\) −11.2692 + 13.0054i −0.426242 + 0.491909i
\(700\) −0.461476 + 3.46539i −0.0174422 + 0.130980i
\(701\) 1.18616 + 8.24992i 0.0448006 + 0.311595i 0.999884 + 0.0152567i \(0.00485655\pi\)
−0.955083 + 0.296338i \(0.904234\pi\)
\(702\) −3.52976 + 0.507504i −0.133222 + 0.0191545i
\(703\) 12.1056 + 18.8366i 0.456569 + 0.710436i
\(704\) 3.43133 3.95996i 0.129323 0.149247i
\(705\) 8.69775 + 8.60766i 0.327576 + 0.324183i
\(706\) −6.19823 3.98336i −0.233273 0.149916i
\(707\) −2.25393 7.67619i −0.0847679 0.288693i
\(708\) −8.24690 + 7.14598i −0.309937 + 0.268562i
\(709\) 8.07302 + 2.37045i 0.303189 + 0.0890242i 0.429788 0.902930i \(-0.358588\pi\)
−0.126600 + 0.991954i \(0.540406\pi\)
\(710\) 0.0577099 + 0.751864i 0.00216581 + 0.0282170i
\(711\) −0.673721 + 4.68583i −0.0252665 + 0.175732i
\(712\) 9.04677i 0.339042i
\(713\) −28.7021 10.9369i −1.07490 0.409592i
\(714\) −1.89971 −0.0710948
\(715\) −19.8327 + 36.7747i −0.741701 + 1.37530i
\(716\) 5.46549 + 11.9678i 0.204255 + 0.447256i
\(717\) 1.14812 3.91015i 0.0428774 0.146027i
\(718\) −19.0396 + 16.4979i −0.710550 + 0.615695i
\(719\) −3.52071 + 1.03377i −0.131300 + 0.0385533i −0.346723 0.937968i \(-0.612705\pi\)
0.215422 + 0.976521i \(0.430887\pi\)
\(720\) −1.78306 + 1.34933i −0.0664509 + 0.0502864i
\(721\) −0.194454 + 0.425795i −0.00724184 + 0.0158574i
\(722\) 2.91387 + 2.52488i 0.108443 + 0.0939665i
\(723\) −12.9580 20.1630i −0.481913 0.749871i
\(724\) 1.26878 + 8.82453i 0.0471537 + 0.327961i
\(725\) 22.8034 36.3085i 0.846897 1.34846i
\(726\) 13.8431 8.89640i 0.513765 0.330176i
\(727\) 9.73748 + 8.43757i 0.361143 + 0.312932i 0.816465 0.577394i \(-0.195931\pi\)
−0.455322 + 0.890327i \(0.650476\pi\)
\(728\) 2.26806 + 1.03579i 0.0840598 + 0.0383888i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 1.91871 28.9438i 0.0710148 1.07126i
\(731\) 8.53876 + 9.85426i 0.315818 + 0.364473i
\(732\) 3.87595 13.2003i 0.143259 0.487896i
\(733\) 4.85548 2.21742i 0.179341 0.0819023i −0.323721 0.946153i \(-0.604934\pi\)
0.503062 + 0.864250i \(0.332207\pi\)
\(734\) −3.54701 + 24.6700i −0.130922 + 0.910585i
\(735\) −13.6676 5.01688i −0.504139 0.185050i
\(736\) −2.90109 + 3.81886i −0.106935 + 0.140765i
\(737\) 18.2380i 0.671804i
\(738\) 1.98801 + 0.285832i 0.0731796 + 0.0105216i
\(739\) −12.1432 26.5898i −0.446693 0.978122i −0.990321 0.138795i \(-0.955677\pi\)
0.543628 0.839326i \(-0.317050\pi\)
\(740\) 10.3396 + 7.65643i 0.380089 + 0.281456i
\(741\) −9.08791 10.4880i −0.333853 0.385286i
\(742\) 0.384050 + 1.30795i 0.0140989 + 0.0480165i
\(743\) 14.5834 22.6923i 0.535015 0.832499i −0.463549 0.886071i \(-0.653424\pi\)
0.998564 + 0.0535721i \(0.0170607\pi\)
\(744\) −2.66056 + 5.82581i −0.0975409 + 0.213585i
\(745\) −24.8259 44.9079i −0.909552 1.64530i
\(746\) 9.50901 6.11107i 0.348150 0.223742i
\(747\) −16.0630 + 2.30951i −0.587714 + 0.0845006i
\(748\) −14.0915 + 2.02605i −0.515236 + 0.0740798i
\(749\) −10.3680 + 6.66313i −0.378840 + 0.243466i
\(750\) 2.20565 10.9606i 0.0805391 0.400225i
\(751\) −0.511459 + 1.11994i −0.0186634 + 0.0408672i −0.918734 0.394877i \(-0.870787\pi\)
0.900071 + 0.435744i \(0.143515\pi\)
\(752\) 2.95867 4.60378i 0.107892 0.167883i
\(753\) 0.470313 + 1.60174i 0.0171392 + 0.0583706i
\(754\) −20.0252 23.1103i −0.729273 0.841626i
\(755\) 14.0184 18.9310i 0.510181 0.688970i
\(756\) 0.290457 + 0.636012i 0.0105638 + 0.0231315i
\(757\) −4.19318 0.602888i −0.152404 0.0219123i 0.0656907 0.997840i \(-0.479075\pi\)
−0.218094 + 0.975928i \(0.569984\pi\)
\(758\) 23.2356i 0.843954i
\(759\) −20.2228 + 14.9168i −0.734040 + 0.541446i
\(760\) −8.16890 2.99850i −0.296317 0.108767i
\(761\) 5.56522 38.7069i 0.201739 1.40313i −0.597383 0.801956i \(-0.703793\pi\)
0.799122 0.601169i \(-0.205298\pi\)
\(762\) −9.31159 + 4.25246i −0.337323 + 0.154050i
\(763\) −3.81248 + 12.9841i −0.138021 + 0.470056i
\(764\) 8.77164 + 10.1230i 0.317347 + 0.366238i
\(765\) 6.06206 + 0.401860i 0.219174 + 0.0145293i
\(766\) −30.3928 19.5322i −1.09813 0.705728i
\(767\) −35.3971 16.1653i −1.27811 0.583695i
\(768\) 0.755750 + 0.654861i 0.0272708 + 0.0236303i
\(769\) −11.2721 + 7.24413i −0.406482 + 0.261230i −0.727867 0.685719i \(-0.759488\pi\)
0.321385 + 0.946949i \(0.395852\pi\)
\(770\) 8.01388 + 1.69967i 0.288800 + 0.0612519i
\(771\) 1.23837 + 8.61303i 0.0445987 + 0.310191i
\(772\) 10.4908 + 16.3240i 0.377571 + 0.587512i
\(773\) 36.8187 + 31.9036i 1.32428 + 1.14749i 0.977824 + 0.209426i \(0.0671596\pi\)
0.346454 +