Properties

Label 731.2.z.a.67.16
Level 731
Weight 2
Character 731.67
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 67.16
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.11327 + 1.39600i) q^{2} +(0.311016 + 2.06346i) q^{3} +(-0.264394 - 1.15839i) q^{4} +(-1.52042 - 2.23004i) q^{5} +(-3.22682 - 1.86301i) q^{6} +(2.35848 - 1.36167i) q^{7} +(-1.30600 - 0.628935i) q^{8} +(-1.29440 + 0.399269i) q^{9} +O(q^{10})\) \(q+(-1.11327 + 1.39600i) q^{2} +(0.311016 + 2.06346i) q^{3} +(-0.264394 - 1.15839i) q^{4} +(-1.52042 - 2.23004i) q^{5} +(-3.22682 - 1.86301i) q^{6} +(2.35848 - 1.36167i) q^{7} +(-1.30600 - 0.628935i) q^{8} +(-1.29440 + 0.399269i) q^{9} +(4.80577 + 0.360142i) q^{10} +(4.82473 + 1.10121i) q^{11} +(2.30805 - 0.905843i) q^{12} +(-0.0244481 - 0.326237i) q^{13} +(-0.724739 + 4.80833i) q^{14} +(4.12872 - 3.83089i) q^{15} +(4.47294 - 2.15405i) q^{16} +(-1.71004 + 3.75177i) q^{17} +(0.883636 - 2.25147i) q^{18} +(-0.176855 - 0.0545526i) q^{19} +(-2.18126 + 2.35084i) q^{20} +(3.54326 + 4.44311i) q^{21} +(-6.90852 + 5.50936i) q^{22} +(0.368639 - 0.397298i) q^{23} +(0.891593 - 2.89047i) q^{24} +(-0.834716 + 2.12682i) q^{25} +(0.482643 + 0.329061i) q^{26} +(1.48979 + 3.09357i) q^{27} +(-2.20091 - 2.37201i) q^{28} +(-1.42106 + 9.42809i) q^{29} +(0.751532 + 10.0285i) q^{30} +(5.08228 - 1.99465i) q^{31} +(-1.32743 + 5.81585i) q^{32} +(-0.771736 + 10.2981i) q^{33} +(-3.33371 - 6.56395i) q^{34} +(-6.62245 - 3.18920i) q^{35} +(0.804739 + 1.39385i) q^{36} +(8.80100 + 5.08126i) q^{37} +(0.273043 - 0.186157i) q^{38} +(0.665572 - 0.151912i) q^{39} +(0.583108 + 3.86867i) q^{40} +(-7.50110 - 5.98192i) q^{41} -10.1472 q^{42} +(2.01284 - 6.24087i) q^{43} -5.88006i q^{44} +(2.85841 + 2.27951i) q^{45} +(0.144232 + 0.956919i) q^{46} +(2.03298 + 8.90708i) q^{47} +(5.83595 + 8.55977i) q^{48} +(0.208277 - 0.360747i) q^{49} +(-2.03977 - 3.53299i) q^{50} +(-8.27345 - 2.36174i) q^{51} +(-0.371445 + 0.114576i) q^{52} +(0.859761 - 11.4727i) q^{53} +(-5.97715 - 1.36425i) q^{54} +(-4.87985 - 12.4337i) q^{55} +(-3.93656 + 0.295005i) q^{56} +(0.0575621 - 0.381899i) q^{57} +(-11.5796 - 12.4798i) q^{58} +(11.5940 - 5.58339i) q^{59} +(-5.52927 - 3.76979i) q^{60} +(9.08575 + 3.56590i) q^{61} +(-2.87343 + 9.31542i) q^{62} +(-2.50914 + 2.70421i) q^{63} +(-0.450375 - 0.564752i) q^{64} +(-0.690352 + 0.550537i) q^{65} +(-13.5170 - 12.5419i) q^{66} +(-13.8539 - 4.27337i) q^{67} +(4.79812 + 0.988948i) q^{68} +(0.934459 + 0.637104i) q^{69} +(11.8247 - 5.69447i) q^{70} +(7.84103 + 8.45062i) q^{71} +(1.94159 + 0.292648i) q^{72} +(-10.4032 + 0.779608i) q^{73} +(-16.8913 + 6.62936i) q^{74} +(-4.64821 - 1.06092i) q^{75} +(-0.0164335 + 0.219290i) q^{76} +(12.8785 - 3.97249i) q^{77} +(-0.528892 + 1.09826i) q^{78} +(0.314028 - 0.181304i) q^{79} +(-11.6044 - 6.69979i) q^{80} +(-9.27771 + 6.32544i) q^{81} +(16.7015 - 3.81201i) q^{82} +(-4.35839 + 0.656922i) q^{83} +(4.21003 - 5.27921i) q^{84} +(10.9666 - 1.89078i) q^{85} +(6.47140 + 9.75770i) q^{86} -19.8964 q^{87} +(-5.60849 - 4.47262i) q^{88} +(6.31073 - 0.951189i) q^{89} +(-6.36437 + 1.45263i) q^{90} +(-0.501887 - 0.736133i) q^{91} +(-0.557691 - 0.321983i) q^{92} +(5.69653 + 9.86668i) q^{93} +(-14.6975 - 7.07795i) q^{94} +(0.147239 + 0.477337i) q^{95} +(-12.4136 - 0.930270i) q^{96} +(10.5251 + 2.40229i) q^{97} +(0.271733 + 0.692364i) q^{98} +(-6.68480 + 0.500956i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11327 + 1.39600i −0.787201 + 0.987119i 0.212749 + 0.977107i \(0.431758\pi\)
−0.999950 + 0.0100119i \(0.996813\pi\)
\(3\) 0.311016 + 2.06346i 0.179565 + 1.19134i 0.879064 + 0.476703i \(0.158168\pi\)
−0.699499 + 0.714633i \(0.746594\pi\)
\(4\) −0.264394 1.15839i −0.132197 0.579194i
\(5\) −1.52042 2.23004i −0.679951 0.997305i −0.998775 0.0494912i \(-0.984240\pi\)
0.318823 0.947814i \(-0.396712\pi\)
\(6\) −3.22682 1.86301i −1.31734 0.760569i
\(7\) 2.35848 1.36167i 0.891421 0.514662i 0.0170138 0.999855i \(-0.494584\pi\)
0.874407 + 0.485193i \(0.161251\pi\)
\(8\) −1.30600 0.628935i −0.461740 0.222362i
\(9\) −1.29440 + 0.399269i −0.431466 + 0.133090i
\(10\) 4.80577 + 0.360142i 1.51972 + 0.113887i
\(11\) 4.82473 + 1.10121i 1.45471 + 0.332028i 0.875527 0.483169i \(-0.160514\pi\)
0.579183 + 0.815197i \(0.303371\pi\)
\(12\) 2.30805 0.905843i 0.666277 0.261494i
\(13\) −0.0244481 0.326237i −0.00678068 0.0904819i 0.992787 0.119894i \(-0.0382555\pi\)
−0.999567 + 0.0294122i \(0.990636\pi\)
\(14\) −0.724739 + 4.80833i −0.193695 + 1.28508i
\(15\) 4.12872 3.83089i 1.06603 0.989132i
\(16\) 4.47294 2.15405i 1.11824 0.538514i
\(17\) −1.71004 + 3.75177i −0.414747 + 0.909937i
\(18\) 0.883636 2.25147i 0.208275 0.530676i
\(19\) −0.176855 0.0545526i −0.0405733 0.0125152i 0.274402 0.961615i \(-0.411520\pi\)
−0.314975 + 0.949100i \(0.601996\pi\)
\(20\) −2.18126 + 2.35084i −0.487745 + 0.525665i
\(21\) 3.54326 + 4.44311i 0.773204 + 0.969567i
\(22\) −6.90852 + 5.50936i −1.47290 + 1.17460i
\(23\) 0.368639 0.397298i 0.0768665 0.0828424i −0.693447 0.720507i \(-0.743909\pi\)
0.770314 + 0.637665i \(0.220100\pi\)
\(24\) 0.891593 2.89047i 0.181996 0.590016i
\(25\) −0.834716 + 2.12682i −0.166943 + 0.425364i
\(26\) 0.482643 + 0.329061i 0.0946542 + 0.0645341i
\(27\) 1.48979 + 3.09357i 0.286709 + 0.595358i
\(28\) −2.20091 2.37201i −0.415932 0.448268i
\(29\) −1.42106 + 9.42809i −0.263883 + 1.75075i 0.327954 + 0.944694i \(0.393641\pi\)
−0.591837 + 0.806058i \(0.701597\pi\)
\(30\) 0.751532 + 10.0285i 0.137210 + 1.83094i
\(31\) 5.08228 1.99465i 0.912804 0.358249i 0.137986 0.990434i \(-0.455937\pi\)
0.774817 + 0.632185i \(0.217842\pi\)
\(32\) −1.32743 + 5.81585i −0.234659 + 1.02811i
\(33\) −0.771736 + 10.2981i −0.134342 + 1.79267i
\(34\) −3.33371 6.56395i −0.571727 1.12571i
\(35\) −6.62245 3.18920i −1.11940 0.539074i
\(36\) 0.804739 + 1.39385i 0.134123 + 0.232308i
\(37\) 8.80100 + 5.08126i 1.44688 + 0.835354i 0.998294 0.0583872i \(-0.0185958\pi\)
0.448582 + 0.893742i \(0.351929\pi\)
\(38\) 0.273043 0.186157i 0.0442934 0.0301987i
\(39\) 0.665572 0.151912i 0.106577 0.0243255i
\(40\) 0.583108 + 3.86867i 0.0921975 + 0.611691i
\(41\) −7.50110 5.98192i −1.17147 0.934220i −0.172763 0.984963i \(-0.555269\pi\)
−0.998712 + 0.0507439i \(0.983841\pi\)
\(42\) −10.1472 −1.56574
\(43\) 2.01284 6.24087i 0.306956 0.951724i
\(44\) 5.88006i 0.886452i
\(45\) 2.85841 + 2.27951i 0.426107 + 0.339809i
\(46\) 0.144232 + 0.956919i 0.0212659 + 0.141090i
\(47\) 2.03298 + 8.90708i 0.296541 + 1.29923i 0.875240 + 0.483689i \(0.160704\pi\)
−0.578699 + 0.815541i \(0.696439\pi\)
\(48\) 5.83595 + 8.55977i 0.842347 + 1.23550i
\(49\) 0.208277 0.360747i 0.0297539 0.0515353i
\(50\) −2.03977 3.53299i −0.288467 0.499640i
\(51\) −8.27345 2.36174i −1.15851 0.330710i
\(52\) −0.371445 + 0.114576i −0.0515102 + 0.0158888i
\(53\) 0.859761 11.4727i 0.118097 1.57590i −0.552140 0.833751i \(-0.686189\pi\)
0.670237 0.742147i \(-0.266192\pi\)
\(54\) −5.97715 1.36425i −0.813387 0.185650i
\(55\) −4.87985 12.4337i −0.657999 1.67655i
\(56\) −3.93656 + 0.295005i −0.526046 + 0.0394217i
\(57\) 0.0575621 0.381899i 0.00762428 0.0505838i
\(58\) −11.5796 12.4798i −1.52047 1.63868i
\(59\) 11.5940 5.58339i 1.50941 0.726895i 0.517723 0.855548i \(-0.326780\pi\)
0.991690 + 0.128653i \(0.0410654\pi\)
\(60\) −5.52927 3.76979i −0.713825 0.486678i
\(61\) 9.08575 + 3.56590i 1.16331 + 0.456566i 0.866894 0.498492i \(-0.166113\pi\)
0.296418 + 0.955058i \(0.404208\pi\)
\(62\) −2.87343 + 9.31542i −0.364926 + 1.18306i
\(63\) −2.50914 + 2.70421i −0.316121 + 0.340698i
\(64\) −0.450375 0.564752i −0.0562969 0.0705941i
\(65\) −0.690352 + 0.550537i −0.0856276 + 0.0682857i
\(66\) −13.5170 12.5419i −1.66382 1.54380i
\(67\) −13.8539 4.27337i −1.69253 0.522075i −0.709369 0.704837i \(-0.751020\pi\)
−0.983157 + 0.182762i \(0.941496\pi\)
\(68\) 4.79812 + 0.988948i 0.581858 + 0.119928i
\(69\) 0.934459 + 0.637104i 0.112496 + 0.0766983i
\(70\) 11.8247 5.69447i 1.41332 0.680619i
\(71\) 7.84103 + 8.45062i 0.930559 + 1.00290i 0.999986 + 0.00531684i \(0.00169241\pi\)
−0.0694271 + 0.997587i \(0.522117\pi\)
\(72\) 1.94159 + 0.292648i 0.228819 + 0.0344889i
\(73\) −10.4032 + 0.779608i −1.21760 + 0.0912463i −0.667986 0.744174i \(-0.732843\pi\)
−0.549611 + 0.835421i \(0.685224\pi\)
\(74\) −16.8913 + 6.62936i −1.96358 + 0.770647i
\(75\) −4.64821 1.06092i −0.536729 0.122505i
\(76\) −0.0164335 + 0.219290i −0.00188505 + 0.0251543i
\(77\) 12.8785 3.97249i 1.46764 0.452707i
\(78\) −0.528892 + 1.09826i −0.0598853 + 0.124353i
\(79\) 0.314028 0.181304i 0.0353309 0.0203983i −0.482231 0.876044i \(-0.660173\pi\)
0.517561 + 0.855646i \(0.326840\pi\)
\(80\) −11.6044 6.69979i −1.29741 0.749059i
\(81\) −9.27771 + 6.32544i −1.03086 + 0.702826i
\(82\) 16.7015 3.81201i 1.84437 0.420966i
\(83\) −4.35839 + 0.656922i −0.478396 + 0.0721066i −0.383814 0.923410i \(-0.625390\pi\)
−0.0945821 + 0.995517i \(0.530151\pi\)
\(84\) 4.21003 5.27921i 0.459352 0.576009i
\(85\) 10.9666 1.89078i 1.18949 0.205084i
\(86\) 6.47140 + 9.75770i 0.697829 + 1.05220i
\(87\) −19.8964 −2.13312
\(88\) −5.60849 4.47262i −0.597867 0.476783i
\(89\) 6.31073 0.951189i 0.668936 0.100826i 0.194211 0.980960i \(-0.437785\pi\)
0.474725 + 0.880134i \(0.342547\pi\)
\(90\) −6.36437 + 1.45263i −0.670863 + 0.153120i
\(91\) −0.501887 0.736133i −0.0526120 0.0771677i
\(92\) −0.557691 0.321983i −0.0581433 0.0335691i
\(93\) 5.69653 + 9.86668i 0.590703 + 1.02313i
\(94\) −14.6975 7.07795i −1.51593 0.730035i
\(95\) 0.147239 + 0.477337i 0.0151064 + 0.0489738i
\(96\) −12.4136 0.930270i −1.26696 0.0949453i
\(97\) 10.5251 + 2.40229i 1.06867 + 0.243916i 0.720456 0.693501i \(-0.243933\pi\)
0.348209 + 0.937417i \(0.386790\pi\)
\(98\) 0.271733 + 0.692364i 0.0274491 + 0.0699393i
\(99\) −6.68480 + 0.500956i −0.671847 + 0.0503480i
\(100\) 2.68438 + 0.404605i 0.268438 + 0.0404605i
\(101\) −8.56301 + 7.94531i −0.852051 + 0.790588i −0.979539 0.201252i \(-0.935499\pi\)
0.127489 + 0.991840i \(0.459308\pi\)
\(102\) 12.5076 8.92046i 1.23843 0.883257i
\(103\) −3.58525 2.44438i −0.353265 0.240852i 0.373665 0.927564i \(-0.378101\pi\)
−0.726930 + 0.686712i \(0.759053\pi\)
\(104\) −0.173253 + 0.441441i −0.0169888 + 0.0432869i
\(105\) 4.52109 14.6570i 0.441213 1.43038i
\(106\) 15.0587 + 13.9725i 1.46263 + 1.35712i
\(107\) 0.263916 0.210466i 0.0255137 0.0203465i −0.610650 0.791901i \(-0.709092\pi\)
0.636164 + 0.771554i \(0.280520\pi\)
\(108\) 3.18966 2.54367i 0.306926 0.244765i
\(109\) 4.53411 4.88661i 0.434289 0.468053i −0.477547 0.878606i \(-0.658474\pi\)
0.911836 + 0.410554i \(0.134665\pi\)
\(110\) 22.7899 + 7.02976i 2.17293 + 0.670262i
\(111\) −7.74770 + 19.7408i −0.735380 + 1.87372i
\(112\) 7.61622 11.1709i 0.719665 1.05556i
\(113\) 6.76699 + 14.0518i 0.636585 + 1.32188i 0.930585 + 0.366077i \(0.119299\pi\)
−0.293999 + 0.955806i \(0.594986\pi\)
\(114\) 0.469048 + 0.505514i 0.0439304 + 0.0473457i
\(115\) −1.44648 0.218021i −0.134885 0.0203306i
\(116\) 11.2971 0.846600i 1.04891 0.0786049i
\(117\) 0.161902 + 0.412519i 0.0149678 + 0.0381374i
\(118\) −5.11289 + 22.4010i −0.470680 + 2.06218i
\(119\) 1.07556 + 11.1770i 0.0985962 + 1.02459i
\(120\) −7.80147 + 2.40644i −0.712174 + 0.219677i
\(121\) 12.1547 + 5.85339i 1.10497 + 0.532126i
\(122\) −15.0929 + 8.71388i −1.36645 + 0.788917i
\(123\) 10.0105 17.3386i 0.902614 1.56337i
\(124\) −3.65430 5.35987i −0.328166 0.481331i
\(125\) −7.14477 + 1.63075i −0.639048 + 0.145859i
\(126\) −0.981715 6.51326i −0.0874582 0.580247i
\(127\) 0.144627 0.181357i 0.0128336 0.0160928i −0.775373 0.631503i \(-0.782438\pi\)
0.788207 + 0.615410i \(0.211010\pi\)
\(128\) −10.6410 −0.940544
\(129\) 13.5038 + 2.21240i 1.18894 + 0.194791i
\(130\) 1.57663i 0.138279i
\(131\) −10.3137 8.22493i −0.901115 0.718615i 0.0589888 0.998259i \(-0.481212\pi\)
−0.960104 + 0.279643i \(0.909784\pi\)
\(132\) 12.1332 1.82879i 1.05606 0.159176i
\(133\) −0.491391 + 0.112157i −0.0426090 + 0.00972523i
\(134\) 21.3888 14.5826i 1.84771 1.25975i
\(135\) 4.63370 8.02581i 0.398806 0.690751i
\(136\) 4.59293 3.82429i 0.393840 0.327930i
\(137\) −4.72093 2.27348i −0.403337 0.194237i 0.221207 0.975227i \(-0.429001\pi\)
−0.624543 + 0.780990i \(0.714715\pi\)
\(138\) −1.92970 + 0.595234i −0.164267 + 0.0506697i
\(139\) 4.10898 + 0.307925i 0.348519 + 0.0261179i 0.247840 0.968801i \(-0.420279\pi\)
0.100679 + 0.994919i \(0.467898\pi\)
\(140\) −1.94339 + 8.51457i −0.164247 + 0.719612i
\(141\) −17.7471 + 6.96521i −1.49457 + 0.586576i
\(142\) −20.5262 + 1.53823i −1.72252 + 0.129085i
\(143\) 0.241301 1.60093i 0.0201786 0.133876i
\(144\) −4.92972 + 4.57411i −0.410810 + 0.381176i
\(145\) 23.1856 11.1656i 1.92546 0.927253i
\(146\) 10.4932 15.3907i 0.868422 1.27374i
\(147\) 0.809163 + 0.317573i 0.0667386 + 0.0261930i
\(148\) 3.55913 11.5384i 0.292559 0.948453i
\(149\) −3.19228 2.96200i −0.261522 0.242657i 0.538503 0.842624i \(-0.318990\pi\)
−0.800025 + 0.599967i \(0.795180\pi\)
\(150\) 6.65576 5.30779i 0.543441 0.433379i
\(151\) 13.0758 + 16.3966i 1.06410 + 1.33434i 0.939661 + 0.342108i \(0.111141\pi\)
0.124437 + 0.992228i \(0.460288\pi\)
\(152\) 0.196662 + 0.182476i 0.0159514 + 0.0148007i
\(153\) 0.715514 5.53904i 0.0578459 0.447805i
\(154\) −8.79167 + 22.4008i −0.708453 + 1.80511i
\(155\) −12.1753 8.30100i −0.977946 0.666752i
\(156\) −0.351947 0.730826i −0.0281783 0.0585129i
\(157\) −10.0769 + 9.34998i −0.804223 + 0.746210i −0.970818 0.239815i \(-0.922913\pi\)
0.166596 + 0.986025i \(0.446723\pi\)
\(158\) −0.0964979 + 0.640222i −0.00767696 + 0.0509333i
\(159\) 23.9408 1.79412i 1.89863 0.142283i
\(160\) 14.9878 5.88229i 1.18489 0.465036i
\(161\) 0.328438 1.43898i 0.0258846 0.113408i
\(162\) 1.49831 19.9936i 0.117718 1.57084i
\(163\) 5.00907 + 16.2390i 0.392340 + 1.27194i 0.909377 + 0.415973i \(0.136559\pi\)
−0.517036 + 0.855963i \(0.672965\pi\)
\(164\) −4.94614 + 10.2708i −0.386229 + 0.802012i
\(165\) 24.1386 13.9364i 1.87919 1.08495i
\(166\) 3.93501 6.81564i 0.305416 0.528996i
\(167\) 1.82334 + 2.67435i 0.141094 + 0.206947i 0.890281 0.455412i \(-0.150508\pi\)
−0.749187 + 0.662359i \(0.769555\pi\)
\(168\) −1.83306 8.03117i −0.141424 0.619618i
\(169\) 12.7490 1.92160i 0.980690 0.147815i
\(170\) −9.56925 + 17.4143i −0.733928 + 1.33561i
\(171\) 0.250702 0.0191717
\(172\) −7.76153 0.681600i −0.591811 0.0519715i
\(173\) 9.16032i 0.696447i −0.937412 0.348223i \(-0.886785\pi\)
0.937412 0.348223i \(-0.113215\pi\)
\(174\) 22.1501 27.7753i 1.67919 2.10564i
\(175\) 0.927365 + 6.15267i 0.0701022 + 0.465098i
\(176\) 23.9528 5.46707i 1.80551 0.412096i
\(177\) 15.1270 + 22.1872i 1.13701 + 1.66769i
\(178\) −5.69769 + 9.86869i −0.427060 + 0.739689i
\(179\) −7.25965 12.5741i −0.542612 0.939831i −0.998753 0.0499238i \(-0.984102\pi\)
0.456141 0.889907i \(-0.349231\pi\)
\(180\) 1.88480 3.91384i 0.140485 0.291720i
\(181\) −7.69982 24.9622i −0.572323 1.85543i −0.515221 0.857058i \(-0.672290\pi\)
−0.0571025 0.998368i \(-0.518186\pi\)
\(182\) 1.58638 + 0.118882i 0.117590 + 0.00881215i
\(183\) −4.53225 + 19.8571i −0.335034 + 1.46788i
\(184\) −0.731316 + 0.287020i −0.0539133 + 0.0211594i
\(185\) −2.04977 27.3523i −0.150702 2.01098i
\(186\) −20.1156 3.03194i −1.47495 0.222313i
\(187\) −12.3820 + 16.2181i −0.905461 + 1.18599i
\(188\) 9.78034 4.70996i 0.713305 0.343509i
\(189\) 7.72604 + 5.26753i 0.561987 + 0.383156i
\(190\) −0.830278 0.325860i −0.0602347 0.0236404i
\(191\) −3.60543 1.11213i −0.260880 0.0804707i 0.161556 0.986864i \(-0.448349\pi\)
−0.422436 + 0.906393i \(0.638825\pi\)
\(192\) 1.02527 1.10498i 0.0739923 0.0797447i
\(193\) 14.1022 11.2461i 1.01510 0.809512i 0.0332989 0.999445i \(-0.489399\pi\)
0.981797 + 0.189934i \(0.0608273\pi\)
\(194\) −15.0709 + 12.0186i −1.08203 + 0.862889i
\(195\) −1.35072 1.25328i −0.0967270 0.0897495i
\(196\) −0.472952 0.145886i −0.0337823 0.0104205i
\(197\) −15.5750 6.11275i −1.10967 0.435515i −0.261485 0.965208i \(-0.584212\pi\)
−0.848190 + 0.529692i \(0.822307\pi\)
\(198\) 6.74265 9.88965i 0.479179 0.702827i
\(199\) −6.08664 12.6390i −0.431471 0.895958i −0.997438 0.0715308i \(-0.977212\pi\)
0.565968 0.824427i \(-0.308503\pi\)
\(200\) 2.42777 2.25264i 0.171669 0.159286i
\(201\) 4.50912 29.9160i 0.318049 2.11011i
\(202\) −1.55868 20.7992i −0.109669 1.46343i
\(203\) 9.48639 + 24.1709i 0.665814 + 1.69647i
\(204\) −0.548357 + 10.2083i −0.0383927 + 0.714723i
\(205\) −1.93515 + 25.8228i −0.135157 + 1.80354i
\(206\) 7.40369 2.28374i 0.515840 0.159115i
\(207\) −0.318536 + 0.661448i −0.0221398 + 0.0459738i
\(208\) −0.812088 1.40658i −0.0563081 0.0975286i
\(209\) −0.793204 0.457957i −0.0548671 0.0316775i
\(210\) 15.4279 + 22.6286i 1.06463 + 1.56152i
\(211\) 17.8482 4.07373i 1.22872 0.280447i 0.441581 0.897222i \(-0.354418\pi\)
0.787140 + 0.616774i \(0.211561\pi\)
\(212\) −13.5172 + 2.03738i −0.928362 + 0.139928i
\(213\) −14.9988 + 18.8079i −1.02770 + 1.28869i
\(214\) 0.602731i 0.0412018i
\(215\) −16.9778 + 5.00000i −1.15787 + 0.340997i
\(216\) 4.97717i 0.338654i
\(217\) 9.27039 11.6247i 0.629315 0.789136i
\(218\) 1.77400 + 11.7697i 0.120151 + 0.797147i
\(219\) −4.84423 21.2240i −0.327343 1.43418i
\(220\) −13.1128 + 8.94015i −0.884064 + 0.602744i
\(221\) 1.26577 + 0.466157i 0.0851451 + 0.0313571i
\(222\) −18.9328 32.7926i −1.27069 2.20090i
\(223\) −18.6080 8.96113i −1.24608 0.600082i −0.309624 0.950859i \(-0.600203\pi\)
−0.936459 + 0.350777i \(0.885917\pi\)
\(224\) 4.78854 + 15.5241i 0.319948 + 1.03725i
\(225\) 0.231281 3.08623i 0.0154187 0.205749i
\(226\) −27.1498 6.19676i −1.80598 0.412202i
\(227\) 7.76970 3.04938i 0.515693 0.202395i −0.0931994 0.995647i \(-0.529709\pi\)
0.608892 + 0.793253i \(0.291614\pi\)
\(228\) −0.457606 + 0.0342929i −0.0303057 + 0.00227110i
\(229\) 14.8199 + 2.23374i 0.979328 + 0.147610i 0.619149 0.785273i \(-0.287478\pi\)
0.360179 + 0.932883i \(0.382716\pi\)
\(230\) 1.91468 1.77656i 0.126250 0.117143i
\(231\) 12.2025 + 25.3387i 0.802864 + 1.66716i
\(232\) 7.78555 11.4193i 0.511146 0.749714i
\(233\) −13.9409 5.47141i −0.913300 0.358444i −0.138289 0.990392i \(-0.544160\pi\)
−0.775011 + 0.631948i \(0.782256\pi\)
\(234\) −0.756116 0.233231i −0.0494288 0.0152468i
\(235\) 16.7722 18.0761i 1.09410 1.17916i
\(236\) −9.53312 11.9542i −0.620553 0.778149i
\(237\) 0.471780 + 0.591593i 0.0306454 + 0.0384281i
\(238\) −16.8004 10.9415i −1.08901 0.709233i
\(239\) 20.7453 + 6.39907i 1.34190 + 0.413922i 0.880826 0.473440i \(-0.156988\pi\)
0.461075 + 0.887361i \(0.347464\pi\)
\(240\) 10.2156 26.0288i 0.659412 1.68015i
\(241\) 0.933491 1.36918i 0.0601315 0.0881967i −0.794995 0.606615i \(-0.792527\pi\)
0.855127 + 0.518419i \(0.173479\pi\)
\(242\) −21.7028 + 10.4515i −1.39511 + 0.671848i
\(243\) −8.93144 9.62580i −0.572952 0.617495i
\(244\) 1.72847 11.4676i 0.110654 0.734140i
\(245\) −1.12115 + 0.0840186i −0.0716276 + 0.00536775i
\(246\) 13.0603 + 33.2772i 0.832696 + 2.12168i
\(247\) −0.0134733 + 0.0590304i −0.000857286 + 0.00375602i
\(248\) −7.89194 0.591419i −0.501139 0.0375551i
\(249\) −2.71106 8.78904i −0.171806 0.556983i
\(250\) 5.67755 11.7895i 0.359080 0.745636i
\(251\) −3.44382 5.96486i −0.217372 0.376499i 0.736632 0.676294i \(-0.236415\pi\)
−0.954004 + 0.299795i \(0.903082\pi\)
\(252\) 3.79592 + 2.19157i 0.239120 + 0.138056i
\(253\) 2.21609 1.51091i 0.139325 0.0949899i
\(254\) 0.0921642 + 0.403798i 0.00578290 + 0.0253365i
\(255\) 7.31232 + 22.0410i 0.457915 + 1.38026i
\(256\) 12.7471 15.9844i 0.796694 0.999023i
\(257\) 8.92165 0.556517 0.278259 0.960506i \(-0.410243\pi\)
0.278259 + 0.960506i \(0.410243\pi\)
\(258\) −18.1219 + 16.3882i −1.12822 + 1.02029i
\(259\) 27.6760 1.71970
\(260\) 0.820260 + 0.654136i 0.0508704 + 0.0405678i
\(261\) −1.92493 12.7711i −0.119150 0.790509i
\(262\) 22.9639 5.24137i 1.41872 0.323813i
\(263\) −1.35663 + 0.924938i −0.0836537 + 0.0570341i −0.604425 0.796662i \(-0.706597\pi\)
0.520771 + 0.853696i \(0.325645\pi\)
\(264\) 7.48472 12.9639i 0.460653 0.797874i
\(265\) −26.8918 + 15.5260i −1.65195 + 0.953755i
\(266\) 0.390481 0.810841i 0.0239419 0.0497159i
\(267\) 3.92547 + 12.7261i 0.240235 + 0.778823i
\(268\) −1.28732 + 17.1781i −0.0786355 + 1.04932i
\(269\) 5.51324 + 1.25836i 0.336148 + 0.0767236i 0.387263 0.921969i \(-0.373420\pi\)
−0.0511152 + 0.998693i \(0.516278\pi\)
\(270\) 6.04544 + 15.4035i 0.367914 + 0.937429i
\(271\) 0.255436 + 3.40856i 0.0155166 + 0.207055i 0.999574 + 0.0292014i \(0.00929641\pi\)
−0.984057 + 0.177854i \(0.943085\pi\)
\(272\) 0.432583 + 20.4650i 0.0262292 + 1.24087i
\(273\) 1.36288 1.26457i 0.0824854 0.0765353i
\(274\) 8.42945 4.05941i 0.509242 0.245238i
\(275\) −6.36936 + 9.34214i −0.384087 + 0.563352i
\(276\) 0.490947 1.25091i 0.0295515 0.0752961i
\(277\) −3.21357 + 10.4181i −0.193085 + 0.625965i 0.806320 + 0.591479i \(0.201456\pi\)
−0.999405 + 0.0344864i \(0.989020\pi\)
\(278\) −5.00426 + 5.39331i −0.300136 + 0.323469i
\(279\) −5.78209 + 4.61106i −0.346164 + 0.276057i
\(280\) 6.64309 + 8.33018i 0.397001 + 0.497823i
\(281\) −3.65268 3.38920i −0.217901 0.202182i 0.563668 0.826001i \(-0.309390\pi\)
−0.781569 + 0.623819i \(0.785580\pi\)
\(282\) 10.0339 32.5290i 0.597508 1.93707i
\(283\) −16.6528 6.53576i −0.989909 0.388510i −0.185537 0.982637i \(-0.559402\pi\)
−0.804371 + 0.594127i \(0.797498\pi\)
\(284\) 7.71597 11.3172i 0.457858 0.671555i
\(285\) −0.939170 + 0.452280i −0.0556316 + 0.0267908i
\(286\) 1.96626 + 2.11912i 0.116267 + 0.125306i
\(287\) −25.8366 3.89423i −1.52508 0.229869i
\(288\) −0.603865 8.05802i −0.0355831 0.474823i
\(289\) −11.1515 12.8314i −0.655970 0.754787i
\(290\) −10.2247 + 44.7974i −0.600416 + 2.63059i
\(291\) −1.68354 + 22.4653i −0.0986909 + 1.31694i
\(292\) 3.65362 + 11.8448i 0.213812 + 0.693162i
\(293\) −14.2584 6.86649i −0.832985 0.401144i −0.0317511 0.999496i \(-0.510108\pi\)
−0.801234 + 0.598351i \(0.795823\pi\)
\(294\) −1.34415 + 0.776044i −0.0783923 + 0.0452598i
\(295\) −30.0789 17.3661i −1.75126 1.01109i
\(296\) −8.29830 12.1714i −0.482329 0.707447i
\(297\) 3.78113 + 16.5662i 0.219403 + 0.961270i
\(298\) 7.68882 1.15890i 0.445401 0.0671334i
\(299\) −0.138626 0.110551i −0.00801695 0.00639330i
\(300\) 5.66493i 0.327065i
\(301\) −3.75075 17.4598i −0.216190 1.00636i
\(302\) −37.4465 −2.15481
\(303\) −19.0580 15.1983i −1.09485 0.873117i
\(304\) −0.908572 + 0.136945i −0.0521102 + 0.00785434i
\(305\) −5.86204 25.6833i −0.335659 1.47062i
\(306\) 6.93593 + 7.16531i 0.396500 + 0.409613i
\(307\) −3.04774 + 5.27885i −0.173944 + 0.301280i −0.939795 0.341738i \(-0.888984\pi\)
0.765851 + 0.643018i \(0.222318\pi\)
\(308\) −8.00669 13.8680i −0.456223 0.790202i
\(309\) 3.92880 8.15823i 0.223502 0.464106i
\(310\) 25.1426 7.75546i 1.42800 0.440481i
\(311\) 3.17152 + 0.237672i 0.179840 + 0.0134772i 0.164346 0.986403i \(-0.447449\pi\)
0.0154944 + 0.999880i \(0.495068\pi\)
\(312\) −0.964778 0.220204i −0.0546198 0.0124666i
\(313\) 13.2823 5.21292i 0.750760 0.294652i 0.0410612 0.999157i \(-0.486926\pi\)
0.709699 + 0.704505i \(0.248831\pi\)
\(314\) −1.83425 24.4764i −0.103513 1.38128i
\(315\) 9.84543 + 1.48396i 0.554727 + 0.0836116i
\(316\) −0.293047 0.315830i −0.0164852 0.0177668i
\(317\) 3.64502 + 7.56897i 0.204725 + 0.425116i 0.977899 0.209078i \(-0.0670464\pi\)
−0.773174 + 0.634194i \(0.781332\pi\)
\(318\) −24.1480 + 35.4186i −1.35415 + 1.98618i
\(319\) −17.2385 + 43.9231i −0.965173 + 2.45922i
\(320\) −0.574664 + 1.86301i −0.0321247 + 0.104146i
\(321\) 0.516369 + 0.479120i 0.0288209 + 0.0267419i
\(322\) 1.64317 + 2.06048i 0.0915705 + 0.114826i
\(323\) 0.507099 0.570232i 0.0282157 0.0317285i
\(324\) 9.78028 + 9.07478i 0.543349 + 0.504154i
\(325\) 0.714256 + 0.220319i 0.0396198 + 0.0122211i
\(326\) −28.2460 11.0858i −1.56440 0.613983i
\(327\) 11.4935 + 7.83613i 0.635591 + 0.433339i
\(328\) 6.03417 + 12.5301i 0.333181 + 0.691858i
\(329\) 16.9232 + 18.2389i 0.933008 + 1.00554i
\(330\) −7.41757 + 49.2124i −0.408324 + 2.70905i
\(331\) −0.00114737 0.0153106i −6.30650e−5 0.000841544i 0.997172 0.0751509i \(-0.0239438\pi\)
−0.997235 + 0.0743093i \(0.976325\pi\)
\(332\) 1.91331 + 4.87502i 0.105006 + 0.267552i
\(333\) −13.4208 3.06321i −0.735455 0.167863i
\(334\) −5.76325 0.431896i −0.315351 0.0236323i
\(335\) 11.5340 + 37.3922i 0.630167 + 2.04295i
\(336\) 25.4195 + 12.2414i 1.38675 + 0.667823i
\(337\) −15.2105 + 8.78177i −0.828567 + 0.478373i −0.853362 0.521319i \(-0.825440\pi\)
0.0247949 + 0.999693i \(0.492107\pi\)
\(338\) −11.5105 + 19.9368i −0.626089 + 1.08442i
\(339\) −26.8906 + 18.3337i −1.46050 + 0.995751i
\(340\) −5.08976 12.2036i −0.276031 0.661835i
\(341\) 26.7171 4.02696i 1.44681 0.218072i
\(342\) −0.279099 + 0.349979i −0.0150919 + 0.0189247i
\(343\) 17.9289i 0.968071i
\(344\) −6.55387 + 6.88461i −0.353361 + 0.371193i
\(345\) 3.05255i 0.164344i
\(346\) 12.7878 + 10.1979i 0.687476 + 0.548243i
\(347\) −1.23823 8.21509i −0.0664714 0.441009i −0.997167 0.0752152i \(-0.976036\pi\)
0.930696 0.365794i \(-0.119202\pi\)
\(348\) 5.26050 + 23.0477i 0.281992 + 1.23549i
\(349\) −1.23481 + 0.841882i −0.0660981 + 0.0450649i −0.595918 0.803045i \(-0.703212\pi\)
0.529820 + 0.848110i \(0.322259\pi\)
\(350\) −9.62151 5.55498i −0.514291 0.296926i
\(351\) 0.972816 0.561656i 0.0519251 0.0299790i
\(352\) −12.8090 + 26.5981i −0.682721 + 1.41768i
\(353\) 6.14758 1.89628i 0.327202 0.100929i −0.126802 0.991928i \(-0.540471\pi\)
0.454004 + 0.890999i \(0.349995\pi\)
\(354\) −47.8137 3.58314i −2.54127 0.190442i
\(355\) 6.92360 30.3343i 0.367467 1.60998i
\(356\) −2.77037 7.05878i −0.146829 0.374115i
\(357\) −22.7287 + 5.69558i −1.20293 + 0.301442i
\(358\) 25.6353 + 3.86390i 1.35487 + 0.204214i
\(359\) 7.50103 6.95994i 0.395889 0.367331i −0.456961 0.889486i \(-0.651062\pi\)
0.852851 + 0.522155i \(0.174872\pi\)
\(360\) −2.29941 4.77478i −0.121190 0.251653i
\(361\) −15.6702 10.6838i −0.824749 0.562304i
\(362\) 43.4191 + 17.0408i 2.28206 + 0.895642i
\(363\) −8.29790 + 26.9011i −0.435527 + 1.41194i
\(364\) −0.720031 + 0.776009i −0.0377399 + 0.0406739i
\(365\) 17.5557 + 22.0141i 0.918907 + 1.15227i
\(366\) −22.6748 28.4333i −1.18523 1.48623i
\(367\) −1.31052 + 1.41240i −0.0684084 + 0.0737267i −0.766329 0.642449i \(-0.777919\pi\)
0.697920 + 0.716176i \(0.254109\pi\)
\(368\) 0.793098 2.57116i 0.0413431 0.134031i
\(369\) 12.0978 + 4.74803i 0.629786 + 0.247173i
\(370\) 40.4656 + 27.5890i 2.10371 + 1.43428i
\(371\) −13.5943 28.2288i −0.705780 1.46557i
\(372\) 9.92331 9.20749i 0.514500 0.477386i
\(373\) −6.43174 0.969428i −0.333023 0.0501951i −0.0195974 0.999808i \(-0.506238\pi\)
−0.313425 + 0.949613i \(0.601477\pi\)
\(374\) −8.85595 35.3404i −0.457931 1.82741i
\(375\) −5.58711 14.2357i −0.288517 0.735130i
\(376\) 2.94690 12.9112i 0.151975 0.665846i
\(377\) 3.11053 + 0.233102i 0.160201 + 0.0120054i
\(378\) −15.9546 + 4.92135i −0.820617 + 0.253127i
\(379\) −7.84664 + 16.2937i −0.403055 + 0.836952i 0.596359 + 0.802718i \(0.296614\pi\)
−0.999414 + 0.0342343i \(0.989101\pi\)
\(380\) 0.514012 0.296765i 0.0263683 0.0152237i
\(381\) 0.419202 + 0.242027i 0.0214764 + 0.0123994i
\(382\) 5.56634 3.79507i 0.284799 0.194173i
\(383\) −3.20612 14.0469i −0.163825 0.717764i −0.988383 0.151986i \(-0.951433\pi\)
0.824558 0.565778i \(-0.191424\pi\)
\(384\) −3.30953 21.9573i −0.168889 1.12050i
\(385\) −28.4395 22.6798i −1.44941 1.15587i
\(386\) 32.2065i 1.63927i
\(387\) −0.113633 + 8.88183i −0.00577630 + 0.451489i
\(388\) 12.8273i 0.651209i
\(389\) 4.90537 6.15114i 0.248712 0.311875i −0.641767 0.766900i \(-0.721798\pi\)
0.890479 + 0.455025i \(0.150370\pi\)
\(390\) 3.25329 0.490355i 0.164737 0.0248301i
\(391\) 0.860181 + 2.06244i 0.0435012 + 0.104302i
\(392\) −0.498896 + 0.340142i −0.0251981 + 0.0171797i
\(393\) 13.7640 23.8400i 0.694304 1.20257i
\(394\) 25.8726 14.9375i 1.30344 0.752543i
\(395\) −0.881768 0.424637i −0.0443666 0.0213658i
\(396\) 2.34772 + 7.61113i 0.117978 + 0.382474i
\(397\) −22.3550 1.67527i −1.12196 0.0840796i −0.499198 0.866488i \(-0.666372\pi\)
−0.622766 + 0.782408i \(0.713991\pi\)
\(398\) 24.4201 + 5.57374i 1.22407 + 0.279386i
\(399\) −0.384261 0.979081i −0.0192371 0.0490154i
\(400\) 0.847655 + 11.3112i 0.0423828 + 0.565559i
\(401\) −1.16652 + 7.73937i −0.0582534 + 0.386486i 0.940638 + 0.339411i \(0.110228\pi\)
−0.998891 + 0.0470744i \(0.985010\pi\)
\(402\) 36.7428 + 39.5994i 1.83257 + 1.97504i
\(403\) −0.774980 1.60926i −0.0386045 0.0801631i
\(404\) 11.4678 + 7.81858i 0.570542 + 0.388989i
\(405\) 28.2120 + 11.0724i 1.40187 + 0.550192i
\(406\) −44.3035 13.6658i −2.19874 0.678223i
\(407\) 36.8669 + 34.2075i 1.82742 + 1.69560i
\(408\) 9.31972 + 8.28789i 0.461395 + 0.410312i
\(409\) −22.4362 28.1341i −1.10940 1.39114i −0.911689 0.410882i \(-0.865221\pi\)
−0.197711 0.980260i \(-0.563351\pi\)
\(410\) −33.8942 31.4492i −1.67391 1.55317i
\(411\) 3.22294 10.4485i 0.158976 0.515388i
\(412\) −1.88362 + 4.79938i −0.0927993 + 0.236449i
\(413\) 19.7415 28.9555i 0.971417 1.42481i
\(414\) −0.568762 1.18105i −0.0279531 0.0580452i
\(415\) 8.09154 + 8.72061i 0.397198 + 0.428078i
\(416\) 1.92980 + 0.290870i 0.0946162 + 0.0142611i
\(417\) 0.642567 + 8.57446i 0.0314666 + 0.419893i
\(418\) 1.52236 0.597481i 0.0744609 0.0292237i
\(419\) −24.1266 5.50673i −1.17866 0.269021i −0.412066 0.911154i \(-0.635193\pi\)
−0.766593 + 0.642133i \(0.778050\pi\)
\(420\) −18.1739 1.36194i −0.886793 0.0664560i
\(421\) −21.1625 + 6.52776i −1.03140 + 0.318144i −0.763845 0.645400i \(-0.776691\pi\)
−0.267551 + 0.963544i \(0.586215\pi\)
\(422\) −14.1829 + 29.4512i −0.690415 + 1.43366i
\(423\) −6.18780 10.7176i −0.300861 0.521107i
\(424\) −8.33843 + 14.4426i −0.404950 + 0.701394i
\(425\) −6.55194 6.76862i −0.317816 0.328326i
\(426\) −9.55804 41.8765i −0.463089 2.02892i
\(427\) 26.2841 3.96169i 1.27198 0.191720i
\(428\) −0.313579 0.250071i −0.0151574 0.0120876i
\(429\) 3.37849 0.163115
\(430\) 11.9209 29.2673i 0.574875 1.41139i
\(431\) 14.1742i 0.682747i −0.939928 0.341373i \(-0.889108\pi\)
0.939928 0.341373i \(-0.110892\pi\)
\(432\) 13.3274 + 10.6283i 0.641217 + 0.511354i
\(433\) −7.50384 + 1.13102i −0.360611 + 0.0543534i −0.326849 0.945076i \(-0.605987\pi\)
−0.0337621 + 0.999430i \(0.510749\pi\)
\(434\) 5.90760 + 25.8829i 0.283574 + 1.24242i
\(435\) 30.2508 + 44.3698i 1.45042 + 2.12737i
\(436\) −6.85938 3.96027i −0.328505 0.189662i
\(437\) −0.0868693 + 0.0501540i −0.00415552 + 0.00239919i
\(438\) 35.0215 + 16.8655i 1.67339 + 0.805864i
\(439\) −0.635931 2.06164i −0.0303513 0.0983966i 0.939130 0.343563i \(-0.111634\pi\)
−0.969481 + 0.245166i \(0.921158\pi\)
\(440\) −1.44689 + 19.3074i −0.0689778 + 0.920445i
\(441\) −0.125559 + 0.550109i −0.00597899 + 0.0261957i
\(442\) −2.05990 + 1.24806i −0.0979795 + 0.0593640i
\(443\) −2.48177 33.1170i −0.117913 1.57344i −0.671729 0.740797i \(-0.734448\pi\)
0.553817 0.832639i \(-0.313171\pi\)
\(444\) 24.9160 + 3.75548i 1.18246 + 0.178227i
\(445\) −11.7161 12.6270i −0.555398 0.598577i
\(446\) 33.2254 16.0005i 1.57327 0.757647i
\(447\) 5.11911 7.50836i 0.242126 0.355133i
\(448\) −1.83120 0.718695i −0.0865163 0.0339551i
\(449\) 7.91972 25.6751i 0.373755 1.21168i −0.552092 0.833783i \(-0.686170\pi\)
0.925847 0.377900i \(-0.123354\pi\)
\(450\) 4.05089 + 3.75867i 0.190961 + 0.177186i
\(451\) −29.6034 37.1215i −1.39397 1.74798i
\(452\) 14.4883 11.5540i 0.681471 0.543455i
\(453\) −29.7668 + 32.0810i −1.39857 + 1.50730i
\(454\) −4.39285 + 14.2413i −0.206166 + 0.668375i
\(455\) −0.878530 + 2.23846i −0.0411861 + 0.104941i
\(456\) −0.315366 + 0.462556i −0.0147683 + 0.0216612i
\(457\) 5.98515 2.88230i 0.279973 0.134828i −0.288628 0.957441i \(-0.593199\pi\)
0.568601 + 0.822613i \(0.307485\pi\)
\(458\) −19.6169 + 18.2018i −0.916637 + 0.850515i
\(459\) −14.1540 + 0.299183i −0.660650 + 0.0139647i
\(460\) 0.129887 + 1.73322i 0.00605602 + 0.0808120i
\(461\) −1.97251 5.02587i −0.0918689 0.234078i 0.877552 0.479481i \(-0.159175\pi\)
−0.969421 + 0.245403i \(0.921080\pi\)
\(462\) −48.9574 11.1742i −2.27770 0.519871i
\(463\) 0.745266 9.94488i 0.0346354 0.462178i −0.952741 0.303785i \(-0.901750\pi\)
0.987376 0.158393i \(-0.0506313\pi\)
\(464\) 13.9523 + 45.2323i 0.647720 + 2.09986i
\(465\) 13.3420 27.7050i 0.618721 1.28479i
\(466\) 23.1581 13.3703i 1.07278 0.619368i
\(467\) −14.4431 + 25.0161i −0.668346 + 1.15761i 0.310021 + 0.950730i \(0.399664\pi\)
−0.978367 + 0.206879i \(0.933669\pi\)
\(468\) 0.435051 0.296613i 0.0201102 0.0137109i
\(469\) −38.4931 + 8.78580i −1.77745 + 0.405690i
\(470\) 6.56222 + 43.5375i 0.302693 + 2.00824i
\(471\) −22.4273 17.8852i −1.03340 0.824107i
\(472\) −18.6533 −0.858589
\(473\) 16.5839 27.8939i 0.762531 1.28256i
\(474\) −1.35108 −0.0620572
\(475\) 0.263647 0.330603i 0.0120970 0.0151691i
\(476\) 12.6629 4.20104i 0.580403 0.192554i
\(477\) 3.46782 + 15.1935i 0.158781 + 0.695664i
\(478\) −32.0282 + 21.8365i −1.46494 + 0.998776i
\(479\) 3.71611 + 2.14550i 0.169793 + 0.0980303i 0.582488 0.812839i \(-0.302079\pi\)
−0.412695 + 0.910869i \(0.635412\pi\)
\(480\) 16.7993 + 29.0972i 0.766779 + 1.32810i
\(481\) 1.44253 2.99544i 0.0657737 0.136580i
\(482\) 0.872143 + 2.82742i 0.0397250 + 0.128785i
\(483\) 3.07143 + 0.230171i 0.139755 + 0.0104732i
\(484\) 3.56686 15.6274i 0.162130 0.710338i
\(485\) −10.6454 27.1240i −0.483382 1.23164i
\(486\) 23.3807 1.75214i 1.06057 0.0794787i
\(487\) 3.27866 21.7525i 0.148570 0.985699i −0.782970 0.622060i \(-0.786296\pi\)
0.931540 0.363639i \(-0.118466\pi\)
\(488\) −9.62325 10.3714i −0.435624 0.469491i
\(489\) −31.9505 + 15.3866i −1.44485 + 0.695805i
\(490\) 1.13085 1.65866i 0.0510867 0.0749305i
\(491\) 9.04458 23.0452i 0.408176 1.04002i −0.567998 0.823030i \(-0.692282\pi\)
0.976175 0.216986i \(-0.0696227\pi\)
\(492\) −22.7316 7.01176i −1.02482 0.316115i
\(493\) −32.9419 21.4539i −1.48363 0.966235i
\(494\) −0.0674068 0.0845255i −0.00303278 0.00380298i
\(495\) 11.2808 + 14.1457i 0.507036 + 0.635803i
\(496\) 18.4361 19.8694i 0.827807 0.892164i
\(497\) 29.9998 + 9.25372i 1.34568 + 0.415086i
\(498\) 15.2876 + 5.99994i 0.685054 + 0.268864i
\(499\) −1.67999 + 2.46410i −0.0752068 + 0.110308i −0.861999 0.506909i \(-0.830788\pi\)
0.786792 + 0.617218i \(0.211740\pi\)
\(500\) 3.77808 + 7.84526i 0.168961 + 0.350851i
\(501\) −4.95131 + 4.59414i −0.221208 + 0.205251i
\(502\) 12.1608 + 1.83295i 0.542764 + 0.0818086i
\(503\) −13.6862 + 1.02564i −0.610236 + 0.0457308i −0.376264 0.926513i \(-0.622791\pi\)
−0.233972 + 0.972243i \(0.575172\pi\)
\(504\) 4.97769 1.95360i 0.221724 0.0870203i
\(505\) 30.7377 + 7.01568i 1.36781 + 0.312194i
\(506\) −0.357890 + 4.77571i −0.0159101 + 0.212306i
\(507\) 7.93026 + 25.7093i 0.352195 + 1.14179i
\(508\) −0.248320 0.119584i −0.0110174 0.00530570i
\(509\) −4.52094 7.83051i −0.200387 0.347081i 0.748266 0.663399i \(-0.230887\pi\)
−0.948653 + 0.316318i \(0.897553\pi\)
\(510\) −38.9097 14.3296i −1.72295 0.634525i
\(511\) −23.4740 + 16.0043i −1.03843 + 0.707990i
\(512\) 3.38744 + 14.8413i 0.149705 + 0.655901i
\(513\) −0.0947139 0.628386i −0.00418172 0.0277439i
\(514\) −9.93221 + 12.4546i −0.438091 + 0.549349i
\(515\) 11.7117i 0.516080i
\(516\) −1.00751 16.2276i −0.0443530 0.714378i
\(517\) 45.2130i 1.98846i
\(518\) −30.8108 + 38.6356i −1.35375 + 1.69755i
\(519\) 18.9019 2.84901i 0.829702 0.125057i
\(520\) 1.24785 0.284813i 0.0547218 0.0124899i
\(521\) −0.585747 0.859133i −0.0256620 0.0376393i 0.813193 0.581994i \(-0.197727\pi\)
−0.838855 + 0.544354i \(0.816775\pi\)
\(522\) 19.9713 + 11.5305i 0.874122 + 0.504674i
\(523\) −6.68763 11.5833i −0.292430 0.506503i 0.681954 0.731395i \(-0.261130\pi\)
−0.974384 + 0.224892i \(0.927797\pi\)
\(524\) −6.80076 + 14.1219i −0.297093 + 0.616919i
\(525\) −12.4073 + 3.82715i −0.541500 + 0.167031i
\(526\) 0.219091 2.92356i 0.00955281 0.127473i
\(527\) −1.20747 + 22.4784i −0.0525982 + 0.979176i
\(528\) 18.7308 + 47.7252i 0.815151 + 2.07697i
\(529\) 1.69684 + 22.6428i 0.0737757 + 0.984468i
\(530\) 8.26362 54.8255i 0.358949 2.38147i
\(531\) −12.7780 + 11.8562i −0.554518 + 0.514517i
\(532\) 0.259842 + 0.539568i 0.0112656 + 0.0233932i
\(533\) −1.76814 + 2.59338i −0.0765866 + 0.112332i
\(534\) −22.1357 8.68761i −0.957904 0.375950i
\(535\) −0.870610 0.268548i −0.0376397 0.0116103i
\(536\) 15.4055 + 14.2942i 0.665417 + 0.617417i
\(537\) 23.6882 18.8907i 1.02222 0.815194i
\(538\) −7.89439 + 6.29557i −0.340351 + 0.271421i
\(539\) 1.40214 1.51115i 0.0603945 0.0650898i
\(540\) −10.5221 3.24564i −0.452800 0.139670i
\(541\) 8.58983 + 3.37126i 0.369306 + 0.144942i 0.542734 0.839905i \(-0.317389\pi\)
−0.173428 + 0.984847i \(0.555484\pi\)
\(542\) −5.04271 3.43806i −0.216603 0.147677i
\(543\) 49.1136 23.6519i 2.10767 1.01500i
\(544\) −19.5497 14.9256i −0.838188 0.639928i
\(545\) −17.7911 2.68158i −0.762087 0.114866i
\(546\) 0.248079 + 3.31039i 0.0106168 + 0.141672i
\(547\) 10.4772 4.11199i 0.447972 0.175816i −0.130621 0.991432i \(-0.541697\pi\)
0.578593 + 0.815616i \(0.303602\pi\)
\(548\) −1.38538 + 6.06977i −0.0591807 + 0.259288i
\(549\) −13.1843 0.988029i −0.562693 0.0421680i
\(550\) −5.95077 19.2919i −0.253742 0.822611i
\(551\) 0.765647 1.58988i 0.0326177 0.0677313i
\(552\) −0.819704 1.41977i −0.0348889 0.0604294i
\(553\) 0.493751 0.855202i 0.0209964 0.0363669i
\(554\) −10.9661 16.0843i −0.465906 0.683358i
\(555\) 55.8026 12.7366i 2.36869 0.540638i
\(556\) −0.729693 4.84120i −0.0309459 0.205313i
\(557\) −4.91126 + 6.15852i −0.208097 + 0.260945i −0.874916 0.484274i \(-0.839084\pi\)
0.666820 + 0.745219i \(0.267655\pi\)
\(558\) 13.2051i 0.559018i
\(559\) −2.08521 0.504087i −0.0881952 0.0213206i
\(560\) −36.4915 −1.54205
\(561\) −37.3164 20.5056i −1.57550 0.865747i
\(562\) 8.79773 1.32604i 0.371110 0.0559358i
\(563\) −3.47068 15.2060i −0.146272 0.640857i −0.993902 0.110270i \(-0.964828\pi\)
0.847630 0.530588i \(-0.178029\pi\)
\(564\) 12.7606 + 18.7164i 0.537320 + 0.788103i
\(565\) 21.0475 36.4553i 0.885474 1.53369i
\(566\) 27.6630 15.9712i 1.16276 0.671321i
\(567\) −13.2681 + 27.5516i −0.557209 + 1.15706i
\(568\) −4.92547 15.9680i −0.206668 0.670001i
\(569\) −0.272301 + 3.63360i −0.0114154 + 0.152329i 0.988583 + 0.150676i \(0.0481450\pi\)
−0.999999 + 0.00165247i \(0.999474\pi\)
\(570\) 0.414168 1.81459i 0.0173476 0.0760047i
\(571\) −28.8822 + 11.3354i −1.20868 + 0.474374i −0.882221 0.470836i \(-0.843952\pi\)
−0.326464 + 0.945210i \(0.605857\pi\)
\(572\) −1.91829 + 0.143756i −0.0802079 + 0.00601075i
\(573\) 1.17348 7.78553i 0.0490228 0.325245i
\(574\) 34.1994 31.7324i 1.42746 1.32449i
\(575\) 0.537274 + 1.11566i 0.0224059 + 0.0465263i
\(576\) 0.808452 + 0.551193i 0.0336855 + 0.0229664i
\(577\) 14.2623 36.3398i 0.593748 1.51284i −0.245667 0.969354i \(-0.579007\pi\)
0.839415 0.543491i \(-0.182898\pi\)
\(578\) 30.3272 1.28267i 1.26144 0.0533520i
\(579\) 27.5918 + 25.6015i 1.14668 + 1.06396i
\(580\) −19.0643 23.9058i −0.791600 0.992635i
\(581\) −9.38467 + 7.48402i −0.389342 + 0.310490i
\(582\) −29.4872 27.3602i −1.22229 1.13411i
\(583\) 16.7820 54.4059i 0.695040 2.25326i
\(584\) 14.0768 + 5.52474i 0.582502 + 0.228615i
\(585\) 0.673777 0.988249i 0.0278573 0.0408591i
\(586\) 25.4590 12.2604i 1.05170 0.506474i
\(587\) −2.82835 + 2.62432i −0.116738 + 0.108317i −0.736382 0.676566i \(-0.763467\pi\)
0.619644 + 0.784883i \(0.287277\pi\)
\(588\) 0.153935 1.02129i 0.00634815 0.0421172i
\(589\) −1.00764 + 0.0755121i −0.0415191 + 0.00311142i
\(590\) 57.7290 22.6570i 2.37666 0.932772i
\(591\) 7.76930 34.0395i 0.319586 1.40020i
\(592\) 50.3117 + 3.77034i 2.06780 + 0.154960i
\(593\) −25.8061 + 7.96014i −1.05973 + 0.326884i −0.775156 0.631770i \(-0.782329\pi\)
−0.284575 + 0.958654i \(0.591853\pi\)
\(594\) −27.3358 13.1642i −1.12160 0.540135i
\(595\) 23.2898 19.3922i 0.954789 0.795002i
\(596\) −2.58713 + 4.48104i −0.105973 + 0.183550i
\(597\) 24.1871 16.4905i 0.989911 0.674910i
\(598\) 0.308656 0.0704488i 0.0126219 0.00288087i
\(599\) 24.4163 3.68016i 0.997621 0.150367i 0.370121 0.928984i \(-0.379316\pi\)
0.627500 + 0.778616i \(0.284078\pi\)
\(600\) 5.40330 + 4.30899i 0.220589 + 0.175914i
\(601\) 0.122966i 0.00501590i −0.999997 0.00250795i \(-0.999202\pi\)
0.999997 0.00250795i \(-0.000798306\pi\)
\(602\) 28.5494 + 14.2014i 1.16359 + 0.578806i
\(603\) 19.6387 0.799750
\(604\) 15.5364 19.4821i 0.632168 0.792714i
\(605\) −5.42689 36.0051i −0.220634 1.46381i
\(606\) 42.4334 9.68516i 1.72374 0.393433i
\(607\) 17.8931 + 26.2443i 0.726257 + 1.06522i 0.994789 + 0.101952i \(0.0325090\pi\)
−0.268532 + 0.963271i \(0.586539\pi\)
\(608\) 0.552032 0.956148i 0.0223879 0.0387769i
\(609\) −46.9252 + 27.0923i −1.90151 + 1.09783i
\(610\) 42.3798 + 20.4090i 1.71591 + 0.826338i
\(611\) 2.85612 0.880996i 0.115546 0.0356413i
\(612\) −6.60554 + 0.635650i −0.267013 + 0.0256946i
\(613\) −0.839459 + 3.67791i −0.0339054 + 0.148549i −0.989047 0.147600i \(-0.952845\pi\)
0.955142 + 0.296149i \(0.0957025\pi\)
\(614\) −3.97629 10.1314i −0.160470 0.408871i
\(615\) −53.8860 + 4.03820i −2.17289 + 0.162836i
\(616\) −19.3177 2.91168i −0.778333 0.117315i
\(617\) 8.92909 + 9.62327i 0.359472 + 0.387418i 0.886731 0.462286i \(-0.152971\pi\)
−0.527259 + 0.849705i \(0.676780\pi\)
\(618\) 7.01505 + 14.5669i 0.282187 + 0.585967i
\(619\) −21.4429 + 31.4510i −0.861864 + 1.26412i 0.101205 + 0.994866i \(0.467730\pi\)
−0.963069 + 0.269256i \(0.913222\pi\)
\(620\) −6.39668 + 16.2985i −0.256897 + 0.654563i
\(621\) 1.77826 + 0.548522i 0.0713593 + 0.0220114i
\(622\) −3.86254 + 4.16283i −0.154874 + 0.166914i
\(623\) 13.5885 10.8365i 0.544412 0.434154i
\(624\) 2.64984 2.11317i 0.106078 0.0845947i
\(625\) 22.8739 + 21.2239i 0.914956 + 0.848955i
\(626\) −7.50957 + 24.3454i −0.300143 + 0.973040i
\(627\) 0.698274 1.77917i 0.0278864 0.0710533i
\(628\) 13.4952 + 9.20085i 0.538516 + 0.367154i
\(629\) −34.1138 + 24.3301i −1.36021 + 0.970106i
\(630\) −13.0322 + 12.0921i −0.519216 + 0.481762i
\(631\) −24.3217 3.66590i −0.968231 0.145937i −0.354157 0.935186i \(-0.615232\pi\)
−0.614074 + 0.789249i \(0.710470\pi\)
\(632\) −0.524147 + 0.0392794i −0.0208495 + 0.00156245i
\(633\) 13.9570 + 35.5620i 0.554743 + 1.41346i
\(634\) −14.6242 3.33787i −0.580799 0.132564i
\(635\) −0.624326 0.0467868i −0.0247756 0.00185668i
\(636\) −8.40810 27.2584i −0.333403 1.08087i
\(637\) −0.122781 0.0591283i −0.00486476 0.00234275i
\(638\) −42.1253 72.9632i −1.66776 2.88864i
\(639\) −13.5235 7.80778i −0.534980 0.308871i
\(640\) 16.1788 + 23.7300i 0.639524 + 0.938010i
\(641\) 27.3167 6.23485i 1.07894 0.246262i 0.354123 0.935199i \(-0.384780\pi\)
0.724821 + 0.688937i \(0.241922\pi\)
\(642\) −1.24371 + 0.187459i −0.0490852 + 0.00739841i
\(643\) −11.5589 9.21792i −0.455839 0.363519i 0.368489 0.929632i \(-0.379875\pi\)
−0.824328 + 0.566113i \(0.808447\pi\)
\(644\) −1.75374 −0.0691069
\(645\) −15.5976 33.4778i −0.614156 1.31819i
\(646\) 0.231504 + 1.34273i 0.00910840 + 0.0528290i
\(647\) 14.3615 18.0087i 0.564608 0.707996i −0.414794 0.909915i \(-0.636146\pi\)
0.979402 + 0.201919i \(0.0647178\pi\)
\(648\) 16.0950 2.42592i 0.632269 0.0952993i
\(649\) 62.0865 14.1708i 2.43711 0.556254i
\(650\) −1.10272 + 0.751824i −0.0432524 + 0.0294890i
\(651\) 26.8703 + 15.5136i 1.05313 + 0.608025i
\(652\) 17.4867 10.0959i 0.684831 0.395388i
\(653\) 4.60712 9.56679i 0.180291 0.374378i −0.791163 0.611605i \(-0.790524\pi\)
0.971454 + 0.237227i \(0.0762386\pi\)
\(654\) −23.7346 + 7.32114i −0.928095 + 0.286279i
\(655\) −2.66076 + 35.5054i −0.103965 + 1.38731i
\(656\) −46.4373 10.5990i −1.81307 0.413822i
\(657\) 13.1545 5.16278i 0.513207 0.201419i
\(658\) −44.3016 + 3.31994i −1.72705 + 0.129425i
\(659\) 26.1871 + 3.94707i 1.02010 + 0.153756i 0.637737 0.770255i \(-0.279871\pi\)
0.382367 + 0.924010i \(0.375109\pi\)
\(660\) −22.5259 24.2771i −0.876818 0.944985i
\(661\) −2.99266 + 1.44119i −0.116401 + 0.0560558i −0.491178 0.871059i \(-0.663434\pi\)
0.374777 + 0.927115i \(0.377719\pi\)
\(662\) 0.0226508 + 0.0154431i 0.000880349 + 0.000600212i
\(663\) −0.568218 + 2.75685i −0.0220677 + 0.107067i
\(664\) 6.10521 + 1.88321i 0.236928 + 0.0730826i
\(665\) 0.997234 + 0.925298i 0.0386711 + 0.0358815i
\(666\) 19.2172 15.3252i 0.744651 0.593839i
\(667\) 3.22191 + 4.04014i 0.124753 + 0.156435i
\(668\) 2.61585 2.81922i 0.101210 0.109079i
\(669\) 12.7035 41.1838i 0.491146 1.59226i
\(670\) −65.0397 25.5262i −2.51270 0.986164i
\(671\) 39.9095 + 27.2098i 1.54069 + 1.05042i
\(672\) −30.5439 + 14.7092i −1.17826 + 0.567418i
\(673\) 7.18999 + 7.74897i 0.277154 + 0.298701i 0.856253 0.516556i \(-0.172786\pi\)
−0.579100 + 0.815257i \(0.696596\pi\)
\(674\) 4.67404 31.0102i 0.180037 1.19447i
\(675\) −7.82303 + 0.586255i −0.301108 + 0.0225650i
\(676\) −5.59671 14.2602i −0.215258 0.548469i
\(677\) −19.1298 4.36625i −0.735218 0.167809i −0.161513 0.986871i \(-0.551637\pi\)
−0.573705 + 0.819062i \(0.694494\pi\)
\(678\) 4.34272 57.9496i 0.166781 2.22554i
\(679\) 28.0944 8.66598i 1.07816 0.332570i
\(680\) −15.5115 4.42791i −0.594839 0.169803i
\(681\) 8.70876 + 15.0840i 0.333720 + 0.578021i
\(682\) −24.1218 + 41.7801i −0.923670 + 1.59984i
\(683\) 18.6102 + 27.2962i 0.712101 + 1.04446i 0.996321 + 0.0857014i \(0.0273131\pi\)
−0.284220 + 0.958759i \(0.591735\pi\)
\(684\) −0.0662842 0.290410i −0.00253444 0.0111041i
\(685\) 2.10783 + 13.9845i 0.0805360 + 0.534321i
\(686\) −25.0287 19.9597i −0.955601 0.762067i
\(687\) 31.2750i 1.19321i
\(688\) −4.43985 32.2508i −0.169268 1.22955i
\(689\) −3.76384 −0.143391
\(690\) 4.26135 + 3.39831i 0.162227 + 0.129371i
\(691\) 1.33079 + 8.82925i 0.0506258 + 0.335880i 0.999778 + 0.0210632i \(0.00670511\pi\)
−0.949152 + 0.314817i \(0.898057\pi\)
\(692\) −10.6112 + 2.42194i −0.403378 + 0.0920683i
\(693\) −15.0838 + 10.2840i −0.572986 + 0.390656i
\(694\) 12.8467 + 7.41705i 0.487655 + 0.281547i
\(695\) −5.56067 9.63137i −0.210928 0.365339i
\(696\) 25.9846 + 12.5135i 0.984945 + 0.474325i
\(697\) 35.2700 17.9130i 1.33595 0.678503i
\(698\) 0.199417 2.66104i 0.00754806 0.100722i
\(699\) 6.95415 30.4681i 0.263030 1.15241i
\(700\) 6.88198 2.70098i 0.260115 0.102087i
\(701\) 0.480375 + 6.41016i 0.0181435 + 0.242108i 0.998901 + 0.0468768i \(0.0149268\pi\)
−0.980757 + 0.195232i \(0.937454\pi\)
\(702\) −0.298938 + 1.98332i −0.0112827 + 0.0748557i
\(703\) −1.27931 1.37876i −0.0482500 0.0520011i
\(704\) −1.55102 3.22074i −0.0584564 0.121386i
\(705\) 42.5157 + 28.9867i 1.60123 + 1.09170i
\(706\) −4.19672 + 10.6931i −0.157946 + 0.402439i
\(707\) −9.37679 + 30.3988i −0.352650 + 1.14326i
\(708\) 21.7019 23.3891i 0.815607 0.879016i
\(709\) 21.0039 16.7501i 0.788819 0.629062i −0.143930 0.989588i \(-0.545974\pi\)
0.932749 + 0.360526i \(0.117403\pi\)
\(710\) 34.6387 + 43.4356i 1.29997 + 1.63011i
\(711\) −0.334087 + 0.360061i −0.0125293 + 0.0135033i
\(712\) −8.84003 2.72679i −0.331294 0.102191i
\(713\) 1.08106 2.75448i 0.0404858 0.103156i
\(714\) 17.3521 38.0698i 0.649387 1.42473i
\(715\) −3.93702 + 1.89597i −0.147236 + 0.0709052i
\(716\) −12.6463 + 11.7340i −0.472613 + 0.438520i
\(717\) −6.75209 + 44.7972i −0.252161 + 1.67298i
\(718\) 1.36538 + 18.2197i 0.0509554 + 0.679953i
\(719\) −2.84676 + 1.11727i −0.106166 + 0.0416671i −0.417830 0.908525i \(-0.637209\pi\)
0.311663 + 0.950193i \(0.399114\pi\)
\(720\) 17.6957 + 4.03892i 0.659479 + 0.150522i
\(721\) −11.7842 0.883100i −0.438865 0.0328884i
\(722\) 32.3597 9.98166i 1.20430 0.371479i
\(723\) 3.11557 + 1.50038i 0.115869 + 0.0557998i
\(724\) −26.8801 + 15.5192i −0.998992 + 0.576768i
\(725\) −18.8657 10.8921i −0.700654 0.404523i
\(726\) −28.3161 41.5321i −1.05091 1.54140i
\(727\) 10.1403 + 44.4277i 0.376084 + 1.64773i 0.709318 + 0.704889i \(0.249003\pi\)
−0.333233 + 0.942844i \(0.608140\pi\)
\(728\) 0.192483 + 1.27704i 0.00713390 + 0.0473303i
\(729\) −3.91864 + 4.91382i −0.145135 + 0.181993i
\(730\) −50.2759 −1.86079
\(731\) 19.9722 + 18.2239i 0.738700 + 0.674034i
\(732\) 24.2005 0.894477
\(733\) −16.2145 + 20.3323i −0.598896 + 0.750992i −0.985206 0.171377i \(-0.945178\pi\)
0.386309 + 0.922369i \(0.373750\pi\)
\(734\) −0.512748 3.40186i −0.0189259 0.125565i
\(735\) −0.522064 2.28731i −0.0192566 0.0843687i
\(736\) 1.82128 + 2.67133i 0.0671334 + 0.0984666i
\(737\) −62.1356 35.8740i −2.28879 1.32143i
\(738\) −20.0964 + 11.6026i −0.739757 + 0.427099i
\(739\) −20.5392 9.89115i −0.755546 0.363852i 0.0161278 0.999870i \(-0.494866\pi\)
−0.771674 + 0.636018i \(0.780580\pi\)
\(740\) −31.1426 + 9.60621i −1.14482 + 0.353131i
\(741\) −0.125997 0.00944217i −0.00462862 0.000346867i
\(742\) 54.5415 + 12.4487i 2.00228 + 0.457008i
\(743\) −29.6634 + 11.6420i −1.08824 + 0.427104i −0.840550 0.541734i \(-0.817768\pi\)
−0.247693 + 0.968838i \(0.579673\pi\)
\(744\) −1.23415 16.4686i −0.0452462 0.603768i
\(745\) −1.75180 + 11.6224i −0.0641808 + 0.425812i
\(746\) 8.51358 7.89945i 0.311704 0.289219i
\(747\) 5.37921 2.59049i 0.196815 0.0947810i
\(748\) 22.0606 + 10.0552i 0.806616 + 0.367653i
\(749\) 0.335855 0.855744i 0.0122719 0.0312682i
\(750\) 26.0930 + 8.04862i 0.952782 + 0.293894i
\(751\) −29.6628 + 31.9688i −1.08241 + 1.16656i −0.0971893 + 0.995266i \(0.530985\pi\)
−0.985220 + 0.171294i \(0.945205\pi\)