Properties

Label 731.2.z.a.67.15
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 67.15
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.15

$q$-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} +(2.86767 - 2.96251i) 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} +(0.943160 + 7.30133i) 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} +(-7.00490 - 4.99592i) 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} +(-4.18993 - 2.53860i) 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 \(-0.841832\pi\)
0.699499 0.714633i \(-0.253406\pi\)
\(4\) −0.264394 1.15839i −0.132197 0.579194i
\(5\) 1.52042 + 2.23004i 0.679951 + 0.997305i 0.998775 + 0.0494912i \(0.0157600\pi\)
−0.318823 + 0.947814i \(0.603288\pi\)
\(6\) 3.22682 + 1.86301i 1.31734 + 0.760569i
\(7\) −2.35848 + 1.36167i −0.891421 + 0.514662i −0.874407 0.485193i \(-0.838749\pi\)
−0.0170138 + 0.999855i \(0.505416\pi\)
\(8\) −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 −0.579183 0.815197i \(-0.696629\pi\)
−0.875527 + 0.483169i \(0.839486\pi\)
\(12\) −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
\(17\) 2.86767 2.96251i 0.695512 0.718514i
\(18\) 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 −0.770314 0.637665i \(-0.779900\pi\)
0.693447 + 0.720507i \(0.256091\pi\)
\(24\) −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 \(-0.606359\pi\)
0.591837 0.806058i \(-0.298403\pi\)
\(30\) 0.751532 + 10.0285i 0.137210 + 1.83094i
\(31\) −5.08228 + 1.99465i −0.912804 + 0.358249i −0.774817 0.632185i \(-0.782158\pi\)
−0.137986 + 0.990434i \(0.544063\pi\)
\(32\) −1.32743 + 5.81585i −0.234659 + 1.02811i
\(33\) −0.771736 + 10.2981i −0.134342 + 1.79267i
\(34\) 0.943160 + 7.30133i 0.161751 + 1.25217i
\(35\) −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 −0.448582 0.893742i \(-0.648071\pi\)
−0.998294 + 0.0583872i \(0.981404\pi\)
\(38\) 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 0.998712 0.0507439i \(-0.0161592\pi\)
0.172763 + 0.984963i \(0.444731\pi\)
\(42\) −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
\(51\) −7.00490 4.99592i −0.980882 0.699569i
\(52\) −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 −0.296418 0.955058i \(-0.595792\pi\)
−0.866894 + 0.498492i \(0.833887\pi\)
\(62\) 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 \(0.941496\pi\)
\(68\) −4.18993 2.53860i −0.508104 0.307851i
\(69\) 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 \(-0.998308\pi\)
0.0694271 0.997587i \(-0.477883\pi\)
\(72\) 1.94159 + 0.292648i 0.228819 + 0.0344889i
\(73\) 10.4032 0.779608i 1.21760 0.0912463i 0.549611 0.835421i \(-0.314776\pi\)
0.667986 + 0.744174i \(0.267157\pi\)
\(74\) 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 −0.517561 0.855646i \(-0.673160\pi\)
0.482231 + 0.876044i \(0.339827\pi\)
\(80\) 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 −0.348209 0.937417i \(-0.613210\pi\)
−0.720456 + 0.693501i \(0.756067\pi\)
\(98\) 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 \(0.459308\pi\)
\(102\) 14.7726 4.21700i 1.46271 0.417545i
\(103\) −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 −0.636164 0.771554i \(-0.719480\pi\)
0.610650 + 0.791901i \(0.290908\pi\)
\(108\) −3.18966 + 2.54367i −0.306926 + 0.244765i
\(109\) −4.53411 + 4.88661i −0.434289 + 0.468053i −0.911836 0.410554i \(-0.865335\pi\)
0.477547 + 0.878606i \(0.341526\pi\)
\(110\) 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 \(-0.880701\pi\)
0.293999 0.955806i \(-0.405014\pi\)
\(114\) −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
\(119\) −2.72939 + 10.8918i −0.250202 + 0.998452i
\(120\) −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 0.960104 0.279643i \(-0.0902162\pi\)
−0.0589888 + 0.998259i \(0.518788\pi\)
\(132\) 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
\(136\) −5.60839 + 2.06545i −0.480916 + 0.177111i
\(137\) −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 −0.100679 0.994919i \(-0.532102\pi\)
−0.247840 + 0.968801i \(0.579721\pi\)
\(140\) −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
\(153\) −2.52907 + 4.97964i −0.204463 + 0.402580i
\(154\) −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 \(-0.863441\pi\)
0.517036 0.855963i \(-0.327035\pi\)
\(164\) 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 0.749187 0.662359i \(-0.230445\pi\)
−0.890281 + 0.455412i \(0.849492\pi\)
\(168\) −1.83306 8.03117i −0.141424 0.619618i
\(169\) 12.7490 1.92160i 0.980690 0.147815i
\(170\) −14.8483 + 13.2044i −1.13881 + 1.01273i
\(171\) 0.250702 0.0191717
\(172\) −7.76153 0.681600i −0.591811 0.0519715i
\(173\) 9.16032i 0.696447i 0.937412 + 0.348223i \(0.113215\pi\)
−0.937412 + 0.348223i \(0.886785\pi\)
\(174\) 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 \(0.327710\pi\)
0.0571025 + 0.998368i \(0.481814\pi\)
\(182\) −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
\(187\) −17.0981 + 11.1354i −1.25034 + 0.814300i
\(188\) 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 −0.981797 0.189934i \(-0.939173\pi\)
−0.0332989 + 0.999445i \(0.510601\pi\)
\(194\) 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 0.848190 0.529692i \(-0.177693\pi\)
0.261485 + 0.965208i \(0.415788\pi\)
\(198\) −6.74265 + 9.88965i −0.479179 + 0.702827i
\(199\) 6.08664 + 12.6390i 0.431471 + 0.895958i 0.997438 + 0.0715308i \(0.0227884\pi\)
−0.565968 + 0.824427i \(0.691497\pi\)
\(200\) 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
\(204\) −3.93516 + 9.43528i −0.275516 + 0.660602i
\(205\) −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 −0.787140 0.616774i \(-0.788439\pi\)
−0.441581 + 0.897222i \(0.645582\pi\)
\(212\) −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
\(221\) −1.03659 0.863113i −0.0697286 0.0580593i
\(222\) −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 −0.608892 0.793253i \(-0.708386\pi\)
0.0931994 + 0.995647i \(0.470291\pi\)
\(228\) 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 0.775011 0.631948i \(-0.217744\pi\)
0.138289 + 0.990392i \(0.455840\pi\)
\(234\) −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
\(238\) −12.1664 15.9358i −0.788631 1.03296i
\(239\) 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 −0.855127 0.518419i \(-0.826521\pi\)
0.794995 + 0.606615i \(0.207473\pi\)
\(242\) −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
\(255\) 0.490757 23.2171i 0.0307324 1.45391i
\(256\) 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 0.0511152 0.998693i \(-0.483722\pi\)
−0.387263 + 0.921969i \(0.626580\pi\)
\(270\) 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 \(0.943085\pi\)
\(272\) 6.44552 19.4282i 0.390817 1.17801i
\(273\) 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 \(-0.798544\pi\)
0.999405 0.0344864i \(-0.0109795\pi\)
\(278\) 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 0.804371 0.594127i \(-0.202502\pi\)
0.185537 + 0.982637i \(0.440598\pi\)
\(284\) −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
\(289\) −0.552923 16.9910i −0.0325249 0.999471i
\(290\) −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
\(306\) −4.13602 9.07425i −0.236440 0.518740i
\(307\) −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 −0.0154944 0.999880i \(-0.504932\pi\)
−0.164346 + 0.986403i \(0.552551\pi\)
\(312\) 0.964778 + 0.220204i 0.0546198 + 0.0124666i
\(313\) −13.2823 + 5.21292i −0.750760 + 0.294652i −0.709699 0.704505i \(-0.751169\pi\)
−0.0410612 + 0.999157i \(0.513074\pi\)
\(314\) −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 0.773174 0.634194i \(-0.218668\pi\)
−0.977899 + 0.209078i \(0.932954\pi\)
\(318\) 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
\(323\) −0.668775 + 0.367496i −0.0372116 + 0.0204480i
\(324\) 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 −0.0247949 0.999693i \(-0.507893\pi\)
0.853362 + 0.521319i \(0.174560\pi\)
\(338\) −11.5105 + 19.9368i −0.626089 + 1.08442i
\(339\) −26.8906 + 18.3337i −1.46050 + 0.995751i
\(340\) −0.709248 13.2035i −0.0384643 0.716058i
\(341\) 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 \(0.0239644\pi\)
−0.930696 + 0.365794i \(0.880798\pi\)
\(348\) 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
\(357\) 23.3237 + 2.24443i 1.23442 + 0.118788i
\(358\) 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 −0.697920 0.716176i \(-0.745891\pi\)
0.766329 + 0.642449i \(0.222081\pi\)
\(368\) −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 \(0.601477\pi\)
\(374\) 3.48983 36.2656i 0.180455 1.87525i
\(375\) −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 \(-0.703386\pi\)
0.999414 0.0342343i \(-0.0108992\pi\)
\(380\) −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
\(391\) 0.119865 + 2.23142i 0.00606181 + 0.112848i
\(392\) −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 0.622766 0.782408i \(-0.286009\pi\)
0.499198 + 0.866488i \(0.333628\pi\)
\(398\) −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 \(-0.889772\pi\)
0.998891 0.0470744i \(-0.0149898\pi\)
\(402\) −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
\(408\) 6.00626 + 10.9303i 0.297354 + 0.541130i
\(409\) −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 0.766593 0.642133i \(-0.221950\pi\)
0.412066 + 0.911154i \(0.364807\pi\)
\(420\) 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
\(425\) 3.90704 + 8.57188i 0.189519 + 0.415797i
\(426\) −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 \(0.110892\pi\)
−0.939928 + 0.341373i \(0.889108\pi\)
\(432\) −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 0.969481 0.245166i \(-0.0788424\pi\)
−0.939130 + 0.343563i \(0.888366\pi\)
\(440\) −1.44689 + 19.3074i −0.0689778 + 0.920445i
\(441\) −0.125559 + 0.550109i −0.00597899 + 0.0261957i
\(442\) 2.35891 0.486198i 0.112202 0.0231261i
\(443\) −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 \(0.313830\pi\)
−0.925847 + 0.377900i \(0.876646\pi\)
\(450\) 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
\(459\) −13.4370 4.45784i −0.627183 0.208074i
\(460\) 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
\(476\) 13.3386 + 0.281948i 0.611373 + 0.0129231i
\(477\) 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 0.412695 0.910869i \(-0.364588\pi\)
−0.582488 + 0.812839i \(0.697921\pi\)
\(480\) 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 \(0.213704\pi\)
−0.931540 + 0.363639i \(0.881534\pi\)
\(488\) 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
\(493\) −23.8557 31.2465i −1.07441 1.40727i
\(494\) −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 −0.786792 0.617218i \(-0.788260\pi\)
0.861999 + 0.506909i \(0.169212\pi\)
\(500\) −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 0.233972 0.972243i \(-0.424828\pi\)
0.376264 + 0.926513i \(0.377209\pi\)
\(504\) −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 \(0.897553\pi\)
\(510\) 31.8647 + 26.5320i 1.41099 + 1.17486i
\(511\) −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 0.838855 0.544354i \(-0.183225\pi\)
−0.813193 + 0.581994i \(0.802273\pi\)
\(522\) −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
\(527\) −8.66514 + 20.7763i −0.377459 + 0.905029i
\(528\) 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 0.173428 0.984847i \(-0.444516\pi\)
−0.542734 + 0.839905i \(0.682611\pi\)
\(542\) −5.04271 3.43806i −0.216603 0.147677i
\(543\) 49.1136 23.6519i 2.10767 1.01500i
\(544\) 13.4229 + 20.6105i 0.575501 + 0.883666i
\(545\) −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 −0.578593 0.815616i \(-0.696398\pi\)
0.130621 + 0.991432i \(0.458303\pi\)
\(548\) −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
\(561\) 28.2951 + 31.8179i 1.19462 + 1.34335i
\(562\) 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 0.326464 0.945210i \(-0.394143\pi\)
0.882221 + 0.470836i \(0.156048\pi\)
\(572\) 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 \(-0.182898\pi\)
\(578\) 24.3349 + 18.1437i 1.01220 + 0.754679i
\(579\) 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
\(595\) −28.4390 + 10.4735i −1.16589 + 0.429371i
\(596\) −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 \(0.000798306\pi\)
−0.999997 + 0.00250795i \(0.999202\pi\)
\(602\) −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 \(-0.967491\pi\)
0.268532 0.963271i \(-0.413461\pi\)
\(608\) 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
\(612\) 6.43702 + 1.61305i 0.260201 + 0.0652038i
\(613\) −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 0.527259 0.849705i \(-0.323220\pi\)
−0.886731 + 0.462286i \(0.847029\pi\)
\(618\) −7.01505 14.5669i −0.282187 0.585967i
\(619\) 21.4429 31.4510i 0.861864 1.26412i −0.101205 0.994866i \(-0.532270\pi\)
0.963069 0.269256i \(-0.0867779\pi\)
\(620\) −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
\(629\) −40.2917 + 11.5017i −1.60653 + 0.458602i
\(630\) −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 −0.724821 0.688937i \(-0.758078\pi\)
−0.354123 + 0.935199i \(0.615220\pi\)
\(642\) −1.24371 + 0.187459i −0.0490852 + 0.00739841i
\(643\) 11.5589 + 9.21792i 0.455839 + 0.363519i 0.824328 0.566113i \(-0.191553\pi\)
−0.368489 + 0.929632i \(0.620125\pi\)
\(644\) −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 −0.971454 0.237227i \(-0.923761\pi\)
0.791163 + 0.611605i \(0.209476\pi\)
\(654\) −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
\(663\) −1.45860 + 2.40740i −0.0566473 + 0.0934956i
\(664\) 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 0.579100 0.815257i \(-0.303404\pi\)
−0.856253 + 0.516556i \(0.827214\pi\)
\(674\) −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 0.573705 0.819062i \(-0.305506\pi\)
0.161513 + 0.986871i \(0.448363\pi\)
\(678\) 4.34272 57.9496i 0.166781 2.22554i
\(679\) 28.0944 8.66598i 1.07816 0.332570i
\(680\) −13.1331 9.36661i −0.503633 0.359193i
\(681\) 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 \(-0.972687\pi\)
0.284220 0.958759i \(-0.408265\pi\)
\(684\) −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 \(-0.993295\pi\)
0.949152 0.314817i \(-0.101943\pi\)
\(692\) 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
\(697\) 39.2322 5.06787i 1.48602 0.191959i
\(698\) 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 −0.932749 0.360526i \(-0.882597\pi\)
0.143930 + 0.989588i \(0.454026\pi\)
\(710\) 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
\(714\) −29.0988 + 30.0611i −1.08899 + 1.12501i
\(715\) −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 −0.311663 0.950193i \(-0.600886\pi\)
0.417830 + 0.908525i \(0.362791\pi\)
\(720\) −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
\(731\) −12.7165 23.8598i −0.470336 0.882488i
\(732\) 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 0.247693 0.968838i \(-0.420327\pi\)
0.840550 + 0.541734i \(0.182232\pi\)
\(744\) −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
\(748\) 17.4197 + 16.8621i 0.636929 + 0.616539i
\(749\) 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 \(-0.469015\pi\)
0.985220 0.171294i \(-0.0547948\pi\)
\(752\)