Properties

Label 384.2.w.a.11.13
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.13
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.11732 - 0.866940i) q^{2} +(1.27976 - 1.16714i) q^{3} +(0.496829 + 1.93731i) q^{4} +(-2.95304 - 1.57843i) q^{5} +(-2.44175 + 0.194595i) q^{6} +(-1.29330 - 0.257253i) q^{7} +(1.12441 - 2.59532i) q^{8} +(0.275578 - 2.98732i) q^{9} +O(q^{10})\) \(q+(-1.11732 - 0.866940i) q^{2} +(1.27976 - 1.16714i) q^{3} +(0.496829 + 1.93731i) q^{4} +(-2.95304 - 1.57843i) q^{5} +(-2.44175 + 0.194595i) q^{6} +(-1.29330 - 0.257253i) q^{7} +(1.12441 - 2.59532i) q^{8} +(0.275578 - 2.98732i) q^{9} +(1.93109 + 4.32373i) q^{10} +(-0.793729 + 0.651397i) q^{11} +(2.89693 + 1.89942i) q^{12} +(-0.787862 + 0.421121i) q^{13} +(1.22201 + 1.40865i) q^{14} +(-5.62143 + 1.42659i) q^{15} +(-3.50632 + 1.92502i) q^{16} +(-2.18009 + 0.903022i) q^{17} +(-2.89774 + 3.09889i) q^{18} +(-0.960720 + 3.16707i) q^{19} +(1.59075 - 6.50515i) q^{20} +(-1.95537 + 1.18024i) q^{21} +(1.45158 - 0.0397057i) q^{22} +(-3.39191 - 2.26640i) q^{23} +(-1.59012 - 4.63374i) q^{24} +(3.45113 + 5.16498i) q^{25} +(1.24538 + 0.212500i) q^{26} +(-3.13394 - 4.14469i) q^{27} +(-0.144169 - 2.63333i) q^{28} +(-5.01064 - 4.11212i) q^{29} +(7.51772 + 3.27948i) q^{30} +(-0.756547 + 0.756547i) q^{31} +(5.58658 + 0.888901i) q^{32} +(-0.255514 + 1.76002i) q^{33} +(3.21873 + 0.881038i) q^{34} +(3.41310 + 2.80106i) q^{35} +(5.92427 - 0.950305i) q^{36} +(-0.944277 - 3.11287i) q^{37} +(3.81910 - 2.70576i) q^{38} +(-0.516769 + 1.45848i) q^{39} +(-7.41696 + 5.88928i) q^{40} +(9.51538 + 6.35797i) q^{41} +(3.20797 + 0.376478i) q^{42} +(1.19133 - 12.0958i) q^{43} +(-1.65630 - 1.21407i) q^{44} +(-5.52906 + 8.38667i) q^{45} +(1.82503 + 5.47290i) q^{46} +(0.478143 - 0.198053i) q^{47} +(-2.24049 + 6.55593i) q^{48} +(-4.86071 - 2.01337i) q^{49} +(0.621698 - 8.76288i) q^{50} +(-1.73604 + 3.70012i) q^{51} +(-1.20727 - 1.31711i) q^{52} +(-9.92515 + 8.14536i) q^{53} +(-0.0915749 + 7.34790i) q^{54} +(3.37210 - 0.670751i) q^{55} +(-2.12186 + 3.06727i) q^{56} +(2.46691 + 5.17439i) q^{57} +(2.03354 + 8.93850i) q^{58} +(-5.59462 - 2.99039i) q^{59} +(-5.55662 - 10.1817i) q^{60} +(-0.540516 - 5.48795i) q^{61} +(1.50119 - 0.189427i) q^{62} +(-1.12490 + 3.79260i) q^{63} +(-5.47140 - 5.83642i) q^{64} +2.99129 q^{65} +(1.81133 - 1.74500i) q^{66} +(11.0121 - 1.08459i) q^{67} +(-2.83256 - 3.77486i) q^{68} +(-6.98604 + 1.05837i) q^{69} +(-1.38519 - 6.08865i) q^{70} +(13.6039 + 2.70599i) q^{71} +(-7.44319 - 4.07419i) q^{72} +(-0.617328 - 3.10352i) q^{73} +(-1.64360 + 4.29671i) q^{74} +(10.4449 + 2.58200i) q^{75} +(-6.61290 - 0.287720i) q^{76} +(1.19410 - 0.638262i) q^{77} +(1.84181 - 1.18158i) q^{78} +(3.69495 - 8.92041i) q^{79} +(13.3928 - 0.150165i) q^{80} +(-8.84811 - 1.64648i) q^{81} +(-5.11978 - 15.3532i) q^{82} +(5.26287 - 17.3494i) q^{83} +(-3.25796 - 3.20177i) q^{84} +(7.86324 + 0.774461i) q^{85} +(-11.8174 + 12.4821i) q^{86} +(-11.2118 + 0.585568i) q^{87} +(0.798106 + 2.79242i) q^{88} +(6.31504 + 9.45112i) q^{89} +(13.4485 - 4.57727i) q^{90} +(1.12728 - 0.341955i) q^{91} +(2.70552 - 7.69719i) q^{92} +(-0.0852048 + 1.85119i) q^{93} +(-0.705941 - 0.193232i) q^{94} +(7.83604 - 7.83604i) q^{95} +(8.18696 - 5.38273i) q^{96} +(-2.77237 - 2.77237i) q^{97} +(3.68552 + 6.46354i) q^{98} +(1.72719 + 2.55063i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11732 0.866940i −0.790068 0.613019i
\(3\) 1.27976 1.16714i 0.738871 0.673847i
\(4\) 0.496829 + 1.93731i 0.248414 + 0.968654i
\(5\) −2.95304 1.57843i −1.32064 0.705896i −0.347841 0.937554i \(-0.613085\pi\)
−0.972797 + 0.231658i \(0.925585\pi\)
\(6\) −2.44175 + 0.194595i −0.996839 + 0.0794431i
\(7\) −1.29330 0.257253i −0.488821 0.0972326i −0.0554750 0.998460i \(-0.517667\pi\)
−0.433346 + 0.901227i \(0.642667\pi\)
\(8\) 1.12441 2.59532i 0.397540 0.917585i
\(9\) 0.275578 2.98732i 0.0918593 0.995772i
\(10\) 1.93109 + 4.32373i 0.610666 + 1.36728i
\(11\) −0.793729 + 0.651397i −0.239318 + 0.196403i −0.746406 0.665491i \(-0.768222\pi\)
0.507087 + 0.861895i \(0.330722\pi\)
\(12\) 2.89693 + 1.89942i 0.836271 + 0.548316i
\(13\) −0.787862 + 0.421121i −0.218513 + 0.116798i −0.577022 0.816729i \(-0.695785\pi\)
0.358509 + 0.933526i \(0.383285\pi\)
\(14\) 1.22201 + 1.40865i 0.326597 + 0.376477i
\(15\) −5.62143 + 1.42659i −1.45145 + 0.368343i
\(16\) −3.50632 + 1.92502i −0.876581 + 0.481255i
\(17\) −2.18009 + 0.903022i −0.528749 + 0.219015i −0.631055 0.775738i \(-0.717378\pi\)
0.102306 + 0.994753i \(0.467378\pi\)
\(18\) −2.89774 + 3.09889i −0.683003 + 0.730416i
\(19\) −0.960720 + 3.16707i −0.220404 + 0.726576i 0.775098 + 0.631841i \(0.217700\pi\)
−0.995503 + 0.0947349i \(0.969800\pi\)
\(20\) 1.59075 6.50515i 0.355703 1.45460i
\(21\) −1.95537 + 1.18024i −0.426696 + 0.257549i
\(22\) 1.45158 0.0397057i 0.309477 0.00846527i
\(23\) −3.39191 2.26640i −0.707263 0.472578i 0.149187 0.988809i \(-0.452335\pi\)
−0.856449 + 0.516231i \(0.827335\pi\)
\(24\) −1.59012 4.63374i −0.324582 0.945858i
\(25\) 3.45113 + 5.16498i 0.690226 + 1.03300i
\(26\) 1.24538 + 0.212500i 0.244240 + 0.0416748i
\(27\) −3.13394 4.14469i −0.603126 0.797646i
\(28\) −0.144169 2.63333i −0.0272455 0.497653i
\(29\) −5.01064 4.11212i −0.930452 0.763602i 0.0414128 0.999142i \(-0.486814\pi\)
−0.971865 + 0.235540i \(0.924314\pi\)
\(30\) 7.51772 + 3.27948i 1.37254 + 0.598749i
\(31\) −0.756547 + 0.756547i −0.135880 + 0.135880i −0.771775 0.635895i \(-0.780631\pi\)
0.635895 + 0.771775i \(0.280631\pi\)
\(32\) 5.58658 + 0.888901i 0.987577 + 0.157137i
\(33\) −0.255514 + 1.76002i −0.0444793 + 0.306381i
\(34\) 3.21873 + 0.881038i 0.552008 + 0.151097i
\(35\) 3.41310 + 2.80106i 0.576920 + 0.473466i
\(36\) 5.92427 0.950305i 0.987378 0.158384i
\(37\) −0.944277 3.11287i −0.155238 0.511752i 0.844478 0.535591i \(-0.179911\pi\)
−0.999716 + 0.0238390i \(0.992411\pi\)
\(38\) 3.81910 2.70576i 0.619539 0.438932i
\(39\) −0.516769 + 1.45848i −0.0827492 + 0.233543i
\(40\) −7.41696 + 5.88928i −1.17273 + 0.931176i
\(41\) 9.51538 + 6.35797i 1.48605 + 0.992948i 0.992369 + 0.123307i \(0.0393499\pi\)
0.493684 + 0.869642i \(0.335650\pi\)
\(42\) 3.20797 + 0.376478i 0.495001 + 0.0580918i
\(43\) 1.19133 12.0958i 0.181676 1.84459i −0.283016 0.959115i \(-0.591335\pi\)
0.464692 0.885472i \(-0.346165\pi\)
\(44\) −1.65630 1.21407i −0.249697 0.183027i
\(45\) −5.52906 + 8.38667i −0.824224 + 1.25021i
\(46\) 1.82503 + 5.47290i 0.269086 + 0.806934i
\(47\) 0.478143 0.198053i 0.0697443 0.0288890i −0.347539 0.937666i \(-0.612982\pi\)
0.417283 + 0.908777i \(0.362982\pi\)
\(48\) −2.24049 + 6.55593i −0.323387 + 0.946267i
\(49\) −4.86071 2.01337i −0.694387 0.287625i
\(50\) 0.621698 8.76288i 0.0879214 1.23926i
\(51\) −1.73604 + 3.70012i −0.243094 + 0.518120i
\(52\) −1.20727 1.31711i −0.167419 0.182650i
\(53\) −9.92515 + 8.14536i −1.36332 + 1.11885i −0.382501 + 0.923955i \(0.624937\pi\)
−0.980824 + 0.194897i \(0.937563\pi\)
\(54\) −0.0915749 + 7.34790i −0.0124618 + 0.999922i
\(55\) 3.37210 0.670751i 0.454693 0.0904441i
\(56\) −2.12186 + 3.06727i −0.283545 + 0.409881i
\(57\) 2.46691 + 5.17439i 0.326751 + 0.685364i
\(58\) 2.03354 + 8.93850i 0.267017 + 1.17368i
\(59\) −5.59462 2.99039i −0.728358 0.389315i 0.0651499 0.997875i \(-0.479247\pi\)
−0.793508 + 0.608560i \(0.791747\pi\)
\(60\) −5.55662 10.1817i −0.717357 1.31445i
\(61\) −0.540516 5.48795i −0.0692060 0.702660i −0.965710 0.259624i \(-0.916401\pi\)
0.896504 0.443036i \(-0.146099\pi\)
\(62\) 1.50119 0.189427i 0.190651 0.0240573i
\(63\) −1.12490 + 3.79260i −0.141724 + 0.477823i
\(64\) −5.47140 5.83642i −0.683925 0.729553i
\(65\) 2.99129 0.371024
\(66\) 1.81133 1.74500i 0.222959 0.214795i
\(67\) 11.0121 1.08459i 1.34534 0.132504i 0.600433 0.799675i \(-0.294995\pi\)
0.744904 + 0.667171i \(0.232495\pi\)
\(68\) −2.83256 3.77486i −0.343499 0.457768i
\(69\) −6.98604 + 1.05837i −0.841021 + 0.127413i
\(70\) −1.38519 6.08865i −0.165562 0.727733i
\(71\) 13.6039 + 2.70599i 1.61449 + 0.321142i 0.918048 0.396469i \(-0.129765\pi\)
0.696443 + 0.717612i \(0.254765\pi\)
\(72\) −7.44319 4.07419i −0.877188 0.480148i
\(73\) −0.617328 3.10352i −0.0722528 0.363239i 0.927696 0.373336i \(-0.121786\pi\)
−0.999949 + 0.0100965i \(0.996786\pi\)
\(74\) −1.64360 + 4.29671i −0.191065 + 0.499483i
\(75\) 10.4449 + 2.58200i 1.20607 + 0.298143i
\(76\) −6.61290 0.287720i −0.758552 0.0330037i
\(77\) 1.19410 0.638262i 0.136081 0.0727367i
\(78\) 1.84181 1.18158i 0.208544 0.133788i
\(79\) 3.69495 8.92041i 0.415715 1.00362i −0.567860 0.823125i \(-0.692229\pi\)
0.983575 0.180499i \(-0.0577714\pi\)
\(80\) 13.3928 0.150165i 1.49736 0.0167890i
\(81\) −8.84811 1.64648i −0.983124 0.182942i
\(82\) −5.11978 15.3532i −0.565385 1.69548i
\(83\) 5.26287 17.3494i 0.577675 1.90434i 0.193406 0.981119i \(-0.438046\pi\)
0.384269 0.923221i \(-0.374454\pi\)
\(84\) −3.25796 3.20177i −0.355473 0.349342i
\(85\) 7.86324 + 0.774461i 0.852888 + 0.0840021i
\(86\) −11.8174 + 12.4821i −1.27430 + 1.34598i
\(87\) −11.2118 + 0.585568i −1.20203 + 0.0627795i
\(88\) 0.798106 + 2.79242i 0.0850784 + 0.297673i
\(89\) 6.31504 + 9.45112i 0.669392 + 1.00182i 0.998347 + 0.0574709i \(0.0183036\pi\)
−0.328955 + 0.944346i \(0.606696\pi\)
\(90\) 13.4485 4.57727i 1.41760 0.482486i
\(91\) 1.12728 0.341955i 0.118171 0.0358467i
\(92\) 2.70552 7.69719i 0.282070 0.802488i
\(93\) −0.0852048 + 1.85119i −0.00883533 + 0.191960i
\(94\) −0.705941 0.193232i −0.0728123 0.0199303i
\(95\) 7.83604 7.83604i 0.803961 0.803961i
\(96\) 8.18696 5.38273i 0.835578 0.549372i
\(97\) −2.77237 2.77237i −0.281492 0.281492i 0.552212 0.833704i \(-0.313784\pi\)
−0.833704 + 0.552212i \(0.813784\pi\)
\(98\) 3.68552 + 6.46354i 0.372294 + 0.652916i
\(99\) 1.72719 + 2.55063i 0.173589 + 0.256348i
\(100\) −8.29153 + 9.25201i −0.829153 + 0.925201i
\(101\) −2.59811 8.56484i −0.258522 0.852233i −0.986092 0.166200i \(-0.946850\pi\)
0.727570 0.686033i \(-0.240650\pi\)
\(102\) 5.14750 2.62919i 0.509679 0.260328i
\(103\) 7.95192 5.31330i 0.783526 0.523535i −0.0982737 0.995159i \(-0.531332\pi\)
0.881800 + 0.471624i \(0.156332\pi\)
\(104\) 0.207063 + 2.51827i 0.0203042 + 0.246936i
\(105\) 7.63719 0.398872i 0.745313 0.0389260i
\(106\) 18.1512 0.496498i 1.76300 0.0482241i
\(107\) −0.0129423 + 0.131405i −0.00125118 + 0.0127034i −0.995790 0.0916634i \(-0.970782\pi\)
0.994539 + 0.104367i \(0.0332816\pi\)
\(108\) 6.47251 8.13060i 0.622817 0.782367i
\(109\) −1.16562 0.353587i −0.111646 0.0338674i 0.233967 0.972244i \(-0.424829\pi\)
−0.345613 + 0.938377i \(0.612329\pi\)
\(110\) −4.34923 2.17396i −0.414683 0.207279i
\(111\) −4.84159 2.88162i −0.459544 0.273512i
\(112\) 5.02994 1.58761i 0.475285 0.150015i
\(113\) −2.45475 1.01679i −0.230923 0.0956514i 0.264222 0.964462i \(-0.414885\pi\)
−0.495145 + 0.868811i \(0.664885\pi\)
\(114\) 1.72954 7.92014i 0.161986 0.741789i
\(115\) 6.43908 + 12.0467i 0.600447 + 1.12336i
\(116\) 5.47702 11.7502i 0.508529 1.09098i
\(117\) 1.04090 + 2.46964i 0.0962316 + 0.228319i
\(118\) 3.65852 + 8.19144i 0.336794 + 0.754083i
\(119\) 3.05181 0.607043i 0.279759 0.0556476i
\(120\) −2.61835 + 16.1935i −0.239021 + 1.47826i
\(121\) −1.94031 + 9.75457i −0.176391 + 0.886779i
\(122\) −4.15380 + 6.60042i −0.376067 + 0.597574i
\(123\) 19.5980 2.96907i 1.76710 0.267712i
\(124\) −1.84154 1.08979i −0.165375 0.0978660i
\(125\) −0.397737 4.03829i −0.0355747 0.361196i
\(126\) 4.54484 3.26234i 0.404887 0.290633i
\(127\) 13.0539i 1.15835i −0.815204 0.579174i \(-0.803375\pi\)
0.815204 0.579174i \(-0.196625\pi\)
\(128\) 1.05350 + 11.2646i 0.0931168 + 0.995655i
\(129\) −12.5928 16.8701i −1.10874 1.48533i
\(130\) −3.34225 2.59327i −0.293134 0.227445i
\(131\) −8.25120 + 0.812673i −0.720911 + 0.0710035i −0.451817 0.892110i \(-0.649224\pi\)
−0.269094 + 0.963114i \(0.586724\pi\)
\(132\) −3.53665 + 0.379421i −0.307826 + 0.0330243i
\(133\) 2.05724 3.84882i 0.178385 0.333735i
\(134\) −13.2443 8.33496i −1.14414 0.720030i
\(135\) 2.71252 + 17.1861i 0.233457 + 1.47915i
\(136\) −0.107683 + 6.67340i −0.00923374 + 0.572239i
\(137\) −3.16576 15.9153i −0.270469 1.35974i −0.842141 0.539257i \(-0.818705\pi\)
0.571672 0.820482i \(-0.306295\pi\)
\(138\) 8.72323 + 4.87394i 0.742570 + 0.414897i
\(139\) −6.85523 8.35312i −0.581453 0.708503i 0.396333 0.918107i \(-0.370283\pi\)
−0.977786 + 0.209604i \(0.932783\pi\)
\(140\) −3.73079 + 8.00388i −0.315309 + 0.676451i
\(141\) 0.380753 0.811520i 0.0320652 0.0683423i
\(142\) −12.8541 14.8173i −1.07869 1.24344i
\(143\) 0.351032 0.847466i 0.0293548 0.0708687i
\(144\) 4.78438 + 11.0050i 0.398698 + 0.917082i
\(145\) 8.30589 + 20.0522i 0.689767 + 1.66524i
\(146\) −2.00081 + 4.00283i −0.165588 + 0.331276i
\(147\) −8.57043 + 3.09648i −0.706878 + 0.255394i
\(148\) 5.56143 3.37592i 0.457147 0.277499i
\(149\) −17.1052 1.68471i −1.40131 0.138017i −0.631049 0.775743i \(-0.717375\pi\)
−0.770263 + 0.637726i \(0.779875\pi\)
\(150\) −9.43186 11.9400i −0.770108 0.974897i
\(151\) −12.0616 + 18.0515i −0.981562 + 1.46901i −0.101111 + 0.994875i \(0.532240\pi\)
−0.880451 + 0.474137i \(0.842760\pi\)
\(152\) 7.13932 + 6.05447i 0.579076 + 0.491082i
\(153\) 2.09683 + 6.76147i 0.169519 + 0.546632i
\(154\) −1.88754 0.322071i −0.152102 0.0259532i
\(155\) 3.42827 1.03995i 0.275365 0.0835310i
\(156\) −3.08226 0.276527i −0.246779 0.0221399i
\(157\) 7.80323 9.50826i 0.622766 0.758842i −0.362104 0.932138i \(-0.617942\pi\)
0.984870 + 0.173296i \(0.0554416\pi\)
\(158\) −11.8619 + 6.76369i −0.943684 + 0.538090i
\(159\) −3.19507 + 22.0081i −0.253385 + 1.74536i
\(160\) −15.0943 11.4430i −1.19331 0.904647i
\(161\) 3.80372 + 3.80372i 0.299775 + 0.299775i
\(162\) 8.45882 + 9.51044i 0.664587 + 0.747210i
\(163\) −6.91654 + 8.42783i −0.541745 + 0.660118i −0.969876 0.243598i \(-0.921672\pi\)
0.428131 + 0.903717i \(0.359172\pi\)
\(164\) −7.58984 + 21.5930i −0.592667 + 1.68613i
\(165\) 3.53262 4.79410i 0.275014 0.373220i
\(166\) −20.9212 + 14.8223i −1.62380 + 1.15043i
\(167\) 4.64804 3.10572i 0.359676 0.240328i −0.362581 0.931952i \(-0.618104\pi\)
0.722258 + 0.691624i \(0.243104\pi\)
\(168\) 0.864459 + 6.40187i 0.0666944 + 0.493915i
\(169\) −6.77903 + 10.1455i −0.521464 + 0.780426i
\(170\) −8.11438 7.68228i −0.622344 0.589204i
\(171\) 9.19628 + 3.74275i 0.703257 + 0.286215i
\(172\) 24.0251 3.70155i 1.83190 0.282241i
\(173\) 23.1231 + 7.01432i 1.75802 + 0.533289i 0.993752 0.111614i \(-0.0356019\pi\)
0.764265 + 0.644902i \(0.223102\pi\)
\(174\) 13.0349 + 9.06572i 0.988174 + 0.687271i
\(175\) −3.13464 7.56768i −0.236956 0.572063i
\(176\) 1.52912 3.81195i 0.115262 0.287337i
\(177\) −10.6500 + 2.70271i −0.800501 + 0.203148i
\(178\) 1.13761 16.0347i 0.0852676 1.20185i
\(179\) −5.62394 10.5217i −0.420353 0.786426i 0.579234 0.815161i \(-0.303352\pi\)
−0.999587 + 0.0287358i \(0.990852\pi\)
\(180\) −18.9946 6.54476i −1.41577 0.487818i
\(181\) 7.13456 + 8.69349i 0.530308 + 0.646182i 0.967406 0.253232i \(-0.0814936\pi\)
−0.437098 + 0.899414i \(0.643994\pi\)
\(182\) −1.55599 0.595206i −0.115338 0.0441196i
\(183\) −7.09693 6.39241i −0.524620 0.472541i
\(184\) −9.69595 + 6.25474i −0.714795 + 0.461105i
\(185\) −2.12496 + 10.6829i −0.156230 + 0.785421i
\(186\) 1.70008 1.99452i 0.124656 0.146245i
\(187\) 1.14217 2.13686i 0.0835240 0.156262i
\(188\) 0.621245 + 0.827911i 0.0453090 + 0.0603816i
\(189\) 2.98688 + 6.16654i 0.217264 + 0.448550i
\(190\) −15.5488 + 1.96202i −1.12803 + 0.142340i
\(191\) 2.24957i 0.162773i −0.996683 0.0813864i \(-0.974065\pi\)
0.996683 0.0813864i \(-0.0259348\pi\)
\(192\) −13.8140 1.08335i −0.996939 0.0781841i
\(193\) 14.3840i 1.03539i 0.855566 + 0.517693i \(0.173209\pi\)
−0.855566 + 0.517693i \(0.826791\pi\)
\(194\) 0.694158 + 5.50112i 0.0498376 + 0.394957i
\(195\) 3.82814 3.49125i 0.274139 0.250014i
\(196\) 1.48558 10.4170i 0.106113 0.744071i
\(197\) −6.79098 + 12.7050i −0.483837 + 0.905196i 0.515009 + 0.857184i \(0.327788\pi\)
−0.998847 + 0.0480114i \(0.984712\pi\)
\(198\) 0.281409 4.34726i 0.0199989 0.308946i
\(199\) 0.0297745 0.149686i 0.00211066 0.0106110i −0.979716 0.200393i \(-0.935778\pi\)
0.981826 + 0.189782i \(0.0607781\pi\)
\(200\) 17.2853 3.14923i 1.22225 0.222684i
\(201\) 12.8269 14.2406i 0.904742 1.00446i
\(202\) −4.52227 + 11.8221i −0.318186 + 0.831801i
\(203\) 5.42240 + 6.60721i 0.380578 + 0.463735i
\(204\) −8.03078 1.52492i −0.562267 0.106766i
\(205\) −18.0636 33.7947i −1.26162 2.36032i
\(206\) −13.4912 0.957157i −0.939976 0.0666883i
\(207\) −7.70520 + 9.50814i −0.535548 + 0.660862i
\(208\) 1.95183 2.99323i 0.135335 0.207543i
\(209\) −1.30047 3.13961i −0.0899552 0.217171i
\(210\) −8.87901 6.17531i −0.612710 0.426137i
\(211\) 1.82781 + 0.554461i 0.125832 + 0.0381707i 0.352573 0.935784i \(-0.385307\pi\)
−0.226741 + 0.973955i \(0.572807\pi\)
\(212\) −20.7112 15.1812i −1.42245 1.04265i
\(213\) 20.5681 12.4147i 1.40930 0.850638i
\(214\) 0.128381 0.135602i 0.00877596 0.00926957i
\(215\) −22.6104 + 33.8388i −1.54201 + 2.30779i
\(216\) −14.2806 + 3.47324i −0.971674 + 0.236324i
\(217\) 1.17307 0.783817i 0.0796329 0.0532090i
\(218\) 0.995836 + 1.40559i 0.0674465 + 0.0951988i
\(219\) −4.41227 3.25126i −0.298153 0.219700i
\(220\) 2.97481 + 6.19954i 0.200561 + 0.417973i
\(221\) 1.33733 1.62954i 0.0899583 0.109615i
\(222\) 2.91144 + 7.41708i 0.195403 + 0.497802i
\(223\) 7.68293 + 7.68293i 0.514487 + 0.514487i 0.915898 0.401411i \(-0.131480\pi\)
−0.401411 + 0.915898i \(0.631480\pi\)
\(224\) −6.99645 2.58678i −0.467470 0.172837i
\(225\) 16.3805 8.88626i 1.09203 0.592417i
\(226\) 1.86125 + 3.26420i 0.123809 + 0.217131i
\(227\) 0.702357 0.855824i 0.0466171 0.0568031i −0.749180 0.662366i \(-0.769552\pi\)
0.795797 + 0.605563i \(0.207052\pi\)
\(228\) −8.79875 + 7.34996i −0.582711 + 0.486763i
\(229\) 8.10054 2.45727i 0.535299 0.162381i −0.0110498 0.999939i \(-0.503517\pi\)
0.546349 + 0.837558i \(0.316017\pi\)
\(230\) 3.24920 19.0423i 0.214246 1.25561i
\(231\) 0.783228 2.21051i 0.0515326 0.145441i
\(232\) −16.3063 + 8.38050i −1.07056 + 0.550207i
\(233\) 0.728429 1.09017i 0.0477210 0.0714195i −0.806842 0.590767i \(-0.798825\pi\)
0.854563 + 0.519348i \(0.173825\pi\)
\(234\) 0.978006 3.66179i 0.0639343 0.239379i
\(235\) −1.72459 0.169857i −0.112500 0.0110802i
\(236\) 3.01373 12.3242i 0.196177 0.802238i
\(237\) −5.68269 15.7285i −0.369130 1.02168i
\(238\) −3.93614 1.96748i −0.255142 0.127533i
\(239\) 0.649387 + 1.56776i 0.0420053 + 0.101410i 0.943490 0.331402i \(-0.107522\pi\)
−0.901484 + 0.432812i \(0.857522\pi\)
\(240\) 16.9643 15.8234i 1.09504 1.02140i
\(241\) 1.56555 3.77957i 0.100846 0.243463i −0.865402 0.501079i \(-0.832937\pi\)
0.966248 + 0.257615i \(0.0829367\pi\)
\(242\) 10.6246 9.21690i 0.682974 0.592484i
\(243\) −13.2451 + 8.21987i −0.849676 + 0.527305i
\(244\) 10.3633 3.77372i 0.663443 0.241588i
\(245\) 11.1759 + 13.6179i 0.714001 + 0.870013i
\(246\) −24.4714 13.6729i −1.56024 0.871753i
\(247\) −0.576804 2.89979i −0.0367012 0.184509i
\(248\) 1.11281 + 2.81415i 0.0706637 + 0.178699i
\(249\) −13.5139 28.3455i −0.856407 1.79633i
\(250\) −3.05655 + 4.85689i −0.193313 + 0.307177i
\(251\) 11.0479 20.6691i 0.697335 1.30462i −0.244861 0.969558i \(-0.578742\pi\)
0.942196 0.335063i \(-0.108758\pi\)
\(252\) −7.90632 0.295008i −0.498051 0.0185838i
\(253\) 4.16859 0.410570i 0.262077 0.0258123i
\(254\) −11.3170 + 14.5855i −0.710090 + 0.915174i
\(255\) 10.9670 8.18636i 0.686778 0.512650i
\(256\) 8.58860 13.4995i 0.536787 0.843718i
\(257\) 18.8341i 1.17484i 0.809282 + 0.587420i \(0.199856\pi\)
−0.809282 + 0.587420i \(0.800144\pi\)
\(258\) −0.555148 + 29.7666i −0.0345620 + 1.85319i
\(259\) 0.420439 + 4.26879i 0.0261248 + 0.265250i
\(260\) 1.48616 + 5.79506i 0.0921677 + 0.359394i
\(261\) −13.6650 + 13.8351i −0.845844 + 0.856374i
\(262\) 9.92381 + 6.24528i 0.613095 + 0.385835i
\(263\) −2.00222 + 10.0659i −0.123462 + 0.620687i 0.868659 + 0.495410i \(0.164982\pi\)
−0.992122 + 0.125277i \(0.960018\pi\)
\(264\) 4.28053 + 2.64213i 0.263448 + 0.162612i
\(265\) 42.1662 8.38739i 2.59025 0.515233i
\(266\) −5.63530 + 2.51688i −0.345523 + 0.154320i
\(267\) 19.1125 + 4.72466i 1.16967 + 0.289144i
\(268\) 7.57230 + 20.7949i 0.462552 + 1.27025i
\(269\) 11.7409 + 21.9657i 0.715855 + 1.33927i 0.931838 + 0.362873i \(0.118204\pi\)
−0.215984 + 0.976397i \(0.569296\pi\)
\(270\) 11.8686 21.5541i 0.722298 1.31174i
\(271\) −1.11908 0.463538i −0.0679792 0.0281579i 0.348435 0.937333i \(-0.386713\pi\)
−0.416414 + 0.909175i \(0.636713\pi\)
\(272\) 5.90576 7.36300i 0.358089 0.446447i
\(273\) 1.04353 1.75331i 0.0631576 0.106115i
\(274\) −10.2605 + 20.5271i −0.619858 + 1.24009i
\(275\) −6.10371 1.85154i −0.368068 0.111652i
\(276\) −5.52126 13.0083i −0.332341 0.783007i
\(277\) −1.69570 + 17.2167i −0.101885 + 1.03445i 0.799275 + 0.600966i \(0.205217\pi\)
−0.901159 + 0.433488i \(0.857283\pi\)
\(278\) 0.417858 + 15.2762i 0.0250615 + 0.916207i
\(279\) 2.05156 + 2.46853i 0.122823 + 0.147787i
\(280\) 11.1074 5.70856i 0.663794 0.341152i
\(281\) −0.0681048 + 0.0455062i −0.00406279 + 0.00271467i −0.557600 0.830110i \(-0.688278\pi\)
0.553537 + 0.832824i \(0.313278\pi\)
\(282\) −1.12896 + 0.576640i −0.0672288 + 0.0343384i
\(283\) −6.06794 20.0033i −0.360701 1.18907i −0.930191 0.367075i \(-0.880359\pi\)
0.569490 0.821998i \(-0.307141\pi\)
\(284\) 1.51649 + 27.6994i 0.0899870 + 1.64366i
\(285\) 0.882521 19.1740i 0.0522761 1.13577i
\(286\) −1.12692 + 0.642571i −0.0666361 + 0.0379960i
\(287\) −10.6706 10.6706i −0.629867 0.629867i
\(288\) 4.19497 16.4439i 0.247191 0.968967i
\(289\) −8.08348 + 8.08348i −0.475499 + 0.475499i
\(290\) 8.10368 29.6055i 0.475864 1.73850i
\(291\) −6.78371 0.312234i −0.397668 0.0183035i
\(292\) 5.70577 2.73787i 0.333905 0.160222i
\(293\) 9.21393 2.79502i 0.538284 0.163287i −0.00942519 0.999956i \(-0.503000\pi\)
0.547709 + 0.836669i \(0.315500\pi\)
\(294\) 12.2604 + 3.97028i 0.715042 + 0.231551i
\(295\) 11.8010 + 17.6615i 0.687081 + 1.02829i
\(296\) −9.14065 1.04944i −0.531289 0.0609973i
\(297\) 5.18733 + 1.24833i 0.301000 + 0.0724352i
\(298\) 17.6515 + 16.7116i 1.02252 + 0.968074i
\(299\) 3.62679 + 0.357207i 0.209743 + 0.0206578i
\(300\) 0.187184 + 21.5177i 0.0108071 + 1.24233i
\(301\) −4.65242 + 15.3370i −0.268161 + 0.884009i
\(302\) 29.1264 9.71268i 1.67603 0.558902i
\(303\) −13.3213 7.92859i −0.765289 0.455486i
\(304\) −2.72808 12.9542i −0.156466 0.742973i
\(305\) −7.06619 + 17.0593i −0.404609 + 0.976812i
\(306\) 3.51895 9.37258i 0.201165 0.535795i
\(307\) −10.9326 + 5.84361i −0.623958 + 0.333513i −0.752895 0.658140i \(-0.771343\pi\)
0.128937 + 0.991653i \(0.458843\pi\)
\(308\) 1.82977 + 1.99624i 0.104261 + 0.113746i
\(309\) 3.97520 16.0807i 0.226141 0.914802i
\(310\) −4.73206 1.81014i −0.268763 0.102809i
\(311\) 0.773223 + 3.88726i 0.0438455 + 0.220426i 0.996496 0.0836416i \(-0.0266551\pi\)
−0.952650 + 0.304068i \(0.901655\pi\)
\(312\) 3.20416 + 2.98111i 0.181400 + 0.168772i
\(313\) −8.13450 1.61805i −0.459789 0.0914577i −0.0402393 0.999190i \(-0.512812\pi\)
−0.419550 + 0.907732i \(0.637812\pi\)
\(314\) −16.9618 + 3.85888i −0.957212 + 0.217769i
\(315\) 9.30824 9.42411i 0.524460 0.530988i
\(316\) 19.1173 + 2.72635i 1.07543 + 0.153369i
\(317\) −19.9152 + 1.96148i −1.11855 + 0.110168i −0.640351 0.768083i \(-0.721211\pi\)
−0.478201 + 0.878251i \(0.658711\pi\)
\(318\) 22.6497 21.8203i 1.27013 1.22362i
\(319\) 6.65571 0.372648
\(320\) 6.94485 + 25.8714i 0.388229 + 1.44625i
\(321\) 0.136805 + 0.183273i 0.00763571 + 0.0102293i
\(322\) −0.952391 7.54759i −0.0530747 0.420611i
\(323\) −0.765480 7.77204i −0.0425924 0.432448i
\(324\) −1.20626 17.9595i −0.0670146 0.997752i
\(325\) −4.89409 2.61595i −0.271475 0.145107i
\(326\) 15.0344 3.42039i 0.832681 0.189438i
\(327\) −1.90440 + 0.907931i −0.105313 + 0.0502087i
\(328\) 27.2002 17.5465i 1.50188 0.968843i
\(329\) −0.669332 + 0.133138i −0.0369015 + 0.00734016i
\(330\) −8.10328 + 2.29400i −0.446071 + 0.126281i
\(331\) −21.6510 + 17.7686i −1.19005 + 0.976648i −0.999987 0.00512395i \(-0.998369\pi\)
−0.190062 + 0.981772i \(0.560869\pi\)
\(332\) 36.2258 + 1.57614i 1.98815 + 0.0865021i
\(333\) −9.55934 + 1.96302i −0.523848 + 0.107573i
\(334\) −7.88585 0.559476i −0.431494 0.0306131i
\(335\) −34.2310 14.1789i −1.87024 0.774678i
\(336\) 4.58416 7.90241i 0.250087 0.431112i
\(337\) 3.32139 1.37577i 0.180928 0.0749428i −0.290381 0.956911i \(-0.593782\pi\)
0.471308 + 0.881968i \(0.343782\pi\)
\(338\) 16.3700 5.45884i 0.890408 0.296922i
\(339\) −4.32822 + 1.56378i −0.235077 + 0.0849328i
\(340\) 2.40631 + 15.6183i 0.130501 + 0.847021i
\(341\) 0.107681 1.09330i 0.00583126 0.0592058i
\(342\) −7.03049 12.1545i −0.380166 0.657240i
\(343\) 13.4433 + 8.98250i 0.725868 + 0.485009i
\(344\) −30.0529 16.6925i −1.62034 0.900000i
\(345\) 22.3006 + 7.90157i 1.20062 + 0.425406i
\(346\) −19.7550 27.8836i −1.06204 1.49903i
\(347\) −5.26411 17.3534i −0.282592 0.931581i −0.977223 0.212215i \(-0.931932\pi\)
0.694631 0.719366i \(-0.255568\pi\)
\(348\) −6.70478 21.4298i −0.359414 1.14876i
\(349\) −26.7213 21.9296i −1.43036 1.17386i −0.955940 0.293562i \(-0.905159\pi\)
−0.474416 0.880301i \(-0.657341\pi\)
\(350\) −3.05832 + 11.1731i −0.163474 + 0.597227i
\(351\) 4.21452 + 1.94568i 0.224955 + 0.103852i
\(352\) −5.01326 + 2.93353i −0.267207 + 0.156358i
\(353\) 18.6604 18.6604i 0.993192 0.993192i −0.00678489 0.999977i \(-0.502160\pi\)
0.999977 + 0.00678489i \(0.00215972\pi\)
\(354\) 14.2426 + 6.21309i 0.756984 + 0.330222i
\(355\) −35.9017 29.4638i −1.90547 1.56378i
\(356\) −15.1722 + 16.9298i −0.804127 + 0.897275i
\(357\) 3.19709 4.33876i 0.169208 0.229631i
\(358\) −2.83788 + 16.6317i −0.149987 + 0.879014i
\(359\) −4.12554 6.17431i −0.217738 0.325867i 0.706480 0.707733i \(-0.250282\pi\)
−0.924218 + 0.381865i \(0.875282\pi\)
\(360\) 15.5492 + 23.7798i 0.819513 + 1.25330i
\(361\) 6.69057 + 4.47050i 0.352135 + 0.235289i
\(362\) −0.434885 15.8987i −0.0228570 0.835617i
\(363\) 8.90180 + 14.7481i 0.467224 + 0.774076i
\(364\) 1.22254 + 2.01399i 0.0640783 + 0.105562i
\(365\) −3.07570 + 10.1392i −0.160989 + 0.530711i
\(366\) 2.38773 + 13.2950i 0.124809 + 0.694942i
\(367\) −1.88332 + 0.780096i −0.0983085 + 0.0407207i −0.431296 0.902211i \(-0.641943\pi\)
0.332987 + 0.942931i \(0.391943\pi\)
\(368\) 16.2560 + 1.41724i 0.847403 + 0.0738789i
\(369\) 21.6155 26.6733i 1.12526 1.38856i
\(370\) 11.6357 10.0940i 0.604911 0.524764i
\(371\) 14.9316 7.98112i 0.775211 0.414359i
\(372\) −3.62866 + 0.754658i −0.188137 + 0.0391272i
\(373\) −4.71603 + 3.87034i −0.244187 + 0.200399i −0.748524 0.663108i \(-0.769237\pi\)
0.504337 + 0.863507i \(0.331737\pi\)
\(374\) −3.12871 + 1.39737i −0.161782 + 0.0722561i
\(375\) −5.22225 4.70383i −0.269676 0.242905i
\(376\) 0.0236173 1.46363i 0.00121797 0.0754809i
\(377\) 5.67939 + 1.12970i 0.292503 + 0.0581825i
\(378\) 2.00871 9.47948i 0.103317 0.487572i
\(379\) 25.4056 + 13.5796i 1.30500 + 0.697537i 0.969636 0.244551i \(-0.0786407\pi\)
0.335364 + 0.942089i \(0.391141\pi\)
\(380\) 19.0740 + 11.2877i 0.978475 + 0.579044i
\(381\) −15.2357 16.7059i −0.780550 0.855870i
\(382\) −1.95024 + 2.51350i −0.0997829 + 0.128602i
\(383\) 7.34783 0.375457 0.187728 0.982221i \(-0.439888\pi\)
0.187728 + 0.982221i \(0.439888\pi\)
\(384\) 14.4955 + 13.1864i 0.739721 + 0.672914i
\(385\) −4.53368 −0.231058
\(386\) 12.4701 16.0716i 0.634712 0.818025i
\(387\) −35.8056 6.89221i −1.82010 0.350350i
\(388\) 3.99354 6.74833i 0.202741 0.342594i
\(389\) −16.7206 8.93736i −0.847769 0.453142i −0.0105077 0.999945i \(-0.503345\pi\)
−0.837261 + 0.546803i \(0.815845\pi\)
\(390\) −7.30398 + 0.582091i −0.369852 + 0.0294753i
\(391\) 9.44128 + 1.87799i 0.477466 + 0.0949739i
\(392\) −10.6908 + 10.3513i −0.539967 + 0.522817i
\(393\) −9.61107 + 10.6703i −0.484814 + 0.538246i
\(394\) 18.6022 8.30827i 0.937167 0.418564i
\(395\) −24.9916 + 20.5101i −1.25746 + 1.03197i
\(396\) −4.08324 + 4.61333i −0.205190 + 0.231829i
\(397\) 28.5817 15.2772i 1.43447 0.766741i 0.442934 0.896554i \(-0.353938\pi\)
0.991538 + 0.129813i \(0.0414378\pi\)
\(398\) −0.163037 + 0.141436i −0.00817230 + 0.00708952i
\(399\) −1.85933 7.32665i −0.0930831 0.366792i
\(400\) −22.0435 11.4666i −1.10217 0.573330i
\(401\) −3.22275 + 1.33491i −0.160936 + 0.0666620i −0.461697 0.887038i \(-0.652759\pi\)
0.300761 + 0.953700i \(0.402759\pi\)
\(402\) −26.6776 + 4.79120i −1.33056 + 0.238963i
\(403\) 0.277456 0.914651i 0.0138211 0.0455620i
\(404\) 15.3019 9.28860i 0.761298 0.462125i
\(405\) 23.5299 + 18.8282i 1.16921 + 0.935583i
\(406\) −0.330520 12.0833i −0.0164034 0.599684i
\(407\) 2.77721 + 1.85567i 0.137661 + 0.0919823i
\(408\) 7.65097 + 8.66604i 0.378780 + 0.429033i
\(409\) −18.6584 27.9243i −0.922600 1.38077i −0.924669 0.380771i \(-0.875659\pi\)
0.00206875 0.999998i \(-0.499341\pi\)
\(410\) −9.11503 + 53.4197i −0.450159 + 2.63821i
\(411\) −22.6268 16.6730i −1.11610 0.822417i
\(412\) 14.2442 + 12.7655i 0.701764 + 0.628912i
\(413\) 6.46624 + 5.30670i 0.318183 + 0.261126i
\(414\) 16.8522 3.94373i 0.828241 0.193824i
\(415\) −42.9262 + 42.9262i −2.10717 + 2.10717i
\(416\) −4.77578 + 1.65229i −0.234152 + 0.0810103i
\(417\) −18.5223 2.68900i −0.907041 0.131681i
\(418\) −1.26881 + 4.63539i −0.0620594 + 0.226724i
\(419\) 7.36194 + 6.04179i 0.359654 + 0.295161i 0.796816 0.604222i \(-0.206516\pi\)
−0.437161 + 0.899383i \(0.644016\pi\)
\(420\) 4.56711 + 14.5974i 0.222852 + 0.712281i
\(421\) −4.05312 13.3614i −0.197537 0.651193i −0.998614 0.0526312i \(-0.983239\pi\)
0.801077 0.598561i \(-0.204261\pi\)
\(422\) −1.56158 2.20412i −0.0760163 0.107295i
\(423\) −0.459882 1.48294i −0.0223602 0.0721032i
\(424\) 9.97989 + 34.9177i 0.484666 + 1.69575i
\(425\) −12.1879 8.14366i −0.591198 0.395026i
\(426\) −33.7440 3.96009i −1.63490 0.191867i
\(427\) −0.712745 + 7.23662i −0.0344921 + 0.350205i
\(428\) −0.261002 + 0.0402127i −0.0126160 + 0.00194375i
\(429\) −0.539873 1.49426i −0.0260653 0.0721434i
\(430\) 54.5994 18.2071i 2.63302 0.878024i
\(431\) −1.51155 + 0.626104i −0.0728087 + 0.0301584i −0.418791 0.908083i \(-0.637546\pi\)
0.345982 + 0.938241i \(0.387546\pi\)
\(432\) 18.9672 + 8.49973i 0.912560 + 0.408943i
\(433\) −20.9981 8.69770i −1.00911 0.417985i −0.183977 0.982931i \(-0.558897\pi\)
−0.825128 + 0.564946i \(0.808897\pi\)
\(434\) −1.99022 0.141200i −0.0955335 0.00677780i
\(435\) 34.0332 + 15.9679i 1.63177 + 0.765602i
\(436\) 0.105893 2.43383i 0.00507137 0.116559i
\(437\) 10.4365 8.56505i 0.499247 0.409722i
\(438\) 2.11129 + 7.45788i 0.100881 + 0.356351i
\(439\) 33.6081 6.68507i 1.60403 0.319061i 0.689719 0.724077i \(-0.257734\pi\)
0.914309 + 0.405016i \(0.132734\pi\)
\(440\) 2.05081 9.50588i 0.0977684 0.453175i
\(441\) −7.35409 + 13.9656i −0.350195 + 0.665030i
\(442\) −2.90694 + 0.661339i −0.138269 + 0.0314567i
\(443\) 19.1020 + 10.2102i 0.907564 + 0.485103i 0.857990 0.513667i \(-0.171713\pi\)
0.0495749 + 0.998770i \(0.484213\pi\)
\(444\) 3.17715 10.8113i 0.150781 0.513083i
\(445\) −3.73059 37.8773i −0.176847 1.79556i
\(446\) −1.92368 15.2450i −0.0910891 0.721870i
\(447\) −23.8569 + 17.8081i −1.12839 + 0.842294i
\(448\) 5.57472 + 8.95578i 0.263381 + 0.423121i
\(449\) −13.1468 −0.620437 −0.310219 0.950665i \(-0.600402\pi\)
−0.310219 + 0.950665i \(0.600402\pi\)
\(450\) −26.0062 4.27207i −1.22594 0.201387i
\(451\) −11.6942 + 1.15178i −0.550658 + 0.0542351i
\(452\) 0.750245 5.26077i 0.0352886 0.247446i
\(453\) 5.63259 + 37.1792i 0.264642 + 1.74683i
\(454\) −1.52671 + 0.347332i −0.0716520 + 0.0163011i
\(455\) −3.86864 0.769520i −0.181365 0.0360757i
\(456\) 16.2030 0.584299i 0.758776 0.0273623i
\(457\) −5.29413 26.6154i −0.247649 1.24502i −0.881732 0.471750i \(-0.843622\pi\)
0.634083 0.773265i \(-0.281378\pi\)
\(458\) −11.1812 4.27712i −0.522465 0.199857i
\(459\) 10.5750 + 6.20578i 0.493599 + 0.289661i
\(460\) −20.1390 + 18.4596i −0.938985 + 0.860684i
\(461\) 21.1995 11.3314i 0.987359 0.527754i 0.103060 0.994675i \(-0.467137\pi\)
0.884299 + 0.466921i \(0.154637\pi\)
\(462\) −2.79150 + 1.79084i −0.129872 + 0.0833175i
\(463\) 7.82643 18.8947i 0.363725 0.878110i −0.631024 0.775763i \(-0.717365\pi\)
0.994749 0.102346i \(-0.0326350\pi\)
\(464\) 25.4848 + 4.77286i 1.18310 + 0.221574i
\(465\) 3.17359 5.33215i 0.147172 0.247273i
\(466\) −1.75901 + 0.586571i −0.0814844 + 0.0271724i
\(467\) 0.854594 2.81722i 0.0395459 0.130365i −0.934945 0.354793i \(-0.884551\pi\)
0.974491 + 0.224428i \(0.0720513\pi\)
\(468\) −4.26731 + 3.24354i −0.197256 + 0.149933i
\(469\) −14.5209 1.43018i −0.670513 0.0660398i
\(470\) 1.77967 + 1.68490i 0.0820899 + 0.0777186i
\(471\) −1.11118 21.2758i −0.0512006 0.980335i
\(472\) −14.0517 + 11.1574i −0.646781 + 0.513562i
\(473\) 6.93355 + 10.3768i 0.318805 + 0.477125i
\(474\) −7.28628 + 22.5004i −0.334670 + 1.03348i
\(475\) −19.6734 + 5.96787i −0.902678 + 0.273824i
\(476\) 2.69226 + 5.61071i 0.123399 + 0.257166i
\(477\) 21.5976 + 31.8943i 0.988887 + 1.46034i
\(478\) 0.633577 2.31467i 0.0289791 0.105871i
\(479\) 17.2799 17.2799i 0.789537 0.789537i −0.191881 0.981418i \(-0.561459\pi\)
0.981418 + 0.191881i \(0.0614587\pi\)
\(480\) −32.6726 + 2.97284i −1.49130 + 0.135691i
\(481\) 2.05485 + 2.05485i 0.0936932 + 0.0936932i
\(482\) −5.02589 + 2.86577i −0.228923 + 0.130532i
\(483\) 9.30732 + 0.428388i 0.423498 + 0.0194923i
\(484\) −19.8616 + 1.08738i −0.902800 + 0.0494265i
\(485\) 3.81092 + 12.5629i 0.173045 + 0.570452i
\(486\) 21.9253 + 2.29848i 0.994550 + 0.104261i
\(487\) 6.64926 4.44289i 0.301307 0.201327i −0.395721 0.918371i \(-0.629505\pi\)
0.697028 + 0.717044i \(0.254505\pi\)
\(488\) −14.8508 4.76791i −0.672263 0.215833i
\(489\) 0.984918 + 18.8582i 0.0445395 + 0.852796i
\(490\) −0.681222 24.9044i −0.0307745 1.12507i
\(491\) −2.36017 + 23.9632i −0.106513 + 1.08144i 0.782215 + 0.623009i \(0.214090\pi\)
−0.888728 + 0.458435i \(0.848410\pi\)
\(492\) 15.4889 + 36.4923i 0.698292 + 1.64520i
\(493\) 14.6370 + 4.44008i 0.659216 + 0.199971i
\(494\) −1.86947 + 3.74006i −0.0841114 + 0.168273i
\(495\) −1.07447 10.2584i −0.0482939 0.461079i
\(496\) 1.19633 4.10906i 0.0537168 0.184502i
\(497\) −16.8979 6.99932i −0.757972 0.313962i
\(498\) −9.47450 + 43.3869i −0.424563 + 1.94421i
\(499\) 16.7930 + 31.4174i 0.751756 + 1.40644i 0.908109 + 0.418735i \(0.137526\pi\)
−0.156353 + 0.987701i \(0.549974\pi\)
\(500\) 7.62580 2.77688i 0.341036 0.124186i
\(501\) 2.32358 9.39949i 0.103810 0.419938i
\(502\) −30.2629 + 13.5162i −1.35070 + 0.603260i
\(503\) −6.02651 + 1.19875i −0.268709 + 0.0534495i −0.327606 0.944815i \(-0.606242\pi\)
0.0588968 + 0.998264i \(0.481242\pi\)
\(504\) 8.57817 + 7.18393i 0.382102 + 0.319998i
\(505\) −5.84667 + 29.3932i −0.260174 + 1.30798i
\(506\) −5.01361 3.15518i −0.222882 0.140265i
\(507\) 3.16570 + 20.8959i 0.140594 + 0.928021i
\(508\) 25.2895 6.48556i 1.12204 0.287750i
\(509\) −1.69920 17.2522i −0.0753155 0.764691i −0.956464 0.291851i \(-0.905729\pi\)
0.881148 0.472840i \(-0.156771\pi\)
\(510\) −19.3508 0.360892i −0.856866 0.0159805i
\(511\) 4.17259i 0.184585i
\(512\) −21.2995 + 7.63750i −0.941314 + 0.337533i
\(513\) 16.1374 5.94351i 0.712482 0.262412i
\(514\) 16.3281 21.0438i 0.720200 0.928204i
\(515\) −31.8690 + 3.13882i −1.40432 + 0.138313i
\(516\) 26.4262 32.7777i 1.16335 1.44296i
\(517\) −0.250505 + 0.468661i −0.0110172 + 0.0206117i
\(518\) 3.23102 5.13412i 0.141963 0.225580i
\(519\) 37.7787 18.0112i 1.65830 0.790604i
\(520\) 3.36345 7.76337i 0.147497 0.340446i
\(521\) −0.338378 1.70114i −0.0148246 0.0745283i 0.972665 0.232214i \(-0.0745968\pi\)
−0.987489 + 0.157685i \(0.949597\pi\)
\(522\) 27.2625 3.61158i 1.19325 0.158074i
\(523\) 1.57897 + 1.92398i 0.0690434 + 0.0841296i 0.806387 0.591389i \(-0.201420\pi\)
−0.737343 + 0.675518i \(0.763920\pi\)
\(524\) −5.67383 15.5814i −0.247862 0.680675i
\(525\) −12.8441 6.02627i −0.560563 0.263008i
\(526\) 10.9636 9.51102i 0.478037 0.414700i
\(527\) 0.966160 2.33252i 0.0420866 0.101606i
\(528\) −2.49217 6.66308i −0.108458 0.289973i
\(529\) −2.43323 5.87434i −0.105793 0.255406i
\(530\) −54.3847 27.1842i −2.36232 1.18081i
\(531\) −10.4750 + 15.8888i −0.454576 + 0.689516i
\(532\) 8.47845 + 2.07330i 0.367587 + 0.0898889i
\(533\) −10.1743 1.00208i −0.440697 0.0434048i
\(534\) −17.2589 21.8484i −0.746864 0.945472i
\(535\) 0.245633 0.367616i 0.0106196 0.0158934i
\(536\) 9.56722 29.7994i 0.413241 1.28714i
\(537\) −19.4775 6.90129i −0.840518 0.297813i
\(538\) 5.92454 34.7214i 0.255425 1.49695i
\(539\) 5.16959 1.56818i 0.222670 0.0675462i
\(540\) −31.9471 + 13.7935i −1.37479 + 0.593580i
\(541\) −18.7679 + 22.8688i −0.806895 + 0.983205i 0.193103 + 0.981179i \(0.438145\pi\)
−0.999998 + 0.00202632i \(0.999355\pi\)
\(542\) 0.848515 + 1.48810i 0.0364468 + 0.0639193i
\(543\) 19.2770 + 2.79857i 0.827257 + 0.120098i
\(544\) −12.9819 + 3.10692i −0.556596 + 0.133208i
\(545\) 2.88400 + 2.88400i 0.123537 + 0.123537i
\(546\) −2.68598 + 1.05433i −0.114949 + 0.0451212i
\(547\) −13.2818 + 16.1840i −0.567890 + 0.691976i −0.975203 0.221313i \(-0.928966\pi\)
0.407313 + 0.913289i \(0.366466\pi\)
\(548\) 29.2601 14.0402i 1.24993 0.599770i
\(549\) −16.5432 + 0.102333i −0.706047 + 0.00436748i
\(550\) 5.21465 + 7.36032i 0.222353 + 0.313845i
\(551\) 17.8372 11.9184i 0.759890 0.507742i
\(552\) −5.10837 + 19.3211i −0.217427 + 0.822360i
\(553\) −7.07349 + 10.5862i −0.300795 + 0.450172i
\(554\) 16.8205 17.7666i 0.714636 0.754831i
\(555\) 9.74896 + 16.1517i 0.413820 + 0.685600i
\(556\) 12.7767 17.4308i 0.541853 0.739229i
\(557\) 14.6824 + 4.45387i 0.622115 + 0.188717i 0.585578 0.810616i \(-0.300867\pi\)
0.0365368 + 0.999332i \(0.488367\pi\)
\(558\) −0.152184 4.53673i −0.00644248 0.192055i
\(559\) 4.15518 + 10.0315i 0.175745 + 0.424287i
\(560\) −17.3595 3.25114i −0.733575 0.137386i
\(561\) −1.03230 4.06774i −0.0435836 0.171740i
\(562\) 0.115546 + 0.00819764i 0.00487403 + 0.000345796i
\(563\) 11.7513 + 21.9852i 0.495260 + 0.926566i 0.998066 + 0.0621669i \(0.0198011\pi\)
−0.502806 + 0.864399i \(0.667699\pi\)
\(564\) 1.76133 + 0.334450i 0.0741655 + 0.0140829i
\(565\) 5.64402 + 6.87726i 0.237446 + 0.289328i
\(566\) −10.5618 + 27.6107i −0.443946 + 1.16057i
\(567\) 11.0197 + 4.40560i 0.462784 + 0.185018i
\(568\) 22.3194 32.2640i 0.936500 1.35377i
\(569\) 7.90112 39.7216i 0.331232 1.66522i −0.352751 0.935717i \(-0.614754\pi\)
0.683983 0.729498i \(-0.260246\pi\)
\(570\) −17.6088 + 20.6585i −0.737551 + 0.865289i
\(571\) 7.48645 14.0062i 0.313298 0.586140i −0.675153 0.737678i \(-0.735922\pi\)
0.988451 + 0.151538i \(0.0484225\pi\)
\(572\) 1.81621 + 0.259012i 0.0759394 + 0.0108298i
\(573\) −2.62555 2.87891i −0.109684 0.120268i
\(574\) 2.67176 + 21.1733i 0.111517 + 0.883759i
\(575\) 25.3408i 1.05678i
\(576\) −18.9430 + 14.7364i −0.789293 + 0.614017i
\(577\) 25.8693i 1.07695i 0.842640 + 0.538477i \(0.181000\pi\)
−0.842640 + 0.538477i \(0.819000\pi\)
\(578\) 16.0398 2.02398i 0.667166 0.0841863i
\(579\) 16.7882 + 18.4081i 0.697692 + 0.765016i
\(580\) −34.7207 + 26.0536i −1.44170 + 1.08182i
\(581\) −11.2697 + 21.0840i −0.467544 + 0.874713i
\(582\) 7.30892 + 6.22994i 0.302964 + 0.258239i
\(583\) 2.57202 12.9304i 0.106522 0.535523i
\(584\) −8.74877 1.88747i −0.362026 0.0781039i
\(585\) 0.824335 8.93594i 0.0340820 0.369456i
\(586\) −12.7181 4.86499i −0.525378 0.200971i
\(587\) −16.0227 19.5237i −0.661327 0.805829i 0.329037 0.944317i \(-0.393276\pi\)
−0.990364 + 0.138488i \(0.955776\pi\)
\(588\) −10.2569 15.0651i −0.422987 0.621276i
\(589\) −1.66921 3.12287i −0.0687784 0.128675i
\(590\) 2.12587 29.9643i 0.0875208 1.23361i
\(591\) 6.13769 + 24.1854i 0.252471 + 0.994855i
\(592\) 9.30327 + 9.09696i 0.382362 + 0.373883i
\(593\) −14.3915 34.7442i −0.590988 1.42677i −0.882549 0.470220i \(-0.844175\pi\)
0.291561 0.956552i \(-0.405825\pi\)
\(594\) −4.71371 5.89189i −0.193406 0.241747i
\(595\) −9.97029 3.02445i −0.408742 0.123991i
\(596\) −5.23454 33.9750i −0.214415 1.39167i
\(597\) −0.136600 0.226314i −0.00559068 0.00926240i
\(598\) −3.74262 3.54333i −0.153047 0.144897i
\(599\) 2.56694 3.84170i 0.104882 0.156967i −0.775316 0.631573i \(-0.782409\pi\)
0.880198 + 0.474606i \(0.157409\pi\)
\(600\) 18.4454 24.2046i 0.753032 0.988147i
\(601\) −15.8310 + 10.5779i −0.645759 + 0.431482i −0.834850 0.550477i \(-0.814446\pi\)
0.189091 + 0.981959i \(0.439446\pi\)
\(602\) 18.4945 13.1030i 0.753780 0.534039i
\(603\) −0.205341 33.1954i −0.00836213 1.35182i
\(604\) −40.9639 14.3986i −1.66680 0.585871i
\(605\) 21.1267 25.7430i 0.858923 1.04660i
\(606\) 8.01062 + 20.4076i 0.325409 + 0.829002i
\(607\) −22.9164 22.9164i −0.930150 0.930150i 0.0675651 0.997715i \(-0.478477\pi\)
−0.997715 + 0.0675651i \(0.978477\pi\)
\(608\) −8.18235 + 16.8391i −0.331838 + 0.682916i
\(609\) 14.6509 + 2.12697i 0.593684 + 0.0861890i
\(610\) 22.6846 12.9348i 0.918473 0.523715i
\(611\) −0.293306 + 0.357394i −0.0118659 + 0.0144586i
\(612\) −12.0573 + 7.42149i −0.487387 + 0.299996i
\(613\) −18.0949 + 5.48902i −0.730845 + 0.221699i −0.633709 0.773572i \(-0.718468\pi\)
−0.0971361 + 0.995271i \(0.530968\pi\)
\(614\) 17.2814 + 2.94873i 0.697419 + 0.119001i
\(615\) −62.5602 22.1664i −2.52267 0.893835i
\(616\) −0.313831 3.81675i −0.0126446 0.153781i
\(617\) −0.653865 + 0.978579i −0.0263236 + 0.0393961i −0.844398 0.535716i \(-0.820042\pi\)
0.818074 + 0.575112i \(0.195042\pi\)
\(618\) −18.3826 + 14.5212i −0.739458 + 0.584126i
\(619\) −11.3756 1.12040i −0.457223 0.0450325i −0.133216 0.991087i \(-0.542530\pi\)
−0.324007 + 0.946055i \(0.605030\pi\)
\(620\) 3.71797 + 6.12493i 0.149317 + 0.245983i
\(621\) 1.23650 + 21.1612i 0.0496190 + 0.849169i
\(622\) 2.50608 5.01366i 0.100485 0.201030i
\(623\) −5.73590 13.8477i −0.229804 0.554796i
\(624\) −0.995640 6.10868i −0.0398575 0.244543i
\(625\) 6.68626 16.1421i 0.267451 0.645683i
\(626\) 7.68612 + 8.86001i 0.307199 + 0.354117i
\(627\) −5.32864 2.50012i −0.212805 0.0998452i
\(628\) 22.2973 + 10.3933i 0.889759 + 0.414737i
\(629\) 4.86960 + 5.93362i 0.194163 + 0.236589i
\(630\) −18.5705 + 2.46010i −0.739865 + 0.0980129i
\(631\) −9.61377 48.3317i −0.382718 1.92405i −0.382260 0.924055i \(-0.624854\pi\)
−0.000458025 1.00000i \(-0.500146\pi\)
\(632\) −18.9967 19.6198i −0.755648 0.780434i
\(633\) 2.98630 1.42373i 0.118695 0.0565883i
\(634\) 23.9523 + 15.0737i 0.951266 + 0.598654i
\(635\) −20.6047 + 38.5487i −0.817673 + 1.52976i
\(636\) −44.2240 + 4.74445i −1.75359 + 0.188130i
\(637\) 4.67744 0.460688i 0.185327 0.0182531i
\(638\) −7.43659 5.77011i −0.294417 0.228441i
\(639\) 11.8326 39.8936i 0.468091 1.57817i
\(640\) 14.6693 34.9275i 0.579855 1.38063i
\(641\) 23.6334i 0.933464i 0.884399 + 0.466732i \(0.154569\pi\)
−0.884399 + 0.466732i \(0.845431\pi\)
\(642\) 0.00603098 0.323377i 0.000238024 0.0127627i
\(643\) 0.896997 + 9.10736i 0.0353741 + 0.359159i 0.996535 + 0.0831716i \(0.0265049\pi\)
−0.961161 + 0.275988i \(0.910995\pi\)
\(644\) −5.47918 + 9.25877i −0.215910 + 0.364847i
\(645\) 10.5587 + 69.6950i 0.415748 + 2.74424i
\(646\) −5.88261 + 9.34752i −0.231448 + 0.367773i
\(647\) 6.07068 30.5194i 0.238663 1.19984i −0.656578 0.754258i \(-0.727997\pi\)
0.895241 0.445582i \(-0.147003\pi\)
\(648\) −14.2221 + 21.1124i −0.558695 + 0.829373i
\(649\) 6.38855 1.27076i 0.250772 0.0498817i
\(650\) 3.20042 + 7.16575i 0.125531 + 0.281064i
\(651\) 0.586421 2.37223i 0.0229836 0.0929750i
\(652\) −19.7636 9.21228i −0.774004 0.360781i
\(653\) 9.26834 + 17.3398i 0.362698 + 0.678561i 0.995397 0.0958373i \(-0.0305529\pi\)
−0.632699 + 0.774398i \(0.718053\pi\)
\(654\) 2.91495 + 0.636545i 0.113984 + 0.0248909i
\(655\) 25.6489 + 10.6241i 1.00218 + 0.415118i
\(656\) −45.6032 3.97581i −1.78051 0.155229i
\(657\) −9.44132 + 0.988893i −0.368341 + 0.0385804i
\(658\) 0.863284 + 0.431512i 0.0336543 + 0.0168221i
\(659\) 6.01361 + 1.82421i 0.234257 + 0.0710611i 0.405231 0.914215i \(-0.367191\pi\)
−0.170973 + 0.985276i \(0.554691\pi\)
\(660\) 11.0428 + 4.46192i 0.429839 + 0.173680i
\(661\) −1.41113 + 14.3275i −0.0548868 + 0.557275i 0.927938 + 0.372734i \(0.121580\pi\)
−0.982825 + 0.184541i \(0.940920\pi\)
\(662\) 39.5955 1.08308i 1.53892 0.0420949i
\(663\) −0.190436 3.64626i −0.00739591 0.141609i
\(664\) −39.1096 33.1667i −1.51775 1.28712i
\(665\) −12.1502 + 8.11850i −0.471165 + 0.314822i
\(666\) 12.3827 + 6.09405i 0.479820 + 0.236139i
\(667\) 7.67591 + 25.3041i 0.297212 + 0.979778i
\(668\) 8.32602 + 7.46168i 0.322143 + 0.288701i
\(669\) 18.7994 + 0.865277i 0.726825 + 0.0334536i
\(670\) 25.9548 + 45.5187i 1.00272 + 1.75854i
\(671\) 4.00386 + 4.00386i 0.154567 + 0.154567i
\(672\) −11.9729 + 4.85536i −0.461865 + 0.187299i
\(673\) −7.41594 + 7.41594i −0.285863 + 0.285863i −0.835442 0.549579i \(-0.814788\pi\)
0.549579 + 0.835442i \(0.314788\pi\)
\(674\) −4.90378 1.34227i −0.188887 0.0517024i
\(675\) 10.5916 30.4906i 0.407671 1.17358i
\(676\) −23.0230 8.09248i −0.885502 0.311249i
\(677\) −39.1826 + 11.8859i −1.50591 + 0.456812i −0.932107 0.362182i \(-0.882032\pi\)
−0.573801 + 0.818994i \(0.694532\pi\)
\(678\) 6.19173 + 2.00506i 0.237792 + 0.0770039i
\(679\) 2.87230 + 4.29871i 0.110229 + 0.164969i
\(680\) 10.8515 19.5368i 0.416136 0.749203i
\(681\) −0.100016 1.91500i −0.00383262 0.0733829i
\(682\) −1.06815 + 1.12822i −0.0409014 + 0.0432019i
\(683\) 41.6777 + 4.10489i 1.59475 + 0.157069i 0.856025 0.516935i \(-0.172927\pi\)
0.738728 + 0.674004i \(0.235427\pi\)
\(684\) −2.68188 + 19.6755i −0.102544 + 0.752313i
\(685\) −15.7727 + 51.9955i −0.602643 + 1.98665i
\(686\) −7.23319 21.6909i −0.276165 0.828161i
\(687\) 7.49879 12.5992i 0.286097 0.480689i
\(688\) 19.1074 + 44.7050i 0.728463 + 1.70436i
\(689\) 4.38947 10.5971i 0.167225 0.403718i
\(690\) −18.0668 28.1619i −0.687793 1.07211i
\(691\) 4.32856 2.31366i 0.164666 0.0880158i −0.387005 0.922078i \(-0.626490\pi\)
0.551671 + 0.834062i \(0.313990\pi\)
\(692\) −2.10067 + 48.2815i −0.0798555 + 1.83539i
\(693\) −1.57762 3.74306i −0.0599289 0.142187i
\(694\) −9.16268 + 23.9531i −0.347811 + 0.909247i
\(695\) 7.05892 + 35.4876i 0.267760 + 1.34612i
\(696\) −11.0870 + 29.7567i −0.420251 + 1.12793i
\(697\) −26.4858 5.26834i −1.00322 0.199553i
\(698\) 10.8447 + 47.6682i 0.410477 + 1.80427i
\(699\) −0.340165 2.24534i −0.0128662 0.0849264i
\(700\) 13.1035 9.83259i 0.495268 0.371637i
\(701\) 27.2950 2.68832i 1.03092 0.101536i 0.431614 0.902059i \(-0.357944\pi\)
0.599303 + 0.800522i \(0.295444\pi\)
\(702\) −3.02220 5.82769i −0.114066 0.219952i
\(703\) 10.7658 0.406042
\(704\) 8.14463 + 1.06849i 0.306962 + 0.0402702i
\(705\) −2.40531 + 1.79545i −0.0905891 + 0.0676207i
\(706\) −37.0272 + 4.67227i −1.39354 + 0.175843i
\(707\) 1.15681 + 11.7453i 0.0435063 + 0.441727i
\(708\) −10.5272 19.2895i −0.395637 0.724944i
\(709\) 7.52066 + 4.01988i 0.282444 + 0.150970i 0.606536 0.795056i \(-0.292559\pi\)
−0.324092 + 0.946026i \(0.605059\pi\)
\(710\) 14.5705 + 64.0453i 0.546822 + 2.40358i
\(711\) −25.6298 13.4963i −0.961194 0.506149i
\(712\) 31.6294 5.76261i 1.18536 0.215963i
\(713\) 4.28078 0.851500i 0.160316 0.0318889i
\(714\) −7.33363 + 2.07612i −0.274454 + 0.0776967i
\(715\) −2.37428 + 1.94852i −0.0887929 + 0.0728705i
\(716\) 17.5896 16.1228i 0.657352 0.602536i
\(717\) 2.66085 + 1.24843i 0.0993712 + 0.0466236i
\(718\) −0.743189 + 10.4753i −0.0277356 + 0.390935i
\(719\) −2.80638 1.16244i −0.104660 0.0433518i 0.329739 0.944072i \(-0.393039\pi\)
−0.434399 + 0.900720i \(0.643039\pi\)
\(720\) 3.24217 40.0499i 0.120829 1.49257i
\(721\) −11.6511 + 4.82604i −0.433909 + 0.179731i
\(722\) −3.59989 10.7953i −0.133974 0.401761i
\(723\) −2.40775 6.66416i −0.0895451 0.247843i
\(724\) −13.2973 + 18.1410i −0.494191 + 0.674206i
\(725\) 3.94668 40.0713i 0.146576 1.48821i
\(726\) 2.83954 24.1958i 0.105385 0.897990i
\(727\) 31.0438 + 20.7428i 1.15135 + 0.769308i 0.976549 0.215295i \(-0.0690714\pi\)
0.174802 + 0.984604i \(0.444071\pi\)
\(728\) 0.380038 3.31014i 0.0140851 0.122682i
\(729\) −7.35689 + 25.9784i −0.272478 + 0.962162i
\(730\) 12.2266 8.66235i 0.452529 0.320608i
\(731\) 8.32555 + 27.4456i 0.307931 + 1.01511i
\(732\) 8.85812 16.9249i 0.327405 0.625561i
\(733\) 32.1946 + 26.4215i 1.18914 + 0.975899i 0.999982 0.00604857i \(-0.00192533\pi\)
0.189154 + 0.981947i \(0.439425\pi\)
\(734\) 2.78058 + 0.761105i 0.102633 + 0.0280929i
\(735\) 30.1964 + 4.38381i 1.11381 + 0.161699i
\(736\) −16.9346 15.6765i −0.624217 0.577844i
\(737\) −8.03409 + 8.03409i −0.295940 + 0.295940i
\(738\) −47.2757 + 11.0634i −1.74024 + 0.407250i
\(739\) −36.2684 29.7647i −1.33415 1.09491i −0.987619 0.156875i \(-0.949858\pi\)
−0.346535 0.938037i \(-0.612642\pi\)
\(740\) −21.7518 + 1.19086i −0.799611 + 0.0437771i
\(741\) −4.12263 3.03783i −0.151449 0.111598i
\(742\) −23.6026 4.02733i −0.866480 0.147848i
\(743\) −0.0370710 0.0554807i −0.00136000 0.00203539i 0.830789 0.556588i \(-0.187890\pi\)
−0.832149 + 0.554552i \(0.812890\pi\)
\(744\) 4.70864 + 2.30264i 0.172627 + 0.0844188i
\(745\) 47.8530 + 31.9744i 1.75320 + 1.17145i
\(746\) 8.62469 0.235915i 0.315772 0.00863748i
\(747\) −50.3777 20.5030i −1.84322 0.750164i
\(748\) 4.70722 + 1.15109i 0.172113 + 0.0420881i
\(749\) 0.0505427 0.166617i 0.00184679 0.00608805i
\(750\) 1.75700 + 9.78309i 0.0641567 + 0.357228i
\(751\) 15.3674 6.36538i 0.560764 0.232276i −0.0842531 0.996444i \(-0.526850\pi\)
0.645017 + 0.764168i \(0.276850\pi\)
\(752\) −1.29527 + 1.61487i −0.0472335 + 0.0588884i
\(753\) −9.98506 39.3459i −0.363876 1.43384i
\(754\) −5.36634 6.18593i −0.195430 0.225278i
\(755\) 64.1115 34.2683i 2.33326 1.24715i
\(756\) −10.4625 + 8.85023i −0.380518 + 0.321880i
\(757\) 34.7465 28.5157i 1.26288 1.03642i 0.265500 0.964111i \(-0.414463\pi\)
0.997382 0.0723101i \(-0.0230371\pi\)
\(758\) −16.6137 37.1980i −0.603435 1.35109i
\(759\) 4.85561 5.39075i 0.176247 0.195672i
\(760\) −11.5261 29.1480i −0.418096 1.05731i
\(761\) 30.2442 + 6.01595i 1.09635 + 0.218078i 0.709950 0.704252i \(-0.248718\pi\)
0.386403 + 0.922330i \(0.373718\pi\)
\(762\) 2.54023 + 31.8744i 0.0920229 + 1.15469i
\(763\) 1.41653 + 0.757153i 0.0512819 + 0.0274108i
\(764\) 4.35810 1.11765i 0.157671 0.0404351i
\(765\) 4.48050 23.2766i 0.161993 0.841566i
\(766\) −8.20991 6.37013i −0.296636 0.230162i
\(767\) 5.66710 0.204627
\(768\) −4.76440 27.3002i −0.171921 0.985111i
\(769\) 30.7664 1.10946 0.554732 0.832029i \(-0.312821\pi\)
0.554732 + 0.832029i \(0.312821\pi\)
\(770\) 5.06560 + 3.93043i 0.182551 + 0.141643i
\(771\) 21.9820 + 24.1032i 0.791663 + 0.868055i
\(772\) −27.8663 + 7.14640i −1.00293 + 0.257205i
\(773\) −13.5972 7.26785i −0.489057 0.261407i 0.208386