Properties

Label 384.2.v.a.13.20
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.20
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.320440 - 1.37743i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-1.79464 - 0.882769i) q^{4} +(-0.362380 - 3.67931i) q^{5} +(1.41114 - 0.0932050i) q^{6} +(1.08924 - 1.63016i) q^{7} +(-1.79103 + 2.18911i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(0.320440 - 1.37743i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-1.79464 - 0.882769i) q^{4} +(-0.362380 - 3.67931i) q^{5} +(1.41114 - 0.0932050i) q^{6} +(1.08924 - 1.63016i) q^{7} +(-1.79103 + 2.18911i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(-5.18411 - 0.679844i) q^{10} +(-2.84568 + 1.52105i) q^{11} +(0.323802 - 1.97361i) q^{12} +(-0.240556 - 0.0236927i) q^{13} +(-1.89640 - 2.02272i) q^{14} +(3.41568 - 1.41482i) q^{15} +(2.44144 + 3.16850i) q^{16} +(-5.94374 - 2.46198i) q^{17} +(0.498824 + 1.32332i) q^{18} +(6.47447 - 5.31346i) q^{19} +(-2.59764 + 6.92291i) q^{20} +(1.87615 + 0.569125i) q^{21} +(1.18327 + 4.40713i) q^{22} +(-0.594348 + 2.98799i) q^{23} +(-2.61476 - 1.07844i) q^{24} +(-8.50205 + 1.69116i) q^{25} +(-0.109719 + 0.323758i) q^{26} +(-0.773010 - 0.634393i) q^{27} +(-3.39384 + 1.96400i) q^{28} +(2.49129 - 4.66087i) q^{29} +(-0.854298 - 5.15824i) q^{30} +(0.818174 - 0.818174i) q^{31} +(5.14673 - 2.34760i) q^{32} +(-2.28161 - 2.28161i) q^{33} +(-5.29582 + 7.39818i) q^{34} +(-6.39257 - 3.41690i) q^{35} +(1.98263 - 0.263050i) q^{36} +(3.95276 - 4.81646i) q^{37} +(-5.24425 - 10.6208i) q^{38} +(-0.0471573 - 0.237076i) q^{39} +(8.70345 + 5.79645i) q^{40} +(-2.42653 - 0.482668i) q^{41} +(1.38513 - 2.40190i) q^{42} +(-0.861566 + 2.84020i) q^{43} +(6.44969 - 0.217648i) q^{44} +(2.34542 + 2.85790i) q^{45} +(3.92530 + 1.77615i) q^{46} +(3.72788 - 8.99989i) q^{47} +(-2.32335 + 3.25608i) q^{48} +(1.20780 + 2.91590i) q^{49} +(-0.394938 + 12.2529i) q^{50} +(0.630589 - 6.40248i) q^{51} +(0.410796 + 0.254876i) q^{52} +(5.77121 + 10.7972i) q^{53} +(-1.12154 + 0.861484i) q^{54} +(6.62761 + 9.91892i) q^{55} +(1.61775 + 5.30413i) q^{56} +(6.96410 + 4.65326i) q^{57} +(-5.62172 - 4.92511i) q^{58} +(4.74257 - 0.467102i) q^{59} +(-7.37887 - 0.476169i) q^{60} +(-4.34322 + 1.31750i) q^{61} +(-0.864803 - 1.38916i) q^{62} +1.96058i q^{63} +(-1.58444 - 7.84153i) q^{64} +0.893666i q^{65} +(-3.87388 + 2.41164i) q^{66} +(13.4450 - 4.07849i) q^{67} +(8.49349 + 9.66531i) q^{68} +(-3.03186 + 0.298612i) q^{69} +(-6.75499 + 7.71042i) q^{70} +(10.9379 + 7.30845i) q^{71} +(0.272979 - 2.81522i) q^{72} +(3.83429 + 5.73842i) q^{73} +(-5.36772 - 6.98805i) q^{74} +(-4.08636 - 7.64504i) q^{75} +(-16.3099 + 3.82026i) q^{76} +(-0.620071 + 6.29569i) q^{77} +(-0.341667 - 0.0110127i) q^{78} +(0.484546 + 1.16980i) q^{79} +(10.7732 - 10.1310i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-1.44240 + 3.18772i) q^{82} +(-4.93831 - 6.01734i) q^{83} +(-2.86461 - 2.67758i) q^{84} +(-6.90448 + 22.7610i) q^{85} +(3.63611 + 2.09686i) q^{86} +(5.18336 + 1.03103i) q^{87} +(1.76695 - 8.95375i) q^{88} +(-2.97495 - 14.9561i) q^{89} +(4.68814 - 2.31487i) q^{90} +(-0.300646 + 0.366338i) q^{91} +(3.70434 - 4.83768i) q^{92} +(1.02045 + 0.545440i) q^{93} +(-11.2022 - 8.01883i) q^{94} +(-21.8961 - 21.8961i) q^{95} +(3.74053 + 4.24364i) q^{96} +(-7.36441 + 7.36441i) q^{97} +(4.40348 - 0.729296i) q^{98} +(1.52105 - 2.84568i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.320440 1.37743i 0.226586 0.973991i
\(3\) 0.290285 + 0.956940i 0.167596 + 0.552490i
\(4\) −1.79464 0.882769i −0.897318 0.441385i
\(5\) −0.362380 3.67931i −0.162061 1.64544i −0.640966 0.767569i \(-0.721466\pi\)
0.478905 0.877867i \(-0.341034\pi\)
\(6\) 1.41114 0.0932050i 0.576095 0.0380508i
\(7\) 1.08924 1.63016i 0.411693 0.616142i −0.566445 0.824100i \(-0.691682\pi\)
0.978138 + 0.207957i \(0.0666815\pi\)
\(8\) −1.79103 + 2.18911i −0.633224 + 0.773969i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) −5.18411 0.679844i −1.63936 0.214986i
\(11\) −2.84568 + 1.52105i −0.858004 + 0.458613i −0.840868 0.541240i \(-0.817955\pi\)
−0.0171361 + 0.999853i \(0.505455\pi\)
\(12\) 0.323802 1.97361i 0.0934737 0.569733i
\(13\) −0.240556 0.0236927i −0.0667183 0.00657118i 0.0646029 0.997911i \(-0.479422\pi\)
−0.131321 + 0.991340i \(0.541922\pi\)
\(14\) −1.89640 2.02272i −0.506834 0.540594i
\(15\) 3.41568 1.41482i 0.881926 0.365306i
\(16\) 2.44144 + 3.16850i 0.610359 + 0.792125i
\(17\) −5.94374 2.46198i −1.44157 0.597117i −0.481391 0.876506i \(-0.659868\pi\)
−0.960178 + 0.279389i \(0.909868\pi\)
\(18\) 0.498824 + 1.32332i 0.117574 + 0.311909i
\(19\) 6.47447 5.31346i 1.48534 1.21899i 0.566689 0.823932i \(-0.308224\pi\)
0.918656 0.395059i \(-0.129276\pi\)
\(20\) −2.59764 + 6.92291i −0.580850 + 1.54801i
\(21\) 1.87615 + 0.569125i 0.409410 + 0.124193i
\(22\) 1.18327 + 4.40713i 0.252273 + 0.939603i
\(23\) −0.594348 + 2.98799i −0.123930 + 0.623039i 0.868033 + 0.496507i \(0.165384\pi\)
−0.991963 + 0.126531i \(0.959616\pi\)
\(24\) −2.61476 1.07844i −0.533735 0.220136i
\(25\) −8.50205 + 1.69116i −1.70041 + 0.338233i
\(26\) −0.109719 + 0.323758i −0.0215177 + 0.0634941i
\(27\) −0.773010 0.634393i −0.148766 0.122089i
\(28\) −3.39384 + 1.96400i −0.641375 + 0.371161i
\(29\) 2.49129 4.66087i 0.462621 0.865502i −0.537137 0.843495i \(-0.680494\pi\)
0.999758 0.0220074i \(-0.00700573\pi\)
\(30\) −0.854298 5.15824i −0.155973 0.941761i
\(31\) 0.818174 0.818174i 0.146948 0.146948i −0.629805 0.776753i \(-0.716865\pi\)
0.776753 + 0.629805i \(0.216865\pi\)
\(32\) 5.14673 2.34760i 0.909821 0.415000i
\(33\) −2.28161 2.28161i −0.397177 0.397177i
\(34\) −5.29582 + 7.39818i −0.908226 + 1.26878i
\(35\) −6.39257 3.41690i −1.08054 0.577562i
\(36\) 1.98263 0.263050i 0.330438 0.0438417i
\(37\) 3.95276 4.81646i 0.649831 0.791821i −0.339013 0.940782i \(-0.610093\pi\)
0.988843 + 0.148961i \(0.0475929\pi\)
\(38\) −5.24425 10.6208i −0.850729 1.72292i
\(39\) −0.0471573 0.237076i −0.00755121 0.0379625i
\(40\) 8.70345 + 5.79645i 1.37614 + 0.916499i
\(41\) −2.42653 0.482668i −0.378961 0.0753800i 0.00193451 0.999998i \(-0.499384\pi\)
−0.380895 + 0.924618i \(0.624384\pi\)
\(42\) 1.38513 2.40190i 0.213730 0.370622i
\(43\) −0.861566 + 2.84020i −0.131388 + 0.433127i −0.997807 0.0661900i \(-0.978916\pi\)
0.866419 + 0.499317i \(0.166416\pi\)
\(44\) 6.44969 0.217648i 0.972327 0.0328116i
\(45\) 2.34542 + 2.85790i 0.349635 + 0.426031i
\(46\) 3.92530 + 1.77615i 0.578753 + 0.261878i
\(47\) 3.72788 8.99989i 0.543767 1.31277i −0.378280 0.925691i \(-0.623484\pi\)
0.922047 0.387078i \(-0.126516\pi\)
\(48\) −2.32335 + 3.25608i −0.335347 + 0.469974i
\(49\) 1.20780 + 2.91590i 0.172543 + 0.416556i
\(50\) −0.394938 + 12.2529i −0.0558527 + 1.73282i
\(51\) 0.630589 6.40248i 0.0883002 0.896527i
\(52\) 0.410796 + 0.254876i 0.0569671 + 0.0353449i
\(53\) 5.77121 + 10.7972i 0.792737 + 1.48311i 0.873741 + 0.486392i \(0.161687\pi\)
−0.0810041 + 0.996714i \(0.525813\pi\)
\(54\) −1.12154 + 0.861484i −0.152622 + 0.117233i
\(55\) 6.62761 + 9.91892i 0.893667 + 1.33747i
\(56\) 1.61775 + 5.30413i 0.216181 + 0.708794i
\(57\) 6.96410 + 4.65326i 0.922418 + 0.616340i
\(58\) −5.62172 4.92511i −0.738169 0.646699i
\(59\) 4.74257 0.467102i 0.617429 0.0608115i 0.215533 0.976497i \(-0.430851\pi\)
0.401897 + 0.915685i \(0.368351\pi\)
\(60\) −7.37887 0.476169i −0.952608 0.0614732i
\(61\) −4.34322 + 1.31750i −0.556093 + 0.168689i −0.555807 0.831311i \(-0.687591\pi\)
−0.000285186 1.00000i \(0.500091\pi\)
\(62\) −0.864803 1.38916i −0.109830 0.176423i
\(63\) 1.96058i 0.247009i
\(64\) −1.58444 7.84153i −0.198055 0.980191i
\(65\) 0.893666i 0.110846i
\(66\) −3.87388 + 2.41164i −0.476841 + 0.296852i
\(67\) 13.4450 4.07849i 1.64257 0.498267i 0.672294 0.740284i \(-0.265309\pi\)
0.970272 + 0.242017i \(0.0778091\pi\)
\(68\) 8.49349 + 9.66531i 1.02999 + 1.17209i
\(69\) −3.03186 + 0.298612i −0.364993 + 0.0359486i
\(70\) −6.75499 + 7.71042i −0.807375 + 0.921572i
\(71\) 10.9379 + 7.30845i 1.29809 + 0.867353i 0.996293 0.0860202i \(-0.0274150\pi\)
0.301793 + 0.953374i \(0.402415\pi\)
\(72\) 0.272979 2.81522i 0.0321709 0.331777i
\(73\) 3.83429 + 5.73842i 0.448770 + 0.671631i 0.985022 0.172426i \(-0.0551606\pi\)
−0.536253 + 0.844057i \(0.680161\pi\)
\(74\) −5.36772 6.98805i −0.623984 0.812344i
\(75\) −4.08636 7.64504i −0.471852 0.882773i
\(76\) −16.3099 + 3.82026i −1.87087 + 0.438214i
\(77\) −0.620071 + 6.29569i −0.0706637 + 0.717460i
\(78\) −0.341667 0.0110127i −0.0386861 0.00124694i
\(79\) 0.484546 + 1.16980i 0.0545156 + 0.131612i 0.948791 0.315905i \(-0.102308\pi\)
−0.894275 + 0.447518i \(0.852308\pi\)
\(80\) 10.7732 10.1310i 1.20447 1.13268i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −1.44240 + 3.18772i −0.159287 + 0.352025i
\(83\) −4.93831 6.01734i −0.542049 0.660489i 0.427891 0.903830i \(-0.359257\pi\)
−0.969941 + 0.243341i \(0.921757\pi\)
\(84\) −2.86461 2.67758i −0.312554 0.292148i
\(85\) −6.90448 + 22.7610i −0.748896 + 2.46878i
\(86\) 3.63611 + 2.09686i 0.392091 + 0.226111i
\(87\) 5.18336 + 1.03103i 0.555714 + 0.110538i
\(88\) 1.76695 8.95375i 0.188357 0.954473i
\(89\) −2.97495 14.9561i −0.315345 1.58534i −0.735263 0.677782i \(-0.762941\pi\)
0.419918 0.907562i \(-0.362059\pi\)
\(90\) 4.68814 2.31487i 0.494173 0.244009i
\(91\) −0.300646 + 0.366338i −0.0315163 + 0.0384027i
\(92\) 3.70434 4.83768i 0.386204 0.504363i
\(93\) 1.02045 + 0.545440i 0.105815 + 0.0565595i
\(94\) −11.2022 8.01883i −1.15542 0.827079i
\(95\) −21.8961 21.8961i −2.24649 2.24649i
\(96\) 3.74053 + 4.24364i 0.381766 + 0.433114i
\(97\) −7.36441 + 7.36441i −0.747742 + 0.747742i −0.974055 0.226312i \(-0.927333\pi\)
0.226312 + 0.974055i \(0.427333\pi\)
\(98\) 4.40348 0.729296i 0.444818 0.0736700i
\(99\) 1.52105 2.84568i 0.152871 0.286001i
\(100\) 16.7510 + 4.47033i 1.67510 + 0.447033i
\(101\) 1.22638 + 1.00646i 0.122029 + 0.100147i 0.693429 0.720525i \(-0.256099\pi\)
−0.571399 + 0.820672i \(0.693599\pi\)
\(102\) −8.61691 2.92021i −0.853201 0.289144i
\(103\) −8.77570 + 1.74560i −0.864696 + 0.171999i −0.607460 0.794350i \(-0.707812\pi\)
−0.257235 + 0.966349i \(0.582812\pi\)
\(104\) 0.482709 0.484171i 0.0473335 0.0474769i
\(105\) 1.41411 7.10919i 0.138003 0.693786i
\(106\) 16.7217 4.48960i 1.62415 0.436068i
\(107\) 10.8713 + 3.29776i 1.05097 + 0.318807i 0.768085 0.640348i \(-0.221210\pi\)
0.282881 + 0.959155i \(0.408710\pi\)
\(108\) 0.827249 + 1.82089i 0.0796021 + 0.175216i
\(109\) 11.6520 9.56253i 1.11606 0.915924i 0.119023 0.992892i \(-0.462024\pi\)
0.997034 + 0.0769676i \(0.0245238\pi\)
\(110\) 15.7864 5.95066i 1.50517 0.567373i
\(111\) 5.75649 + 2.38442i 0.546382 + 0.226319i
\(112\) 7.82446 0.528682i 0.739342 0.0499558i
\(113\) 3.45189 1.42982i 0.324727 0.134506i −0.214364 0.976754i \(-0.568768\pi\)
0.539091 + 0.842248i \(0.318768\pi\)
\(114\) 8.64113 8.10148i 0.809316 0.758773i
\(115\) 11.2091 + 1.10400i 1.04525 + 0.102949i
\(116\) −8.58543 + 6.16534i −0.797137 + 0.572437i
\(117\) 0.213178 0.113946i 0.0197083 0.0105343i
\(118\) 0.876308 6.68224i 0.0806707 0.615150i
\(119\) −10.4876 + 7.00757i −0.961393 + 0.642382i
\(120\) −3.02038 + 10.0113i −0.275722 + 0.913903i
\(121\) −0.326975 + 0.489353i −0.0297250 + 0.0444866i
\(122\) 0.423025 + 6.40467i 0.0382989 + 0.579852i
\(123\) −0.242502 2.46216i −0.0218656 0.222005i
\(124\) −2.19058 + 0.746066i −0.196720 + 0.0669987i
\(125\) 3.93721 + 12.9792i 0.352155 + 1.16090i
\(126\) 2.70056 + 0.628248i 0.240585 + 0.0559687i
\(127\) −5.11999 −0.454326 −0.227163 0.973857i \(-0.572945\pi\)
−0.227163 + 0.973857i \(0.572945\pi\)
\(128\) −11.3089 0.330289i −0.999574 0.0291937i
\(129\) −2.96800 −0.261318
\(130\) 1.23096 + 0.286367i 0.107963 + 0.0251160i
\(131\) −1.80021 5.93448i −0.157285 0.518498i 0.842512 0.538678i \(-0.181076\pi\)
−0.999796 + 0.0201800i \(0.993576\pi\)
\(132\) 2.08052 + 6.10879i 0.181086 + 0.531702i
\(133\) −1.60955 16.3420i −0.139566 1.41703i
\(134\) −1.30953 19.8265i −0.113126 1.71275i
\(135\) −2.05400 + 3.07403i −0.176780 + 0.264571i
\(136\) 16.0350 8.60205i 1.37499 0.737620i
\(137\) −9.70929 + 6.48754i −0.829521 + 0.554268i −0.896274 0.443501i \(-0.853736\pi\)
0.0667529 + 0.997770i \(0.478736\pi\)
\(138\) −0.560212 + 4.27186i −0.0476884 + 0.363645i
\(139\) −4.55213 + 2.43317i −0.386107 + 0.206378i −0.653017 0.757343i \(-0.726497\pi\)
0.266911 + 0.963721i \(0.413997\pi\)
\(140\) 8.45601 + 11.7753i 0.714663 + 0.995191i
\(141\) 9.69451 + 0.954826i 0.816425 + 0.0804108i
\(142\) 13.5718 12.7242i 1.13892 1.06779i
\(143\) 0.720584 0.298475i 0.0602582 0.0249598i
\(144\) −3.79030 1.27812i −0.315859 0.106510i
\(145\) −18.0516 7.47721i −1.49910 0.620948i
\(146\) 9.13294 3.44265i 0.755848 0.284916i
\(147\) −2.43973 + 2.00224i −0.201226 + 0.165142i
\(148\) −11.3456 + 5.15441i −0.932602 + 0.423690i
\(149\) −6.51869 1.97742i −0.534032 0.161997i 0.0117392 0.999931i \(-0.496263\pi\)
−0.545771 + 0.837934i \(0.683763\pi\)
\(150\) −11.8399 + 3.17890i −0.966728 + 0.259556i
\(151\) −1.91585 + 9.63165i −0.155910 + 0.783812i 0.821127 + 0.570745i \(0.193345\pi\)
−0.977037 + 0.213068i \(0.931655\pi\)
\(152\) 0.0358098 + 23.6899i 0.00290456 + 1.92150i
\(153\) 6.30984 1.25511i 0.510120 0.101469i
\(154\) 8.47318 + 2.87150i 0.682789 + 0.231392i
\(155\) −3.30680 2.71382i −0.265609 0.217980i
\(156\) −0.124653 + 0.467094i −0.00998023 + 0.0373974i
\(157\) 0.847269 1.58513i 0.0676195 0.126507i −0.845840 0.533436i \(-0.820900\pi\)
0.913460 + 0.406929i \(0.133400\pi\)
\(158\) 1.76658 0.292578i 0.140542 0.0232763i
\(159\) −8.65696 + 8.65696i −0.686541 + 0.686541i
\(160\) −10.5026 18.0857i −0.830304 1.42980i
\(161\) 4.22351 + 4.22351i 0.332859 + 0.332859i
\(162\) −1.14995 0.823169i −0.0903489 0.0646742i
\(163\) 8.73846 + 4.67081i 0.684449 + 0.365846i 0.776683 0.629892i \(-0.216901\pi\)
−0.0922338 + 0.995737i \(0.529401\pi\)
\(164\) 3.92866 + 3.00828i 0.306777 + 0.234907i
\(165\) −7.56792 + 9.22154i −0.589162 + 0.717896i
\(166\) −9.87091 + 4.87398i −0.766131 + 0.378294i
\(167\) −2.71605 13.6545i −0.210174 1.05662i −0.931422 0.363941i \(-0.881431\pi\)
0.721248 0.692677i \(-0.243569\pi\)
\(168\) −4.60612 + 3.08780i −0.355370 + 0.238229i
\(169\) −12.6929 2.52478i −0.976377 0.194213i
\(170\) 29.1393 + 16.8040i 2.23488 + 1.28881i
\(171\) −2.43132 + 8.01500i −0.185928 + 0.612922i
\(172\) 4.05344 4.33657i 0.309072 0.330660i
\(173\) 5.48915 + 6.68855i 0.417332 + 0.508521i 0.938664 0.344833i \(-0.112065\pi\)
−0.521332 + 0.853354i \(0.674565\pi\)
\(174\) 3.08114 6.80934i 0.233580 0.516215i
\(175\) −6.50389 + 15.7018i −0.491648 + 1.18694i
\(176\) −11.7670 5.30299i −0.886969 0.399728i
\(177\) 1.82368 + 4.40276i 0.137076 + 0.330932i
\(178\) −21.5543 0.694743i −1.61556 0.0520732i
\(179\) −0.852121 + 8.65173i −0.0636905 + 0.646661i 0.909351 + 0.416030i \(0.136579\pi\)
−0.973041 + 0.230631i \(0.925921\pi\)
\(180\) −1.68631 7.19936i −0.125690 0.536609i
\(181\) −10.1793 19.0442i −0.756624 1.41554i −0.904472 0.426534i \(-0.859735\pi\)
0.147848 0.989010i \(-0.452765\pi\)
\(182\) 0.408267 + 0.531509i 0.0302627 + 0.0393981i
\(183\) −2.52154 3.77375i −0.186398 0.278964i
\(184\) −5.47655 6.65267i −0.403737 0.490441i
\(185\) −19.1536 12.7980i −1.40820 0.940931i
\(186\) 1.07830 1.23082i 0.0790648 0.0902478i
\(187\) 20.6588 2.03471i 1.51072 0.148793i
\(188\) −14.6350 + 12.8607i −1.06737 + 0.937961i
\(189\) −1.87615 + 0.569125i −0.136470 + 0.0413978i
\(190\) −37.1767 + 23.1439i −2.69708 + 1.67904i
\(191\) 14.4920i 1.04860i 0.851533 + 0.524301i \(0.175673\pi\)
−0.851533 + 0.524301i \(0.824327\pi\)
\(192\) 7.04394 3.79249i 0.508352 0.273699i
\(193\) 12.3156i 0.886496i −0.896399 0.443248i \(-0.853826\pi\)
0.896399 0.443248i \(-0.146174\pi\)
\(194\) 7.78412 + 12.5038i 0.558867 + 0.897722i
\(195\) −0.855186 + 0.259418i −0.0612411 + 0.0185773i
\(196\) 0.406495 6.29918i 0.0290354 0.449942i
\(197\) −12.5851 + 1.23952i −0.896651 + 0.0883124i −0.535833 0.844324i \(-0.680002\pi\)
−0.360818 + 0.932636i \(0.617502\pi\)
\(198\) −3.43232 3.00701i −0.243924 0.213699i
\(199\) 8.24583 + 5.50969i 0.584531 + 0.390571i 0.812383 0.583125i \(-0.198170\pi\)
−0.227851 + 0.973696i \(0.573170\pi\)
\(200\) 11.5253 21.6409i 0.814959 1.53024i
\(201\) 7.80574 + 11.6821i 0.550575 + 0.823993i
\(202\) 1.77932 1.36674i 0.125192 0.0961637i
\(203\) −4.88436 9.13799i −0.342815 0.641361i
\(204\) −6.78359 + 10.9335i −0.474946 + 0.765495i
\(205\) −0.896555 + 9.10287i −0.0626181 + 0.635772i
\(206\) −0.407650 + 12.6473i −0.0284023 + 0.881178i
\(207\) −1.16586 2.81462i −0.0810325 0.195630i
\(208\) −0.512233 0.820047i −0.0355170 0.0568600i
\(209\) −10.3422 + 24.9684i −0.715387 + 1.72710i
\(210\) −9.33928 4.22590i −0.644472 0.291615i
\(211\) −2.90350 3.53793i −0.199885 0.243561i 0.663415 0.748252i \(-0.269107\pi\)
−0.863300 + 0.504691i \(0.831607\pi\)
\(212\) −0.825807 24.4716i −0.0567166 1.68072i
\(213\) −3.81865 + 12.5884i −0.261650 + 0.862544i
\(214\) 8.02604 13.9177i 0.548649 0.951394i
\(215\) 10.7622 + 2.14073i 0.733975 + 0.145997i
\(216\) 2.77324 0.555991i 0.188695 0.0378304i
\(217\) −0.442568 2.22494i −0.0300435 0.151039i
\(218\) −9.43797 19.1140i −0.639220 1.29456i
\(219\) −4.37829 + 5.33496i −0.295857 + 0.360503i
\(220\) −3.13803 23.6515i −0.211566 1.59458i
\(221\) 1.37147 + 0.733068i 0.0922553 + 0.0493115i
\(222\) 5.12898 7.16511i 0.344235 0.480891i
\(223\) 10.2404 + 10.2404i 0.685745 + 0.685745i 0.961289 0.275544i \(-0.0888579\pi\)
−0.275544 + 0.961289i \(0.588858\pi\)
\(224\) 1.77905 10.9471i 0.118868 0.731432i
\(225\) 6.12964 6.12964i 0.408642 0.408642i
\(226\) −0.863355 5.21292i −0.0574295 0.346758i
\(227\) −3.07541 + 5.75368i −0.204122 + 0.381885i −0.963064 0.269273i \(-0.913217\pi\)
0.758942 + 0.651158i \(0.225717\pi\)
\(228\) −8.39027 14.4986i −0.555659 0.960194i
\(229\) 1.04089 + 0.854237i 0.0687840 + 0.0564496i 0.668157 0.744020i \(-0.267083\pi\)
−0.599373 + 0.800470i \(0.704583\pi\)
\(230\) 5.11253 15.0860i 0.337110 0.994742i
\(231\) −6.20459 + 1.23417i −0.408232 + 0.0812025i
\(232\) 5.74121 + 13.8015i 0.376929 + 0.906111i
\(233\) −1.35885 + 6.83142i −0.0890215 + 0.447541i 0.910406 + 0.413715i \(0.135769\pi\)
−0.999428 + 0.0338258i \(0.989231\pi\)
\(234\) −0.0886421 0.330152i −0.00579472 0.0215827i
\(235\) −34.4643 10.4546i −2.24820 0.681985i
\(236\) −8.92352 3.34831i −0.580872 0.217957i
\(237\) −0.978769 + 0.803255i −0.0635779 + 0.0521770i
\(238\) 6.29180 + 16.6914i 0.407837 + 1.08194i
\(239\) 7.79158 + 3.22738i 0.503995 + 0.208762i 0.620170 0.784467i \(-0.287063\pi\)
−0.116175 + 0.993229i \(0.537063\pi\)
\(240\) 12.8220 + 7.36839i 0.827659 + 0.475628i
\(241\) 13.9095 5.76149i 0.895987 0.371130i 0.113311 0.993560i \(-0.463854\pi\)
0.782676 + 0.622429i \(0.213854\pi\)
\(242\) 0.569274 + 0.607194i 0.0365943 + 0.0390319i
\(243\) 0.995185 + 0.0980171i 0.0638411 + 0.00628780i
\(244\) 8.95755 + 1.46963i 0.573448 + 0.0940832i
\(245\) 10.2908 5.50054i 0.657454 0.351417i
\(246\) −3.46916 0.454946i −0.221186 0.0290063i
\(247\) −1.68337 + 1.12479i −0.107110 + 0.0715686i
\(248\) 0.325703 + 3.25645i 0.0206822 + 0.206785i
\(249\) 4.32472 6.47241i 0.274068 0.410172i
\(250\) 19.1397 1.26417i 1.21050 0.0799528i
\(251\) 1.43818 + 14.6021i 0.0907770 + 0.921674i 0.927444 + 0.373962i \(0.122001\pi\)
−0.836667 + 0.547712i \(0.815499\pi\)
\(252\) 1.73074 3.51852i 0.109026 0.221646i
\(253\) −2.85355 9.40688i −0.179401 0.591405i
\(254\) −1.64065 + 7.05244i −0.102944 + 0.442509i
\(255\) −23.7852 −1.48949
\(256\) −4.07877 + 15.4714i −0.254923 + 0.966961i
\(257\) −16.5637 −1.03321 −0.516607 0.856223i \(-0.672805\pi\)
−0.516607 + 0.856223i \(0.672805\pi\)
\(258\) −0.951068 + 4.08822i −0.0592109 + 0.254522i
\(259\) −3.54609 11.6899i −0.220344 0.726375i
\(260\) 0.788901 1.60381i 0.0489256 0.0994638i
\(261\) 0.518012 + 5.25946i 0.0320641 + 0.325552i
\(262\) −8.75120 + 0.578013i −0.540651 + 0.0357097i
\(263\) −11.8501 + 17.7349i −0.730709 + 1.09358i 0.261032 + 0.965330i \(0.415937\pi\)
−0.991741 + 0.128253i \(0.959063\pi\)
\(264\) 9.08112 0.908274i 0.558904 0.0559004i
\(265\) 37.6347 25.1467i 2.31188 1.54475i
\(266\) −23.0258 3.01960i −1.41180 0.185144i
\(267\) 13.4485 7.18838i 0.823036 0.439922i
\(268\) −27.7292 4.54941i −1.69383 0.277900i
\(269\) 32.3112 + 3.18238i 1.97005 + 0.194033i 0.998995 0.0448264i \(-0.0142735\pi\)
0.971054 + 0.238859i \(0.0767735\pi\)
\(270\) 3.57609 + 3.81429i 0.217634 + 0.232131i
\(271\) 13.9477 5.77734i 0.847264 0.350948i 0.0835508 0.996504i \(-0.473374\pi\)
0.763714 + 0.645555i \(0.223374\pi\)
\(272\) −6.71049 24.8435i −0.406883 1.50636i
\(273\) −0.437837 0.181358i −0.0264991 0.0109763i
\(274\) 5.82490 + 15.4528i 0.351895 + 0.933535i
\(275\) 21.6218 17.7445i 1.30384 1.07003i
\(276\) 5.70468 + 2.14053i 0.343382 + 0.128845i
\(277\) −14.6835 4.45419i −0.882245 0.267626i −0.183520 0.983016i \(-0.558749\pi\)
−0.698725 + 0.715390i \(0.746249\pi\)
\(278\) 1.89283 + 7.04994i 0.113525 + 0.422827i
\(279\) −0.225734 + 1.13484i −0.0135143 + 0.0679411i
\(280\) 18.9293 7.87430i 1.13124 0.470580i
\(281\) 6.08927 1.21123i 0.363255 0.0722559i −0.0100884 0.999949i \(-0.503211\pi\)
0.373344 + 0.927693i \(0.378211\pi\)
\(282\) 4.42172 13.0476i 0.263309 0.776971i
\(283\) −3.36042 2.75782i −0.199756 0.163935i 0.529198 0.848499i \(-0.322493\pi\)
−0.728954 + 0.684563i \(0.759993\pi\)
\(284\) −13.1778 22.7716i −0.781959 1.35125i
\(285\) 14.5971 27.3093i 0.864660 1.61766i
\(286\) −0.180226 1.08820i −0.0106570 0.0643465i
\(287\) −3.42990 + 3.42990i −0.202460 + 0.202460i
\(288\) −2.97509 + 4.81132i −0.175309 + 0.283510i
\(289\) 17.2459 + 17.2459i 1.01447 + 1.01447i
\(290\) −16.0838 + 22.4688i −0.944473 + 1.31941i
\(291\) −9.18507 4.90952i −0.538439 0.287801i
\(292\) −1.81545 13.6832i −0.106241 0.800747i
\(293\) 19.1653 23.3530i 1.11965 1.36430i 0.196206 0.980563i \(-0.437138\pi\)
0.923444 0.383734i \(-0.125362\pi\)
\(294\) 1.97615 + 4.00216i 0.115252 + 0.233411i
\(295\) −3.43722 17.2801i −0.200123 1.00609i
\(296\) 3.46426 + 17.2795i 0.201356 + 1.00435i
\(297\) 3.16468 + 0.629494i 0.183633 + 0.0365269i
\(298\) −4.81262 + 8.34540i −0.278787 + 0.483436i
\(299\) 0.213768 0.704698i 0.0123625 0.0407537i
\(300\) 0.584720 + 17.3274i 0.0337588 + 1.00040i
\(301\) 3.69153 + 4.49815i 0.212776 + 0.259269i
\(302\) 12.6530 + 5.72533i 0.728100 + 0.329456i
\(303\) −0.607127 + 1.46573i −0.0348785 + 0.0842042i
\(304\) 32.6427 + 7.54187i 1.87219 + 0.432556i
\(305\) 6.42139 + 15.5026i 0.367688 + 0.887677i
\(306\) 0.293106 9.09356i 0.0167557 0.519844i
\(307\) −2.67824 + 27.1926i −0.152855 + 1.55196i 0.546665 + 0.837351i \(0.315897\pi\)
−0.699520 + 0.714613i \(0.746603\pi\)
\(308\) 6.67044 10.7511i 0.380084 0.612600i
\(309\) −4.21788 7.89110i −0.239947 0.448909i
\(310\) −4.79774 + 3.68528i −0.272493 + 0.209310i
\(311\) −2.18643 3.27222i −0.123981 0.185551i 0.764287 0.644876i \(-0.223091\pi\)
−0.888268 + 0.459326i \(0.848091\pi\)
\(312\) 0.603446 + 0.321377i 0.0341634 + 0.0181944i
\(313\) −15.6076 10.4286i −0.882192 0.589462i 0.0298522 0.999554i \(-0.490496\pi\)
−0.912044 + 0.410093i \(0.865496\pi\)
\(314\) −1.91191 1.67499i −0.107895 0.0945254i
\(315\) 7.21356 0.710474i 0.406438 0.0400307i
\(316\) 0.163078 2.52710i 0.00917383 0.142161i
\(317\) 12.3010 3.73147i 0.690893 0.209580i 0.0747357 0.997203i \(-0.476189\pi\)
0.616157 + 0.787623i \(0.288689\pi\)
\(318\) 9.15033 + 14.6984i 0.513125 + 0.824246i
\(319\) 17.0527i 0.954768i
\(320\) −28.2772 + 8.67124i −1.58074 + 0.484737i
\(321\) 11.3605i 0.634078i
\(322\) 7.17098 4.46421i 0.399623 0.248781i
\(323\) −51.5642 + 15.6418i −2.86911 + 0.870334i
\(324\) −1.50235 + 1.32021i −0.0834639 + 0.0733448i
\(325\) 2.08529 0.205383i 0.115671 0.0113926i
\(326\) 9.23387 10.5399i 0.511417 0.583752i
\(327\) 12.5332 + 8.37439i 0.693085 + 0.463105i
\(328\) 5.40260 4.44749i 0.298309 0.245571i
\(329\) −10.6107 15.8801i −0.584988 0.875496i
\(330\) 10.2770 + 13.3792i 0.565729 + 0.736503i
\(331\) −11.9702 22.3946i −0.657940 1.23092i −0.960630 0.277830i \(-0.910385\pi\)
0.302690 0.953089i \(-0.402115\pi\)
\(332\) 3.55054 + 15.1583i 0.194861 + 0.831921i
\(333\) −0.610723 + 6.20078i −0.0334674 + 0.339800i
\(334\) −19.6785 0.634281i −1.07676 0.0347063i
\(335\) −19.8782 47.9902i −1.08606 2.62199i
\(336\) 2.77724 + 7.33408i 0.151511 + 0.400107i
\(337\) −7.82627 + 18.8943i −0.426324 + 1.02924i 0.554120 + 0.832437i \(0.313055\pi\)
−0.980444 + 0.196800i \(0.936945\pi\)
\(338\) −7.54502 + 16.6746i −0.410395 + 0.906977i
\(339\) 2.37029 + 2.88820i 0.128736 + 0.156866i
\(340\) 32.4838 34.7527i 1.76168 1.88473i
\(341\) −1.08378 + 3.57274i −0.0586899 + 0.193475i
\(342\) 10.2610 + 5.91731i 0.554853 + 0.319972i
\(343\) 19.5293 + 3.88462i 1.05448 + 0.209750i
\(344\) −4.67444 6.97295i −0.252029 0.375956i
\(345\) 2.19737 + 11.0469i 0.118302 + 0.594746i
\(346\) 10.9720 5.41765i 0.589856 0.291254i
\(347\) −19.2145 + 23.4130i −1.03149 + 1.25687i −0.0656210 + 0.997845i \(0.520903\pi\)
−0.965869 + 0.259030i \(0.916597\pi\)
\(348\) −8.39208 6.42604i −0.449863 0.344472i
\(349\) 20.7670 + 11.1002i 1.11163 + 0.594180i 0.921811 0.387639i \(-0.126709\pi\)
0.189821 + 0.981819i \(0.439209\pi\)
\(350\) 19.5440 + 13.9901i 1.04467 + 0.747805i
\(351\) 0.170922 + 0.170922i 0.00912315 + 0.00912315i
\(352\) −11.0751 + 14.5089i −0.590306 + 0.773328i
\(353\) −22.1356 + 22.1356i −1.17816 + 1.17816i −0.197949 + 0.980212i \(0.563428\pi\)
−0.980212 + 0.197949i \(0.936572\pi\)
\(354\) 6.64888 1.10118i 0.353384 0.0585269i
\(355\) 22.9264 42.8922i 1.21680 2.27648i
\(356\) −7.86383 + 29.4670i −0.416782 + 1.56175i
\(357\) −9.75020 8.00178i −0.516035 0.423499i
\(358\) 11.6441 + 3.94610i 0.615411 + 0.208558i
\(359\) 1.71653 0.341438i 0.0905947 0.0180204i −0.149585 0.988749i \(-0.547794\pi\)
0.240180 + 0.970728i \(0.422794\pi\)
\(360\) −10.4570 + 0.0158068i −0.551132 + 0.000833094i
\(361\) 9.97918 50.1687i 0.525220 2.64046i
\(362\) −29.4939 + 7.91881i −1.55017 + 0.416203i
\(363\) −0.563197 0.170844i −0.0295602 0.00896699i
\(364\) 0.862942 0.392043i 0.0452305 0.0205486i
\(365\) 19.7239 16.1870i 1.03240 0.847267i
\(366\) −6.00609 + 2.26399i −0.313943 + 0.118341i
\(367\) 1.22937 + 0.509223i 0.0641728 + 0.0265812i 0.414539 0.910032i \(-0.363943\pi\)
−0.350366 + 0.936613i \(0.613943\pi\)
\(368\) −10.9185 + 5.41179i −0.569166 + 0.282109i
\(369\) 2.28575 0.946787i 0.118991 0.0492877i
\(370\) −23.7660 + 22.2818i −1.23554 + 1.15838i
\(371\) 23.8873 + 2.35270i 1.24017 + 0.122146i
\(372\) −1.34983 1.87969i −0.0699856 0.0974572i
\(373\) −18.1530 + 9.70296i −0.939925 + 0.502400i −0.868853 0.495071i \(-0.835142\pi\)
−0.0710722 + 0.997471i \(0.522642\pi\)
\(374\) 3.81722 29.1080i 0.197384 1.50514i
\(375\) −11.2775 + 7.53535i −0.582365 + 0.389124i
\(376\) 13.0251 + 24.2798i 0.671716 + 1.25214i
\(377\) −0.709724 + 1.06218i −0.0365527 + 0.0547049i
\(378\) 0.182736 + 2.76664i 0.00939890 + 0.142301i
\(379\) 1.93027 + 19.5983i 0.0991512 + 1.00670i 0.908081 + 0.418794i \(0.137547\pi\)
−0.808930 + 0.587905i \(0.799953\pi\)
\(380\) 19.9663 + 58.6246i 1.02425 + 3.00738i
\(381\) −1.48625 4.89953i −0.0761431 0.251010i
\(382\) 19.9617 + 4.64381i 1.02133 + 0.237598i
\(383\) 20.2716 1.03583 0.517915 0.855432i \(-0.326708\pi\)
0.517915 + 0.855432i \(0.326708\pi\)
\(384\) −2.96673 10.9178i −0.151395 0.557147i
\(385\) 23.3885 1.19199
\(386\) −16.9639 3.94642i −0.863440 0.200867i
\(387\) −0.861566 2.84020i −0.0437959 0.144376i
\(388\) 19.7175 6.71536i 1.00100 0.340921i
\(389\) −3.09078 31.3813i −0.156709 1.59109i −0.676266 0.736657i \(-0.736403\pi\)
0.519557 0.854436i \(-0.326097\pi\)
\(390\) 0.0832942 + 1.26109i 0.00421777 + 0.0638576i
\(391\) 10.8890 16.2966i 0.550681 0.824152i
\(392\) −8.54644 2.57843i −0.431660 0.130230i
\(393\) 5.15637 3.44538i 0.260105 0.173796i
\(394\) −2.32541 + 17.7323i −0.117153 + 0.893340i
\(395\) 4.12845 2.20670i 0.207725 0.111031i
\(396\) −5.24180 + 3.76422i −0.263410 + 0.189159i
\(397\) 0.978932 + 0.0964164i 0.0491312 + 0.00483900i 0.122553 0.992462i \(-0.460892\pi\)
−0.0734217 + 0.997301i \(0.523392\pi\)
\(398\) 10.2315 9.59254i 0.512859 0.480831i
\(399\) 15.1711 6.28408i 0.759506 0.314598i
\(400\) −26.1157 22.8099i −1.30578 1.14049i
\(401\) 14.7885 + 6.12561i 0.738503 + 0.305898i 0.720041 0.693931i \(-0.244123\pi\)
0.0184624 + 0.999830i \(0.494123\pi\)
\(402\) 18.5926 7.00846i 0.927315 0.349550i
\(403\) −0.216202 + 0.177432i −0.0107698 + 0.00883853i
\(404\) −1.31243 2.88885i −0.0652958 0.143726i
\(405\) −3.53791 1.07321i −0.175800 0.0533284i
\(406\) −14.1521 + 3.79969i −0.702357 + 0.188575i
\(407\) −3.92224 + 19.7184i −0.194418 + 0.977406i
\(408\) 12.8864 + 12.8475i 0.637970 + 0.636044i
\(409\) −37.1861 + 7.39678i −1.83874 + 0.365747i −0.987320 0.158743i \(-0.949256\pi\)
−0.851416 + 0.524490i \(0.824256\pi\)
\(410\) 12.2513 + 4.15187i 0.605048 + 0.205046i
\(411\) −9.02665 7.40798i −0.445252 0.365409i
\(412\) 17.2901 + 4.61421i 0.851824 + 0.227326i
\(413\) 4.40433 8.23992i 0.216723 0.405460i
\(414\) −4.25054 + 0.703967i −0.208903 + 0.0345981i
\(415\) −20.3501 + 20.3501i −0.998947 + 0.998947i
\(416\) −1.29370 + 0.442790i −0.0634288 + 0.0217095i
\(417\) −3.64981 3.64981i −0.178732 0.178732i
\(418\) 31.0781 + 22.2466i 1.52008 + 1.08812i
\(419\) 11.5765 + 6.18777i 0.565550 + 0.302293i 0.729283 0.684212i \(-0.239854\pi\)
−0.163733 + 0.986505i \(0.552354\pi\)
\(420\) −8.81357 + 11.5101i −0.430058 + 0.561634i
\(421\) 9.15270 11.1526i 0.446075 0.543544i −0.500623 0.865665i \(-0.666896\pi\)
0.946699 + 0.322121i \(0.104396\pi\)
\(422\) −5.80366 + 2.86568i −0.282518 + 0.139499i
\(423\) 1.90046 + 9.55424i 0.0924033 + 0.464543i
\(424\) −33.9726 6.70421i −1.64986 0.325585i
\(425\) 54.6976 + 10.8800i 2.65322 + 0.527759i
\(426\) 16.1160 + 9.29377i 0.780824 + 0.450285i
\(427\) −2.58306 + 8.51522i −0.125003 + 0.412080i
\(428\) −16.5988 15.5151i −0.802334 0.749951i
\(429\) 0.494798 + 0.602913i 0.0238891 + 0.0291089i
\(430\) 6.39735 14.1382i 0.308508 0.681805i
\(431\) 3.77841 9.12189i 0.182000 0.439386i −0.806379 0.591399i \(-0.798576\pi\)
0.988378 + 0.152013i \(0.0485757\pi\)
\(432\) 0.122818 3.99811i 0.00590911 0.192359i
\(433\) 6.99247 + 16.8813i 0.336037 + 0.811265i 0.998088 + 0.0618062i \(0.0196861\pi\)
−0.662051 + 0.749458i \(0.730314\pi\)
\(434\) −3.20652 0.103353i −0.153918 0.00496111i
\(435\) 1.91515 19.4448i 0.0918242 0.932307i
\(436\) −29.3526 + 6.87525i −1.40573 + 0.329265i
\(437\) 12.0285 + 22.5037i 0.575399 + 1.07650i
\(438\) 5.94557 + 7.74033i 0.284090 + 0.369847i
\(439\) 7.72578 + 11.5625i 0.368732 + 0.551846i 0.968718 0.248164i \(-0.0798274\pi\)
−0.599986 + 0.800010i \(0.704827\pi\)
\(440\) −33.5839 3.25647i −1.60105 0.155246i
\(441\) −2.62424 1.75346i −0.124964 0.0834980i
\(442\) 1.44923 1.65421i 0.0689327 0.0786826i
\(443\) −6.19798 + 0.610448i −0.294475 + 0.0290032i −0.244176 0.969731i \(-0.578517\pi\)
−0.0502990 + 0.998734i \(0.516017\pi\)
\(444\) −8.22591 9.36081i −0.390385 0.444244i
\(445\) −53.9500 + 16.3656i −2.55748 + 0.775802i
\(446\) 17.3868 10.8240i 0.823289 0.512530i
\(447\) 6.81201i 0.322197i
\(448\) −14.5088 5.95840i −0.685475 0.281508i
\(449\) 40.8564i 1.92813i −0.265663 0.964066i \(-0.585591\pi\)
0.265663 0.964066i \(-0.414409\pi\)
\(450\) −6.47897 10.4073i −0.305422 0.490607i
\(451\) 7.63929 2.31735i 0.359720 0.109120i
\(452\) −7.45710 0.481217i −0.350752 0.0226346i
\(453\) −9.77306 + 0.962562i −0.459178 + 0.0452251i
\(454\) 6.93982 + 6.07987i 0.325702 + 0.285343i
\(455\) 1.45682 + 0.973415i 0.0682967 + 0.0456344i
\(456\) −22.6594 + 6.91108i −1.06112 + 0.323641i
\(457\) −8.71260 13.0393i −0.407558 0.609954i 0.569739 0.821826i \(-0.307044\pi\)
−0.977298 + 0.211871i \(0.932044\pi\)
\(458\) 1.51020 1.16002i 0.0705669 0.0542044i
\(459\) 3.03271 + 5.67380i 0.141555 + 0.264831i
\(460\) −19.1417 11.8763i −0.892486 0.553737i
\(461\) −0.495601 + 5.03192i −0.0230824 + 0.234360i 0.976721 + 0.214515i \(0.0688172\pi\)
−0.999803 + 0.0198446i \(0.993683\pi\)
\(462\) −0.288217 + 8.94188i −0.0134091 + 0.416014i
\(463\) −0.357726 0.863627i −0.0166249 0.0401362i 0.915349 0.402661i \(-0.131915\pi\)
−0.931974 + 0.362525i \(0.881915\pi\)
\(464\) 20.8503 3.48558i 0.967951 0.161814i
\(465\) 1.63705 3.95220i 0.0759165 0.183279i
\(466\) 8.97438 + 4.06079i 0.415730 + 0.188112i
\(467\) 8.27831 + 10.0872i 0.383075 + 0.466778i 0.928473 0.371399i \(-0.121122\pi\)
−0.545399 + 0.838177i \(0.683622\pi\)
\(468\) −0.483166 + 0.0163046i −0.0223343 + 0.000753683i
\(469\) 7.99619 26.3599i 0.369230 1.21719i
\(470\) −25.4443 + 44.1221i −1.17366 + 2.03520i
\(471\) 1.76282 + 0.350647i 0.0812266 + 0.0161570i
\(472\) −7.47153 + 11.2186i −0.343905 + 0.516378i
\(473\) −1.86834 9.39278i −0.0859064 0.431881i
\(474\) 0.792792 + 1.60558i 0.0364141 + 0.0737469i
\(475\) −46.0603 + 56.1247i −2.11339 + 2.57518i
\(476\) 25.0074 3.31793i 1.14621 0.152077i
\(477\) −10.7972 5.77121i −0.494369 0.264246i
\(478\) 6.94223 9.69818i 0.317530 0.443584i
\(479\) 3.01762 + 3.01762i 0.137879 + 0.137879i 0.772677 0.634799i \(-0.218917\pi\)
−0.634799 + 0.772677i \(0.718917\pi\)
\(480\) 14.2582 15.3004i 0.650793 0.698362i
\(481\) −1.06498 + 1.06498i −0.0485588 + 0.0485588i
\(482\) −3.47890 21.0055i −0.158460 0.956777i
\(483\) −2.81563 + 5.26767i −0.128115 + 0.239687i
\(484\) 1.01879 0.589567i 0.0463085 0.0267985i
\(485\) 29.7646 + 24.4272i 1.35154 + 1.10918i
\(486\) 0.453909 1.33939i 0.0205897 0.0607560i
\(487\) 0.431047 0.0857406i 0.0195326 0.00388528i −0.185314 0.982679i \(-0.559330\pi\)
0.204847 + 0.978794i \(0.434330\pi\)
\(488\) 4.89467 11.8675i 0.221571 0.537216i
\(489\) −1.93304 + 9.71805i −0.0874151 + 0.439465i
\(490\) −4.27904 15.9375i −0.193307 0.719981i
\(491\) 39.6454 + 12.0263i 1.78917 + 0.542740i 0.997657 0.0684078i \(-0.0217919\pi\)
0.791517 + 0.611148i \(0.209292\pi\)
\(492\) −1.73832 + 4.63275i −0.0783694 + 0.208861i
\(493\) −26.2825 + 21.5695i −1.18371 + 0.971442i
\(494\) 1.00990 + 2.67915i 0.0454376 + 0.120541i
\(495\) −11.0213 4.56518i −0.495371 0.205190i
\(496\) 4.58991 + 0.594864i 0.206093 + 0.0267102i
\(497\) 23.8279 9.86983i 1.06883 0.442722i
\(498\) −7.52948 8.03103i −0.337404 0.359879i
\(499\) −1.94065 0.191137i −0.0868754 0.00855648i 0.0544860 0.998515i \(-0.482648\pi\)
−0.141361 + 0.989958i \(0.545148\pi\)
\(500\) 4.39182 26.7687i 0.196408 1.19713i
\(501\) 12.2781 6.56280i 0.548546 0.293204i
\(502\) 20.5742 + 2.69810i 0.918271 + 0.120422i
\(503\) 17.0126 11.3674i 0.758552 0.506848i −0.115127 0.993351i \(-0.536728\pi\)
0.873679 + 0.486502i \(0.161728\pi\)
\(504\) −4.29192 3.51145i −0.191177 0.156412i
\(505\) 3.25867 4.87695i 0.145009 0.217021i
\(506\) −13.8717 + 0.916221i −0.616673 + 0.0407310i
\(507\) −1.26850 12.8793i −0.0563359 0.571988i
\(508\) 9.18852 + 4.51977i 0.407675 + 0.200532i
\(509\) −1.45915 4.81018i −0.0646757 0.213207i 0.918646 0.395082i \(-0.129284\pi\)
−0.983322 + 0.181874i \(0.941784\pi\)
\(510\) −7.62174 + 32.7625i −0.337496 + 1.45075i
\(511\) 13.5310 0.598576
\(512\) 20.0038 + 10.5759i 0.884050 + 0.467393i
\(513\) −8.37565 −0.369794
\(514\) −5.30767 + 22.8153i −0.234111 + 1.00634i
\(515\) 9.60272 + 31.6559i 0.423146 + 1.39493i
\(516\) 5.32649 + 2.62006i 0.234486 + 0.115342i
\(517\) 3.08092 + 31.2811i 0.135499 + 1.37574i
\(518\) −17.2384 + 1.13858i −0.757410 + 0.0500265i
\(519\) −4.80712 + 7.19437i −0.211009 + 0.315798i
\(520\) −1.95634 1.60058i −0.0857911 0.0701902i
\(521\) 21.4444 14.3287i 0.939495 0.627750i 0.0113364 0.999936i \(-0.496391\pi\)
0.928158 + 0.372185i \(0.121391\pi\)
\(522\) 7.41054 + 0.971817i 0.324350 + 0.0425353i
\(523\) 21.8379 11.6726i 0.954905 0.510408i 0.0811120 0.996705i \(-0.474153\pi\)
0.873793 + 0.486297i \(0.161653\pi\)
\(524\) −2.00806 + 12.2394i −0.0877227 + 0.534681i
\(525\) −16.9136 1.66585i −0.738172 0.0727036i
\(526\) 20.6314 + 22.0057i 0.899572 + 0.959494i
\(527\) −6.87734 + 2.84869i −0.299582 + 0.124091i
\(528\) 1.65887 12.7997i 0.0721931 0.557034i
\(529\) 12.6744 + 5.24991i 0.551061 + 0.228257i
\(530\) −22.5782 59.8973i −0.980735 2.60177i
\(531\) −3.68379 + 3.02321i −0.159863 + 0.131196i
\(532\) −11.5377 + 30.7489i −0.500222 + 1.33313i
\(533\) 0.572283 + 0.173600i 0.0247883 + 0.00751945i
\(534\) −5.59206 20.8279i −0.241992 0.901310i
\(535\) 8.19395 41.1938i 0.354256 1.78096i
\(536\) −15.1521 + 36.7373i −0.654469 + 1.58681i
\(537\) −8.52655 + 1.69604i −0.367948 + 0.0731894i
\(538\) 14.7373 43.4867i 0.635371 1.87485i
\(539\) −7.87223 6.46057i −0.339081 0.278277i
\(540\) 6.39985 3.70356i 0.275406 0.159376i
\(541\) −2.50330 + 4.68335i −0.107625 + 0.201353i −0.929969 0.367639i \(-0.880166\pi\)
0.822343 + 0.568992i \(0.192666\pi\)
\(542\) −3.48848 21.0633i −0.149843 0.904748i
\(543\) 15.2693 15.2693i 0.655266 0.655266i
\(544\) −36.3705 + 1.28238i −1.55937 + 0.0549818i
\(545\) −39.4059 39.4059i −1.68796 1.68796i
\(546\) −0.390109 + 0.544976i −0.0166951 + 0.0233228i
\(547\) −33.7608 18.0455i −1.44351 0.771570i −0.450857 0.892596i \(-0.648881\pi\)
−0.992649 + 0.121026i \(0.961381\pi\)
\(548\) 23.1516 3.07171i 0.988989 0.131217i
\(549\) 2.87929 3.50843i 0.122885 0.149736i
\(550\) −17.5134 35.4685i −0.746773 1.51238i
\(551\) −8.63559 43.4140i −0.367888 1.84950i
\(552\) 4.77644 7.17190i 0.203299 0.305256i
\(553\) 2.43474 + 0.484300i 0.103536 + 0.0205945i
\(554\) −10.8405 + 18.7982i −0.460569 + 0.798659i
\(555\) 6.68696 22.0440i 0.283846 0.935714i
\(556\) 10.3173 0.348164i 0.437553 0.0147654i
\(557\) −18.6629 22.7408i −0.790772 0.963559i 0.209125 0.977889i \(-0.432938\pi\)
−0.999897 + 0.0143302i \(0.995438\pi\)
\(558\) 1.49083 + 0.674581i 0.0631119 + 0.0285573i
\(559\) 0.274547 0.662816i 0.0116121 0.0280341i
\(560\) −4.78061 28.5970i −0.202018 1.20844i
\(561\) 7.94401 + 19.1785i 0.335397 + 0.809719i
\(562\) 0.282859 8.77567i 0.0119317 0.370179i
\(563\) −1.70965 + 17.3584i −0.0720533 + 0.731570i 0.889497 + 0.456941i \(0.151055\pi\)
−0.961550 + 0.274629i \(0.911445\pi\)
\(564\) −16.5552 10.2716i −0.697101 0.432511i
\(565\) −6.51165 12.1824i −0.273947 0.512519i
\(566\) −4.87552 + 3.74503i −0.204934 + 0.157415i
\(567\) −1.08924 1.63016i −0.0457437 0.0684603i
\(568\) −35.5891 + 10.8546i −1.49328 + 0.455449i
\(569\) 29.8709 + 19.9591i 1.25225 + 0.836728i 0.991680 0.128727i \(-0.0410891\pi\)
0.260571 + 0.965455i \(0.416089\pi\)
\(570\) −32.9392 28.8576i −1.37967 1.20871i
\(571\) −18.4144 + 1.81366i −0.770620 + 0.0758994i −0.475682 0.879617i \(-0.657799\pi\)
−0.294937 + 0.955517i \(0.595299\pi\)
\(572\) −1.55667 0.100454i −0.0650877 0.00420020i
\(573\) −13.8680 + 4.20680i −0.579342 + 0.175742i
\(574\) 3.62537 + 5.82353i 0.151320 + 0.243069i
\(575\) 26.4092i 1.10134i
\(576\) 5.67393 + 5.63973i 0.236414 + 0.234989i
\(577\) 7.10562i 0.295811i −0.989002 0.147905i \(-0.952747\pi\)
0.989002 0.147905i \(-0.0472531\pi\)
\(578\) 29.2813 18.2288i 1.21794 0.758217i
\(579\) 11.7853 3.57503i 0.489780 0.148573i
\(580\) 25.7954 + 29.3542i 1.07109 + 1.21887i
\(581\) −15.1882 + 1.49591i −0.630113 + 0.0620608i
\(582\) −9.70580 + 11.0786i −0.402318 + 0.459223i
\(583\) −32.8460 21.9470i −1.36034 0.908952i
\(584\) −19.4294 1.88398i −0.803993 0.0779595i
\(585\) −0.496494 0.743057i −0.0205275 0.0307216i
\(586\) −26.0258 33.8822i −1.07512 1.39966i
\(587\) −8.06732 15.0929i −0.332974 0.622950i 0.658600 0.752493i \(-0.271149\pi\)
−0.991574 + 0.129543i \(0.958649\pi\)
\(588\) 6.14594 1.43956i 0.253454 0.0593666i
\(589\) 0.949908 9.64458i 0.0391403 0.397398i
\(590\) −24.9036 0.802697i −1.02526 0.0330465i
\(591\) −4.83941 11.6834i −0.199067 0.480590i
\(592\) 24.9114 + 0.765255i 1.02385 + 0.0314518i
\(593\) −1.32336 + 3.19489i −0.0543441 + 0.131198i −0.948720 0.316118i \(-0.897620\pi\)
0.894376 + 0.447317i \(0.147620\pi\)
\(594\) 1.88118 4.15741i 0.0771856 0.170581i
\(595\) 29.5835 + 36.0476i 1.21280 + 1.47781i
\(596\) 9.95307 + 9.30325i 0.407694 + 0.381076i
\(597\) −2.87880 + 9.49014i −0.117822 + 0.388406i
\(598\) −0.902173 0.520264i −0.0368926 0.0212752i
\(599\) 12.0226 + 2.39144i 0.491229 + 0.0977116i 0.434489 0.900677i \(-0.356929\pi\)
0.0567408 + 0.998389i \(0.481929\pi\)
\(600\) 24.0546 + 4.74698i 0.982026 + 0.193794i
\(601\) 2.70132 + 13.5805i 0.110189 + 0.553958i 0.995957 + 0.0898299i \(0.0286323\pi\)
−0.885768 + 0.464128i \(0.846368\pi\)
\(602\) 7.37881 3.64345i 0.300738 0.148496i
\(603\) −8.91321 + 10.8608i −0.362974 + 0.442285i
\(604\) 11.9408 15.5940i 0.485864 0.634513i
\(605\) 1.91897 + 1.02571i 0.0780172 + 0.0417010i
\(606\) 1.82440 + 1.30596i 0.0741112 + 0.0530508i
\(607\) −15.9816 15.9816i −0.648673 0.648673i 0.303999 0.952672i \(-0.401678\pi\)
−0.952672 + 0.303999i \(0.901678\pi\)
\(608\) 20.8485 42.5464i 0.845516 1.72548i
\(609\) 7.32666 7.32666i 0.296891 0.296891i
\(610\) 23.4115 3.87737i 0.947902 0.156990i
\(611\) −1.11000 + 2.07666i −0.0449057 + 0.0840126i
\(612\) −12.4318 3.31768i −0.502527 0.134109i
\(613\) 17.2564 + 14.1620i 0.696980 + 0.571996i 0.914758 0.404002i \(-0.132381\pi\)
−0.217779 + 0.975998i \(0.569881\pi\)
\(614\) 36.5978 + 12.4027i 1.47697 + 0.500532i
\(615\) −8.97116 + 1.78447i −0.361752 + 0.0719570i
\(616\) −12.6714 12.6332i −0.510546 0.509005i
\(617\) −7.36540 + 37.0284i −0.296520 + 1.49071i 0.489226 + 0.872157i \(0.337279\pi\)
−0.785746 + 0.618549i \(0.787721\pi\)
\(618\) −12.2210 + 3.28122i −0.491602 + 0.131990i
\(619\) −15.3638 4.66055i −0.617522 0.187323i −0.0340018 0.999422i \(-0.510825\pi\)
−0.583520 + 0.812098i \(0.698325\pi\)
\(620\) 3.53883 + 7.78947i 0.142123 + 0.312833i
\(621\) 2.35500 1.93270i 0.0945028 0.0775564i
\(622\) −5.20788 + 1.96310i −0.208817 + 0.0787133i
\(623\) −27.6213 11.4411i −1.10662 0.458378i
\(624\) 0.636043 0.728223i 0.0254621 0.0291523i
\(625\) 6.28407 2.60295i 0.251363 0.104118i
\(626\) −19.3660 + 18.1566i −0.774022 + 0.725684i
\(627\) −26.8954 2.64897i −1.07410 0.105790i
\(628\) −2.91984 + 2.09679i −0.116514 + 0.0836709i
\(629\) −35.3522 + 18.8962i −1.40959 + 0.753439i
\(630\) 1.33289 10.1639i 0.0531035 0.404937i
\(631\) −15.0028 + 10.0246i −0.597254 + 0.399072i −0.817128 0.576456i \(-0.804435\pi\)
0.219874 + 0.975528i \(0.429435\pi\)
\(632\) −3.42865 1.03441i −0.136384 0.0411468i
\(633\) 2.54274 3.80549i 0.101065 0.151254i
\(634\) −1.19810 18.1395i −0.0475828 0.720411i
\(635\) 1.85538 + 18.8380i 0.0736286 + 0.747564i
\(636\) 23.1782 7.89399i 0.919075 0.313017i
\(637\) −0.221459 0.730053i −0.00877454 0.0289258i
\(638\) 23.4889 + 5.46437i 0.929936 + 0.216337i
\(639\) −13.1549 −0.520398
\(640\) 2.88288 + 41.7285i 0.113956 + 1.64947i
\(641\) 13.3417 0.526967 0.263483 0.964664i \(-0.415129\pi\)
0.263483 + 0.964664i \(0.415129\pi\)
\(642\) 15.6482 + 3.64035i 0.617587 + 0.143673i
\(643\) 4.90830 + 16.1805i 0.193564 + 0.638096i 0.998970 + 0.0453725i \(0.0144475\pi\)
−0.805406 + 0.592724i \(0.798053\pi\)
\(644\) −3.85128 11.3080i −0.151762 0.445600i
\(645\) 1.07555 + 10.9202i 0.0423496 + 0.429982i
\(646\) 5.02230 + 76.0384i 0.197600 + 2.99169i
\(647\) 0.654688 0.979810i 0.0257385 0.0385203i −0.818377 0.574681i \(-0.805126\pi\)
0.844116 + 0.536161i \(0.180126\pi\)
\(648\) 1.33708 + 2.49243i 0.0525255 + 0.0979120i
\(649\) −12.7853 + 8.54288i −0.501868 + 0.335337i
\(650\) 0.385310 2.93816i 0.0151131 0.115244i
\(651\) 2.00066 1.06938i 0.0784122 0.0419122i
\(652\) −11.5591 16.0964i −0.452690 0.630385i
\(653\) −44.2463 4.35788i −1.73149 0.170537i −0.817407 0.576061i \(-0.804589\pi\)
−0.914085 + 0.405524i \(0.867089\pi\)
\(654\) 15.5513 14.5801i 0.608103 0.570126i
\(655\) −21.1824 + 8.77404i −0.827666 + 0.342830i
\(656\) −4.39490 8.86687i −0.171592 0.346193i
\(657\) −6.37619 2.64111i −0.248759 0.103039i
\(658\) −25.2738 + 9.52692i −0.985275 + 0.371398i
\(659\) 8.77222 7.19918i 0.341717 0.280440i −0.447844 0.894112i \(-0.647808\pi\)
0.789561 + 0.613671i \(0.210308\pi\)
\(660\) 21.7222 9.86858i 0.845534 0.384134i
\(661\) 2.53055 + 0.767634i 0.0984270 + 0.0298575i 0.339114 0.940745i \(-0.389873\pi\)
−0.240687 + 0.970603i \(0.577373\pi\)
\(662\) −34.6828 + 9.31195i −1.34798 + 0.361919i
\(663\) −0.303385 + 1.52522i −0.0117825 + 0.0592345i
\(664\) 22.0173 0.0332815i 0.854437 0.00129157i
\(665\) −59.5441 + 11.8441i −2.30902 + 0.459293i
\(666\) 8.34545 + 2.82821i 0.323379 + 0.109591i
\(667\) 12.4459 + 10.2141i 0.481909 + 0.395492i
\(668\) −7.17946 + 26.9025i −0.277782 + 1.04089i
\(669\) −6.82679 + 12.7720i −0.263939 + 0.493795i
\(670\) −72.4731 + 12.0029i −2.79988 + 0.463711i
\(671\) 10.3554 10.3554i 0.399767 0.399767i
\(672\) 10.9921 1.47532i 0.424031 0.0569118i
\(673\) 9.72376 + 9.72376i 0.374823 + 0.374823i 0.869230 0.494407i \(-0.164615\pi\)
−0.494407 + 0.869230i \(0.664615\pi\)
\(674\) 23.5177 + 16.8346i 0.905869 + 0.648446i
\(675\) 7.64504 + 4.08636i 0.294258 + 0.157284i
\(676\) 20.5503 + 15.7360i 0.790398 + 0.605229i
\(677\) 5.24213 6.38755i 0.201471 0.245494i −0.662467 0.749091i \(-0.730491\pi\)
0.863938 + 0.503597i \(0.167991\pi\)
\(678\) 4.73784 2.33941i 0.181955 0.0898445i
\(679\) 3.98357 + 20.0267i 0.152875 + 0.768556i
\(680\) −37.4603 55.8803i −1.43654 2.14291i
\(681\) −6.39867 1.27278i −0.245198 0.0487729i
\(682\) 4.57392 + 2.63768i 0.175144 + 0.101002i
\(683\) −14.2301 + 46.9105i −0.544501 + 1.79498i 0.0597853 + 0.998211i \(0.480958\pi\)
−0.604286 + 0.796767i \(0.706542\pi\)
\(684\) 11.4387 12.2377i 0.437371 0.467921i
\(685\) 27.3881 + 33.3725i 1.04645 + 1.27510i
\(686\) 11.6088 25.6555i 0.443225 0.979530i
\(687\) −0.515299 + 1.24404i −0.0196599 + 0.0474632i
\(688\) −11.1026 + 4.20430i −0.423284 + 0.160288i
\(689\) −1.13249 2.73406i −0.0431443 0.104160i
\(690\) 15.9205 + 0.513153i 0.606083 + 0.0195354i
\(691\) 2.58055 26.2008i 0.0981688 0.996725i −0.812326 0.583204i \(-0.801799\pi\)
0.910495 0.413521i \(-0.135701\pi\)
\(692\) −3.94658 16.8492i −0.150026 0.640509i
\(693\) −2.98213 5.57917i −0.113282 0.211935i
\(694\) 26.0927 + 33.9692i 0.990464 + 1.28945i
\(695\) 10.6020 + 15.8670i 0.402155 + 0.601868i
\(696\) −11.5406 + 9.50035i −0.437445 + 0.360110i
\(697\) 13.2344 + 8.84293i 0.501288 + 0.334950i
\(698\) 21.9444 25.0482i 0.830606 0.948088i
\(699\) −6.93172 + 0.682714i −0.262182 + 0.0258226i
\(700\) 25.5332 22.4375i 0.965063 0.848059i
\(701\) 43.3881 13.1616i 1.63875 0.497108i 0.669420 0.742885i \(-0.266543\pi\)
0.969327 + 0.245776i \(0.0790429\pi\)
\(702\) 0.290204 0.180663i 0.0109530 0.00681869i
\(703\) 52.1869i 1.96826i
\(704\) 16.4361 + 19.9045i 0.619460 + 0.750177i
\(705\) 36.0151i 1.35641i
\(706\) 23.3972 + 37.5835i 0.880564 + 1.41447i
\(707\) 2.97652 0.902916i 0.111943 0.0339577i
\(708\) 0.613774 9.51124i 0.0230671 0.357454i
\(709\) −21.0103 + 2.06933i −0.789058 + 0.0777154i −0.484515 0.874783i \(-0.661004\pi\)
−0.304543 + 0.952499i \(0.598504\pi\)
\(710\) −51.7345 45.3239i −1.94156 1.70098i
\(711\) −1.05279 0.703451i −0.0394827 0.0263815i
\(712\) 38.0688 + 20.2743i 1.42669 + 0.759811i
\(713\) 1.95841 + 2.93097i 0.0733432 + 0.109766i
\(714\) −14.1463 + 10.8661i −0.529411 + 0.406655i
\(715\) −1.35931 2.54309i −0.0508352 0.0951060i
\(716\) 9.16673 14.7745i 0.342577 0.552148i
\(717\) −0.826632 + 8.39293i −0.0308711 + 0.313440i
\(718\) 0.0797362 2.47381i 0.00297573 0.0923216i
\(719\) 1.93205 + 4.66439i 0.0720534 + 0.173952i 0.955803 0.294008i \(-0.0949891\pi\)
−0.883750 + 0.467960i \(0.844989\pi\)
\(720\) −3.32907 + 14.4089i −0.124067 + 0.536986i
\(721\) −6.71323 + 16.2072i −0.250014 + 0.603586i
\(722\) −65.9062 29.8217i −2.45278 1.10985i
\(723\) 9.55111 + 11.6381i 0.355209 + 0.432824i
\(724\) 1.45657 + 43.1634i 0.0541329 + 1.60415i
\(725\) −13.2988 + 43.8401i −0.493904 + 1.62818i
\(726\) −0.415797 + 0.721021i −0.0154317 + 0.0267596i
\(727\) 44.9623 + 8.94356i 1.66756 + 0.331698i 0.936514 0.350630i \(-0.114032\pi\)
0.731046 + 0.682328i \(0.239032\pi\)
\(728\) −0.263491 1.31427i −0.00976561 0.0487101i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) −15.9762 32.3554i −0.591305 1.19753i
\(731\) 12.1134 14.7603i 0.448032 0.545929i
\(732\) 1.19390 + 8.99845i 0.0441276 + 0.332592i
\(733\) −6.26977 3.35126i −0.231579 0.123782i 0.351526 0.936178i \(-0.385663\pi\)
−0.583106 + 0.812396i \(0.698163\pi\)
\(734\) 1.09536 1.53020i 0.0404305 0.0564808i
\(735\) 8.25095 + 8.25095i 0.304341 + 0.304341i
\(736\) 3.95565 + 16.7736i 0.145807 + 0.618285i
\(737\) −32.0565 + 32.0565i −1.18082 + 1.18082i
\(738\) −0.571689 3.45185i −0.0210442 0.127064i
\(739\) 1.61953 3.02993i 0.0595753 0.111458i −0.850371 0.526183i \(-0.823623\pi\)
0.909946 + 0.414726i \(0.136123\pi\)
\(740\) 23.0761 + 39.8761i 0.848293 + 1.46587i
\(741\) −1.56501 1.28437i −0.0574921 0.0471825i
\(742\) 10.8951 32.1493i 0.399973 1.18024i
\(743\) 23.4966 4.67376i 0.862005 0.171463i 0.255759 0.966741i \(-0.417675\pi\)
0.606246 + 0.795277i \(0.292675\pi\)
\(744\) −3.02168 + 1.25698i −0.110780 + 0.0460830i
\(745\) −4.91330 + 24.7008i −0.180009 + 0.904969i
\(746\) 7.54822 + 28.1137i 0.276360 + 1.02932i
\(747\) 7.44911 + 2.25966i 0.272549 + 0.0826767i
\(748\) −38.8711 14.5853i −1.42127 0.533293i
\(749\) 17.2173 14.1299i 0.629106 0.516294i
\(750\) 6.76568 + 17.9485i 0.247048 + 0.655388i
\(751\) 42.8389 + 17.7444i 1.56321 + 0.647504i 0.985644 0.168839i \(-0.0540017\pi\)
0.577568 + 0.816342i \(0.304002\pi\)
\(752\) 37.6175 10.1609i 1.37177 0.370530i
\(753\) −13.5558 + 5.61501i −0.494002 + 0.204622i
\(754\) 1.23565 + 1.31796i 0.0449998 + 0.0479973i
\(755\) 36.1321 + 3.55870i 1.31498 + 0.129514i
\(756\) 3.86942 + 0.634839i 0.140729 + 0.0230889i
\(757\) 1.81648 0.970927i 0.0660210 0.0352889i −0.438056 0.898948i \(-0.644333\pi\)
0.504077 + 0.863659i \(0.331833\pi\)
\(758\) 27.6139 + 3.62129i 1.00298 + 0.131531i
\(759\) 8.17348 5.46135i 0.296679 0.198234i
\(760\) 87.1494 8.71650i 3.16124 0.316181i
\(761\) 3.54202 5.30100i 0.128398 0.192161i −0.761701 0.647929i \(-0.775635\pi\)
0.890099 + 0.455768i \(0.150635\pi\)
\(762\) −7.22502 + 0.477209i −0.261735 + 0.0172875i
\(763\) −2.89667 29.4104i −0.104867 1.06473i
\(764\) 12.7931 26.0078i 0.462837 0.940930i
\(765\) −6.90448 22.7610i −0.249632 0.822926i
\(766\) 6.49584 27.9227i 0.234704 1.00889i
\(767\) −1.15192 −0.0415935
\(768\) −15.9892 + 0.587961i −0.576960 + 0.0212162i
\(769\) 18.9013 0.681600 0.340800 0.940136i \(-0.389302\pi\)
0.340800 + 0.940136i \(0.389302\pi\)
\(770\) 7.49461 32.2160i 0.270087 1.16098i
\(771\) −4.80818 15.8504i −0.173162 0.570840i
\(772\) −10.8718 + 22.1020i −0.391286 + 0.795469i
\(773\) 2.84391 + 28.8747i 0.102288 + 1.03855i 0.900112 + 0.435659i \(0.143485\pi\)
−0.797824