Properties

Label 384.2.v.a.13.10
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 13.10
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.870630 + 1.11445i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-0.484007 - 1.94055i) q^{4} +(-0.328555 - 3.33588i) q^{5} +(-1.31919 - 0.509633i) q^{6} +(-1.53196 + 2.29274i) q^{7} +(2.58404 + 1.15010i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-0.870630 + 1.11445i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-0.484007 - 1.94055i) q^{4} +(-0.328555 - 3.33588i) q^{5} +(-1.31919 - 0.509633i) q^{6} +(-1.53196 + 2.29274i) q^{7} +(2.58404 + 1.15010i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(4.00372 + 2.53816i) q^{10} +(-2.66601 + 1.42501i) q^{11} +(1.71649 - 1.02648i) q^{12} +(-6.16389 - 0.607091i) q^{13} +(-1.22138 - 3.70343i) q^{14} +(3.09686 - 1.28276i) q^{15} +(-3.53147 + 1.87848i) q^{16} +(1.52921 + 0.633419i) q^{17} +(0.104746 - 1.41033i) q^{18} +(-6.31247 + 5.18051i) q^{19} +(-6.31441 + 2.25216i) q^{20} +(-2.63872 - 0.800448i) q^{21} +(0.733000 - 4.21179i) q^{22} +(-0.448825 + 2.25640i) q^{23} +(-0.350469 + 2.80663i) q^{24} +(-6.11620 + 1.21659i) q^{25} +(6.04304 - 6.34081i) q^{26} +(-0.773010 - 0.634393i) q^{27} +(5.19066 + 1.86315i) q^{28} +(1.20106 - 2.24703i) q^{29} +(-1.26664 + 4.56811i) q^{30} +(0.352623 - 0.352623i) q^{31} +(0.981133 - 5.57112i) q^{32} +(-2.13755 - 2.13755i) q^{33} +(-2.03729 + 1.15276i) q^{34} +(8.15164 + 4.35714i) q^{35} +(1.48055 + 1.34461i) q^{36} +(1.37662 - 1.67741i) q^{37} +(-0.277605 - 11.5453i) q^{38} +(-1.20833 - 6.07471i) q^{39} +(2.98759 - 8.99791i) q^{40} +(0.719462 + 0.143110i) q^{41} +(3.18941 - 2.24384i) q^{42} +(0.498187 - 1.64230i) q^{43} +(4.05567 + 4.48381i) q^{44} +(2.12650 + 2.59114i) q^{45} +(-2.12389 - 2.46468i) q^{46} +(5.00956 - 12.0941i) q^{47} +(-2.82273 - 2.83412i) q^{48} +(-0.230978 - 0.557631i) q^{49} +(3.96912 - 7.87540i) q^{50} +(-0.162238 + 1.64723i) q^{51} +(1.80528 + 12.2552i) q^{52} +(1.75774 + 3.28850i) q^{53} +(1.38001 - 0.309161i) q^{54} +(5.62959 + 8.42528i) q^{55} +(-6.59553 + 4.16263i) q^{56} +(-6.78985 - 4.53684i) q^{57} +(1.45853 + 3.29486i) q^{58} +(-3.13374 + 0.308647i) q^{59} +(-3.98816 - 5.38875i) q^{60} +(-9.72455 + 2.94991i) q^{61} +(0.0859772 + 0.699985i) q^{62} -2.75746i q^{63} +(5.35454 + 5.94381i) q^{64} +20.7614i q^{65} +(4.24321 - 0.521182i) q^{66} +(1.59726 - 0.484525i) q^{67} +(0.489034 - 3.27408i) q^{68} +(-2.28952 + 0.225498i) q^{69} +(-11.9529 + 5.29115i) q^{70} +(-11.9303 - 7.97160i) q^{71} +(-2.78751 + 0.479344i) q^{72} +(-2.78270 - 4.16461i) q^{73} +(0.670872 + 2.99458i) q^{74} +(-2.93964 - 5.49968i) q^{75} +(13.1083 + 9.74227i) q^{76} +(0.817038 - 8.29553i) q^{77} +(7.82198 + 3.94219i) q^{78} +(5.23339 + 12.6345i) q^{79} +(7.42666 + 11.1634i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-0.785875 + 0.677210i) q^{82} +(-0.835860 - 1.01850i) q^{83} +(-0.276150 + 5.50800i) q^{84} +(1.61058 - 5.30936i) q^{85} +(1.39653 + 1.98504i) q^{86} +(2.49893 + 0.497068i) q^{87} +(-8.52798 + 0.616113i) q^{88} +(3.31735 + 16.6774i) q^{89} +(-4.73910 + 0.113951i) q^{90} +(10.8348 - 13.2022i) q^{91} +(4.59589 - 0.221143i) q^{92} +(0.439800 + 0.235078i) q^{93} +(9.11687 + 16.1124i) q^{94} +(19.3555 + 19.3555i) q^{95} +(5.61604 - 0.678325i) q^{96} +(3.58469 - 3.58469i) q^{97} +(0.822550 + 0.228076i) q^{98} +(1.42501 - 2.66601i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.870630 + 1.11445i −0.615628 + 0.788037i
\(3\) 0.290285 + 0.956940i 0.167596 + 0.552490i
\(4\) −0.484007 1.94055i −0.242003 0.970275i
\(5\) −0.328555 3.33588i −0.146934 1.49185i −0.732246 0.681041i \(-0.761528\pi\)
0.585311 0.810809i \(-0.300972\pi\)
\(6\) −1.31919 0.509633i −0.538559 0.208057i
\(7\) −1.53196 + 2.29274i −0.579027 + 0.866575i −0.999164 0.0408855i \(-0.986982\pi\)
0.420137 + 0.907461i \(0.361982\pi\)
\(8\) 2.58404 + 1.15010i 0.913597 + 0.406622i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) 4.00372 + 2.53816i 1.26609 + 0.802635i
\(11\) −2.66601 + 1.42501i −0.803831 + 0.429657i −0.821515 0.570187i \(-0.806871\pi\)
0.0176837 + 0.999844i \(0.494371\pi\)
\(12\) 1.71649 1.02648i 0.495508 0.296319i
\(13\) −6.16389 0.607091i −1.70956 0.168377i −0.804582 0.593842i \(-0.797610\pi\)
−0.904975 + 0.425465i \(0.860110\pi\)
\(14\) −1.22138 3.70343i −0.326428 0.989783i
\(15\) 3.09686 1.28276i 0.799606 0.331208i
\(16\) −3.53147 + 1.87848i −0.882869 + 0.469620i
\(17\) 1.52921 + 0.633419i 0.370887 + 0.153627i 0.560339 0.828264i \(-0.310671\pi\)
−0.189451 + 0.981890i \(0.560671\pi\)
\(18\) 0.104746 1.41033i 0.0246889 0.332418i
\(19\) −6.31247 + 5.18051i −1.44818 + 1.18849i −0.501993 + 0.864872i \(0.667400\pi\)
−0.946187 + 0.323619i \(0.895100\pi\)
\(20\) −6.31441 + 2.25216i −1.41195 + 0.503599i
\(21\) −2.63872 0.800448i −0.575817 0.174672i
\(22\) 0.733000 4.21179i 0.156276 0.897957i
\(23\) −0.448825 + 2.25640i −0.0935865 + 0.470491i 0.905362 + 0.424641i \(0.139600\pi\)
−0.998948 + 0.0458502i \(0.985400\pi\)
\(24\) −0.350469 + 2.80663i −0.0715392 + 0.572901i
\(25\) −6.11620 + 1.21659i −1.22324 + 0.243317i
\(26\) 6.04304 6.34081i 1.18514 1.24354i
\(27\) −0.773010 0.634393i −0.148766 0.122089i
\(28\) 5.19066 + 1.86315i 0.980943 + 0.352102i
\(29\) 1.20106 2.24703i 0.223032 0.417264i −0.745372 0.666648i \(-0.767728\pi\)
0.968405 + 0.249385i \(0.0802283\pi\)
\(30\) −1.26664 + 4.56811i −0.231256 + 0.834019i
\(31\) 0.352623 0.352623i 0.0633329 0.0633329i −0.674731 0.738064i \(-0.735740\pi\)
0.738064 + 0.674731i \(0.235740\pi\)
\(32\) 0.981133 5.57112i 0.173441 0.984844i
\(33\) −2.13755 2.13755i −0.372100 0.372100i
\(34\) −2.03729 + 1.15276i −0.349392 + 0.197696i
\(35\) 8.15164 + 4.35714i 1.37788 + 0.736491i
\(36\) 1.48055 + 1.34461i 0.246758 + 0.224102i
\(37\) 1.37662 1.67741i 0.226314 0.275765i −0.647457 0.762102i \(-0.724167\pi\)
0.873771 + 0.486337i \(0.161667\pi\)
\(38\) −0.277605 11.5453i −0.0450334 1.87289i
\(39\) −1.20833 6.07471i −0.193488 0.972732i
\(40\) 2.98759 8.99791i 0.472379 1.42270i
\(41\) 0.719462 + 0.143110i 0.112361 + 0.0223500i 0.250951 0.968000i \(-0.419257\pi\)
−0.138589 + 0.990350i \(0.544257\pi\)
\(42\) 3.18941 2.24384i 0.492137 0.346231i
\(43\) 0.498187 1.64230i 0.0759729 0.250449i −0.910725 0.413013i \(-0.864476\pi\)
0.986698 + 0.162564i \(0.0519764\pi\)
\(44\) 4.05567 + 4.48381i 0.611415 + 0.675959i
\(45\) 2.12650 + 2.59114i 0.316999 + 0.386265i
\(46\) −2.12389 2.46468i −0.313150 0.363397i
\(47\) 5.00956 12.0941i 0.730719 1.76411i 0.0905304 0.995894i \(-0.471144\pi\)
0.640189 0.768218i \(-0.278856\pi\)
\(48\) −2.82273 2.83412i −0.407425 0.409070i
\(49\) −0.230978 0.557631i −0.0329969 0.0796616i
\(50\) 3.96912 7.87540i 0.561318 1.11375i
\(51\) −0.162238 + 1.64723i −0.0227179 + 0.230659i
\(52\) 1.80528 + 12.2552i 0.250347 + 1.69949i
\(53\) 1.75774 + 3.28850i 0.241444 + 0.451711i 0.973233 0.229821i \(-0.0738141\pi\)
−0.731788 + 0.681532i \(0.761314\pi\)
\(54\) 1.38001 0.309161i 0.187795 0.0420715i
\(55\) 5.62959 + 8.42528i 0.759094 + 1.13606i
\(56\) −6.59553 + 4.16263i −0.881365 + 0.556255i
\(57\) −6.78985 4.53684i −0.899338 0.600919i
\(58\) 1.45853 + 3.29486i 0.191514 + 0.432637i
\(59\) −3.13374 + 0.308647i −0.407979 + 0.0401824i −0.299925 0.953963i \(-0.596962\pi\)
−0.108053 + 0.994145i \(0.534462\pi\)
\(60\) −3.98816 5.38875i −0.514870 0.695685i
\(61\) −9.72455 + 2.94991i −1.24510 + 0.377697i −0.843008 0.537901i \(-0.819217\pi\)
−0.402093 + 0.915599i \(0.631717\pi\)
\(62\) 0.0859772 + 0.699985i 0.0109191 + 0.0888982i
\(63\) 2.75746i 0.347407i
\(64\) 5.35454 + 5.94381i 0.669318 + 0.742976i
\(65\) 20.7614i 2.57514i
\(66\) 4.24321 0.521182i 0.522304 0.0641531i
\(67\) 1.59726 0.484525i 0.195137 0.0591941i −0.191203 0.981550i \(-0.561239\pi\)
0.386340 + 0.922356i \(0.373739\pi\)
\(68\) 0.489034 3.27408i 0.0593041 0.397041i
\(69\) −2.28952 + 0.225498i −0.275626 + 0.0271468i
\(70\) −11.9529 + 5.29115i −1.42864 + 0.632414i
\(71\) −11.9303 7.97160i −1.41587 0.946055i −0.999317 0.0369447i \(-0.988237\pi\)
−0.416555 0.909111i \(-0.636763\pi\)
\(72\) −2.78751 + 0.479344i −0.328512 + 0.0564912i
\(73\) −2.78270 4.16461i −0.325691 0.487431i 0.632104 0.774884i \(-0.282192\pi\)
−0.957795 + 0.287453i \(0.907192\pi\)
\(74\) 0.670872 + 2.99458i 0.0779872 + 0.348113i
\(75\) −2.93964 5.49968i −0.339440 0.635048i
\(76\) 13.1083 + 9.74227i 1.50363 + 1.11751i
\(77\) 0.817038 8.29553i 0.0931102 0.945363i
\(78\) 7.82198 + 3.94219i 0.885665 + 0.446365i
\(79\) 5.23339 + 12.6345i 0.588802 + 1.42149i 0.884649 + 0.466258i \(0.154398\pi\)
−0.295847 + 0.955235i \(0.595602\pi\)
\(80\) 7.42666 + 11.1634i 0.830326 + 1.24810i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −0.785875 + 0.677210i −0.0867853 + 0.0747854i
\(83\) −0.835860 1.01850i −0.0917475 0.111795i 0.725113 0.688630i \(-0.241787\pi\)
−0.816861 + 0.576835i \(0.804287\pi\)
\(84\) −0.276150 + 5.50800i −0.0301304 + 0.600972i
\(85\) 1.61058 5.30936i 0.174692 0.575881i
\(86\) 1.39653 + 1.98504i 0.150592 + 0.214053i
\(87\) 2.49893 + 0.497068i 0.267913 + 0.0532913i
\(88\) −8.52798 + 0.616113i −0.909085 + 0.0656779i
\(89\) 3.31735 + 16.6774i 0.351638 + 1.76781i 0.600855 + 0.799358i \(0.294827\pi\)
−0.249217 + 0.968448i \(0.580173\pi\)
\(90\) −4.73910 + 0.113951i −0.499545 + 0.0120115i
\(91\) 10.8348 13.2022i 1.13579 1.38396i
\(92\) 4.59589 0.221143i 0.479154 0.0230558i
\(93\) 0.439800 + 0.235078i 0.0456052 + 0.0243765i
\(94\) 9.11687 + 16.1124i 0.940333 + 1.66187i
\(95\) 19.3555 + 19.3555i 1.98584 + 1.98584i
\(96\) 5.61604 0.678325i 0.573184 0.0692313i
\(97\) 3.58469 3.58469i 0.363971 0.363971i −0.501302 0.865272i \(-0.667145\pi\)
0.865272 + 0.501302i \(0.167145\pi\)
\(98\) 0.822550 + 0.228076i 0.0830901 + 0.0230392i
\(99\) 1.42501 2.66601i 0.143219 0.267944i
\(100\) 5.32113 + 11.2800i 0.532113 + 1.12800i
\(101\) −12.7141 10.4342i −1.26510 1.03824i −0.997199 0.0747913i \(-0.976171\pi\)
−0.267898 0.963447i \(-0.586329\pi\)
\(102\) −1.69451 1.61494i −0.167782 0.159903i
\(103\) 7.58160 1.50807i 0.747037 0.148595i 0.193130 0.981173i \(-0.438136\pi\)
0.553907 + 0.832578i \(0.313136\pi\)
\(104\) −15.2295 8.65784i −1.49338 0.848971i
\(105\) −1.80323 + 9.06544i −0.175977 + 0.884697i
\(106\) −5.19522 0.904151i −0.504605 0.0878189i
\(107\) 1.38489 + 0.420102i 0.133882 + 0.0406128i 0.356515 0.934290i \(-0.383965\pi\)
−0.222632 + 0.974902i \(0.571465\pi\)
\(108\) −0.856930 + 1.80712i −0.0824581 + 0.173890i
\(109\) 11.1272 9.13186i 1.06579 0.874673i 0.0733405 0.997307i \(-0.476634\pi\)
0.992452 + 0.122634i \(0.0391340\pi\)
\(110\) −14.2909 1.06139i −1.36258 0.101200i
\(111\) 2.00479 + 0.830413i 0.190287 + 0.0788193i
\(112\) 1.10321 10.9745i 0.104244 1.03699i
\(113\) −16.3483 + 6.77167i −1.53791 + 0.637025i −0.981081 0.193599i \(-0.937984\pi\)
−0.556834 + 0.830624i \(0.687984\pi\)
\(114\) 10.9675 3.61706i 1.02720 0.338769i
\(115\) 7.67453 + 0.755875i 0.715653 + 0.0704857i
\(116\) −4.94181 1.24315i −0.458835 0.115423i
\(117\) 5.46237 2.91970i 0.504996 0.269926i
\(118\) 2.38436 3.76112i 0.219498 0.346240i
\(119\) −3.79495 + 2.53571i −0.347883 + 0.232448i
\(120\) 9.47772 + 0.246988i 0.865193 + 0.0225468i
\(121\) −1.03433 + 1.54799i −0.0940303 + 0.140726i
\(122\) 5.17895 13.4058i 0.468880 1.21371i
\(123\) 0.0719012 + 0.730025i 0.00648311 + 0.0658242i
\(124\) −0.854955 0.513611i −0.0767772 0.0461236i
\(125\) 1.20270 + 3.96475i 0.107572 + 0.354618i
\(126\) 3.07305 + 2.40073i 0.273769 + 0.213874i
\(127\) 3.80678 0.337797 0.168898 0.985633i \(-0.445979\pi\)
0.168898 + 0.985633i \(0.445979\pi\)
\(128\) −11.2859 + 0.792522i −0.997544 + 0.0700497i
\(129\) 1.71620 0.151103
\(130\) −23.1376 18.0755i −2.02931 1.58533i
\(131\) 1.94292 + 6.40495i 0.169754 + 0.559603i 0.999998 + 0.00220278i \(0.000701168\pi\)
−0.830244 + 0.557400i \(0.811799\pi\)
\(132\) −3.11344 + 5.18262i −0.270990 + 0.451089i
\(133\) −2.20712 22.4092i −0.191381 1.94313i
\(134\) −0.850647 + 2.20192i −0.0734847 + 0.190217i
\(135\) −1.86228 + 2.78710i −0.160280 + 0.239875i
\(136\) 3.22304 + 3.39552i 0.276374 + 0.291164i
\(137\) 9.14412 6.10991i 0.781235 0.522005i −0.0998271 0.995005i \(-0.531829\pi\)
0.881062 + 0.473000i \(0.156829\pi\)
\(138\) 1.74202 2.74789i 0.148291 0.233916i
\(139\) −14.3526 + 7.67162i −1.21737 + 0.650699i −0.949806 0.312841i \(-0.898719\pi\)
−0.267566 + 0.963540i \(0.586219\pi\)
\(140\) 4.50981 17.9276i 0.381148 1.51516i
\(141\) 13.0276 + 1.28310i 1.09712 + 0.108057i
\(142\) 19.2709 6.35548i 1.61718 0.533340i
\(143\) 17.2981 7.16510i 1.44654 0.599176i
\(144\) 1.89269 3.52388i 0.157724 0.293657i
\(145\) −7.89045 3.26833i −0.655266 0.271420i
\(146\) 7.06396 + 0.524645i 0.584618 + 0.0434199i
\(147\) 0.466570 0.382904i 0.0384821 0.0315814i
\(148\) −3.92139 1.85952i −0.322337 0.152851i
\(149\) 10.5467 + 3.19930i 0.864017 + 0.262097i 0.691029 0.722827i \(-0.257158\pi\)
0.172988 + 0.984924i \(0.444658\pi\)
\(150\) 8.68847 + 1.51210i 0.709410 + 0.123462i
\(151\) −3.77518 + 18.9791i −0.307220 + 1.54450i 0.451016 + 0.892516i \(0.351062\pi\)
−0.758235 + 0.651981i \(0.773938\pi\)
\(152\) −22.2698 + 6.12669i −1.80632 + 0.496940i
\(153\) −1.62340 + 0.322914i −0.131244 + 0.0261061i
\(154\) 8.53363 + 8.13289i 0.687660 + 0.655367i
\(155\) −1.29216 1.06045i −0.103789 0.0851774i
\(156\) −11.2034 + 5.28503i −0.896993 + 0.423141i
\(157\) −7.55801 + 14.1401i −0.603195 + 1.12850i 0.376199 + 0.926539i \(0.377231\pi\)
−0.979394 + 0.201960i \(0.935269\pi\)
\(158\) −18.6369 5.16763i −1.48267 0.411114i
\(159\) −2.63666 + 2.63666i −0.209101 + 0.209101i
\(160\) −18.9069 1.44252i −1.49472 0.114041i
\(161\) −4.48575 4.48575i −0.353527 0.353527i
\(162\) 0.696444 + 1.23084i 0.0547178 + 0.0967039i
\(163\) −15.7443 8.41548i −1.23319 0.659151i −0.279554 0.960130i \(-0.590187\pi\)
−0.953631 + 0.300979i \(0.902687\pi\)
\(164\) −0.0705125 1.46542i −0.00550610 0.114430i
\(165\) −6.42830 + 7.83291i −0.500443 + 0.609791i
\(166\) 1.86279 0.0447906i 0.144581 0.00347643i
\(167\) 0.758243 + 3.81194i 0.0586746 + 0.294977i 0.998970 0.0453834i \(-0.0144509\pi\)
−0.940295 + 0.340360i \(0.889451\pi\)
\(168\) −5.89798 5.10318i −0.455039 0.393719i
\(169\) 24.8748 + 4.94791i 1.91345 + 0.380608i
\(170\) 4.51481 + 6.41740i 0.346270 + 0.492192i
\(171\) 2.37049 7.81446i 0.181276 0.597587i
\(172\) −3.42810 0.171872i −0.261390 0.0131051i
\(173\) 6.69504 + 8.15792i 0.509014 + 0.620236i 0.962583 0.270986i \(-0.0873495\pi\)
−0.453569 + 0.891221i \(0.649850\pi\)
\(174\) −2.72960 + 2.35217i −0.206930 + 0.178318i
\(175\) 6.58046 15.8866i 0.497436 1.20092i
\(176\) 6.73808 10.0404i 0.507902 0.756826i
\(177\) −1.20503 2.90921i −0.0905759 0.218670i
\(178\) −21.4744 10.8229i −1.60957 0.811207i
\(179\) 1.84366 18.7190i 0.137801 1.39912i −0.638918 0.769275i \(-0.720618\pi\)
0.776719 0.629847i \(-0.216882\pi\)
\(180\) 3.99901 5.38071i 0.298068 0.401054i
\(181\) 1.53534 + 2.87241i 0.114121 + 0.213505i 0.932497 0.361178i \(-0.117625\pi\)
−0.818376 + 0.574683i \(0.805125\pi\)
\(182\) 5.28014 + 23.5690i 0.391390 + 1.74705i
\(183\) −5.64578 8.44950i −0.417348 0.624605i
\(184\) −3.75486 + 5.31443i −0.276812 + 0.391785i
\(185\) −6.04793 4.04110i −0.444653 0.297108i
\(186\) −0.644886 + 0.285470i −0.0472854 + 0.0209317i
\(187\) −4.97951 + 0.490439i −0.364138 + 0.0358644i
\(188\) −25.8940 3.86765i −1.88851 0.282078i
\(189\) 2.63872 0.800448i 0.191939 0.0582240i
\(190\) −38.4223 + 4.71931i −2.78745 + 0.342375i
\(191\) 9.47725i 0.685750i 0.939381 + 0.342875i \(0.111401\pi\)
−0.939381 + 0.342875i \(0.888599\pi\)
\(192\) −4.13353 + 6.84937i −0.298312 + 0.494311i
\(193\) 18.2856i 1.31623i −0.752919 0.658113i \(-0.771355\pi\)
0.752919 0.658113i \(-0.228645\pi\)
\(194\) 0.874028 + 7.11591i 0.0627515 + 0.510893i
\(195\) −19.8675 + 6.02673i −1.42274 + 0.431583i
\(196\) −0.970317 + 0.718123i −0.0693083 + 0.0512945i
\(197\) 19.3145 1.90231i 1.37610 0.135534i 0.617233 0.786780i \(-0.288253\pi\)
0.758867 + 0.651246i \(0.225753\pi\)
\(198\) 1.73048 + 3.90921i 0.122980 + 0.277816i
\(199\) −3.82304 2.55448i −0.271008 0.181082i 0.412639 0.910895i \(-0.364607\pi\)
−0.683647 + 0.729813i \(0.739607\pi\)
\(200\) −17.2037 3.89052i −1.21649 0.275101i
\(201\) 0.927323 + 1.38784i 0.0654083 + 0.0978904i
\(202\) 22.6976 5.08492i 1.59700 0.357774i
\(203\) 3.31189 + 6.19610i 0.232449 + 0.434881i
\(204\) 3.27506 0.482440i 0.229300 0.0337776i
\(205\) 0.241014 2.44706i 0.0168332 0.170910i
\(206\) −4.92009 + 9.76230i −0.342799 + 0.680172i
\(207\) −0.880402 2.12548i −0.0611922 0.147731i
\(208\) 22.9080 9.43482i 1.58839 0.654187i
\(209\) 9.44681 22.8066i 0.653450 1.57757i
\(210\) −8.53306 9.90226i −0.588837 0.683321i
\(211\) 12.9802 + 15.8164i 0.893595 + 1.08885i 0.995566 + 0.0940619i \(0.0299851\pi\)
−0.101971 + 0.994787i \(0.532515\pi\)
\(212\) 5.53075 5.00265i 0.379854 0.343583i
\(213\) 4.16515 13.7307i 0.285392 0.940810i
\(214\) −1.67391 + 1.17764i −0.114426 + 0.0805018i
\(215\) −5.64220 1.12230i −0.384795 0.0765405i
\(216\) −1.26788 2.52834i −0.0862680 0.172032i
\(217\) 0.268269 + 1.34868i 0.0182113 + 0.0915543i
\(218\) 0.489343 + 20.3512i 0.0331425 + 1.37836i
\(219\) 3.17751 3.87180i 0.214716 0.261632i
\(220\) 13.6249 15.0024i 0.918592 1.01146i
\(221\) −9.04133 4.83269i −0.608186 0.325082i
\(222\) −2.67089 + 1.51126i −0.179258 + 0.101429i
\(223\) −8.42798 8.42798i −0.564379 0.564379i 0.366169 0.930548i \(-0.380669\pi\)
−0.930548 + 0.366169i \(0.880669\pi\)
\(224\) 11.2701 + 10.7842i 0.753014 + 0.720552i
\(225\) 4.40953 4.40953i 0.293969 0.293969i
\(226\) 6.68658 24.1150i 0.444785 1.60410i
\(227\) 4.11408 7.69691i 0.273061 0.510862i −0.707590 0.706623i \(-0.750218\pi\)
0.980652 + 0.195761i \(0.0627178\pi\)
\(228\) −5.51762 + 15.3719i −0.365414 + 1.01803i
\(229\) −14.6935 12.0587i −0.970974 0.796858i 0.00818180 0.999967i \(-0.497396\pi\)
−0.979156 + 0.203108i \(0.934896\pi\)
\(230\) −7.52406 + 7.89480i −0.496122 + 0.520568i
\(231\) 8.17550 1.62621i 0.537908 0.106997i
\(232\) 5.68791 4.42509i 0.373430 0.290521i
\(233\) −3.42318 + 17.2095i −0.224260 + 1.12743i 0.690469 + 0.723362i \(0.257404\pi\)
−0.914729 + 0.404069i \(0.867596\pi\)
\(234\) −1.50184 + 8.62953i −0.0981784 + 0.564130i
\(235\) −41.9905 12.7377i −2.73916 0.830914i
\(236\) 2.11570 + 5.93180i 0.137720 + 0.386127i
\(237\) −10.5713 + 8.67564i −0.686680 + 0.563544i
\(238\) 0.478077 6.43696i 0.0309891 0.417246i
\(239\) −12.4141 5.14210i −0.803003 0.332615i −0.0568446 0.998383i \(-0.518104\pi\)
−0.746159 + 0.665768i \(0.768104\pi\)
\(240\) −8.52684 + 10.3474i −0.550405 + 0.667924i
\(241\) −17.9906 + 7.45196i −1.15888 + 0.480023i −0.877501 0.479574i \(-0.840791\pi\)
−0.281377 + 0.959597i \(0.590791\pi\)
\(242\) −0.824638 2.50044i −0.0530098 0.160734i
\(243\) 0.995185 + 0.0980171i 0.0638411 + 0.00628780i
\(244\) 10.4312 + 17.4432i 0.667789 + 1.11669i
\(245\) −1.78430 + 0.953728i −0.113995 + 0.0609314i
\(246\) −0.876177 0.555451i −0.0558630 0.0354143i
\(247\) 42.0544 28.0999i 2.67586 1.78795i
\(248\) 1.31674 0.505641i 0.0836133 0.0321082i
\(249\) 0.732004 1.09552i 0.0463889 0.0694259i
\(250\) −5.46563 2.11149i −0.345677 0.133542i
\(251\) 0.421089 + 4.27539i 0.0265789 + 0.269860i 0.999285 + 0.0378179i \(0.0120407\pi\)
−0.972706 + 0.232042i \(0.925459\pi\)
\(252\) −5.35099 + 1.33463i −0.337081 + 0.0840737i
\(253\) −2.01882 6.65515i −0.126922 0.418406i
\(254\) −3.31429 + 4.24247i −0.207957 + 0.266196i
\(255\) 5.54827 0.347446
\(256\) 8.94263 13.2676i 0.558914 0.829225i
\(257\) −22.1092 −1.37913 −0.689567 0.724222i \(-0.742199\pi\)
−0.689567 + 0.724222i \(0.742199\pi\)
\(258\) −1.49418 + 1.91263i −0.0930234 + 0.119075i
\(259\) 1.73695 + 5.72596i 0.107929 + 0.355794i
\(260\) 40.2886 10.0487i 2.49860 0.623193i
\(261\) 0.249736 + 2.53562i 0.0154583 + 0.156951i
\(262\) −8.82958 3.41105i −0.545493 0.210735i
\(263\) −4.75646 + 7.11855i −0.293296 + 0.438949i −0.948629 0.316392i \(-0.897529\pi\)
0.655332 + 0.755341i \(0.272529\pi\)
\(264\) −3.06512 7.98192i −0.188645 0.491253i
\(265\) 10.3925 6.94407i 0.638408 0.426571i
\(266\) 26.8956 + 17.0504i 1.64907 + 1.04543i
\(267\) −14.9963 + 8.01571i −0.917761 + 0.490554i
\(268\) −1.71333 2.86506i −0.104658 0.175011i
\(269\) −5.69777 0.561182i −0.347399 0.0342158i −0.0771871 0.997017i \(-0.524594\pi\)
−0.270212 + 0.962801i \(0.587094\pi\)
\(270\) −1.48473 4.50196i −0.0903579 0.273980i
\(271\) −17.6558 + 7.31328i −1.07251 + 0.444250i −0.847877 0.530192i \(-0.822120\pi\)
−0.224637 + 0.974442i \(0.572120\pi\)
\(272\) −6.59022 + 0.635684i −0.399591 + 0.0385440i
\(273\) 15.7789 + 6.53582i 0.954980 + 0.395566i
\(274\) −1.15195 + 15.5102i −0.0695918 + 0.937003i
\(275\) 14.5722 11.9591i 0.878735 0.721159i
\(276\) 1.54574 + 4.33380i 0.0930424 + 0.260864i
\(277\) 26.0505 + 7.90234i 1.56522 + 0.474806i 0.949661 0.313281i \(-0.101428\pi\)
0.615564 + 0.788087i \(0.288928\pi\)
\(278\) 3.94615 22.6744i 0.236674 1.35992i
\(279\) −0.0972885 + 0.489102i −0.00582451 + 0.0292818i
\(280\) 16.0530 + 20.6342i 0.959352 + 1.23313i
\(281\) 20.2298 4.02395i 1.20681 0.240049i 0.449604 0.893228i \(-0.351565\pi\)
0.757203 + 0.653179i \(0.226565\pi\)
\(282\) −12.7721 + 13.4015i −0.760570 + 0.798047i
\(283\) −2.42569 1.99071i −0.144192 0.118335i 0.559532 0.828809i \(-0.310981\pi\)
−0.703724 + 0.710473i \(0.748481\pi\)
\(284\) −9.69493 + 27.0098i −0.575288 + 1.60273i
\(285\) −12.9035 + 24.1407i −0.764336 + 1.42997i
\(286\) −7.07507 + 25.5161i −0.418358 + 1.50880i
\(287\) −1.43030 + 1.43030i −0.0844281 + 0.0844281i
\(288\) 2.27937 + 5.17731i 0.134313 + 0.305076i
\(289\) −10.0836 10.0836i −0.593150 0.593150i
\(290\) 10.5121 5.94802i 0.617289 0.349280i
\(291\) 4.47092 + 2.38976i 0.262090 + 0.140090i
\(292\) −6.73479 + 7.41568i −0.394124 + 0.433970i
\(293\) 4.50124 5.48478i 0.262966 0.320424i −0.624743 0.780831i \(-0.714796\pi\)
0.887708 + 0.460406i \(0.152296\pi\)
\(294\) 0.0205184 + 0.853338i 0.00119666 + 0.0497677i
\(295\) 2.05922 + 10.3524i 0.119892 + 0.602738i
\(296\) 5.48642 2.75126i 0.318892 0.159914i
\(297\) 2.96487 + 0.589749i 0.172039 + 0.0342207i
\(298\) −12.7477 + 8.96835i −0.738455 + 0.519523i
\(299\) 4.13635 13.6357i 0.239211 0.788574i
\(300\) −9.24960 + 8.36640i −0.534026 + 0.483034i
\(301\) 3.00218 + 3.65816i 0.173043 + 0.210853i
\(302\) −17.8645 20.7310i −1.02799 1.19294i
\(303\) 6.29418 15.1955i 0.361591 0.872958i
\(304\) 12.5609 30.1527i 0.720414 1.72938i
\(305\) 13.0356 + 31.4707i 0.746416 + 1.80201i
\(306\) 1.05351 2.09034i 0.0602250 0.119497i
\(307\) −2.35757 + 23.9368i −0.134554 + 1.36615i 0.656466 + 0.754355i \(0.272050\pi\)
−0.791020 + 0.611790i \(0.790450\pi\)
\(308\) −16.4933 + 2.42959i −0.939796 + 0.138439i
\(309\) 3.64396 + 6.81737i 0.207298 + 0.387826i
\(310\) 2.30682 0.516793i 0.131018 0.0293519i
\(311\) −5.30914 7.94569i −0.301054 0.450559i 0.649842 0.760069i \(-0.274835\pi\)
−0.950896 + 0.309510i \(0.899835\pi\)
\(312\) 3.86413 17.0870i 0.218763 0.967361i
\(313\) 27.2116 + 18.1822i 1.53809 + 1.02772i 0.980247 + 0.197775i \(0.0633715\pi\)
0.557845 + 0.829945i \(0.311628\pi\)
\(314\) −9.17817 20.7338i −0.517954 1.17008i
\(315\) −9.19854 + 0.905977i −0.518279 + 0.0510460i
\(316\) 21.9849 16.2708i 1.23675 0.915306i
\(317\) −11.0760 + 3.35985i −0.622088 + 0.188708i −0.585566 0.810625i \(-0.699128\pi\)
−0.0365215 + 0.999333i \(0.511628\pi\)
\(318\) −0.642875 5.23398i −0.0360506 0.293507i
\(319\) 7.70214i 0.431237i
\(320\) 18.0686 19.8150i 1.01006 1.10769i
\(321\) 1.44721i 0.0807752i
\(322\) 8.90459 1.09373i 0.496233 0.0609510i
\(323\) −12.9345 + 3.92364i −0.719696 + 0.218317i
\(324\) −1.97806 0.295453i −0.109892 0.0164140i
\(325\) 38.4382 3.78583i 2.13217 0.210000i
\(326\) 23.0861 10.2194i 1.27862 0.566003i
\(327\) 11.9687 + 7.99723i 0.661871 + 0.442248i
\(328\) 1.69453 + 1.19726i 0.0935648 + 0.0661074i
\(329\) 20.0543 + 30.0134i 1.10563 + 1.65469i
\(330\) −3.13273 13.9836i −0.172451 0.769772i
\(331\) 2.47669 + 4.63355i 0.136131 + 0.254683i 0.940745 0.339115i \(-0.110128\pi\)
−0.804614 + 0.593798i \(0.797628\pi\)
\(332\) −1.57189 + 2.11499i −0.0862684 + 0.116075i
\(333\) −0.212695 + 2.15952i −0.0116556 + 0.118341i
\(334\) −4.90838 2.47377i −0.268574 0.135358i
\(335\) −2.14110 5.16908i −0.116981 0.282417i
\(336\) 10.8222 2.13003i 0.590400 0.116202i
\(337\) −1.87411 + 4.52450i −0.102089 + 0.246465i −0.966669 0.256031i \(-0.917585\pi\)
0.864579 + 0.502497i \(0.167585\pi\)
\(338\) −27.1710 + 23.4140i −1.47791 + 1.27355i
\(339\) −11.2257 13.6786i −0.609698 0.742919i
\(340\) −11.0826 0.555640i −0.601039 0.0301338i
\(341\) −0.437604 + 1.44259i −0.0236976 + 0.0781204i
\(342\) 6.64502 + 9.44530i 0.359322 + 0.510743i
\(343\) −17.2990 3.44098i −0.934056 0.185795i
\(344\) 3.17615 3.67082i 0.171246 0.197917i
\(345\) 1.50447 + 7.56348i 0.0809979 + 0.407204i
\(346\) −14.9205 + 0.358762i −0.802132 + 0.0192872i
\(347\) −1.59879 + 1.94813i −0.0858276 + 0.104581i −0.814154 0.580650i \(-0.802799\pi\)
0.728326 + 0.685231i \(0.240299\pi\)
\(348\) −0.244913 5.08988i −0.0131287 0.272846i
\(349\) −7.09070 3.79006i −0.379557 0.202877i 0.270575 0.962699i \(-0.412786\pi\)
−0.650132 + 0.759822i \(0.725286\pi\)
\(350\) 11.9757 + 21.1650i 0.640130 + 1.13132i
\(351\) 4.37962 + 4.37962i 0.233767 + 0.233767i
\(352\) 5.32320 + 16.2508i 0.283727 + 0.866169i
\(353\) 1.18988 1.18988i 0.0633309 0.0633309i −0.674732 0.738063i \(-0.735741\pi\)
0.738063 + 0.674732i \(0.235741\pi\)
\(354\) 4.29131 + 1.18989i 0.228081 + 0.0632421i
\(355\) −22.6725 + 42.4173i −1.20333 + 2.25128i
\(356\) 30.7578 14.5095i 1.63016 0.769001i
\(357\) −3.52814 2.89547i −0.186729 0.153244i
\(358\) 19.2563 + 18.3520i 1.01772 + 0.969932i
\(359\) −26.5730 + 5.28570i −1.40247 + 0.278968i −0.837632 0.546234i \(-0.816061\pi\)
−0.564837 + 0.825203i \(0.691061\pi\)
\(360\) 2.51488 + 9.14131i 0.132546 + 0.481789i
\(361\) 9.30288 46.7687i 0.489625 2.46151i
\(362\) −4.53788 0.789750i −0.238506 0.0415083i
\(363\) −1.78159 0.540438i −0.0935090 0.0283656i
\(364\) −30.8636 14.6354i −1.61769 0.767105i
\(365\) −12.9784 + 10.6511i −0.679318 + 0.557502i
\(366\) 14.3319 + 1.06444i 0.749143 + 0.0556393i
\(367\) 7.51186 + 3.11151i 0.392116 + 0.162420i 0.570025 0.821627i \(-0.306933\pi\)
−0.177909 + 0.984047i \(0.556933\pi\)
\(368\) −2.65358 8.81152i −0.138327 0.459332i
\(369\) −0.677719 + 0.280720i −0.0352806 + 0.0146137i
\(370\) 9.76912 3.22183i 0.507872 0.167495i
\(371\) −10.2325 1.00781i −0.531244 0.0523230i
\(372\) 0.243315 0.967234i 0.0126153 0.0501487i
\(373\) −17.9348 + 9.58633i −0.928627 + 0.496361i −0.865089 0.501618i \(-0.832738\pi\)
−0.0635377 + 0.997979i \(0.520238\pi\)
\(374\) 3.78874 5.97641i 0.195911 0.309033i
\(375\) −3.44491 + 2.30181i −0.177894 + 0.118865i
\(376\) 26.8544 25.4903i 1.38491 1.31456i
\(377\) −8.76739 + 13.1213i −0.451544 + 0.675783i
\(378\) −1.40529 + 3.63762i −0.0722804 + 0.187099i
\(379\) 2.41575 + 24.5276i 0.124089 + 1.25990i 0.832472 + 0.554068i \(0.186925\pi\)
−0.708383 + 0.705829i \(0.750575\pi\)
\(380\) 28.1922 46.9286i 1.44623 2.40739i
\(381\) 1.10505 + 3.64286i 0.0566134 + 0.186629i
\(382\) −10.5619 8.25118i −0.540396 0.422167i
\(383\) −22.1078 −1.12965 −0.564827 0.825209i \(-0.691057\pi\)
−0.564827 + 0.825209i \(0.691057\pi\)
\(384\) −4.03452 10.5699i −0.205886 0.539393i
\(385\) −27.9413 −1.42402
\(386\) 20.3784 + 15.9200i 1.03723 + 0.810306i
\(387\) 0.498187 + 1.64230i 0.0253243 + 0.0834830i
\(388\) −8.69130 5.22127i −0.441234 0.265070i
\(389\) −3.28821 33.3858i −0.166719 1.69272i −0.606870 0.794801i \(-0.707575\pi\)
0.440151 0.897924i \(-0.354925\pi\)
\(390\) 10.5807 27.3884i 0.535775 1.38687i
\(391\) −2.11559 + 3.16621i −0.106990 + 0.160122i
\(392\) 0.0444735 1.70659i 0.00224625 0.0861958i
\(393\) −5.56516 + 3.71852i −0.280725 + 0.187574i
\(394\) −14.6957 + 23.1813i −0.740360 + 1.16786i
\(395\) 40.4277 21.6091i 2.03414 1.08727i
\(396\) −5.86324 1.47494i −0.294639 0.0741185i
\(397\) −15.1334 1.49051i −0.759524 0.0748066i −0.289162 0.957280i \(-0.593377\pi\)
−0.470362 + 0.882474i \(0.655877\pi\)
\(398\) 6.17530 2.03660i 0.309540 0.102085i
\(399\) 20.8036 8.61713i 1.04148 0.431396i
\(400\) 19.3139 15.7855i 0.965693 0.789275i
\(401\) 9.26204 + 3.83646i 0.462524 + 0.191584i 0.601762 0.798675i \(-0.294465\pi\)
−0.139238 + 0.990259i \(0.544465\pi\)
\(402\) −2.35403 0.174835i −0.117408 0.00872000i
\(403\) −2.38760 + 1.95946i −0.118935 + 0.0976075i
\(404\) −14.0943 + 29.7225i −0.701219 + 1.47875i
\(405\) −3.20768 0.973039i −0.159391 0.0483507i
\(406\) −9.78869 1.70358i −0.485804 0.0845470i
\(407\) −1.27974 + 6.43368i −0.0634343 + 0.318906i
\(408\) −2.31371 + 4.06993i −0.114546 + 0.201491i
\(409\) 19.2872 3.83646i 0.953690 0.189701i 0.306364 0.951914i \(-0.400887\pi\)
0.647326 + 0.762214i \(0.275887\pi\)
\(410\) 2.51729 + 2.39908i 0.124320 + 0.118482i
\(411\) 8.50122 + 6.97677i 0.419334 + 0.344139i
\(412\) −6.59604 13.9826i −0.324963 0.688871i
\(413\) 4.09313 7.65770i 0.201410 0.376811i
\(414\) 3.13525 + 0.869340i 0.154089 + 0.0427257i
\(415\) −3.12296 + 3.12296i −0.153300 + 0.153300i
\(416\) −9.42977 + 33.7442i −0.462333 + 1.65444i
\(417\) −11.5076 11.5076i −0.563531 0.563531i
\(418\) 17.1922 + 30.3841i 0.840898 + 1.48614i
\(419\) 1.65659 + 0.885466i 0.0809297 + 0.0432578i 0.511365 0.859364i \(-0.329140\pi\)
−0.430435 + 0.902621i \(0.641640\pi\)
\(420\) 18.4647 0.888479i 0.900987 0.0433533i
\(421\) −6.42546 + 7.82945i −0.313158 + 0.381584i −0.905674 0.423975i \(-0.860635\pi\)
0.592516 + 0.805558i \(0.298135\pi\)
\(422\) −28.9276 + 0.695562i −1.40818 + 0.0338594i
\(423\) 2.55385 + 12.8391i 0.124172 + 0.624257i
\(424\) 0.759972 + 10.5192i 0.0369075 + 0.510858i
\(425\) −10.1235 2.01370i −0.491064 0.0976787i
\(426\) 11.6759 + 16.5962i 0.565697 + 0.804088i
\(427\) 8.13425 26.8150i 0.393644 1.29767i
\(428\) 0.144933 2.89078i 0.00700559 0.139731i
\(429\) 11.8779 + 14.4733i 0.573473 + 0.698779i
\(430\) 6.16303 5.31085i 0.297207 0.256112i
\(431\) −1.82271 + 4.40041i −0.0877969 + 0.211960i −0.961679 0.274177i \(-0.911595\pi\)
0.873882 + 0.486137i \(0.161595\pi\)
\(432\) 3.92156 + 0.788260i 0.188676 + 0.0379252i
\(433\) −2.23660 5.39962i −0.107484 0.259489i 0.860982 0.508636i \(-0.169850\pi\)
−0.968466 + 0.249146i \(0.919850\pi\)
\(434\) −1.73660 0.875227i −0.0833595 0.0420123i
\(435\) 0.837121 8.49943i 0.0401369 0.407517i
\(436\) −23.1065 17.1730i −1.10660 0.822438i
\(437\) −8.85609 16.5686i −0.423644 0.792583i
\(438\) 1.54851 + 6.91209i 0.0739905 + 0.330272i
\(439\) 6.49893 + 9.72634i 0.310177 + 0.464213i 0.953505 0.301378i \(-0.0974467\pi\)
−0.643328 + 0.765591i \(0.722447\pi\)
\(440\) 4.85719 + 28.2458i 0.231557 + 1.34657i
\(441\) 0.501855 + 0.335329i 0.0238978 + 0.0159680i
\(442\) 13.2575 5.86864i 0.630593 0.279143i
\(443\) −11.8616 + 1.16827i −0.563563 + 0.0555061i −0.375788 0.926706i \(-0.622628\pi\)
−0.187776 + 0.982212i \(0.560128\pi\)
\(444\) 0.641124 4.29233i 0.0304264 0.203705i
\(445\) 54.5440 16.5457i 2.58563 0.784343i
\(446\) 16.7302 2.05493i 0.792199 0.0973036i
\(447\) 11.0212i 0.521287i
\(448\) −21.8306 + 3.17090i −1.03140 + 0.149811i
\(449\) 18.1664i 0.857324i 0.903465 + 0.428662i \(0.141015\pi\)
−0.903465 + 0.428662i \(0.858985\pi\)
\(450\) 1.07514 + 8.75328i 0.0506826 + 0.412634i
\(451\) −2.12202 + 0.643709i −0.0999223 + 0.0303111i
\(452\) 21.0534 + 28.4471i 0.990270 + 1.33804i
\(453\) −19.2577 + 1.89672i −0.904807 + 0.0891158i
\(454\) 4.99599 + 11.2861i 0.234473 + 0.529683i
\(455\) −47.6007 31.8057i −2.23155 1.49108i
\(456\) −12.3275 19.5324i −0.577286 0.914688i
\(457\) −13.3204 19.9354i −0.623104 0.932541i −0.999980 0.00627730i \(-0.998002\pi\)
0.376876 0.926264i \(-0.376998\pi\)
\(458\) 26.2314 5.87659i 1.22571 0.274595i
\(459\) −0.780257 1.45976i −0.0364193 0.0681357i
\(460\) −2.24771 15.2587i −0.104800 0.711438i
\(461\) −1.85153 + 18.7989i −0.0862343 + 0.875551i 0.850608 + 0.525800i \(0.176234\pi\)
−0.936843 + 0.349751i \(0.886266\pi\)
\(462\) −5.30551 + 10.5270i −0.246834 + 0.489762i
\(463\) −12.0608 29.1174i −0.560515 1.35320i −0.909355 0.416020i \(-0.863425\pi\)
0.348841 0.937182i \(-0.386575\pi\)
\(464\) −0.0205227 + 10.1915i −0.000952742 + 0.473130i
\(465\) 0.639693 1.54436i 0.0296650 0.0716177i
\(466\) −16.1988 18.7981i −0.750396 0.870804i
\(467\) 19.4433 + 23.6917i 0.899727 + 1.09632i 0.994901 + 0.100860i \(0.0321594\pi\)
−0.0951735 + 0.995461i \(0.530341\pi\)
\(468\) −8.30965 9.18686i −0.384114 0.424663i
\(469\) −1.33606 + 4.40439i −0.0616934 + 0.203376i
\(470\) 50.7537 35.7066i 2.34109 1.64702i
\(471\) −15.7252 3.12793i −0.724577 0.144127i
\(472\) −8.45270 2.80656i −0.389067 0.129182i
\(473\) 1.01213 + 5.08831i 0.0465377 + 0.233961i
\(474\) −0.464896 19.3345i −0.0213534 0.888062i
\(475\) 32.3058 39.3647i 1.48229 1.80618i
\(476\) 6.75745 + 6.13700i 0.309727 + 0.281289i
\(477\) −3.28850 1.75774i −0.150570 0.0804815i
\(478\) 16.5387 9.35808i 0.756464 0.428029i
\(479\) −12.1606 12.1606i −0.555633 0.555633i 0.372428 0.928061i \(-0.378525\pi\)
−0.928061 + 0.372428i \(0.878525\pi\)
\(480\) −4.10799 18.5115i −0.187503 0.844932i
\(481\) −9.50366 + 9.50366i −0.433329 + 0.433329i
\(482\) 7.35833 26.5376i 0.335163 1.20875i
\(483\) 2.99045 5.59475i 0.136070 0.254570i
\(484\) 3.50458 + 1.25794i 0.159299 + 0.0571791i
\(485\) −13.1359 10.7803i −0.596469 0.489509i
\(486\) −0.975673 + 1.02375i −0.0442574 + 0.0464382i
\(487\) −19.0198 + 3.78328i −0.861871 + 0.171437i −0.606186 0.795323i \(-0.707301\pi\)
−0.255686 + 0.966760i \(0.582301\pi\)
\(488\) −28.5213 3.56151i −1.29110 0.161222i
\(489\) 3.48280 17.5092i 0.157497 0.791793i
\(490\) 0.490581 2.81886i 0.0221622 0.127343i
\(491\) −14.4202 4.37433i −0.650777 0.197411i −0.0524004 0.998626i \(-0.516687\pi\)
−0.598376 + 0.801215i \(0.704187\pi\)
\(492\) 1.38185 0.492865i 0.0622986 0.0222201i
\(493\) 3.25999 2.67541i 0.146823 0.120494i
\(494\) −5.29789 + 71.3323i −0.238363 + 3.20939i
\(495\) −9.36166 3.87773i −0.420776 0.174291i
\(496\) −0.582884 + 1.90767i −0.0261723 + 0.0856571i
\(497\) 36.5537 15.1410i 1.63966 0.679168i
\(498\) 0.583602 + 1.76958i 0.0261518 + 0.0792967i
\(499\) 9.73265 + 0.958583i 0.435693 + 0.0429121i 0.313487 0.949593i \(-0.398503\pi\)
0.122207 + 0.992505i \(0.461003\pi\)
\(500\) 7.11169 4.25286i 0.318045 0.190194i
\(501\) −3.42770 + 1.83214i −0.153138 + 0.0818540i
\(502\) −5.13132 3.25300i −0.229022 0.145188i
\(503\) −24.7380 + 16.5294i −1.10301 + 0.737009i −0.967273 0.253736i \(-0.918341\pi\)
−0.135738 + 0.990745i \(0.543341\pi\)
\(504\) 3.17135 7.12539i 0.141263 0.317390i
\(505\) −30.6298 + 45.8408i −1.36301 + 2.03989i
\(506\) 9.17449 + 3.54430i 0.407856 + 0.157563i
\(507\) 2.48592 + 25.2400i 0.110404 + 1.12095i
\(508\) −1.84251 7.38724i −0.0817480 0.327756i
\(509\) −11.8641 39.1106i −0.525865 1.73355i −0.668444 0.743763i \(-0.733039\pi\)
0.142578 0.989784i \(-0.454461\pi\)
\(510\) −4.83049 + 6.18328i −0.213898 + 0.273800i
\(511\) 13.8114 0.610979
\(512\) 7.00039 + 21.5173i 0.309376 + 0.950940i
\(513\) 8.16609 0.360542
\(514\) 19.2489 24.6396i 0.849033 1.08681i
\(515\) −7.52172 24.7958i −0.331447 1.09263i
\(516\) −0.830654 3.33038i −0.0365675 0.146612i
\(517\) 3.87876 + 39.3817i 0.170588 + 1.73201i
\(518\) −7.89355 3.04944i −0.346822 0.133985i
\(519\) −5.86318 + 8.77487i −0.257365 + 0.385174i
\(520\) −23.8777 + 53.6484i −1.04711 + 2.35264i
\(521\) 16.9859 11.3496i 0.744165 0.497235i −0.124755 0.992188i \(-0.539815\pi\)
0.868920 + 0.494952i \(0.164815\pi\)
\(522\) −3.04325 1.92926i −0.133199 0.0844416i
\(523\) 6.59925 3.52737i 0.288565 0.154241i −0.320763 0.947160i \(-0.603939\pi\)
0.609328 + 0.792918i \(0.291439\pi\)
\(524\) 11.4887 6.87038i 0.501888 0.300134i
\(525\) 17.1128 + 1.68546i 0.746862 + 0.0735595i
\(526\) −3.79216 11.4985i −0.165346 0.501357i
\(527\) 0.762592 0.315876i 0.0332190 0.0137598i
\(528\) 11.5641 + 3.53336i 0.503261 + 0.153770i
\(529\) 16.3593 + 6.77626i 0.711276 + 0.294620i
\(530\) −1.30922 + 17.6277i −0.0568689 + 0.765698i
\(531\) 2.43414 1.99764i 0.105633 0.0866904i
\(532\) −42.4180 + 15.1292i −1.83905 + 0.655935i
\(533\) −4.34781 1.31889i −0.188324 0.0571276i
\(534\) 4.12314 23.6914i 0.178426 1.02523i
\(535\) 0.946395 4.75785i 0.0409162 0.205700i
\(536\) 4.68465 + 0.584980i 0.202346 + 0.0252673i
\(537\) 18.4481 3.66956i 0.796096 0.158353i
\(538\) 5.58606 5.86131i 0.240832 0.252699i
\(539\) 1.41042 + 1.15750i 0.0607511 + 0.0498571i
\(540\) 6.30987 + 2.26488i 0.271533 + 0.0974647i
\(541\) −19.0736 + 35.6842i −0.820037 + 1.53418i 0.0251326 + 0.999684i \(0.491999\pi\)
−0.845170 + 0.534498i \(0.820501\pi\)
\(542\) 7.22139 26.0437i 0.310185 1.11867i
\(543\) −2.30304 + 2.30304i −0.0988330 + 0.0988330i
\(544\) 5.02921 7.89793i 0.215626 0.338621i
\(545\) −34.1186 34.1186i −1.46148 1.46148i
\(546\) −21.0214 + 11.8945i −0.899633 + 0.509038i
\(547\) −0.529867 0.283220i −0.0226555 0.0121096i 0.460030 0.887903i \(-0.347839\pi\)
−0.482686 + 0.875794i \(0.660339\pi\)
\(548\) −16.2824 14.7874i −0.695550 0.631686i
\(549\) 6.44679 7.85543i 0.275142 0.335262i
\(550\) 0.640843 + 26.6519i 0.0273256 + 1.13644i
\(551\) 4.05910 + 20.4065i 0.172923 + 0.869345i
\(552\) −6.17557 2.05048i −0.262850 0.0872744i
\(553\) −36.9850 7.35678i −1.57276 0.312842i
\(554\) −31.4872 + 22.1521i −1.33776 + 0.941151i
\(555\) 2.11147 6.96058i 0.0896269 0.295460i
\(556\) 21.8339 + 24.1388i 0.925965 + 1.02371i
\(557\) 19.0640 + 23.2296i 0.807769 + 0.984269i 0.999996 + 0.00291890i \(0.000929115\pi\)
−0.192227 + 0.981351i \(0.561571\pi\)
\(558\) −0.460379 0.534250i −0.0194894 0.0226166i
\(559\) −4.06780 + 9.82054i −0.172050 + 0.415365i
\(560\) −36.9721 0.0744508i −1.56236 0.00314612i
\(561\) −1.91480 4.62272i −0.0808427 0.195172i
\(562\) −13.1281 + 26.0485i −0.553777 + 1.09879i
\(563\) 3.21199 32.6119i 0.135369 1.37443i −0.652128 0.758109i \(-0.726123\pi\)
0.787497 0.616318i \(-0.211377\pi\)
\(564\) −3.81550 25.9017i −0.160662 1.09066i
\(565\) 27.9608 + 52.3109i 1.17632 + 2.20074i
\(566\) 4.33043 0.970140i 0.182021 0.0407780i
\(567\) 1.53196 + 2.29274i 0.0643363 + 0.0962861i
\(568\) −21.6604 34.3200i −0.908849 1.44004i
\(569\) −2.00649 1.34069i −0.0841163 0.0562047i 0.512801 0.858508i \(-0.328608\pi\)
−0.596917 + 0.802303i \(0.703608\pi\)
\(570\) −15.6695 35.3979i −0.656324 1.48266i
\(571\) 13.7718 1.35641i 0.576333 0.0567638i 0.194348 0.980933i \(-0.437741\pi\)
0.381984 + 0.924169i \(0.375241\pi\)
\(572\) −22.2766 30.0999i −0.931433 1.25854i
\(573\) −9.06916 + 2.75110i −0.378870 + 0.114929i
\(574\) −0.348739 2.83927i −0.0145561 0.118509i
\(575\) 14.3466i 0.598295i
\(576\) −7.75434 1.96727i −0.323098 0.0819697i
\(577\) 17.6961i 0.736697i 0.929688 + 0.368349i \(0.120077\pi\)
−0.929688 + 0.368349i \(0.879923\pi\)
\(578\) 20.0167 2.45859i 0.832584 0.102264i
\(579\) 17.4982 5.30803i 0.727201 0.220594i
\(580\) −2.52333 + 16.8937i −0.104776 + 0.701473i
\(581\) 3.61566 0.356111i 0.150003 0.0147740i
\(582\) −6.55579 + 2.90203i −0.271746 + 0.120293i
\(583\) −9.37231 6.26238i −0.388161 0.259361i
\(584\) −2.40091 13.9619i −0.0993502 0.577748i
\(585\) −11.5344 17.2625i −0.476891 0.713717i
\(586\) 2.19361 + 9.79164i 0.0906171 + 0.404489i
\(587\) 3.29025 + 6.15563i 0.135803 + 0.254070i 0.940626 0.339446i \(-0.110239\pi\)
−0.804822 + 0.593516i \(0.797739\pi\)
\(588\) −0.968869 0.720075i −0.0399555 0.0296954i
\(589\) −0.399155 + 4.05269i −0.0164469 + 0.166988i
\(590\) −13.3300 6.71819i −0.548789 0.276584i
\(591\) 7.42710 + 17.9306i 0.305510 + 0.737566i
\(592\) −1.71050 + 8.50968i −0.0703012 + 0.349746i
\(593\) 11.9144 28.7640i 0.489267 1.18120i −0.465823 0.884878i \(-0.654242\pi\)
0.955090 0.296317i \(-0.0957585\pi\)
\(594\) −3.23855 + 2.79075i −0.132879 + 0.114506i
\(595\) 9.70566 + 11.8264i 0.397893 + 0.484834i
\(596\) 1.10374 22.0148i 0.0452109 0.901762i
\(597\) 1.33471 4.39995i 0.0546261 0.180078i
\(598\) 11.5951 + 16.4814i 0.474160 + 0.673976i
\(599\) 19.6942 + 3.91742i 0.804683 + 0.160061i 0.580261 0.814431i \(-0.302951\pi\)
0.224422 + 0.974492i \(0.427951\pi\)
\(600\) −1.27097 17.5923i −0.0518873 0.718202i
\(601\) −7.14508 35.9207i −0.291454 1.46524i −0.797808 0.602912i \(-0.794007\pi\)
0.506354 0.862326i \(-0.330993\pi\)
\(602\) −6.69063 + 0.160876i −0.272690 + 0.00655680i
\(603\) −1.05889 + 1.29026i −0.0431213 + 0.0525435i
\(604\) 38.6571 1.86009i 1.57294 0.0756859i
\(605\) 5.50374 + 2.94181i 0.223759 + 0.119602i
\(606\) 11.4547 + 20.2442i 0.465317 + 0.822365i
\(607\) −1.85030 1.85030i −0.0751015 0.0751015i 0.668558 0.743660i \(-0.266912\pi\)
−0.743660 + 0.668558i \(0.766912\pi\)
\(608\) 22.6679 + 40.2503i 0.919304 + 1.63237i
\(609\) −4.96791 + 4.96791i −0.201310 + 0.201310i
\(610\) −46.4218 12.8718i −1.87956 0.521164i
\(611\) −38.2206 + 71.5057i −1.54624 + 2.89281i
\(612\) 1.41237 + 2.99399i 0.0570916 + 0.121025i
\(613\) 11.3769 + 9.33678i 0.459508 + 0.377109i 0.835479 0.549523i \(-0.185190\pi\)
−0.375970 + 0.926632i \(0.622690\pi\)
\(614\) −24.6239 23.4675i −0.993738 0.947071i
\(615\) 2.41165 0.479707i 0.0972471 0.0193437i
\(616\) 11.6519 20.4963i 0.469470 0.825820i
\(617\) 4.26882 21.4608i 0.171856 0.863980i −0.794597 0.607137i \(-0.792318\pi\)
0.966453 0.256843i \(-0.0826822\pi\)
\(618\) −10.7702 1.87439i −0.433240 0.0753989i
\(619\) 25.6478 + 7.78018i 1.03087 + 0.312712i 0.760014 0.649907i \(-0.225192\pi\)
0.270859 + 0.962619i \(0.412692\pi\)
\(620\) −1.43244 + 3.02077i −0.0575283 + 0.121317i
\(621\) 1.77839 1.45949i 0.0713643 0.0585672i
\(622\) 13.4774 + 1.00097i 0.540394 + 0.0401354i
\(623\) −43.3191 17.9434i −1.73555 0.718886i
\(624\) 15.6784 + 19.1828i 0.627639 + 0.767928i
\(625\) −15.9759 + 6.61742i −0.639035 + 0.264697i
\(626\) −43.9545 + 14.4961i −1.75677 + 0.579379i
\(627\) 24.5668 + 2.41962i 0.981105 + 0.0966304i
\(628\) 31.0976 + 7.82283i 1.24093 + 0.312165i
\(629\) 3.16764 1.69314i 0.126302 0.0675098i
\(630\) 6.99886 11.0401i 0.278841 0.439848i
\(631\) 5.00595 3.34487i 0.199284 0.133157i −0.451925 0.892056i \(-0.649262\pi\)
0.651208 + 0.758899i \(0.274262\pi\)
\(632\) −1.00766 + 38.6670i −0.0400825 + 1.53809i
\(633\) −11.3674 + 17.0126i −0.451815 + 0.676189i
\(634\) 5.89866 15.2688i 0.234266 0.606402i
\(635\) −1.25074 12.6989i −0.0496339 0.503942i
\(636\) 6.39273 + 3.84041i 0.253488 + 0.152282i
\(637\) 1.08519 + 3.57740i 0.0429969 + 0.141742i
\(638\) −8.58367 6.70571i −0.339831 0.265482i
\(639\) 14.3485 0.567618
\(640\) 6.35180 + 37.3880i 0.251077 + 1.47789i
\(641\) −8.69663 −0.343496 −0.171748 0.985141i \(-0.554942\pi\)
−0.171748 + 0.985141i \(0.554942\pi\)
\(642\) −1.61284 1.25998i −0.0636538 0.0497275i
\(643\) 3.79019 + 12.4946i 0.149470 + 0.492738i 0.999417 0.0341304i \(-0.0108661\pi\)
−0.849947 + 0.526868i \(0.823366\pi\)
\(644\) −6.53370 + 10.8760i −0.257464 + 0.428573i
\(645\) −0.563867 5.72504i −0.0222022 0.225423i
\(646\) 6.88847 17.8309i 0.271023 0.701549i
\(647\) 7.85341 11.7535i 0.308750 0.462076i −0.644351 0.764730i \(-0.722872\pi\)
0.953101 + 0.302653i \(0.0978725\pi\)
\(648\) 2.05142 1.94722i 0.0805875 0.0764940i
\(649\) 7.91476 5.28847i 0.310681 0.207591i
\(650\) −29.2463 + 46.1335i −1.14713 + 1.80951i
\(651\) −1.21273 + 0.648218i −0.0475307 + 0.0254057i
\(652\) −8.71034 + 34.6257i −0.341123 + 1.35605i
\(653\) 19.9405 + 1.96397i 0.780331 + 0.0768559i 0.480336 0.877085i \(-0.340515\pi\)
0.299995 + 0.953941i \(0.403015\pi\)
\(654\) −19.3328 + 6.37591i −0.755974 + 0.249318i
\(655\) 20.7278 8.58572i 0.809901 0.335472i
\(656\) −2.80959 + 0.846106i −0.109696 + 0.0330349i
\(657\) 4.62747 + 1.91676i 0.180535 + 0.0747799i
\(658\) −50.9084 3.78099i −1.98461 0.147399i
\(659\) 11.1451 9.14659i 0.434153 0.356300i −0.391789 0.920055i \(-0.628144\pi\)
0.825942 + 0.563755i \(0.190644\pi\)
\(660\) 18.3115 + 8.68327i 0.712774 + 0.337996i
\(661\) −36.7110 11.1362i −1.42789 0.433146i −0.520655 0.853767i \(-0.674312\pi\)
−0.907237 + 0.420621i \(0.861812\pi\)
\(662\) −7.32015 1.27396i −0.284506 0.0495140i
\(663\) 2.00004 10.0549i 0.0776751 0.390499i
\(664\) −0.988522 3.59316i −0.0383621 0.139442i
\(665\) −74.0292 + 14.7253i −2.87073 + 0.571024i
\(666\) −2.22151 2.11718i −0.0860817 0.0820392i
\(667\) 4.53113 + 3.71861i 0.175446 + 0.143985i
\(668\) 7.03027 3.31641i 0.272009 0.128316i
\(669\) 5.61856 10.5116i 0.217226 0.406401i
\(670\) 7.62481 + 2.11420i 0.294572 + 0.0816787i
\(671\) 21.7221 21.7221i 0.838571 0.838571i
\(672\) −7.04833 + 13.9153i −0.271895 + 0.536794i
\(673\) 6.36340 + 6.36340i 0.245291 + 0.245291i 0.819035 0.573744i \(-0.194510\pi\)
−0.573744 + 0.819035i \(0.694510\pi\)
\(674\) −3.41069 6.02777i −0.131375 0.232181i
\(675\) 5.49968 + 2.93964i 0.211683 + 0.113147i
\(676\) −2.43791 50.6657i −0.0937658 1.94868i
\(677\) −12.1660 + 14.8243i −0.467577 + 0.569745i −0.952394 0.304871i \(-0.901387\pi\)
0.484816 + 0.874616i \(0.338887\pi\)
\(678\) 25.0176 0.601546i 0.960795 0.0231022i
\(679\) 2.72717 + 13.7104i 0.104659 + 0.526157i
\(680\) 10.2681 11.8673i 0.393763 0.455090i
\(681\) 8.55974 + 1.70264i 0.328010 + 0.0652452i
\(682\) −1.22670 1.74365i −0.0469729 0.0667677i
\(683\) 2.10434 6.93708i 0.0805203 0.265440i −0.907432 0.420199i \(-0.861960\pi\)
0.987952 + 0.154759i \(0.0494602\pi\)
\(684\) −16.3117 0.817806i −0.623693 0.0312696i
\(685\) −23.3862 28.4962i −0.893543 1.08878i
\(686\) 18.8958 16.2830i 0.721445 0.621690i
\(687\) 7.27411 17.5613i 0.277525 0.670004i
\(688\) 1.32570 + 6.73559i 0.0505417 + 0.256792i
\(689\) −8.83812 21.3371i −0.336705 0.812879i
\(690\) −9.73897 4.90833i −0.370756 0.186857i
\(691\) 0.542571 5.50881i 0.0206404 0.209565i −0.979333 0.202255i \(-0.935173\pi\)
0.999973 0.00731020i \(-0.00232693\pi\)
\(692\) 12.5904 16.9405i 0.478616 0.643983i
\(693\) 3.92941 + 7.35140i 0.149266 + 0.279257i
\(694\) −0.779145 3.47788i −0.0295759 0.132018i
\(695\) 30.3072 + 45.3579i 1.14962 + 1.72052i
\(696\) 5.88566 + 4.15846i 0.223095 + 0.157626i
\(697\) 1.00956 + 0.674566i 0.0382398 + 0.0255510i
\(698\) 10.3972 4.60251i 0.393541 0.174208i
\(699\) −17.4622 + 1.71987i −0.660479 + 0.0650515i
\(700\) −34.0138 5.08048i −1.28560 0.192024i
\(701\) −5.75838 + 1.74678i −0.217491 + 0.0659752i −0.397150 0.917754i \(-0.630001\pi\)
0.179659 + 0.983729i \(0.442501\pi\)
\(702\) −8.69390 + 1.06785i −0.328130 + 0.0403033i
\(703\) 17.7202i 0.668330i
\(704\) −22.7452 8.21596i −0.857243 0.309651i
\(705\) 43.8799i 1.65261i
\(706\) 0.290119 + 2.36201i 0.0109188 + 0.0888954i
\(707\) 43.4003 13.1653i 1.63224 0.495134i
\(708\) −5.06223 + 3.74651i −0.190250 + 0.140802i
\(709\) 10.6921 1.05308i 0.401550 0.0395493i 0.104773 0.994496i \(-0.466588\pi\)
0.296777 + 0.954947i \(0.404088\pi\)
\(710\) −27.5327 62.1972i −1.03328 2.33422i
\(711\) −11.3708 7.59770i −0.426437 0.284936i
\(712\) −10.6086 + 46.9105i −0.397572 + 1.75805i
\(713\) 0.637391 + 0.953923i 0.0238705 + 0.0357247i
\(714\) 6.29856 1.41106i 0.235718 0.0528076i
\(715\) −29.5853 55.3502i −1.10643 2.06998i
\(716\) −37.2175 + 5.48240i −1.39088 + 0.204887i
\(717\) 1.31705 13.3723i 0.0491862 0.499396i
\(718\) 17.2446 34.2162i 0.643562 1.27694i
\(719\) 5.30533 + 12.8082i 0.197856 + 0.477666i 0.991403 0.130843i \(-0.0417683\pi\)
−0.793548 + 0.608508i \(0.791768\pi\)
\(720\) −12.3771 5.15598i −0.461267 0.192152i
\(721\) −8.15709 + 19.6930i −0.303786 + 0.733404i
\(722\) 44.0222 + 51.0859i 1.63834 + 1.90122i
\(723\) −12.3535 15.0528i −0.459431 0.559819i
\(724\) 4.83095 4.36967i 0.179541 0.162397i
\(725\) −4.61224 + 15.2045i −0.171294 + 0.564681i
\(726\) 2.15339 1.51497i 0.0799199 0.0562258i
\(727\) 18.6884 + 3.71734i 0.693113 + 0.137869i 0.529062 0.848583i \(-0.322544\pi\)
0.164051 + 0.986452i \(0.447544\pi\)
\(728\) 43.1813 21.6539i 1.60040 0.802549i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) −0.570751 23.7369i −0.0211244 0.878542i
\(731\) 1.80210 2.19586i 0.0666530 0.0812169i
\(732\) −13.6641 + 15.0455i −0.505039 + 0.556099i
\(733\) −45.4840 24.3117i −1.67999 0.897973i −0.983612 0.180297i \(-0.942294\pi\)
−0.696377 0.717676i \(-0.745206\pi\)
\(734\) −10.0077 + 5.66263i −0.369390 + 0.209011i
\(735\) −1.43062 1.43062i −0.0527691 0.0527691i
\(736\) 12.1303 + 4.71428i 0.447129 + 0.173771i
\(737\) −3.56787 + 3.56787i −0.131424 + 0.131424i
\(738\) 0.277193 0.999689i 0.0102036 0.0367990i
\(739\) −9.54677 + 17.8608i −0.351184 + 0.657019i −0.994046 0.108963i \(-0.965247\pi\)
0.642862 + 0.765982i \(0.277747\pi\)
\(740\) −4.91472 + 13.6922i −0.180669 + 0.503337i
\(741\) 39.0977 + 32.0866i 1.43629 + 1.17873i
\(742\) 10.0319 10.5262i 0.368282 0.386428i
\(743\) 20.0247 3.98316i 0.734635 0.146128i 0.186425 0.982469i \(-0.440310\pi\)
0.548209 + 0.836341i \(0.315310\pi\)
\(744\) 0.866099 + 1.11327i 0.0317527 + 0.0408143i
\(745\) 7.20730 36.2335i 0.264055 1.32749i
\(746\) 4.93104 28.3336i 0.180538 1.03737i
\(747\) 1.26084 + 0.382471i 0.0461317 + 0.0139939i
\(748\) 3.36184 + 9.42561i 0.122921 + 0.344635i
\(749\) −3.08478 + 2.53162i −0.112716 + 0.0925032i
\(750\) 0.433979 5.84322i 0.0158467 0.213364i
\(751\) −8.62476 3.57249i −0.314722 0.130362i 0.219731 0.975561i \(-0.429482\pi\)
−0.534453 + 0.845198i \(0.679482\pi\)
\(752\) 5.02747 + 52.1205i 0.183333 + 1.90064i
\(753\) −3.96905 + 1.64404i −0.144640 + 0.0599120i
\(754\) −6.98994 21.1947i −0.254558 0.771864i
\(755\) 64.5523 + 6.35784i 2.34930 + 0.231386i
\(756\) −2.83047 4.73315i −0.102943 0.172143i
\(757\) 10.2521 5.47985i 0.372618 0.199169i −0.274449 0.961602i \(-0.588495\pi\)
0.647067 + 0.762433i \(0.275995\pi\)
\(758\) −29.4380 18.6622i −1.06924 0.677841i
\(759\) 5.78255 3.86378i 0.209893 0.140246i
\(760\) 27.7547 + 72.2763i 1.00677 + 2.62174i
\(761\) 3.41603 5.11245i 0.123831 0.185326i −0.764375 0.644772i \(-0.776952\pi\)
0.888206 + 0.459446i \(0.151952\pi\)
\(762\) −5.02188 1.94006i −0.181923 0.0702809i
\(763\) 3.89055 + 39.5015i 0.140848 + 1.43005i
\(764\) 18.3911 4.58705i 0.665366 0.165954i
\(765\) 1.61058 + 5.30936i 0.0582305 + 0.191960i
\(766\) 19.2477 24.6380i 0.695447 0.890208i
\(767\) 19.5034 0.704228
\(768\) 15.2922 + 4.70618i 0.551810 + 0.169820i
\(769\) 19.3705 0.698518 0.349259 0.937026i \(-0.386433\pi\)
0.349259 + 0.937026i \(0.386433\pi\)
\(770\) 24.3265 31.1392i 0.876668 1.12218i
\(771\) −6.41796 21.1572i −0.231137 0.761957i
\(772\) −35.4841 + 8.85035i −1.27710 + 0.318531i
\(773\) −1.93639 19.6605i −0.0696472 0.707139i −0.965082 0.261947i \(-0.915635\pi\)