Properties

Label 384.2.v.a.37.5
Level $384$
Weight $2$
Character 384.37
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 37.5
Character \(\chi\) \(=\) 384.37
Dual form 384.2.v.a.301.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26619 + 0.629900i) q^{2} +(0.471397 + 0.881921i) q^{3} +(1.20645 - 1.59514i) q^{4} +(2.98357 - 2.44855i) q^{5} +(-1.15240 - 0.819743i) q^{6} +(-2.04572 + 1.36691i) q^{7} +(-0.522814 + 2.77969i) q^{8} +(-0.555570 + 0.831470i) q^{9} +O(q^{10})\) \(q+(-1.26619 + 0.629900i) q^{2} +(0.471397 + 0.881921i) q^{3} +(1.20645 - 1.59514i) q^{4} +(2.98357 - 2.44855i) q^{5} +(-1.15240 - 0.819743i) q^{6} +(-2.04572 + 1.36691i) q^{7} +(-0.522814 + 2.77969i) q^{8} +(-0.555570 + 0.831470i) q^{9} +(-2.23541 + 4.97967i) q^{10} +(0.959618 + 3.16344i) q^{11} +(1.97551 + 0.312052i) q^{12} +(4.43568 - 5.40489i) q^{13} +(1.72925 - 3.01936i) q^{14} +(3.56587 + 1.47703i) q^{15} +(-1.08895 - 3.84892i) q^{16} +(-3.65108 + 1.51233i) q^{17} +(0.179713 - 1.40275i) q^{18} +(5.95936 - 0.586946i) q^{19} +(-0.306249 - 7.71326i) q^{20} +(-2.16985 - 1.15981i) q^{21} +(-3.20770 - 3.40104i) q^{22} +(1.08122 - 0.215068i) q^{23} +(-2.69792 + 0.849255i) q^{24} +(1.93082 - 9.70689i) q^{25} +(-2.21185 + 9.63763i) q^{26} +(-0.995185 - 0.0980171i) q^{27} +(-0.287657 + 4.91233i) q^{28} +(5.57069 + 1.68985i) q^{29} +(-5.44544 + 0.375945i) q^{30} +(-1.83643 - 1.83643i) q^{31} +(3.80324 + 4.18752i) q^{32} +(-2.33754 + 2.33754i) q^{33} +(3.67033 - 4.21470i) q^{34} +(-2.75661 + 9.08732i) q^{35} +(0.656042 + 1.88934i) q^{36} +(-0.175248 + 1.77933i) q^{37} +(-7.17594 + 4.49699i) q^{38} +(6.85765 + 1.36407i) q^{39} +(5.24635 + 9.57352i) q^{40} +(2.09598 + 10.5372i) q^{41} +(3.47800 + 0.101746i) q^{42} +(1.80711 - 3.38086i) q^{43} +(6.20386 + 2.28581i) q^{44} +(0.378314 + 3.84109i) q^{45} +(-1.23355 + 0.953376i) q^{46} +(-1.08886 - 2.62875i) q^{47} +(2.88112 - 2.77473i) q^{48} +(-0.362239 + 0.874522i) q^{49} +(3.66959 + 13.5070i) q^{50} +(-3.05486 - 2.50706i) q^{51} +(-3.27012 - 13.5963i) q^{52} +(-5.92059 + 1.79599i) q^{53} +(1.32183 - 0.502759i) q^{54} +(10.6089 + 7.08865i) q^{55} +(-2.73005 - 6.40111i) q^{56} +(3.32687 + 4.97901i) q^{57} +(-8.11796 + 1.36931i) q^{58} +(-9.26227 - 11.2861i) q^{59} +(6.65813 - 3.90610i) q^{60} +(-0.421211 + 0.225142i) q^{61} +(3.48202 + 1.16849i) q^{62} -2.46037i q^{63} +(-7.45333 - 2.90652i) q^{64} -26.9868i q^{65} +(1.48734 - 4.43218i) q^{66} +(-3.99868 + 2.13734i) q^{67} +(-1.99248 + 7.64853i) q^{68} +(0.699356 + 0.852168i) q^{69} +(-2.23372 - 13.2426i) q^{70} +(1.75803 + 2.63108i) q^{71} +(-2.02077 - 1.97902i) q^{72} +(-4.01832 - 2.68495i) q^{73} +(-0.898901 - 2.36335i) q^{74} +(9.47090 - 2.87297i) q^{75} +(6.25343 - 10.2141i) q^{76} +(-6.28724 - 5.15981i) q^{77} +(-9.54229 + 2.59247i) q^{78} +(-3.57266 + 8.62517i) q^{79} +(-12.6732 - 8.81718i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-9.29128 - 12.0218i) q^{82} +(0.707625 + 7.18464i) q^{83} +(-4.46789 + 2.06196i) q^{84} +(-7.19022 + 13.4520i) q^{85} +(-0.158530 + 5.41909i) q^{86} +(1.13569 + 5.70950i) q^{87} +(-9.29507 + 1.01355i) q^{88} +(9.88754 + 1.96675i) q^{89} +(-2.89851 - 4.62523i) q^{90} +(-1.68618 + 17.1201i) q^{91} +(0.961376 - 1.98417i) q^{92} +(0.753898 - 2.48527i) q^{93} +(3.03455 + 2.64261i) q^{94} +(16.3430 - 16.3430i) q^{95} +(-1.90023 + 5.32814i) q^{96} +(-8.11239 - 8.11239i) q^{97} +(-0.0921996 - 1.33548i) q^{98} +(-3.16344 - 0.959618i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{25}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26619 + 0.629900i −0.895328 + 0.445406i
\(3\) 0.471397 + 0.881921i 0.272161 + 0.509177i
\(4\) 1.20645 1.59514i 0.603226 0.797570i
\(5\) 2.98357 2.44855i 1.33429 1.09502i 0.346700 0.937976i \(-0.387302\pi\)
0.987591 0.157049i \(-0.0501980\pi\)
\(6\) −1.15240 0.819743i −0.470464 0.334659i
\(7\) −2.04572 + 1.36691i −0.773211 + 0.516643i −0.878467 0.477802i \(-0.841434\pi\)
0.105257 + 0.994445i \(0.466434\pi\)
\(8\) −0.522814 + 2.77969i −0.184843 + 0.982768i
\(9\) −0.555570 + 0.831470i −0.185190 + 0.277157i
\(10\) −2.23541 + 4.97967i −0.706898 + 1.57471i
\(11\) 0.959618 + 3.16344i 0.289336 + 0.953812i 0.974304 + 0.225239i \(0.0723163\pi\)
−0.684968 + 0.728573i \(0.740184\pi\)
\(12\) 1.97551 + 0.312052i 0.570279 + 0.0900817i
\(13\) 4.43568 5.40489i 1.23024 1.49905i 0.426017 0.904715i \(-0.359916\pi\)
0.804220 0.594332i \(-0.202584\pi\)
\(14\) 1.72925 3.01936i 0.462162 0.806958i
\(15\) 3.56587 + 1.47703i 0.920704 + 0.381368i
\(16\) −1.08895 3.84892i −0.272236 0.962230i
\(17\) −3.65108 + 1.51233i −0.885516 + 0.366793i −0.778634 0.627479i \(-0.784087\pi\)
−0.106882 + 0.994272i \(0.534087\pi\)
\(18\) 0.179713 1.40275i 0.0423586 0.330631i
\(19\) 5.95936 0.586946i 1.36717 0.134655i 0.612351 0.790586i \(-0.290224\pi\)
0.754821 + 0.655931i \(0.227724\pi\)
\(20\) −0.306249 7.71326i −0.0684795 1.72474i
\(21\) −2.16985 1.15981i −0.473501 0.253091i
\(22\) −3.20770 3.40104i −0.683885 0.725103i
\(23\) 1.08122 0.215068i 0.225450 0.0448448i −0.0810726 0.996708i \(-0.525835\pi\)
0.306522 + 0.951863i \(0.400835\pi\)
\(24\) −2.69792 + 0.849255i −0.550710 + 0.173353i
\(25\) 1.93082 9.70689i 0.386164 1.94138i
\(26\) −2.21185 + 9.63763i −0.433780 + 1.89010i
\(27\) −0.995185 0.0980171i −0.191523 0.0188634i
\(28\) −0.287657 + 4.91233i −0.0543620 + 0.928342i
\(29\) 5.57069 + 1.68985i 1.03445 + 0.313797i 0.761455 0.648218i \(-0.224485\pi\)
0.272996 + 0.962015i \(0.411985\pi\)
\(30\) −5.44544 + 0.375945i −0.994196 + 0.0686378i
\(31\) −1.83643 1.83643i −0.329832 0.329832i 0.522690 0.852523i \(-0.324928\pi\)
−0.852523 + 0.522690i \(0.824928\pi\)
\(32\) 3.80324 + 4.18752i 0.672325 + 0.740256i
\(33\) −2.33754 + 2.33754i −0.406914 + 0.406914i
\(34\) 3.67033 4.21470i 0.629456 0.722814i
\(35\) −2.75661 + 9.08732i −0.465952 + 1.53604i
\(36\) 0.656042 + 1.88934i 0.109340 + 0.314890i
\(37\) −0.175248 + 1.77933i −0.0288107 + 0.292519i 0.969973 + 0.243213i \(0.0782013\pi\)
−0.998784 + 0.0493069i \(0.984299\pi\)
\(38\) −7.17594 + 4.49699i −1.16409 + 0.729507i
\(39\) 6.85765 + 1.36407i 1.09810 + 0.218426i
\(40\) 5.24635 + 9.57352i 0.829521 + 1.51371i
\(41\) 2.09598 + 10.5372i 0.327337 + 1.64563i 0.697440 + 0.716644i \(0.254323\pi\)
−0.370103 + 0.928991i \(0.620677\pi\)
\(42\) 3.47800 + 0.101746i 0.536667 + 0.0156997i
\(43\) 1.80711 3.38086i 0.275581 0.515576i −0.705613 0.708597i \(-0.749328\pi\)
0.981195 + 0.193021i \(0.0618285\pi\)
\(44\) 6.20386 + 2.28581i 0.935267 + 0.344599i
\(45\) 0.378314 + 3.84109i 0.0563957 + 0.572595i
\(46\) −1.23355 + 0.953376i −0.181878 + 0.140568i
\(47\) −1.08886 2.62875i −0.158827 0.383443i 0.824354 0.566074i \(-0.191538\pi\)
−0.983181 + 0.182631i \(0.941538\pi\)
\(48\) 2.88112 2.77473i 0.415854 0.400498i
\(49\) −0.362239 + 0.874522i −0.0517484 + 0.124932i
\(50\) 3.66959 + 13.5070i 0.518959 + 1.91017i
\(51\) −3.05486 2.50706i −0.427766 0.351058i
\(52\) −3.27012 13.5963i −0.453485 1.88546i
\(53\) −5.92059 + 1.79599i −0.813255 + 0.246698i −0.669402 0.742901i \(-0.733449\pi\)
−0.143854 + 0.989599i \(0.545949\pi\)
\(54\) 1.32183 0.502759i 0.179878 0.0684168i
\(55\) 10.6089 + 7.08865i 1.43051 + 0.955834i
\(56\) −2.73005 6.40111i −0.364818 0.855385i
\(57\) 3.32687 + 4.97901i 0.440654 + 0.659485i
\(58\) −8.11796 + 1.36931i −1.06594 + 0.179799i
\(59\) −9.26227 11.2861i −1.20585 1.46933i −0.843370 0.537333i \(-0.819432\pi\)
−0.362475 0.931993i \(-0.618068\pi\)
\(60\) 6.65813 3.90610i 0.859561 0.504275i
\(61\) −0.421211 + 0.225142i −0.0539305 + 0.0288265i −0.498142 0.867096i \(-0.665984\pi\)
0.444211 + 0.895922i \(0.353484\pi\)
\(62\) 3.48202 + 1.16849i 0.442217 + 0.148399i
\(63\) 2.46037i 0.309978i
\(64\) −7.45333 2.90652i −0.931666 0.363315i
\(65\) 26.9868i 3.34731i
\(66\) 1.48734 4.43218i 0.183080 0.545564i
\(67\) −3.99868 + 2.13734i −0.488517 + 0.261118i −0.697215 0.716863i \(-0.745578\pi\)
0.208698 + 0.977980i \(0.433078\pi\)
\(68\) −1.99248 + 7.64853i −0.241623 + 0.927520i
\(69\) 0.699356 + 0.852168i 0.0841926 + 0.102589i
\(70\) −2.23372 13.2426i −0.266981 1.58280i
\(71\) 1.75803 + 2.63108i 0.208640 + 0.312252i 0.921000 0.389562i \(-0.127374\pi\)
−0.712360 + 0.701814i \(0.752374\pi\)
\(72\) −2.02077 1.97902i −0.238150 0.233229i
\(73\) −4.01832 2.68495i −0.470308 0.314250i 0.297734 0.954649i \(-0.403769\pi\)
−0.768043 + 0.640399i \(0.778769\pi\)
\(74\) −0.898901 2.36335i −0.104495 0.274733i
\(75\) 9.47090 2.87297i 1.09360 0.331741i
\(76\) 6.25343 10.2141i 0.717317 1.17164i
\(77\) −6.28724 5.15981i −0.716498 0.588015i
\(78\) −9.54229 + 2.59247i −1.08045 + 0.293539i
\(79\) −3.57266 + 8.62517i −0.401956 + 0.970407i 0.585235 + 0.810864i \(0.301002\pi\)
−0.987191 + 0.159544i \(0.948998\pi\)
\(80\) −12.6732 8.81718i −1.41691 0.985790i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −9.29128 12.0218i −1.02605 1.32759i
\(83\) 0.707625 + 7.18464i 0.0776719 + 0.788616i 0.952572 + 0.304313i \(0.0984269\pi\)
−0.874900 + 0.484303i \(0.839073\pi\)
\(84\) −4.46789 + 2.06196i −0.487486 + 0.224979i
\(85\) −7.19022 + 13.4520i −0.779889 + 1.45907i
\(86\) −0.158530 + 5.41909i −0.0170948 + 0.584356i
\(87\) 1.13569 + 5.70950i 0.121759 + 0.612122i
\(88\) −9.29507 + 1.01355i −0.990858 + 0.108045i
\(89\) 9.88754 + 1.96675i 1.04808 + 0.208475i 0.688947 0.724812i \(-0.258073\pi\)
0.359130 + 0.933287i \(0.383073\pi\)
\(90\) −2.89851 4.62523i −0.305530 0.487542i
\(91\) −1.68618 + 17.1201i −0.176760 + 1.79467i
\(92\) 0.961376 1.98417i 0.100230 0.206864i
\(93\) 0.753898 2.48527i 0.0781756 0.257711i
\(94\) 3.03455 + 2.64261i 0.312990 + 0.272565i
\(95\) 16.3430 16.3430i 1.67676 1.67676i
\(96\) −1.90023 + 5.32814i −0.193941 + 0.543801i
\(97\) −8.11239 8.11239i −0.823688 0.823688i 0.162947 0.986635i \(-0.447900\pi\)
−0.986635 + 0.162947i \(0.947900\pi\)
\(98\) −0.0921996 1.33548i −0.00931357 0.134904i
\(99\) −3.16344 0.959618i −0.317937 0.0964453i
\(100\) −13.1544 14.7908i −1.31544 1.47908i
\(101\) 2.05405 + 0.202307i 0.204386 + 0.0201303i 0.199692 0.979859i \(-0.436006\pi\)
0.00469404 + 0.999989i \(0.498506\pi\)
\(102\) 5.44721 + 1.25014i 0.539354 + 0.123783i
\(103\) 1.44636 7.27132i 0.142514 0.716464i −0.841765 0.539844i \(-0.818483\pi\)
0.984279 0.176621i \(-0.0565166\pi\)
\(104\) 12.7049 + 15.1556i 1.24582 + 1.48613i
\(105\) −9.31375 + 1.85262i −0.908929 + 0.180797i
\(106\) 6.36527 6.00343i 0.618249 0.583105i
\(107\) −11.7341 6.27198i −1.13437 0.606336i −0.206210 0.978508i \(-0.566113\pi\)
−0.928164 + 0.372172i \(0.878613\pi\)
\(108\) −1.35699 + 1.46921i −0.130577 + 0.141374i
\(109\) 4.17695 0.411394i 0.400079 0.0394044i 0.104023 0.994575i \(-0.466828\pi\)
0.296056 + 0.955171i \(0.404328\pi\)
\(110\) −17.8980 2.29299i −1.70651 0.218628i
\(111\) −1.65184 + 0.684213i −0.156785 + 0.0649427i
\(112\) 7.48881 + 6.38534i 0.707626 + 0.603358i
\(113\) −15.8685 6.57293i −1.49278 0.618329i −0.520859 0.853643i \(-0.674388\pi\)
−0.971919 + 0.235314i \(0.924388\pi\)
\(114\) −7.34870 4.20875i −0.688269 0.394186i
\(115\) 2.69929 3.28909i 0.251710 0.306709i
\(116\) 9.41632 6.84731i 0.874283 0.635756i
\(117\) 2.02967 + 6.69093i 0.187643 + 0.618577i
\(118\) 18.8369 + 8.45601i 1.73408 + 0.778439i
\(119\) 5.40188 8.08449i 0.495190 0.741104i
\(120\) −5.96998 + 9.13980i −0.544982 + 0.834345i
\(121\) 0.0596949 0.0398869i 0.00542681 0.00362608i
\(122\) 0.391514 0.550392i 0.0354461 0.0498302i
\(123\) −8.30494 + 6.81569i −0.748832 + 0.614550i
\(124\) −5.14492 + 0.713797i −0.462028 + 0.0641009i
\(125\) −8.90989 16.6692i −0.796925 1.49094i
\(126\) 1.54979 + 3.11529i 0.138066 + 0.277532i
\(127\) −11.1669 −0.990904 −0.495452 0.868635i \(-0.664998\pi\)
−0.495452 + 0.868635i \(0.664998\pi\)
\(128\) 11.2681 1.01466i 0.995970 0.0896839i
\(129\) 3.83352 0.337522
\(130\) 16.9990 + 34.1703i 1.49091 + 2.99694i
\(131\) 0.976252 + 1.82644i 0.0852955 + 0.159577i 0.920952 0.389675i \(-0.127413\pi\)
−0.835657 + 0.549252i \(0.814913\pi\)
\(132\) 0.908574 + 6.54884i 0.0790812 + 0.570003i
\(133\) −11.3889 + 9.34664i −0.987544 + 0.810456i
\(134\) 3.71676 5.22504i 0.321080 0.451375i
\(135\) −3.20920 + 2.14432i −0.276204 + 0.184554i
\(136\) −2.29496 10.9395i −0.196791 0.938056i
\(137\) −6.41394 + 9.59913i −0.547980 + 0.820109i −0.997313 0.0732546i \(-0.976661\pi\)
0.449334 + 0.893364i \(0.351661\pi\)
\(138\) −1.42230 0.638479i −0.121074 0.0543509i
\(139\) −0.690060 2.27482i −0.0585301 0.192948i 0.922800 0.385280i \(-0.125895\pi\)
−0.981330 + 0.192332i \(0.938395\pi\)
\(140\) 11.1698 + 15.3606i 0.944023 + 1.29821i
\(141\) 1.80506 2.19948i 0.152014 0.185229i
\(142\) −3.88332 2.22405i −0.325881 0.186639i
\(143\) 21.3546 + 8.84537i 1.78576 + 0.739687i
\(144\) 3.80525 + 1.23292i 0.317104 + 0.102743i
\(145\) 20.7582 8.59833i 1.72387 0.714052i
\(146\) 6.77919 + 0.868513i 0.561050 + 0.0718786i
\(147\) −0.942018 + 0.0927807i −0.0776963 + 0.00765242i
\(148\) 2.62685 + 2.42622i 0.215925 + 0.199434i
\(149\) −14.2336 7.60800i −1.16606 0.623272i −0.229338 0.973347i \(-0.573656\pi\)
−0.936722 + 0.350075i \(0.886156\pi\)
\(150\) −10.1822 + 9.60342i −0.831376 + 0.784116i
\(151\) −6.22354 + 1.23794i −0.506465 + 0.100742i −0.441708 0.897159i \(-0.645627\pi\)
−0.0647569 + 0.997901i \(0.520627\pi\)
\(152\) −1.48411 + 16.8720i −0.120377 + 1.36850i
\(153\) 0.770977 3.87596i 0.0623298 0.313353i
\(154\) 11.2110 + 2.57294i 0.903407 + 0.207333i
\(155\) −9.97569 0.982519i −0.801266 0.0789178i
\(156\) 10.4493 9.29323i 0.836615 0.744054i
\(157\) −2.75689 0.836292i −0.220023 0.0667434i 0.178348 0.983967i \(-0.442925\pi\)
−0.398372 + 0.917224i \(0.630425\pi\)
\(158\) −0.909339 13.1715i −0.0723431 1.04787i
\(159\) −4.37487 4.37487i −0.346950 0.346950i
\(160\) 21.6006 + 3.18133i 1.70768 + 0.251506i
\(161\) −1.91790 + 1.91790i −0.151152 + 0.151152i
\(162\) 1.06650 + 0.928751i 0.0837921 + 0.0729696i
\(163\) −6.88047 + 22.6819i −0.538920 + 1.77658i 0.0864537 + 0.996256i \(0.472447\pi\)
−0.625374 + 0.780325i \(0.715053\pi\)
\(164\) 19.3370 + 9.36925i 1.50997 + 0.731616i
\(165\) −1.25062 + 12.6978i −0.0973609 + 0.988522i
\(166\) −5.42159 8.65135i −0.420797 0.671475i
\(167\) 2.73125 + 0.543280i 0.211351 + 0.0420403i 0.299630 0.954055i \(-0.403137\pi\)
−0.0882792 + 0.996096i \(0.528137\pi\)
\(168\) 4.35834 5.42515i 0.336253 0.418559i
\(169\) −7.00143 35.1985i −0.538571 2.70758i
\(170\) 0.630769 21.5618i 0.0483778 1.65371i
\(171\) −2.82282 + 5.28112i −0.215866 + 0.403857i
\(172\) −3.21276 6.96144i −0.244970 0.530804i
\(173\) 0.531236 + 5.39373i 0.0403891 + 0.410078i 0.994028 + 0.109125i \(0.0348048\pi\)
−0.953639 + 0.300953i \(0.902695\pi\)
\(174\) −5.03441 6.51391i −0.381657 0.493819i
\(175\) 9.31851 + 22.4969i 0.704413 + 1.70060i
\(176\) 11.1309 7.13831i 0.839020 0.538070i
\(177\) 5.58726 13.4888i 0.419964 1.01388i
\(178\) −13.7583 + 3.73788i −1.03123 + 0.280166i
\(179\) −14.2679 11.7094i −1.06643 0.875199i −0.0739106 0.997265i \(-0.523548\pi\)
−0.992522 + 0.122066i \(0.961048\pi\)
\(180\) 6.58349 + 4.03062i 0.490704 + 0.300425i
\(181\) 11.6163 3.52377i 0.863433 0.261920i 0.172652 0.984983i \(-0.444767\pi\)
0.690782 + 0.723063i \(0.257267\pi\)
\(182\) −8.64892 22.7393i −0.641101 1.68555i
\(183\) −0.397115 0.265344i −0.0293556 0.0196148i
\(184\) 0.0325449 + 3.11789i 0.00239924 + 0.229854i
\(185\) 3.83390 + 5.73784i 0.281874 + 0.421855i
\(186\) 0.610896 + 3.62169i 0.0447931 + 0.265556i
\(187\) −8.28779 10.0987i −0.606063 0.738490i
\(188\) −5.50689 1.43457i −0.401631 0.104627i
\(189\) 2.16985 1.15981i 0.157834 0.0843638i
\(190\) −10.3988 + 30.9877i −0.754409 + 2.24808i
\(191\) 11.4088i 0.825512i 0.910842 + 0.412756i \(0.135434\pi\)
−0.910842 + 0.412756i \(0.864566\pi\)
\(192\) −0.950154 7.94338i −0.0685714 0.573264i
\(193\) 9.92348i 0.714308i −0.934046 0.357154i \(-0.883747\pi\)
0.934046 0.357154i \(-0.116253\pi\)
\(194\) 15.3818 + 5.16180i 1.10435 + 0.370595i
\(195\) 23.8003 12.7215i 1.70437 0.911006i
\(196\) 0.957961 + 1.63289i 0.0684258 + 0.116635i
\(197\) 2.07042 + 2.52281i 0.147511 + 0.179743i 0.841524 0.540220i \(-0.181659\pi\)
−0.694013 + 0.719963i \(0.744159\pi\)
\(198\) 4.60996 0.777594i 0.327616 0.0552612i
\(199\) 6.03645 + 9.03418i 0.427912 + 0.640416i 0.981295 0.192511i \(-0.0616632\pi\)
−0.553382 + 0.832927i \(0.686663\pi\)
\(200\) 25.9727 + 10.4420i 1.83655 + 0.738359i
\(201\) −3.76993 2.51899i −0.265910 0.177676i
\(202\) −2.72825 + 1.03769i −0.191959 + 0.0730117i
\(203\) −13.7060 + 4.15766i −0.961970 + 0.291810i
\(204\) −7.68465 + 1.84828i −0.538033 + 0.129406i
\(205\) 32.0544 + 26.3063i 2.23877 + 1.83731i
\(206\) 2.74885 + 10.1179i 0.191521 + 0.704947i
\(207\) −0.421871 + 1.01849i −0.0293221 + 0.0707897i
\(208\) −25.6332 11.1870i −1.77734 0.775676i
\(209\) 7.57548 + 18.2888i 0.524007 + 1.26506i
\(210\) 10.6260 8.21249i 0.733262 0.566716i
\(211\) −0.106935 1.08573i −0.00736172 0.0747448i 0.990802 0.135320i \(-0.0432064\pi\)
−0.998164 + 0.0605756i \(0.980706\pi\)
\(212\) −4.27805 + 11.6109i −0.293818 + 0.797443i
\(213\) −1.49168 + 2.79073i −0.102208 + 0.191218i
\(214\) 18.8082 + 0.550216i 1.28570 + 0.0376120i
\(215\) −2.88658 14.5118i −0.196863 0.989697i
\(216\) 0.792754 2.71506i 0.0539401 0.184736i
\(217\) 6.26705 + 1.24659i 0.425435 + 0.0846243i
\(218\) −5.02966 + 3.15196i −0.340651 + 0.213478i
\(219\) 0.473696 4.80952i 0.0320094 0.324997i
\(220\) 24.1066 8.37059i 1.62526 0.564345i
\(221\) −8.02105 + 26.4419i −0.539554 + 1.77867i
\(222\) 1.66055 1.90683i 0.111449 0.127978i
\(223\) −16.9852 + 16.9852i −1.13741 + 1.13741i −0.148502 + 0.988912i \(0.547445\pi\)
−0.988912 + 0.148502i \(0.952555\pi\)
\(224\) −13.5043 3.36783i −0.902297 0.225023i
\(225\) 6.99828 + 6.99828i 0.466552 + 0.466552i
\(226\) 24.2327 1.67299i 1.61193 0.111286i
\(227\) 8.78060 + 2.66357i 0.582789 + 0.176787i 0.567894 0.823102i \(-0.307759\pi\)
0.0148953 + 0.999889i \(0.495259\pi\)
\(228\) 11.9559 + 0.700116i 0.791800 + 0.0463663i
\(229\) 13.3368 + 1.31356i 0.881320 + 0.0868025i 0.528545 0.848906i \(-0.322738\pi\)
0.352776 + 0.935708i \(0.385238\pi\)
\(230\) −1.34600 + 5.86488i −0.0887526 + 0.386719i
\(231\) 1.58676 7.97717i 0.104401 0.524859i
\(232\) −7.60969 + 14.6013i −0.499601 + 0.958622i
\(233\) −11.5813 + 2.30366i −0.758716 + 0.150918i −0.559264 0.828989i \(-0.688916\pi\)
−0.199452 + 0.979908i \(0.563916\pi\)
\(234\) −6.78456 7.19347i −0.443520 0.470252i
\(235\) −9.68533 5.17692i −0.631801 0.337705i
\(236\) −29.1774 + 1.15847i −1.89929 + 0.0754098i
\(237\) −9.29086 + 0.915070i −0.603506 + 0.0594402i
\(238\) −1.74737 + 13.6391i −0.113265 + 0.884092i
\(239\) −2.48517 + 1.02939i −0.160752 + 0.0665859i −0.461609 0.887084i \(-0.652728\pi\)
0.300856 + 0.953670i \(0.402728\pi\)
\(240\) 1.80194 15.3332i 0.116315 0.989752i
\(241\) −0.203878 0.0844492i −0.0131330 0.00543985i 0.376107 0.926576i \(-0.377262\pi\)
−0.389240 + 0.921136i \(0.627262\pi\)
\(242\) −0.0504601 + 0.0881060i −0.00324370 + 0.00566367i
\(243\) 0.634393 0.773010i 0.0406963 0.0495886i
\(244\) −0.149038 + 0.943514i −0.00954118 + 0.0604023i
\(245\) 1.06055 + 3.49615i 0.0677559 + 0.223361i
\(246\) 6.22240 13.8612i 0.396726 0.883759i
\(247\) 23.2615 34.8132i 1.48009 2.21511i
\(248\) 6.06481 4.14459i 0.385116 0.263181i
\(249\) −6.00271 + 4.01088i −0.380406 + 0.254179i
\(250\) 21.7815 + 15.4940i 1.37758 + 0.979927i
\(251\) 10.3345 8.48127i 0.652305 0.535333i −0.249008 0.968501i \(-0.580105\pi\)
0.901313 + 0.433169i \(0.142605\pi\)
\(252\) −3.92464 2.96832i −0.247229 0.186987i
\(253\) 1.71791 + 3.21399i 0.108004 + 0.202062i
\(254\) 14.1394 7.03404i 0.887185 0.441355i
\(255\) −15.2530 −0.955181
\(256\) −13.6284 + 8.38253i −0.851775 + 0.523908i
\(257\) 13.6022 0.848482 0.424241 0.905549i \(-0.360541\pi\)
0.424241 + 0.905549i \(0.360541\pi\)
\(258\) −4.85394 + 2.41473i −0.302193 + 0.150335i
\(259\) −2.07367 3.87956i −0.128851 0.241064i
\(260\) −43.0478 32.5583i −2.66971 2.01918i
\(261\) −4.49997 + 3.69303i −0.278541 + 0.228593i
\(262\) −2.38659 1.69767i −0.147444 0.104882i
\(263\) 17.4449 11.6563i 1.07570 0.718760i 0.114171 0.993461i \(-0.463579\pi\)
0.961530 + 0.274701i \(0.0885788\pi\)
\(264\) −5.27554 7.71974i −0.324687 0.475117i
\(265\) −13.2669 + 19.8553i −0.814979 + 1.21970i
\(266\) 8.53303 19.0084i 0.523194 1.16548i
\(267\) 2.92643 + 9.64715i 0.179095 + 0.590396i
\(268\) −1.41486 + 8.95706i −0.0864265 + 0.547139i
\(269\) −10.7267 + 13.0706i −0.654021 + 0.796927i −0.989409 0.145153i \(-0.953632\pi\)
0.335388 + 0.942080i \(0.391132\pi\)
\(270\) 2.71274 4.73658i 0.165092 0.288259i
\(271\) −6.30946 2.61346i −0.383272 0.158757i 0.182724 0.983164i \(-0.441508\pi\)
−0.565997 + 0.824408i \(0.691508\pi\)
\(272\) 9.79664 + 12.4059i 0.594009 + 0.752216i
\(273\) −15.8934 + 6.58327i −0.961914 + 0.398438i
\(274\) 2.07474 16.1944i 0.125340 0.978341i
\(275\) 32.5600 3.20688i 1.96344 0.193382i
\(276\) 2.20307 0.0874712i 0.132609 0.00526515i
\(277\) 7.73714 + 4.13559i 0.464880 + 0.248483i 0.687169 0.726497i \(-0.258853\pi\)
−0.222290 + 0.974981i \(0.571353\pi\)
\(278\) 2.30665 + 2.44568i 0.138344 + 0.146682i
\(279\) 2.54720 0.506669i 0.152497 0.0303335i
\(280\) −23.8187 12.4135i −1.42344 0.741848i
\(281\) −2.02756 + 10.1932i −0.120954 + 0.608077i 0.871993 + 0.489518i \(0.162827\pi\)
−0.992947 + 0.118559i \(0.962173\pi\)
\(282\) −0.900096 + 3.92196i −0.0536000 + 0.233549i
\(283\) −9.76745 0.962010i −0.580615 0.0571856i −0.196553 0.980493i \(-0.562975\pi\)
−0.384061 + 0.923308i \(0.625475\pi\)
\(284\) 6.31793 + 0.369966i 0.374900 + 0.0219535i
\(285\) 22.1173 + 6.70920i 1.31011 + 0.397419i
\(286\) −32.6106 + 2.25138i −1.92830 + 0.133127i
\(287\) −18.6912 18.6912i −1.10331 1.10331i
\(288\) −5.59477 + 0.835817i −0.329675 + 0.0492510i
\(289\) −0.977589 + 0.977589i −0.0575052 + 0.0575052i
\(290\) −20.8676 + 23.9627i −1.22539 + 1.40714i
\(291\) 3.33033 10.9786i 0.195228 0.643579i
\(292\) −9.13079 + 3.17051i −0.534339 + 0.185540i
\(293\) 1.35019 13.7087i 0.0788790 0.800872i −0.871628 0.490168i \(-0.836935\pi\)
0.950507 0.310704i \(-0.100565\pi\)
\(294\) 1.13433 0.710854i 0.0661553 0.0414579i
\(295\) −55.2692 10.9937i −3.21790 0.640080i
\(296\) −4.85435 1.41739i −0.282153 0.0823843i
\(297\) −0.644926 3.24226i −0.0374224 0.188135i
\(298\) 22.8146 + 0.667419i 1.32162 + 0.0386626i
\(299\) 3.63353 6.79785i 0.210132 0.393130i
\(300\) 6.84340 18.5735i 0.395104 1.07234i
\(301\) 0.924485 + 9.38645i 0.0532864 + 0.541026i
\(302\) 7.10038 5.48767i 0.408581 0.315780i
\(303\) 0.789856 + 1.90688i 0.0453760 + 0.109547i
\(304\) −8.74853 22.2980i −0.501763 1.27888i
\(305\) −0.705440 + 1.70308i −0.0403934 + 0.0975182i
\(306\) 1.46527 + 5.39332i 0.0837638 + 0.308316i
\(307\) 16.7181 + 13.7202i 0.954155 + 0.783055i 0.976238 0.216701i \(-0.0695298\pi\)
−0.0220829 + 0.999756i \(0.507030\pi\)
\(308\) −15.8159 + 3.80397i −0.901193 + 0.216752i
\(309\) 7.09454 2.15210i 0.403594 0.122429i
\(310\) 13.2500 5.03963i 0.752547 0.286232i
\(311\) −20.1315 13.4515i −1.14155 0.762762i −0.166789 0.985993i \(-0.553340\pi\)
−0.974766 + 0.223230i \(0.928340\pi\)
\(312\) −7.37697 + 18.3490i −0.417639 + 1.03881i
\(313\) 5.99527 + 8.97255i 0.338872 + 0.507159i 0.961294 0.275523i \(-0.0888512\pi\)
−0.622422 + 0.782682i \(0.713851\pi\)
\(314\) 4.01751 0.677661i 0.226721 0.0382426i
\(315\) −6.02434 7.34068i −0.339433 0.413600i
\(316\) 9.44811 + 16.1048i 0.531498 + 0.905963i
\(317\) 11.2516 6.01408i 0.631950 0.337785i −0.124127 0.992266i \(-0.539613\pi\)
0.756078 + 0.654482i \(0.227113\pi\)
\(318\) 8.29512 + 2.78367i 0.465167 + 0.156100i
\(319\) 19.2441i 1.07746i
\(320\) −29.3543 + 9.57805i −1.64095 + 0.535429i
\(321\) 13.3051i 0.742619i
\(322\) 1.22033 3.63650i 0.0680064 0.202654i
\(323\) −20.8704 + 11.1555i −1.16126 + 0.620708i
\(324\) −1.93541 0.504183i −0.107523 0.0280102i
\(325\) −43.9002 53.4925i −2.43514 2.96723i
\(326\) −5.57535 33.0535i −0.308790 1.83066i
\(327\) 2.33182 + 3.48981i 0.128950 + 0.192987i
\(328\) −30.3859 + 0.317172i −1.67778 + 0.0175129i
\(329\) 5.82078 + 3.88932i 0.320910 + 0.214425i
\(330\) −6.41482 16.8655i −0.353124 0.928417i
\(331\) −13.5473 + 4.10953i −0.744628 + 0.225880i −0.639727 0.768602i \(-0.720953\pi\)
−0.104901 + 0.994483i \(0.533453\pi\)
\(332\) 12.3142 + 7.53916i 0.675831 + 0.413765i
\(333\) −1.38209 1.13425i −0.0757382 0.0621568i
\(334\) −3.80049 + 1.03252i −0.207953 + 0.0564971i
\(335\) −6.69695 + 16.1679i −0.365893 + 0.883345i
\(336\) −2.10117 + 9.61457i −0.114628 + 0.524518i
\(337\) 8.72310 + 21.0594i 0.475177 + 1.14718i 0.961846 + 0.273593i \(0.0882120\pi\)
−0.486668 + 0.873587i \(0.661788\pi\)
\(338\) 31.0367 + 40.1577i 1.68817 + 2.18429i
\(339\) −1.68353 17.0932i −0.0914369 0.928374i
\(340\) 12.7831 + 27.6986i 0.693261 + 1.50217i
\(341\) 4.04715 7.57169i 0.219166 0.410030i
\(342\) 0.247634 8.46497i 0.0133905 0.457733i
\(343\) −3.81431 19.1758i −0.205954 1.03540i
\(344\) 8.45295 + 6.79075i 0.455753 + 0.366133i
\(345\) 4.17315 + 0.830092i 0.224675 + 0.0446906i
\(346\) −4.07015 6.49484i −0.218813 0.349165i
\(347\) −0.661997 + 6.72137i −0.0355379 + 0.360822i 0.960926 + 0.276804i \(0.0892753\pi\)
−0.996464 + 0.0840179i \(0.973225\pi\)
\(348\) 10.4776 + 5.07665i 0.561659 + 0.272137i
\(349\) 6.33637 20.8882i 0.339178 1.11812i −0.607062 0.794655i \(-0.707652\pi\)
0.946240 0.323466i \(-0.104848\pi\)
\(350\) −25.9697 22.6155i −1.38814 1.20885i
\(351\) −4.94409 + 4.94409i −0.263896 + 0.263896i
\(352\) −9.59731 + 16.0497i −0.511538 + 0.855454i
\(353\) −6.52212 6.52212i −0.347138 0.347138i 0.511905 0.859042i \(-0.328940\pi\)
−0.859042 + 0.511905i \(0.828940\pi\)
\(354\) 1.42211 + 20.5988i 0.0755842 + 1.09481i
\(355\) 11.6875 + 3.54538i 0.620310 + 0.188169i
\(356\) 15.0661 13.3992i 0.798501 0.710157i
\(357\) 9.67631 + 0.953033i 0.512125 + 0.0504399i
\(358\) 25.4415 + 5.83888i 1.34463 + 0.308594i
\(359\) 5.49887 27.6447i 0.290219 1.45903i −0.510441 0.859913i \(-0.670518\pi\)
0.800660 0.599119i \(-0.204482\pi\)
\(360\) −10.8748 0.956579i −0.573153 0.0504161i
\(361\) 16.5346 3.28894i 0.870242 0.173102i
\(362\) −12.4888 + 11.7789i −0.656396 + 0.619083i
\(363\) 0.0633171 + 0.0338437i 0.00332329 + 0.00177633i
\(364\) 25.2746 + 23.3443i 1.32475 + 1.22357i
\(365\) −18.5632 + 1.82831i −0.971640 + 0.0956982i
\(366\) 0.669961 + 0.0858318i 0.0350194 + 0.00448650i
\(367\) 26.2430 10.8702i 1.36988 0.567421i 0.428121 0.903721i \(-0.359176\pi\)
0.941755 + 0.336300i \(0.109176\pi\)
\(368\) −2.00517 3.92733i −0.104527 0.204726i
\(369\) −9.92583 4.11141i −0.516718 0.214032i
\(370\) −8.46870 4.85020i −0.440267 0.252150i
\(371\) 9.65693 11.7670i 0.501363 0.610912i
\(372\) −3.05481 4.20093i −0.158385 0.217808i
\(373\) 7.82879 + 25.8081i 0.405360 + 1.33629i 0.887746 + 0.460333i \(0.152270\pi\)
−0.482387 + 0.875958i \(0.660230\pi\)
\(374\) 16.8550 + 7.56635i 0.871553 + 0.391247i
\(375\) 10.5009 15.7156i 0.542262 0.811552i
\(376\) 7.87638 1.65236i 0.406193 0.0852137i
\(377\) 33.8433 22.6133i 1.74302 1.16465i
\(378\) −2.01687 + 2.83533i −0.103737 + 0.145833i
\(379\) 24.5562 20.1528i 1.26137 1.03518i 0.263864 0.964560i \(-0.415003\pi\)
0.997503 0.0706177i \(-0.0224970\pi\)
\(380\) −6.35232 45.7864i −0.325867 2.34879i
\(381\) −5.26405 9.84835i −0.269685 0.504546i
\(382\) −7.18640 14.4457i −0.367688 0.739104i
\(383\) 1.16704 0.0596330 0.0298165 0.999555i \(-0.490508\pi\)
0.0298165 + 0.999555i \(0.490508\pi\)
\(384\) 6.20660 + 9.45929i 0.316729 + 0.482717i
\(385\) −31.3925 −1.59991
\(386\) 6.25080 + 12.5650i 0.318157 + 0.639540i
\(387\) 1.80711 + 3.38086i 0.0918604 + 0.171859i
\(388\) −22.7276 + 3.15319i −1.15382 + 0.160079i
\(389\) −14.8032 + 12.1486i −0.750550 + 0.615961i −0.929895 0.367826i \(-0.880102\pi\)
0.179345 + 0.983786i \(0.442602\pi\)
\(390\) −22.1223 + 31.0996i −1.12021 + 1.57479i
\(391\) −3.62236 + 2.42038i −0.183191 + 0.122404i
\(392\) −2.24151 1.46412i −0.113214 0.0739494i
\(393\) −1.15057 + 1.72195i −0.0580388 + 0.0868611i
\(394\) −4.21065 1.89019i −0.212130 0.0952265i
\(395\) 10.4599 + 34.4816i 0.526294 + 1.73496i
\(396\) −5.34726 + 3.88839i −0.268710 + 0.195399i
\(397\) 20.5557 25.0472i 1.03166 1.25709i 0.0658546 0.997829i \(-0.479023\pi\)
0.965809 0.259256i \(-0.0834774\pi\)
\(398\) −13.3339 7.63659i −0.668368 0.382788i
\(399\) −13.6117 5.63815i −0.681437 0.282260i
\(400\) −39.4636 + 3.13870i −1.97318 + 0.156935i
\(401\) 29.4276 12.1893i 1.46954 0.608705i 0.502788 0.864410i \(-0.332308\pi\)
0.966755 + 0.255705i \(0.0823076\pi\)
\(402\) 6.36014 + 0.814827i 0.317215 + 0.0406399i
\(403\) −18.0715 + 1.77989i −0.900205 + 0.0886625i
\(404\) 2.80083 3.03243i 0.139346 0.150869i
\(405\) −3.40393 1.81944i −0.169142 0.0904085i
\(406\) 14.7354 13.8977i 0.731305 0.689734i
\(407\) −5.79696 + 1.15309i −0.287345 + 0.0571564i
\(408\) 8.56596 7.18082i 0.424078 0.355504i
\(409\) −6.96876 + 35.0343i −0.344583 + 1.73234i 0.287809 + 0.957688i \(0.407073\pi\)
−0.632392 + 0.774649i \(0.717927\pi\)
\(410\) −57.1571 13.1177i −2.82279 0.647835i
\(411\) −11.4892 1.13159i −0.566720 0.0558170i
\(412\) −9.85382 11.0796i −0.485463 0.545855i
\(413\) 34.3751 + 10.4276i 1.69149 + 0.513108i
\(414\) −0.107378 1.55533i −0.00527732 0.0764403i
\(415\) 19.7032 + 19.7032i 0.967191 + 0.967191i
\(416\) 39.5031 1.98160i 1.93680 0.0971559i
\(417\) 1.68092 1.68092i 0.0823151 0.0823151i
\(418\) −21.1121 18.3853i −1.03263 0.899253i
\(419\) −5.03762 + 16.6068i −0.246104 + 0.811295i 0.743657 + 0.668561i \(0.233089\pi\)
−0.989761 + 0.142734i \(0.954411\pi\)
\(420\) −8.28141 + 17.0918i −0.404091 + 0.833997i
\(421\) 0.466805 4.73955i 0.0227507 0.230992i −0.977085 0.212851i \(-0.931725\pi\)
0.999835 0.0181410i \(-0.00577476\pi\)
\(422\) 0.819302 + 1.30738i 0.0398830 + 0.0636422i
\(423\) 2.79067 + 0.555098i 0.135687 + 0.0269898i
\(424\) −1.89693 17.3964i −0.0921229 0.844842i
\(425\) 7.63040 + 38.3606i 0.370129 + 1.86076i
\(426\) 0.130859 4.47319i 0.00634013 0.216727i
\(427\) 0.553933 1.03634i 0.0268067 0.0501518i
\(428\) −24.1613 + 11.1506i −1.16788 + 0.538985i
\(429\) 2.26557 + 23.0028i 0.109383 + 1.11058i
\(430\) 12.7959 + 16.5564i 0.617075 + 0.798420i
\(431\) −7.58467 18.3110i −0.365341 0.882011i −0.994500 0.104734i \(-0.966601\pi\)
0.629159 0.777276i \(-0.283399\pi\)
\(432\) 0.706441 + 3.93712i 0.0339887 + 0.189425i
\(433\) −1.54887 + 3.73930i −0.0744339 + 0.179699i −0.956717 0.291020i \(-0.906005\pi\)
0.882283 + 0.470719i \(0.156005\pi\)
\(434\) −8.72048 + 2.36920i −0.418596 + 0.113725i
\(435\) 17.3684 + 14.2539i 0.832751 + 0.683421i
\(436\) 4.38306 7.15915i 0.209911 0.342861i
\(437\) 6.31715 1.91629i 0.302190 0.0916684i
\(438\) 2.42973 + 6.38812i 0.116097 + 0.305236i
\(439\) 33.3724 + 22.2987i 1.59278 + 1.06426i 0.956064 + 0.293159i \(0.0947066\pi\)
0.636714 + 0.771100i \(0.280293\pi\)
\(440\) −25.2507 + 25.7834i −1.20378 + 1.22918i
\(441\) −0.525889 0.787049i −0.0250424 0.0374785i
\(442\) −6.49958 38.5328i −0.309154 1.83282i
\(443\) −1.80619 2.20085i −0.0858149 0.104566i 0.728333 0.685223i \(-0.240295\pi\)
−0.814148 + 0.580658i \(0.802795\pi\)
\(444\) −0.901447 + 3.46038i −0.0427808 + 0.164223i
\(445\) 34.3158 18.3422i 1.62673 0.869503i
\(446\) 10.8075 32.2054i 0.511748 1.52497i
\(447\) 16.1393i 0.763362i
\(448\) 19.2204 4.24209i 0.908079 0.200420i
\(449\) 27.7113i 1.30778i 0.756590 + 0.653889i \(0.226864\pi\)
−0.756590 + 0.653889i \(0.773136\pi\)
\(450\) −13.2693 4.45291i −0.625522 0.209912i
\(451\) −31.3224 + 16.7422i −1.47492 + 0.788359i
\(452\) −29.6293 + 17.3825i −1.39364 + 0.817603i
\(453\) −4.02552 4.90511i −0.189136 0.230462i
\(454\) −12.7956 + 2.15833i −0.600530 + 0.101295i
\(455\) 36.8885 + 55.2076i 1.72936 + 2.58817i
\(456\) −15.5794 + 6.64455i −0.729573 + 0.311160i
\(457\) 12.1272 + 8.10312i 0.567285 + 0.379048i 0.805887 0.592070i \(-0.201689\pi\)
−0.238601 + 0.971118i \(0.576689\pi\)
\(458\) −17.7143 + 6.73763i −0.827733 + 0.314829i
\(459\) 3.78173 1.14717i 0.176516 0.0535455i
\(460\) −1.99000 8.27387i −0.0927842 0.385771i
\(461\) 0.415165 + 0.340717i 0.0193362 + 0.0158688i 0.644012 0.765016i \(-0.277269\pi\)
−0.624676 + 0.780884i \(0.714769\pi\)
\(462\) 3.01569 + 11.1001i 0.140303 + 0.516422i
\(463\) 6.18436 14.9304i 0.287412 0.693873i −0.712558 0.701613i \(-0.752464\pi\)
0.999970 + 0.00773975i \(0.00246366\pi\)
\(464\) 0.437925 23.2813i 0.0203302 1.08081i
\(465\) −3.83600 9.26093i −0.177890 0.429465i
\(466\) 13.2130 10.2119i 0.612081 0.473058i
\(467\) 0.340199 + 3.45410i 0.0157425 + 0.159836i 0.999842 0.0177823i \(-0.00566059\pi\)
−0.984099 + 0.177619i \(0.943161\pi\)
\(468\) 13.1217 + 4.83468i 0.606550 + 0.223483i
\(469\) 5.25865 9.83824i 0.242822 0.454288i
\(470\) 15.5244 + 0.454150i 0.716085 + 0.0209484i
\(471\) −0.562043 2.82558i −0.0258976 0.130196i
\(472\) 36.2143 19.8457i 1.66690 0.913472i
\(473\) 12.4293 + 2.47234i 0.571499 + 0.113678i
\(474\) 11.1876 7.01096i 0.513861 0.322024i
\(475\) 5.80904 58.9802i 0.266537 2.70620i
\(476\) −6.37878 18.3703i −0.292371 0.842002i
\(477\) 1.79599 5.92059i 0.0822327 0.271085i
\(478\) 2.49828 2.86881i 0.114269 0.131216i
\(479\) −2.28697 + 2.28697i −0.104494 + 0.104494i −0.757421 0.652927i \(-0.773541\pi\)
0.652927 + 0.757421i \(0.273541\pi\)
\(480\) 7.37676 + 20.5497i 0.336702 + 0.937960i
\(481\) 8.83972 + 8.83972i 0.403057 + 0.403057i
\(482\) 0.311342 0.0214946i 0.0141813 0.000979052i
\(483\) −2.59553 0.787344i −0.118101 0.0358254i
\(484\) 0.00839393 0.143343i 0.000381542 0.00651561i
\(485\) −44.0674 4.34026i −2.00100 0.197081i
\(486\) −0.316341 + 1.37838i −0.0143495 + 0.0625245i
\(487\) −2.73762 + 13.7629i −0.124053 + 0.623658i 0.867867 + 0.496796i \(0.165490\pi\)
−0.991920 + 0.126862i \(0.959510\pi\)
\(488\) −0.405609 1.28854i −0.0183611 0.0583296i
\(489\) −23.2471 + 4.62413i −1.05127 + 0.209110i
\(490\) −3.54508 3.75874i −0.160150 0.169803i
\(491\) −15.7806 8.43492i −0.712170 0.380663i 0.0751792 0.997170i \(-0.476047\pi\)
−0.787349 + 0.616507i \(0.788547\pi\)
\(492\) 0.852465 + 21.4704i 0.0384321 + 0.967959i
\(493\) −22.8946 + 2.25492i −1.03112 + 0.101557i
\(494\) −7.52447 + 58.7324i −0.338542 + 2.64250i
\(495\) −11.7880 + 4.88275i −0.529831 + 0.219463i
\(496\) −5.06850 + 9.06803i −0.227582 + 0.407167i
\(497\) −7.19290 2.97940i −0.322646 0.133644i
\(498\) 5.07409 8.85963i 0.227376 0.397010i
\(499\) 8.97029 10.9303i 0.401565 0.489309i −0.532490 0.846436i \(-0.678744\pi\)
0.934056 + 0.357127i \(0.116244\pi\)
\(500\) −37.3391 5.89811i −1.66986 0.263772i
\(501\) 0.808374 + 2.66485i 0.0361155 + 0.119057i
\(502\) −7.74299 + 17.2485i −0.345586 + 0.769839i
\(503\) −8.13683 + 12.1776i −0.362803 + 0.542974i −0.967300 0.253634i \(-0.918374\pi\)
0.604497 + 0.796607i \(0.293374\pi\)
\(504\) 6.83906 + 1.28632i 0.304636 + 0.0572971i
\(505\) 6.62377 4.42586i 0.294754 0.196948i
\(506\) −4.19969 2.98739i −0.186699 0.132806i
\(507\) 27.7419 22.7672i 1.23206 1.01113i
\(508\) −13.4724 + 17.8128i −0.597739 + 0.790315i
\(509\) −14.8006 27.6900i −0.656027 1.22734i −0.961412 0.275111i \(-0.911285\pi\)
0.305386 0.952229i \(-0.401215\pi\)
\(510\) 19.3132 9.60787i 0.855201 0.425444i
\(511\) 11.8905 0.526003
\(512\) 11.9759 19.1984i 0.529266 0.848456i
\(513\) −5.98820 −0.264385
\(514\) −17.2229 + 8.56803i −0.759670 + 0.377919i
\(515\) −13.4889 25.2359i −0.594391 1.11203i
\(516\) 4.62495 6.11500i 0.203602 0.269198i
\(517\) 7.27100 5.96715i 0.319778 0.262435i
\(518\) 5.06938 + 3.60604i 0.222736 + 0.158440i
\(519\) −4.50642 + 3.01110i −0.197810 + 0.132172i
\(520\) 75.0150 + 14.1091i 3.28962 + 0.618725i
\(521\) −11.0340 + 16.5136i −0.483409 + 0.723472i −0.990362 0.138501i \(-0.955772\pi\)
0.506953 + 0.861973i \(0.330772\pi\)
\(522\) 3.37156 7.51059i 0.147569 0.328729i
\(523\) 3.85021 + 12.6924i 0.168358 + 0.555002i 1.00000 0.000310263i \(-9.87599e-5\pi\)
−0.831642 + 0.555312i \(0.812599\pi\)
\(524\) 4.09123 + 0.646253i 0.178726 + 0.0282317i
\(525\) −15.4478 + 18.8231i −0.674195 + 0.821509i
\(526\) −14.7462 + 25.7476i −0.642965 + 1.12265i
\(527\) 9.48221 + 3.92766i 0.413052 + 0.171092i
\(528\) 11.5425 + 6.45156i 0.502322 + 0.280768i
\(529\) −20.1264 + 8.33665i −0.875063 + 0.362463i
\(530\) 4.29149 33.4973i 0.186411 1.45503i
\(531\) 14.5299 1.43107i 0.630544 0.0621032i
\(532\) 1.16902 + 29.4432i 0.0506834 + 1.27652i
\(533\) 66.2495 + 35.4111i 2.86959 + 1.53383i
\(534\) −9.78215 10.3717i −0.423315 0.448829i
\(535\) −50.3666 + 10.0185i −2.17754 + 0.433139i
\(536\) −3.85057 12.2325i −0.166319 0.528364i
\(537\) 3.60089 18.1029i 0.155390 0.781198i
\(538\) 5.34889 23.3065i 0.230607 1.00482i
\(539\) −3.11411 0.306713i −0.134134 0.0132111i
\(540\) −0.451257 + 7.70614i −0.0194190 + 0.331620i
\(541\) 13.3912 + 4.06219i 0.575734 + 0.174647i 0.564706 0.825292i \(-0.308990\pi\)
0.0110282 + 0.999939i \(0.496490\pi\)
\(542\) 9.63517 0.665197i 0.413866 0.0285727i
\(543\) 8.58358 + 8.58358i 0.368356 + 0.368356i
\(544\) −20.2188 9.53723i −0.866875 0.408905i
\(545\) 11.4549 11.4549i 0.490673 0.490673i
\(546\) 15.9772 18.3469i 0.683762 0.785175i
\(547\) −3.71293 + 12.2399i −0.158754 + 0.523340i −0.999846 0.0175511i \(-0.994413\pi\)
0.841092 + 0.540891i \(0.181913\pi\)
\(548\) 7.57386 + 21.8120i 0.323539 + 0.931764i
\(549\) 0.0468136 0.475306i 0.00199796 0.0202856i
\(550\) −39.2070 + 24.5700i −1.67179 + 1.04767i
\(551\) 34.1896 + 6.80074i 1.45653 + 0.289721i
\(552\) −2.73440 + 1.49847i −0.116384 + 0.0637790i
\(553\) −4.48114 22.5282i −0.190557 0.957997i
\(554\) −12.4017 0.362798i −0.526896 0.0154138i
\(555\) −3.25304 + 6.08600i −0.138084 + 0.258336i
\(556\) −4.46119 1.64372i −0.189196 0.0697094i
\(557\) −2.95877 30.0409i −0.125367 1.27287i −0.827760 0.561083i \(-0.810385\pi\)
0.702393 0.711789i \(-0.252115\pi\)
\(558\) −2.90607 + 2.24602i −0.123024 + 0.0950815i
\(559\) −10.2574 24.7636i −0.433843 1.04739i
\(560\) 37.9782 + 0.714375i 1.60487 + 0.0301879i
\(561\) 4.99942 12.0697i 0.211076 0.509582i
\(562\) −3.85345 14.1837i −0.162548 0.598302i
\(563\) 34.8402 + 28.5926i 1.46834 + 1.20503i 0.932734 + 0.360566i \(0.117416\pi\)
0.535605 + 0.844469i \(0.320084\pi\)
\(564\) −1.33075 5.53290i −0.0560347 0.232977i
\(565\) −63.4387 + 19.2439i −2.66889 + 0.809598i
\(566\) 12.9734 4.93443i 0.545312 0.207410i
\(567\) 2.04572 + 1.36691i 0.0859123 + 0.0574048i
\(568\) −8.23271 + 3.51122i −0.345437 + 0.147327i
\(569\) −13.9186 20.8306i −0.583498 0.873266i 0.415848 0.909434i \(-0.363485\pi\)
−0.999346 + 0.0361679i \(0.988485\pi\)
\(570\) −32.2307 + 5.43657i −1.34999 + 0.227713i
\(571\) 24.5933 + 29.9670i 1.02920 + 1.25408i 0.966666 + 0.256039i \(0.0824176\pi\)
0.0625320 + 0.998043i \(0.480082\pi\)
\(572\) 39.8729 23.3921i 1.66717 0.978072i
\(573\) −10.0617 + 5.37807i −0.420332 + 0.224672i
\(574\) 35.4401 + 11.8929i 1.47924 + 0.496402i
\(575\) 10.9105i 0.455001i
\(576\) 6.55753 4.58244i 0.273230 0.190935i
\(577\) 10.9632i 0.456405i −0.973614 0.228202i \(-0.926715\pi\)
0.973614 0.228202i \(-0.0732848\pi\)
\(578\) 0.622026 1.85359i 0.0258729 0.0770993i
\(579\) 8.75173 4.67790i 0.363709 0.194407i
\(580\) 11.3282 43.4857i 0.470380 1.80565i
\(581\) −11.2683 13.7305i −0.467490 0.569638i
\(582\) 2.69862 + 15.9988i 0.111861 + 0.663170i
\(583\) −11.3630 17.0059i −0.470608 0.704314i
\(584\) 9.56417 9.76594i 0.395768 0.404117i
\(585\) 22.4387 + 14.9931i 0.927727 + 0.619888i
\(586\) 6.92553 + 18.2083i 0.286091 + 0.752177i
\(587\) −14.5873 + 4.42502i −0.602084 + 0.182640i −0.576588 0.817035i \(-0.695616\pi\)
−0.0254955 + 0.999675i \(0.508116\pi\)
\(588\) −0.988502 + 1.61459i −0.0407651 + 0.0665844i
\(589\) −12.0218 9.86606i −0.495351 0.406524i
\(590\) 76.9060 20.8940i 3.16617 0.860191i
\(591\) −1.24893 + 3.01519i −0.0513743 + 0.124028i
\(592\) 7.03932 1.26307i 0.289314 0.0519119i
\(593\) 4.95416 + 11.9604i 0.203443 + 0.491155i 0.992365 0.123339i \(-0.0393603\pi\)
−0.788922 + 0.614494i \(0.789360\pi\)
\(594\) 2.85890 + 3.69907i 0.117302 + 0.151775i
\(595\) −3.67839 37.3474i −0.150799 1.53109i
\(596\) −29.3080 + 13.5259i −1.20050 + 0.554040i
\(597\) −5.12187 + 9.58235i −0.209624 + 0.392180i
\(598\) −0.318755 + 10.8961i −0.0130348 + 0.445574i
\(599\) 0.615640 + 3.09503i 0.0251544 + 0.126460i 0.991322 0.131455i \(-0.0419648\pi\)
−0.966168 + 0.257914i \(0.916965\pi\)
\(600\) 3.03443 + 27.8282i 0.123880 + 1.13608i
\(601\) 20.5609 + 4.08982i 0.838697 + 0.166827i 0.595707 0.803202i \(-0.296872\pi\)
0.242990 + 0.970029i \(0.421872\pi\)
\(602\) −7.08310 11.3027i −0.288685 0.460662i
\(603\) 0.444415 4.51223i 0.0180980 0.183752i
\(604\) −5.53372 + 11.4209i −0.225164 + 0.464711i
\(605\) 0.0804388 0.265171i 0.00327030 0.0107807i
\(606\) −2.20125 1.91694i −0.0894196 0.0778702i
\(607\) −19.7502 + 19.7502i −0.801636 + 0.801636i −0.983351 0.181715i \(-0.941835\pi\)
0.181715 + 0.983351i \(0.441835\pi\)
\(608\) 25.1228 + 22.7227i 1.01886 + 0.921526i
\(609\) −10.1277 10.1277i −0.410394 0.410394i
\(610\) −0.179553 2.60077i −0.00726991 0.105302i
\(611\) −19.0380 5.77511i −0.770194 0.233636i
\(612\) −5.25256 5.90598i −0.212322 0.238735i
\(613\) −24.3473 2.39800i −0.983377 0.0968541i −0.406470 0.913664i \(-0.633240\pi\)
−0.576907 + 0.816810i \(0.695740\pi\)
\(614\) −29.8106 6.84160i −1.20306 0.276104i
\(615\) −8.08979 + 40.6701i −0.326212 + 1.63998i
\(616\) 17.6297 14.7790i 0.710322 0.595461i
\(617\) 32.0204 6.36925i 1.28909 0.256417i 0.497499 0.867464i \(-0.334252\pi\)
0.791594 + 0.611048i \(0.209252\pi\)
\(618\) −7.62739 + 7.19381i −0.306819 + 0.289378i
\(619\) 2.50042 + 1.33650i 0.100500 + 0.0537185i 0.520881 0.853629i \(-0.325603\pi\)
−0.420381 + 0.907348i \(0.638103\pi\)
\(620\) −13.6024 + 14.7273i −0.546287 + 0.591461i
\(621\) −1.09709 + 0.108054i −0.0440248 + 0.00433607i
\(622\) 33.9633 + 4.35120i 1.36181 + 0.174467i
\(623\) −22.9155 + 9.49193i −0.918092 + 0.380286i
\(624\) −2.21740 27.8800i −0.0887672 1.11609i
\(625\) −21.6802 8.98024i −0.867209 0.359210i
\(626\) −13.2429 7.58450i −0.529294 0.303137i
\(627\) −12.5583 + 15.3023i −0.501528 + 0.611114i
\(628\) −4.66006 + 3.38867i −0.185956 + 0.135223i
\(629\) −2.05108 6.76149i −0.0817817 0.269598i
\(630\) 12.2518 + 5.49993i 0.488124 + 0.219123i
\(631\) 14.7194 22.0292i 0.585972 0.876969i −0.413465 0.910520i \(-0.635682\pi\)
0.999437 + 0.0335513i \(0.0106817\pi\)
\(632\) −22.1074 14.4402i −0.879387 0.574402i
\(633\) 0.907121 0.606119i 0.0360548 0.0240911i
\(634\) −10.4583 + 14.7023i −0.415352 + 0.583903i
\(635\) −33.3172 + 27.3428i −1.32215 + 1.08506i
\(636\) −12.2566 + 1.70046i −0.486006 + 0.0674275i
\(637\) 3.11992 + 5.83696i 0.123616 + 0.231269i
\(638\) −12.1219 24.3667i −0.479910 0.964685i
\(639\) −3.16438 −0.125181
\(640\) 31.1347 30.6178i 1.23071 1.21028i
\(641\) 5.16639 0.204060 0.102030 0.994781i \(-0.467466\pi\)
0.102030 + 0.994781i \(0.467466\pi\)
\(642\) 8.38089 + 16.8467i 0.330767 + 0.664888i
\(643\) −22.5356 42.1612i −0.888718 1.66267i −0.738746 0.673984i \(-0.764582\pi\)
−0.149972 0.988690i \(-0.547918\pi\)
\(644\) 0.745464 + 5.37317i 0.0293754 + 0.211733i
\(645\) 11.4375 9.38655i 0.450353 0.369595i
\(646\) 19.3990 27.2712i 0.763244 1.07297i
\(647\) 1.87949 1.25584i 0.0738905 0.0493720i −0.518076 0.855334i \(-0.673352\pi\)
0.591967 + 0.805962i \(0.298352\pi\)
\(648\) 2.76817 0.580723i 0.108744 0.0228130i
\(649\) 26.8147 40.1310i 1.05257 1.57528i
\(650\) 89.2808 + 40.0788i 3.50188 + 1.57202i
\(651\) 1.85487 + 6.11469i 0.0726981 + 0.239653i
\(652\) 27.8798 + 38.3399i 1.09186 + 1.50151i
\(653\) 10.7906 13.1484i 0.422269 0.514536i −0.517809 0.855496i \(-0.673252\pi\)
0.940078 + 0.340960i \(0.110752\pi\)
\(654\) −5.15075 2.94994i −0.201410 0.115352i
\(655\) 7.38484 + 3.05890i 0.288550 + 0.119521i
\(656\) 38.2745 19.5417i 1.49437 0.762975i
\(657\) 4.46491 1.84943i 0.174193 0.0721531i
\(658\) −9.82007 1.25809i −0.382826 0.0490456i
\(659\) 18.7899 1.85065i 0.731952 0.0720910i 0.274827 0.961494i \(-0.411379\pi\)
0.457125 + 0.889403i \(0.348879\pi\)
\(660\) 18.7460 + 17.3142i 0.729685 + 0.673955i
\(661\) −18.2178 9.73761i −0.708590 0.378749i 0.0773905 0.997001i \(-0.475341\pi\)
−0.785980 + 0.618252i \(0.787841\pi\)
\(662\) 14.5648 13.7369i 0.566078 0.533899i
\(663\) −27.1007 + 5.39067i −1.05251 + 0.209356i
\(664\) −20.3410 1.78925i −0.789384 0.0694365i
\(665\) −11.0939 + 55.7726i −0.430202 + 2.16277i
\(666\) 2.46445 + 0.565597i 0.0954956 + 0.0219164i
\(667\) 6.38657 + 0.629022i 0.247289 + 0.0243558i
\(668\) 4.16174 3.70129i 0.161022 0.143207i
\(669\) −22.9864 6.97285i −0.888706 0.269586i
\(670\) −1.70455 24.6899i −0.0658527 0.953855i
\(671\) −1.11642 1.11642i −0.0430991 0.0430991i
\(672\) −3.39574 13.4974i −0.130994 0.520672i
\(673\) −20.7520 + 20.7520i −0.799932 + 0.799932i −0.983084 0.183153i \(-0.941370\pi\)
0.183153 + 0.983084i \(0.441370\pi\)
\(674\) −24.3104 21.1705i −0.936401 0.815455i
\(675\) −2.87297 + 9.47090i −0.110580 + 0.364535i
\(676\) −64.5935 31.2971i −2.48437 1.20373i
\(677\) −0.679573 + 6.89982i −0.0261181 + 0.265182i 0.973253 + 0.229734i \(0.0737857\pi\)
−0.999372 + 0.0354476i \(0.988714\pi\)
\(678\) 12.8987 + 20.5827i 0.495370 + 0.790473i
\(679\) 27.6846 + 5.50681i 1.06244 + 0.211332i
\(680\) −33.6331 27.0195i −1.28977 1.03615i
\(681\) 1.79009 + 8.99939i 0.0685964 + 0.344858i
\(682\) −0.355041 + 12.1365i −0.0135952 + 0.464730i
\(683\) 13.4658 25.1928i 0.515256 0.963976i −0.480933 0.876757i \(-0.659702\pi\)
0.996189 0.0872189i \(-0.0277980\pi\)
\(684\) 5.01853 + 10.8742i 0.191888 + 0.415786i
\(685\) 4.36755 + 44.3445i 0.166876 + 1.69432i
\(686\) 16.9085 + 21.8775i 0.645569 + 0.835289i
\(687\) 5.12847 + 12.3812i 0.195663 + 0.472373i
\(688\) −14.9805 3.27384i −0.571126 0.124814i
\(689\) −16.5547 + 39.9666i −0.630684 + 1.52261i
\(690\) −5.80686 + 1.57762i −0.221063 + 0.0600589i
\(691\) 14.0454 + 11.5268i 0.534312 + 0.438499i 0.862458 0.506128i \(-0.168924\pi\)
−0.328146 + 0.944627i \(0.606424\pi\)
\(692\) 9.24467 + 5.65988i 0.351430 + 0.215156i
\(693\) 7.78323 2.36102i 0.295660 0.0896876i
\(694\) −3.39558 8.92749i −0.128894 0.338883i
\(695\) −7.62885 5.09744i −0.289379 0.193357i
\(696\) −16.4644 + 0.171857i −0.624081 + 0.00651423i
\(697\) −23.5883 35.3023i −0.893469 1.33717i
\(698\) 5.13446 + 30.4396i 0.194342 + 1.15216i
\(699\) −7.49104 9.12786i −0.283337 0.345247i
\(700\) 47.1280 + 12.2771i 1.78127 + 0.464030i
\(701\) 1.59344 0.851710i 0.0601833 0.0321686i −0.441031 0.897492i \(-0.645387\pi\)
0.501214 + 0.865323i \(0.332887\pi\)
\(702\) 3.14586 9.37442i 0.118733 0.353815i
\(703\) 10.7065i 0.403804i
\(704\) 2.04224 26.3673i 0.0769699 0.993755i
\(705\) 10.9821i 0.413609i
\(706\) 12.3665 + 4.14993i 0.465419 + 0.156185i
\(707\) −4.47856 + 2.39384i −0.168434 + 0.0900297i
\(708\) −14.7758 25.1861i −0.555309 0.946551i
\(709\) −4.30893 5.25044i −0.161825 0.197184i 0.685785 0.727804i \(-0.259459\pi\)
−0.847610 + 0.530620i \(0.821959\pi\)
\(710\) −17.0318 + 2.87288i −0.639193 + 0.107817i
\(711\) −5.18670 7.76245i −0.194516 0.291114i
\(712\) −10.6363 + 26.4560i −0.398612 + 0.991481i
\(713\) −2.38054 1.59062i −0.0891519 0.0595694i
\(714\) −12.8523 + 4.88839i −0.480986 + 0.182943i
\(715\) 85.3712 25.8971i 3.19270 0.968495i
\(716\) −35.8916 + 8.63251i −1.34133 + 0.322612i
\(717\) −2.07935 1.70647i −0.0776546 0.0637295i
\(718\) 10.4508 + 38.4671i 0.390020 + 1.43558i
\(719\) 16.4978 39.8292i 0.615264 1.48538i −0.241882 0.970306i \(-0.577765\pi\)
0.857146 0.515073i \(-0.172235\pi\)
\(720\) 14.3721 5.63883i 0.535616 0.210147i
\(721\) 6.98039 + 16.8521i 0.259963 + 0.627607i
\(722\) −18.8642 + 14.5795i −0.702052 + 0.542594i
\(723\) −0.0216301 0.219614i −0.000804431 0.00816752i
\(724\) 8.39362 22.7809i 0.311946 0.846645i
\(725\) 27.1592 50.8113i 1.00867 1.88708i
\(726\) −0.101489 0.00296897i −0.00376662 0.000110189i
\(727\) −3.63264 18.2625i −0.134727 0.677318i −0.987825 0.155568i \(-0.950279\pi\)
0.853098 0.521750i \(-0.174721\pi\)
\(728\) −46.7069 13.6377i −1.73107 0.505446i
\(729\) 0.980785 + 0.195090i 0.0363254 + 0.00722557i
\(730\) 22.3527 14.0079i 0.827312 0.518456i
\(731\) −1.48493 + 15.0767i −0.0549220 + 0.557632i
\(732\) −0.902361 + 0.313330i −0.0333522 + 0.0115810i
\(733\) 13.0686 43.0814i 0.482700 1.59125i −0.290362 0.956917i \(-0.593776\pi\)
0.773062 0.634331i \(-0.218724\pi\)
\(734\) −26.3814 + 30.2942i −0.973756 + 1.11818i
\(735\) −2.58339 + 2.58339i −0.0952899 + 0.0952899i
\(736\) 5.01274 + 3.70968i 0.184772 + 0.136740i
\(737\) −10.5986 10.5986i −0.390403 0.390403i
\(738\) 15.1577 1.04647i 0.557963 0.0385209i
\(739\) 0.529674 + 0.160675i 0.0194844 + 0.00591052i 0.300012 0.953935i \(-0.403009\pi\)
−0.280527 + 0.959846i \(0.590509\pi\)
\(740\) 13.7781 + 0.806819i 0.506493 + 0.0296593i
\(741\) 41.6679 + 4.10393i 1.53071 + 0.150762i
\(742\) −4.81543 + 20.9821i −0.176780 + 0.770277i
\(743\) −3.74382 + 18.8214i −0.137347 + 0.690492i 0.849338 + 0.527850i \(0.177002\pi\)
−0.986685 + 0.162642i \(0.947998\pi\)
\(744\) 6.51413 + 3.39494i 0.238819 + 0.124464i
\(745\) −61.0954 + 12.1526i −2.23836 + 0.445238i
\(746\) −26.1692 27.7465i −0.958123 1.01587i
\(747\) −6.36694 3.40320i −0.232954 0.124517i
\(748\) −26.1077 + 1.03659i −0.954590 + 0.0379013i
\(749\) 32.5779 3.20864i 1.19037 0.117241i
\(750\) −3.39675 + 26.5134i −0.124032 + 0.968133i
\(751\) 2.90097 1.20162i 0.105858 0.0438478i −0.329126 0.944286i \(-0.606754\pi\)
0.434984 + 0.900438i \(0.356754\pi\)
\(752\) −8.93214 + 7.05352i −0.325722 + 0.257215i
\(753\) 12.3514 + 5.11613i 0.450111 + 0.186442i
\(754\) −28.6077 + 49.9505i −1.04183 + 1.81909i
\(755\) −15.5372 + 18.9321i −0.565456 + 0.689011i
\(756\) 0.767764 4.86048i 0.0279233 0.176774i
\(757\) 6.27384 + 20.6821i 0.228027 + 0.751703i 0.994053 + 0.108894i \(0.0347310\pi\)
−0.766027 + 0.642809i \(0.777769\pi\)
\(758\) −18.3985 + 40.9851i −0.668264 + 1.48865i
\(759\) −2.02467 + 3.03013i −0.0734907 + 0.109987i
\(760\) 36.8841 + 53.9728i 1.33793 + 1.95780i
\(761\) −30.2127 + 20.1875i −1.09521 + 0.731795i −0.965668 0.259779i \(-0.916350\pi\)
−0.129540 + 0.991574i \(0.541350\pi\)
\(762\) 12.8687 + 9.15401i 0.466185 + 0.331615i
\(763\) −7.98255 + 6.55111i −0.288988 + 0.237166i
\(764\) 18.1986 + 13.7642i 0.658404 + 0.497970i
\(765\) −7.19022 13.4520i −0.259963 0.486357i
\(766\) −1.47769 + 0.735119i −0.0533911 + 0.0265609i
\(767\) −102.085 −3.68606
\(768\) −13.8171 8.06768i −0.498582 0.291117i
\(769\) 10.2358 0.369111 0.184555 0.982822i \(-0.440916\pi\)
0.184555 + 0.982822i \(0.440916\pi\)
\(770\) 39.7487 19.7741i 1.43244 0.712609i
\(771\) 6.41204 + 11.9961i 0.230924 + 0.432028i
\(772\) −15.8293 11.9722i −0.569710 0.430889i
\(773\) −20.0823 + 16.4811i −0.722311 + 0.592785i −0.922053 0.387063i \(-0.873489\pi\)
0.199742 + 0.979848i \(0.435989\pi\)