Properties

Label 150.2.l.a.137.9
Level $150$
Weight $2$
Character 150.137
Analytic conductor $1.198$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 150.l (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 137.9
Character \(\chi\) \(=\) 150.137
Dual form 150.2.l.a.23.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.987688 - 0.156434i) q^{2} +(0.513483 + 1.65419i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-0.545143 + 2.16860i) q^{5} +(0.765933 + 1.55349i) q^{6} +(-1.41702 - 1.41702i) q^{7} +(0.891007 - 0.453990i) q^{8} +(-2.47267 + 1.69880i) q^{9} +O(q^{10})\) \(q+(0.987688 - 0.156434i) q^{2} +(0.513483 + 1.65419i) q^{3} +(0.951057 - 0.309017i) q^{4} +(-0.545143 + 2.16860i) q^{5} +(0.765933 + 1.55349i) q^{6} +(-1.41702 - 1.41702i) q^{7} +(0.891007 - 0.453990i) q^{8} +(-2.47267 + 1.69880i) q^{9} +(-0.199188 + 2.22718i) q^{10} +(2.37267 - 3.26569i) q^{11} +(0.999524 + 1.41455i) q^{12} +(0.301677 - 1.90471i) q^{13} +(-1.62125 - 1.17790i) q^{14} +(-3.86719 + 0.211770i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-1.78386 - 3.50102i) q^{17} +(-2.17648 + 2.06469i) q^{18} +(6.42284 + 2.08691i) q^{19} +(0.151672 + 2.23092i) q^{20} +(1.61640 - 3.07163i) q^{21} +(1.83259 - 3.59666i) q^{22} +(0.317431 + 2.00418i) q^{23} +(1.20850 + 1.24077i) q^{24} +(-4.40564 - 2.36439i) q^{25} -1.92846i q^{26} +(-4.07980 - 3.21796i) q^{27} +(-1.78555 - 0.909783i) q^{28} +(-1.79717 - 5.53113i) q^{29} +(-3.78645 + 0.814125i) q^{30} +(-2.88201 + 8.86991i) q^{31} +(0.707107 - 0.707107i) q^{32} +(6.62039 + 2.24795i) q^{33} +(-2.30957 - 3.17886i) q^{34} +(3.84543 - 2.30047i) q^{35} +(-1.82669 + 2.37975i) q^{36} +(-6.31949 - 1.00091i) q^{37} +(6.67023 + 1.05646i) q^{38} +(3.30566 - 0.479008i) q^{39} +(0.498797 + 2.17973i) q^{40} +(-0.756950 - 1.04185i) q^{41} +(1.11599 - 3.28668i) q^{42} +(-6.68950 + 6.68950i) q^{43} +(1.24738 - 3.83905i) q^{44} +(-2.33605 - 6.28831i) q^{45} +(0.627046 + 1.92985i) q^{46} +(1.18073 + 0.601612i) q^{47} +(1.38772 + 1.03645i) q^{48} -2.98411i q^{49} +(-4.72127 - 1.64609i) q^{50} +(4.87536 - 4.74855i) q^{51} +(-0.301677 - 1.90471i) q^{52} +(-4.96215 + 9.73877i) q^{53} +(-4.53297 - 2.54012i) q^{54} +(5.78854 + 6.92563i) q^{55} +(-1.90589 - 0.619261i) q^{56} +(-0.154113 + 11.6962i) q^{57} +(-2.64031 - 5.18189i) q^{58} +(3.81952 - 2.77504i) q^{59} +(-3.61247 + 1.39643i) q^{60} +(-0.433671 - 0.315081i) q^{61} +(-1.45897 + 9.21155i) q^{62} +(5.91105 + 1.09660i) q^{63} +(0.587785 - 0.809017i) q^{64} +(3.96610 + 1.69256i) q^{65} +(6.89054 + 1.18462i) q^{66} +(-1.35097 + 0.688356i) q^{67} +(-2.77842 - 2.77842i) q^{68} +(-3.15229 + 1.55420i) q^{69} +(3.43821 - 2.87370i) q^{70} +(-0.520251 + 0.169040i) q^{71} +(-1.43193 + 2.63621i) q^{72} +(7.37855 - 1.16865i) q^{73} -6.39826 q^{74} +(1.64893 - 8.50183i) q^{75} +6.75337 q^{76} +(-7.98967 + 1.26544i) q^{77} +(3.19003 - 0.990230i) q^{78} +(10.2088 - 3.31704i) q^{79} +(0.833640 + 2.07486i) q^{80} +(3.22819 - 8.40112i) q^{81} +(-0.910612 - 0.910612i) q^{82} +(3.00600 - 1.53163i) q^{83} +(0.588101 - 3.42079i) q^{84} +(8.56476 - 1.95991i) q^{85} +(-5.56067 + 7.65361i) q^{86} +(8.22670 - 5.81300i) q^{87} +(0.631467 - 3.98692i) q^{88} +(11.4865 + 8.34544i) q^{89} +(-3.29099 - 5.84546i) q^{90} +(-3.12650 + 2.27153i) q^{91} +(0.921220 + 1.80800i) q^{92} +(-16.1523 - 0.212830i) q^{93} +(1.26031 + 0.409498i) q^{94} +(-8.02703 + 12.7909i) q^{95} +(1.53277 + 0.806599i) q^{96} +(-4.82956 + 9.47854i) q^{97} +(-0.466817 - 2.94737i) q^{98} +(-0.319074 + 12.1057i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.987688 0.156434i 0.698401 0.110616i
\(3\) 0.513483 + 1.65419i 0.296460 + 0.955045i
\(4\) 0.951057 0.309017i 0.475528 0.154508i
\(5\) −0.545143 + 2.16860i −0.243795 + 0.969827i
\(6\) 0.765933 + 1.55349i 0.312691 + 0.634212i
\(7\) −1.41702 1.41702i −0.535583 0.535583i 0.386645 0.922229i \(-0.373634\pi\)
−0.922229 + 0.386645i \(0.873634\pi\)
\(8\) 0.891007 0.453990i 0.315018 0.160510i
\(9\) −2.47267 + 1.69880i −0.824223 + 0.566265i
\(10\) −0.199188 + 2.22718i −0.0629888 + 0.704296i
\(11\) 2.37267 3.26569i 0.715386 0.984644i −0.284279 0.958742i \(-0.591754\pi\)
0.999664 0.0259024i \(-0.00824591\pi\)
\(12\) 0.999524 + 1.41455i 0.288538 + 0.408345i
\(13\) 0.301677 1.90471i 0.0836701 0.528272i −0.909879 0.414873i \(-0.863826\pi\)
0.993549 0.113399i \(-0.0361740\pi\)
\(14\) −1.62125 1.17790i −0.433296 0.314808i
\(15\) −3.86719 + 0.211770i −0.998504 + 0.0546789i
\(16\) 0.809017 0.587785i 0.202254 0.146946i
\(17\) −1.78386 3.50102i −0.432649 0.849121i −0.999677 0.0254227i \(-0.991907\pi\)
0.567028 0.823699i \(-0.308093\pi\)
\(18\) −2.17648 + 2.06469i −0.513001 + 0.486652i
\(19\) 6.42284 + 2.08691i 1.47350 + 0.478769i 0.932164 0.362037i \(-0.117919\pi\)
0.541336 + 0.840806i \(0.317919\pi\)
\(20\) 0.151672 + 2.23092i 0.0339148 + 0.498848i
\(21\) 1.61640 3.07163i 0.352727 0.670285i
\(22\) 1.83259 3.59666i 0.390709 0.766810i
\(23\) 0.317431 + 2.00418i 0.0661889 + 0.417900i 0.998428 + 0.0560564i \(0.0178527\pi\)
−0.932239 + 0.361844i \(0.882147\pi\)
\(24\) 1.20850 + 1.24077i 0.246684 + 0.253272i
\(25\) −4.40564 2.36439i −0.881128 0.472879i
\(26\) 1.92846i 0.378201i
\(27\) −4.07980 3.21796i −0.785158 0.619296i
\(28\) −1.78555 0.909783i −0.337437 0.171933i
\(29\) −1.79717 5.53113i −0.333727 1.02710i −0.967346 0.253460i \(-0.918431\pi\)
0.633619 0.773645i \(-0.281569\pi\)
\(30\) −3.78645 + 0.814125i −0.691308 + 0.148638i
\(31\) −2.88201 + 8.86991i −0.517624 + 1.59308i 0.260833 + 0.965384i \(0.416003\pi\)
−0.778457 + 0.627698i \(0.783997\pi\)
\(32\) 0.707107 0.707107i 0.125000 0.125000i
\(33\) 6.62039 + 2.24795i 1.15246 + 0.391319i
\(34\) −2.30957 3.17886i −0.396089 0.545169i
\(35\) 3.84543 2.30047i 0.649996 0.388850i
\(36\) −1.82669 + 2.37975i −0.304449 + 0.396625i
\(37\) −6.31949 1.00091i −1.03892 0.164548i −0.386407 0.922328i \(-0.626284\pi\)
−0.652510 + 0.757780i \(0.726284\pi\)
\(38\) 6.67023 + 1.05646i 1.08205 + 0.171380i
\(39\) 3.30566 0.479008i 0.529329 0.0767027i
\(40\) 0.498797 + 2.17973i 0.0788667 + 0.344645i
\(41\) −0.756950 1.04185i −0.118216 0.162710i 0.745808 0.666161i \(-0.232064\pi\)
−0.864024 + 0.503451i \(0.832064\pi\)
\(42\) 1.11599 3.28668i 0.172201 0.507145i
\(43\) −6.68950 + 6.68950i −1.02014 + 1.02014i −0.0203466 + 0.999793i \(0.506477\pi\)
−0.999793 + 0.0203466i \(0.993523\pi\)
\(44\) 1.24738 3.83905i 0.188050 0.578759i
\(45\) −2.33605 6.28831i −0.348237 0.937407i
\(46\) 0.627046 + 1.92985i 0.0924528 + 0.284541i
\(47\) 1.18073 + 0.601612i 0.172227 + 0.0877541i 0.537979 0.842958i \(-0.319188\pi\)
−0.365752 + 0.930712i \(0.619188\pi\)
\(48\) 1.38772 + 1.03645i 0.200301 + 0.149598i
\(49\) 2.98411i 0.426301i
\(50\) −4.72127 1.64609i −0.667688 0.232792i
\(51\) 4.87536 4.74855i 0.682686 0.664930i
\(52\) −0.301677 1.90471i −0.0418351 0.264136i
\(53\) −4.96215 + 9.73877i −0.681604 + 1.33772i 0.247854 + 0.968797i \(0.420275\pi\)
−0.929459 + 0.368926i \(0.879725\pi\)
\(54\) −4.53297 2.54012i −0.616859 0.345666i
\(55\) 5.78854 + 6.92563i 0.780526 + 0.933852i
\(56\) −1.90589 0.619261i −0.254685 0.0827522i
\(57\) −0.154113 + 11.6962i −0.0204128 + 1.54920i
\(58\) −2.64031 5.18189i −0.346689 0.680416i
\(59\) 3.81952 2.77504i 0.497259 0.361280i −0.310710 0.950505i \(-0.600567\pi\)
0.807969 + 0.589225i \(0.200567\pi\)
\(60\) −3.61247 + 1.39643i −0.466369 + 0.180279i
\(61\) −0.433671 0.315081i −0.0555259 0.0403419i 0.559676 0.828711i \(-0.310926\pi\)
−0.615202 + 0.788370i \(0.710926\pi\)
\(62\) −1.45897 + 9.21155i −0.185289 + 1.16987i
\(63\) 5.91105 + 1.09660i 0.744722 + 0.138158i
\(64\) 0.587785 0.809017i 0.0734732 0.101127i
\(65\) 3.96610 + 1.69256i 0.491934 + 0.209936i
\(66\) 6.89054 + 1.18462i 0.848167 + 0.145817i
\(67\) −1.35097 + 0.688356i −0.165048 + 0.0840960i −0.534563 0.845129i \(-0.679524\pi\)
0.369515 + 0.929225i \(0.379524\pi\)
\(68\) −2.77842 2.77842i −0.336933 0.336933i
\(69\) −3.15229 + 1.55420i −0.379491 + 0.187104i
\(70\) 3.43821 2.87370i 0.410945 0.343473i
\(71\) −0.520251 + 0.169040i −0.0617424 + 0.0200613i −0.339725 0.940525i \(-0.610334\pi\)
0.277983 + 0.960586i \(0.410334\pi\)
\(72\) −1.43193 + 2.63621i −0.168754 + 0.310680i
\(73\) 7.37855 1.16865i 0.863594 0.136780i 0.291104 0.956691i \(-0.405977\pi\)
0.572490 + 0.819912i \(0.305977\pi\)
\(74\) −6.39826 −0.743783
\(75\) 1.64893 8.50183i 0.190402 0.981706i
\(76\) 6.75337 0.774665
\(77\) −7.98967 + 1.26544i −0.910508 + 0.144210i
\(78\) 3.19003 0.990230i 0.361199 0.112121i
\(79\) 10.2088 3.31704i 1.14858 0.373196i 0.327971 0.944688i \(-0.393635\pi\)
0.820607 + 0.571492i \(0.193635\pi\)
\(80\) 0.833640 + 2.07486i 0.0932038 + 0.231976i
\(81\) 3.22819 8.40112i 0.358688 0.933458i
\(82\) −0.910612 0.910612i −0.100560 0.100560i
\(83\) 3.00600 1.53163i 0.329952 0.168119i −0.281165 0.959659i \(-0.590721\pi\)
0.611116 + 0.791541i \(0.290721\pi\)
\(84\) 0.588101 3.42079i 0.0641671 0.373239i
\(85\) 8.56476 1.95991i 0.928978 0.212583i
\(86\) −5.56067 + 7.65361i −0.599623 + 0.825310i
\(87\) 8.22670 5.81300i 0.881995 0.623219i
\(88\) 0.631467 3.98692i 0.0673146 0.425007i
\(89\) 11.4865 + 8.34544i 1.21757 + 0.884615i 0.995896 0.0905063i \(-0.0288485\pi\)
0.221672 + 0.975121i \(0.428849\pi\)
\(90\) −3.29099 5.84546i −0.346901 0.616165i
\(91\) −3.12650 + 2.27153i −0.327746 + 0.238122i
\(92\) 0.921220 + 1.80800i 0.0960439 + 0.188497i
\(93\) −16.1523 0.212830i −1.67492 0.0220694i
\(94\) 1.26031 + 0.409498i 0.129991 + 0.0422365i
\(95\) −8.02703 + 12.7909i −0.823556 + 1.31232i
\(96\) 1.53277 + 0.806599i 0.156438 + 0.0823232i
\(97\) −4.82956 + 9.47854i −0.490367 + 0.962400i 0.504709 + 0.863290i \(0.331600\pi\)
−0.995076 + 0.0991108i \(0.968400\pi\)
\(98\) −0.466817 2.94737i −0.0471557 0.297729i
\(99\) −0.319074 + 12.1057i −0.0320681 + 1.21666i
\(100\) −4.92065 0.887255i −0.492065 0.0887255i
\(101\) 11.9603i 1.19010i 0.803690 + 0.595048i \(0.202867\pi\)
−0.803690 + 0.595048i \(0.797133\pi\)
\(102\) 4.07250 5.45276i 0.403237 0.539904i
\(103\) 2.58470 + 1.31697i 0.254678 + 0.129765i 0.576669 0.816978i \(-0.304352\pi\)
−0.321991 + 0.946743i \(0.604352\pi\)
\(104\) −0.595926 1.83407i −0.0584353 0.179845i
\(105\) 5.77997 + 5.17980i 0.564067 + 0.505497i
\(106\) −3.37758 + 10.3951i −0.328060 + 1.00966i
\(107\) 10.4011 10.4011i 1.00551 1.00551i 0.00552544 0.999985i \(-0.498241\pi\)
0.999985 0.00552544i \(-0.00175881\pi\)
\(108\) −4.87452 1.79973i −0.469051 0.173179i
\(109\) −7.36263 10.1338i −0.705212 0.970641i −0.999887 0.0150436i \(-0.995211\pi\)
0.294675 0.955598i \(-0.404789\pi\)
\(110\) 6.80068 + 5.93484i 0.648419 + 0.565865i
\(111\) −1.58926 10.9676i −0.150846 1.04100i
\(112\) −1.97930 0.313490i −0.187026 0.0296220i
\(113\) −14.3852 2.27840i −1.35325 0.214333i −0.562663 0.826686i \(-0.690223\pi\)
−0.790585 + 0.612353i \(0.790223\pi\)
\(114\) 1.67747 + 11.5763i 0.157109 + 1.08422i
\(115\) −4.51931 0.404185i −0.421428 0.0376904i
\(116\) −3.41843 4.70506i −0.317393 0.436854i
\(117\) 2.48977 + 5.22221i 0.230179 + 0.482794i
\(118\) 3.33838 3.33838i 0.307323 0.307323i
\(119\) −2.43325 + 7.48877i −0.223056 + 0.686495i
\(120\) −3.34955 + 1.94436i −0.305771 + 0.177495i
\(121\) −1.63603 5.03519i −0.148730 0.457744i
\(122\) −0.477622 0.243360i −0.0432418 0.0220328i
\(123\) 1.33474 1.78711i 0.120349 0.161138i
\(124\) 9.32637i 0.837533i
\(125\) 7.52912 8.26513i 0.673425 0.739255i
\(126\) 6.00982 + 0.158403i 0.535397 + 0.0141117i
\(127\) 0.572870 + 3.61696i 0.0508340 + 0.320953i 0.999981 + 0.00612070i \(0.00194829\pi\)
−0.949147 + 0.314832i \(0.898052\pi\)
\(128\) 0.453990 0.891007i 0.0401275 0.0787546i
\(129\) −14.5006 7.63074i −1.27671 0.671849i
\(130\) 4.18205 + 1.05128i 0.366790 + 0.0922037i
\(131\) −2.34952 0.763407i −0.205279 0.0666992i 0.204573 0.978851i \(-0.434420\pi\)
−0.409852 + 0.912152i \(0.634420\pi\)
\(132\) 6.99103 + 0.0921166i 0.608491 + 0.00801772i
\(133\) −6.14410 12.0585i −0.532761 1.04560i
\(134\) −1.22666 + 0.891220i −0.105967 + 0.0769897i
\(135\) 9.20253 7.09320i 0.792027 0.610485i
\(136\) −3.17886 2.30957i −0.272585 0.198044i
\(137\) 0.709676 4.48072i 0.0606317 0.382814i −0.938648 0.344876i \(-0.887921\pi\)
0.999280 0.0379379i \(-0.0120789\pi\)
\(138\) −2.87035 + 2.02820i −0.244341 + 0.172651i
\(139\) 3.37296 4.64248i 0.286091 0.393770i −0.641649 0.766999i \(-0.721749\pi\)
0.927739 + 0.373228i \(0.121749\pi\)
\(140\) 2.94633 3.37618i 0.249011 0.285339i
\(141\) −0.388893 + 2.26206i −0.0327507 + 0.190500i
\(142\) −0.487402 + 0.248344i −0.0409019 + 0.0208405i
\(143\) −5.50443 5.50443i −0.460304 0.460304i
\(144\) −1.00191 + 2.82775i −0.0834921 + 0.235646i
\(145\) 12.9745 0.882088i 1.07747 0.0732534i
\(146\) 7.10489 2.30852i 0.588005 0.191054i
\(147\) 4.93627 1.53229i 0.407137 0.126381i
\(148\) −6.31949 + 1.00091i −0.519459 + 0.0822742i
\(149\) −15.3490 −1.25744 −0.628720 0.777632i \(-0.716421\pi\)
−0.628720 + 0.777632i \(0.716421\pi\)
\(150\) 0.298648 8.65510i 0.0243845 0.706686i
\(151\) −22.6955 −1.84694 −0.923468 0.383676i \(-0.874658\pi\)
−0.923468 + 0.383676i \(0.874658\pi\)
\(152\) 6.67023 1.05646i 0.541027 0.0856902i
\(153\) 10.3584 + 5.62645i 0.837427 + 0.454872i
\(154\) −7.69335 + 2.49972i −0.619948 + 0.201433i
\(155\) −17.6642 11.0853i −1.41882 0.890392i
\(156\) 2.99585 1.47707i 0.239860 0.118260i
\(157\) 0.431200 + 0.431200i 0.0344135 + 0.0344135i 0.724104 0.689691i \(-0.242253\pi\)
−0.689691 + 0.724104i \(0.742253\pi\)
\(158\) 9.56420 4.87320i 0.760887 0.387691i
\(159\) −18.6577 3.20763i −1.47965 0.254382i
\(160\) 1.14796 + 1.91891i 0.0907539 + 0.151703i
\(161\) 2.39016 3.28977i 0.188371 0.259270i
\(162\) 1.87422 8.80269i 0.147253 0.691604i
\(163\) 3.70877 23.4163i 0.290493 1.83410i −0.221556 0.975148i \(-0.571114\pi\)
0.512049 0.858956i \(-0.328886\pi\)
\(164\) −1.04185 0.756950i −0.0813550 0.0591079i
\(165\) −8.48397 + 13.1315i −0.660476 + 1.02229i
\(166\) 2.72939 1.98302i 0.211842 0.153912i
\(167\) −1.54555 3.03330i −0.119598 0.234724i 0.823444 0.567397i \(-0.192050\pi\)
−0.943042 + 0.332673i \(0.892050\pi\)
\(168\) 0.0457310 3.47068i 0.00352823 0.267768i
\(169\) 8.82681 + 2.86800i 0.678986 + 0.220616i
\(170\) 8.15271 3.27561i 0.625285 0.251228i
\(171\) −19.4268 + 5.75086i −1.48560 + 0.439779i
\(172\) −4.29493 + 8.42926i −0.327485 + 0.642725i
\(173\) 0.203505 + 1.28488i 0.0154722 + 0.0976874i 0.994216 0.107399i \(-0.0342523\pi\)
−0.978744 + 0.205087i \(0.934252\pi\)
\(174\) 7.21606 7.02837i 0.547048 0.532820i
\(175\) 2.89248 + 9.59327i 0.218651 + 0.725183i
\(176\) 4.03662i 0.304272i
\(177\) 6.55170 + 4.89326i 0.492456 + 0.367800i
\(178\) 12.6506 + 6.44581i 0.948203 + 0.483134i
\(179\) 7.13852 + 21.9701i 0.533558 + 1.64212i 0.746744 + 0.665112i \(0.231616\pi\)
−0.213186 + 0.977012i \(0.568384\pi\)
\(180\) −4.16491 5.25866i −0.310434 0.391958i
\(181\) 5.01359 15.4302i 0.372657 1.14692i −0.572389 0.819983i \(-0.693983\pi\)
0.945046 0.326938i \(-0.106017\pi\)
\(182\) −2.73266 + 2.73266i −0.202558 + 0.202558i
\(183\) 0.298519 0.879162i 0.0220672 0.0649895i
\(184\) 1.19271 + 1.64163i 0.0879279 + 0.121022i
\(185\) 5.61560 13.1588i 0.412867 0.967454i
\(186\) −15.9868 + 2.31657i −1.17221 + 0.169859i
\(187\) −15.6658 2.48121i −1.14559 0.181444i
\(188\) 1.30885 + 0.207301i 0.0954576 + 0.0151190i
\(189\) 1.22125 + 10.3411i 0.0888329 + 0.752202i
\(190\) −5.92727 + 13.8891i −0.430009 + 1.00762i
\(191\) 3.27557 + 4.50844i 0.237012 + 0.326219i 0.910910 0.412606i \(-0.135381\pi\)
−0.673898 + 0.738825i \(0.735381\pi\)
\(192\) 1.64008 + 0.556890i 0.118363 + 0.0401901i
\(193\) −6.12138 + 6.12138i −0.440626 + 0.440626i −0.892222 0.451596i \(-0.850855\pi\)
0.451596 + 0.892222i \(0.350855\pi\)
\(194\) −3.28733 + 10.1174i −0.236016 + 0.726384i
\(195\) −0.763280 + 7.42977i −0.0546596 + 0.532057i
\(196\) −0.922140 2.83806i −0.0658671 0.202718i
\(197\) 15.7984 + 8.04970i 1.12559 + 0.573518i 0.914757 0.404004i \(-0.132382\pi\)
0.210834 + 0.977522i \(0.432382\pi\)
\(198\) 1.57860 + 12.0065i 0.112186 + 0.853267i
\(199\) 10.3594i 0.734359i 0.930150 + 0.367180i \(0.119677\pi\)
−0.930150 + 0.367180i \(0.880323\pi\)
\(200\) −4.99886 0.106572i −0.353473 0.00753580i
\(201\) −1.83237 1.88130i −0.129246 0.132697i
\(202\) 1.87101 + 11.8131i 0.131644 + 0.831165i
\(203\) −5.29109 + 10.3843i −0.371362 + 0.728838i
\(204\) 3.16936 6.02270i 0.221899 0.421674i
\(205\) 2.67201 1.07356i 0.186621 0.0749808i
\(206\) 2.75890 + 0.896420i 0.192221 + 0.0624565i
\(207\) −4.18959 4.41642i −0.291197 0.306963i
\(208\) −0.875501 1.71827i −0.0607050 0.119140i
\(209\) 22.0545 16.0235i 1.52554 1.10837i
\(210\) 6.51911 + 4.21184i 0.449861 + 0.290645i
\(211\) 17.8594 + 12.9756i 1.22949 + 0.893278i 0.996852 0.0792851i \(-0.0252638\pi\)
0.232640 + 0.972563i \(0.425264\pi\)
\(212\) −1.70984 + 10.7955i −0.117432 + 0.741439i
\(213\) −0.546764 0.773793i −0.0374636 0.0530194i
\(214\) 8.64594 11.9001i 0.591024 0.813475i
\(215\) −10.8601 18.1536i −0.740653 1.23806i
\(216\) −5.09605 1.01503i −0.346742 0.0690640i
\(217\) 16.6527 8.48497i 1.13046 0.575998i
\(218\) −8.85726 8.85726i −0.599889 0.599889i
\(219\) 5.72192 + 11.6054i 0.386652 + 0.784222i
\(220\) 7.64536 + 4.79791i 0.515450 + 0.323475i
\(221\) −7.20658 + 2.34156i −0.484767 + 0.157510i
\(222\) −3.28540 10.5839i −0.220502 0.710346i
\(223\) 14.8047 2.34483i 0.991395 0.157022i 0.360391 0.932801i \(-0.382643\pi\)
0.631004 + 0.775780i \(0.282643\pi\)
\(224\) −2.00397 −0.133896
\(225\) 14.9103 1.63791i 0.994020 0.109194i
\(226\) −14.5645 −0.968819
\(227\) −3.77582 + 0.598031i −0.250610 + 0.0396927i −0.280475 0.959861i \(-0.590492\pi\)
0.0298656 + 0.999554i \(0.490492\pi\)
\(228\) 3.46774 + 11.1713i 0.229657 + 0.739840i
\(229\) −21.4172 + 6.95886i −1.41529 + 0.459854i −0.914101 0.405486i \(-0.867102\pi\)
−0.501185 + 0.865340i \(0.667102\pi\)
\(230\) −4.52689 + 0.307767i −0.298495 + 0.0202935i
\(231\) −6.19584 12.5666i −0.407656 0.826823i
\(232\) −4.11237 4.11237i −0.269990 0.269990i
\(233\) 15.3187 7.80526i 1.00356 0.511340i 0.126626 0.991950i \(-0.459585\pi\)
0.876934 + 0.480611i \(0.159585\pi\)
\(234\) 3.27605 + 4.76843i 0.214162 + 0.311722i
\(235\) −1.94832 + 2.23256i −0.127094 + 0.145636i
\(236\) 2.77504 3.81952i 0.180640 0.248630i
\(237\) 10.7290 + 15.1840i 0.696926 + 0.986307i
\(238\) −1.23179 + 7.77722i −0.0798451 + 0.504122i
\(239\) −2.77696 2.01758i −0.179626 0.130506i 0.494339 0.869269i \(-0.335410\pi\)
−0.673965 + 0.738763i \(0.735410\pi\)
\(240\) −3.00415 + 2.44440i −0.193917 + 0.157786i
\(241\) −6.92845 + 5.03381i −0.446300 + 0.324256i −0.788133 0.615505i \(-0.788952\pi\)
0.341833 + 0.939761i \(0.388952\pi\)
\(242\) −2.40357 4.71726i −0.154507 0.303237i
\(243\) 15.5546 + 1.02620i 0.997831 + 0.0658306i
\(244\) −0.509811 0.165648i −0.0326373 0.0106045i
\(245\) 6.47133 + 1.62677i 0.413438 + 0.103930i
\(246\) 1.03874 1.97391i 0.0662276 0.125852i
\(247\) 5.91258 11.6041i 0.376209 0.738351i
\(248\) 1.45897 + 9.21155i 0.0926444 + 0.584934i
\(249\) 4.07714 + 4.18602i 0.258378 + 0.265278i
\(250\) 6.14348 9.34118i 0.388548 0.590788i
\(251\) 11.9423i 0.753789i 0.926256 + 0.376894i \(0.123008\pi\)
−0.926256 + 0.376894i \(0.876992\pi\)
\(252\) 5.96061 0.783690i 0.375483 0.0493678i
\(253\) 7.29820 + 3.71862i 0.458834 + 0.233787i
\(254\) 1.13163 + 3.48281i 0.0710050 + 0.218531i
\(255\) 7.63993 + 13.1613i 0.478431 + 0.824194i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 2.09358 2.09358i 0.130594 0.130594i −0.638789 0.769382i \(-0.720564\pi\)
0.769382 + 0.638789i \(0.220564\pi\)
\(258\) −15.5158 5.26839i −0.965973 0.327996i
\(259\) 7.53654 + 10.3732i 0.468298 + 0.644556i
\(260\) 4.29501 + 0.384125i 0.266366 + 0.0238224i
\(261\) 13.8401 + 10.6236i 0.856679 + 0.657586i
\(262\) −2.44002 0.386461i −0.150745 0.0238757i
\(263\) 22.4419 + 3.55445i 1.38383 + 0.219177i 0.803547 0.595241i \(-0.202943\pi\)
0.580279 + 0.814418i \(0.302943\pi\)
\(264\) 6.91936 1.00265i 0.425857 0.0617091i
\(265\) −18.4144 16.0699i −1.13119 0.987169i
\(266\) −7.95482 10.9489i −0.487741 0.671318i
\(267\) −7.90679 + 23.2861i −0.483887 + 1.42509i
\(268\) −1.07214 + 1.07214i −0.0654913 + 0.0654913i
\(269\) 3.72777 11.4729i 0.227286 0.699515i −0.770765 0.637119i \(-0.780126\pi\)
0.998051 0.0623960i \(-0.0198742\pi\)
\(270\) 7.97961 8.44546i 0.485623 0.513975i
\(271\) 2.54786 + 7.84151i 0.154772 + 0.476338i 0.998138 0.0610015i \(-0.0194294\pi\)
−0.843366 + 0.537339i \(0.819429\pi\)
\(272\) −3.50102 1.78386i −0.212280 0.108162i
\(273\) −5.36295 4.00542i −0.324580 0.242419i
\(274\) 4.53657i 0.274064i
\(275\) −18.1745 + 8.77755i −1.09596 + 0.529306i
\(276\) −2.51773 + 2.45225i −0.151550 + 0.147608i
\(277\) 1.31490 + 8.30193i 0.0790045 + 0.498815i 0.995182 + 0.0980425i \(0.0312581\pi\)
−0.916178 + 0.400772i \(0.868742\pi\)
\(278\) 2.60519 5.11297i 0.156249 0.306656i
\(279\) −7.94190 26.8283i −0.475469 1.60617i
\(280\) 2.38191 3.79552i 0.142346 0.226826i
\(281\) 0.214763 + 0.0697807i 0.0128117 + 0.00416277i 0.315416 0.948954i \(-0.397856\pi\)
−0.302604 + 0.953116i \(0.597856\pi\)
\(282\) −0.0302405 + 2.29505i −0.00180080 + 0.136668i
\(283\) −10.2206 20.0591i −0.607554 1.19239i −0.965927 0.258813i \(-0.916669\pi\)
0.358374 0.933578i \(-0.383331\pi\)
\(284\) −0.442552 + 0.321533i −0.0262606 + 0.0190795i
\(285\) −25.2803 6.71030i −1.49747 0.397484i
\(286\) −6.29775 4.57558i −0.372394 0.270560i
\(287\) −0.403712 + 2.54894i −0.0238304 + 0.150459i
\(288\) −0.547212 + 2.94967i −0.0322448 + 0.173811i
\(289\) 0.917376 1.26266i 0.0539633 0.0742741i
\(290\) 12.6768 2.90089i 0.744406 0.170346i
\(291\) −18.1592 3.12192i −1.06451 0.183010i
\(292\) 6.65629 3.39155i 0.389530 0.198475i
\(293\) −7.91375 7.91375i −0.462326 0.462326i 0.437091 0.899417i \(-0.356009\pi\)
−0.899417 + 0.437091i \(0.856009\pi\)
\(294\) 4.63580 2.28563i 0.270365 0.133301i
\(295\) 3.93577 + 9.79580i 0.229149 + 0.570334i
\(296\) −6.08511 + 1.97717i −0.353690 + 0.114921i
\(297\) −20.1889 + 5.68825i −1.17148 + 0.330066i
\(298\) −15.1600 + 2.40111i −0.878197 + 0.139093i
\(299\) 3.91315 0.226303
\(300\) −1.05899 8.59526i −0.0611406 0.496248i
\(301\) 18.9583 1.09274
\(302\) −22.4161 + 3.55036i −1.28990 + 0.204300i
\(303\) −19.7846 + 6.14143i −1.13660 + 0.352816i
\(304\) 6.42284 2.08691i 0.368375 0.119692i
\(305\) 0.919696 0.768695i 0.0526617 0.0440153i
\(306\) 11.1110 + 3.93677i 0.635176 + 0.225050i
\(307\) −7.00526 7.00526i −0.399811 0.399811i 0.478355 0.878166i \(-0.341233\pi\)
−0.878166 + 0.478355i \(0.841233\pi\)
\(308\) −7.20759 + 3.67245i −0.410690 + 0.209257i
\(309\) −0.851315 + 4.95182i −0.0484296 + 0.281699i
\(310\) −19.1808 8.18552i −1.08940 0.464907i
\(311\) 7.14665 9.83652i 0.405249 0.557778i −0.556802 0.830645i \(-0.687972\pi\)
0.962052 + 0.272867i \(0.0879719\pi\)
\(312\) 2.72790 1.92754i 0.154437 0.109125i
\(313\) −3.84643 + 24.2854i −0.217413 + 1.37269i 0.601545 + 0.798839i \(0.294552\pi\)
−0.818958 + 0.573853i \(0.805448\pi\)
\(314\) 0.493346 + 0.358437i 0.0278411 + 0.0202278i
\(315\) −5.60044 + 12.2209i −0.315549 + 0.688569i
\(316\) 8.68411 6.30938i 0.488519 0.354930i
\(317\) −4.73623 9.29537i −0.266013 0.522080i 0.718904 0.695110i \(-0.244644\pi\)
−0.984917 + 0.173030i \(0.944644\pi\)
\(318\) −18.9298 0.249427i −1.06153 0.0139872i
\(319\) −22.3271 7.25450i −1.25008 0.406174i
\(320\) 1.43401 + 1.71570i 0.0801634 + 0.0959106i
\(321\) 22.5461 + 11.8645i 1.25840 + 0.662215i
\(322\) 1.84610 3.62317i 0.102879 0.201911i
\(323\) −4.15113 26.2092i −0.230975 1.45832i
\(324\) 0.474104 8.98750i 0.0263391 0.499306i
\(325\) −5.83257 + 7.67819i −0.323533 + 0.425910i
\(326\) 23.7082i 1.31307i
\(327\) 12.9826 17.3827i 0.717939 0.961266i
\(328\) −1.14744 0.584649i −0.0633567 0.0322818i
\(329\) −0.820621 2.52561i −0.0452423 0.139242i
\(330\) −6.32530 + 14.2970i −0.348196 + 0.787026i
\(331\) 5.72324 17.6143i 0.314578 0.968170i −0.661350 0.750077i \(-0.730016\pi\)
0.975928 0.218093i \(-0.0699837\pi\)
\(332\) 2.38558 2.38558i 0.130926 0.130926i
\(333\) 17.3263 8.26060i 0.949478 0.452678i
\(334\) −2.00103 2.75418i −0.109492 0.150702i
\(335\) −0.756293 3.30497i −0.0413207 0.180570i
\(336\) −0.497765 3.43510i −0.0271553 0.187400i
\(337\) 11.7295 + 1.85777i 0.638947 + 0.101199i 0.467498 0.883994i \(-0.345155\pi\)
0.171448 + 0.985193i \(0.445155\pi\)
\(338\) 9.16679 + 1.45188i 0.498608 + 0.0789717i
\(339\) −3.61768 24.9658i −0.196485 1.35595i
\(340\) 7.53992 4.51064i 0.408910 0.244624i
\(341\) 22.1284 + 30.4571i 1.19832 + 1.64934i
\(342\) −18.2880 + 8.71907i −0.988901 + 0.471473i
\(343\) −14.1477 + 14.1477i −0.763903 + 0.763903i
\(344\) −2.92342 + 8.99736i −0.157620 + 0.485105i
\(345\) −1.65199 7.68332i −0.0889402 0.413656i
\(346\) 0.401998 + 1.23722i 0.0216115 + 0.0665135i
\(347\) −6.98295 3.55799i −0.374864 0.191003i 0.256400 0.966571i \(-0.417464\pi\)
−0.631264 + 0.775568i \(0.717464\pi\)
\(348\) 6.02774 8.07068i 0.323121 0.432634i
\(349\) 9.37804i 0.501995i −0.967988 0.250997i \(-0.919241\pi\)
0.967988 0.250997i \(-0.0807586\pi\)
\(350\) 4.35759 + 9.02268i 0.232923 + 0.482282i
\(351\) −7.36006 + 6.80006i −0.392851 + 0.362961i
\(352\) −0.631467 3.98692i −0.0336573 0.212504i
\(353\) −6.61368 + 12.9801i −0.352010 + 0.690859i −0.997328 0.0730551i \(-0.976725\pi\)
0.645317 + 0.763915i \(0.276725\pi\)
\(354\) 7.23652 + 3.80811i 0.384616 + 0.202399i
\(355\) −0.0829681 1.22037i −0.00440349 0.0647703i
\(356\) 13.5032 + 4.38746i 0.715669 + 0.232535i
\(357\) −13.6373 0.179690i −0.721761 0.00951021i
\(358\) 10.4875 + 20.5829i 0.554283 + 1.08784i
\(359\) 9.55110 6.93928i 0.504088 0.366241i −0.306488 0.951874i \(-0.599154\pi\)
0.810576 + 0.585633i \(0.199154\pi\)
\(360\) −4.93627 4.54239i −0.260164 0.239405i
\(361\) 21.5264 + 15.6398i 1.13297 + 0.823148i
\(362\) 2.53804 16.0246i 0.133397 0.842233i
\(363\) 7.48907 5.29179i 0.393074 0.277747i
\(364\) −2.27153 + 3.12650i −0.119061 + 0.163873i
\(365\) −1.48804 + 16.6382i −0.0778875 + 0.870883i
\(366\) 0.157313 0.915037i 0.00822287 0.0478297i
\(367\) −2.40607 + 1.22595i −0.125596 + 0.0639943i −0.515659 0.856794i \(-0.672453\pi\)
0.390064 + 0.920788i \(0.372453\pi\)
\(368\) 1.43483 + 1.43483i 0.0747959 + 0.0747959i
\(369\) 3.64158 + 1.29025i 0.189573 + 0.0671679i
\(370\) 3.48797 13.8753i 0.181331 0.721340i
\(371\) 20.8315 6.76857i 1.08152 0.351407i
\(372\) −15.4276 + 4.78894i −0.799882 + 0.248295i
\(373\) −21.1854 + 3.35543i −1.09694 + 0.173738i −0.678566 0.734539i \(-0.737398\pi\)
−0.418370 + 0.908277i \(0.637398\pi\)
\(374\) −15.8610 −0.820154
\(375\) 17.5381 + 8.21057i 0.905666 + 0.423992i
\(376\) 1.32516 0.0683401
\(377\) −11.0774 + 1.75448i −0.570514 + 0.0903605i
\(378\) 2.82391 + 10.0227i 0.145246 + 0.515512i
\(379\) −10.0630 + 3.26966i −0.516901 + 0.167951i −0.555838 0.831290i \(-0.687603\pi\)
0.0389376 + 0.999242i \(0.487603\pi\)
\(380\) −3.68156 + 14.6454i −0.188860 + 0.751291i
\(381\) −5.68896 + 2.80488i −0.291454 + 0.143698i
\(382\) 3.94052 + 3.94052i 0.201614 + 0.201614i
\(383\) −0.124163 + 0.0632642i −0.00634444 + 0.00323265i −0.457160 0.889385i \(-0.651133\pi\)
0.450815 + 0.892617i \(0.351133\pi\)
\(384\) 1.70701 + 0.293468i 0.0871104 + 0.0149760i
\(385\) 1.61128 18.0162i 0.0821187 0.918192i
\(386\) −5.08842 + 7.00360i −0.258994 + 0.356474i
\(387\) 5.17684 27.9050i 0.263153 1.41849i
\(388\) −1.66415 + 10.5070i −0.0844846 + 0.533415i
\(389\) −28.0002 20.3434i −1.41967 1.03145i −0.991826 0.127596i \(-0.959274\pi\)
−0.427842 0.903854i \(-0.640726\pi\)
\(390\) 0.408390 + 7.45770i 0.0206796 + 0.377635i
\(391\) 6.45042 4.68650i 0.326212 0.237007i
\(392\) −1.35476 2.65886i −0.0684255 0.134293i
\(393\) 0.0563759 4.27855i 0.00284379 0.215824i
\(394\) 16.8632 + 5.47918i 0.849555 + 0.276037i
\(395\) 1.62807 + 23.9470i 0.0819170 + 1.20490i
\(396\) 3.43740 + 11.6118i 0.172736 + 0.583513i
\(397\) 13.8341 27.1510i 0.694315 1.36267i −0.227017 0.973891i \(-0.572897\pi\)
0.921331 0.388778i \(-0.127103\pi\)
\(398\) 1.62057 + 10.2319i 0.0812318 + 0.512877i
\(399\) 16.7921 16.3553i 0.840656 0.818790i
\(400\) −4.95399 + 0.676734i −0.247700 + 0.0338367i
\(401\) 0.718503i 0.0358803i −0.999839 0.0179402i \(-0.994289\pi\)
0.999839 0.0179402i \(-0.00571084\pi\)
\(402\) −2.10411 1.57150i −0.104944 0.0783791i
\(403\) 16.0252 + 8.16524i 0.798272 + 0.406740i
\(404\) 3.69594 + 11.3749i 0.183880 + 0.565925i
\(405\) 16.4588 + 11.5805i 0.817846 + 0.575438i
\(406\) −3.60148 + 11.0842i −0.178738 + 0.550100i
\(407\) −18.2627 + 18.2627i −0.905248 + 0.905248i
\(408\) 2.18818 6.44435i 0.108331 0.319043i
\(409\) 1.73765 + 2.39167i 0.0859211 + 0.118260i 0.849814 0.527083i \(-0.176714\pi\)
−0.763893 + 0.645343i \(0.776714\pi\)
\(410\) 2.47117 1.47834i 0.122042 0.0730099i
\(411\) 7.77635 1.12684i 0.383579 0.0555828i
\(412\) 2.86516 + 0.453797i 0.141156 + 0.0223570i
\(413\) −9.34463 1.48004i −0.459819 0.0728282i
\(414\) −4.82889 3.70665i −0.237327 0.182172i
\(415\) 1.68280 + 7.35377i 0.0826053 + 0.360982i
\(416\) −1.13352 1.56015i −0.0555753 0.0764928i
\(417\) 9.41149 + 3.19567i 0.460883 + 0.156493i
\(418\) 19.2763 19.2763i 0.942835 0.942835i
\(419\) 0.976706 3.00599i 0.0477152 0.146852i −0.924360 0.381521i \(-0.875400\pi\)
0.972075 + 0.234668i \(0.0754005\pi\)
\(420\) 7.09772 + 3.14018i 0.346333 + 0.153225i
\(421\) −3.57566 11.0047i −0.174267 0.536338i 0.825332 0.564647i \(-0.190988\pi\)
−0.999599 + 0.0283089i \(0.990988\pi\)
\(422\) 19.6694 + 10.0220i 0.957489 + 0.487865i
\(423\) −3.94157 + 0.518230i −0.191646 + 0.0251972i
\(424\) 10.9301i 0.530812i
\(425\) −0.418753 + 19.6420i −0.0203125 + 0.952775i
\(426\) −0.661080 0.678734i −0.0320294 0.0328848i
\(427\) 0.168045 + 1.06100i 0.00813228 + 0.0513452i
\(428\) 6.67790 13.1061i 0.322789 0.633508i
\(429\) 6.27893 11.9318i 0.303149 0.576073i
\(430\) −13.5662 16.2312i −0.654223 0.782737i
\(431\) −24.8006 8.05821i −1.19460 0.388150i −0.356831 0.934169i \(-0.616143\pi\)
−0.837773 + 0.546019i \(0.816143\pi\)
\(432\) −5.19209 0.205335i −0.249805 0.00987916i
\(433\) 6.52479 + 12.8056i 0.313561 + 0.615399i 0.992971 0.118361i \(-0.0377639\pi\)
−0.679409 + 0.733759i \(0.737764\pi\)
\(434\) 15.1203 10.9856i 0.725799 0.527324i
\(435\) 8.12133 + 21.0093i 0.389388 + 1.00732i
\(436\) −10.1338 7.36263i −0.485321 0.352606i
\(437\) −2.14373 + 13.5350i −0.102548 + 0.647466i
\(438\) 7.46697 + 10.5674i 0.356785 + 0.504932i
\(439\) 2.49050 3.42787i 0.118865 0.163604i −0.745438 0.666575i \(-0.767760\pi\)
0.864303 + 0.502971i \(0.167760\pi\)
\(440\) 8.30180 + 3.54284i 0.395773 + 0.168898i
\(441\) 5.06939 + 7.37871i 0.241399 + 0.351367i
\(442\) −6.75156 + 3.44009i −0.321139 + 0.163628i
\(443\) 18.5118 + 18.5118i 0.879523 + 0.879523i 0.993485 0.113962i \(-0.0363542\pi\)
−0.113962 + 0.993485i \(0.536354\pi\)
\(444\) −4.90064 9.93967i −0.232574 0.471716i
\(445\) −24.3597 + 20.3602i −1.15476 + 0.965165i
\(446\) 14.2556 4.63193i 0.675022 0.219328i
\(447\) −7.88146 25.3901i −0.372780 1.20091i
\(448\) −1.97930 + 0.313490i −0.0935130 + 0.0148110i
\(449\) −36.0779 −1.70262 −0.851311 0.524662i \(-0.824192\pi\)
−0.851311 + 0.524662i \(0.824192\pi\)
\(450\) 14.4705 3.95023i 0.682146 0.186216i
\(451\) −5.19836 −0.244781
\(452\) −14.3852 + 2.27840i −0.676624 + 0.107167i
\(453\) −11.6538 37.5426i −0.547542 1.76391i
\(454\) −3.63578 + 1.18134i −0.170635 + 0.0554428i
\(455\) −3.22166 8.01843i −0.151034 0.375910i
\(456\) 5.17263 + 10.4913i 0.242231 + 0.491301i
\(457\) 12.7889 + 12.7889i 0.598241 + 0.598241i 0.939844 0.341604i \(-0.110970\pi\)
−0.341604 + 0.939844i \(0.610970\pi\)
\(458\) −20.0649 + 10.2236i −0.937570 + 0.477716i
\(459\) −3.98834 + 20.0238i −0.186160 + 0.934632i
\(460\) −4.42302 + 1.01214i −0.206224 + 0.0471913i
\(461\) −10.1363 + 13.9514i −0.472092 + 0.649779i −0.976961 0.213417i \(-0.931541\pi\)
0.504869 + 0.863196i \(0.331541\pi\)
\(462\) −8.08541 11.4427i −0.376167 0.532361i
\(463\) −0.946894 + 5.97845i −0.0440059 + 0.277842i −0.999873 0.0159582i \(-0.994920\pi\)
0.955867 + 0.293800i \(0.0949201\pi\)
\(464\) −4.70506 3.41843i −0.218427 0.158696i
\(465\) 9.26688 34.9119i 0.429741 1.61900i
\(466\) 13.9091 10.1055i 0.644325 0.468130i
\(467\) 0.901038 + 1.76839i 0.0416951 + 0.0818311i 0.910914 0.412596i \(-0.135378\pi\)
−0.869219 + 0.494427i \(0.835378\pi\)
\(468\) 3.98166 + 4.19724i 0.184053 + 0.194017i
\(469\) 2.88977 + 0.938944i 0.133437 + 0.0433564i
\(470\) −1.57508 + 2.50986i −0.0726532 + 0.115771i
\(471\) −0.491872 + 0.934700i −0.0226643 + 0.0430687i
\(472\) 2.14337 4.20661i 0.0986568 0.193625i
\(473\) 5.97392 + 37.7178i 0.274681 + 1.73427i
\(474\) 12.9722 + 13.3187i 0.595835 + 0.611747i
\(475\) −23.3624 24.3803i −1.07194 1.11864i
\(476\) 7.87416i 0.360912i
\(477\) −4.27442 32.5105i −0.195712 1.48855i
\(478\) −3.05839 1.55833i −0.139887 0.0712762i
\(479\) 10.9260 + 33.6268i 0.499222 + 1.53645i 0.810273 + 0.586053i \(0.199319\pi\)
−0.311051 + 0.950393i \(0.600681\pi\)
\(480\) −2.58477 + 2.88426i −0.117978 + 0.131648i
\(481\) −3.81289 + 11.7349i −0.173853 + 0.535064i
\(482\) −6.05568 + 6.05568i −0.275829 + 0.275829i
\(483\) 6.66920 + 2.26453i 0.303459 + 0.103039i
\(484\) −3.11192 4.28319i −0.141451 0.194690i
\(485\) −17.9224 15.6405i −0.813812 0.710200i
\(486\) 15.5237 1.41972i 0.704168 0.0643998i
\(487\) 24.6253 + 3.90026i 1.11588 + 0.176738i 0.687023 0.726636i \(-0.258917\pi\)
0.428855 + 0.903373i \(0.358917\pi\)
\(488\) −0.529448 0.0838563i −0.0239670 0.00379599i
\(489\) 40.6393 5.88886i 1.83777 0.266303i
\(490\) 6.64614 + 0.594399i 0.300242 + 0.0268522i
\(491\) −3.22682 4.44133i −0.145624 0.200434i 0.729974 0.683475i \(-0.239532\pi\)
−0.875598 + 0.483041i \(0.839532\pi\)
\(492\) 0.717163 2.11210i 0.0323322 0.0952208i
\(493\) −16.1587 + 16.1587i −0.727750 + 0.727750i
\(494\) 4.02451 12.3862i 0.181071 0.557280i
\(495\) −26.0784 7.29126i −1.17214 0.327718i
\(496\) 2.88201 + 8.86991i 0.129406 + 0.398271i
\(497\) 0.976739 + 0.497673i 0.0438127 + 0.0223237i
\(498\) 4.68178 + 3.49668i 0.209796 + 0.156690i
\(499\) 0.383555i 0.0171703i 0.999963 + 0.00858514i \(0.00273277\pi\)
−0.999963 + 0.00858514i \(0.997267\pi\)
\(500\) 4.60656 10.1872i 0.206012 0.455587i
\(501\) 4.22404 4.11417i 0.188716 0.183808i
\(502\) 1.86818 + 11.7952i 0.0833810 + 0.526447i
\(503\) 3.58816 7.04217i 0.159988 0.313995i −0.797072 0.603885i \(-0.793619\pi\)
0.957060 + 0.289890i \(0.0936187\pi\)
\(504\) 5.76463 1.70649i 0.256777 0.0760129i
\(505\) −25.9371 6.52009i −1.15419 0.290140i
\(506\) 7.79006 + 2.53115i 0.346311 + 0.112523i
\(507\) −0.211796 + 16.0739i −0.00940619 + 0.713866i
\(508\) 1.66253 + 3.26290i 0.0737630 + 0.144768i
\(509\) 20.5303 14.9162i 0.909990 0.661147i −0.0310220 0.999519i \(-0.509876\pi\)
0.941012 + 0.338372i \(0.109876\pi\)
\(510\) 9.60475 + 11.8041i 0.425305 + 0.522696i
\(511\) −12.1116 8.79956i −0.535784 0.389270i
\(512\) 0.156434 0.987688i 0.00691349 0.0436501i
\(513\) −19.4883 29.1826i −0.860430 1.28844i
\(514\) 1.74029 2.39531i 0.0767611 0.105653i
\(515\) −4.26501 + 4.88724i −0.187939 + 0.215357i
\(516\) −16.1490 2.77632i −0.710918 0.122221i
\(517\) 4.76616 2.42848i 0.209615 0.106804i
\(518\) 9.06647 + 9.06647i 0.398358 + 0.398358i
\(519\) −2.02093 + 0.996397i −0.0887090 + 0.0437370i
\(520\) 4.30223 0.292492i 0.188665 0.0128266i
\(521\) −19.7375 + 6.41311i −0.864716 + 0.280963i −0.707597 0.706616i \(-0.750221\pi\)
−0.157119 + 0.987580i \(0.550221\pi\)
\(522\) 15.3316 + 8.32777i 0.671045 + 0.364496i
\(523\) 17.5234 2.77544i 0.766246 0.121361i 0.238937 0.971035i \(-0.423201\pi\)
0.527309 + 0.849674i \(0.323201\pi\)
\(524\) −2.47044 −0.107922
\(525\) −14.3838 + 9.71069i −0.627761 + 0.423809i
\(526\) 22.7216 0.990710
\(527\) 36.1948 5.73269i 1.57667 0.249720i
\(528\) 6.67733 2.07274i 0.290593 0.0902043i
\(529\) 17.9583 5.83501i 0.780797 0.253696i
\(530\) −20.7016 12.9914i −0.899220 0.564313i
\(531\) −4.73018 + 13.3504i −0.205272 + 0.579356i
\(532\) −9.56966 9.56966i −0.414898 0.414898i
\(533\) −2.21278 + 1.12747i −0.0958463 + 0.0488361i
\(534\) −4.16669 + 24.2363i −0.180311 + 1.04881i
\(535\) 16.8857 + 28.2258i 0.730032 + 1.22031i
\(536\) −0.891220 + 1.22666i −0.0384948 + 0.0529836i
\(537\) −32.6772 + 23.0897i −1.41012 + 0.996396i
\(538\) 1.88712 11.9148i 0.0813595 0.513684i
\(539\) −9.74519 7.08029i −0.419755 0.304970i
\(540\) 6.56020 9.58977i 0.282306 0.412678i
\(541\) 10.0053 7.26924i 0.430160 0.312529i −0.351553 0.936168i \(-0.614346\pi\)
0.781713 + 0.623639i \(0.214346\pi\)
\(542\) 3.74318 + 7.34640i 0.160783 + 0.315555i
\(543\) 28.0989 + 0.370243i 1.20584 + 0.0158886i
\(544\) −3.73697 1.21422i −0.160221 0.0520591i
\(545\) 25.9898 10.4422i 1.11328 0.447296i
\(546\) −5.92351 3.11716i −0.253503 0.133402i
\(547\) −12.0831 + 23.7144i −0.516636 + 1.01396i 0.474393 + 0.880313i \(0.342667\pi\)
−0.991030 + 0.133643i \(0.957333\pi\)
\(548\) −0.709676 4.48072i −0.0303159 0.191407i
\(549\) 1.60758 + 0.0423717i 0.0686100 + 0.00180838i
\(550\) −16.5776 + 11.5126i −0.706872 + 0.490899i
\(551\) 39.2761i 1.67322i
\(552\) −2.10312 + 2.81592i −0.0895147 + 0.119853i
\(553\) −19.1664 9.76575i −0.815036 0.415282i
\(554\) 2.59742 + 7.99403i 0.110354 + 0.339634i
\(555\) 24.6506 + 2.53242i 1.04636 + 0.107495i
\(556\) 1.77327 5.45757i 0.0752034 0.231452i
\(557\) 28.3195 28.3195i 1.19993 1.19993i 0.225748 0.974186i \(-0.427517\pi\)
0.974186 0.225748i \(-0.0724825\pi\)
\(558\) −12.0410 25.2556i −0.509736 1.06915i
\(559\) 10.7235 + 14.7597i 0.453556 + 0.624267i
\(560\) 1.75883 4.12140i 0.0743243 0.174161i
\(561\) −3.93971 27.1881i −0.166335 1.14788i
\(562\) 0.223035 + 0.0353253i 0.00940816 + 0.00149011i
\(563\) −8.73181 1.38298i −0.368002 0.0582858i −0.0303051 0.999541i \(-0.509648\pi\)
−0.337697 + 0.941255i \(0.609648\pi\)
\(564\) 0.329157 + 2.27153i 0.0138600 + 0.0956485i
\(565\) 12.7829 29.9537i 0.537782 1.26016i
\(566\) −13.2327 18.2133i −0.556214 0.765563i
\(567\) −16.4790 + 7.33014i −0.692051 + 0.307837i
\(568\) −0.386804 + 0.386804i −0.0162300 + 0.0162300i
\(569\) 7.02196 21.6114i 0.294376 0.905996i −0.689054 0.724710i \(-0.741974\pi\)
0.983430 0.181286i \(-0.0580261\pi\)
\(570\) −26.0188 2.67298i −1.08981 0.111959i
\(571\) −8.54837 26.3092i −0.357738 1.10101i −0.954405 0.298516i \(-0.903508\pi\)
0.596666 0.802489i \(-0.296492\pi\)
\(572\) −6.93599 3.53406i −0.290008 0.147767i
\(573\) −5.77584 + 7.73341i −0.241289 + 0.323068i
\(574\) 2.58071i 0.107717i
\(575\) 3.34018 9.58022i 0.139295 0.399523i
\(576\) −0.0790447 + 2.99896i −0.00329353 + 0.124957i
\(577\) 1.72432 + 10.8869i 0.0717842 + 0.453228i 0.997232 + 0.0743526i \(0.0236890\pi\)
−0.925448 + 0.378875i \(0.876311\pi\)
\(578\) 0.708558 1.39062i 0.0294721 0.0578423i
\(579\) −13.2691 6.98268i −0.551446 0.290190i
\(580\) 12.0669 4.84826i 0.501051 0.201313i
\(581\) −6.42992 2.08921i −0.266758 0.0866750i
\(582\) −18.4240 0.242762i −0.763699 0.0100628i
\(583\) 20.0303 + 39.3117i 0.829572 + 1.62813i
\(584\) 6.04378 4.39106i 0.250093 0.181704i
\(585\) −12.6822 + 2.55246i −0.524343 + 0.105531i
\(586\) −9.05430 6.57833i −0.374030 0.271749i
\(587\) −3.29168 + 20.7828i −0.135862 + 0.857800i 0.821773 + 0.569815i \(0.192985\pi\)
−0.957635 + 0.287985i \(0.907015\pi\)
\(588\) 4.22117 2.98269i 0.174078 0.123004i
\(589\) −37.0213 + 50.9555i −1.52544 + 2.09958i
\(590\) 5.41972 + 9.05951i 0.223126 + 0.372974i
\(591\) −5.20348 + 30.2669i −0.214043 + 1.24502i
\(592\) −5.70089 + 2.90475i −0.234305 + 0.119385i
\(593\) 10.8276 + 10.8276i 0.444635 + 0.444635i 0.893566 0.448931i \(-0.148195\pi\)
−0.448931 + 0.893566i \(0.648195\pi\)
\(594\) −19.0505 + 8.77645i −0.781650 + 0.360102i
\(595\) −14.9137 9.35920i −0.611401 0.383690i
\(596\) −14.5978 + 4.74310i −0.597948 + 0.194285i
\(597\) −17.1364 + 5.31939i −0.701346 + 0.217708i
\(598\) 3.86497 0.612151i 0.158050 0.0250327i
\(599\) 20.9614 0.856459 0.428230 0.903670i \(-0.359137\pi\)
0.428230 + 0.903670i \(0.359137\pi\)
\(600\) −2.39054 8.32378i −0.0975935 0.339817i
\(601\) −24.3199 −0.992029 −0.496015 0.868314i \(-0.665204\pi\)
−0.496015 + 0.868314i \(0.665204\pi\)
\(602\) 18.7249 2.96573i 0.763170 0.120874i
\(603\) 2.17114 3.99710i 0.0884156 0.162775i
\(604\) −21.5847 + 7.01330i −0.878270 + 0.285367i
\(605\) 11.8112 0.802997i 0.480192 0.0326465i
\(606\) −18.5803 + 9.16081i −0.754773 + 0.372133i
\(607\) −12.8780 12.8780i −0.522702 0.522702i 0.395685 0.918386i \(-0.370507\pi\)
−0.918386 + 0.395685i \(0.870507\pi\)
\(608\) 6.01730 3.06597i 0.244034 0.124341i
\(609\) −19.8945 3.42026i −0.806168 0.138596i
\(610\) 0.788123 0.903103i 0.0319102 0.0365656i
\(611\) 1.50210 2.06746i 0.0607683 0.0836404i
\(612\) 11.5901 + 2.15015i 0.468502 + 0.0869147i
\(613\) 1.91504 12.0911i 0.0773477 0.488354i −0.918356 0.395756i \(-0.870483\pi\)
0.995704 0.0925984i \(-0.0295173\pi\)
\(614\) −8.01488 5.82315i −0.323454 0.235003i
\(615\) 3.14790 + 3.86874i 0.126936 + 0.156003i
\(616\) −6.54435 + 4.75475i −0.263679 + 0.191574i
\(617\) −11.6432 22.8510i −0.468737 0.919948i −0.997465 0.0711569i \(-0.977331\pi\)
0.528728 0.848791i \(-0.322669\pi\)
\(618\) −0.0661986 + 5.02403i −0.00266290 + 0.202096i
\(619\) −28.2577 9.18149i −1.13577 0.369035i −0.320006 0.947415i \(-0.603685\pi\)
−0.815767 + 0.578380i \(0.803685\pi\)
\(620\) −20.2252 5.08421i −0.812262 0.204187i
\(621\) 5.15431 9.19813i 0.206835 0.369108i
\(622\) 5.51989 10.8334i 0.221328 0.434380i
\(623\) −4.45096 28.1023i −0.178324 1.12589i
\(624\) 2.39278 2.33054i 0.0957878 0.0932964i
\(625\) 13.8193 + 20.8333i 0.552772 + 0.833333i
\(626\) 24.5881i 0.982739i
\(627\) 37.8305 + 28.2544i 1.51080 + 1.12837i
\(628\) 0.543344 + 0.276848i 0.0216818 + 0.0110474i
\(629\) 7.76887 + 23.9101i 0.309765 + 0.953359i
\(630\) −3.61973 + 12.9465i −0.144213 + 0.515802i
\(631\) −0.858936 + 2.64353i −0.0341937 + 0.105237i −0.966697 0.255925i \(-0.917620\pi\)
0.932503 + 0.361162i \(0.117620\pi\)
\(632\) 7.59019 7.59019i 0.301922 0.301922i
\(633\) −12.2936 + 36.2055i −0.488626 + 1.43904i
\(634\) −6.13203 8.44002i −0.243534 0.335196i
\(635\) −8.15602 0.729435i −0.323662 0.0289468i
\(636\) −18.7358 + 2.71492i −0.742922 + 0.107654i
\(637\) −5.68387 0.900236i −0.225203 0.0356687i
\(638\) −23.1870 3.67247i −0.917984 0.145394i
\(639\) 0.999245 1.30178i 0.0395295 0.0514976i
\(640\) 1.68475 + 1.47025i 0.0665954 + 0.0581167i
\(641\) −18.3443 25.2487i −0.724554 0.997264i −0.999360 0.0357639i \(-0.988614\pi\)
0.274806 0.961500i \(-0.411386\pi\)
\(642\) 24.1246 + 8.19149i 0.952120 + 0.323292i
\(643\) 23.9422 23.9422i 0.944188 0.944188i −0.0543345 0.998523i \(-0.517304\pi\)
0.998523 + 0.0543345i \(0.0173037\pi\)
\(644\) 1.25658 3.86736i 0.0495162 0.152395i
\(645\) 24.4529 27.2862i 0.962833 1.07439i
\(646\) −8.20005 25.2372i −0.322627 0.992942i
\(647\) 0.500806 + 0.255174i 0.0196887 + 0.0100319i 0.463807 0.885936i \(-0.346483\pi\)
−0.444118 + 0.895968i \(0.646483\pi\)
\(648\) −0.937689 8.95102i −0.0368359 0.351629i
\(649\) 19.0576i 0.748078i
\(650\) −4.55963 + 8.49608i −0.178843 + 0.333244i
\(651\) 22.5866 + 23.1898i 0.885239 + 0.908879i
\(652\) −3.70877 23.4163i −0.145247 0.917052i
\(653\) 10.9835 21.5563i 0.429816 0.843562i −0.569944 0.821683i \(-0.693035\pi\)
0.999761 0.0218786i \(-0.00696474\pi\)
\(654\) 10.1035 19.1996i 0.395078 0.750764i
\(655\) 2.93635 4.67901i 0.114733 0.182824i
\(656\) −1.22477 0.397952i −0.0478193 0.0155374i
\(657\) −16.2594 + 15.4243i −0.634341 + 0.601760i
\(658\) −1.20561 2.36614i −0.0469996 0.0922419i
\(659\) −4.30697 + 3.12920i −0.167776 + 0.121896i −0.668505 0.743708i \(-0.733065\pi\)
0.500729 + 0.865604i \(0.333065\pi\)
\(660\) −4.01087 + 15.1105i −0.156123 + 0.588176i
\(661\) −10.9702 7.97029i −0.426690 0.310008i 0.353634 0.935384i \(-0.384946\pi\)
−0.780324 + 0.625376i \(0.784946\pi\)
\(662\) 2.89729 18.2928i 0.112606 0.710969i
\(663\) −7.57384 10.7187i −0.294144 0.416279i
\(664\) 1.98302 2.72939i 0.0769561 0.105921i
\(665\) 29.4994 6.75049i 1.14394 0.261773i
\(666\) 15.8208 10.8693i 0.613043 0.421178i
\(667\) 10.5149 5.35761i 0.407138 0.207447i
\(668\) −2.40724 2.40724i −0.0931391 0.0931391i
\(669\) 11.4807 + 23.2857i 0.443871 + 0.900276i
\(670\) −1.26399 3.14597i −0.0488323 0.121540i
\(671\) −2.05791 + 0.668657i −0.0794449 + 0.0258132i
\(672\) −1.02900 3.31494i −0.0396947 0.127877i
\(673\) 48.7489 7.72106i 1.87913 0.297625i 0.891331 0.453353i \(-0.149772\pi\)
0.987800 + 0.155727i \(0.0497721\pi\)
\(674\) 11.8757 0.457435
\(675\) 10.3656 + 23.8234i 0.398972 + 0.916963i
\(676\) 9.28106 0.356964
\(677\) −3.02000 + 0.478321i −0.116068 + 0.0183834i −0.214198 0.976790i \(-0.568714\pi\)
0.0981301 + 0.995174i \(0.468714\pi\)
\(678\) −7.47865 24.0925i −0.287216 0.925266i
\(679\) 20.2749 6.58771i 0.778078 0.252813i
\(680\) 6.74147 5.63461i 0.258524 0.216078i
\(681\) −2.92807 5.93883i −0.112204 0.227576i
\(682\) 26.6205 + 26.6205i 1.01935 + 1.01935i
\(683\) −31.2546 + 15.9250i −1.19592 + 0.609353i −0.934532 0.355880i \(-0.884181\pi\)
−0.261391 + 0.965233i \(0.584181\pi\)
\(684\) −16.6989 + 11.4726i −0.638497 + 0.438666i
\(685\) 9.33000 + 3.98163i 0.356481 + 0.152130i
\(686\) −11.7603 + 16.1867i −0.449011 + 0.618011i
\(687\) −22.5086 31.8547i −0.858757 1.21533i
\(688\) −1.47993 + 9.34391i −0.0564218 + 0.356233i
\(689\) 17.0526 + 12.3894i 0.649652 + 0.472000i
\(690\) −2.83359 7.33030i −0.107873 0.279060i
\(691\) −2.34860 + 1.70636i −0.0893451 + 0.0649130i −0.631561 0.775326i \(-0.717585\pi\)
0.542216 + 0.840239i \(0.317585\pi\)
\(692\) 0.590593 + 1.15910i 0.0224510 + 0.0440625i
\(693\) 17.6061 16.7018i 0.668800 0.634450i
\(694\) −7.45357 2.42181i −0.282934 0.0919307i
\(695\) 8.22893 + 9.84542i 0.312141 + 0.373458i
\(696\) 4.69100 8.91427i 0.177812 0.337894i
\(697\) −2.29725 + 4.50861i −0.0870146 + 0.170776i
\(698\) −1.46705 9.26258i −0.0555286 0.350594i
\(699\) 20.7773 + 21.3321i 0.785868 + 0.806854i
\(700\) 5.71540 + 8.22992i 0.216022 + 0.311062i
\(701\) 5.87338i 0.221834i 0.993830 + 0.110917i \(0.0353788\pi\)
−0.993830 + 0.110917i \(0.964621\pi\)
\(702\) −6.20568 + 7.86771i −0.234218 + 0.296948i
\(703\) −38.5003 19.6169i −1.45206 0.739864i
\(704\) −1.24738 3.83905i −0.0470126 0.144690i
\(705\) −4.69351 2.07650i −0.176768 0.0782056i
\(706\) −4.50172 + 13.8549i −0.169424 + 0.521435i
\(707\) 16.9480 16.9480i 0.637396 0.637396i
\(708\) 7.74314 + 2.62918i 0.291005 + 0.0988107i
\(709\) 10.1538 + 13.9755i 0.381335 + 0.524862i 0.955938 0.293570i \(-0.0948434\pi\)
−0.574603 + 0.818432i \(0.694843\pi\)
\(710\) −0.272854 1.19236i −0.0102400 0.0447486i
\(711\) −19.6080 + 25.5446i −0.735357 + 0.957996i
\(712\) 14.0233 + 2.22107i 0.525546 + 0.0832383i
\(713\) −18.6917 2.96048i −0.700011 0.110871i
\(714\) −13.4975 + 1.95586i −0.505130 + 0.0731962i
\(715\) 14.9376 8.93620i 0.558635 0.334195i
\(716\) 13.5783 + 18.6889i 0.507444 + 0.698437i
\(717\) 1.91153 5.62960i 0.0713874 0.210241i
\(718\) 8.34797 8.34797i 0.311544 0.311544i
\(719\) −12.3239 + 37.9289i −0.459602 + 1.41451i 0.406044 + 0.913854i \(0.366908\pi\)
−0.865646 + 0.500656i \(0.833092\pi\)
\(720\) −5.58608 3.71426i −0.208181 0.138422i
\(721\) −1.79640 5.52874i −0.0669013 0.205901i
\(722\) 23.7079 + 12.0798i 0.882318 + 0.449563i
\(723\) −11.8845 8.87617i −0.441989 0.330108i
\(724\) 16.2243i 0.602972i
\(725\) −5.16007 + 28.6174i −0.191640 + 1.06282i
\(726\) 6.56905 6.39818i 0.243800 0.237459i
\(727\) 3.26644 + 20.6235i 0.121146 + 0.764883i 0.971214 + 0.238210i \(0.0765608\pi\)
−0.850068 + 0.526673i \(0.823439\pi\)
\(728\) −1.75448 + 3.44335i −0.0650252 + 0.127619i
\(729\) 6.28953 + 26.2572i 0.232945 + 0.972490i
\(730\) 1.13307 + 16.6661i 0.0419367 + 0.616841i
\(731\) 35.3532 + 11.4869i 1.30758 + 0.424860i
\(732\) 0.0122327 0.928380i 0.000452134 0.0343139i
\(733\) 4.26895 + 8.37829i 0.157677 + 0.309459i 0.956307 0.292363i \(-0.0944416\pi\)
−0.798630 + 0.601822i \(0.794442\pi\)
\(734\) −2.18467 + 1.58725i −0.0806375 + 0.0585866i
\(735\) 0.631945 + 11.5401i 0.0233097 + 0.425663i
\(736\) 1.64163 + 1.19271i 0.0605112 + 0.0439639i
\(737\) −0.957451 + 6.04511i −0.0352682 + 0.222674i
\(738\) 3.79859 + 0.704700i 0.139828 + 0.0259404i
\(739\) 0.0758416 0.104387i 0.00278988 0.00383994i −0.807620 0.589704i \(-0.799245\pi\)
0.810410 + 0.585864i \(0.199245\pi\)
\(740\) 1.27446 14.2501i 0.0468500 0.523843i
\(741\) 22.2314 + 3.82201i 0.816689 + 0.140405i
\(742\) 19.5162 9.94400i 0.716462 0.365056i
\(743\) −7.88637 7.88637i −0.289323 0.289323i 0.547490 0.836812i \(-0.315584\pi\)
−0.836812 + 0.547490i \(0.815584\pi\)
\(744\) −14.4885 + 7.14338i −0.531173 + 0.261889i
\(745\) 8.36741 33.2858i 0.306558 1.21950i
\(746\) −20.3996 + 6.62824i −0.746883 + 0.242677i
\(747\) −4.83092 + 8.89381i −0.176754 + 0.325407i
\(748\) −15.6658 + 2.48121i −0.572797 + 0.0907221i
\(749\) −29.4771 −1.07707
\(750\) 18.6066 + 5.36592i 0.679418 + 0.195936i
\(751\) 24.5205 0.894768 0.447384 0.894342i \(-0.352356\pi\)
0.447384 + 0.894342i \(0.352356\pi\)
\(752\) 1.30885 0.207301i 0.0477288 0.00755950i
\(753\) −19.7547 + 6.13215i −0.719902 + 0.223468i
\(754\) −10.6665 + 3.46577i −0.388452 + 0.126216i
\(755\) 12.3723 49.2175i 0.450275 1.79121i
\(756\) 4.35704 + 9.45755i 0.158464 + 0.343968i
\(757\) 13.4521 + 13.4521i 0.488924 + 0.488924i 0.907967 0.419042i \(-0.137634\pi\)
−0.419042 + 0.907967i \(0.637634\pi\)
\(758\) −9.42760 + 4.80360i −0.342426 + 0.174475i
\(759\) −2.40379 + 13.9820i −0.0872519 + 0.507516i
\(760\) −1.34519 + 15.0410i −0.0487952 + 0.545593i
\(761\) 9.74504 13.4129i 0.353258 0.486217i −0.594997 0.803728i \(-0.702847\pi\)
0.948255 + 0.317510i \(0.102847\pi\)
\(762\) −5.18014 + 3.66030i −0.187657 + 0.132599i
\(763\) −3.92679 + 24.7928i −0.142159 + 0.897559i
\(764\) 4.50844 + 3.27557i 0.163109 + 0.118506i
\(765\) −17.8483 + 19.3960i −0.645307 + 0.701263i
\(766\) −0.112738 + 0.0819087i −0.00407338 + 0.00295948i
\(767\) −4.13340 8.11226i −0.149249 0.292917i
\(768\) 1.73190 + 0.0228202i 0.0624946 + 0.000823454i
\(769\) −24.2927 7.89319i −0.876018 0.284636i −0.163715 0.986508i \(-0.552348\pi\)
−0.712303 + 0.701872i \(0.752348\pi\)
\(770\) −1.22691 18.0465i −0.0442149 0.650350i
\(771\) 4.53819 + 2.38815i 0.163439 + 0.0860072i
\(772\) −3.93016 + 7.71338i −0.141450 + 0.277611i
\(773\) −1.33889 8.45340i −0.0481564 0.304048i 0.951840 &minu