Properties

Label 144.2.x.e.133.13
Level $144$
Weight $2$
Character 144.133
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 133.13
Character \(\chi\) \(=\) 144.133
Dual form 144.2.x.e.13.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.04877 - 0.948722i) q^{2} +(-1.13227 - 1.31071i) q^{3} +(0.199854 - 1.98999i) q^{4} +(0.00302457 - 0.0112878i) q^{5} +(-2.43100 - 0.300433i) q^{6} +(-1.05753 - 0.610563i) q^{7} +(-1.67835 - 2.27665i) q^{8} +(-0.435936 + 2.96816i) q^{9} +O(q^{10})\) \(q+(1.04877 - 0.948722i) q^{2} +(-1.13227 - 1.31071i) q^{3} +(0.199854 - 1.98999i) q^{4} +(0.00302457 - 0.0112878i) q^{5} +(-2.43100 - 0.300433i) q^{6} +(-1.05753 - 0.610563i) q^{7} +(-1.67835 - 2.27665i) q^{8} +(-0.435936 + 2.96816i) q^{9} +(-0.00753693 - 0.0147079i) q^{10} +(1.83070 - 0.490535i) q^{11} +(-2.83459 + 1.99125i) q^{12} +(5.06759 + 1.35786i) q^{13} +(-1.68836 + 0.362956i) q^{14} +(-0.0182197 + 0.00881653i) q^{15} +(-3.92012 - 0.795413i) q^{16} -1.54238 q^{17} +(2.35876 + 3.52651i) q^{18} +(4.06823 - 4.06823i) q^{19} +(-0.0218582 - 0.00827477i) q^{20} +(0.397131 + 2.07744i) q^{21} +(1.45461 - 2.25129i) q^{22} +(-5.20660 + 3.00603i) q^{23} +(-1.08370 + 4.77761i) q^{24} +(4.33001 + 2.49993i) q^{25} +(6.60298 - 3.38365i) q^{26} +(4.38400 - 2.78937i) q^{27} +(-1.42637 + 1.98244i) q^{28} +(0.798708 + 2.98082i) q^{29} +(-0.0107440 + 0.0265320i) q^{30} +(2.92831 + 5.07198i) q^{31} +(-4.86594 + 2.88489i) q^{32} +(-2.71580 - 1.84411i) q^{33} +(-1.61761 + 1.46329i) q^{34} +(-0.0100905 + 0.0100905i) q^{35} +(5.81948 + 1.46070i) q^{36} +(0.923082 + 0.923082i) q^{37} +(0.407035 - 8.12628i) q^{38} +(-3.95811 - 8.17961i) q^{39} +(-0.0307748 + 0.0120590i) q^{40} +(-3.20829 + 1.85231i) q^{41} +(2.38741 + 1.80199i) q^{42} +(-4.84015 + 1.29691i) q^{43} +(-0.610287 - 3.74111i) q^{44} +(0.0321856 + 0.0138982i) q^{45} +(-2.60866 + 8.09227i) q^{46} +(-1.31218 + 2.27277i) q^{47} +(3.39607 + 6.03877i) q^{48} +(-2.75442 - 4.77080i) q^{49} +(6.91294 - 1.48611i) q^{50} +(1.74639 + 2.02162i) q^{51} +(3.71490 - 9.81308i) q^{52} +(-8.88508 - 8.88508i) q^{53} +(1.95149 - 7.08461i) q^{54} -0.0221483i q^{55} +(0.384853 + 3.43236i) q^{56} +(-9.93862 - 0.725952i) q^{57} +(3.66563 + 2.36845i) q^{58} +(2.35453 - 8.78724i) q^{59} +(0.0139035 + 0.0380191i) q^{60} +(3.24737 + 12.1194i) q^{61} +(7.88303 + 2.54121i) q^{62} +(2.27326 - 2.87274i) q^{63} +(-2.36631 + 7.64203i) q^{64} +(0.0306545 - 0.0530952i) q^{65} +(-4.59780 + 0.642485i) q^{66} +(-11.8800 - 3.18324i) q^{67} +(-0.308250 + 3.06932i) q^{68} +(9.83532 + 3.42072i) q^{69} +(-0.00100958 + 0.0201557i) q^{70} +14.2363i q^{71} +(7.48912 - 3.98912i) q^{72} -4.32091i q^{73} +(1.84385 + 0.0923563i) q^{74} +(-1.62604 - 8.50599i) q^{75} +(-7.28269 - 8.90879i) q^{76} +(-2.23552 - 0.599006i) q^{77} +(-11.9113 - 4.82341i) q^{78} +(-0.261880 + 0.453589i) q^{79} +(-0.0208352 + 0.0418439i) q^{80} +(-8.61992 - 2.58785i) q^{81} +(-1.60745 + 4.98643i) q^{82} +(2.91592 + 10.8824i) q^{83} +(4.21344 - 0.375104i) q^{84} +(-0.00466503 + 0.0174101i) q^{85} +(-3.84581 + 5.95212i) q^{86} +(3.00264 - 4.42196i) q^{87} +(-4.18933 - 3.34459i) q^{88} -10.7103i q^{89} +(0.0469409 - 0.0159591i) q^{90} +(-4.53005 - 4.53005i) q^{91} +(4.94142 + 10.9619i) q^{92} +(3.33227 - 9.58101i) q^{93} +(0.780042 + 3.62852i) q^{94} +(-0.0336169 - 0.0582262i) q^{95} +(9.29082 + 3.11138i) q^{96} +(8.78820 - 15.2216i) q^{97} +(-7.41493 - 2.39031i) q^{98} +(0.657918 + 5.64765i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} + O(q^{10}) \) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} - 20 q^{10} - 2 q^{11} + 8 q^{12} - 16 q^{13} - 4 q^{14} - 20 q^{15} - 10 q^{16} - 16 q^{17} + 28 q^{19} + 12 q^{20} - 16 q^{21} - 8 q^{22} - 40 q^{24} - 4 q^{26} + 8 q^{27} - 16 q^{28} + 4 q^{29} + 18 q^{30} + 28 q^{31} - 46 q^{32} - 32 q^{33} - 14 q^{34} - 16 q^{35} + 14 q^{36} + 16 q^{37} + 2 q^{38} - 10 q^{40} + 26 q^{42} - 10 q^{43} + 60 q^{44} + 40 q^{45} + 20 q^{46} - 56 q^{47} + 2 q^{48} + 4 q^{49} - 36 q^{50} - 54 q^{51} + 6 q^{52} - 8 q^{53} + 92 q^{54} + 52 q^{56} - 14 q^{58} - 14 q^{59} + 18 q^{60} - 32 q^{61} + 16 q^{62} - 108 q^{63} - 44 q^{64} - 64 q^{65} + 26 q^{66} - 18 q^{67} + 16 q^{68} + 32 q^{69} + 14 q^{70} + 114 q^{72} + 38 q^{74} + 86 q^{75} + 10 q^{76} - 36 q^{77} + 16 q^{78} + 44 q^{79} + 144 q^{80} - 44 q^{81} - 88 q^{82} + 20 q^{83} - 58 q^{84} - 8 q^{85} + 76 q^{86} - 42 q^{88} - 80 q^{91} - 68 q^{92} - 4 q^{93} + 20 q^{94} + 48 q^{95} + 94 q^{96} + 40 q^{97} + 88 q^{98} + 28 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.04877 0.948722i 0.741595 0.670848i
\(3\) −1.13227 1.31071i −0.653716 0.756740i
\(4\) 0.199854 1.98999i 0.0999268 0.994995i
\(5\) 0.00302457 0.0112878i 0.00135263 0.00504807i −0.965246 0.261342i \(-0.915835\pi\)
0.966599 + 0.256294i \(0.0825016\pi\)
\(6\) −2.43100 0.300433i −0.992450 0.122651i
\(7\) −1.05753 0.610563i −0.399708 0.230771i 0.286650 0.958035i \(-0.407458\pi\)
−0.686358 + 0.727264i \(0.740792\pi\)
\(8\) −1.67835 2.27665i −0.593385 0.804919i
\(9\) −0.435936 + 2.96816i −0.145312 + 0.989386i
\(10\) −0.00753693 0.0147079i −0.00238339 0.00465104i
\(11\) 1.83070 0.490535i 0.551977 0.147902i 0.0279594 0.999609i \(-0.491099\pi\)
0.524018 + 0.851707i \(0.324432\pi\)
\(12\) −2.83459 + 1.99125i −0.818276 + 0.574825i
\(13\) 5.06759 + 1.35786i 1.40550 + 0.376602i 0.880315 0.474389i \(-0.157331\pi\)
0.525181 + 0.850991i \(0.323998\pi\)
\(14\) −1.68836 + 0.362956i −0.451234 + 0.0970040i
\(15\) −0.0182197 + 0.00881653i −0.00470432 + 0.00227642i
\(16\) −3.92012 0.795413i −0.980029 0.198853i
\(17\) −1.54238 −0.374082 −0.187041 0.982352i \(-0.559890\pi\)
−0.187041 + 0.982352i \(0.559890\pi\)
\(18\) 2.35876 + 3.52651i 0.555965 + 0.831206i
\(19\) 4.06823 4.06823i 0.933317 0.933317i −0.0645950 0.997912i \(-0.520576\pi\)
0.997912 + 0.0645950i \(0.0205756\pi\)
\(20\) −0.0218582 0.00827477i −0.00488764 0.00185030i
\(21\) 0.397131 + 2.07744i 0.0866611 + 0.453334i
\(22\) 1.45461 2.25129i 0.310124 0.479976i
\(23\) −5.20660 + 3.00603i −1.08565 + 0.626801i −0.932415 0.361388i \(-0.882303\pi\)
−0.153236 + 0.988190i \(0.548970\pi\)
\(24\) −1.08370 + 4.77761i −0.221210 + 0.975226i
\(25\) 4.33001 + 2.49993i 0.866002 + 0.499986i
\(26\) 6.60298 3.38365i 1.29495 0.663588i
\(27\) 4.38400 2.78937i 0.843701 0.536814i
\(28\) −1.42637 + 1.98244i −0.269558 + 0.374647i
\(29\) 0.798708 + 2.98082i 0.148316 + 0.553524i 0.999585 + 0.0287946i \(0.00916687\pi\)
−0.851269 + 0.524730i \(0.824166\pi\)
\(30\) −0.0107440 + 0.0265320i −0.00196157 + 0.00484406i
\(31\) 2.92831 + 5.07198i 0.525939 + 0.910954i 0.999543 + 0.0302159i \(0.00961949\pi\)
−0.473604 + 0.880738i \(0.657047\pi\)
\(32\) −4.86594 + 2.88489i −0.860185 + 0.509982i
\(33\) −2.71580 1.84411i −0.472760 0.321018i
\(34\) −1.61761 + 1.46329i −0.277418 + 0.250952i
\(35\) −0.0100905 + 0.0100905i −0.00170561 + 0.00170561i
\(36\) 5.81948 + 1.46070i 0.969913 + 0.243451i
\(37\) 0.923082 + 0.923082i 0.151754 + 0.151754i 0.778901 0.627147i \(-0.215777\pi\)
−0.627147 + 0.778901i \(0.715777\pi\)
\(38\) 0.407035 8.12628i 0.0660298 1.31826i
\(39\) −3.95811 8.17961i −0.633805 1.30979i
\(40\) −0.0307748 + 0.0120590i −0.00486592 + 0.00190669i
\(41\) −3.20829 + 1.85231i −0.501051 + 0.289282i −0.729147 0.684357i \(-0.760083\pi\)
0.228096 + 0.973639i \(0.426750\pi\)
\(42\) 2.38741 + 1.80199i 0.368385 + 0.278054i
\(43\) −4.84015 + 1.29691i −0.738115 + 0.197777i −0.608240 0.793753i \(-0.708124\pi\)
−0.129875 + 0.991530i \(0.541458\pi\)
\(44\) −0.610287 3.74111i −0.0920043 0.563994i
\(45\) 0.0321856 + 0.0138982i 0.00479794 + 0.00207182i
\(46\) −2.60866 + 8.09227i −0.384626 + 1.19314i
\(47\) −1.31218 + 2.27277i −0.191402 + 0.331517i −0.945715 0.324997i \(-0.894637\pi\)
0.754313 + 0.656515i \(0.227970\pi\)
\(48\) 3.39607 + 6.03877i 0.490180 + 0.871621i
\(49\) −2.75442 4.77080i −0.393489 0.681543i
\(50\) 6.91294 1.48611i 0.977637 0.210168i
\(51\) 1.74639 + 2.02162i 0.244543 + 0.283083i
\(52\) 3.71490 9.81308i 0.515163 1.36083i
\(53\) −8.88508 8.88508i −1.22046 1.22046i −0.967469 0.252991i \(-0.918586\pi\)
−0.252991 0.967469i \(-0.581414\pi\)
\(54\) 1.95149 7.08461i 0.265564 0.964093i
\(55\) 0.0221483i 0.00298648i
\(56\) 0.384853 + 3.43236i 0.0514282 + 0.458668i
\(57\) −9.93862 0.725952i −1.31640 0.0961547i
\(58\) 3.66563 + 2.36845i 0.481321 + 0.310993i
\(59\) 2.35453 8.78724i 0.306534 1.14400i −0.625082 0.780559i \(-0.714935\pi\)
0.931617 0.363443i \(-0.118399\pi\)
\(60\) 0.0139035 + 0.0380191i 0.00179494 + 0.00490824i
\(61\) 3.24737 + 12.1194i 0.415783 + 1.55172i 0.783262 + 0.621692i \(0.213555\pi\)
−0.367478 + 0.930032i \(0.619779\pi\)
\(62\) 7.88303 + 2.54121i 1.00115 + 0.322734i
\(63\) 2.27326 2.87274i 0.286404 0.361931i
\(64\) −2.36631 + 7.64203i −0.295789 + 0.955253i
\(65\) 0.0306545 0.0530952i 0.00380223 0.00658565i
\(66\) −4.59780 + 0.642485i −0.565950 + 0.0790844i
\(67\) −11.8800 3.18324i −1.45137 0.388895i −0.554873 0.831935i \(-0.687233\pi\)
−0.896501 + 0.443041i \(0.853900\pi\)
\(68\) −0.308250 + 3.06932i −0.0373808 + 0.372210i
\(69\) 9.83532 + 3.42072i 1.18403 + 0.411807i
\(70\) −0.00100958 + 0.0201557i −0.000120667 + 0.00240907i
\(71\) 14.2363i 1.68954i 0.535129 + 0.844771i \(0.320263\pi\)
−0.535129 + 0.844771i \(0.679737\pi\)
\(72\) 7.48912 3.98912i 0.882601 0.470122i
\(73\) 4.32091i 0.505724i −0.967502 0.252862i \(-0.918628\pi\)
0.967502 0.252862i \(-0.0813718\pi\)
\(74\) 1.84385 + 0.0923563i 0.214344 + 0.0107362i
\(75\) −1.62604 8.50599i −0.187759 0.982187i
\(76\) −7.28269 8.90879i −0.835382 1.02191i
\(77\) −2.23552 0.599006i −0.254761 0.0682630i
\(78\) −11.9113 4.82341i −1.34869 0.546144i
\(79\) −0.261880 + 0.453589i −0.0294638 + 0.0510328i −0.880381 0.474267i \(-0.842713\pi\)
0.850918 + 0.525299i \(0.176047\pi\)
\(80\) −0.0208352 + 0.0418439i −0.00232944 + 0.00467829i
\(81\) −8.61992 2.58785i −0.957769 0.287539i
\(82\) −1.60745 + 4.98643i −0.177513 + 0.550659i
\(83\) 2.91592 + 10.8824i 0.320064 + 1.19450i 0.919181 + 0.393834i \(0.128852\pi\)
−0.599117 + 0.800661i \(0.704482\pi\)
\(84\) 4.21344 0.375104i 0.459724 0.0409272i
\(85\) −0.00466503 + 0.0174101i −0.000505994 + 0.00188839i
\(86\) −3.84581 + 5.95212i −0.414704 + 0.641834i
\(87\) 3.00264 4.42196i 0.321917 0.474084i
\(88\) −4.18933 3.34459i −0.446584 0.356534i
\(89\) 10.7103i 1.13529i −0.823274 0.567644i \(-0.807855\pi\)
0.823274 0.567644i \(-0.192145\pi\)
\(90\) 0.0469409 0.0159591i 0.00494800 0.00168224i
\(91\) −4.53005 4.53005i −0.474879 0.474879i
\(92\) 4.94142 + 10.9619i 0.515178 + 1.14285i
\(93\) 3.33227 9.58101i 0.345541 0.993504i
\(94\) 0.780042 + 3.62852i 0.0804551 + 0.374253i
\(95\) −0.0336169 0.0582262i −0.00344902 0.00597388i
\(96\) 9.29082 + 3.11138i 0.948240 + 0.317554i
\(97\) 8.78820 15.2216i 0.892306 1.54552i 0.0552025 0.998475i \(-0.482420\pi\)
0.837104 0.547044i \(-0.184247\pi\)
\(98\) −7.41493 2.39031i −0.749022 0.241458i
\(99\) 0.657918 + 5.64765i 0.0661232 + 0.567611i
\(100\) 5.84021 8.11705i 0.584021 0.811705i
\(101\) 6.73117 1.80361i 0.669776 0.179466i 0.0921222 0.995748i \(-0.470635\pi\)
0.577654 + 0.816282i \(0.303968\pi\)
\(102\) 3.74952 + 0.463382i 0.371258 + 0.0458817i
\(103\) −2.20609 + 1.27369i −0.217373 + 0.125500i −0.604733 0.796428i \(-0.706720\pi\)
0.387360 + 0.921928i \(0.373387\pi\)
\(104\) −5.41379 13.8161i −0.530866 1.35478i
\(105\) 0.0246509 + 0.00180059i 0.00240568 + 0.000175720i
\(106\) −17.7479 0.888971i −1.72383 0.0863445i
\(107\) 3.52175 + 3.52175i 0.340460 + 0.340460i 0.856540 0.516080i \(-0.172609\pi\)
−0.516080 + 0.856540i \(0.672609\pi\)
\(108\) −4.67465 9.28158i −0.449818 0.893120i
\(109\) 3.14334 3.14334i 0.301077 0.301077i −0.540358 0.841435i \(-0.681711\pi\)
0.841435 + 0.540358i \(0.181711\pi\)
\(110\) −0.0210126 0.0232286i −0.00200347 0.00221476i
\(111\) 0.164719 2.25507i 0.0156344 0.214042i
\(112\) 3.65998 + 3.23465i 0.345835 + 0.305646i
\(113\) 7.90904 + 13.6989i 0.744020 + 1.28868i 0.950651 + 0.310262i \(0.100417\pi\)
−0.206631 + 0.978419i \(0.566250\pi\)
\(114\) −11.1121 + 8.66762i −1.04074 + 0.811797i
\(115\) 0.0181839 + 0.0678632i 0.00169566 + 0.00632828i
\(116\) 6.09142 0.993693i 0.565574 0.0922621i
\(117\) −6.23947 + 14.4495i −0.576839 + 1.33585i
\(118\) −5.86727 11.4496i −0.540126 1.05402i
\(119\) 1.63111 + 0.941721i 0.149523 + 0.0863274i
\(120\) 0.0506512 + 0.0266829i 0.00462380 + 0.00243580i
\(121\) −6.41543 + 3.70395i −0.583221 + 0.336723i
\(122\) 14.9037 + 9.62961i 1.34931 + 0.871824i
\(123\) 6.06049 + 2.10784i 0.546456 + 0.190057i
\(124\) 10.6784 4.81365i 0.958950 0.432278i
\(125\) 0.0826316 0.0826316i 0.00739079 0.00739079i
\(126\) −0.341293 5.16955i −0.0304048 0.460540i
\(127\) −5.72603 −0.508103 −0.254052 0.967191i \(-0.581763\pi\)
−0.254052 + 0.967191i \(0.581763\pi\)
\(128\) 4.76843 + 10.2597i 0.421474 + 0.906841i
\(129\) 7.18023 + 4.87559i 0.632184 + 0.429271i
\(130\) −0.0182229 0.0847675i −0.00159825 0.00743460i
\(131\) 6.56224 + 1.75835i 0.573346 + 0.153628i 0.533831 0.845591i \(-0.320752\pi\)
0.0395151 + 0.999219i \(0.487419\pi\)
\(132\) −4.21252 + 5.03586i −0.366652 + 0.438315i
\(133\) −6.78618 + 1.81835i −0.588436 + 0.157671i
\(134\) −15.4795 + 7.93233i −1.33722 + 0.685249i
\(135\) −0.0182262 0.0579225i −0.00156866 0.00498517i
\(136\) 2.58865 + 3.51147i 0.221975 + 0.301106i
\(137\) −3.64923 2.10688i −0.311775 0.180003i 0.335946 0.941881i \(-0.390944\pi\)
−0.647720 + 0.761878i \(0.724278\pi\)
\(138\) 13.5603 5.74342i 1.15433 0.488912i
\(139\) −4.19392 + 15.6519i −0.355724 + 1.32758i 0.523847 + 0.851812i \(0.324496\pi\)
−0.879571 + 0.475767i \(0.842170\pi\)
\(140\) 0.0180634 + 0.0220966i 0.00152663 + 0.00186750i
\(141\) 4.46469 0.853489i 0.375995 0.0718768i
\(142\) 13.5063 + 14.9307i 1.13342 + 1.25296i
\(143\) 9.94332 0.831502
\(144\) 4.06983 11.2888i 0.339153 0.940731i
\(145\) 0.0360627 0.00299485
\(146\) −4.09934 4.53165i −0.339264 0.375042i
\(147\) −3.13440 + 9.01209i −0.258521 + 0.743305i
\(148\) 2.02141 1.65244i 0.166159 0.135830i
\(149\) 1.00877 3.76477i 0.0826415 0.308422i −0.912216 0.409710i \(-0.865630\pi\)
0.994857 + 0.101288i \(0.0322964\pi\)
\(150\) −9.77517 7.37820i −0.798139 0.602428i
\(151\) 13.0073 + 7.50979i 1.05852 + 0.611138i 0.925023 0.379911i \(-0.124045\pi\)
0.133499 + 0.991049i \(0.457379\pi\)
\(152\) −16.0899 2.43406i −1.30506 0.197428i
\(153\) 0.672378 4.57803i 0.0543586 0.370112i
\(154\) −2.91284 + 1.49266i −0.234724 + 0.120282i
\(155\) 0.0661085 0.0177137i 0.00530996 0.00142280i
\(156\) −17.0684 + 6.24188i −1.36656 + 0.499750i
\(157\) −9.47288 2.53825i −0.756018 0.202574i −0.139832 0.990175i \(-0.544656\pi\)
−0.616186 + 0.787601i \(0.711323\pi\)
\(158\) 0.155677 + 0.724164i 0.0123850 + 0.0576114i
\(159\) −1.58549 + 21.7061i −0.125738 + 1.72140i
\(160\) 0.0178468 + 0.0636515i 0.00141092 + 0.00503209i
\(161\) 7.34150 0.578591
\(162\) −11.4955 + 5.46384i −0.903172 + 0.429280i
\(163\) 5.22606 5.22606i 0.409336 0.409336i −0.472171 0.881507i \(-0.656529\pi\)
0.881507 + 0.472171i \(0.156529\pi\)
\(164\) 3.04488 + 6.75466i 0.237766 + 0.527450i
\(165\) −0.0290301 + 0.0250779i −0.00225999 + 0.00195231i
\(166\) 13.3825 + 8.64675i 1.03868 + 0.671118i
\(167\) −6.31476 + 3.64583i −0.488651 + 0.282123i −0.724015 0.689785i \(-0.757705\pi\)
0.235364 + 0.971907i \(0.424372\pi\)
\(168\) 4.06308 4.39078i 0.313473 0.338756i
\(169\) 12.5783 + 7.26211i 0.967565 + 0.558624i
\(170\) 0.0116248 + 0.0226851i 0.000891583 + 0.00173987i
\(171\) 10.3017 + 13.8486i 0.787788 + 1.05903i
\(172\) 1.61352 + 9.89103i 0.123030 + 0.754184i
\(173\) −6.14659 22.9394i −0.467317 1.74405i −0.649092 0.760710i \(-0.724851\pi\)
0.181775 0.983340i \(-0.441816\pi\)
\(174\) −1.04612 7.48632i −0.0793060 0.567536i
\(175\) −3.05273 5.28749i −0.230765 0.399697i
\(176\) −7.56674 + 0.466790i −0.570365 + 0.0351856i
\(177\) −14.1835 + 6.86340i −1.06610 + 0.515885i
\(178\) −10.1611 11.2327i −0.761606 0.841925i
\(179\) 11.4489 11.4489i 0.855732 0.855732i −0.135100 0.990832i \(-0.543136\pi\)
0.990832 + 0.135100i \(0.0431356\pi\)
\(180\) 0.0340896 0.0612713i 0.00254089 0.00456690i
\(181\) −3.01327 3.01327i −0.223974 0.223974i 0.586195 0.810170i \(-0.300625\pi\)
−0.810170 + 0.586195i \(0.800625\pi\)
\(182\) −9.04876 0.453241i −0.670739 0.0335965i
\(183\) 12.2081 17.9787i 0.902448 1.32903i
\(184\) 15.5822 + 6.80848i 1.14873 + 0.501927i
\(185\) 0.0132115 0.00762768i 0.000971331 0.000560798i
\(186\) −5.59491 13.2097i −0.410239 0.968583i
\(187\) −2.82364 + 0.756592i −0.206485 + 0.0553275i
\(188\) 4.26054 + 3.06545i 0.310732 + 0.223571i
\(189\) −6.33928 + 0.273120i −0.461115 + 0.0198666i
\(190\) −0.0904970 0.0291730i −0.00656534 0.00211643i
\(191\) −2.25702 + 3.90928i −0.163313 + 0.282866i −0.936055 0.351854i \(-0.885551\pi\)
0.772742 + 0.634720i \(0.218885\pi\)
\(192\) 12.6958 5.55127i 0.916241 0.400628i
\(193\) −1.75793 3.04482i −0.126539 0.219171i 0.795795 0.605566i \(-0.207053\pi\)
−0.922333 + 0.386395i \(0.873720\pi\)
\(194\) −5.22424 24.3016i −0.375078 1.74475i
\(195\) −0.104302 + 0.0199387i −0.00746920 + 0.00142784i
\(196\) −10.0443 + 4.52781i −0.717452 + 0.323415i
\(197\) −4.81922 4.81922i −0.343355 0.343355i 0.514272 0.857627i \(-0.328062\pi\)
−0.857627 + 0.514272i \(0.828062\pi\)
\(198\) 6.04806 + 5.29893i 0.429817 + 0.376579i
\(199\) 4.66322i 0.330567i 0.986246 + 0.165284i \(0.0528539\pi\)
−0.986246 + 0.165284i \(0.947146\pi\)
\(200\) −1.57577 14.0537i −0.111424 0.993746i
\(201\) 9.27905 + 19.1756i 0.654494 + 1.35254i
\(202\) 5.34835 8.27759i 0.376308 0.582409i
\(203\) 0.975324 3.63996i 0.0684543 0.255475i
\(204\) 4.37202 3.07127i 0.306103 0.215032i
\(205\) 0.0112049 + 0.0418171i 0.000782581 + 0.00292063i
\(206\) −1.10532 + 3.42878i −0.0770110 + 0.238894i
\(207\) −6.65264 16.7645i −0.462390 1.16521i
\(208\) −18.7855 9.35378i −1.30254 0.648568i
\(209\) 5.45211 9.44333i 0.377130 0.653209i
\(210\) 0.0275615 0.0214984i 0.00190192 0.00148353i
\(211\) −17.4452 4.67442i −1.20097 0.321800i −0.397760 0.917490i \(-0.630212\pi\)
−0.803215 + 0.595689i \(0.796879\pi\)
\(212\) −19.4569 + 15.9055i −1.33631 + 1.09239i
\(213\) 18.6597 16.1193i 1.27854 1.10448i
\(214\) 7.03468 + 0.352358i 0.480881 + 0.0240867i
\(215\) 0.0585574i 0.00399358i
\(216\) −13.7083 5.29933i −0.932731 0.360574i
\(217\) 7.15167i 0.485487i
\(218\) 0.314498 6.27881i 0.0213005 0.425254i
\(219\) −5.66347 + 4.89243i −0.382702 + 0.330599i
\(220\) −0.0440749 0.00442642i −0.00297153 0.000298429i
\(221\) −7.81615 2.09433i −0.525771 0.140880i
\(222\) −1.96668 2.52133i −0.131995 0.169221i
\(223\) 2.85769 4.94966i 0.191365 0.331454i −0.754338 0.656486i \(-0.772042\pi\)
0.945703 + 0.325032i \(0.105375\pi\)
\(224\) 6.90727 0.0798841i 0.461512 0.00533748i
\(225\) −9.30780 + 11.7623i −0.620520 + 0.784156i
\(226\) 21.2912 + 6.86353i 1.41627 + 0.456555i
\(227\) −5.27233 19.6766i −0.349937 1.30598i −0.886738 0.462272i \(-0.847034\pi\)
0.536802 0.843709i \(-0.319632\pi\)
\(228\) −3.43091 + 19.6327i −0.227217 + 1.30020i
\(229\) −0.992819 + 3.70525i −0.0656073 + 0.244850i −0.990940 0.134307i \(-0.957119\pi\)
0.925332 + 0.379157i \(0.123786\pi\)
\(230\) 0.0834542 + 0.0539217i 0.00550280 + 0.00355549i
\(231\) 1.74608 + 3.60836i 0.114884 + 0.237413i
\(232\) 5.44579 6.82122i 0.357533 0.447835i
\(233\) 5.33043i 0.349208i 0.984639 + 0.174604i \(0.0558645\pi\)
−0.984639 + 0.174604i \(0.944136\pi\)
\(234\) 7.16472 + 21.0737i 0.468373 + 1.37763i
\(235\) 0.0216859 + 0.0216859i 0.00141463 + 0.00141463i
\(236\) −17.0160 6.44166i −1.10764 0.419316i
\(237\) 0.891043 0.170336i 0.0578795 0.0110645i
\(238\) 2.60410 0.559816i 0.168798 0.0362875i
\(239\) −13.8380 23.9681i −0.895104 1.55037i −0.833676 0.552254i \(-0.813768\pi\)
−0.0614282 0.998112i \(-0.519566\pi\)
\(240\) 0.0784363 0.0200696i 0.00506304 0.00129549i
\(241\) 0.847203 1.46740i 0.0545731 0.0945234i −0.837448 0.546517i \(-0.815954\pi\)
0.892021 + 0.451993i \(0.149287\pi\)
\(242\) −3.21432 + 9.97107i −0.206624 + 0.640965i
\(243\) 6.36814 + 14.2284i 0.408516 + 0.912751i
\(244\) 24.7664 4.04014i 1.58551 0.258643i
\(245\) −0.0621830 + 0.0166619i −0.00397273 + 0.00106449i
\(246\) 8.35584 3.53907i 0.532749 0.225643i
\(247\) 26.1402 15.0921i 1.66326 0.960284i
\(248\) 6.63243 15.1793i 0.421160 0.963885i
\(249\) 10.9621 16.1437i 0.694692 1.02307i
\(250\) 0.00826746 0.165056i 0.000522880 0.0104391i
\(251\) 0.987980 + 0.987980i 0.0623607 + 0.0623607i 0.737599 0.675239i \(-0.235959\pi\)
−0.675239 + 0.737599i \(0.735959\pi\)
\(252\) −5.26240 5.09789i −0.331500 0.321137i
\(253\) −8.05717 + 8.05717i −0.506550 + 0.506550i
\(254\) −6.00531 + 5.43241i −0.376807 + 0.340860i
\(255\) 0.0281018 0.0135984i 0.00175980 0.000851567i
\(256\) 14.7346 + 6.23623i 0.920915 + 0.389764i
\(257\) 11.8214 + 20.4753i 0.737401 + 1.27722i 0.953662 + 0.300881i \(0.0972806\pi\)
−0.216260 + 0.976336i \(0.569386\pi\)
\(258\) 12.1560 1.69865i 0.756800 0.105753i
\(259\) −0.412584 1.53978i −0.0256367 0.0956776i
\(260\) −0.0995325 0.0716134i −0.00617274 0.00444128i
\(261\) −9.19572 + 1.07125i −0.569201 + 0.0663085i
\(262\) 8.55049 4.38163i 0.528251 0.270698i
\(263\) −22.2619 12.8529i −1.37273 0.792545i −0.381458 0.924386i \(-0.624578\pi\)
−0.991271 + 0.131841i \(0.957911\pi\)
\(264\) 0.359651 + 9.27798i 0.0221350 + 0.571020i
\(265\) −0.127167 + 0.0734198i −0.00781180 + 0.00451015i
\(266\) −5.39206 + 8.34523i −0.330608 + 0.511679i
\(267\) −14.0381 + 12.1269i −0.859119 + 0.742156i
\(268\) −8.70888 + 23.0049i −0.531979 + 1.40525i
\(269\) −13.6891 + 13.6891i −0.834637 + 0.834637i −0.988147 0.153510i \(-0.950942\pi\)
0.153510 + 0.988147i \(0.450942\pi\)
\(270\) −0.0740675 0.0434560i −0.00450760 0.00264465i
\(271\) −7.11000 −0.431902 −0.215951 0.976404i \(-0.569285\pi\)
−0.215951 + 0.976404i \(0.569285\pi\)
\(272\) 6.04631 + 1.22683i 0.366612 + 0.0743875i
\(273\) −0.808361 + 11.0668i −0.0489242 + 0.669795i
\(274\) −5.82607 + 1.25246i −0.351966 + 0.0756639i
\(275\) 9.15326 + 2.45261i 0.551962 + 0.147898i
\(276\) 8.77283 18.8885i 0.528062 1.13696i
\(277\) −21.7174 + 5.81917i −1.30487 + 0.349640i −0.843291 0.537457i \(-0.819385\pi\)
−0.461583 + 0.887097i \(0.652718\pi\)
\(278\) 10.4509 + 20.3942i 0.626801 + 1.22316i
\(279\) −16.3310 + 6.48062i −0.977710 + 0.387985i
\(280\) 0.0399079 + 0.00603724i 0.00238496 + 0.000360794i
\(281\) 19.7952 + 11.4288i 1.18088 + 0.681783i 0.956218 0.292654i \(-0.0945383\pi\)
0.224664 + 0.974436i \(0.427872\pi\)
\(282\) 3.87273 5.13087i 0.230618 0.305539i
\(283\) 1.59958 5.96971i 0.0950851 0.354862i −0.901947 0.431846i \(-0.857862\pi\)
0.997032 + 0.0769838i \(0.0245290\pi\)
\(284\) 28.3301 + 2.84518i 1.68108 + 0.168830i
\(285\) −0.0382544 + 0.109990i −0.00226600 + 0.00651523i
\(286\) 10.4283 9.43344i 0.616638 0.557811i
\(287\) 4.52381 0.267032
\(288\) −6.44158 15.7005i −0.379574 0.925162i
\(289\) −14.6211 −0.860063
\(290\) 0.0378217 0.0342135i 0.00222096 0.00200909i
\(291\) −29.9017 + 5.71614i −1.75287 + 0.335086i
\(292\) −8.59856 0.863549i −0.503192 0.0505354i
\(293\) 1.00950 3.76752i 0.0589758 0.220101i −0.930148 0.367184i \(-0.880322\pi\)
0.989124 + 0.147083i \(0.0469886\pi\)
\(294\) 5.26269 + 12.4253i 0.306926 + 0.724660i
\(295\) −0.0920675 0.0531552i −0.00536038 0.00309482i
\(296\) 0.552289 3.65079i 0.0321011 0.212198i
\(297\) 6.65751 7.25700i 0.386308 0.421094i
\(298\) −2.51375 4.90543i −0.145618 0.284164i
\(299\) −30.4667 + 8.16352i −1.76193 + 0.472109i
\(300\) −17.2518 + 1.53585i −0.996033 + 0.0886724i
\(301\) 5.91043 + 1.58370i 0.340672 + 0.0912827i
\(302\) 20.7665 4.46427i 1.19498 0.256890i
\(303\) −9.98550 6.78045i −0.573652 0.389527i
\(304\) −19.1839 + 12.7120i −1.10027 + 0.729084i
\(305\) 0.146623 0.00839562
\(306\) −3.63810 5.43922i −0.207976 0.310939i
\(307\) 10.8111 10.8111i 0.617023 0.617023i −0.327743 0.944767i \(-0.606288\pi\)
0.944767 + 0.327743i \(0.106288\pi\)
\(308\) −1.63879 + 4.32895i −0.0933788 + 0.246665i
\(309\) 4.16733 + 1.44940i 0.237071 + 0.0824532i
\(310\) 0.0525275 0.0812963i 0.00298336 0.00461732i
\(311\) 19.5372 11.2798i 1.10785 0.639619i 0.169581 0.985516i \(-0.445759\pi\)
0.938273 + 0.345897i \(0.112425\pi\)
\(312\) −11.9791 + 22.7395i −0.678181 + 1.28737i
\(313\) −5.17232 2.98624i −0.292357 0.168792i 0.346647 0.937996i \(-0.387320\pi\)
−0.639004 + 0.769203i \(0.720653\pi\)
\(314\) −12.3430 + 6.32508i −0.696556 + 0.356945i
\(315\) −0.0255514 0.0343490i −0.00143966 0.00193535i
\(316\) 0.850300 + 0.611789i 0.0478331 + 0.0344158i
\(317\) 4.81751 + 17.9792i 0.270579 + 1.00981i 0.958747 + 0.284262i \(0.0917485\pi\)
−0.688168 + 0.725551i \(0.741585\pi\)
\(318\) 18.9302 + 24.2690i 1.06155 + 1.36094i
\(319\) 2.92439 + 5.06520i 0.163735 + 0.283597i
\(320\) 0.0791049 + 0.0498244i 0.00442210 + 0.00278527i
\(321\) 0.628435 8.60356i 0.0350758 0.480204i
\(322\) 7.69957 6.96504i 0.429080 0.388146i
\(323\) −6.27476 + 6.27476i −0.349137 + 0.349137i
\(324\) −6.87252 + 16.6364i −0.381807 + 0.924242i
\(325\) 18.5482 + 18.5482i 1.02887 + 1.02887i
\(326\) 0.522878 10.4390i 0.0289595 0.578164i
\(327\) −7.67912 0.560910i −0.424656 0.0310184i
\(328\) 9.60169 + 4.19536i 0.530164 + 0.231650i
\(329\) 2.77534 1.60234i 0.153009 0.0883400i
\(330\) −0.00665409 + 0.0538425i −0.000366296 + 0.00296393i
\(331\) −10.1869 + 2.72957i −0.559923 + 0.150031i −0.527671 0.849449i \(-0.676935\pi\)
−0.0322521 + 0.999480i \(0.510268\pi\)
\(332\) 22.2386 3.62777i 1.22050 0.199100i
\(333\) −3.14226 + 2.33745i −0.172195 + 0.128091i
\(334\) −3.16388 + 9.81461i −0.173120 + 0.537031i
\(335\) −0.0718638 + 0.124472i −0.00392634 + 0.00680062i
\(336\) 0.0956190 8.45967i 0.00521644 0.461513i
\(337\) 12.1222 + 20.9962i 0.660336 + 1.14374i 0.980527 + 0.196382i \(0.0629194\pi\)
−0.320192 + 0.947353i \(0.603747\pi\)
\(338\) 20.0816 4.31704i 1.09229 0.234816i
\(339\) 9.00011 25.8773i 0.488819 1.40546i
\(340\) 0.0337137 + 0.0127628i 0.00182838 + 0.000692163i
\(341\) 7.84884 + 7.84884i 0.425038 + 0.425038i
\(342\) 23.9426 + 4.75068i 1.29467 + 0.256887i
\(343\) 15.2749i 0.824767i
\(344\) 11.0761 + 8.84267i 0.597181 + 0.476765i
\(345\) 0.0683602 0.100673i 0.00368039 0.00542007i
\(346\) −28.2095 18.2268i −1.51655 0.979881i
\(347\) 4.97570 18.5696i 0.267110 0.996867i −0.693837 0.720132i \(-0.744081\pi\)
0.960946 0.276735i \(-0.0892523\pi\)
\(348\) −8.19957 6.85898i −0.439543 0.367680i
\(349\) −4.19134 15.6423i −0.224357 0.837313i −0.982661 0.185411i \(-0.940638\pi\)
0.758304 0.651901i \(-0.226028\pi\)
\(350\) −8.21798 2.64919i −0.439270 0.141605i
\(351\) 26.0039 8.18252i 1.38798 0.436750i
\(352\) −7.49295 + 7.66829i −0.399376 + 0.408721i
\(353\) −7.69391 + 13.3262i −0.409505 + 0.709284i −0.994834 0.101512i \(-0.967632\pi\)
0.585329 + 0.810796i \(0.300965\pi\)
\(354\) −8.36384 + 20.6544i −0.444533 + 1.09777i
\(355\) 0.160697 + 0.0430587i 0.00852893 + 0.00228532i
\(356\) −21.3134 2.14049i −1.12961 0.113446i
\(357\) −0.612527 3.20420i −0.0324184 0.169584i
\(358\) 1.14549 22.8692i 0.0605409 1.20867i
\(359\) 2.97883i 0.157217i −0.996906 0.0786083i \(-0.974952\pi\)
0.996906 0.0786083i \(-0.0250476\pi\)
\(360\) −0.0223772 0.0966013i −0.00117938 0.00509134i
\(361\) 14.1010i 0.742159i
\(362\) −6.01899 0.301484i −0.316351 0.0158456i
\(363\) 12.1188 + 4.21492i 0.636073 + 0.221226i
\(364\) −9.92011 + 8.10941i −0.519955 + 0.425049i
\(365\) −0.0487737 0.0130689i −0.00255293 0.000684056i
\(366\) −4.25329 30.4377i −0.222323 1.59101i
\(367\) 12.5585 21.7519i 0.655547 1.13544i −0.326210 0.945297i \(-0.605772\pi\)
0.981756 0.190143i \(-0.0608952\pi\)
\(368\) 22.8015 7.64260i 1.18861 0.398398i
\(369\) −4.09933 10.3302i −0.213403 0.537769i
\(370\) 0.00661936 0.0205338i 0.000344124 0.00106750i
\(371\) 3.97131 + 14.8211i 0.206180 + 0.769474i
\(372\) −18.4001 8.54599i −0.954003 0.443089i
\(373\) 7.71816 28.8046i 0.399631 1.49144i −0.414116 0.910224i \(-0.635909\pi\)
0.813747 0.581220i \(-0.197424\pi\)
\(374\) −2.24356 + 3.47234i −0.116012 + 0.179551i
\(375\) −0.201867 0.0147451i −0.0104244 0.000761435i
\(376\) 7.37661 0.827102i 0.380420 0.0426545i
\(377\) 16.1901i 0.833832i
\(378\) −6.38936 + 6.30065i −0.328633 + 0.324071i
\(379\) 10.1985 + 10.1985i 0.523864 + 0.523864i 0.918736 0.394872i \(-0.129211\pi\)
−0.394872 + 0.918736i \(0.629211\pi\)
\(380\) −0.122588 + 0.0552606i −0.00628863 + 0.00283481i
\(381\) 6.48341 + 7.50518i 0.332155 + 0.384502i
\(382\) 1.34171 + 6.24124i 0.0686479 + 0.319330i
\(383\) 10.5750 + 18.3164i 0.540356 + 0.935924i 0.998883 + 0.0472436i \(0.0150437\pi\)
−0.458528 + 0.888680i \(0.651623\pi\)
\(384\) 8.04842 17.8668i 0.410719 0.911762i
\(385\) −0.0135230 + 0.0234224i −0.000689194 + 0.00119372i
\(386\) −4.73236 1.52555i −0.240871 0.0776482i
\(387\) −1.73945 14.9317i −0.0884213 0.759020i
\(388\) −28.5345 20.5305i −1.44862 1.04228i
\(389\) 30.3488 8.13193i 1.53874 0.412305i 0.612884 0.790173i \(-0.290009\pi\)
0.925860 + 0.377867i \(0.123342\pi\)
\(390\) −0.0904726 + 0.119865i −0.00458126 + 0.00606958i
\(391\) 8.03056 4.63645i 0.406123 0.234475i
\(392\) −6.23860 + 14.2779i −0.315097 + 0.721144i
\(393\) −5.12553 10.5921i −0.258549 0.534303i
\(394\) −9.62638 0.482173i −0.484970 0.0242915i
\(395\) 0.00432797 + 0.00432797i 0.000217764 + 0.000217764i
\(396\) 11.3703 0.180545i 0.571377 0.00907272i
\(397\) −3.24113 + 3.24113i −0.162668 + 0.162668i −0.783747 0.621080i \(-0.786694\pi\)
0.621080 + 0.783747i \(0.286694\pi\)
\(398\) 4.42410 + 4.89067i 0.221760 + 0.245147i
\(399\) 10.0671 + 6.83587i 0.503986 + 0.342221i
\(400\) −14.9857 13.2442i −0.749283 0.662209i
\(401\) −10.7429 18.6073i −0.536476 0.929203i −0.999090 0.0426439i \(-0.986422\pi\)
0.462614 0.886560i \(-0.346911\pi\)
\(402\) 27.9239 + 11.3076i 1.39272 + 0.563971i
\(403\) 7.95244 + 29.6789i 0.396139 + 1.47841i
\(404\) −2.24392 13.7554i −0.111639 0.684357i
\(405\) −0.0552828 + 0.0894731i −0.00274702 + 0.00444596i
\(406\) −2.43041 4.74280i −0.120619 0.235381i
\(407\) 2.14269 + 1.23708i 0.106209 + 0.0613200i
\(408\) 1.67148 7.36890i 0.0827507 0.364815i
\(409\) −23.1426 + 13.3614i −1.14433 + 0.660678i −0.947499 0.319760i \(-0.896398\pi\)
−0.196829 + 0.980438i \(0.563064\pi\)
\(410\) 0.0514242 + 0.0332264i 0.00253966 + 0.00164093i
\(411\) 1.37039 + 7.16865i 0.0675963 + 0.353604i
\(412\) 2.09373 + 4.64465i 0.103151 + 0.228825i
\(413\) −7.85515 + 7.85515i −0.386527 + 0.386527i
\(414\) −22.8819 11.2706i −1.12459 0.553921i
\(415\) 0.131658 0.00646283
\(416\) −28.5759 + 8.01219i −1.40105 + 0.392830i
\(417\) 25.2638 12.2252i 1.23718 0.598669i
\(418\) −3.24106 15.0765i −0.158526 0.737414i
\(419\) −8.83989 2.36864i −0.431857 0.115716i 0.0363407 0.999339i \(-0.488430\pi\)
−0.468198 + 0.883624i \(0.655097\pi\)
\(420\) 0.00850973 0.0486952i 0.000415232 0.00237608i
\(421\) −28.9344 + 7.75295i −1.41018 + 0.377856i −0.881988 0.471272i \(-0.843795\pi\)
−0.528188 + 0.849127i \(0.677128\pi\)
\(422\) −22.7308 + 11.6482i −1.10652 + 0.567026i
\(423\) −6.17391 4.88555i −0.300186 0.237544i
\(424\) −5.31603 + 35.1405i −0.258169 + 1.70657i
\(425\) −6.67852 3.85585i −0.323956 0.187036i
\(426\) 4.27707 34.6085i 0.207225 1.67678i
\(427\) 3.96545 14.7993i 0.191902 0.716187i
\(428\) 7.71208 6.30441i 0.372777 0.304735i
\(429\) −11.2585 13.0328i −0.543566 0.629231i
\(430\) 0.0555547 + 0.0614135i 0.00267908 + 0.00296162i
\(431\) −7.05544 −0.339849 −0.169924 0.985457i \(-0.554352\pi\)
−0.169924 + 0.985457i \(0.554352\pi\)
\(432\) −19.4045 + 7.44755i −0.933599 + 0.358320i
\(433\) 13.1552 0.632201 0.316100 0.948726i \(-0.397626\pi\)
0.316100 + 0.948726i \(0.397626\pi\)
\(434\) −6.78494 7.50048i −0.325688 0.360035i
\(435\) −0.0408327 0.0472679i −0.00195778 0.00226632i
\(436\) −5.62700 6.88342i −0.269485 0.329656i
\(437\) −8.95243 + 33.4109i −0.428253 + 1.59826i
\(438\) −1.29814 + 10.5041i −0.0620277 + 0.501905i
\(439\) −12.8757 7.43381i −0.614525 0.354796i 0.160209 0.987083i \(-0.448783\pi\)
−0.774734 + 0.632287i \(0.782116\pi\)
\(440\) −0.0504241 + 0.0371725i −0.00240387 + 0.00177213i
\(441\) 15.3612 6.09580i 0.731488 0.290276i
\(442\) −10.1843 + 5.21887i −0.484418 + 0.248236i
\(443\) −2.97678 + 0.797625i −0.141431 + 0.0378963i −0.328840 0.944386i \(-0.606658\pi\)
0.187409 + 0.982282i \(0.439991\pi\)
\(444\) −4.45465 0.778473i −0.211408 0.0369447i
\(445\) −0.120896 0.0323940i −0.00573102 0.00153562i
\(446\) −1.69878 7.90223i −0.0804398 0.374182i
\(447\) −6.07673 + 2.94053i −0.287419 + 0.139082i
\(448\) 7.16838 6.63686i 0.338674 0.313562i
\(449\) −21.8550 −1.03140 −0.515701 0.856769i \(-0.672468\pi\)
−0.515701 + 0.856769i \(0.672468\pi\)
\(450\) 1.39741 + 21.1665i 0.0658748 + 0.997801i
\(451\) −4.96480 + 4.96480i −0.233783 + 0.233783i
\(452\) 28.8412 13.0011i 1.35658 0.611522i
\(453\) −4.88462 25.5520i −0.229500 1.20054i
\(454\) −24.1971 15.6343i −1.13563 0.733755i
\(455\) −0.0648360 + 0.0374331i −0.00303956 + 0.00175489i
\(456\) 15.0277 + 23.8452i 0.703736 + 1.11665i
\(457\) −2.32261 1.34096i −0.108647 0.0627275i 0.444692 0.895684i \(-0.353313\pi\)
−0.553339 + 0.832956i \(0.686647\pi\)
\(458\) 2.47401 + 4.82788i 0.115603 + 0.225592i
\(459\) −6.76179 + 4.30226i −0.315613 + 0.200812i
\(460\) 0.138681 0.0226231i 0.00646605 0.00105481i
\(461\) 2.74844 + 10.2573i 0.128008 + 0.477732i 0.999929 0.0119146i \(-0.00379262\pi\)
−0.871921 + 0.489646i \(0.837126\pi\)
\(462\) 5.25458 + 2.12780i 0.244465 + 0.0989944i
\(463\) 11.8249 + 20.4814i 0.549550 + 0.951849i 0.998305 + 0.0581943i \(0.0185343\pi\)
−0.448755 + 0.893655i \(0.648132\pi\)
\(464\) −0.760046 12.3205i −0.0352842 0.571963i
\(465\) −0.0980702 0.0665926i −0.00454790 0.00308816i
\(466\) 5.05709 + 5.59041i 0.234265 + 0.258971i
\(467\) 2.22540 2.22540i 0.102979 0.102979i −0.653740 0.756719i \(-0.726801\pi\)
0.756719 + 0.653740i \(0.226801\pi\)
\(468\) 27.5073 + 15.3043i 1.27153 + 0.707440i
\(469\) 10.6199 + 10.6199i 0.490380 + 0.490380i
\(470\) 0.0433174 + 0.00216972i 0.00199808 + 0.000100082i
\(471\) 7.39893 + 15.2902i 0.340925 + 0.704536i
\(472\) −23.9572 + 9.38756i −1.10272 + 0.432098i
\(473\) −8.22468 + 4.74852i −0.378171 + 0.218337i
\(474\) 0.772902 1.02400i 0.0355006 0.0470337i
\(475\) 27.7858 7.44518i 1.27490 0.341608i
\(476\) 2.20000 3.05768i 0.100837 0.140149i
\(477\) 30.2456 22.4990i 1.38485 1.03016i
\(478\) −37.2519 12.0087i −1.70386 0.549265i
\(479\) −6.23896 + 10.8062i −0.285066 + 0.493748i −0.972625 0.232380i \(-0.925349\pi\)
0.687559 + 0.726128i \(0.258682\pi\)
\(480\) 0.0632215 0.0954627i 0.00288565 0.00435726i
\(481\) 3.42439 + 5.93121i 0.156139 + 0.270440i
\(482\) −0.503629 2.34273i −0.0229397 0.106708i
\(483\) −8.31255 9.62259i −0.378234 0.437843i
\(484\) 6.08868 + 13.5069i 0.276758 + 0.613950i
\(485\) −0.145238 0.145238i −0.00659494 0.00659494i
\(486\) 20.1775 + 8.88077i 0.915271 + 0.402840i
\(487\) 12.5314i 0.567853i 0.958846 + 0.283927i \(0.0916372\pi\)
−0.958846 + 0.283927i \(0.908363\pi\)
\(488\) 22.1414 27.7336i 1.00229 1.25544i
\(489\) −12.7672 0.932559i −0.577351 0.0421718i
\(490\) −0.0494084 + 0.0764689i −0.00223204 + 0.00345451i
\(491\) −3.93613 + 14.6898i −0.177635 + 0.662942i 0.818453 + 0.574574i \(0.194832\pi\)
−0.996088 + 0.0883688i \(0.971835\pi\)
\(492\) 5.40579 11.6391i 0.243712 0.524729i
\(493\) −1.23191 4.59756i −0.0554825 0.207064i
\(494\) 13.0970 40.6279i 0.589262 1.82794i
\(495\) 0.0657397 + 0.00965524i 0.00295478 + 0.000433971i
\(496\) −7.44499 22.2120i −0.334290 0.997346i
\(497\) 8.69218 15.0553i 0.389898 0.675322i
\(498\) −3.81917 27.3310i −0.171141 1.22473i
\(499\) 29.4298 + 7.88570i 1.31746 + 0.353012i 0.848026 0.529955i \(-0.177791\pi\)
0.469434 + 0.882967i \(0.344458\pi\)
\(500\) −0.147922 0.180950i −0.00661526 0.00809234i
\(501\) 11.9286 + 4.14878i 0.532933 + 0.185354i
\(502\) 1.97349 + 0.0988495i 0.0880810 + 0.00441187i
\(503\) 1.90106i 0.0847639i −0.999101 0.0423820i \(-0.986505\pi\)
0.999101 0.0423820i \(-0.0134946\pi\)
\(504\) −10.3556 0.353983i −0.461273 0.0157676i
\(505\) 0.0814355i 0.00362383i
\(506\) −0.806137 + 16.0942i −0.0358372 + 0.715473i
\(507\) −4.72352 24.7093i −0.209779 1.09738i
\(508\) −1.14437 + 11.3947i −0.0507731 + 0.505560i
\(509\) 12.4896 + 3.34659i 0.553593 + 0.148335i 0.524761 0.851249i \(-0.324155\pi\)
0.0288320 + 0.999584i \(0.490821\pi\)
\(510\) 0.0165713 0.0409224i 0.000733788 0.00181208i
\(511\) −2.63819 + 4.56947i −0.116706 + 0.202142i
\(512\) 21.3697 7.43868i 0.944418 0.328746i
\(513\) 6.48734 29.1829i 0.286423 1.28846i
\(514\) 31.8234 + 10.2587i 1.40367 + 0.452494i
\(515\) 0.00770471 + 0.0287544i 0.000339510 + 0.00126707i
\(516\) 11.1374 13.3142i 0.490295 0.586124i
\(517\) −1.28734 + 4.80444i −0.0566174 + 0.211299i
\(518\) −1.89353 1.22346i −0.0831971 0.0537557i
\(519\) −23.1074 + 34.0300i −1.01430 + 1.49375i
\(520\) −0.172328 + 0.0193223i −0.00755710 + 0.000847339i
\(521\) 1.24885i 0.0547130i −0.999626 0.0273565i \(-0.991291\pi\)
0.999626 0.0273565i \(-0.00870893\pi\)
\(522\) −8.62792 + 9.84768i −0.377634 + 0.431021i
\(523\) 9.58031 + 9.58031i 0.418918 + 0.418918i 0.884831 0.465913i \(-0.154274\pi\)
−0.465913 + 0.884831i \(0.654274\pi\)
\(524\) 4.81058 12.7074i 0.210151 0.555125i
\(525\) −3.47387 + 9.98811i −0.151612 + 0.435917i
\(526\) −35.5416 + 7.64056i −1.54969 + 0.333144i
\(527\) −4.51656 7.82292i −0.196745 0.340772i
\(528\) 9.17941 + 9.38930i 0.399483 + 0.408617i
\(529\) 6.57248 11.3839i 0.285760 0.494951i
\(530\) −0.0637143 + 0.197647i −0.00276757 + 0.00858523i
\(531\) 25.0555 + 10.8193i 1.08732 + 0.469518i
\(532\) 2.26226 + 13.8678i 0.0980813 + 0.601247i
\(533\) −18.7735 + 5.03034i −0.813169 + 0.217888i
\(534\) −3.21773 + 26.0367i −0.139245 + 1.12672i
\(535\) 0.0504047 0.0291012i 0.00217918 0.00125815i
\(536\) 12.6916 + 32.3893i 0.548195 + 1.39900i
\(537\) −27.9695 2.04299i −1.20697 0.0881616i
\(538\) −1.36962 + 27.3439i −0.0590485 + 1.17888i
\(539\) −7.38278 7.38278i −0.317999 0.317999i
\(540\) −0.118908 + 0.0246940i −0.00511697 + 0.00106266i
\(541\) 13.0165 13.0165i 0.559622 0.559622i −0.369578 0.929200i \(-0.620498\pi\)
0.929200 + 0.369578i \(0.120498\pi\)
\(542\) −7.45678 + 6.74541i −0.320296 + 0.289740i
\(543\) −0.537699 + 7.36135i −0.0230749 + 0.315906i
\(544\) 7.50513 4.44960i 0.321780 0.190775i
\(545\) −0.0259743 0.0449887i −0.00111262 0.00192711i
\(546\) 9.65156 + 12.3735i 0.413049 + 0.529538i
\(547\) 2.61540 + 9.76080i 0.111826 + 0.417341i 0.999030 0.0440366i \(-0.0140218\pi\)
−0.887204 + 0.461378i \(0.847355\pi\)
\(548\) −4.92199 + 6.84086i −0.210257 + 0.292227i
\(549\) −37.3878 + 4.35545i −1.59567 + 0.185886i
\(550\) 11.9265 6.11167i 0.508550 0.260602i
\(551\) 15.3760 + 8.87733i 0.655039 + 0.378187i
\(552\) −8.71926 28.1328i −0.371116 1.19741i
\(553\) 0.553890 0.319788i 0.0235538 0.0135988i
\(554\) −17.2559 + 26.7068i −0.733133 + 1.13466i
\(555\) −0.0249567 0.00867994i −0.00105935 0.000368443i
\(556\) 30.3090 + 11.4740i 1.28539 + 0.486604i
\(557\) 26.6259 26.6259i 1.12818 1.12818i 0.137702 0.990474i \(-0.456029\pi\)
0.990474 0.137702i \(-0.0439715\pi\)
\(558\) −10.9792 + 22.2903i −0.464786 + 0.943622i
\(559\) −26.2889 −1.11190
\(560\) 0.0475821 0.0315298i 0.00201071 0.00133238i
\(561\) 4.18879 + 2.84431i 0.176851 + 0.120087i
\(562\) 31.6034 6.79395i 1.33311 0.286585i
\(563\) −21.1660 5.67141i −0.892039 0.239021i −0.216445 0.976295i \(-0.569446\pi\)
−0.675594 + 0.737274i \(0.736113\pi\)
\(564\) −0.806150 9.05526i −0.0339450 0.381295i
\(565\) 0.178552 0.0478429i 0.00751174 0.00201276i
\(566\) −3.98600 7.77843i −0.167544 0.326952i
\(567\) 7.53575 + 7.99973i 0.316472 + 0.335957i
\(568\) 32.4112 23.8935i 1.35994 1.00255i
\(569\) 8.15901 + 4.71061i 0.342044 + 0.197479i 0.661175 0.750231i \(-0.270058\pi\)
−0.319132 + 0.947710i \(0.603391\pi\)
\(570\) 0.0642295 + 0.151647i 0.00269028 + 0.00635180i
\(571\) 7.61666 28.4258i 0.318747 1.18958i −0.601702 0.798720i \(-0.705511\pi\)
0.920450 0.390861i \(-0.127823\pi\)
\(572\) 1.98721 19.7871i 0.0830894 0.827340i
\(573\) 7.67950 1.46805i 0.320816 0.0613285i
\(574\) 4.74445 4.29183i 0.198029 0.179138i
\(575\) −30.0595 −1.25357
\(576\) −21.6512 10.3550i −0.902132 0.431459i
\(577\) −42.9309 −1.78724 −0.893618 0.448828i \(-0.851842\pi\)
−0.893618 + 0.448828i \(0.851842\pi\)
\(578\) −15.3342 + 13.8713i −0.637818 + 0.576971i
\(579\) −2.00044 + 5.75170i −0.0831355 + 0.239033i
\(580\) 0.00720727 0.0717645i 0.000299266 0.00297986i
\(581\) 3.56071 13.2888i 0.147723 0.551310i
\(582\) −25.9371 + 34.3634i −1.07513 + 1.42441i
\(583\) −20.6244 11.9075i −0.854175 0.493158i
\(584\) −9.83721 + 7.25197i −0.407067 + 0.300089i
\(585\) 0.144232 + 0.114134i 0.00596324 + 0.00471884i
\(586\) −2.51559 4.90901i −0.103918 0.202789i
\(587\) 30.3611 8.13523i 1.25314 0.335777i 0.429589 0.903024i \(-0.358658\pi\)
0.823548 + 0.567247i \(0.191992\pi\)
\(588\) 17.3075 + 8.03853i 0.713751 + 0.331503i
\(589\) 32.5470 + 8.72095i 1.34108 + 0.359340i
\(590\) −0.146988 + 0.0315987i −0.00605138 + 0.00130090i
\(591\) −0.859962 + 11.7733i −0.0353741 + 0.484288i
\(592\) −2.88436 4.35282i −0.118546 0.178900i
\(593\) 0.434128 0.0178275 0.00891374 0.999960i \(-0.497163\pi\)
0.00891374 + 0.999960i \(0.497163\pi\)
\(594\) 0.0973487 13.9271i 0.00399427 0.571435i
\(595\) 0.0155634 0.0155634i 0.000638037 0.000638037i
\(596\) −7.29025 2.75984i −0.298620 0.113047i
\(597\) 6.11215 5.28002i 0.250154 0.216097i
\(598\) −24.2078 + 37.4661i −0.989929 + 1.53210i
\(599\) 3.46143 1.99846i 0.141430 0.0816547i −0.427615 0.903961i \(-0.640646\pi\)
0.569045 + 0.822306i \(0.307313\pi\)
\(600\) −16.6361 + 17.9779i −0.679168 + 0.733946i
\(601\) −3.54563 2.04707i −0.144629 0.0835019i 0.425939 0.904752i \(-0.359944\pi\)
−0.570569 + 0.821250i \(0.693277\pi\)
\(602\) 7.70119 3.94642i 0.313877 0.160844i
\(603\) 14.6273 33.8741i 0.595669 1.37946i
\(604\) 17.5440 24.3836i 0.713854 0.992155i
\(605\) 0.0224057 + 0.0836192i 0.000910922 + 0.00339961i
\(606\) −16.9053 + 2.36230i −0.686731 + 0.0959620i
\(607\) 16.8996 + 29.2709i 0.685932 + 1.18807i 0.973143 + 0.230202i \(0.0739386\pi\)
−0.287211 + 0.957867i \(0.592728\pi\)
\(608\) −8.05937 + 31.5322i −0.326851 + 1.27880i
\(609\) −5.87527 + 2.84304i −0.238078 + 0.115206i
\(610\) 0.153775 0.139105i 0.00622615 0.00563218i
\(611\) −9.73570 + 9.73570i −0.393864 + 0.393864i
\(612\) −8.97585 2.25296i −0.362827 0.0910706i
\(613\) 1.73094 + 1.73094i 0.0699119 + 0.0699119i 0.741198 0.671286i \(-0.234258\pi\)
−0.671286 + 0.741198i \(0.734258\pi\)
\(614\) 1.08168 21.5952i 0.0436529 0.871510i
\(615\) 0.0421233 0.0620346i 0.00169858 0.00250147i
\(616\) 2.38824 + 6.09484i 0.0962251 + 0.245568i
\(617\) −14.9093 + 8.60788i −0.600225 + 0.346540i −0.769130 0.639092i \(-0.779310\pi\)
0.168905 + 0.985632i \(0.445977\pi\)
\(618\) 5.74566 2.43354i 0.231124 0.0978915i
\(619\) 6.34645 1.70053i 0.255085 0.0683499i −0.129010 0.991643i \(-0.541180\pi\)
0.384095 + 0.923293i \(0.374513\pi\)
\(620\) −0.0220381 0.135095i −0.000885071 0.00542556i
\(621\) −14.4408 + 27.7016i −0.579490 + 1.11163i
\(622\) 9.78871 30.3653i 0.392491 1.21754i
\(623\) −6.53931 + 11.3264i −0.261992 + 0.453783i
\(624\) 9.01009 + 35.2134i 0.360692 + 1.40966i
\(625\) 12.4990 + 21.6489i 0.499959 + 0.865954i
\(626\) −8.25771 + 1.77520i −0.330045 + 0.0709514i
\(627\) −18.5507 + 3.54624i −0.740846 + 0.141623i
\(628\) −6.94428 + 18.3437i −0.277107 + 0.731992i
\(629\) −1.42374 1.42374i −0.0567684 0.0567684i
\(630\) −0.0593853 0.0117832i −0.00236597 0.000469453i
\(631\) 13.3295i 0.530639i −0.964161 0.265319i \(-0.914523\pi\)
0.964161 0.265319i \(-0.0854774\pi\)
\(632\) 1.47219 0.165069i 0.0585606 0.00656610i
\(633\) 13.6258 + 28.1583i 0.541577 + 1.11919i
\(634\) 22.1098 + 14.2856i 0.878091 + 0.567355i
\(635\) −0.0173188 + 0.0646345i −0.000687274 + 0.00256494i
\(636\) 42.8780 + 7.49315i 1.70022 + 0.297123i
\(637\) −7.48023 27.9166i −0.296377 1.10610i
\(638\) 7.87249 + 2.53781i 0.311675 + 0.100473i
\(639\) −42.2557 6.20612i −1.67161 0.245510i
\(640\) 0.130233 0.0227940i 0.00514790 0.000901012i
\(641\) 8.26044 14.3075i 0.326268 0.565113i −0.655500 0.755195i \(-0.727542\pi\)
0.981768 + 0.190082i \(0.0608755\pi\)
\(642\) −7.50330 9.61940i −0.296132 0.379648i
\(643\) −24.0050 6.43213i −0.946667 0.253659i −0.247719 0.968832i \(-0.579681\pi\)
−0.698947 + 0.715173i \(0.746348\pi\)
\(644\) 1.46722 14.6095i 0.0578168 0.575695i
\(645\) 0.0767519 0.0663027i 0.00302210 0.00261067i
\(646\) −0.627803 + 12.5338i −0.0247006 + 0.493136i
\(647\) 26.9660i 1.06014i −0.847954 0.530071i \(-0.822165\pi\)
0.847954 0.530071i \(-0.177835\pi\)
\(648\) 8.57556 + 23.9679i 0.336880 + 0.941548i
\(649\) 17.2418i 0.676800i
\(650\) 37.0499 + 1.85578i 1.45322 + 0.0727897i
\(651\) −9.37378 + 8.09761i −0.367387 + 0.317370i
\(652\) −9.35535 11.4442i −0.366384 0.448191i
\(653\) 5.27782 + 1.41419i 0.206537 + 0.0553414i 0.360604 0.932719i \(-0.382571\pi\)
−0.154067 + 0.988060i \(0.549237\pi\)
\(654\) −8.58581 + 6.69708i −0.335732 + 0.261877i
\(655\) 0.0396959 0.0687553i 0.00155105 0.00268649i
\(656\) 14.0502 4.70935i 0.548569 0.183869i
\(657\) 12.8251 + 1.88364i 0.500356 + 0.0734876i
\(658\) 1.39053 4.31352i 0.0542083 0.168159i
\(659\) −0.184661 0.689165i −0.00719337 0.0268460i 0.962236 0.272217i \(-0.0877569\pi\)
−0.969429 + 0.245371i \(0.921090\pi\)
\(660\) 0.0441029 + 0.0627815i 0.00171670 + 0.00244377i
\(661\) 9.89344 36.9228i 0.384810 1.43613i −0.453656 0.891177i \(-0.649880\pi\)
0.838466 0.544954i \(-0.183453\pi\)
\(662\) −8.09416 + 12.5272i −0.314588 + 0.486885i
\(663\) 6.10491 + 12.6161i 0.237095 + 0.489968i
\(664\) 19.8815 24.9029i 0.771551 0.966421i
\(665\) 0.0821010i 0.00318374i
\(666\) −1.07793 + 5.43259i −0.0417689 + 0.210508i
\(667\) −13.1190 13.1190i −0.507970 0.507970i
\(668\) 5.99314 + 13.2949i 0.231881 + 0.514397i
\(669\) −9.72326 + 1.85874i −0.375923 + 0.0718630i
\(670\) 0.0427202 + 0.198721i 0.00165042 + 0.00767728i
\(671\) 11.8899 + 20.5940i 0.459006 + 0.795022i
\(672\) −7.92559 8.96300i −0.305736 0.345755i
\(673\) −6.39173 + 11.0708i −0.246383 + 0.426748i −0.962520 0.271212i \(-0.912575\pi\)
0.716137 + 0.697960i \(0.245909\pi\)
\(674\) 32.6329 + 10.5197i 1.25697 + 0.405204i
\(675\) 25.9560 1.11828i 0.999046 0.0430427i
\(676\) 16.9654 23.5794i 0.652514 0.906901i
\(677\) −25.4595 + 6.82184i −0.978487 + 0.262185i −0.712407 0.701766i \(-0.752395\pi\)
−0.266079 + 0.963951i \(0.585728\pi\)
\(678\) −15.1113 35.6780i −0.580344 1.37021i
\(679\) −18.5875 + 10.7315i −0.713323 + 0.411837i
\(680\) 0.0474664 0.0185996i 0.00182025 0.000713261i
\(681\) −19.8207 + 29.1897i −0.759529 + 1.11855i
\(682\) 15.6780 + 0.785293i 0.600343 + 0.0300704i
\(683\) 9.42670 + 9.42670i 0.360703 + 0.360703i 0.864072 0.503369i \(-0.167906\pi\)
−0.503369 + 0.864072i \(0.667906\pi\)
\(684\) 29.6175 17.7325i 1.13245 0.678020i
\(685\) −0.0348195 + 0.0348195i −0.00133039 + 0.00133039i
\(686\) 14.4916 + 16.0199i 0.553293 + 0.611643i
\(687\) 5.98065 2.89404i 0.228176 0.110414i
\(688\) 20.0055 1.23413i 0.762703 0.0470509i
\(689\) −32.9613 57.0906i −1.25572 2.17498i
\(690\) −0.0238166 0.170438i −0.000906683 0.00648848i
\(691\) 4.07041 + 15.1910i 0.154846 + 0.577891i 0.999119 + 0.0419780i \(0.0133660\pi\)
−0.844273 + 0.535913i \(0.819967\pi\)
\(692\) −46.8776 + 7.64714i −1.78202 + 0.290700i
\(693\) 2.75248 6.37425i 0.104558 0.242138i
\(694\) −12.3990 24.1958i −0.470659 0.918462i
\(695\) 0.163992 + 0.0946807i 0.00622056 + 0.00359144i
\(696\) −15.1068 + 0.585597i −0.572620 + 0.0221970i
\(697\) 4.94841 2.85696i 0.187434 0.108215i
\(698\) −19.2360 12.4288i −0.728091 0.470437i
\(699\) 6.98666 6.03547i 0.264260 0.228283i
\(700\) −11.1321 + 5.01818i −0.420756 + 0.189670i
\(701\) 9.62303 9.62303i 0.363457 0.363457i −0.501627 0.865084i \(-0.667265\pi\)
0.865084 + 0.501627i \(0.167265\pi\)
\(702\) 19.5092 33.2520i 0.736328 1.25502i
\(703\) 7.51063 0.283269
\(704\) −0.583333 + 15.1510i −0.0219852 + 0.571026i
\(705\) 0.00386971 0.0529782i 0.000145742 0.00199527i
\(706\) 4.57372 + 21.2756i 0.172134 + 0.800717i
\(707\) −8.21961 2.20244i −0.309130 0.0828312i
\(708\) 10.8235 + 29.5967i 0.406771 + 1.11231i
\(709\) 40.3893 10.8223i 1.51685 0.406439i 0.598148 0.801386i \(-0.295904\pi\)
0.918704 + 0.394947i \(0.129237\pi\)
\(710\) 0.209386 0.107298i 0.00785812 0.00402683i
\(711\) −1.23216 0.975036i −0.0462097 0.0365667i
\(712\) −24.3836 + 17.9756i −0.913816 + 0.673663i
\(713\) −30.4931 17.6052i −1.14197 0.659319i
\(714\) −3.68229 2.77936i −0.137806 0.104015i
\(715\) 0.0300742 0.112239i 0.00112471 0.00419749i
\(716\) −20.4951 25.0713i −0.765938 0.936959i
\(717\) −15.7470 + 45.2759i −0.588081 + 1.69086i
\(718\) −2.82608 3.12412i −0.105468 0.116591i
\(719\) 48.7757 1.81903 0.909514 0.415674i \(-0.136454\pi\)
0.909514 + 0.415674i \(0.136454\pi\)
\(720\) −0.115116 0.0800833i −0.00429014 0.00298453i
\(721\) 3.11067 0.115847
\(722\) −13.3780 14.7888i −0.497876 0.550382i
\(723\) −2.88260 + 0.551050i −0.107205 + 0.0204938i
\(724\) −6.59858 + 5.39416i −0.245234 + 0.200472i
\(725\) −3.99343 + 14.9037i −0.148312 + 0.553509i
\(726\) 16.7087 7.07688i 0.620117 0.262648i
\(727\) −34.9918 20.2025i −1.29777 0.749270i −0.317755 0.948173i \(-0.602929\pi\)
−0.980019 + 0.198902i \(0.936262\pi\)
\(728\) −2.71037 + 17.9164i −0.100453 + 0.664024i
\(729\) 11.4389 24.4571i 0.423662 0.905820i
\(730\) −0.0635513 + 0.0325664i −0.00235214 + 0.00120534i
\(731\) 7.46535 2.00033i 0.276116 0.0739850i
\(732\) −33.3377 27.8871i −1.23220 1.03074i
\(733\) −28.4006 7.60991i −1.04900 0.281078i −0.307161 0.951658i \(-0.599379\pi\)
−0.741838 + 0.670579i \(0.766046\pi\)
\(734\) −7.46552 34.7273i −0.275557 1.28181i
\(735\) 0.0922468 + 0.0626383i 0.00340257 + 0.00231045i
\(736\) 16.6630 29.6477i 0.614205 1.09283i
\(737\) −23.3102 −0.858644
\(738\) −14.0998 6.94492i −0.519019 0.255646i
\(739\) 15.4222 15.4222i 0.567316 0.567316i −0.364060 0.931376i \(-0.618610\pi\)
0.931376 + 0.364060i \(0.118610\pi\)
\(740\) −0.0125386 0.0278152i −0.000460929 0.00102251i
\(741\) −49.3791 17.1740i −1.81399 0.630904i
\(742\) 18.2261 + 11.7763i 0.669102 + 0.432323i
\(743\) −21.5896 + 12.4647i −0.792045 + 0.457287i −0.840682 0.541529i \(-0.817845\pi\)
0.0486373 + 0.998817i \(0.484512\pi\)
\(744\) −27.4054 + 8.49380i −1.00473 + 0.311398i
\(745\) −0.0394451 0.0227736i −0.00144515 0.000834361i
\(746\) −19.2329 37.5319i −0.704167 1.37414i
\(747\) −33.5718 + 3.91091i −1.22833 + 0.143093i
\(748\) 0.941295 + 5.77022i 0.0344172 + 0.210980i
\(749\) −1.57409 5.87459i −0.0575161 0.214653i
\(750\) −0.225702 + 0.176052i −0.00824148 + 0.00642850i
\(751\) −21.2809 36.8596i −0.776551 1.34503i −0.933919 0.357486i \(-0.883634\pi\)
0.157368 0.987540i \(-0.449699\pi\)
\(752\) 6.95171 7.86579i 0.253503 0.286836i
\(753\) 0.176299 2.41362i 0.00642470 0.0879571i
\(754\) 15.3599 + 16.9797i 0.559374 + 0.618366i
\(755\) 0.124111 0.124111i 0.00451686 0.00451686i
\(756\) −0.723422 + 12.6697i −0.0263106 + 0.460792i
\(757\) 1.80855 + 1.80855i 0.0657328 + 0.0657328i 0.739209 0.673476i \(-0.235200\pi\)
−0.673476 + 0.739209i \(0.735200\pi\)
\(758\) 20.3715 + 1.02038i 0.739927 + 0.0370621i
\(759\) 19.6835 + 1.43775i 0.714467 + 0.0521872i
\(760\) −0.0761402 + 0.174258i −0.00276189 + 0.00632099i
\(761\) 18.5805 10.7275i 0.673543 0.388870i −0.123875 0.992298i \(-0.539532\pi\)
0.797418 + 0.603428i \(0.206199\pi\)
\(762\) 13.9200 + 1.72029i 0.504267 + 0.0623196i
\(763\) −5.24337 + 1.40496i −0.189823 + 0.0508629i
\(764\) 7.32835 + 5.27274i 0.265130 + 0.190761i
\(765\) −0.0496424 0.0214363i −0.00179482 0.000775029i
\(766\) 28.4679 + 9.17705i 1.02859 + 0.331580i
\(767\) 23.8636 41.3330i 0.861665 1.49245i
\(768\) −8.50966 26.3740i −0.307066 0.951688i
\(769\) −9.98382 17.2925i −0.360026 0.623583i 0.627939 0.778263i \(-0.283899\pi\)
−0.987965 + 0.154680i \(0.950565\pi\)
\(770\) 0.00803886 + 0.0373944i 0.000289701 + 0.00134760i
\(771\) 13.4522 38.6781i 0.484471 1.39296i