Properties

Label 300.2.n.a.131.42
Level $300$
Weight $2$
Character 300.131
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 131.42
Character \(\chi\) \(=\) 300.131
Dual form 300.2.n.a.71.42

$q$-expansion

\(f(q)\) \(=\) \(q+(0.936272 - 1.05990i) q^{2} +(1.02789 + 1.39408i) q^{3} +(-0.246789 - 1.98472i) q^{4} +(1.49656 + 1.66142i) q^{5} +(2.43997 + 0.215777i) q^{6} -4.44836i q^{7} +(-2.33467 - 1.59666i) q^{8} +(-0.886903 + 2.86590i) q^{9} +O(q^{10})\) \(q+(0.936272 - 1.05990i) q^{2} +(1.02789 + 1.39408i) q^{3} +(-0.246789 - 1.98472i) q^{4} +(1.49656 + 1.66142i) q^{5} +(2.43997 + 0.215777i) q^{6} -4.44836i q^{7} +(-2.33467 - 1.59666i) q^{8} +(-0.886903 + 2.86590i) q^{9} +(3.16213 - 0.0306693i) q^{10} +(1.38440 + 4.26075i) q^{11} +(2.51318 - 2.38410i) q^{12} +(1.09944 - 3.38374i) q^{13} +(-4.71483 - 4.16487i) q^{14} +(-0.777853 + 3.79407i) q^{15} +(-3.87819 + 0.979612i) q^{16} +(-0.229964 + 0.316518i) q^{17} +(2.20720 + 3.62330i) q^{18} +(-1.18868 + 1.63607i) q^{19} +(2.92811 - 3.38027i) q^{20} +(6.20135 - 4.57240i) q^{21} +(5.81216 + 2.52189i) q^{22} +(0.927671 + 2.85508i) q^{23} +(-0.173902 - 4.89589i) q^{24} +(-0.520618 + 4.97282i) q^{25} +(-2.55706 - 4.33340i) q^{26} +(-4.90693 + 1.70941i) q^{27} +(-8.82872 + 1.09781i) q^{28} +(-4.65476 - 6.40673i) q^{29} +(3.29306 + 4.37673i) q^{30} +(-0.713204 + 0.981641i) q^{31} +(-2.59275 + 5.02769i) q^{32} +(-4.51681 + 6.30953i) q^{33} +(0.120170 + 0.540087i) q^{34} +(7.39058 - 6.65723i) q^{35} +(5.90688 + 1.05298i) q^{36} +(-0.145467 + 0.447702i) q^{37} +(0.621154 + 2.79169i) q^{38} +(5.84730 - 1.94539i) q^{39} +(-0.841249 - 6.26836i) q^{40} +(-7.88511 - 2.56203i) q^{41} +(0.959852 - 10.8538i) q^{42} -5.44861i q^{43} +(8.11472 - 3.79915i) q^{44} +(-6.08877 + 2.81548i) q^{45} +(3.89466 + 1.68989i) q^{46} +(-5.11114 + 3.71346i) q^{47} +(-5.35199 - 4.39957i) q^{48} -12.7879 q^{49} +(4.78327 + 5.20772i) q^{50} +(-0.677627 + 0.00475698i) q^{51} +(-6.98709 - 1.34701i) q^{52} +(1.31817 + 1.81430i) q^{53} +(-2.78241 + 6.80134i) q^{54} +(-5.00705 + 8.67654i) q^{55} +(-7.10252 + 10.3854i) q^{56} +(-3.50263 + 0.0245887i) q^{57} +(-11.1486 - 1.06485i) q^{58} +(-0.692164 + 2.13026i) q^{59} +(7.72211 + 0.607481i) q^{60} +(-1.80354 - 5.55073i) q^{61} +(0.372691 + 1.67501i) q^{62} +(12.7486 + 3.94526i) q^{63} +(2.90135 + 7.45535i) q^{64} +(7.26719 - 3.23733i) q^{65} +(2.45852 + 10.6948i) q^{66} +(4.83312 - 6.65222i) q^{67} +(0.684951 + 0.378300i) q^{68} +(-3.02666 + 4.22794i) q^{69} +(-0.136428 - 14.0663i) q^{70} +(-1.00092 + 0.727211i) q^{71} +(6.64650 - 5.27485i) q^{72} +(4.53913 + 13.9700i) q^{73} +(0.338324 + 0.573351i) q^{74} +(-7.46763 + 4.38571i) q^{75} +(3.54049 + 1.95542i) q^{76} +(18.9533 - 6.15832i) q^{77} +(3.41274 - 8.01898i) q^{78} +(5.87041 + 8.07993i) q^{79} +(-7.43149 - 4.97725i) q^{80} +(-7.42681 - 5.08356i) q^{81} +(-10.0981 + 5.95870i) q^{82} +(4.74358 + 3.44641i) q^{83} +(-10.6053 - 11.1795i) q^{84} +(-0.870024 + 0.0916222i) q^{85} +(-5.77500 - 5.10138i) q^{86} +(4.14692 - 13.0745i) q^{87} +(3.57086 - 12.1579i) q^{88} +(13.5301 - 4.39618i) q^{89} +(-2.71661 + 9.08956i) q^{90} +(-15.0521 - 4.89072i) q^{91} +(5.43758 - 2.54577i) q^{92} +(-2.10158 + 0.0147532i) q^{93} +(-0.849510 + 8.89413i) q^{94} +(-4.49712 + 0.473592i) q^{95} +(-9.67403 + 1.55340i) q^{96} +(9.45285 - 6.86790i) q^{97} +(-11.9729 + 13.5539i) q^{98} +(-13.4387 + 0.188690i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.936272 1.05990i 0.662044 0.749465i
\(3\) 1.02789 + 1.39408i 0.593450 + 0.804871i
\(4\) −0.246789 1.98472i −0.123395 0.992358i
\(5\) 1.49656 + 1.66142i 0.669282 + 0.743009i
\(6\) 2.43997 + 0.215777i 0.996112 + 0.0880904i
\(7\) 4.44836i 1.68132i −0.541562 0.840661i \(-0.682167\pi\)
0.541562 0.840661i \(-0.317833\pi\)
\(8\) −2.33467 1.59666i −0.825430 0.564505i
\(9\) −0.886903 + 2.86590i −0.295634 + 0.955301i
\(10\) 3.16213 0.0306693i 0.999953 0.00969848i
\(11\) 1.38440 + 4.26075i 0.417413 + 1.28466i 0.910075 + 0.414444i \(0.136024\pi\)
−0.492662 + 0.870221i \(0.663976\pi\)
\(12\) 2.51318 2.38410i 0.725491 0.688231i
\(13\) 1.09944 3.38374i 0.304931 0.938481i −0.674772 0.738026i \(-0.735758\pi\)
0.979703 0.200454i \(-0.0642419\pi\)
\(14\) −4.71483 4.16487i −1.26009 1.11311i
\(15\) −0.777853 + 3.79407i −0.200841 + 0.979624i
\(16\) −3.87819 + 0.979612i −0.969548 + 0.244903i
\(17\) −0.229964 + 0.316518i −0.0557744 + 0.0767669i −0.835993 0.548740i \(-0.815108\pi\)
0.780219 + 0.625507i \(0.215108\pi\)
\(18\) 2.20720 + 3.62330i 0.520241 + 0.854019i
\(19\) −1.18868 + 1.63607i −0.272701 + 0.375341i −0.923299 0.384081i \(-0.874518\pi\)
0.650598 + 0.759422i \(0.274518\pi\)
\(20\) 2.92811 3.38027i 0.654745 0.755850i
\(21\) 6.20135 4.57240i 1.35325 0.997780i
\(22\) 5.81216 + 2.52189i 1.23916 + 0.537669i
\(23\) 0.927671 + 2.85508i 0.193433 + 0.595325i 0.999991 + 0.00417066i \(0.00132757\pi\)
−0.806559 + 0.591154i \(0.798672\pi\)
\(24\) −0.173902 4.89589i −0.0354976 0.999370i
\(25\) −0.520618 + 4.97282i −0.104124 + 0.994564i
\(26\) −2.55706 4.33340i −0.501480 0.849851i
\(27\) −4.90693 + 1.70941i −0.944338 + 0.328976i
\(28\) −8.82872 + 1.09781i −1.66847 + 0.207466i
\(29\) −4.65476 6.40673i −0.864368 1.18970i −0.980510 0.196468i \(-0.937053\pi\)
0.116142 0.993233i \(-0.462947\pi\)
\(30\) 3.29306 + 4.37673i 0.601228 + 0.799077i
\(31\) −0.713204 + 0.981641i −0.128095 + 0.176308i −0.868247 0.496131i \(-0.834753\pi\)
0.740152 + 0.672439i \(0.234753\pi\)
\(32\) −2.59275 + 5.02769i −0.458337 + 0.888778i
\(33\) −4.51681 + 6.30953i −0.786276 + 1.09835i
\(34\) 0.120170 + 0.540087i 0.0206090 + 0.0926241i
\(35\) 7.39058 6.65723i 1.24924 1.12528i
\(36\) 5.90688 + 1.05298i 0.984480 + 0.175496i
\(37\) −0.145467 + 0.447702i −0.0239146 + 0.0736017i −0.962302 0.271985i \(-0.912320\pi\)
0.938387 + 0.345586i \(0.112320\pi\)
\(38\) 0.621154 + 2.79169i 0.100764 + 0.452872i
\(39\) 5.84730 1.94539i 0.936317 0.311511i
\(40\) −0.841249 6.26836i −0.133013 0.991114i
\(41\) −7.88511 2.56203i −1.23145 0.400121i −0.380209 0.924901i \(-0.624148\pi\)
−0.851238 + 0.524779i \(0.824148\pi\)
\(42\) 0.959852 10.8538i 0.148108 1.67479i
\(43\) 5.44861i 0.830905i −0.909615 0.415453i \(-0.863623\pi\)
0.909615 0.415453i \(-0.136377\pi\)
\(44\) 8.11472 3.79915i 1.22334 0.572744i
\(45\) −6.08877 + 2.81548i −0.907660 + 0.419707i
\(46\) 3.89466 + 1.68989i 0.574236 + 0.249160i
\(47\) −5.11114 + 3.71346i −0.745537 + 0.541664i −0.894440 0.447187i \(-0.852426\pi\)
0.148903 + 0.988852i \(0.452426\pi\)
\(48\) −5.35199 4.39957i −0.772493 0.635023i
\(49\) −12.7879 −1.82684
\(50\) 4.78327 + 5.20772i 0.676456 + 0.736483i
\(51\) −0.677627 + 0.00475698i −0.0948868 + 0.000666110i
\(52\) −6.98709 1.34701i −0.968935 0.186797i
\(53\) 1.31817 + 1.81430i 0.181064 + 0.249214i 0.889895 0.456165i \(-0.150777\pi\)
−0.708831 + 0.705378i \(0.750777\pi\)
\(54\) −2.78241 + 6.80134i −0.378638 + 0.925545i
\(55\) −5.00705 + 8.67654i −0.675150 + 1.16994i
\(56\) −7.10252 + 10.3854i −0.949114 + 1.38781i
\(57\) −3.50263 + 0.0245887i −0.463935 + 0.00325685i
\(58\) −11.1486 1.06485i −1.46389 0.139821i
\(59\) −0.692164 + 2.13026i −0.0901121 + 0.277337i −0.985949 0.167046i \(-0.946577\pi\)
0.895837 + 0.444383i \(0.146577\pi\)
\(60\) 7.72211 + 0.607481i 0.996920 + 0.0784255i
\(61\) −1.80354 5.55073i −0.230920 0.710698i −0.997637 0.0687122i \(-0.978111\pi\)
0.766717 0.641985i \(-0.221889\pi\)
\(62\) 0.372691 + 1.67501i 0.0473319 + 0.212727i
\(63\) 12.7486 + 3.94526i 1.60617 + 0.497056i
\(64\) 2.90135 + 7.45535i 0.362668 + 0.931918i
\(65\) 7.26719 3.23733i 0.901384 0.401542i
\(66\) 2.45852 + 10.6948i 0.302623 + 1.31644i
\(67\) 4.83312 6.65222i 0.590459 0.812698i −0.404334 0.914611i \(-0.632497\pi\)
0.994793 + 0.101914i \(0.0324966\pi\)
\(68\) 0.684951 + 0.378300i 0.0830625 + 0.0458756i
\(69\) −3.02666 + 4.22794i −0.364367 + 0.508984i
\(70\) −0.136428 14.0663i −0.0163063 1.68124i
\(71\) −1.00092 + 0.727211i −0.118787 + 0.0863040i −0.645593 0.763682i \(-0.723390\pi\)
0.526805 + 0.849986i \(0.323390\pi\)
\(72\) 6.64650 5.27485i 0.783298 0.621647i
\(73\) 4.53913 + 13.9700i 0.531265 + 1.63507i 0.751583 + 0.659638i \(0.229291\pi\)
−0.220318 + 0.975428i \(0.570709\pi\)
\(74\) 0.338324 + 0.573351i 0.0393293 + 0.0666507i
\(75\) −7.46763 + 4.38571i −0.862288 + 0.506418i
\(76\) 3.54049 + 1.95542i 0.406122 + 0.224302i
\(77\) 18.9533 6.15832i 2.15993 0.701805i
\(78\) 3.41274 8.01898i 0.386417 0.907971i
\(79\) 5.87041 + 8.07993i 0.660473 + 0.909063i 0.999497 0.0317146i \(-0.0100967\pi\)
−0.339024 + 0.940778i \(0.610097\pi\)
\(80\) −7.43149 4.97725i −0.830866 0.556473i
\(81\) −7.42681 5.08356i −0.825201 0.564840i
\(82\) −10.0981 + 5.95870i −1.11515 + 0.658028i
\(83\) 4.74358 + 3.44641i 0.520675 + 0.378293i 0.816858 0.576839i \(-0.195714\pi\)
−0.296183 + 0.955131i \(0.595714\pi\)
\(84\) −10.6053 11.1795i −1.15714 1.21978i
\(85\) −0.870024 + 0.0916222i −0.0943673 + 0.00993783i
\(86\) −5.77500 5.10138i −0.622734 0.550096i
\(87\) 4.14692 13.0745i 0.444596 1.40173i
\(88\) 3.57086 12.1579i 0.380655 1.29603i
\(89\) 13.5301 4.39618i 1.43418 0.465994i 0.514104 0.857728i \(-0.328125\pi\)
0.920079 + 0.391734i \(0.128125\pi\)
\(90\) −2.71661 + 9.08956i −0.286355 + 0.958123i
\(91\) −15.0521 4.89072i −1.57789 0.512687i
\(92\) 5.43758 2.54577i 0.566907 0.265414i
\(93\) −2.10158 + 0.0147532i −0.217923 + 0.00152983i
\(94\) −0.849510 + 8.89413i −0.0876203 + 0.917360i
\(95\) −4.49712 + 0.473592i −0.461395 + 0.0485896i
\(96\) −9.67403 + 1.55340i −0.987352 + 0.158543i
\(97\) 9.45285 6.86790i 0.959792 0.697329i 0.00668928 0.999978i \(-0.497871\pi\)
0.953102 + 0.302648i \(0.0978707\pi\)
\(98\) −11.9729 + 13.5539i −1.20945 + 1.36915i
\(99\) −13.4387 + 0.188690i −1.35064 + 0.0189641i
\(100\) 9.99812 0.193960i 0.999812 0.0193960i
\(101\) 6.69608i 0.666285i 0.942876 + 0.333143i \(0.108109\pi\)
−0.942876 + 0.333143i \(0.891891\pi\)
\(102\) −0.629402 + 0.722673i −0.0623201 + 0.0715553i
\(103\) −3.72898 5.13250i −0.367427 0.505720i 0.584772 0.811198i \(-0.301184\pi\)
−0.952199 + 0.305477i \(0.901184\pi\)
\(104\) −7.96952 + 6.14447i −0.781476 + 0.602515i
\(105\) 16.8774 + 3.46017i 1.64706 + 0.337678i
\(106\) 3.15715 + 0.301550i 0.306649 + 0.0292892i
\(107\) 6.38914 0.617661 0.308831 0.951117i \(-0.400062\pi\)
0.308831 + 0.951117i \(0.400062\pi\)
\(108\) 4.60367 + 9.31699i 0.442988 + 0.896527i
\(109\) 0.451526 1.38966i 0.0432484 0.133105i −0.927101 0.374812i \(-0.877707\pi\)
0.970349 + 0.241707i \(0.0777073\pi\)
\(110\) 4.50833 + 13.4306i 0.429853 + 1.28056i
\(111\) −0.773654 + 0.257394i −0.0734320 + 0.0244307i
\(112\) 4.35767 + 17.2516i 0.411761 + 1.63012i
\(113\) −6.13733 1.99414i −0.577352 0.187593i 0.00576212 0.999983i \(-0.498166\pi\)
−0.583114 + 0.812390i \(0.698166\pi\)
\(114\) −3.25336 + 3.73547i −0.304705 + 0.349859i
\(115\) −3.35516 + 5.81404i −0.312870 + 0.542162i
\(116\) −11.5668 + 10.8195i −1.07395 + 1.00456i
\(117\) 8.72237 + 6.15195i 0.806384 + 0.568748i
\(118\) 1.60982 + 2.72813i 0.148196 + 0.251145i
\(119\) 1.40799 + 1.02296i 0.129070 + 0.0937748i
\(120\) 7.87387 7.61592i 0.718782 0.695235i
\(121\) −7.33824 + 5.33155i −0.667113 + 0.484686i
\(122\) −7.57184 3.28541i −0.685522 0.297447i
\(123\) −4.53333 13.6259i −0.408756 1.22861i
\(124\) 2.12429 + 1.17325i 0.190767 + 0.105361i
\(125\) −9.04107 + 6.57716i −0.808658 + 0.588279i
\(126\) 16.1177 9.81841i 1.43588 0.874693i
\(127\) 7.42220 2.41162i 0.658614 0.213997i 0.0394056 0.999223i \(-0.487454\pi\)
0.619208 + 0.785227i \(0.287454\pi\)
\(128\) 10.6184 + 3.90509i 0.938542 + 0.345164i
\(129\) 7.59579 5.60055i 0.668772 0.493101i
\(130\) 3.37281 10.7335i 0.295815 0.941394i
\(131\) −9.44141 6.85959i −0.824900 0.599325i 0.0932120 0.995646i \(-0.470287\pi\)
−0.918112 + 0.396322i \(0.870287\pi\)
\(132\) 13.6373 + 7.40746i 1.18698 + 0.644736i
\(133\) 7.27783 + 5.28766i 0.631068 + 0.458498i
\(134\) −2.52559 11.3509i −0.218178 0.980570i
\(135\) −10.1836 5.59422i −0.876461 0.481474i
\(136\) 1.04226 0.371790i 0.0893732 0.0318808i
\(137\) −18.6455 6.05827i −1.59299 0.517593i −0.627628 0.778513i \(-0.715974\pi\)
−0.965360 + 0.260920i \(0.915974\pi\)
\(138\) 1.64743 + 7.16647i 0.140238 + 0.610050i
\(139\) 10.8688 3.53149i 0.921880 0.299537i 0.190642 0.981660i \(-0.438943\pi\)
0.731238 + 0.682123i \(0.238943\pi\)
\(140\) −15.0366 13.0253i −1.27083 1.10084i
\(141\) −10.4305 3.30831i −0.878409 0.278610i
\(142\) −0.166360 + 1.74174i −0.0139606 + 0.146164i
\(143\) 15.9393 1.33291
\(144\) 0.632103 11.9833i 0.0526753 0.998612i
\(145\) 3.67813 17.3216i 0.305452 1.43848i
\(146\) 19.0567 + 8.26869i 1.57715 + 0.684322i
\(147\) −13.1445 17.8273i −1.08414 1.47037i
\(148\) 0.924460 + 0.178223i 0.0759901 + 0.0146498i
\(149\) 6.42585i 0.526426i −0.964738 0.263213i \(-0.915218\pi\)
0.964738 0.263213i \(-0.0847823\pi\)
\(150\) −2.34331 + 12.0212i −0.191330 + 0.981526i
\(151\) 1.05274i 0.0856707i −0.999082 0.0428354i \(-0.986361\pi\)
0.999082 0.0428354i \(-0.0136391\pi\)
\(152\) 5.38742 1.92177i 0.436977 0.155876i
\(153\) −0.703155 0.939775i −0.0568467 0.0759763i
\(154\) 11.2183 25.8546i 0.903994 2.08342i
\(155\) −2.69827 + 0.284155i −0.216730 + 0.0228239i
\(156\) −5.30409 11.1251i −0.424667 0.890722i
\(157\) 5.30828 0.423647 0.211823 0.977308i \(-0.432060\pi\)
0.211823 + 0.977308i \(0.432060\pi\)
\(158\) 14.0602 + 1.34294i 1.11857 + 0.106839i
\(159\) −1.17435 + 3.70252i −0.0931322 + 0.293629i
\(160\) −12.2333 + 3.21660i −0.967127 + 0.254295i
\(161\) 12.7004 4.12661i 1.00093 0.325223i
\(162\) −12.3416 + 3.11210i −0.969647 + 0.244510i
\(163\) 3.63364 + 1.18064i 0.284609 + 0.0924749i 0.447842 0.894112i \(-0.352193\pi\)
−0.163234 + 0.986587i \(0.552193\pi\)
\(164\) −3.13894 + 16.2820i −0.245110 + 1.27141i
\(165\) −17.2424 + 1.93828i −1.34232 + 0.150895i
\(166\) 8.09414 1.80095i 0.628227 0.139781i
\(167\) −9.33350 6.78118i −0.722248 0.524744i 0.164854 0.986318i \(-0.447285\pi\)
−0.887102 + 0.461574i \(0.847285\pi\)
\(168\) −21.7787 + 0.773579i −1.68026 + 0.0596829i
\(169\) 0.276303 + 0.200746i 0.0212541 + 0.0154420i
\(170\) −0.717468 + 1.00792i −0.0550273 + 0.0773043i
\(171\) −3.63458 4.85767i −0.277944 0.371475i
\(172\) −10.8139 + 1.34466i −0.824555 + 0.102529i
\(173\) 20.8699 6.78105i 1.58671 0.515553i 0.622936 0.782273i \(-0.285940\pi\)
0.963774 + 0.266719i \(0.0859396\pi\)
\(174\) −9.97505 16.6366i −0.756206 1.26122i
\(175\) 22.1209 + 2.31589i 1.67218 + 0.175065i
\(176\) −9.54286 15.1678i −0.719320 1.14332i
\(177\) −3.68122 + 1.22474i −0.276697 + 0.0920568i
\(178\) 8.00829 18.4566i 0.600246 1.38338i
\(179\) 16.8993 12.2781i 1.26312 0.917707i 0.264209 0.964465i \(-0.414889\pi\)
0.998906 + 0.0467581i \(0.0148890\pi\)
\(180\) 7.09057 + 11.3896i 0.528500 + 0.848933i
\(181\) 4.13556 + 3.00466i 0.307394 + 0.223335i 0.730777 0.682616i \(-0.239158\pi\)
−0.423384 + 0.905951i \(0.639158\pi\)
\(182\) −19.2765 + 11.3747i −1.42887 + 0.843149i
\(183\) 5.88431 8.21978i 0.434981 0.607624i
\(184\) 2.39279 8.14684i 0.176399 0.600593i
\(185\) −0.961519 + 0.428331i −0.0706923 + 0.0314915i
\(186\) −1.95201 + 2.24128i −0.143128 + 0.164339i
\(187\) −1.66697 0.541631i −0.121901 0.0396080i
\(188\) 8.63154 + 9.22773i 0.629520 + 0.673001i
\(189\) 7.60407 + 21.8278i 0.553114 + 1.58774i
\(190\) −3.70857 + 5.20993i −0.269048 + 0.377968i
\(191\) 4.84899 14.9237i 0.350861 1.07984i −0.607510 0.794312i \(-0.707832\pi\)
0.958371 0.285526i \(-0.0921684\pi\)
\(192\) −7.41108 + 11.7079i −0.534848 + 0.844948i
\(193\) 4.49363 0.323458 0.161729 0.986835i \(-0.448293\pi\)
0.161729 + 0.986835i \(0.448293\pi\)
\(194\) 1.57113 16.4493i 0.112801 1.18099i
\(195\) 11.9829 + 6.80341i 0.858115 + 0.487203i
\(196\) 3.15591 + 25.3803i 0.225422 + 1.81288i
\(197\) 7.11400 + 9.79158i 0.506851 + 0.697621i 0.983384 0.181536i \(-0.0581068\pi\)
−0.476533 + 0.879157i \(0.658107\pi\)
\(198\) −12.3823 + 14.4204i −0.879973 + 1.02481i
\(199\) 20.3372i 1.44166i 0.693111 + 0.720831i \(0.256240\pi\)
−0.693111 + 0.720831i \(0.743760\pi\)
\(200\) 9.15538 10.7786i 0.647383 0.762165i
\(201\) 14.2416 0.0999767i 1.00452 0.00705181i
\(202\) 7.09720 + 6.26935i 0.499357 + 0.441110i
\(203\) −28.4994 + 20.7061i −2.00027 + 1.45328i
\(204\) 0.176672 + 1.34372i 0.0123695 + 0.0940795i
\(205\) −7.54394 16.9347i −0.526892 1.18277i
\(206\) −8.93129 0.853060i −0.622273 0.0594355i
\(207\) −9.00513 + 0.126439i −0.625900 + 0.00878813i
\(208\) −0.949099 + 14.1998i −0.0658081 + 0.984580i
\(209\) −8.61650 2.79967i −0.596016 0.193657i
\(210\) 19.4693 14.6487i 1.34351 1.01086i
\(211\) −19.5571 + 6.35448i −1.34637 + 0.437461i −0.891468 0.453083i \(-0.850324\pi\)
−0.454897 + 0.890544i \(0.650324\pi\)
\(212\) 3.27556 3.06394i 0.224967 0.210432i
\(213\) −2.04262 0.647870i −0.139958 0.0443913i
\(214\) 5.98197 6.77187i 0.408919 0.462915i
\(215\) 9.05242 8.15417i 0.617370 0.556110i
\(216\) 14.1854 + 3.84379i 0.965193 + 0.261537i
\(217\) 4.36669 + 3.17259i 0.296430 + 0.215369i
\(218\) −1.05015 1.77967i −0.0711250 0.120534i
\(219\) −14.8096 + 20.6875i −1.00074 + 1.39793i
\(220\) 18.4561 + 7.79629i 1.24431 + 0.525626i
\(221\) 0.818183 + 1.12613i 0.0550369 + 0.0757518i
\(222\) −0.451538 + 1.06099i −0.0303053 + 0.0712089i
\(223\) 15.7150 5.10611i 1.05235 0.341930i 0.268761 0.963207i \(-0.413386\pi\)
0.783591 + 0.621277i \(0.213386\pi\)
\(224\) 22.3650 + 11.5335i 1.49432 + 0.770612i
\(225\) −13.7899 5.90245i −0.919326 0.393497i
\(226\) −7.85981 + 4.63792i −0.522827 + 0.308510i
\(227\) 0.928387 + 2.85728i 0.0616192 + 0.189645i 0.977127 0.212655i \(-0.0682110\pi\)
−0.915508 + 0.402300i \(0.868211\pi\)
\(228\) 0.913213 + 6.94566i 0.0604790 + 0.459988i
\(229\) 3.25202 2.36273i 0.214900 0.156134i −0.475128 0.879917i \(-0.657598\pi\)
0.690028 + 0.723783i \(0.257598\pi\)
\(230\) 3.02098 + 8.99967i 0.199197 + 0.593421i
\(231\) 28.0670 + 20.0924i 1.84668 + 1.32198i
\(232\) 0.637946 + 22.3897i 0.0418832 + 1.46995i
\(233\) −5.51252 + 7.58733i −0.361137 + 0.497063i −0.950465 0.310831i \(-0.899393\pi\)
0.589328 + 0.807894i \(0.299393\pi\)
\(234\) 14.6870 3.48497i 0.960118 0.227820i
\(235\) −13.8187 2.93433i −0.901436 0.191414i
\(236\) 4.39878 + 0.848023i 0.286336 + 0.0552016i
\(237\) −5.22993 + 16.4891i −0.339721 + 1.07108i
\(238\) 2.40250 0.534558i 0.155731 0.0346503i
\(239\) −0.479017 1.47426i −0.0309850 0.0953621i 0.934368 0.356309i \(-0.115965\pi\)
−0.965353 + 0.260947i \(0.915965\pi\)
\(240\) −0.700055 15.4761i −0.0451883 0.998978i
\(241\) 0.380229 1.17023i 0.0244927 0.0753808i −0.938063 0.346465i \(-0.887382\pi\)
0.962556 + 0.271084i \(0.0873821\pi\)
\(242\) −1.21967 + 12.7696i −0.0784034 + 0.820861i
\(243\) −0.547037 15.5789i −0.0350925 0.999384i
\(244\) −10.5715 + 4.94937i −0.676772 + 0.316851i
\(245\) −19.1378 21.2460i −1.22267 1.35736i
\(246\) −18.6866 7.95269i −1.19141 0.507045i
\(247\) 4.22916 + 5.82094i 0.269095 + 0.370378i
\(248\) 3.23244 1.15306i 0.205260 0.0732194i
\(249\) 0.0712916 + 10.1554i 0.00451792 + 0.643574i
\(250\) −1.49375 + 15.7407i −0.0944729 + 0.995527i
\(251\) −20.1812 −1.27382 −0.636912 0.770937i \(-0.719788\pi\)
−0.636912 + 0.770937i \(0.719788\pi\)
\(252\) 4.68401 26.2759i 0.295065 1.65523i
\(253\) −10.8805 + 7.90515i −0.684052 + 0.496993i
\(254\) 4.39312 10.1247i 0.275649 0.635283i
\(255\) −1.02201 1.11870i −0.0640010 0.0700559i
\(256\) 14.0807 7.59825i 0.880045 0.474890i
\(257\) 26.8707i 1.67615i 0.545558 + 0.838073i \(0.316318\pi\)
−0.545558 + 0.838073i \(0.683682\pi\)
\(258\) 1.17568 13.2944i 0.0731948 0.827675i
\(259\) 1.99154 + 0.647089i 0.123748 + 0.0402082i
\(260\) −8.21865 13.6244i −0.509699 0.844947i
\(261\) 22.4894 7.65796i 1.39206 0.474016i
\(262\) −16.1102 + 3.58454i −0.995293 + 0.221454i
\(263\) 7.19187 22.1343i 0.443470 1.36486i −0.440684 0.897662i \(-0.645264\pi\)
0.884153 0.467197i \(-0.154736\pi\)
\(264\) 20.6194 7.51884i 1.26904 0.462752i
\(265\) −1.04160 + 4.90524i −0.0639848 + 0.301326i
\(266\) 12.4184 2.76311i 0.761423 0.169417i
\(267\) 20.0360 + 14.3432i 1.22618 + 0.877788i
\(268\) −14.3955 7.95067i −0.879346 0.485664i
\(269\) −14.3549 + 19.7578i −0.875233 + 1.20465i 0.102486 + 0.994734i \(0.467320\pi\)
−0.977719 + 0.209920i \(0.932680\pi\)
\(270\) −15.4639 + 5.55587i −0.941103 + 0.338119i
\(271\) −6.36896 8.76613i −0.386887 0.532504i 0.570506 0.821294i \(-0.306747\pi\)
−0.957393 + 0.288789i \(0.906747\pi\)
\(272\) 0.581779 1.45279i 0.0352755 0.0880885i
\(273\) −8.65378 26.0109i −0.523751 1.57425i
\(274\) −23.8784 + 14.0902i −1.44255 + 0.851219i
\(275\) −21.9087 + 4.66616i −1.32114 + 0.281380i
\(276\) 9.13820 + 4.96365i 0.550055 + 0.298777i
\(277\) −8.74527 26.9152i −0.525452 1.61718i −0.763420 0.645903i \(-0.776481\pi\)
0.237967 0.971273i \(-0.423519\pi\)
\(278\) 6.43312 14.8263i 0.385833 0.889223i
\(279\) −2.18075 2.91459i −0.130558 0.174492i
\(280\) −27.8839 + 3.74218i −1.66638 + 0.223638i
\(281\) −1.34596 + 1.85256i −0.0802933 + 0.110514i −0.847274 0.531155i \(-0.821758\pi\)
0.766981 + 0.641670i \(0.221758\pi\)
\(282\) −13.2723 + 7.95787i −0.790354 + 0.473884i
\(283\) −4.87581 + 6.71097i −0.289837 + 0.398926i −0.928961 0.370177i \(-0.879297\pi\)
0.639124 + 0.769103i \(0.279297\pi\)
\(284\) 1.69032 + 1.80707i 0.100302 + 0.107230i
\(285\) −5.28275 5.78254i −0.312923 0.342528i
\(286\) 14.9236 16.8942i 0.882449 0.998973i
\(287\) −11.3968 + 35.0758i −0.672733 + 2.07046i
\(288\) −12.1094 11.8896i −0.713551 0.700603i
\(289\) 5.20599 + 16.0224i 0.306235 + 0.942493i
\(290\) −14.9155 20.1162i −0.875866 1.18126i
\(291\) 19.2908 + 6.11859i 1.13085 + 0.358678i
\(292\) 26.6063 12.4565i 1.55702 0.728964i
\(293\) 0.643074i 0.0375688i −0.999824 0.0187844i \(-0.994020\pi\)
0.999824 0.0187844i \(-0.00597961\pi\)
\(294\) −31.2020 2.75933i −1.81974 0.160927i
\(295\) −4.57512 + 2.03809i −0.266374 + 0.118662i
\(296\) 1.05444 0.812973i 0.0612884 0.0472531i
\(297\) −14.0765 18.5407i −0.816803 1.07584i
\(298\) −6.81078 6.01635i −0.394538 0.348518i
\(299\) 10.6808 0.617684
\(300\) 10.5473 + 13.7388i 0.608950 + 0.793209i
\(301\) −24.2374 −1.39702
\(302\) −1.11580 0.985651i −0.0642072 0.0567178i
\(303\) −9.33486 + 6.88281i −0.536273 + 0.395407i
\(304\) 3.00720 7.50944i 0.172474 0.430696i
\(305\) 6.52297 11.3034i 0.373504 0.647232i
\(306\) −1.65442 0.134609i −0.0945766 0.00769510i
\(307\) 13.7770i 0.786297i 0.919475 + 0.393149i \(0.128614\pi\)
−0.919475 + 0.393149i \(0.871386\pi\)
\(308\) −16.9000 36.0972i −0.962966 2.05683i
\(309\) 3.32214 10.4741i 0.188990 0.595851i
\(310\) −2.22514 + 3.12595i −0.126379 + 0.177542i
\(311\) 5.38557 + 16.5751i 0.305387 + 0.939886i 0.979532 + 0.201287i \(0.0645123\pi\)
−0.674145 + 0.738599i \(0.735488\pi\)
\(312\) −16.7576 4.79432i −0.948713 0.271425i
\(313\) −6.19251 + 19.0586i −0.350021 + 1.07726i 0.608819 + 0.793309i \(0.291644\pi\)
−0.958840 + 0.283946i \(0.908356\pi\)
\(314\) 4.96999 5.62626i 0.280473 0.317508i
\(315\) 12.5243 + 27.0850i 0.705662 + 1.52607i
\(316\) 14.5876 13.6451i 0.820617 0.767599i
\(317\) 5.91187 8.13699i 0.332044 0.457019i −0.610053 0.792361i \(-0.708852\pi\)
0.942097 + 0.335342i \(0.108852\pi\)
\(318\) 2.82480 + 4.71127i 0.158407 + 0.264195i
\(319\) 20.8534 28.7023i 1.16757 1.60702i
\(320\) −8.04441 + 15.9777i −0.449696 + 0.893182i
\(321\) 6.56730 + 8.90695i 0.366551 + 0.497138i
\(322\) 7.51723 17.3248i 0.418919 0.965475i
\(323\) −0.244494 0.752475i −0.0136040 0.0418688i
\(324\) −8.25656 + 15.9947i −0.458698 + 0.888592i
\(325\) 16.2543 + 7.22897i 0.901629 + 0.400991i
\(326\) 4.65344 2.74590i 0.257730 0.152082i
\(327\) 2.40140 0.798944i 0.132798 0.0441817i
\(328\) 14.3184 + 18.5713i 0.790603 + 1.02543i
\(329\) 16.5188 + 22.7362i 0.910712 + 1.25349i
\(330\) −14.0892 + 20.0901i −0.775586 + 1.10592i
\(331\) −1.20470 + 1.65813i −0.0662164 + 0.0911390i −0.840841 0.541283i \(-0.817939\pi\)
0.774624 + 0.632422i \(0.217939\pi\)
\(332\) 5.66948 10.2652i 0.311153 0.563375i
\(333\) −1.15405 0.813962i −0.0632418 0.0446049i
\(334\) −15.9261 + 3.54357i −0.871437 + 0.193896i
\(335\) 18.2852 1.92561i 0.999025 0.105207i
\(336\) −19.5709 + 23.8076i −1.06768 + 1.29881i
\(337\) 2.76950 8.52366i 0.150864 0.464313i −0.846854 0.531826i \(-0.821506\pi\)
0.997718 + 0.0675124i \(0.0215062\pi\)
\(338\) 0.471466 0.104902i 0.0256444 0.00570590i
\(339\) −3.52849 10.6057i −0.191641 0.576021i
\(340\) 0.396556 + 1.70414i 0.0215063 + 0.0924199i
\(341\) −5.16989 1.67980i −0.279965 0.0909662i
\(342\) −8.55162 0.695791i −0.462419 0.0376241i
\(343\) 25.7466i 1.39019i
\(344\) −8.69959 + 12.7207i −0.469050 + 0.685854i
\(345\) −11.5539 + 1.29882i −0.622044 + 0.0699259i
\(346\) 12.3527 28.4690i 0.664084 1.53050i
\(347\) 18.8668 13.7075i 1.01282 0.735859i 0.0480234 0.998846i \(-0.484708\pi\)
0.964799 + 0.262987i \(0.0847078\pi\)
\(348\) −26.9726 5.00381i −1.44588 0.268232i
\(349\) −28.4564 −1.52324 −0.761619 0.648025i \(-0.775595\pi\)
−0.761619 + 0.648025i \(0.775595\pi\)
\(350\) 23.1658 21.2777i 1.23826 1.13734i
\(351\) 0.389309 + 18.4832i 0.0207798 + 0.986558i
\(352\) −25.0111 4.08671i −1.33310 0.217822i
\(353\) −13.9044 19.1378i −0.740058 1.01860i −0.998615 0.0526061i \(-0.983247\pi\)
0.258558 0.965996i \(-0.416753\pi\)
\(354\) −2.14852 + 5.04842i −0.114192 + 0.268320i
\(355\) −2.70614 0.574631i −0.143627 0.0304983i
\(356\) −12.0642 25.7684i −0.639403 1.36572i
\(357\) 0.0211607 + 3.01433i 0.00111995 + 0.159535i
\(358\) 2.80880 29.4073i 0.148449 1.55422i
\(359\) −8.22215 + 25.3052i −0.433948 + 1.33556i 0.460212 + 0.887809i \(0.347773\pi\)
−0.894161 + 0.447747i \(0.852227\pi\)
\(360\) 18.7106 + 3.14849i 0.986136 + 0.165940i
\(361\) 4.60754 + 14.1806i 0.242502 + 0.746345i
\(362\) 7.05666 1.57011i 0.370890 0.0825234i
\(363\) −14.9755 4.74986i −0.786008 0.249303i
\(364\) −5.99199 + 31.0811i −0.314066 + 1.62909i
\(365\) −16.4169 + 28.4484i −0.859302 + 1.48906i
\(366\) −3.20286 13.9328i −0.167416 0.728277i
\(367\) 8.78119 12.0863i 0.458374 0.630898i −0.515796 0.856711i \(-0.672504\pi\)
0.974171 + 0.225813i \(0.0725039\pi\)
\(368\) −6.39455 10.1638i −0.333339 0.529824i
\(369\) 14.3359 20.3257i 0.746295 1.05811i
\(370\) −0.446255 + 1.42015i −0.0231997 + 0.0738302i
\(371\) 8.07067 5.86368i 0.419008 0.304427i
\(372\) 0.547927 + 4.16739i 0.0284087 + 0.216069i
\(373\) 0.0985837 + 0.303410i 0.00510447 + 0.0157100i 0.953576 0.301151i \(-0.0973710\pi\)
−0.948472 + 0.316861i \(0.897371\pi\)
\(374\) −2.13481 + 1.25971i −0.110388 + 0.0651381i
\(375\) −18.4623 5.84338i −0.953387 0.301751i
\(376\) 17.8620 0.508939i 0.921161 0.0262465i
\(377\) −26.7964 + 8.70667i −1.38008 + 0.448416i
\(378\) 30.2548 + 12.3772i 1.55614 + 0.636612i
\(379\) −18.1154 24.9337i −0.930525 1.28076i −0.959654 0.281182i \(-0.909274\pi\)
0.0291297 0.999576i \(-0.490726\pi\)
\(380\) 2.04979 + 8.80863i 0.105152 + 0.451873i
\(381\) 10.9912 + 7.86826i 0.563094 + 0.403103i
\(382\) −11.2777 19.1121i −0.577015 0.977859i
\(383\) 8.09394 + 5.88059i 0.413581 + 0.300484i 0.775050 0.631900i \(-0.217725\pi\)
−0.361469 + 0.932384i \(0.617725\pi\)
\(384\) 5.47050 + 18.8168i 0.279165 + 0.960243i
\(385\) 38.5963 + 22.2731i 1.96705 + 1.13514i
\(386\) 4.20726 4.76281i 0.214144 0.242421i
\(387\) 15.6152 + 4.83239i 0.793765 + 0.245644i
\(388\) −15.9637 17.0663i −0.810433 0.866410i
\(389\) −23.4799 + 7.62910i −1.19048 + 0.386811i −0.836250 0.548348i \(-0.815257\pi\)
−0.354230 + 0.935158i \(0.615257\pi\)
\(390\) 18.4302 6.33090i 0.933252 0.320578i
\(391\) −1.11702 0.362940i −0.0564899 0.0183547i
\(392\) 29.8555 + 20.4179i 1.50793 + 1.03126i
\(393\) −0.141896 20.2129i −0.00715769 1.01961i
\(394\) 17.0388 + 1.62743i 0.858400 + 0.0819889i
\(395\) −4.63872 + 21.8453i −0.233399 + 1.09916i
\(396\) 3.69103 + 26.6255i 0.185481 + 1.33798i
\(397\) 18.6495 13.5496i 0.935989 0.680036i −0.0114626 0.999934i \(-0.503649\pi\)
0.947452 + 0.319898i \(0.103649\pi\)
\(398\) 21.5554 + 19.0411i 1.08047 + 0.954444i
\(399\) 0.109379 + 15.5810i 0.00547581 + 0.780024i
\(400\) −2.85238 19.7956i −0.142619 0.989778i
\(401\) 24.8480i 1.24085i 0.784266 + 0.620425i \(0.213040\pi\)
−0.784266 + 0.620425i \(0.786960\pi\)
\(402\) 13.2280 15.1883i 0.659755 0.757524i
\(403\) 2.53749 + 3.49256i 0.126401 + 0.173977i
\(404\) 13.2898 1.65252i 0.661193 0.0822160i
\(405\) −2.66875 19.9469i −0.132611 0.991168i
\(406\) −4.73682 + 49.5931i −0.235084 + 2.46127i
\(407\) −2.10893 −0.104536
\(408\) 1.58963 + 1.07084i 0.0786984 + 0.0530142i
\(409\) 4.31358 13.2758i 0.213293 0.656448i −0.785977 0.618255i \(-0.787840\pi\)
0.999270 0.0381931i \(-0.0121602\pi\)
\(410\) −25.0123 7.85963i −1.23527 0.388159i
\(411\) −10.7197 32.2204i −0.528763 1.58932i
\(412\) −9.26628 + 8.66761i −0.456517 + 0.427022i
\(413\) 9.47617 + 3.07899i 0.466292 + 0.151507i
\(414\) −8.29724 + 9.66295i −0.407787 + 0.474908i
\(415\) 1.37312 + 13.0388i 0.0674038 + 0.640051i
\(416\) 14.1618 + 14.3008i 0.694340 + 0.701157i
\(417\) 16.0950 + 11.5220i 0.788178 + 0.564234i
\(418\) −11.0348 + 6.51140i −0.539728 + 0.318483i
\(419\) 15.6018 + 11.3354i 0.762197 + 0.553768i 0.899583 0.436749i \(-0.143870\pi\)
−0.137387 + 0.990517i \(0.543870\pi\)
\(420\) 2.70229 34.3507i 0.131858 1.67614i
\(421\) 6.56550 4.77011i 0.319983 0.232481i −0.416185 0.909280i \(-0.636633\pi\)
0.736168 + 0.676799i \(0.236633\pi\)
\(422\) −11.5756 + 26.6781i −0.563492 + 1.29867i
\(423\) −6.10934 17.9415i −0.297046 0.872347i
\(424\) −0.180658 6.34046i −0.00877353 0.307920i
\(425\) −1.45427 1.30835i −0.0705422 0.0634645i
\(426\) −2.59913 + 1.55840i −0.125928 + 0.0755045i
\(427\) −24.6916 + 8.02279i −1.19491 + 0.388250i
\(428\) −1.57677 12.6806i −0.0762161 0.612941i
\(429\) 16.3838 + 22.2207i 0.791018 + 1.07282i
\(430\) −0.167105 17.2292i −0.00805852 0.830866i
\(431\) −17.7471 12.8940i −0.854848 0.621084i 0.0716303 0.997431i \(-0.477180\pi\)
−0.926479 + 0.376348i \(0.877180\pi\)
\(432\) 17.3554 11.4363i 0.835014 0.550229i
\(433\) −4.11462 2.98945i −0.197736 0.143664i 0.484511 0.874785i \(-0.338997\pi\)
−0.682248 + 0.731121i \(0.738997\pi\)
\(434\) 7.45105 1.65787i 0.357662 0.0795801i
\(435\) 27.9283 12.6770i 1.33906 0.607815i
\(436\) −2.86950 0.553200i −0.137424 0.0264935i
\(437\) −5.77381 1.87603i −0.276199 0.0897425i
\(438\) 8.06093 + 35.0658i 0.385166 + 1.67551i
\(439\) −0.610863 + 0.198481i −0.0291549 + 0.00947300i −0.323558 0.946208i \(-0.604879\pi\)
0.294403 + 0.955681i \(0.404879\pi\)
\(440\) 25.5433 12.2623i 1.21773 0.584581i
\(441\) 11.3416 36.6489i 0.540077 1.74518i
\(442\) 1.95963 + 0.187171i 0.0932102 + 0.00890284i
\(443\) 8.12281 0.385926 0.192963 0.981206i \(-0.438190\pi\)
0.192963 + 0.981206i \(0.438190\pi\)
\(444\) 0.701782 + 1.47196i 0.0333051 + 0.0698562i
\(445\) 27.5524 + 15.8999i 1.30611 + 0.753729i
\(446\) 9.30152 21.4371i 0.440440 1.01507i
\(447\) 8.95814 6.60504i 0.423705 0.312408i
\(448\) 33.1640 12.9062i 1.56685 0.609762i
\(449\) 29.2373i 1.37980i −0.723907 0.689898i \(-0.757656\pi\)
0.723907 0.689898i \(-0.242344\pi\)
\(450\) −19.1671 + 9.08965i −0.903546 + 0.428490i
\(451\) 37.1434i 1.74901i
\(452\) −2.44317 + 12.6730i −0.114917 + 0.596087i
\(453\) 1.46760 1.08210i 0.0689539 0.0508413i
\(454\) 3.89767 + 1.69119i 0.182927 + 0.0793716i
\(455\) −14.4008 32.3271i −0.675121 1.51552i
\(456\) 8.21675 + 5.53511i 0.384784 + 0.259205i
\(457\) −33.5880 −1.57118 −0.785591 0.618746i \(-0.787641\pi\)
−0.785591 + 0.618746i \(0.787641\pi\)
\(458\) 0.540510 5.65899i 0.0252564 0.264427i
\(459\) 0.587357 1.94623i 0.0274155 0.0908424i
\(460\) 12.3672 + 5.22420i 0.576626 + 0.243580i
\(461\) −9.16328 + 2.97733i −0.426777 + 0.138668i −0.514527 0.857474i \(-0.672032\pi\)
0.0877500 + 0.996143i \(0.472032\pi\)
\(462\) 47.5744 10.9364i 2.21336 0.508807i
\(463\) −27.0938 8.80331i −1.25916 0.409125i −0.397963 0.917402i \(-0.630283\pi\)
−0.861194 + 0.508277i \(0.830283\pi\)
\(464\) 24.3282 + 20.2867i 1.12941 + 0.941785i
\(465\) −3.16965 3.46952i −0.146989 0.160895i
\(466\) 2.88062 + 12.9465i 0.133442 + 0.599737i
\(467\) −18.0050 13.0814i −0.833171 0.605334i 0.0872836 0.996184i \(-0.472181\pi\)
−0.920455 + 0.390849i \(0.872181\pi\)
\(468\) 10.0573 18.8297i 0.464898 0.870401i
\(469\) −29.5914 21.4994i −1.36641 0.992752i
\(470\) −16.0482 + 11.8992i −0.740249 + 0.548870i
\(471\) 5.45630 + 7.40015i 0.251413 + 0.340981i
\(472\) 5.01728 3.86830i 0.230939 0.178053i
\(473\) 23.2152 7.54307i 1.06743 0.346831i
\(474\) 12.5802 + 20.9815i 0.577826 + 0.963711i
\(475\) −7.51705 6.76284i −0.344906 0.310300i
\(476\) 1.68281 3.04691i 0.0771316 0.139655i
\(477\) −6.36870 + 2.16863i −0.291603 + 0.0992948i
\(478\) −2.01107 0.872599i −0.0919840 0.0399118i
\(479\) −2.02892 + 1.47410i −0.0927037 + 0.0673532i −0.633172 0.774011i \(-0.718247\pi\)
0.540468 + 0.841365i \(0.318247\pi\)
\(480\) −17.0586 13.7479i −0.778616 0.627501i
\(481\) 1.35497 + 0.984445i 0.0617814 + 0.0448868i
\(482\) −0.884327 1.49866i −0.0402800 0.0682619i
\(483\) 18.8074 + 13.4637i 0.855766 + 0.612618i
\(484\) 12.3926 + 13.2486i 0.563300 + 0.602207i
\(485\) 25.5572 + 5.42691i 1.16049 + 0.246423i
\(486\) −17.0243 14.0062i −0.772236 0.635336i
\(487\) −2.51860 0.818343i −0.114129 0.0370827i 0.251396 0.967884i \(-0.419110\pi\)
−0.365525 + 0.930802i \(0.619110\pi\)
\(488\) −4.65196 + 15.8387i −0.210584 + 0.716986i
\(489\) 2.08906 + 6.27914i 0.0944705 + 0.283952i
\(490\) −40.4370 + 0.392195i −1.82676 + 0.0177176i
\(491\) 0.490301 1.50899i 0.0221270 0.0680998i −0.939383 0.342869i \(-0.888601\pi\)
0.961510 + 0.274769i \(0.0886014\pi\)
\(492\) −25.9248 + 12.3601i −1.16878 + 0.557236i
\(493\) 3.09828 0.139539
\(494\) 10.1293 + 0.967483i 0.455738 + 0.0435291i
\(495\) −20.4254 22.0450i −0.918052 0.990847i
\(496\) 1.80431 4.50565i 0.0810161 0.202310i
\(497\) 3.23489 + 4.45245i 0.145105 + 0.199720i
\(498\) 10.8305 + 9.43268i 0.485327 + 0.422689i
\(499\) 23.7639i 1.06382i −0.846802 0.531908i \(-0.821475\pi\)
0.846802 0.531908i \(-0.178525\pi\)
\(500\) 15.2850 + 16.3208i 0.683567 + 0.729887i
\(501\) −0.140274 19.9819i −0.00626698 0.892726i
\(502\) −18.8951 + 21.3901i −0.843328 + 0.954686i
\(503\) −11.4099 + 8.28975i −0.508741 + 0.369622i −0.812346 0.583176i \(-0.801810\pi\)
0.303605 + 0.952798i \(0.401810\pi\)
\(504\) −23.4644 29.5660i −1.04519 1.31697i
\(505\) −11.1250 + 10.0211i −0.495056 + 0.445933i
\(506\) −1.80842 + 18.9337i −0.0803941 + 0.841704i
\(507\) 0.00415258 + 0.591532i 0.000184423 + 0.0262708i
\(508\) −6.61810 14.1358i −0.293631 0.627175i
\(509\) 22.0085 + 7.15099i 0.975509 + 0.316962i 0.753038 0.657977i \(-0.228588\pi\)
0.222471 + 0.974939i \(0.428588\pi\)
\(510\) −2.14260 + 0.0358245i −0.0948759 + 0.00158634i
\(511\) 62.1436 20.1917i 2.74907 0.893228i
\(512\) 5.12998 22.0382i 0.226715 0.973961i
\(513\) 3.03603 10.0600i 0.134044 0.444161i
\(514\) 28.4803 + 25.1583i 1.25621 + 1.10968i
\(515\) 2.94659 13.8765i 0.129842 0.611471i
\(516\) −12.9901 13.6933i −0.571855 0.602815i
\(517\) −22.8980 16.6364i −1.00705 0.731668i
\(518\) 2.55047 1.50498i 0.112061 0.0661252i
\(519\) 30.9052 + 22.1241i 1.35659 + 0.971142i
\(520\) −22.1354 4.04514i −0.970701 0.177391i
\(521\) 0.115346 + 0.158761i 0.00505342 + 0.00695543i 0.811536 0.584302i \(-0.198632\pi\)
−0.806483 + 0.591258i \(0.798632\pi\)
\(522\) 12.9395 31.0065i 0.566347 1.35712i
\(523\) −22.5692 + 7.33316i −0.986880 + 0.320657i −0.757611 0.652706i \(-0.773634\pi\)
−0.229269 + 0.973363i \(0.573634\pi\)
\(524\) −11.2843 + 20.4314i −0.492956 + 0.892549i
\(525\) 19.5092 + 33.2187i 0.851452 + 1.44978i
\(526\) −16.7267 28.3464i −0.729317 1.23596i
\(527\) −0.146696 0.451484i −0.00639018 0.0196670i
\(528\) 11.3362 28.8943i 0.493343 1.25746i
\(529\) 11.3165 8.22191i 0.492021 0.357475i
\(530\) 4.22386 + 5.69663i 0.183473 + 0.247446i
\(531\) −5.49124 3.87301i −0.238300 0.168074i
\(532\) 8.69840 15.7494i 0.377124 0.682822i
\(533\) −17.3385 + 23.8644i −0.751012 + 1.03368i
\(534\) 33.9615 7.80707i 1.46966 0.337845i
\(535\) 9.56173 + 10.6150i 0.413390 + 0.458928i
\(536\) −21.9051 + 7.81386i −0.946155 + 0.337508i
\(537\) 34.4872 + 10.9385i 1.48823 + 0.472032i
\(538\) 7.50128 + 33.7135i 0.323403 + 1.45349i
\(539\) −17.7036 54.4860i −0.762547 2.34688i
\(540\) −8.58974 + 21.5920i −0.369644 + 0.929174i
\(541\) −10.8345 + 33.3452i −0.465813 + 1.43362i 0.392145 + 0.919903i \(0.371733\pi\)
−0.857958 + 0.513720i \(0.828267\pi\)
\(542\) −15.2543 1.45700i −0.655229 0.0625833i
\(543\) 0.0621537 + 8.85374i 0.00266727 + 0.379950i
\(544\) −0.995117 1.97684i −0.0426653 0.0847563i
\(545\) 2.98453 1.32953i 0.127843 0.0569507i
\(546\) −35.6713 15.1811i −1.52659 0.649690i
\(547\) 9.43075 + 12.9803i 0.403230 + 0.554998i 0.961551 0.274627i \(-0.0885543\pi\)
−0.558321 + 0.829625i \(0.688554\pi\)
\(548\) −7.42246 + 38.5010i −0.317072 + 1.64468i
\(549\) 17.5074 0.245818i 0.747198 0.0104913i
\(550\) −15.5668 + 27.5899i −0.663772 + 1.17644i
\(551\) 16.0149 0.682257
\(552\) 13.8168 5.03828i 0.588083 0.214444i
\(553\) 35.9424 26.1137i 1.52843 1.11047i
\(554\) −36.7154 15.9308i −1.55989 0.676834i
\(555\) −1.58546 0.900158i −0.0672989 0.0382096i
\(556\) −9.69130 20.6999i −0.411003 0.877873i
\(557\) 28.3024i 1.19921i −0.800296 0.599606i \(-0.795324\pi\)
0.800296 0.599606i \(-0.204676\pi\)
\(558\) −5.13096 0.417474i −0.217211 0.0176731i
\(559\) −18.4367 5.99044i −0.779789 0.253369i
\(560\) −22.1406 + 33.0579i −0.935610 + 1.39695i
\(561\) −0.958377 2.88062i −0.0404627 0.121620i
\(562\) 0.703344 + 3.16108i 0.0296688 + 0.133342i
\(563\) −6.54274 + 20.1365i −0.275744 + 0.848652i 0.713278 + 0.700881i \(0.247210\pi\)
−0.989022 + 0.147771i \(0.952790\pi\)
\(564\) −3.99192 + 21.5181i −0.168090 + 0.906075i
\(565\) −5.87179 13.1810i −0.247028 0.554530i
\(566\) 2.54790 + 11.4512i 0.107096 + 0.481329i
\(567\) −22.6135 + 33.0371i −0.949677 + 1.38743i
\(568\) 3.49792 0.0996659i 0.146770 0.00418189i
\(569\) 5.41276 7.45002i 0.226915 0.312321i −0.680345 0.732892i \(-0.738170\pi\)
0.907260 + 0.420571i \(0.138170\pi\)
\(570\) −11.0750 + 0.185176i −0.463882 + 0.00775616i
\(571\) 23.1140 + 31.8137i 0.967292 + 1.33136i 0.943403 + 0.331649i \(0.107605\pi\)
0.0238892 + 0.999715i \(0.492395\pi\)
\(572\) −3.93366 31.6351i −0.164474 1.32273i
\(573\) 25.7889 8.57995i 1.07735 0.358432i
\(574\) 26.5064 + 44.9200i 1.10636 + 1.87492i
\(575\) −14.6808 + 3.12674i −0.612230 + 0.130394i
\(576\) −23.9395 + 1.70281i −0.997480 + 0.0709505i
\(577\) 8.56528 + 26.3612i 0.356577 + 1.09743i 0.955089 + 0.296318i \(0.0957588\pi\)
−0.598512 + 0.801114i \(0.704241\pi\)
\(578\) 21.8564 + 9.48347i 0.909106 + 0.394460i
\(579\) 4.61893 + 6.26446i 0.191956 + 0.260342i
\(580\) −35.2861 3.02526i −1.46518 0.125617i
\(581\) 15.3309 21.1011i 0.636032 0.875422i
\(582\) 24.5466 14.7177i 1.01749 0.610070i
\(583\) −5.90542 + 8.12811i −0.244577 + 0.336632i
\(584\) 11.7080 39.8628i 0.484481 1.64953i
\(585\) 2.83260 + 23.6983i 0.117113 + 0.979803i
\(586\) −0.681596 0.602092i −0.0281565 0.0248722i
\(587\) 8.48790 26.1231i 0.350333 1.07821i −0.608333 0.793682i \(-0.708162\pi\)
0.958666 0.284533i \(-0.0918385\pi\)
\(588\) −32.1382 + 30.4876i −1.32536 + 1.25729i
\(589\) −0.758267 2.33371i −0.0312439 0.0961587i
\(590\) −2.12338 + 6.75739i −0.0874181 + 0.278197i
\(591\) −6.33784 + 19.9821i −0.260704 + 0.821953i
\(592\) 0.125575 1.87877i 0.00516110 0.0772171i
\(593\) 14.4874i 0.594925i 0.954734 + 0.297462i \(0.0961403\pi\)
−0.954734 + 0.297462i \(0.903860\pi\)
\(594\) −32.8308 2.43937i −1.34706 0.100088i
\(595\) 0.407569 + 3.87018i 0.0167087 + 0.158662i
\(596\) −12.7535 + 1.58583i −0.522403 + 0.0649582i
\(597\) −28.3516 + 20.9043i −1.16035 + 0.855554i
\(598\) 10.0001 11.3206i 0.408935 0.462933i
\(599\) −48.7931 −1.99363 −0.996817 0.0797289i \(-0.974595\pi\)
−0.996817 + 0.0797289i \(0.974595\pi\)
\(600\) 24.4369 + 1.68410i 0.997634 + 0.0687532i
\(601\) 1.97030 0.0803701 0.0401850 0.999192i \(-0.487205\pi\)
0.0401850 + 0.999192i \(0.487205\pi\)
\(602\) −22.6928 + 25.6893i −0.924889 + 1.04702i
\(603\) 14.7781 + 19.7511i 0.601811 + 0.804328i
\(604\) −2.08939 + 0.259805i −0.0850160 + 0.0105713i
\(605\) −19.8400 4.21291i −0.806612 0.171279i
\(606\) −1.44486 + 16.3382i −0.0586933 + 0.663695i
\(607\) 6.81935i 0.276789i 0.990377 + 0.138394i \(0.0441941\pi\)
−0.990377 + 0.138394i \(0.955806\pi\)
\(608\) −5.14373 10.2182i −0.208606 0.414403i
\(609\) −58.1600 18.4470i −2.35676 0.747509i
\(610\) −5.87326 17.4968i −0.237801 0.708425i
\(611\) 6.94598 + 21.3775i 0.281004 + 0.864842i
\(612\) −1.69166 + 1.62749i −0.0683811 + 0.0657873i
\(613\) 2.82937 8.70791i 0.114277 0.351709i −0.877518 0.479543i \(-0.840802\pi\)
0.991796 + 0.127834i \(0.0408024\pi\)
\(614\) 14.6023 + 12.8991i 0.589302 + 0.520564i
\(615\) 15.8540 27.9238i 0.639293 1.12599i
\(616\) −54.0825 15.8844i −2.17905 0.640003i
\(617\) 2.71868 3.74194i 0.109450 0.150645i −0.750778 0.660555i \(-0.770321\pi\)
0.860228 + 0.509910i \(0.170321\pi\)
\(618\) −7.99112 13.3278i −0.321450 0.536121i
\(619\) −8.75815 + 12.0546i −0.352020 + 0.484514i −0.947904 0.318557i \(-0.896802\pi\)
0.595884 + 0.803071i \(0.296802\pi\)
\(620\) 1.22987 + 5.28517i 0.0493928 + 0.212257i
\(621\) −9.43251 12.4239i −0.378514 0.498553i
\(622\) 22.6103 + 9.81059i 0.906591 + 0.393369i
\(623\) −19.5558 60.1865i −0.783486 2.41132i
\(624\) −20.7712 + 13.2727i −0.831514 + 0.531332i
\(625\) −24.4579 5.17788i −0.978317 0.207115i
\(626\) 14.4024 + 24.4075i 0.575635 + 0.975520i
\(627\) −4.95382 14.8898i −0.197836 0.594642i
\(628\) −1.31002 10.5354i −0.0522757 0.420409i
\(629\) −0.108254 0.148998i −0.00431635 0.00594095i
\(630\) 40.4336 + 12.0844i 1.61091 + 0.481455i
\(631\) −11.4029 + 15.6948i −0.453944 + 0.624800i −0.973239 0.229795i \(-0.926194\pi\)
0.519295 + 0.854595i \(0.326194\pi\)
\(632\) −0.804554 28.2370i −0.0320034 1.12321i
\(633\) −28.9611 20.7324i −1.15110 0.824039i
\(634\) −3.08930 13.8844i −0.122692 0.551422i
\(635\) 15.1145 + 8.72225i 0.599800 + 0.346132i
\(636\) 7.63827 + 1.41701i 0.302877 + 0.0561882i
\(637\) −14.0596 + 43.2709i −0.557060 + 1.71445i
\(638\) −10.8972 48.9758i −0.431422 1.93897i
\(639\) −1.19640 3.51350i −0.0473287 0.138992i
\(640\) 9.40308 + 23.4858i 0.371689 + 0.928357i
\(641\) 18.3043 + 5.94743i 0.722977 + 0.234910i 0.647314 0.762224i \(-0.275892\pi\)
0.0756637 + 0.997133i \(0.475892\pi\)
\(642\) 15.5893 + 1.37863i 0.615260 + 0.0544101i
\(643\) 11.3786i 0.448730i 0.974505 + 0.224365i \(0.0720307\pi\)
−0.974505 + 0.224365i \(0.927969\pi\)
\(644\) −11.3245 24.1883i −0.446247 0.953152i
\(645\) 20.6724 + 4.23822i 0.813975 + 0.166880i
\(646\) −1.02646 0.445382i −0.0403857 0.0175233i
\(647\) −28.1074 + 20.4213i −1.10502 + 0.802842i −0.981872 0.189546i \(-0.939298\pi\)
−0.123146 + 0.992389i \(0.539298\pi\)
\(648\) 9.22241 + 23.7265i 0.362291 + 0.932065i
\(649\) −10.0348 −0.393898
\(650\) 22.8805 10.4597i 0.897447 0.410265i
\(651\) 0.0656274 + 9.34856i 0.00257214 + 0.366399i
\(652\) 1.44649 7.50311i 0.0566490 0.293844i
\(653\) −4.77390 6.57071i −0.186817 0.257132i 0.705328 0.708882i \(-0.250800\pi\)
−0.892145 + 0.451750i \(0.850800\pi\)
\(654\) 1.40157 3.29329i 0.0548055 0.128778i
\(655\) −2.73300 25.9519i −0.106787 1.01402i
\(656\) 33.0898 + 2.21168i 1.29194 + 0.0863516i
\(657\) −44.0625 + 0.618672i −1.71904 + 0.0241367i
\(658\) 39.5643 + 3.77893i 1.54238 + 0.147318i
\(659\) 2.70565 8.32715i 0.105397 0.324380i −0.884426 0.466680i \(-0.845450\pi\)
0.989824 + 0.142300i \(0.0454499\pi\)
\(660\) 8.10218 + 33.7430i 0.315377 + 1.31344i
\(661\) −3.36376 10.3526i −0.130835 0.402669i 0.864084 0.503348i \(-0.167899\pi\)
−0.994919 + 0.100679i \(0.967899\pi\)
\(662\) 0.629528 + 2.82933i 0.0244673 + 0.109965i
\(663\) −0.728917 + 2.29814i −0.0283088 + 0.0892525i
\(664\) −5.57193 15.6201i −0.216233 0.606178i
\(665\) 2.10671 + 20.0048i 0.0816947 + 0.775754i
\(666\) −1.94323 + 0.461096i −0.0752986 + 0.0178671i
\(667\) 13.9736 19.2331i 0.541061 0.744707i
\(668\) −11.1553 + 20.1979i −0.431612 + 0.781479i
\(669\) 23.2715 + 16.6594i 0.899728 + 0.644090i
\(670\) 15.0789 21.1834i 0.582550 0.818386i
\(671\) 21.1534 15.3689i 0.816619 0.593309i
\(672\) 6.91008 + 43.0336i 0.266562 + 1.66006i
\(673\) 3.30034 + 10.1574i 0.127219 + 0.391540i 0.994299 0.106630i \(-0.0340059\pi\)
−0.867080 + 0.498169i \(0.834006\pi\)
\(674\) −6.44124 10.9159i −0.248107 0.420464i
\(675\) −5.94596 25.2912i −0.228860 0.973459i
\(676\) 0.330235 0.597925i 0.0127013 0.0229971i
\(677\) 6.74302 2.19094i 0.259155 0.0842047i −0.176558 0.984290i \(-0.556496\pi\)
0.435713 + 0.900086i \(0.356496\pi\)
\(678\) −14.5446 6.18993i −0.558582 0.237723i
\(679\) −30.5509 42.0497i −1.17243 1.61372i
\(680\) 2.17751 + 1.17523i 0.0835035 + 0.0450678i
\(681\) −3.02900 + 4.23120i −0.116071 + 0.162140i
\(682\) −6.62085 + 3.90683i −0.253525 + 0.149600i
\(683\) 1.54821 + 1.12484i 0.0592406 + 0.0430408i 0.617011 0.786954i \(-0.288343\pi\)
−0.557771 + 0.829995i \(0.688343\pi\)
\(684\) −8.74411 + 8.41244i −0.334339 + 0.321658i
\(685\) −17.8387 40.0445i −0.681582 1.53002i
\(686\) 27.2889 + 24.1058i 1.04189 + 0.920365i
\(687\) 6.63654 + 2.10495i 0.253200 + 0.0803089i
\(688\) 5.33753 + 21.1308i 0.203491 + 0.805602i
\(689\) 7.58838 2.46561i 0.289094 0.0939324i
\(690\) −9.44102 + 13.4621i −0.359414 + 0.512494i
\(691\) 33.0697 + 10.7450i 1.25803 + 0.408759i 0.860793 0.508956i \(-0.169968\pi\)
0.397239 + 0.917715i \(0.369968\pi\)
\(692\) −18.6089 39.7474i −0.707405 1.51097i
\(693\) 0.839362 + 59.7803i 0.0318847 + 2.27087i
\(694\) 3.13580 32.8310i 0.119033 1.24625i
\(695\) 22.1331 + 12.7725i 0.839556 + 0.484490i
\(696\) −30.5572 + 23.9034i −1.15827 + 0.906055i
\(697\) 2.62422 1.90661i 0.0993994 0.0722179i
\(698\) −26.6430 + 30.1610i −1.00845 + 1.14161i
\(699\) −16.2436 + 0.114031i −0.614388 + 0.00431303i
\(700\) −0.862806 44.4752i −0.0326110 1.68100i
\(701\) 13.3975i 0.506016i −0.967464 0.253008i \(-0.918580\pi\)
0.967464 0.253008i \(-0.0814198\pi\)
\(702\) 19.9549 + 16.8926i 0.753148 + 0.637571i
\(703\) −0.559559 0.770167i −0.0211042 0.0290474i
\(704\) −27.7487 + 22.6831i −1.04582 + 0.854902i
\(705\) −10.1134 22.2806i −0.380893 0.839134i
\(706\) −33.3025 3.18084i −1.25336 0.119713i
\(707\) 29.7866 1.12024
\(708\) 3.33924 + 7.00391i 0.125496 + 0.263223i
\(709\) 7.03277 21.6446i 0.264121 0.812881i −0.727773 0.685818i \(-0.759445\pi\)
0.991895 0.127064i \(-0.0405552\pi\)
\(710\) −3.14273 + 2.33023i −0.117945 + 0.0874520i
\(711\) −28.3628 + 9.65793i −1.06369 + 0.362200i
\(712\) −38.6074 11.3393i −1.44687 0.424958i
\(713\) −3.46428 1.12561i −0.129738 0.0421545i
\(714\) 3.21471 + 2.79980i 0.120307 + 0.104780i
\(715\) 23.8542 + 26.4819i 0.892096 + 0.990367i
\(716\) −28.5391 30.5103i −1.06656 1.14022i
\(717\) 1.56286 2.18316i 0.0583661 0.0815316i
\(718\) 19.1229 + 32.4072i 0.713659 + 1.20943i
\(719\) 12.4553 + 9.04931i 0.464505 + 0.337482i 0.795296 0.606222i \(-0.207316\pi\)
−0.330791 + 0.943704i \(0.607316\pi\)
\(720\) 20.8553 16.8836i 0.777232 0.629215i
\(721\) −22.8312 + 16.5878i −0.850278 + 0.617763i
\(722\) 19.3439 + 8.39331i 0.719906 + 0.312367i
\(723\) 2.02222 0.672789i 0.0752070 0.0250213i
\(724\) 4.94279 8.94943i 0.183697 0.332603i
\(725\) 34.2829 19.8119i 1.27323 0.735794i
\(726\) −19.0555 + 11.4254i −0.707216 + 0.424035i
\(727\) −14.5937 + 4.74177i −0.541249 + 0.175862i −0.566867 0.823809i \(-0.691845\pi\)
0.0256182 + 0.999672i \(0.491845\pi\)
\(728\) 27.3328 + 35.4513i 1.01302 + 1.31391i
\(729\) 21.1558 16.7759i 0.783550 0.621329i
\(730\) 14.7818 + 44.0358i 0.547098 + 1.62984i
\(731\) 1.72458 + 1.25298i 0.0637861 + 0.0463433i
\(732\) −17.7661 9.65012i −0.656655 0.356679i
\(733\) 16.5587 + 12.0306i 0.611609 + 0.444360i 0.849981 0.526814i \(-0.176614\pi\)
−0.238372 + 0.971174i \(0.576614\pi\)
\(734\) −4.58869 20.6232i −0.169372 0.761218i
\(735\) 9.94709 48.5181i 0.366904 1.78962i
\(736\) −16.7597 2.73845i −0.617769 0.100941i
\(737\) 35.0344 + 11.3834i 1.29051 + 0.419312i
\(738\) −8.12101 34.2250i −0.298939 1.25984i
\(739\) −3.34126 + 1.08564i −0.122910 + 0.0399359i −0.369826 0.929101i \(-0.620583\pi\)
0.246916 + 0.969037i \(0.420583\pi\)
\(740\) 1.08741 + 1.80264i 0.0399739 + 0.0662662i
\(741\) −3.76775 + 11.8790i −0.138412 + 0.436387i
\(742\) 1.34140 14.0441i 0.0492445 0.515576i
\(743\) 42.7731 1.56919 0.784597 0.620007i \(-0.212870\pi\)
0.784597 + 0.620007i \(0.212870\pi\)
\(744\) 4.93004 + 3.32106i 0.180744 + 0.121756i
\(745\) 10.6760 9.61667i 0.391139 0.352328i
\(746\) 0.413886 + 0.179585i 0.0151534 + 0.00657506i
\(747\) −14.0842 + 10.5380i −0.515313 + 0.385565i
\(748\) −0.663593 + 3.44212i −0.0242634 + 0.125857i
\(749\) 28.4212i 1.03849i
\(750\) −23.4791 + 14.0972i −0.857336 + 0.514757i
\(751\) 20.9257i 0.763589i 0.924247 + 0.381795i \(0.124694\pi\)
−0.924247 + 0.381795i \(0.875306\pi\)
\(752\) 16.1842 19.4085i 0.590178 0.707754i
\(753\) −20.7439 28.1341i −0.755951 1.02526i
\(754\) −15.8605 + 36.5534i −0.577604 + 1.33119i
\(755\) 1.74904 1.57549i 0.0636541 0.0573379i
\(756\) 41.4453 20.4788i 1.50735 0.744805i
\(757\) 28.2009 1.02498 0.512490 0.858693i \(-0.328723\pi\)
0.512490 + 0.858693i \(0.328723\pi\)
\(758\) −43.3882 4.14416i −1.57593 0.150523i
\(759\) −22.2043 7.04268i −0.805965 0.255633i
\(760\) 11.2555 + 6.07470i 0.408278 + 0.220353i
\(761\) −45.3338 + 14.7298i −1.64335 + 0.533956i −0.977283 0.211937i \(-0.932023\pi\)
−0.666065 + 0.745893i \(0.732023\pi\)
\(762\) 18.6303 4.28274i 0.674905 0.155147i
\(763\) −6.18169 2.00855i −0.223792 0.0727144i
\(764\) −30.8159 5.94087i −1.11488 0.214933i
\(765\) 0.509046 2.57466i 0.0184046 0.0930872i
\(766\) 13.8110 3.07296i 0.499011 0.111031i
\(767\) 6.44726 + 4.68421i 0.232797 + 0.169137i
\(768\) 25.0659 + 11.8195i 0.904488 + 0.426499i
\(769\) 18.7076 + 13.5919i 0.674615 + 0.490136i 0.871567 0.490277i \(-0.163104\pi\)
−0.196952 + 0.980413i \(0.563104\pi\)
\(770\) 59.7440 20.0547i 2.15303 0.722720i
\(771\) −37.4598 + 27.6200i −1.34908 + 0.994709i
\(772\) −1.10898 8.91857i −0.0399130 0.320986i
\(773\) −44.2869 + 14.3897i −1.59289 + 0.517561i −0.965336 0.261011i \(-0.915944\pi\)
−0.627554 + 0.778573i \(0.715944\pi\)
\(774\) 19.7419