Properties

Label 300.2.n.a.71.15
Level $300$
Weight $2$
Character 300.71
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 71.15
Character \(\chi\) \(=\) 300.71
Dual form 300.2.n.a.131.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.936272 - 1.05990i) q^{2} +(1.00821 - 1.40837i) q^{3} +(-0.246789 + 1.98472i) q^{4} +(-1.49656 + 1.66142i) q^{5} +(-2.43670 + 0.250011i) q^{6} +4.44836i q^{7} +(2.33467 - 1.59666i) q^{8} +(-0.967016 - 2.83987i) q^{9} +O(q^{10})\) \(q+(-0.936272 - 1.05990i) q^{2} +(1.00821 - 1.40837i) q^{3} +(-0.246789 + 1.98472i) q^{4} +(-1.49656 + 1.66142i) q^{5} +(-2.43670 + 0.250011i) q^{6} +4.44836i q^{7} +(2.33467 - 1.59666i) q^{8} +(-0.967016 - 2.83987i) q^{9} +(3.16213 + 0.0306693i) q^{10} +(-1.38440 + 4.26075i) q^{11} +(2.54640 + 2.34858i) q^{12} +(1.09944 + 3.38374i) q^{13} +(4.71483 - 4.16487i) q^{14} +(0.831042 + 3.78277i) q^{15} +(-3.87819 - 0.979612i) q^{16} +(0.229964 + 0.316518i) q^{17} +(-2.10460 + 3.68384i) q^{18} +(-1.18868 - 1.63607i) q^{19} +(-2.92811 - 3.38027i) q^{20} +(6.26494 + 4.48489i) q^{21} +(5.81216 - 2.52189i) q^{22} +(-0.927671 + 2.85508i) q^{23} +(0.105150 - 4.89785i) q^{24} +(-0.520618 - 4.97282i) q^{25} +(2.55706 - 4.33340i) q^{26} +(-4.97455 - 1.50128i) q^{27} +(-8.82872 - 1.09781i) q^{28} +(4.65476 - 6.40673i) q^{29} +(3.23129 - 4.42253i) q^{30} +(-0.713204 - 0.981641i) q^{31} +(2.59275 + 5.02769i) q^{32} +(4.60495 + 6.24549i) q^{33} +(0.120170 - 0.540087i) q^{34} +(-7.39058 - 6.65723i) q^{35} +(5.87499 - 1.21840i) q^{36} +(-0.145467 - 0.447702i) q^{37} +(-0.621154 + 2.79169i) q^{38} +(5.87403 + 1.86310i) q^{39} +(-0.841249 + 6.26836i) q^{40} +(7.88511 - 2.56203i) q^{41} +(-1.11214 - 10.8393i) q^{42} +5.44861i q^{43} +(-8.11472 - 3.79915i) q^{44} +(6.16541 + 2.64342i) q^{45} +(3.89466 - 1.68989i) q^{46} +(5.11114 + 3.71346i) q^{47} +(-5.28970 + 4.47427i) 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} +(3.06633 + 6.67815i) 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} +(-7.71282 + 0.715835i) q^{60} +(-1.80354 + 5.55073i) q^{61} +(-0.372691 + 1.67501i) q^{62} +(12.6328 - 4.30164i) q^{63} +(2.90135 - 7.45535i) q^{64} +(-7.26719 - 3.23733i) q^{65} +(2.30813 - 10.7283i) q^{66} +(4.83312 + 6.65222i) q^{67} +(-0.684951 + 0.378300i) q^{68} +(3.08572 + 4.18503i) q^{69} +(-0.136428 + 14.0663i) q^{70} +(1.00092 + 0.727211i) q^{71} +(-6.79198 - 5.08616i) q^{72} +(4.53913 - 13.9700i) q^{73} +(-0.338324 + 0.573351i) q^{74} +(-7.52847 - 4.28044i) q^{75} +(3.54049 - 1.95542i) q^{76} +(-18.9533 - 6.15832i) q^{77} +(-3.52498 - 7.97028i) q^{78} +(5.87041 - 8.07993i) q^{79} +(7.43149 - 4.97725i) q^{80} +(-7.12976 + 5.49241i) q^{81} +(-10.0981 - 5.95870i) q^{82} +(-4.74358 + 3.44641i) q^{83} +(-10.4473 + 11.3273i) q^{84} +(-0.870024 - 0.0916222i) q^{85} +(5.77500 - 5.10138i) q^{86} +(-4.33007 - 13.0150i) q^{87} +(3.57086 + 12.1579i) q^{88} +(-13.5301 - 4.39618i) q^{89} +(-2.97073 - 9.00970i) 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} +(9.69489 + 1.41743i) 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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{5}\right)\)

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
\(3\) 1.00821 1.40837i 0.582092 0.813123i
\(4\) −0.246789 + 1.98472i −0.123395 + 0.992358i
\(5\) −1.49656 + 1.66142i −0.669282 + 0.743009i
\(6\) −2.43670 + 0.250011i −0.994778 + 0.102067i
\(7\) 4.44836i 1.68132i 0.541562 + 0.840661i \(0.317833\pi\)
−0.541562 + 0.840661i \(0.682167\pi\)
\(8\) 2.33467 1.59666i 0.825430 0.564505i
\(9\) −0.967016 2.83987i −0.322339 0.946624i
\(10\) 3.16213 + 0.0306693i 0.999953 + 0.00969848i
\(11\) −1.38440 + 4.26075i −0.417413 + 1.28466i 0.492662 + 0.870221i \(0.336024\pi\)
−0.910075 + 0.414444i \(0.863976\pi\)
\(12\) 2.54640 + 2.34858i 0.735082 + 0.677978i
\(13\) 1.09944 + 3.38374i 0.304931 + 0.938481i 0.979703 + 0.200454i \(0.0642419\pi\)
−0.674772 + 0.738026i \(0.735758\pi\)
\(14\) 4.71483 4.16487i 1.26009 1.11311i
\(15\) 0.831042 + 3.78277i 0.214574 + 0.976708i
\(16\) −3.87819 0.979612i −0.969548 0.244903i
\(17\) 0.229964 + 0.316518i 0.0557744 + 0.0767669i 0.835993 0.548740i \(-0.184892\pi\)
−0.780219 + 0.625507i \(0.784892\pi\)
\(18\) −2.10460 + 3.68384i −0.496059 + 0.868289i
\(19\) −1.18868 1.63607i −0.272701 0.375341i 0.650598 0.759422i \(-0.274518\pi\)
−0.923299 + 0.384081i \(0.874518\pi\)
\(20\) −2.92811 3.38027i −0.654745 0.755850i
\(21\) 6.26494 + 4.48489i 1.36712 + 0.978683i
\(22\) 5.81216 2.52189i 1.23916 0.537669i
\(23\) −0.927671 + 2.85508i −0.193433 + 0.595325i 0.806559 + 0.591154i \(0.201328\pi\)
−0.999991 + 0.00417066i \(0.998672\pi\)
\(24\) 0.105150 4.89785i 0.0214636 0.999770i
\(25\) −0.520618 4.97282i −0.104124 0.994564i
\(26\) 2.55706 4.33340i 0.501480 0.849851i
\(27\) −4.97455 1.50128i −0.957353 0.288921i
\(28\) −8.82872 1.09781i −1.66847 0.207466i
\(29\) 4.65476 6.40673i 0.864368 1.18970i −0.116142 0.993233i \(-0.537053\pi\)
0.980510 0.196468i \(-0.0629471\pi\)
\(30\) 3.23129 4.42253i 0.589950 0.807440i
\(31\) −0.713204 0.981641i −0.128095 0.176308i 0.740152 0.672439i \(-0.234753\pi\)
−0.868247 + 0.496131i \(0.834753\pi\)
\(32\) 2.59275 + 5.02769i 0.458337 + 0.888778i
\(33\) 4.60495 + 6.24549i 0.801618 + 1.08720i
\(34\) 0.120170 0.540087i 0.0206090 0.0926241i
\(35\) −7.39058 6.65723i −1.24924 1.12528i
\(36\) 5.87499 1.21840i 0.979165 0.203067i
\(37\) −0.145467 0.447702i −0.0239146 0.0736017i 0.938387 0.345586i \(-0.112320\pi\)
−0.962302 + 0.271985i \(0.912320\pi\)
\(38\) −0.621154 + 2.79169i −0.100764 + 0.452872i
\(39\) 5.87403 + 1.86310i 0.940598 + 0.298335i
\(40\) −0.841249 + 6.26836i −0.133013 + 0.991114i
\(41\) 7.88511 2.56203i 1.23145 0.400121i 0.380209 0.924901i \(-0.375852\pi\)
0.851238 + 0.524779i \(0.175852\pi\)
\(42\) −1.11214 10.8393i −0.171607 1.67254i
\(43\) 5.44861i 0.830905i 0.909615 + 0.415453i \(0.136377\pi\)
−0.909615 + 0.415453i \(0.863623\pi\)
\(44\) −8.11472 3.79915i −1.22334 0.572744i
\(45\) 6.16541 + 2.64342i 0.919086 + 0.394058i
\(46\) 3.89466 1.68989i 0.574236 0.249160i
\(47\) 5.11114 + 3.71346i 0.745537 + 0.541664i 0.894440 0.447187i \(-0.147574\pi\)
−0.148903 + 0.988852i \(0.547574\pi\)
\(48\) −5.28970 + 4.47427i −0.763502 + 0.645806i
\(49\) −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 \(-0.849223\pi\)
0.708831 + 0.705378i \(0.249223\pi\)
\(54\) 3.06633 + 6.67815i 0.417274 + 0.908781i
\(55\) −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 \(-0.0534230\pi\)
−0.895837 + 0.444383i \(0.853423\pi\)
\(60\) −7.71282 + 0.715835i −0.995721 + 0.0924140i
\(61\) −1.80354 + 5.55073i −0.230920 + 0.710698i 0.766717 + 0.641985i \(0.221889\pi\)
−0.997637 + 0.0687122i \(0.978111\pi\)
\(62\) −0.372691 + 1.67501i −0.0473319 + 0.212727i
\(63\) 12.6328 4.30164i 1.59158 0.541955i
\(64\) 2.90135 7.45535i 0.362668 0.931918i
\(65\) −7.26719 3.23733i −0.901384 0.401542i
\(66\) 2.30813 10.7283i 0.284112 1.32056i
\(67\) 4.83312 + 6.65222i 0.590459 + 0.812698i 0.994793 0.101914i \(-0.0324966\pi\)
−0.404334 + 0.914611i \(0.632497\pi\)
\(68\) −0.684951 + 0.378300i −0.0830625 + 0.0458756i
\(69\) 3.08572 + 4.18503i 0.371477 + 0.503818i
\(70\) −0.136428 + 14.0663i −0.0163063 + 1.68124i
\(71\) 1.00092 + 0.727211i 0.118787 + 0.0863040i 0.645593 0.763682i \(-0.276610\pi\)
−0.526805 + 0.849986i \(0.676610\pi\)
\(72\) −6.79198 5.08616i −0.800442 0.599410i
\(73\) 4.53913 13.9700i 0.531265 1.63507i −0.220318 0.975428i \(-0.570709\pi\)
0.751583 0.659638i \(-0.229291\pi\)
\(74\) −0.338324 + 0.573351i −0.0393293 + 0.0666507i
\(75\) −7.52847 4.28044i −0.869313 0.494262i
\(76\) 3.54049 1.95542i 0.406122 0.224302i
\(77\) −18.9533 6.15832i −2.15993 0.701805i
\(78\) −3.52498 7.97028i −0.399126 0.902456i
\(79\) 5.87041 8.07993i 0.660473 0.909063i −0.339024 0.940778i \(-0.610097\pi\)
0.999497 + 0.0317146i \(0.0100967\pi\)
\(80\) 7.43149 4.97725i 0.830866 0.556473i
\(81\) −7.12976 + 5.49241i −0.792195 + 0.610268i
\(82\) −10.0981 5.95870i −1.11515 0.658028i
\(83\) −4.74358 + 3.44641i −0.520675 + 0.378293i −0.816858 0.576839i \(-0.804286\pi\)
0.296183 + 0.955131i \(0.404286\pi\)
\(84\) −10.4473 + 11.3273i −1.13990 + 1.23591i
\(85\) −0.870024 0.0916222i −0.0943673 0.00993783i
\(86\) 5.77500 5.10138i 0.622734 0.550096i
\(87\) −4.33007 13.0150i −0.464232 1.39535i
\(88\) 3.57086 + 12.1579i 0.380655 + 1.29603i
\(89\) −13.5301 4.39618i −1.43418 0.465994i −0.514104 0.857728i \(-0.671875\pi\)
−0.920079 + 0.391734i \(0.871875\pi\)
\(90\) −2.97073 9.00970i −0.313143 0.949706i
\(91\) −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
\(96\) 9.69489 + 1.41743i 0.989481 + 0.144666i
\(97\) 9.45285 + 6.86790i 0.959792 + 0.697329i 0.953102 0.302648i \(-0.0978707\pi\)
0.00668928 + 0.999978i \(0.497871\pi\)
\(98\) 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 \(0.891891\pi\)
\(102\) −0.639486 0.713766i −0.0633185 0.0706733i
\(103\) −3.72898 + 5.13250i −0.367427 + 0.505720i −0.952199 0.305477i \(-0.901184\pi\)
0.584772 + 0.811198i \(0.301184\pi\)
\(104\) 7.96952 + 6.14447i 0.781476 + 0.602515i
\(105\) −16.8271 + 3.69677i −1.64216 + 0.360768i
\(106\) 3.15715 0.301550i 0.306649 0.0292892i
\(107\) −6.38914 −0.617661 −0.308831 0.951117i \(-0.599938\pi\)
−0.308831 + 0.951117i \(0.599938\pi\)
\(108\) 4.20727 9.50257i 0.404845 0.914385i
\(109\) 0.451526 + 1.38966i 0.0432484 + 0.133105i 0.970349 0.241707i \(-0.0777073\pi\)
−0.927101 + 0.374812i \(0.877707\pi\)
\(110\) −4.50833 + 13.4306i −0.429853 + 1.28056i
\(111\) −0.777191 0.246507i −0.0737677 0.0233974i
\(112\) 4.35767 17.2516i 0.411761 1.63012i
\(113\) 6.13733 1.99414i 0.577352 0.187593i −0.00576212 0.999983i \(-0.501834\pi\)
0.583114 + 0.812390i \(0.301834\pi\)
\(114\) 3.30548 + 3.68943i 0.309587 + 0.345547i
\(115\) −3.35516 5.81404i −0.312870 0.542162i
\(116\) 11.5668 + 10.8195i 1.07395 + 1.00456i
\(117\) 8.54621 6.39441i 0.790098 0.591164i
\(118\) 1.60982 2.72813i 0.148196 0.251145i
\(119\) −1.40799 + 1.02296i −0.129070 + 0.0937748i
\(120\) 7.98001 + 7.50462i 0.728472 + 0.685075i
\(121\) −7.33824 5.33155i −0.667113 0.484686i
\(122\) 7.57184 3.28541i 0.685522 0.297447i
\(123\) 4.34158 13.6882i 0.391467 1.23423i
\(124\) 2.12429 1.17325i 0.190767 0.105361i
\(125\) 9.04107 + 6.57716i 0.808658 + 0.588279i
\(126\) −16.3870 9.36201i −1.45987 0.834034i
\(127\) 7.42220 + 2.41162i 0.658614 + 0.213997i 0.619208 0.785227i \(-0.287454\pi\)
0.0394056 + 0.999223i \(0.487454\pi\)
\(128\) −10.6184 + 3.90509i −0.938542 + 0.345164i
\(129\) 7.67367 + 5.49336i 0.675629 + 0.483663i
\(130\) 3.37281 + 10.7335i 0.295815 + 0.941394i
\(131\) 9.44141 6.85959i 0.824900 0.599325i −0.0932120 0.995646i \(-0.529713\pi\)
0.918112 + 0.396322i \(0.129713\pi\)
\(132\) −13.5320 + 7.59819i −1.17781 + 0.661337i
\(133\) 7.27783 5.28766i 0.631068 0.458498i
\(134\) 2.52559 11.3509i 0.218178 0.980570i
\(135\) 9.93896 6.01806i 0.855410 0.517952i
\(136\) 1.04226 + 0.371790i 0.0893732 + 0.0318808i
\(137\) 18.6455 6.05827i 1.59299 0.517593i 0.627628 0.778513i \(-0.284026\pi\)
0.965360 + 0.260920i \(0.0840259\pi\)
\(138\) 1.54665 7.18889i 0.131660 0.611959i
\(139\) 10.8688 + 3.53149i 0.921880 + 0.299537i 0.731238 0.682123i \(-0.238943\pi\)
0.190642 + 0.981660i \(0.438943\pi\)
\(140\) 15.0366 13.0253i 1.27083 1.10084i
\(141\) 10.3831 3.45443i 0.874411 0.290915i
\(142\) −0.166360 1.74174i −0.0139606 0.146164i
\(143\) −15.9393 −1.33291
\(144\) 0.968299 + 11.9609i 0.0806916 + 0.996739i
\(145\) 3.67813 + 17.3216i 0.305452 + 1.43848i
\(146\) −19.0567 + 8.26869i −1.57715 + 0.684322i
\(147\) −12.8929 + 18.0101i −1.06339 + 1.48545i
\(148\) 0.924460 0.178223i 0.0759901 0.0146498i
\(149\) 6.42585i 0.526426i −0.964738 0.263213i \(-0.915218\pi\)
0.964738 0.263213i \(-0.0847823\pi\)
\(150\) 2.51185 + 11.9871i 0.205092 + 0.978743i
\(151\) 1.05274i 0.0856707i 0.999082 + 0.0428354i \(0.0136391\pi\)
−0.999082 + 0.0428354i \(0.986361\pi\)
\(152\) −5.38742 1.92177i −0.436977 0.155876i
\(153\) 0.676493 0.959147i 0.0546912 0.0775424i
\(154\) 11.2183 + 25.8546i 0.903994 + 2.08342i
\(155\) 2.69827 + 0.284155i 0.216730 + 0.0228239i
\(156\) −5.14738 + 11.1985i −0.412120 + 0.896597i
\(157\) 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
\(159\) 1.22622 + 3.68567i 0.0972454 + 0.292293i
\(160\) −12.2333 3.21660i −0.967127 0.254295i
\(161\) −12.7004 4.12661i −1.00093 0.325223i
\(162\) 12.4968 + 2.41446i 0.981842 + 0.189698i
\(163\) 3.63364 1.18064i 0.284609 0.0924749i −0.163234 0.986587i \(-0.552193\pi\)
0.447842 + 0.894112i \(0.352193\pi\)
\(164\) 3.13894 + 16.2820i 0.245110 + 1.27141i
\(165\) −17.2679 1.69601i −1.34431 0.132034i
\(166\) 8.09414 + 1.80095i 0.628227 + 0.139781i
\(167\) 9.33350 6.78118i 0.722248 0.524744i −0.164854 0.986318i \(-0.552715\pi\)
0.887102 + 0.461574i \(0.152715\pi\)
\(168\) 21.7874 + 0.467743i 1.68093 + 0.0360872i
\(169\) 0.276303 0.200746i 0.0212541 0.0154420i
\(170\) 0.717468 + 1.00792i 0.0550273 + 0.0773043i
\(171\) −3.49677 + 4.95780i −0.267405 + 0.379132i
\(172\) −10.8139 1.34466i −0.824555 0.102529i
\(173\) −20.8699 6.78105i −1.58671 0.515553i −0.622936 0.782273i \(-0.714060\pi\)
−0.963774 + 0.266719i \(0.914060\pi\)
\(174\) −9.74050 + 16.7750i −0.738425 + 1.27171i
\(175\) 22.1209 2.31589i 1.67218 0.175065i
\(176\) 9.54286 15.1678i 0.719320 1.14332i
\(177\) 3.69805 + 1.17293i 0.277962 + 0.0881630i
\(178\) 8.00829 + 18.4566i 0.600246 + 1.38338i
\(179\) −16.8993 12.2781i −1.26312 0.917707i −0.264209 0.964465i \(-0.585111\pi\)
−0.998906 + 0.0467581i \(0.985111\pi\)
\(180\) −6.76800 + 11.5842i −0.504457 + 0.863437i
\(181\) 4.13556 3.00466i 0.307394 0.223335i −0.423384 0.905951i \(-0.639158\pi\)
0.730777 + 0.682616i \(0.239158\pi\)
\(182\) 19.2765 + 11.3747i 1.42887 + 0.843149i
\(183\) 5.99913 + 8.13636i 0.443468 + 0.601457i
\(184\) 2.39279 + 8.14684i 0.176399 + 0.600593i
\(185\) 0.961519 + 0.428331i 0.0706923 + 0.0314915i
\(186\) 1.98328 + 2.21365i 0.145421 + 0.162313i
\(187\) −1.66697 + 0.541631i −0.121901 + 0.0396080i
\(188\) −8.63154 + 9.22773i −0.629520 + 0.673001i
\(189\) 6.67822 22.1286i 0.485769 1.60962i
\(190\) −3.70857 5.20993i −0.269048 0.377968i
\(191\) −4.84899 14.9237i −0.350861 1.07984i −0.958371 0.285526i \(-0.907832\pi\)
0.607510 0.794312i \(-0.292168\pi\)
\(192\) −7.57472 11.6027i −0.546658 0.837356i
\(193\) 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
\(195\) −11.8862 + 6.97098i −0.851191 + 0.499202i
\(196\) 3.15591 25.3803i 0.225422 1.81288i
\(197\) −7.11400 + 9.79158i −0.506851 + 0.697621i −0.983384 0.181536i \(-0.941893\pi\)
0.476533 + 0.879157i \(0.341893\pi\)
\(198\) −12.7823 14.0671i −0.908399 0.999704i
\(199\) 20.3372i 1.44166i −0.693111 0.720831i \(-0.743760\pi\)
0.693111 0.720831i \(-0.256240\pi\)
\(200\) −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
\(204\) −0.157790 + 1.34607i −0.0110475 + 0.0942439i
\(205\) −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
\(210\) 19.6730 + 14.3739i 1.35757 + 0.991896i
\(211\) −19.5571 6.35448i −1.34637 0.437461i −0.454897 0.890544i \(-0.650324\pi\)
−0.891468 + 0.453083i \(0.850324\pi\)
\(212\) −3.27556 3.06394i −0.224967 0.210432i
\(213\) 2.03332 0.676483i 0.139321 0.0463519i
\(214\) 5.98197 + 6.77187i 0.408919 + 0.462915i
\(215\) −9.05242 8.15417i −0.617370 0.556110i
\(216\) −14.0110 + 4.43769i −0.953325 + 0.301947i
\(217\) 4.36669 3.17259i 0.296430 0.215369i
\(218\) 1.05015 1.77967i 0.0711250 0.120534i
\(219\) −15.0986 20.4775i −1.02027 1.38374i
\(220\) 18.4561 7.79629i 1.24431 0.525626i
\(221\) −0.818183 + 1.12613i −0.0550369 + 0.0757518i
\(222\) 0.466390 + 1.05454i 0.0313020 + 0.0707764i
\(223\) 15.7150 + 5.10611i 1.05235 + 0.341930i 0.783591 0.621277i \(-0.213386\pi\)
0.268761 + 0.963207i \(0.413386\pi\)
\(224\) −22.3650 + 11.5335i −1.49432 + 0.770612i
\(225\) −13.6187 + 6.28729i −0.907916 + 0.419153i
\(226\) −7.85981 4.63792i −0.522827 0.308510i
\(227\) −0.928387 + 2.85728i −0.0616192 + 0.189645i −0.977127 0.212655i \(-0.931789\pi\)
0.915508 + 0.402300i \(0.131789\pi\)
\(228\) 0.815610 6.95780i 0.0540151 0.460792i
\(229\) 3.25202 + 2.36273i 0.214900 + 0.156134i 0.690028 0.723783i \(-0.257598\pi\)
−0.475128 + 0.879917i \(0.657598\pi\)
\(230\) −3.02098 + 8.99967i −0.199197 + 0.593421i
\(231\) −27.7822 + 20.4844i −1.82793 + 1.34778i
\(232\) 0.637946 22.3897i 0.0418832 1.46995i
\(233\) 5.51252 + 7.58733i 0.361137 + 0.497063i 0.950465 0.310831i \(-0.100607\pi\)
−0.589328 + 0.807894i \(0.700607\pi\)
\(234\) −14.7790 3.07125i −0.966136 0.200774i
\(235\) −13.8187 + 2.93433i −0.901436 + 0.191414i
\(236\) −4.39878 + 0.848023i −0.286336 + 0.0552016i
\(237\) −5.46092 16.4140i −0.354725 1.06620i
\(238\) 2.40250 + 0.534558i 0.155731 + 0.0346503i
\(239\) 0.479017 1.47426i 0.0309850 0.0953621i −0.934368 0.356309i \(-0.884035\pi\)
0.965353 + 0.260947i \(0.0840349\pi\)
\(240\) 0.482710 15.4844i 0.0311588 0.999514i
\(241\) 0.380229 + 1.17023i 0.0244927 + 0.0753808i 0.962556 0.271084i \(-0.0873821\pi\)
−0.938063 + 0.346465i \(0.887382\pi\)
\(242\) 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
\(246\) −18.5731 + 8.21425i −1.18418 + 0.523721i
\(247\) 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 \(-0.280212\pi\)
0.636912 + 0.770937i \(0.280212\pi\)
\(252\) 5.41989 + 26.1341i 0.341421 + 1.64629i
\(253\) −10.8805 7.90515i −0.684052 0.496993i
\(254\) −4.39312 10.1247i −0.275649 0.635283i
\(255\) −1.00621 + 1.13294i −0.0630111 + 0.0709475i
\(256\) 14.0807 + 7.59825i 0.880045 + 0.474890i
\(257\) 26.8707i 1.67615i 0.545558 + 0.838073i \(0.316318\pi\)
−0.545558 + 0.838073i \(0.683682\pi\)
\(258\) −1.36221 13.2766i −0.0848077 0.826566i
\(259\) 1.99154 0.647089i 0.123748 0.0402082i
\(260\) 8.21865 13.6244i 0.509699 0.844947i
\(261\) −22.6955 7.02352i −1.40482 0.434745i
\(262\) −16.1102 3.58454i −0.995293 0.221454i
\(263\) −7.19187 22.1343i −0.443470 1.36486i −0.884153 0.467197i \(-0.845264\pi\)
0.440684 0.897662i \(-0.354736\pi\)
\(264\) 20.7230 + 7.22861i 1.27541 + 0.444890i
\(265\) −1.04160 4.90524i −0.0639848 0.301326i
\(266\) −12.4184 2.76311i −0.761423 0.169417i
\(267\) −19.8326 + 14.6230i −1.21374 + 0.894916i
\(268\) −14.3955 + 7.95067i −0.879346 + 0.485664i
\(269\) 14.3549 + 19.7578i 0.875233 + 1.20465i 0.977719 + 0.209920i \(0.0673204\pi\)
−0.102486 + 0.994734i \(0.532680\pi\)
\(270\) −15.6841 4.89980i −0.954506 0.298192i
\(271\) −6.36896 + 8.76613i −0.386887 + 0.532504i −0.957393 0.288789i \(-0.906747\pi\)
0.570506 + 0.821294i \(0.306747\pi\)
\(272\) −0.581779 1.45279i −0.0352755 0.0880885i
\(273\) −8.28775 + 26.1298i −0.501597 + 1.58145i
\(274\) −23.8784 14.0902i −1.44255 0.851219i
\(275\) 21.9087 + 4.66616i 1.32114 + 0.281380i
\(276\) −9.06761 + 5.09145i −0.545806 + 0.306470i
\(277\) −8.74527 + 26.9152i −0.525452 + 1.61718i 0.237967 + 0.971273i \(0.423519\pi\)
−0.763420 + 0.645903i \(0.776481\pi\)
\(278\) −6.43312 14.8263i −0.385833 0.889223i
\(279\) −2.09806 + 2.97467i −0.125607 + 0.178089i
\(280\) −27.8839 3.74218i −1.66638 0.223638i
\(281\) 1.34596 + 1.85256i 0.0802933 + 0.110514i 0.847274 0.531155i \(-0.178242\pi\)
−0.766981 + 0.641670i \(0.778242\pi\)
\(282\) −13.3827 7.77075i −0.796929 0.462741i
\(283\) −4.87581 6.71097i −0.289837 0.398926i 0.639124 0.769103i \(-0.279297\pi\)
−0.928961 + 0.370177i \(0.879297\pi\)
\(284\) −1.69032 + 1.80707i −0.100302 + 0.107230i
\(285\) 5.20105 5.85614i 0.308084 0.346888i
\(286\) 14.9236 + 16.8942i 0.882449 + 0.998973i
\(287\) 11.3968 + 35.0758i 0.672733 + 2.07046i
\(288\) 11.7708 12.2249i 0.693599 0.720361i
\(289\) 5.20599 16.0224i 0.306235 0.942493i
\(290\) 14.9155 20.1162i 0.875866 1.18126i
\(291\) 19.2030 6.38882i 1.12570 0.374519i
\(292\) 26.6063 + 12.4565i 1.55702 + 0.728964i
\(293\) 0.643074i 0.0375688i −0.999824 0.0187844i \(-0.994020\pi\)
0.999824 0.0187844i \(-0.00597961\pi\)
\(294\) 31.1602 3.19711i 1.81730 0.186459i
\(295\) −4.57512 2.03809i −0.266374 0.118662i
\(296\) −1.05444 0.812973i −0.0612884 0.0472531i
\(297\) 13.2833 19.1170i 0.770778 1.10928i
\(298\) −6.81078 + 6.01635i −0.394538 + 0.348518i
\(299\) −10.6808 −0.617684
\(300\) 10.3534 13.8855i 0.597753 0.801680i
\(301\) −24.2374 −1.39702
\(302\) 1.11580 0.985651i 0.0642072 0.0567178i
\(303\) 9.43057 + 6.75107i 0.541772 + 0.387839i
\(304\) 3.00720 + 7.50944i 0.172474 + 0.430696i
\(305\) −6.52297 11.3034i −0.373504 0.647232i
\(306\) −1.64998 + 0.181006i −0.0943233 + 0.0103474i
\(307\) 13.7770i 0.786297i −0.919475 0.393149i \(-0.871386\pi\)
0.919475 0.393149i \(-0.128614\pi\)
\(308\) 16.9000 36.0972i 0.962966 2.05683i
\(309\) 3.46886 + 10.4264i 0.197337 + 0.593139i
\(310\) −2.22514 3.12595i −0.126379 0.177542i
\(311\) −5.38557 + 16.5751i −0.305387 + 0.939886i 0.674145 + 0.738599i \(0.264512\pi\)
−0.979532 + 0.201287i \(0.935488\pi\)
\(312\) 16.6887 5.02911i 0.944809 0.284717i
\(313\) −6.19251 19.0586i −0.350021 1.07726i −0.958840 0.283946i \(-0.908356\pi\)
0.608819 0.793309i \(-0.291644\pi\)
\(314\) −4.96999 5.62626i −0.280473 0.317508i
\(315\) −11.7589 + 27.4260i −0.662538 + 1.54528i
\(316\) 14.5876 + 13.6451i 0.820617 + 0.767599i
\(317\) −5.91187 8.13699i −0.332044 0.457019i 0.610053 0.792361i \(-0.291148\pi\)
−0.942097 + 0.335342i \(0.891148\pi\)
\(318\) 2.75838 4.75046i 0.154682 0.266393i
\(319\) 20.8534 + 28.7023i 1.16757 + 1.60702i
\(320\) 8.04441 + 15.9777i 0.449696 + 0.893182i
\(321\) −6.44161 + 8.99828i −0.359535 + 0.502235i
\(322\) 7.51723 + 17.3248i 0.418919 + 0.965475i
\(323\) 0.244494 0.752475i 0.0136040 0.0418688i
\(324\) −9.14132 15.5060i −0.507851 0.861445i
\(325\) 16.2543 7.22897i 0.901629 0.400991i
\(326\) −4.65344 2.74590i −0.257730 0.152082i
\(327\) 2.41238 + 0.765151i 0.133405 + 0.0423129i
\(328\) 14.3184 18.5713i 0.790603 1.02543i
\(329\) −16.5188 + 22.7362i −0.910712 + 1.25349i
\(330\) 14.3699 + 19.8903i 0.791036 + 1.09492i
\(331\) −1.20470 1.65813i −0.0662164 0.0911390i 0.774624 0.632422i \(-0.217939\pi\)
−0.840841 + 0.541283i \(0.817939\pi\)
\(332\) −5.66948 10.2652i −0.311153 0.563375i
\(333\) −1.13075 + 0.846043i −0.0619645 + 0.0463629i
\(334\) −15.9261 3.54357i −0.871437 0.193896i
\(335\) −18.2852 1.92561i −0.999025 0.105207i
\(336\) −19.9032 23.5305i −1.08581 1.28369i
\(337\) 2.76950 + 8.52366i 0.150864 + 0.464313i 0.997718 0.0675124i \(-0.0215062\pi\)
−0.846854 + 0.531826i \(0.821506\pi\)
\(338\) −0.471466 0.104902i −0.0256444 0.00570590i
\(339\) 3.37924 10.6542i 0.183535 0.578654i
\(340\) 0.396556 1.70414i 0.0215063 0.0924199i
\(341\) 5.16989 1.67980i 0.279965 0.0909662i
\(342\) 8.52871 0.935612i 0.461180 0.0505921i
\(343\) 25.7466i 1.39019i
\(344\) 8.69959 + 12.7207i 0.469050 + 0.685854i
\(345\) −11.5710 1.13648i −0.622964 0.0611859i
\(346\) 12.3527 + 28.4690i 0.664084 + 1.53050i
\(347\) −18.8668 13.7075i −1.01282 0.735859i −0.0480234 0.998846i \(-0.515292\pi\)
−0.964799 + 0.262987i \(0.915292\pi\)
\(348\) 26.8996 5.38199i 1.44197 0.288505i
\(349\) −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 −0.258558 0.965996i \(-0.583247\pi\)
0.998615 0.0526061i \(-0.0167528\pi\)
\(354\) −2.21918 5.01776i −0.117948 0.266691i
\(355\) −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 0.894161 + 0.447747i \(0.147773\pi\)
−0.460212 + 0.887809i \(0.652227\pi\)
\(360\) 18.6148 3.67256i 0.981088 0.193561i
\(361\) 4.60754 14.1806i 0.242502 0.746345i
\(362\) −7.05666 1.57011i −0.370890 0.0825234i
\(363\) −14.9073 + 4.95964i −0.782430 + 0.260313i
\(364\) −5.99199 31.0811i −0.314066 1.62909i
\(365\) 16.4169 + 28.4484i 0.859302 + 1.48906i
\(366\) 3.00694 13.9763i 0.157175 0.730555i
\(367\) 8.78119 + 12.0863i 0.458374 + 0.630898i 0.974171 0.225813i \(-0.0725039\pi\)
−0.515796 + 0.856711i \(0.672504\pi\)
\(368\) 6.39455 10.1638i 0.333339 0.529824i
\(369\) −14.9009 19.9152i −0.775708 1.03674i
\(370\) −0.446255 1.42015i −0.0231997 0.0738302i
\(371\) −8.07067 5.86368i −0.419008 0.304427i
\(372\) 0.489365 4.17467i 0.0253724 0.216447i
\(373\) 0.0985837 0.303410i 0.00510447 0.0157100i −0.948472 0.316861i \(-0.897371\pi\)
0.953576 + 0.301151i \(0.0973710\pi\)
\(374\) 2.13481 + 1.25971i 0.110388 + 0.0651381i
\(375\) 18.3784 6.10200i 0.949056 0.315106i
\(376\) 17.8620 + 0.508939i 0.921161 + 0.0262465i
\(377\) 26.7964 + 8.70667i 1.38008 + 0.448416i
\(378\) −29.7068 + 13.6401i −1.52795 + 0.701572i
\(379\) −18.1154 + 24.9337i −0.930525 + 1.28076i 0.0291297 + 0.999576i \(0.490726\pi\)
−0.959654 + 0.281182i \(0.909274\pi\)
\(380\) −2.04979 + 8.80863i −0.105152 + 0.451873i
\(381\) 10.8796 8.02179i 0.557379 0.410969i
\(382\) −11.2777 + 19.1121i −0.577015 + 0.977859i
\(383\) −8.09394 + 5.88059i −0.413581 + 0.300484i −0.775050 0.631900i \(-0.782275\pi\)
0.361469 + 0.932384i \(0.382275\pi\)
\(384\) −5.20579 + 18.8918i −0.265657 + 0.964068i
\(385\) 38.5963 22.2731i 1.96705 1.13514i
\(386\) −4.20726 4.76281i −0.214144 0.242421i
\(387\) 15.4734 5.26890i 0.786555 0.267833i
\(388\) −15.9637 + 17.0663i −0.810433 + 0.866410i
\(389\) 23.4799 + 7.62910i 1.19048 + 0.386811i 0.836250 0.548348i \(-0.184743\pi\)
0.354230 + 0.935158i \(0.384743\pi\)
\(390\) 18.5173 + 6.07152i 0.937660 + 0.307444i
\(391\) −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
\(396\) −2.94204 + 26.7186i −0.147843 + 1.34266i
\(397\) 18.6495 + 13.5496i 0.935989 + 0.680036i 0.947452 0.319898i \(-0.103649\pi\)
−0.0114626 + 0.999934i \(0.503649\pi\)
\(398\) −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 \(0.786960\pi\)
\(402\) −13.4400 15.0011i −0.670325 0.748187i
\(403\) 2.53749 3.49256i 0.126401 0.173977i
\(404\) −13.2898 1.65252i −0.661193 0.0822160i
\(405\) 1.54493 20.0652i 0.0767680 0.997049i
\(406\) −4.73682 49.5931i −0.235084 2.46127i
\(407\) 2.10893 0.104536
\(408\) 1.57444 1.09305i 0.0779464 0.0541139i
\(409\) 4.31358 + 13.2758i 0.213293 + 0.656448i 0.999270 + 0.0381931i \(0.0121602\pi\)
−0.785977 + 0.618255i \(0.787840\pi\)
\(410\) 25.0123 7.85963i 1.23527 0.388159i
\(411\) 10.2663 32.3677i 0.506398 1.59658i
\(412\) −9.26628 8.66761i −0.456517 0.427022i
\(413\) −9.47617 + 3.07899i −0.466292 + 0.151507i
\(414\) −8.56527 9.42619i −0.420960 0.463272i
\(415\) 1.37312 13.0388i 0.0674038 0.640051i
\(416\) −14.1618 + 14.3008i −0.694340 + 0.701157i
\(417\) 15.9317 11.7468i 0.780179 0.575244i
\(418\) −11.0348 6.51140i −0.539728 0.318483i
\(419\) −15.6018 + 11.3354i −0.762197 + 0.553768i −0.899583 0.436749i \(-0.856130\pi\)
0.137387 + 0.990517i \(0.456130\pi\)
\(420\) −3.18429 34.3094i −0.155378 1.67413i
\(421\) 6.56550 + 4.77011i 0.319983 + 0.232481i 0.736168 0.676799i \(-0.236633\pi\)
−0.416185 + 0.909280i \(0.636633\pi\)
\(422\) 11.5756 + 26.6781i 0.563492 + 1.29867i
\(423\) 5.60321 18.1060i 0.272437 0.880343i
\(424\) −0.180658 + 6.34046i −0.00877353 + 0.307920i
\(425\) 1.45427 1.30835i 0.0705422 0.0634645i
\(426\) −2.62075 1.52175i −0.126976 0.0737291i
\(427\) −24.6916 8.02279i −1.19491 0.388250i
\(428\) 1.57677 12.6806i 0.0762161 0.612941i
\(429\) −16.0702 + 22.4485i −0.775879 + 1.08382i
\(430\) −0.167105 + 17.2292i −0.00805852 + 0.830866i
\(431\) 17.7471 12.8940i 0.854848 0.621084i −0.0716303 0.997431i \(-0.522820\pi\)
0.926479 + 0.376348i \(0.122820\pi\)
\(432\) 17.8216 + 10.6954i 0.857442 + 0.514581i
\(433\) −4.11462 + 2.98945i −0.197736 + 0.143664i −0.682248 0.731121i \(-0.738997\pi\)
0.484511 + 0.874785i \(0.338997\pi\)
\(434\) −7.45105 1.65787i −0.357662 0.0795801i
\(435\) 28.1035 + 12.2836i 1.34746 + 0.588956i
\(436\) −2.86950 + 0.553200i −0.137424 + 0.0264935i
\(437\) 5.77381 1.87603i 0.276199 0.0897425i
\(438\) −7.56784 + 35.1755i −0.361605 + 1.68075i
\(439\) −0.610863 0.198481i −0.0291549 0.00947300i 0.294403 0.955681i \(-0.404879\pi\)
−0.323558 + 0.946208i \(0.604879\pi\)
\(440\) −25.5433 12.2623i −1.21773 0.584581i
\(441\) 12.3661 + 36.3160i 0.588862 + 1.72933i
\(442\) 1.95963 0.187171i 0.0932102 0.00890284i
\(443\) −8.12281 −0.385926 −0.192963 0.981206i \(-0.561810\pi\)
−0.192963 + 0.981206i \(0.561810\pi\)
\(444\) 0.681048 1.48167i 0.0323211 0.0703169i
\(445\) 27.5524 15.8999i 1.30611 0.753729i
\(446\) −9.30152 21.4371i −0.440440 1.01507i
\(447\) −9.04998 6.47862i −0.428050 0.306428i
\(448\) 33.1640 + 12.9062i 1.56685 + 0.609762i
\(449\) 29.2373i 1.37980i −0.723907 0.689898i \(-0.757656\pi\)
0.723907 0.689898i \(-0.242344\pi\)
\(450\) 19.4148 + 8.54793i 0.915221 + 0.402953i
\(451\) 37.1434i 1.74901i
\(452\) 2.44317 + 12.6730i 0.114917 + 0.596087i
\(453\) 1.48265 + 1.06139i 0.0696609 + 0.0498682i
\(454\) 3.89767 1.69119i 0.182927 0.0793716i
\(455\) 14.4008 32.3271i 0.675121 1.51552i
\(456\) −8.13823 + 5.64993i −0.381107 + 0.264582i
\(457\) −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
\(459\) −0.668786 1.91978i −0.0312163 0.0896075i
\(460\) 12.3672 5.22420i 0.576626 0.243580i
\(461\) 9.16328 + 2.97733i 0.426777 + 0.138668i 0.514527 0.857474i \(-0.327968\pi\)
−0.0877500 + 0.996143i \(0.527968\pi\)
\(462\) 47.7232 + 10.2674i 2.22028 + 0.477683i
\(463\) −27.0938 + 8.80331i −1.25916 + 0.409125i −0.861194 0.508277i \(-0.830283\pi\)
−0.397963 + 0.917402i \(0.630283\pi\)
\(464\) −24.3282 + 20.2867i −1.12941 + 0.941785i
\(465\) 3.12062 3.51367i 0.144715 0.162943i
\(466\) 2.88062 12.9465i 0.133442 0.599737i
\(467\) 18.0050 13.0814i 0.833171 0.605334i −0.0872836 0.996184i \(-0.527819\pi\)
0.920455 + 0.390849i \(0.127819\pi\)
\(468\) 10.5820 + 18.5399i 0.489152 + 0.857006i
\(469\) −29.5914 + 21.4994i −1.36641 + 0.992752i
\(470\) 16.0482 + 11.8992i 0.740249 + 0.548870i
\(471\) 5.35187 7.47602i 0.246601 0.344477i
\(472\) 5.01728 + 3.86830i 0.230939 + 0.178053i
\(473\) −23.2152 7.54307i −1.06743 0.346831i
\(474\) −12.2843 + 21.1560i −0.564239 + 0.971728i
\(475\) −7.51705 + 6.76284i −0.344906 + 0.310300i
\(476\) −1.68281 3.04691i −0.0771316 0.139655i
\(477\) 6.42708 + 1.98897i 0.294276 + 0.0910686i
\(478\) −2.01107 + 0.872599i −0.0919840 + 0.0399118i
\(479\) 2.02892 + 1.47410i 0.0927037 + 0.0673532i 0.633172 0.774011i \(-0.281753\pi\)
−0.540468 + 0.841365i \(0.681753\pi\)
\(480\) −16.8639 + 13.9860i −0.769729 + 0.638370i
\(481\) 1.35497 0.984445i 0.0617814 0.0448868i
\(482\) 0.884327 1.49866i 0.0402800 0.0682619i
\(483\) −18.6165 + 13.7264i −0.847080 + 0.624572i
\(484\) 12.3926 13.2486i 0.563300 0.602207i
\(485\) −25.5572 + 5.42691i −1.16049 + 0.246423i
\(486\) 15.9999 15.1659i 0.725770 0.687937i
\(487\) −2.51860 + 0.818343i −0.114129 + 0.0370827i −0.365525 0.930802i \(-0.619110\pi\)
0.251396 + 0.967884i \(0.419110\pi\)
\(488\) 4.65196 + 15.8387i 0.210584 + 0.716986i
\(489\) 2.00070 6.30785i 0.0904747 0.285251i
\(490\) −40.4370 0.392195i −1.82676 0.0177176i
\(491\) −0.490301 1.50899i −0.0221270 0.0680998i 0.939383 0.342869i \(-0.111399\pi\)
−0.961510 + 0.274769i \(0.911399\pi\)
\(492\) 26.0958 + 11.9949i 1.17649 + 0.540772i
\(493\) 3.09828 0.139539
\(494\) −10.1293 + 0.967483i −0.455738 + 0.0435291i
\(495\) −19.7984 + 22.6097i −0.889871 + 1.01623i
\(496\) 1.80431 + 4.50565i 0.0810161 + 0.202310i
\(497\) −3.23489 + 4.45245i −0.145105 + 0.199720i
\(498\) 10.6970 9.58381i 0.479345 0.429461i
\(499\) 23.7639i 1.06382i 0.846802 + 0.531908i \(0.178525\pi\)
−0.846802 + 0.531908i \(0.821475\pi\)
\(500\) −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 \(-0.198190\pi\)
−0.303605 + 0.952798i \(0.598190\pi\)
\(504\) 22.6251 30.2131i 1.00780 1.34580i
\(505\) −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 \(-0.771412\pi\)
−0.222471 + 0.974939i \(0.571412\pi\)
\(510\) 2.14289 + 0.00574017i 0.0948888 + 0.000254179i
\(511\) 62.1436 + 20.1917i 2.74907 + 0.893228i
\(512\) −5.12998 22.0382i −0.226715 0.973961i
\(513\) 3.45693 + 9.92326i 0.152627 + 0.438123i
\(514\) 28.4803 25.1583i 1.25621 1.10968i
\(515\) −2.94659 13.8765i −0.129842 0.611471i
\(516\) −12.7965 + 13.8743i −0.563336 + 0.610784i
\(517\) −22.8980 + 16.6364i −1.00705 + 0.731668i
\(518\) −2.55047 1.50498i −0.112061 0.0661252i
\(519\) −30.5915 + 22.5558i −1.34282 + 0.990092i
\(520\) −22.1354 + 4.04514i −0.970701 + 0.177391i
\(521\) −0.115346 + 0.158761i −0.00505342 + 0.00695543i −0.811536 0.584302i \(-0.801368\pi\)
0.806483 + 0.591258i \(0.201368\pi\)
\(522\) 13.8049 + 30.6310i 0.604226 + 1.34068i
\(523\) −22.5692 7.33316i −0.986880 0.320657i −0.229269 0.973363i \(-0.573634\pi\)
−0.757611 + 0.652706i \(0.773634\pi\)
\(524\) 11.2843 + 20.4314i 0.492956 + 0.892549i
\(525\) 19.0409 33.4893i 0.831014 1.46159i
\(526\) −16.7267 + 28.3464i −0.729317 + 1.23596i
\(527\) 0.146696 0.451484i 0.00639018 0.0196670i
\(528\) −11.7407 28.7323i −0.510948 1.25041i
\(529\) 11.3165 + 8.22191i 0.492021 + 0.357475i
\(530\) −4.22386 + 5.69663i −0.183473 + 0.247446i
\(531\) 5.38034 4.02566i 0.233487 0.174699i
\(532\) 8.69840 + 15.7494i 0.377124 + 0.682822i
\(533\) 17.3385 + 23.8644i 0.751012 + 1.03368i
\(534\) 34.0677 + 7.32950i 1.47426 + 0.317178i
\(535\) 9.56173 10.6150i 0.413390 0.458928i
\(536\) 21.9051 + 7.81386i 0.946155 + 0.337508i
\(537\) −34.3302 + 11.4216i −1.48146 + 0.492879i
\(538\) 7.50128 33.7135i 0.323403 1.45349i
\(539\) 17.7036 54.4860i 0.762547 2.34688i
\(540\) 9.49130 + 21.2112i 0.408441 + 0.912785i
\(541\) −10.8345 33.3452i −0.465813 1.43362i −0.857958 0.513720i \(-0.828267\pi\)
0.392145 0.919903i \(-0.371733\pi\)
\(542\) 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
\(546\) 35.4546 15.6804i 1.51732 0.671059i
\(547\) 9.43075 12.9803i 0.403230 0.554998i −0.558321 0.829625i \(-0.688554\pi\)
0.961551 + 0.274627i \(0.0885543\pi\)
\(548\) 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
\(552\) 13.8862 + 4.84381i 0.591036 + 0.206166i
\(553\) 35.9424 + 26.1137i 1.52843 + 1.11047i
\(554\) 36.7154 15.9308i 1.55989 0.676834i
\(555\) 1.57266 0.922328i 0.0667559 0.0391506i
\(556\) −9.69130 + 20.6999i −0.411003 + 0.877873i
\(557\) 28.3024i 1.19921i −0.800296 0.599606i \(-0.795324\pi\)
0.800296 0.599606i \(-0.204676\pi\)
\(558\) 5.11722 0.561366i 0.216629 0.0237645i
\(559\) −18.4367 + 5.99044i −0.779789 + 0.253369i
\(560\) 22.1406 + 33.0579i 0.935610 + 1.39695i
\(561\) −0.917840 + 2.89379i −0.0387512 + 0.122176i
\(562\) 0.703344 3.16108i 0.0296688 0.133342i
\(563\) 6.54274 + 20.1365i 0.275744 + 0.848652i 0.989022 + 0.147771i \(0.0472097\pi\)
−0.713278 + 0.700881i \(0.752790\pi\)
\(564\) 4.29363 + 21.4599i 0.180794 + 0.903626i
\(565\) −5.87179 + 13.1810i −0.247028 + 0.554530i
\(566\) −2.54790 + 11.4512i −0.107096 + 0.481329i
\(567\) −24.4322 31.7157i −1.02606 1.33193i
\(568\) 3.49792 + 0.0996659i 0.146770 + 0.00418189i
\(569\) −5.41276 7.45002i −0.226915 0.312321i 0.680345 0.732892i \(-0.261830\pi\)
−0.907260 + 0.420571i \(0.861830\pi\)
\(570\) −11.0765 0.0296708i −0.463945 0.00124277i
\(571\) 23.1140 31.8137i 0.967292 1.33136i 0.0238892 0.999715i \(-0.492395\pi\)
0.943403 0.331649i \(-0.107605\pi\)
\(572\) 3.93366 31.6351i 0.164474 1.32273i
\(573\) −25.9069 8.21704i −1.08227 0.343272i
\(574\) 26.5064 44.9200i 1.10636 1.87492i
\(575\) 14.6808 + 3.12674i 0.612230 + 0.130394i
\(576\) −23.9779 1.03001i −0.999079 0.0429173i
\(577\) 8.56528 26.3612i 0.356577 1.09743i −0.598512 0.801114i \(-0.704241\pi\)
0.955089 0.296318i \(-0.0957588\pi\)
\(578\) −21.8564 + 9.48347i −0.909106 + 0.394460i
\(579\) 4.53053 6.32869i 0.188282 0.263011i
\(580\) −35.2861 + 3.02526i −1.46518 + 0.125617i
\(581\) −15.3309 21.1011i −0.636032 0.875422i
\(582\) −24.7508 14.3717i −1.02595 0.595725i
\(583\) −5.90542 8.12811i −0.244577 0.336632i
\(584\) −11.7080 39.8628i −0.484481 1.64953i
\(585\) −2.16613 + 23.7684i −0.0895583 + 0.982704i
\(586\) −0.681596 + 0.602092i −0.0281565 + 0.0248722i
\(587\) −8.48790 26.1231i −0.350333 1.07821i −0.958666 0.284533i \(-0.908162\pi\)
0.608333 0.793682i \(-0.291838\pi\)
\(588\) −32.5631 30.0334i −1.34288 1.23856i
\(589\) −0.758267 + 2.33371i −0.0312439 + 0.0961587i
\(590\) 2.12338 + 6.75739i 0.0874181 + 0.278197i
\(591\) 6.61775 + 19.8911i 0.272218 + 0.818212i
\(592\) 0.125575 + 1.87877i 0.00516110 + 0.0772171i
\(593\) 14.4874i 0.594925i 0.954734 + 0.297462i \(0.0961403\pi\)
−0.954734 + 0.297462i \(0.903860\pi\)
\(594\) −32.6989 + 3.81961i −1.34165 + 0.156721i
\(595\) 0.407569 3.87018i 0.0167087 0.158662i
\(596\) 12.7535 + 1.58583i 0.522403 + 0.0649582i
\(597\) −28.6422 20.5042i −1.17225 0.839180i
\(598\) 10.0001 + 11.3206i 0.408935 + 0.462933i
\(599\) 48.7931 1.99363 0.996817 0.0797289i \(-0.0254055\pi\)
0.996817 + 0.0797289i \(0.0254055\pi\)
\(600\) −24.4109 + 2.02702i −0.996570 + 0.0827526i
\(601\) 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
\(603\) 14.2177 20.1582i 0.578991 0.820907i
\(604\) −2.08939 0.259805i −0.0850160 0.0105713i
\(605\) 19.8400 4.21291i 0.806612 0.171279i
\(606\) −1.67409 16.3163i −0.0680054 0.662805i
\(607\) 6.81935i 0.276789i −0.990377 0.138394i \(-0.955806\pi\)
0.990377 0.138394i \(-0.0441941\pi\)
\(608\) 5.14373 10.2182i 0.208606 0.414403i
\(609\) 57.8953 19.2617i 2.34604 0.780523i
\(610\) −5.87326 + 17.4968i −0.237801 + 0.708425i
\(611\) −6.94598 + 21.3775i −0.281004 + 0.864842i
\(612\) 1.73668 + 1.57935i 0.0702012 + 0.0638415i
\(613\) 2.82937 + 8.70791i 0.114277 + 0.351709i 0.991796 0.127834i \(-0.0408024\pi\)
−0.877518 + 0.479543i \(0.840802\pi\)
\(614\) −14.6023 + 12.8991i −0.589302 + 0.520564i
\(615\) 16.2444 + 27.6984i 0.655039 + 1.11691i
\(616\) −54.0825 + 15.8844i −2.17905 + 0.640003i
\(617\) −2.71868 3.74194i −0.109450 0.150645i 0.750778 0.660555i \(-0.229679\pi\)
−0.860228 + 0.509910i \(0.829679\pi\)
\(618\) 7.80321 13.4386i 0.313891 0.540581i
\(619\) −8.75815 12.0546i −0.352020 0.484514i 0.595884 0.803071i \(-0.296802\pi\)
−0.947904 + 0.318557i \(0.896802\pi\)
\(620\) −1.22987 + 5.28517i −0.0493928 + 0.212257i
\(621\) 8.90101 12.8100i 0.357185 0.514049i
\(622\) 22.6103 9.81059i 0.906591 0.393369i
\(623\) 19.5558 60.1865i 0.783486 2.41132i
\(624\) −20.9555 12.9797i −0.838891 0.519606i
\(625\) −24.4579 + 5.17788i −0.978317 + 0.207115i
\(626\) −14.4024 + 24.4075i −0.575635 + 0.975520i
\(627\) 4.74429 14.9579i 0.189469 0.597361i
\(628\) −1.31002 + 10.5354i −0.0522757 + 0.420409i
\(629\) 0.108254 0.148998i 0.00431635 0.00594095i
\(630\) 40.0784 13.2149i 1.59676 0.526494i
\(631\) −11.4029 15.6948i −0.453944 0.624800i 0.519295 0.854595i \(-0.326194\pi\)
−0.973239 + 0.229795i \(0.926194\pi\)
\(632\) 0.804554 28.2370i 0.0320034 1.12321i
\(633\) −28.6672 + 21.1370i −1.13942 + 0.840119i
\(634\) −3.08930 + 13.8844i −0.122692 + 0.551422i
\(635\) −15.1145 + 8.72225i −0.599800 + 0.346132i
\(636\) −7.61762 + 1.52411i −0.302058 + 0.0604349i
\(637\) −14.0596 43.2709i −0.557060 1.71445i
\(638\) 10.8972 48.9758i 0.431422 1.93897i
\(639\) 1.09728 3.54571i 0.0434077 0.140266i
\(640\) 9.40308 23.4858i 0.371689 0.928357i
\(641\) −18.3043 + 5.94743i −0.722977 + 0.234910i −0.647314 0.762224i \(-0.724108\pi\)
−0.0756637 + 0.997133i \(0.524108\pi\)
\(642\) 15.5684 1.59736i 0.614436 0.0630426i
\(643\) 11.3786i 0.448730i −0.974505 0.224365i \(-0.927969\pi\)
0.974505 0.224365i \(-0.0720307\pi\)
\(644\) 11.3245 24.1883i 0.446247 0.953152i
\(645\) −20.6109 + 4.52803i −0.811552 + 0.178291i
\(646\) −1.02646 + 0.445382i −0.0403857 + 0.0175233i
\(647\) 28.1074 + 20.4213i 1.10502 + 0.802842i 0.981872 0.189546i \(-0.0607017\pi\)
0.123146 + 0.992389i \(0.460702\pi\)
\(648\) −7.87610 + 24.2068i −0.309403 + 0.950931i
\(649\) −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 \(-0.749200\pi\)
0.892145 + 0.451750i \(0.149200\pi\)
\(654\) −1.44766 3.27328i −0.0566081 0.127996i
\(655\) −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 \(-0.154550\pi\)
−0.989824 + 0.142300i \(0.954550\pi\)
\(660\) 7.62765 33.8534i 0.296906 1.31774i
\(661\) −3.36376 + 10.3526i −0.130835 + 0.402669i −0.994919 0.100679i \(-0.967899\pi\)
0.864084 + 0.503348i \(0.167899\pi\)
\(662\) −0.629528 + 2.82933i −0.0244673 + 0.109965i
\(663\) 0.761110 + 2.28768i 0.0295590 + 0.0888463i
\(664\) −5.57193 + 15.6201i −0.216233 + 0.606178i
\(665\) −2.10671 + 20.0048i −0.0816947 + 0.775754i
\(666\) 1.95541 + 0.406356i 0.0757706 + 0.0157460i
\(667\) 13.9736 + 19.2331i 0.541061 + 0.744707i
\(668\) 11.1553 + 20.1979i 0.431612 + 0.781479i
\(669\) 23.0353 16.9845i 0.890597 0.656658i
\(670\) 15.0789 + 21.1834i 0.582550 + 0.818386i
\(671\) −21.1534 15.3689i −0.816619 0.593309i
\(672\) −6.30523 + 43.1263i −0.243230 + 1.66363i
\(673\) 3.30034 10.1574i 0.127219 0.391540i −0.867080 0.498169i \(-0.834006\pi\)
0.994299 + 0.106630i \(0.0340059\pi\)
\(674\) 6.44124 10.9159i 0.248107 0.420464i
\(675\) −4.87574 + 25.5192i −0.187667 + 0.982233i
\(676\) 0.330235 + 0.597925i 0.0127013 + 0.0229971i
\(677\) −6.74302 2.19094i −0.259155 0.0842047i 0.176558 0.984290i \(-0.443504\pi\)
−0.435713 + 0.900086i \(0.643504\pi\)
\(678\) −14.4563 + 6.39352i −0.555190 + 0.245542i
\(679\) −30.5509 + 42.0497i −1.17243 + 1.61372i
\(680\) −2.17751 + 1.17523i −0.0835035 + 0.0450678i
\(681\) 3.08810 + 4.18826i 0.118336 + 0.160495i
\(682\) −6.62085 3.90683i −0.253525 0.149600i
\(683\) −1.54821 + 1.12484i −0.0592406 + 0.0430408i −0.617011 0.786954i \(-0.711657\pi\)
0.557771 + 0.829995i \(0.311657\pi\)
\(684\) −8.97685 8.16362i −0.343239 0.312144i
\(685\) −17.8387 + 40.0445i −0.681582 + 1.53002i
\(686\) −27.2889 + 24.1058i −1.04189 + 0.920365i
\(687\) 6.60633 2.19792i 0.252047 0.0838558i
\(688\) 5.33753 21.1308i 0.203491 0.805602i
\(689\) −7.58838 2.46561i −0.289094 0.0939324i
\(690\) 9.62909 + 13.3282i 0.366573 + 0.507397i
\(691\) 33.0697 10.7450i 1.25803 0.408759i 0.397239 0.917715i \(-0.369968\pi\)
0.860793 + 0.508956i \(0.169968\pi\)
\(692\) 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
\(696\) −30.8898 23.4720i −1.17087 0.889704i
\(697\) 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 \(-0.0814198\pi\)
\(702\) −19.2259 + 17.7179i −0.725633 + 0.668719i
\(703\) −0.559559 + 0.770167i −0.0211042 + 0.0290474i
\(704\) 27.7487 + 22.6831i 1.04582 + 0.854902i
\(705\) −9.79961 + 22.4203i −0.369075 + 0.844399i
\(706\) −33.3025 + 3.18084i −1.25336 + 0.119713i
\(707\) −29.7866 −1.12024
\(708\) −3.24058 + 7.05010i −0.121788 + 0.264959i
\(709\) 7.03277 + 21.6446i 0.264121 + 0.812881i 0.991895 + 0.127064i \(0.0405552\pi\)
−0.727773 + 0.685818i \(0.759445\pi\)
\(710\) 3.14273 + 2.33023i 0.117945 + 0.0874520i
\(711\) −28.6228 8.85780i −1.07344 0.332194i
\(712\) −38.6074 + 11.3393i −1.44687 + 0.424958i
\(713\) 3.46428 1.12561i 0.129738 0.0421545i
\(714\) 3.17508 2.84466i 0.118825 0.106459i
\(715\) 23.8542 26.4819i 0.892096 0.990367i
\(716\) 28.5391 30.5103i 1.06656 1.14022i
\(717\) −1.59336 2.16100i −0.0595050 0.0807041i
\(718\) 19.1229 32.4072i 0.713659 1.20943i
\(719\) −12.4553 + 9.04931i −0.464505 + 0.337482i −0.795296 0.606222i \(-0.792684\pi\)
0.330791 + 0.943704i \(0.392684\pi\)
\(720\) −21.3211 16.2914i −0.794591 0.607145i
\(721\) −22.8312 16.5878i −0.850278 0.617763i
\(722\) −19.3439 + 8.39331i −0.719906 + 0.312367i
\(723\) 2.03146 + 0.644332i 0.0755509 + 0.0239630i
\(724\) 4.94279 + 8.94943i 0.183697 + 0.332603i
\(725\) −34.2829 19.8119i −1.27323 0.735794i
\(726\) 19.2140 + 11.1567i 0.713099 + 0.414065i
\(727\) −14.5937 4.74177i −0.541249 0.175862i 0.0256182 0.999672i \(-0.491845\pi\)
−0.566867 + 0.823809i \(0.691845\pi\)
\(728\) −27.3328 + 35.4513i −1.01302 + 1.31391i
\(729\) 22.4923 + 14.9364i 0.833049 + 0.553199i
\(730\) 14.7818 44.0358i 0.547098 1.62984i
\(731\) −1.72458 + 1.25298i −0.0637861 + 0.0463433i
\(732\) −17.6289 + 9.89860i −0.651582 + 0.365863i
\(733\) 16.5587 12.0306i 0.611609 0.444360i −0.238372 0.971174i \(-0.576614\pi\)
0.849981 + 0.526814i \(0.176614\pi\)
\(734\) 4.58869 20.6232i 0.169372 0.761218i
\(735\) −10.6273 48.3737i −0.391993 1.78429i
\(736\) −16.7597 + 2.73845i −0.617769 + 0.100941i
\(737\) −35.0344 + 11.3834i −1.29051 + 0.419312i
\(738\) −7.15691 + 34.4395i −0.263449 + 1.26774i
\(739\) −3.34126 1.08564i −0.122910 0.0399359i 0.246916 0.969037i \(-0.420583\pi\)
−0.369826 + 0.929101i \(0.620583\pi\)
\(740\) −1.08741 + 1.80264i −0.0399739 + 0.0662662i
\(741\) −3.93415 11.8250i −0.144525 0.434401i
\(742\) 1.34140 + 14.0441i 0.0492445 + 0.515576i
\(743\) −42.7731 −1.56919 −0.784597 0.620007i \(-0.787130\pi\)
−0.784597 + 0.620007i \(0.787130\pi\)
\(744\) −4.88293 + 3.38995i −0.179017 + 0.124282i
\(745\) 10.6760 + 9.61667i 0.391139 + 0.352328i
\(746\) −0.413886 + 0.179585i −0.0151534 + 0.00657506i
\(747\) 14.3745 + 10.1384i 0.525935 + 0.370945i
\(748\) −0.663593 3.44212i −0.0242634 0.125857i
\(749\) 28.4212i 1.03849i
\(750\) −23.6747 13.7662i −0.864478 0.502670i
\(751\) 20.9257i 0.763589i −0.924247 0.381795i \(-0.875306\pi\)
0.924247 0.381795i \(-0.124694\pi\)
\(752\) −16.1842 19.4085i −0.590178 0.707754i
\(753\) 20.3469 28.4226i 0.741482 1.03578i
\(754\) −15.8605 36.5534i −0.577604 1.33119i
\(755\) −1.74904 1.57549i −0.0636541 0.0573379i
\(756\) 42.2708 + 18.7155i 1.53738 + 0.680675i
\(757\) 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
\(759\) −22.1032 + 7.35372i −0.802297 + 0.266923i
\(760\) 11.2555 6.07470i 0.408278 0.220353i
\(761\) 45.3338 + 14.7298i 1.64335 + 0.533956i 0.977283 0.211937i \(-0.0679772\pi\)
0.666065 + 0.745893i \(0.267977\pi\)
\(762\) −18.6886 4.02076i −0.677016 0.145657i
\(763\) −6.18169 + 2.00855i −0.223792 + 0.0727144i
\(764\) 30.8159 5.94087i 1.11488 0.214933i
\(765\) 0.581132 + 2.55936i 0.0210109 + 0.0925338i
\(766\) 13.8110 + 3.07296i 0.499011 + 0.111031i
\(767\) −6.44726 + 4.68421i −0.232797 + 0.169137i
\(768\) 24.8975 12.1702i 0.898411 0.439155i
\(769\) 18.7076 13.5919i 0.674615 0.490136i −0.196952 0.980413i \(-0.563104\pi\)
0.871567 + 0.490277i \(0.163104\pi\)
\(770\) −59.7440 20.0547i −2.15303 0.722720i
\(771\) 37.8439 + 27.0913i 1.36291 + 0.975671i
\(772\) −1.10898 + 8.91857i −0.0399130 + 0.320986i
\(773\) 44.2869 + 14.3897i 1.59289 + 0.517561i 0.965336 0.261011i \(-0.0840560\pi\)
0.627554 + 0.778573i \(0.284056\pi\)