Properties

Label 57.2.j.b.2.4
Level 57
Weight 2
Character 57.2
Analytic conductor 0.455
Analytic rank 0
Dimension 24
CM No

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Newspace parameters

Level: \( N \) = \( 57 = 3 \cdot 19 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 57.j (of order \(18\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(0.455147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{18})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 2.4
Character \(\chi\) = 57.2
Dual form 57.2.j.b.29.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.448036 - 2.54094i) q^{2} +(0.504201 + 1.65704i) q^{3} +(-4.37626 - 1.59283i) q^{4} +(-0.533860 - 1.46677i) q^{5} +(4.43634 - 0.538732i) q^{6} +(1.49687 + 2.59266i) q^{7} +(-3.42787 + 5.93724i) q^{8} +(-2.49156 + 1.67096i) q^{9} +O(q^{10})\) \(q+(0.448036 - 2.54094i) q^{2} +(0.504201 + 1.65704i) q^{3} +(-4.37626 - 1.59283i) q^{4} +(-0.533860 - 1.46677i) q^{5} +(4.43634 - 0.538732i) q^{6} +(1.49687 + 2.59266i) q^{7} +(-3.42787 + 5.93724i) q^{8} +(-2.49156 + 1.67096i) q^{9} +(-3.96616 + 0.699341i) q^{10} +(1.05900 + 0.611412i) q^{11} +(0.432864 - 8.05474i) q^{12} +(0.203530 + 0.242558i) q^{13} +(7.25845 - 2.64186i) q^{14} +(2.16132 - 1.62417i) q^{15} +(6.41525 + 5.38303i) q^{16} +(-5.00468 - 0.882460i) q^{17} +(3.12951 + 7.07956i) q^{18} +(-0.461268 - 4.33442i) q^{19} +7.26931i q^{20} +(-3.54142 + 3.78760i) q^{21} +(2.02803 - 2.41691i) q^{22} +(0.211619 - 0.581418i) q^{23} +(-11.5666 - 2.68655i) q^{24} +(1.96382 - 1.64784i) q^{25} +(0.707514 - 0.408483i) q^{26} +(-4.02510 - 3.28612i) q^{27} +(-2.42104 - 13.7304i) q^{28} +(0.204862 + 1.16183i) q^{29} +(-3.15858 - 6.21948i) q^{30} +(-4.50103 + 2.59867i) q^{31} +(6.04864 - 5.07541i) q^{32} +(-0.479186 + 2.06307i) q^{33} +(-4.48456 + 12.3212i) q^{34} +(3.00371 - 3.57969i) q^{35} +(13.5653 - 3.34394i) q^{36} +3.64847i q^{37} +(-11.2202 - 0.769925i) q^{38} +(-0.299308 + 0.459555i) q^{39} +(10.5386 + 1.85823i) q^{40} +(0.118123 + 0.0991172i) q^{41} +(8.03739 + 10.6955i) q^{42} +(8.99072 - 3.27235i) q^{43} +(-3.66057 - 4.36249i) q^{44} +(3.78106 + 2.76248i) q^{45} +(-1.38254 - 0.798207i) q^{46} +(8.03246 - 1.41634i) q^{47} +(-5.68532 + 13.3444i) q^{48} +(-0.981262 + 1.69960i) q^{49} +(-3.30720 - 5.72824i) q^{50} +(-1.06109 - 8.73789i) q^{51} +(-0.504348 - 1.38568i) q^{52} +(2.88328 + 1.04943i) q^{53} +(-10.1532 + 8.75525i) q^{54} +(0.331444 - 1.87971i) q^{55} -20.5243 q^{56} +(6.94974 - 2.94976i) q^{57} +3.04393 q^{58} +(-0.468861 + 2.65904i) q^{59} +(-12.0455 + 3.66519i) q^{60} +(-6.47830 - 2.35791i) q^{61} +(4.58645 + 12.6012i) q^{62} +(-8.06180 - 3.95856i) q^{63} +(-1.81179 - 3.13812i) q^{64} +(0.247119 - 0.428023i) q^{65} +(5.02745 + 2.14192i) q^{66} +(8.96745 - 1.58120i) q^{67} +(20.4962 + 11.8335i) q^{68} +(1.07013 + 0.0575091i) q^{69} +(-7.75000 - 9.23609i) q^{70} +(-12.9496 + 4.71326i) q^{71} +(-1.38017 - 20.5208i) q^{72} +(-0.335304 - 0.281354i) q^{73} +(9.27055 + 1.63465i) q^{74} +(3.72070 + 2.42328i) q^{75} +(-4.88536 + 19.7033i) q^{76} +3.66082i q^{77} +(1.03360 + 0.966421i) q^{78} +(-0.940136 + 1.12041i) q^{79} +(4.47082 - 12.2835i) q^{80} +(3.41576 - 8.32662i) q^{81} +(0.304774 - 0.255736i) q^{82} +(9.46265 - 5.46326i) q^{83} +(21.5312 - 10.9347i) q^{84} +(1.37743 + 7.81181i) q^{85} +(-4.28669 - 24.3110i) q^{86} +(-1.82191 + 0.925262i) q^{87} +(-7.26019 + 4.19167i) q^{88} +(-6.02351 + 5.05433i) q^{89} +(8.71336 - 8.36976i) q^{90} +(-0.324211 + 0.890763i) q^{91} +(-1.85220 + 2.20736i) q^{92} +(-6.57553 - 6.14814i) q^{93} -21.0446i q^{94} +(-6.11134 + 2.99055i) q^{95} +(11.4599 + 7.46380i) q^{96} +(-18.2890 - 3.22484i) q^{97} +(3.87893 + 3.25481i) q^{98} +(-3.66020 + 0.246173i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} + O(q^{10}) \) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} - 6q^{10} + 9q^{12} + 6q^{13} - 9q^{15} + 30q^{16} - 12q^{19} - 6q^{21} + 24q^{22} - 21q^{24} + 12q^{25} - 27q^{27} - 48q^{28} + 42q^{30} - 18q^{31} + 21q^{33} - 42q^{34} + 63q^{36} + 30q^{40} + 105q^{42} + 54q^{43} + 6q^{45} - 54q^{46} - 33q^{48} + 6q^{49} + 3q^{51} - 48q^{52} - 87q^{54} - 90q^{55} - 6q^{57} + 24q^{58} - 66q^{60} - 6q^{61} - 9q^{63} + 18q^{64} - 57q^{66} - 36q^{69} + 18q^{70} + 24q^{72} + 90q^{73} + 12q^{76} + 9q^{78} + 30q^{79} + 3q^{81} + 126q^{82} + 99q^{84} - 6q^{85} + 15q^{87} + 54q^{88} + 24q^{90} + 66q^{91} + 33q^{93} - 18q^{96} - 78q^{97} + 12q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.448036 2.54094i 0.316810 1.79672i −0.245078 0.969503i \(-0.578814\pi\)
0.561888 0.827213i \(-0.310075\pi\)
\(3\) 0.504201 + 1.65704i 0.291101 + 0.956692i
\(4\) −4.37626 1.59283i −2.18813 0.796414i
\(5\) −0.533860 1.46677i −0.238750 0.655959i −0.999972 0.00746821i \(-0.997623\pi\)
0.761223 0.648491i \(-0.224599\pi\)
\(6\) 4.43634 0.538732i 1.81113 0.219936i
\(7\) 1.49687 + 2.59266i 0.565765 + 0.979934i 0.996978 + 0.0776837i \(0.0247524\pi\)
−0.431213 + 0.902250i \(0.641914\pi\)
\(8\) −3.42787 + 5.93724i −1.21193 + 2.09913i
\(9\) −2.49156 + 1.67096i −0.830521 + 0.556988i
\(10\) −3.96616 + 0.699341i −1.25421 + 0.221151i
\(11\) 1.05900 + 0.611412i 0.319299 + 0.184348i 0.651080 0.759009i \(-0.274316\pi\)
−0.331781 + 0.943356i \(0.607649\pi\)
\(12\) 0.432864 8.05474i 0.124957 2.32520i
\(13\) 0.203530 + 0.242558i 0.0564491 + 0.0672734i 0.793530 0.608531i \(-0.208241\pi\)
−0.737081 + 0.675804i \(0.763796\pi\)
\(14\) 7.25845 2.64186i 1.93990 0.706067i
\(15\) 2.16132 1.62417i 0.558051 0.419360i
\(16\) 6.41525 + 5.38303i 1.60381 + 1.34576i
\(17\) −5.00468 0.882460i −1.21381 0.214028i −0.470152 0.882585i \(-0.655801\pi\)
−0.743660 + 0.668558i \(0.766912\pi\)
\(18\) 3.12951 + 7.07956i 0.737632 + 1.66867i
\(19\) −0.461268 4.33442i −0.105822 0.994385i
\(20\) 7.26931i 1.62547i
\(21\) −3.54142 + 3.78760i −0.772801 + 0.826523i
\(22\) 2.02803 2.41691i 0.432377 0.515287i
\(23\) 0.211619 0.581418i 0.0441256 0.121234i −0.915673 0.401925i \(-0.868341\pi\)
0.959798 + 0.280691i \(0.0905635\pi\)
\(24\) −11.5666 2.68655i −2.36102 0.548389i
\(25\) 1.96382 1.64784i 0.392764 0.329568i
\(26\) 0.707514 0.408483i 0.138755 0.0801102i
\(27\) −4.02510 3.28612i −0.774631 0.632413i
\(28\) −2.42104 13.7304i −0.457534 2.59481i
\(29\) 0.204862 + 1.16183i 0.0380420 + 0.215747i 0.997903 0.0647299i \(-0.0206186\pi\)
−0.959861 + 0.280477i \(0.909507\pi\)
\(30\) −3.15858 6.21948i −0.576675 1.13552i
\(31\) −4.50103 + 2.59867i −0.808409 + 0.466735i −0.846403 0.532543i \(-0.821237\pi\)
0.0379939 + 0.999278i \(0.487903\pi\)
\(32\) 6.04864 5.07541i 1.06926 0.897214i
\(33\) −0.479186 + 2.06307i −0.0834156 + 0.359135i
\(34\) −4.48456 + 12.3212i −0.769095 + 2.11307i
\(35\) 3.00371 3.57969i 0.507720 0.605077i
\(36\) 13.5653 3.34394i 2.26088 0.557323i
\(37\) 3.64847i 0.599805i 0.953970 + 0.299902i \(0.0969541\pi\)
−0.953970 + 0.299902i \(0.903046\pi\)
\(38\) −11.2202 0.769925i −1.82015 0.124898i
\(39\) −0.299308 + 0.459555i −0.0479276 + 0.0735878i
\(40\) 10.5386 + 1.85823i 1.66629 + 0.293812i
\(41\) 0.118123 + 0.0991172i 0.0184477 + 0.0154795i 0.651965 0.758249i \(-0.273945\pi\)
−0.633517 + 0.773729i \(0.718389\pi\)
\(42\) 8.03739 + 10.6955i 1.24020 + 1.65035i
\(43\) 8.99072 3.27235i 1.37107 0.499029i 0.451613 0.892214i \(-0.350849\pi\)
0.919460 + 0.393185i \(0.128627\pi\)
\(44\) −3.66057 4.36249i −0.551851 0.657671i
\(45\) 3.78106 + 2.76248i 0.563647 + 0.411807i
\(46\) −1.38254 0.798207i −0.203844 0.117689i
\(47\) 8.03246 1.41634i 1.17165 0.206594i 0.446244 0.894911i \(-0.352761\pi\)
0.725410 + 0.688317i \(0.241650\pi\)
\(48\) −5.68532 + 13.3444i −0.820605 + 1.92611i
\(49\) −0.981262 + 1.69960i −0.140180 + 0.242799i
\(50\) −3.30720 5.72824i −0.467709 0.810095i
\(51\) −1.06109 8.73789i −0.148583 1.22355i
\(52\) −0.504348 1.38568i −0.0699404 0.192160i
\(53\) 2.88328 + 1.04943i 0.396048 + 0.144150i 0.532364 0.846516i \(-0.321304\pi\)
−0.136315 + 0.990665i \(0.543526\pi\)
\(54\) −10.1532 + 8.75525i −1.38168 + 1.19144i
\(55\) 0.331444 1.87971i 0.0446919 0.253460i
\(56\) −20.5243 −2.74268
\(57\) 6.94974 2.94976i 0.920516 0.390705i
\(58\) 3.04393 0.399688
\(59\) −0.468861 + 2.65904i −0.0610405 + 0.346178i 0.938957 + 0.344034i \(0.111794\pi\)
−0.999998 + 0.00214403i \(0.999318\pi\)
\(60\) −12.0455 + 3.66519i −1.55507 + 0.473175i
\(61\) −6.47830 2.35791i −0.829462 0.301899i −0.107824 0.994170i \(-0.534388\pi\)
−0.721638 + 0.692271i \(0.756610\pi\)
\(62\) 4.58645 + 12.6012i 0.582479 + 1.60035i
\(63\) −8.06180 3.95856i −1.01569 0.498731i
\(64\) −1.81179 3.13812i −0.226474 0.392265i
\(65\) 0.247119 0.428023i 0.0306514 0.0530898i
\(66\) 5.02745 + 2.14192i 0.618837 + 0.263652i
\(67\) 8.96745 1.58120i 1.09555 0.193175i 0.403467 0.914994i \(-0.367805\pi\)
0.692081 + 0.721820i \(0.256694\pi\)
\(68\) 20.4962 + 11.8335i 2.48552 + 1.43502i
\(69\) 1.07013 + 0.0575091i 0.128829 + 0.00692329i
\(70\) −7.75000 9.23609i −0.926302 1.10392i
\(71\) −12.9496 + 4.71326i −1.53683 + 0.559360i −0.965282 0.261208i \(-0.915879\pi\)
−0.571548 + 0.820569i \(0.693657\pi\)
\(72\) −1.38017 20.5208i −0.162654 2.41840i
\(73\) −0.335304 0.281354i −0.0392444 0.0329300i 0.622954 0.782258i \(-0.285932\pi\)
−0.662199 + 0.749328i \(0.730377\pi\)
\(74\) 9.27055 + 1.63465i 1.07768 + 0.190024i
\(75\) 3.72070 + 2.42328i 0.429629 + 0.279817i
\(76\) −4.88536 + 19.7033i −0.560390 + 2.26012i
\(77\) 3.66082i 0.417190i
\(78\) 1.03360 + 0.966421i 0.117032 + 0.109426i
\(79\) −0.940136 + 1.12041i −0.105774 + 0.126056i −0.816334 0.577580i \(-0.803997\pi\)
0.710560 + 0.703636i \(0.248442\pi\)
\(80\) 4.47082 12.2835i 0.499852 1.37333i
\(81\) 3.41576 8.32662i 0.379529 0.925180i
\(82\) 0.304774 0.255736i 0.0336567 0.0282413i
\(83\) 9.46265 5.46326i 1.03866 0.599671i 0.119207 0.992869i \(-0.461965\pi\)
0.919454 + 0.393198i \(0.128631\pi\)
\(84\) 21.5312 10.9347i 2.34924 1.19307i
\(85\) 1.37743 + 7.81181i 0.149404 + 0.847310i
\(86\) −4.28669 24.3110i −0.462246 2.62153i
\(87\) −1.82191 + 0.925262i −0.195329 + 0.0991985i
\(88\) −7.26019 + 4.19167i −0.773939 + 0.446834i
\(89\) −6.02351 + 5.05433i −0.638491 + 0.535758i −0.903554 0.428473i \(-0.859052\pi\)
0.265063 + 0.964231i \(0.414607\pi\)
\(90\) 8.71336 8.36976i 0.918469 0.882250i
\(91\) −0.324211 + 0.890763i −0.0339866 + 0.0933773i
\(92\) −1.85220 + 2.20736i −0.193105 + 0.230134i
\(93\) −6.57553 6.14814i −0.681851 0.637532i
\(94\) 21.0446i 2.17058i
\(95\) −6.11134 + 2.99055i −0.627011 + 0.306824i
\(96\) 11.4599 + 7.46380i 1.16962 + 0.761771i
\(97\) −18.2890 3.22484i −1.85697 0.327433i −0.870599 0.491994i \(-0.836268\pi\)
−0.986367 + 0.164561i \(0.947379\pi\)
\(98\) 3.87893 + 3.25481i 0.391831 + 0.328786i
\(99\) −3.66020 + 0.246173i −0.367864 + 0.0247414i
\(100\) −11.2189 + 4.08335i −1.12189 + 0.408335i
\(101\) 9.92594 + 11.8293i 0.987668 + 1.17706i 0.984200 + 0.177062i \(0.0566595\pi\)
0.00346803 + 0.999994i \(0.498896\pi\)
\(102\) −22.6779 1.21871i −2.24544 0.120671i
\(103\) 6.42425 + 3.70904i 0.633000 + 0.365463i 0.781913 0.623387i \(-0.214244\pi\)
−0.148913 + 0.988850i \(0.547577\pi\)
\(104\) −2.13780 + 0.376951i −0.209628 + 0.0369631i
\(105\) 7.44616 + 3.17239i 0.726671 + 0.309594i
\(106\) 3.95834 6.85605i 0.384468 0.665919i
\(107\) 6.82023 + 11.8130i 0.659337 + 1.14200i 0.980788 + 0.195078i \(0.0624962\pi\)
−0.321451 + 0.946926i \(0.604171\pi\)
\(108\) 12.3807 + 20.7922i 1.19133 + 2.00073i
\(109\) −0.443482 1.21846i −0.0424778 0.116707i 0.916640 0.399714i \(-0.130890\pi\)
−0.959118 + 0.283007i \(0.908668\pi\)
\(110\) −4.62773 1.68436i −0.441237 0.160597i
\(111\) −6.04566 + 1.83956i −0.573829 + 0.174604i
\(112\) −4.35356 + 24.6903i −0.411373 + 2.33301i
\(113\) −6.86179 −0.645503 −0.322752 0.946484i \(-0.604608\pi\)
−0.322752 + 0.946484i \(0.604608\pi\)
\(114\) −4.38143 18.9805i −0.410359 1.77769i
\(115\) −0.965781 −0.0900595
\(116\) 0.954068 5.41079i 0.0885830 0.502379i
\(117\) −0.912413 0.264256i −0.0843526 0.0244305i
\(118\) 6.54641 + 2.38270i 0.602646 + 0.219345i
\(119\) −5.20345 14.2964i −0.477000 1.31055i
\(120\) 2.23439 + 18.3997i 0.203971 + 1.67966i
\(121\) −4.75235 8.23131i −0.432032 0.748301i
\(122\) −8.89382 + 15.4046i −0.805209 + 1.39466i
\(123\) −0.104683 + 0.245710i −0.00943896 + 0.0221549i
\(124\) 23.8369 4.20309i 2.14062 0.377449i
\(125\) −10.2243 5.90301i −0.914490 0.527981i
\(126\) −13.6704 + 18.7110i −1.21786 + 1.66691i
\(127\) −2.00315 2.38726i −0.177751 0.211835i 0.669811 0.742531i \(-0.266375\pi\)
−0.847562 + 0.530696i \(0.821931\pi\)
\(128\) 6.05398 2.20347i 0.535101 0.194761i
\(129\) 9.95556 + 13.2481i 0.876538 + 1.16643i
\(130\) −0.976864 0.819686i −0.0856766 0.0718912i
\(131\) −3.61069 0.636662i −0.315467 0.0556254i 0.0136728 0.999907i \(-0.495648\pi\)
−0.329140 + 0.944281i \(0.606759\pi\)
\(132\) 5.38316 8.26528i 0.468544 0.719400i
\(133\) 10.5472 7.68400i 0.914561 0.666287i
\(134\) 23.4942i 2.02959i
\(135\) −2.67113 + 7.65822i −0.229894 + 0.659115i
\(136\) 22.3947 26.6890i 1.92033 2.28856i
\(137\) 5.40504 14.8502i 0.461784 1.26874i −0.462359 0.886693i \(-0.652997\pi\)
0.924143 0.382048i \(-0.124781\pi\)
\(138\) 0.625585 2.69337i 0.0532533 0.229275i
\(139\) −5.59691 + 4.69637i −0.474724 + 0.398341i −0.848514 0.529173i \(-0.822502\pi\)
0.373790 + 0.927513i \(0.378058\pi\)
\(140\) −18.8469 + 10.8812i −1.59285 + 0.919632i
\(141\) 6.39691 + 12.5960i 0.538717 + 1.06077i
\(142\) 6.17423 + 35.0158i 0.518130 + 2.93846i
\(143\) 0.0672349 + 0.381308i 0.00562247 + 0.0318866i
\(144\) −24.9788 2.69251i −2.08157 0.224376i
\(145\) 1.59477 0.920741i 0.132439 0.0764634i
\(146\) −0.865132 + 0.725932i −0.0715988 + 0.0600786i
\(147\) −3.31105 0.769052i −0.273091 0.0634304i
\(148\) 5.81139 15.9667i 0.477693 1.31245i
\(149\) −3.59311 + 4.28210i −0.294359 + 0.350803i −0.892873 0.450309i \(-0.851314\pi\)
0.598514 + 0.801113i \(0.295758\pi\)
\(150\) 7.82443 8.36835i 0.638862 0.683273i
\(151\) 19.1657i 1.55968i 0.625980 + 0.779839i \(0.284699\pi\)
−0.625980 + 0.779839i \(0.715301\pi\)
\(152\) 27.3157 + 12.1192i 2.21559 + 0.982994i
\(153\) 13.9440 6.16393i 1.12731 0.498324i
\(154\) 9.30194 + 1.64018i 0.749572 + 0.132170i
\(155\) 6.21457 + 5.21465i 0.499167 + 0.418850i
\(156\) 2.04184 1.53439i 0.163478 0.122849i
\(157\) −13.5243 + 4.92243i −1.07935 + 0.392853i −0.819667 0.572840i \(-0.805842\pi\)
−0.259687 + 0.965693i \(0.583619\pi\)
\(158\) 2.42568 + 2.89081i 0.192977 + 0.229981i
\(159\) −0.285190 + 5.30683i −0.0226171 + 0.420859i
\(160\) −10.6736 6.16239i −0.843820 0.487180i
\(161\) 1.82419 0.321653i 0.143766 0.0253498i
\(162\) −19.6271 12.4099i −1.54205 0.975012i
\(163\) −0.951823 + 1.64861i −0.0745525 + 0.129129i −0.900892 0.434044i \(-0.857086\pi\)
0.826339 + 0.563173i \(0.190420\pi\)
\(164\) −0.359061 0.621912i −0.0280380 0.0485632i
\(165\) 3.28187 0.398537i 0.255493 0.0310261i
\(166\) −9.64222 26.4918i −0.748381 2.05616i
\(167\) −12.4088 4.51642i −0.960220 0.349491i −0.186100 0.982531i \(-0.559585\pi\)
−0.774120 + 0.633039i \(0.781807\pi\)
\(168\) −10.3484 34.0096i −0.798396 2.62390i
\(169\) 2.24002 12.7038i 0.172309 0.977213i
\(170\) 20.4665 1.56971
\(171\) 8.39194 + 10.0287i 0.641748 + 0.766916i
\(172\) −44.5580 −3.39752
\(173\) 2.37910 13.4925i 0.180880 1.02582i −0.750256 0.661147i \(-0.770070\pi\)
0.931136 0.364672i \(-0.118819\pi\)
\(174\) 1.53475 + 5.04392i 0.116349 + 0.382378i
\(175\) 7.21188 + 2.62491i 0.545167 + 0.198424i
\(176\) 3.50247 + 9.62296i 0.264009 + 0.725358i
\(177\) −4.64254 + 0.563772i −0.348955 + 0.0423757i
\(178\) 10.1440 + 17.5699i 0.760325 + 1.31692i
\(179\) 9.56990 16.5756i 0.715288 1.23892i −0.247560 0.968873i \(-0.579629\pi\)
0.962848 0.270043i \(-0.0870379\pi\)
\(180\) −12.1467 18.1119i −0.905365 1.34998i
\(181\) 6.05191 1.06712i 0.449835 0.0793181i 0.0558589 0.998439i \(-0.482210\pi\)
0.393976 + 0.919121i \(0.371099\pi\)
\(182\) 2.11812 + 1.22290i 0.157005 + 0.0906471i
\(183\) 0.640781 11.9237i 0.0473679 0.881423i
\(184\) 2.72662 + 3.24946i 0.201009 + 0.239553i
\(185\) 5.35146 1.94777i 0.393447 0.143203i
\(186\) −18.5681 + 13.9534i −1.36148 + 1.02312i
\(187\) −4.76039 3.99444i −0.348114 0.292102i
\(188\) −37.4081 6.59606i −2.72827 0.481067i
\(189\) 2.49472 15.3546i 0.181464 1.11688i
\(190\) 4.86070 + 16.8684i 0.352633 + 1.22377i
\(191\) 26.3867i 1.90927i 0.297773 + 0.954637i \(0.403756\pi\)
−0.297773 + 0.954637i \(0.596244\pi\)
\(192\) 4.28648 4.58446i 0.309350 0.330855i
\(193\) −5.01339 + 5.97472i −0.360871 + 0.430070i −0.915680 0.401908i \(-0.868347\pi\)
0.554809 + 0.831978i \(0.312792\pi\)
\(194\) −16.3883 + 45.0264i −1.17661 + 3.23271i
\(195\) 0.833850 + 0.193677i 0.0597132 + 0.0138695i
\(196\) 7.00142 5.87489i 0.500102 0.419635i
\(197\) 20.9467 12.0936i 1.49239 0.861630i 0.492426 0.870355i \(-0.336110\pi\)
0.999962 + 0.00872425i \(0.00277705\pi\)
\(198\) −1.01439 + 9.41065i −0.0720896 + 0.668786i
\(199\) −0.711595 4.03566i −0.0504437 0.286080i 0.949142 0.314847i \(-0.101953\pi\)
−0.999586 + 0.0287666i \(0.990842\pi\)
\(200\) 3.05191 + 17.3082i 0.215803 + 1.22388i
\(201\) 7.14152 + 14.0622i 0.503724 + 0.991869i
\(202\) 34.5047 19.9213i 2.42774 1.40166i
\(203\) −2.70558 + 2.27025i −0.189895 + 0.159341i
\(204\) −9.27433 + 39.9294i −0.649333 + 2.79562i
\(205\) 0.0823207 0.226174i 0.00574952 0.0157967i
\(206\) 12.3028 14.6619i 0.857174 1.02154i
\(207\) 0.444267 + 1.80225i 0.0308787 + 0.125265i
\(208\) 2.65168i 0.183861i
\(209\) 2.16164 4.87216i 0.149524 0.337015i
\(210\) 11.3970 17.4989i 0.786468 1.20754i
\(211\) 9.83078 + 1.73343i 0.676779 + 0.119334i 0.501465 0.865178i \(-0.332795\pi\)
0.175314 + 0.984512i \(0.443906\pi\)
\(212\) −10.9464 9.18513i −0.751802 0.630837i
\(213\) −14.3392 19.0815i −0.982508 1.30744i
\(214\) 33.0718 12.0372i 2.26074 0.822843i
\(215\) −9.59958 11.4403i −0.654686 0.780224i
\(216\) 33.3080 12.6336i 2.26632 0.859609i
\(217\) −13.4750 7.77977i −0.914740 0.528125i
\(218\) −3.29472 + 0.580948i −0.223147 + 0.0393468i
\(219\) 0.297154 0.697472i 0.0200798 0.0471308i
\(220\) −4.44454 + 7.69817i −0.299651 + 0.519010i
\(221\) −0.804555 1.39353i −0.0541202 0.0937390i
\(222\) 1.96555 + 16.1859i 0.131919 + 1.08632i
\(223\) 3.65141 + 10.0322i 0.244516 + 0.671803i 0.999864 + 0.0164789i \(0.00524564\pi\)
−0.755348 + 0.655324i \(0.772532\pi\)
\(224\) 22.2129 + 8.08482i 1.48416 + 0.540190i
\(225\) −2.13950 + 7.38716i −0.142633 + 0.492478i
\(226\) −3.07433 + 17.4354i −0.204502 + 1.15979i
\(227\) −0.519141 −0.0344566 −0.0172283 0.999852i \(-0.505484\pi\)
−0.0172283 + 0.999852i \(0.505484\pi\)
\(228\) −35.1123 + 1.83918i −2.32537 + 0.121803i
\(229\) −3.84464 −0.254061 −0.127030 0.991899i \(-0.540545\pi\)
−0.127030 + 0.991899i \(0.540545\pi\)
\(230\) −0.432705 + 2.45399i −0.0285317 + 0.161811i
\(231\) −6.06613 + 1.84579i −0.399122 + 0.121444i
\(232\) −7.60031 2.76629i −0.498985 0.181616i
\(233\) 6.29055 + 17.2831i 0.412107 + 1.13226i 0.956068 + 0.293145i \(0.0947019\pi\)
−0.543960 + 0.839111i \(0.683076\pi\)
\(234\) −1.08025 + 2.19999i −0.0706184 + 0.143818i
\(235\) −6.36565 11.0256i −0.415249 0.719233i
\(236\) 6.28726 10.8899i 0.409266 0.708869i
\(237\) −2.33058 0.992930i −0.151388 0.0644978i
\(238\) −38.6576 + 6.81637i −2.50580 + 0.441840i
\(239\) −14.2757 8.24205i −0.923415 0.533134i −0.0386922 0.999251i \(-0.512319\pi\)
−0.884723 + 0.466117i \(0.845653\pi\)
\(240\) 22.6084 + 1.21498i 1.45937 + 0.0784267i
\(241\) −7.68280 9.15600i −0.494893 0.589790i 0.459562 0.888146i \(-0.348006\pi\)
−0.954455 + 0.298356i \(0.903562\pi\)
\(242\) −23.0445 + 8.38752i −1.48136 + 0.539170i
\(243\) 15.5198 + 1.46176i 0.995594 + 0.0937722i
\(244\) 24.5950 + 20.6376i 1.57453 + 1.32119i
\(245\) 3.01677 + 0.531938i 0.192734 + 0.0339843i
\(246\) 0.577432 + 0.376081i 0.0368157 + 0.0239780i
\(247\) 0.957466 0.994070i 0.0609221 0.0632511i
\(248\) 35.6316i 2.26261i
\(249\) 13.8239 + 12.9254i 0.876056 + 0.819114i
\(250\) −19.5801 + 23.3346i −1.23835 + 1.47581i
\(251\) −3.07435 + 8.44670i −0.194051 + 0.533151i −0.998114 0.0613939i \(-0.980445\pi\)
0.804063 + 0.594545i \(0.202668\pi\)
\(252\) 28.9752 + 30.1647i 1.82527 + 1.90020i
\(253\) 0.579589 0.486333i 0.0364385 0.0305755i
\(254\) −6.96338 + 4.02031i −0.436921 + 0.252257i
\(255\) −12.2500 + 6.22119i −0.767124 + 0.389586i
\(256\) −4.14494 23.5071i −0.259059 1.46919i
\(257\) 2.19345 + 12.4397i 0.136824 + 0.775965i 0.973572 + 0.228378i \(0.0733423\pi\)
−0.836749 + 0.547587i \(0.815547\pi\)
\(258\) 38.1230 19.3609i 2.37343 1.20535i
\(259\) −9.45925 + 5.46130i −0.587769 + 0.339349i
\(260\) −1.76323 + 1.47952i −0.109351 + 0.0917561i
\(261\) −2.45181 2.55246i −0.151763 0.157993i
\(262\) −3.23544 + 8.88930i −0.199886 + 0.549183i
\(263\) 0.255221 0.304161i 0.0157376 0.0187553i −0.758118 0.652117i \(-0.773881\pi\)
0.773856 + 0.633362i \(0.218325\pi\)
\(264\) −10.6064 9.91698i −0.652777 0.610348i
\(265\) 4.78935i 0.294207i
\(266\) −14.7990 30.2426i −0.907387 1.85429i
\(267\) −11.4123 7.43280i −0.698421 0.454880i
\(268\) −41.7625 7.36385i −2.55105 0.449819i
\(269\) −14.7929 12.4127i −0.901936 0.756814i 0.0686317 0.997642i \(-0.478137\pi\)
−0.970568 + 0.240828i \(0.922581\pi\)
\(270\) 18.2623 + 10.2183i 1.11141 + 0.621869i
\(271\) −0.628030 + 0.228584i −0.0381501 + 0.0138855i −0.361025 0.932556i \(-0.617573\pi\)
0.322875 + 0.946442i \(0.395351\pi\)
\(272\) −27.3559 32.6015i −1.65870 1.97676i
\(273\) −1.63950 0.0881070i −0.0992269 0.00533248i
\(274\) −35.3119 20.3873i −2.13327 1.23164i
\(275\) 3.08718 0.544354i 0.186164 0.0328258i
\(276\) −4.59157 1.95621i −0.276380 0.117750i
\(277\) 9.43326 16.3389i 0.566790 0.981709i −0.430091 0.902786i \(-0.641518\pi\)
0.996881 0.0789232i \(-0.0251482\pi\)
\(278\) 9.42557 + 16.3256i 0.565308 + 0.979143i
\(279\) 6.87232 13.9958i 0.411435 0.837907i
\(280\) 10.9571 + 30.1045i 0.654813 + 1.79909i
\(281\) 12.1777 + 4.43233i 0.726463 + 0.264411i 0.678667 0.734446i \(-0.262558\pi\)
0.0477960 + 0.998857i \(0.484780\pi\)
\(282\) 34.8717 10.6107i 2.07658 0.631858i
\(283\) −2.29514 + 13.0164i −0.136432 + 0.773742i 0.837420 + 0.546559i \(0.184063\pi\)
−0.973852 + 0.227183i \(0.927048\pi\)
\(284\) 64.1780 3.80827
\(285\) −8.03681 8.61890i −0.476059 0.510540i
\(286\) 0.999006 0.0590724
\(287\) −0.0801617 + 0.454619i −0.00473179 + 0.0268353i
\(288\) −6.58973 + 22.7527i −0.388304 + 1.34072i
\(289\) 8.29328 + 3.01851i 0.487840 + 0.177559i
\(290\) −1.62503 4.46474i −0.0954253 0.262179i
\(291\) −3.87764 31.9316i −0.227311 1.87186i
\(292\) 1.01923 + 1.76536i 0.0596460 + 0.103310i
\(293\) 2.19757 3.80631i 0.128384 0.222367i −0.794667 0.607046i \(-0.792354\pi\)
0.923051 + 0.384679i \(0.125688\pi\)
\(294\) −3.43759 + 8.06863i −0.200484 + 0.470572i
\(295\) 4.15051 0.731847i 0.241652 0.0426098i
\(296\) −21.6618 12.5065i −1.25907 0.726924i
\(297\) −2.25340 5.94098i −0.130755 0.344730i
\(298\) 9.27072 + 11.0484i 0.537038 + 0.640017i
\(299\) 0.184098 0.0670063i 0.0106467 0.00387507i
\(300\) −12.4229 16.5313i −0.717234 0.954437i
\(301\) 21.9421 + 18.4116i 1.26472 + 1.06123i
\(302\) 48.6988 + 8.58691i 2.80230 + 0.494121i
\(303\) −14.5969 + 22.4120i −0.838570 + 1.28754i
\(304\) 20.3732 30.2894i 1.16848 1.73722i
\(305\) 10.7610i 0.616171i
\(306\) −9.41475 38.1926i −0.538205 2.18333i
\(307\) 15.1110 18.0086i 0.862431 1.02781i −0.136876 0.990588i \(-0.543706\pi\)
0.999307 0.0372172i \(-0.0118493\pi\)
\(308\) 5.83106 16.0207i 0.332256 0.912865i
\(309\) −2.90692 + 12.5153i −0.165369 + 0.711973i
\(310\) 16.0345 13.4545i 0.910696 0.764165i
\(311\) −8.52818 + 4.92375i −0.483589 + 0.279200i −0.721911 0.691986i \(-0.756736\pi\)
0.238322 + 0.971186i \(0.423403\pi\)
\(312\) −1.70250 3.35236i −0.0963853 0.189790i
\(313\) −1.00653 5.70833i −0.0568926 0.322654i 0.943058 0.332629i \(-0.107936\pi\)
−0.999950 + 0.00997537i \(0.996825\pi\)
\(314\) 6.44824 + 36.5698i 0.363895 + 2.06375i
\(315\) −1.50241 + 13.9381i −0.0846514 + 0.785323i
\(316\) 5.89890 3.40573i 0.331839 0.191587i
\(317\) −4.09664 + 3.43749i −0.230090 + 0.193069i −0.750543 0.660822i \(-0.770208\pi\)
0.520452 + 0.853891i \(0.325763\pi\)
\(318\) 13.3566 + 3.10230i 0.748998 + 0.173968i
\(319\) −0.493409 + 1.35563i −0.0276256 + 0.0759007i
\(320\) −3.63565 + 4.33280i −0.203239 + 0.242211i
\(321\) −16.1358 + 17.2575i −0.900614 + 0.963221i
\(322\) 4.77926i 0.266338i
\(323\) −1.51646 + 22.0994i −0.0843779 + 1.22965i
\(324\) −28.2111 + 30.9987i −1.56729 + 1.72215i
\(325\) 0.799392 + 0.140954i 0.0443423 + 0.00781875i
\(326\) 3.76256 + 3.15716i 0.208389 + 0.174859i
\(327\) 1.79543 1.34921i 0.0992873 0.0746117i
\(328\) −0.993393 + 0.361565i −0.0548509 + 0.0199641i
\(329\) 15.6957 + 18.7054i 0.865330 + 1.03126i
\(330\) 0.457738 8.51760i 0.0251976 0.468878i
\(331\) −4.46270 2.57654i −0.245292 0.141620i 0.372314 0.928107i \(-0.378564\pi\)
−0.617607 + 0.786487i \(0.711898\pi\)
\(332\) −50.1130 + 8.83628i −2.75031 + 0.484954i
\(333\) −6.09646 9.09039i −0.334084 0.498150i
\(334\) −17.0355 + 29.5064i −0.932144 + 1.61452i
\(335\) −7.10662 12.3090i −0.388276 0.672514i
\(336\) −43.1078 + 5.23484i −2.35173 + 0.285584i
\(337\) 10.8959 + 29.9364i 0.593540 + 1.63074i 0.763884 + 0.645353i \(0.223290\pi\)
−0.170344 + 0.985385i \(0.554488\pi\)
\(338\) −31.2759 11.3835i −1.70119 0.619181i
\(339\) −3.45972 11.3703i −0.187906 0.617548i
\(340\) 6.41487 36.3805i 0.347895 1.97301i
\(341\) −6.35543 −0.344166
\(342\) 29.2423 16.8302i 1.58124 0.910073i
\(343\) 15.0809 0.814294
\(344\) −11.3902 + 64.5973i −0.614121 + 3.48285i
\(345\) −0.486948 1.60034i −0.0262164 0.0861592i
\(346\) −33.2178 12.0903i −1.78580 0.649979i
\(347\) −4.16813 11.4518i −0.223757 0.614767i 0.776118 0.630588i \(-0.217186\pi\)
−0.999875 + 0.0158208i \(0.994964\pi\)
\(348\) 9.44693 1.14720i 0.506409 0.0614963i
\(349\) 7.60525 + 13.1727i 0.407100 + 0.705117i 0.994563 0.104133i \(-0.0332069\pi\)
−0.587464 + 0.809250i \(0.699874\pi\)
\(350\) 9.90092 17.1489i 0.529227 0.916647i
\(351\) −0.0221566 1.64514i −0.00118263 0.0878112i
\(352\) 9.50864 1.67663i 0.506812 0.0893647i
\(353\) −11.6828 6.74506i −0.621812 0.359003i 0.155762 0.987795i \(-0.450217\pi\)
−0.777574 + 0.628791i \(0.783550\pi\)
\(354\) −0.647517 + 12.0490i −0.0344152 + 0.640398i
\(355\) 13.8265 + 16.4778i 0.733835 + 0.874550i
\(356\) 34.4111 12.5246i 1.82379 0.663804i
\(357\) 21.0661 15.8306i 1.11493 0.837843i
\(358\) −37.8299 31.7430i −1.99937 1.67767i
\(359\) 17.2391 + 3.03973i 0.909847 + 0.160431i 0.608934 0.793221i \(-0.291597\pi\)
0.300913 + 0.953652i \(0.402709\pi\)
\(360\) −29.3625 + 12.9796i −1.54754 + 0.684087i
\(361\) −18.5745 + 3.99866i −0.977603 + 0.210456i
\(362\) 15.8557i 0.833355i
\(363\) 11.2435 12.0251i 0.590129 0.631153i
\(364\) 2.83766 3.38180i 0.148734 0.177254i
\(365\) −0.233675 + 0.642018i −0.0122311 + 0.0336047i
\(366\) −30.0102 6.97042i −1.56866 0.364350i
\(367\) −0.400474 + 0.336037i −0.0209046 + 0.0175410i −0.653180 0.757203i \(-0.726566\pi\)
0.632275 + 0.774744i \(0.282121\pi\)
\(368\) 4.48738 2.59079i 0.233921 0.135054i
\(369\) −0.459932 0.0495770i −0.0239431 0.00258087i
\(370\) −2.55153 14.4704i −0.132648 0.752281i
\(371\) 1.59509 + 9.04622i 0.0828131 + 0.469656i
\(372\) 18.9833 + 37.3795i 0.984238 + 1.93804i
\(373\) 2.06421 1.19177i 0.106881 0.0617078i −0.445607 0.895229i \(-0.647012\pi\)
0.552488 + 0.833521i \(0.313679\pi\)
\(374\) −12.2825 + 10.3062i −0.635111 + 0.532921i
\(375\) 4.62641 19.9184i 0.238907 1.02858i
\(376\) −19.1251 + 52.5456i −0.986299 + 2.70983i
\(377\) −0.240116 + 0.286159i −0.0123666 + 0.0147379i
\(378\) −37.8975 13.2184i −1.94924 0.679879i
\(379\) 18.6924i 0.960166i −0.877223 0.480083i \(-0.840607\pi\)
0.877223 0.480083i \(-0.159393\pi\)
\(380\) 31.5083 3.35310i 1.61634 0.172010i
\(381\) 2.94580 4.52296i 0.150918 0.231718i
\(382\) 67.0470 + 11.8222i 3.43042 + 0.604876i
\(383\) 25.4328 + 21.3407i 1.29956 + 1.09046i 0.990222 + 0.139503i \(0.0445506\pi\)
0.309334 + 0.950953i \(0.399894\pi\)
\(384\) 6.70366 + 8.92069i 0.342095 + 0.455232i
\(385\) 5.36958 1.95437i 0.273659 0.0996038i
\(386\) 12.9352 + 15.4156i 0.658386 + 0.784634i
\(387\) −16.9330 + 23.1764i −0.860750 + 1.17812i
\(388\) 74.9007 + 43.2440i 3.80251 + 2.19538i
\(389\) −20.5469 + 3.62298i −1.04177 + 0.183692i −0.668255 0.743932i \(-0.732959\pi\)
−0.373515 + 0.927624i \(0.621847\pi\)
\(390\) 0.865716 2.03199i 0.0438373 0.102894i
\(391\) −1.57216 + 2.72306i −0.0795076 + 0.137711i
\(392\) −6.72727 11.6520i −0.339779 0.588514i
\(393\) −0.765540 6.30406i −0.0386164 0.317998i
\(394\) −21.3442 58.6426i −1.07530 2.95437i
\(395\) 2.14528 + 0.780820i 0.107941 + 0.0392873i
\(396\) 16.4101 + 4.75275i 0.824638 + 0.238835i
\(397\) −4.74235 + 26.8952i −0.238012 + 1.34983i 0.598165 + 0.801373i \(0.295897\pi\)
−0.836177 + 0.548460i \(0.815214\pi\)
\(398\) −10.5732 −0.529986
\(399\) 18.0506 + 13.6029i 0.903661 + 0.680997i
\(400\) 21.4688 1.07344
\(401\) 3.70169 20.9933i 0.184853 1.04836i −0.741290 0.671185i \(-0.765786\pi\)
0.926144 0.377171i \(-0.123103\pi\)
\(402\) 38.9308 11.8458i 1.94169 0.590815i
\(403\) −1.54642 0.562852i −0.0770328 0.0280377i
\(404\) −24.5965 67.5783i −1.22372 3.36214i
\(405\) −14.0368 0.564885i −0.697492 0.0280694i
\(406\) 4.55638 + 7.89189i 0.226129 + 0.391668i
\(407\) −2.23072 + 3.86372i −0.110573 + 0.191517i
\(408\) 55.5162 + 23.6523i 2.74846 + 1.17097i
\(409\) −27.5154 + 4.85171i −1.36055 + 0.239902i −0.805836 0.592139i \(-0.798283\pi\)
−0.554714 + 0.832041i \(0.687172\pi\)
\(410\) −0.537812 0.310506i −0.0265607 0.0153348i
\(411\) 27.3326 + 1.46886i 1.34822 + 0.0724537i
\(412\) −22.2063 26.4645i −1.09403 1.30381i
\(413\) −7.59583 + 2.76466i −0.373766 + 0.136040i
\(414\) 4.77845 0.321383i 0.234848 0.0157951i
\(415\) −13.0651 10.9629i −0.641339 0.538147i
\(416\) 2.46216 + 0.434145i 0.120717 + 0.0212857i
\(417\) −10.6040 6.90639i −0.519282 0.338208i
\(418\) −11.4114 7.67550i −0.558149 0.375421i
\(419\) 18.7147i 0.914272i −0.889397 0.457136i \(-0.848875\pi\)
0.889397 0.457136i \(-0.151125\pi\)
\(420\) −27.5332 25.7437i −1.34348 1.25616i
\(421\) 7.28959 8.68740i 0.355273 0.423398i −0.558575 0.829454i \(-0.688652\pi\)
0.913848 + 0.406056i \(0.133096\pi\)
\(422\) 8.80910 24.2028i 0.428820 1.17817i
\(423\) −17.6467 + 16.9508i −0.858013 + 0.824178i
\(424\) −16.1142 + 13.5214i −0.782574 + 0.656657i
\(425\) −11.2824 + 6.51391i −0.547278 + 0.315971i
\(426\) −54.9095 + 27.8859i −2.66037 + 1.35108i
\(427\) −3.58394 20.3255i −0.173439 0.983622i
\(428\) −11.0310 62.5602i −0.533206 3.02396i
\(429\) −0.597943 + 0.303667i −0.0288690 + 0.0146612i
\(430\) −33.3702 + 19.2663i −1.60925 + 0.929102i
\(431\) −0.337025 + 0.282798i −0.0162339 + 0.0136219i −0.650868 0.759190i \(-0.725595\pi\)
0.634635 + 0.772812i \(0.281151\pi\)
\(432\) −8.13276 42.7485i −0.391287 2.05674i
\(433\) 11.3377 31.1501i 0.544856 1.49698i −0.295713 0.955277i \(-0.595557\pi\)
0.840570 0.541704i \(-0.182220\pi\)
\(434\) −25.8052 + 30.7534i −1.23869 + 1.47621i
\(435\) 2.32979 + 2.17836i 0.111705 + 0.104444i
\(436\) 6.03867i 0.289200i
\(437\) −2.61773 0.649056i −0.125223 0.0310486i
\(438\) −1.63910 1.06754i −0.0783192 0.0510092i
\(439\) 5.42779 + 0.957066i 0.259054 + 0.0456783i 0.301667 0.953413i \(-0.402457\pi\)
−0.0426125 + 0.999092i \(0.513568\pi\)
\(440\) 10.0241 + 8.41126i 0.477882 + 0.400991i
\(441\) −0.395087 5.87430i −0.0188137 0.279729i
\(442\) −3.90135 + 1.41997i −0.185568 + 0.0675413i
\(443\) 4.10597 + 4.89330i 0.195080 + 0.232488i 0.854714 0.519100i \(-0.173733\pi\)
−0.659633 + 0.751588i \(0.729288\pi\)
\(444\) 29.3875 + 1.57929i 1.39467 + 0.0749499i
\(445\) 10.6292 + 6.13680i 0.503875 + 0.290912i
\(446\) 27.1271 4.78324i 1.28450 0.226493i
\(447\) −8.90726 3.79488i −0.421299 0.179492i
\(448\) 5.42405 9.39473i 0.256262 0.443859i
\(449\) −11.0074 19.0653i −0.519470 0.899749i −0.999744 0.0226300i \(-0.992796\pi\)
0.480274 0.877119i \(-0.340537\pi\)
\(450\) 17.8118 + 8.74605i 0.839655 + 0.412293i
\(451\) 0.0644906 + 0.177187i 0.00303675 + 0.00834339i
\(452\) 30.0290 + 10.9297i 1.41244 + 0.514088i
\(453\) −31.7583 + 9.66335i −1.49213 + 0.454024i
\(454\) −0.232594 + 1.31911i −0.0109162 + 0.0619087i
\(455\) 1.47963 0.0693660
\(456\) −6.30935 + 51.3737i −0.295462 + 2.40579i
\(457\) 6.66744 0.311890 0.155945 0.987766i \(-0.450158\pi\)
0.155945 + 0.987766i \(0.450158\pi\)
\(458\) −1.72254 + 9.76899i −0.0804889 + 0.456475i
\(459\) 17.2445 + 19.9979i 0.804903 + 0.933424i
\(460\) 4.22651 + 1.53832i 0.197062 + 0.0717247i
\(461\) 5.50703 + 15.1304i 0.256488 + 0.704695i 0.999377 + 0.0352807i \(0.0112325\pi\)
−0.742890 + 0.669414i \(0.766545\pi\)
\(462\) 1.97220 + 16.2407i 0.0917551 + 0.755584i
\(463\) −19.1725 33.2078i −0.891023 1.54330i −0.838651 0.544669i \(-0.816655\pi\)
−0.0523713 0.998628i \(-0.516678\pi\)
\(464\) −4.93994 + 8.55622i −0.229331 + 0.397212i
\(465\) −5.50748 + 12.9270i −0.255403 + 0.599477i
\(466\) 46.7338 8.24043i 2.16490 0.381731i
\(467\) −18.0289 10.4090i −0.834277 0.481670i 0.0210381 0.999779i \(-0.493303\pi\)
−0.855315 + 0.518109i \(0.826636\pi\)
\(468\) 3.57204 + 2.60977i 0.165118 + 0.120637i
\(469\) 17.5227 + 20.8827i 0.809121 + 0.964273i
\(470\) −30.8675 + 11.2349i −1.42381 + 0.518225i
\(471\) −14.9756 19.9284i −0.690040 0.918250i
\(472\) −14.1802 11.8986i −0.652696 0.547677i
\(473\) 11.5219 + 2.03162i 0.529777 + 0.0934140i
\(474\) −3.56716 + 5.47700i −0.163845 + 0.251567i
\(475\) −8.04828 7.75193i −0.369280 0.355683i
\(476\) 70.8528i 3.24753i
\(477\) −8.93741 + 2.20314i −0.409216 + 0.100875i
\(478\) −27.3386 + 32.5809i −1.25044 + 1.49021i
\(479\) 2.82297 7.75604i 0.128985 0.354383i −0.858343 0.513076i \(-0.828506\pi\)
0.987328 + 0.158693i \(0.0507281\pi\)
\(480\) 4.82970 20.7936i 0.220445 0.949095i
\(481\) −0.884965 + 0.742574i −0.0403509 + 0.0338584i
\(482\) −26.7070 + 15.4193i −1.21647 + 0.702331i
\(483\) 1.45275 + 2.86057i 0.0661024 + 0.130161i
\(484\) 7.68645 + 43.5920i 0.349384 + 1.98146i
\(485\) 5.03366 + 28.5473i 0.228567 + 1.29627i
\(486\) 10.6677 38.7799i 0.483896 1.75909i
\(487\) −22.5542 + 13.0217i −1.02203 + 0.590069i −0.914691 0.404154i \(-0.867566\pi\)
−0.107338 + 0.994223i \(0.534233\pi\)
\(488\) 36.2062 30.3806i 1.63898 1.37527i
\(489\) −3.21172 0.745979i −0.145239 0.0337344i
\(490\) 2.70325 7.42711i 0.122120 0.335523i
\(491\) 24.6341 29.3577i 1.11172 1.32490i 0.171169 0.985242i \(-0.445245\pi\)
0.940550 0.339654i \(-0.110310\pi\)
\(492\) 0.849494 0.908548i 0.0382982 0.0409605i
\(493\) 5.99538i 0.270018i
\(494\) −2.09689 2.87824i −0.0943437 0.129498i
\(495\) 2.31511 + 5.23725i 0.104057 + 0.235397i
\(496\) −42.8640 7.55807i −1.92465 0.339368i
\(497\) −31.6037 26.5187i −1.41762 1.18953i
\(498\) 39.0363 29.3347i 1.74926 1.31452i
\(499\) −22.9331 + 8.34698i −1.02663 + 0.373662i −0.799796 0.600272i \(-0.795059\pi\)
−0.226832 + 0.973934i \(0.572837\pi\)
\(500\) 35.3418 + 42.1187i 1.58053 + 1.88360i
\(501\) 1.22737 22.8390i 0.0548351 1.02037i
\(502\) 20.0851 + 11.5962i 0.896443 + 0.517562i
\(503\) 39.5690 6.97708i 1.76429 0.311093i 0.804953 0.593339i \(-0.202191\pi\)
0.959342 + 0.282246i \(0.0910794\pi\)
\(504\) 51.1377 34.2954i 2.27785 1.52764i
\(505\) 12.0517 20.8742i 0.536295 0.928891i
\(506\) −0.976067 1.69060i −0.0433915 0.0751562i
\(507\) 22.1801 2.69346i 0.985051 0.119621i
\(508\) 4.96381 + 13.6380i 0.220233 + 0.605086i
\(509\) −33.9250 12.3477i −1.50370 0.547302i −0.546685 0.837338i \(-0.684111\pi\)
−0.957016 + 0.290036i \(0.906333\pi\)
\(510\) 10.3192 + 33.9138i 0.456943 + 1.50173i
\(511\) 0.227547 1.29048i 0.0100661 0.0570876i
\(512\) −48.7022 −2.15236
\(513\) −12.3868 + 18.9623i −0.546889 + 0.837205i
\(514\) 32.5912 1.43754
\(515\) 2.01066 11.4030i 0.0886001 0.502476i
\(516\) −22.4662 73.8344i −0.989020 3.25038i
\(517\) 9.37231 + 3.41124i 0.412194 + 0.150026i
\(518\) 9.63875 + 26.4823i 0.423502 + 1.16356i
\(519\) 23.5572 2.86070i 1.03405 0.125571i
\(520\) 1.69418 + 2.93441i 0.0742949 + 0.128683i
\(521\) 8.36859 14.4948i 0.366635 0.635030i −0.622402 0.782697i \(-0.713843\pi\)
0.989037 + 0.147668i \(0.0471766\pi\)
\(522\) −7.58415 + 5.08630i −0.331949 + 0.222621i
\(523\) −3.12791 + 0.551534i −0.136774 + 0.0241169i −0.241616 0.970372i \(-0.577677\pi\)
0.104842 + 0.994489i \(0.466566\pi\)
\(524\) 14.7872 + 8.53740i 0.645982 + 0.372958i
\(525\) −0.713340 + 13.2739i −0.0311327 + 0.579318i
\(526\) −0.658506 0.784777i −0.0287122 0.0342179i
\(527\) 24.8194 9.03354i 1.08115 0.393507i
\(528\) −14.1797 + 10.6556i −0.617092 + 0.463728i
\(529\) 17.3258 + 14.5380i 0.753294 + 0.632089i
\(530\) −12.1694 2.14580i −0.528607 0.0932077i
\(531\) −3.27497 7.40862i −0.142122 0.321507i
\(532\) −58.3967 + 16.8272i −2.53182 + 0.729553i
\(533\) 0.0488250i 0.00211485i
\(534\) −23.9994 + 25.6678i −1.03856 + 1.11075i
\(535\) 13.6859 16.3102i 0.591692 0.705151i
\(536\) −21.3512 + 58.6620i −0.922233 + 2.53381i
\(537\) 32.2915 + 7.50029i 1.39348 + 0.323662i
\(538\) −38.1676 + 32.0264i −1.64552 + 1.38076i
\(539\) −2.07831 + 1.19991i −0.0895190 + 0.0516838i
\(540\) 23.8878 29.2597i 1.02797 1.25914i
\(541\) 0.328535 + 1.86322i 0.0141248 + 0.0801059i 0.991055 0.133452i \(-0.0426061\pi\)
−0.976931 + 0.213557i \(0.931495\pi\)
\(542\) 0.299439 + 1.69820i 0.0128620 + 0.0729440i
\(543\) 4.81964 + 9.49022i 0.206830 + 0.407264i
\(544\) −34.7503 + 20.0631i −1.48991 + 0.860198i
\(545\) −1.55044 + 1.30097i −0.0664134 + 0.0557274i
\(546\) −0.958429 + 4.12639i −0.0410170 + 0.176593i
\(547\) −9.41432 + 25.8656i −0.402527 + 1.10593i 0.558506 + 0.829501i \(0.311375\pi\)
−0.961033 + 0.276434i \(0.910847\pi\)
\(548\) −47.3077 + 56.3791i −2.02089 + 2.40840i
\(549\) 20.0811 4.95013i 0.857039 0.211266i
\(550\) 8.08824i 0.344884i
\(551\) 4.94138 1.42388i 0.210510 0.0606592i
\(552\) −4.00971 + 6.15649i −0.170665 + 0.262038i
\(553\) −4.31211 0.760341i −0.183370 0.0323330i
\(554\) −37.2897 31.2898i −1.58429 1.32938i
\(555\) 5.92575 + 7.88552i 0.251534 + 0.334722i
\(556\) 31.9740 11.6376i 1.35600 0.493544i
\(557\) −4.41474 5.26128i −0.187058 0.222928i 0.664363 0.747410i \(-0.268703\pi\)
−0.851421 + 0.524483i \(0.824259\pi\)
\(558\) −32.4835 23.7328i −1.37514 1.00469i
\(559\) 2.62362 + 1.51475i 0.110967 + 0.0640669i
\(560\) 38.5391 6.79549i 1.62858 0.287162i
\(561\) 4.21875 9.90215i 0.178116 0.418069i
\(562\) 16.7184 28.9571i 0.705222 1.22148i
\(563\) 8.11401 + 14.0539i 0.341965 + 0.592301i 0.984798 0.173706i \(-0.0555742\pi\)
−0.642833 + 0.766007i \(0.722241\pi\)
\(564\) −7.93128 65.3125i −0.333967 2.75015i
\(565\) 3.66324 + 10.0647i 0.154114 + 0.423424i
\(566\) 32.0455 + 11.6636i 1.34697 + 0.490258i
\(567\) 26.7011 3.60798i 1.12134 0.151521i
\(568\) 16.4056 93.0411i 0.688366 3.90392i
\(569\) 23.4699 0.983911 0.491956 0.870620i \(-0.336282\pi\)
0.491956 + 0.870620i \(0.336282\pi\)
\(570\) −25.5009 + 16.5595i −1.06812 + 0.693600i
\(571\) −12.3766 −0.517944 −0.258972 0.965885i \(-0.583384\pi\)
−0.258972 + 0.965885i \(0.583384\pi\)
\(572\) 0.313121 1.77580i 0.0130922 0.0742498i
\(573\) −43.7238 + 13.3042i −1.82659 + 0.555791i
\(574\) 1.11925 + 0.407372i 0.0467164 + 0.0170034i
\(575\) −0.542503 1.49051i −0.0226239 0.0621587i
\(576\) 9.75787 + 4.79137i 0.406578 + 0.199641i
\(577\) −7.38649 12.7938i −0.307504 0.532612i 0.670312 0.742079i \(-0.266160\pi\)
−0.977816 + 0.209467i \(0.932827\pi\)
\(578\) 11.3855 19.7203i 0.473576 0.820258i
\(579\) −12.4281 5.29492i −0.516494 0.220049i
\(580\) −8.44571 + 1.48921i −0.350689 + 0.0618360i
\(581\) 28.3288 + 16.3556i 1.17528 + 0.678546i
\(582\) −82.8735 4.45364i −3.43522 0.184610i
\(583\) 2.41175 + 2.87421i 0.0998843 + 0.119037i
\(584\) 2.81984 1.02634i 0.116686 0.0424702i
\(585\) 0.0994980 + 1.47937i 0.00411374 + 0.0611646i
\(586\) −8.68702 7.28927i −0.358857 0.301117i
\(587\) −16.0113 2.82322i −0.660857 0.116527i −0.166847 0.985983i \(-0.553358\pi\)
−0.494010 + 0.869456i \(0.664470\pi\)
\(588\) 13.2651 + 8.63951i 0.547042 + 0.356287i
\(589\) 13.3399 + 18.3107i 0.549662 + 0.754479i
\(590\) 10.8741i 0.447679i
\(591\) 30.6008 + 28.6119i 1.25875 + 1.17693i
\(592\) −19.6398 + 23.4058i −0.807192 + 0.961974i
\(593\) −1.06316 + 2.92101i −0.0436587 + 0.119951i −0.959606 0.281347i \(-0.909219\pi\)
0.915947 + 0.401299i \(0.131441\pi\)
\(594\) −16.1053 + 3.06397i −0.660808 + 0.125716i
\(595\) −18.1915 + 15.2645i −0.745781 + 0.625784i
\(596\) 22.5450 13.0164i 0.923480 0.533171i
\(597\) 6.32846 3.21393i 0.259007 0.131537i
\(598\) −0.0877763 0.497804i −0.00358944 0.0203567i
\(599\) −1.76308 9.99893i −0.0720375 0.408545i −0.999408 0.0344010i \(-0.989048\pi\)
0.927371 0.374144i \(-0.122063\pi\)
\(600\) −27.1417 + 13.7840i −1.10805 + 0.562728i
\(601\) 8.56591 4.94553i 0.349411 0.201732i −0.315015 0.949087i \(-0.602010\pi\)
0.664426 + 0.747354i \(0.268676\pi\)
\(602\) 56.6136 47.5045i 2.30740 1.93614i
\(603\) −19.7008 + 18.9239i −0.802280 + 0.770643i
\(604\) 30.5276 83.8739i 1.24215 3.41278i
\(605\) −9.53634 + 11.3650i −0.387707 + 0.462052i
\(606\) 50.4076 + 47.1313i 2.04767 + 1.91458i
\(607\) 16.5025i 0.669817i −0.942251 0.334908i \(-0.891295\pi\)
0.942251 0.334908i \(-0.108705\pi\)
\(608\) −24.7890 23.8762i −1.00533 0.968309i
\(609\) −5.12606 3.33860i −0.207718 0.135287i
\(610\) 27.3430 + 4.82130i 1.10708 + 0.195209i
\(611\) 1.97839 + 1.66007i 0.0800371 + 0.0671591i
\(612\) −70.8407 + 4.76452i −2.86357 + 0.192594i
\(613\) −13.2779 + 4.83276i −0.536289 + 0.195193i −0.595944 0.803026i \(-0.703222\pi\)
0.0596550 + 0.998219i \(0.481000\pi\)
\(614\) −38.9885 46.4647i −1.57345 1.87516i
\(615\) 0.416286 + 0.0223713i 0.0167863 + 0.000902098i
\(616\) −21.7352 12.5488i −0.875736 0.505606i
\(617\) −10.3704 + 1.82858i −0.417496 + 0.0736158i −0.378450 0.925622i \(-0.623543\pi\)
−0.0390458 + 0.999237i \(0.512432\pi\)
\(618\) 30.4983 + 12.9936i 1.22682 + 0.522681i
\(619\) −7.21587 + 12.4983i −0.290030 + 0.502347i −0.973817 0.227335i \(-0.926999\pi\)
0.683786 + 0.729682i \(0.260332\pi\)
\(620\) −18.8905 32.7194i −0.758663 1.31404i
\(621\) −2.76239 + 1.64486i −0.110851 + 0.0660061i
\(622\) 8.69001 + 23.8756i 0.348438 + 0.957325i
\(623\) −22.1206 8.05124i −0.886243 0.322566i
\(624\) −4.39393 + 1.33698i −0.175898 + 0.0535220i
\(625\) −0.974188 + 5.52490i −0.0389675 + 0.220996i
\(626\) −14.9555 −0.597742
\(627\) 9.16327 + 1.12537i 0.365946 + 0.0449428i
\(628\) 67.0263 2.67464
\(629\) 3.21963 18.2594i 0.128375 0.728051i
\(630\) 34.7428 + 10.0623i 1.38418 + 0.400893i
\(631\) 6.27530 + 2.28402i 0.249816 + 0.0909254i 0.463893 0.885891i \(-0.346452\pi\)
−0.214077 + 0.976817i \(0.568674\pi\)
\(632\) −3.42948 9.42243i −0.136418 0.374804i
\(633\) 2.08433 + 17.1640i 0.0828446 + 0.682208i
\(634\) 6.89901 + 11.9494i 0.273995 + 0.474573i
\(635\) −2.43216 + 4.21262i −0.0965173 + 0.167173i
\(636\) 9.70093 22.7698i 0.384667 0.902881i
\(637\) −0.611967 + 0.107906i −0.0242470 + 0.00427540i
\(638\) 3.22351 + 1.86110i 0.127620 + 0.0736815i
\(639\) 24.3890 33.3816i 0.964812 1.32056i
\(640\) −6.46396 7.70344i −0.255510 0.304505i
\(641\) −24.7334 + 9.00224i −0.976912 + 0.355567i −0.780639 0.624982i \(-0.785106\pi\)
−0.196273 + 0.980549i \(0.562884\pi\)
\(642\) 36.6209 + 48.7322i 1.44531 + 1.92331i
\(643\) −3.88657 3.26122i −0.153272 0.128610i 0.562927 0.826506i \(-0.309675\pi\)
−0.716199 + 0.697896i \(0.754120\pi\)
\(644\) −8.49545 1.49798i −0.334768 0.0590286i
\(645\) 14.1170 21.6751i 0.555855 0.853456i
\(646\) 55.4739 + 13.7546i 2.18259 + 0.541167i
\(647\) 15.3275i 0.602585i 0.953532 + 0.301293i \(0.0974181\pi\)
−0.953532 + 0.301293i \(0.902582\pi\)
\(648\) 37.7283 + 48.8227i 1.48211 + 1.91794i
\(649\) −2.12229 + 2.52925i −0.0833073 + 0.0992818i
\(650\) 0.716314 1.96806i 0.0280961 0.0771935i
\(651\) 6.09730 26.2511i 0.238972 1.02886i
\(652\) 6.79137 5.69864i 0.265971 0.223176i
\(653\) 6.35742 3.67046i 0.248785 0.143636i −0.370423 0.928863i \(-0.620787\pi\)
0.619208 + 0.785227i \(0.287454\pi\)
\(654\) −2.62386 5.16657i −0.102601 0.202029i
\(655\) 0.993767 + 5.63593i 0.0388297 + 0.220214i
\(656\) 0.224239 + 1.27172i 0.00875506 + 0.0496524i
\(657\) 1.30556 + 0.140729i 0.0509349 + 0.00549037i
\(658\) 54.5615 31.5011i 2.12703 1.22804i
\(659\) −17.2736 + 14.4942i −0.672882 + 0.564615i −0.913917 0.405901i \(-0.866958\pi\)
0.241035 + 0.970517i \(0.422513\pi\)
\(660\) −14.9971 3.48335i −0.583762 0.135589i
\(661\) −4.78873 + 13.1569i −0.186260 + 0.511746i −0.997316 0.0732238i \(-0.976671\pi\)
0.811055 + 0.584969i \(0.198893\pi\)
\(662\) −8.54630 + 10.1851i −0.332161 + 0.395854i
\(663\) 1.90348 2.03580i 0.0739249 0.0790639i
\(664\) 74.9093i 2.90705i
\(665\) −16.9014 11.3682i −0.655408 0.440839i
\(666\) −25.8296 + 11.4179i −1.00088 + 0.442435i
\(667\) 0.718863 + 0.126755i 0.0278345 + 0.00490797i
\(668\) 47.1101 + 39.5301i 1.82274 + 1.52946i
\(669\) −14.7826 + 11.1088i −0.571530 + 0.429489i
\(670\) −34.4605 + 12.5426i −1.33133 + 0.484563i
\(671\) −5.41884 6.45793i −0.209192 0.249305i
\(672\) −2.19712 + 40.8840i −0.0847556 + 1.57713i
\(673\) −29.2421 16.8829i −1.12720 0.650789i −0.183970 0.982932i \(-0.558895\pi\)
−0.943229 + 0.332143i \(0.892228\pi\)
\(674\) 80.9483 14.2734i 3.11801 0.549790i
\(675\) −13.3196 + 0.179386i −0.512670 + 0.00690458i
\(676\) −30.0378 + 52.0270i −1.15530 + 2.00104i
\(677\) 20.9506 + 36.2875i 0.805197 + 1.39464i 0.916158 + 0.400817i \(0.131274\pi\)
−0.110961 + 0.993825i \(0.535393\pi\)
\(678\) −30.4413 + 3.69666i −1.16909 + 0.141970i
\(679\) −19.0154 52.2443i −0.729743 2.00495i
\(680\) −51.1023 18.5997i −1.95968 0.713266i
\(681\) −0.261751 0.860237i −0.0100303 0.0329643i
\(682\) −2.84747 + 16.1488i −0.109035 + 0.618369i
\(683\) −37.5667 −1.43745 −0.718725 0.695295i \(-0.755274\pi\)
−0.718725 + 0.695295i \(0.755274\pi\)
\(684\) −20.7513 57.2552i −0.793445 2.18921i
\(685\) −24.6674 −0.942492
\(686\) 6.75681 38.3198i 0.257976 1.46305i
\(687\) −1.93847 6.37071i −0.0739573 0.243058i
\(688\) 75.2929 + 27.4044i 2.87051 + 1.04478i
\(689\) 0.332287 + 0.912951i 0.0126591 + 0.0347807i
\(690\) −4.28453 + 0.520296i −0.163109 + 0.0198073i
\(691\) −2.67694 4.63659i −0.101835 0.176384i 0.810605 0.585593i \(-0.199138\pi\)
−0.912441 + 0.409209i \(0.865805\pi\)
\(692\) −31.9029 + 55.2574i −1.21277 + 2.10057i
\(693\) −6.11710 9.12117i −0.232370 0.346485i
\(694\) −30.9659 + 5.46013i −1.17545 + 0.207264i
\(695\) 9.87645 + 5.70217i 0.374635 + 0.216296i
\(696\) 0.751761 13.9888i 0.0284954 0.530244i
\(697\) −0.503702 0.600288i −0.0190791 0.0227375i
\(698\) 36.8784 13.4226i 1.39587 0.508055i
\(699\) −25.4671 + 19.1379i −0.963256 + 0.723861i
\(700\) −27.3800 22.9746i −1.03487 0.868357i
\(701\) 23.4648 + 4.13747i 0.886251 + 0.156270i 0.598202 0.801345i \(-0.295882\pi\)
0.288050 + 0.957616i \(0.406993\pi\)
\(702\) −4.19014 0.680785i −0.158147 0.0256946i
\(703\) 15.8140 1.68292i 0.596437 0.0634726i
\(704\) 4.43100i 0.167000i
\(705\) 15.0603 16.1073i 0.567205 0.606635i
\(706\) −22.3731 + 26.6632i −0.842023 + 1.00348i
\(707\) −15.8114 + 43.4415i −0.594650 + 1.63379i
\(708\) 21.2150 + 4.92756i 0.797307 + 0.185189i
\(709\) 33.4374 28.0573i 1.25577 1.05371i 0.259647 0.965704i \(-0.416394\pi\)
0.996120 0.0880094i \(-0.0280505\pi\)
\(710\) 48.0639 27.7497i 1.80381 1.04143i
\(711\) 0.470242 4.36251i 0.0176355 0.163607i
\(712\) −9.36095 53.0886i −0.350817 1.98958i
\(713\) 0.558412 + 3.16691i 0.0209127 + 0.118602i
\(714\) −30.7862 60.6203i −1.15214 2.26866i
\(715\) 0.523397 0.302183i 0.0195739 0.0113010i
\(716\) −68.2824 + 57.2957i −2.55183 + 2.14124i
\(717\) 6.45961 27.8110i 0.241238 1.03862i
\(718\) 15.4475 42.4417i 0.576497 1.58391i
\(719\) 9.49121 11.3112i 0.353962 0.421836i −0.559455 0.828861i \(-0.688989\pi\)
0.913417 + 0.407025i \(0.133434\pi\)
\(720\) 9.38591 + 38.0756i 0.349792 + 1.41899i
\(721\) 22.2079i 0.827065i
\(722\) 1.83833 + 48.9882i 0.0684154 + 1.82315i
\(723\) 11.2982 17.3472i 0.420184 0.645148i
\(724\) −28.1845 4.96968i −1.04747 0.184697i
\(725\) 2.31683 + 1.94405i 0.0860447 + 0.0722001i
\(726\) −25.5175 33.9567i −0.947044 1.26025i
\(727\) −29.6234 + 10.7820i −1.09867 + 0.399884i −0.826826 0.562457i \(-0.809856\pi\)
−0.271845 + 0.962341i \(0.587634\pi\)
\(728\) −4.17732 4.97834i −0.154822 0.184509i
\(729\) 5.40289 + 26.4539i 0.200107 + 0.979774i
\(730\) 1.52663 + 0.881402i 0.0565033 + 0.0326222i
\(731\) −47.8834 + 8.44313i −1.77103 + 0.312280i
\(732\) −21.7966 + 51.1604i −0.805625 + 1.89094i
\(733\) 0.100159 0.173480i 0.00369944 0.00640762i −0.864170 0.503200i \(-0.832156\pi\)
0.867869 + 0.496793i \(0.165489\pi\)
\(734\) 0.674424 + 1.16814i 0.0248934 + 0.0431167i
\(735\) 0.639617 + 5.26711i 0.0235926 + 0.194280i
\(736\) −1.67093 4.59084i −0.0615912 0.169221i
\(737\) 10.4633 + 3.80831i 0.385419 + 0.140281i
\(738\) −0.332039 + 1.14645i −0.0122225 + 0.0422014i
\(739\) 2.98492 16.9283i 0.109802 0.622719i −0.879391 0.476100i \(-0.842050\pi\)
0.989193 0.146619i \(-0.0468390\pi\)
\(740\) −26.5219 −0.974963
\(741\) 2.12997 + 1.08535i 0.0782464 + 0.0398713i
\(742\) 23.7006 0.870075
\(743\) −7.10350 + 40.2860i −0.260602 + 1.47795i 0.520670 + 0.853758i \(0.325682\pi\)
−0.781272 + 0.624191i \(0.785429\pi\)
\(744\) 59.0430 17.9655i 2.16462 0.658647i
\(745\) 8.19907 + 2.98422i 0.300391 + 0.109333i
\(746\) −2.10339 5.77901i −0.0770104 0.211584i
\(747\) −14.4479 + 29.4238i −0.528620 + 1.07656i
\(748\) 14.4702 + 25.0632i 0.529084 + 0.916400i
\(749\) −20.4181 + 35.3651i −0.746059 + 1.29221i
\(750\) −48.5387 20.6796i −1.77238 0.755112i
\(751\) 9.89135 1.74411i 0.360941 0.0636436i 0.00976278 0.999952i \(-0.496892\pi\)
0.351178 + 0.936309i \(0.385781\pi\)
\(752\) 59.1544 + 34.1528i 2.15714 + 1.24542i
\(753\) −15.5466 0.835478i −0.566550 0.0304465i
\(754\) 0.619532 + 0.738329i 0.0225620 + 0.0268884i
\(755\) 28.1116 10.2318i 1.02309 0.372373i
\(756\) −35.3748 + 63.2222i −1.28657 + 2.29937i
\(757\) 30.7487 + 25.8012i 1.11758 + 0.937760i 0.998480 0.0551222i \(-0.0175548\pi\)
0.119099 + 0.992882i \(0.461999\pi\)
\(758\) −47.4964 8.37489i −1.72515 0.304190i
\(759\) 1.09810 + 0.715193i 0.0398586 + 0.0259599i
\(760\) 3.19327 46.5357i 0.115832 1.68803i
\(761\) 13.1199i 0.475596i −0.971315 0.237798i \(-0.923574\pi\)
0.971315 0.237798i \(-0.0764257\pi\)
\(762\) −10.1728 9.51155i −0.368520 0.344567i
\(763\) 2.49521 2.97367i 0.0903326 0.107654i
\(764\) 42.0294 115.475i 1.52057 4.17774i