Properties

Label 570.2.n.a.179.19
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.19
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.71127 + 0.267475i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.56298 - 1.59909i) q^{5} +(-1.34827 - 1.08728i) q^{6} -1.36390i q^{7} -1.00000i q^{8} +(2.85691 + 0.915446i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.71127 + 0.267475i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.56298 - 1.59909i) q^{5} +(-1.34827 - 1.08728i) q^{6} -1.36390i q^{7} -1.00000i q^{8} +(2.85691 + 0.915446i) q^{9} +(0.554035 + 2.16634i) q^{10} -5.06802i q^{11} +(0.623997 + 1.61574i) q^{12} +(1.22067 + 2.11426i) q^{13} +(-0.681949 + 1.18117i) q^{14} +(-2.24697 - 3.15454i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.98489 + 3.43793i) q^{17} +(-2.01644 - 2.22126i) q^{18} +(1.02155 - 4.23750i) q^{19} +(0.603364 - 2.15313i) q^{20} +(0.364808 - 2.33400i) q^{21} +(-2.53401 + 4.38904i) q^{22} +(-3.14511 - 5.44749i) q^{23} +(0.267475 - 1.71127i) q^{24} +(-0.114186 + 4.99870i) q^{25} -2.44133i q^{26} +(4.64410 + 2.33073i) q^{27} +(1.18117 - 0.681949i) q^{28} +(-2.36769 - 4.10097i) q^{29} +(0.368662 + 3.85540i) q^{30} -8.32731i q^{31} +(0.866025 - 0.500000i) q^{32} +(1.35557 - 8.67278i) q^{33} +(3.43793 - 1.98489i) q^{34} +(-2.18100 + 2.13174i) q^{35} +(0.635658 + 2.93188i) q^{36} -3.47648 q^{37} +(-3.00344 + 3.15901i) q^{38} +(1.52338 + 3.94457i) q^{39} +(-1.59909 + 1.56298i) q^{40} +(2.09732 - 3.63266i) q^{41} +(-1.48293 + 1.83890i) q^{42} +(8.08295 + 4.66669i) q^{43} +(4.38904 - 2.53401i) q^{44} +(-3.00142 - 5.99929i) q^{45} +6.29022i q^{46} +(4.62919 + 8.01800i) q^{47} +(-1.08728 + 1.34827i) q^{48} +5.13978 q^{49} +(2.59824 - 4.27190i) q^{50} +(-4.31625 + 5.35234i) q^{51} +(-1.22067 + 2.11426i) q^{52} +(6.37085 - 3.67821i) q^{53} +(-2.85655 - 4.34052i) q^{54} +(-8.10423 + 7.92122i) q^{55} -1.36390 q^{56} +(2.88158 - 6.97829i) q^{57} +4.73539i q^{58} +(0.294619 - 0.510294i) q^{59} +(1.60843 - 3.52320i) q^{60} +(3.56020 + 6.16645i) q^{61} +(-4.16366 + 7.21167i) q^{62} +(1.24857 - 3.89654i) q^{63} -1.00000 q^{64} +(1.47301 - 5.25650i) q^{65} +(-5.51035 + 6.83306i) q^{66} +(-5.50663 - 9.53776i) q^{67} -3.96978 q^{68} +(-3.92508 - 10.1634i) q^{69} +(2.95467 - 0.755647i) q^{70} +(-5.35146 + 9.26899i) q^{71} +(0.915446 - 2.85691i) q^{72} +(-6.55246 - 3.78306i) q^{73} +(3.01072 + 1.73824i) q^{74} +(-1.53243 + 8.52359i) q^{75} +(4.18056 - 1.23406i) q^{76} -6.91226 q^{77} +(0.652996 - 4.17779i) q^{78} +(-6.44300 - 3.71987i) q^{79} +(2.16634 - 0.554035i) q^{80} +(7.32392 + 5.23070i) q^{81} +(-3.63266 + 2.09732i) q^{82} +10.1667 q^{83} +(2.20371 - 0.851067i) q^{84} +(8.59992 - 2.19940i) q^{85} +(-4.66669 - 8.08295i) q^{86} +(-2.95487 - 7.65117i) q^{87} -5.06802 q^{88} +(3.62450 + 6.27782i) q^{89} +(-0.400340 + 6.69625i) q^{90} +(2.88363 - 1.66486i) q^{91} +(3.14511 - 5.44749i) q^{92} +(2.22735 - 14.2503i) q^{93} -9.25839i q^{94} +(-8.37282 + 4.98958i) q^{95} +(1.61574 - 0.623997i) q^{96} +(-5.42307 + 9.39303i) q^{97} +(-4.45118 - 2.56989i) q^{98} +(4.63950 - 14.4789i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.71127 + 0.267475i 0.988004 + 0.154427i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.56298 1.59909i −0.698986 0.715135i
\(6\) −1.34827 1.08728i −0.550428 0.443879i
\(7\) 1.36390i 0.515505i −0.966211 0.257752i \(-0.917018\pi\)
0.966211 0.257752i \(-0.0829819\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 2.85691 + 0.915446i 0.952305 + 0.305149i
\(10\) 0.554035 + 2.16634i 0.175201 + 0.685058i
\(11\) 5.06802i 1.52807i −0.645177 0.764033i \(-0.723216\pi\)
0.645177 0.764033i \(-0.276784\pi\)
\(12\) 0.623997 + 1.61574i 0.180132 + 0.466425i
\(13\) 1.22067 + 2.11426i 0.338552 + 0.586390i 0.984161 0.177279i \(-0.0567295\pi\)
−0.645608 + 0.763669i \(0.723396\pi\)
\(14\) −0.681949 + 1.18117i −0.182258 + 0.315681i
\(15\) −2.24697 3.15454i −0.580165 0.814499i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.98489 + 3.43793i −0.481407 + 0.833821i −0.999772 0.0213379i \(-0.993207\pi\)
0.518365 + 0.855159i \(0.326541\pi\)
\(18\) −2.01644 2.22126i −0.475279 0.523555i
\(19\) 1.02155 4.23750i 0.234359 0.972150i
\(20\) 0.603364 2.15313i 0.134916 0.481454i
\(21\) 0.364808 2.33400i 0.0796077 0.509321i
\(22\) −2.53401 + 4.38904i −0.540253 + 0.935746i
\(23\) −3.14511 5.44749i −0.655801 1.13588i −0.981692 0.190473i \(-0.938998\pi\)
0.325892 0.945407i \(-0.394336\pi\)
\(24\) 0.267475 1.71127i 0.0545981 0.349312i
\(25\) −0.114186 + 4.99870i −0.0228372 + 0.999739i
\(26\) 2.44133i 0.478785i
\(27\) 4.64410 + 2.33073i 0.893758 + 0.448549i
\(28\) 1.18117 0.681949i 0.223220 0.128876i
\(29\) −2.36769 4.10097i −0.439670 0.761530i 0.557994 0.829845i \(-0.311571\pi\)
−0.997664 + 0.0683147i \(0.978238\pi\)
\(30\) 0.368662 + 3.85540i 0.0673082 + 0.703896i
\(31\) 8.32731i 1.49563i −0.663907 0.747815i \(-0.731103\pi\)
0.663907 0.747815i \(-0.268897\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 1.35557 8.67278i 0.235974 1.50974i
\(34\) 3.43793 1.98489i 0.589601 0.340406i
\(35\) −2.18100 + 2.13174i −0.368656 + 0.360331i
\(36\) 0.635658 + 2.93188i 0.105943 + 0.488647i
\(37\) −3.47648 −0.571530 −0.285765 0.958300i \(-0.592248\pi\)
−0.285765 + 0.958300i \(0.592248\pi\)
\(38\) −3.00344 + 3.15901i −0.487222 + 0.512459i
\(39\) 1.52338 + 3.94457i 0.243937 + 0.631637i
\(40\) −1.59909 + 1.56298i −0.252839 + 0.247129i
\(41\) 2.09732 3.63266i 0.327546 0.567327i −0.654478 0.756081i \(-0.727112\pi\)
0.982024 + 0.188754i \(0.0604449\pi\)
\(42\) −1.48293 + 1.83890i −0.228822 + 0.283748i
\(43\) 8.08295 + 4.66669i 1.23264 + 0.711664i 0.967579 0.252568i \(-0.0812753\pi\)
0.265059 + 0.964232i \(0.414609\pi\)
\(44\) 4.38904 2.53401i 0.661672 0.382017i
\(45\) −3.00142 5.99929i −0.447425 0.894321i
\(46\) 6.29022i 0.927442i
\(47\) 4.62919 + 8.01800i 0.675237 + 1.16955i 0.976400 + 0.215972i \(0.0692921\pi\)
−0.301162 + 0.953573i \(0.597375\pi\)
\(48\) −1.08728 + 1.34827i −0.156935 + 0.194606i
\(49\) 5.13978 0.734255
\(50\) 2.59824 4.27190i 0.367446 0.604139i
\(51\) −4.31625 + 5.35234i −0.604397 + 0.749477i
\(52\) −1.22067 + 2.11426i −0.169276 + 0.293195i
\(53\) 6.37085 3.67821i 0.875104 0.505242i 0.00606311 0.999982i \(-0.498070\pi\)
0.869041 + 0.494740i \(0.164737\pi\)
\(54\) −2.85655 4.34052i −0.388727 0.590670i
\(55\) −8.10423 + 7.92122i −1.09277 + 1.06810i
\(56\) −1.36390 −0.182258
\(57\) 2.88158 6.97829i 0.381674 0.924297i
\(58\) 4.73539i 0.621787i
\(59\) 0.294619 0.510294i 0.0383561 0.0664347i −0.846210 0.532849i \(-0.821121\pi\)
0.884566 + 0.466415i \(0.154455\pi\)
\(60\) 1.60843 3.52320i 0.207647 0.454844i
\(61\) 3.56020 + 6.16645i 0.455837 + 0.789534i 0.998736 0.0502647i \(-0.0160065\pi\)
−0.542898 + 0.839798i \(0.682673\pi\)
\(62\) −4.16366 + 7.21167i −0.528785 + 0.915882i
\(63\) 1.24857 3.89654i 0.157306 0.490918i
\(64\) −1.00000 −0.125000
\(65\) 1.47301 5.25650i 0.182705 0.651989i
\(66\) −5.51035 + 6.83306i −0.678277 + 0.841091i
\(67\) −5.50663 9.53776i −0.672742 1.16522i −0.977124 0.212673i \(-0.931783\pi\)
0.304382 0.952550i \(-0.401550\pi\)
\(68\) −3.96978 −0.481407
\(69\) −3.92508 10.1634i −0.472524 1.22353i
\(70\) 2.95467 0.755647i 0.353151 0.0903170i
\(71\) −5.35146 + 9.26899i −0.635101 + 1.10003i 0.351393 + 0.936228i \(0.385708\pi\)
−0.986494 + 0.163799i \(0.947625\pi\)
\(72\) 0.915446 2.85691i 0.107886 0.336691i
\(73\) −6.55246 3.78306i −0.766908 0.442774i 0.0648628 0.997894i \(-0.479339\pi\)
−0.831770 + 0.555120i \(0.812672\pi\)
\(74\) 3.01072 + 1.73824i 0.349989 + 0.202067i
\(75\) −1.53243 + 8.52359i −0.176950 + 0.984220i
\(76\) 4.18056 1.23406i 0.479543 0.141557i
\(77\) −6.91226 −0.787725
\(78\) 0.652996 4.17779i 0.0739372 0.473042i
\(79\) −6.44300 3.71987i −0.724894 0.418518i 0.0916575 0.995791i \(-0.470783\pi\)
−0.816551 + 0.577273i \(0.804117\pi\)
\(80\) 2.16634 0.554035i 0.242205 0.0619430i
\(81\) 7.32392 + 5.23070i 0.813769 + 0.581189i
\(82\) −3.63266 + 2.09732i −0.401161 + 0.231610i
\(83\) 10.1667 1.11594 0.557970 0.829861i \(-0.311580\pi\)
0.557970 + 0.829861i \(0.311580\pi\)
\(84\) 2.20371 0.851067i 0.240444 0.0928590i
\(85\) 8.59992 2.19940i 0.932792 0.238558i
\(86\) −4.66669 8.08295i −0.503222 0.871607i
\(87\) −2.95487 7.65117i −0.316795 0.820292i
\(88\) −5.06802 −0.540253
\(89\) 3.62450 + 6.27782i 0.384196 + 0.665448i 0.991657 0.128902i \(-0.0411452\pi\)
−0.607461 + 0.794350i \(0.707812\pi\)
\(90\) −0.400340 + 6.69625i −0.0421995 + 0.705846i
\(91\) 2.88363 1.66486i 0.302287 0.174525i
\(92\) 3.14511 5.44749i 0.327900 0.567940i
\(93\) 2.22735 14.2503i 0.230965 1.47769i
\(94\) 9.25839i 0.954930i
\(95\) −8.37282 + 4.98958i −0.859033 + 0.511920i
\(96\) 1.61574 0.623997i 0.164906 0.0636864i
\(97\) −5.42307 + 9.39303i −0.550629 + 0.953718i 0.447600 + 0.894234i \(0.352279\pi\)
−0.998229 + 0.0594842i \(0.981054\pi\)
\(98\) −4.45118 2.56989i −0.449638 0.259598i
\(99\) 4.63950 14.4789i 0.466287 1.45519i
\(100\) −4.38609 + 2.40046i −0.438609 + 0.240046i
\(101\) −12.4759 + 7.20295i −1.24140 + 0.716720i −0.969378 0.245572i \(-0.921024\pi\)
−0.272018 + 0.962292i \(0.587691\pi\)
\(102\) 6.41415 2.47713i 0.635096 0.245273i
\(103\) 1.39554 0.137506 0.0687532 0.997634i \(-0.478098\pi\)
0.0687532 + 0.997634i \(0.478098\pi\)
\(104\) 2.11426 1.22067i 0.207320 0.119696i
\(105\) −4.30247 + 3.06464i −0.419878 + 0.299078i
\(106\) −7.35643 −0.714520
\(107\) 13.5423i 1.30919i 0.755981 + 0.654593i \(0.227160\pi\)
−0.755981 + 0.654593i \(0.772840\pi\)
\(108\) 0.303579 + 5.18728i 0.0292119 + 0.499146i
\(109\) −1.72498 0.995917i −0.165223 0.0953916i 0.415108 0.909772i \(-0.363744\pi\)
−0.580331 + 0.814380i \(0.697077\pi\)
\(110\) 10.9791 2.80786i 1.04681 0.267719i
\(111\) −5.94921 0.929872i −0.564674 0.0882596i
\(112\) 1.18117 + 0.681949i 0.111610 + 0.0644381i
\(113\) 9.35520i 0.880063i 0.897982 + 0.440032i \(0.145033\pi\)
−0.897982 + 0.440032i \(0.854967\pi\)
\(114\) −5.98466 + 4.60259i −0.560515 + 0.431072i
\(115\) −3.79529 + 13.5436i −0.353913 + 1.26295i
\(116\) 2.36769 4.10097i 0.219835 0.380765i
\(117\) 1.55185 + 7.15771i 0.143469 + 0.661730i
\(118\) −0.510294 + 0.294619i −0.0469764 + 0.0271218i
\(119\) 4.68899 + 2.70719i 0.429839 + 0.248168i
\(120\) −3.15454 + 2.24697i −0.287969 + 0.205119i
\(121\) −14.6849 −1.33499
\(122\) 7.12041i 0.644651i
\(123\) 4.56074 5.65550i 0.411228 0.509939i
\(124\) 7.21167 4.16366i 0.647627 0.373907i
\(125\) 8.17184 7.63027i 0.730912 0.682472i
\(126\) −3.02957 + 2.75021i −0.269895 + 0.245008i
\(127\) 6.15762 + 10.6653i 0.546400 + 0.946393i 0.998517 + 0.0544343i \(0.0173356\pi\)
−0.452117 + 0.891959i \(0.649331\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 12.5839 + 10.1480i 1.10795 + 0.893479i
\(130\) −3.90392 + 3.81576i −0.342396 + 0.334664i
\(131\) 18.6976 + 10.7951i 1.63362 + 0.943170i 0.982964 + 0.183797i \(0.0588389\pi\)
0.650655 + 0.759374i \(0.274494\pi\)
\(132\) 8.18863 3.16243i 0.712729 0.275254i
\(133\) −5.77952 1.39329i −0.501148 0.120813i
\(134\) 11.0133i 0.951400i
\(135\) −3.53159 11.0692i −0.303951 0.952688i
\(136\) 3.43793 + 1.98489i 0.294800 + 0.170203i
\(137\) −3.24209 5.61546i −0.276990 0.479761i 0.693645 0.720317i \(-0.256004\pi\)
−0.970635 + 0.240556i \(0.922670\pi\)
\(138\) −1.68248 + 10.7643i −0.143222 + 0.916317i
\(139\) −0.586315 1.01553i −0.0497306 0.0861360i 0.840089 0.542449i \(-0.182503\pi\)
−0.889819 + 0.456313i \(0.849170\pi\)
\(140\) −2.93664 0.822926i −0.248192 0.0695499i
\(141\) 5.77720 + 14.9592i 0.486528 + 1.25979i
\(142\) 9.26899 5.35146i 0.777837 0.449084i
\(143\) 10.7151 6.18637i 0.896043 0.517330i
\(144\) −2.22126 + 2.01644i −0.185105 + 0.168036i
\(145\) −2.85716 + 10.1959i −0.237274 + 0.846722i
\(146\) 3.78306 + 6.55246i 0.313089 + 0.542285i
\(147\) 8.79558 + 1.37476i 0.725447 + 0.113389i
\(148\) −1.73824 3.01072i −0.142883 0.247480i
\(149\) 14.5597 + 8.40607i 1.19278 + 0.688652i 0.958936 0.283622i \(-0.0915360\pi\)
0.233844 + 0.972274i \(0.424869\pi\)
\(150\) 5.58892 6.61543i 0.456333 0.540148i
\(151\) 0.483534i 0.0393494i −0.999806 0.0196747i \(-0.993737\pi\)
0.999806 0.0196747i \(-0.00626306\pi\)
\(152\) −4.23750 1.02155i −0.343707 0.0828586i
\(153\) −8.81791 + 8.00482i −0.712886 + 0.647151i
\(154\) 5.98620 + 3.45613i 0.482381 + 0.278503i
\(155\) −13.3161 + 13.0154i −1.06958 + 1.04542i
\(156\) −2.65441 + 3.29158i −0.212523 + 0.263537i
\(157\) 0.0466968 + 0.0269604i 0.00372681 + 0.00215167i 0.501862 0.864948i \(-0.332648\pi\)
−0.498135 + 0.867099i \(0.665982\pi\)
\(158\) 3.71987 + 6.44300i 0.295937 + 0.512577i
\(159\) 11.8861 4.59039i 0.942629 0.364041i
\(160\) −2.15313 0.603364i −0.170220 0.0477001i
\(161\) −7.42982 + 4.28961i −0.585551 + 0.338068i
\(162\) −3.72735 8.19188i −0.292848 0.643615i
\(163\) 19.2029i 1.50409i 0.659111 + 0.752045i \(0.270933\pi\)
−0.659111 + 0.752045i \(0.729067\pi\)
\(164\) 4.19464 0.327546
\(165\) −15.9873 + 11.3877i −1.24461 + 0.886531i
\(166\) −8.80462 5.08335i −0.683371 0.394544i
\(167\) 0.292128 0.168660i 0.0226055 0.0130513i −0.488655 0.872477i \(-0.662512\pi\)
0.511260 + 0.859426i \(0.329179\pi\)
\(168\) −2.33400 0.364808i −0.180072 0.0281456i
\(169\) 3.51994 6.09672i 0.270765 0.468978i
\(170\) −8.54745 2.39522i −0.655559 0.183705i
\(171\) 6.79768 11.1710i 0.519832 0.854269i
\(172\) 9.33338i 0.711664i
\(173\) 5.13617 + 2.96537i 0.390496 + 0.225453i 0.682375 0.731002i \(-0.260947\pi\)
−0.291879 + 0.956455i \(0.594280\pi\)
\(174\) −1.26660 + 8.10354i −0.0960205 + 0.614328i
\(175\) 6.81771 + 0.155738i 0.515370 + 0.0117727i
\(176\) 4.38904 + 2.53401i 0.330836 + 0.191008i
\(177\) 0.640664 0.794450i 0.0481552 0.0597145i
\(178\) 7.24900i 0.543336i
\(179\) −15.4657 −1.15596 −0.577979 0.816052i \(-0.696159\pi\)
−0.577979 + 0.816052i \(0.696159\pi\)
\(180\) 3.69483 5.59895i 0.275396 0.417321i
\(181\) 13.0595 7.53991i 0.970705 0.560437i 0.0712539 0.997458i \(-0.477300\pi\)
0.899451 + 0.437021i \(0.143967\pi\)
\(182\) −3.32973 −0.246816
\(183\) 4.44311 + 11.5048i 0.328444 + 0.850456i
\(184\) −5.44749 + 3.14511i −0.401594 + 0.231861i
\(185\) 5.43368 + 5.55922i 0.399492 + 0.408722i
\(186\) −9.05410 + 11.2275i −0.663879 + 0.823237i
\(187\) 17.4235 + 10.0595i 1.27413 + 0.735622i
\(188\) −4.62919 + 8.01800i −0.337619 + 0.584773i
\(189\) 3.17888 6.33408i 0.231229 0.460736i
\(190\) 9.74586 0.134698i 0.707039 0.00977203i
\(191\) 3.72983i 0.269881i −0.990854 0.134941i \(-0.956916\pi\)
0.990854 0.134941i \(-0.0430844\pi\)
\(192\) −1.71127 0.267475i −0.123501 0.0193033i
\(193\) −1.12403 + 1.94688i −0.0809094 + 0.140139i −0.903641 0.428291i \(-0.859116\pi\)
0.822731 + 0.568430i \(0.192449\pi\)
\(194\) 9.39303 5.42307i 0.674381 0.389354i
\(195\) 3.92671 8.60132i 0.281198 0.615953i
\(196\) 2.56989 + 4.45118i 0.183564 + 0.317942i
\(197\) −24.7183 −1.76110 −0.880552 0.473949i \(-0.842828\pi\)
−0.880552 + 0.473949i \(0.842828\pi\)
\(198\) −11.2574 + 10.2194i −0.800027 + 0.726258i
\(199\) −7.54694 13.0717i −0.534988 0.926627i −0.999164 0.0408837i \(-0.986983\pi\)
0.464176 0.885743i \(-0.346351\pi\)
\(200\) 4.99870 + 0.114186i 0.353461 + 0.00807417i
\(201\) −6.87223 17.7946i −0.484730 1.25513i
\(202\) 14.4059 1.01360
\(203\) −5.59329 + 3.22929i −0.392572 + 0.226652i
\(204\) −6.79339 1.06182i −0.475632 0.0743421i
\(205\) −9.08703 + 2.32398i −0.634666 + 0.162314i
\(206\) −1.20857 0.697768i −0.0842051 0.0486158i
\(207\) −3.99843 18.4422i −0.277910 1.28182i
\(208\) −2.44133 −0.169276
\(209\) −21.4758 5.17724i −1.48551 0.358117i
\(210\) 5.25837 0.502818i 0.362862 0.0346977i
\(211\) 17.2731 + 9.97262i 1.18913 + 0.686543i 0.958108 0.286406i \(-0.0924606\pi\)
0.231019 + 0.972949i \(0.425794\pi\)
\(212\) 6.37085 + 3.67821i 0.437552 + 0.252621i
\(213\) −11.6370 + 14.4304i −0.797356 + 0.988755i
\(214\) 6.77117 11.7280i 0.462867 0.801710i
\(215\) −5.17102 20.2193i −0.352661 1.37895i
\(216\) 2.33073 4.64410i 0.158586 0.315991i
\(217\) −11.3576 −0.771004
\(218\) 0.995917 + 1.72498i 0.0674520 + 0.116830i
\(219\) −10.2012 8.22648i −0.689332 0.555894i
\(220\) −10.9121 3.05786i −0.735693 0.206161i
\(221\) −9.69157 −0.651926
\(222\) 4.68724 + 3.77990i 0.314587 + 0.253690i
\(223\) 7.23465 12.5308i 0.484468 0.839123i −0.515373 0.856966i \(-0.672347\pi\)
0.999841 + 0.0178430i \(0.00567991\pi\)
\(224\) −0.681949 1.18117i −0.0455646 0.0789202i
\(225\) −4.90225 + 14.1763i −0.326817 + 0.945088i
\(226\) 4.67760 8.10184i 0.311149 0.538926i
\(227\) 7.77481i 0.516032i −0.966141 0.258016i \(-0.916931\pi\)
0.966141 0.258016i \(-0.0830687\pi\)
\(228\) 7.48416 0.993626i 0.495651 0.0658045i
\(229\) 12.1628 0.803743 0.401872 0.915696i \(-0.368360\pi\)
0.401872 + 0.915696i \(0.368360\pi\)
\(230\) 10.0586 9.83149i 0.663247 0.648269i
\(231\) −11.8288 1.84886i −0.778276 0.121646i
\(232\) −4.10097 + 2.36769i −0.269242 + 0.155447i
\(233\) 4.24888 7.35928i 0.278354 0.482123i −0.692622 0.721301i \(-0.743545\pi\)
0.970976 + 0.239178i \(0.0768780\pi\)
\(234\) 2.23491 6.97468i 0.146101 0.455949i
\(235\) 5.58617 19.9345i 0.364402 1.30038i
\(236\) 0.589237 0.0383561
\(237\) −10.0308 8.08905i −0.651568 0.525440i
\(238\) −2.70719 4.68899i −0.175481 0.303942i
\(239\) 0.321143i 0.0207730i −0.999946 0.0103865i \(-0.996694\pi\)
0.999946 0.0103865i \(-0.00330619\pi\)
\(240\) 3.85540 0.368662i 0.248865 0.0237971i
\(241\) 4.85412 2.80253i 0.312682 0.180527i −0.335444 0.942060i \(-0.608886\pi\)
0.648126 + 0.761533i \(0.275553\pi\)
\(242\) 12.7175 + 7.34243i 0.817510 + 0.471989i
\(243\) 11.1341 + 10.9101i 0.714256 + 0.699885i
\(244\) −3.56020 + 6.16645i −0.227919 + 0.394767i
\(245\) −8.03338 8.21899i −0.513234 0.525092i
\(246\) −6.77746 + 2.61744i −0.432115 + 0.166882i
\(247\) 10.2061 3.01276i 0.649402 0.191698i
\(248\) −8.32731 −0.528785
\(249\) 17.3980 + 2.71934i 1.10255 + 0.172331i
\(250\) −10.8922 + 2.52209i −0.688880 + 0.159511i
\(251\) 11.2207 6.47825i 0.708242 0.408904i −0.102168 0.994767i \(-0.532578\pi\)
0.810410 + 0.585864i \(0.199245\pi\)
\(252\) 3.99879 0.866972i 0.251900 0.0546141i
\(253\) −27.6080 + 15.9395i −1.73570 + 1.00211i
\(254\) 12.3152i 0.772727i
\(255\) 15.3051 1.46351i 0.958442 0.0916486i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −9.55267 + 5.51524i −0.595879 + 0.344031i −0.767419 0.641146i \(-0.778459\pi\)
0.171539 + 0.985177i \(0.445126\pi\)
\(258\) −5.82400 15.0804i −0.362586 0.938862i
\(259\) 4.74157i 0.294627i
\(260\) 5.28877 1.35258i 0.327996 0.0838837i
\(261\) −3.01009 13.8836i −0.186320 0.859373i
\(262\) −10.7951 18.6976i −0.666922 1.15514i
\(263\) 3.48778 6.04100i 0.215065 0.372504i −0.738227 0.674552i \(-0.764337\pi\)
0.953293 + 0.302048i \(0.0976702\pi\)
\(264\) −8.67278 1.35557i −0.533772 0.0834295i
\(265\) −15.8393 4.43860i −0.973002 0.272661i
\(266\) 4.30857 + 4.09638i 0.264175 + 0.251165i
\(267\) 4.52335 + 11.7125i 0.276825 + 0.716796i
\(268\) 5.50663 9.53776i 0.336371 0.582611i
\(269\) −7.71267 + 13.3587i −0.470250 + 0.814497i −0.999421 0.0340183i \(-0.989170\pi\)
0.529171 + 0.848515i \(0.322503\pi\)
\(270\) −2.47617 + 11.3520i −0.150695 + 0.690863i
\(271\) −10.8170 + 18.7356i −0.657086 + 1.13811i 0.324280 + 0.945961i \(0.394878\pi\)
−0.981366 + 0.192146i \(0.938455\pi\)
\(272\) −1.98489 3.43793i −0.120352 0.208455i
\(273\) 5.37999 2.07774i 0.325612 0.125751i
\(274\) 6.48417i 0.391723i
\(275\) 25.3335 + 0.578698i 1.52767 + 0.0348968i
\(276\) 6.83921 8.48091i 0.411672 0.510491i
\(277\) 21.4127i 1.28657i −0.765629 0.643283i \(-0.777572\pi\)
0.765629 0.643283i \(-0.222428\pi\)
\(278\) 1.17263i 0.0703297i
\(279\) 7.62320 23.7904i 0.456389 1.42430i
\(280\) 2.13174 + 2.18100i 0.127396 + 0.130339i
\(281\) 7.90099 + 13.6849i 0.471333 + 0.816374i 0.999462 0.0327908i \(-0.0104395\pi\)
−0.528129 + 0.849164i \(0.677106\pi\)
\(282\) 2.47639 15.8436i 0.147467 0.943474i
\(283\) 5.08966 + 2.93851i 0.302549 + 0.174677i 0.643587 0.765373i \(-0.277445\pi\)
−0.341039 + 0.940049i \(0.610779\pi\)
\(284\) −10.7029 −0.635101
\(285\) −15.6628 + 6.29902i −0.927782 + 0.373122i
\(286\) −12.3727 −0.731616
\(287\) −4.95458 2.86053i −0.292460 0.168852i
\(288\) 2.93188 0.635658i 0.172763 0.0374565i
\(289\) 0.620408 + 1.07458i 0.0364946 + 0.0632104i
\(290\) 7.57232 7.40132i 0.444662 0.434620i
\(291\) −11.7928 + 14.6235i −0.691304 + 0.857246i
\(292\) 7.56613i 0.442774i
\(293\) 9.50600i 0.555346i −0.960676 0.277673i \(-0.910437\pi\)
0.960676 0.277673i \(-0.0895633\pi\)
\(294\) −6.92981 5.58837i −0.404155 0.325920i
\(295\) −1.27649 + 0.326458i −0.0743201 + 0.0190071i
\(296\) 3.47648i 0.202067i
\(297\) 11.8122 23.5364i 0.685413 1.36572i
\(298\) −8.40607 14.5597i −0.486951 0.843423i
\(299\) 7.67827 13.2991i 0.444046 0.769110i
\(300\) −8.14786 + 2.93467i −0.470417 + 0.169433i
\(301\) 6.36489 11.0243i 0.366866 0.635431i
\(302\) −0.241767 + 0.418752i −0.0139121 + 0.0240965i
\(303\) −23.2762 + 8.98924i −1.33719 + 0.516418i
\(304\) 3.15901 + 3.00344i 0.181182 + 0.172259i
\(305\) 4.29620 15.3311i 0.245999 0.877858i
\(306\) 11.6389 2.52342i 0.665354 0.144255i
\(307\) 6.33092 10.9655i 0.361325 0.625833i −0.626855 0.779136i \(-0.715658\pi\)
0.988179 + 0.153304i \(0.0489913\pi\)
\(308\) −3.45613 5.98620i −0.196931 0.341095i
\(309\) 2.38815 + 0.373271i 0.135857 + 0.0212347i
\(310\) 18.0398 4.61362i 1.02459 0.262036i
\(311\) 32.0007i 1.81459i −0.420494 0.907296i \(-0.638143\pi\)
0.420494 0.907296i \(-0.361857\pi\)
\(312\) 3.94457 1.52338i 0.223317 0.0862447i
\(313\) 15.0164 8.66973i 0.848778 0.490042i −0.0114606 0.999934i \(-0.503648\pi\)
0.860238 + 0.509892i \(0.170315\pi\)
\(314\) −0.0269604 0.0466968i −0.00152146 0.00263525i
\(315\) −8.18241 + 4.09363i −0.461027 + 0.230650i
\(316\) 7.43973i 0.418518i
\(317\) −10.3578 + 5.98008i −0.581753 + 0.335875i −0.761830 0.647778i \(-0.775699\pi\)
0.180077 + 0.983653i \(0.442365\pi\)
\(318\) −12.5889 1.96766i −0.705948 0.110341i
\(319\) −20.7838 + 11.9995i −1.16367 + 0.671845i
\(320\) 1.56298 + 1.59909i 0.0873732 + 0.0893919i
\(321\) −3.62224 + 23.1746i −0.202173 + 1.29348i
\(322\) 8.57921 0.478101
\(323\) 12.5406 + 11.9230i 0.697777 + 0.663414i
\(324\) −0.867960 + 8.95805i −0.0482200 + 0.497669i
\(325\) −10.7079 + 5.86033i −0.593968 + 0.325072i
\(326\) 9.60147 16.6302i 0.531776 0.921064i
\(327\) −2.68553 2.16568i −0.148510 0.119762i
\(328\) −3.63266 2.09732i −0.200580 0.115805i
\(329\) 10.9357 6.31374i 0.602906 0.348088i
\(330\) 19.5392 1.86839i 1.07560 0.102851i
\(331\) 12.2936i 0.675718i −0.941197 0.337859i \(-0.890297\pi\)
0.941197 0.337859i \(-0.109703\pi\)
\(332\) 5.08335 + 8.80462i 0.278985 + 0.483216i
\(333\) −9.93202 3.18253i −0.544271 0.174402i
\(334\) −0.337320 −0.0184573
\(335\) −6.64500 + 23.7129i −0.363055 + 1.29558i
\(336\) 1.83890 + 1.48293i 0.100320 + 0.0809007i
\(337\) −2.17542 + 3.76794i −0.118503 + 0.205253i −0.919175 0.393850i \(-0.871143\pi\)
0.800672 + 0.599103i \(0.204476\pi\)
\(338\) −6.09672 + 3.51994i −0.331618 + 0.191460i
\(339\) −2.50228 + 16.0093i −0.135905 + 0.869506i
\(340\) 6.20469 + 6.34805i 0.336497 + 0.344271i
\(341\) −42.2030 −2.28542
\(342\) −11.4725 + 6.27554i −0.620360 + 0.339342i
\(343\) 16.5574i 0.894016i
\(344\) 4.66669 8.08295i 0.251611 0.435803i
\(345\) −10.1174 + 22.1617i −0.544700 + 1.19315i
\(346\) −2.96537 5.13617i −0.159419 0.276122i
\(347\) −0.505034 + 0.874745i −0.0271116 + 0.0469588i −0.879263 0.476337i \(-0.841964\pi\)
0.852151 + 0.523296i \(0.175298\pi\)
\(348\) 5.14868 6.38457i 0.275998 0.342249i
\(349\) 20.0477 1.07313 0.536563 0.843860i \(-0.319722\pi\)
0.536563 + 0.843860i \(0.319722\pi\)
\(350\) −5.82644 3.54373i −0.311436 0.189420i
\(351\) 0.741138 + 12.6639i 0.0395590 + 0.675948i
\(352\) −2.53401 4.38904i −0.135063 0.233936i
\(353\) 9.12957 0.485918 0.242959 0.970037i \(-0.421882\pi\)
0.242959 + 0.970037i \(0.421882\pi\)
\(354\) −0.952056 + 0.367682i −0.0506012 + 0.0195421i
\(355\) 23.1862 5.92979i 1.23060 0.314720i
\(356\) −3.62450 + 6.27782i −0.192098 + 0.332724i
\(357\) 7.30004 + 5.88693i 0.386359 + 0.311569i
\(358\) 13.3937 + 7.73283i 0.707877 + 0.408693i
\(359\) 29.3938 + 16.9705i 1.55134 + 0.895668i 0.998033 + 0.0626932i \(0.0199689\pi\)
0.553310 + 0.832975i \(0.313364\pi\)
\(360\) −5.99929 + 3.00142i −0.316190 + 0.158189i
\(361\) −16.9129 8.65764i −0.890151 0.455665i
\(362\) −15.0798 −0.792577
\(363\) −25.1298 3.92783i −1.31897 0.206158i
\(364\) 2.88363 + 1.66486i 0.151143 + 0.0872626i
\(365\) 4.19190 + 16.3908i 0.219414 + 0.857936i
\(366\) 1.90453 12.1850i 0.0995514 0.636918i
\(367\) −6.59509 + 3.80768i −0.344261 + 0.198759i −0.662155 0.749367i \(-0.730358\pi\)
0.317894 + 0.948126i \(0.397024\pi\)
\(368\) 6.29022 0.327900
\(369\) 9.31737 8.45823i 0.485043 0.440318i
\(370\) −1.92609 7.53126i −0.100133 0.391532i
\(371\) −5.01671 8.68919i −0.260454 0.451120i
\(372\) 13.4548 5.19622i 0.697599 0.269411i
\(373\) 7.57854 0.392402 0.196201 0.980564i \(-0.437140\pi\)
0.196201 + 0.980564i \(0.437140\pi\)
\(374\) −10.0595 17.4235i −0.520163 0.900949i
\(375\) 16.0252 10.8717i 0.827536 0.561413i
\(376\) 8.01800 4.62919i 0.413497 0.238732i
\(377\) 5.78033 10.0118i 0.297702 0.515635i
\(378\) −5.92003 + 3.89603i −0.304493 + 0.200390i
\(379\) 6.21526i 0.319257i 0.987177 + 0.159628i \(0.0510296\pi\)
−0.987177 + 0.159628i \(0.948970\pi\)
\(380\) −8.50751 4.75628i −0.436426 0.243992i
\(381\) 7.68467 + 19.8983i 0.393697 + 1.01942i
\(382\) −1.86492 + 3.23013i −0.0954175 + 0.165268i
\(383\) −2.47608 1.42957i −0.126522 0.0730474i 0.435403 0.900235i \(-0.356606\pi\)
−0.561925 + 0.827188i \(0.689939\pi\)
\(384\) 1.34827 + 1.08728i 0.0688036 + 0.0554849i
\(385\) 10.8037 + 11.0533i 0.550609 + 0.563330i
\(386\) 1.94688 1.12403i 0.0990934 0.0572116i
\(387\) 18.8202 + 20.7318i 0.956684 + 1.05386i
\(388\) −10.8461 −0.550629
\(389\) −6.17490 + 3.56508i −0.313080 + 0.180757i −0.648304 0.761382i \(-0.724521\pi\)
0.335224 + 0.942138i \(0.391188\pi\)
\(390\) −7.70129 + 5.48561i −0.389970 + 0.277774i
\(391\) 24.9708 1.26283
\(392\) 5.13978i 0.259598i
\(393\) 29.1093 + 23.4745i 1.46837 + 1.18413i
\(394\) 21.4067 + 12.3591i 1.07845 + 0.622645i
\(395\) 4.12187 + 16.1170i 0.207394 + 0.810935i
\(396\) 14.8589 3.22153i 0.746686 0.161888i
\(397\) −17.6120 10.1683i −0.883921 0.510332i −0.0119721 0.999928i \(-0.503811\pi\)
−0.871949 + 0.489596i \(0.837144\pi\)
\(398\) 15.0939i 0.756588i
\(399\) −9.51767 3.93017i −0.476479 0.196755i
\(400\) −4.27190 2.59824i −0.213595 0.129912i
\(401\) 12.7015 21.9996i 0.634282 1.09861i −0.352384 0.935855i \(-0.614629\pi\)
0.986667 0.162754i \(-0.0520376\pi\)
\(402\) −2.94577 + 18.8467i −0.146922 + 0.939988i
\(403\) 17.6061 10.1649i 0.877022 0.506349i
\(404\) −12.4759 7.20295i −0.620698 0.358360i
\(405\) −3.08277 19.8871i −0.153184 0.988198i
\(406\) 6.45858 0.320534
\(407\) 17.6189i 0.873337i
\(408\) 5.35234 + 4.31625i 0.264980 + 0.213686i
\(409\) −31.6985 + 18.3011i −1.56739 + 0.904933i −0.570917 + 0.821008i \(0.693412\pi\)
−0.996472 + 0.0839249i \(0.973254\pi\)
\(410\) 9.03159 + 2.53089i 0.446038 + 0.124992i
\(411\) −4.04610 10.4768i −0.199580 0.516781i
\(412\) 0.697768 + 1.20857i 0.0343766 + 0.0595420i
\(413\) −0.695989 0.401829i −0.0342474 0.0197727i
\(414\) −5.75835 + 17.9706i −0.283008 + 0.883208i
\(415\) −15.8903 16.2575i −0.780026 0.798048i
\(416\) 2.11426 + 1.22067i 0.103660 + 0.0598481i
\(417\) −0.731718 1.89467i −0.0358324 0.0927824i
\(418\) 16.0099 + 15.2215i 0.783072 + 0.744508i
\(419\) 13.4366i 0.656421i 0.944605 + 0.328210i \(0.106446\pi\)
−0.944605 + 0.328210i \(0.893554\pi\)
\(420\) −4.80529 2.19373i −0.234474 0.107043i
\(421\) −19.3285 11.1593i −0.942012 0.543871i −0.0514217 0.998677i \(-0.516375\pi\)
−0.890591 + 0.454806i \(0.849709\pi\)
\(422\) −9.97262 17.2731i −0.485459 0.840840i
\(423\) 5.88517 + 27.1445i 0.286147 + 1.31981i
\(424\) −3.67821 6.37085i −0.178630 0.309396i
\(425\) −16.9585 10.3144i −0.822610 0.500324i
\(426\) 17.2932 6.67858i 0.837857 0.323578i
\(427\) 8.41041 4.85575i 0.407008 0.234986i
\(428\) −11.7280 + 6.77117i −0.566895 + 0.327297i
\(429\) 19.9912 7.72055i 0.965184 0.372752i
\(430\) −5.63142 + 20.0960i −0.271571 + 0.969113i
\(431\) 11.3802 + 19.7111i 0.548166 + 0.949452i 0.998400 + 0.0565412i \(0.0180072\pi\)
−0.450234 + 0.892911i \(0.648659\pi\)
\(432\) −4.34052 + 2.85655i −0.208834 + 0.137436i
\(433\) 10.3152 + 17.8664i 0.495715 + 0.858603i 0.999988 0.00494124i \(-0.00157285\pi\)
−0.504273 + 0.863544i \(0.668240\pi\)
\(434\) 9.83597 + 5.67880i 0.472142 + 0.272591i
\(435\) −7.61653 + 16.6837i −0.365185 + 0.799924i
\(436\) 1.99183i 0.0953916i
\(437\) −26.2966 + 7.76254i −1.25794 + 0.371332i
\(438\) 4.72124 + 12.2249i 0.225590 + 0.584130i
\(439\) −22.3956 12.9301i −1.06889 0.617122i −0.141009 0.990008i \(-0.545035\pi\)
−0.927877 + 0.372887i \(0.878368\pi\)
\(440\) 7.92122 + 8.10423i 0.377629 + 0.386354i
\(441\) 14.6839 + 4.70519i 0.699235 + 0.224057i
\(442\) 8.39315 + 4.84579i 0.399221 + 0.230491i
\(443\) −12.9864 22.4931i −0.617002 1.06868i −0.990030 0.140859i \(-0.955014\pi\)
0.373028 0.927820i \(-0.378320\pi\)
\(444\) −2.16931 5.61711i −0.102951 0.266576i
\(445\) 4.37379 15.6080i 0.207337 0.739891i
\(446\) −12.5308 + 7.23465i −0.593350 + 0.342571i
\(447\) 22.6673 + 18.2795i 1.07213 + 0.864589i
\(448\) 1.36390i 0.0644381i
\(449\) −7.37904 −0.348239 −0.174119 0.984725i \(-0.555708\pi\)
−0.174119 + 0.984725i \(0.555708\pi\)
\(450\) 11.3336 9.82592i 0.534273 0.463198i
\(451\) −18.4104 10.6293i −0.866913 0.500513i
\(452\) −8.10184 + 4.67760i −0.381079 + 0.220016i
\(453\) 0.129333 0.827458i 0.00607660 0.0388774i
\(454\) −3.88740 + 6.73318i −0.182445 + 0.316004i
\(455\) −7.16933 2.00904i −0.336103 0.0941851i
\(456\) −6.97829 2.88158i −0.326788 0.134942i
\(457\) 11.9340i 0.558248i −0.960255 0.279124i \(-0.909956\pi\)
0.960255 0.279124i \(-0.0900440\pi\)
\(458\) −10.5333 6.08142i −0.492190 0.284166i
\(459\) −17.2309 + 11.3399i −0.804271 + 0.529300i
\(460\) −13.6268 + 3.48500i −0.635352 + 0.162489i
\(461\) −4.47752 2.58510i −0.208539 0.120400i 0.392093 0.919925i \(-0.371751\pi\)
−0.600632 + 0.799526i \(0.705084\pi\)
\(462\) 9.31959 + 7.51554i 0.433587 + 0.349655i
\(463\) 18.3128i 0.851068i −0.904942 0.425534i \(-0.860086\pi\)
0.904942 0.425534i \(-0.139914\pi\)
\(464\) 4.73539 0.219835
\(465\) −26.2689 + 18.7112i −1.21819 + 0.867712i
\(466\) −7.35928 + 4.24888i −0.340912 + 0.196826i
\(467\) −39.1850 −1.81327 −0.906633 0.421921i \(-0.861356\pi\)
−0.906633 + 0.421921i \(0.861356\pi\)
\(468\) −5.42283 + 4.92280i −0.250670 + 0.227556i
\(469\) −13.0085 + 7.51047i −0.600678 + 0.346801i
\(470\) −14.8050 + 14.4707i −0.682904 + 0.667482i
\(471\) 0.0726997 + 0.0586268i 0.00334983 + 0.00270138i
\(472\) −0.510294 0.294619i −0.0234882 0.0135609i
\(473\) 23.6509 40.9646i 1.08747 1.88355i
\(474\) 4.64237 + 12.0207i 0.213231 + 0.552129i
\(475\) 21.0653 + 5.59028i 0.966544 + 0.256500i
\(476\) 5.41438i 0.248168i
\(477\) 21.5682 4.67617i 0.987540 0.214107i
\(478\) −0.160572 + 0.278118i −0.00734437 + 0.0127208i
\(479\) 2.03089 1.17253i 0.0927936 0.0535744i −0.452885 0.891569i \(-0.649605\pi\)
0.545679 + 0.837994i \(0.316272\pi\)
\(480\) −3.52320 1.60843i −0.160811 0.0734143i
\(481\) −4.24363 7.35018i −0.193493 0.335140i
\(482\) −5.60506 −0.255303
\(483\) −13.8618 + 5.35340i −0.630734 + 0.243588i
\(484\) −7.34243 12.7175i −0.333747 0.578067i
\(485\) 23.4965 6.00914i 1.06692 0.272861i
\(486\) −4.18739 15.0155i −0.189944 0.681118i
\(487\) −38.4769 −1.74355 −0.871777 0.489903i \(-0.837032\pi\)
−0.871777 + 0.489903i \(0.837032\pi\)
\(488\) 6.16645 3.56020i 0.279142 0.161163i
\(489\) −5.13631 + 32.8615i −0.232272 + 1.48605i
\(490\) 2.84762 + 11.1345i 0.128642 + 0.503007i
\(491\) 33.6488 + 19.4272i 1.51855 + 0.876735i 0.999762 + 0.0218329i \(0.00695017\pi\)
0.518789 + 0.854903i \(0.326383\pi\)
\(492\) 7.17818 + 1.12196i 0.323617 + 0.0505819i
\(493\) 18.7985 0.846640
\(494\) −10.3452 2.49394i −0.465451 0.112208i
\(495\) −30.4045 + 15.2113i −1.36658 + 0.683695i
\(496\) 7.21167 + 4.16366i 0.323813 + 0.186954i
\(497\) 12.6420 + 7.29884i 0.567069 + 0.327398i
\(498\) −13.7074 11.0540i −0.614245 0.495342i
\(499\) 1.77310 3.07110i 0.0793749 0.137481i −0.823605 0.567163i \(-0.808041\pi\)
0.902980 + 0.429682i \(0.141374\pi\)
\(500\) 10.6939 + 3.26189i 0.478247 + 0.145876i
\(501\) 0.545023 0.210487i 0.0243498 0.00940385i
\(502\) −12.9565 −0.578277
\(503\) −0.0260442 0.0451098i −0.00116125 0.00201135i 0.865444 0.501005i \(-0.167036\pi\)
−0.866605 + 0.498994i \(0.833703\pi\)
\(504\) −3.89654 1.24857i −0.173566 0.0556159i
\(505\) 31.0177 + 8.69200i 1.38027 + 0.386789i
\(506\) 31.8790 1.41719
\(507\) 7.65430 9.49166i 0.339940 0.421539i
\(508\) −6.15762 + 10.6653i −0.273200 + 0.473196i
\(509\) −5.84914 10.1310i −0.259259 0.449049i 0.706785 0.707428i \(-0.250145\pi\)
−0.966044 + 0.258379i \(0.916812\pi\)
\(510\) −13.9864 6.38511i −0.619326 0.282737i
\(511\) −5.15971 + 8.93688i −0.228252 + 0.395344i
\(512\) 1.00000i 0.0441942i
\(513\) 14.6207 17.2984i 0.645518 0.763745i
\(514\) 11.0305 0.486533
\(515\) −2.18120 2.23159i −0.0961150 0.0983356i
\(516\) −2.49645 + 15.9720i −0.109900 + 0.703127i
\(517\) 40.6354 23.4609i 1.78714 1.03181i
\(518\) 2.37078 4.10632i 0.104166 0.180421i
\(519\) 7.99623 + 6.44836i 0.350996 + 0.283051i
\(520\) −5.25650 1.47301i −0.230513 0.0645959i
\(521\) −3.72071 −0.163007 −0.0815037 0.996673i \(-0.525972\pi\)
−0.0815037 + 0.996673i \(0.525972\pi\)
\(522\) −4.33499 + 13.5286i −0.189737 + 0.592130i
\(523\) −4.81021 8.33153i −0.210336 0.364312i 0.741484 0.670971i \(-0.234122\pi\)
−0.951820 + 0.306658i \(0.900789\pi\)
\(524\) 21.5902i 0.943170i
\(525\) 11.6253 + 2.09008i 0.507370 + 0.0912184i
\(526\) −6.04100 + 3.48778i −0.263400 + 0.152074i
\(527\) 28.6288 + 16.5288i 1.24709 + 0.720007i
\(528\) 6.83306 + 5.51035i 0.297371 + 0.239807i
\(529\) −8.28343 + 14.3473i −0.360149 + 0.623797i
\(530\) 11.4980 + 11.7636i 0.499439 + 0.510978i
\(531\) 1.30885 1.18816i 0.0567991 0.0515617i
\(532\) −1.68314 5.70185i −0.0729732 0.247207i
\(533\) 10.2405 0.443566
\(534\) 1.93893 12.4050i 0.0839056 0.536818i
\(535\) 21.6554 21.1664i 0.936246 0.915103i
\(536\) −9.53776 + 5.50663i −0.411968 + 0.237850i
\(537\) −26.4660 4.13668i −1.14209 0.178511i
\(538\) 13.3587 7.71267i 0.575936 0.332517i
\(539\) 26.0486i 1.12199i
\(540\) 7.82044 8.59306i 0.336538 0.369786i
\(541\) 12.6273 + 21.8711i 0.542890 + 0.940313i 0.998736 + 0.0502546i \(0.0160033\pi\)
−0.455846 + 0.890058i \(0.650663\pi\)
\(542\) 18.7356 10.8170i 0.804763 0.464630i
\(543\) 24.3651 9.40975i 1.04561 0.403811i
\(544\) 3.96978i 0.170203i
\(545\) 1.10355 + 4.31500i 0.0472707 + 0.184834i
\(546\) −5.69808 0.890619i −0.243855 0.0381150i
\(547\) 18.7690 + 32.5089i 0.802505 + 1.38998i 0.917963 + 0.396667i \(0.129833\pi\)
−0.115458 + 0.993312i \(0.536834\pi\)
\(548\) 3.24209 5.61546i 0.138495 0.239881i
\(549\) 4.52614 + 20.8762i 0.193171 + 0.890975i
\(550\) −21.6501 13.1679i −0.923164 0.561482i
\(551\) −19.7966 + 5.84377i −0.843362 + 0.248953i
\(552\) −10.1634 + 3.92508i −0.432582 + 0.167062i
\(553\) −5.07351 + 8.78758i −0.215748 + 0.373686i
\(554\) −10.7064 + 18.5440i −0.454869 + 0.787857i
\(555\) 7.81155 + 10.9667i 0.331582 + 0.465511i
\(556\) 0.586315 1.01553i 0.0248653 0.0430680i
\(557\) 14.2223 + 24.6337i 0.602618 + 1.04377i 0.992423 + 0.122868i \(0.0392091\pi\)
−0.389805 + 0.920897i \(0.627458\pi\)
\(558\) −18.4971 + 16.7915i −0.783045 + 0.710841i
\(559\) 22.7859i 0.963742i
\(560\) −0.755647 2.95467i −0.0319319 0.124858i
\(561\) 27.1258 + 21.8749i 1.14525 + 0.923558i
\(562\) 15.8020i 0.666566i
\(563\) 41.2966i 1.74044i −0.492661 0.870221i \(-0.663976\pi\)
0.492661 0.870221i \(-0.336024\pi\)
\(564\) −10.0664 + 12.4828i −0.423873 + 0.525620i
\(565\) 14.9598 14.6220i 0.629364 0.615152i
\(566\) −2.93851 5.08966i −0.123515 0.213934i
\(567\) 7.13414 9.98907i 0.299606 0.419502i
\(568\) 9.26899 + 5.35146i 0.388918 + 0.224542i
\(569\) −35.3619 −1.48245 −0.741224 0.671258i \(-0.765754\pi\)
−0.741224 + 0.671258i \(0.765754\pi\)
\(570\) 16.7139 + 2.37627i 0.700067 + 0.0995310i
\(571\) 12.1212 0.507258 0.253629 0.967302i \(-0.418376\pi\)
0.253629 + 0.967302i \(0.418376\pi\)
\(572\) 10.7151 + 6.18637i 0.448021 + 0.258665i
\(573\) 0.997637 6.38277i 0.0416769 0.266644i
\(574\) 2.86053 + 4.95458i 0.119396 + 0.206800i
\(575\) 27.5895 15.0994i 1.15056 0.629689i
\(576\) −2.85691 0.915446i −0.119038 0.0381436i
\(577\) 13.3398i 0.555341i −0.960676 0.277671i \(-0.910438\pi\)
0.960676 0.277671i \(-0.0895624\pi\)
\(578\) 1.24082i 0.0516111i
\(579\) −2.44426 + 3.03099i −0.101580 + 0.125964i
\(580\) −10.2585 + 2.62357i −0.425960 + 0.108938i
\(581\) 13.8663i 0.575272i
\(582\) 17.5246 6.76796i 0.726418 0.280541i
\(583\) −18.6413 32.2876i −0.772043 1.33722i
\(584\) −3.78306 + 6.55246i −0.156544 + 0.271143i
\(585\) 9.02031 13.6689i 0.372944 0.565140i
\(586\) −4.75300 + 8.23244i −0.196345 + 0.340079i
\(587\) −13.4351 + 23.2703i −0.554527 + 0.960470i 0.443413 + 0.896318i \(0.353768\pi\)
−0.997940 + 0.0641521i \(0.979566\pi\)
\(588\) 3.20721 + 8.30458i 0.132263 + 0.342475i
\(589\) −35.2870 8.50676i −1.45398 0.350515i
\(590\) 1.26870 + 0.355524i 0.0522316 + 0.0146367i
\(591\) −42.2997 6.61152i −1.73998 0.271962i
\(592\) 1.73824 3.01072i 0.0714413 0.123740i
\(593\) 12.3146 + 21.3295i 0.505700 + 0.875898i 0.999978 + 0.00659420i \(0.00209902\pi\)
−0.494278 + 0.869304i \(0.664568\pi\)
\(594\) −21.9979 + 14.4770i −0.902584 + 0.594000i
\(595\) −2.99975 11.7294i −0.122978 0.480859i
\(596\) 16.8121i 0.688652i
\(597\) −9.41853 24.3878i −0.385475 0.998128i
\(598\) −13.2991 + 7.67827i −0.543843 + 0.313988i
\(599\) −8.57637 14.8547i −0.350421 0.606947i 0.635902 0.771770i \(-0.280628\pi\)
−0.986323 + 0.164822i \(0.947295\pi\)
\(600\) 8.52359 + 1.53243i 0.347974 + 0.0625612i
\(601\) 14.8259i 0.604759i −0.953188 0.302380i \(-0.902219\pi\)
0.953188 0.302380i \(-0.0977810\pi\)
\(602\) −11.0243 + 6.36489i −0.449317 + 0.259413i
\(603\) −7.00066 32.2896i −0.285089 1.31493i
\(604\) 0.418752 0.241767i 0.0170388 0.00983735i
\(605\) 22.9522 + 23.4824i 0.933138 + 0.954697i
\(606\) 24.6524 + 3.85322i 1.00144 + 0.156526i
\(607\) −14.9609 −0.607242 −0.303621 0.952793i \(-0.598196\pi\)
−0.303621 + 0.952793i \(0.598196\pi\)
\(608\) −1.23406 4.18056i −0.0500479 0.169544i
\(609\) −10.4354 + 4.03013i −0.422864 + 0.163309i
\(610\) −11.3862 + 11.1291i −0.461013 + 0.450602i
\(611\) −11.3014 + 19.5746i −0.457206 + 0.791904i
\(612\) −11.3413 3.63412i −0.458446 0.146901i
\(613\) −33.9142 19.5804i −1.36978 0.790844i −0.378883 0.925445i \(-0.623692\pi\)
−0.990900 + 0.134600i \(0.957025\pi\)
\(614\) −10.9655 + 6.33092i −0.442530 + 0.255495i
\(615\) −16.1720 + 1.54641i −0.652118 + 0.0623571i
\(616\) 6.91226i 0.278503i
\(617\) −15.0341 26.0399i −0.605252 1.04833i −0.992012 0.126146i \(-0.959739\pi\)
0.386760 0.922180i \(-0.373594\pi\)
\(618\) −1.88156 1.51733i −0.0756874 0.0610362i
\(619\) 0.945014 0.0379833 0.0189917 0.999820i \(-0.493954\pi\)
0.0189917 + 0.999820i \(0.493954\pi\)
\(620\) −17.9298 5.02440i −0.720076 0.201785i
\(621\) −1.90958 32.6291i −0.0766288 1.30936i
\(622\) −16.0003 + 27.7134i −0.641555 + 1.11121i
\(623\) 8.56230 4.94345i 0.343041 0.198055i
\(624\) −4.17779 0.652996i −0.167246 0.0261408i
\(625\) −24.9739 1.14156i −0.998957 0.0456625i
\(626\) −17.3395 −0.693024
\(627\) −35.3661 14.6039i −1.41239 0.583223i
\(628\) 0.0539208i 0.00215167i
\(629\) 6.90045 11.9519i 0.275139 0.476554i
\(630\) 9.13299 + 0.546023i 0.363867 + 0.0217541i
\(631\) 12.8312 + 22.2244i 0.510804 + 0.884738i 0.999922 + 0.0125202i \(0.00398541\pi\)
−0.489118 + 0.872218i \(0.662681\pi\)
\(632\) −3.71987 + 6.44300i −0.147968 + 0.256289i
\(633\) 26.8915 + 21.6860i 1.06884 + 0.861941i
\(634\) 11.9602 0.474999
\(635\) 7.43056 26.5163i 0.294873 1.05227i
\(636\) 9.91844 + 7.99848i 0.393292 + 0.317160i
\(637\) 6.27397 + 10.8668i 0.248584 + 0.430560i
\(638\) 23.9991 0.950132
\(639\) −23.7739 + 21.5818i −0.940481 + 0.853761i
\(640\) −0.554035 2.16634i −0.0219002 0.0856323i
\(641\) 9.01119 15.6078i 0.355921 0.616473i −0.631354 0.775494i \(-0.717501\pi\)
0.987275 + 0.159022i \(0.0508340\pi\)
\(642\) 14.7243 18.2587i 0.581120 0.720614i
\(643\) 28.9629 + 16.7217i 1.14218 + 0.659440i 0.946970 0.321321i \(-0.104127\pi\)
0.195213 + 0.980761i \(0.437460\pi\)
\(644\) −7.42982 4.28961i −0.292776 0.169034i
\(645\) −3.44087 35.9839i −0.135484 1.41686i
\(646\) −4.89897 16.5959i −0.192747 0.652958i
\(647\) 42.8741 1.68556 0.842778 0.538261i \(-0.180919\pi\)
0.842778 + 0.538261i \(0.180919\pi\)
\(648\) 5.23070 7.32392i 0.205481 0.287711i
\(649\) −2.58618 1.49313i −0.101517 0.0586106i
\(650\) 12.2035 + 0.278766i 0.478660 + 0.0109341i
\(651\) −19.4360 3.03787i −0.761755 0.119064i
\(652\) −16.6302 + 9.60147i −0.651290 + 0.376023i
\(653\) −6.55476 −0.256507 −0.128254 0.991741i \(-0.540937\pi\)
−0.128254 + 0.991741i \(0.540937\pi\)
\(654\) 1.24290 + 3.21829i 0.0486012 + 0.125845i
\(655\) −11.9617 46.7717i −0.467382 1.82752i
\(656\) 2.09732 + 3.63266i 0.0818866 + 0.141832i
\(657\) −15.2566 16.8063i −0.595218 0.655677i
\(658\) −12.6275 −0.492271
\(659\) 7.36677 + 12.7596i 0.286969 + 0.497044i 0.973085 0.230448i \(-0.0740192\pi\)
−0.686116 + 0.727492i \(0.740686\pi\)
\(660\) −17.8557 8.15155i −0.695031 0.317299i
\(661\) −16.7448 + 9.66762i −0.651297 + 0.376027i −0.788953 0.614453i \(-0.789377\pi\)
0.137656 + 0.990480i \(0.456043\pi\)
\(662\) −6.14681 + 10.6466i −0.238902 + 0.413791i
\(663\) −16.5849 2.59225i −0.644105 0.100675i
\(664\) 10.1667i 0.394544i
\(665\) 6.80528 + 11.4197i 0.263897 + 0.442835i
\(666\) 7.01011 + 7.72216i 0.271636 + 0.299228i
\(667\) −14.8933 + 25.7960i −0.576671 + 0.998824i
\(668\) 0.292128 + 0.168660i 0.0113028 + 0.00652566i
\(669\) 15.7321 19.5085i 0.608239 0.754242i
\(670\) 17.6112 17.2135i 0.680380 0.665015i
\(671\) 31.2517 18.0432i 1.20646 0.696550i
\(672\) −0.851067 2.20371i −0.0328306 0.0850099i
\(673\) 21.1715 0.816100 0.408050 0.912960i \(-0.366209\pi\)
0.408050 + 0.912960i \(0.366209\pi\)
\(674\) 3.76794 2.17542i 0.145136 0.0837941i
\(675\) −12.1809 + 22.9483i −0.468843 + 0.883281i
\(676\) 7.03988 0.270765
\(677\) 8.33346i 0.320281i 0.987094 + 0.160140i \(0.0511947\pi\)
−0.987094 + 0.160140i \(0.948805\pi\)
\(678\) 10.1717 12.6133i 0.390641 0.484412i
\(679\) 12.8111 + 7.39651i 0.491646 + 0.283852i
\(680\) −2.19940 8.59992i −0.0843431 0.329792i
\(681\) 2.07957 13.3048i 0.0796892 0.509842i
\(682\) 36.5489 + 21.1015i 1.39953 + 0.808019i
\(683\) 1.85318i 0.0709099i −0.999371 0.0354550i \(-0.988712\pi\)
0.999371 0.0354550i \(-0.0112880\pi\)
\(684\) 13.0732 + 0.301460i 0.499867 + 0.0115266i
\(685\) −3.91231 + 13.9612i −0.149482 + 0.533432i
\(686\) −8.27871 + 14.3391i −0.316083 + 0.547471i
\(687\) 20.8140 + 3.25326i 0.794102 + 0.124119i
\(688\) −8.08295 + 4.66669i −0.308159 + 0.177916i
\(689\) 15.5534 + 8.97975i 0.592537 + 0.342101i
\(690\) 19.8428 14.1339i 0.755401 0.538070i
\(691\) 2.74537 0.104439 0.0522195 0.998636i \(-0.483370\pi\)
0.0522195 + 0.998636i \(0.483370\pi\)
\(692\) 5.93074i 0.225453i
\(693\) −19.7477 6.32780i −0.750155 0.240373i
\(694\) 0.874745 0.505034i 0.0332049 0.0191708i
\(695\) −0.707523 + 2.52482i −0.0268379 + 0.0957720i
\(696\) −7.65117 + 2.95487i −0.290017 + 0.112004i
\(697\) 8.32591 + 14.4209i 0.315366 + 0.546230i
\(698\) −17.3618 10.0238i −0.657153 0.379408i
\(699\) 9.23943 11.4573i 0.349467 0.433354i
\(700\) 3.27398 + 5.98218i 0.123745 + 0.226105i
\(701\) 15.0883 + 8.71122i 0.569876 + 0.329018i 0.757100 0.653299i \(-0.226616\pi\)
−0.187224 + 0.982317i \(0.559949\pi\)
\(702\) 5.69010 11.3378i 0.214759 0.427918i
\(703\) −3.55140 + 14.7316i −0.133944 + 0.555613i
\(704\) 5.06802i 0.191008i
\(705\) 14.8914 32.6192i 0.560844 1.22851i
\(706\) −7.90644 4.56479i −0.297563 0.171798i
\(707\) 9.82408 + 17.0158i 0.369473 + 0.639946i
\(708\) 1.00835 + 0.157606i 0.0378960 + 0.00592320i
\(709\) 15.1109 + 26.1728i 0.567501 + 0.982941i 0.996812 + 0.0797839i \(0.0254230\pi\)
−0.429311 + 0.903157i \(0.641244\pi\)
\(710\) −23.0447 6.45775i −0.864853 0.242355i
\(711\) −15.0018 16.5255i −0.562610 0.619756i
\(712\) 6.27782 3.62450i 0.235271 0.135834i
\(713\) −45.3630 + 26.1903i −1.69886 + 0.980835i
\(714\) −3.37855 8.74825i −0.126439 0.327395i
\(715\) −26.6401 7.46526i −0.996282 0.279185i
\(716\) −7.73283 13.3937i −0.288990 0.500545i
\(717\) 0.0858978 0.549564i 0.00320791 0.0205238i
\(718\) −16.9705 29.3938i −0.633333 1.09697i
\(719\) 8.06657 + 4.65724i 0.300832 + 0.173686i 0.642817 0.766020i \(-0.277766\pi\)
−0.341984 + 0.939706i \(0.611099\pi\)
\(720\) 6.69625 + 0.400340i 0.249554 + 0.0149198i
\(721\) 1.90337i 0.0708851i
\(722\) 10.3182 + 15.9542i 0.384002 + 0.593753i
\(723\) 9.05634 3.49754i 0.336809 0.130075i
\(724\) 13.0595 + 7.53991i 0.485353 + 0.280218i
\(725\) 20.7698 11.3671i 0.771372 0.422164i
\(726\) 19.7991 + 15.9665i 0.734815 + 0.592573i
\(727\) −38.9254 22.4736i −1.44366 0.833500i −0.445572 0.895246i \(-0.647000\pi\)
−0.998092 + 0.0617466i \(0.980333\pi\)
\(728\) −1.66486 2.88363i −0.0617040 0.106874i
\(729\) 16.1354 + 21.6483i 0.597607 + 0.801789i
\(730\) 4.56513 16.2908i 0.168963 0.602951i
\(731\) −32.0876 + 18.5258i −1.18680 + 0.685200i
\(732\) −7.74186 + 9.60023i −0.286147 + 0.354835i
\(733\) 29.5925i 1.09302i 0.837452 + 0.546511i \(0.184044\pi\)
−0.837452 + 0.546511i \(0.815956\pi\)
\(734\) 7.61535 0.281088
\(735\) −11.5489 16.2137i −0.425989 0.598050i
\(736\) −5.44749 3.14511i −0.200797 0.115930i
\(737\) −48.3376 + 27.9077i −1.78054 + 1.02799i
\(738\) −12.2982 + 2.66636i −0.452703 + 0.0981499i
\(739\) −20.5708 + 35.6297i −0.756711 + 1.31066i 0.187809 + 0.982206i \(0.439862\pi\)
−0.944519 + 0.328456i \(0.893472\pi\)
\(740\) −2.09758 + 7.48531i −0.0771087 + 0.275165i
\(741\) 18.2714 2.42577i 0.671215 0.0891131i
\(742\) 10.0334i 0.368338i
\(743\) −7.23600 4.17770i −0.265463 0.153265i 0.361361 0.932426i \(-0.382312\pi\)
−0.626824 + 0.779161i \(0.715646\pi\)
\(744\) −14.2503 2.22735i −0.522442 0.0816585i
\(745\) −9.31451 36.4209i −0.341257 1.33436i
\(746\) −6.56320 3.78927i −0.240296 0.138735i
\(747\) 29.0454 + 9.30706i 1.06271 + 0.340527i
\(748\) 20.1190i 0.735622i
\(749\) 18.4704 0.674892
\(750\) −19.3141 + 1.40260i −0.705250 + 0.0512157i
\(751\) 36.1287 20.8589i 1.31835 0.761152i 0.334890 0.942257i \(-0.391301\pi\)
0.983464 + 0.181105i \(0.0579674\pi\)
\(752\) −9.25839 −0.337619
\(753\) 20.9344 8.08481i 0.762892 0.294627i
\(754\) −10.0118 + 5.78033i −0.364609 + 0.210507i
\(755\) −0.773214 + 0.755753i −0.0281401 + 0.0275047i
\(756\) 7.07491 0.414051i 0.257312 0.0150589i
\(757\) 30.7033 + 17.7266i 1.11593 + 0.644283i 0.940359 0.340184i \(-0.110489\pi\)
0.175571 + 0.984467i \(0.443823\pi\)
\(758\) 3.10763 5.38258i 0.112874 0.195504i
\(759\) −51.5083 + 19.8924i −1.86963 + 0.722048i
\(760\) 4.98958 + 8.37282i 0.180991 + 0.303714i
\(761\) 5.16853i 0.187359i −0.995602 0.0936795i \(-0.970137\pi\)
0.995602 0.0936795i \(-0.0298629\pi\)
\(762\) 3.29402 21.0747i 0.119330 0.763457i
\(763\) −1.35833 + 2.35269i −0.0491748 + 0.0851732i
\(764\) 3.23013 1.86492i 0.116862 0.0674703i
\(765\) 26.5827 + 1.58926i 0.961098 + 0.0574599i
\(766\) 1.42957 + 2.47608i 0.0516523 + 0.0894644i
\(767\) 1.43853 0.0519421
\(768\) −0.623997 1.61574i −0.0225165 0.0583031i
\(769\) 4.32494 + 7.49101i 0.155961 + 0.270133i 0.933409 0.358815i \(-0.116819\pi\)
−0.777447 + 0.628948i \(0.783486\pi\)
\(770\) −3.82963 14.9743i −0.138010 0.539638i
\(771\) −17.8224 + 6.88298i −0.641859 + 0.247884i
\(772\) −2.24806 −0.0809094
\(773\) −4.26585 + 2.46289i −0.153432 + 0.0885840i −0.574750 0.818329i \(-0.694901\pi\)
0.421318 + 0.906913i \(0.361568\pi\)
\(774\) −5.93284 27.3644i −0.213252 0.983593i
\(775\) 41.6257 + 0.950863i 1.49524 + 0.0341560i