Properties

Label 570.2.n.a.179.15
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 179.15
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.08728 + 1.34827i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.16634 + 0.554035i) q^{5} +(-0.267475 - 1.71127i) q^{6} +1.36390i q^{7} -1.00000i q^{8} +(-0.635658 + 2.93188i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.08728 + 1.34827i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.16634 + 0.554035i) q^{5} +(-0.267475 - 1.71127i) q^{6} +1.36390i q^{7} -1.00000i q^{8} +(-0.635658 + 2.93188i) q^{9} +(-1.59909 - 1.56298i) q^{10} +5.06802i q^{11} +(-0.623997 + 1.61574i) q^{12} +(-1.22067 - 2.11426i) q^{13} +(0.681949 - 1.18117i) q^{14} +(1.60843 + 3.52320i) 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} +(-1.83890 + 1.48293i) q^{21} +(2.53401 - 4.38904i) q^{22} +(-3.14511 - 5.44749i) q^{23} +(1.34827 - 1.08728i) q^{24} +(4.38609 + 2.40046i) 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} +(-6.83306 + 5.51035i) q^{33} +(3.43793 - 1.98489i) q^{34} +(-0.755647 + 2.95467i) q^{35} +(-2.85691 + 0.915446i) q^{36} +3.47648 q^{37} +(-3.00344 + 3.15901i) q^{38} +(1.52338 - 3.94457i) q^{39} +(0.554035 - 2.16634i) q^{40} +(-2.09732 + 3.63266i) q^{41} +(2.33400 - 0.364808i) 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} +(-1.71127 + 0.267475i) q^{48} +5.13978 q^{49} +(-2.59824 - 4.27190i) q^{50} +(-6.79339 + 1.06182i) q^{51} +(1.22067 - 2.11426i) q^{52} +(6.37085 - 3.67821i) q^{53} +(5.18728 + 0.303579i) q^{54} +(-2.80786 + 10.9791i) q^{55} +1.36390 q^{56} +(6.82400 - 3.23002i) q^{57} -4.73539i q^{58} +(-0.294619 + 0.510294i) q^{59} +(-2.24697 + 3.15454i) q^{60} +(3.56020 + 6.16645i) q^{61} +(-4.16366 + 7.21167i) q^{62} +(-3.99879 - 0.866972i) q^{63} -1.00000 q^{64} +(-1.47301 - 5.25650i) q^{65} +(8.67278 - 1.35557i) q^{66} +(5.50663 + 9.53776i) q^{67} -3.96978 q^{68} +(3.92508 - 10.1634i) q^{69} +(2.13174 - 2.18100i) q^{70} +(5.35146 - 9.26899i) q^{71} +(2.93188 + 0.635658i) 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} +(-3.29158 + 2.65441i) q^{78} +(-6.44300 - 3.71987i) q^{79} +(-1.56298 + 1.59909i) q^{80} +(-8.19188 - 3.72735i) q^{81} +(3.63266 - 2.09732i) q^{82} +10.1667 q^{83} +(-2.20371 - 0.851067i) q^{84} +(-6.20469 + 6.34805i) q^{85} +(4.66669 + 8.08295i) q^{86} +(-2.95487 + 7.65117i) q^{87} +5.06802 q^{88} +(-3.62450 - 6.27782i) q^{89} +(5.59895 - 3.69483i) q^{90} +(2.88363 - 1.66486i) q^{91} +(3.14511 - 5.44749i) q^{92} +(11.2275 - 9.05410i) q^{93} -9.25839i q^{94} +(4.56075 - 8.61392i) q^{95} +(1.61574 + 0.623997i) q^{96} +(5.42307 - 9.39303i) q^{97} +(-4.45118 - 2.56989i) q^{98} +(-14.8589 - 3.22153i) 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
\(3\) 1.08728 + 1.34827i 0.627740 + 0.778423i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 2.16634 + 0.554035i 0.968818 + 0.247772i
\(6\) −0.267475 1.71127i −0.109196 0.698624i
\(7\) 1.36390i 0.515505i 0.966211 + 0.257752i \(0.0829819\pi\)
−0.966211 + 0.257752i \(0.917018\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.635658 + 2.93188i −0.211886 + 0.977294i
\(10\) −1.59909 1.56298i −0.505677 0.494258i
\(11\) 5.06802i 1.52807i 0.645177 + 0.764033i \(0.276784\pi\)
−0.645177 + 0.764033i \(0.723216\pi\)
\(12\) −0.623997 + 1.61574i −0.180132 + 0.466425i
\(13\) −1.22067 2.11426i −0.338552 0.586390i 0.645608 0.763669i \(-0.276604\pi\)
−0.984161 + 0.177279i \(0.943271\pi\)
\(14\) 0.681949 1.18117i 0.182258 0.315681i
\(15\) 1.60843 + 3.52320i 0.415294 + 0.909687i
\(16\) −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
\(21\) −1.83890 + 1.48293i −0.401281 + 0.323603i
\(22\) 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 \(-0.394336\pi\)
\(24\) 1.34827 1.08728i 0.275214 0.221939i
\(25\) 4.38609 + 2.40046i 0.877218 + 0.480092i
\(26\) 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 0.997664 0.0683147i \(-0.0217622\pi\)
−0.557994 + 0.829845i \(0.688429\pi\)
\(30\) 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
\(33\) −6.83306 + 5.51035i −1.18948 + 0.959228i
\(34\) 3.43793 1.98489i 0.589601 0.340406i
\(35\) −0.755647 + 2.95467i −0.127728 + 0.499430i
\(36\) −2.85691 + 0.915446i −0.476152 + 0.152574i
\(37\) 3.47648 0.571530 0.285765 0.958300i \(-0.407752\pi\)
0.285765 + 0.958300i \(0.407752\pi\)
\(38\) −3.00344 + 3.15901i −0.487222 + 0.512459i
\(39\) 1.52338 3.94457i 0.243937 0.631637i
\(40\) 0.554035 2.16634i 0.0876006 0.342529i
\(41\) −2.09732 + 3.63266i −0.327546 + 0.567327i −0.982024 0.188754i \(-0.939555\pi\)
0.654478 + 0.756081i \(0.272888\pi\)
\(42\) 2.33400 0.364808i 0.360144 0.0562911i
\(43\) −8.08295 4.66669i −1.23264 0.711664i −0.265059 0.964232i \(-0.585391\pi\)
−0.967579 + 0.252568i \(0.918725\pi\)
\(44\) −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 \(0.597375\pi\)
\(48\) −1.71127 + 0.267475i −0.247001 + 0.0386067i
\(49\) 5.13978 0.734255
\(50\) −2.59824 4.27190i −0.367446 0.604139i
\(51\) −6.79339 + 1.06182i −0.951264 + 0.148684i
\(52\) 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 \(0.164737\pi\)
\(54\) 5.18728 + 0.303579i 0.705899 + 0.0413119i
\(55\) −2.80786 + 10.9791i −0.378612 + 1.48042i
\(56\) 1.36390 0.182258
\(57\) 6.82400 3.23002i 0.903861 0.427826i
\(58\) 4.73539i 0.621787i
\(59\) −0.294619 + 0.510294i −0.0383561 + 0.0664347i −0.884566 0.466415i \(-0.845545\pi\)
0.846210 + 0.532849i \(0.178879\pi\)
\(60\) −2.24697 + 3.15454i −0.290083 + 0.407249i
\(61\) 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
\(63\) −3.99879 0.866972i −0.503800 0.109228i
\(64\) −1.00000 −0.125000
\(65\) −1.47301 5.25650i −0.182705 0.651989i
\(66\) 8.67278 1.35557i 1.06754 0.166859i
\(67\) 5.50663 + 9.53776i 0.672742 + 1.16522i 0.977124 + 0.212673i \(0.0682168\pi\)
−0.304382 + 0.952550i \(0.598450\pi\)
\(68\) −3.96978 −0.481407
\(69\) 3.92508 10.1634i 0.472524 1.22353i
\(70\) 2.13174 2.18100i 0.254792 0.260679i
\(71\) 5.35146 9.26899i 0.635101 1.10003i −0.351393 0.936228i \(-0.614292\pi\)
0.986494 0.163799i \(-0.0523749\pi\)
\(72\) 2.93188 + 0.635658i 0.345526 + 0.0749130i
\(73\) 6.55246 + 3.78306i 0.766908 + 0.442774i 0.831770 0.555120i \(-0.187328\pi\)
−0.0648628 + 0.997894i \(0.520661\pi\)
\(74\) −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
\(78\) −3.29158 + 2.65441i −0.372698 + 0.300552i
\(79\) −6.44300 3.71987i −0.724894 0.418518i 0.0916575 0.995791i \(-0.470783\pi\)
−0.816551 + 0.577273i \(0.804117\pi\)
\(80\) −1.56298 + 1.59909i −0.174746 + 0.178784i
\(81\) −8.19188 3.72735i −0.910209 0.414150i
\(82\) 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
\(85\) −6.20469 + 6.34805i −0.672994 + 0.688542i
\(86\) 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 0.607461 0.794350i \(-0.292188\pi\)
−0.991657 + 0.128902i \(0.958855\pi\)
\(90\) 5.59895 3.69483i 0.590181 0.389469i
\(91\) 2.88363 1.66486i 0.302287 0.174525i
\(92\) 3.14511 5.44749i 0.327900 0.567940i
\(93\) 11.2275 9.05410i 1.16423 0.938866i
\(94\) 9.25839i 0.954930i
\(95\) 4.56075 8.61392i 0.467923 0.883769i
\(96\) 1.61574 + 0.623997i 0.164906 + 0.0636864i
\(97\) 5.42307 9.39303i 0.550629 0.953718i −0.447600 0.894234i \(-0.647721\pi\)
0.998229 0.0594842i \(-0.0189456\pi\)
\(98\) −4.45118 2.56989i −0.449638 0.259598i
\(99\) −14.8589 3.22153i −1.49337 0.323776i
\(100\) 0.114186 + 4.99870i 0.0114186 + 0.499870i
\(101\) 12.4759 7.20295i 1.24140 0.716720i 0.272018 0.962292i \(-0.412309\pi\)
0.969378 + 0.245572i \(0.0789757\pi\)
\(102\) 6.41415 + 2.47713i 0.635096 + 0.245273i
\(103\) −1.39554 −0.137506 −0.0687532 0.997634i \(-0.521902\pi\)
−0.0687532 + 0.997634i \(0.521902\pi\)
\(104\) −2.11426 + 1.22067i −0.207320 + 0.119696i
\(105\) −4.80529 + 2.19373i −0.468948 + 0.214086i
\(106\) −7.35643 −0.714520
\(107\) 13.5423i 1.30919i 0.755981 + 0.654593i \(0.227160\pi\)
−0.755981 + 0.654593i \(0.772840\pi\)
\(108\) −4.34052 2.85655i −0.417667 0.274871i
\(109\) −1.72498 0.995917i −0.165223 0.0953916i 0.415108 0.909772i \(-0.363744\pi\)
−0.580331 + 0.814380i \(0.697077\pi\)
\(110\) 7.92122 8.10423i 0.755259 0.772708i
\(111\) 3.77990 + 4.68724i 0.358772 + 0.444893i
\(112\) −1.18117 0.681949i −0.111610 0.0644381i
\(113\) 9.35520i 0.880063i 0.897982 + 0.440032i \(0.145033\pi\)
−0.897982 + 0.440032i \(0.854967\pi\)
\(114\) −7.52477 0.614724i −0.704759 0.0575742i
\(115\) −3.79529 13.5436i −0.353913 1.26295i
\(116\) −2.36769 + 4.10097i −0.219835 + 0.380765i
\(117\) 6.97468 2.23491i 0.644810 0.206617i
\(118\) 0.510294 0.294619i 0.0469764 0.0271218i
\(119\) −4.68899 2.70719i −0.429839 0.248168i
\(120\) 3.52320 1.60843i 0.321623 0.146829i
\(121\) −14.6849 −1.33499
\(122\) 7.12041i 0.644651i
\(123\) −7.17818 + 1.12196i −0.647234 + 0.101164i
\(124\) 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 \(-0.982664\pi\)
0.452117 0.891959i \(-0.350669\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −2.49645 15.9720i −0.219800 1.40625i
\(130\) −1.35258 + 5.28877i −0.118630 + 0.463856i
\(131\) −18.6976 10.7951i −1.63362 0.943170i −0.982964 0.183797i \(-0.941161\pi\)
−0.650655 0.759374i \(-0.725506\pi\)
\(132\) −8.18863 3.16243i −0.712729 0.275254i
\(133\) 5.77952 + 1.39329i 0.501148 + 0.120813i
\(134\) 11.0133i 0.951400i
\(135\) −11.3520 + 2.47617i −0.977027 + 0.213115i
\(136\) 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 \(0.922670\pi\)
\(138\) −8.48091 + 6.83921i −0.721943 + 0.582192i
\(139\) −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
\(147\) 5.58837 + 6.92981i 0.460921 + 0.571561i
\(148\) 1.73824 + 3.01072i 0.142883 + 0.247480i
\(149\) −14.5597 8.40607i −1.19278 0.688652i −0.233844 0.972274i \(-0.575131\pi\)
−0.958936 + 0.283622i \(0.908464\pi\)
\(150\) 2.93467 8.14786i 0.239615 0.665270i
\(151\) 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
\(155\) 4.61362 18.0398i 0.370575 1.44899i
\(156\) 4.17779 0.652996i 0.334491 0.0522815i
\(157\) −0.0466968 0.0269604i −0.00372681 0.00215167i 0.498135 0.867099i \(-0.334018\pi\)
−0.501862 + 0.864948i \(0.667352\pi\)
\(158\) 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
\(162\) 5.23070 + 7.32392i 0.410963 + 0.575421i
\(163\) 19.2029i 1.50409i −0.659111 0.752045i \(-0.729067\pi\)
0.659111 0.752045i \(-0.270933\pi\)
\(164\) −4.19464 −0.327546
\(165\) −17.8557 + 8.15155i −1.39006 + 0.634597i
\(166\) −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 \(0.329179\pi\)
\(168\) 1.48293 + 1.83890i 0.114411 + 0.141874i
\(169\) 3.51994 6.09672i 0.270765 0.468978i
\(170\) 8.54745 2.39522i 0.655559 0.183705i
\(171\) 11.7745 + 5.68867i 0.900419 + 0.435023i
\(172\) 9.33338i 0.711664i
\(173\) 5.13617 + 2.96537i 0.390496 + 0.225453i 0.682375 0.731002i \(-0.260947\pi\)
−0.291879 + 0.956455i \(0.594280\pi\)
\(174\) 6.38457 5.14868i 0.484013 0.390320i
\(175\) −3.27398 + 5.98218i −0.247490 + 0.452210i
\(176\) −4.38904 2.53401i −0.330836 0.191008i
\(177\) −1.00835 + 0.157606i −0.0757919 + 0.0118464i
\(178\) 7.24900i 0.543336i
\(179\) 15.4657 1.15596 0.577979 0.816052i \(-0.303841\pi\)
0.577979 + 0.816052i \(0.303841\pi\)
\(180\) −6.69625 + 0.400340i −0.499109 + 0.0298396i
\(181\) 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
\(185\) 7.53126 + 1.92609i 0.553709 + 0.141609i
\(186\) −14.2503 + 2.22735i −1.04488 + 0.163317i
\(187\) −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
\(190\) −8.25668 + 5.17949i −0.599003 + 0.375760i
\(191\) 3.72983i 0.269881i 0.990854 + 0.134941i \(0.0430844\pi\)
−0.990854 + 0.134941i \(0.956916\pi\)
\(192\) −1.08728 1.34827i −0.0784675 0.0973029i
\(193\) 1.12403 1.94688i 0.0809094 0.140139i −0.822731 0.568430i \(-0.807551\pi\)
0.903641 + 0.428291i \(0.140884\pi\)
\(194\) −9.39303 + 5.42307i −0.674381 + 0.389354i
\(195\) 5.48561 7.70129i 0.392832 0.551501i
\(196\) 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 \(-0.346351\pi\)
\(200\) 2.40046 4.38609i 0.169738 0.310143i
\(201\) −6.87223 + 17.7946i −0.484730 + 1.25513i
\(202\) −14.4059 −1.01360
\(203\) −5.59329 + 3.22929i −0.392572 + 0.226652i
\(204\) −4.31625 5.35234i −0.302198 0.374738i
\(205\) −6.55614 + 6.70761i −0.457901 + 0.468480i
\(206\) 1.20857 + 0.697768i 0.0842051 + 0.0486158i
\(207\) 17.9706 5.75835i 1.24904 0.400233i
\(208\) 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
\(213\) 18.3156 2.86276i 1.25497 0.196153i
\(214\) 6.77117 11.7280i 0.462867 0.801710i
\(215\) −14.9249 14.5879i −1.01787 0.994886i
\(216\) 2.33073 + 4.64410i 0.158586 + 0.315991i
\(217\) 11.3576 0.771004
\(218\) 0.995917 + 1.72498i 0.0674520 + 0.116830i
\(219\) 2.02375 + 12.9477i 0.136752 + 0.874926i
\(220\) −10.9121 + 3.05786i −0.735693 + 0.206161i
\(221\) 9.69157 0.651926
\(222\) −0.929872 5.94921i −0.0624090 0.399285i
\(223\) −7.23465 + 12.5308i −0.484468 + 0.839123i −0.999841 0.0178430i \(-0.994320\pi\)
0.515373 + 0.856966i \(0.327653\pi\)
\(224\) 0.681949 + 1.18117i 0.0455646 + 0.0789202i
\(225\) −9.82592 + 11.3336i −0.655061 + 0.755576i
\(226\) 4.67760 8.10184i 0.311149 0.538926i
\(227\) 7.77481i 0.516032i −0.966141 0.258016i \(-0.916931\pi\)
0.966141 0.258016i \(-0.0830687\pi\)
\(228\) 6.20928 + 4.29475i 0.411219 + 0.284427i
\(229\) 12.1628 0.803743 0.401872 0.915696i \(-0.368360\pi\)
0.401872 + 0.915696i \(0.368360\pi\)
\(230\) −3.48500 + 13.6268i −0.229794 + 0.898523i
\(231\) −7.51554 9.31959i −0.494486 0.613184i
\(232\) 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 \(0.0768780\pi\)
\(234\) −7.15771 1.55185i −0.467914 0.101448i
\(235\) 5.58617 + 19.9345i 0.364402 + 1.30038i
\(236\) −0.589237 −0.0383561
\(237\) −1.98994 12.7314i −0.129261 0.826994i
\(238\) 2.70719 + 4.68899i 0.175481 + 0.303942i
\(239\) 0.321143i 0.0207730i 0.999946 + 0.0103865i \(0.00330619\pi\)
−0.999946 + 0.0103865i \(0.996694\pi\)
\(240\) −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
\(243\) −3.88137 15.0975i −0.248990 0.968506i
\(244\) −3.56020 + 6.16645i −0.227919 + 0.394767i
\(245\) 11.1345 + 2.84762i 0.711360 + 0.181928i
\(246\) 6.77746 + 2.61744i 0.432115 + 0.166882i
\(247\) −10.2061 + 3.01276i −0.649402 + 0.191698i
\(248\) −8.32731 −0.528785
\(249\) 11.0540 + 13.7074i 0.700520 + 0.868674i
\(250\) −3.26189 10.6939i −0.206300 0.676343i
\(251\) −11.2207 + 6.47825i −0.708242 + 0.408904i −0.810410 0.585864i \(-0.800755\pi\)
0.102168 + 0.994767i \(0.467422\pi\)
\(252\) −1.24857 3.89654i −0.0786528 0.245459i
\(253\) 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
\(260\) 3.81576 3.90392i 0.236643 0.242111i
\(261\) −13.5286 + 4.33499i −0.837399 + 0.268329i
\(262\) 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 \(0.0976702\pi\)
\(264\) 5.51035 + 6.83306i 0.339138 + 0.420546i
\(265\) 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 −0.529171 0.848515i \(-0.677497\pi\)
0.999421 + 0.0340183i \(0.0108304\pi\)
\(270\) 11.0692 + 3.53159i 0.673652 + 0.214926i
\(271\) −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
\(275\) −12.1656 + 22.2288i −0.733613 + 1.34045i
\(276\) 10.7643 1.68248i 0.647934 0.101273i
\(277\) 21.4127i 1.28657i 0.765629 + 0.643283i \(0.222428\pi\)
−0.765629 + 0.643283i \(0.777572\pi\)
\(278\) 1.17263i 0.0703297i
\(279\) 24.4147 + 5.29332i 1.46167 + 0.316903i
\(280\) 2.95467 + 0.755647i 0.176575 + 0.0451585i
\(281\) −7.90099 13.6849i −0.471333 0.816374i 0.528129 0.849164i \(-0.322894\pi\)
−0.999462 + 0.0327908i \(0.989560\pi\)
\(282\) 12.4828 10.0664i 0.743339 0.599447i
\(283\) −5.08966 2.93851i −0.302549 0.174677i 0.341039 0.940049i \(-0.389221\pi\)
−0.643587 + 0.765373i \(0.722555\pi\)
\(284\) 10.7029 0.635101
\(285\) 16.5727 3.21659i 0.981680 0.190535i
\(286\) −12.3727 −0.731616
\(287\) −4.95458 2.86053i −0.292460 0.168852i
\(288\) 0.915446 + 2.85691i 0.0539432 + 0.168345i
\(289\) 0.620408 + 1.07458i 0.0364946 + 0.0632104i
\(290\) 2.62357 10.2585i 0.154061 0.602398i
\(291\) 18.5607 2.90107i 1.08805 0.170064i
\(292\) 7.56613i 0.442774i
\(293\) 9.50600i 0.555346i −0.960676 0.277673i \(-0.910437\pi\)
0.960676 0.277673i \(-0.0895633\pi\)
\(294\) −1.37476 8.79558i −0.0801779 0.512969i
\(295\) −0.920966 + 0.942244i −0.0536207 + 0.0548596i
\(296\) 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
\(300\) −6.61543 + 5.58892i −0.381942 + 0.322676i
\(301\) 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
\(306\) 3.63412 + 11.3413i 0.207749 + 0.648341i
\(307\) −6.33092 + 10.9655i −0.361325 + 0.625833i −0.988179 0.153304i \(-0.951009\pi\)
0.626855 + 0.779136i \(0.284342\pi\)
\(308\) −3.45613 5.98620i −0.196931 0.341095i
\(309\) −1.51733 1.88156i −0.0863182 0.107038i
\(310\) −13.0154 + 13.3161i −0.739227 + 0.756306i
\(311\) 32.0007i 1.81459i 0.420494 + 0.907296i \(0.361857\pi\)
−0.420494 + 0.907296i \(0.638143\pi\)
\(312\) −3.94457 1.52338i −0.223317 0.0862447i
\(313\) −15.0164 + 8.66973i −0.848778 + 0.490042i −0.860238 0.509892i \(-0.829685\pi\)
0.0114606 + 0.999934i \(0.496352\pi\)
\(314\) 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 \(0.442365\pi\)
\(318\) −7.99848 9.91844i −0.448532 0.556199i
\(319\) −20.7838 + 11.9995i −1.16367 + 0.671845i
\(320\) −2.16634 0.554035i −0.121102 0.0309715i
\(321\) −18.2587 + 14.7243i −1.01910 + 0.821828i
\(322\) −8.57921 −0.478101
\(323\) 12.5406 + 11.9230i 0.697777 + 0.663414i
\(324\) −0.867960 8.95805i −0.0482200 0.497669i
\(325\) −0.278766 12.2035i −0.0154632 0.676928i
\(326\) −9.60147 + 16.6302i −0.531776 + 0.921064i
\(327\) −0.532766 3.40857i −0.0294620 0.188495i
\(328\) 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
\(333\) −2.20985 + 10.1926i −0.121099 + 0.558553i
\(334\) −0.337320 −0.0184573
\(335\) 6.64500 + 23.7129i 0.363055 + 1.29558i
\(336\) −0.364808 2.33400i −0.0199019 0.127330i
\(337\) 2.17542 3.76794i 0.118503 0.205253i −0.800672 0.599103i \(-0.795524\pi\)
0.919175 + 0.393850i \(0.128857\pi\)
\(338\) −6.09672 + 3.51994i −0.331618 + 0.191460i
\(339\) −12.6133 + 10.1717i −0.685062 + 0.552450i
\(340\) −8.59992 2.19940i −0.466396 0.119279i
\(341\) 42.2030 2.28542
\(342\) −7.35269 10.8138i −0.397588 0.584742i
\(343\) 16.5574i 0.894016i
\(344\) −4.66669 + 8.08295i −0.251611 + 0.435803i
\(345\) 14.1339 19.8428i 0.760945 1.06830i
\(346\) −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 \(0.175298\pi\)
\(348\) −8.10354 + 1.26660i −0.434395 + 0.0678968i
\(349\) 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
\(351\) 10.5967 + 6.97378i 0.565609 + 0.372233i
\(352\) 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
\(355\) 16.7284 17.1149i 0.887853 0.908366i
\(356\) 3.62450 6.27782i 0.192098 0.332724i
\(357\) −1.44821 9.26548i −0.0766474 0.490381i
\(358\) −13.3937 7.73283i −0.707877 0.408693i
\(359\) −29.3938 16.9705i −1.55134 0.895668i −0.998033 0.0626932i \(-0.980031\pi\)
−0.553310 0.832975i \(-0.686636\pi\)
\(360\) 5.99929 + 3.00142i 0.316190 + 0.158189i
\(361\) −16.9129 8.65764i −0.890151 0.455665i
\(362\) −15.0798 −0.792577
\(363\) −15.9665 19.7991i −0.838025 1.03919i
\(364\) 2.88363 + 1.66486i 0.151143 + 0.0872626i
\(365\) 12.0989 + 11.8257i 0.633287 + 0.618986i
\(366\) 9.60023 7.74186i 0.501812 0.404673i
\(367\) 6.59509 3.80768i 0.344261 0.198759i −0.317894 0.948126i \(-0.602976\pi\)
0.662155 + 0.749367i \(0.269642\pi\)
\(368\) 6.29022 0.327900
\(369\) −9.31737 8.45823i −0.485043 0.440318i
\(370\) −5.55922 5.43368i −0.289010 0.282483i
\(371\) 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 \(-0.562860\pi\)
−0.196201 + 0.980564i \(0.562860\pi\)
\(374\) 10.0595 + 17.4235i 0.520163 + 0.900949i
\(375\) −1.40260 + 19.3141i −0.0724299 + 0.997374i
\(376\) 8.01800 4.62919i 0.413497 0.238732i
\(377\) 5.78033 10.0118i 0.297702 0.515635i
\(378\) −0.414051 + 7.07491i −0.0212965 + 0.363894i
\(379\) 6.21526i 0.319257i 0.987177 + 0.159628i \(0.0510296\pi\)
−0.987177 + 0.159628i \(0.948970\pi\)
\(380\) 9.74025 0.357231i 0.499664 0.0183256i
\(381\) 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 \(0.689939\pi\)
\(384\) 0.267475 + 1.71127i 0.0136495 + 0.0873281i
\(385\) −14.9743 3.82963i −0.763163 0.195176i
\(386\) −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 −0.335224 0.942138i \(-0.608812\pi\)
0.648304 + 0.761382i \(0.275479\pi\)
\(390\) −8.60132 + 3.92671i −0.435545 + 0.198837i
\(391\) 24.9708 1.26283
\(392\) 5.13978i 0.259598i
\(393\) −5.77483 36.9467i −0.291301 1.86371i
\(394\) 21.4067 + 12.3591i 1.07845 + 0.622645i
\(395\) −11.8968 11.6282i −0.598593 0.585076i
\(396\) −4.63950 14.4789i −0.233144 0.727593i
\(397\) 17.6120 + 10.1683i 0.883921 + 0.510332i 0.871949 0.489596i \(-0.162856\pi\)
0.0119721 + 0.999928i \(0.496189\pi\)
\(398\) 15.0939i 0.756588i
\(399\) 4.40541 + 9.30724i 0.220546 + 0.465945i
\(400\) −4.27190 + 2.59824i −0.213595 + 0.129912i
\(401\) −12.7015 + 21.9996i −0.634282 + 1.09861i 0.352384 + 0.935855i \(0.385371\pi\)
−0.986667 + 0.162754i \(0.947962\pi\)
\(402\) 14.8488 11.9745i 0.740592 0.597232i
\(403\) −17.6061 + 10.1649i −0.877022 + 0.506349i
\(404\) 12.4759 + 7.20295i 0.620698 + 0.358360i
\(405\) −15.6813 12.6133i −0.779212 0.626760i
\(406\) 6.45858 0.320534
\(407\) 17.6189i 0.873337i
\(408\) 1.06182 + 6.79339i 0.0525678 + 0.336323i
\(409\) −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
\(414\) −18.4422 3.99843i −0.906384 0.196512i
\(415\) 22.0246 + 5.63270i 1.08114 + 0.276499i
\(416\) −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 \(-0.893554\pi\)
0.944605 0.328210i \(-0.106446\pi\)
\(420\) −4.30247 3.06464i −0.209939 0.149539i
\(421\) −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
\(423\) −26.4504 + 8.47555i −1.28606 + 0.412095i
\(424\) −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 \(-0.981993\pi\)
0.450234 0.892911i \(-0.351341\pi\)
\(432\) 0.303579 5.18728i 0.0146060 0.249573i
\(433\) −10.3152 17.8664i −0.495715 0.858603i 0.504273 0.863544i \(-0.331760\pi\)
−0.999988 + 0.00494124i \(0.998427\pi\)
\(434\) −9.83597 5.67880i −0.472142 0.272591i
\(435\) −10.6403 + 14.9380i −0.510162 + 0.716221i
\(436\) 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 \(0.878368\pi\)
\(440\) 10.9791 + 2.80786i 0.523407 + 0.133860i
\(441\) −3.26714 + 15.0692i −0.155578 + 0.717583i
\(442\) −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
\(447\) −4.49683 28.7702i −0.212693 1.36078i
\(448\) 1.36390i 0.0644381i
\(449\) 7.37904 0.348239 0.174119 0.984725i \(-0.444292\pi\)
0.174119 + 0.984725i \(0.444292\pi\)
\(450\) 14.1763 4.90225i 0.668278 0.231094i
\(451\) −18.4104 10.6293i −0.866913 0.500513i
\(452\) −8.10184 + 4.67760i −0.381079 + 0.220016i
\(453\) 0.651933 0.525735i 0.0306305 0.0247012i
\(454\) −3.88740 + 6.73318i −0.182445 + 0.316004i
\(455\) 7.16933 2.00904i 0.336103 0.0941851i
\(456\) −3.23002 6.82400i −0.151259 0.319563i
\(457\) 11.9340i 0.558248i 0.960255 + 0.279124i \(0.0900440\pi\)
−0.960255 + 0.279124i \(0.909956\pi\)
\(458\) −10.5333 6.08142i −0.492190 0.284166i
\(459\) 1.20514 20.5924i 0.0562513 0.961169i
\(460\) 9.83149 10.0586i 0.458395 0.468986i
\(461\) 4.47752 + 2.58510i 0.208539 + 0.120400i 0.600632 0.799526i \(-0.294916\pi\)
−0.392093 + 0.919925i \(0.628249\pi\)
\(462\) 1.84886 + 11.8288i 0.0860166 + 0.550324i
\(463\) 18.3128i 0.851068i 0.904942 + 0.425534i \(0.139914\pi\)
−0.904942 + 0.425534i \(0.860086\pi\)
\(464\) −4.73539 −0.219835
\(465\) 29.3388 13.3939i 1.36056 0.621126i
\(466\) −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
\(470\) 5.12947 20.0568i 0.236605 0.925153i
\(471\) −0.0144225 0.0922732i −0.000664552 0.00425173i
\(472\) 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
\(475\) 14.6526 16.1339i 0.672306 0.740274i
\(476\) 5.41438i 0.248168i
\(477\) 6.73441 + 21.0167i 0.308348 + 0.962288i
\(478\) 0.160572 0.278118i 0.00734437 0.0127208i
\(479\) −2.03089 + 1.17253i −0.0927936 + 0.0535744i −0.545679 0.837994i \(-0.683728\pi\)
0.452885 + 0.891569i \(0.350395\pi\)
\(480\) 3.15454 + 2.24697i 0.143984 + 0.102560i
\(481\) −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
\(485\) 16.9523 17.3440i 0.769765 0.787549i
\(486\) −4.18739 + 15.0155i −0.189944 + 0.681118i
\(487\) 38.4769 1.74355 0.871777 0.489903i \(-0.162968\pi\)
0.871777 + 0.489903i \(0.162968\pi\)
\(488\) 6.16645 3.56020i 0.279142 0.161163i
\(489\) 25.8907 20.8789i 1.17082 0.944177i
\(490\) −8.21899 8.03338i −0.371296 0.362911i
\(491\) −33.6488 19.4272i −1.51855 0.876735i −0.999762 0.0218329i \(-0.993050\pi\)
−0.518789 0.854903i \(-0.673617\pi\)
\(492\) −4.56074 5.65550i −0.205614 0.254970i
\(493\) −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
\(498\) −2.71934 17.3980i −0.121856 0.779623i
\(499\) 1.77310 3.07110i 0.0793749 0.137481i −0.823605 0.567163i \(-0.808041\pi\)
0.902980 + 0.429682i \(0.141374\pi\)
\(500\) −2.52209 + 10.8922i −0.112791 + 0.487112i
\(501\) 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 \(0.833703\pi\)
\(504\) −0.866972 + 3.99879i −0.0386180 + 0.178120i
\(505\) 31.0177 8.69200i 1.38027 0.386789i
\(506\) −31.8790 −1.41719
\(507\) 12.0472 1.88299i 0.535033 0.0836266i
\(508\) 6.15762 10.6653i 0.273200 0.473196i
\(509\) 5.84914 + 10.1310i 0.259259 + 0.449049i 0.966044 0.258379i \(-0.0831885\pi\)
−0.706785 + 0.707428i \(0.749855\pi\)
\(510\) 12.5228 + 8.91998i 0.554521 + 0.394984i
\(511\) −5.15971 + 8.93688i −0.228252 + 0.395344i
\(512\) 1.00000i 0.0441942i
\(513\) 5.13230 + 22.0604i 0.226597 + 0.973989i
\(514\) 11.0305 0.486533
\(515\) −3.02321 0.773176i −0.133219 0.0340702i
\(516\) 12.5839 10.1480i 0.553976 0.446740i
\(517\) −40.6354 + 23.4609i −1.78714 + 1.03181i
\(518\) 2.37078 4.10632i 0.104166 0.180421i
\(519\) 1.58632 + 10.1491i 0.0696319 + 0.445497i
\(520\) −5.25650 + 1.47301i −0.230513 + 0.0645959i
\(521\) 3.72071 0.163007 0.0815037 0.996673i \(-0.474028\pi\)
0.0815037 + 0.996673i \(0.474028\pi\)
\(522\) 13.8836 + 3.01009i 0.607669 + 0.131748i
\(523\) 4.81021 + 8.33153i 0.210336 + 0.364312i 0.951820 0.306658i \(-0.0992109\pi\)
−0.741484 + 0.670971i \(0.765878\pi\)
\(524\) 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
\(528\) −1.35557 8.67278i −0.0589936 0.377434i
\(529\) −8.28343 + 14.3473i −0.360149 + 0.623797i
\(530\) −15.9366 4.07572i −0.692240 0.177038i
\(531\) −1.30885 1.18816i −0.0567991 0.0515617i
\(532\) 1.68314 + 5.70185i 0.0729732 + 0.247207i
\(533\) 10.2405 0.443566
\(534\) −9.77361 + 7.88168i −0.422945 + 0.341073i
\(535\) −7.50293 + 29.3374i −0.324380 + 1.26836i
\(536\) 9.53776 5.50663i 0.411968 0.237850i
\(537\) 16.8155 + 20.8519i 0.725641 + 0.899825i
\(538\) −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
\(545\) −3.18513 3.11320i −0.136436 0.133355i
\(546\) −3.62034 4.48937i −0.154936 0.192127i
\(547\) −18.7690 32.5089i −0.802505 1.38998i −0.917963 0.396667i \(-0.870167\pi\)
0.115458 0.993312i \(-0.463166\pi\)
\(548\) 3.24209 5.61546i 0.138495 0.239881i
\(549\) −20.3424 + 6.51835i −0.868192 + 0.278196i
\(550\) 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
\(555\) 5.59167 + 12.2484i 0.237353 + 0.519914i
\(556\) 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
\(560\) −2.18100 2.13174i −0.0921639 0.0900826i
\(561\) −5.38132 34.4290i −0.227199 1.45360i
\(562\) 15.8020i 0.666566i
\(563\) 41.2966i 1.74044i −0.492661 0.870221i \(-0.663976\pi\)
0.492661 0.870221i \(-0.336024\pi\)
\(564\) −15.8436 + 2.47639i −0.667137 + 0.104275i
\(565\) −5.18311 + 20.2666i −0.218055 + 0.852621i
\(566\) 2.93851 + 5.08966i 0.123515 + 0.213934i
\(567\) 5.08372 11.1729i 0.213496 0.469217i
\(568\) −9.26899 5.35146i −0.388918 0.224542i
\(569\) 35.3619 1.48245 0.741224 0.671258i \(-0.234246\pi\)
0.741224 + 0.671258i \(0.234246\pi\)
\(570\) −15.9607 5.50069i −0.668518 0.230398i
\(571\) 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
\(573\) −5.02882 + 4.05536i −0.210082 + 0.169415i
\(574\) 2.86053 + 4.95458i 0.119396 + 0.206800i
\(575\) −0.718255 31.4429i −0.0299533 1.31126i
\(576\) 0.635658 2.93188i 0.0264857 0.122162i
\(577\) 13.3398i 0.555341i 0.960676 + 0.277671i \(0.0895624\pi\)
−0.960676 + 0.277671i \(0.910438\pi\)
\(578\) 1.24082i 0.0516111i
\(579\) 3.84704 0.601300i 0.159878 0.0249892i
\(580\) −7.40132 + 7.57232i −0.307323 + 0.314423i
\(581\) 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
\(585\) 16.3478 0.977364i 0.675898 0.0404090i
\(586\) −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
\(591\) −26.8756 33.3269i −1.10552 1.37089i
\(592\) −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 \(0.664568\pi\)
\(594\) −1.53855 + 26.2892i −0.0631273 + 1.07866i
\(595\) −8.65808 8.46256i −0.354947 0.346931i
\(596\) 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 0.986323 0.164822i \(-0.0527051\pi\)
−0.635902 + 0.771770i \(0.719372\pi\)
\(600\) 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
\(603\) −31.4639 + 10.0820i −1.28131 + 0.410572i
\(604\) 0.418752 0.241767i 0.0170388 0.00983735i
\(605\) −31.8125 8.13593i −1.29336 0.330773i
\(606\) −15.6632 19.4230i −0.636274 0.789007i
\(607\) 14.9609 0.607242 0.303621 0.952793i \(-0.401804\pi\)
0.303621 + 0.952793i \(0.401804\pi\)
\(608\) −1.23406 4.18056i −0.0500479 0.169544i
\(609\) −10.4354 4.03013i −0.422864 0.163309i
\(610\) 3.94495 15.4253i 0.159727 0.624550i
\(611\) 11.3014 19.5746i 0.457206 0.791904i
\(612\) 2.52342 11.6389i 0.102003 0.470476i
\(613\) 33.9142 + 19.5804i 1.36978 + 0.790844i 0.990900 0.134600i \(-0.0429750\pi\)
0.378883 + 0.925445i \(0.376308\pi\)
\(614\) 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 \(-0.373594\pi\)
\(618\) 0.373271 + 2.38815i 0.0150152 + 0.0960653i
\(619\) 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
\(621\) 27.3028 + 17.9683i 1.09563 + 0.721043i
\(622\) 16.0003 27.7134i 0.641555 1.11121i
\(623\) 8.56230 4.94345i 0.343041 0.198055i
\(624\) 2.65441 + 3.29158i 0.106261 + 0.131768i
\(625\) 13.4756 + 21.0573i 0.539023 + 0.842291i
\(626\) 17.3395 0.693024
\(627\) 16.3698 + 34.5842i 0.653747 + 1.38116i
\(628\) 0.0539208i 0.00215167i
\(629\) −6.90045 + 11.9519i −0.275139 + 0.476554i
\(630\) 5.03937 + 7.63639i 0.200773 + 0.304241i
\(631\) 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
\(633\) 5.33485 + 34.1318i 0.212041 + 1.35662i
\(634\) 11.9602 0.474999
\(635\) −7.43056 26.5163i −0.294873 1.05227i
\(636\) 1.96766 + 12.5889i 0.0780228 + 0.499181i
\(637\) −6.27397 10.8668i −0.248584 0.430560i
\(638\) 23.9991 0.950132
\(639\) 23.7739 + 21.5818i 0.940481 + 0.853761i
\(640\) 1.59909 + 1.56298i 0.0632096 + 0.0617822i
\(641\) −9.01119 + 15.6078i −0.355921 + 0.616473i −0.987275 0.159022i \(-0.949166\pi\)
0.631354 + 0.775494i \(0.282499\pi\)
\(642\) 23.1746 3.62224i 0.914630 0.142958i
\(643\) −28.9629 16.7217i −1.14218 0.659440i −0.195213 0.980761i \(-0.562540\pi\)
−0.946970 + 0.321321i \(0.895873\pi\)
\(644\) 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 \(0.180919\pi\)
\(648\) −3.72735 + 8.19188i −0.146424 + 0.321807i
\(649\) −2.58618 1.49313i −0.101517 0.0586106i
\(650\) −5.86033 + 10.7079i −0.229861 + 0.419999i
\(651\) 12.3489 + 15.3131i 0.483990 + 0.600168i
\(652\) 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
\(655\) −34.5246 33.7450i −1.34899 1.31853i
\(656\) −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 0.686116 0.727492i \(-0.259314\pi\)
−0.973085 + 0.230448i \(0.925981\pi\)
\(660\) −15.9873 11.3877i −0.622304 0.443265i
\(661\) −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
\(663\) 10.5374 + 13.0668i 0.409240 + 0.507474i
\(664\) 10.1667i 0.394544i
\(665\) 11.7485 + 6.22040i 0.455587 + 0.241217i
\(666\) 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
\(669\) −24.7609 + 3.87017i −0.957313 + 0.149630i
\(670\) 6.10173 23.8585i 0.235730 0.921734i
\(671\) −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 \(-0.633791\pi\)
−0.408050 + 0.912960i \(0.633791\pi\)
\(674\) −3.76794 + 2.17542i −0.145136 + 0.0837941i
\(675\) −25.9643 0.925185i −0.999366 0.0356104i
\(676\) 7.03988 0.270765
\(677\) 8.33346i 0.320281i 0.987094 + 0.160140i \(0.0511947\pi\)
−0.987094 + 0.160140i \(0.948805\pi\)
\(678\) 16.0093 2.50228i 0.614834 0.0960995i
\(679\) 12.8111 + 7.39651i 0.491646 + 0.283852i
\(680\) 6.34805 + 6.20469i 0.243436 + 0.237939i
\(681\) 10.4825 8.45337i 0.401691 0.323934i
\(682\) −36.5489 21.1015i −1.39953 0.808019i
\(683\) 1.85318i 0.0709099i −0.999371 0.0354550i \(-0.988712\pi\)
0.999371 0.0354550i \(-0.0112880\pi\)
\(684\) 0.960726 + 13.0414i 0.0367343 + 0.498649i
\(685\) −3.91231 13.9612i −0.149482 0.533432i
\(686\) 8.27871 14.3391i 0.316083 0.547471i
\(687\) 13.2244 + 16.3988i 0.504542 + 0.625653i
\(688\) 8.08295 4.66669i 0.308159 0.177916i
\(689\) −15.5534 8.97975i −0.592537 0.342101i
\(690\) −22.1617 + 10.1174i −0.843682 + 0.385161i
\(691\) 2.74537 0.104439 0.0522195 0.998636i \(-0.483370\pi\)
0.0522195 + 0.998636i \(0.483370\pi\)
\(692\) 5.93074i 0.225453i
\(693\) 4.39383 20.2659i 0.166908 0.769840i
\(694\) 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
\(699\) 14.5420 2.27294i 0.550029 0.0859705i
\(700\) −6.81771 + 0.155738i −0.257685 + 0.00588634i
\(701\) −15.0883 8.71122i −0.569876 0.329018i 0.187224 0.982317i \(-0.440051\pi\)
−0.757100 + 0.653299i \(0.773384\pi\)
\(702\) −5.69010 11.3378i −0.214759 0.427918i
\(703\) 3.55140 14.7316i 0.133944 0.555613i
\(704\) 5.06802i 0.191008i
\(705\) −20.8033 + 29.2060i −0.783498 + 1.09996i
\(706\) −7.90644 4.56479i −0.297563 0.171798i
\(707\) 9.82408 + 17.0158i 0.369473 + 0.639946i
\(708\) −0.640664 0.794450i −0.0240776 0.0298573i
\(709\) 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
\(717\) −0.432987 + 0.349172i −0.0161702 + 0.0130401i
\(718\) 16.9705 + 29.3938i 0.633333 + 1.09697i
\(719\) −8.06657 4.65724i −0.300832 0.173686i 0.341984 0.939706i \(-0.388901\pi\)
−0.642817 + 0.766020i \(0.722234\pi\)
\(720\) −3.69483 5.59895i −0.137698 0.208661i
\(721\) 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
\(725\) 0.540715 + 23.6708i 0.0200817 + 0.879110i
\(726\) 3.92783 + 25.1298i 0.145776 + 0.932655i
\(727\) 38.9254 + 22.4736i 1.44366 + 0.833500i 0.998092 0.0617466i \(-0.0196671\pi\)
0.445572 + 0.895246i \(0.353000\pi\)
\(728\) −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
\(732\) −12.1850 + 1.90453i −0.450369 + 0.0703935i
\(733\) 29.5925i 1.09302i −0.837452 0.546511i \(-0.815956\pi\)
0.837452 0.546511i \(-0.184044\pi\)
\(734\) −7.61535 −0.281088
\(735\) 8.26697 + 18.1085i 0.304932 + 0.667942i
\(736\) −5.44749 3.14511i −0.200797 0.115930i
\(737\) −48.3376 + 27.9077i −1.78054 + 1.02799i
\(738\) 3.83997 + 11.9837i 0.141351 + 0.441127i
\(739\) −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
\(741\) −15.1589 10.4849i −0.556877 0.385173i
\(742\) 10.0334i 0.368338i
\(743\) −7.23600 4.17770i −0.265463 0.153265i 0.361361 0.932426i \(-0.382312\pi\)
−0.626824 + 0.779161i \(0.715646\pi\)
\(744\) −9.05410 11.2275i −0.331939 0.411619i
\(745\) −26.8842 26.2770i −0.984959 0.962716i
\(746\) 6.56320 + 3.78927i 0.240296 + 0.138735i
\(747\) −6.46254 + 29.8076i −0.236452 + 1.09060i
\(748\) 20.1190i 0.735622i
\(749\) −18.4704 −0.674892
\(750\) 10.8717 16.0252i 0.396979 0.585156i
\(751\) 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
\(755\) 0.267894 1.04750i 0.00974968 0.0381224i
\(756\) 3.89603 5.92003i 0.141697 0.215309i
\(757\) −30.7033 17.7266i −1.11593 0.644283i −0.175571 0.984467i \(-0.556177\pi\)
−0.940359 + 0.340184i \(0.889511\pi\)
\(758\) 3.10763 5.38258i 0.112874 0.195504i
\(759\) 51.5083 + 19.8924i 1.86963 + 0.722048i
\(760\) −8.61392 4.56075i −0.312460 0.165436i
\(761\) 5.16853i 0.187359i 0.995602 + 0.0936795i \(0.0298629\pi\)
−0.995602 + 0.0936795i \(0.970137\pi\)
\(762\) −16.6042 + 13.3901i −0.601508 + 0.485071i
\(763\) 1.35833 2.35269i 0.0491748 0.0851732i
\(764\) −3.23013 + 1.86492i −0.116862 + 0.0674703i
\(765\) −14.6677 22.2266i −0.530311 0.803605i
\(766\) 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 \(0.783486\pi\)
\(770\) 11.0533 + 10.8037i 0.398335 + 0.389339i
\(771\) −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 \(0.361568\pi\)
\(774\) −26.6647 + 8.54421i −0.958442 + 0.307115i
\(775\) 19.9894 36.5244i 0.718040 1.31199i
\(776\) −9.39303