Properties

Label 690.2.q.a.11.2
Level $690$
Weight $2$
Character 690.11
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(-1.61107 + 0.635963i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.40602 + 1.01149i) q^{6} +(-3.41511 + 2.95921i) q^{7} +(0.989821 - 0.142315i) q^{8} +(2.19110 - 2.04916i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(-1.61107 + 0.635963i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.40602 + 1.01149i) q^{6} +(-3.41511 + 2.95921i) q^{7} +(0.989821 - 0.142315i) q^{8} +(2.19110 - 2.04916i) q^{9} +(0.755750 + 0.654861i) q^{10} +(4.40521 + 2.83106i) q^{11} +(0.0907705 - 1.72967i) q^{12} +(-1.32881 + 1.53353i) q^{13} +(4.33580 + 1.27311i) q^{14} +(1.36664 - 1.06409i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-1.47114 - 3.22135i) q^{17} +(-2.90847 - 0.735409i) q^{18} +(0.151525 + 0.0691990i) q^{19} +(0.142315 - 0.989821i) q^{20} +(3.62004 - 6.93939i) q^{21} -5.23649i q^{22} +(-3.10773 - 3.65267i) q^{23} +(-1.50417 + 0.858770i) q^{24} +(0.841254 - 0.540641i) q^{25} +(2.00849 + 0.288778i) q^{26} +(-2.22683 + 4.69481i) q^{27} +(-1.27311 - 4.33580i) q^{28} +(-8.75985 + 4.00049i) q^{29} +(-1.63403 - 0.574398i) q^{30} +(-0.144804 - 1.00714i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(-8.89756 - 1.75948i) q^{33} +(-1.91461 + 2.97920i) q^{34} +(2.44307 - 3.80149i) q^{35} +(0.953770 + 2.84435i) q^{36} +(1.17035 - 3.98585i) q^{37} +(-0.0237065 - 0.164883i) q^{38} +(1.16554 - 3.31570i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(-2.99903 - 10.2138i) q^{41} +(-7.79493 + 0.706346i) q^{42} +(7.79071 + 1.12013i) q^{43} +(-4.40521 + 2.83106i) q^{44} +(-1.52503 + 2.58346i) q^{45} +(-1.39266 + 4.58917i) q^{46} -0.999033i q^{47} +(1.53566 + 0.801099i) q^{48} +(1.90986 - 13.2834i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(4.41878 + 4.25423i) q^{51} +(-0.842939 - 1.84578i) q^{52} +(-4.56360 - 5.26667i) q^{53} +(5.15344 - 0.664881i) q^{54} +(-5.02437 - 1.47529i) q^{55} +(-2.95921 + 3.41511i) q^{56} +(-0.288125 - 0.0151204i) q^{57} +(8.10136 + 5.20643i) q^{58} +(-8.29680 - 7.18922i) q^{59} +(0.400211 + 1.68518i) q^{60} +(1.99940 - 0.287471i) q^{61} +(-0.768971 + 0.666317i) q^{62} +(-1.41894 + 13.4821i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.842939 - 1.84578i) q^{65} +(3.33021 + 8.43635i) q^{66} +(-2.50373 - 3.89588i) q^{67} +3.54138 q^{68} +(7.32974 + 3.90832i) q^{69} -4.51884 q^{70} +(8.41815 + 13.0989i) q^{71} +(1.87717 - 2.34013i) q^{72} +(-3.41305 + 7.47353i) q^{73} +(-3.98585 + 1.17035i) q^{74} +(-1.01149 + 1.40602i) q^{75} +(-0.125891 + 0.109085i) q^{76} +(-23.4220 + 3.36758i) q^{77} +(-3.41948 + 0.812087i) q^{78} +(-12.8555 - 11.1393i) q^{79} +(0.841254 + 0.540641i) q^{80} +(0.601847 - 8.97985i) q^{81} +(-6.97097 + 8.04493i) q^{82} +(6.98998 + 2.05244i) q^{83} +(4.80847 + 6.17563i) q^{84} +(2.31911 + 2.67640i) q^{85} +(-3.26966 - 7.15955i) q^{86} +(11.5686 - 12.0160i) q^{87} +(4.76328 + 2.17531i) q^{88} +(-1.03075 + 7.16903i) q^{89} +(2.99784 - 0.113789i) q^{90} -9.16940i q^{91} +(4.61359 - 1.30951i) q^{92} +(0.873793 + 1.53048i) q^{93} +(-0.840440 + 0.540118i) q^{94} +(-0.164883 - 0.0237065i) q^{95} +(-0.156311 - 1.72498i) q^{96} +(-2.70799 - 9.22258i) q^{97} +(-12.2072 + 5.57485i) q^{98} +(15.4536 - 2.82387i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) −1.61107 + 0.635963i −0.930152 + 0.367174i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) 1.40602 + 1.01149i 0.574004 + 0.412940i
\(7\) −3.41511 + 2.95921i −1.29079 + 1.11848i −0.304669 + 0.952458i \(0.598546\pi\)
−0.986123 + 0.166019i \(0.946909\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) 2.19110 2.04916i 0.730367 0.683055i
\(10\) 0.755750 + 0.654861i 0.238989 + 0.207085i
\(11\) 4.40521 + 2.83106i 1.32822 + 0.853596i 0.995978 0.0895975i \(-0.0285581\pi\)
0.332243 + 0.943194i \(0.392194\pi\)
\(12\) 0.0907705 1.72967i 0.0262032 0.499313i
\(13\) −1.32881 + 1.53353i −0.368545 + 0.425324i −0.909485 0.415738i \(-0.863523\pi\)
0.540939 + 0.841062i \(0.318069\pi\)
\(14\) 4.33580 + 1.27311i 1.15879 + 0.340252i
\(15\) 1.36664 1.06409i 0.352865 0.274748i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) −1.47114 3.22135i −0.356804 0.781293i −0.999880 0.0154900i \(-0.995069\pi\)
0.643076 0.765803i \(-0.277658\pi\)
\(18\) −2.90847 0.735409i −0.685532 0.173338i
\(19\) 0.151525 + 0.0691990i 0.0347622 + 0.0158753i 0.432720 0.901528i \(-0.357554\pi\)
−0.397958 + 0.917404i \(0.630281\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) 3.62004 6.93939i 0.789958 1.51430i
\(22\) 5.23649i 1.11642i
\(23\) −3.10773 3.65267i −0.648006 0.761635i
\(24\) −1.50417 + 0.858770i −0.307037 + 0.175296i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) 2.00849 + 0.288778i 0.393898 + 0.0566340i
\(27\) −2.22683 + 4.69481i −0.428553 + 0.903517i
\(28\) −1.27311 4.33580i −0.240594 0.819389i
\(29\) −8.75985 + 4.00049i −1.62666 + 0.742872i −0.999355 0.0358985i \(-0.988571\pi\)
−0.627308 + 0.778771i \(0.715843\pi\)
\(30\) −1.63403 0.574398i −0.298332 0.104870i
\(31\) −0.144804 1.00714i −0.0260077 0.180887i 0.972677 0.232163i \(-0.0745803\pi\)
−0.998685 + 0.0512759i \(0.983671\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) −8.89756 1.75948i −1.54887 0.306287i
\(34\) −1.91461 + 2.97920i −0.328354 + 0.510928i
\(35\) 2.44307 3.80149i 0.412954 0.642570i
\(36\) 0.953770 + 2.84435i 0.158962 + 0.474058i
\(37\) 1.17035 3.98585i 0.192404 0.655269i −0.805619 0.592433i \(-0.798167\pi\)
0.998024 0.0628360i \(-0.0200145\pi\)
\(38\) −0.0237065 0.164883i −0.00384571 0.0267475i
\(39\) 1.16554 3.31570i 0.186636 0.530936i
\(40\) −0.909632 + 0.415415i −0.143825 + 0.0656829i
\(41\) −2.99903 10.2138i −0.468370 1.59512i −0.767592 0.640939i \(-0.778545\pi\)
0.299221 0.954184i \(-0.403273\pi\)
\(42\) −7.79493 + 0.706346i −1.20278 + 0.108992i
\(43\) 7.79071 + 1.12013i 1.18807 + 0.170819i 0.707872 0.706340i \(-0.249655\pi\)
0.480199 + 0.877159i \(0.340564\pi\)
\(44\) −4.40521 + 2.83106i −0.664111 + 0.426798i
\(45\) −1.52503 + 2.58346i −0.227338 + 0.385120i
\(46\) −1.39266 + 4.58917i −0.205337 + 0.676636i
\(47\) 0.999033i 0.145724i −0.997342 0.0728620i \(-0.976787\pi\)
0.997342 0.0728620i \(-0.0232133\pi\)
\(48\) 1.53566 + 0.801099i 0.221653 + 0.115629i
\(49\) 1.90986 13.2834i 0.272837 1.89762i
\(50\) −0.909632 0.415415i −0.128641 0.0587486i
\(51\) 4.41878 + 4.25423i 0.618753 + 0.595712i
\(52\) −0.842939 1.84578i −0.116895 0.255963i
\(53\) −4.56360 5.26667i −0.626858 0.723433i 0.350136 0.936699i \(-0.386135\pi\)
−0.976994 + 0.213266i \(0.931590\pi\)
\(54\) 5.15344 0.664881i 0.701294 0.0904788i
\(55\) −5.02437 1.47529i −0.677486 0.198928i
\(56\) −2.95921 + 3.41511i −0.395441 + 0.456364i
\(57\) −0.288125 0.0151204i −0.0381631 0.00200274i
\(58\) 8.10136 + 5.20643i 1.06376 + 0.683638i
\(59\) −8.29680 7.18922i −1.08015 0.935957i −0.0819940 0.996633i \(-0.526129\pi\)
−0.998158 + 0.0606762i \(0.980674\pi\)
\(60\) 0.400211 + 1.68518i 0.0516670 + 0.217556i
\(61\) 1.99940 0.287471i 0.255997 0.0368069i −0.0131213 0.999914i \(-0.504177\pi\)
0.269119 + 0.963107i \(0.413268\pi\)
\(62\) −0.768971 + 0.666317i −0.0976594 + 0.0846223i
\(63\) −1.41894 + 13.4821i −0.178770 + 1.69858i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 0.842939 1.84578i 0.104554 0.228941i
\(66\) 3.33021 + 8.43635i 0.409921 + 1.03844i
\(67\) −2.50373 3.89588i −0.305879 0.475957i 0.653952 0.756536i \(-0.273110\pi\)
−0.959831 + 0.280579i \(0.909474\pi\)
\(68\) 3.54138 0.429455
\(69\) 7.32974 + 3.90832i 0.882397 + 0.470506i
\(70\) −4.51884 −0.540105
\(71\) 8.41815 + 13.0989i 0.999050 + 1.55455i 0.821315 + 0.570474i \(0.193241\pi\)
0.177735 + 0.984078i \(0.443123\pi\)
\(72\) 1.87717 2.34013i 0.221227 0.275787i
\(73\) −3.41305 + 7.47353i −0.399467 + 0.874711i 0.597857 + 0.801603i \(0.296019\pi\)
−0.997324 + 0.0731081i \(0.976708\pi\)
\(74\) −3.98585 + 1.17035i −0.463346 + 0.136051i
\(75\) −1.01149 + 1.40602i −0.116797 + 0.162353i
\(76\) −0.125891 + 0.109085i −0.0144407 + 0.0125130i
\(77\) −23.4220 + 3.36758i −2.66919 + 0.383771i
\(78\) −3.41948 + 0.812087i −0.387180 + 0.0919508i
\(79\) −12.8555 11.1393i −1.44635 1.25327i −0.913359 0.407154i \(-0.866521\pi\)
−0.532995 0.846119i \(-0.678933\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) 0.601847 8.97985i 0.0668719 0.997762i
\(82\) −6.97097 + 8.04493i −0.769815 + 0.888414i
\(83\) 6.98998 + 2.05244i 0.767250 + 0.225285i 0.641859 0.766822i \(-0.278163\pi\)
0.125391 + 0.992107i \(0.459982\pi\)
\(84\) 4.80847 + 6.17563i 0.524647 + 0.673817i
\(85\) 2.31911 + 2.67640i 0.251543 + 0.290296i
\(86\) −3.26966 7.15955i −0.352576 0.772034i
\(87\) 11.5686 12.0160i 1.24028 1.28825i
\(88\) 4.76328 + 2.17531i 0.507767 + 0.231889i
\(89\) −1.03075 + 7.16903i −0.109259 + 0.759916i 0.859361 + 0.511370i \(0.170862\pi\)
−0.968620 + 0.248546i \(0.920047\pi\)
\(90\) 2.99784 0.113789i 0.316000 0.0119945i
\(91\) 9.16940i 0.961214i
\(92\) 4.61359 1.30951i 0.481000 0.136526i
\(93\) 0.873793 + 1.53048i 0.0906081 + 0.158703i
\(94\) −0.840440 + 0.540118i −0.0866848 + 0.0557089i
\(95\) −0.164883 0.0237065i −0.0169166 0.00243224i
\(96\) −0.156311 1.72498i −0.0159534 0.176055i
\(97\) −2.70799 9.22258i −0.274955 0.936411i −0.974980 0.222293i \(-0.928646\pi\)
0.700025 0.714118i \(-0.253172\pi\)
\(98\) −12.2072 + 5.57485i −1.23311 + 0.563145i
\(99\) 15.4536 2.82387i 1.55314 0.283810i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) 1.18797 4.04586i 0.118207 0.402578i −0.879038 0.476752i \(-0.841814\pi\)
0.997245 + 0.0741744i \(0.0236321\pi\)
\(102\) 1.18992 6.01732i 0.117820 0.595804i
\(103\) −3.45302 + 5.37300i −0.340236 + 0.529417i −0.968640 0.248470i \(-0.920072\pi\)
0.628404 + 0.777887i \(0.283709\pi\)
\(104\) −1.09704 + 1.70703i −0.107574 + 0.167388i
\(105\) −1.51835 + 7.67818i −0.148176 + 0.749314i
\(106\) −1.96334 + 6.68652i −0.190696 + 0.649452i
\(107\) −1.08238 7.52814i −0.104638 0.727773i −0.972826 0.231538i \(-0.925624\pi\)
0.868188 0.496235i \(-0.165285\pi\)
\(108\) −3.34549 3.97589i −0.321920 0.382580i
\(109\) 6.22437 2.84257i 0.596186 0.272269i −0.0943823 0.995536i \(-0.530088\pi\)
0.690569 + 0.723267i \(0.257360\pi\)
\(110\) 1.47529 + 5.02437i 0.140663 + 0.479055i
\(111\) 0.649336 + 7.16579i 0.0616322 + 0.680146i
\(112\) 4.47285 + 0.643098i 0.422644 + 0.0607671i
\(113\) 6.57088 4.22285i 0.618136 0.397252i −0.193764 0.981048i \(-0.562070\pi\)
0.811900 + 0.583796i \(0.198433\pi\)
\(114\) 0.143052 + 0.250561i 0.0133981 + 0.0234672i
\(115\) 4.01092 + 2.62917i 0.374020 + 0.245171i
\(116\) 9.63011i 0.894133i
\(117\) 0.230895 + 6.08306i 0.0213463 + 0.562379i
\(118\) −1.56237 + 10.8665i −0.143828 + 1.00034i
\(119\) 14.5568 + 6.64786i 1.33442 + 0.609408i
\(120\) 1.20129 1.24776i 0.109663 0.113904i
\(121\) 6.82144 + 14.9369i 0.620131 + 1.35790i
\(122\) −1.32279 1.52659i −0.119760 0.138211i
\(123\) 11.3272 + 14.5478i 1.02134 + 1.31173i
\(124\) 0.976278 + 0.286661i 0.0876724 + 0.0257429i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) 12.1090 6.09526i 1.07875 0.543009i
\(127\) 10.3964 + 6.68134i 0.922528 + 0.592873i 0.913390 0.407086i \(-0.133455\pi\)
0.00913780 + 0.999958i \(0.497091\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) −13.2637 + 3.14999i −1.16781 + 0.277341i
\(130\) −2.00849 + 0.288778i −0.176157 + 0.0253275i
\(131\) 2.53738 2.19865i 0.221692 0.192097i −0.536933 0.843625i \(-0.680417\pi\)
0.758625 + 0.651528i \(0.225872\pi\)
\(132\) 5.29666 7.36259i 0.461015 0.640831i
\(133\) −0.722249 + 0.212071i −0.0626269 + 0.0183889i
\(134\) −1.92380 + 4.21254i −0.166191 + 0.363908i
\(135\) 0.813943 5.13201i 0.0700531 0.441693i
\(136\) −1.91461 2.97920i −0.164177 0.255464i
\(137\) −11.5005 −0.982552 −0.491276 0.871004i \(-0.663469\pi\)
−0.491276 + 0.871004i \(0.663469\pi\)
\(138\) −0.674870 8.27916i −0.0574487 0.704769i
\(139\) 4.00978 0.340105 0.170052 0.985435i \(-0.445606\pi\)
0.170052 + 0.985435i \(0.445606\pi\)
\(140\) 2.44307 + 3.80149i 0.206477 + 0.321285i
\(141\) 0.635348 + 1.60951i 0.0535060 + 0.135545i
\(142\) 6.46830 14.1636i 0.542807 1.18858i
\(143\) −10.1952 + 2.99358i −0.852565 + 0.250336i
\(144\) −2.98352 0.314006i −0.248627 0.0261672i
\(145\) 7.27795 6.30638i 0.604401 0.523716i
\(146\) 8.13237 1.16926i 0.673040 0.0967685i
\(147\) 5.37081 + 22.6150i 0.442977 + 1.86526i
\(148\) 3.13947 + 2.72037i 0.258063 + 0.223613i
\(149\) −13.3957 8.60889i −1.09742 0.705268i −0.138902 0.990306i \(-0.544357\pi\)
−0.958516 + 0.285038i \(0.907994\pi\)
\(150\) 1.72967 + 0.0907705i 0.141227 + 0.00741138i
\(151\) 2.99352 3.45471i 0.243609 0.281140i −0.620757 0.784003i \(-0.713175\pi\)
0.864366 + 0.502863i \(0.167720\pi\)
\(152\) 0.159830 + 0.0469305i 0.0129640 + 0.00380656i
\(153\) −9.82450 4.04369i −0.794264 0.326913i
\(154\) 15.4959 + 17.8832i 1.24869 + 1.44107i
\(155\) 0.422682 + 0.925545i 0.0339507 + 0.0743416i
\(156\) 2.53188 + 2.43760i 0.202713 + 0.195164i
\(157\) −11.1266 5.08133i −0.887996 0.405534i −0.0814309 0.996679i \(-0.525949\pi\)
−0.806566 + 0.591145i \(0.798676\pi\)
\(158\) −2.42081 + 16.8371i −0.192589 + 1.33949i
\(159\) 10.7017 + 5.58270i 0.848699 + 0.442737i
\(160\) 1.00000i 0.0790569i
\(161\) 21.4223 + 3.27787i 1.68831 + 0.258332i
\(162\) −7.87972 + 4.34857i −0.619089 + 0.341656i
\(163\) 20.6122 13.2467i 1.61447 1.03756i 0.655052 0.755584i \(-0.272647\pi\)
0.959422 0.281975i \(-0.0909895\pi\)
\(164\) 10.5366 + 1.51494i 0.822772 + 0.118297i
\(165\) 9.03285 0.818522i 0.703206 0.0637218i
\(166\) −2.05244 6.98998i −0.159301 0.542528i
\(167\) −16.5650 + 7.56496i −1.28184 + 0.585394i −0.935702 0.352791i \(-0.885233\pi\)
−0.346133 + 0.938185i \(0.612505\pi\)
\(168\) 2.59562 7.38394i 0.200256 0.569684i
\(169\) 1.26412 + 8.79215i 0.0972400 + 0.676319i
\(170\) 0.997722 3.39793i 0.0765218 0.260609i
\(171\) 0.473806 0.158877i 0.0362329 0.0121496i
\(172\) −4.25529 + 6.62136i −0.324463 + 0.504874i
\(173\) −1.91245 + 2.97584i −0.145401 + 0.226249i −0.906313 0.422606i \(-0.861115\pi\)
0.760912 + 0.648855i \(0.224752\pi\)
\(174\) −16.3630 3.23576i −1.24047 0.245302i
\(175\) −1.27311 + 4.33580i −0.0962377 + 0.327756i
\(176\) −0.745230 5.18319i −0.0561738 0.390697i
\(177\) 17.9388 + 6.30588i 1.34836 + 0.473979i
\(178\) 6.58824 3.00875i 0.493809 0.225515i
\(179\) −1.05340 3.58756i −0.0787350 0.268147i 0.910712 0.413042i \(-0.135534\pi\)
−0.989447 + 0.144895i \(0.953716\pi\)
\(180\) −1.71648 2.46043i −0.127939 0.183389i
\(181\) −5.97449 0.859001i −0.444080 0.0638491i −0.0833521 0.996520i \(-0.526563\pi\)
−0.360728 + 0.932671i \(0.617472\pi\)
\(182\) −7.71379 + 4.95735i −0.571784 + 0.367463i
\(183\) −3.03836 + 1.73468i −0.224602 + 0.128231i
\(184\) −3.59593 3.17322i −0.265095 0.233933i
\(185\) 4.15412i 0.305417i
\(186\) 0.815113 1.56252i 0.0597670 0.114570i
\(187\) 2.63914 18.3556i 0.192993 1.34230i
\(188\) 0.908752 + 0.415013i 0.0662776 + 0.0302680i
\(189\) −6.28808 22.6230i −0.457391 1.64558i
\(190\) 0.0691990 + 0.151525i 0.00502023 + 0.0109928i
\(191\) 1.09829 + 1.26749i 0.0794692 + 0.0917123i 0.794092 0.607798i \(-0.207947\pi\)
−0.714623 + 0.699510i \(0.753402\pi\)
\(192\) −1.36664 + 1.06409i −0.0986287 + 0.0767943i
\(193\) 10.3101 + 3.02731i 0.742135 + 0.217910i 0.630879 0.775881i \(-0.282694\pi\)
0.111256 + 0.993792i \(0.464513\pi\)
\(194\) −6.29448 + 7.26421i −0.451917 + 0.521540i
\(195\) −0.184187 + 3.50976i −0.0131899 + 0.251339i
\(196\) 11.2896 + 7.25537i 0.806398 + 0.518241i
\(197\) 16.1051 + 13.9552i 1.14744 + 0.994263i 0.999987 + 0.00519446i \(0.00165345\pi\)
0.147455 + 0.989069i \(0.452892\pi\)
\(198\) −10.7304 11.4737i −0.762578 0.815398i
\(199\) −17.9901 + 2.58658i −1.27528 + 0.183358i −0.746492 0.665395i \(-0.768263\pi\)
−0.528790 + 0.848753i \(0.677354\pi\)
\(200\) 0.755750 0.654861i 0.0534396 0.0463056i
\(201\) 6.51132 + 4.68426i 0.459273 + 0.330402i
\(202\) −4.04586 + 1.18797i −0.284665 + 0.0835853i
\(203\) 18.0776 39.5844i 1.26880 2.77828i
\(204\) −5.70541 + 2.25219i −0.399459 + 0.157685i
\(205\) 5.75510 + 8.95512i 0.401954 + 0.625452i
\(206\) 6.38690 0.444996
\(207\) −14.2943 1.63513i −0.993521 0.113650i
\(208\) 2.02915 0.140696
\(209\) 0.471592 + 0.733812i 0.0326207 + 0.0507588i
\(210\) 7.28018 2.87382i 0.502380 0.198312i
\(211\) −8.84927 + 19.3772i −0.609209 + 1.33398i 0.313905 + 0.949454i \(0.398363\pi\)
−0.923114 + 0.384527i \(0.874365\pi\)
\(212\) 6.68652 1.96334i 0.459232 0.134843i
\(213\) −21.8927 15.7496i −1.50006 1.07915i
\(214\) −5.74790 + 4.98058i −0.392918 + 0.340465i
\(215\) −7.79071 + 1.12013i −0.531322 + 0.0763925i
\(216\) −1.53602 + 4.96393i −0.104513 + 0.337753i
\(217\) 3.47486 + 3.01098i 0.235889 + 0.204399i
\(218\) −5.75647 3.69946i −0.389878 0.250559i
\(219\) 0.745770 14.2110i 0.0503945 0.960288i
\(220\) 3.42917 3.95747i 0.231195 0.266813i
\(221\) 6.89490 + 2.02453i 0.463801 + 0.136184i
\(222\) 5.67719 4.42037i 0.381028 0.296676i
\(223\) −13.8689 16.0056i −0.928732 1.07181i −0.997246 0.0741633i \(-0.976371\pi\)
0.0685145 0.997650i \(-0.478174\pi\)
\(224\) −1.87720 4.11048i −0.125425 0.274643i
\(225\) 0.735409 2.90847i 0.0490273 0.193898i
\(226\) −7.10497 3.24473i −0.472616 0.215836i
\(227\) −1.43316 + 9.96784i −0.0951221 + 0.661589i 0.885349 + 0.464927i \(0.153919\pi\)
−0.980471 + 0.196662i \(0.936990\pi\)
\(228\) 0.133446 0.255807i 0.00883765 0.0169412i
\(229\) 6.90084i 0.456020i −0.973659 0.228010i \(-0.926778\pi\)
0.973659 0.228010i \(-0.0732220\pi\)
\(230\) 0.0433291 4.79564i 0.00285703 0.316215i
\(231\) 35.5929 20.3209i 2.34184 1.33702i
\(232\) −8.10136 + 5.20643i −0.531880 + 0.341819i
\(233\) −13.6671 1.96504i −0.895363 0.128734i −0.320755 0.947162i \(-0.603936\pi\)
−0.574608 + 0.818429i \(0.694846\pi\)
\(234\) 4.99257 3.48299i 0.326374 0.227690i
\(235\) 0.281460 + 0.958565i 0.0183604 + 0.0625299i
\(236\) 9.98616 4.56053i 0.650044 0.296865i
\(237\) 27.7953 + 9.77065i 1.80550 + 0.634672i
\(238\) −2.27746 15.8401i −0.147626 1.02676i
\(239\) 0.128907 0.439018i 0.00833831 0.0283977i −0.955219 0.295901i \(-0.904380\pi\)
0.963557 + 0.267503i \(0.0861985\pi\)
\(240\) −1.69915 0.336004i −0.109679 0.0216890i
\(241\) −3.01399 + 4.68986i −0.194148 + 0.302100i −0.924656 0.380804i \(-0.875647\pi\)
0.730508 + 0.682905i \(0.239284\pi\)
\(242\) 8.87775 13.8140i 0.570683 0.888000i
\(243\) 4.74124 + 14.8499i 0.304151 + 0.952624i
\(244\) −0.569089 + 1.93814i −0.0364322 + 0.124077i
\(245\) 1.90986 + 13.2834i 0.122016 + 0.848642i
\(246\) 6.11445 17.3942i 0.389843 1.10902i
\(247\) −0.307466 + 0.140415i −0.0195636 + 0.00893440i
\(248\) −0.286661 0.976278i −0.0182030 0.0619937i
\(249\) −12.5666 + 1.13874i −0.796378 + 0.0721647i
\(250\) 0.989821 + 0.142315i 0.0626018 + 0.00900078i
\(251\) −14.2389 + 9.15081i −0.898754 + 0.577594i −0.906420 0.422377i \(-0.861196\pi\)
0.00766679 + 0.999971i \(0.497560\pi\)
\(252\) −11.6743 6.89137i −0.735410 0.434116i
\(253\) −3.34927 24.8890i −0.210567 1.56476i
\(254\) 12.3582i 0.775421i
\(255\) −5.43834 2.83700i −0.340562 0.177660i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −19.2858 8.80751i −1.20301 0.549398i −0.289881 0.957063i \(-0.593616\pi\)
−0.913132 + 0.407665i \(0.866343\pi\)
\(258\) 9.82086 + 9.45516i 0.611420 + 0.588653i
\(259\) 7.79809 + 17.0754i 0.484550 + 1.06102i
\(260\) 1.32881 + 1.53353i 0.0824093 + 0.0951054i
\(261\) −10.9961 + 26.7159i −0.680639 + 1.65367i
\(262\) −3.22144 0.945899i −0.199021 0.0584378i
\(263\) −11.9092 + 13.7439i −0.734353 + 0.847488i −0.992955 0.118496i \(-0.962193\pi\)
0.258602 + 0.965984i \(0.416738\pi\)
\(264\) −9.05740 0.475318i −0.557444 0.0292538i
\(265\) 5.86253 + 3.76762i 0.360132 + 0.231443i
\(266\) 0.568883 + 0.492940i 0.0348805 + 0.0302241i
\(267\) −2.89863 12.2053i −0.177393 0.746954i
\(268\) 4.58390 0.659066i 0.280006 0.0402588i
\(269\) −8.31349 + 7.20368i −0.506882 + 0.439216i −0.870381 0.492379i \(-0.836128\pi\)
0.363499 + 0.931595i \(0.381582\pi\)
\(270\) −4.75737 + 2.08984i −0.289524 + 0.127184i
\(271\) −23.2588 + 6.82941i −1.41287 + 0.414857i −0.897085 0.441858i \(-0.854319\pi\)
−0.515789 + 0.856715i \(0.672501\pi\)
\(272\) −1.47114 + 3.22135i −0.0892011 + 0.195323i
\(273\) 5.83140 + 14.7726i 0.352933 + 0.894076i
\(274\) 6.21763 + 9.67481i 0.375620 + 0.584477i
\(275\) 5.23649 0.315772
\(276\) −6.60001 + 5.04379i −0.397274 + 0.303601i
\(277\) 14.9499 0.898252 0.449126 0.893468i \(-0.351735\pi\)
0.449126 + 0.893468i \(0.351735\pi\)
\(278\) −2.16785 3.37324i −0.130019 0.202313i
\(279\) −2.38107 1.91001i −0.142551 0.114349i
\(280\) 1.87720 4.11048i 0.112184 0.245648i
\(281\) −4.15636 + 1.22042i −0.247947 + 0.0728039i −0.403345 0.915048i \(-0.632152\pi\)
0.155397 + 0.987852i \(0.450334\pi\)
\(282\) 1.01051 1.40466i 0.0601752 0.0836461i
\(283\) −13.2618 + 11.4914i −0.788332 + 0.683094i −0.952904 0.303271i \(-0.901921\pi\)
0.164572 + 0.986365i \(0.447376\pi\)
\(284\) −15.4122 + 2.21594i −0.914546 + 0.131492i
\(285\) 0.280714 0.0666664i 0.0166281 0.00394897i
\(286\) 8.03030 + 6.95829i 0.474841 + 0.411452i
\(287\) 40.4668 + 26.0064i 2.38868 + 1.53511i
\(288\) 1.34885 + 2.67966i 0.0794820 + 0.157901i
\(289\) 2.91978 3.36961i 0.171752 0.198212i
\(290\) −9.24002 2.71311i −0.542593 0.159320i
\(291\) 10.2280 + 13.1360i 0.599576 + 0.770049i
\(292\) −5.38033 6.20924i −0.314860 0.363368i
\(293\) −1.36656 2.99235i −0.0798354 0.174815i 0.865505 0.500900i \(-0.166998\pi\)
−0.945340 + 0.326085i \(0.894270\pi\)
\(294\) 16.1213 16.7448i 0.940213 0.976578i
\(295\) 9.98616 + 4.56053i 0.581417 + 0.265524i
\(296\) 0.591193 4.11184i 0.0343624 0.238996i
\(297\) −23.1009 + 14.3774i −1.34045 + 0.834259i
\(298\) 15.9235i 0.922424i
\(299\) 9.73105 + 0.0879211i 0.562761 + 0.00508461i
\(300\) −0.858770 1.50417i −0.0495811 0.0868431i
\(301\) −29.9209 + 19.2290i −1.72461 + 1.10834i
\(302\) −4.52470 0.650554i −0.260367 0.0374352i
\(303\) 0.659111 + 7.27367i 0.0378650 + 0.417861i
\(304\) −0.0469305 0.159830i −0.00269165 0.00916691i
\(305\) −1.83742 + 0.839123i −0.105211 + 0.0480480i
\(306\) 1.90975 + 10.4511i 0.109173 + 0.597449i
\(307\) 2.27369 + 15.8139i 0.129766 + 0.902545i 0.945848 + 0.324609i \(0.105233\pi\)
−0.816082 + 0.577936i \(0.803858\pi\)
\(308\) 6.66660 22.7043i 0.379865 1.29370i
\(309\) 2.14602 10.8523i 0.122083 0.617364i
\(310\) 0.550099 0.855970i 0.0312435 0.0486159i
\(311\) 9.58486 14.9143i 0.543508 0.845715i −0.455501 0.890235i \(-0.650540\pi\)
0.999008 + 0.0445208i \(0.0141761\pi\)
\(312\) 0.681803 3.44782i 0.0385995 0.195194i
\(313\) 4.73574 16.1285i 0.267680 0.911634i −0.710469 0.703729i \(-0.751517\pi\)
0.978149 0.207906i \(-0.0666647\pi\)
\(314\) 1.74079 + 12.1074i 0.0982383 + 0.683262i
\(315\) −2.43687 13.3357i −0.137302 0.751382i
\(316\) 15.4731 7.06631i 0.870427 0.397511i
\(317\) 1.94950 + 6.63938i 0.109495 + 0.372905i 0.995950 0.0899096i \(-0.0286578\pi\)
−0.886455 + 0.462814i \(0.846840\pi\)
\(318\) −1.08930 12.0211i −0.0610850 0.674108i
\(319\) −49.9146 7.17664i −2.79468 0.401815i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) 6.53142 + 11.4400i 0.364548 + 0.638520i
\(322\) −8.82424 19.7937i −0.491756 1.10306i
\(323\) 0.589916i 0.0328238i
\(324\) 7.91835 + 4.27783i 0.439908 + 0.237657i
\(325\) −0.288778 + 2.00849i −0.0160185 + 0.111411i
\(326\) −22.2876 10.1784i −1.23440 0.563730i
\(327\) −8.22013 + 8.53806i −0.454574 + 0.472156i
\(328\) −4.42208 9.68300i −0.244168 0.534654i
\(329\) 2.95635 + 3.41181i 0.162989 + 0.188099i
\(330\) −5.57211 7.15639i −0.306735 0.393946i
\(331\) −16.2350 4.76702i −0.892355 0.262019i −0.196759 0.980452i \(-0.563042\pi\)
−0.695596 + 0.718433i \(0.744860\pi\)
\(332\) −4.77071 + 5.50569i −0.261827 + 0.302164i
\(333\) −5.60330 11.1316i −0.307059 0.610010i
\(334\) 15.3197 + 9.84540i 0.838259 + 0.538716i
\(335\) 3.49991 + 3.03269i 0.191220 + 0.165693i
\(336\) −7.61506 + 1.80849i −0.415436 + 0.0986612i
\(337\) −23.6628 + 3.40219i −1.28899 + 0.185329i −0.752509 0.658581i \(-0.771157\pi\)
−0.536484 + 0.843911i \(0.680248\pi\)
\(338\) 6.71299 5.81684i 0.365139 0.316394i
\(339\) −7.90058 + 10.9821i −0.429100 + 0.596468i
\(340\) −3.39793 + 0.997722i −0.184279 + 0.0541091i
\(341\) 2.21337 4.84660i 0.119861 0.262458i
\(342\) −0.389815 0.312696i −0.0210788 0.0169086i
\(343\) 15.6844 + 24.4054i 0.846877 + 1.31777i
\(344\) 7.87082 0.424366
\(345\) −8.13393 1.68498i −0.437916 0.0907161i
\(346\) 3.53738 0.190171
\(347\) 2.66157 + 4.14148i 0.142880 + 0.222326i 0.905317 0.424737i \(-0.139633\pi\)
−0.762436 + 0.647063i \(0.775997\pi\)
\(348\) 6.12440 + 15.5148i 0.328302 + 0.831680i
\(349\) 7.41376 16.2339i 0.396849 0.868979i −0.600731 0.799451i \(-0.705124\pi\)
0.997580 0.0695273i \(-0.0221491\pi\)
\(350\) 4.33580 1.27311i 0.231758 0.0680503i
\(351\) −4.24059 9.65341i −0.226346 0.515261i
\(352\) −3.95747 + 3.42917i −0.210934 + 0.182775i
\(353\) −8.56577 + 1.23157i −0.455910 + 0.0655499i −0.366444 0.930440i \(-0.619425\pi\)
−0.0894655 + 0.995990i \(0.528516\pi\)
\(354\) −4.39361 18.5003i −0.233518 0.983280i
\(355\) −11.7675 10.1966i −0.624556 0.541181i
\(356\) −6.09299 3.91573i −0.322928 0.207533i
\(357\) −27.6798 1.45259i −1.46497 0.0768795i
\(358\) −2.44853 + 2.82576i −0.129409 + 0.149346i
\(359\) −9.31231 2.73434i −0.491485 0.144313i 0.0265931 0.999646i \(-0.491534\pi\)
−0.518078 + 0.855333i \(0.673352\pi\)
\(360\) −1.14184 + 2.77420i −0.0601803 + 0.146213i
\(361\) −12.4242 14.3383i −0.653904 0.754646i
\(362\) 2.50741 + 5.49047i 0.131787 + 0.288573i
\(363\) −20.4891 19.7262i −1.07540 1.03536i
\(364\) 8.34078 + 3.80911i 0.437176 + 0.199651i
\(365\) 1.16926 8.13237i 0.0612018 0.425668i
\(366\) 3.10197 + 1.61819i 0.162143 + 0.0845842i
\(367\) 36.4849i 1.90450i 0.305325 + 0.952248i \(0.401235\pi\)
−0.305325 + 0.952248i \(0.598765\pi\)
\(368\) −0.725378 + 4.74066i −0.0378130 + 0.247124i
\(369\) −27.5009 16.2339i −1.43164 0.845103i
\(370\) 3.49467 2.24589i 0.181679 0.116758i
\(371\) 31.1704 + 4.48163i 1.61829 + 0.232674i
\(372\) −1.75516 + 0.159046i −0.0910008 + 0.00824614i
\(373\) −6.35699 21.6499i −0.329152 1.12099i −0.943339 0.331829i \(-0.892334\pi\)
0.614187 0.789160i \(-0.289484\pi\)
\(374\) −16.8686 + 7.70362i −0.872253 + 0.398344i
\(375\) 0.574398 1.63403i 0.0296618 0.0843811i
\(376\) −0.142177 0.988864i −0.00733223 0.0509968i
\(377\) 5.50531 18.7494i 0.283538 0.965641i
\(378\) −15.6321 + 17.5208i −0.804026 + 0.901171i
\(379\) 1.86759 2.90602i 0.0959314 0.149272i −0.789970 0.613145i \(-0.789904\pi\)
0.885902 + 0.463873i \(0.153541\pi\)
\(380\) 0.0900589 0.140134i 0.00461992 0.00718874i
\(381\) −20.9984 4.15240i −1.07578 0.212734i
\(382\) 0.472502 1.60919i 0.0241753 0.0823335i
\(383\) 1.74854 + 12.1614i 0.0893462 + 0.621417i 0.984464 + 0.175587i \(0.0561823\pi\)
−0.895118 + 0.445830i \(0.852909\pi\)
\(384\) 1.63403 + 0.574398i 0.0833864 + 0.0293121i
\(385\) 21.5245 9.82991i 1.09699 0.500978i
\(386\) −3.02731 10.3101i −0.154086 0.524769i
\(387\) 19.3656 13.5101i 0.984407 0.686758i
\(388\) 9.51409 + 1.36792i 0.483005 + 0.0694456i
\(389\) 16.5965 10.6659i 0.841475 0.540783i −0.0474303 0.998875i \(-0.515103\pi\)
0.888905 + 0.458092i \(0.151467\pi\)
\(390\) 3.05217 1.74257i 0.154553 0.0882385i
\(391\) −7.19464 + 15.3847i −0.363849 + 0.778037i
\(392\) 13.4199i 0.677810i
\(393\) −2.68964 + 5.15587i −0.135674 + 0.260079i
\(394\) 3.03274 21.0932i 0.152787 1.06266i
\(395\) 15.4731 + 7.06631i 0.778534 + 0.355544i
\(396\) −3.85096 + 15.2301i −0.193518 + 0.765343i
\(397\) −3.47173 7.60202i −0.174241 0.381534i 0.802283 0.596944i \(-0.203619\pi\)
−0.976524 + 0.215410i \(0.930891\pi\)
\(398\) 11.9021 + 13.7358i 0.596600 + 0.688513i
\(399\) 1.02872 0.800986i 0.0515007 0.0400995i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) 4.98798 5.75643i 0.249088 0.287462i −0.617412 0.786640i \(-0.711819\pi\)
0.866500 + 0.499177i \(0.166364\pi\)
\(402\) 0.420362 8.01017i 0.0209657 0.399511i
\(403\) 1.73689 + 1.11623i 0.0865207 + 0.0556035i
\(404\) 3.18674 + 2.76133i 0.158546 + 0.137381i
\(405\) 1.95245 + 8.78567i 0.0970180 + 0.436563i
\(406\) −43.0740 + 6.19311i −2.13773 + 0.307359i
\(407\) 16.4398 14.2452i 0.814891 0.706107i
\(408\) 4.97924 + 3.58208i 0.246509 + 0.177339i
\(409\) −14.1597 + 4.15767i −0.700153 + 0.205583i −0.612387 0.790558i \(-0.709791\pi\)
−0.0877653 + 0.996141i \(0.527973\pi\)
\(410\) 4.42208 9.68300i 0.218391 0.478209i
\(411\) 18.5281 7.31388i 0.913923 0.360767i
\(412\) −3.45302 5.37300i −0.170118 0.264709i
\(413\) 49.6090 2.44110
\(414\) 6.35251 + 12.9091i 0.312209 + 0.634449i
\(415\) −7.28508 −0.357610
\(416\) −1.09704 1.70703i −0.0537868 0.0836939i
\(417\) −6.46003 + 2.55007i −0.316349 + 0.124878i
\(418\) 0.362360 0.793457i 0.0177236 0.0388093i
\(419\) −21.3666 + 6.27380i −1.04383 + 0.306495i −0.758321 0.651881i \(-0.773980\pi\)
−0.285506 + 0.958377i \(0.592162\pi\)
\(420\) −6.35357 4.57077i −0.310023 0.223031i
\(421\) 9.09573 7.88149i 0.443299 0.384120i −0.404414 0.914576i \(-0.632525\pi\)
0.847713 + 0.530456i \(0.177979\pi\)
\(422\) 21.0854 3.03162i 1.02642 0.147577i
\(423\) −2.04718 2.18898i −0.0995374 0.106432i
\(424\) −5.26667 4.56360i −0.255772 0.221628i
\(425\) −2.97920 1.91461i −0.144512 0.0928724i
\(426\) −1.41336 + 26.9322i −0.0684775 + 1.30487i
\(427\) −5.97750 + 6.89840i −0.289272 + 0.333837i
\(428\) 7.29748 + 2.14273i 0.352737 + 0.103573i
\(429\) 14.5214 11.3066i 0.701099 0.545890i
\(430\) 5.15429 + 5.94837i 0.248562 + 0.286856i
\(431\) 1.35364 + 2.96406i 0.0652027 + 0.142774i 0.939428 0.342747i \(-0.111357\pi\)
−0.874225 + 0.485521i \(0.838630\pi\)
\(432\) 5.00636 1.39152i 0.240869 0.0669497i
\(433\) −9.47491 4.32705i −0.455335 0.207945i 0.174526 0.984653i \(-0.444161\pi\)
−0.629861 + 0.776708i \(0.716888\pi\)
\(434\) 0.654349 4.55110i 0.0314097 0.218460i
\(435\) −7.71467 + 14.7885i −0.369890 + 0.709056i
\(436\) 6.84273i 0.327707i
\(437\) −0.218136 0.768522i −0.0104349 0.0367634i
\(438\) −12.3582 + 7.05565i −0.590499 + 0.337132i
\(439\) 20.3781 13.0962i 0.972594 0.625048i 0.0451383 0.998981i \(-0.485627\pi\)
0.927456 + 0.373932i \(0.121991\pi\)
\(440\) −5.18319 0.745230i −0.247099 0.0355274i
\(441\) −23.0351 33.0188i −1.09691 1.57232i
\(442\) −2.02453 6.89490i −0.0962968 0.327957i
\(443\) 24.7096 11.2845i 1.17399 0.536142i 0.269649 0.962959i \(-0.413092\pi\)
0.904338 + 0.426817i \(0.140365\pi\)
\(444\) −6.78797 2.38612i −0.322143 0.113240i
\(445\) −1.03075 7.16903i −0.0488623 0.339845i
\(446\) −5.96665 + 20.3206i −0.282529 + 0.962206i
\(447\) 27.0564 + 5.35037i 1.27972 + 0.253064i
\(448\) −2.44307 + 3.80149i −0.115424 + 0.179604i
\(449\) −14.0622 + 21.8813i −0.663638 + 1.03264i 0.332350 + 0.943156i \(0.392159\pi\)
−0.995988 + 0.0894854i \(0.971478\pi\)
\(450\) −2.84435 + 0.953770i −0.134084 + 0.0449611i
\(451\) 15.7044 53.4843i 0.739491 2.51848i
\(452\) 1.11160 + 7.73132i 0.0522851 + 0.363651i
\(453\) −2.62571 + 7.46955i −0.123366 + 0.350950i
\(454\) 9.16031 4.18337i 0.429915 0.196335i
\(455\) 2.58332 + 8.79798i 0.121108 + 0.412456i
\(456\) −0.287344 + 0.0260380i −0.0134561 + 0.00121934i
\(457\) 5.50225 + 0.791104i 0.257384 + 0.0370063i 0.269799 0.962917i \(-0.413043\pi\)
−0.0124146 + 0.999923i \(0.503952\pi\)
\(458\) −5.80536 + 3.73088i −0.271267 + 0.174332i
\(459\) 18.3996 + 0.266657i 0.858820 + 0.0124465i
\(460\) −4.05777 + 2.55627i −0.189195 + 0.119187i
\(461\) 8.01026i 0.373075i −0.982448 0.186538i \(-0.940273\pi\)
0.982448 0.186538i \(-0.0597266\pi\)
\(462\) −36.3380 18.9563i −1.69060 0.881927i
\(463\) 3.33236 23.1771i 0.154868 1.07713i −0.753044 0.657970i \(-0.771415\pi\)
0.907912 0.419161i \(-0.137676\pi\)
\(464\) 8.75985 + 4.00049i 0.406666 + 0.185718i
\(465\) −1.26958 1.22231i −0.0588756 0.0566832i
\(466\) 5.73591 + 12.5599i 0.265711 + 0.581826i
\(467\) −12.6247 14.5697i −0.584204 0.674207i 0.384299 0.923209i \(-0.374443\pi\)
−0.968503 + 0.249001i \(0.919898\pi\)
\(468\) −5.62927 2.31697i −0.260213 0.107102i
\(469\) 20.0793 + 5.89580i 0.927174 + 0.272243i
\(470\) 0.654227 0.755019i 0.0301773 0.0348264i
\(471\) 21.1572 + 1.11030i 0.974874 + 0.0511599i
\(472\) −9.23548 5.93529i −0.425098 0.273194i
\(473\) 31.1486 + 26.9904i 1.43221 + 1.24102i
\(474\) −6.80768 28.6653i −0.312687 1.31664i
\(475\) 0.164883 0.0237065i 0.00756533 0.00108773i
\(476\) −12.0942 + 10.4797i −0.554337 + 0.480336i
\(477\) −20.7916 2.18825i −0.951981 0.100193i
\(478\) −0.439018 + 0.128907i −0.0200802 + 0.00589608i
\(479\) 2.02304 4.42984i 0.0924351 0.202405i −0.857767 0.514038i \(-0.828149\pi\)
0.950202 + 0.311634i \(0.100876\pi\)
\(480\) 0.635963 + 1.61107i 0.0290276 + 0.0735350i
\(481\) 4.55724 + 7.09120i 0.207792 + 0.323331i
\(482\) 5.57484 0.253927
\(483\) −36.5974 + 8.34291i −1.66524 + 0.379615i
\(484\) −16.4208 −0.746399
\(485\) 5.19660 + 8.08607i 0.235966 + 0.367170i
\(486\) 9.92925 12.0171i 0.450400 0.545105i
\(487\) −11.6295 + 25.4651i −0.526985 + 1.15394i 0.439742 + 0.898124i \(0.355070\pi\)
−0.966727 + 0.255812i \(0.917657\pi\)
\(488\) 1.93814 0.569089i 0.0877355 0.0257615i
\(489\) −24.7834 + 34.4499i −1.12074 + 1.55788i
\(490\) 10.1421 8.78820i 0.458174 0.397010i
\(491\) −37.0449 + 5.32625i −1.67181 + 0.240370i −0.912124 0.409915i \(-0.865558\pi\)
−0.759690 + 0.650286i \(0.774649\pi\)
\(492\) −17.9387 + 4.26023i −0.808738 + 0.192066i
\(493\) 25.7740 + 22.3333i 1.16080 + 1.00584i
\(494\) 0.284353 + 0.182743i 0.0127937 + 0.00822199i
\(495\) −14.0320 + 7.06326i −0.630692 + 0.317470i
\(496\) −0.666317 + 0.768971i −0.0299185 + 0.0345278i
\(497\) −67.5114 19.8231i −3.02830 0.889189i
\(498\) 7.75200 + 9.95608i 0.347376 + 0.446143i
\(499\) 19.0763 + 22.0152i 0.853972 + 0.985536i 0.999993 0.00374564i \(-0.00119228\pi\)
−0.146021 + 0.989281i \(0.546647\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) 21.8763 22.7224i 0.977361 1.01516i
\(502\) 15.3963 + 7.03125i 0.687170 + 0.313820i
\(503\) −2.98705 + 20.7754i −0.133186 + 0.926330i 0.808178 + 0.588938i \(0.200454\pi\)
−0.941364 + 0.337392i \(0.890455\pi\)
\(504\) 0.514196 + 13.5468i 0.0229041 + 0.603421i
\(505\) 4.21666i 0.187639i
\(506\) −19.1272 + 16.2736i −0.850307 + 0.723449i
\(507\) −7.62807 13.3608i −0.338775 0.593376i
\(508\) −10.3964 + 6.68134i −0.461264 + 0.296436i
\(509\) 39.6442 + 5.69997i 1.75720 + 0.252647i 0.944142 0.329539i \(-0.106893\pi\)
0.813056 + 0.582186i \(0.197802\pi\)
\(510\) 0.553557 + 6.10882i 0.0245119 + 0.270503i
\(511\) −10.4598 35.6229i −0.462716 1.57586i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) −0.662296 + 0.557286i −0.0292411 + 0.0246048i
\(514\) 3.01732 + 20.9859i 0.133088 + 0.925649i
\(515\) 1.79940 6.12818i 0.0792909 0.270040i
\(516\) 2.64463 13.3737i 0.116423 0.588743i
\(517\) 2.82832 4.40095i 0.124389 0.193554i
\(518\) 10.1488 15.7919i 0.445913 0.693854i
\(519\) 1.18858 6.01053i 0.0521727 0.263833i
\(520\) 0.571677 1.94695i 0.0250697 0.0853795i
\(521\) 1.82902 + 12.7211i 0.0801309 + 0.557322i 0.989852 + 0.142102i \(0.0453863\pi\)
−0.909721 + 0.415220i \(0.863705\pi\)
\(522\) 28.4197 5.19321i 1.24390 0.227301i
\(523\) −9.42136 + 4.30259i −0.411967 + 0.188139i −0.610608 0.791933i \(-0.709075\pi\)
0.198640 + 0.980072i \(0.436347\pi\)
\(524\) 0.945899 + 3.22144i 0.0413218 + 0.140729i
\(525\) −0.706346 7.79493i −0.0308275 0.340199i
\(526\) 18.0007 + 2.58812i 0.784870 + 0.112847i
\(527\) −3.03132 + 1.94811i −0.132046 + 0.0848609i
\(528\) 4.49693 + 7.87654i 0.195704 + 0.342783i
\(529\) −3.68406 + 22.7030i −0.160176 + 0.987088i
\(530\) 6.96880i 0.302705i
\(531\) −32.9110 + 1.24921i −1.42822 + 0.0542110i
\(532\) 0.107126 0.745078i 0.00464451 0.0323032i
\(533\) 19.6482 + 8.97305i 0.851060 + 0.388666i
\(534\) −8.70067 + 9.03718i −0.376515 + 0.391077i
\(535\) 3.15946 + 6.91826i 0.136595 + 0.299102i
\(536\) −3.03269 3.49991i −0.130992 0.151173i
\(537\) 3.97866 + 5.10989i 0.171692 + 0.220508i
\(538\) 10.5547 + 3.09915i 0.455047 + 0.133614i
\(539\) 46.0193 53.1091i 1.98219 2.28757i
\(540\) 4.33011 + 2.87230i 0.186338 + 0.123604i
\(541\) −30.9418 19.8851i −1.33029 0.854926i −0.334134 0.942525i \(-0.608444\pi\)
−0.996156 + 0.0876000i \(0.972080\pi\)
\(542\) 18.3200 + 15.8743i 0.786909 + 0.681861i
\(543\) 10.1716 2.41564i 0.436506 0.103665i
\(544\) 3.50533 0.503991i 0.150290 0.0216084i
\(545\) −5.17139 + 4.48104i −0.221518 + 0.191947i
\(546\) 9.27477 12.8923i 0.396924 0.551741i
\(547\) 4.50388 1.32246i 0.192572 0.0565442i −0.184024 0.982922i \(-0.558913\pi\)
0.376596 + 0.926377i \(0.377094\pi\)
\(548\) 4.77747 10.4612i 0.204083 0.446880i
\(549\) 3.79182 4.72698i 0.161831 0.201743i
\(550\) −2.83106 4.40521i −0.120717 0.187839i
\(551\) −1.60416 −0.0683397
\(552\) 7.81134 + 2.82541i 0.332473 + 0.120257i
\(553\) 76.8666 3.26870
\(554\) −8.08252 12.5766i −0.343393 0.534331i
\(555\) −2.64187 6.69258i −0.112141 0.284084i
\(556\) −1.66572 + 3.64742i −0.0706423 + 0.154685i
\(557\) 5.20496 1.52831i 0.220541 0.0647567i −0.169595 0.985514i \(-0.554246\pi\)
0.390136 + 0.920757i \(0.372428\pi\)
\(558\) −0.319499 + 3.03572i −0.0135255 + 0.128512i
\(559\) −12.0701 + 10.4588i −0.510512 + 0.442361i
\(560\) −4.47285 + 0.643098i −0.189012 + 0.0271759i
\(561\) 7.42166 + 31.2506i 0.313343 + 1.31940i
\(562\) 3.27377 + 2.83674i 0.138096 + 0.119661i
\(563\) −32.1219 20.6435i −1.35378 0.870019i −0.355860 0.934539i \(-0.615812\pi\)
−0.997916 + 0.0645202i \(0.979448\pi\)
\(564\) −1.72800 0.0906827i −0.0727618 0.00381843i
\(565\) −5.11500 + 5.90302i −0.215190 + 0.248342i
\(566\) 16.8371 + 4.94381i 0.707715 + 0.207804i
\(567\) 24.5179 + 32.4482i 1.02966 + 1.36270i
\(568\) 10.1966 + 11.7675i 0.427841 + 0.493755i
\(569\) −5.28456 11.5716i −0.221540 0.485105i 0.765927 0.642927i \(-0.222280\pi\)
−0.987468 + 0.157822i \(0.949553\pi\)
\(570\) −0.207849 0.200109i −0.00870583 0.00838165i
\(571\) 27.5484 + 12.5809i 1.15287 + 0.526496i 0.897790 0.440425i \(-0.145172\pi\)
0.255077 + 0.966921i \(0.417899\pi\)
\(572\) 1.51218 10.5175i 0.0632275 0.439757i
\(573\) −2.57549 1.34355i −0.107593 0.0561274i
\(574\) 48.1029i 2.00778i
\(575\) −4.58917 1.39266i −0.191382 0.0580780i
\(576\) 1.52503 2.58346i 0.0635429 0.107644i
\(577\) 20.9014 13.4325i 0.870136 0.559203i −0.0276583 0.999617i \(-0.508805\pi\)
0.897794 + 0.440415i \(0.145169\pi\)
\(578\) −4.41325 0.634529i −0.183567 0.0263929i
\(579\) −18.5355 + 1.67962i −0.770310 + 0.0698024i
\(580\) 2.71311 + 9.24002i 0.112656 + 0.383671i
\(581\) −29.9452 + 13.6755i −1.24234 + 0.567356i
\(582\) 5.52107 15.7062i 0.228856 0.651044i
\(583\) −5.19336 36.1206i −0.215087 1.49596i
\(584\) −2.31471 + 7.88319i −0.0957835 + 0.326209i
\(585\) −1.93534 5.77161i −0.0800164 0.238627i
\(586\) −1.77851 + 2.76741i −0.0734695 + 0.114321i
\(587\) 20.3555 31.6738i 0.840161 1.30732i −0.109485 0.993989i \(-0.534920\pi\)
0.949645 0.313327i \(-0.101444\pi\)
\(588\) −22.8025 4.50916i −0.940358 0.185955i
\(589\) 0.0477515 0.162627i 0.00196756 0.00670091i
\(590\) −1.56237 10.8665i −0.0643216 0.447367i
\(591\) −34.8214 12.2405i −1.43236 0.503506i
\(592\) −3.77872 + 1.72568i −0.155304 + 0.0709252i
\(593\) −3.43438 11.6964i −0.141033 0.480314i 0.858435 0.512922i \(-0.171437\pi\)
−0.999468 + 0.0326076i \(0.989619\pi\)
\(594\) 24.5843 + 11.6607i 1.00871 + 0.478446i
\(595\) −15.8401 2.27746i −0.649379 0.0933666i
\(596\) 13.3957 8.60889i 0.548709 0.352634i
\(597\) 27.3383 15.6082i 1.11888 0.638801i
\(598\) −5.18704 8.23382i −0.212114 0.336706i
\(599\) 10.8054i 0.441498i 0.975331 + 0.220749i \(0.0708501\pi\)
−0.975331 + 0.220749i \(0.929150\pi\)
\(600\) −0.801099 + 1.53566i −0.0327047 + 0.0626929i
\(601\) −1.82368 + 12.6840i −0.0743894 + 0.517389i 0.918223 + 0.396063i \(0.129624\pi\)
−0.992613 + 0.121326i \(0.961285\pi\)
\(602\) 32.3529 + 14.7751i 1.31861 + 0.602187i
\(603\) −13.4692 3.40571i −0.548509 0.138691i
\(604\) 1.89896 + 4.15814i 0.0772675 + 0.169192i
\(605\) −10.7533 12.4100i −0.437185 0.504538i
\(606\) 5.76266 4.48692i 0.234092 0.182269i
\(607\) 15.1685 + 4.45388i 0.615671 + 0.180777i 0.574675 0.818382i \(-0.305129\pi\)
0.0409963 + 0.999159i \(0.486947\pi\)
\(608\) −0.109085 + 0.125891i −0.00442400 + 0.00510557i
\(609\) −3.95005 + 75.2700i −0.160064 + 3.05009i
\(610\) 1.69930 + 1.09207i 0.0688027 + 0.0442168i
\(611\) 1.53204 + 1.32752i 0.0619799 + 0.0537059i
\(612\) 7.75952 7.25687i 0.313660 0.293342i
\(613\) 14.2001 2.04167i 0.573538 0.0824623i 0.150558 0.988601i \(-0.451893\pi\)
0.422980 + 0.906139i \(0.360984\pi\)
\(614\) 12.0742 10.4624i 0.487276 0.422227i
\(615\) −14.9670 10.7673i −0.603528 0.434179i
\(616\) −22.7043 + 6.66660i −0.914784 + 0.268605i
\(617\) −2.53588 + 5.55281i −0.102091 + 0.223548i −0.953784 0.300493i \(-0.902849\pi\)
0.851693 + 0.524041i \(0.175576\pi\)
\(618\) −10.2897 + 4.06183i −0.413914 + 0.163391i
\(619\) −11.4982 17.8915i −0.462151 0.719121i 0.529466 0.848331i \(-0.322392\pi\)
−0.991617 + 0.129210i \(0.958756\pi\)
\(620\) −1.01749 −0.0408635
\(621\) 24.0690 6.45632i 0.965855 0.259083i
\(622\) −17.7287 −0.710856
\(623\) −17.6946 27.5333i −0.708917 1.10310i
\(624\) −3.26910 + 1.29046i −0.130869 + 0.0516599i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) −16.1285 + 4.73574i −0.644623 + 0.189278i
\(627\) −1.22645 0.882308i −0.0489795 0.0352360i
\(628\) 9.24428 8.01022i 0.368887 0.319642i
\(629\) −14.5616 + 2.09364i −0.580608 + 0.0834788i
\(630\) −9.90124 + 9.25985i −0.394475 + 0.368921i
\(631\) −5.56668 4.82356i −0.221606 0.192023i 0.536981 0.843594i \(-0.319565\pi\)
−0.758587 + 0.651571i \(0.774110\pi\)
\(632\) −14.3099 9.19643i −0.569218 0.365814i
\(633\) 1.93361 36.8458i 0.0768543 1.46449i
\(634\) 4.53143 5.22954i 0.179966 0.207692i
\(635\) −11.8576 3.48170i −0.470554 0.138167i
\(636\) −9.52384 + 7.41546i −0.377645 + 0.294042i
\(637\) 17.8325 + 20.5799i 0.706551 + 0.815404i
\(638\) 20.9485 + 45.8708i 0.829360 + 1.81604i
\(639\) 45.2868 + 11.4508i 1.79152 + 0.452988i
\(640\) 0.909632 + 0.415415i 0.0359564 + 0.0164207i
\(641\) −5.65358 + 39.3215i −0.223303 + 1.55311i 0.502117 + 0.864800i \(0.332555\pi\)
−0.725420 + 0.688306i \(0.758355\pi\)
\(642\) 6.09280 11.6795i 0.240464 0.460954i
\(643\) 1.75134i 0.0690661i 0.999404 + 0.0345330i \(0.0109944\pi\)
−0.999404 + 0.0345330i \(0.989006\pi\)
\(644\) −11.8808 + 18.1247i −0.468169 + 0.714214i
\(645\) 11.8390 6.75922i 0.466161 0.266144i
\(646\) −0.496269 + 0.318933i −0.0195254 + 0.0125482i
\(647\) −0.484442 0.0696523i −0.0190454 0.00273831i 0.132786 0.991145i \(-0.457608\pi\)
−0.151831 + 0.988406i \(0.548517\pi\)
\(648\) −0.682245 8.97410i −0.0268011 0.352536i
\(649\) −16.1961 55.1588i −0.635752 2.16517i
\(650\) 1.84578 0.842939i 0.0723974 0.0330628i
\(651\) −7.51312 2.64102i −0.294462 0.103510i
\(652\) 3.48697 + 24.2524i 0.136560 + 0.949797i
\(653\) −6.38104 + 21.7318i −0.249709 + 0.850432i 0.735272 + 0.677772i \(0.237054\pi\)
−0.984982 + 0.172660i \(0.944764\pi\)
\(654\) 11.6268 + 2.29919i 0.454644 + 0.0899054i
\(655\) −1.81517 + 2.82446i −0.0709244 + 0.110361i
\(656\) −5.75510 + 8.95512i −0.224699 + 0.349639i
\(657\) 7.83617 + 23.3692i 0.305718 + 0.911718i
\(658\) 1.27187 4.33161i 0.0495828 0.168864i
\(659\) 3.91705 + 27.2437i 0.152587 + 1.06126i 0.911863 + 0.410495i \(0.134644\pi\)
−0.759276 + 0.650768i \(0.774447\pi\)
\(660\) −3.00783 + 8.55660i −0.117080 + 0.333065i
\(661\) −13.3489 + 6.09622i −0.519211 + 0.237116i −0.657743 0.753242i \(-0.728489\pi\)
0.138532 + 0.990358i \(0.455762\pi\)
\(662\) 4.76702 + 16.2350i 0.185276 + 0.630991i
\(663\) −12.3957 + 1.12325i −0.481409 + 0.0436234i
\(664\) 7.21093 + 1.03677i 0.279838 + 0.0402347i
\(665\) 0.633245 0.406962i 0.0245562 0.0157813i
\(666\) −6.33516 + 10.7320i −0.245482 + 0.415857i
\(667\) 41.8357 + 19.5645i 1.61989 + 0.757539i
\(668\) 18.2106i 0.704590i
\(669\) 32.5228 + 16.9660i 1.25740 + 0.655944i
\(670\) 0.659066 4.58390i 0.0254619 0.177092i
\(671\) 9.62164 + 4.39406i 0.371439 + 0.169631i
\(672\) 5.63841 + 5.42846i 0.217507 + 0.209407i
\(673\) 0.204072 + 0.446856i 0.00786640 + 0.0172250i 0.913524 0.406784i \(-0.133350\pi\)
−0.905658 + 0.424009i \(0.860623\pi\)
\(674\) 15.6552 + 18.0670i 0.603014 + 0.695916i
\(675\) 0.664881 + 5.15344i 0.0255913 + 0.198356i
\(676\) −8.52275 2.50251i −0.327798 0.0962502i
\(677\) 3.61044 4.16667i 0.138760 0.160138i −0.682116 0.731244i \(-0.738940\pi\)
0.820876 + 0.571106i \(0.193486\pi\)
\(678\) 13.5101 + 0.708992i 0.518854 + 0.0272287i
\(679\) 36.5397 + 23.4826i 1.40226 + 0.901181i
\(680\) 2.67640 + 2.31911i 0.102635 + 0.0889338i
\(681\) −4.03026 16.9703i −0.154440 0.650305i
\(682\) −5.27386 + 0.758267i −0.201947 + 0.0290355i
\(683\) 2.52124 2.18467i 0.0964725 0.0835939i −0.605289 0.796006i \(-0.706943\pi\)
0.701762 + 0.712412i \(0.252397\pi\)
\(684\) −0.0523065 + 0.496989i −0.00199999 + 0.0190029i
\(685\) 11.0346 3.24006i 0.421611 0.123796i
\(686\) 12.0515 26.3891i 0.460128 1.00754i
\(687\) 4.38868 + 11.1177i 0.167439 + 0.424169i
\(688\) −4.25529 6.62136i −0.162231 0.252437i
\(689\) 14.1407 0.538719
\(690\) 2.98004 + 7.75367i 0.113448 + 0.295177i
\(691\) 16.5110 0.628109 0.314055 0.949405i \(-0.398313\pi\)
0.314055 + 0.949405i \(0.398313\pi\)
\(692\) −1.91245 2.97584i −0.0727006 0.113124i
\(693\) −44.4193 + 55.3743i −1.68735 + 2.10349i
\(694\) 2.04508 4.47810i 0.0776302 0.169986i
\(695\) −3.84735 + 1.12968i −0.145938 + 0.0428514i
\(696\) 9.74077 13.5401i 0.369223 0.513236i
\(697\) −28.4901 + 24.6869i −1.07914 + 0.935081i
\(698\) −17.6650 + 2.53984i −0.668629 + 0.0961343i
\(699\) 23.2684 5.52598i 0.880092 0.209012i
\(700\) −3.41511 2.95921i −0.129079 0.111848i
\(701\) 4.22145 + 2.71296i 0.159442 + 0.102467i 0.617929 0.786234i \(-0.287972\pi\)
−0.458487 + 0.888701i \(0.651608\pi\)
\(702\) −5.82832 + 8.78644i −0.219976 + 0.331623i
\(703\) 0.453154 0.522968i 0.0170910 0.0197241i
\(704\) 5.02437 + 1.47529i 0.189363 + 0.0556020i
\(705\) −1.06306 1.36532i −0.0400373 0.0514209i
\(706\) 5.66707 + 6.54015i 0.213283 + 0.246142i
\(707\) 7.91549 + 17.3325i 0.297693 + 0.651856i
\(708\) −13.1881 + 13.6982i −0.495639 + 0.514809i
\(709\) 14.7866 + 6.75281i 0.555322 + 0.253607i 0.673250 0.739415i \(-0.264898\pi\)
−0.117928 + 0.993022i \(0.537625\pi\)
\(710\) −2.21594 + 15.4122i −0.0831627 + 0.578410i
\(711\) −50.9940 + 1.93558i −1.91242 + 0.0725901i
\(712\) 7.24275i 0.271434i
\(713\) −3.22873 + 3.65883i −0.120917 + 0.137024i
\(714\) 13.7428 + 24.0711i 0.514313 + 0.900837i
\(715\) 8.93883 5.74464i 0.334293 0.214837i
\(716\) 3.70096 + 0.532117i 0.138311 + 0.0198862i
\(717\) 0.0715205 + 0.789269i 0.00267098 + 0.0294758i
\(718\) 2.73434 + 9.31231i 0.102045 + 0.347532i
\(719\) −14.5982 + 6.66677i −0.544420 + 0.248628i −0.668588 0.743633i \(-0.733101\pi\)
0.124168 + 0.992261i \(0.460374\pi\)
\(720\) 2.95113 0.539268i 0.109982 0.0200973i
\(721\) −4.10740 28.5676i −0.152968 1.06391i
\(722\) −5.34510 + 18.2037i −0.198924 + 0.677473i
\(723\) 1.87317 9.47248i 0.0696640 0.352285i
\(724\) 3.26327 5.07774i 0.121278 0.188713i
\(725\) −5.20643 + 8.10136i −0.193362 + 0.300877i
\(726\) −5.51746 + 27.9013i −0.204772 + 1.03552i
\(727\) 8.79272 29.9452i 0.326104 1.11061i −0.619421 0.785059i \(-0.712633\pi\)
0.945525 0.325549i \(-0.105549\pi\)
\(728\) −1.30494 9.07607i −0.0483644 0.336382i
\(729\) −17.0825 20.9091i −0.632685 0.774409i
\(730\) −7.47353 + 3.41305i −0.276608 + 0.126323i
\(731\) −7.85289 26.7445i −0.290450 0.989181i
\(732\) −0.315743 3.48440i −0.0116702 0.128787i
\(733\) 52.3202 + 7.52251i 1.93249 + 0.277850i 0.997121 0.0758232i \(-0.0241584\pi\)
0.935369 + 0.353673i \(0.115068\pi\)
\(734\) 30.6931 19.7252i 1.13290 0.728071i
\(735\) −11.5246 20.1858i −0.425093 0.744565i
\(736\) 4.38026 1.95277i 0.161459 0.0719799i
\(737\) 24.2504i 0.893274i
\(738\) 1.21128 + 31.9119i 0.0445880 + 1.17469i
\(739\) −6.20118 + 43.1302i −0.228114 + 1.58657i 0.477928 + 0.878399i \(0.341388\pi\)
−0.706042 + 0.708170i \(0.749521\pi\)
\(740\) −3.77872 1.72568i −0.138909 0.0634374i
\(741\) 0.406051 0.421756i 0.0149167 0.0154936i
\(742\) −13.0818 28.6452i −0.480248 1.05160i
\(743\) −16.1840 18.6773i −0.593734 0.685205i 0.376766 0.926309i \(-0.377036\pi\)
−0.970499 + 0.241103i \(0.922491\pi\)
\(744\) 1.08271 + 1.39055i 0.0396940 + 0.0509800i
\(745\) 15.2785 + 4.48617i 0.559760 + 0.164360i
\(746\) −14.7762 + 17.0527i −0.540996 + 0.624342i
\(747\) 19.5215 9.82651i 0.714256 0.359533i
\(748\) 15.6005 + 10.0259i 0.570412 + 0.366581i
\(749\) 25.9738 + 22.5065i 0.949064 + 0.822368i
\(750\) −1.68518 + 0.400211i −0.0615341 + 0.0146136i
\(751\) 11.9947 1.72457i 0.437692 0.0629305i 0.0800529 0.996791i \(-0.474491\pi\)
0.357639 + 0.933860i \(0.383582\pi\)
\(752\) −0.755019 + 0.654227i −0.0275327 + 0.0238572i
\(753\) 17.1204 23.7980i 0.623901 0.867249i
\(754\) −18.7494 + 5.50531i −0.682812 + 0.200492i
\(755\) −1.89896 + 4.15814i −0.0691102 + 0.151330i
\(756\) 23.1907 + 3.67808i 0.843439 + 0.133770i
\(757\) 9.40225 + 14.6302i 0.341731 + 0.531743i 0.969000 0.247059i \(-0.0794641\pi\)
−0.627270 + 0.778802i \(0.715828\pi\)
\(758\) −3.45439 −0.125469
\(759\) 21.2244 + 37.9679i 0.770396 + 1.37815i
\(760\) −0.166578 −0.00604242
\(761\) −6.15388 9.57562i −0.223078 0.347116i 0.711617 0.702568i \(-0.247963\pi\)
−0.934695 + 0.355452i \(0.884327\pi\)
\(762\) 7.85935 + 19.9099i 0.284714 + 0.721260i
\(763\) −12.8451 + 28.1269i −0.465025 + 1.01826i
\(764\) −1.60919 + 0.472502i −0.0582186 + 0.0170945i
\(765\) 10.5658 + 1.11201i 0.382007 + 0.0402050i
\(766\) 9.28546 8.04589i 0.335497 0.290710i
\(767\) 22.0497 3.17027i 0.796170 0.114472i
\(768\) −0.400211 1.68518i −0.0144414 0.0608087i
\(769\) −3.73526 3.23662i −0.134697 0.116715i 0.584907 0.811100i \(-0.301131\pi\)
−0.719604 + 0.694385i \(0.755677\pi\)
\(770\) −19.9065 12.7931i −0.717379 0.461032i
\(771\) 36.6720 + 1.92449i 1.32071 + 0.0693088i
\(772\) −7.03669 + 8.12078i −0.253256 + 0.292273i
\(773\) 12.6512 + 3.71473i 0.455032 + 0.133610i 0.501214 0.865324i \(-0.332887\pi\)
−0.0461814 + 0.998933i \(0.514705\pi\)
\(774\) −21.8352