Properties

Label 273.2.bn.c.146.1
Level $273$
Weight $2$
Character 273.146
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bn (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 146.1
Character \(\chi\) \(=\) 273.146
Dual form 273.2.bn.c.230.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.30434 + 1.33041i) q^{2} +(-0.643938 + 1.60790i) q^{3} +(2.54000 - 4.39941i) q^{4} -3.38484 q^{5} +(-0.655319 - 4.56186i) q^{6} +(-1.66594 + 2.05540i) q^{7} +8.19533i q^{8} +(-2.17069 - 2.07078i) q^{9} +O(q^{10})\) \(q+(-2.30434 + 1.33041i) q^{2} +(-0.643938 + 1.60790i) q^{3} +(2.54000 - 4.39941i) q^{4} -3.38484 q^{5} +(-0.655319 - 4.56186i) q^{6} +(-1.66594 + 2.05540i) q^{7} +8.19533i q^{8} +(-2.17069 - 2.07078i) q^{9} +(7.79984 - 4.50324i) q^{10} +(2.78853 - 1.60996i) q^{11} +(5.43821 + 6.91701i) q^{12} +(-3.28889 - 1.47756i) q^{13} +(1.10436 - 6.95272i) q^{14} +(2.17963 - 5.44249i) q^{15} +(-5.82318 - 10.0860i) q^{16} +(0.544347 - 0.942836i) q^{17} +(7.75700 + 1.88386i) q^{18} +(2.80314 + 1.61839i) q^{19} +(-8.59749 + 14.8913i) q^{20} +(-2.23211 - 4.00221i) q^{21} +(-4.28381 + 7.41978i) q^{22} +(1.75284 - 1.01200i) q^{23} +(-13.1773 - 5.27728i) q^{24} +6.45716 q^{25} +(9.54450 - 0.970777i) q^{26} +(4.72739 - 2.15680i) q^{27} +(4.81105 + 12.5498i) q^{28} +(0.885409 - 0.511191i) q^{29} +(2.21815 + 15.4412i) q^{30} +2.28826i q^{31} +(12.6425 + 7.29914i) q^{32} +(0.793013 + 5.52038i) q^{33} +2.89682i q^{34} +(5.63893 - 6.95719i) q^{35} +(-14.6237 + 4.28998i) q^{36} +(1.22582 + 2.12317i) q^{37} -8.61253 q^{38} +(4.49361 - 4.33675i) q^{39} -27.7399i q^{40} +(-1.93014 - 3.34310i) q^{41} +(10.4681 + 6.25283i) q^{42} +(3.01311 - 5.21886i) q^{43} -16.3571i q^{44} +(7.34744 + 7.00925i) q^{45} +(-2.69276 + 4.66401i) q^{46} -6.68788 q^{47} +(19.9671 - 2.86831i) q^{48} +(-1.44931 - 6.84832i) q^{49} +(-14.8795 + 8.59069i) q^{50} +(1.16546 + 1.48238i) q^{51} +(-14.8542 + 10.7162i) q^{52} -2.52707i q^{53} +(-8.02409 + 11.2594i) q^{54} +(-9.43872 + 5.44945i) q^{55} +(-16.8447 - 13.6529i) q^{56} +(-4.40726 + 3.46503i) q^{57} +(-1.36019 + 2.35592i) q^{58} +(3.46439 - 6.00051i) q^{59} +(-18.4075 - 23.4130i) q^{60} +(-0.252606 - 0.145842i) q^{61} +(-3.04433 - 5.27293i) q^{62} +(7.87249 - 1.01185i) q^{63} -15.5508 q^{64} +(11.1324 + 5.00131i) q^{65} +(-9.17176 - 11.6658i) q^{66} +(-6.81532 - 11.8045i) q^{67} +(-2.76528 - 4.78961i) q^{68} +(0.498480 + 3.47006i) q^{69} +(-3.73810 + 23.5339i) q^{70} +(-5.91096 - 3.41269i) q^{71} +(16.9707 - 17.7895i) q^{72} -10.6670i q^{73} +(-5.64940 - 3.26168i) q^{74} +(-4.15801 + 10.3825i) q^{75} +(14.2399 - 8.22143i) q^{76} +(-1.33641 + 8.41361i) q^{77} +(-4.58515 + 15.9717i) q^{78} -10.9151 q^{79} +(19.7106 + 34.1397i) q^{80} +(0.423780 + 8.99002i) q^{81} +(8.89542 + 5.13577i) q^{82} +15.4795 q^{83} +(-23.2769 - 0.345626i) q^{84} +(-1.84253 + 3.19135i) q^{85} +16.0347i q^{86} +(0.251796 + 1.75283i) q^{87} +(13.1941 + 22.8529i) q^{88} +(-4.57003 - 7.91553i) q^{89} +(-26.2562 - 6.37658i) q^{90} +(8.51606 - 4.29845i) q^{91} -10.2819i q^{92} +(-3.67929 - 1.47349i) q^{93} +(15.4112 - 8.89764i) q^{94} +(-9.48819 - 5.47801i) q^{95} +(-19.8773 + 15.6277i) q^{96} +(-8.50800 - 4.91209i) q^{97} +(12.4508 + 13.8527i) q^{98} +(-9.38688 - 2.27970i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q + 32 q^{4} - 4 q^{7} - 10 q^{9} + O(q^{10}) \) \( 64 q + 32 q^{4} - 4 q^{7} - 10 q^{9} - 18 q^{15} - 16 q^{16} + 8 q^{18} - 44 q^{21} - 32 q^{22} + 48 q^{25} + 40 q^{28} - 40 q^{30} - 6 q^{36} + 12 q^{37} - 12 q^{42} + 40 q^{43} - 36 q^{46} - 24 q^{49} - 28 q^{51} - 68 q^{57} - 116 q^{60} + 4 q^{63} - 48 q^{64} - 28 q^{67} - 64 q^{70} + 62 q^{72} - 2 q^{78} + 56 q^{79} + 10 q^{81} + 28 q^{85} + 80 q^{88} - 16 q^{91} + 46 q^{93} - 32 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.30434 + 1.33041i −1.62942 + 0.940744i −0.645150 + 0.764056i \(0.723205\pi\)
−0.984267 + 0.176688i \(0.943462\pi\)
\(3\) −0.643938 + 1.60790i −0.371778 + 0.928322i
\(4\) 2.54000 4.39941i 1.27000 2.19970i
\(5\) −3.38484 −1.51375 −0.756874 0.653561i \(-0.773274\pi\)
−0.756874 + 0.653561i \(0.773274\pi\)
\(6\) −0.655319 4.56186i −0.267533 1.86237i
\(7\) −1.66594 + 2.05540i −0.629665 + 0.776867i
\(8\) 8.19533i 2.89749i
\(9\) −2.17069 2.07078i −0.723563 0.690258i
\(10\) 7.79984 4.50324i 2.46653 1.42405i
\(11\) 2.78853 1.60996i 0.840772 0.485420i −0.0167545 0.999860i \(-0.505333\pi\)
0.857527 + 0.514440i \(0.172000\pi\)
\(12\) 5.43821 + 6.91701i 1.56988 + 1.99677i
\(13\) −3.28889 1.47756i −0.912175 0.409802i
\(14\) 1.10436 6.95272i 0.295154 1.85819i
\(15\) 2.17963 5.44249i 0.562777 1.40525i
\(16\) −5.82318 10.0860i −1.45580 2.52151i
\(17\) 0.544347 0.942836i 0.132024 0.228671i −0.792433 0.609959i \(-0.791186\pi\)
0.924456 + 0.381288i \(0.124519\pi\)
\(18\) 7.75700 + 1.88386i 1.82834 + 0.444031i
\(19\) 2.80314 + 1.61839i 0.643084 + 0.371285i 0.785802 0.618479i \(-0.212251\pi\)
−0.142717 + 0.989763i \(0.545584\pi\)
\(20\) −8.59749 + 14.8913i −1.92246 + 3.32980i
\(21\) −2.23211 4.00221i −0.487087 0.873353i
\(22\) −4.28381 + 7.41978i −0.913312 + 1.58190i
\(23\) 1.75284 1.01200i 0.365493 0.211017i −0.305995 0.952033i \(-0.598989\pi\)
0.671487 + 0.741016i \(0.265656\pi\)
\(24\) −13.1773 5.27728i −2.68980 1.07722i
\(25\) 6.45716 1.29143
\(26\) 9.54450 0.970777i 1.87183 0.190385i
\(27\) 4.72739 2.15680i 0.909786 0.415077i
\(28\) 4.81105 + 12.5498i 0.909202 + 2.37170i
\(29\) 0.885409 0.511191i 0.164416 0.0949258i −0.415534 0.909578i \(-0.636405\pi\)
0.579950 + 0.814652i \(0.303072\pi\)
\(30\) 2.21815 + 15.4412i 0.404977 + 2.81916i
\(31\) 2.28826i 0.410983i 0.978659 + 0.205492i \(0.0658793\pi\)
−0.978659 + 0.205492i \(0.934121\pi\)
\(32\) 12.6425 + 7.29914i 2.23490 + 1.29032i
\(33\) 0.793013 + 5.52038i 0.138046 + 0.960975i
\(34\) 2.89682i 0.496801i
\(35\) 5.63893 6.95719i 0.953154 1.17598i
\(36\) −14.6237 + 4.28998i −2.43729 + 0.714996i
\(37\) 1.22582 + 2.12317i 0.201523 + 0.349048i 0.949019 0.315218i \(-0.102078\pi\)
−0.747496 + 0.664266i \(0.768744\pi\)
\(38\) −8.61253 −1.39714
\(39\) 4.49361 4.33675i 0.719554 0.694437i
\(40\) 27.7399i 4.38607i
\(41\) −1.93014 3.34310i −0.301438 0.522105i 0.675024 0.737796i \(-0.264133\pi\)
−0.976462 + 0.215690i \(0.930800\pi\)
\(42\) 10.4681 + 6.25283i 1.61527 + 0.964832i
\(43\) 3.01311 5.21886i 0.459495 0.795869i −0.539439 0.842025i \(-0.681364\pi\)
0.998934 + 0.0461557i \(0.0146970\pi\)
\(44\) 16.3571i 2.46593i
\(45\) 7.34744 + 7.00925i 1.09529 + 1.04488i
\(46\) −2.69276 + 4.66401i −0.397026 + 0.687670i
\(47\) −6.68788 −0.975527 −0.487763 0.872976i \(-0.662187\pi\)
−0.487763 + 0.872976i \(0.662187\pi\)
\(48\) 19.9671 2.86831i 2.88201 0.414005i
\(49\) −1.44931 6.84832i −0.207044 0.978332i
\(50\) −14.8795 + 8.59069i −2.10428 + 1.21491i
\(51\) 1.16546 + 1.48238i 0.163197 + 0.207575i
\(52\) −14.8542 + 10.7162i −2.05990 + 1.48607i
\(53\) 2.52707i 0.347119i −0.984823 0.173560i \(-0.944473\pi\)
0.984823 0.173560i \(-0.0555270\pi\)
\(54\) −8.02409 + 11.2594i −1.09194 + 1.53221i
\(55\) −9.43872 + 5.44945i −1.27272 + 0.734803i
\(56\) −16.8447 13.6529i −2.25096 1.82445i
\(57\) −4.40726 + 3.46503i −0.583756 + 0.458954i
\(58\) −1.36019 + 2.35592i −0.178602 + 0.309347i
\(59\) 3.46439 6.00051i 0.451026 0.781199i −0.547424 0.836855i \(-0.684392\pi\)
0.998450 + 0.0556557i \(0.0177249\pi\)
\(60\) −18.4075 23.4130i −2.37639 3.02260i
\(61\) −0.252606 0.145842i −0.0323429 0.0186732i 0.483741 0.875211i \(-0.339278\pi\)
−0.516084 + 0.856538i \(0.672611\pi\)
\(62\) −3.04433 5.27293i −0.386630 0.669663i
\(63\) 7.87249 1.01185i 0.991841 0.127481i
\(64\) −15.5508 −1.94385
\(65\) 11.1324 + 5.00131i 1.38080 + 0.620337i
\(66\) −9.17176 11.6658i −1.12897 1.43596i
\(67\) −6.81532 11.8045i −0.832624 1.44215i −0.895950 0.444154i \(-0.853504\pi\)
0.0633266 0.997993i \(-0.479829\pi\)
\(68\) −2.76528 4.78961i −0.335339 0.580825i
\(69\) 0.498480 + 3.47006i 0.0600100 + 0.417746i
\(70\) −3.73810 + 23.5339i −0.446788 + 2.81284i
\(71\) −5.91096 3.41269i −0.701502 0.405012i 0.106405 0.994323i \(-0.466066\pi\)
−0.807906 + 0.589311i \(0.799399\pi\)
\(72\) 16.9707 17.7895i 2.00002 2.09651i
\(73\) 10.6670i 1.24848i −0.781233 0.624239i \(-0.785409\pi\)
0.781233 0.624239i \(-0.214591\pi\)
\(74\) −5.64940 3.26168i −0.656729 0.379163i
\(75\) −4.15801 + 10.3825i −0.480125 + 1.19886i
\(76\) 14.2399 8.22143i 1.63343 0.943063i
\(77\) −1.33641 + 8.41361i −0.152298 + 0.958820i
\(78\) −4.58515 + 15.9717i −0.519166 + 1.80844i
\(79\) −10.9151 −1.22805 −0.614023 0.789288i \(-0.710450\pi\)
−0.614023 + 0.789288i \(0.710450\pi\)
\(80\) 19.7106 + 34.1397i 2.20371 + 3.81693i
\(81\) 0.423780 + 8.99002i 0.0470867 + 0.998891i
\(82\) 8.89542 + 5.13577i 0.982335 + 0.567151i
\(83\) 15.4795 1.69910 0.849548 0.527512i \(-0.176875\pi\)
0.849548 + 0.527512i \(0.176875\pi\)
\(84\) −23.2769 0.345626i −2.53972 0.0377109i
\(85\) −1.84253 + 3.19135i −0.199850 + 0.346151i
\(86\) 16.0347i 1.72907i
\(87\) 0.251796 + 1.75283i 0.0269954 + 0.187923i
\(88\) 13.1941 + 22.8529i 1.40650 + 2.43613i
\(89\) −4.57003 7.91553i −0.484423 0.839045i 0.515417 0.856939i \(-0.327637\pi\)
−0.999840 + 0.0178947i \(0.994304\pi\)
\(90\) −26.2562 6.37658i −2.76765 0.672151i
\(91\) 8.51606 4.29845i 0.892726 0.450600i
\(92\) 10.2819i 1.07197i
\(93\) −3.67929 1.47349i −0.381525 0.152794i
\(94\) 15.4112 8.89764i 1.58954 0.917721i
\(95\) −9.48819 5.47801i −0.973467 0.562032i
\(96\) −19.8773 + 15.6277i −2.02872 + 1.59499i
\(97\) −8.50800 4.91209i −0.863856 0.498748i 0.00144555 0.999999i \(-0.499540\pi\)
−0.865302 + 0.501251i \(0.832873\pi\)
\(98\) 12.4508 + 13.8527i 1.25772 + 1.39933i
\(99\) −9.38688 2.27970i −0.943417 0.229118i
\(100\) 16.4012 28.4077i 1.64012 2.84077i
\(101\) 7.99962 + 13.8557i 0.795991 + 1.37870i 0.922208 + 0.386695i \(0.126383\pi\)
−0.126216 + 0.992003i \(0.540283\pi\)
\(102\) −4.65781 1.86537i −0.461192 0.184700i
\(103\) 16.7072i 1.64621i −0.567888 0.823106i \(-0.692239\pi\)
0.567888 0.823106i \(-0.307761\pi\)
\(104\) 12.1091 26.9536i 1.18740 2.64301i
\(105\) 7.55535 + 13.5468i 0.737327 + 1.32204i
\(106\) 3.36204 + 5.82323i 0.326551 + 0.565602i
\(107\) −7.01005 + 4.04726i −0.677687 + 0.391263i −0.798983 0.601353i \(-0.794628\pi\)
0.121296 + 0.992616i \(0.461295\pi\)
\(108\) 2.51891 26.2760i 0.242382 2.52841i
\(109\) 0.474633 0.0454616 0.0227308 0.999742i \(-0.492764\pi\)
0.0227308 + 0.999742i \(0.492764\pi\)
\(110\) 14.5000 25.1148i 1.38252 2.39460i
\(111\) −4.20320 + 0.603797i −0.398950 + 0.0573099i
\(112\) 30.4319 + 4.83377i 2.87554 + 0.456748i
\(113\) 2.02802 + 1.17088i 0.190780 + 0.110147i 0.592348 0.805682i \(-0.298201\pi\)
−0.401568 + 0.915829i \(0.631535\pi\)
\(114\) 5.54593 13.8481i 0.519424 1.29699i
\(115\) −5.93309 + 3.42547i −0.553264 + 0.319427i
\(116\) 5.19370i 0.482223i
\(117\) 4.07946 + 10.0179i 0.377147 + 0.926154i
\(118\) 18.4363i 1.69720i
\(119\) 1.03106 + 2.68955i 0.0945167 + 0.246551i
\(120\) 44.6030 + 17.8628i 4.07168 + 1.63064i
\(121\) −0.316083 + 0.547472i −0.0287348 + 0.0497701i
\(122\) 0.776121 0.0702667
\(123\) 6.61827 0.950726i 0.596749 0.0857241i
\(124\) 10.0670 + 5.81217i 0.904040 + 0.521948i
\(125\) −4.93226 −0.441155
\(126\) −16.7948 + 12.8053i −1.49620 + 1.14079i
\(127\) −1.39557 2.41720i −0.123837 0.214492i 0.797441 0.603397i \(-0.206187\pi\)
−0.921278 + 0.388906i \(0.872853\pi\)
\(128\) 10.5493 6.09067i 0.932439 0.538344i
\(129\) 6.45115 + 8.20540i 0.567993 + 0.722446i
\(130\) −32.3066 + 3.28593i −2.83348 + 0.288195i
\(131\) −11.2651 −0.984240 −0.492120 0.870527i \(-0.663778\pi\)
−0.492120 + 0.870527i \(0.663778\pi\)
\(132\) 26.3007 + 10.5330i 2.28918 + 0.916778i
\(133\) −7.99629 + 3.06542i −0.693367 + 0.265806i
\(134\) 31.4097 + 18.1344i 2.71338 + 1.56657i
\(135\) −16.0015 + 7.30044i −1.37719 + 0.628321i
\(136\) 7.72686 + 4.46110i 0.662573 + 0.382537i
\(137\) −8.15516 4.70838i −0.696742 0.402264i 0.109391 0.993999i \(-0.465110\pi\)
−0.806133 + 0.591734i \(0.798443\pi\)
\(138\) −5.76528 7.33303i −0.490774 0.624229i
\(139\) 14.9501 + 8.63147i 1.26805 + 0.732112i 0.974620 0.223867i \(-0.0718682\pi\)
0.293435 + 0.955979i \(0.405202\pi\)
\(140\) −16.2846 42.4792i −1.37630 3.59015i
\(141\) 4.30657 10.7534i 0.362679 0.905603i
\(142\) 18.1612 1.52405
\(143\) −11.5500 + 1.17475i −0.965857 + 0.0982379i
\(144\) −8.24562 + 33.9522i −0.687135 + 2.82935i
\(145\) −2.99697 + 1.73030i −0.248885 + 0.143694i
\(146\) 14.1915 + 24.5804i 1.17450 + 2.03429i
\(147\) 11.9447 + 2.07955i 0.985181 + 0.171518i
\(148\) 12.4543 1.02374
\(149\) 7.22562 + 4.17171i 0.591946 + 0.341760i 0.765866 0.643000i \(-0.222310\pi\)
−0.173921 + 0.984760i \(0.555644\pi\)
\(150\) −4.23150 29.4566i −0.345501 2.40513i
\(151\) 6.59704 0.536859 0.268430 0.963299i \(-0.413495\pi\)
0.268430 + 0.963299i \(0.413495\pi\)
\(152\) −13.2633 + 22.9727i −1.07579 + 1.86333i
\(153\) −3.13401 + 0.919384i −0.253370 + 0.0743278i
\(154\) −8.11403 21.1658i −0.653847 1.70559i
\(155\) 7.74539i 0.622125i
\(156\) −7.66537 30.7846i −0.613721 2.46474i
\(157\) 8.67003i 0.691944i 0.938245 + 0.345972i \(0.112451\pi\)
−0.938245 + 0.345972i \(0.887549\pi\)
\(158\) 25.1522 14.5216i 2.00100 1.15528i
\(159\) 4.06327 + 1.62727i 0.322239 + 0.129051i
\(160\) −42.7928 24.7065i −3.38307 1.95322i
\(161\) −0.840055 + 5.28872i −0.0662056 + 0.416809i
\(162\) −12.9370 20.1523i −1.01642 1.58331i
\(163\) −8.17987 + 14.1680i −0.640697 + 1.10972i 0.344580 + 0.938757i \(0.388021\pi\)
−0.985277 + 0.170963i \(0.945312\pi\)
\(164\) −19.6102 −1.53130
\(165\) −2.68422 18.6856i −0.208967 1.45467i
\(166\) −35.6701 + 20.5941i −2.76853 + 1.59841i
\(167\) −4.09031 7.08463i −0.316518 0.548225i 0.663241 0.748406i \(-0.269180\pi\)
−0.979759 + 0.200181i \(0.935847\pi\)
\(168\) 32.7994 18.2929i 2.53053 1.41133i
\(169\) 8.63362 + 9.71908i 0.664125 + 0.747622i
\(170\) 9.80530i 0.752032i
\(171\) −2.73342 9.31770i −0.209029 0.712542i
\(172\) −15.3066 26.5118i −1.16712 2.02151i
\(173\) 10.1208 17.5298i 0.769471 1.33276i −0.168378 0.985722i \(-0.553853\pi\)
0.937850 0.347041i \(-0.112814\pi\)
\(174\) −2.91221 3.70412i −0.220774 0.280808i
\(175\) −10.7572 + 13.2720i −0.813170 + 1.00327i
\(176\) −32.4762 18.7501i −2.44799 1.41334i
\(177\) 7.41737 + 9.43435i 0.557523 + 0.709129i
\(178\) 21.0619 + 12.1601i 1.57865 + 0.911436i
\(179\) −16.1431 + 9.32025i −1.20660 + 0.696628i −0.962014 0.273001i \(-0.911984\pi\)
−0.244581 + 0.969629i \(0.578651\pi\)
\(180\) 49.4990 14.5209i 3.68944 1.08232i
\(181\) 2.05102i 0.152451i −0.997091 0.0762256i \(-0.975713\pi\)
0.997091 0.0762256i \(-0.0242869\pi\)
\(182\) −13.9052 + 21.2350i −1.03072 + 1.57404i
\(183\) 0.397162 0.312252i 0.0293591 0.0230823i
\(184\) 8.29370 + 14.3651i 0.611420 + 1.05901i
\(185\) −4.14919 7.18661i −0.305055 0.528370i
\(186\) 10.4387 1.49954i 0.765403 0.109951i
\(187\) 3.50550i 0.256347i
\(188\) −16.9872 + 29.4227i −1.23892 + 2.14587i
\(189\) −3.44245 + 13.3098i −0.250401 + 0.968142i
\(190\) 29.1521 2.11491
\(191\) 6.49901 + 3.75220i 0.470252 + 0.271500i 0.716345 0.697746i \(-0.245814\pi\)
−0.246093 + 0.969246i \(0.579147\pi\)
\(192\) 10.0137 25.0041i 0.722679 1.80452i
\(193\) 5.01060 + 8.67862i 0.360671 + 0.624701i 0.988071 0.153996i \(-0.0492144\pi\)
−0.627400 + 0.778697i \(0.715881\pi\)
\(194\) 26.1405 1.87678
\(195\) −15.2102 + 14.6792i −1.08922 + 1.05120i
\(196\) −33.8098 11.0186i −2.41498 0.787045i
\(197\) −8.88129 + 5.12761i −0.632766 + 0.365327i −0.781822 0.623501i \(-0.785710\pi\)
0.149057 + 0.988829i \(0.452376\pi\)
\(198\) 24.6635 7.23522i 1.75276 0.514185i
\(199\) −5.08494 2.93579i −0.360462 0.208113i 0.308821 0.951120i \(-0.400065\pi\)
−0.669283 + 0.743007i \(0.733399\pi\)
\(200\) 52.9186i 3.74191i
\(201\) 23.3691 3.35701i 1.64833 0.236785i
\(202\) −36.8677 21.2856i −2.59400 1.49765i
\(203\) −0.424335 + 2.67148i −0.0297825 + 0.187501i
\(204\) 9.48188 1.36209i 0.663864 0.0953653i
\(205\) 6.53323 + 11.3159i 0.456300 + 0.790336i
\(206\) 22.2275 + 38.4992i 1.54866 + 2.68237i
\(207\) −5.90050 1.43300i −0.410113 0.0996001i
\(208\) 4.24907 + 41.7760i 0.294620 + 2.89665i
\(209\) 10.4222 0.720917
\(210\) −35.4330 21.1648i −2.44511 1.46051i
\(211\) −10.7209 18.5692i −0.738060 1.27836i −0.953368 0.301812i \(-0.902409\pi\)
0.215307 0.976546i \(-0.430925\pi\)
\(212\) −11.1176 6.41875i −0.763560 0.440841i
\(213\) 9.29356 7.30667i 0.636784 0.500645i
\(214\) 10.7690 18.6525i 0.736157 1.27506i
\(215\) −10.1989 + 17.6650i −0.695560 + 1.20474i
\(216\) 17.6757 + 38.7425i 1.20268 + 2.63610i
\(217\) −4.70327 3.81209i −0.319279 0.258782i
\(218\) −1.09372 + 0.631458i −0.0740759 + 0.0427677i
\(219\) 17.1515 + 6.86889i 1.15899 + 0.464156i
\(220\) 55.3663i 3.73280i
\(221\) −3.18340 + 2.29658i −0.214138 + 0.154485i
\(222\) 8.88232 6.98335i 0.596142 0.468692i
\(223\) 23.4562 13.5425i 1.57074 0.906870i 0.574667 0.818387i \(-0.305132\pi\)
0.996078 0.0884825i \(-0.0282017\pi\)
\(224\) −36.0642 + 13.8254i −2.40964 + 0.923749i
\(225\) −14.0165 13.3713i −0.934432 0.891422i
\(226\) −6.23100 −0.414480
\(227\) 1.42315 2.46498i 0.0944581 0.163606i −0.814924 0.579568i \(-0.803221\pi\)
0.909382 + 0.415961i \(0.136555\pi\)
\(228\) 4.04962 + 28.1905i 0.268192 + 1.86696i
\(229\) 2.62153i 0.173236i −0.996242 0.0866178i \(-0.972394\pi\)
0.996242 0.0866178i \(-0.0276059\pi\)
\(230\) 9.11458 15.7869i 0.600998 1.04096i
\(231\) −12.6677 7.56665i −0.833473 0.497849i
\(232\) 4.18938 + 7.25622i 0.275046 + 0.476394i
\(233\) 12.1387i 0.795230i −0.917552 0.397615i \(-0.869838\pi\)
0.917552 0.397615i \(-0.130162\pi\)
\(234\) −22.7284 17.6573i −1.48580 1.15429i
\(235\) 22.6374 1.47670
\(236\) −17.5991 30.4826i −1.14560 1.98425i
\(237\) 7.02865 17.5504i 0.456560 1.14002i
\(238\) −5.95412 4.82593i −0.385948 0.312818i
\(239\) 29.6744i 1.91948i −0.280892 0.959739i \(-0.590630\pi\)
0.280892 0.959739i \(-0.409370\pi\)
\(240\) −67.5856 + 9.70879i −4.36263 + 0.626700i
\(241\) −15.8101 9.12796i −1.01842 0.587984i −0.104773 0.994496i \(-0.533411\pi\)
−0.913645 + 0.406512i \(0.866745\pi\)
\(242\) 1.68208i 0.108128i
\(243\) −14.7279 5.10761i −0.944798 0.327654i
\(244\) −1.28324 + 0.740877i −0.0821508 + 0.0474298i
\(245\) 4.90568 + 23.1805i 0.313413 + 1.48095i
\(246\) −13.9859 + 10.9958i −0.891709 + 0.701069i
\(247\) −6.82795 9.46453i −0.434452 0.602214i
\(248\) −18.7530 −1.19082
\(249\) −9.96783 + 24.8895i −0.631686 + 1.57731i
\(250\) 11.3656 6.56194i 0.718825 0.415014i
\(251\) 0.192204 0.332907i 0.0121318 0.0210129i −0.859896 0.510470i \(-0.829472\pi\)
0.872028 + 0.489457i \(0.162805\pi\)
\(252\) 15.5446 37.2044i 0.979218 2.34366i
\(253\) 3.25856 5.64399i 0.204864 0.354835i
\(254\) 6.43174 + 3.71337i 0.403563 + 0.232997i
\(255\) −3.94491 5.01763i −0.247040 0.314216i
\(256\) −0.655433 + 1.13524i −0.0409646 + 0.0709527i
\(257\) 1.97995 + 3.42937i 0.123506 + 0.213918i 0.921148 0.389213i \(-0.127253\pi\)
−0.797642 + 0.603131i \(0.793920\pi\)
\(258\) −25.7823 10.3254i −1.60513 0.642829i
\(259\) −6.40610 1.01754i −0.398055 0.0632267i
\(260\) 50.2790 36.2725i 3.11817 2.24953i
\(261\) −2.98051 0.723846i −0.184489 0.0448050i
\(262\) 25.9587 14.9873i 1.60374 0.925918i
\(263\) 8.45320 4.88046i 0.521247 0.300942i −0.216198 0.976350i \(-0.569366\pi\)
0.737445 + 0.675408i \(0.236032\pi\)
\(264\) −45.2414 + 6.49901i −2.78441 + 0.399986i
\(265\) 8.55373i 0.525451i
\(266\) 14.3479 17.7022i 0.879728 1.08539i
\(267\) 15.6702 2.25105i 0.959001 0.137762i
\(268\) −69.2436 −4.22973
\(269\) −8.89747 + 15.4109i −0.542488 + 0.939617i 0.456272 + 0.889840i \(0.349184\pi\)
−0.998760 + 0.0497769i \(0.984149\pi\)
\(270\) 27.1603 38.1113i 1.65292 2.31938i
\(271\) −6.34038 + 3.66062i −0.385150 + 0.222367i −0.680057 0.733159i \(-0.738045\pi\)
0.294906 + 0.955526i \(0.404712\pi\)
\(272\) −12.6793 −0.768797
\(273\) 1.42767 + 16.4609i 0.0864068 + 0.996260i
\(274\) 25.0564 1.51371
\(275\) 18.0060 10.3957i 1.08580 0.626887i
\(276\) 16.5323 + 6.62093i 0.995130 + 0.398533i
\(277\) 1.36503 2.36430i 0.0820165 0.142057i −0.822099 0.569344i \(-0.807197\pi\)
0.904116 + 0.427287i \(0.140531\pi\)
\(278\) −45.9337 −2.75492
\(279\) 4.73846 4.96709i 0.283684 0.297372i
\(280\) 57.0165 + 46.2129i 3.40739 + 2.76175i
\(281\) 9.40188i 0.560869i −0.959873 0.280435i \(-0.909521\pi\)
0.959873 0.280435i \(-0.0904786\pi\)
\(282\) 4.38269 + 30.5091i 0.260986 + 1.81679i
\(283\) 6.26828 3.61899i 0.372611 0.215127i −0.301988 0.953312i \(-0.597650\pi\)
0.674598 + 0.738185i \(0.264317\pi\)
\(284\) −30.0276 + 17.3365i −1.78181 + 1.02873i
\(285\) 14.9179 11.7286i 0.883660 0.694740i
\(286\) 25.0522 18.0733i 1.48137 1.06869i
\(287\) 10.0869 + 1.60219i 0.595411 + 0.0945745i
\(288\) −12.3280 42.0239i −0.726436 2.47628i
\(289\) 7.90737 + 13.6960i 0.465140 + 0.805645i
\(290\) 4.60403 7.97442i 0.270358 0.468274i
\(291\) 13.3768 10.5169i 0.784161 0.616513i
\(292\) −46.9285 27.0942i −2.74628 1.58557i
\(293\) −3.68173 + 6.37694i −0.215089 + 0.372545i −0.953300 0.302025i \(-0.902337\pi\)
0.738211 + 0.674570i \(0.235671\pi\)
\(294\) −30.2913 + 11.0994i −1.76662 + 0.647329i
\(295\) −11.7264 + 20.3108i −0.682739 + 1.18254i
\(296\) −17.4001 + 10.0460i −1.01136 + 0.583910i
\(297\) 9.71009 13.6252i 0.563436 0.790613i
\(298\) −22.2004 −1.28603
\(299\) −7.26020 + 0.738439i −0.419868 + 0.0427051i
\(300\) 35.1154 + 44.6642i 2.02739 + 2.57869i
\(301\) 5.70718 + 14.8874i 0.328956 + 0.858097i
\(302\) −15.2018 + 8.77678i −0.874767 + 0.505047i
\(303\) −27.4299 + 3.94036i −1.57581 + 0.226367i
\(304\) 37.6968i 2.16206i
\(305\) 0.855031 + 0.493653i 0.0489589 + 0.0282665i
\(306\) 5.99867 6.28810i 0.342921 0.359467i
\(307\) 9.95745i 0.568302i −0.958780 0.284151i \(-0.908288\pi\)
0.958780 0.284151i \(-0.0917117\pi\)
\(308\) 33.6204 + 27.2500i 1.91570 + 1.55271i
\(309\) 26.8636 + 10.7584i 1.52821 + 0.612025i
\(310\) 10.3046 + 17.8480i 0.585260 + 1.01370i
\(311\) −20.9881 −1.19013 −0.595064 0.803678i \(-0.702873\pi\)
−0.595064 + 0.803678i \(0.702873\pi\)
\(312\) 35.5412 + 36.8267i 2.01212 + 2.08490i
\(313\) 22.0868i 1.24842i 0.781257 + 0.624210i \(0.214579\pi\)
−0.781257 + 0.624210i \(0.785421\pi\)
\(314\) −11.5347 19.9787i −0.650942 1.12746i
\(315\) −26.6472 + 3.42494i −1.50140 + 0.192973i
\(316\) −27.7244 + 48.0200i −1.55962 + 2.70134i
\(317\) 10.6049i 0.595631i 0.954623 + 0.297815i \(0.0962580\pi\)
−0.954623 + 0.297815i \(0.903742\pi\)
\(318\) −11.5281 + 1.65604i −0.646465 + 0.0928659i
\(319\) 1.64599 2.85094i 0.0921578 0.159622i
\(320\) 52.6369 2.94249
\(321\) −1.99355 13.8776i −0.111269 0.774575i
\(322\) −5.10040 13.3046i −0.284234 0.741438i
\(323\) 3.05176 1.76193i 0.169805 0.0980367i
\(324\) 40.6271 + 20.9702i 2.25706 + 1.16501i
\(325\) −21.2369 9.54085i −1.17801 0.529231i
\(326\) 43.5304i 2.41093i
\(327\) −0.305634 + 0.763163i −0.0169016 + 0.0422030i
\(328\) 27.3979 15.8182i 1.51279 0.873412i
\(329\) 11.1416 13.7462i 0.614255 0.757854i
\(330\) 31.0450 + 39.4870i 1.70897 + 2.17369i
\(331\) 17.0049 29.4534i 0.934676 1.61891i 0.159465 0.987204i \(-0.449023\pi\)
0.775211 0.631702i \(-0.217644\pi\)
\(332\) 39.3179 68.1006i 2.15785 3.73751i
\(333\) 1.73575 7.14714i 0.0951187 0.391661i
\(334\) 18.8510 + 10.8836i 1.03148 + 0.595525i
\(335\) 23.0688 + 39.9563i 1.26038 + 2.18305i
\(336\) −27.3685 + 45.8188i −1.49307 + 2.49962i
\(337\) 0.165618 0.00902181 0.00451090 0.999990i \(-0.498564\pi\)
0.00451090 + 0.999990i \(0.498564\pi\)
\(338\) −32.8252 10.9098i −1.78546 0.593415i
\(339\) −3.18857 + 2.50688i −0.173180 + 0.136155i
\(340\) 9.36004 + 16.2121i 0.507619 + 0.879222i
\(341\) 3.68399 + 6.38086i 0.199499 + 0.345543i
\(342\) 18.6951 + 17.8346i 1.01092 + 0.964385i
\(343\) 16.4905 + 8.42997i 0.890402 + 0.455175i
\(344\) 42.7703 + 24.6934i 2.30602 + 1.33138i
\(345\) −1.68728 11.7456i −0.0908400 0.632362i
\(346\) 53.8595i 2.89550i
\(347\) 21.9910 + 12.6965i 1.18054 + 0.681584i 0.956139 0.292913i \(-0.0946246\pi\)
0.224400 + 0.974497i \(0.427958\pi\)
\(348\) 8.35095 + 3.34442i 0.447658 + 0.179280i
\(349\) 5.20985 3.00791i 0.278877 0.161010i −0.354038 0.935231i \(-0.615192\pi\)
0.632915 + 0.774221i \(0.281858\pi\)
\(350\) 7.13105 44.8948i 0.381171 2.39973i
\(351\) −18.7347 + 0.108482i −0.999983 + 0.00579037i
\(352\) 47.0052 2.50539
\(353\) −3.76624 6.52332i −0.200457 0.347201i 0.748219 0.663452i \(-0.230909\pi\)
−0.948676 + 0.316251i \(0.897576\pi\)
\(354\) −29.6437 11.8718i −1.57555 0.630981i
\(355\) 20.0077 + 11.5514i 1.06190 + 0.613086i
\(356\) −46.4315 −2.46087
\(357\) −4.98847 0.0740710i −0.264018 0.00392025i
\(358\) 24.7996 42.9541i 1.31070 2.27019i
\(359\) 4.80349i 0.253518i 0.991934 + 0.126759i \(0.0404575\pi\)
−0.991934 + 0.126759i \(0.959542\pi\)
\(360\) −57.4431 + 60.2147i −3.02752 + 3.17359i
\(361\) −4.26160 7.38132i −0.224295 0.388490i
\(362\) 2.72871 + 4.72626i 0.143418 + 0.248406i
\(363\) −0.676742 0.860767i −0.0355198 0.0451786i
\(364\) 2.72014 48.3837i 0.142574 2.53599i
\(365\) 36.1061i 1.88988i
\(366\) −0.499773 + 1.24793i −0.0261236 + 0.0652301i
\(367\) −16.6514 + 9.61370i −0.869197 + 0.501831i −0.867081 0.498167i \(-0.834007\pi\)
−0.00211583 + 0.999998i \(0.500673\pi\)
\(368\) −20.4142 11.7862i −1.06417 0.614396i
\(369\) −2.73308 + 11.2537i −0.142278 + 0.585846i
\(370\) 19.1223 + 11.0403i 0.994122 + 0.573957i
\(371\) 5.19413 + 4.20994i 0.269666 + 0.218569i
\(372\) −15.8279 + 12.4440i −0.820638 + 0.645192i
\(373\) 5.32366 9.22085i 0.275649 0.477437i −0.694650 0.719348i \(-0.744441\pi\)
0.970299 + 0.241911i \(0.0777741\pi\)
\(374\) 4.66376 + 8.07787i 0.241157 + 0.417697i
\(375\) 3.17607 7.93058i 0.164011 0.409534i
\(376\) 54.8094i 2.82658i
\(377\) −3.66733 + 0.373006i −0.188877 + 0.0192108i
\(378\) −9.77489 35.2501i −0.502766 1.81307i
\(379\) 4.21573 + 7.30186i 0.216548 + 0.375071i 0.953750 0.300600i \(-0.0971870\pi\)
−0.737203 + 0.675672i \(0.763854\pi\)
\(380\) −48.2000 + 27.8283i −2.47261 + 1.42756i
\(381\) 4.78527 0.687413i 0.245157 0.0352172i
\(382\) −19.9679 −1.02165
\(383\) −4.95943 + 8.58999i −0.253415 + 0.438928i −0.964464 0.264215i \(-0.914887\pi\)
0.711049 + 0.703143i \(0.248221\pi\)
\(384\) 3.00007 + 20.8843i 0.153097 + 1.06575i
\(385\) 4.52354 28.4788i 0.230541 1.45141i
\(386\) −23.0923 13.3323i −1.17537 0.678598i
\(387\) −17.3476 + 5.08905i −0.881829 + 0.258691i
\(388\) −43.2206 + 24.9534i −2.19419 + 1.26682i
\(389\) 26.0598i 1.32129i −0.750700 0.660643i \(-0.770284\pi\)
0.750700 0.660643i \(-0.229716\pi\)
\(390\) 15.5200 54.0618i 0.785887 2.73753i
\(391\) 2.20352i 0.111437i
\(392\) 56.1243 11.8776i 2.83470 0.599908i
\(393\) 7.25405 18.1132i 0.365918 0.913691i
\(394\) 13.6437 23.6316i 0.687359 1.19054i
\(395\) 36.9460 1.85895
\(396\) −33.8720 + 35.5063i −1.70213 + 1.78426i
\(397\) 20.7860 + 12.0008i 1.04322 + 0.602303i 0.920743 0.390169i \(-0.127583\pi\)
0.122475 + 0.992472i \(0.460917\pi\)
\(398\) 15.6233 0.783124
\(399\) 0.220220 14.8312i 0.0110248 0.742488i
\(400\) −37.6012 65.1272i −1.88006 3.25636i
\(401\) −16.6065 + 9.58774i −0.829287 + 0.478789i −0.853608 0.520915i \(-0.825591\pi\)
0.0243216 + 0.999704i \(0.492257\pi\)
\(402\) −49.3842 + 38.8262i −2.46306 + 1.93648i
\(403\) 3.38104 7.52583i 0.168422 0.374888i
\(404\) 81.2760 4.04363
\(405\) −1.43443 30.4298i −0.0712774 1.51207i
\(406\) −2.57636 6.72055i −0.127862 0.333535i
\(407\) 6.83644 + 3.94702i 0.338870 + 0.195646i
\(408\) −12.1486 + 9.55135i −0.601447 + 0.472862i
\(409\) 25.8770 + 14.9401i 1.27953 + 0.738739i 0.976762 0.214325i \(-0.0687551\pi\)
0.302771 + 0.953063i \(0.402088\pi\)
\(410\) −30.1096 17.3838i −1.48701 0.858524i
\(411\) 12.8220 10.0808i 0.632464 0.497248i
\(412\) −73.5019 42.4363i −3.62118 2.09069i
\(413\) 6.56196 + 17.1172i 0.322893 + 0.842281i
\(414\) 15.5033 4.54799i 0.761944 0.223522i
\(415\) −52.3957 −2.57200
\(416\) −30.7949 42.6862i −1.50984 2.09286i
\(417\) −23.5055 + 18.4802i −1.15107 + 0.904980i
\(418\) −24.0163 + 13.8658i −1.17467 + 0.678198i
\(419\) 2.02240 + 3.50289i 0.0988006 + 0.171128i 0.911188 0.411990i \(-0.135166\pi\)
−0.812388 + 0.583117i \(0.801833\pi\)
\(420\) 78.7886 + 1.16989i 3.84449 + 0.0570847i
\(421\) −29.0526 −1.41594 −0.707969 0.706243i \(-0.750388\pi\)
−0.707969 + 0.706243i \(0.750388\pi\)
\(422\) 49.4095 + 28.5266i 2.40522 + 1.38865i
\(423\) 14.5173 + 13.8491i 0.705855 + 0.673366i
\(424\) 20.7102 1.00577
\(425\) 3.51494 6.08805i 0.170499 0.295314i
\(426\) −11.6947 + 29.2014i −0.566608 + 1.41481i
\(427\) 0.720589 0.276242i 0.0348717 0.0133683i
\(428\) 41.1201i 1.98761i
\(429\) 5.54857 19.3277i 0.267888 0.933149i
\(430\) 54.2750i 2.61737i
\(431\) −1.46256 + 0.844407i −0.0704488 + 0.0406736i −0.534811 0.844972i \(-0.679617\pi\)
0.464362 + 0.885646i \(0.346284\pi\)
\(432\) −49.2821 35.1212i −2.37108 1.68977i
\(433\) −23.7649 13.7207i −1.14207 0.659373i −0.195126 0.980778i \(-0.562511\pi\)
−0.946942 + 0.321405i \(0.895845\pi\)
\(434\) 15.9096 + 2.52707i 0.763686 + 0.121303i
\(435\) −0.852291 5.93304i −0.0408642 0.284467i
\(436\) 1.20557 2.08810i 0.0577362 0.100002i
\(437\) 6.55128 0.313390
\(438\) −48.6614 + 6.99029i −2.32513 + 0.334009i
\(439\) −1.28479 + 0.741772i −0.0613195 + 0.0354029i −0.530346 0.847781i \(-0.677938\pi\)
0.469027 + 0.883184i \(0.344605\pi\)
\(440\) −44.6600 77.3535i −2.12908 3.68768i
\(441\) −11.0353 + 17.8668i −0.525492 + 0.850798i
\(442\) 4.28024 9.52734i 0.203590 0.453170i
\(443\) 35.2667i 1.67557i −0.546001 0.837785i \(-0.683850\pi\)
0.546001 0.837785i \(-0.316150\pi\)
\(444\) −8.01977 + 20.0252i −0.380602 + 0.950356i
\(445\) 15.4688 + 26.7928i 0.733294 + 1.27010i
\(446\) −36.0341 + 62.4129i −1.70626 + 2.95534i
\(447\) −11.3605 + 8.93175i −0.537335 + 0.422457i
\(448\) 25.9066 31.9630i 1.22397 1.51011i
\(449\) −21.9029 12.6457i −1.03366 0.596786i −0.115631 0.993292i \(-0.536889\pi\)
−0.918032 + 0.396507i \(0.870222\pi\)
\(450\) 50.0882 + 12.1644i 2.36118 + 0.573436i
\(451\) −10.7645 6.21489i −0.506881 0.292648i
\(452\) 10.3023 5.94805i 0.484581 0.279773i
\(453\) −4.24808 + 10.6074i −0.199592 + 0.498378i
\(454\) 7.57353i 0.355444i
\(455\) −28.8255 + 14.5496i −1.35136 + 0.682095i
\(456\) −28.3970 36.1190i −1.32981 1.69143i
\(457\) −4.95319 8.57918i −0.231701 0.401317i 0.726608 0.687052i \(-0.241096\pi\)
−0.958309 + 0.285735i \(0.907762\pi\)
\(458\) 3.48772 + 6.04091i 0.162970 + 0.282273i
\(459\) 0.539828 5.63120i 0.0251970 0.262842i
\(460\) 34.8028i 1.62269i
\(461\) 5.96058 10.3240i 0.277612 0.480838i −0.693179 0.720766i \(-0.743790\pi\)
0.970791 + 0.239928i \(0.0771237\pi\)
\(462\) 39.2575 + 0.582912i 1.82642 + 0.0271195i
\(463\) −20.3364 −0.945111 −0.472555 0.881301i \(-0.656668\pi\)
−0.472555 + 0.881301i \(0.656668\pi\)
\(464\) −10.3118 5.95352i −0.478713 0.276385i
\(465\) 12.4538 + 4.98755i 0.577532 + 0.231292i
\(466\) 16.1494 + 27.9716i 0.748108 + 1.29576i
\(467\) −25.5519 −1.18240 −0.591201 0.806524i \(-0.701346\pi\)
−0.591201 + 0.806524i \(0.701346\pi\)
\(468\) 54.4346 + 7.49818i 2.51624 + 0.346604i
\(469\) 35.6168 + 5.65733i 1.64463 + 0.261231i
\(470\) −52.1644 + 30.1171i −2.40616 + 1.38920i
\(471\) −13.9405 5.58296i −0.642347 0.257249i
\(472\) 49.1762 + 28.3919i 2.26352 + 1.30684i
\(473\) 19.4039i 0.892192i
\(474\) 7.15288 + 49.7932i 0.328543 + 2.28708i
\(475\) 18.1003 + 10.4502i 0.830500 + 0.479489i
\(476\) 14.4513 + 2.29543i 0.662375 + 0.105211i
\(477\) −5.23299 + 5.48548i −0.239602 + 0.251163i
\(478\) 39.4792 + 68.3801i 1.80574 + 3.12763i
\(479\) −9.37907 16.2450i −0.428541 0.742254i 0.568203 0.822888i \(-0.307639\pi\)
−0.996744 + 0.0806340i \(0.974305\pi\)
\(480\) 67.2814 52.8972i 3.07096 2.41442i
\(481\) −0.894454 8.79411i −0.0407836 0.400977i
\(482\) 48.5759 2.21257
\(483\) −7.96279 4.75633i −0.362319 0.216420i
\(484\) 1.60570 + 2.78115i 0.0729864 + 0.126416i
\(485\) 28.7982 + 16.6267i 1.30766 + 0.754978i
\(486\) 40.7335 7.82455i 1.84771 0.354929i
\(487\) −11.7937 + 20.4274i −0.534426 + 0.925652i 0.464765 + 0.885434i \(0.346139\pi\)
−0.999191 + 0.0402184i \(0.987195\pi\)
\(488\) 1.19522 2.07019i 0.0541053 0.0937131i
\(489\) −17.5133 22.2757i −0.791980 1.00734i
\(490\) −42.1440 46.8892i −1.90387 2.11824i
\(491\) 15.8828 9.16993i 0.716780 0.413833i −0.0967863 0.995305i \(-0.530856\pi\)
0.813566 + 0.581472i \(0.197523\pi\)
\(492\) 12.6278 31.5313i 0.569304 1.42154i
\(493\) 1.11306i 0.0501298i
\(494\) 28.3257 + 12.7255i 1.27443 + 0.572549i
\(495\) 31.7731 + 7.71641i 1.42810 + 0.346827i
\(496\) 23.0795 13.3249i 1.03630 0.598307i
\(497\) 16.8617 6.46403i 0.756352 0.289951i
\(498\) −10.1440 70.6153i −0.454564 3.16435i
\(499\) 32.3799 1.44952 0.724761 0.689001i \(-0.241950\pi\)
0.724761 + 0.689001i \(0.241950\pi\)
\(500\) −12.5279 + 21.6990i −0.560266 + 0.970409i
\(501\) 14.0253 2.01476i 0.626604 0.0900127i
\(502\) 1.02284i 0.0456517i
\(503\) 6.23000 10.7907i 0.277782 0.481132i −0.693051 0.720888i \(-0.743734\pi\)
0.970833 + 0.239756i \(0.0770674\pi\)
\(504\) 8.29241 + 64.5177i 0.369373 + 2.87385i
\(505\) −27.0774 46.8995i −1.20493 2.08700i
\(506\) 17.3409i 0.770898i
\(507\) −21.1868 + 7.62353i −0.940940 + 0.338573i
\(508\) −14.1790 −0.629090
\(509\) −15.9936 27.7017i −0.708904 1.22786i −0.965264 0.261276i \(-0.915857\pi\)
0.256360 0.966581i \(-0.417477\pi\)
\(510\) 15.7659 + 6.31400i 0.698128 + 0.279589i
\(511\) 21.9249 + 17.7706i 0.969902 + 0.786123i
\(512\) 20.8747i 0.922540i
\(513\) 16.7421 + 1.60496i 0.739181 + 0.0708606i
\(514\) −9.12497 5.26830i −0.402485 0.232375i
\(515\) 56.5513i 2.49195i
\(516\) 52.4848 7.53954i 2.31052 0.331910i
\(517\) −18.6493 + 10.7672i −0.820196 + 0.473540i
\(518\) 16.1156 6.17800i 0.708078 0.271446i
\(519\) 21.6690 + 27.5613i 0.951161 + 1.20981i
\(520\) −40.9874 + 91.2336i −1.79742 + 4.00086i
\(521\) −31.1694 −1.36555 −0.682777 0.730626i \(-0.739228\pi\)
−0.682777 + 0.730626i \(0.739228\pi\)
\(522\) 7.83113 2.29732i 0.342759 0.100551i
\(523\) −10.9140 + 6.30120i −0.477236 + 0.275532i −0.719264 0.694737i \(-0.755521\pi\)
0.242028 + 0.970269i \(0.422187\pi\)
\(524\) −28.6134 + 49.5599i −1.24998 + 2.16504i
\(525\) −14.4131 25.8429i −0.629040 1.12788i
\(526\) −12.9860 + 22.4925i −0.566219 + 0.980719i
\(527\) 2.15745 + 1.24561i 0.0939801 + 0.0542594i
\(528\) 51.0610 40.1446i 2.22214 1.74707i
\(529\) −9.45170 + 16.3708i −0.410943 + 0.711775i
\(530\) −11.3800 19.7107i −0.494315 0.856179i
\(531\) −19.9458 + 5.85125i −0.865575 + 0.253923i
\(532\) −6.82454 + 42.9651i −0.295881 + 1.86277i
\(533\) 1.40839 + 13.8470i 0.0610041 + 0.599781i
\(534\) −33.1147 + 26.0350i −1.43301 + 1.12665i
\(535\) 23.7279 13.6993i 1.02585 0.592273i
\(536\) 96.7417 55.8538i 4.17860 2.41252i
\(537\) −4.59086 31.9582i −0.198110 1.37910i
\(538\) 47.3492i 2.04137i
\(539\) −15.0669 16.7634i −0.648979 0.722051i
\(540\) −8.52612 + 88.9400i −0.366906 + 3.82737i
\(541\) −3.04743 −0.131019 −0.0655096 0.997852i \(-0.520867\pi\)
−0.0655096 + 0.997852i \(0.520867\pi\)
\(542\) 9.74027 16.8706i 0.418380 0.724656i
\(543\) 3.29784 + 1.32073i 0.141524 + 0.0566779i
\(544\) 13.7638 7.94653i 0.590118 0.340705i
\(545\) −1.60656 −0.0688174
\(546\) −25.1897 36.0322i −1.07802 1.54204i
\(547\) −28.3661 −1.21285 −0.606424 0.795141i \(-0.707397\pi\)
−0.606424 + 0.795141i \(0.707397\pi\)
\(548\) −41.4282 + 23.9186i −1.76972 + 1.02175i
\(549\) 0.246323 + 0.839668i 0.0105128 + 0.0358361i
\(550\) −27.6613 + 47.9107i −1.17948 + 2.04292i
\(551\) 3.30923 0.140978
\(552\) −28.4383 + 4.08521i −1.21041 + 0.173878i
\(553\) 18.1839 22.4349i 0.773258 0.954029i
\(554\) 7.26420i 0.308626i
\(555\) 14.2272 2.04376i 0.603910 0.0867528i
\(556\) 75.9467 43.8478i 3.22086 1.85956i
\(557\) −25.9904 + 15.0056i −1.10125 + 0.635807i −0.936549 0.350536i \(-0.885999\pi\)
−0.164701 + 0.986344i \(0.552666\pi\)
\(558\) −4.31076 + 17.7500i −0.182489 + 0.751418i
\(559\) −17.6210 + 12.7122i −0.745288 + 0.537669i
\(560\) −103.007 16.3616i −4.35285 0.691402i
\(561\) 5.63649 + 2.25732i 0.237973 + 0.0953042i
\(562\) 12.5084 + 21.6652i 0.527635 + 0.913890i
\(563\) −1.50734 + 2.61078i −0.0635266 + 0.110031i −0.896039 0.443974i \(-0.853568\pi\)
0.832513 + 0.554006i \(0.186901\pi\)
\(564\) −36.3701 46.2601i −1.53146 1.94790i
\(565\) −6.86453 3.96324i −0.288793 0.166735i
\(566\) −9.62951 + 16.6788i −0.404759 + 0.701063i
\(567\) −19.1840 14.1058i −0.805654 0.592386i
\(568\) 27.9682 48.4423i 1.17352 2.03259i
\(569\) 6.74147 3.89219i 0.282617 0.163169i −0.351991 0.936004i \(-0.614495\pi\)
0.634608 + 0.772835i \(0.281162\pi\)
\(570\) −18.7721 + 46.8736i −0.786277 + 1.96332i
\(571\) 15.5558 0.650988 0.325494 0.945544i \(-0.394469\pi\)
0.325494 + 0.945544i \(0.394469\pi\)
\(572\) −24.1687 + 53.7969i −1.01054 + 2.24936i
\(573\) −10.2181 + 8.03357i −0.426868 + 0.335607i
\(574\) −25.3753 + 9.72774i −1.05914 + 0.406028i
\(575\) 11.3184 6.53467i 0.472009 0.272514i
\(576\) 33.7559 + 32.2022i 1.40650 + 1.34176i
\(577\) 27.9686i 1.16435i 0.813064 + 0.582174i \(0.197798\pi\)
−0.813064 + 0.582174i \(0.802202\pi\)
\(578\) −36.4426 21.0401i −1.51581 0.875155i
\(579\) −17.1809 + 2.46806i −0.714013 + 0.102569i
\(580\) 17.5799i 0.729964i
\(581\) −25.7879 + 31.8165i −1.06986 + 1.31997i
\(582\) −16.8328 + 42.0313i −0.697743 + 1.74225i
\(583\) −4.06847 7.04679i −0.168499 0.291848i
\(584\) 87.4197 3.61745
\(585\) −13.8083 33.9090i −0.570905 1.40196i
\(586\) 19.5929i 0.809374i
\(587\) 13.0352 + 22.5776i 0.538019 + 0.931876i 0.999011 + 0.0444718i \(0.0141605\pi\)
−0.460992 + 0.887404i \(0.652506\pi\)
\(588\) 39.4882 47.2675i 1.62847 1.94928i
\(589\) −3.70330 + 6.41430i −0.152592 + 0.264297i
\(590\) 62.4040i 2.56913i
\(591\) −2.52570 17.5821i −0.103893 0.723231i
\(592\) 14.2763 24.7273i 0.586752 1.01628i
\(593\) −2.34601 −0.0963390 −0.0481695 0.998839i \(-0.515339\pi\)
−0.0481695 + 0.998839i \(0.515339\pi\)
\(594\) −4.24825 + 44.3155i −0.174308 + 1.81829i
\(595\) −3.48996 9.10372i −0.143074 0.373216i
\(596\) 36.7061 21.1923i 1.50354 0.868070i
\(597\) 7.99485 6.28562i 0.327208 0.257253i
\(598\) 15.7476 11.3607i 0.643966 0.464573i
\(599\) 17.1378i 0.700231i −0.936707 0.350116i \(-0.886142\pi\)
0.936707 0.350116i \(-0.113858\pi\)
\(600\) −85.0878 34.0763i −3.47370 1.39116i
\(601\) −17.1265 + 9.88800i −0.698605 + 0.403340i −0.806828 0.590787i \(-0.798817\pi\)
0.108223 + 0.994127i \(0.465484\pi\)
\(602\) −32.9577 26.7128i −1.34326 1.08873i
\(603\) −9.65049 + 39.7369i −0.392998 + 1.61821i
\(604\) 16.7565 29.0230i 0.681811 1.18093i
\(605\) 1.06989 1.85311i 0.0434972 0.0753394i
\(606\) 57.9656 45.5730i 2.35469 1.85128i
\(607\) 6.91470 + 3.99220i 0.280659 + 0.162039i 0.633722 0.773561i \(-0.281526\pi\)
−0.353063 + 0.935600i \(0.614860\pi\)
\(608\) 23.6258 + 40.9210i 0.958152 + 1.65957i
\(609\) −4.02223 2.40255i −0.162989 0.0973564i
\(610\) −2.62705 −0.106366
\(611\) 21.9957 + 9.88175i 0.889851 + 0.399773i
\(612\) −3.91563 + 16.1230i −0.158280 + 0.651734i
\(613\) −16.5224 28.6176i −0.667333 1.15585i −0.978647 0.205548i \(-0.934102\pi\)
0.311314 0.950307i \(-0.399231\pi\)
\(614\) 13.2475 + 22.9454i 0.534627 + 0.926001i
\(615\) −22.4018 + 3.21806i −0.903328 + 0.129765i
\(616\) −68.9523 10.9523i −2.77817 0.441282i
\(617\) −7.48058 4.31892i −0.301157 0.173873i 0.341806 0.939771i \(-0.388962\pi\)
−0.642962 + 0.765898i \(0.722295\pi\)
\(618\) −76.2160 + 10.9486i −3.06586 + 0.440416i
\(619\) 32.9245i 1.32335i −0.749791 0.661675i \(-0.769846\pi\)
0.749791 0.661675i \(-0.230154\pi\)
\(620\) −34.0751 19.6733i −1.36849 0.790098i
\(621\) 6.10367 8.56466i 0.244932 0.343688i
\(622\) 48.3639 27.9229i 1.93921 1.11961i
\(623\) 23.8829 + 3.79354i 0.956850 + 0.151985i
\(624\) −69.9079 20.0691i −2.79855 0.803406i
\(625\) −15.5909 −0.623635
\(626\) −29.3846 50.8956i −1.17444 2.03420i
\(627\) −6.71123 + 16.7578i −0.268021 + 0.669243i
\(628\) 38.1430 + 22.0219i 1.52207 + 0.878768i
\(629\) 2.66907 0.106423
\(630\) 56.8476 43.3440i 2.26486 1.72686i
\(631\) 13.3411 23.1075i 0.531102 0.919895i −0.468239 0.883602i \(-0.655111\pi\)
0.999341 0.0362937i \(-0.0115552\pi\)
\(632\) 89.4530i 3.55825i
\(633\) 36.7611 5.28079i 1.46112 0.209893i
\(634\) −14.1089 24.4373i −0.560336 0.970531i
\(635\) 4.72378 + 8.18183i 0.187458 + 0.324686i
\(636\) 17.4797 13.7427i 0.693117 0.544934i
\(637\) −5.35219 + 24.6648i −0.212062 + 0.977256i
\(638\) 8.75939i 0.346788i
\(639\) 5.76393 + 19.6482i 0.228018 + 0.777269i
\(640\) −35.7079 + 20.6160i −1.41148 + 0.814917i
\(641\) 22.5818 + 13.0376i 0.891927 + 0.514954i 0.874572 0.484895i \(-0.161142\pi\)
0.0173548 + 0.999849i \(0.494476\pi\)
\(642\) 23.0568 + 29.3266i 0.909980 + 1.15743i
\(643\) 1.05051 + 0.606510i 0.0414279 + 0.0239184i 0.520571 0.853818i \(-0.325719\pi\)
−0.479143 + 0.877737i \(0.659052\pi\)
\(644\) 21.1335 + 17.1291i 0.832775 + 0.674980i
\(645\) −21.8361 27.7740i −0.859797 1.09360i
\(646\) −4.68820 + 8.12020i −0.184455 + 0.319485i
\(647\) −10.5918 18.3456i −0.416407 0.721238i 0.579168 0.815208i \(-0.303378\pi\)
−0.995575 + 0.0939699i \(0.970044\pi\)
\(648\) −73.6762 + 3.47302i −2.89427 + 0.136433i
\(649\) 22.3101i 0.875748i
\(650\) 61.6304 6.26846i 2.41734 0.245869i
\(651\) 9.15808 5.10765i 0.358933 0.200185i
\(652\) 41.5537 + 71.9732i 1.62737 + 2.81869i
\(653\) −32.4811 + 18.7530i −1.27108 + 0.733860i −0.975192 0.221361i \(-0.928950\pi\)
−0.295892 + 0.955222i \(0.595617\pi\)
\(654\) −0.311036 2.16521i −0.0121625 0.0846663i
\(655\) 38.1307 1.48989
\(656\) −22.4791 + 38.9350i −0.877663 + 1.52016i
\(657\) −22.0890 + 23.1548i −0.861773 + 0.903353i
\(658\) −7.38585 + 46.4989i −0.287930 + 1.81272i
\(659\) 8.33880 + 4.81441i 0.324833 + 0.187543i 0.653545 0.756888i \(-0.273281\pi\)
−0.328712 + 0.944430i \(0.606614\pi\)
\(660\) −89.0236 35.6525i −3.46524 1.38777i
\(661\) −28.5146 + 16.4629i −1.10909 + 0.640333i −0.938593 0.345025i \(-0.887870\pi\)
−0.170496 + 0.985358i \(0.554537\pi\)
\(662\) 90.4944i 3.51716i
\(663\) −1.64277 6.59744i −0.0637997 0.256223i
\(664\) 126.860i 4.92311i
\(665\) 27.0662 10.3760i 1.04958 0.402363i
\(666\) 5.50888 + 18.7787i 0.213465 + 0.727661i
\(667\) 1.03465 1.79207i 0.0400620 0.0693894i
\(668\) −41.5576 −1.60791
\(669\) 6.67058 + 46.4358i 0.257900 + 1.79531i
\(670\) −106.317 61.3820i −4.10738 2.37139i
\(671\) −0.939197 −0.0362573
\(672\) 0.993218 66.8904i 0.0383142 2.58035i
\(673\) −1.11466 1.93064i −0.0429669 0.0744208i 0.843742 0.536749i \(-0.180348\pi\)
−0.886709 + 0.462328i \(0.847014\pi\)
\(674\) −0.381642 + 0.220341i −0.0147003 + 0.00848721i
\(675\) 30.5255 13.9268i 1.17493 0.536043i
\(676\) 64.6876 13.2964i 2.48798 0.511399i
\(677\) 26.7137 1.02669 0.513346 0.858182i \(-0.328406\pi\)
0.513346 + 0.858182i \(0.328406\pi\)
\(678\) 4.01238 10.0188i 0.154094 0.384771i
\(679\) 24.2701 9.30407i 0.931400 0.357057i
\(680\) −26.1542 15.1001i −1.00297 0.579064i
\(681\) 3.04701 + 3.87558i 0.116762 + 0.148513i
\(682\) −16.9784 9.80246i −0.650135 0.375356i
\(683\) 33.1691 + 19.1502i 1.26918 + 0.732761i 0.974833 0.222938i \(-0.0715647\pi\)
0.294346 + 0.955699i \(0.404898\pi\)
\(684\) −47.9352 11.6415i −1.83285 0.445125i
\(685\) 27.6039 + 15.9371i 1.05469 + 0.608927i
\(686\) −49.2150 + 2.51360i −1.87904 + 0.0959699i
\(687\) 4.21516 + 1.68810i 0.160818 + 0.0644051i
\(688\) −70.1836 −2.67572
\(689\) −3.73390 + 8.31125i −0.142250 + 0.316634i
\(690\) 19.5146 + 24.8211i 0.742907 + 0.944925i
\(691\) 22.3407 12.8984i 0.849880 0.490678i −0.0107304 0.999942i \(-0.503416\pi\)
0.860610 + 0.509264i \(0.170082\pi\)
\(692\) −51.4137 89.0512i −1.95446 3.38522i
\(693\) 20.3236 15.4959i 0.772031 0.588642i
\(694\) −67.5664 −2.56479
\(695\) −50.6039 29.2162i −1.91951 1.10823i
\(696\) −14.3650 + 2.06356i −0.544503 + 0.0782189i
\(697\) −4.20267 −0.159187
\(698\) −8.00352 + 13.8625i −0.302938 + 0.524703i
\(699\) 19.5178 + 7.81654i 0.738230 + 0.295649i
\(700\) 31.0657 + 81.0363i 1.17417 + 3.06288i
\(701\) 23.1263i 0.873468i −0.899591 0.436734i \(-0.856135\pi\)
0.899591 0.436734i \(-0.143865\pi\)
\(702\) 43.0268 25.1748i 1.62394 0.950163i
\(703\) 7.93541i 0.299290i
\(704\) −43.3637 + 25.0361i −1.63433 + 0.943582i
\(705\) −14.5771 + 36.3987i −0.549004 + 1.37085i
\(706\) 17.3574 + 10.0213i 0.653255 + 0.377157i
\(707\) −41.8059 6.64041i −1.57227 0.249738i
\(708\) 60.3456 8.66876i 2.26793 0.325792i
\(709\) 14.0371 24.3129i 0.527173 0.913090i −0.472326 0.881424i \(-0.656585\pi\)
0.999499 0.0316659i \(-0.0100812\pi\)
\(710\) −61.4727 −2.30703
\(711\) 23.6933 + 22.6028i 0.888569 + 0.847670i
\(712\) 64.8704 37.4530i 2.43112 1.40361i
\(713\) 2.31572 + 4.01095i 0.0867245 + 0.150211i
\(714\) 11.5937 6.46604i 0.433883 0.241986i
\(715\) 39.0948 3.97636i 1.46206 0.148707i
\(716\) 94.6937i 3.53887i
\(717\) 47.7135 + 19.1085i 1.78189 + 0.713619i
\(718\) −6.39062 11.0689i −0.238496 0.413087i
\(719\) 19.7955 34.2868i 0.738248 1.27868i −0.215036 0.976606i \(-0.568987\pi\)
0.953284 0.302076i \(-0.0976797\pi\)
\(720\) 27.9101 114.923i 1.04015 4.28292i
\(721\) 34.3400 + 27.8332i 1.27889 + 1.03656i
\(722\) 19.6404 + 11.3394i 0.730940 + 0.422008i
\(723\) 24.8576 19.5432i 0.924463 0.726820i
\(724\) −9.02327 5.20959i −0.335347 0.193613i
\(725\) 5.71723 3.30084i 0.212333 0.122590i
\(726\) 2.70462 + 1.08316i 0.100378 + 0.0401997i
\(727\) 35.6533i 1.32231i 0.750251 + 0.661153i \(0.229933\pi\)
−0.750251 + 0.661153i \(0.770067\pi\)
\(728\) 35.2273 + 69.7920i 1.30561 + 2.58666i
\(729\) 17.6964 20.3921i 0.655423 0.755262i
\(730\) −48.0361 83.2009i −1.77790 3.07940i
\(731\) −3.28035 5.68174i −0.121328 0.210147i
\(732\) −0.364932 2.54040i −0.0134883 0.0938957i
\(733\) 38.6905i 1.42907i −0.699602 0.714533i \(-0.746639\pi\)
0.699602 0.714533i \(-0.253361\pi\)
\(734\) 25.5804 44.3065i 0.944190 1.63538i
\(735\) −40.4309 7.03894i −1.49132 0.259635i
\(736\) 29.5470 1.08912
\(737\) −38.0094 21.9447i −1.40009 0.808345i
\(738\) −8.67416 29.5686i −0.319300 1.08843i
\(739\) −1.49884 2.59606i −0.0551356 0.0954977i 0.837140 0.546988i \(-0.184226\pi\)
−0.892276 + 0.451491i \(0.850892\pi\)
\(740\) −42.1558 −1.54968
\(741\) 19.6148 4.88410i 0.720568 0.179422i
\(742\) −17.5700 2.79080i −0.645015 0.102454i
\(743\) 29.4966 17.0299i 1.08213 0.624766i 0.150657 0.988586i \(-0.451861\pi\)
0.931469 + 0.363820i \(0.118528\pi\)
\(744\) 12.0758 30.1530i 0.442720 1.10546i
\(745\) −24.4576 14.1206i −0.896056 0.517338i
\(746\) 28.3307i 1.03726i
\(747\) −33.6012 32.0546i −1.22940 1.17281i
\(748\) −15.4221 8.90396i −0.563888 0.325561i
\(749\) 3.35959 21.1509i 0.122757 0.772837i
\(750\) 3.23220 + 22.5003i 0.118023 + 0.821594i
\(751\) 12.2626 + 21.2394i 0.447468 + 0.775037i 0.998220 0.0596313i \(-0.0189925\pi\)
−0.550752 + 0.834669i \(0.685659\pi\)
\(752\) 38.9447 + 67.4542i 1.42017 + 2.45980i
\(753\) 0.411514 + 0.523417i 0.0149964 + 0.0190744i
\(754\) 7.95454 5.73860i 0.289687 0.208988i
\(755\) −22.3299 −0.812669
\(756\) 49.8112 + 48.9515i 1.81162 + 1.78035i
\(757\) 4.80159 + 8.31660i 0.174517 + 0.302272i 0.939994 0.341191i \(-0.110830\pi\)
−0.765477 + 0.643463i \(0.777497\pi\)
\(758\) −19.4290 11.2173i −0.705692 0.407432i
\(759\) 6.97667 + 8.87382i 0.253237 + 0.322099i
\(760\) 44.8941 77.7589i 1.62848 2.82061i
\(761\) −5.76578 + 9.98662i −0.209009 + 0.362015i −0.951403 0.307949i \(-0.900357\pi\)
0.742393 + 0.669964i \(0.233691\pi\)
\(762\) −10.1124 + 7.95042i −0.366332 + 0.288013i
\(763\) −0.790708 + 0.975559i −0.0286256 + 0.0353176i
\(764\) 33.0149 19.0612i 1.19444 0.689609i
\(765\) 10.6081 3.11197i 0.383538 0.112514i
\(766\) 26.3924i 0.953596i
\(767\) −20.2601 + 14.6162i −0.731551 + 0.527759i
\(768\) −1.40330 1.78490i −0.0506373 0.0644070i
\(769\) −45.0366 + 26.0019i −1.62406 + 0.937652i −0.638242 + 0.769836i \(0.720338\pi\)
−0.985818 + 0.167815i \(0.946329\pi\)
\(770\) 27.4647 + 71.6430i 0.989760 + 2.58183i
\(771\) −6.78905 + 0.975260i −0.244502 + 0.0351231i
\(772\) 50.9077 1.83221
\(773\) −10.9472 + 18.9611i −0.393743 + 0.681983i −0.992940 0.118618i \(-0.962153\pi\)
0.599197 + 0.800602i \(0.295487\pi\)
\(774\) 33.2043 34.8064i 1.19350 1.25109i
\(775\) 14.7756i 0.530757i