Properties

Label 27.4.e.a.7.5
Level 27
Weight 4
Character 27.7
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) = 27.7
Dual form 27.4.e.a.4.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.932125 + 0.339266i) q^{2} +(1.23404 + 5.04749i) q^{3} +(-5.37460 + 4.50982i) q^{4} +(0.0250883 + 0.142283i) q^{5} +(-2.86272 - 4.28623i) q^{6} +(19.4381 + 16.3105i) q^{7} +(7.44756 - 12.8996i) q^{8} +(-23.9543 + 12.4576i) q^{9} +O(q^{10})\) \(q+(-0.932125 + 0.339266i) q^{2} +(1.23404 + 5.04749i) q^{3} +(-5.37460 + 4.50982i) q^{4} +(0.0250883 + 0.142283i) q^{5} +(-2.86272 - 4.28623i) q^{6} +(19.4381 + 16.3105i) q^{7} +(7.44756 - 12.8996i) q^{8} +(-23.9543 + 12.4576i) q^{9} +(-0.0716572 - 0.124114i) q^{10} +(11.3027 - 64.1008i) q^{11} +(-29.3957 - 21.5629i) q^{12} +(24.9207 + 9.07040i) q^{13} +(-23.6524 - 8.60876i) q^{14} +(-0.687211 + 0.302215i) q^{15} +(7.18090 - 40.7249i) q^{16} +(34.5011 + 59.7576i) q^{17} +(18.1020 - 19.7389i) q^{18} +(-15.9760 + 27.6712i) q^{19} +(-0.776510 - 0.651569i) q^{20} +(-58.3398 + 118.241i) q^{21} +(11.2117 + 63.5846i) q^{22} +(-25.9254 + 21.7540i) q^{23} +(74.3009 + 21.6730i) q^{24} +(117.442 - 42.7454i) q^{25} -26.3065 q^{26} +(-92.4400 - 105.536i) q^{27} -178.030 q^{28} +(40.6547 - 14.7971i) q^{29} +(0.538036 - 0.514850i) q^{30} +(-48.7783 + 40.9298i) q^{31} +(27.8152 + 157.748i) q^{32} +(337.496 - 22.0525i) q^{33} +(-52.4331 - 43.9966i) q^{34} +(-1.83304 + 3.17491i) q^{35} +(72.5633 - 174.984i) q^{36} +(-128.992 - 223.421i) q^{37} +(5.50371 - 31.2131i) q^{38} +(-15.0297 + 136.980i) q^{39} +(2.02223 + 0.736032i) q^{40} +(-356.758 - 129.849i) q^{41} +(14.2647 - 130.009i) q^{42} +(51.2384 - 290.587i) q^{43} +(228.336 + 395.489i) q^{44} +(-2.37347 - 3.09575i) q^{45} +(16.7854 - 29.0731i) q^{46} +(-228.972 - 192.130i) q^{47} +(214.420 - 14.0105i) q^{48} +(52.2461 + 296.302i) q^{49} +(-94.9686 + 79.6881i) q^{50} +(-259.050 + 247.887i) q^{51} +(-174.845 + 63.6383i) q^{52} +340.033 q^{53} +(121.970 + 67.0111i) q^{54} +9.40401 q^{55} +(355.165 - 129.269i) q^{56} +(-159.385 - 46.4912i) q^{57} +(-32.8751 + 27.5855i) q^{58} +(53.1307 + 301.319i) q^{59} +(2.33055 - 4.72349i) q^{60} +(515.642 + 432.675i) q^{61} +(31.5814 - 54.7005i) q^{62} +(-668.816 - 148.555i) q^{63} +(85.9670 + 148.899i) q^{64} +(-0.665344 + 3.77335i) q^{65} +(-307.107 + 135.057i) q^{66} +(161.847 + 58.9077i) q^{67} +(-454.926 - 165.580i) q^{68} +(-141.796 - 104.013i) q^{69} +(0.631481 - 3.58131i) q^{70} +(-523.492 - 906.714i) q^{71} +(-17.7040 + 401.778i) q^{72} +(87.6625 - 151.836i) q^{73} +(196.036 + 164.494i) q^{74} +(360.685 + 540.038i) q^{75} +(-38.9277 - 220.770i) q^{76} +(1265.22 - 1061.65i) q^{77} +(-32.4632 - 132.782i) q^{78} +(-85.3554 + 31.0668i) q^{79} +5.97461 q^{80} +(418.618 - 596.825i) q^{81} +376.597 q^{82} +(-909.434 + 331.007i) q^{83} +(-219.695 - 898.603i) q^{84} +(-7.63691 + 6.40813i) q^{85} +(50.8258 + 288.247i) q^{86} +(124.858 + 186.944i) q^{87} +(-742.694 - 623.194i) q^{88} +(-240.117 + 415.895i) q^{89} +(3.26266 + 2.08039i) q^{90} +(336.469 + 582.781i) q^{91} +(41.2320 - 233.838i) q^{92} +(-266.787 - 195.699i) q^{93} +(278.614 + 101.407i) q^{94} +(-4.33794 - 1.57888i) q^{95} +(-761.904 + 335.063i) q^{96} +(-174.496 + 989.614i) q^{97} +(-149.225 - 258.466i) q^{98} +(527.792 + 1676.29i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.932125 + 0.339266i −0.329556 + 0.119949i −0.501499 0.865158i \(-0.667218\pi\)
0.171943 + 0.985107i \(0.444996\pi\)
\(3\) 1.23404 + 5.04749i 0.237490 + 0.971390i
\(4\) −5.37460 + 4.50982i −0.671825 + 0.563728i
\(5\) 0.0250883 + 0.142283i 0.00224397 + 0.0127262i 0.985909 0.167281i \(-0.0534989\pi\)
−0.983665 + 0.180008i \(0.942388\pi\)
\(6\) −2.86272 4.28623i −0.194783 0.291641i
\(7\) 19.4381 + 16.3105i 1.04956 + 0.880685i 0.993047 0.117717i \(-0.0375575\pi\)
0.0565125 + 0.998402i \(0.482002\pi\)
\(8\) 7.44756 12.8996i 0.329139 0.570085i
\(9\) −23.9543 + 12.4576i −0.887197 + 0.461392i
\(10\) −0.0716572 0.124114i −0.00226600 0.00392483i
\(11\) 11.3027 64.1008i 0.309808 1.75701i −0.290152 0.956981i \(-0.593706\pi\)
0.599960 0.800030i \(-0.295183\pi\)
\(12\) −29.3957 21.5629i −0.707152 0.518724i
\(13\) 24.9207 + 9.07040i 0.531674 + 0.193514i 0.593886 0.804549i \(-0.297593\pi\)
−0.0622116 + 0.998063i \(0.519815\pi\)
\(14\) −23.6524 8.60876i −0.451526 0.164342i
\(15\) −0.687211 + 0.302215i −0.0118291 + 0.00520211i
\(16\) 7.18090 40.7249i 0.112202 0.636327i
\(17\) 34.5011 + 59.7576i 0.492220 + 0.852550i 0.999960 0.00896013i \(-0.00285214\pi\)
−0.507740 + 0.861511i \(0.669519\pi\)
\(18\) 18.1020 19.7389i 0.237038 0.258472i
\(19\) −15.9760 + 27.6712i −0.192902 + 0.334116i −0.946211 0.323551i \(-0.895123\pi\)
0.753309 + 0.657667i \(0.228457\pi\)
\(20\) −0.776510 0.651569i −0.00868165 0.00728477i
\(21\) −58.3398 + 118.241i −0.606228 + 1.22869i
\(22\) 11.2117 + 63.5846i 0.108652 + 0.616195i
\(23\) −25.9254 + 21.7540i −0.235036 + 0.197219i −0.752697 0.658367i \(-0.771247\pi\)
0.517661 + 0.855586i \(0.326803\pi\)
\(24\) 74.3009 + 21.6730i 0.631942 + 0.184332i
\(25\) 117.442 42.7454i 0.939536 0.341963i
\(26\) −26.3065 −0.198428
\(27\) −92.4400 105.536i −0.658892 0.752238i
\(28\) −178.030 −1.20159
\(29\) 40.6547 14.7971i 0.260324 0.0947501i −0.208561 0.978009i \(-0.566878\pi\)
0.468885 + 0.883259i \(0.344656\pi\)
\(30\) 0.538036 0.514850i 0.00327438 0.00313328i
\(31\) −48.7783 + 40.9298i −0.282608 + 0.237136i −0.773061 0.634331i \(-0.781276\pi\)
0.490454 + 0.871467i \(0.336831\pi\)
\(32\) 27.8152 + 157.748i 0.153658 + 0.871441i
\(33\) 337.496 22.0525i 1.78032 0.116329i
\(34\) −52.4331 43.9966i −0.264476 0.221922i
\(35\) −1.83304 + 3.17491i −0.00885257 + 0.0153331i
\(36\) 72.5633 174.984i 0.335941 0.810112i
\(37\) −128.992 223.421i −0.573140 0.992707i −0.996241 0.0866247i \(-0.972392\pi\)
0.423101 0.906082i \(-0.360941\pi\)
\(38\) 5.50371 31.2131i 0.0234953 0.133248i
\(39\) −15.0297 + 136.980i −0.0617096 + 0.562420i
\(40\) 2.02223 + 0.736032i 0.00799357 + 0.00290942i
\(41\) −356.758 129.849i −1.35893 0.494612i −0.443210 0.896418i \(-0.646160\pi\)
−0.915725 + 0.401806i \(0.868383\pi\)
\(42\) 14.2647 130.009i 0.0524070 0.477637i
\(43\) 51.2384 290.587i 0.181716 1.03056i −0.748387 0.663262i \(-0.769171\pi\)
0.930103 0.367299i \(-0.119718\pi\)
\(44\) 228.336 + 395.489i 0.782339 + 1.35505i
\(45\) −2.37347 3.09575i −0.00786259 0.0102553i
\(46\) 16.7854 29.0731i 0.0538014 0.0931868i
\(47\) −228.972 192.130i −0.710618 0.596279i 0.214155 0.976800i \(-0.431300\pi\)
−0.924772 + 0.380521i \(0.875745\pi\)
\(48\) 214.420 14.0105i 0.644768 0.0421301i
\(49\) 52.2461 + 296.302i 0.152321 + 0.863856i
\(50\) −94.9686 + 79.6881i −0.268612 + 0.225392i
\(51\) −259.050 + 247.887i −0.711261 + 0.680610i
\(52\) −174.845 + 63.6383i −0.466281 + 0.169712i
\(53\) 340.033 0.881268 0.440634 0.897687i \(-0.354754\pi\)
0.440634 + 0.897687i \(0.354754\pi\)
\(54\) 121.970 + 67.0111i 0.307372 + 0.168871i
\(55\) 9.40401 0.0230552
\(56\) 355.165 129.269i 0.847516 0.308471i
\(57\) −159.385 46.4912i −0.370369 0.108034i
\(58\) −32.8751 + 27.5855i −0.0744262 + 0.0624510i
\(59\) 53.1307 + 301.319i 0.117238 + 0.664889i 0.985618 + 0.168989i \(0.0540504\pi\)
−0.868380 + 0.495899i \(0.834839\pi\)
\(60\) 2.33055 4.72349i 0.00501454 0.0101633i
\(61\) 515.642 + 432.675i 1.08232 + 0.908170i 0.996111 0.0881073i \(-0.0280818\pi\)
0.0862041 + 0.996277i \(0.472526\pi\)
\(62\) 31.5814 54.7005i 0.0646909 0.112048i
\(63\) −668.816 148.555i −1.33751 0.297083i
\(64\) 85.9670 + 148.899i 0.167904 + 0.290819i
\(65\) −0.665344 + 3.77335i −0.00126963 + 0.00720041i
\(66\) −307.107 + 135.057i −0.572761 + 0.251884i
\(67\) 161.847 + 58.9077i 0.295117 + 0.107414i 0.485335 0.874328i \(-0.338698\pi\)
−0.190219 + 0.981742i \(0.560920\pi\)
\(68\) −454.926 165.580i −0.811292 0.295286i
\(69\) −141.796 104.013i −0.247395 0.181474i
\(70\) 0.631481 3.58131i 0.00107823 0.00611497i
\(71\) −523.492 906.714i −0.875028 1.51559i −0.856732 0.515761i \(-0.827509\pi\)
−0.0182959 0.999833i \(-0.505824\pi\)
\(72\) −17.7040 + 401.778i −0.0289783 + 0.657639i
\(73\) 87.6625 151.836i 0.140550 0.243439i −0.787154 0.616756i \(-0.788446\pi\)
0.927704 + 0.373317i \(0.121780\pi\)
\(74\) 196.036 + 164.494i 0.307956 + 0.258405i
\(75\) 360.685 + 540.038i 0.555310 + 0.831443i
\(76\) −38.9277 220.770i −0.0587542 0.333211i
\(77\) 1265.22 1061.65i 1.87254 1.57124i
\(78\) −32.4632 132.782i −0.0471248 0.192751i
\(79\) −85.3554 + 31.0668i −0.121560 + 0.0442442i −0.402084 0.915603i \(-0.631714\pi\)
0.280524 + 0.959847i \(0.409492\pi\)
\(80\) 5.97461 0.00834978
\(81\) 418.618 596.825i 0.574235 0.818690i
\(82\) 376.597 0.507173
\(83\) −909.434 + 331.007i −1.20269 + 0.437744i −0.864163 0.503213i \(-0.832151\pi\)
−0.338528 + 0.940956i \(0.609929\pi\)
\(84\) −219.695 898.603i −0.285365 1.16721i
\(85\) −7.63691 + 6.40813i −0.00974517 + 0.00817717i
\(86\) 50.8258 + 288.247i 0.0637289 + 0.361425i
\(87\) 124.858 + 186.944i 0.153864 + 0.230374i
\(88\) −742.694 623.194i −0.899675 0.754917i
\(89\) −240.117 + 415.895i −0.285982 + 0.495335i −0.972847 0.231450i \(-0.925653\pi\)
0.686865 + 0.726785i \(0.258986\pi\)
\(90\) 3.26266 + 2.08039i 0.00382127 + 0.00243658i
\(91\) 336.469 + 582.781i 0.387599 + 0.671342i
\(92\) 41.2320 233.838i 0.0467254 0.264993i
\(93\) −266.787 195.699i −0.297468 0.218205i
\(94\) 278.614 + 101.407i 0.305711 + 0.111270i
\(95\) −4.33794 1.57888i −0.00468488 0.00170516i
\(96\) −761.904 + 335.063i −0.810016 + 0.356221i
\(97\) −174.496 + 989.614i −0.182653 + 1.03588i 0.746281 + 0.665631i \(0.231838\pi\)
−0.928934 + 0.370246i \(0.879273\pi\)
\(98\) −149.225 258.466i −0.153817 0.266418i
\(99\) 527.792 + 1676.29i 0.535809 + 1.70176i
\(100\) −438.429 + 759.382i −0.438429 + 0.759382i
\(101\) 981.349 + 823.450i 0.966811 + 0.811251i 0.982048 0.188633i \(-0.0604057\pi\)
−0.0152366 + 0.999884i \(0.504850\pi\)
\(102\) 157.368 318.949i 0.152762 0.309614i
\(103\) −242.163 1373.38i −0.231661 1.31381i −0.849533 0.527535i \(-0.823116\pi\)
0.617872 0.786278i \(-0.287995\pi\)
\(104\) 302.603 253.914i 0.285314 0.239407i
\(105\) −18.2874 5.33428i −0.0169968 0.00495783i
\(106\) −316.954 + 115.362i −0.290427 + 0.105707i
\(107\) −968.304 −0.874855 −0.437427 0.899254i \(-0.644110\pi\)
−0.437427 + 0.899254i \(0.644110\pi\)
\(108\) 972.777 + 150.326i 0.866717 + 0.133936i
\(109\) 196.304 0.172501 0.0862503 0.996274i \(-0.472512\pi\)
0.0862503 + 0.996274i \(0.472512\pi\)
\(110\) −8.76572 + 3.19046i −0.00759798 + 0.00276544i
\(111\) 968.534 926.796i 0.828190 0.792501i
\(112\) 803.827 674.491i 0.678166 0.569049i
\(113\) 369.850 + 2097.52i 0.307898 + 1.74618i 0.609538 + 0.792757i \(0.291355\pi\)
−0.301640 + 0.953422i \(0.597534\pi\)
\(114\) 164.340 10.7382i 0.135016 0.00882213i
\(115\) −3.74565 3.14297i −0.00303725 0.00254855i
\(116\) −151.770 + 262.874i −0.121479 + 0.210407i
\(117\) −709.954 + 93.1766i −0.560985 + 0.0736254i
\(118\) −151.752 262.842i −0.118389 0.205056i
\(119\) −304.042 + 1724.31i −0.234214 + 1.32829i
\(120\) −1.21961 + 11.1155i −0.000927786 + 0.00845584i
\(121\) −2730.43 993.795i −2.05141 0.746653i
\(122\) −627.435 228.368i −0.465617 0.169471i
\(123\) 215.161 1960.97i 0.157727 1.43752i
\(124\) 77.5773 439.963i 0.0561826 0.318628i
\(125\) 18.0582 + 31.2778i 0.0129214 + 0.0223805i
\(126\) 673.820 88.4343i 0.476418 0.0625266i
\(127\) 989.454 1713.78i 0.691337 1.19743i −0.280063 0.959982i \(-0.590355\pi\)
0.971400 0.237449i \(-0.0763114\pi\)
\(128\) −1112.30 933.327i −0.768078 0.644494i
\(129\) 1529.97 99.9702i 1.04423 0.0682317i
\(130\) −0.659986 3.74297i −0.000445266 0.00252523i
\(131\) 1556.74 1306.26i 1.03826 0.871207i 0.0464529 0.998920i \(-0.485208\pi\)
0.991811 + 0.127714i \(0.0407638\pi\)
\(132\) −1714.45 + 1640.57i −1.13048 + 1.08177i
\(133\) −761.873 + 277.299i −0.496713 + 0.180789i
\(134\) −170.847 −0.110142
\(135\) 12.6968 15.8003i 0.00809457 0.0100732i
\(136\) 1027.80 0.648035
\(137\) −215.623 + 78.4805i −0.134467 + 0.0489419i −0.408377 0.912813i \(-0.633905\pi\)
0.273910 + 0.961755i \(0.411683\pi\)
\(138\) 167.460 + 48.8467i 0.103298 + 0.0301312i
\(139\) −603.337 + 506.260i −0.368161 + 0.308924i −0.808034 0.589136i \(-0.799468\pi\)
0.439872 + 0.898060i \(0.355024\pi\)
\(140\) −4.46646 25.3306i −0.00269632 0.0152916i
\(141\) 687.217 1392.83i 0.410454 0.831897i
\(142\) 795.577 + 667.568i 0.470164 + 0.394515i
\(143\) 863.091 1494.92i 0.504722 0.874205i
\(144\) 335.320 + 1064.99i 0.194051 + 0.616316i
\(145\) 3.12533 + 5.41323i 0.00178996 + 0.00310031i
\(146\) −30.1997 + 171.271i −0.0171188 + 0.0970855i
\(147\) −1431.11 + 629.360i −0.802966 + 0.353121i
\(148\) 1700.87 + 619.066i 0.944666 + 0.343830i
\(149\) −502.378 182.851i −0.276217 0.100535i 0.200197 0.979756i \(-0.435842\pi\)
−0.476415 + 0.879221i \(0.658064\pi\)
\(150\) −519.420 381.015i −0.282736 0.207398i
\(151\) −180.053 + 1021.13i −0.0970364 + 0.550321i 0.897068 + 0.441893i \(0.145693\pi\)
−0.994104 + 0.108428i \(0.965418\pi\)
\(152\) 237.964 + 412.165i 0.126983 + 0.219941i
\(153\) −1570.89 1001.65i −0.830056 0.529274i
\(154\) −819.164 + 1418.83i −0.428637 + 0.742421i
\(155\) −7.04738 5.91345i −0.00365199 0.00306439i
\(156\) −536.978 803.995i −0.275594 0.412635i
\(157\) 206.727 + 1172.41i 0.105087 + 0.595977i 0.991186 + 0.132480i \(0.0422942\pi\)
−0.886099 + 0.463496i \(0.846595\pi\)
\(158\) 69.0221 57.9164i 0.0347538 0.0291619i
\(159\) 419.614 + 1716.32i 0.209293 + 0.856054i
\(160\) −21.7469 + 7.91524i −0.0107453 + 0.00391097i
\(161\) −858.761 −0.420372
\(162\) −187.722 + 698.339i −0.0910421 + 0.338683i
\(163\) −1238.39 −0.595082 −0.297541 0.954709i \(-0.596167\pi\)
−0.297541 + 0.954709i \(0.596167\pi\)
\(164\) 2503.03 911.029i 1.19179 0.433777i
\(165\) 11.6049 + 47.4666i 0.00547539 + 0.0223956i
\(166\) 735.407 617.080i 0.343847 0.288522i
\(167\) −13.9583 79.1617i −0.00646784 0.0366809i 0.981403 0.191959i \(-0.0614839\pi\)
−0.987871 + 0.155278i \(0.950373\pi\)
\(168\) 1090.77 + 1633.17i 0.500922 + 0.750010i
\(169\) −1144.23 960.123i −0.520815 0.437015i
\(170\) 4.94450 8.56413i 0.00223074 0.00386376i
\(171\) 37.9773 861.865i 0.0169836 0.385430i
\(172\) 1035.11 + 1792.87i 0.458875 + 0.794795i
\(173\) 160.324 909.241i 0.0704577 0.399586i −0.929099 0.369830i \(-0.879416\pi\)
0.999557 0.0297557i \(-0.00947292\pi\)
\(174\) −179.807 131.895i −0.0783397 0.0574653i
\(175\) 2980.05 + 1084.65i 1.28726 + 0.468525i
\(176\) −2529.34 920.603i −1.08327 0.394279i
\(177\) −1455.34 + 640.016i −0.618023 + 0.271788i
\(178\) 82.7202 469.130i 0.0348323 0.197544i
\(179\) 435.913 + 755.023i 0.182020 + 0.315269i 0.942568 0.334013i \(-0.108403\pi\)
−0.760548 + 0.649282i \(0.775070\pi\)
\(180\) 26.7177 + 5.93446i 0.0110635 + 0.00245738i
\(181\) −125.378 + 217.160i −0.0514875 + 0.0891790i −0.890621 0.454747i \(-0.849730\pi\)
0.839133 + 0.543926i \(0.183063\pi\)
\(182\) −511.349 429.073i −0.208262 0.174753i
\(183\) −1547.60 + 3136.64i −0.625148 + 1.26703i
\(184\) 87.5359 + 496.441i 0.0350719 + 0.198903i
\(185\) 28.5528 23.9586i 0.0113472 0.00952147i
\(186\) 315.073 + 91.9042i 0.124206 + 0.0362298i
\(187\) 4220.47 1536.12i 1.65043 0.600709i
\(188\) 2097.11 0.813550
\(189\) −75.5120 3559.17i −0.0290619 1.36979i
\(190\) 4.57917 0.00174846
\(191\) −1963.89 + 714.797i −0.743989 + 0.270790i −0.686074 0.727531i \(-0.740668\pi\)
−0.0579152 + 0.998322i \(0.518445\pi\)
\(192\) −645.481 + 617.665i −0.242623 + 0.232167i
\(193\) −1899.00 + 1593.45i −0.708255 + 0.594296i −0.924109 0.382129i \(-0.875191\pi\)
0.215854 + 0.976426i \(0.430746\pi\)
\(194\) −173.090 981.645i −0.0640576 0.363289i
\(195\) −19.8670 + 1.29814i −0.00729593 + 0.000476726i
\(196\) −1617.07 1356.89i −0.589313 0.494492i
\(197\) 891.507 1544.14i 0.322423 0.558452i −0.658565 0.752524i \(-0.728836\pi\)
0.980987 + 0.194072i \(0.0621694\pi\)
\(198\) −1060.68 1383.45i −0.380703 0.496555i
\(199\) −2167.76 3754.67i −0.772202 1.33749i −0.936354 0.351058i \(-0.885822\pi\)
0.164151 0.986435i \(-0.447511\pi\)
\(200\) 323.260 1833.30i 0.114290 0.648169i
\(201\) −97.6101 + 889.618i −0.0342532 + 0.312183i
\(202\) −1194.11 434.620i −0.415927 0.151385i
\(203\) 1031.60 + 375.472i 0.356670 + 0.129817i
\(204\) 274.366 2500.57i 0.0941639 0.858209i
\(205\) 9.52489 54.0183i 0.00324511 0.0184039i
\(206\) 691.666 + 1198.00i 0.233935 + 0.405188i
\(207\) 350.023 844.071i 0.117528 0.283415i
\(208\) 548.344 949.760i 0.182793 0.316606i
\(209\) 1593.17 + 1336.83i 0.527282 + 0.442442i
\(210\) 18.8559 1.23207i 0.00619609 0.000404861i
\(211\) 459.648 + 2606.80i 0.149969 + 0.850517i 0.963242 + 0.268635i \(0.0865725\pi\)
−0.813273 + 0.581882i \(0.802316\pi\)
\(212\) −1827.54 + 1533.49i −0.592058 + 0.496795i
\(213\) 3930.62 3761.24i 1.26442 1.20993i
\(214\) 902.581 328.513i 0.288314 0.104938i
\(215\) 42.6311 0.0135229
\(216\) −2049.82 + 406.448i −0.645706 + 0.128034i
\(217\) −1615.74 −0.505456
\(218\) −182.980 + 66.5994i −0.0568486 + 0.0206912i
\(219\) 874.569 + 255.104i 0.269853 + 0.0787140i
\(220\) −50.5428 + 42.4104i −0.0154891 + 0.0129969i
\(221\) 317.766 + 1802.14i 0.0967207 + 0.548530i
\(222\) −588.365 + 1192.48i −0.177876 + 0.360514i
\(223\) 2524.84 + 2118.59i 0.758187 + 0.636194i 0.937654 0.347570i \(-0.112993\pi\)
−0.179467 + 0.983764i \(0.557437\pi\)
\(224\) −2032.27 + 3520.00i −0.606191 + 1.04995i
\(225\) −2280.74 + 2486.98i −0.675774 + 0.736882i
\(226\) −1056.36 1829.68i −0.310922 0.538532i
\(227\) 669.392 3796.31i 0.195723 1.11000i −0.715663 0.698446i \(-0.753875\pi\)
0.911386 0.411554i \(-0.135014\pi\)
\(228\) 1066.30 468.926i 0.309725 0.136208i
\(229\) −1449.35 527.520i −0.418235 0.152225i 0.124326 0.992241i \(-0.460323\pi\)
−0.542561 + 0.840016i \(0.682545\pi\)
\(230\) 4.55772 + 1.65887i 0.00130664 + 0.000475578i
\(231\) 6919.97 + 5076.08i 1.97100 + 1.44581i
\(232\) 111.902 634.630i 0.0316670 0.179593i
\(233\) 1201.12 + 2080.39i 0.337715 + 0.584940i 0.984003 0.178154i \(-0.0570125\pi\)
−0.646287 + 0.763094i \(0.723679\pi\)
\(234\) 630.154 327.715i 0.176045 0.0915531i
\(235\) 21.5923 37.3990i 0.00599374 0.0103815i
\(236\) −1644.45 1379.86i −0.453580 0.380599i
\(237\) −262.141 392.493i −0.0718477 0.107575i
\(238\) −301.593 1710.42i −0.0821403 0.465841i
\(239\) −5500.18 + 4615.20i −1.48861 + 1.24909i −0.592251 + 0.805753i \(0.701761\pi\)
−0.896355 + 0.443336i \(0.853795\pi\)
\(240\) 7.37289 + 30.1568i 0.00198299 + 0.00811089i
\(241\) −1960.54 + 713.578i −0.524023 + 0.190729i −0.590468 0.807061i \(-0.701057\pi\)
0.0664447 + 0.997790i \(0.478834\pi\)
\(242\) 2882.26 0.765615
\(243\) 3529.06 + 1376.46i 0.931643 + 0.363375i
\(244\) −4722.66 −1.23909
\(245\) −40.8480 + 14.8675i −0.0106518 + 0.00387693i
\(246\) 464.735 + 1900.87i 0.120449 + 0.492663i
\(247\) −649.121 + 544.677i −0.167217 + 0.140312i
\(248\) 164.697 + 934.045i 0.0421705 + 0.239161i
\(249\) −2793.03 4181.88i −0.710847 1.06432i
\(250\) −27.4440 23.0282i −0.00694284 0.00582574i
\(251\) −1447.18 + 2506.59i −0.363925 + 0.630337i −0.988603 0.150545i \(-0.951897\pi\)
0.624678 + 0.780883i \(0.285230\pi\)
\(252\) 4264.58 2217.82i 1.06604 0.554402i
\(253\) 1101.42 + 1907.72i 0.273699 + 0.474061i
\(254\) −340.866 + 1933.15i −0.0842042 + 0.477546i
\(255\) −41.7692 30.6394i −0.0102576 0.00752436i
\(256\) 60.9233 + 22.1743i 0.0148739 + 0.00541364i
\(257\) −259.176 94.3324i −0.0629065 0.0228961i 0.310375 0.950614i \(-0.399545\pi\)
−0.373282 + 0.927718i \(0.621768\pi\)
\(258\) −1392.20 + 612.250i −0.335949 + 0.147740i
\(259\) 1136.75 6446.81i 0.272718 1.54666i
\(260\) −13.4412 23.2808i −0.00320611 0.00555314i
\(261\) −789.519 + 860.913i −0.187241 + 0.204173i
\(262\) −1007.90 + 1745.74i −0.237666 + 0.411650i
\(263\) −165.731 139.065i −0.0388571 0.0326050i 0.623152 0.782101i \(-0.285852\pi\)
−0.662009 + 0.749496i \(0.730296\pi\)
\(264\) 2229.05 4517.78i 0.519655 1.05322i
\(265\) 8.53086 + 48.3809i 0.00197753 + 0.0112152i
\(266\) 616.083 516.955i 0.142009 0.119160i
\(267\) −2395.54 698.759i −0.549081 0.160162i
\(268\) −1135.53 + 413.299i −0.258819 + 0.0942023i
\(269\) 1941.22 0.439993 0.219996 0.975501i \(-0.429395\pi\)
0.219996 + 0.975501i \(0.429395\pi\)
\(270\) −6.47450 + 19.0355i −0.00145935 + 0.00429061i
\(271\) 4238.26 0.950023 0.475011 0.879980i \(-0.342444\pi\)
0.475011 + 0.879980i \(0.342444\pi\)
\(272\) 2681.37 975.940i 0.597728 0.217555i
\(273\) −2526.37 + 2417.50i −0.560083 + 0.535947i
\(274\) 174.362 146.307i 0.0384438 0.0322582i
\(275\) −1412.60 8011.26i −0.309757 1.75672i
\(276\) 1231.18 80.4469i 0.268508 0.0175447i
\(277\) 1020.73 + 856.496i 0.221407 + 0.185783i 0.746744 0.665112i \(-0.231616\pi\)
−0.525336 + 0.850895i \(0.676061\pi\)
\(278\) 390.629 676.590i 0.0842748 0.145968i
\(279\) 658.563 1588.10i 0.141316 0.340779i
\(280\) 27.3033 + 47.2907i 0.00582745 + 0.0100934i
\(281\) 448.263 2542.23i 0.0951643 0.539703i −0.899533 0.436854i \(-0.856093\pi\)
0.994697 0.102850i \(-0.0327961\pi\)
\(282\) −168.032 + 1531.44i −0.0354828 + 0.323390i
\(283\) 119.523 + 43.5028i 0.0251056 + 0.00913771i 0.354542 0.935040i \(-0.384637\pi\)
−0.329437 + 0.944178i \(0.606859\pi\)
\(284\) 6902.68 + 2512.37i 1.44225 + 0.524936i
\(285\) 2.61621 23.8441i 0.000543758 0.00495580i
\(286\) −297.335 + 1686.27i −0.0614747 + 0.348640i
\(287\) −4816.80 8342.94i −0.990686 1.71592i
\(288\) −2631.45 3432.22i −0.538401 0.702242i
\(289\) 75.8493 131.375i 0.0154385 0.0267403i
\(290\) −4.74973 3.98549i −0.000961771 0.000807022i
\(291\) −5210.40 + 340.455i −1.04962 + 0.0685836i
\(292\) 213.602 + 1211.40i 0.0428087 + 0.242780i
\(293\) 1169.51 981.339i 0.233187 0.195667i −0.518705 0.854953i \(-0.673586\pi\)
0.751892 + 0.659286i \(0.229141\pi\)
\(294\) 1120.45 1072.17i 0.222266 0.212688i
\(295\) −41.5396 + 15.1192i −0.00819841 + 0.00298398i
\(296\) −3842.71 −0.754570
\(297\) −7809.76 + 4732.63i −1.52582 + 0.924630i
\(298\) 530.314 0.103088
\(299\) −843.398 + 306.972i −0.163127 + 0.0593734i
\(300\) −4374.01 1275.86i −0.841779 0.245540i
\(301\) 5735.61 4812.75i 1.09832 0.921602i
\(302\) −178.603 1012.91i −0.0340313 0.193001i
\(303\) −2945.33 + 5969.52i −0.558432 + 1.13181i
\(304\) 1012.18 + 849.323i 0.190963 + 0.160237i
\(305\) −48.6257 + 84.2221i −0.00912885 + 0.0158116i
\(306\) 1804.09 + 400.719i 0.337036 + 0.0748613i
\(307\) 1999.50 + 3463.24i 0.371719 + 0.643836i 0.989830 0.142255i \(-0.0454352\pi\)
−0.618111 + 0.786091i \(0.712102\pi\)
\(308\) −2012.22 + 11411.8i −0.372262 + 2.11120i
\(309\) 6633.27 2917.11i 1.22121 0.537051i
\(310\) 8.57527 + 3.12114i 0.00157111 + 0.000571836i
\(311\) 6718.66 + 2445.39i 1.22502 + 0.445870i 0.871888 0.489705i \(-0.162895\pi\)
0.353129 + 0.935575i \(0.385118\pi\)
\(312\) 1655.05 + 1214.04i 0.300316 + 0.220294i
\(313\) −1557.46 + 8832.81i −0.281255 + 1.59508i 0.437107 + 0.899410i \(0.356003\pi\)
−0.718362 + 0.695669i \(0.755108\pi\)
\(314\) −590.454 1022.70i −0.106119 0.183803i
\(315\) 4.35741 98.8881i 0.000779405 0.0176880i
\(316\) 318.645 551.910i 0.0567253 0.0982511i
\(317\) 469.124 + 393.641i 0.0831186 + 0.0697448i 0.683400 0.730044i \(-0.260500\pi\)
−0.600282 + 0.799789i \(0.704945\pi\)
\(318\) −973.420 1457.46i −0.171656 0.257014i
\(319\) −488.998 2773.25i −0.0858265 0.486746i
\(320\) −19.0290 + 15.9673i −0.00332424 + 0.00278937i
\(321\) −1194.92 4887.50i −0.207770 0.849825i
\(322\) 800.473 291.348i 0.138536 0.0504230i
\(323\) −2204.75 −0.379801
\(324\) 441.674 + 5095.59i 0.0757329 + 0.873729i
\(325\) 3314.46 0.565701
\(326\) 1154.34 420.144i 0.196113 0.0713793i
\(327\) 242.247 + 990.845i 0.0409672 + 0.167565i
\(328\) −4331.98 + 3634.96i −0.729249 + 0.611912i
\(329\) −1317.04 7469.31i −0.220702 1.25166i
\(330\) −26.9210 40.3077i −0.00449077 0.00672384i
\(331\) −2453.42 2058.67i −0.407409 0.341857i 0.415940 0.909392i \(-0.363453\pi\)
−0.823349 + 0.567535i \(0.807897\pi\)
\(332\) 3395.06 5880.42i 0.561229 0.972078i
\(333\) 5873.20 + 3744.96i 0.966514 + 0.616284i
\(334\) 39.8678 + 69.0530i 0.00653134 + 0.0113126i
\(335\) −4.32107 + 24.5060i −0.000704732 + 0.00399674i
\(336\) 4396.44 + 3224.96i 0.713826 + 0.523620i
\(337\) 2923.35 + 1064.01i 0.472537 + 0.171989i 0.567301 0.823510i \(-0.307988\pi\)
−0.0947645 + 0.995500i \(0.530210\pi\)
\(338\) 1392.30 + 506.757i 0.224057 + 0.0815501i
\(339\) −10130.8 + 4455.23i −1.62310 + 0.713790i
\(340\) 12.1458 68.8823i 0.00193735 0.0109873i
\(341\) 2072.31 + 3589.34i 0.329096 + 0.570011i
\(342\) 257.002 + 816.251i 0.0406347 + 0.129058i
\(343\) 534.474 925.736i 0.0841367 0.145729i
\(344\) −3366.85 2825.12i −0.527698 0.442791i
\(345\) 11.2419 22.7847i 0.00175432 0.00355561i
\(346\) 159.033 + 901.919i 0.0247100 + 0.140137i
\(347\) −1464.76 + 1229.08i −0.226607 + 0.190146i −0.749021 0.662546i \(-0.769476\pi\)
0.522414 + 0.852692i \(0.325031\pi\)
\(348\) −1514.14 441.663i −0.233238 0.0680335i
\(349\) −7952.27 + 2894.39i −1.21970 + 0.443934i −0.870058 0.492949i \(-0.835919\pi\)
−0.349642 + 0.936883i \(0.613697\pi\)
\(350\) −3145.76 −0.480423
\(351\) −1346.42 3468.50i −0.204748 0.527450i
\(352\) 10426.1 1.57873
\(353\) −2673.18 + 972.958i −0.403057 + 0.146701i −0.535591 0.844478i \(-0.679911\pi\)
0.132534 + 0.991178i \(0.457689\pi\)
\(354\) 1139.42 1090.32i 0.171073 0.163701i
\(355\) 115.876 97.2318i 0.0173242 0.0145367i
\(356\) −585.080 3318.15i −0.0871044 0.493994i
\(357\) −9078.62 + 593.210i −1.34591 + 0.0879440i
\(358\) −662.479 555.886i −0.0978019 0.0820656i
\(359\) 645.056 1117.27i 0.0948323 0.164254i −0.814706 0.579874i \(-0.803102\pi\)
0.909539 + 0.415619i \(0.136435\pi\)
\(360\) −57.6103 + 7.56096i −0.00843425 + 0.00110694i
\(361\) 2919.04 + 5055.92i 0.425578 + 0.737122i
\(362\) 43.1925 244.957i 0.00627113 0.0355654i
\(363\) 1646.72 15008.2i 0.238100 2.17004i
\(364\) −4436.63 1614.80i −0.638853 0.232523i
\(365\) 23.8029 + 8.66356i 0.00341343 + 0.00124239i
\(366\) 378.406 3448.79i 0.0540426 0.492544i
\(367\) 377.155 2138.95i 0.0536439 0.304230i −0.946167 0.323679i \(-0.895080\pi\)
0.999811 + 0.0194492i \(0.00619127\pi\)
\(368\) 699.763 + 1212.02i 0.0991240 + 0.171688i
\(369\) 10163.5 1333.89i 1.43385 0.188183i
\(370\) −18.4864 + 32.0194i −0.00259747 + 0.00449895i
\(371\) 6609.61 + 5546.12i 0.924943 + 0.776119i
\(372\) 2316.44 151.359i 0.322854 0.0210958i
\(373\) −2074.53 11765.3i −0.287977 1.63320i −0.694455 0.719536i \(-0.744354\pi\)
0.406478 0.913660i \(-0.366757\pi\)
\(374\) −3412.85 + 2863.72i −0.471856 + 0.395935i
\(375\) −135.590 + 129.747i −0.0186715 + 0.0178669i
\(376\) −4183.68 + 1522.74i −0.573821 + 0.208854i
\(377\) 1147.36 0.156743
\(378\) 1277.89 + 3291.97i 0.173882 + 0.447938i
\(379\) −9629.88 −1.30515 −0.652577 0.757722i \(-0.726312\pi\)
−0.652577 + 0.757722i \(0.726312\pi\)
\(380\) 30.4352 11.0775i 0.00410866 0.00149543i
\(381\) 9871.33 + 2879.39i 1.32736 + 0.387179i
\(382\) 1588.08 1332.56i 0.212705 0.178481i
\(383\) 330.744 + 1875.74i 0.0441259 + 0.250250i 0.998889 0.0471156i \(-0.0150029\pi\)
−0.954764 + 0.297366i \(0.903892\pi\)
\(384\) 3338.34 6766.06i 0.443644 0.899164i
\(385\) 182.796 + 153.384i 0.0241978 + 0.0203044i
\(386\) 1229.50 2129.56i 0.162125 0.280808i
\(387\) 2392.63 + 7599.13i 0.314275 + 0.998153i
\(388\) −3525.14 6105.72i −0.461242 0.798895i
\(389\) 578.319 3279.81i 0.0753777 0.427488i −0.923643 0.383253i \(-0.874804\pi\)
0.999021 0.0442354i \(-0.0140852\pi\)
\(390\) 18.0781 7.95023i 0.00234724 0.00103224i
\(391\) −2194.43 798.705i −0.283828 0.103305i
\(392\) 4211.27 + 1532.78i 0.542606 + 0.197492i
\(393\) 8514.38 + 6245.64i 1.09286 + 0.801656i
\(394\) −307.124 + 1741.79i −0.0392708 + 0.222716i
\(395\) −6.56170 11.3652i −0.000835836 0.00144771i
\(396\) −10396.5 6629.16i −1.31930 0.841232i
\(397\) 3181.07 5509.77i 0.402149 0.696542i −0.591836 0.806058i \(-0.701597\pi\)
0.993985 + 0.109516i \(0.0349301\pi\)
\(398\) 3294.45 + 2764.37i 0.414914 + 0.348155i
\(399\) −2339.84 3503.35i −0.293581 0.439566i
\(400\) −897.463 5089.76i −0.112183 0.636220i
\(401\) −5662.64 + 4751.52i −0.705184 + 0.591720i −0.923243 0.384216i \(-0.874472\pi\)
0.218059 + 0.975936i \(0.430027\pi\)
\(402\) −210.832 862.351i −0.0261576 0.106990i
\(403\) −1586.84 + 577.562i −0.196144 + 0.0713906i
\(404\) −8987.97 −1.10685
\(405\) 95.4204 + 44.5888i 0.0117074 + 0.00547070i
\(406\) −1088.96 −0.133114
\(407\) −15779.4 + 5743.24i −1.92176 + 0.699464i
\(408\) 1268.34 + 5187.79i 0.153902 + 0.629495i
\(409\) −751.921 + 630.937i −0.0909049 + 0.0762783i −0.687108 0.726556i \(-0.741120\pi\)
0.596203 + 0.802834i \(0.296675\pi\)
\(410\) 9.44818 + 53.5833i 0.00113808 + 0.00645437i
\(411\) −662.217 991.509i −0.0794762 0.118996i
\(412\) 7495.22 + 6289.23i 0.896269 + 0.752059i
\(413\) −3881.91 + 6723.67i −0.462509 + 0.801090i
\(414\) −39.9014 + 905.531i −0.00473683 + 0.107499i
\(415\) −69.9128 121.092i −0.00826960 0.0143234i
\(416\) −737.660 + 4183.48i −0.0869393 + 0.493057i
\(417\) −3299.88 2420.60i −0.387520 0.284262i
\(418\) −1938.58 705.584i −0.226839 0.0825628i
\(419\) 10352.9 + 3768.16i 1.20710 + 0.439348i 0.865696 0.500570i \(-0.166876\pi\)
0.341401 + 0.939918i \(0.389098\pi\)
\(420\) 122.344 53.8033i 0.0142138 0.00625079i
\(421\) 1782.27 10107.7i 0.206324 1.17012i −0.689019 0.724743i \(-0.741958\pi\)
0.895343 0.445378i \(-0.146931\pi\)
\(422\) −1312.85 2273.92i −0.151442 0.262305i
\(423\) 7878.35 + 1749.91i 0.905576 + 0.201144i
\(424\) 2532.42 4386.28i 0.290059 0.502397i
\(425\) 6606.24 + 5543.29i 0.753999 + 0.632680i
\(426\) −2387.77 + 4839.47i −0.271568 + 0.550406i
\(427\) 2965.96 + 16820.8i 0.336142 + 1.90636i
\(428\) 5204.25 4366.88i 0.587749 0.493180i
\(429\) 8610.67 + 2511.66i 0.969061 + 0.282667i
\(430\) −39.7375 + 14.4633i −0.00445654 + 0.00162205i
\(431\) 4696.43 0.524870 0.262435 0.964950i \(-0.415474\pi\)
0.262435 + 0.964950i \(0.415474\pi\)
\(432\) −4961.75 + 3006.77i −0.552598 + 0.334868i
\(433\) 3775.87 0.419068 0.209534 0.977801i \(-0.432805\pi\)
0.209534 + 0.977801i \(0.432805\pi\)
\(434\) 1506.08 548.167i 0.166576 0.0606287i
\(435\) −23.4665 + 22.4552i −0.00258651 + 0.00247505i
\(436\) −1055.06 + 885.299i −0.115890 + 0.0972434i
\(437\) −187.776 1064.93i −0.0205550 0.116573i
\(438\) −901.756 + 58.9220i −0.0983734 + 0.00642786i
\(439\) −8372.61 7025.45i −0.910257 0.763796i 0.0619108 0.998082i \(-0.480281\pi\)
−0.972168 + 0.234285i \(0.924725\pi\)
\(440\) 70.0369 121.308i 0.00758836 0.0131434i
\(441\) −4942.73 6446.86i −0.533714 0.696130i
\(442\) −907.603 1572.02i −0.0976703 0.169170i
\(443\) 386.089 2189.62i 0.0414078 0.234835i −0.957079 0.289827i \(-0.906402\pi\)
0.998487 + 0.0549918i \(0.0175133\pi\)
\(444\) −1025.79 + 9349.07i −0.109644 + 0.999296i
\(445\) −65.1988 23.7304i −0.00694544 0.00252793i
\(446\) −3072.23 1118.20i −0.326176 0.118718i
\(447\) 302.984 2761.39i 0.0320596 0.292191i
\(448\) −757.587 + 4296.49i −0.0798942 + 0.453103i
\(449\) 5908.73 + 10234.2i 0.621048 + 1.07569i 0.989291 + 0.145957i \(0.0466260\pi\)
−0.368243 + 0.929729i \(0.620041\pi\)
\(450\) 1282.19 3091.95i 0.134317 0.323902i
\(451\) −12355.8 + 21400.8i −1.29005 + 2.23443i
\(452\) −11447.2 9605.38i −1.19122 0.999555i
\(453\) −5376.34 + 351.297i −0.557621 + 0.0364357i
\(454\) 664.001 + 3765.74i 0.0686413 + 0.389284i
\(455\) −74.4784 + 62.4948i −0.00767384 + 0.00643912i
\(456\) −1786.74 + 1709.75i −0.183491 + 0.175584i
\(457\) 8361.42 3043.31i 0.855866 0.311510i 0.123436 0.992352i \(-0.460609\pi\)
0.732430 + 0.680843i \(0.238386\pi\)
\(458\) 1529.94 0.156091
\(459\) 3117.30 9165.10i 0.317001 0.932005i
\(460\) 34.3056 0.00347719
\(461\) 18161.1 6610.10i 1.83481 0.667816i 0.843356 0.537355i \(-0.180577\pi\)
0.991453 0.130461i \(-0.0416457\pi\)
\(462\) −8172.42 2383.83i −0.822977 0.240056i
\(463\) 7603.20 6379.84i 0.763177 0.640381i −0.175775 0.984430i \(-0.556243\pi\)
0.938952 + 0.344049i \(0.111799\pi\)
\(464\) −310.673 1761.92i −0.0310833 0.176282i
\(465\) 21.1514 42.8690i 0.00210940 0.00427527i
\(466\) −1825.40 1531.69i −0.181459 0.152262i
\(467\) 2648.73 4587.73i 0.262459 0.454593i −0.704436 0.709768i \(-0.748800\pi\)
0.966895 + 0.255175i \(0.0821332\pi\)
\(468\) 3395.51 3702.55i 0.335379 0.365706i
\(469\) 2185.20 + 3784.87i 0.215145 + 0.372642i
\(470\) −7.43856 + 42.1862i −0.000730032 + 0.00414022i
\(471\) −5662.61 + 2490.25i −0.553969 + 0.243619i
\(472\) 4282.58 + 1558.73i 0.417631 + 0.152005i
\(473\) −18047.8 6568.84i −1.75441 0.638553i
\(474\) 377.508 + 276.917i 0.0365813 + 0.0268338i
\(475\) −693.433 + 3932.65i −0.0669829 + 0.379879i
\(476\) −6142.22 10638.6i −0.591446 1.02441i
\(477\) −8145.27 + 4235.99i −0.781858 + 0.406610i
\(478\) 3561.08 6167.97i 0.340753 0.590201i
\(479\) −6181.20 5186.64i −0.589616 0.494747i 0.298473 0.954418i \(-0.403523\pi\)
−0.888089 + 0.459671i \(0.847967\pi\)
\(480\) −66.7886 99.9998i −0.00635098 0.00950905i
\(481\) −1188.06 6737.82i −0.112621 0.638707i
\(482\) 1585.38 1330.29i 0.149817 0.125712i
\(483\) −1059.74 4334.59i −0.0998343 0.408345i
\(484\) 19156.8 6972.51i 1.79910 0.654818i
\(485\) −145.183 −0.0135926
\(486\) −3756.51 85.7482i −0.350615 0.00800333i
\(487\) −16598.7 −1.54447 −0.772235 0.635337i \(-0.780861\pi\)
−0.772235 + 0.635337i \(0.780861\pi\)
\(488\) 9421.59 3429.18i 0.873966 0.318098i
\(489\) −1528.22 6250.77i −0.141326 0.578057i
\(490\) 33.0314 27.7167i 0.00304532 0.00255533i
\(491\) 703.737 + 3991.09i 0.0646827 + 0.366834i 0.999918 + 0.0128070i \(0.00407669\pi\)
−0.935235 + 0.354027i \(0.884812\pi\)
\(492\) 7687.24 + 11509.8i 0.704406 + 1.05468i
\(493\) 2286.87 + 1918.91i 0.208916 + 0.175301i
\(494\) 420.272 727.932i 0.0382772 0.0662980i
\(495\) −225.267 + 117.151i −0.0204545 + 0.0106375i
\(496\) 1316.59 + 2280.40i 0.119187 + 0.206438i
\(497\) 4613.28 26163.2i 0.416366 2.36133i
\(498\) 4022.22 + 2950.46i 0.361928 + 0.265489i
\(499\) 9423.94 + 3430.03i 0.845438 + 0.307714i 0.728179 0.685387i \(-0.240367\pi\)
0.117259 + 0.993101i \(0.462589\pi\)
\(500\) −238.113 86.6660i −0.0212975 0.00775164i
\(501\) 382.343 168.143i 0.0340954 0.0149942i
\(502\) 498.553 2827.44i 0.0443258 0.251384i
\(503\) 3131.16 + 5423.33i 0.277558 + 0.480744i 0.970777 0.239982i \(-0.0771417\pi\)
−0.693219 + 0.720727i \(0.743808\pi\)
\(504\) −6897.35 + 7521.05i −0.609588 + 0.664711i
\(505\) −92.5424 + 160.288i −0.00815462 + 0.0141242i
\(506\) −1673.89 1404.56i −0.147062 0.123400i
\(507\) 3434.19 6960.31i 0.300824 0.609701i
\(508\) 2410.95 + 13673.2i 0.210568 + 1.19419i
\(509\) −8942.03 + 7503.25i −0.778681 + 0.653391i −0.942916 0.333030i \(-0.891929\pi\)
0.164235 + 0.986421i \(0.447484\pi\)
\(510\) 49.3290 + 14.3889i 0.00428299 + 0.00124931i
\(511\) 4180.51 1521.58i 0.361908 0.131724i
\(512\) 11551.7 0.997103
\(513\) 4397.12 871.883i 0.378436 0.0750382i
\(514\) 273.589 0.0234776
\(515\) 189.332 68.9114i 0.0162000 0.00589631i
\(516\) −7772.11 + 7437.18i −0.663078 + 0.634503i
\(517\) −14903.7 + 12505.7i −1.26782 + 1.06383i
\(518\) 1127.59 + 6394.89i 0.0956439 + 0.542424i
\(519\) 4787.23 312.804i 0.404886 0.0264558i
\(520\) 43.7194 + 36.6849i 0.00368696 + 0.00309373i
\(521\) −6768.24 + 11722.9i −0.569140 + 0.985780i 0.427511 + 0.904010i \(0.359391\pi\)
−0.996651 + 0.0817697i \(0.973943\pi\)
\(522\) 443.853 1070.34i 0.0372163 0.0897459i
\(523\) −8123.42 14070.2i −0.679183 1.17638i −0.975227 0.221205i \(-0.929001\pi\)
0.296045 0.955174i \(-0.404332\pi\)
\(524\) −2475.84 + 14041.2i −0.206408 + 1.17060i
\(525\) −1797.27 + 16380.3i −0.149408 + 1.36170i
\(526\) 201.662 + 73.3990i 0.0167165 + 0.00608431i
\(527\) −4128.77 1502.75i −0.341275 0.124214i
\(528\) 1525.44 13902.9i 0.125732 1.14592i
\(529\) −1913.89 + 10854.2i −0.157301 + 0.892101i
\(530\) −24.3658 42.2029i −0.00199695 0.00345882i
\(531\) −5026.42 6556.01i −0.410787 0.535794i
\(532\) 2844.19 4926.29i 0.231788 0.401469i
\(533\) −7712.89 6471.88i −0.626796 0.525944i
\(534\) 2470.01 161.394i 0.200164 0.0130790i
\(535\) −24.2931 137.773i −0.00196315 0.0111335i
\(536\) 1965.25 1649.04i 0.158369 0.132888i
\(537\) −3273.04 + 3131.99i −0.263021 + 0.251686i
\(538\) −1809.46 + 658.589i −0.145002 + 0.0527765i
\(539\) 19583.7 1.56499
\(540\) 3.01654 + 142.181i 0.000240391 + 0.0113305i
\(541\) 13385.4 1.06374 0.531872 0.846825i \(-0.321489\pi\)
0.531872 + 0.846825i \(0.321489\pi\)
\(542\) −3950.59 + 1437.90i −0.313086 + 0.113954i
\(543\) −1250.84 364.858i −0.0988554 0.0288353i
\(544\) −8466.97 + 7104.63i −0.667313 + 0.559942i
\(545\) 4.92495 + 27.9308i 0.000387085 + 0.00219527i
\(546\) 1534.72 3110.52i 0.120293 0.243806i
\(547\) 2600.12 + 2181.76i 0.203242 + 0.170540i 0.738727 0.674004i \(-0.235427\pi\)
−0.535486 + 0.844544i \(0.679872\pi\)
\(548\) 804.956 1394.22i 0.0627482 0.108683i
\(549\) −17741.9 3940.78i −1.37925 0.306354i
\(550\) 4034.67 + 6988.25i 0.312798 + 0.541782i
\(551\) −240.045 + 1361.36i −0.0185594 + 0.105256i
\(552\) −2397.76 + 1054.46i −0.184883 + 0.0813060i
\(553\) −2165.87 788.311i −0.166550 0.0606191i
\(554\) −1242.03 452.062i −0.0952505 0.0346684i
\(555\) 156.166 + 114.554i 0.0119439 + 0.00876134i
\(556\) 959.552 5441.89i 0.0731908 0.415085i
\(557\) 4007.81 + 6941.73i 0.304877 + 0.528062i 0.977234 0.212165i \(-0.0680513\pi\)
−0.672357 + 0.740227i \(0.734718\pi\)
\(558\) −75.0738 + 1703.74i −0.00569557 + 0.129256i
\(559\) 3912.64 6776.89i 0.296041 0.512759i
\(560\) 116.135 + 97.4490i 0.00876359 + 0.00735352i
\(561\) 12961.8 + 19407.1i 0.975485 + 1.46055i
\(562\) 444.654 + 2521.76i 0.0333747 + 0.189277i
\(563\) 10180.9 8542.80i 0.762121 0.639496i −0.176557 0.984290i \(-0.556496\pi\)
0.938678 + 0.344795i \(0.112051\pi\)
\(564\) 2587.91 + 10585.1i 0.193210 + 0.790274i
\(565\) −289.162 + 105.247i −0.0215312 + 0.00783673i
\(566\) −126.169 −0.00936978
\(567\) 17871.7 4773.29i 1.32370 0.353544i
\(568\) −15594.9 −1.15202
\(569\) −4874.08 + 1774.02i −0.359107 + 0.130704i −0.515272 0.857027i \(-0.672309\pi\)
0.156165 + 0.987731i \(0.450087\pi\)
\(570\) 5.65086 + 23.1133i 0.000415243 + 0.00169844i
\(571\) 8263.96 6934.28i 0.605667 0.508215i −0.287595 0.957752i \(-0.592856\pi\)
0.893262 + 0.449537i \(0.148411\pi\)
\(572\) 2103.05 + 11927.0i 0.153729 + 0.871839i
\(573\) −6031.44 9030.62i −0.439733 0.658394i
\(574\) 7320.34 + 6142.49i 0.532308 + 0.446660i
\(575\) −2114.85 + 3663.03i −0.153383 + 0.265668i
\(576\) −3914.20 2495.84i −0.283146 0.180544i
\(577\) −7471.95 12941.8i −0.539101 0.933750i −0.998953 0.0457545i \(-0.985431\pi\)
0.459852 0.887996i \(-0.347903\pi\)
\(578\) −26.1301 + 148.191i −0.00188039 + 0.0106642i
\(579\) −10386.4 7618.82i −0.745497 0.546852i
\(580\) −41.2101 14.9993i −0.00295027 0.00107381i
\(581\) −23076.6 8399.19i −1.64781 0.599754i
\(582\) 4741.24 2085.06i 0.337682 0.148502i
\(583\) 3843.30 21796.4i 0.273024 1.54840i
\(584\) −1305.74 2261.61i −0.0925206 0.160250i
\(585\) −31.0690 98.6766i −0.00219580 0.00697398i
\(586\) −757.199 + 1311.51i −0.0533782 + 0.0924537i
\(587\) 16327.7 + 13700.6i 1.14807 + 0.963346i 0.999673 0.0255816i \(-0.00814376\pi\)
0.148398 + 0.988928i \(0.452588\pi\)
\(588\) 4853.34 9836.61i 0.340388 0.689889i
\(589\) −353.296 2003.64i −0.0247153 0.140168i
\(590\) 33.5907 28.1859i 0.00234391 0.00196677i
\(591\) 8894.16 + 2594.35i 0.619047 + 0.180571i
\(592\) −10025.1 + 3648.83i −0.695993 + 0.253321i
\(593\) −13235.6 −0.916564 −0.458282 0.888807i \(-0.651535\pi\)
−0.458282 + 0.888807i \(0.651535\pi\)
\(594\) 5674.06 7060.99i 0.391935 0.487738i
\(595\) −252.967 −0.0174297
\(596\) 3524.70 1282.89i 0.242244 0.0881696i
\(597\) 16276.5 15575.1i 1.11584 1.06775i
\(598\) 682.008 572.272i 0.0466377 0.0391337i
\(599\) 4450.42 + 25239.6i 0.303571 + 1.72164i 0.630155 + 0.776469i \(0.282991\pi\)
−0.326584 + 0.945168i \(0.605898\pi\)
\(600\) 9652.46 630.706i 0.656767 0.0429141i
\(601\) −15034.1 12615.1i −1.02039 0.856207i −0.0307119 0.999528i \(-0.509777\pi\)
−0.989676 + 0.143321i \(0.954222\pi\)
\(602\) −3713.51 + 6431.98i −0.251414 + 0.435462i
\(603\) −4610.79 + 605.135i −0.311386 + 0.0408673i
\(604\) −3637.41 6300.17i −0.245040 0.424421i
\(605\) 72.8982 413.426i 0.00489873 0.0277821i
\(606\) 720.167 6563.59i 0.0482752 0.439980i
\(607\) −4560.36 1659.84i −0.304941 0.110990i 0.185017 0.982735i \(-0.440766\pi\)
−0.489959 + 0.871746i \(0.662988\pi\)
\(608\) −4809.43 1750.49i −0.320803 0.116763i
\(609\) −622.157 + 5670.33i −0.0413975 + 0.377296i
\(610\) 16.7515 95.0026i 0.00111188 0.00630581i
\(611\) −3963.45 6864.90i −0.262429 0.454540i
\(612\) 12960.2 1700.93i 0.856018 0.112347i
\(613\) −5518.81 + 9558.86i −0.363626 + 0.629819i −0.988555 0.150863i \(-0.951795\pi\)
0.624929 + 0.780682i \(0.285128\pi\)
\(614\) −3038.75 2549.81i −0.199729 0.167593i
\(615\) 284.411 18.5838i 0.0186481 0.00121849i
\(616\) −4271.95 24227.4i −0.279419 1.58466i
\(617\) 4066.26 3412.00i 0.265318 0.222628i −0.500417 0.865785i \(-0.666820\pi\)
0.765735 + 0.643156i \(0.222375\pi\)
\(618\) −5193.36 + 4969.56i −0.338038 + 0.323471i
\(619\) −11334.4 + 4125.37i −0.735972 + 0.267872i −0.682691 0.730708i \(-0.739190\pi\)
−0.0532815 + 0.998580i \(0.516968\pi\)
\(620\) 64.5454 0.00418098
\(621\) 4692.38 + 725.126i 0.303219 + 0.0468572i
\(622\) −7092.27 −0.457193
\(623\) −11450.9 + 4167.78i −0.736388 + 0.268023i
\(624\) 5470.58 + 1595.72i 0.350959 + 0.102372i
\(625\) 11963.4 10038.5i 0.765661 0.642466i
\(626\) −1544.92 8761.68i −0.0986380 0.559404i
\(627\) −4781.60 + 9691.22i −0.304560 + 0.617273i
\(628\) −6398.43 5368.92i −0.406569 0.341152i
\(629\) 8900.74 15416.5i 0.564222 0.977261i
\(630\) 29.4877 + 93.6544i 0.00186479 + 0.00592267i
\(631\) 10634.3 + 18419.2i 0.670913 + 1.16206i 0.977646 + 0.210260i \(0.0674310\pi\)
−0.306732 + 0.951796i \(0.599236\pi\)
\(632\) −234.941 + 1332.42i −0.0147871 + 0.0838620i
\(633\) −12590.5 + 5536.95i −0.790568 + 0.347668i
\(634\) −570.831 207.766i −0.0357580 0.0130149i
\(635\) 268.666 + 97.7864i 0.0167900 + 0.00611108i
\(636\) −9995.54 7332.12i −0.623190 0.457135i
\(637\) −1385.57 + 7857.96i −0.0861826 + 0.488766i
\(638\) 1396.68 + 2419.11i 0.0866691 + 0.150115i
\(639\) 23835.3 + 15198.3i 1.47560 + 0.940899i
\(640\) 104.891 181.676i 0.00647839 0.0112209i
\(641\) 12391.8 + 10398.0i 0.763569 + 0.640711i 0.939053 0.343772i \(-0.111705\pi\)
−0.175484 + 0.984482i \(0.556149\pi\)
\(642\) 2771.98 + 4150.37i 0.170407 + 0.255143i
\(643\) 4441.03 + 25186.3i 0.272375 + 1.54472i 0.747179 + 0.664623i \(0.231408\pi\)
−0.474804 + 0.880092i \(0.657481\pi\)
\(644\) 4615.50 3872.86i 0.282416 0.236975i
\(645\) 52.6083 + 215.180i 0.00321155 + 0.0131360i
\(646\) 2055.10 747.997i 0.125166 0.0455566i
\(647\) −9723.13 −0.590813 −0.295406 0.955372i \(-0.595455\pi\)
−0.295406 + 0.955372i \(0.595455\pi\)
\(648\) −4581.10 9844.87i −0.277720 0.596826i
\(649\) 19915.3 1.20454
\(650\) −3089.49 + 1124.48i −0.186430 + 0.0678551i
\(651\) −1993.89 8155.45i −0.120041 0.490994i
\(652\) 6655.86 5584.93i 0.399791 0.335464i
\(653\) −1116.67 6332.96i −0.0669199 0.379522i −0.999812 0.0193669i \(-0.993835\pi\)
0.932893 0.360155i \(-0.117276\pi\)
\(654\) −561.964 841.405i −0.0336002 0.0503082i
\(655\) 224.914 + 188.725i 0.0134170 + 0.0112582i
\(656\) −7849.95 + 13596.5i −0.467209 + 0.809230i
\(657\) −208.387 + 4729.18i −0.0123744 + 0.280827i
\(658\) 3761.73 + 6515.51i 0.222869 + 0.386020i
\(659\) −1673.21 + 9489.25i −0.0989060 + 0.560924i 0.894574 + 0.446919i \(0.147479\pi\)
−0.993480 + 0.114004i \(0.963632\pi\)
\(660\) −276.438 202.778i −0.0163035 0.0119593i
\(661\) 5660.47 + 2060.24i 0.333082 + 0.121232i 0.503147 0.864201i \(-0.332176\pi\)
−0.170065 + 0.985433i \(0.554398\pi\)
\(662\) 2985.33 + 1086.57i 0.175269 + 0.0637928i
\(663\) −8704.16 + 3827.83i −0.509867 + 0.224224i
\(664\) −2503.22 + 14196.5i −0.146301 + 0.829715i
\(665\) −58.5690 101.445i −0.00341535 0.00591557i
\(666\) −6745.10 1498.20i −0.392443 0.0871682i
\(667\) −732.095 + 1268.02i −0.0424990 + 0.0736104i
\(668\) 432.026 + 362.513i 0.0250233 + 0.0209971i
\(669\) −7577.82 + 15358.5i −0.437931 + 0.887585i
\(670\) −4.28627 24.3087i −0.000247154 0.00140168i
\(671\) 33563.0 28162.7i 1.93097 1.62028i
\(672\) −20275.0 5914.06i −1.16388 0.339494i
\(673\) 6650.68 2420.65i 0.380928 0.138647i −0.144457 0.989511i \(-0.546143\pi\)
0.525385 + 0.850865i \(0.323921\pi\)
\(674\) −3085.91 −0.176357
\(675\) −15367.5 8442.98i −0.876290 0.481437i
\(676\) 10479.8 0.596254
\(677\) −20674.0 + 7524.74i −1.17366 + 0.427177i −0.853959 0.520341i \(-0.825805\pi\)
−0.319702 + 0.947518i \(0.603583\pi\)
\(678\) 7931.68 7589.87i 0.449283 0.429922i
\(679\) −19533.0 + 16390.1i −1.10399 + 0.926355i
\(680\) 25.7857 + 146.238i 0.00145417 + 0.00824700i
\(681\) 19987.9 1306.04i 1.12472 0.0734911i
\(682\) −3149.39 2642.65i −0.176828 0.148376i
\(683\) 16442.5 28479.2i 0.921163 1.59550i 0.123545 0.992339i \(-0.460574\pi\)
0.797618 0.603162i \(-0.206093\pi\)
\(684\) 3682.75 + 4803.45i 0.205867 + 0.268515i
\(685\) −16.5761 28.7106i −0.000924582 0.00160142i
\(686\) −184.126 + 1044.23i −0.0102478 + 0.0581180i
\(687\) 874.102 7966.56i 0.0485430 0.442421i
\(688\) −11466.2 4173.36i −0.635385 0.231261i
\(689\) 8473.88 + 3084.24i 0.468547 + 0.170537i
\(690\) −2.74876 + 25.0522i −0.000151657 + 0.00138220i
\(691\) −3790.16 + 21495.0i −0.208660 + 1.18337i 0.682914 + 0.730498i \(0.260712\pi\)
−0.891575 + 0.452874i \(0.850399\pi\)
\(692\) 3238.84 + 5609.84i 0.177922 + 0.308171i
\(693\) −17081.9 + 41192.6i −0.936348 + 2.25797i
\(694\) 948.356 1642.60i 0.0518719 0.0898448i
\(695\) −87.1688 73.1433i −0.00475756 0.00399207i
\(696\) 3341.38 218.330i 0.181975 0.0118905i
\(697\) −4549.06 25799.0i −0.247214 1.40202i
\(698\) 6430.55 5395.87i 0.348710 0.292603i
\(699\) −9018.54 + 8629.90i −0.488001 + 0.466971i
\(700\) −20908.2 + 7609.94i −1.12893 + 0.410898i
\(701\) −34790.7 −1.87450 −0.937251 0.348656i \(-0.886638\pi\)
−0.937251 + 0.348656i \(0.886638\pi\)
\(702\) 2431.77 + 2776.28i 0.130743 + 0.149265i
\(703\) 8243.09 0.442239
\(704\) 10516.2 3827.59i 0.562990 0.204912i
\(705\) 215.417 + 62.8354i 0.0115079 + 0.00335676i
\(706\) 2161.65 1813.84i 0.115233 0.0966922i
\(707\) 5644.69 + 32012.6i 0.300269 + 1.70291i
\(708\) 4935.51 10003.2i 0.261989 0.530991i
\(709\) 25726.9 + 21587.5i 1.36276 + 1.14349i 0.975120 + 0.221678i \(0.0711533\pi\)
0.387638 + 0.921812i \(0.373291\pi\)
\(710\) −75.0239 + 129.945i −0.00396563 + 0.00686867i
\(711\) 1657.61 1807.51i 0.0874337 0.0953401i
\(712\) 3576.57 + 6194.80i 0.188255 + 0.326068i
\(713\) 374.209 2122.25i 0.0196553 0.111471i
\(714\) 8261.16 3633.01i 0.433006 0.190423i
\(715\) 234.355 + 85.2981i 0.0122579 + 0.00446150i
\(716\) −5747.88 2092.06i −0.300012 0.109195i
\(717\) −30082.6 22066.8i −1.56688 1.14937i
\(718\) −222.222 + 1260.28i −0.0115505 + 0.0655060i
\(719\) −16437.6 28470.8i −0.852601 1.47675i −0.878853 0.477093i \(-0.841690\pi\)
0.0262517 0.999655i \(-0.491643\pi\)
\(720\) −143.118 + 74.4292i −0.00740789 + 0.00385252i
\(721\) 17693.3 30645.7i 0.913914 1.58295i
\(722\) −4436.21 3722.42i −0.228669 0.191876i
\(723\) −6021.16 9015.23i −0.309722 0.463734i
\(724\) −305.501 1732.58i −0.0156821 0.0889377i
\(725\) 4142.06 3475.60i 0.212182 0.178042i
\(726\) 3556.82 + 14548.2i 0.181826 + 0.743711i
\(727\) 27323.1 9944.80i 1.39389 0.507334i 0.467531 0.883977i \(-0.345144\pi\)
0.926359 + 0.376642i \(0.122921\pi\)
\(728\) 10023.5 0.510296
\(729\) −2592.70 + 19511.5i −0.131723 + 0.991287i
\(730\) −25.1266 −0.00127394
\(731\) 19132.6 6963.70i 0.968050 0.352341i
\(732\) −5827.93 23837.6i −0.294271 1.20364i
\(733\) 28106.1 23583.8i 1.41627 1.18839i 0.462960 0.886379i \(-0.346787\pi\)
0.953305 0.302008i \(-0.0976570\pi\)
\(734\) 374.118 + 2121.73i 0.0188133 + 0.106695i
\(735\) −125.451 187.833i −0.00629570 0.00942628i
\(736\) −4152.76 3484.58i −0.207980 0.174516i
\(737\) 5605.34 9708.73i 0.280157 0.485245i
\(738\) −9021.12 + 4691.49i −0.449962 + 0.234005i
\(739\) 5259.61 + 9109.91i 0.261810 + 0.453469i 0.966723 0.255825i \(-0.0823472\pi\)
−0.704913 + 0.709294i \(0.749014\pi\)
\(740\) −45.4105 + 257.536i −0.00225584 + 0.0127935i
\(741\) −3550.29 2604.28i −0.176010 0.129110i
\(742\) −8042.60 2927.27i −0.397915 0.144829i
\(743\) −9957.03 3624.06i −0.491639 0.178942i 0.0842905 0.996441i \(-0.473138\pi\)
−0.575930 + 0.817499i \(0.695360\pi\)
\(744\) −4511.34 + 1983.95i −0.222303 + 0.0977625i
\(745\) 13.4127 76.0672i 0.000659601 0.00374079i
\(746\) 5925.28 + 10262.9i 0.290804 + 0.503688i
\(747\) 17661.3 19258.4i 0.865052 0.943276i
\(748\) −15755.7 + 27289.6i −0.770166 + 1.33397i
\(749\) −18822.0 15793.5i −0.918212 0.770472i
\(750\) 82.3680 166.941i 0.00401020 0.00812776i
\(751\) −1478.72 8386.24i −0.0718499 0.407481i −0.999427 0.0338490i \(-0.989223\pi\)
0.927577 0.373632i \(-0.121888\pi\)
\(752\) −9468.72 + 7945.20i −0.459161 + 0.385281i
\(753\) −14437.9 4211.41i −0.698732 0.203814i
\(754\) −1069.48 + 389.260i −0.0516556 + 0.0188011i
\(755\) −149.807 −0.00722122
\(756\) 16457.1 + 18788.5i 0.791716 + 0.903879i
\(757\) 2716.53 0.130428 0.0652139 0.997871i \(-0.479227\pi\)
0.0652139 + 0.997871i \(0.479227\pi\)
\(758\) 8976.26 3267.09i 0.430122 0.156552i
\(759\) −8270.00 + 7913.62i −0.395497 + 0.378453i
\(760\) −52.6739 + 44.1987i −0.00251406 + 0.00210955i