Properties

Label 27.4.e.a.4.5
Level 27
Weight 4
Character 27.4
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 4.5
Character \(\chi\) = 27.4
Dual form 27.4.e.a.7.5

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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 0.171943 0.985107i \(-0.444996\pi\)
−0.501499 + 0.865158i \(0.667218\pi\)
\(3\) 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 −0.983665 0.180008i \(-0.942388\pi\)
0.985909 + 0.167281i \(0.0534989\pi\)
\(6\) −2.86272 + 4.28623i −0.194783 + 0.291641i
\(7\) 19.4381 16.3105i 1.04956 0.880685i 0.0565125 0.998402i \(-0.482002\pi\)
0.993047 + 0.117717i \(0.0375575\pi\)
\(8\) 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 0.599960 + 0.800030i \(0.295183\pi\)
−0.290152 + 0.956981i \(0.593706\pi\)
\(12\) −29.3957 + 21.5629i −0.707152 + 0.518724i
\(13\) 24.9207 9.07040i 0.531674 0.193514i −0.0622116 0.998063i \(-0.519815\pi\)
0.593886 + 0.804549i \(0.297593\pi\)
\(14\) −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 −0.507740 0.861511i \(-0.669519\pi\)
0.999960 + 0.00896013i \(0.00285214\pi\)
\(18\) 18.1020 + 19.7389i 0.237038 + 0.258472i
\(19\) −15.9760 27.6712i −0.192902 0.334116i 0.753309 0.657667i \(-0.228457\pi\)
−0.946211 + 0.323551i \(0.895123\pi\)
\(20\) −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 0.517661 0.855586i \(-0.326803\pi\)
−0.752697 + 0.658367i \(0.771247\pi\)
\(24\) 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 0.468885 0.883259i \(-0.344656\pi\)
−0.208561 + 0.978009i \(0.566878\pi\)
\(30\) 0.538036 + 0.514850i 0.00327438 + 0.00313328i
\(31\) −48.7783 40.9298i −0.282608 0.237136i 0.490454 0.871467i \(-0.336831\pi\)
−0.773061 + 0.634331i \(0.781276\pi\)
\(32\) 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 0.423101 + 0.906082i \(0.360941\pi\)
−0.996241 + 0.0866247i \(0.972392\pi\)
\(38\) 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 −0.915725 0.401806i \(-0.868383\pi\)
−0.443210 + 0.896418i \(0.646160\pi\)
\(42\) 14.2647 + 130.009i 0.0524070 + 0.477637i
\(43\) 51.2384 + 290.587i 0.181716 + 1.03056i 0.930103 + 0.367299i \(0.119718\pi\)
−0.748387 + 0.663262i \(0.769171\pi\)
\(44\) 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 −0.924772 0.380521i \(-0.875745\pi\)
0.214155 + 0.976800i \(0.431300\pi\)
\(48\) 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 −0.868380 0.495899i \(-0.834839\pi\)
0.985618 0.168989i \(-0.0540504\pi\)
\(60\) 2.33055 + 4.72349i 0.00501454 + 0.0101633i
\(61\) 515.642 432.675i 1.08232 0.908170i 0.0862041 0.996277i \(-0.472526\pi\)
0.996111 + 0.0881073i \(0.0280818\pi\)
\(62\) 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 −0.190219 0.981742i \(-0.560920\pi\)
0.485335 + 0.874328i \(0.338698\pi\)
\(68\) −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 −0.0182959 + 0.999833i \(0.505824\pi\)
−0.856732 + 0.515761i \(0.827509\pi\)
\(72\) −17.7040 401.778i −0.0289783 0.657639i
\(73\) 87.6625 + 151.836i 0.140550 + 0.243439i 0.927704 0.373317i \(-0.121780\pi\)
−0.787154 + 0.616756i \(0.788446\pi\)
\(74\) 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 0.280524 0.959847i \(-0.409492\pi\)
−0.402084 + 0.915603i \(0.631714\pi\)
\(80\) 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 −0.338528 0.940956i \(-0.609929\pi\)
−0.864163 + 0.503213i \(0.832151\pi\)
\(84\) −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 0.686865 0.726785i \(-0.258986\pi\)
−0.972847 + 0.231450i \(0.925653\pi\)
\(90\) 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 −0.928934 0.370246i \(-0.879273\pi\)
0.746281 0.665631i \(-0.231838\pi\)
\(98\) −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 −0.0152366 0.999884i \(-0.504850\pi\)
0.982048 + 0.188633i \(0.0604057\pi\)
\(102\) 157.368 + 318.949i 0.152762 + 0.309614i
\(103\) −242.163 + 1373.38i −0.231661 + 1.31381i 0.617872 + 0.786278i \(0.287995\pi\)
−0.849533 + 0.527535i \(0.823116\pi\)
\(104\) 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 −0.301640 0.953422i \(-0.597534\pi\)
0.609538 0.792757i \(-0.291355\pi\)
\(114\) 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 0.971400 + 0.237449i \(0.0763114\pi\)
−0.280063 + 0.959982i \(0.590355\pi\)
\(128\) −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 0.991811 0.127714i \(-0.0407638\pi\)
0.0464529 + 0.998920i \(0.485208\pi\)
\(132\) −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 0.273910 0.961755i \(-0.411683\pi\)
−0.408377 + 0.912813i \(0.633905\pi\)
\(138\) 167.460 48.8467i 0.103298 0.0301312i
\(139\) −603.337 506.260i −0.368161 0.308924i 0.439872 0.898060i \(-0.355024\pi\)
−0.808034 + 0.589136i \(0.799468\pi\)
\(140\) −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 −0.476415 0.879221i \(-0.658064\pi\)
0.200197 + 0.979756i \(0.435842\pi\)
\(150\) −519.420 + 381.015i −0.282736 + 0.207398i
\(151\) −180.053 1021.13i −0.0970364 0.550321i −0.994104 0.108428i \(-0.965418\pi\)
0.897068 0.441893i \(-0.145693\pi\)
\(152\) 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 −0.886099 0.463496i \(-0.846595\pi\)
0.991186 0.132480i \(-0.0422942\pi\)
\(158\) 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 −0.987871 0.155278i \(-0.950373\pi\)
0.981403 + 0.191959i \(0.0614839\pi\)
\(168\) 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 0.999557 + 0.0297557i \(0.00947292\pi\)
−0.929099 + 0.369830i \(0.879416\pi\)
\(174\) −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 −0.760548 0.649282i \(-0.775070\pi\)
0.942568 + 0.334013i \(0.108403\pi\)
\(180\) 26.7177 5.93446i 0.0110635 0.00245738i
\(181\) −125.378 217.160i −0.0514875 0.0891790i 0.839133 0.543926i \(-0.183063\pi\)
−0.890621 + 0.454747i \(0.849730\pi\)
\(182\) −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 −0.0579152 0.998322i \(-0.518445\pi\)
−0.686074 + 0.727531i \(0.740668\pi\)
\(192\) −645.481 617.665i −0.242623 0.232167i
\(193\) −1899.00 1593.45i −0.708255 0.594296i 0.215854 0.976426i \(-0.430746\pi\)
−0.924109 + 0.382129i \(0.875191\pi\)
\(194\) −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 0.980987 0.194072i \(-0.0621694\pi\)
−0.658565 + 0.752524i \(0.728836\pi\)
\(198\) −1060.68 + 1383.45i −0.380703 + 0.496555i
\(199\) −2167.76 + 3754.67i −0.772202 + 1.33749i 0.164151 + 0.986435i \(0.447511\pi\)
−0.936354 + 0.351058i \(0.885822\pi\)
\(200\) 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 −0.813273 0.581882i \(-0.802316\pi\)
0.963242 0.268635i \(-0.0865725\pi\)
\(212\) −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 −0.179467 0.983764i \(-0.557437\pi\)
0.937654 + 0.347570i \(0.112993\pi\)
\(224\) −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 0.911386 + 0.411554i \(0.135014\pi\)
−0.715663 + 0.698446i \(0.753875\pi\)
\(228\) 1066.30 + 468.926i 0.309725 + 0.136208i
\(229\) −1449.35 + 527.520i −0.418235 + 0.152225i −0.542561 0.840016i \(-0.682545\pi\)
0.124326 + 0.992241i \(0.460323\pi\)
\(230\) 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 −0.646287 0.763094i \(-0.723679\pi\)
0.984003 + 0.178154i \(0.0570125\pi\)
\(234\) 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 −0.896355 0.443336i \(-0.853795\pi\)
−0.592251 0.805753i \(-0.701761\pi\)
\(240\) 7.37289 30.1568i 0.00198299 0.00811089i
\(241\) −1960.54 713.578i −0.524023 0.190729i 0.0664447 0.997790i \(-0.478834\pi\)
−0.590468 + 0.807061i \(0.701057\pi\)
\(242\) 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 0.624678 0.780883i \(-0.285230\pi\)
−0.988603 + 0.150545i \(0.951897\pi\)
\(252\) 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 −0.373282 0.927718i \(-0.621768\pi\)
0.310375 + 0.950614i \(0.399545\pi\)
\(258\) −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 −0.662009 0.749496i \(-0.730296\pi\)
0.623152 + 0.782101i \(0.285852\pi\)
\(264\) 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 −0.525336 0.850895i \(-0.676061\pi\)
0.746744 + 0.665112i \(0.231616\pi\)
\(278\) 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 0.994697 + 0.102850i \(0.0327961\pi\)
−0.899533 + 0.436854i \(0.856093\pi\)
\(282\) −168.032 1531.44i −0.0354828 0.323390i
\(283\) 119.523 43.5028i 0.0251056 0.00913771i −0.329437 0.944178i \(-0.606859\pi\)
0.354542 + 0.935040i \(0.384637\pi\)
\(284\) 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 0.751892 0.659286i \(-0.229141\pi\)
−0.518705 + 0.854953i \(0.673586\pi\)
\(294\) 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 −0.618111 0.786091i \(-0.712102\pi\)
0.989830 + 0.142255i \(0.0454352\pi\)
\(308\) −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 0.353129 0.935575i \(-0.385118\pi\)
0.871888 + 0.489705i \(0.162895\pi\)
\(312\) 1655.05 1214.04i 0.300316 0.220294i
\(313\) −1557.46 8832.81i −0.281255 1.59508i −0.718362 0.695669i \(-0.755108\pi\)
0.437107 0.899410i \(-0.356003\pi\)
\(314\) −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 −0.600282 0.799789i \(-0.704945\pi\)
0.683400 + 0.730044i \(0.260500\pi\)
\(318\) −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 −0.823349 0.567535i \(-0.807897\pi\)
0.415940 + 0.909392i \(0.363453\pi\)
\(332\) 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 −0.0947645 0.995500i \(-0.530210\pi\)
0.567301 + 0.823510i \(0.307988\pi\)
\(338\) 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 0.522414 0.852692i \(-0.325031\pi\)
−0.749021 + 0.662546i \(0.769476\pi\)
\(348\) −1514.14 + 441.663i −0.233238 + 0.0680335i
\(349\) −7952.27 2894.39i −1.21970 0.443934i −0.349642 0.936883i \(-0.613697\pi\)
−0.870058 + 0.492949i \(0.835919\pi\)
\(350\) −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 0.132534 0.991178i \(-0.457689\pi\)
−0.535591 + 0.844478i \(0.679911\pi\)
\(354\) 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 0.909539 0.415619i \(-0.136435\pi\)
−0.814706 + 0.579874i \(0.803102\pi\)
\(360\) −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 0.999811 0.0194492i \(-0.00619127\pi\)
−0.946167 + 0.323679i \(0.895080\pi\)
\(368\) 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 0.406478 + 0.913660i \(0.366757\pi\)
−0.694455 + 0.719536i \(0.744354\pi\)
\(374\) −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 −0.954764 0.297366i \(-0.903892\pi\)
0.998889 + 0.0471156i \(0.0150029\pi\)
\(384\) 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 0.999021 + 0.0442354i \(0.0140852\pi\)
−0.923643 + 0.383253i \(0.874804\pi\)
\(390\) 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 0.993985 0.109516i \(-0.0349301\pi\)
−0.591836 + 0.806058i \(0.701597\pi\)
\(398\) 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 0.218059 0.975936i \(-0.430027\pi\)
−0.923243 + 0.384216i \(0.874472\pi\)
\(402\) −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 0.596203 0.802834i \(-0.296675\pi\)
−0.687108 + 0.726556i \(0.741120\pi\)
\(410\) 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 0.341401 0.939918i \(-0.389098\pi\)
0.865696 + 0.500570i \(0.166876\pi\)
\(420\) 122.344 + 53.8033i 0.0142138 + 0.00625079i
\(421\) 1782.27 + 10107.7i 0.206324 + 1.17012i 0.895343 + 0.445378i \(0.146931\pi\)
−0.689019 + 0.724743i \(0.741958\pi\)
\(422\) −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 −0.972168 0.234285i \(-0.924725\pi\)
0.0619108 + 0.998082i \(0.480281\pi\)
\(440\) 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 0.998487 0.0549918i \(-0.0175133\pi\)
−0.957079 + 0.289827i \(0.906402\pi\)
\(444\) −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 −0.368243 0.929729i \(-0.620041\pi\)
0.989291 0.145957i \(-0.0466260\pi\)
\(450\) 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 0.732430 0.680843i \(-0.238386\pi\)
0.123436 + 0.992352i \(0.460609\pi\)
\(458\) 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 0.991453 + 0.130461i \(0.0416457\pi\)
0.843356 + 0.537355i \(0.180577\pi\)
\(462\) −8172.42 + 2383.83i −0.822977 + 0.240056i
\(463\) 7603.20 + 6379.84i 0.763177 + 0.640381i 0.938952 0.344049i \(-0.111799\pi\)
−0.175775 + 0.984430i \(0.556243\pi\)
\(464\) −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 0.966895 0.255175i \(-0.0821332\pi\)
−0.704436 + 0.709768i \(0.748800\pi\)
\(468\) 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 −0.888089 0.459671i \(-0.847967\pi\)
0.298473 + 0.954418i \(0.403523\pi\)
\(480\) −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 −0.935235 0.354027i \(-0.884812\pi\)
0.999918 0.0128070i \(-0.00407669\pi\)
\(492\) 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 0.117259 0.993101i \(-0.462589\pi\)
0.728179 + 0.685387i \(0.240367\pi\)
\(500\) −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 −0.693219 0.720727i \(-0.743808\pi\)
0.970777 + 0.239982i \(0.0771417\pi\)
\(504\) −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 0.164235 0.986421i \(-0.447484\pi\)
−0.942916 + 0.333030i \(0.891929\pi\)
\(510\) 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 −0.996651 0.0817697i \(-0.973943\pi\)
0.427511 0.904010i \(-0.359391\pi\)
\(522\) 443.853 + 1070.34i 0.0372163 + 0.0897459i
\(523\) −8123.42 + 14070.2i −0.679183 + 1.17638i 0.296045 + 0.955174i \(0.404332\pi\)
−0.975227 + 0.221205i \(0.929001\pi\)
\(524\) −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 −0.535486 0.844544i \(-0.679872\pi\)
0.738727 + 0.674004i \(0.235427\pi\)
\(548\) 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 −0.672357 0.740227i \(-0.734718\pi\)
0.977234 + 0.212165i \(0.0680513\pi\)
\(558\) −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 0.938678 0.344795i \(-0.112051\pi\)
−0.176557 + 0.984290i \(0.556496\pi\)
\(564\) 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 0.156165 0.987731i \(-0.450087\pi\)
−0.515272 + 0.857027i \(0.672309\pi\)
\(570\) 5.65086 23.1133i 0.000415243 0.00169844i
\(571\) 8263.96 + 6934.28i 0.605667 + 0.508215i 0.893262 0.449537i \(-0.148411\pi\)
−0.287595 + 0.957752i \(0.592856\pi\)
\(572\) 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 0.459852 + 0.887996i \(0.347903\pi\)
−0.998953 + 0.0457545i \(0.985431\pi\)
\(578\) −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 0.148398 0.988928i \(-0.452588\pi\)
0.999673 + 0.0255816i \(0.00814376\pi\)
\(588\) 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 −0.326584 0.945168i \(-0.605898\pi\)
0.630155 0.776469i \(-0.282991\pi\)
\(600\) 9652.46 + 630.706i 0.656767 + 0.0429141i
\(601\) −15034.1 + 12615.1i −1.02039 + 0.856207i −0.989676 0.143321i \(-0.954222\pi\)
−0.0307119 + 0.999528i \(0.509777\pi\)
\(602\) −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 −0.489959 0.871746i \(-0.662988\pi\)
0.185017 + 0.982735i \(0.440766\pi\)
\(608\) −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 0.624929 0.780682i \(-0.285128\pi\)
−0.988555 + 0.150863i \(0.951795\pi\)
\(614\) −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 0.765735 0.643156i \(-0.222375\pi\)
−0.500417 + 0.865785i \(0.666820\pi\)
\(618\) −5193.36 4969.56i −0.338038 0.323471i
\(619\) −11334.4 4125.37i −0.735972 0.267872i −0.0532815 0.998580i \(-0.516968\pi\)
−0.682691 + 0.730708i \(0.739190\pi\)
\(620\) 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 −0.306732 0.951796i \(-0.599236\pi\)
0.977646 0.210260i \(-0.0674310\pi\)
\(632\) −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 −0.175484 0.984482i \(-0.556149\pi\)
0.939053 + 0.343772i \(0.111705\pi\)
\(642\) 2771.98 4150.37i 0.170407 0.255143i
\(643\) 4441.03 25186.3i 0.272375 1.54472i −0.474804 0.880092i \(-0.657481\pi\)
0.747179 0.664623i \(-0.231408\pi\)
\(644\) 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 0.932893 + 0.360155i \(0.117276\pi\)
−0.999812 + 0.0193669i \(0.993835\pi\)
\(654\) −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 −0.993480 0.114004i \(-0.963632\pi\)
0.894574 0.446919i \(-0.147479\pi\)
\(660\) −276.438 + 202.778i −0.0163035 + 0.0119593i
\(661\) 5660.47 2060.24i 0.333082 0.121232i −0.170065 0.985433i \(-0.554398\pi\)
0.503147 + 0.864201i \(0.332176\pi\)
\(662\) 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 0.525385 0.850865i \(-0.323921\pi\)
−0.144457 + 0.989511i \(0.546143\pi\)
\(674\) −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 −0.319702 0.947518i \(-0.603583\pi\)
−0.853959 + 0.520341i \(0.825805\pi\)
\(678\) 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 0.797618 + 0.603162i \(0.206093\pi\)
0.123545 + 0.992339i \(0.460574\pi\)
\(684\) 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 −0.891575 0.452874i \(-0.850399\pi\)
0.682914 0.730498i \(-0.260712\pi\)
\(692\) 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 0.387638 0.921812i \(-0.373291\pi\)
0.975120 0.221678i \(-0.0711533\pi\)
\(710\) −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 0.0262517 + 0.999655i \(0.491643\pi\)
−0.878853 + 0.477093i \(0.841690\pi\)
\(720\) −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 0.926359 0.376642i \(-0.122921\pi\)
0.467531 + 0.883977i \(0.345144\pi\)
\(728\) 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 0.953305 + 0.302008i \(0.0976570\pi\)
0.462960 + 0.886379i \(0.346787\pi\)
\(734\) 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 −0.704913 0.709294i \(-0.749014\pi\)
0.966723 + 0.255825i \(0.0823472\pi\)
\(740\) −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 −0.575930 0.817499i \(-0.695360\pi\)
0.0842905 + 0.996441i \(0.473138\pi\)
\(744\) −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 0.927577 + 0.373632i \(0.121888\pi\)
−0.999427 + 0.0338490i \(0.989223\pi\)
\(752\) −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
\(761\) −4597.56