Properties

Label 27.4.e.a.7.4
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 7.4
Character \(\chi\) = 27.7
Dual form 27.4.e.a.4.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.982993 + 0.357780i) q^{2} +(-5.19600 + 0.0395600i) q^{3} +(-5.29009 + 4.43891i) q^{4} +(2.68017 + 15.2000i) q^{5} +(5.09348 - 1.89791i) q^{6} +(-18.0349 - 15.1331i) q^{7} +(7.79628 - 13.5036i) q^{8} +(26.9969 - 0.411107i) q^{9} +O(q^{10})\) \(q+(-0.982993 + 0.357780i) q^{2} +(-5.19600 + 0.0395600i) q^{3} +(-5.29009 + 4.43891i) q^{4} +(2.68017 + 15.2000i) q^{5} +(5.09348 - 1.89791i) q^{6} +(-18.0349 - 15.1331i) q^{7} +(7.79628 - 13.5036i) q^{8} +(26.9969 - 0.411107i) q^{9} +(-8.07284 - 13.9826i) q^{10} +(-7.09896 + 40.2602i) q^{11} +(27.3117 - 23.2739i) q^{12} +(11.9280 + 4.34143i) q^{13} +(23.1425 + 8.42319i) q^{14} +(-14.5275 - 78.8731i) q^{15} +(6.76093 - 38.3432i) q^{16} +(23.8240 + 41.2643i) q^{17} +(-26.3907 + 10.0631i) q^{18} +(-67.6602 + 117.191i) q^{19} +(-81.6496 - 68.5122i) q^{20} +(94.3081 + 77.9181i) q^{21} +(-7.42608 - 42.1154i) q^{22} +(36.2326 - 30.4028i) q^{23} +(-39.9753 + 70.4729i) q^{24} +(-106.394 + 38.7244i) q^{25} -13.2784 q^{26} +(-140.260 + 3.20411i) q^{27} +162.581 q^{28} +(-118.886 + 43.2708i) q^{29} +(42.4996 + 72.3341i) q^{30} +(158.028 - 132.602i) q^{31} +(28.7334 + 162.955i) q^{32} +(35.2935 - 209.473i) q^{33} +(-38.1824 - 32.0388i) q^{34} +(181.686 - 314.689i) q^{35} +(-140.991 + 122.011i) q^{36} +(93.6104 + 162.138i) q^{37} +(24.5809 - 139.405i) q^{38} +(-62.1496 - 22.0862i) q^{39} +(226.149 + 82.3116i) q^{40} +(-41.7814 - 15.2072i) q^{41} +(-120.582 - 42.8514i) q^{42} +(41.2948 - 234.195i) q^{43} +(-141.157 - 244.492i) q^{44} +(78.6049 + 409.250i) q^{45} +(-24.7389 + 42.8490i) q^{46} +(83.8400 + 70.3501i) q^{47} +(-33.6130 + 199.499i) q^{48} +(36.6864 + 208.059i) q^{49} +(90.7302 - 76.1317i) q^{50} +(-125.422 - 213.467i) q^{51} +(-82.3713 + 29.9807i) q^{52} +11.6792 q^{53} +(136.728 - 53.3317i) q^{54} -630.981 q^{55} +(-344.956 + 125.554i) q^{56} +(346.927 - 611.601i) q^{57} +(101.382 - 85.0698i) q^{58} +(126.168 + 715.536i) q^{59} +(426.962 + 352.759i) q^{60} +(-45.5286 - 38.2030i) q^{61} +(-107.899 + 186.886i) q^{62} +(-493.108 - 401.132i) q^{63} +(69.1916 + 119.843i) q^{64} +(-34.0207 + 192.941i) q^{65} +(40.2520 + 218.538i) q^{66} +(-290.347 - 105.678i) q^{67} +(-309.199 - 112.539i) q^{68} +(-187.062 + 159.406i) q^{69} +(-66.0065 + 374.341i) q^{70} +(130.821 + 226.589i) q^{71} +(204.924 - 367.759i) q^{72} +(186.795 - 323.539i) q^{73} +(-150.028 - 125.889i) q^{74} +(551.294 - 205.421i) q^{75} +(-162.272 - 920.288i) q^{76} +(737.290 - 618.660i) q^{77} +(68.9947 - 0.525293i) q^{78} +(-128.935 + 46.9287i) q^{79} +600.936 q^{80} +(728.662 - 22.1972i) q^{81} +46.5117 q^{82} +(1033.80 - 376.273i) q^{83} +(-844.769 + 6.43168i) q^{84} +(-563.365 + 472.719i) q^{85} +(43.1977 + 244.986i) q^{86} +(616.018 - 229.538i) q^{87} +(488.311 + 409.741i) q^{88} +(-716.067 + 1240.26i) q^{89} +(-223.690 - 374.167i) q^{90} +(-149.421 - 258.805i) q^{91} +(-56.7185 + 321.667i) q^{92} +(-815.870 + 695.250i) q^{93} +(-107.584 - 39.1574i) q^{94} +(-1962.64 - 714.343i) q^{95} +(-155.746 - 845.580i) q^{96} +(137.698 - 780.924i) q^{97} +(-110.502 - 191.395i) q^{98} +(-175.098 + 1089.82i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.982993 + 0.357780i −0.347541 + 0.126494i −0.509892 0.860239i \(-0.670315\pi\)
0.162351 + 0.986733i \(0.448092\pi\)
\(3\) −5.19600 + 0.0395600i −0.999971 + 0.00761332i
\(4\) −5.29009 + 4.43891i −0.661261 + 0.554864i
\(5\) 2.68017 + 15.2000i 0.239721 + 1.35953i 0.832439 + 0.554117i \(0.186944\pi\)
−0.592717 + 0.805410i \(0.701945\pi\)
\(6\) 5.09348 1.89791i 0.346568 0.129137i
\(7\) −18.0349 15.1331i −0.973794 0.817110i 0.00934778 0.999956i \(-0.497024\pi\)
−0.983142 + 0.182846i \(0.941469\pi\)
\(8\) 7.79628 13.5036i 0.344550 0.596779i
\(9\) 26.9969 0.411107i 0.999884 0.0152262i
\(10\) −8.07284 13.9826i −0.255286 0.442168i
\(11\) −7.09896 + 40.2602i −0.194583 + 1.10354i 0.718427 + 0.695602i \(0.244862\pi\)
−0.913011 + 0.407935i \(0.866249\pi\)
\(12\) 27.3117 23.2739i 0.657017 0.559882i
\(13\) 11.9280 + 4.34143i 0.254479 + 0.0926228i 0.466110 0.884727i \(-0.345655\pi\)
−0.211631 + 0.977350i \(0.567877\pi\)
\(14\) 23.1425 + 8.42319i 0.441793 + 0.160799i
\(15\) −14.5275 78.8731i −0.250065 1.35766i
\(16\) 6.76093 38.3432i 0.105640 0.599112i
\(17\) 23.8240 + 41.2643i 0.339892 + 0.588710i 0.984412 0.175877i \(-0.0562762\pi\)
−0.644520 + 0.764587i \(0.722943\pi\)
\(18\) −26.3907 + 10.0631i −0.345574 + 0.131771i
\(19\) −67.6602 + 117.191i −0.816964 + 1.41502i 0.0909443 + 0.995856i \(0.471011\pi\)
−0.907909 + 0.419168i \(0.862322\pi\)
\(20\) −81.6496 68.5122i −0.912871 0.765989i
\(21\) 94.3081 + 77.9181i 0.979986 + 0.809672i
\(22\) −7.42608 42.1154i −0.0719657 0.408138i
\(23\) 36.2326 30.4028i 0.328479 0.275627i −0.463601 0.886044i \(-0.653443\pi\)
0.792080 + 0.610418i \(0.208998\pi\)
\(24\) −39.9753 + 70.4729i −0.339997 + 0.599385i
\(25\) −106.394 + 38.7244i −0.851156 + 0.309795i
\(26\) −13.2784 −0.100158
\(27\) −140.260 + 3.20411i −0.999739 + 0.0228382i
\(28\) 162.581 1.09732
\(29\) −118.886 + 43.2708i −0.761258 + 0.277075i −0.693335 0.720615i \(-0.743859\pi\)
−0.0679230 + 0.997691i \(0.521637\pi\)
\(30\) 42.4996 + 72.3341i 0.258645 + 0.440211i
\(31\) 158.028 132.602i 0.915572 0.768256i −0.0575985 0.998340i \(-0.518344\pi\)
0.973171 + 0.230083i \(0.0738999\pi\)
\(32\) 28.7334 + 162.955i 0.158731 + 0.900210i
\(33\) 35.2935 209.473i 0.186176 1.10499i
\(34\) −38.1824 32.0388i −0.192595 0.161606i
\(35\) 181.686 314.689i 0.877444 1.51978i
\(36\) −140.991 + 122.011i −0.652736 + 0.564868i
\(37\) 93.6104 + 162.138i 0.415931 + 0.720414i 0.995526 0.0944909i \(-0.0301223\pi\)
−0.579594 + 0.814905i \(0.696789\pi\)
\(38\) 24.5809 139.405i 0.104936 0.595120i
\(39\) −62.1496 22.0862i −0.255177 0.0906827i
\(40\) 226.149 + 82.3116i 0.893933 + 0.325365i
\(41\) −41.7814 15.2072i −0.159150 0.0579260i 0.261216 0.965280i \(-0.415876\pi\)
−0.420367 + 0.907354i \(0.638099\pi\)
\(42\) −120.582 42.8514i −0.443004 0.157431i
\(43\) 41.2948 234.195i 0.146451 0.830566i −0.819739 0.572737i \(-0.805882\pi\)
0.966191 0.257829i \(-0.0830072\pi\)
\(44\) −141.157 244.492i −0.483642 0.837693i
\(45\) 78.6049 + 409.250i 0.260394 + 1.35572i
\(46\) −24.7389 + 42.8490i −0.0792946 + 0.137342i
\(47\) 83.8400 + 70.3501i 0.260198 + 0.218332i 0.763549 0.645750i \(-0.223455\pi\)
−0.503351 + 0.864082i \(0.667900\pi\)
\(48\) −33.6130 + 199.499i −0.101075 + 0.599899i
\(49\) 36.6864 + 208.059i 0.106957 + 0.606585i
\(50\) 90.7302 76.1317i 0.256624 0.215333i
\(51\) −125.422 213.467i −0.344364 0.586105i
\(52\) −82.3713 + 29.9807i −0.219670 + 0.0799534i
\(53\) 11.6792 0.0302692 0.0151346 0.999885i \(-0.495182\pi\)
0.0151346 + 0.999885i \(0.495182\pi\)
\(54\) 136.728 53.3317i 0.344561 0.134399i
\(55\) −630.981 −1.54693
\(56\) −344.956 + 125.554i −0.823155 + 0.299604i
\(57\) 346.927 611.601i 0.806168 1.42120i
\(58\) 101.382 85.0698i 0.229520 0.192590i
\(59\) 126.168 + 715.536i 0.278402 + 1.57890i 0.727944 + 0.685636i \(0.240476\pi\)
−0.449542 + 0.893259i \(0.648413\pi\)
\(60\) 426.962 + 352.759i 0.918676 + 0.759017i
\(61\) −45.5286 38.2030i −0.0955629 0.0801868i 0.593755 0.804646i \(-0.297645\pi\)
−0.689317 + 0.724459i \(0.742089\pi\)
\(62\) −107.899 + 186.886i −0.221018 + 0.382815i
\(63\) −493.108 401.132i −0.986122 0.802188i
\(64\) 69.1916 + 119.843i 0.135140 + 0.234069i
\(65\) −34.0207 + 192.941i −0.0649192 + 0.368175i
\(66\) 40.2520 + 218.538i 0.0750709 + 0.407578i
\(67\) −290.347 105.678i −0.529426 0.192695i 0.0634560 0.997985i \(-0.479788\pi\)
−0.592882 + 0.805289i \(0.702010\pi\)
\(68\) −309.199 112.539i −0.551411 0.200697i
\(69\) −187.062 + 159.406i −0.326371 + 0.278120i
\(70\) −66.0065 + 374.341i −0.112704 + 0.639176i
\(71\) 130.821 + 226.589i 0.218671 + 0.378749i 0.954402 0.298525i \(-0.0964946\pi\)
−0.735731 + 0.677274i \(0.763161\pi\)
\(72\) 204.924 367.759i 0.335424 0.601956i
\(73\) 186.795 323.539i 0.299490 0.518731i −0.676530 0.736415i \(-0.736517\pi\)
0.976019 + 0.217684i \(0.0698502\pi\)
\(74\) −150.028 125.889i −0.235681 0.197760i
\(75\) 551.294 205.421i 0.848772 0.316266i
\(76\) −162.272 920.288i −0.244919 1.38900i
\(77\) 737.290 618.660i 1.09120 0.915622i
\(78\) 68.9947 0.525293i 0.100155 0.000762535i
\(79\) −128.935 + 46.9287i −0.183625 + 0.0668340i −0.432196 0.901780i \(-0.642261\pi\)
0.248571 + 0.968614i \(0.420039\pi\)
\(80\) 600.936 0.839833
\(81\) 728.662 22.1972i 0.999536 0.0304489i
\(82\) 46.5117 0.0626385
\(83\) 1033.80 376.273i 1.36716 0.497606i 0.448901 0.893581i \(-0.351816\pi\)
0.918261 + 0.395975i \(0.129593\pi\)
\(84\) −844.769 + 6.43168i −1.09728 + 0.00835422i
\(85\) −563.365 + 472.719i −0.718888 + 0.603219i
\(86\) 43.1977 + 244.986i 0.0541642 + 0.307181i
\(87\) 616.018 229.538i 0.759127 0.282863i
\(88\) 488.311 + 409.741i 0.591524 + 0.496347i
\(89\) −716.067 + 1240.26i −0.852842 + 1.47717i 0.0257897 + 0.999667i \(0.491790\pi\)
−0.878632 + 0.477499i \(0.841543\pi\)
\(90\) −223.690 374.167i −0.261989 0.438229i
\(91\) −149.421 258.805i −0.172127 0.298133i
\(92\) −56.7185 + 321.667i −0.0642751 + 0.364522i
\(93\) −815.870 + 695.250i −0.909697 + 0.775205i
\(94\) −107.584 39.1574i −0.118047 0.0429657i
\(95\) −1962.64 714.343i −2.11961 0.771474i
\(96\) −155.746 845.580i −0.165580 0.898976i
\(97\) 137.698 780.924i 0.144135 0.817431i −0.823922 0.566703i \(-0.808219\pi\)
0.968057 0.250728i \(-0.0806701\pi\)
\(98\) −110.502 191.395i −0.113902 0.197284i
\(99\) −175.098 + 1089.82i −0.177758 + 1.10637i
\(100\) 390.942 677.131i 0.390942 0.677131i
\(101\) 647.510 + 543.325i 0.637917 + 0.535276i 0.903378 0.428846i \(-0.141080\pi\)
−0.265461 + 0.964122i \(0.585524\pi\)
\(102\) 199.663 + 164.963i 0.193820 + 0.160135i
\(103\) 293.566 + 1664.89i 0.280834 + 1.59269i 0.719798 + 0.694184i \(0.244234\pi\)
−0.438964 + 0.898505i \(0.644654\pi\)
\(104\) 151.619 127.223i 0.142956 0.119955i
\(105\) −931.592 + 1642.31i −0.865848 + 1.52641i
\(106\) −11.4806 + 4.17860i −0.0105198 + 0.00382889i
\(107\) −1055.10 −0.953275 −0.476638 0.879100i \(-0.658145\pi\)
−0.476638 + 0.879100i \(0.658145\pi\)
\(108\) 727.762 639.549i 0.648416 0.569821i
\(109\) 1352.76 1.18873 0.594363 0.804197i \(-0.297404\pi\)
0.594363 + 0.804197i \(0.297404\pi\)
\(110\) 620.250 225.752i 0.537623 0.195679i
\(111\) −492.814 838.766i −0.421404 0.717227i
\(112\) −702.183 + 589.202i −0.592412 + 0.497092i
\(113\) −185.962 1054.64i −0.154813 0.877986i −0.958957 0.283552i \(-0.908487\pi\)
0.804144 0.594434i \(-0.202624\pi\)
\(114\) −122.208 + 725.323i −0.100402 + 0.595901i
\(115\) 559.231 + 469.250i 0.453466 + 0.380503i
\(116\) 436.840 756.628i 0.349651 0.605614i
\(117\) 323.803 + 112.301i 0.255860 + 0.0887374i
\(118\) −380.027 658.226i −0.296477 0.513514i
\(119\) 194.793 1104.73i 0.150056 0.851011i
\(120\) −1178.33 418.745i −0.896384 0.318550i
\(121\) −319.758 116.382i −0.240239 0.0874399i
\(122\) 58.4226 + 21.2641i 0.0433552 + 0.0157800i
\(123\) 217.698 + 77.3638i 0.159587 + 0.0567126i
\(124\) −247.378 + 1402.95i −0.179155 + 1.01604i
\(125\) 90.8887 + 157.424i 0.0650347 + 0.112643i
\(126\) 628.238 + 217.886i 0.444190 + 0.154054i
\(127\) −390.223 + 675.886i −0.272651 + 0.472245i −0.969540 0.244934i \(-0.921234\pi\)
0.696889 + 0.717179i \(0.254567\pi\)
\(128\) −1124.95 943.943i −0.776814 0.651825i
\(129\) −205.303 + 1218.51i −0.140124 + 0.831657i
\(130\) −35.5884 201.832i −0.0240100 0.136168i
\(131\) 1968.87 1652.07i 1.31313 1.10185i 0.325422 0.945569i \(-0.394494\pi\)
0.987712 0.156282i \(-0.0499509\pi\)
\(132\) 743.126 + 1264.79i 0.490006 + 0.833987i
\(133\) 2993.71 1089.62i 1.95178 0.710392i
\(134\) 323.219 0.208372
\(135\) −424.621 2123.35i −0.270708 1.35370i
\(136\) 742.954 0.468439
\(137\) −1381.39 + 502.786i −0.861463 + 0.313547i −0.734705 0.678387i \(-0.762679\pi\)
−0.126758 + 0.991934i \(0.540457\pi\)
\(138\) 126.848 223.622i 0.0782467 0.137942i
\(139\) 1104.10 926.448i 0.673729 0.565326i −0.240438 0.970665i \(-0.577291\pi\)
0.914166 + 0.405339i \(0.132846\pi\)
\(140\) 435.743 + 2471.22i 0.263050 + 1.49183i
\(141\) −438.416 362.223i −0.261853 0.216345i
\(142\) −209.666 175.930i −0.123907 0.103970i
\(143\) −259.463 + 449.404i −0.151730 + 0.262804i
\(144\) 166.761 1037.92i 0.0965052 0.600651i
\(145\) −976.348 1691.08i −0.559181 0.968530i
\(146\) −67.8627 + 384.869i −0.0384682 + 0.218164i
\(147\) −198.853 1079.62i −0.111572 0.605753i
\(148\) −1214.92 442.196i −0.674771 0.245596i
\(149\) −2536.57 923.237i −1.39466 0.507614i −0.468070 0.883691i \(-0.655051\pi\)
−0.926588 + 0.376077i \(0.877273\pi\)
\(150\) −468.423 + 399.170i −0.254977 + 0.217280i
\(151\) −178.841 + 1014.26i −0.0963835 + 0.546618i 0.897931 + 0.440136i \(0.145070\pi\)
−0.994315 + 0.106482i \(0.966041\pi\)
\(152\) 1055.00 + 1827.31i 0.562971 + 0.975094i
\(153\) 660.137 + 1104.21i 0.348816 + 0.583466i
\(154\) −503.407 + 871.927i −0.263414 + 0.456246i
\(155\) 2439.08 + 2046.63i 1.26395 + 1.06058i
\(156\) 426.816 159.038i 0.219055 0.0816235i
\(157\) −170.059 964.451i −0.0864469 0.490265i −0.997035 0.0769498i \(-0.975482\pi\)
0.910588 0.413315i \(-0.135629\pi\)
\(158\) 109.953 92.2612i 0.0553630 0.0464551i
\(159\) −60.6854 + 0.462030i −0.0302683 + 0.000230449i
\(160\) −2399.91 + 873.495i −1.18581 + 0.431599i
\(161\) −1113.54 −0.545088
\(162\) −708.328 + 282.521i −0.343528 + 0.137018i
\(163\) −2890.61 −1.38902 −0.694509 0.719484i \(-0.744379\pi\)
−0.694509 + 0.719484i \(0.744379\pi\)
\(164\) 288.531 105.017i 0.137381 0.0500026i
\(165\) 3278.58 24.9616i 1.54689 0.0117773i
\(166\) −881.597 + 739.748i −0.412200 + 0.345877i
\(167\) 198.680 + 1126.77i 0.0920620 + 0.522110i 0.995608 + 0.0936188i \(0.0298435\pi\)
−0.903546 + 0.428491i \(0.859045\pi\)
\(168\) 1787.42 666.023i 0.820850 0.305862i
\(169\) −1559.57 1308.64i −0.709864 0.595646i
\(170\) 384.654 666.240i 0.173539 0.300578i
\(171\) −1778.44 + 3191.61i −0.795324 + 1.42730i
\(172\) 821.115 + 1422.21i 0.364008 + 0.630481i
\(173\) 126.482 717.312i 0.0555850 0.315238i −0.944320 0.329029i \(-0.893279\pi\)
0.999905 + 0.0137904i \(0.00438977\pi\)
\(174\) −523.417 + 446.034i −0.228047 + 0.194332i
\(175\) 2504.83 + 911.685i 1.08199 + 0.393811i
\(176\) 1495.71 + 544.393i 0.640587 + 0.233154i
\(177\) −683.877 3712.93i −0.290414 1.57673i
\(178\) 260.147 1475.37i 0.109544 0.621255i
\(179\) −525.620 910.400i −0.219479 0.380148i 0.735170 0.677883i \(-0.237102\pi\)
−0.954649 + 0.297735i \(0.903769\pi\)
\(180\) −2232.45 1816.05i −0.924428 0.752001i
\(181\) 521.671 903.561i 0.214229 0.371056i −0.738805 0.673920i \(-0.764609\pi\)
0.953034 + 0.302864i \(0.0979427\pi\)
\(182\) 239.475 + 200.943i 0.0975334 + 0.0818402i
\(183\) 238.078 + 196.702i 0.0961706 + 0.0794569i
\(184\) −128.066 726.298i −0.0513106 0.290997i
\(185\) −2213.60 + 1857.43i −0.879715 + 0.738169i
\(186\) 553.248 975.328i 0.218098 0.384487i
\(187\) −1830.44 + 666.224i −0.715801 + 0.260530i
\(188\) −755.798 −0.293204
\(189\) 2578.06 + 2064.77i 0.992201 + 0.794657i
\(190\) 2184.84 0.834237
\(191\) 342.587 124.692i 0.129784 0.0472375i −0.276312 0.961068i \(-0.589112\pi\)
0.406096 + 0.913831i \(0.366890\pi\)
\(192\) −364.261 619.970i −0.136918 0.233034i
\(193\) 627.855 526.833i 0.234166 0.196489i −0.518152 0.855288i \(-0.673380\pi\)
0.752318 + 0.658800i \(0.228936\pi\)
\(194\) 144.043 + 816.909i 0.0533077 + 0.302323i
\(195\) 169.139 1003.87i 0.0621143 0.368659i
\(196\) −1117.63 937.801i −0.407299 0.341764i
\(197\) 1084.39 1878.22i 0.392180 0.679276i −0.600557 0.799582i \(-0.705054\pi\)
0.992737 + 0.120306i \(0.0383876\pi\)
\(198\) −217.795 1133.93i −0.0781717 0.406995i
\(199\) 2026.30 + 3509.66i 0.721813 + 1.25022i 0.960272 + 0.279065i \(0.0900244\pi\)
−0.238459 + 0.971153i \(0.576642\pi\)
\(200\) −306.564 + 1738.61i −0.108387 + 0.614692i
\(201\) 1512.82 + 537.615i 0.530878 + 0.188659i
\(202\) −830.889 302.419i −0.289412 0.105337i
\(203\) 2798.91 + 1018.72i 0.967709 + 0.352217i
\(204\) 1611.05 + 572.523i 0.552923 + 0.196493i
\(205\) 119.168 675.835i 0.0406002 0.230255i
\(206\) −884.239 1531.55i −0.299067 0.518000i
\(207\) 965.668 835.675i 0.324244 0.280596i
\(208\) 247.109 428.005i 0.0823745 0.142677i
\(209\) −4237.82 3555.95i −1.40256 1.17689i
\(210\) 328.161 1947.69i 0.107835 0.640016i
\(211\) −9.81661 55.6728i −0.00320286 0.0181643i 0.983164 0.182723i \(-0.0584911\pi\)
−0.986367 + 0.164559i \(0.947380\pi\)
\(212\) −61.7842 + 51.8431i −0.0200158 + 0.0167953i
\(213\) −688.711 1172.18i −0.221548 0.377073i
\(214\) 1037.16 377.494i 0.331302 0.120584i
\(215\) 3670.43 1.16428
\(216\) −1050.24 + 1918.98i −0.330831 + 0.604492i
\(217\) −4856.70 −1.51933
\(218\) −1329.76 + 483.992i −0.413131 + 0.150367i
\(219\) −957.790 + 1688.50i −0.295532 + 0.520997i
\(220\) 3337.94 2800.87i 1.02293 0.858338i
\(221\) 105.026 + 595.631i 0.0319674 + 0.181296i
\(222\) 784.527 + 648.182i 0.237180 + 0.195960i
\(223\) 282.857 + 237.345i 0.0849395 + 0.0712727i 0.684269 0.729230i \(-0.260122\pi\)
−0.599329 + 0.800503i \(0.704566\pi\)
\(224\) 1947.81 3373.71i 0.580999 1.00632i
\(225\) −2856.40 + 1089.18i −0.846340 + 0.322719i
\(226\) 560.130 + 970.173i 0.164864 + 0.285553i
\(227\) −373.816 + 2120.01i −0.109300 + 0.619869i 0.880116 + 0.474759i \(0.157465\pi\)
−0.989416 + 0.145110i \(0.953646\pi\)
\(228\) 879.570 + 4775.40i 0.255487 + 1.38710i
\(229\) 3772.34 + 1373.02i 1.08857 + 0.396208i 0.823092 0.567909i \(-0.192247\pi\)
0.265480 + 0.964116i \(0.414470\pi\)
\(230\) −717.609 261.188i −0.205729 0.0748793i
\(231\) −3806.49 + 3243.73i −1.08419 + 0.923903i
\(232\) −342.556 + 1942.73i −0.0969391 + 0.549769i
\(233\) −881.056 1526.03i −0.247725 0.429072i 0.715169 0.698951i \(-0.246350\pi\)
−0.962894 + 0.269879i \(0.913016\pi\)
\(234\) −358.476 + 5.45885i −0.100147 + 0.00152503i
\(235\) −844.615 + 1462.92i −0.234454 + 0.406086i
\(236\) −3843.64 3225.20i −1.06017 0.889587i
\(237\) 668.093 248.942i 0.183111 0.0682301i
\(238\) 203.770 + 1155.63i 0.0554975 + 0.314742i
\(239\) 2444.98 2051.58i 0.661726 0.555254i −0.248878 0.968535i \(-0.580062\pi\)
0.910604 + 0.413281i \(0.135617\pi\)
\(240\) −3122.46 + 23.7730i −0.839809 + 0.00639392i
\(241\) 2116.26 770.257i 0.565646 0.205878i −0.0433387 0.999060i \(-0.513799\pi\)
0.608984 + 0.793182i \(0.291577\pi\)
\(242\) 355.960 0.0945535
\(243\) −3785.25 + 144.163i −0.999276 + 0.0380578i
\(244\) 410.430 0.107685
\(245\) −3064.16 + 1115.26i −0.799029 + 0.290823i
\(246\) −241.675 + 1.84000i −0.0626367 + 0.000476887i
\(247\) −1315.83 + 1104.11i −0.338964 + 0.284425i
\(248\) −558.559 3167.75i −0.143018 0.811097i
\(249\) −5356.75 + 1996.01i −1.36333 + 0.508001i
\(250\) −145.666 122.228i −0.0368509 0.0309216i
\(251\) −2815.86 + 4877.20i −0.708108 + 1.22648i 0.257449 + 0.966292i \(0.417118\pi\)
−0.965558 + 0.260188i \(0.916215\pi\)
\(252\) 4389.17 66.8381i 1.09719 0.0167079i
\(253\) 966.808 + 1674.56i 0.240248 + 0.416121i
\(254\) 141.768 804.005i 0.0350209 0.198613i
\(255\) 2908.54 2478.54i 0.714275 0.608674i
\(256\) 403.238 + 146.767i 0.0984467 + 0.0358317i
\(257\) 6307.99 + 2295.92i 1.53106 + 0.557259i 0.963880 0.266338i \(-0.0858136\pi\)
0.567176 + 0.823596i \(0.308036\pi\)
\(258\) −234.147 1271.24i −0.0565013 0.306759i
\(259\) 765.393 4340.76i 0.183626 1.04140i
\(260\) −676.475 1171.69i −0.161358 0.279481i
\(261\) −3191.75 + 1217.05i −0.756951 + 0.288634i
\(262\) −1344.30 + 2328.40i −0.316990 + 0.549042i
\(263\) 4224.56 + 3544.82i 0.990484 + 0.831115i 0.985638 0.168874i \(-0.0540130\pi\)
0.00484607 + 0.999988i \(0.498457\pi\)
\(264\) −2553.47 2109.70i −0.595285 0.491829i
\(265\) 31.3023 + 177.524i 0.00725617 + 0.0411518i
\(266\) −2552.95 + 2142.18i −0.588464 + 0.493780i
\(267\) 3671.62 6472.75i 0.841572 1.48362i
\(268\) 2005.06 729.780i 0.457008 0.166337i
\(269\) 813.037 0.184282 0.0921408 0.995746i \(-0.470629\pi\)
0.0921408 + 0.995746i \(0.470629\pi\)
\(270\) 1177.09 + 1935.32i 0.265317 + 0.436222i
\(271\) 5803.74 1.30093 0.650465 0.759536i \(-0.274574\pi\)
0.650465 + 0.759536i \(0.274574\pi\)
\(272\) 1743.28 634.501i 0.388609 0.141442i
\(273\) 786.630 + 1338.84i 0.174392 + 0.296814i
\(274\) 1178.01 988.471i 0.259731 0.217941i
\(275\) −803.763 4558.37i −0.176250 0.999563i
\(276\) 281.984 1673.62i 0.0614980 0.365001i
\(277\) −2413.49 2025.16i −0.523511 0.439278i 0.342343 0.939575i \(-0.388780\pi\)
−0.865854 + 0.500297i \(0.833224\pi\)
\(278\) −753.856 + 1305.72i −0.162638 + 0.281697i
\(279\) 4211.76 3644.79i 0.903769 0.782108i
\(280\) −2832.95 4906.82i −0.604647 1.04728i
\(281\) 1128.17 6398.19i 0.239506 1.35831i −0.593407 0.804903i \(-0.702217\pi\)
0.832913 0.553404i \(-0.186671\pi\)
\(282\) 560.556 + 199.206i 0.118371 + 0.0420657i
\(283\) −5039.70 1834.30i −1.05858 0.385293i −0.246688 0.969095i \(-0.579342\pi\)
−0.811896 + 0.583802i \(0.801564\pi\)
\(284\) −1697.86 617.972i −0.354752 0.129119i
\(285\) 10226.1 + 3634.08i 2.12542 + 0.755314i
\(286\) 94.2629 534.592i 0.0194891 0.110528i
\(287\) 523.393 + 906.543i 0.107648 + 0.186451i
\(288\) 842.705 + 4387.47i 0.172420 + 0.897689i
\(289\) 1321.34 2288.62i 0.268947 0.465830i
\(290\) 1564.78 + 1313.01i 0.316852 + 0.265870i
\(291\) −684.586 + 4063.13i −0.137908 + 0.818505i
\(292\) 447.997 + 2540.72i 0.0897844 + 0.509193i
\(293\) −6595.63 + 5534.39i −1.31509 + 1.10349i −0.327766 + 0.944759i \(0.606296\pi\)
−0.987322 + 0.158731i \(0.949260\pi\)
\(294\) 581.739 + 990.116i 0.115400 + 0.196411i
\(295\) −10538.0 + 3835.51i −2.07981 + 0.756990i
\(296\) 2919.25 0.573237
\(297\) 866.699 5669.62i 0.169330 1.10769i
\(298\) 2823.75 0.548911
\(299\) 564.174 205.342i 0.109120 0.0397166i
\(300\) −2004.55 + 3533.84i −0.385775 + 0.680088i
\(301\) −4288.84 + 3598.76i −0.821277 + 0.689133i
\(302\) −187.082 1061.00i −0.0356469 0.202164i
\(303\) −3385.96 2797.50i −0.641974 0.530404i
\(304\) 4036.03 + 3386.63i 0.761454 + 0.638936i
\(305\) 458.661 794.424i 0.0861077 0.149143i
\(306\) −1043.98 849.251i −0.195033 0.158655i
\(307\) −1613.24 2794.22i −0.299911 0.519461i 0.676204 0.736714i \(-0.263624\pi\)
−0.976115 + 0.217253i \(0.930290\pi\)
\(308\) −1154.15 + 6545.53i −0.213520 + 1.21093i
\(309\) −1591.23 8639.18i −0.292951 1.59050i
\(310\) −3129.85 1139.17i −0.573431 0.208712i
\(311\) 336.079 + 122.323i 0.0612775 + 0.0223032i 0.372477 0.928041i \(-0.378509\pi\)
−0.311200 + 0.950345i \(0.600731\pi\)
\(312\) −782.779 + 667.050i −0.142039 + 0.121039i
\(313\) −1107.26 + 6279.59i −0.199955 + 1.13400i 0.705227 + 0.708981i \(0.250845\pi\)
−0.905183 + 0.425023i \(0.860266\pi\)
\(314\) 512.228 + 887.206i 0.0920596 + 0.159452i
\(315\) 4775.58 8570.32i 0.854202 1.53296i
\(316\) 473.768 820.590i 0.0843402 0.146082i
\(317\) 6742.70 + 5657.79i 1.19466 + 1.00244i 0.999766 + 0.0216156i \(0.00688099\pi\)
0.194895 + 0.980824i \(0.437563\pi\)
\(318\) 59.4880 22.1662i 0.0104903 0.00390887i
\(319\) −898.127 5093.53i −0.157635 0.893991i
\(320\) −1636.17 + 1372.91i −0.285828 + 0.239838i
\(321\) 5482.31 41.7397i 0.953248 0.00725759i
\(322\) 1094.60 398.403i 0.189440 0.0689506i
\(323\) −6447.74 −1.11072
\(324\) −3756.15 + 3351.89i −0.644059 + 0.574741i
\(325\) −1437.19 −0.245296
\(326\) 2841.45 1034.20i 0.482740 0.175703i
\(327\) −7028.96 + 53.5152i −1.18869 + 0.00905015i
\(328\) −531.091 + 445.638i −0.0894043 + 0.0750191i
\(329\) −447.432 2537.52i −0.0749780 0.425221i
\(330\) −3213.89 + 1197.55i −0.536117 + 0.199766i
\(331\) 4268.76 + 3581.91i 0.708858 + 0.594803i 0.924279 0.381719i \(-0.124668\pi\)
−0.215420 + 0.976521i \(0.569112\pi\)
\(332\) −3798.66 + 6579.47i −0.627947 + 1.08764i
\(333\) 2593.84 + 4338.74i 0.426852 + 0.713998i
\(334\) −598.439 1036.53i −0.0980393 0.169809i
\(335\) 828.120 4696.50i 0.135060 0.765962i
\(336\) 3625.24 3089.27i 0.588610 0.501588i
\(337\) 276.634 + 100.686i 0.0447157 + 0.0162752i 0.364281 0.931289i \(-0.381315\pi\)
−0.319565 + 0.947564i \(0.603537\pi\)
\(338\) 2001.25 + 728.396i 0.322052 + 0.117218i
\(339\) 1007.98 + 5472.57i 0.161493 + 0.876782i
\(340\) 881.891 5001.45i 0.140668 0.797770i
\(341\) 4216.73 + 7303.59i 0.669644 + 1.15986i
\(342\) 606.298 3773.62i 0.0958621 0.596649i
\(343\) −1550.67 + 2685.84i −0.244106 + 0.422804i
\(344\) −2840.51 2383.47i −0.445204 0.373571i
\(345\) −2924.33 2416.10i −0.456349 0.377039i
\(346\) 132.310 + 750.366i 0.0205578 + 0.116589i
\(347\) 230.707 193.586i 0.0356917 0.0299489i −0.624767 0.780811i \(-0.714806\pi\)
0.660459 + 0.750862i \(0.270362\pi\)
\(348\) −2239.89 + 3948.72i −0.345030 + 0.608258i
\(349\) 7527.49 2739.78i 1.15455 0.420221i 0.307401 0.951580i \(-0.400541\pi\)
0.847147 + 0.531359i \(0.178319\pi\)
\(350\) −2788.42 −0.425849
\(351\) −1686.92 570.709i −0.256528 0.0867868i
\(352\) −6764.60 −1.02430
\(353\) −1832.30 + 666.904i −0.276271 + 0.100555i −0.476440 0.879207i \(-0.658073\pi\)
0.200169 + 0.979761i \(0.435851\pi\)
\(354\) 2000.66 + 3405.11i 0.300378 + 0.511242i
\(355\) −3093.53 + 2595.78i −0.462500 + 0.388083i
\(356\) −1717.37 9739.67i −0.255675 1.45000i
\(357\) −968.444 + 5747.88i −0.143573 + 0.852129i
\(358\) 842.404 + 706.861i 0.124364 + 0.104354i
\(359\) 1524.21 2640.01i 0.224080 0.388119i −0.731963 0.681345i \(-0.761396\pi\)
0.956043 + 0.293226i \(0.0947289\pi\)
\(360\) 6139.16 + 2129.18i 0.898783 + 0.311716i
\(361\) −5726.32 9918.27i −0.834862 1.44602i
\(362\) −189.523 + 1074.84i −0.0275169 + 0.156056i
\(363\) 1666.07 + 592.074i 0.240898 + 0.0856083i
\(364\) 1939.26 + 705.833i 0.279244 + 0.101637i
\(365\) 5418.43 + 1972.15i 0.777024 + 0.282813i
\(366\) −304.405 108.177i −0.0434741 0.0154495i
\(367\) 213.215 1209.20i 0.0303262 0.171988i −0.965883 0.258979i \(-0.916614\pi\)
0.996209 + 0.0869907i \(0.0277250\pi\)
\(368\) −920.772 1594.82i −0.130431 0.225913i
\(369\) −1134.22 393.370i −0.160014 0.0554960i
\(370\) 1511.40 2617.83i 0.212363 0.367823i
\(371\) −210.634 176.743i −0.0294760 0.0247333i
\(372\) 1229.87 7299.51i 0.171414 1.01737i
\(373\) 13.3473 + 75.6964i 0.00185281 + 0.0105078i 0.985720 0.168392i \(-0.0538574\pi\)
−0.983867 + 0.178900i \(0.942746\pi\)
\(374\) 1560.94 1309.79i 0.215814 0.181090i
\(375\) −478.486 814.379i −0.0658904 0.112145i
\(376\) 1603.62 583.669i 0.219947 0.0800543i
\(377\) −1605.92 −0.219388
\(378\) −3272.95 1107.28i −0.445350 0.150668i
\(379\) 4538.70 0.615138 0.307569 0.951526i \(-0.400485\pi\)
0.307569 + 0.951526i \(0.400485\pi\)
\(380\) 13553.4 4933.05i 1.82968 0.665948i
\(381\) 2000.86 3527.34i 0.269048 0.474307i
\(382\) −292.149 + 245.142i −0.0391299 + 0.0328339i
\(383\) −1582.94 8977.31i −0.211187 1.19770i −0.887402 0.460996i \(-0.847492\pi\)
0.676215 0.736704i \(-0.263619\pi\)
\(384\) 5882.57 + 4860.23i 0.781754 + 0.645892i
\(385\) 11379.7 + 9548.69i 1.50640 + 1.26402i
\(386\) −428.687 + 742.508i −0.0565275 + 0.0979084i
\(387\) 1018.55 6339.50i 0.133788 0.832700i
\(388\) 2738.02 + 4742.38i 0.358252 + 0.620511i
\(389\) 41.7951 237.032i 0.00544755 0.0308946i −0.981963 0.189074i \(-0.939451\pi\)
0.987410 + 0.158180i \(0.0505625\pi\)
\(390\) 192.902 + 1047.31i 0.0250460 + 0.135981i
\(391\) 2117.75 + 770.800i 0.273912 + 0.0996957i
\(392\) 3095.55 + 1126.69i 0.398849 + 0.145169i
\(393\) −10164.9 + 8662.07i −1.30471 + 1.11182i
\(394\) −393.958 + 2234.25i −0.0503739 + 0.285685i
\(395\) −1058.88 1834.04i −0.134882 0.233622i
\(396\) −3911.32 6542.48i −0.496341 0.830232i
\(397\) 5249.73 9092.81i 0.663669 1.14951i −0.315975 0.948767i \(-0.602332\pi\)
0.979644 0.200741i \(-0.0643350\pi\)
\(398\) −3247.53 2725.00i −0.409005 0.343196i
\(399\) −15512.2 + 5780.10i −1.94632 + 0.725231i
\(400\) 765.491 + 4341.31i 0.0956863 + 0.542664i
\(401\) −11889.8 + 9976.74i −1.48067 + 1.24243i −0.575207 + 0.818008i \(0.695079\pi\)
−0.905464 + 0.424423i \(0.860477\pi\)
\(402\) −1679.44 + 12.7865i −0.208366 + 0.00158640i
\(403\) 2460.64 895.601i 0.304152 0.110702i
\(404\) −5837.16 −0.718835
\(405\) 2290.33 + 11016.2i 0.281006 + 1.35160i
\(406\) −3115.79 −0.380872
\(407\) −7192.25 + 2617.76i −0.875937 + 0.318815i
\(408\) −3860.39 + 29.3912i −0.468426 + 0.00356638i
\(409\) 4365.10 3662.76i 0.527727 0.442816i −0.339588 0.940574i \(-0.610288\pi\)
0.867316 + 0.497758i \(0.165843\pi\)
\(410\) 124.659 + 706.977i 0.0150158 + 0.0851588i
\(411\) 7157.83 2667.13i 0.859051 0.320096i
\(412\) −8943.30 7504.32i −1.06943 0.897358i
\(413\) 8552.83 14813.9i 1.01903 1.76500i
\(414\) −650.257 + 1166.96i −0.0771942 + 0.138534i
\(415\) 8490.10 + 14705.3i 1.00425 + 1.73941i
\(416\) −364.728 + 2068.48i −0.0429862 + 0.243787i
\(417\) −5700.24 + 4857.50i −0.669405 + 0.570439i
\(418\) 5437.99 + 1979.27i 0.636318 + 0.231601i
\(419\) −8940.47 3254.06i −1.04241 0.379407i −0.236617 0.971603i \(-0.576039\pi\)
−0.805794 + 0.592196i \(0.798261\pi\)
\(420\) −2361.88 12823.2i −0.274400 1.48979i
\(421\) −1986.28 + 11264.7i −0.229941 + 1.30406i 0.623069 + 0.782167i \(0.285885\pi\)
−0.853010 + 0.521894i \(0.825226\pi\)
\(422\) 29.5683 + 51.2138i 0.00341081 + 0.00590770i
\(423\) 2292.34 + 1864.77i 0.263492 + 0.214345i
\(424\) 91.0547 157.711i 0.0104293 0.0180640i
\(425\) −4132.68 3467.73i −0.471681 0.395787i
\(426\) 1096.38 + 905.840i 0.124695 + 0.103024i
\(427\) 242.974 + 1377.98i 0.0275371 + 0.156171i
\(428\) 5581.57 4683.50i 0.630364 0.528938i
\(429\) 1330.39 2345.37i 0.149725 0.263952i
\(430\) −3608.01 + 1313.21i −0.404636 + 0.147276i
\(431\) 6855.26 0.766139 0.383070 0.923719i \(-0.374867\pi\)
0.383070 + 0.923719i \(0.374867\pi\)
\(432\) −825.430 + 5399.66i −0.0919294 + 0.601368i
\(433\) 4284.51 0.475521 0.237760 0.971324i \(-0.423587\pi\)
0.237760 + 0.971324i \(0.423587\pi\)
\(434\) 4774.10 1737.63i 0.528028 0.192187i
\(435\) 5140.01 + 8748.25i 0.566539 + 0.964245i
\(436\) −7156.23 + 6004.79i −0.786058 + 0.659581i
\(437\) 1111.42 + 6303.19i 0.121663 + 0.689983i
\(438\) 337.389 2002.46i 0.0368061 0.218451i
\(439\) −10557.0 8858.38i −1.14774 0.963070i −0.148077 0.988976i \(-0.547309\pi\)
−0.999664 + 0.0259060i \(0.991753\pi\)
\(440\) −4919.30 + 8520.49i −0.532997 + 0.923178i
\(441\) 1075.95 + 5601.85i 0.116181 + 0.604886i
\(442\) −316.345 547.925i −0.0340429 0.0589641i
\(443\) −410.540 + 2328.29i −0.0440301 + 0.249707i −0.998876 0.0473935i \(-0.984909\pi\)
0.954846 + 0.297100i \(0.0960196\pi\)
\(444\) 6330.24 + 2249.59i 0.676621 + 0.240452i
\(445\) −20771.2 7560.09i −2.21269 0.805354i
\(446\) −362.964 132.108i −0.0385355 0.0140258i
\(447\) 13216.6 + 4696.79i 1.39848 + 0.496982i
\(448\) 565.736 3208.45i 0.0596619 0.338359i
\(449\) −967.587 1675.91i −0.101700 0.176149i 0.810685 0.585482i \(-0.199095\pi\)
−0.912385 + 0.409333i \(0.865761\pi\)
\(450\) 2418.13 2092.62i 0.253315 0.219215i
\(451\) 908.850 1574.17i 0.0948915 0.164357i
\(452\) 5665.22 + 4753.68i 0.589534 + 0.494678i
\(453\) 889.136 5277.17i 0.0922191 0.547336i
\(454\) −391.041 2217.70i −0.0404239 0.229255i
\(455\) 3533.35 2964.84i 0.364057 0.305480i
\(456\) −5554.05 9452.96i −0.570378 0.970780i
\(457\) −4776.95 + 1738.67i −0.488964 + 0.177968i −0.574724 0.818348i \(-0.694890\pi\)
0.0857600 + 0.996316i \(0.472668\pi\)
\(458\) −4199.42 −0.428441
\(459\) −3473.75 5711.38i −0.353248 0.580794i
\(460\) −5041.34 −0.510986
\(461\) −7307.48 + 2659.71i −0.738272 + 0.268709i −0.683662 0.729799i \(-0.739614\pi\)
−0.0546099 + 0.998508i \(0.517392\pi\)
\(462\) 2581.21 4550.45i 0.259932 0.458238i
\(463\) 12156.4 10200.5i 1.22021 1.02388i 0.221398 0.975184i \(-0.428938\pi\)
0.998814 0.0486955i \(-0.0155064\pi\)
\(464\) 855.362 + 4851.00i 0.0855801 + 0.485349i
\(465\) −12754.4 10537.8i −1.27199 1.05092i
\(466\) 1412.06 + 1184.86i 0.140370 + 0.117784i
\(467\) −3439.99 + 5958.24i −0.340865 + 0.590395i −0.984594 0.174858i \(-0.944053\pi\)
0.643729 + 0.765254i \(0.277387\pi\)
\(468\) −2211.44 + 843.249i −0.218427 + 0.0832889i
\(469\) 3637.15 + 6299.74i 0.358098 + 0.620245i
\(470\) 306.848 1740.22i 0.0301146 0.170788i
\(471\) 921.779 + 5004.56i 0.0901770 + 0.489593i
\(472\) 10645.9 + 3874.80i 1.03817 + 0.377865i
\(473\) 9135.57 + 3325.08i 0.888063 + 0.323229i
\(474\) −567.664 + 483.739i −0.0550077 + 0.0468752i
\(475\) 2660.52 15088.6i 0.256996 1.45750i
\(476\) 3873.32 + 6708.78i 0.372969 + 0.646001i
\(477\) 315.303 4.80142i 0.0302657 0.000460885i
\(478\) −1669.38 + 2891.46i −0.159740 + 0.276678i
\(479\) −943.013 791.282i −0.0899528 0.0754793i 0.596702 0.802463i \(-0.296477\pi\)
−0.686655 + 0.726983i \(0.740922\pi\)
\(480\) 12435.4 4633.62i 1.18249 0.440615i
\(481\) 412.673 + 2340.38i 0.0391191 + 0.221855i
\(482\) −1804.69 + 1514.32i −0.170542 + 0.143102i
\(483\) 5785.95 44.0516i 0.545073 0.00414993i
\(484\) 2208.16 803.704i 0.207378 0.0754794i
\(485\) 12239.1 1.14587
\(486\) 3669.30 1496.00i 0.342475 0.139629i
\(487\) −5337.59 −0.496652 −0.248326 0.968677i \(-0.579880\pi\)
−0.248326 + 0.968677i \(0.579880\pi\)
\(488\) −870.830 + 316.956i −0.0807800 + 0.0294015i
\(489\) 15019.6 114.352i 1.38898 0.0105750i
\(490\) 2613.03 2192.59i 0.240908 0.202146i
\(491\) 1031.86 + 5851.97i 0.0948415 + 0.537873i 0.994796 + 0.101889i \(0.0324886\pi\)
−0.899954 + 0.435984i \(0.856400\pi\)
\(492\) −1495.05 + 557.081i −0.136996 + 0.0510470i
\(493\) −4617.87 3874.85i −0.421862 0.353985i
\(494\) 898.421 1556.11i 0.0818256 0.141726i
\(495\) −17034.5 + 259.401i −1.54676 + 0.0235539i
\(496\) −4015.95 6955.82i −0.363551 0.629689i
\(497\) 1069.64 6066.24i 0.0965393 0.547501i
\(498\) 4551.52 3878.61i 0.409555 0.349005i
\(499\) 11278.9 + 4105.19i 1.01185 + 0.368284i 0.794144 0.607730i \(-0.207920\pi\)
0.217708 + 0.976014i \(0.430142\pi\)
\(500\) −1179.60 429.339i −0.105507 0.0384013i
\(501\) −1076.92 5846.86i −0.0960343 0.521394i
\(502\) 1023.00 5801.72i 0.0909536 0.515823i
\(503\) −2465.92 4271.10i −0.218588 0.378606i 0.735788 0.677212i \(-0.236812\pi\)
−0.954377 + 0.298605i \(0.903479\pi\)
\(504\) −9261.11 + 3531.37i −0.818497 + 0.312103i
\(505\) −6523.10 + 11298.3i −0.574800 + 0.995583i
\(506\) −1549.49 1300.18i −0.136133 0.114229i
\(507\) 8155.30 + 6737.97i 0.714378 + 0.590225i
\(508\) −935.883 5307.66i −0.0817384 0.463561i
\(509\) 10406.5 8732.10i 0.906209 0.760400i −0.0651850 0.997873i \(-0.520764\pi\)
0.971394 + 0.237474i \(0.0763193\pi\)
\(510\) −1972.31 + 3477.00i −0.171246 + 0.301891i
\(511\) −8264.99 + 3008.21i −0.715502 + 0.260421i
\(512\) 11299.2 0.975312
\(513\) 9114.50 16653.9i 0.784435 1.43331i
\(514\) −7022.14 −0.602594
\(515\) −24519.5 + 8924.39i −2.09798 + 0.763603i
\(516\) −4322.78 7357.34i −0.368798 0.627692i
\(517\) −3427.49 + 2876.00i −0.291568 + 0.244655i
\(518\) 800.662 + 4540.78i 0.0679133 + 0.385155i
\(519\) −628.821 + 3732.16i −0.0531834 + 0.315652i
\(520\) 2340.15 + 1963.62i 0.197351 + 0.165597i
\(521\) 2801.92 4853.07i 0.235613 0.408094i −0.723838 0.689970i \(-0.757624\pi\)
0.959451 + 0.281877i \(0.0909569\pi\)
\(522\) 2702.03 2338.30i 0.226561 0.196062i
\(523\) −3114.24 5394.02i −0.260375 0.450983i 0.705967 0.708245i \(-0.250513\pi\)
−0.966342 + 0.257262i \(0.917180\pi\)
\(524\) −3082.06 + 17479.2i −0.256947 + 1.45722i
\(525\) −13051.2 4638.03i −1.08495 0.385562i
\(526\) −5420.98 1973.07i −0.449365 0.163555i
\(527\) 9236.58 + 3361.84i 0.763476 + 0.277882i
\(528\) −7793.24 2769.50i −0.642343 0.228271i
\(529\) −1724.30 + 9779.01i −0.141720 + 0.803732i
\(530\) −94.2847 163.306i −0.00772729 0.0133841i
\(531\) 3700.31 + 19265.4i 0.302410 + 1.57447i
\(532\) −11000.2 + 19053.0i −0.896468 + 1.55273i
\(533\) −432.347 362.783i −0.0351352 0.0294819i
\(534\) −1293.36 + 7676.30i −0.104811 + 0.622071i
\(535\) −2827.85 16037.5i −0.228520 1.29600i
\(536\) −3690.65 + 3096.83i −0.297410 + 0.249557i
\(537\) 2767.14 + 4709.65i 0.222366 + 0.378466i
\(538\) −799.210 + 290.889i −0.0640453 + 0.0233106i
\(539\) −8636.92 −0.690202
\(540\) 11671.7 + 9347.87i 0.930126 + 0.744941i
\(541\) 15860.5 1.26044 0.630219 0.776418i \(-0.282965\pi\)
0.630219 + 0.776418i \(0.282965\pi\)
\(542\) −5705.04 + 2076.46i −0.452126 + 0.164560i
\(543\) −2674.86 + 4715.54i −0.211398 + 0.372676i
\(544\) −6039.70 + 5067.91i −0.476011 + 0.399421i
\(545\) 3625.63 + 20562.0i 0.284963 + 1.61611i
\(546\) −1252.26 1034.63i −0.0981536 0.0810953i
\(547\) −11583.9 9720.02i −0.905467 0.759777i 0.0657839 0.997834i \(-0.479045\pi\)
−0.971251 + 0.238057i \(0.923490\pi\)
\(548\) 5075.87 8791.66i 0.395676 0.685331i
\(549\) −1244.83 1012.64i −0.0967728 0.0787225i
\(550\) 2420.99 + 4193.27i 0.187693 + 0.325094i
\(551\) 2972.88 16860.0i 0.229853 1.30356i
\(552\) 694.163 + 3768.78i 0.0535245 + 0.290598i
\(553\) 3035.52 + 1104.84i 0.233424 + 0.0849593i
\(554\) 3097.01 + 1127.22i 0.237508 + 0.0864457i
\(555\) 11428.4 9738.80i 0.874070 0.744845i
\(556\) −1728.35 + 9801.98i −0.131832 + 0.747655i
\(557\) −13032.6 22573.2i −0.991402 1.71716i −0.609024 0.793152i \(-0.708439\pi\)
−0.382378 0.924006i \(-0.624895\pi\)
\(558\) −2836.10 + 5089.69i −0.215164 + 0.386136i
\(559\) 1509.30 2614.19i 0.114198 0.197797i
\(560\) −10837.8 9094.01i −0.817824 0.686236i
\(561\) 9484.59 3534.11i 0.713796 0.265972i
\(562\) 1180.16 + 6693.02i 0.0885802 + 0.502363i
\(563\) −6443.37 + 5406.63i −0.482337 + 0.404728i −0.851270 0.524727i \(-0.824167\pi\)
0.368934 + 0.929456i \(0.379723\pi\)
\(564\) 3927.13 29.8994i 0.293195 0.00223225i
\(565\) 15532.1 5653.24i 1.15653 0.420944i
\(566\) 5610.27 0.416638
\(567\) −13477.3 10626.6i −0.998222 0.787080i
\(568\) 4079.68 0.301372
\(569\) 2859.32 1040.71i 0.210666 0.0766762i −0.234532 0.972109i \(-0.575356\pi\)
0.445198 + 0.895432i \(0.353133\pi\)
\(570\) −11352.4 + 86.4322i −0.834213 + 0.00635131i
\(571\) 15411.5 12931.8i 1.12951 0.947776i 0.130469 0.991452i \(-0.458352\pi\)
0.999046 + 0.0436768i \(0.0139072\pi\)
\(572\) −622.279 3529.12i −0.0454874 0.257972i
\(573\) −1775.15 + 661.450i −0.129421 + 0.0482242i
\(574\) −838.835 703.866i −0.0609970 0.0511826i
\(575\) −2677.62 + 4637.77i −0.194199 + 0.336363i
\(576\) 1917.23 + 3206.95i 0.138688 + 0.231984i
\(577\) −1827.40 3165.16i −0.131847 0.228366i 0.792541 0.609818i \(-0.208757\pi\)
−0.924389 + 0.381452i \(0.875424\pi\)
\(578\) −480.041 + 2722.45i −0.0345451 + 0.195915i
\(579\) −3241.50 + 2762.26i −0.232663 + 0.198266i
\(580\) 12671.5 + 4612.06i 0.907167 + 0.330182i
\(581\) −24338.7 8858.56i −1.73793 0.632556i
\(582\) −780.765 4238.96i −0.0556078 0.301908i
\(583\) −82.9105 + 470.209i −0.00588988 + 0.0334032i
\(584\) −2912.62 5044.81i −0.206379 0.357458i
\(585\) −839.133 + 5222.79i −0.0593058 + 0.369121i
\(586\) 4503.36 7800.05i 0.317461 0.549859i
\(587\) 11835.8 + 9931.44i 0.832226 + 0.698321i 0.955801 0.294014i \(-0.0949914\pi\)
−0.123575 + 0.992335i \(0.539436\pi\)
\(588\) 5844.30 + 4828.60i 0.409889 + 0.338654i
\(589\) 4847.47 + 27491.4i 0.339111 + 1.92320i
\(590\) 8986.49 7540.56i 0.627064 0.526169i
\(591\) −5560.18 + 9802.12i −0.386997 + 0.682242i
\(592\) 6849.78 2493.12i 0.475548 0.173085i
\(593\) 11806.2 0.817573 0.408787 0.912630i \(-0.365952\pi\)
0.408787 + 0.912630i \(0.365952\pi\)
\(594\) 1176.52 + 5883.29i 0.0812680 + 0.406388i
\(595\) 17313.9 1.19294
\(596\) 17516.9 6375.61i 1.20389 0.438180i
\(597\) −10667.5 18156.0i −0.731311 1.24469i
\(598\) −481.112 + 403.701i −0.0328999 + 0.0276063i
\(599\) 1878.61 + 10654.1i 0.128143 + 0.726736i 0.979391 + 0.201972i \(0.0647351\pi\)
−0.851248 + 0.524763i \(0.824154\pi\)
\(600\) 1524.13 9045.95i 0.103704 0.615499i
\(601\) −3054.52 2563.05i −0.207315 0.173958i 0.533218 0.845978i \(-0.320983\pi\)
−0.740533 + 0.672020i \(0.765427\pi\)
\(602\) 2928.33 5072.02i 0.198256 0.343389i
\(603\) −7881.91 2733.60i −0.532299 0.184612i
\(604\) −3556.12 6159.38i −0.239564 0.414937i
\(605\) 912.006 5172.24i 0.0612865 0.347573i
\(606\) 4329.26 + 1538.50i 0.290205 + 0.103131i
\(607\) 5912.85 + 2152.10i 0.395379 + 0.143906i 0.532056 0.846709i \(-0.321420\pi\)
−0.136676 + 0.990616i \(0.543642\pi\)
\(608\) −21041.0 7658.31i −1.40350 0.510831i
\(609\) −14583.4 5182.55i −0.970363 0.344840i
\(610\) −166.631 + 945.013i −0.0110602 + 0.0627254i
\(611\) 694.622 + 1203.12i 0.0459925 + 0.0796613i
\(612\) −8393.68 2911.10i −0.554403 0.192278i
\(613\) −3112.72 + 5391.39i −0.205093 + 0.355231i −0.950162 0.311756i \(-0.899083\pi\)
0.745070 + 0.666987i \(0.232416\pi\)
\(614\) 2585.52 + 2169.51i 0.169940 + 0.142597i
\(615\) −592.461 + 3516.35i −0.0388460 + 0.230558i
\(616\) −2605.99 14779.3i −0.170452 0.966680i
\(617\) 21021.0 17638.7i 1.37159 1.15090i 0.399386 0.916783i \(-0.369223\pi\)
0.972208 0.234120i \(-0.0752210\pi\)
\(618\) 4655.10 + 7922.94i 0.303002 + 0.515708i
\(619\) −11484.7 + 4180.09i −0.745733 + 0.271425i −0.686809 0.726838i \(-0.740989\pi\)
−0.0589242 + 0.998262i \(0.518767\pi\)
\(620\) −21987.8 −1.42428
\(621\) −4984.55 + 4380.37i −0.322099 + 0.283057i
\(622\) −374.128 −0.0241176
\(623\) 31683.2 11531.8i 2.03750 0.741589i
\(624\) −1267.05 + 2233.69i −0.0812859 + 0.143300i
\(625\) −12990.9 + 10900.7i −0.831420 + 0.697644i
\(626\) −1158.28 6568.95i −0.0739525 0.419406i
\(627\) 22160.4 + 18309.1i 1.41148 + 1.16618i
\(628\) 5180.74 + 4347.16i 0.329194 + 0.276227i
\(629\) −4460.34 + 7725.54i −0.282743 + 0.489726i
\(630\) −1628.07 + 10133.2i −0.102959 + 0.640818i
\(631\) 5283.88 + 9151.94i 0.333356 + 0.577390i 0.983168 0.182705i \(-0.0584855\pi\)
−0.649811 + 0.760095i \(0.725152\pi\)
\(632\) −371.513 + 2106.96i −0.0233829 + 0.132611i
\(633\) 53.2096 + 288.888i 0.00334106 + 0.0181394i
\(634\) −8652.27 3149.17i −0.541996 0.197271i
\(635\) −11319.3 4119.89i −0.707391 0.257469i
\(636\) 318.980 271.821i 0.0198874 0.0169472i
\(637\) −465.679 + 2640.99i −0.0289652 + 0.164270i
\(638\) 2705.22 + 4685.58i 0.167869 + 0.290758i
\(639\) 3624.92 + 6063.41i 0.224412 + 0.375376i
\(640\) 11332.9 19629.1i 0.699954 1.21236i
\(641\) −13412.3 11254.3i −0.826452 0.693475i 0.128022 0.991771i \(-0.459137\pi\)
−0.954473 + 0.298296i \(0.903582\pi\)
\(642\) −5374.14 + 2002.49i −0.330374 + 0.123103i
\(643\) −2166.26 12285.5i −0.132860 0.753487i −0.976326 0.216304i \(-0.930600\pi\)
0.843466 0.537183i \(-0.180511\pi\)
\(644\) 5890.72 4942.90i 0.360446 0.302450i
\(645\) −19071.6 + 145.202i −1.16425 + 0.00886407i
\(646\) 6338.09 2306.88i 0.386020 0.140500i
\(647\) −13857.5 −0.842029 −0.421015 0.907054i \(-0.638326\pi\)
−0.421015 + 0.907054i \(0.638326\pi\)
\(648\) 5381.11 10012.6i 0.326219 0.606993i
\(649\) −29703.3 −1.79654
\(650\) 1412.75 514.199i 0.0852502 0.0310285i
\(651\) 25235.4 192.131i 1.51928 0.0115671i
\(652\) 15291.6 12831.2i 0.918504 0.770716i
\(653\) 1267.79 + 7190.01i 0.0759763 + 0.430883i 0.998941 + 0.0459996i \(0.0146473\pi\)
−0.922965 + 0.384884i \(0.874242\pi\)
\(654\) 6890.27 2567.43i 0.411974 0.153508i
\(655\) 30388.4 + 25498.9i 1.81278 + 1.52111i
\(656\) −865.574 + 1499.22i −0.0515167 + 0.0892296i
\(657\) 4909.88 8811.34i 0.291557 0.523231i
\(658\) 1347.70 + 2334.28i 0.0798460 + 0.138297i
\(659\) −3817.86 + 21652.1i −0.225679 + 1.27989i 0.635703 + 0.771934i \(0.280710\pi\)
−0.861382 + 0.507957i \(0.830401\pi\)
\(660\) −17233.2 + 14685.4i −1.01636 + 0.866101i
\(661\) −23240.8 8458.96i −1.36757 0.497754i −0.449183 0.893440i \(-0.648285\pi\)
−0.918386 + 0.395686i \(0.870507\pi\)
\(662\) −5477.70 1993.72i −0.321596 0.117052i
\(663\) −569.277 3090.74i −0.0333467 0.181048i
\(664\) 2978.79 16893.5i 0.174095 0.987344i
\(665\) 24585.8 + 42583.9i 1.43368 + 2.48321i
\(666\) −4102.05 3336.92i −0.238665 0.194149i
\(667\) −2991.98 + 5182.26i −0.173688 + 0.300837i
\(668\) −6052.68 5078.80i −0.350577 0.294169i
\(669\) −1479.11 1222.06i −0.0854796 0.0706240i
\(670\) 866.280 + 4912.92i 0.0499512 + 0.283287i
\(671\) 1861.27 1561.79i 0.107084 0.0898542i
\(672\) −9987.38 + 17606.9i −0.573321 + 1.01071i
\(673\) −5162.27 + 1878.91i −0.295678 + 0.107618i −0.485600 0.874181i \(-0.661399\pi\)
0.189922 + 0.981799i \(0.439176\pi\)
\(674\) −307.953 −0.0175992
\(675\) 14798.8 5772.37i 0.843859 0.329153i
\(676\) 14059.2 0.799908
\(677\) −21448.3 + 7806.53i −1.21761 + 0.443175i −0.869338 0.494217i \(-0.835455\pi\)
−0.348275 + 0.937392i \(0.613232\pi\)
\(678\) −2948.82 5018.86i −0.167033 0.284290i
\(679\) −14301.2 + 12000.1i −0.808289 + 0.678235i
\(680\) 1991.24 + 11292.9i 0.112295 + 0.636856i
\(681\) 1858.48 11030.4i 0.104577 0.620683i
\(682\) −6758.10 5670.72i −0.379444 0.318392i
\(683\) −8593.28 + 14884.0i −0.481424 + 0.833851i −0.999773 0.0213186i \(-0.993214\pi\)
0.518349 + 0.855169i \(0.326547\pi\)
\(684\) −4759.16 24778.2i −0.266040 1.38511i
\(685\) −11344.7 19649.6i −0.632787 1.09602i
\(686\) 563.359 3194.97i 0.0313544 0.177820i
\(687\) −19655.4 6984.97i −1.09156 0.387909i
\(688\) −8700.57 3166.75i −0.482131 0.175481i
\(689\) 139.310 + 50.7047i 0.00770288 + 0.00280362i
\(690\) 3739.03 + 1328.75i 0.206293 + 0.0733109i
\(691\) −4152.63 + 23550.7i −0.228616 + 1.29654i 0.627035 + 0.778991i \(0.284268\pi\)
−0.855651 + 0.517553i \(0.826843\pi\)
\(692\) 2514.99 + 4356.08i 0.138158 + 0.239297i
\(693\) 19650.2 17005.0i 1.07713 0.932130i
\(694\) −157.522 + 272.837i −0.00861595 + 0.0149233i
\(695\) 17041.2 + 14299.2i 0.930083 + 0.780432i
\(696\) 1703.07 10108.0i 0.0927507 0.550491i
\(697\) −367.885 2086.38i −0.0199923 0.113382i
\(698\) −6419.23 + 5386.37i −0.348097 + 0.292088i
\(699\) 4638.34 + 7894.42i 0.250984 + 0.427174i
\(700\) −17297.7 + 6295.84i −0.933987 + 0.339943i
\(701\) 9600.52 0.517270 0.258635 0.965975i \(-0.416727\pi\)
0.258635 + 0.965975i \(0.416727\pi\)
\(702\) 1862.42 42.5455i 0.100132 0.00228743i
\(703\) −25334.8 −1.35920
\(704\) −5316.11 + 1934.91i −0.284600 + 0.103586i
\(705\) 4330.75 7634.73i 0.231355 0.407859i
\(706\) 1562.54 1311.13i 0.0832959 0.0698936i
\(707\) −3455.59 19597.6i −0.183820 1.04250i
\(708\) 20099.1 + 16606.1i 1.06691 + 0.881489i
\(709\) 6827.53 + 5728.98i 0.361655 + 0.303464i 0.805450 0.592664i \(-0.201924\pi\)
−0.443795 + 0.896128i \(0.646368\pi\)
\(710\) 2112.20 3658.43i 0.111647 0.193378i
\(711\) −3461.56 + 1319.93i −0.182586 + 0.0696222i
\(712\) 11165.3 + 19338.9i 0.587694 + 1.01792i
\(713\) 1694.33 9609.00i 0.0889944 0.504713i
\(714\) −1104.50 5996.62i −0.0578922 0.314311i
\(715\) −7526.33 2739.36i −0.393663 0.143282i
\(716\) 6821.76 + 2482.92i 0.356063 + 0.129596i
\(717\) −12623.0 + 10756.7i −0.657480 + 0.560276i
\(718\) −553.746 + 3140.45i −0.0287822 + 0.163232i
\(719\) −9627.06 16674.6i −0.499345 0.864890i 0.500655 0.865647i \(-0.333092\pi\)
−1.00000 0.000756651i \(0.999759\pi\)
\(720\) 16223.4 247.049i 0.839736 0.0127875i
\(721\) 19900.6 34468.8i 1.02793 1.78042i
\(722\) 9177.49 + 7700.83i 0.473062 + 0.396946i
\(723\) −10965.6 + 4085.98i −0.564062 + 0.210179i
\(724\) 1251.14 + 7095.57i 0.0642241 + 0.364233i
\(725\) 10973.1 9207.55i 0.562113 0.471669i
\(726\) −1849.57 + 14.0817i −0.0945508 + 0.000719866i
\(727\) 23401.7 8517.51i 1.19384 0.434521i 0.332768 0.943009i \(-0.392017\pi\)
0.861069 + 0.508488i \(0.169795\pi\)
\(728\) −4659.71 −0.237226
\(729\) 19662.5 898.813i 0.998957 0.0456645i
\(730\) −6031.88 −0.305822
\(731\) 10647.7 3875.44i 0.538740 0.196085i
\(732\) −2132.59 + 16.2366i −0.107682 + 0.000819838i
\(733\) −22459.9 + 18846.1i −1.13175 + 0.949655i −0.999138 0.0415124i \(-0.986782\pi\)
−0.132617 + 0.991167i \(0.542338\pi\)
\(734\) 223.039 + 1264.92i 0.0112160 + 0.0636090i
\(735\) 15877.3 5916.13i 0.796792 0.296898i
\(736\) 5995.38 + 5030.72i 0.300262 + 0.251950i
\(737\) 6315.77 10939.2i 0.315664 0.546746i
\(738\) 1255.67 19.1213i 0.0626313 0.000953746i
\(739\) −10452.2 18103.8i −0.520287 0.901163i −0.999722 0.0235855i \(-0.992492\pi\)
0.479435 0.877577i \(-0.340842\pi\)
\(740\) 3465.17 19652.0i 0.172138 0.976244i
\(741\) 6793.36 5789.01i 0.336789 0.286997i
\(742\) 270.287 + 98.3765i 0.0133727 + 0.00486727i
\(743\) −14435.9 5254.24i −0.712788 0.259434i −0.0399271 0.999203i \(-0.512713\pi\)
−0.672861 + 0.739769i \(0.734935\pi\)
\(744\) 3027.59 + 16437.5i 0.149189 + 0.809985i
\(745\) 7234.74 41030.3i 0.355786 2.01776i
\(746\) −40.2030 69.6336i −0.00197310 0.00341752i
\(747\) 27754.7 10583.2i 1.35943 0.518365i
\(748\) 6725.85 11649.5i 0.328772 0.569450i
\(749\) 19028.7 + 15966.9i 0.928293 + 0.778931i
\(750\) 761.717 + 629.337i 0.0370853 + 0.0306402i
\(751\) 4371.61 + 24792.6i 0.212413 + 1.20465i 0.885340 + 0.464945i \(0.153926\pi\)
−0.672927 + 0.739709i \(0.734963\pi\)
\(752\) 3264.28 2739.06i 0.158293 0.132823i
\(753\) 14438.2 25453.4i 0.698750 1.23184i
\(754\) 1578.61 574.568i 0.0762462 0.0277513i
\(755\) −15896.1 −0.766247
\(756\) −22803.5 + 520.926i −1.09703 + 0.0250607i
\(757\) 8319.25 0.399430 0.199715 0.979854i \(-0.435998\pi\)
0.199715 + 0.979854i \(0.435998\pi\)
\(758\) −4461.51 + 1623.86i −0.213785 + 0.0778115i
\(759\) −5089.78 8662.77i −0.243409 0.414280i
\(760\) −24947.5 + 20933.4i −1.19071 + 0.999125i
\(761\) 3537.36 + 20061.4i 0.168501