Properties

Label 45.4.e.b.16.3
Level $45$
Weight $4$
Character 45.16
Analytic conductor $2.655$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 45.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.65508595026\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: 6.0.15759792.1
Defining polynomial: \( x^{6} - 3x^{5} + 16x^{4} - 27x^{3} + 52x^{2} - 39x + 9 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 16.3
Root \(0.500000 + 2.88506i\) of defining polynomial
Character \(\chi\) \(=\) 45.16
Dual form 45.4.e.b.31.3

$q$-expansion

\(f(q)\) \(=\) \(q+(2.28679 - 3.96084i) q^{2} +(3.36330 + 3.96084i) q^{3} +(-6.45882 - 11.1870i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(23.3794 - 4.26387i) q^{6} +(10.0573 - 17.4197i) q^{7} -22.4912 q^{8} +(-4.37646 + 26.6429i) q^{9} +O(q^{10})\) \(q+(2.28679 - 3.96084i) q^{2} +(3.36330 + 3.96084i) q^{3} +(-6.45882 - 11.1870i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(23.3794 - 4.26387i) q^{6} +(10.0573 - 17.4197i) q^{7} -22.4912 q^{8} +(-4.37646 + 26.6429i) q^{9} -22.8679 q^{10} +(-33.1708 + 57.4535i) q^{11} +(22.5870 - 63.2076i) q^{12} +(23.4003 + 40.5305i) q^{13} +(-45.9977 - 79.6704i) q^{14} +(8.74268 - 24.4656i) q^{15} +(0.237854 - 0.411975i) q^{16} -47.6233 q^{17} +(95.5203 + 78.2613i) q^{18} -9.95276 q^{19} +(-32.2941 + 55.9350i) q^{20} +(102.822 - 18.7524i) q^{21} +(151.709 + 262.768i) q^{22} +(-4.79602 - 8.30695i) q^{23} +(-75.6447 - 89.0841i) q^{24} +(-12.5000 + 21.6506i) q^{25} +214.046 q^{26} +(-120.248 + 72.2737i) q^{27} -259.832 q^{28} +(89.3675 - 154.789i) q^{29} +(-76.9116 - 90.5760i) q^{30} +(-77.0186 - 133.400i) q^{31} +(-91.0527 - 157.708i) q^{32} +(-339.127 + 61.8491i) q^{33} +(-108.905 + 188.628i) q^{34} -100.573 q^{35} +(326.322 - 123.123i) q^{36} +248.864 q^{37} +(-22.7599 + 39.4213i) q^{38} +(-81.8326 + 229.001i) q^{39} +(56.2280 + 97.3898i) q^{40} +(-124.832 - 216.216i) q^{41} +(160.857 - 450.145i) q^{42} +(106.122 - 183.809i) q^{43} +856.976 q^{44} +(126.308 - 47.6567i) q^{45} -43.8700 q^{46} +(-237.847 + 411.963i) q^{47} +(2.43174 - 0.443494i) q^{48} +(-30.7973 - 53.3425i) q^{49} +(57.1698 + 99.0209i) q^{50} +(-160.171 - 188.628i) q^{51} +(302.277 - 523.559i) q^{52} -546.314 q^{53} +(11.2831 + 641.556i) q^{54} +331.708 q^{55} +(-226.200 + 391.790i) q^{56} +(-33.4741 - 39.4213i) q^{57} +(-408.729 - 707.940i) q^{58} +(209.648 + 363.121i) q^{59} +(-330.164 + 60.2145i) q^{60} +(272.605 - 472.165i) q^{61} -704.502 q^{62} +(420.097 + 344.192i) q^{63} -829.068 q^{64} +(117.002 - 202.653i) q^{65} +(-530.538 + 1484.66i) q^{66} +(223.938 + 387.872i) q^{67} +(307.590 + 532.762i) q^{68} +(16.7720 - 46.9350i) q^{69} +(-229.989 + 398.352i) q^{70} +409.542 q^{71} +(98.4319 - 599.232i) q^{72} -358.548 q^{73} +(569.100 - 985.710i) q^{74} +(-127.796 + 23.3071i) q^{75} +(64.2831 + 111.342i) q^{76} +(667.215 + 1155.65i) q^{77} +(719.902 + 847.803i) q^{78} +(325.776 - 564.260i) q^{79} -2.37854 q^{80} +(-690.693 - 233.204i) q^{81} -1141.86 q^{82} +(406.571 - 704.202i) q^{83} +(-873.893 - 1029.15i) q^{84} +(119.058 + 206.215i) q^{85} +(-485.359 - 840.667i) q^{86} +(913.663 - 166.631i) q^{87} +(746.051 - 1292.20i) q^{88} -201.000 q^{89} +(100.080 - 609.268i) q^{90} +941.373 q^{91} +(-61.9532 + 107.306i) q^{92} +(269.340 - 753.723i) q^{93} +(1087.81 + 1884.14i) q^{94} +(24.8819 + 43.0967i) q^{95} +(318.418 - 891.064i) q^{96} +(-126.074 + 218.367i) q^{97} -281.708 q^{98} +(-1385.56 - 1135.21i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q + q^{2} + 9 q^{3} - 11 q^{4} - 15 q^{5} + 84 q^{6} + 43 q^{7} - 54 q^{8} + 57 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q + q^{2} + 9 q^{3} - 11 q^{4} - 15 q^{5} + 84 q^{6} + 43 q^{7} - 54 q^{8} + 57 q^{9} - 10 q^{10} - 14 q^{11} + 75 q^{12} - 40 q^{13} + 27 q^{14} - 15 q^{15} + 13 q^{16} - 332 q^{17} + 3 q^{18} - 328 q^{19} - 55 q^{20} - 144 q^{21} + 376 q^{22} - 171 q^{23} - 63 q^{24} - 75 q^{25} + 868 q^{26} + 162 q^{27} - 1034 q^{28} + 335 q^{29} - 315 q^{30} + 352 q^{31} + 77 q^{32} - 708 q^{33} + 52 q^{34} - 430 q^{35} + 1086 q^{36} + 804 q^{37} + 178 q^{38} - 390 q^{39} + 135 q^{40} - 187 q^{41} + 513 q^{42} + 602 q^{43} + 1964 q^{44} + 330 q^{45} - 402 q^{46} - 665 q^{47} - 1074 q^{48} - 430 q^{49} + 25 q^{50} - 180 q^{51} + 456 q^{52} - 1460 q^{53} + 639 q^{54} + 140 q^{55} - 705 q^{56} - 486 q^{57} - 217 q^{58} + 298 q^{59} - 150 q^{60} + 1439 q^{61} - 3228 q^{62} + 2205 q^{63} - 3138 q^{64} - 200 q^{65} - 966 q^{66} + 1849 q^{67} + 710 q^{68} - 873 q^{69} + 135 q^{70} + 140 q^{71} + 261 q^{72} - 736 q^{73} + 320 q^{74} - 150 q^{75} - 204 q^{76} + 948 q^{77} - 432 q^{78} + 382 q^{79} - 130 q^{80} - 1251 q^{81} - 1150 q^{82} + 831 q^{83} - 909 q^{84} + 830 q^{85} - 1580 q^{86} + 258 q^{87} + 1428 q^{88} + 3438 q^{89} + 375 q^{90} - 1420 q^{91} + 1623 q^{92} + 2178 q^{93} + 2077 q^{94} + 820 q^{95} + 1155 q^{96} + 282 q^{97} + 4328 q^{98} - 762 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.28679 3.96084i 0.808502 1.40037i −0.105398 0.994430i \(-0.533612\pi\)
0.913901 0.405937i \(-0.133055\pi\)
\(3\) 3.36330 + 3.96084i 0.647267 + 0.762263i
\(4\) −6.45882 11.1870i −0.807352 1.39838i
\(5\) −2.50000 4.33013i −0.223607 0.387298i
\(6\) 23.3794 4.26387i 1.59077 0.290120i
\(7\) 10.0573 17.4197i 0.543041 0.940575i −0.455686 0.890141i \(-0.650606\pi\)
0.998727 0.0504348i \(-0.0160607\pi\)
\(8\) −22.4912 −0.993981
\(9\) −4.37646 + 26.6429i −0.162091 + 0.986776i
\(10\) −22.8679 −0.723147
\(11\) −33.1708 + 57.4535i −0.909215 + 1.57481i −0.0940582 + 0.995567i \(0.529984\pi\)
−0.815157 + 0.579240i \(0.803349\pi\)
\(12\) 22.5870 63.2076i 0.543358 1.52054i
\(13\) 23.4003 + 40.5305i 0.499237 + 0.864703i 1.00000 0.000881222i \(-0.000280502\pi\)
−0.500763 + 0.865584i \(0.666947\pi\)
\(14\) −45.9977 79.6704i −0.878101 1.52092i
\(15\) 8.74268 24.4656i 0.150490 0.421133i
\(16\) 0.237854 0.411975i 0.00371647 0.00643711i
\(17\) −47.6233 −0.679432 −0.339716 0.940528i \(-0.610331\pi\)
−0.339716 + 0.940528i \(0.610331\pi\)
\(18\) 95.5203 + 78.2613i 1.25080 + 1.02480i
\(19\) −9.95276 −0.120175 −0.0600874 0.998193i \(-0.519138\pi\)
−0.0600874 + 0.998193i \(0.519138\pi\)
\(20\) −32.2941 + 55.9350i −0.361059 + 0.625373i
\(21\) 102.822 18.7524i 1.06846 0.194863i
\(22\) 151.709 + 262.768i 1.47021 + 2.54647i
\(23\) −4.79602 8.30695i −0.0434800 0.0753095i 0.843466 0.537182i \(-0.180511\pi\)
−0.886946 + 0.461872i \(0.847178\pi\)
\(24\) −75.6447 89.0841i −0.643371 0.757675i
\(25\) −12.5000 + 21.6506i −0.100000 + 0.173205i
\(26\) 214.046 1.61454
\(27\) −120.248 + 72.2737i −0.857099 + 0.515151i
\(28\) −259.832 −1.75370
\(29\) 89.3675 154.789i 0.572246 0.991158i −0.424089 0.905620i \(-0.639406\pi\)
0.996335 0.0855380i \(-0.0272609\pi\)
\(30\) −76.9116 90.5760i −0.468069 0.551228i
\(31\) −77.0186 133.400i −0.446224 0.772883i 0.551912 0.833902i \(-0.313898\pi\)
−0.998137 + 0.0610190i \(0.980565\pi\)
\(32\) −91.0527 157.708i −0.503000 0.871222i
\(33\) −339.127 + 61.8491i −1.78892 + 0.326259i
\(34\) −108.905 + 188.628i −0.549323 + 0.951455i
\(35\) −100.573 −0.485711
\(36\) 326.322 123.123i 1.51075 0.570012i
\(37\) 248.864 1.10576 0.552878 0.833262i \(-0.313529\pi\)
0.552878 + 0.833262i \(0.313529\pi\)
\(38\) −22.7599 + 39.4213i −0.0971616 + 0.168289i
\(39\) −81.8326 + 229.001i −0.335992 + 0.940244i
\(40\) 56.2280 + 97.3898i 0.222261 + 0.384967i
\(41\) −124.832 216.216i −0.475500 0.823590i 0.524106 0.851653i \(-0.324400\pi\)
−0.999606 + 0.0280628i \(0.991066\pi\)
\(42\) 160.857 450.145i 0.590972 1.65378i
\(43\) 106.122 183.809i 0.376361 0.651876i −0.614169 0.789175i \(-0.710509\pi\)
0.990530 + 0.137299i \(0.0438420\pi\)
\(44\) 856.976 2.93623
\(45\) 126.308 47.6567i 0.418421 0.157872i
\(46\) −43.8700 −0.140615
\(47\) −237.847 + 411.963i −0.738160 + 1.27853i 0.215163 + 0.976578i \(0.430972\pi\)
−0.953323 + 0.301953i \(0.902362\pi\)
\(48\) 2.43174 0.443494i 0.00731232 0.00133360i
\(49\) −30.7973 53.3425i −0.0897880 0.155517i
\(50\) 57.1698 + 99.0209i 0.161700 + 0.280073i
\(51\) −160.171 188.628i −0.439774 0.517906i
\(52\) 302.277 523.559i 0.806120 1.39624i
\(53\) −546.314 −1.41589 −0.707944 0.706269i \(-0.750377\pi\)
−0.707944 + 0.706269i \(0.750377\pi\)
\(54\) 11.2831 + 641.556i 0.0284341 + 1.61675i
\(55\) 331.708 0.813227
\(56\) −226.200 + 391.790i −0.539773 + 0.934914i
\(57\) −33.4741 39.4213i −0.0777851 0.0916048i
\(58\) −408.729 707.940i −0.925324 1.60271i
\(59\) 209.648 + 363.121i 0.462608 + 0.801261i 0.999090 0.0426512i \(-0.0135804\pi\)
−0.536482 + 0.843912i \(0.680247\pi\)
\(60\) −330.164 + 60.2145i −0.710400 + 0.129561i
\(61\) 272.605 472.165i 0.572188 0.991059i −0.424153 0.905591i \(-0.639428\pi\)
0.996341 0.0854682i \(-0.0272386\pi\)
\(62\) −704.502 −1.44309
\(63\) 420.097 + 344.192i 0.840115 + 0.688319i
\(64\) −829.068 −1.61927
\(65\) 117.002 202.653i 0.223265 0.386707i
\(66\) −530.538 + 1484.66i −0.989466 + 2.76893i
\(67\) 223.938 + 387.872i 0.408335 + 0.707256i 0.994703 0.102788i \(-0.0327764\pi\)
−0.586369 + 0.810044i \(0.699443\pi\)
\(68\) 307.590 + 532.762i 0.548541 + 0.950102i
\(69\) 16.7720 46.9350i 0.0292625 0.0818885i
\(70\) −229.989 + 398.352i −0.392699 + 0.680174i
\(71\) 409.542 0.684559 0.342279 0.939598i \(-0.388801\pi\)
0.342279 + 0.939598i \(0.388801\pi\)
\(72\) 98.4319 599.232i 0.161115 0.980836i
\(73\) −358.548 −0.574861 −0.287431 0.957801i \(-0.592801\pi\)
−0.287431 + 0.957801i \(0.592801\pi\)
\(74\) 569.100 985.710i 0.894007 1.54847i
\(75\) −127.796 + 23.3071i −0.196755 + 0.0358836i
\(76\) 64.2831 + 111.342i 0.0970234 + 0.168049i
\(77\) 667.215 + 1155.65i 0.987483 + 1.71037i
\(78\) 719.902 + 847.803i 1.04504 + 1.23070i
\(79\) 325.776 564.260i 0.463958 0.803598i −0.535196 0.844728i \(-0.679762\pi\)
0.999154 + 0.0411297i \(0.0130957\pi\)
\(80\) −2.37854 −0.00332411
\(81\) −690.693 233.204i −0.947453 0.319895i
\(82\) −1141.86 −1.53777
\(83\) 406.571 704.202i 0.537675 0.931280i −0.461354 0.887216i \(-0.652636\pi\)
0.999029 0.0440636i \(-0.0140304\pi\)
\(84\) −873.893 1029.15i −1.13511 1.33678i
\(85\) 119.058 + 206.215i 0.151926 + 0.263143i
\(86\) −485.359 840.667i −0.608577 1.05409i
\(87\) 913.663 166.631i 1.12592 0.205342i
\(88\) 746.051 1292.20i 0.903743 1.56533i
\(89\) −201.000 −0.239393 −0.119696 0.992811i \(-0.538192\pi\)
−0.119696 + 0.992811i \(0.538192\pi\)
\(90\) 100.080 609.268i 0.117216 0.713584i
\(91\) 941.373 1.08442
\(92\) −61.9532 + 107.306i −0.0702073 + 0.121603i
\(93\) 269.340 753.723i 0.300314 0.840402i
\(94\) 1087.81 + 1884.14i 1.19361 + 2.06739i
\(95\) 24.8819 + 43.0967i 0.0268719 + 0.0465435i
\(96\) 318.418 891.064i 0.338525 0.947331i
\(97\) −126.074 + 218.367i −0.131968 + 0.228576i −0.924435 0.381339i \(-0.875463\pi\)
0.792467 + 0.609915i \(0.208796\pi\)
\(98\) −281.708 −0.290375
\(99\) −1385.56 1135.21i −1.40661 1.15245i
\(100\) 322.941 0.322941
\(101\) −21.8013 + 37.7610i −0.0214783 + 0.0372016i −0.876565 0.481284i \(-0.840171\pi\)
0.855086 + 0.518485i \(0.173504\pi\)
\(102\) −1113.40 + 203.060i −1.08082 + 0.197117i
\(103\) 720.176 + 1247.38i 0.688942 + 1.19328i 0.972180 + 0.234233i \(0.0752579\pi\)
−0.283238 + 0.959050i \(0.591409\pi\)
\(104\) −526.301 911.581i −0.496232 0.859498i
\(105\) −338.256 398.352i −0.314385 0.370240i
\(106\) −1249.31 + 2163.86i −1.14475 + 1.98276i
\(107\) 355.755 0.321422 0.160711 0.987002i \(-0.448621\pi\)
0.160711 + 0.987002i \(0.448621\pi\)
\(108\) 1585.18 + 878.409i 1.41236 + 0.782638i
\(109\) −1522.51 −1.33789 −0.668946 0.743311i \(-0.733254\pi\)
−0.668946 + 0.743311i \(0.733254\pi\)
\(110\) 758.546 1313.84i 0.657496 1.13882i
\(111\) 837.004 + 985.710i 0.715720 + 0.842878i
\(112\) −4.78432 8.28669i −0.00403639 0.00699124i
\(113\) 406.499 + 704.077i 0.338409 + 0.586142i 0.984134 0.177429i \(-0.0567779\pi\)
−0.645725 + 0.763570i \(0.723445\pi\)
\(114\) −232.689 + 42.4373i −0.191170 + 0.0348650i
\(115\) −23.9801 + 41.5347i −0.0194448 + 0.0336794i
\(116\) −2308.83 −1.84802
\(117\) −1182.26 + 446.073i −0.934190 + 0.352474i
\(118\) 1917.69 1.49608
\(119\) −478.960 + 829.584i −0.368960 + 0.639057i
\(120\) −196.634 + 550.261i −0.149584 + 0.418598i
\(121\) −1535.10 2658.87i −1.15334 1.99765i
\(122\) −1246.78 2159.49i −0.925231 1.60255i
\(123\) 436.547 1221.64i 0.320017 0.895539i
\(124\) −994.899 + 1723.22i −0.720521 + 1.24798i
\(125\) 125.000 0.0894427
\(126\) 2323.96 876.841i 1.64313 0.619962i
\(127\) −864.662 −0.604144 −0.302072 0.953285i \(-0.597678\pi\)
−0.302072 + 0.953285i \(0.597678\pi\)
\(128\) −1167.48 + 2022.14i −0.806187 + 1.39636i
\(129\) 1084.96 197.872i 0.740507 0.135052i
\(130\) −535.116 926.848i −0.361021 0.625307i
\(131\) 1089.26 + 1886.65i 0.726482 + 1.25830i 0.958361 + 0.285559i \(0.0921792\pi\)
−0.231879 + 0.972745i \(0.574487\pi\)
\(132\) 2882.27 + 3394.34i 1.90052 + 2.23818i
\(133\) −100.098 + 173.374i −0.0652599 + 0.113033i
\(134\) 2048.40 1.32056
\(135\) 613.574 + 340.004i 0.391170 + 0.216762i
\(136\) 1071.11 0.675343
\(137\) 1149.58 1991.13i 0.716900 1.24171i −0.245322 0.969442i \(-0.578894\pi\)
0.962222 0.272266i \(-0.0877730\pi\)
\(138\) −147.548 173.762i −0.0910152 0.107185i
\(139\) 1066.98 + 1848.06i 0.651077 + 1.12770i 0.982862 + 0.184343i \(0.0590157\pi\)
−0.331785 + 0.943355i \(0.607651\pi\)
\(140\) 649.581 + 1125.11i 0.392140 + 0.679206i
\(141\) −2431.67 + 443.481i −1.45236 + 0.264878i
\(142\) 936.536 1622.13i 0.553467 0.958634i
\(143\) −3104.83 −1.81565
\(144\) 9.93528 + 8.14012i 0.00574958 + 0.00471072i
\(145\) −893.675 −0.511832
\(146\) −819.924 + 1420.15i −0.464777 + 0.805017i
\(147\) 107.700 301.390i 0.0604284 0.169103i
\(148\) −1607.37 2784.04i −0.892735 1.54626i
\(149\) −875.309 1516.08i −0.481263 0.833572i 0.518506 0.855074i \(-0.326488\pi\)
−0.999769 + 0.0215024i \(0.993155\pi\)
\(150\) −199.927 + 559.477i −0.108826 + 0.304541i
\(151\) −437.977 + 758.598i −0.236040 + 0.408833i −0.959574 0.281455i \(-0.909183\pi\)
0.723534 + 0.690288i \(0.242516\pi\)
\(152\) 223.850 0.119451
\(153\) 208.421 1268.83i 0.110130 0.670447i
\(154\) 6103.12 3.19353
\(155\) −385.093 + 667.001i −0.199558 + 0.345644i
\(156\) 3090.38 563.615i 1.58608 0.289265i
\(157\) 129.697 + 224.642i 0.0659298 + 0.114194i 0.897106 0.441815i \(-0.145665\pi\)
−0.831176 + 0.556009i \(0.812332\pi\)
\(158\) −1489.96 2580.69i −0.750222 1.29942i
\(159\) −1837.42 2163.86i −0.916457 1.07928i
\(160\) −455.264 + 788.540i −0.224948 + 0.389622i
\(161\) −192.939 −0.0944457
\(162\) −2503.15 + 2202.44i −1.21399 + 1.06815i
\(163\) −1201.80 −0.577498 −0.288749 0.957405i \(-0.593239\pi\)
−0.288749 + 0.957405i \(0.593239\pi\)
\(164\) −1612.54 + 2792.99i −0.767792 + 1.32986i
\(165\) 1115.63 + 1313.84i 0.526375 + 0.619893i
\(166\) −1859.49 3220.72i −0.869422 1.50588i
\(167\) 839.452 + 1453.97i 0.388975 + 0.673724i 0.992312 0.123762i \(-0.0394960\pi\)
−0.603337 + 0.797486i \(0.706163\pi\)
\(168\) −2312.60 + 421.765i −1.06203 + 0.193690i
\(169\) 3.35162 5.80518i 0.00152554 0.00264232i
\(170\) 1089.05 0.491329
\(171\) 43.5578 265.171i 0.0194792 0.118586i
\(172\) −2741.70 −1.21542
\(173\) −465.899 + 806.961i −0.204749 + 0.354636i −0.950053 0.312089i \(-0.898971\pi\)
0.745303 + 0.666725i \(0.232305\pi\)
\(174\) 1429.36 3999.92i 0.622754 1.74272i
\(175\) 251.432 + 435.493i 0.108608 + 0.188115i
\(176\) 15.7796 + 27.3311i 0.00675814 + 0.0117054i
\(177\) −733.155 + 2051.67i −0.311341 + 0.871259i
\(178\) −459.644 + 796.127i −0.193549 + 0.335237i
\(179\) 1023.40 0.427333 0.213667 0.976907i \(-0.431459\pi\)
0.213667 + 0.976907i \(0.431459\pi\)
\(180\) −1348.94 1105.21i −0.558578 0.457652i
\(181\) 2639.93 1.08411 0.542056 0.840342i \(-0.317646\pi\)
0.542056 + 0.840342i \(0.317646\pi\)
\(182\) 2152.72 3728.62i 0.876760 1.51859i
\(183\) 2787.02 508.289i 1.12581 0.205322i
\(184\) 107.868 + 186.833i 0.0432182 + 0.0748562i
\(185\) −622.160 1077.61i −0.247255 0.428258i
\(186\) −2369.45 2790.42i −0.934067 1.10002i
\(187\) 1579.70 2736.13i 0.617750 1.06997i
\(188\) 6144.84 2.38382
\(189\) 49.6230 + 2821.56i 0.0190981 + 1.08591i
\(190\) 227.599 0.0869039
\(191\) 406.640 704.322i 0.154050 0.266822i −0.778663 0.627442i \(-0.784102\pi\)
0.932713 + 0.360621i \(0.117435\pi\)
\(192\) −2788.40 3283.80i −1.04810 1.23431i
\(193\) 407.121 + 705.154i 0.151840 + 0.262995i 0.931904 0.362705i \(-0.118147\pi\)
−0.780064 + 0.625700i \(0.784813\pi\)
\(194\) 576.612 + 998.720i 0.213393 + 0.369608i
\(195\) 1196.18 218.157i 0.439285 0.0801156i
\(196\) −397.828 + 689.059i −0.144981 + 0.251115i
\(197\) 4078.41 1.47500 0.737499 0.675348i \(-0.236006\pi\)
0.737499 + 0.675348i \(0.236006\pi\)
\(198\) −7664.87 + 2891.99i −2.75110 + 1.03800i
\(199\) −1342.49 −0.478224 −0.239112 0.970992i \(-0.576856\pi\)
−0.239112 + 0.970992i \(0.576856\pi\)
\(200\) 281.140 486.949i 0.0993981 0.172163i
\(201\) −783.129 + 2191.51i −0.274814 + 0.769042i
\(202\) 99.7101 + 172.703i 0.0347306 + 0.0601551i
\(203\) −1797.58 3113.51i −0.621506 1.07648i
\(204\) −1075.67 + 3010.15i −0.369175 + 1.03310i
\(205\) −624.161 + 1081.08i −0.212650 + 0.368321i
\(206\) 6587.56 2.22805
\(207\) 242.311 91.4250i 0.0813613 0.0306980i
\(208\) 22.2634 0.00742159
\(209\) 330.141 571.821i 0.109265 0.189252i
\(210\) −2351.33 + 428.829i −0.772652 + 0.140914i
\(211\) 1477.49 + 2559.08i 0.482059 + 0.834950i 0.999788 0.0205943i \(-0.00655583\pi\)
−0.517729 + 0.855545i \(0.673222\pi\)
\(212\) 3528.55 + 6111.62i 1.14312 + 1.97994i
\(213\) 1377.41 + 1622.13i 0.443092 + 0.521814i
\(214\) 813.536 1409.09i 0.259870 0.450108i
\(215\) −1061.22 −0.336627
\(216\) 2704.52 1625.52i 0.851940 0.512050i
\(217\) −3098.39 −0.969273
\(218\) −3481.66 + 6030.42i −1.08169 + 1.87354i
\(219\) −1205.90 1420.15i −0.372089 0.438196i
\(220\) −2142.44 3710.82i −0.656561 1.13720i
\(221\) −1114.40 1930.20i −0.339198 0.587507i
\(222\) 5818.29 1061.12i 1.75900 0.320802i
\(223\) −1753.43 + 3037.03i −0.526539 + 0.911993i 0.472982 + 0.881072i \(0.343177\pi\)
−0.999522 + 0.0309212i \(0.990156\pi\)
\(224\) −3662.97 −1.09260
\(225\) −522.131 427.790i −0.154705 0.126753i
\(226\) 3718.31 1.09442
\(227\) −326.413 + 565.364i −0.0954396 + 0.165306i −0.909792 0.415064i \(-0.863759\pi\)
0.814352 + 0.580371i \(0.197092\pi\)
\(228\) −224.803 + 629.090i −0.0652979 + 0.182730i
\(229\) −2291.78 3969.47i −0.661331 1.14546i −0.980266 0.197682i \(-0.936659\pi\)
0.318935 0.947776i \(-0.396675\pi\)
\(230\) 109.675 + 189.962i 0.0314424 + 0.0544598i
\(231\) −2333.30 + 6529.52i −0.664588 + 1.85979i
\(232\) −2009.98 + 3481.39i −0.568801 + 0.985192i
\(233\) 317.527 0.0892785 0.0446392 0.999003i \(-0.485786\pi\)
0.0446392 + 0.999003i \(0.485786\pi\)
\(234\) −936.765 + 5702.83i −0.261702 + 1.59319i
\(235\) 2378.47 0.660230
\(236\) 2708.16 4690.67i 0.746975 1.29380i
\(237\) 3330.62 607.430i 0.912858 0.166485i
\(238\) 2190.56 + 3794.17i 0.596610 + 1.03336i
\(239\) −928.835 1608.79i −0.251386 0.435414i 0.712521 0.701650i \(-0.247553\pi\)
−0.963908 + 0.266236i \(0.914220\pi\)
\(240\) −7.99974 9.42101i −0.00215159 0.00253385i
\(241\) 1633.47 2829.25i 0.436602 0.756217i −0.560823 0.827936i \(-0.689515\pi\)
0.997425 + 0.0717190i \(0.0228485\pi\)
\(242\) −14041.8 −3.72993
\(243\) −1399.33 3520.06i −0.369411 0.929266i
\(244\) −7042.82 −1.84783
\(245\) −153.986 + 266.712i −0.0401544 + 0.0695495i
\(246\) −3840.41 4522.72i −0.995349 1.17219i
\(247\) −232.898 403.390i −0.0599956 0.103915i
\(248\) 1732.24 + 3000.33i 0.443538 + 0.768231i
\(249\) 4156.65 758.079i 1.05790 0.192937i
\(250\) 285.849 495.105i 0.0723147 0.125253i
\(251\) −5641.37 −1.41865 −0.709323 0.704884i \(-0.750999\pi\)
−0.709323 + 0.704884i \(0.750999\pi\)
\(252\) 1137.15 6922.70i 0.284260 1.73051i
\(253\) 636.351 0.158131
\(254\) −1977.30 + 3424.78i −0.488452 + 0.846024i
\(255\) −416.356 + 1165.13i −0.102248 + 0.286131i
\(256\) 2023.31 + 3504.47i 0.493971 + 0.855584i
\(257\) 586.731 + 1016.25i 0.142410 + 0.246661i 0.928404 0.371574i \(-0.121182\pi\)
−0.785994 + 0.618234i \(0.787848\pi\)
\(258\) 1697.34 4749.84i 0.409580 1.14617i
\(259\) 2502.89 4335.14i 0.600472 1.04005i
\(260\) −3022.77 −0.721016
\(261\) 3732.92 + 3058.44i 0.885295 + 0.725336i
\(262\) 9963.64 2.34945
\(263\) 1448.98 2509.71i 0.339726 0.588423i −0.644655 0.764474i \(-0.722999\pi\)
0.984381 + 0.176051i \(0.0563323\pi\)
\(264\) 7627.38 1391.06i 1.77815 0.324295i
\(265\) 1365.79 + 2365.61i 0.316602 + 0.548371i
\(266\) 457.804 + 792.940i 0.105526 + 0.182776i
\(267\) −676.022 796.127i −0.154951 0.182480i
\(268\) 2892.75 5010.40i 0.659340 1.14201i
\(269\) 2930.13 0.664138 0.332069 0.943255i \(-0.392253\pi\)
0.332069 + 0.943255i \(0.392253\pi\)
\(270\) 2749.81 1652.75i 0.619808 0.372530i
\(271\) −668.881 −0.149932 −0.0749661 0.997186i \(-0.523885\pi\)
−0.0749661 + 0.997186i \(0.523885\pi\)
\(272\) −11.3274 + 19.6196i −0.00252509 + 0.00437358i
\(273\) 3166.12 + 3728.62i 0.701912 + 0.826617i
\(274\) −5257.70 9106.60i −1.15923 2.00785i
\(275\) −829.270 1436.34i −0.181843 0.314961i
\(276\) −633.389 + 115.516i −0.138136 + 0.0251929i
\(277\) 316.315 547.874i 0.0686121 0.118840i −0.829679 0.558241i \(-0.811476\pi\)
0.898291 + 0.439402i \(0.144810\pi\)
\(278\) 9759.80 2.10559
\(279\) 3891.24 1468.18i 0.834991 0.315046i
\(280\) 2262.00 0.482787
\(281\) 1797.65 3113.62i 0.381633 0.661007i −0.609663 0.792661i \(-0.708695\pi\)
0.991296 + 0.131653i \(0.0420286\pi\)
\(282\) −3804.16 + 10645.6i −0.803313 + 2.24800i
\(283\) −252.184 436.796i −0.0529710 0.0917485i 0.838324 0.545172i \(-0.183536\pi\)
−0.891295 + 0.453424i \(0.850202\pi\)
\(284\) −2645.16 4581.55i −0.552680 0.957270i
\(285\) −87.0138 + 243.500i −0.0180851 + 0.0506095i
\(286\) −7100.08 + 12297.7i −1.46796 + 2.54258i
\(287\) −5021.88 −1.03286
\(288\) 4600.29 1735.71i 0.941232 0.355131i
\(289\) −2645.02 −0.538372
\(290\) −2043.65 + 3539.70i −0.413817 + 0.716753i
\(291\) −1288.94 + 235.074i −0.259654 + 0.0473549i
\(292\) 2315.80 + 4011.08i 0.464116 + 0.803872i
\(293\) −3099.25 5368.06i −0.617953 1.07033i −0.989859 0.142055i \(-0.954629\pi\)
0.371906 0.928270i \(-0.378704\pi\)
\(294\) −947.467 1115.80i −0.187950 0.221343i
\(295\) 1048.24 1815.61i 0.206885 0.358335i
\(296\) −5597.26 −1.09910
\(297\) −163.666 9306.02i −0.0319760 1.81815i
\(298\) −8006.60 −1.55641
\(299\) 224.457 388.770i 0.0434136 0.0751945i
\(300\) 1086.15 + 1279.12i 0.209029 + 0.246166i
\(301\) −2134.60 3697.24i −0.408759 0.707991i
\(302\) 2003.12 + 3469.51i 0.381678 + 0.661086i
\(303\) −222.889 + 40.6500i −0.0422596 + 0.00770719i
\(304\) −2.36730 + 4.10029i −0.000446626 + 0.000773578i
\(305\) −2726.05 −0.511781
\(306\) −4548.99 3727.06i −0.849832 0.696281i
\(307\) −1966.79 −0.365636 −0.182818 0.983147i \(-0.558522\pi\)
−0.182818 + 0.983147i \(0.558522\pi\)
\(308\) 8618.84 14928.3i 1.59449 2.76174i
\(309\) −2518.51 + 7047.81i −0.463666 + 1.29753i
\(310\) 1761.25 + 3050.58i 0.322686 + 0.558908i
\(311\) 1153.05 + 1997.15i 0.210237 + 0.364141i 0.951789 0.306755i \(-0.0992431\pi\)
−0.741552 + 0.670896i \(0.765910\pi\)
\(312\) 1840.51 5150.51i 0.333970 0.934584i
\(313\) −5151.20 + 8922.14i −0.930234 + 1.61121i −0.147314 + 0.989090i \(0.547063\pi\)
−0.782920 + 0.622122i \(0.786271\pi\)
\(314\) 1186.36 0.213218
\(315\) 440.152 2679.55i 0.0787294 0.479288i
\(316\) −8416.51 −1.49831
\(317\) 850.916 1473.83i 0.150764 0.261131i −0.780745 0.624850i \(-0.785160\pi\)
0.931509 + 0.363719i \(0.118493\pi\)
\(318\) −12772.5 + 2329.41i −2.25235 + 0.410777i
\(319\) 5928.78 + 10268.9i 1.04059 + 1.80235i
\(320\) 2072.67 + 3589.97i 0.362081 + 0.627142i
\(321\) 1196.51 + 1409.09i 0.208046 + 0.245008i
\(322\) −441.212 + 764.201i −0.0763596 + 0.132259i
\(323\) 473.983 0.0816506
\(324\) 1852.21 + 9233.01i 0.317595 + 1.58316i
\(325\) −1170.02 −0.199695
\(326\) −2748.26 + 4760.13i −0.466908 + 0.808709i
\(327\) −5120.66 6030.42i −0.865973 1.01983i
\(328\) 2807.63 + 4862.95i 0.472638 + 0.818633i
\(329\) 4784.18 + 8286.44i 0.801703 + 1.38859i
\(330\) 7755.12 1414.36i 1.29365 0.235933i
\(331\) 4175.74 7232.60i 0.693413 1.20103i −0.277300 0.960783i \(-0.589440\pi\)
0.970713 0.240243i \(-0.0772271\pi\)
\(332\) −10503.9 −1.73637
\(333\) −1089.14 + 6630.47i −0.179233 + 1.09113i
\(334\) 7678.61 1.25795
\(335\) 1119.69 1939.36i 0.182613 0.316295i
\(336\) 16.7311 46.8205i 0.00271654 0.00760199i
\(337\) 3928.71 + 6804.73i 0.635046 + 1.09993i 0.986505 + 0.163729i \(0.0523523\pi\)
−0.351459 + 0.936203i \(0.614314\pi\)
\(338\) −15.3289 26.5504i −0.00246681 0.00427264i
\(339\) −1421.56 + 3978.10i −0.227753 + 0.637347i
\(340\) 1537.95 2663.81i 0.245315 0.424898i
\(341\) 10219.1 1.62286
\(342\) −950.691 778.916i −0.150314 0.123155i
\(343\) 5660.34 0.891048
\(344\) −2386.82 + 4134.10i −0.374095 + 0.647952i
\(345\) −245.164 + 44.7124i −0.0382586 + 0.00697750i
\(346\) 2130.83 + 3690.70i 0.331081 + 0.573449i
\(347\) −606.088 1049.78i −0.0937652 0.162406i 0.815327 0.579000i \(-0.196557\pi\)
−0.909093 + 0.416594i \(0.863224\pi\)
\(348\) −7765.29 9144.91i −1.19616 1.40867i
\(349\) −699.332 + 1211.28i −0.107262 + 0.185783i −0.914660 0.404224i \(-0.867542\pi\)
0.807398 + 0.590007i \(0.200875\pi\)
\(350\) 2299.89 0.351240
\(351\) −5743.12 3182.47i −0.873348 0.483954i
\(352\) 12081.2 1.82934
\(353\) −1314.21 + 2276.28i −0.198154 + 0.343214i −0.947930 0.318479i \(-0.896828\pi\)
0.749776 + 0.661692i \(0.230161\pi\)
\(354\) 6449.75 + 7595.64i 0.968362 + 1.14041i
\(355\) −1023.85 1773.37i −0.153072 0.265128i
\(356\) 1298.22 + 2248.59i 0.193274 + 0.334761i
\(357\) −4896.73 + 893.053i −0.725946 + 0.132396i
\(358\) 2340.31 4053.53i 0.345500 0.598424i
\(359\) 3677.48 0.540640 0.270320 0.962770i \(-0.412870\pi\)
0.270320 + 0.962770i \(0.412870\pi\)
\(360\) −2840.83 + 1071.86i −0.415903 + 0.156922i
\(361\) −6759.94 −0.985558
\(362\) 6036.96 10456.3i 0.876507 1.51815i
\(363\) 5368.36 15022.9i 0.776215 2.17217i
\(364\) −6080.16 10531.1i −0.875513 1.51643i
\(365\) 896.370 + 1552.56i 0.128543 + 0.222643i
\(366\) 4360.08 12201.3i 0.622692 1.74255i
\(367\) −5714.88 + 9898.47i −0.812846 + 1.40789i 0.0980185 + 0.995185i \(0.468750\pi\)
−0.910864 + 0.412706i \(0.864584\pi\)
\(368\) −4.56301 −0.000646368
\(369\) 6306.94 2379.64i 0.889773 0.335715i
\(370\) −5691.00 −0.799624
\(371\) −5494.43 + 9516.63i −0.768886 + 1.33175i
\(372\) −10171.5 + 1855.05i −1.41766 + 0.258549i
\(373\) −1129.95 1957.13i −0.156854 0.271679i 0.776879 0.629650i \(-0.216802\pi\)
−0.933733 + 0.357971i \(0.883469\pi\)
\(374\) −7224.90 12513.9i −0.998905 1.73015i
\(375\) 420.412 + 495.105i 0.0578933 + 0.0681789i
\(376\) 5349.47 9265.55i 0.733717 1.27084i
\(377\) 8364.90 1.14274
\(378\) 11289.2 + 6255.76i 1.53612 + 0.851221i
\(379\) −11815.8 −1.60142 −0.800709 0.599053i \(-0.795544\pi\)
−0.800709 + 0.599053i \(0.795544\pi\)
\(380\) 321.415 556.708i 0.0433902 0.0751540i
\(381\) −2908.12 3424.78i −0.391043 0.460517i
\(382\) −1859.80 3221.27i −0.249099 0.431452i
\(383\) 4040.11 + 6997.68i 0.539008 + 0.933589i 0.998958 + 0.0456440i \(0.0145340\pi\)
−0.459950 + 0.887945i \(0.652133\pi\)
\(384\) −11936.0 + 2176.85i −1.58621 + 0.289289i
\(385\) 3336.07 5778.25i 0.441616 0.764901i
\(386\) 3724.00 0.491054
\(387\) 4432.78 + 3631.85i 0.582251 + 0.477047i
\(388\) 3257.17 0.426180
\(389\) −1550.22 + 2685.05i −0.202054 + 0.349968i −0.949190 0.314703i \(-0.898095\pi\)
0.747136 + 0.664671i \(0.231428\pi\)
\(390\) 1871.34 5236.77i 0.242972 0.679934i
\(391\) 228.402 + 395.604i 0.0295417 + 0.0511677i
\(392\) 692.669 + 1199.74i 0.0892476 + 0.154581i
\(393\) −3809.22 + 10659.8i −0.488931 + 1.36823i
\(394\) 9326.47 16153.9i 1.19254 2.06554i
\(395\) −3257.76 −0.414976
\(396\) −3750.52 + 22832.4i −0.475936 + 2.89740i
\(397\) −11990.1 −1.51578 −0.757890 0.652382i \(-0.773770\pi\)
−0.757890 + 0.652382i \(0.773770\pi\)
\(398\) −3069.99 + 5317.38i −0.386645 + 0.669689i
\(399\) −1023.36 + 186.638i −0.128402 + 0.0234176i
\(400\) 5.94635 + 10.2994i 0.000743294 + 0.00128742i
\(401\) −6426.63 11131.3i −0.800326 1.38620i −0.919402 0.393320i \(-0.871327\pi\)
0.119076 0.992885i \(-0.462007\pi\)
\(402\) 6889.38 + 8113.38i 0.854753 + 1.00661i
\(403\) 3604.52 6243.21i 0.445543 0.771703i
\(404\) 563.243 0.0693623
\(405\) 716.932 + 3573.80i 0.0879621 + 0.438478i
\(406\) −16442.8 −2.00996
\(407\) −8255.02 + 14298.1i −1.00537 + 1.74135i
\(408\) 3602.45 + 4242.48i 0.437127 + 0.514789i
\(409\) −1112.54 1926.98i −0.134503 0.232966i 0.790904 0.611940i \(-0.209610\pi\)
−0.925408 + 0.378974i \(0.876277\pi\)
\(410\) 2854.65 + 4944.40i 0.343856 + 0.595576i
\(411\) 11752.9 2143.47i 1.41053 0.257249i
\(412\) 9302.97 16113.2i 1.11244 1.92680i
\(413\) 8433.95 1.00486
\(414\) 191.995 1168.82i 0.0227924 0.138755i
\(415\) −4065.71 −0.480911
\(416\) 4261.32 7380.83i 0.502232 0.869891i
\(417\) −3731.29 + 10441.7i −0.438183 + 1.22621i
\(418\) −1509.93 2615.27i −0.176682 0.306021i
\(419\) −4838.33 8380.23i −0.564123 0.977090i −0.997131 0.0756998i \(-0.975881\pi\)
0.433007 0.901390i \(-0.357452\pi\)
\(420\) −2271.63 + 6356.95i −0.263915 + 0.738542i
\(421\) 4981.30 8627.87i 0.576660 0.998804i −0.419199 0.907894i \(-0.637689\pi\)
0.995859 0.0909098i \(-0.0289775\pi\)
\(422\) 13514.8 1.55898
\(423\) −9934.98 8139.88i −1.14197 0.935637i
\(424\) 12287.3 1.40737
\(425\) 595.291 1031.08i 0.0679432 0.117681i
\(426\) 9574.84 1746.23i 1.08897 0.198604i
\(427\) −5483.32 9497.39i −0.621444 1.07637i
\(428\) −2297.76 3979.83i −0.259500 0.449468i
\(429\) −10442.5 12297.7i −1.17521 1.38401i
\(430\) −2426.80 + 4203.33i −0.272164 + 0.471402i
\(431\) −2461.47 −0.275092 −0.137546 0.990495i \(-0.543922\pi\)
−0.137546 + 0.990495i \(0.543922\pi\)
\(432\) 1.17358 + 66.7297i 0.000130704 + 0.00743179i
\(433\) 7818.49 0.867743 0.433871 0.900975i \(-0.357147\pi\)
0.433871 + 0.900975i \(0.357147\pi\)
\(434\) −7085.36 + 12272.2i −0.783660 + 1.35734i
\(435\) −3005.69 3539.70i −0.331292 0.390151i
\(436\) 9833.63 + 17032.3i 1.08015 + 1.87087i
\(437\) 47.7336 + 82.6770i 0.00522519 + 0.00905030i
\(438\) −8382.64 + 1528.80i −0.914470 + 0.166779i
\(439\) −3105.91 + 5379.60i −0.337670 + 0.584862i −0.983994 0.178201i \(-0.942972\pi\)
0.646324 + 0.763063i \(0.276306\pi\)
\(440\) −7460.51 −0.808332
\(441\) 1555.98 587.080i 0.168015 0.0633927i
\(442\) −10193.6 −1.09697
\(443\) −1492.17 + 2584.52i −0.160034 + 0.277188i −0.934881 0.354962i \(-0.884494\pi\)
0.774846 + 0.632150i \(0.217827\pi\)
\(444\) 5621.08 15730.1i 0.600822 1.68134i
\(445\) 502.499 + 870.355i 0.0535298 + 0.0927163i
\(446\) 8019.45 + 13890.1i 0.851417 + 1.47470i
\(447\) 3061.02 8565.99i 0.323896 0.906392i
\(448\) −8338.16 + 14442.1i −0.879333 + 1.52305i
\(449\) −810.476 −0.0851865 −0.0425932 0.999092i \(-0.513562\pi\)
−0.0425932 + 0.999092i \(0.513562\pi\)
\(450\) −2888.41 + 1089.81i −0.302580 + 0.114165i
\(451\) 16563.1 1.72933
\(452\) 5251.01 9095.01i 0.546431 0.946446i
\(453\) −4477.73 + 816.637i −0.464420 + 0.0846996i
\(454\) 1492.88 + 2585.74i 0.154326 + 0.267301i
\(455\) −2353.43 4076.26i −0.242485 0.419996i
\(456\) 752.873 + 886.632i 0.0773169 + 0.0910534i
\(457\) −785.887 + 1361.20i −0.0804425 + 0.139331i −0.903440 0.428714i \(-0.858967\pi\)
0.822998 + 0.568045i \(0.192300\pi\)
\(458\) −20963.2 −2.13875
\(459\) 5726.59 3441.91i 0.582341 0.350010i
\(460\) 619.532 0.0627953
\(461\) −1031.35 + 1786.34i −0.104196 + 0.180474i −0.913410 0.407042i \(-0.866560\pi\)
0.809213 + 0.587515i \(0.199894\pi\)
\(462\) 20526.6 + 24173.5i 2.06707 + 2.43431i
\(463\) −1391.62 2410.35i −0.139684 0.241940i 0.787693 0.616068i \(-0.211275\pi\)
−0.927377 + 0.374128i \(0.877942\pi\)
\(464\) −42.5128 73.6344i −0.00425347 0.00736722i
\(465\) −3937.06 + 718.031i −0.392639 + 0.0716084i
\(466\) 726.118 1257.67i 0.0721819 0.125023i
\(467\) 10939.7 1.08400 0.541999 0.840379i \(-0.317668\pi\)
0.541999 + 0.840379i \(0.317668\pi\)
\(468\) 12626.2 + 10344.9i 1.24711 + 1.02178i
\(469\) 9008.83 0.886970
\(470\) 5439.06 9420.72i 0.533798 0.924565i
\(471\) −453.561 + 1269.25i −0.0443716 + 0.124170i
\(472\) −4715.24 8167.04i −0.459823 0.796438i
\(473\) 7040.33 + 12194.2i 0.684386 + 1.18539i
\(474\) 5210.51 14581.1i 0.504908 1.41294i
\(475\) 124.409 215.484i 0.0120175 0.0208149i
\(476\) 12374.1 1.19152
\(477\) 2390.92 14555.4i 0.229503 1.39716i
\(478\) −8496.21 −0.812986
\(479\) −7311.85 + 12664.5i −0.697467 + 1.20805i 0.271875 + 0.962333i \(0.412356\pi\)
−0.969342 + 0.245716i \(0.920977\pi\)
\(480\) −4654.46 + 848.869i −0.442596 + 0.0807195i
\(481\) 5823.49 + 10086.6i 0.552034 + 0.956151i
\(482\) −7470.81 12939.8i −0.705987 1.22281i
\(483\) −648.913 764.201i −0.0611316 0.0719925i
\(484\) −19829.9 + 34346.4i −1.86231 + 3.22562i
\(485\) 1260.74 0.118036
\(486\) −17142.3 2507.13i −1.59998 0.234003i
\(487\) 16473.6 1.53284 0.766419 0.642341i \(-0.222037\pi\)
0.766419 + 0.642341i \(0.222037\pi\)
\(488\) −6131.22 + 10619.6i −0.568744 + 0.985093i
\(489\) −4042.01 4760.13i −0.373795 0.440206i
\(490\) 704.270 + 1219.83i 0.0649299 + 0.112462i
\(491\) −10264.6 17778.8i −0.943450 1.63410i −0.758825 0.651295i \(-0.774226\pi\)
−0.184626 0.982809i \(-0.559107\pi\)
\(492\) −16486.0 + 3006.68i −1.51067 + 0.275511i
\(493\) −4255.97 + 7371.56i −0.388802 + 0.673425i
\(494\) −2130.35 −0.194026
\(495\) −1451.71 + 8837.67i −0.131817 + 0.802473i
\(496\) −73.2768 −0.00663352
\(497\) 4118.87 7134.10i 0.371744 0.643879i
\(498\) 6502.76 18197.4i 0.585132 1.63744i
\(499\) 7202.31 + 12474.8i 0.646131 + 1.11913i 0.984039 + 0.177953i \(0.0569475\pi\)
−0.337908 + 0.941179i \(0.609719\pi\)
\(500\) −807.352 1398.38i −0.0722118 0.125075i
\(501\) −2935.63 + 8215.08i −0.261785 + 0.732580i
\(502\) −12900.6 + 22344.5i −1.14698 + 1.98663i
\(503\) −2953.63 −0.261821 −0.130910 0.991394i \(-0.541790\pi\)
−0.130910 + 0.991394i \(0.541790\pi\)
\(504\) −9448.49 7741.30i −0.835058 0.684176i
\(505\) 218.013 0.0192108
\(506\) 1455.20 2520.48i 0.127849 0.221441i
\(507\) 34.2659 6.24932i 0.00300158 0.000547420i
\(508\) 5584.69 + 9672.98i 0.487757 + 0.844821i
\(509\) 8684.44 + 15041.9i 0.756250 + 1.30986i 0.944750 + 0.327790i \(0.106304\pi\)
−0.188500 + 0.982073i \(0.560363\pi\)
\(510\) 3662.78 + 4313.53i 0.318021 + 0.374522i
\(511\) −3606.02 + 6245.80i −0.312174 + 0.540701i
\(512\) −172.223 −0.0148657
\(513\) 1196.80 719.323i 0.103002 0.0619082i
\(514\) 5366.92 0.460554
\(515\) 3600.88 6236.91i 0.308104 0.533652i
\(516\) −9221.16 10859.4i −0.786703 0.926473i
\(517\) −15779.1 27330.3i −1.34229 2.32492i
\(518\) −11447.2 19827.1i −0.970966 1.68176i
\(519\) −4763.20 + 868.699i −0.402854 + 0.0734714i
\(520\) −2631.51 + 4557.90i −0.221922 + 0.384379i
\(521\) −6146.30 −0.516841 −0.258421 0.966033i \(-0.583202\pi\)
−0.258421 + 0.966033i \(0.583202\pi\)
\(522\) 20650.4 7791.48i 1.73150 0.653303i
\(523\) −4554.68 −0.380807 −0.190404 0.981706i \(-0.560980\pi\)
−0.190404 + 0.981706i \(0.560980\pi\)
\(524\) 14070.7 24371.1i 1.17305 2.03179i
\(525\) −879.275 + 2460.57i −0.0730947 + 0.204549i
\(526\) −6627.03 11478.4i −0.549339 0.951483i
\(527\) 3667.88 + 6352.96i 0.303179 + 0.525122i
\(528\) −55.1824 + 154.423i −0.00454831 + 0.0127280i
\(529\) 6037.50 10457.3i 0.496219 0.859476i
\(530\) 12493.1 1.02389
\(531\) −10592.1 + 3996.46i −0.865649 + 0.326613i
\(532\) 2586.05 0.210751
\(533\) 5842.22 10119.0i 0.474774 0.822333i
\(534\) −4699.25 + 857.037i −0.380817 + 0.0694525i
\(535\) −889.387 1540.46i −0.0718720 0.124486i
\(536\) −5036.64 8723.72i −0.405877 0.702999i
\(537\) 3442.01 + 4053.53i 0.276599 + 0.325741i
\(538\) 6700.59 11605.8i 0.536957 0.930037i
\(539\) 4086.28 0.326547
\(540\) −159.341 9060.07i −0.0126980 0.722006i
\(541\) 18091.8 1.43776 0.718879 0.695135i \(-0.244655\pi\)
0.718879 + 0.695135i \(0.244655\pi\)
\(542\) −1529.59 + 2649.33i −0.121221 + 0.209960i
\(543\) 8878.86 + 10456.3i 0.701710 + 0.826379i
\(544\) 4336.23 + 7510.58i 0.341754 + 0.591936i
\(545\) 3806.28 + 6592.67i 0.299162 + 0.518163i
\(546\) 22008.7 4013.89i 1.72507 0.314613i
\(547\) −7890.69 + 13667.1i −0.616786 + 1.06830i 0.373283 + 0.927718i \(0.378232\pi\)
−0.990068 + 0.140586i \(0.955101\pi\)
\(548\) −29699.7 −2.31516
\(549\) 11386.8 + 9329.41i 0.885206 + 0.725263i
\(550\) −7585.46 −0.588082
\(551\) −889.453 + 1540.58i −0.0687694 + 0.119112i
\(552\) −377.223 + 1055.62i −0.0290864 + 0.0813956i
\(553\) −6552.83 11349.8i −0.503896 0.872774i
\(554\) −1446.69 2505.75i −0.110946 0.192164i
\(555\) 2175.74 6088.61i 0.166405 0.465670i
\(556\) 13782.8 23872.5i 1.05130 1.82090i
\(557\) −13954.5 −1.06153 −0.530766 0.847519i \(-0.678096\pi\)
−0.530766 + 0.847519i \(0.678096\pi\)
\(558\) 3083.22 18770.0i 0.233913 1.42401i
\(559\) 9933.18 0.751572
\(560\) −23.9216 + 41.4335i −0.00180513 + 0.00312658i
\(561\) 16150.4 2945.46i 1.21545 0.221671i
\(562\) −8221.69 14240.4i −0.617102 1.06885i
\(563\) 6801.97 + 11781.4i 0.509181 + 0.881927i 0.999943 + 0.0106339i \(0.00338494\pi\)
−0.490762 + 0.871293i \(0.663282\pi\)
\(564\) 20666.9 + 24338.7i 1.54297 + 1.81710i
\(565\) 2032.50 3520.39i 0.151341 0.262131i
\(566\) −2306.77 −0.171309
\(567\) −11008.8 + 9686.28i −0.815392 + 0.717435i
\(568\) −9211.10 −0.680438
\(569\) 6229.30 10789.5i 0.458956 0.794935i −0.539950 0.841697i \(-0.681557\pi\)
0.998906 + 0.0467619i \(0.0148902\pi\)
\(570\) 765.482 + 901.482i 0.0562500 + 0.0662437i
\(571\) 6728.56 + 11654.2i 0.493137 + 0.854139i 0.999969 0.00790629i \(-0.00251668\pi\)
−0.506831 + 0.862045i \(0.669183\pi\)
\(572\) 20053.5 + 34733.7i 1.46587 + 2.53897i
\(573\) 4157.36 758.207i 0.303100 0.0552785i
\(574\) −11484.0 + 19890.8i −0.835074 + 1.44639i
\(575\) 239.801 0.0173920
\(576\) 3628.38 22088.8i 0.262470 1.59786i
\(577\) 3722.70 0.268592 0.134296 0.990941i \(-0.457123\pi\)
0.134296 + 0.990941i \(0.457123\pi\)
\(578\) −6048.61 + 10476.5i −0.435275 + 0.753918i
\(579\) −1423.73 + 3984.18i −0.102190 + 0.285971i
\(580\) 5772.08 + 9997.54i 0.413229 + 0.715733i
\(581\) −8177.99 14164.7i −0.583959 1.01145i
\(582\) −2016.45 + 5642.86i −0.143616 + 0.401897i
\(583\) 18121.7 31387.7i 1.28735 2.22975i
\(584\) 8064.19 0.571401
\(585\) 4887.21 + 4004.17i 0.345404 + 0.282995i
\(586\) −28349.3 −1.99847
\(587\) 8770.16 15190.4i 0.616667 1.06810i −0.373423 0.927661i \(-0.621816\pi\)
0.990090 0.140437i \(-0.0448506\pi\)
\(588\) −4067.27 + 741.777i −0.285257 + 0.0520244i
\(589\) 766.548 + 1327.70i 0.0536249 + 0.0928810i
\(590\) −4794.21 8303.82i −0.334533 0.579429i
\(591\) 13716.9 + 16153.9i 0.954718 + 1.12434i
\(592\) 59.1933 102.526i 0.00410951 0.00711788i
\(593\) −22350.6 −1.54777 −0.773886 0.633325i \(-0.781690\pi\)
−0.773886 + 0.633325i \(0.781690\pi\)
\(594\) −37233.9 20632.7i −2.57193 1.42520i
\(595\) 4789.60 0.330008
\(596\) −11306.9 + 19584.2i −0.777097 + 1.34597i
\(597\) −4515.19 5317.38i −0.309539 0.364533i
\(598\) −1026.57 1778.07i −0.0702000 0.121590i
\(599\) 1280.81 + 2218.43i 0.0873665 + 0.151323i 0.906397 0.422427i \(-0.138822\pi\)
−0.819031 + 0.573750i \(0.805488\pi\)
\(600\) 2874.28 524.204i 0.195570 0.0356676i
\(601\) −6692.51 + 11591.8i −0.454232 + 0.786752i −0.998644 0.0520656i \(-0.983420\pi\)
0.544412 + 0.838818i \(0.316753\pi\)
\(602\) −19525.6 −1.32193
\(603\) −11314.1 + 4268.87i −0.764091 + 0.288295i
\(604\) 11315.3 0.762270
\(605\) −7675.51 + 13294.4i −0.515791 + 0.893377i
\(606\) −348.693 + 975.786i −0.0233741 + 0.0654103i
\(607\) 14314.3 + 24793.1i 0.957166 + 1.65786i 0.729331 + 0.684161i \(0.239831\pi\)
0.227835 + 0.973700i \(0.426835\pi\)
\(608\) 906.226 + 1569.63i 0.0604479 + 0.104699i
\(609\) 6286.29 17591.6i 0.418281 1.17052i
\(610\) −6233.90 + 10797.4i −0.413776 + 0.716681i
\(611\) −22262.8 −1.47407
\(612\) −15540.5 + 5863.50i −1.02645 + 0.387284i
\(613\) 7188.12 0.473614 0.236807 0.971557i \(-0.423899\pi\)
0.236807 + 0.971557i \(0.423899\pi\)
\(614\) −4497.63 + 7790.12i −0.295618 + 0.512025i
\(615\) −6381.21 + 1163.79i −0.418399 + 0.0763064i
\(616\) −15006.5 25992.0i −0.981539 1.70008i
\(617\) −7766.88 13452.6i −0.506779 0.877767i −0.999969 0.00784559i \(-0.997503\pi\)
0.493190 0.869922i \(-0.335831\pi\)
\(618\) 22155.9 + 26092.3i 1.44214 + 1.69836i
\(619\) 11079.9 19191.0i 0.719450 1.24612i −0.241769 0.970334i \(-0.577728\pi\)
0.961218 0.275789i \(-0.0889392\pi\)
\(620\) 9948.99 0.644453
\(621\) 1177.08 + 652.265i 0.0760624 + 0.0421490i
\(622\) 10547.2 0.679908
\(623\) −2021.51 + 3501.36i −0.130000 + 0.225167i
\(624\) 74.8785 + 88.1818i 0.00480375 + 0.00565721i
\(625\) −312.500 541.266i −0.0200000 0.0346410i
\(626\) 23559.4 + 40806.1i 1.50419 + 2.60534i
\(627\) 3375.25 615.569i 0.214983 0.0392081i
\(628\) 1675.38 2901.85i 0.106457 0.184389i
\(629\) −11851.7 −0.751287
\(630\) −9606.74 7870.95i −0.607526 0.497756i
\(631\) −25582.8 −1.61400 −0.807002 0.590549i \(-0.798911\pi\)
−0.807002 + 0.590549i \(0.798911\pi\)
\(632\) −7327.10 + 12690.9i −0.461165 + 0.798761i
\(633\) −5166.88 + 14459.0i −0.324431 + 0.907891i
\(634\) −3891.73 6740.68i −0.243786 0.422250i
\(635\) 2161.65 + 3744.10i 0.135091 + 0.233984i
\(636\) −12339.6 + 34531.2i −0.769334 + 2.15291i
\(637\) 1441.33 2496.46i 0.0896510 0.155280i
\(638\) 54231.5 3.36527
\(639\) −1792.34 + 10911.4i −0.110961 + 0.675506i
\(640\) 11674.8 0.721076
\(641\) −1905.34 + 3300.14i −0.117405 + 0.203351i −0.918738 0.394867i \(-0.870791\pi\)
0.801334 + 0.598217i \(0.204124\pi\)
\(642\) 8317.33 1516.89i 0.511306 0.0932507i
\(643\) −13360.0 23140.3i −0.819391 1.41923i −0.906131 0.422996i \(-0.860978\pi\)
0.0867402 0.996231i \(-0.472355\pi\)
\(644\) 1246.16 + 2158.41i 0.0762509 + 0.132071i
\(645\) −3569.21 4203.33i −0.217888 0.256599i
\(646\) 1083.90 1877.37i 0.0660147 0.114341i
\(647\) 5114.23 0.310759 0.155380 0.987855i \(-0.450340\pi\)
0.155380 + 0.987855i \(0.450340\pi\)
\(648\) 15534.5 + 5245.03i 0.941750 + 0.317970i
\(649\) −27816.8 −1.68244
\(650\) −2675.58 + 4634.24i −0.161454 + 0.279646i
\(651\) −10420.8 12272.2i −0.627378 0.738842i
\(652\) 7762.20 + 13444.5i 0.466244 + 0.807559i
\(653\) 4435.53 + 7682.56i 0.265813 + 0.460401i 0.967776 0.251812i \(-0.0810264\pi\)
−0.701964 + 0.712213i \(0.747693\pi\)
\(654\) −35595.4 + 6491.79i −2.12827 + 0.388148i
\(655\) 5446.30 9433.27i 0.324893 0.562730i
\(656\) −118.767 −0.00706872
\(657\) 1569.17 9552.78i 0.0931799 0.567259i
\(658\) 43761.7 2.59272
\(659\) 12102.2 20961.7i 0.715382 1.23908i −0.247430 0.968906i \(-0.579586\pi\)
0.962812 0.270172i \(-0.0870805\pi\)
\(660\) 7492.27 20966.4i 0.441873 1.23654i
\(661\) −10689.8 18515.2i −0.629023 1.08950i −0.987748 0.156056i \(-0.950122\pi\)
0.358726 0.933443i \(-0.383211\pi\)
\(662\) −19098.1 33078.9i −1.12125 1.94207i
\(663\) 3897.14 10905.8i 0.228284 0.638832i
\(664\) −9144.28 + 15838.4i −0.534438 + 0.925674i
\(665\) 1000.98 0.0583702
\(666\) 23771.6 + 19476.4i 1.38308 + 1.13318i
\(667\) −1714.43 −0.0995248
\(668\) 10843.7 18781.9i 0.628079 1.08787i
\(669\) −17926.5 + 3269.38i −1.03599 + 0.188941i
\(670\) −5121.00 8869.83i −0.295286 0.511450i
\(671\) 18085.0 + 31324.2i 1.04048 + 1.80217i
\(672\) −12319.6 14508.4i −0.707203 0.832849i
\(673\) −14850.7 + 25722.1i −0.850597 + 1.47328i 0.0300732 + 0.999548i \(0.490426\pi\)
−0.880670 + 0.473730i \(0.842907\pi\)
\(674\) 35936.6 2.05375
\(675\) −61.6756 3506.86i −0.00351688 0.199969i
\(676\) −86.5900 −0.00492661
\(677\) −1330.74 + 2304.91i −0.0755459 + 0.130849i −0.901324 0.433147i \(-0.857403\pi\)
0.825778 + 0.563996i \(0.190737\pi\)
\(678\) 12505.8 + 14727.6i 0.708381 + 0.834235i
\(679\) 2535.93 + 4392.36i 0.143328 + 0.248252i
\(680\) −2677.77 4638.03i −0.151011 0.261559i
\(681\) −3337.14 + 608.618i −0.187782 + 0.0342471i
\(682\) 23368.9 40476.1i 1.31208 2.27259i
\(683\) 28698.1 1.60776 0.803882 0.594789i \(-0.202765\pi\)
0.803882 + 0.594789i \(0.202765\pi\)
\(684\) −3247.80 + 1225.41i −0.181554 + 0.0685010i
\(685\) −11495.8 −0.641215
\(686\) 12944.0 22419.7i 0.720415 1.24780i
\(687\) 8014.51 22427.9i 0.445084 1.24553i
\(688\) −50.4833 87.4396i −0.00279747 0.00484535i
\(689\) −12783.9 22142.4i −0.706863 1.22432i
\(690\) −383.541 + 1073.30i −0.0211611 + 0.0592174i
\(691\) −8412.62 + 14571.1i −0.463142 + 0.802186i −0.999116 0.0420492i \(-0.986611\pi\)
0.535973 + 0.844235i \(0.319945\pi\)
\(692\) 12036.6 0.661220
\(693\) −33710.0 + 12718.9i −1.84781 + 0.697189i
\(694\) −5543.99 −0.303238
\(695\) 5334.88 9240.28i 0.291170 0.504322i
\(696\) −20549.4 + 3747.74i −1.11914 + 0.204106i
\(697\) 5944.92 + 10296.9i 0.323070 + 0.559574i
\(698\) 3198.45 + 5539.88i 0.173443 + 0.300412i
\(699\) 1067.94 + 1257.67i 0.0577870 + 0.0680537i
\(700\) 3247.90 5625.54i 0.175370 0.303750i
\(701\) −998.795 −0.0538145 −0.0269073 0.999638i \(-0.508566\pi\)
−0.0269073 + 0.999638i \(0.508566\pi\)
\(702\) −25738.6 + 15469.9i −1.38382 + 0.831730i
\(703\) −2476.88 −0.132884
\(704\) 27500.8 47632.9i 1.47227 2.55004i
\(705\) 7999.50 + 9420.72i 0.427345 + 0.503270i
\(706\) 6010.66 + 10410.8i 0.320417 + 0.554978i
\(707\) 438.523 + 759.545i 0.0233272 + 0.0404040i
\(708\) 27687.3 5049.54i 1.46971 0.268041i
\(709\) −16626.9 + 28798.6i −0.880727 + 1.52546i −0.0301937 + 0.999544i \(0.509612\pi\)
−0.850534 + 0.525921i \(0.823721\pi\)
\(710\) −9365.36 −0.495036
\(711\) 13607.8 + 11149.1i 0.717768 + 0.588078i
\(712\) 4520.73 0.237952
\(713\) −738.765 + 1279.58i −0.0388036 + 0.0672099i
\(714\) −7660.56 + 21437.4i −0.401526 + 1.12363i
\(715\) 7762.06 + 13444.3i 0.405993 + 0.703200i
\(716\) −6609.97 11448.8i −0.345009 0.597573i
\(717\) 3248.21 9089.81i 0.169186 0.473452i
\(718\) 8409.62 14565.9i 0.437109 0.757095i
\(719\) 1178.94 0.0611503 0.0305752 0.999532i \(-0.490266\pi\)
0.0305752 + 0.999532i \(0.490266\pi\)
\(720\) 10.4096 63.3713i 0.000538809 0.00328015i
\(721\) 28972.0 1.49650
\(722\) −15458.6 + 26775.0i −0.796826 + 1.38014i
\(723\) 16700.1 3045.71i 0.859034 0.156668i
\(724\) −17050.8 29532.9i −0.875260 1.51600i
\(725\) 2234.19 + 3869.72i 0.114449 + 0.198232i
\(726\) −47226.8 55617.4i −2.41426 2.84319i
\(727\) −6338.35 + 10978.3i −0.323351 + 0.560061i −0.981177 0.193109i \(-0.938143\pi\)
0.657826 + 0.753170i \(0.271476\pi\)
\(728\) −21172.6 −1.07790
\(729\) 9236.02 17381.5i 0.469238 0.883072i
\(730\) 8199.24 0.415709
\(731\) −5053.90 + 8753.61i −0.255712 + 0.442906i
\(732\) −23687.1 27895.5i −1.19604 1.40853i
\(733\) −4903.42 8492.98i −0.247083 0.427961i 0.715632 0.698478i \(-0.246139\pi\)
−0.962715 + 0.270517i \(0.912805\pi\)
\(734\) 26137.5 + 45271.4i 1.31438 + 2.27657i
\(735\) −1574.31 + 287.118i −0.0790057 + 0.0144088i
\(736\) −873.381 + 1512.74i −0.0437408 + 0.0757613i
\(737\) −29712.8 −1.48506
\(738\) 4997.30 30422.5i 0.249259 1.51744i
\(739\) −29970.4 −1.49185 −0.745927 0.666028i \(-0.767993\pi\)
−0.745927 + 0.666028i \(0.767993\pi\)
\(740\) −8036.84 + 13920.2i −0.399243 + 0.691510i
\(741\) 814.460 2279.19i 0.0403778 0.112994i
\(742\) 25129.2 + 43525.1i 1.24329 + 2.15345i
\(743\) −10848.8 18790.6i −0.535670 0.927808i −0.999131 0.0416904i \(-0.986726\pi\)
0.463460 0.886118i \(-0.346608\pi\)
\(744\) −6057.78 + 16952.1i −0.298507 + 0.835344i
\(745\) −4376.55 + 7580.40i −0.215227 + 0.372785i
\(746\) −10335.8 −0.507267
\(747\) 16982.7 + 13914.2i 0.831812 + 0.681516i
\(748\) −40812.1 −1.99497
\(749\) 3577.92 6197.14i 0.174545 0.302321i
\(750\) 2922.42 532.984i 0.142282 0.0259491i
\(751\) −8512.10 14743.4i −0.413596 0.716370i 0.581684 0.813415i \(-0.302394\pi\)
−0.995280 + 0.0970452i \(0.969061\pi\)
\(752\) 113.146 + 195.974i 0.00548670 + 0.00950324i
\(753\) −18973.6 22344.5i −0.918243 1.08138i
\(754\) 19128.8 33132.0i 0.923911 1.60026i
\(755\) 4379.77 0.211121
\(756\) 31244.2 18779.0i 1.50310 0.903422i
\(757\) 30745.2 1.47616 0.738080 0.674714i \(-0.235733\pi\)
0.738080 + 0.674714i \(0.235733\pi\)
\(758\) −27020.3 + 46800.5i −1.29475 + 2.24257i
\(759\) 2140.24 + 2520.48i 0.102353 + 0.120537i
\(760\) −559.624 969.298i −0.0267101 0.0462633i
\(761\) −10748.3 18616.6i −0.511992 0.886797i −0.999903 0.0139035i \(-0.995574\pi\)
0.487911 0.872893i \(-0.337759\pi\)
\(762\) −20215.3 + 3686.81i −0.961052 + 0.175274i
\(763\) −15312.3 + 26521.7i −0.726530 + 1.25839i
\(764\) −10505.7 −0.497489
\(765\) −6015.23 + 2269.57i −0.284289 + 0.107263i
\(766\) 36955.5 1.74316
\(767\) −9811.66 + 16994.3i −0.461902 + 0.800037i
\(768\) −7075.65 + 19800.6i −0.332449 + 0.930327i
\(769\) −11028.7 19102.4i −0.517174 0.895772i