Properties

Label 63.4.s.a.47.19
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.19
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.19

$q$-expansion

\(f(q)\) \(=\) \(q+(3.55689 - 2.05357i) q^{2} +(4.91877 + 1.67502i) q^{3} +(4.43430 - 7.68044i) q^{4} -7.61183 q^{5} +(20.9353 - 4.14318i) q^{6} +(4.76690 - 17.8963i) q^{7} -3.56749i q^{8} +(21.3886 + 16.4781i) q^{9} +O(q^{10})\) \(q+(3.55689 - 2.05357i) q^{2} +(4.91877 + 1.67502i) q^{3} +(4.43430 - 7.68044i) q^{4} -7.61183 q^{5} +(20.9353 - 4.14318i) q^{6} +(4.76690 - 17.8963i) q^{7} -3.56749i q^{8} +(21.3886 + 16.4781i) q^{9} +(-27.0744 + 15.6314i) q^{10} +7.17024i q^{11} +(34.6762 - 30.3508i) q^{12} +(-59.6417 + 34.4342i) q^{13} +(-19.7959 - 73.4442i) q^{14} +(-37.4408 - 12.7500i) q^{15} +(28.1483 + 48.7543i) q^{16} +(11.4334 + 19.8032i) q^{17} +(109.916 + 14.6877i) q^{18} +(-86.1218 - 49.7224i) q^{19} +(-33.7532 + 58.4622i) q^{20} +(53.4239 - 80.0430i) q^{21} +(14.7246 + 25.5037i) q^{22} -122.450i q^{23} +(5.97563 - 17.5477i) q^{24} -67.0601 q^{25} +(-141.426 + 244.957i) q^{26} +(77.6045 + 116.878i) q^{27} +(-116.313 - 115.969i) q^{28} +(143.427 + 82.8076i) q^{29} +(-159.356 + 31.5372i) q^{30} +(-11.9405 - 6.89384i) q^{31} +(224.957 + 129.879i) q^{32} +(-12.0103 + 35.2688i) q^{33} +(81.3346 + 46.9585i) q^{34} +(-36.2848 + 136.223i) q^{35} +(221.403 - 91.2050i) q^{36} +(126.544 - 219.181i) q^{37} -408.434 q^{38} +(-351.042 + 69.4726i) q^{39} +27.1552i q^{40} +(159.598 + 276.433i) q^{41} +(25.6490 - 394.414i) q^{42} +(156.693 - 271.399i) q^{43} +(55.0706 + 31.7950i) q^{44} +(-162.806 - 125.428i) q^{45} +(-251.459 - 435.540i) q^{46} +(-35.3934 - 61.3031i) q^{47} +(56.7906 + 286.960i) q^{48} +(-297.553 - 170.620i) q^{49} +(-238.525 + 137.713i) q^{50} +(23.0674 + 116.559i) q^{51} +610.766i q^{52} +(254.574 - 146.979i) q^{53} +(516.048 + 256.357i) q^{54} -54.5786i q^{55} +(-63.8449 - 17.0059i) q^{56} +(-340.327 - 388.829i) q^{57} +680.205 q^{58} +(230.615 - 399.437i) q^{59} +(-263.949 + 231.025i) q^{60} +(573.665 - 331.205i) q^{61} -56.6280 q^{62} +(396.854 - 304.227i) q^{63} +616.491 q^{64} +(453.983 - 262.107i) q^{65} +(29.7076 + 150.111i) q^{66} +(-359.139 + 622.047i) q^{67} +202.797 q^{68} +(205.106 - 602.302i) q^{69} +(150.683 + 559.045i) q^{70} +92.9435i q^{71} +(58.7855 - 76.3037i) q^{72} +(-882.012 + 509.230i) q^{73} -1039.47i q^{74} +(-329.853 - 112.327i) q^{75} +(-763.780 + 440.969i) q^{76} +(128.321 + 34.1798i) q^{77} +(-1105.95 + 967.996i) q^{78} +(-398.113 - 689.551i) q^{79} +(-214.260 - 371.110i) q^{80} +(185.945 + 704.887i) q^{81} +(1135.35 + 655.493i) q^{82} +(10.7079 - 18.5466i) q^{83} +(-377.868 - 765.254i) q^{84} +(-87.0290 - 150.739i) q^{85} -1287.12i q^{86} +(566.780 + 647.555i) q^{87} +25.5798 q^{88} +(-339.721 + 588.414i) q^{89} +(-836.660 - 111.800i) q^{90} +(331.937 + 1231.51i) q^{91} +(-940.467 - 542.979i) q^{92} +(-47.1852 - 53.9098i) q^{93} +(-251.780 - 145.366i) q^{94} +(655.544 + 378.479i) q^{95} +(888.963 + 1015.65i) q^{96} +(-984.068 - 568.152i) q^{97} +(-1408.74 + 4.17218i) q^{98} +(-118.152 + 153.361i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.55689 2.05357i 1.25755 0.726047i 0.284952 0.958542i \(-0.408022\pi\)
0.972598 + 0.232495i \(0.0746889\pi\)
\(3\) 4.91877 + 1.67502i 0.946618 + 0.322358i
\(4\) 4.43430 7.68044i 0.554288 0.960055i
\(5\) −7.61183 −0.680823 −0.340411 0.940277i \(-0.610566\pi\)
−0.340411 + 0.940277i \(0.610566\pi\)
\(6\) 20.9353 4.14318i 1.42447 0.281908i
\(7\) 4.76690 17.8963i 0.257388 0.966308i
\(8\) 3.56749i 0.157662i
\(9\) 21.3886 + 16.4781i 0.792171 + 0.610300i
\(10\) −27.0744 + 15.6314i −0.856168 + 0.494309i
\(11\) 7.17024i 0.196537i 0.995160 + 0.0982686i \(0.0313304\pi\)
−0.995160 + 0.0982686i \(0.968670\pi\)
\(12\) 34.6762 30.3508i 0.834180 0.730126i
\(13\) −59.6417 + 34.4342i −1.27243 + 0.734640i −0.975445 0.220241i \(-0.929316\pi\)
−0.296988 + 0.954881i \(0.595982\pi\)
\(14\) −19.7959 73.4442i −0.377906 1.40206i
\(15\) −37.4408 12.7500i −0.644479 0.219469i
\(16\) 28.1483 + 48.7543i 0.439818 + 0.761787i
\(17\) 11.4334 + 19.8032i 0.163118 + 0.282529i 0.935985 0.352039i \(-0.114512\pi\)
−0.772867 + 0.634568i \(0.781178\pi\)
\(18\) 109.916 + 14.6877i 1.43930 + 0.192329i
\(19\) −86.1218 49.7224i −1.03988 0.600374i −0.120079 0.992764i \(-0.538315\pi\)
−0.919799 + 0.392390i \(0.871648\pi\)
\(20\) −33.7532 + 58.4622i −0.377372 + 0.653627i
\(21\) 53.4239 80.0430i 0.555146 0.831753i
\(22\) 14.7246 + 25.5037i 0.142695 + 0.247155i
\(23\) 122.450i 1.11011i −0.831814 0.555055i \(-0.812697\pi\)
0.831814 0.555055i \(-0.187303\pi\)
\(24\) 5.97563 17.5477i 0.0508238 0.149246i
\(25\) −67.0601 −0.536481
\(26\) −141.426 + 244.957i −1.06677 + 1.84769i
\(27\) 77.6045 + 116.878i 0.553148 + 0.833083i
\(28\) −116.313 115.969i −0.785042 0.782720i
\(29\) 143.427 + 82.8076i 0.918404 + 0.530241i 0.883126 0.469136i \(-0.155435\pi\)
0.0352788 + 0.999378i \(0.488768\pi\)
\(30\) −159.356 + 31.5372i −0.969809 + 0.191929i
\(31\) −11.9405 6.89384i −0.0691798 0.0399410i 0.465011 0.885305i \(-0.346050\pi\)
−0.534191 + 0.845364i \(0.679384\pi\)
\(32\) 224.957 + 129.879i 1.24273 + 0.717488i
\(33\) −12.0103 + 35.2688i −0.0633553 + 0.186046i
\(34\) 81.3346 + 46.9585i 0.410258 + 0.236862i
\(35\) −36.2848 + 136.223i −0.175236 + 0.657884i
\(36\) 221.403 91.2050i 1.02501 0.422246i
\(37\) 126.544 219.181i 0.562263 0.973868i −0.435035 0.900413i \(-0.643264\pi\)
0.997299 0.0734549i \(-0.0234025\pi\)
\(38\) −408.434 −1.74360
\(39\) −351.042 + 69.4726i −1.44133 + 0.285244i
\(40\) 27.1552i 0.107340i
\(41\) 159.598 + 276.433i 0.607929 + 1.05296i 0.991581 + 0.129486i \(0.0413328\pi\)
−0.383652 + 0.923478i \(0.625334\pi\)
\(42\) 25.6490 394.414i 0.0942316 1.44903i
\(43\) 156.693 271.399i 0.555707 0.962512i −0.442141 0.896945i \(-0.645781\pi\)
0.997848 0.0655670i \(-0.0208856\pi\)
\(44\) 55.0706 + 31.7950i 0.188686 + 0.108938i
\(45\) −162.806 125.428i −0.539328 0.415506i
\(46\) −251.459 435.540i −0.805992 1.39602i
\(47\) −35.3934 61.3031i −0.109844 0.190255i 0.805863 0.592102i \(-0.201702\pi\)
−0.915707 + 0.401847i \(0.868368\pi\)
\(48\) 56.7906 + 286.960i 0.170771 + 0.862899i
\(49\) −297.553 170.620i −0.867502 0.497433i
\(50\) −238.525 + 137.713i −0.674651 + 0.389510i
\(51\) 23.0674 + 116.559i 0.0633350 + 0.320029i
\(52\) 610.766i 1.62881i
\(53\) 254.574 146.979i 0.659783 0.380926i −0.132412 0.991195i \(-0.542272\pi\)
0.792194 + 0.610269i \(0.208939\pi\)
\(54\) 516.048 + 256.357i 1.30047 + 0.646032i
\(55\) 54.5786i 0.133807i
\(56\) −63.8449 17.0059i −0.152351 0.0405805i
\(57\) −340.327 388.829i −0.790832 0.903538i
\(58\) 680.205 1.53992
\(59\) 230.615 399.437i 0.508873 0.881394i −0.491074 0.871118i \(-0.663396\pi\)
0.999947 0.0102763i \(-0.00327112\pi\)
\(60\) −263.949 + 231.025i −0.567929 + 0.497086i
\(61\) 573.665 331.205i 1.20410 0.695189i 0.242637 0.970117i \(-0.421987\pi\)
0.961465 + 0.274928i \(0.0886541\pi\)
\(62\) −56.6280 −0.115996
\(63\) 396.854 304.227i 0.793633 0.608397i
\(64\) 616.491 1.20408
\(65\) 453.983 262.107i 0.866302 0.500159i
\(66\) 29.7076 + 150.111i 0.0554053 + 0.279961i
\(67\) −359.139 + 622.047i −0.654863 + 1.13426i 0.327065 + 0.945002i \(0.393940\pi\)
−0.981928 + 0.189254i \(0.939393\pi\)
\(68\) 202.797 0.361657
\(69\) 205.106 602.302i 0.357853 1.05085i
\(70\) 150.683 + 559.045i 0.257287 + 0.954552i
\(71\) 92.9435i 0.155357i 0.996978 + 0.0776787i \(0.0247508\pi\)
−0.996978 + 0.0776787i \(0.975249\pi\)
\(72\) 58.7855 76.3037i 0.0962214 0.124896i
\(73\) −882.012 + 509.230i −1.41413 + 0.816450i −0.995774 0.0918323i \(-0.970728\pi\)
−0.418358 + 0.908282i \(0.637394\pi\)
\(74\) 1039.47i 1.63292i
\(75\) −329.853 112.327i −0.507842 0.172939i
\(76\) −763.780 + 440.969i −1.15278 + 0.665560i
\(77\) 128.321 + 34.1798i 0.189915 + 0.0505864i
\(78\) −1105.95 + 967.996i −1.60544 + 1.40518i
\(79\) −398.113 689.551i −0.566977 0.982033i −0.996863 0.0791495i \(-0.974780\pi\)
0.429886 0.902883i \(-0.358554\pi\)
\(80\) −214.260 371.110i −0.299438 0.518641i
\(81\) 185.945 + 704.887i 0.255069 + 0.966923i
\(82\) 1135.35 + 655.493i 1.52900 + 0.882770i
\(83\) 10.7079 18.5466i 0.0141608 0.0245272i −0.858858 0.512213i \(-0.828826\pi\)
0.873019 + 0.487686i \(0.162159\pi\)
\(84\) −377.868 765.254i −0.490818 0.994001i
\(85\) −87.0290 150.739i −0.111054 0.192352i
\(86\) 1287.12i 1.61388i
\(87\) 566.780 + 647.555i 0.698451 + 0.797991i
\(88\) 25.5798 0.0309865
\(89\) −339.721 + 588.414i −0.404611 + 0.700806i −0.994276 0.106841i \(-0.965926\pi\)
0.589665 + 0.807648i \(0.299260\pi\)
\(90\) −836.660 111.800i −0.979908 0.130942i
\(91\) 331.937 + 1231.51i 0.382379 + 1.41865i
\(92\) −940.467 542.979i −1.06577 0.615320i
\(93\) −47.1852 53.9098i −0.0526116 0.0601095i
\(94\) −251.780 145.366i −0.276268 0.159503i
\(95\) 655.544 + 378.479i 0.707973 + 0.408748i
\(96\) 888.963 + 1015.65i 0.945098 + 1.07979i
\(97\) −984.068 568.152i −1.03007 0.594713i −0.113067 0.993587i \(-0.536067\pi\)
−0.917005 + 0.398875i \(0.869401\pi\)
\(98\) −1408.74 + 4.17218i −1.45209 + 0.00430054i
\(99\) −118.152 + 153.361i −0.119947 + 0.155691i
\(100\) −297.365 + 515.051i −0.297365 + 0.515051i
\(101\) −1542.10 −1.51926 −0.759629 0.650357i \(-0.774619\pi\)
−0.759629 + 0.650357i \(0.774619\pi\)
\(102\) 321.410 + 367.216i 0.312003 + 0.356468i
\(103\) 418.265i 0.400125i 0.979783 + 0.200062i \(0.0641145\pi\)
−0.979783 + 0.200062i \(0.935885\pi\)
\(104\) 122.844 + 212.772i 0.115825 + 0.200615i
\(105\) −406.654 + 609.274i −0.377956 + 0.566276i
\(106\) 603.662 1045.57i 0.553140 0.958066i
\(107\) 1368.79 + 790.270i 1.23669 + 0.714003i 0.968416 0.249340i \(-0.0802138\pi\)
0.268273 + 0.963343i \(0.413547\pi\)
\(108\) 1241.80 77.7626i 1.10641 0.0692843i
\(109\) 234.533 + 406.222i 0.206093 + 0.356964i 0.950480 0.310784i \(-0.100592\pi\)
−0.744387 + 0.667748i \(0.767258\pi\)
\(110\) −112.081 194.130i −0.0971501 0.168269i
\(111\) 989.574 866.137i 0.846182 0.740631i
\(112\) 1006.70 271.343i 0.849324 0.228924i
\(113\) −1733.74 + 1000.97i −1.44333 + 0.833306i −0.998070 0.0620958i \(-0.980222\pi\)
−0.445259 + 0.895402i \(0.646888\pi\)
\(114\) −2008.99 684.136i −1.65052 0.562063i
\(115\) 932.066i 0.755788i
\(116\) 1272.00 734.388i 1.01812 0.587813i
\(117\) −1843.06 246.283i −1.45634 0.194606i
\(118\) 1894.34i 1.47786i
\(119\) 408.906 110.215i 0.314994 0.0849026i
\(120\) −45.4855 + 133.570i −0.0346020 + 0.101610i
\(121\) 1279.59 0.961373
\(122\) 1360.31 2356.12i 1.00948 1.74847i
\(123\) 321.998 + 1627.04i 0.236045 + 1.19273i
\(124\) −105.895 + 61.1388i −0.0766911 + 0.0442776i
\(125\) 1461.93 1.04607
\(126\) 786.813 1897.07i 0.556309 1.34130i
\(127\) 522.832 0.365306 0.182653 0.983177i \(-0.441532\pi\)
0.182653 + 0.983177i \(0.441532\pi\)
\(128\) 393.130 226.974i 0.271470 0.156733i
\(129\) 1225.33 1072.49i 0.836316 0.731995i
\(130\) 1076.51 1864.57i 0.726278 1.25795i
\(131\) 2561.88 1.70864 0.854321 0.519746i \(-0.173973\pi\)
0.854321 + 0.519746i \(0.173973\pi\)
\(132\) 217.622 + 248.637i 0.143497 + 0.163947i
\(133\) −1300.38 + 1304.24i −0.847799 + 0.850313i
\(134\) 2950.07i 1.90184i
\(135\) −590.712 889.658i −0.376596 0.567182i
\(136\) 70.6479 40.7886i 0.0445441 0.0257176i
\(137\) 1.22835i 0.000766021i −1.00000 0.000383011i \(-0.999878\pi\)
1.00000 0.000383011i \(-0.000121916\pi\)
\(138\) −507.331 2563.52i −0.312948 1.58131i
\(139\) 1676.23 967.770i 1.02285 0.590541i 0.107920 0.994160i \(-0.465581\pi\)
0.914927 + 0.403619i \(0.132248\pi\)
\(140\) 885.357 + 882.739i 0.534474 + 0.532893i
\(141\) −71.4078 360.821i −0.0426498 0.215508i
\(142\) 190.866 + 330.590i 0.112797 + 0.195370i
\(143\) −246.901 427.645i −0.144384 0.250080i
\(144\) −201.325 + 1506.62i −0.116507 + 0.871885i
\(145\) −1091.74 630.317i −0.625271 0.361000i
\(146\) −2091.48 + 3622.55i −1.18556 + 2.05345i
\(147\) −1177.81 1337.65i −0.660842 0.750525i
\(148\) −1122.27 1943.83i −0.623311 1.07961i
\(149\) 2427.95i 1.33494i 0.744639 + 0.667468i \(0.232622\pi\)
−0.744639 + 0.667468i \(0.767378\pi\)
\(150\) −1403.92 + 277.842i −0.764199 + 0.151238i
\(151\) −1396.38 −0.752552 −0.376276 0.926508i \(-0.622796\pi\)
−0.376276 + 0.926508i \(0.622796\pi\)
\(152\) −177.384 + 307.239i −0.0946565 + 0.163950i
\(153\) −81.7749 + 611.964i −0.0432099 + 0.323362i
\(154\) 526.613 141.942i 0.275556 0.0742726i
\(155\) 90.8889 + 52.4747i 0.0470992 + 0.0271927i
\(156\) −1023.05 + 3004.22i −0.525059 + 1.54186i
\(157\) −635.157 366.708i −0.322873 0.186411i 0.329799 0.944051i \(-0.393019\pi\)
−0.652672 + 0.757640i \(0.726352\pi\)
\(158\) −2832.08 1635.10i −1.42600 0.823304i
\(159\) 1498.38 296.536i 0.747356 0.147905i
\(160\) −1712.34 988.618i −0.846075 0.488482i
\(161\) −2191.39 583.705i −1.07271 0.285729i
\(162\) 2108.92 + 2125.35i 1.02279 + 1.03076i
\(163\) −1504.67 + 2606.16i −0.723036 + 1.25233i 0.236742 + 0.971573i \(0.423920\pi\)
−0.959777 + 0.280762i \(0.909413\pi\)
\(164\) 2830.83 1.34787
\(165\) 91.4204 268.460i 0.0431337 0.126664i
\(166\) 87.9577i 0.0411256i
\(167\) 40.1692 + 69.5751i 0.0186131 + 0.0322388i 0.875182 0.483794i \(-0.160742\pi\)
−0.856569 + 0.516033i \(0.827408\pi\)
\(168\) −285.553 190.590i −0.131136 0.0875256i
\(169\) 1272.92 2204.77i 0.579392 1.00354i
\(170\) −619.105 357.440i −0.279313 0.161261i
\(171\) −1022.69 2482.62i −0.457353 1.11024i
\(172\) −1389.64 2406.94i −0.616043 1.06702i
\(173\) −1373.36 2378.73i −0.603553 1.04538i −0.992278 0.124031i \(-0.960418\pi\)
0.388725 0.921354i \(-0.372916\pi\)
\(174\) 3345.77 + 1139.36i 1.45772 + 0.496405i
\(175\) −319.669 + 1200.13i −0.138084 + 0.518406i
\(176\) −349.580 + 201.830i −0.149719 + 0.0864405i
\(177\) 1803.41 1578.45i 0.765833 0.670304i
\(178\) 2790.56i 1.17507i
\(179\) −2491.90 + 1438.70i −1.04052 + 0.600745i −0.919981 0.391964i \(-0.871796\pi\)
−0.120540 + 0.992708i \(0.538463\pi\)
\(180\) −1685.28 + 694.237i −0.697851 + 0.287474i
\(181\) 320.544i 0.131634i 0.997832 + 0.0658172i \(0.0209654\pi\)
−0.997832 + 0.0658172i \(0.979035\pi\)
\(182\) 3709.65 + 3698.68i 1.51087 + 1.50640i
\(183\) 3376.50 668.223i 1.36392 0.269926i
\(184\) −436.839 −0.175023
\(185\) −963.232 + 1668.37i −0.382801 + 0.663031i
\(186\) −278.540 94.8531i −0.109804 0.0373923i
\(187\) −141.994 + 81.9801i −0.0555273 + 0.0320587i
\(188\) −627.780 −0.243540
\(189\) 2461.62 831.684i 0.947389 0.320085i
\(190\) 3108.93 1.18708
\(191\) 818.447 472.531i 0.310056 0.179011i −0.336895 0.941542i \(-0.609377\pi\)
0.646952 + 0.762531i \(0.276044\pi\)
\(192\) 3032.38 + 1032.63i 1.13981 + 0.388146i
\(193\) −393.384 + 681.362i −0.146717 + 0.254122i −0.930012 0.367528i \(-0.880204\pi\)
0.783295 + 0.621650i \(0.213537\pi\)
\(194\) −4666.96 −1.72716
\(195\) 2672.07 528.813i 0.981287 0.194201i
\(196\) −2629.87 + 1528.76i −0.958409 + 0.557129i
\(197\) 5047.70i 1.82555i −0.408462 0.912775i \(-0.633935\pi\)
0.408462 0.912775i \(-0.366065\pi\)
\(198\) −105.314 + 788.123i −0.0377999 + 0.282876i
\(199\) 1052.30 607.546i 0.374852 0.216421i −0.300724 0.953711i \(-0.597228\pi\)
0.675576 + 0.737290i \(0.263895\pi\)
\(200\) 239.236i 0.0845829i
\(201\) −2808.46 + 2458.14i −0.985541 + 0.862606i
\(202\) −5485.09 + 3166.82i −1.91054 + 1.10305i
\(203\) 2165.65 2172.07i 0.748763 0.750984i
\(204\) 997.510 + 339.689i 0.342351 + 0.116583i
\(205\) −1214.84 2104.16i −0.413892 0.716882i
\(206\) 858.937 + 1487.72i 0.290509 + 0.503177i
\(207\) 2017.74 2619.03i 0.677500 0.879396i
\(208\) −3357.63 1938.53i −1.11928 0.646215i
\(209\) 356.522 617.514i 0.117996 0.204375i
\(210\) −195.236 + 3002.21i −0.0641550 + 0.986534i
\(211\) 312.466 + 541.206i 0.101948 + 0.176579i 0.912487 0.409105i \(-0.134159\pi\)
−0.810539 + 0.585684i \(0.800826\pi\)
\(212\) 2606.99i 0.844570i
\(213\) −155.682 + 457.168i −0.0500807 + 0.147064i
\(214\) 6491.50 2.07360
\(215\) −1192.72 + 2065.85i −0.378338 + 0.655300i
\(216\) 416.963 276.854i 0.131346 0.0872107i
\(217\) −180.293 + 180.828i −0.0564014 + 0.0565687i
\(218\) 1668.41 + 963.259i 0.518345 + 0.299267i
\(219\) −5191.38 + 1027.40i −1.60183 + 0.317009i
\(220\) −419.188 242.018i −0.128462 0.0741676i
\(221\) −1363.81 787.399i −0.415113 0.239666i
\(222\) 1741.13 5112.91i 0.526384 1.54575i
\(223\) 2295.49 + 1325.30i 0.689316 + 0.397977i 0.803356 0.595499i \(-0.203046\pi\)
−0.114040 + 0.993476i \(0.536379\pi\)
\(224\) 3396.70 3406.78i 1.01318 1.01618i
\(225\) −1434.32 1105.02i −0.424984 0.327414i
\(226\) −4111.14 + 7120.70i −1.21004 + 2.09585i
\(227\) 817.772 0.239108 0.119554 0.992828i \(-0.461854\pi\)
0.119554 + 0.992828i \(0.461854\pi\)
\(228\) −4495.49 + 889.676i −1.30579 + 0.258422i
\(229\) 702.979i 0.202857i 0.994843 + 0.101428i \(0.0323412\pi\)
−0.994843 + 0.101428i \(0.967659\pi\)
\(230\) 1914.06 + 3315.25i 0.548737 + 0.950441i
\(231\) 573.928 + 383.062i 0.163470 + 0.109107i
\(232\) 295.416 511.675i 0.0835991 0.144798i
\(233\) −3559.17 2054.89i −1.00073 0.577769i −0.0922626 0.995735i \(-0.529410\pi\)
−0.908463 + 0.417966i \(0.862743\pi\)
\(234\) −7061.33 + 2908.86i −1.97271 + 0.812641i
\(235\) 269.408 + 466.629i 0.0747841 + 0.129530i
\(236\) −2045.23 3542.45i −0.564125 0.977092i
\(237\) −803.211 4058.59i −0.220144 1.11238i
\(238\) 1228.10 1231.74i 0.334478 0.335470i
\(239\) −2082.70 + 1202.45i −0.563677 + 0.325439i −0.754620 0.656162i \(-0.772179\pi\)
0.190943 + 0.981601i \(0.438845\pi\)
\(240\) −432.280 2184.29i −0.116265 0.587481i
\(241\) 726.363i 0.194146i 0.995277 + 0.0970729i \(0.0309480\pi\)
−0.995277 + 0.0970729i \(0.969052\pi\)
\(242\) 4551.35 2627.72i 1.20897 0.698002i
\(243\) −266.080 + 3778.64i −0.0702430 + 0.997530i
\(244\) 5874.66i 1.54134i
\(245\) 2264.92 + 1298.73i 0.590615 + 0.338664i
\(246\) 4486.55 + 5125.95i 1.16281 + 1.32853i
\(247\) 6848.60 1.76423
\(248\) −24.5937 + 42.5976i −0.00629720 + 0.0109071i
\(249\) 83.7357 73.2906i 0.0213114 0.0186530i
\(250\) 5199.92 3002.17i 1.31549 0.759496i
\(251\) −529.985 −0.133276 −0.0666382 0.997777i \(-0.521227\pi\)
−0.0666382 + 0.997777i \(0.521227\pi\)
\(252\) −576.826 4397.05i −0.144193 1.09916i
\(253\) 877.994 0.218178
\(254\) 1859.66 1073.67i 0.459390 0.265229i
\(255\) −175.585 887.224i −0.0431199 0.217883i
\(256\) −1533.75 + 2656.53i −0.374450 + 0.648567i
\(257\) 1948.86 0.473021 0.236511 0.971629i \(-0.423996\pi\)
0.236511 + 0.971629i \(0.423996\pi\)
\(258\) 2155.95 6331.03i 0.520246 1.52772i
\(259\) −3319.30 3309.48i −0.796337 0.793982i
\(260\) 4649.05i 1.10893i
\(261\) 1703.19 + 4134.54i 0.403927 + 0.980543i
\(262\) 9112.31 5260.99i 2.14870 1.24055i
\(263\) 506.885i 0.118844i −0.998233 0.0594218i \(-0.981074\pi\)
0.998233 0.0594218i \(-0.0189257\pi\)
\(264\) 125.821 + 42.8467i 0.0293324 + 0.00998876i
\(265\) −1937.78 + 1118.78i −0.449195 + 0.259343i
\(266\) −1946.96 + 7309.45i −0.448782 + 1.68485i
\(267\) −2656.62 + 2325.23i −0.608922 + 0.532966i
\(268\) 3185.06 + 5516.69i 0.725965 + 1.25741i
\(269\) 3851.69 + 6671.33i 0.873018 + 1.51211i 0.858859 + 0.512213i \(0.171174\pi\)
0.0141598 + 0.999900i \(0.495493\pi\)
\(270\) −3928.07 1951.34i −0.885388 0.439833i
\(271\) −4585.66 2647.53i −1.02789 0.593455i −0.111513 0.993763i \(-0.535570\pi\)
−0.916380 + 0.400308i \(0.868903\pi\)
\(272\) −643.662 + 1114.85i −0.143484 + 0.248522i
\(273\) −430.081 + 6613.51i −0.0953469 + 1.46618i
\(274\) −2.52250 4.36910i −0.000556167 0.000963310i
\(275\) 480.837i 0.105438i
\(276\) −3716.44 4246.09i −0.810520 0.926032i
\(277\) 4216.97 0.914705 0.457353 0.889285i \(-0.348798\pi\)
0.457353 + 0.889285i \(0.348798\pi\)
\(278\) 3974.77 6884.50i 0.857521 1.48527i
\(279\) −141.793 344.206i −0.0304263 0.0738605i
\(280\) 485.976 + 129.446i 0.103724 + 0.0276281i
\(281\) −7104.37 4101.71i −1.50823 0.870774i −0.999954 0.00957745i \(-0.996951\pi\)
−0.508271 0.861197i \(-0.669715\pi\)
\(282\) −994.960 1136.76i −0.210103 0.240046i
\(283\) 1358.81 + 784.511i 0.285417 + 0.164786i 0.635873 0.771794i \(-0.280640\pi\)
−0.350456 + 0.936579i \(0.613973\pi\)
\(284\) 713.847 + 412.140i 0.149152 + 0.0861127i
\(285\) 2590.51 + 2959.70i 0.538416 + 0.615149i
\(286\) −1756.40 1014.06i −0.363140 0.209659i
\(287\) 5707.90 1538.49i 1.17396 0.316426i
\(288\) 2671.36 + 6484.80i 0.546568 + 1.32681i
\(289\) 2195.06 3801.95i 0.446785 0.773854i
\(290\) −5177.61 −1.04841
\(291\) −3888.74 4442.95i −0.783374 0.895018i
\(292\) 9032.32i 1.81019i
\(293\) 227.022 + 393.213i 0.0452653 + 0.0784019i 0.887770 0.460287i \(-0.152253\pi\)
−0.842505 + 0.538688i \(0.818920\pi\)
\(294\) −6936.27 2339.15i −1.37596 0.464021i
\(295\) −1755.40 + 3040.45i −0.346452 + 0.600073i
\(296\) −781.927 451.446i −0.153542 0.0886478i
\(297\) −838.046 + 556.443i −0.163732 + 0.108714i
\(298\) 4985.97 + 8635.94i 0.969226 + 1.67875i
\(299\) 4216.45 + 7303.11i 0.815531 + 1.41254i
\(300\) −2325.39 + 2035.32i −0.447522 + 0.391698i
\(301\) −4110.10 4097.95i −0.787051 0.784723i
\(302\) −4966.75 + 2867.56i −0.946372 + 0.546388i
\(303\) −7585.25 2583.06i −1.43816 0.489745i
\(304\) 5598.41i 1.05622i
\(305\) −4366.64 + 2521.08i −0.819780 + 0.473300i
\(306\) 965.846 + 2344.62i 0.180437 + 0.438016i
\(307\) 74.2025i 0.0137947i −0.999976 0.00689733i \(-0.997804\pi\)
0.999976 0.00689733i \(-0.00219550\pi\)
\(308\) 831.528 833.995i 0.153834 0.154290i
\(309\) −700.603 + 2057.35i −0.128983 + 0.378765i
\(310\) 431.042 0.0789728
\(311\) 3212.96 5565.00i 0.585820 1.01467i −0.408953 0.912556i \(-0.634106\pi\)
0.994773 0.102114i \(-0.0325608\pi\)
\(312\) 247.843 + 1252.34i 0.0449723 + 0.227243i
\(313\) 6681.09 3857.33i 1.20651 0.696578i 0.244514 0.969646i \(-0.421372\pi\)
0.961995 + 0.273067i \(0.0880382\pi\)
\(314\) −3012.24 −0.541372
\(315\) −3020.78 + 2315.72i −0.540323 + 0.414210i
\(316\) −7061.41 −1.25707
\(317\) −265.053 + 153.028i −0.0469617 + 0.0271133i −0.523297 0.852150i \(-0.675298\pi\)
0.476335 + 0.879264i \(0.341965\pi\)
\(318\) 4720.63 4131.79i 0.832452 0.728613i
\(319\) −593.751 + 1028.41i −0.104212 + 0.180501i
\(320\) −4692.62 −0.819767
\(321\) 5409.03 + 6179.90i 0.940507 + 1.07454i
\(322\) −8993.22 + 2424.01i −1.55644 + 0.419517i
\(323\) 2273.98i 0.391727i
\(324\) 6238.38 + 1697.54i 1.06968 + 0.291074i
\(325\) 3999.58 2309.16i 0.682636 0.394120i
\(326\) 12359.8i 2.09983i
\(327\) 473.181 + 2390.96i 0.0800213 + 0.404344i
\(328\) 986.172 569.367i 0.166013 0.0958476i
\(329\) −1265.81 + 341.184i −0.212117 + 0.0571734i
\(330\) −226.129 1142.62i −0.0377212 0.190603i
\(331\) 2049.56 + 3549.94i 0.340344 + 0.589493i 0.984497 0.175404i \(-0.0561231\pi\)
−0.644152 + 0.764897i \(0.722790\pi\)
\(332\) −94.9642 164.483i −0.0156983 0.0271903i
\(333\) 6318.29 2602.77i 1.03976 0.428321i
\(334\) 285.755 + 164.981i 0.0468138 + 0.0270280i
\(335\) 2733.70 4734.91i 0.445845 0.772227i
\(336\) 5406.24 + 351.571i 0.877781 + 0.0570827i
\(337\) −3390.68 5872.83i −0.548078 0.949298i −0.998406 0.0564355i \(-0.982026\pi\)
0.450329 0.892863i \(-0.351307\pi\)
\(338\) 10456.2i 1.68266i
\(339\) −10204.5 + 2019.51i −1.63490 + 0.323554i
\(340\) −1543.65 −0.246224
\(341\) 49.4305 85.6161i 0.00784989 0.0135964i
\(342\) −8735.83 6730.21i −1.38123 1.06412i
\(343\) −4471.86 + 4511.77i −0.703959 + 0.710241i
\(344\) −968.216 559.000i −0.151752 0.0876141i
\(345\) −1561.23 + 4584.62i −0.243634 + 0.715442i
\(346\) −9769.78 5640.59i −1.51800 0.876416i
\(347\) −8450.67 4878.99i −1.30736 0.754807i −0.325709 0.945470i \(-0.605603\pi\)
−0.981656 + 0.190663i \(0.938936\pi\)
\(348\) 7486.78 1481.66i 1.15326 0.228234i
\(349\) −2576.08 1487.30i −0.395113 0.228119i 0.289260 0.957251i \(-0.406591\pi\)
−0.684373 + 0.729132i \(0.739924\pi\)
\(350\) 1327.52 + 4925.18i 0.202739 + 0.752176i
\(351\) −8653.07 4298.58i −1.31586 0.653679i
\(352\) −931.265 + 1613.00i −0.141013 + 0.244242i
\(353\) 9788.58 1.47590 0.737951 0.674854i \(-0.235793\pi\)
0.737951 + 0.674854i \(0.235793\pi\)
\(354\) 3173.05 9317.81i 0.476401 1.39897i
\(355\) 707.470i 0.105771i
\(356\) 3012.85 + 5218.41i 0.448542 + 0.776897i
\(357\) 2195.93 + 142.803i 0.325548 + 0.0211706i
\(358\) −5908.94 + 10234.6i −0.872338 + 1.51093i
\(359\) −3444.96 1988.95i −0.506456 0.292403i 0.224919 0.974377i \(-0.427788\pi\)
−0.731376 + 0.681975i \(0.761121\pi\)
\(360\) −447.465 + 580.811i −0.0655097 + 0.0850317i
\(361\) 1515.14 + 2624.30i 0.220898 + 0.382606i
\(362\) 658.259 + 1140.14i 0.0955727 + 0.165537i
\(363\) 6294.00 + 2143.34i 0.910053 + 0.309906i
\(364\) 10930.4 + 2911.46i 1.57393 + 0.419236i
\(365\) 6713.72 3876.17i 0.962773 0.555858i
\(366\) 10637.6 9310.68i 1.51922 1.32972i
\(367\) 3534.28i 0.502692i 0.967897 + 0.251346i \(0.0808732\pi\)
−0.967897 + 0.251346i \(0.919127\pi\)
\(368\) 5969.95 3446.75i 0.845667 0.488246i
\(369\) −1141.49 + 8542.39i −0.161040 + 1.20515i
\(370\) 7912.26i 1.11173i
\(371\) −1416.84 5256.56i −0.198271 0.735599i
\(372\) −623.284 + 123.350i −0.0868704 + 0.0171920i
\(373\) 4725.85 0.656019 0.328010 0.944674i \(-0.393622\pi\)
0.328010 + 0.944674i \(0.393622\pi\)
\(374\) −336.704 + 583.189i −0.0465523 + 0.0806309i
\(375\) 7190.89 + 2448.76i 0.990229 + 0.337209i
\(376\) −218.698 + 126.266i −0.0299960 + 0.0173182i
\(377\) −11405.6 −1.55815
\(378\) 7047.78 8013.32i 0.958992 1.09037i
\(379\) 5183.61 0.702545 0.351272 0.936273i \(-0.385749\pi\)
0.351272 + 0.936273i \(0.385749\pi\)
\(380\) 5813.76 3356.58i 0.784841 0.453128i
\(381\) 2571.69 + 875.755i 0.345805 + 0.117759i
\(382\) 1940.75 3361.48i 0.259941 0.450231i
\(383\) 6894.41 0.919811 0.459906 0.887968i \(-0.347883\pi\)
0.459906 + 0.887968i \(0.347883\pi\)
\(384\) 2313.90 457.931i 0.307502 0.0608559i
\(385\) −976.754 260.171i −0.129299 0.0344404i
\(386\) 3231.37i 0.426094i
\(387\) 7823.58 3222.86i 1.02764 0.423326i
\(388\) −8727.32 + 5038.72i −1.14191 + 0.659284i
\(389\) 2814.17i 0.366797i −0.983039 0.183398i \(-0.941290\pi\)
0.983039 0.183398i \(-0.0587098\pi\)
\(390\) 8418.30 7368.22i 1.09302 0.956677i
\(391\) 2424.90 1400.02i 0.313638 0.181079i
\(392\) −608.684 + 1061.52i −0.0784265 + 0.136773i
\(393\) 12601.3 + 4291.20i 1.61743 + 0.550795i
\(394\) −10365.8 17954.1i −1.32544 2.29572i
\(395\) 3030.36 + 5248.75i 0.386011 + 0.668590i
\(396\) 653.962 + 1587.51i 0.0829869 + 0.201453i
\(397\) −5248.35 3030.14i −0.663494 0.383068i 0.130113 0.991499i \(-0.458466\pi\)
−0.793607 + 0.608431i \(0.791799\pi\)
\(398\) 2495.28 4321.95i 0.314264 0.544320i
\(399\) −8580.90 + 4237.08i −1.07665 + 0.531627i
\(400\) −1887.63 3269.47i −0.235954 0.408684i
\(401\) 12064.2i 1.50239i 0.660080 + 0.751196i \(0.270523\pi\)
−0.660080 + 0.751196i \(0.729477\pi\)
\(402\) −4941.43 + 14510.7i −0.613075 + 1.80032i
\(403\) 949.535 0.117369
\(404\) −6838.15 + 11844.0i −0.842106 + 1.45857i
\(405\) −1415.38 5365.48i −0.173656 0.658303i
\(406\) 3242.47 12173.1i 0.396357 1.48804i
\(407\) 1571.58 + 907.352i 0.191401 + 0.110506i
\(408\) 415.822 82.2929i 0.0504566 0.00998555i
\(409\) 292.292 + 168.755i 0.0353372 + 0.0204019i 0.517565 0.855644i \(-0.326839\pi\)
−0.482227 + 0.876046i \(0.660172\pi\)
\(410\) −8642.07 4989.50i −1.04098 0.601010i
\(411\) 2.05751 6.04196i 0.000246933 0.000725129i
\(412\) 3212.46 + 1854.71i 0.384142 + 0.221784i
\(413\) −6049.11 6031.23i −0.720720 0.718589i
\(414\) 1798.51 13459.2i 0.213507 1.59778i
\(415\) −81.5067 + 141.174i −0.00964098 + 0.0166987i
\(416\) −17889.1 −2.10838
\(417\) 9866.01 1952.52i 1.15861 0.229294i
\(418\) 2928.57i 0.342682i
\(419\) 4094.25 + 7091.45i 0.477368 + 0.826826i 0.999664 0.0259386i \(-0.00825744\pi\)
−0.522295 + 0.852765i \(0.674924\pi\)
\(420\) 2876.26 + 5824.98i 0.334160 + 0.676738i
\(421\) 958.165 1659.59i 0.110922 0.192122i −0.805220 0.592976i \(-0.797953\pi\)
0.916142 + 0.400853i \(0.131286\pi\)
\(422\) 2222.81 + 1283.34i 0.256409 + 0.148038i
\(423\) 253.143 1894.40i 0.0290975 0.217752i
\(424\) −524.345 908.193i −0.0600577 0.104023i
\(425\) −766.724 1328.01i −0.0875096 0.151571i
\(426\) 385.082 + 1945.80i 0.0437964 + 0.221301i
\(427\) −3192.74 11845.3i −0.361844 1.34247i
\(428\) 12139.2 7008.59i 1.37096 0.791526i
\(429\) −498.135 2517.05i −0.0560610 0.283274i
\(430\) 9797.31i 1.09876i
\(431\) −8604.78 + 4967.97i −0.961665 + 0.555218i −0.896685 0.442669i \(-0.854032\pi\)
−0.0649800 + 0.997887i \(0.520698\pi\)
\(432\) −3513.89 + 7073.48i −0.391347 + 0.787785i
\(433\) 4551.00i 0.505098i −0.967584 0.252549i \(-0.918731\pi\)
0.967584 0.252549i \(-0.0812688\pi\)
\(434\) −269.940 + 1013.43i −0.0298561 + 0.112088i
\(435\) −4314.23 4929.08i −0.475521 0.543290i
\(436\) 4159.96 0.456940
\(437\) −6088.49 + 10545.6i −0.666481 + 1.15438i
\(438\) −16355.3 + 14315.2i −1.78422 + 1.56166i
\(439\) −6424.18 + 3709.00i −0.698427 + 0.403237i −0.806761 0.590878i \(-0.798782\pi\)
0.108335 + 0.994114i \(0.465448\pi\)
\(440\) −194.709 −0.0210963
\(441\) −3552.77 8552.42i −0.383627 0.923488i
\(442\) −6467.91 −0.696035
\(443\) −5479.67 + 3163.69i −0.587691 + 0.339303i −0.764184 0.644999i \(-0.776858\pi\)
0.176493 + 0.984302i \(0.443525\pi\)
\(444\) −2264.24 11441.1i −0.242018 1.22290i
\(445\) 2585.90 4478.91i 0.275468 0.477125i
\(446\) 10886.4 1.15580
\(447\) −4066.87 + 11942.5i −0.430327 + 1.26367i
\(448\) 2938.75 11032.9i 0.309917 1.16352i
\(449\) 14396.4i 1.51316i 0.653904 + 0.756578i \(0.273130\pi\)
−0.653904 + 0.756578i \(0.726870\pi\)
\(450\) −7370.96 984.960i −0.772157 0.103181i
\(451\) −1982.09 + 1144.36i −0.206946 + 0.119481i
\(452\) 17754.5i 1.84757i
\(453\) −6868.45 2338.96i −0.712380 0.242591i
\(454\) 2908.72 1679.35i 0.300690 0.173603i
\(455\) −2526.65 9374.03i −0.260332 0.965849i
\(456\) −1387.15 + 1214.11i −0.142454 + 0.124685i
\(457\) −2573.61 4457.63i −0.263432 0.456278i 0.703719 0.710478i \(-0.251521\pi\)
−0.967152 + 0.254200i \(0.918188\pi\)
\(458\) 1443.62 + 2500.42i 0.147283 + 0.255102i
\(459\) −1427.28 + 2873.13i −0.145141 + 0.292171i
\(460\) 7158.68 + 4133.06i 0.725598 + 0.418924i
\(461\) 446.618 773.565i 0.0451217 0.0781530i −0.842583 0.538567i \(-0.818966\pi\)
0.887704 + 0.460414i \(0.152299\pi\)
\(462\) 2828.04 + 183.909i 0.284789 + 0.0185200i
\(463\) 5520.47 + 9561.73i 0.554121 + 0.959765i 0.997971 + 0.0636644i \(0.0202787\pi\)
−0.443851 + 0.896101i \(0.646388\pi\)
\(464\) 9323.59i 0.932838i
\(465\) 359.165 + 410.352i 0.0358191 + 0.0409239i
\(466\) −16879.4 −1.67795
\(467\) 4900.18 8487.36i 0.485553 0.841003i −0.514309 0.857605i \(-0.671952\pi\)
0.999862 + 0.0166023i \(0.00528493\pi\)
\(468\) −10064.3 + 13063.4i −0.994061 + 1.29029i
\(469\) 9420.34 + 9392.49i 0.927486 + 0.924744i
\(470\) 1916.51 + 1106.50i 0.188089 + 0.108593i
\(471\) −2509.95 2867.66i −0.245546 0.280541i
\(472\) −1424.99 822.718i −0.138963 0.0802302i
\(473\) 1946.00 + 1123.52i 0.189169 + 0.109217i
\(474\) −11191.5 12786.5i −1.08448 1.23904i
\(475\) 5775.33 + 3334.39i 0.557875 + 0.322089i
\(476\) 966.711 3629.30i 0.0930864 0.349472i
\(477\) 7866.92 + 1051.23i 0.755139 + 0.100907i
\(478\) −4938.63 + 8553.95i −0.472568 + 0.818512i
\(479\) 138.670 0.0132275 0.00661377 0.999978i \(-0.497895\pi\)
0.00661377 + 0.999978i \(0.497895\pi\)
\(480\) −6766.63 7730.98i −0.643444 0.735145i
\(481\) 17429.8i 1.65224i
\(482\) 1491.64 + 2583.59i 0.140959 + 0.244148i
\(483\) −9801.24 6541.74i −0.923337 0.616273i
\(484\) 5674.08 9827.80i 0.532878 0.922971i
\(485\) 7490.56 + 4324.68i 0.701296 + 0.404894i
\(486\) 6813.28 + 13986.6i 0.635919 + 1.30544i
\(487\) −9148.40 15845.5i −0.851239 1.47439i −0.880091 0.474806i \(-0.842518\pi\)
0.0288514 0.999584i \(-0.490815\pi\)
\(488\) −1181.57 2046.55i −0.109605 0.189842i
\(489\) −11766.5 + 10298.8i −1.08814 + 0.952406i
\(490\) 10723.1 31.7579i 0.988614 0.00292791i
\(491\) 5097.03 2942.77i 0.468484 0.270479i −0.247121 0.968985i \(-0.579484\pi\)
0.715605 + 0.698505i \(0.246151\pi\)
\(492\) 13924.2 + 4741.70i 1.27592 + 0.434497i
\(493\) 3787.09i 0.345967i
\(494\) 24359.7 14064.1i 2.21861 1.28092i
\(495\) 899.352 1167.36i 0.0816623 0.105998i
\(496\) 776.201i 0.0702670i
\(497\) 1663.34 + 443.053i 0.150123 + 0.0399872i
\(498\) 147.331 432.644i 0.0132572 0.0389302i
\(499\) 534.725 0.0479711 0.0239856 0.999712i \(-0.492364\pi\)
0.0239856 + 0.999712i \(0.492364\pi\)
\(500\) 6482.63 11228.3i 0.579824 1.00429i
\(501\) 81.0433 + 409.508i 0.00722704 + 0.0365179i
\(502\) −1885.10 + 1088.36i −0.167602 + 0.0967649i
\(503\) −10504.5 −0.931155 −0.465578 0.885007i \(-0.654153\pi\)
−0.465578 + 0.885007i \(0.654153\pi\)
\(504\) −1085.33 1415.77i −0.0959213 0.125126i
\(505\) 11738.2 1.03434
\(506\) 3122.93 1803.02i 0.274369 0.158407i
\(507\) 9954.25 8712.57i 0.871960 0.763193i
\(508\) 2318.40 4015.58i 0.202485 0.350714i
\(509\) 2817.87 0.245383 0.122691 0.992445i \(-0.460847\pi\)
0.122691 + 0.992445i \(0.460847\pi\)
\(510\) −2446.51 2795.18i −0.212419 0.242692i
\(511\) 4908.85 + 18212.2i 0.424961 + 1.57663i
\(512\) 16230.2i 1.40094i
\(513\) −871.962 13924.5i −0.0750449 1.19840i
\(514\) 6931.87 4002.12i 0.594848 0.343435i
\(515\) 3183.76i 0.272414i
\(516\) −2803.68 14166.8i −0.239196 1.20864i
\(517\) 439.558 253.779i 0.0373921 0.0215884i
\(518\) −18602.6 4955.05i −1.57790 0.420294i
\(519\) −2770.82 14000.8i −0.234346 1.18414i
\(520\) −935.065 1619.58i −0.0788564 0.136583i
\(521\) −5520.76 9562.24i −0.464240 0.804087i 0.534927 0.844898i \(-0.320339\pi\)
−0.999167 + 0.0408113i \(0.987006\pi\)
\(522\) 14548.6 + 11208.5i 1.21988 + 0.939812i
\(523\) −4094.57 2364.00i −0.342338 0.197649i 0.318967 0.947766i \(-0.396664\pi\)
−0.661306 + 0.750117i \(0.729997\pi\)
\(524\) 11360.1 19676.3i 0.947080 1.64039i
\(525\) −3582.61 + 5367.69i −0.297825 + 0.446219i
\(526\) −1040.92 1802.93i −0.0862860 0.149452i
\(527\) 315.280i 0.0260604i
\(528\) −2057.58 + 407.202i −0.169592 + 0.0335629i
\(529\) −2826.93 −0.232344
\(530\) −4594.97 + 7958.72i −0.376590 + 0.652273i
\(531\) 11514.5 4743.30i 0.941029 0.387649i
\(532\) 4250.83 + 15770.9i 0.346423 + 1.28525i
\(533\) −19037.5 10991.3i −1.54710 0.893218i
\(534\) −4674.25 + 13726.1i −0.378792 + 1.11234i
\(535\) −10419.0 6015.40i −0.841966 0.486109i
\(536\) 2219.15 + 1281.23i 0.178830 + 0.103247i
\(537\) −14666.9 + 2902.64i −1.17863 + 0.233256i
\(538\) 27400.1 + 15819.5i 2.19573 + 1.26770i
\(539\) 1223.38 2133.53i 0.0977641 0.170496i
\(540\) −9452.36 + 591.915i −0.753268 + 0.0471703i
\(541\) 11254.7 19493.8i 0.894415 1.54917i 0.0598879 0.998205i \(-0.480926\pi\)
0.834527 0.550967i \(-0.185741\pi\)
\(542\) −21747.6 −1.72350
\(543\) −536.917 + 1576.68i −0.0424334 + 0.124607i
\(544\) 5939.84i 0.468140i
\(545\) −1785.22 3092.10i −0.140313 0.243029i
\(546\) 12051.6 + 24406.7i 0.944614 + 1.91302i
\(547\) −1219.31 + 2111.91i −0.0953088 + 0.165080i −0.909737 0.415184i \(-0.863717\pi\)
0.814429 + 0.580264i \(0.197051\pi\)
\(548\) −9.43426 5.44687i −0.000735422 0.000424596i
\(549\) 17727.5 + 2368.88i 1.37813 + 0.184155i
\(550\) −987.432 1710.28i −0.0765532 0.132594i
\(551\) −8234.79 14263.1i −0.636686 1.10277i
\(552\) −2148.71 731.714i −0.165680 0.0564200i
\(553\) −14238.2 + 3837.71i −1.09488 + 0.295110i
\(554\) 14999.3 8659.85i 1.15029 0.664119i
\(555\) −7532.47 + 6592.88i −0.576100 + 0.504238i
\(556\) 17165.5i 1.30932i
\(557\) 9826.37 5673.25i 0.747498 0.431568i −0.0772911 0.997009i \(-0.524627\pi\)
0.824789 + 0.565440i \(0.191294\pi\)
\(558\) −1211.19 933.121i −0.0918887 0.0707924i
\(559\) 21582.3i 1.63298i
\(560\) −7662.84 + 2065.42i −0.578239 + 0.155857i
\(561\) −835.753 + 165.399i −0.0628976 + 0.0124477i
\(562\) −33692.6 −2.52889
\(563\) 8427.86 14597.5i 0.630891 1.09274i −0.356478 0.934304i \(-0.616023\pi\)
0.987370 0.158432i \(-0.0506440\pi\)
\(564\) −3087.90 1051.54i −0.230539 0.0785071i
\(565\) 13196.9 7619.23i 0.982651 0.567334i
\(566\) 6444.19 0.478568
\(567\) 13501.2 + 32.4028i 0.999997 + 0.00239999i
\(568\) 331.576 0.0244940
\(569\) −10320.6 + 5958.57i −0.760387 + 0.439009i −0.829435 0.558604i \(-0.811337\pi\)
0.0690479 + 0.997613i \(0.478004\pi\)
\(570\) 15292.1 + 5207.52i 1.12371 + 0.382665i
\(571\) −10204.7 + 17675.0i −0.747902 + 1.29540i 0.200924 + 0.979607i \(0.435606\pi\)
−0.948826 + 0.315798i \(0.897728\pi\)
\(572\) −4379.34 −0.320121
\(573\) 4817.25 953.353i 0.351210 0.0695059i
\(574\) 17143.0 17193.8i 1.24657 1.25027i
\(575\) 8211.49i 0.595552i
\(576\) 13185.9 + 10158.6i 0.953839 + 0.734852i
\(577\) −3374.84 + 1948.46i −0.243495 + 0.140582i −0.616782 0.787134i \(-0.711564\pi\)
0.373287 + 0.927716i \(0.378231\pi\)
\(578\) 18030.8i 1.29755i
\(579\) −3076.26 + 2692.53i −0.220803 + 0.193261i
\(580\) −9682.23 + 5590.04i −0.693160 + 0.400196i
\(581\) −280.872 280.041i −0.0200560 0.0199967i
\(582\) −22955.7 7817.26i −1.63496 0.556763i
\(583\) 1053.87 + 1825.36i 0.0748660 + 0.129672i
\(584\) 1816.67 + 3146.57i 0.128724 + 0.222956i
\(585\) 14029.1 + 1874.66i 0.991506 + 0.132492i
\(586\) 1614.98 + 932.410i 0.113847 + 0.0657295i
\(587\) 8643.77 14971.5i 0.607780 1.05271i −0.383826 0.923406i \(-0.625394\pi\)
0.991606 0.129300i \(-0.0412730\pi\)
\(588\) −15496.5 + 3114.53i −1.08684 + 0.218437i
\(589\) 685.557 + 1187.42i 0.0479591 + 0.0830675i
\(590\) 14419.4i 1.00616i
\(591\) 8455.00 24828.5i 0.588481 1.72810i
\(592\) 14248.0 0.989173
\(593\) 985.742 1707.36i 0.0682623 0.118234i −0.829874 0.557951i \(-0.811588\pi\)
0.898136 + 0.439717i \(0.144921\pi\)
\(594\) −1838.14 + 3700.19i −0.126969 + 0.255590i
\(595\) −3112.52 + 838.939i −0.214455 + 0.0578036i
\(596\) 18647.7 + 10766.3i 1.28161 + 0.739939i
\(597\) 6193.68 1225.75i 0.424607 0.0840314i
\(598\) 29994.9 + 17317.6i 2.05114 + 1.18423i
\(599\) 12120.3 + 6997.65i 0.826747 + 0.477323i 0.852738 0.522339i \(-0.174941\pi\)
−0.0259904 + 0.999662i \(0.508274\pi\)
\(600\) −400.726 + 1176.75i −0.0272660 + 0.0800676i
\(601\) −17296.5 9986.12i −1.17394 0.677774i −0.219335 0.975650i \(-0.570389\pi\)
−0.954605 + 0.297875i \(0.903722\pi\)
\(602\) −23034.6 6135.56i −1.55950 0.415393i
\(603\) −17931.6 + 7386.79i −1.21100 + 0.498861i
\(604\) −6191.95 + 10724.8i −0.417131 + 0.722492i
\(605\) −9740.00 −0.654525
\(606\) −32284.4 + 6389.21i −2.16413 + 0.428290i
\(607\) 12997.8i 0.869136i −0.900639 0.434568i \(-0.856901\pi\)
0.900639 0.434568i \(-0.143099\pi\)
\(608\) −12915.8 22370.8i −0.861522 1.49220i
\(609\) 14290.6 7056.42i 0.950878 0.469525i
\(610\) −10354.4 + 17934.4i −0.687276 + 1.19040i
\(611\) 4221.84 + 2437.48i 0.279538 + 0.161391i
\(612\) 4337.53 + 3341.70i 0.286494 + 0.220719i
\(613\) −3450.80 5976.96i −0.227368 0.393812i 0.729659 0.683811i \(-0.239679\pi\)
−0.957027 + 0.289998i \(0.906345\pi\)
\(614\) −152.380 263.930i −0.0100156 0.0173475i
\(615\) −2450.99 12384.7i −0.160705 0.812034i
\(616\) 121.936 457.783i 0.00797557 0.0299425i
\(617\) −8207.48 + 4738.59i −0.535528 + 0.309187i −0.743265 0.668998i \(-0.766724\pi\)
0.207737 + 0.978185i \(0.433390\pi\)
\(618\) 1732.95 + 8756.50i 0.112798 + 0.569964i
\(619\) 15581.4i 1.01174i 0.862609 + 0.505871i \(0.168829\pi\)
−0.862609 + 0.505871i \(0.831171\pi\)
\(620\) 806.058 465.378i 0.0522130 0.0301452i
\(621\) 14311.7 9502.65i 0.924814 0.614055i
\(622\) 26392.1i 1.70133i
\(623\) 8911.00 + 8884.65i 0.573053 + 0.571358i
\(624\) −13268.3 15159.3i −0.851215 0.972527i
\(625\) −2745.44 −0.175708
\(626\) 15842.6 27440.2i 1.01150 1.75196i
\(627\) 2788.00 2440.23i 0.177579 0.155428i
\(628\) −5632.96 + 3252.19i −0.357929 + 0.206651i
\(629\) 5787.32 0.366861
\(630\) −5989.09 + 14440.2i −0.378748 + 0.913190i
\(631\) 7028.73 0.443438 0.221719 0.975111i \(-0.428833\pi\)
0.221719 + 0.975111i \(0.428833\pi\)
\(632\) −2459.97 + 1420.26i −0.154830 + 0.0893910i
\(633\) 630.415 + 3185.46i 0.0395841 + 0.200017i
\(634\) −628.509 + 1088.61i −0.0393711 + 0.0681928i
\(635\) −3979.71 −0.248709
\(636\) 4366.76 12823.2i 0.272254 0.799485i
\(637\) 23621.7 69.9588i 1.46927 0.00435144i
\(638\) 4877.23i 0.302651i
\(639\) −1531.53 + 1987.93i −0.0948145 + 0.123069i
\(640\) −2992.44 + 1727.69i −0.184823 + 0.106707i
\(641\) 19240.0i 1.18555i 0.805369 + 0.592773i \(0.201967\pi\)
−0.805369 + 0.592773i \(0.798033\pi\)
\(642\) 31930.2 + 10873.4i 1.96290 + 0.668441i
\(643\) 2402.55 1387.11i 0.147352 0.0850737i −0.424511 0.905423i \(-0.639554\pi\)
0.571863 + 0.820349i \(0.306221\pi\)
\(644\) −14200.4 + 14242.5i −0.868905 + 0.871482i
\(645\) −9327.04 + 8163.60i −0.569383 + 0.498359i
\(646\) −4669.79 8088.31i −0.284412 0.492616i
\(647\) 4830.91 + 8367.38i 0.293544 + 0.508432i 0.974645 0.223757i \(-0.0718321\pi\)
−0.681101 + 0.732189i \(0.738499\pi\)
\(648\) 2514.68 663.358i 0.152447 0.0402147i
\(649\) 2864.06 + 1653.56i 0.173227 + 0.100012i
\(650\) 9484.04 16426.8i 0.572299 0.991251i
\(651\) −1189.71 + 587.456i −0.0716259 + 0.0353675i
\(652\) 13344.3 + 23113.0i 0.801540 + 1.38831i
\(653\) 11885.8i 0.712294i 0.934430 + 0.356147i \(0.115910\pi\)
−0.934430 + 0.356147i \(0.884090\pi\)
\(654\) 6593.06 + 7532.68i 0.394203 + 0.450384i
\(655\) −19500.6 −1.16328
\(656\) −8984.86 + 15562.2i −0.534756 + 0.926224i
\(657\) −27256.1 3642.16i −1.61851 0.216277i
\(658\) −3801.71 + 3812.99i −0.225237 + 0.225906i
\(659\) 20497.2 + 11834.1i 1.21162 + 0.699529i 0.963112 0.269100i \(-0.0867263\pi\)
0.248508 + 0.968630i \(0.420060\pi\)
\(660\) −1656.50 1892.58i −0.0976959 0.111619i
\(661\) −8316.03 4801.26i −0.489344 0.282523i 0.234959 0.972005i \(-0.424505\pi\)
−0.724302 + 0.689483i \(0.757838\pi\)
\(662\) 14580.1 + 8417.83i 0.856000 + 0.494212i
\(663\) −5389.38 6157.45i −0.315696 0.360687i
\(664\) −66.1650 38.2004i −0.00386702 0.00223262i
\(665\) 9898.27 9927.63i 0.577201 0.578913i
\(666\) 17128.5 22232.8i 0.996569 1.29355i
\(667\) 10139.8 17562.6i 0.588626 1.01953i
\(668\) 712.490 0.0412681
\(669\) 9071.09 + 10363.9i 0.524228 + 0.598939i
\(670\) 22455.4i 1.29482i
\(671\) 2374.82 + 4113.31i 0.136630 + 0.236651i
\(672\) 22414.0 11067.6i 1.28667 0.635330i
\(673\) −3469.40 + 6009.18i −0.198716 + 0.344186i −0.948112 0.317936i \(-0.897010\pi\)
0.749397 + 0.662121i \(0.230344\pi\)
\(674\) −24120.6 13926.0i −1.37847 0.795860i
\(675\) −5204.16 7837.87i −0.296753 0.446933i
\(676\) −11289.1 19553.2i −0.642300 1.11250i
\(677\) 4176.49 + 7233.90i 0.237098 + 0.410667i 0.959880 0.280410i \(-0.0904703\pi\)
−0.722782 + 0.691076i \(0.757137\pi\)
\(678\) −32149.1 + 28138.8i −1.82106 + 1.59390i
\(679\) −14858.8 + 14902.8i −0.839804 + 0.842295i
\(680\) −537.759 + 310.476i −0.0303267 + 0.0175091i
\(681\) 4022.43 + 1369.79i 0.226344 + 0.0770783i
\(682\) 406.036i 0.0227975i
\(683\) 8631.82 4983.58i 0.483583 0.279197i −0.238325 0.971185i \(-0.576598\pi\)
0.721908 + 0.691989i \(0.243265\pi\)
\(684\) −23602.5 3153.93i −1.31939 0.176307i
\(685\) 9.34998i 0.000521524i
\(686\) −6640.67 + 25231.1i −0.369595 + 1.40427i
\(687\) −1177.50 + 3457.79i −0.0653924 + 0.192028i
\(688\) 17642.5 0.977639
\(689\) −10122.2 + 17532.1i −0.559686 + 0.969405i
\(690\) 3861.71 + 19513.1i 0.213062 + 1.07659i
\(691\) 4151.78 2397.03i 0.228569 0.131964i −0.381343 0.924434i \(-0.624538\pi\)
0.609912 + 0.792469i \(0.291205\pi\)
\(692\) −24359.6 −1.33817
\(693\) 2181.38 + 2845.54i 0.119573 + 0.155978i
\(694\) −40077.4 −2.19210
\(695\) −12759.2 + 7366.50i −0.696377 + 0.402054i
\(696\) 2310.15 2021.98i 0.125813 0.110119i
\(697\) −3649.50 + 6321.12i −0.198328 + 0.343515i
\(698\) −12217.1 −0.662499
\(699\) −14064.8 16069.2i −0.761056 0.869518i
\(700\) 7799.98 + 7776.92i 0.421160 + 0.419914i
\(701\) 13815.7i 0.744382i −0.928156 0.372191i \(-0.878607\pi\)
0.928156 0.372191i \(-0.121393\pi\)
\(702\) −39605.5 + 2480.13i −2.12936 + 0.133343i
\(703\) −21796.4 + 12584.2i −1.16937 + 0.675136i
\(704\) 4420.39i 0.236647i
\(705\) 543.544 + 2746.50i 0.0290370 + 0.146722i
\(706\) 34816.9 20101.5i 1.85602 1.07157i
\(707\) −7351.05 + 27597.9i −0.391039 + 1.46807i
\(708\) −4126.36 20850.3i −0.219037 1.10678i
\(709\) −67.3023 116.571i −0.00356501 0.00617477i 0.864237 0.503084i \(-0.167801\pi\)
−0.867802 + 0.496909i \(0.834468\pi\)
\(710\) −1452.84 2516.39i −0.0767945 0.133012i
\(711\) 2847.42 21308.7i 0.150192 1.12396i
\(712\) 2099.16 + 1211.95i 0.110491 + 0.0637919i
\(713\) −844.149 + 1462.11i −0.0443389 + 0.0767972i
\(714\) 8103.92 4001.56i 0.424764 0.209740i
\(715\) 1879.37 + 3255.16i 0.0982999 + 0.170260i
\(716\) 25518.5i 1.33194i
\(717\) −12258.5 + 2426.00i −0.638494 + 0.126361i
\(718\) −16337.8 −0.849192
\(719\) −279.689 + 484.435i −0.0145071 + 0.0251271i −0.873188 0.487384i \(-0.837951\pi\)
0.858681 + 0.512511i \(0.171285\pi\)
\(720\) 1532.45 11468.1i 0.0793209 0.593599i
\(721\) 7485.38 + 1993.83i 0.386644 + 0.102988i
\(722\) 10778.4 + 6222.89i 0.555580 + 0.320764i
\(723\) −1216.67 + 3572.81i −0.0625844 + 0.183782i
\(724\) 2461.92 + 1421.39i 0.126376 + 0.0729633i
\(725\) −9618.23 5553.09i −0.492706 0.284464i
\(726\) 26788.5 5301.56i 1.36944 0.271018i
\(727\) −6529.04 3769.54i −0.333079 0.192303i 0.324128 0.946013i \(-0.394929\pi\)
−0.657207 + 0.753710i \(0.728262\pi\)
\(728\) 4393.40 1184.18i 0.223668 0.0602868i
\(729\) −7638.09 + 18140.6i −0.388055 + 0.921636i
\(730\) 15920.0 27574.2i 0.807157 1.39804i
\(731\) 7166.11 0.362583
\(732\) 9840.19 28896.1i 0.496863 1.45906i
\(733\) 34171.1i 1.72188i −0.508708 0.860939i \(-0.669877\pi\)
0.508708 0.860939i \(-0.330123\pi\)
\(734\) 7257.90 + 12571.0i 0.364978 + 0.632161i
\(735\) 8965.25 + 10181.9i 0.449916 + 0.510975i
\(736\) 15903.7 27545.9i 0.796490 1.37956i
\(737\) −4460.23 2575.11i −0.222923 0.128705i
\(738\) 13482.2 + 32728.4i 0.672476 + 1.63245i
\(739\) −5524.56 9568.82i −0.274999 0.476312i 0.695136 0.718878i \(-0.255344\pi\)
−0.970135 + 0.242566i \(0.922011\pi\)
\(740\) 8542.53 + 14796.1i 0.424364 + 0.735021i
\(741\) 33686.7 + 11471.6i 1.67006 + 0.568715i
\(742\) −15834.3 15787.4i −0.783415 0.781098i
\(743\) −5588.14 + 3226.32i −0.275921 + 0.159303i −0.631575 0.775315i \(-0.717591\pi\)
0.355655 + 0.934617i \(0.384258\pi\)
\(744\) −192.323 + 168.333i −0.00947702 + 0.00829487i
\(745\) 18481.1i 0.908854i
\(746\) 16809.3 9704.87i 0.824977 0.476301i
\(747\) 534.640 220.241i 0.0261867 0.0107874i
\(748\) 1454.10i 0.0710791i
\(749\) 20667.8 20729.1i 1.00826 1.01125i
\(750\) 30605.9 6057.03i 1.49009 0.294895i
\(751\) −1687.78 −0.0820081 −0.0410041 0.999159i \(-0.513056\pi\)
−0.0410041 + 0.999159i \(0.513056\pi\)
\(752\) 1992.53 3451.16i 0.0966224 0.167355i
\(753\) −2606.88 887.737i −0.126162 0.0429627i
\(754\) −40568.6 + 23422.3i −1.95945 + 1.13129i
\(755\) 10629.0 0.512355
\(756\) 4527.87 22594.3i 0.217827 1.08696i
\(757\) 10839.9 0.520453 0.260226 0.965548i \(-0.416203\pi\)
0.260226 + 0.965548i \(0.416203\pi\)
\(758\) 18437.5 10644.9i 0.883485 0.510080i
\(759\) 4318.65 + 1470.66i 0.206531 + 0.0703314i
\(760\) 1350.22 2338.65i 0.0644443 0.111621i
\(761\) 9058.83 0.431514 0.215757 0.976447i \(-0.430778\pi\)
0.215757 + 0.976447i \(0.430778\pi\)
\(762\) 10945.6 2166.19i 0.520366 0.102982i
\(763\) 8387.86 2260.84i 0.397983 0.107271i
\(764\) 8381.38i 0.396895i
\(765\) 622.456 4658.16i 0.0294182 0.220152i
\(766\) 24522.6 14158.2i 1.15671 0.667826i
\(767\) 31764.1i 1.49535i
\(768\) −11993.9 + 10497.8i −0.563532 + 0.493238i
\(769\) 10991.2 6345.79i 0.515415 0.297575i −0.219642 0.975581i \(-0.570489\pi\)
0.735057 + 0.678006i \(0.237156\pi\)
\(770\) −4008.48 + 1080.43i −0.187605 + 0.0505665i
\(771\) 9585.98 + 3264.38i 0.447770 + 0.152482i
\(772\) 3488.77 + 6042.73i 0.162647 + 0.281713i
\(773\) 10423.9 + 18054.8i 0.485023 + 0.840085i 0.999852 0.0172084i<