Properties

Label 11.5.d.a.7.2
Level 11
Weight 5
Character 11.7
Analytic conductor 1.137
Analytic rank 0
Dimension 12
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 11 \)
Weight: \( k \) = \( 5 \)
Character orbit: \([\chi]\) = 11.d (of order \(10\) and degree \(4\))

Newform invariants

Self dual: No
Analytic conductor: \(1.13706959392\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(3\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 7.2
Root \(0.159251i\)
Character \(\chi\) = 11.7
Dual form 11.5.d.a.8.2

$q$-expansion

\(f(q)\) \(=\) \(q+(1.02443 - 1.41001i) q^{2} +(2.68168 - 8.25338i) q^{3} +(4.00561 + 12.3280i) q^{4} +(-8.06057 + 5.85635i) q^{5} +(-8.89011 - 12.2362i) q^{6} +(-56.0338 + 18.2065i) q^{7} +(48.0070 + 15.5984i) q^{8} +(4.60358 + 3.34469i) q^{9} +O(q^{10})\) \(q+(1.02443 - 1.41001i) q^{2} +(2.68168 - 8.25338i) q^{3} +(4.00561 + 12.3280i) q^{4} +(-8.06057 + 5.85635i) q^{5} +(-8.89011 - 12.2362i) q^{6} +(-56.0338 + 18.2065i) q^{7} +(48.0070 + 15.5984i) q^{8} +(4.60358 + 3.34469i) q^{9} +17.3649i q^{10} +(-16.1117 - 119.923i) q^{11} +112.489 q^{12} +(75.0662 - 103.320i) q^{13} +(-31.7314 + 97.6593i) q^{14} +(26.7187 + 82.2318i) q^{15} +(-96.6156 + 70.1954i) q^{16} +(22.8472 + 31.4465i) q^{17} +(9.43207 - 3.06467i) q^{18} +(-560.182 - 182.014i) q^{19} +(-104.485 - 75.9125i) q^{20} +511.293i q^{21} +(-185.597 - 100.135i) q^{22} +973.600 q^{23} +(257.479 - 354.390i) q^{24} +(-162.460 + 499.999i) q^{25} +(-68.7814 - 211.687i) q^{26} +(608.630 - 442.196i) q^{27} +(-448.900 - 617.857i) q^{28} +(-141.677 + 46.0337i) q^{29} +(143.319 + 46.5671i) q^{30} +(140.685 + 102.214i) q^{31} +1015.78i q^{32} +(-1032.97 - 188.618i) q^{33} +67.7450 q^{34} +(345.041 - 474.909i) q^{35} +(-22.7933 + 70.1504i) q^{36} +(442.232 + 1361.05i) q^{37} +(-830.507 + 603.399i) q^{38} +(-651.433 - 896.620i) q^{39} +(-478.314 + 155.414i) q^{40} +(-561.211 - 182.349i) q^{41} +(720.925 + 523.783i) q^{42} -1171.41i q^{43} +(1413.87 - 678.988i) q^{44} -56.6952 q^{45} +(997.384 - 1372.78i) q^{46} +(-151.299 + 465.650i) q^{47} +(320.256 + 985.647i) q^{48} +(865.865 - 629.088i) q^{49} +(538.573 + 741.283i) q^{50} +(320.808 - 104.237i) q^{51} +(1574.41 + 511.557i) q^{52} +(-1804.69 - 1311.18i) q^{53} -1311.17i q^{54} +(832.178 + 872.289i) q^{55} -2974.01 q^{56} +(-3004.46 + 4135.29i) q^{57} +(-80.2304 + 246.924i) q^{58} +(-1488.77 - 4581.97i) q^{59} +(-906.729 + 658.778i) q^{60} +(2838.11 + 3906.32i) q^{61} +(288.243 - 93.6559i) q^{62} +(-318.851 - 103.601i) q^{63} +(-113.596 - 82.5323i) q^{64} +1272.43i q^{65} +(-1324.16 + 1263.27i) q^{66} +187.188 q^{67} +(-296.155 + 407.623i) q^{68} +(2610.89 - 8035.49i) q^{69} +(-316.153 - 973.020i) q^{70} +(-537.618 + 390.602i) q^{71} +(168.832 + 232.377i) q^{72} +(5025.08 - 1632.75i) q^{73} +(2372.13 + 770.750i) q^{74} +(3691.02 + 2681.68i) q^{75} -7635.00i q^{76} +(3086.17 + 6426.38i) q^{77} -1931.59 q^{78} +(-5015.11 + 6902.71i) q^{79} +(367.689 - 1131.63i) q^{80} +(-1875.02 - 5770.73i) q^{81} +(-832.034 + 604.508i) q^{82} +(-136.132 - 187.370i) q^{83} +(-6303.22 + 2048.04i) q^{84} +(-368.323 - 119.675i) q^{85} +(-1651.69 - 1200.02i) q^{86} +1292.76i q^{87} +(1097.13 - 6008.44i) q^{88} -6640.75 q^{89} +(-58.0802 + 79.9405i) q^{90} +(-2325.16 + 7156.09i) q^{91} +(3899.86 + 12002.5i) q^{92} +(1220.88 - 887.020i) q^{93} +(501.574 + 690.357i) q^{94} +(5581.33 - 1813.48i) q^{95} +(8383.61 + 2724.00i) q^{96} +(-5913.27 - 4296.24i) q^{97} -1865.33i q^{98} +(326.933 - 605.961i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} + O(q^{10}) \) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} - 43q^{11} + 594q^{12} + 250q^{13} + 610q^{14} + 1134q^{15} - 633q^{16} - 1250q^{17} - 3150q^{18} - 1025q^{19} + 752q^{20} - 35q^{22} + 1684q^{23} + 5345q^{24} + 197q^{25} + 3490q^{26} - 687q^{27} - 3580q^{28} - 2690q^{29} - 6740q^{30} - 1136q^{31} + 5939q^{33} + 2370q^{34} + 3610q^{35} - 514q^{36} - 336q^{37} + 1900q^{38} - 6880q^{39} - 2340q^{40} - 4550q^{41} + 1310q^{42} - 6268q^{44} + 5136q^{45} + 4150q^{46} + 24q^{47} + 344q^{48} + 827q^{49} + 8895q^{50} + 13155q^{51} + 14070q^{52} + 414q^{53} - 2738q^{55} - 21340q^{56} - 26925q^{57} + 2980q^{58} - 10011q^{59} - 6856q^{60} + 9460q^{61} - 6200q^{62} + 9150q^{63} - 2633q^{64} - 3210q^{66} + 12154q^{67} - 9400q^{68} - 9022q^{69} - 9380q^{70} + 17574q^{71} + 43045q^{72} + 27950q^{73} + 43270q^{74} - 1761q^{75} + 4090q^{77} - 42920q^{78} - 41540q^{79} - 2308q^{80} - 21080q^{81} - 28175q^{82} - 18665q^{83} + 26250q^{84} - 4230q^{85} - 10125q^{86} - 15125q^{88} + 5554q^{89} + 18400q^{90} + 7390q^{91} + 3904q^{92} + 36898q^{93} + 18920q^{94} + 14110q^{95} - 21140q^{96} + 20769q^{97} - 3269q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.02443 1.41001i 0.256107 0.352501i −0.661531 0.749918i \(-0.730093\pi\)
0.917638 + 0.397416i \(0.130093\pi\)
\(3\) 2.68168 8.25338i 0.297965 0.917042i −0.684244 0.729253i \(-0.739868\pi\)
0.982209 0.187789i \(-0.0601322\pi\)
\(4\) 4.00561 + 12.3280i 0.250351 + 0.770500i
\(5\) −8.06057 + 5.85635i −0.322423 + 0.234254i −0.737209 0.675665i \(-0.763857\pi\)
0.414786 + 0.909919i \(0.363857\pi\)
\(6\) −8.89011 12.2362i −0.246948 0.339894i
\(7\) −56.0338 + 18.2065i −1.14355 + 0.371561i −0.818709 0.574208i \(-0.805310\pi\)
−0.324839 + 0.945769i \(0.605310\pi\)
\(8\) 48.0070 + 15.5984i 0.750109 + 0.243725i
\(9\) 4.60358 + 3.34469i 0.0568343 + 0.0412925i
\(10\) 17.3649i 0.173649i
\(11\) −16.1117 119.923i −0.133155 0.991095i
\(12\) 112.489 0.781177
\(13\) 75.0662 103.320i 0.444178 0.611359i −0.526956 0.849893i \(-0.676667\pi\)
0.971134 + 0.238533i \(0.0766667\pi\)
\(14\) −31.7314 + 97.6593i −0.161895 + 0.498262i
\(15\) 26.7187 + 82.2318i 0.118750 + 0.365475i
\(16\) −96.6156 + 70.1954i −0.377405 + 0.274201i
\(17\) 22.8472 + 31.4465i 0.0790560 + 0.108811i 0.846714 0.532049i \(-0.178578\pi\)
−0.767658 + 0.640860i \(0.778578\pi\)
\(18\) 9.43207 3.06467i 0.0291113 0.00945885i
\(19\) −560.182 182.014i −1.55175 0.504194i −0.597162 0.802121i \(-0.703705\pi\)
−0.954589 + 0.297927i \(0.903705\pi\)
\(20\) −104.485 75.9125i −0.261212 0.189781i
\(21\) 511.293i 1.15939i
\(22\) −185.597 100.135i −0.383464 0.206889i
\(23\) 973.600 1.84045 0.920227 0.391386i \(-0.128004\pi\)
0.920227 + 0.391386i \(0.128004\pi\)
\(24\) 257.479 354.390i 0.447013 0.615260i
\(25\) −162.460 + 499.999i −0.259935 + 0.799999i
\(26\) −68.7814 211.687i −0.101748 0.313147i
\(27\) 608.630 442.196i 0.834884 0.606579i
\(28\) −448.900 617.857i −0.572576 0.788083i
\(29\) −141.677 + 46.0337i −0.168463 + 0.0547369i −0.392034 0.919951i \(-0.628228\pi\)
0.223571 + 0.974688i \(0.428228\pi\)
\(30\) 143.319 + 46.5671i 0.159243 + 0.0517412i
\(31\) 140.685 + 102.214i 0.146394 + 0.106362i 0.658572 0.752518i \(-0.271161\pi\)
−0.512177 + 0.858880i \(0.671161\pi\)
\(32\) 1015.78i 0.991972i
\(33\) −1032.97 188.618i −0.948551 0.173203i
\(34\) 67.7450 0.0586029
\(35\) 345.041 474.909i 0.281666 0.387680i
\(36\) −22.7933 + 70.1504i −0.0175874 + 0.0541284i
\(37\) 442.232 + 1361.05i 0.323033 + 0.994194i 0.972321 + 0.233651i \(0.0750672\pi\)
−0.649287 + 0.760543i \(0.724933\pi\)
\(38\) −830.507 + 603.399i −0.575144 + 0.417866i
\(39\) −651.433 896.620i −0.428292 0.589494i
\(40\) −478.314 + 155.414i −0.298946 + 0.0971334i
\(41\) −561.211 182.349i −0.333856 0.108476i 0.137292 0.990531i \(-0.456160\pi\)
−0.471148 + 0.882054i \(0.656160\pi\)
\(42\) 720.925 + 523.783i 0.408688 + 0.296929i
\(43\) 1171.41i 0.633535i −0.948503 0.316767i \(-0.897403\pi\)
0.948503 0.316767i \(-0.102597\pi\)
\(44\) 1413.87 678.988i 0.730304 0.350717i
\(45\) −56.6952 −0.0279976
\(46\) 997.384 1372.78i 0.471353 0.648762i
\(47\) −151.299 + 465.650i −0.0684920 + 0.210797i −0.979444 0.201715i \(-0.935348\pi\)
0.910952 + 0.412512i \(0.135348\pi\)
\(48\) 320.256 + 985.647i 0.139000 + 0.427798i
\(49\) 865.865 629.088i 0.360627 0.262011i
\(50\) 538.573 + 741.283i 0.215429 + 0.296513i
\(51\) 320.808 104.237i 0.123340 0.0400757i
\(52\) 1574.41 + 511.557i 0.582253 + 0.189185i
\(53\) −1804.69 1311.18i −0.642467 0.466780i 0.218230 0.975897i \(-0.429972\pi\)
−0.860697 + 0.509118i \(0.829972\pi\)
\(54\) 1311.17i 0.449647i
\(55\) 832.178 + 872.289i 0.275100 + 0.288360i
\(56\) −2974.01 −0.948345
\(57\) −3004.46 + 4135.29i −0.924734 + 1.27279i
\(58\) −80.2304 + 246.924i −0.0238497 + 0.0734019i
\(59\) −1488.77 4581.97i −0.427685 1.31628i −0.900400 0.435063i \(-0.856726\pi\)
0.472715 0.881215i \(-0.343274\pi\)
\(60\) −906.729 + 658.778i −0.251869 + 0.182994i
\(61\) 2838.11 + 3906.32i 0.762727 + 1.04980i 0.996982 + 0.0776287i \(0.0247349\pi\)
−0.234255 + 0.972175i \(0.575265\pi\)
\(62\) 288.243 93.6559i 0.0749852 0.0243642i
\(63\) −318.851 103.601i −0.0803354 0.0261026i
\(64\) −113.596 82.5323i −0.0277334 0.0201495i
\(65\) 1272.43i 0.301167i
\(66\) −1324.16 + 1263.27i −0.303985 + 0.290007i
\(67\) 187.188 0.0416992 0.0208496 0.999783i \(-0.493363\pi\)
0.0208496 + 0.999783i \(0.493363\pi\)
\(68\) −296.155 + 407.623i −0.0640474 + 0.0881537i
\(69\) 2610.89 8035.49i 0.548391 1.68777i
\(70\) −316.153 973.020i −0.0645211 0.198576i
\(71\) −537.618 + 390.602i −0.106649 + 0.0774850i −0.639832 0.768515i \(-0.720996\pi\)
0.533183 + 0.846000i \(0.320996\pi\)
\(72\) 168.832 + 232.377i 0.0325679 + 0.0448258i
\(73\) 5025.08 1632.75i 0.942969 0.306389i 0.203113 0.979155i \(-0.434894\pi\)
0.739855 + 0.672766i \(0.234894\pi\)
\(74\) 2372.13 + 770.750i 0.433186 + 0.140751i
\(75\) 3691.02 + 2681.68i 0.656181 + 0.476743i
\(76\) 7635.00i 1.32185i
\(77\) 3086.17 + 6426.38i 0.520521 + 1.08389i
\(78\) −1931.59 −0.317486
\(79\) −5015.11 + 6902.71i −0.803575 + 1.10603i 0.188708 + 0.982033i \(0.439570\pi\)
−0.992283 + 0.123993i \(0.960430\pi\)
\(80\) 367.689 1131.63i 0.0574514 0.176817i
\(81\) −1875.02 5770.73i −0.285783 0.879550i
\(82\) −832.034 + 604.508i −0.123741 + 0.0899030i
\(83\) −136.132 187.370i −0.0197608 0.0271985i 0.799022 0.601301i \(-0.205351\pi\)
−0.818783 + 0.574103i \(0.805351\pi\)
\(84\) −6303.22 + 2048.04i −0.893313 + 0.290255i
\(85\) −368.323 119.675i −0.0509789 0.0165641i
\(86\) −1651.69 1200.02i −0.223322 0.162253i
\(87\) 1292.76i 0.170797i
\(88\) 1097.13 6008.44i 0.141674 0.775883i
\(89\) −6640.75 −0.838372 −0.419186 0.907900i \(-0.637685\pi\)
−0.419186 + 0.907900i \(0.637685\pi\)
\(90\) −58.0802 + 79.9405i −0.00717039 + 0.00986919i
\(91\) −2325.16 + 7156.09i −0.280782 + 0.864158i
\(92\) 3899.86 + 12002.5i 0.460759 + 1.41807i
\(93\) 1220.88 887.020i 0.141158 0.102558i
\(94\) 501.574 + 690.357i 0.0567648 + 0.0781301i
\(95\) 5581.33 1813.48i 0.618429 0.200940i
\(96\) 8383.61 + 2724.00i 0.909680 + 0.295573i
\(97\) −5913.27 4296.24i −0.628470 0.456610i 0.227400 0.973801i \(-0.426978\pi\)
−0.855870 + 0.517191i \(0.826978\pi\)
\(98\) 1865.33i 0.194224i
\(99\) 326.933 605.961i 0.0333571 0.0618265i
\(100\) −6814.74 −0.681474
\(101\) 9028.83 12427.1i 0.885092 1.21823i −0.0898920 0.995952i \(-0.528652\pi\)
0.974984 0.222274i \(-0.0713478\pi\)
\(102\) 181.671 559.125i 0.0174616 0.0537413i
\(103\) −282.605 869.770i −0.0266383 0.0819841i 0.936854 0.349722i \(-0.113724\pi\)
−0.963492 + 0.267738i \(0.913724\pi\)
\(104\) 5215.32 3789.15i 0.482186 0.350329i
\(105\) −2994.31 4121.31i −0.271593 0.373815i
\(106\) −3697.55 + 1201.41i −0.329081 + 0.106925i
\(107\) −7928.10 2576.00i −0.692471 0.224998i −0.0584239 0.998292i \(-0.518608\pi\)
−0.634047 + 0.773294i \(0.718608\pi\)
\(108\) 7889.33 + 5731.93i 0.676383 + 0.491421i
\(109\) 3099.23i 0.260856i 0.991458 + 0.130428i \(0.0416351\pi\)
−0.991458 + 0.130428i \(0.958365\pi\)
\(110\) 2082.44 279.778i 0.172102 0.0231221i
\(111\) 12419.2 1.00797
\(112\) 4135.73 5692.35i 0.329698 0.453791i
\(113\) −1541.47 + 4744.16i −0.120720 + 0.371538i −0.993097 0.117296i \(-0.962577\pi\)
0.872377 + 0.488833i \(0.162577\pi\)
\(114\) 2752.92 + 8472.62i 0.211828 + 0.651940i
\(115\) −7847.77 + 5701.74i −0.593404 + 0.431134i
\(116\) −1135.01 1562.20i −0.0843496 0.116097i
\(117\) 691.145 224.567i 0.0504891 0.0164049i
\(118\) −7985.74 2594.72i −0.573523 0.186349i
\(119\) −1852.75 1346.10i −0.130834 0.0950567i
\(120\) 4364.47i 0.303088i
\(121\) −14121.8 + 3864.31i −0.964540 + 0.263938i
\(122\) 8415.37 0.565397
\(123\) −3009.98 + 4142.89i −0.198955 + 0.273837i
\(124\) −696.560 + 2143.79i −0.0453018 + 0.139424i
\(125\) −3542.94 10904.1i −0.226748 0.697860i
\(126\) −472.718 + 343.450i −0.0297757 + 0.0216333i
\(127\) −6612.92 9101.91i −0.410002 0.564319i 0.553217 0.833037i \(-0.313400\pi\)
−0.963219 + 0.268718i \(0.913400\pi\)
\(128\) −15689.8 + 5097.91i −0.957627 + 0.311152i
\(129\) −9668.06 3141.34i −0.580978 0.188771i
\(130\) 1794.13 + 1303.51i 0.106162 + 0.0771310i
\(131\) 27358.8i 1.59424i 0.603818 + 0.797122i \(0.293645\pi\)
−0.603818 + 0.797122i \(0.706355\pi\)
\(132\) −1812.40 13490.0i −0.104017 0.774221i
\(133\) 34703.0 1.96184
\(134\) 191.760 263.935i 0.0106795 0.0146990i
\(135\) −2316.26 + 7128.71i −0.127092 + 0.391150i
\(136\) 606.310 + 1866.03i 0.0327806 + 0.100888i
\(137\) 20807.3 15117.4i 1.10860 0.805445i 0.126158 0.992010i \(-0.459736\pi\)
0.982443 + 0.186565i \(0.0597355\pi\)
\(138\) −8655.41 11913.2i −0.454495 0.625559i
\(139\) 20596.8 6692.32i 1.06603 0.346375i 0.277092 0.960843i \(-0.410629\pi\)
0.788942 + 0.614468i \(0.210629\pi\)
\(140\) 7236.78 + 2351.37i 0.369223 + 0.119968i
\(141\) 3437.45 + 2497.45i 0.172901 + 0.125620i
\(142\) 1158.19i 0.0574384i
\(143\) −13599.8 7337.47i −0.665060 0.358818i
\(144\) −679.559 −0.0327720
\(145\) 872.410 1200.77i 0.0414939 0.0571115i
\(146\) 2845.65 8758.02i 0.133498 0.410866i
\(147\) −2870.12 8833.32i −0.132821 0.408780i
\(148\) −15007.6 + 10903.7i −0.685155 + 0.497794i
\(149\) 21517.4 + 29616.2i 0.969211 + 1.33400i 0.942445 + 0.334362i \(0.108521\pi\)
0.0267658 + 0.999642i \(0.491479\pi\)
\(150\) 7562.37 2457.16i 0.336105 0.109207i
\(151\) −8685.35 2822.04i −0.380920 0.123768i 0.112297 0.993675i \(-0.464179\pi\)
−0.493217 + 0.869906i \(0.664179\pi\)
\(152\) −24053.5 17475.9i −1.04110 0.756401i
\(153\) 221.183i 0.00944863i
\(154\) 12222.8 + 2231.86i 0.515382 + 0.0941076i
\(155\) −1732.60 −0.0721165
\(156\) 8444.15 11622.4i 0.346982 0.477580i
\(157\) −2087.92 + 6425.96i −0.0847061 + 0.260699i −0.984435 0.175752i \(-0.943764\pi\)
0.899728 + 0.436450i \(0.143764\pi\)
\(158\) 4595.23 + 14142.7i 0.184074 + 0.566522i
\(159\) −15661.3 + 11378.6i −0.619489 + 0.450085i
\(160\) −5948.76 8187.76i −0.232373 0.319834i
\(161\) −54554.5 + 17725.8i −2.10465 + 0.683841i
\(162\) −10057.6 3267.91i −0.383234 0.124520i
\(163\) 19475.3 + 14149.6i 0.733009 + 0.532562i 0.890514 0.454956i \(-0.150345\pi\)
−0.157505 + 0.987518i \(0.550345\pi\)
\(164\) 7649.03i 0.284393i
\(165\) 9430.97 4529.07i 0.346408 0.166357i
\(166\) −403.651 −0.0146484
\(167\) 12349.4 16997.5i 0.442805 0.609469i −0.528028 0.849227i \(-0.677068\pi\)
0.970833 + 0.239758i \(0.0770683\pi\)
\(168\) −7975.35 + 24545.6i −0.282573 + 0.869672i
\(169\) 3785.80 + 11651.5i 0.132551 + 0.407951i
\(170\) −546.063 + 396.738i −0.0188949 + 0.0137280i
\(171\) −1970.06 2711.55i −0.0673731 0.0927312i
\(172\) 14441.1 4692.20i 0.488139 0.158606i
\(173\) 6450.49 + 2095.89i 0.215526 + 0.0700288i 0.414790 0.909917i \(-0.363855\pi\)
−0.199264 + 0.979946i \(0.563855\pi\)
\(174\) 1822.80 + 1324.34i 0.0602062 + 0.0437424i
\(175\) 30974.7i 1.01142i
\(176\) 9974.65 + 10455.4i 0.322012 + 0.337533i
\(177\) −41809.1 −1.33452
\(178\) −6802.97 + 9363.49i −0.214713 + 0.295527i
\(179\) 11829.4 36407.2i 0.369196 1.13627i −0.578116 0.815955i \(-0.696212\pi\)
0.947312 0.320313i \(-0.103788\pi\)
\(180\) −227.099 698.938i −0.00700922 0.0215722i
\(181\) 17836.1 12958.7i 0.544430 0.395551i −0.281298 0.959620i \(-0.590765\pi\)
0.825727 + 0.564069i \(0.190765\pi\)
\(182\) 7708.17 + 10609.4i 0.232707 + 0.320293i
\(183\) 39851.2 12948.5i 1.18998 0.386648i
\(184\) 46739.6 + 15186.6i 1.38054 + 0.448565i
\(185\) −11535.4 8380.99i −0.337047 0.244879i
\(186\) 2630.14i 0.0760243i
\(187\) 3403.03 3246.55i 0.0973157 0.0928408i
\(188\) −6346.58 −0.179566
\(189\) −26053.1 + 35859.0i −0.729349 + 1.00386i
\(190\) 3160.65 9727.48i 0.0875526 0.269459i
\(191\) −1356.85 4175.95i −0.0371933 0.114469i 0.930736 0.365691i \(-0.119167\pi\)
−0.967929 + 0.251222i \(0.919167\pi\)
\(192\) −985.799 + 716.225i −0.0267415 + 0.0194288i
\(193\) −11047.4 15205.4i −0.296582 0.408210i 0.634556 0.772877i \(-0.281183\pi\)
−0.931138 + 0.364666i \(0.881183\pi\)
\(194\) −12115.5 + 3936.55i −0.321911 + 0.104595i
\(195\) 10501.8 + 3412.26i 0.276183 + 0.0897372i
\(196\) 11223.7 + 8154.51i 0.292162 + 0.212268i
\(197\) 13912.0i 0.358474i −0.983806 0.179237i \(-0.942637\pi\)
0.983806 0.179237i \(-0.0573629\pi\)
\(198\) −519.489 1081.74i −0.0132509 0.0275926i
\(199\) −42834.8 −1.08166 −0.540830 0.841132i \(-0.681890\pi\)
−0.540830 + 0.841132i \(0.681890\pi\)
\(200\) −15598.4 + 21469.3i −0.389960 + 0.536734i
\(201\) 501.978 1544.93i 0.0124249 0.0382399i
\(202\) −8272.91 25461.4i −0.202747 0.623992i
\(203\) 7100.61 5158.89i 0.172307 0.125188i
\(204\) 2570.07 + 3537.39i 0.0617567 + 0.0850008i
\(205\) 5591.58 1816.82i 0.133054 0.0432318i
\(206\) −1515.89 492.542i −0.0357218 0.0116067i
\(207\) 4482.04 + 3256.39i 0.104601 + 0.0759970i
\(208\) 15251.6i 0.352524i
\(209\) −12802.1 + 70111.0i −0.293082 + 1.60507i
\(210\) −8878.53 −0.201327
\(211\) −25464.9 + 35049.5i −0.571975 + 0.787257i −0.992787 0.119891i \(-0.961745\pi\)
0.420812 + 0.907148i \(0.361745\pi\)
\(212\) 8935.40 27500.3i 0.198812 0.611880i
\(213\) 1782.07 + 5484.63i 0.0392794 + 0.120889i
\(214\) −11753.9 + 8539.74i −0.256659 + 0.186474i
\(215\) 6860.16 + 9442.20i 0.148408 + 0.204266i
\(216\) 36116.1 11734.8i 0.774093 0.251518i
\(217\) −9744.06 3166.04i −0.206929 0.0672352i
\(218\) 4369.93 + 3174.94i 0.0919521 + 0.0668071i
\(219\) 45852.4i 0.956035i
\(220\) −7420.20 + 13753.1i −0.153310 + 0.284156i
\(221\) 4964.09 0.101638
\(222\) 12722.6 17511.1i 0.258148 0.355311i
\(223\) 945.780 2910.81i 0.0190187 0.0585335i −0.941097 0.338137i \(-0.890203\pi\)
0.960115 + 0.279604i \(0.0902031\pi\)
\(224\) −18493.8 56918.0i −0.368578 1.13437i
\(225\) −2420.24 + 1758.41i −0.0478072 + 0.0347340i
\(226\) 5110.17 + 7033.54i 0.100050 + 0.137707i
\(227\) 64.7787 21.0479i 0.00125713 0.000408467i −0.308388 0.951261i \(-0.599790\pi\)
0.309645 + 0.950852i \(0.399790\pi\)
\(228\) −63014.6 20474.7i −1.21219 0.393865i
\(229\) 11009.2 + 7998.63i 0.209934 + 0.152526i 0.687784 0.725915i \(-0.258584\pi\)
−0.477850 + 0.878442i \(0.658584\pi\)
\(230\) 16906.4i 0.319592i
\(231\) 61315.5 8237.79i 1.14907 0.154379i
\(232\) −7519.55 −0.139706
\(233\) 30700.4 42255.4i 0.565499 0.778343i −0.426514 0.904481i \(-0.640258\pi\)
0.992013 + 0.126138i \(0.0402584\pi\)
\(234\) 391.389 1204.57i 0.00714787 0.0219989i
\(235\) −1507.45 4639.46i −0.0272966 0.0840102i
\(236\) 50523.1 36707.2i 0.907122 0.659063i
\(237\) 43521.7 + 59902.5i 0.774835 + 1.06647i
\(238\) −3796.01 + 1233.40i −0.0670153 + 0.0217746i
\(239\) 78576.7 + 25531.1i 1.37562 + 0.446965i 0.901226 0.433348i \(-0.142668\pi\)
0.474392 + 0.880314i \(0.342668\pi\)
\(240\) −8353.74 6069.35i −0.145030 0.105371i
\(241\) 24514.3i 0.422070i −0.977478 0.211035i \(-0.932317\pi\)
0.977478 0.211035i \(-0.0676835\pi\)
\(242\) −9018.11 + 23870.6i −0.153987 + 0.407598i
\(243\) 8280.78 0.140236
\(244\) −36788.8 + 50635.4i −0.617925 + 0.850501i
\(245\) −3295.21 + 10141.6i −0.0548973 + 0.168957i
\(246\) 2757.98 + 8488.19i 0.0455744 + 0.140264i
\(247\) −60856.3 + 44214.7i −0.997498 + 0.724725i
\(248\) 5159.49 + 7101.42i 0.0838886 + 0.115463i
\(249\) −1911.50 + 621.085i −0.0308302 + 0.0100173i
\(250\) −19004.3 6174.86i −0.304068 0.0987978i
\(251\) −86430.5 62795.5i −1.37189 0.996737i −0.997587 0.0694317i \(-0.977881\pi\)
−0.374305 0.927306i \(-0.622119\pi\)
\(252\) 4345.78i 0.0684332i
\(253\) −15686.4 116757.i −0.245065 1.82406i
\(254\) −19608.2 −0.303928
\(255\) −1975.45 + 2718.98i −0.0303799 + 0.0418143i
\(256\) −8190.72 + 25208.4i −0.124980 + 0.384650i
\(257\) 27704.0 + 85264.0i 0.419446 + 1.29092i 0.908214 + 0.418507i \(0.137446\pi\)
−0.488768 + 0.872414i \(0.662554\pi\)
\(258\) −14333.5 + 10413.9i −0.215335 + 0.156450i
\(259\) −49560.0 68213.4i −0.738808 1.01688i
\(260\) −15686.5 + 5096.86i −0.232049 + 0.0753973i
\(261\) −806.191 261.947i −0.0118347 0.00384532i
\(262\) 38576.1 + 28027.2i 0.561973 + 0.408297i
\(263\) 109118.i 1.57756i 0.614675 + 0.788781i \(0.289287\pi\)
−0.614675 + 0.788781i \(0.710713\pi\)
\(264\) −46647.7 25167.7i −0.669303 0.361107i
\(265\) 22225.6 0.316491
\(266\) 35550.7 48931.4i 0.502441 0.691551i
\(267\) −17808.4 + 54808.6i −0.249806 + 0.768822i
\(268\) 749.801 + 2307.65i 0.0104394 + 0.0321292i
\(269\) 7596.38 5519.09i 0.104979 0.0762716i −0.534057 0.845448i \(-0.679333\pi\)
0.639036 + 0.769177i \(0.279333\pi\)
\(270\) 7678.67 + 10568.8i 0.105332 + 0.144976i
\(271\) −77397.0 + 25147.8i −1.05387 + 0.342422i −0.784185 0.620527i \(-0.786919\pi\)
−0.269682 + 0.962949i \(0.586919\pi\)
\(272\) −4414.79 1434.45i −0.0596722 0.0193887i
\(273\) 52826.6 + 38380.8i 0.708806 + 0.514978i
\(274\) 44825.1i 0.597063i
\(275\) 62578.7 + 11426.7i 0.827487 + 0.151097i
\(276\) 109520. 1.43772
\(277\) 28294.2 38943.7i 0.368755 0.507548i −0.583807 0.811893i \(-0.698437\pi\)
0.952562 + 0.304344i \(0.0984374\pi\)
\(278\) 11663.8 35897.5i 0.150921 0.464488i
\(279\) 305.780 + 941.095i 0.00392827 + 0.0120900i
\(280\) 23972.2 17416.8i 0.305768 0.222153i
\(281\) −51179.9 70443.1i −0.648167 0.892126i 0.350851 0.936431i \(-0.385892\pi\)
−0.999018 + 0.0443056i \(0.985892\pi\)
\(282\) 7042.84 2288.36i 0.0885625 0.0287757i
\(283\) 8915.84 + 2896.93i 0.111324 + 0.0361714i 0.364149 0.931341i \(-0.381360\pi\)
−0.252825 + 0.967512i \(0.581360\pi\)
\(284\) −6968.83 5063.15i −0.0864019 0.0627747i
\(285\) 50928.0i 0.626999i
\(286\) −24277.9 + 11659.1i −0.296810 + 0.142539i
\(287\) 34766.8 0.422085
\(288\) −3397.47 + 4676.22i −0.0409610 + 0.0563780i
\(289\) 25342.5 77996.3i 0.303427 0.933852i
\(290\) −799.369 2460.21i −0.00950499 0.0292533i
\(291\) −51316.1 + 37283.3i −0.605993 + 0.440279i
\(292\) 40257.0 + 55409.0i 0.472146 + 0.649853i
\(293\) −74010.8 + 24047.6i −0.862105 + 0.280115i −0.706507 0.707706i \(-0.749730\pi\)
−0.155597 + 0.987821i \(0.549730\pi\)
\(294\) −15395.3 5002.23i −0.178112 0.0578720i
\(295\) 38833.9 + 28214.5i 0.446239 + 0.324212i
\(296\) 72238.1i 0.824485i
\(297\) −62835.3 65864.0i −0.712346 0.746681i
\(298\) 63802.1 0.718460
\(299\) 73084.4 100592.i 0.817490 1.12518i
\(300\) −18275.0 + 56244.6i −0.203055 + 0.624940i
\(301\) 21327.2 + 65638.4i 0.235397 + 0.724477i
\(302\) −12876.6 + 9355.41i −0.141185 + 0.102577i
\(303\) −78353.2 107844.i −0.853437 1.17466i
\(304\) 66898.9 21736.8i 0.723888 0.235206i
\(305\) −45753.5 14866.2i −0.491841 0.159809i
\(306\) 311.869 + 226.586i 0.00333065 + 0.00241986i
\(307\) 153965.i 1.63360i 0.576921 + 0.816800i \(0.304254\pi\)
−0.576921 + 0.816800i \(0.695746\pi\)
\(308\) −66862.5 + 63787.9i −0.704824 + 0.672414i
\(309\) −7936.40 −0.0831202
\(310\) −1774.92 + 2442.97i −0.0184695 + 0.0254212i
\(311\) −25689.2 + 79063.2i −0.265601 + 0.817436i 0.725953 + 0.687744i \(0.241399\pi\)
−0.991554 + 0.129692i \(0.958601\pi\)
\(312\) −17287.5 53205.3i −0.177591 0.546570i
\(313\) 82353.8 59833.6i 0.840611 0.610740i −0.0819302 0.996638i \(-0.526108\pi\)
0.922541 + 0.385898i \(0.126108\pi\)
\(314\) 6921.71 + 9526.92i 0.0702027 + 0.0966258i
\(315\) 3176.85 1032.22i 0.0320166 0.0104028i
\(316\) −105185. 34176.7i −1.05337 0.342260i
\(317\) −92619.0 67291.6i −0.921683 0.669642i 0.0222593 0.999752i \(-0.492914\pi\)
−0.943942 + 0.330110i \(0.892914\pi\)
\(318\) 33739.1i 0.333641i
\(319\) 7803.14 + 16248.6i 0.0766811 + 0.159674i
\(320\) 1398.99 0.0136620
\(321\) −42521.3 + 58525.6i −0.412664 + 0.567984i
\(322\) −30893.7 + 95081.1i −0.297960 + 0.917027i
\(323\) −7074.88 21774.2i −0.0678132 0.208708i
\(324\) 63631.0 46230.6i 0.606148 0.440392i
\(325\) 39464.6 + 54318.3i 0.373629 + 0.514256i
\(326\) 39902.2 12965.0i 0.375458 0.121994i
\(327\) 25579.1 + 8311.16i 0.239216 + 0.0777259i
\(328\) −24097.7 17508.0i −0.223990 0.162738i
\(329\) 28846.8i 0.266505i
\(330\) 3275.33 17937.4i 0.0300765 0.164715i
\(331\) 3500.96 0.0319545 0.0159772 0.999872i \(-0.494914\pi\)
0.0159772 + 0.999872i \(0.494914\pi\)
\(332\) 1764.61 2428.77i 0.0160093 0.0220349i
\(333\) −2516.45 + 7744.84i −0.0226934 + 0.0698431i
\(334\) −11315.5 34825.4i −0.101433 0.312179i
\(335\) −1508.84 + 1096.24i −0.0134448 + 0.00976820i
\(336\) −35890.4 49398.8i −0.317906 0.437561i
\(337\) 128354. 41704.6i 1.13018 0.367218i 0.316536 0.948580i \(-0.397480\pi\)
0.813645 + 0.581362i \(0.197480\pi\)
\(338\) 20307.0 + 6598.13i 0.177751 + 0.0577547i
\(339\) 35021.6 + 25444.7i 0.304745 + 0.221410i
\(340\) 5020.06i 0.0434261i
\(341\) 9991.03 18518.1i 0.0859214 0.159253i
\(342\) −5841.49 −0.0499426
\(343\) 46084.3 63429.7i 0.391710 0.539143i
\(344\) 18272.1 56235.7i 0.154408 0.475220i
\(345\) 26013.4 + 80060.9i 0.218554 + 0.672639i
\(346\) 9563.29 6948.13i 0.0798831 0.0580385i
\(347\) 54879.0 + 75534.5i 0.455772 + 0.627316i 0.973625 0.228153i \(-0.0732687\pi\)
−0.517853 + 0.855469i \(0.673269\pi\)
\(348\) −15937.2 + 5178.31i −0.131599 + 0.0427592i
\(349\) −52327.1 17002.1i −0.429612 0.139589i 0.0862261 0.996276i \(-0.472519\pi\)
−0.515838 + 0.856686i \(0.672519\pi\)
\(350\) −43674.5 31731.4i −0.356526 0.259032i
\(351\) 96077.5i 0.779843i
\(352\) 121815. 16365.9i 0.983139 0.132086i
\(353\) −3735.78 −0.0299801 −0.0149900 0.999888i \(-0.504772\pi\)
−0.0149900 + 0.999888i \(0.504772\pi\)
\(354\) −42830.5 + 58951.1i −0.341780 + 0.470419i
\(355\) 2046.00 6296.95i 0.0162349 0.0499659i
\(356\) −26600.2 81867.1i −0.209887 0.645966i
\(357\) −16078.3 + 11681.6i −0.126155 + 0.0916570i
\(358\) −39215.9 53976.1i −0.305982 0.421148i
\(359\) −81956.4 + 26629.2i −0.635907 + 0.206619i −0.609190 0.793024i \(-0.708505\pi\)
−0.0267172 + 0.999643i \(0.508505\pi\)
\(360\) −2721.76 884.355i −0.0210013 0.00682372i
\(361\) 175243. + 127321.i 1.34470 + 0.976982i
\(362\) 38424.2i 0.293216i
\(363\) −5976.66 + 126916.i −0.0453571 + 0.963168i
\(364\) −97534.0 −0.736128
\(365\) −30943.1 + 42589.5i −0.232262 + 0.319681i
\(366\) 22567.4 69455.2i 0.168469 0.518493i
\(367\) 7826.17 + 24086.5i 0.0581055 + 0.178830i 0.975897 0.218233i \(-0.0700293\pi\)
−0.917791 + 0.397063i \(0.870029\pi\)
\(368\) −94065.0 + 68342.2i −0.694596 + 0.504654i
\(369\) −1973.68 2716.54i −0.0144952 0.0199509i
\(370\) −23634.5 + 7679.31i −0.172640 + 0.0560943i
\(371\) 124996. + 40613.6i 0.908129 + 0.295069i
\(372\) 15825.6 + 11497.9i 0.114360 + 0.0830872i
\(373\) 192208.i 1.38151i −0.723089 0.690755i \(-0.757278\pi\)
0.723089 0.690755i \(-0.242722\pi\)
\(374\) −1091.49 8124.15i −0.00780325 0.0580811i
\(375\) −99496.4 −0.707530
\(376\) −14526.8 + 19994.4i −0.102753 + 0.141427i
\(377\) −5878.97 + 18093.6i −0.0413637 + 0.127304i
\(378\) 23871.8 + 73469.9i 0.167071 + 0.514193i
\(379\) −106632. + 77472.8i −0.742352 + 0.539350i −0.893447 0.449169i \(-0.851720\pi\)
0.151095 + 0.988519i \(0.451720\pi\)
\(380\) 44713.2 + 61542.5i 0.309648 + 0.426195i
\(381\) −92855.2 + 30170.5i −0.639671 + 0.207842i
\(382\) −7278.10 2364.80i −0.0498760 0.0162057i
\(383\) −142062. 103214.i −0.968454 0.703623i −0.0133552 0.999911i \(-0.504251\pi\)
−0.955099 + 0.296288i \(0.904251\pi\)
\(384\) 143164.i 0.970896i
\(385\) −62511.4 33726.6i −0.421733 0.227537i
\(386\) −32757.0 −0.219852
\(387\) 3917.99 5392.66i 0.0261602 0.0360065i
\(388\) 29277.8 90108.0i 0.194480 0.598549i
\(389\) 7643.41 + 23524.0i 0.0505112 + 0.155458i 0.973130 0.230254i \(-0.0739558\pi\)
−0.922619 + 0.385712i \(0.873956\pi\)
\(390\) 15569.7 11312.0i 0.102365 0.0743724i
\(391\) 22244.0 + 30616.3i 0.145499 + 0.200262i
\(392\) 51380.3 16694.5i 0.334368 0.108643i
\(393\) 225803. + 73367.7i 1.46199 + 0.475029i
\(394\) −19616.0 14251.9i −0.126363 0.0918078i
\(395\) 85010.0i 0.544849i
\(396\) 8779.86 + 1603.18i 0.0559883 + 0.0102233i
\(397\) −191822. −1.21708 −0.608539 0.793524i \(-0.708244\pi\)
−0.608539 + 0.793524i \(0.708244\pi\)
\(398\) −43881.2 + 60397.3i −0.277021 + 0.381286i
\(399\) 93062.5 286417.i 0.584559 1.79909i
\(400\) −19401.5 59711.7i −0.121259 0.373198i
\(401\) 91171.9 66240.3i 0.566986 0.411939i −0.267023 0.963690i \(-0.586040\pi\)
0.834009 + 0.551751i \(0.186040\pi\)
\(402\) −1664.12 2290.46i −0.0102975 0.0141733i
\(403\) 21121.3 6862.74i 0.130050 0.0422559i
\(404\) 189367. + 61529.2i 1.16023 + 0.376980i
\(405\) 48909.2 + 35534.6i 0.298181 + 0.216641i
\(406\) 15296.8i 0.0928002i
\(407\) 156096. 74962.5i 0.942328 0.452538i
\(408\) 17027.0 0.102286
\(409\) −159737. + 219859.i −0.954902 + 1.31431i −0.00558643 + 0.999984i \(0.501778\pi\)
−0.949315 + 0.314325i \(0.898222\pi\)
\(410\) 3166.46 9745.36i 0.0188368 0.0579736i
\(411\) −68970.9 212271.i −0.408303 1.25663i
\(412\) 9590.52 6967.92i 0.0564999 0.0410496i
\(413\) 166843. + 229640.i 0.978156 + 1.34632i
\(414\) 9183.06 2983.76i 0.0535781 0.0174086i
\(415\) 2194.61 + 713.072i 0.0127427 + 0.00414035i
\(416\) 104950. + 76250.6i 0.606451 + 0.440613i
\(417\) 187940.i 1.08081i
\(418\) 85742.0 + 89874.8i 0.490728 + 0.514381i
\(419\) 36389.5 0.207275 0.103638 0.994615i \(-0.466952\pi\)
0.103638 + 0.994615i \(0.466952\pi\)
\(420\) 38813.5 53422.2i 0.220031 0.302847i
\(421\) −44837.8 + 137997.i −0.252976 + 0.778581i 0.741245 + 0.671234i \(0.234236\pi\)
−0.994222 + 0.107347i \(0.965764\pi\)
\(422\) 23332.9 + 71811.3i 0.131022 + 0.403244i
\(423\) −2253.97 + 1637.61i −0.0125970 + 0.00915227i
\(424\) −66185.3 91096.3i −0.368155 0.506721i
\(425\) −19435.0 + 6314.80i −0.107598 + 0.0349608i
\(426\) 9558.96 + 3105.89i 0.0526734 + 0.0171146i
\(427\) −230150. 167214.i −1.26228 0.917101i
\(428\) 108056.i 0.589877i
\(429\) −97029.3 + 92567.5i −0.527216 + 0.502972i
\(430\) 20341.3 0.110012
\(431\) 487.457 670.927i 0.00262411 0.00361178i −0.807703 0.589590i \(-0.799289\pi\)
0.810327 + 0.585978i \(0.199289\pi\)
\(432\) −27763.1 + 85446.1i −0.148765 + 0.457851i
\(433\) −45127.5 138888.i −0.240694 0.740781i −0.996315 0.0857711i \(-0.972665\pi\)
0.755621 0.655009i \(-0.227335\pi\)
\(434\) −14446.2 + 10495.8i −0.0766964 + 0.0557232i
\(435\) −7570.87 10420.4i −0.0400099 0.0550689i
\(436\) −38207.3 + 12414.3i −0.200990 + 0.0653055i
\(437\) −545393. 177209.i −2.85592 0.927946i
\(438\) −64652.1 46972.5i −0.337004 0.244847i
\(439\) 325054.i 1.68666i 0.537398 + 0.843329i \(0.319407\pi\)
−0.537398 + 0.843329i \(0.680593\pi\)
\(440\) 26344.0 + 54856.6i 0.136075 + 0.283350i
\(441\) 6090.18 0.0313150
\(442\) 5085.36 6999.39i 0.0260302 0.0358274i
\(443\) −3613.23 + 11120.4i −0.0184115 + 0.0566647i −0.959840 0.280548i \(-0.909484\pi\)
0.941429 + 0.337212i \(0.109484\pi\)
\(444\) 49746.5 + 153104.i 0.252346 + 0.776641i
\(445\) 53528.2 38890.5i 0.270310 0.196392i
\(446\) −3135.38 4315.48i −0.0157623 0.0216950i
\(447\) 302137. 98170.2i 1.51213 0.491320i
\(448\) 7867.84 + 2556.42i 0.0392012 + 0.0127372i
\(449\) 284422. + 206645.i 1.41082 + 1.02502i 0.993203 + 0.116395i \(0.0371340\pi\)
0.417615 + 0.908624i \(0.362866\pi\)
\(450\) 5213.91i 0.0257477i
\(451\) −12825.6 + 70239.8i −0.0630559 + 0.345327i
\(452\) −64660.6 −0.316492
\(453\) −46582.8 + 64115.7i −0.227002 + 0.312441i
\(454\) 36.6836 112.900i 0.000177975 0.000547752i
\(455\) −23166.5 71299.1i −0.111902 0.344399i
\(456\) −208739. + 151658.i −1.00386 + 0.729349i
\(457\) 90965.8 + 125204.i 0.435558 + 0.599494i 0.969218 0.246205i \(-0.0791837\pi\)
−0.533660 + 0.845699i \(0.679184\pi\)
\(458\) 22556.2 7328.96i 0.107531 0.0349391i
\(459\) 27811.0 + 9036.34i 0.132005 + 0.0428911i
\(460\) −101726. 73908.4i −0.480748 0.349284i
\(461\) 116794.i 0.549564i −0.961507 0.274782i \(-0.911394\pi\)
0.961507 0.274782i \(-0.0886057\pi\)
\(462\) 51198.0 94894.2i 0.239866 0.444586i
\(463\) 39611.3 0.184781 0.0923904 0.995723i \(-0.470549\pi\)
0.0923904 + 0.995723i \(0.470549\pi\)
\(464\) 10456.9 14392.7i 0.0485698 0.0668506i
\(465\) −4646.28 + 14299.8i −0.0214882 + 0.0661338i
\(466\) −28130.1 86575.4i −0.129538 0.398678i
\(467\) 77040.8 55973.4i 0.353254 0.256654i −0.396979 0.917828i \(-0.629941\pi\)
0.750233 + 0.661174i \(0.229941\pi\)
\(468\) 5536.92 + 7620.92i 0.0252800 + 0.0347949i
\(469\) −10488.8 + 3408.03i −0.0476850 + 0.0154938i
\(470\) −8085.95 2627.28i −0.0366046 0.0118935i
\(471\) 47436.7 + 34464.8i 0.213832 + 0.155358i
\(472\) 243189.i 1.09159i
\(473\) −140478. + 18873.3i −0.627893 + 0.0843581i
\(474\) 129048. 0.574372
\(475\) 182014. 250521.i 0.806710 1.11034i
\(476\) 9173.33 28232.6i 0.0404868 0.124605i
\(477\) −3922.52 12072.3i −0.0172396 0.0530582i
\(478\) 116495. 84638.7i 0.509862 0.370436i
\(479\) −206359. 284028.i −0.899398 1.23791i −0.970660 0.240457i \(-0.922703\pi\)
0.0712622 0.997458i \(-0.477297\pi\)
\(480\) −83529.4 + 27140.3i −0.362541 + 0.117797i
\(481\) 173820. + 56477.6i 0.751294 + 0.244110i
\(482\) −34565.2 25113.1i −0.148780 0.108095i
\(483\) 497794.i 2.13381i
\(484\) −104206. 158615.i −0.444837 0.677101i
\(485\) 72824.7 0.309596
\(486\) 8483.07 11675.9i 0.0359154 0.0494333i
\(487\) −50720.6 + 156102.i −0.213858 + 0.658189i 0.785374 + 0.619021i \(0.212471\pi\)
−0.999233 + 0.0391673i \(0.987529\pi\)
\(488\) 75316.6 + 231801.i 0.316265 + 0.973363i
\(489\) 169009. 122792.i 0.706793 0.513515i
\(490\) 10924.0 + 15035.6i 0.0454978 + 0.0626224i
\(491\) 172324. 55991.5i 0.714797 0.232252i 0.0710312 0.997474i \(-0.477371\pi\)
0.643766 + 0.765222i \(0.277371\pi\)
\(492\) −63130.4 20512.3i −0.260800 0.0847391i
\(493\) −4684.52 3403.51i −0.0192740 0.0140034i
\(494\) 131103.i 0.537227i
\(495\) 913.455 + 6799.03i 0.00372801 + 0.0277483i
\(496\) −20767.3 −0.0844143
\(497\) 23013.3 31675.1i 0.0931678 0.128234i
\(498\) −1082.47 + 3331.48i −0.00436471 + 0.0134332i
\(499\) 35889.1 + 110455.i 0.144132 + 0.443594i 0.996898 0.0786994i \(-0.0250767\pi\)
−0.852766 + 0.522293i \(0.825077\pi\)
\(500\) 120234. 87354.8i 0.480934 0.349419i
\(501\) −107169. 147506.i −0.426968 0.587671i
\(502\) −177084. + 57538.0i −0.702703 + 0.228322i
\(503\) 61308.6 + 19920.4i 0.242318 + 0.0787339i 0.427658 0.903941i \(-0.359339\pi\)
−0.185340 + 0.982674i \(0.559339\pi\)
\(504\) −13691.1 9947.15i −0.0538985 0.0391595i
\(505\) 153046.i 0.600120i
\(506\) −180697. 97491.0i −0.705748 0.380771i
\(507\) 106317. 0.413604
\(508\) 85719.5 117983.i 0.332164 0.457184i
\(509\) −44701.3 + 137576.i −0.172538 + 0.531017i −0.999512 0.0312225i \(-0.990060\pi\)
0.826975 + 0.562239i \(0.190060\pi\)
\(510\) 1810.06 + 5570.79i 0.00695910 + 0.0214179i
\(511\) −251848. + 182978.i −0.964487 + 0.700741i
\(512\) −127996. 176171.i −0.488265 0.672038i
\(513\) −421430. + 136931.i −1.60137 + 0.520315i
\(514\) 148603. + 48284.2i 0.562474 + 0.182759i
\(515\) 7371.64 + 5355.81i 0.0277939 + 0.0201934i
\(516\) 131771.i 0.494903i
\(517\) 58279.6 + 10641.7i 0.218040 + 0.0398135i
\(518\) −146952. −0.547666
\(519\) 34596.4 47617.8i 0.128439 0.176781i
\(520\) −19847.9 + 61085.5i −0.0734019 + 0.225908i
\(521\) 33121.1 + 101936.i 0.122020 + 0.375538i 0.993346 0.115166i \(-0.0367399\pi\)
−0.871327 + 0.490703i \(0.836740\pi\)
\(522\) −1195.23 + 868.387i −0.00438643 + 0.00318693i
\(523\) −118355. 162901.i −0.432695 0.595554i 0.535874 0.844298i \(-0.319982\pi\)
−0.968569 + 0.248744i \(0.919982\pi\)
\(524\) −337280. + 109589.i −1.22837 + 0.399120i
\(525\) −255646. 83064.4i −0.927513 0.301367i
\(526\) 153857. + 111784.i 0.556093 + 0.404025i
\(527\) 6759.33i 0.0243379i
\(528\) 113041. 54286.4i 0.405480 0.194726i
\(529\) 668056. 2.38727
\(530\) 22768.5 31338.2i 0.0810557 0.111564i
\(531\) 8471.60 26072.9i 0.0300453 0.0924699i
\(532\) 139007. + 427818.i 0.491148 + 1.51160i
\(533\) −60968.2 + 44296.0i −0.214609 + 0.155923i
\(534\) 59037.0 + 81257.4i 0.207034 + 0.284958i
\(535\) 78991.0 25665.7i 0.275975 0.0896698i
\(536\) 8986.31 + 2919.83i 0.0312789 + 0.0101631i
\(537\) −268759. 195265.i −0.931998 0.677136i
\(538\) 16364.8i 0.0565389i
\(539\) −89392.3 93701.0i −0.307697 0.322528i
\(540\) −97160.7 −0.333199
\(541\) 90406.1 124433.i 0.308890 0.425150i −0.626145 0.779707i \(-0.715368\pi\)
0.935035 + 0.354557i \(0.115368\pi\)
\(542\) −43829.2 + 134892.i −0.149199 + 0.459186i
\(543\) −59122.0 181959.i −0.200516 0.617125i
\(544\) −31942.7 + 23207.7i −0.107938 + 0.0784213i
\(545\) −18150.2 24981.6i −0.0611065 0.0841059i
\(546\) 108234. 35167.4i 0.363061 0.117966i
\(547\) −150147. 48785.9i −0.501815 0.163049i 0.0471619 0.998887i \(-0.484982\pi\)
−0.548976 + 0.835838i \(0.684982\pi\)
\(548\) 269713. + 195958.i 0.898134 + 0.652533i
\(549\) 27475.6i 0.0911598i
\(550\) 80219.1 76530.4i 0.265187 0.252993i
\(551\) 87743.8 0.289010
\(552\) 250682. 345034.i 0.822706 1.13236i
\(553\) 155342. 478093.i 0.507970 1.56337i
\(554\) −25925.4 79790.0i −0.0844705 0.259974i
\(555\) −100106. + 72731.2i −0.324993 + 0.236121i
\(556\) 165006. + 227111.i 0.533765 + 0.734664i
\(557\) 553427. 179819.i 1.78382 0.579597i 0.784630 0.619964i \(-0.212853\pi\)
0.999185 + 0.0403674i \(0.0128528\pi\)
\(558\) 1640.20 + 532.933i 0.00526779 + 0.00171161i
\(559\) −121029. 87932.9i −0.387317 0.281403i
\(560\) 70103.9i 0.223546i
\(561\) −17669.1 36792.7i −0.0561422 0.116906i
\(562\) −151755. −0.480476
\(563\) −228448. + 314432.i −0.720728 + 0.991997i 0.278771 + 0.960358i \(0.410073\pi\)
−0.999499 + 0.0316397i \(0.989927\pi\)
\(564\) −17019.5 + 52380.7i −0.0535043 + 0.164669i
\(565\) −15358.3 47268.1i −0.0481113 0.148071i
\(566\) 13218.3 9603.68i 0.0412614 0.0299781i
\(567\) 210130. + 289218.i 0.653613 + 0.899622i
\(568\) −31902.2 + 10365.6i −0.0988835 + 0.0321292i
\(569\) −194357. 63150.3i −0.600309 0.195052i −0.00693101 0.999976i \(-0.502206\pi\)
−0.593378 + 0.804924i \(0.702206\pi\)
\(570\) −71808.7 52172.1i −0.221018 0.160579i
\(571\) 68721.2i 0.210775i 0.994431 + 0.105387i \(0.0336083\pi\)
−0.994431 + 0.105387i \(0.966392\pi\)
\(572\) 35980.8 197049.i 0.109971 0.602259i
\(573\) −38104.3 −0.116055
\(574\) 35616.1 49021.3i 0.108099 0.148786i
\(575\) −158171. + 486799.i −0.478399 + 1.47236i
\(576\) −246.902 759.887i −0.000744184 0.00229036i
\(577\) 194489. 141305.i 0.584177 0.424429i −0.256051 0.966663i \(-0.582421\pi\)
0.840227 + 0.542234i \(0.182421\pi\)
\(578\) −84013.5 115635.i −0.251474 0.346125i
\(579\) −155122. + 50402.1i −0.462717 + 0.150346i
\(580\) 18297.6 + 5945.26i 0.0543925 + 0.0176732i
\(581\) 11039.4 + 8020.58i 0.0327034 + 0.0237604i
\(582\) 110550.i 0.326372i
\(583\) −128164. + 237548.i −0.377076 + 0.698900i
\(584\) 266707. 0.782004
\(585\) −4255.89 + 5857.73i −0.0124359 + 0.0171166i
\(586\) −41911.6 + 128991.i −0.122050 + 0.375633i
\(587\) −143863. 442766.i −0.417517 1.28499i −0.909980 0.414652i \(-0.863903\pi\)
0.492463 0.870334i \(-0.336097\pi\)
\(588\) 97400.7 70765.7i 0.281713 0.204677i
\(589\) −60204.8 82864.8i −0.173540 0.238858i
\(590\) 79565.2 25852.3i 0.228570 0.0742669i
\(591\) −114821. 37307.6i −0.328736 0.106813i
\(592\) −138266. 100456.i −0.394523 0.286638i
\(593\) 54204.4i 0.154143i −0.997026 0.0770717i \(-0.975443\pi\)
0.997026 0.0770717i \(-0.0245570\pi\)
\(594\) −157239. + 21125.2i −0.445643 + 0.0598725i
\(595\) 22817.4 0.0644514
\(596\) −278918. + 383898.i −0.785208 + 1.08075i
\(597\) −114869. + 353532.i −0.322297 + 0.991927i
\(598\) −66965.6 206099.i −0.187262 0.576332i
\(599\) −344600. + 250367.i −0.960421 + 0.697787i −0.953249 0.302187i \(-0.902283\pi\)
−0.00717284 + 0.999974i \(0.502283\pi\)
\(600\) 135365. + 186313.i 0.376013 + 0.517537i
\(601\) −178462. + 57985.7i −0.494078 + 0.160536i −0.545449 0.838144i \(-0.683641\pi\)
0.0513708 + 0.998680i \(0.483641\pi\)
\(602\) 114399. + 37170.4i 0.315666 + 0.102566i
\(603\) 861.732 + 626.085i 0.00236994 + 0.00172186i
\(604\) 118377.i 0.324484i
\(605\) 91199.3 113851.i 0.249161 0.311047i
\(606\) −232328. −0.632639
\(607\) −197925. + 272420.i −0.537183 + 0.739369i −0.988204 0.153144i \(-0.951060\pi\)
0.451021 + 0.892513i \(0.351060\pi\)
\(608\) 184886. 569021.i 0.500147 1.53929i
\(609\) −23536.7 72438.5i −0.0634616 0.195315i
\(610\) −67832.7 + 49283.4i −0.182297 + 0.132447i
\(611\) 36753.4 + 50586.7i 0.0984498 + 0.135505i
\(612\) −2726.74 + 885.973i −0.00728017 + 0.00236547i
\(613\) 253103. + 82238.3i 0.673561 + 0.218853i 0.625774 0.780004i \(-0.284783\pi\)
0.0477869 + 0.998858i \(0.484783\pi\)
\(614\) 217092. + 157726.i 0.575846 + 0.418377i
\(615\) 51021.6i 0.134897i
\(616\) 47916.3 + 356651.i 0.126276 + 0.939900i
\(617\) −266633. −0.700396 −0.350198 0.936676i \(-0.613886\pi\)
−0.350198 + 0.936676i \(0.613886\pi\)
\(618\) −8130.27 + 11190.4i −0.0212877 + 0.0293000i
\(619\) 190706. 586932.i 0.497717 1.53182i −0.314962 0.949104i \(-0.601992\pi\)
0.812679 0.582711i \(-0.198008\pi\)
\(620\) −6940.12 21359.5i −0.0180544 0.0555658i
\(621\) 592563. 430522.i 1.53657 1.11638i
\(622\) 85162.8 + 117217.i 0.220125 + 0.302976i
\(623\) 372106. 120905.i 0.958719 0.311507i
\(624\) 125877. + 40900.0i 0.323279 + 0.105040i
\(625\) −173412. 125991.i −0.443934 0.322537i
\(626\) 177415.i 0.452731i
\(627\) 544321. + 293676.i 1.38459 + 0.747022i
\(628\) −87582.6 −0.222075
\(629\) −32696.5 + 45002.8i −0.0826418 + 0.113747i
\(630\) 1799.02 5536.81i 0.00453267 0.0139501i
\(631\) 24299.7 + 74786.9i 0.0610299 + 0.187831i 0.976923 0.213591i \(-0.0685161\pi\)
−0.915893 + 0.401422i \(0.868516\pi\)
\(632\) −348432. + 253150.i −0.872335 + 0.633789i
\(633\) 220987. + 304163.i 0.551519 + 0.759100i
\(634\) −189763. + 61657.8i −0.472099 + 0.153394i
\(635\) 106608. + 34639.0i 0.264388 + 0.0859049i
\(636\) −203009. 147494.i −0.501880 0.364637i
\(637\) 136684.i 0.336852i
\(638\) 30904.4 + 5643.07i 0.0759240 + 0.0138635i
\(639\) −3781.41 −0.00926087
\(640\) 96613.3 132977.i 0.235872 0.324650i
\(641\) 169464. 521557.i 0.412441 1.26936i −0.502079 0.864822i \(-0.667431\pi\)
0.914520 0.404541i \(-0.132569\pi\)
\(642\) 38961.3 + 119911.i 0.0945287 + 0.290929i
\(643\) 103495. 75193.8i 0.250322 0.181870i −0.455548 0.890211i \(-0.650556\pi\)
0.705870 + 0.708342i \(0.250556\pi\)
\(644\) −437049. 601546.i −1.05380 1.45043i
\(645\) 96326.9 31298.5i 0.231541 0.0752323i
\(646\) −37949.5 12330.5i −0.0909371 0.0295473i
\(647\) 575751. + 418308.i 1.37539 + 0.999281i 0.997294 + 0.0735150i \(0.0234217\pi\)
0.378098 + 0.925766i \(0.376578\pi\)
\(648\) 306283.i 0.729411i
\(649\) −525494. + 252360.i −1.24761 + 0.599145i
\(650\) 117018. 0.276965
\(651\) −52261.0 + 71931.1i −0.123315 + 0.169728i
\(652\) −96426.4 + 296770.i −0.226830 + 0.698111i
\(653\) 74638.0 + 229712.i 0.175039 + 0.538713i 0.999635 0.0270077i \(-0.00859788\pi\)
−0.824597 + 0.565721i \(0.808598\pi\)
\(654\) 37922.8 27552.5i 0.0886634 0.0644177i
\(655\) −160223. 220528.i −0.373458 0.514021i
\(656\) 67021.8 21776.7i 0.155743 0.0506040i
\(657\) 28594.4 + 9290.88i 0.0662445 + 0.0215241i
\(658\) −40674.1 29551.5i −0.0939434 0.0682539i
\(659\) 165208.i 0.380418i −0.981744 0.190209i \(-0.939084\pi\)
0.981744 0.190209i \(-0.0609165\pi\)
\(660\) 93611.2 + 98123.3i 0.214902 + 0.225260i
\(661\) −782672. −1.79133 −0.895667 0.444725i \(-0.853302\pi\)
−0.895667 + 0.444725i \(0.853302\pi\)
\(662\) 3586.49 4936.38i 0.00818377 0.0112640i
\(663\) 13312.1 40970.5i 0.0302845 0.0932061i
\(664\) −3612.63 11118.5i −0.00819384 0.0252180i
\(665\) −279726. + 203233.i −0.632542 + 0.459569i
\(666\) 8342.34 + 11482.2i 0.0188079 + 0.0258868i
\(667\) −137937. + 44818.4i −0.310048 + 0.100741i
\(668\) 259012. + 84158.0i 0.580452 + 0.188600i
\(669\) −21487.7 15611.8i −0.0480108 0.0348819i
\(670\) 3250.49i 0.00724100i
\(671\) 422729. 403291.i 0.938895 0.895721i
\(672\) −519360. −1.15009
\(673\) −198195. + 272792.i −0.437586 + 0.602285i −0.969673 0.244404i \(-0.921408\pi\)
0.532088 + 0.846689i \(0.321408\pi\)
\(674\) 72685.4 223703.i 0.160003 0.492437i
\(675\) 122220. + 376154.i 0.268246 + 0.825577i
\(676\) −128475. + 93342.8i −0.281142 + 0.204262i
\(677\) 439699. + 605194.i 0.959353 + 1.32044i 0.947245 + 0.320510i \(0.103854\pi\)
0.0121078 + 0.999927i \(0.496146\pi\)
\(678\) 71754.3 23314.4i 0.156095 0.0507183i
\(679\) 409563. + 133075.i 0.888344 + 0.288640i
\(680\) −15815.3 11490.5i −0.0342027 0.0248497i
\(681\) 591.087i 0.00127455i
\(682\) −15875.5 33057.9i −0.0341318 0.0710733i
\(683\) −591342. −1.26764 −0.633822 0.773479i \(-0.718515\pi\)
−0.633822 + 0.773479i \(0.718515\pi\)
\(684\) 25536.7 35148.3i 0.0545825 0.0751263i
\(685\) −79186.1 + 243710.i −0.168759 + 0.519388i
\(686\) −42226.0 129958.i −0.0897288 0.276157i
\(687\) 95538.9 69413.1i 0.202426 0.147071i
\(688\) 82227.3 + 113176.i 0.173716 + 0.239099i
\(689\) −270942. + 88034.5i −0.570740 + 0.185445i
\(690\) 139535. + 45337.7i 0.293080 + 0.0952273i
\(691\) −187294. 136077.i −0.392253 0.284989i 0.374125 0.927378i \(-0.377943\pi\)
−0.766378 + 0.642390i \(0.777943\pi\)
\(692\) 87917.0i 0.183595i
\(693\) −7286.86 + 39906.6i −0.0151731 + 0.0830957i
\(694\) 162724. 0.337856
\(695\) −126830. + 174566.i −0.262574 + 0.361402i
\(696\) −20165.1 + 62061.7i −0.0416276 + 0.128116i
\(697\) −7087.88 21814.3i −0.0145899 0.0449030i
\(698\) −77578.5 + 56364.1i −0.159232 + 0.115689i
\(699\) −266421. 366698.i −0.545274 0.750505i
\(700\) 381856. 124073.i 0.779298 0.253209i
\(701\) 46147.3 + 14994.2i 0.0939097 + 0.0305131i 0.355595 0.934640i \(-0.384278\pi\)
−0.261685 + 0.965153i \(0.584278\pi\)
\(702\) −135470. 98424.5i −0.274896 0.199723i
\(703\) 842929.i 1.70561i
\(704\) −8067.26 + 14952.4i −0.0162772 + 0.0301694i
\(705\) −42333.8 −0.0851743
\(706\) −3827.05 + 5267.48i −0.00767811 + 0.0105680i
\(707\) −279666. + 860722.i −0.559500 + 1.72196i
\(708\) −167471. 515423.i −0.334098 1.02825i
\(709\) 472771. 343488.i 0.940499 0.683313i −0.00804160 0.999968i \(-0.502560\pi\)
0.948541 + 0.316655i \(0.102560\pi\)
\(710\) −6782.75 9335.66i −0.0134552 0.0185195i
\(711\) −46174.9 + 15003.1i −0.0913412 + 0.0296785i
\(712\) −318802. 103585.i −0.628871 0.204332i
\(713\) 136971. + 99515.1i 0.269432 + 0.195754i
\(714\) 34637.5i 0.0679439i
\(715\) 152593. 20501.0i 0.298485 0.0401017i
\(716\) 496212. 0.967923
\(717\) 421436. 580057.i 0.819772 1.12832i
\(718\) −46411.1 + 142839.i −0.0900270 + 0.277075i
\(719\) −81167.1 249807.i −0.157008 0.483221i 0.841351 0.540490i \(-0.181761\pi\)
−0.998359 + 0.0572683i \(0.981761\pi\)
\(720\) 5477.64 3979.74i 0.0105664 0.00767696i
\(721\) 31670.9 + 43591.3i 0.0609242 + 0.0838550i
\(722\) 359047. 116662.i 0.688775 0.223797i
\(723\) −202325. 65739.5i −0.387056 0.125762i
\(724\) 231199. + 167976.i 0.441071 + 0.320457i
\(725\) 78317.1i 0.148998i
\(726\) 172829. + 138443.i 0.327902 + 0.262663i
\(727\) 172573. 0.326516 0.163258 0.986583i \(-0.447800\pi\)
0.163258 + 0.986583i \(0.447800\pi\)
\(728\) −223247. + 307274.i −0.421234 + 0.579779i
\(729\) 174083. 535773.i 0.327568 1.00815i
\(730\) 28352.4 + 87259.8i 0.0532040 + 0.163745i
\(731\) 36836.6 26763.3i 0.0689357 0.0500847i
\(732\) 319257. + 439420.i 0.595825 + 0.820082i
\(733\) −174118. + 56574.4i −0.324068 + 0.105296i −0.466533 0.884504i \(-0.654497\pi\)
0.142465 + 0.989800i \(0.454497\pi\)
\(734\) 41979.4 + 13639.9i 0.0779191 + 0.0253175i
\(735\) 74865.9 + 54393.2i 0.138583 + 0.100686i
\(736\) 988963.i 1.82568i
\(737\) −3015.91 22448.0i −0.00555243 0.0413279i
\(738\) −5852.22 −0.0107450
\(739\) 177886. 244839.i 0.325726 0.448323i −0.614479 0.788933i \(-0.710634\pi\)
0.940205 + 0.340610i \(0.110634\pi\)
\(740\) 57114.4 175780.i 0.104299 0.321001i
\(741\) 201723. + 620840.i 0.367383 + 1.13069i
\(742\) 185315. 134639.i 0.336591 0.244547i
\(743\) −271424. 373583.i −0.491666 0.676721i 0.489028 0.872268i \(-0.337352\pi\)
−0.980694 + 0.195547i \(0.937352\pi\)
\(744\) 72446.8 23539.4i 0.130880 0.0425255i
\(745\) −346886. 112710.i −0.624991 0.203072i
\(746\) −271014. 196904.i −0.486984 0.353815i
\(747\) 1317.89i 0.00236178i
\(748\) 53654.7 + 28948.2i 0.0958969 + 0.0517390i
\(749\) 491142. 0.875474
\(750\) −101927. + 140290.i −0.181203 + 0.249405i
\(751\) 185329. 570383.i 0.328596 1.01132i −0.641195 0.767378i \(-0.721561\pi\)
0.969791 0.243937i \(-0.0784390\pi\)
\(752\) −18068.6 55609.5i −0.0319514 0.0983362i
\(753\) −750054. + 544946.i −1.32283 + 0.961089i
\(754\) 19489.5 + 26825.0i 0.0342814 + 0.0471843i
\(755\) 86535.8 28117.2i 0.151811 0.0493262i
\(756\) −546428. 177545.i −0.956069 0.310646i
\(757\) −506946. 368318.i −0.884647 0.642734i 0.0498296 0.998758i \(-0.484132\pi\)
−0.934477 + 0.356024i \(0.884132\pi\)
\(758\) 229717.i 0.399812i
\(759\) −1.00570e6 183639.i −1.74576 0.318773i
\(760\) 296230. 0.512864
\(761\) 23646.8 32547.1i 0.0408323 0.0562008i −0.788113 0.615531i \(-0.788942\pi\)
0.828945 + 0.559330i \(0.188942\pi\)
\(762\) −52583.0 + 161834.i −0.0905598 + 0.278715i
\(763\) −56426.1 173662.i −0.0969240 0.298301i
\(764\) 46046.1 33454.5i 0.0788871 0.0573149i
\(765\) −1295.32 1782.86i −0.00221338 0.00304646i
\(766\) −291064. + 94572.4i −0.496056 + 0.161178i
\(767\) −585164. 190131.i −0.994688 0.323194i
\(768\) 186090. + 135202.i 0.315501 + 0.229225i
\(769\) 816302.i 1.38038i 0.723629 + 0.690189i \(0.242473\pi\)
−0.723629 + 0.690189i \(0.757527\pi\)
\(770\) −111593.