Properties

Label 403.2.v.a.36.17
Level 403
Weight 2
Character 403.36
Analytic conductor 3.218
Analytic rank 0
Dimension 70
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(70\)
Relative dimension: \(35\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 36.17
Character \(\chi\) \(=\) 403.36
Dual form 403.2.v.a.56.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.135075 + 0.0779857i) q^{2} +3.20789 q^{3} +(-0.987836 + 1.71098i) q^{4} +(1.02567 - 0.592170i) q^{5} +(-0.433307 + 0.250170i) q^{6} +(3.25567 - 1.87966i) q^{7} -0.620091i q^{8} +7.29058 q^{9} +O(q^{10})\) \(q+(-0.135075 + 0.0779857i) q^{2} +3.20789 q^{3} +(-0.987836 + 1.71098i) q^{4} +(1.02567 - 0.592170i) q^{5} +(-0.433307 + 0.250170i) q^{6} +(3.25567 - 1.87966i) q^{7} -0.620091i q^{8} +7.29058 q^{9} +(-0.0923615 + 0.159975i) q^{10} +(-3.77898 - 2.18179i) q^{11} +(-3.16887 + 5.48865i) q^{12} +(-3.60197 + 0.160654i) q^{13} +(-0.293174 + 0.507792i) q^{14} +(3.29023 - 1.89962i) q^{15} +(-1.92731 - 3.33821i) q^{16} +(-1.10474 - 1.91347i) q^{17} +(-0.984777 + 0.568561i) q^{18} +(-5.99050 + 3.45862i) q^{19} +2.33987i q^{20} +(10.4438 - 6.02976i) q^{21} +0.680595 q^{22} +(3.79985 + 6.58153i) q^{23} -1.98919i q^{24} +(-1.79867 + 3.11539i) q^{25} +(0.474008 - 0.302603i) q^{26} +13.7637 q^{27} +7.42720i q^{28} +(0.918868 + 1.59153i) q^{29} +(-0.296286 + 0.513182i) q^{30} +(-2.96048 - 4.71546i) q^{31} +(1.59469 + 0.920697i) q^{32} +(-12.1226 - 6.99896i) q^{33} +(0.298447 + 0.172308i) q^{34} +(2.22616 - 3.85582i) q^{35} +(-7.20190 + 12.4741i) q^{36} +2.77697i q^{37} +(0.539446 - 0.934348i) q^{38} +(-11.5547 + 0.515361i) q^{39} +(-0.367199 - 0.636008i) q^{40} +(-1.71530 - 0.990328i) q^{41} +(-0.940470 + 1.62894i) q^{42} +(1.18280 + 2.04867i) q^{43} +(7.46602 - 4.31051i) q^{44} +(7.47771 - 4.31726i) q^{45} +(-1.02653 - 0.592668i) q^{46} +4.11241i q^{47} +(-6.18262 - 10.7086i) q^{48} +(3.56626 - 6.17694i) q^{49} -0.561082i q^{50} +(-3.54390 - 6.13821i) q^{51} +(3.28328 - 6.32161i) q^{52} +(-2.49369 - 4.31919i) q^{53} +(-1.85914 + 1.07337i) q^{54} -5.16796 q^{55} +(-1.16556 - 2.01881i) q^{56} +(-19.2169 + 11.0949i) q^{57} +(-0.248233 - 0.143317i) q^{58} +(6.91398 - 3.99179i) q^{59} +7.50604i q^{60} +(-5.27890 + 9.14333i) q^{61} +(0.767626 + 0.406067i) q^{62} +(23.7357 - 13.7038i) q^{63} +7.42205 q^{64} +(-3.59929 + 2.29775i) q^{65} +2.18328 q^{66} +(-1.05748 - 0.610535i) q^{67} +4.36522 q^{68} +(12.1895 + 21.1129i) q^{69} +0.694434i q^{70} -1.17285i q^{71} -4.52083i q^{72} +(2.81093 - 1.62289i) q^{73} +(-0.216564 - 0.375100i) q^{74} +(-5.76994 + 9.99383i) q^{75} -13.6662i q^{76} -16.4041 q^{77} +(1.52057 - 0.970717i) q^{78} +(-0.820938 + 1.42191i) q^{79} +(-3.95357 - 2.28259i) q^{80} +22.2808 q^{81} +0.308926 q^{82} +(8.33349 - 4.81134i) q^{83} +23.8256i q^{84} +(-2.26620 - 1.30839i) q^{85} +(-0.319535 - 0.184483i) q^{86} +(2.94763 + 5.10545i) q^{87} +(-1.35291 + 2.34331i) q^{88} +(7.00079 - 4.04191i) q^{89} +(-0.673369 + 1.16631i) q^{90} +(-11.4249 + 7.29352i) q^{91} -15.0145 q^{92} +(-9.49690 - 15.1267i) q^{93} +(-0.320710 - 0.555485i) q^{94} +(-4.09618 + 7.09479i) q^{95} +(5.11561 + 2.95350i) q^{96} +(4.69171 + 2.70876i) q^{97} +1.11247i q^{98} +(-27.5509 - 15.9065i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} + O(q^{10}) \) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} - q^{10} - 6q^{11} + 13q^{12} - 14q^{13} - 14q^{14} - 15q^{15} - 28q^{16} + 6q^{17} + 12q^{19} + 9q^{21} - 8q^{22} + 10q^{23} + 19q^{25} + 34q^{27} - 18q^{29} - 31q^{30} + 2q^{31} + 36q^{32} - 12q^{33} - 9q^{34} - 12q^{35} + 8q^{36} - 21q^{38} - 30q^{39} + 5q^{40} + 18q^{41} - 49q^{42} + 19q^{43} - 42q^{44} - 63q^{45} - 6q^{46} - 27q^{48} + 9q^{49} - 7q^{51} - 43q^{52} - 22q^{53} + 18q^{54} + 30q^{55} + 25q^{56} - 15q^{57} - 12q^{58} + 33q^{59} - 13q^{61} - 17q^{62} - 6q^{63} - 38q^{64} + 9q^{65} - 52q^{66} + 30q^{67} + 88q^{68} - 16q^{69} + 9q^{73} - 19q^{74} + 25q^{75} + 34q^{77} + 14q^{78} + 6q^{79} + 6q^{80} + 22q^{81} - 78q^{82} + 54q^{83} - 33q^{85} + 24q^{86} - 14q^{87} + 16q^{88} - 6q^{89} - 11q^{90} - 70q^{91} - 6q^{92} + 7q^{93} - 43q^{94} + 25q^{95} - 36q^{96} - 75q^{97} - 93q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.135075 + 0.0779857i −0.0955126 + 0.0551442i −0.546996 0.837136i \(-0.684229\pi\)
0.451483 + 0.892280i \(0.350895\pi\)
\(3\) 3.20789 1.85208 0.926039 0.377428i \(-0.123191\pi\)
0.926039 + 0.377428i \(0.123191\pi\)
\(4\) −0.987836 + 1.71098i −0.493918 + 0.855491i
\(5\) 1.02567 0.592170i 0.458693 0.264826i −0.252802 0.967518i \(-0.581352\pi\)
0.711494 + 0.702692i \(0.248019\pi\)
\(6\) −0.433307 + 0.250170i −0.176897 + 0.102131i
\(7\) 3.25567 1.87966i 1.23053 0.710446i 0.263388 0.964690i \(-0.415160\pi\)
0.967140 + 0.254244i \(0.0818268\pi\)
\(8\) 0.620091i 0.219235i
\(9\) 7.29058 2.43019
\(10\) −0.0923615 + 0.159975i −0.0292073 + 0.0505885i
\(11\) −3.77898 2.18179i −1.13940 0.657835i −0.193121 0.981175i \(-0.561861\pi\)
−0.946283 + 0.323340i \(0.895194\pi\)
\(12\) −3.16887 + 5.48865i −0.914775 + 1.58444i
\(13\) −3.60197 + 0.160654i −0.999007 + 0.0445574i
\(14\) −0.293174 + 0.507792i −0.0783539 + 0.135713i
\(15\) 3.29023 1.89962i 0.849534 0.490479i
\(16\) −1.92731 3.33821i −0.481829 0.834552i
\(17\) −1.10474 1.91347i −0.267940 0.464085i 0.700390 0.713760i \(-0.253009\pi\)
−0.968330 + 0.249675i \(0.919676\pi\)
\(18\) −0.984777 + 0.568561i −0.232114 + 0.134011i
\(19\) −5.99050 + 3.45862i −1.37432 + 0.793462i −0.991468 0.130350i \(-0.958390\pi\)
−0.382848 + 0.923811i \(0.625057\pi\)
\(20\) 2.33987i 0.523210i
\(21\) 10.4438 6.02976i 2.27903 1.31580i
\(22\) 0.680595 0.145103
\(23\) 3.79985 + 6.58153i 0.792323 + 1.37234i 0.924525 + 0.381122i \(0.124462\pi\)
−0.132202 + 0.991223i \(0.542205\pi\)
\(24\) 1.98919i 0.406041i
\(25\) −1.79867 + 3.11539i −0.359734 + 0.623078i
\(26\) 0.474008 0.302603i 0.0929607 0.0593453i
\(27\) 13.7637 2.64883
\(28\) 7.42720i 1.40361i
\(29\) 0.918868 + 1.59153i 0.170630 + 0.295539i 0.938640 0.344898i \(-0.112087\pi\)
−0.768011 + 0.640437i \(0.778753\pi\)
\(30\) −0.296286 + 0.513182i −0.0540942 + 0.0936938i
\(31\) −2.96048 4.71546i −0.531718 0.846922i
\(32\) 1.59469 + 0.920697i 0.281905 + 0.162758i
\(33\) −12.1226 6.99896i −2.11027 1.21836i
\(34\) 0.298447 + 0.172308i 0.0511832 + 0.0295507i
\(35\) 2.22616 3.85582i 0.376289 0.651752i
\(36\) −7.20190 + 12.4741i −1.20032 + 2.07901i
\(37\) 2.77697i 0.456532i 0.973599 + 0.228266i \(0.0733055\pi\)
−0.973599 + 0.228266i \(0.926694\pi\)
\(38\) 0.539446 0.934348i 0.0875097 0.151571i
\(39\) −11.5547 + 0.515361i −1.85024 + 0.0825237i
\(40\) −0.367199 0.636008i −0.0580593 0.100562i
\(41\) −1.71530 0.990328i −0.267885 0.154663i 0.360041 0.932936i \(-0.382763\pi\)
−0.627926 + 0.778273i \(0.716096\pi\)
\(42\) −0.940470 + 1.62894i −0.145118 + 0.251351i
\(43\) 1.18280 + 2.04867i 0.180376 + 0.312420i 0.942009 0.335589i \(-0.108935\pi\)
−0.761633 + 0.648009i \(0.775602\pi\)
\(44\) 7.46602 4.31051i 1.12554 0.649834i
\(45\) 7.47771 4.31726i 1.11471 0.643579i
\(46\) −1.02653 0.592668i −0.151354 0.0873841i
\(47\) 4.11241i 0.599857i 0.953962 + 0.299929i \(0.0969629\pi\)
−0.953962 + 0.299929i \(0.903037\pi\)
\(48\) −6.18262 10.7086i −0.892384 1.54565i
\(49\) 3.56626 6.17694i 0.509466 0.882421i
\(50\) 0.561082i 0.0793490i
\(51\) −3.54390 6.13821i −0.496245 0.859522i
\(52\) 3.28328 6.32161i 0.455309 0.876650i
\(53\) −2.49369 4.31919i −0.342534 0.593287i 0.642368 0.766396i \(-0.277952\pi\)
−0.984903 + 0.173109i \(0.944619\pi\)
\(54\) −1.85914 + 1.07337i −0.252997 + 0.146068i
\(55\) −5.16796 −0.696848
\(56\) −1.16556 2.01881i −0.155755 0.269775i
\(57\) −19.2169 + 11.0949i −2.54534 + 1.46955i
\(58\) −0.248233 0.143317i −0.0325945 0.0188185i
\(59\) 6.91398 3.99179i 0.900124 0.519687i 0.0228835 0.999738i \(-0.492715\pi\)
0.877240 + 0.480051i \(0.159382\pi\)
\(60\) 7.50604i 0.969026i
\(61\) −5.27890 + 9.14333i −0.675894 + 1.17068i 0.300312 + 0.953841i \(0.402909\pi\)
−0.976207 + 0.216842i \(0.930424\pi\)
\(62\) 0.767626 + 0.406067i 0.0974886 + 0.0515705i
\(63\) 23.7357 13.7038i 2.99042 1.72652i
\(64\) 7.42205 0.927757
\(65\) −3.59929 + 2.29775i −0.446437 + 0.285001i
\(66\) 2.18328 0.268743
\(67\) −1.05748 0.610535i −0.129191 0.0745887i 0.434011 0.900907i \(-0.357098\pi\)
−0.563203 + 0.826319i \(0.690431\pi\)
\(68\) 4.36522 0.529361
\(69\) 12.1895 + 21.1129i 1.46744 + 2.54169i
\(70\) 0.694434i 0.0830007i
\(71\) 1.17285i 0.139192i −0.997575 0.0695960i \(-0.977829\pi\)
0.997575 0.0695960i \(-0.0221710\pi\)
\(72\) 4.52083i 0.532784i
\(73\) 2.81093 1.62289i 0.328994 0.189945i −0.326400 0.945232i \(-0.605836\pi\)
0.655395 + 0.755287i \(0.272502\pi\)
\(74\) −0.216564 0.375100i −0.0251751 0.0436045i
\(75\) −5.76994 + 9.99383i −0.666256 + 1.15399i
\(76\) 13.6662i 1.56762i
\(77\) −16.4041 −1.86942
\(78\) 1.52057 0.970717i 0.172170 0.109912i
\(79\) −0.820938 + 1.42191i −0.0923627 + 0.159977i −0.908505 0.417874i \(-0.862775\pi\)
0.816142 + 0.577851i \(0.196109\pi\)
\(80\) −3.95357 2.28259i −0.442022 0.255202i
\(81\) 22.2808 2.47564
\(82\) 0.308926 0.0341152
\(83\) 8.33349 4.81134i 0.914720 0.528114i 0.0327731 0.999463i \(-0.489566\pi\)
0.881947 + 0.471349i \(0.156233\pi\)
\(84\) 23.8256i 2.59959i
\(85\) −2.26620 1.30839i −0.245804 0.141915i
\(86\) −0.319535 0.184483i −0.0344563 0.0198934i
\(87\) 2.94763 + 5.10545i 0.316019 + 0.547361i
\(88\) −1.35291 + 2.34331i −0.144221 + 0.249798i
\(89\) 7.00079 4.04191i 0.742083 0.428442i −0.0807433 0.996735i \(-0.525729\pi\)
0.822826 + 0.568293i \(0.192396\pi\)
\(90\) −0.673369 + 1.16631i −0.0709793 + 0.122940i
\(91\) −11.4249 + 7.29352i −1.19765 + 0.764569i
\(92\) −15.0145 −1.56537
\(93\) −9.49690 15.1267i −0.984783 1.56856i
\(94\) −0.320710 0.555485i −0.0330787 0.0572939i
\(95\) −4.09618 + 7.09479i −0.420259 + 0.727910i
\(96\) 5.11561 + 2.95350i 0.522110 + 0.301440i
\(97\) 4.69171 + 2.70876i 0.476371 + 0.275033i 0.718903 0.695111i \(-0.244645\pi\)
−0.242532 + 0.970143i \(0.577978\pi\)
\(98\) 1.11247i 0.112376i
\(99\) −27.5509 15.9065i −2.76897 1.59867i
\(100\) −3.55358 6.15499i −0.355358 0.615499i
\(101\) −2.48475 4.30371i −0.247242 0.428235i 0.715518 0.698594i \(-0.246191\pi\)
−0.962759 + 0.270359i \(0.912857\pi\)
\(102\) 0.957386 + 0.552747i 0.0947954 + 0.0547301i
\(103\) −5.65409 9.79318i −0.557114 0.964951i −0.997736 0.0672575i \(-0.978575\pi\)
0.440621 0.897693i \(-0.354758\pi\)
\(104\) 0.0996201 + 2.23355i 0.00976856 + 0.219018i
\(105\) 7.14127 12.3691i 0.696917 1.20710i
\(106\) 0.673671 + 0.388944i 0.0654327 + 0.0377776i
\(107\) −11.5892 −1.12037 −0.560186 0.828367i \(-0.689270\pi\)
−0.560186 + 0.828367i \(0.689270\pi\)
\(108\) −13.5963 + 23.5495i −1.30830 + 2.26605i
\(109\) 17.0325i 1.63141i −0.578465 0.815707i \(-0.696348\pi\)
0.578465 0.815707i \(-0.303652\pi\)
\(110\) 0.698064 0.403027i 0.0665578 0.0384272i
\(111\) 8.90823i 0.845532i
\(112\) −12.5494 7.24540i −1.18581 0.684626i
\(113\) 17.8554 1.67970 0.839848 0.542822i \(-0.182644\pi\)
0.839848 + 0.542822i \(0.182644\pi\)
\(114\) 1.73048 2.99729i 0.162075 0.280722i
\(115\) 7.79477 + 4.50031i 0.726866 + 0.419656i
\(116\) −3.63077 −0.337108
\(117\) −26.2604 + 1.17126i −2.42778 + 0.108283i
\(118\) −0.622605 + 1.07838i −0.0573155 + 0.0992733i
\(119\) −7.19336 4.15309i −0.659414 0.380713i
\(120\) −1.17794 2.04024i −0.107530 0.186248i
\(121\) 4.02044 + 6.96361i 0.365495 + 0.633055i
\(122\) 1.64672i 0.149087i
\(123\) −5.50250 3.17687i −0.496143 0.286449i
\(124\) 10.9925 0.407225i 0.987159 0.0365699i
\(125\) 10.1822i 0.910721i
\(126\) −2.13741 + 3.70209i −0.190415 + 0.329809i
\(127\) −8.13816 −0.722145 −0.361072 0.932538i \(-0.617589\pi\)
−0.361072 + 0.932538i \(0.617589\pi\)
\(128\) −4.19193 + 2.42021i −0.370517 + 0.213918i
\(129\) 3.79430 + 6.57193i 0.334070 + 0.578626i
\(130\) 0.306983 0.591063i 0.0269242 0.0518397i
\(131\) 10.6843 18.5057i 0.933490 1.61685i 0.156185 0.987728i \(-0.450080\pi\)
0.777305 0.629124i \(-0.216586\pi\)
\(132\) 23.9502 13.8277i 2.08460 1.20354i
\(133\) −13.0021 + 22.5202i −1.12742 + 1.95275i
\(134\) 0.190452 0.0164525
\(135\) 14.1170 8.15045i 1.21500 0.701479i
\(136\) −1.18653 + 0.685042i −0.101744 + 0.0587419i
\(137\) 21.5670i 1.84259i 0.388859 + 0.921297i \(0.372869\pi\)
−0.388859 + 0.921297i \(0.627131\pi\)
\(138\) −3.29300 1.90122i −0.280319 0.161842i
\(139\) −2.70145 + 4.67906i −0.229134 + 0.396872i −0.957552 0.288261i \(-0.906923\pi\)
0.728417 + 0.685134i \(0.240256\pi\)
\(140\) 4.39816 + 7.61783i 0.371712 + 0.643825i
\(141\) 13.1922i 1.11098i
\(142\) 0.0914657 + 0.158423i 0.00767563 + 0.0132946i
\(143\) 13.9623 + 7.25165i 1.16758 + 0.606413i
\(144\) −14.0512 24.3375i −1.17094 2.02812i
\(145\) 1.88491 + 1.08825i 0.156533 + 0.0903744i
\(146\) −0.253125 + 0.438425i −0.0209487 + 0.0362843i
\(147\) 11.4402 19.8150i 0.943570 1.63431i
\(148\) −4.75135 2.74320i −0.390559 0.225489i
\(149\) 7.52567 4.34495i 0.616527 0.355952i −0.158989 0.987280i \(-0.550823\pi\)
0.775515 + 0.631329i \(0.217490\pi\)
\(150\) 1.79989i 0.146961i
\(151\) 1.35206i 0.110029i −0.998486 0.0550146i \(-0.982479\pi\)
0.998486 0.0550146i \(-0.0175205\pi\)
\(152\) 2.14466 + 3.71466i 0.173955 + 0.301299i
\(153\) −8.05422 13.9503i −0.651145 1.12782i
\(154\) 2.21579 1.27929i 0.178554 0.103088i
\(155\) −5.82882 3.08339i −0.468182 0.247664i
\(156\) 10.5324 20.2790i 0.843268 1.62362i
\(157\) −8.88537 −0.709129 −0.354565 0.935031i \(-0.615371\pi\)
−0.354565 + 0.935031i \(0.615371\pi\)
\(158\) 0.256086i 0.0203731i
\(159\) −7.99948 13.8555i −0.634400 1.09881i
\(160\) 2.18084 0.172410
\(161\) 24.7421 + 14.2849i 1.94995 + 1.12581i
\(162\) −3.00958 + 1.73758i −0.236455 + 0.136518i
\(163\) −2.78301 1.60677i −0.217982 0.125852i 0.387033 0.922066i \(-0.373500\pi\)
−0.605016 + 0.796214i \(0.706833\pi\)
\(164\) 3.38887 1.95657i 0.264626 0.152782i
\(165\) −16.5783 −1.29062
\(166\) −0.750432 + 1.29979i −0.0582448 + 0.100883i
\(167\) 9.43656i 0.730223i −0.930964 0.365111i \(-0.881031\pi\)
0.930964 0.365111i \(-0.118969\pi\)
\(168\) −3.73900 6.47614i −0.288470 0.499645i
\(169\) 12.9484 1.15734i 0.996029 0.0890263i
\(170\) 0.408143 0.0313032
\(171\) −43.6742 + 25.2153i −3.33985 + 1.92826i
\(172\) −4.67366 −0.356363
\(173\) −11.4947 −0.873925 −0.436962 0.899480i \(-0.643946\pi\)
−0.436962 + 0.899480i \(0.643946\pi\)
\(174\) −0.796304 0.459746i −0.0603676 0.0348533i
\(175\) 13.5236i 1.02229i
\(176\) 16.8200i 1.26786i
\(177\) 22.1793 12.8052i 1.66710 0.962500i
\(178\) −0.630423 + 1.09192i −0.0472522 + 0.0818432i
\(179\) 15.6284 1.16812 0.584061 0.811710i \(-0.301463\pi\)
0.584061 + 0.811710i \(0.301463\pi\)
\(180\) 17.0590i 1.27150i
\(181\) −9.27759 16.0693i −0.689598 1.19442i −0.971968 0.235113i \(-0.924454\pi\)
0.282370 0.959306i \(-0.408879\pi\)
\(182\) 0.974424 1.87615i 0.0722291 0.139069i
\(183\) −16.9342 + 29.3308i −1.25181 + 2.16820i
\(184\) 4.08115 2.35625i 0.300867 0.173705i
\(185\) 1.64444 + 2.84825i 0.120902 + 0.209408i
\(186\) 2.46246 + 1.30262i 0.180556 + 0.0955127i
\(187\) 9.64129i 0.705041i
\(188\) −7.03627 4.06239i −0.513173 0.296280i
\(189\) 44.8101 25.8711i 3.25946 1.88185i
\(190\) 1.27777i 0.0926994i
\(191\) 25.8904 1.87336 0.936680 0.350186i \(-0.113882\pi\)
0.936680 + 0.350186i \(0.113882\pi\)
\(192\) 23.8092 1.71828
\(193\) 9.93943i 0.715456i −0.933826 0.357728i \(-0.883552\pi\)
0.933826 0.357728i \(-0.116448\pi\)
\(194\) −0.844978 −0.0606659
\(195\) −11.5461 + 7.37095i −0.826836 + 0.527845i
\(196\) 7.04576 + 12.2036i 0.503269 + 0.871687i
\(197\) 2.68485 + 1.55010i 0.191288 + 0.110440i 0.592585 0.805508i \(-0.298107\pi\)
−0.401298 + 0.915948i \(0.631441\pi\)
\(198\) 4.96193 0.352629
\(199\) 16.8440 1.19404 0.597021 0.802225i \(-0.296351\pi\)
0.597021 + 0.802225i \(0.296351\pi\)
\(200\) 1.93183 + 1.11534i 0.136601 + 0.0788665i
\(201\) −3.39227 1.95853i −0.239273 0.138144i
\(202\) 0.671256 + 0.387550i 0.0472294 + 0.0272679i
\(203\) 5.98306 + 3.45432i 0.419929 + 0.242446i
\(204\) 14.0032 0.980418
\(205\) −2.34577 −0.163836
\(206\) 1.52746 + 0.881877i 0.106423 + 0.0614433i
\(207\) 27.7031 + 47.9832i 1.92550 + 3.33506i
\(208\) 7.47843 + 11.7145i 0.518536 + 0.812254i
\(209\) 30.1840 2.08787
\(210\) 2.22767i 0.153724i
\(211\) 0.152465 0.0104961 0.00524806 0.999986i \(-0.498329\pi\)
0.00524806 + 0.999986i \(0.498329\pi\)
\(212\) 9.85342 0.676736
\(213\) 3.76238i 0.257794i
\(214\) 1.56542 0.903793i 0.107010 0.0617820i
\(215\) 2.42632 + 1.40084i 0.165474 + 0.0955364i
\(216\) 8.53476i 0.580717i
\(217\) −18.5018 9.78728i −1.25599 0.664404i
\(218\) 1.32829 + 2.30066i 0.0899631 + 0.155821i
\(219\) 9.01716 5.20606i 0.609323 0.351793i
\(220\) 5.10510 8.84230i 0.344186 0.596148i
\(221\) 4.28666 + 6.71479i 0.288352 + 0.451686i
\(222\) −0.694715 1.20328i −0.0466262 0.0807590i
\(223\) 6.08316i 0.407358i −0.979038 0.203679i \(-0.934710\pi\)
0.979038 0.203679i \(-0.0652899\pi\)
\(224\) 6.92240 0.462522
\(225\) −13.1133 + 22.7130i −0.874223 + 1.51420i
\(226\) −2.41182 + 1.39247i −0.160432 + 0.0926255i
\(227\) 1.22710i 0.0814453i 0.999170 + 0.0407227i \(0.0129660\pi\)
−0.999170 + 0.0407227i \(0.987034\pi\)
\(228\) 43.8397i 2.90336i
\(229\) −8.20060 4.73462i −0.541911 0.312873i 0.203942 0.978983i \(-0.434625\pi\)
−0.745853 + 0.666110i \(0.767958\pi\)
\(230\) −1.40384 −0.0925664
\(231\) −52.6227 −3.46232
\(232\) 0.986892 0.569782i 0.0647926 0.0374080i
\(233\) 2.87639 0.188439 0.0942193 0.995551i \(-0.469965\pi\)
0.0942193 + 0.995551i \(0.469965\pi\)
\(234\) 3.45579 2.20615i 0.225912 0.144220i
\(235\) 2.43525 + 4.21797i 0.158858 + 0.275150i
\(236\) 15.7729i 1.02673i
\(237\) −2.63348 + 4.56132i −0.171063 + 0.296290i
\(238\) 1.29553 0.0839765
\(239\) −2.27205 + 1.31177i −0.146967 + 0.0848514i −0.571680 0.820476i \(-0.693708\pi\)
0.424713 + 0.905328i \(0.360375\pi\)
\(240\) −12.6826 7.32232i −0.818660 0.472654i
\(241\) −5.08923 + 2.93827i −0.327826 + 0.189270i −0.654875 0.755737i \(-0.727279\pi\)
0.327050 + 0.945007i \(0.393946\pi\)
\(242\) −1.08612 0.627074i −0.0698187 0.0403098i
\(243\) 30.1833 1.93626
\(244\) −10.4294 18.0642i −0.667673 1.15644i
\(245\) 8.44732i 0.539680i
\(246\) 0.991001 0.0631839
\(247\) 21.0220 13.4202i 1.33760 0.853910i
\(248\) −2.92402 + 1.83577i −0.185675 + 0.116571i
\(249\) 26.7330 15.4343i 1.69413 0.978108i
\(250\) −0.794064 1.37536i −0.0502210 0.0869853i
\(251\) 5.70098 + 9.87439i 0.359843 + 0.623266i 0.987934 0.154874i \(-0.0494970\pi\)
−0.628092 + 0.778139i \(0.716164\pi\)
\(252\) 54.1486i 3.41104i
\(253\) 33.1619i 2.08487i
\(254\) 1.09926 0.634660i 0.0689740 0.0398221i
\(255\) −7.26973 4.19718i −0.455248 0.262838i
\(256\) −7.04457 + 12.2016i −0.440286 + 0.762597i
\(257\) 3.45297 5.98072i 0.215390 0.373067i −0.738003 0.674798i \(-0.764231\pi\)
0.953393 + 0.301730i \(0.0975642\pi\)
\(258\) −1.02503 0.591803i −0.0638158 0.0368440i
\(259\) 5.21977 + 9.04091i 0.324341 + 0.561775i
\(260\) −0.375909 8.42813i −0.0233129 0.522690i
\(261\) 6.69908 + 11.6031i 0.414663 + 0.718217i
\(262\) 3.33289i 0.205906i
\(263\) 11.6044 + 20.0995i 0.715561 + 1.23939i 0.962743 + 0.270419i \(0.0871622\pi\)
−0.247182 + 0.968969i \(0.579504\pi\)
\(264\) −4.33999 + 7.51709i −0.267108 + 0.462645i
\(265\) −5.11539 2.95337i −0.314236 0.181424i
\(266\) 4.05590i 0.248683i
\(267\) 22.4578 12.9660i 1.37440 0.793507i
\(268\) 2.08923 1.20622i 0.127620 0.0736814i
\(269\) −27.8673 −1.69910 −0.849549 0.527509i \(-0.823126\pi\)
−0.849549 + 0.527509i \(0.823126\pi\)
\(270\) −1.27124 + 2.20185i −0.0773651 + 0.134000i
\(271\) −23.9742 + 13.8415i −1.45633 + 0.840811i −0.998828 0.0483990i \(-0.984588\pi\)
−0.457499 + 0.889210i \(0.651255\pi\)
\(272\) −4.25838 + 7.37573i −0.258202 + 0.447219i
\(273\) −36.6497 + 23.3968i −2.21814 + 1.41604i
\(274\) −1.68192 2.91317i −0.101608 0.175991i
\(275\) 13.5943 7.84865i 0.819765 0.473292i
\(276\) −48.1650 −2.89919
\(277\) 1.39968 2.42432i 0.0840986 0.145663i −0.820908 0.571060i \(-0.806532\pi\)
0.905007 + 0.425397i \(0.139866\pi\)
\(278\) 0.842699i 0.0505418i
\(279\) −21.5836 34.3784i −1.29218 2.05818i
\(280\) −2.39096 1.38042i −0.142887 0.0824959i
\(281\) 4.27365i 0.254945i −0.991842 0.127472i \(-0.959314\pi\)
0.991842 0.127472i \(-0.0406864\pi\)
\(282\) −1.02880 1.78194i −0.0612643 0.106113i
\(283\) 9.43654 + 16.3446i 0.560944 + 0.971583i 0.997414 + 0.0718648i \(0.0228950\pi\)
−0.436470 + 0.899719i \(0.643772\pi\)
\(284\) 2.00673 + 1.15859i 0.119078 + 0.0687494i
\(285\) −13.1401 + 22.7593i −0.778352 + 1.34815i
\(286\) −2.45148 + 0.109340i −0.144959 + 0.00646542i
\(287\) −7.44593 −0.439519
\(288\) 11.6262 + 6.71242i 0.685083 + 0.395533i
\(289\) 6.05908 10.4946i 0.356417 0.617332i
\(290\) −0.339472 −0.0199345
\(291\) 15.0505 + 8.68941i 0.882276 + 0.509382i
\(292\) 6.41260i 0.375269i
\(293\) 5.46792 3.15691i 0.319439 0.184428i −0.331703 0.943384i \(-0.607623\pi\)
0.651143 + 0.758955i \(0.274290\pi\)
\(294\) 3.56868i 0.208130i
\(295\) 4.72763 8.18850i 0.275253 0.476753i
\(296\) 1.72198 0.100088
\(297\) −52.0128 30.0296i −3.01809 1.74249i
\(298\) −0.677687 + 1.17379i −0.0392574 + 0.0679958i
\(299\) −14.7443 23.0960i −0.852685 1.33568i
\(300\) −11.3995 19.7445i −0.658152 1.13995i
\(301\) 7.70163 + 4.44654i 0.443914 + 0.256294i
\(302\) 0.105441 + 0.182630i 0.00606747 + 0.0105092i
\(303\) −7.97081 13.8058i −0.457911 0.793125i
\(304\) 23.0912 + 13.3317i 1.32437 + 0.764625i
\(305\) 12.5040i 0.715978i
\(306\) 2.17585 + 1.25623i 0.124385 + 0.0718138i
\(307\) 0.137276 + 0.0792565i 0.00783477 + 0.00452341i 0.503912 0.863755i \(-0.331893\pi\)
−0.496078 + 0.868278i \(0.665227\pi\)
\(308\) 16.2046 28.0672i 0.923343 1.59928i
\(309\) −18.1377 31.4155i −1.03182 1.78716i
\(310\) 1.02779 0.0380751i 0.0583745 0.00216252i
\(311\) −2.82159 −0.159997 −0.0799987 0.996795i \(-0.525492\pi\)
−0.0799987 + 0.996795i \(0.525492\pi\)
\(312\) 0.319571 + 7.16499i 0.0180921 + 0.405638i
\(313\) −6.35160 + 11.0013i −0.359014 + 0.621830i −0.987796 0.155751i \(-0.950220\pi\)
0.628782 + 0.777581i \(0.283554\pi\)
\(314\) 1.20019 0.692932i 0.0677308 0.0391044i
\(315\) 16.2300 28.1111i 0.914455 1.58388i
\(316\) −1.62191 2.80922i −0.0912393 0.158031i
\(317\) −12.4086 7.16411i −0.696937 0.402377i 0.109269 0.994012i \(-0.465149\pi\)
−0.806205 + 0.591636i \(0.798482\pi\)
\(318\) 2.16106 + 1.24769i 0.121186 + 0.0699670i
\(319\) 8.01912i 0.448985i
\(320\) 7.61256 4.39511i 0.425555 0.245694i
\(321\) −37.1770 −2.07502
\(322\) −4.45606 −0.248327
\(323\) 13.2359 + 7.64178i 0.736468 + 0.425200i
\(324\) −22.0098 + 38.1221i −1.22277 + 2.11789i
\(325\) 5.97826 11.5105i 0.331614 0.638488i
\(326\) 0.501221 0.0277601
\(327\) 54.6383i 3.02151i
\(328\) −0.614094 + 1.06364i −0.0339077 + 0.0587298i
\(329\) 7.72995 + 13.3887i 0.426166 + 0.738141i
\(330\) 2.23931 1.29287i 0.123270 0.0711701i
\(331\) 31.7023i 1.74251i 0.490828 + 0.871257i \(0.336694\pi\)
−0.490828 + 0.871257i \(0.663306\pi\)
\(332\) 19.0113i 1.04338i
\(333\) 20.2457i 1.10946i
\(334\) 0.735917 + 1.27464i 0.0402676 + 0.0697455i
\(335\) −1.44616 −0.0790122
\(336\) −40.2571 23.2425i −2.19621 1.26798i
\(337\) 17.7287 0.965743 0.482871 0.875691i \(-0.339594\pi\)
0.482871 + 0.875691i \(0.339594\pi\)
\(338\) −1.65875 + 1.16612i −0.0902241 + 0.0634284i
\(339\) 57.2783 3.11093
\(340\) 4.47727 2.58495i 0.242814 0.140189i
\(341\) 0.899422 + 24.2788i 0.0487064 + 1.31477i
\(342\) 3.93287 6.81193i 0.212665 0.368347i
\(343\) 0.498187i 0.0268996i
\(344\) 1.27036 0.733446i 0.0684935 0.0395447i
\(345\) 25.0048 + 14.4365i 1.34621 + 0.777236i
\(346\) 1.55265 0.896421i 0.0834708 0.0481919i
\(347\) 5.83617 + 10.1085i 0.313302 + 0.542655i 0.979075 0.203499i \(-0.0652315\pi\)
−0.665773 + 0.746154i \(0.731898\pi\)
\(348\) −11.6471 −0.624351
\(349\) 12.2455 7.06994i 0.655486 0.378445i −0.135069 0.990836i \(-0.543125\pi\)
0.790555 + 0.612391i \(0.209792\pi\)
\(350\) −1.05465 1.82670i −0.0563732 0.0976412i
\(351\) −49.5765 + 2.21120i −2.64620 + 0.118025i
\(352\) −4.01754 6.95859i −0.214136 0.370894i
\(353\) 10.5767i 0.562940i −0.959570 0.281470i \(-0.909178\pi\)
0.959570 0.281470i \(-0.0908220\pi\)
\(354\) −1.99725 + 3.45934i −0.106153 + 0.183862i
\(355\) −0.694527 1.20296i −0.0368617 0.0638463i
\(356\) 15.9710i 0.846461i
\(357\) −23.0755 13.3227i −1.22129 0.705110i
\(358\) −2.11101 + 1.21879i −0.111570 + 0.0644151i
\(359\) −29.7822 + 17.1948i −1.57185 + 0.907505i −0.575902 + 0.817519i \(0.695349\pi\)
−0.995943 + 0.0899864i \(0.971318\pi\)
\(360\) −2.67709 4.63686i −0.141095 0.244384i
\(361\) 14.4241 24.9833i 0.759163 1.31491i
\(362\) 2.50635 + 1.44704i 0.131731 + 0.0760547i
\(363\) 12.8971 + 22.3385i 0.676924 + 1.17247i
\(364\) −1.19321 26.7525i −0.0625411 1.40221i
\(365\) 1.92205 3.32909i 0.100605 0.174253i
\(366\) 5.28249i 0.276120i
\(367\) 2.57013 4.45159i 0.134159 0.232371i −0.791117 0.611665i \(-0.790500\pi\)
0.925276 + 0.379294i \(0.123833\pi\)
\(368\) 14.6470 25.3694i 0.763528 1.32247i
\(369\) −12.5055 7.22007i −0.651012 0.375862i
\(370\) −0.444246 0.256486i −0.0230952 0.0133340i
\(371\) −16.2372 9.37458i −0.842996 0.486704i
\(372\) 35.2629 1.30634i 1.82830 0.0677303i
\(373\) −14.8846 + 25.7810i −0.770697 + 1.33489i 0.166484 + 0.986044i \(0.446759\pi\)
−0.937181 + 0.348843i \(0.886575\pi\)
\(374\) −0.751883 1.30230i −0.0388789 0.0673403i
\(375\) 32.6633i 1.68673i
\(376\) 2.55007 0.131510
\(377\) −3.56542 5.58501i −0.183629 0.287643i
\(378\) −4.03516 + 6.98910i −0.207546 + 0.359481i
\(379\) 14.4828i 0.743934i 0.928246 + 0.371967i \(0.121316\pi\)
−0.928246 + 0.371967i \(0.878684\pi\)
\(380\) −8.09271 14.0170i −0.415147 0.719056i
\(381\) −26.1063 −1.33747
\(382\) −3.49715 + 2.01908i −0.178930 + 0.103305i
\(383\) 7.15642i 0.365676i 0.983143 + 0.182838i \(0.0585284\pi\)
−0.983143 + 0.182838i \(0.941472\pi\)
\(384\) −13.4472 + 7.76377i −0.686227 + 0.396193i
\(385\) −16.8252 + 9.71403i −0.857491 + 0.495073i
\(386\) 0.775133 + 1.34257i 0.0394533 + 0.0683350i
\(387\) 8.62331 + 14.9360i 0.438348 + 0.759240i
\(388\) −9.26928 + 5.35162i −0.470577 + 0.271687i
\(389\) 2.26878 3.92965i 0.115032 0.199241i −0.802761 0.596301i \(-0.796636\pi\)
0.917792 + 0.397060i \(0.129970\pi\)
\(390\) 0.984768 1.89607i 0.0498657 0.0960111i
\(391\) 8.39572 14.5418i 0.424590 0.735411i
\(392\) −3.83027 2.21141i −0.193458 0.111693i
\(393\) 34.2740 59.3644i 1.72890 2.99454i
\(394\) −0.483543 −0.0243605
\(395\) 1.94454i 0.0978403i
\(396\) 54.4316 31.4261i 2.73529 1.57922i
\(397\) −4.05806 + 2.34292i −0.203668 + 0.117588i −0.598365 0.801223i \(-0.704183\pi\)
0.394697 + 0.918811i \(0.370849\pi\)
\(398\) −2.27521 + 1.31360i −0.114046 + 0.0658446i
\(399\) −41.7093 + 72.2426i −2.08807 + 3.61665i
\(400\) 13.8664 0.693321
\(401\) −21.6384 + 12.4929i −1.08057 + 0.623866i −0.931050 0.364893i \(-0.881106\pi\)
−0.149519 + 0.988759i \(0.547772\pi\)
\(402\) 0.610950 0.0304714
\(403\) 11.4211 + 16.5093i 0.568926 + 0.822389i
\(404\) 9.81810 0.488469
\(405\) 22.8527 13.1940i 1.13556 0.655616i
\(406\) −1.07755 −0.0534780
\(407\) 6.05878 10.4941i 0.300323 0.520174i
\(408\) −3.80625 + 2.19754i −0.188438 + 0.108795i
\(409\) −20.1992 + 11.6620i −0.998786 + 0.576649i −0.907889 0.419211i \(-0.862307\pi\)
−0.0908971 + 0.995860i \(0.528973\pi\)
\(410\) 0.316855 0.182936i 0.0156484 0.00903459i
\(411\) 69.1847i 3.41263i
\(412\) 22.3413 1.10068
\(413\) 15.0064 25.9919i 0.738418 1.27898i
\(414\) −7.48401 4.32089i −0.367819 0.212360i
\(415\) 5.69826 9.86968i 0.279717 0.484484i
\(416\) −5.89196 3.06013i −0.288877 0.150035i
\(417\) −8.66598 + 15.0099i −0.424375 + 0.735039i
\(418\) −4.07711 + 2.35392i −0.199418 + 0.115134i
\(419\) 8.74201 + 15.1416i 0.427075 + 0.739716i 0.996612 0.0822502i \(-0.0262107\pi\)
−0.569537 + 0.821966i \(0.692877\pi\)
\(420\) 14.1088 + 24.4372i 0.688440 + 1.19241i
\(421\) 10.1676 5.87026i 0.495538 0.286099i −0.231331 0.972875i \(-0.574308\pi\)
0.726869 + 0.686776i \(0.240975\pi\)
\(422\) −0.0205942 + 0.0118901i −0.00100251 + 0.000578801i
\(423\) 29.9819i 1.45777i
\(424\) −2.67829 + 1.54631i −0.130069 + 0.0750956i
\(425\) 7.94828 0.385548
\(426\) 0.293412 + 0.508205i 0.0142159 + 0.0246226i
\(427\) 39.6902i 1.92074i
\(428\) 11.4482 19.8289i 0.553372 0.958468i
\(429\) 44.7895 + 23.2625i 2.16246 + 1.12312i
\(430\) −0.436982 −0.0210731
\(431\) 4.55200i 0.219262i −0.993972 0.109631i \(-0.965033\pi\)
0.993972 0.109631i \(-0.0349669\pi\)
\(432\) −26.5270 45.9461i −1.27628 2.21058i
\(433\) −1.26432 + 2.18987i −0.0607596 + 0.105239i −0.894805 0.446457i \(-0.852686\pi\)
0.834046 + 0.551696i \(0.186019\pi\)
\(434\) 3.26241 0.120858i 0.156600 0.00580136i
\(435\) 6.04658 + 3.49099i 0.289911 + 0.167380i
\(436\) 29.1423 + 16.8253i 1.39566 + 0.805785i
\(437\) −45.5260 26.2845i −2.17781 1.25736i
\(438\) −0.811996 + 1.40642i −0.0387987 + 0.0672013i
\(439\) −16.7919 + 29.0844i −0.801434 + 1.38812i 0.117239 + 0.993104i \(0.462596\pi\)
−0.918673 + 0.395020i \(0.870738\pi\)
\(440\) 3.20461i 0.152774i
\(441\) 26.0001 45.0335i 1.23810 2.14445i
\(442\) −1.10268 0.572703i −0.0524491 0.0272407i
\(443\) −11.2349 19.4593i −0.533784 0.924541i −0.999221 0.0394604i \(-0.987436\pi\)
0.465437 0.885081i \(-0.345897\pi\)
\(444\) −15.2418 8.79988i −0.723346 0.417624i
\(445\) 4.78699 8.29131i 0.226925 0.393046i
\(446\) 0.474399 + 0.821684i 0.0224635 + 0.0389079i
\(447\) 24.1415 13.9381i 1.14186 0.659251i
\(448\) 24.1638 13.9510i 1.14163 0.659121i
\(449\) −14.4376 8.33558i −0.681355 0.393380i 0.119011 0.992893i \(-0.462028\pi\)
−0.800365 + 0.599513i \(0.795361\pi\)
\(450\) 4.09062i 0.192833i
\(451\) 4.32138 + 7.48485i 0.203486 + 0.352448i
\(452\) −17.6382 + 30.5503i −0.829632 + 1.43697i
\(453\) 4.33727i 0.203783i
\(454\) −0.0956961 0.165750i −0.00449124 0.00777905i
\(455\) −7.39910 + 14.2462i −0.346875 + 0.667871i
\(456\) 6.87984 + 11.9162i 0.322178 + 0.558029i
\(457\) 9.54973 5.51354i 0.446717 0.257912i −0.259725 0.965683i \(-0.583632\pi\)
0.706443 + 0.707770i \(0.250299\pi\)
\(458\) 1.47693 0.0690125
\(459\) −15.2054 26.3365i −0.709726 1.22928i
\(460\) −15.3999 + 8.89114i −0.718024 + 0.414552i
\(461\) 2.72391 + 1.57265i 0.126865 + 0.0732456i 0.562090 0.827076i \(-0.309998\pi\)
−0.435224 + 0.900322i \(0.643331\pi\)
\(462\) 7.10802 4.10382i 0.330695 0.190927i
\(463\) 24.7111i 1.14842i 0.818708 + 0.574210i \(0.194691\pi\)
−0.818708 + 0.574210i \(0.805309\pi\)
\(464\) 3.54190 6.13474i 0.164428 0.284798i
\(465\) −18.6982 9.89118i −0.867110 0.458693i
\(466\) −0.388529 + 0.224317i −0.0179983 + 0.0103913i
\(467\) −25.9299 −1.19989 −0.599947 0.800040i \(-0.704812\pi\)
−0.599947 + 0.800040i \(0.704812\pi\)
\(468\) 23.9370 46.0882i 1.10649 2.13043i
\(469\) −4.59040 −0.211965
\(470\) −0.657883 0.379829i −0.0303459 0.0175202i
\(471\) −28.5033 −1.31336
\(472\) −2.47527 4.28730i −0.113934 0.197339i
\(473\) 10.3225i 0.474630i
\(474\) 0.821496i 0.0377326i
\(475\) 24.8837i 1.14174i
\(476\) 14.2117 8.20515i 0.651394 0.376082i
\(477\) −18.1804 31.4894i −0.832424 1.44180i
\(478\) 0.204599 0.354376i 0.00935813 0.0162088i
\(479\) 4.82234i 0.220338i 0.993913 + 0.110169i \(0.0351393\pi\)
−0.993913 + 0.110169i \(0.964861\pi\)
\(480\) 6.99589 0.319317
\(481\) −0.446132 10.0026i −0.0203419 0.456078i
\(482\) 0.458286 0.793774i 0.0208743 0.0361554i
\(483\) 79.3701 + 45.8243i 3.61146 + 2.08508i
\(484\) −15.8861 −0.722098
\(485\) 6.41618 0.291344
\(486\) −4.07701 + 2.35386i −0.184937 + 0.106773i
\(487\) 13.2690i 0.601275i 0.953738 + 0.300638i \(0.0971995\pi\)
−0.953738 + 0.300638i \(0.902801\pi\)
\(488\) 5.66970 + 3.27340i 0.256655 + 0.148180i
\(489\) −8.92760 5.15435i −0.403720 0.233088i
\(490\) 0.658771 + 1.14102i 0.0297602 + 0.0515462i
\(491\) 8.49183 14.7083i 0.383231 0.663776i −0.608291 0.793714i \(-0.708145\pi\)
0.991522 + 0.129939i \(0.0414780\pi\)
\(492\) 10.8711 6.27645i 0.490109 0.282964i
\(493\) 2.03023 3.51646i 0.0914369 0.158373i
\(494\) −1.79296 + 3.45216i −0.0806691 + 0.155320i
\(495\) −37.6775 −1.69348
\(496\) −10.0354 + 18.9709i −0.450603 + 0.851817i
\(497\) −2.20457 3.81842i −0.0988883 0.171280i
\(498\) −2.40731 + 4.16958i −0.107874 + 0.186843i
\(499\) −19.9213 11.5016i −0.891802 0.514882i −0.0172704 0.999851i \(-0.505498\pi\)
−0.874531 + 0.484969i \(0.838831\pi\)
\(500\) −17.4215 10.0583i −0.779114 0.449822i
\(501\) 30.2715i 1.35243i
\(502\) −1.54012 0.889190i −0.0687390 0.0396865i
\(503\) −4.24501 7.35258i −0.189276 0.327835i 0.755733 0.654880i \(-0.227281\pi\)
−0.945009 + 0.327044i \(0.893947\pi\)
\(504\) −8.49762 14.7183i −0.378514 0.655606i
\(505\) −5.09705 2.94278i −0.226816 0.130952i
\(506\) 2.58616 + 4.47936i 0.114969 + 0.199132i
\(507\) 41.5370 3.71263i 1.84472 0.164884i
\(508\) 8.03917 13.9243i 0.356681 0.617789i
\(509\) −28.1830 16.2715i −1.24919 0.721219i −0.278241 0.960511i \(-0.589751\pi\)
−0.970948 + 0.239292i \(0.923085\pi\)
\(510\) 1.30928 0.0579759
\(511\) 6.10097 10.5672i 0.269891 0.467465i
\(512\) 11.8783i 0.524953i
\(513\) −82.4516 + 47.6035i −3.64033 + 2.10174i
\(514\) 1.07713i 0.0475102i
\(515\) −11.5984 6.69636i −0.511089 0.295077i
\(516\) −14.9926 −0.660013
\(517\) 8.97243 15.5407i 0.394607 0.683480i
\(518\) −1.41012 0.814135i −0.0619573 0.0357711i
\(519\) −36.8737 −1.61858
\(520\) 1.42482 + 2.23189i 0.0624824 + 0.0978748i
\(521\) 6.65083 11.5196i 0.291378 0.504681i −0.682758 0.730645i \(-0.739220\pi\)
0.974136 + 0.225963i \(0.0725529\pi\)
\(522\) −1.80976 1.04487i −0.0792110 0.0457325i
\(523\) 15.4876 + 26.8252i 0.677224 + 1.17299i 0.975814 + 0.218604i \(0.0701503\pi\)
−0.298590 + 0.954381i \(0.596516\pi\)
\(524\) 21.1086 + 36.5612i 0.922135 + 1.59719i
\(525\) 43.3822i 1.89335i
\(526\) −3.13495 1.80996i −0.136690 0.0789181i
\(527\) −5.75233 + 10.8742i −0.250575 + 0.473686i
\(528\) 53.9568i 2.34817i
\(529\) −17.3777 + 30.0991i −0.755553 + 1.30866i
\(530\) 0.921283 0.0400180
\(531\) 50.4069 29.1025i 2.18747 1.26294i
\(532\) −25.6878 44.4926i −1.11371 1.92900i
\(533\) 6.33756 + 3.29156i 0.274510 + 0.142573i
\(534\) −2.02233 + 3.50278i −0.0875147 + 0.151580i
\(535\) −11.8867 + 6.86278i −0.513906 + 0.296704i
\(536\) −0.378587 + 0.655733i −0.0163525 + 0.0283233i
\(537\) 50.1342 2.16345
\(538\) 3.76418 2.17325i 0.162285 0.0936955i
\(539\) −26.9536 + 15.5617i −1.16097 + 0.670289i
\(540\) 32.2053i 1.38589i
\(541\) −30.9830 17.8881i −1.33207 0.769068i −0.346449 0.938069i \(-0.612613\pi\)
−0.985616 + 0.169001i \(0.945946\pi\)
\(542\) 2.15888 3.73929i 0.0927318 0.160616i
\(543\) −29.7615 51.5485i −1.27719 2.21216i
\(544\) 4.06854i 0.174437i
\(545\) −10.0861 17.4697i −0.432041 0.748318i
\(546\) 3.12585 6.01849i 0.133774 0.257568i
\(547\) −8.49685 14.7170i −0.363299 0.629252i 0.625203 0.780462i \(-0.285016\pi\)
−0.988502 + 0.151210i \(0.951683\pi\)
\(548\) −36.9008 21.3047i −1.57632 0.910091i
\(549\) −38.4863 + 66.6602i −1.64255 + 2.84499i
\(550\) −1.22417 + 2.12032i −0.0521986 + 0.0904106i
\(551\) −11.0090 6.35603i −0.468998 0.270776i
\(552\) 13.0919 7.55861i 0.557228 0.321716i
\(553\) 6.17235i 0.262475i
\(554\) 0.436620i 0.0185502i
\(555\) 5.27518 + 9.13689i 0.223919 + 0.387839i
\(556\) −5.33719 9.24428i −0.226347 0.392045i
\(557\) −1.72170 + 0.994021i −0.0729506 + 0.0421180i −0.536032 0.844198i \(-0.680077\pi\)
0.463081 + 0.886316i \(0.346744\pi\)
\(558\) 5.59644 + 2.96046i 0.236916 + 0.125326i
\(559\) −4.58955 7.18924i −0.194117 0.304072i
\(560\) −17.1620 −0.725228
\(561\) 30.9282i 1.30579i
\(562\) 0.333284 + 0.577264i 0.0140587 + 0.0243504i
\(563\) 12.1543 0.512244 0.256122 0.966644i \(-0.417555\pi\)
0.256122 + 0.966644i \(0.417555\pi\)
\(564\) −22.5716 13.0317i −0.950436 0.548734i
\(565\) 18.3137 10.5734i 0.770464 0.444828i
\(566\) −2.54928 1.47183i −0.107154 0.0618656i
\(567\) 72.5389 41.8804i 3.04635 1.75881i
\(568\) −0.727276 −0.0305158
\(569\) 17.8163 30.8587i 0.746896 1.29366i −0.202407 0.979301i \(-0.564876\pi\)
0.949303 0.314361i \(-0.101790\pi\)
\(570\) 4.09896i 0.171687i
\(571\) −3.00758 5.20928i −0.125863 0.218002i 0.796207 0.605025i \(-0.206837\pi\)
−0.922070 + 0.387023i \(0.873503\pi\)
\(572\) −26.1999 + 16.7258i −1.09547 + 0.699340i
\(573\) 83.0535 3.46961
\(574\) 1.00576 0.580676i 0.0419797 0.0242370i
\(575\) −27.3387 −1.14010
\(576\) 54.1111 2.25463
\(577\) 26.1577 + 15.1021i 1.08896 + 0.628710i 0.933299 0.359100i \(-0.116916\pi\)
0.155659 + 0.987811i \(0.450250\pi\)
\(578\) 1.89009i 0.0786173i
\(579\) 31.8846i 1.32508i
\(580\) −3.72396 + 2.15003i −0.154629 + 0.0892751i
\(581\) 18.0874 31.3283i 0.750392 1.29972i
\(582\) −2.71060 −0.112358
\(583\) 21.7628i 0.901324i
\(584\) −1.00634 1.74303i −0.0416427 0.0721272i
\(585\) −26.2409 + 16.7520i −1.08493 + 0.692608i
\(586\) −0.492387 + 0.852840i −0.0203403 + 0.0352305i
\(587\) −22.3074 + 12.8792i −0.920725 + 0.531581i −0.883866 0.467739i \(-0.845069\pi\)
−0.0368589 + 0.999320i \(0.511735\pi\)
\(588\) 22.6021 + 39.1479i 0.932093 + 1.61443i
\(589\) 34.0437 + 18.0088i 1.40275 + 0.742040i
\(590\) 1.47475i 0.0607145i
\(591\) 8.61272 + 4.97255i 0.354280 + 0.204544i
\(592\) 9.27011 5.35210i 0.380999 0.219970i
\(593\) 26.1000i 1.07180i −0.844282 0.535899i \(-0.819973\pi\)
0.844282 0.535899i \(-0.180027\pi\)
\(594\) 9.36751 0.384354
\(595\) −9.83733 −0.403291
\(596\) 17.1684i 0.703244i
\(597\) 54.0339 2.21146
\(598\) 3.79275 + 1.96986i 0.155097 + 0.0805534i
\(599\) 16.1483 + 27.9696i 0.659801 + 1.14281i 0.980667 + 0.195684i \(0.0626926\pi\)
−0.320867 + 0.947124i \(0.603974\pi\)
\(600\) 6.19709 + 3.57789i 0.252995 + 0.146067i
\(601\) −24.2340 −0.988524 −0.494262 0.869313i \(-0.664562\pi\)
−0.494262 + 0.869313i \(0.664562\pi\)
\(602\) −1.38707 −0.0565326
\(603\) −7.70962 4.45115i −0.313960 0.181265i
\(604\) 2.31335 + 1.33561i 0.0941290 + 0.0543454i
\(605\) 8.24727 + 4.76156i 0.335299 + 0.193585i
\(606\) 2.15332 + 1.24322i 0.0874725 + 0.0505023i
\(607\) 27.4655 1.11479 0.557394 0.830248i \(-0.311801\pi\)
0.557394 + 0.830248i \(0.311801\pi\)
\(608\) −12.7374 −0.516568
\(609\) 19.1930 + 11.0811i 0.777741 + 0.449029i
\(610\) −0.975135 1.68898i −0.0394821 0.0683850i
\(611\) −0.660675 14.8128i −0.0267281 0.599261i
\(612\) 31.8250 1.28645
\(613\) 27.7171i 1.11948i −0.828667 0.559742i \(-0.810900\pi\)
0.828667 0.559742i \(-0.189100\pi\)
\(614\) −0.0247235 −0.000997759
\(615\) −7.52498 −0.303436
\(616\) 10.1721i 0.409844i
\(617\) 1.25869 0.726707i 0.0506731 0.0292561i −0.474449 0.880283i \(-0.657353\pi\)
0.525123 + 0.851027i \(0.324019\pi\)
\(618\) 4.89992 + 2.82897i 0.197104 + 0.113798i
\(619\) 28.4810i 1.14475i 0.819992 + 0.572375i \(0.193978\pi\)
−0.819992 + 0.572375i \(0.806022\pi\)
\(620\) 11.0335 6.92713i 0.443118 0.278200i
\(621\) 52.3001 + 90.5864i 2.09873 + 3.63511i
\(622\) 0.381126 0.220043i 0.0152818 0.00882294i
\(623\) 15.1949 26.3183i 0.608769 1.05442i
\(624\) 23.9900 + 37.5788i 0.960368 + 1.50436i
\(625\) −2.96378 5.13343i −0.118551 0.205337i
\(626\) 1.98134i 0.0791902i
\(627\) 96.8269 3.86690
\(628\) 8.77729 15.2027i 0.350252 0.606654i
\(629\) 5.31366 3.06784i 0.211870 0.122323i
\(630\) 5.06283i 0.201708i
\(631\) 29.9004i 1.19032i 0.803609 + 0.595158i \(0.202910\pi\)
−0.803609 + 0.595158i \(0.797090\pi\)
\(632\) 0.881712 + 0.509057i 0.0350726 + 0.0202492i
\(633\) 0.489091 0.0194396
\(634\) 2.23479 0.0887550
\(635\) −8.34705 + 4.81917i −0.331242 + 0.191243i
\(636\) 31.6087 1.25337
\(637\) −11.8532 + 22.8221i −0.469641 + 0.904245i
\(638\) 0.625377 + 1.08318i 0.0247589 + 0.0428837i
\(639\) 8.55077i 0.338263i
\(640\) −2.86635 + 4.96466i −0.113302 + 0.196245i
\(641\) −27.8057 −1.09826 −0.549129 0.835737i \(-0.685041\pi\)
−0.549129 + 0.835737i \(0.685041\pi\)
\(642\) 5.02169 2.89927i 0.198190 0.114425i
\(643\) −5.93359 3.42576i −0.233998 0.135099i 0.378417 0.925635i \(-0.376469\pi\)
−0.612415 + 0.790536i \(0.709802\pi\)
\(644\) −48.8823 + 28.2222i −1.92623 + 1.11211i
\(645\) 7.78339 + 4.49374i 0.306471 + 0.176941i
\(646\) −2.38380 −0.0937893
\(647\) 8.18386 + 14.1749i 0.321741 + 0.557271i 0.980847 0.194778i \(-0.0623988\pi\)
−0.659107 + 0.752049i \(0.729065\pi\)
\(648\) 13.8161i 0.542749i
\(649\) −34.8370 −1.36747
\(650\) 0.0901401 + 2.02100i 0.00353559 + 0.0792702i
\(651\) −59.3518 31.3966i −2.32618 1.23053i
\(652\) 5.49832 3.17446i 0.215331 0.124321i
\(653\) −1.42155 2.46220i −0.0556296 0.0963532i 0.836870 0.547402i \(-0.184383\pi\)
−0.892499 + 0.451049i \(0.851050\pi\)
\(654\) 4.26101 + 7.38029i 0.166619 + 0.288592i
\(655\) 25.3076i 0.988851i
\(656\) 7.63470i 0.298085i
\(657\) 20.4933 11.8318i 0.799520 0.461603i
\(658\) −2.08825 1.20565i −0.0814084 0.0470012i
\(659\) 16.7574 29.0246i 0.652774 1.13064i −0.329672 0.944095i \(-0.606938\pi\)
0.982447 0.186543i \(-0.0597284\pi\)
\(660\) 16.3766 28.3652i 0.637459 1.10411i
\(661\) 17.7373 + 10.2406i 0.689900 + 0.398314i 0.803575 0.595204i \(-0.202929\pi\)
−0.113675 + 0.993518i \(0.536262\pi\)
\(662\) −2.47232 4.28219i −0.0960896 0.166432i
\(663\) 13.7511 + 21.5403i 0.534050 + 0.836557i
\(664\) −2.98347 5.16753i −0.115781 0.200539i
\(665\) 30.7977i 1.19428i
\(666\) −1.57888 2.73470i −0.0611803 0.105967i
\(667\) −6.98312 + 12.0951i −0.270388 + 0.468325i
\(668\) 16.1458 + 9.32177i 0.624699 + 0.360670i
\(669\) 19.5141i 0.754459i
\(670\) 0.195340 0.112780i 0.00754666 0.00435707i
\(671\) 39.8977 23.0349i 1.54023 0.889254i
\(672\) 22.2063 0.856628
\(673\) 13.9110 24.0946i 0.536230 0.928777i −0.462873 0.886425i \(-0.653181\pi\)
0.999103 0.0423527i \(-0.0134853\pi\)
\(674\) −2.39471 + 1.38258i −0.0922406 + 0.0532551i
\(675\) −24.7564 + 42.8793i −0.952874 + 1.65043i
\(676\) −10.8107 + 23.2977i −0.415796 + 0.896066i
\(677\) 9.69557 + 16.7932i 0.372631 + 0.645416i 0.989969 0.141282i \(-0.0451223\pi\)
−0.617338 + 0.786698i \(0.711789\pi\)
\(678\) −7.73687 + 4.46689i −0.297133 + 0.171550i
\(679\) 20.3662 0.781583
\(680\) −0.811322 + 1.40525i −0.0311128 + 0.0538889i
\(681\) 3.93640i 0.150843i
\(682\) −2.01489 3.20932i −0.0771540 0.122891i
\(683\) 6.99893 + 4.04084i 0.267807 + 0.154618i 0.627891 0.778302i \(-0.283919\pi\)
−0.360084 + 0.932920i \(0.617252\pi\)
\(684\) 99.6345i 3.80962i
\(685\) 12.7713 + 22.1206i 0.487967 + 0.845184i
\(686\) 0.0388515 + 0.0672927i 0.00148336 + 0.00256925i
\(687\) −26.3067 15.1882i −1.00366 0.579464i
\(688\) 4.55926 7.89688i 0.173820 0.301066i
\(689\) 9.67608 + 15.1570i 0.368629 + 0.577435i
\(690\) −4.50337 −0.171440
\(691\) −37.9843 21.9303i −1.44499 0.834267i −0.446816 0.894626i \(-0.647442\pi\)
−0.998177 + 0.0603593i \(0.980775\pi\)
\(692\) 11.3549 19.6672i 0.431647 0.747635i
\(693\) −119.596 −4.54306
\(694\) −1.57664 0.910275i −0.0598486 0.0345536i
\(695\) 6.39888i 0.242723i
\(696\) 3.16584 1.82780i 0.120001 0.0692826i
\(697\) 4.37624i 0.165762i
\(698\) −1.10271 + 1.90995i −0.0417381 + 0.0722926i
\(699\) 9.22715 0.349003
\(700\) −23.1386 13.3591i −0.874557 0.504926i
\(701\) −20.9974 + 36.3685i −0.793059 + 1.37362i 0.131005 + 0.991382i \(0.458180\pi\)
−0.924064 + 0.382237i \(0.875154\pi\)
\(702\) 6.52412 4.16494i 0.246237 0.157195i
\(703\) −9.60449 16.6355i −0.362240 0.627419i
\(704\) −28.0478 16.1934i −1.05709 0.610311i
\(705\) 7.81201 + 13.5308i 0.294217 + 0.509599i
\(706\) 0.824830 + 1.42865i 0.0310429 + 0.0537679i
\(707\) −16.1790 9.34097i −0.608475 0.351303i
\(708\) 50.5979i 1.90159i
\(709\) 1.05080 + 0.606679i 0.0394636 + 0.0227843i 0.519602 0.854408i \(-0.326080\pi\)
−0.480138 + 0.877193i \(0.659414\pi\)
\(710\) 0.187627 + 0.108326i 0.00704151 + 0.00406542i
\(711\) −5.98511 + 10.3665i −0.224459 + 0.388775i
\(712\) −2.50635 4.34113i −0.0939296 0.162691i
\(713\) 19.7856 37.4025i 0.740976 1.40074i
\(714\) 4.15591 0.155531
\(715\) 18.6149 0.830254i 0.696156 0.0310497i
\(716\) −15.4383 + 26.7399i −0.576956 + 0.999318i
\(717\) −7.28851 + 4.20802i −0.272194 + 0.157151i
\(718\) 2.68189 4.64517i 0.100087 0.173356i
\(719\) −9.63406 16.6867i −0.359290 0.622308i 0.628553 0.777767i \(-0.283648\pi\)
−0.987842 + 0.155459i \(0.950314\pi\)
\(720\) −28.8238 16.6414i −1.07420 0.620189i
\(721\) −36.8157 21.2556i −1.37109 0.791599i
\(722\) 4.49949i 0.167454i
\(723\) −16.3257 + 9.42564i −0.607159 + 0.350543i
\(724\) 36.6590 1.36242
\(725\) −6.61096 −0.245525
\(726\) −3.48417 2.01159i −0.129310 0.0746569i
\(727\) −1.06171 + 1.83894i −0.0393768 + 0.0682027i −0.885042 0.465511i \(-0.845871\pi\)
0.845665 + 0.533714i \(0.179204\pi\)
\(728\) 4.52265 + 7.08445i 0.167621 + 0.262567i
\(729\) 29.9823 1.11046
\(730\) 0.599571i 0.0221911i
\(731\) 2.61339 4.52652i 0.0966596 0.167419i
\(732\) −33.4564 57.9481i −1.23658 2.14182i
\(733\) −9.23708 + 5.33303i −0.341179 + 0.196980i −0.660793 0.750568i \(-0.729780\pi\)
0.319614 + 0.947548i \(0.396447\pi\)
\(734\) 0.801732i 0.0295925i
\(735\) 27.0981i 0.999529i
\(736\) 13.9940i 0.515827i
\(737\) 2.66412 + 4.61439i 0.0981341 + 0.169973i
\(738\) 2.25225 0.0829064
\(739\) 6.60785 + 3.81504i 0.243074 + 0.140339i 0.616589 0.787286i \(-0.288514\pi\)
−0.373515 + 0.927624i \(0.621848\pi\)
\(740\) −6.49775 −0.238862
\(741\) 67.4363 43.0507i 2.47733 1.58151i
\(742\) 2.92433 0.107356
\(743\) −15.5624 + 8.98495i −0.570929 + 0.329626i −0.757520 0.652812i \(-0.773589\pi\)
0.186591 + 0.982438i \(0.440256\pi\)
\(744\) −9.37993 + 5.88895i −0.343885 + 0.215899i
\(745\) 5.14589 8.91294i 0.188531 0.326545i
\(746\) 4.64316i 0.169998i
\(747\) 60.7560 35.0775i 2.22295 1.28342i
\(748\) −16.4961 9.52401i −0.603156 0.348232i
\(749\) −37.7307 + 21.7838i −1.37865 + 0.795963i
\(750\) −2.54727 4.41200i −0.0930132 0.161104i
\(751\) 30.3583 1.10779 0.553894 0.832587i \(-0.313141\pi\)
0.553894 + 0.832587i \(0.313141\pi\)
\(752\) 13.7281 7.92592i 0.500612 0.289028i
\(753\) 18.2881 + 31.6760i 0.666457 + 1.15434i
\(754\) 0.917151 + 0.476345i 0.0334007 + 0.0173475i
\(755\) −0.800649 1.38676i −0.0291386 0.0504695i
\(756\) 102.226i 3.71792i
\(757\) 17.5814 30.4519i 0.639007 1.10679i −0.346644 0.937997i \(-0.612679\pi\)
0.985651 0.168796i \(-0.0539880\pi\)
\(758\) −1.12946 1.95627i −0.0410237 0.0710551i
\(759\) 106.380i 3.86135i
\(760\) 4.39942 + 2.54000i 0.159584 + 0.0921357i
\(761\) −15.5096 + 8.95448i −0.562223 + 0.324600i −0.754037 0.656832i \(-0.771896\pi\)
0.191814 + 0.981431i \(0.438563\pi\)
\(762\) 3.52632 2.03592i 0.127745 0.0737537i
\(763\) −32.0153 55.4521i −1.15903 2.00750i
\(764\) −25.5754 + 44.2980i −0.925287 + 1.60264i
\(765\) −16.5219 9.53893i −0.597351 0.344881i