Properties

Label 418.2.f.f.267.4
Level $418$
Weight $2$
Character 418.267
Analytic conductor $3.338$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.f (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 6 x^{15} + 24 x^{14} - 62 x^{13} + 148 x^{12} - 232 x^{11} + 432 x^{10} - 356 x^{9} + 424 x^{8} - 320 x^{7} + 712 x^{6} - 936 x^{5} + 968 x^{4} - 336 x^{3} + 208 x^{2} + \cdots + 16 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 267.4
Root \(-0.972875 + 0.706835i\) of defining polynomial
Character \(\chi\) \(=\) 418.267
Dual form 418.2.f.f.191.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.809017 + 0.587785i) q^{2} +(0.931534 + 2.86697i) q^{3} +(0.309017 - 0.951057i) q^{4} +(1.62603 + 1.18138i) q^{5} +(-2.43879 - 1.77188i) q^{6} +(0.750517 - 2.30985i) q^{7} +(0.309017 + 0.951057i) q^{8} +(-4.92469 + 3.57799i) q^{9} +O(q^{10})\) \(q+(-0.809017 + 0.587785i) q^{2} +(0.931534 + 2.86697i) q^{3} +(0.309017 - 0.951057i) q^{4} +(1.62603 + 1.18138i) q^{5} +(-2.43879 - 1.77188i) q^{6} +(0.750517 - 2.30985i) q^{7} +(0.309017 + 0.951057i) q^{8} +(-4.92469 + 3.57799i) q^{9} -2.00989 q^{10} +(2.41358 + 2.27479i) q^{11} +3.01451 q^{12} +(-2.45583 + 1.78426i) q^{13} +(0.750517 + 2.30985i) q^{14} +(-1.87228 + 5.76227i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(3.49232 + 2.53732i) q^{17} +(1.88106 - 5.78932i) q^{18} +(-0.309017 - 0.951057i) q^{19} +(1.62603 - 1.18138i) q^{20} +7.32140 q^{21} +(-3.28971 - 0.421676i) q^{22} -2.27832 q^{23} +(-2.43879 + 1.77188i) q^{24} +(-0.296768 - 0.913359i) q^{25} +(0.938042 - 2.88700i) q^{26} +(-7.52914 - 5.47024i) q^{27} +(-1.96488 - 1.42757i) q^{28} +(2.72288 - 8.38017i) q^{29} +(-1.87228 - 5.76227i) q^{30} +(-7.51972 + 5.46339i) q^{31} +1.00000 q^{32} +(-4.27340 + 9.03868i) q^{33} -4.31675 q^{34} +(3.94918 - 2.86925i) q^{35} +(1.88106 + 5.78932i) q^{36} +(0.330046 - 1.01578i) q^{37} +(0.809017 + 0.587785i) q^{38} +(-7.40310 - 5.37867i) q^{39} +(-0.621089 + 1.91151i) q^{40} +(-1.59330 - 4.90367i) q^{41} +(-5.92314 + 4.30341i) q^{42} +11.9841 q^{43} +(2.90929 - 1.59250i) q^{44} -12.2347 q^{45} +(1.84320 - 1.33917i) q^{46} +(-2.78119 - 8.55962i) q^{47} +(0.931534 - 2.86697i) q^{48} +(0.890976 + 0.647332i) q^{49} +(0.776949 + 0.564487i) q^{50} +(-4.02120 + 12.3760i) q^{51} +(0.938042 + 2.88700i) q^{52} +(-4.12220 + 2.99495i) q^{53} +9.30653 q^{54} +(1.23716 + 6.55022i) q^{55} +2.42872 q^{56} +(2.43879 - 1.77188i) q^{57} +(2.72288 + 8.38017i) q^{58} +(-1.48041 + 4.55624i) q^{59} +(4.90168 + 3.56128i) q^{60} +(-7.49309 - 5.44405i) q^{61} +(2.87228 - 8.83996i) q^{62} +(4.56858 + 14.0606i) q^{63} +(-0.809017 + 0.587785i) q^{64} -6.10114 q^{65} +(-1.85555 - 9.82429i) q^{66} +9.19479 q^{67} +(3.49232 - 2.53732i) q^{68} +(-2.12234 - 6.53188i) q^{69} +(-1.50845 + 4.64254i) q^{70} +(8.70566 + 6.32503i) q^{71} +(-4.92469 - 3.57799i) q^{72} +(2.76254 - 8.50223i) q^{73} +(0.330046 + 1.01578i) q^{74} +(2.34212 - 1.70165i) q^{75} -1.00000 q^{76} +(7.06585 - 3.86774i) q^{77} +9.15074 q^{78} +(-5.27562 + 3.83296i) q^{79} +(-0.621089 - 1.91151i) q^{80} +(3.02616 - 9.31355i) q^{81} +(4.17131 + 3.03064i) q^{82} +(3.30975 + 2.40468i) q^{83} +(2.26244 - 6.96306i) q^{84} +(2.68108 + 8.25153i) q^{85} +(-9.69534 + 7.04408i) q^{86} +26.5621 q^{87} +(-1.41761 + 2.99839i) q^{88} +6.04832 q^{89} +(9.89806 - 7.19136i) q^{90} +(2.27824 + 7.01171i) q^{91} +(-0.704041 + 2.16682i) q^{92} +(-22.6682 - 16.4694i) q^{93} +(7.28125 + 5.29014i) q^{94} +(0.621089 - 1.91151i) q^{95} +(0.931534 + 2.86697i) q^{96} +(7.62654 - 5.54101i) q^{97} -1.10131 q^{98} +(-20.0253 - 2.56684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 4 q^{2} - 4 q^{4} + 4 q^{5} + 6 q^{7} - 4 q^{8} - 20 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 4 q^{2} - 4 q^{4} + 4 q^{5} + 6 q^{7} - 4 q^{8} - 20 q^{9} + 4 q^{10} + 2 q^{11} - 14 q^{13} + 6 q^{14} - 10 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{19} + 4 q^{20} + 28 q^{21} + 2 q^{22} + 24 q^{23} - 4 q^{26} - 18 q^{27} - 14 q^{28} - 22 q^{29} - 10 q^{30} - 24 q^{31} + 16 q^{32} + 2 q^{33} + 8 q^{34} - 20 q^{35} + 6 q^{37} + 4 q^{38} + 72 q^{39} - 6 q^{40} - 14 q^{41} - 22 q^{42} + 56 q^{43} + 12 q^{44} - 56 q^{45} + 4 q^{46} - 38 q^{47} - 36 q^{49} + 56 q^{51} - 4 q^{52} + 22 q^{53} - 48 q^{54} - 6 q^{55} + 16 q^{56} - 22 q^{58} - 28 q^{59} + 12 q^{61} + 26 q^{62} - 20 q^{63} - 4 q^{64} - 32 q^{65} + 12 q^{66} - 44 q^{67} + 8 q^{68} + 64 q^{69} - 20 q^{70} + 16 q^{71} - 20 q^{72} + 12 q^{73} + 6 q^{74} + 32 q^{75} - 16 q^{76} - 12 q^{77} - 8 q^{78} + 48 q^{79} - 6 q^{80} - 64 q^{81} + 6 q^{82} + 14 q^{83} + 8 q^{84} + 6 q^{85} - 14 q^{86} + 84 q^{87} - 8 q^{88} - 56 q^{89} + 34 q^{90} + 26 q^{91} - 16 q^{92} - 46 q^{93} + 32 q^{94} + 6 q^{95} - 24 q^{97} + 64 q^{98} - 56 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.809017 + 0.587785i −0.572061 + 0.415627i
\(3\) 0.931534 + 2.86697i 0.537821 + 1.65524i 0.737473 + 0.675377i \(0.236019\pi\)
−0.199652 + 0.979867i \(0.563981\pi\)
\(4\) 0.309017 0.951057i 0.154508 0.475528i
\(5\) 1.62603 + 1.18138i 0.727183 + 0.528330i 0.888671 0.458545i \(-0.151629\pi\)
−0.161488 + 0.986875i \(0.551629\pi\)
\(6\) −2.43879 1.77188i −0.995631 0.723368i
\(7\) 0.750517 2.30985i 0.283669 0.873042i −0.703126 0.711065i \(-0.748213\pi\)
0.986795 0.161977i \(-0.0517870\pi\)
\(8\) 0.309017 + 0.951057i 0.109254 + 0.336249i
\(9\) −4.92469 + 3.57799i −1.64156 + 1.19266i
\(10\) −2.00989 −0.635581
\(11\) 2.41358 + 2.27479i 0.727721 + 0.685874i
\(12\) 3.01451 0.870213
\(13\) −2.45583 + 1.78426i −0.681123 + 0.494865i −0.873730 0.486411i \(-0.838306\pi\)
0.192607 + 0.981276i \(0.438306\pi\)
\(14\) 0.750517 + 2.30985i 0.200584 + 0.617334i
\(15\) −1.87228 + 5.76227i −0.483419 + 1.48781i
\(16\) −0.809017 0.587785i −0.202254 0.146946i
\(17\) 3.49232 + 2.53732i 0.847013 + 0.615391i 0.924321 0.381617i \(-0.124632\pi\)
−0.0773081 + 0.997007i \(0.524632\pi\)
\(18\) 1.88106 5.78932i 0.443371 1.36456i
\(19\) −0.309017 0.951057i −0.0708934 0.218187i
\(20\) 1.62603 1.18138i 0.363592 0.264165i
\(21\) 7.32140 1.59766
\(22\) −3.28971 0.421676i −0.701368 0.0899015i
\(23\) −2.27832 −0.475064 −0.237532 0.971380i \(-0.576338\pi\)
−0.237532 + 0.971380i \(0.576338\pi\)
\(24\) −2.43879 + 1.77188i −0.497815 + 0.361684i
\(25\) −0.296768 0.913359i −0.0593537 0.182672i
\(26\) 0.938042 2.88700i 0.183965 0.566187i
\(27\) −7.52914 5.47024i −1.44898 1.05275i
\(28\) −1.96488 1.42757i −0.371327 0.269785i
\(29\) 2.72288 8.38017i 0.505627 1.55616i −0.294088 0.955778i \(-0.595016\pi\)
0.799714 0.600381i \(-0.204984\pi\)
\(30\) −1.87228 5.76227i −0.341829 1.05204i
\(31\) −7.51972 + 5.46339i −1.35058 + 0.981254i −0.351598 + 0.936151i \(0.614362\pi\)
−0.998982 + 0.0451034i \(0.985638\pi\)
\(32\) 1.00000 0.176777
\(33\) −4.27340 + 9.03868i −0.743904 + 1.57343i
\(34\) −4.31675 −0.740316
\(35\) 3.94918 2.86925i 0.667533 0.484991i
\(36\) 1.88106 + 5.78932i 0.313511 + 0.964886i
\(37\) 0.330046 1.01578i 0.0542592 0.166993i −0.920255 0.391320i \(-0.872018\pi\)
0.974514 + 0.224327i \(0.0720185\pi\)
\(38\) 0.809017 + 0.587785i 0.131240 + 0.0953514i
\(39\) −7.40310 5.37867i −1.18544 0.861276i
\(40\) −0.621089 + 1.91151i −0.0982027 + 0.302237i
\(41\) −1.59330 4.90367i −0.248832 0.765825i −0.994983 0.100048i \(-0.968100\pi\)
0.746151 0.665777i \(-0.231900\pi\)
\(42\) −5.92314 + 4.30341i −0.913960 + 0.664031i
\(43\) 11.9841 1.82756 0.913779 0.406212i \(-0.133151\pi\)
0.913779 + 0.406212i \(0.133151\pi\)
\(44\) 2.90929 1.59250i 0.438591 0.240078i
\(45\) −12.2347 −1.82384
\(46\) 1.84320 1.33917i 0.271766 0.197449i
\(47\) −2.78119 8.55962i −0.405678 1.24855i −0.920328 0.391148i \(-0.872078\pi\)
0.514650 0.857401i \(-0.327922\pi\)
\(48\) 0.931534 2.86697i 0.134455 0.413811i
\(49\) 0.890976 + 0.647332i 0.127282 + 0.0924760i
\(50\) 0.776949 + 0.564487i 0.109877 + 0.0798305i
\(51\) −4.02120 + 12.3760i −0.563080 + 1.73298i
\(52\) 0.938042 + 2.88700i 0.130083 + 0.400354i
\(53\) −4.12220 + 2.99495i −0.566227 + 0.411388i −0.833733 0.552168i \(-0.813801\pi\)
0.267505 + 0.963556i \(0.413801\pi\)
\(54\) 9.30653 1.26646
\(55\) 1.23716 + 6.55022i 0.166819 + 0.883232i
\(56\) 2.42872 0.324552
\(57\) 2.43879 1.77188i 0.323025 0.234692i
\(58\) 2.72288 + 8.38017i 0.357532 + 1.10037i
\(59\) −1.48041 + 4.55624i −0.192733 + 0.593172i 0.807262 + 0.590193i \(0.200948\pi\)
−0.999996 + 0.00297914i \(0.999052\pi\)
\(60\) 4.90168 + 3.56128i 0.632804 + 0.459759i
\(61\) −7.49309 5.44405i −0.959392 0.697039i −0.00638270 0.999980i \(-0.502032\pi\)
−0.953010 + 0.302940i \(0.902032\pi\)
\(62\) 2.87228 8.83996i 0.364779 1.12268i
\(63\) 4.56858 + 14.0606i 0.575587 + 1.77147i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) −6.10114 −0.756753
\(66\) −1.85555 9.82429i −0.228402 1.20929i
\(67\) 9.19479 1.12332 0.561661 0.827367i \(-0.310162\pi\)
0.561661 + 0.827367i \(0.310162\pi\)
\(68\) 3.49232 2.53732i 0.423506 0.307695i
\(69\) −2.12234 6.53188i −0.255499 0.786346i
\(70\) −1.50845 + 4.64254i −0.180294 + 0.554889i
\(71\) 8.70566 + 6.32503i 1.03317 + 0.750643i 0.968941 0.247292i \(-0.0795406\pi\)
0.0642307 + 0.997935i \(0.479541\pi\)
\(72\) −4.92469 3.57799i −0.580380 0.421671i
\(73\) 2.76254 8.50223i 0.323331 0.995110i −0.648857 0.760910i \(-0.724753\pi\)
0.972188 0.234200i \(-0.0752472\pi\)
\(74\) 0.330046 + 1.01578i 0.0383671 + 0.118082i
\(75\) 2.34212 1.70165i 0.270445 0.196489i
\(76\) −1.00000 −0.114708
\(77\) 7.06585 3.86774i 0.805228 0.440770i
\(78\) 9.15074 1.03612
\(79\) −5.27562 + 3.83296i −0.593554 + 0.431242i −0.843585 0.536996i \(-0.819559\pi\)
0.250031 + 0.968238i \(0.419559\pi\)
\(80\) −0.621089 1.91151i −0.0694398 0.213714i
\(81\) 3.02616 9.31355i 0.336240 1.03484i
\(82\) 4.17131 + 3.03064i 0.460645 + 0.334678i
\(83\) 3.30975 + 2.40468i 0.363293 + 0.263948i 0.754424 0.656387i \(-0.227916\pi\)
−0.391132 + 0.920335i \(0.627916\pi\)
\(84\) 2.26244 6.96306i 0.246852 0.759733i
\(85\) 2.68108 + 8.25153i 0.290804 + 0.895004i
\(86\) −9.69534 + 7.04408i −1.04548 + 0.759582i
\(87\) 26.5621 2.84776
\(88\) −1.41761 + 2.99839i −0.151118 + 0.319630i
\(89\) 6.04832 0.641121 0.320560 0.947228i \(-0.396129\pi\)
0.320560 + 0.947228i \(0.396129\pi\)
\(90\) 9.89806 7.19136i 1.04335 0.758036i
\(91\) 2.27824 + 7.01171i 0.238825 + 0.735027i
\(92\) −0.704041 + 2.16682i −0.0734014 + 0.225906i
\(93\) −22.6682 16.4694i −2.35059 1.70780i
\(94\) 7.28125 + 5.29014i 0.751003 + 0.545636i
\(95\) 0.621089 1.91151i 0.0637223 0.196117i
\(96\) 0.931534 + 2.86697i 0.0950743 + 0.292608i
\(97\) 7.62654 5.54101i 0.774358 0.562604i −0.128922 0.991655i \(-0.541152\pi\)
0.903280 + 0.429051i \(0.141152\pi\)
\(98\) −1.10131 −0.111249
\(99\) −20.0253 2.56684i −2.01262 0.257977i
\(100\) −0.960362 −0.0960362
\(101\) 7.10793 5.16422i 0.707266 0.513859i −0.175025 0.984564i \(-0.556001\pi\)
0.882290 + 0.470705i \(0.156001\pi\)
\(102\) −4.02120 12.3760i −0.398158 1.22540i
\(103\) −3.25866 + 10.0291i −0.321086 + 0.988200i 0.652091 + 0.758141i \(0.273892\pi\)
−0.973177 + 0.230060i \(0.926108\pi\)
\(104\) −2.45583 1.78426i −0.240814 0.174961i
\(105\) 11.9048 + 8.64936i 1.16179 + 0.844091i
\(106\) 1.57454 4.84593i 0.152933 0.470679i
\(107\) −2.37801 7.31878i −0.229891 0.707533i −0.997758 0.0669233i \(-0.978682\pi\)
0.767867 0.640610i \(-0.221318\pi\)
\(108\) −7.52914 + 5.47024i −0.724492 + 0.526374i
\(109\) −14.2327 −1.36324 −0.681622 0.731705i \(-0.738725\pi\)
−0.681622 + 0.731705i \(0.738725\pi\)
\(110\) −4.85101 4.57206i −0.462526 0.435929i
\(111\) 3.21965 0.305596
\(112\) −1.96488 + 1.42757i −0.185663 + 0.134892i
\(113\) −2.93737 9.04030i −0.276325 0.850440i −0.988866 0.148809i \(-0.952456\pi\)
0.712541 0.701630i \(-0.247544\pi\)
\(114\) −0.931534 + 2.86697i −0.0872461 + 0.268516i
\(115\) −3.70463 2.69157i −0.345458 0.250990i
\(116\) −7.12860 5.17923i −0.661874 0.480880i
\(117\) 5.71009 17.5739i 0.527898 1.62470i
\(118\) −1.48041 4.55624i −0.136283 0.419436i
\(119\) 8.48188 6.16245i 0.777533 0.564911i
\(120\) −6.05881 −0.553091
\(121\) 0.650702 + 10.9807i 0.0591547 + 0.998249i
\(122\) 9.26197 0.838540
\(123\) 12.5745 9.13587i 1.13380 0.823754i
\(124\) 2.87228 + 8.83996i 0.257938 + 0.793851i
\(125\) 3.70191 11.3933i 0.331109 1.01905i
\(126\) −11.9607 8.68996i −1.06554 0.774163i
\(127\) 8.13791 + 5.91254i 0.722123 + 0.524653i 0.887062 0.461651i \(-0.152743\pi\)
−0.164939 + 0.986304i \(0.552743\pi\)
\(128\) 0.309017 0.951057i 0.0273135 0.0840623i
\(129\) 11.1636 + 34.3580i 0.982899 + 3.02505i
\(130\) 4.93593 3.58616i 0.432909 0.314527i
\(131\) 8.33735 0.728437 0.364219 0.931313i \(-0.381336\pi\)
0.364219 + 0.931313i \(0.381336\pi\)
\(132\) 7.27574 + 6.85736i 0.633272 + 0.596856i
\(133\) −2.42872 −0.210597
\(134\) −7.43874 + 5.40456i −0.642610 + 0.466883i
\(135\) −5.78018 17.7896i −0.497479 1.53108i
\(136\) −1.33395 + 4.10547i −0.114385 + 0.352041i
\(137\) 15.2539 + 11.0826i 1.30323 + 0.946852i 0.999982 0.00605974i \(-0.00192889\pi\)
0.303248 + 0.952912i \(0.401929\pi\)
\(138\) 5.55635 + 4.03692i 0.472988 + 0.343646i
\(139\) 1.12031 3.44797i 0.0950237 0.292453i −0.892236 0.451569i \(-0.850864\pi\)
0.987260 + 0.159116i \(0.0508645\pi\)
\(140\) −1.50845 4.64254i −0.127487 0.392366i
\(141\) 21.9494 15.9471i 1.84847 1.34299i
\(142\) −10.7608 −0.903025
\(143\) −9.98614 1.28002i −0.835083 0.107041i
\(144\) 6.08725 0.507271
\(145\) 14.3277 10.4097i 1.18985 0.864475i
\(146\) 2.76254 + 8.50223i 0.228630 + 0.703649i
\(147\) −1.02590 + 3.15741i −0.0846152 + 0.260419i
\(148\) −0.864072 0.627785i −0.0710263 0.0516036i
\(149\) −4.38605 3.18665i −0.359319 0.261061i 0.393449 0.919346i \(-0.371282\pi\)
−0.752768 + 0.658286i \(0.771282\pi\)
\(150\) −0.894610 + 2.75333i −0.0730446 + 0.224808i
\(151\) 2.37160 + 7.29902i 0.192998 + 0.593986i 0.999994 + 0.00342969i \(0.00109171\pi\)
−0.806996 + 0.590556i \(0.798908\pi\)
\(152\) 0.809017 0.587785i 0.0656199 0.0476757i
\(153\) −26.2771 −2.12438
\(154\) −3.44299 + 7.28227i −0.277444 + 0.586822i
\(155\) −18.6816 −1.50055
\(156\) −7.40310 + 5.37867i −0.592722 + 0.430638i
\(157\) −7.41723 22.8279i −0.591959 1.82186i −0.569315 0.822120i \(-0.692791\pi\)
−0.0226447 0.999744i \(-0.507209\pi\)
\(158\) 2.01511 6.20187i 0.160313 0.493394i
\(159\) −12.4264 9.02830i −0.985477 0.715991i
\(160\) 1.62603 + 1.18138i 0.128549 + 0.0933964i
\(161\) −1.70992 + 5.26259i −0.134761 + 0.414751i
\(162\) 3.02616 + 9.31355i 0.237757 + 0.731742i
\(163\) −0.120269 + 0.0873802i −0.00942016 + 0.00684415i −0.592485 0.805581i \(-0.701853\pi\)
0.583065 + 0.812425i \(0.301853\pi\)
\(164\) −5.15603 −0.402618
\(165\) −17.6268 + 9.64866i −1.37225 + 0.751147i
\(166\) −4.09108 −0.317529
\(167\) −0.405980 + 0.294961i −0.0314156 + 0.0228248i −0.603382 0.797452i \(-0.706181\pi\)
0.571967 + 0.820277i \(0.306181\pi\)
\(168\) 2.26244 + 6.96306i 0.174551 + 0.537212i
\(169\) −1.16973 + 3.60006i −0.0899794 + 0.276928i
\(170\) −7.01917 5.09972i −0.538346 0.391131i
\(171\) 4.92469 + 3.57799i 0.376600 + 0.273616i
\(172\) 3.70329 11.3976i 0.282373 0.869055i
\(173\) 0.762254 + 2.34598i 0.0579531 + 0.178361i 0.975843 0.218475i \(-0.0701081\pi\)
−0.917889 + 0.396836i \(0.870108\pi\)
\(174\) −21.4892 + 15.6128i −1.62909 + 1.18361i
\(175\) −2.33245 −0.176317
\(176\) −0.615539 3.25900i −0.0463980 0.245657i
\(177\) −14.4416 −1.08550
\(178\) −4.89319 + 3.55511i −0.366760 + 0.266467i
\(179\) 5.96105 + 18.3462i 0.445550 + 1.37126i 0.881879 + 0.471475i \(0.156278\pi\)
−0.436329 + 0.899787i \(0.643722\pi\)
\(180\) −3.78072 + 11.6359i −0.281798 + 0.867286i
\(181\) 6.91560 + 5.02448i 0.514033 + 0.373466i 0.814351 0.580372i \(-0.197093\pi\)
−0.300319 + 0.953839i \(0.597093\pi\)
\(182\) −5.96452 4.33348i −0.442120 0.321219i
\(183\) 8.62784 26.5538i 0.637788 1.96291i
\(184\) −0.704041 2.16682i −0.0519026 0.159740i
\(185\) 1.73669 1.26178i 0.127684 0.0927676i
\(186\) 28.0195 2.05449
\(187\) 2.65713 + 14.0683i 0.194308 + 1.02878i
\(188\) −9.00012 −0.656401
\(189\) −18.2862 + 13.2857i −1.33012 + 0.966392i
\(190\) 0.621089 + 1.91151i 0.0450585 + 0.138676i
\(191\) −0.308916 + 0.950746i −0.0223524 + 0.0687936i −0.961610 0.274418i \(-0.911515\pi\)
0.939258 + 0.343212i \(0.111515\pi\)
\(192\) −2.43879 1.77188i −0.176004 0.127875i
\(193\) −4.06224 2.95139i −0.292406 0.212446i 0.431904 0.901919i \(-0.357842\pi\)
−0.724311 + 0.689474i \(0.757842\pi\)
\(194\) −2.91308 + 8.96554i −0.209147 + 0.643688i
\(195\) −5.68342 17.4918i −0.406998 1.25261i
\(196\) 0.890976 0.647332i 0.0636412 0.0462380i
\(197\) −11.0791 −0.789355 −0.394677 0.918820i \(-0.629144\pi\)
−0.394677 + 0.918820i \(0.629144\pi\)
\(198\) 17.7095 9.69394i 1.25856 0.688919i
\(199\) −10.4170 −0.738442 −0.369221 0.929342i \(-0.620375\pi\)
−0.369221 + 0.929342i \(0.620375\pi\)
\(200\) 0.776949 0.564487i 0.0549386 0.0399152i
\(201\) 8.56526 + 26.3612i 0.604147 + 1.85937i
\(202\) −2.71499 + 8.35588i −0.191026 + 0.587917i
\(203\) −17.3134 12.5789i −1.21516 0.882867i
\(204\) 10.5276 + 7.64877i 0.737081 + 0.535521i
\(205\) 3.20235 9.85582i 0.223662 0.688360i
\(206\) −3.25866 10.0291i −0.227042 0.698763i
\(207\) 11.2200 8.15183i 0.779847 0.566592i
\(208\) 3.03557 0.210479
\(209\) 1.41761 2.99839i 0.0980584 0.207403i
\(210\) −14.7152 −1.01544
\(211\) −17.1784 + 12.4808i −1.18261 + 0.859217i −0.992464 0.122539i \(-0.960896\pi\)
−0.190147 + 0.981756i \(0.560896\pi\)
\(212\) 1.57454 + 4.84593i 0.108140 + 0.332820i
\(213\) −10.0240 + 30.8508i −0.686836 + 2.11386i
\(214\) 6.22572 + 4.52325i 0.425582 + 0.309203i
\(215\) 19.4865 + 14.1578i 1.32897 + 0.965553i
\(216\) 2.87588 8.85104i 0.195679 0.602237i
\(217\) 6.97596 + 21.4698i 0.473559 + 1.45746i
\(218\) 11.5145 8.36576i 0.779859 0.566601i
\(219\) 26.9490 1.82104
\(220\) 6.61194 + 0.847519i 0.445777 + 0.0571397i
\(221\) −13.1038 −0.881456
\(222\) −2.60475 + 1.89246i −0.174819 + 0.127014i
\(223\) −1.85028 5.69459i −0.123904 0.381338i 0.869796 0.493412i \(-0.164251\pi\)
−0.993700 + 0.112074i \(0.964251\pi\)
\(224\) 0.750517 2.30985i 0.0501460 0.154334i
\(225\) 4.72948 + 3.43617i 0.315299 + 0.229078i
\(226\) 7.69014 + 5.58721i 0.511540 + 0.371656i
\(227\) 4.21804 12.9818i 0.279961 0.861632i −0.707903 0.706310i \(-0.750359\pi\)
0.987864 0.155322i \(-0.0496415\pi\)
\(228\) −0.931534 2.86697i −0.0616923 0.189869i
\(229\) 9.16175 6.65640i 0.605425 0.439867i −0.242375 0.970183i \(-0.577926\pi\)
0.847800 + 0.530315i \(0.177926\pi\)
\(230\) 4.57917 0.301942
\(231\) 17.6708 + 16.6546i 1.16265 + 1.09579i
\(232\) 8.81144 0.578499
\(233\) −6.08452 + 4.42067i −0.398610 + 0.289607i −0.768975 0.639279i \(-0.779233\pi\)
0.370364 + 0.928887i \(0.379233\pi\)
\(234\) 5.71009 + 17.5739i 0.373281 + 1.14884i
\(235\) 5.58987 17.2038i 0.364643 1.12226i
\(236\) 3.87577 + 2.81591i 0.252291 + 0.183300i
\(237\) −15.9034 11.5545i −1.03304 0.750545i
\(238\) −3.23979 + 9.97105i −0.210004 + 0.646327i
\(239\) −0.157844 0.485794i −0.0102101 0.0314234i 0.945822 0.324687i \(-0.105259\pi\)
−0.956032 + 0.293263i \(0.905259\pi\)
\(240\) 4.90168 3.56128i 0.316402 0.229880i
\(241\) −22.6208 −1.45713 −0.728566 0.684975i \(-0.759813\pi\)
−0.728566 + 0.684975i \(0.759813\pi\)
\(242\) −6.98074 8.50113i −0.448739 0.546473i
\(243\) 1.60101 0.102705
\(244\) −7.49309 + 5.44405i −0.479696 + 0.348520i
\(245\) 0.684009 + 2.10516i 0.0436998 + 0.134494i
\(246\) −4.80301 + 14.7822i −0.306229 + 0.942476i
\(247\) 2.45583 + 1.78426i 0.156260 + 0.113530i
\(248\) −7.51972 5.46339i −0.477502 0.346926i
\(249\) −3.81098 + 11.7290i −0.241511 + 0.743294i
\(250\) 3.70191 + 11.3933i 0.234130 + 0.720577i
\(251\) 10.2196 7.42498i 0.645056 0.468661i −0.216527 0.976277i \(-0.569473\pi\)
0.861583 + 0.507616i \(0.169473\pi\)
\(252\) 14.7842 0.931319
\(253\) −5.49891 5.18270i −0.345714 0.325834i
\(254\) −10.0590 −0.631158
\(255\) −21.1593 + 15.3731i −1.32505 + 0.962704i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) 7.74078 23.8237i 0.482857 1.48608i −0.352205 0.935923i \(-0.614568\pi\)
0.835061 0.550157i \(-0.185432\pi\)
\(258\) −29.2267 21.2344i −1.81957 1.32200i
\(259\) −2.09859 1.52472i −0.130400 0.0947412i
\(260\) −1.88536 + 5.80253i −0.116925 + 0.359858i
\(261\) 16.5749 + 51.0122i 1.02596 + 3.15758i
\(262\) −6.74506 + 4.90057i −0.416711 + 0.302758i
\(263\) −1.50368 −0.0927212 −0.0463606 0.998925i \(-0.514762\pi\)
−0.0463606 + 0.998925i \(0.514762\pi\)
\(264\) −9.91685 1.27114i −0.610340 0.0782335i
\(265\) −10.2410 −0.629100
\(266\) 1.96488 1.42757i 0.120474 0.0875298i
\(267\) 5.63422 + 17.3403i 0.344808 + 1.06121i
\(268\) 2.84135 8.74477i 0.173563 0.534172i
\(269\) 8.53455 + 6.20071i 0.520361 + 0.378064i 0.816740 0.577006i \(-0.195779\pi\)
−0.296379 + 0.955070i \(0.595779\pi\)
\(270\) 15.1327 + 10.9946i 0.920947 + 0.669107i
\(271\) 0.603383 1.85702i 0.0366529 0.112806i −0.931056 0.364876i \(-0.881111\pi\)
0.967709 + 0.252070i \(0.0811114\pi\)
\(272\) −1.33395 4.10547i −0.0808825 0.248931i
\(273\) −17.9801 + 13.0633i −1.08820 + 0.790626i
\(274\) −18.8549 −1.13906
\(275\) 1.36142 2.87955i 0.0820969 0.173643i
\(276\) −6.86802 −0.413407
\(277\) −26.3089 + 19.1146i −1.58075 + 1.14848i −0.664922 + 0.746913i \(0.731535\pi\)
−0.915829 + 0.401569i \(0.868465\pi\)
\(278\) 1.12031 + 3.44797i 0.0671919 + 0.206795i
\(279\) 17.4843 53.8110i 1.04675 3.22158i
\(280\) 3.94918 + 2.86925i 0.236009 + 0.171470i
\(281\) −11.2894 8.20224i −0.673470 0.489304i 0.197715 0.980260i \(-0.436648\pi\)
−0.871185 + 0.490955i \(0.836648\pi\)
\(282\) −8.38391 + 25.8030i −0.499255 + 1.53655i
\(283\) −6.97848 21.4775i −0.414827 1.27671i −0.912405 0.409288i \(-0.865777\pi\)
0.497578 0.867419i \(-0.334223\pi\)
\(284\) 8.70566 6.32503i 0.516586 0.375322i
\(285\) 6.05881 0.358893
\(286\) 8.83133 4.83414i 0.522208 0.285849i
\(287\) −12.5226 −0.739183
\(288\) −4.92469 + 3.57799i −0.290190 + 0.210835i
\(289\) 0.505031 + 1.55433i 0.0297077 + 0.0914310i
\(290\) −5.47268 + 16.8432i −0.321367 + 0.989066i
\(291\) 22.9903 + 16.7034i 1.34771 + 0.979171i
\(292\) −7.23243 5.25467i −0.423246 0.307506i
\(293\) 8.07242 24.8443i 0.471596 1.45142i −0.378899 0.925438i \(-0.623697\pi\)
0.850494 0.525984i \(-0.176303\pi\)
\(294\) −1.02590 3.15741i −0.0598320 0.184144i
\(295\) −7.78985 + 5.65966i −0.453543 + 0.329518i
\(296\) 1.06805 0.0620792
\(297\) −5.72853 30.3300i −0.332403 1.75993i
\(298\) 5.42145 0.314056
\(299\) 5.59517 4.06513i 0.323577 0.235092i
\(300\) −0.894610 2.75333i −0.0516503 0.158963i
\(301\) 8.99426 27.6815i 0.518421 1.59553i
\(302\) −6.20892 4.51105i −0.357283 0.259581i
\(303\) 21.4269 + 15.5676i 1.23094 + 0.894333i
\(304\) −0.309017 + 0.951057i −0.0177233 + 0.0545468i
\(305\) −5.75251 17.7044i −0.329387 1.01375i
\(306\) 21.2586 15.4453i 1.21528 0.882949i
\(307\) −17.6119 −1.00516 −0.502581 0.864530i \(-0.667616\pi\)
−0.502581 + 0.864530i \(0.667616\pi\)
\(308\) −1.49497 7.91522i −0.0851840 0.451011i
\(309\) −31.7888 −1.80840
\(310\) 15.1138 10.9808i 0.858404 0.623667i
\(311\) −2.71489 8.35559i −0.153948 0.473802i 0.844105 0.536178i \(-0.180132\pi\)
−0.998053 + 0.0623758i \(0.980132\pi\)
\(312\) 2.82773 8.70287i 0.160089 0.492703i
\(313\) −26.0750 18.9446i −1.47385 1.07081i −0.979476 0.201559i \(-0.935399\pi\)
−0.494369 0.869252i \(-0.664601\pi\)
\(314\) 19.4186 + 14.1084i 1.09585 + 0.796183i
\(315\) −9.18232 + 28.2603i −0.517365 + 1.59229i
\(316\) 2.01511 + 6.20187i 0.113359 + 0.348882i
\(317\) −0.610047 + 0.443225i −0.0342637 + 0.0248940i −0.604785 0.796389i \(-0.706741\pi\)
0.570522 + 0.821283i \(0.306741\pi\)
\(318\) 15.3599 0.861339
\(319\) 25.6350 14.0322i 1.43528 0.785653i
\(320\) −2.00989 −0.112356
\(321\) 18.7675 13.6354i 1.04750 0.761052i
\(322\) −1.70992 5.26259i −0.0952901 0.293273i
\(323\) 1.33395 4.10547i 0.0742229 0.228435i
\(324\) −7.92258 5.75609i −0.440143 0.319783i
\(325\) 2.35848 + 1.71354i 0.130825 + 0.0950500i
\(326\) 0.0459385 0.141384i 0.00254430 0.00783054i
\(327\) −13.2582 40.8046i −0.733181 2.25650i
\(328\) 4.17131 3.03064i 0.230322 0.167339i
\(329\) −21.8588 −1.20511
\(330\) 8.58905 18.1667i 0.472812 1.00004i
\(331\) 6.33131 0.348000 0.174000 0.984746i \(-0.444331\pi\)
0.174000 + 0.984746i \(0.444331\pi\)
\(332\) 3.30975 2.40468i 0.181646 0.131974i
\(333\) 2.00907 + 6.18329i 0.110097 + 0.338842i
\(334\) 0.155070 0.477258i 0.00848507 0.0261144i
\(335\) 14.9510 + 10.8626i 0.816862 + 0.593485i
\(336\) −5.92314 4.30341i −0.323134 0.234770i
\(337\) 2.81490 8.66338i 0.153338 0.471924i −0.844651 0.535317i \(-0.820192\pi\)
0.997989 + 0.0633927i \(0.0201921\pi\)
\(338\) −1.16973 3.60006i −0.0636250 0.195818i
\(339\) 23.1820 16.8427i 1.25907 0.914769i
\(340\) 8.67617 0.470531
\(341\) −30.5775 3.91942i −1.65586 0.212249i
\(342\) −6.08725 −0.329161
\(343\) 15.9181 11.5652i 0.859495 0.624460i
\(344\) 3.70329 + 11.3976i 0.199668 + 0.614515i
\(345\) 4.26565 13.1283i 0.229655 0.706805i
\(346\) −1.99561 1.44989i −0.107285 0.0779468i
\(347\) 0.655926 + 0.476558i 0.0352119 + 0.0255830i 0.605252 0.796034i \(-0.293072\pi\)
−0.570040 + 0.821617i \(0.693072\pi\)
\(348\) 8.20815 25.2621i 0.440003 1.35419i
\(349\) −8.00589 24.6396i −0.428545 1.31893i −0.899558 0.436801i \(-0.856111\pi\)
0.471013 0.882126i \(-0.343889\pi\)
\(350\) 1.88699 1.37098i 0.100864 0.0732821i
\(351\) 28.2506 1.50791
\(352\) 2.41358 + 2.27479i 0.128644 + 0.121246i
\(353\) 30.9371 1.64662 0.823309 0.567594i \(-0.192125\pi\)
0.823309 + 0.567594i \(0.192125\pi\)
\(354\) 11.6835 8.48858i 0.620973 0.451163i
\(355\) 6.68340 + 20.5694i 0.354718 + 1.09171i
\(356\) 1.86903 5.75230i 0.0990586 0.304871i
\(357\) 25.5687 + 18.5767i 1.35324 + 0.983185i
\(358\) −15.6062 11.3386i −0.824815 0.599263i
\(359\) −10.4707 + 32.2254i −0.552620 + 1.70079i 0.149526 + 0.988758i \(0.452225\pi\)
−0.702146 + 0.712033i \(0.747775\pi\)
\(360\) −3.78072 11.6359i −0.199261 0.613264i
\(361\) −0.809017 + 0.587785i −0.0425798 + 0.0309361i
\(362\) −8.54815 −0.449281
\(363\) −30.8752 + 12.0945i −1.62053 + 0.634795i
\(364\) 7.37255 0.386427
\(365\) 14.5363 10.5613i 0.760867 0.552802i
\(366\) 8.62784 + 26.5538i 0.450984 + 1.38799i
\(367\) −7.94432 + 24.4501i −0.414690 + 1.27629i 0.497838 + 0.867270i \(0.334128\pi\)
−0.912528 + 0.409015i \(0.865872\pi\)
\(368\) 1.84320 + 1.33917i 0.0960836 + 0.0698088i
\(369\) 25.3918 + 18.4482i 1.32185 + 0.960377i
\(370\) −0.663355 + 2.04160i −0.0344862 + 0.106138i
\(371\) 3.82412 + 11.7694i 0.198538 + 0.611038i
\(372\) −22.6682 + 16.4694i −1.17529 + 0.853900i
\(373\) 12.1401 0.628589 0.314294 0.949326i \(-0.398232\pi\)
0.314294 + 0.949326i \(0.398232\pi\)
\(374\) −10.4188 9.81968i −0.538743 0.507763i
\(375\) 36.1127 1.86485
\(376\) 7.28125 5.29014i 0.375502 0.272818i
\(377\) 8.26550 + 25.4386i 0.425695 + 1.31015i
\(378\) 6.98470 21.4967i 0.359254 1.10567i
\(379\) −25.8874 18.8083i −1.32975 0.966118i −0.999755 0.0221344i \(-0.992954\pi\)
−0.329992 0.943984i \(-0.607046\pi\)
\(380\) −1.62603 1.18138i −0.0834136 0.0606036i
\(381\) −9.37031 + 28.8388i −0.480055 + 1.47746i
\(382\) −0.308916 0.950746i −0.0158055 0.0486444i
\(383\) 15.8487 11.5148i 0.809833 0.588378i −0.103949 0.994583i \(-0.533148\pi\)
0.913782 + 0.406205i \(0.133148\pi\)
\(384\) 3.01451 0.153833
\(385\) 16.0586 + 2.05839i 0.818420 + 0.104905i
\(386\) 5.02121 0.255573
\(387\) −59.0179 + 42.8790i −3.00005 + 2.17966i
\(388\) −2.91308 8.96554i −0.147889 0.455156i
\(389\) −3.38152 + 10.4073i −0.171450 + 0.527669i −0.999454 0.0330539i \(-0.989477\pi\)
0.828004 + 0.560723i \(0.189477\pi\)
\(390\) 14.8794 + 10.8105i 0.753447 + 0.547411i
\(391\) −7.95665 5.78084i −0.402385 0.292350i
\(392\) −0.340323 + 1.04741i −0.0171889 + 0.0529020i
\(393\) 7.76652 + 23.9029i 0.391769 + 1.20574i
\(394\) 8.96320 6.51214i 0.451559 0.328077i
\(395\) −13.1065 −0.659460
\(396\) −8.62936 + 18.2520i −0.433642 + 0.917196i
\(397\) 17.4801 0.877303 0.438651 0.898657i \(-0.355456\pi\)
0.438651 + 0.898657i \(0.355456\pi\)
\(398\) 8.42754 6.12296i 0.422434 0.306916i
\(399\) −2.26244 6.96306i −0.113264 0.348589i
\(400\) −0.296768 + 0.913359i −0.0148384 + 0.0456679i
\(401\) −13.5839 9.86930i −0.678349 0.492849i 0.194461 0.980910i \(-0.437704\pi\)
−0.872809 + 0.488061i \(0.837704\pi\)
\(402\) −22.4241 16.2921i −1.11841 0.812576i
\(403\) 8.71899 26.8343i 0.434324 1.33671i
\(404\) −2.71499 8.35588i −0.135076 0.415720i
\(405\) 15.9235 11.5691i 0.791244 0.574872i
\(406\) 21.4005 1.06209
\(407\) 3.10727 1.70087i 0.154022 0.0843091i
\(408\) −13.0129 −0.644233
\(409\) 5.67252 4.12133i 0.280488 0.203787i −0.438642 0.898662i \(-0.644540\pi\)
0.719130 + 0.694875i \(0.244540\pi\)
\(410\) 3.20235 + 9.85582i 0.158153 + 0.486744i
\(411\) −17.5640 + 54.0563i −0.866366 + 2.66640i
\(412\) 8.53130 + 6.19835i 0.420307 + 0.305371i
\(413\) 9.41317 + 6.83907i 0.463192 + 0.336528i
\(414\) −4.28567 + 13.1899i −0.210629 + 0.648250i
\(415\) 2.54092 + 7.82016i 0.124729 + 0.383876i
\(416\) −2.45583 + 1.78426i −0.120407 + 0.0874806i
\(417\) 10.9288 0.535186
\(418\) 0.615539 + 3.25900i 0.0301070 + 0.159403i
\(419\) −22.9541 −1.12138 −0.560690 0.828026i \(-0.689464\pi\)
−0.560690 + 0.828026i \(0.689464\pi\)
\(420\) 11.9048 8.64936i 0.580896 0.422046i
\(421\) 1.58632 + 4.88218i 0.0773123 + 0.237943i 0.982242 0.187618i \(-0.0600768\pi\)
−0.904930 + 0.425561i \(0.860077\pi\)
\(422\) 6.56157 20.1944i 0.319412 0.983050i
\(423\) 44.3228 + 32.2024i 2.15505 + 1.56573i
\(424\) −4.12220 2.99495i −0.200192 0.145448i
\(425\) 1.28107 3.94274i 0.0621412 0.191251i
\(426\) −10.0240 30.8508i −0.485666 1.49473i
\(427\) −18.1986 + 13.2221i −0.880694 + 0.639862i
\(428\) −7.69542 −0.371972
\(429\) −5.63263 29.8223i −0.271946 1.43983i
\(430\) −24.0867 −1.16156
\(431\) 31.7617 23.0763i 1.52991 1.11154i 0.573620 0.819122i \(-0.305539\pi\)
0.956289 0.292422i \(-0.0944612\pi\)
\(432\) 2.87588 + 8.85104i 0.138366 + 0.425846i
\(433\) −7.36715 + 22.6738i −0.354043 + 1.08963i 0.602520 + 0.798104i \(0.294163\pi\)
−0.956562 + 0.291528i \(0.905837\pi\)
\(434\) −18.2633 13.2691i −0.876666 0.636935i
\(435\) 43.1909 + 31.3800i 2.07084 + 1.50456i
\(436\) −4.39814 + 13.5361i −0.210633 + 0.648261i
\(437\) 0.704041 + 2.16682i 0.0336789 + 0.103653i
\(438\) −21.8022 + 15.8402i −1.04175 + 0.756875i
\(439\) −20.4659 −0.976783 −0.488391 0.872625i \(-0.662416\pi\)
−0.488391 + 0.872625i \(0.662416\pi\)
\(440\) −5.84733 + 3.20074i −0.278761 + 0.152589i
\(441\) −6.70393 −0.319235
\(442\) 10.6012 7.70221i 0.504247 0.366357i
\(443\) 6.33344 + 19.4923i 0.300911 + 0.926108i 0.981172 + 0.193138i \(0.0618665\pi\)
−0.680261 + 0.732970i \(0.738133\pi\)
\(444\) 0.994926 3.06207i 0.0472171 0.145319i
\(445\) 9.83476 + 7.14537i 0.466212 + 0.338723i
\(446\) 4.84410 + 3.51945i 0.229375 + 0.166651i
\(447\) 5.05027 15.5431i 0.238869 0.735165i
\(448\) 0.750517 + 2.30985i 0.0354586 + 0.109130i
\(449\) −24.2361 + 17.6086i −1.14377 + 0.831000i −0.987641 0.156736i \(-0.949903\pi\)
−0.156133 + 0.987736i \(0.549903\pi\)
\(450\) −5.84596 −0.275581
\(451\) 7.30925 15.4598i 0.344179 0.727974i
\(452\) −9.50553 −0.447103
\(453\) −18.7168 + 13.5986i −0.879393 + 0.638917i
\(454\) 4.21804 + 12.9818i 0.197962 + 0.609266i
\(455\) −4.57901 + 14.0927i −0.214667 + 0.660678i
\(456\) 2.43879 + 1.77188i 0.114207 + 0.0829760i
\(457\) 23.8249 + 17.3098i 1.11448 + 0.809717i 0.983363 0.181650i \(-0.0581438\pi\)
0.131116 + 0.991367i \(0.458144\pi\)
\(458\) −3.49948 + 10.7703i −0.163520 + 0.503262i
\(459\) −12.4144 38.2077i −0.579456 1.78338i
\(460\) −3.70463 + 2.69157i −0.172729 + 0.125495i
\(461\) −12.7886 −0.595624 −0.297812 0.954624i \(-0.596257\pi\)
−0.297812 + 0.954624i \(0.596257\pi\)
\(462\) −24.0853 3.08725i −1.12055 0.143632i
\(463\) −22.8327 −1.06112 −0.530562 0.847646i \(-0.678019\pi\)
−0.530562 + 0.847646i \(0.678019\pi\)
\(464\) −7.12860 + 5.17923i −0.330937 + 0.240440i
\(465\) −17.4026 53.5596i −0.807025 2.48377i
\(466\) 2.32408 7.15279i 0.107661 0.331346i
\(467\) −18.8165 13.6710i −0.870724 0.632618i 0.0600571 0.998195i \(-0.480872\pi\)
−0.930781 + 0.365577i \(0.880872\pi\)
\(468\) −14.9492 10.8612i −0.691028 0.502061i
\(469\) 6.90084 21.2386i 0.318651 0.980708i
\(470\) 5.58987 + 17.2038i 0.257841 + 0.793554i
\(471\) 58.5374 42.5299i 2.69726 1.95967i
\(472\) −4.79071 −0.220511
\(473\) 28.9245 + 27.2612i 1.32995 + 1.25347i
\(474\) 19.6577 0.902907
\(475\) −0.776949 + 0.564487i −0.0356489 + 0.0259004i
\(476\) −3.23979 9.97105i −0.148496 0.457022i
\(477\) 9.58461 29.4984i 0.438849 1.35064i
\(478\) 0.413241 + 0.300237i 0.0189012 + 0.0137325i
\(479\) 10.1706 + 7.38938i 0.464707 + 0.337629i 0.795375 0.606118i \(-0.207274\pi\)
−0.330668 + 0.943747i \(0.607274\pi\)
\(480\) −1.87228 + 5.76227i −0.0854573 + 0.263011i
\(481\) 1.00188 + 3.08346i 0.0456817 + 0.140594i
\(482\) 18.3006 13.2962i 0.833569 0.605624i
\(483\) −16.6805 −0.758990
\(484\) 10.6444 + 2.77438i 0.483835 + 0.126108i
\(485\) 18.9470 0.860341
\(486\) −1.29524 + 0.941049i −0.0587534 + 0.0426869i
\(487\) −6.37848 19.6309i −0.289037 0.889563i −0.985160 0.171641i \(-0.945093\pi\)
0.696123 0.717923i \(-0.254907\pi\)
\(488\) 2.86211 8.80866i 0.129561 0.398749i
\(489\) −0.362550 0.263408i −0.0163951 0.0119117i
\(490\) −1.79076 1.30106i −0.0808983 0.0587760i
\(491\) −9.35239 + 28.7837i −0.422067 + 1.29899i 0.483707 + 0.875230i \(0.339290\pi\)
−0.905775 + 0.423760i \(0.860710\pi\)
\(492\) −4.80301 14.7822i −0.216537 0.666431i
\(493\) 30.7724 22.3574i 1.38592 1.00693i
\(494\) −3.03557 −0.136577
\(495\) −29.5293 27.8312i −1.32724 1.25092i
\(496\) 9.29488 0.417352
\(497\) 21.1436 15.3617i 0.948422 0.689069i
\(498\) −3.81098 11.7290i −0.170774 0.525588i
\(499\) −11.2020 + 34.4761i −0.501469 + 1.54336i 0.305157 + 0.952302i \(0.401291\pi\)
−0.806626 + 0.591062i \(0.798709\pi\)
\(500\) −9.69173 7.04146i −0.433428 0.314904i
\(501\) −1.22383 0.889163i −0.0546766 0.0397249i
\(502\) −3.90354 + 12.0139i −0.174224 + 0.536205i
\(503\) 4.45084 + 13.6983i 0.198453 + 0.610776i 0.999919 + 0.0127355i \(0.00405396\pi\)
−0.801466 + 0.598041i \(0.795946\pi\)
\(504\) −11.9607 + 8.68996i −0.532772 + 0.387081i
\(505\) 17.6586 0.785799
\(506\) 7.49503 + 0.960714i 0.333195 + 0.0427089i
\(507\) −11.4109 −0.506776
\(508\) 8.13791 5.91254i 0.361061 0.262326i
\(509\) 11.1185 + 34.2193i 0.492820 + 1.51675i 0.820326 + 0.571896i \(0.193792\pi\)
−0.327506 + 0.944849i \(0.606208\pi\)
\(510\) 8.08214 24.8743i 0.357883 1.10145i
\(511\) −17.5656 12.7621i −0.777055 0.564563i
\(512\) −0.809017 0.587785i −0.0357538 0.0259767i
\(513\) −2.87588 + 8.85104i −0.126973 + 0.390783i
\(514\) 7.74078 + 23.8237i 0.341431 + 1.05082i
\(515\) −17.1469 + 12.4580i −0.755584 + 0.548964i
\(516\) 36.1261 1.59036
\(517\) 12.7587 26.9859i 0.561126 1.18684i
\(518\) 2.59400 0.113974
\(519\) −6.01577 + 4.37072i −0.264063 + 0.191853i
\(520\) −1.88536 5.80253i −0.0826783 0.254458i
\(521\) −7.43088 + 22.8699i −0.325553 + 1.00195i 0.645637 + 0.763644i \(0.276592\pi\)
−0.971190 + 0.238305i \(0.923408\pi\)
\(522\) −43.3936 31.5273i −1.89928 1.37991i
\(523\) −27.3141 19.8449i −1.19436 0.867756i −0.200645 0.979664i \(-0.564304\pi\)
−0.993719 + 0.111908i \(0.964304\pi\)
\(524\) 2.57638 7.92929i 0.112550 0.346393i
\(525\) −2.17276 6.68706i −0.0948270 0.291847i
\(526\) 1.21651 0.883844i 0.0530422 0.0385374i
\(527\) −40.1237 −1.74781
\(528\) 8.77006 4.80060i 0.381668 0.208919i
\(529\) −17.8092 −0.774315
\(530\) 8.28514 6.01951i 0.359884 0.261471i
\(531\) −9.01164 27.7350i −0.391072 1.20359i
\(532\) −0.750517 + 2.30985i −0.0325390 + 0.100145i
\(533\) 12.6623 + 9.19970i 0.548465 + 0.398483i
\(534\) −14.7506 10.7169i −0.638319 0.463766i
\(535\) 4.77954 14.7099i 0.206637 0.635964i
\(536\) 2.84135 + 8.74477i 0.122728 + 0.377716i
\(537\) −47.0451 + 34.1803i −2.03015 + 1.47499i
\(538\) −10.5493 −0.454812
\(539\) 0.677897 + 3.58917i 0.0291991 + 0.154596i
\(540\) −18.7051 −0.804937
\(541\) 6.98942 5.07811i 0.300499 0.218325i −0.427310 0.904105i \(-0.640539\pi\)
0.727809 + 0.685780i \(0.240539\pi\)
\(542\) 0.603383 + 1.85702i 0.0259175 + 0.0797659i
\(543\) −7.96289 + 24.5073i −0.341720 + 1.05171i
\(544\) 3.49232 + 2.53732i 0.149732 + 0.108787i
\(545\) −23.1428 16.8142i −0.991328 0.720242i
\(546\) 6.86778 21.1369i 0.293914 0.904574i
\(547\) −6.06770 18.6744i −0.259436 0.798462i −0.992923 0.118759i \(-0.962109\pi\)
0.733487 0.679703i \(-0.237891\pi\)
\(548\) 15.2539 11.0826i 0.651615 0.473426i
\(549\) 56.3799 2.40624
\(550\) 0.591140 + 3.12983i 0.0252063 + 0.133456i
\(551\) −8.81144 −0.375380
\(552\) 5.55635 4.03692i 0.236494 0.171823i
\(553\) 4.89414 + 15.0626i 0.208120 + 0.640527i
\(554\) 10.0491 30.9280i 0.426946 1.31400i
\(555\) 5.23525 + 3.80363i 0.222224 + 0.161455i
\(556\) −2.93302 2.13096i −0.124388 0.0903729i
\(557\) −13.0643 + 40.2079i −0.553554 + 1.70366i 0.146179 + 0.989258i \(0.453303\pi\)
−0.699732 + 0.714405i \(0.746697\pi\)
\(558\) 17.4843 + 53.8110i 0.740168 + 2.27800i
\(559\) −29.4309 + 21.3828i −1.24479 + 0.904395i
\(560\) −4.88145 −0.206279
\(561\) −37.8581 + 20.7230i −1.59837 + 0.874925i
\(562\) 13.9545 0.588634
\(563\) −12.8937 + 9.36786i −0.543407 + 0.394808i −0.825349 0.564623i \(-0.809021\pi\)
0.281942 + 0.959431i \(0.409021\pi\)
\(564\) −8.38391 25.8030i −0.353026 1.08650i
\(565\) 5.90378 18.1700i 0.248374 0.764416i
\(566\) 18.2699 + 13.2739i 0.767941 + 0.557942i
\(567\) −19.2417 13.9799i −0.808077 0.587103i
\(568\) −3.32527 + 10.2341i −0.139525 + 0.429414i
\(569\) −6.62219 20.3810i −0.277617 0.854416i −0.988515 0.151122i \(-0.951711\pi\)
0.710898 0.703295i \(-0.248289\pi\)
\(570\) −4.90168 + 3.56128i −0.205309 + 0.149166i
\(571\) 21.2358 0.888691 0.444346 0.895855i \(-0.353436\pi\)
0.444346 + 0.895855i \(0.353436\pi\)
\(572\) −4.30326 + 9.10183i −0.179928 + 0.380567i
\(573\) −3.01352 −0.125892
\(574\) 10.1310 7.36058i 0.422858 0.307225i
\(575\) 0.676135 + 2.08093i 0.0281968 + 0.0867807i
\(576\) 1.88106 5.78932i 0.0783776 0.241222i
\(577\) −4.74740 3.44919i −0.197637 0.143592i 0.484566 0.874755i \(-0.338978\pi\)
−0.682202 + 0.731163i \(0.738978\pi\)
\(578\) −1.32219 0.960627i −0.0549958 0.0399568i
\(579\) 4.67742 14.3956i 0.194387 0.598262i
\(580\) −5.47268 16.8432i −0.227241 0.699375i
\(581\) 8.03847 5.84029i 0.333492 0.242296i
\(582\) −28.4175 −1.17794
\(583\) −16.7621 2.14857i −0.694216 0.0889847i
\(584\) 8.93977 0.369930
\(585\) 30.0462 21.8299i 1.24226 0.902553i
\(586\) 8.07242 + 24.8443i 0.333468 + 1.02631i
\(587\) −12.8626 + 39.5869i −0.530895 + 1.63393i 0.221461 + 0.975169i \(0.428917\pi\)
−0.752356 + 0.658757i \(0.771083\pi\)
\(588\) 2.68585 + 1.95139i 0.110763 + 0.0804738i
\(589\) 7.51972 + 5.46339i 0.309844 + 0.225115i
\(590\) 2.97546 9.15752i 0.122498 0.377009i
\(591\) −10.3206 31.7635i −0.424532 1.30657i
\(592\) −0.864072 + 0.627785i −0.0355131 + 0.0258018i
\(593\) −13.4779 −0.553469 −0.276735 0.960946i \(-0.589252\pi\)
−0.276735 + 0.960946i \(0.589252\pi\)
\(594\) 22.4620 + 21.1704i 0.921628 + 0.868630i
\(595\) 21.0720 0.863868
\(596\) −4.38605 + 3.18665i −0.179660 + 0.130530i
\(597\) −9.70379 29.8652i −0.397150 1.22230i
\(598\) −2.13716 + 6.57751i −0.0873951 + 0.268975i
\(599\) −6.95155 5.05060i −0.284033 0.206362i 0.436642 0.899635i \(-0.356168\pi\)
−0.720674 + 0.693274i \(0.756168\pi\)
\(600\) 2.34212 + 1.70165i 0.0956166 + 0.0694695i
\(601\) 2.62327 8.07359i 0.107005 0.329329i −0.883191 0.469014i \(-0.844609\pi\)
0.990196 + 0.139686i \(0.0446092\pi\)
\(602\) 8.99426 + 27.6815i 0.366579 + 1.12821i
\(603\) −45.2815 + 32.8989i −1.84400 + 1.33975i
\(604\) 7.67465 0.312277
\(605\) −11.9144 + 18.6237i −0.484388 + 0.757163i
\(606\) −26.4851 −1.07588
\(607\) 3.84472 2.79335i 0.156052 0.113379i −0.507019 0.861935i \(-0.669253\pi\)
0.663071 + 0.748556i \(0.269253\pi\)
\(608\) −0.309017 0.951057i −0.0125323 0.0385704i
\(609\) 19.9353 61.3546i 0.807820 2.48621i
\(610\) 15.0603 + 10.9419i 0.609772 + 0.443025i
\(611\) 22.1027 + 16.0586i 0.894180 + 0.649660i
\(612\) −8.12008 + 24.9910i −0.328235 + 1.01020i
\(613\) 9.07861 + 27.9411i 0.366682 + 1.12853i 0.948921 + 0.315513i \(0.102177\pi\)
−0.582239 + 0.813017i \(0.697823\pi\)
\(614\) 14.2483 10.3520i 0.575015 0.417773i
\(615\) 31.2394 1.25969
\(616\) 5.86191 + 5.52482i 0.236183 + 0.222601i
\(617\) 14.0808 0.566870 0.283435 0.958991i \(-0.408526\pi\)
0.283435 + 0.958991i \(0.408526\pi\)
\(618\) 25.7176 18.6850i 1.03452 0.751619i
\(619\) −6.91200 21.2729i −0.277817 0.855032i −0.988460 0.151480i \(-0.951596\pi\)
0.710644 0.703552i \(-0.248404\pi\)
\(620\) −5.77294 + 17.7673i −0.231847 + 0.713552i
\(621\) 17.1538 + 12.4630i 0.688359 + 0.500122i
\(622\) 7.10769 + 5.16404i 0.284992 + 0.207059i
\(623\) 4.53937 13.9707i 0.181866 0.559725i
\(624\) 2.82773 + 8.70287i 0.113200 + 0.348394i
\(625\) 15.5945 11.3301i 0.623781 0.453203i
\(626\) 32.2305 1.28819
\(627\) 9.91685 + 1.27114i 0.396041 + 0.0507646i
\(628\) −24.0027 −0.957810
\(629\) 3.72998 2.70999i 0.148724 0.108054i
\(630\) −9.18232 28.2603i −0.365832 1.12592i
\(631\) −11.2617 + 34.6600i −0.448321 + 1.37979i 0.430479 + 0.902601i \(0.358345\pi\)
−0.878800 + 0.477190i \(0.841655\pi\)
\(632\) −5.27562 3.83296i −0.209853 0.152467i
\(633\) −51.7844 37.6236i −2.05825 1.49540i
\(634\) 0.233017 0.717154i 0.00925430 0.0284818i
\(635\) 6.24754 + 19.2279i 0.247926 + 0.763038i
\(636\) −12.4264 + 9.02830i −0.492739 + 0.357995i
\(637\) −3.34309 −0.132458
\(638\) −12.4912 + 26.4202i −0.494532 + 1.04598i
\(639\) −65.5036 −2.59128
\(640\) 1.62603 1.18138i 0.0642745 0.0466982i
\(641\) −4.74087 14.5909i −0.187253 0.576306i 0.812727 0.582645i \(-0.197982\pi\)
−0.999980 + 0.00633915i \(0.997982\pi\)
\(642\) −7.16854 + 22.0625i −0.282920 + 0.870737i
\(643\) 23.6238 + 17.1637i 0.931634 + 0.676871i 0.946392 0.323020i \(-0.104698\pi\)
−0.0147586 + 0.999891i \(0.504698\pi\)
\(644\) 4.47663 + 3.25246i 0.176404 + 0.128165i
\(645\) −22.4375 + 69.0556i −0.883477 + 2.71906i
\(646\) 1.33395 + 4.10547i 0.0524835 + 0.161528i
\(647\) −16.1200 + 11.7119i −0.633744 + 0.460442i −0.857695 0.514158i \(-0.828104\pi\)
0.223951 + 0.974600i \(0.428104\pi\)
\(648\) 9.79285 0.384699
\(649\) −13.9376 + 7.62921i −0.547097 + 0.299473i
\(650\) −2.91524 −0.114345
\(651\) −55.0548 + 39.9997i −2.15777 + 1.56771i
\(652\) 0.0459385 + 0.141384i 0.00179909 + 0.00553703i
\(653\) −1.07215 + 3.29974i −0.0419565 + 0.129129i −0.969841 0.243740i \(-0.921626\pi\)
0.927884 + 0.372868i \(0.121626\pi\)
\(654\) 34.7105 + 25.2186i 1.35729 + 0.986127i
\(655\) 13.5568 + 9.84958i 0.529707 + 0.384855i
\(656\) −1.59330 + 4.90367i −0.0622079 + 0.191456i
\(657\) 16.8163 + 51.7552i 0.656065 + 2.01916i
\(658\) 17.6841 12.8483i 0.689399 0.500878i
\(659\) −3.67907 −0.143316 −0.0716582 0.997429i \(-0.522829\pi\)
−0.0716582 + 0.997429i \(0.522829\pi\)
\(660\) 3.72943 + 19.7457i 0.145168 + 0.768600i
\(661\) 45.8391 1.78294 0.891468 0.453084i \(-0.149676\pi\)
0.891468 + 0.453084i \(0.149676\pi\)
\(662\) −5.12214 + 3.72145i −0.199078 + 0.144638i
\(663\) −12.2066 37.5681i −0.474066 1.45902i
\(664\) −1.26421 + 3.89085i −0.0490610 + 0.150994i
\(665\) −3.94918 2.86925i −0.153143 0.111265i
\(666\) −5.25982 3.82148i −0.203814 0.148079i
\(667\) −6.20361 + 19.0928i −0.240205 + 0.739275i
\(668\) 0.155070 + 0.477258i 0.00599985 + 0.0184657i
\(669\) 14.6026 10.6094i 0.564568 0.410183i
\(670\) −18.4805 −0.713963
\(671\) −5.70110 30.1848i −0.220089 1.16527i
\(672\) 7.32140 0.282429
\(673\) −11.2947 + 8.20605i −0.435377 + 0.316320i −0.783795 0.621019i \(-0.786719\pi\)
0.348418 + 0.937339i \(0.386719\pi\)
\(674\) 2.81490 + 8.66338i 0.108426 + 0.333701i
\(675\) −2.76188 + 8.50020i −0.106305 + 0.327173i
\(676\) 3.06240 + 2.22496i 0.117785 + 0.0855755i
\(677\) 7.62517 + 5.54001i 0.293059 + 0.212920i 0.724593 0.689177i \(-0.242028\pi\)
−0.431534 + 0.902097i \(0.642028\pi\)
\(678\) −8.85472 + 27.2520i −0.340064 + 1.04661i
\(679\) −7.07506 21.7748i −0.271516 0.835640i
\(680\) −7.01917 + 5.09972i −0.269173 + 0.195565i
\(681\) 41.1476 1.57678
\(682\) 27.0415 14.8021i 1.03547 0.566802i
\(683\) 45.4023 1.73727 0.868635 0.495453i \(-0.164998\pi\)
0.868635 + 0.495453i \(0.164998\pi\)
\(684\) 4.92469 3.57799i 0.188300 0.136808i
\(685\) 11.7105 + 36.0414i 0.447437 + 1.37707i
\(686\) −6.08016 + 18.7128i −0.232142 + 0.714459i
\(687\) 27.6181 + 20.0658i 1.05370 + 0.765556i
\(688\) −9.69534 7.04408i −0.369631 0.268553i
\(689\) 4.77962 14.7102i 0.182089 0.560413i
\(690\) 4.26565 + 13.1283i 0.162391 + 0.499787i
\(691\) 34.2495 24.8837i 1.30291 0.946621i 0.302932 0.953012i \(-0.402034\pi\)
0.999980 + 0.00639117i \(0.00203439\pi\)
\(692\) 2.46671 0.0937701
\(693\) −20.9583 + 44.3290i −0.796141 + 1.68392i
\(694\) −0.810769 −0.0307764
\(695\) 5.89503 4.28299i 0.223611 0.162463i
\(696\) 8.20815 + 25.2621i 0.311129 + 0.957557i
\(697\) 6.87788 21.1679i 0.260518 0.801792i
\(698\) 20.9597 + 15.2281i 0.793336 + 0.576392i
\(699\) −18.3418 13.3261i −0.693752 0.504040i
\(700\) −0.720768 + 2.21829i −0.0272425 + 0.0838437i
\(701\) −9.54839 29.3869i −0.360638 1.10993i −0.952668 0.304013i \(-0.901673\pi\)
0.592030 0.805916i \(-0.298327\pi\)
\(702\) −22.8552 + 16.6053i −0.862614 + 0.626726i
\(703\) −1.06805 −0.0402823
\(704\) −3.28971 0.421676i −0.123986 0.0158925i
\(705\) 54.5300 2.05372
\(706\) −25.0287 + 18.1844i −0.941966 + 0.684379i
\(707\) −6.59395 20.2941i −0.247991 0.763238i
\(708\) −4.46271 + 13.7348i −0.167719 + 0.516186i
\(709\) −10.8528 7.88503i −0.407586 0.296129i 0.365038 0.930993i \(-0.381056\pi\)
−0.772624 + 0.634864i \(0.781056\pi\)
\(710\) −17.4974 12.7126i −0.656665 0.477095i
\(711\) 12.2665 37.7523i 0.460028 1.41582i
\(712\) 1.86903 + 5.75230i 0.0700450 + 0.215576i
\(713\) 17.1324 12.4474i 0.641612 0.466158i
\(714\) −31.6046 −1.18277
\(715\) −14.7256 13.8788i −0.550705 0.519037i
\(716\) 19.2904 0.720915
\(717\) 1.24572 0.905067i 0.0465222 0.0338003i
\(718\) −10.4707 32.2254i −0.390762 1.20264i
\(719\) 12.5651 38.6713i 0.468597 1.44219i −0.385804 0.922581i \(-0.626076\pi\)
0.854401 0.519614i \(-0.173924\pi\)
\(720\) 9.89806 + 7.19136i 0.368879 + 0.268006i
\(721\) 20.7201 + 15.0541i 0.771659 + 0.560643i
\(722\) 0.309017 0.951057i 0.0115004 0.0353947i
\(723\) −21.0720 64.8530i −0.783677 2.41191i
\(724\) 6.91560 5.02448i 0.257016 0.186733i
\(725\) −8.46217 −0.314277
\(726\) 17.8697 27.9326i 0.663205 1.03668i
\(727\) −21.0063 −0.779080 −0.389540 0.921010i \(-0.627366\pi\)
−0.389540 + 0.921010i \(0.627366\pi\)
\(728\) −5.96452 + 4.33348i −0.221060 + 0.160609i
\(729\) −7.58707 23.3506i −0.281003 0.864838i
\(730\) −5.55239 + 17.0885i −0.205503 + 0.632474i
\(731\) 41.8523 + 30.4075i 1.54796 + 1.12466i
\(732\) −22.5880 16.4111i −0.834876 0.606573i
\(733\) 11.0078 33.8787i 0.406584 1.25134i −0.512981 0.858400i \(-0.671459\pi\)
0.919565 0.392937i \(-0.128541\pi\)
\(734\) −7.94432 24.4501i −0.293230 0.902470i
\(735\) −5.39826 + 3.92206i −0.199118 + 0.144667i
\(736\) −2.27832 −0.0839802
\(737\) 22.1923 + 20.9162i 0.817465 + 0.770458i
\(738\) −31.3860 −1.15534
\(739\) −31.3990 + 22.8127i −1.15503 + 0.839179i −0.989142 0.146965i \(-0.953049\pi\)
−0.165889 + 0.986144i \(0.553049\pi\)
\(740\) −0.663355 2.04160i −0.0243854 0.0750506i
\(741\) −2.82773 + 8.70287i −0.103879 + 0.319708i
\(742\) −10.0117 7.27391i −0.367540 0.267034i
\(743\) 16.5844 + 12.0493i 0.608422 + 0.442044i 0.848858 0.528620i \(-0.177291\pi\)
−0.240436 + 0.970665i \(0.577291\pi\)
\(744\) 8.65849 26.6481i 0.317436 0.976967i
\(745\) −3.36720 10.3632i −0.123365 0.379678i
\(746\) −9.82152 + 7.13575i −0.359591 + 0.261258i
\(747\) −24.9034 −0.911168
\(748\) 14.2008 + 1.82027i 0.519234 + 0.0665556i
\(749\) −18.6900 −0.682919
\(750\) −29.2158 + 21.2265i −1.06681 + 0.775083i
\(751\) 11.4589 + 35.2670i 0.418142 + 1.28691i 0.909410 + 0.415901i \(0.136534\pi\)
−0.491268 + 0.871009i \(0.663466\pi\)
\(752\) −2.78119 + 8.55962i −0.101420 + 0.312137i
\(753\) 30.8071 + 22.3827i 1.12267 + 0.815669i
\(754\) −21.6394 15.7219i −0.788059 0.572558i
\(755\) −4.76664 + 14.6702i −0.173476 + 0.533903i
\(756\) 6.98470 + 21.4967i 0.254031 + 0.781828i
\(757\) −1.61500 + 1.17337i −0.0586981 + 0.0426467i −0.616747 0.787161i \(-0.711550\pi\)
0.558049 + 0.829808i \(0.311550\pi\)
\(758\) 31.9986 1.16224
\(759\) 9.73620 20.5931i 0.353402 0.747480i
\(760\) 2.00989 0.0729062
\(761\) −12.1946 + 8.85993i −0.442056 + 0.321172i −0.786451 0.617652i \(-0.788084\pi\)
0.344396 + 0.938825i \(0.388084\pi\)
\(762\) −9.37031 28.8388i −0.339450 1.04472i
\(763\) −10.6819 + 32.8754i −0.386709 + 1.19017i
\(764\) 0.808753 + 0.587594i 0.0292597 + 0.0212584i
\(765\) −42.7274 31.0433i −1.54481 1.12237i
\(766\) −6.05368 + 18.6313i −0.218728 + 0.673177i
\(767\) −4.49389 13.8308i −0.162265 0.499400i
\(768\) −2.43879 + 1.77188i −0.0880021 + 0.0639373i
\(769\) −30.4602 −1.09842 −0.549212 0.835683i \(-0.685072\pi\)
−0.549212 + 0.835683i \(0.685072\pi\)
\(770\) −14.2015 + 7.77371i −0.511788 + 0.280145i
\(771\) 75.5125 2.71951
\(772\)