Properties

Label 354.2.e.b.121.2
Level 354
Weight 2
Character 354.121
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 121.2
Character \(\chi\) = 354.121
Dual form 354.2.e.b.79.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.907575 + 0.419889i) q^{2} +(0.947653 + 0.319302i) q^{3} +(0.647386 - 0.762162i) q^{4} +(1.82294 + 1.09682i) q^{5} +(-0.994138 + 0.108119i) q^{6} +(-0.192354 + 3.54777i) q^{7} +(-0.267528 + 0.963550i) q^{8} +(0.796093 + 0.605174i) q^{9} +O(q^{10})\) \(q+(-0.907575 + 0.419889i) q^{2} +(0.947653 + 0.319302i) q^{3} +(0.647386 - 0.762162i) q^{4} +(1.82294 + 1.09682i) q^{5} +(-0.994138 + 0.108119i) q^{6} +(-0.192354 + 3.54777i) q^{7} +(-0.267528 + 0.963550i) q^{8} +(0.796093 + 0.605174i) q^{9} +(-2.11500 - 0.230020i) q^{10} +(0.389551 - 2.37615i) q^{11} +(0.856857 - 0.515554i) q^{12} +(-3.04455 + 2.31441i) q^{13} +(-1.31509 - 3.30063i) q^{14} +(1.37729 + 1.62148i) q^{15} +(-0.161782 - 0.986827i) q^{16} +(-0.0145950 - 0.269188i) q^{17} +(-0.976621 - 0.214970i) q^{18} +(-1.55591 + 1.47384i) q^{19} +(2.01610 - 0.679304i) q^{20} +(-1.31509 + 3.30063i) q^{21} +(0.644175 + 2.32011i) q^{22} +(7.94654 - 1.74916i) q^{23} +(-0.561187 + 0.827689i) q^{24} +(-0.221970 - 0.418679i) q^{25} +(1.79137 - 3.37887i) q^{26} +(0.561187 + 0.827689i) q^{27} +(2.57945 + 2.44338i) q^{28} +(-1.95486 - 0.904416i) q^{29} +(-1.93084 - 0.893301i) q^{30} +(2.08407 + 1.97414i) q^{31} +(0.561187 + 0.827689i) q^{32} +(1.12787 - 2.12739i) q^{33} +(0.126275 + 0.238180i) q^{34} +(-4.24193 + 6.25638i) q^{35} +(0.976621 - 0.214970i) q^{36} +(0.314922 + 1.13425i) q^{37} +(0.793259 - 1.99093i) q^{38} +(-3.62417 + 1.22113i) q^{39} +(-1.54453 + 1.46306i) q^{40} +(-5.57339 - 1.22680i) q^{41} +(-0.192354 - 3.54777i) q^{42} +(1.77439 + 10.8233i) q^{43} +(-1.55882 - 1.83519i) q^{44} +(0.787457 + 1.97637i) q^{45} +(-6.47763 + 4.92416i) q^{46} +(7.10345 - 4.27401i) q^{47} +(0.161782 - 0.986827i) q^{48} +(-5.59069 - 0.608024i) q^{49} +(0.377253 + 0.286780i) q^{50} +(0.0721212 - 0.259757i) q^{51} +(-0.207047 + 3.81876i) q^{52} +(-0.282076 + 0.0306777i) q^{53} +(-0.856857 - 0.515554i) q^{54} +(3.31635 - 3.90431i) q^{55} +(-3.36699 - 1.13447i) q^{56} +(-1.94506 + 0.899882i) q^{57} +2.15394 q^{58} +(-2.66736 - 7.20314i) q^{59} +2.12747 q^{60} +(9.80821 - 4.53776i) q^{61} +(-2.72037 - 0.916600i) q^{62} +(-2.30015 + 2.70795i) q^{63} +(-0.856857 - 0.515554i) q^{64} +(-8.08852 + 0.879680i) q^{65} +(-0.130360 + 2.40434i) q^{66} +(2.21678 - 7.98413i) q^{67} +(-0.214613 - 0.163145i) q^{68} +(8.08907 + 0.879740i) q^{69} +(1.22289 - 7.45927i) q^{70} +(2.33240 - 1.40336i) q^{71} +(-0.796093 + 0.605174i) q^{72} +(-4.10476 - 10.3022i) q^{73} +(-0.762073 - 0.897182i) q^{74} +(-0.0766653 - 0.467638i) q^{75} +(0.116027 + 2.14000i) q^{76} +(8.35511 + 1.83910i) q^{77} +(2.77647 - 2.63002i) q^{78} +(-2.68765 + 0.905576i) q^{79} +(0.787457 - 1.97637i) q^{80} +(0.267528 + 0.963550i) q^{81} +(5.57339 - 1.22680i) q^{82} +(8.51914 - 12.5648i) q^{83} +(1.66425 + 3.13910i) q^{84} +(0.268646 - 0.506721i) q^{85} +(-6.15499 - 9.07792i) q^{86} +(-1.56375 - 1.48126i) q^{87} +(2.18533 + 1.01104i) q^{88} +(-7.84611 - 3.63000i) q^{89} +(-1.54453 - 1.46306i) q^{90} +(-7.62535 - 11.2466i) q^{91} +(3.81133 - 7.18893i) q^{92} +(1.34463 + 2.53625i) q^{93} +(-4.65231 + 6.86164i) q^{94} +(-4.45287 + 0.980151i) q^{95} +(0.267528 + 0.963550i) q^{96} +(1.37817 - 3.45896i) q^{97} +(5.32928 - 1.79564i) q^{98} +(1.74811 - 1.65589i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{25}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.907575 + 0.419889i −0.641753 + 0.296906i
\(3\) 0.947653 + 0.319302i 0.547128 + 0.184349i
\(4\) 0.647386 0.762162i 0.323693 0.381081i
\(5\) 1.82294 + 1.09682i 0.815242 + 0.490515i 0.861101 0.508433i \(-0.169775\pi\)
−0.0458596 + 0.998948i \(0.514603\pi\)
\(6\) −0.994138 + 0.108119i −0.405855 + 0.0441394i
\(7\) −0.192354 + 3.54777i −0.0727031 + 1.34093i 0.703612 + 0.710585i \(0.251570\pi\)
−0.776315 + 0.630345i \(0.782913\pi\)
\(8\) −0.267528 + 0.963550i −0.0945856 + 0.340666i
\(9\) 0.796093 + 0.605174i 0.265364 + 0.201725i
\(10\) −2.11500 0.230020i −0.668821 0.0727386i
\(11\) 0.389551 2.37615i 0.117454 0.716437i −0.860787 0.508965i \(-0.830028\pi\)
0.978241 0.207472i \(-0.0665236\pi\)
\(12\) 0.856857 0.515554i 0.247353 0.148828i
\(13\) −3.04455 + 2.31441i −0.844407 + 0.641901i −0.935259 0.353963i \(-0.884834\pi\)
0.0908525 + 0.995864i \(0.471041\pi\)
\(14\) −1.31509 3.30063i −0.351473 0.882132i
\(15\) 1.37729 + 1.62148i 0.355616 + 0.418663i
\(16\) −0.161782 0.986827i −0.0404455 0.246707i
\(17\) −0.0145950 0.269188i −0.00353980 0.0652877i 0.996230 0.0867538i \(-0.0276494\pi\)
−0.999770 + 0.0214661i \(0.993167\pi\)
\(18\) −0.976621 0.214970i −0.230192 0.0506690i
\(19\) −1.55591 + 1.47384i −0.356951 + 0.338122i −0.845070 0.534655i \(-0.820442\pi\)
0.488120 + 0.872777i \(0.337683\pi\)
\(20\) 2.01610 0.679304i 0.450814 0.151897i
\(21\) −1.31509 + 3.30063i −0.286977 + 0.720257i
\(22\) 0.644175 + 2.32011i 0.137338 + 0.494649i
\(23\) 7.94654 1.74916i 1.65697 0.364726i 0.714659 0.699473i \(-0.246582\pi\)
0.942308 + 0.334747i \(0.108651\pi\)
\(24\) −0.561187 + 0.827689i −0.114552 + 0.168951i
\(25\) −0.221970 0.418679i −0.0443939 0.0837358i
\(26\) 1.79137 3.37887i 0.351316 0.662652i
\(27\) 0.561187 + 0.827689i 0.108001 + 0.159289i
\(28\) 2.57945 + 2.44338i 0.487470 + 0.461756i
\(29\) −1.95486 0.904416i −0.363009 0.167946i 0.229902 0.973214i \(-0.426159\pi\)
−0.592911 + 0.805268i \(0.702021\pi\)
\(30\) −1.93084 0.893301i −0.352521 0.163094i
\(31\) 2.08407 + 1.97414i 0.374311 + 0.354566i 0.851611 0.524174i \(-0.175626\pi\)
−0.477300 + 0.878740i \(0.658385\pi\)
\(32\) 0.561187 + 0.827689i 0.0992048 + 0.146316i
\(33\) 1.12787 2.12739i 0.196337 0.370330i
\(34\) 0.126275 + 0.238180i 0.0216560 + 0.0408476i
\(35\) −4.24193 + 6.25638i −0.717017 + 1.05752i
\(36\) 0.976621 0.214970i 0.162770 0.0358284i
\(37\) 0.314922 + 1.13425i 0.0517728 + 0.186469i 0.984915 0.173039i \(-0.0553585\pi\)
−0.933142 + 0.359507i \(0.882945\pi\)
\(38\) 0.793259 1.99093i 0.128684 0.322971i
\(39\) −3.62417 + 1.22113i −0.580332 + 0.195537i
\(40\) −1.54453 + 1.46306i −0.244212 + 0.231330i
\(41\) −5.57339 1.22680i −0.870417 0.191593i −0.242763 0.970086i \(-0.578054\pi\)
−0.627654 + 0.778492i \(0.715985\pi\)
\(42\) −0.192354 3.54777i −0.0296809 0.547432i
\(43\) 1.77439 + 10.8233i 0.270592 + 1.65054i 0.676366 + 0.736566i \(0.263554\pi\)
−0.405773 + 0.913974i \(0.632998\pi\)
\(44\) −1.55882 1.83519i −0.235002 0.276665i
\(45\) 0.787457 + 1.97637i 0.117387 + 0.294620i
\(46\) −6.47763 + 4.92416i −0.955074 + 0.726028i
\(47\) 7.10345 4.27401i 1.03614 0.623428i 0.107426 0.994213i \(-0.465739\pi\)
0.928719 + 0.370785i \(0.120911\pi\)
\(48\) 0.161782 0.986827i 0.0233512 0.142436i
\(49\) −5.59069 0.608024i −0.798670 0.0868606i
\(50\) 0.377253 + 0.286780i 0.0533516 + 0.0405568i
\(51\) 0.0721212 0.259757i 0.0100990 0.0363733i
\(52\) −0.207047 + 3.81876i −0.0287123 + 0.529567i
\(53\) −0.282076 + 0.0306777i −0.0387462 + 0.00421390i −0.127472 0.991842i \(-0.540686\pi\)
0.0887254 + 0.996056i \(0.471721\pi\)
\(54\) −0.856857 0.515554i −0.116603 0.0701580i
\(55\) 3.31635 3.90431i 0.447177 0.526457i
\(56\) −3.36699 1.13447i −0.449933 0.151600i
\(57\) −1.94506 + 0.899882i −0.257630 + 0.119192i
\(58\) 2.15394 0.282826
\(59\) −2.66736 7.20314i −0.347261 0.937769i
\(60\) 2.12747 0.274655
\(61\) 9.80821 4.53776i 1.25581 0.581001i 0.324729 0.945807i \(-0.394727\pi\)
0.931083 + 0.364807i \(0.118865\pi\)
\(62\) −2.72037 0.916600i −0.345488 0.116408i
\(63\) −2.30015 + 2.70795i −0.289792 + 0.341169i
\(64\) −0.856857 0.515554i −0.107107 0.0644442i
\(65\) −8.08852 + 0.879680i −1.00326 + 0.109111i
\(66\) −0.130360 + 2.40434i −0.0160462 + 0.295954i
\(67\) 2.21678 7.98413i 0.270823 0.975416i −0.695594 0.718436i \(-0.744859\pi\)
0.966417 0.256981i \(-0.0827277\pi\)
\(68\) −0.214613 0.163145i −0.0260257 0.0197842i
\(69\) 8.08907 + 0.879740i 0.973810 + 0.105908i
\(70\) 1.22289 7.45927i 0.146163 0.891554i
\(71\) 2.33240 1.40336i 0.276805 0.166548i −0.370381 0.928880i \(-0.620773\pi\)
0.647187 + 0.762331i \(0.275945\pi\)
\(72\) −0.796093 + 0.605174i −0.0938205 + 0.0713205i
\(73\) −4.10476 10.3022i −0.480426 1.20578i −0.946982 0.321287i \(-0.895885\pi\)
0.466556 0.884492i \(-0.345495\pi\)
\(74\) −0.762073 0.897182i −0.0885892 0.104295i
\(75\) −0.0766653 0.467638i −0.00885255 0.0539981i
\(76\) 0.116027 + 2.14000i 0.0133093 + 0.245475i
\(77\) 8.35511 + 1.83910i 0.952153 + 0.209585i
\(78\) 2.77647 2.63002i 0.314374 0.297791i
\(79\) −2.68765 + 0.905576i −0.302385 + 0.101885i −0.466404 0.884572i \(-0.654451\pi\)
0.164019 + 0.986457i \(0.447554\pi\)
\(80\) 0.787457 1.97637i 0.0880404 0.220965i
\(81\) 0.267528 + 0.963550i 0.0297254 + 0.107061i
\(82\) 5.57339 1.22680i 0.615478 0.135477i
\(83\) 8.51914 12.5648i 0.935097 1.37916i 0.00978744 0.999952i \(-0.496885\pi\)
0.925310 0.379213i \(-0.123805\pi\)
\(84\) 1.66425 + 3.13910i 0.181584 + 0.342504i
\(85\) 0.268646 0.506721i 0.0291388 0.0549616i
\(86\) −6.15499 9.07792i −0.663709 0.978898i
\(87\) −1.56375 1.48126i −0.167652 0.158808i
\(88\) 2.18533 + 1.01104i 0.232957 + 0.107777i
\(89\) −7.84611 3.63000i −0.831686 0.384779i −0.0426231 0.999091i \(-0.513571\pi\)
−0.789063 + 0.614312i \(0.789434\pi\)
\(90\) −1.54453 1.46306i −0.162808 0.154220i
\(91\) −7.62535 11.2466i −0.799354 1.17896i
\(92\) 3.81133 7.18893i 0.397359 0.749498i
\(93\) 1.34463 + 2.53625i 0.139432 + 0.262997i
\(94\) −4.65231 + 6.86164i −0.479849 + 0.707725i
\(95\) −4.45287 + 0.980151i −0.456855 + 0.100561i
\(96\) 0.267528 + 0.963550i 0.0273045 + 0.0983419i
\(97\) 1.37817 3.45896i 0.139932 0.351204i −0.842263 0.539067i \(-0.818777\pi\)
0.982195 + 0.187863i \(0.0601562\pi\)
\(98\) 5.32928 1.79564i 0.538338 0.181387i
\(99\) 1.74811 1.65589i 0.175691 0.166424i
\(100\) −0.462801 0.101870i −0.0462801 0.0101870i
\(101\) 0.206072 + 3.80077i 0.0205049 + 0.378190i 0.990718 + 0.135936i \(0.0434041\pi\)
−0.970213 + 0.242255i \(0.922113\pi\)
\(102\) 0.0436137 + 0.266032i 0.00431840 + 0.0263411i
\(103\) −3.56263 4.19425i −0.351036 0.413272i 0.558098 0.829775i \(-0.311531\pi\)
−0.909134 + 0.416503i \(0.863255\pi\)
\(104\) −1.41554 3.55275i −0.138806 0.348376i
\(105\) −6.01755 + 4.57442i −0.587252 + 0.446418i
\(106\) 0.243124 0.146283i 0.0236143 0.0142083i
\(107\) −2.62690 + 16.0234i −0.253952 + 1.54904i 0.484534 + 0.874772i \(0.338989\pi\)
−0.738486 + 0.674268i \(0.764459\pi\)
\(108\) 0.994138 + 0.108119i 0.0956610 + 0.0104038i
\(109\) −15.6005 11.8592i −1.49426 1.13590i −0.956093 0.293063i \(-0.905325\pi\)
−0.538163 0.842841i \(-0.680881\pi\)
\(110\) −1.37046 + 4.93595i −0.130668 + 0.470625i
\(111\) −0.0637298 + 1.17543i −0.00604897 + 0.111567i
\(112\) 3.53215 0.384145i 0.333757 0.0362983i
\(113\) 0.959327 + 0.577208i 0.0902459 + 0.0542992i 0.559961 0.828519i \(-0.310816\pi\)
−0.469716 + 0.882818i \(0.655644\pi\)
\(114\) 1.38744 1.63342i 0.129946 0.152984i
\(115\) 16.4046 + 5.52734i 1.52973 + 0.515427i
\(116\) −1.95486 + 0.904416i −0.181505 + 0.0839729i
\(117\) −3.82437 −0.353563
\(118\) 5.44535 + 5.41739i 0.501285 + 0.498712i
\(119\) 0.957824 0.0878036
\(120\) −1.93084 + 0.893301i −0.176261 + 0.0815468i
\(121\) 4.92983 + 1.66105i 0.448166 + 0.151005i
\(122\) −6.99633 + 8.23672i −0.633418 + 0.745717i
\(123\) −4.88992 2.94217i −0.440909 0.265286i
\(124\) 2.85381 0.310371i 0.256280 0.0278721i
\(125\) 0.630475 11.6284i 0.0563914 1.04008i
\(126\) 0.950522 3.42347i 0.0846793 0.304987i
\(127\) −1.81299 1.37820i −0.160877 0.122296i 0.521638 0.853167i \(-0.325321\pi\)
−0.682516 + 0.730871i \(0.739114\pi\)
\(128\) 0.994138 + 0.108119i 0.0878702 + 0.00955646i
\(129\) −1.77439 + 10.8233i −0.156227 + 0.952940i
\(130\) 6.97158 4.19466i 0.611448 0.367896i
\(131\) 8.58644 6.52724i 0.750201 0.570288i −0.158687 0.987329i \(-0.550726\pi\)
0.908888 + 0.417041i \(0.136933\pi\)
\(132\) −0.891246 2.23686i −0.0775730 0.194694i
\(133\) −4.92955 5.80351i −0.427446 0.503229i
\(134\) 1.34055 + 8.17700i 0.115806 + 0.706385i
\(135\) 0.115179 + 2.12435i 0.00991301 + 0.182835i
\(136\) 0.263281 + 0.0579525i 0.0225761 + 0.00496938i
\(137\) −6.19468 + 5.86792i −0.529248 + 0.501330i −0.905012 0.425385i \(-0.860139\pi\)
0.375765 + 0.926715i \(0.377380\pi\)
\(138\) −7.71084 + 2.59808i −0.656390 + 0.221164i
\(139\) −1.21497 + 3.04934i −0.103052 + 0.258642i −0.971458 0.237213i \(-0.923766\pi\)
0.868405 + 0.495855i \(0.165145\pi\)
\(140\) 2.02221 + 7.28333i 0.170908 + 0.615554i
\(141\) 8.09630 1.78213i 0.681832 0.150083i
\(142\) −1.52758 + 2.25301i −0.128191 + 0.189068i
\(143\) 4.31338 + 8.13591i 0.360703 + 0.680359i
\(144\) 0.468408 0.883512i 0.0390340 0.0736260i
\(145\) −2.57161 3.79283i −0.213560 0.314978i
\(146\) 8.05115 + 7.62646i 0.666318 + 0.631170i
\(147\) −5.10389 2.36131i −0.420962 0.194758i
\(148\) 1.06836 + 0.494274i 0.0878183 + 0.0406291i
\(149\) 3.61555 + 3.42483i 0.296197 + 0.280573i 0.821337 0.570443i \(-0.193228\pi\)
−0.525140 + 0.851016i \(0.675987\pi\)
\(150\) 0.265936 + 0.392226i 0.0217135 + 0.0320251i
\(151\) 10.2176 19.2724i 0.831495 1.56837i 0.00874516 0.999962i \(-0.497216\pi\)
0.822750 0.568404i \(-0.192439\pi\)
\(152\) −1.00387 1.89349i −0.0814243 0.153583i
\(153\) 0.151287 0.223131i 0.0122308 0.0180391i
\(154\) −8.35511 + 1.83910i −0.673274 + 0.148199i
\(155\) 1.63385 + 5.88459i 0.131234 + 0.472662i
\(156\) −1.41554 + 3.55275i −0.113334 + 0.284448i
\(157\) −22.2886 + 7.50990i −1.77882 + 0.599355i −0.999624 0.0274206i \(-0.991271\pi\)
−0.779200 + 0.626776i \(0.784374\pi\)
\(158\) 2.05901 1.95039i 0.163806 0.155165i
\(159\) −0.277106 0.0609957i −0.0219759 0.00483727i
\(160\) 0.115179 + 2.12435i 0.00910568 + 0.167944i
\(161\) 4.67708 + 28.5289i 0.368606 + 2.24839i
\(162\) −0.647386 0.762162i −0.0508635 0.0598811i
\(163\) 3.22339 + 8.09010i 0.252475 + 0.633665i 0.999516 0.0311132i \(-0.00990522\pi\)
−0.747041 + 0.664779i \(0.768526\pi\)
\(164\) −4.54315 + 3.45361i −0.354761 + 0.269682i
\(165\) 4.38940 2.64102i 0.341714 0.205603i
\(166\) −2.45594 + 14.9806i −0.190618 + 1.16272i
\(167\) −4.33615 0.471585i −0.335542 0.0364923i −0.0612025 0.998125i \(-0.519494\pi\)
−0.274339 + 0.961633i \(0.588459\pi\)
\(168\) −2.82850 2.15017i −0.218224 0.165889i
\(169\) 0.434944 1.56653i 0.0334572 0.120502i
\(170\) −0.0310503 + 0.572689i −0.00238145 + 0.0439232i
\(171\) −2.13058 + 0.231715i −0.162930 + 0.0177197i
\(172\) 9.39784 + 5.65449i 0.716578 + 0.431151i
\(173\) 12.8060 15.0764i 0.973622 1.14624i −0.0156095 0.999878i \(-0.504969\pi\)
0.989232 0.146358i \(-0.0467553\pi\)
\(174\) 2.04119 + 0.687757i 0.154742 + 0.0521387i
\(175\) 1.52807 0.706962i 0.115511 0.0534413i
\(176\) −2.40787 −0.181500
\(177\) −0.227760 7.67777i −0.0171195 0.577096i
\(178\) 8.64513 0.647980
\(179\) −18.2963 + 8.46478i −1.36753 + 0.632687i −0.959870 0.280446i \(-0.909518\pi\)
−0.407661 + 0.913133i \(0.633656\pi\)
\(180\) 2.01610 + 0.679304i 0.150271 + 0.0506323i
\(181\) −4.94300 + 5.81934i −0.367410 + 0.432548i −0.914538 0.404501i \(-0.867445\pi\)
0.547128 + 0.837049i \(0.315721\pi\)
\(182\) 11.6429 + 7.00529i 0.863028 + 0.519267i
\(183\) 10.7437 1.16845i 0.794196 0.0863741i
\(184\) −0.440516 + 8.12484i −0.0324753 + 0.598971i
\(185\) −0.669986 + 2.41307i −0.0492584 + 0.177413i
\(186\) −2.28530 1.73724i −0.167566 0.127381i
\(187\) −0.645318 0.0701825i −0.0471903 0.00513226i
\(188\) 1.34119 8.18091i 0.0978165 0.596654i
\(189\) −3.04440 + 1.83175i −0.221447 + 0.133240i
\(190\) 3.62976 2.75927i 0.263331 0.200179i
\(191\) −0.417938 1.04895i −0.0302410 0.0758991i 0.913081 0.407779i \(-0.133697\pi\)
−0.943322 + 0.331880i \(0.892317\pi\)
\(192\) −0.647386 0.762162i −0.0467211 0.0550043i
\(193\) 0.0755638 + 0.460919i 0.00543920 + 0.0331777i 0.989407 0.145170i \(-0.0463730\pi\)
−0.983967 + 0.178348i \(0.942925\pi\)
\(194\) 0.201581 + 3.71794i 0.0144727 + 0.266933i
\(195\) −7.94600 1.74905i −0.569025 0.125252i
\(196\) −4.08275 + 3.86739i −0.291625 + 0.276242i
\(197\) −16.5781 + 5.58583i −1.18114 + 0.397974i −0.840287 0.542142i \(-0.817614\pi\)
−0.340857 + 0.940115i \(0.610717\pi\)
\(198\) −0.891246 + 2.23686i −0.0633381 + 0.158967i
\(199\) 7.13070 + 25.6824i 0.505482 + 1.82058i 0.568653 + 0.822578i \(0.307465\pi\)
−0.0631713 + 0.998003i \(0.520121\pi\)
\(200\) 0.462801 0.101870i 0.0327250 0.00720332i
\(201\) 4.65008 6.85836i 0.327992 0.483752i
\(202\) −1.78293 3.36296i −0.125446 0.236617i
\(203\) 3.58469 6.76143i 0.251596 0.474560i
\(204\) −0.151287 0.223131i −0.0105922 0.0156223i
\(205\) −8.81435 8.34940i −0.615621 0.583147i
\(206\) 4.99447 + 2.31069i 0.347981 + 0.160993i
\(207\) 7.38473 + 3.41654i 0.513274 + 0.237466i
\(208\) 2.77647 + 2.63002i 0.192514 + 0.182359i
\(209\) 2.89596 + 4.27122i 0.200318 + 0.295447i
\(210\) 3.54063 6.67833i 0.244327 0.460849i
\(211\) 10.6701 + 20.1259i 0.734557 + 1.38552i 0.915618 + 0.402049i \(0.131702\pi\)
−0.181061 + 0.983472i \(0.557953\pi\)
\(212\) −0.159231 + 0.234848i −0.0109360 + 0.0161294i
\(213\) 2.65841 0.585159i 0.182151 0.0400945i
\(214\) −4.34394 15.6455i −0.296946 1.06950i
\(215\) −8.63667 + 21.6764i −0.589016 + 1.47832i
\(216\) −0.947653 + 0.319302i −0.0644796 + 0.0217257i
\(217\) −7.40467 + 7.01407i −0.502662 + 0.476146i
\(218\) 19.1382 + 4.21263i 1.29620 + 0.285315i
\(219\) −0.600390 11.0735i −0.0405706 0.748281i
\(220\) −0.828757 5.05519i −0.0558748 0.340821i
\(221\) 0.667446 + 0.785778i 0.0448973 + 0.0528572i
\(222\) −0.435709 1.09355i −0.0292429 0.0733942i
\(223\) 20.4937 15.5789i 1.37236 1.04324i 0.379343 0.925256i \(-0.376150\pi\)
0.993016 0.117984i \(-0.0376431\pi\)
\(224\) −3.04440 + 1.83175i −0.203412 + 0.122389i
\(225\) 0.0766653 0.467638i 0.00511102 0.0311758i
\(226\) −1.11303 0.121049i −0.0740373 0.00805205i
\(227\) 22.8444 + 17.3659i 1.51624 + 1.15261i 0.942798 + 0.333365i \(0.108184\pi\)
0.573439 + 0.819248i \(0.305609\pi\)
\(228\) −0.573351 + 2.06503i −0.0379711 + 0.136760i
\(229\) −0.899704 + 16.5941i −0.0594541 + 1.09657i 0.804811 + 0.593531i \(0.202267\pi\)
−0.864265 + 0.503036i \(0.832216\pi\)
\(230\) −17.2092 + 1.87162i −1.13474 + 0.123411i
\(231\) 7.33052 + 4.41063i 0.482313 + 0.290198i
\(232\) 1.39443 1.64165i 0.0915489 0.107780i
\(233\) −15.6976 5.28914i −1.02838 0.346503i −0.245980 0.969275i \(-0.579110\pi\)
−0.782403 + 0.622772i \(0.786006\pi\)
\(234\) 3.47090 1.60581i 0.226900 0.104975i
\(235\) 17.6370 1.15051
\(236\) −7.21677 2.63025i −0.469772 0.171215i
\(237\) −2.83611 −0.184225
\(238\) −0.869298 + 0.402180i −0.0563482 + 0.0260695i
\(239\) −11.1434 3.75465i −0.720808 0.242868i −0.0650953 0.997879i \(-0.520735\pi\)
−0.655713 + 0.755011i \(0.727632\pi\)
\(240\) 1.37729 1.62148i 0.0889039 0.104666i
\(241\) −13.9058 8.36683i −0.895750 0.538955i −0.00835511 0.999965i \(-0.502660\pi\)
−0.887395 + 0.461010i \(0.847487\pi\)
\(242\) −5.17165 + 0.562450i −0.332446 + 0.0361557i
\(243\) −0.0541389 + 0.998533i −0.00347301 + 0.0640559i
\(244\) 2.89119 10.4131i 0.185089 0.666632i
\(245\) −9.52458 7.24040i −0.608503 0.462572i
\(246\) 5.67336 + 0.617015i 0.361720 + 0.0393394i
\(247\) 1.32599 8.08819i 0.0843709 0.514639i
\(248\) −2.45973 + 1.47997i −0.156193 + 0.0939782i
\(249\) 12.0851 9.18689i 0.765865 0.582195i
\(250\) 4.31045 + 10.8184i 0.272617 + 0.684216i
\(251\) −11.1824 13.1650i −0.705828 0.830965i 0.286043 0.958217i \(-0.407660\pi\)
−0.991870 + 0.127252i \(0.959384\pi\)
\(252\) 0.574808 + 3.50617i 0.0362095 + 0.220868i
\(253\) −1.06071 19.5636i −0.0666861 1.22995i
\(254\) 2.22412 + 0.489566i 0.139554 + 0.0307181i
\(255\) 0.416380 0.394416i 0.0260747 0.0246993i
\(256\) −0.947653 + 0.319302i −0.0592283 + 0.0199563i
\(257\) −1.48995 + 3.73948i −0.0929402 + 0.233262i −0.968096 0.250578i \(-0.919379\pi\)
0.875156 + 0.483841i \(0.160759\pi\)
\(258\) −2.93420 10.5680i −0.182675 0.657936i
\(259\) −4.08462 + 0.899093i −0.253806 + 0.0558669i
\(260\) −4.56594 + 6.73426i −0.283168 + 0.417641i
\(261\) −1.00892 1.90303i −0.0624508 0.117795i
\(262\) −5.05212 + 9.52932i −0.312121 + 0.588723i
\(263\) −4.19956 6.19389i −0.258956 0.381931i 0.675880 0.737012i \(-0.263764\pi\)
−0.934836 + 0.355080i \(0.884453\pi\)
\(264\) 1.74811 + 1.65589i 0.107588 + 0.101913i
\(265\) −0.547855 0.253465i −0.0336545 0.0155702i
\(266\) 6.91077 + 3.19726i 0.423727 + 0.196037i
\(267\) −6.27633 5.94525i −0.384105 0.363844i
\(268\) −4.65008 6.85836i −0.284049 0.418941i
\(269\) 7.40785 13.9727i 0.451665 0.851930i −0.548214 0.836338i \(-0.684692\pi\)
0.999878 0.0155918i \(-0.00496324\pi\)
\(270\) −0.996524 1.87964i −0.0606465 0.114391i
\(271\) 7.86161 11.5950i 0.477559 0.704346i −0.510249 0.860027i \(-0.670447\pi\)
0.987807 + 0.155680i \(0.0497570\pi\)
\(272\) −0.263281 + 0.0579525i −0.0159637 + 0.00351388i
\(273\) −3.63515 13.0926i −0.220009 0.792401i
\(274\) 3.15827 7.92666i 0.190798 0.478867i
\(275\) −1.08131 + 0.364337i −0.0652057 + 0.0219704i
\(276\) 5.90726 5.59565i 0.355575 0.336819i
\(277\) 1.12364 + 0.247332i 0.0675131 + 0.0148607i 0.248599 0.968607i \(-0.420030\pi\)
−0.181085 + 0.983467i \(0.557961\pi\)
\(278\) −0.177710 3.27766i −0.0106583 0.196581i
\(279\) 0.464418 + 2.83283i 0.0278040 + 0.169597i
\(280\) −4.89349 5.76107i −0.292442 0.344290i
\(281\) −4.95293 12.4309i −0.295467 0.741566i −0.999507 0.0314053i \(-0.990002\pi\)
0.704040 0.710160i \(-0.251378\pi\)
\(282\) −6.59971 + 5.01697i −0.393007 + 0.298756i
\(283\) −8.17089 + 4.91626i −0.485709 + 0.292242i −0.737268 0.675601i \(-0.763884\pi\)
0.251559 + 0.967842i \(0.419057\pi\)
\(284\) 0.440378 2.68619i 0.0261316 0.159396i
\(285\) −4.53274 0.492965i −0.268496 0.0292007i
\(286\) −7.33090 5.57281i −0.433485 0.329527i
\(287\) 5.42445 19.5371i 0.320195 1.15324i
\(288\) −0.0541389 + 0.998533i −0.00319017 + 0.0588391i
\(289\) 16.8281 1.83017i 0.989888 0.107657i
\(290\) 3.92650 + 2.36249i 0.230572 + 0.138730i
\(291\) 2.41048 2.83784i 0.141305 0.166357i
\(292\) −10.5093 3.54099i −0.615010 0.207221i
\(293\) 5.02973 2.32700i 0.293840 0.135945i −0.267431 0.963577i \(-0.586175\pi\)
0.561271 + 0.827632i \(0.310313\pi\)
\(294\) 5.62366 0.327978
\(295\) 3.03815 16.0565i 0.176888 0.934845i
\(296\) −1.17715 −0.0684207
\(297\) 2.18533 1.01104i 0.126806 0.0586665i
\(298\) −4.71943 1.59016i −0.273389 0.0921156i
\(299\) −20.1454 + 23.7170i −1.16504 + 1.37159i
\(300\) −0.406048 0.244311i −0.0234432 0.0141053i
\(301\) −38.7399 + 4.21322i −2.23293 + 0.242846i
\(302\) −1.18095 + 21.7814i −0.0679562 + 1.25338i
\(303\) −1.01831 + 3.66761i −0.0585002 + 0.210699i
\(304\) 1.70614 + 1.29697i 0.0978539 + 0.0743866i
\(305\) 22.8569 + 2.48583i 1.30878 + 0.142338i
\(306\) −0.0436137 + 0.266032i −0.00249323 + 0.0152080i
\(307\) 15.0183 9.03621i 0.857140 0.515724i −0.0178639 0.999840i \(-0.505687\pi\)
0.875003 + 0.484117i \(0.160859\pi\)
\(308\) 6.81068 5.17734i 0.388074 0.295006i
\(309\) −2.03690 5.11225i −0.115875 0.290826i
\(310\) −3.95372 4.65468i −0.224556 0.264368i
\(311\) −0.245523 1.49762i −0.0139223 0.0849223i 0.978951 0.204093i \(-0.0654246\pi\)
−0.992874 + 0.119171i \(0.961976\pi\)
\(312\) −0.207047 3.81876i −0.0117217 0.216195i
\(313\) 11.8308 + 2.60417i 0.668719 + 0.147196i 0.536339 0.844003i \(-0.319807\pi\)
0.132380 + 0.991199i \(0.457738\pi\)
\(314\) 17.0753 16.1745i 0.963612 0.912782i
\(315\) −7.16317 + 2.41355i −0.403599 + 0.135988i
\(316\) −1.04975 + 2.63468i −0.0590533 + 0.148213i
\(317\) 6.75037 + 24.3127i 0.379139 + 1.36553i 0.869465 + 0.493995i \(0.164464\pi\)
−0.490326 + 0.871539i \(0.663122\pi\)
\(318\) 0.277106 0.0609957i 0.0155393 0.00342047i
\(319\) −2.91055 + 4.29274i −0.162960 + 0.240347i
\(320\) −0.996524 1.87964i −0.0557074 0.105075i
\(321\) −7.60569 + 14.3459i −0.424508 + 0.800707i
\(322\) −16.2238 23.9283i −0.904116 1.33347i
\(323\) 0.419448 + 0.397322i 0.0233387 + 0.0221076i
\(324\) 0.907575 + 0.419889i 0.0504209 + 0.0233272i
\(325\) 1.64479 + 0.760962i 0.0912367 + 0.0422106i
\(326\) −6.32241 5.98891i −0.350166 0.331695i
\(327\) −10.9972 16.2197i −0.608146 0.896949i
\(328\) 2.67312 5.04204i 0.147598 0.278400i
\(329\) 13.7968 + 26.0235i 0.760642 + 1.43472i
\(330\) −2.87478 + 4.23998i −0.158251 + 0.233403i
\(331\) −22.7679 + 5.01160i −1.25144 + 0.275463i −0.790772 0.612111i \(-0.790321\pi\)
−0.460667 + 0.887573i \(0.652390\pi\)
\(332\) −4.06123 14.6272i −0.222889 0.802774i
\(333\) −0.435709 + 1.09355i −0.0238767 + 0.0599261i
\(334\) 4.13340 1.39270i 0.226170 0.0762054i
\(335\) 12.7982 12.1231i 0.699242 0.662358i
\(336\) 3.46991 + 0.763785i 0.189299 + 0.0416679i
\(337\) 0.311779 + 5.75042i 0.0169837 + 0.313245i 0.994665 + 0.103154i \(0.0328934\pi\)
−0.977682 + 0.210091i \(0.932624\pi\)
\(338\) 0.263023 + 1.60437i 0.0143066 + 0.0872662i
\(339\) 0.724806 + 0.853308i 0.0393661 + 0.0463453i
\(340\) −0.212285 0.532796i −0.0115128 0.0288949i
\(341\) 5.50271 4.18305i 0.297989 0.226525i
\(342\) 1.83637 1.10491i 0.0992994 0.0597465i
\(343\) −0.791133 + 4.82570i −0.0427171 + 0.260563i
\(344\) −10.9035 1.18583i −0.587877 0.0639355i
\(345\) 13.7809 + 10.4760i 0.741941 + 0.564009i
\(346\) −5.29200 + 19.0601i −0.284500 + 1.02468i
\(347\) 0.154297 2.84585i 0.00828312 0.152773i −0.991466 0.130367i \(-0.958385\pi\)
0.999749 0.0224063i \(-0.00713274\pi\)
\(348\) −2.14131 + 0.232882i −0.114786 + 0.0124838i
\(349\) 5.54508 + 3.33636i 0.296821 + 0.178591i 0.656172 0.754611i \(-0.272174\pi\)
−0.359351 + 0.933202i \(0.617002\pi\)
\(350\) −1.09000 + 1.28324i −0.0582627 + 0.0685922i
\(351\) −3.62417 1.22113i −0.193444 0.0651789i
\(352\) 2.18533 1.01104i 0.116478 0.0538886i
\(353\) 7.57191 0.403012 0.201506 0.979487i \(-0.435416\pi\)
0.201506 + 0.979487i \(0.435416\pi\)
\(354\) 3.43052 + 6.87252i 0.182330 + 0.365270i
\(355\) 5.79107 0.307358
\(356\) −7.84611 + 3.63000i −0.415843 + 0.192389i
\(357\) 0.907685 + 0.305835i 0.0480398 + 0.0161865i
\(358\) 13.0510 15.3648i 0.689768 0.812057i
\(359\) 15.4648 + 9.30489i 0.816203 + 0.491093i 0.861426 0.507884i \(-0.169572\pi\)
−0.0452225 + 0.998977i \(0.514400\pi\)
\(360\) −2.11500 + 0.230020i −0.111470 + 0.0121231i
\(361\) −0.779976 + 14.3858i −0.0410514 + 0.757148i
\(362\) 2.04266 7.35700i 0.107360 0.386676i
\(363\) 4.14139 + 3.14820i 0.217367 + 0.165238i
\(364\) −13.5082 1.46911i −0.708024 0.0770023i
\(365\) 3.81696 23.2824i 0.199789 1.21866i
\(366\) −9.26009 + 5.57161i −0.484033 + 0.291233i
\(367\) 10.9061 8.29058i 0.569292 0.432765i −0.280521 0.959848i \(-0.590507\pi\)
0.849814 + 0.527083i \(0.176714\pi\)
\(368\) −3.01173 7.55887i −0.156997 0.394033i
\(369\) −3.69451 4.34951i −0.192329 0.226427i
\(370\) −0.405160 2.47137i −0.0210633 0.128480i
\(371\) −0.0545786 1.00664i −0.00283358 0.0522623i
\(372\) 2.80353 + 0.617103i 0.145356 + 0.0319953i
\(373\) 0.200667 0.190082i 0.0103901 0.00984207i −0.682487 0.730898i \(-0.739102\pi\)
0.692877 + 0.721056i \(0.256343\pi\)
\(374\) 0.615143 0.207266i 0.0318083 0.0107175i
\(375\) 4.31045 10.8184i 0.222590 0.558660i
\(376\) 2.21784 + 7.98795i 0.114377 + 0.411947i
\(377\) 8.04487 1.77081i 0.414332 0.0912014i
\(378\) 1.99389 2.94076i 0.102554 0.151256i
\(379\) −12.1310 22.8815i −0.623127 1.17534i −0.971288 0.237908i \(-0.923538\pi\)
0.348160 0.937435i \(-0.386807\pi\)
\(380\) −2.13569 + 4.02834i −0.109559 + 0.206650i
\(381\) −1.27803 1.88495i −0.0654753 0.0965688i
\(382\) 0.819752 + 0.776510i 0.0419421 + 0.0397297i
\(383\) 12.9293 + 5.98173i 0.660657 + 0.305652i 0.721418 0.692500i \(-0.243491\pi\)
−0.0607613 + 0.998152i \(0.519353\pi\)
\(384\) 0.907575 + 0.419889i 0.0463145 + 0.0214274i
\(385\) 13.2137 + 12.5167i 0.673431 + 0.637908i
\(386\) −0.262115 0.386590i −0.0133413 0.0196769i
\(387\) −5.13741 + 9.69018i −0.261149 + 0.492580i
\(388\) −1.74407 3.28967i −0.0885420 0.167008i
\(389\) −3.59174 + 5.29741i −0.182108 + 0.268590i −0.907776 0.419456i \(-0.862221\pi\)
0.725667 + 0.688046i \(0.241531\pi\)
\(390\) 7.94600 1.74905i 0.402361 0.0885664i
\(391\) −0.586834 2.11358i −0.0296774 0.106889i
\(392\) 2.08153 5.22425i 0.105133 0.263864i
\(393\) 10.2211 3.44390i 0.515588 0.173722i
\(394\) 12.7005 12.0305i 0.639841 0.606090i
\(395\) −5.89268 1.29708i −0.296493 0.0652630i
\(396\) −0.130360 2.40434i −0.00655082 0.120823i
\(397\) 5.71932 + 34.8863i 0.287044 + 1.75089i 0.598956 + 0.800782i \(0.295582\pi\)
−0.311912 + 0.950111i \(0.600969\pi\)
\(398\) −17.2554 20.3147i −0.864936 1.01828i
\(399\) −2.81843 7.07373i −0.141098 0.354130i
\(400\) −0.377253 + 0.286780i −0.0188626 + 0.0143390i
\(401\) −20.1812 + 12.1426i −1.00780 + 0.606374i −0.920882 0.389841i \(-0.872530\pi\)
−0.0869194 + 0.996215i \(0.527702\pi\)
\(402\) −1.34055 + 8.17700i −0.0668606 + 0.407832i
\(403\) −10.9140 1.18697i −0.543667 0.0591273i
\(404\) 3.03021 + 2.30350i 0.150759 + 0.114604i
\(405\) −0.569158 + 2.04992i −0.0282817 + 0.101861i
\(406\) −0.414320 + 7.64168i −0.0205624 + 0.379250i
\(407\) 2.81782 0.306457i 0.139674 0.0151905i
\(408\) 0.230994 + 0.138985i 0.0114359 + 0.00688077i
\(409\) −8.18139 + 9.63188i −0.404544 + 0.476266i −0.926277 0.376843i \(-0.877010\pi\)
0.521734 + 0.853109i \(0.325286\pi\)
\(410\) 11.5055 + 3.87666i 0.568217 + 0.191454i
\(411\) −7.74405 + 3.58278i −0.381986 + 0.176725i
\(412\) −5.50309 −0.271118
\(413\) 26.0681 8.07762i 1.28273 0.397474i
\(414\) −8.13677 −0.399900
\(415\) 29.3112 13.5608i 1.43883 0.665674i
\(416\) −3.62417 1.22113i −0.177690 0.0598706i
\(417\) −2.12503 + 2.50178i −0.104063 + 0.122513i
\(418\) −4.42174 2.66047i −0.216274 0.130128i
\(419\) −27.4539 + 2.98579i −1.34121 + 0.145865i −0.750421 0.660960i \(-0.770149\pi\)
−0.590790 + 0.806826i \(0.701184\pi\)
\(420\) −0.409228 + 7.54776i −0.0199683 + 0.368293i
\(421\) −5.36325 + 19.3167i −0.261389 + 0.941437i 0.710051 + 0.704150i \(0.248672\pi\)
−0.971440 + 0.237287i \(0.923742\pi\)
\(422\) −18.1345 13.7855i −0.882774 0.671067i
\(423\) 8.24153 + 0.896320i 0.400717 + 0.0435806i
\(424\) 0.0459040 0.280002i 0.00222929 0.0135981i
\(425\) −0.109464 + 0.0658621i −0.00530977 + 0.00319478i
\(426\) −2.16700 + 1.64731i −0.104992 + 0.0798125i
\(427\) 14.2123 + 35.6701i 0.687780 + 1.72620i
\(428\) 10.5118 + 12.3755i 0.508107 + 0.598190i
\(429\) 1.48979 + 9.08729i 0.0719275 + 0.438738i
\(430\) −1.26326 23.2994i −0.0609197 1.12360i
\(431\) −33.6048 7.39698i −1.61869 0.356300i −0.689032 0.724730i \(-0.741964\pi\)
−0.929655 + 0.368430i \(0.879895\pi\)
\(432\) 0.725995 0.687699i 0.0349295 0.0330870i
\(433\) 8.38771 2.82615i 0.403087 0.135816i −0.110453 0.993881i \(-0.535230\pi\)
0.513540 + 0.858065i \(0.328334\pi\)
\(434\) 3.77516 9.47494i 0.181214 0.454812i
\(435\) −1.22593 4.41541i −0.0587790 0.211703i
\(436\) −19.1382 + 4.21263i −0.916552 + 0.201748i
\(437\) −9.78613 + 14.4335i −0.468134 + 0.690446i
\(438\) 5.19456 + 9.79798i 0.248206 + 0.468166i
\(439\) −17.7994 + 33.5732i −0.849519 + 1.60236i −0.0523317 + 0.998630i \(0.516665\pi\)
−0.797187 + 0.603733i \(0.793680\pi\)
\(440\) 2.87478 + 4.23998i 0.137050 + 0.202133i
\(441\) −4.08275 3.86739i −0.194417 0.184161i
\(442\) −0.935698 0.432900i −0.0445066 0.0205909i
\(443\) 2.60507 + 1.20523i 0.123770 + 0.0572623i 0.480797 0.876832i \(-0.340347\pi\)
−0.357027 + 0.934094i \(0.616209\pi\)
\(444\) 0.854608 + 0.809528i 0.0405579 + 0.0384185i
\(445\) −10.3215 15.2231i −0.489286 0.721642i
\(446\) −12.0582 + 22.7441i −0.570970 + 1.07696i
\(447\) 2.33273 + 4.40000i 0.110334 + 0.208113i
\(448\) 1.99389 2.94076i 0.0942022 0.138938i
\(449\) −9.15314 + 2.01476i −0.431963 + 0.0950823i −0.425629 0.904898i \(-0.639947\pi\)
−0.00633396 + 0.999980i \(0.502016\pi\)
\(450\) 0.126776 + 0.456607i 0.00597630 + 0.0215247i
\(451\) −5.08617 + 12.7653i −0.239499 + 0.601096i
\(452\) 1.06098 0.357486i 0.0499044 0.0168147i
\(453\) 15.8364 15.0011i 0.744060 0.704811i
\(454\) −28.0248 6.16872i −1.31527 0.289512i
\(455\) −1.56504 28.8654i −0.0733701 1.35323i
\(456\) −0.346722 2.11491i −0.0162367 0.0990397i
\(457\) −24.6391 29.0074i −1.15257 1.35691i −0.923547 0.383486i \(-0.874723\pi\)
−0.229021 0.973421i \(-0.573553\pi\)
\(458\) −6.15112 15.4381i −0.287423 0.721377i
\(459\) 0.214613 0.163145i 0.0100173 0.00761495i
\(460\) 14.8328 8.92461i 0.691583 0.416112i
\(461\) 5.81085 35.4446i 0.270638 1.65082i −0.405537 0.914079i \(-0.632915\pi\)
0.676175 0.736741i \(-0.263636\pi\)
\(462\) −8.50498 0.924972i −0.395687 0.0430336i
\(463\) 5.96012 + 4.53077i 0.276990 + 0.210563i 0.734441 0.678672i \(-0.237444\pi\)
−0.457451 + 0.889235i \(0.651237\pi\)
\(464\) −0.576240 + 2.07543i −0.0267513 + 0.0963494i
\(465\) −0.330637 + 6.09824i −0.0153329 + 0.282799i
\(466\) 16.4676 1.79096i 0.762847 0.0829646i
\(467\) −29.2092 17.5746i −1.35164 0.813256i −0.358884 0.933382i \(-0.616843\pi\)
−0.992759 + 0.120126i \(0.961670\pi\)
\(468\) −2.47584 + 2.91479i −0.114446 + 0.134736i
\(469\) 27.8994 + 9.40041i 1.28828 + 0.434071i
\(470\) −16.0069 + 7.40557i −0.738342 + 0.341594i
\(471\) −23.5198 −1.08373
\(472\) 7.65418 0.643092i 0.352312 0.0296007i
\(473\) 26.4091 1.21429
\(474\) 2.57399 1.19085i 0.118227 0.0546977i
\(475\) 0.962430 + 0.324280i 0.0441593 + 0.0148790i
\(476\) 0.620082 0.730017i 0.0284214 0.0334603i
\(477\) −0.243124 0.146283i −0.0111319 0.00669784i
\(478\) 11.6900 1.27137i 0.534690 0.0581510i
\(479\) 1.19123 21.9709i 0.0544287 1.00388i −0.835993 0.548741i \(-0.815107\pi\)
0.890421 0.455137i \(-0.150410\pi\)
\(480\) −0.569158 + 2.04992i −0.0259784 + 0.0935657i
\(481\) −3.58391 2.72441i −0.163412 0.124223i
\(482\) 16.1337 + 1.75464i 0.734869 + 0.0799218i
\(483\) −4.67708 + 28.5289i −0.212815 + 1.29811i
\(484\) 4.45749 2.68198i 0.202613 0.121908i
\(485\) 6.30619 4.79384i 0.286349 0.217677i
\(486\) −0.370138 0.928977i −0.0167898 0.0421392i
\(487\) −8.69699 10.2389i −0.394098 0.463968i 0.528950 0.848653i \(-0.322586\pi\)
−0.923048 + 0.384685i \(0.874310\pi\)
\(488\) 1.74838 + 10.6647i 0.0791457 + 0.482767i
\(489\) 0.471475 + 8.69584i 0.0213208 + 0.393239i
\(490\) 11.6844 + 2.57194i 0.527849 + 0.116188i
\(491\) −10.8171 + 10.2465i −0.488169 + 0.462418i −0.891752 0.452525i \(-0.850523\pi\)
0.403583 + 0.914943i \(0.367765\pi\)
\(492\) −5.40808 + 1.82219i −0.243815 + 0.0821508i
\(493\) −0.214927 + 0.539426i −0.00967982 + 0.0242945i
\(494\) 2.19271 + 7.89742i 0.0986545 + 0.355322i
\(495\) 5.00291 1.10122i 0.224864 0.0494963i
\(496\) 1.61097 2.37600i 0.0723346 0.106686i
\(497\) 4.53015 + 8.54477i 0.203205 + 0.383285i
\(498\) −7.11071 + 13.4122i −0.318638 + 0.601016i
\(499\) 16.8688 + 24.8796i 0.755150 + 1.11376i 0.989908 + 0.141710i \(0.0452599\pi\)
−0.234758 + 0.972054i \(0.575430\pi\)
\(500\) −8.45458 8.00861i −0.378100 0.358156i
\(501\) −3.95859 1.83144i −0.176857 0.0818227i
\(502\) 15.6767 + 7.25282i 0.699686 + 0.323709i
\(503\) 21.6486 + 20.5066i 0.965263 + 0.914346i 0.996366 0.0851702i \(-0.0271434\pi\)
−0.0311031 + 0.999516i \(0.509902\pi\)
\(504\) −1.99389 2.94076i −0.0888147 0.130992i
\(505\) −3.79312 + 7.15458i −0.168792 + 0.318375i
\(506\) 9.17721 + 17.3100i 0.407977 + 0.769526i
\(507\) 0.912371 1.34565i 0.0405198 0.0597623i
\(508\) −2.22412 + 0.489566i −0.0986794 + 0.0217210i
\(509\) −0.777413 2.79999i −0.0344582 0.124107i 0.944321 0.329027i \(-0.106721\pi\)
−0.978779 + 0.204919i \(0.934307\pi\)
\(510\) −0.212285 + 0.532796i −0.00940015 + 0.0235926i
\(511\) 37.3393 12.5811i 1.65179 0.556554i
\(512\) 0.725995 0.687699i 0.0320848 0.0303923i
\(513\) −2.09304 0.460712i −0.0924099 0.0203409i
\(514\) −0.217929 4.01947i −0.00961246 0.177291i
\(515\) −1.89409 11.5534i −0.0834635 0.509105i
\(516\) 7.10040 + 8.35924i 0.312578 + 0.367995i
\(517\) −7.38854 18.5438i −0.324948 0.815557i
\(518\) 3.32958 2.53108i 0.146293 0.111209i
\(519\) 16.9496 10.1982i 0.744003 0.447652i
\(520\) 1.31629 8.02904i 0.0577233 0.352097i
\(521\) 27.3421 + 2.97363i 1.19788 + 0.130277i 0.685234 0.728323i \(-0.259700\pi\)
0.512645 + 0.858601i \(0.328666\pi\)
\(522\) 1.71474 + 1.30351i 0.0750520 + 0.0570531i
\(523\) −10.5944 + 38.1577i −0.463262 + 1.66852i 0.250488 + 0.968120i \(0.419409\pi\)
−0.713751 + 0.700400i \(0.753005\pi\)
\(524\) 0.583927 10.7699i 0.0255090 0.470486i
\(525\) 1.67382 0.182039i 0.0730514 0.00794481i
\(526\) 6.41216 + 3.85807i 0.279584 + 0.168220i
\(527\) 0.500998 0.589820i 0.0218238 0.0256930i
\(528\) −2.28183 0.768838i −0.0993039 0.0334594i
\(529\) 39.2136 18.1422i 1.70494 0.788789i
\(530\) 0.603647 0.0262208
\(531\) 2.23569 7.34859i 0.0970205 0.318901i
\(532\) −7.61454 −0.330132
\(533\) 19.8078 9.16405i 0.857970 0.396939i
\(534\) 8.19259 + 2.76040i 0.354528 + 0.119454i
\(535\) −22.3635 + 26.3284i −0.966860 + 1.13828i
\(536\) 7.10005 + 4.27196i 0.306676 + 0.184521i
\(537\) −20.0414 + 2.17963i −0.864849 + 0.0940580i
\(538\) −0.856204 + 15.7918i −0.0369136 + 0.680831i
\(539\) −3.62262 + 13.0475i −0.156037 + 0.561995i
\(540\) 1.69366 + 1.28749i 0.0728836 + 0.0554047i
\(541\) 18.9497 + 2.06090i 0.814710 + 0.0886051i 0.505981 0.862545i \(-0.331131\pi\)
0.308730 + 0.951150i \(0.400096\pi\)
\(542\) −2.26639 + 13.8243i −0.0973496 + 0.593806i
\(543\) −6.54237 + 3.93641i −0.280760 + 0.168928i
\(544\) 0.214613 0.163145i 0.00920148 0.00699478i
\(545\) −15.4313 38.7295i −0.661002 1.65899i
\(546\) 8.79662 + 10.3562i 0.376460 + 0.443204i
\(547\) 5.16652 + 31.5144i 0.220904 + 1.34746i 0.831504 + 0.555518i \(0.187480\pi\)
−0.610600 + 0.791939i \(0.709072\pi\)
\(548\) 0.461950 + 8.52016i 0.0197335 + 0.363963i
\(549\) 10.5544 + 2.32319i 0.450450 + 0.0991515i
\(550\) 0.828393 0.784696i 0.0353228 0.0334595i
\(551\) 4.37456 1.47396i 0.186362 0.0627928i
\(552\) −3.01173 + 7.55887i −0.128188 + 0.321727i
\(553\) −2.69579 9.70936i −0.114637 0.412884i
\(554\) −1.12364 + 0.247332i −0.0477389 + 0.0105081i
\(555\) −1.40541 + 2.07283i −0.0596564 + 0.0879867i
\(556\) 1.53754 + 2.90010i 0.0652061 + 0.122992i
\(557\) −2.44100 + 4.60421i −0.103428 + 0.195087i −0.929825 0.368002i \(-0.880042\pi\)
0.826397 + 0.563088i \(0.190387\pi\)
\(558\) −1.61097 2.37600i −0.0681977 0.100584i
\(559\) −30.4518 28.8455i −1.28797 1.22003i
\(560\) 6.86022 + 3.17388i 0.289897 + 0.134121i
\(561\) −0.589128 0.272560i −0.0248730 0.0115075i
\(562\) 9.71476 + 9.20231i 0.409792 + 0.388176i
\(563\) −14.5987 21.5315i −0.615263 0.907445i 0.384615 0.923077i \(-0.374334\pi\)
−0.999878 + 0.0156323i \(0.995024\pi\)
\(564\) 3.88316 7.32442i 0.163511 0.308414i
\(565\) 1.11570 + 2.10443i 0.0469377 + 0.0885339i
\(566\) 5.35142 7.89275i 0.224937 0.331757i
\(567\) −3.46991 + 0.763785i −0.145723 + 0.0320760i
\(568\) 0.728224 + 2.62283i 0.0305556 + 0.110051i
\(569\) −13.2350 + 33.2174i −0.554841 + 1.39255i 0.337560 + 0.941304i \(0.390398\pi\)
−0.892401 + 0.451243i \(0.850981\pi\)
\(570\) 4.32079 1.45585i 0.180978 0.0609786i
\(571\) −31.0202 + 29.3839i −1.29816 + 1.22968i −0.341013 + 0.940059i \(0.610770\pi\)
−0.957142 + 0.289619i \(0.906471\pi\)
\(572\) 8.99331 + 1.97958i 0.376029 + 0.0827702i
\(573\) −0.0611305 1.12749i −0.00255376 0.0471014i
\(574\) 3.28032 + 20.0091i 0.136918 + 0.835162i
\(575\) −2.49623 2.93879i −0.104100 0.122556i
\(576\) −0.370138 0.928977i −0.0154224 0.0387074i
\(577\) 23.2645 17.6852i 0.968515 0.736246i 0.00392268 0.999992i \(-0.498751\pi\)
0.964592 + 0.263747i \(0.0849583\pi\)
\(578\) −14.5043 + 8.72695i −0.603299 + 0.362993i
\(579\) −0.0755638 + 0.460919i −0.00314033 + 0.0191551i
\(580\) −4.55558 0.495449i −0.189160 0.0205724i
\(581\) 42.9383 + 32.6408i 1.78138 + 1.35417i
\(582\) −0.996116 + 3.58769i −0.0412903 + 0.148714i
\(583\) −0.0369882 + 0.682208i −0.00153190 + 0.0282542i
\(584\) 11.0248 1.19902i 0.456209 0.0496158i
\(585\) −6.97158 4.19466i −0.288239 0.173428i
\(586\) −3.58778 + 4.22386i −0.148210 + 0.174486i
\(587\) −39.6542 13.3610i −1.63670 0.551469i −0.657342 0.753592i \(-0.728319\pi\)
−0.979360 + 0.202123i \(0.935216\pi\)
\(588\) −5.10389 + 2.36131i −0.210481 + 0.0973789i
\(589\) −6.15220 −0.253497
\(590\) 3.98460 + 15.8482i 0.164043 + 0.652458i
\(591\) −17.4939 −0.719603
\(592\) 1.06836 0.494274i 0.0439091 0.0203145i
\(593\) 3.97684 + 1.33995i 0.163309 + 0.0550252i 0.399769 0.916616i \(-0.369090\pi\)
−0.236459 + 0.971641i \(0.575987\pi\)
\(594\) −1.55882 + 1.83519i −0.0639594 + 0.0752988i
\(595\) 1.74605 + 1.05056i 0.0715812 + 0.0430690i
\(596\) 4.95093 0.538446i 0.202798 0.0220556i
\(597\) −1.44302 + 26.6149i −0.0590588 + 1.08928i
\(598\) 8.32495 29.9837i 0.340432 1.22613i
\(599\) −15.5486 11.8198i −0.635301 0.482943i 0.237262 0.971446i \(-0.423750\pi\)
−0.872562 + 0.488503i \(0.837543\pi\)
\(600\) 0.471102 + 0.0512355i 0.0192327 + 0.00209168i
\(601\) 6.34599 38.7088i 0.258858 1.57897i −0.462637 0.886548i \(-0.653097\pi\)
0.721496 0.692419i \(-0.243455\pi\)
\(602\) 33.3903 20.0903i 1.36089 0.818819i
\(603\) 6.59655 5.01457i 0.268632 0.204209i
\(604\) −8.07397 20.2641i −0.328525 0.824536i
\(605\) 7.16487 + 8.43514i 0.291294 + 0.342937i
\(606\) −0.615799 3.75621i −0.0250151 0.152585i
\(607\) 0.292911 + 5.40242i 0.0118889 + 0.219277i 0.998440 + 0.0558272i \(0.0177796\pi\)
−0.986552 + 0.163450i \(0.947738\pi\)
\(608\) −2.09304 0.460712i −0.0848839 0.0186844i
\(609\) 5.55597 5.26290i 0.225139 0.213263i
\(610\) −21.7881 + 7.34126i −0.882174 + 0.297239i
\(611\) −11.7350 + 29.4527i −0.474749 + 1.19153i
\(612\) −0.0721212 0.259757i −0.00291533 0.0105001i
\(613\) −25.3194 + 5.57322i −1.02264 + 0.225100i −0.694472 0.719519i \(-0.744362\pi\)
−0.328168 + 0.944620i \(0.606431\pi\)
\(614\) −9.83603 + 14.5071i −0.396950 + 0.585457i
\(615\) −5.68697 10.7268i −0.229321 0.432545i
\(616\) −4.00729 + 7.55856i −0.161458 + 0.304543i
\(617\) −18.9174 27.9011i −0.761586 1.12326i −0.988776 0.149405i \(-0.952264\pi\)
0.227190 0.973850i \(-0.427046\pi\)
\(618\) 3.99522 + 3.78447i 0.160711 + 0.152234i
\(619\) −11.3617 5.25647i −0.456664 0.211275i 0.178051 0.984021i \(-0.443021\pi\)
−0.634716 + 0.772746i \(0.718883\pi\)
\(620\) 5.54274 + 2.56435i 0.222602 + 0.102987i
\(621\) 5.90726 + 5.59565i 0.237050 + 0.224546i
\(622\) 0.851665 + 1.25611i 0.0341487 + 0.0503655i
\(623\) 14.3876 27.1379i 0.576428 1.08726i
\(624\) 1.79137 + 3.37887i 0.0717120 + 0.135263i
\(625\) 12.5740 18.5452i 0.502959 0.741809i
\(626\) −11.8308 + 2.60417i −0.472856 + 0.104083i
\(627\) 1.38056 + 4.97232i 0.0551342 + 0.198575i
\(628\) −8.70557 + 21.8493i −0.347390 + 0.871883i
\(629\) 0.300729 0.101327i 0.0119909 0.00404019i
\(630\) 5.48769 5.19822i 0.218635 0.207102i
\(631\) 0.373848 + 0.0822902i 0.0148827 + 0.00327592i 0.222406 0.974954i \(-0.428609\pi\)
−0.207523 + 0.978230i \(0.566540\pi\)
\(632\) −0.153544 2.83196i −0.00610766 0.112649i
\(633\) 3.68529 + 22.4793i 0.146477 + 0.893472i
\(634\) −16.3351 19.2312i −0.648749 0.763767i
\(635\) −1.79333 4.50091i −0.0711660 0.178613i
\(636\) −0.225883 + 0.171712i −0.00895685 + 0.00680882i
\(637\) 18.4284 11.0880i 0.730159 0.439322i
\(638\) 0.839069 5.11810i 0.0332191 0.202627i
\(639\) 2.70609 + 0.294305i 0.107051 + 0.0116425i
\(640\) 1.69366 + 1.28749i 0.0669479 + 0.0508925i
\(641\) 5.76497 20.7636i 0.227703 0.820111i −0.758091 0.652149i \(-0.773868\pi\)
0.985793 0.167962i \(-0.0537186\pi\)
\(642\) 0.879070 16.2135i 0.0346941 0.639895i
\(643\) 5.75730 0.626144i 0.227046 0.0246927i 0.00611116 0.999981i \(-0.498055\pi\)
0.220935 + 0.975289i \(0.429089\pi\)
\(644\) 24.7715 + 14.9045i 0.976136 + 0.587321i
\(645\) −15.1059 + 17.7840i −0.594793 + 0.700245i
\(646\) −0.547512 0.184478i −0.0215416 0.00725820i
\(647\) −40.8850 + 18.9154i −1.60735 + 0.743641i −0.998757 0.0498384i \(-0.984129\pi\)
−0.608597 + 0.793480i \(0.708267\pi\)
\(648\) −1.00000 −0.0392837
\(649\) −18.1548 + 3.53207i −0.712640 + 0.138646i
\(650\) −1.81229 −0.0710840
\(651\) −9.25666 + 4.28259i −0.362797 + 0.167848i
\(652\) 8.25274 + 2.78067i 0.323202 + 0.108900i
\(653\) 10.4532 12.3065i 0.409066 0.481590i −0.518591 0.855022i \(-0.673543\pi\)
0.927657 + 0.373433i \(0.121819\pi\)
\(654\) 16.7912 + 10.1030i 0.656590 + 0.395057i
\(655\) 22.8118 2.48093i 0.891330 0.0969379i
\(656\) −0.308960 + 5.69844i −0.0120629 + 0.222487i
\(657\) 2.96684 10.6856i 0.115747 0.416884i
\(658\) −23.4486 17.8252i −0.914123 0.694898i
\(659\) 2.37957 + 0.258794i 0.0926948 + 0.0100812i 0.154349 0.988016i \(-0.450672\pi\)
−0.0616540 + 0.998098i \(0.519638\pi\)
\(660\) 0.828757 5.05519i 0.0322593 0.196773i
\(661\) −14.6499 + 8.81456i −0.569816 + 0.342847i −0.771128 0.636680i \(-0.780307\pi\)
0.201312 + 0.979527i \(0.435479\pi\)
\(662\) 18.5593 14.1084i 0.721328 0.548339i
\(663\) 0.381607 + 0.957762i 0.0148204 + 0.0371964i
\(664\) 9.82769 + 11.5701i 0.381388 + 0.449005i
\(665\) −2.62082 15.9863i −0.101631 0.619922i
\(666\) −0.0637298 1.17543i −0.00246948 0.0455469i
\(667\) −17.1164 3.76760i −0.662748 0.145882i
\(668\) −3.16659 + 2.99955i −0.122519 + 0.116056i
\(669\) 24.3953 8.21972i 0.943176 0.317793i
\(670\) −6.52499 + 16.3765i −0.252082 + 0.632679i
\(671\) −6.96162 25.0735i −0.268750 0.967952i
\(672\) −3.46991 + 0.763785i −0.133855 + 0.0294637i
\(673\) −22.5585 + 33.2713i −0.869567 + 1.28251i 0.0885312 + 0.996073i \(0.471783\pi\)
−0.958098 + 0.286441i \(0.907528\pi\)
\(674\) −2.69750 5.08803i −0.103904 0.195983i
\(675\) 0.221970 0.418679i 0.00854361 0.0161150i
\(676\) −0.912371 1.34565i −0.0350912 0.0517556i
\(677\) 5.67230 + 5.37308i 0.218004 + 0.206504i 0.788906 0.614514i \(-0.210648\pi\)
−0.570902 + 0.821018i \(0.693406\pi\)
\(678\) −1.01611 0.470103i −0.0390235 0.0180542i
\(679\) 12.0065 + 5.55479i 0.460766 + 0.213173i
\(680\) 0.416380 + 0.394416i 0.0159675 + 0.0151252i
\(681\) 16.1036 + 23.7511i 0.617092 + 0.910143i
\(682\) −3.23771 + 6.10696i −0.123978 + 0.233848i
\(683\) 12.0339 + 22.6984i 0.460465 + 0.868530i 0.999653 + 0.0263442i \(0.00838660\pi\)
−0.539187 + 0.842186i \(0.681269\pi\)
\(684\) −1.20270 + 1.77386i −0.0459865 + 0.0678251i
\(685\) −17.7286 + 3.90236i −0.677374 + 0.149101i
\(686\) −1.30824 4.71187i −0.0499490 0.179900i
\(687\) −6.15112 + 15.4381i −0.234680 + 0.589002i
\(688\) 10.3937 3.50203i 0.396255 0.133514i
\(689\) 0.787796 0.746240i 0.0300126 0.0284295i
\(690\) −16.9060 3.72129i −0.643600 0.141667i
\(691\) 0.818140 + 15.0897i 0.0311235 + 0.574039i 0.971955 + 0.235165i \(0.0755632\pi\)
−0.940832 + 0.338874i \(0.889954\pi\)
\(692\) −3.20022 19.5205i −0.121654 0.742058i
\(693\) 5.53847 + 6.52039i 0.210389 + 0.247689i
\(694\) 1.05490 + 2.64761i 0.0400436 + 0.100502i
\(695\) −5.55940 + 4.22615i −0.210880 + 0.160307i
\(696\) 1.84562 1.11047i 0.0699580 0.0420923i
\(697\) −0.248895 + 1.51819i −0.00942758 + 0.0575057i
\(698\) −6.43348 0.699683i −0.243511 0.0264834i
\(699\) −13.1870 10.0245i −0.498780 0.379163i
\(700\) 0.450434 1.62232i 0.0170248 0.0613178i
\(701\) 0.243460 4.49036i 0.00919536 0.169598i −0.990328 0.138743i \(-0.955694\pi\)
0.999524 0.0308559i \(-0.00982330\pi\)
\(702\) 3.80195 0.413487i 0.143495 0.0156061i
\(703\) −2.16169 1.30064i −0.0815296 0.0490547i
\(704\) −1.55882 + 1.83519i −0.0587504 + 0.0691663i
\(705\) 16.7137 + 5.63151i 0.629476 + 0.212095i
\(706\) −6.87208 + 3.17936i −0.258634 + 0.119657i
\(707\) −13.5239 −0.508618
\(708\) −5.99915 4.79689i −0.225462 0.180278i
\(709\) 17.5093 0.657575 0.328788 0.944404i \(-0.393360\pi\)
0.328788 + 0.944404i \(0.393360\pi\)
\(710\) −5.25583 + 2.43161i −0.197248 + 0.0912565i
\(711\) −2.68765 0.905576i −0.100795 0.0339617i
\(712\) 5.59674 6.58899i 0.209747 0.246933i
\(713\) 20.0143 + 12.0422i 0.749540 + 0.450983i
\(714\) −0.952209 + 0.103559i −0.0356355 + 0.00387560i
\(715\) −1.06064 + 19.5623i −0.0396655 + 0.731587i
\(716\) −5.39325 + 19.4247i −0.201555 + 0.725937i
\(717\) −9.36123 7.11622i −0.349601 0.265760i
\(718\) −17.9425 1.95137i −0.669609 0.0728244i
\(719\) 2.53247 15.4474i 0.0944450 0.576089i −0.896630 0.442781i \(-0.853992\pi\)
0.991075 0.133308i \(-0.0425599\pi\)
\(720\) 1.82294 1.09682i 0.0679368 0.0408762i
\(721\) 15.5655 11.8326i 0.579690 0.440669i
\(722\) −5.33256 13.3837i −0.198457 0.498090i
\(723\) −10.5063 12.3690i −0.390734 0.460008i
\(724\) 1.23526 + 7.53473i 0.0459079 + 0.280026i
\(725\) 0.0552601 + 1.01921i 0.00205231 + 0.0378526i
\(726\) −5.08052 1.11831i −0.188556 0.0415042i
\(727\) 6.89888 6.53496i 0.255865 0.242368i −0.549005 0.835819i \(-0.684993\pi\)
0.804871 + 0.593450i \(0.202235\pi\)
\(728\) 12.8766 4.33864i 0.477239 0.160801i
\(729\) −0.370138 + 0.928977i −0.0137088 + 0.0344065i
\(730\) 6.31185 + 22.7332i 0.233612 + 0.841395i
\(731\) 2.88761 0.635611i 0.106802 0.0235089i
\(732\) 6.06477 8.94487i 0.224160 0.330612i
\(733\) −13.2245 24.9440i −0.488456 0.921326i −0.998140 0.0609644i \(-0.980582\pi\)
0.509684 0.860362i \(-0.329762\pi\)
\(734\) −6.41696 + 12.1037i −0.236854 + 0.446755i
\(735\) −6.71413 9.90260i −0.247654 0.365263i
\(736\) 5.90726 + 5.59565i 0.217744 + 0.206258i
\(737\) −18.1080 8.37764i −0.667016 0.308594i
\(738\) 5.17936 + 2.39623i 0.190655 + 0.0882063i
\(739\) −18.9924 17.9905i −0.698646 0.661793i 0.253535 0.967326i \(-0.418407\pi\)
−0.952181 + 0.305533i \(0.901165\pi\)
\(740\) 1.40541 + 2.07283i 0.0516640 + 0.0761987i
\(741\) 3.83915 7.24141i 0.141035 0.266020i
\(742\) 0.472212 + 0.890687i 0.0173355 + 0.0326982i
\(743\) 26.8290 39.5699i 0.984261 1.45168i 0.0943525 0.995539i \(-0.469922\pi\)
0.889909 0.456138i \(-0.150768\pi\)
\(744\) −2.80353 + 0.617103i −0.102782 + 0.0226241i
\(745\) 2.83448 + 10.2089i 0.103847 + 0.374024i
\(746\) −0.102307 + 0.256772i −0.00374573 + 0.00940108i
\(747\) 14.3859 4.84718i 0.526353 0.177349i
\(748\) −0.471260 + 0.446402i −0.0172310 + 0.0163221i
\(749\) −56.3420 12.4018i −2.05869 0.453152i
\(750\) 0.630475 + 11.6284i 0.0230217 + 0.424610i
\(751\) −2.41398 14.7247i −0.0880876 0.537310i −0.993597 0.112984i \(-0.963959\pi\)
0.905509 0.424326i \(-0.139489\pi\)
\(752\) −5.36691 6.31842i −0.195711 0.230409i
\(753\) −6.39346 16.0464i −0.232991 0.584762i
\(754\) −6.55779 + 4.98510i −0.238820 + 0.181547i
\(755\) 39.7644 23.9255i 1.44718 0.870737i
\(756\) −0.574808 + 3.50617i −0.0209056 + 0.127518i
\(757\) 36.2708 + 3.94468i 1.31828 + 0.143372i 0.740079 0.672520i \(-0.234788\pi\)
0.578204 + 0.815892i \(0.303754\pi\)
\(758\) 20.6175 + 15.6730i 0.748861 + 0.569269i
\(759\) 5.24150 18.8782i 0.190254 0.685234i