Properties

Label 115.2.j.a.9.8
Level $115$
Weight $2$
Character 115.9
Analytic conductor $0.918$
Analytic rank $0$
Dimension $100$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 115 = 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 115.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.918279623245\)
Analytic rank: \(0\)
Dimension: \(100\)
Relative dimension: \(10\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.8
Character \(\chi\) \(=\) 115.9
Dual form 115.2.j.a.64.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.394732 + 1.34433i) q^{2} +(1.97191 - 1.70867i) q^{3} +(0.0310904 - 0.0199806i) q^{4} +(-1.92204 + 1.14270i) q^{5} +(3.07540 + 1.97644i) q^{6} +(-2.68179 - 1.22473i) q^{7} +(2.15687 + 1.86894i) q^{8} +(0.541936 - 3.76925i) q^{9} +O(q^{10})\) \(q+(0.394732 + 1.34433i) q^{2} +(1.97191 - 1.70867i) q^{3} +(0.0310904 - 0.0199806i) q^{4} +(-1.92204 + 1.14270i) q^{5} +(3.07540 + 1.97644i) q^{6} +(-2.68179 - 1.22473i) q^{7} +(2.15687 + 1.86894i) q^{8} +(0.541936 - 3.76925i) q^{9} +(-2.29486 - 2.13280i) q^{10} +(1.52091 + 0.446579i) q^{11} +(0.0271673 - 0.0925233i) q^{12} +(-4.24625 + 1.93920i) q^{13} +(0.587861 - 4.08866i) q^{14} +(-1.83759 + 5.53744i) q^{15} +(-1.63039 + 3.57005i) q^{16} +(0.714176 - 1.11128i) q^{17} +(5.28104 - 0.759299i) q^{18} +(-4.70724 + 3.02516i) q^{19} +(-0.0369252 + 0.0739305i) q^{20} +(-7.38094 + 2.16724i) q^{21} +2.22088i q^{22} +(4.51845 - 1.60736i) q^{23} +7.44658 q^{24} +(2.38847 - 4.39263i) q^{25} +(-4.28306 - 4.94291i) q^{26} +(-1.13981 - 1.77358i) q^{27} +(-0.107849 + 0.0155063i) q^{28} +(-4.78017 - 3.07203i) q^{29} +(-8.16952 - 0.284533i) q^{30} +(4.02560 - 4.64579i) q^{31} +(0.206907 + 0.0297487i) q^{32} +(3.76216 - 1.71812i) q^{33} +(1.77584 + 0.521433i) q^{34} +(6.55402 - 0.710500i) q^{35} +(-0.0584628 - 0.128016i) q^{36} +(0.226161 + 0.0325170i) q^{37} +(-5.92491 - 5.13396i) q^{38} +(-5.05979 + 11.0794i) q^{39} +(-6.28124 - 1.12752i) q^{40} +(-0.944912 - 6.57201i) q^{41} +(-5.82698 - 9.06696i) q^{42} +(4.67889 - 4.05429i) q^{43} +(0.0562086 - 0.0165043i) q^{44} +(3.26550 + 7.86391i) q^{45} +(3.94440 + 5.43983i) q^{46} +9.26629i q^{47} +(2.88507 + 9.82563i) q^{48} +(1.10802 + 1.27872i) q^{49} +(6.84796 + 1.47699i) q^{50} +(-0.490520 - 3.41164i) q^{51} +(-0.0932714 + 0.145133i) q^{52} +(7.81920 + 3.57091i) q^{53} +(1.93436 - 2.23238i) q^{54} +(-3.43355 + 0.879600i) q^{55} +(-3.49533 - 7.65371i) q^{56} +(-4.11326 + 14.0085i) q^{57} +(2.24294 - 7.63876i) q^{58} +(4.84630 + 10.6119i) q^{59} +(0.0535098 + 0.208878i) q^{60} +(-2.17039 + 2.50477i) q^{61} +(7.83452 + 3.57791i) q^{62} +(-6.06969 + 9.44462i) q^{63} +(1.15877 + 8.05944i) q^{64} +(5.94554 - 8.57941i) q^{65} +(3.79477 + 4.37939i) q^{66} +(-2.96939 - 10.1128i) q^{67} -0.0488198i q^{68} +(6.16355 - 10.8901i) q^{69} +(3.54223 + 8.53032i) q^{70} +(-7.18012 + 2.10827i) q^{71} +(8.21339 - 7.11694i) q^{72} +(-0.164990 - 0.256729i) q^{73} +(0.0455592 + 0.316871i) q^{74} +(-2.79571 - 12.7430i) q^{75} +(-0.0859054 + 0.188107i) q^{76} +(-3.53182 - 3.06034i) q^{77} +(-16.8916 - 2.42865i) q^{78} +(-3.42189 - 7.49289i) q^{79} +(-0.945830 - 8.72482i) q^{80} +(5.68318 + 1.66873i) q^{81} +(8.46197 - 3.86445i) q^{82} +(-6.71269 - 0.965140i) q^{83} +(-0.186174 + 0.214856i) q^{84} +(-0.102815 + 2.95201i) q^{85} +(7.29721 + 4.68964i) q^{86} +(-14.6752 + 2.10997i) q^{87} +(2.44578 + 3.80570i) q^{88} +(5.15177 + 5.94546i) q^{89} +(-9.28271 + 7.49405i) q^{90} +13.7626 q^{91} +(0.108365 - 0.140255i) q^{92} -16.0395i q^{93} +(-12.4570 + 3.65770i) q^{94} +(5.59064 - 11.1934i) q^{95} +(0.458834 - 0.294875i) q^{96} +(5.61695 - 0.807595i) q^{97} +(-1.28166 + 1.99430i) q^{98} +(2.50750 - 5.49066i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} + O(q^{10}) \) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} - 13q^{10} - 26q^{11} - 26q^{14} - 10q^{15} - 18q^{16} - 14q^{19} + 49q^{20} - 22q^{21} - 68q^{24} + 21q^{25} - 42q^{26} - 24q^{29} + 19q^{30} - 12q^{31} + 8q^{34} - 37q^{35} - 10q^{36} + 14q^{39} - q^{40} + 8q^{41} + 166q^{44} - 42q^{45} - 18q^{46} + 32q^{49} - 23q^{50} - 22q^{51} + 116q^{54} + 27q^{55} - 116q^{56} + 50q^{59} + 123q^{60} - 38q^{61} + 10q^{64} + 76q^{65} - 28q^{66} + 80q^{69} + 102q^{70} - 110q^{71} + 22q^{74} + 6q^{75} + 4q^{76} + 42q^{79} + 18q^{80} + 204q^{81} + 56q^{84} - 121q^{85} + 132q^{86} - 66q^{89} - 198q^{90} + 76q^{91} - 70q^{94} - 74q^{95} + 236q^{96} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.394732 + 1.34433i 0.279117 + 0.950587i 0.973059 + 0.230555i \(0.0740543\pi\)
−0.693942 + 0.720031i \(0.744128\pi\)
\(3\) 1.97191 1.70867i 1.13848 0.986503i 0.138492 0.990364i \(-0.455774\pi\)
0.999993 + 0.00386079i \(0.00122893\pi\)
\(4\) 0.0310904 0.0199806i 0.0155452 0.00999030i
\(5\) −1.92204 + 1.14270i −0.859562 + 0.511031i
\(6\) 3.07540 + 1.97644i 1.25553 + 0.806878i
\(7\) −2.68179 1.22473i −1.01362 0.462906i −0.161849 0.986816i \(-0.551746\pi\)
−0.851774 + 0.523909i \(0.824473\pi\)
\(8\) 2.15687 + 1.86894i 0.762570 + 0.660771i
\(9\) 0.541936 3.76925i 0.180645 1.25642i
\(10\) −2.29486 2.13280i −0.725698 0.674451i
\(11\) 1.52091 + 0.446579i 0.458571 + 0.134649i 0.502856 0.864370i \(-0.332283\pi\)
−0.0442848 + 0.999019i \(0.514101\pi\)
\(12\) 0.0271673 0.0925233i 0.00784252 0.0267092i
\(13\) −4.24625 + 1.93920i −1.17770 + 0.537837i −0.905476 0.424398i \(-0.860486\pi\)
−0.272222 + 0.962234i \(0.587759\pi\)
\(14\) 0.587861 4.08866i 0.157113 1.09274i
\(15\) −1.83759 + 5.53744i −0.474465 + 1.42976i
\(16\) −1.63039 + 3.57005i −0.407597 + 0.892513i
\(17\) 0.714176 1.11128i 0.173213 0.269525i −0.743783 0.668421i \(-0.766970\pi\)
0.916996 + 0.398897i \(0.130607\pi\)
\(18\) 5.28104 0.759299i 1.24475 0.178968i
\(19\) −4.70724 + 3.02516i −1.07991 + 0.694019i −0.954538 0.298091i \(-0.903650\pi\)
−0.125376 + 0.992109i \(0.540014\pi\)
\(20\) −0.0369252 + 0.0739305i −0.00825672 + 0.0165314i
\(21\) −7.38094 + 2.16724i −1.61065 + 0.472930i
\(22\) 2.22088i 0.473494i
\(23\) 4.51845 1.60736i 0.942162 0.335157i
\(24\) 7.44658 1.52003
\(25\) 2.38847 4.39263i 0.477694 0.878526i
\(26\) −4.28306 4.94291i −0.839976 0.969384i
\(27\) −1.13981 1.77358i −0.219357 0.341326i
\(28\) −0.107849 + 0.0155063i −0.0203815 + 0.00293042i
\(29\) −4.78017 3.07203i −0.887655 0.570461i 0.0154501 0.999881i \(-0.495082\pi\)
−0.903105 + 0.429419i \(0.858718\pi\)
\(30\) −8.16952 0.284533i −1.49154 0.0519485i
\(31\) 4.02560 4.64579i 0.723020 0.834409i −0.268647 0.963239i \(-0.586577\pi\)
0.991667 + 0.128829i \(0.0411220\pi\)
\(32\) 0.206907 + 0.0297487i 0.0365764 + 0.00525889i
\(33\) 3.76216 1.71812i 0.654907 0.299086i
\(34\) 1.77584 + 0.521433i 0.304553 + 0.0894249i
\(35\) 6.55402 0.710500i 1.10783 0.120096i
\(36\) −0.0584628 0.128016i −0.00974379 0.0213359i
\(37\) 0.226161 + 0.0325170i 0.0371806 + 0.00534577i 0.160880 0.986974i \(-0.448567\pi\)
−0.123699 + 0.992320i \(0.539476\pi\)
\(38\) −5.92491 5.13396i −0.961147 0.832839i
\(39\) −5.05979 + 11.0794i −0.810214 + 1.77412i
\(40\) −6.28124 1.12752i −0.993151 0.178276i
\(41\) −0.944912 6.57201i −0.147570 1.02637i −0.920181 0.391494i \(-0.871958\pi\)
0.772610 0.634881i \(-0.218951\pi\)
\(42\) −5.82698 9.06696i −0.899122 1.39906i
\(43\) 4.67889 4.05429i 0.713525 0.618273i −0.220539 0.975378i \(-0.570782\pi\)
0.934064 + 0.357105i \(0.116236\pi\)
\(44\) 0.0562086 0.0165043i 0.00847376 0.00248812i
\(45\) 3.26550 + 7.86391i 0.486792 + 1.17228i
\(46\) 3.94440 + 5.43983i 0.581570 + 0.802059i
\(47\) 9.26629i 1.35163i 0.737073 + 0.675813i \(0.236208\pi\)
−0.737073 + 0.675813i \(0.763792\pi\)
\(48\) 2.88507 + 9.82563i 0.416423 + 1.41821i
\(49\) 1.10802 + 1.27872i 0.158289 + 0.182675i
\(50\) 6.84796 + 1.47699i 0.968448 + 0.208878i
\(51\) −0.490520 3.41164i −0.0686865 0.477725i
\(52\) −0.0932714 + 0.145133i −0.0129344 + 0.0201263i
\(53\) 7.81920 + 3.57091i 1.07405 + 0.490502i 0.872318 0.488938i \(-0.162616\pi\)
0.201732 + 0.979441i \(0.435343\pi\)
\(54\) 1.93436 2.23238i 0.263234 0.303788i
\(55\) −3.43355 + 0.879600i −0.462980 + 0.118605i
\(56\) −3.49533 7.65371i −0.467084 1.02277i
\(57\) −4.11326 + 14.0085i −0.544814 + 1.85547i
\(58\) 2.24294 7.63876i 0.294513 1.00302i
\(59\) 4.84630 + 10.6119i 0.630934 + 1.38155i 0.907293 + 0.420499i \(0.138145\pi\)
−0.276359 + 0.961055i \(0.589128\pi\)
\(60\) 0.0535098 + 0.208878i 0.00690809 + 0.0269660i
\(61\) −2.17039 + 2.50477i −0.277891 + 0.320703i −0.877488 0.479599i \(-0.840782\pi\)
0.599597 + 0.800302i \(0.295328\pi\)
\(62\) 7.83452 + 3.57791i 0.994986 + 0.454395i
\(63\) −6.06969 + 9.44462i −0.764709 + 1.18991i
\(64\) 1.15877 + 8.05944i 0.144847 + 1.00743i
\(65\) 5.94554 8.57941i 0.737453 1.06414i
\(66\) 3.79477 + 4.37939i 0.467103 + 0.539066i
\(67\) −2.96939 10.1128i −0.362769 1.23548i −0.915568 0.402163i \(-0.868259\pi\)
0.552799 0.833315i \(-0.313560\pi\)
\(68\) 0.0488198i 0.00592027i
\(69\) 6.16355 10.8901i 0.742004 1.31102i
\(70\) 3.54223 + 8.53032i 0.423377 + 1.01957i
\(71\) −7.18012 + 2.10827i −0.852123 + 0.250206i −0.678495 0.734605i \(-0.737367\pi\)
−0.173628 + 0.984811i \(0.555549\pi\)
\(72\) 8.21339 7.11694i 0.967957 0.838740i
\(73\) −0.164990 0.256729i −0.0193106 0.0300479i 0.831464 0.555579i \(-0.187503\pi\)
−0.850775 + 0.525531i \(0.823867\pi\)
\(74\) 0.0455592 + 0.316871i 0.00529615 + 0.0368355i
\(75\) −2.79571 12.7430i −0.322821 1.47144i
\(76\) −0.0859054 + 0.188107i −0.00985403 + 0.0215773i
\(77\) −3.53182 3.06034i −0.402488 0.348758i
\(78\) −16.8916 2.42865i −1.91260 0.274990i
\(79\) −3.42189 7.49289i −0.384992 0.843016i −0.998574 0.0533846i \(-0.982999\pi\)
0.613582 0.789631i \(-0.289728\pi\)
\(80\) −0.945830 8.72482i −0.105747 0.975465i
\(81\) 5.68318 + 1.66873i 0.631465 + 0.185415i
\(82\) 8.46197 3.86445i 0.934469 0.426758i
\(83\) −6.71269 0.965140i −0.736814 0.105938i −0.236317 0.971676i \(-0.575940\pi\)
−0.500497 + 0.865738i \(0.666849\pi\)
\(84\) −0.186174 + 0.214856i −0.0203132 + 0.0234427i
\(85\) −0.102815 + 2.95201i −0.0111518 + 0.320191i
\(86\) 7.29721 + 4.68964i 0.786879 + 0.505696i
\(87\) −14.6752 + 2.10997i −1.57334 + 0.226213i
\(88\) 2.44578 + 3.80570i 0.260721 + 0.405689i
\(89\) 5.15177 + 5.94546i 0.546086 + 0.630217i 0.959967 0.280114i \(-0.0903723\pi\)
−0.413881 + 0.910331i \(0.635827\pi\)
\(90\) −9.28271 + 7.49405i −0.978484 + 0.789942i
\(91\) 13.7626 1.44271
\(92\) 0.108365 0.140255i 0.0112978 0.0146226i
\(93\) 16.0395i 1.66322i
\(94\) −12.4570 + 3.65770i −1.28484 + 0.377263i
\(95\) 5.59064 11.1934i 0.573588 1.14842i
\(96\) 0.458834 0.294875i 0.0468295 0.0300955i
\(97\) 5.61695 0.807595i 0.570315 0.0819989i 0.148876 0.988856i \(-0.452434\pi\)
0.421438 + 0.906857i \(0.361525\pi\)
\(98\) −1.28166 + 1.99430i −0.129467 + 0.201455i
\(99\) 2.50750 5.49066i 0.252013 0.551832i
\(100\) −0.0135088 0.184292i −0.00135088 0.0184292i
\(101\) 0.745671 5.18625i 0.0741970 0.516052i −0.918500 0.395420i \(-0.870599\pi\)
0.992697 0.120631i \(-0.0384919\pi\)
\(102\) 4.39275 2.00610i 0.434947 0.198634i
\(103\) −5.25232 + 17.8877i −0.517526 + 1.76253i 0.120706 + 0.992688i \(0.461484\pi\)
−0.638232 + 0.769844i \(0.720334\pi\)
\(104\) −12.7829 3.75339i −1.25346 0.368050i
\(105\) 11.7099 12.5997i 1.14277 1.22961i
\(106\) −1.71400 + 11.9212i −0.166479 + 1.15789i
\(107\) 5.85951 + 5.07730i 0.566460 + 0.490841i 0.890364 0.455249i \(-0.150450\pi\)
−0.323904 + 0.946090i \(0.604995\pi\)
\(108\) −0.0708745 0.0323673i −0.00681990 0.00311454i
\(109\) 4.92636 + 3.16598i 0.471860 + 0.303246i 0.754874 0.655870i \(-0.227698\pi\)
−0.283014 + 0.959116i \(0.591334\pi\)
\(110\) −2.53781 4.26863i −0.241970 0.406998i
\(111\) 0.501531 0.322314i 0.0476032 0.0305927i
\(112\) 8.74473 7.57735i 0.826299 0.715992i
\(113\) −2.56064 8.72074i −0.240885 0.820378i −0.987836 0.155499i \(-0.950301\pi\)
0.746951 0.664879i \(-0.231517\pi\)
\(114\) −20.4557 −1.91585
\(115\) −6.84791 + 8.25264i −0.638571 + 0.769563i
\(116\) −0.209998 −0.0194979
\(117\) 5.00812 + 17.0561i 0.463001 + 1.57684i
\(118\) −12.3530 + 10.7039i −1.13718 + 0.985374i
\(119\) −3.27629 + 2.10555i −0.300337 + 0.193015i
\(120\) −14.3126 + 8.50921i −1.30656 + 0.776781i
\(121\) −7.14006 4.58864i −0.649096 0.417149i
\(122\) −4.22397 1.92902i −0.382420 0.174645i
\(123\) −13.0927 11.3449i −1.18053 1.02293i
\(124\) 0.0323319 0.224874i 0.00290349 0.0201942i
\(125\) 0.428727 + 11.1721i 0.0383465 + 0.999265i
\(126\) −15.0926 4.43159i −1.34456 0.394797i
\(127\) −1.78354 + 6.07417i −0.158263 + 0.538996i −1.00000 0.000893287i \(-0.999716\pi\)
0.841736 + 0.539889i \(0.181534\pi\)
\(128\) −9.99687 + 4.56542i −0.883607 + 0.403530i
\(129\) 2.29893 15.9894i 0.202409 1.40779i
\(130\) 13.8805 + 4.60622i 1.21740 + 0.403992i
\(131\) −1.99588 + 4.37037i −0.174381 + 0.381841i −0.976561 0.215241i \(-0.930946\pi\)
0.802180 + 0.597082i \(0.203673\pi\)
\(132\) 0.0826379 0.128587i 0.00719271 0.0111921i
\(133\) 16.3289 2.34773i 1.41589 0.203574i
\(134\) 12.4229 7.98370i 1.07317 0.689687i
\(135\) 4.21744 + 2.10643i 0.362979 + 0.181293i
\(136\) 3.61730 1.06214i 0.310181 0.0910774i
\(137\) 4.56852i 0.390315i −0.980772 0.195158i \(-0.937478\pi\)
0.980772 0.195158i \(-0.0625218\pi\)
\(138\) 17.0729 + 3.98718i 1.45334 + 0.339411i
\(139\) −15.2156 −1.29057 −0.645284 0.763943i \(-0.723261\pi\)
−0.645284 + 0.763943i \(0.723261\pi\)
\(140\) 0.189571 0.153043i 0.0160217 0.0129345i
\(141\) 15.8331 + 18.2723i 1.33338 + 1.53881i
\(142\) −5.66844 8.82026i −0.475685 0.740180i
\(143\) −7.32416 + 1.05306i −0.612477 + 0.0880609i
\(144\) 12.5728 + 8.08007i 1.04774 + 0.673339i
\(145\) 12.6981 + 0.442257i 1.05452 + 0.0367274i
\(146\) 0.280003 0.323141i 0.0231732 0.0267433i
\(147\) 4.36984 + 0.628289i 0.360419 + 0.0518204i
\(148\) 0.00768115 0.00350786i 0.000631386 0.000288345i
\(149\) 9.48896 + 2.78621i 0.777366 + 0.228255i 0.646264 0.763114i \(-0.276330\pi\)
0.131101 + 0.991369i \(0.458149\pi\)
\(150\) 16.0273 8.78843i 1.30862 0.717572i
\(151\) −7.52665 16.4811i −0.612510 1.34121i −0.920844 0.389932i \(-0.872499\pi\)
0.308333 0.951278i \(-0.400229\pi\)
\(152\) −15.8068 2.27267i −1.28210 0.184338i
\(153\) −3.80165 3.29415i −0.307345 0.266316i
\(154\) 2.71999 5.95596i 0.219183 0.479945i
\(155\) −2.42862 + 13.5295i −0.195071 + 1.08671i
\(156\) 0.0640619 + 0.445560i 0.00512905 + 0.0356734i
\(157\) −12.2151 19.0071i −0.974873 1.51693i −0.851355 0.524590i \(-0.824219\pi\)
−0.123518 0.992342i \(-0.539418\pi\)
\(158\) 8.72221 7.55784i 0.693902 0.601269i
\(159\) 21.5203 6.31893i 1.70667 0.501124i
\(160\) −0.431678 + 0.179255i −0.0341271 + 0.0141713i
\(161\) −14.0861 1.22330i −1.11014 0.0964095i
\(162\) 8.29879i 0.652014i
\(163\) 1.81699 + 6.18810i 0.142318 + 0.484689i 0.999542 0.0302534i \(-0.00963143\pi\)
−0.857225 + 0.514943i \(0.827813\pi\)
\(164\) −0.160690 0.185446i −0.0125478 0.0144809i
\(165\) −5.26772 + 7.60131i −0.410091 + 0.591761i
\(166\) −1.35224 9.40506i −0.104954 0.729974i
\(167\) 5.28392 8.22194i 0.408882 0.636233i −0.574346 0.818613i \(-0.694744\pi\)
0.983228 + 0.182380i \(0.0583800\pi\)
\(168\) −19.9702 9.12008i −1.54073 0.703630i
\(169\) 5.75697 6.64390i 0.442844 0.511069i
\(170\) −4.00907 + 1.02704i −0.307481 + 0.0787700i
\(171\) 8.85154 + 19.3822i 0.676894 + 1.48219i
\(172\) 0.0644617 0.219536i 0.00491516 0.0167395i
\(173\) 2.53455 8.63190i 0.192699 0.656271i −0.805290 0.592881i \(-0.797991\pi\)
0.997989 0.0633903i \(-0.0201913\pi\)
\(174\) −8.62926 18.8954i −0.654182 1.43246i
\(175\) −11.7852 + 8.85489i −0.890877 + 0.669367i
\(176\) −4.07398 + 4.70162i −0.307088 + 0.354398i
\(177\) 27.6888 + 12.6450i 2.08122 + 0.950459i
\(178\) −5.95910 + 9.27255i −0.446654 + 0.695007i
\(179\) 1.93200 + 13.4374i 0.144405 + 1.00436i 0.925175 + 0.379540i \(0.123918\pi\)
−0.780771 + 0.624818i \(0.785173\pi\)
\(180\) 0.258651 + 0.179246i 0.0192787 + 0.0133602i
\(181\) −2.05334 2.36968i −0.152623 0.176137i 0.674289 0.738468i \(-0.264450\pi\)
−0.826912 + 0.562331i \(0.809905\pi\)
\(182\) 5.43252 + 18.5015i 0.402685 + 1.37142i
\(183\) 8.64768i 0.639255i
\(184\) 12.7498 + 4.97785i 0.939927 + 0.366972i
\(185\) −0.471848 + 0.195935i −0.0346909 + 0.0144054i
\(186\) 21.5625 6.33131i 1.58104 0.464235i
\(187\) 1.58247 1.37122i 0.115722 0.100273i
\(188\) 0.185146 + 0.288093i 0.0135032 + 0.0210113i
\(189\) 0.884575 + 6.15235i 0.0643433 + 0.447518i
\(190\) 17.2545 + 3.09728i 1.25177 + 0.224701i
\(191\) 0.574624 1.25825i 0.0415783 0.0910439i −0.887703 0.460416i \(-0.847700\pi\)
0.929281 + 0.369373i \(0.120427\pi\)
\(192\) 16.0559 + 13.9126i 1.15874 + 1.00405i
\(193\) −2.60238 0.374166i −0.187324 0.0269331i 0.0480145 0.998847i \(-0.484711\pi\)
−0.235338 + 0.971914i \(0.575620\pi\)
\(194\) 3.30286 + 7.23226i 0.237132 + 0.519246i
\(195\) −2.93531 27.0768i −0.210202 1.93901i
\(196\) 0.0599985 + 0.0176172i 0.00428561 + 0.00125837i
\(197\) −12.7168 + 5.80756i −0.906033 + 0.413771i −0.813250 0.581915i \(-0.802304\pi\)
−0.0927834 + 0.995686i \(0.529576\pi\)
\(198\) 8.37106 + 1.20358i 0.594905 + 0.0855345i
\(199\) 8.88720 10.2564i 0.629997 0.727055i −0.347576 0.937652i \(-0.612995\pi\)
0.977573 + 0.210597i \(0.0675407\pi\)
\(200\) 13.3612 5.01044i 0.944780 0.354291i
\(201\) −23.1349 14.8679i −1.63181 1.04870i
\(202\) 7.26639 1.04475i 0.511261 0.0735083i
\(203\) 9.05701 + 14.0930i 0.635678 + 0.989134i
\(204\) −0.0834170 0.0962684i −0.00584036 0.00674013i
\(205\) 9.32599 + 11.5519i 0.651356 + 0.806820i
\(206\) −26.1203 −1.81989
\(207\) −3.60982 17.9022i −0.250900 1.24429i
\(208\) 18.3210i 1.27033i
\(209\) −8.51024 + 2.49883i −0.588666 + 0.172848i
\(210\) 21.5605 + 10.7686i 1.48782 + 0.743101i
\(211\) 5.33889 3.43110i 0.367545 0.236207i −0.343811 0.939039i \(-0.611718\pi\)
0.711356 + 0.702832i \(0.248082\pi\)
\(212\) 0.314451 0.0452113i 0.0215966 0.00310512i
\(213\) −10.5562 + 16.4258i −0.723300 + 1.12548i
\(214\) −4.51264 + 9.88130i −0.308478 + 0.675472i
\(215\) −4.36019 + 13.1391i −0.297362 + 0.896077i
\(216\) 0.856291 5.95564i 0.0582632 0.405230i
\(217\) −16.4857 + 7.52877i −1.11912 + 0.511086i
\(218\) −2.31154 + 7.87238i −0.156557 + 0.533185i
\(219\) −0.764012 0.224334i −0.0516272 0.0151591i
\(220\) −0.0891756 + 0.0959515i −0.00601221 + 0.00646905i
\(221\) −0.877579 + 6.10370i −0.0590324 + 0.410579i
\(222\) 0.631268 + 0.546997i 0.0423679 + 0.0367120i
\(223\) −8.76703 4.00377i −0.587084 0.268112i 0.0996485 0.995023i \(-0.468228\pi\)
−0.686732 + 0.726911i \(0.740955\pi\)
\(224\) −0.518448 0.333186i −0.0346403 0.0222619i
\(225\) −15.2625 11.3833i −1.01750 0.758884i
\(226\) 10.7128 6.88471i 0.712606 0.457964i
\(227\) −14.1856 + 12.2919i −0.941530 + 0.815841i −0.983058 0.183297i \(-0.941323\pi\)
0.0415273 + 0.999137i \(0.486778\pi\)
\(228\) 0.152015 + 0.517714i 0.0100674 + 0.0342865i
\(229\) −16.6093 −1.09757 −0.548786 0.835963i \(-0.684910\pi\)
−0.548786 + 0.835963i \(0.684910\pi\)
\(230\) −13.7974 5.94829i −0.909772 0.392219i
\(231\) −12.1936 −0.802278
\(232\) −4.56878 15.5598i −0.299955 1.02155i
\(233\) −10.2086 + 8.84581i −0.668789 + 0.579509i −0.921663 0.387990i \(-0.873169\pi\)
0.252875 + 0.967499i \(0.418624\pi\)
\(234\) −20.9522 + 13.4652i −1.36969 + 0.880245i
\(235\) −10.5886 17.8102i −0.690724 1.16181i
\(236\) 0.362706 + 0.233097i 0.0236101 + 0.0151733i
\(237\) −19.5506 8.92844i −1.26995 0.579965i
\(238\) −4.12381 3.57330i −0.267307 0.231623i
\(239\) −0.556606 + 3.87128i −0.0360038 + 0.250412i −0.999873 0.0159656i \(-0.994918\pi\)
0.963869 + 0.266378i \(0.0858269\pi\)
\(240\) −16.7730 15.5885i −1.08269 1.00623i
\(241\) 9.35355 + 2.74645i 0.602515 + 0.176914i 0.568743 0.822515i \(-0.307430\pi\)
0.0337718 + 0.999430i \(0.489248\pi\)
\(242\) 3.35025 11.4099i 0.215362 0.733456i
\(243\) 19.8113 9.04751i 1.27089 0.580398i
\(244\) −0.0174317 + 0.121240i −0.00111595 + 0.00776160i
\(245\) −3.59086 1.19162i −0.229412 0.0761300i
\(246\) 10.0832 22.0791i 0.642881 1.40771i
\(247\) 14.1217 21.9738i 0.898544 1.39816i
\(248\) 17.3654 2.49677i 1.10271 0.158545i
\(249\) −14.8860 + 9.56662i −0.943359 + 0.606260i
\(250\) −14.8498 + 4.98634i −0.939184 + 0.315364i
\(251\) 16.5033 4.84581i 1.04168 0.305865i 0.284228 0.958757i \(-0.408263\pi\)
0.757451 + 0.652892i \(0.226444\pi\)
\(252\) 0.414913i 0.0261371i
\(253\) 7.58996 0.426798i 0.477177 0.0268326i
\(254\) −8.86973 −0.556536
\(255\) 4.84128 + 5.99679i 0.303173 + 0.375533i
\(256\) 0.580645 + 0.670100i 0.0362903 + 0.0418812i
\(257\) −4.80672 7.47940i −0.299835 0.466552i 0.658346 0.752715i \(-0.271256\pi\)
−0.958181 + 0.286163i \(0.907620\pi\)
\(258\) 22.4025 3.22100i 1.39472 0.200531i
\(259\) −0.566693 0.364191i −0.0352126 0.0226297i
\(260\) 0.0134276 0.385533i 0.000832743 0.0239097i
\(261\) −14.1698 + 16.3528i −0.877087 + 1.01221i
\(262\) −6.66307 0.958004i −0.411646 0.0591857i
\(263\) 2.35945 1.07753i 0.145490 0.0664431i −0.341339 0.939940i \(-0.610881\pi\)
0.486830 + 0.873497i \(0.338153\pi\)
\(264\) 11.3256 + 3.32548i 0.697040 + 0.204669i
\(265\) −19.1093 + 2.07158i −1.17388 + 0.127256i
\(266\) 9.60165 + 21.0247i 0.588715 + 1.28911i
\(267\) 20.3177 + 2.92124i 1.24342 + 0.178777i
\(268\) −0.294380 0.255081i −0.0179821 0.0155816i
\(269\) −1.13907 + 2.49422i −0.0694504 + 0.152075i −0.941174 0.337924i \(-0.890275\pi\)
0.871723 + 0.489999i \(0.163003\pi\)
\(270\) −1.16699 + 6.50111i −0.0710206 + 0.395645i
\(271\) 1.97254 + 13.7193i 0.119823 + 0.833390i 0.957749 + 0.287606i \(0.0928593\pi\)
−0.837925 + 0.545785i \(0.816232\pi\)
\(272\) 2.80294 + 4.36146i 0.169953 + 0.264452i
\(273\) 27.1386 23.5157i 1.64250 1.42324i
\(274\) 6.14161 1.80334i 0.371028 0.108944i
\(275\) 5.59430 5.61415i 0.337349 0.338546i
\(276\) −0.0259640 0.461730i −0.00156285 0.0277929i
\(277\) 2.92978i 0.176033i 0.996119 + 0.0880167i \(0.0280529\pi\)
−0.996119 + 0.0880167i \(0.971947\pi\)
\(278\) −6.00607 20.4548i −0.360220 1.22680i
\(279\) −15.3295 17.6912i −0.917754 1.05915i
\(280\) 15.4641 + 10.7166i 0.924155 + 0.640441i
\(281\) 3.47962 + 24.2013i 0.207577 + 1.44373i 0.781032 + 0.624491i \(0.214694\pi\)
−0.573455 + 0.819237i \(0.694397\pi\)
\(282\) −18.3143 + 28.4975i −1.09060 + 1.69700i
\(283\) 18.1109 + 8.27096i 1.07658 + 0.491657i 0.873160 0.487434i \(-0.162067\pi\)
0.203420 + 0.979092i \(0.434794\pi\)
\(284\) −0.181108 + 0.209010i −0.0107468 + 0.0124025i
\(285\) −8.10164 31.6251i −0.479900 1.87331i
\(286\) −4.30673 9.43043i −0.254663 0.557633i
\(287\) −5.51490 + 18.7820i −0.325534 + 1.10867i
\(288\) 0.224261 0.763762i 0.0132147 0.0450051i
\(289\) 6.33716 + 13.8764i 0.372774 + 0.816262i
\(290\) 4.41779 + 17.2450i 0.259422 + 1.01266i
\(291\) 9.69622 11.1900i 0.568402 0.655971i
\(292\) −0.0102592 0.00468522i −0.000600375 0.000274182i
\(293\) 6.06437 9.43634i 0.354284 0.551277i −0.617673 0.786435i \(-0.711924\pi\)
0.971957 + 0.235158i \(0.0755609\pi\)
\(294\) 0.880287 + 6.12253i 0.0513394 + 0.357073i
\(295\) −21.4410 14.8587i −1.24834 0.865104i
\(296\) 0.427028 + 0.492817i 0.0248205 + 0.0286444i
\(297\) −0.941505 3.20647i −0.0546317 0.186058i
\(298\) 13.8561i 0.802663i
\(299\) −16.0695 + 15.5874i −0.929323 + 0.901443i
\(300\) −0.341533 0.340325i −0.0197184 0.0196487i
\(301\) −17.5133 + 5.14236i −1.00945 + 0.296400i
\(302\) 19.1850 16.6239i 1.10397 0.956599i
\(303\) −7.39121 11.5010i −0.424614 0.660713i
\(304\) −3.12534 21.7372i −0.179251 1.24672i
\(305\) 1.30938 7.29438i 0.0749751 0.417675i
\(306\) 2.92780 6.41098i 0.167371 0.366491i
\(307\) 5.74551 + 4.97852i 0.327914 + 0.284139i 0.803221 0.595681i \(-0.203118\pi\)
−0.475307 + 0.879820i \(0.657663\pi\)
\(308\) −0.170953 0.0245794i −0.00974096 0.00140054i
\(309\) 20.2072 + 44.2476i 1.14955 + 2.51716i
\(310\) −19.1467 + 2.07564i −1.08746 + 0.117888i
\(311\) 16.5580 + 4.86186i 0.938916 + 0.275691i 0.715165 0.698956i \(-0.246351\pi\)
0.223751 + 0.974646i \(0.428170\pi\)
\(312\) −31.6200 + 14.4404i −1.79013 + 0.817526i
\(313\) −2.68453 0.385977i −0.151738 0.0218167i 0.0660270 0.997818i \(-0.478968\pi\)
−0.217765 + 0.976001i \(0.569877\pi\)
\(314\) 20.7302 23.9239i 1.16987 1.35010i
\(315\) 0.873807 25.0888i 0.0492335 1.41359i
\(316\) −0.256100 0.164586i −0.0144068 0.00925867i
\(317\) −2.90177 + 0.417211i −0.162980 + 0.0234329i −0.223322 0.974745i \(-0.571690\pi\)
0.0603419 + 0.998178i \(0.480781\pi\)
\(318\) 16.9895 + 26.4362i 0.952724 + 1.48247i
\(319\) −5.89829 6.80699i −0.330241 0.381118i
\(320\) −11.4367 14.1664i −0.639333 0.791927i
\(321\) 20.2299 1.12912
\(322\) −3.91572 19.4193i −0.218215 1.08220i
\(323\) 7.39154i 0.411277i
\(324\) 0.210035 0.0616717i 0.0116686 0.00342621i
\(325\) −1.62387 + 23.2839i −0.0900759 + 1.29156i
\(326\) −7.60164 + 4.88528i −0.421016 + 0.270570i
\(327\) 15.1240 2.17450i 0.836358 0.120250i
\(328\) 10.2446 15.9410i 0.565666 0.880193i
\(329\) 11.3487 24.8503i 0.625676 1.37004i
\(330\) −12.2980 4.08108i −0.676984 0.224656i
\(331\) −1.19997 + 8.34600i −0.0659565 + 0.458738i 0.929901 + 0.367810i \(0.119892\pi\)
−0.995857 + 0.0909277i \(0.971017\pi\)
\(332\) −0.227984 + 0.104117i −0.0125123 + 0.00571416i
\(333\) 0.245129 0.834834i 0.0134330 0.0457486i
\(334\) 13.1388 + 3.85789i 0.718921 + 0.211094i
\(335\) 17.2632 + 16.0441i 0.943190 + 0.876583i
\(336\) 4.29664 29.8838i 0.234401 1.63029i
\(337\) −2.58459 2.23956i −0.140792 0.121997i 0.581618 0.813462i \(-0.302420\pi\)
−0.722410 + 0.691465i \(0.756965\pi\)
\(338\) 11.2041 + 5.11672i 0.609421 + 0.278313i
\(339\) −19.9503 12.8213i −1.08355 0.696355i
\(340\) 0.0557864 + 0.0938335i 0.00302544 + 0.00508884i
\(341\) 8.19728 5.26808i 0.443908 0.285282i
\(342\) −22.5621 + 19.5502i −1.22002 + 1.05715i
\(343\) 4.40888 + 15.0153i 0.238057 + 0.810748i
\(344\) 17.6690 0.952649
\(345\) 0.597573 + 27.9743i 0.0321723 + 1.50609i
\(346\) 12.6046 0.677628
\(347\) 2.04586 + 6.96754i 0.109827 + 0.374037i 0.996004 0.0893103i \(-0.0284663\pi\)
−0.886177 + 0.463348i \(0.846648\pi\)
\(348\) −0.414099 + 0.358818i −0.0221980 + 0.0192347i
\(349\) 29.2341 18.7876i 1.56487 1.00568i 0.583825 0.811879i \(-0.301555\pi\)
0.981041 0.193799i \(-0.0620810\pi\)
\(350\) −16.5559 12.3479i −0.884950 0.660024i
\(351\) 8.27926 + 5.32076i 0.441914 + 0.284001i
\(352\) 0.301401 + 0.137645i 0.0160648 + 0.00733653i
\(353\) −18.0897 15.6748i −0.962815 0.834284i 0.0234042 0.999726i \(-0.492550\pi\)
−0.986220 + 0.165442i \(0.947095\pi\)
\(354\) −6.06950 + 42.2143i −0.322590 + 2.24367i
\(355\) 11.3913 12.2569i 0.604590 0.650529i
\(356\) 0.278964 + 0.0819113i 0.0147851 + 0.00434129i
\(357\) −2.86288 + 9.75007i −0.151520 + 0.516028i
\(358\) −17.3017 + 7.90142i −0.914423 + 0.417603i
\(359\) 1.74258 12.1199i 0.0919697 0.639663i −0.890740 0.454512i \(-0.849814\pi\)
0.982710 0.185151i \(-0.0592773\pi\)
\(360\) −7.65392 + 23.0645i −0.403397 + 1.21561i
\(361\) 5.11361 11.1972i 0.269137 0.589328i
\(362\) 2.37512 3.69575i 0.124833 0.194244i
\(363\) −21.9201 + 3.15163i −1.15051 + 0.165418i
\(364\) 0.427884 0.274984i 0.0224272 0.0144131i
\(365\) 0.610482 + 0.304910i 0.0319541 + 0.0159597i
\(366\) −11.6254 + 3.41351i −0.607667 + 0.178427i
\(367\) 0.210443i 0.0109850i −0.999985 0.00549251i \(-0.998252\pi\)
0.999985 0.00549251i \(-0.00174833\pi\)
\(368\) −1.62848 + 18.7517i −0.0848903 + 0.977501i
\(369\) −25.2836 −1.31621
\(370\) −0.449655 0.556978i −0.0233765 0.0289559i
\(371\) −16.5961 19.1529i −0.861626 0.994369i
\(372\) −0.320480 0.498676i −0.0166161 0.0258551i
\(373\) 11.2723 1.62071i 0.583655 0.0839170i 0.155839 0.987783i \(-0.450192\pi\)
0.427817 + 0.903866i \(0.359283\pi\)
\(374\) 2.46802 + 1.58610i 0.127618 + 0.0820154i
\(375\) 19.9349 + 21.2979i 1.02943 + 1.09982i
\(376\) −17.3182 + 19.9862i −0.893115 + 1.03071i
\(377\) 26.2551 + 3.77491i 1.35220 + 0.194418i
\(378\) −7.92164 + 3.61769i −0.407445 + 0.186074i
\(379\) 8.35975 + 2.45465i 0.429412 + 0.126087i 0.489294 0.872119i \(-0.337254\pi\)
−0.0598825 + 0.998205i \(0.519073\pi\)
\(380\) −0.0498360 0.459713i −0.00255653 0.0235828i
\(381\) 6.86179 + 15.0252i 0.351540 + 0.769766i
\(382\) 1.91833 + 0.275814i 0.0981503 + 0.0141119i
\(383\) −6.13203 5.31344i −0.313332 0.271504i 0.483969 0.875085i \(-0.339195\pi\)
−0.797302 + 0.603581i \(0.793740\pi\)
\(384\) −11.9122 + 26.0840i −0.607890 + 1.33109i
\(385\) 10.2854 + 1.84628i 0.524190 + 0.0940952i
\(386\) −0.524239 3.64616i −0.0266831 0.185585i
\(387\) −12.7459 19.8331i −0.647912 1.00817i
\(388\) 0.158497 0.137338i 0.00804646 0.00697230i
\(389\) −29.3900 + 8.62967i −1.49013 + 0.437542i −0.922583 0.385799i \(-0.873926\pi\)
−0.567548 + 0.823341i \(0.692108\pi\)
\(390\) 35.2416 14.6341i 1.78453 0.741027i
\(391\) 1.44074 6.16920i 0.0728616 0.311990i
\(392\) 4.82887i 0.243895i
\(393\) 3.53183 + 12.0283i 0.178157 + 0.606747i
\(394\) −12.8270 14.8032i −0.646215 0.745772i
\(395\) 15.1391 + 10.4914i 0.761732 + 0.527881i
\(396\) −0.0317474 0.220808i −0.00159537 0.0110960i
\(397\) 14.0670 21.8887i 0.706004 1.09856i −0.284177 0.958772i \(-0.591720\pi\)
0.990181 0.139792i \(-0.0446434\pi\)
\(398\) 17.2960 + 7.89883i 0.866972 + 0.395933i
\(399\) 28.1876 32.5302i 1.41114 1.62855i
\(400\) 11.7878 + 15.6887i 0.589389 + 0.784433i
\(401\) −13.4921 29.5435i −0.673762 1.47533i −0.869120 0.494601i \(-0.835314\pi\)
0.195358 0.980732i \(-0.437413\pi\)
\(402\) 10.8553 36.9698i 0.541414 1.84389i
\(403\) −8.08461 + 27.5336i −0.402723 + 1.37155i
\(404\) −0.0804412 0.176142i −0.00400210 0.00876338i
\(405\) −12.8302 + 3.28680i −0.637536 + 0.163323i
\(406\) −15.3706 + 17.7386i −0.762828 + 0.880351i
\(407\) 0.329449 + 0.150454i 0.0163302 + 0.00745774i
\(408\) 5.31816 8.27523i 0.263288 0.409685i
\(409\) −2.99322 20.8183i −0.148005 1.02940i −0.919479 0.393138i \(-0.871389\pi\)
0.771474 0.636261i \(-0.219520\pi\)
\(410\) −11.8483 + 17.0971i −0.585148 + 0.844367i
\(411\) −7.80611 9.00873i −0.385047 0.444368i
\(412\) 0.194111 + 0.661082i 0.00956317 + 0.0325692i
\(413\) 34.3944i 1.69244i
\(414\) 22.6417 11.9194i 1.11278 0.585805i
\(415\) 14.0049 5.81556i 0.687475 0.285475i
\(416\) −0.936268 + 0.274913i −0.0459043 + 0.0134787i
\(417\) −30.0038 + 25.9984i −1.46929 + 1.27315i
\(418\) −6.71852 10.4542i −0.328614 0.511333i
\(419\) 1.82939 + 12.7237i 0.0893716 + 0.621593i 0.984447 + 0.175679i \(0.0562122\pi\)
−0.895076 + 0.445914i \(0.852879\pi\)
\(420\) 0.112317 0.625702i 0.00548052 0.0305311i
\(421\) −10.5373 + 23.0735i −0.513558 + 1.12453i 0.458264 + 0.888816i \(0.348471\pi\)
−0.971821 + 0.235718i \(0.924256\pi\)
\(422\) 6.71997 + 5.82288i 0.327123 + 0.283454i
\(423\) 34.9269 + 5.02173i 1.69820 + 0.244165i
\(424\) 10.1912 + 22.3156i 0.494929 + 1.08374i
\(425\) −3.17565 5.79137i −0.154042 0.280923i
\(426\) −26.2486 7.70729i −1.27175 0.373419i
\(427\) 8.88823 4.05912i 0.430132 0.196435i
\(428\) 0.283622 + 0.0407787i 0.0137094 + 0.00197111i
\(429\) −12.6433 + 14.5911i −0.610424 + 0.704466i
\(430\) −19.3844 0.675132i −0.934798 0.0325577i
\(431\) 16.3004 + 10.4756i 0.785163 + 0.504594i 0.870743 0.491738i \(-0.163638\pi\)
−0.0855803 + 0.996331i \(0.527274\pi\)
\(432\) 8.19012 1.17756i 0.394047 0.0566554i
\(433\) −4.18197 6.50727i −0.200973 0.312720i 0.726109 0.687580i \(-0.241327\pi\)
−0.927081 + 0.374860i \(0.877691\pi\)
\(434\) −16.6286 19.1904i −0.798198 0.921170i
\(435\) 25.7952 20.8248i 1.23678 0.998471i
\(436\) 0.216421 0.0103647
\(437\) −16.4069 + 21.2352i −0.784849 + 1.01582i
\(438\) 1.11564i 0.0533073i
\(439\) 23.5703 6.92087i 1.12495 0.330315i 0.334229 0.942492i \(-0.391524\pi\)
0.790721 + 0.612177i \(0.209706\pi\)
\(440\) −9.04966 4.51992i −0.431425 0.215479i
\(441\) 5.42030 3.48342i 0.258110 0.165877i
\(442\) −8.55181 + 1.22956i −0.406768 + 0.0584844i
\(443\) −14.9111 + 23.2021i −0.708446 + 1.10236i 0.281313 + 0.959616i \(0.409230\pi\)
−0.989759 + 0.142748i \(0.954406\pi\)
\(444\) 0.00915277 0.0200418i 0.000434371 0.000951140i
\(445\) −16.6958 5.54047i −0.791456 0.262644i
\(446\) 1.92177 13.3662i 0.0909985 0.632909i
\(447\) 23.4721 10.7194i 1.11019 0.507008i
\(448\) 6.76308 23.0329i 0.319526 1.08820i
\(449\) −29.4956 8.66069i −1.39198 0.408723i −0.502059 0.864833i \(-0.667424\pi\)
−0.889923 + 0.456110i \(0.849242\pi\)
\(450\) 9.27829 25.0112i 0.437383 1.17904i
\(451\) 1.49780 10.4174i 0.0705284 0.490536i
\(452\) −0.253857 0.219968i −0.0119404 0.0103464i
\(453\) −43.0027 19.6387i −2.02044 0.922705i
\(454\) −22.1239 14.2181i −1.03832 0.667291i
\(455\) −26.4522 + 15.7265i −1.24010 + 0.737270i
\(456\) −35.0528 + 22.5271i −1.64150 + 1.05493i
\(457\) 6.82146 5.91082i 0.319094 0.276497i −0.480554 0.876965i \(-0.659565\pi\)
0.799649 + 0.600468i \(0.205019\pi\)
\(458\) −6.55621 22.3284i −0.306352 1.04334i
\(459\) −2.78497 −0.129991
\(460\) −0.0480117 + 0.393403i −0.00223856 + 0.0183425i
\(461\) 30.1893 1.40606 0.703028 0.711162i \(-0.251831\pi\)
0.703028 + 0.711162i \(0.251831\pi\)
\(462\) −4.81319 16.3922i −0.223930 0.762635i
\(463\) 21.9850 19.0501i 1.02173 0.885332i 0.0282782 0.999600i \(-0.490998\pi\)
0.993450 + 0.114268i \(0.0364521\pi\)
\(464\) 18.7608 12.0568i 0.870949 0.559725i
\(465\) 18.3284 + 30.8286i 0.849959 + 1.42964i
\(466\) −15.9214 10.2320i −0.737544 0.473990i
\(467\) −19.4254 8.87127i −0.898899 0.410513i −0.0882857 0.996095i \(-0.528139\pi\)
−0.810613 + 0.585582i \(0.800866\pi\)
\(468\) 0.496495 + 0.430215i 0.0229505 + 0.0198867i
\(469\) −4.42222 + 30.7572i −0.204199 + 1.42024i
\(470\) 19.7631 21.2648i 0.911605 0.980873i
\(471\) −56.5641 16.6087i −2.60634 0.765289i
\(472\) −9.38020 + 31.9460i −0.431758 + 1.47043i
\(473\) 8.92673 4.07670i 0.410451 0.187447i
\(474\) 4.28557 29.8068i 0.196843 1.36907i
\(475\) 2.04530 + 27.9026i 0.0938449 + 1.28026i
\(476\) −0.0597912 + 0.130925i −0.00274053 + 0.00600092i
\(477\) 17.6971 27.5373i 0.810297 1.26085i
\(478\) −5.42400 + 0.779853i −0.248088 + 0.0356696i
\(479\) 21.8930 14.0698i 1.00032 0.642865i 0.0654482 0.997856i \(-0.479152\pi\)
0.934870 + 0.354991i \(0.115516\pi\)
\(480\) −0.544943 + 1.09107i −0.0248731 + 0.0498003i
\(481\) −1.02339 + 0.300495i −0.0466627 + 0.0137014i
\(482\) 13.6584i 0.622123i
\(483\) −29.8669 + 21.6564i −1.35899 + 0.985399i
\(484\) −0.313671 −0.0142578
\(485\) −9.87315 + 7.97072i −0.448317 + 0.361932i
\(486\) 19.9830 + 23.0616i 0.906447 + 1.04610i
\(487\) 8.74048 + 13.6005i 0.396069 + 0.616295i 0.980820 0.194918i \(-0.0624440\pi\)
−0.584751 + 0.811213i \(0.698808\pi\)
\(488\) −9.36254 + 1.34613i −0.423822 + 0.0609364i
\(489\) 14.1564 + 9.09775i 0.640174 + 0.411415i
\(490\) 0.184511 5.29768i 0.00833536 0.239325i
\(491\) −11.1213 + 12.8347i −0.501899 + 0.579223i −0.949006 0.315258i \(-0.897909\pi\)
0.447107 + 0.894481i \(0.352454\pi\)
\(492\) −0.633735 0.0911173i −0.0285710 0.00410788i
\(493\) −6.82776 + 3.11813i −0.307507 + 0.140434i
\(494\) 35.1144 + 10.3105i 1.57987 + 0.463893i
\(495\) 1.45467 + 13.4186i 0.0653824 + 0.603120i
\(496\) 10.0224 + 21.9461i 0.450020 + 0.985407i
\(497\) 21.8377 + 3.13978i 0.979553 + 0.140839i
\(498\) −18.7367 16.2354i −0.839611 0.727527i
\(499\) −8.55147 + 18.7251i −0.382816 + 0.838251i 0.615911 + 0.787816i \(0.288788\pi\)
−0.998727 + 0.0504351i \(0.983939\pi\)
\(500\) 0.236555 + 0.338779i 0.0105791 + 0.0151507i
\(501\) −3.62917 25.2415i −0.162139 1.12770i
\(502\) 13.0288 + 20.2731i 0.581502 + 0.904834i
\(503\) −4.26993 + 3.69991i −0.190387 + 0.164971i −0.744838 0.667245i \(-0.767473\pi\)
0.554452 + 0.832216i \(0.312928\pi\)
\(504\) −30.7430 + 9.02695i −1.36940 + 0.402092i
\(505\) 4.49313 + 10.8203i 0.199942 + 0.481495i
\(506\) 3.56976 + 10.0350i 0.158695 + 0.446108i
\(507\) 22.9380i 1.01871i
\(508\) 0.0659147 + 0.224485i 0.00292449 + 0.00995990i
\(509\) −23.0053 26.5496i −1.01969 1.17679i −0.984135 0.177421i \(-0.943225\pi\)
−0.0355580 0.999368i \(-0.511321\pi\)
\(510\) −6.15067 + 8.87541i −0.272356 + 0.393010i
\(511\) 0.128044 + 0.890564i 0.00566432 + 0.0393962i
\(512\) −12.5549 + 19.5359i −0.554855 + 0.863372i
\(513\) 10.7307 + 4.90056i 0.473773 + 0.216365i
\(514\) 8.15743 9.41418i 0.359809 0.415242i
\(515\) −10.3452 40.3828i −0.455863 1.77948i
\(516\) −0.248003 0.543051i −0.0109177 0.0239065i
\(517\) −4.13813 + 14.0932i −0.181995 + 0.619817i
\(518\) 0.265903 0.905581i 0.0116831 0.0397889i
\(519\) −9.75117 21.3521i −0.428029 0.937252i
\(520\) 28.8582 7.39283i 1.26552 0.324197i
\(521\) 6.79035 7.83648i 0.297491 0.343323i −0.587250 0.809405i \(-0.699790\pi\)
0.884741 + 0.466083i \(0.154335\pi\)
\(522\) −27.5768 12.5939i −1.20701 0.551221i
\(523\) −21.3504 + 33.2219i −0.933589 + 1.45269i −0.0423796 + 0.999102i \(0.513494\pi\)
−0.891210 + 0.453592i \(0.850142\pi\)
\(524\) 0.0252698 + 0.175755i 0.00110392 + 0.00767791i
\(525\) −8.10927 + 37.5981i −0.353918 + 1.64092i
\(526\) 2.37990 + 2.74655i 0.103769 + 0.119755i
\(527\) −2.28779 7.79148i −0.0996575 0.339402i
\(528\) 16.2323i 0.706420i
\(529\) 17.8328 14.5255i 0.775339 0.631545i
\(530\) −10.3279 24.8715i −0.448617 1.08035i
\(531\) 42.6253 12.5159i 1.84978 0.543145i
\(532\) 0.460761 0.399252i 0.0199765 0.0173098i
\(533\) 16.7568 + 26.0740i 0.725816 + 1.12939i
\(534\) 4.09291 + 28.4668i 0.177118 + 1.23188i
\(535\) −17.0640 3.06310i −0.737743 0.132429i
\(536\) 12.4957 27.3617i 0.539731 1.18185i
\(537\) 26.7698 + 23.1962i 1.15520 + 1.00099i
\(538\) −3.80269 0.546744i −0.163945 0.0235718i
\(539\) 1.11415 + 2.43964i 0.0479897 + 0.105083i
\(540\) 0.173210 0.0187771i 0.00745376 0.000808038i
\(541\) 4.70539 + 1.38163i 0.202300 + 0.0594007i 0.381313 0.924446i \(-0.375472\pi\)
−0.179013 + 0.983847i \(0.557290\pi\)
\(542\) −17.6647 + 8.06721i −0.758765 + 0.346516i
\(543\) −8.09800 1.16432i −0.347519 0.0499656i
\(544\) 0.180827 0.208686i 0.00775290 0.00894732i
\(545\) −13.0864 0.455783i −0.560561 0.0195236i
\(546\) 42.3254 + 27.2009i 1.81136 + 1.16409i
\(547\) 19.3788 2.78626i 0.828579 0.119132i 0.285040 0.958516i \(-0.407993\pi\)
0.543539 + 0.839384i \(0.317084\pi\)
\(548\) −0.0912818 0.142037i −0.00389936 0.00606753i
\(549\) 8.26488 + 9.53818i 0.352736 + 0.407079i
\(550\) 9.75553 + 5.30452i 0.415977 + 0.226185i
\(551\) 31.7947 1.35450
\(552\) 33.6470 11.9693i 1.43211 0.509448i
\(553\) 24.2853i 1.03272i
\(554\) −3.93860 + 1.15648i −0.167335 + 0.0491340i
\(555\) −0.595653 + 1.19260i −0.0252841 + 0.0506231i
\(556\) −0.473058 + 0.304016i −0.0200621 + 0.0128932i
\(557\) 20.7623 2.98516i 0.879725 0.126485i 0.312372 0.949960i \(-0.398876\pi\)
0.567353 + 0.823474i \(0.307967\pi\)
\(558\) 17.7318 27.5913i 0.750648 1.16803i
\(559\) −12.0057 + 26.2888i −0.507787 + 1.11190i
\(560\) −8.14907 + 24.5566i −0.344361 + 1.03770i
\(561\) 0.777531 5.40784i 0.0328274 0.228319i
\(562\) −31.1611 + 14.2308i −1.31445 + 0.600289i
\(563\) 0.692647 2.35894i 0.0291916 0.0994174i −0.943609 0.331063i \(-0.892593\pi\)
0.972800 + 0.231645i \(0.0744109\pi\)
\(564\) 0.857348 + 0.251740i 0.0361009 + 0.0106002i
\(565\) 14.8868 + 13.8356i 0.626294 + 0.582067i
\(566\) −3.96998 + 27.6118i −0.166871 + 1.16061i
\(567\) −13.1974 11.4356i −0.554237 0.480249i
\(568\) −19.4268 8.87194i −0.815132 0.372258i
\(569\) −4.13174 2.65531i −0.173212 0.111316i 0.451162 0.892442i \(-0.351010\pi\)
−0.624374 + 0.781126i \(0.714646\pi\)
\(570\) 39.3166 23.3747i 1.64679 0.979059i
\(571\) −6.45163 + 4.14621i −0.269992 + 0.173514i −0.668631 0.743595i \(-0.733119\pi\)
0.398638 + 0.917108i \(0.369483\pi\)
\(572\) −0.206670 + 0.179081i −0.00864133 + 0.00748775i
\(573\) −1.01683 3.46301i −0.0424787 0.144669i
\(574\) −27.4262 −1.14475
\(575\) 3.73166 23.6870i 0.155621 0.987817i
\(576\) 31.0060 1.29192
\(577\) −9.77699 33.2974i −0.407021 1.38619i −0.867022 0.498269i \(-0.833969\pi\)
0.460001 0.887918i \(-0.347849\pi\)
\(578\) −16.1531 + 13.9967i −0.671880 + 0.582187i
\(579\) −5.77100 + 3.70880i −0.239835 + 0.154132i
\(580\) 0.403625 0.239965i 0.0167596 0.00996401i
\(581\) 16.8200 + 10.8096i 0.697812 + 0.448457i
\(582\) 18.8705 + 8.61788i 0.782209 + 0.357223i
\(583\) 10.2976 + 8.92292i 0.426483 + 0.369550i
\(584\) 0.123950 0.862089i 0.00512908 0.0356735i
\(585\) −29.1158 27.0597i −1.20379 1.11878i
\(586\) 15.0794 + 4.42770i 0.622923 + 0.182907i
\(587\) 6.36972 21.6933i 0.262906 0.895377i −0.717194 0.696874i \(-0.754574\pi\)
0.980100 0.198503i \(-0.0636080\pi\)
\(588\) 0.148414 0.0677783i 0.00612048 0.00279513i
\(589\) −4.89521 + 34.0469i −0.201704 + 1.40288i
\(590\) 11.5115 34.6890i 0.473922 1.42813i
\(591\) −15.1532 + 33.1808i −0.623318 + 1.36488i
\(592\) −0.484818 + 0.754391i −0.0199259 + 0.0310053i
\(593\) −13.3866 + 1.92471i −0.549723 + 0.0790383i −0.411579 0.911374i \(-0.635023\pi\)
−0.138144 + 0.990412i \(0.544114\pi\)
\(594\) 3.93892 2.53139i 0.161616 0.103864i
\(595\) 3.89116 7.79077i 0.159522 0.319390i
\(596\) 0.350686 0.102971i 0.0143646 0.00421784i
\(597\) 35.4100i 1.44923i
\(598\) −27.2978 15.4499i −1.11629 0.631793i
\(599\) 24.1718 0.987634 0.493817 0.869566i \(-0.335601\pi\)
0.493817 + 0.869566i \(0.335601\pi\)
\(600\) 17.7859 32.7101i 0.726108 1.33538i
\(601\) 3.63800 + 4.19847i 0.148397 + 0.171259i 0.825081 0.565014i \(-0.191129\pi\)
−0.676684 + 0.736273i \(0.736584\pi\)
\(602\) −13.8261 21.5138i −0.563509 0.876836i
\(603\) −39.7269 + 5.71187i −1.61781 + 0.232605i
\(604\) −0.563308 0.362016i −0.0229207 0.0147302i
\(605\) 18.9669 + 0.660592i 0.771115 + 0.0268569i
\(606\) 12.5436 14.4760i 0.509547 0.588049i
\(607\) 13.6988 + 1.96959i 0.556016 + 0.0799431i 0.414594 0.910006i \(-0.363923\pi\)
0.141422 + 0.989949i \(0.454833\pi\)
\(608\) −1.06396 + 0.485892i −0.0431491 + 0.0197055i
\(609\) 41.9399 + 12.3147i 1.69949 + 0.499016i
\(610\) 10.3229 1.11907i 0.417963 0.0453100i
\(611\) −17.9692 39.3470i −0.726955 1.59181i
\(612\) −0.184014 0.0264572i −0.00743831 0.00106947i
\(613\) −2.55345 2.21258i −0.103133 0.0893651i 0.601768 0.798671i \(-0.294463\pi\)
−0.704901 + 0.709306i \(0.749009\pi\)
\(614\) −4.42484 + 9.68906i −0.178572 + 0.391019i
\(615\) 38.1285 + 6.84428i 1.53749 + 0.275988i
\(616\) −1.89809 13.2015i −0.0764764 0.531905i
\(617\) 20.9757 + 32.6389i 0.844451 + 1.31399i 0.947643 + 0.319331i \(0.103458\pi\)
−0.103192 + 0.994661i \(0.532906\pi\)
\(618\) −51.5070 + 44.6311i −2.07192 + 1.79533i
\(619\) 2.59883 0.763087i 0.104456 0.0306710i −0.229087 0.973406i \(-0.573574\pi\)
0.333543 + 0.942735i \(0.391756\pi\)
\(620\) 0.194820 + 0.469162i 0.00782416 + 0.0188420i
\(621\) −8.00097 6.18176i −0.321068 0.248066i
\(622\) 24.1785i 0.969471i
\(623\) −6.53437 22.2540i −0.261794 0.891589i
\(624\) −31.3046 36.1274i −1.25319 1.44625i
\(625\) −13.5904 20.9833i −0.543617 0.839334i
\(626\) −0.540786 3.76125i −0.0216142 0.150330i
\(627\) −12.5118 + 19.4687i −0.499672 + 0.777505i
\(628\) −0.759546 0.346873i −0.0303092 0.0138418i
\(629\) 0.197654 0.228105i 0.00788099 0.00909515i
\(630\) 34.0725 8.72864i 1.35748 0.347757i
\(631\) −16.5157 36.1643i −0.657480 1.43968i −0.884852 0.465872i \(-0.845741\pi\)
0.227373 0.973808i \(-0.426986\pi\)
\(632\) 6.62319 22.5565i 0.263456 0.897250i
\(633\) 4.66521 15.8883i 0.185426 0.631501i
\(634\) −1.70629 3.73626i −0.0677655 0.148386i
\(635\) −3.51293 13.7129i −0.139406 0.544178i
\(636\) 0.542819 0.626447i 0.0215242 0.0248402i
\(637\) −7.18464 3.28111i −0.284666 0.130002i
\(638\) 6.82262 10.6162i 0.270110 0.420299i
\(639\) 4.05544 + 28.2062i 0.160431 + 1.11582i
\(640\) 13.9975 20.1983i 0.553299 0.798410i
\(641\) −6.33688 7.31315i −0.250292 0.288852i 0.616675 0.787218i \(-0.288479\pi\)
−0.866967 + 0.498366i \(0.833934\pi\)
\(642\) 7.98538 + 27.1957i 0.315158 + 1.07333i
\(643\) 32.3558i 1.27599i −0.770041 0.637994i \(-0.779765\pi\)
0.770041 0.637994i \(-0.220235\pi\)
\(644\) −0.462386 + 0.243417i −0.0182206 + 0.00959196i
\(645\) 13.8525 + 33.3592i 0.545440 + 1.31352i
\(646\) −9.93669 + 2.91768i −0.390954 + 0.114794i
\(647\) 16.6254 14.4060i 0.653611 0.566357i −0.263662 0.964615i \(-0.584930\pi\)
0.917274 + 0.398258i \(0.130385\pi\)
\(648\) 9.13914 + 14.2208i 0.359019 + 0.558645i
\(649\) 2.63172 + 18.3040i 0.103304 + 0.718495i
\(650\) −31.9423 + 7.00789i −1.25288 + 0.274872i
\(651\) −19.6442 + 43.0148i −0.769916 + 1.68588i
\(652\) 0.180133 + 0.156086i 0.00705454 + 0.00611280i
\(653\) 2.06514 + 0.296923i 0.0808152 + 0.0116195i 0.182604 0.983187i \(-0.441547\pi\)
−0.101789 + 0.994806i \(0.532457\pi\)
\(654\) 8.89317 + 19.4733i 0.347750 + 0.761467i
\(655\) −1.15786 10.6807i −0.0452414 0.417330i
\(656\) 25.0030 + 7.34153i 0.976202 + 0.286639i
\(657\) −1.05709 + 0.482757i −0.0412410 + 0.0188341i
\(658\) 37.8867 + 5.44729i 1.47698 + 0.212358i
\(659\) 2.87363 3.31634i 0.111941 0.129186i −0.697014 0.717058i \(-0.745488\pi\)
0.808954 + 0.587871i \(0.200034\pi\)
\(660\) −0.0118968 + 0.341580i −0.000463081 + 0.0132960i
\(661\) −18.4504 11.8574i −0.717639 0.461199i 0.130176 0.991491i \(-0.458446\pi\)
−0.847815 + 0.530292i \(0.822082\pi\)
\(662\) −11.6935 + 1.68127i −0.454480 + 0.0653443i
\(663\) 8.69871 + 13.5355i 0.337830 + 0.525674i
\(664\) −12.6746 14.6273i −0.491871 0.567650i
\(665\) −28.7019 + 23.1714i −1.11301 + 0.898549i
\(666\) 1.21906 0.0472374
\(667\) −26.5368 6.19737i −1.02751 0.239963i
\(668\) 0.361199i 0.0139752i
\(669\) −24.1290 + 7.08490i −0.932879 + 0.273918i
\(670\) −14.7543 + 29.5406i −0.570008 + 1.14125i
\(671\) −4.41955 + 2.84027i −0.170615 + 0.109647i
\(672\) −1.59164 + 0.228843i −0.0613989 + 0.00882783i
\(673\) 17.8662 27.8003i 0.688690 1.07162i −0.304202 0.952608i \(-0.598390\pi\)
0.992892 0.119016i \(-0.0379738\pi\)
\(674\) 1.99050 4.35858i 0.0766711 0.167886i
\(675\) −10.5131 + 0.770625i −0.404650 + 0.0296614i
\(676\) 0.0462375 0.321589i 0.00177837 0.0123688i
\(677\) 28.8393 13.1705i 1.10838 0.506182i 0.224777 0.974410i \(-0.427835\pi\)
0.883608 + 0.468228i \(0.155107\pi\)
\(678\) 9.36103 31.8807i 0.359508 1.22437i
\(679\) −16.0526 4.71346i −0.616042 0.180886i
\(680\) −5.73889 + 6.17496i −0.220077 + 0.236799i
\(681\) −6.96995 + 48.4770i −0.267089 + 1.85764i
\(682\) 10.3178 + 8.94040i 0.395088 + 0.342346i
\(683\) 14.1586 + 6.46599i 0.541762 + 0.247414i 0.667449 0.744656i \(-0.267386\pi\)
−0.125687 + 0.992070i \(0.540114\pi\)
\(684\) 0.662465 + 0.425741i 0.0253300 + 0.0162786i
\(685\) 5.22045 + 8.78088i 0.199463 + 0.335500i
\(686\) −18.4452 + 11.8540i −0.704240 + 0.452588i
\(687\) −32.7521 + 28.3798i −1.24957 + 1.08276i
\(688\) 6.84559 + 23.3139i 0.260986 + 0.888836i
\(689\) −40.1270 −1.52872
\(690\) −37.3709 + 11.8457i −1.42269 + 0.450958i
\(691\) −42.2733 −1.60815 −0.804076 0.594527i \(-0.797339\pi\)
−0.804076 + 0.594527i \(0.797339\pi\)
\(692\) −0.0936701 0.319011i −0.00356080 0.0121270i
\(693\) −13.4492 + 11.6538i −0.510893 + 0.442691i
\(694\) −8.55913 + 5.50062i −0.324900 + 0.208801i
\(695\) 29.2449 17.3868i 1.10932 0.659520i
\(696\) −35.5959 22.8761i −1.34926 0.867116i
\(697\) −7.97817 3.64351i −0.302195 0.138008i
\(698\) 36.7964 + 31.8843i 1.39277 + 1.20684i
\(699\) −5.01590 + 34.8864i −0.189719 + 1.31952i
\(700\) −0.189481 + 0.510777i −0.00716169 + 0.0193056i
\(701\) 41.6290 + 12.2234i 1.57231 + 0.461671i 0.947672 0.319246i \(-0.103430\pi\)
0.624635 + 0.780917i \(0.285248\pi\)
\(702\) −3.88478 + 13.2303i −0.146622 + 0.499347i
\(703\) −1.16296 + 0.531107i −0.0438620 + 0.0200311i
\(704\) −1.83679 + 12.7751i −0.0692266 + 0.481481i
\(705\) −51.3115 17.0277i −1.93250 0.641299i
\(706\) 13.9316 30.5058i 0.524321 1.14810i
\(707\) −8.35152 + 12.9952i −0.314091 + 0.488736i
\(708\) 1.11351 0.160099i 0.0418483 0.00601688i
\(709\) 30.2132 19.4168i 1.13468 0.729215i 0.168148 0.985762i \(-0.446221\pi\)
0.966532 + 0.256547i \(0.0825849\pi\)
\(710\) 20.9739 + 10.4756i 0.787136 + 0.393141i
\(711\) −30.0970 + 8.83727i −1.12873 + 0.331424i
\(712\) 22.4519i 0.841422i
\(713\) 10.7220 27.4624i 0.401544 1.02847i
\(714\) −14.2374 −0.532821
\(715\) 12.8740 10.3933i 0.481460 0.388689i
\(716\) 0.328554 + 0.379171i 0.0122786 + 0.0141703i
\(717\) 5.51717 + 8.58489i 0.206043 + 0.320608i
\(718\) 16.9810 2.44150i 0.633725 0.0911160i
\(719\) 0.284312 + 0.182716i 0.0106030 + 0.00681416i 0.545932 0.837830i \(-0.316176\pi\)
−0.535329 + 0.844644i \(0.679812\pi\)
\(720\) −33.3986 1.16323i −1.24469 0.0433509i
\(721\) 35.9934 41.5386i 1.34046 1.54698i
\(722\) 17.0713 + 2.45448i 0.635329 + 0.0913465i
\(723\) 23.1372 10.5664i 0.860481 0.392968i
\(724\) −0.111187 0.0326473i −0.00413222 0.00121333i
\(725\) −24.9116 + 13.6601i −0.925193 + 0.507322i
\(726\) −12.8894 28.2238i −0.478370 1.04748i
\(727\) −3.30099 0.474610i −0.122427 0.0176023i 0.0808290 0.996728i \(-0.474243\pi\)
−0.203256 + 0.979126i \(0.565152\pi\)
\(728\) 29.6841 + 25.7214i 1.10017 + 0.953300i
\(729\) 16.2253 35.5284i 0.600936 1.31587i
\(730\) −0.168924 + 0.941048i −0.00625215 + 0.0348298i
\(731\) −1.16389 8.09503i −0.0430480 0.299405i
\(732\) 0.172786 + 0.268860i 0.00638635 + 0.00993735i
\(733\) −28.7160 + 24.8826i −1.06065 + 0.919060i −0.996882 0.0789050i \(-0.974858\pi\)
−0.0637693 + 0.997965i \(0.520312\pi\)
\(734\) 0.282905 0.0830684i 0.0104422 0.00306611i
\(735\) −9.11696 + 3.78583i −0.336284 + 0.139642i
\(736\) 0.982716 0.198155i 0.0362234 0.00730411i
\(737\) 16.7067i 0.615400i
\(738\) −9.98023 33.9896i −0.367377 1.25117i
\(739\) 10.3211 + 11.9112i 0.379668 + 0.438161i 0.913133 0.407662i \(-0.133656\pi\)
−0.533465 + 0.845822i \(0.679110\pi\)
\(740\) −0.0107550 + 0.0155195i −0.000395363 + 0.000570508i
\(741\) −9.69927 67.4599i −0.356312 2.47820i
\(742\) 19.1969 29.8709i 0.704739 1.09660i
\(743\) −23.4293 10.6998i −0.859538 0.392538i −0.0636434 0.997973i \(-0.520272\pi\)
−0.795895 + 0.605435i \(0.792999\pi\)
\(744\) 29.9770 34.5953i 1.09901 1.26832i
\(745\) −21.4220 + 5.48783i −0.784840 + 0.201059i
\(746\) 6.62828 + 14.5139i 0.242679 + 0.531392i
\(747\) −7.27570 + 24.7787i −0.266204 + 0.906607i
\(748\) 0.0218019 0.0742504i 0.000797155 0.00271486i
\(749\) −9.49567 20.7926i −0.346964 0.759746i
\(750\) −20.7625 + 35.2061i −0.758140 + 1.28554i
\(751\) −26.6918 + 30.8040i −0.973998 + 1.12405i 0.0182565 + 0.999833i \(0.494188\pi\)
−0.992255 + 0.124220i \(0.960357\pi\)
\(752\) −33.0811 15.1076i −1.20634 0.550919i
\(753\) 24.2632 37.7543i 0.884200 1.37584i
\(754\) 5.28897 + 36.7856i 0.192613 + 1.33965i
\(755\) 33.2994 + 23.0766i 1.21189 + 0.839842i
\(756\) 0.150429 + 0.173605i 0.00547107 + 0.00631395i
\(757\) −9.34741 31.8344i −0.339737 1.15704i −0.935337 0.353758i \(-0.884904\pi\)
0.595600 0.803281i \(-0.296915\pi\)
\(758\) 12.2072i 0.443386i
\(759\) 14.2375 13.8104i 0.516788 0.501285i
\(760\) 32.9782 13.6942i 1.19624 0.496742i
\(761\) −27.2664 + 8.00614i −0.988407 + 0.290222i −0.735690 0.677318i \(-0.763142\pi\)
−0.252716 + 0.967540i \(0.581324\pi\)
\(762\) −17.4903 + 15.1555i −0.633608 + 0.549025i
\(763\) −9.33400 14.5240i −0.337914 0.525804i
\(764\) −0.00727531 0.0506009i −0.000263211 0.00183068i
\(765\) 11.0711 + 1.98733i 0.400278 + 0.0718522i
\(766\) 4.72252 10.3409i 0.170632 0.373631i
\(767\) −41.1572 35.6629i −1.48610 1.28771i
\(768\) 2.28996 + 0.329247i 0.0826319 + 0.0118807i
\(769\) −4.94521 10.8285i −0.178329 0.390486i 0.799267 0.600976i \(-0.205221\pi\)
−0.977596 + 0.210490i \(0.932494\pi\)
\(770\) 1.57794 + 14.5557i 0.0568650 + 0.524552i
\(771\) −22.2583 6.53562i −0.801612 0.235375i
\(772\) −0.0883852 + 0.0403642i −0.00318105 + 0.00145274i
\(773\) −23.9836 3.44832i −0.862629