Properties

Label 585.2.bt.b.376.6
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 376.6
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.03176 - 1.17304i) q^{2} +(0.447750 + 1.67318i) q^{3} +(1.75203 + 3.03461i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.05298 - 3.92472i) q^{6} +(-2.60767 - 1.50554i) q^{7} -3.52864i q^{8} +(-2.59904 + 1.49833i) q^{9} +O(q^{10})\) \(q+(-2.03176 - 1.17304i) q^{2} +(0.447750 + 1.67318i) q^{3} +(1.75203 + 3.03461i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.05298 - 3.92472i) q^{6} +(-2.60767 - 1.50554i) q^{7} -3.52864i q^{8} +(-2.59904 + 1.49833i) q^{9} -2.34607 q^{10} +(4.21397 + 2.43294i) q^{11} +(-4.29296 + 4.29020i) q^{12} +(-3.56763 + 0.521530i) q^{13} +(3.53211 + 6.11780i) q^{14} +(1.22435 + 1.22514i) q^{15} +(-0.635160 + 1.10013i) q^{16} +3.52537 q^{17} +(7.03822 + 0.00452088i) q^{18} +1.76684i q^{19} +(3.03461 + 1.75203i) q^{20} +(1.35145 - 5.03721i) q^{21} +(-5.70785 - 9.88629i) q^{22} +(0.803384 + 1.39150i) q^{23} +(5.90403 - 1.57995i) q^{24} +(0.500000 - 0.866025i) q^{25} +(7.86035 + 3.12534i) q^{26} +(-3.67069 - 3.67777i) q^{27} -10.5510i q^{28} +(-4.11800 + 7.13259i) q^{29} +(-1.05046 - 3.92539i) q^{30} +(-3.57912 + 2.06641i) q^{31} +(-3.53079 + 2.03850i) q^{32} +(-2.18393 + 8.14007i) q^{33} +(-7.16270 - 4.13539i) q^{34} -3.01108 q^{35} +(-9.10044 - 5.26194i) q^{36} +4.97866i q^{37} +(2.07257 - 3.58980i) q^{38} +(-2.47002 - 5.73576i) q^{39} +(-1.76432 - 3.05589i) q^{40} +(-1.46032 + 0.843116i) q^{41} +(-8.65465 + 8.64909i) q^{42} +(-2.47744 + 4.29105i) q^{43} +17.0503i q^{44} +(-1.50167 + 2.59711i) q^{45} -3.76959i q^{46} +(-1.99000 - 1.14893i) q^{47} +(-2.12510 - 0.570152i) q^{48} +(1.03331 + 1.78975i) q^{49} +(-2.03176 + 1.17304i) q^{50} +(1.57848 + 5.89856i) q^{51} +(-7.83324 - 9.91262i) q^{52} +0.0235717 q^{53} +(3.14380 + 11.7782i) q^{54} +4.86588 q^{55} +(-5.31251 + 9.20154i) q^{56} +(-2.95624 + 0.791104i) q^{57} +(16.7336 - 9.66114i) q^{58} +(12.0954 - 6.98331i) q^{59} +(-1.57271 + 5.86190i) q^{60} +(-7.41416 + 12.8417i) q^{61} +9.69588 q^{62} +(9.03325 + 0.00580235i) q^{63} +12.1056 q^{64} +(-2.82890 + 2.23547i) q^{65} +(13.9858 - 13.9768i) q^{66} +(-12.2089 + 7.04883i) q^{67} +(6.17655 + 10.6981i) q^{68} +(-1.96851 + 1.96725i) q^{69} +(6.11780 + 3.53211i) q^{70} +10.4870i q^{71} +(5.28707 + 9.17107i) q^{72} -0.0924209i q^{73} +(5.84015 - 10.1154i) q^{74} +(1.67289 + 0.448825i) q^{75} +(-5.36167 + 3.09556i) q^{76} +(-7.32578 - 12.6886i) q^{77} +(-1.70977 + 14.5511i) q^{78} +(4.65227 - 8.05796i) q^{79} +1.27032i q^{80} +(4.51001 - 7.78844i) q^{81} +3.95603 q^{82} +(-4.07164 - 2.35076i) q^{83} +(17.6537 - 4.72422i) q^{84} +(3.05306 - 1.76268i) q^{85} +(10.0671 - 5.81226i) q^{86} +(-13.7779 - 3.69653i) q^{87} +(8.58496 - 14.8696i) q^{88} +16.2397i q^{89} +(6.09754 - 3.51519i) q^{90} +(10.0884 + 4.01124i) q^{91} +(-2.81511 + 4.87591i) q^{92} +(-5.06002 - 5.06327i) q^{93} +(2.69547 + 4.66869i) q^{94} +(0.883421 + 1.53013i) q^{95} +(-4.99169 - 4.99490i) q^{96} +(11.3656 + 6.56194i) q^{97} -4.84845i q^{98} +(-14.5976 - 0.00937653i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.03176 1.17304i −1.43667 0.829462i −0.439054 0.898461i \(-0.644686\pi\)
−0.997617 + 0.0689985i \(0.978020\pi\)
\(3\) 0.447750 + 1.67318i 0.258509 + 0.966009i
\(4\) 1.75203 + 3.03461i 0.876015 + 1.51730i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 1.05298 3.92472i 0.429876 1.60226i
\(7\) −2.60767 1.50554i −0.985608 0.569041i −0.0816498 0.996661i \(-0.526019\pi\)
−0.903959 + 0.427620i \(0.859352\pi\)
\(8\) 3.52864i 1.24756i
\(9\) −2.59904 + 1.49833i −0.866346 + 0.499444i
\(10\) −2.34607 −0.741894
\(11\) 4.21397 + 2.43294i 1.27056 + 0.733559i 0.975094 0.221794i \(-0.0711913\pi\)
0.295467 + 0.955353i \(0.404525\pi\)
\(12\) −4.29296 + 4.29020i −1.23927 + 1.23847i
\(13\) −3.56763 + 0.521530i −0.989483 + 0.144646i
\(14\) 3.53211 + 6.11780i 0.943997 + 1.63505i
\(15\) 1.22435 + 1.22514i 0.316126 + 0.316329i
\(16\) −0.635160 + 1.10013i −0.158790 + 0.275032i
\(17\) 3.52537 0.855027 0.427514 0.904009i \(-0.359390\pi\)
0.427514 + 0.904009i \(0.359390\pi\)
\(18\) 7.03822 + 0.00452088i 1.65892 + 0.00106558i
\(19\) 1.76684i 0.405341i 0.979247 + 0.202671i \(0.0649621\pi\)
−0.979247 + 0.202671i \(0.935038\pi\)
\(20\) 3.03461 + 1.75203i 0.678558 + 0.391766i
\(21\) 1.35145 5.03721i 0.294911 1.09921i
\(22\) −5.70785 9.88629i −1.21692 2.10776i
\(23\) 0.803384 + 1.39150i 0.167517 + 0.290148i 0.937546 0.347861i \(-0.113092\pi\)
−0.770029 + 0.638009i \(0.779758\pi\)
\(24\) 5.90403 1.57995i 1.20516 0.322506i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 7.86035 + 3.12534i 1.54154 + 0.612930i
\(27\) −3.67069 3.67777i −0.706425 0.707788i
\(28\) 10.5510i 1.99396i
\(29\) −4.11800 + 7.13259i −0.764694 + 1.32449i 0.175714 + 0.984441i \(0.443777\pi\)
−0.940408 + 0.340048i \(0.889557\pi\)
\(30\) −1.05046 3.92539i −0.191786 0.716676i
\(31\) −3.57912 + 2.06641i −0.642829 + 0.371138i −0.785703 0.618603i \(-0.787699\pi\)
0.142874 + 0.989741i \(0.454365\pi\)
\(32\) −3.53079 + 2.03850i −0.624162 + 0.360360i
\(33\) −2.18393 + 8.14007i −0.380173 + 1.41700i
\(34\) −7.16270 4.13539i −1.22839 0.709213i
\(35\) −3.01108 −0.508966
\(36\) −9.10044 5.26194i −1.51674 0.876990i
\(37\) 4.97866i 0.818486i 0.912425 + 0.409243i \(0.134207\pi\)
−0.912425 + 0.409243i \(0.865793\pi\)
\(38\) 2.07257 3.58980i 0.336215 0.582342i
\(39\) −2.47002 5.73576i −0.395520 0.918457i
\(40\) −1.76432 3.05589i −0.278963 0.483179i
\(41\) −1.46032 + 0.843116i −0.228064 + 0.131673i −0.609678 0.792649i \(-0.708701\pi\)
0.381615 + 0.924321i \(0.375368\pi\)
\(42\) −8.65465 + 8.64909i −1.33544 + 1.33458i
\(43\) −2.47744 + 4.29105i −0.377806 + 0.654380i −0.990743 0.135753i \(-0.956655\pi\)
0.612937 + 0.790132i \(0.289988\pi\)
\(44\) 17.0503i 2.57043i
\(45\) −1.50167 + 2.59711i −0.223856 + 0.387155i
\(46\) 3.76959i 0.555796i
\(47\) −1.99000 1.14893i −0.290271 0.167588i 0.347793 0.937571i \(-0.386931\pi\)
−0.638064 + 0.769983i \(0.720265\pi\)
\(48\) −2.12510 0.570152i −0.306732 0.0822943i
\(49\) 1.03331 + 1.78975i 0.147616 + 0.255679i
\(50\) −2.03176 + 1.17304i −0.287334 + 0.165892i
\(51\) 1.57848 + 5.89856i 0.221032 + 0.825964i
\(52\) −7.83324 9.91262i −1.08627 1.37463i
\(53\) 0.0235717 0.00323782 0.00161891 0.999999i \(-0.499485\pi\)
0.00161891 + 0.999999i \(0.499485\pi\)
\(54\) 3.14380 + 11.7782i 0.427817 + 1.60281i
\(55\) 4.86588 0.656115
\(56\) −5.31251 + 9.20154i −0.709914 + 1.22961i
\(57\) −2.95624 + 0.791104i −0.391563 + 0.104784i
\(58\) 16.7336 9.66114i 2.19723 1.26857i
\(59\) 12.0954 6.98331i 1.57469 0.909149i 0.579111 0.815248i \(-0.303400\pi\)
0.995582 0.0939009i \(-0.0299337\pi\)
\(60\) −1.57271 + 5.86190i −0.203036 + 0.756768i
\(61\) −7.41416 + 12.8417i −0.949285 + 1.64421i −0.202351 + 0.979313i \(0.564858\pi\)
−0.746935 + 0.664897i \(0.768475\pi\)
\(62\) 9.69588 1.23138
\(63\) 9.03325 + 0.00580235i 1.13808 + 0.000731027i
\(64\) 12.1056 1.51320
\(65\) −2.82890 + 2.23547i −0.350881 + 0.277277i
\(66\) 13.9858 13.9768i 1.72154 1.72043i
\(67\) −12.2089 + 7.04883i −1.49156 + 0.861151i −0.999953 0.00966753i \(-0.996923\pi\)
−0.491604 + 0.870819i \(0.663589\pi\)
\(68\) 6.17655 + 10.6981i 0.749017 + 1.29734i
\(69\) −1.96851 + 1.96725i −0.236981 + 0.236829i
\(70\) 6.11780 + 3.53211i 0.731217 + 0.422168i
\(71\) 10.4870i 1.24458i 0.782788 + 0.622289i \(0.213797\pi\)
−0.782788 + 0.622289i \(0.786203\pi\)
\(72\) 5.28707 + 9.17107i 0.623087 + 1.08082i
\(73\) 0.0924209i 0.0108171i −0.999985 0.00540853i \(-0.998278\pi\)
0.999985 0.00540853i \(-0.00172160\pi\)
\(74\) 5.84015 10.1154i 0.678903 1.17589i
\(75\) 1.67289 + 0.448825i 0.193169 + 0.0518259i
\(76\) −5.36167 + 3.09556i −0.615025 + 0.355085i
\(77\) −7.32578 12.6886i −0.834850 1.44600i
\(78\) −1.70977 + 14.5511i −0.193594 + 1.64759i
\(79\) 4.65227 8.05796i 0.523421 0.906592i −0.476208 0.879333i \(-0.657989\pi\)
0.999628 0.0272587i \(-0.00867778\pi\)
\(80\) 1.27032i 0.142026i
\(81\) 4.51001 7.78844i 0.501112 0.865382i
\(82\) 3.95603 0.436870
\(83\) −4.07164 2.35076i −0.446921 0.258030i 0.259608 0.965714i \(-0.416407\pi\)
−0.706529 + 0.707684i \(0.749740\pi\)
\(84\) 17.6537 4.72422i 1.92618 0.515455i
\(85\) 3.05306 1.76268i 0.331151 0.191190i
\(86\) 10.0671 5.81226i 1.08557 0.626752i
\(87\) −13.7779 3.69653i −1.47715 0.396309i
\(88\) 8.58496 14.8696i 0.915160 1.58510i
\(89\) 16.2397i 1.72141i 0.509108 + 0.860703i \(0.329975\pi\)
−0.509108 + 0.860703i \(0.670025\pi\)
\(90\) 6.09754 3.51519i 0.642737 0.370534i
\(91\) 10.0884 + 4.01124i 1.05755 + 0.420492i
\(92\) −2.81511 + 4.87591i −0.293495 + 0.508348i
\(93\) −5.06002 5.06327i −0.524699 0.525036i
\(94\) 2.69547 + 4.66869i 0.278016 + 0.481538i
\(95\) 0.883421 + 1.53013i 0.0906370 + 0.156988i
\(96\) −4.99169 4.99490i −0.509462 0.509790i
\(97\) 11.3656 + 6.56194i 1.15400 + 0.666264i 0.949859 0.312677i \(-0.101226\pi\)
0.204143 + 0.978941i \(0.434559\pi\)
\(98\) 4.84845i 0.489768i
\(99\) −14.5976 0.00937653i −1.46712 0.000942377i
\(100\) 3.50406 0.350406
\(101\) −2.32210 + 4.02200i −0.231058 + 0.400204i −0.958120 0.286368i \(-0.907552\pi\)
0.727062 + 0.686572i \(0.240885\pi\)
\(102\) 3.71213 13.8361i 0.367556 1.36998i
\(103\) 4.82912 + 8.36428i 0.475827 + 0.824157i 0.999617 0.0276912i \(-0.00881549\pi\)
−0.523790 + 0.851848i \(0.675482\pi\)
\(104\) 1.84029 + 12.5889i 0.180455 + 1.23444i
\(105\) −1.34821 5.03807i −0.131572 0.491666i
\(106\) −0.0478920 0.0276505i −0.00465169 0.00268565i
\(107\) −0.627574 −0.0606699 −0.0303349 0.999540i \(-0.509657\pi\)
−0.0303349 + 0.999540i \(0.509657\pi\)
\(108\) 4.72943 17.5827i 0.455089 1.69189i
\(109\) 8.19251i 0.784700i −0.919816 0.392350i \(-0.871662\pi\)
0.919816 0.392350i \(-0.128338\pi\)
\(110\) −9.88629 5.70785i −0.942621 0.544222i
\(111\) −8.33017 + 2.22920i −0.790665 + 0.211586i
\(112\) 3.31258 1.91252i 0.313010 0.180716i
\(113\) 1.20432 + 2.08595i 0.113293 + 0.196229i 0.917096 0.398666i \(-0.130527\pi\)
−0.803803 + 0.594896i \(0.797193\pi\)
\(114\) 6.93436 + 1.86044i 0.649462 + 0.174246i
\(115\) 1.39150 + 0.803384i 0.129758 + 0.0749159i
\(116\) −28.8595 −2.67953
\(117\) 8.49099 6.70097i 0.784993 0.619505i
\(118\) −32.7667 −3.01642
\(119\) −9.19301 5.30759i −0.842722 0.486546i
\(120\) 4.32307 4.32029i 0.394640 0.394387i
\(121\) 6.33838 + 10.9784i 0.576217 + 0.998037i
\(122\) 30.1276 17.3942i 2.72762 1.57479i
\(123\) −2.06454 2.06587i −0.186153 0.186273i
\(124\) −12.5415 7.24081i −1.12626 0.650244i
\(125\) 1.00000i 0.0894427i
\(126\) −18.3466 10.6081i −1.63444 0.945047i
\(127\) 0.104062 0.00923399 0.00461700 0.999989i \(-0.498530\pi\)
0.00461700 + 0.999989i \(0.498530\pi\)
\(128\) −17.5341 10.1233i −1.54981 0.894783i
\(129\) −8.28896 2.22387i −0.729803 0.195801i
\(130\) 8.36993 1.22355i 0.734091 0.107312i
\(131\) −7.41509 12.8433i −0.647859 1.12213i −0.983633 0.180183i \(-0.942331\pi\)
0.335774 0.941943i \(-0.391002\pi\)
\(132\) −28.5282 + 7.63429i −2.48306 + 0.664480i
\(133\) 2.66005 4.60735i 0.230656 0.399508i
\(134\) 33.0741 2.85717
\(135\) −5.01780 1.34970i −0.431863 0.116164i
\(136\) 12.4397i 1.06670i
\(137\) 7.09830 + 4.09820i 0.606448 + 0.350133i 0.771574 0.636139i \(-0.219470\pi\)
−0.165126 + 0.986273i \(0.552803\pi\)
\(138\) 6.30720 1.68784i 0.536904 0.143678i
\(139\) −3.89026 6.73812i −0.329967 0.571520i 0.652538 0.757756i \(-0.273704\pi\)
−0.982505 + 0.186236i \(0.940371\pi\)
\(140\) −5.27551 9.13745i −0.445862 0.772256i
\(141\) 1.03133 3.84405i 0.0868540 0.323728i
\(142\) 12.3016 21.3071i 1.03233 1.78805i
\(143\) −16.3028 6.48212i −1.36331 0.542062i
\(144\) 0.00244790 3.81096i 0.000203992 0.317580i
\(145\) 8.23601i 0.683963i
\(146\) −0.108413 + 0.187777i −0.00897234 + 0.0155405i
\(147\) −2.53190 + 2.53028i −0.208828 + 0.208694i
\(148\) −15.1083 + 8.72276i −1.24189 + 0.717006i
\(149\) 12.7430 7.35717i 1.04395 0.602723i 0.122998 0.992407i \(-0.460749\pi\)
0.920949 + 0.389684i \(0.127416\pi\)
\(150\) −2.87242 2.87426i −0.234532 0.234683i
\(151\) −14.2369 8.21969i −1.15858 0.668909i −0.207620 0.978209i \(-0.566572\pi\)
−0.950964 + 0.309300i \(0.899905\pi\)
\(152\) 6.23454 0.505688
\(153\) −9.16257 + 5.28217i −0.740750 + 0.427038i
\(154\) 34.3736i 2.76991i
\(155\) −2.06641 + 3.57912i −0.165978 + 0.287482i
\(156\) 13.0782 17.5448i 1.04710 1.40471i
\(157\) −9.94956 17.2331i −0.794062 1.37536i −0.923433 0.383759i \(-0.874629\pi\)
0.129372 0.991596i \(-0.458704\pi\)
\(158\) −18.9046 + 10.9146i −1.50397 + 0.868316i
\(159\) 0.0105542 + 0.0394396i 0.000837006 + 0.00312777i
\(160\) −2.03850 + 3.53079i −0.161158 + 0.279134i
\(161\) 4.83811i 0.381297i
\(162\) −18.2994 + 10.5338i −1.43774 + 0.827616i
\(163\) 6.57929i 0.515330i −0.966234 0.257665i \(-0.917047\pi\)
0.966234 0.257665i \(-0.0829531\pi\)
\(164\) −5.11705 2.95433i −0.399575 0.230694i
\(165\) 2.17870 + 8.14147i 0.169611 + 0.633813i
\(166\) 5.51506 + 9.55237i 0.428052 + 0.741408i
\(167\) 6.20266 3.58110i 0.479976 0.277114i −0.240431 0.970666i \(-0.577289\pi\)
0.720406 + 0.693552i \(0.243955\pi\)
\(168\) −17.7745 4.76878i −1.37133 0.367919i
\(169\) 12.4560 3.72126i 0.958155 0.286250i
\(170\) −8.27077 −0.634339
\(171\) −2.64731 4.59209i −0.202445 0.351166i
\(172\) −17.3622 −1.32386
\(173\) −7.43076 + 12.8705i −0.564950 + 0.978523i 0.432104 + 0.901824i \(0.357771\pi\)
−0.997054 + 0.0766991i \(0.975562\pi\)
\(174\) 23.6573 + 23.6725i 1.79345 + 1.79460i
\(175\) −2.60767 + 1.50554i −0.197122 + 0.113808i
\(176\) −5.35310 + 3.09061i −0.403505 + 0.232964i
\(177\) 17.1000 + 17.1110i 1.28532 + 1.28614i
\(178\) 19.0498 32.9952i 1.42784 2.47309i
\(179\) 22.8325 1.70658 0.853290 0.521436i \(-0.174603\pi\)
0.853290 + 0.521436i \(0.174603\pi\)
\(180\) −10.5122 0.00675231i −0.783532 0.000503288i
\(181\) 15.2979 1.13709 0.568544 0.822653i \(-0.307507\pi\)
0.568544 + 0.822653i \(0.307507\pi\)
\(182\) −15.7919 19.9840i −1.17057 1.48131i
\(183\) −24.8061 6.65532i −1.83372 0.491975i
\(184\) 4.91010 2.83485i 0.361978 0.208988i
\(185\) 2.48933 + 4.31164i 0.183019 + 0.316998i
\(186\) 4.34133 + 16.2229i 0.318322 + 1.18952i
\(187\) 14.8558 + 8.57700i 1.08636 + 0.627213i
\(188\) 8.05182i 0.587239i
\(189\) 4.03493 + 15.1168i 0.293498 + 1.09959i
\(190\) 4.14514i 0.300720i
\(191\) 5.09701 8.82828i 0.368807 0.638792i −0.620573 0.784149i \(-0.713100\pi\)
0.989379 + 0.145357i \(0.0464332\pi\)
\(192\) 5.42029 + 20.2548i 0.391176 + 1.46177i
\(193\) 16.0902 9.28971i 1.15820 0.668688i 0.207329 0.978271i \(-0.433523\pi\)
0.950872 + 0.309584i \(0.100190\pi\)
\(194\) −15.3948 26.6646i −1.10528 1.91440i
\(195\) −5.00698 3.73231i −0.358558 0.267276i
\(196\) −3.62079 + 6.27139i −0.258628 + 0.447957i
\(197\) 10.6841i 0.761212i −0.924737 0.380606i \(-0.875715\pi\)
0.924737 0.380606i \(-0.124285\pi\)
\(198\) 29.6479 + 17.1426i 2.10698 + 1.21827i
\(199\) −14.8783 −1.05470 −0.527348 0.849650i \(-0.676813\pi\)
−0.527348 + 0.849650i \(0.676813\pi\)
\(200\) −3.05589 1.76432i −0.216084 0.124756i
\(201\) −17.2605 17.2716i −1.21746 1.21824i
\(202\) 9.43591 5.44783i 0.663908 0.383308i
\(203\) 21.4768 12.3997i 1.50738 0.870285i
\(204\) −15.1343 + 15.1245i −1.05961 + 1.05893i
\(205\) −0.843116 + 1.46032i −0.0588858 + 0.101993i
\(206\) 22.6589i 1.57872i
\(207\) −4.17296 2.41283i −0.290040 0.167703i
\(208\) 1.69227 4.25611i 0.117338 0.295108i
\(209\) −4.29862 + 7.44542i −0.297342 + 0.515011i
\(210\) −3.17060 + 11.8177i −0.218792 + 0.815496i
\(211\) −6.61701 11.4610i −0.455534 0.789007i 0.543185 0.839613i \(-0.317218\pi\)
−0.998719 + 0.0506056i \(0.983885\pi\)
\(212\) 0.0412984 + 0.0715309i 0.00283638 + 0.00491276i
\(213\) −17.5466 + 4.69556i −1.20227 + 0.321734i
\(214\) 1.27508 + 0.736167i 0.0871626 + 0.0503234i
\(215\) 4.95488i 0.337920i
\(216\) −12.9775 + 12.9525i −0.883009 + 0.881309i
\(217\) 12.4442 0.844770
\(218\) −9.61012 + 16.6452i −0.650879 + 1.12736i
\(219\) 0.154637 0.0413815i 0.0104494 0.00279630i
\(220\) 8.52517 + 14.7660i 0.574767 + 0.995525i
\(221\) −12.5772 + 1.83859i −0.846035 + 0.123677i
\(222\) 19.5398 + 5.24241i 1.31143 + 0.351847i
\(223\) 14.7263 + 8.50221i 0.986144 + 0.569350i 0.904119 0.427280i \(-0.140528\pi\)
0.0820242 + 0.996630i \(0.473862\pi\)
\(224\) 12.2762 0.820239
\(225\) −0.00192700 + 3.00000i −0.000128466 + 0.200000i
\(226\) 5.65086i 0.375890i
\(227\) 0.928183 + 0.535886i 0.0616056 + 0.0355680i 0.530486 0.847693i \(-0.322009\pi\)
−0.468881 + 0.883261i \(0.655343\pi\)
\(228\) −7.58011 7.58498i −0.502005 0.502327i
\(229\) −2.90717 + 1.67846i −0.192111 + 0.110915i −0.592971 0.805224i \(-0.702045\pi\)
0.400859 + 0.916140i \(0.368712\pi\)
\(230\) −1.88480 3.26456i −0.124280 0.215259i
\(231\) 17.9502 17.9387i 1.18104 1.18028i
\(232\) 25.1683 + 14.5309i 1.65238 + 0.954003i
\(233\) 11.1489 0.730385 0.365193 0.930932i \(-0.381003\pi\)
0.365193 + 0.930932i \(0.381003\pi\)
\(234\) −25.1121 + 3.65451i −1.64163 + 0.238903i
\(235\) −2.29785 −0.149895
\(236\) 42.3832 + 24.4699i 2.75891 + 1.59286i
\(237\) 15.5654 + 4.17611i 1.01108 + 0.271267i
\(238\) 12.4520 + 21.5675i 0.807143 + 1.39801i
\(239\) 15.4693 8.93120i 1.00063 0.577711i 0.0921923 0.995741i \(-0.470613\pi\)
0.908433 + 0.418030i \(0.137279\pi\)
\(240\) −2.12547 + 0.568786i −0.137198 + 0.0367150i
\(241\) 6.50757 + 3.75715i 0.419189 + 0.242019i 0.694730 0.719270i \(-0.255524\pi\)
−0.275541 + 0.961289i \(0.588857\pi\)
\(242\) 29.7406i 1.91180i
\(243\) 15.0508 + 4.05876i 0.965509 + 0.260370i
\(244\) −51.9593 −3.32635
\(245\) 1.78975 + 1.03331i 0.114343 + 0.0660159i
\(246\) 1.77131 + 6.61913i 0.112935 + 0.422020i
\(247\) −0.921461 6.30344i −0.0586312 0.401078i
\(248\) 7.29160 + 12.6294i 0.463017 + 0.801969i
\(249\) 2.11016 7.86513i 0.133726 0.498432i
\(250\) −1.17304 + 2.03176i −0.0741894 + 0.128500i
\(251\) −17.3950 −1.09796 −0.548982 0.835834i \(-0.684984\pi\)
−0.548982 + 0.835834i \(0.684984\pi\)
\(252\) 15.8089 + 27.4225i 0.995868 + 1.72746i
\(253\) 7.81833i 0.491534i
\(254\) −0.211429 0.122068i −0.0132662 0.00765925i
\(255\) 4.31629 + 4.31906i 0.270296 + 0.270470i
\(256\) 11.6444 + 20.1687i 0.727776 + 1.26055i
\(257\) 13.6866 + 23.7059i 0.853746 + 1.47873i 0.877803 + 0.479021i \(0.159008\pi\)
−0.0240569 + 0.999711i \(0.507658\pi\)
\(258\) 14.2325 + 14.2416i 0.886076 + 0.886646i
\(259\) 7.49557 12.9827i 0.465752 0.806707i
\(260\) −11.7401 4.66796i −0.728090 0.289495i
\(261\) 0.0158708 24.7080i 0.000982375 1.52939i
\(262\) 34.7927i 2.14950i
\(263\) 9.79031 16.9573i 0.603696 1.04563i −0.388560 0.921424i \(-0.627027\pi\)
0.992256 0.124209i \(-0.0396394\pi\)
\(264\) 28.7234 + 7.70629i 1.76780 + 0.474289i
\(265\) 0.0204137 0.0117859i 0.00125400 0.000723999i
\(266\) −10.8092 + 6.24068i −0.662753 + 0.382641i
\(267\) −27.1719 + 7.27133i −1.66289 + 0.444998i
\(268\) −42.7808 24.6995i −2.61325 1.50876i
\(269\) −24.7562 −1.50941 −0.754705 0.656064i \(-0.772220\pi\)
−0.754705 + 0.656064i \(0.772220\pi\)
\(270\) 8.61171 + 8.62833i 0.524092 + 0.525103i
\(271\) 3.20359i 0.194604i 0.995255 + 0.0973020i \(0.0310213\pi\)
−0.995255 + 0.0973020i \(0.968979\pi\)
\(272\) −2.23917 + 3.87836i −0.135770 + 0.235160i
\(273\) −2.19442 + 18.6757i −0.132812 + 1.13031i
\(274\) −9.61469 16.6531i −0.580844 1.00605i
\(275\) 4.21397 2.43294i 0.254112 0.146712i
\(276\) −9.41872 2.52698i −0.566940 0.152106i
\(277\) −0.198774 + 0.344286i −0.0119432 + 0.0206861i −0.871935 0.489621i \(-0.837135\pi\)
0.859992 + 0.510307i \(0.170468\pi\)
\(278\) 18.2537i 1.09478i
\(279\) 6.20611 10.7334i 0.371550 0.642591i
\(280\) 10.6250i 0.634966i
\(281\) −3.75638 2.16875i −0.224087 0.129377i 0.383754 0.923435i \(-0.374631\pi\)
−0.607841 + 0.794059i \(0.707964\pi\)
\(282\) −6.60464 + 6.60040i −0.393301 + 0.393048i
\(283\) −0.628989 1.08944i −0.0373895 0.0647605i 0.846725 0.532031i \(-0.178571\pi\)
−0.884115 + 0.467270i \(0.845238\pi\)
\(284\) −31.8239 + 18.3735i −1.88840 + 1.09027i
\(285\) −2.16462 + 2.16323i −0.128221 + 0.128139i
\(286\) 25.5195 + 32.2938i 1.50900 + 1.90958i
\(287\) 5.07739 0.299709
\(288\) 6.12232 10.5885i 0.360761 0.623930i
\(289\) −4.57178 −0.268929
\(290\) 9.66114 16.7336i 0.567322 0.982630i
\(291\) −5.89032 + 21.9548i −0.345297 + 1.28701i
\(292\) 0.280461 0.161924i 0.0164127 0.00947590i
\(293\) 3.65963 2.11289i 0.213798 0.123436i −0.389277 0.921121i \(-0.627275\pi\)
0.603075 + 0.797684i \(0.293942\pi\)
\(294\) 8.11232 2.17090i 0.473120 0.126609i
\(295\) 6.98331 12.0954i 0.406584 0.704224i
\(296\) 17.5679 1.02111
\(297\) −6.52041 24.4286i −0.378352 1.41749i
\(298\) −34.5209 −1.99974
\(299\) −3.59189 4.54538i −0.207724 0.262866i
\(300\) 1.56894 + 5.86291i 0.0905831 + 0.338495i
\(301\) 12.9207 7.45978i 0.744738 0.429975i
\(302\) 19.2840 + 33.4009i 1.10967 + 1.92200i
\(303\) −7.76924 2.08444i −0.446331 0.119748i
\(304\) −1.94375 1.12223i −0.111482 0.0643641i
\(305\) 14.8283i 0.849067i
\(306\) 24.8123 + 0.0159378i 1.41843 + 0.000911101i
\(307\) 11.9594i 0.682560i −0.939962 0.341280i \(-0.889140\pi\)
0.939962 0.341280i \(-0.110860\pi\)
\(308\) 25.6700 44.4617i 1.46268 2.53344i
\(309\) −11.8327 + 11.8251i −0.673137 + 0.672705i
\(310\) 8.39688 4.84794i 0.476911 0.275345i
\(311\) −7.69401 13.3264i −0.436287 0.755672i 0.561112 0.827740i \(-0.310374\pi\)
−0.997400 + 0.0720679i \(0.977040\pi\)
\(312\) −20.2394 + 8.71581i −1.14583 + 0.493435i
\(313\) −15.6183 + 27.0516i −0.882797 + 1.52905i −0.0345782 + 0.999402i \(0.511009\pi\)
−0.848218 + 0.529647i \(0.822325\pi\)
\(314\) 46.6848i 2.63458i
\(315\) 7.82592 4.51160i 0.440941 0.254200i
\(316\) 32.6037 1.83410
\(317\) 6.94765 + 4.01123i 0.390219 + 0.225293i 0.682255 0.731114i \(-0.260999\pi\)
−0.292036 + 0.956407i \(0.594333\pi\)
\(318\) 0.0248205 0.0925124i 0.00139186 0.00518784i
\(319\) −34.7063 + 20.0377i −1.94318 + 1.12190i
\(320\) 10.4838 6.05280i 0.586060 0.338362i
\(321\) −0.280997 1.05004i −0.0156837 0.0586076i
\(322\) −5.67528 + 9.82988i −0.316271 + 0.547798i
\(323\) 6.22876i 0.346578i
\(324\) 31.5365 + 0.0405139i 1.75203 + 0.00225077i
\(325\) −1.33216 + 3.35043i −0.0738948 + 0.185848i
\(326\) −7.71775 + 13.3675i −0.427447 + 0.740359i
\(327\) 13.7075 3.66820i 0.758028 0.202852i
\(328\) 2.97505 + 5.15294i 0.164270 + 0.284524i
\(329\) 3.45952 + 5.99206i 0.190729 + 0.330353i
\(330\) 5.12365 19.0972i 0.282048 1.05127i
\(331\) 1.57712 + 0.910548i 0.0866861 + 0.0500483i 0.542716 0.839916i \(-0.317396\pi\)
−0.456030 + 0.889964i \(0.650729\pi\)
\(332\) 16.4744i 0.904152i
\(333\) −7.45967 12.9397i −0.408788 0.709092i
\(334\) −16.8031 −0.919423
\(335\) −7.04883 + 12.2089i −0.385119 + 0.667045i
\(336\) 4.68319 + 4.68620i 0.255489 + 0.255653i
\(337\) 15.6482 + 27.1036i 0.852414 + 1.47642i 0.879023 + 0.476779i \(0.158196\pi\)
−0.0266088 + 0.999646i \(0.508471\pi\)
\(338\) −29.6728 7.05066i −1.61399 0.383506i
\(339\) −2.95092 + 2.94903i −0.160272 + 0.160169i
\(340\) 10.6981 + 6.17655i 0.580186 + 0.334970i
\(341\) −20.1098 −1.08900
\(342\) −0.00798767 + 12.4354i −0.000431924 + 0.672430i
\(343\) 14.8548i 0.802084i
\(344\) 15.1416 + 8.74199i 0.816379 + 0.471336i
\(345\) −0.721157 + 2.68794i −0.0388258 + 0.144714i
\(346\) 30.1950 17.4331i 1.62330 0.937210i
\(347\) −8.63907 14.9633i −0.463770 0.803273i 0.535375 0.844614i \(-0.320170\pi\)
−0.999145 + 0.0413416i \(0.986837\pi\)
\(348\) −12.9218 48.2870i −0.692683 2.58845i
\(349\) −27.3293 15.7786i −1.46291 0.844609i −0.463761 0.885961i \(-0.653500\pi\)
−0.999145 + 0.0413518i \(0.986834\pi\)
\(350\) 7.06422 0.377599
\(351\) 15.0138 + 11.2066i 0.801375 + 0.598162i
\(352\) −19.8382 −1.05738
\(353\) 26.8225 + 15.4860i 1.42762 + 0.824236i 0.996933 0.0782651i \(-0.0249380\pi\)
0.430687 + 0.902501i \(0.358271\pi\)
\(354\) −14.6713 54.8245i −0.779771 2.91389i
\(355\) 5.24350 + 9.08201i 0.278296 + 0.482023i
\(356\) −49.2811 + 28.4525i −2.61189 + 1.50798i
\(357\) 4.76436 17.7580i 0.252157 0.939853i
\(358\) −46.3901 26.7834i −2.45179 1.41554i
\(359\) 16.7231i 0.882613i 0.897356 + 0.441307i \(0.145485\pi\)
−0.897356 + 0.441307i \(0.854515\pi\)
\(360\) 9.16427 + 5.29884i 0.482999 + 0.279274i
\(361\) 15.8783 0.835699
\(362\) −31.0817 17.9451i −1.63362 0.943171i
\(363\) −15.5308 + 15.5208i −0.815155 + 0.814632i
\(364\) 5.50267 + 37.6422i 0.288419 + 1.97299i
\(365\) −0.0462105 0.0800389i −0.00241877 0.00418943i
\(366\) 42.5931 + 42.6205i 2.22638 + 2.22781i
\(367\) 8.33456 14.4359i 0.435060 0.753547i −0.562240 0.826974i \(-0.690060\pi\)
0.997301 + 0.0734272i \(0.0233937\pi\)
\(368\) −2.04111 −0.106400
\(369\) 2.53216 4.37934i 0.131819 0.227979i
\(370\) 11.6803i 0.607229i
\(371\) −0.0614674 0.0354882i −0.00319123 0.00184246i
\(372\) 6.49972 24.2261i 0.336995 1.25607i
\(373\) 18.2792 + 31.6605i 0.946460 + 1.63932i 0.752802 + 0.658247i \(0.228702\pi\)
0.193658 + 0.981069i \(0.437965\pi\)
\(374\) −20.1223 34.8528i −1.04050 1.80220i
\(375\) 1.67318 0.447750i 0.0864025 0.0231217i
\(376\) −4.05415 + 7.02199i −0.209077 + 0.362131i
\(377\) 10.9717 27.5941i 0.565069 1.42117i
\(378\) 9.53457 35.4469i 0.490405 1.82319i
\(379\) 30.4260i 1.56288i −0.623980 0.781440i \(-0.714485\pi\)
0.623980 0.781440i \(-0.285515\pi\)
\(380\) −3.09556 + 5.36167i −0.158799 + 0.275048i
\(381\) 0.0465937 + 0.174114i 0.00238707 + 0.00892012i
\(382\) −20.7118 + 11.9580i −1.05971 + 0.611822i
\(383\) 2.09473 1.20939i 0.107036 0.0617971i −0.445526 0.895269i \(-0.646983\pi\)
0.552562 + 0.833472i \(0.313650\pi\)
\(384\) 9.08719 33.8703i 0.463729 1.72844i
\(385\) −12.6886 7.32578i −0.646672 0.373356i
\(386\) −43.5887 −2.21860
\(387\) 0.00954804 14.8646i 0.000485354 0.755612i
\(388\) 45.9869i 2.33463i
\(389\) 0.948414 1.64270i 0.0480865 0.0832883i −0.840980 0.541066i \(-0.818021\pi\)
0.889067 + 0.457777i \(0.151354\pi\)
\(390\) 5.79485 + 13.4565i 0.293434 + 0.681398i
\(391\) 2.83222 + 4.90555i 0.143232 + 0.248085i
\(392\) 6.31538 3.64618i 0.318975 0.184160i
\(393\) 18.1690 18.1573i 0.916506 0.915917i
\(394\) −12.5329 + 21.7076i −0.631396 + 1.09361i
\(395\) 9.30453i 0.468162i
\(396\) −25.5470 44.3145i −1.28379 2.22689i
\(397\) 9.29366i 0.466435i −0.972425 0.233218i \(-0.925075\pi\)
0.972425 0.233218i \(-0.0749255\pi\)
\(398\) 30.2291 + 17.4528i 1.51525 + 0.874830i
\(399\) 8.89995 + 2.38780i 0.445555 + 0.119539i
\(400\) 0.635160 + 1.10013i 0.0317580 + 0.0550065i
\(401\) −16.7032 + 9.64361i −0.834119 + 0.481579i −0.855261 0.518198i \(-0.826603\pi\)
0.0211418 + 0.999776i \(0.493270\pi\)
\(402\) 14.8090 + 55.3389i 0.738603 + 2.76005i
\(403\) 11.6913 9.23880i 0.582385 0.460217i
\(404\) −16.2736 −0.809641
\(405\) 0.0115620 8.99999i 0.000574519 0.447213i
\(406\) −58.1810 −2.88747
\(407\) −12.1128 + 20.9799i −0.600407 + 1.03994i
\(408\) 20.8139 5.56990i 1.03044 0.275751i
\(409\) 24.5831 14.1930i 1.21555 0.701801i 0.251590 0.967834i \(-0.419046\pi\)
0.963964 + 0.266033i \(0.0857131\pi\)
\(410\) 3.42602 1.97801i 0.169199 0.0976871i
\(411\) −3.67875 + 13.7117i −0.181459 + 0.676347i
\(412\) −16.9215 + 29.3089i −0.833663 + 1.44395i
\(413\) −42.0547 −2.06937
\(414\) 5.64810 + 9.79732i 0.277589 + 0.481512i
\(415\) −4.70153 −0.230789
\(416\) 11.5334 9.11405i 0.565473 0.446853i
\(417\) 9.53220 9.52608i 0.466794 0.466494i
\(418\) 17.4675 10.0849i 0.854364 0.493267i
\(419\) 17.7608 + 30.7626i 0.867672 + 1.50285i 0.864370 + 0.502857i \(0.167718\pi\)
0.00330191 + 0.999995i \(0.498949\pi\)
\(420\) 12.9265 12.9182i 0.630747 0.630342i
\(421\) 4.44999 + 2.56920i 0.216879 + 0.125215i 0.604504 0.796602i \(-0.293371\pi\)
−0.387625 + 0.921817i \(0.626705\pi\)
\(422\) 31.0480i 1.51139i
\(423\) 6.89356 + 0.00442796i 0.335176 + 0.000215295i
\(424\) 0.0831760i 0.00403938i
\(425\) 1.76268 3.05306i 0.0855027 0.148095i
\(426\) 41.1585 + 11.0426i 1.99414 + 0.535014i
\(427\) 38.6674 22.3246i 1.87125 1.08037i
\(428\) −1.09953 1.90444i −0.0531477 0.0920546i
\(429\) 3.54616 30.1798i 0.171210 1.45709i
\(430\) 5.81226 10.0671i 0.280292 0.485480i
\(431\) 10.2617i 0.494290i 0.968979 + 0.247145i \(0.0794924\pi\)
−0.968979 + 0.247145i \(0.920508\pi\)
\(432\) 6.37750 1.70226i 0.306838 0.0819002i
\(433\) 24.3491 1.17014 0.585071 0.810982i \(-0.301067\pi\)
0.585071 + 0.810982i \(0.301067\pi\)
\(434\) −25.2837 14.5976i −1.21366 0.700705i
\(435\) −13.7803 + 3.68768i −0.660714 + 0.176810i
\(436\) 24.8610 14.3535i 1.19063 0.687409i
\(437\) −2.45856 + 1.41945i −0.117609 + 0.0679016i
\(438\) −0.362726 0.0973171i −0.0173317 0.00464999i
\(439\) −1.83478 + 3.17793i −0.0875692 + 0.151674i −0.906483 0.422242i \(-0.861243\pi\)
0.818914 + 0.573916i \(0.194577\pi\)
\(440\) 17.1699i 0.818544i
\(441\) −5.36726 3.10339i −0.255584 0.147780i
\(442\) 27.7106 + 11.0180i 1.31806 + 0.524072i
\(443\) −4.99424 + 8.65028i −0.237284 + 0.410987i −0.959934 0.280227i \(-0.909590\pi\)
0.722650 + 0.691214i \(0.242924\pi\)
\(444\) −21.3594 21.3732i −1.01367 1.01433i
\(445\) 8.11985 + 14.0640i 0.384918 + 0.666697i
\(446\) −19.9468 34.5489i −0.944509 1.63594i
\(447\) 18.0155 + 18.0271i 0.852105 + 0.852653i
\(448\) −31.5675 18.2255i −1.49142 0.861074i
\(449\) 13.8617i 0.654175i −0.944994 0.327087i \(-0.893933\pi\)
0.944994 0.327087i \(-0.106067\pi\)
\(450\) 3.52302 6.09302i 0.166077 0.287228i
\(451\) −8.20500 −0.386358
\(452\) −4.22002 + 7.30929i −0.198493 + 0.343800i
\(453\) 7.37841 27.5013i 0.346668 1.29212i
\(454\) −1.25723 2.17758i −0.0590047 0.102199i
\(455\) 10.7424 1.57037i 0.503613 0.0736201i
\(456\) 2.79152 + 10.4315i 0.130725 + 0.488499i
\(457\) −29.5725 17.0737i −1.38334 0.798675i −0.390791 0.920480i \(-0.627798\pi\)
−0.992554 + 0.121805i \(0.961132\pi\)
\(458\) 7.87556 0.368001
\(459\) −12.9405 12.9655i −0.604013 0.605178i
\(460\) 5.63021i 0.262510i
\(461\) −27.2654 15.7417i −1.26988 0.733163i −0.294912 0.955525i \(-0.595290\pi\)
−0.974964 + 0.222361i \(0.928624\pi\)
\(462\) −57.5132 + 15.3908i −2.67576 + 0.716045i
\(463\) −11.8594 + 6.84700i −0.551151 + 0.318207i −0.749586 0.661907i \(-0.769747\pi\)
0.198435 + 0.980114i \(0.436414\pi\)
\(464\) −5.23118 9.06067i −0.242852 0.420631i
\(465\) −6.91373 1.85491i −0.320617 0.0860194i
\(466\) −22.6518 13.0780i −1.04932 0.605827i
\(467\) 2.38157 0.110206 0.0551029 0.998481i \(-0.482451\pi\)
0.0551029 + 0.998481i \(0.482451\pi\)
\(468\) 35.2113 + 14.0265i 1.62764 + 0.648376i
\(469\) 42.4492 1.96012
\(470\) 4.66869 + 2.69547i 0.215350 + 0.124333i
\(471\) 24.3792 24.3635i 1.12333 1.12261i
\(472\) −24.6416 42.6804i −1.13422 1.96453i
\(473\) −20.8797 + 12.0549i −0.960052 + 0.554286i
\(474\) −26.7265 26.7437i −1.22759 1.22838i
\(475\) 1.53013 + 0.883421i 0.0702072 + 0.0405341i
\(476\) 37.1962i 1.70489i
\(477\) −0.0612638 + 0.0353182i −0.00280508 + 0.00161711i
\(478\) −41.9065 −1.91676
\(479\) −15.8023 9.12347i −0.722026 0.416862i 0.0934721 0.995622i \(-0.470203\pi\)
−0.815498 + 0.578760i \(0.803537\pi\)
\(480\) −6.82038 1.82986i −0.311306 0.0835215i
\(481\) −2.59652 17.7620i −0.118391 0.809878i
\(482\) −8.81454 15.2672i −0.401491 0.695404i
\(483\) 8.09501 2.16627i 0.368336 0.0985685i
\(484\) −22.2101 + 38.4690i −1.00955 + 1.74859i
\(485\) 13.1239 0.595924
\(486\) −25.8185 25.9016i −1.17115 1.17492i
\(487\) 1.00591i 0.0455820i −0.999740 0.0227910i \(-0.992745\pi\)
0.999740 0.0227910i \(-0.00725522\pi\)
\(488\) 45.3137 + 26.1619i 2.05125 + 1.18429i
\(489\) 11.0083 2.94588i 0.497813 0.133217i
\(490\) −2.42423 4.19888i −0.109515 0.189686i
\(491\) 14.7045 + 25.4689i 0.663604 + 1.14940i 0.979662 + 0.200656i \(0.0643075\pi\)
−0.316057 + 0.948740i \(0.602359\pi\)
\(492\) 2.65196 9.88453i 0.119559 0.445629i
\(493\) −14.5175 + 25.1450i −0.653834 + 1.13247i
\(494\) −5.52198 + 13.8880i −0.248446 + 0.624850i
\(495\) −12.6466 + 7.29069i −0.568423 + 0.327692i
\(496\) 5.25000i 0.235732i
\(497\) 15.7886 27.3467i 0.708216 1.22667i
\(498\) −13.5134 + 13.5048i −0.605551 + 0.605162i
\(499\) −10.6843 + 6.16857i −0.478294 + 0.276143i −0.719705 0.694280i \(-0.755723\pi\)
0.241411 + 0.970423i \(0.422390\pi\)
\(500\) 3.03461 1.75203i 0.135712 0.0783532i
\(501\) 8.76906 + 8.77470i 0.391773 + 0.392025i
\(502\) 35.3425 + 20.4050i 1.57741 + 0.910719i
\(503\) 18.8762 0.841650 0.420825 0.907142i \(-0.361741\pi\)
0.420825 + 0.907142i \(0.361741\pi\)
\(504\) 0.0204744 31.8751i 0.000912002 1.41983i
\(505\) 4.64421i 0.206665i
\(506\) 9.17119 15.8850i 0.407709 0.706173i
\(507\) 11.8035 + 19.1749i 0.524212 + 0.851588i
\(508\) 0.182319 + 0.315787i 0.00808912 + 0.0140108i
\(509\) 0.488382 0.281968i 0.0216472 0.0124980i −0.489137 0.872207i \(-0.662688\pi\)
0.510785 + 0.859709i \(0.329355\pi\)
\(510\) −3.70324 13.8385i −0.163982 0.612777i
\(511\) −0.139144 + 0.241004i −0.00615535 + 0.0106614i
\(512\) 14.1441i 0.625087i
\(513\) 6.49804 6.48553i 0.286896 0.286343i
\(514\) 64.2195i 2.83260i
\(515\) 8.36428 + 4.82912i 0.368574 + 0.212796i
\(516\) −7.77393 29.0500i −0.342228 1.27886i
\(517\) −5.59054 9.68310i −0.245872 0.425862i
\(518\) −30.4584 + 17.5852i −1.33827 + 0.772648i
\(519\) −24.8617 6.67023i −1.09131 0.292790i
\(520\) 7.88818 + 9.98215i 0.345920 + 0.437746i
\(521\) 40.6199 1.77959 0.889796 0.456358i \(-0.150847\pi\)
0.889796 + 0.456358i \(0.150847\pi\)
\(522\) −29.0157 + 50.1821i −1.26998 + 2.19641i
\(523\) −32.7623 −1.43260 −0.716298 0.697795i \(-0.754165\pi\)
−0.716298 + 0.697795i \(0.754165\pi\)
\(524\) 25.9829 45.0037i 1.13507 1.96600i
\(525\) −3.68662 3.68899i −0.160897 0.161001i
\(526\) −39.7831 + 22.9688i −1.73463 + 1.00149i
\(527\) −12.6177 + 7.28484i −0.549636 + 0.317333i
\(528\) −7.56799 7.57285i −0.329354 0.329566i
\(529\) 10.2091 17.6828i 0.443876 0.768816i
\(530\) −0.0553010 −0.00240212
\(531\) −20.9732 + 36.2729i −0.910161 + 1.57411i
\(532\) 18.6420 0.808232
\(533\) 4.77018 3.76953i 0.206619 0.163276i
\(534\) 63.7363 + 17.1000i 2.75814 + 0.739991i
\(535\) −0.543495 + 0.313787i −0.0234973 + 0.0135662i
\(536\) 24.8727 + 43.0809i 1.07434 + 1.86081i
\(537\) 10.2233 + 38.2028i 0.441166 + 1.64857i
\(538\) 50.2986 + 29.0399i 2.16853 + 1.25200i
\(539\) 10.0559i 0.433140i
\(540\) −4.69553 17.5918i −0.202064 0.757029i
\(541\) 9.70325i 0.417175i −0.978004 0.208588i \(-0.933113\pi\)
0.978004 0.208588i \(-0.0668867\pi\)
\(542\) 3.75793 6.50892i 0.161417 0.279582i
\(543\) 6.84966 + 25.5962i 0.293947 + 1.09844i
\(544\) −12.4473 + 7.18648i −0.533676 + 0.308118i
\(545\) −4.09626 7.09492i −0.175464 0.303913i
\(546\) 26.3659 35.3704i 1.12835 1.51372i
\(547\) 2.34181 4.05613i 0.100128 0.173428i −0.811609 0.584201i \(-0.801408\pi\)
0.911737 + 0.410773i \(0.134741\pi\)
\(548\) 28.7207i 1.22689i
\(549\) 0.0285741 44.4849i 0.00121951 1.89857i
\(550\) −11.4157 −0.486767
\(551\) −12.6022 7.27586i −0.536870 0.309962i
\(552\) 6.94170 + 6.94616i 0.295459 + 0.295648i
\(553\) −24.2632 + 14.0084i −1.03178 + 0.595696i
\(554\) 0.807720 0.466338i 0.0343168 0.0198128i
\(555\) −6.09954 + 6.09562i −0.258911 + 0.258745i
\(556\) 13.6317 23.6108i 0.578113 1.00132i
\(557\) 34.9144i 1.47937i 0.672952 + 0.739686i \(0.265026\pi\)
−0.672952 + 0.739686i \(0.734974\pi\)
\(558\) −25.2000 + 14.5276i −1.06680 + 0.615004i
\(559\) 6.60069 16.6010i 0.279179 0.702146i
\(560\) 1.91252 3.31258i 0.0808187 0.139982i
\(561\) −7.69915 + 28.6967i −0.325058 + 1.21158i
\(562\) 5.08804 + 8.81274i 0.214626 + 0.371743i
\(563\) −18.8875 32.7140i −0.796011 1.37873i −0.922195 0.386725i \(-0.873606\pi\)
0.126184 0.992007i \(-0.459727\pi\)
\(564\) 13.4721 3.60521i 0.567278 0.151807i
\(565\) 2.08595 + 1.20432i 0.0877565 + 0.0506662i
\(566\) 2.95131i 0.124053i
\(567\) −23.4865 + 13.5197i −0.986339 + 0.567775i
\(568\) 37.0048 1.55269
\(569\) −17.5536 + 30.4038i −0.735886 + 1.27459i 0.218447 + 0.975849i \(0.429901\pi\)
−0.954333 + 0.298744i \(0.903432\pi\)
\(570\) 6.93555 1.85599i 0.290498 0.0777388i
\(571\) −8.10439 14.0372i −0.339158 0.587439i 0.645117 0.764084i \(-0.276809\pi\)
−0.984275 + 0.176645i \(0.943475\pi\)
\(572\) −8.89226 60.8293i −0.371804 2.54340i
\(573\) 17.0535 + 4.57533i 0.712418 + 0.191137i
\(574\) −10.3160 5.95596i −0.430583 0.248597i
\(575\) 1.60677 0.0670068
\(576\) −31.4629 + 18.1382i −1.31096 + 0.755758i
\(577\) 25.8038i 1.07423i −0.843510 0.537113i \(-0.819515\pi\)
0.843510 0.537113i \(-0.180485\pi\)
\(578\) 9.28877 + 5.36287i 0.386362 + 0.223066i
\(579\) 22.7477 + 22.7623i 0.945363 + 0.945971i
\(580\) −24.9930 + 14.4297i −1.03778 + 0.599162i
\(581\) 7.07835 + 12.2601i 0.293659 + 0.508633i
\(582\) 37.7215 37.6973i 1.56361 1.56260i
\(583\) 0.0993306 + 0.0573485i 0.00411385 + 0.00237513i
\(584\) −0.326120 −0.0134949
\(585\) 4.00293 10.0487i 0.165501 0.415463i
\(586\) −9.91399 −0.409543
\(587\) −9.45716 5.46009i −0.390339 0.225362i 0.291968 0.956428i \(-0.405690\pi\)
−0.682307 + 0.731066i \(0.739023\pi\)
\(588\) −12.1144 3.25020i −0.499588 0.134036i
\(589\) −3.65101 6.32374i −0.150437 0.260565i
\(590\) −28.3768 + 16.3834i −1.16825 + 0.674492i
\(591\) 17.8764 4.78382i 0.735337 0.196780i
\(592\) −5.47717 3.16224i −0.225110 0.129967i
\(593\) 18.9202i 0.776961i 0.921457 + 0.388481i \(0.127000\pi\)
−0.921457 + 0.388481i \(0.873000\pi\)
\(594\) −15.4078 + 57.2817i −0.632188 + 2.35030i
\(595\) −10.6152 −0.435180
\(596\) 44.6522 + 25.7800i 1.82903 + 1.05599i
\(597\) −6.66177 24.8940i −0.272648 1.01884i
\(598\) 1.96596 + 13.4485i 0.0803940 + 0.549951i
\(599\) 6.45037 + 11.1724i 0.263555 + 0.456491i 0.967184 0.254077i \(-0.0817716\pi\)
−0.703629 + 0.710568i \(0.748438\pi\)
\(600\) 1.58374 5.90302i 0.0646559 0.240990i
\(601\) −20.0298 + 34.6926i −0.817032 + 1.41514i 0.0908272 + 0.995867i \(0.471049\pi\)
−0.907859 + 0.419275i \(0.862284\pi\)
\(602\) −35.0024 −1.42659
\(603\) 21.1700 36.6132i 0.862109 1.49100i
\(604\) 57.6046i 2.34390i
\(605\) 10.9784 + 6.33838i 0.446335 + 0.257692i
\(606\) 13.3401 + 13.3487i 0.541905 + 0.542253i
\(607\) −2.47822 4.29241i −0.100588 0.174223i 0.811339 0.584576i \(-0.198739\pi\)
−0.911927 + 0.410352i \(0.865406\pi\)
\(608\) −3.60171 6.23835i −0.146069 0.252999i
\(609\) 30.3631 + 30.3826i 1.23037 + 1.23116i
\(610\) 17.3942 30.1276i 0.704269 1.21983i
\(611\) 7.69879 + 3.06111i 0.311460 + 0.123839i
\(612\) −32.0824 18.5503i −1.29685 0.749850i
\(613\) 42.4885i 1.71609i 0.513572 + 0.858047i \(0.328322\pi\)
−0.513572 + 0.858047i \(0.671678\pi\)
\(614\) −14.0288 + 24.2986i −0.566157 + 0.980613i
\(615\) −2.82088 0.756823i −0.113749 0.0305181i
\(616\) −44.7736 + 25.8500i −1.80398 + 1.04153i
\(617\) 10.8234 6.24890i 0.435734 0.251571i −0.266052 0.963959i \(-0.585719\pi\)
0.701786 + 0.712387i \(0.252386\pi\)
\(618\) 37.9124 10.1455i 1.52506 0.408114i
\(619\) 9.13994 + 5.27695i 0.367365 + 0.212098i 0.672307 0.740273i \(-0.265304\pi\)
−0.304942 + 0.952371i \(0.598637\pi\)
\(620\) −14.4816 −0.581596
\(621\) 2.16865 8.06244i 0.0870250 0.323534i
\(622\) 36.1014i 1.44754i
\(623\) 24.4496 42.3479i 0.979551 1.69663i
\(624\) 7.87894 + 0.925786i 0.315410 + 0.0370611i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 63.4651 36.6416i 2.53658 1.46449i
\(627\) −14.3822 3.85865i −0.574370 0.154100i
\(628\) 34.8639 60.3860i 1.39122 2.40966i
\(629\) 17.5516i 0.699828i
\(630\) −21.1927 0.0136127i −0.844336 0.000542344i
\(631\) 2.24202i 0.0892534i 0.999004 + 0.0446267i \(0.0142098\pi\)
−0.999004 + 0.0446267i \(0.985790\pi\)
\(632\) −28.4336 16.4162i −1.13103 0.653000i
\(633\) 16.2135 16.2031i 0.644429 0.644015i
\(634\) −9.41063 16.2997i −0.373744 0.647343i
\(635\) 0.0901202 0.0520309i 0.00357631 0.00206478i
\(636\) −0.101192 + 0.101127i −0.00401254 + 0.00400996i
\(637\) −4.61989 5.84627i −0.183047 0.231638i
\(638\) 94.0198 3.72228
\(639\) −15.7130 27.2561i −0.621597 1.07824i
\(640\) −20.2466 −0.800318
\(641\) −4.20443 + 7.28228i −0.166065 + 0.287633i −0.937033 0.349241i \(-0.886439\pi\)
0.770968 + 0.636874i \(0.219773\pi\)
\(642\) −0.660821 + 2.46305i −0.0260805 + 0.0972089i
\(643\) 7.96450 4.59830i 0.314089 0.181339i −0.334666 0.942337i \(-0.608623\pi\)
0.648755 + 0.760997i \(0.275290\pi\)
\(644\) 14.6818 8.47652i 0.578542 0.334022i
\(645\) −8.29039 + 2.21855i −0.326434 + 0.0873553i
\(646\) 7.30657 12.6553i 0.287473 0.497918i
\(647\) 26.6157 1.04637 0.523185 0.852219i \(-0.324744\pi\)
0.523185 + 0.852219i \(0.324744\pi\)
\(648\) −27.4826 15.9142i −1.07962 0.625168i
\(649\) 67.9599 2.66766
\(650\) 6.63680 5.24459i 0.260317 0.205710i
\(651\) 5.57192 + 20.8214i 0.218381 + 0.816056i
\(652\) 19.9656 11.5271i 0.781911 0.451437i
\(653\) 3.30181 + 5.71890i 0.129210 + 0.223798i 0.923371 0.383910i \(-0.125423\pi\)
−0.794161 + 0.607708i \(0.792089\pi\)
\(654\) −32.1533 8.62652i −1.25729 0.337324i
\(655\) −12.8433 7.41509i −0.501830 0.289731i
\(656\) 2.14206i 0.0836332i
\(657\) 0.138477 + 0.240206i 0.00540251 + 0.00937132i
\(658\) 16.2326i 0.632811i
\(659\) −10.8053 + 18.7153i −0.420913 + 0.729043i −0.996029 0.0890287i \(-0.971624\pi\)
0.575116 + 0.818072i \(0.304957\pi\)
\(660\) −20.8890 + 20.8756i −0.813104 + 0.812582i
\(661\) −27.0882 + 15.6394i −1.05361 + 0.608302i −0.923658 0.383218i \(-0.874816\pi\)
−0.129953 + 0.991520i \(0.541483\pi\)
\(662\) −2.13621 3.70003i −0.0830263 0.143806i
\(663\) −8.70773 20.2207i −0.338180 0.785306i
\(664\) −8.29499 + 14.3673i −0.321908 + 0.557561i
\(665\) 5.32011i 0.206305i
\(666\) −0.0225079 + 35.0409i −0.000872163 + 1.35781i
\(667\) −13.2333 −0.512397
\(668\) 21.7345 + 12.5484i 0.840932 + 0.485512i
\(669\) −7.63201 + 28.4465i −0.295071 + 1.09981i
\(670\) 28.6430 16.5371i 1.10658 0.638883i
\(671\) −62.4861 + 36.0764i −2.41225 + 1.39271i
\(672\) 5.49668 + 20.5403i 0.212039 + 0.792358i
\(673\) −1.57667 + 2.73088i −0.0607763 + 0.105268i −0.894813 0.446442i \(-0.852691\pi\)
0.834036 + 0.551709i \(0.186024\pi\)
\(674\) 73.4239i 2.82818i
\(675\) −5.02039 + 1.34003i −0.193235 + 0.0515777i
\(676\) 33.1159 + 31.2793i 1.27369 + 1.20305i
\(677\) 6.10021 10.5659i 0.234450 0.406080i −0.724663 0.689104i \(-0.758004\pi\)
0.959113 + 0.283024i \(0.0913377\pi\)
\(678\) 9.45488 2.53017i 0.363113 0.0971707i
\(679\) −19.7585 34.2228i −0.758263 1.31335i
\(680\) −6.21987 10.7731i −0.238521 0.413131i
\(681\) −0.481039 + 1.79296i −0.0184334 + 0.0687063i
\(682\) 40.8582 + 23.5895i 1.56454 + 0.903288i
\(683\) 4.23880i 0.162193i −0.996706 0.0810966i \(-0.974158\pi\)
0.996706 0.0810966i \(-0.0258422\pi\)
\(684\) 9.29701 16.0790i 0.355480 0.614797i
\(685\) 8.19641 0.313169
\(686\) 17.4252 30.1814i 0.665298 1.15233i
\(687\) −4.11004 4.11268i −0.156808 0.156909i
\(688\) −3.14714 5.45101i −0.119984 0.207818i
\(689\) −0.0840952 + 0.0122934i −0.00320377 + 0.000468340i
\(690\) 4.61827 4.61531i 0.175815 0.175702i
\(691\) −22.4820 12.9800i −0.855255 0.493782i 0.00716545 0.999974i \(-0.497719\pi\)
−0.862420 + 0.506193i \(0.831052\pi\)
\(692\) −52.0757 −1.97962
\(693\) 38.0518 + 22.0018i 1.44547 + 0.835779i
\(694\) 40.5358i 1.53872i
\(695\) −6.73812 3.89026i −0.255591 0.147566i
\(696\) −13.0437 + 48.6173i −0.494420 + 1.84283i
\(697\) −5.14817 + 2.97229i −0.195001 + 0.112584i
\(698\) 37.0177 + 64.1166i 1.40114 + 2.42685i
\(699\) 4.99190 + 18.6540i 0.188811 + 0.705559i
\(700\) −9.13745 5.27551i −0.345363 0.199396i
\(701\) 47.5126 1.79453 0.897263 0.441497i \(-0.145553\pi\)
0.897263 + 0.441497i \(0.145553\pi\)
\(702\) −17.3586 40.3807i −0.655159 1.52407i
\(703\) −8.79649 −0.331766
\(704\) 51.0127 + 29.4522i 1.92261 + 1.11002i
\(705\) −1.02887 3.84472i −0.0387493 0.144800i
\(706\) −36.3313 62.9276i −1.36735 2.36831i
\(707\) 12.1106 6.99205i 0.455465 0.262963i
\(708\) −21.9654 + 81.8710i −0.825512 + 3.07690i
\(709\) 23.8962 + 13.7965i 0.897441 + 0.518138i 0.876369 0.481640i \(-0.159959\pi\)
0.0210722 + 0.999778i \(0.493292\pi\)
\(710\) 24.6033i 0.923345i
\(711\) −0.0179298 + 27.9136i −0.000672420 + 1.04684i
\(712\) 57.3040 2.14756
\(713\) −5.75081 3.32023i −0.215370 0.124344i
\(714\) −30.5108 + 30.4912i −1.14184 + 1.14111i
\(715\) −17.3597 + 2.53770i −0.649215 + 0.0949047i
\(716\) 40.0032 + 69.2876i 1.49499 + 2.58940i
\(717\) 21.8699 + 21.8839i 0.816745 + 0.817270i
\(718\) 19.6168 33.9774i 0.732094 1.26802i
\(719\) 26.3274 0.981848 0.490924 0.871202i \(-0.336659\pi\)
0.490924 + 0.871202i \(0.336659\pi\)
\(720\) −1.90336 3.30161i −0.0709340 0.123044i
\(721\) 29.0817i 1.08306i
\(722\) −32.2608 18.6258i −1.20062 0.693180i
\(723\) −3.37260 + 12.5706i −0.125428 + 0.467505i
\(724\) 26.8025 + 46.4232i 0.996106 + 1.72531i
\(725\) 4.11800 + 7.13259i 0.152939 + 0.264898i
\(726\) 49.7613 13.3164i 1.84682 0.494217i
\(727\) −4.40426 + 7.62840i −0.163345 + 0.282922i −0.936066 0.351824i \(-0.885562\pi\)
0.772721 + 0.634745i \(0.218895\pi\)
\(728\) 14.1542 35.5983i 0.524590 1.31936i
\(729\) −0.0520289 + 26.9999i −0.00192700 + 0.999998i
\(730\) 0.216826i 0.00802510i
\(731\) −8.73389 + 15.1275i −0.323035 + 0.559512i
\(732\) −23.2648 86.9371i −0.859892 3.21329i
\(733\) −21.3136 + 12.3054i −0.787236 + 0.454511i −0.838988 0.544149i \(-0.816853\pi\)
0.0517529 + 0.998660i \(0.483519\pi\)
\(734\) −33.8676 + 19.5535i −1.25008 + 0.721732i
\(735\) −0.927553 + 3.45723i −0.0342133 + 0.127522i
\(736\) −5.67316 3.27540i −0.209116 0.120733i
\(737\) −68.5975 −2.52682
\(738\) −10.2819 + 5.92743i −0.378481 + 0.218192i
\(739\) 28.4527i 1.04665i 0.852133 + 0.523325i \(0.175309\pi\)
−0.852133 + 0.523325i \(0.824691\pi\)
\(740\) −8.72276 + 15.1083i −0.320655 + 0.555391i
\(741\) 10.1342 4.36413i 0.372289 0.160321i
\(742\) 0.0832579 + 0.144207i 0.00305649 + 0.00529400i
\(743\) −26.8082 + 15.4777i −0.983496 + 0.567822i −0.903324 0.428959i \(-0.858880\pi\)
−0.0801725 + 0.996781i \(0.525547\pi\)
\(744\) −17.8664 + 17.8550i −0.655015 + 0.654594i
\(745\) 7.35717 12.7430i 0.269546 0.466867i
\(746\) 85.7686i 3.14021i
\(747\) 14.1046 + 0.00905983i 0.516060 + 0.000331482i
\(748\) 60.1087i 2.19779i
\(749\) 1.63651 + 0.944839i 0.0597967 + 0.0345237i
\(750\) −3.92472 1.05298i −0.143310 0.0384493i
\(751\) −8.22543 14.2469i −0.300150 0.519876i 0.676020 0.736884i \(-0.263703\pi\)
−0.976170 + 0.217008i \(0.930370\pi\)
\(752\) 2.52794 1.45951i 0.0921844 0.0532227i
\(753\) −7.78862 29.1049i −0.283833 1.06064i
\(754\) −54.6607 + 43.1945i −1.99063 + 1.57305i
\(755\) −16.4394 −0.598291
\(756\) −38.8043 + 38.7296i −1.41130 + 1.40858i
\(757\) −21.7306 −0.789814 −0.394907 0.918721i \(-0.629223\pi\)
−0.394907 + 0.918721i \(0.629223\pi\)
\(758\) −35.6909 + 61.8184i −1.29635 + 2.24534i
\(759\) −13.0815 + 3.50066i −0.474827 + 0.127066i
\(760\) 5.39927 3.11727i 0.195852 0.113075i
\(761\) 20.0415 11.5709i 0.726503 0.419446i −0.0906388 0.995884i \(-0.528891\pi\)
0.817141 + 0.576437i \(0.195558\pi\)
\(762\) 0.109575 0.408413i 0.00396947 0.0147953i
\(763\) −12.3342 + 21.3634i −0.446527 + 0.773407i
\(764\) 35.7204 1.29232
\(765\) −5.29393 + 9.15577i −0.191403 + 0.331028i
\(766\) −5.67465 −0.205034
\(767\) −39.5101 + 31.2220i −1.42663 + 1.12736i
\(768\) −28.5321 + 28.5137i −1.02956 + 1.02890i
\(769\) 26.3323 15.2030i 0.949567 0.548233i 0.0566204 0.998396i \(-0.481968\pi\)
0.892946 + 0.450163i \(0.148634\pi\)
\(770\) 17.1868 + 29.7685i 0.619370 + 1.07278i
\(771\) −33.5359 + 33.5144i −1.20777 + 1.20699i
\(772\) 56.3812 + 32.5517i 2.02920 + 1.17156i
\(773\) 33.3792i 1.20056i −0.799788 0.600282i \(-0.795055\pi\)
0.799788 0.600282i \(-0.204945\pi\)
\(774\) −17.4562 + 30.1902i −0.627449 + 1.08516i
\(775\)