Properties

Label 273.2.cg.a.19.9
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.9
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.a.115.9

$q$-expansion

\(f(q)\) \(=\) \(q+(2.45222 + 0.657070i) q^{2} -1.00000i q^{3} +(3.84958 + 2.22256i) q^{4} +(-2.20549 + 0.590961i) q^{5} +(0.657070 - 2.45222i) q^{6} +(2.58986 + 0.540936i) q^{7} +(4.38935 + 4.38935i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(2.45222 + 0.657070i) q^{2} -1.00000i q^{3} +(3.84958 + 2.22256i) q^{4} +(-2.20549 + 0.590961i) q^{5} +(0.657070 - 2.45222i) q^{6} +(2.58986 + 0.540936i) q^{7} +(4.38935 + 4.38935i) q^{8} -1.00000 q^{9} -5.79666 q^{10} +(-1.22725 - 1.22725i) q^{11} +(2.22256 - 3.84958i) q^{12} +(1.05331 - 3.44826i) q^{13} +(5.99548 + 3.02821i) q^{14} +(0.590961 + 2.20549i) q^{15} +(3.43442 + 5.94858i) q^{16} +(-3.75960 + 6.51182i) q^{17} +(-2.45222 - 0.657070i) q^{18} +(-4.24907 - 4.24907i) q^{19} +(-9.80368 - 2.62689i) q^{20} +(0.540936 - 2.58986i) q^{21} +(-2.20310 - 3.81588i) q^{22} +(0.0187715 - 0.0108378i) q^{23} +(4.38935 - 4.38935i) q^{24} +(0.184846 - 0.106721i) q^{25} +(4.84871 - 7.76380i) q^{26} +1.00000i q^{27} +(8.76763 + 7.83850i) q^{28} +(0.432921 - 0.749842i) q^{29} +5.79666i q^{30} +(1.55740 - 5.81230i) q^{31} +(1.30008 + 4.85196i) q^{32} +(-1.22725 + 1.22725i) q^{33} +(-13.4981 + 13.4981i) q^{34} +(-6.03160 + 0.337475i) q^{35} +(-3.84958 - 2.22256i) q^{36} +(-2.43056 + 9.07099i) q^{37} +(-7.62770 - 13.2116i) q^{38} +(-3.44826 - 1.05331i) q^{39} +(-12.2746 - 7.08675i) q^{40} +(2.45125 - 0.656811i) q^{41} +(3.02821 - 5.99548i) q^{42} +(1.71095 - 0.987815i) q^{43} +(-1.99677 - 7.45205i) q^{44} +(2.20549 - 0.590961i) q^{45} +(0.0531531 - 0.0142423i) q^{46} +(1.50594 + 5.62025i) q^{47} +(5.94858 - 3.43442i) q^{48} +(6.41478 + 2.80190i) q^{49} +(0.523405 - 0.140246i) q^{50} +(6.51182 + 3.75960i) q^{51} +(11.7188 - 10.9333i) q^{52} +(-6.87167 - 11.9021i) q^{53} +(-0.657070 + 2.45222i) q^{54} +(3.43196 + 1.98144i) q^{55} +(8.99345 + 13.7422i) q^{56} +(-4.24907 + 4.24907i) q^{57} +(1.55432 - 1.55432i) q^{58} +(1.50298 + 5.60919i) q^{59} +(-2.62689 + 9.80368i) q^{60} +3.60438i q^{61} +(7.63818 - 13.2297i) q^{62} +(-2.58986 - 0.540936i) q^{63} -0.985368i q^{64} +(-0.285288 + 8.22760i) q^{65} +(-3.81588 + 2.20310i) q^{66} +(-0.794679 + 0.794679i) q^{67} +(-28.9458 + 16.7119i) q^{68} +(-0.0108378 - 0.0187715i) q^{69} +(-15.0125 - 3.13562i) q^{70} +(12.5434 + 3.36098i) q^{71} +(-4.38935 - 4.38935i) q^{72} +(9.58115 + 2.56726i) q^{73} +(-11.9205 + 20.6470i) q^{74} +(-0.106721 - 0.184846i) q^{75} +(-6.91334 - 25.8009i) q^{76} +(-2.51455 - 3.84228i) q^{77} +(-7.76380 - 4.84871i) q^{78} +(2.16727 - 3.75382i) q^{79} +(-11.0900 - 11.0900i) q^{80} +1.00000 q^{81} +6.44258 q^{82} +(8.64819 + 8.64819i) q^{83} +(7.83850 - 8.76763i) q^{84} +(4.44355 - 16.5836i) q^{85} +(4.84468 - 1.29813i) q^{86} +(-0.749842 - 0.432921i) q^{87} -10.7737i q^{88} +(2.34321 + 0.627860i) q^{89} +5.79666 q^{90} +(4.59323 - 8.36076i) q^{91} +0.0963502 q^{92} +(-5.81230 - 1.55740i) q^{93} +14.7716i q^{94} +(11.8823 + 6.86026i) q^{95} +(4.85196 - 1.30008i) q^{96} +(1.99188 - 7.43379i) q^{97} +(13.8894 + 11.0858i) q^{98} +(1.22725 + 1.22725i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.45222 + 0.657070i 1.73398 + 0.464619i 0.981094 0.193532i \(-0.0619943\pi\)
0.752886 + 0.658150i \(0.228661\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 3.84958 + 2.22256i 1.92479 + 1.11128i
\(5\) −2.20549 + 0.590961i −0.986327 + 0.264286i −0.715707 0.698401i \(-0.753895\pi\)
−0.270620 + 0.962686i \(0.587229\pi\)
\(6\) 0.657070 2.45222i 0.268248 1.00111i
\(7\) 2.58986 + 0.540936i 0.978876 + 0.204455i
\(8\) 4.38935 + 4.38935i 1.55187 + 1.55187i
\(9\) −1.00000 −0.333333
\(10\) −5.79666 −1.83306
\(11\) −1.22725 1.22725i −0.370030 0.370030i 0.497458 0.867488i \(-0.334267\pi\)
−0.867488 + 0.497458i \(0.834267\pi\)
\(12\) 2.22256 3.84958i 0.641597 1.11128i
\(13\) 1.05331 3.44826i 0.292137 0.956377i
\(14\) 5.99548 + 3.02821i 1.60236 + 0.809324i
\(15\) 0.590961 + 2.20549i 0.152585 + 0.569456i
\(16\) 3.43442 + 5.94858i 0.858604 + 1.48715i
\(17\) −3.75960 + 6.51182i −0.911837 + 1.57935i −0.100370 + 0.994950i \(0.532003\pi\)
−0.811467 + 0.584398i \(0.801331\pi\)
\(18\) −2.45222 0.657070i −0.577993 0.154873i
\(19\) −4.24907 4.24907i −0.974803 0.974803i 0.0248877 0.999690i \(-0.492077\pi\)
−0.999690 + 0.0248877i \(0.992077\pi\)
\(20\) −9.80368 2.62689i −2.19217 0.587390i
\(21\) 0.540936 2.58986i 0.118042 0.565154i
\(22\) −2.20310 3.81588i −0.469703 0.813549i
\(23\) 0.0187715 0.0108378i 0.00391414 0.00225983i −0.498042 0.867153i \(-0.665947\pi\)
0.501956 + 0.864893i \(0.332614\pi\)
\(24\) 4.38935 4.38935i 0.895972 0.895972i
\(25\) 0.184846 0.106721i 0.0369691 0.0213441i
\(26\) 4.84871 7.76380i 0.950909 1.52261i
\(27\) 1.00000i 0.192450i
\(28\) 8.76763 + 7.83850i 1.65693 + 1.48134i
\(29\) 0.432921 0.749842i 0.0803915 0.139242i −0.823027 0.568003i \(-0.807716\pi\)
0.903418 + 0.428761i \(0.141050\pi\)
\(30\) 5.79666i 1.05832i
\(31\) 1.55740 5.81230i 0.279718 1.04392i −0.672896 0.739737i \(-0.734950\pi\)
0.952614 0.304183i \(-0.0983835\pi\)
\(32\) 1.30008 + 4.85196i 0.229823 + 0.857713i
\(33\) −1.22725 + 1.22725i −0.213637 + 0.213637i
\(34\) −13.4981 + 13.4981i −2.31490 + 2.31490i
\(35\) −6.03160 + 0.337475i −1.01953 + 0.0570438i
\(36\) −3.84958 2.22256i −0.641597 0.370426i
\(37\) −2.43056 + 9.07099i −0.399582 + 1.49126i 0.414251 + 0.910163i \(0.364044\pi\)
−0.813833 + 0.581099i \(0.802623\pi\)
\(38\) −7.62770 13.2116i −1.23738 2.14320i
\(39\) −3.44826 1.05331i −0.552164 0.168665i
\(40\) −12.2746 7.08675i −1.94079 1.12051i
\(41\) 2.45125 0.656811i 0.382822 0.102577i −0.0622757 0.998059i \(-0.519836\pi\)
0.445097 + 0.895482i \(0.353169\pi\)
\(42\) 3.02821 5.99548i 0.467264 0.925122i
\(43\) 1.71095 0.987815i 0.260917 0.150640i −0.363836 0.931463i \(-0.618533\pi\)
0.624753 + 0.780823i \(0.285200\pi\)
\(44\) −1.99677 7.45205i −0.301025 1.12344i
\(45\) 2.20549 0.590961i 0.328776 0.0880952i
\(46\) 0.0531531 0.0142423i 0.00783699 0.00209992i
\(47\) 1.50594 + 5.62025i 0.219664 + 0.819798i 0.984472 + 0.175540i \(0.0561671\pi\)
−0.764808 + 0.644258i \(0.777166\pi\)
\(48\) 5.94858 3.43442i 0.858604 0.495715i
\(49\) 6.41478 + 2.80190i 0.916397 + 0.400271i
\(50\) 0.523405 0.140246i 0.0740206 0.0198338i
\(51\) 6.51182 + 3.75960i 0.911837 + 0.526449i
\(52\) 11.7188 10.9333i 1.62510 1.51618i
\(53\) −6.87167 11.9021i −0.943897 1.63488i −0.757945 0.652319i \(-0.773796\pi\)
−0.185952 0.982559i \(-0.559537\pi\)
\(54\) −0.657070 + 2.45222i −0.0894159 + 0.333705i
\(55\) 3.43196 + 1.98144i 0.462765 + 0.267177i
\(56\) 8.99345 + 13.7422i 1.20180 + 1.83637i
\(57\) −4.24907 + 4.24907i −0.562803 + 0.562803i
\(58\) 1.55432 1.55432i 0.204092 0.204092i
\(59\) 1.50298 + 5.60919i 0.195671 + 0.730254i 0.992092 + 0.125512i \(0.0400573\pi\)
−0.796421 + 0.604742i \(0.793276\pi\)
\(60\) −2.62689 + 9.80368i −0.339130 + 1.26565i
\(61\) 3.60438i 0.461494i 0.973014 + 0.230747i \(0.0741170\pi\)
−0.973014 + 0.230747i \(0.925883\pi\)
\(62\) 7.63818 13.2297i 0.970050 1.68018i
\(63\) −2.58986 0.540936i −0.326292 0.0681515i
\(64\) 0.985368i 0.123171i
\(65\) −0.285288 + 8.22760i −0.0353857 + 1.02051i
\(66\) −3.81588 + 2.20310i −0.469703 + 0.271183i
\(67\) −0.794679 + 0.794679i −0.0970854 + 0.0970854i −0.753981 0.656896i \(-0.771869\pi\)
0.656896 + 0.753981i \(0.271869\pi\)
\(68\) −28.9458 + 16.7119i −3.51019 + 2.02661i
\(69\) −0.0108378 0.0187715i −0.00130471 0.00225983i
\(70\) −15.0125 3.13562i −1.79434 0.374778i
\(71\) 12.5434 + 3.36098i 1.48862 + 0.398875i 0.909272 0.416203i \(-0.136640\pi\)
0.579350 + 0.815079i \(0.303306\pi\)
\(72\) −4.38935 4.38935i −0.517290 0.517290i
\(73\) 9.58115 + 2.56726i 1.12139 + 0.300475i 0.771445 0.636296i \(-0.219534\pi\)
0.349943 + 0.936771i \(0.386201\pi\)
\(74\) −11.9205 + 20.6470i −1.38574 + 2.40016i
\(75\) −0.106721 0.184846i −0.0123230 0.0213441i
\(76\) −6.91334 25.8009i −0.793014 2.95957i
\(77\) −2.51455 3.84228i −0.286560 0.437868i
\(78\) −7.76380 4.84871i −0.879077 0.549008i
\(79\) 2.16727 3.75382i 0.243837 0.422338i −0.717967 0.696077i \(-0.754927\pi\)
0.961804 + 0.273739i \(0.0882606\pi\)
\(80\) −11.0900 11.0900i −1.23990 1.23990i
\(81\) 1.00000 0.111111
\(82\) 6.44258 0.711464
\(83\) 8.64819 + 8.64819i 0.949263 + 0.949263i 0.998774 0.0495109i \(-0.0157663\pi\)
−0.0495109 + 0.998774i \(0.515766\pi\)
\(84\) 7.83850 8.76763i 0.855250 0.956627i
\(85\) 4.44355 16.5836i 0.481971 1.79874i
\(86\) 4.84468 1.29813i 0.522415 0.139981i
\(87\) −0.749842 0.432921i −0.0803915 0.0464141i
\(88\) 10.7737i 1.14848i
\(89\) 2.34321 + 0.627860i 0.248379 + 0.0665530i 0.380861 0.924632i \(-0.375628\pi\)
−0.132481 + 0.991186i \(0.542294\pi\)
\(90\) 5.79666 0.611021
\(91\) 4.59323 8.36076i 0.481501 0.876446i
\(92\) 0.0963502 0.0100452
\(93\) −5.81230 1.55740i −0.602708 0.161495i
\(94\) 14.7716i 1.52357i
\(95\) 11.8823 + 6.86026i 1.21910 + 0.703848i
\(96\) 4.85196 1.30008i 0.495201 0.132689i
\(97\) 1.99188 7.43379i 0.202245 0.754787i −0.788027 0.615641i \(-0.788897\pi\)
0.990272 0.139147i \(-0.0444360\pi\)
\(98\) 13.8894 + 11.0858i 1.40304 + 1.11984i
\(99\) 1.22725 + 1.22725i 0.123343 + 0.123343i
\(100\) 0.948771 0.0948771
\(101\) −4.46176 −0.443961 −0.221981 0.975051i \(-0.571252\pi\)
−0.221981 + 0.975051i \(0.571252\pi\)
\(102\) 13.4981 + 13.4981i 1.33651 + 1.33651i
\(103\) −4.23657 + 7.33795i −0.417441 + 0.723030i −0.995681 0.0928371i \(-0.970406\pi\)
0.578240 + 0.815867i \(0.303740\pi\)
\(104\) 19.7590 10.5123i 1.93753 1.03081i
\(105\) 0.337475 + 6.03160i 0.0329342 + 0.588624i
\(106\) −9.03034 33.7017i −0.877104 3.27340i
\(107\) −5.06882 8.77945i −0.490021 0.848741i 0.509913 0.860226i \(-0.329678\pi\)
−0.999934 + 0.0114847i \(0.996344\pi\)
\(108\) −2.22256 + 3.84958i −0.213866 + 0.370426i
\(109\) 3.92728 + 1.05231i 0.376165 + 0.100793i 0.441948 0.897041i \(-0.354288\pi\)
−0.0657825 + 0.997834i \(0.520954\pi\)
\(110\) 7.11396 + 7.11396i 0.678290 + 0.678290i
\(111\) 9.07099 + 2.43056i 0.860980 + 0.230699i
\(112\) 5.67686 + 17.2638i 0.536413 + 1.63128i
\(113\) −2.30418 3.99096i −0.216759 0.375438i 0.737056 0.675831i \(-0.236215\pi\)
−0.953815 + 0.300394i \(0.902882\pi\)
\(114\) −13.2116 + 7.62770i −1.23738 + 0.714400i
\(115\) −0.0349958 + 0.0349958i −0.00326338 + 0.00326338i
\(116\) 3.33314 1.92439i 0.309474 0.178675i
\(117\) −1.05331 + 3.44826i −0.0973788 + 0.318792i
\(118\) 14.7425i 1.35716i
\(119\) −13.2593 + 14.8310i −1.21548 + 1.35956i
\(120\) −7.08675 + 12.2746i −0.646929 + 1.12051i
\(121\) 7.98770i 0.726155i
\(122\) −2.36833 + 8.83874i −0.214419 + 0.800222i
\(123\) −0.656811 2.45125i −0.0592227 0.221022i
\(124\) 18.9135 18.9135i 1.69849 1.69849i
\(125\) 7.72806 7.72806i 0.691219 0.691219i
\(126\) −5.99548 3.02821i −0.534120 0.269775i
\(127\) 2.76191 + 1.59459i 0.245080 + 0.141497i 0.617509 0.786564i \(-0.288142\pi\)
−0.372430 + 0.928060i \(0.621475\pi\)
\(128\) 3.24761 12.1202i 0.287051 1.07129i
\(129\) −0.987815 1.71095i −0.0869723 0.150640i
\(130\) −6.10570 + 19.9884i −0.535505 + 1.75310i
\(131\) −7.19475 4.15389i −0.628608 0.362927i 0.151605 0.988441i \(-0.451556\pi\)
−0.780213 + 0.625514i \(0.784889\pi\)
\(132\) −7.45205 + 1.99677i −0.648618 + 0.173797i
\(133\) −8.70602 13.3030i −0.754908 1.15351i
\(134\) −2.47088 + 1.42657i −0.213452 + 0.123237i
\(135\) −0.590961 2.20549i −0.0508618 0.189819i
\(136\) −45.0848 + 12.0804i −3.86599 + 1.03589i
\(137\) −4.84610 + 1.29851i −0.414031 + 0.110939i −0.459820 0.888012i \(-0.652086\pi\)
0.0457898 + 0.998951i \(0.485420\pi\)
\(138\) −0.0142423 0.0531531i −0.00121239 0.00452469i
\(139\) −2.35400 + 1.35908i −0.199663 + 0.115276i −0.596498 0.802614i \(-0.703442\pi\)
0.396835 + 0.917890i \(0.370108\pi\)
\(140\) −23.9692 12.1064i −2.02577 1.02318i
\(141\) 5.62025 1.50594i 0.473310 0.126823i
\(142\) 28.5506 + 16.4837i 2.39592 + 1.38328i
\(143\) −5.52457 + 2.93921i −0.461988 + 0.245789i
\(144\) −3.43442 5.94858i −0.286201 0.495715i
\(145\) −0.511679 + 1.90961i −0.0424926 + 0.158585i
\(146\) 21.8082 + 12.5910i 1.80486 + 1.04204i
\(147\) 2.80190 6.41478i 0.231097 0.529082i
\(148\) −29.5175 + 29.5175i −2.42632 + 2.42632i
\(149\) −15.9474 + 15.9474i −1.30647 + 1.30647i −0.382518 + 0.923948i \(0.624943\pi\)
−0.923948 + 0.382518i \(0.875057\pi\)
\(150\) −0.140246 0.523405i −0.0114510 0.0427358i
\(151\) −5.41469 + 20.2079i −0.440641 + 1.64450i 0.286553 + 0.958064i \(0.407490\pi\)
−0.727195 + 0.686431i \(0.759176\pi\)
\(152\) 37.3013i 3.02553i
\(153\) 3.75960 6.51182i 0.303946 0.526449i
\(154\) −3.64158 11.0743i −0.293447 0.892396i
\(155\) 13.7394i 1.10357i
\(156\) −10.9333 11.7188i −0.875367 0.938254i
\(157\) 5.68992 3.28508i 0.454105 0.262178i −0.255457 0.966820i \(-0.582226\pi\)
0.709563 + 0.704643i \(0.248893\pi\)
\(158\) 7.78114 7.78114i 0.619034 0.619034i
\(159\) −11.9021 + 6.87167i −0.943897 + 0.544959i
\(160\) −5.73463 9.93267i −0.453362 0.785246i
\(161\) 0.0544782 0.0179141i 0.00429349 0.00141183i
\(162\) 2.45222 + 0.657070i 0.192664 + 0.0516243i
\(163\) 17.1549 + 17.1549i 1.34368 + 1.34368i 0.892367 + 0.451310i \(0.149043\pi\)
0.451310 + 0.892367i \(0.350957\pi\)
\(164\) 10.8961 + 2.91960i 0.850843 + 0.227983i
\(165\) 1.98144 3.43196i 0.154255 0.267177i
\(166\) 15.5248 + 26.8897i 1.20496 + 2.08705i
\(167\) 1.98472 + 7.40707i 0.153582 + 0.573176i 0.999223 + 0.0394232i \(0.0125520\pi\)
−0.845641 + 0.533753i \(0.820781\pi\)
\(168\) 13.7422 8.99345i 1.06023 0.693860i
\(169\) −10.7811 7.26421i −0.829312 0.558785i
\(170\) 21.7931 37.7468i 1.67146 2.89505i
\(171\) 4.24907 + 4.24907i 0.324934 + 0.324934i
\(172\) 8.78191 0.669614
\(173\) 0.223665 0.0170049 0.00850246 0.999964i \(-0.497294\pi\)
0.00850246 + 0.999964i \(0.497294\pi\)
\(174\) −1.55432 1.55432i −0.117832 0.117832i
\(175\) 0.536454 0.176402i 0.0405521 0.0133348i
\(176\) 3.08552 11.5153i 0.232580 0.867999i
\(177\) 5.60919 1.50298i 0.421612 0.112971i
\(178\) 5.33351 + 3.07930i 0.399763 + 0.230803i
\(179\) 10.8654i 0.812115i −0.913848 0.406058i \(-0.866903\pi\)
0.913848 0.406058i \(-0.133097\pi\)
\(180\) 9.80368 + 2.62689i 0.730723 + 0.195797i
\(181\) −0.436016 −0.0324088 −0.0162044 0.999869i \(-0.505158\pi\)
−0.0162044 + 0.999869i \(0.505158\pi\)
\(182\) 16.7572 17.4843i 1.24213 1.29603i
\(183\) 3.60438 0.266444
\(184\) 0.129966 + 0.0348242i 0.00958119 + 0.00256727i
\(185\) 21.4424i 1.57648i
\(186\) −13.2297 7.63818i −0.970050 0.560059i
\(187\) 12.6056 3.37767i 0.921815 0.246999i
\(188\) −6.69409 + 24.9827i −0.488216 + 1.82205i
\(189\) −0.540936 + 2.58986i −0.0393473 + 0.188385i
\(190\) 24.6304 + 24.6304i 1.78688 + 1.78688i
\(191\) −8.84445 −0.639962 −0.319981 0.947424i \(-0.603677\pi\)
−0.319981 + 0.947424i \(0.603677\pi\)
\(192\) −0.985368 −0.0711128
\(193\) −6.37156 6.37156i −0.458635 0.458635i 0.439572 0.898207i \(-0.355130\pi\)
−0.898207 + 0.439572i \(0.855130\pi\)
\(194\) 9.76905 16.9205i 0.701377 1.21482i
\(195\) 8.22760 + 0.285288i 0.589190 + 0.0204299i
\(196\) 18.4668 + 25.0434i 1.31906 + 1.78881i
\(197\) −3.23591 12.0766i −0.230549 0.860421i −0.980105 0.198480i \(-0.936400\pi\)
0.749556 0.661941i \(-0.230267\pi\)
\(198\) 2.20310 + 3.81588i 0.156568 + 0.271183i
\(199\) −4.17254 + 7.22706i −0.295784 + 0.512313i −0.975167 0.221471i \(-0.928914\pi\)
0.679383 + 0.733784i \(0.262247\pi\)
\(200\) 1.27979 + 0.342918i 0.0904945 + 0.0242479i
\(201\) 0.794679 + 0.794679i 0.0560523 + 0.0560523i
\(202\) −10.9412 2.93169i −0.769820 0.206273i
\(203\) 1.52682 1.70781i 0.107162 0.119864i
\(204\) 16.7119 + 28.9458i 1.17006 + 2.02661i
\(205\) −5.01808 + 2.89719i −0.350478 + 0.202348i
\(206\) −15.2105 + 15.2105i −1.05977 + 1.05977i
\(207\) −0.0187715 + 0.0108378i −0.00130471 + 0.000753276i
\(208\) 24.1298 5.57706i 1.67310 0.386699i
\(209\) 10.4294i 0.721413i
\(210\) −3.13562 + 15.0125i −0.216378 + 1.03596i
\(211\) −0.0517275 + 0.0895946i −0.00356106 + 0.00616794i −0.867800 0.496913i \(-0.834467\pi\)
0.864239 + 0.503081i \(0.167800\pi\)
\(212\) 61.0908i 4.19573i
\(213\) 3.36098 12.5434i 0.230291 0.859456i
\(214\) −6.66114 24.8597i −0.455346 1.69937i
\(215\) −3.18972 + 3.18972i −0.217537 + 0.217537i
\(216\) −4.38935 + 4.38935i −0.298657 + 0.298657i
\(217\) 7.17754 14.2106i 0.487243 0.964679i
\(218\) 8.93911 + 5.16100i 0.605433 + 0.349547i
\(219\) 2.56726 9.58115i 0.173479 0.647434i
\(220\) 8.80774 + 15.2554i 0.593817 + 1.02852i
\(221\) 18.4944 + 19.8231i 1.24407 + 1.33345i
\(222\) 20.6470 + 11.9205i 1.38574 + 0.800055i
\(223\) −25.3112 + 6.78211i −1.69496 + 0.454163i −0.971663 0.236372i \(-0.924041\pi\)
−0.723298 + 0.690536i \(0.757375\pi\)
\(224\) 0.742426 + 13.2692i 0.0496054 + 0.886583i
\(225\) −0.184846 + 0.106721i −0.0123230 + 0.00711471i
\(226\) −3.02802 11.3007i −0.201421 0.751712i
\(227\) 13.1489 3.52323i 0.872722 0.233845i 0.205458 0.978666i \(-0.434132\pi\)
0.667265 + 0.744821i \(0.267465\pi\)
\(228\) −25.8009 + 6.91334i −1.70871 + 0.457847i
\(229\) −6.29210 23.4824i −0.415794 1.55176i −0.783241 0.621719i \(-0.786435\pi\)
0.367447 0.930044i \(-0.380232\pi\)
\(230\) −0.108812 + 0.0628227i −0.00717486 + 0.00414241i
\(231\) −3.84228 + 2.51455i −0.252803 + 0.165445i
\(232\) 5.19156 1.39107i 0.340843 0.0913285i
\(233\) 8.29904 + 4.79145i 0.543688 + 0.313899i 0.746572 0.665304i \(-0.231698\pi\)
−0.202884 + 0.979203i \(0.565031\pi\)
\(234\) −4.84871 + 7.76380i −0.316970 + 0.507535i
\(235\) −6.64269 11.5055i −0.433321 0.750535i
\(236\) −6.68091 + 24.9335i −0.434890 + 1.62303i
\(237\) −3.75382 2.16727i −0.243837 0.140779i
\(238\) −42.2598 + 27.6566i −2.73929 + 1.79271i
\(239\) 5.64222 5.64222i 0.364965 0.364965i −0.500672 0.865637i \(-0.666914\pi\)
0.865637 + 0.500672i \(0.166914\pi\)
\(240\) −11.0900 + 11.0900i −0.715854 + 0.715854i
\(241\) 6.56799 + 24.5121i 0.423081 + 1.57896i 0.768078 + 0.640357i \(0.221213\pi\)
−0.344997 + 0.938604i \(0.612120\pi\)
\(242\) 5.24848 19.5876i 0.337385 1.25914i
\(243\) 1.00000i 0.0641500i
\(244\) −8.01095 + 13.8754i −0.512849 + 0.888280i
\(245\) −15.8036 2.38869i −1.00965 0.152608i
\(246\) 6.44258i 0.410764i
\(247\) −19.1275 + 10.1763i −1.21705 + 0.647503i
\(248\) 32.3482 18.6762i 2.05411 1.18594i
\(249\) 8.64819 8.64819i 0.548057 0.548057i
\(250\) 24.0288 13.8730i 1.51971 0.877407i
\(251\) −5.75368 9.96567i −0.363169 0.629027i 0.625311 0.780375i \(-0.284972\pi\)
−0.988481 + 0.151348i \(0.951639\pi\)
\(252\) −8.76763 7.83850i −0.552309 0.493779i
\(253\) −0.0363381 0.00973676i −0.00228456 0.000612145i
\(254\) 5.72504 + 5.72504i 0.359221 + 0.359221i
\(255\) −16.5836 4.44355i −1.03850 0.278266i
\(256\) 14.9423 25.8809i 0.933896 1.61756i
\(257\) −13.6912 23.7139i −0.854036 1.47923i −0.877536 0.479511i \(-0.840814\pi\)
0.0234997 0.999724i \(-0.492519\pi\)
\(258\) −1.29813 4.84468i −0.0808179 0.301616i
\(259\) −11.2017 + 22.1778i −0.696037 + 1.37806i
\(260\) −19.3846 + 31.0388i −1.20218 + 1.92494i
\(261\) −0.432921 + 0.749842i −0.0267972 + 0.0464141i
\(262\) −14.9137 14.9137i −0.921372 0.921372i
\(263\) −20.2715 −1.25000 −0.624998 0.780627i \(-0.714900\pi\)
−0.624998 + 0.780627i \(0.714900\pi\)
\(264\) −10.7737 −0.663074
\(265\) 22.1891 + 22.1891i 1.36307 + 1.36307i
\(266\) −12.6081 38.3423i −0.773052 2.35091i
\(267\) 0.627860 2.34321i 0.0384244 0.143402i
\(268\) −4.82540 + 1.29296i −0.294758 + 0.0789803i
\(269\) 1.57225 + 0.907738i 0.0958617 + 0.0553458i 0.547164 0.837025i \(-0.315707\pi\)
−0.451303 + 0.892371i \(0.649041\pi\)
\(270\) 5.79666i 0.352773i
\(271\) −21.2681 5.69876i −1.29194 0.346175i −0.453545 0.891234i \(-0.649841\pi\)
−0.838398 + 0.545059i \(0.816507\pi\)
\(272\) −51.6481 −3.13163
\(273\) −8.36076 4.59323i −0.506016 0.277995i
\(274\) −12.7369 −0.769466
\(275\) −0.357825 0.0958790i −0.0215777 0.00578172i
\(276\) 0.0963502i 0.00579960i
\(277\) 17.5808 + 10.1503i 1.05633 + 0.609873i 0.924415 0.381388i \(-0.124554\pi\)
0.131916 + 0.991261i \(0.457887\pi\)
\(278\) −6.66553 + 1.78602i −0.399772 + 0.107119i
\(279\) −1.55740 + 5.81230i −0.0932392 + 0.347974i
\(280\) −27.9561 24.9935i −1.67070 1.49365i
\(281\) −14.1904 14.1904i −0.846529 0.846529i 0.143169 0.989698i \(-0.454271\pi\)
−0.989698 + 0.143169i \(0.954271\pi\)
\(282\) 14.7716 0.879636
\(283\) 6.80207 0.404341 0.202171 0.979350i \(-0.435200\pi\)
0.202171 + 0.979350i \(0.435200\pi\)
\(284\) 40.8167 + 40.8167i 2.42203 + 2.42203i
\(285\) 6.86026 11.8823i 0.406367 0.703848i
\(286\) −15.4787 + 3.57755i −0.915276 + 0.211545i
\(287\) 6.70370 0.375080i 0.395707 0.0221403i
\(288\) −1.30008 4.85196i −0.0766078 0.285904i
\(289\) −19.7692 34.2413i −1.16289 2.01419i
\(290\) −2.50950 + 4.34658i −0.147363 + 0.255240i
\(291\) −7.43379 1.99188i −0.435777 0.116766i
\(292\) 31.1775 + 31.1775i 1.82453 + 1.82453i
\(293\) −20.5482 5.50587i −1.20044 0.321656i −0.397435 0.917630i \(-0.630099\pi\)
−0.803004 + 0.595974i \(0.796766\pi\)
\(294\) 11.0858 13.8894i 0.646539 0.810046i
\(295\) −6.62962 11.4828i −0.385991 0.668557i
\(296\) −50.4843 + 29.1471i −2.93434 + 1.69414i
\(297\) 1.22725 1.22725i 0.0712124 0.0712124i
\(298\) −49.5852 + 28.6280i −2.87239 + 1.65838i
\(299\) −0.0175991 0.0761448i −0.00101778 0.00440357i
\(300\) 0.948771i 0.0547773i
\(301\) 4.96546 1.63279i 0.286204 0.0941127i
\(302\) −26.5560 + 45.9964i −1.52813 + 2.64679i
\(303\) 4.46176i 0.256321i
\(304\) 10.6829 39.8690i 0.612704 2.28664i
\(305\) −2.13005 7.94945i −0.121966 0.455184i
\(306\) 13.4981 13.4981i 0.771634 0.771634i
\(307\) 17.4862 17.4862i 0.997992 0.997992i −0.00200593 0.999998i \(-0.500639\pi\)
0.999998 + 0.00200593i \(0.000638508\pi\)
\(308\) −1.14028 20.3799i −0.0649736 1.16125i
\(309\) 7.33795 + 4.23657i 0.417441 + 0.241010i
\(310\) −9.02773 + 33.6919i −0.512740 + 1.91357i
\(311\) −1.90903 3.30654i −0.108251 0.187497i 0.806811 0.590810i \(-0.201192\pi\)
−0.915062 + 0.403314i \(0.867858\pi\)
\(312\) −10.5123 19.7590i −0.595141 1.11863i
\(313\) −11.1229 6.42180i −0.628702 0.362981i 0.151547 0.988450i \(-0.451575\pi\)
−0.780249 + 0.625469i \(0.784908\pi\)
\(314\) 16.1115 4.31705i 0.909223 0.243625i
\(315\) 6.03160 0.337475i 0.339842 0.0190146i
\(316\) 16.6862 9.63376i 0.938670 0.541941i
\(317\) 2.44740 + 9.13383i 0.137460 + 0.513007i 0.999976 + 0.00697710i \(0.00222090\pi\)
−0.862516 + 0.506030i \(0.831112\pi\)
\(318\) −33.7017 + 9.03034i −1.88990 + 0.506396i
\(319\) −1.45155 + 0.388941i −0.0812712 + 0.0217765i
\(320\) 0.582314 + 2.17322i 0.0325523 + 0.121487i
\(321\) −8.77945 + 5.06882i −0.490021 + 0.282914i
\(322\) 0.145363 0.00813326i 0.00810078 0.000453249i
\(323\) 43.6439 11.6944i 2.42841 0.650692i
\(324\) 3.84958 + 2.22256i 0.213866 + 0.123475i
\(325\) −0.173301 0.749807i −0.00961299 0.0415918i
\(326\) 30.7956 + 53.3396i 1.70561 + 2.95421i
\(327\) 1.05231 3.92728i 0.0581930 0.217179i
\(328\) 13.6424 + 7.87643i 0.753275 + 0.434903i
\(329\) 0.859987 + 15.3703i 0.0474126 + 0.847392i
\(330\) 7.11396 7.11396i 0.391611 0.391611i
\(331\) 11.1115 11.1115i 0.610743 0.610743i −0.332397 0.943140i \(-0.607857\pi\)
0.943140 + 0.332397i \(0.107857\pi\)
\(332\) 14.0708 + 52.5131i 0.772237 + 2.88203i
\(333\) 2.43056 9.07099i 0.133194 0.497087i
\(334\) 19.4678i 1.06523i
\(335\) 1.28304 2.22228i 0.0700997 0.121416i
\(336\) 17.2638 5.67686i 0.941818 0.309698i
\(337\) 1.41323i 0.0769835i −0.999259 0.0384917i \(-0.987745\pi\)
0.999259 0.0384917i \(-0.0122553\pi\)
\(338\) −21.6644 24.8973i −1.17839 1.35424i
\(339\) −3.99096 + 2.30418i −0.216759 + 0.125146i
\(340\) 53.9638 53.9638i 2.92660 2.92660i
\(341\) −9.04449 + 5.22184i −0.489786 + 0.282778i
\(342\) 7.62770 + 13.2116i 0.412459 + 0.714400i
\(343\) 15.0977 + 10.7265i 0.815201 + 0.579177i
\(344\) 11.8458 + 3.17407i 0.638683 + 0.171135i
\(345\) 0.0349958 + 0.0349958i 0.00188411 + 0.00188411i
\(346\) 0.548475 + 0.146963i 0.0294862 + 0.00790081i
\(347\) −2.75091 + 4.76472i −0.147677 + 0.255784i −0.930368 0.366626i \(-0.880513\pi\)
0.782692 + 0.622410i \(0.213846\pi\)
\(348\) −1.92439 3.33314i −0.103158 0.178675i
\(349\) −3.51381 13.1137i −0.188090 0.701960i −0.993948 0.109852i \(-0.964962\pi\)
0.805858 0.592109i \(-0.201704\pi\)
\(350\) 1.43141 0.0800892i 0.0765121 0.00428095i
\(351\) 3.44826 + 1.05331i 0.184055 + 0.0562217i
\(352\) 4.35905 7.55010i 0.232338 0.402421i
\(353\) −5.48924 5.48924i −0.292163 0.292163i 0.545771 0.837934i \(-0.316237\pi\)
−0.837934 + 0.545771i \(0.816237\pi\)
\(354\) 14.7425 0.783556
\(355\) −29.6505 −1.57369
\(356\) 7.62491 + 7.62491i 0.404120 + 0.404120i
\(357\) 14.8310 + 13.2593i 0.784941 + 0.701758i
\(358\) 7.13930 26.6442i 0.377324 1.40819i
\(359\) 22.0147 5.89881i 1.16189 0.311327i 0.374169 0.927360i \(-0.377928\pi\)
0.787720 + 0.616033i \(0.211261\pi\)
\(360\) 12.2746 + 7.08675i 0.646929 + 0.373505i
\(361\) 17.1091i 0.900480i
\(362\) −1.06921 0.286493i −0.0561962 0.0150577i
\(363\) −7.98770 −0.419246
\(364\) 36.2643 21.9767i 1.90077 1.15189i
\(365\) −22.6483 −1.18547
\(366\) 8.83874 + 2.36833i 0.462008 + 0.123795i
\(367\) 21.2751i 1.11055i 0.831666 + 0.555276i \(0.187388\pi\)
−0.831666 + 0.555276i \(0.812612\pi\)
\(368\) 0.128939 + 0.0744427i 0.00672139 + 0.00388059i
\(369\) −2.45125 + 0.656811i −0.127607 + 0.0341922i
\(370\) 14.0891 52.5814i 0.732460 2.73358i
\(371\) −11.3584 34.5419i −0.589700 1.79333i
\(372\) −18.9135 18.9135i −0.980621 0.980621i
\(373\) 16.6520 0.862207 0.431104 0.902302i \(-0.358124\pi\)
0.431104 + 0.902302i \(0.358124\pi\)
\(374\) 33.1311 1.71317
\(375\) −7.72806 7.72806i −0.399075 0.399075i
\(376\) −18.0591 + 31.2793i −0.931329 + 1.61311i
\(377\) −2.12965 2.28265i −0.109683 0.117562i
\(378\) −3.02821 + 5.99548i −0.155755 + 0.308374i
\(379\) −4.72716 17.6420i −0.242818 0.906209i −0.974468 0.224528i \(-0.927916\pi\)
0.731649 0.681681i \(-0.238751\pi\)
\(380\) 30.4947 + 52.8183i 1.56434 + 2.70952i
\(381\) 1.59459 2.76191i 0.0816932 0.141497i
\(382\) −21.6885 5.81142i −1.10968 0.297338i
\(383\) 18.8703 + 18.8703i 0.964225 + 0.964225i 0.999382 0.0351564i \(-0.0111929\pi\)
−0.0351564 + 0.999382i \(0.511193\pi\)
\(384\) −12.1202 3.24761i −0.618509 0.165729i
\(385\) 7.81646 + 6.98813i 0.398364 + 0.356148i
\(386\) −11.4379 19.8110i −0.582174 1.00835i
\(387\) −1.71095 + 0.987815i −0.0869723 + 0.0502135i
\(388\) 24.1899 24.1899i 1.22806 1.22806i
\(389\) 0.958138 0.553181i 0.0485795 0.0280474i −0.475514 0.879708i \(-0.657738\pi\)
0.524093 + 0.851661i \(0.324404\pi\)
\(390\) 19.9884 + 6.10570i 1.01215 + 0.309174i
\(391\) 0.162983i 0.00824238i
\(392\) 15.8582 + 40.4552i 0.800959 + 2.04330i
\(393\) −4.15389 + 7.19475i −0.209536 + 0.362927i
\(394\) 31.7406i 1.59907i
\(395\) −2.56154 + 9.55980i −0.128885 + 0.481006i
\(396\) 1.99677 + 7.45205i 0.100342 + 0.374480i
\(397\) −10.0331 + 10.0331i −0.503548 + 0.503548i −0.912539 0.408990i \(-0.865881\pi\)
0.408990 + 0.912539i \(0.365881\pi\)
\(398\) −14.9807 + 14.9807i −0.750913 + 0.750913i
\(399\) −13.3030 + 8.70602i −0.665981 + 0.435846i
\(400\) 1.26967 + 0.733046i 0.0634837 + 0.0366523i
\(401\) −0.590311 + 2.20307i −0.0294787 + 0.110016i −0.979098 0.203391i \(-0.934804\pi\)
0.949619 + 0.313407i \(0.101470\pi\)
\(402\) 1.42657 + 2.47088i 0.0711506 + 0.123237i
\(403\) −18.4019 11.4925i −0.916665 0.572483i
\(404\) −17.1759 9.91652i −0.854533 0.493365i
\(405\) −2.20549 + 0.590961i −0.109592 + 0.0293651i
\(406\) 4.86625 3.18468i 0.241508 0.158053i
\(407\) 14.1153 8.14948i 0.699670 0.403955i
\(408\) 12.0804 + 45.0848i 0.598071 + 2.23203i
\(409\) 19.0509 5.10468i 0.942008 0.252410i 0.245041 0.969513i \(-0.421199\pi\)
0.696968 + 0.717102i \(0.254532\pi\)
\(410\) −14.2091 + 3.80731i −0.701736 + 0.188030i
\(411\) 1.29851 + 4.84610i 0.0640508 + 0.239041i
\(412\) −32.6180 + 18.8320i −1.60698 + 0.927788i
\(413\) 0.858294 + 15.3400i 0.0422339 + 0.754834i
\(414\) −0.0531531 + 0.0142423i −0.00261233 + 0.000699972i
\(415\) −24.1843 13.9628i −1.18716 0.685407i
\(416\) 18.1002 + 0.627617i 0.887436 + 0.0307715i
\(417\) 1.35908 + 2.35400i 0.0665545 + 0.115276i
\(418\) −6.85281 + 25.5751i −0.335182 + 1.25092i
\(419\) 11.9093 + 6.87586i 0.581809 + 0.335908i 0.761852 0.647751i \(-0.224290\pi\)
−0.180043 + 0.983659i \(0.557624\pi\)
\(420\) −12.1064 + 23.9692i −0.590734 + 1.16958i
\(421\) −18.9223 + 18.9223i −0.922215 + 0.922215i −0.997186 0.0749709i \(-0.976114\pi\)
0.0749709 + 0.997186i \(0.476114\pi\)
\(422\) −0.185717 + 0.185717i −0.00904056 + 0.00904056i
\(423\) −1.50594 5.62025i −0.0732214 0.273266i
\(424\) 22.0802 82.4046i 1.07231 4.00192i
\(425\) 1.60491i 0.0778495i
\(426\) 16.4837 28.5506i 0.798639 1.38328i
\(427\) −1.94974 + 9.33486i −0.0943545 + 0.451745i
\(428\) 45.0630i 2.17820i
\(429\) 2.93921 + 5.52457i 0.141906 + 0.266729i
\(430\) −9.91777 + 5.72603i −0.478277 + 0.276134i
\(431\) 20.1127 20.1127i 0.968793 0.968793i −0.0307350 0.999528i \(-0.509785\pi\)
0.999528 + 0.0307350i \(0.00978479\pi\)
\(432\) −5.94858 + 3.43442i −0.286201 + 0.165238i
\(433\) 12.8931 + 22.3315i 0.619602 + 1.07318i 0.989558 + 0.144132i \(0.0460391\pi\)
−0.369957 + 0.929049i \(0.620628\pi\)
\(434\) 26.9383 30.1314i 1.29308 1.44635i
\(435\) 1.90961 + 0.511679i 0.0915589 + 0.0245331i
\(436\) 12.7796 + 12.7796i 0.612030 + 0.612030i
\(437\) −0.125812 0.0337112i −0.00601840 0.00161262i
\(438\) 12.5910 21.8082i 0.601620 1.04204i
\(439\) −1.23875 2.14557i −0.0591222 0.102403i 0.834949 0.550327i \(-0.185497\pi\)
−0.894072 + 0.447924i \(0.852164\pi\)
\(440\) 6.36682 + 23.7613i 0.303526 + 1.13277i
\(441\) −6.41478 2.80190i −0.305466 0.133424i
\(442\) 32.3273 + 60.7627i 1.53765 + 2.89019i
\(443\) −11.6371 + 20.1560i −0.552894 + 0.957641i 0.445170 + 0.895446i \(0.353143\pi\)
−0.998064 + 0.0621947i \(0.980190\pi\)
\(444\) 29.5175 + 29.5175i 1.40084 + 1.40084i
\(445\) −5.53897 −0.262572
\(446\) −66.5248 −3.15004
\(447\) 15.9474 + 15.9474i 0.754288 + 0.754288i
\(448\) 0.533021 2.55197i 0.0251829 0.120569i
\(449\) −2.13306 + 7.96070i −0.100665 + 0.375688i −0.997817 0.0660335i \(-0.978966\pi\)
0.897152 + 0.441722i \(0.145632\pi\)
\(450\) −0.523405 + 0.140246i −0.0246735 + 0.00661125i
\(451\) −3.81438 2.20223i −0.179612 0.103699i
\(452\) 20.4847i 0.963520i
\(453\) 20.2079 + 5.41469i 0.949450 + 0.254404i
\(454\) 34.5590 1.62193
\(455\) −5.18946 + 21.1540i −0.243286 + 0.991716i
\(456\) −37.3013 −1.74679
\(457\) 5.33153 + 1.42858i 0.249399 + 0.0668261i 0.381352 0.924430i \(-0.375458\pi\)
−0.131954 + 0.991256i \(0.542125\pi\)
\(458\) 61.7184i 2.88391i
\(459\) −6.51182 3.75960i −0.303946 0.175483i
\(460\) −0.212500 + 0.0569391i −0.00990785 + 0.00265480i
\(461\) 8.89222 33.1862i 0.414152 1.54564i −0.372377 0.928082i \(-0.621457\pi\)
0.786529 0.617554i \(-0.211876\pi\)
\(462\) −11.0743 + 3.64158i −0.515225 + 0.169422i
\(463\) 10.3935 + 10.3935i 0.483025 + 0.483025i 0.906096 0.423072i \(-0.139048\pi\)
−0.423072 + 0.906096i \(0.639048\pi\)
\(464\) 5.94733 0.276098
\(465\) 13.7394 0.637148
\(466\) 17.2027 + 17.2027i 0.796902 + 0.796902i
\(467\) 10.6589 18.4618i 0.493237 0.854311i −0.506733 0.862103i \(-0.669147\pi\)
0.999970 + 0.00779214i \(0.00248034\pi\)
\(468\) −11.7188 + 10.9333i −0.541701 + 0.505394i
\(469\) −2.48798 + 1.62824i −0.114884 + 0.0751850i
\(470\) −8.72943 32.5787i −0.402658 1.50274i
\(471\) −3.28508 5.68992i −0.151368 0.262178i
\(472\) −18.0236 + 31.2178i −0.829603 + 1.43691i
\(473\) −3.31206 0.887464i −0.152289 0.0408056i
\(474\) −7.78114 7.78114i −0.357399 0.357399i
\(475\) −1.23888 0.331958i −0.0568439 0.0152313i
\(476\) −84.0057 + 27.6236i −3.85039 + 1.26613i
\(477\) 6.87167 + 11.9021i 0.314632 + 0.544959i
\(478\) 17.5433 10.1286i 0.802411 0.463272i
\(479\) 10.5215 10.5215i 0.480740 0.480740i −0.424628 0.905368i \(-0.639595\pi\)
0.905368 + 0.424628i \(0.139595\pi\)
\(480\) −9.93267 + 5.73463i −0.453362 + 0.261749i
\(481\) 28.7190 + 17.9358i 1.30947 + 0.817803i
\(482\) 64.4246i 2.93446i
\(483\) −0.0179141 0.0544782i −0.000815120 0.00247885i
\(484\) 17.7531 30.7493i 0.806961 1.39770i
\(485\) 17.5723i 0.797918i
\(486\) 0.657070 2.45222i 0.0298053 0.111235i
\(487\) 3.73572 + 13.9419i 0.169281 + 0.631767i 0.997455 + 0.0712956i \(0.0227134\pi\)
−0.828174 + 0.560471i \(0.810620\pi\)
\(488\) −15.8209 + 15.8209i −0.716178 + 0.716178i
\(489\) 17.1549 17.1549i 0.775772 0.775772i
\(490\) −37.1843 16.2416i −1.67981 0.733723i
\(491\) 0.458913 + 0.264954i 0.0207105 + 0.0119572i 0.510319 0.859985i \(-0.329527\pi\)
−0.489609 + 0.871942i \(0.662860\pi\)
\(492\) 2.91960 10.8961i 0.131626 0.491235i
\(493\) 3.25522 + 5.63821i 0.146608 + 0.253932i
\(494\) −53.5914 + 12.3864i −2.41119 + 0.557291i
\(495\) −3.43196 1.98144i −0.154255 0.0890591i
\(496\) 39.9237 10.6975i 1.79263 0.480333i
\(497\) 30.6675 + 15.4896i 1.37562 + 0.694805i
\(498\) 26.8897 15.5248i 1.20496 0.695683i
\(499\) 6.57425 + 24.5354i 0.294304 + 1.09836i 0.941769 + 0.336261i \(0.109163\pi\)
−0.647465 + 0.762095i \(0.724171\pi\)
\(500\) 46.9259 12.5738i 2.09859 0.562316i
\(501\) 7.40707 1.98472i 0.330923 0.0886706i
\(502\) −7.56114 28.2186i −0.337470 1.25946i
\(503\) −18.0905 + 10.4445i −0.806615 + 0.465699i −0.845779 0.533533i \(-0.820864\pi\)
0.0391641 + 0.999233i \(0.487530\pi\)
\(504\) −8.99345 13.7422i −0.400600 0.612125i
\(505\) 9.84038 2.63672i 0.437891 0.117333i
\(506\) −0.0827112 0.0477533i −0.00367696 0.00212289i
\(507\) −7.26421 + 10.7811i −0.322615 + 0.478804i
\(508\) 7.08813 + 12.2770i 0.314485 + 0.544704i
\(509\) −2.99323 + 11.1709i −0.132673 + 0.495142i −0.999997 0.00260275i \(-0.999172\pi\)
0.867324 + 0.497744i \(0.165838\pi\)
\(510\) −37.7468 21.7931i −1.67146 0.965016i
\(511\) 23.4251 + 11.8316i 1.03627 + 0.523401i
\(512\) 35.9022 35.9022i 1.58667 1.58667i
\(513\) 4.24907 4.24907i 0.187601 0.187601i
\(514\) −17.9922 67.1479i −0.793602 2.96176i
\(515\) 5.00729 18.6875i 0.220647 0.823468i
\(516\) 8.78191i 0.386602i
\(517\) 5.04930 8.74564i 0.222068 0.384633i
\(518\) −42.0413 + 47.0246i −1.84719 + 2.06614i
\(519\) 0.223665i 0.00981780i
\(520\) −37.3660 + 34.8616i −1.63861 + 1.52878i
\(521\) 24.8573 14.3514i 1.08902 0.628746i 0.155705 0.987804i \(-0.450235\pi\)
0.933315 + 0.359058i \(0.116902\pi\)
\(522\) −1.55432 + 1.55432i −0.0680306 + 0.0680306i
\(523\) −1.33141 + 0.768693i −0.0582187 + 0.0336126i −0.528827 0.848730i \(-0.677368\pi\)
0.470608 + 0.882342i \(0.344035\pi\)
\(524\) −18.4645 31.9815i −0.806627 1.39712i
\(525\) −0.176402 0.536454i −0.00769882 0.0234128i
\(526\) −49.7102 13.3198i −2.16747 0.580771i
\(527\) 31.9935 + 31.9935i 1.39366 + 1.39366i
\(528\) −11.5153 3.08552i −0.501139 0.134280i
\(529\) −11.4998 + 19.9182i −0.499990 + 0.866008i
\(530\) 39.8327 + 68.9923i 1.73022 + 2.99684i
\(531\) −1.50298 5.60919i −0.0652237 0.243418i
\(532\) −3.94795 70.5606i −0.171165 3.05919i
\(533\) 0.317078 9.14440i 0.0137342 0.396088i
\(534\) 3.07930 5.33351i 0.133254 0.230803i
\(535\) 16.3676 + 16.3676i 0.707631 + 0.707631i
\(536\) −6.97624 −0.301328
\(537\) −10.8654 −0.468875
\(538\) 3.25905 + 3.25905i 0.140508 + 0.140508i
\(539\) −4.43391 11.3112i −0.190982 0.487207i
\(540\) 2.62689 9.80368i 0.113043 0.421883i
\(541\) −38.2161 + 10.2400i −1.64304 + 0.440251i −0.957652 0.287927i \(-0.907034\pi\)
−0.685388 + 0.728178i \(0.740367\pi\)
\(542\) −48.4094 27.9492i −2.07936 1.20052i
\(543\) 0.436016i 0.0187112i
\(544\) −36.4828 9.77555i −1.56419 0.419123i
\(545\) −9.28347 −0.397660
\(546\) −17.4843 16.7572i −0.748260 0.717142i
\(547\) 23.5304 1.00609 0.503043 0.864261i \(-0.332214\pi\)
0.503043 + 0.864261i \(0.332214\pi\)
\(548\) −21.5415 5.77203i −0.920207 0.246569i
\(549\) 3.60438i 0.153831i
\(550\) −0.814467 0.470232i −0.0347290 0.0200508i
\(551\) −5.02564 + 1.34662i −0.214099 + 0.0573678i
\(552\) 0.0348242 0.129966i 0.00148221 0.00553170i
\(553\) 7.64350 8.54952i 0.325035 0.363563i
\(554\) 36.4426 + 36.4426i 1.54830 + 1.54830i
\(555\) −21.4424 −0.910179
\(556\) −12.0825 −0.512414
\(557\) −13.1965 13.1965i −0.559152 0.559152i 0.369914 0.929066i \(-0.379387\pi\)
−0.929066 + 0.369914i \(0.879387\pi\)
\(558\) −7.63818 + 13.2297i −0.323350 + 0.560059i
\(559\) −1.60409 6.94028i −0.0678456 0.293542i
\(560\) −22.7225 34.7204i −0.960202 1.46721i
\(561\) −3.37767 12.6056i −0.142605 0.532210i
\(562\) −25.4739 44.1221i −1.07455 1.86118i
\(563\) 5.01839 8.69210i 0.211500 0.366328i −0.740684 0.671853i \(-0.765499\pi\)
0.952184 + 0.305525i \(0.0988319\pi\)
\(564\) 24.9827 + 6.69409i 1.05196 + 0.281872i
\(565\) 7.44036 + 7.44036i 0.313018 + 0.313018i
\(566\) 16.6802 + 4.46944i 0.701119 + 0.187864i
\(567\) 2.58986 + 0.540936i 0.108764 + 0.0227172i
\(568\) 40.3046 + 69.8097i 1.69114 + 2.92915i
\(569\) 9.90569 5.71905i 0.415268 0.239755i −0.277783 0.960644i \(-0.589599\pi\)
0.693051 + 0.720889i \(0.256266\pi\)
\(570\) 24.6304 24.6304i 1.03165 1.03165i
\(571\) −37.6951 + 21.7633i −1.57749 + 0.910765i −0.582284 + 0.812986i \(0.697841\pi\)
−0.995208 + 0.0977796i \(0.968826\pi\)
\(572\) −27.7999 0.963949i −1.16237 0.0403047i
\(573\) 8.84445i 0.369482i
\(574\) 16.6854 + 3.48502i 0.696435 + 0.145462i
\(575\) 0.00231322 0.00400662i 9.64681e−5 0.000167088i
\(576\) 0.985368i 0.0410570i
\(577\) 0.354101 1.32152i 0.0147414 0.0550158i −0.958163 0.286222i \(-0.907601\pi\)
0.972905 + 0.231206i \(0.0742672\pi\)
\(578\) −25.9795 96.9568i −1.08060 4.03287i
\(579\) −6.37156 + 6.37156i −0.264793 + 0.264793i
\(580\) −6.21398 + 6.21398i −0.258021 + 0.258021i
\(581\) 17.7195 + 27.0758i 0.735129 + 1.12329i
\(582\) −16.9205 9.76905i −0.701377 0.404940i
\(583\) −6.17359 + 23.0401i −0.255684 + 0.954225i
\(584\) 30.7864 + 53.3236i 1.27395 + 2.20655i
\(585\) 0.285288 8.22760i 0.0117952 0.340169i
\(586\) −46.7709 27.0032i −1.93209 1.11549i
\(587\) −20.9489 + 5.61323i −0.864652 + 0.231683i −0.663774 0.747933i \(-0.731046\pi\)
−0.200878 + 0.979616i \(0.564380\pi\)
\(588\) 25.0434 18.4668i 1.03277 0.761560i
\(589\) −31.3144 + 18.0794i −1.29029 + 0.744947i
\(590\) −8.71225 32.5145i −0.358678 1.33860i
\(591\) −12.0766 + 3.23591i −0.496764 + 0.133108i
\(592\) −62.3071 + 16.6951i −2.56081 + 0.686166i
\(593\) −1.09310 4.07949i −0.0448881 0.167525i 0.939843 0.341606i \(-0.110971\pi\)
−0.984731 + 0.174082i \(0.944304\pi\)
\(594\) 3.81588 2.20310i 0.156568 0.0903943i
\(595\) 20.4788 40.5455i 0.839550 1.66220i
\(596\) −96.8352 + 25.9469i −3.96652 + 1.06283i
\(597\) 7.22706 + 4.17254i 0.295784 + 0.170771i
\(598\) 0.00687554 0.198288i 0.000281162 0.00810858i
\(599\) 9.66178 + 16.7347i 0.394770 + 0.683761i 0.993072 0.117510i \(-0.0374911\pi\)
−0.598302 + 0.801271i \(0.704158\pi\)
\(600\) 0.342918 1.27979i 0.0139995 0.0522470i
\(601\) −6.96892 4.02351i −0.284268 0.164122i 0.351086 0.936343i \(-0.385813\pi\)
−0.635354 + 0.772221i \(0.719146\pi\)
\(602\) 13.2493 0.741312i 0.539999 0.0302136i
\(603\) 0.794679 0.794679i 0.0323618 0.0323618i
\(604\) −65.7576 + 65.7576i −2.67564 + 2.67564i
\(605\) 4.72042 + 17.6168i 0.191912 + 0.716226i
\(606\) −2.93169 + 10.9412i −0.119092 + 0.444456i
\(607\) 44.9749i 1.82547i −0.408547 0.912737i \(-0.633964\pi\)
0.408547 0.912737i \(-0.366036\pi\)
\(608\) 15.0922 26.1404i 0.612068 1.06013i
\(609\) −1.70781 1.52682i −0.0692038 0.0618700i
\(610\) 20.8934i 0.845948i
\(611\) 20.9663 + 0.726999i 0.848207 + 0.0294112i
\(612\) 28.9458 16.7119i 1.17006 0.675537i
\(613\) −3.82525 + 3.82525i −0.154500 + 0.154500i −0.780125 0.625624i \(-0.784844\pi\)
0.625624 + 0.780125i \(0.284844\pi\)
\(614\) 54.3697 31.3904i 2.19418 1.26681i
\(615\) 2.89719 + 5.01808i 0.116826 + 0.202348i
\(616\) 5.82787 27.9023i 0.234811 1.12422i
\(617\) 21.1557 + 5.66866i 0.851697 + 0.228212i 0.658157 0.752881i \(-0.271336\pi\)
0.193540 + 0.981092i \(0.438003\pi\)
\(618\) 15.2105 + 15.2105i 0.611858 + 0.611858i
\(619\) −6.45170 1.72873i −0.259316 0.0694834i 0.126819 0.991926i \(-0.459523\pi\)
−0.386135 + 0.922442i \(0.626190\pi\)
\(620\) −30.5365 + 52.8909i −1.22638 + 2.12415i
\(621\) 0.0108378 + 0.0187715i 0.000434904 + 0.000753276i
\(622\) −2.50873 9.36272i −0.100591 0.375411i
\(623\) 5.72895 + 2.89360i 0.229526 + 0.115929i
\(624\) −5.57706 24.1298i −0.223261 0.965965i
\(625\) −13.0108 + 22.5354i −0.520433 + 0.901416i
\(626\) −23.0562 23.0562i −0.921510 0.921510i
\(627\) 10.4294 0.416508
\(628\) 29.2051 1.16541
\(629\) −49.9307 49.9307i −1.99087 1.99087i
\(630\) 15.0125 + 3.13562i 0.598114 + 0.124926i
\(631\) −5.79046 + 21.6103i −0.230515 + 0.860293i 0.749605 + 0.661886i \(0.230244\pi\)
−0.980120 + 0.198407i \(0.936423\pi\)
\(632\) 25.9897 6.96392i 1.03382 0.277010i
\(633\) 0.0895946 + 0.0517275i 0.00356106 + 0.00205598i
\(634\) 24.0063i 0.953411i
\(635\) −7.03371 1.88468i −0.279124 0.0747911i
\(636\) −61.0908 −2.42241
\(637\) 16.4185 19.1686i 0.650523 0.759486i
\(638\) −3.81508 −0.151040
\(639\) −12.5434 3.36098i −0.496207 0.132958i
\(640\) 28.6504i 1.13250i
\(641\) 1.91511 + 1.10569i 0.0756424 + 0.0436722i 0.537344 0.843363i \(-0.319428\pi\)
−0.461702 + 0.887035i \(0.652761\pi\)
\(642\) −24.8597 + 6.66114i −0.981134 + 0.262894i
\(643\) −1.55263 + 5.79449i −0.0612297 + 0.228512i −0.989759 0.142746i \(-0.954407\pi\)
0.928530 + 0.371258i \(0.121074\pi\)
\(644\) 0.249534 + 0.0521193i 0.00983301 + 0.00205379i
\(645\) 3.18972 + 3.18972i 0.125595 + 0.125595i
\(646\) 114.709 4.51315
\(647\) 1.55351 0.0610747 0.0305373 0.999534i \(-0.490278\pi\)
0.0305373 + 0.999534i \(0.490278\pi\)
\(648\) 4.38935 + 4.38935i 0.172430 + 0.172430i
\(649\) 5.03936 8.72842i 0.197812 0.342621i
\(650\) 0.0677042 1.95256i 0.00265558 0.0765857i
\(651\) −14.2106 7.17754i −0.556958 0.281310i
\(652\) 27.9115 + 104.167i 1.09310 + 4.07950i
\(653\) −10.9877 19.0312i −0.429981 0.744749i 0.566890 0.823793i \(-0.308146\pi\)
−0.996871 + 0.0790445i \(0.974813\pi\)
\(654\) 5.16100 8.93911i 0.201811 0.349547i
\(655\) 18.3228 + 4.90957i 0.715930 + 0.191833i
\(656\) 12.3257 + 12.3257i 0.481239 + 0.481239i
\(657\) −9.58115 2.56726i −0.373796 0.100158i
\(658\) −7.99048 + 38.2564i −0.311501 + 1.49139i
\(659\) 13.5876 + 23.5344i 0.529298 + 0.916771i 0.999416 + 0.0341676i \(0.0108780\pi\)
−0.470118 + 0.882604i \(0.655789\pi\)
\(660\) 15.2554 8.80774i 0.593817 0.342841i
\(661\) 7.66117 7.66117i 0.297985 0.297985i −0.542239 0.840224i \(-0.682423\pi\)
0.840224 + 0.542239i \(0.182423\pi\)
\(662\) 34.5488 19.9468i 1.34278 0.775254i
\(663\) 19.8231 18.4944i 0.769865 0.718265i
\(664\) 75.9199i 2.94626i
\(665\) 27.0626 + 24.1947i 1.04944 + 0.938231i
\(666\) 11.9205 20.6470i 0.461912 0.800055i
\(667\) 0.0187676i 0.000726684i
\(668\) −8.82230 + 32.9253i −0.341345 + 1.27392i
\(669\) 6.78211 + 25.3112i 0.262211 + 0.978586i
\(670\) 4.60648 4.60648i 0.177964 0.177964i
\(671\) 4.42349 4.42349i 0.170767 0.170767i
\(672\) 13.2692 0.742426i 0.511869 0.0286397i
\(673\) −33.8958 19.5698i −1.30659 0.754359i −0.325063 0.945692i \(-0.605386\pi\)
−0.981525 + 0.191333i \(0.938719\pi\)
\(674\) 0.928590 3.46555i 0.0357680 0.133488i
\(675\) 0.106721 + 0.184846i 0.00410768 + 0.00711471i
\(676\) −25.3575 51.9257i −0.975288 1.99714i
\(677\) 13.3692 + 7.71873i 0.513822 + 0.296655i 0.734403 0.678714i \(-0.237462\pi\)
−0.220582 + 0.975369i \(0.570796\pi\)
\(678\) −11.3007 + 3.02802i −0.434001 + 0.116290i
\(679\) 9.17990 18.1750i 0.352292 0.697494i
\(680\) 92.2953 53.2867i 3.53936 2.04345i
\(681\) −3.52323 13.1489i −0.135011 0.503866i
\(682\) −25.6102 + 6.86223i −0.980664 + 0.262768i
\(683\) 45.0831 12.0800i 1.72506 0.462227i 0.746021 0.665922i \(-0.231962\pi\)
0.979034 + 0.203695i \(0.0652950\pi\)
\(684\) 6.91334 + 25.8009i 0.264338 + 0.986523i
\(685\) 9.92069 5.72771i 0.379050 0.218845i
\(686\) 29.9749 + 36.2240i 1.14445 + 1.38304i
\(687\) −23.4824 + 6.29210i −0.895911 + 0.240059i
\(688\) 11.7522 + 6.78514i 0.448049 + 0.258681i
\(689\) −48.2796 + 11.1587i −1.83931 + 0.425114i
\(690\) 0.0628227 + 0.108812i 0.00239162 + 0.00414241i
\(691\) −1.25695 + 4.69099i −0.0478165 + 0.178454i −0.985704 0.168486i \(-0.946112\pi\)
0.937888 + 0.346939i \(0.112779\pi\)
\(692\) 0.861017 + 0.497108i 0.0327310 + 0.0188972i
\(693\) 2.51455 + 3.84228i 0.0955199 + 0.145956i
\(694\) −9.87660 + 9.87660i −0.374910 + 0.374910i
\(695\) 4.38857 4.38857i 0.166468 0.166468i
\(696\) −1.39107 5.19156i −0.0527286 0.196786i
\(697\) −4.93870 + 18.4315i −0.187067 + 0.698142i
\(698\) 34.4665i 1.30458i
\(699\) 4.79145 8.29904i 0.181229 0.313899i
\(700\) 2.45719 + 0.513224i 0.0928730 + 0.0193981i
\(701\) 34.8788i 1.31735i 0.752426 + 0.658677i \(0.228884\pi\)
−0.752426 + 0.658677i \(0.771116\pi\)
\(702\) 7.76380 + 4.84871i 0.293026 + 0.183003i
\(703\) 48.8709 28.2156i 1.84320 1.06417i
\(704\) −1.20930 + 1.20930i −0.0455770 + 0.0455770i
\(705\) −11.5055 + 6.64269i −0.433321 + 0.250178i
\(706\) −9.85401 17.0676i −0.370861 0.642349i
\(707\) −11.5553 2.41352i −0.434583 0.0907699i
\(708\) 24.9335 + 6.68091i 0.937058 + 0.251084i
\(709\) −31.3560 31.3560i −1.17760 1.17760i −0.980354 0.197246i \(-0.936800\pi\)
−0.197246 0.980354i \(-0.563200\pi\)
\(710\) −72.7095 19.4825i −2.72874 0.731164i
\(711\) −2.16727 + 3.75382i −0.0812789 + 0.140779i
\(712\) 7.52925 + 13.0410i 0.282171 + 0.488734i
\(713\) −0.0337575 0.125985i −0.00126423 0.00471816i
\(714\) 27.6566 + 42.2598i 1.03502 + 1.58153i
\(715\) 10.4475 9.74722i 0.390713 0.364525i
\(716\) 24.1489 41.8271i 0.902487 1.56315i
\(717\) −5.64222 5.64222i −0.210712 0.210712i
\(718\) 57.8607 2.15934
\(719\) −23.4461 −0.874394 −0.437197 0.899366i \(-0.644029\pi\)
−0.437197 + 0.899366i \(0.644029\pi\)
\(720\) 11.0900 + 11.0900i 0.413299 + 0.413299i
\(721\) −14.9415 + 16.7126i −0.556450 + 0.622409i
\(722\) −11.2419 + 41.9553i −0.418380 + 1.56141i
\(723\) 24.5121 6.56799i 0.911613 0.244266i
\(724\) −1.67848 0.969071i −0.0623802 0.0360152i
\(725\) 0.184807i 0.00686355i
\(726\) −19.5876 5.24848i −0.726964 0.194789i
\(727\) 4.34538 0.161161 0.0805806 0.996748i \(-0.474323\pi\)
0.0805806 + 0.996748i \(0.474323\pi\)
\(728\) 56.8596 16.5370i 2.10736 0.612902i
\(729\) −1.00000 −0.0370370
\(730\) −55.5386 14.8815i −2.05558 0.550790i
\(731\) 14.8552i 0.549438i
\(732\) 13.8754 + 8.01095i 0.512849 + 0.296093i
\(733\) 42.9792 11.5162i 1.58747 0.425362i 0.646245 0.763130i \(-0.276339\pi\)
0.941229 + 0.337768i \(0.109672\pi\)
\(734\) −13.9792 + 52.1713i −0.515984 + 1.92568i
\(735\) −2.38869 + 15.8036i −0.0881083 + 0.582923i
\(736\) 0.0769888 + 0.0769888i 0.00283784 + 0.00283784i
\(737\) 1.95054 0.0718491
\(738\) −6.44258 −0.237155
\(739\) 20.6855 + 20.6855i 0.760929 + 0.760929i 0.976490 0.215561i \(-0.0691581\pi\)
−0.215561 + 0.976490i \(0.569158\pi\)
\(740\) 47.6570 82.5443i 1.75190 3.03439i
\(741\) 10.1763 + 19.1275i 0.373836 + 0.702666i
\(742\) −5.15689 92.1676i −0.189315 3.38358i
\(743\) −2.66460 9.94444i −0.0977548 0.364826i 0.899668 0.436575i \(-0.143809\pi\)
−0.997423 + 0.0717489i \(0.977142\pi\)
\(744\) −18.6762 32.3482i −0.684704 1.18594i
\(745\) 25.7477 44.5963i 0.943323 1.63388i
\(746\) 40.8343 + 10.9415i 1.49505 + 0.400598i
\(747\) −8.64819 8.64819i −0.316421 0.316421i
\(748\) 56.0335 + 15.0141i 2.04879 + 0.548971i
\(749\) −8.37842 25.4795i −0.306141 0.931000i
\(750\) −13.8730 24.0288i −0.506571 0.877407i
\(751\) −18.5810 + 10.7278i −0.678031 + 0.391462i −0.799113 0.601181i \(-0.794697\pi\)
0.121081 + 0.992643i \(0.461364\pi\)
\(752\) −28.2605 + 28.2605i −1.03055 + 1.03055i
\(753\) −9.96567 + 5.75368i −0.363169 + 0.209676i
\(754\) −3.72251 6.99688i −0.135566 0.254811i
\(755\) 47.7683i 1.73847i
\(756\) −7.83850 + 8.76763i −0.285083 + 0.318876i
\(757\) −18.9933 + 32.8973i −0.690322 + 1.19567i 0.281410 + 0.959588i \(0.409198\pi\)
−0.971732 + 0.236085i \(0.924136\pi\)
\(758\) 46.3682i 1.68417i
\(759\) −0.00973676 + 0.0363381i −0.000353422 + 0.00131899i
\(760\) 22.0436 + 82.2677i 0.799604 + 2.98416i
\(761\) 11.9557 11.9557i 0.433393 0.433393i −0.456388 0.889781i \(-0.650857\pi\)
0.889781 + 0.456388i \(0.150857\pi\)
\(762\) 5.72504 5.72504i 0.207396 0.207396i
\(763\) 9.60188 + 4.84975i 0.347611 + 0.175573i
\(764\) −34.0475 19.6573i −1.23179 0.711177i
\(765\) −4.44355 + 16.5836i −0.160657 + 0.599580i
\(766\) 33.8749 + 58.6731i 1.22395 + 2.11995i
\(767\) 20.9251 + 0.725568i 0.755561 + 0.0261987i
\(768\) −25.8809 14.9423i −0.933896 0.539185i
\(769\) −35.8744 + 9.61252i −1.29366 + 0.346636i −0.839051 0.544052i \(-0.816889\pi\)
−0.454614 + 0.890689i \(0.650223\pi\)
\(770\) 14.5760 + 22.2724i 0.525282 + 0.802641i
\(771\) −23.7139 + 13.6912i −0.854036 + 0.493078i
\(772\) −10.3667 38.6890i −0.373106 1.39245i
\(773\) 11.3980 3.05409i 0.409958 0.109848i −0.0479452 0.998850i \(-0.515267\pi\)
0.457903 + 0.889002i \(0.348601\pi\)