Properties

Label 115.2.j.a.4.3
Level $115$
Weight $2$
Character 115.4
Analytic conductor $0.918$
Analytic rank $0$
Dimension $100$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 115.4
Dual form 115.2.j.a.29.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.49755 + 0.683908i) q^{2} +(0.900592 + 3.06714i) q^{3} +(0.465201 - 0.536871i) q^{4} +(2.15615 + 0.592474i) q^{5} +(-3.44632 - 3.97726i) q^{6} +(0.632042 - 0.0908739i) q^{7} +(0.598154 - 2.03713i) q^{8} +(-6.07249 + 3.90255i) q^{9} +O(q^{10})\) \(q+(-1.49755 + 0.683908i) q^{2} +(0.900592 + 3.06714i) q^{3} +(0.465201 - 0.536871i) q^{4} +(2.15615 + 0.592474i) q^{5} +(-3.44632 - 3.97726i) q^{6} +(0.632042 - 0.0908739i) q^{7} +(0.598154 - 2.03713i) q^{8} +(-6.07249 + 3.90255i) q^{9} +(-3.63413 + 0.587347i) q^{10} +(1.69819 - 3.71852i) q^{11} +(2.06561 + 0.943334i) q^{12} +(-3.19357 - 0.459166i) q^{13} +(-0.884364 + 0.568346i) q^{14} +(0.124611 + 7.14678i) q^{15} +(0.699637 + 4.86608i) q^{16} +(0.965240 - 0.836385i) q^{17} +(6.42487 - 9.99729i) q^{18} +(0.307596 - 0.354985i) q^{19} +(1.32113 - 0.881953i) q^{20} +(0.847934 + 1.85672i) q^{21} +6.73007i q^{22} +(3.19949 - 3.57257i) q^{23} +6.78684 q^{24} +(4.29795 + 2.55492i) q^{25} +(5.09656 - 1.49648i) q^{26} +(-10.1910 - 8.83052i) q^{27} +(0.245239 - 0.381599i) q^{28} +(-2.61894 - 3.02242i) q^{29} +(-5.07435 - 10.6174i) q^{30} +(-4.96368 - 1.45747i) q^{31} +(-2.07999 - 3.23653i) q^{32} +(12.9346 + 1.85971i) q^{33} +(-0.873484 + 1.91266i) q^{34} +(1.41662 + 0.178531i) q^{35} +(-0.729764 + 5.07562i) q^{36} +(5.16825 + 8.04195i) q^{37} +(-0.217863 + 0.741974i) q^{38} +(-1.46778 - 10.2086i) q^{39} +(2.49665 - 4.03796i) q^{40} +(7.36949 + 4.73608i) q^{41} +(-2.53965 - 2.20062i) q^{42} +(0.206862 + 0.704508i) q^{43} +(-1.20636 - 2.64157i) q^{44} +(-15.4054 + 4.81669i) q^{45} +(-2.34808 + 7.53826i) q^{46} -0.589562i q^{47} +(-14.2948 + 6.52824i) q^{48} +(-6.32523 + 1.85726i) q^{49} +(-8.18372 - 0.886725i) q^{50} +(3.43459 + 2.20728i) q^{51} +(-1.73217 + 1.50093i) q^{52} +(-6.64695 + 0.955686i) q^{53} +(21.3007 + 6.25446i) q^{54} +(5.86468 - 7.01154i) q^{55} +(0.192937 - 1.34191i) q^{56} +(1.36581 + 0.623742i) q^{57} +(5.98905 + 2.73511i) q^{58} +(-0.734852 + 5.11101i) q^{59} +(3.89487 + 3.25779i) q^{60} +(-2.44333 - 0.717427i) q^{61} +(8.43012 - 1.21207i) q^{62} +(-3.48343 + 3.01841i) q^{63} +(-2.94303 - 1.89137i) q^{64} +(-6.61377 - 2.88214i) q^{65} +(-20.6420 + 6.06105i) q^{66} +(2.18587 - 0.998254i) q^{67} -0.907297i q^{68} +(13.8390 + 6.59584i) q^{69} +(-2.24355 + 0.701475i) q^{70} +(-3.46453 - 7.58626i) q^{71} +(4.31771 + 14.7048i) q^{72} +(0.557471 + 0.483051i) q^{73} +(-13.2397 - 8.50861i) q^{74} +(-3.96560 + 15.4833i) q^{75} +(-0.0474869 - 0.330279i) q^{76} +(0.735411 - 2.50458i) q^{77} +(9.17984 + 14.2841i) q^{78} +(2.33484 - 16.2392i) q^{79} +(-1.37451 + 10.9065i) q^{80} +(8.91062 - 19.5115i) q^{81} +(-14.2752 - 2.05247i) q^{82} +(-5.64215 - 8.77936i) q^{83} +(1.39128 + 0.408516i) q^{84} +(2.57674 - 1.23149i) q^{85} +(-0.791605 - 0.913560i) q^{86} +(6.91157 - 10.7546i) q^{87} +(-6.55931 - 5.68368i) q^{88} +(5.75334 - 1.68933i) q^{89} +(19.7761 - 17.7491i) q^{90} -2.06020 q^{91} +(-0.429603 - 3.37968i) q^{92} -16.5368i q^{93} +(0.403206 + 0.882897i) q^{94} +(0.873542 - 0.583157i) q^{95} +(8.05365 - 9.29441i) q^{96} +(-3.48701 + 5.42589i) q^{97} +(8.20215 - 7.10721i) q^{98} +(4.19947 + 29.2080i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} + O(q^{10}) \) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} - 13q^{10} - 26q^{11} - 26q^{14} - 10q^{15} - 18q^{16} - 14q^{19} + 49q^{20} - 22q^{21} - 68q^{24} + 21q^{25} - 42q^{26} - 24q^{29} + 19q^{30} - 12q^{31} + 8q^{34} - 37q^{35} - 10q^{36} + 14q^{39} - q^{40} + 8q^{41} + 166q^{44} - 42q^{45} - 18q^{46} + 32q^{49} - 23q^{50} - 22q^{51} + 116q^{54} + 27q^{55} - 116q^{56} + 50q^{59} + 123q^{60} - 38q^{61} + 10q^{64} + 76q^{65} - 28q^{66} + 80q^{69} + 102q^{70} - 110q^{71} + 22q^{74} + 6q^{75} + 4q^{76} + 42q^{79} + 18q^{80} + 204q^{81} + 56q^{84} - 121q^{85} + 132q^{86} - 66q^{89} - 198q^{90} + 76q^{91} - 70q^{94} - 74q^{95} + 236q^{96} - 60q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.49755 + 0.683908i −1.05893 + 0.483596i −0.867255 0.497863i \(-0.834118\pi\)
−0.191671 + 0.981459i \(0.561391\pi\)
\(3\) 0.900592 + 3.06714i 0.519957 + 1.77081i 0.629686 + 0.776850i \(0.283184\pi\)
−0.109729 + 0.993962i \(0.534998\pi\)
\(4\) 0.465201 0.536871i 0.232601 0.268436i
\(5\) 2.15615 + 0.592474i 0.964259 + 0.264963i
\(6\) −3.44632 3.97726i −1.40695 1.62371i
\(7\) 0.632042 0.0908739i 0.238889 0.0343471i −0.0218302 0.999762i \(-0.506949\pi\)
0.260719 + 0.965415i \(0.416040\pi\)
\(8\) 0.598154 2.03713i 0.211480 0.720233i
\(9\) −6.07249 + 3.90255i −2.02416 + 1.30085i
\(10\) −3.63413 + 0.587347i −1.14921 + 0.185735i
\(11\) 1.69819 3.71852i 0.512024 1.12118i −0.460348 0.887738i \(-0.652275\pi\)
0.972372 0.233437i \(-0.0749973\pi\)
\(12\) 2.06561 + 0.943334i 0.596291 + 0.272317i
\(13\) −3.19357 0.459166i −0.885738 0.127350i −0.315593 0.948895i \(-0.602204\pi\)
−0.570144 + 0.821545i \(0.693113\pi\)
\(14\) −0.884364 + 0.568346i −0.236356 + 0.151897i
\(15\) 0.124611 + 7.14678i 0.0321744 + 1.84529i
\(16\) 0.699637 + 4.86608i 0.174909 + 1.21652i
\(17\) 0.965240 0.836385i 0.234105 0.202853i −0.529906 0.848056i \(-0.677773\pi\)
0.764011 + 0.645203i \(0.223227\pi\)
\(18\) 6.42487 9.99729i 1.51436 2.35638i
\(19\) 0.307596 0.354985i 0.0705674 0.0814391i −0.719368 0.694629i \(-0.755569\pi\)
0.789935 + 0.613190i \(0.210114\pi\)
\(20\) 1.32113 0.881953i 0.295413 0.197211i
\(21\) 0.847934 + 1.85672i 0.185034 + 0.405169i
\(22\) 6.73007i 1.43486i
\(23\) 3.19949 3.57257i 0.667140 0.744933i
\(24\) 6.78684 1.38536
\(25\) 4.29795 + 2.55492i 0.859590 + 0.510985i
\(26\) 5.09656 1.49648i 0.999517 0.293485i
\(27\) −10.1910 8.83052i −1.96125 1.69943i
\(28\) 0.245239 0.381599i 0.0463458 0.0721155i
\(29\) −2.61894 3.02242i −0.486325 0.561249i 0.458555 0.888666i \(-0.348367\pi\)
−0.944880 + 0.327417i \(0.893822\pi\)
\(30\) −5.07435 10.6174i −0.926444 1.93847i
\(31\) −4.96368 1.45747i −0.891503 0.261769i −0.196267 0.980551i \(-0.562882\pi\)
−0.695236 + 0.718782i \(0.744700\pi\)
\(32\) −2.07999 3.23653i −0.367694 0.572143i
\(33\) 12.9346 + 1.85971i 2.25162 + 0.323734i
\(34\) −0.873484 + 1.91266i −0.149801 + 0.328019i
\(35\) 1.41662 + 0.178531i 0.239452 + 0.0301772i
\(36\) −0.729764 + 5.07562i −0.121627 + 0.845936i
\(37\) 5.16825 + 8.04195i 0.849655 + 1.32209i 0.945143 + 0.326658i \(0.105923\pi\)
−0.0954879 + 0.995431i \(0.530441\pi\)
\(38\) −0.217863 + 0.741974i −0.0353421 + 0.120364i
\(39\) −1.46778 10.2086i −0.235033 1.63469i
\(40\) 2.49665 4.03796i 0.394756 0.638457i
\(41\) 7.36949 + 4.73608i 1.15092 + 0.739652i 0.969822 0.243813i \(-0.0783983\pi\)
0.181099 + 0.983465i \(0.442035\pi\)
\(42\) −2.53965 2.20062i −0.391876 0.339562i
\(43\) 0.206862 + 0.704508i 0.0315462 + 0.107436i 0.973761 0.227572i \(-0.0730789\pi\)
−0.942215 + 0.335009i \(0.891261\pi\)
\(44\) −1.20636 2.64157i −0.181866 0.398232i
\(45\) −15.4054 + 4.81669i −2.29649 + 0.718029i
\(46\) −2.34808 + 7.53826i −0.346206 + 1.11146i
\(47\) 0.589562i 0.0859964i −0.999075 0.0429982i \(-0.986309\pi\)
0.999075 0.0429982i \(-0.0136910\pi\)
\(48\) −14.2948 + 6.52824i −2.06328 + 0.942270i
\(49\) −6.32523 + 1.85726i −0.903605 + 0.265322i
\(50\) −8.18372 0.886725i −1.15735 0.125402i
\(51\) 3.43459 + 2.20728i 0.480939 + 0.309081i
\(52\) −1.73217 + 1.50093i −0.240208 + 0.208142i
\(53\) −6.64695 + 0.955686i −0.913028 + 0.131274i −0.582789 0.812624i \(-0.698039\pi\)
−0.330239 + 0.943897i \(0.607129\pi\)
\(54\) 21.3007 + 6.25446i 2.89866 + 0.851124i
\(55\) 5.86468 7.01154i 0.790793 0.945436i
\(56\) 0.192937 1.34191i 0.0257823 0.179320i
\(57\) 1.36581 + 0.623742i 0.180905 + 0.0826167i
\(58\) 5.98905 + 2.73511i 0.786401 + 0.359137i
\(59\) −0.734852 + 5.11101i −0.0956696 + 0.665396i 0.884398 + 0.466733i \(0.154569\pi\)
−0.980068 + 0.198663i \(0.936340\pi\)
\(60\) 3.89487 + 3.25779i 0.502825 + 0.420579i
\(61\) −2.44333 0.717427i −0.312836 0.0918571i 0.121545 0.992586i \(-0.461215\pi\)
−0.434382 + 0.900729i \(0.643033\pi\)
\(62\) 8.43012 1.21207i 1.07063 0.153933i
\(63\) −3.48343 + 3.01841i −0.438871 + 0.380283i
\(64\) −2.94303 1.89137i −0.367879 0.236422i
\(65\) −6.61377 2.88214i −0.820337 0.357486i
\(66\) −20.6420 + 6.06105i −2.54086 + 0.746063i
\(67\) 2.18587 0.998254i 0.267047 0.121956i −0.277392 0.960757i \(-0.589470\pi\)
0.544439 + 0.838801i \(0.316743\pi\)
\(68\) 0.907297i 0.110026i
\(69\) 13.8390 + 6.59584i 1.66602 + 0.794046i
\(70\) −2.24355 + 0.701475i −0.268155 + 0.0838423i
\(71\) −3.46453 7.58626i −0.411164 0.900323i −0.996015 0.0891826i \(-0.971575\pi\)
0.584852 0.811140i \(-0.301153\pi\)
\(72\) 4.31771 + 14.7048i 0.508847 + 1.73297i
\(73\) 0.557471 + 0.483051i 0.0652470 + 0.0565369i 0.686874 0.726777i \(-0.258982\pi\)
−0.621627 + 0.783314i \(0.713528\pi\)
\(74\) −13.2397 8.50861i −1.53908 0.989106i
\(75\) −3.96560 + 15.4833i −0.457908 + 1.78786i
\(76\) −0.0474869 0.330279i −0.00544712 0.0378856i
\(77\) 0.735411 2.50458i 0.0838078 0.285423i
\(78\) 9.17984 + 14.2841i 1.03941 + 1.61736i
\(79\) 2.33484 16.2392i 0.262691 1.82705i −0.249727 0.968316i \(-0.580341\pi\)
0.512418 0.858736i \(-0.328750\pi\)
\(80\) −1.37451 + 10.9065i −0.153675 + 1.21938i
\(81\) 8.91062 19.5115i 0.990069 2.16795i
\(82\) −14.2752 2.05247i −1.57643 0.226657i
\(83\) −5.64215 8.77936i −0.619307 0.963660i −0.999253 0.0386517i \(-0.987694\pi\)
0.379946 0.925009i \(-0.375943\pi\)
\(84\) 1.39128 + 0.408516i 0.151801 + 0.0445727i
\(85\) 2.57674 1.23149i 0.279486 0.133574i
\(86\) −0.791605 0.913560i −0.0853609 0.0985118i
\(87\) 6.91157 10.7546i 0.740998 1.15302i
\(88\) −6.55931 5.68368i −0.699225 0.605882i
\(89\) 5.75334 1.68933i 0.609853 0.179069i 0.0377997 0.999285i \(-0.487965\pi\)
0.572054 + 0.820216i \(0.306147\pi\)
\(90\) 19.7761 17.7491i 2.08458 1.87092i
\(91\) −2.06020 −0.215967
\(92\) −0.429603 3.37968i −0.0447892 0.352356i
\(93\) 16.5368i 1.71479i
\(94\) 0.403206 + 0.882897i 0.0415875 + 0.0910639i
\(95\) 0.873542 0.583157i 0.0896235 0.0598306i
\(96\) 8.05365 9.29441i 0.821972 0.948607i
\(97\) −3.48701 + 5.42589i −0.354052 + 0.550916i −0.971904 0.235379i \(-0.924367\pi\)
0.617852 + 0.786295i \(0.288003\pi\)
\(98\) 8.20215 7.10721i 0.828543 0.717936i
\(99\) 4.19947 + 29.2080i 0.422063 + 2.93551i
\(100\) 3.37108 1.11889i 0.337108 0.111889i
\(101\) 10.7453 6.90556i 1.06919 0.687129i 0.117157 0.993113i \(-0.462622\pi\)
0.952036 + 0.305985i \(0.0989857\pi\)
\(102\) −6.65305 0.956564i −0.658750 0.0947139i
\(103\) 2.33053 + 1.06432i 0.229634 + 0.104870i 0.526909 0.849921i \(-0.323351\pi\)
−0.297276 + 0.954792i \(0.596078\pi\)
\(104\) −2.84563 + 6.23106i −0.279037 + 0.611006i
\(105\) 0.728214 + 4.50574i 0.0710664 + 0.439715i
\(106\) 9.30052 5.97708i 0.903347 0.580546i
\(107\) −0.764393 + 2.60328i −0.0738967 + 0.251669i −0.988154 0.153465i \(-0.950957\pi\)
0.914257 + 0.405134i \(0.132775\pi\)
\(108\) −9.48170 + 1.36326i −0.912377 + 0.131180i
\(109\) −4.87104 5.62148i −0.466561 0.538440i 0.472891 0.881121i \(-0.343210\pi\)
−0.939452 + 0.342681i \(0.888665\pi\)
\(110\) −3.98739 + 14.5110i −0.380183 + 1.38357i
\(111\) −20.0113 + 23.0942i −1.89939 + 2.19201i
\(112\) 0.884399 + 3.01199i 0.0835679 + 0.284606i
\(113\) −13.6649 + 6.24056i −1.28549 + 0.587063i −0.936698 0.350138i \(-0.886135\pi\)
−0.348790 + 0.937201i \(0.613407\pi\)
\(114\) −2.47194 −0.231519
\(115\) 9.01523 5.80738i 0.840675 0.541541i
\(116\) −2.84098 −0.263779
\(117\) 21.1849 9.67480i 1.95854 0.894436i
\(118\) −2.39498 8.15655i −0.220476 0.750872i
\(119\) 0.534066 0.616345i 0.0489578 0.0565003i
\(120\) 14.6334 + 4.02103i 1.33584 + 0.367068i
\(121\) −3.74006 4.31626i −0.340006 0.392387i
\(122\) 4.14966 0.596631i 0.375693 0.0540164i
\(123\) −7.88930 + 26.8685i −0.711354 + 2.42265i
\(124\) −3.09158 + 1.98684i −0.277632 + 0.178423i
\(125\) 7.75329 + 8.05522i 0.693475 + 0.720481i
\(126\) 3.15229 6.90255i 0.280828 0.614928i
\(127\) −8.30599 3.79322i −0.737038 0.336594i 0.0112781 0.999936i \(-0.496410\pi\)
−0.748316 + 0.663343i \(0.769137\pi\)
\(128\) 13.3171 + 1.91471i 1.17707 + 0.169238i
\(129\) −1.97452 + 1.26895i −0.173847 + 0.111725i
\(130\) 11.8756 0.207062i 1.04156 0.0181605i
\(131\) 1.86945 + 13.0023i 0.163335 + 1.13602i 0.892292 + 0.451458i \(0.149096\pi\)
−0.728958 + 0.684559i \(0.759995\pi\)
\(132\) 7.01561 6.07906i 0.610630 0.529114i
\(133\) 0.162155 0.252318i 0.0140606 0.0218787i
\(134\) −2.59074 + 2.98987i −0.223806 + 0.258285i
\(135\) −16.7414 25.0778i −1.44087 2.15835i
\(136\) −1.12646 2.46660i −0.0965932 0.211510i
\(137\) 14.7844i 1.26311i −0.775329 0.631557i \(-0.782416\pi\)
0.775329 0.631557i \(-0.217584\pi\)
\(138\) −25.2355 0.412999i −2.14819 0.0351568i
\(139\) 4.73976 0.402022 0.201011 0.979589i \(-0.435577\pi\)
0.201011 + 0.979589i \(0.435577\pi\)
\(140\) 0.754860 0.677487i 0.0637973 0.0572581i
\(141\) 1.80826 0.530954i 0.152283 0.0447144i
\(142\) 10.3766 + 8.99137i 0.870785 + 0.754539i
\(143\) −7.13071 + 11.0956i −0.596300 + 0.927861i
\(144\) −23.2387 26.8189i −1.93656 2.23491i
\(145\) −3.85612 8.06844i −0.320233 0.670047i
\(146\) −1.16520 0.342134i −0.0964328 0.0283152i
\(147\) −11.3929 17.7277i −0.939671 1.46216i
\(148\) 6.72177 + 0.966444i 0.552526 + 0.0794412i
\(149\) −6.46275 + 14.1514i −0.529449 + 1.15933i 0.436287 + 0.899807i \(0.356293\pi\)
−0.965737 + 0.259524i \(0.916434\pi\)
\(150\) −4.65049 25.8992i −0.379711 2.11466i
\(151\) −0.120574 + 0.838607i −0.00981214 + 0.0682449i −0.994139 0.108108i \(-0.965521\pi\)
0.984327 + 0.176353i \(0.0564299\pi\)
\(152\) −0.539159 0.838948i −0.0437316 0.0680477i
\(153\) −2.59737 + 8.84584i −0.209985 + 0.715144i
\(154\) 0.611587 + 4.25368i 0.0492831 + 0.342772i
\(155\) −9.83891 6.08336i −0.790280 0.488628i
\(156\) −6.16354 3.96106i −0.493478 0.317139i
\(157\) 6.34230 + 5.49563i 0.506171 + 0.438599i 0.870135 0.492814i \(-0.164032\pi\)
−0.363964 + 0.931413i \(0.618577\pi\)
\(158\) 7.60957 + 25.9158i 0.605385 + 2.06175i
\(159\) −8.91741 19.5264i −0.707196 1.54854i
\(160\) −2.56721 8.21078i −0.202956 0.649119i
\(161\) 1.69756 2.54876i 0.133786 0.200871i
\(162\) 35.3135i 2.77449i
\(163\) 6.16937 2.81746i 0.483222 0.220680i −0.158882 0.987298i \(-0.550789\pi\)
0.642104 + 0.766617i \(0.278062\pi\)
\(164\) 5.97096 1.75323i 0.466254 0.136904i
\(165\) 26.7870 + 11.6732i 2.08537 + 0.908759i
\(166\) 14.4537 + 9.28881i 1.12182 + 0.720952i
\(167\) 0.990001 0.857841i 0.0766086 0.0663817i −0.615715 0.787969i \(-0.711133\pi\)
0.692323 + 0.721587i \(0.256587\pi\)
\(168\) 4.28956 0.616746i 0.330947 0.0475830i
\(169\) −2.48534 0.729761i −0.191180 0.0561355i
\(170\) −3.01656 + 3.60647i −0.231360 + 0.276603i
\(171\) −0.482528 + 3.35605i −0.0368998 + 0.256644i
\(172\) 0.474462 + 0.216680i 0.0361774 + 0.0165217i
\(173\) −0.499912 0.228302i −0.0380076 0.0173575i 0.396321 0.918112i \(-0.370287\pi\)
−0.434328 + 0.900755i \(0.643014\pi\)
\(174\) −2.99525 + 20.8324i −0.227069 + 1.57930i
\(175\) 2.94866 + 1.22425i 0.222898 + 0.0925444i
\(176\) 19.2827 + 5.66192i 1.45349 + 0.426783i
\(177\) −16.3380 + 2.34904i −1.22804 + 0.176565i
\(178\) −7.46056 + 6.46462i −0.559193 + 0.484543i
\(179\) 5.33217 + 3.42678i 0.398545 + 0.256129i 0.724527 0.689247i \(-0.242058\pi\)
−0.325982 + 0.945376i \(0.605695\pi\)
\(180\) −4.58065 + 10.5114i −0.341422 + 0.783475i
\(181\) 2.45963 0.722214i 0.182823 0.0536817i −0.189039 0.981969i \(-0.560537\pi\)
0.371863 + 0.928288i \(0.378719\pi\)
\(182\) 3.08525 1.40898i 0.228694 0.104441i
\(183\) 8.14013i 0.601736i
\(184\) −5.36399 8.65472i −0.395439 0.638034i
\(185\) 6.37886 + 20.4017i 0.468983 + 1.49996i
\(186\) 11.3097 + 24.7647i 0.829266 + 1.81584i
\(187\) −1.47095 5.00960i −0.107567 0.366338i
\(188\) −0.316518 0.274265i −0.0230845 0.0200028i
\(189\) −7.24358 4.65516i −0.526893 0.338613i
\(190\) −0.909346 + 1.47073i −0.0659709 + 0.106698i
\(191\) −2.77272 19.2847i −0.200627 1.39539i −0.802430 0.596747i \(-0.796460\pi\)
0.601803 0.798645i \(-0.294449\pi\)
\(192\) 3.15062 10.7300i 0.227377 0.774373i
\(193\) 6.39108 + 9.94471i 0.460040 + 0.715836i 0.991336 0.131350i \(-0.0419313\pi\)
−0.531296 + 0.847186i \(0.678295\pi\)
\(194\) 1.51116 10.5103i 0.108495 0.754598i
\(195\) 2.88360 22.8810i 0.206499 1.63854i
\(196\) −1.94540 + 4.25983i −0.138957 + 0.304274i
\(197\) −12.5674 1.80693i −0.895393 0.128738i −0.320771 0.947157i \(-0.603942\pi\)
−0.574622 + 0.818419i \(0.694851\pi\)
\(198\) −26.2645 40.8683i −1.86653 2.90438i
\(199\) 15.5381 + 4.56239i 1.10147 + 0.323419i 0.781434 0.623988i \(-0.214488\pi\)
0.320031 + 0.947407i \(0.396307\pi\)
\(200\) 7.77554 7.22723i 0.549814 0.511042i
\(201\) 5.03036 + 5.80534i 0.354814 + 0.409477i
\(202\) −11.3688 + 17.6902i −0.799905 + 1.24468i
\(203\) −1.92994 1.67230i −0.135455 0.117373i
\(204\) 2.78280 0.817104i 0.194835 0.0572087i
\(205\) 13.0837 + 14.5779i 0.913805 + 1.01817i
\(206\) −4.21798 −0.293880
\(207\) −5.48673 + 34.1806i −0.381354 + 2.37572i
\(208\) 15.8614i 1.09979i
\(209\) −0.797661 1.74663i −0.0551754 0.120817i
\(210\) −4.17204 6.24953i −0.287898 0.431258i
\(211\) −16.9434 + 19.5537i −1.16643 + 1.34613i −0.239499 + 0.970897i \(0.576983\pi\)
−0.926930 + 0.375234i \(0.877562\pi\)
\(212\) −2.57909 + 4.01314i −0.177132 + 0.275624i
\(213\) 20.1479 17.4583i 1.38051 1.19622i
\(214\) −0.635690 4.42132i −0.0434548 0.302235i
\(215\) 0.0286226 + 1.64158i 0.00195205 + 0.111955i
\(216\) −24.0847 + 15.4783i −1.63875 + 1.05316i
\(217\) −3.26970 0.470111i −0.221961 0.0319132i
\(218\) 11.1392 + 5.08710i 0.754441 + 0.344542i
\(219\) −0.979530 + 2.14487i −0.0661905 + 0.144937i
\(220\) −1.03604 6.41035i −0.0698497 0.432186i
\(221\) −3.46660 + 2.22785i −0.233189 + 0.149861i
\(222\) 14.1735 48.2706i 0.951265 3.23971i
\(223\) 2.46883 0.354964i 0.165325 0.0237701i −0.0591553 0.998249i \(-0.518841\pi\)
0.224480 + 0.974479i \(0.427932\pi\)
\(224\) −1.60876 1.85660i −0.107490 0.124050i
\(225\) −36.0700 + 1.25821i −2.40467 + 0.0838809i
\(226\) 16.1959 18.6911i 1.07734 1.24331i
\(227\) 1.51570 + 5.16201i 0.100601 + 0.342615i 0.994377 0.105899i \(-0.0337719\pi\)
−0.893776 + 0.448513i \(0.851954\pi\)
\(228\) 0.970244 0.443095i 0.0642560 0.0293447i
\(229\) 9.00062 0.594778 0.297389 0.954756i \(-0.403884\pi\)
0.297389 + 0.954756i \(0.403884\pi\)
\(230\) −9.52904 + 14.8624i −0.628326 + 0.979999i
\(231\) 8.34419 0.549007
\(232\) −7.72358 + 3.52724i −0.507078 + 0.231575i
\(233\) −1.45343 4.94991i −0.0952171 0.324280i 0.898086 0.439821i \(-0.144958\pi\)
−0.993303 + 0.115541i \(0.963140\pi\)
\(234\) −25.1087 + 28.9770i −1.64141 + 1.89428i
\(235\) 0.349300 1.27118i 0.0227858 0.0829228i
\(236\) 2.40210 + 2.77217i 0.156363 + 0.180453i
\(237\) 51.9106 7.46361i 3.37195 0.484814i
\(238\) −0.378267 + 1.28826i −0.0245194 + 0.0835054i
\(239\) 3.60018 2.31369i 0.232876 0.149660i −0.418999 0.907987i \(-0.637619\pi\)
0.651875 + 0.758326i \(0.273983\pi\)
\(240\) −34.6896 + 5.60652i −2.23921 + 0.361899i
\(241\) −8.85400 + 19.3876i −0.570336 + 1.24886i 0.376282 + 0.926505i \(0.377202\pi\)
−0.946618 + 0.322357i \(0.895525\pi\)
\(242\) 8.55285 + 3.90595i 0.549798 + 0.251084i
\(243\) 27.8274 + 4.00097i 1.78513 + 0.256663i
\(244\) −1.52181 + 0.978006i −0.0974237 + 0.0626104i
\(245\) −14.7385 + 0.256980i −0.941609 + 0.0164179i
\(246\) −6.56095 45.6324i −0.418311 2.90942i
\(247\) −1.14533 + 0.992432i −0.0728754 + 0.0631469i
\(248\) −5.93809 + 9.23985i −0.377069 + 0.586731i
\(249\) 21.8462 25.2119i 1.38445 1.59774i
\(250\) −17.1199 6.76055i −1.08276 0.427575i
\(251\) −6.68285 14.6334i −0.421818 0.923653i −0.994584 0.103934i \(-0.966857\pi\)
0.572766 0.819719i \(-0.305870\pi\)
\(252\) 3.27432i 0.206263i
\(253\) −7.85133 17.9643i −0.493609 1.12940i
\(254\) 15.0328 0.943245
\(255\) 6.09774 + 6.79413i 0.381855 + 0.425465i
\(256\) −14.5391 + 4.26907i −0.908694 + 0.266817i
\(257\) −15.5654 13.4875i −0.970944 0.841328i 0.0164089 0.999865i \(-0.494777\pi\)
−0.987353 + 0.158538i \(0.949322\pi\)
\(258\) 2.08910 3.25070i 0.130062 0.202380i
\(259\) 3.99735 + 4.61319i 0.248383 + 0.286650i
\(260\) −4.62407 + 2.20997i −0.286773 + 0.137056i
\(261\) 27.6987 + 8.13306i 1.71450 + 0.503424i
\(262\) −11.6920 18.1931i −0.722332 1.12397i
\(263\) 12.8132 + 1.84226i 0.790094 + 0.113598i 0.525536 0.850771i \(-0.323865\pi\)
0.264558 + 0.964370i \(0.414774\pi\)
\(264\) 11.5253 25.2370i 0.709336 1.55323i
\(265\) −14.8980 1.87754i −0.915178 0.115337i
\(266\) −0.0702726 + 0.488757i −0.00430869 + 0.0299676i
\(267\) 10.3628 + 16.1249i 0.634195 + 0.986827i
\(268\) 0.480937 1.63792i 0.0293779 0.100052i
\(269\) 1.02480 + 7.12761i 0.0624829 + 0.434578i 0.996918 + 0.0784455i \(0.0249957\pi\)
−0.934436 + 0.356132i \(0.884095\pi\)
\(270\) 42.2219 + 26.1057i 2.56954 + 1.58874i
\(271\) −9.71000 6.24024i −0.589840 0.379067i 0.211409 0.977398i \(-0.432195\pi\)
−0.801250 + 0.598330i \(0.795831\pi\)
\(272\) 4.74524 + 4.11177i 0.287722 + 0.249313i
\(273\) −1.85540 6.31890i −0.112294 0.382437i
\(274\) 10.1111 + 22.1403i 0.610837 + 1.33755i
\(275\) 16.7993 11.6433i 1.01303 0.702114i
\(276\) 9.97903 4.36136i 0.600667 0.262523i
\(277\) 22.2304i 1.33570i −0.744298 0.667848i \(-0.767216\pi\)
0.744298 0.667848i \(-0.232784\pi\)
\(278\) −7.09803 + 3.24156i −0.425711 + 0.194416i
\(279\) 35.8297 10.5206i 2.14507 0.629849i
\(280\) 1.21105 2.77904i 0.0723738 0.166079i
\(281\) −20.7548 13.3383i −1.23813 0.795697i −0.252991 0.967469i \(-0.581414\pi\)
−0.985137 + 0.171772i \(0.945051\pi\)
\(282\) −2.34484 + 2.03182i −0.139633 + 0.120993i
\(283\) 0.360630 0.0518507i 0.0214372 0.00308220i −0.131588 0.991305i \(-0.542008\pi\)
0.153025 + 0.988222i \(0.451098\pi\)
\(284\) −5.68454 1.66913i −0.337316 0.0990448i
\(285\) 2.57533 + 2.15409i 0.152549 + 0.127597i
\(286\) 3.09022 21.4930i 0.182729 1.27091i
\(287\) 5.08821 + 2.32371i 0.300347 + 0.137164i
\(288\) 25.2615 + 11.5365i 1.48855 + 0.679796i
\(289\) −2.18720 + 15.2123i −0.128659 + 0.894844i
\(290\) 11.2928 + 9.44565i 0.663136 + 0.554668i
\(291\) −19.7823 5.80861i −1.15966 0.340507i
\(292\) 0.518673 0.0745739i 0.0303530 0.00436410i
\(293\) −16.3635 + 14.1791i −0.955967 + 0.828350i −0.985233 0.171221i \(-0.945229\pi\)
0.0292653 + 0.999572i \(0.490683\pi\)
\(294\) 29.1856 + 18.7564i 1.70214 + 1.09390i
\(295\) −4.61259 + 10.5847i −0.268555 + 0.616266i
\(296\) 19.4739 5.71805i 1.13190 0.332355i
\(297\) −50.1426 + 22.8994i −2.90957 + 1.32876i
\(298\) 25.6124i 1.48369i
\(299\) −11.8582 + 9.94016i −0.685778 + 0.574855i
\(300\) 6.46775 + 9.33188i 0.373416 + 0.538777i
\(301\) 0.194767 + 0.426480i 0.0112262 + 0.0245819i
\(302\) −0.392965 1.33832i −0.0226126 0.0770115i
\(303\) 30.8574 + 26.7381i 1.77271 + 1.53606i
\(304\) 1.94259 + 1.24843i 0.111415 + 0.0716022i
\(305\) −4.84313 2.99449i −0.277317 0.171464i
\(306\) −2.16004 15.0234i −0.123482 0.858833i
\(307\) −4.30546 + 14.6631i −0.245726 + 0.836865i 0.740584 + 0.671964i \(0.234549\pi\)
−0.986310 + 0.164902i \(0.947269\pi\)
\(308\) −1.00252 1.55995i −0.0571240 0.0888867i
\(309\) −1.16555 + 8.10656i −0.0663057 + 0.461166i
\(310\) 18.8947 + 2.38123i 1.07315 + 0.135245i
\(311\) −1.44379 + 3.16146i −0.0818697 + 0.179270i −0.946140 0.323758i \(-0.895054\pi\)
0.864270 + 0.503028i \(0.167781\pi\)
\(312\) −21.6743 3.11629i −1.22706 0.176425i
\(313\) 10.0505 + 15.6389i 0.568090 + 0.883965i 0.999837 0.0180296i \(-0.00573930\pi\)
−0.431748 + 0.901994i \(0.642103\pi\)
\(314\) −13.2564 3.89243i −0.748102 0.219663i
\(315\) −9.29911 + 4.44429i −0.523946 + 0.250407i
\(316\) −7.63218 8.80801i −0.429344 0.495489i
\(317\) −9.89235 + 15.3928i −0.555610 + 0.864545i −0.999503 0.0315344i \(-0.989961\pi\)
0.443893 + 0.896080i \(0.353597\pi\)
\(318\) 26.7085 + 23.1430i 1.49774 + 1.29780i
\(319\) −15.6864 + 4.60594i −0.878269 + 0.257883i
\(320\) −5.22502 5.82175i −0.292088 0.325446i
\(321\) −8.67303 −0.484081
\(322\) −0.799057 + 4.97787i −0.0445297 + 0.277406i
\(323\) 0.599914i 0.0333801i
\(324\) −6.32995 13.8606i −0.351664 0.770036i
\(325\) −12.5527 10.1328i −0.696297 0.562067i
\(326\) −7.31205 + 8.43856i −0.404977 + 0.467368i
\(327\) 12.8550 20.0028i 0.710884 1.10616i
\(328\) 14.0561 12.1797i 0.776118 0.672510i
\(329\) −0.0535757 0.372627i −0.00295373 0.0205436i
\(330\) −48.0983 + 0.838641i −2.64772 + 0.0461657i
\(331\) 6.26264 4.02475i 0.344226 0.221220i −0.357092 0.934069i \(-0.616232\pi\)
0.701318 + 0.712849i \(0.252595\pi\)
\(332\) −7.33812 1.05506i −0.402732 0.0579041i
\(333\) −62.7683 28.6653i −3.43968 1.57085i
\(334\) −0.895891 + 1.96173i −0.0490210 + 0.107341i
\(335\) 5.30450 0.857311i 0.289816 0.0468399i
\(336\) −8.44169 + 5.42514i −0.460532 + 0.295966i
\(337\) −4.42873 + 15.0829i −0.241248 + 0.821616i 0.746476 + 0.665412i \(0.231744\pi\)
−0.987725 + 0.156204i \(0.950074\pi\)
\(338\) 4.22101 0.606889i 0.229592 0.0330104i
\(339\) −31.4472 36.2920i −1.70798 1.97111i
\(340\) 0.537550 1.95627i 0.0291527 0.106093i
\(341\) −13.8489 + 15.9825i −0.749959 + 0.865499i
\(342\) −1.57262 5.35586i −0.0850376 0.289612i
\(343\) −7.89489 + 3.60548i −0.426284 + 0.194677i
\(344\) 1.55891 0.0840507
\(345\) 25.9311 + 22.4209i 1.39608 + 1.20710i
\(346\) 0.904780 0.0486413
\(347\) 31.0955 14.2008i 1.66929 0.762341i 0.669485 0.742825i \(-0.266515\pi\)
0.999810 0.0195162i \(-0.00621258\pi\)
\(348\) −2.55857 8.71368i −0.137154 0.467102i
\(349\) 10.5863 12.2173i 0.566673 0.653976i −0.398012 0.917380i \(-0.630300\pi\)
0.964686 + 0.263404i \(0.0848453\pi\)
\(350\) −5.25303 + 0.183239i −0.280786 + 0.00979455i
\(351\) 28.4909 + 32.8802i 1.52073 + 1.75502i
\(352\) −15.5673 + 2.23824i −0.829741 + 0.119299i
\(353\) 9.41658 32.0699i 0.501194 1.70691i −0.187856 0.982197i \(-0.560154\pi\)
0.689050 0.724714i \(-0.258028\pi\)
\(354\) 22.8604 14.6915i 1.21501 0.780842i
\(355\) −2.97537 18.4097i −0.157916 0.977087i
\(356\) 1.76951 3.87468i 0.0937838 0.205358i
\(357\) 2.37139 + 1.08298i 0.125507 + 0.0573172i
\(358\) −10.3288 1.48505i −0.545893 0.0784876i
\(359\) −8.75079 + 5.62379i −0.461849 + 0.296812i −0.750798 0.660532i \(-0.770331\pi\)
0.288949 + 0.957345i \(0.406694\pi\)
\(360\) 0.597423 + 34.2638i 0.0314869 + 1.80586i
\(361\) 2.67258 + 18.5882i 0.140662 + 0.978328i
\(362\) −3.18949 + 2.76371i −0.167636 + 0.145258i
\(363\) 9.87029 15.3585i 0.518056 0.806110i
\(364\) −0.958406 + 1.10606i −0.0502341 + 0.0579733i
\(365\) 0.915794 + 1.37182i 0.0479349 + 0.0718042i
\(366\) 5.56710 + 12.1902i 0.290997 + 0.637195i
\(367\) 22.9608i 1.19854i 0.800546 + 0.599271i \(0.204543\pi\)
−0.800546 + 0.599271i \(0.795457\pi\)
\(368\) 19.6229 + 13.0695i 1.02291 + 0.681294i
\(369\) −63.2340 −3.29183
\(370\) −23.5055 26.1900i −1.22199 1.36155i
\(371\) −4.11430 + 1.20807i −0.213604 + 0.0627197i
\(372\) −8.87816 7.69297i −0.460311 0.398862i
\(373\) 6.33121 9.85156i 0.327818 0.510094i −0.637751 0.770243i \(-0.720135\pi\)
0.965569 + 0.260148i \(0.0837714\pi\)
\(374\) 5.62893 + 6.49613i 0.291065 + 0.335907i
\(375\) −17.7239 + 31.0348i −0.915258 + 1.60263i
\(376\) −1.20101 0.352649i −0.0619374 0.0181865i
\(377\) 6.97598 + 10.8548i 0.359281 + 0.559053i
\(378\) 14.0313 + 2.01740i 0.721693 + 0.103764i
\(379\) −6.40153 + 14.0174i −0.328825 + 0.720026i −0.999769 0.0214819i \(-0.993162\pi\)
0.670945 + 0.741508i \(0.265889\pi\)
\(380\) 0.0932929 0.740265i 0.00478582 0.0379748i
\(381\) 4.15401 28.8918i 0.212816 1.48017i
\(382\) 17.3412 + 26.9835i 0.887255 + 1.38060i
\(383\) 6.55633 22.3288i 0.335013 1.14095i −0.603976 0.797003i \(-0.706418\pi\)
0.938989 0.343947i \(-0.111764\pi\)
\(384\) 6.12059 + 42.5697i 0.312340 + 2.17237i
\(385\) 3.06955 4.96453i 0.156439 0.253016i
\(386\) −16.3722 10.5218i −0.833324 0.535545i
\(387\) −4.00555 3.47083i −0.203613 0.176432i
\(388\) 1.29084 + 4.39621i 0.0655326 + 0.223184i
\(389\) 3.51058 + 7.68709i 0.177993 + 0.389751i 0.977509 0.210894i \(-0.0676376\pi\)
−0.799516 + 0.600645i \(0.794910\pi\)
\(390\) 11.3301 + 36.2375i 0.573723 + 1.83496i
\(391\) 0.100230 6.12439i 0.00506887 0.309724i
\(392\) 13.9962i 0.706916i
\(393\) −38.1962 + 17.4436i −1.92675 + 0.879915i
\(394\) 20.0561 5.88901i 1.01041 0.296684i
\(395\) 14.6556 33.6308i 0.737402 1.69215i
\(396\) 17.6345 + 11.3330i 0.886167 + 0.569505i
\(397\) 1.67657 1.45276i 0.0841449 0.0729120i −0.611773 0.791034i \(-0.709543\pi\)
0.695918 + 0.718122i \(0.254998\pi\)
\(398\) −26.3893 + 3.79421i −1.32278 + 0.190186i
\(399\) 0.919927 + 0.270115i 0.0460540 + 0.0135227i
\(400\) −9.42547 + 22.7017i −0.471274 + 1.13508i
\(401\) −3.19654 + 22.2324i −0.159628 + 1.11023i 0.739693 + 0.672944i \(0.234971\pi\)
−0.899321 + 0.437290i \(0.855938\pi\)
\(402\) −11.5035 5.25349i −0.573744 0.262020i
\(403\) 15.1826 + 6.93368i 0.756301 + 0.345391i
\(404\) 1.29131 8.98129i 0.0642453 0.446836i
\(405\) 30.7727 36.7904i 1.52911 1.82813i
\(406\) 4.03388 + 1.18445i 0.200198 + 0.0587834i
\(407\) 38.6808 5.56146i 1.91734 0.275671i
\(408\) 6.55093 5.67641i 0.324319 0.281024i
\(409\) 8.68745 + 5.58309i 0.429567 + 0.276066i 0.737506 0.675340i \(-0.236003\pi\)
−0.307940 + 0.951406i \(0.599639\pi\)
\(410\) −29.5634 12.8831i −1.46003 0.636252i
\(411\) 45.3457 13.3147i 2.23674 0.656765i
\(412\) 1.65557 0.756072i 0.0815639 0.0372490i
\(413\) 3.29715i 0.162242i
\(414\) −15.1597 54.9395i −0.745060 2.70013i
\(415\) −6.96377 22.2724i −0.341838 1.09331i
\(416\) 5.15650 + 11.2912i 0.252818 + 0.553594i
\(417\) 4.26859 + 14.5375i 0.209034 + 0.711904i
\(418\) 2.38907 + 2.07014i 0.116853 + 0.101254i
\(419\) 22.7196 + 14.6010i 1.10993 + 0.713306i 0.961277 0.275584i \(-0.0888711\pi\)
0.148649 + 0.988890i \(0.452507\pi\)
\(420\) 2.75776 + 1.70512i 0.134565 + 0.0832012i
\(421\) 2.92388 + 20.3360i 0.142501 + 0.991116i 0.928087 + 0.372364i \(0.121453\pi\)
−0.785586 + 0.618753i \(0.787638\pi\)
\(422\) 12.0006 40.8703i 0.584180 1.98953i
\(423\) 2.30080 + 3.58011i 0.111868 + 0.174071i
\(424\) −2.02905 + 14.1123i −0.0985391 + 0.685355i
\(425\) 6.28545 1.12862i 0.304889 0.0547463i
\(426\) −18.2327 + 39.9240i −0.883376 + 1.93432i
\(427\) −1.60948 0.231409i −0.0778883 0.0111986i
\(428\) 1.04203 + 1.62143i 0.0503685 + 0.0783749i
\(429\) −40.4536 11.8782i −1.95312 0.573487i
\(430\) −1.16556 2.43878i −0.0562081 0.117608i
\(431\) 14.4502 + 16.6765i 0.696044 + 0.803277i 0.988212 0.153090i \(-0.0489223\pi\)
−0.292169 + 0.956367i \(0.594377\pi\)
\(432\) 35.8401 55.7682i 1.72436 2.68315i
\(433\) −1.98896 1.72344i −0.0955833 0.0828234i 0.605758 0.795649i \(-0.292870\pi\)
−0.701342 + 0.712825i \(0.747415\pi\)
\(434\) 5.21804 1.53216i 0.250474 0.0735458i
\(435\) 21.2742 19.0936i 1.02002 0.915469i
\(436\) −5.28402 −0.253059
\(437\) −0.284058 2.23468i −0.0135883 0.106899i
\(438\) 3.88196i 0.185487i
\(439\) −11.0401 24.1745i −0.526917 1.15379i −0.966754 0.255710i \(-0.917691\pi\)
0.439837 0.898078i \(-0.355036\pi\)
\(440\) −10.7754 16.1411i −0.513698 0.769496i
\(441\) 31.1619 35.9627i 1.48390 1.71251i
\(442\) 3.66776 5.70715i 0.174458 0.271461i
\(443\) −12.2165 + 10.5857i −0.580424 + 0.502940i −0.894865 0.446337i \(-0.852728\pi\)
0.314441 + 0.949277i \(0.398183\pi\)
\(444\) 3.08936 + 21.4869i 0.146614 + 1.01973i
\(445\) 13.4059 0.233746i 0.635503 0.0110806i
\(446\) −3.45443 + 2.22003i −0.163572 + 0.105121i
\(447\) −49.2247 7.07744i −2.32825 0.334752i
\(448\) −2.03199 0.927981i −0.0960027 0.0438430i
\(449\) 11.5794 25.3553i 0.546465 1.19659i −0.411948 0.911207i \(-0.635151\pi\)
0.958413 0.285384i \(-0.0921212\pi\)
\(450\) 53.1561 26.5528i 2.50580 1.25171i
\(451\) 30.1260 19.3608i 1.41858 0.911665i
\(452\) −3.00657 + 10.2394i −0.141417 + 0.481622i
\(453\) −2.68071 + 0.385428i −0.125951 + 0.0181090i
\(454\) −5.80018 6.69376i −0.272216 0.314154i
\(455\) −4.44209 1.22061i −0.208248 0.0572232i
\(456\) 2.08760 2.40922i 0.0977610 0.112822i
\(457\) 8.91353 + 30.3567i 0.416958 + 1.42003i 0.853853 + 0.520515i \(0.174260\pi\)
−0.436895 + 0.899512i \(0.643922\pi\)
\(458\) −13.4789 + 6.15559i −0.629826 + 0.287632i
\(459\) −17.2224 −0.803875
\(460\) 1.07609 7.54162i 0.0501728 0.351630i
\(461\) −21.3245 −0.993183 −0.496591 0.867984i \(-0.665415\pi\)
−0.496591 + 0.867984i \(0.665415\pi\)
\(462\) −12.4958 + 5.70665i −0.581359 + 0.265498i
\(463\) 6.47788 + 22.0616i 0.301053 + 1.02529i 0.961588 + 0.274496i \(0.0885112\pi\)
−0.660535 + 0.750795i \(0.729671\pi\)
\(464\) 12.8750 14.8586i 0.597708 0.689792i
\(465\) 9.79766 35.6559i 0.454356 1.65350i
\(466\) 5.56186 + 6.41873i 0.257648 + 0.297342i
\(467\) −39.2327 + 5.64081i −1.81547 + 0.261026i −0.964481 0.264153i \(-0.914907\pi\)
−0.850992 + 0.525179i \(0.823998\pi\)
\(468\) 4.66111 15.8743i 0.215460 0.733788i
\(469\) 1.29085 0.829577i 0.0596058 0.0383063i
\(470\) 0.346277 + 2.14255i 0.0159726 + 0.0988283i
\(471\) −11.1440 + 24.4020i −0.513490 + 1.12439i
\(472\) 9.97222 + 4.55416i 0.459008 + 0.209622i
\(473\) 2.97102 + 0.427168i 0.136608 + 0.0196412i
\(474\) −72.6342 + 46.6792i −3.33620 + 2.14404i
\(475\) 2.22899 0.739822i 0.102273 0.0339453i
\(476\) −0.0824496 0.573449i −0.00377907 0.0262840i
\(477\) 36.6339 31.7435i 1.67735 1.45343i
\(478\) −3.80909 + 5.92706i −0.174224 + 0.271097i
\(479\) 3.78663 4.37000i 0.173015 0.199670i −0.662619 0.748957i \(-0.730555\pi\)
0.835634 + 0.549286i \(0.185100\pi\)
\(480\) 22.8716 15.2685i 1.04394 0.696910i
\(481\) −12.8126 28.0556i −0.584203 1.27923i
\(482\) 35.0891i 1.59827i
\(483\) 9.34621 + 2.91124i 0.425267 + 0.132466i
\(484\) −4.05716 −0.184416
\(485\) −10.7332 + 9.63306i −0.487370 + 0.437415i
\(486\) −44.4092 + 13.0397i −2.01444 + 0.591493i
\(487\) −12.2109 10.5808i −0.553327 0.479460i 0.332740 0.943019i \(-0.392027\pi\)
−0.886066 + 0.463558i \(0.846572\pi\)
\(488\) −2.92298 + 4.54824i −0.132317 + 0.205889i
\(489\) 14.1976 + 16.3849i 0.642038 + 0.740951i
\(490\) 21.8959 10.4646i 0.989156 0.472743i
\(491\) −24.1929 7.10367i −1.09181 0.320584i −0.314216 0.949351i \(-0.601742\pi\)
−0.777594 + 0.628767i \(0.783560\pi\)
\(492\) 10.7548 + 16.7348i 0.484864 + 0.754463i
\(493\) −5.05581 0.726916i −0.227702 0.0327387i
\(494\) 1.03645 2.26951i 0.0466322 0.102110i
\(495\) −8.25028 + 65.4647i −0.370823 + 2.94242i
\(496\) 3.61938 25.1734i 0.162515 1.13032i
\(497\) −2.87912 4.47999i −0.129146 0.200955i
\(498\) −15.4732 + 52.6968i −0.693370 + 2.36140i
\(499\) 1.49388 + 10.3902i 0.0668752 + 0.465128i 0.995550 + 0.0942329i \(0.0300398\pi\)
−0.928675 + 0.370895i \(0.879051\pi\)
\(500\) 7.93145 0.415215i 0.354705 0.0185690i
\(501\) 3.52270 + 2.26390i 0.157383 + 0.101144i
\(502\) 20.0158 + 17.3438i 0.893349 + 0.774091i
\(503\) −10.6465 36.2588i −0.474705 1.61670i −0.754265 0.656570i \(-0.772007\pi\)
0.279560 0.960128i \(-0.409811\pi\)
\(504\) 4.06525 + 8.90166i 0.181081 + 0.396511i
\(505\) 27.2597 8.52311i 1.21304 0.379274i
\(506\) 24.0436 + 21.5328i 1.06887 + 0.957249i
\(507\) 8.28009i 0.367732i
\(508\) −5.90043 + 2.69464i −0.261789 + 0.119555i
\(509\) 24.3006 7.13531i 1.07711 0.316267i 0.305386 0.952229i \(-0.401215\pi\)
0.771721 + 0.635962i \(0.219396\pi\)
\(510\) −13.7782 6.00425i −0.610110 0.265873i
\(511\) 0.396242 + 0.254649i 0.0175287 + 0.0112650i
\(512\) −1.48238 + 1.28449i −0.0655124 + 0.0567668i
\(513\) −6.26940 + 0.901404i −0.276801 + 0.0397979i
\(514\) 32.5342 + 9.55290i 1.43502 + 0.421360i
\(515\) 4.39439 + 3.67560i 0.193640 + 0.161966i
\(516\) −0.237289 + 1.65038i −0.0104461 + 0.0726540i
\(517\) −2.19230 1.00119i −0.0964170 0.0440322i
\(518\) −9.14122 4.17466i −0.401642 0.183424i
\(519\) 0.250017 1.73890i 0.0109745 0.0763294i
\(520\) −9.82734 + 11.7491i −0.430957 + 0.515233i
\(521\) 13.3860 + 3.93048i 0.586451 + 0.172198i 0.561480 0.827491i \(-0.310232\pi\)
0.0249715 + 0.999688i \(0.492050\pi\)
\(522\) −47.0423 + 6.76367i −2.05899 + 0.296038i
\(523\) −7.42978 + 6.43794i −0.324881 + 0.281511i −0.801996 0.597330i \(-0.796228\pi\)
0.477114 + 0.878841i \(0.341683\pi\)
\(524\) 7.85023 + 5.04504i 0.342939 + 0.220394i
\(525\) −1.09939 + 10.1465i −0.0479815 + 0.442829i
\(526\) −20.4483 + 6.00416i −0.891587 + 0.261794i
\(527\) −6.01014 + 2.74474i −0.261806 + 0.119563i
\(528\) 64.2418i 2.79577i
\(529\) −2.52653 22.8608i −0.109849 0.993948i
\(530\) 23.5946 7.37716i 1.02488 0.320443i
\(531\) −15.4836 33.9043i −0.671931 1.47132i
\(532\) −0.0600274 0.204435i −0.00260252 0.00886337i
\(533\) −21.3603 18.5088i −0.925219 0.801707i
\(534\) −26.5468 17.0606i −1.14879 0.738283i
\(535\) −3.19052 + 5.16018i −0.137938 + 0.223094i
\(536\) −0.726082 5.05001i −0.0313620 0.218127i
\(537\) −5.70828 + 19.4406i −0.246330 + 0.838924i
\(538\) −6.40931 9.97307i −0.276325 0.429970i
\(539\) −3.83521 + 26.6745i −0.165194 + 1.14895i
\(540\) −21.2516 2.67827i −0.914525 0.115254i
\(541\) 1.53156 3.35365i 0.0658468 0.144184i −0.873847 0.486201i \(-0.838382\pi\)
0.939694 + 0.342016i \(0.111110\pi\)
\(542\) 18.8089 + 2.70432i 0.807913 + 0.116160i
\(543\) 4.43025 + 6.89361i 0.190120 + 0.295833i
\(544\) −4.71468 1.38435i −0.202140 0.0593537i
\(545\) −7.17210 15.0067i −0.307219 0.642816i
\(546\) 7.10009 + 8.19394i 0.303856 + 0.350668i
\(547\) 8.90580 13.8577i 0.380785 0.592512i −0.596970 0.802263i \(-0.703629\pi\)
0.977755 + 0.209751i \(0.0672654\pi\)
\(548\) −7.93730 6.87771i −0.339065 0.293801i
\(549\) 17.6369 5.17866i 0.752725 0.221020i
\(550\) −17.1948 + 28.9255i −0.733190 + 1.23339i
\(551\) −1.87849 −0.0800263
\(552\) 21.7144 24.2465i 0.924227 1.03200i
\(553\) 10.4760i 0.445486i
\(554\) 15.2035 + 33.2911i 0.645937 + 1.41440i
\(555\) −56.8300 + 37.9384i −2.41230 + 1.61040i
\(556\) 2.20495 2.54464i 0.0935105 0.107917i
\(557\) −17.0009 + 26.4538i −0.720349 + 1.12089i 0.267210 + 0.963638i \(0.413898\pi\)
−0.987559 + 0.157247i \(0.949738\pi\)
\(558\) −46.4617 + 40.2593i −1.96688 + 1.70431i
\(559\) −0.337143 2.34488i −0.0142596 0.0991779i
\(560\) 0.122371 + 7.01828i 0.00517110 + 0.296576i
\(561\) 14.0404 9.02322i 0.592786 0.380961i
\(562\) 40.2035 + 5.78039i 1.69588 + 0.243831i
\(563\) 36.1260 + 16.4982i 1.52253 + 0.695315i 0.988649 0.150246i \(-0.0480066\pi\)
0.533879 + 0.845561i \(0.320734\pi\)
\(564\) 0.556153 1.21781i 0.0234183 0.0512789i
\(565\) −33.1610 + 5.35946i −1.39509 + 0.225474i
\(566\) −0.504599 + 0.324286i −0.0212099 + 0.0136308i
\(567\) 3.85879 13.1418i 0.162054 0.551906i
\(568\) −17.5265 + 2.51993i −0.735395 + 0.105734i
\(569\) 9.99749 + 11.5377i 0.419116 + 0.483686i 0.925568 0.378583i \(-0.123588\pi\)
−0.506451 + 0.862269i \(0.669043\pi\)
\(570\) −5.32987 1.46456i −0.223244 0.0613438i
\(571\) 17.3423 20.0140i 0.725751 0.837561i −0.266235 0.963908i \(-0.585780\pi\)
0.991986 + 0.126347i \(0.0403253\pi\)
\(572\) 2.63969 + 8.98996i 0.110371 + 0.375889i
\(573\) 56.6517 25.8720i 2.36666 1.08082i
\(574\) −9.20904 −0.384378
\(575\) 22.8789 7.18027i 0.954116 0.299438i
\(576\) 25.2527 1.05220
\(577\) −4.78684 + 2.18608i −0.199279 + 0.0910076i −0.512555 0.858655i \(-0.671301\pi\)
0.313276 + 0.949662i \(0.398574\pi\)
\(578\) −7.12839 24.2771i −0.296502 1.00979i
\(579\) −24.7460 + 28.5584i −1.02841 + 1.18685i
\(580\) −6.12558 1.68321i −0.254351 0.0698915i
\(581\) −4.36389 5.03620i −0.181045 0.208937i
\(582\) 33.5975 4.83060i 1.39266 0.200235i
\(583\) −7.73404 + 26.3397i −0.320311 + 1.09088i
\(584\) 1.31749 0.846700i 0.0545182 0.0350367i
\(585\) 51.4098 8.30882i 2.12553 0.343527i
\(586\) 14.8080 32.4250i 0.611713 1.33946i
\(587\) 22.8678 + 10.4434i 0.943856 + 0.431045i 0.827062 0.562111i \(-0.190011\pi\)
0.116795 + 0.993156i \(0.462738\pi\)
\(588\) −14.8175 2.13043i −0.611063 0.0878576i
\(589\) −2.04419 + 1.31372i −0.0842292 + 0.0541308i
\(590\) −0.331383 19.0057i −0.0136428 0.782452i
\(591\) −5.77606 40.1734i −0.237595 1.65251i
\(592\) −35.5169 + 30.7756i −1.45974 + 1.26487i
\(593\) 3.35907 5.22681i 0.137940 0.214640i −0.765410 0.643543i \(-0.777464\pi\)
0.903350 + 0.428904i \(0.141100\pi\)
\(594\) 59.4300 68.5859i 2.43844 2.81411i
\(595\) 1.51669 1.01251i 0.0621784 0.0415089i
\(596\) 4.59102 + 10.0529i 0.188056 + 0.411784i
\(597\) 51.7662i 2.11865i
\(598\) 10.9601 22.9958i 0.448191 0.940368i
\(599\) −21.7863 −0.890164 −0.445082 0.895490i \(-0.646825\pi\)
−0.445082 + 0.895490i \(0.646825\pi\)
\(600\) 29.1695 + 17.3399i 1.19084 + 0.707897i
\(601\) −14.7064 + 4.31819i −0.599886 + 0.176143i −0.567556 0.823335i \(-0.692111\pi\)
−0.0323303 + 0.999477i \(0.510293\pi\)
\(602\) −0.583346 0.505472i −0.0237754 0.0206015i
\(603\) −9.37795 + 14.5924i −0.381900 + 0.594247i
\(604\) 0.394133 + 0.454854i 0.0160370 + 0.0185077i
\(605\) −5.50685 11.5224i −0.223885 0.468452i
\(606\) −64.4968 18.9380i −2.62000 0.769302i
\(607\) −18.2962 28.4695i −0.742621 1.15554i −0.982775 0.184806i \(-0.940834\pi\)
0.240154 0.970735i \(-0.422802\pi\)
\(608\) −1.78872 0.257179i −0.0725420 0.0104300i
\(609\) 3.39109 7.42544i 0.137414 0.300894i
\(610\) 9.30077 + 1.17214i 0.376577 + 0.0474587i
\(611\) −0.270707 + 1.88281i −0.0109516 + 0.0761702i
\(612\) 3.54077 + 5.50955i 0.143127 + 0.222710i
\(613\) −0.962165 + 3.27683i −0.0388615 + 0.132350i −0.976639 0.214887i \(-0.931062\pi\)
0.937778 + 0.347237i \(0.112880\pi\)
\(614\) −3.58054 24.9032i −0.144499 1.00501i
\(615\) −32.9294 + 53.2582i −1.32784 + 2.14758i
\(616\) −4.66226 2.99625i −0.187848 0.120722i
\(617\) −22.5722 19.5589i −0.908721 0.787412i 0.0689350 0.997621i \(-0.478040\pi\)
−0.977656 + 0.210210i \(0.932585\pi\)
\(618\) −3.79868 12.9371i −0.152805 0.520407i
\(619\) 1.80206 + 3.94596i 0.0724310 + 0.158602i 0.942384 0.334533i \(-0.108578\pi\)
−0.869953 + 0.493134i \(0.835851\pi\)
\(620\) −7.84306 + 2.45224i −0.314985 + 0.0984841i
\(621\) −64.1535 + 8.15478i −2.57439 + 0.327240i
\(622\) 5.72185i 0.229425i
\(623\) 3.48284 1.59056i 0.139537 0.0637244i
\(624\) 48.6492 14.2847i 1.94753 0.571845i
\(625\) 11.9447 + 21.9619i 0.477789 + 0.878475i
\(626\) −25.7467 16.5464i −1.02905 0.661328i
\(627\) 4.63879 4.01954i 0.185256 0.160525i
\(628\) 5.90089 0.848420i 0.235471 0.0338557i
\(629\) 11.7148 + 3.43977i 0.467098 + 0.137152i
\(630\) 10.8864 13.0153i 0.433724 0.518541i
\(631\) −0.273871 + 1.90481i −0.0109026 + 0.0758293i −0.994546 0.104296i \(-0.966741\pi\)
0.983644 + 0.180125i \(0.0576502\pi\)
\(632\) −31.6847 14.4699i −1.26035 0.575583i
\(633\) −75.2328 34.3577i −2.99024 1.36560i
\(634\) 4.28702 29.8169i 0.170259 1.18418i
\(635\) −15.6616 13.0998i −0.621510 0.519851i
\(636\) −14.6315 4.29621i −0.580179 0.170356i
\(637\) 21.0529 3.02695i 0.834145 0.119932i
\(638\) 20.3411 17.6257i 0.805311 0.697806i
\(639\) 50.6441 + 32.5470i 2.00345 + 1.28754i
\(640\) 27.5792 + 12.0184i 1.09016 + 0.475070i
\(641\) −24.5825 + 7.21809i −0.970952 + 0.285097i −0.728485 0.685062i \(-0.759775\pi\)
−0.242468 + 0.970159i \(0.577957\pi\)
\(642\) 12.9883 5.93155i 0.512607 0.234100i
\(643\) 18.0240i 0.710797i 0.934715 + 0.355399i \(0.115655\pi\)
−0.934715 + 0.355399i \(0.884345\pi\)
\(644\) −0.578651 2.09706i −0.0228020 0.0826356i
\(645\) −5.00918 + 1.56619i −0.197236 + 0.0616686i
\(646\) 0.410286 + 0.898401i 0.0161425 + 0.0353471i
\(647\) 3.62058 + 12.3305i 0.142340 + 0.484764i 0.999543 0.0302132i \(-0.00961862\pi\)
−0.857204 + 0.514977i \(0.827800\pi\)
\(648\) −34.4175 29.8230i −1.35205 1.17156i
\(649\) 17.7575 + 11.4120i 0.697041 + 0.447961i
\(650\) 25.7281 + 6.58951i 1.00914 + 0.258462i
\(651\) −1.50277 10.4520i −0.0588981 0.409645i
\(652\) 1.35739 4.62284i 0.0531594 0.181044i
\(653\) 15.9779 + 24.8621i 0.625265 + 0.972931i 0.998970 + 0.0453834i \(0.0144509\pi\)
−0.373705 + 0.927548i \(0.621913\pi\)
\(654\) −5.57095 + 38.7468i −0.217841 + 1.51512i
\(655\) −3.67272 + 29.1425i −0.143505 + 1.13869i
\(656\) −17.8902 + 39.1741i −0.698495 + 1.52949i
\(657\) −5.27037 0.757765i −0.205617 0.0295632i
\(658\) 0.335075 + 0.521387i 0.0130626 + 0.0203258i
\(659\) −17.2790 5.07358i −0.673096 0.197639i −0.0727146 0.997353i \(-0.523166\pi\)
−0.600381 + 0.799714i \(0.704984\pi\)
\(660\) 18.7284 8.95078i 0.729001 0.348409i
\(661\) 23.3762 + 26.9776i 0.909230 + 1.04931i 0.998578 + 0.0533064i \(0.0169760\pi\)
−0.0893487 + 0.996000i \(0.528479\pi\)
\(662\) −6.62604 + 10.3103i −0.257529 + 0.400722i
\(663\) −9.95511 8.62616i −0.386625 0.335012i
\(664\) −21.2596 + 6.24237i −0.825031 + 0.242251i
\(665\) 0.499121 0.447962i 0.0193551 0.0173712i
\(666\) 113.603 4.40203
\(667\) −19.1771 0.313848i −0.742540 0.0121522i
\(668\) 0.930571i 0.0360049i
\(669\) 3.31213 + 7.25255i 0.128054 + 0.280400i
\(670\) −7.35743 + 4.91166i −0.284242 + 0.189754i
\(671\) −6.81701 + 7.86724i −0.263168 + 0.303712i
\(672\) 4.24562 6.60632i 0.163778 0.254844i
\(673\) −3.86306 + 3.34736i −0.148910 + 0.129031i −0.726130 0.687557i \(-0.758683\pi\)
0.577220 + 0.816589i \(0.304137\pi\)
\(674\) −3.68305 25.6162i −0.141866 0.986698i
\(675\) −21.2389 63.9903i −0.817486 2.46299i
\(676\) −1.54797 + 0.994820i −0.0595373 + 0.0382623i
\(677\) 12.8777 + 1.85153i 0.494930 + 0.0711601i 0.385260 0.922808i \(-0.374112\pi\)
0.109669 + 0.993968i \(0.465021\pi\)
\(678\) 71.9140 + 32.8420i 2.76184 + 1.26129i
\(679\) −1.71086 + 3.74627i −0.0656569 + 0.143769i
\(680\) −0.967415 5.98576i −0.0370987 0.229543i
\(681\) −14.4676 + 9.29773i −0.554398 + 0.356290i
\(682\) 9.80885 33.4059i 0.375600 1.27918i
\(683\) 50.3472 7.23884i 1.92648 0.276986i 0.930483 0.366335i \(-0.119388\pi\)
0.996000 + 0.0893487i \(0.0284785\pi\)
\(684\) 1.57729 + 1.82030i 0.0603094 + 0.0696007i
\(685\) 8.75936 31.8773i 0.334678 1.21797i
\(686\) 9.35718 10.7988i 0.357259 0.412298i
\(687\) 8.10589 + 27.6061i 0.309259 + 1.05324i
\(688\) −3.28347 + 1.49951i −0.125181 + 0.0571682i
\(689\) 21.6663 0.825421
\(690\) −54.1668 15.8419i −2.06210 0.603090i
\(691\) 34.5692 1.31507 0.657536 0.753423i \(-0.271599\pi\)
0.657536 + 0.753423i \(0.271599\pi\)
\(692\) −0.355128 + 0.162182i −0.0135000 + 0.00616522i
\(693\) 5.30848 + 18.0790i 0.201652 + 0.686765i
\(694\) −36.8550 + 42.5329i −1.39900 + 1.61453i
\(695\) 10.2196 + 2.80819i 0.387653 + 0.106521i
\(696\) −17.7743 20.5127i −0.673734 0.777531i
\(697\) 11.0745 1.59227i 0.419477 0.0603117i
\(698\) −7.49806 + 25.5360i −0.283806 + 0.966553i
\(699\) 13.8731 8.91571i 0.524729 0.337223i
\(700\) 2.02898 1.01353i 0.0766883 0.0383077i
\(701\) 14.0335 30.7290i 0.530037 1.16062i −0.435461 0.900207i \(-0.643415\pi\)
0.965498 0.260411i \(-0.0838580\pi\)
\(702\) −65.1536 29.7546i −2.45906 1.12302i
\(703\) 4.44450 + 0.639023i 0.167628 + 0.0241012i
\(704\) −12.0309 + 7.73181i −0.453433 + 0.291404i
\(705\) 4.21346 0.0734659i 0.158688 0.00276688i
\(706\) 7.83108 + 54.4664i 0.294727 + 2.04987i
\(707\) 6.16391 5.34106i 0.231818 0.200871i
\(708\) −6.33931 + 9.86415i −0.238246 + 0.370718i
\(709\) 22.1310 25.5406i 0.831148 0.959196i −0.168501 0.985702i \(-0.553893\pi\)
0.999649 + 0.0265056i \(0.00843798\pi\)
\(710\) 17.0463 + 25.5346i 0.639737 + 0.958296i
\(711\) 49.1960 + 107.724i 1.84499 + 4.03998i
\(712\) 12.7308i 0.477106i
\(713\) −21.0881 + 13.0699i −0.789757 + 0.489473i
\(714\) −4.29193 −0.160621
\(715\) −21.9487 + 19.6990i −0.820836 + 0.736701i
\(716\) 4.32027 1.26855i 0.161456 0.0474078i
\(717\) 10.3387 + 8.95854i 0.386106 + 0.334563i
\(718\) 9.25859 14.4066i 0.345527 0.537651i
\(719\) −8.64717 9.97936i −0.322485 0.372167i 0.571240 0.820783i \(-0.306463\pi\)
−0.893725 + 0.448616i \(0.851917\pi\)
\(720\) −34.2166 71.5938i −1.27518 2.66814i
\(721\) 1.56971 + 0.460908i 0.0584591 + 0.0171651i
\(722\) −16.7150 26.0090i −0.622066 0.967954i
\(723\) −67.4381 9.69613i −2.50805 0.360603i
\(724\) 0.756490 1.65648i 0.0281147 0.0615626i
\(725\) −3.53402 19.6814i −0.131250 0.730949i
\(726\) −4.27746 + 29.7504i −0.158752 + 1.10414i
\(727\) −24.7010 38.4355i −0.916110 1.42550i −0.904931 0.425558i \(-0.860078\pi\)
−0.0111793 0.999938i \(-0.503559\pi\)
\(728\) −1.23232 + 4.19688i −0.0456727 + 0.155547i
\(729\) 3.63167 + 25.2588i 0.134506 + 0.935512i
\(730\) −2.30964 1.42804i −0.0854837 0.0528543i
\(731\) 0.788912 + 0.507003i 0.0291789 + 0.0187522i
\(732\) −4.37020 3.78680i −0.161527 0.139964i
\(733\) 13.8089 + 47.0288i 0.510043 + 1.73705i 0.662811 + 0.748786i \(0.269363\pi\)
−0.152768 + 0.988262i \(0.548819\pi\)
\(734\) −15.7030 34.3849i −0.579610 1.26917i
\(735\) −14.0616 44.9736i −0.518669 1.65888i
\(736\) −18.2176 2.92433i −0.671511 0.107792i
\(737\) 9.82343i 0.361851i
\(738\) 94.6960 43.2462i 3.48581 1.59191i
\(739\) −47.4263 + 13.9256i −1.74461 + 0.512262i −0.989649 0.143512i \(-0.954160\pi\)
−0.754957 + 0.655774i \(0.772342\pi\)
\(740\) 13.9205 + 6.06627i 0.511729 + 0.223001i
\(741\) −4.07540 2.61910i −0.149713 0.0962150i
\(742\) 5.33516 4.62294i 0.195860 0.169713i
\(743\) −5.02759 + 0.722859i −0.184444 + 0.0265191i −0.233918 0.972256i \(-0.575155\pi\)
0.0494736 + 0.998775i \(0.484246\pi\)
\(744\) −33.6877 9.89159i −1.23505 0.362643i
\(745\) −22.3190 + 26.6836i −0.817705 + 0.977612i
\(746\) −2.74374 + 19.0832i −0.100456 + 0.698684i
\(747\) 68.5239 + 31.2938i 2.50716 + 1.14498i
\(748\) −3.37380 1.54076i −0.123358 0.0563359i
\(749\) −0.246558 + 1.71485i −0.00900902 + 0.0626591i
\(750\) 5.31744 58.5977i 0.194166 2.13969i
\(751\) −16.5964 4.87313i −0.605610 0.177823i −0.0354699 0.999371i \(-0.511293\pi\)
−0.570140 + 0.821548i \(0.693111\pi\)
\(752\) 2.86885 0.412479i 0.104616 0.0150416i
\(753\) 38.8641 33.6760i 1.41629 1.22722i
\(754\) −17.8706 11.4847i −0.650808 0.418249i
\(755\) −0.756828 + 1.73673i −0.0275438 + 0.0632059i
\(756\) −5.86894 + 1.72328i −0.213451 + 0.0626750i
\(757\) 25.8760 11.8172i 0.940481 0.429503i 0.114640 0.993407i \(-0.463428\pi\)
0.825840 + 0.563904i \(0.190701\pi\)
\(758\) 25.3698i 0.921473i
\(759\) 48.0280 40.2596i 1.74331 1.46133i
\(760\) −0.665452 2.12833i −0.0241385 0.0772028i
\(761\) −10.4443 22.8699i −0.378606 0.829032i −0.998999 0.0447407i \(-0.985754\pi\)
0.620392 0.784292i \(-0.286973\pi\)
\(762\) 13.5385 + 46.1078i 0.490447 + 1.67031i
\(763\) −3.58954 3.11036i −0.129950 0.112602i
\(764\) −11.6433 7.48267i −0.421239 0.270714i
\(765\) −10.8413 + 17.5341i −0.391966 + 0.633945i
\(766\) 5.45242 + 37.9224i 0.197004 + 1.37019i
\(767\) 4.69361 15.9850i 0.169476 0.577183i
\(768\) −26.1876 40.7487i −0.944964 1.47039i
\(769\) 1.87415 13.0350i 0.0675835 0.470054i −0.927722 0.373272i \(-0.878236\pi\)
0.995306 0.0967819i \(-0.0308549\pi\)
\(770\) −1.20153 + 9.53392i −0.0433000 + 0.343579i
\(771\) 27.3499 59.8880i 0.984984 2.15681i
\(772\) 8.31216 + 1.19511i 0.299161 + 0.0430129i
\(773\) 7.26298 + 11.3014i 0.261231 + 0.406484i 0.946949