Properties

Label 115.2.j.a.4.8
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 4.8
Character \(\chi\) \(=\) 115.4
Dual form 115.2.j.a.29.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.49755 - 0.683908i) q^{2} +(-0.900592 - 3.06714i) q^{3} +(0.465201 - 0.536871i) q^{4} +(1.43463 + 1.71518i) q^{5} +(-3.44632 - 3.97726i) q^{6} +(-0.632042 + 0.0908739i) q^{7} +(-0.598154 + 2.03713i) q^{8} +(-6.07249 + 3.90255i) q^{9} +O(q^{10})\) \(q+(1.49755 - 0.683908i) q^{2} +(-0.900592 - 3.06714i) q^{3} +(0.465201 - 0.536871i) q^{4} +(1.43463 + 1.71518i) 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} +(3.32145 + 1.58741i) 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} +(3.96867 - 5.94488i) 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} +(1.58822 + 0.0276922i) q^{20} +(0.847934 + 1.85672i) q^{21} -6.73007i q^{22} +(-3.19949 + 3.57257i) q^{23} +6.78684 q^{24} +(-0.883674 + 4.92129i) 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} +(1.87753 - 11.6170i) 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} +(-1.06261 - 0.953694i) 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} +(-4.35217 + 1.89658i) 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} +(2.04236 + 7.97423i) 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} +(8.81420 - 2.42200i) 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} +(-1.34540 - 4.89623i) 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} +(3.79404 + 6.13628i) 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} +(15.8901 - 1.72173i) 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} +(-7.34248 + 8.18103i) 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} +(-2.81931 - 0.455656i) 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} +(-26.3644 + 3.32261i) q^{90} -2.06020 q^{91} +(0.429603 + 3.37968i) q^{92} +16.5368i q^{93} +(0.403206 + 0.882897i) q^{94} +(1.05015 + 0.0183104i) 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 0.191671 0.981459i \(-0.438609\pi\)
0.867255 + 0.497863i \(0.165882\pi\)
\(3\) −0.900592 3.06714i −0.519957 1.77081i −0.629686 0.776850i \(-0.716816\pi\)
0.109729 0.993962i \(-0.465002\pi\)
\(4\) 0.465201 0.536871i 0.232601 0.268436i
\(5\) 1.43463 + 1.71518i 0.641586 + 0.767051i
\(6\) −3.44632 3.97726i −1.40695 1.62371i
\(7\) −0.632042 + 0.0908739i −0.238889 + 0.0343471i −0.260719 0.965415i \(-0.583960\pi\)
0.0218302 + 0.999762i \(0.493051\pi\)
\(8\) −0.598154 + 2.03713i −0.211480 + 0.720233i
\(9\) −6.07249 + 3.90255i −2.02416 + 1.30085i
\(10\) 3.32145 + 1.58741i 1.05034 + 0.501983i
\(11\) 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 0.570144 0.821545i \(-0.306887\pi\)
0.315593 + 0.948895i \(0.397796\pi\)
\(14\) −0.884364 + 0.568346i −0.236356 + 0.151897i
\(15\) 3.96867 5.94488i 1.02471 1.53496i
\(16\) 0.699637 + 4.86608i 0.174909 + 1.21652i
\(17\) −0.965240 + 0.836385i −0.234105 + 0.202853i −0.764011 0.645203i \(-0.776773\pi\)
0.529906 + 0.848056i \(0.322227\pi\)
\(18\) −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 \(0.210114\pi\)
\(20\) 1.58822 + 0.0276922i 0.355137 + 0.00619216i
\(21\) 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
\(25\) −0.883674 + 4.92129i −0.176735 + 0.984258i
\(26\) 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 \(0.893822\pi\)
\(30\) 1.87753 11.6170i 0.342788 2.12096i
\(31\) −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
\(35\) −1.06261 0.953694i −0.179614 0.161204i
\(36\) −0.729764 + 5.07562i −0.121627 + 0.845936i
\(37\) −5.16825 8.04195i −0.849655 1.32209i −0.945143 0.326658i \(-0.894077\pi\)
0.0954879 0.995431i \(-0.469559\pi\)
\(38\) 0.217863 0.741974i 0.0353421 0.120364i
\(39\) −1.46778 10.2086i −0.235033 1.63469i
\(40\) −4.35217 + 1.89658i −0.688138 + 0.299876i
\(41\) 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 0.942215 0.335009i \(-0.108739\pi\)
−0.973761 + 0.227572i \(0.926921\pi\)
\(44\) −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 \(0.0136910\pi\)
−0.999075 + 0.0429982i \(0.986309\pi\)
\(48\) 14.2948 6.52824i 2.06328 0.942270i
\(49\) −6.32523 + 1.85726i −0.903605 + 0.265322i
\(50\) 2.04236 + 7.97423i 0.288834 + 1.12773i
\(51\) 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 0.330239 0.943897i \(-0.392871\pi\)
0.582789 + 0.812624i \(0.301961\pi\)
\(54\) 21.3007 + 6.25446i 2.89866 + 0.851124i
\(55\) 8.81420 2.42200i 1.18851 0.326582i
\(56\) 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 \(0.936340\pi\)
\(60\) −1.34540 4.89623i −0.173691 0.632100i
\(61\) −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
\(65\) 3.79404 + 6.13628i 0.470593 + 0.761112i
\(66\) −20.6420 + 6.06105i −2.54086 + 0.746063i
\(67\) −2.18587 + 0.998254i −0.267047 + 0.121956i −0.544439 0.838801i \(-0.683257\pi\)
0.277392 + 0.960757i \(0.410530\pi\)
\(68\) 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 0.621627 0.783314i \(-0.286472\pi\)
−0.686874 + 0.726777i \(0.741018\pi\)
\(74\) −13.2397 8.50861i −1.53908 0.989106i
\(75\) 15.8901 1.72173i 1.83483 0.198808i
\(76\) −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 \(-0.328750\pi\)
\(80\) −7.34248 + 8.18103i −0.820914 + 0.914667i
\(81\) 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 \(0.0123063\pi\)
−0.379946 + 0.925009i \(0.624057\pi\)
\(84\) 1.39128 + 0.408516i 0.151801 + 0.0445727i
\(85\) −2.81931 0.455656i −0.305797 0.0494228i
\(86\) −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 \(0.306147\pi\)
\(90\) −26.3644 + 3.32261i −2.77906 + 0.350234i
\(91\) −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
\(95\) 1.05015 + 0.0183104i 0.107743 + 0.00187860i
\(96\) 8.05365 9.29441i 0.821972 0.948607i
\(97\) 3.48701 5.42589i 0.354052 0.550916i −0.617852 0.786295i \(-0.711997\pi\)
0.971904 + 0.235379i \(0.0756331\pi\)
\(98\) −8.20215 + 7.10721i −0.828543 + 0.717936i
\(99\) 4.19947 + 29.2080i 0.422063 + 2.93551i
\(100\) 2.23101 + 2.76381i 0.223101 + 0.276381i
\(101\) 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 0.297276 0.954792i \(-0.403922\pi\)
−0.526909 + 0.849921i \(0.676649\pi\)
\(104\) −2.84563 + 6.23106i −0.279037 + 0.611006i
\(105\) −1.96813 + 4.11806i −0.192070 + 0.401881i
\(106\) 9.30052 5.97708i 0.903347 0.580546i
\(107\) 0.764393 2.60328i 0.0738967 0.251669i −0.914257 0.405134i \(-0.867225\pi\)
0.988154 + 0.153465i \(0.0490432\pi\)
\(108\) 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 \(0.888665\pi\)
\(110\) 11.5433 9.65516i 1.10061 0.920583i
\(111\) −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 0.348790 0.937201i \(-0.386593\pi\)
0.936698 + 0.350138i \(0.113865\pi\)
\(114\) −2.47194 −0.231519
\(115\) −10.7177 0.362380i −0.999429 0.0337921i
\(116\) −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
\(120\) 9.73660 + 11.6406i 0.888826 + 1.06264i
\(121\) −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
\(125\) −9.70864 + 5.54457i −0.868367 + 0.495922i
\(126\) 3.15229 6.90255i 0.280828 0.614928i
\(127\) 8.30599 + 3.79322i 0.737038 + 0.336594i 0.748316 0.663343i \(-0.230863\pi\)
−0.0112781 + 0.999936i \(0.503590\pi\)
\(128\) −13.3171 1.91471i −1.17707 0.169238i
\(129\) −1.97452 + 1.26895i −0.173847 + 0.111725i
\(130\) 9.87841 + 6.59460i 0.866394 + 0.578385i
\(131\) 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
\(135\) −0.525657 + 30.1478i −0.0452414 + 2.59471i
\(136\) −1.12646 2.46660i −0.0965932 0.211510i
\(137\) 14.7844i 1.26311i 0.775329 + 0.631557i \(0.217584\pi\)
−0.775329 + 0.631557i \(0.782416\pi\)
\(138\) 25.2355 + 0.412999i 2.14819 + 0.0351568i
\(139\) 4.73976 0.402022 0.201011 0.979589i \(-0.435577\pi\)
0.201011 + 0.979589i \(0.435577\pi\)
\(140\) −1.00634 + 0.126825i −0.0850511 + 0.0107187i
\(141\) 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
\(145\) 1.42678 8.82800i 0.118487 0.733126i
\(146\) −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 \(0.916434\pi\)
\(150\) 22.6187 13.4457i 1.84681 1.09784i
\(151\) −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
\(155\) −4.62122 10.6045i −0.371186 0.851775i
\(156\) −6.16354 3.96106i −0.493478 0.317139i
\(157\) −6.34230 5.49563i −0.506171 0.438599i 0.363964 0.931413i \(-0.381423\pi\)
−0.870135 + 0.492814i \(0.835968\pi\)
\(158\) −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 −0.642104 0.766617i \(-0.721938\pi\)
0.158882 + 0.987298i \(0.449211\pi\)
\(164\) 5.97096 1.75323i 0.466254 0.136904i
\(165\) −15.3666 24.8531i −1.19629 1.93481i
\(166\) 14.4537 + 9.28881i 1.12182 + 0.720952i
\(167\) −0.990001 + 0.857841i −0.0766086 + 0.0663817i −0.692323 0.721587i \(-0.743413\pi\)
0.615715 + 0.787969i \(0.288867\pi\)
\(168\) −4.28956 + 0.616746i −0.330947 + 0.0475830i
\(169\) −2.48534 0.729761i −0.191180 0.0561355i
\(170\) −4.53368 + 1.24578i −0.347718 + 0.0955471i
\(171\) −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 0.434328 0.900755i \(-0.356986\pi\)
−0.396321 + 0.918112i \(0.629713\pi\)
\(174\) −2.99525 + 20.8324i −0.227069 + 1.57930i
\(175\) 0.111302 3.19076i 0.00841364 0.241199i
\(176\) 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 \(0.605695\pi\)
\(180\) −9.75253 + 6.02996i −0.726911 + 0.449447i
\(181\) 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
\(190\) 1.58517 0.690784i 0.115000 0.0501147i
\(191\) −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 0.531296 0.847186i \(-0.321705\pi\)
−0.991336 + 0.131350i \(0.958069\pi\)
\(194\) 1.51116 10.5103i 0.108495 0.754598i
\(195\) 15.4039 17.1631i 1.10310 1.22908i
\(196\) −1.94540 + 4.25983i −0.138957 + 0.304274i
\(197\) 12.5674 + 1.80693i 0.895393 + 0.128738i 0.574622 0.818419i \(-0.305149\pi\)
0.320771 + 0.947157i \(0.396058\pi\)
\(198\) 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 \(0.396307\pi\)
\(200\) −9.49672 4.74385i −0.671520 0.335441i
\(201\) 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
\(205\) 2.44926 + 19.4345i 0.171064 + 1.35737i
\(206\) −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
\(210\) −0.130997 + 7.51301i −0.00903964 + 0.518447i
\(211\) −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
\(215\) 0.911586 1.36551i 0.0621697 0.0931273i
\(216\) −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
\(220\) 2.80008 5.85880i 0.188781 0.395001i
\(221\) −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 −0.224480 0.974479i \(-0.572068\pi\)
0.0591553 + 0.998249i \(0.481159\pi\)
\(224\) −1.60876 1.85660i −0.107490 0.124050i
\(225\) −13.8395 33.3331i −0.922633 2.22221i
\(226\) 16.1959 18.6911i 1.07734 1.24331i
\(227\) −1.51570 5.16201i −0.100601 0.342615i 0.893776 0.448513i \(-0.148046\pi\)
−0.994377 + 0.105899i \(0.966228\pi\)
\(228\) −0.970244 + 0.443095i −0.0642560 + 0.0293447i
\(229\) 9.00062 0.594778 0.297389 0.954756i \(-0.403884\pi\)
0.297389 + 0.954756i \(0.403884\pi\)
\(230\) −16.2981 + 6.78722i −1.07466 + 0.447536i
\(231\) 8.34419 0.549007
\(232\) 7.72358 3.52724i 0.507078 0.231575i
\(233\) 1.45343 + 4.94991i 0.0952171 + 0.324280i 0.993303 0.115541i \(-0.0368602\pi\)
−0.898086 + 0.439821i \(0.855042\pi\)
\(234\) −25.1087 + 28.9770i −1.64141 + 1.89428i
\(235\) −1.01120 + 0.845803i −0.0659636 + 0.0551741i
\(236\) 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 \(0.273983\pi\)
\(240\) 31.7049 + 15.1526i 2.04654 + 0.978097i
\(241\) −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
\(245\) −12.2599 8.18443i −0.783256 0.522884i
\(246\) −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
\(250\) −10.7472 + 14.9431i −0.679712 + 0.945084i
\(251\) −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
\(255\) 1.14149 + 9.05757i 0.0714830 + 0.567207i
\(256\) −14.5391 + 4.26907i −0.908694 + 0.266817i
\(257\) 15.5654 + 13.4875i 0.970944 + 0.841328i 0.987353 0.158538i \(-0.0506779\pi\)
−0.0164089 + 0.999865i \(0.505223\pi\)
\(258\) −2.08910 + 3.25070i −0.130062 + 0.202380i
\(259\) 3.99735 + 4.61319i 0.248383 + 0.286650i
\(260\) 5.05938 + 0.817695i 0.313770 + 0.0507113i
\(261\) 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 −0.264558 0.964370i \(-0.585226\pi\)
−0.525536 + 0.850771i \(0.676135\pi\)
\(264\) 11.5253 25.2370i 0.709336 1.55323i
\(265\) 11.1751 + 10.0296i 0.686480 + 0.616116i
\(266\) −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 \(0.884095\pi\)
\(270\) 19.8311 + 45.5074i 1.20689 + 2.76949i
\(271\) −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 \(0.232784\pi\)
−0.744298 + 0.667848i \(0.767216\pi\)
\(278\) 7.09803 3.24156i 0.425711 0.194416i
\(279\) 35.8297 10.5206i 2.14507 0.629849i
\(280\) 2.57840 1.59422i 0.154089 0.0952727i
\(281\) −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 −0.153025 0.988222i \(-0.548902\pi\)
0.131588 + 0.991305i \(0.457992\pi\)
\(284\) −5.68454 1.66913i −0.337316 0.0990448i
\(285\) −0.889595 3.23744i −0.0526951 0.191769i
\(286\) 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
\(290\) −3.90087 14.1962i −0.229067 0.833627i
\(291\) −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 −0.0292653 0.999572i \(-0.509317\pi\)
0.985233 + 0.171221i \(0.0547713\pi\)
\(294\) 29.1856 + 18.7564i 1.70214 + 1.09390i
\(295\) −9.82053 + 6.07200i −0.571773 + 0.353526i
\(296\) 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
\(305\) −2.27476 5.21999i −0.130252 0.298896i
\(306\) −2.16004 15.0234i −0.123482 0.858833i
\(307\) 4.30546 14.6631i 0.245726 0.836865i −0.740584 0.671964i \(-0.765451\pi\)
0.986310 0.164902i \(-0.0527307\pi\)
\(308\) 1.00252 + 1.55995i 0.0571240 + 0.0888867i
\(309\) −1.16555 + 8.10656i −0.0663057 + 0.461166i
\(310\) −14.1730 12.7203i −0.804973 0.722464i
\(311\) −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 0.431748 0.901994i \(-0.357897\pi\)
−0.999837 + 0.0180296i \(0.994261\pi\)
\(314\) −13.2564 3.89243i −0.748102 0.219663i
\(315\) 10.1745 + 1.64440i 0.573270 + 0.0926516i
\(316\) −7.63218 8.80801i −0.429344 0.495489i
\(317\) 9.89235 15.3928i 0.555610 0.864545i −0.443893 0.896080i \(-0.646403\pi\)
0.999503 + 0.0315344i \(0.0100394\pi\)
\(318\) −26.7085 23.1430i −1.49774 1.29780i
\(319\) −15.6864 + 4.60594i −0.878269 + 0.257883i
\(320\) −0.978121 7.76124i −0.0546787 0.433867i
\(321\) −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
\(325\) −5.08177 + 15.3107i −0.281886 + 0.849288i
\(326\) −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
\(330\) −40.0095 26.7094i −2.20245 1.47030i
\(331\) 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
\(335\) −4.84810 2.31704i −0.264880 0.126593i
\(336\) −8.44169 + 5.42514i −0.460532 + 0.295966i
\(337\) 4.42873 15.0829i 0.241248 0.821616i −0.746476 0.665412i \(-0.768256\pi\)
0.987725 0.156204i \(-0.0499259\pi\)
\(338\) −4.22101 + 0.606889i −0.229592 + 0.0330104i
\(339\) −31.4472 36.2920i −1.70798 1.97111i
\(340\) −1.55618 + 1.30164i −0.0843955 + 0.0705911i
\(341\) −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
\(345\) 8.54079 + 33.1989i 0.459821 + 1.78737i
\(346\) 0.904780 0.0486413
\(347\) −31.0955 + 14.2008i −1.66929 + 0.762341i −0.669485 + 0.742825i \(0.733485\pi\)
−0.999810 + 0.0195162i \(0.993787\pi\)
\(348\) 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 \(0.0848453\pi\)
\(350\) −2.01551 4.85445i −0.107733 0.259481i
\(351\) 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 \(0.439846\pi\)
−0.689050 + 0.724714i \(0.741972\pi\)
\(354\) 22.8604 14.6915i 1.21501 0.780842i
\(355\) 8.04147 16.8258i 0.426797 0.893018i
\(356\) 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 \(0.406694\pi\)
\(360\) 19.0270 28.5015i 1.00281 1.50216i
\(361\) 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
\(365\) 0.0287548 1.64916i 0.00150509 0.0863211i
\(366\) 5.56710 + 12.1902i 0.290997 + 0.637195i
\(367\) 22.9608i 1.19854i −0.800546 0.599271i \(-0.795457\pi\)
0.800546 0.599271i \(-0.204543\pi\)
\(368\) −19.6229 13.0695i −1.02291 0.681294i
\(369\) −63.2340 −3.29183
\(370\) −4.40022 34.9151i −0.228757 1.81515i
\(371\) −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 −0.965569 0.260148i \(-0.916229\pi\)
0.637751 + 0.770243i \(0.279865\pi\)
\(374\) 5.62893 + 6.49613i 0.291065 + 0.335907i
\(375\) 25.7495 + 24.7843i 1.32970 + 1.27986i
\(376\) −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 \(0.265889\pi\)
\(380\) 0.498361 0.555276i 0.0255654 0.0284851i
\(381\) 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 \(0.293582\pi\)
−0.938989 + 0.343947i \(0.888236\pi\)
\(384\) 6.12059 + 42.5697i 0.312340 + 2.17237i
\(385\) −5.35084 + 2.33178i −0.272704 + 0.118839i
\(386\) −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
\(395\) 31.2028 19.2926i 1.56998 0.970714i
\(396\) 17.6345 + 11.3330i 0.886167 + 0.569505i
\(397\) −1.67657 + 1.45276i −0.0841449 + 0.0729120i −0.695918 0.718122i \(-0.745002\pi\)
0.611773 + 0.791034i \(0.290457\pi\)
\(398\) 26.3893 3.79421i 1.32278 0.190186i
\(399\) 0.919927 + 0.270115i 0.0460540 + 0.0135227i
\(400\) −24.5657 0.856913i −1.22828 0.0428457i
\(401\) −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
\(405\) 46.2492 12.7085i 2.29814 0.631492i
\(406\) 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 \(0.599639\pi\)
\(410\) 16.9593 + 27.4291i 0.837560 + 1.35463i
\(411\) 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 \(0.452507\pi\)
\(420\) 1.29529 + 2.97236i 0.0632037 + 0.145036i
\(421\) 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
\(425\) −3.26314 5.48932i −0.158285 0.266271i
\(426\) −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
\(430\) 0.431260 2.66836i 0.0207972 0.128680i
\(431\) 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 0.701342 0.712825i \(-0.252585\pi\)
−0.605758 + 0.795649i \(0.707130\pi\)
\(434\) 5.21804 1.53216i 0.250474 0.0735458i
\(435\) −28.3616 + 3.57431i −1.35984 + 0.171375i
\(436\) −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 \(-0.355036\pi\)
\(440\) −0.338334 + 19.4044i −0.0161295 + 0.925067i
\(441\) 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 −0.314441 0.949277i \(-0.601817\pi\)
0.894865 + 0.446337i \(0.147272\pi\)
\(444\) 3.08936 + 21.4869i 0.146614 + 1.01973i
\(445\) 11.1514 + 7.44444i 0.528628 + 0.352900i
\(446\) −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 \(-0.0921212\pi\)
\(450\) −43.5221 40.4530i −2.05165 1.90697i
\(451\) 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
\(455\) −2.95562 3.53360i −0.138562 0.165658i
\(456\) 2.08760 2.40922i 0.0977610 0.112822i
\(457\) −8.91353 30.3567i −0.416958 1.42003i −0.853853 0.520515i \(-0.825740\pi\)
0.436895 0.899512i \(-0.356078\pi\)
\(458\) 13.4789 6.15559i 0.629826 0.287632i
\(459\) −17.2224 −0.803875
\(460\) −5.18043 + 5.58543i −0.241539 + 0.260422i
\(461\) −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 \(-0.911489\pi\)
0.660535 0.750795i \(-0.270329\pi\)
\(464\) 12.8750 14.8586i 0.597708 0.689792i
\(465\) −28.3636 + 23.7243i −1.31533 + 1.10019i
\(466\) 5.56186 + 6.41873i 0.257648 + 0.297342i
\(467\) 39.2327 5.64081i 1.81547 0.261026i 0.850992 0.525179i \(-0.176002\pi\)
0.964481 + 0.264153i \(0.0850925\pi\)
\(468\) −4.66111 + 15.8743i −0.215460 + 0.733788i
\(469\) 1.29085 0.829577i 0.0596058 0.0383063i
\(470\) −0.935875 + 1.95820i −0.0431687 + 0.0903250i
\(471\) −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
\(475\) 1.47517 + 1.82746i 0.0676854 + 0.0838497i
\(476\) −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 \(0.185100\pi\)
\(480\) 27.4956 + 0.479412i 1.25500 + 0.0218821i
\(481\) −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
\(485\) 14.3089 1.80330i 0.649736 0.0818838i
\(486\) −44.4092 + 13.0397i −2.01444 + 0.591493i
\(487\) 12.2109 + 10.5808i 0.553327 + 0.479460i 0.886066 0.463558i \(-0.153428\pi\)
−0.332740 + 0.943019i \(0.607973\pi\)
\(488\) 2.92298 4.54824i 0.132317 0.205889i
\(489\) 14.1976 + 16.3849i 0.642038 + 0.740951i
\(490\) −23.9572 3.87195i −1.08228 0.174917i
\(491\) −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
\(495\) −44.0722 + 49.1054i −1.98090 + 2.20713i
\(496\) 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 \(0.879051\pi\)
\(500\) −1.53975 + 7.79163i −0.0688598 + 0.348452i
\(501\) 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 \(0.227993\pi\)
−0.279560 + 0.960128i \(0.590189\pi\)
\(504\) 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 \(0.219396\pi\)
\(510\) 7.90398 + 12.7835i 0.349994 + 0.566062i
\(511\) 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
\(515\) −1.51795 5.52418i −0.0668890 0.243424i
\(516\) −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
\(520\) −14.7698 + 4.05850i −0.647699 + 0.177977i
\(521\) 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 −0.477114 0.878841i \(-0.658317\pi\)
0.801996 + 0.597330i \(0.203772\pi\)
\(524\) 7.85023 + 5.04504i 0.342939 + 0.220394i
\(525\) −9.88674 + 2.53220i −0.431493 + 0.110514i
\(526\) −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
\(535\) 5.56172 2.42368i 0.240454 0.104785i
\(536\) −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
\(540\) 15.9410 + 14.3070i 0.685990 + 0.615677i
\(541\) 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
\(545\) 2.65370 16.4194i 0.113672 0.703331i
\(546\) 7.10009 + 8.19394i 0.303856 + 0.350668i
\(547\) −8.90580 + 13.8577i −0.380785 + 0.592512i −0.977755 0.209751i \(-0.932735\pi\)
0.596970 + 0.802263i \(0.296371\pi\)
\(548\) 7.93730 + 6.87771i 0.339065 + 0.293801i
\(549\) 17.6369 5.17866i 0.752725 0.221020i
\(550\) 33.1206 + 5.94719i 1.41227 + 0.253589i
\(551\) −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
\(555\) −68.3195 1.19122i −2.90000 0.0505644i
\(556\) 2.20495 2.54464i 0.0935105 0.107917i
\(557\) 17.0009 26.4538i 0.720349 1.12089i −0.267210 0.963638i \(-0.586102\pi\)
0.987559 0.157247i \(-0.0502619\pi\)
\(558\) 46.4617 40.2593i 1.96688 1.70431i
\(559\) −0.337143 2.34488i −0.0142596 0.0991779i
\(560\) 3.89731 5.83799i 0.164691 0.246700i
\(561\) 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 −0.533879 0.845561i \(-0.679266\pi\)
−0.988649 + 0.150246i \(0.951993\pi\)
\(564\) 0.556153 1.21781i 0.0234183 0.0512789i
\(565\) 30.3078 + 14.4849i 1.27506 + 0.609384i
\(566\) −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 \(0.669043\pi\)
\(570\) −3.54632 4.23982i −0.148539 0.177587i
\(571\) 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
\(575\) −14.7544 18.9026i −0.615299 0.788294i
\(576\) 25.2527 1.05220
\(577\) 4.78684 2.18608i 0.199279 0.0910076i −0.313276 0.949662i \(-0.601426\pi\)
0.512555 + 0.858655i \(0.328699\pi\)
\(578\) 7.12839 + 24.2771i 0.296502 + 1.00979i
\(579\) −24.7460 + 28.5584i −1.02841 + 1.18685i
\(580\) −4.07576 4.87280i −0.169237 0.202332i
\(581\) −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
\(585\) −46.9864 22.4561i −1.94265 0.928444i
\(586\) 14.8080 32.4250i 0.611713 1.33946i
\(587\) −22.8678 10.4434i −0.943856 0.431045i −0.116795 0.993156i \(-0.537262\pi\)
−0.827062 + 0.562111i \(0.809989\pi\)
\(588\) 14.8175 + 2.13043i 0.611063 + 0.0878576i
\(589\) −2.04419 + 1.31372i −0.0842292 + 0.0541308i
\(590\) −10.5540 + 15.8095i −0.434503 + 0.650865i
\(591\) −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 −0.903350 0.428904i \(-0.858900\pi\)
0.765410 + 0.643543i \(0.222536\pi\)
\(594\) 59.4300 68.5859i 2.43844 2.81411i
\(595\) 1.82333 + 0.0317915i 0.0747492 + 0.00130333i
\(596\) 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 \(0.646825\pi\)
\(600\) −5.99735 + 33.4000i −0.244841 + 1.36355i
\(601\) −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
\(605\) 2.03755 12.6071i 0.0828383 0.512552i
\(606\) −64.4968 18.9380i −2.62000 0.769302i
\(607\) 18.2962 + 28.4695i 0.742621 + 1.15554i 0.982775 + 0.184806i \(0.0591658\pi\)
−0.240154 + 0.970735i \(0.577198\pi\)
\(608\) 1.78872 + 0.257179i 0.0725420 + 0.0104300i
\(609\) 3.39109 7.42544i 0.137414 0.300894i
\(610\) −6.97656 6.26146i −0.282472 0.253519i
\(611\) −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 −0.937778 0.347237i \(-0.887120\pi\)
0.976639 + 0.214887i \(0.0689382\pi\)
\(614\) −3.58054 24.9032i −0.144499 1.00501i
\(615\) 57.4025 25.0148i 2.31469 1.00869i
\(616\) −4.66226 2.99625i −0.187848 0.120722i
\(617\) 22.5722 + 19.5589i 0.908721 + 0.787412i 0.977656 0.210210i \(-0.0674146\pi\)
−0.0689350 + 0.997621i \(0.521960\pi\)
\(618\) 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
\(625\) −23.4382 8.69764i −0.937530 0.347906i
\(626\) −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
\(630\) 16.3615 4.49587i 0.651857 0.179120i
\(631\) −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
\(635\) 5.40998 + 19.6881i 0.214688 + 0.781300i
\(636\) −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
\(640\) −15.8210 25.5881i −0.625381 1.01146i
\(641\) −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 \(-0.884345\pi\)
0.934715 0.355399i \(-0.115655\pi\)
\(644\) −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 0.857204 0.514977i \(-0.172200\pi\)
−0.999543 + 0.0302132i \(0.990381\pi\)
\(648\) 34.4175 + 29.8230i 1.35205 + 1.17156i
\(649\) 17.7575 + 11.4120i 0.697041 + 0.447961i
\(650\) 2.86094 + 26.4041i 0.112215 + 1.03565i
\(651\) −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 \(-0.985549\pi\)
0.373705 0.927548i \(-0.378087\pi\)
\(654\) −5.57095 + 38.7468i −0.217841 + 1.51512i
\(655\) −19.6193 + 21.8599i −0.766590 + 0.854139i
\(656\) −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 \(0.704984\pi\)
\(660\) −20.4915 3.31182i −0.797629 0.128912i
\(661\) 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
\(665\) −0.665402 + 0.0838582i −0.0258032 + 0.00325188i
\(666\) 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
\(670\) −8.84491 0.154220i −0.341709 0.00595802i
\(671\) −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 −0.577220 0.816589i \(-0.695863\pi\)
0.726130 + 0.687557i \(0.241317\pi\)
\(674\) −3.68305 25.6162i −0.141866 0.986698i
\(675\) −52.4631 + 42.3494i −2.01930 + 1.63003i
\(676\) −1.54797 + 0.994820i −0.0595373 + 0.0382623i
\(677\) −12.8777 1.85153i −0.494930 0.0711601i −0.109669 0.993968i \(-0.534979\pi\)
−0.385260 + 0.922808i \(0.625888\pi\)
\(678\) −71.9140 32.8420i −2.76184 1.26129i
\(679\) −1.71086 + 3.74627i −0.0656569 + 0.143769i
\(680\) 2.61461 5.47074i 0.100266 0.209793i
\(681\) −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 −0.996000 0.0893487i \(-0.971521\pi\)
−0.930483 + 0.366335i \(0.880612\pi\)
\(684\) 1.57729 + 1.82030i 0.0603094 + 0.0696007i
\(685\) −25.3578 + 21.2101i −0.968873 + 0.810396i
\(686\) 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
\(690\) 35.4953 + 43.8759i 1.35128 + 1.67033i
\(691\) 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
\(695\) 6.79981 + 8.12954i 0.257931 + 0.308371i
\(696\) −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
\(700\) −1.66125 1.54410i −0.0627894 0.0583616i
\(701\) 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
\(705\) 3.50487 + 2.33977i 0.132001 + 0.0881210i
\(706\) 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 \(0.00843798\pi\)
\(710\) 0.535232 30.6970i 0.0200869 1.15204i
\(711\) 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
\(715\) 29.2609 3.68764i 1.09429 0.137910i
\(716\) 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 \(0.851917\pi\)
\(720\) 12.6602 78.3337i 0.471819 2.91932i
\(721\) 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
\(725\) 17.1885 10.2177i 0.638365 0.379477i
\(726\) −4.27746 + 29.7504i −0.158752 + 1.10414i
\(727\) 24.7010 + 38.4355i 0.916110 + 1.42550i 0.904931 + 0.425558i \(0.139922\pi\)
0.0111793 + 0.999938i \(0.496441\pi\)
\(728\) 1.23232 4.19688i 0.0456727 0.155547i
\(729\) 3.63167 + 25.2588i 0.134506 + 0.935512i
\(730\) −1.08481 2.48937i −0.0401507 0.0921356i
\(731\) 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 \(-0.730637\pi\)
0.152768 0.988262i \(-0.451181\pi\)
\(734\) −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 \(0.772342\pi\)
\(740\) −7.98562 12.9155i −0.293557 0.474784i
\(741\) −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 −0.0494736 0.998775i \(-0.515754\pi\)
0.233918 + 0.972256i \(0.424845\pi\)
\(744\) −33.6877 9.89159i −1.23505 0.362643i
\(745\) −33.5439 + 9.21732i −1.22895 + 0.337696i
\(746\) −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
\(750\) 55.5113 + 19.5055i 2.02699 + 0.712238i
\(751\) −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
\(755\) −1.61134 + 0.996286i −0.0586427 + 0.0362586i
\(756\) −5.86894 + 1.72328i −0.213451 + 0.0626750i
\(757\) −25.8760 + 11.8172i −0.940481 + 0.429503i −0.825840 0.563904i \(-0.809299\pi\)
−0.114640 + 0.993407i \(0.536572\pi\)
\(758\) 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
\(765\) 18.8985 8.23555i 0.683275 0.297757i
\(766\) 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 \(-0.0308549\pi\)
\(770\) −6.41842 + 7.15144i −0.231304 + 0.257720i
\(771\) 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 0.685718 0.727867