Properties

Label 546.2.u.a.425.15
Level $546$
Weight $2$
Character 546.425
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 425.15
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(1.11365 + 1.32657i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.12998 + 3.68924i) q^{5} +(-1.62773 - 0.592023i) q^{6} +(-1.07162 + 2.41901i) q^{7} +1.00000i q^{8} +(-0.519589 + 2.95466i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(1.11365 + 1.32657i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.12998 + 3.68924i) q^{5} +(-1.62773 - 0.592023i) q^{6} +(-1.07162 + 2.41901i) q^{7} +1.00000i q^{8} +(-0.519589 + 2.95466i) q^{9} -4.25996i q^{10} +1.48711i q^{11} +(1.70567 - 0.301159i) q^{12} +(2.41401 - 2.67816i) q^{13} +(-0.281454 - 2.63074i) q^{14} +(-7.26609 + 1.28293i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.33253 - 2.30802i) q^{17} +(-1.02735 - 2.81861i) q^{18} -4.10864i q^{19} +(2.12998 + 3.68924i) q^{20} +(-4.40240 + 1.27234i) q^{21} +(-0.743556 - 1.28788i) q^{22} +(-0.137205 + 0.0792156i) q^{23} +(-1.32657 + 1.11365i) q^{24} +(-6.57365 - 11.3859i) q^{25} +(-0.751517 + 3.52636i) q^{26} +(-4.49821 + 2.60117i) q^{27} +(1.55912 + 2.13756i) q^{28} +(-0.413684 - 0.238841i) q^{29} +(5.65115 - 4.74409i) q^{30} +(3.04646 - 1.75887i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-1.97276 + 1.65611i) q^{33} +2.66507i q^{34} +(-6.64178 - 9.10593i) q^{35} +(2.29902 + 1.92731i) q^{36} +(5.23854 + 9.07342i) q^{37} +(2.05432 + 3.55819i) q^{38} +(6.24113 + 0.219845i) q^{39} +(-3.68924 - 2.12998i) q^{40} +(-5.13995 + 8.90266i) q^{41} +(3.17643 - 3.30308i) q^{42} +(4.00148 + 6.93077i) q^{43} +(1.28788 + 0.743556i) q^{44} +(-9.79373 - 8.21027i) q^{45} +(0.0792156 - 0.137205i) q^{46} +(-2.27135 + 3.93409i) q^{47} +(0.592023 - 1.62773i) q^{48} +(-4.70325 - 5.18454i) q^{49} +(11.3859 + 6.57365i) q^{50} +(4.54572 - 0.802608i) q^{51} +(-1.11235 - 3.42968i) q^{52} +(3.23858 - 1.86979i) q^{53} +(2.59498 - 4.50179i) q^{54} +(-5.48631 - 3.16752i) q^{55} +(-2.41901 - 1.07162i) q^{56} +(5.45041 - 4.57557i) q^{57} +0.477682 q^{58} +(2.39384 - 4.14626i) q^{59} +(-2.52200 + 6.93408i) q^{60} +2.64025i q^{61} +(-1.75887 + 3.04646i) q^{62} +(-6.59056 - 4.42318i) q^{63} -1.00000 q^{64} +(4.73856 + 14.6103i) q^{65} +(0.880404 - 2.42062i) q^{66} -3.26889 q^{67} +(-1.33253 - 2.30802i) q^{68} +(-0.257883 - 0.0937949i) q^{69} +(10.3049 + 4.56508i) q^{70} +(7.70265 - 4.44713i) q^{71} +(-2.95466 - 0.519589i) q^{72} +(-6.03059 + 3.48176i) q^{73} +(-9.07342 - 5.23854i) q^{74} +(7.78350 - 21.4003i) q^{75} +(-3.55819 - 2.05432i) q^{76} +(-3.59734 - 1.59362i) q^{77} +(-5.51490 + 2.93017i) q^{78} +(-8.20543 + 14.2122i) q^{79} +4.25996 q^{80} +(-8.46005 - 3.07042i) q^{81} -10.2799i q^{82} -8.37013 q^{83} +(-1.09933 + 4.44876i) q^{84} +(5.67655 + 9.83207i) q^{85} +(-6.93077 - 4.00148i) q^{86} +(-0.143858 - 0.814766i) q^{87} -1.48711 q^{88} +(-5.94520 - 10.2974i) q^{89} +(12.5868 + 2.21343i) q^{90} +(3.89159 + 8.70951i) q^{91} +0.158431i q^{92} +(5.72594 + 2.08259i) q^{93} -4.54269i q^{94} +(15.1578 + 8.75134i) q^{95} +(0.301159 + 1.70567i) q^{96} +(3.13800 - 1.81173i) q^{97} +(6.66540 + 2.13832i) q^{98} +(-4.39391 - 0.772687i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9} + 2 q^{13} + 12 q^{15} - 38 q^{16} - 8 q^{21} - 42 q^{25} + 20 q^{28} + 20 q^{30} + 12 q^{31} - 4 q^{36} - 6 q^{37} + 12 q^{39} + 8 q^{42} - 2 q^{43} - 4 q^{46} + 2 q^{49} + 10 q^{51} - 14 q^{52} + 18 q^{54} + 24 q^{55} + 8 q^{57} + 16 q^{58} - 12 q^{60} + 32 q^{63} - 76 q^{64} - 24 q^{66} + 96 q^{67} - 30 q^{69} - 54 q^{73} - 12 q^{75} + 18 q^{76} - 12 q^{78} - 60 q^{79} + 8 q^{81} + 8 q^{84} + 8 q^{85} - 24 q^{87} + 48 q^{91} + 16 q^{93} - 66 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) 1.11365 + 1.32657i 0.642963 + 0.765897i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −2.12998 + 3.68924i −0.952557 + 1.64988i −0.212695 + 0.977119i \(0.568224\pi\)
−0.739862 + 0.672759i \(0.765109\pi\)
\(6\) −1.62773 0.592023i −0.664518 0.241692i
\(7\) −1.07162 + 2.41901i −0.405035 + 0.914301i
\(8\) 1.00000i 0.353553i
\(9\) −0.519589 + 2.95466i −0.173196 + 0.984887i
\(10\) 4.25996i 1.34712i
\(11\) 1.48711i 0.448381i 0.974545 + 0.224191i \(0.0719738\pi\)
−0.974545 + 0.224191i \(0.928026\pi\)
\(12\) 1.70567 0.301159i 0.492384 0.0869370i
\(13\) 2.41401 2.67816i 0.669527 0.742788i
\(14\) −0.281454 2.63074i −0.0752217 0.703094i
\(15\) −7.26609 + 1.28293i −1.87610 + 0.331250i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.33253 2.30802i 0.323187 0.559776i −0.657957 0.753056i \(-0.728579\pi\)
0.981144 + 0.193280i \(0.0619124\pi\)
\(18\) −1.02735 2.81861i −0.242150 0.664352i
\(19\) 4.10864i 0.942587i −0.881976 0.471294i \(-0.843787\pi\)
0.881976 0.471294i \(-0.156213\pi\)
\(20\) 2.12998 + 3.68924i 0.476279 + 0.824939i
\(21\) −4.40240 + 1.27234i −0.960683 + 0.277647i
\(22\) −0.743556 1.28788i −0.158527 0.274576i
\(23\) −0.137205 + 0.0792156i −0.0286093 + 0.0165176i −0.514236 0.857648i \(-0.671925\pi\)
0.485627 + 0.874166i \(0.338591\pi\)
\(24\) −1.32657 + 1.11365i −0.270785 + 0.227322i
\(25\) −6.57365 11.3859i −1.31473 2.27718i
\(26\) −0.751517 + 3.52636i −0.147385 + 0.691576i
\(27\) −4.49821 + 2.60117i −0.865681 + 0.500596i
\(28\) 1.55912 + 2.13756i 0.294645 + 0.403961i
\(29\) −0.413684 0.238841i −0.0768193 0.0443516i 0.461098 0.887349i \(-0.347456\pi\)
−0.537918 + 0.842997i \(0.680789\pi\)
\(30\) 5.65115 4.74409i 1.03175 0.866148i
\(31\) 3.04646 1.75887i 0.547160 0.315903i −0.200816 0.979629i \(-0.564359\pi\)
0.747976 + 0.663726i \(0.231026\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) −1.97276 + 1.65611i −0.343414 + 0.288293i
\(34\) 2.66507i 0.457055i
\(35\) −6.64178 9.10593i −1.12267 1.53918i
\(36\) 2.29902 + 1.92731i 0.383170 + 0.321218i
\(37\) 5.23854 + 9.07342i 0.861211 + 1.49166i 0.870761 + 0.491707i \(0.163627\pi\)
−0.00954999 + 0.999954i \(0.503040\pi\)
\(38\) 2.05432 + 3.55819i 0.333255 + 0.577215i
\(39\) 6.24113 + 0.219845i 0.999380 + 0.0352033i
\(40\) −3.68924 2.12998i −0.583320 0.336780i
\(41\) −5.13995 + 8.90266i −0.802726 + 1.39036i 0.115090 + 0.993355i \(0.463284\pi\)
−0.917816 + 0.397007i \(0.870049\pi\)
\(42\) 3.17643 3.30308i 0.490133 0.509676i
\(43\) 4.00148 + 6.93077i 0.610221 + 1.05693i 0.991203 + 0.132351i \(0.0422526\pi\)
−0.380982 + 0.924582i \(0.624414\pi\)
\(44\) 1.28788 + 0.743556i 0.194155 + 0.112095i
\(45\) −9.79373 8.21027i −1.45996 1.22391i
\(46\) 0.0792156 0.137205i 0.0116797 0.0202298i
\(47\) −2.27135 + 3.93409i −0.331310 + 0.573846i −0.982769 0.184838i \(-0.940824\pi\)
0.651459 + 0.758684i \(0.274157\pi\)
\(48\) 0.592023 1.62773i 0.0854512 0.234943i
\(49\) −4.70325 5.18454i −0.671893 0.740649i
\(50\) 11.3859 + 6.57365i 1.61021 + 0.929654i
\(51\) 4.54572 0.802608i 0.636528 0.112388i
\(52\) −1.11235 3.42968i −0.154255 0.475611i
\(53\) 3.23858 1.86979i 0.444853 0.256836i −0.260801 0.965393i \(-0.583987\pi\)
0.705654 + 0.708557i \(0.250653\pi\)
\(54\) 2.59498 4.50179i 0.353132 0.612616i
\(55\) −5.48631 3.16752i −0.739774 0.427109i
\(56\) −2.41901 1.07162i −0.323254 0.143202i
\(57\) 5.45041 4.57557i 0.721925 0.606049i
\(58\) 0.477682 0.0627227
\(59\) 2.39384 4.14626i 0.311652 0.539797i −0.667068 0.744997i \(-0.732451\pi\)
0.978720 + 0.205200i \(0.0657844\pi\)
\(60\) −2.52200 + 6.93408i −0.325588 + 0.895186i
\(61\) 2.64025i 0.338049i 0.985612 + 0.169025i \(0.0540617\pi\)
−0.985612 + 0.169025i \(0.945938\pi\)
\(62\) −1.75887 + 3.04646i −0.223377 + 0.386900i
\(63\) −6.59056 4.42318i −0.830333 0.557268i
\(64\) −1.00000 −0.125000
\(65\) 4.73856 + 14.6103i 0.587746 + 1.81218i
\(66\) 0.880404 2.42062i 0.108370 0.297957i
\(67\) −3.26889 −0.399359 −0.199679 0.979861i \(-0.563990\pi\)
−0.199679 + 0.979861i \(0.563990\pi\)
\(68\) −1.33253 2.30802i −0.161593 0.279888i
\(69\) −0.257883 0.0937949i −0.0310455 0.0112916i
\(70\) 10.3049 + 4.56508i 1.23167 + 0.545631i
\(71\) 7.70265 4.44713i 0.914136 0.527777i 0.0323767 0.999476i \(-0.489692\pi\)
0.881760 + 0.471699i \(0.156359\pi\)
\(72\) −2.95466 0.519589i −0.348210 0.0612342i
\(73\) −6.03059 + 3.48176i −0.705828 + 0.407510i −0.809514 0.587100i \(-0.800269\pi\)
0.103687 + 0.994610i \(0.466936\pi\)
\(74\) −9.07342 5.23854i −1.05476 0.608968i
\(75\) 7.78350 21.4003i 0.898762 2.47109i
\(76\) −3.55819 2.05432i −0.408152 0.235647i
\(77\) −3.59734 1.59362i −0.409955 0.181610i
\(78\) −5.51490 + 2.93017i −0.624439 + 0.331777i
\(79\) −8.20543 + 14.2122i −0.923183 + 1.59900i −0.128725 + 0.991680i \(0.541089\pi\)
−0.794458 + 0.607320i \(0.792245\pi\)
\(80\) 4.25996 0.476279
\(81\) −8.46005 3.07042i −0.940006 0.341158i
\(82\) 10.2799i 1.13523i
\(83\) −8.37013 −0.918741 −0.459370 0.888245i \(-0.651925\pi\)
−0.459370 + 0.888245i \(0.651925\pi\)
\(84\) −1.09933 + 4.44876i −0.119946 + 0.485400i
\(85\) 5.67655 + 9.83207i 0.615708 + 1.06644i
\(86\) −6.93077 4.00148i −0.747365 0.431491i
\(87\) −0.143858 0.814766i −0.0154232 0.0873521i
\(88\) −1.48711 −0.158527
\(89\) −5.94520 10.2974i −0.630190 1.09152i −0.987513 0.157540i \(-0.949644\pi\)
0.357322 0.933981i \(-0.383690\pi\)
\(90\) 12.5868 + 2.21343i 1.32676 + 0.233316i
\(91\) 3.89159 + 8.70951i 0.407950 + 0.913004i
\(92\) 0.158431i 0.0165176i
\(93\) 5.72594 + 2.08259i 0.593753 + 0.215954i
\(94\) 4.54269i 0.468543i
\(95\) 15.1578 + 8.75134i 1.55515 + 0.897868i
\(96\) 0.301159 + 1.70567i 0.0307369 + 0.174084i
\(97\) 3.13800 1.81173i 0.318616 0.183953i −0.332160 0.943223i \(-0.607777\pi\)
0.650775 + 0.759270i \(0.274444\pi\)
\(98\) 6.66540 + 2.13832i 0.673307 + 0.216003i
\(99\) −4.39391 0.772687i −0.441605 0.0776580i
\(100\) −13.1473 −1.31473
\(101\) −4.81906 −0.479514 −0.239757 0.970833i \(-0.577068\pi\)
−0.239757 + 0.970833i \(0.577068\pi\)
\(102\) −3.53540 + 2.96794i −0.350057 + 0.293870i
\(103\) 2.15332 + 1.24322i 0.212173 + 0.122498i 0.602321 0.798254i \(-0.294243\pi\)
−0.390148 + 0.920752i \(0.627576\pi\)
\(104\) 2.67816 + 2.41401i 0.262615 + 0.236713i
\(105\) 4.68309 18.9516i 0.457023 1.84948i
\(106\) −1.86979 + 3.23858i −0.181611 + 0.314559i
\(107\) 7.96591 4.59912i 0.770093 0.444614i −0.0628146 0.998025i \(-0.520008\pi\)
0.832908 + 0.553412i \(0.186674\pi\)
\(108\) 0.00357501 + 5.19615i 0.000344005 + 0.500000i
\(109\) 3.36845 + 5.83432i 0.322639 + 0.558827i 0.981032 0.193848i \(-0.0620967\pi\)
−0.658393 + 0.752675i \(0.728763\pi\)
\(110\) 6.33504 0.604023
\(111\) −6.20267 + 17.0539i −0.588732 + 1.61868i
\(112\) 2.63074 0.281454i 0.248581 0.0265949i
\(113\) 14.7950 8.54191i 1.39180 0.803556i 0.398285 0.917262i \(-0.369606\pi\)
0.993514 + 0.113706i \(0.0362722\pi\)
\(114\) −2.43241 + 6.68777i −0.227816 + 0.626367i
\(115\) 0.674911i 0.0629358i
\(116\) −0.413684 + 0.238841i −0.0384096 + 0.0221758i
\(117\) 6.65876 + 8.52414i 0.615603 + 0.788057i
\(118\) 4.78769i 0.440742i
\(119\) 4.15515 + 5.69674i 0.380902 + 0.522219i
\(120\) −1.28293 7.26609i −0.117115 0.663300i
\(121\) 8.78850 0.798954
\(122\) −1.32012 2.28652i −0.119518 0.207012i
\(123\) −17.5341 + 3.09588i −1.58100 + 0.279146i
\(124\) 3.51775i 0.315903i
\(125\) 34.7072 3.10431
\(126\) 7.91918 + 0.535303i 0.705497 + 0.0476886i
\(127\) 2.85690 4.94830i 0.253509 0.439091i −0.710980 0.703212i \(-0.751749\pi\)
0.964490 + 0.264121i \(0.0850819\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) −4.73794 + 13.0267i −0.417152 + 1.14694i
\(130\) −11.4089 10.2836i −1.00062 0.901932i
\(131\) −7.49454 + 12.9809i −0.654801 + 1.13415i 0.327143 + 0.944975i \(0.393914\pi\)
−0.981944 + 0.189173i \(0.939419\pi\)
\(132\) 0.447857 + 2.53652i 0.0389809 + 0.220776i
\(133\) 9.93886 + 4.40292i 0.861809 + 0.381781i
\(134\) 2.83094 1.63445i 0.244556 0.141195i
\(135\) −0.0152294 22.1354i −0.00131074 1.90511i
\(136\) 2.30802 + 1.33253i 0.197911 + 0.114264i
\(137\) −9.23788 5.33349i −0.789245 0.455671i 0.0504517 0.998727i \(-0.483934\pi\)
−0.839697 + 0.543056i \(0.817267\pi\)
\(138\) 0.270231 0.0477129i 0.0230036 0.00406159i
\(139\) −9.57332 + 5.52716i −0.811998 + 0.468807i −0.847649 0.530557i \(-0.821983\pi\)
0.0356511 + 0.999364i \(0.488649\pi\)
\(140\) −11.2069 + 1.19898i −0.947152 + 0.101333i
\(141\) −7.74833 + 1.36807i −0.652527 + 0.115212i
\(142\) −4.44713 + 7.70265i −0.373195 + 0.646392i
\(143\) 3.98272 + 3.58991i 0.333052 + 0.300203i
\(144\) 2.81861 1.02735i 0.234884 0.0856128i
\(145\) 1.76228 1.01745i 0.146349 0.0844949i
\(146\) 3.48176 6.03059i 0.288153 0.499095i
\(147\) 1.63992 12.0129i 0.135258 0.990810i
\(148\) 10.4771 0.861211
\(149\) 8.40462i 0.688533i −0.938872 0.344266i \(-0.888128\pi\)
0.938872 0.344266i \(-0.111872\pi\)
\(150\) 3.95942 + 22.4249i 0.323286 + 1.83099i
\(151\) 11.2766 + 19.5317i 0.917679 + 1.58947i 0.802931 + 0.596072i \(0.203273\pi\)
0.114748 + 0.993395i \(0.463394\pi\)
\(152\) 4.10864 0.333255
\(153\) 6.12704 + 5.13641i 0.495342 + 0.415254i
\(154\) 3.91220 0.418553i 0.315254 0.0337280i
\(155\) 14.9855i 1.20366i
\(156\) 3.31095 5.29505i 0.265089 0.423943i
\(157\) 14.0883 8.13386i 1.12437 0.649153i 0.181854 0.983326i \(-0.441790\pi\)
0.942512 + 0.334173i \(0.108457\pi\)
\(158\) 16.4109i 1.30558i
\(159\) 6.08705 + 2.21392i 0.482734 + 0.175575i
\(160\) −3.68924 + 2.12998i −0.291660 + 0.168390i
\(161\) −0.0445910 0.416791i −0.00351427 0.0328477i
\(162\) 8.86183 1.57096i 0.696251 0.123427i
\(163\) −6.98050 −0.546755 −0.273377 0.961907i \(-0.588141\pi\)
−0.273377 + 0.961907i \(0.588141\pi\)
\(164\) 5.13995 + 8.90266i 0.401363 + 0.695181i
\(165\) −1.90785 10.8055i −0.148526 0.841206i
\(166\) 7.24874 4.18506i 0.562612 0.324824i
\(167\) −4.12054 + 7.13698i −0.318857 + 0.552276i −0.980250 0.197764i \(-0.936632\pi\)
0.661393 + 0.750039i \(0.269965\pi\)
\(168\) −1.27234 4.40240i −0.0981629 0.339653i
\(169\) −1.34508 12.9302i −0.103468 0.994633i
\(170\) −9.83207 5.67655i −0.754085 0.435371i
\(171\) 12.1397 + 2.13481i 0.928342 + 0.163253i
\(172\) 8.00297 0.610221
\(173\) 15.7662 1.19868 0.599342 0.800493i \(-0.295429\pi\)
0.599342 + 0.800493i \(0.295429\pi\)
\(174\) 0.531968 + 0.633679i 0.0403284 + 0.0480391i
\(175\) 34.5871 3.70036i 2.61454 0.279721i
\(176\) 1.28788 0.743556i 0.0970773 0.0560476i
\(177\) 8.16620 1.44185i 0.613809 0.108376i
\(178\) 10.2974 + 5.94520i 0.771822 + 0.445612i
\(179\) 7.52412i 0.562379i 0.959652 + 0.281190i \(0.0907290\pi\)
−0.959652 + 0.281190i \(0.909271\pi\)
\(180\) −12.0072 + 4.37649i −0.894961 + 0.326204i
\(181\) 3.30682i 0.245794i 0.992419 + 0.122897i \(0.0392185\pi\)
−0.992419 + 0.122897i \(0.960781\pi\)
\(182\) −7.72497 5.59686i −0.572613 0.414867i
\(183\) −3.50248 + 2.94030i −0.258911 + 0.217353i
\(184\) −0.0792156 0.137205i −0.00583985 0.0101149i
\(185\) −44.6320 −3.28141
\(186\) −6.00011 + 1.05940i −0.439949 + 0.0776790i
\(187\) 3.43228 + 1.98163i 0.250993 + 0.144911i
\(188\) 2.27135 + 3.93409i 0.165655 + 0.286923i
\(189\) −1.47188 13.6687i −0.107064 0.994252i
\(190\) −17.5027 −1.26978
\(191\) 25.9920i 1.88072i 0.340186 + 0.940358i \(0.389510\pi\)
−0.340186 + 0.940358i \(0.610490\pi\)
\(192\) −1.11365 1.32657i −0.0803704 0.0957371i
\(193\) 12.0753 0.869200 0.434600 0.900624i \(-0.356890\pi\)
0.434600 + 0.900624i \(0.356890\pi\)
\(194\) −1.81173 + 3.13800i −0.130074 + 0.225295i
\(195\) −14.1045 + 22.5567i −1.01005 + 1.61532i
\(196\) −6.84157 + 1.48086i −0.488683 + 0.105776i
\(197\) −2.02572 1.16955i −0.144326 0.0833268i 0.426098 0.904677i \(-0.359888\pi\)
−0.570424 + 0.821350i \(0.693221\pi\)
\(198\) 4.19158 1.52779i 0.297883 0.108575i
\(199\) −9.25711 5.34459i −0.656219 0.378868i 0.134616 0.990898i \(-0.457020\pi\)
−0.790835 + 0.612030i \(0.790353\pi\)
\(200\) 11.3859 6.57365i 0.805104 0.464827i
\(201\) −3.64038 4.33642i −0.256773 0.305867i
\(202\) 4.17343 2.40953i 0.293641 0.169534i
\(203\) 1.02107 0.744761i 0.0716652 0.0522719i
\(204\) 1.57778 4.33801i 0.110467 0.303722i
\(205\) −21.8960 37.9250i −1.52928 2.64880i
\(206\) −2.48644 −0.173238
\(207\) −0.162765 0.446555i −0.0113129 0.0310377i
\(208\) −3.52636 0.751517i −0.244509 0.0521083i
\(209\) 6.11001 0.422638
\(210\) 5.42011 + 18.7541i 0.374023 + 1.29415i
\(211\) 2.22580 3.85520i 0.153230 0.265403i −0.779183 0.626797i \(-0.784366\pi\)
0.932413 + 0.361394i \(0.117699\pi\)
\(212\) 3.73959i 0.256836i
\(213\) 14.4775 + 5.26560i 0.991979 + 0.360793i
\(214\) −4.59912 + 7.96591i −0.314389 + 0.544538i
\(215\) −34.0924 −2.32508
\(216\) −2.60117 4.49821i −0.176987 0.306065i
\(217\) 0.990083 + 9.25427i 0.0672112 + 0.628221i
\(218\) −5.83432 3.36845i −0.395150 0.228140i
\(219\) −11.3348 4.12257i −0.765932 0.278577i
\(220\) −5.48631 + 3.16752i −0.369887 + 0.213554i
\(221\) −2.96448 9.14032i −0.199413 0.614844i
\(222\) −3.15526 17.8704i −0.211767 1.19938i
\(223\) 3.82172 + 2.20647i 0.255921 + 0.147756i 0.622473 0.782642i \(-0.286128\pi\)
−0.366551 + 0.930398i \(0.619462\pi\)
\(224\) −2.13756 + 1.55912i −0.142822 + 0.104173i
\(225\) 37.0571 13.5069i 2.47047 0.900461i
\(226\) −8.54191 + 14.7950i −0.568200 + 0.984151i
\(227\) 9.82387 17.0154i 0.652033 1.12935i −0.330596 0.943773i \(-0.607250\pi\)
0.982629 0.185582i \(-0.0594171\pi\)
\(228\) −1.23735 7.00798i −0.0819457 0.464115i
\(229\) −11.0523 6.38106i −0.730358 0.421672i 0.0881953 0.996103i \(-0.471890\pi\)
−0.818553 + 0.574431i \(0.805223\pi\)
\(230\) 0.337456 + 0.584490i 0.0222512 + 0.0385401i
\(231\) −1.89211 6.54687i −0.124491 0.430752i
\(232\) 0.238841 0.413684i 0.0156807 0.0271597i
\(233\) −19.0288 10.9863i −1.24662 0.719734i −0.276183 0.961105i \(-0.589070\pi\)
−0.970433 + 0.241371i \(0.922403\pi\)
\(234\) −10.0287 4.05274i −0.655598 0.264936i
\(235\) −9.67586 16.7591i −0.631183 1.09324i
\(236\) −2.39384 4.14626i −0.155826 0.269898i
\(237\) −27.9915 + 4.94227i −1.81824 + 0.321035i
\(238\) −6.44683 2.85595i −0.417886 0.185124i
\(239\) 17.9466i 1.16087i 0.814306 + 0.580436i \(0.197118\pi\)
−0.814306 + 0.580436i \(0.802882\pi\)
\(240\) 4.74409 + 5.65115i 0.306230 + 0.364780i
\(241\) 14.2309 + 8.21623i 0.916695 + 0.529254i 0.882579 0.470164i \(-0.155805\pi\)
0.0341158 + 0.999418i \(0.489138\pi\)
\(242\) −7.61106 + 4.39425i −0.489258 + 0.282473i
\(243\) −5.34836 14.6422i −0.343097 0.939300i
\(244\) 2.28652 + 1.32012i 0.146380 + 0.0845123i
\(245\) 29.1448 6.30842i 1.86200 0.403030i
\(246\) 13.6370 11.4482i 0.869466 0.729909i
\(247\) −11.0036 9.91832i −0.700142 0.631088i
\(248\) 1.75887 + 3.04646i 0.111689 + 0.193450i
\(249\) −9.32135 11.1036i −0.590717 0.703661i
\(250\) −30.0573 + 17.3536i −1.90099 + 1.09754i
\(251\) −5.60540 9.70884i −0.353810 0.612816i 0.633104 0.774067i \(-0.281781\pi\)
−0.986913 + 0.161251i \(0.948447\pi\)
\(252\) −7.12586 + 3.49601i −0.448887 + 0.220228i
\(253\) −0.117802 0.204040i −0.00740617 0.0128279i
\(254\) 5.71380i 0.358516i
\(255\) −6.72129 + 18.4798i −0.420904 + 1.15725i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 1.23368 + 2.13679i 0.0769546 + 0.133289i 0.901935 0.431873i \(-0.142147\pi\)
−0.824980 + 0.565162i \(0.808814\pi\)
\(258\) −2.41016 13.6504i −0.150050 0.849837i
\(259\) −27.5625 + 2.94881i −1.71265 + 0.183230i
\(260\) 15.0222 + 3.20144i 0.931636 + 0.198545i
\(261\) 0.920640 1.09820i 0.0569862 0.0679768i
\(262\) 14.9891i 0.926028i
\(263\) 16.7209i 1.03106i 0.856872 + 0.515529i \(0.172405\pi\)
−0.856872 + 0.515529i \(0.827595\pi\)
\(264\) −1.65611 1.97276i −0.101927 0.121415i
\(265\) 15.9305i 0.978604i
\(266\) −10.8088 + 1.15639i −0.662728 + 0.0709030i
\(267\) 7.03939 19.3544i 0.430804 1.18447i
\(268\) −1.63445 + 2.83094i −0.0998396 + 0.172927i
\(269\) −1.31230 + 2.27296i −0.0800121 + 0.138585i −0.903255 0.429104i \(-0.858829\pi\)
0.823243 + 0.567689i \(0.192163\pi\)
\(270\) 11.0809 + 19.1622i 0.674362 + 1.16618i
\(271\) −7.72000 + 4.45715i −0.468957 + 0.270752i −0.715803 0.698302i \(-0.753939\pi\)
0.246846 + 0.969055i \(0.420606\pi\)
\(272\) −2.66507 −0.161593
\(273\) −7.21994 + 14.8618i −0.436971 + 0.899476i
\(274\) 10.6670 0.644416
\(275\) 16.9321 9.77575i 1.02104 0.589500i
\(276\) −0.210170 + 0.176436i −0.0126508 + 0.0106202i
\(277\) 14.6154 25.3147i 0.878156 1.52101i 0.0247930 0.999693i \(-0.492107\pi\)
0.853363 0.521318i \(-0.174559\pi\)
\(278\) 5.52716 9.57332i 0.331497 0.574169i
\(279\) 3.61397 + 9.91514i 0.216363 + 0.593604i
\(280\) 9.10593 6.64178i 0.544183 0.396922i
\(281\) 18.8564i 1.12488i 0.826839 + 0.562439i \(0.190137\pi\)
−0.826839 + 0.562439i \(0.809863\pi\)
\(282\) 6.02621 5.05895i 0.358856 0.301256i
\(283\) 0.349698i 0.0207874i 0.999946 + 0.0103937i \(0.00330847\pi\)
−0.999946 + 0.0103937i \(0.996692\pi\)
\(284\) 8.89425i 0.527777i
\(285\) 5.27108 + 29.8538i 0.312232 + 1.76838i
\(286\) −5.24409 1.11759i −0.310090 0.0660845i
\(287\) −16.0276 21.9739i −0.946077 1.29708i
\(288\) −1.92731 + 2.29902i −0.113568 + 0.135471i
\(289\) 4.94871 + 8.57141i 0.291100 + 0.504201i
\(290\) −1.01745 + 1.76228i −0.0597469 + 0.103485i
\(291\) 5.89801 + 2.14517i 0.345747 + 0.125752i
\(292\) 6.96353i 0.407510i
\(293\) −5.35220 9.27029i −0.312679 0.541576i 0.666262 0.745717i \(-0.267893\pi\)
−0.978941 + 0.204141i \(0.934560\pi\)
\(294\) 4.58626 + 11.2235i 0.267476 + 0.654566i
\(295\) 10.1977 + 17.6629i 0.593732 + 1.02837i
\(296\) −9.07342 + 5.23854i −0.527382 + 0.304484i
\(297\) −3.86823 6.68934i −0.224458 0.388155i
\(298\) 4.20231 + 7.27861i 0.243433 + 0.421639i
\(299\) −0.119064 + 0.558685i −0.00688563 + 0.0323096i
\(300\) −14.6414 17.4408i −0.845323 1.00695i
\(301\) −21.0537 + 2.25247i −1.21352 + 0.129830i
\(302\) −19.5317 11.2766i −1.12392 0.648897i
\(303\) −5.36672 6.39283i −0.308310 0.367259i
\(304\) −3.55819 + 2.05432i −0.204076 + 0.117823i
\(305\) −9.74051 5.62368i −0.557740 0.322011i
\(306\) −7.87437 1.38474i −0.450148 0.0791603i
\(307\) 4.04677i 0.230961i −0.993310 0.115481i \(-0.963159\pi\)
0.993310 0.115481i \(-0.0368408\pi\)
\(308\) −3.17879 + 2.31858i −0.181128 + 0.132113i
\(309\) 0.748813 + 4.24104i 0.0425985 + 0.241264i
\(310\) −7.49274 12.9778i −0.425559 0.737090i
\(311\) −8.19728 14.1981i −0.464825 0.805101i 0.534369 0.845252i \(-0.320549\pi\)
−0.999194 + 0.0401509i \(0.987216\pi\)
\(312\) −0.219845 + 6.24113i −0.0124463 + 0.353334i
\(313\) 17.1202 + 9.88433i 0.967689 + 0.558696i 0.898531 0.438910i \(-0.144635\pi\)
0.0691582 + 0.997606i \(0.477969\pi\)
\(314\) −8.13386 + 14.0883i −0.459020 + 0.795047i
\(315\) 30.3559 14.8929i 1.71036 0.839118i
\(316\) 8.20543 + 14.2122i 0.461591 + 0.799500i
\(317\) −6.98551 4.03309i −0.392345 0.226521i 0.290830 0.956775i \(-0.406068\pi\)
−0.683176 + 0.730254i \(0.739402\pi\)
\(318\) −6.37850 + 1.12621i −0.357688 + 0.0631547i
\(319\) 0.355183 0.615195i 0.0198864 0.0344443i
\(320\) 2.12998 3.68924i 0.119070 0.206235i
\(321\) 14.9723 + 5.44557i 0.835670 + 0.303942i
\(322\) 0.247012 + 0.338656i 0.0137655 + 0.0188726i
\(323\) −9.48281 5.47490i −0.527638 0.304632i
\(324\) −6.88909 + 5.79141i −0.382727 + 0.321745i
\(325\) −46.3621 9.88042i −2.57171 0.548067i
\(326\) 6.04529 3.49025i 0.334818 0.193307i
\(327\) −3.98840 + 10.9659i −0.220559 + 0.606413i
\(328\) −8.90266 5.13995i −0.491567 0.283806i
\(329\) −7.08258 9.71028i −0.390475 0.535345i
\(330\) 7.05499 + 8.40389i 0.388364 + 0.462619i
\(331\) 18.4185 1.01238 0.506188 0.862423i \(-0.331054\pi\)
0.506188 + 0.862423i \(0.331054\pi\)
\(332\) −4.18506 + 7.24874i −0.229685 + 0.397826i
\(333\) −29.5308 + 10.7637i −1.61828 + 0.589845i
\(334\) 8.24107i 0.450931i
\(335\) 6.96268 12.0597i 0.380412 0.658893i
\(336\) 3.30308 + 3.17643i 0.180198 + 0.173288i
\(337\) −16.8561 −0.918208 −0.459104 0.888383i \(-0.651829\pi\)
−0.459104 + 0.888383i \(0.651829\pi\)
\(338\) 7.62999 + 10.5254i 0.415016 + 0.572504i
\(339\) 27.8079 + 10.1140i 1.51032 + 0.549318i
\(340\) 11.3531 0.615708
\(341\) 2.61564 + 4.53042i 0.141645 + 0.245336i
\(342\) −11.5806 + 4.22103i −0.626210 + 0.228247i
\(343\) 17.5816 5.82135i 0.949316 0.314323i
\(344\) −6.93077 + 4.00148i −0.373682 + 0.215746i
\(345\) 0.895319 0.751611i 0.0482023 0.0404654i
\(346\) −13.6540 + 7.88311i −0.734041 + 0.423799i
\(347\) 13.5754 + 7.83777i 0.728766 + 0.420754i 0.817971 0.575260i \(-0.195099\pi\)
−0.0892043 + 0.996013i \(0.528432\pi\)
\(348\) −0.777537 0.282798i −0.0416804 0.0151596i
\(349\) −16.3312 9.42880i −0.874187 0.504712i −0.00544978 0.999985i \(-0.501735\pi\)
−0.868737 + 0.495273i \(0.835068\pi\)
\(350\) −28.1031 + 20.4982i −1.50218 + 1.09567i
\(351\) −3.89239 + 18.3262i −0.207760 + 0.978180i
\(352\) −0.743556 + 1.28788i −0.0396317 + 0.0686441i
\(353\) 18.4076 0.979737 0.489868 0.871796i \(-0.337045\pi\)
0.489868 + 0.871796i \(0.337045\pi\)
\(354\) −6.35121 + 5.33178i −0.337563 + 0.283381i
\(355\) 37.8892i 2.01095i
\(356\) −11.8904 −0.630190
\(357\) −2.92978 + 11.8562i −0.155060 + 0.627499i
\(358\) −3.76206 6.51608i −0.198831 0.344385i
\(359\) 29.2230 + 16.8719i 1.54233 + 0.890465i 0.998691 + 0.0511459i \(0.0162873\pi\)
0.543639 + 0.839319i \(0.317046\pi\)
\(360\) 8.21027 9.79373i 0.432719 0.516175i
\(361\) 2.11905 0.111529
\(362\) −1.65341 2.86379i −0.0869014 0.150518i
\(363\) 9.78727 + 11.6586i 0.513698 + 0.611917i
\(364\) 9.48845 + 0.984537i 0.497330 + 0.0516038i
\(365\) 29.6644i 1.55271i
\(366\) 1.56309 4.29762i 0.0817039 0.224640i
\(367\) 34.0455i 1.77716i 0.458723 + 0.888579i \(0.348307\pi\)
−0.458723 + 0.888579i \(0.651693\pi\)
\(368\) 0.137205 + 0.0792156i 0.00715233 + 0.00412940i
\(369\) −23.6337 19.8126i −1.23032 1.03140i
\(370\) 38.6524 22.3160i 2.00945 1.16015i
\(371\) 1.05252 + 9.83788i 0.0546442 + 0.510757i
\(372\) 4.66655 3.91752i 0.241949 0.203114i
\(373\) 30.8502 1.59736 0.798682 0.601753i \(-0.205531\pi\)
0.798682 + 0.601753i \(0.205531\pi\)
\(374\) −3.96325 −0.204935
\(375\) 38.6515 + 46.0416i 1.99596 + 2.37758i
\(376\) −3.93409 2.27135i −0.202885 0.117136i
\(377\) −1.63829 + 0.531348i −0.0843764 + 0.0273658i
\(378\) 8.10904 + 11.1015i 0.417084 + 0.571000i
\(379\) 3.11757 5.39979i 0.160139 0.277368i −0.774780 0.632231i \(-0.782139\pi\)
0.934918 + 0.354863i \(0.115473\pi\)
\(380\) 15.1578 8.75134i 0.777577 0.448934i
\(381\) 9.74585 1.72076i 0.499295 0.0881573i
\(382\) −12.9960 22.5097i −0.664934 1.15170i
\(383\) 5.45285 0.278628 0.139314 0.990248i \(-0.455510\pi\)
0.139314 + 0.990248i \(0.455510\pi\)
\(384\) 1.62773 + 0.592023i 0.0830648 + 0.0302115i
\(385\) 13.5415 9.87706i 0.690140 0.503382i
\(386\) −10.4575 + 6.03765i −0.532274 + 0.307309i
\(387\) −22.5572 + 8.22188i −1.14665 + 0.417942i
\(388\) 3.62345i 0.183953i
\(389\) 33.4019 19.2846i 1.69354 0.977768i 0.741929 0.670479i \(-0.233911\pi\)
0.951616 0.307290i \(-0.0994221\pi\)
\(390\) 0.936530 26.5870i 0.0474231 1.34628i
\(391\) 0.422230i 0.0213531i
\(392\) 5.18454 4.70325i 0.261859 0.237550i
\(393\) −25.5664 + 4.51409i −1.28965 + 0.227706i
\(394\) 2.33909 0.117842
\(395\) −34.9548 60.5436i −1.75877 3.04628i
\(396\) −2.86612 + 3.41890i −0.144028 + 0.171806i
\(397\) 26.9335i 1.35175i −0.737015 0.675876i \(-0.763765\pi\)
0.737015 0.675876i \(-0.236235\pi\)
\(398\) 10.6892 0.535801
\(399\) 5.22758 + 18.0879i 0.261706 + 0.905528i
\(400\) −6.57365 + 11.3859i −0.328682 + 0.569295i
\(401\) 8.02151 4.63122i 0.400575 0.231272i −0.286157 0.958183i \(-0.592378\pi\)
0.686732 + 0.726911i \(0.259045\pi\)
\(402\) 5.32087 + 1.93526i 0.265381 + 0.0965219i
\(403\) 2.64365 12.4048i 0.131689 0.617929i
\(404\) −2.40953 + 4.17343i −0.119879 + 0.207636i
\(405\) 29.3473 24.6712i 1.45828 1.22592i
\(406\) −0.511895 + 1.15552i −0.0254049 + 0.0573474i
\(407\) −13.4932 + 7.79030i −0.668833 + 0.386151i
\(408\) 0.802608 + 4.54572i 0.0397350 + 0.225047i
\(409\) −13.2090 7.62621i −0.653142 0.377092i 0.136517 0.990638i \(-0.456409\pi\)
−0.789659 + 0.613546i \(0.789743\pi\)
\(410\) 37.9250 + 21.8960i 1.87298 + 1.08137i
\(411\) −3.21245 18.1943i −0.158459 0.897460i
\(412\) 2.15332 1.24322i 0.106086 0.0612490i
\(413\) 7.46456 + 10.2340i 0.367307 + 0.503580i
\(414\) 0.364236 + 0.305346i 0.0179012 + 0.0150069i
\(415\) 17.8282 30.8794i 0.875153 1.51581i
\(416\) 3.42968 1.11235i 0.168154 0.0545373i
\(417\) −17.9935 6.54441i −0.881143 0.320481i
\(418\) −5.29142 + 3.05501i −0.258812 + 0.149425i
\(419\) 10.7855 18.6811i 0.526908 0.912631i −0.472600 0.881277i \(-0.656685\pi\)
0.999508 0.0313545i \(-0.00998208\pi\)
\(420\) −14.0710 13.5315i −0.686594 0.660268i
\(421\) −25.8262 −1.25869 −0.629345 0.777126i \(-0.716677\pi\)
−0.629345 + 0.777126i \(0.716677\pi\)
\(422\) 4.45160i 0.216700i
\(423\) −10.4437 8.75517i −0.507792 0.425691i
\(424\) 1.86979 + 3.23858i 0.0908053 + 0.157279i
\(425\) −35.0384 −1.69961
\(426\) −15.1706 + 2.67858i −0.735020 + 0.129778i
\(427\) −6.38680 2.82935i −0.309079 0.136922i
\(428\) 9.19824i 0.444614i
\(429\) −0.326933 + 9.28125i −0.0157845 + 0.448103i
\(430\) 29.5249 17.0462i 1.42381 0.822040i
\(431\) 10.8349i 0.521900i −0.965352 0.260950i \(-0.915964\pi\)
0.965352 0.260950i \(-0.0840358\pi\)
\(432\) 4.50179 + 2.59498i 0.216592 + 0.124851i
\(433\) 15.5101 8.95476i 0.745368 0.430338i −0.0786500 0.996902i \(-0.525061\pi\)
0.824018 + 0.566564i \(0.191728\pi\)
\(434\) −5.48457 7.51939i −0.263268 0.360942i
\(435\) 3.31228 + 1.20471i 0.158812 + 0.0577615i
\(436\) 6.73690 0.322639
\(437\) 0.325469 + 0.563728i 0.0155693 + 0.0269668i
\(438\) 11.8775 2.09713i 0.567527 0.100205i
\(439\) 6.18229 3.56935i 0.295065 0.170356i −0.345159 0.938544i \(-0.612175\pi\)
0.640224 + 0.768189i \(0.278842\pi\)
\(440\) 3.16752 5.48631i 0.151006 0.261550i
\(441\) 17.7623 11.2027i 0.845825 0.533461i
\(442\) 7.13748 + 6.43351i 0.339495 + 0.306011i
\(443\) 15.1527 + 8.74841i 0.719926 + 0.415650i 0.814726 0.579847i \(-0.196888\pi\)
−0.0947992 + 0.995496i \(0.530221\pi\)
\(444\) 11.6678 + 13.8986i 0.553727 + 0.659599i
\(445\) 50.6527 2.40117
\(446\) −4.41294 −0.208959
\(447\) 11.1493 9.35976i 0.527345 0.442701i
\(448\) 1.07162 2.41901i 0.0506294 0.114288i
\(449\) −3.24523 + 1.87364i −0.153152 + 0.0884224i −0.574618 0.818422i \(-0.694849\pi\)
0.421466 + 0.906844i \(0.361516\pi\)
\(450\) −25.3389 + 30.2259i −1.19449 + 1.42486i
\(451\) −13.2393 7.64369i −0.623412 0.359927i
\(452\) 17.0838i 0.803556i
\(453\) −13.3520 + 36.7106i −0.627334 + 1.72482i
\(454\) 19.6477i 0.922114i
\(455\) −40.4205 4.19409i −1.89494 0.196622i
\(456\) 4.57557 + 5.45041i 0.214271 + 0.255239i
\(457\) −6.27651 10.8712i −0.293603 0.508535i 0.681056 0.732231i \(-0.261521\pi\)
−0.974659 + 0.223696i \(0.928188\pi\)
\(458\) 12.7621 0.596335
\(459\) 0.00952763 + 13.8481i 0.000444712 + 0.646374i
\(460\) −0.584490 0.337456i −0.0272520 0.0157339i
\(461\) 3.57386 + 6.19010i 0.166451 + 0.288302i 0.937170 0.348874i \(-0.113436\pi\)
−0.770719 + 0.637176i \(0.780103\pi\)
\(462\) 4.91205 + 4.72370i 0.228529 + 0.219766i
\(463\) −6.57780 −0.305696 −0.152848 0.988250i \(-0.548845\pi\)
−0.152848 + 0.988250i \(0.548845\pi\)
\(464\) 0.477682i 0.0221758i
\(465\) −19.8793 + 16.6885i −0.921881 + 0.773911i
\(466\) 21.9725 1.01786
\(467\) 10.6728 18.4857i 0.493876 0.855418i −0.506099 0.862475i \(-0.668913\pi\)
0.999975 + 0.00705702i \(0.00224634\pi\)
\(468\) 10.7115 1.50459i 0.495139 0.0695496i
\(469\) 3.50302 7.90749i 0.161754 0.365134i
\(470\) 16.7591 + 9.67586i 0.773038 + 0.446314i
\(471\) 26.4795 + 9.63087i 1.22011 + 0.443767i
\(472\) 4.14626 + 2.39384i 0.190847 + 0.110186i
\(473\) −10.3068 + 5.95065i −0.473909 + 0.273611i
\(474\) 21.7702 18.2759i 0.999938 0.839439i
\(475\) −46.7806 + 27.0088i −2.14644 + 1.23925i
\(476\) 7.01109 0.750093i 0.321353 0.0343805i
\(477\) 3.84188 + 10.5404i 0.175908 + 0.482613i
\(478\) −8.97332 15.5422i −0.410430 0.710886i
\(479\) −25.0454 −1.14435 −0.572177 0.820130i \(-0.693901\pi\)
−0.572177 + 0.820130i \(0.693901\pi\)
\(480\) −6.93408 2.52200i −0.316496 0.115113i
\(481\) 36.9460 + 7.87371i 1.68459 + 0.359010i
\(482\) −16.4325 −0.748478
\(483\) 0.503245 0.523310i 0.0228984 0.0238114i
\(484\) 4.39425 7.61106i 0.199739 0.345957i
\(485\) 15.4358i 0.700903i
\(486\) 11.9529 + 10.0064i 0.542196 + 0.453898i
\(487\) −17.5926 + 30.4712i −0.797195 + 1.38078i 0.124241 + 0.992252i \(0.460350\pi\)
−0.921436 + 0.388530i \(0.872983\pi\)
\(488\) −2.64025 −0.119518
\(489\) −7.77380 9.26014i −0.351543 0.418758i
\(490\) −22.0860 + 20.0357i −0.997742 + 0.905119i
\(491\) −27.3749 15.8049i −1.23541 0.713265i −0.267258 0.963625i \(-0.586118\pi\)
−0.968153 + 0.250360i \(0.919451\pi\)
\(492\) −6.08594 + 16.7329i −0.274375 + 0.754379i
\(493\) −1.10250 + 0.636527i −0.0496539 + 0.0286677i
\(494\) 14.4886 + 3.08772i 0.651871 + 0.138923i
\(495\) 12.2096 14.5644i 0.548780 0.654620i
\(496\) −3.04646 1.75887i −0.136790 0.0789757i
\(497\) 2.50332 + 23.3985i 0.112289 + 1.04956i
\(498\) 13.6243 + 4.95531i 0.610520 + 0.222053i
\(499\) −8.10265 + 14.0342i −0.362725 + 0.628257i −0.988408 0.151819i \(-0.951487\pi\)
0.625684 + 0.780077i \(0.284820\pi\)
\(500\) 17.3536 30.0573i 0.776077 1.34420i
\(501\) −14.0565 + 2.48187i −0.627999 + 0.110882i
\(502\) 9.70884 + 5.60540i 0.433327 + 0.250181i
\(503\) 16.5718 + 28.7032i 0.738900 + 1.27981i 0.952991 + 0.302999i \(0.0979879\pi\)
−0.214091 + 0.976814i \(0.568679\pi\)
\(504\) 4.42318 6.59056i 0.197024 0.293567i
\(505\) 10.2645 17.7787i 0.456765 0.791140i
\(506\) 0.204040 + 0.117802i 0.00907067 + 0.00523696i
\(507\) 15.6549 16.1840i 0.695260 0.718758i
\(508\) −2.85690 4.94830i −0.126755 0.219545i
\(509\) 5.26636 + 9.12160i 0.233427 + 0.404308i 0.958814 0.284033i \(-0.0916726\pi\)
−0.725387 + 0.688341i \(0.758339\pi\)
\(510\) −3.41908 19.3646i −0.151399 0.857479i
\(511\) −1.95991 18.3192i −0.0867014 0.810395i
\(512\) 1.00000i 0.0441942i
\(513\) 10.6873 + 18.4815i 0.471855 + 0.815980i
\(514\) −2.13679 1.23368i −0.0942498 0.0544151i
\(515\) −9.17307 + 5.29607i −0.404214 + 0.233373i
\(516\) 8.91247 + 10.6165i 0.392349 + 0.467366i
\(517\) −5.85043 3.37775i −0.257302 0.148553i
\(518\) 22.3954 16.3350i 0.983997 0.717718i
\(519\) 17.5580 + 20.9150i 0.770710 + 0.918068i
\(520\) −14.6103 + 4.73856i −0.640704 + 0.207800i
\(521\) 9.84785 + 17.0570i 0.431442 + 0.747279i 0.996998 0.0774306i \(-0.0246716\pi\)
−0.565556 + 0.824710i \(0.691338\pi\)
\(522\) −0.248198 + 1.41139i −0.0108633 + 0.0617748i
\(523\) 2.85947 1.65092i 0.125036 0.0721896i −0.436177 0.899861i \(-0.643668\pi\)
0.561213 + 0.827671i \(0.310335\pi\)
\(524\) 7.49454 + 12.9809i 0.327400 + 0.567074i
\(525\) 43.4265 + 41.7614i 1.89529 + 1.82262i
\(526\) −8.36047 14.4808i −0.364534 0.631391i
\(527\) 9.37503i 0.408383i
\(528\) 2.42062 + 0.880404i 0.105344 + 0.0383147i
\(529\) −11.4874 + 19.8968i −0.499454 + 0.865080i
\(530\) −7.96526 13.7962i −0.345989 0.599270i
\(531\) 11.0070 + 9.22735i 0.477662 + 0.400433i
\(532\) 8.78247 6.40585i 0.380768 0.277729i
\(533\) 11.4348 + 35.2568i 0.495297 + 1.52714i
\(534\) 3.58090 + 20.2811i 0.154961 + 0.877648i
\(535\) 39.1842i 1.69408i
\(536\) 3.26889i 0.141195i
\(537\) −9.98129 + 8.37920i −0.430724 + 0.361589i
\(538\) 2.62459i 0.113154i
\(539\) 7.70999 6.99426i 0.332093 0.301264i
\(540\) −19.1775 11.0545i −0.825266 0.475711i
\(541\) 14.3963 24.9351i 0.618944 1.07204i −0.370735 0.928739i \(-0.620894\pi\)
0.989679 0.143304i \(-0.0457726\pi\)
\(542\) 4.45715 7.72000i 0.191451 0.331603i
\(543\) −4.38674 + 3.68263i −0.188253 + 0.158037i
\(544\) 2.30802 1.33253i 0.0989554 0.0571319i
\(545\) −28.6989 −1.22933
\(546\) −1.17824 16.4806i −0.0504238 0.705307i
\(547\) 19.4820 0.832989 0.416495 0.909138i \(-0.363258\pi\)
0.416495 + 0.909138i \(0.363258\pi\)
\(548\) −9.23788 + 5.33349i −0.394622 + 0.227835i
\(549\) −7.80104 1.37185i −0.332940 0.0585489i
\(550\) −9.77575 + 16.9321i −0.416839 + 0.721987i
\(551\) −0.981311 + 1.69968i −0.0418053 + 0.0724089i
\(552\) 0.0937949 0.257883i 0.00399218 0.0109762i
\(553\) −25.5864 35.0792i −1.08805 1.49172i
\(554\) 29.2308i 1.24190i
\(555\) −49.7042 59.2076i −2.10983 2.51322i
\(556\) 11.0543i 0.468807i
\(557\) 37.9692i 1.60881i −0.594083 0.804403i \(-0.702485\pi\)
0.594083 0.804403i \(-0.297515\pi\)
\(558\) −8.08736 6.77978i −0.342365 0.287011i
\(559\) 28.2214 + 6.01437i 1.19364 + 0.254381i
\(560\) −4.56508 + 10.3049i −0.192910 + 0.435462i
\(561\) 1.19357 + 6.75999i 0.0503925 + 0.285407i
\(562\) −9.42820 16.3301i −0.397705 0.688845i
\(563\) −5.46168 + 9.45991i −0.230183 + 0.398688i −0.957862 0.287230i \(-0.907266\pi\)
0.727679 + 0.685918i \(0.240599\pi\)
\(564\) −2.68938 + 7.39428i −0.113243 + 0.311355i
\(565\) 72.7765i 3.06173i
\(566\) −0.174849 0.302847i −0.00734944 0.0127296i
\(567\) 16.4934 17.1746i 0.692657 0.721267i
\(568\) 4.44713 + 7.70265i 0.186597 + 0.323196i
\(569\) 9.14518 5.27997i 0.383386 0.221348i −0.295905 0.955218i \(-0.595621\pi\)
0.679290 + 0.733870i \(0.262288\pi\)
\(570\) −19.4918 23.2186i −0.816420 0.972519i
\(571\) 8.25387 + 14.2961i 0.345414 + 0.598274i 0.985429 0.170088i \(-0.0544053\pi\)
−0.640015 + 0.768362i \(0.721072\pi\)
\(572\) 5.10031 1.65419i 0.213255 0.0691650i
\(573\) −34.4803 + 28.9459i −1.44043 + 1.20923i
\(574\) 24.8672 + 11.0162i 1.03794 + 0.459807i
\(575\) 1.80388 + 1.04147i 0.0752270 + 0.0434323i
\(576\) 0.519589 2.95466i 0.0216496 0.123111i
\(577\) 5.28817 3.05312i 0.220149 0.127103i −0.385870 0.922553i \(-0.626099\pi\)
0.606019 + 0.795450i \(0.292765\pi\)
\(578\) −8.57141 4.94871i −0.356524 0.205839i
\(579\) 13.4476 + 16.0188i 0.558864 + 0.665718i
\(580\) 2.03491i 0.0844949i
\(581\) 8.96962 20.2474i 0.372123 0.840006i
\(582\) −6.18041 + 1.09123i −0.256186 + 0.0452331i
\(583\) 2.78059 + 4.81613i 0.115160 + 0.199464i
\(584\) −3.48176 6.03059i −0.144076 0.249548i
\(585\) −45.6306 + 6.40949i −1.88659 + 0.265000i
\(586\) 9.27029 + 5.35220i 0.382952 + 0.221098i
\(587\) 1.08728 1.88323i 0.0448769 0.0777291i −0.842714 0.538361i \(-0.819044\pi\)
0.887591 + 0.460632i \(0.152377\pi\)
\(588\) −9.58355 7.42668i −0.395219 0.306271i
\(589\) −7.22658 12.5168i −0.297766 0.515746i
\(590\) −17.6629 10.1977i −0.727171 0.419832i
\(591\) −0.704439 3.98972i −0.0289767 0.164115i
\(592\) 5.23854 9.07342i 0.215303 0.372915i
\(593\) 0.707096 1.22473i 0.0290370 0.0502935i −0.851142 0.524936i \(-0.824089\pi\)
0.880179 + 0.474642i \(0.157423\pi\)
\(594\) 6.69466 + 3.85902i 0.274685 + 0.158338i
\(595\) −29.8670 + 3.19537i −1.22443 + 0.130997i
\(596\) −7.27861 4.20231i −0.298144 0.172133i
\(597\) −3.21914 18.2322i −0.131751 0.746195i
\(598\) −0.176231 0.543368i −0.00720660 0.0222200i
\(599\) 13.9159 8.03436i 0.568589 0.328275i −0.187996 0.982170i \(-0.560199\pi\)
0.756586 + 0.653894i \(0.226866\pi\)
\(600\) 21.4003 + 7.78350i 0.873662 + 0.317760i
\(601\) −26.6115 15.3641i −1.08550 0.626716i −0.153128 0.988206i \(-0.548935\pi\)
−0.932376 + 0.361490i \(0.882268\pi\)
\(602\) 17.1068 12.4776i 0.697222 0.508547i
\(603\) 1.69848 9.65847i 0.0691675 0.393323i
\(604\) 22.5533 0.917679
\(605\) −18.7193 + 32.4229i −0.761050 + 1.31818i
\(606\) 7.84414 + 2.85299i 0.318646 + 0.115895i
\(607\) 32.4993i 1.31910i −0.751659 0.659552i \(-0.770746\pi\)
0.751659 0.659552i \(-0.229254\pi\)
\(608\) 2.05432 3.55819i 0.0833137 0.144304i
\(609\) 2.12509 + 0.525128i 0.0861130 + 0.0212793i
\(610\) 11.2474 0.455393
\(611\) 5.05305 + 15.5800i 0.204425 + 0.630298i
\(612\) 7.51178 2.73797i 0.303646 0.110676i
\(613\) −8.70697 −0.351671 −0.175836 0.984420i \(-0.556263\pi\)
−0.175836 + 0.984420i \(0.556263\pi\)
\(614\) 2.02339 + 3.50461i 0.0816572 + 0.141434i
\(615\) 25.9259 71.2817i 1.04543 2.87435i
\(616\) 1.59362 3.59734i 0.0642089 0.144941i
\(617\) 29.1565 16.8335i 1.17380 0.677691i 0.219225 0.975674i \(-0.429647\pi\)
0.954571 + 0.297983i \(0.0963139\pi\)
\(618\) −2.76901 3.29844i −0.111386 0.132683i
\(619\) −15.4503 + 8.92024i −0.621001 + 0.358535i −0.777259 0.629181i \(-0.783390\pi\)
0.156258 + 0.987716i \(0.450057\pi\)
\(620\) 12.9778 + 7.49274i 0.521201 + 0.300916i
\(621\) 0.411126 0.713223i 0.0164979 0.0286207i
\(622\) 14.1981 + 8.19728i 0.569292 + 0.328681i
\(623\) 31.2805 3.34660i 1.25323 0.134079i
\(624\) −2.93017 5.51490i −0.117301 0.220773i
\(625\) −41.0575 + 71.1137i −1.64230 + 2.84455i
\(626\) −19.7687 −0.790115
\(627\) 6.80438 + 8.10537i 0.271741 + 0.323697i
\(628\) 16.2677i 0.649153i
\(629\) 27.9221 1.11333
\(630\) −18.8426 + 28.0756i −0.750706 + 1.11856i
\(631\) −16.4881 28.5582i −0.656380 1.13688i −0.981546 0.191227i \(-0.938753\pi\)
0.325166 0.945657i \(-0.394580\pi\)
\(632\) −14.2122 8.20543i −0.565332 0.326394i
\(633\) 7.59295 1.34064i 0.301793 0.0532856i
\(634\) 8.06617 0.320349
\(635\) 12.1703 + 21.0796i 0.482964 + 0.836518i
\(636\) 4.96084 4.16457i 0.196710 0.165136i
\(637\) −25.2387 + 0.0805006i −0.999995 + 0.00318955i
\(638\) 0.710366i 0.0281237i
\(639\) 9.13754 + 25.0694i 0.361476 + 0.991730i
\(640\) 4.25996i 0.168390i
\(641\) 14.0185 + 8.09360i 0.553698 + 0.319678i 0.750612 0.660743i \(-0.229759\pi\)
−0.196914 + 0.980421i \(0.563092\pi\)
\(642\) −15.6891 + 2.77013i −0.619201 + 0.109328i
\(643\) −31.2120 + 18.0203i −1.23088 + 0.710650i −0.967214 0.253963i \(-0.918266\pi\)
−0.263668 + 0.964613i \(0.584932\pi\)
\(644\) −0.383247 0.169778i −0.0151020 0.00669021i
\(645\) −37.9668 45.2260i −1.49494 1.78077i
\(646\) 10.9498 0.430814
\(647\) 11.1609 0.438782 0.219391 0.975637i \(-0.429593\pi\)
0.219391 + 0.975637i \(0.429593\pi\)
\(648\) 3.07042 8.46005i 0.120618 0.332342i
\(649\) 6.16595 + 3.55991i 0.242035 + 0.139739i
\(650\) 45.0910 14.6244i 1.76861 0.573615i
\(651\) −11.1739 + 11.6194i −0.437938 + 0.455400i
\(652\) −3.49025 + 6.04529i −0.136689 + 0.236752i
\(653\) −25.9762 + 14.9973i −1.01653 + 0.586892i −0.913096 0.407745i \(-0.866315\pi\)
−0.103430 + 0.994637i \(0.532982\pi\)
\(654\) −2.02887 11.4909i −0.0793353 0.449330i
\(655\) −31.9265 55.2982i −1.24747 2.16068i
\(656\) 10.2799 0.401363
\(657\) −7.15401 19.6275i −0.279104 0.765740i
\(658\) 10.9888 + 4.86805i 0.428389 + 0.189777i
\(659\) −10.5441 + 6.08763i −0.410739 + 0.237141i −0.691107 0.722752i \(-0.742877\pi\)
0.280368 + 0.959893i \(0.409544\pi\)
\(660\) −10.3117 3.75049i −0.401384 0.145988i
\(661\) 26.1449i 1.01692i 0.861086 + 0.508460i \(0.169785\pi\)
−0.861086 + 0.508460i \(0.830215\pi\)
\(662\) −15.9509 + 9.20927i −0.619951 + 0.357929i
\(663\) 8.82392 14.1117i 0.342693 0.548052i
\(664\) 8.37013i 0.324824i
\(665\) −37.4130 + 27.2887i −1.45081 + 1.05821i
\(666\) 20.1926 24.0870i 0.782446 0.933352i
\(667\) 0.0756796 0.00293033
\(668\) 4.12054 + 7.13698i 0.159428 + 0.276138i
\(669\) 1.32900 + 7.52701i 0.0513819 + 0.291011i
\(670\) 13.9254i 0.537984i
\(671\) −3.92635 −0.151575
\(672\) −4.44876 1.09933i −0.171615 0.0424074i
\(673\) −10.0870 + 17.4712i −0.388825 + 0.673464i −0.992292 0.123924i \(-0.960452\pi\)
0.603467 + 0.797388i \(0.293785\pi\)
\(674\) 14.5978 8.42803i 0.562285 0.324636i
\(675\) 59.1863 + 34.1170i 2.27808 + 1.31316i
\(676\) −11.8704 5.30024i −0.456556 0.203855i
\(677\) −0.365307 + 0.632731i −0.0140399 + 0.0243178i −0.872960 0.487792i \(-0.837803\pi\)
0.858920 + 0.512110i \(0.171136\pi\)
\(678\) −29.1393 + 5.14494i −1.11909 + 0.197590i
\(679\) 1.01983 + 9.53236i 0.0391377 + 0.365818i
\(680\) −9.83207 + 5.67655i −0.377043 + 0.217686i
\(681\) 33.5125 5.91709i 1.28420 0.226743i
\(682\) −4.53042 2.61564i −0.173479 0.100158i
\(683\) −7.13126 4.11724i −0.272870 0.157542i 0.357321 0.933982i \(-0.383690\pi\)
−0.630191 + 0.776440i \(0.717024\pi\)
\(684\) 7.91862 9.44584i 0.302776 0.361171i
\(685\) 39.3530 22.7205i 1.50360 0.868105i
\(686\) −12.3154 + 13.8322i −0.470205 + 0.528117i
\(687\) −3.84342 21.7679i −0.146636 0.830498i
\(688\) 4.00148 6.93077i 0.152555 0.264233i
\(689\) 2.81037 13.1871i 0.107066 0.502390i
\(690\) −0.399563 + 1.09857i −0.0152111 + 0.0418220i
\(691\) 25.9028 14.9550i 0.985388 0.568914i 0.0814953 0.996674i \(-0.474030\pi\)
0.903892 + 0.427760i \(0.140697\pi\)
\(692\) 7.88311 13.6540i 0.299671 0.519045i
\(693\) 6.57776 9.80090i 0.249868 0.372305i
\(694\) −15.6755 −0.595035
\(695\) 47.0910i 1.78626i
\(696\) 0.814766 0.143858i 0.0308836 0.00545292i
\(697\) 13.6983 + 23.7262i 0.518861 + 0.898694i
\(698\) 18.8576 0.713771
\(699\) −6.61722 37.4778i −0.250286 1.41754i
\(700\) 14.0889 31.8035i 0.532512 1.20206i
\(701\) 11.4510i 0.432498i −0.976338 0.216249i \(-0.930618\pi\)
0.976338 0.216249i \(-0.0693824\pi\)
\(702\) −5.79219 17.8171i −0.218612 0.672465i
\(703\) 37.2794 21.5233i 1.40602 0.811767i
\(704\) 1.48711i 0.0560476i
\(705\) 11.4567 31.4994i 0.431483 1.18634i
\(706\) −15.9414 + 9.20379i −0.599964 + 0.346389i
\(707\) 5.16422 11.6574i 0.194220 0.438421i
\(708\) 2.83442 7.79307i 0.106524 0.292881i
\(709\) 17.0315 0.639632 0.319816 0.947480i \(-0.396379\pi\)
0.319816 + 0.947480i \(0.396379\pi\)
\(710\) −18.9446 32.8130i −0.710978 1.23145i
\(711\) −37.7289 31.6288i −1.41494 1.18617i
\(712\) 10.2974 5.94520i 0.385911 0.222806i
\(713\) −0.278660 + 0.482654i −0.0104359 + 0.0180755i
\(714\) −3.39086 11.7327i −0.126900 0.439085i
\(715\) −21.7272 + 7.04677i −0.812549 + 0.263534i
\(716\) 6.51608 + 3.76206i 0.243517 + 0.140595i
\(717\) −23.8075 + 19.9862i −0.889108 + 0.746398i
\(718\) −33.7438 −1.25931
\(719\) −16.9630 −0.632613 −0.316306 0.948657i \(-0.602443\pi\)
−0.316306 + 0.948657i \(0.602443\pi\)
\(720\) −2.21343 + 12.5868i −0.0824898 + 0.469081i
\(721\) −5.31491 + 3.87665i −0.197938 + 0.144374i
\(722\) −1.83515 + 1.05953i −0.0682973 + 0.0394315i
\(723\) 4.94878 + 28.0283i 0.184047 + 1.04238i
\(724\) 2.86379 + 1.65341i 0.106432 + 0.0614485i
\(725\) 6.28022i 0.233242i
\(726\) −14.3053 5.20299i −0.530920 0.193101i
\(727\) 35.4828i 1.31598i −0.753025 0.657992i \(-0.771406\pi\)
0.753025 0.657992i \(-0.228594\pi\)
\(728\) −8.70951 + 3.89159i −0.322796 + 0.144232i
\(729\) 13.4678 23.4012i 0.498808 0.866713i
\(730\) 14.8322 + 25.6901i 0.548964 + 0.950834i
\(731\) 21.3285 0.788861
\(732\) 0.795134 + 4.50339i 0.0293890 + 0.166450i
\(733\) 7.97236 + 4.60284i 0.294466 + 0.170010i 0.639954 0.768413i \(-0.278953\pi\)
−0.345488 + 0.938423i \(0.612287\pi\)
\(734\) −17.0227 29.4842i −0.628320 1.08828i
\(735\) 40.8256 + 31.6374i 1.50587 + 1.16696i
\(736\) −0.158431 −0.00583985
\(737\) 4.86121i 0.179065i
\(738\) 30.3737 + 5.34133i 1.11807 + 0.196617i
\(739\) −35.7615 −1.31551 −0.657754 0.753232i \(-0.728494\pi\)
−0.657754 + 0.753232i \(0.728494\pi\)
\(740\) −22.3160 + 38.6524i −0.820353 + 1.42089i
\(741\) 0.903263 25.6426i 0.0331822 0.942003i
\(742\) −5.83045 7.99359i −0.214043 0.293454i
\(743\) 3.57295 + 2.06284i 0.131079 + 0.0756783i 0.564106 0.825703i \(-0.309221\pi\)
−0.433027 + 0.901381i \(0.642554\pi\)
\(744\) −2.08259 + 5.72594i −0.0763513 + 0.209923i
\(745\) 31.0066 + 17.9017i 1.13599 + 0.655867i
\(746\) −26.7171 + 15.4251i −0.978182 + 0.564754i
\(747\) 4.34903 24.7309i 0.159123 0.904856i
\(748\) 3.43228 1.98163i 0.125496 0.0724554i
\(749\) 2.58888 + 24.1982i 0.0945956 + 0.884181i
\(750\) −56.4940 20.5475i −2.06287 0.750287i
\(751\) 14.4353 + 25.0028i 0.526753 + 0.912363i 0.999514 + 0.0311726i \(0.00992416\pi\)
−0.472761 + 0.881191i \(0.656743\pi\)
\(752\) 4.54269 0.165655
\(753\) 6.63705 18.2482i 0.241868 0.665000i
\(754\) 1.15313 1.27931i 0.0419945 0.0465896i
\(755\) −96.0761 −3.49657
\(756\) −12.5734 5.55967i −0.457290 0.202203i
\(757\) 17.6464 30.5645i 0.641371 1.11089i −0.343756 0.939059i \(-0.611699\pi\)
0.985127 0.171828i \(-0.0549673\pi\)
\(758\) 6.23514i 0.226470i
\(759\) 0.139483 0.383501i 0.00506293 0.0139202i
\(760\) −8.75134 + 15.1578i −0.317444 + 0.549830i
\(761\) 31.0291 1.12480 0.562402 0.826864i \(-0.309877\pi\)
0.562402 + 0.826864i \(0.309877\pi\)
\(762\) −7.57978 + 6.36315i −0.274586 + 0.230513i
\(763\) −17.7230 + 1.89613i −0.641616 + 0.0686443i
\(764\) 22.5097 + 12.9960i 0.814374 + 0.470179i
\(765\) −31.9999 + 11.6636i −1.15696 + 0.421700i
\(766\) −4.72231 + 2.72642i −0.170624 + 0.0985097i
\(767\) −5.32557 16.4202i −0.192295 0.592900i
\(768\) −1.70567 + 0.301159i −0.0615480 + 0.0108671i
\(769\) 23.8845 + 13.7897i 0.861297 + 0.497270i 0.864446 0.502725i \(-0.167669\pi\)
−0.00314940 + 0.999995i \(0.501002\pi\)
\(770\) −6.78878 + 15.3246i −0.244651 + 0.552259i
\(771\) −1.46073 + 4.01619i −0.0526069 + 0.144639i
\(772\) 6.03765 10.4575i 0.217300 0.376375i
\(773\) −0.356834 + 0.618055i −0.0128344 + 0.0222299i −0.872371 0.488844i \(-0.837419\pi\)
0.859537 + 0.511074i \(0.170752\pi\)
\(774\) 15.4242 18.3990i 0.554411 0.661337i