Properties

Label 370.2.q.f.103.1
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.1
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.f.97.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.875179 - 3.26621i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.0954522 - 2.23403i) q^{5} +(2.39103 - 2.39103i) q^{6} +(-0.371808 - 1.38761i) q^{7} -1.00000 q^{8} +(-7.30413 + 4.21704i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.875179 - 3.26621i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.0954522 - 2.23403i) q^{5} +(2.39103 - 2.39103i) q^{6} +(-0.371808 - 1.38761i) q^{7} -1.00000 q^{8} +(-7.30413 + 4.21704i) q^{9} +(1.88700 - 1.19968i) q^{10} +3.50418i q^{11} +(3.26621 + 0.875179i) q^{12} +(2.36301 - 4.09285i) q^{13} +(1.01580 - 1.01580i) q^{14} +(-7.21328 + 2.26694i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.841769 + 0.485996i) q^{17} +(-7.30413 - 4.21704i) q^{18} +(-2.83888 + 0.760674i) q^{19} +(1.98245 + 1.03435i) q^{20} +(-4.20682 + 2.42881i) q^{21} +(-3.03471 + 1.75209i) q^{22} -4.40324 q^{23} +(0.875179 + 3.26621i) q^{24} +(-4.98178 + 0.426486i) q^{25} +4.72601 q^{26} +(12.9931 + 12.9931i) q^{27} +(1.38761 + 0.371808i) q^{28} +(7.48307 - 7.48307i) q^{29} +(-5.56987 - 5.11341i) q^{30} +(-3.66211 - 3.66211i) q^{31} +(0.500000 - 0.866025i) q^{32} +(11.4454 - 3.06678i) q^{33} +(-0.841769 - 0.485996i) q^{34} +(-3.06447 + 0.963081i) q^{35} -8.43408i q^{36} +(2.45454 - 5.56554i) q^{37} +(-2.07820 - 2.07820i) q^{38} +(-15.4362 - 4.13611i) q^{39} +(0.0954522 + 2.23403i) q^{40} +(3.39922 + 1.96254i) q^{41} +(-4.20682 - 2.42881i) q^{42} -2.05539 q^{43} +(-3.03471 - 1.75209i) q^{44} +(10.1182 + 15.9151i) q^{45} +(-2.20162 - 3.81332i) q^{46} +(7.19687 - 7.19687i) q^{47} +(-2.39103 + 2.39103i) q^{48} +(4.27496 - 2.46815i) q^{49} +(-2.86024 - 4.10110i) q^{50} +(2.32406 + 2.32406i) q^{51} +(2.36301 + 4.09285i) q^{52} +(-0.343321 + 1.28129i) q^{53} +(-4.75579 + 17.7488i) q^{54} +(7.82843 - 0.334481i) q^{55} +(0.371808 + 1.38761i) q^{56} +(4.96905 + 8.60664i) q^{57} +(10.2221 + 2.73899i) q^{58} +(1.29704 - 4.84063i) q^{59} +(1.64341 - 7.38035i) q^{60} +(1.28615 - 0.344624i) q^{61} +(1.34043 - 5.00254i) q^{62} +(8.56733 + 8.56733i) q^{63} +1.00000 q^{64} +(-9.36910 - 4.88836i) q^{65} +(8.37860 + 8.37860i) q^{66} +(1.91490 - 0.513096i) q^{67} -0.971991i q^{68} +(3.85362 + 14.3819i) q^{69} +(-2.36629 - 2.17237i) q^{70} +(-3.83717 + 6.64618i) q^{71} +(7.30413 - 4.21704i) q^{72} +(-8.69667 + 8.69667i) q^{73} +(6.04717 - 0.657081i) q^{74} +(5.75294 + 15.8983i) q^{75} +(0.760674 - 2.83888i) q^{76} +(4.86242 - 1.30288i) q^{77} +(-4.13611 - 15.4362i) q^{78} +(-2.35523 + 0.631083i) q^{79} +(-1.88700 + 1.19968i) q^{80} +(18.4157 - 31.8970i) q^{81} +3.92508i q^{82} +(0.907980 - 3.38863i) q^{83} -4.85762i q^{84} +(1.16608 + 1.83415i) q^{85} +(-1.02770 - 1.78002i) q^{86} +(-30.9903 - 17.8923i) q^{87} -3.50418i q^{88} +(8.16888 + 2.18884i) q^{89} +(-8.72379 + 16.7202i) q^{90} +(-6.55785 - 1.75717i) q^{91} +(2.20162 - 3.81332i) q^{92} +(-8.75623 + 15.1662i) q^{93} +(9.83111 + 2.63424i) q^{94} +(1.97035 + 6.26952i) q^{95} +(-3.26621 - 0.875179i) q^{96} -4.02372i q^{97} +(4.27496 + 2.46815i) q^{98} +(-14.7772 - 25.5949i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) −0.875179 3.26621i −0.505285 1.88575i −0.462407 0.886668i \(-0.653014\pi\)
−0.0428780 0.999080i \(-0.513653\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.0954522 2.23403i −0.0426875 0.999088i
\(6\) 2.39103 2.39103i 0.976135 0.976135i
\(7\) −0.371808 1.38761i −0.140530 0.524466i −0.999914 0.0131346i \(-0.995819\pi\)
0.859383 0.511332i \(-0.170848\pi\)
\(8\) −1.00000 −0.353553
\(9\) −7.30413 + 4.21704i −2.43471 + 1.40568i
\(10\) 1.88700 1.19968i 0.596722 0.379372i
\(11\) 3.50418i 1.05655i 0.849074 + 0.528274i \(0.177161\pi\)
−0.849074 + 0.528274i \(0.822839\pi\)
\(12\) 3.26621 + 0.875179i 0.942874 + 0.252642i
\(13\) 2.36301 4.09285i 0.655380 1.13515i −0.326418 0.945226i \(-0.605842\pi\)
0.981798 0.189926i \(-0.0608250\pi\)
\(14\) 1.01580 1.01580i 0.271484 0.271484i
\(15\) −7.21328 + 2.26694i −1.86246 + 0.585322i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −0.841769 + 0.485996i −0.204159 + 0.117871i −0.598594 0.801053i \(-0.704274\pi\)
0.394435 + 0.918924i \(0.370940\pi\)
\(18\) −7.30413 4.21704i −1.72160 0.993966i
\(19\) −2.83888 + 0.760674i −0.651283 + 0.174511i −0.569309 0.822124i \(-0.692789\pi\)
−0.0819740 + 0.996634i \(0.526122\pi\)
\(20\) 1.98245 + 1.03435i 0.443290 + 0.231288i
\(21\) −4.20682 + 2.42881i −0.918004 + 0.530010i
\(22\) −3.03471 + 1.75209i −0.647001 + 0.373546i
\(23\) −4.40324 −0.918140 −0.459070 0.888400i \(-0.651817\pi\)
−0.459070 + 0.888400i \(0.651817\pi\)
\(24\) 0.875179 + 3.26621i 0.178645 + 0.666713i
\(25\) −4.98178 + 0.426486i −0.996356 + 0.0852972i
\(26\) 4.72601 0.926848
\(27\) 12.9931 + 12.9931i 2.50052 + 2.50052i
\(28\) 1.38761 + 0.371808i 0.262233 + 0.0702652i
\(29\) 7.48307 7.48307i 1.38957 1.38957i 0.563361 0.826211i \(-0.309508\pi\)
0.826211 0.563361i \(-0.190492\pi\)
\(30\) −5.56987 5.11341i −1.01691 0.933577i
\(31\) −3.66211 3.66211i −0.657735 0.657735i 0.297109 0.954844i \(-0.403978\pi\)
−0.954844 + 0.297109i \(0.903978\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 11.4454 3.06678i 1.99239 0.533858i
\(34\) −0.841769 0.485996i −0.144362 0.0833476i
\(35\) −3.06447 + 0.963081i −0.517989 + 0.162790i
\(36\) 8.43408i 1.40568i
\(37\) 2.45454 5.56554i 0.403523 0.914969i
\(38\) −2.07820 2.07820i −0.337129 0.337129i
\(39\) −15.4362 4.13611i −2.47176 0.662307i
\(40\) 0.0954522 + 2.23403i 0.0150923 + 0.353231i
\(41\) 3.39922 + 1.96254i 0.530869 + 0.306498i 0.741370 0.671096i \(-0.234176\pi\)
−0.210501 + 0.977594i \(0.567510\pi\)
\(42\) −4.20682 2.42881i −0.649127 0.374773i
\(43\) −2.05539 −0.313445 −0.156722 0.987643i \(-0.550093\pi\)
−0.156722 + 0.987643i \(0.550093\pi\)
\(44\) −3.03471 1.75209i −0.457499 0.264137i
\(45\) 10.1182 + 15.9151i 1.50833 + 2.37248i
\(46\) −2.20162 3.81332i −0.324611 0.562243i
\(47\) 7.19687 7.19687i 1.04977 1.04977i 0.0510766 0.998695i \(-0.483735\pi\)
0.998695 0.0510766i \(-0.0162653\pi\)
\(48\) −2.39103 + 2.39103i −0.345116 + 0.345116i
\(49\) 4.27496 2.46815i 0.610709 0.352593i
\(50\) −2.86024 4.10110i −0.404499 0.579984i
\(51\) 2.32406 + 2.32406i 0.325434 + 0.325434i
\(52\) 2.36301 + 4.09285i 0.327690 + 0.567576i
\(53\) −0.343321 + 1.28129i −0.0471587 + 0.175999i −0.985488 0.169743i \(-0.945706\pi\)
0.938330 + 0.345742i \(0.112373\pi\)
\(54\) −4.75579 + 17.7488i −0.647181 + 2.41531i
\(55\) 7.82843 0.334481i 1.05559 0.0451015i
\(56\) 0.371808 + 1.38761i 0.0496850 + 0.185427i
\(57\) 4.96905 + 8.60664i 0.658166 + 1.13998i
\(58\) 10.2221 + 2.73899i 1.34222 + 0.359648i
\(59\) 1.29704 4.84063i 0.168861 0.630196i −0.828656 0.559759i \(-0.810894\pi\)
0.997516 0.0704374i \(-0.0224395\pi\)
\(60\) 1.64341 7.38035i 0.212163 0.952799i
\(61\) 1.28615 0.344624i 0.164675 0.0441246i −0.175539 0.984472i \(-0.556167\pi\)
0.340215 + 0.940348i \(0.389500\pi\)
\(62\) 1.34043 5.00254i 0.170234 0.635323i
\(63\) 8.56733 + 8.56733i 1.07938 + 1.07938i
\(64\) 1.00000 0.125000
\(65\) −9.36910 4.88836i −1.16209 0.606326i
\(66\) 8.37860 + 8.37860i 1.03133 + 1.03133i
\(67\) 1.91490 0.513096i 0.233942 0.0626847i −0.139943 0.990160i \(-0.544692\pi\)
0.373885 + 0.927475i \(0.378025\pi\)
\(68\) 0.971991i 0.117871i
\(69\) 3.85362 + 14.3819i 0.463922 + 1.73138i
\(70\) −2.36629 2.17237i −0.282825 0.259647i
\(71\) −3.83717 + 6.64618i −0.455389 + 0.788756i −0.998710 0.0507683i \(-0.983833\pi\)
0.543322 + 0.839524i \(0.317166\pi\)
\(72\) 7.30413 4.21704i 0.860799 0.496983i
\(73\) −8.69667 + 8.69667i −1.01787 + 1.01787i −0.0180303 + 0.999837i \(0.505740\pi\)
−0.999837 + 0.0180303i \(0.994260\pi\)
\(74\) 6.04717 0.657081i 0.702969 0.0763841i
\(75\) 5.75294 + 15.8983i 0.664292 + 1.83578i
\(76\) 0.760674 2.83888i 0.0872553 0.325641i
\(77\) 4.86242 1.30288i 0.554124 0.148477i
\(78\) −4.13611 15.4362i −0.468322 1.74780i
\(79\) −2.35523 + 0.631083i −0.264985 + 0.0710024i −0.388865 0.921295i \(-0.627133\pi\)
0.123880 + 0.992297i \(0.460466\pi\)
\(80\) −1.88700 + 1.19968i −0.210973 + 0.134128i
\(81\) 18.4157 31.8970i 2.04619 3.54411i
\(82\) 3.92508i 0.433453i
\(83\) 0.907980 3.38863i 0.0996637 0.371950i −0.898022 0.439952i \(-0.854996\pi\)
0.997685 + 0.0680016i \(0.0216623\pi\)
\(84\) 4.85762i 0.530010i
\(85\) 1.16608 + 1.83415i 0.126479 + 0.198941i
\(86\) −1.02770 1.78002i −0.110819 0.191945i
\(87\) −30.9903 17.8923i −3.32251 1.91825i
\(88\) 3.50418i 0.373546i
\(89\) 8.16888 + 2.18884i 0.865899 + 0.232017i 0.664314 0.747454i \(-0.268724\pi\)
0.201586 + 0.979471i \(0.435391\pi\)
\(90\) −8.72379 + 16.7202i −0.919569 + 1.76246i
\(91\) −6.55785 1.75717i −0.687450 0.184202i
\(92\) 2.20162 3.81332i 0.229535 0.397566i
\(93\) −8.75623 + 15.1662i −0.907979 + 1.57267i
\(94\) 9.83111 + 2.63424i 1.01400 + 0.271701i
\(95\) 1.97035 + 6.26952i 0.202153 + 0.643240i
\(96\) −3.26621 0.875179i −0.333356 0.0893226i
\(97\) 4.02372i 0.408547i −0.978914 0.204274i \(-0.934517\pi\)
0.978914 0.204274i \(-0.0654832\pi\)
\(98\) 4.27496 + 2.46815i 0.431837 + 0.249321i
\(99\) −14.7772 25.5949i −1.48517 2.57239i
\(100\) 2.12154 4.52759i 0.212154 0.452759i
\(101\) 4.01042i 0.399052i −0.979893 0.199526i \(-0.936060\pi\)
0.979893 0.199526i \(-0.0639402\pi\)
\(102\) −0.850666 + 3.17473i −0.0842285 + 0.314345i
\(103\) 10.6403i 1.04842i −0.851588 0.524212i \(-0.824360\pi\)
0.851588 0.524212i \(-0.175640\pi\)
\(104\) −2.36301 + 4.09285i −0.231712 + 0.401337i
\(105\) 5.82758 + 9.16633i 0.568714 + 0.894542i
\(106\) −1.28129 + 0.343321i −0.124450 + 0.0333462i
\(107\) 3.01308 + 11.2450i 0.291285 + 1.08709i 0.944123 + 0.329594i \(0.106912\pi\)
−0.652838 + 0.757498i \(0.726422\pi\)
\(108\) −17.7488 + 4.75579i −1.70788 + 0.457626i
\(109\) −0.0575535 + 0.214793i −0.00551263 + 0.0205734i −0.968627 0.248518i \(-0.920057\pi\)
0.963115 + 0.269091i \(0.0867233\pi\)
\(110\) 4.20389 + 6.61238i 0.400825 + 0.630466i
\(111\) −20.3264 3.14619i −1.92930 0.298623i
\(112\) −1.01580 + 1.01580i −0.0959840 + 0.0959840i
\(113\) 13.1272 7.57898i 1.23490 0.712971i 0.266854 0.963737i \(-0.414016\pi\)
0.968048 + 0.250767i \(0.0806826\pi\)
\(114\) −4.96905 + 8.60664i −0.465394 + 0.806086i
\(115\) 0.420299 + 9.83697i 0.0391931 + 0.917303i
\(116\) 2.73899 + 10.2221i 0.254309 + 0.949095i
\(117\) 39.8596i 3.68502i
\(118\) 4.84063 1.29704i 0.445616 0.119402i
\(119\) 0.987348 + 0.987348i 0.0905100 + 0.0905100i
\(120\) 7.21328 2.26694i 0.658479 0.206943i
\(121\) −1.27925 −0.116295
\(122\) 0.941530 + 0.941530i 0.0852422 + 0.0852422i
\(123\) 3.43515 12.8202i 0.309737 1.15595i
\(124\) 5.00254 1.34043i 0.449241 0.120374i
\(125\) 1.42830 + 11.0887i 0.127751 + 0.991806i
\(126\) −3.13586 + 11.7032i −0.279365 + 1.04260i
\(127\) 2.57326 + 0.689503i 0.228340 + 0.0611835i 0.371175 0.928563i \(-0.378955\pi\)
−0.142835 + 0.989747i \(0.545622\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 1.79884 + 6.71335i 0.158379 + 0.591077i
\(130\) −0.451109 10.5581i −0.0395648 0.926003i
\(131\) −4.93208 + 18.4068i −0.430918 + 1.60821i 0.319733 + 0.947508i \(0.396407\pi\)
−0.750651 + 0.660699i \(0.770260\pi\)
\(132\) −3.06678 + 11.4454i −0.266929 + 0.996193i
\(133\) 2.11104 + 3.65642i 0.183050 + 0.317052i
\(134\) 1.40180 + 1.40180i 0.121097 + 0.121097i
\(135\) 27.7867 30.2671i 2.39150 2.60498i
\(136\) 0.841769 0.485996i 0.0721811 0.0416738i
\(137\) 3.56459 3.56459i 0.304544 0.304544i −0.538245 0.842789i \(-0.680912\pi\)
0.842789 + 0.538245i \(0.180912\pi\)
\(138\) −10.5283 + 10.5283i −0.896228 + 0.896228i
\(139\) −6.31257 10.9337i −0.535425 0.927383i −0.999143 0.0414002i \(-0.986818\pi\)
0.463718 0.885983i \(-0.346515\pi\)
\(140\) 0.698181 3.13545i 0.0590070 0.264994i
\(141\) −29.8050 17.2080i −2.51004 1.44917i
\(142\) −7.67435 −0.644017
\(143\) 14.3421 + 8.28039i 1.19934 + 0.692441i
\(144\) 7.30413 + 4.21704i 0.608677 + 0.351420i
\(145\) −17.4317 16.0031i −1.44762 1.32899i
\(146\) −11.8799 3.18320i −0.983185 0.263444i
\(147\) −11.8029 11.8029i −0.973484 0.973484i
\(148\) 3.59263 + 4.90846i 0.295313 + 0.403473i
\(149\) 3.54527i 0.290440i −0.989399 0.145220i \(-0.953611\pi\)
0.989399 0.145220i \(-0.0463890\pi\)
\(150\) −10.8919 + 12.9313i −0.889316 + 1.05584i
\(151\) −2.07856 1.20006i −0.169151 0.0976591i 0.413035 0.910715i \(-0.364469\pi\)
−0.582185 + 0.813056i \(0.697802\pi\)
\(152\) 2.83888 0.760674i 0.230263 0.0616988i
\(153\) 4.09892 7.09955i 0.331378 0.573964i
\(154\) 3.55954 + 3.55954i 0.286836 + 0.286836i
\(155\) −7.83171 + 8.53082i −0.629058 + 0.685212i
\(156\) 11.3001 11.3001i 0.904729 0.904729i
\(157\) −16.9559 4.54333i −1.35323 0.362597i −0.491904 0.870650i \(-0.663699\pi\)
−0.861326 + 0.508053i \(0.830365\pi\)
\(158\) −1.72415 1.72415i −0.137166 0.137166i
\(159\) 4.48543 0.355718
\(160\) −1.98245 1.03435i −0.156727 0.0817726i
\(161\) 1.63716 + 6.10997i 0.129026 + 0.481533i
\(162\) 36.8314 2.89375
\(163\) 1.35726 0.783615i 0.106309 0.0613775i −0.445903 0.895081i \(-0.647117\pi\)
0.552212 + 0.833704i \(0.313784\pi\)
\(164\) −3.39922 + 1.96254i −0.265435 + 0.153249i
\(165\) −7.94377 25.2766i −0.618421 1.96778i
\(166\) 3.38863 0.907980i 0.263008 0.0704729i
\(167\) 13.1746 + 7.60634i 1.01948 + 0.588596i 0.913953 0.405821i \(-0.133014\pi\)
0.105525 + 0.994417i \(0.466348\pi\)
\(168\) 4.20682 2.42881i 0.324563 0.187387i
\(169\) −4.66761 8.08453i −0.359047 0.621887i
\(170\) −1.00538 + 1.92693i −0.0771091 + 0.147789i
\(171\) 17.5277 17.5277i 1.34038 1.34038i
\(172\) 1.02770 1.78002i 0.0783611 0.135725i
\(173\) 20.4514 + 5.47994i 1.55489 + 0.416632i 0.931042 0.364912i \(-0.118901\pi\)
0.623850 + 0.781544i \(0.285568\pi\)
\(174\) 35.7845i 2.71282i
\(175\) 2.44406 + 6.75418i 0.184754 + 0.510568i
\(176\) 3.03471 1.75209i 0.228750 0.132069i
\(177\) −16.9457 −1.27371
\(178\) 2.18884 + 8.16888i 0.164061 + 0.612283i
\(179\) −0.921605 + 0.921605i −0.0688840 + 0.0688840i −0.740709 0.671825i \(-0.765510\pi\)
0.671825 + 0.740709i \(0.265510\pi\)
\(180\) −18.8420 + 0.805051i −1.40440 + 0.0600050i
\(181\) −2.29210 + 3.97004i −0.170371 + 0.295091i −0.938549 0.345145i \(-0.887830\pi\)
0.768179 + 0.640235i \(0.221163\pi\)
\(182\) −1.75717 6.55785i −0.130250 0.486100i
\(183\) −2.25123 3.89925i −0.166416 0.288241i
\(184\) 4.40324 0.324611
\(185\) −12.6679 4.95226i −0.931361 0.364098i
\(186\) −17.5125 −1.28408
\(187\) −1.70301 2.94971i −0.124537 0.215704i
\(188\) 2.63424 + 9.83111i 0.192121 + 0.717007i
\(189\) 13.1983 22.8602i 0.960038 1.66283i
\(190\) −4.44439 + 4.84113i −0.322430 + 0.351213i
\(191\) −1.47776 + 1.47776i −0.106927 + 0.106927i −0.758546 0.651619i \(-0.774090\pi\)
0.651619 + 0.758546i \(0.274090\pi\)
\(192\) −0.875179 3.26621i −0.0631606 0.235719i
\(193\) −9.35362 −0.673288 −0.336644 0.941632i \(-0.609292\pi\)
−0.336644 + 0.941632i \(0.609292\pi\)
\(194\) 3.48465 2.01186i 0.250183 0.144443i
\(195\) −7.76677 + 34.8797i −0.556190 + 2.49778i
\(196\) 4.93630i 0.352593i
\(197\) 8.55452 + 2.29218i 0.609484 + 0.163311i 0.550343 0.834939i \(-0.314497\pi\)
0.0591415 + 0.998250i \(0.481164\pi\)
\(198\) 14.7772 25.5949i 1.05017 1.81895i
\(199\) 11.6194 11.6194i 0.823677 0.823677i −0.162956 0.986633i \(-0.552103\pi\)
0.986633 + 0.162956i \(0.0521029\pi\)
\(200\) 4.98178 0.426486i 0.352265 0.0301571i
\(201\) −3.35176 5.80542i −0.236415 0.409483i
\(202\) 3.47312 2.00521i 0.244368 0.141086i
\(203\) −13.1658 7.60130i −0.924061 0.533507i
\(204\) −3.17473 + 0.850666i −0.222276 + 0.0595585i
\(205\) 4.05991 7.78129i 0.283557 0.543469i
\(206\) 9.21480 5.32017i 0.642026 0.370674i
\(207\) 32.1618 18.5686i 2.23540 1.29061i
\(208\) −4.72601 −0.327690
\(209\) −2.66554 9.94792i −0.184379 0.688112i
\(210\) −5.02448 + 9.63000i −0.346722 + 0.664533i
\(211\) −3.02550 −0.208284 −0.104142 0.994562i \(-0.533210\pi\)
−0.104142 + 0.994562i \(0.533210\pi\)
\(212\) −0.937969 0.937969i −0.0644200 0.0644200i
\(213\) 25.0660 + 6.71642i 1.71750 + 0.460202i
\(214\) −8.23188 + 8.23188i −0.562720 + 0.562720i
\(215\) 0.196192 + 4.59181i 0.0133802 + 0.313159i
\(216\) −12.9931 12.9931i −0.884066 0.884066i
\(217\) −3.71997 + 6.44318i −0.252528 + 0.437391i
\(218\) −0.214793 + 0.0575535i −0.0145476 + 0.00389802i
\(219\) 36.0163 + 20.7940i 2.43376 + 1.40513i
\(220\) −3.62455 + 6.94686i −0.244367 + 0.468357i
\(221\) 4.59364i 0.309002i
\(222\) −7.43852 19.1763i −0.499241 1.28703i
\(223\) 12.3697 + 12.3697i 0.828335 + 0.828335i 0.987286 0.158951i \(-0.0508113\pi\)
−0.158951 + 0.987286i \(0.550811\pi\)
\(224\) −1.38761 0.371808i −0.0927134 0.0248425i
\(225\) 34.5890 24.1235i 2.30593 1.60823i
\(226\) 13.1272 + 7.57898i 0.873207 + 0.504146i
\(227\) −16.0391 9.26019i −1.06455 0.614621i −0.137866 0.990451i \(-0.544024\pi\)
−0.926688 + 0.375830i \(0.877358\pi\)
\(228\) −9.93810 −0.658166
\(229\) −3.04556 1.75836i −0.201257 0.116196i 0.395985 0.918257i \(-0.370403\pi\)
−0.597241 + 0.802061i \(0.703737\pi\)
\(230\) −8.30892 + 5.28248i −0.547874 + 0.348316i
\(231\) −8.51098 14.7414i −0.559981 0.969916i
\(232\) −7.48307 + 7.48307i −0.491288 + 0.491288i
\(233\) −10.4880 + 10.4880i −0.687091 + 0.687091i −0.961588 0.274497i \(-0.911489\pi\)
0.274497 + 0.961588i \(0.411489\pi\)
\(234\) −34.5194 + 19.9298i −2.25660 + 1.30285i
\(235\) −16.7650 15.3911i −1.09363 1.00400i
\(236\) 3.54359 + 3.54359i 0.230668 + 0.230668i
\(237\) 4.12250 + 7.14038i 0.267785 + 0.463818i
\(238\) −0.361394 + 1.34874i −0.0234257 + 0.0874260i
\(239\) −5.10887 + 19.0666i −0.330466 + 1.23331i 0.578236 + 0.815869i \(0.303741\pi\)
−0.908702 + 0.417445i \(0.862926\pi\)
\(240\) 5.56987 + 5.11341i 0.359533 + 0.330069i
\(241\) 1.10073 + 4.10799i 0.0709044 + 0.264619i 0.992273 0.124070i \(-0.0395948\pi\)
−0.921369 + 0.388689i \(0.872928\pi\)
\(242\) −0.639625 1.10786i −0.0411166 0.0712161i
\(243\) −67.0527 17.9667i −4.30143 1.15257i
\(244\) −0.344624 + 1.28615i −0.0220623 + 0.0823376i
\(245\) −5.92198 9.31481i −0.378341 0.595101i
\(246\) 12.8202 3.43515i 0.817383 0.219017i
\(247\) −3.59496 + 13.4166i −0.228742 + 0.853676i
\(248\) 3.66211 + 3.66211i 0.232544 + 0.232544i
\(249\) −11.8626 −0.751763
\(250\) −8.88897 + 6.78131i −0.562188 + 0.428888i
\(251\) 17.5003 + 17.5003i 1.10461 + 1.10461i 0.993847 + 0.110764i \(0.0353297\pi\)
0.110764 + 0.993847i \(0.464670\pi\)
\(252\) −11.7032 + 3.13586i −0.737232 + 0.197541i
\(253\) 15.4297i 0.970059i
\(254\) 0.689503 + 2.57326i 0.0432633 + 0.161461i
\(255\) 4.97019 5.41386i 0.311245 0.339029i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 11.0066 6.35464i 0.686570 0.396391i −0.115756 0.993278i \(-0.536929\pi\)
0.802326 + 0.596886i \(0.203596\pi\)
\(258\) −4.91451 + 4.91451i −0.305964 + 0.305964i
\(259\) −8.63541 1.33662i −0.536578 0.0830534i
\(260\) 8.91799 5.66970i 0.553070 0.351620i
\(261\) −23.1009 + 86.2137i −1.42991 + 5.33649i
\(262\) −18.4068 + 4.93208i −1.13717 + 0.304705i
\(263\) −7.10198 26.5050i −0.437927 1.63437i −0.733963 0.679189i \(-0.762332\pi\)
0.296036 0.955177i \(-0.404335\pi\)
\(264\) −11.4454 + 3.06678i −0.704414 + 0.188747i
\(265\) 2.89521 + 0.644686i 0.177851 + 0.0396028i
\(266\) −2.11104 + 3.65642i −0.129436 + 0.224190i
\(267\) 28.5969i 1.75010i
\(268\) −0.513096 + 1.91490i −0.0313423 + 0.116971i
\(269\) 28.3433i 1.72812i 0.503388 + 0.864061i \(0.332087\pi\)
−0.503388 + 0.864061i \(0.667913\pi\)
\(270\) 40.1054 + 8.93041i 2.44074 + 0.543487i
\(271\) −8.06381 13.9669i −0.489842 0.848431i 0.510090 0.860121i \(-0.329612\pi\)
−0.999932 + 0.0116905i \(0.996279\pi\)
\(272\) 0.841769 + 0.485996i 0.0510397 + 0.0294678i
\(273\) 22.9572i 1.38943i
\(274\) 4.86932 + 1.30473i 0.294167 + 0.0788217i
\(275\) −1.49448 17.4570i −0.0901207 1.05270i
\(276\) −14.3819 3.85362i −0.865690 0.231961i
\(277\) −4.75297 + 8.23239i −0.285579 + 0.494637i −0.972749 0.231859i \(-0.925519\pi\)
0.687171 + 0.726496i \(0.258852\pi\)
\(278\) 6.31257 10.9337i 0.378603 0.655759i
\(279\) 42.1918 + 11.3053i 2.52596 + 0.676828i
\(280\) 3.06447 0.963081i 0.183137 0.0575551i
\(281\) 15.8741 + 4.25345i 0.946968 + 0.253739i 0.699075 0.715048i \(-0.253595\pi\)
0.247893 + 0.968787i \(0.420262\pi\)
\(282\) 34.4159i 2.04944i
\(283\) 5.46001 + 3.15234i 0.324564 + 0.187387i 0.653425 0.756991i \(-0.273332\pi\)
−0.328861 + 0.944378i \(0.606665\pi\)
\(284\) −3.83717 6.64618i −0.227694 0.394378i
\(285\) 18.7532 11.9225i 1.11084 0.706229i
\(286\) 16.5608i 0.979260i
\(287\) 1.45938 5.44648i 0.0861444 0.321495i
\(288\) 8.43408i 0.496983i
\(289\) −8.02762 + 13.9042i −0.472213 + 0.817896i
\(290\) 5.14328 23.0978i 0.302024 1.35635i
\(291\) −13.1423 + 3.52148i −0.770417 + 0.206433i
\(292\) −3.18320 11.8799i −0.186283 0.695217i
\(293\) 0.387665 0.103875i 0.0226476 0.00606841i −0.247477 0.968894i \(-0.579602\pi\)
0.270125 + 0.962825i \(0.412935\pi\)
\(294\) 4.32015 16.1230i 0.251956 0.940313i
\(295\) −10.9379 2.43558i −0.636830 0.141805i
\(296\) −2.45454 + 5.56554i −0.142667 + 0.323491i
\(297\) −45.5300 + 45.5300i −2.64192 + 2.64192i
\(298\) 3.07030 1.77264i 0.177857 0.102686i
\(299\) −10.4049 + 18.0218i −0.601731 + 1.04223i
\(300\) −16.6448 2.96695i −0.960988 0.171297i
\(301\) 0.764212 + 2.85208i 0.0440485 + 0.164391i
\(302\) 2.40011i 0.138111i
\(303\) −13.0989 + 3.50983i −0.752511 + 0.201635i
\(304\) 2.07820 + 2.07820i 0.119193 + 0.119193i
\(305\) −0.892667 2.84041i −0.0511139 0.162642i
\(306\) 8.19785 0.468640
\(307\) 20.6896 + 20.6896i 1.18082 + 1.18082i 0.979533 + 0.201285i \(0.0645118\pi\)
0.201285 + 0.979533i \(0.435488\pi\)
\(308\) −1.30288 + 4.86242i −0.0742386 + 0.277062i
\(309\) −34.7536 + 9.31220i −1.97706 + 0.529752i
\(310\) −11.3038 2.51705i −0.642011 0.142959i
\(311\) −2.04408 + 7.62862i −0.115909 + 0.432579i −0.999353 0.0359575i \(-0.988552\pi\)
0.883444 + 0.468537i \(0.155219\pi\)
\(312\) 15.4362 + 4.13611i 0.873901 + 0.234161i
\(313\) −14.1499 24.5084i −0.799802 1.38530i −0.919745 0.392517i \(-0.871605\pi\)
0.119943 0.992781i \(-0.461729\pi\)
\(314\) −4.54333 16.9559i −0.256395 0.956878i
\(315\) 18.3219 19.9574i 1.03232 1.12447i
\(316\) 0.631083 2.35523i 0.0355012 0.132492i
\(317\) 0.506204 1.88918i 0.0284312 0.106107i −0.950252 0.311482i \(-0.899175\pi\)
0.978683 + 0.205375i \(0.0658414\pi\)
\(318\) 2.24272 + 3.88450i 0.125765 + 0.217832i
\(319\) 26.2220 + 26.2220i 1.46815 + 1.46815i
\(320\) −0.0954522 2.23403i −0.00533594 0.124886i
\(321\) 34.0914 19.6827i 1.90280 1.09858i
\(322\) −4.47281 + 4.47281i −0.249260 + 0.249260i
\(323\) 2.01999 2.01999i 0.112395 0.112395i
\(324\) 18.4157 + 31.8970i 1.02310 + 1.77205i
\(325\) −10.0264 + 21.3975i −0.556166 + 1.18692i
\(326\) 1.35726 + 0.783615i 0.0751717 + 0.0434004i
\(327\) 0.751928 0.0415817
\(328\) −3.39922 1.96254i −0.187691 0.108363i
\(329\) −12.6623 7.31058i −0.698095 0.403045i
\(330\) 17.9183 19.5178i 0.986369 1.07442i
\(331\) 6.03742 + 1.61772i 0.331846 + 0.0889180i 0.420895 0.907109i \(-0.361716\pi\)
−0.0890487 + 0.996027i \(0.528383\pi\)
\(332\) 2.48065 + 2.48065i 0.136143 + 0.136143i
\(333\) 5.54187 + 51.0023i 0.303693 + 2.79491i
\(334\) 15.2127i 0.832400i
\(335\) −1.32905 4.22897i −0.0726139 0.231053i
\(336\) 4.20682 + 2.42881i 0.229501 + 0.132502i
\(337\) 15.8708 4.25257i 0.864537 0.231652i 0.200813 0.979630i \(-0.435642\pi\)
0.663724 + 0.747977i \(0.268975\pi\)
\(338\) 4.66761 8.08453i 0.253884 0.439741i
\(339\) −36.2432 36.2432i −1.96846 1.96846i
\(340\) −2.17146 + 0.0927787i −0.117764 + 0.00503163i
\(341\) 12.8327 12.8327i 0.694929 0.694929i
\(342\) 23.9433 + 6.41559i 1.29471 + 0.346915i
\(343\) −12.1249 12.1249i −0.654682 0.654682i
\(344\) 2.05539 0.110819
\(345\) 31.7618 9.98190i 1.71000 0.537407i
\(346\) 5.47994 + 20.4514i 0.294603 + 1.09947i
\(347\) −34.0867 −1.82987 −0.914934 0.403603i \(-0.867758\pi\)
−0.914934 + 0.403603i \(0.867758\pi\)
\(348\) 30.9903 17.8923i 1.66126 0.959127i
\(349\) 10.0882 5.82443i 0.540009 0.311774i −0.205073 0.978747i \(-0.565743\pi\)
0.745083 + 0.666972i \(0.232410\pi\)
\(350\) −4.62726 + 5.49371i −0.247338 + 0.293651i
\(351\) 83.8813 22.4759i 4.47725 1.19968i
\(352\) 3.03471 + 1.75209i 0.161750 + 0.0933866i
\(353\) −5.24895 + 3.03048i −0.279373 + 0.161296i −0.633140 0.774038i \(-0.718234\pi\)
0.353766 + 0.935334i \(0.384901\pi\)
\(354\) −8.47283 14.6754i −0.450326 0.779987i
\(355\) 15.2140 + 7.93797i 0.807477 + 0.421303i
\(356\) −5.98003 + 5.98003i −0.316941 + 0.316941i
\(357\) 2.36078 4.08899i 0.124946 0.216412i
\(358\) −1.25894 0.337331i −0.0665368 0.0178285i
\(359\) 31.9848i 1.68809i 0.536269 + 0.844047i \(0.319833\pi\)
−0.536269 + 0.844047i \(0.680167\pi\)
\(360\) −10.1182 15.9151i −0.533275 0.838800i
\(361\) −8.97389 + 5.18108i −0.472310 + 0.272688i
\(362\) −4.58420 −0.240940
\(363\) 1.11957 + 4.17830i 0.0587623 + 0.219304i
\(364\) 4.80068 4.80068i 0.251624 0.251624i
\(365\) 20.2587 + 18.5985i 1.06039 + 0.973490i
\(366\) 2.25123 3.89925i 0.117674 0.203817i
\(367\) −3.40191 12.6961i −0.177578 0.662732i −0.996098 0.0882533i \(-0.971872\pi\)
0.818520 0.574479i \(-0.194795\pi\)
\(368\) 2.20162 + 3.81332i 0.114767 + 0.198783i
\(369\) −33.1045 −1.72335
\(370\) −2.04515 13.4468i −0.106322 0.699068i
\(371\) 1.90558 0.0989326
\(372\) −8.75623 15.1662i −0.453989 0.786333i
\(373\) 5.94197 + 22.1757i 0.307664 + 1.14822i 0.930628 + 0.365966i \(0.119261\pi\)
−0.622964 + 0.782250i \(0.714072\pi\)
\(374\) 1.70301 2.94971i 0.0880608 0.152526i
\(375\) 34.9681 14.3698i 1.80575 0.742052i
\(376\) −7.19687 + 7.19687i −0.371150 + 0.371150i
\(377\) −12.9445 48.3096i −0.666677 2.48807i
\(378\) 26.3967 1.35770
\(379\) −9.34232 + 5.39379i −0.479883 + 0.277061i −0.720368 0.693592i \(-0.756027\pi\)
0.240485 + 0.970653i \(0.422694\pi\)
\(380\) −6.41474 1.42839i −0.329069 0.0732750i
\(381\) 9.00825i 0.461507i
\(382\) −2.01865 0.540896i −0.103283 0.0276746i
\(383\) 14.5452 25.1931i 0.743227 1.28731i −0.207792 0.978173i \(-0.566628\pi\)
0.951019 0.309134i \(-0.100039\pi\)
\(384\) 2.39103 2.39103i 0.122017 0.122017i
\(385\) −3.37481 10.7384i −0.171996 0.547281i
\(386\) −4.67681 8.10047i −0.238043 0.412303i
\(387\) 15.0129 8.66767i 0.763146 0.440603i
\(388\) 3.48465 + 2.01186i 0.176906 + 0.102137i
\(389\) 17.3546 4.65014i 0.879911 0.235771i 0.209542 0.977800i \(-0.432803\pi\)
0.670369 + 0.742028i \(0.266136\pi\)
\(390\) −34.0901 + 10.7136i −1.72622 + 0.542504i
\(391\) 3.70651 2.13996i 0.187446 0.108222i
\(392\) −4.27496 + 2.46815i −0.215918 + 0.124660i
\(393\) 64.4369 3.25041
\(394\) 2.29218 + 8.55452i 0.115478 + 0.430971i
\(395\) 1.63467 + 5.20143i 0.0822492 + 0.261712i
\(396\) 29.5545 1.48517
\(397\) 15.8249 + 15.8249i 0.794231 + 0.794231i 0.982179 0.187948i \(-0.0601837\pi\)
−0.187948 + 0.982179i \(0.560184\pi\)
\(398\) 15.8724 + 4.25300i 0.795611 + 0.213183i
\(399\) 10.0951 10.0951i 0.505388 0.505388i
\(400\) 2.86024 + 4.10110i 0.143012 + 0.205055i
\(401\) −7.74231 7.74231i −0.386632 0.386632i 0.486852 0.873484i \(-0.338145\pi\)
−0.873484 + 0.486852i \(0.838145\pi\)
\(402\) 3.35176 5.80542i 0.167171 0.289548i
\(403\) −23.6421 + 6.33487i −1.17770 + 0.315563i
\(404\) 3.47312 + 2.00521i 0.172794 + 0.0997629i
\(405\) −73.0166 38.0966i −3.62822 1.89304i
\(406\) 15.2026i 0.754492i
\(407\) 19.5026 + 8.60112i 0.966710 + 0.426342i
\(408\) −2.32406 2.32406i −0.115058 0.115058i
\(409\) 36.7385 + 9.84406i 1.81660 + 0.486757i 0.996359 0.0852560i \(-0.0271708\pi\)
0.820244 + 0.572013i \(0.193837\pi\)
\(410\) 8.76875 0.374658i 0.433058 0.0185030i
\(411\) −14.7624 8.52306i −0.728174 0.420411i
\(412\) 9.21480 + 5.32017i 0.453981 + 0.262106i
\(413\) −7.19914 −0.354247
\(414\) 32.1618 + 18.5686i 1.58067 + 0.912599i
\(415\) −7.65696 1.70500i −0.375865 0.0836952i
\(416\) −2.36301 4.09285i −0.115856 0.200668i
\(417\) −30.1871 + 30.1871i −1.47827 + 1.47827i
\(418\) 7.28238 7.28238i 0.356193 0.356193i
\(419\) 17.6534 10.1922i 0.862425 0.497921i −0.00239880 0.999997i \(-0.500764\pi\)
0.864824 + 0.502076i \(0.167430\pi\)
\(420\) −10.8521 + 0.463671i −0.529527 + 0.0226248i
\(421\) −1.29404 1.29404i −0.0630678 0.0630678i 0.674869 0.737937i \(-0.264200\pi\)
−0.737937 + 0.674869i \(0.764200\pi\)
\(422\) −1.51275 2.62016i −0.0736396 0.127548i
\(423\) −22.2174 + 82.9163i −1.08024 + 4.03153i
\(424\) 0.343321 1.28129i 0.0166731 0.0622249i
\(425\) 3.98624 2.78012i 0.193361 0.134856i
\(426\) 6.71642 + 25.0660i 0.325412 + 1.21445i
\(427\) −0.956406 1.65654i −0.0462837 0.0801658i
\(428\) −11.2450 3.01308i −0.543546 0.145643i
\(429\) 14.4936 54.0910i 0.699760 2.61154i
\(430\) −3.87853 + 2.46581i −0.187039 + 0.118912i
\(431\) −11.0058 + 2.94898i −0.530129 + 0.142048i −0.513948 0.857821i \(-0.671817\pi\)
−0.0161811 + 0.999869i \(0.505151\pi\)
\(432\) 4.75579 17.7488i 0.228813 0.853942i
\(433\) −21.0723 21.0723i −1.01267 1.01267i −0.999919 0.0127495i \(-0.995942\pi\)
−0.0127495 0.999919i \(-0.504058\pi\)
\(434\) −7.43994 −0.357129
\(435\) −37.0138 + 70.9412i −1.77467 + 3.40137i
\(436\) −0.157239 0.157239i −0.00753039 0.00753039i
\(437\) 12.5003 3.34943i 0.597968 0.160225i
\(438\) 41.5880i 1.98715i
\(439\) 0.403179 + 1.50468i 0.0192427 + 0.0718146i 0.974880 0.222733i \(-0.0714978\pi\)
−0.955637 + 0.294547i \(0.904831\pi\)
\(440\) −7.82843 + 0.334481i −0.373206 + 0.0159458i
\(441\) −20.8166 + 36.0554i −0.991266 + 1.71692i
\(442\) −3.97821 + 2.29682i −0.189224 + 0.109249i
\(443\) 1.05231 1.05231i 0.0499967 0.0499967i −0.681666 0.731663i \(-0.738744\pi\)
0.731663 + 0.681666i \(0.238744\pi\)
\(444\) 12.8879 16.0301i 0.611632 0.760754i
\(445\) 4.11021 18.4584i 0.194842 0.875014i
\(446\) −4.52762 + 16.8973i −0.214389 + 0.800110i
\(447\) −11.5796 + 3.10275i −0.547697 + 0.146755i
\(448\) −0.371808 1.38761i −0.0175663 0.0655583i
\(449\) −5.25870 + 1.40906i −0.248173 + 0.0664979i −0.380761 0.924673i \(-0.624338\pi\)
0.132588 + 0.991171i \(0.457671\pi\)
\(450\) 38.1860 + 17.8932i 1.80011 + 0.843495i
\(451\) −6.87709 + 11.9115i −0.323830 + 0.560889i
\(452\) 15.1580i 0.712971i
\(453\) −2.10053 + 7.83927i −0.0986913 + 0.368321i
\(454\) 18.5204i 0.869205i
\(455\) −3.29961 + 14.8182i −0.154688 + 0.694686i
\(456\) −4.96905 8.60664i −0.232697 0.403043i
\(457\) −7.53632 4.35110i −0.352534 0.203536i 0.313267 0.949665i \(-0.398577\pi\)
−0.665801 + 0.746129i \(0.731910\pi\)
\(458\) 3.51672i 0.164325i
\(459\) −17.2517 4.62259i −0.805242 0.215764i
\(460\) −8.72922 4.55450i −0.407002 0.212355i
\(461\) −2.50982 0.672506i −0.116894 0.0313217i 0.199898 0.979817i \(-0.435939\pi\)
−0.316792 + 0.948495i \(0.602606\pi\)
\(462\) 8.51098 14.7414i 0.395966 0.685834i
\(463\) −10.4928 + 18.1740i −0.487641 + 0.844618i −0.999899 0.0142131i \(-0.995476\pi\)
0.512258 + 0.858831i \(0.328809\pi\)
\(464\) −10.2221 2.73899i −0.474548 0.127155i
\(465\) 34.7176 + 18.1140i 1.60999 + 0.840018i
\(466\) −14.3269 3.83887i −0.663679 0.177832i
\(467\) 18.2736i 0.845603i 0.906222 + 0.422801i \(0.138953\pi\)
−0.906222 + 0.422801i \(0.861047\pi\)
\(468\) −34.5194 19.9298i −1.59566 0.921255i
\(469\) −1.42395 2.46636i −0.0657520 0.113886i
\(470\) 4.94656 22.2144i 0.228168 1.02468i
\(471\) 59.3578i 2.73507i
\(472\) −1.29704 + 4.84063i −0.0597012 + 0.222808i
\(473\) 7.20246i 0.331169i
\(474\) −4.12250 + 7.14038i −0.189353 + 0.327969i
\(475\) 13.8182 5.00025i 0.634024 0.229427i
\(476\) −1.34874 + 0.361394i −0.0618195 + 0.0165645i
\(477\) −2.89559 10.8065i −0.132580 0.494796i
\(478\) −19.0666 + 5.10887i −0.872085 + 0.233674i
\(479\) −2.37853 + 8.87679i −0.108678 + 0.405591i −0.998736 0.0502551i \(-0.983997\pi\)
0.890059 + 0.455846i \(0.150663\pi\)
\(480\) −1.64341 + 7.38035i −0.0750110 + 0.336865i
\(481\) −16.9788 23.1975i −0.774168 1.05771i
\(482\) −3.00726 + 3.00726i −0.136977 + 0.136977i
\(483\) 18.5237 10.6946i 0.842856 0.486623i
\(484\) 0.639625 1.10786i 0.0290738 0.0503574i
\(485\) −8.98912 + 0.384073i −0.408175 + 0.0174399i
\(486\) −17.9667 67.0527i −0.814987 3.04157i
\(487\) 29.0662i 1.31711i −0.752531 0.658557i \(-0.771167\pi\)
0.752531 0.658557i \(-0.228833\pi\)
\(488\) −1.28615 + 0.344624i −0.0582215 + 0.0156004i
\(489\) −3.74730 3.74730i −0.169459 0.169459i
\(490\) 5.10587 9.78599i 0.230660 0.442086i
\(491\) 13.6903 0.617836 0.308918 0.951089i \(-0.400033\pi\)
0.308918 + 0.951089i \(0.400033\pi\)
\(492\) 9.38501 + 9.38501i 0.423109 + 0.423109i
\(493\) −2.66228 + 9.93576i −0.119903 + 0.447484i
\(494\) −13.4166 + 3.59496i −0.603640 + 0.161745i
\(495\) −55.7693 + 35.4559i −2.50665 + 1.59362i
\(496\) −1.34043 + 5.00254i −0.0601869 + 0.224621i
\(497\) 10.6490 + 2.85339i 0.477672 + 0.127992i
\(498\) −5.93131 10.2733i −0.265788 0.460359i
\(499\) −3.66772 13.6881i −0.164190 0.612765i −0.998142 0.0609282i \(-0.980594\pi\)
0.833952 0.551836i \(-0.186073\pi\)
\(500\) −10.3173 4.30742i −0.461403 0.192634i
\(501\) 13.3138 49.6878i 0.594817 2.21989i
\(502\) −6.40556 + 23.9059i −0.285894 + 1.06697i
\(503\) −9.38391 16.2534i −0.418408 0.724704i 0.577372 0.816482i \(-0.304078\pi\)
−0.995780 + 0.0917777i \(0.970745\pi\)
\(504\) −8.56733 8.56733i −0.381619 0.381619i
\(505\) −8.95939 + 0.382803i −0.398688 + 0.0170345i
\(506\) 13.3625 7.71487i 0.594038 0.342968i
\(507\) −22.3208 + 22.3208i −0.991302 + 0.991302i
\(508\) −1.88376 + 1.88376i −0.0835782 + 0.0835782i
\(509\) −12.9359 22.4056i −0.573372 0.993110i −0.996216 0.0869073i \(-0.972302\pi\)
0.422844 0.906202i \(-0.361032\pi\)
\(510\) 7.17364 + 1.59738i 0.317654 + 0.0707331i
\(511\) 15.3011 + 8.83407i 0.676879 + 0.390796i
\(512\) −1.00000 −0.0441942
\(513\) −46.7692 27.0022i −2.06491 1.19218i
\(514\) 11.0066 + 6.35464i 0.485478 + 0.280291i
\(515\) −23.7708 + 1.01564i −1.04747 + 0.0447546i
\(516\) −6.71335 1.79884i −0.295539 0.0791894i
\(517\) 25.2191 + 25.2191i 1.10913 + 1.10913i
\(518\) −3.16016 8.14679i −0.138849 0.357949i
\(519\) 71.5946i 3.14265i
\(520\) 9.36910 + 4.88836i 0.410862 + 0.214369i
\(521\) −27.8533 16.0811i −1.22027 0.704525i −0.255297 0.966863i \(-0.582173\pi\)
−0.964976 + 0.262337i \(0.915507\pi\)
\(522\) −86.2137 + 23.1009i −3.77347 + 1.01110i
\(523\) 0.986968 1.70948i 0.0431571 0.0747503i −0.843640 0.536909i \(-0.819592\pi\)
0.886797 + 0.462159i \(0.152925\pi\)
\(524\) −13.4747 13.4747i −0.588645 0.588645i
\(525\) 19.9216 13.8939i 0.869450 0.606381i
\(526\) 19.4030 19.4030i 0.846010 0.846010i
\(527\) 4.86242 + 1.30288i 0.211810 + 0.0567544i
\(528\) −8.37860 8.37860i −0.364632 0.364632i
\(529\) −3.61146 −0.157020
\(530\) 0.889290 + 2.82967i 0.0386283 + 0.122913i
\(531\) 10.9394 + 40.8262i 0.474728 + 1.77171i
\(532\) −4.22207 −0.183050
\(533\) 16.0648 9.27500i 0.695843 0.401745i
\(534\) 24.7657 14.2985i 1.07171 0.618755i
\(535\) 24.8340 7.80466i 1.07367 0.337425i
\(536\) −1.91490 + 0.513096i −0.0827111 + 0.0221624i
\(537\) 3.81673 + 2.20359i 0.164704 + 0.0950919i
\(538\) −24.5460 + 14.1716i −1.05825 + 0.610983i
\(539\) 8.64884 + 14.9802i 0.372532 + 0.645244i
\(540\) 12.3187 + 39.1975i 0.530114 + 1.68679i
\(541\) 18.3493 18.3493i 0.788896 0.788896i −0.192417 0.981313i \(-0.561633\pi\)
0.981313 + 0.192417i \(0.0616326\pi\)
\(542\) 8.06381 13.9669i 0.346370 0.599931i
\(543\) 14.9730 + 4.01200i 0.642552 + 0.172171i
\(544\) 0.971991i 0.0416738i
\(545\) 0.485347 + 0.108074i 0.0207900 + 0.00462938i
\(546\) −19.8815 + 11.4786i −0.850850 + 0.491238i
\(547\) 25.4508 1.08820 0.544100 0.839021i \(-0.316871\pi\)
0.544100 + 0.839021i \(0.316871\pi\)
\(548\) 1.30473 + 4.86932i 0.0557354 + 0.208007i
\(549\) −7.94094 + 7.94094i −0.338911 + 0.338911i
\(550\) 14.3710 10.0228i 0.612781 0.427372i
\(551\) −15.5513 + 26.9357i −0.662509 + 1.14750i
\(552\) −3.85362 14.3819i −0.164021 0.612135i
\(553\) 1.75139 + 3.03350i 0.0744768 + 0.128998i
\(554\) −9.50595 −0.403869
\(555\) −5.08848 + 45.7101i −0.215994 + 1.94028i
\(556\) 12.6251 0.535425
\(557\) −3.24385 5.61851i −0.137446 0.238064i 0.789083 0.614287i \(-0.210556\pi\)
−0.926529 + 0.376223i \(0.877223\pi\)
\(558\) 11.3053 + 42.1918i 0.478590 + 1.78612i
\(559\) −4.85691 + 8.41241i −0.205425 + 0.355807i
\(560\) 2.36629 + 2.17237i 0.0999938 + 0.0917992i
\(561\) −8.14393 + 8.14393i −0.343837 + 0.343837i
\(562\) 4.25345 + 15.8741i 0.179421 + 0.669607i
\(563\) 42.7468 1.80156 0.900781 0.434274i \(-0.142995\pi\)
0.900781 + 0.434274i \(0.142995\pi\)
\(564\) 29.8050 17.2080i 1.25502 0.724586i
\(565\) −18.1847 28.6031i −0.765036 1.20334i
\(566\) 6.30467i 0.265005i
\(567\) −51.1076 13.6942i −2.14632 0.575104i
\(568\) 3.83717 6.64618i 0.161004 0.278867i
\(569\) 14.2239 14.2239i 0.596296 0.596296i −0.343029 0.939325i \(-0.611453\pi\)
0.939325 + 0.343029i \(0.111453\pi\)
\(570\) 19.7018 + 10.2795i 0.825218 + 0.430560i
\(571\) 3.21182 + 5.56303i 0.134410 + 0.232806i 0.925372 0.379060i \(-0.123753\pi\)
−0.790962 + 0.611866i \(0.790419\pi\)
\(572\) −14.3421 + 8.28039i −0.599672 + 0.346221i
\(573\) 6.11996 + 3.53336i 0.255665 + 0.147608i
\(574\) 5.44648 1.45938i 0.227332 0.0609133i
\(575\) 21.9360 1.87792i 0.914793 0.0783148i
\(576\) −7.30413 + 4.21704i −0.304339 + 0.175710i
\(577\) 13.0854 7.55484i 0.544751 0.314512i −0.202251 0.979334i \(-0.564826\pi\)
0.747002 + 0.664821i \(0.231492\pi\)
\(578\) −16.0552 −0.667810
\(579\) 8.18609 + 30.5509i 0.340202 + 1.26965i
\(580\) 22.5750 7.09471i 0.937374 0.294592i
\(581\) −5.03968 −0.209081
\(582\) −9.62085 9.62085i −0.398797 0.398797i
\(583\) −4.48986 1.20306i −0.185951 0.0498255i
\(584\) 8.69667 8.69667i 0.359871 0.359871i
\(585\) 89.0475 3.80468i 3.68166 0.157304i
\(586\) 0.283790 + 0.283790i 0.0117233 + 0.0117233i
\(587\) 2.10966 3.65404i 0.0870751 0.150818i −0.819198 0.573510i \(-0.805581\pi\)
0.906274 + 0.422692i \(0.138915\pi\)
\(588\) 16.1230 4.32015i 0.664902 0.178160i
\(589\) 13.1820 + 7.61061i 0.543153 + 0.313590i
\(590\) −3.35968 10.6903i −0.138316 0.440113i
\(591\) 29.9469i 1.23185i
\(592\) −6.04717 + 0.657081i −0.248537 + 0.0270058i
\(593\) −19.1963 19.1963i −0.788298 0.788298i 0.192917 0.981215i \(-0.438205\pi\)
−0.981215 + 0.192917i \(0.938205\pi\)
\(594\) −62.1951 16.6651i −2.55190 0.683778i
\(595\) 2.11152 2.30001i 0.0865639 0.0942912i
\(596\) 3.07030 + 1.77264i 0.125764 + 0.0726100i
\(597\) −48.1205 27.7824i −1.96944 1.13706i
\(598\) −20.8098 −0.850976
\(599\) 2.18083 + 1.25910i 0.0891062 + 0.0514455i 0.543891 0.839156i \(-0.316950\pi\)
−0.454785 + 0.890601i \(0.650284\pi\)
\(600\) −5.75294 15.8983i −0.234863 0.649045i
\(601\) 9.51906 + 16.4875i 0.388291 + 0.672539i 0.992220 0.124499i \(-0.0397324\pi\)
−0.603929 + 0.797038i \(0.706399\pi\)
\(602\) −2.08787 + 2.08787i −0.0850951 + 0.0850951i
\(603\) −11.8229 + 11.8229i −0.481467 + 0.481467i
\(604\) 2.07856 1.20006i 0.0845753 0.0488296i
\(605\) 0.122107 + 2.85788i 0.00496436 + 0.116189i
\(606\) −9.58904 9.58904i −0.389528 0.389528i
\(607\) −9.01879 15.6210i −0.366061 0.634037i 0.622884 0.782314i \(-0.285961\pi\)
−0.988946 + 0.148277i \(0.952627\pi\)
\(608\) −0.760674 + 2.83888i −0.0308494 + 0.115132i
\(609\) −13.3050 + 49.6549i −0.539146 + 2.01212i
\(610\) 2.01354 2.19328i 0.0815257 0.0888032i
\(611\) −12.4494 46.4620i −0.503651 1.87965i
\(612\) 4.09892 + 7.09955i 0.165689 + 0.286982i
\(613\) 5.21096 + 1.39627i 0.210469 + 0.0563949i 0.362513 0.931979i \(-0.381919\pi\)
−0.152044 + 0.988374i \(0.548586\pi\)
\(614\) −7.57292 + 28.2625i −0.305618 + 1.14058i
\(615\) −28.9685 6.45052i −1.16812 0.260110i
\(616\) −4.86242 + 1.30288i −0.195913 + 0.0524946i
\(617\) 3.09849 11.5637i 0.124741 0.465538i −0.875090 0.483961i \(-0.839198\pi\)
0.999830 + 0.0184227i \(0.00586446\pi\)
\(618\) −25.4414 25.4414i −1.02340 1.02340i
\(619\) 30.2107 1.21427 0.607135 0.794598i \(-0.292319\pi\)
0.607135 + 0.794598i \(0.292319\pi\)
\(620\) −3.47206 11.0479i −0.139441 0.443693i
\(621\) −57.2116 57.2116i −2.29582 2.29582i
\(622\) −7.62862 + 2.04408i −0.305880 + 0.0819602i
\(623\) 12.1490i 0.486741i
\(624\) 4.13611 + 15.4362i 0.165577 + 0.617941i
\(625\) 24.6362 4.24932i 0.985449 0.169973i
\(626\) 14.1499 24.5084i 0.565545 0.979553i
\(627\) −30.1592 + 17.4124i −1.20444 + 0.695385i
\(628\) 12.4126 12.4126i 0.495316 0.495316i
\(629\) 0.638677 + 5.87779i 0.0254657 + 0.234363i
\(630\) 26.4446 + 5.88851i 1.05358 + 0.234604i
\(631\) 0.702127 2.62037i 0.0279512 0.104315i −0.950541 0.310599i \(-0.899470\pi\)
0.978492 + 0.206284i \(0.0661370\pi\)
\(632\) 2.35523 0.631083i 0.0936862 0.0251031i
\(633\) 2.64786 + 9.88194i 0.105243 + 0.392772i
\(634\) 1.88918 0.506204i 0.0750289 0.0201039i
\(635\) 1.29475 5.81455i 0.0513804 0.230743i
\(636\) −2.24272 + 3.88450i −0.0889294 + 0.154030i
\(637\) 23.3290i 0.924330i
\(638\) −9.59792 + 35.8199i −0.379985 + 1.41812i
\(639\) 64.7260i 2.56052i
\(640\) 1.88700 1.19968i 0.0745902 0.0474215i
\(641\) 22.6822 + 39.2868i 0.895895 + 1.55174i 0.832693 + 0.553734i \(0.186798\pi\)
0.0632015 + 0.998001i \(0.479869\pi\)
\(642\) 34.0914 + 19.6827i 1.34548 + 0.776814i
\(643\) 39.8599i 1.57192i −0.618276 0.785961i \(-0.712168\pi\)
0.618276 0.785961i \(-0.287832\pi\)
\(644\) −6.10997 1.63716i −0.240767 0.0645132i
\(645\) 14.8261 4.65946i 0.583778 0.183466i
\(646\) 2.75936 + 0.739369i 0.108566 + 0.0290901i
\(647\) −6.86778 + 11.8953i −0.270000 + 0.467654i −0.968862 0.247603i \(-0.920357\pi\)
0.698861 + 0.715257i \(0.253690\pi\)
\(648\) −18.4157 + 31.8970i −0.723438 + 1.25303i
\(649\) 16.9624 + 4.54506i 0.665833 + 0.178409i
\(650\) −23.5440 + 2.01558i −0.923470 + 0.0790575i
\(651\) 24.3004 + 6.51128i 0.952409 + 0.255197i
\(652\) 1.56723i 0.0613775i
\(653\) 42.4731 + 24.5219i 1.66210 + 0.959614i 0.971710 + 0.236178i \(0.0758947\pi\)
0.690391 + 0.723437i \(0.257439\pi\)
\(654\) 0.375964 + 0.651189i 0.0147014 + 0.0254635i
\(655\) 41.5921 + 9.26145i 1.62514 + 0.361875i
\(656\) 3.92508i 0.153249i
\(657\) 26.8474 100.196i 1.04742 3.90901i
\(658\) 14.6212i 0.569992i
\(659\) 12.3022 21.3080i 0.479226 0.830043i −0.520491 0.853867i \(-0.674251\pi\)
0.999716 + 0.0238243i \(0.00758424\pi\)
\(660\) 25.8621 + 5.75879i 1.00668 + 0.224161i
\(661\) 27.3954 7.34058i 1.06556 0.285515i 0.316891 0.948462i \(-0.397361\pi\)
0.748667 + 0.662947i \(0.230694\pi\)
\(662\) 1.61772 + 6.03742i 0.0628745 + 0.234651i
\(663\) 15.0038 4.02026i 0.582700 0.156134i
\(664\) −0.907980 + 3.38863i −0.0352364 + 0.131504i
\(665\) 7.96705 5.06513i 0.308949 0.196417i
\(666\) −41.3983 + 30.3005i −1.60415 + 1.17412i
\(667\) −32.9498 + 32.9498i −1.27582 + 1.27582i
\(668\) −13.1746 + 7.60634i −0.509739 + 0.294298i
\(669\) 29.5763 51.2277i 1.14349 1.98058i
\(670\) 2.99787 3.26548i 0.115818 0.126156i
\(671\) 1.20762 + 4.50691i 0.0466198 + 0.173987i
\(672\) 4.85762i 0.187387i
\(673\) −38.3933 + 10.2874i −1.47995 + 0.396552i −0.906331 0.422569i \(-0.861128\pi\)
−0.573621 + 0.819121i \(0.694462\pi\)
\(674\) 11.6182 + 11.6182i 0.447518 + 0.447518i
\(675\) −70.2699 59.1872i −2.70469 2.27812i
\(676\) 9.33521 0.359047
\(677\) −32.3047 32.3047i −1.24157 1.24157i −0.959349 0.282222i \(-0.908929\pi\)
−0.282222 0.959349i \(-0.591071\pi\)
\(678\) 13.2659 49.5091i 0.509475 1.90139i
\(679\) −5.58335 + 1.49605i −0.214269 + 0.0574133i
\(680\) −1.16608 1.83415i −0.0447170 0.0703364i
\(681\) −16.2086 + 60.4915i −0.621117 + 2.31804i
\(682\) 17.5298 + 4.69709i 0.671250 + 0.179861i
\(683\) 0.929575 + 1.61007i 0.0355692 + 0.0616077i 0.883262 0.468880i \(-0.155342\pi\)
−0.847693 + 0.530487i \(0.822009\pi\)
\(684\) 6.41559 + 23.9433i 0.245306 + 0.915495i
\(685\) −8.30365 7.62316i −0.317266 0.291266i
\(686\) 4.43802 16.5629i 0.169444 0.632375i
\(687\) −3.07775 + 11.4863i −0.117424 + 0.438231i
\(688\) 1.02770 + 1.78002i 0.0391806 + 0.0678627i
\(689\) 4.43286 + 4.43286i 0.168878 + 0.168878i
\(690\) 24.5255 + 22.5156i 0.933669 + 0.857154i
\(691\) 3.86457 2.23121i 0.147015 0.0848793i −0.424688 0.905340i \(-0.639616\pi\)
0.571703 + 0.820460i \(0.306283\pi\)
\(692\) −14.9715 + 14.9715i −0.569130 + 0.569130i
\(693\) −30.0214 + 30.0214i −1.14042 + 1.14042i
\(694\) −17.0433 29.5199i −0.646956 1.12056i
\(695\) −23.8236 + 15.1461i −0.903682 + 0.574525i
\(696\) 30.9903 + 17.8923i 1.17469 + 0.678205i
\(697\) −3.81515 −0.144509
\(698\) 10.0882 + 5.82443i 0.381844 + 0.220458i
\(699\) 43.4349 + 25.0771i 1.64286 + 0.948504i
\(700\) −7.07132 1.26047i −0.267271 0.0476413i
\(701\) −20.2624 5.42929i −0.765300 0.205061i −0.145006 0.989431i \(-0.546320\pi\)
−0.620294 + 0.784369i \(0.712987\pi\)
\(702\) 61.4054 + 61.4054i 2.31760 + 2.31760i
\(703\) −2.73456 + 17.6670i −0.103136 + 0.666323i
\(704\) 3.50418i 0.132069i
\(705\) −35.5981 + 68.2279i −1.34070 + 2.56961i
\(706\) −5.24895 3.03048i −0.197547 0.114054i
\(707\) −5.56489 + 1.49111i −0.209289 + 0.0560788i
\(708\) 8.47283 14.6754i 0.318428 0.551534i
\(709\) −29.2845 29.2845i −1.09980 1.09980i −0.994433 0.105371i \(-0.966397\pi\)
−0.105371 0.994433i \(-0.533603\pi\)
\(710\) 0.732533 + 17.1447i 0.0274915 + 0.643430i
\(711\) 14.5416 14.5416i 0.545354 0.545354i
\(712\) −8.16888 2.18884i −0.306142 0.0820304i
\(713\) 16.1252 + 16.1252i 0.603892 + 0.603892i
\(714\) 4.72156 0.176700
\(715\) 17.1297 32.8310i 0.640613 1.22781i
\(716\) −0.337331 1.25894i −0.0126066 0.0470487i
\(717\) 66.7467 2.49270
\(718\) −27.6997 + 15.9924i −1.03374 + 0.596831i
\(719\) −27.3472 + 15.7889i −1.01988 + 0.588826i −0.914068 0.405560i \(-0.867077\pi\)
−0.105809 + 0.994386i \(0.533743\pi\)
\(720\) 8.72379 16.7202i 0.325117 0.623124i
\(721\) −14.7646 + 3.95617i −0.549863 + 0.147335i
\(722\) −8.97389 5.18108i −0.333974 0.192820i
\(723\) 12.4542 7.19045i 0.463177 0.267416i
\(724\) −2.29210 3.97004i −0.0851853 0.147545i
\(725\) −34.0876 + 40.4704i −1.26598 + 1.50303i
\(726\) −3.05873 + 3.05873i −0.113520 + 0.113520i
\(727\) −25.0660 + 43.4156i −0.929647 + 1.61020i −0.145734 + 0.989324i \(0.546554\pi\)
−0.783912 + 0.620872i \(0.786779\pi\)
\(728\) 6.55785 + 1.75717i 0.243050 + 0.0651251i
\(729\) 124.238i 4.60141i
\(730\) −5.97741 + 26.8438i −0.221234 + 0.993534i
\(731\) 1.73017 0.998912i 0.0639925 0.0369461i
\(732\) 4.50246 0.166416
\(733\) −7.99651 29.8434i −0.295358 1.10229i −0.940933 0.338594i \(-0.890049\pi\)
0.645575 0.763697i \(-0.276618\pi\)
\(734\) 9.29420 9.29420i 0.343055 0.343055i
\(735\) −25.2413 + 27.4946i −0.931041 + 1.01415i
\(736\) −2.20162 + 3.81332i −0.0811528 + 0.140561i
\(737\) 1.79798 + 6.71015i 0.0662294 + 0.247171i
\(738\) −16.5522 28.6693i −0.609296 1.05533i
\(739\) 12.6410 0.465008 0.232504 0.972595i \(-0.425308\pi\)
0.232504 + 0.972595i \(0.425308\pi\)
\(740\) 10.6227 8.49457i 0.390499 0.312267i
\(741\) 46.9676 1.72540
\(742\) 0.952788 + 1.65028i 0.0349780 + 0.0605836i
\(743\) −6.29439 23.4910i −0.230919 0.861801i −0.979946 0.199262i \(-0.936146\pi\)
0.749027 0.662539i \(-0.230521\pi\)
\(744\) 8.75623 15.1662i 0.321019 0.556021i
\(745\) −7.92024 + 0.338404i −0.290175 + 0.0123982i
\(746\) −16.2338 + 16.2338i −0.594361 + 0.594361i
\(747\) 7.65797 + 28.5799i 0.280190 + 1.04568i
\(748\) 3.40603 0.124537
\(749\) 14.4833 8.36194i 0.529209 0.305539i
\(750\) 29.9286 + 23.0984i 1.09284 + 0.843434i
\(751\) 2.01126i 0.0733919i −0.999326 0.0366959i \(-0.988317\pi\)
0.999326 0.0366959i \(-0.0116833\pi\)
\(752\) −9.83111 2.63424i −0.358504 0.0960607i
\(753\) 41.8438 72.4757i 1.52487 2.64116i
\(754\) 35.3651 35.3651i 1.28792 1.28792i
\(755\) −2.48256 + 4.75811i −0.0903495 + 0.173165i
\(756\) 13.1983 + 22.8602i 0.480019 + 0.831417i
\(757\) 23.6621 13.6613i 0.860014 0.496529i −0.00400317 0.999992i \(-0.501274\pi\)
0.864017 + 0.503463i \(0.167941\pi\)
\(758\) −9.34232 5.39379i −0.339328 0.195911i
\(759\) −50.3968 + 13.5038i −1.82929 + 0.490156i
\(760\) −1.97035 6.26952i −0.0714720 0.227420i
\(761\) −4.73002 + 2.73088i −0.171463 + 0.0989942i −0.583275 0.812274i \(-0.698229\pi\)
0.411813 + 0.911269i \(0.364896\pi\)
\(762\) 7.80137 4.50412i 0.282614 0.163167i
\(763\) 0.319447 0.0115648
\(764\) −0.540896 2.01865i −0.0195689 0.0730322i
\(765\) −16.2518 8.47945i −0.587587 0.306575i
\(766\) 29.0905 1.05108
\(767\) −16.7470 16.7470i −0.604700 0.604700i
\(768\) 3.26621 + 0.875179i 0.117859 + 0.0315803i
\(769\) −24.5717 + 24.5717i −0.886078 + 0.886078i −0.994144 0.108065i \(-0.965534\pi\)
0.108065 + 0.994144i \(0.465534\pi\)
\(770\) 7.61235 8.29188i 0.274330 0.298819i
\(771\) −30.3883 30.3883i −1.09441 1.09441i
\(772\)