Properties

Label 819.2.fy.a.50.17
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.17
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.503059 - 1.87744i) q^{2} +(1.45910 + 0.933282i) q^{3} +(-1.53967 + 0.888931i) q^{4} +(0.750845 + 2.80219i) q^{5} +(1.01817 - 3.20888i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(-0.305303 - 0.305303i) q^{8} +(1.25797 + 2.72351i) q^{9} +O(q^{10})\) \(q+(-0.503059 - 1.87744i) q^{2} +(1.45910 + 0.933282i) q^{3} +(-1.53967 + 0.888931i) q^{4} +(0.750845 + 2.80219i) q^{5} +(1.01817 - 3.20888i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(-0.305303 - 0.305303i) q^{8} +(1.25797 + 2.72351i) q^{9} +(4.88324 - 2.81934i) q^{10} +(2.05601 - 0.550905i) q^{11} +(-3.07617 - 0.139908i) q^{12} +(3.00559 + 1.99159i) q^{13} +(1.68327 + 0.971836i) q^{14} +(-1.51968 + 4.78944i) q^{15} +(-2.19747 + 3.80612i) q^{16} +(-2.37493 + 4.11351i) q^{17} +(4.48041 - 3.73185i) q^{18} +(-8.22001 + 2.20255i) q^{19} +(-3.64701 - 3.64701i) q^{20} +(-1.69167 + 0.371812i) q^{21} +(-2.06859 - 3.58290i) q^{22} +0.121815 q^{23} +(-0.160535 - 0.730404i) q^{24} +(-2.95839 + 1.70803i) q^{25} +(2.22710 - 6.64471i) q^{26} +(-0.706300 + 5.14793i) q^{27} +(0.460144 - 1.71728i) q^{28} +(-6.40588 - 3.69843i) q^{29} +(9.75639 + 0.443732i) q^{30} +(6.32049 - 1.69357i) q^{31} +(7.41713 + 1.98741i) q^{32} +(3.51408 + 1.11501i) q^{33} +(8.91761 + 2.38947i) q^{34} +(-2.51238 - 1.45052i) q^{35} +(-4.35787 - 3.07507i) q^{36} +(2.84429 + 0.762126i) q^{37} +(8.27031 + 14.3246i) q^{38} +(2.52676 + 5.71100i) q^{39} +(0.626283 - 1.08475i) q^{40} +(3.55143 - 3.55143i) q^{41} +(1.54907 + 2.98898i) q^{42} +11.6516i q^{43} +(-2.67586 + 2.67586i) q^{44} +(-6.68727 + 5.57001i) q^{45} +(-0.0612800 - 0.228700i) q^{46} +(1.74850 - 6.52548i) q^{47} +(-6.75852 + 3.50267i) q^{48} -1.00000i q^{49} +(4.69497 + 4.69497i) q^{50} +(-7.30434 + 3.78555i) q^{51} +(-6.39801 - 0.394630i) q^{52} -10.4315i q^{53} +(10.0202 - 1.26367i) q^{54} +(3.08749 + 5.34768i) q^{55} +0.431764 q^{56} +(-14.0494 - 4.45785i) q^{57} +(-3.72106 + 13.8872i) q^{58} +(-0.0332871 + 0.124229i) q^{59} +(-1.91768 - 8.72506i) q^{60} +13.9499 q^{61} +(-6.35916 - 11.0144i) q^{62} +(-2.81533 - 1.03630i) q^{63} -6.13516i q^{64} +(-3.32408 + 9.91762i) q^{65} +(0.325572 - 7.15840i) q^{66} +(3.95286 + 3.95286i) q^{67} -8.44461i q^{68} +(0.177740 + 0.113687i) q^{69} +(-1.45940 + 5.44654i) q^{70} +(1.41223 + 5.27050i) q^{71} +(0.447435 - 1.21556i) q^{72} +(8.94724 - 8.94724i) q^{73} -5.72339i q^{74} +(-5.91067 - 0.268824i) q^{75} +(10.6982 - 10.6982i) q^{76} +(-1.06427 + 1.84337i) q^{77} +(9.45097 - 7.61681i) q^{78} +(6.85731 + 11.8772i) q^{79} +(-12.3154 - 3.29991i) q^{80} +(-5.83503 + 6.85218i) q^{81} +(-8.45418 - 4.88102i) q^{82} +(3.05531 + 0.818667i) q^{83} +(2.27411 - 2.07625i) q^{84} +(-13.3101 - 3.56642i) q^{85} +(21.8753 - 5.86147i) q^{86} +(-5.89515 - 11.3749i) q^{87} +(-0.795899 - 0.459512i) q^{88} +(3.93078 - 14.6699i) q^{89} +(13.8215 + 9.75292i) q^{90} +(-3.53354 + 0.717010i) q^{91} +(-0.187555 + 0.108285i) q^{92} +(10.8028 + 3.42771i) q^{93} -13.1308 q^{94} +(-12.3439 - 21.3803i) q^{95} +(8.96754 + 9.82212i) q^{96} +(-8.04643 - 8.04643i) q^{97} +(-1.87744 + 0.503059i) q^{98} +(4.08679 + 4.90654i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.503059 1.87744i −0.355717 1.32755i −0.879580 0.475751i \(-0.842176\pi\)
0.523864 0.851802i \(-0.324490\pi\)
\(3\) 1.45910 + 0.933282i 0.842414 + 0.538831i
\(4\) −1.53967 + 0.888931i −0.769837 + 0.444465i
\(5\) 0.750845 + 2.80219i 0.335788 + 1.25318i 0.903012 + 0.429615i \(0.141351\pi\)
−0.567224 + 0.823564i \(0.691983\pi\)
\(6\) 1.01817 3.20888i 0.415666 1.31002i
\(7\) −0.707107 + 0.707107i −0.267261 + 0.267261i
\(8\) −0.305303 0.305303i −0.107941 0.107941i
\(9\) 1.25797 + 2.72351i 0.419323 + 0.907837i
\(10\) 4.88324 2.81934i 1.54422 0.891553i
\(11\) 2.05601 0.550905i 0.619909 0.166104i 0.0648228 0.997897i \(-0.479352\pi\)
0.555087 + 0.831793i \(0.312685\pi\)
\(12\) −3.07617 0.139908i −0.888013 0.0403879i
\(13\) 3.00559 + 1.99159i 0.833601 + 0.552367i
\(14\) 1.68327 + 0.971836i 0.449873 + 0.259734i
\(15\) −1.51968 + 4.78944i −0.392379 + 1.23663i
\(16\) −2.19747 + 3.80612i −0.549366 + 0.951531i
\(17\) −2.37493 + 4.11351i −0.576006 + 0.997672i 0.419925 + 0.907559i \(0.362056\pi\)
−0.995932 + 0.0901134i \(0.971277\pi\)
\(18\) 4.48041 3.73185i 1.05604 0.879606i
\(19\) −8.22001 + 2.20255i −1.88580 + 0.505299i −0.886725 + 0.462297i \(0.847025\pi\)
−0.999075 + 0.0430019i \(0.986308\pi\)
\(20\) −3.64701 3.64701i −0.815497 0.815497i
\(21\) −1.69167 + 0.371812i −0.369153 + 0.0811360i
\(22\) −2.06859 3.58290i −0.441024 0.763876i
\(23\) 0.121815 0.0254001 0.0127000 0.999919i \(-0.495957\pi\)
0.0127000 + 0.999919i \(0.495957\pi\)
\(24\) −0.160535 0.730404i −0.0327691 0.149093i
\(25\) −2.95839 + 1.70803i −0.591678 + 0.341606i
\(26\) 2.22710 6.64471i 0.436770 1.30314i
\(27\) −0.706300 + 5.14793i −0.135927 + 0.990719i
\(28\) 0.460144 1.71728i 0.0869591 0.324536i
\(29\) −6.40588 3.69843i −1.18954 0.686782i −0.231339 0.972873i \(-0.574311\pi\)
−0.958202 + 0.286091i \(0.907644\pi\)
\(30\) 9.75639 + 0.443732i 1.78127 + 0.0810140i
\(31\) 6.32049 1.69357i 1.13519 0.304174i 0.358176 0.933654i \(-0.383399\pi\)
0.777017 + 0.629480i \(0.216732\pi\)
\(32\) 7.41713 + 1.98741i 1.31118 + 0.351328i
\(33\) 3.51408 + 1.11501i 0.611722 + 0.194098i
\(34\) 8.91761 + 2.38947i 1.52936 + 0.409790i
\(35\) −2.51238 1.45052i −0.424669 0.245183i
\(36\) −4.35787 3.07507i −0.726312 0.512512i
\(37\) 2.84429 + 0.762126i 0.467599 + 0.125293i 0.484922 0.874557i \(-0.338848\pi\)
−0.0173236 + 0.999850i \(0.505515\pi\)
\(38\) 8.27031 + 14.3246i 1.34162 + 2.32376i
\(39\) 2.52676 + 5.71100i 0.404605 + 0.914492i
\(40\) 0.626283 1.08475i 0.0990241 0.171515i
\(41\) 3.55143 3.55143i 0.554639 0.554639i −0.373137 0.927776i \(-0.621718\pi\)
0.927776 + 0.373137i \(0.121718\pi\)
\(42\) 1.54907 + 2.98898i 0.239026 + 0.461209i
\(43\) 11.6516i 1.77686i 0.459014 + 0.888429i \(0.348203\pi\)
−0.459014 + 0.888429i \(0.651797\pi\)
\(44\) −2.67586 + 2.67586i −0.403401 + 0.403401i
\(45\) −6.68727 + 5.57001i −0.996879 + 0.830327i
\(46\) −0.0612800 0.228700i −0.00903524 0.0337200i
\(47\) 1.74850 6.52548i 0.255045 0.951840i −0.713021 0.701143i \(-0.752674\pi\)
0.968066 0.250697i \(-0.0806597\pi\)
\(48\) −6.75852 + 3.50267i −0.975508 + 0.505567i
\(49\) 1.00000i 0.142857i
\(50\) 4.69497 + 4.69497i 0.663969 + 0.663969i
\(51\) −7.30434 + 3.78555i −1.02281 + 0.530083i
\(52\) −6.39801 0.394630i −0.887245 0.0547254i
\(53\) 10.4315i 1.43288i −0.697649 0.716440i \(-0.745770\pi\)
0.697649 0.716440i \(-0.254230\pi\)
\(54\) 10.0202 1.26367i 1.36358 0.171964i
\(55\) 3.08749 + 5.34768i 0.416317 + 0.721081i
\(56\) 0.431764 0.0576969
\(57\) −14.0494 4.45785i −1.86090 0.590457i
\(58\) −3.72106 + 13.8872i −0.488600 + 1.82348i
\(59\) −0.0332871 + 0.124229i −0.00433362 + 0.0161733i −0.968059 0.250723i \(-0.919332\pi\)
0.963725 + 0.266897i \(0.0859982\pi\)
\(60\) −1.91768 8.72506i −0.247571 1.12640i
\(61\) 13.9499 1.78610 0.893050 0.449958i \(-0.148561\pi\)
0.893050 + 0.449958i \(0.148561\pi\)
\(62\) −6.35916 11.0144i −0.807614 1.39883i
\(63\) −2.81533 1.03630i −0.354698 0.130561i
\(64\) 6.13516i 0.766895i
\(65\) −3.32408 + 9.91762i −0.412301 + 1.23013i
\(66\) 0.325572 7.15840i 0.0400752 0.881138i
\(67\) 3.95286 + 3.95286i 0.482919 + 0.482919i 0.906063 0.423144i \(-0.139073\pi\)
−0.423144 + 0.906063i \(0.639073\pi\)
\(68\) 8.44461i 1.02406i
\(69\) 0.177740 + 0.113687i 0.0213974 + 0.0136864i
\(70\) −1.45940 + 5.44654i −0.174431 + 0.650987i
\(71\) 1.41223 + 5.27050i 0.167601 + 0.625494i 0.997694 + 0.0678697i \(0.0216202\pi\)
−0.830094 + 0.557624i \(0.811713\pi\)
\(72\) 0.447435 1.21556i 0.0527308 0.143255i
\(73\) 8.94724 8.94724i 1.04719 1.04719i 0.0483650 0.998830i \(-0.484599\pi\)
0.998830 0.0483650i \(-0.0154011\pi\)
\(74\) 5.72339i 0.665331i
\(75\) −5.91067 0.268824i −0.682506 0.0310411i
\(76\) 10.6982 10.6982i 1.22717 1.22717i
\(77\) −1.06427 + 1.84337i −0.121285 + 0.210071i
\(78\) 9.45097 7.61681i 1.07011 0.862434i
\(79\) 6.85731 + 11.8772i 0.771507 + 1.33629i 0.936737 + 0.350035i \(0.113830\pi\)
−0.165229 + 0.986255i \(0.552836\pi\)
\(80\) −12.3154 3.29991i −1.37691 0.368942i
\(81\) −5.83503 + 6.85218i −0.648337 + 0.761353i
\(82\) −8.45418 4.88102i −0.933608 0.539019i
\(83\) 3.05531 + 0.818667i 0.335364 + 0.0898604i 0.422571 0.906330i \(-0.361128\pi\)
−0.0872075 + 0.996190i \(0.527794\pi\)
\(84\) 2.27411 2.07625i 0.248126 0.226537i
\(85\) −13.3101 3.56642i −1.44368 0.386832i
\(86\) 21.8753 5.86147i 2.35887 0.632058i
\(87\) −5.89515 11.3749i −0.632027 1.21952i
\(88\) −0.795899 0.459512i −0.0848431 0.0489842i
\(89\) 3.93078 14.6699i 0.416661 1.55500i −0.364823 0.931077i \(-0.618870\pi\)
0.781484 0.623925i \(-0.214463\pi\)
\(90\) 13.8215 + 9.75292i 1.45691 + 1.02805i
\(91\) −3.53354 + 0.717010i −0.370416 + 0.0751630i
\(92\) −0.187555 + 0.108285i −0.0195539 + 0.0112895i
\(93\) 10.8028 + 3.42771i 1.12020 + 0.355437i
\(94\) −13.1308 −1.35434
\(95\) −12.3439 21.3803i −1.26646 2.19357i
\(96\) 8.96754 + 9.82212i 0.915246 + 1.00247i
\(97\) −8.04643 8.04643i −0.816991 0.816991i 0.168680 0.985671i \(-0.446050\pi\)
−0.985671 + 0.168680i \(0.946050\pi\)
\(98\) −1.87744 + 0.503059i −0.189650 + 0.0508167i
\(99\) 4.08679 + 4.90654i 0.410738 + 0.493126i
\(100\) 3.03664 5.25961i 0.303664 0.525961i
\(101\) −0.259055 + 0.448696i −0.0257769 + 0.0446470i −0.878626 0.477510i \(-0.841539\pi\)
0.852849 + 0.522157i \(0.174873\pi\)
\(102\) 10.7817 + 11.8091i 1.06754 + 1.16928i
\(103\) 3.72133 + 2.14851i 0.366674 + 0.211699i 0.672004 0.740547i \(-0.265434\pi\)
−0.305330 + 0.952246i \(0.598767\pi\)
\(104\) −0.309579 1.52566i −0.0303567 0.149603i
\(105\) −2.31207 4.46122i −0.225635 0.435370i
\(106\) −19.5846 + 5.24768i −1.90222 + 0.509699i
\(107\) 4.01431 2.31766i 0.388078 0.224057i −0.293249 0.956036i \(-0.594737\pi\)
0.681327 + 0.731979i \(0.261403\pi\)
\(108\) −3.48868 8.55398i −0.335698 0.823107i
\(109\) −6.97660 6.97660i −0.668237 0.668237i 0.289071 0.957308i \(-0.406654\pi\)
−0.957308 + 0.289071i \(0.906654\pi\)
\(110\) 8.48678 8.48678i 0.809183 0.809183i
\(111\) 3.43884 + 3.76655i 0.326400 + 0.357505i
\(112\) −1.13749 4.24518i −0.107483 0.401132i
\(113\) 11.8314 6.83088i 1.11301 0.642595i 0.173401 0.984851i \(-0.444524\pi\)
0.939607 + 0.342256i \(0.111191\pi\)
\(114\) −1.30165 + 28.6196i −0.121911 + 2.68047i
\(115\) 0.0914639 + 0.341348i 0.00852905 + 0.0318309i
\(116\) 13.1506 1.22100
\(117\) −1.64317 + 10.6911i −0.151911 + 0.988394i
\(118\) 0.249979 0.0230124
\(119\) −1.22936 4.58802i −0.112695 0.420583i
\(120\) 1.92619 0.998270i 0.175837 0.0911292i
\(121\) −5.60261 + 3.23467i −0.509328 + 0.294061i
\(122\) −7.01762 26.1901i −0.635345 2.37114i
\(123\) 8.49638 1.86742i 0.766093 0.168379i
\(124\) −8.22602 + 8.22602i −0.738719 + 0.738719i
\(125\) 3.24922 + 3.24922i 0.290619 + 0.290619i
\(126\) −0.529308 + 5.80694i −0.0471545 + 0.517324i
\(127\) −13.4924 + 7.78983i −1.19725 + 0.691235i −0.959942 0.280198i \(-0.909600\pi\)
−0.237313 + 0.971433i \(0.576267\pi\)
\(128\) 3.31584 0.888476i 0.293081 0.0785309i
\(129\) −10.8743 + 17.0010i −0.957426 + 1.49685i
\(130\) 20.2920 + 1.25161i 1.77972 + 0.109774i
\(131\) −8.47136 4.89094i −0.740146 0.427323i 0.0819764 0.996634i \(-0.473877\pi\)
−0.822122 + 0.569311i \(0.807210\pi\)
\(132\) −6.40170 + 1.40703i −0.557196 + 0.122466i
\(133\) 4.25499 7.36986i 0.368955 0.639048i
\(134\) 5.43275 9.40980i 0.469318 0.812883i
\(135\) −14.9558 + 1.88611i −1.28719 + 0.162330i
\(136\) 1.98094 0.530792i 0.169864 0.0455150i
\(137\) 3.60763 + 3.60763i 0.308221 + 0.308221i 0.844219 0.535998i \(-0.180065\pi\)
−0.535998 + 0.844219i \(0.680065\pi\)
\(138\) 0.124028 0.390888i 0.0105579 0.0332746i
\(139\) −0.586906 1.01655i −0.0497807 0.0862228i 0.840061 0.542491i \(-0.182519\pi\)
−0.889842 + 0.456269i \(0.849186\pi\)
\(140\) 5.15765 0.435901
\(141\) 8.64136 7.88951i 0.727734 0.664417i
\(142\) 9.18464 5.30275i 0.770758 0.444997i
\(143\) 7.27669 + 2.43892i 0.608508 + 0.203953i
\(144\) −13.1304 1.19684i −1.09420 0.0997370i
\(145\) 5.55390 20.7275i 0.461227 1.72132i
\(146\) −21.2989 12.2969i −1.76271 1.01770i
\(147\) 0.933282 1.45910i 0.0769758 0.120345i
\(148\) −5.05676 + 1.35495i −0.415663 + 0.111377i
\(149\) −14.9359 4.00206i −1.22360 0.327861i −0.411513 0.911404i \(-0.634999\pi\)
−0.812083 + 0.583543i \(0.801666\pi\)
\(150\) 2.46872 + 11.2322i 0.201570 + 0.917104i
\(151\) −7.95373 2.13120i −0.647266 0.173434i −0.0797734 0.996813i \(-0.525420\pi\)
−0.567492 + 0.823379i \(0.692086\pi\)
\(152\) 3.18204 + 1.83715i 0.258098 + 0.149013i
\(153\) −14.1908 1.29350i −1.14726 0.104573i
\(154\) 3.99620 + 1.07078i 0.322023 + 0.0862859i
\(155\) 9.49142 + 16.4396i 0.762369 + 1.32046i
\(156\) −8.96706 6.54696i −0.717940 0.524176i
\(157\) 0.570350 0.987876i 0.0455189 0.0788411i −0.842368 0.538902i \(-0.818839\pi\)
0.887887 + 0.460061i \(0.152173\pi\)
\(158\) 18.8491 18.8491i 1.49956 1.49956i
\(159\) 9.73556 15.2207i 0.772080 1.20708i
\(160\) 22.2765i 1.76111i
\(161\) −0.0861359 + 0.0861359i −0.00678846 + 0.00678846i
\(162\) 15.7999 + 7.50789i 1.24136 + 0.589875i
\(163\) −3.77706 14.0962i −0.295842 1.10410i −0.940546 0.339665i \(-0.889686\pi\)
0.644705 0.764432i \(-0.276980\pi\)
\(164\) −2.31106 + 8.62501i −0.180464 + 0.673500i
\(165\) −0.485935 + 10.6843i −0.0378300 + 0.831773i
\(166\) 6.14800i 0.477178i
\(167\) −7.93276 7.93276i −0.613855 0.613855i 0.330093 0.943948i \(-0.392920\pi\)
−0.943948 + 0.330093i \(0.892920\pi\)
\(168\) 0.629989 + 0.402958i 0.0486047 + 0.0310889i
\(169\) 5.06716 + 11.9718i 0.389782 + 0.920907i
\(170\) 26.7830i 2.05416i
\(171\) −16.3392 19.6166i −1.24949 1.50012i
\(172\) −10.3575 17.9397i −0.789752 1.36789i
\(173\) −5.94114 −0.451697 −0.225848 0.974162i \(-0.572515\pi\)
−0.225848 + 0.974162i \(0.572515\pi\)
\(174\) −18.3901 + 16.7901i −1.39415 + 1.27285i
\(175\) 0.884140 3.29966i 0.0668347 0.249431i
\(176\) −2.42119 + 9.03601i −0.182504 + 0.681115i
\(177\) −0.164510 + 0.150197i −0.0123654 + 0.0112895i
\(178\) −29.5192 −2.21256
\(179\) −0.925262 1.60260i −0.0691573 0.119784i 0.829373 0.558695i \(-0.188698\pi\)
−0.898531 + 0.438911i \(0.855364\pi\)
\(180\) 5.34486 14.5205i 0.398382 1.08229i
\(181\) 0.165439i 0.0122969i 0.999981 + 0.00614847i \(0.00195713\pi\)
−0.999981 + 0.00614847i \(0.998043\pi\)
\(182\) 3.12372 + 6.27332i 0.231546 + 0.465009i
\(183\) 20.3543 + 13.0192i 1.50464 + 0.962405i
\(184\) −0.0371904 0.0371904i −0.00274171 0.00274171i
\(185\) 8.54250i 0.628057i
\(186\) 1.00086 22.0060i 0.0733866 1.61356i
\(187\) −2.61673 + 9.76576i −0.191354 + 0.714143i
\(188\) 3.10859 + 11.6014i 0.226717 + 0.846119i
\(189\) −3.14070 4.13956i −0.228453 0.301109i
\(190\) −33.9306 + 33.9306i −2.46158 + 2.46158i
\(191\) 15.3567i 1.11117i 0.831460 + 0.555584i \(0.187505\pi\)
−0.831460 + 0.555584i \(0.812495\pi\)
\(192\) 5.72584 8.95184i 0.413227 0.646043i
\(193\) 9.58281 9.58281i 0.689786 0.689786i −0.272399 0.962184i \(-0.587817\pi\)
0.962184 + 0.272399i \(0.0878169\pi\)
\(194\) −11.0589 + 19.1545i −0.793981 + 1.37522i
\(195\) −14.1061 + 11.3685i −1.01016 + 0.814118i
\(196\) 0.888931 + 1.53967i 0.0634951 + 0.109977i
\(197\) −6.74557 1.80747i −0.480602 0.128777i 0.0103810 0.999946i \(-0.496696\pi\)
−0.490983 + 0.871169i \(0.663362\pi\)
\(198\) 7.15585 10.1410i 0.508544 0.720689i
\(199\) 12.9104 + 7.45383i 0.915195 + 0.528388i 0.882099 0.471064i \(-0.156130\pi\)
0.0330962 + 0.999452i \(0.489463\pi\)
\(200\) 1.42467 + 0.381740i 0.100740 + 0.0269931i
\(201\) 2.07850 + 9.45677i 0.146606 + 0.667029i
\(202\) 0.972722 + 0.260640i 0.0684405 + 0.0183386i
\(203\) 7.14483 1.91445i 0.501468 0.134368i
\(204\) 7.88121 12.3216i 0.551795 0.862682i
\(205\) 12.6184 + 7.28521i 0.881304 + 0.508821i
\(206\) 2.16166 8.06742i 0.150610 0.562084i
\(207\) 0.153239 + 0.331763i 0.0106508 + 0.0230591i
\(208\) −14.1849 + 7.06320i −0.983546 + 0.489745i
\(209\) −15.6870 + 9.05690i −1.08509 + 0.626479i
\(210\) −7.21258 + 6.58504i −0.497715 + 0.454411i
\(211\) −1.67522 −0.115327 −0.0576635 0.998336i \(-0.518365\pi\)
−0.0576635 + 0.998336i \(0.518365\pi\)
\(212\) 9.27290 + 16.0611i 0.636866 + 1.10308i
\(213\) −2.85828 + 9.00822i −0.195846 + 0.617233i
\(214\) −6.37071 6.37071i −0.435493 0.435493i
\(215\) −32.6501 + 8.74858i −2.22672 + 0.596648i
\(216\) 1.78731 1.35604i 0.121611 0.0922671i
\(217\) −3.27173 + 5.66680i −0.222099 + 0.384687i
\(218\) −9.58852 + 16.6078i −0.649417 + 1.12482i
\(219\) 21.4052 4.70465i 1.44643 0.317911i
\(220\) −9.50744 5.48912i −0.640992 0.370077i
\(221\) −15.3305 + 7.63363i −1.03124 + 0.513494i
\(222\) 5.34154 8.35102i 0.358501 0.560484i
\(223\) −4.49037 + 1.20319i −0.300698 + 0.0805717i −0.406013 0.913867i \(-0.633081\pi\)
0.105316 + 0.994439i \(0.466415\pi\)
\(224\) −6.65002 + 3.83939i −0.444323 + 0.256530i
\(225\) −8.37339 5.90857i −0.558226 0.393905i
\(226\) −18.7765 18.7765i −1.24899 1.24899i
\(227\) 12.0629 12.0629i 0.800645 0.800645i −0.182551 0.983196i \(-0.558435\pi\)
0.983196 + 0.182551i \(0.0584355\pi\)
\(228\) 25.5943 5.62536i 1.69502 0.372548i
\(229\) 3.93336 + 14.6795i 0.259923 + 0.970048i 0.965285 + 0.261200i \(0.0841181\pi\)
−0.705361 + 0.708848i \(0.749215\pi\)
\(230\) 0.594850 0.343437i 0.0392232 0.0226455i
\(231\) −3.27326 + 1.69640i −0.215364 + 0.111615i
\(232\) 0.826591 + 3.08488i 0.0542684 + 0.202532i
\(233\) −10.7706 −0.705602 −0.352801 0.935698i \(-0.614771\pi\)
−0.352801 + 0.935698i \(0.614771\pi\)
\(234\) 20.8986 2.29330i 1.36618 0.149918i
\(235\) 19.5985 1.27847
\(236\) −0.0591799 0.220863i −0.00385229 0.0143769i
\(237\) −1.07926 + 23.7299i −0.0701056 + 1.54142i
\(238\) −7.99531 + 4.61609i −0.518259 + 0.299217i
\(239\) 5.05764 + 18.8754i 0.327151 + 1.22095i 0.912132 + 0.409898i \(0.134436\pi\)
−0.584980 + 0.811047i \(0.698898\pi\)
\(240\) −14.8898 16.3087i −0.961130 1.05272i
\(241\) 15.2258 15.2258i 0.980779 0.980779i −0.0190398 0.999819i \(-0.506061\pi\)
0.999819 + 0.0190398i \(0.00606092\pi\)
\(242\) 8.89136 + 8.89136i 0.571558 + 0.571558i
\(243\) −14.9089 + 4.55231i −0.956409 + 0.292031i
\(244\) −21.4783 + 12.4005i −1.37500 + 0.793859i
\(245\) 2.80219 0.750845i 0.179026 0.0479698i
\(246\) −7.78015 15.0121i −0.496044 0.957133i
\(247\) −29.0926 9.75092i −1.85112 0.620436i
\(248\) −2.44672 1.41261i −0.155367 0.0897011i
\(249\) 3.69396 + 4.04599i 0.234095 + 0.256404i
\(250\) 4.46568 7.73478i 0.282434 0.489190i
\(251\) 4.66904 8.08701i 0.294707 0.510448i −0.680210 0.733018i \(-0.738111\pi\)
0.974917 + 0.222570i \(0.0714446\pi\)
\(252\) 5.25589 0.907078i 0.331090 0.0571405i
\(253\) 0.250452 0.0671083i 0.0157458 0.00421906i
\(254\) 21.4124 + 21.4124i 1.34354 + 1.34354i
\(255\) −16.0923 17.6258i −1.00774 1.10377i
\(256\) −9.47129 16.4048i −0.591956 1.02530i
\(257\) 5.33298 0.332662 0.166331 0.986070i \(-0.446808\pi\)
0.166331 + 0.986070i \(0.446808\pi\)
\(258\) 37.3887 + 11.8633i 2.32772 + 0.738579i
\(259\) −2.55012 + 1.47231i −0.158457 + 0.0914851i
\(260\) −3.69809 18.2248i −0.229346 1.13025i
\(261\) 2.01434 22.0990i 0.124685 1.36789i
\(262\) −4.92087 + 18.3649i −0.304012 + 1.13459i
\(263\) −3.24984 1.87630i −0.200394 0.115697i 0.396445 0.918058i \(-0.370244\pi\)
−0.596839 + 0.802361i \(0.703577\pi\)
\(264\) −0.732444 1.41327i −0.0450788 0.0869811i
\(265\) 29.2311 7.83246i 1.79565 0.481144i
\(266\) −15.9770 4.28103i −0.979613 0.262487i
\(267\) 19.4265 17.7363i 1.18888 1.08545i
\(268\) −9.59994 2.57229i −0.586409 0.157128i
\(269\) 13.3876 + 7.72931i 0.816254 + 0.471264i 0.849123 0.528195i \(-0.177131\pi\)
−0.0328693 + 0.999460i \(0.510464\pi\)
\(270\) 11.0647 + 27.1298i 0.673377 + 1.65107i
\(271\) 26.2141 + 7.02405i 1.59239 + 0.426681i 0.942735 0.333544i \(-0.108244\pi\)
0.649660 + 0.760225i \(0.274911\pi\)
\(272\) −10.4377 18.0786i −0.632877 1.09618i
\(273\) −5.82497 2.25160i −0.352543 0.136273i
\(274\) 4.95827 8.58798i 0.299540 0.518819i
\(275\) −5.14151 + 5.14151i −0.310045 + 0.310045i
\(276\) −0.374722 0.0170428i −0.0225556 0.00102586i
\(277\) 5.65599i 0.339836i −0.985458 0.169918i \(-0.945650\pi\)
0.985458 0.169918i \(-0.0543502\pi\)
\(278\) −1.61327 + 1.61327i −0.0967574 + 0.0967574i
\(279\) 12.5634 + 15.0835i 0.752153 + 0.903024i
\(280\) 0.324188 + 1.20989i 0.0193739 + 0.0723045i
\(281\) −1.55105 + 5.78858i −0.0925276 + 0.345318i −0.996633 0.0819917i \(-0.973872\pi\)
0.904105 + 0.427310i \(0.140539\pi\)
\(282\) −19.1592 12.2548i −1.14092 0.729761i
\(283\) 19.3825i 1.15217i −0.817389 0.576086i \(-0.804579\pi\)
0.817389 0.576086i \(-0.195421\pi\)
\(284\) −6.85948 6.85948i −0.407035 0.407035i
\(285\) 1.94279 42.7164i 0.115081 2.53030i
\(286\) 0.918325 14.8885i 0.0543017 0.880375i
\(287\) 5.02247i 0.296467i
\(288\) 3.91777 + 22.7007i 0.230857 + 1.33765i
\(289\) −2.78063 4.81619i −0.163566 0.283305i
\(290\) −41.7086 −2.44921
\(291\) −4.23099 19.2502i −0.248025 1.12846i
\(292\) −5.82235 + 21.7293i −0.340727 + 1.27161i
\(293\) 5.34649 19.9534i 0.312345 1.16569i −0.614090 0.789236i \(-0.710477\pi\)
0.926436 0.376453i \(-0.122856\pi\)
\(294\) −3.20888 1.01817i −0.187146 0.0593808i
\(295\) −0.373108 −0.0217232
\(296\) −0.635692 1.10105i −0.0369489 0.0639973i
\(297\) 1.38386 + 10.9733i 0.0802999 + 0.636734i
\(298\) 30.0546i 1.74101i
\(299\) 0.366125 + 0.242604i 0.0211735 + 0.0140302i
\(300\) 9.33947 4.84028i 0.539214 0.279453i
\(301\) −8.23895 8.23895i −0.474885 0.474885i
\(302\) 16.0048i 0.920973i
\(303\) −0.796749 + 0.412923i −0.0457720 + 0.0237218i
\(304\) 9.68004 36.1264i 0.555188 2.07199i
\(305\) 10.4742 + 39.0903i 0.599751 + 2.23830i
\(306\) 4.71033 + 27.2931i 0.269272 + 1.56024i
\(307\) −10.6030 + 10.6030i −0.605143 + 0.605143i −0.941673 0.336530i \(-0.890747\pi\)
0.336530 + 0.941673i \(0.390747\pi\)
\(308\) 3.78424i 0.215627i
\(309\) 3.42464 + 6.60796i 0.194821 + 0.375914i
\(310\) 26.0897 26.0897i 1.48180 1.48180i
\(311\) −8.56689 + 14.8383i −0.485784 + 0.841402i −0.999867 0.0163386i \(-0.994799\pi\)
0.514083 + 0.857741i \(0.328132\pi\)
\(312\) 0.972159 2.51501i 0.0550377 0.142385i
\(313\) −13.9642 24.1866i −0.789301 1.36711i −0.926396 0.376551i \(-0.877110\pi\)
0.137095 0.990558i \(-0.456223\pi\)
\(314\) −2.14160 0.573840i −0.120857 0.0323837i
\(315\) 0.790023 8.66720i 0.0445127 0.488341i
\(316\) −21.1160 12.1913i −1.18787 0.685817i
\(317\) −23.1616 6.20612i −1.30088 0.348570i −0.459099 0.888385i \(-0.651828\pi\)
−0.841784 + 0.539815i \(0.818494\pi\)
\(318\) −33.4735 10.6211i −1.87710 0.595599i
\(319\) −15.2080 4.07497i −0.851485 0.228155i
\(320\) 17.1919 4.60656i 0.961057 0.257515i
\(321\) 8.02033 + 0.364774i 0.447651 + 0.0203597i
\(322\) 0.205047 + 0.118384i 0.0114268 + 0.00659727i
\(323\) 10.4618 39.0440i 0.582110 2.17247i
\(324\) 2.89293 15.7371i 0.160718 0.874281i
\(325\) −12.2934 0.758259i −0.681915 0.0420606i
\(326\) −24.5647 + 14.1824i −1.36051 + 0.785492i
\(327\) −3.66844 16.6907i −0.202865 0.922999i
\(328\) −2.16852 −0.119737
\(329\) 3.37784 + 5.85059i 0.186226 + 0.322553i
\(330\) 20.3037 4.46253i 1.11768 0.245654i
\(331\) −14.1833 14.1833i −0.779585 0.779585i 0.200175 0.979760i \(-0.435849\pi\)
−0.979760 + 0.200175i \(0.935849\pi\)
\(332\) −5.43191 + 1.45548i −0.298115 + 0.0798797i
\(333\) 1.50237 + 8.70519i 0.0823294 + 0.477042i
\(334\) −10.9027 + 18.8839i −0.596567 + 1.03328i
\(335\) −8.10869 + 14.0447i −0.443025 + 0.767342i
\(336\) 2.30223 7.25576i 0.125597 0.395834i
\(337\) 0.0500929 + 0.0289212i 0.00272873 + 0.00157544i 0.501364 0.865237i \(-0.332832\pi\)
−0.498635 + 0.866812i \(0.666165\pi\)
\(338\) 19.9273 15.5358i 1.08390 0.845038i
\(339\) 23.6384 + 1.07510i 1.28386 + 0.0583916i
\(340\) 23.6634 6.34060i 1.28333 0.343867i
\(341\) 12.0620 6.96398i 0.653192 0.377121i
\(342\) −28.6094 + 40.5442i −1.54702 + 2.19238i
\(343\) 0.707107 + 0.707107i 0.0381802 + 0.0381802i
\(344\) 3.55728 3.55728i 0.191796 0.191796i
\(345\) −0.185119 + 0.583424i −0.00996645 + 0.0314105i
\(346\) 2.98875 + 11.1542i 0.160676 + 0.599651i
\(347\) 19.1589 11.0614i 1.02850 0.593807i 0.111948 0.993714i \(-0.464291\pi\)
0.916556 + 0.399907i \(0.130958\pi\)
\(348\) 19.1881 + 12.2732i 1.02859 + 0.657914i
\(349\) 3.73298 + 13.9317i 0.199822 + 0.745746i 0.990966 + 0.134115i \(0.0428193\pi\)
−0.791144 + 0.611630i \(0.790514\pi\)
\(350\) −6.63969 −0.354906
\(351\) −12.3754 + 14.0659i −0.660549 + 0.750783i
\(352\) 16.3445 0.871167
\(353\) 7.30318 + 27.2558i 0.388709 + 1.45068i 0.832237 + 0.554420i \(0.187060\pi\)
−0.443528 + 0.896261i \(0.646273\pi\)
\(354\) 0.364745 + 0.233301i 0.0193860 + 0.0123998i
\(355\) −13.7086 + 7.91467i −0.727577 + 0.420067i
\(356\) 6.98838 + 26.0810i 0.370383 + 1.38229i
\(357\) 2.48816 7.84174i 0.131687 0.415029i
\(358\) −2.54333 + 2.54333i −0.134419 + 0.134419i
\(359\) −10.9232 10.9232i −0.576506 0.576506i 0.357433 0.933939i \(-0.383652\pi\)
−0.933939 + 0.357433i \(0.883652\pi\)
\(360\) 3.74219 + 0.341104i 0.197231 + 0.0179777i
\(361\) 46.2629 26.7099i 2.43489 1.40578i
\(362\) 0.310601 0.0832254i 0.0163248 0.00437423i
\(363\) −11.1937 0.509100i −0.587514 0.0267208i
\(364\) 4.80312 4.24503i 0.251752 0.222500i
\(365\) 31.7899 + 18.3539i 1.66396 + 0.960687i
\(366\) 14.2033 44.7635i 0.742420 2.33983i
\(367\) −8.97449 + 15.5443i −0.468464 + 0.811404i −0.999350 0.0360390i \(-0.988526\pi\)
0.530886 + 0.847443i \(0.321859\pi\)
\(368\) −0.267683 + 0.463641i −0.0139540 + 0.0241690i
\(369\) 14.1399 + 5.20477i 0.736095 + 0.270949i
\(370\) 16.0380 4.29738i 0.833778 0.223410i
\(371\) 7.37620 + 7.37620i 0.382953 + 0.382953i
\(372\) −19.6798 + 4.32542i −1.02035 + 0.224263i
\(373\) 7.83088 + 13.5635i 0.405468 + 0.702290i 0.994376 0.105909i \(-0.0337754\pi\)
−0.588908 + 0.808200i \(0.700442\pi\)
\(374\) 19.6510 1.01613
\(375\) 1.70851 + 7.77339i 0.0882271 + 0.401416i
\(376\) −2.52607 + 1.45843i −0.130272 + 0.0752128i
\(377\) −11.8877 23.8738i −0.612247 1.22957i
\(378\) −6.19183 + 7.97894i −0.318474 + 0.410392i
\(379\) 5.46884 20.4100i 0.280915 1.04839i −0.670857 0.741586i \(-0.734074\pi\)
0.951773 0.306804i \(-0.0992596\pi\)
\(380\) 38.0112 + 21.9458i 1.94993 + 1.12579i
\(381\) −26.9569 1.22603i −1.38104 0.0628115i
\(382\) 28.8312 7.72531i 1.47513 0.395261i
\(383\) 12.6998 + 3.40290i 0.648930 + 0.173880i 0.568245 0.822859i \(-0.307623\pi\)
0.0806848 + 0.996740i \(0.474289\pi\)
\(384\) 5.66735 + 1.79823i 0.289211 + 0.0917657i
\(385\) −5.96457 1.59820i −0.303982 0.0814518i
\(386\) −22.8119 13.1705i −1.16110 0.670359i
\(387\) −31.7334 + 14.6574i −1.61310 + 0.745077i
\(388\) 19.5416 + 5.23615i 0.992074 + 0.265825i
\(389\) −5.19282 8.99423i −0.263286 0.456025i 0.703827 0.710372i \(-0.251473\pi\)
−0.967113 + 0.254346i \(0.918140\pi\)
\(390\) 28.4400 + 20.7644i 1.44012 + 1.05145i
\(391\) −0.289302 + 0.501085i −0.0146306 + 0.0253410i
\(392\) −0.305303 + 0.305303i −0.0154201 + 0.0154201i
\(393\) −7.79596 15.0426i −0.393254 0.758797i
\(394\) 13.5737i 0.683832i
\(395\) −28.1334 + 28.1334i −1.41555 + 1.41555i
\(396\) −10.6539 3.92159i −0.535378 0.197067i
\(397\) −4.30601 16.0703i −0.216113 0.806543i −0.985772 0.168088i \(-0.946241\pi\)
0.769659 0.638455i \(-0.220426\pi\)
\(398\) 7.49944 27.9883i 0.375913 1.40293i
\(399\) 13.0866 6.78228i 0.655151 0.339539i
\(400\) 15.0133i 0.750666i
\(401\) 12.1668 + 12.1668i 0.607583 + 0.607583i 0.942314 0.334730i \(-0.108645\pi\)
−0.334730 + 0.942314i \(0.608645\pi\)
\(402\) 16.7089 8.65958i 0.833366 0.431901i
\(403\) 22.3697 + 7.49762i 1.11431 + 0.373483i
\(404\) 0.921128i 0.0458278i
\(405\) −23.5823 11.2060i −1.17182 0.556829i
\(406\) −7.18854 12.4509i −0.356761 0.617929i
\(407\) 6.26774 0.310680
\(408\) 3.38578 + 1.07430i 0.167621 + 0.0531857i
\(409\) −4.81309 + 17.9627i −0.237992 + 0.888197i 0.738786 + 0.673941i \(0.235400\pi\)
−0.976777 + 0.214257i \(0.931267\pi\)
\(410\) 7.32979 27.3551i 0.361992 1.35097i
\(411\) 1.89697 + 8.63085i 0.0935707 + 0.425728i
\(412\) −7.63952 −0.376372
\(413\) −0.0643058 0.111381i −0.00316428 0.00548070i
\(414\) 0.545779 0.454594i 0.0268236 0.0223421i
\(415\) 9.17625i 0.450445i
\(416\) 18.3348 + 20.7452i 0.898935 + 1.01712i
\(417\) 0.0923724 2.03100i 0.00452350 0.0994587i
\(418\) 24.8953 + 24.8953i 1.21767 + 1.21767i
\(419\) 5.77225i 0.281993i 0.990010 + 0.140996i \(0.0450306\pi\)
−0.990010 + 0.140996i \(0.954969\pi\)
\(420\) 7.52555 + 4.81355i 0.367209 + 0.234877i
\(421\) 0.212118 0.791635i 0.0103380 0.0385819i −0.960564 0.278058i \(-0.910309\pi\)
0.970902 + 0.239476i \(0.0769758\pi\)
\(422\) 0.842736 + 3.14513i 0.0410238 + 0.153103i
\(423\) 19.9718 3.44679i 0.971061 0.167589i
\(424\) −3.18478 + 3.18478i −0.154667 + 0.154667i
\(425\) 16.2258i 0.787068i
\(426\) 18.3503 + 0.834593i 0.889075 + 0.0404362i
\(427\) −9.86406 + 9.86406i −0.477355 + 0.477355i
\(428\) −4.12048 + 7.13689i −0.199171 + 0.344974i
\(429\) 8.34125 + 10.3498i 0.402719 + 0.499695i
\(430\) 32.8499 + 56.8977i 1.58416 + 2.74385i
\(431\) 6.60819 + 1.77066i 0.318305 + 0.0852896i 0.414434 0.910079i \(-0.363979\pi\)
−0.0961291 + 0.995369i \(0.530646\pi\)
\(432\) −18.0416 14.0007i −0.868025 0.673607i
\(433\) 13.7008 + 7.91017i 0.658419 + 0.380139i 0.791674 0.610943i \(-0.209210\pi\)
−0.133255 + 0.991082i \(0.542543\pi\)
\(434\) 12.2850 + 3.29174i 0.589697 + 0.158009i
\(435\) 27.4483 25.0601i 1.31604 1.20154i
\(436\) 16.9434 + 4.53997i 0.811441 + 0.217425i
\(437\) −1.00132 + 0.268302i −0.0478995 + 0.0128346i
\(438\) −19.6008 37.8204i −0.936563 1.80713i
\(439\) −11.3735 6.56652i −0.542830 0.313403i 0.203395 0.979097i \(-0.434802\pi\)
−0.746225 + 0.665694i \(0.768136\pi\)
\(440\) 0.690046 2.57529i 0.0328966 0.122772i
\(441\) 2.72351 1.25797i 0.129691 0.0599032i
\(442\) 22.0439 + 24.9420i 1.04852 + 1.18637i
\(443\) −15.9334 + 9.19915i −0.757018 + 0.437065i −0.828224 0.560397i \(-0.810649\pi\)
0.0712060 + 0.997462i \(0.477315\pi\)
\(444\) −8.64289 2.74236i −0.410173 0.130147i
\(445\) 44.0592 2.08861
\(446\) 4.51785 + 7.82515i 0.213926 + 0.370531i
\(447\) −18.0580 19.7788i −0.854112 0.935506i
\(448\) 4.33822 + 4.33822i 0.204961 + 0.204961i
\(449\) 22.0378 5.90500i 1.04003 0.278674i 0.301902 0.953339i \(-0.402378\pi\)
0.738124 + 0.674665i \(0.235712\pi\)
\(450\) −6.88069 + 18.6929i −0.324359 + 0.881193i
\(451\) 5.34526 9.25825i 0.251698 0.435954i
\(452\) −12.1444 + 21.0347i −0.571223 + 0.989387i
\(453\) −9.61631 10.5327i −0.451814 0.494870i
\(454\) −28.7159 16.5791i −1.34770 0.778096i
\(455\) −4.66234 9.36330i −0.218574 0.438958i
\(456\) 2.92835 + 5.65034i 0.137132 + 0.264601i
\(457\) 18.0499 4.83646i 0.844339 0.226240i 0.189379 0.981904i \(-0.439352\pi\)
0.654959 + 0.755664i \(0.272686\pi\)
\(458\) 25.5812 14.7693i 1.19533 0.690124i
\(459\) −19.4986 15.1314i −0.910117 0.706271i
\(460\) −0.444259 0.444259i −0.0207137 0.0207137i
\(461\) −9.72131 + 9.72131i −0.452767 + 0.452767i −0.896272 0.443505i \(-0.853735\pi\)
0.443505 + 0.896272i \(0.353735\pi\)
\(462\) 4.83154 + 5.29196i 0.224783 + 0.246204i
\(463\) −3.26595 12.1887i −0.151782 0.566456i −0.999359 0.0357855i \(-0.988607\pi\)
0.847578 0.530671i \(-0.178060\pi\)
\(464\) 28.1534 16.2544i 1.30699 0.754590i
\(465\) −1.49384 + 32.8453i −0.0692753 + 1.52316i
\(466\) 5.41823 + 20.2211i 0.250995 + 0.936725i
\(467\) 27.7915 1.28604 0.643020 0.765850i \(-0.277681\pi\)
0.643020 + 0.765850i \(0.277681\pi\)
\(468\) −6.97371 17.9215i −0.322360 0.828421i
\(469\) −5.59019 −0.258131
\(470\) −9.85922 36.7951i −0.454772 1.69723i
\(471\) 1.75417 0.909115i 0.0808277 0.0418898i
\(472\) 0.0480903 0.0277650i 0.00221354 0.00127799i
\(473\) 6.41895 + 23.9558i 0.295144 + 1.10149i
\(474\) 45.0944 9.91128i 2.07126 0.455240i
\(475\) 20.5560 20.5560i 0.943174 0.943174i
\(476\) 5.97124 + 5.97124i 0.273691 + 0.273691i
\(477\) 28.4104 13.1225i 1.30082 0.600839i
\(478\) 32.8931 18.9908i 1.50450 0.868621i
\(479\) −2.58874 + 0.693650i −0.118282 + 0.0316937i −0.317475 0.948267i \(-0.602835\pi\)
0.199192 + 0.979960i \(0.436168\pi\)
\(480\) −20.7902 + 32.5037i −0.948940 + 1.48358i
\(481\) 7.03094 + 7.95529i 0.320583 + 0.362730i
\(482\) −36.2450 20.9261i −1.65092 0.953156i
\(483\) −0.206070 + 0.0452921i −0.00937652 + 0.00206086i
\(484\) 5.75080 9.96067i 0.261400 0.452758i
\(485\) 16.5060 28.5893i 0.749500 1.29817i
\(486\) 16.0468 + 25.7006i 0.727897 + 1.16580i
\(487\) 3.40897 0.913432i 0.154475 0.0413916i −0.180753 0.983529i \(-0.557853\pi\)
0.335228 + 0.942137i \(0.391187\pi\)
\(488\) −4.25895 4.25895i −0.192793 0.192793i
\(489\) 7.64459 24.0928i 0.345700 1.08952i
\(490\) −2.81934 4.88324i −0.127365 0.220602i
\(491\) −27.2186 −1.22836 −0.614179 0.789167i \(-0.710513\pi\)
−0.614179 + 0.789167i \(0.710513\pi\)
\(492\) −11.4216 + 10.4279i −0.514928 + 0.470126i
\(493\) 30.4271 17.5671i 1.37037 0.791181i
\(494\) −3.67151 + 59.5249i −0.165189 + 2.67815i
\(495\) −10.6805 + 15.1360i −0.480054 + 0.680313i
\(496\) −7.44312 + 27.7781i −0.334206 + 1.24727i
\(497\) −4.72540 2.72821i −0.211963 0.122377i
\(498\) 5.73782 8.97058i 0.257118 0.401981i
\(499\) 3.80994 1.02087i 0.170556 0.0457004i −0.172530 0.985004i \(-0.555194\pi\)
0.343087 + 0.939304i \(0.388528\pi\)
\(500\) −7.89107 2.11441i −0.352900 0.0945591i
\(501\) −4.17121 18.9782i −0.186356 0.847884i
\(502\) −17.5317 4.69761i −0.782478 0.209664i
\(503\) −35.7115 20.6181i −1.59230 0.919314i −0.992912 0.118853i \(-0.962078\pi\)
−0.599386 0.800460i \(-0.704588\pi\)
\(504\) 0.543145 + 1.17591i 0.0241936 + 0.0523794i
\(505\) −1.45184 0.389021i −0.0646062 0.0173112i
\(506\) −0.251984 0.436449i −0.0112021 0.0194025i
\(507\) −3.77955 + 22.1972i −0.167856 + 0.985812i
\(508\) 13.8492 23.9876i 0.614461 1.06428i
\(509\) −28.5366 + 28.5366i −1.26486 + 1.26486i −0.316157 + 0.948707i \(0.602393\pi\)
−0.948707 + 0.316157i \(0.897607\pi\)
\(510\) −24.9961 + 39.0792i −1.10685 + 1.73045i
\(511\) 12.6533i 0.559749i
\(512\) −21.1797 + 21.1797i −0.936017 + 0.936017i
\(513\) −5.53275 43.8717i −0.244277 1.93698i
\(514\) −2.68280 10.0124i −0.118333 0.441626i
\(515\) −3.22640 + 12.0411i −0.142172 + 0.530594i
\(516\) 1.63015 35.8424i 0.0717635 1.57787i
\(517\) 14.3797i 0.632418i
\(518\) 4.04705 + 4.04705i 0.177817 + 0.177817i
\(519\) −8.66874 5.54476i −0.380516 0.243388i
\(520\) 4.04273 2.01303i 0.177286 0.0882773i
\(521\) 13.8842i 0.608278i −0.952628 0.304139i \(-0.901631\pi\)
0.952628 0.304139i \(-0.0983687\pi\)
\(522\) −42.5029 + 7.33529i −1.86030 + 0.321057i
\(523\) −11.7621 20.3725i −0.514319 0.890827i −0.999862 0.0166140i \(-0.994711\pi\)
0.485543 0.874213i \(-0.338622\pi\)
\(524\) 17.3908 0.759722
\(525\) 4.36956 3.98939i 0.190703 0.174111i
\(526\) −1.88778 + 7.04528i −0.0823109 + 0.307189i
\(527\) −8.04424 + 30.0215i −0.350412 + 1.30776i
\(528\) −11.9659 + 10.9248i −0.520750 + 0.475442i
\(529\) −22.9852 −0.999355
\(530\) −29.4100 50.9396i −1.27749 2.21268i
\(531\) −0.380214 + 0.0656186i −0.0164999 + 0.00284760i
\(532\) 15.1296i 0.655950i
\(533\) 17.7471 3.60116i 0.768713 0.155984i
\(534\) −43.0716 27.5498i −1.86389 1.19220i
\(535\) 9.50866 + 9.50866i 0.411095 + 0.411095i
\(536\) 2.41364i 0.104254i
\(537\) 0.145626 3.20189i 0.00628422 0.138172i
\(538\) 7.77660 29.0227i 0.335273 1.25126i
\(539\) −0.550905 2.05601i −0.0237292 0.0885585i
\(540\) 21.3504 16.1987i 0.918776 0.697080i
\(541\) −13.1325 + 13.1325i −0.564611 + 0.564611i −0.930614 0.366002i \(-0.880726\pi\)
0.366002 + 0.930614i \(0.380726\pi\)
\(542\) 52.7491i 2.26577i
\(543\) −0.154401 + 0.241392i −0.00662597 + 0.0103591i
\(544\) −25.7904 + 25.7904i −1.10576 + 1.10576i
\(545\) 14.3114 24.7881i 0.613034 1.06181i
\(546\) −1.29694 + 12.0687i −0.0555039 + 0.516495i
\(547\) −5.80474 10.0541i −0.248193 0.429883i 0.714832 0.699297i \(-0.246503\pi\)
−0.963024 + 0.269414i \(0.913170\pi\)
\(548\) −8.76151 2.34764i −0.374273 0.100286i
\(549\) 17.5485 + 37.9927i 0.748952 + 1.62149i
\(550\) 12.2394 + 7.06641i 0.521889 + 0.301313i
\(551\) 60.8023 + 16.2919i 2.59027 + 0.694060i
\(552\) −0.0195555 0.0889738i −0.000832338 0.00378698i
\(553\) −13.2473 3.54960i −0.563332 0.150944i
\(554\) −10.6188 + 2.84530i −0.451150 + 0.120885i
\(555\) −7.97256 + 12.4644i −0.338416 + 0.529084i
\(556\) 1.80729 + 1.04344i 0.0766461 + 0.0442516i
\(557\) 9.12030 34.0374i 0.386440 1.44221i −0.449445 0.893308i \(-0.648378\pi\)
0.835885 0.548905i \(-0.184955\pi\)
\(558\) 21.9982 31.1750i 0.931258 1.31974i
\(559\) −23.2053 + 35.0201i −0.981478 + 1.48119i
\(560\) 11.0417 6.37494i 0.466598 0.269391i
\(561\) −12.9323 + 11.8071i −0.546002 + 0.498497i
\(562\) 11.6480 0.491341
\(563\) 11.0003 + 19.0530i 0.463606 + 0.802988i 0.999137 0.0415266i \(-0.0132221\pi\)
−0.535532 + 0.844515i \(0.679889\pi\)
\(564\) −6.29164 + 19.8288i −0.264926 + 0.834945i
\(565\) 28.0250 + 28.0250i 1.17902 + 1.17902i
\(566\) −36.3896 + 9.75056i −1.52957 + 0.409847i
\(567\) −0.719232 8.97122i −0.0302049 0.376756i
\(568\) 1.17794 2.04026i 0.0494255 0.0856074i
\(569\) 7.17526 12.4279i 0.300802 0.521005i −0.675515 0.737346i \(-0.736079\pi\)
0.976318 + 0.216341i \(0.0694122\pi\)
\(570\) −81.1750 + 17.8414i −3.40005 + 0.747295i
\(571\) −12.9658 7.48584i −0.542604 0.313273i 0.203530 0.979069i \(-0.434759\pi\)
−0.746134 + 0.665796i \(0.768092\pi\)
\(572\) −13.3718 + 2.71334i −0.559101 + 0.113450i
\(573\) −14.3321 + 22.4069i −0.598732 + 0.936064i
\(574\) 9.42941 2.52660i 0.393576 0.105458i
\(575\) −0.360375 + 0.208063i −0.0150287 + 0.00867681i
\(576\) 16.7092 7.71784i 0.696216 0.321577i
\(577\) 26.2877 + 26.2877i 1.09437 + 1.09437i 0.995056 + 0.0993162i \(0.0316655\pi\)
0.0993162 + 0.995056i \(0.468334\pi\)
\(578\) −7.64330 + 7.64330i −0.317919 + 0.317919i
\(579\) 22.9258 5.03885i 0.952763 0.209407i
\(580\) 9.87407 + 36.8505i 0.409999 + 1.53014i
\(581\) −2.73931 + 1.58154i −0.113646 + 0.0656135i
\(582\) −34.0127 + 17.6274i −1.40987 + 0.730680i
\(583\) −5.74678 21.4473i −0.238007 0.888256i
\(584\) −5.46324 −0.226071
\(585\) −31.1923 + 3.42289i −1.28964 + 0.141519i
\(586\) −40.1509 −1.65862
\(587\) 2.29248 + 8.55567i 0.0946209 + 0.353130i 0.996962 0.0778932i \(-0.0248193\pi\)
−0.902341 + 0.431023i \(0.858153\pi\)
\(588\) −0.139908 + 3.07617i −0.00576969 + 0.126859i
\(589\) −48.2243 + 27.8423i −1.98705 + 1.14722i
\(590\) 0.187696 + 0.700489i 0.00772730 + 0.0288387i
\(591\) −8.15560 8.93280i −0.335477 0.367446i
\(592\) −9.15098 + 9.15098i −0.376103 + 0.376103i
\(593\) −13.9329 13.9329i −0.572157 0.572157i 0.360574 0.932731i \(-0.382581\pi\)
−0.932731 + 0.360574i \(0.882581\pi\)
\(594\) 19.9055 8.11833i 0.816734 0.333099i
\(595\) 11.9335 6.88979i 0.489224 0.282454i
\(596\) 26.5539 7.11511i 1.08769 0.291446i
\(597\) 11.8811 + 22.9250i 0.486261 + 0.938257i
\(598\) 0.271293 0.809423i 0.0110940 0.0330998i
\(599\) 17.3670 + 10.0269i 0.709598 + 0.409687i 0.810912 0.585168i \(-0.198971\pi\)
−0.101314 + 0.994854i \(0.532305\pi\)
\(600\) 1.72247 + 1.88662i 0.0703197 + 0.0770210i
\(601\) 7.31235 12.6654i 0.298277 0.516631i −0.677465 0.735555i \(-0.736921\pi\)
0.975742 + 0.218924i \(0.0702548\pi\)
\(602\) −11.3235 + 19.6128i −0.461511 + 0.799360i
\(603\) −5.79309 + 15.7382i −0.235913 + 0.640911i
\(604\) 14.1406 3.78897i 0.575374 0.154171i
\(605\) −13.2709 13.2709i −0.539537 0.539537i
\(606\) 1.17605 + 1.28813i 0.0477738 + 0.0523265i
\(607\) 8.06918 + 13.9762i 0.327518 + 0.567278i 0.982019 0.188783i \(-0.0604544\pi\)
−0.654501 + 0.756061i \(0.727121\pi\)
\(608\) −65.3463 −2.65014
\(609\) 12.2118 + 3.87476i 0.494846 + 0.157013i
\(610\) 68.1206 39.3294i 2.75812 1.59240i
\(611\) 18.2513 16.1307i 0.738370 0.652576i
\(612\) 22.9990 10.6230i 0.929679 0.429411i
\(613\) 8.76669 32.7178i 0.354083 1.32146i −0.527550 0.849524i \(-0.676889\pi\)
0.881634 0.471934i \(-0.156444\pi\)
\(614\) 25.2404 + 14.5725i 1.01862 + 0.588100i
\(615\) 11.6123 + 22.4064i 0.468254 + 0.903512i
\(616\) 0.887710 0.237861i 0.0357669 0.00958370i
\(617\) −11.0603 2.96359i −0.445270 0.119310i 0.0292152 0.999573i \(-0.490699\pi\)
−0.474486 + 0.880263i \(0.657366\pi\)
\(618\) 10.6833 9.75377i 0.429744 0.392354i
\(619\) −12.8374 3.43978i −0.515980 0.138256i −0.00857365 0.999963i \(-0.502729\pi\)
−0.507407 + 0.861707i \(0.669396\pi\)
\(620\) −29.2274 16.8744i −1.17380 0.677694i
\(621\) −0.0860376 + 0.627092i −0.00345257 + 0.0251643i
\(622\) 32.1677 + 8.61931i 1.28981 + 0.345603i
\(623\) 7.59368 + 13.1526i 0.304234 + 0.526949i
\(624\) −27.2892 2.93258i −1.09244 0.117397i
\(625\) −15.2054 + 26.3366i −0.608217 + 1.05346i
\(626\) −38.3842 + 38.3842i −1.53414 + 1.53414i
\(627\) −31.3416 1.42545i −1.25166 0.0569271i
\(628\) 2.02801i 0.0809263i
\(629\) −9.89002 + 9.89002i −0.394341 + 0.394341i
\(630\) −16.6696 + 2.87689i −0.664133 + 0.114618i
\(631\) 5.48004 + 20.4518i 0.218157 + 0.814173i 0.985031 + 0.172375i \(0.0551442\pi\)
−0.766874 + 0.641797i \(0.778189\pi\)
\(632\) 1.53259 5.71971i 0.0609632 0.227518i
\(633\) −2.44432 1.56346i −0.0971531 0.0621418i
\(634\) 46.6066i 1.85098i
\(635\) −31.9593 31.9593i −1.26827 1.26827i
\(636\) −1.45945 + 32.0891i −0.0578710 + 1.27242i
\(637\) 1.99159 3.00559i 0.0789096 0.119086i
\(638\) 30.6021i 1.21155i
\(639\) −12.5777 + 10.4763i −0.497568 + 0.414438i
\(640\) 4.97936 + 8.62451i 0.196827 + 0.340914i
\(641\) 27.1234 1.07131 0.535655 0.844437i \(-0.320065\pi\)
0.535655 + 0.844437i \(0.320065\pi\)
\(642\) −3.34986 15.2412i −0.132208 0.601523i
\(643\) 0.447778 1.67113i 0.0176586 0.0659029i −0.956534 0.291620i \(-0.905806\pi\)
0.974193 + 0.225717i \(0.0724724\pi\)
\(644\) 0.0560523 0.209190i 0.00220877 0.00824324i
\(645\) −55.8048 17.7067i −2.19731 0.697201i
\(646\) −78.5658 −3.09113
\(647\) 6.81318 + 11.8008i 0.267854 + 0.463936i 0.968307 0.249762i \(-0.0803523\pi\)
−0.700454 + 0.713698i \(0.747019\pi\)
\(648\) 3.87345 0.310539i 0.152163 0.0121991i
\(649\) 0.273754i 0.0107458i
\(650\) 4.76072 + 23.4616i 0.186731 + 0.920240i
\(651\) −10.0625 + 5.21500i −0.394381 + 0.204392i
\(652\) 18.3460 + 18.3460i 0.718483 + 0.718483i
\(653\) 8.14932i 0.318908i 0.987205 + 0.159454i \(0.0509733\pi\)
−0.987205 + 0.159454i \(0.949027\pi\)
\(654\) −29.4904 + 15.2837i −1.15317 + 0.597641i
\(655\) 7.34468 27.4107i 0.286980 1.07103i
\(656\) 5.71302 + 21.3213i 0.223056 + 0.832457i
\(657\) 35.6232 + 13.1126i 1.38979 + 0.511570i
\(658\) 9.28489 9.28489i 0.361963 0.361963i
\(659\) 5.22295i 0.203457i 0.994812 + 0.101729i \(0.0324373\pi\)
−0.994812 + 0.101729i \(0.967563\pi\)
\(660\) −8.74944 16.8823i −0.340572 0.657144i
\(661\) 10.3886 10.3886i 0.404070 0.404070i −0.475594 0.879665i \(-0.657767\pi\)
0.879665 + 0.475594i \(0.157767\pi\)
\(662\) −19.4933 + 33.7634i −0.757629 + 1.31225i
\(663\) −29.4931 3.16941i −1.14542 0.123090i
\(664\) −0.682854 1.18274i −0.0264999 0.0458991i
\(665\) 23.8466 + 6.38968i 0.924732 + 0.247781i
\(666\) 15.5877 7.19984i 0.604012 0.278988i
\(667\) −0.780329 0.450523i −0.0302145 0.0174443i
\(668\) 19.2655 + 5.16218i 0.745406 + 0.199731i
\(669\) −7.67484 2.43521i −0.296726 0.0941505i
\(670\) 30.4472 + 8.15831i 1.17628 + 0.315183i
\(671\) 28.6811 7.68506i 1.10722 0.296679i
\(672\) −13.2863 0.604276i −0.512530 0.0233105i
\(673\) 0.906515 + 0.523377i 0.0349436 + 0.0201747i 0.517370 0.855762i \(-0.326911\pi\)
−0.482426 + 0.875936i \(0.660244\pi\)
\(674\) 0.0290981 0.108596i 0.00112082 0.00418295i
\(675\) −6.70329 16.4360i −0.258010 0.632620i
\(676\) −18.4439 13.9283i −0.709380 0.535704i
\(677\) −18.0515 + 10.4220i −0.693775 + 0.400551i −0.805025 0.593241i \(-0.797848\pi\)
0.111250 + 0.993792i \(0.464515\pi\)
\(678\) −9.87309 44.9207i −0.379174 1.72517i
\(679\) 11.3794 0.436700
\(680\) 2.97476 + 5.15244i 0.114077 + 0.197587i
\(681\) 28.8592 6.34295i 1.10589 0.243062i
\(682\) −19.1424 19.1424i −0.732999 0.732999i
\(683\) −21.1213 + 5.65944i −0.808185 + 0.216552i −0.639174 0.769062i \(-0.720724\pi\)
−0.169010 + 0.985614i \(0.554057\pi\)
\(684\) 42.5948 + 15.6787i 1.62865 + 0.599491i
\(685\) −7.40051 + 12.8181i −0.282759 + 0.489753i
\(686\) 0.971836 1.68327i 0.0371049 0.0642675i
\(687\) −7.96093 + 25.0898i −0.303728 + 0.957236i
\(688\) −44.3476 25.6041i −1.69073 0.976146i
\(689\) 20.7753 31.3529i 0.791475 1.19445i
\(690\) 1.18847 + 0.0540530i 0.0452443 + 0.00205776i
\(691\) 15.3214 4.10536i 0.582854 0.156175i 0.0446687 0.999002i \(-0.485777\pi\)
0.538185 + 0.842827i \(0.319110\pi\)
\(692\) 9.14742 5.28126i 0.347733 0.200764i
\(693\) −6.35924 0.579650i −0.241568 0.0220191i
\(694\) −30.4052 30.4052i −1.15417 1.15417i
\(695\) 2.40790 2.40790i 0.0913368 0.0913368i
\(696\) −1.67298 + 5.27260i −0.0634142 + 0.199857i
\(697\) 6.17441 + 23.0432i 0.233873 + 0.872824i
\(698\) 24.2780 14.0169i 0.918937 0.530548i
\(699\) −15.7154 10.0520i −0.594409 0.380200i
\(700\) 1.57188 + 5.86633i 0.0594114 + 0.221726i
\(701\) −21.0690 −0.795764 −0.397882 0.917437i \(-0.630255\pi\)
−0.397882 + 0.917437i \(0.630255\pi\)
\(702\) 32.6335 + 16.1581i 1.23167 + 0.609848i
\(703\) −25.0587 −0.945108
\(704\) −3.37989 12.6139i −0.127385 0.475406i
\(705\) 28.5963 + 18.2909i 1.07700 + 0.688877i
\(706\) 47.4973 27.4226i 1.78759 1.03206i
\(707\) −0.134097 0.500456i −0.00504323 0.0188216i
\(708\) 0.119777 0.377493i 0.00450151 0.0141871i
\(709\) −28.2568 + 28.2568i −1.06121 + 1.06121i −0.0632047 + 0.998001i \(0.520132\pi\)
−0.998001 + 0.0632047i \(0.979868\pi\)
\(710\) 21.7556 + 21.7556i 0.816472 + 0.816472i
\(711\) −23.7214 + 33.6171i −0.889623 + 1.26074i
\(712\) −5.67884 + 3.27868i −0.212823 + 0.122874i
\(713\) 0.769928 0.206301i 0.0288340 0.00772605i
\(714\) −15.9741 0.726521i −0.597816 0.0271894i
\(715\) −1.37065 + 22.2219i −0.0512595 + 0.831054i
\(716\) 2.84920 + 1.64499i 0.106480 + 0.0614761i
\(717\) −10.2364 + 32.2613i −0.382286 + 1.20482i
\(718\) −15.0127 + 26.0028i −0.560270 + 0.970416i
\(719\) −4.90120 + 8.48913i −0.182784 + 0.316591i −0.942828 0.333281i \(-0.891844\pi\)
0.760044 + 0.649872i \(0.225178\pi\)
\(720\) −6.50508 37.6924i −0.242430 1.40471i
\(721\) −4.15061 + 1.11215i −0.154577 + 0.0414187i
\(722\) −73.4193 73.4193i −2.73238 2.73238i
\(723\) 36.4260 8.00604i 1.35470 0.297748i
\(724\) −0.147063 0.254721i −0.00546557 0.00946664i
\(725\) 25.2681 0.938434
\(726\) 4.67527 + 21.2716i 0.173515 + 0.789462i
\(727\) 11.0963 6.40642i 0.411537 0.237601i −0.279913 0.960025i \(-0.590306\pi\)
0.691450 + 0.722424i \(0.256972\pi\)
\(728\) 1.29771 + 0.859896i 0.0480962 + 0.0318699i
\(729\) −26.0023 7.27196i −0.963047 0.269332i
\(730\) 18.4662 68.9168i 0.683465 2.55072i
\(731\) −47.9291 27.6719i −1.77272 1.02348i
\(732\) −42.9122 1.95170i −1.58608 0.0721367i
\(733\) −26.3227 + 7.05313i −0.972249 + 0.260513i −0.709777 0.704426i \(-0.751204\pi\)
−0.262472 + 0.964940i \(0.584538\pi\)
\(734\) 33.6982 + 9.02940i 1.24382 + 0.333281i
\(735\) 4.78944 + 1.51968i 0.176661 + 0.0560541i
\(736\) 0.903514 + 0.242096i 0.0333040 + 0.00892377i
\(737\) 10.3048 + 5.94946i 0.379581 + 0.219151i
\(738\) 2.65844 29.1652i 0.0978584 1.07359i
\(739\) −21.4814 5.75594i −0.790208 0.211736i −0.158927 0.987290i \(-0.550804\pi\)
−0.631280 + 0.775555i \(0.717470\pi\)
\(740\) −7.59369 13.1527i −0.279149 0.483501i
\(741\) −33.3487 41.3792i −1.22510 1.52010i
\(742\) 10.1377 17.5591i 0.372168 0.644614i
\(743\) −10.0110 + 10.0110i −0.367267 + 0.367267i −0.866480 0.499212i \(-0.833623\pi\)
0.499212 + 0.866480i \(0.333623\pi\)
\(744\) −2.25165 4.34463i −0.0825495 0.159282i
\(745\) 44.8582i 1.64348i
\(746\) 21.5253 21.5253i 0.788096 0.788096i
\(747\) 1.61383 + 9.35102i 0.0590469 + 0.342136i
\(748\) −4.65218 17.3622i −0.170101 0.634824i
\(749\) −1.19971 + 4.47738i −0.0438365 + 0.163600i
\(750\) 13.7346 7.11811i 0.501517 0.259917i
\(751\) 3.39826i 0.124004i 0.998076 + 0.0620022i \(0.0197486\pi\)
−0.998076 + 0.0620022i \(0.980251\pi\)
\(752\) 20.9945 + 20.9945i 0.765591 + 0.765591i
\(753\) 14.3601 7.44226i 0.523310 0.271211i
\(754\) −38.8416 + 34.3284i −1.41453 + 1.25017i
\(755\) 23.8881i 0.869377i
\(756\) 8.51544 + 3.58171i 0.309704 + 0.130265i
\(757\) 2.13947 + 3.70566i 0.0777602 + 0.134685i 0.902283 0.431144i \(-0.141890\pi\)
−0.824523 + 0.565828i \(0.808556\pi\)
\(758\) −41.0697 −1.49172
\(759\) 0.428066 + 0.135824i 0.0155378 + 0.00493010i
\(760\) −2.75884 + 10.2961i −0.100073 + 0.373479i
\(761\) −0.0525574 + 0.196147i −0.00190521 + 0.00711032i −0.966872 0.255262i \(-0.917838\pi\)
0.964967 + 0.262372i \(0.0845049\pi\)
\(762\) 11.2591 + 51.2268i 0.407875 + 1.85575i
\(763\) 9.86640 0.357188
\(764\) −13.6510 23.6442i −0.493876 0.855418i
\(765\) −7.03044 40.7365i −0.254186 1.47283i
\(766\) 25.5550i 0.923340i
\(767\) −0.347461 + 0.307088i −0.0125461 + 0.0110883i
\(768\) 1.49067 32.7756i 0.0537901 1.18269i
\(769\) −31.7578 31.7578i −1.14522 1.14522i −0.987481 0.157736i \(-0.949581\pi\)
−0.157736 0.987481i \(-0.550419\pi\)
\(770\) 12.0021i 0.432526i
\(771\) 7.78137 + 4.97717i 0.280239 + 0.179249i
\(772\) −6.23594 + 23.2729i −0.224437 + 0.837608i
\(773\) 8.24090 + 30.7555i 0.296405 + 1.10620i 0.940095 + 0.340911i<