Properties

Label 483.2.y.b.340.11
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 340.11
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.b.331.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.267514 + 1.10271i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(0.633270 - 0.326473i) q^{4} +(1.59984 - 0.640478i) q^{5} +(0.954565 - 0.613461i) q^{6} +(0.433383 + 2.61002i) q^{7} +(2.01555 + 2.32606i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(0.267514 + 1.10271i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(0.633270 - 0.326473i) q^{4} +(1.59984 - 0.640478i) q^{5} +(0.954565 - 0.613461i) q^{6} +(0.433383 + 2.61002i) q^{7} +(2.01555 + 2.32606i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(1.13424 + 1.59282i) q^{10} +(0.546530 - 2.25283i) q^{11} +(-0.515640 - 0.491661i) q^{12} +(-0.181622 + 0.397697i) q^{13} +(-2.76215 + 1.17611i) q^{14} +(-1.12851 - 1.30237i) q^{15} +(-1.19923 + 1.68409i) q^{16} +(0.0171063 + 0.359106i) q^{17} +(-0.891929 - 0.701421i) q^{18} +(0.208867 - 4.38466i) q^{19} +(0.804030 - 0.927900i) q^{20} +(2.32472 - 1.26320i) q^{21} +2.63042 q^{22} +(1.92830 + 4.39109i) q^{23} +(1.53891 - 2.66547i) q^{24} +(-1.46940 + 1.40107i) q^{25} +(-0.487131 - 0.0938867i) q^{26} +(0.841254 + 0.540641i) q^{27} +(1.12655 + 1.51136i) q^{28} +(8.72573 - 5.60769i) q^{29} +(1.13424 - 1.59282i) q^{30} +(-2.85559 + 0.550369i) q^{31} +(3.53683 + 1.41593i) q^{32} +(-2.30768 + 0.220356i) q^{33} +(-0.391413 + 0.114929i) q^{34} +(2.36500 + 3.89803i) q^{35} +(-0.295971 + 0.648087i) q^{36} +(0.0360387 - 0.0283412i) q^{37} +(4.89088 - 0.942639i) q^{38} +(0.435227 + 0.0415592i) q^{39} +(4.71434 + 2.43041i) q^{40} +(0.876300 - 6.09480i) q^{41} +(2.01484 + 2.22556i) q^{42} +(-6.63969 + 7.66261i) q^{43} +(-0.389387 - 1.60508i) q^{44} +(-0.861640 + 1.49240i) q^{45} +(-4.32624 + 3.30103i) q^{46} +(-2.87323 - 4.97658i) q^{47} +(1.98370 + 0.582466i) q^{48} +(-6.62436 + 2.26227i) q^{49} +(-1.93806 - 1.24551i) q^{50} +(0.333761 - 0.133618i) q^{51} +(0.0148216 + 0.311145i) q^{52} +(-4.04270 - 0.386031i) q^{53} +(-0.371122 + 1.07229i) q^{54} +(-0.568528 - 3.95420i) q^{55} +(-5.19756 + 6.26868i) q^{56} +(-4.21182 + 1.23670i) q^{57} +(8.51790 + 8.12180i) q^{58} +(5.30997 + 7.45681i) q^{59} +(-1.13984 - 0.456322i) q^{60} +(2.18184 - 6.30401i) q^{61} +(-1.37081 - 3.00165i) q^{62} +(-1.95407 - 1.78371i) q^{63} +(-1.20367 + 8.37167i) q^{64} +(-0.0358496 + 0.752577i) q^{65} +(-0.860325 - 2.48575i) q^{66} +(-2.42013 + 2.30759i) q^{67} +(0.128071 + 0.221826i) q^{68} +(3.51890 - 3.25843i) q^{69} +(-3.66572 + 3.65068i) q^{70} +(-8.98963 - 2.63959i) q^{71} +(-3.02220 - 0.582482i) q^{72} +(-10.1523 + 5.23386i) q^{73} +(0.0408929 + 0.0321585i) q^{74} +(1.80461 + 0.930340i) q^{75} +(-1.29921 - 2.84486i) q^{76} +(6.11677 + 0.450116i) q^{77} +(0.0706018 + 0.491046i) q^{78} +(-5.01391 + 0.478771i) q^{79} +(-0.839958 + 3.46235i) q^{80} +(0.235759 - 0.971812i) q^{81} +(6.95521 - 0.664142i) q^{82} +(-1.45219 - 10.1002i) q^{83} +(1.05977 - 1.55891i) q^{84} +(0.257367 + 0.563555i) q^{85} +(-10.2258 - 5.27178i) q^{86} +(-8.15318 - 6.41173i) q^{87} +(6.34178 - 3.26941i) q^{88} +(3.24113 + 0.624677i) q^{89} +(-1.87619 - 0.550898i) q^{90} +(-1.11671 - 0.301682i) q^{91} +(2.65471 + 2.15121i) q^{92} +(1.45407 + 2.51852i) q^{93} +(4.71908 - 4.49964i) q^{94} +(-2.47413 - 7.14852i) q^{95} +(0.181274 - 3.80542i) q^{96} +(1.80463 - 12.5515i) q^{97} +(-4.26673 - 6.69954i) q^{98} +(0.963004 + 2.10868i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.267514 + 1.10271i 0.189161 + 0.779732i 0.984761 + 0.173911i \(0.0556404\pi\)
−0.795600 + 0.605822i \(0.792844\pi\)
\(3\) −0.327068 0.945001i −0.188833 0.545596i
\(4\) 0.633270 0.326473i 0.316635 0.163237i
\(5\) 1.59984 0.640478i 0.715469 0.286431i 0.0147734 0.999891i \(-0.495297\pi\)
0.700696 + 0.713460i \(0.252873\pi\)
\(6\) 0.954565 0.613461i 0.389699 0.250445i
\(7\) 0.433383 + 2.61002i 0.163803 + 0.986493i
\(8\) 2.01555 + 2.32606i 0.712603 + 0.822388i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) 1.13424 + 1.59282i 0.358678 + 0.503693i
\(11\) 0.546530 2.25283i 0.164785 0.679253i −0.828141 0.560520i \(-0.810601\pi\)
0.992926 0.118734i \(-0.0378834\pi\)
\(12\) −0.515640 0.491661i −0.148852 0.141930i
\(13\) −0.181622 + 0.397697i −0.0503730 + 0.110301i −0.933145 0.359500i \(-0.882947\pi\)
0.882772 + 0.469801i \(0.155675\pi\)
\(14\) −2.76215 + 1.17611i −0.738215 + 0.314329i
\(15\) −1.12851 1.30237i −0.291380 0.336270i
\(16\) −1.19923 + 1.68409i −0.299809 + 0.421022i
\(17\) 0.0171063 + 0.359106i 0.00414890 + 0.0870960i 0.999992 0.00398866i \(-0.00126963\pi\)
−0.995843 + 0.0910847i \(0.970967\pi\)
\(18\) −0.891929 0.701421i −0.210230 0.165326i
\(19\) 0.208867 4.38466i 0.0479174 1.00591i −0.839043 0.544065i \(-0.816884\pi\)
0.886960 0.461845i \(-0.152813\pi\)
\(20\) 0.804030 0.927900i 0.179787 0.207485i
\(21\) 2.32472 1.26320i 0.507296 0.275653i
\(22\) 2.63042 0.560807
\(23\) 1.92830 + 4.39109i 0.402078 + 0.915605i
\(24\) 1.53891 2.66547i 0.314129 0.544087i
\(25\) −1.46940 + 1.40107i −0.293880 + 0.280214i
\(26\) −0.487131 0.0938867i −0.0955342 0.0184127i
\(27\) 0.841254 + 0.540641i 0.161899 + 0.104046i
\(28\) 1.12655 + 1.51136i 0.212898 + 0.285619i
\(29\) 8.72573 5.60769i 1.62033 1.04132i 0.664545 0.747248i \(-0.268625\pi\)
0.955783 0.294074i \(-0.0950111\pi\)
\(30\) 1.13424 1.59282i 0.207083 0.290807i
\(31\) −2.85559 + 0.550369i −0.512879 + 0.0988493i −0.439123 0.898427i \(-0.644711\pi\)
−0.0737559 + 0.997276i \(0.523499\pi\)
\(32\) 3.53683 + 1.41593i 0.625230 + 0.250304i
\(33\) −2.30768 + 0.220356i −0.401715 + 0.0383591i
\(34\) −0.391413 + 0.114929i −0.0671268 + 0.0197102i
\(35\) 2.36500 + 3.89803i 0.399758 + 0.658887i
\(36\) −0.295971 + 0.648087i −0.0493285 + 0.108014i
\(37\) 0.0360387 0.0283412i 0.00592473 0.00465926i −0.615192 0.788377i \(-0.710922\pi\)
0.621117 + 0.783718i \(0.286679\pi\)
\(38\) 4.89088 0.942639i 0.793405 0.152916i
\(39\) 0.435227 + 0.0415592i 0.0696921 + 0.00665479i
\(40\) 4.71434 + 2.43041i 0.745402 + 0.384282i
\(41\) 0.876300 6.09480i 0.136855 0.951848i −0.799468 0.600709i \(-0.794885\pi\)
0.936323 0.351140i \(-0.114206\pi\)
\(42\) 2.01484 + 2.22556i 0.310896 + 0.343412i
\(43\) −6.63969 + 7.66261i −1.01254 + 1.16854i −0.0269101 + 0.999638i \(0.508567\pi\)
−0.985633 + 0.168900i \(0.945979\pi\)
\(44\) −0.389387 1.60508i −0.0587023 0.241974i
\(45\) −0.861640 + 1.49240i −0.128446 + 0.222474i
\(46\) −4.32624 + 3.30103i −0.637870 + 0.486710i
\(47\) −2.87323 4.97658i −0.419103 0.725908i 0.576746 0.816923i \(-0.304322\pi\)
−0.995850 + 0.0910151i \(0.970989\pi\)
\(48\) 1.98370 + 0.582466i 0.286322 + 0.0840717i
\(49\) −6.62436 + 2.26227i −0.946337 + 0.323181i
\(50\) −1.93806 1.24551i −0.274083 0.176142i
\(51\) 0.333761 0.133618i 0.0467358 0.0187102i
\(52\) 0.0148216 + 0.311145i 0.00205539 + 0.0431480i
\(53\) −4.04270 0.386031i −0.555307 0.0530254i −0.186370 0.982480i \(-0.559672\pi\)
−0.368937 + 0.929454i \(0.620278\pi\)
\(54\) −0.371122 + 1.07229i −0.0505033 + 0.145920i
\(55\) −0.568528 3.95420i −0.0766603 0.533184i
\(56\) −5.19756 + 6.26868i −0.694553 + 0.837688i
\(57\) −4.21182 + 1.23670i −0.557870 + 0.163805i
\(58\) 8.51790 + 8.12180i 1.11845 + 1.06644i
\(59\) 5.30997 + 7.45681i 0.691300 + 0.970794i 0.999808 + 0.0195729i \(0.00623064\pi\)
−0.308509 + 0.951221i \(0.599830\pi\)
\(60\) −1.13984 0.456322i −0.147153 0.0589110i
\(61\) 2.18184 6.30401i 0.279356 0.807145i −0.714814 0.699315i \(-0.753488\pi\)
0.994169 0.107830i \(-0.0343903\pi\)
\(62\) −1.37081 3.00165i −0.174093 0.381210i
\(63\) −1.95407 1.78371i −0.246189 0.224726i
\(64\) −1.20367 + 8.37167i −0.150458 + 1.04646i
\(65\) −0.0358496 + 0.752577i −0.00444660 + 0.0933456i
\(66\) −0.860325 2.48575i −0.105899 0.305974i
\(67\) −2.42013 + 2.30759i −0.295665 + 0.281916i −0.823362 0.567517i \(-0.807904\pi\)
0.527697 + 0.849433i \(0.323056\pi\)
\(68\) 0.128071 + 0.221826i 0.0155309 + 0.0269004i
\(69\) 3.51890 3.25843i 0.423626 0.392269i
\(70\) −3.66572 + 3.65068i −0.438137 + 0.436340i
\(71\) −8.98963 2.63959i −1.06687 0.313262i −0.299257 0.954173i \(-0.596739\pi\)
−0.767616 + 0.640911i \(0.778557\pi\)
\(72\) −3.02220 0.582482i −0.356170 0.0686461i
\(73\) −10.1523 + 5.23386i −1.18823 + 0.612576i −0.934937 0.354813i \(-0.884545\pi\)
−0.253295 + 0.967389i \(0.581514\pi\)
\(74\) 0.0408929 + 0.0321585i 0.00475370 + 0.00373835i
\(75\) 1.80461 + 0.930340i 0.208378 + 0.107426i
\(76\) −1.29921 2.84486i −0.149029 0.326328i
\(77\) 6.11677 + 0.450116i 0.697071 + 0.0512954i
\(78\) 0.0706018 + 0.491046i 0.00799408 + 0.0556000i
\(79\) −5.01391 + 0.478771i −0.564109 + 0.0538659i −0.373215 0.927745i \(-0.621745\pi\)
−0.190894 + 0.981611i \(0.561139\pi\)
\(80\) −0.839958 + 3.46235i −0.0939101 + 0.387103i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) 6.95521 0.664142i 0.768075 0.0733422i
\(83\) −1.45219 10.1002i −0.159398 1.10864i −0.899746 0.436414i \(-0.856248\pi\)
0.740348 0.672224i \(-0.234661\pi\)
\(84\) 1.05977 1.55891i 0.115631 0.170090i
\(85\) 0.257367 + 0.563555i 0.0279154 + 0.0611262i
\(86\) −10.2258 5.27178i −1.10268 0.568471i
\(87\) −8.15318 6.41173i −0.874112 0.687410i
\(88\) 6.34178 3.26941i 0.676036 0.348521i
\(89\) 3.24113 + 0.624677i 0.343559 + 0.0662156i 0.358112 0.933678i \(-0.383420\pi\)
−0.0145532 + 0.999894i \(0.504633\pi\)
\(90\) −1.87619 0.550898i −0.197767 0.0580698i
\(91\) −1.11671 0.301682i −0.117063 0.0316249i
\(92\) 2.65471 + 2.15121i 0.276772 + 0.224279i
\(93\) 1.45407 + 2.51852i 0.150780 + 0.261159i
\(94\) 4.71908 4.49964i 0.486736 0.464102i
\(95\) −2.47413 7.14852i −0.253840 0.733423i
\(96\) 0.181274 3.80542i 0.0185012 0.388389i
\(97\) 1.80463 12.5515i 0.183232 1.27441i −0.665824 0.746108i \(-0.731920\pi\)
0.849057 0.528301i \(-0.177171\pi\)
\(98\) −4.26673 6.69954i −0.431005 0.676756i
\(99\) 0.963004 + 2.10868i 0.0967856 + 0.211931i
\(100\) −0.473115 + 1.36698i −0.0473115 + 0.136698i
\(101\) −10.5133 4.20889i −1.04611 0.418800i −0.215997 0.976394i \(-0.569300\pi\)
−0.830114 + 0.557594i \(0.811725\pi\)
\(102\) 0.236627 + 0.332296i 0.0234296 + 0.0329022i
\(103\) −6.22319 5.93380i −0.613189 0.584674i 0.318504 0.947921i \(-0.396820\pi\)
−0.931693 + 0.363247i \(0.881668\pi\)
\(104\) −1.29114 + 0.379112i −0.126606 + 0.0371750i
\(105\) 2.91012 3.50985i 0.283999 0.342526i
\(106\) −0.655799 4.56119i −0.0636969 0.443021i
\(107\) −0.221292 + 0.639383i −0.0213932 + 0.0618114i −0.955192 0.295987i \(-0.904351\pi\)
0.933799 + 0.357799i \(0.116473\pi\)
\(108\) 0.709245 + 0.0677247i 0.0682471 + 0.00651681i
\(109\) 0.355911 + 7.47150i 0.0340901 + 0.715640i 0.949623 + 0.313396i \(0.101467\pi\)
−0.915533 + 0.402244i \(0.868230\pi\)
\(110\) 4.20824 1.68472i 0.401240 0.160632i
\(111\) −0.0385695 0.0247871i −0.00366086 0.00235269i
\(112\) −4.91522 2.40016i −0.464445 0.226794i
\(113\) 6.95291 + 2.04156i 0.654075 + 0.192054i 0.591900 0.806012i \(-0.298378\pi\)
0.0621751 + 0.998065i \(0.480196\pi\)
\(114\) −2.49044 4.31358i −0.233251 0.404003i
\(115\) 5.89736 + 5.79000i 0.549932 + 0.539920i
\(116\) 3.69498 6.39990i 0.343071 0.594216i
\(117\) −0.103075 0.424883i −0.00952933 0.0392804i
\(118\) −6.80219 + 7.85015i −0.626193 + 0.722665i
\(119\) −0.929859 + 0.200278i −0.0852400 + 0.0183595i
\(120\) 0.754831 5.24996i 0.0689063 0.479254i
\(121\) 5.00065 + 2.57802i 0.454605 + 0.234365i
\(122\) 7.53515 + 0.719520i 0.682200 + 0.0651422i
\(123\) −6.04620 + 1.16531i −0.545168 + 0.105072i
\(124\) −1.62868 + 1.28081i −0.146259 + 0.115020i
\(125\) −5.03283 + 11.0204i −0.450150 + 0.985691i
\(126\) 1.44417 2.63193i 0.128657 0.234471i
\(127\) −17.0217 + 4.99803i −1.51043 + 0.443503i −0.928997 0.370088i \(-0.879327\pi\)
−0.581437 + 0.813592i \(0.697509\pi\)
\(128\) −1.96855 + 0.187973i −0.173996 + 0.0166147i
\(129\) 9.41280 + 3.76832i 0.828751 + 0.331782i
\(130\) −0.839462 + 0.161793i −0.0736257 + 0.0141902i
\(131\) −7.12890 + 10.0111i −0.622855 + 0.874677i −0.998646 0.0520272i \(-0.983432\pi\)
0.375791 + 0.926705i \(0.377371\pi\)
\(132\) −1.38944 + 0.892940i −0.120935 + 0.0777204i
\(133\) 11.5346 1.35509i 1.00017 0.117501i
\(134\) −3.19201 2.05138i −0.275748 0.177212i
\(135\) 1.69214 + 0.326133i 0.145636 + 0.0280690i
\(136\) −0.800825 + 0.763585i −0.0686702 + 0.0654769i
\(137\) 0.575998 0.997659i 0.0492109 0.0852357i −0.840371 0.542012i \(-0.817663\pi\)
0.889582 + 0.456776i \(0.150996\pi\)
\(138\) 4.53445 + 3.00864i 0.385998 + 0.256113i
\(139\) 2.44138 0.207075 0.103538 0.994626i \(-0.466984\pi\)
0.103538 + 0.994626i \(0.466984\pi\)
\(140\) 2.77029 + 1.69639i 0.234132 + 0.143371i
\(141\) −3.76313 + 4.34288i −0.316913 + 0.365737i
\(142\) 0.505848 10.6191i 0.0424498 0.891132i
\(143\) 0.796682 + 0.626518i 0.0666219 + 0.0523920i
\(144\) −0.0983729 2.06510i −0.00819774 0.172092i
\(145\) 10.3682 14.5600i 0.861028 1.20915i
\(146\) −8.48729 9.79485i −0.702413 0.810628i
\(147\) 4.30446 + 5.52011i 0.355026 + 0.455291i
\(148\) 0.0135696 0.0297133i 0.00111541 0.00244242i
\(149\) −12.2222 11.6539i −1.00128 0.954723i −0.00231029 0.999997i \(-0.500735\pi\)
−0.998975 + 0.0452741i \(0.985584\pi\)
\(150\) −0.543136 + 2.23884i −0.0443468 + 0.182800i
\(151\) −6.83165 9.59371i −0.555952 0.780725i 0.436972 0.899475i \(-0.356051\pi\)
−0.992924 + 0.118750i \(0.962111\pi\)
\(152\) 10.6200 8.35165i 0.861394 0.677408i
\(153\) −0.235431 0.271702i −0.0190335 0.0219658i
\(154\) 1.13998 + 6.86543i 0.0918619 + 0.553232i
\(155\) −4.21598 + 2.70944i −0.338635 + 0.217628i
\(156\) 0.289184 0.115772i 0.0231533 0.00926917i
\(157\) 13.9861 7.21032i 1.11621 0.575446i 0.201472 0.979494i \(-0.435428\pi\)
0.914738 + 0.404048i \(0.132397\pi\)
\(158\) −1.86924 5.40080i −0.148708 0.429665i
\(159\) 0.957438 + 3.94661i 0.0759298 + 0.312987i
\(160\) 6.56524 0.519027
\(161\) −10.6251 + 6.93591i −0.837377 + 0.546626i
\(162\) 1.13469 0.0891499
\(163\) 2.32543 + 9.58555i 0.182142 + 0.750798i 0.987449 + 0.157940i \(0.0504854\pi\)
−0.805307 + 0.592858i \(0.797999\pi\)
\(164\) −1.43486 4.14574i −0.112043 0.323728i
\(165\) −3.55077 + 1.83055i −0.276427 + 0.142508i
\(166\) 10.7491 4.30327i 0.834289 0.333999i
\(167\) −2.38949 + 1.53563i −0.184905 + 0.118831i −0.629818 0.776742i \(-0.716871\pi\)
0.444914 + 0.895573i \(0.353234\pi\)
\(168\) 7.62386 + 2.86141i 0.588194 + 0.220763i
\(169\) 8.38801 + 9.68028i 0.645232 + 0.744637i
\(170\) −0.552588 + 0.434560i −0.0423815 + 0.0333292i
\(171\) 2.54624 + 3.57569i 0.194716 + 0.273440i
\(172\) −1.70308 + 7.02018i −0.129858 + 0.535284i
\(173\) 11.0810 + 10.5657i 0.842475 + 0.803298i 0.982385 0.186866i \(-0.0598330\pi\)
−0.139911 + 0.990164i \(0.544682\pi\)
\(174\) 4.88918 10.7058i 0.370647 0.811605i
\(175\) −4.29363 3.22796i −0.324568 0.244011i
\(176\) 3.13854 + 3.62207i 0.236577 + 0.273024i
\(177\) 5.30997 7.45681i 0.399122 0.560488i
\(178\) 0.178212 + 3.74113i 0.0133576 + 0.280410i
\(179\) −11.1523 8.77026i −0.833561 0.655520i 0.107332 0.994223i \(-0.465769\pi\)
−0.940893 + 0.338703i \(0.890012\pi\)
\(180\) −0.0584205 + 1.22640i −0.00435441 + 0.0914102i
\(181\) −1.93032 + 2.22771i −0.143479 + 0.165584i −0.822941 0.568127i \(-0.807668\pi\)
0.679461 + 0.733711i \(0.262214\pi\)
\(182\) 0.0339319 1.31211i 0.00251520 0.0972599i
\(183\) −6.67090 −0.493127
\(184\) −6.32738 + 13.3358i −0.466461 + 0.983127i
\(185\) 0.0395042 0.0684233i 0.00290441 0.00503058i
\(186\) −2.38821 + 2.27716i −0.175112 + 0.166969i
\(187\) 0.818353 + 0.157725i 0.0598439 + 0.0115340i
\(188\) −3.44425 2.21348i −0.251198 0.161435i
\(189\) −1.04650 + 2.42999i −0.0761214 + 0.176756i
\(190\) 7.22087 4.64057i 0.523857 0.336662i
\(191\) 7.50715 10.5423i 0.543198 0.762815i −0.448166 0.893950i \(-0.647923\pi\)
0.991365 + 0.131135i \(0.0418621\pi\)
\(192\) 8.30492 1.60064i 0.599356 0.115516i
\(193\) −16.4839 6.59917i −1.18654 0.475019i −0.307399 0.951581i \(-0.599459\pi\)
−0.879141 + 0.476562i \(0.841883\pi\)
\(194\) 14.3234 1.36772i 1.02836 0.0981964i
\(195\) 0.722911 0.212266i 0.0517687 0.0152007i
\(196\) −3.45644 + 3.59530i −0.246888 + 0.256807i
\(197\) −1.08643 + 2.37895i −0.0774049 + 0.169493i −0.944378 0.328862i \(-0.893335\pi\)
0.866973 + 0.498355i \(0.166062\pi\)
\(198\) −2.06765 + 1.62602i −0.146941 + 0.115556i
\(199\) −22.2167 + 4.28193i −1.57490 + 0.303538i −0.900510 0.434835i \(-0.856807\pi\)
−0.674393 + 0.738373i \(0.735595\pi\)
\(200\) −6.22063 0.593998i −0.439865 0.0420020i
\(201\) 2.97222 + 1.53228i 0.209644 + 0.108079i
\(202\) 1.82872 12.7190i 0.128668 0.894907i
\(203\) 18.4177 + 20.3440i 1.29267 + 1.42787i
\(204\) 0.167738 0.193580i 0.0117440 0.0135533i
\(205\) −2.50165 10.3119i −0.174723 0.720218i
\(206\) 4.87845 8.44973i 0.339898 0.588721i
\(207\) −4.23014 2.25963i −0.294015 0.157055i
\(208\) −0.451950 0.782800i −0.0313371 0.0542774i
\(209\) −9.76374 2.86689i −0.675372 0.198307i
\(210\) 4.64884 + 2.27008i 0.320800 + 0.156651i
\(211\) 16.4245 + 10.5554i 1.13071 + 0.726663i 0.965708 0.259630i \(-0.0836006\pi\)
0.165002 + 0.986293i \(0.447237\pi\)
\(212\) −2.68615 + 1.07537i −0.184485 + 0.0738568i
\(213\) 0.445802 + 9.35853i 0.0305458 + 0.641236i
\(214\) −0.764251 0.0729771i −0.0522431 0.00498861i
\(215\) −5.71469 + 16.5115i −0.389739 + 1.12608i
\(216\) 0.438020 + 3.04649i 0.0298035 + 0.207288i
\(217\) −2.67403 7.21461i −0.181525 0.489759i
\(218\) −8.14367 + 2.39120i −0.551559 + 0.161952i
\(219\) 8.26648 + 7.88207i 0.558597 + 0.532621i
\(220\) −1.65097 2.31847i −0.111309 0.156311i
\(221\) −0.145922 0.0584186i −0.00981581 0.00392966i
\(222\) 0.0170151 0.0491618i 0.00114198 0.00329953i
\(223\) 9.15920 + 20.0558i 0.613345 + 1.34304i 0.920262 + 0.391302i \(0.127975\pi\)
−0.306917 + 0.951736i \(0.599297\pi\)
\(224\) −2.16281 + 9.84483i −0.144509 + 0.657786i
\(225\) 0.288943 2.00964i 0.0192629 0.133976i
\(226\) −0.391242 + 8.21318i −0.0260250 + 0.546332i
\(227\) −1.27839 3.69368i −0.0848500 0.245158i 0.894592 0.446884i \(-0.147466\pi\)
−0.979442 + 0.201726i \(0.935345\pi\)
\(228\) −2.26347 + 2.15821i −0.149902 + 0.142931i
\(229\) −11.3980 19.7419i −0.753202 1.30458i −0.946263 0.323398i \(-0.895175\pi\)
0.193061 0.981187i \(-0.438159\pi\)
\(230\) −4.80705 + 8.05197i −0.316967 + 0.530931i
\(231\) −1.57524 5.92757i −0.103643 0.390006i
\(232\) 30.6309 + 8.99406i 2.01102 + 0.590489i
\(233\) 15.6051 + 3.00764i 1.02232 + 0.197037i 0.672749 0.739871i \(-0.265114\pi\)
0.349576 + 0.936908i \(0.386326\pi\)
\(234\) 0.440948 0.227324i 0.0288256 0.0148607i
\(235\) −7.78409 6.12147i −0.507778 0.399321i
\(236\) 5.79709 + 2.98861i 0.377359 + 0.194542i
\(237\) 2.09233 + 4.58156i 0.135911 + 0.297604i
\(238\) −0.469599 0.971786i −0.0304396 0.0629915i
\(239\) 2.55887 + 17.7974i 0.165520 + 1.15122i 0.888007 + 0.459830i \(0.152090\pi\)
−0.722487 + 0.691385i \(0.757001\pi\)
\(240\) 3.54665 0.338664i 0.228935 0.0218607i
\(241\) 0.258169 1.06419i 0.0166301 0.0685502i −0.962892 0.269887i \(-0.913014\pi\)
0.979522 + 0.201337i \(0.0645287\pi\)
\(242\) −1.50505 + 6.20391i −0.0967485 + 0.398803i
\(243\) −0.995472 + 0.0950560i −0.0638596 + 0.00609785i
\(244\) −0.676397 4.70445i −0.0433019 0.301171i
\(245\) −9.14896 + 7.86202i −0.584506 + 0.502286i
\(246\) −2.90244 6.35546i −0.185053 0.405209i
\(247\) 1.70583 + 0.879419i 0.108540 + 0.0559561i
\(248\) −7.03576 5.53298i −0.446771 0.351345i
\(249\) −9.06970 + 4.67576i −0.574769 + 0.296314i
\(250\) −13.4986 2.60164i −0.853726 0.164542i
\(251\) −12.2502 3.59697i −0.773223 0.227039i −0.128762 0.991676i \(-0.541100\pi\)
−0.644461 + 0.764637i \(0.722918\pi\)
\(252\) −1.81978 0.491620i −0.114636 0.0309692i
\(253\) 10.9462 1.94426i 0.688184 0.122235i
\(254\) −10.0649 17.4329i −0.631529 1.09384i
\(255\) 0.448384 0.427533i 0.0280789 0.0267732i
\(256\) 4.79863 + 13.8647i 0.299915 + 0.866546i
\(257\) −0.140037 + 2.93974i −0.00873529 + 0.183376i 0.990283 + 0.139069i \(0.0444110\pi\)
−0.999018 + 0.0443071i \(0.985892\pi\)
\(258\) −1.63730 + 11.3877i −0.101934 + 0.708964i
\(259\) 0.0895894 + 0.0817791i 0.00556682 + 0.00508150i
\(260\) 0.222994 + 0.488288i 0.0138295 + 0.0302823i
\(261\) −3.39245 + 9.80183i −0.209987 + 0.606718i
\(262\) −12.9464 5.18297i −0.799834 0.320205i
\(263\) 7.51208 + 10.5492i 0.463215 + 0.650494i 0.978433 0.206565i \(-0.0662284\pi\)
−0.515218 + 0.857059i \(0.672289\pi\)
\(264\) −5.16379 4.92366i −0.317809 0.303031i
\(265\) −6.71491 + 1.97167i −0.412493 + 0.121119i
\(266\) 4.57992 + 12.3567i 0.280813 + 0.757640i
\(267\) −0.469750 3.26718i −0.0287482 0.199948i
\(268\) −0.779228 + 2.25143i −0.0475989 + 0.137528i
\(269\) 24.1840 + 2.30929i 1.47452 + 0.140800i 0.801133 0.598486i \(-0.204231\pi\)
0.673391 + 0.739286i \(0.264837\pi\)
\(270\) 0.0930414 + 1.95318i 0.00566232 + 0.118867i
\(271\) 10.7235 4.29302i 0.651403 0.260783i −0.0223373 0.999750i \(-0.507111\pi\)
0.673741 + 0.738968i \(0.264687\pi\)
\(272\) −0.625281 0.401844i −0.0379132 0.0243654i
\(273\) 0.0801499 + 1.15396i 0.00485089 + 0.0698409i
\(274\) 1.25421 + 0.368270i 0.0757698 + 0.0222480i
\(275\) 2.35330 + 4.07604i 0.141909 + 0.245794i
\(276\) 1.16462 3.21229i 0.0701020 0.193357i
\(277\) 13.0500 22.6032i 0.784096 1.35809i −0.145441 0.989367i \(-0.546460\pi\)
0.929537 0.368728i \(-0.120207\pi\)
\(278\) 0.653103 + 2.69213i 0.0391705 + 0.161463i
\(279\) 1.90443 2.19783i 0.114015 0.131580i
\(280\) −4.30030 + 13.3578i −0.256992 + 0.798281i
\(281\) 0.0814326 0.566376i 0.00485786 0.0337872i −0.987248 0.159188i \(-0.949112\pi\)
0.992106 + 0.125401i \(0.0400216\pi\)
\(282\) −5.79562 2.98785i −0.345124 0.177924i
\(283\) −10.2058 0.974539i −0.606674 0.0579303i −0.212801 0.977095i \(-0.568259\pi\)
−0.393872 + 0.919165i \(0.628865\pi\)
\(284\) −6.55461 + 1.26330i −0.388945 + 0.0749630i
\(285\) −5.94615 + 4.67611i −0.352220 + 0.276989i
\(286\) −0.477742 + 1.04611i −0.0282495 + 0.0618578i
\(287\) 16.2873 0.354224i 0.961409 0.0209092i
\(288\) −3.65541 + 1.07333i −0.215397 + 0.0632463i
\(289\) 16.7944 1.60367i 0.987903 0.0943333i
\(290\) 18.8291 + 7.53803i 1.10568 + 0.442648i
\(291\) −12.4514 + 2.39981i −0.729914 + 0.140679i
\(292\) −4.72041 + 6.62888i −0.276241 + 0.387926i
\(293\) 9.87834 6.34842i 0.577099 0.370879i −0.219294 0.975659i \(-0.570375\pi\)
0.796393 + 0.604780i \(0.206739\pi\)
\(294\) −4.93556 + 6.22327i −0.287848 + 0.362949i
\(295\) 13.2710 + 8.52877i 0.772669 + 0.496564i
\(296\) 0.138561 + 0.0267055i 0.00805370 + 0.00155222i
\(297\) 1.67774 1.59972i 0.0973524 0.0928253i
\(298\) 9.58121 16.5951i 0.555024 0.961331i
\(299\) −2.09655 0.0306405i −0.121246 0.00177199i
\(300\) 1.44654 0.0835158
\(301\) −22.8771 14.0089i −1.31861 0.807457i
\(302\) 8.75150 10.0998i 0.503592 0.581176i
\(303\) −0.538841 + 11.3117i −0.0309556 + 0.649838i
\(304\) 7.13368 + 5.60999i 0.409145 + 0.321755i
\(305\) −0.546993 11.4828i −0.0313208 0.657504i
\(306\) 0.236627 0.332296i 0.0135271 0.0189961i
\(307\) 18.1230 + 20.9150i 1.03433 + 1.19368i 0.980779 + 0.195119i \(0.0625095\pi\)
0.0535539 + 0.998565i \(0.482945\pi\)
\(308\) 4.02052 1.71192i 0.229090 0.0975456i
\(309\) −3.57204 + 7.82167i −0.203206 + 0.444959i
\(310\) −4.11556 3.92418i −0.233748 0.222878i
\(311\) −0.948719 + 3.91067i −0.0537969 + 0.221754i −0.992364 0.123342i \(-0.960639\pi\)
0.938567 + 0.345096i \(0.112154\pi\)
\(312\) 0.780551 + 1.09613i 0.0441900 + 0.0620562i
\(313\) 23.9757 18.8547i 1.35519 1.06573i 0.364265 0.931295i \(-0.381320\pi\)
0.990922 0.134436i \(-0.0429223\pi\)
\(314\) 11.6923 + 13.4937i 0.659837 + 0.761493i
\(315\) −4.26862 1.60211i −0.240509 0.0902687i
\(316\) −3.01885 + 1.94010i −0.169824 + 0.109139i
\(317\) 31.5901 12.6468i 1.77428 0.710314i 0.777611 0.628746i \(-0.216432\pi\)
0.996668 0.0815678i \(-0.0259927\pi\)
\(318\) −4.09583 + 2.11155i −0.229683 + 0.118410i
\(319\) −7.86428 22.7223i −0.440315 1.27221i
\(320\) 3.43621 + 14.1642i 0.192090 + 0.791805i
\(321\) 0.676595 0.0377638
\(322\) −10.4907 9.86095i −0.584621 0.549529i
\(323\) 1.57813 0.0878096
\(324\) −0.167971 0.692388i −0.00933175 0.0384660i
\(325\) −0.290327 0.838843i −0.0161044 0.0465307i
\(326\) −9.94798 + 5.12854i −0.550968 + 0.284044i
\(327\) 6.94416 2.78002i 0.384013 0.153736i
\(328\) 15.9431 10.2460i 0.880312 0.565742i
\(329\) 11.7437 9.65593i 0.647453 0.532349i
\(330\) −2.96845 3.42577i −0.163408 0.188582i
\(331\) 0.442430 0.347931i 0.0243182 0.0191240i −0.605926 0.795521i \(-0.707197\pi\)
0.630244 + 0.776397i \(0.282955\pi\)
\(332\) −4.21706 5.92203i −0.231441 0.325014i
\(333\) −0.0108090 + 0.0445553i −0.000592330 + 0.00244162i
\(334\) −2.33258 2.22411i −0.127633 0.121698i
\(335\) −2.39385 + 5.24180i −0.130790 + 0.286390i
\(336\) −0.660545 + 5.42991i −0.0360357 + 0.296226i
\(337\) −6.42182 7.41118i −0.349819 0.403713i 0.553384 0.832926i \(-0.313336\pi\)
−0.903203 + 0.429214i \(0.858791\pi\)
\(338\) −8.43061 + 11.8391i −0.458565 + 0.643964i
\(339\) −0.344800 7.23824i −0.0187269 0.393127i
\(340\) 0.346968 + 0.272859i 0.0188170 + 0.0147979i
\(341\) −0.320777 + 6.73394i −0.0173711 + 0.364663i
\(342\) −3.26179 + 3.76430i −0.176377 + 0.203550i
\(343\) −8.77544 16.3092i −0.473829 0.880617i
\(344\) −31.2063 −1.68253
\(345\) 3.54271 7.46673i 0.190733 0.401995i
\(346\) −8.68659 + 15.0456i −0.466994 + 0.808857i
\(347\) 0.114695 0.109362i 0.00615716 0.00587084i −0.686994 0.726663i \(-0.741070\pi\)
0.693151 + 0.720792i \(0.256222\pi\)
\(348\) −7.25642 1.39856i −0.388985 0.0749707i
\(349\) 18.0914 + 11.6266i 0.968408 + 0.622358i 0.926313 0.376755i \(-0.122960\pi\)
0.0420955 + 0.999114i \(0.486597\pi\)
\(350\) 2.41089 5.59815i 0.128868 0.299234i
\(351\) −0.367802 + 0.236372i −0.0196318 + 0.0126166i
\(352\) 5.12284 7.19403i 0.273048 0.383443i
\(353\) −3.44734 + 0.664421i −0.183484 + 0.0353636i −0.280165 0.959952i \(-0.590389\pi\)
0.0966816 + 0.995315i \(0.469177\pi\)
\(354\) 9.64318 + 3.86055i 0.512529 + 0.205186i
\(355\) −16.0725 + 1.53474i −0.853042 + 0.0814557i
\(356\) 2.25645 0.662554i 0.119592 0.0351153i
\(357\) 0.493390 + 0.813213i 0.0261130 + 0.0430398i
\(358\) 6.68764 14.6439i 0.353453 0.773954i
\(359\) 26.7366 21.0259i 1.41110 1.10970i 0.433043 0.901373i \(-0.357440\pi\)
0.978059 0.208329i \(-0.0668024\pi\)
\(360\) −5.20810 + 1.00378i −0.274491 + 0.0529038i
\(361\) −0.267673 0.0255597i −0.0140881 0.00134525i
\(362\) −2.97290 1.53263i −0.156252 0.0805535i
\(363\) 0.800673 5.56881i 0.0420245 0.292287i
\(364\) −0.805669 + 0.173529i −0.0422285 + 0.00909541i
\(365\) −12.8898 + 14.8756i −0.674683 + 0.778626i
\(366\) −1.78456 7.35605i −0.0932804 0.384507i
\(367\) 14.6961 25.4544i 0.767130 1.32871i −0.171984 0.985100i \(-0.555018\pi\)
0.939113 0.343608i \(-0.111649\pi\)
\(368\) −9.70746 2.01852i −0.506037 0.105223i
\(369\) 3.07874 + 5.33253i 0.160273 + 0.277601i
\(370\) 0.0860188 + 0.0252574i 0.00447191 + 0.00131307i
\(371\) −0.744489 10.7188i −0.0386519 0.556493i
\(372\) 1.74305 + 1.12019i 0.0903729 + 0.0580791i
\(373\) −20.4849 + 8.20090i −1.06067 + 0.424627i −0.835384 0.549667i \(-0.814755\pi\)
−0.225282 + 0.974294i \(0.572330\pi\)
\(374\) 0.0449968 + 0.944598i 0.00232673 + 0.0488440i
\(375\) 12.0603 + 1.15162i 0.622793 + 0.0594695i
\(376\) 5.78471 16.7138i 0.298324 0.861950i
\(377\) 0.645375 + 4.48868i 0.0332385 + 0.231179i
\(378\) −2.95952 0.503923i −0.152221 0.0259190i
\(379\) 13.8381 4.06324i 0.710816 0.208714i 0.0937159 0.995599i \(-0.470125\pi\)
0.617100 + 0.786885i \(0.288307\pi\)
\(380\) −3.90059 3.71921i −0.200096 0.190791i
\(381\) 10.2904 + 14.4508i 0.527193 + 0.740339i
\(382\) 13.6334 + 5.45798i 0.697544 + 0.279254i
\(383\) −8.84223 + 25.5479i −0.451817 + 1.30544i 0.457454 + 0.889233i \(0.348762\pi\)
−0.909271 + 0.416205i \(0.863360\pi\)
\(384\) 0.821483 + 1.79880i 0.0419211 + 0.0917945i
\(385\) 10.0741 3.19755i 0.513425 0.162962i
\(386\) 2.86728 19.9423i 0.145940 1.01504i
\(387\) 0.482437 10.1276i 0.0245237 0.514815i
\(388\) −2.95490 8.53764i −0.150013 0.433433i
\(389\) 3.38657 3.22909i 0.171706 0.163721i −0.599354 0.800484i \(-0.704576\pi\)
0.771059 + 0.636763i \(0.219727\pi\)
\(390\) 0.427456 + 0.740375i 0.0216451 + 0.0374904i
\(391\) −1.54388 + 0.767579i −0.0780774 + 0.0388182i
\(392\) −18.6139 10.8490i −0.940143 0.547956i
\(393\) 11.7922 + 3.46249i 0.594836 + 0.174660i
\(394\) −2.91392 0.561613i −0.146801 0.0282936i
\(395\) −7.71481 + 3.97726i −0.388174 + 0.200118i
\(396\) 1.29827 + 1.02097i 0.0652405 + 0.0513057i
\(397\) −28.2619 14.5700i −1.41842 0.731249i −0.433005 0.901391i \(-0.642547\pi\)
−0.985419 + 0.170143i \(0.945577\pi\)
\(398\) −10.6650 23.3531i −0.534588 1.17059i
\(399\) −5.05314 10.4570i −0.252974 0.523503i
\(400\) −0.597372 4.15482i −0.0298686 0.207741i
\(401\) 7.63121 0.728693i 0.381085 0.0363892i 0.0972438 0.995261i \(-0.468997\pi\)
0.283841 + 0.958871i \(0.408391\pi\)
\(402\) −0.894552 + 3.68739i −0.0446162 + 0.183910i
\(403\) 0.299758 1.23562i 0.0149320 0.0615506i
\(404\) −8.03183 + 0.766947i −0.399599 + 0.0381571i
\(405\) −0.245248 1.70574i −0.0121865 0.0847589i
\(406\) −17.5065 + 25.7517i −0.868834 + 1.27804i
\(407\) −0.0441515 0.0966783i −0.00218851 0.00479217i
\(408\) 0.983513 + 0.507036i 0.0486911 + 0.0251020i
\(409\) 20.3701 + 16.0192i 1.00724 + 0.792101i 0.978240 0.207479i \(-0.0665258\pi\)
0.0289985 + 0.999579i \(0.490768\pi\)
\(410\) 10.7018 5.51718i 0.528526 0.272474i
\(411\) −1.13118 0.218017i −0.0557969 0.0107540i
\(412\) −5.87818 1.72599i −0.289597 0.0850334i
\(413\) −17.1611 + 17.0908i −0.844445 + 0.840981i
\(414\) 1.36010 5.26909i 0.0668451 0.258962i
\(415\) −8.79220 15.2285i −0.431592 0.747540i
\(416\) −1.20548 + 1.14942i −0.0591036 + 0.0563552i
\(417\) −0.798497 2.30711i −0.0391026 0.112979i
\(418\) 0.549408 11.5335i 0.0268724 0.564121i
\(419\) −3.06553 + 21.3212i −0.149761 + 1.04161i 0.766849 + 0.641828i \(0.221824\pi\)
−0.916610 + 0.399783i \(0.869086\pi\)
\(420\) 0.697022 3.17276i 0.0340112 0.154815i
\(421\) −5.66112 12.3961i −0.275906 0.604150i 0.720057 0.693915i \(-0.244116\pi\)
−0.995963 + 0.0897648i \(0.971388\pi\)
\(422\) −7.24573 + 20.9352i −0.352717 + 1.01911i
\(423\) 5.33482 + 2.13574i 0.259388 + 0.103843i
\(424\) −7.25031 10.1816i −0.352106 0.494464i
\(425\) −0.528270 0.503704i −0.0256248 0.0244332i
\(426\) −10.2005 + 2.99513i −0.494214 + 0.145114i
\(427\) 17.3991 + 2.96258i 0.842002 + 0.143369i
\(428\) 0.0686035 + 0.477148i 0.00331607 + 0.0230638i
\(429\) 0.331490 0.957779i 0.0160045 0.0462420i
\(430\) −19.7361 1.88457i −0.951761 0.0908822i
\(431\) 1.01824 + 21.3754i 0.0490467 + 1.02962i 0.880507 + 0.474033i \(0.157202\pi\)
−0.831461 + 0.555584i \(0.812495\pi\)
\(432\) −1.91935 + 0.768391i −0.0923446 + 0.0369692i
\(433\) −12.8917 8.28497i −0.619534 0.398150i 0.192888 0.981221i \(-0.438215\pi\)
−0.812421 + 0.583071i \(0.801851\pi\)
\(434\) 7.24026 4.87869i 0.347544 0.234184i
\(435\) −17.1503 5.03579i −0.822296 0.241448i
\(436\) 2.66463 + 4.61528i 0.127613 + 0.221032i
\(437\) 19.6562 7.53778i 0.940284 0.360581i
\(438\) −6.48022 + 11.2241i −0.309637 + 0.536307i
\(439\) 2.78266 + 11.4703i 0.132809 + 0.547447i 0.998871 + 0.0475098i \(0.0151285\pi\)
−0.866061 + 0.499938i \(0.833356\pi\)
\(440\) 8.05182 9.29230i 0.383856 0.442993i
\(441\) 3.80866 5.87317i 0.181365 0.279675i
\(442\) 0.0253823 0.176538i 0.00120731 0.00839704i
\(443\) −8.37522 4.31772i −0.397919 0.205141i 0.247640 0.968852i \(-0.420345\pi\)
−0.645558 + 0.763711i \(0.723375\pi\)
\(444\) −0.0325173 0.00310502i −0.00154320 0.000147358i
\(445\) 5.58538 1.07649i 0.264772 0.0510307i
\(446\) −19.6655 + 15.4651i −0.931189 + 0.732295i
\(447\) −7.01543 + 15.3616i −0.331818 + 0.726581i
\(448\) −22.3718 + 0.486554i −1.05697 + 0.0229875i
\(449\) −2.50987 + 0.736966i −0.118448 + 0.0347796i −0.340420 0.940274i \(-0.610569\pi\)
0.221971 + 0.975053i \(0.428751\pi\)
\(450\) 2.29334 0.218988i 0.108109 0.0103232i
\(451\) −13.2516 5.30515i −0.623994 0.249810i
\(452\) 5.06958 0.977082i 0.238453 0.0459581i
\(453\) −6.83165 + 9.59371i −0.320979 + 0.450752i
\(454\) 3.73106 2.39781i 0.175107 0.112535i
\(455\) −1.97977 + 0.232585i −0.0928132 + 0.0109038i
\(456\) −11.3658 7.30434i −0.532251 0.342057i
\(457\) −0.0336680 0.00648897i −0.00157492 0.000303541i 0.188464 0.982080i \(-0.439649\pi\)
−0.190039 + 0.981777i \(0.560861\pi\)
\(458\) 18.7205 17.8499i 0.874750 0.834073i
\(459\) −0.179757 + 0.311348i −0.00839032 + 0.0145325i
\(460\) 5.62490 + 1.74130i 0.262262 + 0.0811885i
\(461\) −17.4607 −0.813227 −0.406613 0.913600i \(-0.633290\pi\)
−0.406613 + 0.913600i \(0.633290\pi\)
\(462\) 6.11498 3.32274i 0.284495 0.154588i
\(463\) −5.66982 + 6.54333i −0.263499 + 0.304094i −0.872046 0.489424i \(-0.837207\pi\)
0.608547 + 0.793518i \(0.291753\pi\)
\(464\) −1.02035 + 21.4198i −0.0473687 + 0.994391i
\(465\) 3.93934 + 3.09793i 0.182682 + 0.143663i
\(466\) 0.858039 + 18.0125i 0.0397479 + 0.834411i
\(467\) 4.84240 6.80020i 0.224079 0.314676i −0.687197 0.726471i \(-0.741159\pi\)
0.911276 + 0.411796i \(0.135098\pi\)
\(468\) −0.203987 0.235414i −0.00942932 0.0108820i
\(469\) −7.07167 5.31650i −0.326540 0.245493i
\(470\) 4.66785 10.2212i 0.215312 0.471467i
\(471\) −11.3882 10.8586i −0.524738 0.500337i
\(472\) −6.64253 + 27.3809i −0.305747 + 1.26031i
\(473\) 13.6338 + 19.1459i 0.626881 + 0.880331i
\(474\) −4.49240 + 3.53286i −0.206343 + 0.162270i
\(475\) 5.83632 + 6.73547i 0.267789 + 0.309045i
\(476\) −0.523466 + 0.430404i −0.0239930 + 0.0197275i
\(477\) 3.41640 2.19559i 0.156426 0.100529i
\(478\) −18.9407 + 7.58273i −0.866330 + 0.346826i
\(479\) −29.4509 + 15.1830i −1.34564 + 0.693728i −0.972250 0.233945i \(-0.924837\pi\)
−0.373395 + 0.927673i \(0.621806\pi\)
\(480\) −2.14728 6.20415i −0.0980094 0.283180i
\(481\) 0.00472577 + 0.0194799i 0.000215477 + 0.000888207i
\(482\) 1.24255 0.0565966
\(483\) 10.0296 + 7.77223i 0.456362 + 0.353649i
\(484\) 4.00841 0.182201
\(485\) −5.15184 21.2362i −0.233933 0.964284i
\(486\) −0.371122 1.07229i −0.0168344 0.0486399i
\(487\) 27.3400 14.0947i 1.23889 0.638693i 0.290828 0.956775i \(-0.406069\pi\)
0.948063 + 0.318082i \(0.103039\pi\)
\(488\) 19.0611 7.63092i 0.862856 0.345435i
\(489\) 8.29778 5.33266i 0.375239 0.241151i
\(490\) −11.1170 7.98543i −0.502215 0.360745i
\(491\) −10.4522 12.0625i −0.471703 0.544374i 0.469181 0.883102i \(-0.344549\pi\)
−0.940885 + 0.338727i \(0.890004\pi\)
\(492\) −3.44844 + 2.71188i −0.155467 + 0.122261i
\(493\) 2.16302 + 3.03754i 0.0974175 + 0.136804i
\(494\) −0.513407 + 2.11629i −0.0230993 + 0.0952166i
\(495\) 2.89122 + 2.75677i 0.129951 + 0.123908i
\(496\) 2.49765 5.46908i 0.112148 0.245569i
\(497\) 2.99343 24.6070i 0.134274 1.10378i
\(498\) −7.58227 8.75041i −0.339770 0.392115i
\(499\) 16.0863 22.5900i 0.720122 1.01127i −0.278584 0.960412i \(-0.589865\pi\)
0.998706 0.0508576i \(-0.0161955\pi\)
\(500\) 0.410714 + 8.62194i 0.0183677 + 0.385585i
\(501\) 2.23270 + 1.75582i 0.0997498 + 0.0784441i
\(502\) 0.689319 14.4706i 0.0307658 0.645854i
\(503\) 1.83018 2.11214i 0.0816039 0.0941759i −0.713479 0.700676i \(-0.752882\pi\)
0.795083 + 0.606500i \(0.207427\pi\)
\(504\) 0.210516 8.14043i 0.00937714 0.362604i
\(505\) −19.5153 −0.868417
\(506\) 5.07223 + 11.5504i 0.225488 + 0.513477i
\(507\) 6.40443 11.0928i 0.284431 0.492648i
\(508\) −9.14762 + 8.72223i −0.405860 + 0.386987i
\(509\) 10.4495 + 2.01398i 0.463167 + 0.0892682i 0.415496 0.909595i \(-0.363608\pi\)
0.0476711 + 0.998863i \(0.484820\pi\)
\(510\) 0.591393 + 0.380065i 0.0261873 + 0.0168296i
\(511\) −18.0603 24.2293i −0.798939 1.07184i
\(512\) −17.3322 + 11.1387i −0.765983 + 0.492267i
\(513\) 2.54624 3.57569i 0.112419 0.157871i
\(514\) −3.27914 + 0.632003i −0.144637 + 0.0278764i
\(515\) −13.7566 5.50729i −0.606186 0.242680i
\(516\) 7.19110 0.686667i 0.316571 0.0302288i
\(517\) −12.7817 + 3.75304i −0.562137 + 0.165058i
\(518\) −0.0662120 + 0.120668i −0.00290919 + 0.00530185i
\(519\) 6.36038 13.9273i 0.279190 0.611340i
\(520\) −1.82280 + 1.43346i −0.0799349 + 0.0628615i
\(521\) −0.412945 + 0.0795886i −0.0180915 + 0.00348684i −0.198289 0.980144i \(-0.563538\pi\)
0.180197 + 0.983630i \(0.442326\pi\)
\(522\) −11.7161 1.11875i −0.512799 0.0489664i
\(523\) −15.5074 7.99464i −0.678093 0.349581i 0.0845335 0.996421i \(-0.473060\pi\)
−0.762626 + 0.646840i \(0.776090\pi\)
\(524\) −1.24615 + 8.66715i −0.0544382 + 0.378626i
\(525\) −1.64612 + 5.11325i −0.0718424 + 0.223160i
\(526\) −9.62315 + 11.1057i −0.419589 + 0.484232i
\(527\) −0.246490 1.01604i −0.0107373 0.0442596i
\(528\) 2.39634 4.15059i 0.104288 0.180631i
\(529\) −15.5633 + 16.9347i −0.676667 + 0.736290i
\(530\) −3.97051 6.87713i −0.172468 0.298723i
\(531\) −8.78342 2.57904i −0.381168 0.111921i
\(532\) 6.86208 4.62386i 0.297509 0.200470i
\(533\) 2.26473 + 1.45545i 0.0980964 + 0.0630427i
\(534\) 3.47708 1.39201i 0.150468 0.0602384i
\(535\) 0.0554787 + 1.16464i 0.00239855 + 0.0503518i
\(536\) −10.2455 0.978323i −0.442537 0.0422571i
\(537\) −4.64035 + 13.4074i −0.200246 + 0.578572i
\(538\) 3.92309 + 27.2857i 0.169136 + 1.17637i
\(539\) 1.47609 + 16.1599i 0.0635799 + 0.696058i
\(540\) 1.17805 0.345908i 0.0506953 0.0148855i
\(541\) 15.1426 + 14.4384i 0.651030 + 0.620755i 0.941855 0.336021i \(-0.109081\pi\)
−0.290825 + 0.956776i \(0.593930\pi\)
\(542\) 7.60262 + 10.6764i 0.326561 + 0.458590i
\(543\) 2.73653 + 1.09554i 0.117436 + 0.0470142i
\(544\) −0.447969 + 1.29432i −0.0192065 + 0.0554935i
\(545\) 5.35473 + 11.7252i 0.229372 + 0.502254i
\(546\) −1.25104 + 0.397083i −0.0535396 + 0.0169936i
\(547\) −5.01513 + 34.8810i −0.214431 + 1.49140i 0.543689 + 0.839287i \(0.317027\pi\)
−0.758120 + 0.652115i \(0.773882\pi\)
\(548\) 0.0390536 0.819835i 0.00166829 0.0350216i
\(549\) 2.18184 + 6.30401i 0.0931186 + 0.269048i
\(550\) −3.86514 + 3.68540i −0.164810 + 0.157146i
\(551\) −22.7653 39.4307i −0.969834 1.67980i
\(552\) 14.6718 + 1.61767i 0.624474 + 0.0688526i
\(553\) −3.42254 12.8789i −0.145541 0.547666i
\(554\) 28.4158 + 8.34363i 1.20727 + 0.354487i
\(555\) −0.0775806 0.0149524i −0.00329311 0.000634696i
\(556\) 1.54605 0.797045i 0.0655672 0.0338022i
\(557\) 8.74824 + 6.87969i 0.370675 + 0.291502i 0.786068 0.618140i \(-0.212114\pi\)
−0.415393 + 0.909642i \(0.636356\pi\)
\(558\) 2.93302 + 1.51208i 0.124165 + 0.0640114i
\(559\) −1.84149 4.03229i −0.0778865 0.170548i
\(560\) −9.40081 0.691779i −0.397257 0.0292330i
\(561\) −0.118607 0.824931i −0.00500760 0.0348286i
\(562\) 0.646332 0.0617172i 0.0272639 0.00260338i
\(563\) 5.42313 22.3545i 0.228558 0.942128i −0.735731 0.677274i \(-0.763161\pi\)
0.964289 0.264854i \(-0.0853237\pi\)
\(564\) −0.965241 + 3.97878i −0.0406440 + 0.167537i
\(565\) 12.4311 1.18703i 0.522980 0.0499386i
\(566\) −1.65557 11.5148i −0.0695889 0.484001i
\(567\) 2.63862 + 0.194168i 0.110811 + 0.00815430i
\(568\) −11.9791 26.2307i −0.502634 1.10061i
\(569\) −8.79319 4.53320i −0.368630 0.190042i 0.263951 0.964536i \(-0.414974\pi\)
−0.632581 + 0.774494i \(0.718004\pi\)
\(570\) −6.74706 5.30595i −0.282603 0.222242i
\(571\) −0.315955 + 0.162886i −0.0132223 + 0.00681658i −0.464825 0.885403i \(-0.653883\pi\)
0.451603 + 0.892219i \(0.350852\pi\)
\(572\) 0.709056 + 0.136659i 0.0296471 + 0.00571401i
\(573\) −12.4178 3.64621i −0.518763 0.152323i
\(574\) 4.74769 + 17.8654i 0.198165 + 0.745687i
\(575\) −8.98568 3.75059i −0.374729 0.156410i
\(576\) −4.22888 7.32464i −0.176203 0.305193i
\(577\) −23.7630 + 22.6580i −0.989268 + 0.943265i −0.998392 0.0566937i \(-0.981944\pi\)
0.00912409 + 0.999958i \(0.497096\pi\)
\(578\) 6.26110 + 18.0903i 0.260428 + 0.752456i
\(579\) −0.844856 + 17.7357i −0.0351110 + 0.737071i
\(580\) 1.81238 12.6054i 0.0752548 0.523409i
\(581\) 25.7322 8.16746i 1.06755 0.338843i
\(582\) −5.97721 13.0883i −0.247763 0.542526i
\(583\) −3.07912 + 8.89653i −0.127524 + 0.368457i
\(584\) −32.6366 13.0657i −1.35051 0.540664i
\(585\) −0.437032 0.613726i −0.0180691 0.0253744i
\(586\) 9.64305 + 9.19463i 0.398351 + 0.379827i
\(587\) −3.38332 + 0.993433i −0.139645 + 0.0410034i −0.350808 0.936447i \(-0.614093\pi\)
0.211163 + 0.977451i \(0.432275\pi\)
\(588\) 4.52805 + 2.09043i 0.186734 + 0.0862077i
\(589\) 1.81675 + 12.6357i 0.0748577 + 0.520647i
\(590\) −5.85456 + 16.9156i −0.241028 + 0.696405i
\(591\) 2.60345 + 0.248599i 0.107091 + 0.0102260i
\(592\) 0.00451017 + 0.0946801i 0.000185367 + 0.00389133i
\(593\) −5.37281 + 2.15095i −0.220635 + 0.0883289i −0.479347 0.877626i \(-0.659126\pi\)
0.258712 + 0.965955i \(0.416702\pi\)
\(594\) 2.21285 + 1.42211i 0.0907942 + 0.0583499i
\(595\) −1.35935 + 0.915967i −0.0557279 + 0.0375510i
\(596\) −11.5447 3.38982i −0.472887 0.138852i
\(597\) 11.3128 + 19.5944i 0.463002 + 0.801944i
\(598\) −0.527068 2.32008i −0.0215534 0.0948750i
\(599\) 9.99417 17.3104i 0.408351 0.707284i −0.586354 0.810055i \(-0.699437\pi\)
0.994705 + 0.102771i \(0.0327708\pi\)
\(600\) 1.47324 + 6.07278i 0.0601448 + 0.247920i
\(601\) −12.5184 + 14.4470i −0.510637 + 0.589306i −0.951262 0.308385i \(-0.900211\pi\)
0.440625 + 0.897691i \(0.354757\pi\)
\(602\) 9.32774 28.9743i 0.380170 1.18090i
\(603\) 0.475893 3.30991i 0.0193799 0.134790i
\(604\) −7.45837 3.84506i −0.303477 0.156453i
\(605\) 9.65139 + 0.921596i 0.392385 + 0.0374682i
\(606\) −12.6176 + 2.43184i −0.512555 + 0.0987869i
\(607\) −12.9773 + 10.2054i −0.526731 + 0.414226i −0.845796 0.533507i \(-0.820874\pi\)
0.319065 + 0.947733i \(0.396631\pi\)
\(608\) 6.94712 15.2121i 0.281743 0.616931i
\(609\) 13.2013 24.0587i 0.534942 0.974906i
\(610\) 12.5159 3.67499i 0.506752 0.148796i
\(611\) 2.50101 0.238818i 0.101180 0.00966154i
\(612\) −0.237795 0.0951987i −0.00961229 0.00384818i
\(613\) 32.4099 6.24649i 1.30902 0.252293i 0.513433 0.858130i \(-0.328373\pi\)
0.795589 + 0.605836i \(0.207161\pi\)
\(614\) −18.2150 + 25.5794i −0.735099 + 1.03230i
\(615\) −8.92659 + 5.73677i −0.359955 + 0.231329i
\(616\) 11.2816 + 15.1352i 0.454550 + 0.609816i
\(617\) 34.0737 + 21.8979i 1.37176 + 0.881575i 0.998926 0.0463246i \(-0.0147509\pi\)
0.372831 + 0.927899i \(0.378387\pi\)
\(618\) −9.58059 1.84651i −0.385388 0.0742774i
\(619\) 16.8876 16.1023i 0.678769 0.647205i −0.270116 0.962828i \(-0.587062\pi\)
0.948885 + 0.315623i \(0.102214\pi\)
\(620\) −1.78529 + 3.09221i −0.0716990 + 0.124186i
\(621\) −0.751814 + 4.73654i −0.0301693 + 0.190071i
\(622\) −4.56613 −0.183085
\(623\) −0.225766 + 8.73013i −0.00904513 + 0.349765i
\(624\) −0.591929 + 0.683122i −0.0236961 + 0.0273468i
\(625\) −0.510379 + 10.7142i −0.0204152 + 0.428567i
\(626\) 27.2051 + 21.3943i 1.08733 + 0.855089i
\(627\) 0.484190 + 10.1644i 0.0193367 + 0.405927i
\(628\) 6.50298 9.13215i 0.259497 0.364413i
\(629\) 0.0107940 + 0.0124569i 0.000430384 + 0.000496690i
\(630\) 0.624746 5.13563i 0.0248905 0.204608i
\(631\) 5.73650 12.5612i 0.228367 0.500053i −0.760412 0.649441i \(-0.775003\pi\)
0.988779 + 0.149388i \(0.0477303\pi\)
\(632\) −11.2194 10.6977i −0.446285 0.425531i
\(633\) 4.60292 18.9735i 0.182950 0.754129i
\(634\) 22.3965 + 31.4515i 0.889479 + 1.24910i
\(635\) −24.0309 + 18.8981i −0.953635 + 0.749947i
\(636\) 1.89478 + 2.18669i 0.0751329 + 0.0867080i
\(637\) 0.303432 3.04537i 0.0120224 0.120662i
\(638\) 22.9523 14.7506i 0.908691 0.583980i
\(639\) 8.69801 3.48216i 0.344088 0.137752i
\(640\) −3.02896 + 1.56154i −0.119730 + 0.0617252i
\(641\) −8.60178 24.8532i −0.339750 0.981643i −0.977415 0.211329i \(-0.932221\pi\)
0.637665 0.770314i \(-0.279900\pi\)
\(642\) 0.180999 + 0.746086i 0.00714345 + 0.0294457i
\(643\) 28.4064 1.12024 0.560120 0.828411i \(-0.310755\pi\)
0.560120 + 0.828411i \(0.310755\pi\)
\(644\) −4.46418 + 7.86112i −0.175913 + 0.309771i
\(645\) 17.4725 0.687978
\(646\) 0.422173 + 1.74022i 0.0166102 + 0.0684680i
\(647\) −14.7428 42.5964i −0.579598 1.67464i −0.727890 0.685694i \(-0.759499\pi\)
0.148292 0.988944i \(-0.452622\pi\)
\(648\) 2.73568 1.41034i 0.107468 0.0554034i
\(649\) 19.7010 7.88708i 0.773331 0.309595i
\(650\) 0.847333 0.544548i 0.0332351 0.0213589i
\(651\) −5.94322 + 4.88663i −0.232933 + 0.191522i
\(652\) 4.60205 + 5.31105i 0.180230 + 0.207997i
\(653\) 5.01799 3.94619i 0.196369 0.154426i −0.515133 0.857110i \(-0.672258\pi\)
0.711502 + 0.702684i \(0.248015\pi\)
\(654\) 4.92322 + 6.91369i 0.192513 + 0.270347i
\(655\) −4.99316 + 20.5821i −0.195099 + 0.804209i
\(656\) 9.21330 + 8.78486i 0.359719 + 0.342991i
\(657\) 4.74486 10.3898i 0.185115 0.405345i
\(658\) 13.7893 + 10.3668i 0.537562 + 0.404140i
\(659\) −27.6702 31.9332i −1.07788 1.24394i −0.968255 0.249966i \(-0.919581\pi\)
−0.109625 0.993973i \(-0.534965\pi\)
\(660\) −1.65097 + 2.31847i −0.0642640 + 0.0902462i
\(661\) 1.85504 + 38.9422i 0.0721528 + 1.51467i 0.687365 + 0.726312i \(0.258767\pi\)
−0.615212 + 0.788362i \(0.710930\pi\)
\(662\) 0.502023 + 0.394795i 0.0195117 + 0.0153441i
\(663\) −0.00747901 + 0.157004i −0.000290461 + 0.00609752i
\(664\) 20.5667 23.7352i 0.798142 0.921105i
\(665\) 17.5855 9.55556i 0.681937 0.370549i
\(666\) −0.0520231 −0.00201585
\(667\) 41.4497 + 27.5022i 1.60494 + 1.06489i
\(668\) −1.01185 + 1.75258i −0.0391497 + 0.0678092i
\(669\) 15.9571 15.2151i 0.616937 0.588249i
\(670\) −6.42056 1.23746i −0.248048 0.0478073i
\(671\) −13.0094 8.36063i −0.502222 0.322759i
\(672\) 10.0108 1.17607i 0.386173 0.0453680i
\(673\) −19.2689 + 12.3834i −0.742763 + 0.477345i −0.856488 0.516167i \(-0.827358\pi\)
0.113724 + 0.993512i \(0.463722\pi\)
\(674\) 6.45444 9.06399i 0.248616 0.349132i
\(675\) −1.99362 + 0.384238i −0.0767343 + 0.0147893i
\(676\) 8.47223 + 3.39177i 0.325855 + 0.130453i
\(677\) −37.4325 + 3.57437i −1.43865 + 0.137374i −0.785033 0.619454i \(-0.787354\pi\)
−0.653614 + 0.756828i \(0.726748\pi\)
\(678\) 7.88942 2.31654i 0.302991 0.0889663i
\(679\) 33.5417 0.729480i 1.28721 0.0279949i
\(680\) −0.792130 + 1.73452i −0.0303768 + 0.0665159i
\(681\) −3.07241 + 2.41617i −0.117735 + 0.0925877i
\(682\) −7.51138 + 1.44770i −0.287626 + 0.0554353i
\(683\) 40.8136 + 3.89722i 1.56169 + 0.149123i 0.839803 0.542891i \(-0.182670\pi\)
0.721884 + 0.692014i \(0.243276\pi\)
\(684\) 2.77982 + 1.43310i 0.106289 + 0.0547959i
\(685\) 0.282525 1.96501i 0.0107947 0.0750790i
\(686\) 15.6368 14.0397i 0.597015 0.536038i
\(687\) −14.9282 + 17.2281i −0.569547 + 0.657293i
\(688\) −4.94197 20.3711i −0.188411 0.776641i
\(689\) 0.887768 1.53766i 0.0338213 0.0585801i
\(690\) 9.18135 + 1.90912i 0.349528 + 0.0726790i
\(691\) 1.78627 + 3.09391i 0.0679530 + 0.117698i 0.898000 0.439995i \(-0.145020\pi\)
−0.830047 + 0.557693i \(0.811687\pi\)
\(692\) 10.4667 + 3.07330i 0.397885 + 0.116829i
\(693\) −5.08635 + 3.42732i −0.193214 + 0.130193i
\(694\) 0.151277 + 0.0972195i 0.00574238 + 0.00369040i
\(695\) 3.90581 1.56365i 0.148156 0.0593127i
\(696\) −1.51901 31.8879i −0.0575779 1.20871i
\(697\) 2.20367 + 0.210425i 0.0834700 + 0.00797042i
\(698\) −7.98106 + 23.0598i −0.302088 + 0.872825i
\(699\) −2.26171 15.7305i −0.0855457 0.594984i
\(700\) −3.77287 0.642414i −0.142601 0.0242810i
\(701\) −1.19072 + 0.349627i −0.0449729 + 0.0132052i −0.304142 0.952627i \(-0.598370\pi\)
0.259169 + 0.965832i \(0.416551\pi\)
\(702\) −0.359041 0.342345i −0.0135511 0.0129210i
\(703\) −0.116739 0.163937i −0.00440290 0.00618301i
\(704\) 18.2021 + 7.28702i 0.686018 + 0.274640i
\(705\) −3.23887 + 9.35811i −0.121983 + 0.352447i
\(706\) −1.65488 3.62367i −0.0622821 0.136379i
\(707\) 6.42898 29.2639i 0.241787 1.10058i
\(708\) 0.928195 6.45574i 0.0348837 0.242621i
\(709\) 0.552744 11.6035i 0.0207587 0.435779i −0.964433 0.264326i \(-0.914851\pi\)
0.985192 0.171454i \(-0.0548463\pi\)
\(710\) −5.99200 17.3128i −0.224876 0.649736i
\(711\) 3.64525 3.47573i 0.136707 0.130350i
\(712\) 5.07961 + 8.79814i 0.190366 + 0.329724i
\(713\) −7.92315 11.4779i −0.296724 0.429849i
\(714\) −0.764748 + 0.761611i −0.0286200 + 0.0285026i
\(715\) 1.67583 + 0.492069i 0.0626726 + 0.0184023i
\(716\) −9.92566 1.91302i −0.370939 0.0714927i
\(717\) 15.9816 8.23908i 0.596843 0.307694i
\(718\) 30.3378 + 23.8579i 1.13220 + 0.890369i
\(719\) −28.7106 14.8013i −1.07072 0.551996i −0.169580 0.985516i \(-0.554241\pi\)
−0.901144 + 0.433520i \(0.857271\pi\)
\(720\) −1.48003 3.24082i −0.0551576 0.120778i
\(721\) 12.7903 18.8142i 0.476335 0.700678i
\(722\) −0.0434215 0.302003i −0.00161598 0.0112394i
\(723\) −1.09009 + 0.104091i −0.0405411 + 0.00387120i
\(724\) −0.495126 + 2.04094i −0.0184012 + 0.0758508i
\(725\) −4.96484 + 20.4653i −0.184389 + 0.760063i
\(726\) 6.35496 0.606825i 0.235855 0.0225214i
\(727\) 6.02136 + 41.8795i 0.223320 + 1.55322i 0.725354 + 0.688376i \(0.241676\pi\)
−0.502035 + 0.864847i \(0.667415\pi\)
\(728\) −1.54905 3.20559i −0.0574114 0.118807i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −19.8517 10.2342i −0.734743 0.378787i
\(731\) −2.86527 2.25327i −0.105976 0.0833404i
\(732\) −4.22448 + 2.17787i −0.156141 + 0.0804964i
\(733\) −14.5396 2.80228i −0.537032 0.103504i −0.0864782 0.996254i \(-0.527561\pi\)
−0.450554 + 0.892749i \(0.648773\pi\)
\(734\) 32.0001 + 9.39609i 1.18115 + 0.346816i
\(735\) 10.4220 + 6.07436i 0.384420 + 0.224056i
\(736\) 0.602576 + 18.2609i 0.0222112 + 0.673106i
\(737\) 3.87592 + 6.71329i 0.142771 + 0.247287i
\(738\) −5.05662 + 4.82148i −0.186137 + 0.177481i
\(739\) 1.46618 + 4.23625i 0.0539343 + 0.155833i 0.968750 0.248038i \(-0.0797857\pi\)
−0.914816 + 0.403871i \(0.867665\pi\)
\(740\) 0.00267844 0.0562275i 9.84616e−5 0.00206696i
\(741\) 0.273128 1.89964i 0.0100336 0.0697852i
\(742\) 11.6206 3.68838i 0.426604 0.135405i
\(743\) −1.91653 4.19662i −0.0703108 0.153959i 0.871213 0.490904i \(-0.163334\pi\)
−0.941524 + 0.336945i \(0.890606\pi\)
\(744\) −2.92750 + 8.45846i −0.107327 + 0.310102i
\(745\) −27.0177 10.8162i −0.989850 0.396276i
\(746\) −14.5232 20.3950i −0.531732 0.746713i
\(747\) 7.38500 + 7.04159i 0.270203 + 0.257638i
\(748\) 0.569731 0.167288i 0.0208314 0.00611666i
\(749\) −1.76470 0.300479i −0.0644808 0.0109793i
\(750\) 1.95640 + 13.6071i 0.0714378 + 0.496861i
\(751\) −17.4597 + 50.4464i −0.637113 + 1.84082i −0.104370 + 0.994538i \(0.533283\pi\)
−0.532742 + 0.846278i \(0.678838\pi\)
\(752\) 11.8267 + 1.12931i 0.431274 + 0.0411817i
\(753\) 0.607494 + 12.7529i 0.0221383 + 0.464740i
\(754\) −4.77706 + 1.91245i −0.173970 + 0.0696472i
\(755\) −17.0741 10.9729i −0.621390 0.399343i
\(756\) 0.130612 + 1.88049i 0.00475031 + 0.0683928i
\(757\) 40.0943 + 11.7728i 1.45725 + 0.427888i 0.911933 0.410339i \(-0.134590\pi\)
0.545321 + 0.838228i \(0.316408\pi\)
\(758\) 8.18245 + 14.1724i 0.297200 + 0.514766i
\(759\) −5.41749 9.70830i −0.196643 0.352389i
\(760\) 11.6412 20.1632i 0.422271 0.731394i
\(761\) −1.69999 7.00744i −0.0616245 0.254020i 0.932664 0.360747i \(-0.117478\pi\)
−0.994288 + 0.106727i \(0.965963\pi\)
\(762\) −13.1822 + 15.2131i −0.477542 + 0.551113i
\(763\) −19.3465 + 4.16695i −0.700389 + 0.150854i
\(764\) 1.31227 9.12701i 0.0474761 0.330204i
\(765\) −0.550671 0.283891i −0.0199096 0.0102641i
\(766\) −30.5373 2.91596i −1.10336 0.105358i
\(767\) −3.92996 + 0.757439i −0.141903 + 0.0273495i
\(768\) 11.5327 9.06942i 0.416151 0.327265i
\(769\) 4.84437 10.6077i 0.174692 0.382523i −0.801951 0.597390i \(-0.796205\pi\)
0.976643 + 0.214867i \(0.0689318\pi\)
\(770\) 6.22093 + 10.2534i 0.224187 + 0.369508i
\(771\) 2.82386 0.829161i 0.101699 0.0298615i
\(772\) −12.5932 + 1.20251i −0.453240 + 0.0432792i