Properties

Label 546.2.bv.a.515.29
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.29
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(0.541568 - 1.64521i) q^{3} +(0.866025 + 0.500000i) q^{4} +(2.59930 + 0.696480i) q^{5} +(0.948926 - 1.44898i) q^{6} +(-2.64286 - 0.123744i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.41341 - 1.78198i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(0.541568 - 1.64521i) q^{3} +(0.866025 + 0.500000i) q^{4} +(2.59930 + 0.696480i) q^{5} +(0.948926 - 1.44898i) q^{6} +(-2.64286 - 0.123744i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.41341 - 1.78198i) q^{9} +(2.33047 + 1.34550i) q^{10} +(2.18309 - 0.584957i) q^{11} +(1.29162 - 1.15401i) q^{12} +(3.60118 + 0.177392i) q^{13} +(-2.52078 - 0.803549i) q^{14} +(2.55355 - 3.89919i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.76493 - 4.78900i) q^{17} +(-1.86996 - 2.34590i) q^{18} +(-1.13617 + 4.24023i) q^{19} +(1.90282 + 1.90282i) q^{20} +(-1.63487 + 4.28103i) q^{21} +2.26010 q^{22} +(0.278595 + 0.482540i) q^{23} +(1.54628 - 0.780390i) q^{24} +(1.94114 + 1.12072i) q^{25} +(3.43257 + 1.10340i) q^{26} +(-4.23876 + 3.00549i) q^{27} +(-2.22691 - 1.42859i) q^{28} -3.74020i q^{29} +(3.47572 - 3.10542i) q^{30} +(-6.07629 + 1.62814i) q^{31} +(0.258819 + 0.965926i) q^{32} +(0.219917 - 3.90842i) q^{33} +(3.91020 - 3.91020i) q^{34} +(-6.78338 - 2.16234i) q^{35} +(-1.19908 - 2.74995i) q^{36} +(-5.40435 - 1.44809i) q^{37} +(-2.19491 + 3.80169i) q^{38} +(2.24213 - 5.82862i) q^{39} +(1.34550 + 2.33047i) q^{40} +(-2.93748 + 2.93748i) q^{41} +(-2.68718 + 3.71202i) q^{42} +4.32548i q^{43} +(2.18309 + 0.584957i) q^{44} +(-5.03205 - 6.31279i) q^{45} +(0.144211 + 0.538204i) q^{46} +(-2.24392 + 8.37442i) q^{47} +(1.69557 - 0.353591i) q^{48} +(6.96937 + 0.654076i) q^{49} +(1.58493 + 1.58493i) q^{50} +(-6.38149 - 7.14245i) q^{51} +(3.03002 + 1.95422i) q^{52} +(9.23165 + 5.32989i) q^{53} +(-4.87220 + 1.80601i) q^{54} +6.08191 q^{55} +(-1.78128 - 1.95628i) q^{56} +(6.36074 + 4.16560i) q^{57} +(0.968035 - 3.61275i) q^{58} +(-2.68732 + 0.720065i) q^{59} +(4.16103 - 2.10002i) q^{60} +(-6.48698 - 11.2358i) q^{61} -6.29064 q^{62} +(6.15778 + 5.00817i) q^{63} +1.00000i q^{64} +(9.23700 + 2.96925i) q^{65} +(1.22400 - 3.71833i) q^{66} +(-12.6447 + 3.38815i) q^{67} +(4.78900 - 2.76493i) q^{68} +(0.944757 - 0.197017i) q^{69} +(-5.99259 - 3.84433i) q^{70} +(11.0594 - 11.0594i) q^{71} +(-0.446484 - 2.96659i) q^{72} +(0.788281 + 2.94191i) q^{73} +(-4.84541 - 2.79750i) q^{74} +(2.89507 - 2.58663i) q^{75} +(-3.10406 + 3.10406i) q^{76} +(-5.84197 + 1.27581i) q^{77} +(3.67429 - 5.04971i) q^{78} +(3.11621 + 5.39743i) q^{79} +(0.696480 + 2.59930i) q^{80} +(2.64907 + 8.60130i) q^{81} +(-3.59766 + 2.07711i) q^{82} +(-11.5170 + 11.5170i) q^{83} +(-3.55635 + 2.89004i) q^{84} +(10.5223 - 10.5223i) q^{85} +(-1.11952 + 4.17809i) q^{86} +(-6.15340 - 2.02557i) q^{87} +(1.95730 + 1.13005i) q^{88} +(0.622170 - 2.32197i) q^{89} +(-3.22671 - 7.40008i) q^{90} +(-9.49546 - 0.914446i) q^{91} +0.557190i q^{92} +(-0.612106 + 10.8785i) q^{93} +(-4.33492 + 7.50830i) q^{94} +(-5.90647 + 10.2303i) q^{95} +(1.72932 + 0.0973042i) q^{96} +(-1.99264 - 1.99264i) q^{97} +(6.56261 + 2.43560i) q^{98} +(-6.31106 - 2.47849i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) 0.541568 1.64521i 0.312675 0.949860i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 2.59930 + 0.696480i 1.16244 + 0.311475i 0.787940 0.615751i \(-0.211147\pi\)
0.374501 + 0.927227i \(0.377814\pi\)
\(6\) 0.948926 1.44898i 0.387397 0.591543i
\(7\) −2.64286 0.123744i −0.998906 0.0467709i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −2.41341 1.78198i −0.804469 0.593995i
\(10\) 2.33047 + 1.34550i 0.736958 + 0.425483i
\(11\) 2.18309 0.584957i 0.658226 0.176371i 0.0857806 0.996314i \(-0.472662\pi\)
0.572445 + 0.819943i \(0.305995\pi\)
\(12\) 1.29162 1.15401i 0.372857 0.333133i
\(13\) 3.60118 + 0.177392i 0.998789 + 0.0491996i
\(14\) −2.52078 0.803549i −0.673706 0.214758i
\(15\) 2.55355 3.89919i 0.659324 1.00677i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.76493 4.78900i 0.670594 1.16150i −0.307142 0.951664i \(-0.599373\pi\)
0.977736 0.209839i \(-0.0672941\pi\)
\(18\) −1.86996 2.34590i −0.440754 0.552934i
\(19\) −1.13617 + 4.24023i −0.260654 + 0.972776i 0.704202 + 0.709999i \(0.251305\pi\)
−0.964857 + 0.262776i \(0.915362\pi\)
\(20\) 1.90282 + 1.90282i 0.425483 + 0.425483i
\(21\) −1.63487 + 4.28103i −0.356758 + 0.934197i
\(22\) 2.26010 0.481855
\(23\) 0.278595 + 0.482540i 0.0580910 + 0.100617i 0.893608 0.448847i \(-0.148165\pi\)
−0.835517 + 0.549464i \(0.814832\pi\)
\(24\) 1.54628 0.780390i 0.315634 0.159296i
\(25\) 1.94114 + 1.12072i 0.388227 + 0.224143i
\(26\) 3.43257 + 1.10340i 0.673181 + 0.216395i
\(27\) −4.23876 + 3.00549i −0.815749 + 0.578406i
\(28\) −2.22691 1.42859i −0.420846 0.269979i
\(29\) 3.74020i 0.694537i −0.937766 0.347269i \(-0.887109\pi\)
0.937766 0.347269i \(-0.112891\pi\)
\(30\) 3.47572 3.10542i 0.634578 0.566970i
\(31\) −6.07629 + 1.62814i −1.09133 + 0.292422i −0.759231 0.650821i \(-0.774425\pi\)
−0.332103 + 0.943243i \(0.607758\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 0.219917 3.90842i 0.0382827 0.680369i
\(34\) 3.91020 3.91020i 0.670594 0.670594i
\(35\) −6.78338 2.16234i −1.14660 0.365503i
\(36\) −1.19908 2.74995i −0.199847 0.458324i
\(37\) −5.40435 1.44809i −0.888470 0.238065i −0.214412 0.976743i \(-0.568783\pi\)
−0.674058 + 0.738679i \(0.735450\pi\)
\(38\) −2.19491 + 3.80169i −0.356061 + 0.616715i
\(39\) 2.24213 5.82862i 0.359029 0.933327i
\(40\) 1.34550 + 2.33047i 0.212742 + 0.368479i
\(41\) −2.93748 + 2.93748i −0.458757 + 0.458757i −0.898247 0.439491i \(-0.855159\pi\)
0.439491 + 0.898247i \(0.355159\pi\)
\(42\) −2.68718 + 3.71202i −0.414640 + 0.572777i
\(43\) 4.32548i 0.659629i 0.944046 + 0.329815i \(0.106986\pi\)
−0.944046 + 0.329815i \(0.893014\pi\)
\(44\) 2.18309 + 0.584957i 0.329113 + 0.0881855i
\(45\) −5.03205 6.31279i −0.750133 0.941056i
\(46\) 0.144211 + 0.538204i 0.0212628 + 0.0793538i
\(47\) −2.24392 + 8.37442i −0.327309 + 1.22153i 0.584661 + 0.811278i \(0.301228\pi\)
−0.911970 + 0.410257i \(0.865439\pi\)
\(48\) 1.69557 0.353591i 0.244735 0.0510365i
\(49\) 6.96937 + 0.654076i 0.995625 + 0.0934394i
\(50\) 1.58493 + 1.58493i 0.224143 + 0.224143i
\(51\) −6.38149 7.14245i −0.893588 1.00014i
\(52\) 3.03002 + 1.95422i 0.420188 + 0.271001i
\(53\) 9.23165 + 5.32989i 1.26806 + 0.732117i 0.974621 0.223859i \(-0.0718656\pi\)
0.293443 + 0.955977i \(0.405199\pi\)
\(54\) −4.87220 + 1.80601i −0.663023 + 0.245766i
\(55\) 6.08191 0.820084
\(56\) −1.78128 1.95628i −0.238034 0.261419i
\(57\) 6.36074 + 4.16560i 0.842501 + 0.551748i
\(58\) 0.968035 3.61275i 0.127109 0.474378i
\(59\) −2.68732 + 0.720065i −0.349859 + 0.0937445i −0.429469 0.903082i \(-0.641299\pi\)
0.0796097 + 0.996826i \(0.474633\pi\)
\(60\) 4.16103 2.10002i 0.537187 0.271112i
\(61\) −6.48698 11.2358i −0.830573 1.43859i −0.897585 0.440842i \(-0.854680\pi\)
0.0670122 0.997752i \(-0.478653\pi\)
\(62\) −6.29064 −0.798912
\(63\) 6.15778 + 5.00817i 0.775807 + 0.630970i
\(64\) 1.00000i 0.125000i
\(65\) 9.23700 + 2.96925i 1.14571 + 0.368290i
\(66\) 1.22400 3.71833i 0.150664 0.457695i
\(67\) −12.6447 + 3.38815i −1.54480 + 0.413928i −0.927813 0.373045i \(-0.878314\pi\)
−0.616988 + 0.786973i \(0.711647\pi\)
\(68\) 4.78900 2.76493i 0.580752 0.335297i
\(69\) 0.944757 0.197017i 0.113735 0.0237181i
\(70\) −5.99259 3.84433i −0.716252 0.459486i
\(71\) 11.0594 11.0594i 1.31251 1.31251i 0.392948 0.919561i \(-0.371455\pi\)
0.919561 0.392948i \(-0.128545\pi\)
\(72\) −0.446484 2.96659i −0.0526186 0.349616i
\(73\) 0.788281 + 2.94191i 0.0922614 + 0.344324i 0.996590 0.0825128i \(-0.0262945\pi\)
−0.904329 + 0.426837i \(0.859628\pi\)
\(74\) −4.84541 2.79750i −0.563267 0.325202i
\(75\) 2.89507 2.58663i 0.334294 0.298678i
\(76\) −3.10406 + 3.10406i −0.356061 + 0.356061i
\(77\) −5.84197 + 1.27581i −0.665755 + 0.145392i
\(78\) 3.67429 5.04971i 0.416032 0.571767i
\(79\) 3.11621 + 5.39743i 0.350600 + 0.607258i 0.986355 0.164634i \(-0.0526442\pi\)
−0.635754 + 0.771891i \(0.719311\pi\)
\(80\) 0.696480 + 2.59930i 0.0778688 + 0.290610i
\(81\) 2.64907 + 8.60130i 0.294341 + 0.955700i
\(82\) −3.59766 + 2.07711i −0.397295 + 0.229378i
\(83\) −11.5170 + 11.5170i −1.26416 + 1.26416i −0.315095 + 0.949060i \(0.602036\pi\)
−0.949060 + 0.315095i \(0.897964\pi\)
\(84\) −3.55635 + 2.89004i −0.388030 + 0.315329i
\(85\) 10.5223 10.5223i 1.14131 1.14131i
\(86\) −1.11952 + 4.17809i −0.120721 + 0.450535i
\(87\) −6.15340 2.02557i −0.659713 0.217164i
\(88\) 1.95730 + 1.13005i 0.208649 + 0.120464i
\(89\) 0.622170 2.32197i 0.0659499 0.246128i −0.925079 0.379774i \(-0.876002\pi\)
0.991029 + 0.133646i \(0.0426684\pi\)
\(90\) −3.22671 7.40008i −0.340126 0.780037i
\(91\) −9.49546 0.914446i −0.995395 0.0958600i
\(92\) 0.557190i 0.0580910i
\(93\) −0.612106 + 10.8785i −0.0634724 + 1.12805i
\(94\) −4.33492 + 7.50830i −0.447113 + 0.774422i
\(95\) −5.90647 + 10.2303i −0.605991 + 1.04961i
\(96\) 1.72932 + 0.0973042i 0.176498 + 0.00993107i
\(97\) −1.99264 1.99264i −0.202321 0.202321i 0.598672 0.800994i \(-0.295695\pi\)
−0.800994 + 0.598672i \(0.795695\pi\)
\(98\) 6.56261 + 2.43560i 0.662924 + 0.246032i
\(99\) −6.31106 2.47849i −0.634286 0.249097i
\(100\) 1.12072 + 1.94114i 0.112072 + 0.194114i
\(101\) −7.61277 + 13.1857i −0.757499 + 1.31203i 0.186623 + 0.982432i \(0.440246\pi\)
−0.944122 + 0.329596i \(0.893088\pi\)
\(102\) −4.31545 8.55073i −0.427293 0.846648i
\(103\) 1.47984 0.854387i 0.145813 0.0841852i −0.425319 0.905044i \(-0.639838\pi\)
0.571132 + 0.820858i \(0.306505\pi\)
\(104\) 2.42099 + 2.67186i 0.237397 + 0.261997i
\(105\) −7.23117 + 9.98901i −0.705690 + 0.974827i
\(106\) 7.53761 + 7.53761i 0.732117 + 0.732117i
\(107\) 4.66367 2.69257i 0.450854 0.260301i −0.257337 0.966322i \(-0.582845\pi\)
0.708191 + 0.706021i \(0.249512\pi\)
\(108\) −5.17361 + 0.483450i −0.497831 + 0.0465200i
\(109\) 2.97844 0.798071i 0.285283 0.0764414i −0.113340 0.993556i \(-0.536155\pi\)
0.398623 + 0.917115i \(0.369488\pi\)
\(110\) 5.87467 + 1.57411i 0.560128 + 0.150086i
\(111\) −5.30923 + 8.10703i −0.503930 + 0.769485i
\(112\) −1.21426 2.35065i −0.114737 0.222116i
\(113\) 0.511037i 0.0480743i 0.999711 + 0.0240372i \(0.00765200\pi\)
−0.999711 + 0.0240372i \(0.992348\pi\)
\(114\) 5.06587 + 5.66995i 0.474462 + 0.531039i
\(115\) 0.388071 + 1.44830i 0.0361878 + 0.135055i
\(116\) 1.87010 3.23911i 0.173634 0.300744i
\(117\) −8.37502 6.84537i −0.774271 0.632855i
\(118\) −2.78212 −0.256115
\(119\) −7.89992 + 12.3145i −0.724185 + 1.12887i
\(120\) 4.56278 0.951510i 0.416523 0.0868606i
\(121\) −5.10258 + 2.94598i −0.463871 + 0.267816i
\(122\) −3.35791 12.5319i −0.304011 1.13458i
\(123\) 3.24191 + 6.42360i 0.292313 + 0.579196i
\(124\) −6.07629 1.62814i −0.545667 0.146211i
\(125\) −5.24905 5.24905i −0.469490 0.469490i
\(126\) 4.65175 + 6.43127i 0.414411 + 0.572943i
\(127\) 11.9980i 1.06465i −0.846541 0.532324i \(-0.821319\pi\)
0.846541 0.532324i \(-0.178681\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 7.11631 + 2.34254i 0.626556 + 0.206249i
\(130\) 8.15376 + 5.25878i 0.715132 + 0.461226i
\(131\) 1.45433 0.839655i 0.127065 0.0733610i −0.435120 0.900372i \(-0.643294\pi\)
0.562185 + 0.827011i \(0.309961\pi\)
\(132\) 2.14467 3.27484i 0.186669 0.285038i
\(133\) 3.52743 11.0657i 0.305867 0.959520i
\(134\) −13.0908 −1.13087
\(135\) −13.1110 + 4.85995i −1.12842 + 0.418278i
\(136\) 5.34143 1.43123i 0.458024 0.122727i
\(137\) −11.1177 + 2.97898i −0.949849 + 0.254511i −0.700298 0.713850i \(-0.746950\pi\)
−0.249551 + 0.968362i \(0.580283\pi\)
\(138\) 0.963557 + 0.0542169i 0.0820234 + 0.00461525i
\(139\) −7.70378 −0.653426 −0.326713 0.945124i \(-0.605941\pi\)
−0.326713 + 0.945124i \(0.605941\pi\)
\(140\) −4.79341 5.26434i −0.405117 0.444918i
\(141\) 12.5624 + 8.22703i 1.05795 + 0.692841i
\(142\) 13.5449 7.82017i 1.13667 0.656254i
\(143\) 7.96547 1.71928i 0.666106 0.143773i
\(144\) 0.336539 2.98106i 0.0280449 0.248422i
\(145\) 2.60497 9.72189i 0.216331 0.807359i
\(146\) 3.04569i 0.252063i
\(147\) 4.85048 11.1118i 0.400061 0.916488i
\(148\) −3.95626 3.95626i −0.325202 0.325202i
\(149\) 9.63616 + 2.58200i 0.789425 + 0.211526i 0.630936 0.775835i \(-0.282671\pi\)
0.158489 + 0.987361i \(0.449338\pi\)
\(150\) 3.46589 1.74919i 0.282989 0.142821i
\(151\) −1.00696 3.75803i −0.0819453 0.305824i 0.912773 0.408467i \(-0.133937\pi\)
−0.994718 + 0.102643i \(0.967270\pi\)
\(152\) −3.80169 + 2.19491i −0.308358 + 0.178030i
\(153\) −15.2068 + 6.63075i −1.22940 + 0.536064i
\(154\) −5.97312 0.279674i −0.481327 0.0225368i
\(155\) −16.9281 −1.35969
\(156\) 4.85606 3.92667i 0.388796 0.314385i
\(157\) 3.21184 5.56308i 0.256333 0.443982i −0.708924 0.705285i \(-0.750819\pi\)
0.965257 + 0.261303i \(0.0841523\pi\)
\(158\) 1.61307 + 6.02005i 0.128329 + 0.478929i
\(159\) 13.7683 12.3015i 1.09190 0.975569i
\(160\) 2.69099i 0.212742i
\(161\) −0.676575 1.30976i −0.0533215 0.103223i
\(162\) 0.332623 + 8.99385i 0.0261334 + 0.706624i
\(163\) 18.2988 + 4.90314i 1.43327 + 0.384043i 0.890171 0.455626i \(-0.150584\pi\)
0.543098 + 0.839669i \(0.317251\pi\)
\(164\) −4.01267 + 1.07519i −0.313337 + 0.0839583i
\(165\) 3.29377 10.0060i 0.256420 0.778965i
\(166\) −14.1054 + 8.14375i −1.09479 + 0.632078i
\(167\) 17.0012 + 17.0012i 1.31559 + 1.31559i 0.917226 + 0.398366i \(0.130423\pi\)
0.398366 + 0.917226i \(0.369577\pi\)
\(168\) −4.18317 + 1.87111i −0.322739 + 0.144360i
\(169\) 12.9371 + 1.27764i 0.995159 + 0.0982800i
\(170\) 12.8872 7.44040i 0.988400 0.570653i
\(171\) 10.2981 8.20877i 0.787512 0.627741i
\(172\) −2.16274 + 3.74597i −0.164907 + 0.285628i
\(173\) −6.50218 11.2621i −0.494351 0.856242i 0.505627 0.862752i \(-0.331261\pi\)
−0.999979 + 0.00651019i \(0.997928\pi\)
\(174\) −5.41947 3.54917i −0.410849 0.269062i
\(175\) −4.99146 3.20210i −0.377319 0.242056i
\(176\) 1.59813 + 1.59813i 0.120464 + 0.120464i
\(177\) −0.270712 + 4.81116i −0.0203480 + 0.361629i
\(178\) 1.20194 2.08182i 0.0900892 0.156039i
\(179\) 5.11914 8.86662i 0.382623 0.662722i −0.608814 0.793313i \(-0.708354\pi\)
0.991436 + 0.130591i \(0.0416876\pi\)
\(180\) −1.20148 7.98306i −0.0895534 0.595023i
\(181\) 4.29099i 0.318947i −0.987202 0.159474i \(-0.949020\pi\)
0.987202 0.159474i \(-0.0509797\pi\)
\(182\) −8.93524 3.34089i −0.662324 0.247643i
\(183\) −21.9983 + 4.58748i −1.62616 + 0.339116i
\(184\) −0.144211 + 0.538204i −0.0106314 + 0.0396769i
\(185\) −13.0389 7.52804i −0.958642 0.553472i
\(186\) −3.40681 + 10.3494i −0.249800 + 0.758855i
\(187\) 3.23473 12.0722i 0.236547 0.882805i
\(188\) −6.13050 + 6.13050i −0.447113 + 0.447113i
\(189\) 11.5743 7.41855i 0.841909 0.539620i
\(190\) −8.35301 + 8.35301i −0.605991 + 0.605991i
\(191\) 19.1767 11.0717i 1.38758 0.801117i 0.394534 0.918882i \(-0.370906\pi\)
0.993042 + 0.117765i \(0.0375729\pi\)
\(192\) 1.64521 + 0.541568i 0.118733 + 0.0390843i
\(193\) −3.74867 13.9902i −0.269835 1.00704i −0.959224 0.282647i \(-0.908788\pi\)
0.689389 0.724391i \(-0.257879\pi\)
\(194\) −1.40901 2.44047i −0.101161 0.175216i
\(195\) 9.88749 13.5887i 0.708058 0.973109i
\(196\) 5.70862 + 4.05113i 0.407758 + 0.289367i
\(197\) −6.50161 + 6.50161i −0.463220 + 0.463220i −0.899710 0.436489i \(-0.856222\pi\)
0.436489 + 0.899710i \(0.356222\pi\)
\(198\) −5.45454 4.02746i −0.387637 0.286219i
\(199\) −13.5577 7.82757i −0.961083 0.554882i −0.0645771 0.997913i \(-0.520570\pi\)
−0.896506 + 0.443031i \(0.853903\pi\)
\(200\) 0.580125 + 2.16506i 0.0410211 + 0.153093i
\(201\) −1.27379 + 22.6381i −0.0898462 + 1.59677i
\(202\) −10.7661 + 10.7661i −0.757499 + 0.757499i
\(203\) −0.462828 + 9.88480i −0.0324841 + 0.693777i
\(204\) −1.95531 9.37629i −0.136899 0.656472i
\(205\) −9.68127 + 5.58948i −0.676169 + 0.390386i
\(206\) 1.65055 0.442263i 0.114999 0.0308139i
\(207\) 0.187516 1.66102i 0.0130333 0.115449i
\(208\) 1.64697 + 3.20741i 0.114197 + 0.222394i
\(209\) 9.92141i 0.686278i
\(210\) −9.57012 + 7.77708i −0.660401 + 0.536669i
\(211\) −6.50168 −0.447594 −0.223797 0.974636i \(-0.571845\pi\)
−0.223797 + 0.974636i \(0.571845\pi\)
\(212\) 5.32989 + 9.23165i 0.366059 + 0.634032i
\(213\) −12.2056 24.1844i −0.836312 1.65709i
\(214\) 5.20165 1.39378i 0.355577 0.0952766i
\(215\) −3.01261 + 11.2432i −0.205458 + 0.766780i
\(216\) −5.12245 0.872053i −0.348539 0.0593357i
\(217\) 16.2602 3.55103i 1.10382 0.241060i
\(218\) 3.08351 0.208842
\(219\) 5.26695 + 0.296358i 0.355908 + 0.0200260i
\(220\) 5.26709 + 3.04095i 0.355107 + 0.205021i
\(221\) 10.8066 16.7556i 0.726927 1.12710i
\(222\) −7.22658 + 6.45666i −0.485016 + 0.433343i
\(223\) −13.2014 13.2014i −0.884033 0.884033i 0.109909 0.993942i \(-0.464944\pi\)
−0.993942 + 0.109909i \(0.964944\pi\)
\(224\) −0.564494 2.58483i −0.0377168 0.172706i
\(225\) −2.68766 6.16382i −0.179177 0.410921i
\(226\) −0.132266 + 0.493624i −0.00879821 + 0.0328354i
\(227\) −5.44708 20.3288i −0.361535 1.34927i −0.872057 0.489403i \(-0.837215\pi\)
0.510522 0.859865i \(-0.329452\pi\)
\(228\) 3.42576 + 6.78789i 0.226877 + 0.449539i
\(229\) 22.6907 + 6.07994i 1.49944 + 0.401774i 0.912913 0.408155i \(-0.133828\pi\)
0.586528 + 0.809929i \(0.300494\pi\)
\(230\) 1.49939i 0.0988670i
\(231\) −1.06485 + 10.3022i −0.0700622 + 0.677834i
\(232\) 2.64472 2.64472i 0.173634 0.173634i
\(233\) 6.17835 + 10.7012i 0.404757 + 0.701060i 0.994293 0.106682i \(-0.0340227\pi\)
−0.589536 + 0.807742i \(0.700689\pi\)
\(234\) −6.31793 8.77973i −0.413016 0.573949i
\(235\) −11.6652 + 20.2048i −0.760956 + 1.31801i
\(236\) −2.68732 0.720065i −0.174930 0.0468723i
\(237\) 10.5675 2.20373i 0.686434 0.143147i
\(238\) −10.8180 + 9.85024i −0.701224 + 0.638496i
\(239\) 16.2855 16.2855i 1.05342 1.05342i 0.0549281 0.998490i \(-0.482507\pi\)
0.998490 0.0549281i \(-0.0174930\pi\)
\(240\) 4.65357 + 0.261845i 0.300387 + 0.0169020i
\(241\) 6.85601 + 25.5870i 0.441635 + 1.64820i 0.724672 + 0.689094i \(0.241991\pi\)
−0.283037 + 0.959109i \(0.591342\pi\)
\(242\) −5.69119 + 1.52495i −0.365843 + 0.0980275i
\(243\) 15.5856 + 0.299929i 0.999815 + 0.0192405i
\(244\) 12.9740i 0.830573i
\(245\) 17.6599 + 6.55417i 1.12825 + 0.418730i
\(246\) 1.46889 + 7.04379i 0.0936533 + 0.449096i
\(247\) −4.84373 + 15.0683i −0.308199 + 0.958774i
\(248\) −5.44786 3.14532i −0.345939 0.199728i
\(249\) 12.7106 + 25.1851i 0.805501 + 1.59604i
\(250\) −3.71164 6.42875i −0.234745 0.406590i
\(251\) 7.25002 0.457617 0.228809 0.973471i \(-0.426517\pi\)
0.228809 + 0.973471i \(0.426517\pi\)
\(252\) 2.82871 + 7.41609i 0.178192 + 0.467170i
\(253\) 0.890462 + 0.890462i 0.0559829 + 0.0559829i
\(254\) 3.10530 11.5891i 0.194844 0.727167i
\(255\) −11.6128 23.0099i −0.727223 1.44094i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −2.28655 3.96041i −0.142631 0.247044i 0.785856 0.618410i \(-0.212223\pi\)
−0.928487 + 0.371366i \(0.878889\pi\)
\(258\) 6.26753 + 4.10456i 0.390199 + 0.255539i
\(259\) 14.1037 + 4.49585i 0.876363 + 0.279359i
\(260\) 6.51486 + 7.18994i 0.404034 + 0.445901i
\(261\) −6.66497 + 9.02662i −0.412551 + 0.558734i
\(262\) 1.62209 0.434637i 0.100213 0.0268520i
\(263\) −1.07612 0.621300i −0.0663566 0.0383110i 0.466455 0.884545i \(-0.345531\pi\)
−0.532811 + 0.846234i \(0.678864\pi\)
\(264\) 2.91918 2.60817i 0.179663 0.160522i
\(265\) 20.2836 + 20.2836i 1.24601 + 1.24601i
\(266\) 6.27125 9.77570i 0.384515 0.599387i
\(267\) −3.48317 2.28110i −0.213167 0.139601i
\(268\) −12.6447 3.38815i −0.772400 0.206964i
\(269\) −11.7975 6.81128i −0.719305 0.415291i 0.0951919 0.995459i \(-0.469654\pi\)
−0.814497 + 0.580168i \(0.802987\pi\)
\(270\) −13.9221 + 1.30096i −0.847275 + 0.0791739i
\(271\) −5.14549 1.37873i −0.312566 0.0837518i 0.0991259 0.995075i \(-0.468395\pi\)
−0.411692 + 0.911323i \(0.635062\pi\)
\(272\) 5.52986 0.335297
\(273\) −6.64689 + 15.1268i −0.402288 + 0.915513i
\(274\) −11.5099 −0.695338
\(275\) 4.89324 + 1.31114i 0.295074 + 0.0790648i
\(276\) 0.916692 + 0.301756i 0.0551784 + 0.0181636i
\(277\) −11.6295 6.71427i −0.698746 0.403421i 0.108134 0.994136i \(-0.465512\pi\)
−0.806880 + 0.590715i \(0.798846\pi\)
\(278\) −7.44128 1.99389i −0.446298 0.119585i
\(279\) 17.5659 + 6.89850i 1.05164 + 0.413002i
\(280\) −3.26757 6.32558i −0.195275 0.378026i
\(281\) −5.89904 5.89904i −0.351907 0.351907i 0.508912 0.860819i \(-0.330048\pi\)
−0.860819 + 0.508912i \(0.830048\pi\)
\(282\) 10.0050 + 11.1981i 0.595792 + 0.666837i
\(283\) −0.174267 0.100613i −0.0103591 0.00598084i 0.494811 0.869000i \(-0.335237\pi\)
−0.505171 + 0.863019i \(0.668570\pi\)
\(284\) 15.1074 4.04802i 0.896460 0.240206i
\(285\) 13.6322 + 15.2578i 0.807502 + 0.903792i
\(286\) 8.13903 + 0.400923i 0.481271 + 0.0237070i
\(287\) 8.12682 7.39983i 0.479711 0.436798i
\(288\) 1.09663 2.79238i 0.0646194 0.164543i
\(289\) −6.78968 11.7601i −0.399393 0.691769i
\(290\) 5.03242 8.71641i 0.295514 0.511845i
\(291\) −4.35744 + 2.19915i −0.255438 + 0.128916i
\(292\) −0.788281 + 2.94191i −0.0461307 + 0.172162i
\(293\) 11.7557 + 11.7557i 0.686775 + 0.686775i 0.961518 0.274743i \(-0.0885927\pi\)
−0.274743 + 0.961518i \(0.588593\pi\)
\(294\) 7.56116 9.47781i 0.440976 0.552757i
\(295\) −7.48666 −0.435890
\(296\) −2.79750 4.84541i −0.162601 0.281634i
\(297\) −7.49550 + 9.04073i −0.434933 + 0.524596i
\(298\) 8.63954 + 4.98804i 0.500475 + 0.288950i
\(299\) 0.917673 + 1.78714i 0.0530704 + 0.103353i
\(300\) 3.80052 0.792550i 0.219423 0.0457579i
\(301\) 0.535253 11.4316i 0.0308514 0.658908i
\(302\) 3.89060i 0.223879i
\(303\) 17.5704 + 19.6655i 1.00939 + 1.12976i
\(304\) −4.24023 + 1.13617i −0.243194 + 0.0651636i
\(305\) −9.03610 33.7232i −0.517406 1.93098i
\(306\) −16.4048 + 2.46899i −0.937801 + 0.141143i
\(307\) −3.14361 + 3.14361i −0.179415 + 0.179415i −0.791101 0.611686i \(-0.790492\pi\)
0.611686 + 0.791101i \(0.290492\pi\)
\(308\) −5.69720 1.81610i −0.324628 0.103482i
\(309\) −0.604207 2.89735i −0.0343721 0.164825i
\(310\) −16.3513 4.38130i −0.928689 0.248841i
\(311\) 11.7086 20.2798i 0.663932 1.14996i −0.315642 0.948878i \(-0.602220\pi\)
0.979574 0.201085i \(-0.0644468\pi\)
\(312\) 5.70689 2.53603i 0.323089 0.143574i
\(313\) 6.73002 + 11.6567i 0.380403 + 0.658878i 0.991120 0.132971i \(-0.0424518\pi\)
−0.610717 + 0.791849i \(0.709119\pi\)
\(314\) 4.54223 4.54223i 0.256333 0.256333i
\(315\) 12.5178 + 17.3065i 0.705299 + 0.975110i
\(316\) 6.23241i 0.350600i
\(317\) 9.06323 + 2.42848i 0.509042 + 0.136397i 0.504193 0.863591i \(-0.331790\pi\)
0.00484849 + 0.999988i \(0.498457\pi\)
\(318\) 16.4831 8.31879i 0.924324 0.466495i
\(319\) −2.18785 8.16518i −0.122496 0.457162i
\(320\) −0.696480 + 2.59930i −0.0389344 + 0.145305i
\(321\) −1.90414 9.13091i −0.106279 0.509638i
\(322\) −0.314530 1.44024i −0.0175281 0.0802615i
\(323\) 17.1650 + 17.1650i 0.955089 + 0.955089i
\(324\) −2.00649 + 8.77348i −0.111472 + 0.487416i
\(325\) 6.79159 + 4.38025i 0.376730 + 0.242972i
\(326\) 16.4062 + 9.47214i 0.908657 + 0.524613i
\(327\) 0.300039 5.33236i 0.0165922 0.294880i
\(328\) −4.15422 −0.229378
\(329\) 6.96664 21.8547i 0.384083 1.20489i
\(330\) 5.77128 8.81255i 0.317698 0.485115i
\(331\) 4.83760 18.0542i 0.265899 0.992347i −0.695800 0.718236i \(-0.744950\pi\)
0.961698 0.274111i \(-0.0883835\pi\)
\(332\) −15.7325 + 4.21552i −0.863434 + 0.231356i
\(333\) 10.4624 + 13.1253i 0.573337 + 0.719262i
\(334\) 12.0217 + 20.8221i 0.657796 + 1.13934i
\(335\) −35.2272 −1.92467
\(336\) −4.52491 + 0.724673i −0.246854 + 0.0395342i
\(337\) 3.09879i 0.168802i −0.996432 0.0844010i \(-0.973102\pi\)
0.996432 0.0844010i \(-0.0268977\pi\)
\(338\) 12.1656 + 4.58246i 0.661720 + 0.249253i
\(339\) 0.840761 + 0.276761i 0.0456639 + 0.0150316i
\(340\) 14.3738 3.85144i 0.779526 0.208873i
\(341\) −12.3127 + 7.10874i −0.666770 + 0.384960i
\(342\) 12.0717 5.26373i 0.652765 0.284630i
\(343\) −18.3381 2.59105i −0.990165 0.139903i
\(344\) −3.05858 + 3.05858i −0.164907 + 0.164907i
\(345\) 2.59292 + 0.145897i 0.139598 + 0.00785484i
\(346\) −3.36577 12.5612i −0.180945 0.675297i
\(347\) −25.8669 14.9343i −1.38861 0.801714i −0.395451 0.918487i \(-0.629412\pi\)
−0.993159 + 0.116773i \(0.962745\pi\)
\(348\) −4.31621 4.83090i −0.231373 0.258963i
\(349\) 6.81363 6.81363i 0.364725 0.364725i −0.500824 0.865549i \(-0.666970\pi\)
0.865549 + 0.500824i \(0.166970\pi\)
\(350\) −3.99262 4.38487i −0.213415 0.234381i
\(351\) −15.7977 + 10.0714i −0.843218 + 0.537571i
\(352\) 1.13005 + 1.95730i 0.0602318 + 0.104325i
\(353\) 5.45562 + 20.3606i 0.290373 + 1.08369i 0.944823 + 0.327582i \(0.106234\pi\)
−0.654450 + 0.756106i \(0.727100\pi\)
\(354\) −1.50671 + 4.57716i −0.0800806 + 0.243273i
\(355\) 36.4493 21.0440i 1.93453 1.11690i
\(356\) 1.69980 1.69980i 0.0900892 0.0900892i
\(357\) 15.9815 + 19.6661i 0.845832 + 1.04084i
\(358\) 7.23956 7.23956i 0.382623 0.382623i
\(359\) 7.21572 26.9294i 0.380831 1.42128i −0.463804 0.885938i \(-0.653516\pi\)
0.844635 0.535343i \(-0.179818\pi\)
\(360\) 0.905624 8.02202i 0.0477306 0.422797i
\(361\) −0.234202 0.135217i −0.0123264 0.00711667i
\(362\) 1.11059 4.14478i 0.0583714 0.217845i
\(363\) 2.08334 + 9.99024i 0.109347 + 0.524352i
\(364\) −7.76609 5.53966i −0.407054 0.290357i
\(365\) 8.19591i 0.428994i
\(366\) −22.4361 1.26242i −1.17275 0.0659878i
\(367\) 15.5044 26.8544i 0.809323 1.40179i −0.104010 0.994576i \(-0.533167\pi\)
0.913333 0.407213i \(-0.133499\pi\)
\(368\) −0.278595 + 0.482540i −0.0145228 + 0.0251542i
\(369\) 12.3239 1.85479i 0.641555 0.0965566i
\(370\) −10.6463 10.6463i −0.553472 0.553472i
\(371\) −23.7384 15.2285i −1.23243 0.790625i
\(372\) −5.96935 + 9.11501i −0.309496 + 0.472591i
\(373\) −3.71391 6.43269i −0.192299 0.333072i 0.753713 0.657204i \(-0.228261\pi\)
−0.946012 + 0.324132i \(0.894928\pi\)
\(374\) 6.24902 10.8236i 0.323129 0.559676i
\(375\) −11.4785 + 5.79305i −0.592747 + 0.299152i
\(376\) −7.50830 + 4.33492i −0.387211 + 0.223556i
\(377\) 0.663480 13.4691i 0.0341709 0.693696i
\(378\) 13.1000 4.17011i 0.673792 0.214487i
\(379\) 0.401121 + 0.401121i 0.0206042 + 0.0206042i 0.717334 0.696730i \(-0.245362\pi\)
−0.696730 + 0.717334i \(0.745362\pi\)
\(380\) −10.2303 + 5.90647i −0.524804 + 0.302996i
\(381\) −19.7391 6.49772i −1.01127 0.332888i
\(382\) 21.3888 5.73111i 1.09435 0.293229i
\(383\) −30.5310 8.18076i −1.56006 0.418018i −0.627379 0.778714i \(-0.715872\pi\)
−0.932683 + 0.360696i \(0.882539\pi\)
\(384\) 1.44898 + 0.948926i 0.0739429 + 0.0484247i
\(385\) −16.0736 0.752600i −0.819187 0.0383561i
\(386\) 14.4837i 0.737203i
\(387\) 7.70793 10.4391i 0.391816 0.530651i
\(388\) −0.729355 2.72199i −0.0370274 0.138188i
\(389\) 0.939259 1.62684i 0.0476223 0.0824843i −0.841232 0.540675i \(-0.818169\pi\)
0.888854 + 0.458191i \(0.151502\pi\)
\(390\) 13.0676 10.5666i 0.661704 0.535062i
\(391\) 3.08118 0.155822
\(392\) 4.46559 + 5.39059i 0.225546 + 0.272266i
\(393\) −0.593789 2.84740i −0.0299527 0.143632i
\(394\) −7.96281 + 4.59733i −0.401161 + 0.231610i
\(395\) 4.34075 + 16.1999i 0.218407 + 0.815105i
\(396\) −4.22630 5.30197i −0.212379 0.266434i
\(397\) 29.5975 + 7.93063i 1.48546 + 0.398027i 0.908201 0.418535i \(-0.137456\pi\)
0.577257 + 0.816563i \(0.304123\pi\)
\(398\) −11.0699 11.0699i −0.554882 0.554882i
\(399\) −16.2951 11.7962i −0.815773 0.590548i
\(400\) 2.24143i 0.112072i
\(401\) 5.22555 19.5020i 0.260951 0.973884i −0.703731 0.710467i \(-0.748484\pi\)
0.964682 0.263417i \(-0.0848494\pi\)
\(402\) −7.08956 + 21.5371i −0.353595 + 1.07417i
\(403\) −22.1707 + 4.78534i −1.10440 + 0.238375i
\(404\) −13.1857 + 7.61277i −0.656014 + 0.378750i
\(405\) 0.895086 + 24.2024i 0.0444772 + 1.20263i
\(406\) −3.00543 + 9.42820i −0.149157 + 0.467914i
\(407\) −12.6452 −0.626801
\(408\) 0.538079 9.56287i 0.0266389 0.473433i
\(409\) 12.7811 3.42469i 0.631985 0.169340i 0.0714147 0.997447i \(-0.477249\pi\)
0.560570 + 0.828107i \(0.310582\pi\)
\(410\) −10.7981 + 2.89333i −0.533278 + 0.142891i
\(411\) −1.11996 + 19.9042i −0.0552436 + 0.981803i
\(412\) 1.70877 0.0841852
\(413\) 7.19131 1.57049i 0.353861 0.0772787i
\(414\) 0.611030 1.55589i 0.0300305 0.0764677i
\(415\) −37.9575 + 21.9148i −1.86326 + 1.07575i
\(416\) 0.760708 + 3.52439i 0.0372968 + 0.172797i
\(417\) −4.17212 + 12.6743i −0.204310 + 0.620664i
\(418\) −2.56785 + 9.58334i −0.125598 + 0.468737i
\(419\) 1.60403i 0.0783619i 0.999232 + 0.0391809i \(0.0124749\pi\)
−0.999232 + 0.0391809i \(0.987525\pi\)
\(420\) −11.2569 + 5.03515i −0.549279 + 0.245690i
\(421\) 21.8868 + 21.8868i 1.06670 + 1.06670i 0.997611 + 0.0690881i \(0.0220090\pi\)
0.0690881 + 0.997611i \(0.477991\pi\)
\(422\) −6.28014 1.68276i −0.305713 0.0819154i
\(423\) 20.3386 16.2123i 0.988895 0.788267i
\(424\) 2.75896 + 10.2966i 0.133987 + 0.500045i
\(425\) 10.7342 6.19740i 0.520686 0.300618i
\(426\) −5.53029 26.5194i −0.267943 1.28487i
\(427\) 15.7538 + 30.4973i 0.762379 + 1.47587i
\(428\) 5.38514 0.260301
\(429\) 1.48528 14.0359i 0.0717102 0.677662i
\(430\) −5.81991 + 10.0804i −0.280661 + 0.486119i
\(431\) −4.15891 15.5213i −0.200328 0.747633i −0.990823 0.135165i \(-0.956844\pi\)
0.790495 0.612468i \(-0.209823\pi\)
\(432\) −4.72221 2.16813i −0.227197 0.104314i
\(433\) 25.3948i 1.22039i 0.792250 + 0.610197i \(0.208910\pi\)
−0.792250 + 0.610197i \(0.791090\pi\)
\(434\) 16.6253 + 0.778430i 0.798038 + 0.0373658i
\(435\) −14.5837 9.55078i −0.699237 0.457925i
\(436\) 2.97844 + 0.798071i 0.142642 + 0.0382207i
\(437\) −2.36261 + 0.633060i −0.113019 + 0.0302834i
\(438\) 5.01078 + 1.64945i 0.239424 + 0.0788136i
\(439\) −32.6113 + 18.8282i −1.55645 + 0.898620i −0.558863 + 0.829260i \(0.688762\pi\)
−0.997592 + 0.0693596i \(0.977904\pi\)
\(440\) 4.30056 + 4.30056i 0.205021 + 0.205021i
\(441\) −15.6544 13.9979i −0.745447 0.666565i
\(442\) 14.7750 13.3877i 0.702775 0.636789i
\(443\) 11.4832 6.62982i 0.545583 0.314992i −0.201756 0.979436i \(-0.564665\pi\)
0.747339 + 0.664443i \(0.231331\pi\)
\(444\) −8.65145 + 4.36628i −0.410579 + 0.207214i
\(445\) 3.23441 5.60216i 0.153326 0.265568i
\(446\) −9.33481 16.1684i −0.442016 0.765595i
\(447\) 9.46656 14.4551i 0.447753 0.683705i
\(448\) 0.123744 2.64286i 0.00584636 0.124863i
\(449\) 11.1834 + 11.1834i 0.527778 + 0.527778i 0.919909 0.392131i \(-0.128262\pi\)
−0.392131 + 0.919909i \(0.628262\pi\)
\(450\) −1.00076 6.64941i −0.0471764 0.313456i
\(451\) −4.69447 + 8.13107i −0.221054 + 0.382877i
\(452\) −0.255518 + 0.442571i −0.0120186 + 0.0208168i
\(453\) −6.72807 0.378572i −0.316112 0.0177869i
\(454\) 21.0459i 0.987733i
\(455\) −24.0446 8.99031i −1.12723 0.421472i
\(456\) 1.55220 + 7.44325i 0.0726883 + 0.348562i
\(457\) 5.26327 19.6428i 0.246205 0.918851i −0.726569 0.687094i \(-0.758886\pi\)
0.972774 0.231757i \(-0.0744473\pi\)
\(458\) 20.3439 + 11.7455i 0.950607 + 0.548833i
\(459\) 2.67341 + 28.6094i 0.124784 + 1.33537i
\(460\) −0.388071 + 1.44830i −0.0180939 + 0.0675274i
\(461\) −20.9563 + 20.9563i −0.976032 + 0.976032i −0.999719 0.0236871i \(-0.992459\pi\)
0.0236871 + 0.999719i \(0.492459\pi\)
\(462\) −3.69497 + 9.67555i −0.171906 + 0.450147i
\(463\) 12.1628 12.1628i 0.565254 0.565254i −0.365541 0.930795i \(-0.619116\pi\)
0.930795 + 0.365541i \(0.119116\pi\)
\(464\) 3.23911 1.87010i 0.150372 0.0868172i
\(465\) −9.16770 + 27.8502i −0.425142 + 1.29152i
\(466\) 3.19815 + 11.9357i 0.148151 + 0.552908i
\(467\) 9.89030 + 17.1305i 0.457669 + 0.792705i 0.998837 0.0482088i \(-0.0153513\pi\)
−0.541169 + 0.840914i \(0.682018\pi\)
\(468\) −3.83029 10.1158i −0.177055 0.467602i
\(469\) 33.8375 7.38967i 1.56247 0.341223i
\(470\) −16.4971 + 16.4971i −0.760956 + 0.760956i
\(471\) −7.41297 8.29693i −0.341572 0.382302i
\(472\) −2.40939 1.39106i −0.110901 0.0640287i
\(473\) 2.53022 + 9.44290i 0.116340 + 0.434185i
\(474\) 10.7778 + 0.606440i 0.495041 + 0.0278547i
\(475\) −6.95755 + 6.95755i −0.319234 + 0.319234i
\(476\) −12.9988 + 6.71470i −0.595798 + 0.307768i
\(477\) −12.7819 29.3138i −0.585245 1.34219i
\(478\) 19.9455 11.5156i 0.912287 0.526709i
\(479\) 31.3931 8.41175i 1.43439 0.384343i 0.543823 0.839200i \(-0.316976\pi\)
0.890564 + 0.454857i \(0.150310\pi\)
\(480\) 4.42724 + 1.45736i 0.202075 + 0.0665189i
\(481\) −19.2052 6.17353i −0.875681 0.281489i
\(482\) 26.4896i 1.20657i
\(483\) −2.52124 + 0.403780i −0.114720 + 0.0183726i
\(484\) −5.89195 −0.267816
\(485\) −3.79162 6.56728i −0.172169 0.298205i
\(486\) 14.9769 + 4.32355i 0.679365 + 0.196120i
\(487\) −21.3458 + 5.71958i −0.967269 + 0.259179i −0.707674 0.706539i \(-0.750256\pi\)
−0.259594 + 0.965718i \(0.583589\pi\)
\(488\) 3.35791 12.5319i 0.152005 0.567292i
\(489\) 17.9767 27.4499i 0.812935 1.24133i
\(490\) 15.3618 + 10.9016i 0.693977 + 0.492482i
\(491\) −10.5203 −0.474776 −0.237388 0.971415i \(-0.576291\pi\)
−0.237388 + 0.971415i \(0.576291\pi\)
\(492\) −0.404223 + 7.18395i −0.0182238 + 0.323878i
\(493\) −17.9118 10.3414i −0.806707 0.465753i
\(494\) −8.57865 + 13.3012i −0.385972 + 0.598450i
\(495\) −14.6781 10.8379i −0.659732 0.487125i
\(496\) −4.44816 4.44816i −0.199728 0.199728i
\(497\) −30.5969 + 27.8598i −1.37246 + 1.24968i
\(498\) 5.75912 + 27.6167i 0.258072 + 1.23753i
\(499\) −0.265111 + 0.989408i −0.0118680 + 0.0442920i −0.971606 0.236605i \(-0.923965\pi\)
0.959738 + 0.280897i \(0.0906319\pi\)
\(500\) −1.92129 7.17034i −0.0859225 0.320667i
\(501\) 37.1778 18.7632i 1.66098 0.838277i
\(502\) 7.00298 + 1.87644i 0.312558 + 0.0837497i
\(503\) 15.9064i 0.709233i −0.935012 0.354616i \(-0.884611\pi\)
0.935012 0.354616i \(-0.115389\pi\)
\(504\) 0.812895 + 7.89552i 0.0362092 + 0.351694i
\(505\) −28.9714 + 28.9714i −1.28921 + 1.28921i
\(506\) 0.629652 + 1.09059i 0.0279914 + 0.0484826i
\(507\) 9.10829 20.5922i 0.404513 0.914532i
\(508\) 5.99898 10.3905i 0.266162 0.461006i
\(509\) 7.67182 + 2.05566i 0.340048 + 0.0911155i 0.424802 0.905286i \(-0.360344\pi\)
−0.0847541 + 0.996402i \(0.527010\pi\)
\(510\) −5.26172 25.2315i −0.232993 1.11727i
\(511\) −1.71927 7.87258i −0.0760561 0.348262i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −7.92803 21.3880i −0.350031 0.944305i
\(514\) −1.18360 4.41727i −0.0522065 0.194837i
\(515\) 4.44161 1.19013i 0.195721 0.0524432i
\(516\) 4.99163 + 5.58685i 0.219744 + 0.245948i
\(517\) 19.5947i 0.861774i
\(518\) 12.4595 + 7.99297i 0.547441 + 0.351191i
\(519\) −22.0499 + 4.59822i −0.967881 + 0.201840i
\(520\) 4.43197 + 8.63112i 0.194355 + 0.378500i
\(521\) 18.1604 + 10.4849i 0.795621 + 0.459352i 0.841938 0.539575i \(-0.181415\pi\)
−0.0463164 + 0.998927i \(0.514748\pi\)
\(522\) −8.77413 + 6.99403i −0.384033 + 0.306120i
\(523\) 18.4891 + 32.0241i 0.808474 + 1.40032i 0.913921 + 0.405892i \(0.133039\pi\)
−0.105447 + 0.994425i \(0.533627\pi\)
\(524\) 1.67931 0.0733610
\(525\) −7.97133 + 6.47783i −0.347897 + 0.282716i
\(526\) −0.878650 0.878650i −0.0383110 0.0383110i
\(527\) −9.00338 + 33.6011i −0.392193 + 1.46369i
\(528\) 3.49475 1.76376i 0.152090 0.0767577i
\(529\) 11.3448 19.6497i 0.493251 0.854336i
\(530\) 14.3427 + 24.8423i 0.623007 + 1.07908i
\(531\) 7.76874 + 3.05095i 0.337135 + 0.132400i
\(532\) 8.58771 7.81949i 0.372324 0.339018i
\(533\) −11.0995 + 10.0573i −0.480772 + 0.435631i
\(534\) −2.77409 3.10489i −0.120047 0.134362i
\(535\) 13.9976 3.75064i 0.605168 0.162154i
\(536\) −11.3370 6.54540i −0.489682 0.282718i
\(537\) −11.8150 13.2239i −0.509857 0.570654i
\(538\) −9.63260 9.63260i −0.415291 0.415291i
\(539\) 15.5974 2.64888i 0.671826 0.114095i
\(540\) −13.7845 2.34669i −0.593189 0.100985i
\(541\) −16.4536 4.40874i −0.707397 0.189547i −0.112856 0.993611i \(-0.536000\pi\)
−0.594542 + 0.804065i \(0.702666\pi\)
\(542\) −4.61332 2.66350i −0.198159 0.114407i
\(543\) −7.05957 2.32387i −0.302955 0.0997267i
\(544\) 5.34143 + 1.43123i 0.229012 + 0.0613636i
\(545\) 8.29770 0.355434
\(546\) −10.3355 + 12.8910i −0.442319 + 0.551683i
\(547\) −8.95781 −0.383008 −0.191504 0.981492i \(-0.561337\pi\)
−0.191504 + 0.981492i \(0.561337\pi\)
\(548\) −11.1177 2.97898i −0.474925 0.127256i
\(549\) −4.36625 + 38.6762i −0.186347 + 1.65066i
\(550\) 4.38716 + 2.53293i 0.187069 + 0.108004i
\(551\) 15.8593 + 4.24949i 0.675629 + 0.181034i
\(552\) 0.807356 + 0.528732i 0.0343634 + 0.0225043i
\(553\) −7.56778 14.6502i −0.321815 0.622991i
\(554\) −9.49541 9.49541i −0.403421 0.403421i
\(555\) −19.4467 + 17.3748i −0.825465 + 0.737520i
\(556\) −6.67167 3.85189i −0.282942 0.163357i
\(557\) −33.1313 + 8.87750i −1.40382 + 0.376152i −0.879714 0.475503i \(-0.842266\pi\)
−0.524103 + 0.851655i \(0.675599\pi\)
\(558\) 15.1819 + 11.2098i 0.642700 + 0.474550i
\(559\) −0.767304 + 15.5768i −0.0324535 + 0.658831i
\(560\) −1.51905 6.95575i −0.0641915 0.293934i
\(561\) −18.1094 11.8597i −0.764579 0.500717i
\(562\) −4.17125 7.22481i −0.175953 0.304760i
\(563\) −9.43062 + 16.3343i −0.397453 + 0.688409i −0.993411 0.114606i \(-0.963439\pi\)
0.595958 + 0.803016i \(0.296773\pi\)
\(564\) 6.76585 + 13.4060i 0.284894 + 0.564495i
\(565\) −0.355927 + 1.32834i −0.0149740 + 0.0558836i
\(566\) −0.142289 0.142289i −0.00598084 0.00598084i
\(567\) −5.93675 23.0598i −0.249320 0.968421i
\(568\) 15.6403 0.656254
\(569\) 0.844881 + 1.46338i 0.0354193 + 0.0613480i 0.883192 0.469012i \(-0.155390\pi\)
−0.847772 + 0.530360i \(0.822057\pi\)
\(570\) 9.21870 + 18.2661i 0.386129 + 0.765085i
\(571\) 9.41753 + 5.43721i 0.394111 + 0.227540i 0.683940 0.729538i \(-0.260265\pi\)
−0.289829 + 0.957079i \(0.593598\pi\)
\(572\) 7.75794 + 2.49380i 0.324376 + 0.104271i
\(573\) −7.82968 37.5456i −0.327089 1.56849i
\(574\) 9.76512 5.04431i 0.407588 0.210546i
\(575\) 1.24890i 0.0520829i
\(576\) 1.78198 2.41341i 0.0742493 0.100559i
\(577\) −30.5717 + 8.19166i −1.27272 + 0.341023i −0.831071 0.556167i \(-0.812272\pi\)
−0.441645 + 0.897190i \(0.645605\pi\)
\(578\) −3.51460 13.1167i −0.146188 0.545581i
\(579\) −25.0469 1.40933i −1.04092 0.0585697i
\(580\) 7.11692 7.11692i 0.295514 0.295514i
\(581\) 31.8629 29.0126i 1.32190 1.20365i
\(582\) −4.77815 + 0.996424i −0.198061 + 0.0413031i
\(583\) 23.2713 + 6.23551i 0.963797 + 0.258249i
\(584\) −1.52284 + 2.63764i −0.0630157 + 0.109146i
\(585\) −17.0015 23.6262i −0.702926 0.976822i
\(586\) 8.31253 + 14.3977i 0.343388 + 0.594765i
\(587\) −17.3715 + 17.3715i −0.717000 + 0.717000i −0.967990 0.250990i \(-0.919244\pi\)
0.250990 + 0.967990i \(0.419244\pi\)
\(588\) 9.75656 7.19789i 0.402354 0.296836i
\(589\) 27.6147i 1.13784i
\(590\) −7.23156 1.93769i −0.297718 0.0797734i
\(591\) 7.17542 + 14.2175i 0.295157 + 0.584832i
\(592\) −1.44809 5.40435i −0.0595162 0.222117i
\(593\) 7.52671 28.0901i 0.309085 1.15352i −0.620286 0.784375i \(-0.712984\pi\)
0.929371 0.369146i \(-0.120350\pi\)
\(594\) −9.58001 + 6.79270i −0.393072 + 0.278708i
\(595\) −29.1110 + 26.5069i −1.19344 + 1.08668i
\(596\) 7.05416 + 7.05416i 0.288950 + 0.288950i
\(597\) −20.2204 + 18.0661i −0.827567 + 0.739397i
\(598\) 0.423859 + 1.96375i 0.0173329 + 0.0803039i
\(599\) 31.6180 + 18.2546i 1.29187 + 0.745864i 0.978986 0.203926i \(-0.0653701\pi\)
0.312888 + 0.949790i \(0.398703\pi\)
\(600\) 3.87614 + 0.218101i 0.158243 + 0.00890393i
\(601\) −31.9362 −1.30270 −0.651352 0.758775i \(-0.725798\pi\)
−0.651352 + 0.758775i \(0.725798\pi\)
\(602\) 3.47573 10.9036i 0.141660 0.444396i
\(603\) 36.5545 + 14.3557i 1.48862 + 0.584611i
\(604\) 1.00696 3.75803i 0.0409727 0.152912i
\(605\) −15.3149 + 4.10362i −0.622641 + 0.166836i
\(606\) 11.8819 + 23.5430i 0.482668 + 0.956369i
\(607\) −3.45454 5.98344i −0.140215 0.242860i 0.787362 0.616491i \(-0.211446\pi\)
−0.927578 + 0.373630i \(0.878113\pi\)
\(608\) −4.38981 −0.178030
\(609\) 16.0119 + 6.11475i 0.648835 + 0.247782i
\(610\) 34.9128i 1.41358i
\(611\) −9.56632 + 29.7598i −0.387012 + 1.20395i
\(612\) −16.4849 1.86102i −0.666361 0.0752271i
\(613\) −39.9080 + 10.6933i −1.61187 + 0.431899i −0.948599 0.316480i \(-0.897499\pi\)
−0.663271 + 0.748379i \(0.730832\pi\)
\(614\) −3.85011 + 2.22286i −0.155378 + 0.0897075i
\(615\) 3.95278 + 18.9548i 0.159392 + 0.764330i
\(616\) −5.03303 3.22876i −0.202787 0.130091i
\(617\) 11.7908 11.7908i 0.474679 0.474679i −0.428746 0.903425i \(-0.641044\pi\)
0.903425 + 0.428746i \(0.141044\pi\)
\(618\) 0.166271 2.95501i 0.00668840 0.118868i
\(619\) 3.72691 + 13.9090i 0.149797 + 0.559051i 0.999495 + 0.0317809i \(0.0101179\pi\)
−0.849698 + 0.527270i \(0.823215\pi\)
\(620\) −14.6601 8.46403i −0.588765 0.339924i
\(621\) −2.63116 1.20806i −0.105585 0.0484777i
\(622\) 16.5584 16.5584i 0.663932 0.663932i
\(623\) −1.93164 + 6.05964i −0.0773894 + 0.242774i
\(624\) 6.16880 0.972566i 0.246950 0.0389338i
\(625\) −15.5916 27.0054i −0.623663 1.08022i
\(626\) 3.48372 + 13.0014i 0.139237 + 0.519641i
\(627\) 16.3228 + 5.37312i 0.651868 + 0.214582i
\(628\) 5.56308 3.21184i 0.221991 0.128167i
\(629\) −21.8776 + 21.8776i −0.872315 + 0.872315i
\(630\) 7.61202 + 19.9566i 0.303270 + 0.795091i
\(631\) −11.2098 + 11.2098i −0.446256 + 0.446256i −0.894108 0.447852i \(-0.852189\pi\)
0.447852 + 0.894108i \(0.352189\pi\)
\(632\) −1.61307 + 6.02005i −0.0641643 + 0.239465i
\(633\) −3.52111 + 10.6966i −0.139951 + 0.425152i
\(634\) 8.12587 + 4.69147i 0.322719 + 0.186322i
\(635\) 8.35634 31.1863i 0.331611 1.23759i
\(636\) 18.0745 3.76921i 0.716699 0.149459i
\(637\) 24.9820 + 3.59176i 0.989822 + 0.142311i
\(638\) 8.45322i 0.334666i
\(639\) −46.3985 + 6.98316i −1.83550 + 0.276250i
\(640\) −1.34550 + 2.33047i −0.0531854 + 0.0921198i
\(641\) −10.3711 + 17.9633i −0.409635 + 0.709509i −0.994849 0.101370i \(-0.967677\pi\)
0.585213 + 0.810879i \(0.301011\pi\)
\(642\) 0.523997 9.31261i 0.0206805 0.367539i
\(643\) 8.73659 + 8.73659i 0.344538 + 0.344538i 0.858070 0.513532i \(-0.171663\pi\)
−0.513532 + 0.858070i \(0.671663\pi\)
\(644\) 0.0689490 1.47257i 0.00271697 0.0580275i
\(645\) 16.8659 + 11.0453i 0.664093 + 0.434909i
\(646\) 12.1375 + 21.0228i 0.477544 + 0.827131i
\(647\) −12.8158 + 22.1976i −0.503840 + 0.872677i 0.496150 + 0.868237i \(0.334747\pi\)
−0.999990 + 0.00444027i \(0.998587\pi\)
\(648\) −4.20887 + 7.95522i −0.165340 + 0.312510i
\(649\) −5.44545 + 3.14393i −0.213753 + 0.123410i
\(650\) 5.42648 + 5.98879i 0.212844 + 0.234900i
\(651\) 2.96386 28.6746i 0.116163 1.12385i
\(652\) 13.3956 + 13.3956i 0.524613 + 0.524613i
\(653\) 6.17572 3.56555i 0.241675 0.139531i −0.374272 0.927319i \(-0.622107\pi\)
0.615946 + 0.787788i \(0.288774\pi\)
\(654\) 1.66993 5.07301i 0.0652995 0.198370i
\(655\) 4.36503 1.16961i 0.170556 0.0457003i
\(656\) −4.01267 1.07519i −0.156668 0.0419792i
\(657\) 3.33998 8.50472i 0.130305 0.331801i
\(658\) 12.3857 19.3069i 0.482844 0.752663i
\(659\) 9.51640i 0.370706i 0.982672 + 0.185353i \(0.0593429\pi\)
−0.982672 + 0.185353i \(0.940657\pi\)
\(660\) 7.85548 7.01856i 0.305774 0.273197i
\(661\) 3.71561 + 13.8669i 0.144521 + 0.539358i 0.999776 + 0.0211520i \(0.00673340\pi\)
−0.855256 + 0.518206i \(0.826600\pi\)
\(662\) 9.34552 16.1869i 0.363224 0.629123i
\(663\) −21.7139 26.8533i −0.843299 1.04290i
\(664\) −16.2875 −0.632078
\(665\) 16.8759 26.3063i 0.654419 1.02012i
\(666\) 6.70885 + 15.3859i 0.259963 + 0.596193i
\(667\) 1.80480 1.04200i 0.0698820 0.0403464i
\(668\) 6.22287 + 23.2241i 0.240770 + 0.898566i
\(669\) −28.8685 + 14.5696i −1.11612 + 0.563293i
\(670\) −34.0269 9.11747i −1.31457 0.352239i
\(671\) −20.7341 20.7341i −0.800431 0.800431i
\(672\) −4.55829 0.471154i −0.175840 0.0181751i
\(673\) 1.09897i 0.0423620i 0.999776 + 0.0211810i \(0.00674263\pi\)
−0.999776 + 0.0211810i \(0.993257\pi\)
\(674\) 0.802027 2.99320i 0.0308929 0.115294i
\(675\) −11.5963 + 1.08362i −0.446342 + 0.0417086i
\(676\) 10.5650 + 7.57500i 0.406346 + 0.291346i
\(677\) −42.3224 + 24.4349i −1.62658 + 0.939108i −0.641480 + 0.767140i \(0.721679\pi\)
−0.985103 + 0.171968i \(0.944988\pi\)
\(678\) 0.740482 + 0.484936i 0.0284380 + 0.0186239i
\(679\) 5.01967 + 5.51283i 0.192637 + 0.211563i
\(680\) 14.8808 0.570653
\(681\) −36.3950 2.04785i −1.39466 0.0784739i
\(682\) −13.7330 + 3.67975i −0.525865 + 0.140905i
\(683\) 21.5900 5.78503i 0.826119 0.221358i 0.179099 0.983831i \(-0.442682\pi\)
0.647020 + 0.762473i \(0.276015\pi\)
\(684\) 13.0228 1.95998i 0.497938 0.0749417i
\(685\) −30.9730 −1.18342
\(686\) −17.0426 7.24901i −0.650691 0.276769i
\(687\) 22.2913 34.0381i 0.850466 1.29863i
\(688\) −3.74597 + 2.16274i −0.142814 + 0.0824537i
\(689\) 32.2994 + 20.8316i 1.23051 + 0.793619i
\(690\) 2.46681 + 0.812024i 0.0939098 + 0.0309132i
\(691\) 2.93802 10.9648i 0.111767 0.417122i −0.887257 0.461275i \(-0.847392\pi\)
0.999025 + 0.0441530i \(0.0140589\pi\)
\(692\) 13.0044i 0.494351i
\(693\) 16.3725 + 7.33124i 0.621941 + 0.278491i
\(694\) −21.1203 21.1203i −0.801714 0.801714i
\(695\) −20.0244 5.36553i −0.759569 0.203526i
\(696\) −2.91881 5.78341i −0.110637 0.219219i
\(697\) 5.94566 + 22.1895i 0.225208 + 0.840487i
\(698\) 8.34496 4.81796i 0.315861 0.182363i
\(699\) 20.9517 4.36922i 0.792466 0.165259i
\(700\) −2.72169 5.26883i −0.102870 0.199143i
\(701\) −16.7030 −0.630862 −0.315431 0.948948i \(-0.602149\pi\)
−0.315431 + 0.948948i \(0.602149\pi\)
\(702\) −17.8661 + 5.63948i −0.674311 + 0.212848i
\(703\) 12.2805 21.2704i 0.463167 0.802229i
\(704\) 0.584957 + 2.18309i 0.0220464 + 0.0822782i
\(705\) 26.9235 + 30.1340i 1.01400 + 1.13491i
\(706\) 21.0789i 0.793314i
\(707\) 21.7511 33.9059i 0.818035 1.27516i
\(708\) −2.64002 + 4.03123i −0.0992182 + 0.151503i
\(709\) 23.6574 + 6.33899i 0.888474 + 0.238066i 0.674059 0.738677i \(-0.264549\pi\)
0.214414 + 0.976743i \(0.431216\pi\)
\(710\) 40.6539 10.8932i 1.52571 0.408814i
\(711\) 2.09745 18.5792i 0.0786606 0.696775i
\(712\) 2.08182 1.20194i 0.0780196 0.0450446i
\(713\) −2.47847 2.47847i −0.0928193 0.0928193i
\(714\) 10.3470 + 23.1324i 0.387227 + 0.865707i
\(715\) 21.9021 + 1.07888i 0.819091 + 0.0403478i
\(716\) 8.86662 5.11914i 0.331361 0.191311i
\(717\) −17.9732 35.6126i −0.671223 1.32998i
\(718\) 13.9397 24.1443i 0.520225 0.901056i
\(719\) −8.81931 15.2755i −0.328905 0.569680i 0.653390 0.757022i \(-0.273346\pi\)
−0.982295 + 0.187342i \(0.940013\pi\)
\(720\) 2.95102 7.51428i 0.109978 0.280041i
\(721\) −4.01673 + 2.07490i −0.149591 + 0.0772733i
\(722\) −0.191225 0.191225i −0.00711667 0.00711667i
\(723\) 45.8089 + 2.57755i 1.70365 + 0.0958601i
\(724\) 2.14550 3.71611i 0.0797368 0.138108i
\(725\) 4.19170 7.26024i 0.155676 0.269638i
\(726\) −0.573312 + 10.1890i −0.0212776 + 0.378151i
\(727\) 34.6427i 1.28483i 0.766358 + 0.642414i \(0.222067\pi\)
−0.766358 + 0.642414i \(0.777933\pi\)
\(728\) −6.06769 7.36092i −0.224884 0.272814i
\(729\) 8.93410 25.4790i 0.330893 0.943668i
\(730\) −2.12126 + 7.91664i −0.0785113 + 0.293008i
\(731\) 20.7147 + 11.9596i 0.766162 + 0.442344i
\(732\) −21.3448 7.02629i −0.788928 0.259699i
\(733\) 9.52052 35.5311i 0.351648 1.31237i −0.533002 0.846114i \(-0.678936\pi\)
0.884650 0.466256i \(-0.154397\pi\)
\(734\) 21.9265 21.9265i 0.809323 0.809323i
\(735\) 20.3470 25.5047i 0.750511 0.940755i
\(736\) −0.393993 + 0.393993i −0.0145228 + 0.0145228i
\(737\) −25.6227 + 14.7933i −0.943823 + 0.544916i
\(738\) 12.3840 + 1.39806i 0.455861 + 0.0514632i
\(739\) 1.01122 + 3.77392i 0.0371983 + 0.138826i 0.982028 0.188737i \(-0.0604393\pi\)
−0.944829 + 0.327563i \(0.893773\pi\)
\(740\) −7.52804 13.0389i −0.276736 0.479321i
\(741\) 22.1673 + 16.1295i 0.814335 + 0.592530i
\(742\) −18.9881 20.8535i −0.697074 0.765558i
\(743\) 15.1463 15.1463i 0.555662 0.555662i −0.372407 0.928069i \(-0.621467\pi\)
0.928069 + 0.372407i \(0.121467\pi\)
\(744\) −8.12509 + 7.25944i −0.297880 + 0.266144i
\(745\) 23.2489 + 13.4228i 0.851775 + 0.491773i
\(746\) −1.92246 7.17473i −0.0703864 0.262686i
\(747\) 48.3183 7.27211i 1.76788 0.266073i
\(748\) 8.83744 8.83744i 0.323129 0.323129i
\(749\) −12.6586 + 6.53897i −0.462535 + 0.238929i
\(750\) −12.5867 + 2.62481i −0.459602 + 0.0958444i
\(751\) 38.0093 21.9447i 1.38698 0.800772i 0.394005 0.919108i \(-0.371089\pi\)
0.992974 + 0.118336i \(0.0377561\pi\)
\(752\) −8.37442 + 2.24392i −0.305384 + 0.0818273i
\(753\) 3.92638 11.9278i 0.143085 0.434672i
\(754\) 4.12694 12.8385i 0.150294 0.467550i
\(755\) 10.4696i 0.381027i
\(756\) 13.7329 0.637485i 0.499462 0.0231851i
\(757\) −39.9286 −1.45123 −0.725616 0.688100i \(-0.758445\pi\)
−0.725616 + 0.688100i \(0.758445\pi\)
\(758\) 0.283636 + 0.491271i 0.0103021 + 0.0178438i
\(759\) 1.94724 0.982748i 0.0706804 0.0356715i
\(760\) −11.4104 + 3.05741i −0.413900 + 0.110904i
\(761\) −9.06509 + 33.8314i −0.328609 + 1.22639i 0.582024 + 0.813171i \(0.302261\pi\)
−0.910634 + 0.413215i \(0.864406\pi\)
\(762\) −17.3848 11.3852i −0.629785 0.412441i
\(763\) −7.97035 + 1.74062i −0.288546 + 0.0630148i
\(764\) 22.1433 0.801117
\(765\) −44.1452 + 6.64404i −1.59607 + 0.240216i
\(766\) −27.3734 15.8040i −0.989040 0.571023i
\(767\) −9.80527 + 2.11638i −0.354048 + 0.0764181i
\(768\) 1.15401 + 1.29162i 0.0416416 + 0.0466071i
\(769\) −30.8587 30.8587i −1.11279 1.11279i −0.992771 0.120022i \(-0.961703\pi\)
−0.120022 0.992771i \(-0.538297\pi\)
\(770\) −15.3311 4.88711i −0.552495 0.176119i
\(771\) −7.75402 + 1.61700i −0.279254 + 0.0582350i
\(772\) 3.74867 13.9902i 0.134917 0.503519i
\(773\) 0.185277 + 0.691463i 0.00666395 + 0.0248702i 0.969178 0.246362i \(-0.0792354\pi\)
−0.962514 + 0.271233i \(0.912569\pi\)
\(774\) 10.1471