Properties

Label 546.2.bv.a.515.14
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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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 515.14
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.15401 - 1.29162i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.59930 - 0.696480i) q^{5} +(-1.44898 + 0.948926i) q^{6} +(-2.64286 - 0.123744i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-0.336539 - 2.98106i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.15401 - 1.29162i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.59930 - 0.696480i) q^{5} +(-1.44898 + 0.948926i) q^{6} +(-2.64286 - 0.123744i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-0.336539 - 2.98106i) q^{9} +(2.33047 + 1.34550i) q^{10} +(-2.18309 + 0.584957i) q^{11} +(1.64521 - 0.541568i) q^{12} +(3.60118 + 0.177392i) q^{13} +(2.52078 + 0.803549i) q^{14} +(-3.89919 + 2.55355i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-2.76493 + 4.78900i) q^{17} +(-0.446484 + 2.96659i) q^{18} +(-1.13617 + 4.24023i) q^{19} +(-1.90282 - 1.90282i) q^{20} +(-3.20970 + 3.27075i) q^{21} +2.26010 q^{22} +(-0.278595 - 0.482540i) q^{23} +(-1.72932 + 0.0973042i) 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} +(4.42724 - 1.45736i) q^{30} +(-6.07629 + 1.62814i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(-1.76376 + 3.49475i) 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} +(4.38491 - 4.44663i) q^{39} +(1.34550 + 2.33047i) q^{40} +(2.93748 - 2.93748i) q^{41} +(3.94687 - 2.32857i) q^{42} +4.32548i q^{43} +(-2.18309 - 0.584957i) q^{44} +(-1.20148 + 7.98306i) 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} +(2.99480 + 9.09776i) q^{51} +(3.03002 + 1.95422i) q^{52} +(-9.23165 - 5.32989i) q^{53} +(3.31645 + 4.00015i) q^{54} +6.08191 q^{55} +(1.78128 + 1.95628i) q^{56} +(4.16560 + 6.36074i) q^{57} +(0.968035 - 3.61275i) q^{58} +(2.68732 - 0.720065i) q^{59} +(-4.65357 + 0.261845i) q^{60} +(-6.48698 - 11.2358i) q^{61} +6.29064 q^{62} +(0.520536 + 7.92017i) q^{63} +1.00000i q^{64} +(-9.23700 - 2.96925i) q^{65} +(2.60817 - 2.91918i) 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} +(-1.86996 + 2.34590i) q^{72} +(0.788281 + 2.94191i) q^{73} +(4.84541 + 2.79750i) q^{74} +(3.68762 - 1.21389i) q^{75} +(-3.10406 + 3.10406i) q^{76} +(5.84197 - 1.27581i) q^{77} +(-5.38637 + 3.16022i) q^{78} +(3.11621 + 5.39743i) q^{79} +(-0.696480 - 2.59930i) q^{80} +(-8.77348 + 2.00649i) q^{81} +(-3.59766 + 2.07711i) q^{82} +(11.5170 - 11.5170i) q^{83} +(-4.41506 + 1.22770i) q^{84} +(10.5223 - 10.5223i) q^{85} +(1.11952 - 4.17809i) q^{86} +(4.83090 + 4.31621i) 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} +(-4.90915 + 9.72711i) q^{93} +(-4.33492 + 7.50830i) q^{94} +(5.90647 - 10.2303i) q^{95} +(-1.54628 - 0.780390i) q^{96} +(-1.99264 - 1.99264i) q^{97} +(-6.56261 - 2.43560i) q^{98} +(2.47849 + 6.31106i) 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
\(3\) 1.15401 1.29162i 0.666266 0.745714i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −2.59930 0.696480i −1.16244 0.311475i −0.374501 0.927227i \(-0.622186\pi\)
−0.787940 + 0.615751i \(0.788853\pi\)
\(6\) −1.44898 + 0.948926i −0.591543 + 0.387397i
\(7\) −2.64286 0.123744i −0.998906 0.0467709i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −0.336539 2.98106i −0.112180 0.993688i
\(10\) 2.33047 + 1.34550i 0.736958 + 0.425483i
\(11\) −2.18309 + 0.584957i −0.658226 + 0.176371i −0.572445 0.819943i \(-0.694005\pi\)
−0.0857806 + 0.996314i \(0.527338\pi\)
\(12\) 1.64521 0.541568i 0.474930 0.156337i
\(13\) 3.60118 + 0.177392i 0.998789 + 0.0491996i
\(14\) 2.52078 + 0.803549i 0.673706 + 0.214758i
\(15\) −3.89919 + 2.55355i −1.00677 + 0.659324i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −2.76493 + 4.78900i −0.670594 + 1.16150i 0.307142 + 0.951664i \(0.400627\pi\)
−0.977736 + 0.209839i \(0.932706\pi\)
\(18\) −0.446484 + 2.96659i −0.105237 + 0.699232i
\(19\) −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
\(21\) −3.20970 + 3.27075i −0.700414 + 0.713736i
\(22\) 2.26010 0.481855
\(23\) −0.278595 0.482540i −0.0580910 0.100617i 0.835517 0.549464i \(-0.185168\pi\)
−0.893608 + 0.448847i \(0.851835\pi\)
\(24\) −1.72932 + 0.0973042i −0.352995 + 0.0198621i
\(25\) 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 \(0.112891\pi\)
−0.937766 + 0.347269i \(0.887109\pi\)
\(30\) 4.42724 1.45736i 0.808299 0.266076i
\(31\) −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
\(33\) −1.76376 + 3.49475i −0.307031 + 0.608358i
\(34\) 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
\(39\) 4.38491 4.44663i 0.702148 0.712031i
\(40\) 1.34550 + 2.33047i 0.212742 + 0.368479i
\(41\) 2.93748 2.93748i 0.458757 0.458757i −0.439491 0.898247i \(-0.644841\pi\)
0.898247 + 0.439491i \(0.144841\pi\)
\(42\) 3.94687 2.32857i 0.609015 0.359306i
\(43\) 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
\(45\) −1.20148 + 7.98306i −0.179107 + 1.19005i
\(46\) 0.144211 + 0.538204i 0.0212628 + 0.0793538i
\(47\) 2.24392 8.37442i 0.327309 1.22153i −0.584661 0.811278i \(-0.698772\pi\)
0.911970 0.410257i \(-0.134561\pi\)
\(48\) 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
\(51\) 2.99480 + 9.09776i 0.419356 + 1.27394i
\(52\) 3.03002 + 1.95422i 0.420188 + 0.271001i
\(53\) −9.23165 5.32989i −1.26806 0.732117i −0.293443 0.955977i \(-0.594801\pi\)
−0.974621 + 0.223859i \(0.928134\pi\)
\(54\) 3.31645 + 4.00015i 0.451311 + 0.544351i
\(55\) 6.08191 0.820084
\(56\) 1.78128 + 1.95628i 0.238034 + 0.261419i
\(57\) 4.16560 + 6.36074i 0.551748 + 0.842501i
\(58\) 0.968035 3.61275i 0.127109 0.474378i
\(59\) 2.68732 0.720065i 0.349859 0.0937445i −0.0796097 0.996826i \(-0.525367\pi\)
0.429469 + 0.903082i \(0.358701\pi\)
\(60\) −4.65357 + 0.261845i −0.600774 + 0.0338040i
\(61\) −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
\(63\) 0.520536 + 7.92017i 0.0655814 + 0.997847i
\(64\) 1.00000i 0.125000i
\(65\) −9.23700 2.96925i −1.14571 0.368290i
\(66\) 2.60817 2.91918i 0.321043 0.359326i
\(67\) −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 \(0.628545\pi\)
−0.919561 + 0.392948i \(0.871455\pi\)
\(72\) −1.86996 + 2.34590i −0.220377 + 0.276467i
\(73\) 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
\(75\) 3.68762 1.21389i 0.425809 0.140168i
\(76\) −3.10406 + 3.10406i −0.356061 + 0.356061i
\(77\) 5.84197 1.27581i 0.665755 0.145392i
\(78\) −5.38637 + 3.16022i −0.609887 + 0.357824i
\(79\) 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
\(81\) −8.77348 + 2.00649i −0.974831 + 0.222943i
\(82\) −3.59766 + 2.07711i −0.397295 + 0.229378i
\(83\) 11.5170 11.5170i 1.26416 1.26416i 0.315095 0.949060i \(-0.397964\pi\)
0.949060 0.315095i \(-0.102036\pi\)
\(84\) −4.41506 + 1.22770i −0.481722 + 0.133953i
\(85\) 10.5223 10.5223i 1.14131 1.14131i
\(86\) 1.11952 4.17809i 0.120721 0.450535i
\(87\) 4.83090 + 4.31621i 0.517926 + 0.462746i
\(88\) 1.95730 + 1.13005i 0.208649 + 0.120464i
\(89\) −0.622170 + 2.32197i −0.0659499 + 0.246128i −0.991029 0.133646i \(-0.957332\pi\)
0.925079 + 0.379774i \(0.123998\pi\)
\(90\) 3.22671 7.40008i 0.340126 0.780037i
\(91\) −9.49546 0.914446i −0.995395 0.0958600i
\(92\) 0.557190i 0.0580910i
\(93\) −4.90915 + 9.72711i −0.509055 + 1.00865i
\(94\) −4.33492 + 7.50830i −0.447113 + 0.774422i
\(95\) 5.90647 10.2303i 0.605991 1.04961i
\(96\) −1.54628 0.780390i −0.157817 0.0796482i
\(97\) −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
\(99\) 2.47849 + 6.31106i 0.249097 + 0.634286i
\(100\) 1.12072 + 1.94114i 0.112072 + 0.194114i
\(101\) 7.61277 13.1857i 0.757499 1.31203i −0.186623 0.982432i \(-0.559754\pi\)
0.944122 0.329596i \(-0.106912\pi\)
\(102\) −0.538079 9.56287i −0.0532777 0.946866i
\(103\) 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
\(105\) 10.6210 6.26616i 1.03650 0.611515i
\(106\) 7.53761 + 7.53761i 0.732117 + 0.732117i
\(107\) −4.66367 + 2.69257i −0.450854 + 0.260301i −0.708191 0.706021i \(-0.750488\pi\)
0.257337 + 0.966322i \(0.417155\pi\)
\(108\) −2.16813 4.72221i −0.208628 0.454394i
\(109\) 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
\(111\) −8.10703 + 5.30923i −0.769485 + 0.503930i
\(112\) −1.21426 2.35065i −0.114737 0.222116i
\(113\) 0.511037i 0.0480743i −0.999711 0.0240372i \(-0.992348\pi\)
0.999711 0.0240372i \(-0.00765200\pi\)
\(114\) −2.37738 7.22214i −0.222662 0.676416i
\(115\) 0.388071 + 1.44830i 0.0361878 + 0.135055i
\(116\) −1.87010 + 3.23911i −0.173634 + 0.300744i
\(117\) −0.683125 10.7951i −0.0631549 0.998004i
\(118\) −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
\(123\) −0.404223 7.18395i −0.0364476 0.647755i
\(124\) −6.07629 1.62814i −0.545667 0.146211i
\(125\) 5.24905 + 5.24905i 0.469490 + 0.469490i
\(126\) 1.54709 7.78502i 0.137826 0.693545i
\(127\) 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
\(129\) 5.58685 + 4.99163i 0.491895 + 0.439488i
\(130\) 8.15376 + 5.25878i 0.715132 + 0.461226i
\(131\) −1.45433 + 0.839655i −0.127065 + 0.0733610i −0.562185 0.827011i \(-0.690039\pi\)
0.435120 + 0.900372i \(0.356706\pi\)
\(132\) −3.27484 + 2.14467i −0.285038 + 0.186669i
\(133\) 3.52743 11.0657i 0.305867 0.959520i
\(134\) 13.0908 1.13087
\(135\) 8.92453 + 10.7644i 0.768101 + 0.926449i
\(136\) 5.34143 1.43123i 0.458024 0.122727i
\(137\) 11.1177 2.97898i 0.949849 0.254511i 0.249551 0.968362i \(-0.419717\pi\)
0.700298 + 0.713850i \(0.253050\pi\)
\(138\) 0.861573 + 0.434825i 0.0733420 + 0.0370148i
\(139\) −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
\(141\) −8.22703 12.5624i −0.692841 1.05795i
\(142\) 13.5449 7.82017i 1.13667 0.656254i
\(143\) −7.96547 + 1.71928i −0.666106 + 0.143773i
\(144\) 2.41341 1.78198i 0.201117 0.148499i
\(145\) 2.60497 9.72189i 0.216331 0.807359i
\(146\) 3.04569i 0.252063i
\(147\) 8.88752 8.24694i 0.733030 0.680196i
\(148\) −3.95626 3.95626i −0.325202 0.325202i
\(149\) −9.63616 2.58200i −0.789425 0.211526i −0.158489 0.987361i \(-0.550662\pi\)
−0.630936 + 0.775835i \(0.717329\pi\)
\(150\) −3.87614 + 0.218101i −0.316486 + 0.0178079i
\(151\) −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
\(156\) 6.02076 1.65844i 0.482047 0.132782i
\(157\) 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
\(159\) −17.5376 + 5.77300i −1.39082 + 0.457829i
\(160\) 2.69099i 0.212742i
\(161\) 0.676575 + 1.30976i 0.0533215 + 0.103223i
\(162\) 8.99385 + 0.332623i 0.706624 + 0.0261334i
\(163\) 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
\(165\) 7.01856 7.85548i 0.546394 0.611548i
\(166\) −14.1054 + 8.14375i −1.09479 + 0.632078i
\(167\) −17.0012 17.0012i −1.31559 1.31559i −0.917226 0.398366i \(-0.869577\pi\)
−0.398366 0.917226i \(-0.630423\pi\)
\(168\) 4.58237 0.0431684i 0.353538 0.00333051i
\(169\) 12.9371 + 1.27764i 0.995159 + 0.0982800i
\(170\) −12.8872 + 7.44040i −0.988400 + 0.570653i
\(171\) 13.0228 + 1.95998i 0.995876 + 0.149883i
\(172\) −2.16274 + 3.74597i −0.164907 + 0.285628i
\(173\) 6.50218 + 11.2621i 0.494351 + 0.856242i 0.999979 0.00651019i \(-0.00207227\pi\)
−0.505627 + 0.862752i \(0.668739\pi\)
\(174\) −3.54917 5.41947i −0.269062 0.410849i
\(175\) −4.99146 3.20210i −0.377319 0.242056i
\(176\) −1.59813 1.59813i −0.120464 0.120464i
\(177\) 2.17114 4.30194i 0.163193 0.323354i
\(178\) 1.20194 2.08182i 0.0900892 0.156039i
\(179\) −5.11914 + 8.86662i −0.382623 + 0.662722i −0.991436 0.130591i \(-0.958312\pi\)
0.608814 + 0.793313i \(0.291646\pi\)
\(180\) −5.03205 + 6.31279i −0.375067 + 0.470528i
\(181\) 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
\(186\) 7.25944 8.12509i 0.532288 0.595760i
\(187\) 3.23473 12.0722i 0.236547 0.882805i
\(188\) 6.13050 6.13050i 0.447113 0.447113i
\(189\) 10.8305 + 8.46759i 0.787804 + 0.615927i
\(190\) −8.35301 + 8.35301i −0.605991 + 0.605991i
\(191\) −19.1767 + 11.0717i −1.38758 + 0.801117i −0.993042 0.117765i \(-0.962427\pi\)
−0.394534 + 0.918882i \(0.629094\pi\)
\(192\) 1.29162 + 1.15401i 0.0932143 + 0.0832832i
\(193\) −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
\(195\) −14.4947 + 8.50412i −1.03799 + 0.608993i
\(196\) 5.70862 + 4.05113i 0.407758 + 0.289367i
\(197\) 6.50161 6.50161i 0.463220 0.463220i −0.436489 0.899710i \(-0.643778\pi\)
0.899710 + 0.436489i \(0.143778\pi\)
\(198\) −0.760612 6.73750i −0.0540544 0.478813i
\(199\) −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
\(201\) −10.2159 + 20.2421i −0.720576 + 1.42777i
\(202\) −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
\(207\) −1.34473 + 0.992903i −0.0934649 + 0.0690115i
\(208\) 1.64697 + 3.20741i 0.114197 + 0.222394i
\(209\) 9.92141i 0.686278i
\(210\) −11.8809 + 3.30374i −0.819859 + 0.227979i
\(211\) −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
\(213\) 1.52187 + 27.0471i 0.104277 + 1.85324i
\(214\) 5.20165 1.39378i 0.355577 0.0952766i
\(215\) 3.01261 11.2432i 0.205458 0.766780i
\(216\) 0.872053 + 5.12245i 0.0593357 + 0.348539i
\(217\) 16.2602 3.55103i 1.10382 0.241060i
\(218\) −3.08351 −0.208842
\(219\) 4.70949 + 2.37682i 0.318238 + 0.160611i
\(220\) 5.26709 + 3.04095i 0.355107 + 0.205021i
\(221\) −10.8066 + 16.7556i −0.726927 + 1.12710i
\(222\) 9.20492 3.03007i 0.617794 0.203365i
\(223\) −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 \(0.162785\pi\)
−0.510522 + 0.859865i \(0.670548\pi\)
\(228\) 0.427147 + 7.59137i 0.0282885 + 0.502751i
\(229\) 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
\(231\) 5.09381 9.01787i 0.335148 0.593333i
\(232\) 2.64472 2.64472i 0.173634 0.173634i
\(233\) −6.17835 10.7012i −0.404757 0.701060i 0.589536 0.807742i \(-0.299311\pi\)
−0.994293 + 0.106682i \(0.965977\pi\)
\(234\) −2.13412 + 10.6040i −0.139512 + 0.693207i
\(235\) −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 \(0.517493\pi\)
−0.998490 + 0.0549281i \(0.982507\pi\)
\(240\) −4.16103 2.10002i −0.268594 0.135556i
\(241\) 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
\(243\) −7.53304 + 13.6475i −0.483245 + 0.875485i
\(244\) 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
\(249\) −1.58484 28.1662i −0.100435 1.78496i
\(250\) −3.71164 6.42875i −0.234745 0.406590i
\(251\) −7.25002 −0.457617 −0.228809 0.973471i \(-0.573483\pi\)
−0.228809 + 0.973471i \(0.573483\pi\)
\(252\) −3.50929 + 7.11933i −0.221064 + 0.448476i
\(253\) 0.890462 + 0.890462i 0.0559829 + 0.0559829i
\(254\) −3.10530 + 11.5891i −0.194844 + 0.727167i
\(255\) −1.44796 25.7336i −0.0906751 1.61150i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.28655 + 3.96041i 0.142631 + 0.247044i 0.928487 0.371366i \(-0.121111\pi\)
−0.785856 + 0.618410i \(0.787777\pi\)
\(258\) −4.10456 6.26753i −0.255539 0.390199i
\(259\) 14.1037 + 4.49585i 0.876363 + 0.279359i
\(260\) −6.51486 7.18994i −0.404034 0.445901i
\(261\) 11.1498 1.25872i 0.690153 0.0779131i
\(262\) 1.62209 0.434637i 0.100213 0.0268520i
\(263\) 1.07612 + 0.621300i 0.0663566 + 0.0383110i 0.532811 0.846234i \(-0.321136\pi\)
−0.466455 + 0.884545i \(0.654469\pi\)
\(264\) 3.71833 1.22400i 0.228847 0.0753319i
\(265\) 20.2836 + 20.2836i 1.24601 + 1.24601i
\(266\) −6.27125 + 9.77570i −0.384515 + 0.599387i
\(267\) 2.28110 + 3.48317i 0.139601 + 0.213167i
\(268\) −12.6447 3.38815i −0.772400 0.206964i
\(269\) 11.7975 + 6.81128i 0.719305 + 0.415291i 0.814497 0.580168i \(-0.197013\pi\)
−0.0951919 + 0.995459i \(0.530346\pi\)
\(270\) −5.83441 12.7074i −0.355071 0.773349i
\(271\) −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
\(273\) −12.1389 + 11.2092i −0.734682 + 0.678412i
\(274\) −11.5099 −0.695338
\(275\) −4.89324 1.31114i −0.295074 0.0790648i
\(276\) −0.719675 0.643000i −0.0433193 0.0387041i
\(277\) −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
\(279\) 6.89850 + 17.5659i 0.413002 + 1.05164i
\(280\) −3.26757 6.32558i −0.195275 0.378026i
\(281\) 5.89904 + 5.89904i 0.351907 + 0.351907i 0.860819 0.508912i \(-0.169952\pi\)
−0.508912 + 0.860819i \(0.669952\pi\)
\(282\) 4.69531 + 14.2637i 0.279602 + 0.849389i
\(283\) −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
\(285\) −6.39751 19.4347i −0.378956 1.15121i
\(286\) 8.13903 + 0.400923i 0.481271 + 0.0237070i
\(287\) −8.12682 + 7.39983i −0.479711 + 0.436798i
\(288\) −2.79238 + 1.09663i −0.164543 + 0.0646194i
\(289\) −6.78968 11.7601i −0.399393 0.691769i
\(290\) −5.03242 + 8.71641i −0.295514 + 0.511845i
\(291\) −4.87323 + 0.274204i −0.285674 + 0.0160741i
\(292\) −0.788281 + 2.94191i −0.0461307 + 0.172162i
\(293\) −11.7557 11.7557i −0.686775 0.686775i 0.274743 0.961518i \(-0.411407\pi\)
−0.961518 + 0.274743i \(0.911407\pi\)
\(294\) −10.7191 + 5.66568i −0.625153 + 0.330429i
\(295\) −7.48666 −0.435890
\(296\) 2.79750 + 4.84541i 0.162601 + 0.281634i
\(297\) 11.0117 + 4.08175i 0.638961 + 0.236847i
\(298\) 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
\(303\) −8.24568 25.0492i −0.473702 1.43904i
\(304\) −4.24023 + 1.13617i −0.243194 + 0.0651636i
\(305\) 9.03610 + 33.7232i 0.517406 + 1.93098i
\(306\) −12.9725 10.3406i −0.741588 0.591134i
\(307\) −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 \(0.397780\pi\)
−0.979574 + 0.201085i \(0.935553\pi\)
\(312\) −6.24485 + 0.0436445i −0.353545 + 0.00247088i
\(313\) 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
\(315\) 4.16321 20.9494i 0.234570 1.18037i
\(316\) 6.23241i 0.350600i
\(317\) −9.06323 2.42848i −0.509042 0.136397i −0.00484849 0.999988i \(-0.501543\pi\)
−0.504193 + 0.863591i \(0.668210\pi\)
\(318\) 18.4341 1.03724i 1.03374 0.0581657i
\(319\) −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
\(324\) −8.60130 2.64907i −0.477850 0.147171i
\(325\) 6.79159 + 4.38025i 0.376730 + 0.242972i
\(326\) −16.4062 9.47214i −0.908657 0.524613i
\(327\) 2.40634 4.76798i 0.133071 0.263670i
\(328\) −4.15422 −0.229378
\(329\) −6.96664 + 21.8547i −0.384083 + 1.20489i
\(330\) −8.81255 + 5.77128i −0.485115 + 0.317698i
\(331\) 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
\(333\) −2.49808 + 16.5981i −0.136894 + 0.909568i
\(334\) 12.0217 + 20.8221i 0.657796 + 1.13934i
\(335\) 35.2272 1.92467
\(336\) −4.43740 1.14431i −0.242080 0.0624271i
\(337\) 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
\(339\) −0.660063 0.589740i −0.0358497 0.0320303i
\(340\) 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
\(345\) 2.31849 + 1.17011i 0.124823 + 0.0629966i
\(346\) −3.36577 12.5612i −0.180945 0.675297i
\(347\) 25.8669 + 14.9343i 1.38861 + 0.801714i 0.993159 0.116773i \(-0.0372549\pi\)
0.395451 + 0.918487i \(0.370588\pi\)
\(348\) 2.02557 + 6.15340i 0.108582 + 0.329857i
\(349\) 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
\(351\) −14.7314 11.5752i −0.786304 0.617840i
\(352\) 1.13005 + 1.95730i 0.0602318 + 0.104325i
\(353\) −5.45562 20.3606i −0.290373 1.08369i −0.944823 0.327582i \(-0.893766\pi\)
0.654450 0.756106i \(-0.272900\pi\)
\(354\) −3.21058 + 3.59343i −0.170641 + 0.190989i
\(355\) 36.4493 21.0440i 1.93453 1.11690i
\(356\) −1.69980 + 1.69980i −0.0900892 + 0.0900892i
\(357\) −6.78902 24.4147i −0.359313 1.29216i
\(358\) 7.23956 7.23956i 0.382623 0.382623i
\(359\) −7.21572 + 26.9294i −0.380831 + 1.42128i 0.463804 + 0.885938i \(0.346484\pi\)
−0.844635 + 0.535343i \(0.820182\pi\)
\(360\) 6.49446 4.79530i 0.342288 0.252735i
\(361\) −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
\(366\) 20.0614 + 10.1247i 1.04863 + 0.529229i
\(367\) 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
\(369\) −9.74538 7.76823i −0.507324 0.404398i
\(370\) −10.6463 10.6463i −0.553472 0.553472i
\(371\) 23.7384 + 15.2285i 1.23243 + 0.790625i
\(372\) −9.11501 + 5.96935i −0.472591 + 0.309496i
\(373\) −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
\(375\) 12.8372 0.722317i 0.662910 0.0373003i
\(376\) −7.50830 + 4.33492i −0.387211 + 0.223556i
\(377\) −0.663480 + 13.4691i −0.0341709 + 0.693696i
\(378\) −8.26989 10.9822i −0.425358 0.564864i
\(379\) 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
\(381\) −15.4968 13.8457i −0.793923 0.709338i
\(382\) 21.3888 5.73111i 1.09435 0.293229i
\(383\) 30.5310 + 8.18076i 1.56006 + 0.418018i 0.932683 0.360696i \(-0.117461\pi\)
0.627379 + 0.778714i \(0.284128\pi\)
\(384\) −0.948926 1.44898i −0.0484247 0.0739429i
\(385\) −16.0736 0.752600i −0.819187 0.0383561i
\(386\) 14.4837i 0.737203i
\(387\) 12.8945 1.45569i 0.655466 0.0739971i
\(388\) −0.729355 2.72199i −0.0370274 0.138188i
\(389\) −0.939259 + 1.62684i −0.0476223 + 0.0824843i −0.888854 0.458191i \(-0.848498\pi\)
0.841232 + 0.540675i \(0.181831\pi\)
\(390\) 16.2018 4.46285i 0.820411 0.225985i
\(391\) 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
\(396\) −1.00910 + 6.70479i −0.0507091 + 0.336928i
\(397\) 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
\(399\) −10.2220 17.3260i −0.511739 0.867385i
\(400\) 2.24143i 0.112072i
\(401\) −5.22555 + 19.5020i −0.260951 + 0.973884i 0.703731 + 0.710467i \(0.251516\pi\)
−0.964682 + 0.263417i \(0.915151\pi\)
\(402\) 15.1069 16.9083i 0.753462 0.843308i
\(403\) −22.1707 + 4.78534i −1.10440 + 0.238375i
\(404\) 13.1857 7.61277i 0.656014 0.378750i
\(405\) 24.2024 + 0.895086i 1.20263 + 0.0444772i
\(406\) −3.00543 + 9.42820i −0.149157 + 0.467914i
\(407\) 12.6452 0.626801
\(408\) 4.31545 8.55073i 0.213646 0.423324i
\(409\) 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
\(411\) 8.98220 17.7975i 0.443059 0.877888i
\(412\) 1.70877 0.0841852
\(413\) −7.19131 + 1.57049i −0.353861 + 0.0772787i
\(414\) 1.55589 0.611030i 0.0764677 0.0300305i
\(415\) −37.9575 + 21.9148i −1.86326 + 1.07575i
\(416\) −0.760708 3.52439i −0.0372968 0.172797i
\(417\) −8.89021 + 9.95032i −0.435355 + 0.487269i
\(418\) −2.56785 + 9.58334i −0.125598 + 0.468737i
\(419\) 1.60403i 0.0783619i −0.999232 0.0391809i \(-0.987525\pi\)
0.999232 0.0391809i \(-0.0124749\pi\)
\(420\) 12.3311 0.116166i 0.601697 0.00566831i
\(421\) 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
\(423\) −25.7198 3.87094i −1.25054 0.188212i
\(424\) 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
\(429\) −6.97156 + 12.2724i −0.336590 + 0.592516i
\(430\) −5.81991 + 10.0804i −0.280661 + 0.486119i
\(431\) 4.15891 + 15.5213i 0.200328 + 0.747633i 0.990823 + 0.135165i \(0.0431564\pi\)
−0.790495 + 0.612468i \(0.790177\pi\)
\(432\) 0.483450 5.17361i 0.0232600 0.248916i
\(433\) 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
\(435\) −9.55078 14.5837i −0.457925 0.699237i
\(436\) 2.97844 + 0.798071i 0.142642 + 0.0382207i
\(437\) 2.36261 0.633060i 0.113019 0.0302834i
\(438\) −3.93385 3.51474i −0.187967 0.167941i
\(439\) −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
\(441\) −0.395627 20.9963i −0.0188394 0.999823i
\(442\) 14.7750 13.3877i 0.702775 0.636789i
\(443\) −11.4832 + 6.62982i −0.545583 + 0.314992i −0.747339 0.664443i \(-0.768669\pi\)
0.201756 + 0.979436i \(0.435335\pi\)
\(444\) −9.67551 + 0.544417i −0.459179 + 0.0258369i
\(445\) 3.23441 5.60216i 0.153326 0.265568i
\(446\) 9.33481 + 16.1684i 0.442016 + 0.765595i
\(447\) −14.4551 + 9.46656i −0.683705 + 0.447753i
\(448\) 0.123744 2.64286i 0.00584636 0.124863i
\(449\) −11.1834 11.1834i −0.527778 0.527778i 0.392131 0.919909i \(-0.371738\pi\)
−0.919909 + 0.392131i \(0.871738\pi\)
\(450\) −4.19139 + 5.25817i −0.197584 + 0.247873i
\(451\) −4.69447 + 8.13107i −0.221054 + 0.382877i
\(452\) 0.255518 0.442571i 0.0120186 0.0208168i
\(453\) −6.01597 3.03618i −0.282655 0.142652i
\(454\) 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
\(459\) 26.1131 11.9894i 1.21886 0.559619i
\(460\) −0.388071 + 1.44830i −0.0180939 + 0.0675274i
\(461\) 20.9563 20.9563i 0.976032 0.976032i −0.0236871 0.999719i \(-0.507541\pi\)
0.999719 + 0.0236871i \(0.00754055\pi\)
\(462\) −7.25424 + 7.39222i −0.337498 + 0.343917i
\(463\) 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
\(465\) 19.5351 21.8645i 0.905918 1.01394i
\(466\) 3.19815 + 11.9357i 0.148151 + 0.552908i
\(467\) −9.89030 17.1305i −0.457669 0.792705i 0.541169 0.840914i \(-0.317982\pi\)
−0.998837 + 0.0482088i \(0.984649\pi\)
\(468\) 4.80593 9.69036i 0.222154 0.447937i
\(469\) 33.8375 7.38967i 1.56247 0.341223i
\(470\) 16.4971 16.4971i 0.760956 0.760956i
\(471\) −3.47887 10.5683i −0.160298 0.486961i
\(472\) −2.40939 1.39106i −0.110901 0.0640287i
\(473\) −2.53022 9.44290i −0.116340 0.434185i
\(474\) −9.63707 4.86371i −0.442645 0.223398i
\(475\) −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 −0.890564 0.454857i \(-0.849690\pi\)
−0.543823 + 0.839200i \(0.683024\pi\)
\(480\) 3.47572 + 3.10542i 0.158644 + 0.141742i
\(481\) −19.2052 6.17353i −0.875681 0.281489i
\(482\) 26.4896i 1.20657i
\(483\) 2.47248 + 0.637597i 0.112502 + 0.0290116i
\(484\) −5.89195 −0.267816
\(485\) 3.79162 + 6.56728i 0.172169 + 0.298205i
\(486\) 10.8086 11.2327i 0.490287 0.509528i
\(487\) −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
\(489\) 27.4499 17.9767i 1.24133 0.812935i
\(490\) 15.3618 + 10.9016i 0.693977 + 0.492482i
\(491\) 10.5203 0.474776 0.237388 0.971415i \(-0.423709\pi\)
0.237388 + 0.971415i \(0.423709\pi\)
\(492\) 3.24191 6.42360i 0.146157 0.289598i
\(493\) −17.9118 10.3414i −0.806707 0.465753i
\(494\) 8.57865 13.3012i 0.385972 0.598450i
\(495\) −2.04680 18.1306i −0.0919969 0.814908i
\(496\) −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
\(501\) −41.5785 + 2.33952i −1.85759 + 0.104522i
\(502\) 7.00298 + 1.87644i 0.312558 + 0.0837497i
\(503\) 15.9064i 0.709233i 0.935012 + 0.354616i \(0.115389\pi\)
−0.935012 + 0.354616i \(0.884611\pi\)
\(504\) 5.23233 5.96848i 0.233066 0.265857i
\(505\) −28.9714 + 28.9714i −1.28921 + 1.28921i
\(506\) −0.629652 1.09059i −0.0279914 0.0484826i
\(507\) 16.5797 15.2353i 0.736329 0.676624i
\(508\) 5.99898 10.3905i 0.266162 0.461006i
\(509\) −7.67182 2.05566i −0.340048 0.0911155i 0.0847541 0.996402i \(-0.472990\pi\)
−0.424802 + 0.905286i \(0.639656\pi\)
\(510\) −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
\(513\) 17.5599 14.5586i 0.775288 0.642777i
\(514\) −1.18360 4.41727i −0.0522065 0.194837i
\(515\) −4.44161 + 1.19013i −0.195721 + 0.0524432i
\(516\) 2.34254 + 7.11631i 0.103125 + 0.313278i
\(517\) 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 0.0463164 0.998927i \(-0.485252\pi\)
−0.841938 + 0.539575i \(0.818585\pi\)
\(522\) −11.0956 1.66994i −0.485643 0.0730912i
\(523\) 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
\(525\) −9.89605 + 2.75181i −0.431899 + 0.120099i
\(526\) −0.878650 0.878650i −0.0383110 0.0383110i
\(527\) 9.00338 33.6011i 0.392193 1.46369i
\(528\) −3.90842 + 0.219917i −0.170092 + 0.00957067i
\(529\) 11.3448 19.6497i 0.493251 0.854336i
\(530\) −14.3427 24.8423i −0.623007 1.07908i
\(531\) −3.05095 7.76874i −0.132400 0.337135i
\(532\) 8.58771 7.81949i 0.372324 0.339018i
\(533\) 11.0995 10.0573i 0.480772 0.435631i
\(534\) −1.30187 3.95488i −0.0563372 0.171144i
\(535\) 13.9976 3.75064i 0.605168 0.162154i
\(536\) 11.3370 + 6.54540i 0.489682 + 0.282718i
\(537\) 5.54473 + 16.8441i 0.239273 + 0.726876i
\(538\) −9.63260 9.63260i −0.415291 0.415291i
\(539\) −15.5974 + 2.64888i −0.671826 + 0.114095i
\(540\) 2.34669 + 13.7845i 0.100985 + 0.593189i
\(541\) −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
\(543\) −5.54231 4.95183i −0.237843 0.212504i
\(544\) 5.34143 + 1.43123i 0.229012 + 0.0613636i
\(545\) −8.29770 −0.355434
\(546\) 14.6265 7.68547i 0.625955 0.328908i
\(547\) −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
\(549\) −31.3114 + 23.1194i −1.33634 + 0.986711i
\(550\) 4.38716 + 2.53293i 0.187069 + 0.108004i
\(551\) −15.8593 4.24949i −0.675629 0.181034i
\(552\) 0.528732 + 0.807356i 0.0225043 + 0.0343634i
\(553\) −7.56778 14.6502i −0.321815 0.622991i
\(554\) 9.49541 + 9.49541i 0.403421 + 0.403421i
\(555\) 24.7704 8.15390i 1.05144 0.346114i
\(556\) −6.67167 3.85189i −0.282942 0.163357i
\(557\) 33.1313 8.87750i 1.40382 0.376152i 0.524103 0.851655i \(-0.324401\pi\)
0.879714 + 0.475503i \(0.157734\pi\)
\(558\) −2.11705 18.7528i −0.0896218 0.793870i
\(559\) −0.767304 + 15.5768i −0.0324535 + 0.658831i
\(560\) 1.51905 + 6.95575i 0.0641915 + 0.293934i
\(561\) −11.8597 18.1094i −0.500717 0.764579i
\(562\) −4.17125 7.22481i −0.175953 0.304760i
\(563\) 9.43062 16.3343i 0.397453 0.688409i −0.595958 0.803016i \(-0.703227\pi\)
0.993411 + 0.114606i \(0.0365607\pi\)
\(564\) −0.843612 14.9929i −0.0355225 0.631314i
\(565\) −0.355927 + 1.32834i −0.0149740 + 0.0558836i
\(566\) 0.142289 + 0.142289i 0.00598084 + 0.00598084i
\(567\) 23.4353 4.21720i 0.984192 0.177106i
\(568\) 15.6403 0.656254
\(569\) −0.844881 1.46338i −0.0354193 0.0613480i 0.847772 0.530360i \(-0.177943\pi\)
−0.883192 + 0.469012i \(0.844610\pi\)
\(570\) 1.14945 + 20.4283i 0.0481451 + 0.855647i
\(571\) 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
\(576\) 2.98106 0.336539i 0.124211 0.0140225i
\(577\) −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
\(579\) −22.3960 11.3030i −0.930744 0.469735i
\(580\) 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
\(585\) −5.74290 + 28.5354i −0.237440 + 1.17979i
\(586\) 8.31253 + 14.3977i 0.343388 + 0.594765i
\(587\) 17.3715 17.3715i 0.717000 0.717000i −0.250990 0.967990i \(-0.580756\pi\)
0.967990 + 0.250990i \(0.0807561\pi\)
\(588\) 11.8203 2.69830i 0.487460 0.111276i
\(589\) 27.6147i 1.13784i
\(590\) 7.23156 + 1.93769i 0.297718 + 0.0797734i
\(591\) −0.894679 15.9005i −0.0368022 0.654058i
\(592\) −1.44809 5.40435i −0.0595162 0.222117i
\(593\) −7.52671 + 28.0901i −0.309085 + 1.15352i 0.620286 + 0.784375i \(0.287016\pi\)
−0.929371 + 0.369146i \(0.879650\pi\)
\(594\) −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
\(597\) −25.7559 + 8.47833i −1.05412 + 0.346995i
\(598\) 0.423859 + 1.96375i 0.0173329 + 0.0803039i
\(599\) −31.6180 18.2546i −1.29187 0.745864i −0.312888 0.949790i \(-0.601297\pi\)
−0.978986 + 0.203926i \(0.934630\pi\)
\(600\) −3.46589 1.74919i −0.141494 0.0714104i
\(601\) −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
\(603\) 14.3557 + 36.5545i 0.584611 + 1.48862i
\(604\) 1.00696 3.75803i 0.0409727 0.152912i
\(605\) 15.3149 4.10362i 0.622641 0.166836i
\(606\) 1.48151 + 26.3298i 0.0601822 + 1.06957i
\(607\) −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
\(609\) −12.2333 12.0049i −0.495717 0.486464i
\(610\) 34.9128i 1.41358i
\(611\) 9.56632 29.7598i 0.387012 1.20395i
\(612\) 9.85412 + 13.3458i 0.398329 + 0.539472i
\(613\) −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 −0.903425 0.428746i \(-0.858956\pi\)
0.428746 + 0.903425i \(0.358956\pi\)
\(618\) −1.33351 + 2.64225i −0.0536416 + 0.106287i
\(619\) 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
\(621\) −0.269373 + 2.88268i −0.0108096 + 0.115678i
\(622\) 16.5584 16.5584i 0.663932 0.663932i
\(623\) 1.93164 6.05964i 0.0773894 0.242774i
\(624\) 6.04335 + 1.57413i 0.241928 + 0.0630155i
\(625\) −15.5916 27.0054i −0.623663 1.08022i
\(626\) −3.48372 13.0014i −0.139237 0.519641i
\(627\) −12.8146 11.4494i −0.511767 0.457244i
\(628\) 5.56308 3.21184i 0.221991 0.128167i
\(629\) 21.8776 21.8776i 0.872315 0.872315i
\(630\) −9.44346 + 19.1581i −0.376236 + 0.763275i
\(631\) −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
\(633\) −7.50298 + 8.39767i −0.298217 + 0.333777i
\(634\) 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
\(639\) 36.6907 + 29.2468i 1.45146 + 1.15699i
\(640\) −1.34550 + 2.33047i −0.0531854 + 0.0921198i
\(641\) 10.3711 17.9633i 0.409635 0.709509i −0.585213 0.810879i \(-0.698989\pi\)
0.994849 + 0.101370i \(0.0323226\pi\)
\(642\) 4.20251 8.32695i 0.165860 0.328639i
\(643\) 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
\(645\) −11.0453 16.8659i −0.434909 0.664093i
\(646\) 12.1375 + 21.0228i 0.477544 + 0.827131i
\(647\) 12.8158 22.1976i 0.503840 0.872677i −0.496150 0.868237i \(-0.665253\pi\)
0.999990 0.00444027i \(-0.00141339\pi\)
\(648\) 7.62259 + 4.78499i 0.299444 + 0.187972i
\(649\) −5.44545 + 3.14393i −0.213753 + 0.123410i
\(650\) −5.42648 5.98879i −0.212844 0.234900i
\(651\) 14.1779 25.0999i 0.555674 0.983742i
\(652\) 13.3956 + 13.3956i 0.524613 + 0.524613i
\(653\) −6.17572 + 3.56555i −0.241675 + 0.139531i −0.615946 0.787788i \(-0.711226\pi\)
0.374272 + 0.927319i \(0.377893\pi\)
\(654\) −3.55839 + 3.98271i −0.139144 + 0.155736i
\(655\) 4.36503 1.16961i 0.170556 0.0457003i
\(656\) 4.01267 + 1.07519i 0.156668 + 0.0419792i
\(657\) 8.50472 3.33998i 0.331801 0.130305i
\(658\) 12.3857 19.3069i 0.482844 0.752663i
\(659\) 9.51640i 0.370706i −0.982672 0.185353i \(-0.940657\pi\)
0.982672 0.185353i \(-0.0593429\pi\)
\(660\) 10.0060 3.29377i 0.389483 0.128210i
\(661\) 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
\(663\) 9.17095 + 33.2940i 0.356170 + 1.29303i
\(664\) −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
\(669\) −32.2857 + 1.81663i −1.24824 + 0.0702351i
\(670\) −34.0269 9.11747i −1.31457 0.352239i
\(671\) 20.7341 + 20.7341i 0.800431 + 0.800431i
\(672\) 3.99004 + 2.25380i 0.153919 + 0.0869423i
\(673\) 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
\(675\) −4.85971 10.5845i −0.187050 0.407398i
\(676\) 10.5650 + 7.57500i 0.406346 + 0.291346i
\(677\) 42.3224 24.4349i 1.62658 0.939108i 0.641480 0.767140i \(-0.278321\pi\)
0.985103 0.171968i \(-0.0550125\pi\)
\(678\) 0.484936 + 0.740482i 0.0186239 + 0.0284380i
\(679\) 5.01967 + 5.51283i 0.192637 + 0.211563i
\(680\) −14.8808 −0.570653
\(681\) 32.5429 + 16.4240i 1.24705 + 0.629369i
\(682\) −13.7330 + 3.67975i −0.525865 + 0.140905i
\(683\) −21.5900 + 5.78503i −0.826119 + 0.221358i −0.647020 0.762473i \(-0.723985\pi\)
−0.179099 + 0.983831i \(0.557318\pi\)
\(684\) 10.2981 + 8.20877i 0.393756 + 0.313870i
\(685\) −30.9730 −1.18342
\(686\) 17.0426 + 7.24901i 0.650691 + 0.276769i
\(687\) 34.0381 22.2913i 1.29863 0.850466i
\(688\) −3.74597 + 2.16274i −0.142814 + 0.0824537i
\(689\) −32.2994 20.8316i −1.23051 0.793619i
\(690\) −1.93664 1.73031i −0.0737265 0.0658717i
\(691\) 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
\(693\) −5.76933 16.9859i −0.219159 0.645242i
\(694\) −21.1203 21.1203i −0.801714 0.801714i
\(695\) 20.0244 + 5.36553i 0.759569 + 0.203526i
\(696\) −0.363937 6.46798i −0.0137950 0.245168i
\(697\) 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 \(-0.397851\pi\)
0.315431 + 0.948948i \(0.397851\pi\)
\(702\) 11.2335 + 14.9936i 0.423983 + 0.565896i
\(703\) 12.2805 21.2704i 0.463167 0.802229i
\(704\) −0.584957 2.18309i −0.0220464 0.0822782i
\(705\) 12.6350 + 38.3834i 0.475863 + 1.44560i
\(706\) 21.0789i 0.793314i
\(707\) −21.7511 + 33.9059i −0.818035 + 1.27516i
\(708\) 4.03123 2.64002i 0.151503 0.0992182i
\(709\) 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
\(711\) 15.0413 11.1061i 0.564095 0.416510i
\(712\) 2.08182 1.20194i 0.0780196 0.0450446i
\(713\) 2.47847 + 2.47847i 0.0928193 + 0.0928193i
\(714\) 0.238715 + 25.3399i 0.00893369 + 0.948321i
\(715\) 21.9021 + 1.07888i 0.819091 + 0.0403478i
\(716\) −8.86662 + 5.11914i −0.331361 + 0.191311i
\(717\) 2.24102 + 39.8281i 0.0836926 + 1.48741i
\(718\) 13.9397 24.1443i 0.520225 0.901056i
\(719\) 8.81931 + 15.2755i 0.328905 + 0.569680i 0.982295 0.187342i \(-0.0599871\pi\)
−0.653390 + 0.757022i \(0.726654\pi\)
\(720\) −7.51428 + 2.95102i −0.280041 + 0.109978i
\(721\) −4.01673 + 2.07490i −0.149591 + 0.0772733i
\(722\) 0.191225 + 0.191225i 0.00711667 + 0.00711667i
\(723\) 40.9604 + 20.6722i 1.52333 + 0.768808i
\(724\) 2.14550 3.71611i 0.0797368 0.138108i
\(725\) −4.19170 + 7.26024i −0.155676 + 0.269638i
\(726\) 4.59802 9.11063i 0.170648 0.338127i
\(727\) 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
\(732\) −16.7574 14.9720i −0.619370 0.553382i
\(733\) 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
\(735\) −28.8451 + 15.2463i −1.06397 + 0.562368i
\(736\) −0.393993 + 0.393993i −0.0145228 + 0.0145228i
\(737\) 25.6227 14.7933i 0.943823 0.544916i
\(738\) 7.40275 + 10.0258i 0.272499 + 0.369056i
\(739\) 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
\(741\) 13.8728 + 23.6452i 0.509629 + 0.868626i
\(742\) −18.9881 20.8535i −0.697074 0.765558i
\(743\) −15.1463 + 15.1463i −0.555662 + 0.555662i −0.928069 0.372407i \(-0.878533\pi\)
0.372407 + 0.928069i \(0.378533\pi\)
\(744\) 10.3494 3.40681i 0.379428 0.124900i
\(745\) 23.2489 + 13.4228i 0.851775 + 0.491773i
\(746\) 1.92246 + 7.17473i 0.0703864 + 0.262686i
\(747\) −38.2088 30.4570i −1.39799 1.11436i
\(748\) 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
\(753\) −8.36657 + 9.36423i −0.304895 + 0.341252i
\(754\) 4.12694 12.8385i 0.150294 0.467550i
\(755\) 10.4696i 0.381027i
\(756\) 5.14570 + 12.7484i 0.187147 + 0.463655i
\(757\) −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
\(759\) 2.17773 0.122536i 0.0790467 0.00444776i
\(760\) −11.4104 + 3.05741i −0.413900 + 0.110904i
\(761\) 9.06509 33.8314i 0.328609 1.22639i −0.582024 0.813171i \(-0.697739\pi\)
0.910634 0.413215i \(-0.135594\pi\)
\(762\) 11.3852 + 17.3848i 0.412441 + 0.629785i
\(763\) −7.97035 + 1.74062i −0.288546 + 0.0630148i
\(764\) −22.1433 −0.801117
\(765\) −34.9089 27.8265i −1.26213 1.00607i
\(766\) −27.3734 15.8040i −0.989040 0.571023i
\(767\) 9.80527 2.11638i 0.354048 0.0764181i
\(768\) 0.541568 + 1.64521i 0.0195422 + 0.0593663i
\(769\) −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 0.962514 0.271233i \(-0.0874313\pi\)
−0.969178 + 0.246362i \(0.920765\pi\)
\(774\) −12.8319