Properties

Label 441.2.y.a.151.52
Level $441$
Weight $2$
Character 441.151
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 151.52
Character \(\chi\) \(=\) 441.151
Dual form 441.2.y.a.184.52

$q$-expansion

\(f(q)\) \(=\) \(q+(2.32120 - 1.11783i) q^{2} +(-0.647872 + 1.60632i) q^{3} +(2.89143 - 3.62573i) q^{4} +(-0.476675 - 0.442290i) q^{5} +(0.291752 + 4.45279i) q^{6} +(2.64170 - 0.146332i) q^{7} +(1.51204 - 6.62468i) q^{8} +(-2.16052 - 2.08138i) q^{9} +O(q^{10})\) \(q+(2.32120 - 1.11783i) q^{2} +(-0.647872 + 1.60632i) q^{3} +(2.89143 - 3.62573i) q^{4} +(-0.476675 - 0.442290i) q^{5} +(0.291752 + 4.45279i) q^{6} +(2.64170 - 0.146332i) q^{7} +(1.51204 - 6.62468i) q^{8} +(-2.16052 - 2.08138i) q^{9} +(-1.60086 - 0.493800i) q^{10} +(3.93542 + 2.68312i) q^{11} +(3.95081 + 6.99357i) q^{12} +(-3.23220 - 2.20368i) q^{13} +(5.96833 - 3.29263i) q^{14} +(1.01928 - 0.479145i) q^{15} +(-1.83164 - 8.02494i) q^{16} +(-3.53970 + 0.533524i) q^{17} +(-7.34162 - 2.41619i) q^{18} +(2.69554 + 4.66882i) q^{19} +(-2.98190 + 0.449448i) q^{20} +(-1.47643 + 4.33822i) q^{21} +(12.1341 + 1.82893i) q^{22} +(-0.665542 - 1.69577i) q^{23} +(9.66174 + 6.72076i) q^{24} +(-0.342052 - 4.56436i) q^{25} +(-9.96590 - 1.50212i) q^{26} +(4.74310 - 2.12202i) q^{27} +(7.10773 - 10.0012i) q^{28} +(-4.13932 + 0.623901i) q^{29} +(1.83035 - 2.25157i) q^{30} +2.97936 q^{31} +(-4.74882 - 5.95483i) q^{32} +(-6.85960 + 4.58322i) q^{33} +(-7.61995 + 5.19519i) q^{34} +(-1.32395 - 1.09864i) q^{35} +(-13.7935 + 1.81533i) q^{36} +(-2.55648 + 6.51381i) q^{37} +(11.4758 + 7.82408i) q^{38} +(5.63386 - 3.76425i) q^{39} +(-3.65078 + 2.48906i) q^{40} +(-5.17779 + 1.59714i) q^{41} +(1.42231 + 11.7203i) q^{42} +(-12.0827 - 3.72703i) q^{43} +(21.1073 - 6.51072i) q^{44} +(0.109295 + 1.94772i) q^{45} +(-3.44044 - 3.19226i) q^{46} +(-6.40143 + 3.08277i) q^{47} +(14.0773 + 2.25694i) q^{48} +(6.95717 - 0.773129i) q^{49} +(-5.89614 - 10.2124i) q^{50} +(1.43626 - 6.03155i) q^{51} +(-17.3356 + 5.34733i) q^{52} +(3.33328 + 8.49307i) q^{53} +(8.63761 - 10.2276i) q^{54} +(-0.689197 - 3.01957i) q^{55} +(3.02496 - 17.7217i) q^{56} +(-9.24598 + 1.30511i) q^{57} +(-8.91074 + 6.07524i) q^{58} +(0.866460 + 3.79621i) q^{59} +(1.20993 - 5.08106i) q^{60} +(-4.93850 - 6.19269i) q^{61} +(6.91568 - 3.33042i) q^{62} +(-6.01203 - 5.18223i) q^{63} +(-2.84710 - 1.37109i) q^{64} +(0.566045 + 2.48001i) q^{65} +(-10.7992 + 18.3064i) q^{66} -1.43413 q^{67} +(-8.30037 + 14.3767i) q^{68} +(3.15514 + 0.0295711i) q^{69} +(-4.30125 - 1.07022i) q^{70} +(-5.33059 + 6.68435i) q^{71} +(-17.0553 + 11.1656i) q^{72} +(4.76734 - 3.25032i) q^{73} +(1.34723 + 17.9775i) q^{74} +(7.55343 + 2.40768i) q^{75} +(24.7219 + 3.72622i) q^{76} +(10.7888 + 6.51213i) q^{77} +(8.86951 - 15.0352i) q^{78} +4.33387 q^{79} +(-2.67625 + 4.63540i) q^{80} +(0.335725 + 8.99374i) q^{81} +(-10.2333 + 9.49515i) q^{82} +(-1.81914 + 1.24027i) q^{83} +(11.4602 + 17.8968i) q^{84} +(1.92326 + 1.31126i) q^{85} +(-32.2125 + 4.85526i) q^{86} +(1.67956 - 7.05327i) q^{87} +(23.7253 - 22.0139i) q^{88} +(-0.498638 - 6.65386i) q^{89} +(2.43091 + 4.39886i) q^{90} +(-8.86098 - 5.34848i) q^{91} +(-8.07279 - 2.49012i) q^{92} +(-1.93025 + 4.78581i) q^{93} +(-11.4130 + 14.3114i) q^{94} +(0.780072 - 3.41772i) q^{95} +(12.6420 - 3.77015i) q^{96} +(8.43105 - 14.6030i) q^{97} +(15.2847 - 9.57151i) q^{98} +(-2.91797 - 13.9880i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.32120 1.11783i 1.64133 0.790424i 0.641606 0.767034i \(-0.278268\pi\)
0.999726 0.0233902i \(-0.00744601\pi\)
\(3\) −0.647872 + 1.60632i −0.374049 + 0.927409i
\(4\) 2.89143 3.62573i 1.44571 1.81287i
\(5\) −0.476675 0.442290i −0.213176 0.197798i 0.566356 0.824160i \(-0.308353\pi\)
−0.779532 + 0.626362i \(0.784543\pi\)
\(6\) 0.291752 + 4.45279i 0.119107 + 1.81784i
\(7\) 2.64170 0.146332i 0.998469 0.0553082i
\(8\) 1.51204 6.62468i 0.534587 2.34218i
\(9\) −2.16052 2.08138i −0.720175 0.693793i
\(10\) −1.60086 0.493800i −0.506236 0.156153i
\(11\) 3.93542 + 2.68312i 1.18657 + 0.808992i 0.985348 0.170554i \(-0.0545556\pi\)
0.201224 + 0.979545i \(0.435508\pi\)
\(12\) 3.95081 + 6.99357i 1.14050 + 2.01887i
\(13\) −3.23220 2.20368i −0.896451 0.611190i 0.0249986 0.999687i \(-0.492042\pi\)
−0.921450 + 0.388497i \(0.872994\pi\)
\(14\) 5.96833 3.29263i 1.59510 0.879993i
\(15\) 1.01928 0.479145i 0.263178 0.123715i
\(16\) −1.83164 8.02494i −0.457910 2.00624i
\(17\) −3.53970 + 0.533524i −0.858504 + 0.129399i −0.563519 0.826103i \(-0.690553\pi\)
−0.294985 + 0.955502i \(0.595315\pi\)
\(18\) −7.34162 2.41619i −1.73044 0.569502i
\(19\) 2.69554 + 4.66882i 0.618400 + 1.07110i 0.989778 + 0.142618i \(0.0455522\pi\)
−0.371378 + 0.928482i \(0.621115\pi\)
\(20\) −2.98190 + 0.449448i −0.666772 + 0.100500i
\(21\) −1.47643 + 4.33822i −0.322183 + 0.946677i
\(22\) 12.1341 + 1.82893i 2.58701 + 0.389929i
\(23\) −0.665542 1.69577i −0.138775 0.353593i 0.844543 0.535488i \(-0.179872\pi\)
−0.983318 + 0.181895i \(0.941777\pi\)
\(24\) 9.66174 + 6.72076i 1.97219 + 1.37187i
\(25\) −0.342052 4.56436i −0.0684103 0.912872i
\(26\) −9.96590 1.50212i −1.95447 0.294590i
\(27\) 4.74310 2.12202i 0.912810 0.408384i
\(28\) 7.10773 10.0012i 1.34323 1.89005i
\(29\) −4.13932 + 0.623901i −0.768652 + 0.115856i −0.521650 0.853160i \(-0.674683\pi\)
−0.247001 + 0.969015i \(0.579445\pi\)
\(30\) 1.83035 2.25157i 0.334175 0.411079i
\(31\) 2.97936 0.535109 0.267555 0.963543i \(-0.413784\pi\)
0.267555 + 0.963543i \(0.413784\pi\)
\(32\) −4.74882 5.95483i −0.839481 1.05268i
\(33\) −6.85960 + 4.58322i −1.19410 + 0.797836i
\(34\) −7.61995 + 5.19519i −1.30681 + 0.890968i
\(35\) −1.32395 1.09864i −0.223789 0.185705i
\(36\) −13.7935 + 1.81533i −2.29892 + 0.302555i
\(37\) −2.55648 + 6.51381i −0.420283 + 1.07086i 0.551330 + 0.834287i \(0.314121\pi\)
−0.971613 + 0.236576i \(0.923975\pi\)
\(38\) 11.4758 + 7.82408i 1.86162 + 1.26923i
\(39\) 5.63386 3.76425i 0.902140 0.602762i
\(40\) −3.65078 + 2.48906i −0.577239 + 0.393555i
\(41\) −5.17779 + 1.59714i −0.808635 + 0.249431i −0.671388 0.741106i \(-0.734302\pi\)
−0.137247 + 0.990537i \(0.543825\pi\)
\(42\) 1.42231 + 11.7203i 0.219467 + 1.80847i
\(43\) −12.0827 3.72703i −1.84260 0.568366i −0.999533 0.0305553i \(-0.990272\pi\)
−0.843065 0.537811i \(-0.819251\pi\)
\(44\) 21.1073 6.51072i 3.18204 0.981529i
\(45\) 0.109295 + 1.94772i 0.0162928 + 0.290349i
\(46\) −3.44044 3.19226i −0.507265 0.470673i
\(47\) −6.40143 + 3.08277i −0.933745 + 0.449668i −0.837959 0.545734i \(-0.816251\pi\)
−0.0957866 + 0.995402i \(0.530537\pi\)
\(48\) 14.0773 + 2.25694i 2.03188 + 0.325761i
\(49\) 6.95717 0.773129i 0.993882 0.110447i
\(50\) −5.89614 10.2124i −0.833841 1.44425i
\(51\) 1.43626 6.03155i 0.201117 0.844585i
\(52\) −17.3356 + 5.34733i −2.40402 + 0.741541i
\(53\) 3.33328 + 8.49307i 0.457862 + 1.16661i 0.954382 + 0.298587i \(0.0965155\pi\)
−0.496521 + 0.868025i \(0.665389\pi\)
\(54\) 8.63761 10.2276i 1.17543 1.39180i
\(55\) −0.689197 3.01957i −0.0929314 0.407159i
\(56\) 3.02496 17.7217i 0.404227 2.36816i
\(57\) −9.24598 + 1.30511i −1.22466 + 0.172866i
\(58\) −8.91074 + 6.07524i −1.17004 + 0.797718i
\(59\) 0.866460 + 3.79621i 0.112803 + 0.494224i 0.999492 + 0.0318579i \(0.0101424\pi\)
−0.886689 + 0.462366i \(0.847000\pi\)
\(60\) 1.20993 5.08106i 0.156201 0.655962i
\(61\) −4.93850 6.19269i −0.632311 0.792892i 0.357707 0.933834i \(-0.383559\pi\)
−0.990018 + 0.140941i \(0.954987\pi\)
\(62\) 6.91568 3.33042i 0.878292 0.422963i
\(63\) −6.01203 5.18223i −0.757445 0.652899i
\(64\) −2.84710 1.37109i −0.355888 0.171387i
\(65\) 0.566045 + 2.48001i 0.0702093 + 0.307607i
\(66\) −10.7992 + 18.3064i −1.32929 + 2.25336i
\(67\) −1.43413 −0.175207 −0.0876033 0.996155i \(-0.527921\pi\)
−0.0876033 + 0.996155i \(0.527921\pi\)
\(68\) −8.30037 + 14.3767i −1.00657 + 1.74343i
\(69\) 3.15514 + 0.0295711i 0.379834 + 0.00355995i
\(70\) −4.30125 1.07022i −0.514098 0.127915i
\(71\) −5.33059 + 6.68435i −0.632625 + 0.793287i −0.990059 0.140651i \(-0.955080\pi\)
0.357434 + 0.933938i \(0.383652\pi\)
\(72\) −17.0553 + 11.1656i −2.00998 + 1.31588i
\(73\) 4.76734 3.25032i 0.557975 0.380421i −0.251248 0.967923i \(-0.580841\pi\)
0.809223 + 0.587502i \(0.199888\pi\)
\(74\) 1.34723 + 17.9775i 0.156612 + 2.08985i
\(75\) 7.55343 + 2.40768i 0.872195 + 0.278015i
\(76\) 24.7219 + 3.72622i 2.83579 + 0.427427i
\(77\) 10.7888 + 6.51213i 1.22950 + 0.742126i
\(78\) 8.86951 15.0352i 1.00427 1.70241i
\(79\) 4.33387 0.487599 0.243799 0.969826i \(-0.421606\pi\)
0.243799 + 0.969826i \(0.421606\pi\)
\(80\) −2.67625 + 4.63540i −0.299214 + 0.518254i
\(81\) 0.335725 + 8.99374i 0.0373028 + 0.999304i
\(82\) −10.2333 + 9.49515i −1.13008 + 1.04856i
\(83\) −1.81914 + 1.24027i −0.199676 + 0.136137i −0.659031 0.752116i \(-0.729033\pi\)
0.459354 + 0.888253i \(0.348081\pi\)
\(84\) 11.4602 + 17.8968i 1.25042 + 1.95270i
\(85\) 1.92326 + 1.31126i 0.208607 + 0.142226i
\(86\) −32.2125 + 4.85526i −3.47357 + 0.523556i
\(87\) 1.67956 7.05327i 0.180068 0.756190i
\(88\) 23.7253 22.0139i 2.52913 2.34669i
\(89\) −0.498638 6.65386i −0.0528555 0.705307i −0.959193 0.282753i \(-0.908752\pi\)
0.906337 0.422555i \(-0.138867\pi\)
\(90\) 2.43091 + 4.39886i 0.256241 + 0.463681i
\(91\) −8.86098 5.34848i −0.928883 0.560673i
\(92\) −8.07279 2.49012i −0.841646 0.259613i
\(93\) −1.93025 + 4.78581i −0.200157 + 0.496265i
\(94\) −11.4130 + 14.3114i −1.17716 + 1.47611i
\(95\) 0.780072 3.41772i 0.0800337 0.350651i
\(96\) 12.6420 3.77015i 1.29027 0.384790i
\(97\) 8.43105 14.6030i 0.856043 1.48271i −0.0196309 0.999807i \(-0.506249\pi\)
0.875674 0.482903i \(-0.160418\pi\)
\(98\) 15.2847 9.57151i 1.54399 0.966869i
\(99\) −2.91797 13.9880i −0.293267 1.40585i
\(100\) −17.5382 11.9573i −1.75382 1.19573i
\(101\) 8.92588 2.75327i 0.888159 0.273961i 0.183087 0.983097i \(-0.441391\pi\)
0.705072 + 0.709136i \(0.250915\pi\)
\(102\) −3.40839 15.6059i −0.337481 1.54521i
\(103\) −7.69993 7.14449i −0.758697 0.703968i 0.202667 0.979248i \(-0.435039\pi\)
−0.961364 + 0.275280i \(0.911229\pi\)
\(104\) −19.4859 + 18.0802i −1.91075 + 1.77291i
\(105\) 2.62253 1.41491i 0.255932 0.138081i
\(106\) 17.2310 + 15.9880i 1.67362 + 1.55289i
\(107\) 0.214273 + 2.85928i 0.0207146 + 0.276417i 0.997937 + 0.0641997i \(0.0204495\pi\)
−0.977222 + 0.212217i \(0.931931\pi\)
\(108\) 6.02044 23.3329i 0.579317 2.24521i
\(109\) 0.888813 11.8604i 0.0851329 1.13602i −0.777056 0.629432i \(-0.783288\pi\)
0.862189 0.506588i \(-0.169093\pi\)
\(110\) −4.97512 6.23861i −0.474360 0.594828i
\(111\) −8.80698 8.32664i −0.835922 0.790330i
\(112\) −6.01295 20.9315i −0.568170 1.97784i
\(113\) −0.924664 12.3388i −0.0869851 1.16074i −0.854411 0.519598i \(-0.826082\pi\)
0.767426 0.641138i \(-0.221537\pi\)
\(114\) −20.0028 + 13.3648i −1.87344 + 1.25173i
\(115\) −0.432776 + 1.10269i −0.0403565 + 0.102827i
\(116\) −9.70642 + 16.8120i −0.901219 + 1.56096i
\(117\) 2.39656 + 11.4885i 0.221562 + 1.06212i
\(118\) 6.25473 + 7.84319i 0.575795 + 0.722024i
\(119\) −9.27276 + 1.92738i −0.850033 + 0.176683i
\(120\) −1.63299 7.47691i −0.149071 0.682545i
\(121\) 4.26961 + 10.8788i 0.388146 + 0.988981i
\(122\) −18.3856 8.85403i −1.66455 0.801607i
\(123\) 0.789034 9.35193i 0.0711448 0.843235i
\(124\) 8.61461 10.8024i 0.773615 0.970082i
\(125\) −3.88288 + 4.86898i −0.347295 + 0.435494i
\(126\) −19.7479 5.30854i −1.75929 0.472923i
\(127\) 10.0685 + 12.6255i 0.893433 + 1.12033i 0.992130 + 0.125212i \(0.0399610\pi\)
−0.0986975 + 0.995117i \(0.531468\pi\)
\(128\) 7.09170 0.626824
\(129\) 13.8149 16.9941i 1.21633 1.49625i
\(130\) 4.08612 + 5.12384i 0.358377 + 0.449390i
\(131\) 14.0535 + 4.33492i 1.22786 + 0.378744i 0.839803 0.542892i \(-0.182671\pi\)
0.388056 + 0.921636i \(0.373147\pi\)
\(132\) −3.21649 + 38.1231i −0.279960 + 3.31819i
\(133\) 7.80402 + 11.9392i 0.676694 + 1.03526i
\(134\) −3.32889 + 1.60311i −0.287572 + 0.138488i
\(135\) −3.19947 1.08631i −0.275366 0.0934946i
\(136\) −1.81774 + 24.2561i −0.155870 + 2.07994i
\(137\) 3.05135 2.83124i 0.260694 0.241889i −0.538986 0.842314i \(-0.681193\pi\)
0.799681 + 0.600425i \(0.205002\pi\)
\(138\) 7.35675 3.45826i 0.626248 0.294387i
\(139\) 16.9042 5.21426i 1.43380 0.442267i 0.522012 0.852938i \(-0.325182\pi\)
0.911784 + 0.410671i \(0.134705\pi\)
\(140\) −7.81151 + 1.62365i −0.660193 + 0.137224i
\(141\) −0.804600 12.2800i −0.0677595 1.03416i
\(142\) −4.90139 + 21.4744i −0.411315 + 1.80209i
\(143\) −6.80732 17.3448i −0.569257 1.45044i
\(144\) −12.7456 + 21.1504i −1.06214 + 1.76253i
\(145\) 2.24905 + 1.53338i 0.186774 + 0.127340i
\(146\) 7.43263 12.8737i 0.615129 1.06543i
\(147\) −3.26547 + 11.6763i −0.269331 + 0.963048i
\(148\) 16.2255 + 28.1033i 1.33372 + 2.31008i
\(149\) −0.717825 + 9.57871i −0.0588065 + 0.784719i 0.887368 + 0.461062i \(0.152531\pi\)
−0.946175 + 0.323657i \(0.895088\pi\)
\(150\) 20.2244 2.85475i 1.65131 0.233089i
\(151\) 14.2746 + 2.15156i 1.16165 + 0.175091i 0.701448 0.712721i \(-0.252537\pi\)
0.460206 + 0.887812i \(0.347775\pi\)
\(152\) 35.0052 10.7977i 2.83930 0.875807i
\(153\) 8.75807 + 6.21477i 0.708048 + 0.502434i
\(154\) 32.3224 + 3.05587i 2.60461 + 0.246249i
\(155\) −1.42019 1.31774i −0.114072 0.105844i
\(156\) 2.64174 31.3109i 0.211509 2.50688i
\(157\) −0.302570 1.32565i −0.0241477 0.105798i 0.961418 0.275092i \(-0.0887084\pi\)
−0.985566 + 0.169294i \(0.945851\pi\)
\(158\) 10.0598 4.84453i 0.800312 0.385410i
\(159\) −15.8021 0.148103i −1.25319 0.0117454i
\(160\) −0.370118 + 4.93888i −0.0292604 + 0.390452i
\(161\) −2.00631 4.38234i −0.158119 0.345376i
\(162\) 10.8327 + 20.5009i 0.851100 + 1.61071i
\(163\) 10.3825 9.63358i 0.813223 0.754560i −0.159334 0.987225i \(-0.550935\pi\)
0.972557 + 0.232664i \(0.0747443\pi\)
\(164\) −9.18041 + 23.3913i −0.716869 + 1.82655i
\(165\) 5.29691 + 0.849225i 0.412364 + 0.0661120i
\(166\) −2.83617 + 4.91239i −0.220129 + 0.381275i
\(167\) 2.00723 5.11435i 0.155324 0.395760i −0.831936 0.554871i \(-0.812768\pi\)
0.987261 + 0.159111i \(0.0508628\pi\)
\(168\) 26.5069 + 16.3404i 2.04505 + 1.26069i
\(169\) 0.841495 + 2.14409i 0.0647304 + 0.164930i
\(170\) 5.93002 + 0.893807i 0.454812 + 0.0685518i
\(171\) 3.89379 15.6975i 0.297766 1.20042i
\(172\) −48.4495 + 33.0323i −3.69424 + 2.51869i
\(173\) −12.3148 + 15.4422i −0.936274 + 1.17405i 0.0482563 + 0.998835i \(0.484634\pi\)
−0.984530 + 0.175215i \(0.943938\pi\)
\(174\) −3.98576 18.2495i −0.302159 1.38349i
\(175\) −1.57151 12.0076i −0.118795 0.907691i
\(176\) 14.3236 36.4960i 1.07968 2.75099i
\(177\) −6.65928 1.06765i −0.500542 0.0802492i
\(178\) −8.59531 14.8875i −0.644245 1.11587i
\(179\) −18.2198 + 2.74619i −1.36181 + 0.205260i −0.788982 0.614417i \(-0.789391\pi\)
−0.572827 + 0.819676i \(0.694153\pi\)
\(180\) 7.37793 + 5.23541i 0.549918 + 0.390224i
\(181\) 15.5157 + 7.47195i 1.15327 + 0.555385i 0.910014 0.414577i \(-0.136070\pi\)
0.243255 + 0.969962i \(0.421785\pi\)
\(182\) −26.5467 2.50982i −1.96778 0.186040i
\(183\) 13.1470 3.92074i 0.971851 0.289830i
\(184\) −12.2403 + 1.84492i −0.902365 + 0.136010i
\(185\) 4.09960 1.97426i 0.301409 0.145151i
\(186\) 0.869236 + 13.2665i 0.0637355 + 0.972745i
\(187\) −15.3617 7.39781i −1.12336 0.540981i
\(188\) −7.33198 + 32.1235i −0.534739 + 2.34285i
\(189\) 12.2193 6.29982i 0.888826 0.458244i
\(190\) −2.00973 8.80518i −0.145801 0.638795i
\(191\) −1.45931 + 6.39365i −0.105592 + 0.462629i 0.894293 + 0.447481i \(0.147679\pi\)
−0.999885 + 0.0151473i \(0.995178\pi\)
\(192\) 4.04697 3.68507i 0.292065 0.265947i
\(193\) −0.629363 + 2.75742i −0.0453025 + 0.198483i −0.992515 0.122123i \(-0.961030\pi\)
0.947212 + 0.320607i \(0.103887\pi\)
\(194\) 3.24645 43.3209i 0.233082 3.11026i
\(195\) −4.35041 0.697477i −0.311539 0.0499474i
\(196\) 17.3130 27.4603i 1.23664 1.96145i
\(197\) 22.5704 1.60808 0.804039 0.594577i \(-0.202680\pi\)
0.804039 + 0.594577i \(0.202680\pi\)
\(198\) −22.4094 29.2072i −1.59257 2.07566i
\(199\) 0.178378 + 0.165510i 0.0126449 + 0.0117327i 0.686470 0.727158i \(-0.259159\pi\)
−0.673825 + 0.738891i \(0.735350\pi\)
\(200\) −30.7546 4.63551i −2.17468 0.327780i
\(201\) 0.929132 2.30367i 0.0655359 0.162488i
\(202\) 17.6410 16.3685i 1.24122 1.15168i
\(203\) −10.8435 + 2.25387i −0.761067 + 0.158191i
\(204\) −17.7159 22.6473i −1.24036 1.58563i
\(205\) 3.17452 + 1.52877i 0.221718 + 0.106774i
\(206\) −25.8594 7.97656i −1.80171 0.555753i
\(207\) −2.09163 + 5.04900i −0.145378 + 0.350930i
\(208\) −11.7641 + 29.9746i −0.815697 + 2.07836i
\(209\) −1.91892 + 25.6062i −0.132734 + 1.77122i
\(210\) 4.50577 6.21582i 0.310928 0.428932i
\(211\) −1.42836 19.0601i −0.0983321 1.31215i −0.800153 0.599797i \(-0.795248\pi\)
0.701820 0.712354i \(-0.252371\pi\)
\(212\) 40.4315 + 12.4715i 2.77685 + 0.856545i
\(213\) −7.28366 12.8932i −0.499068 0.883431i
\(214\) 3.69356 + 6.39743i 0.252486 + 0.437319i
\(215\) 4.11111 + 7.12065i 0.280375 + 0.485624i
\(216\) −6.88597 34.6301i −0.468531 2.35628i
\(217\) 7.87059 0.435975i 0.534290 0.0295959i
\(218\) −11.1948 28.5238i −0.758206 1.93188i
\(219\) 2.13242 + 9.76366i 0.144096 + 0.659767i
\(220\) −12.9409 6.23202i −0.872477 0.420163i
\(221\) 12.6167 + 6.07590i 0.848694 + 0.408709i
\(222\) −29.7505 9.48306i −1.99672 0.636461i
\(223\) 2.91589 + 7.42957i 0.195263 + 0.497521i 0.994651 0.103294i \(-0.0329382\pi\)
−0.799388 + 0.600815i \(0.794843\pi\)
\(224\) −13.4164 15.0360i −0.896418 1.00463i
\(225\) −8.76116 + 10.5734i −0.584077 + 0.704890i
\(226\) −15.9390 27.6071i −1.06024 1.83640i
\(227\) −11.1261 19.2709i −0.738462 1.27905i −0.953188 0.302379i \(-0.902219\pi\)
0.214726 0.976674i \(-0.431114\pi\)
\(228\) −22.0021 + 37.2971i −1.45712 + 2.47006i
\(229\) 2.24633 + 0.692900i 0.148442 + 0.0457881i 0.368085 0.929792i \(-0.380013\pi\)
−0.219644 + 0.975580i \(0.570490\pi\)
\(230\) 0.228067 + 3.04334i 0.0150383 + 0.200672i
\(231\) −17.4503 + 13.1113i −1.14815 + 0.862658i
\(232\) −2.12566 + 28.3650i −0.139557 + 1.86225i
\(233\) 1.67994 4.28043i 0.110057 0.280420i −0.865225 0.501383i \(-0.832825\pi\)
0.975282 + 0.220963i \(0.0709200\pi\)
\(234\) 18.4051 + 23.9882i 1.20318 + 1.56816i
\(235\) 4.41488 + 1.36181i 0.287995 + 0.0888347i
\(236\) 16.2693 + 7.83491i 1.05904 + 0.510009i
\(237\) −2.80779 + 6.96158i −0.182386 + 0.452203i
\(238\) −19.3694 + 14.8392i −1.25553 + 0.961882i
\(239\) −14.2590 + 13.2304i −0.922339 + 0.855805i −0.989879 0.141911i \(-0.954675\pi\)
0.0675407 + 0.997717i \(0.478485\pi\)
\(240\) −5.71207 7.30206i −0.368713 0.471346i
\(241\) −28.4157 4.28297i −1.83041 0.275890i −0.858773 0.512356i \(-0.828773\pi\)
−0.971640 + 0.236466i \(0.924011\pi\)
\(242\) 22.0712 + 20.4791i 1.41879 + 1.31645i
\(243\) −14.6643 5.28751i −0.940717 0.339194i
\(244\) −36.7324 −2.35155
\(245\) −3.65826 2.70856i −0.233718 0.173043i
\(246\) −8.62235 22.5896i −0.549741 1.44026i
\(247\) 1.57603 21.0307i 0.100280 1.33815i
\(248\) 4.50491 19.7373i 0.286062 1.25332i
\(249\) −0.813697 3.72565i −0.0515659 0.236104i
\(250\) −3.57024 + 15.6422i −0.225802 + 0.989302i
\(251\) −1.18540 5.19358i −0.0748218 0.327816i 0.923640 0.383261i \(-0.125199\pi\)
−0.998462 + 0.0554457i \(0.982342\pi\)
\(252\) −36.1727 + 6.81399i −2.27867 + 0.429241i
\(253\) 1.93078 8.45930i 0.121387 0.531832i
\(254\) 37.4840 + 18.0513i 2.35196 + 1.13264i
\(255\) −3.35232 + 2.23984i −0.209931 + 0.140264i
\(256\) 22.1554 10.6695i 1.38471 0.666844i
\(257\) −7.55656 + 1.13897i −0.471365 + 0.0710468i −0.380429 0.924810i \(-0.624224\pi\)
−0.0909355 + 0.995857i \(0.528986\pi\)
\(258\) 13.0705 54.8892i 0.813734 3.41725i
\(259\) −5.80028 + 17.5816i −0.360412 + 1.09247i
\(260\) 10.6285 + 5.11843i 0.659153 + 0.317431i
\(261\) 10.2417 + 7.26753i 0.633943 + 0.449849i
\(262\) 37.4666 5.64718i 2.31469 0.348884i
\(263\) −9.83115 17.0281i −0.606215 1.04999i −0.991858 0.127347i \(-0.959354\pi\)
0.385643 0.922648i \(-0.373979\pi\)
\(264\) 19.9904 + 52.3726i 1.23032 + 3.22331i
\(265\) 2.16750 5.52271i 0.133149 0.339257i
\(266\) 31.4606 + 18.9896i 1.92897 + 1.16433i
\(267\) 11.0113 + 3.50988i 0.673879 + 0.214801i
\(268\) −4.14668 + 5.19977i −0.253299 + 0.317626i
\(269\) −17.3694 + 11.8422i −1.05903 + 0.722033i −0.961945 0.273243i \(-0.911904\pi\)
−0.0970833 + 0.995276i \(0.530951\pi\)
\(270\) −8.64090 + 1.05492i −0.525868 + 0.0642004i
\(271\) 2.02737 + 0.305577i 0.123154 + 0.0185625i 0.210330 0.977630i \(-0.432546\pi\)
−0.0871760 + 0.996193i \(0.527784\pi\)
\(272\) 10.7650 + 27.4287i 0.652722 + 1.66311i
\(273\) 14.3322 10.7684i 0.867421 0.651735i
\(274\) 3.91794 9.98274i 0.236691 0.603079i
\(275\) 10.9006 18.8804i 0.657332 1.13853i
\(276\) 9.23007 11.3542i 0.555585 0.683442i
\(277\) −3.11278 + 7.93124i −0.187029 + 0.476542i −0.993377 0.114899i \(-0.963346\pi\)
0.806348 + 0.591441i \(0.201441\pi\)
\(278\) 33.4093 30.9993i 2.00376 1.85921i
\(279\) −6.43698 6.20118i −0.385372 0.371255i
\(280\) −9.28004 + 7.10958i −0.554588 + 0.424878i
\(281\) 0.197859 2.64024i 0.0118033 0.157504i −0.988188 0.153248i \(-0.951027\pi\)
0.999991 0.00425509i \(-0.00135444\pi\)
\(282\) −15.5946 27.6048i −0.928642 1.64384i
\(283\) −4.09547 + 1.97227i −0.243450 + 0.117239i −0.551631 0.834088i \(-0.685994\pi\)
0.308180 + 0.951328i \(0.400280\pi\)
\(284\) 8.82267 + 38.6546i 0.523529 + 2.29373i
\(285\) 4.98456 + 3.46729i 0.295260 + 0.205385i
\(286\) −35.1896 32.6512i −2.08081 1.93071i
\(287\) −13.4445 + 4.97683i −0.793602 + 0.293773i
\(288\) −2.13432 + 22.7497i −0.125766 + 1.34054i
\(289\) −3.99990 + 1.23381i −0.235288 + 0.0725768i
\(290\) 6.93455 + 1.04521i 0.407211 + 0.0613771i
\(291\) 17.9948 + 23.0038i 1.05488 + 1.34851i
\(292\) 1.99963 26.6832i 0.117019 1.56151i
\(293\) −0.732578 1.26886i −0.0427977 0.0741278i 0.843833 0.536606i \(-0.180294\pi\)
−0.886631 + 0.462478i \(0.846960\pi\)
\(294\) 5.47235 + 30.7533i 0.319154 + 1.79357i
\(295\) 1.26600 2.19278i 0.0737096 0.127669i
\(296\) 39.2864 + 26.7850i 2.28347 + 1.55685i
\(297\) 24.3597 + 4.37527i 1.41349 + 0.253879i
\(298\) 9.04115 + 23.0365i 0.523740 + 1.33447i
\(299\) −1.58577 + 6.94772i −0.0917075 + 0.401797i
\(300\) 30.5698 20.4251i 1.76495 1.17924i
\(301\) −32.4643 8.07761i −1.87121 0.465586i
\(302\) 35.5393 10.9624i 2.04506 0.630817i
\(303\) −1.36020 + 16.1216i −0.0781414 + 0.926161i
\(304\) 32.5297 30.1832i 1.86571 1.73112i
\(305\) −0.384901 + 5.13615i −0.0220394 + 0.294095i
\(306\) 27.2762 + 4.63566i 1.55928 + 0.265003i
\(307\) 11.0840 5.33776i 0.632596 0.304642i −0.0899697 0.995945i \(-0.528677\pi\)
0.722566 + 0.691302i \(0.242963\pi\)
\(308\) 54.8063 20.2881i 3.12288 1.15602i
\(309\) 16.4649 7.73983i 0.936656 0.440304i
\(310\) −4.76954 1.47121i −0.270892 0.0835590i
\(311\) 7.96698 + 9.99028i 0.451766 + 0.566497i 0.954602 0.297885i \(-0.0962813\pi\)
−0.502836 + 0.864382i \(0.667710\pi\)
\(312\) −16.4183 43.0142i −0.929503 2.43520i
\(313\) −29.0460 −1.64178 −0.820888 0.571090i \(-0.806521\pi\)
−0.820888 + 0.571090i \(0.806521\pi\)
\(314\) −2.18417 2.73886i −0.123260 0.154563i
\(315\) 0.573738 + 5.12930i 0.0323265 + 0.289003i
\(316\) 12.5311 15.7135i 0.704928 0.883951i
\(317\) 5.43854 6.81971i 0.305459 0.383033i −0.605282 0.796011i \(-0.706940\pi\)
0.910741 + 0.412978i \(0.135511\pi\)
\(318\) −36.8454 + 17.3203i −2.06618 + 0.971273i
\(319\) −17.9639 8.65097i −1.00579 0.484362i
\(320\) 0.750723 + 1.91281i 0.0419667 + 0.106929i
\(321\) −4.73174 1.50826i −0.264100 0.0841827i
\(322\) −9.55573 7.92955i −0.532520 0.441896i
\(323\) −12.0323 15.0881i −0.669498 0.839523i
\(324\) 33.5796 + 24.7875i 1.86553 + 1.37708i
\(325\) −8.95280 + 15.5067i −0.496612 + 0.860157i
\(326\) 13.3312 33.9673i 0.738346 1.88128i
\(327\) 18.4757 + 9.11173i 1.02171 + 0.503880i
\(328\) 2.75149 + 36.7161i 0.151926 + 2.02731i
\(329\) −16.4596 + 9.08049i −0.907446 + 0.500623i
\(330\) 13.2444 3.94982i 0.729083 0.217430i
\(331\) 6.03054 + 7.56206i 0.331468 + 0.415648i 0.919438 0.393235i \(-0.128644\pi\)
−0.587970 + 0.808883i \(0.700073\pi\)
\(332\) −0.763024 + 10.1819i −0.0418764 + 0.558802i
\(333\) 19.0810 8.75223i 1.04563 0.479619i
\(334\) −1.05778 14.1151i −0.0578793 0.772346i
\(335\) 0.683613 + 0.634300i 0.0373498 + 0.0346555i
\(336\) 37.5183 + 3.90220i 2.04679 + 0.212882i
\(337\) −7.07363 + 6.56337i −0.385325 + 0.357529i −0.848923 0.528516i \(-0.822749\pi\)
0.463598 + 0.886046i \(0.346558\pi\)
\(338\) 4.35000 + 4.03621i 0.236609 + 0.219541i
\(339\) 20.4191 + 6.50865i 1.10901 + 0.353501i
\(340\) 10.3152 3.18183i 0.559422 0.172559i
\(341\) 11.7250 + 7.99399i 0.634946 + 0.432899i
\(342\) −8.50890 40.7896i −0.460109 2.20565i
\(343\) 18.2656 3.06043i 0.986252 0.165248i
\(344\) −42.9599 + 74.4088i −2.31624 + 4.01185i
\(345\) −1.49090 1.40958i −0.0802672 0.0758893i
\(346\) −11.3232 + 49.6102i −0.608739 + 2.66706i
\(347\) 18.9085 23.7105i 1.01506 1.27285i 0.0534089 0.998573i \(-0.482991\pi\)
0.961652 0.274273i \(-0.0884372\pi\)
\(348\) −20.7170 26.4837i −1.11055 1.41967i
\(349\) 6.95277 + 2.14464i 0.372173 + 0.114800i 0.475199 0.879879i \(-0.342376\pi\)
−0.103026 + 0.994679i \(0.532852\pi\)
\(350\) −17.0703 26.1154i −0.912443 1.39593i
\(351\) −20.0069 3.59346i −1.06789 0.191805i
\(352\) −2.71105 36.1764i −0.144499 1.92821i
\(353\) 5.15665 4.78467i 0.274461 0.254662i −0.530918 0.847423i \(-0.678153\pi\)
0.805378 + 0.592761i \(0.201962\pi\)
\(354\) −16.6509 + 4.96572i −0.884987 + 0.263925i
\(355\) 5.49738 0.828597i 0.291771 0.0439774i
\(356\) −25.5669 17.4312i −1.35504 0.923852i
\(357\) 2.91157 16.1437i 0.154097 0.854416i
\(358\) −39.2219 + 26.7410i −2.07294 + 1.41331i
\(359\) −3.51217 + 3.25882i −0.185365 + 0.171994i −0.767397 0.641172i \(-0.778448\pi\)
0.582032 + 0.813166i \(0.302258\pi\)
\(360\) 13.0683 + 2.22098i 0.688758 + 0.117056i
\(361\) −5.03191 + 8.71552i −0.264837 + 0.458711i
\(362\) 44.3672 2.33189
\(363\) −20.2410 0.189706i −1.06238 0.00995698i
\(364\) −45.0130 + 16.6628i −2.35932 + 0.873368i
\(365\) −3.71006 0.559201i −0.194193 0.0292699i
\(366\) 26.1339 23.7969i 1.36604 1.24388i
\(367\) 2.04480 + 27.2860i 0.106738 + 1.42432i 0.751398 + 0.659849i \(0.229380\pi\)
−0.644661 + 0.764469i \(0.723001\pi\)
\(368\) −12.3894 + 8.44698i −0.645844 + 0.440329i
\(369\) 14.5110 + 7.32629i 0.755412 + 0.381392i
\(370\) 7.30909 9.16530i 0.379981 0.476481i
\(371\) 10.0483 + 21.9484i 0.521684 + 1.13950i
\(372\) 11.7709 + 20.8364i 0.610293 + 1.08032i
\(373\) −1.24136 + 2.15009i −0.0642751 + 0.111328i −0.896372 0.443302i \(-0.853807\pi\)
0.832097 + 0.554630i \(0.187140\pi\)
\(374\) −43.9270 −2.27141
\(375\) −5.30552 9.39162i −0.273976 0.484981i
\(376\) 10.7431 + 47.0687i 0.554034 + 2.42738i
\(377\) 14.7540 + 7.10514i 0.759868 + 0.365933i
\(378\) 21.3214 28.2822i 1.09665 1.45468i
\(379\) −24.3562 + 11.7293i −1.25109 + 0.602494i −0.937804 0.347164i \(-0.887145\pi\)
−0.313288 + 0.949658i \(0.601430\pi\)
\(380\) −10.1362 12.7104i −0.519977 0.652031i
\(381\) −26.8036 + 7.99350i −1.37319 + 0.409519i
\(382\) 3.75967 + 16.4722i 0.192361 + 0.842790i
\(383\) 24.2761 16.5511i 1.24045 0.845723i 0.248045 0.968749i \(-0.420212\pi\)
0.992404 + 0.123025i \(0.0392596\pi\)
\(384\) −4.59452 + 11.3915i −0.234463 + 0.581322i
\(385\) −2.26251 7.87595i −0.115308 0.401396i
\(386\) 1.62145 + 7.10403i 0.0825295 + 0.361585i
\(387\) 18.3477 + 33.2011i 0.932664 + 1.68770i
\(388\) −28.5688 72.7922i −1.45036 3.69547i
\(389\) 7.08953 2.18683i 0.359453 0.110877i −0.109768 0.993957i \(-0.535011\pi\)
0.469221 + 0.883081i \(0.344535\pi\)
\(390\) −10.8778 + 3.24403i −0.550819 + 0.164268i
\(391\) 3.26055 + 5.64745i 0.164893 + 0.285604i
\(392\) 5.39779 47.2580i 0.272630 2.38689i
\(393\) −16.0681 + 19.7659i −0.810530 + 0.997058i
\(394\) 52.3904 25.2299i 2.63939 1.27106i
\(395\) −2.06585 1.91683i −0.103944 0.0964460i
\(396\) −59.1540 29.8656i −2.97260 1.50080i
\(397\) 19.9840 6.16424i 1.00297 0.309374i 0.250580 0.968096i \(-0.419379\pi\)
0.752387 + 0.658721i \(0.228902\pi\)
\(398\) 0.599061 + 0.184786i 0.0300282 + 0.00926248i
\(399\) −24.2341 + 4.80068i −1.21322 + 0.240335i
\(400\) −36.0022 + 11.1052i −1.80011 + 0.555261i
\(401\) −30.6063 + 20.8670i −1.52841 + 1.04205i −0.550048 + 0.835133i \(0.685391\pi\)
−0.978359 + 0.206917i \(0.933657\pi\)
\(402\) −0.418410 6.38587i −0.0208684 0.318498i
\(403\) −9.62990 6.56555i −0.479699 0.327053i
\(404\) 15.8259 40.3238i 0.787368 2.00618i
\(405\) 3.81781 4.43558i 0.189708 0.220406i
\(406\) −22.6505 + 17.3529i −1.12413 + 0.861210i
\(407\) −27.5382 + 18.7752i −1.36502 + 0.930652i
\(408\) −37.7854 18.6347i −1.87065 0.922556i
\(409\) −7.19653 9.02417i −0.355846 0.446216i 0.571399 0.820672i \(-0.306401\pi\)
−0.927245 + 0.374456i \(0.877829\pi\)
\(410\) 9.07758 0.448310
\(411\) 2.57099 + 6.73572i 0.126818 + 0.332249i
\(412\) −48.1678 + 7.26013i −2.37306 + 0.357681i
\(413\) 2.84443 + 9.90166i 0.139965 + 0.487229i
\(414\) 0.788845 + 14.0578i 0.0387696 + 0.690903i
\(415\) 1.41569 + 0.213382i 0.0694937 + 0.0104745i
\(416\) 2.22661 + 29.7121i 0.109169 + 1.45676i
\(417\) −2.57600 + 30.5317i −0.126147 + 1.49514i
\(418\) 24.1692 + 61.5820i 1.18215 + 3.01208i
\(419\) 30.6643 + 4.62190i 1.49805 + 0.225795i 0.846328 0.532662i \(-0.178808\pi\)
0.651723 + 0.758457i \(0.274047\pi\)
\(420\) 2.45275 13.5997i 0.119682 0.663597i
\(421\) 21.6693 3.26612i 1.05610 0.159181i 0.402037 0.915623i \(-0.368302\pi\)
0.654061 + 0.756442i \(0.273064\pi\)
\(422\) −24.6214 42.6455i −1.19855 2.07595i
\(423\) 20.2469 + 6.66342i 0.984436 + 0.323986i
\(424\) 61.3039 9.24008i 2.97718 0.448738i
\(425\) 3.64596 + 15.9740i 0.176855 + 0.774852i
\(426\) −31.3192 21.7858i −1.51742 1.05553i
\(427\) −13.9522 15.6366i −0.675196 0.756707i
\(428\) 10.9865 + 7.49050i 0.531055 + 0.362067i
\(429\) 32.2715 + 0.302461i 1.55808 + 0.0146029i
\(430\) 17.5023 + 11.9329i 0.844038 + 0.575455i
\(431\) 17.2643 + 5.32533i 0.831593 + 0.256512i 0.681185 0.732112i \(-0.261465\pi\)
0.150408 + 0.988624i \(0.451941\pi\)
\(432\) −25.7168 34.1763i −1.23730 1.64431i
\(433\) 2.18934 9.59211i 0.105213 0.460968i −0.894685 0.446697i \(-0.852600\pi\)
0.999898 0.0142706i \(-0.00454263\pi\)
\(434\) 17.7818 9.80995i 0.853555 0.470893i
\(435\) −3.92019 + 2.61926i −0.187959 + 0.125584i
\(436\) −40.4327 37.5160i −1.93637 1.79669i
\(437\) 6.12326 7.67832i 0.292915 0.367304i
\(438\) 15.8639 + 20.2797i 0.758005 + 0.969001i
\(439\) −15.1148 + 7.27890i −0.721390 + 0.347403i −0.758291 0.651916i \(-0.773965\pi\)
0.0369016 + 0.999319i \(0.488251\pi\)
\(440\) −21.0458 −1.00332
\(441\) −16.6403 12.8102i −0.792396 0.610007i
\(442\) 36.0777 1.71604
\(443\) −12.4325 + 5.98717i −0.590685 + 0.284459i −0.705252 0.708957i \(-0.749166\pi\)
0.114567 + 0.993415i \(0.463452\pi\)
\(444\) −55.6549 + 7.85591i −2.64127 + 0.372825i
\(445\) −2.70524 + 3.39227i −0.128241 + 0.160809i
\(446\) 15.0733 + 13.9860i 0.713744 + 0.662257i
\(447\) −14.9214 7.35884i −0.705759 0.348061i
\(448\) −7.72184 3.20540i −0.364822 0.151441i
\(449\) −3.12342 + 13.6846i −0.147403 + 0.645815i 0.846198 + 0.532869i \(0.178886\pi\)
−0.993601 + 0.112946i \(0.963971\pi\)
\(450\) −8.51716 + 34.3363i −0.401503 + 1.61863i
\(451\) −24.6621 7.60724i −1.16129 0.358211i
\(452\) −47.4108 32.3241i −2.23001 1.52040i
\(453\) −12.7042 + 21.5357i −0.596897 + 1.01184i
\(454\) −47.3673 32.2945i −2.22306 1.51565i
\(455\) 1.85823 + 6.46861i 0.0871150 + 0.303253i
\(456\) −5.33438 + 63.2250i −0.249805 + 2.96078i
\(457\) 2.63602 + 11.5492i 0.123308 + 0.540248i 0.998413 + 0.0563147i \(0.0179350\pi\)
−0.875105 + 0.483933i \(0.839208\pi\)
\(458\) 5.98871 0.902653i 0.279834 0.0421782i
\(459\) −15.6570 + 10.0419i −0.730807 + 0.468715i
\(460\) 2.74674 + 4.75749i 0.128067 + 0.221819i
\(461\) 33.5059 5.05020i 1.56052 0.235211i 0.688706 0.725041i \(-0.258179\pi\)
0.871818 + 0.489830i \(0.162941\pi\)
\(462\) −25.8495 + 49.9403i −1.20263 + 2.32343i
\(463\) −14.9329 2.25078i −0.693993 0.104603i −0.207432 0.978249i \(-0.566511\pi\)
−0.486561 + 0.873647i \(0.661749\pi\)
\(464\) 12.5885 + 32.0750i 0.584407 + 1.48904i
\(465\) 3.03681 1.42755i 0.140829 0.0662009i
\(466\) −0.885307 11.8136i −0.0410111 0.547255i
\(467\) −7.50996 1.13194i −0.347519 0.0523801i −0.0270366 0.999634i \(-0.508607\pi\)
−0.320483 + 0.947254i \(0.603845\pi\)
\(468\) 48.5838 + 24.5290i 2.24579 + 1.13385i
\(469\) −3.78854 + 0.209858i −0.174939 + 0.00969036i
\(470\) 11.7701 1.77405i 0.542913 0.0818309i
\(471\) 2.32544 + 0.372825i 0.107151 + 0.0171789i
\(472\) 26.4588 1.21786
\(473\) −37.5505 47.0868i −1.72657 2.16505i
\(474\) 1.26442 + 19.2978i 0.0580766 + 0.886378i
\(475\) 20.3882 13.9004i 0.935473 0.637795i
\(476\) −19.8233 + 39.1935i −0.908601 + 1.79643i
\(477\) 10.4757 25.2873i 0.479647 1.15783i
\(478\) −18.3086 + 46.6495i −0.837416 + 2.13370i
\(479\) −22.4088 15.2781i −1.02388 0.698073i −0.0697848 0.997562i \(-0.522231\pi\)
−0.954100 + 0.299490i \(0.903184\pi\)
\(480\) −7.69362 3.79429i −0.351164 0.173185i
\(481\) 22.6174 15.4203i 1.03126 0.703104i
\(482\) −70.7459 + 21.8222i −3.22239 + 0.993975i
\(483\) 8.33926 0.383579i 0.379450 0.0174534i
\(484\) 51.7889 + 15.9747i 2.35404 + 0.726125i
\(485\) −10.4776 + 3.23192i −0.475765 + 0.146754i
\(486\) −39.9493 + 4.11886i −1.81214 + 0.186835i
\(487\) −21.1320 19.6077i −0.957584 0.888508i 0.0362551 0.999343i \(-0.488457\pi\)
−0.993839 + 0.110835i \(0.964648\pi\)
\(488\) −48.4918 + 23.3524i −2.19512 + 1.05711i
\(489\) 8.74806 + 22.9190i 0.395601 + 1.03643i
\(490\) −11.5192 2.19778i −0.520386 0.0992856i
\(491\) −11.7900 20.4210i −0.532077 0.921585i −0.999299 0.0374446i \(-0.988078\pi\)
0.467221 0.884140i \(-0.345255\pi\)
\(492\) −31.6262 29.9012i −1.42582 1.34805i
\(493\) 14.3191 4.41685i 0.644899 0.198925i
\(494\) −19.8504 50.5780i −0.893112 2.27561i
\(495\) −4.79584 + 7.95834i −0.215557 + 0.357701i
\(496\) −5.45712 23.9092i −0.245032 1.07356i
\(497\) −13.1037 + 18.4381i −0.587782 + 0.827062i
\(498\) −6.05339 7.73839i −0.271259 0.346766i
\(499\) 26.4030 18.0012i 1.18196 0.805846i 0.197302 0.980343i \(-0.436782\pi\)
0.984658 + 0.174497i \(0.0558298\pi\)
\(500\) 6.42655 + 28.1566i 0.287404 + 1.25920i
\(501\) 6.91484 + 6.53770i 0.308932 + 0.292083i
\(502\) −8.55708 10.7302i −0.381921 0.478914i
\(503\) 25.1960 12.1338i 1.12344 0.541018i 0.222484 0.974936i \(-0.428584\pi\)
0.900952 + 0.433918i \(0.142869\pi\)
\(504\) −43.4210 + 31.9920i −1.93413 + 1.42504i
\(505\) −5.47249 2.63541i −0.243523 0.117274i
\(506\) −4.97433 21.7940i −0.221136 0.968860i
\(507\) −3.98928 0.0373890i −0.177170 0.00166051i
\(508\) 74.8888 3.32265
\(509\) −10.7370 + 18.5971i −0.475911 + 0.824302i −0.999619 0.0275956i \(-0.991215\pi\)
0.523708 + 0.851898i \(0.324548\pi\)
\(510\) −5.27763 + 8.94643i −0.233697 + 0.396155i
\(511\) 12.1183 9.28398i 0.536081 0.410699i
\(512\) 30.6572 38.4429i 1.35487 1.69895i
\(513\) 22.6926 + 16.4247i 1.00190 + 0.725167i
\(514\) −16.2671 + 11.0907i −0.717510 + 0.489190i
\(515\) 0.510429 + 6.81120i 0.0224922 + 0.300137i
\(516\) −21.6714 99.2261i −0.954029 4.36819i
\(517\) −33.4638 5.04385i −1.47173 0.221828i
\(518\) 6.18966 + 47.2941i 0.271958 + 2.07798i
\(519\) −16.8267 29.7860i −0.738612 1.30746i
\(520\) 17.2851 0.758003
\(521\) 7.69446 13.3272i 0.337100 0.583875i −0.646786 0.762672i \(-0.723887\pi\)
0.983886 + 0.178797i \(0.0572205\pi\)
\(522\) 31.8968 + 5.42093i 1.39608 + 0.237268i
\(523\) −28.0248 + 26.0032i −1.22544 + 1.13704i −0.239329 + 0.970938i \(0.576928\pi\)
−0.986109 + 0.166102i \(0.946882\pi\)
\(524\) 56.3519 38.4201i 2.46174 1.67839i
\(525\) 20.3062 + 5.25506i 0.886236 + 0.229350i
\(526\) −41.8545 28.5359i −1.82494 1.24422i
\(527\) −10.5461 + 1.58956i −0.459393 + 0.0692424i
\(528\) 49.3444 + 46.6531i 2.14744 + 2.03031i
\(529\) 14.4275 13.3868i 0.627282 0.582033i
\(530\) −1.14224 15.2422i −0.0496159 0.662078i
\(531\) 6.02934 10.0052i 0.261651 0.434190i
\(532\) 65.8530 + 6.22597i 2.85509 + 0.269930i
\(533\) 20.2552 + 6.24791i 0.877352 + 0.270627i
\(534\) 29.4828 4.16161i 1.27584 0.180090i
\(535\) 1.16249 1.45772i 0.0502589 0.0630227i
\(536\) −2.16846 + 9.50064i −0.0936632 + 0.410365i
\(537\) 7.39282 31.0459i 0.319024 1.33973i
\(538\) −27.0801 + 46.9041i −1.16751 + 2.02218i
\(539\) 29.4538 + 15.6244i 1.26866 + 0.672989i
\(540\) −13.1897 + 8.45943i −0.567594 + 0.364036i
\(541\) −5.55963 3.79049i −0.239027 0.162966i 0.437882 0.899032i \(-0.355729\pi\)
−0.676909 + 0.736066i \(0.736681\pi\)
\(542\) 5.04750 1.55695i 0.216809 0.0668767i
\(543\) −22.0545 + 20.0822i −0.946449 + 0.861811i
\(544\) 19.9865 + 18.5447i 0.856912 + 0.795098i
\(545\) −5.66940 + 5.26044i −0.242851 + 0.225332i
\(546\) 21.2305 41.0165i 0.908580 1.75534i
\(547\) 16.5958 + 15.3986i 0.709585 + 0.658399i 0.949992 0.312273i \(-0.101090\pi\)
−0.240407 + 0.970672i \(0.577281\pi\)
\(548\) −1.44257 19.2497i −0.0616233 0.822306i
\(549\) −2.21957 + 23.6583i −0.0947291 + 1.00971i
\(550\) 4.19738 56.0102i 0.178977 2.38828i
\(551\) −14.0706 17.6440i −0.599427 0.751658i
\(552\) 4.96659 20.8571i 0.211392 0.887736i
\(553\) 11.4488 0.634183i 0.486852 0.0269682i
\(554\) 1.64039 + 21.8895i 0.0696936 + 0.929996i
\(555\) 0.515281 + 7.86434i 0.0218725 + 0.333823i
\(556\) 29.9717 76.3668i 1.27109 3.23867i
\(557\) −8.63112 + 14.9495i −0.365712 + 0.633432i −0.988890 0.148648i \(-0.952508\pi\)
0.623178 + 0.782080i \(0.285841\pi\)
\(558\) −21.8734 7.19871i −0.925973 0.304746i
\(559\) 30.8406 + 38.6729i 1.30442 + 1.63569i
\(560\) −6.39155 + 12.6370i −0.270092 + 0.534010i
\(561\) 21.8357 19.8830i 0.921902 0.839460i
\(562\) −2.49207 6.34969i −0.105122 0.267845i
\(563\) 12.6053 + 6.07037i 0.531248 + 0.255836i 0.680223 0.733005i \(-0.261883\pi\)
−0.148975 + 0.988841i \(0.547597\pi\)
\(564\) −46.8504 32.5894i −1.97276 1.37226i
\(565\) −5.01655 + 6.29056i −0.211048 + 0.264646i
\(566\) −7.30171 + 9.15606i −0.306914 + 0.384858i
\(567\) 2.20295 + 23.7096i 0.0925153 + 0.995711i
\(568\) 36.2216 + 45.4205i 1.51983 + 1.90580i
\(569\) −11.0471 −0.463117 −0.231559 0.972821i \(-0.574383\pi\)
−0.231559 + 0.972821i \(0.574383\pi\)
\(570\) 15.4460 + 2.47637i 0.646961 + 0.103724i
\(571\) 22.6027 + 28.3428i 0.945892 + 1.18611i 0.982402 + 0.186777i \(0.0598043\pi\)
−0.0365105 + 0.999333i \(0.511624\pi\)
\(572\) −82.5704 25.4696i −3.45244 1.06494i
\(573\) −9.32480 6.48639i −0.389549 0.270973i
\(574\) −25.6440 + 26.5808i −1.07036 + 1.10946i
\(575\) −7.51247 + 3.61782i −0.313292 + 0.150873i
\(576\) 3.29747 + 8.88818i 0.137395 + 0.370341i
\(577\) 2.58502 34.4947i 0.107616 1.43603i −0.638194 0.769875i \(-0.720318\pi\)
0.745810 0.666158i \(-0.232063\pi\)
\(578\) −7.90537 + 7.33511i −0.328820 + 0.305100i
\(579\) −4.02155 2.79741i −0.167130 0.116256i
\(580\) 12.0626 3.72082i 0.500872 0.154499i
\(581\) −4.62413 + 3.54261i −0.191841 + 0.146972i
\(582\) 67.4839 + 33.2812i 2.79730 + 1.37955i
\(583\) −9.67007 + 42.3674i −0.400493 + 1.75468i
\(584\) −14.3239 36.4967i −0.592727 1.51025i
\(585\) 3.93888 6.53627i 0.162853 0.270241i
\(586\) −3.11883 2.12638i −0.128838 0.0878400i
\(587\) 2.27623 3.94254i 0.0939499 0.162726i −0.815220 0.579152i \(-0.803384\pi\)
0.909170 + 0.416425i \(0.136717\pi\)
\(588\) 32.8934 + 45.6010i 1.35650 + 1.88055i
\(589\) 8.03100 + 13.9101i 0.330912 + 0.573156i
\(590\) 0.487487 6.50506i 0.0200695 0.267809i
\(591\) −14.6228 + 36.2553i −0.601500 + 1.49135i
\(592\) 56.9555 + 8.58466i 2.34086 + 0.352827i
\(593\) 12.3480 3.80885i 0.507071 0.156411i −0.0306555 0.999530i \(-0.509759\pi\)
0.537727 + 0.843119i \(0.319283\pi\)
\(594\) 61.4345 17.0741i 2.52069 0.700561i
\(595\) 5.27255 + 3.18251i 0.216154 + 0.130470i
\(596\) 32.6543 + 30.2988i 1.33757 + 1.24109i
\(597\) −0.381428 + 0.179302i −0.0156108 + 0.00733834i
\(598\) 4.08547 + 17.8996i 0.167067 + 0.731970i
\(599\) 4.48047 2.15768i 0.183067 0.0881604i −0.340105 0.940387i \(-0.610463\pi\)
0.523172 + 0.852227i \(0.324748\pi\)
\(600\) 27.3712 46.3985i 1.11742 1.89421i
\(601\) −2.79314 + 37.2718i −0.113934 + 1.52035i 0.588440 + 0.808541i \(0.299742\pi\)
−0.702374 + 0.711808i \(0.747877\pi\)
\(602\) −84.3854 + 17.5399i −3.43929 + 0.714871i
\(603\) 3.09847 + 2.98496i 0.126179 + 0.121557i
\(604\) 49.0751 45.5350i 1.99684 1.85279i
\(605\) 2.77636 7.07405i 0.112875 0.287601i
\(606\) 14.8639 + 38.9418i 0.603804 + 1.58190i
\(607\) −8.82147 + 15.2792i −0.358053 + 0.620165i −0.987635 0.156768i \(-0.949892\pi\)
0.629583 + 0.776933i \(0.283226\pi\)
\(608\) 15.0014 38.2229i 0.608386 1.55014i
\(609\) 3.40478 18.8784i 0.137969 0.764992i
\(610\) 4.84790 + 12.3523i 0.196286 + 0.500128i
\(611\) 27.4841 + 4.14257i 1.11189 + 0.167590i
\(612\) 47.8564 13.7849i 1.93448 0.557222i
\(613\) −2.33985 + 1.59528i −0.0945057 + 0.0644329i −0.609651 0.792670i \(-0.708690\pi\)
0.515145 + 0.857103i \(0.327738\pi\)
\(614\) 19.7614 24.7800i 0.797504 1.00004i
\(615\) −4.51237 + 4.10885i −0.181956 + 0.165685i
\(616\) 59.4539 61.6259i 2.39547 2.48298i
\(617\) −3.70535 + 9.44108i −0.149172 + 0.380084i −0.985854 0.167605i \(-0.946397\pi\)
0.836682 + 0.547688i \(0.184492\pi\)
\(618\) 29.5665 36.3706i 1.18934 1.46304i
\(619\) 14.0749 + 24.3784i 0.565716 + 0.979849i 0.996983 + 0.0776244i \(0.0247335\pi\)
−0.431267 + 0.902225i \(0.641933\pi\)
\(620\) −8.88415 + 1.33907i −0.356796 + 0.0537783i
\(621\) −6.75520 6.63093i −0.271077 0.266090i
\(622\) 29.6603 + 14.2837i 1.18927 + 0.572723i
\(623\) −2.29092 17.5045i −0.0917838 0.701304i
\(624\) −40.5271 38.3167i −1.62238 1.53389i
\(625\) −18.6258 + 2.80739i −0.745033 + 0.112296i
\(626\) −67.4214 + 32.4684i −2.69470 + 1.29770i
\(627\) −39.8885 19.6719i −1.59299 0.785622i
\(628\) −5.68130 2.73597i −0.226709 0.109177i
\(629\) 5.57391 24.4209i 0.222246 0.973724i
\(630\) 7.06543 + 11.2648i 0.281494 + 0.448799i
\(631\) 6.60324 + 28.9307i 0.262871 + 1.15171i 0.918121 + 0.396300i \(0.129706\pi\)
−0.655250 + 0.755412i \(0.727437\pi\)
\(632\) 6.55299 28.7105i 0.260664 1.14204i
\(633\) 31.5420 + 10.0541i 1.25368 + 0.399615i
\(634\) 5.00064 21.9092i 0.198601 0.870127i
\(635\) 0.784725 10.4714i 0.0311409 0.415546i
\(636\) −46.2276 + 56.8660i −1.83305 + 2.25489i
\(637\) −24.1907 12.8325i −0.958471 0.508440i
\(638\) −51.3681 −2.03368
\(639\) 25.4295 3.34672i 1.00598 0.132394i
\(640\) −3.38044 3.13659i −0.133624 0.123985i
\(641\) 14.6614 + 2.20985i 0.579091 + 0.0872839i 0.432055 0.901847i \(-0.357789\pi\)
0.147036 + 0.989131i \(0.453027\pi\)
\(642\) −12.6693 + 1.78832i −0.500016 + 0.0705792i
\(643\) −24.9023 + 23.1059i −0.982049 + 0.911209i −0.996059 0.0886931i \(-0.971731\pi\)
0.0140095 + 0.999902i \(0.495540\pi\)
\(644\) −21.6903 5.39686i −0.854717 0.212666i
\(645\) −14.1015 + 1.99048i −0.555246 + 0.0783752i
\(646\) −44.7953 21.5723i −1.76245 0.848750i
\(647\) 5.89441 + 1.81818i 0.231733 + 0.0714802i 0.408447 0.912782i \(-0.366071\pi\)
−0.176714 + 0.984262i \(0.556547\pi\)
\(648\) 60.0882 + 11.3748i 2.36049 + 0.446845i
\(649\) −6.77581 + 17.2645i −0.265974 + 0.677690i
\(650\) −3.44736 + 46.0018i −0.135216 + 1.80434i
\(651\) −4.39882 + 12.9251i −0.172403 + 0.506576i
\(652\) −4.90848 65.4991i −0.192231 2.56514i
\(653\) −11.3163 3.49061i −0.442840 0.136598i 0.0653132 0.997865i \(-0.479195\pi\)
−0.508153 + 0.861267i \(0.669672\pi\)
\(654\) 53.0711 + 0.497403i 2.07525 + 0.0194500i
\(655\) −4.78165 8.28206i −0.186835 0.323607i
\(656\) 22.3008 + 38.6261i 0.870699 + 1.50810i
\(657\) −17.0651 2.90025i −0.665773 0.113150i
\(658\) −28.0555 + 39.4766i −1.09372 + 1.53896i
\(659\) −18.0437 45.9747i −0.702884 1.79092i −0.605760 0.795648i \(-0.707131\pi\)
−0.0971244 0.995272i \(-0.530964\pi\)
\(660\) 18.3947 16.7497i 0.716012 0.651981i
\(661\) −9.24296 4.45118i −0.359510 0.173131i 0.245406 0.969420i \(-0.421079\pi\)
−0.604915 + 0.796290i \(0.706793\pi\)
\(662\) 22.4511 + 10.8119i 0.872589 + 0.420217i
\(663\) −17.9339 + 16.3301i −0.696494 + 0.634209i
\(664\) 5.46576 + 13.9265i 0.212113 + 0.540454i
\(665\) 1.56060 9.14274i 0.0605174 0.354540i
\(666\) 34.5073 41.6450i 1.33713 1.61371i
\(667\) 3.81288 + 6.60411i 0.147635 + 0.255712i
\(668\) −12.7395 22.0654i −0.492906 0.853738i
\(669\) −13.8234 0.129558i −0.534443 0.00500900i
\(670\) 2.29584 + 0.708172i 0.0886960 + 0.0273591i
\(671\) −2.81933 37.6214i −0.108839 1.45236i
\(672\) 32.8447 11.8095i 1.26701 0.455563i
\(673\) 1.12036 14.9502i 0.0431868 0.576287i −0.933073 0.359686i \(-0.882884\pi\)
0.976260 0.216601i \(-0.0694972\pi\)
\(674\) −9.08255 + 23.1420i −0.349847 + 0.891395i
\(675\) −11.3081 20.9234i −0.435248 0.805342i
\(676\) 10.2070 + 3.14845i 0.392578 + 0.121094i
\(677\) −19.8827 9.57499i −0.764153 0.367997i 0.0108608 0.999941i \(-0.496543\pi\)
−0.775014 + 0.631944i \(0.782257\pi\)
\(678\) 54.6723 7.71721i 2.09968 0.296378i
\(679\) 20.1354 39.8105i 0.772727 1.52779i
\(680\) 11.5947 10.7583i 0.444636 0.412562i
\(681\) 38.1635 5.38692i 1.46243 0.206427i
\(682\) 36.1520 + 5.44904i 1.38433 + 0.208654i
\(683\) −12.8637 11.9357i −0.492214 0.456708i 0.394588 0.918858i \(-0.370887\pi\)
−0.886801 + 0.462151i \(0.847078\pi\)
\(684\) −45.6565 59.5061i −1.74572 2.27527i
\(685\) −2.70673 −0.103419
\(686\) 38.9771 27.5217i 1.48815 1.05078i
\(687\) −2.56835 + 3.15941i −0.0979888 + 0.120539i
\(688\) −7.77797 + 103.790i −0.296532 + 3.95695i
\(689\) 7.94214 34.7968i 0.302571 1.32565i
\(690\) −5.03633 1.60535i −0.191730 0.0611145i
\(691\) 3.87250 16.9665i 0.147317 0.645437i −0.846307 0.532695i \(-0.821179\pi\)
0.993624 0.112742i \(-0.0359635\pi\)
\(692\) 20.3822 + 89.3001i 0.774814 + 3.39468i
\(693\) −9.75529 36.5252i −0.370573 1.38748i
\(694\) 17.3860 76.1731i 0.659964 2.89149i
\(695\) −10.3640 4.99105i −0.393130 0.189321i
\(696\) −44.1861 21.7914i −1.67487 0.826000i
\(697\) 17.4757 8.41586i 0.661940 0.318774i
\(698\) 18.5361 2.79386i 0.701601 0.105749i
\(699\) 5.78735 + 5.47170i 0.218898 + 0.206959i
\(700\) −48.0804 29.0213i −1.81727 1.09690i
\(701\) 33.9658 + 16.3571i 1.28287 + 0.617798i 0.946126 0.323798i \(-0.104960\pi\)
0.336744 + 0.941596i \(0.390674\pi\)
\(702\) −50.4568 + 14.0232i −1.90437 + 0.529271i
\(703\) −37.3029 + 5.62251i −1.40691 + 0.212057i
\(704\) −7.52573 13.0350i −0.283637 0.491273i
\(705\) −5.04778 + 6.20943i −0.190110 + 0.233861i
\(706\) 6.62115 16.8704i 0.249190 0.634926i
\(707\) 23.1766 8.57946i 0.871647 0.322664i
\(708\) −23.1258 + 21.0578i −0.869121 + 0.791399i
\(709\) −17.6040 + 22.0747i −0.661132 + 0.829033i −0.993466 0.114129i \(-0.963592\pi\)
0.332334 + 0.943162i \(0.392164\pi\)
\(710\) 11.8343 8.06847i 0.444132 0.302804i
\(711\) −9.36343 9.02043i −0.351156 0.338292i
\(712\) −44.8336 6.75758i −1.68021 0.253251i
\(713\) −1.98289 5.05232i −0.0742598 0.189211i
\(714\) −11.2876 40.7274i −0.422427 1.52418i
\(715\) −4.42654 + 11.2786i −0.165543 + 0.421797i
\(716\) −42.7242 + 74.0004i −1.59668 + 2.76552i
\(717\) −12.0143 31.4761i −0.448681 1.17550i
\(718\) −4.50963 + 11.4904i −0.168298 + 0.428816i
\(719\) −7.41770 + 6.88262i −0.276634 + 0.256679i −0.806272 0.591545i \(-0.798518\pi\)
0.529638 + 0.848224i \(0.322328\pi\)
\(720\) 15.4301 4.44461i 0.575047 0.165641i
\(721\) −21.3864 17.7469i −0.796471 0.660928i
\(722\) −1.93758 + 25.8552i −0.0721093 + 0.962232i
\(723\) 25.2895 42.8698i 0.940528 1.59434i
\(724\) 71.9537 34.6511i 2.67414 1.28780i
\(725\) 4.26357 + 18.6799i 0.158345 + 0.693755i
\(726\) −47.1953 + 22.1856i −1.75158 + 0.823385i
\(727\) −29.8012 27.6514i −1.10526 1.02554i −0.999515 0.0311426i \(-0.990085\pi\)
−0.105749 0.994393i \(-0.533724\pi\)
\(728\) −48.8301 + 50.6140i −1.80977 + 1.87588i
\(729\) 17.9940 20.1300i 0.666446 0.745554i
\(730\) −9.23685 + 2.84919i −0.341871 + 0.105453i
\(731\) 44.7577 + 6.74614i 1.65542 + 0.249515i
\(732\) 23.7979 59.0039i 0.879594 2.18085i
\(733\) −0.365408 + 4.87603i −0.0134966 + 0.180100i 0.986381 + 0.164475i \(0.0525930\pi\)
−0.999878 + 0.0156253i \(0.995026\pi\)
\(734\) 35.2475 + 61.0504i 1.30101 + 2.25341i
\(735\) 6.72089 4.12153i 0.247904 0.152025i
\(736\) −6.93751 + 12.0161i −0.255720 + 0.442920i
\(737\) −5.64389 3.84794i −0.207895 0.141741i
\(738\) 41.8724 + 0.784956i 1.54134 + 0.0288946i
\(739\) 5.62893 + 14.3423i 0.207063 + 0.527589i 0.996246 0.0865698i \(-0.0275906\pi\)
−0.789182 + 0.614159i \(0.789495\pi\)
\(740\) 4.69554 20.5725i 0.172611 0.756260i
\(741\) 32.7609 + 16.1568i 1.20350 + 0.593534i
\(742\) 47.8587 + 39.7142i 1.75695 + 1.45795i
\(743\) −20.1510 + 6.21575i −0.739267 + 0.228034i −0.641444 0.767170i \(-0.721664\pi\)
−0.0978235 + 0.995204i \(0.531188\pi\)
\(744\) 28.7858 + 20.0236i 1.05534 + 0.734100i
\(745\) 4.57874 4.24845i 0.167752 0.155651i
\(746\) −0.477996 + 6.37841i −0.0175007 + 0.233530i
\(747\) 6.51176 + 1.10669i 0.238253 + 0.0404916i
\(748\) −71.2397 + 34.3072i −2.60478 + 1.25440i
\(749\) 0.984450 + 7.52201i 0.0359710 + 0.274848i
\(750\) −22.8134 15.8691i −0.833026 0.579458i
\(751\) 19.9950 + 6.16765i 0.729630 + 0.225061i 0.637244 0.770662i \(-0.280074\pi\)
0.0923859 + 0.995723i \(0.470551\pi\)
\(752\) 36.4642 + 45.7246i 1.32971 + 1.66740i
\(753\) 9.11053 + 1.46064i 0.332006 + 0.0532288i
\(754\) 42.1892 1.53644
\(755\) −5.85275 7.33912i −0.213004 0.267098i
\(756\) 12.4899 62.5195i 0.454252 2.27381i
\(757\) −4.29547 + 5.38635i −0.156122 + 0.195770i −0.853740 0.520699i \(-0.825671\pi\)
0.697619 + 0.716469i \(0.254243\pi\)
\(758\) −43.4240 + 54.4520i −1.57723 + 1.97779i
\(759\) 12.3374 + 8.58199i 0.447821 + 0.311507i
\(760\) −21.4618 10.3355i −0.778501 0.374906i
\(761\) 13.3536 + 34.0243i 0.484067 + 1.23338i 0.939327 + 0.343023i \(0.111451\pi\)
−0.455260 + 0.890358i \(0.650454\pi\)
\(762\) −53.2811 + 48.5163i −1.93017 + 1.75756i
\(763\) 0.612429 31.4617i 0.0221714 1.13899i
\(764\) 18.9622 + 23.7778i 0.686028 + 0.860252i
\(765\) −1.42603 6.83603i −0.0515581 0.247157i
\(766\) 37.8481 65.5549i 1.36751 2.36859i
\(767\) 5.56505 14.1795i 0.200942 0.511992i
\(768\) 2.78473 + 42.5012i 0.100485 + 1.53363i
\(769\) −2.71222 36.1921i −0.0978052 1.30512i −0.802945 0.596052i \(-0.796735\pi\)
0.705140 0.709068i \(-0.250884\pi\)
\(770\) −14.0557 15.7525i −0.506532 0.567682i
\(771\) 3.06614 12.8761i 0.110424 0.463723i