Properties

Label 637.2.bl.a.235.7
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.7
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.a.534.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.64912 - 0.248565i) q^{2} +(0.245042 - 0.167067i) q^{3} +(0.746668 + 0.230317i) q^{4} +(0.200654 + 2.67754i) q^{5} +(-0.445631 + 0.214605i) q^{6} +(2.62546 + 0.327044i) q^{7} +(1.83108 + 0.881802i) q^{8} +(-1.06389 + 2.71074i) q^{9} +O(q^{10})\) \(q+(-1.64912 - 0.248565i) q^{2} +(0.245042 - 0.167067i) q^{3} +(0.746668 + 0.230317i) q^{4} +(0.200654 + 2.67754i) q^{5} +(-0.445631 + 0.214605i) q^{6} +(2.62546 + 0.327044i) q^{7} +(1.83108 + 0.881802i) q^{8} +(-1.06389 + 2.71074i) q^{9} +(0.334640 - 4.46546i) q^{10} +(0.884677 + 2.25412i) q^{11} +(0.221444 - 0.0683063i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-4.24841 - 1.19193i) q^{14} +(0.496497 + 0.622587i) q^{15} +(-4.09170 - 2.78968i) q^{16} +(-1.10025 - 1.02088i) q^{17} +(2.42828 - 4.20590i) q^{18} +(-1.62635 - 2.81692i) q^{19} +(-0.466859 + 2.04544i) q^{20} +(0.697987 - 0.358488i) q^{21} +(-0.898644 - 3.93722i) q^{22} +(-3.39278 + 3.14804i) q^{23} +(0.596013 - 0.0898344i) q^{24} +(-2.18479 + 0.329304i) q^{25} +(1.22255 - 1.13436i) q^{26} +(0.390161 + 1.70941i) q^{27} +(1.88502 + 0.848880i) q^{28} +(-0.0150067 + 0.0657485i) q^{29} +(-0.664030 - 1.15013i) q^{30} +(1.87054 - 3.23987i) q^{31} +(3.07467 + 2.85287i) q^{32} +(0.593373 + 0.404555i) q^{33} +(1.56068 + 1.95703i) q^{34} +(-0.348864 + 7.09539i) q^{35} +(-1.41870 + 1.77899i) q^{36} +(-10.3592 + 3.19538i) q^{37} +(1.98186 + 5.04970i) q^{38} +(-0.0221631 + 0.295746i) q^{39} +(-1.99364 + 5.07972i) q^{40} +(-1.25712 - 0.605399i) q^{41} +(-1.24017 + 0.417695i) q^{42} +(-3.12343 + 1.50417i) q^{43} +(0.141399 + 1.88684i) q^{44} +(-7.47159 - 2.30468i) q^{45} +(6.37759 - 4.34817i) q^{46} +(10.0620 + 1.51660i) q^{47} -1.46870 q^{48} +(6.78608 + 1.71728i) q^{49} +3.68483 q^{50} +(-0.440162 - 0.0663437i) q^{51} +(-0.645608 + 0.440168i) q^{52} +(1.67777 + 0.517523i) q^{53} +(-0.218524 - 2.91600i) q^{54} +(-5.85798 + 2.82105i) q^{55} +(4.51904 + 2.91398i) q^{56} +(-0.869139 - 0.418556i) q^{57} +(0.0410906 - 0.104697i) q^{58} +(-0.534977 + 7.13877i) q^{59} +(0.227326 + 0.579217i) q^{60} +(-3.00034 + 0.925482i) q^{61} +(-3.89006 + 4.87798i) q^{62} +(-3.67973 + 6.76901i) q^{63} +(1.81393 + 2.27459i) q^{64} +(-2.21849 - 1.51254i) q^{65} +(-0.877985 - 0.814651i) q^{66} +(0.497968 - 0.862506i) q^{67} +(-0.586393 - 1.01566i) q^{68} +(-0.305441 + 1.33822i) q^{69} +(2.33898 - 11.6144i) q^{70} +(0.0794855 + 0.348249i) q^{71} +(-4.33841 + 4.02545i) q^{72} +(3.93063 - 0.592447i) q^{73} +(17.8778 - 2.69464i) q^{74} +(-0.480350 + 0.445700i) q^{75} +(-0.565560 - 2.47788i) q^{76} +(1.58549 + 6.20743i) q^{77} +(0.110062 - 0.482213i) q^{78} +(3.62186 + 6.27324i) q^{79} +(6.64845 - 11.5155i) q^{80} +(-6.02284 - 5.58838i) q^{81} +(1.92267 + 1.31085i) q^{82} +(-2.69260 - 3.37641i) q^{83} +(0.603730 - 0.106914i) q^{84} +(2.51267 - 3.15079i) q^{85} +(5.52480 - 1.70417i) q^{86} +(0.00730714 + 0.0186183i) q^{87} +(-0.367773 + 4.90759i) q^{88} +(-5.05565 + 12.8816i) q^{89} +(11.7487 + 5.65787i) q^{90} +(-1.89264 + 1.84876i) q^{91} +(-3.25832 + 1.56913i) q^{92} +(-0.0829140 - 1.10641i) q^{93} +(-16.2165 - 5.00211i) q^{94} +(7.21608 - 4.91984i) q^{95} +(1.23004 + 0.185399i) q^{96} -9.44111 q^{97} +(-10.7642 - 4.51879i) q^{98} -7.05154 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.64912 0.248565i −1.16610 0.175762i −0.462675 0.886528i \(-0.653110\pi\)
−0.703429 + 0.710766i \(0.748349\pi\)
\(3\) 0.245042 0.167067i 0.141475 0.0964562i −0.490514 0.871433i \(-0.663191\pi\)
0.631989 + 0.774977i \(0.282239\pi\)
\(4\) 0.746668 + 0.230317i 0.373334 + 0.115158i
\(5\) 0.200654 + 2.67754i 0.0897350 + 1.19743i 0.842335 + 0.538954i \(0.181180\pi\)
−0.752600 + 0.658477i \(0.771201\pi\)
\(6\) −0.445631 + 0.214605i −0.181928 + 0.0876120i
\(7\) 2.62546 + 0.327044i 0.992331 + 0.123611i
\(8\) 1.83108 + 0.881802i 0.647385 + 0.311764i
\(9\) −1.06389 + 2.71074i −0.354630 + 0.903581i
\(10\) 0.334640 4.46546i 0.105822 1.41210i
\(11\) 0.884677 + 2.25412i 0.266740 + 0.679643i 1.00000 0.000305690i \(-9.73042e-5\pi\)
−0.733260 + 0.679949i \(0.762002\pi\)
\(12\) 0.221444 0.0683063i 0.0639252 0.0197183i
\(13\) −0.623490 + 0.781831i −0.172925 + 0.216841i
\(14\) −4.24841 1.19193i −1.13543 0.318557i
\(15\) 0.496497 + 0.622587i 0.128195 + 0.160751i
\(16\) −4.09170 2.78968i −1.02293 0.697419i
\(17\) −1.10025 1.02088i −0.266849 0.247599i 0.535387 0.844607i \(-0.320166\pi\)
−0.802236 + 0.597007i \(0.796356\pi\)
\(18\) 2.42828 4.20590i 0.572350 0.991340i
\(19\) −1.62635 2.81692i −0.373110 0.646246i 0.616932 0.787017i \(-0.288375\pi\)
−0.990042 + 0.140770i \(0.955042\pi\)
\(20\) −0.466859 + 2.04544i −0.104393 + 0.457375i
\(21\) 0.697987 0.358488i 0.152313 0.0782286i
\(22\) −0.898644 3.93722i −0.191592 0.839417i
\(23\) −3.39278 + 3.14804i −0.707443 + 0.656411i −0.949470 0.313858i \(-0.898378\pi\)
0.242027 + 0.970270i \(0.422188\pi\)
\(24\) 0.596013 0.0898344i 0.121661 0.0183374i
\(25\) −2.18479 + 0.329304i −0.436958 + 0.0658608i
\(26\) 1.22255 1.13436i 0.239761 0.222466i
\(27\) 0.390161 + 1.70941i 0.0750866 + 0.328976i
\(28\) 1.88502 + 0.848880i 0.356236 + 0.160423i
\(29\) −0.0150067 + 0.0657485i −0.00278667 + 0.0122092i −0.976302 0.216412i \(-0.930565\pi\)
0.973515 + 0.228621i \(0.0734217\pi\)
\(30\) −0.664030 1.15013i −0.121235 0.209985i
\(31\) 1.87054 3.23987i 0.335959 0.581898i −0.647710 0.761887i \(-0.724273\pi\)
0.983669 + 0.179990i \(0.0576064\pi\)
\(32\) 3.07467 + 2.85287i 0.543529 + 0.504322i
\(33\) 0.593373 + 0.404555i 0.103293 + 0.0704239i
\(34\) 1.56068 + 1.95703i 0.267655 + 0.335629i
\(35\) −0.348864 + 7.09539i −0.0589687 + 1.19934i
\(36\) −1.41870 + 1.77899i −0.236450 + 0.296499i
\(37\) −10.3592 + 3.19538i −1.70304 + 0.525317i −0.985276 0.170973i \(-0.945309\pi\)
−0.717760 + 0.696290i \(0.754833\pi\)
\(38\) 1.98186 + 5.04970i 0.321500 + 0.819169i
\(39\) −0.0221631 + 0.295746i −0.00354894 + 0.0473573i
\(40\) −1.99364 + 5.07972i −0.315223 + 0.803175i
\(41\) −1.25712 0.605399i −0.196330 0.0945474i 0.333136 0.942879i \(-0.391893\pi\)
−0.529466 + 0.848331i \(0.677608\pi\)
\(42\) −1.24017 + 0.417695i −0.191363 + 0.0644518i
\(43\) −3.12343 + 1.50417i −0.476319 + 0.229383i −0.656610 0.754230i \(-0.728010\pi\)
0.180291 + 0.983613i \(0.442296\pi\)
\(44\) 0.141399 + 1.88684i 0.0213167 + 0.284451i
\(45\) −7.47159 2.30468i −1.11380 0.343562i
\(46\) 6.37759 4.34817i 0.940325 0.641103i
\(47\) 10.0620 + 1.51660i 1.46769 + 0.221219i 0.833741 0.552155i \(-0.186194\pi\)
0.633950 + 0.773374i \(0.281432\pi\)
\(48\) −1.46870 −0.211989
\(49\) 6.78608 + 1.71728i 0.969441 + 0.245326i
\(50\) 3.68483 0.521114
\(51\) −0.440162 0.0663437i −0.0616350 0.00928998i
\(52\) −0.645608 + 0.440168i −0.0895298 + 0.0610404i
\(53\) 1.67777 + 0.517523i 0.230459 + 0.0710872i 0.407834 0.913056i \(-0.366284\pi\)
−0.177375 + 0.984143i \(0.556760\pi\)
\(54\) −0.218524 2.91600i −0.0297373 0.396817i
\(55\) −5.85798 + 2.82105i −0.789890 + 0.380391i
\(56\) 4.51904 + 2.91398i 0.603883 + 0.389397i
\(57\) −0.869139 0.418556i −0.115120 0.0554390i
\(58\) 0.0410906 0.104697i 0.00539546 0.0137474i
\(59\) −0.534977 + 7.13877i −0.0696481 + 0.929389i 0.847488 + 0.530815i \(0.178114\pi\)
−0.917136 + 0.398574i \(0.869505\pi\)
\(60\) 0.227326 + 0.579217i 0.0293477 + 0.0747766i
\(61\) −3.00034 + 0.925482i −0.384154 + 0.118496i −0.480816 0.876821i \(-0.659660\pi\)
0.0966621 + 0.995317i \(0.469183\pi\)
\(62\) −3.89006 + 4.87798i −0.494038 + 0.619504i
\(63\) −3.67973 + 6.76901i −0.463602 + 0.852816i
\(64\) 1.81393 + 2.27459i 0.226741 + 0.284324i
\(65\) −2.21849 1.51254i −0.275170 0.187607i
\(66\) −0.877985 0.814651i −0.108072 0.100277i
\(67\) 0.497968 0.862506i 0.0608365 0.105372i −0.834003 0.551760i \(-0.813957\pi\)
0.894840 + 0.446388i \(0.147290\pi\)
\(68\) −0.586393 1.01566i −0.0711106 0.123167i
\(69\) −0.305441 + 1.33822i −0.0367708 + 0.161103i
\(70\) 2.33898 11.6144i 0.279562 1.38819i
\(71\) 0.0794855 + 0.348249i 0.00943320 + 0.0413295i 0.979425 0.201806i \(-0.0646811\pi\)
−0.969992 + 0.243136i \(0.921824\pi\)
\(72\) −4.33841 + 4.02545i −0.511286 + 0.474404i
\(73\) 3.93063 0.592447i 0.460045 0.0693406i 0.0850688 0.996375i \(-0.472889\pi\)
0.374976 + 0.927034i \(0.377651\pi\)
\(74\) 17.8778 2.69464i 2.07825 0.313245i
\(75\) −0.480350 + 0.445700i −0.0554660 + 0.0514650i
\(76\) −0.565560 2.47788i −0.0648742 0.284232i
\(77\) 1.58549 + 6.20743i 0.180683 + 0.707403i
\(78\) 0.110062 0.482213i 0.0124621 0.0545998i
\(79\) 3.62186 + 6.27324i 0.407491 + 0.705795i 0.994608 0.103707i \(-0.0330706\pi\)
−0.587117 + 0.809502i \(0.699737\pi\)
\(80\) 6.64845 11.5155i 0.743319 1.28747i
\(81\) −6.02284 5.58838i −0.669205 0.620931i
\(82\) 1.92267 + 1.31085i 0.212323 + 0.144759i
\(83\) −2.69260 3.37641i −0.295551 0.370610i 0.611779 0.791029i \(-0.290454\pi\)
−0.907330 + 0.420420i \(0.861883\pi\)
\(84\) 0.603730 0.106914i 0.0658724 0.0116652i
\(85\) 2.51267 3.15079i 0.272538 0.341751i
\(86\) 5.52480 1.70417i 0.595754 0.183766i
\(87\) 0.00730714 + 0.0186183i 0.000783408 + 0.00199609i
\(88\) −0.367773 + 4.90759i −0.0392047 + 0.523151i
\(89\) −5.05565 + 12.8816i −0.535897 + 1.36544i 0.364836 + 0.931072i \(0.381125\pi\)
−0.900733 + 0.434372i \(0.856970\pi\)
\(90\) 11.7487 + 5.65787i 1.23842 + 0.596392i
\(91\) −1.89264 + 1.84876i −0.198403 + 0.193803i
\(92\) −3.25832 + 1.56913i −0.339704 + 0.163593i
\(93\) −0.0829140 1.10641i −0.00859778 0.114729i
\(94\) −16.2165 5.00211i −1.67260 0.515929i
\(95\) 7.21608 4.91984i 0.740354 0.504765i
\(96\) 1.23004 + 0.185399i 0.125541 + 0.0189223i
\(97\) −9.44111 −0.958600 −0.479300 0.877651i \(-0.659109\pi\)
−0.479300 + 0.877651i \(0.659109\pi\)
\(98\) −10.7642 4.51879i −1.08735 0.456466i
\(99\) −7.05154 −0.708707
\(100\) −1.70716 0.257312i −0.170716 0.0257312i
\(101\) −0.836329 + 0.570199i −0.0832178 + 0.0567370i −0.604214 0.796822i \(-0.706513\pi\)
0.520996 + 0.853559i \(0.325560\pi\)
\(102\) 0.709389 + 0.218818i 0.0702400 + 0.0216662i
\(103\) 1.32369 + 17.6635i 0.130427 + 1.74043i 0.552182 + 0.833723i \(0.313795\pi\)
−0.421755 + 0.906710i \(0.638586\pi\)
\(104\) −1.83108 + 0.881802i −0.179552 + 0.0864678i
\(105\) 1.09992 + 1.79695i 0.107341 + 0.175365i
\(106\) −2.63820 1.27049i −0.256245 0.123401i
\(107\) 3.34063 8.51179i 0.322951 0.822866i −0.673539 0.739152i \(-0.735227\pi\)
0.996490 0.0837139i \(-0.0266782\pi\)
\(108\) −0.102384 + 1.36622i −0.00985191 + 0.131465i
\(109\) −5.98048 15.2380i −0.572826 1.45954i −0.864309 0.502962i \(-0.832244\pi\)
0.291482 0.956576i \(-0.405852\pi\)
\(110\) 10.3617 3.19617i 0.987952 0.304743i
\(111\) −2.00459 + 2.51368i −0.190267 + 0.238588i
\(112\) −9.83026 8.66235i −0.928872 0.818516i
\(113\) 6.69432 + 8.39442i 0.629749 + 0.789680i 0.989679 0.143299i \(-0.0457710\pi\)
−0.359930 + 0.932979i \(0.617200\pi\)
\(114\) 1.32928 + 0.906286i 0.124498 + 0.0848815i
\(115\) −9.10976 8.45263i −0.849490 0.788211i
\(116\) −0.0263480 + 0.0456360i −0.00244635 + 0.00423720i
\(117\) −1.45602 2.52190i −0.134609 0.233150i
\(118\) 2.65669 11.6397i 0.244568 1.07152i
\(119\) −2.55478 3.04011i −0.234196 0.278686i
\(120\) 0.360127 + 1.57782i 0.0328750 + 0.144035i
\(121\) 3.76516 3.49356i 0.342288 0.317597i
\(122\) 5.17796 0.780452i 0.468791 0.0706588i
\(123\) −0.409191 + 0.0616756i −0.0368955 + 0.00556110i
\(124\) 2.14287 1.98829i 0.192435 0.178554i
\(125\) 1.66728 + 7.30485i 0.149126 + 0.653366i
\(126\) 7.75086 10.2483i 0.690501 0.912988i
\(127\) 1.52181 6.66747i 0.135039 0.591642i −0.861445 0.507851i \(-0.830440\pi\)
0.996483 0.0837913i \(-0.0267029\pi\)
\(128\) −6.62034 11.4668i −0.585161 1.01353i
\(129\) −0.514077 + 0.890407i −0.0452619 + 0.0783960i
\(130\) 3.28259 + 3.04580i 0.287902 + 0.267134i
\(131\) 16.1063 + 10.9811i 1.40722 + 0.959424i 0.998915 + 0.0465774i \(0.0148314\pi\)
0.408302 + 0.912847i \(0.366121\pi\)
\(132\) 0.349877 + 0.438731i 0.0304529 + 0.0381867i
\(133\) −3.34866 7.92760i −0.290366 0.687410i
\(134\) −1.03560 + 1.29860i −0.0894620 + 0.112182i
\(135\) −4.49872 + 1.38767i −0.387188 + 0.119432i
\(136\) −1.11443 2.83951i −0.0955612 0.243486i
\(137\) 0.937455 12.5095i 0.0800922 1.06876i −0.801889 0.597472i \(-0.796172\pi\)
0.881982 0.471284i \(-0.156209\pi\)
\(138\) 0.836345 2.13097i 0.0711944 0.181400i
\(139\) 3.43490 + 1.65416i 0.291344 + 0.140304i 0.573847 0.818963i \(-0.305450\pi\)
−0.282503 + 0.959266i \(0.591165\pi\)
\(140\) −1.89467 + 5.21755i −0.160129 + 0.440963i
\(141\) 2.71899 1.30940i 0.228980 0.110271i
\(142\) −0.0445188 0.594062i −0.00373593 0.0498526i
\(143\) −2.31393 0.713753i −0.193501 0.0596870i
\(144\) 11.9152 8.12366i 0.992935 0.676972i
\(145\) −0.179055 0.0269882i −0.0148697 0.00224125i
\(146\) −6.62934 −0.548648
\(147\) 1.94978 0.712925i 0.160815 0.0588010i
\(148\) −8.47080 −0.696296
\(149\) 7.71403 + 1.16270i 0.631958 + 0.0952523i 0.457207 0.889360i \(-0.348850\pi\)
0.174751 + 0.984613i \(0.444088\pi\)
\(150\) 0.902940 0.615614i 0.0737248 0.0502647i
\(151\) −2.65856 0.820057i −0.216351 0.0667353i 0.184685 0.982798i \(-0.440873\pi\)
−0.401036 + 0.916062i \(0.631350\pi\)
\(152\) −0.494012 6.59213i −0.0400697 0.534692i
\(153\) 3.93788 1.89638i 0.318359 0.153313i
\(154\) −1.07171 10.6309i −0.0863610 0.856662i
\(155\) 9.05020 + 4.35835i 0.726929 + 0.350071i
\(156\) −0.0846638 + 0.215720i −0.00677853 + 0.0172714i
\(157\) 0.610226 8.14290i 0.0487013 0.649874i −0.918428 0.395588i \(-0.870541\pi\)
0.967129 0.254285i \(-0.0818403\pi\)
\(158\) −4.41357 11.2456i −0.351125 0.894651i
\(159\) 0.497585 0.153485i 0.0394611 0.0121721i
\(160\) −7.02173 + 8.80497i −0.555117 + 0.696094i
\(161\) −9.93715 + 7.15546i −0.783157 + 0.563930i
\(162\) 8.54332 + 10.7130i 0.671226 + 0.841691i
\(163\) −12.7686 8.70552i −1.00012 0.681869i −0.0516245 0.998667i \(-0.516440\pi\)
−0.948493 + 0.316798i \(0.897392\pi\)
\(164\) −0.799221 0.741568i −0.0624086 0.0579068i
\(165\) −0.964148 + 1.66995i −0.0750588 + 0.130006i
\(166\) 3.60116 + 6.23740i 0.279504 + 0.484116i
\(167\) 5.28081 23.1367i 0.408641 1.79038i −0.181844 0.983327i \(-0.558207\pi\)
0.590486 0.807048i \(-0.298936\pi\)
\(168\) 1.59419 0.0409345i 0.122994 0.00315817i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −4.92688 + 4.57147i −0.377874 + 0.350616i
\(171\) 9.36621 1.41173i 0.716252 0.107958i
\(172\) −2.67860 + 0.403734i −0.204241 + 0.0307844i
\(173\) 5.13888 4.76819i 0.390702 0.362518i −0.460225 0.887802i \(-0.652231\pi\)
0.850927 + 0.525284i \(0.176041\pi\)
\(174\) −0.00742250 0.0325201i −0.000562698 0.00246534i
\(175\) −5.84377 + 0.150053i −0.441748 + 0.0113429i
\(176\) 2.66843 11.6912i 0.201141 0.881254i
\(177\) 1.06156 + 1.83868i 0.0797919 + 0.138204i
\(178\) 11.5393 19.9866i 0.864905 1.49806i
\(179\) 11.6093 + 10.7718i 0.867719 + 0.805126i 0.982110 0.188310i \(-0.0603011\pi\)
−0.114391 + 0.993436i \(0.536492\pi\)
\(180\) −5.04799 3.44166i −0.376255 0.256526i
\(181\) 1.67505 + 2.10044i 0.124505 + 0.156125i 0.840177 0.542312i \(-0.182451\pi\)
−0.715672 + 0.698437i \(0.753879\pi\)
\(182\) 3.58073 2.57838i 0.265421 0.191122i
\(183\) −0.580593 + 0.728040i −0.0429187 + 0.0538183i
\(184\) −8.98840 + 2.77255i −0.662634 + 0.204395i
\(185\) −10.6343 27.0959i −0.781853 1.99213i
\(186\) −0.138280 + 1.84521i −0.0101392 + 0.135298i
\(187\) 1.32782 3.38323i 0.0970999 0.247407i
\(188\) 7.16366 + 3.44984i 0.522464 + 0.251605i
\(189\) 0.465301 + 4.61558i 0.0338457 + 0.335734i
\(190\) −13.1231 + 6.31974i −0.952048 + 0.458482i
\(191\) 1.24148 + 16.5664i 0.0898302 + 1.19870i 0.841906 + 0.539624i \(0.181434\pi\)
−0.752076 + 0.659077i \(0.770947\pi\)
\(192\) 0.824499 + 0.254324i 0.0595031 + 0.0183543i
\(193\) 18.7513 12.7844i 1.34975 0.920244i 0.349886 0.936792i \(-0.386220\pi\)
0.999863 + 0.0165487i \(0.00526784\pi\)
\(194\) 15.5695 + 2.34673i 1.11783 + 0.168485i
\(195\) −0.796319 −0.0570256
\(196\) 4.67143 + 2.84519i 0.333674 + 0.203228i
\(197\) −0.688621 −0.0490622 −0.0245311 0.999699i \(-0.507809\pi\)
−0.0245311 + 0.999699i \(0.507809\pi\)
\(198\) 11.6288 + 1.75277i 0.826426 + 0.124564i
\(199\) −17.6884 + 12.0597i −1.25389 + 0.854891i −0.993853 0.110707i \(-0.964689\pi\)
−0.260041 + 0.965598i \(0.583736\pi\)
\(200\) −4.29091 1.32357i −0.303413 0.0935905i
\(201\) −0.0220731 0.294544i −0.00155691 0.0207756i
\(202\) 1.52094 0.732445i 0.107013 0.0515347i
\(203\) −0.0609021 + 0.167712i −0.00427449 + 0.0117711i
\(204\) −0.313375 0.150913i −0.0219406 0.0105660i
\(205\) 1.36873 3.48747i 0.0955964 0.243576i
\(206\) 2.20759 29.4582i 0.153810 2.05245i
\(207\) −4.92399 12.5461i −0.342241 0.872015i
\(208\) 4.73219 1.45969i 0.328119 0.101211i
\(209\) 4.91089 6.15806i 0.339693 0.425962i
\(210\) −1.36724 3.23680i −0.0943485 0.223360i
\(211\) −11.3946 14.2884i −0.784436 0.983652i −0.999974 0.00715663i \(-0.997722\pi\)
0.215538 0.976495i \(-0.430849\pi\)
\(212\) 1.13354 + 0.772835i 0.0778519 + 0.0530785i
\(213\) 0.0776583 + 0.0720563i 0.00532106 + 0.00493722i
\(214\) −7.62484 + 13.2066i −0.521223 + 0.902785i
\(215\) −4.65419 8.06129i −0.317413 0.549775i
\(216\) −0.792943 + 3.47411i −0.0539529 + 0.236383i
\(217\) 5.97061 7.89440i 0.405311 0.535907i
\(218\) 6.07490 + 26.6159i 0.411444 + 1.80265i
\(219\) 0.864192 0.801853i 0.0583967 0.0541842i
\(220\) −5.02370 + 0.757201i −0.338698 + 0.0510505i
\(221\) 1.48415 0.223699i 0.0998345 0.0150476i
\(222\) 3.93062 3.64709i 0.263806 0.244776i
\(223\) 3.04068 + 13.3221i 0.203619 + 0.892113i 0.968711 + 0.248192i \(0.0798363\pi\)
−0.765092 + 0.643921i \(0.777307\pi\)
\(224\) 7.13940 + 8.49566i 0.477021 + 0.567640i
\(225\) 1.43171 6.27275i 0.0954476 0.418183i
\(226\) −8.95319 15.5074i −0.595557 1.03154i
\(227\) 1.30025 2.25210i 0.0863005 0.149477i −0.819644 0.572873i \(-0.805829\pi\)
0.905945 + 0.423396i \(0.139162\pi\)
\(228\) −0.552558 0.512699i −0.0365941 0.0339543i
\(229\) 13.5214 + 9.21876i 0.893522 + 0.609193i 0.920628 0.390440i \(-0.127677\pi\)
−0.0271068 + 0.999633i \(0.508629\pi\)
\(230\) 12.9221 + 16.2038i 0.852056 + 1.06844i
\(231\) 1.42557 + 1.25620i 0.0937956 + 0.0826520i
\(232\) −0.0854556 + 0.107158i −0.00561044 + 0.00703526i
\(233\) 1.90695 0.588215i 0.124928 0.0385353i −0.231661 0.972797i \(-0.574416\pi\)
0.356589 + 0.934261i \(0.383940\pi\)
\(234\) 1.77430 + 4.52084i 0.115989 + 0.295536i
\(235\) −2.04178 + 27.2457i −0.133191 + 1.77731i
\(236\) −2.04363 + 5.20708i −0.133029 + 0.338952i
\(237\) 1.93556 + 0.932116i 0.125728 + 0.0605475i
\(238\) 3.45747 + 5.64853i 0.224115 + 0.366140i
\(239\) −19.1059 + 9.20092i −1.23586 + 0.595158i −0.933685 0.358095i \(-0.883426\pi\)
−0.302173 + 0.953253i \(0.597712\pi\)
\(240\) −0.294701 3.93251i −0.0190229 0.253842i
\(241\) 25.3992 + 7.83461i 1.63610 + 0.504672i 0.970392 0.241536i \(-0.0776513\pi\)
0.665713 + 0.746208i \(0.268127\pi\)
\(242\) −7.07759 + 4.82542i −0.454964 + 0.310190i
\(243\) −7.61084 1.14715i −0.488236 0.0735897i
\(244\) −2.45341 −0.157064
\(245\) −3.23643 + 18.5146i −0.206768 + 1.18285i
\(246\) 0.690135 0.0440014
\(247\) 3.21637 + 0.484790i 0.204653 + 0.0308464i
\(248\) 6.28203 4.28302i 0.398909 0.271972i
\(249\) −1.22389 0.377520i −0.0775608 0.0239243i
\(250\) −0.933823 12.4610i −0.0590602 0.788103i
\(251\) −10.1650 + 4.89521i −0.641609 + 0.308983i −0.726252 0.687429i \(-0.758739\pi\)
0.0846426 + 0.996411i \(0.473025\pi\)
\(252\) −4.30655 + 4.20670i −0.271287 + 0.264997i
\(253\) −10.0976 4.86273i −0.634829 0.305718i
\(254\) −4.16694 + 10.6172i −0.261457 + 0.666182i
\(255\) 0.0893177 1.19186i 0.00559329 0.0746373i
\(256\) 5.94172 + 15.1392i 0.371357 + 0.946203i
\(257\) 8.15516 2.51553i 0.508705 0.156915i −0.0297692 0.999557i \(-0.509477\pi\)
0.538474 + 0.842642i \(0.319001\pi\)
\(258\) 1.06910 1.34061i 0.0665591 0.0834625i
\(259\) −28.2426 + 5.00144i −1.75491 + 0.310774i
\(260\) −1.30811 1.64032i −0.0811256 0.101728i
\(261\) −0.162262 0.110628i −0.0100438 0.00684772i
\(262\) −23.8318 22.1126i −1.47233 1.36612i
\(263\) −6.77545 + 11.7354i −0.417792 + 0.723637i −0.995717 0.0924528i \(-0.970529\pi\)
0.577925 + 0.816090i \(0.303863\pi\)
\(264\) 0.729776 + 1.26401i 0.0449146 + 0.0777944i
\(265\) −1.04904 + 4.59613i −0.0644418 + 0.282338i
\(266\) 3.55182 + 13.9059i 0.217776 + 0.852627i
\(267\) 0.913239 + 4.00116i 0.0558893 + 0.244867i
\(268\) 0.570466 0.529315i 0.0348468 0.0323331i
\(269\) 3.36161 0.506682i 0.204961 0.0308929i −0.0457591 0.998953i \(-0.514571\pi\)
0.250720 + 0.968060i \(0.419333\pi\)
\(270\) 7.76385 1.17021i 0.472493 0.0712168i
\(271\) −8.74927 + 8.11813i −0.531480 + 0.493141i −0.899647 0.436618i \(-0.856176\pi\)
0.368167 + 0.929760i \(0.379986\pi\)
\(272\) 1.65396 + 7.24646i 0.100286 + 0.439381i
\(273\) −0.154910 + 0.769222i −0.00937561 + 0.0465555i
\(274\) −4.65539 + 20.3966i −0.281243 + 1.23220i
\(275\) −2.67512 4.63345i −0.161316 0.279408i
\(276\) −0.536278 + 0.928861i −0.0322802 + 0.0559109i
\(277\) 14.4610 + 13.4178i 0.868876 + 0.806199i 0.982294 0.187348i \(-0.0599893\pi\)
−0.113418 + 0.993547i \(0.536180\pi\)
\(278\) −5.25339 3.58170i −0.315078 0.214816i
\(279\) 6.79241 + 8.51741i 0.406651 + 0.509924i
\(280\) −6.89553 + 12.6846i −0.412087 + 0.758050i
\(281\) −9.48376 + 11.8923i −0.565754 + 0.709433i −0.979610 0.200909i \(-0.935610\pi\)
0.413856 + 0.910342i \(0.364182\pi\)
\(282\) −4.80941 + 1.48351i −0.286396 + 0.0883415i
\(283\) 3.62090 + 9.22589i 0.215240 + 0.548422i 0.997190 0.0749192i \(-0.0238699\pi\)
−0.781950 + 0.623342i \(0.785775\pi\)
\(284\) −0.0208582 + 0.278333i −0.00123771 + 0.0165160i
\(285\) 0.946302 2.41114i 0.0560541 0.142823i
\(286\) 3.63853 + 1.75223i 0.215151 + 0.103611i
\(287\) −3.10254 2.00059i −0.183137 0.118091i
\(288\) −11.0045 + 5.29950i −0.648447 + 0.312276i
\(289\) −1.10206 14.7060i −0.0648273 0.865061i
\(290\) 0.288575 + 0.0890137i 0.0169457 + 0.00522706i
\(291\) −2.31347 + 1.57730i −0.135618 + 0.0924629i
\(292\) 3.07132 + 0.462927i 0.179736 + 0.0270908i
\(293\) 3.52034 0.205661 0.102830 0.994699i \(-0.467210\pi\)
0.102830 + 0.994699i \(0.467210\pi\)
\(294\) −3.39263 + 0.691052i −0.197862 + 0.0403029i
\(295\) −19.2217 −1.11913
\(296\) −21.7862 3.28374i −1.26629 0.190863i
\(297\) −3.50804 + 2.39174i −0.203557 + 0.138783i
\(298\) −12.4324 3.83487i −0.720187 0.222148i
\(299\) −0.345873 4.61535i −0.0200023 0.266913i
\(300\) −0.461314 + 0.222157i −0.0266340 + 0.0128262i
\(301\) −8.69238 + 2.92763i −0.501020 + 0.168746i
\(302\) 4.18045 + 2.01320i 0.240558 + 0.115846i
\(303\) −0.109674 + 0.279446i −0.00630063 + 0.0160538i
\(304\) −1.20376 + 16.0630i −0.0690401 + 0.921276i
\(305\) −3.08004 7.84782i −0.176363 0.449365i
\(306\) −6.96541 + 2.14855i −0.398186 + 0.122824i
\(307\) 18.5001 23.1984i 1.05585 1.32400i 0.111975 0.993711i \(-0.464282\pi\)
0.943880 0.330289i \(-0.107146\pi\)
\(308\) −0.245841 + 5.00005i −0.0140081 + 0.284905i
\(309\) 3.27535 + 4.10715i 0.186328 + 0.233648i
\(310\) −13.8415 9.43700i −0.786146 0.535986i
\(311\) 18.1335 + 16.8254i 1.02826 + 0.954082i 0.998965 0.0454887i \(-0.0144845\pi\)
0.0292913 + 0.999571i \(0.490675\pi\)
\(312\) −0.301372 + 0.521992i −0.0170618 + 0.0295520i
\(313\) 0.495227 + 0.857759i 0.0279919 + 0.0484834i 0.879682 0.475562i \(-0.157755\pi\)
−0.851690 + 0.524046i \(0.824422\pi\)
\(314\) −3.03037 + 13.2769i −0.171014 + 0.749261i
\(315\) −18.8626 8.49439i −1.06279 0.478604i
\(316\) 1.25949 + 5.51820i 0.0708520 + 0.310423i
\(317\) 8.45602 7.84604i 0.474937 0.440677i −0.406026 0.913861i \(-0.633086\pi\)
0.880964 + 0.473184i \(0.156895\pi\)
\(318\) −0.858729 + 0.129433i −0.0481551 + 0.00725822i
\(319\) −0.161481 + 0.0243394i −0.00904121 + 0.00136274i
\(320\) −5.72634 + 5.31327i −0.320112 + 0.297021i
\(321\) −0.603443 2.64386i −0.0336809 0.147566i
\(322\) 18.1662 9.33019i 1.01236 0.519951i
\(323\) −1.08635 + 4.75961i −0.0604461 + 0.264832i
\(324\) −3.20997 5.55983i −0.178331 0.308879i
\(325\) 1.10473 1.91345i 0.0612796 0.106139i
\(326\) 18.8931 + 17.5303i 1.04639 + 0.970912i
\(327\) −4.01124 2.73482i −0.221822 0.151236i
\(328\) −1.76805 2.21707i −0.0976244 0.122417i
\(329\) 25.9214 + 7.27249i 1.42909 + 0.400945i
\(330\) 2.00509 2.51430i 0.110376 0.138408i
\(331\) 10.2924 3.17479i 0.565723 0.174502i 0.00131590 0.999999i \(-0.499581\pi\)
0.564407 + 0.825497i \(0.309105\pi\)
\(332\) −1.23283 3.14121i −0.0676605 0.172396i
\(333\) 2.35914 31.4806i 0.129280 1.72512i
\(334\) −14.4597 + 36.8427i −0.791198 + 2.01594i
\(335\) 2.40931 + 1.16026i 0.131635 + 0.0633919i
\(336\) −3.85602 0.480331i −0.210363 0.0262042i
\(337\) 13.8102 6.65066i 0.752292 0.362285i −0.0181161 0.999836i \(-0.505767\pi\)
0.770408 + 0.637551i \(0.220053\pi\)
\(338\) 0.124631 + 1.66308i 0.00677903 + 0.0904599i
\(339\) 3.04282 + 0.938587i 0.165263 + 0.0509770i
\(340\) 2.60181 1.77388i 0.141103 0.0962024i
\(341\) 8.95788 + 1.35018i 0.485096 + 0.0731165i
\(342\) −15.7969 −0.854199
\(343\) 17.2550 + 6.72800i 0.931681 + 0.363278i
\(344\) −7.04563 −0.379875
\(345\) −3.64443 0.549310i −0.196210 0.0295739i
\(346\) −9.65984 + 6.58597i −0.519316 + 0.354064i
\(347\) −26.0185 8.02563i −1.39674 0.430839i −0.497188 0.867643i \(-0.665634\pi\)
−0.899556 + 0.436804i \(0.856110\pi\)
\(348\) 0.00116791 + 0.0155846i 6.26064e−5 + 0.000835424i
\(349\) −1.97896 + 0.953019i −0.105932 + 0.0510139i −0.486099 0.873904i \(-0.661581\pi\)
0.380168 + 0.924918i \(0.375866\pi\)
\(350\) 9.67438 + 1.20510i 0.517118 + 0.0644154i
\(351\) −1.57973 0.760758i −0.0843198 0.0406063i
\(352\) −3.71063 + 9.45454i −0.197777 + 0.503929i
\(353\) −1.93627 + 25.8377i −0.103057 + 1.37520i 0.670704 + 0.741725i \(0.265992\pi\)
−0.773761 + 0.633477i \(0.781627\pi\)
\(354\) −1.29361 3.29607i −0.0687547 0.175184i
\(355\) −0.916500 + 0.282703i −0.0486428 + 0.0150043i
\(356\) −6.74173 + 8.45386i −0.357311 + 0.448054i
\(357\) −1.13393 0.318135i −0.0600140 0.0168375i
\(358\) −16.4676 20.6497i −0.870340 1.09137i
\(359\) 6.98076 + 4.75940i 0.368430 + 0.251191i 0.733356 0.679845i \(-0.237953\pi\)
−0.364925 + 0.931037i \(0.618905\pi\)
\(360\) −11.6488 10.8085i −0.613947 0.569659i
\(361\) 4.20997 7.29188i 0.221577 0.383783i
\(362\) −2.24026 3.88024i −0.117745 0.203941i
\(363\) 0.338966 1.48511i 0.0177911 0.0779478i
\(364\) −1.83897 + 0.944502i −0.0963884 + 0.0495054i
\(365\) 2.37499 + 10.4055i 0.124313 + 0.544650i
\(366\) 1.13843 1.05631i 0.0595068 0.0552143i
\(367\) 25.4404 3.83452i 1.32798 0.200160i 0.553546 0.832819i \(-0.313274\pi\)
0.774431 + 0.632659i \(0.218036\pi\)
\(368\) 22.6643 3.41609i 1.18146 0.178076i
\(369\) 2.97852 2.76366i 0.155056 0.143871i
\(370\) 10.8022 + 47.3277i 0.561582 + 2.46045i
\(371\) 4.23566 + 1.90744i 0.219904 + 0.0990293i
\(372\) 0.192915 0.845218i 0.0100022 0.0438225i
\(373\) 10.0785 + 17.4565i 0.521846 + 0.903864i 0.999677 + 0.0254119i \(0.00808972\pi\)
−0.477831 + 0.878452i \(0.658577\pi\)
\(374\) −3.03069 + 5.24931i −0.156713 + 0.271435i
\(375\) 1.62896 + 1.51145i 0.0841189 + 0.0780509i
\(376\) 17.0870 + 11.6497i 0.881193 + 0.600787i
\(377\) −0.0420478 0.0527262i −0.00216557 0.00271554i
\(378\) 0.379934 7.72731i 0.0195417 0.397450i
\(379\) 7.51747 9.42661i 0.386146 0.484212i −0.550328 0.834949i \(-0.685497\pi\)
0.936474 + 0.350736i \(0.114069\pi\)
\(380\) 6.52113 2.01150i 0.334527 0.103188i
\(381\) −0.741008 1.88806i −0.0379630 0.0967281i
\(382\) 2.07047 27.6285i 0.105935 1.41360i
\(383\) 6.52339 16.6213i 0.333330 0.849310i −0.661703 0.749766i \(-0.730166\pi\)
0.995033 0.0995446i \(-0.0317386\pi\)
\(384\) −3.53798 1.70380i −0.180547 0.0869468i
\(385\) −16.3025 + 5.49075i −0.830852 + 0.279834i
\(386\) −34.1009 + 16.4221i −1.73569 + 0.835865i
\(387\) −0.754424 10.0671i −0.0383495 0.511739i
\(388\) −7.04937 2.17444i −0.357878 0.110391i
\(389\) −7.38279 + 5.03350i −0.374323 + 0.255209i −0.735838 0.677157i \(-0.763212\pi\)
0.361516 + 0.932366i \(0.382259\pi\)
\(390\) 1.31323 + 0.197937i 0.0664978 + 0.0100229i
\(391\) 6.94666 0.351307
\(392\) 10.9116 + 9.12847i 0.551117 + 0.461057i
\(393\) 5.78132 0.291629
\(394\) 1.13562 + 0.171167i 0.0572117 + 0.00862327i
\(395\) −16.0701 + 10.9564i −0.808574 + 0.551276i
\(396\) −5.26516 1.62409i −0.264584 0.0816134i
\(397\) −0.467489 6.23820i −0.0234626 0.313087i −0.996571 0.0827397i \(-0.973633\pi\)
0.973109 0.230347i \(-0.0739861\pi\)
\(398\) 32.1679 15.4912i 1.61243 0.776505i
\(399\) −2.14501 1.38315i −0.107385 0.0692440i
\(400\) 9.85816 + 4.74744i 0.492908 + 0.237372i
\(401\) 7.38554 18.8181i 0.368816 0.939729i −0.619180 0.785249i \(-0.712535\pi\)
0.987996 0.154479i \(-0.0493700\pi\)
\(402\) −0.0368123 + 0.491226i −0.00183603 + 0.0245001i
\(403\) 1.36677 + 3.48247i 0.0680836 + 0.173474i
\(404\) −0.755786 + 0.233129i −0.0376018 + 0.0115986i
\(405\) 13.7546 17.2477i 0.683471 0.857046i
\(406\) 0.142122 0.261440i 0.00705341 0.0129750i
\(407\) −16.3673 20.5239i −0.811296 1.01733i
\(408\) −0.747470 0.509617i −0.0370053 0.0252298i
\(409\) 17.3561 + 16.1041i 0.858205 + 0.796298i 0.980566 0.196187i \(-0.0628561\pi\)
−0.122361 + 0.992486i \(0.539047\pi\)
\(410\) −3.12407 + 5.41104i −0.154287 + 0.267232i
\(411\) −1.86020 3.22197i −0.0917571 0.158928i
\(412\) −3.07983 + 13.4936i −0.151732 + 0.664783i
\(413\) −3.73925 + 18.5676i −0.183997 + 0.913652i
\(414\) 5.00173 + 21.9140i 0.245821 + 1.07701i
\(415\) 8.50019 7.88703i 0.417258 0.387159i
\(416\) −4.14749 + 0.625134i −0.203347 + 0.0306497i
\(417\) 1.11805 0.168519i 0.0547512 0.00825241i
\(418\) −9.62932 + 8.93470i −0.470985 + 0.437010i
\(419\) 2.34829 + 10.2885i 0.114722 + 0.502628i 0.999340 + 0.0363132i \(0.0115614\pi\)
−0.884619 + 0.466315i \(0.845581\pi\)
\(420\) 0.407406 + 1.59506i 0.0198794 + 0.0778309i
\(421\) 8.55595 37.4861i 0.416992 1.82696i −0.132149 0.991230i \(-0.542188\pi\)
0.549141 0.835730i \(-0.314955\pi\)
\(422\) 15.2395 + 26.3955i 0.741846 + 1.28491i
\(423\) −14.8159 + 25.6620i −0.720376 + 1.24773i
\(424\) 2.61578 + 2.42709i 0.127033 + 0.117870i
\(425\) 2.73998 + 1.86809i 0.132909 + 0.0906156i
\(426\) −0.110157 0.138133i −0.00533713 0.00669255i
\(427\) −8.17995 + 1.44857i −0.395855 + 0.0701014i
\(428\) 4.45475 5.58608i 0.215328 0.270013i
\(429\) −0.686255 + 0.211682i −0.0331327 + 0.0102201i
\(430\) 5.67156 + 14.4509i 0.273507 + 0.696884i
\(431\) 0.837595 11.1769i 0.0403455 0.538373i −0.940012 0.341143i \(-0.889186\pi\)
0.980357 0.197231i \(-0.0631949\pi\)
\(432\) 3.17227 8.08282i 0.152626 0.388885i
\(433\) −0.429584 0.206877i −0.0206445 0.00994186i 0.423533 0.905881i \(-0.360790\pi\)
−0.444178 + 0.895939i \(0.646504\pi\)
\(434\) −11.8085 + 11.5347i −0.566827 + 0.553685i
\(435\) −0.0483850 + 0.0233010i −0.00231988 + 0.00111720i
\(436\) −0.955866 12.7551i −0.0457777 0.610861i
\(437\) 14.3856 + 4.43738i 0.688158 + 0.212269i
\(438\) −1.62447 + 1.10754i −0.0776201 + 0.0529205i
\(439\) 17.3079 + 2.60874i 0.826059 + 0.124508i 0.548448 0.836185i \(-0.315219\pi\)
0.277612 + 0.960693i \(0.410457\pi\)
\(440\) −13.2140 −0.629955
\(441\) −11.8747 + 16.5683i −0.565464 + 0.788969i
\(442\) −2.50314 −0.119062
\(443\) −33.3998 5.03422i −1.58687 0.239183i −0.704490 0.709713i \(-0.748824\pi\)
−0.882384 + 0.470531i \(0.844063\pi\)
\(444\) −2.07571 + 1.41519i −0.0985086 + 0.0671620i
\(445\) −35.5053 10.9519i −1.68311 0.519172i
\(446\) −1.70304 22.7255i −0.0806414 1.07608i
\(447\) 2.08451 1.00385i 0.0985941 0.0474804i
\(448\) 4.01851 + 6.56509i 0.189857 + 0.310171i
\(449\) 32.2881 + 15.5491i 1.52377 + 0.733808i 0.993480 0.114008i \(-0.0363691\pi\)
0.530289 + 0.847817i \(0.322083\pi\)
\(450\) −3.92025 + 9.98864i −0.184802 + 0.470869i
\(451\) 0.252494 3.36929i 0.0118895 0.158654i
\(452\) 3.06506 + 7.80965i 0.144168 + 0.367335i
\(453\) −0.788464 + 0.243209i −0.0370453 + 0.0114270i
\(454\) −2.70406 + 3.39078i −0.126908 + 0.159137i
\(455\) −5.32989 4.69666i −0.249869 0.220183i
\(456\) −1.22238 1.53282i −0.0572433 0.0717808i
\(457\) −21.6374 14.7521i −1.01216 0.690076i −0.0607931 0.998150i \(-0.519363\pi\)
−0.951362 + 0.308075i \(0.900315\pi\)
\(458\) −20.0070 18.5638i −0.934866 0.867429i
\(459\) 1.31582 2.27908i 0.0614175 0.106378i
\(460\) −4.85519 8.40943i −0.226374 0.392092i
\(461\) 2.59037 11.3492i 0.120646 0.528583i −0.878098 0.478480i \(-0.841188\pi\)
0.998744 0.0501031i \(-0.0159550\pi\)
\(462\) −2.03869 2.42597i −0.0948483 0.112866i
\(463\) −7.61745 33.3742i −0.354013 1.55103i −0.767819 0.640667i \(-0.778658\pi\)
0.413806 0.910365i \(-0.364199\pi\)
\(464\) 0.244820 0.227160i 0.0113655 0.0105456i
\(465\) 2.94582 0.444011i 0.136609 0.0205905i
\(466\) −3.29100 + 0.496038i −0.152452 + 0.0229785i
\(467\) 12.9869 12.0501i 0.600963 0.557613i −0.319923 0.947444i \(-0.603657\pi\)
0.920886 + 0.389831i \(0.127467\pi\)
\(468\) −0.506328 2.21837i −0.0234050 0.102544i
\(469\) 1.58947 2.10162i 0.0733950 0.0970437i
\(470\) 10.1395 44.4238i 0.467698 2.04912i
\(471\) −1.21088 2.09730i −0.0557943 0.0966386i
\(472\) −7.27457 + 12.5999i −0.334839 + 0.579959i
\(473\) −6.15380 5.70989i −0.282952 0.262541i
\(474\) −2.96028 2.01828i −0.135970 0.0927029i
\(475\) 4.48086 + 5.61881i 0.205596 + 0.257809i
\(476\) −1.20738 2.85836i −0.0553404 0.131013i
\(477\) −3.18783 + 3.99741i −0.145961 + 0.183029i
\(478\) 33.7950 10.4244i 1.54575 0.476799i
\(479\) 10.9056 + 27.7869i 0.498287 + 1.26962i 0.929985 + 0.367597i \(0.119819\pi\)
−0.431698 + 0.902018i \(0.642085\pi\)
\(480\) −0.249601 + 3.33069i −0.0113927 + 0.152025i
\(481\) 3.96058 10.0914i 0.180587 0.460128i
\(482\) −39.9389 19.2336i −1.81917 0.876065i
\(483\) −1.23958 + 3.41356i −0.0564029 + 0.155322i
\(484\) 3.61595 1.74135i 0.164361 0.0791523i
\(485\) −1.89439 25.2789i −0.0860200 1.14786i
\(486\) 12.2661 + 3.78358i 0.556399 + 0.171626i
\(487\) 18.6270 12.6996i 0.844068 0.575476i −0.0622555 0.998060i \(-0.519829\pi\)
0.906324 + 0.422584i \(0.138877\pi\)
\(488\) −6.30996 0.951073i −0.285638 0.0430531i
\(489\) −4.58326 −0.207262
\(490\) 9.93934 29.7283i 0.449014 1.34299i
\(491\) −32.3306 −1.45906 −0.729530 0.683949i \(-0.760261\pi\)
−0.729530 + 0.683949i \(0.760261\pi\)
\(492\) −0.319735 0.0481922i −0.0144147 0.00217267i
\(493\) 0.0836323 0.0570195i 0.00376661 0.00256803i
\(494\) −5.18368 1.59895i −0.233225 0.0719403i
\(495\) −1.41492 18.8808i −0.0635958 0.848627i
\(496\) −16.6919 + 8.03839i −0.749488 + 0.360934i
\(497\) 0.0947935 + 0.940309i 0.00425207 + 0.0421786i
\(498\) 1.92450 + 0.926791i 0.0862390 + 0.0415305i
\(499\) −2.11041 + 5.37723i −0.0944747 + 0.240718i −0.970297 0.241916i \(-0.922224\pi\)
0.875823 + 0.482633i \(0.160320\pi\)
\(500\) −0.437520 + 5.83830i −0.0195665 + 0.261097i
\(501\) −2.57137 6.55173i −0.114880 0.292710i
\(502\) 17.9801 5.54612i 0.802491 0.247536i
\(503\) 13.4356 16.8477i 0.599062 0.751200i −0.386169 0.922428i \(-0.626202\pi\)
0.985231 + 0.171228i \(0.0547734\pi\)
\(504\) −12.7068 + 9.14982i −0.566007 + 0.407565i
\(505\) −1.69454 2.12489i −0.0754062 0.0945563i
\(506\) 15.4434 + 10.5291i 0.686543 + 0.468077i
\(507\) −0.217405 0.201723i −0.00965531 0.00895882i
\(508\) 2.67191 4.62789i 0.118547 0.205329i
\(509\) −11.5701 20.0400i −0.512835 0.888257i −0.999889 0.0148849i \(-0.995262\pi\)
0.487054 0.873372i \(-0.338072\pi\)
\(510\) −0.443551 + 1.94332i −0.0196408 + 0.0860518i
\(511\) 10.5135 0.269958i 0.465088 0.0119422i
\(512\) −0.142864 0.625928i −0.00631375 0.0276624i
\(513\) 4.18073 3.87915i 0.184584 0.171269i
\(514\) −14.0741 + 2.12133i −0.620782 + 0.0935679i
\(515\) −47.0290 + 7.08848i −2.07234 + 0.312356i
\(516\) −0.588920 + 0.546438i −0.0259258 + 0.0240556i
\(517\) 5.48301 + 24.0226i 0.241142 + 1.05651i
\(518\) 47.8186 1.22786i 2.10103 0.0539489i
\(519\) 0.462637 2.02695i 0.0203075 0.0889730i
\(520\) −2.72847 4.72585i −0.119651 0.207242i
\(521\) −0.817245 + 1.41551i −0.0358041 + 0.0620146i −0.883372 0.468672i \(-0.844733\pi\)
0.847568 + 0.530687i \(0.178066\pi\)
\(522\) 0.240091 + 0.222772i 0.0105085 + 0.00975047i
\(523\) −26.7912 18.2659i −1.17150 0.798712i −0.188452 0.982082i \(-0.560347\pi\)
−0.983044 + 0.183370i \(0.941299\pi\)
\(524\) 9.49695 + 11.9088i 0.414876 + 0.520238i
\(525\) −1.40690 + 1.01307i −0.0614023 + 0.0442141i
\(526\) 14.0905 17.6690i 0.614377 0.770404i
\(527\) −5.36557 + 1.65506i −0.233728 + 0.0720954i
\(528\) −1.29933 3.31064i −0.0565460 0.144077i
\(529\) −0.117992 + 1.57449i −0.00513008 + 0.0684561i
\(530\) 2.87242 7.31881i 0.124770 0.317909i
\(531\) −18.7822 9.04505i −0.815079 0.392522i
\(532\) −0.674480 6.69054i −0.0292424 0.290072i
\(533\) 1.25712 0.605399i 0.0544521 0.0262227i
\(534\) −0.511493 6.82540i −0.0221345 0.295364i
\(535\) 23.4609 + 7.23674i 1.01430 + 0.312872i
\(536\) 1.67238 1.14021i 0.0722358 0.0492495i
\(537\) 4.64439 + 0.700029i 0.200420 + 0.0302085i
\(538\) −5.66965 −0.244436
\(539\) 2.13253 + 16.8159i 0.0918548 + 0.724312i
\(540\) −3.67865 −0.158304
\(541\) 29.7221 + 4.47989i 1.27785 + 0.192605i 0.752678 0.658389i \(-0.228762\pi\)
0.525175 + 0.850994i \(0.324000\pi\)
\(542\) 16.4465 11.2130i 0.706437 0.481640i
\(543\) 0.761372 + 0.234852i 0.0326736 + 0.0100785i
\(544\) −0.470450 6.27772i −0.0201704 0.269155i
\(545\) 39.6004 19.0705i 1.69629 0.816892i
\(546\) 0.446668 1.23003i 0.0191156 0.0526406i
\(547\) −14.4974 6.98159i −0.619865 0.298511i 0.0974711 0.995238i \(-0.468925\pi\)
−0.717336 + 0.696727i \(0.754639\pi\)
\(548\) 3.58111 9.12451i 0.152977 0.389780i
\(549\) 0.683282 9.11776i 0.0291618 0.389137i
\(550\) 3.25989 + 8.30606i 0.139002 + 0.354172i
\(551\) 0.209614 0.0646575i 0.00892988 0.00275450i
\(552\) −1.73934 + 2.18106i −0.0740311 + 0.0928320i
\(553\) 7.45742 + 17.6546i 0.317122 + 0.750752i
\(554\) −20.5127 25.7221i −0.871501 1.09283i
\(555\) −7.13269 4.86299i −0.302766 0.206422i
\(556\) 2.18375 + 2.02622i 0.0926115 + 0.0859309i
\(557\) −3.88595 + 6.73067i −0.164653 + 0.285187i −0.936532 0.350582i \(-0.885984\pi\)
0.771879 + 0.635770i \(0.219317\pi\)
\(558\) −9.08437 15.7346i −0.384572 0.666098i
\(559\) 0.771424 3.37983i 0.0326278 0.142952i
\(560\) 21.2213 28.0590i 0.896763 1.18571i
\(561\) −0.239854 1.05087i −0.0101267 0.0443678i
\(562\) 18.5959 17.2544i 0.784419 0.727835i
\(563\) 11.6210 1.75158i 0.489765 0.0738202i 0.100483 0.994939i \(-0.467961\pi\)
0.389282 + 0.921119i \(0.372723\pi\)
\(564\) 2.33176 0.351456i 0.0981846 0.0147989i
\(565\) −21.1331 + 19.6087i −0.889077 + 0.824943i
\(566\) −3.67806 16.1146i −0.154600 0.677349i
\(567\) −13.9851 16.6418i −0.587319 0.698890i
\(568\) −0.161542 + 0.707763i −0.00677816 + 0.0296971i
\(569\) 12.2821 + 21.2732i 0.514891 + 0.891818i 0.999851 + 0.0172811i \(0.00550100\pi\)
−0.484960 + 0.874537i \(0.661166\pi\)
\(570\) −2.15989 + 3.74104i −0.0904678 + 0.156695i
\(571\) 23.8819 + 22.1592i 0.999428 + 0.927334i 0.997356 0.0726639i \(-0.0231500\pi\)
0.00207183 + 0.999998i \(0.499341\pi\)
\(572\) −1.56335 1.06587i −0.0653669 0.0445664i
\(573\) 3.07191 + 3.85205i 0.128331 + 0.160922i
\(574\) 4.61918 + 4.07039i 0.192801 + 0.169895i
\(575\) 6.37584 7.99505i 0.265891 0.333417i
\(576\) −8.09566 + 2.49718i −0.337319 + 0.104049i
\(577\) −4.34397 11.0683i −0.180842 0.460778i 0.811492 0.584364i \(-0.198656\pi\)
−0.992334 + 0.123586i \(0.960561\pi\)
\(578\) −1.83797 + 24.5259i −0.0764493 + 1.02014i
\(579\) 2.45901 6.26545i 0.102193 0.260383i
\(580\) −0.127479 0.0613906i −0.00529327 0.00254911i
\(581\) −5.96508 9.74524i −0.247473 0.404301i
\(582\) 4.20726 2.02611i 0.174396 0.0839848i
\(583\) 0.317724 + 4.23973i 0.0131588 + 0.175592i
\(584\) 7.71972 + 2.38122i 0.319444 + 0.0985355i
\(585\) 6.46033 4.40458i 0.267102 0.182107i
\(586\) −5.80547 0.875034i −0.239822 0.0361473i
\(587\) −14.9999 −0.619111 −0.309556 0.950881i \(-0.600180\pi\)
−0.309556 + 0.950881i \(0.600180\pi\)
\(588\) 1.62004 0.0832514i 0.0668092 0.00343323i
\(589\) −12.1686 −0.501399
\(590\) 31.6989 + 4.77783i 1.30502 + 0.196700i
\(591\) −0.168741 + 0.115046i −0.00694109 + 0.00473236i
\(592\) 51.3007 + 15.8242i 2.10845 + 0.650370i
\(593\) −0.821509 10.9623i −0.0337353 0.450167i −0.988337 0.152282i \(-0.951338\pi\)
0.954602 0.297885i \(-0.0962812\pi\)
\(594\) 6.37969 3.07230i 0.261762 0.126058i
\(595\) 7.62737 7.45052i 0.312692 0.305442i
\(596\) 5.49203 + 2.64482i 0.224962 + 0.108336i
\(597\) −2.31962 + 5.91028i −0.0949355 + 0.241892i
\(598\) −0.576828 + 7.69724i −0.0235883 + 0.314764i
\(599\) 0.105205 + 0.268059i 0.00429857 + 0.0109526i 0.933007 0.359858i \(-0.117175\pi\)
−0.928708 + 0.370811i \(0.879080\pi\)
\(600\) −1.27258 + 0.392539i −0.0519528 + 0.0160253i
\(601\) 12.7881 16.0357i 0.521637 0.654112i −0.449319 0.893371i \(-0.648333\pi\)
0.970956 + 0.239260i \(0.0769048\pi\)
\(602\) 15.0625 2.66739i 0.613901 0.108715i
\(603\) 1.80825 + 2.26747i 0.0736376 + 0.0923387i
\(604\) −1.79619 1.22462i −0.0730859 0.0498291i
\(605\) 10.1096 + 9.38037i 0.411015 + 0.381366i
\(606\) 0.250327 0.433579i 0.0101688 0.0176129i
\(607\) 8.16240 + 14.1377i 0.331302 + 0.573831i 0.982767 0.184847i \(-0.0591789\pi\)
−0.651466 + 0.758678i \(0.725846\pi\)
\(608\) 3.03584 13.3009i 0.123119 0.539421i
\(609\) 0.0130956 + 0.0512713i 0.000530661 + 0.00207762i
\(610\) 3.12867 + 13.7076i 0.126676 + 0.555004i
\(611\) −7.45927 + 6.92119i −0.301770 + 0.280001i
\(612\) 3.37706 0.509009i 0.136509 0.0205755i
\(613\) −42.6561 + 6.42937i −1.72286 + 0.259680i −0.934611 0.355671i \(-0.884252\pi\)
−0.788253 + 0.615351i \(0.789014\pi\)
\(614\) −36.2751 + 33.6584i −1.46395 + 1.35834i
\(615\) −0.247244 1.08325i −0.00996985 0.0436808i
\(616\) −2.57057 + 12.7644i −0.103571 + 0.514292i
\(617\) 8.67360 38.0015i 0.349186 1.52988i −0.429847 0.902902i \(-0.641433\pi\)
0.779033 0.626982i \(-0.215710\pi\)
\(618\) −4.38054 7.58733i −0.176211 0.305207i
\(619\) −11.7283 + 20.3140i −0.471400 + 0.816489i −0.999465 0.0327150i \(-0.989585\pi\)
0.528064 + 0.849204i \(0.322918\pi\)
\(620\) 5.75369 + 5.33865i 0.231074 + 0.214405i
\(621\) −6.70501 4.57140i −0.269063 0.183444i
\(622\) −25.7221 32.2545i −1.03136 1.29329i
\(623\) −17.4862 + 32.1666i −0.700571 + 1.28873i
\(624\) 0.915722 1.14828i 0.0366582 0.0459680i
\(625\) −29.7810 + 9.18622i −1.19124 + 0.367449i
\(626\) −0.603481 1.53764i −0.0241199 0.0614566i
\(627\) 0.174567 2.32943i 0.00697153 0.0930285i
\(628\) 2.33108 5.93949i 0.0930202 0.237012i
\(629\) 14.6597 + 7.05975i 0.584521 + 0.281491i
\(630\) 28.9953 + 18.6969i 1.15520 + 0.744900i
\(631\) 32.9753 15.8800i 1.31272 0.632175i 0.359135 0.933286i \(-0.383072\pi\)
0.953589 + 0.301111i \(0.0973575\pi\)
\(632\) 1.10016 + 14.6806i 0.0437619 + 0.583962i
\(633\) −5.17928 1.59759i −0.205858 0.0634987i
\(634\) −15.8952 + 10.8372i −0.631281 + 0.430400i
\(635\) 18.1578 + 2.73684i 0.720569 + 0.108608i
\(636\) 0.406881 0.0161339
\(637\) −5.57368 + 4.23487i −0.220837 + 0.167792i
\(638\) 0.272352 0.0107825
\(639\) −1.02858 0.155033i −0.0406899 0.00613302i
\(640\) 29.3743 20.0271i 1.16112 0.791639i
\(641\) −32.9242 10.1558i −1.30043 0.401129i −0.434218 0.900808i \(-0.642975\pi\)
−0.866211 + 0.499679i \(0.833451\pi\)
\(642\) 0.337980 + 4.51004i 0.0133390 + 0.177997i
\(643\) −6.33571 + 3.05112i −0.249856 + 0.120324i −0.554620 0.832103i \(-0.687137\pi\)
0.304764 + 0.952428i \(0.401422\pi\)
\(644\) −9.06777 + 3.05406i −0.357320 + 0.120347i
\(645\) −2.48725 1.19780i −0.0979353 0.0471632i
\(646\) 2.97459 7.57914i 0.117034 0.298197i
\(647\) 2.38712 31.8539i 0.0938473 1.25230i −0.729188 0.684314i \(-0.760102\pi\)
0.823035 0.567991i \(-0.192279\pi\)
\(648\) −6.10047 15.5437i −0.239649 0.610616i
\(649\) −16.5649 + 5.10961i −0.650231 + 0.200570i
\(650\) −2.29746 + 2.88092i −0.0901136 + 0.112999i
\(651\) 0.144157 2.93195i 0.00564997 0.114912i
\(652\) −7.52891 9.44096i −0.294855 0.369736i
\(653\) 4.08282 + 2.78362i 0.159773 + 0.108932i 0.640567 0.767902i \(-0.278699\pi\)
−0.480794 + 0.876833i \(0.659652\pi\)
\(654\) 5.93524 + 5.50710i 0.232086 + 0.215345i
\(655\) −26.1705 + 45.3287i −1.02257 + 1.77114i
\(656\) 3.45491 + 5.98408i 0.134892 + 0.233639i
\(657\) −2.57578 + 11.2852i −0.100491 + 0.440278i
\(658\) −40.9397 18.4363i −1.59600 0.718723i
\(659\) 8.29821 + 36.3569i 0.323253 + 1.41626i 0.831727 + 0.555185i \(0.187352\pi\)
−0.508474 + 0.861077i \(0.669790\pi\)
\(660\) −1.10452 + 1.02484i −0.0429932 + 0.0398919i
\(661\) 42.4647 6.40052i 1.65168 0.248951i 0.743870 0.668325i \(-0.232988\pi\)
0.907814 + 0.419373i \(0.137750\pi\)
\(662\) −17.7626 + 2.67728i −0.690362 + 0.104055i
\(663\) 0.326306 0.302768i 0.0126727 0.0117585i
\(664\) −1.95304 8.55683i −0.0757927 0.332069i
\(665\) 20.5545 10.5569i 0.797070 0.409378i
\(666\) −11.7155 + 51.3288i −0.453965 + 1.98895i
\(667\) −0.156065 0.270312i −0.00604284 0.0104665i
\(668\) 9.27179 16.0592i 0.358736 0.621349i
\(669\) 2.97078 + 2.75648i 0.114857 + 0.106572i
\(670\) −3.68484 2.51228i −0.142358 0.0970579i
\(671\) −4.74048 5.94437i −0.183004 0.229480i
\(672\) 3.16880 + 0.889038i 0.122239 + 0.0342954i
\(673\) 8.03830 10.0797i 0.309854 0.388544i −0.602383 0.798207i \(-0.705782\pi\)
0.912237 + 0.409663i \(0.134354\pi\)
\(674\) −24.4279 + 7.53500i −0.940926 + 0.290237i
\(675\) −1.41533 3.60621i −0.0544763 0.138803i
\(676\) 0.0583928 0.779198i 0.00224588 0.0299691i
\(677\) 4.82062 12.2827i 0.185272 0.472064i −0.807817 0.589434i \(-0.799351\pi\)
0.993088 + 0.117369i \(0.0374461\pi\)
\(678\) −4.78468 2.30418i −0.183755 0.0884916i
\(679\) −24.7873 3.08766i −0.951248 0.118493i
\(680\) 7.37928 3.55367i 0.282983 0.136277i
\(681\) −0.0576352 0.769088i −0.00220858 0.0294715i
\(682\) −14.4370 4.45323i −0.552822 0.170523i
\(683\) −13.3017 + 9.06898i −0.508977 + 0.347015i −0.790422 0.612563i \(-0.790139\pi\)
0.281445 + 0.959577i \(0.409186\pi\)
\(684\) 7.31859 + 1.10310i 0.279833 + 0.0421781i
\(685\) 33.6827 1.28695
\(686\) −26.7832 15.3843i −1.02259 0.587374i
\(687\) 4.85348 0.185172
\(688\) 16.9763 + 2.55877i 0.647215 + 0.0975520i
\(689\) −1.45069 + 0.989061i −0.0552668 + 0.0376802i
\(690\) 5.87357 + 1.81176i 0.223603 + 0.0689724i
\(691\) −2.59205 34.5885i −0.0986061 1.31581i −0.798688 0.601745i \(-0.794472\pi\)
0.700082 0.714062i \(-0.253147\pi\)
\(692\) 4.93523 2.37668i 0.187609 0.0903479i
\(693\) −18.5135 2.30616i −0.703271 0.0876039i
\(694\) 40.9127 + 19.7025i 1.55302 + 0.747897i
\(695\) −3.73985 + 9.52898i −0.141861 + 0.361455i
\(696\) −0.00303768 + 0.0405351i −0.000115143 + 0.00153648i
\(697\) 0.765106 + 1.94946i 0.0289805 + 0.0738410i
\(698\) 3.50044 1.07974i 0.132493 0.0408688i
\(699\) 0.369012 0.462726i 0.0139573 0.0175019i
\(700\) −4.39792 1.23388i −0.166226 0.0466362i
\(701\) −18.6472 23.3828i −0.704295 0.883158i 0.293041 0.956100i \(-0.405333\pi\)
−0.997336 + 0.0729421i \(0.976761\pi\)
\(702\) 2.41607 + 1.64725i 0.0911886 + 0.0621713i
\(703\) 25.8488 + 23.9841i 0.974904 + 0.904579i
\(704\) −3.52247 + 6.10110i −0.132758 + 0.229944i
\(705\) 4.05153 + 7.01745i 0.152589 + 0.264293i
\(706\) 9.61549 42.1282i 0.361884 1.58552i
\(707\) −2.38223 + 1.22352i −0.0895929 + 0.0460152i
\(708\) 0.369156 + 1.61738i 0.0138737 + 0.0607848i
\(709\) 5.18786 4.81363i 0.194834 0.180780i −0.576723 0.816940i \(-0.695669\pi\)
0.771557 + 0.636160i \(0.219478\pi\)
\(710\) 1.58169 0.238401i 0.0593597 0.00894704i
\(711\) −20.8584 + 3.14390i −0.782251 + 0.117905i
\(712\) −20.6163 + 19.1291i −0.772628 + 0.716894i
\(713\) 3.85291 + 16.8807i 0.144292 + 0.632187i
\(714\) 1.79091 + 0.806499i 0.0670232 + 0.0301824i
\(715\) 1.44680 6.33885i 0.0541073 0.237060i
\(716\) 6.18735 + 10.7168i 0.231232 + 0.400506i
\(717\) −3.14459 + 5.44658i −0.117437 + 0.203406i
\(718\) −10.3291 9.58399i −0.385478 0.357671i
\(719\) −16.7707 11.4341i −0.625443 0.426420i 0.208691 0.977982i \(-0.433080\pi\)
−0.834134 + 0.551562i \(0.814032\pi\)
\(720\) 24.1422 + 30.2734i 0.899728 + 1.12822i
\(721\) −2.30142 + 46.8076i −0.0857095 + 1.74321i
\(722\) −8.75525 + 10.9787i −0.325837 + 0.408586i
\(723\) 7.53278 2.32356i 0.280147 0.0864139i
\(724\) 0.766937 + 1.95412i 0.0285030 + 0.0726245i
\(725\) 0.0111352 0.148588i 0.000413549 0.00551843i
\(726\) −0.928140 + 2.36486i −0.0344465 + 0.0877683i
\(727\) 23.6836 + 11.4054i 0.878375 + 0.423003i 0.818031 0.575174i \(-0.195066\pi\)
0.0603445 + 0.998178i \(0.480780\pi\)
\(728\) −5.09582 + 1.71629i −0.188864 + 0.0636100i
\(729\) 20.1508 9.70410i 0.746325 0.359411i
\(730\) −1.33020 17.7503i −0.0492329 0.656968i
\(731\) 4.97211 + 1.53369i 0.183900 + 0.0567257i
\(732\) −0.601190 + 0.409884i −0.0222206 + 0.0151498i
\(733\) 13.6539 + 2.05799i 0.504318 + 0.0760137i 0.396274 0.918132i \(-0.370303\pi\)
0.108044 + 0.994146i \(0.465541\pi\)
\(734\) −42.9074 −1.58374
\(735\) 2.30011 + 5.07756i 0.0848409 + 0.187288i
\(736\) −19.4126 −0.715559
\(737\) 2.38473 + 0.359441i 0.0878428 + 0.0132402i
\(738\) −5.59889 + 3.81726i −0.206098 + 0.140515i
\(739\) 37.6294 + 11.6071i 1.38422 + 0.426975i 0.895343 0.445377i \(-0.146930\pi\)
0.488877 + 0.872353i \(0.337407\pi\)
\(740\) −1.69970 22.6809i −0.0624821 0.833766i
\(741\) 0.869139 0.418556i 0.0319286 0.0153760i
\(742\) −6.51099 4.19843i −0.239026 0.154129i
\(743\) 40.4062 + 19.4586i 1.48236 + 0.713867i 0.987865 0.155315i \(-0.0496391\pi\)
0.494494 + 0.869181i \(0.335353\pi\)
\(744\) 0.823813 2.09904i 0.0302024 0.0769546i
\(745\) −1.56533 + 20.8879i −0.0573493 + 0.765273i
\(746\) −12.2816 31.2930i −0.449662 1.14572i
\(747\) 12.0172 3.70682i 0.439687 0.135626i
\(748\) 1.77066 2.22033i 0.0647416 0.0811834i
\(749\) 11.5544 21.2548i 0.422189 0.776635i
\(750\) −2.31065 2.89746i −0.0843730 0.105800i
\(751\) −2.65822 1.81234i −0.0969999 0.0661334i 0.513849 0.857881i \(-0.328219\pi\)
−0.610849 + 0.791747i \(0.709172\pi\)
\(752\) −36.9399 34.2752i −1.34706 1.24989i
\(753\) −1.67303 + 2.89777i −0.0609686 + 0.105601i
\(754\) 0.0562359 + 0.0974035i 0.00204799 + 0.00354723i
\(755\) 1.66228 7.28294i 0.0604967 0.265053i
\(756\) −0.715619 + 3.55347i −0.0260268 + 0.129239i
\(757\) 9.92475 + 43.4832i 0.360721 + 1.58042i 0.751369 + 0.659883i \(0.229394\pi\)
−0.390648 + 0.920540i \(0.627749\pi\)
\(758\) −14.7403 + 13.6770i −0.535393 + 0.496772i
\(759\) −3.28674 + 0.495396i −0.119301 + 0.0179817i
\(760\) 17.5515 2.64547i 0.636662 0.0959613i
\(761\) 4.73929 4.39742i 0.171799 0.159406i −0.589587 0.807705i \(-0.700710\pi\)
0.761386 + 0.648298i \(0.224519\pi\)
\(762\) 0.752706 + 3.29782i 0.0272677 + 0.119467i
\(763\) −10.7180 41.9627i −0.388018 1.51915i
\(764\) −2.88854 + 12.6555i −0.104504 + 0.457860i
\(765\) 5.86779 + 10.1633i 0.212150 + 0.367455i
\(766\) −14.8893 + 25.7891i −0.537974 + 0.931798i
\(767\) −5.24776 4.86921i −0.189486 0.175817i
\(768\) 3.98524 + 2.71709i 0.143805 + 0.0980446i
\(769\) 11.2035 + 14.0487i 0.404007 + 0.506609i 0.941664 0.336555i \(-0.109262\pi\)
−0.537657 + 0.843164i \(0.680690\pi\)
\(770\) 28.2496 5.00268i 1.01804 0.180284i
\(771\) 1.57810 1.97887i 0.0568338 0.0712673i
\(772\) 16.9455 5.22699i 0.609881 0.188123i
\(773\) 10.1691