Properties

Label 384.2.w.a.11.6
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.6
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30952 + 0.533994i) q^{2} +(1.15242 + 1.29303i) q^{3} +(1.42970 - 1.39855i) q^{4} +(3.25884 + 1.74189i) q^{5} +(-2.19959 - 1.07787i) q^{6} +(-3.48323 - 0.692857i) q^{7} +(-1.12541 + 2.59489i) q^{8} +(-0.343871 + 2.98023i) q^{9} +O(q^{10})\) \(q+(-1.30952 + 0.533994i) q^{2} +(1.15242 + 1.29303i) q^{3} +(1.42970 - 1.39855i) q^{4} +(3.25884 + 1.74189i) q^{5} +(-2.19959 - 1.07787i) q^{6} +(-3.48323 - 0.692857i) q^{7} +(-1.12541 + 2.59489i) q^{8} +(-0.343871 + 2.98023i) q^{9} +(-5.19768 - 0.540839i) q^{10} +(-4.31500 + 3.54123i) q^{11} +(3.45599 + 0.236933i) q^{12} +(-1.49393 + 0.798522i) q^{13} +(4.93135 - 0.952710i) q^{14} +(1.50322 + 6.22117i) q^{15} +(0.0880889 - 3.99903i) q^{16} +(4.64448 - 1.92380i) q^{17} +(-1.14112 - 4.08630i) q^{18} +(-0.131854 + 0.434666i) q^{19} +(7.09529 - 2.06729i) q^{20} +(-3.11824 - 5.30239i) q^{21} +(3.75960 - 6.94151i) q^{22} +(3.35062 + 2.23881i) q^{23} +(-4.65222 + 1.53521i) q^{24} +(4.80801 + 7.19570i) q^{25} +(1.52993 - 1.84343i) q^{26} +(-4.24982 + 2.98983i) q^{27} +(-5.94897 + 3.88091i) q^{28} +(-2.34537 - 1.92480i) q^{29} +(-5.29057 - 7.34405i) q^{30} +(6.12586 - 6.12586i) q^{31} +(2.02010 + 5.28386i) q^{32} +(-9.55161 - 1.49847i) q^{33} +(-5.05475 + 4.99939i) q^{34} +(-10.1444 - 8.32529i) q^{35} +(3.67638 + 4.74176i) q^{36} +(1.12796 + 3.71840i) q^{37} +(-0.0594425 - 0.639614i) q^{38} +(-2.75415 - 1.01147i) q^{39} +(-8.18752 + 6.49600i) q^{40} +(5.02931 + 3.36048i) q^{41} +(6.91485 + 5.27848i) q^{42} +(-0.0458460 + 0.465482i) q^{43} +(-1.21656 + 11.0977i) q^{44} +(-6.31184 + 9.11310i) q^{45} +(-5.58322 - 1.14256i) q^{46} +(7.08876 - 2.93626i) q^{47} +(5.27239 - 4.49465i) q^{48} +(5.18566 + 2.14797i) q^{49} +(-10.1387 - 6.85549i) q^{50} +(7.83991 + 3.78844i) q^{51} +(-1.01910 + 3.23099i) q^{52} +(-1.49107 + 1.22369i) q^{53} +(3.96868 - 6.18462i) q^{54} +(-20.2303 + 4.02406i) q^{55} +(5.71793 - 8.25885i) q^{56} +(-0.713989 + 0.330424i) q^{57} +(4.09915 + 1.26815i) q^{58} +(-8.41793 - 4.49948i) q^{59} +(10.8498 + 6.79207i) q^{60} +(-1.07839 - 10.9491i) q^{61} +(-4.75078 + 11.2931i) q^{62} +(3.26265 - 10.1426i) q^{63} +(-5.46692 - 5.84061i) q^{64} -6.25941 q^{65} +(13.3082 - 3.13822i) q^{66} +(8.35392 - 0.822789i) q^{67} +(3.94966 - 9.24602i) q^{68} +(0.966449 + 6.91250i) q^{69} +(17.7300 + 5.48511i) q^{70} +(8.02974 + 1.59721i) q^{71} +(-7.34637 - 4.24627i) q^{72} +(0.275936 + 1.38723i) q^{73} +(-3.46269 - 4.26700i) q^{74} +(-3.76345 + 14.5094i) q^{75} +(0.419392 + 0.805848i) q^{76} +(17.4837 - 9.34523i) q^{77} +(4.14674 - 0.146153i) q^{78} +(0.983701 - 2.37486i) q^{79} +(7.25292 - 12.8788i) q^{80} +(-8.76351 - 2.04963i) q^{81} +(-8.38047 - 1.71500i) q^{82} +(-4.62774 + 15.2556i) q^{83} +(-11.8738 - 3.21980i) q^{84} +(18.4866 + 1.82078i) q^{85} +(-0.188528 - 0.634041i) q^{86} +(-0.214019 - 5.25081i) q^{87} +(-4.33298 - 15.1823i) q^{88} +(-3.71345 - 5.55757i) q^{89} +(3.39916 - 15.3043i) q^{90} +(5.75696 - 1.74635i) q^{91} +(7.92148 - 1.48519i) q^{92} +(14.9805 + 0.861399i) q^{93} +(-7.71495 + 7.63046i) q^{94} +(-1.18683 + 1.18683i) q^{95} +(-4.50421 + 8.70127i) q^{96} +(-1.32700 - 1.32700i) q^{97} +(-7.93774 - 0.0437057i) q^{98} +(-9.06986 - 14.0774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30952 + 0.533994i −0.925973 + 0.377591i
\(3\) 1.15242 + 1.29303i 0.665348 + 0.746533i
\(4\) 1.42970 1.39855i 0.714850 0.699277i
\(5\) 3.25884 + 1.74189i 1.45740 + 0.778995i 0.994229 0.107276i \(-0.0342127\pi\)
0.463168 + 0.886271i \(0.346713\pi\)
\(6\) −2.19959 1.07787i −0.897978 0.440040i
\(7\) −3.48323 0.692857i −1.31654 0.261875i −0.513646 0.858002i \(-0.671705\pi\)
−0.802890 + 0.596127i \(0.796705\pi\)
\(8\) −1.12541 + 2.59489i −0.397891 + 0.917433i
\(9\) −0.343871 + 2.98023i −0.114624 + 0.993409i
\(10\) −5.19768 0.540839i −1.64365 0.171028i
\(11\) −4.31500 + 3.54123i −1.30102 + 1.06772i −0.307804 + 0.951450i \(0.599594\pi\)
−0.993218 + 0.116271i \(0.962906\pi\)
\(12\) 3.45599 + 0.236933i 0.997658 + 0.0683967i
\(13\) −1.49393 + 0.798522i −0.414342 + 0.221470i −0.665377 0.746508i \(-0.731729\pi\)
0.251035 + 0.967978i \(0.419229\pi\)
\(14\) 4.93135 0.952710i 1.31796 0.254622i
\(15\) 1.50322 + 6.22117i 0.388131 + 1.60630i
\(16\) 0.0880889 3.99903i 0.0220222 0.999757i
\(17\) 4.64448 1.92380i 1.12645 0.466591i 0.259878 0.965642i \(-0.416318\pi\)
0.866573 + 0.499050i \(0.166318\pi\)
\(18\) −1.14112 4.08630i −0.268964 0.963150i
\(19\) −0.131854 + 0.434666i −0.0302495 + 0.0997192i −0.970765 0.240031i \(-0.922842\pi\)
0.940516 + 0.339750i \(0.110342\pi\)
\(20\) 7.09529 2.06729i 1.58655 0.462260i
\(21\) −3.11824 5.30239i −0.680456 1.15708i
\(22\) 3.75960 6.94151i 0.801549 1.47993i
\(23\) 3.35062 + 2.23881i 0.698652 + 0.466824i 0.853486 0.521116i \(-0.174484\pi\)
−0.154834 + 0.987941i \(0.549484\pi\)
\(24\) −4.65222 + 1.53521i −0.949630 + 0.313373i
\(25\) 4.80801 + 7.19570i 0.961603 + 1.43914i
\(26\) 1.52993 1.84343i 0.300044 0.361527i
\(27\) −4.24982 + 2.98983i −0.817878 + 0.575392i
\(28\) −5.94897 + 3.88091i −1.12425 + 0.733422i
\(29\) −2.34537 1.92480i −0.435525 0.357426i 0.390938 0.920417i \(-0.372151\pi\)
−0.826463 + 0.562991i \(0.809651\pi\)
\(30\) −5.29057 7.34405i −0.965922 1.34083i
\(31\) 6.12586 6.12586i 1.10024 1.10024i 0.105856 0.994382i \(-0.466242\pi\)
0.994382 0.105856i \(-0.0337582\pi\)
\(32\) 2.02010 + 5.28386i 0.357107 + 0.934063i
\(33\) −9.55161 1.49847i −1.66272 0.260850i
\(34\) −5.05475 + 4.99939i −0.866882 + 0.857388i
\(35\) −10.1444 8.32529i −1.71472 1.40723i
\(36\) 3.67638 + 4.74176i 0.612730 + 0.790293i
\(37\) 1.12796 + 3.71840i 0.185436 + 0.611300i 0.999533 + 0.0305710i \(0.00973257\pi\)
−0.814097 + 0.580729i \(0.802767\pi\)
\(38\) −0.0594425 0.639614i −0.00964285 0.103759i
\(39\) −2.75415 1.01147i −0.441016 0.161965i
\(40\) −8.18752 + 6.49600i −1.29456 + 1.02711i
\(41\) 5.02931 + 3.36048i 0.785446 + 0.524818i 0.882417 0.470469i \(-0.155915\pi\)
−0.0969703 + 0.995287i \(0.530915\pi\)
\(42\) 6.91485 + 5.27848i 1.06698 + 0.814487i
\(43\) −0.0458460 + 0.465482i −0.00699145 + 0.0709854i −0.998047 0.0624621i \(-0.980105\pi\)
0.991056 + 0.133447i \(0.0426047\pi\)
\(44\) −1.21656 + 11.0977i −0.183403 + 1.67304i
\(45\) −6.31184 + 9.11310i −0.940913 + 1.35850i
\(46\) −5.58322 1.14256i −0.823201 0.168462i
\(47\) 7.08876 2.93626i 1.03400 0.428298i 0.199847 0.979827i \(-0.435956\pi\)
0.834155 + 0.551530i \(0.185956\pi\)
\(48\) 5.27239 4.49465i 0.761005 0.648746i
\(49\) 5.18566 + 2.14797i 0.740809 + 0.306853i
\(50\) −10.1387 6.85549i −1.43382 0.969512i
\(51\) 7.83991 + 3.78844i 1.09781 + 0.530487i
\(52\) −1.01910 + 3.23099i −0.141323 + 0.448058i
\(53\) −1.49107 + 1.22369i −0.204814 + 0.168087i −0.731209 0.682154i \(-0.761043\pi\)
0.526395 + 0.850240i \(0.323543\pi\)
\(54\) 3.96868 6.18462i 0.540069 0.841621i
\(55\) −20.2303 + 4.02406i −2.72785 + 0.542604i
\(56\) 5.71793 8.25885i 0.764091 1.10364i
\(57\) −0.713989 + 0.330424i −0.0945701 + 0.0437657i
\(58\) 4.09915 + 1.26815i 0.538244 + 0.166516i
\(59\) −8.41793 4.49948i −1.09592 0.585782i −0.178596 0.983922i \(-0.557156\pi\)
−0.917324 + 0.398141i \(0.869656\pi\)
\(60\) 10.8498 + 6.79207i 1.40070 + 0.876852i
\(61\) −1.07839 10.9491i −0.138074 1.40189i −0.775486 0.631365i \(-0.782495\pi\)
0.637412 0.770524i \(-0.280005\pi\)
\(62\) −4.75078 + 11.2931i −0.603350 + 1.43423i
\(63\) 3.26265 10.1426i 0.411056 1.27784i
\(64\) −5.46692 5.84061i −0.683365 0.730077i
\(65\) −6.25941 −0.776384
\(66\) 13.3082 3.13822i 1.63813 0.386288i
\(67\) 8.35392 0.822789i 1.02059 0.100520i 0.426146 0.904654i \(-0.359871\pi\)
0.594447 + 0.804135i \(0.297371\pi\)
\(68\) 3.94966 9.24602i 0.478967 1.12124i
\(69\) 0.966449 + 6.91250i 0.116347 + 0.832167i
\(70\) 17.7300 + 5.48511i 2.11914 + 0.655596i
\(71\) 8.02974 + 1.59721i 0.952954 + 0.189554i 0.646999 0.762491i \(-0.276024\pi\)
0.305956 + 0.952046i \(0.401024\pi\)
\(72\) −7.34637 4.24627i −0.865778 0.500428i
\(73\) 0.275936 + 1.38723i 0.0322959 + 0.162362i 0.993568 0.113240i \(-0.0361228\pi\)
−0.961272 + 0.275602i \(0.911123\pi\)
\(74\) −3.46269 4.26700i −0.402530 0.496029i
\(75\) −3.76345 + 14.5094i −0.434566 + 1.67540i
\(76\) 0.419392 + 0.805848i 0.0481075 + 0.0924371i
\(77\) 17.4837 9.34523i 1.99245 1.06499i
\(78\) 4.14674 0.146153i 0.469525 0.0165485i
\(79\) 0.983701 2.37486i 0.110675 0.267193i −0.858832 0.512258i \(-0.828809\pi\)
0.969507 + 0.245065i \(0.0788092\pi\)
\(80\) 7.25292 12.8788i 0.810901 1.43989i
\(81\) −8.76351 2.04963i −0.973723 0.227737i
\(82\) −8.38047 1.71500i −0.925468 0.189390i
\(83\) −4.62774 + 15.2556i −0.507960 + 1.67452i 0.209409 + 0.977828i \(0.432846\pi\)
−0.717369 + 0.696693i \(0.754654\pi\)
\(84\) −11.8738 3.21980i −1.29554 0.351309i
\(85\) 18.4866 + 1.82078i 2.00516 + 0.197491i
\(86\) −0.188528 0.634041i −0.0203295 0.0683704i
\(87\) −0.214019 5.25081i −0.0229452 0.562946i
\(88\) −4.33298 15.1823i −0.461897 1.61844i
\(89\) −3.71345 5.55757i −0.393625 0.589101i 0.580736 0.814092i \(-0.302765\pi\)
−0.974361 + 0.224991i \(0.927765\pi\)
\(90\) 3.39916 15.3043i 0.358303 1.61321i
\(91\) 5.75696 1.74635i 0.603493 0.183068i
\(92\) 7.92148 1.48519i 0.825871 0.154842i
\(93\) 14.9805 + 0.861399i 1.55340 + 0.0893229i
\(94\) −7.71495 + 7.63046i −0.795736 + 0.787021i
\(95\) −1.18683 + 1.18683i −0.121766 + 0.121766i
\(96\) −4.50421 + 8.70127i −0.459709 + 0.888070i
\(97\) −1.32700 1.32700i −0.134736 0.134736i 0.636522 0.771258i \(-0.280372\pi\)
−0.771258 + 0.636522i \(0.780372\pi\)
\(98\) −7.93774 0.0437057i −0.801833 0.00441494i
\(99\) −9.06986 14.0774i −0.911555 1.41483i
\(100\) 16.9376 + 3.56343i 1.69376 + 0.356343i
\(101\) −1.67143 5.50996i −0.166313 0.548261i 0.833679 0.552250i \(-0.186230\pi\)
−0.999992 + 0.00398844i \(0.998730\pi\)
\(102\) −12.2896 0.774578i −1.21685 0.0766947i
\(103\) 12.2594 8.19147i 1.20796 0.807130i 0.222148 0.975013i \(-0.428693\pi\)
0.985807 + 0.167883i \(0.0536931\pi\)
\(104\) −0.390800 4.77525i −0.0383211 0.468252i
\(105\) −0.925692 22.7113i −0.0903383 2.21639i
\(106\) 1.29915 2.39867i 0.126184 0.232979i
\(107\) −0.523777 + 5.31800i −0.0506355 + 0.514110i 0.936095 + 0.351746i \(0.114412\pi\)
−0.986731 + 0.162364i \(0.948088\pi\)
\(108\) −1.89453 + 10.2182i −0.182301 + 0.983243i
\(109\) 6.49517 + 1.97029i 0.622124 + 0.188719i 0.585582 0.810613i \(-0.300866\pi\)
0.0365416 + 0.999332i \(0.488366\pi\)
\(110\) 24.3432 16.0725i 2.32104 1.53245i
\(111\) −3.50813 + 5.74363i −0.332977 + 0.545162i
\(112\) −3.07759 + 13.8685i −0.290805 + 1.31045i
\(113\) 5.56630 + 2.30564i 0.523633 + 0.216896i 0.628812 0.777557i \(-0.283541\pi\)
−0.105179 + 0.994453i \(0.533541\pi\)
\(114\) 0.758540 0.813964i 0.0710438 0.0762347i
\(115\) 7.01937 + 13.1323i 0.654559 + 1.22459i
\(116\) −6.04511 + 0.528247i −0.561275 + 0.0490465i
\(117\) −1.86606 4.72684i −0.172517 0.436996i
\(118\) 13.4262 + 1.39704i 1.23598 + 0.128608i
\(119\) −17.5107 + 3.48309i −1.60520 + 0.319294i
\(120\) −17.8350 3.10064i −1.62810 0.283048i
\(121\) 3.93293 19.7722i 0.357539 1.79747i
\(122\) 7.25893 + 13.7622i 0.657193 + 1.24598i
\(123\) 1.45065 + 10.3757i 0.130801 + 0.935549i
\(124\) 0.190796 17.3255i 0.0171340 1.55588i
\(125\) 1.32351 + 13.4378i 0.118378 + 1.20192i
\(126\) 1.14354 + 15.0241i 0.101875 + 1.33846i
\(127\) 8.10593i 0.719285i −0.933090 0.359642i \(-0.882899\pi\)
0.933090 0.359642i \(-0.117101\pi\)
\(128\) 10.2779 + 4.72911i 0.908448 + 0.417999i
\(129\) −0.654718 + 0.477149i −0.0576447 + 0.0420106i
\(130\) 8.19684 3.34249i 0.718911 0.293156i
\(131\) −7.23152 + 0.712243i −0.631821 + 0.0622289i −0.408858 0.912598i \(-0.634073\pi\)
−0.222963 + 0.974827i \(0.571573\pi\)
\(132\) −15.7516 + 11.2161i −1.37100 + 0.976235i
\(133\) 0.760440 1.42268i 0.0659385 0.123362i
\(134\) −10.5003 + 5.53840i −0.907086 + 0.478445i
\(135\) −19.0574 + 2.34067i −1.64020 + 0.201453i
\(136\) −0.234857 + 14.2170i −0.0201388 + 1.21910i
\(137\) 1.62225 + 8.15560i 0.138598 + 0.696780i 0.986122 + 0.166023i \(0.0530925\pi\)
−0.847524 + 0.530758i \(0.821907\pi\)
\(138\) −4.95682 8.53600i −0.421953 0.726632i
\(139\) −5.32038 6.48290i −0.451269 0.549872i 0.496830 0.867848i \(-0.334497\pi\)
−0.948099 + 0.317975i \(0.896997\pi\)
\(140\) −26.1468 + 2.28482i −2.20981 + 0.193102i
\(141\) 11.9659 + 5.78221i 1.00771 + 0.486950i
\(142\) −11.3680 + 2.19624i −0.953984 + 0.184305i
\(143\) 3.61856 8.73597i 0.302599 0.730539i
\(144\) 11.8877 + 1.63768i 0.990644 + 0.136473i
\(145\) −4.29041 10.3580i −0.356299 0.860183i
\(146\) −1.10211 1.66925i −0.0912117 0.138149i
\(147\) 3.19864 + 9.18059i 0.263820 + 0.757202i
\(148\) 6.81303 + 3.73867i 0.560028 + 0.307317i
\(149\) 9.29639 + 0.915614i 0.761590 + 0.0750101i 0.471353 0.881945i \(-0.343766\pi\)
0.290237 + 0.956955i \(0.406266\pi\)
\(150\) −2.81960 21.0100i −0.230219 1.71546i
\(151\) −0.102049 + 0.152727i −0.00830462 + 0.0124287i −0.835599 0.549340i \(-0.814879\pi\)
0.827294 + 0.561769i \(0.189879\pi\)
\(152\) −0.979521 0.831324i −0.0794496 0.0674292i
\(153\) 4.13627 + 14.5031i 0.334398 + 1.17251i
\(154\) −17.9050 + 21.5740i −1.44283 + 1.73848i
\(155\) 30.6337 9.29265i 2.46056 0.746403i
\(156\) −5.35220 + 2.40572i −0.428519 + 0.192612i
\(157\) 2.06805 2.51993i 0.165049 0.201112i −0.683918 0.729559i \(-0.739725\pi\)
0.848966 + 0.528447i \(0.177225\pi\)
\(158\) −0.0200158 + 3.63523i −0.00159237 + 0.289203i
\(159\) −3.30060 0.517803i −0.261755 0.0410644i
\(160\) −2.62069 + 20.7380i −0.207184 + 1.63949i
\(161\) −10.1198 10.1198i −0.797550 0.797550i
\(162\) 12.5705 1.99562i 0.987632 0.156791i
\(163\) −5.48258 + 6.68055i −0.429429 + 0.523261i −0.942103 0.335322i \(-0.891155\pi\)
0.512674 + 0.858583i \(0.328655\pi\)
\(164\) 11.8902 2.22929i 0.928470 0.174078i
\(165\) −28.5170 21.5211i −2.22004 1.67541i
\(166\) −2.08627 22.4488i −0.161926 1.74236i
\(167\) −9.16833 + 6.12608i −0.709467 + 0.474051i −0.857205 0.514976i \(-0.827801\pi\)
0.147738 + 0.989027i \(0.452801\pi\)
\(168\) 17.2684 2.12416i 1.33229 0.163882i
\(169\) −5.62822 + 8.42323i −0.432940 + 0.647941i
\(170\) −25.1810 + 7.48741i −1.93129 + 0.574258i
\(171\) −1.25006 0.542425i −0.0955946 0.0414803i
\(172\) 0.585456 + 0.729619i 0.0446406 + 0.0556329i
\(173\) 7.05040 + 2.13871i 0.536032 + 0.162603i 0.546683 0.837340i \(-0.315890\pi\)
−0.0106510 + 0.999943i \(0.503390\pi\)
\(174\) 3.08416 + 6.76177i 0.233810 + 0.512609i
\(175\) −11.7618 28.3955i −0.889109 2.14650i
\(176\) 13.7814 + 17.5678i 1.03881 + 1.32422i
\(177\) −3.88299 16.0699i −0.291863 1.20789i
\(178\) 7.83056 + 5.29481i 0.586925 + 0.396862i
\(179\) −3.55707 6.65481i −0.265868 0.497404i 0.713194 0.700967i \(-0.247248\pi\)
−0.979062 + 0.203563i \(0.934748\pi\)
\(180\) 3.72113 + 21.8564i 0.277356 + 1.62908i
\(181\) −12.9434 15.7715i −0.962073 1.17229i −0.985000 0.172553i \(-0.944799\pi\)
0.0229271 0.999737i \(-0.492701\pi\)
\(182\) −6.60633 + 5.36107i −0.489693 + 0.397389i
\(183\) 12.9148 14.0123i 0.954689 1.03582i
\(184\) −9.58027 + 6.17491i −0.706267 + 0.455221i
\(185\) −2.80117 + 14.0824i −0.205946 + 1.03536i
\(186\) −20.0773 + 6.87147i −1.47214 + 0.503841i
\(187\) −13.2283 + 24.7484i −0.967348 + 1.80978i
\(188\) 6.02828 14.1120i 0.439658 1.02922i
\(189\) 16.8746 7.46973i 1.22745 0.543343i
\(190\) 0.920422 2.18794i 0.0667744 0.158730i
\(191\) 12.9850i 0.939558i −0.882784 0.469779i \(-0.844334\pi\)
0.882784 0.469779i \(-0.155666\pi\)
\(192\) 1.25194 13.7997i 0.0903508 0.995910i
\(193\) 7.24408i 0.521441i 0.965414 + 0.260720i \(0.0839600\pi\)
−0.965414 + 0.260720i \(0.916040\pi\)
\(194\) 2.44634 + 1.02912i 0.175637 + 0.0738868i
\(195\) −7.21345 8.09363i −0.516566 0.579597i
\(196\) 10.4180 4.18147i 0.744143 0.298677i
\(197\) 4.54020 8.49412i 0.323476 0.605181i −0.666649 0.745372i \(-0.732272\pi\)
0.990124 + 0.140191i \(0.0447718\pi\)
\(198\) 19.3944 + 13.5914i 1.37830 + 0.965901i
\(199\) −0.766276 + 3.85233i −0.0543199 + 0.273084i −0.998394 0.0566483i \(-0.981959\pi\)
0.944074 + 0.329733i \(0.106959\pi\)
\(200\) −24.0830 + 4.37819i −1.70293 + 0.309585i
\(201\) 10.6911 + 9.85370i 0.754091 + 0.695026i
\(202\) 5.13106 + 6.32288i 0.361020 + 0.444876i
\(203\) 6.83585 + 8.32951i 0.479783 + 0.584617i
\(204\) 16.5071 5.54822i 1.15573 0.388453i
\(205\) 10.5361 + 19.7117i 0.735876 + 1.37673i
\(206\) −11.6798 + 17.2734i −0.813769 + 1.20349i
\(207\) −7.82434 + 9.21573i −0.543829 + 0.640538i
\(208\) 3.06172 + 6.04461i 0.212292 + 0.419118i
\(209\) −0.970299 2.34251i −0.0671170 0.162035i
\(210\) 13.3399 + 29.2466i 0.920540 + 2.01821i
\(211\) 10.7898 + 3.27304i 0.742798 + 0.225325i 0.638929 0.769266i \(-0.279378\pi\)
0.103869 + 0.994591i \(0.466878\pi\)
\(212\) −0.420387 + 3.83485i −0.0288723 + 0.263379i
\(213\) 7.18835 + 12.2234i 0.492538 + 0.837532i
\(214\) −2.15388 7.24374i −0.147236 0.495172i
\(215\) −0.960222 + 1.43707i −0.0654866 + 0.0980076i
\(216\) −2.97550 14.3926i −0.202457 0.979291i
\(217\) −25.5821 + 17.0934i −1.73663 + 1.16038i
\(218\) −9.55769 + 0.888243i −0.647328 + 0.0601594i
\(219\) −1.47574 + 1.95546i −0.0997209 + 0.132137i
\(220\) −23.2954 + 34.0464i −1.57058 + 2.29541i
\(221\) −5.40232 + 6.58275i −0.363399 + 0.442803i
\(222\) 1.52691 9.39474i 0.102479 0.630534i
\(223\) 8.65899 + 8.65899i 0.579849 + 0.579849i 0.934862 0.355012i \(-0.115523\pi\)
−0.355012 + 0.934862i \(0.615523\pi\)
\(224\) −3.37552 19.8045i −0.225536 1.32325i
\(225\) −23.0982 + 11.8546i −1.53988 + 0.790305i
\(226\) −8.52039 0.0469138i −0.566768 0.00312066i
\(227\) 1.07700 1.31233i 0.0714830 0.0871023i −0.736041 0.676937i \(-0.763307\pi\)
0.807524 + 0.589835i \(0.200807\pi\)
\(228\) −0.558674 + 1.47096i −0.0369991 + 0.0974167i
\(229\) −22.9701 + 6.96789i −1.51790 + 0.460451i −0.935761 0.352634i \(-0.885286\pi\)
−0.582144 + 0.813086i \(0.697786\pi\)
\(230\) −16.2046 13.4488i −1.06850 0.886785i
\(231\) 32.2322 + 11.8374i 2.12072 + 0.778844i
\(232\) 7.63413 3.91981i 0.501205 0.257348i
\(233\) 0.0684183 0.102395i 0.00448223 0.00670813i −0.829222 0.558920i \(-0.811216\pi\)
0.833704 + 0.552212i \(0.186216\pi\)
\(234\) 4.96775 + 5.19344i 0.324752 + 0.339506i
\(235\) 28.2158 + 2.77901i 1.84059 + 0.181283i
\(236\) −18.3279 + 5.34003i −1.19304 + 0.347606i
\(237\) 4.20441 1.46487i 0.273106 0.0951538i
\(238\) 21.0707 13.9118i 1.36581 0.901767i
\(239\) 0.319353 + 0.770988i 0.0206573 + 0.0498710i 0.933872 0.357609i \(-0.116408\pi\)
−0.913214 + 0.407480i \(0.866408\pi\)
\(240\) 25.0110 5.46342i 1.61446 0.352662i
\(241\) 8.60176 20.7665i 0.554088 1.33769i −0.360296 0.932838i \(-0.617324\pi\)
0.914384 0.404849i \(-0.132676\pi\)
\(242\) 5.40796 + 27.9923i 0.347637 + 1.79941i
\(243\) −7.44897 13.6935i −0.477852 0.878441i
\(244\) −16.8547 14.1457i −1.07901 0.905589i
\(245\) 13.1577 + 16.0327i 0.840615 + 1.02429i
\(246\) −7.44024 12.8126i −0.474373 0.816903i
\(247\) −0.150109 0.754649i −0.00955121 0.0480172i
\(248\) 9.00186 + 22.7900i 0.571619 + 1.44717i
\(249\) −25.0591 + 11.5970i −1.58806 + 0.734930i
\(250\) −8.90888 16.8904i −0.563447 1.06824i
\(251\) 8.85634 16.5690i 0.559007 1.04583i −0.430669 0.902510i \(-0.641722\pi\)
0.989677 0.143319i \(-0.0457775\pi\)
\(252\) −9.52030 19.0638i −0.599722 1.20091i
\(253\) −22.3860 + 2.20483i −1.40740 + 0.138617i
\(254\) 4.32852 + 10.6149i 0.271595 + 0.666038i
\(255\) 18.9500 + 26.0021i 1.18669 + 1.62832i
\(256\) −15.9845 0.704540i −0.999030 0.0440338i
\(257\) 14.3009i 0.892064i 0.895017 + 0.446032i \(0.147163\pi\)
−0.895017 + 0.446032i \(0.852837\pi\)
\(258\) 0.602573 0.974453i 0.0375146 0.0606668i
\(259\) −1.35263 13.7335i −0.0840486 0.853360i
\(260\) −8.94909 + 8.75413i −0.554999 + 0.542908i
\(261\) 6.54284 6.32786i 0.404991 0.391685i
\(262\) 9.08951 4.79429i 0.561552 0.296192i
\(263\) 1.31689 6.62047i 0.0812032 0.408236i −0.918708 0.394937i \(-0.870767\pi\)
0.999912 0.0132993i \(-0.00423342\pi\)
\(264\) 14.6378 23.0990i 0.900894 1.42164i
\(265\) −6.99068 + 1.39053i −0.429434 + 0.0854197i
\(266\) −0.236109 + 2.26911i −0.0144768 + 0.139128i
\(267\) 2.90668 11.2063i 0.177886 0.685811i
\(268\) 10.7929 12.8598i 0.659280 0.785534i
\(269\) −2.49935 4.67596i −0.152388 0.285098i 0.794131 0.607747i \(-0.207927\pi\)
−0.946519 + 0.322649i \(0.895427\pi\)
\(270\) 23.7062 13.2417i 1.44271 0.805864i
\(271\) 13.8703 + 5.74525i 0.842558 + 0.348999i 0.761862 0.647740i \(-0.224286\pi\)
0.0806964 + 0.996739i \(0.474286\pi\)
\(272\) −7.28423 18.7429i −0.441671 1.13645i
\(273\) 8.89251 + 5.43141i 0.538199 + 0.328724i
\(274\) −6.47942 9.81368i −0.391436 0.592866i
\(275\) −46.2282 14.0232i −2.78767 0.845629i
\(276\) 11.0492 + 8.53117i 0.665086 + 0.513516i
\(277\) 0.840789 8.53668i 0.0505181 0.512919i −0.936313 0.351166i \(-0.885785\pi\)
0.986831 0.161753i \(-0.0517148\pi\)
\(278\) 10.4290 + 5.64846i 0.625489 + 0.338772i
\(279\) 16.1499 + 20.3630i 0.966872 + 1.21910i
\(280\) 33.0198 16.9543i 1.97331 1.01321i
\(281\) 10.7078 7.15474i 0.638775 0.426816i −0.193560 0.981088i \(-0.562003\pi\)
0.832335 + 0.554272i \(0.187003\pi\)
\(282\) −18.7573 1.18222i −1.11698 0.0704003i
\(283\) −4.71765 15.5520i −0.280435 0.924471i −0.978116 0.208062i \(-0.933284\pi\)
0.697680 0.716409i \(-0.254216\pi\)
\(284\) 13.7139 8.94649i 0.813771 0.530876i
\(285\) −2.90234 0.166888i −0.171920 0.00988561i
\(286\) −0.0736283 + 13.3722i −0.00435373 + 0.790717i
\(287\) −15.1899 15.1899i −0.896631 0.896631i
\(288\) −16.4418 + 4.20340i −0.968840 + 0.247688i
\(289\) 5.84931 5.84931i 0.344077 0.344077i
\(290\) 11.1495 + 11.2729i 0.654720 + 0.661970i
\(291\) 0.186598 3.24510i 0.0109386 0.190231i
\(292\) 2.33462 + 1.59741i 0.136623 + 0.0934811i
\(293\) −22.3590 + 6.78253i −1.30623 + 0.396240i −0.865278 0.501292i \(-0.832858\pi\)
−0.440950 + 0.897532i \(0.645358\pi\)
\(294\) −9.09108 10.3141i −0.530202 0.601533i
\(295\) −19.5951 29.3261i −1.14087 1.70743i
\(296\) −10.9182 1.25776i −0.634610 0.0731061i
\(297\) 7.75030 27.9507i 0.449718 1.62186i
\(298\) −12.6628 + 3.76520i −0.733534 + 0.218112i
\(299\) −6.79332 0.669084i −0.392868 0.0386941i
\(300\) 14.9115 + 26.0074i 0.860919 + 1.50154i
\(301\) 0.482205 1.58962i 0.0277938 0.0916239i
\(302\) 0.0520801 0.254493i 0.00299687 0.0146444i
\(303\) 5.19838 8.51098i 0.298639 0.488943i
\(304\) 1.72663 + 0.565579i 0.0990288 + 0.0324382i
\(305\) 15.5578 37.5598i 0.890836 2.15067i
\(306\) −13.1611 16.7834i −0.752372 0.959445i
\(307\) 24.3387 13.0093i 1.38909 0.742482i 0.404034 0.914744i \(-0.367608\pi\)
0.985051 + 0.172262i \(0.0551076\pi\)
\(308\) 11.9266 37.8128i 0.679583 2.15458i
\(309\) 24.7198 + 6.41183i 1.40626 + 0.364756i
\(310\) −35.1534 + 28.5272i −1.99658 + 1.62023i
\(311\) −0.170908 0.859214i −0.00969132 0.0487216i 0.975637 0.219391i \(-0.0704070\pi\)
−0.985328 + 0.170669i \(0.945407\pi\)
\(312\) 5.72419 6.00839i 0.324068 0.340158i
\(313\) −26.3339 5.23814i −1.48848 0.296077i −0.617177 0.786824i \(-0.711724\pi\)
−0.871302 + 0.490747i \(0.836724\pi\)
\(314\) −1.36253 + 4.40423i −0.0768923 + 0.248545i
\(315\) 28.2996 27.3698i 1.59450 1.54211i
\(316\) −1.91498 4.77110i −0.107726 0.268396i
\(317\) −27.4606 + 2.70463i −1.54234 + 0.151907i −0.833125 0.553085i \(-0.813450\pi\)
−0.709215 + 0.704992i \(0.750950\pi\)
\(318\) 4.59872 1.08443i 0.257883 0.0608117i
\(319\) 16.9364 0.948258
\(320\) −7.64214 28.5564i −0.427208 1.59635i
\(321\) −7.47996 + 5.45129i −0.417491 + 0.304261i
\(322\) 18.6560 + 7.84818i 1.03966 + 0.437362i
\(323\) 0.223817 + 2.27246i 0.0124535 + 0.126443i
\(324\) −15.3957 + 9.32589i −0.855317 + 0.518105i
\(325\) −12.9288 6.91057i −0.717159 0.383329i
\(326\) 3.61220 11.6760i 0.200061 0.646674i
\(327\) 4.93749 + 10.6691i 0.273044 + 0.590000i
\(328\) −14.3801 + 9.26861i −0.794008 + 0.511773i
\(329\) −26.7262 + 5.31616i −1.47346 + 0.293090i
\(330\) 48.8358 + 12.9544i 2.68832 + 0.713118i
\(331\) −26.9807 + 22.1425i −1.48299 + 1.21706i −0.562208 + 0.826996i \(0.690048\pi\)
−0.920787 + 0.390066i \(0.872452\pi\)
\(332\) 14.7195 + 28.2831i 0.807839 + 1.55224i
\(333\) −11.4695 + 2.08294i −0.628527 + 0.114144i
\(334\) 8.73485 12.9181i 0.477950 0.706846i
\(335\) 28.6573 + 11.8702i 1.56571 + 0.648540i
\(336\) −21.4791 + 12.0029i −1.17178 + 0.654810i
\(337\) −3.85922 + 1.59854i −0.210225 + 0.0870781i −0.485311 0.874342i \(-0.661294\pi\)
0.275086 + 0.961420i \(0.411294\pi\)
\(338\) 2.87233 14.0359i 0.156234 0.763450i
\(339\) 3.43343 + 9.85446i 0.186478 + 0.535221i
\(340\) 28.9768 23.2514i 1.57149 1.26099i
\(341\) −4.74001 + 48.1262i −0.256686 + 2.60618i
\(342\) 1.92664 + 0.0427928i 0.104181 + 0.00231397i
\(343\) 4.09597 + 2.73684i 0.221161 + 0.147775i
\(344\) −1.15628 0.642822i −0.0623425 0.0346586i
\(345\) −8.89128 + 24.2102i −0.478691 + 1.30343i
\(346\) −10.3747 + 0.964174i −0.557748 + 0.0518343i
\(347\) 1.68625 + 5.55883i 0.0905227 + 0.298414i 0.990498 0.137528i \(-0.0439156\pi\)
−0.899975 + 0.435941i \(0.856416\pi\)
\(348\) −7.64953 7.20777i −0.410058 0.386377i
\(349\) 26.6352 + 21.8590i 1.42575 + 1.17008i 0.958194 + 0.286120i \(0.0923657\pi\)
0.467557 + 0.883963i \(0.345134\pi\)
\(350\) 30.5654 + 30.9039i 1.63379 + 1.65188i
\(351\) 3.96149 7.86016i 0.211448 0.419544i
\(352\) −27.4281 15.6462i −1.46192 0.833946i
\(353\) 18.0100 18.0100i 0.958576 0.958576i −0.0405999 0.999175i \(-0.512927\pi\)
0.999175 + 0.0405999i \(0.0129269\pi\)
\(354\) 13.6661 + 18.9705i 0.726345 + 1.00827i
\(355\) 23.3855 + 19.1919i 1.24117 + 1.01860i
\(356\) −13.0817 2.75220i −0.693328 0.145866i
\(357\) −24.6834 18.6279i −1.30638 0.985894i
\(358\) 8.21170 + 6.81518i 0.434002 + 0.360193i
\(359\) −8.79171 13.1577i −0.464008 0.694438i 0.523496 0.852028i \(-0.324627\pi\)
−0.987505 + 0.157590i \(0.949627\pi\)
\(360\) −16.5441 26.6345i −0.871951 1.40376i
\(361\) 15.6264 + 10.4412i 0.822441 + 0.549537i
\(362\) 25.3716 + 13.7415i 1.33350 + 0.722238i
\(363\) 30.0985 17.7004i 1.57976 0.929029i
\(364\) 5.78836 10.5482i 0.303392 0.552875i
\(365\) −1.51716 + 5.00139i −0.0794116 + 0.261785i
\(366\) −9.42973 + 25.2459i −0.492900 + 1.31962i
\(367\) 5.44800 2.25663i 0.284383 0.117795i −0.235932 0.971769i \(-0.575814\pi\)
0.520315 + 0.853974i \(0.325814\pi\)
\(368\) 9.24822 13.2020i 0.482097 0.688202i
\(369\) −11.7444 + 13.8329i −0.611390 + 0.720113i
\(370\) −3.85174 19.9371i −0.200242 1.03648i
\(371\) 6.04157 3.22929i 0.313663 0.167656i
\(372\) 22.6223 19.7195i 1.17291 1.02241i
\(373\) 7.01018 5.75310i 0.362973 0.297884i −0.435175 0.900346i \(-0.643313\pi\)
0.798148 + 0.602462i \(0.205813\pi\)
\(374\) 4.10725 39.4724i 0.212381 2.04107i
\(375\) −15.8503 + 17.1973i −0.818507 + 0.888065i
\(376\) −0.358458 + 21.6990i −0.0184860 + 1.11904i
\(377\) 5.04081 + 1.00268i 0.259615 + 0.0516407i
\(378\) −18.1089 + 18.7927i −0.931420 + 0.966593i
\(379\) −7.63738 4.08226i −0.392306 0.209692i 0.263436 0.964677i \(-0.415144\pi\)
−0.655742 + 0.754985i \(0.727644\pi\)
\(380\) −0.0369650 + 3.35666i −0.00189627 + 0.172193i
\(381\) 10.4812 9.34141i 0.536970 0.478575i
\(382\) 6.93389 + 17.0041i 0.354768 + 0.870005i
\(383\) −16.7006 −0.853362 −0.426681 0.904402i \(-0.640317\pi\)
−0.426681 + 0.904402i \(0.640317\pi\)
\(384\) 5.72953 + 18.7396i 0.292384 + 0.956301i
\(385\) 73.2548 3.73341
\(386\) −3.86830 9.48629i −0.196891 0.482840i
\(387\) −1.37148 0.296697i −0.0697161 0.0150820i
\(388\) −3.75308 0.0413306i −0.190534 0.00209824i
\(389\) −0.573814 0.306710i −0.0290935 0.0155508i 0.456786 0.889577i \(-0.349001\pi\)
−0.485879 + 0.874026i \(0.661501\pi\)
\(390\) 13.7681 + 6.74685i 0.697176 + 0.341640i
\(391\) 19.8689 + 3.95217i 1.00481 + 0.199870i
\(392\) −11.4097 + 11.0389i −0.576278 + 0.557548i
\(393\) −9.25468 8.52980i −0.466837 0.430271i
\(394\) −1.40969 + 13.5477i −0.0710191 + 0.682522i
\(395\) 7.34246 6.02581i 0.369439 0.303191i
\(396\) −32.6552 7.44178i −1.64099 0.373964i
\(397\) −19.8289 + 10.5987i −0.995182 + 0.531936i −0.886790 0.462172i \(-0.847070\pi\)
−0.108392 + 0.994108i \(0.534570\pi\)
\(398\) −1.05367 5.45390i −0.0528155 0.273379i
\(399\) 2.71592 0.656250i 0.135966 0.0328536i
\(400\) 29.1994 18.5935i 1.45997 0.929677i
\(401\) −27.6993 + 11.4734i −1.38323 + 0.572955i −0.945344 0.326074i \(-0.894274\pi\)
−0.437891 + 0.899028i \(0.644274\pi\)
\(402\) −19.2620 7.19467i −0.960703 0.358837i
\(403\) −4.25997 + 14.0432i −0.212204 + 0.699544i
\(404\) −10.0956 5.54001i −0.502276 0.275626i
\(405\) −24.9886 21.9444i −1.24170 1.09043i
\(406\) −13.3996 7.25738i −0.665012 0.360178i
\(407\) −18.0349 12.0505i −0.893954 0.597321i
\(408\) −18.6537 + 16.0802i −0.923494 + 0.796088i
\(409\) 4.52932 + 6.77861i 0.223961 + 0.335181i 0.926385 0.376577i \(-0.122899\pi\)
−0.702424 + 0.711758i \(0.747899\pi\)
\(410\) −24.3233 20.1867i −1.20124 0.996952i
\(411\) −8.67596 + 11.4963i −0.427954 + 0.567070i
\(412\) 6.07106 28.8568i 0.299100 1.42167i
\(413\) 26.2041 + 21.5051i 1.28942 + 1.05820i
\(414\) 5.32501 16.2464i 0.261710 0.798465i
\(415\) −41.6546 + 41.6546i −2.04474 + 2.04474i
\(416\) −7.23717 6.28062i −0.354832 0.307933i
\(417\) 2.25131 14.3504i 0.110247 0.702744i
\(418\) 2.52152 + 2.54944i 0.123331 + 0.124697i
\(419\) −6.28958 5.16172i −0.307266 0.252167i 0.468105 0.883673i \(-0.344937\pi\)
−0.775371 + 0.631506i \(0.782437\pi\)
\(420\) −33.0864 31.1757i −1.61445 1.52122i
\(421\) 7.25460 + 23.9152i 0.353567 + 1.16556i 0.935799 + 0.352533i \(0.114680\pi\)
−0.582232 + 0.813023i \(0.697820\pi\)
\(422\) −15.8772 + 1.47555i −0.772892 + 0.0718286i
\(423\) 6.31310 + 22.1358i 0.306953 + 1.07628i
\(424\) −1.49728 5.24631i −0.0727144 0.254783i
\(425\) 36.1738 + 24.1706i 1.75469 + 1.17245i
\(426\) −15.9405 12.1683i −0.772321 0.589554i
\(427\) −3.82988 + 38.8854i −0.185341 + 1.88180i
\(428\) 6.68867 + 8.33568i 0.323309 + 0.402920i
\(429\) 15.4660 5.38856i 0.746705 0.260162i
\(430\) 0.490044 2.39463i 0.0236320 0.115479i
\(431\) −7.14653 + 2.96019i −0.344236 + 0.142587i −0.548102 0.836412i \(-0.684649\pi\)
0.203866 + 0.978999i \(0.434649\pi\)
\(432\) 11.5820 + 17.2585i 0.557241 + 0.830351i
\(433\) 0.594480 + 0.246242i 0.0285689 + 0.0118336i 0.396922 0.917852i \(-0.370078\pi\)
−0.368353 + 0.929686i \(0.620078\pi\)
\(434\) 24.3726 36.0449i 1.16992 1.73021i
\(435\) 8.44886 17.4843i 0.405092 0.838310i
\(436\) 12.0417 6.26692i 0.576693 0.300131i
\(437\) −1.41493 + 1.16120i −0.0676852 + 0.0555478i
\(438\) 0.888307 3.34875i 0.0424450 0.160009i
\(439\) −34.4052 + 6.84361i −1.64207 + 0.326628i −0.927753 0.373195i \(-0.878262\pi\)
−0.714316 + 0.699823i \(0.753262\pi\)
\(440\) 12.3253 57.0242i 0.587587 2.71852i
\(441\) −8.18464 + 14.7158i −0.389745 + 0.700753i
\(442\) 3.55932 11.5051i 0.169299 0.547240i
\(443\) 28.5011 + 15.2341i 1.35413 + 0.723796i 0.979131 0.203231i \(-0.0651441\pi\)
0.374996 + 0.927026i \(0.377644\pi\)
\(444\) 3.01722 + 13.1180i 0.143191 + 0.622552i
\(445\) −2.42088 24.5796i −0.114761 1.16519i
\(446\) −15.9630 6.71530i −0.755870 0.317979i
\(447\) 9.52939 + 13.0757i 0.450725 + 0.618460i
\(448\) 14.9958 + 24.1320i 0.708486 + 1.14013i
\(449\) 20.4133 0.963364 0.481682 0.876346i \(-0.340026\pi\)
0.481682 + 0.876346i \(0.340026\pi\)
\(450\) 23.9173 27.8581i 1.12747 1.31324i
\(451\) −33.6017 + 3.30948i −1.58224 + 0.155837i
\(452\) 11.1827 4.48840i 0.525990 0.211117i
\(453\) −0.315084 + 0.0440524i −0.0148039 + 0.00206976i
\(454\) −0.709581 + 2.29364i −0.0333023 + 0.107646i
\(455\) 21.8029 + 4.33688i 1.02214 + 0.203316i
\(456\) −0.0538869 2.22458i −0.00252349 0.104176i
\(457\) −8.11750 40.8094i −0.379721 1.90899i −0.415434 0.909623i \(-0.636370\pi\)
0.0357136 0.999362i \(-0.488630\pi\)
\(458\) 26.3590 21.3905i 1.23168 0.999512i
\(459\) −13.9863 + 22.0620i −0.652826 + 1.02977i
\(460\) 28.4018 + 8.95831i 1.32424 + 0.417683i
\(461\) −21.2053 + 11.3345i −0.987630 + 0.527899i −0.884386 0.466757i \(-0.845422\pi\)
−0.103245 + 0.994656i \(0.532922\pi\)
\(462\) −48.5299 + 1.71045i −2.25781 + 0.0795772i
\(463\) −3.48741 + 8.41935i −0.162074 + 0.391280i −0.983964 0.178365i \(-0.942919\pi\)
0.821891 + 0.569645i \(0.192919\pi\)
\(464\) −7.90392 + 9.20966i −0.366930 + 0.427548i
\(465\) 47.3185 + 28.9015i 2.19435 + 1.34027i
\(466\) −0.0349169 + 0.170624i −0.00161749 + 0.00790399i
\(467\) −8.93856 + 29.4665i −0.413627 + 1.36355i 0.464692 + 0.885472i \(0.346165\pi\)
−0.878320 + 0.478074i \(0.841335\pi\)
\(468\) −9.27865 4.14818i −0.428906 0.191750i
\(469\) −29.6687 2.92211i −1.36997 0.134930i
\(470\) −38.4332 + 11.4279i −1.77279 + 0.527128i
\(471\) 5.64161 0.229947i 0.259952 0.0105954i
\(472\) 21.1492 16.7799i 0.973473 0.772356i
\(473\) −1.45055 2.17091i −0.0666965 0.0998184i
\(474\) −4.72354 + 4.16342i −0.216959 + 0.191232i
\(475\) −3.76168 + 1.14109i −0.172598 + 0.0523570i
\(476\) −20.1637 + 29.4694i −0.924204 + 1.35073i
\(477\) −3.13413 4.86452i −0.143502 0.222731i
\(478\) −0.829903 0.839093i −0.0379589 0.0383792i
\(479\) −15.3619 + 15.3619i −0.701904 + 0.701904i −0.964819 0.262915i \(-0.915316\pi\)
0.262915 + 0.964819i \(0.415316\pi\)
\(480\) −29.8351 + 20.5102i −1.36178 + 0.936159i
\(481\) −4.65432 4.65432i −0.212219 0.212219i
\(482\) −0.175024 + 31.7875i −0.00797211 + 1.44788i
\(483\) 1.42301 24.7474i 0.0647492 1.12605i
\(484\) −22.0296 33.7687i −1.00134 1.53494i
\(485\) −2.01299 6.63594i −0.0914052 0.301323i
\(486\) 17.0669 + 13.9543i 0.774169 + 0.632979i
\(487\) 10.5694 7.06224i 0.478945 0.320021i −0.292557 0.956248i \(-0.594506\pi\)
0.771501 + 0.636228i \(0.219506\pi\)
\(488\) 29.6254 + 9.52388i 1.34108 + 0.431126i
\(489\) −14.9564 + 0.609610i −0.676351 + 0.0275675i
\(490\) −25.7917 13.9691i −1.16515 0.631058i
\(491\) −0.168238 + 1.70815i −0.00759246 + 0.0770876i −0.998234 0.0593998i \(-0.981081\pi\)
0.990642 + 0.136487i \(0.0435813\pi\)
\(492\) 16.5850 + 12.8054i 0.747711 + 0.577311i
\(493\) −14.5960 4.42763i −0.657369 0.199411i
\(494\) 0.599549 + 0.908073i 0.0269750 + 0.0408561i
\(495\) −5.03598 61.6747i −0.226351 2.77207i
\(496\) −23.9579 25.0371i −1.07574 1.12420i
\(497\) −26.8628 11.1269i −1.20496 0.499110i
\(498\) 26.6227 28.5680i 1.19299 1.28016i
\(499\) −3.60017 6.73545i −0.161166 0.301520i 0.788357 0.615218i \(-0.210932\pi\)
−0.949523 + 0.313698i \(0.898432\pi\)
\(500\) 20.6858 + 17.3611i 0.925095 + 0.776410i
\(501\) −18.4870 4.79516i −0.825937 0.214232i
\(502\) −2.74981 + 26.4268i −0.122730 + 1.17948i
\(503\) −2.88199 + 0.573264i −0.128502 + 0.0255606i −0.258922 0.965898i \(-0.583367\pi\)
0.130420 + 0.991459i \(0.458367\pi\)
\(504\) 22.6470 + 19.8807i 1.00878 + 0.885558i
\(505\) 4.15080 20.8675i 0.184708 0.928591i
\(506\) 28.1377 14.8413i 1.25087 0.659776i
\(507\) −17.3776 + 2.42959i −0.771766 + 0.107902i
\(508\) −11.3366 11.5890i −0.502980 0.514181i
\(509\) −3.94356 40.0396i −0.174795 1.77473i −0.537931 0.842989i \(-0.680794\pi\)
0.363135 0.931736i \(-0.381706\pi\)
\(510\) −38.7004 23.9312i −1.71368 1.05969i
\(511\) 5.02320i 0.222213i
\(512\) 21.3083 7.61301i 0.941701 0.336450i
\(513\) −0.739218 2.24147i −0.0326373 0.0989634i
\(514\) −7.63658 18.7273i −0.336835 0.826027i
\(515\) 54.2200 5.34021i 2.38922 0.235318i
\(516\) −0.268731 + 1.59784i −0.0118302 + 0.0703410i
\(517\) −20.1900 + 37.7729i −0.887956 + 1.66125i
\(518\) 9.10493 + 17.2621i 0.400048 + 0.758452i
\(519\) 5.35957 + 11.5811i 0.235259 + 0.508353i
\(520\) 7.04438 16.2425i 0.308917 0.712280i
\(521\) 5.09924 + 25.6356i 0.223402 + 1.12312i 0.915810 + 0.401611i \(0.131549\pi\)
−0.692409 + 0.721505i \(0.743451\pi\)
\(522\) −5.18896 + 11.7803i −0.227114 + 0.515610i
\(523\) 26.5669 + 32.3719i 1.16169 + 1.41552i 0.891681 + 0.452665i \(0.149527\pi\)
0.270009 + 0.962858i \(0.412973\pi\)
\(524\) −9.34280 + 11.1320i −0.408142 + 0.486303i
\(525\) 23.1619 47.9319i 1.01087 2.09192i
\(526\) 1.81079 + 9.37287i 0.0789542 + 0.408677i
\(527\) 16.6665 40.2364i 0.726002 1.75272i
\(528\) −6.83381 + 38.0652i −0.297403 + 1.65657i
\(529\) −2.58736 6.24645i −0.112494 0.271585i
\(530\) 8.41192 5.55392i 0.365390 0.241247i
\(531\) 16.3041 23.5401i 0.707539 1.02155i
\(532\) −0.902499 3.09753i −0.0391283 0.134295i
\(533\) −10.1969 1.00430i −0.441675 0.0435012i
\(534\) 2.17770 + 16.2270i 0.0942384 + 0.702211i
\(535\) −10.9703 + 16.4181i −0.474285 + 0.709818i
\(536\) −7.26650 + 22.6035i −0.313865 + 0.976322i
\(537\) 4.50567 12.2685i 0.194434 0.529426i
\(538\) 5.76989 + 4.78863i 0.248758 + 0.206453i
\(539\) −29.9826 + 9.09512i −1.29144 + 0.391754i
\(540\) −23.9728 + 29.9993i −1.03163 + 1.29096i
\(541\) −1.88639 + 2.29857i −0.0811023 + 0.0988234i −0.811981 0.583684i \(-0.801611\pi\)
0.730878 + 0.682508i \(0.239111\pi\)
\(542\) −21.2313 0.116901i −0.911964 0.00502133i
\(543\) 5.47698 34.9116i 0.235040 1.49820i
\(544\) 19.5474 + 20.6545i 0.838089 + 0.885553i
\(545\) 17.7347 + 17.7347i 0.759670 + 0.759670i
\(546\) −14.5453 2.36401i −0.622481 0.101170i
\(547\) 16.1557 19.6858i 0.690769 0.841704i −0.303020 0.952984i \(-0.597995\pi\)
0.993789 + 0.111280i \(0.0354951\pi\)
\(548\) 13.7254 + 9.39127i 0.586320 + 0.401175i
\(549\) 33.0016 + 0.551228i 1.40848 + 0.0235258i
\(550\) 68.0252 6.32192i 2.90060 0.269568i
\(551\) 1.14589 0.765660i 0.0488166 0.0326182i
\(552\) −19.0248 5.27154i −0.809751 0.224372i
\(553\) −5.07189 + 7.59063i −0.215679 + 0.322786i
\(554\) 3.45750 + 11.6280i 0.146895 + 0.494024i
\(555\) −21.4372 + 12.6068i −0.909957 + 0.535130i
\(556\) −16.6732 1.82777i −0.707103 0.0775146i
\(557\) −35.5035 10.7699i −1.50433 0.456334i −0.572709 0.819759i \(-0.694108\pi\)
−0.931624 + 0.363424i \(0.881608\pi\)
\(558\) −32.0224 18.0418i −1.35562 0.763770i
\(559\) −0.303207 0.732007i −0.0128243 0.0309606i
\(560\) −34.1867 + 39.8344i −1.44465 + 1.68331i
\(561\) −47.2450 + 11.4158i −1.99468 + 0.481977i
\(562\) −10.2016 + 15.0872i −0.430327 + 0.636416i
\(563\) −5.59645 10.4702i −0.235862 0.441267i 0.735946 0.677040i \(-0.236738\pi\)
−0.971808 + 0.235773i \(0.924238\pi\)
\(564\) 25.1944 8.46812i 1.06087 0.356572i
\(565\) 14.1235 + 17.2096i 0.594181 + 0.724011i
\(566\) 14.4826 + 17.8465i 0.608747 + 0.750145i
\(567\) 29.1052 + 13.2112i 1.22230 + 0.554817i
\(568\) −13.1813 + 19.0388i −0.553076 + 0.798849i
\(569\) −7.41201 + 37.2627i −0.310728 + 1.56213i 0.437827 + 0.899059i \(0.355748\pi\)
−0.748554 + 0.663073i \(0.769252\pi\)
\(570\) 3.88979 1.33129i 0.162925 0.0557614i
\(571\) 3.26894 6.11576i 0.136801 0.255936i −0.804187 0.594376i \(-0.797399\pi\)
0.940988 + 0.338440i \(0.109899\pi\)
\(572\) −7.04428 17.5506i −0.294536 0.733827i
\(573\) 16.7900 14.9641i 0.701411 0.625133i
\(574\) 28.0028 + 11.7802i 1.16882 + 0.491696i
\(575\) 34.8743i 1.45436i
\(576\) 19.2863 14.2842i 0.803595 0.595177i
\(577\) 30.9584i 1.28881i 0.764682 + 0.644407i \(0.222896\pi\)
−0.764682 + 0.644407i \(0.777104\pi\)
\(578\) −4.53631 + 10.7833i −0.188686 + 0.448526i
\(579\) −9.36684 + 8.34820i −0.389273 + 0.346939i
\(580\) −20.6202 8.80842i −0.856207 0.365750i
\(581\) 26.6894 49.9324i 1.10726 2.07154i
\(582\) 1.48851 + 4.34918i 0.0617008 + 0.180279i
\(583\) 2.10060 10.5604i 0.0869980 0.437369i
\(584\) −3.91024 0.845167i −0.161807 0.0349733i
\(585\) 2.15243 18.6545i 0.0889921 0.771267i
\(586\) 25.6578 20.8215i 1.05991 0.860127i
\(587\) −12.0482 14.6808i −0.497283 0.605941i 0.462523 0.886608i \(-0.346944\pi\)
−0.959805 + 0.280667i \(0.909444\pi\)
\(588\) 17.4127 + 8.65202i 0.718086 + 0.356803i
\(589\) 1.85498 + 3.47042i 0.0764331 + 0.142996i
\(590\) 41.3202 + 27.9396i 1.70113 + 1.15025i
\(591\) 16.2154 3.91813i 0.667012 0.161170i
\(592\) 14.9693 4.18321i 0.615236 0.171929i
\(593\) −15.8319 38.2216i −0.650138 1.56957i −0.812577 0.582854i \(-0.801936\pi\)
0.162439 0.986719i \(-0.448064\pi\)
\(594\) 4.77630 + 40.7407i 0.195974 + 1.67161i
\(595\) −63.1316 19.1508i −2.58814 0.785105i
\(596\) 14.5716 11.6925i 0.596876 0.478942i
\(597\) −5.86426 + 3.44867i −0.240008 + 0.141145i
\(598\) 9.25330 2.75141i 0.378396 0.112514i
\(599\) −19.3456 + 28.9527i −0.790438 + 1.18297i 0.189148 + 0.981949i \(0.439427\pi\)
−0.979586 + 0.201026i \(0.935573\pi\)
\(600\) −33.4148 26.0947i −1.36415 1.06531i
\(601\) 7.95245 5.31366i 0.324387 0.216749i −0.382704 0.923871i \(-0.625007\pi\)
0.707091 + 0.707122i \(0.250007\pi\)
\(602\) 0.217387 + 2.33913i 0.00886004 + 0.0953359i
\(603\) −0.420575 + 25.1795i −0.0171271 + 1.02539i
\(604\) 0.0676976 + 0.361075i 0.00275458 + 0.0146919i
\(605\) 47.2577 57.5836i 1.92130 2.34111i
\(606\) −2.26258 + 13.9212i −0.0919112 + 0.565511i
\(607\) −0.457301 0.457301i −0.0185613 0.0185613i 0.697765 0.716327i \(-0.254178\pi\)
−0.716327 + 0.697765i \(0.754178\pi\)
\(608\) −2.56307 + 0.181370i −0.103946 + 0.00735551i
\(609\) −2.89258 + 18.4381i −0.117213 + 0.747148i
\(610\) −0.316561 + 57.4932i −0.0128172 + 2.32783i
\(611\) −8.24544 + 10.0471i −0.333575 + 0.406462i
\(612\) 26.1971 + 14.9503i 1.05895 + 0.604331i
\(613\) 19.5781 5.93894i 0.790750 0.239872i 0.131026 0.991379i \(-0.458173\pi\)
0.659725 + 0.751507i \(0.270673\pi\)
\(614\) −24.9252 + 30.0328i −1.00590 + 1.21202i
\(615\) −13.3459 + 36.3397i −0.538159 + 1.46536i
\(616\) 4.57359 + 55.8854i 0.184275 + 2.25169i
\(617\) −19.2956 + 28.8779i −0.776810 + 1.16258i 0.206107 + 0.978530i \(0.433921\pi\)
−0.982917 + 0.184049i \(0.941079\pi\)
\(618\) −35.7950 + 4.80378i −1.43989 + 0.193236i
\(619\) 12.2557 + 1.20708i 0.492596 + 0.0485165i 0.341266 0.939967i \(-0.389144\pi\)
0.151330 + 0.988483i \(0.451644\pi\)
\(620\) 30.8008 56.1287i 1.23699 2.25418i
\(621\) −20.9332 + 0.503228i −0.840018 + 0.0201938i
\(622\) 0.682624 + 1.03390i 0.0273707 + 0.0414555i
\(623\) 9.08419 + 21.9312i 0.363950 + 0.878654i
\(624\) −4.28751 + 10.9248i −0.171638 + 0.437342i
\(625\) −2.53495 + 6.11991i −0.101398 + 0.244797i
\(626\) 37.2820 7.20268i 1.49009 0.287877i
\(627\) 1.91075 3.95418i 0.0763082 0.157915i
\(628\) −0.567563 6.49503i −0.0226482 0.259180i
\(629\) 12.3923 + 15.1000i 0.494112 + 0.602077i
\(630\) −22.4437 + 50.9532i −0.894179 + 2.03002i
\(631\) −5.50047 27.6527i −0.218970 1.10084i −0.921260 0.388947i \(-0.872839\pi\)
0.702290 0.711891i \(-0.252161\pi\)
\(632\) 5.05545 + 5.22528i 0.201095 + 0.207851i
\(633\) 8.20216 + 17.7234i 0.326007 + 0.704443i
\(634\) 34.5160 18.2056i 1.37081 0.723035i
\(635\) 14.1196 26.4159i 0.560319 1.04828i
\(636\) −5.44305 + 3.87577i −0.215831 + 0.153684i
\(637\) −9.46221 + 0.931947i −0.374907 + 0.0369251i
\(638\) −22.1786 + 9.04395i −0.878061 + 0.358053i
\(639\) −7.52126 + 23.3812i −0.297536 + 0.924946i
\(640\) 25.2565 + 33.3144i 0.998350 + 1.31687i
\(641\) 39.4266i 1.55726i −0.627485 0.778628i \(-0.715916\pi\)
0.627485 0.778628i \(-0.284084\pi\)
\(642\) 6.88423 11.1328i 0.271699 0.439378i
\(643\) −3.51166 35.6544i −0.138486 1.40607i −0.773609 0.633663i \(-0.781551\pi\)
0.635123 0.772411i \(-0.280949\pi\)
\(644\) −28.6213 0.315191i −1.12784 0.0124203i
\(645\) −2.96476 + 0.414509i −0.116737 + 0.0163213i
\(646\) −1.50657 2.85632i −0.0592753 0.112380i
\(647\) 8.29060 41.6796i 0.325937 1.63860i −0.376189 0.926543i \(-0.622766\pi\)
0.702126 0.712053i \(-0.252234\pi\)
\(648\) 15.1811 20.4337i 0.596369 0.802711i
\(649\) 52.2570 10.3946i 2.05127 0.408023i
\(650\) 20.6207 + 2.14567i 0.808811 + 0.0841599i
\(651\) −51.5836 13.3798i −2.02172 0.524395i
\(652\) 1.50466 + 17.2189i 0.0589269 + 0.674343i
\(653\) −4.68694 8.76865i −0.183414 0.343144i 0.773364 0.633962i \(-0.218573\pi\)
−0.956778 + 0.290818i \(0.906073\pi\)
\(654\) −12.1630 11.3348i −0.475610 0.443225i
\(655\) −24.8070 10.2754i −0.969290 0.401493i
\(656\) 13.8817 19.8163i 0.541988 0.773698i
\(657\) −4.22913 + 0.345326i −0.164994 + 0.0134724i
\(658\) 32.1597 21.2333i 1.25372 0.827758i
\(659\) 35.5713 + 10.7904i 1.38566 + 0.420336i 0.893068 0.449923i \(-0.148548\pi\)
0.492595 + 0.870259i \(0.336048\pi\)
\(660\) −70.8692 + 9.11387i −2.75858 + 0.354757i
\(661\) 0.525723 5.33775i 0.0204482 0.207615i −0.979532 0.201290i \(-0.935487\pi\)
0.999980 0.00632483i \(-0.00201327\pi\)
\(662\) 23.5079 43.4037i 0.913661 1.68693i
\(663\) −14.7374 + 0.600686i −0.572355 + 0.0233287i
\(664\) −34.3786 29.1772i −1.33415 1.13230i
\(665\) 4.95630 3.31170i 0.192197 0.128422i
\(666\) 13.9073 8.85232i 0.538899 0.343020i
\(667\) −3.54918 11.7001i −0.137425 0.453029i
\(668\) −4.54031 + 21.5809i −0.175670 + 0.834989i
\(669\) −1.21760 + 21.1751i −0.0470751 + 0.818678i
\(670\) −43.8660 0.241529i −1.69469 0.00933106i
\(671\) 43.4265 + 43.4265i 1.67646 + 1.67646i
\(672\) 21.7179 27.1877i 0.837787 1.04879i
\(673\) 3.86031 3.86031i 0.148804 0.148804i −0.628780 0.777584i \(-0.716445\pi\)
0.777584 + 0.628780i \(0.216445\pi\)
\(674\) 4.20013 4.15413i 0.161783 0.160011i
\(675\) −41.9471 16.2053i −1.61454 0.623742i
\(676\) 3.73368 + 19.9141i 0.143603 + 0.765926i
\(677\) −20.6267 + 6.25703i −0.792747 + 0.240477i −0.660585 0.750751i \(-0.729692\pi\)
−0.132161 + 0.991228i \(0.542192\pi\)
\(678\) −9.75838 11.0712i −0.374768 0.425187i
\(679\) 3.70281 + 5.54164i 0.142101 + 0.212669i
\(680\) −25.5297 + 45.9217i −0.979019 + 1.76102i
\(681\) 2.93804 0.119752i 0.112586 0.00458891i
\(682\) −19.4919 65.5535i −0.746385 2.51017i
\(683\) 22.1852 + 2.18505i 0.848893 + 0.0836086i 0.513102 0.858328i \(-0.328496\pi\)
0.335791 + 0.941937i \(0.390996\pi\)
\(684\) −2.54583 + 0.972774i −0.0973421 + 0.0371950i
\(685\) −8.91948 + 29.4036i −0.340796 + 1.12345i
\(686\) −6.82522 1.39673i −0.260588 0.0533274i
\(687\) −35.4808 21.6712i −1.35368 0.826806i
\(688\) 1.85744 + 0.224343i 0.0708142 + 0.00855301i
\(689\) 1.25041 3.01876i 0.0476368 0.115005i
\(690\) −1.28475 36.4517i −0.0489095 1.38769i
\(691\) 22.4026 11.9744i 0.852236 0.455529i 0.0133974 0.999910i \(-0.495735\pi\)
0.838838 + 0.544381i \(0.183235\pi\)
\(692\) 13.0711 6.80265i 0.496888 0.258598i
\(693\) 21.8388 + 55.3189i 0.829586 + 2.10139i
\(694\) −5.17657 6.37896i −0.196500 0.242142i
\(695\) −6.04579 30.3942i −0.229330 1.15292i
\(696\) 13.8661 + 5.35394i 0.525595 + 0.202941i
\(697\) 29.8234 + 5.93224i 1.12964 + 0.224700i
\(698\) −46.5520 14.4018i −1.76202 0.545115i
\(699\) 0.211247 0.0295348i 0.00799008 0.00111711i
\(700\) −56.5286 24.1476i −2.13658 0.912692i
\(701\) 6.88250 0.677867i 0.259948 0.0256027i 0.0327966 0.999462i \(-0.489559\pi\)
0.227152 + 0.973859i \(0.427059\pi\)
\(702\) −0.990376 + 12.4085i −0.0373793 + 0.468328i
\(703\) −1.76499 −0.0665677
\(704\) 44.2727 + 5.84263i 1.66859 + 0.220202i
\(705\) 28.9230 + 39.6865i 1.08930 + 1.49468i
\(706\) −13.9673 + 33.2017i −0.525665 + 1.24956i
\(707\) 2.00435 + 20.3505i 0.0753813 + 0.765359i
\(708\) −28.0262 17.5446i −1.05329 0.659367i
\(709\) −7.22337 3.86097i −0.271279 0.145002i 0.330148 0.943929i \(-0.392901\pi\)
−0.601428 + 0.798927i \(0.705401\pi\)
\(710\) −40.8722 12.6446i −1.53391 0.474543i
\(711\) 6.73937 + 3.74830i 0.252746 + 0.140572i
\(712\) 18.6004 3.38147i 0.697081 0.126726i
\(713\) 34.2400 6.81077i 1.28230 0.255065i
\(714\) 42.2706 + 11.2129i 1.58194 + 0.419633i
\(715\) 27.0094 22.1660i 1.01009 0.828962i
\(716\) −14.3927 4.53963i −0.537879 0.169654i
\(717\) −0.628884 + 1.30143i −0.0234861 + 0.0486029i
\(718\) 18.5391 + 12.5356i 0.691872 + 0.467825i
\(719\) 11.1154 + 4.60415i 0.414535 + 0.171706i 0.580196 0.814477i \(-0.302976\pi\)
−0.165661 + 0.986183i \(0.552976\pi\)
\(720\) 35.8875 + 26.0440i 1.33745 + 0.970602i
\(721\) −48.3778 + 20.0387i −1.80168 + 0.746282i
\(722\) −26.0386 5.32861i −0.969058 0.198310i
\(723\) 36.7646 12.8093i 1.36729 0.476382i
\(724\) −40.5625 4.44657i −1.50749 0.165256i
\(725\) 2.57368 26.1310i 0.0955842 0.970483i
\(726\) −29.9627 + 39.2514i −1.11202 + 1.45676i
\(727\) −30.7533 20.5487i −1.14058 0.762109i −0.165992 0.986127i \(-0.553083\pi\)
−0.974585 + 0.224018i \(0.928083\pi\)
\(728\) −1.94732 + 16.9040i −0.0721724 + 0.626505i
\(729\) 9.12188 25.4124i 0.337847 0.941201i
\(730\) −0.683963 7.35959i −0.0253146 0.272391i
\(731\) 0.682566 + 2.25012i 0.0252456 + 0.0832237i
\(732\) −1.13271 38.0955i −0.0418661 1.40805i
\(733\) −19.8564 16.2957i −0.733413 0.601896i 0.191760 0.981442i \(-0.438580\pi\)
−0.925173 + 0.379545i \(0.876080\pi\)
\(734\) −5.92925 + 5.86431i −0.218852 + 0.216456i
\(735\) −5.56767 + 35.4897i −0.205367 + 1.30906i
\(736\) −5.06097 + 22.2268i −0.186550 + 0.819291i
\(737\) −33.1335 + 33.1335i −1.22049 + 1.22049i
\(738\) 7.99290 24.3860i 0.294223 0.897660i
\(739\) −18.0058 14.7770i −0.662354 0.543580i 0.242046 0.970265i \(-0.422181\pi\)
−0.904401 + 0.426684i \(0.859681\pi\)
\(740\) 15.6902 + 24.0513i 0.576784 + 0.884142i
\(741\) 0.802798 1.06377i 0.0294915 0.0390784i
\(742\) −6.18716 + 7.45499i −0.227138 + 0.273681i
\(743\) −8.02557 12.0111i −0.294430 0.440645i 0.654533 0.756033i \(-0.272865\pi\)
−0.948963 + 0.315388i \(0.897865\pi\)
\(744\) −19.0944 + 37.9033i −0.700034 + 1.38960i
\(745\) 28.7005 + 19.1771i 1.05151 + 0.702594i
\(746\) −6.10787 + 11.2772i −0.223625 + 0.412888i
\(747\) −43.8738 19.0377i −1.60526 0.696552i
\(748\) 15.6995 + 53.8832i 0.574029 + 1.97017i
\(749\) 5.50905 18.1609i 0.201296 0.663585i
\(750\) 11.5731 30.9842i 0.422590 1.13138i
\(751\) 14.6037 6.04903i 0.532895 0.220732i −0.0999756 0.994990i \(-0.531876\pi\)
0.632871 + 0.774258i \(0.281876\pi\)
\(752\) −11.1178 28.6068i −0.405423 1.04318i
\(753\) 31.6305 7.64290i 1.15268 0.278523i
\(754\) −7.13649 + 1.37873i −0.259895 + 0.0502104i
\(755\) −0.598593 + 0.319955i −0.0217850 + 0.0116443i
\(756\) 13.6788 34.2795i 0.497493 1.24673i
\(757\) −6.35011 + 5.21140i −0.230799 + 0.189412i −0.742684 0.669642i \(-0.766447\pi\)
0.511885 + 0.859054i \(0.328947\pi\)
\(758\) 12.1812 + 1.26750i 0.442442 + 0.0460378i
\(759\) −28.6490 26.4050i −1.03989 0.958442i
\(760\) −1.74403 4.41536i −0.0632626 0.160162i
\(761\) 3.54863 + 0.705867i 0.128638 + 0.0255876i 0.258989 0.965880i \(-0.416611\pi\)
−0.130351 + 0.991468i \(0.541611\pi\)
\(762\) −8.73716 + 17.8297i −0.316514 + 0.645902i
\(763\) −21.2590 11.3632i −0.769628 0.411375i
\(764\) −18.1602 18.5646i −0.657012 0.671643i
\(765\) −11.7834 + 54.4683i −0.426028 + 1.96931i
\(766\) 21.8699 8.91803i 0.790190 0.322222i
\(767\) 16.1687 0.583819
\(768\) −17.5098 21.4804i −0.631830 0.775107i
\(769\) −12.2614 −0.442158 −0.221079 0.975256i \(-0.570958\pi\)
−0.221079 + 0.975256i \(0.570958\pi\)
\(770\) −95.9289 + 39.1176i −3.45704 + 1.40970i
\(771\) −18.4915 + 16.4806i −0.665956 + 0.593533i
\(772\) 10.1312 + 10.3569i 0.364632 + 0.372752i
\(773\) 7.71257 + 4.12246i 0.277402 + 0.148274i 0.604231 0.796809i