Properties

Label 483.2.y.a.4.10
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.10
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.327609 - 0.460062i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(0.549806 + 1.58856i) q^{4} +(-0.198810 + 4.17354i) q^{5} +(0.369857 + 0.426838i) q^{6} +(2.54045 + 0.738979i) q^{7} +(1.99478 + 0.585719i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(0.327609 - 0.460062i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(0.549806 + 1.58856i) q^{4} +(-0.198810 + 4.17354i) q^{5} +(0.369857 + 0.426838i) q^{6} +(2.54045 + 0.738979i) q^{7} +(1.99478 + 0.585719i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(1.85495 + 1.45875i) q^{10} +(-3.13960 - 4.40895i) q^{11} +(-1.67340 + 0.159791i) q^{12} +(0.0787052 - 0.547407i) q^{13} +(1.17225 - 0.926671i) q^{14} +(-4.00902 - 1.17715i) q^{15} +(-1.71976 + 1.35243i) q^{16} +(-1.13830 + 0.219389i) q^{17} +(-0.502003 + 0.258801i) q^{18} +(3.13924 + 0.605038i) q^{19} +(-6.73922 + 1.97881i) q^{20} +(-1.31708 + 2.29462i) q^{21} -3.05695 q^{22} +(3.87686 - 2.82311i) q^{23} +(-1.03950 + 1.80046i) q^{24} +(-12.4015 - 1.18420i) q^{25} +(-0.226057 - 0.215545i) q^{26} +(0.654861 - 0.755750i) q^{27} +(0.222845 + 4.44196i) q^{28} +(-2.55233 - 2.94555i) q^{29} +(-1.85495 + 1.45875i) q^{30} +(3.98940 - 3.80388i) q^{31} +(0.256640 + 5.38754i) q^{32} +(5.02485 - 2.01165i) q^{33} +(-0.271984 + 0.595563i) q^{34} +(-3.58922 + 10.4558i) q^{35} +(0.239233 - 1.66390i) q^{36} +(8.01091 + 4.12991i) q^{37} +(1.30680 - 1.24603i) q^{38} +(0.513421 + 0.205543i) q^{39} +(-2.84110 + 8.20883i) q^{40} +(2.12944 + 1.36851i) q^{41} +(0.624181 + 1.35768i) q^{42} +(0.539191 - 0.158321i) q^{43} +(5.27771 - 7.41151i) q^{44} +(2.08913 - 3.61849i) q^{45} +(-0.0287104 - 2.70847i) q^{46} +(3.26385 + 5.65316i) q^{47} +(-0.908863 - 1.99013i) q^{48} +(5.90782 + 3.75468i) q^{49} +(-4.60765 + 5.31751i) q^{50} +(0.0551593 - 1.15794i) q^{51} +(0.912862 - 0.175940i) q^{52} +(-12.0938 - 4.84162i) q^{53} +(-0.133154 - 0.548867i) q^{54} +(19.0251 - 12.2267i) q^{55} +(4.63481 + 2.96209i) q^{56} +(-1.32809 + 2.90810i) q^{57} +(-2.19130 + 0.209244i) q^{58} +(-0.280999 - 0.220980i) q^{59} +(-0.334203 - 7.01578i) q^{60} +(-2.36368 - 9.74321i) q^{61} +(-0.443061 - 3.08155i) q^{62} +(-1.91943 - 1.82093i) q^{63} +(-1.11838 - 0.718740i) q^{64} +(2.26898 + 0.437309i) q^{65} +(0.720703 - 2.97078i) q^{66} +(5.66789 + 0.541218i) q^{67} +(-0.974358 - 1.68764i) q^{68} +(1.82952 + 4.43315i) q^{69} +(3.63444 + 5.07667i) q^{70} +(4.93700 + 10.8105i) q^{71} +(-1.50464 - 1.43467i) q^{72} +(2.79788 + 8.08395i) q^{73} +(4.52446 - 2.33252i) q^{74} +(4.07459 - 11.7728i) q^{75} +(0.764832 + 5.31952i) q^{76} +(-4.71788 - 13.5208i) q^{77} +(0.262764 - 0.168868i) q^{78} +(-7.82987 + 3.13461i) q^{79} +(-5.30253 - 7.44636i) q^{80} +(0.580057 + 0.814576i) q^{81} +(1.32722 - 0.531340i) q^{82} +(-12.0330 + 7.73311i) q^{83} +(-4.36929 - 0.830669i) q^{84} +(-0.689324 - 4.79435i) q^{85} +(0.103806 - 0.299928i) q^{86} +(3.46425 - 1.78594i) q^{87} +(-3.68039 - 10.6338i) q^{88} +(1.39934 + 1.33426i) q^{89} +(-0.980310 - 2.14658i) q^{90} +(0.604469 - 1.33250i) q^{91} +(6.61620 + 4.60647i) q^{92} +(2.75612 + 4.77374i) q^{93} +(3.67007 + 0.350449i) q^{94} +(-3.14926 + 12.9814i) q^{95} +(-5.29618 - 1.02075i) q^{96} +(8.34279 + 5.36158i) q^{97} +(3.66284 - 1.48790i) q^{98} +(0.770289 + 5.35747i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.327609 0.460062i 0.231654 0.325313i −0.682344 0.731031i \(-0.739039\pi\)
0.913998 + 0.405718i \(0.132979\pi\)
\(3\) −0.235759 + 0.971812i −0.136115 + 0.561076i
\(4\) 0.549806 + 1.58856i 0.274903 + 0.794280i
\(5\) −0.198810 + 4.17354i −0.0889105 + 1.86646i 0.311657 + 0.950195i \(0.399116\pi\)
−0.400567 + 0.916267i \(0.631187\pi\)
\(6\) 0.369857 + 0.426838i 0.150994 + 0.174256i
\(7\) 2.54045 + 0.738979i 0.960202 + 0.279308i
\(8\) 1.99478 + 0.585719i 0.705260 + 0.207083i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 1.85495 + 1.45875i 0.586588 + 0.461298i
\(11\) −3.13960 4.40895i −0.946624 1.32935i −0.944208 0.329350i \(-0.893170\pi\)
−0.00241619 0.999997i \(-0.500769\pi\)
\(12\) −1.67340 + 0.159791i −0.483070 + 0.0461276i
\(13\) 0.0787052 0.547407i 0.0218289 0.151823i −0.975992 0.217807i \(-0.930110\pi\)
0.997821 + 0.0659840i \(0.0210186\pi\)
\(14\) 1.17225 0.926671i 0.313297 0.247663i
\(15\) −4.00902 1.17715i −1.03512 0.303940i
\(16\) −1.71976 + 1.35243i −0.429940 + 0.338109i
\(17\) −1.13830 + 0.219389i −0.276078 + 0.0532097i −0.325411 0.945573i \(-0.605503\pi\)
0.0493327 + 0.998782i \(0.484291\pi\)
\(18\) −0.502003 + 0.258801i −0.118323 + 0.0609999i
\(19\) 3.13924 + 0.605038i 0.720191 + 0.138805i 0.536161 0.844115i \(-0.319874\pi\)
0.184029 + 0.982921i \(0.441086\pi\)
\(20\) −6.73922 + 1.97881i −1.50694 + 0.442476i
\(21\) −1.31708 + 2.29462i −0.287411 + 0.500728i
\(22\) −3.05695 −0.651744
\(23\) 3.87686 2.82311i 0.808382 0.588659i
\(24\) −1.03950 + 1.80046i −0.212186 + 0.367517i
\(25\) −12.4015 1.18420i −2.48030 0.236840i
\(26\) −0.226057 0.215545i −0.0443334 0.0422718i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) 0.222845 + 4.44196i 0.0421137 + 0.839452i
\(29\) −2.55233 2.94555i −0.473956 0.546974i 0.467552 0.883966i \(-0.345136\pi\)
−0.941508 + 0.336992i \(0.890591\pi\)
\(30\) −1.85495 + 1.45875i −0.338667 + 0.266330i
\(31\) 3.98940 3.80388i 0.716517 0.683197i −0.241341 0.970440i \(-0.577587\pi\)
0.957858 + 0.287243i \(0.0927388\pi\)
\(32\) 0.256640 + 5.38754i 0.0453680 + 0.952391i
\(33\) 5.02485 2.01165i 0.874715 0.350183i
\(34\) −0.271984 + 0.595563i −0.0466449 + 0.102138i
\(35\) −3.58922 + 10.4558i −0.606689 + 1.76735i
\(36\) 0.239233 1.66390i 0.0398722 0.277317i
\(37\) 8.01091 + 4.12991i 1.31699 + 0.678953i 0.966271 0.257529i \(-0.0829082\pi\)
0.350715 + 0.936482i \(0.385939\pi\)
\(38\) 1.30680 1.24603i 0.211990 0.202133i
\(39\) 0.513421 + 0.205543i 0.0822132 + 0.0329132i
\(40\) −2.84110 + 8.20883i −0.449218 + 1.29793i
\(41\) 2.12944 + 1.36851i 0.332563 + 0.213725i 0.696256 0.717794i \(-0.254848\pi\)
−0.363693 + 0.931519i \(0.618484\pi\)
\(42\) 0.624181 + 1.35768i 0.0963132 + 0.209494i
\(43\) 0.539191 0.158321i 0.0822258 0.0241437i −0.240361 0.970684i \(-0.577266\pi\)
0.322587 + 0.946540i \(0.395448\pi\)
\(44\) 5.27771 7.41151i 0.795645 1.11733i
\(45\) 2.08913 3.61849i 0.311430 0.539412i
\(46\) −0.0287104 2.70847i −0.00423312 0.399343i
\(47\) 3.26385 + 5.65316i 0.476082 + 0.824598i 0.999625 0.0274014i \(-0.00872323\pi\)
−0.523543 + 0.852000i \(0.675390\pi\)
\(48\) −0.908863 1.99013i −0.131183 0.287251i
\(49\) 5.90782 + 3.75468i 0.843974 + 0.536384i
\(50\) −4.60765 + 5.31751i −0.651620 + 0.752010i
\(51\) 0.0551593 1.15794i 0.00772385 0.162143i
\(52\) 0.912862 0.175940i 0.126591 0.0243985i
\(53\) −12.0938 4.84162i −1.66121 0.665047i −0.664589 0.747209i \(-0.731393\pi\)
−0.996619 + 0.0821615i \(0.973818\pi\)
\(54\) −0.133154 0.548867i −0.0181199 0.0746913i
\(55\) 19.0251 12.2267i 2.56534 1.64864i
\(56\) 4.63481 + 2.96209i 0.619352 + 0.395826i
\(57\) −1.32809 + 2.90810i −0.175909 + 0.385188i
\(58\) −2.19130 + 0.209244i −0.287732 + 0.0274751i
\(59\) −0.280999 0.220980i −0.0365830 0.0287692i 0.599700 0.800225i \(-0.295287\pi\)
−0.636283 + 0.771456i \(0.719529\pi\)
\(60\) −0.334203 7.01578i −0.0431454 0.905733i
\(61\) −2.36368 9.74321i −0.302638 1.24749i −0.896543 0.442956i \(-0.853930\pi\)
0.593906 0.804535i \(-0.297585\pi\)
\(62\) −0.443061 3.08155i −0.0562688 0.391358i
\(63\) −1.91943 1.82093i −0.241825 0.229416i
\(64\) −1.11838 0.718740i −0.139798 0.0898425i
\(65\) 2.26898 + 0.437309i 0.281432 + 0.0542415i
\(66\) 0.720703 2.97078i 0.0887124 0.365678i
\(67\) 5.66789 + 0.541218i 0.692443 + 0.0661203i 0.435343 0.900265i \(-0.356627\pi\)
0.257100 + 0.966385i \(0.417233\pi\)
\(68\) −0.974358 1.68764i −0.118158 0.204656i
\(69\) 1.82952 + 4.43315i 0.220249 + 0.533689i
\(70\) 3.63444 + 5.07667i 0.434399 + 0.606778i
\(71\) 4.93700 + 10.8105i 0.585914 + 1.28297i 0.937880 + 0.346960i \(0.112786\pi\)
−0.351965 + 0.936013i \(0.614487\pi\)
\(72\) −1.50464 1.43467i −0.177323 0.169077i
\(73\) 2.79788 + 8.08395i 0.327467 + 0.946155i 0.981795 + 0.189944i \(0.0608306\pi\)
−0.654328 + 0.756211i \(0.727048\pi\)
\(74\) 4.52446 2.33252i 0.525958 0.271150i
\(75\) 4.07459 11.7728i 0.470493 1.35940i
\(76\) 0.764832 + 5.31952i 0.0877323 + 0.610191i
\(77\) −4.71788 13.5208i −0.537653 1.54084i
\(78\) 0.262764 0.168868i 0.0297521 0.0191205i
\(79\) −7.82987 + 3.13461i −0.880929 + 0.352671i −0.767633 0.640890i \(-0.778565\pi\)
−0.113297 + 0.993561i \(0.536141\pi\)
\(80\) −5.30253 7.44636i −0.592841 0.832528i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 1.32722 0.531340i 0.146567 0.0586767i
\(83\) −12.0330 + 7.73311i −1.32079 + 0.848820i −0.995311 0.0967299i \(-0.969162\pi\)
−0.325478 + 0.945549i \(0.605525\pi\)
\(84\) −4.36929 0.830669i −0.476728 0.0906334i
\(85\) −0.689324 4.79435i −0.0747677 0.520021i
\(86\) 0.103806 0.299928i 0.0111937 0.0323421i
\(87\) 3.46425 1.78594i 0.371407 0.191473i
\(88\) −3.68039 10.6338i −0.392331 1.13357i
\(89\) 1.39934 + 1.33426i 0.148329 + 0.141432i 0.760611 0.649208i \(-0.224900\pi\)
−0.612281 + 0.790640i \(0.709748\pi\)
\(90\) −0.980310 2.14658i −0.103334 0.226269i
\(91\) 0.604469 1.33250i 0.0633656 0.139684i
\(92\) 6.61620 + 4.60647i 0.689787 + 0.480258i
\(93\) 2.75612 + 4.77374i 0.285796 + 0.495014i
\(94\) 3.67007 + 0.350449i 0.378539 + 0.0361461i
\(95\) −3.14926 + 12.9814i −0.323107 + 1.33187i
\(96\) −5.29618 1.02075i −0.540539 0.104180i
\(97\) 8.34279 + 5.36158i 0.847082 + 0.544386i 0.890663 0.454664i \(-0.150240\pi\)
−0.0435816 + 0.999050i \(0.513877\pi\)
\(98\) 3.66284 1.48790i 0.370003 0.150300i
\(99\) 0.770289 + 5.35747i 0.0774169 + 0.538446i
\(100\) −4.93726 20.3516i −0.493726 2.03516i
\(101\) −0.392219 8.23368i −0.0390272 0.819282i −0.930519 0.366244i \(-0.880643\pi\)
0.891491 0.453037i \(-0.149660\pi\)
\(102\) −0.514652 0.404727i −0.0509581 0.0400739i
\(103\) −3.67115 + 0.350552i −0.361729 + 0.0345409i −0.274338 0.961633i \(-0.588459\pi\)
−0.0873906 + 0.996174i \(0.527853\pi\)
\(104\) 0.477626 1.04586i 0.0468351 0.102555i
\(105\) −9.31484 5.95309i −0.909035 0.580962i
\(106\) −6.18947 + 3.97773i −0.601175 + 0.386352i
\(107\) −2.50468 10.3244i −0.242136 0.998100i −0.954955 0.296751i \(-0.904097\pi\)
0.712818 0.701349i \(-0.247418\pi\)
\(108\) 1.56060 + 0.624770i 0.150169 + 0.0601185i
\(109\) −3.57704 + 0.689419i −0.342619 + 0.0660343i −0.357658 0.933853i \(-0.616425\pi\)
0.0150396 + 0.999887i \(0.495213\pi\)
\(110\) 0.607752 12.7583i 0.0579469 1.21645i
\(111\) −5.90214 + 6.81143i −0.560206 + 0.646513i
\(112\) −5.36840 + 2.16493i −0.507266 + 0.204567i
\(113\) 1.57743 + 3.45409i 0.148392 + 0.324934i 0.969202 0.246269i \(-0.0792045\pi\)
−0.820809 + 0.571202i \(0.806477\pi\)
\(114\) 0.902816 + 1.56372i 0.0845565 + 0.146456i
\(115\) 11.0116 + 16.7415i 1.02684 + 1.56115i
\(116\) 3.27589 5.67401i 0.304159 0.526819i
\(117\) −0.320792 + 0.450490i −0.0296573 + 0.0416478i
\(118\) −0.193722 + 0.0568820i −0.0178336 + 0.00523642i
\(119\) −3.05392 0.283831i −0.279953 0.0260187i
\(120\) −7.30762 4.69632i −0.667091 0.428713i
\(121\) −5.98399 + 17.2896i −0.544000 + 1.57178i
\(122\) −5.25685 2.10452i −0.475932 0.190535i
\(123\) −1.83197 + 1.74678i −0.165183 + 0.157502i
\(124\) 8.23609 + 4.24600i 0.739623 + 0.381302i
\(125\) 4.43471 30.8441i 0.396652 2.75878i
\(126\) −1.46656 + 0.286501i −0.130652 + 0.0255236i
\(127\) 6.97307 15.2689i 0.618760 1.35490i −0.297658 0.954673i \(-0.596206\pi\)
0.916418 0.400222i \(-0.131067\pi\)
\(128\) −10.7116 + 4.28829i −0.946784 + 0.379035i
\(129\) 0.0267388 + 0.561317i 0.00235422 + 0.0494212i
\(130\) 0.944526 0.900603i 0.0828404 0.0789881i
\(131\) 11.7663 9.25308i 1.02802 0.808446i 0.0463314 0.998926i \(-0.485247\pi\)
0.981691 + 0.190480i \(0.0610045\pi\)
\(132\) 5.95832 + 6.87627i 0.518605 + 0.598502i
\(133\) 7.52798 + 3.85690i 0.652759 + 0.334436i
\(134\) 2.10584 2.43027i 0.181917 0.209944i
\(135\) 3.02396 + 2.88334i 0.260261 + 0.248158i
\(136\) −2.39916 0.229092i −0.205726 0.0196444i
\(137\) 11.4279 19.7938i 0.976355 1.69110i 0.300965 0.953635i \(-0.402691\pi\)
0.675390 0.737461i \(-0.263975\pi\)
\(138\) 2.63889 + 0.610645i 0.224638 + 0.0519816i
\(139\) −4.17807 −0.354380 −0.177190 0.984177i \(-0.556701\pi\)
−0.177190 + 0.984177i \(0.556701\pi\)
\(140\) −18.5830 + 0.0469448i −1.57055 + 0.00396756i
\(141\) −6.26329 + 1.83907i −0.527464 + 0.154877i
\(142\) 6.59092 + 1.27030i 0.553098 + 0.106601i
\(143\) −2.66059 + 1.37163i −0.222490 + 0.114701i
\(144\) 2.14831 0.414052i 0.179025 0.0345043i
\(145\) 12.8008 10.0666i 1.06305 0.835989i
\(146\) 4.63573 + 1.36117i 0.383656 + 0.112652i
\(147\) −5.04167 + 4.85609i −0.415830 + 0.400523i
\(148\) −2.15617 + 14.9965i −0.177236 + 1.23270i
\(149\) −2.56804 + 0.245218i −0.210382 + 0.0200891i −0.199715 0.979854i \(-0.564002\pi\)
−0.0106673 + 0.999943i \(0.503396\pi\)
\(150\) −4.08133 5.73142i −0.333239 0.467969i
\(151\) −9.95558 7.82916i −0.810174 0.637128i 0.124665 0.992199i \(-0.460214\pi\)
−0.934839 + 0.355071i \(0.884457\pi\)
\(152\) 5.90770 + 3.04563i 0.479177 + 0.247033i
\(153\) 1.11229 + 0.326598i 0.0899234 + 0.0264039i
\(154\) −7.76604 2.25902i −0.625805 0.182037i
\(155\) 15.0825 + 17.4061i 1.21146 + 1.39809i
\(156\) −0.0442351 + 0.928609i −0.00354164 + 0.0743482i
\(157\) −1.90970 5.51771i −0.152410 0.440361i 0.842787 0.538247i \(-0.180913\pi\)
−0.995198 + 0.0978859i \(0.968792\pi\)
\(158\) −1.12302 + 4.62915i −0.0893427 + 0.368276i
\(159\) 7.55636 10.6114i 0.599258 0.841540i
\(160\) −22.5361 −1.78164
\(161\) 11.9352 4.30706i 0.940626 0.339444i
\(162\) 0.564787 0.0443739
\(163\) 8.99895 12.6373i 0.704852 0.989827i −0.294563 0.955632i \(-0.595174\pi\)
0.999415 0.0341946i \(-0.0108866\pi\)
\(164\) −1.00318 + 4.13516i −0.0783352 + 0.322902i
\(165\) 7.39669 + 21.3713i 0.575832 + 1.66376i
\(166\) −0.384390 + 8.06935i −0.0298345 + 0.626303i
\(167\) 2.43149 + 2.80609i 0.188155 + 0.217142i 0.841988 0.539497i \(-0.181386\pi\)
−0.653833 + 0.756639i \(0.726840\pi\)
\(168\) −3.97129 + 3.80582i −0.306392 + 0.293625i
\(169\) 12.1799 + 3.57636i 0.936919 + 0.275104i
\(170\) −2.43153 1.25354i −0.186490 0.0961422i
\(171\) −2.51302 1.97626i −0.192176 0.151128i
\(172\) 0.547952 + 0.769491i 0.0417810 + 0.0586732i
\(173\) 6.13135 0.585473i 0.466158 0.0445127i 0.140665 0.990057i \(-0.455076\pi\)
0.325493 + 0.945545i \(0.394470\pi\)
\(174\) 0.313273 2.17886i 0.0237492 0.165179i
\(175\) −30.6304 12.1729i −2.31544 0.920183i
\(176\) 11.3622 + 3.33623i 0.856456 + 0.251478i
\(177\) 0.280999 0.220980i 0.0211212 0.0166099i
\(178\) 1.07228 0.206665i 0.0803708 0.0154902i
\(179\) 1.08671 0.560240i 0.0812248 0.0418743i −0.417136 0.908844i \(-0.636966\pi\)
0.498360 + 0.866970i \(0.333936\pi\)
\(180\) 6.89681 + 1.32925i 0.514058 + 0.0990765i
\(181\) −5.47772 + 1.60840i −0.407156 + 0.119552i −0.478896 0.877872i \(-0.658963\pi\)
0.0717402 + 0.997423i \(0.477145\pi\)
\(182\) −0.415004 0.714633i −0.0307621 0.0529721i
\(183\) 10.0258 0.741130
\(184\) 9.38703 3.36072i 0.692021 0.247755i
\(185\) −18.8290 + 32.6128i −1.38433 + 2.39774i
\(186\) 3.09915 + 0.295933i 0.227240 + 0.0216988i
\(187\) 4.54108 + 4.32991i 0.332077 + 0.316634i
\(188\) −7.18590 + 8.29297i −0.524086 + 0.604827i
\(189\) 2.22213 1.43602i 0.161636 0.104455i
\(190\) 4.94054 + 5.70169i 0.358424 + 0.413644i
\(191\) −4.37849 + 3.44328i −0.316816 + 0.249147i −0.763885 0.645353i \(-0.776710\pi\)
0.447068 + 0.894500i \(0.352468\pi\)
\(192\) 0.962148 0.917407i 0.0694371 0.0662081i
\(193\) −0.112692 2.36570i −0.00811177 0.170287i −0.999288 0.0377348i \(-0.987986\pi\)
0.991176 0.132552i \(-0.0423172\pi\)
\(194\) 5.19983 2.08170i 0.373326 0.149457i
\(195\) −0.959913 + 2.10192i −0.0687408 + 0.150521i
\(196\) −2.71639 + 11.4493i −0.194028 + 0.817806i
\(197\) −0.514461 + 3.57816i −0.0366539 + 0.254933i −0.999907 0.0136633i \(-0.995651\pi\)
0.963253 + 0.268596i \(0.0865598\pi\)
\(198\) 2.71712 + 1.40078i 0.193098 + 0.0995487i
\(199\) 8.25781 7.87381i 0.585381 0.558160i −0.338438 0.940989i \(-0.609899\pi\)
0.923819 + 0.382829i \(0.125050\pi\)
\(200\) −24.0447 9.62603i −1.70021 0.680663i
\(201\) −1.86222 + 5.38052i −0.131351 + 0.379513i
\(202\) −3.91650 2.51698i −0.275564 0.177094i
\(203\) −4.30738 9.36914i −0.302319 0.657585i
\(204\) 1.86978 0.549017i 0.130911 0.0384389i
\(205\) −6.13488 + 8.61523i −0.428479 + 0.601714i
\(206\) −1.04142 + 1.80380i −0.0725595 + 0.125677i
\(207\) −4.73952 + 0.732796i −0.329419 + 0.0509329i
\(208\) 0.604978 + 1.04785i 0.0419477 + 0.0726555i
\(209\) −7.18836 15.7403i −0.497229 1.08878i
\(210\) −5.79041 + 2.33512i −0.399577 + 0.161139i
\(211\) −5.59818 + 6.46065i −0.385395 + 0.444769i −0.914987 0.403483i \(-0.867799\pi\)
0.529592 + 0.848252i \(0.322345\pi\)
\(212\) 1.04197 21.8737i 0.0715628 1.50229i
\(213\) −11.6697 + 2.24916i −0.799597 + 0.154110i
\(214\) −5.57043 2.23006i −0.380787 0.152444i
\(215\) 0.553560 + 2.28181i 0.0377525 + 0.155618i
\(216\) 1.74896 1.12399i 0.119002 0.0764776i
\(217\) 12.9459 6.71551i 0.878823 0.455878i
\(218\) −0.854695 + 1.87152i −0.0578873 + 0.126755i
\(219\) −8.51570 + 0.813151i −0.575438 + 0.0549477i
\(220\) 29.8829 + 23.5002i 2.01471 + 1.58438i
\(221\) 0.0305051 + 0.640381i 0.00205199 + 0.0430767i
\(222\) 1.20009 + 4.94684i 0.0805447 + 0.332010i
\(223\) −0.0559965 0.389464i −0.00374980 0.0260805i 0.987861 0.155343i \(-0.0496482\pi\)
−0.991610 + 0.129262i \(0.958739\pi\)
\(224\) −3.32929 + 13.8764i −0.222448 + 0.927159i
\(225\) 10.4803 + 6.73526i 0.698685 + 0.449018i
\(226\) 2.10588 + 0.405874i 0.140081 + 0.0269984i
\(227\) −2.18061 + 8.98862i −0.144732 + 0.596595i 0.852532 + 0.522676i \(0.175066\pi\)
−0.997264 + 0.0739199i \(0.976449\pi\)
\(228\) −5.34989 0.510853i −0.354305 0.0338320i
\(229\) −7.29204 12.6302i −0.481872 0.834626i 0.517912 0.855434i \(-0.326710\pi\)
−0.999783 + 0.0208076i \(0.993376\pi\)
\(230\) 11.3096 + 0.418647i 0.745734 + 0.0276048i
\(231\) 14.2520 1.39724i 0.937711 0.0919316i
\(232\) −3.36607 7.37066i −0.220993 0.483907i
\(233\) −9.53511 9.09171i −0.624666 0.595617i 0.310177 0.950679i \(-0.399612\pi\)
−0.934843 + 0.355061i \(0.884460\pi\)
\(234\) 0.102159 + 0.295169i 0.00667834 + 0.0192958i
\(235\) −24.2426 + 12.4979i −1.58141 + 0.815273i
\(236\) 0.196545 0.567880i 0.0127940 0.0369659i
\(237\) −1.20029 8.34817i −0.0779670 0.542272i
\(238\) −1.13107 + 1.31201i −0.0733165 + 0.0850449i
\(239\) −3.08131 + 1.98024i −0.199313 + 0.128091i −0.636491 0.771284i \(-0.719615\pi\)
0.437177 + 0.899375i \(0.355978\pi\)
\(240\) 8.48658 3.39751i 0.547806 0.219309i
\(241\) −1.00013 1.40449i −0.0644240 0.0904709i 0.781107 0.624397i \(-0.214655\pi\)
−0.845531 + 0.533926i \(0.820716\pi\)
\(242\) 5.99389 + 8.41724i 0.385302 + 0.541081i
\(243\) −0.928368 + 0.371662i −0.0595548 + 0.0238422i
\(244\) 14.1781 9.11173i 0.907661 0.583318i
\(245\) −16.8448 + 23.9100i −1.07618 + 1.52756i
\(246\) 0.203458 + 1.41508i 0.0129720 + 0.0902222i
\(247\) 0.578277 1.67082i 0.0367949 0.106312i
\(248\) 10.1860 5.25123i 0.646809 0.333453i
\(249\) −4.67825 13.5169i −0.296472 0.856600i
\(250\) −12.7373 12.1450i −0.805580 0.768119i
\(251\) 12.6237 + 27.6421i 0.796802 + 1.74475i 0.656063 + 0.754706i \(0.272221\pi\)
0.140739 + 0.990047i \(0.455052\pi\)
\(252\) 1.83735 4.05029i 0.115742 0.255144i
\(253\) −24.6187 8.22946i −1.54777 0.517382i
\(254\) −4.74020 8.21027i −0.297427 0.515158i
\(255\) 4.82172 + 0.460419i 0.301948 + 0.0288325i
\(256\) −0.909499 + 3.74900i −0.0568437 + 0.234313i
\(257\) 17.4924 + 3.37139i 1.09115 + 0.210302i 0.702925 0.711263i \(-0.251877\pi\)
0.388224 + 0.921565i \(0.373089\pi\)
\(258\) 0.267001 + 0.171591i 0.0166227 + 0.0106828i
\(259\) 17.2994 + 16.4117i 1.07493 + 1.01978i
\(260\) 0.552805 + 3.84484i 0.0342835 + 0.238447i
\(261\) 0.918874 + 3.78765i 0.0568769 + 0.234450i
\(262\) −0.402266 8.44460i −0.0248521 0.521709i
\(263\) −5.79566 4.55776i −0.357376 0.281044i 0.423287 0.905996i \(-0.360876\pi\)
−0.780663 + 0.624952i \(0.785119\pi\)
\(264\) 11.2017 1.06963i 0.689418 0.0658315i
\(265\) 22.6110 49.5113i 1.38898 3.04145i
\(266\) 4.24065 2.19978i 0.260011 0.134877i
\(267\) −1.62656 + 1.04533i −0.0995439 + 0.0639730i
\(268\) 2.25648 + 9.30135i 0.137837 + 0.568170i
\(269\) 14.1629 + 5.66995i 0.863525 + 0.345703i 0.760784 0.649005i \(-0.224815\pi\)
0.102741 + 0.994708i \(0.467239\pi\)
\(270\) 2.31719 0.446601i 0.141020 0.0271793i
\(271\) −1.37432 + 28.8506i −0.0834842 + 1.75255i 0.437715 + 0.899114i \(0.355788\pi\)
−0.521200 + 0.853435i \(0.674515\pi\)
\(272\) 1.66089 1.91677i 0.100706 0.116221i
\(273\) 1.15243 + 0.901579i 0.0697483 + 0.0545661i
\(274\) −5.36247 11.7422i −0.323959 0.709371i
\(275\) 33.7147 + 58.3955i 2.03307 + 3.52138i
\(276\) −6.03645 + 5.34368i −0.363352 + 0.321652i
\(277\) 11.0569 19.1511i 0.664346 1.15068i −0.315117 0.949053i \(-0.602044\pi\)
0.979462 0.201627i \(-0.0646230\pi\)
\(278\) −1.36877 + 1.92217i −0.0820936 + 0.115284i
\(279\) −5.28895 + 1.55298i −0.316641 + 0.0929743i
\(280\) −13.2838 + 18.7546i −0.793861 + 1.12080i
\(281\) −9.33002 5.99604i −0.556582 0.357694i 0.231911 0.972737i \(-0.425502\pi\)
−0.788493 + 0.615043i \(0.789139\pi\)
\(282\) −1.20582 + 3.48400i −0.0718057 + 0.207469i
\(283\) −18.4872 7.40115i −1.09895 0.439953i −0.249902 0.968271i \(-0.580398\pi\)
−0.849046 + 0.528319i \(0.822823\pi\)
\(284\) −14.4588 + 13.7864i −0.857971 + 0.818074i
\(285\) −11.8730 6.12098i −0.703298 0.362575i
\(286\) −0.240598 + 1.67340i −0.0142269 + 0.0989499i
\(287\) 4.39845 + 5.05025i 0.259632 + 0.298107i
\(288\) 2.24060 4.90623i 0.132029 0.289103i
\(289\) −14.5347 + 5.81880i −0.854980 + 0.342282i
\(290\) −0.437634 9.18707i −0.0256988 0.539483i
\(291\) −7.17734 + 6.84358i −0.420743 + 0.401178i
\(292\) −11.3036 + 8.88921i −0.661491 + 0.520202i
\(293\) −18.9507 21.8703i −1.10711 1.27768i −0.957342 0.288958i \(-0.906691\pi\)
−0.149773 0.988720i \(-0.547854\pi\)
\(294\) 0.582408 + 3.91038i 0.0339667 + 0.228058i
\(295\) 0.978134 1.12883i 0.0569492 0.0657228i
\(296\) 13.5610 + 12.9304i 0.788218 + 0.751564i
\(297\) −5.38806 0.514497i −0.312647 0.0298542i
\(298\) −0.728498 + 1.26180i −0.0422008 + 0.0730938i
\(299\) −1.24026 2.34442i −0.0717260 0.135581i
\(300\) 20.9420 1.20909
\(301\) 1.48678 0.00375595i 0.0856968 0.000216489i
\(302\) −6.86344 + 2.01529i −0.394946 + 0.115967i
\(303\) 8.09405 + 1.56000i 0.464991 + 0.0896197i
\(304\) −6.21701 + 3.20509i −0.356570 + 0.183825i
\(305\) 41.1336 7.92785i 2.35530 0.453947i
\(306\) 0.514652 0.404727i 0.0294207 0.0231367i
\(307\) −19.2638 5.65635i −1.09944 0.322825i −0.318811 0.947818i \(-0.603284\pi\)
−0.780630 + 0.624993i \(0.785102\pi\)
\(308\) 18.8847 14.9285i 1.07606 0.850629i
\(309\) 0.524835 3.65031i 0.0298568 0.207659i
\(310\) 12.9491 1.23649i 0.735457 0.0702277i
\(311\) 14.9303 + 20.9666i 0.846617 + 1.18891i 0.980228 + 0.197873i \(0.0634035\pi\)
−0.133611 + 0.991034i \(0.542657\pi\)
\(312\) 0.903770 + 0.710733i 0.0511659 + 0.0402373i
\(313\) −18.0124 9.28601i −1.01812 0.524877i −0.133429 0.991058i \(-0.542599\pi\)
−0.884689 + 0.466182i \(0.845629\pi\)
\(314\) −3.16412 0.929070i −0.178562 0.0524305i
\(315\) 7.98134 7.64878i 0.449697 0.430960i
\(316\) −9.28443 10.7148i −0.522290 0.602755i
\(317\) 0.0899720 1.88874i 0.00505333 0.106082i −0.994931 0.100556i \(-0.967938\pi\)
0.999985 0.00552643i \(-0.00175913\pi\)
\(318\) −2.40638 6.95279i −0.134943 0.389893i
\(319\) −4.97347 + 20.5009i −0.278461 + 1.14783i
\(320\) 3.22203 4.52471i 0.180117 0.252939i
\(321\) 10.6239 0.592968
\(322\) 1.92857 6.90197i 0.107475 0.384632i
\(323\) −3.70613 −0.206215
\(324\) −0.975085 + 1.36931i −0.0541714 + 0.0760730i
\(325\) −1.62430 + 6.69548i −0.0901002 + 0.371398i
\(326\) −2.86579 8.28016i −0.158721 0.458595i
\(327\) 0.173335 3.63875i 0.00958544 0.201223i
\(328\) 3.44620 + 3.97713i 0.190285 + 0.219600i
\(329\) 4.11411 + 16.7735i 0.226818 + 0.924754i
\(330\) 12.2554 + 3.59850i 0.674636 + 0.198091i
\(331\) 6.30610 + 3.25102i 0.346614 + 0.178692i 0.622739 0.782430i \(-0.286020\pi\)
−0.276124 + 0.961122i \(0.589050\pi\)
\(332\) −18.9003 14.8634i −1.03729 0.815734i
\(333\) −5.22795 7.34162i −0.286490 0.402319i
\(334\) 2.08755 0.199337i 0.114226 0.0109073i
\(335\) −3.38562 + 23.5475i −0.184976 + 1.28654i
\(336\) −0.838259 5.72747i −0.0457308 0.312459i
\(337\) −28.3822 8.33378i −1.54608 0.453970i −0.606153 0.795348i \(-0.707288\pi\)
−0.939926 + 0.341378i \(0.889106\pi\)
\(338\) 5.63560 4.43189i 0.306536 0.241063i
\(339\) −3.72862 + 0.718632i −0.202511 + 0.0390308i
\(340\) 7.23713 3.73100i 0.392488 0.202342i
\(341\) −29.2962 5.64638i −1.58648 0.305769i
\(342\) −1.73249 + 0.508705i −0.0936824 + 0.0275076i
\(343\) 12.2339 + 13.9044i 0.660569 + 0.750765i
\(344\) 1.16830 0.0629903
\(345\) −18.8657 + 6.75423i −1.01569 + 0.363635i
\(346\) 1.73933 3.01261i 0.0935070 0.161959i
\(347\) 8.00193 + 0.764092i 0.429566 + 0.0410186i 0.307600 0.951516i \(-0.400474\pi\)
0.121966 + 0.992534i \(0.461080\pi\)
\(348\) 4.74175 + 4.52125i 0.254184 + 0.242364i
\(349\) −14.5262 + 16.7642i −0.777572 + 0.897366i −0.996932 0.0782781i \(-0.975058\pi\)
0.219359 + 0.975644i \(0.429603\pi\)
\(350\) −15.6351 + 10.1039i −0.835729 + 0.540079i
\(351\) −0.362162 0.417957i −0.0193308 0.0223089i
\(352\) 22.9476 18.0462i 1.22311 0.961866i
\(353\) 25.0162 23.8529i 1.33148 1.26956i 0.395065 0.918653i \(-0.370722\pi\)
0.936410 0.350907i \(-0.114127\pi\)
\(354\) −0.00960683 0.201672i −0.000510597 0.0107188i
\(355\) −46.0996 + 18.4555i −2.44672 + 0.979517i
\(356\) −1.35020 + 2.95652i −0.0715603 + 0.156695i
\(357\) 0.995820 2.90092i 0.0527044 0.153533i
\(358\) 0.0982718 0.683495i 0.00519382 0.0361238i
\(359\) 0.0750755 + 0.0387041i 0.00396233 + 0.00204272i 0.460207 0.887812i \(-0.347775\pi\)
−0.456244 + 0.889855i \(0.650806\pi\)
\(360\) 6.28677 5.99443i 0.331342 0.315934i
\(361\) −8.15025 3.26287i −0.428960 0.171730i
\(362\) −1.05458 + 3.04702i −0.0554277 + 0.160148i
\(363\) −15.3915 9.89150i −0.807843 0.519169i
\(364\) 2.44910 + 0.227619i 0.128368 + 0.0119305i
\(365\) −34.2949 + 10.0699i −1.79508 + 0.527082i
\(366\) 3.28455 4.61250i 0.171686 0.241099i
\(367\) 0.875413 1.51626i 0.0456962 0.0791481i −0.842273 0.539052i \(-0.818783\pi\)
0.887969 + 0.459904i \(0.152116\pi\)
\(368\) −2.84921 + 10.0983i −0.148525 + 0.526409i
\(369\) −1.26564 2.19215i −0.0658864 0.114119i
\(370\) 8.83536 + 19.3467i 0.459328 + 1.00579i
\(371\) −27.1458 21.2370i −1.40934 1.10257i
\(372\) −6.06804 + 7.00290i −0.314613 + 0.363083i
\(373\) 1.18457 24.8672i 0.0613347 1.28757i −0.733057 0.680167i \(-0.761907\pi\)
0.794392 0.607406i \(-0.207790\pi\)
\(374\) 3.47973 0.670662i 0.179932 0.0346791i
\(375\) 28.9291 + 11.5815i 1.49389 + 0.598064i
\(376\) 3.19949 + 13.1885i 0.165001 + 0.680145i
\(377\) −1.81329 + 1.16533i −0.0933894 + 0.0600177i
\(378\) 0.0673302 1.49277i 0.00346309 0.0767798i
\(379\) −6.83963 + 14.9767i −0.351328 + 0.769301i 0.648638 + 0.761097i \(0.275339\pi\)
−0.999966 + 0.00820436i \(0.997388\pi\)
\(380\) −22.3533 + 2.13448i −1.14670 + 0.109496i
\(381\) 13.1945 + 10.3763i 0.675976 + 0.531593i
\(382\) 0.149692 + 3.14243i 0.00765892 + 0.160781i
\(383\) 3.54316 + 14.6051i 0.181047 + 0.746286i 0.987843 + 0.155456i \(0.0496846\pi\)
−0.806796 + 0.590830i \(0.798800\pi\)
\(384\) −1.64205 11.4207i −0.0837954 0.582810i
\(385\) 57.3676 17.0022i 2.92372 0.866512i
\(386\) −1.12529 0.723180i −0.0572757 0.0368089i
\(387\) −0.551798 0.106350i −0.0280495 0.00540610i
\(388\) −3.93029 + 16.2009i −0.199530 + 0.822474i
\(389\) 2.20522 + 0.210573i 0.111809 + 0.0106765i 0.150811 0.988563i \(-0.451812\pi\)
−0.0390015 + 0.999239i \(0.512418\pi\)
\(390\) 0.652536 + 1.13023i 0.0330425 + 0.0572312i
\(391\) −3.79367 + 4.06409i −0.191854 + 0.205530i
\(392\) 9.58559 + 10.9501i 0.484146 + 0.553063i
\(393\) 6.21826 + 13.6161i 0.313669 + 0.686840i
\(394\) 1.47763 + 1.40892i 0.0744421 + 0.0709804i
\(395\) −11.5257 33.3014i −0.579923 1.67558i
\(396\) −8.08716 + 4.16922i −0.406395 + 0.209511i
\(397\) −0.667288 + 1.92800i −0.0334902 + 0.0967636i −0.960507 0.278257i \(-0.910243\pi\)
0.927016 + 0.375021i \(0.122364\pi\)
\(398\) −0.917110 6.37864i −0.0459705 0.319732i
\(399\) −5.52297 + 6.40648i −0.276494 + 0.320725i
\(400\) 22.9292 14.7357i 1.14646 0.736785i
\(401\) −20.3039 + 8.12845i −1.01393 + 0.405916i −0.818318 0.574766i \(-0.805093\pi\)
−0.195610 + 0.980682i \(0.562669\pi\)
\(402\) 1.86530 + 2.61944i 0.0930325 + 0.130646i
\(403\) −1.76828 2.48321i −0.0880845 0.123697i
\(404\) 12.8641 5.14999i 0.640011 0.256222i
\(405\) −3.51498 + 2.25894i −0.174661 + 0.112248i
\(406\) −5.72152 1.08775i −0.283954 0.0539841i
\(407\) −6.94247 48.2859i −0.344125 2.39345i
\(408\) 0.788256 2.27752i 0.0390245 0.112754i
\(409\) −2.19568 + 1.13195i −0.108570 + 0.0559715i −0.511656 0.859190i \(-0.670968\pi\)
0.403086 + 0.915162i \(0.367937\pi\)
\(410\) 1.95370 + 5.64485i 0.0964865 + 0.278779i
\(411\) 16.5416 + 15.7724i 0.815936 + 0.777993i
\(412\) −2.57529 5.63911i −0.126876 0.277819i
\(413\) −0.550566 0.769043i −0.0270916 0.0378421i
\(414\) −1.21558 + 2.42054i −0.0597423 + 0.118963i
\(415\) −29.8822 51.7574i −1.46686 2.54067i
\(416\) 2.96938 + 0.283541i 0.145586 + 0.0139017i
\(417\) 0.985018 4.06030i 0.0482365 0.198834i
\(418\) −9.59649 1.84957i −0.469380 0.0904655i
\(419\) −7.42577 4.77225i −0.362773 0.233140i 0.346538 0.938036i \(-0.387357\pi\)
−0.709311 + 0.704896i \(0.750994\pi\)
\(420\) 4.33549 18.0702i 0.211550 0.881737i
\(421\) −3.51479 24.4459i −0.171300 1.19142i −0.876141 0.482055i \(-0.839891\pi\)
0.704841 0.709365i \(-0.251018\pi\)
\(422\) 1.13829 + 4.69208i 0.0554109 + 0.228407i
\(423\) −0.310601 6.52031i −0.0151019 0.317028i
\(424\) −21.2886 16.7415i −1.03386 0.813040i
\(425\) 14.3765 1.37278i 0.697360 0.0665898i
\(426\) −2.78836 + 6.10565i −0.135096 + 0.295820i
\(427\) 1.19521 26.4989i 0.0578404 1.28237i
\(428\) 15.0239 9.65527i 0.726207 0.466705i
\(429\) −0.705708 2.90897i −0.0340719 0.140446i
\(430\) 1.23112 + 0.492868i 0.0593701 + 0.0237682i
\(431\) 37.3221 7.19325i 1.79774 0.346487i 0.822696 0.568482i \(-0.192469\pi\)
0.975048 + 0.221995i \(0.0712568\pi\)
\(432\) −0.104102 + 2.18536i −0.00500860 + 0.105143i
\(433\) −15.2902 + 17.6458i −0.734799 + 0.848003i −0.993003 0.118087i \(-0.962324\pi\)
0.258204 + 0.966090i \(0.416869\pi\)
\(434\) 1.15163 8.15596i 0.0552799 0.391499i
\(435\) 6.76498 + 14.8132i 0.324356 + 0.710240i
\(436\) −3.06186 5.30330i −0.146637 0.253982i
\(437\) 13.8785 6.51675i 0.663898 0.311739i
\(438\) −2.41572 + 4.18415i −0.115428 + 0.199926i
\(439\) 2.58728 3.63333i 0.123484 0.173409i −0.748206 0.663466i \(-0.769085\pi\)
0.871690 + 0.490057i \(0.163024\pi\)
\(440\) 45.1122 13.2461i 2.15064 0.631485i
\(441\) −3.53058 6.04442i −0.168123 0.287829i
\(442\) 0.304609 + 0.195760i 0.0144888 + 0.00931136i
\(443\) 2.33634 6.75041i 0.111003 0.320722i −0.875794 0.482685i \(-0.839662\pi\)
0.986797 + 0.161964i \(0.0517827\pi\)
\(444\) −14.0654 5.63094i −0.667515 0.267233i
\(445\) −5.84680 + 5.57492i −0.277165 + 0.264276i
\(446\) −0.197523 0.101830i −0.00935297 0.00482179i
\(447\) 0.367133 2.55347i 0.0173648 0.120775i
\(448\) −2.31006 2.65239i −0.109140 0.125313i
\(449\) 4.02863 8.82147i 0.190123 0.416311i −0.790434 0.612548i \(-0.790145\pi\)
0.980557 + 0.196237i \(0.0628721\pi\)
\(450\) 6.53207 2.61505i 0.307925 0.123274i
\(451\) −0.651905 13.6852i −0.0306970 0.644409i
\(452\) −4.61975 + 4.40493i −0.217295 + 0.207190i
\(453\) 9.95558 7.82916i 0.467754 0.367846i
\(454\) 3.42093 + 3.94797i 0.160552 + 0.185287i
\(455\) 5.44107 + 2.78769i 0.255081 + 0.130689i
\(456\) −4.35257 + 5.02313i −0.203828 + 0.235230i
\(457\) 11.8397 + 11.2891i 0.553838 + 0.528083i 0.914485 0.404619i \(-0.132596\pi\)
−0.360648 + 0.932702i \(0.617444\pi\)
\(458\) −8.19961 0.782968i −0.383143 0.0365857i
\(459\) −0.579625 + 1.00394i −0.0270546 + 0.0468599i
\(460\) −20.5406 + 26.6971i −0.957712 + 1.24476i
\(461\) 16.2960 0.758979 0.379489 0.925196i \(-0.376100\pi\)
0.379489 + 0.925196i \(0.376100\pi\)
\(462\) 4.02626 7.01454i 0.187318 0.326346i
\(463\) 34.2652 10.0612i 1.59244 0.467582i 0.639009 0.769199i \(-0.279344\pi\)
0.953429 + 0.301617i \(0.0975263\pi\)
\(464\) 8.37306 + 1.61377i 0.388709 + 0.0749176i
\(465\) −20.4713 + 10.5537i −0.949335 + 0.489416i
\(466\) −7.30653 + 1.40822i −0.338469 + 0.0652345i
\(467\) 8.87999 6.98330i 0.410917 0.323149i −0.391211 0.920301i \(-0.627944\pi\)
0.802128 + 0.597152i \(0.203701\pi\)
\(468\) −0.892004 0.261916i −0.0412329 0.0121071i
\(469\) 13.9991 + 5.56339i 0.646417 + 0.256893i
\(470\) −2.19226 + 15.2475i −0.101121 + 0.703315i
\(471\) 5.81240 0.555017i 0.267821 0.0255738i
\(472\) −0.431098 0.605393i −0.0198429 0.0278655i
\(473\) −2.39087 1.88020i −0.109932 0.0864517i
\(474\) −4.23390 2.18273i −0.194470 0.100256i
\(475\) −38.2148 11.2209i −1.75342 0.514850i
\(476\) −1.22818 5.00740i −0.0562937 0.229514i
\(477\) 8.53082 + 9.84509i 0.390599 + 0.450776i
\(478\) −0.0984318 + 2.06634i −0.00450216 + 0.0945121i
\(479\) −5.54891 16.0325i −0.253536 0.732544i −0.997900 0.0647704i \(-0.979368\pi\)
0.744364 0.667774i \(-0.232753\pi\)
\(480\) 5.31309 21.9009i 0.242508 0.999632i
\(481\) 2.89124 4.06018i 0.131829 0.185128i
\(482\) −0.973802 −0.0443555
\(483\) 1.37181 + 12.6142i 0.0624197 + 0.573966i
\(484\) −30.7556 −1.39798
\(485\) −24.0354 + 33.7530i −1.09139 + 1.53264i
\(486\) −0.133154 + 0.548867i −0.00603997 + 0.0248971i
\(487\) 1.79879 + 5.19727i 0.0815111 + 0.235511i 0.978391 0.206763i \(-0.0662930\pi\)
−0.896880 + 0.442274i \(0.854172\pi\)
\(488\) 0.991778 20.8200i 0.0448957 0.942477i
\(489\) 10.1595 + 11.7246i 0.459426 + 0.530206i
\(490\) 5.48158 + 15.5828i 0.247633 + 0.703960i
\(491\) 38.4507 + 11.2902i 1.73526 + 0.509518i 0.987925 0.154932i \(-0.0495159\pi\)
0.747333 + 0.664450i \(0.231334\pi\)
\(492\) −3.78209 1.94980i −0.170510 0.0879039i
\(493\) 3.55154 + 2.79296i 0.159953 + 0.125789i
\(494\) −0.579233 0.813419i −0.0260609 0.0365974i
\(495\) −22.5128 + 2.14971i −1.01187 + 0.0966222i
\(496\) −1.71630 + 11.9372i −0.0770644 + 0.535994i
\(497\) 4.55348 + 31.1120i 0.204251 + 1.39556i
\(498\) −7.75126 2.27598i −0.347342 0.101989i
\(499\) 14.7693 11.6147i 0.661164 0.519945i −0.230252 0.973131i \(-0.573955\pi\)
0.891416 + 0.453186i \(0.149713\pi\)
\(500\) 51.4359 9.91345i 2.30028 0.443343i
\(501\) −3.30024 + 1.70139i −0.147444 + 0.0760126i
\(502\) 16.8527 + 3.24810i 0.752174 + 0.144970i
\(503\) −34.3900 + 10.0978i −1.53337 + 0.450239i −0.936081 0.351784i \(-0.885575\pi\)
−0.597293 + 0.802023i \(0.703757\pi\)
\(504\) −2.76227 4.75660i −0.123041 0.211876i
\(505\) 34.4415 1.53263
\(506\) −11.8514 + 8.63009i −0.526858 + 0.383654i
\(507\) −6.34708 + 10.9935i −0.281884 + 0.488237i
\(508\) 28.0894 + 2.68221i 1.24627 + 0.119004i
\(509\) −1.23871 1.18110i −0.0549047 0.0523515i 0.662130 0.749389i \(-0.269653\pi\)
−0.717035 + 0.697037i \(0.754501\pi\)
\(510\) 1.79146 2.06745i 0.0793272 0.0915484i
\(511\) 1.13403 + 22.6045i 0.0501663 + 0.999964i
\(512\) −13.6849 15.7932i −0.604794 0.697970i
\(513\) 2.51302 1.97626i 0.110953 0.0872541i
\(514\) 7.28173 6.94312i 0.321183 0.306248i
\(515\) −0.733181 15.3914i −0.0323078 0.678225i
\(516\) −0.876985 + 0.351092i −0.0386071 + 0.0154560i
\(517\) 14.6773 32.1388i 0.645507 1.41346i
\(518\) 13.2179 2.58218i 0.580760 0.113455i
\(519\) −0.876551 + 6.09655i −0.0384763 + 0.267609i
\(520\) 4.26996 + 2.20132i 0.187250 + 0.0965341i
\(521\) −21.3141 + 20.3229i −0.933786 + 0.890363i −0.994171 0.107812i \(-0.965616\pi\)
0.0603853 + 0.998175i \(0.480767\pi\)
\(522\) 2.04359 + 0.818128i 0.0894453 + 0.0358085i
\(523\) 7.90525 22.8407i 0.345672 0.998755i −0.629441 0.777048i \(-0.716716\pi\)
0.975113 0.221707i \(-0.0711628\pi\)
\(524\) 21.1682 + 13.6040i 0.924739 + 0.594294i
\(525\) 19.0511 26.8971i 0.831459 1.17389i
\(526\) −3.99556 + 1.17320i −0.174215 + 0.0511541i
\(527\) −3.70660 + 5.20519i −0.161462 + 0.226742i
\(528\) −5.92092 + 10.2553i −0.257675 + 0.446306i
\(529\) 7.06013 21.8896i 0.306962 0.951722i
\(530\) −15.3707 26.6228i −0.667660 1.15642i
\(531\) 0.148503 + 0.325176i 0.00644448 + 0.0141114i
\(532\) −1.98799 + 14.0792i −0.0861905 + 0.610411i
\(533\) 0.916730 1.05796i 0.0397080 0.0458255i
\(534\) −0.0519601 + 1.09078i −0.00224853 + 0.0472025i
\(535\) 43.5873 8.40077i 1.88444 0.363197i
\(536\) 10.9892 + 4.39940i 0.474660 + 0.190025i
\(537\) 0.288245 + 1.18816i 0.0124387 + 0.0512730i
\(538\) 7.24841 4.65827i 0.312501 0.200832i
\(539\) −1.99397 37.8355i −0.0858863 1.62969i
\(540\) −2.91776 + 6.38901i −0.125561 + 0.274939i
\(541\) −36.6576 + 3.50038i −1.57604 + 0.150493i −0.846100 0.533024i \(-0.821056\pi\)
−0.729935 + 0.683517i \(0.760450\pi\)
\(542\) 12.8228 + 10.0840i 0.550787 + 0.433144i
\(543\) −0.271644 5.70251i −0.0116574 0.244718i
\(544\) −1.47410 6.07633i −0.0632016 0.260521i
\(545\) −2.16616 15.0660i −0.0927881 0.645356i
\(546\) 0.792329 0.234825i 0.0339086 0.0100496i
\(547\) −9.13058 5.86787i −0.390395 0.250892i 0.330688 0.943740i \(-0.392719\pi\)
−0.721083 + 0.692848i \(0.756356\pi\)
\(548\) 37.7268 + 7.27124i 1.61161 + 0.310612i
\(549\) −2.36368 + 9.74321i −0.100879 + 0.415830i
\(550\) 37.9108 + 3.62004i 1.61652 + 0.154359i
\(551\) −6.23020 10.7910i −0.265416 0.459713i
\(552\) 1.05291 + 9.91474i 0.0448147 + 0.421999i
\(553\) −22.2078 + 2.17722i −0.944374 + 0.0925848i
\(554\) −5.18837 11.3609i −0.220433 0.482680i
\(555\) −27.2544 25.9870i −1.15688 1.10309i
\(556\) −2.29713 6.63712i −0.0974200 0.281477i
\(557\) 15.4207 7.94993i 0.653397 0.336850i −0.0994525 0.995042i \(-0.531709\pi\)
0.752849 + 0.658193i \(0.228679\pi\)
\(558\) −1.01824 + 2.94202i −0.0431056 + 0.124546i
\(559\) −0.0442287 0.307617i −0.00187067 0.0130108i
\(560\) −7.96813 22.8356i −0.336715 0.964980i
\(561\) −5.27846 + 3.39226i −0.222857 + 0.143221i
\(562\) −5.81515 + 2.32803i −0.245297 + 0.0982022i
\(563\) −2.43901 3.42511i −0.102792 0.144351i 0.759976 0.649951i \(-0.225211\pi\)
−0.862768 + 0.505600i \(0.831271\pi\)
\(564\) −6.36507 8.93848i −0.268018 0.376378i
\(565\) −14.7294 + 5.89676i −0.619670 + 0.248078i
\(566\) −9.46155 + 6.08057i −0.397698 + 0.255585i
\(567\) 0.871654 + 2.49804i 0.0366060 + 0.104908i
\(568\) 3.51628 + 24.4563i 0.147540 + 1.02616i
\(569\) 2.09936 6.06570i 0.0880097 0.254287i −0.892404 0.451238i \(-0.850983\pi\)
0.980413 + 0.196950i \(0.0631038\pi\)
\(570\) −6.70574 + 3.45705i −0.280873 + 0.144800i
\(571\) −3.45192 9.97367i −0.144458 0.417385i 0.849440 0.527685i \(-0.176940\pi\)
−0.993898 + 0.110300i \(0.964819\pi\)
\(572\) −3.64173 3.47238i −0.152268 0.145187i
\(573\) −2.31395 5.06685i −0.0966668 0.211671i
\(574\) 3.76440 0.369055i 0.157123 0.0154041i
\(575\) −51.4221 + 30.4198i −2.14445 + 1.26859i
\(576\) 0.664711 + 1.15131i 0.0276963 + 0.0479714i
\(577\) 7.31189 + 0.698201i 0.304398 + 0.0290665i 0.246138 0.969235i \(-0.420839\pi\)
0.0582606 + 0.998301i \(0.481445\pi\)
\(578\) −2.08467 + 8.59314i −0.0867109 + 0.357427i
\(579\) 2.32559 + 0.448220i 0.0966481 + 0.0186274i
\(580\) 23.0294 + 14.8001i 0.956244 + 0.614541i
\(581\) −36.2838 + 10.7535i −1.50531 + 0.446131i
\(582\) 0.797112 + 5.54404i 0.0330414 + 0.229808i
\(583\) 16.6231 + 68.5216i 0.688460 + 2.83787i
\(584\) 0.846225 + 17.7645i 0.0350171 + 0.735098i
\(585\) −1.81636 1.42840i −0.0750972 0.0590571i
\(586\) −16.2701 + 1.55361i −0.672113 + 0.0641790i
\(587\) −13.0340 + 28.5405i −0.537971 + 1.17799i 0.424205 + 0.905566i \(0.360553\pi\)
−0.962177 + 0.272427i \(0.912174\pi\)
\(588\) −10.4861 5.33909i −0.432441 0.220180i
\(589\) 14.8252 9.52755i 0.610860 0.392576i
\(590\) −0.198885 0.819816i −0.00818798 0.0337513i
\(591\) −3.35601 1.34354i −0.138048 0.0552659i
\(592\) −19.3623 + 3.73178i −0.795785 + 0.153375i
\(593\) 0.534952 11.2300i 0.0219679 0.461162i −0.960905 0.276878i \(-0.910700\pi\)
0.982873 0.184284i \(-0.0589967\pi\)
\(594\) −2.00188 + 2.31029i −0.0821380 + 0.0947923i
\(595\) 1.79173 12.6892i 0.0734538 0.520208i
\(596\) −1.80147 3.94467i −0.0737911 0.161580i
\(597\) 5.70501 + 9.88136i 0.233490 + 0.404417i
\(598\) −1.48490 0.197455i −0.0607219 0.00807452i
\(599\) 7.09052 12.2811i 0.289711 0.501794i −0.684030 0.729454i \(-0.739774\pi\)
0.973741 + 0.227660i \(0.0731075\pi\)
\(600\) 15.0234 21.0975i 0.613329 0.861300i
\(601\) −42.9852 + 12.6216i −1.75340 + 0.514845i −0.991186 0.132477i \(-0.957707\pi\)
−0.762216 + 0.647322i \(0.775889\pi\)
\(602\) 0.485356 0.685244i 0.0197816 0.0279285i
\(603\) −4.78982 3.07823i −0.195057 0.125355i
\(604\) 6.96345 20.1196i 0.283339 0.818654i
\(605\) −70.9692 28.4118i −2.88531 1.15510i
\(606\) 3.36938 3.21270i 0.136872 0.130507i
\(607\) −4.01114 2.06789i −0.162807 0.0839329i 0.374897 0.927066i \(-0.377678\pi\)
−0.537704 + 0.843133i \(0.680708\pi\)
\(608\) −2.45401 + 17.0680i −0.0995234 + 0.692200i
\(609\) 10.1205 1.97710i 0.410105 0.0801163i
\(610\) 9.82842 21.5212i 0.397941 0.871369i
\(611\) 3.35146 1.34172i 0.135586 0.0542803i
\(612\) 0.0927236 + 1.94651i 0.00374813 + 0.0786829i
\(613\) −19.6639 + 18.7495i −0.794218 + 0.757285i −0.974031 0.226415i \(-0.927299\pi\)
0.179813 + 0.983701i \(0.442451\pi\)
\(614\) −8.91326 + 7.00946i −0.359710 + 0.282879i
\(615\) −6.92603 7.99306i −0.279284 0.322311i
\(616\) −1.49172 29.7344i −0.0601031 1.19803i
\(617\) 5.17793 5.97565i 0.208456 0.240571i −0.641888 0.766798i \(-0.721849\pi\)
0.850344 + 0.526228i \(0.176394\pi\)
\(618\) −1.50743 1.43733i −0.0606377 0.0578179i
\(619\) −39.8224 3.80258i −1.60060 0.152838i −0.743768 0.668438i \(-0.766963\pi\)
−0.856830 + 0.515600i \(0.827569\pi\)
\(620\) −19.3582 + 33.5295i −0.777446 + 1.34658i
\(621\) 0.405243 4.77868i 0.0162619 0.191762i
\(622\) 14.5372 0.582890
\(623\) 2.56896 + 4.42372i 0.102923 + 0.177233i
\(624\) −1.16094 + 0.340884i −0.0464750 + 0.0136463i
\(625\) 66.6831 + 12.8521i 2.66732 + 0.514085i
\(626\) −10.1731 + 5.24462i −0.406601 + 0.209617i
\(627\) 16.9913 3.27481i 0.678568 0.130783i
\(628\) 7.71525 6.06734i 0.307872 0.242113i
\(629\) −10.0249 2.94357i −0.399718 0.117368i
\(630\) −0.904156 6.17772i −0.0360224 0.246126i
\(631\) 3.90069 27.1299i 0.155284 1.08002i −0.751896 0.659282i \(-0.770860\pi\)
0.907180 0.420743i \(-0.138231\pi\)
\(632\) −17.4548 + 1.66674i −0.694317 + 0.0662992i
\(633\) −4.95871 6.96353i −0.197091 0.276776i
\(634\) −0.839464 0.660162i −0.0333394 0.0262184i
\(635\) 62.3390 + 32.1380i 2.47385 + 1.27536i
\(636\) 21.0114 + 6.16951i 0.833157 + 0.244637i
\(637\) 2.52032 2.93847i 0.0998586 0.116426i
\(638\) 7.80234 + 9.00438i 0.308898 + 0.356487i
\(639\) 0.565488 11.8710i 0.0223703 0.469611i
\(640\) −15.7678 45.5580i −0.623275 1.80084i
\(641\) 1.63578 6.74278i 0.0646095 0.266324i −0.930340 0.366697i \(-0.880489\pi\)
0.994950 + 0.100373i \(0.0320037\pi\)
\(642\) 3.48048 4.88765i 0.137364 0.192900i
\(643\) −21.0858 −0.831543 −0.415772 0.909469i \(-0.636488\pi\)
−0.415772 + 0.909469i \(0.636488\pi\)
\(644\) 13.4041 + 16.5918i 0.528195 + 0.653807i
\(645\) −2.34799 −0.0924521
\(646\) −1.21416 + 1.70505i −0.0477706 + 0.0670844i
\(647\) 2.43271 10.0278i 0.0956398 0.394233i −0.903791 0.427975i \(-0.859227\pi\)
0.999431 + 0.0337418i \(0.0107424\pi\)
\(648\) 0.679971 + 1.96465i 0.0267118 + 0.0771787i
\(649\) −0.0920658 + 1.93270i −0.00361390 + 0.0758651i
\(650\) 2.54820 + 2.94078i 0.0999486 + 0.115347i
\(651\) 3.47410 + 14.1642i 0.136161 + 0.555138i
\(652\) 25.0227 + 7.34734i 0.979966 + 0.287744i
\(653\) −15.8036 8.14734i −0.618444 0.318830i 0.120380 0.992728i \(-0.461589\pi\)
−0.738825 + 0.673898i \(0.764619\pi\)
\(654\) −1.61726 1.27183i −0.0632400 0.0497325i
\(655\) 36.2788 + 50.9465i 1.41753 + 1.99064i
\(656\) −5.51295 + 0.526423i −0.215245 + 0.0205534i
\(657\) 1.21742 8.46737i 0.0474962 0.330343i
\(658\) 9.06468 + 3.60241i 0.353378 + 0.140436i
\(659\) 2.38642 + 0.700717i 0.0929618 + 0.0272960i 0.327883 0.944718i \(-0.393665\pi\)
−0.234921 + 0.972014i \(0.575483\pi\)
\(660\) −29.8829 + 23.5002i −1.16319 + 0.914744i
\(661\) −17.0839 + 3.29266i −0.664488 + 0.128070i −0.510333 0.859977i \(-0.670478\pi\)
−0.154155 + 0.988047i \(0.549266\pi\)
\(662\) 3.56160 1.83613i 0.138426 0.0713634i
\(663\) −0.629521 0.121330i −0.0244486 0.00471208i
\(664\) −28.5325 + 8.37790i −1.10728 + 0.325126i
\(665\) −17.5936 + 30.6515i −0.682249 + 1.18861i
\(666\) −5.09032 −0.197246
\(667\) −18.2106 4.21398i −0.705118 0.163166i
\(668\) −3.12080 + 5.40538i −0.120747 + 0.209140i
\(669\) 0.391688 + 0.0374016i 0.0151435 + 0.00144603i
\(670\) 9.72417 + 9.27198i 0.375677 + 0.358208i
\(671\) −35.5363 + 41.0111i −1.37186 + 1.58322i
\(672\) −12.7004 6.50694i −0.489928 0.251011i
\(673\) 23.4965 + 27.1164i 0.905723 + 1.04526i 0.998769 + 0.0495986i \(0.0157942\pi\)
−0.0930459 + 0.995662i \(0.529660\pi\)
\(674\) −13.1323 + 10.3274i −0.505838 + 0.397796i
\(675\) −9.01623 + 8.59696i −0.347035 + 0.330897i
\(676\) 1.01535 + 21.3149i 0.0390521 + 0.819804i
\(677\) −21.8216 + 8.73606i −0.838673 + 0.335754i −0.750924 0.660389i \(-0.770392\pi\)
−0.0877489 + 0.996143i \(0.527967\pi\)
\(678\) −0.890913 + 1.95083i −0.0342153 + 0.0749211i
\(679\) 17.2324 + 19.7860i 0.661318 + 0.759317i
\(680\) 1.43310 9.96742i 0.0549568 0.382233i
\(681\) −8.22114 4.23829i −0.315035 0.162412i
\(682\) −12.1954 + 11.6283i −0.466985 + 0.445269i
\(683\) −17.5834 7.03935i −0.672812 0.269353i 0.00999736 0.999950i \(-0.496818\pi\)
−0.682809 + 0.730597i \(0.739242\pi\)
\(684\) 1.75774 5.07865i 0.0672088 0.194187i
\(685\) 80.3380 + 51.6301i 3.06956 + 1.97269i
\(686\) 10.4048 1.07317i 0.397257 0.0409739i
\(687\) 13.9933 4.10881i 0.533879 0.156761i
\(688\) −0.713160 + 1.00149i −0.0271890 + 0.0381816i
\(689\) −3.60218 + 6.23916i −0.137232 + 0.237693i
\(690\) −3.07319 + 10.8921i −0.116994 + 0.414656i
\(691\) 12.9270 + 22.3902i 0.491765 + 0.851762i 0.999955 0.00948306i \(-0.00301860\pi\)
−0.508190 + 0.861245i \(0.669685\pi\)
\(692\) 4.30111 + 9.41813i 0.163504 + 0.358023i
\(693\) −2.00218 + 14.1796i −0.0760564 + 0.538640i
\(694\) 2.97303 3.43106i 0.112855 0.130241i
\(695\) 0.830643 17.4373i 0.0315081 0.661436i
\(696\) 7.95647 1.53348i 0.301589 0.0581265i
\(697\) −2.72418 1.09060i −0.103186 0.0413093i
\(698\) 2.95364 + 12.1751i 0.111797 + 0.460833i
\(699\) 11.0834 7.12288i 0.419213 0.269412i
\(700\) 2.49656 55.3510i 0.0943612 2.09207i
\(701\) −11.0343 + 24.1618i −0.416762 + 0.912580i 0.578531 + 0.815661i \(0.303626\pi\)
−0.995292 + 0.0969198i \(0.969101\pi\)
\(702\) −0.310933 + 0.0296905i −0.0117354 + 0.00112060i
\(703\) 22.6494 + 17.8117i 0.854238 + 0.671780i
\(704\) 0.342380 + 7.18744i 0.0129039 + 0.270887i
\(705\) −6.43021 26.5057i −0.242176 0.998262i
\(706\) −2.77828 19.3234i −0.104562 0.727246i
\(707\) 5.08810 21.2071i 0.191358 0.797576i
\(708\) 0.505536 + 0.324888i 0.0189992 + 0.0122100i
\(709\) 9.57805 + 1.84602i 0.359711 + 0.0693286i 0.365905 0.930652i \(-0.380759\pi\)
−0.00619396 + 0.999981i \(0.501972\pi\)
\(710\) −6.61197 + 27.2549i −0.248143 + 1.02286i
\(711\) 8.39583 + 0.801704i 0.314868 + 0.0300663i
\(712\) 2.00986 + 3.48118i 0.0753227 + 0.130463i
\(713\) 4.72758 26.0096i 0.177049 0.974068i
\(714\) −1.00837 1.40851i −0.0377371 0.0527120i
\(715\) −5.19560 11.3768i −0.194304 0.425467i
\(716\) 1.48746 + 1.41829i 0.0555889 + 0.0530039i
\(717\) −1.19797 3.46131i −0.0447391 0.129265i
\(718\) 0.0424017 0.0218596i 0.00158242 0.000815793i
\(719\) 2.70476 7.81488i 0.100870 0.291446i −0.883262 0.468879i \(-0.844658\pi\)
0.984133 + 0.177433i \(0.0567793\pi\)
\(720\) 1.30096 + 9.04835i 0.0484838 + 0.337212i
\(721\) −9.58544 1.82234i −0.356980 0.0678675i
\(722\) −4.17122 + 2.68068i −0.155237 + 0.0997645i
\(723\) 1.60068 0.640818i 0.0595301 0.0238323i
\(724\) −5.56673 7.81738i −0.206886 0.290531i
\(725\) 28.1646 + 39.5517i 1.04601 + 1.46891i
\(726\) −9.59308 + 3.84049i −0.356033 + 0.142534i
\(727\) 15.4268 9.91419i 0.572148 0.367697i −0.222348 0.974967i \(-0.571372\pi\)
0.794495 + 0.607271i \(0.207736\pi\)
\(728\) 1.98625 2.30399i 0.0736154 0.0853917i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −6.60254 + 19.0768i −0.244371 + 0.706063i
\(731\) −0.579027 + 0.298509i −0.0214161 + 0.0110408i
\(732\) 5.51226 + 15.9266i 0.203739 + 0.588665i
\(733\) 17.9134 + 17.0804i 0.661647 + 0.630879i 0.944588 0.328258i \(-0.106462\pi\)
−0.282941 + 0.959137i \(0.591310\pi\)
\(734\) −0.410781 0.899484i −0.0151622 0.0332006i
\(735\) −19.2647 22.0070i −0.710590 0.811741i
\(736\) 16.2046 + 20.1622i 0.597308 + 0.743189i
\(737\) −15.4087 26.6886i −0.567586 0.983088i
\(738\) −1.42316 0.135895i −0.0523872 0.00500237i
\(739\) 2.61515 10.7798i 0.0961997 0.396541i −0.903271 0.429070i \(-0.858841\pi\)
0.999471 + 0.0325298i \(0.0103564\pi\)
\(740\) −62.1596 11.9803i −2.28503 0.440404i
\(741\) 1.48739 + 0.955887i 0.0546406 + 0.0351154i
\(742\) −18.6635 + 5.53136i −0.685160 + 0.203063i
\(743\) −6.16045 42.8468i −0.226005 1.57190i −0.714692 0.699439i \(-0.753433\pi\)
0.488687 0.872459i \(-0.337476\pi\)
\(744\) 2.70177 + 11.1369i 0.0990518 + 0.408297i
\(745\) −0.512875 10.7666i −0.0187903 0.394457i
\(746\) −11.0524 8.69168i −0.404656 0.318225i
\(747\) 14.2388 1.35964i 0.520972 0.0497468i
\(748\) −4.38161 + 9.59439i −0.160208 + 0.350806i
\(749\) 1.26651 28.0796i 0.0462773 1.02601i
\(750\) 14.8056 9.51499i 0.540625 0.347438i
\(751\) 9.54861 + 39.3599i 0.348434 + 1.43626i 0.828972 + 0.559290i \(0.188926\pi\)
−0.480538 + 0.876974i \(0.659559\pi\)
\(752\) −13.2586 5.30793i −0.483491 0.193560i
\(753\) −29.8391 + 5.75101i −1.08740 + 0.209578i
\(754\) −0.0579253 + 1.21600i −0.00210951 + 0.0442842i
\(755\) 34.6545 39.9935i 1.26121 1.45551i
\(756\) 3.50294 + 2.74045i 0.127401 + 0.0996693i
\(757\) −12.5499 27.4805i −0.456135 0.998796i −0.988352 0.152188i \(-0.951368\pi\)
0.532217 0.846608i \(-0.321359\pi\)
\(758\) 4.64949 + 8.05315i 0.168877 + 0.292504i
\(759\) 13.8016 21.9846i 0.500965 0.797990i
\(760\) −13.8856 + 24.0505i −0.503682 + 0.872403i
\(761\) 1.60149 2.24897i 0.0580538 0.0815251i −0.784529 0.620093i \(-0.787095\pi\)
0.842582 + 0.538568i \(0.181034\pi\)
\(762\) 9.09638 2.67094i 0.329527 0.0967579i
\(763\) −9.59678 0.891923i −0.347427 0.0322898i
\(764\) −7.87719 5.06236i −0.284987 0.183150i
\(765\) −1.58420 + 4.57726i −0.0572770 + 0.165491i
\(766\) 7.88003 + 3.15469i 0.284717 + 0.113984i
\(767\) −0.143082 + 0.136429i −0.00516640 + 0.00492615i
\(768\) −3.42890 1.76772i −0.123730 0.0637872i
\(769\) −0.281013 + 1.95449i −0.0101336 + 0.0704807i −0.994261 0.106984i \(-0.965881\pi\)
0.984127 + 0.177465i \(0.0567896\pi\)
\(770\) 10.9721 31.9627i 0.395406 1.15186i
\(771\) −7.40036 + 16.2045i −0.266517 + 0.583592i
\(772\) 3.69610 1.47970i 0.133026 0.0532555i