Properties

Label 483.2.r.a.412.14
Level $483$
Weight $2$
Character 483.412
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.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.14
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.795109 - 0.510986i) q^{2} +(0.989821 - 0.142315i) q^{3} +(-0.459738 - 1.00669i) q^{4} +(-1.49456 - 0.438843i) q^{5} +(-0.859737 - 0.392629i) q^{6} +(-2.64381 + 0.101346i) q^{7} +(-0.417877 + 2.90640i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(-0.795109 - 0.510986i) q^{2} +(0.989821 - 0.142315i) q^{3} +(-0.459738 - 1.00669i) q^{4} +(-1.49456 - 0.438843i) q^{5} +(-0.859737 - 0.392629i) q^{6} +(-2.64381 + 0.101346i) q^{7} +(-0.417877 + 2.90640i) q^{8} +(0.959493 - 0.281733i) q^{9} +(0.964098 + 1.11263i) q^{10} +(-0.572532 - 0.890878i) q^{11} +(-0.598324 - 0.931011i) q^{12} +(-0.623842 + 0.540562i) q^{13} +(2.15390 + 1.27037i) q^{14} +(-1.54180 - 0.221678i) q^{15} +(0.367925 - 0.424608i) q^{16} +(-2.42411 + 5.30805i) q^{17} +(-0.906863 - 0.266279i) q^{18} +(0.166950 + 0.365570i) q^{19} +(0.245330 + 1.70631i) q^{20} +(-2.60248 + 0.476568i) q^{21} +1.00090i q^{22} +(-3.24202 + 3.53402i) q^{23} +2.93629i q^{24} +(-2.16514 - 1.39145i) q^{25} +(0.772242 - 0.111032i) q^{26} +(0.909632 - 0.415415i) q^{27} +(1.31748 + 2.61489i) q^{28} +(-0.929966 + 2.03634i) q^{29} +(1.11263 + 0.964098i) q^{30} +(6.11805 + 0.879642i) q^{31} +(5.12518 - 1.50489i) q^{32} +(-0.693490 - 0.800330i) q^{33} +(4.63977 - 2.98180i) q^{34} +(3.99581 + 1.00875i) q^{35} +(-0.724731 - 0.836384i) q^{36} +(-3.05924 - 10.4188i) q^{37} +(0.0540574 - 0.375978i) q^{38} +(-0.540562 + 0.623842i) q^{39} +(1.90000 - 4.16041i) q^{40} +(-3.48835 + 11.8802i) q^{41} +(2.31277 + 0.950904i) q^{42} +(-11.9776 + 1.72211i) q^{43} +(-0.633619 + 0.985930i) q^{44} -1.55766 q^{45} +(4.38360 - 1.15331i) q^{46} -4.76463i q^{47} +(0.303752 - 0.472647i) q^{48} +(6.97946 - 0.535881i) q^{49} +(1.01051 + 2.21271i) q^{50} +(-1.64402 + 5.59901i) q^{51} +(0.830979 + 0.379495i) q^{52} +(-4.79415 - 4.15415i) q^{53} +(-0.935528 - 0.134509i) q^{54} +(0.464730 + 1.58272i) q^{55} +(0.810235 - 7.72632i) q^{56} +(0.217277 + 0.338090i) q^{57} +(1.77997 - 1.14391i) q^{58} +(-4.32793 + 3.75017i) q^{59} +(0.485665 + 1.65402i) q^{60} +(1.11823 - 7.77749i) q^{61} +(-4.41503 - 3.82565i) q^{62} +(-2.50816 + 0.842088i) q^{63} +(-5.92222 - 1.73892i) q^{64} +(1.16959 - 0.534135i) q^{65} +(0.142443 + 0.990713i) q^{66} +(0.784651 - 1.22094i) q^{67} +6.45799 q^{68} +(-2.70608 + 3.95944i) q^{69} +(-2.66165 - 2.84387i) q^{70} +(8.54463 + 5.49130i) q^{71} +(0.417877 + 2.90640i) q^{72} +(-13.8221 + 6.31233i) q^{73} +(-2.89144 + 9.84734i) q^{74} +(-2.34112 - 1.06915i) q^{75} +(0.291261 - 0.336133i) q^{76} +(1.60395 + 2.29729i) q^{77} +(0.748580 - 0.219803i) q^{78} +(1.45453 - 1.26036i) q^{79} +(-0.736223 + 0.473142i) q^{80} +(0.841254 - 0.540641i) q^{81} +(8.84424 - 7.66358i) q^{82} +(-4.40875 + 1.29453i) q^{83} +(1.67621 + 2.40078i) q^{84} +(5.95238 - 6.86941i) q^{85} +(10.4035 + 4.75110i) q^{86} +(-0.630698 + 2.14796i) q^{87} +(2.82849 - 1.29173i) q^{88} +(-1.25773 - 8.74770i) q^{89} +(1.23851 + 0.795941i) q^{90} +(1.59453 - 1.49237i) q^{91} +(5.04812 + 1.63897i) q^{92} +6.18096 q^{93} +(-2.43466 + 3.78840i) q^{94} +(-0.0890897 - 0.619633i) q^{95} +(4.85885 - 2.21896i) q^{96} +(-4.81079 - 1.41258i) q^{97} +(-5.82326 - 3.14032i) q^{98} +(-0.800330 - 0.693490i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.795109 0.510986i −0.562227 0.361321i 0.228449 0.973556i \(-0.426635\pi\)
−0.790676 + 0.612234i \(0.790271\pi\)
\(3\) 0.989821 0.142315i 0.571474 0.0821655i
\(4\) −0.459738 1.00669i −0.229869 0.503343i
\(5\) −1.49456 0.438843i −0.668388 0.196257i −0.0701032 0.997540i \(-0.522333\pi\)
−0.598285 + 0.801283i \(0.704151\pi\)
\(6\) −0.859737 0.392629i −0.350986 0.160290i
\(7\) −2.64381 + 0.101346i −0.999266 + 0.0383053i
\(8\) −0.417877 + 2.90640i −0.147742 + 1.02757i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) 0.964098 + 1.11263i 0.304874 + 0.351844i
\(11\) −0.572532 0.890878i −0.172625 0.268610i 0.744151 0.668011i \(-0.232854\pi\)
−0.916776 + 0.399402i \(0.869218\pi\)
\(12\) −0.598324 0.931011i −0.172721 0.268760i
\(13\) −0.623842 + 0.540562i −0.173023 + 0.149925i −0.737067 0.675819i \(-0.763790\pi\)
0.564045 + 0.825744i \(0.309245\pi\)
\(14\) 2.15390 + 1.27037i 0.575655 + 0.339520i
\(15\) −1.54180 0.221678i −0.398092 0.0572370i
\(16\) 0.367925 0.424608i 0.0919812 0.106152i
\(17\) −2.42411 + 5.30805i −0.587932 + 1.28739i 0.348752 + 0.937215i \(0.386606\pi\)
−0.936684 + 0.350176i \(0.886122\pi\)
\(18\) −0.906863 0.266279i −0.213750 0.0627626i
\(19\) 0.166950 + 0.365570i 0.0383011 + 0.0838676i 0.927815 0.373040i \(-0.121684\pi\)
−0.889514 + 0.456907i \(0.848957\pi\)
\(20\) 0.245330 + 1.70631i 0.0548574 + 0.381542i
\(21\) −2.60248 + 0.476568i −0.567907 + 0.103996i
\(22\) 1.00090i 0.213393i
\(23\) −3.24202 + 3.53402i −0.676008 + 0.736894i
\(24\) 2.93629i 0.599367i
\(25\) −2.16514 1.39145i −0.433027 0.278290i
\(26\) 0.772242 0.111032i 0.151449 0.0217751i
\(27\) 0.909632 0.415415i 0.175059 0.0799467i
\(28\) 1.31748 + 2.61489i 0.248981 + 0.494168i
\(29\) −0.929966 + 2.03634i −0.172690 + 0.378139i −0.976111 0.217273i \(-0.930284\pi\)
0.803421 + 0.595412i \(0.203011\pi\)
\(30\) 1.11263 + 0.964098i 0.203137 + 0.176019i
\(31\) 6.11805 + 0.879642i 1.09883 + 0.157988i 0.667795 0.744345i \(-0.267238\pi\)
0.431038 + 0.902334i \(0.358147\pi\)
\(32\) 5.12518 1.50489i 0.906013 0.266029i
\(33\) −0.693490 0.800330i −0.120721 0.139320i
\(34\) 4.63977 2.98180i 0.795713 0.511374i
\(35\) 3.99581 + 1.00875i 0.675416 + 0.170510i
\(36\) −0.724731 0.836384i −0.120788 0.139397i
\(37\) −3.05924 10.4188i −0.502937 1.71284i −0.684097 0.729391i \(-0.739804\pi\)
0.181161 0.983454i \(-0.442015\pi\)
\(38\) 0.0540574 0.375978i 0.00876928 0.0609917i
\(39\) −0.540562 + 0.623842i −0.0865592 + 0.0998946i
\(40\) 1.90000 4.16041i 0.300416 0.657819i
\(41\) −3.48835 + 11.8802i −0.544788 + 1.85538i −0.0274059 + 0.999624i \(0.508725\pi\)
−0.517382 + 0.855754i \(0.673094\pi\)
\(42\) 2.31277 + 0.950904i 0.356869 + 0.146728i
\(43\) −11.9776 + 1.72211i −1.82656 + 0.262620i −0.968155 0.250350i \(-0.919454\pi\)
−0.858406 + 0.512970i \(0.828545\pi\)
\(44\) −0.633619 + 0.985930i −0.0955216 + 0.148634i
\(45\) −1.55766 −0.232202
\(46\) 4.38360 1.15331i 0.646326 0.170046i
\(47\) 4.76463i 0.694992i −0.937681 0.347496i \(-0.887032\pi\)
0.937681 0.347496i \(-0.112968\pi\)
\(48\) 0.303752 0.472647i 0.0438428 0.0682208i
\(49\) 6.97946 0.535881i 0.997065 0.0765544i
\(50\) 1.01051 + 2.21271i 0.142908 + 0.312924i
\(51\) −1.64402 + 5.59901i −0.230208 + 0.784018i
\(52\) 0.830979 + 0.379495i 0.115236 + 0.0526265i
\(53\) −4.79415 4.15415i −0.658527 0.570617i 0.260179 0.965561i \(-0.416219\pi\)
−0.918705 + 0.394944i \(0.870764\pi\)
\(54\) −0.935528 0.134509i −0.127309 0.0183043i
\(55\) 0.464730 + 1.58272i 0.0626641 + 0.213414i
\(56\) 0.810235 7.72632i 0.108272 1.03247i
\(57\) 0.217277 + 0.338090i 0.0287791 + 0.0447811i
\(58\) 1.77997 1.14391i 0.233721 0.150203i
\(59\) −4.32793 + 3.75017i −0.563448 + 0.488231i −0.889384 0.457161i \(-0.848866\pi\)
0.325936 + 0.945392i \(0.394321\pi\)
\(60\) 0.485665 + 1.65402i 0.0626991 + 0.213534i
\(61\) 1.11823 7.77749i 0.143175 0.995805i −0.783888 0.620902i \(-0.786767\pi\)
0.927064 0.374904i \(-0.122324\pi\)
\(62\) −4.41503 3.82565i −0.560709 0.485857i
\(63\) −2.50816 + 0.842088i −0.315999 + 0.106093i
\(64\) −5.92222 1.73892i −0.740277 0.217365i
\(65\) 1.16959 0.534135i 0.145070 0.0662513i
\(66\) 0.142443 + 0.990713i 0.0175335 + 0.121948i
\(67\) 0.784651 1.22094i 0.0958603 0.149162i −0.790011 0.613093i \(-0.789925\pi\)
0.885871 + 0.463931i \(0.153562\pi\)
\(68\) 6.45799 0.783146
\(69\) −2.70608 + 3.95944i −0.325774 + 0.476660i
\(70\) −2.66165 2.84387i −0.318128 0.339907i
\(71\) 8.54463 + 5.49130i 1.01406 + 0.651697i 0.938441 0.345439i \(-0.112270\pi\)
0.0756198 + 0.997137i \(0.475906\pi\)
\(72\) 0.417877 + 2.90640i 0.0492473 + 0.342523i
\(73\) −13.8221 + 6.31233i −1.61775 + 0.738802i −0.998908 0.0467134i \(-0.985125\pi\)
−0.618842 + 0.785515i \(0.712398\pi\)
\(74\) −2.89144 + 9.84734i −0.336123 + 1.14473i
\(75\) −2.34112 1.06915i −0.270329 0.123455i
\(76\) 0.291261 0.336133i 0.0334099 0.0385571i
\(77\) 1.60395 + 2.29729i 0.182787 + 0.261800i
\(78\) 0.748580 0.219803i 0.0847600 0.0248878i
\(79\) 1.45453 1.26036i 0.163647 0.141801i −0.569188 0.822208i \(-0.692742\pi\)
0.732835 + 0.680406i \(0.238197\pi\)
\(80\) −0.736223 + 0.473142i −0.0823122 + 0.0528989i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) 8.84424 7.66358i 0.976683 0.846301i
\(83\) −4.40875 + 1.29453i −0.483923 + 0.142093i −0.514589 0.857437i \(-0.672055\pi\)
0.0306656 + 0.999530i \(0.490237\pi\)
\(84\) 1.67621 + 2.40078i 0.182890 + 0.261946i
\(85\) 5.95238 6.86941i 0.645626 0.745092i
\(86\) 10.4035 + 4.75110i 1.12183 + 0.512324i
\(87\) −0.630698 + 2.14796i −0.0676180 + 0.230286i
\(88\) 2.82849 1.29173i 0.301519 0.137699i
\(89\) −1.25773 8.74770i −0.133319 0.927254i −0.941186 0.337889i \(-0.890287\pi\)
0.807867 0.589365i \(-0.200622\pi\)
\(90\) 1.23851 + 0.795941i 0.130550 + 0.0838996i
\(91\) 1.59453 1.49237i 0.167153 0.156443i
\(92\) 5.04812 + 1.63897i 0.526303 + 0.170875i
\(93\) 6.18096 0.640936
\(94\) −2.43466 + 3.78840i −0.251116 + 0.390744i
\(95\) −0.0890897 0.619633i −0.00914042 0.0635730i
\(96\) 4.85885 2.21896i 0.495904 0.226472i
\(97\) −4.81079 1.41258i −0.488462 0.143425i 0.0282218 0.999602i \(-0.491016\pi\)
−0.516684 + 0.856176i \(0.672834\pi\)
\(98\) −5.82326 3.14032i −0.588238 0.317220i
\(99\) −0.800330 0.693490i −0.0804362 0.0696984i
\(100\) −0.405356 + 2.81931i −0.0405356 + 0.281931i
\(101\) −3.57035 12.1595i −0.355263 1.20991i −0.922382 0.386278i \(-0.873760\pi\)
0.567119 0.823636i \(-0.308058\pi\)
\(102\) 4.16819 3.61175i 0.412712 0.357617i
\(103\) 1.10932 0.712920i 0.109305 0.0702461i −0.484846 0.874599i \(-0.661124\pi\)
0.594151 + 0.804353i \(0.297488\pi\)
\(104\) −1.31040 2.03902i −0.128495 0.199943i
\(105\) 4.09870 + 0.429818i 0.399992 + 0.0419459i
\(106\) 1.68916 + 5.75274i 0.164066 + 0.558756i
\(107\) −13.3226 1.91551i −1.28795 0.185179i −0.535897 0.844283i \(-0.680026\pi\)
−0.752051 + 0.659104i \(0.770935\pi\)
\(108\) −0.836384 0.724731i −0.0804811 0.0697373i
\(109\) 7.36542 + 3.36368i 0.705480 + 0.322182i 0.735649 0.677363i \(-0.236877\pi\)
−0.0301692 + 0.999545i \(0.509605\pi\)
\(110\) 0.439238 1.49591i 0.0418797 0.142629i
\(111\) −4.51086 9.87740i −0.428152 0.937522i
\(112\) −0.929691 + 1.15987i −0.0878475 + 0.109597i
\(113\) 3.83446 5.96654i 0.360716 0.561285i −0.612704 0.790313i \(-0.709918\pi\)
0.973420 + 0.229027i \(0.0735545\pi\)
\(114\) 0.379844i 0.0355757i
\(115\) 6.39628 3.85907i 0.596456 0.359860i
\(116\) 2.47749 0.230030
\(117\) −0.446278 + 0.694422i −0.0412584 + 0.0641993i
\(118\) 5.35746 0.770286i 0.493194 0.0709106i
\(119\) 5.87092 14.2791i 0.538186 1.30897i
\(120\) 1.28857 4.38846i 0.117630 0.400610i
\(121\) 4.10370 8.98584i 0.373063 0.816894i
\(122\) −4.86330 + 5.61255i −0.440303 + 0.508137i
\(123\) −1.76211 + 12.2557i −0.158884 + 1.10506i
\(124\) −1.92717 6.56335i −0.173065 0.589406i
\(125\) 7.72555 + 8.91576i 0.690994 + 0.797450i
\(126\) 2.42456 + 0.612084i 0.215997 + 0.0545288i
\(127\) 15.1987 9.76761i 1.34867 0.866735i 0.351092 0.936341i \(-0.385811\pi\)
0.997575 + 0.0696058i \(0.0221741\pi\)
\(128\) −3.17570 3.66496i −0.280695 0.323939i
\(129\) −11.6106 + 3.40917i −1.02225 + 0.300161i
\(130\) −1.20289 0.172949i −0.105500 0.0151687i
\(131\) −10.9999 9.53145i −0.961064 0.832767i 0.0249060 0.999690i \(-0.492071\pi\)
−0.985970 + 0.166923i \(0.946617\pi\)
\(132\) −0.486857 + 1.06607i −0.0423754 + 0.0927893i
\(133\) −0.478434 0.949579i −0.0414855 0.0823389i
\(134\) −1.24777 + 0.569836i −0.107791 + 0.0492263i
\(135\) −1.54180 + 0.221678i −0.132697 + 0.0190790i
\(136\) −14.4143 9.26353i −1.23602 0.794341i
\(137\) 13.6523i 1.16639i −0.812331 0.583196i \(-0.801802\pi\)
0.812331 0.583196i \(-0.198198\pi\)
\(138\) 4.17484 1.76542i 0.355386 0.150282i
\(139\) 9.52668i 0.808043i 0.914750 + 0.404021i \(0.132388\pi\)
−0.914750 + 0.404021i \(0.867612\pi\)
\(140\) −0.821533 4.48628i −0.0694322 0.379160i
\(141\) −0.678077 4.71613i −0.0571044 0.397170i
\(142\) −3.98794 8.73237i −0.334660 0.732804i
\(143\) 0.838744 + 0.246277i 0.0701393 + 0.0205948i
\(144\) 0.233396 0.511065i 0.0194496 0.0425887i
\(145\) 2.28352 2.63533i 0.189636 0.218852i
\(146\) 14.2156 + 2.04389i 1.17649 + 0.169153i
\(147\) 6.83215 1.52371i 0.563506 0.125673i
\(148\) −9.08203 + 7.86962i −0.746538 + 0.646879i
\(149\) 9.93721 + 15.4626i 0.814088 + 1.26675i 0.960710 + 0.277554i \(0.0895236\pi\)
−0.146622 + 0.989193i \(0.546840\pi\)
\(150\) 1.31512 + 2.04637i 0.107379 + 0.167086i
\(151\) −4.25045 4.90528i −0.345897 0.399186i 0.555969 0.831203i \(-0.312347\pi\)
−0.901865 + 0.432017i \(0.857802\pi\)
\(152\) −1.13226 + 0.332461i −0.0918383 + 0.0269662i
\(153\) −0.830461 + 5.77599i −0.0671388 + 0.466961i
\(154\) −0.101438 2.64619i −0.00817408 0.213236i
\(155\) −8.75777 3.99954i −0.703441 0.321251i
\(156\) 0.876529 + 0.257372i 0.0701785 + 0.0206063i
\(157\) 4.71456 + 10.3235i 0.376263 + 0.823901i 0.999135 + 0.0415777i \(0.0132384\pi\)
−0.622872 + 0.782324i \(0.714034\pi\)
\(158\) −1.80053 + 0.258878i −0.143243 + 0.0205952i
\(159\) −5.33655 3.42959i −0.423216 0.271984i
\(160\) −8.32032 −0.657779
\(161\) 8.21313 9.67184i 0.647285 0.762248i
\(162\) −0.945148 −0.0742579
\(163\) 9.93087 + 6.38218i 0.777846 + 0.499891i 0.868318 0.496008i \(-0.165201\pi\)
−0.0904723 + 0.995899i \(0.528838\pi\)
\(164\) 13.5634 1.95012i 1.05912 0.152279i
\(165\) 0.685244 + 1.50048i 0.0533462 + 0.116812i
\(166\) 4.16692 + 1.22352i 0.323416 + 0.0949635i
\(167\) −1.56423 0.714359i −0.121044 0.0552787i 0.353973 0.935256i \(-0.384831\pi\)
−0.475016 + 0.879977i \(0.657558\pi\)
\(168\) −0.297582 7.76298i −0.0229590 0.598927i
\(169\) −1.75312 + 12.1932i −0.134856 + 0.937941i
\(170\) −8.24296 + 2.42035i −0.632206 + 0.185632i
\(171\) 0.263181 + 0.303727i 0.0201259 + 0.0232266i
\(172\) 7.24016 + 11.2659i 0.552057 + 0.859018i
\(173\) 0.0274912 + 0.0427771i 0.00209011 + 0.00325228i 0.842297 0.539014i \(-0.181203\pi\)
−0.840207 + 0.542266i \(0.817567\pi\)
\(174\) 1.59905 1.38559i 0.121224 0.105041i
\(175\) 5.86522 + 3.45929i 0.443369 + 0.261498i
\(176\) −0.588923 0.0846743i −0.0443917 0.00638257i
\(177\) −3.75017 + 4.32793i −0.281880 + 0.325307i
\(178\) −3.46992 + 7.59806i −0.260081 + 0.569499i
\(179\) −12.1769 3.57546i −0.910144 0.267242i −0.207042 0.978332i \(-0.566384\pi\)
−0.703101 + 0.711090i \(0.748202\pi\)
\(180\) 0.716114 + 1.56807i 0.0533760 + 0.116877i
\(181\) −1.74477 12.1351i −0.129688 0.901997i −0.945949 0.324314i \(-0.894866\pi\)
0.816262 0.577682i \(-0.196043\pi\)
\(182\) −2.03041 + 0.371810i −0.150504 + 0.0275604i
\(183\) 7.85747i 0.580841i
\(184\) −8.91651 10.8994i −0.657334 0.803514i
\(185\) 16.9141i 1.24355i
\(186\) −4.91454 3.15838i −0.360351 0.231584i
\(187\) 6.11670 0.879449i 0.447298 0.0643117i
\(188\) −4.79648 + 2.19048i −0.349819 + 0.159757i
\(189\) −2.36279 + 1.19047i −0.171868 + 0.0865937i
\(190\) −0.245787 + 0.538199i −0.0178313 + 0.0390451i
\(191\) 6.41247 + 5.55644i 0.463990 + 0.402050i 0.855238 0.518236i \(-0.173411\pi\)
−0.391248 + 0.920285i \(0.627956\pi\)
\(192\) −6.10941 0.878401i −0.440909 0.0633931i
\(193\) −5.66336 + 1.66291i −0.407657 + 0.119699i −0.479131 0.877744i \(-0.659048\pi\)
0.0714735 + 0.997442i \(0.477230\pi\)
\(194\) 3.10330 + 3.58140i 0.222804 + 0.257129i
\(195\) 1.08167 0.695148i 0.0774601 0.0497806i
\(196\) −3.74818 6.77975i −0.267727 0.484268i
\(197\) −0.684320 0.789748i −0.0487558 0.0562672i 0.730848 0.682540i \(-0.239125\pi\)
−0.779604 + 0.626273i \(0.784579\pi\)
\(198\) 0.281986 + 0.960357i 0.0200399 + 0.0682496i
\(199\) −3.13182 + 21.7823i −0.222009 + 1.54410i 0.508417 + 0.861111i \(0.330231\pi\)
−0.730426 + 0.682992i \(0.760678\pi\)
\(200\) 4.94886 5.71129i 0.349938 0.403850i
\(201\) 0.602906 1.32018i 0.0425257 0.0931183i
\(202\) −3.37451 + 11.4925i −0.237430 + 0.808611i
\(203\) 2.25228 5.47795i 0.158079 0.384476i
\(204\) 6.39225 0.919067i 0.447547 0.0643476i
\(205\) 10.4271 16.2249i 0.728260 1.13320i
\(206\) −1.24633 −0.0868357
\(207\) −2.11505 + 4.30425i −0.147006 + 0.299166i
\(208\) 0.463774i 0.0321570i
\(209\) 0.230094 0.358033i 0.0159159 0.0247657i
\(210\) −3.03928 2.43613i −0.209731 0.168109i
\(211\) 2.24439 + 4.91453i 0.154510 + 0.338330i 0.971019 0.239003i \(-0.0768206\pi\)
−0.816509 + 0.577333i \(0.804093\pi\)
\(212\) −1.97787 + 6.73601i −0.135841 + 0.462631i
\(213\) 9.23915 + 4.21938i 0.633056 + 0.289107i
\(214\) 9.61416 + 8.33072i 0.657210 + 0.569476i
\(215\) 18.6570 + 2.68246i 1.27239 + 0.182943i
\(216\) 0.827248 + 2.81735i 0.0562871 + 0.191696i
\(217\) −16.2641 1.70556i −1.10408 0.115781i
\(218\) −4.13753 6.43812i −0.280229 0.436044i
\(219\) −12.7830 + 8.21516i −0.863798 + 0.555129i
\(220\) 1.37965 1.19547i 0.0930160 0.0805988i
\(221\) −1.35707 4.62176i −0.0912865 0.310893i
\(222\) −1.46059 + 10.1586i −0.0980281 + 0.681800i
\(223\) 14.9294 + 12.9364i 0.999749 + 0.866287i 0.991025 0.133675i \(-0.0426777\pi\)
0.00872368 + 0.999962i \(0.497223\pi\)
\(224\) −13.3975 + 4.49806i −0.895158 + 0.300539i
\(225\) −2.46945 0.725095i −0.164630 0.0483397i
\(226\) −6.09764 + 2.78470i −0.405609 + 0.185235i
\(227\) 0.701231 + 4.87717i 0.0465423 + 0.323709i 0.999770 + 0.0214552i \(0.00682994\pi\)
−0.953227 + 0.302254i \(0.902261\pi\)
\(228\) 0.240460 0.374162i 0.0159248 0.0247795i
\(229\) −20.9952 −1.38740 −0.693702 0.720262i \(-0.744022\pi\)
−0.693702 + 0.720262i \(0.744022\pi\)
\(230\) −7.05767 0.200023i −0.465369 0.0131892i
\(231\) 1.91457 + 2.04564i 0.125969 + 0.134593i
\(232\) −5.52981 3.55379i −0.363050 0.233318i
\(233\) 1.19941 + 8.34209i 0.0785760 + 0.546508i 0.990644 + 0.136470i \(0.0435756\pi\)
−0.912068 + 0.410038i \(0.865515\pi\)
\(234\) 0.709679 0.324100i 0.0463932 0.0211871i
\(235\) −2.09092 + 7.12103i −0.136397 + 0.464525i
\(236\) 5.76495 + 2.63277i 0.375266 + 0.171378i
\(237\) 1.26036 1.45453i 0.0818690 0.0944818i
\(238\) −11.9645 + 8.35353i −0.775541 + 0.541479i
\(239\) −1.78705 + 0.524725i −0.115595 + 0.0339416i −0.339018 0.940780i \(-0.610095\pi\)
0.223424 + 0.974721i \(0.428277\pi\)
\(240\) −0.661394 + 0.573101i −0.0426928 + 0.0369935i
\(241\) 7.83054 5.03239i 0.504410 0.324164i −0.263568 0.964641i \(-0.584899\pi\)
0.767978 + 0.640476i \(0.221263\pi\)
\(242\) −7.85452 + 5.04779i −0.504908 + 0.324485i
\(243\) 0.755750 0.654861i 0.0484814 0.0420093i
\(244\) −8.34358 + 2.44990i −0.534143 + 0.156838i
\(245\) −10.6664 2.26198i −0.681451 0.144513i
\(246\) 7.66358 8.84424i 0.488612 0.563888i
\(247\) −0.301764 0.137811i −0.0192008 0.00876871i
\(248\) −5.11318 + 17.4139i −0.324688 + 1.10578i
\(249\) −4.17965 + 1.90878i −0.264874 + 0.120964i
\(250\) −1.58683 11.0366i −0.100360 0.698019i
\(251\) 3.83302 + 2.46333i 0.241938 + 0.155484i 0.655991 0.754769i \(-0.272251\pi\)
−0.414053 + 0.910253i \(0.635887\pi\)
\(252\) 2.00082 + 2.13779i 0.126040 + 0.134668i
\(253\) 5.00454 + 0.864904i 0.314633 + 0.0543760i
\(254\) −17.0757 −1.07143
\(255\) 4.91417 7.64660i 0.307737 0.478849i
\(256\) 2.40909 + 16.7556i 0.150568 + 1.04723i
\(257\) −3.46291 + 1.58146i −0.216011 + 0.0986487i −0.520482 0.853873i \(-0.674248\pi\)
0.304471 + 0.952522i \(0.401520\pi\)
\(258\) 10.9737 + 3.22217i 0.683193 + 0.200604i
\(259\) 9.14397 + 27.2353i 0.568178 + 1.69232i
\(260\) −1.07541 0.931849i −0.0666942 0.0577908i
\(261\) −0.318592 + 2.21586i −0.0197203 + 0.137158i
\(262\) 3.87567 + 13.1993i 0.239440 + 0.815457i
\(263\) −6.17816 + 5.35341i −0.380962 + 0.330105i −0.824200 0.566299i \(-0.808375\pi\)
0.443238 + 0.896404i \(0.353829\pi\)
\(264\) 2.61587 1.68112i 0.160996 0.103466i
\(265\) 5.34213 + 8.31251i 0.328164 + 0.510634i
\(266\) −0.104814 + 0.999492i −0.00642653 + 0.0612828i
\(267\) −2.48986 8.47967i −0.152377 0.518947i
\(268\) −1.58984 0.228584i −0.0971147 0.0139630i
\(269\) −11.3787 9.85968i −0.693770 0.601155i 0.234919 0.972015i \(-0.424518\pi\)
−0.928689 + 0.370860i \(0.879063\pi\)
\(270\) 1.33918 + 0.611581i 0.0814997 + 0.0372197i
\(271\) −7.95208 + 27.0823i −0.483055 + 1.64513i 0.252447 + 0.967611i \(0.418765\pi\)
−0.735502 + 0.677523i \(0.763054\pi\)
\(272\) 1.36195 + 2.98226i 0.0825805 + 0.180826i
\(273\) 1.36592 1.70410i 0.0826692 0.103137i
\(274\) −6.97612 + 10.8551i −0.421443 + 0.655778i
\(275\) 2.72552i 0.164355i
\(276\) 5.22999 + 0.903867i 0.314809 + 0.0544064i
\(277\) −15.4698 −0.929493 −0.464746 0.885444i \(-0.653855\pi\)
−0.464746 + 0.885444i \(0.653855\pi\)
\(278\) 4.86800 7.57475i 0.291963 0.454303i
\(279\) 6.11805 0.879642i 0.366278 0.0526628i
\(280\) −4.60159 + 11.1919i −0.274997 + 0.668844i
\(281\) −4.63731 + 15.7932i −0.276639 + 0.942145i 0.697574 + 0.716513i \(0.254263\pi\)
−0.974213 + 0.225632i \(0.927555\pi\)
\(282\) −1.87073 + 4.09633i −0.111400 + 0.243933i
\(283\) −7.64541 + 8.82328i −0.454473 + 0.524489i −0.936028 0.351926i \(-0.885527\pi\)
0.481555 + 0.876416i \(0.340072\pi\)
\(284\) 1.59972 11.1263i 0.0949260 0.660225i
\(285\) −0.176366 0.600647i −0.0104470 0.0355793i
\(286\) −0.541049 0.624404i −0.0319929 0.0369218i
\(287\) 8.01851 31.7626i 0.473318 1.87489i
\(288\) 4.49360 2.88786i 0.264788 0.170169i
\(289\) −11.1665 12.8868i −0.656852 0.758047i
\(290\) −3.16227 + 0.928525i −0.185695 + 0.0545249i
\(291\) −4.96286 0.713551i −0.290928 0.0418291i
\(292\) 12.7090 + 11.0125i 0.743741 + 0.644455i
\(293\) 5.61741 12.3004i 0.328173 0.718598i −0.671578 0.740934i \(-0.734383\pi\)
0.999751 + 0.0223360i \(0.00711036\pi\)
\(294\) −6.21090 2.27962i −0.362227 0.132950i
\(295\) 8.11409 3.70558i 0.472421 0.215747i
\(296\) 31.5597 4.53759i 1.83437 0.263742i
\(297\) −0.890878 0.572532i −0.0516940 0.0332217i
\(298\) 17.3722i 1.00635i
\(299\) 0.112152 3.95718i 0.00648589 0.228850i
\(300\) 2.84830i 0.164447i
\(301\) 31.4919 5.76682i 1.81516 0.332394i
\(302\) 0.873043 + 6.07215i 0.0502380 + 0.349413i
\(303\) −5.26448 11.5276i −0.302437 0.662244i
\(304\) 0.216649 + 0.0636140i 0.0124257 + 0.00364851i
\(305\) −5.08437 + 11.1332i −0.291130 + 0.637486i
\(306\) 3.61175 4.16819i 0.206470 0.238279i
\(307\) 16.5839 + 2.38441i 0.946493 + 0.136085i 0.598242 0.801316i \(-0.295866\pi\)
0.348252 + 0.937401i \(0.386775\pi\)
\(308\) 1.57525 2.67083i 0.0897580 0.152184i
\(309\) 0.996574 0.863537i 0.0566931 0.0491249i
\(310\) 4.91968 + 7.65517i 0.279419 + 0.434784i
\(311\) −5.11122 7.95322i −0.289831 0.450985i 0.665554 0.746350i \(-0.268195\pi\)
−0.955385 + 0.295364i \(0.904559\pi\)
\(312\) −1.58724 1.83178i −0.0898601 0.103704i
\(313\) −15.5101 + 4.55417i −0.876682 + 0.257417i −0.688955 0.724804i \(-0.741930\pi\)
−0.187727 + 0.982221i \(0.560112\pi\)
\(314\) 1.52654 10.6174i 0.0861479 0.599172i
\(315\) 4.11815 0.157863i 0.232032 0.00889457i
\(316\) −1.93748 0.884819i −0.108992 0.0497750i
\(317\) 6.01183 + 1.76523i 0.337658 + 0.0991453i 0.446166 0.894950i \(-0.352789\pi\)
−0.108508 + 0.994096i \(0.534607\pi\)
\(318\) 2.49067 + 5.45380i 0.139670 + 0.305834i
\(319\) 2.34657 0.337385i 0.131382 0.0188899i
\(320\) 8.08801 + 5.19785i 0.452133 + 0.290568i
\(321\) −13.4596 −0.751244
\(322\) −11.4725 + 3.49338i −0.639338 + 0.194679i
\(323\) −2.34517 −0.130489
\(324\) −0.931011 0.598324i −0.0517228 0.0332402i
\(325\) 2.10287 0.302346i 0.116646 0.0167712i
\(326\) −4.63492 10.1491i −0.256705 0.562105i
\(327\) 7.76916 + 2.28123i 0.429635 + 0.126152i
\(328\) −33.0710 15.1030i −1.82604 0.833924i
\(329\) 0.482878 + 12.5968i 0.0266219 + 0.694482i
\(330\) 0.221878 1.54319i 0.0122140 0.0849499i
\(331\) 15.7091 4.61261i 0.863450 0.253532i 0.180123 0.983644i \(-0.442350\pi\)
0.683327 + 0.730112i \(0.260532\pi\)
\(332\) 3.33005 + 3.84308i 0.182760 + 0.210917i
\(333\) −5.87065 9.13490i −0.321709 0.500590i
\(334\) 0.878705 + 1.36729i 0.0480806 + 0.0748149i
\(335\) −1.70851 + 1.48043i −0.0933459 + 0.0808847i
\(336\) −0.755161 + 1.28037i −0.0411974 + 0.0698501i
\(337\) −16.1093 2.31616i −0.877527 0.126169i −0.311195 0.950346i \(-0.600729\pi\)
−0.566332 + 0.824177i \(0.691638\pi\)
\(338\) 7.62449 8.79913i 0.414718 0.478610i
\(339\) 2.94631 6.45151i 0.160021 0.350398i
\(340\) −9.65186 2.83404i −0.523446 0.153698i
\(341\) −2.71913 5.95405i −0.147249 0.322430i
\(342\) −0.0540574 0.375978i −0.00292309 0.0203306i
\(343\) −18.3980 + 2.12411i −0.993401 + 0.114691i
\(344\) 35.5312i 1.91572i
\(345\) 5.78197 4.73008i 0.311291 0.254659i
\(346\) 0.0480600i 0.00258372i
\(347\) 24.0503 + 15.4562i 1.29109 + 0.829732i 0.992212 0.124560i \(-0.0397520\pi\)
0.298876 + 0.954292i \(0.403388\pi\)
\(348\) 2.45228 0.352584i 0.131456 0.0189005i
\(349\) −13.4413 + 6.13842i −0.719495 + 0.328582i −0.741294 0.671180i \(-0.765788\pi\)
0.0217995 + 0.999762i \(0.493060\pi\)
\(350\) −2.89584 5.74756i −0.154789 0.307220i
\(351\) −0.342909 + 0.750866i −0.0183031 + 0.0400782i
\(352\) −4.27501 3.70431i −0.227859 0.197441i
\(353\) −0.367098 0.0527808i −0.0195387 0.00280924i 0.132539 0.991178i \(-0.457687\pi\)
−0.152077 + 0.988369i \(0.548596\pi\)
\(354\) 5.19330 1.52489i 0.276021 0.0810471i
\(355\) −10.3607 11.9568i −0.549887 0.634603i
\(356\) −8.22795 + 5.28778i −0.436081 + 0.280252i
\(357\) 3.77903 14.9693i 0.200007 0.792261i
\(358\) 7.85495 + 9.06510i 0.415147 + 0.479105i
\(359\) −3.14912 10.7249i −0.166204 0.566040i −0.999904 0.0138224i \(-0.995600\pi\)
0.833700 0.552217i \(-0.186218\pi\)
\(360\) 0.650910 4.52718i 0.0343060 0.238603i
\(361\) 12.3366 14.2372i 0.649294 0.749325i
\(362\) −4.81359 + 10.5403i −0.252997 + 0.553986i
\(363\) 2.78311 9.47839i 0.146075 0.497487i
\(364\) −2.23541 0.919097i −0.117167 0.0481738i
\(365\) 23.4281 3.36845i 1.22628 0.176313i
\(366\) −4.01505 + 6.24755i −0.209870 + 0.326564i
\(367\) −22.5722 −1.17826 −0.589129 0.808039i \(-0.700529\pi\)
−0.589129 + 0.808039i \(0.700529\pi\)
\(368\) 0.307753 + 2.67684i 0.0160427 + 0.139540i
\(369\) 12.3818i 0.644569i
\(370\) 8.64287 13.4486i 0.449321 0.699158i
\(371\) 13.0958 + 10.4969i 0.679901 + 0.544973i
\(372\) −2.84162 6.22228i −0.147331 0.322610i
\(373\) 4.36112 14.8526i 0.225810 0.769039i −0.766169 0.642639i \(-0.777840\pi\)
0.991979 0.126400i \(-0.0403422\pi\)
\(374\) −5.31283 2.42629i −0.274720 0.125460i
\(375\) 8.91576 + 7.72555i 0.460408 + 0.398946i
\(376\) 13.8479 + 1.99103i 0.714152 + 0.102680i
\(377\) −0.520617 1.77306i −0.0268131 0.0913171i
\(378\) 2.48699 + 0.260803i 0.127917 + 0.0134142i
\(379\) 17.5830 + 27.3597i 0.903178 + 1.40537i 0.914125 + 0.405432i \(0.132879\pi\)
−0.0109469 + 0.999940i \(0.503485\pi\)
\(380\) −0.582817 + 0.374554i −0.0298979 + 0.0192142i
\(381\) 13.6539 11.8312i 0.699512 0.606130i
\(382\) −2.25936 7.69466i −0.115599 0.393693i
\(383\) −4.03447 + 28.0604i −0.206152 + 1.43382i 0.579410 + 0.815036i \(0.303283\pi\)
−0.785562 + 0.618783i \(0.787626\pi\)
\(384\) −3.66496 3.17570i −0.187027 0.162059i
\(385\) −1.38906 4.13732i −0.0707930 0.210857i
\(386\) 5.35271 + 1.57170i 0.272446 + 0.0799973i
\(387\) −11.0072 + 5.02683i −0.559528 + 0.255528i
\(388\) 0.789683 + 5.49237i 0.0400901 + 0.278833i
\(389\) 18.0526 28.0904i 0.915304 1.42424i 0.00977633 0.999952i \(-0.496888\pi\)
0.905527 0.424288i \(-0.139476\pi\)
\(390\) −1.21526 −0.0615370
\(391\) −10.8998 25.7757i −0.551224 1.30353i
\(392\) −1.35907 + 20.5090i −0.0686435 + 1.03586i
\(393\) −12.2444 7.86899i −0.617647 0.396938i
\(394\) 0.140560 + 0.977614i 0.00708129 + 0.0492515i
\(395\) −2.72698 + 1.24537i −0.137209 + 0.0626614i
\(396\) −0.330184 + 1.12450i −0.0165924 + 0.0565084i
\(397\) 8.58878 + 3.92236i 0.431059 + 0.196858i 0.619115 0.785300i \(-0.287491\pi\)
−0.188056 + 0.982158i \(0.560219\pi\)
\(398\) 13.6206 15.7190i 0.682737 0.787920i
\(399\) −0.608704 0.871825i −0.0304733 0.0436459i
\(400\) −1.38743 + 0.407385i −0.0693714 + 0.0203693i
\(401\) −9.16429 + 7.94090i −0.457643 + 0.396550i −0.852944 0.522002i \(-0.825185\pi\)
0.395302 + 0.918551i \(0.370640\pi\)
\(402\) −1.15397 + 0.741611i −0.0575548 + 0.0369882i
\(403\) −4.29219 + 2.75843i −0.213809 + 0.137407i
\(404\) −10.5993 + 9.18439i −0.527337 + 0.456940i
\(405\) −1.49456 + 0.438843i −0.0742654 + 0.0218063i
\(406\) −4.58996 + 3.20468i −0.227796 + 0.159046i
\(407\) −7.53038 + 8.69053i −0.373267 + 0.430773i
\(408\) −15.5860 7.11787i −0.771620 0.352387i
\(409\) 10.3051 35.0961i 0.509557 1.73539i −0.154772 0.987950i \(-0.549464\pi\)
0.664329 0.747440i \(-0.268717\pi\)
\(410\) −16.5814 + 7.57246i −0.818896 + 0.373977i
\(411\) −1.94292 13.5133i −0.0958373 0.666563i
\(412\) −1.22768 0.788985i −0.0604837 0.0388705i
\(413\) 11.0622 10.3534i 0.544333 0.509455i
\(414\) 3.88110 2.34159i 0.190746 0.115083i
\(415\) 7.15725 0.351335
\(416\) −2.38382 + 3.70929i −0.116876 + 0.181863i
\(417\) 1.35579 + 9.42971i 0.0663932 + 0.461775i
\(418\) −0.365900 + 0.167101i −0.0178967 + 0.00817317i
\(419\) −12.8407 3.77037i −0.627308 0.184194i −0.0474000 0.998876i \(-0.515094\pi\)
−0.579909 + 0.814682i \(0.696912\pi\)
\(420\) −1.45164 4.32370i −0.0708326 0.210975i
\(421\) −12.7382 11.0377i −0.620821 0.537945i 0.286662 0.958032i \(-0.407454\pi\)
−0.907484 + 0.420087i \(0.862000\pi\)
\(422\) 0.726719 5.05444i 0.0353761 0.246046i
\(423\) −1.34235 4.57163i −0.0652673 0.222280i
\(424\) 14.0770 12.1978i 0.683639 0.592377i
\(425\) 12.6344 8.11963i 0.612858 0.393860i
\(426\) −5.19009 8.07594i −0.251461 0.391281i
\(427\) −2.16818 + 20.6755i −0.104925 + 1.00056i
\(428\) 4.19661 + 14.2923i 0.202851 + 0.690846i
\(429\) 0.865256 + 0.124405i 0.0417749 + 0.00600633i
\(430\) −13.4636 11.6663i −0.649273 0.562598i
\(431\) 14.0725 + 6.42668i 0.677847 + 0.309562i 0.724426 0.689352i \(-0.242105\pi\)
−0.0465795 + 0.998915i \(0.514832\pi\)
\(432\) 0.158288 0.539079i 0.00761562 0.0259364i
\(433\) 2.32761 + 5.09675i 0.111858 + 0.244934i 0.957279 0.289166i \(-0.0933779\pi\)
−0.845421 + 0.534100i \(0.820651\pi\)
\(434\) 12.0602 + 9.66683i 0.578909 + 0.464023i
\(435\) 1.88524 2.93348i 0.0903901 0.140650i
\(436\) 8.96107i 0.429157i
\(437\) −1.83319 0.595181i −0.0876934 0.0284714i
\(438\) 14.3617 0.686231
\(439\) 9.11088 14.1768i 0.434839 0.676622i −0.552810 0.833307i \(-0.686444\pi\)
0.987649 + 0.156685i \(0.0500808\pi\)
\(440\) −4.79423 + 0.689306i −0.228556 + 0.0328614i
\(441\) 6.54577 2.48051i 0.311703 0.118120i
\(442\) −1.28263 + 4.36825i −0.0610087 + 0.207776i
\(443\) −7.40727 + 16.2197i −0.351930 + 0.770619i 0.648030 + 0.761615i \(0.275593\pi\)
−0.999959 + 0.00900374i \(0.997134\pi\)
\(444\) −7.86962 + 9.08203i −0.373476 + 0.431014i
\(445\) −1.95911 + 13.6259i −0.0928708 + 0.645931i
\(446\) −5.26020 17.9146i −0.249078 0.848281i
\(447\) 12.0366 + 13.8910i 0.569313 + 0.657022i
\(448\) 15.8334 + 3.99718i 0.748060 + 0.188849i
\(449\) 0.197321 0.126811i 0.00931216 0.00598456i −0.535976 0.844233i \(-0.680056\pi\)
0.545289 + 0.838248i \(0.316420\pi\)
\(450\) 1.59297 + 1.83838i 0.0750932 + 0.0866622i
\(451\) 12.5810 3.69412i 0.592417 0.173949i
\(452\) −7.76928 1.11705i −0.365436 0.0525418i
\(453\) −4.90528 4.25045i −0.230470 0.199703i
\(454\) 1.93461 4.23620i 0.0907957 0.198815i
\(455\) −3.03805 + 1.53068i −0.142426 + 0.0717596i
\(456\) −1.07342 + 0.490214i −0.0502675 + 0.0229564i
\(457\) 12.0197 1.72818i 0.562260 0.0808408i 0.144676 0.989479i \(-0.453786\pi\)
0.417584 + 0.908638i \(0.362877\pi\)
\(458\) 16.6935 + 10.7283i 0.780037 + 0.501299i
\(459\) 5.83538i 0.272372i
\(460\) −6.82548 4.66488i −0.318240 0.217501i
\(461\) 38.0249i 1.77100i −0.464642 0.885499i \(-0.653817\pi\)
0.464642 0.885499i \(-0.346183\pi\)
\(462\) −0.476997 2.60482i −0.0221919 0.121187i
\(463\) 3.10829 + 21.6186i 0.144455 + 1.00470i 0.925098 + 0.379727i \(0.123982\pi\)
−0.780644 + 0.624976i \(0.785109\pi\)
\(464\) 0.522489 + 1.14409i 0.0242559 + 0.0531131i
\(465\) −9.23783 2.71247i −0.428394 0.125788i
\(466\) 3.30902 7.24575i 0.153288 0.335653i
\(467\) 1.81684 2.09675i 0.0840733 0.0970258i −0.712154 0.702023i \(-0.752280\pi\)
0.796228 + 0.604997i \(0.206826\pi\)
\(468\) 0.904235 + 0.130009i 0.0417983 + 0.00600968i
\(469\) −1.95073 + 3.30746i −0.0900763 + 0.152724i
\(470\) 5.30126 4.59357i 0.244529 0.211885i
\(471\) 6.13576 + 9.54742i 0.282721 + 0.439922i
\(472\) −9.09095 14.1458i −0.418445 0.651113i
\(473\) 8.39174 + 9.68458i 0.385852 + 0.445297i
\(474\) −1.74536 + 0.512485i −0.0801673 + 0.0235392i
\(475\) 0.147202 1.02381i 0.00675409 0.0469757i
\(476\) −17.0737 + 0.654494i −0.782571 + 0.0299987i
\(477\) −5.77031 2.63521i −0.264204 0.120658i
\(478\) 1.68903 + 0.495943i 0.0772542 + 0.0226839i
\(479\) 15.6147 + 34.1915i 0.713456 + 1.56225i 0.822854 + 0.568253i \(0.192380\pi\)
−0.109398 + 0.993998i \(0.534892\pi\)
\(480\) −8.23563 + 1.18410i −0.375903 + 0.0540467i
\(481\) 7.54050 + 4.84599i 0.343817 + 0.220958i
\(482\) −8.79762 −0.400720
\(483\) 6.75308 10.7422i 0.307276 0.488789i
\(484\) −10.9325 −0.496933
\(485\) 6.57013 + 4.22236i 0.298334 + 0.191728i
\(486\) −0.935528 + 0.134509i −0.0424364 + 0.00610143i
\(487\) 7.65392 + 16.7598i 0.346832 + 0.759457i 0.999997 + 0.00224146i \(0.000713479\pi\)
−0.653165 + 0.757216i \(0.726559\pi\)
\(488\) 22.1372 + 6.50007i 1.00210 + 0.294244i
\(489\) 10.7381 + 4.90391i 0.485592 + 0.221763i
\(490\) 7.32511 + 7.24890i 0.330915 + 0.327472i
\(491\) −2.53481 + 17.6300i −0.114394 + 0.795631i 0.849163 + 0.528130i \(0.177107\pi\)
−0.963558 + 0.267500i \(0.913802\pi\)
\(492\) 13.1478 3.86054i 0.592748 0.174046i
\(493\) −8.55466 9.87261i −0.385283 0.444640i
\(494\) 0.169516 + 0.263772i 0.00762688 + 0.0118677i
\(495\) 0.891810 + 1.38768i 0.0400839 + 0.0623717i
\(496\) 2.62448 2.27413i 0.117843 0.102111i
\(497\) −23.1469 13.6520i −1.03828 0.612375i
\(498\) 4.29864 + 0.618051i 0.192627 + 0.0276955i
\(499\) 26.8542 30.9914i 1.20216 1.38737i 0.301145 0.953578i \(-0.402631\pi\)
0.901015 0.433788i \(-0.142823\pi\)
\(500\) 5.42363 11.8761i 0.242552 0.531115i
\(501\) −1.64997 0.484475i −0.0737152 0.0216447i
\(502\) −1.78894 3.91724i −0.0798444 0.174835i
\(503\) −2.28783 15.9122i −0.102009 0.709491i −0.975073 0.221885i \(-0.928779\pi\)
0.873063 0.487607i \(-0.162130\pi\)
\(504\) −1.39934 7.64162i −0.0623316 0.340385i
\(505\) 19.7399i 0.878415i
\(506\) −3.53720 3.24494i −0.157248 0.144255i
\(507\) 12.3186i 0.547089i
\(508\) −16.8203 10.8098i −0.746281 0.479606i
\(509\) −23.1757 + 3.33217i −1.02725 + 0.147696i −0.635278 0.772283i \(-0.719115\pi\)
−0.391967 + 0.919979i \(0.628205\pi\)
\(510\) −7.81461 + 3.56881i −0.346037 + 0.158030i
\(511\) 35.9032 18.0894i 1.58826 0.800228i
\(512\) 2.61733 5.73115i 0.115671 0.253283i
\(513\) 0.303727 + 0.263181i 0.0134099 + 0.0116197i
\(514\) 3.56150 + 0.512066i 0.157091 + 0.0225863i
\(515\) −1.97081 + 0.578683i −0.0868445 + 0.0254998i
\(516\) 8.76978 + 10.1209i 0.386068 + 0.445546i
\(517\) −4.24470 + 2.72790i −0.186682 + 0.119973i
\(518\) 6.64642 26.3275i 0.292027 1.15676i
\(519\) 0.0332991 + 0.0384293i 0.00146167 + 0.00168686i
\(520\) 1.06366 + 3.62250i 0.0466447 + 0.158857i
\(521\) 0.844130 5.87105i 0.0369820 0.257216i −0.962940 0.269716i \(-0.913070\pi\)
0.999922 + 0.0125007i \(0.00397920\pi\)
\(522\) 1.38559 1.59905i 0.0606455 0.0699886i
\(523\) −17.4852 + 38.2872i −0.764573 + 1.67418i −0.0263233 + 0.999653i \(0.508380\pi\)
−0.738250 + 0.674528i \(0.764347\pi\)
\(524\) −4.53811 + 15.4554i −0.198248 + 0.675171i
\(525\) 6.29783 + 2.58938i 0.274860 + 0.113010i
\(526\) 7.64783 1.09959i 0.333461 0.0479445i
\(527\) −19.5000 + 30.3426i −0.849432 + 1.32174i
\(528\) −0.594979 −0.0258931
\(529\) −1.97859 22.9147i −0.0860258 0.996293i
\(530\) 9.33911i 0.405665i
\(531\) −3.09607 + 4.81758i −0.134358 + 0.209065i
\(532\) −0.735973 + 0.918190i −0.0319085 + 0.0398086i
\(533\) −4.24582 9.29704i −0.183907 0.402700i
\(534\) −2.35328 + 8.01454i −0.101836 + 0.346823i
\(535\) 19.0709 + 8.70939i 0.824507 + 0.376540i
\(536\) 3.22065 + 2.79071i 0.139111 + 0.120540i
\(537\) −12.5618 1.80611i −0.542081 0.0779395i
\(538\) 4.00914 + 13.6539i 0.172846 + 0.588660i
\(539\) −4.47337 5.91103i −0.192682 0.254606i
\(540\) 0.931985 + 1.45020i 0.0401062 + 0.0624065i
\(541\) 10.3918 6.67843i 0.446780 0.287128i −0.297841 0.954615i \(-0.596267\pi\)
0.744621 + 0.667487i \(0.232630\pi\)
\(542\) 20.1615 17.4700i 0.866009 0.750401i
\(543\) −3.45402 11.7633i −0.148226 0.504812i
\(544\) −4.43596 + 30.8527i −0.190190 + 1.32280i
\(545\) −9.53196 8.25949i −0.408304 0.353798i
\(546\) −1.95683 + 0.656983i −0.0837445 + 0.0281163i
\(547\) −29.7768 8.74325i −1.27316 0.373834i −0.425785 0.904824i \(-0.640002\pi\)
−0.847378 + 0.530990i \(0.821820\pi\)
\(548\) −13.7435 + 6.27647i −0.587095 + 0.268117i
\(549\) −1.11823 7.77749i −0.0477251 0.331935i
\(550\) 1.39270 2.16709i 0.0593850 0.0924049i
\(551\) −0.899684 −0.0383278
\(552\) −10.3769 9.51951i −0.441670 0.405177i
\(553\) −3.71777 + 3.47955i −0.158095 + 0.147966i
\(554\) 12.3002 + 7.90487i 0.522586 + 0.335846i
\(555\) 2.40713 + 16.7419i 0.102177 + 0.710656i
\(556\) 9.59037 4.37977i 0.406722 0.185744i
\(557\) 1.32302 4.50578i 0.0560580 0.190916i −0.926704 0.375793i \(-0.877370\pi\)
0.982762 + 0.184877i \(0.0591886\pi\)
\(558\) −5.31400 2.42682i −0.224960 0.102736i
\(559\) 6.54120 7.54894i 0.276663 0.319286i
\(560\) 1.89848 1.32551i 0.0802255 0.0560130i
\(561\) 5.92928 1.74099i 0.250335 0.0735049i
\(562\) 11.7573 10.1877i 0.495951 0.429744i
\(563\) 16.8589 10.8345i 0.710517 0.456621i −0.134810 0.990872i \(-0.543042\pi\)
0.845326 + 0.534250i \(0.179406\pi\)
\(564\) −4.43592 + 2.85079i −0.186786 + 0.120040i
\(565\) −8.34922 + 7.23464i −0.351254 + 0.304364i
\(566\) 10.5875 3.10877i 0.445026 0.130671i
\(567\) −2.16932 + 1.51461i −0.0911030 + 0.0636076i
\(568\) −19.5305 + 22.5394i −0.819482 + 0.945733i
\(569\) −32.2668 14.7357i −1.35269 0.617755i −0.398562 0.917141i \(-0.630491\pi\)
−0.954132 + 0.299387i \(0.903218\pi\)
\(570\) −0.166692 + 0.567700i −0.00698196 + 0.0237784i
\(571\) 7.45264 3.40351i 0.311883 0.142432i −0.253323 0.967382i \(-0.581524\pi\)
0.565207 + 0.824949i \(0.308796\pi\)
\(572\) −0.137678 0.957574i −0.00575662 0.0400382i
\(573\) 7.13797 + 4.58729i 0.298193 + 0.191637i
\(574\) −22.6058 + 21.1574i −0.943548 + 0.883092i
\(575\) 11.9368 3.14053i 0.497800 0.130969i
\(576\) −6.17224 −0.257176
\(577\) 12.1400 18.8901i 0.505393 0.786407i −0.491009 0.871154i \(-0.663372\pi\)
0.996402 + 0.0847473i \(0.0270083\pi\)
\(578\) 2.29360 + 15.9523i 0.0954011 + 0.663529i
\(579\) −5.36905 + 2.45196i −0.223130 + 0.101900i
\(580\) −3.70277 1.08723i −0.153749 0.0451448i
\(581\) 11.5247 3.86929i 0.478125 0.160525i
\(582\) 3.58140 + 3.10330i 0.148454 + 0.128636i
\(583\) −0.956037 + 6.64938i −0.0395950 + 0.275389i
\(584\) −12.5702 42.8102i −0.520159 1.77150i
\(585\) 0.971732 0.842011i 0.0401762 0.0348129i
\(586\) −10.7518 + 6.90976i −0.444153 + 0.285440i
\(587\) −4.18832 6.51716i −0.172871 0.268992i 0.743997 0.668183i \(-0.232928\pi\)
−0.916868 + 0.399191i \(0.869291\pi\)
\(588\) −4.67489 6.17732i −0.192789 0.254748i
\(589\) 0.699839 + 2.38343i 0.0288364 + 0.0982077i
\(590\) −8.34509 1.19984i −0.343562 0.0493967i
\(591\) −0.789748 0.684320i −0.0324859 0.0281492i
\(592\) −5.54949 2.53437i −0.228083 0.104162i
\(593\) −10.0833 + 34.3406i −0.414072 + 1.41020i 0.443702 + 0.896174i \(0.353665\pi\)
−0.857774 + 0.514026i \(0.828153\pi\)
\(594\) 0.415789 + 0.910452i 0.0170600 + 0.0373563i
\(595\) −15.0408 + 18.7647i −0.616611 + 0.769276i
\(596\) 10.9975 17.1124i 0.450474 0.700951i
\(597\) 22.0063i 0.900656i
\(598\) −2.11124 + 3.08908i −0.0863349 + 0.126322i
\(599\) −13.8023 −0.563948 −0.281974 0.959422i \(-0.590989\pi\)
−0.281974 + 0.959422i \(0.590989\pi\)
\(600\) 4.08569 6.35746i 0.166798 0.259542i
\(601\) 20.2026 2.90469i 0.824079 0.118485i 0.282642 0.959226i \(-0.408789\pi\)
0.541438 + 0.840741i \(0.317880\pi\)
\(602\) −27.9862 11.5066i −1.14063 0.468976i
\(603\) 0.408888 1.39255i 0.0166512 0.0567088i
\(604\) −2.98398 + 6.53400i −0.121416 + 0.265865i
\(605\) −10.0766 + 11.6290i −0.409672 + 0.472787i
\(606\) −1.70460 + 11.8558i −0.0692448 + 0.481608i
\(607\) −2.30162 7.83861i −0.0934200 0.318159i 0.899504 0.436913i \(-0.143928\pi\)
−0.992924 + 0.118754i \(0.962110\pi\)
\(608\) 1.40580 + 1.62237i 0.0570125 + 0.0657960i
\(609\) 1.44976 5.74272i 0.0587472 0.232707i
\(610\) 9.73154 6.25408i 0.394019 0.253220i
\(611\) 2.57558 + 2.97237i 0.104197 + 0.120249i
\(612\) 6.19639 1.81943i 0.250474 0.0735459i
\(613\) 8.07931 + 1.16163i 0.326320 + 0.0469178i 0.303528 0.952822i \(-0.401835\pi\)
0.0227921 + 0.999740i \(0.492744\pi\)
\(614\) −11.9676 10.3700i −0.482974 0.418499i
\(615\) 8.01193 17.5437i 0.323072 0.707429i
\(616\) −7.34709 + 3.70175i −0.296023 + 0.149148i
\(617\) 6.69526 3.05762i 0.269541 0.123095i −0.276060 0.961140i \(-0.589029\pi\)
0.545601 + 0.838045i \(0.316302\pi\)
\(618\) −1.23364 + 0.177371i −0.0496243 + 0.00713490i
\(619\) 9.08408 + 5.83799i 0.365120 + 0.234648i 0.710317 0.703882i \(-0.248552\pi\)
−0.345197 + 0.938530i \(0.612188\pi\)
\(620\) 10.6551i 0.427917i
\(621\) −1.48096 + 4.56144i −0.0594289 + 0.183044i
\(622\) 8.93544i 0.358278i
\(623\) 4.21175 + 22.9998i 0.168740 + 0.921467i
\(624\) 0.0660020 + 0.459054i 0.00264219 + 0.0183769i
\(625\) −2.28792 5.00985i −0.0915168 0.200394i
\(626\) 14.6593 + 4.30437i 0.585905 + 0.172037i
\(627\) 0.176799 0.387135i 0.00706065 0.0154607i
\(628\) 8.22501 9.49216i 0.328213 0.378778i
\(629\) 62.7196 + 9.01771i 2.50079 + 0.359560i
\(630\) −3.35505 1.97880i −0.133668 0.0788372i
\(631\) −5.78062 + 5.00893i −0.230123 + 0.199403i −0.762288 0.647238i \(-0.775924\pi\)
0.532165 + 0.846641i \(0.321379\pi\)
\(632\) 3.05529 + 4.75412i 0.121533 + 0.189109i
\(633\) 2.92096 + 4.54510i 0.116098 + 0.180651i
\(634\) −3.87805 4.47551i −0.154017 0.177745i
\(635\) −27.0018 + 7.92846i −1.07154 + 0.314631i
\(636\) −0.999106 + 6.94893i −0.0396171 + 0.275543i
\(637\) −4.06440 + 4.10713i −0.161037 + 0.162731i
\(638\) −2.03818 0.930803i −0.0806921 0.0368509i
\(639\) 9.74559 + 2.86156i 0.385530 + 0.113202i
\(640\) 3.13794 + 6.87114i 0.124038 + 0.271606i
\(641\) −7.65897 + 1.10119i −0.302511 + 0.0434946i −0.291899 0.956449i \(-0.594287\pi\)
−0.0106122 + 0.999944i \(0.503378\pi\)
\(642\) 10.7019 + 6.87768i 0.422370 + 0.271441i
\(643\) 20.4973 0.808336 0.404168 0.914685i \(-0.367561\pi\)
0.404168 + 0.914685i \(0.367561\pi\)
\(644\) −13.5124 3.82152i −0.532462 0.150589i
\(645\) 18.8488 0.742171
\(646\) 1.86467 + 1.19835i 0.0733644 + 0.0471484i
\(647\) 10.9825 1.57904i 0.431765 0.0620784i 0.0769937 0.997032i \(-0.475468\pi\)
0.354771 + 0.934953i \(0.384559\pi\)
\(648\) 1.21978 + 2.67094i 0.0479174 + 0.104924i
\(649\) 5.81882 + 1.70856i 0.228409 + 0.0670669i
\(650\) −1.82650 0.834136i −0.0716413 0.0327175i
\(651\) −16.3413 + 0.626418i −0.640465 + 0.0245512i
\(652\) 1.85925 12.9314i 0.0728140 0.506432i
\(653\) −3.94998 + 1.15982i −0.154575 + 0.0453873i −0.358104 0.933682i \(-0.616577\pi\)
0.203530 + 0.979069i \(0.434759\pi\)
\(654\) −5.01165 5.78376i −0.195971 0.226163i
\(655\) 12.2572 + 19.0726i 0.478928 + 0.745227i
\(656\) 3.76099 + 5.85221i 0.146842 + 0.228490i
\(657\) −11.4838 + 9.95076i −0.448025 + 0.388216i
\(658\) 6.05283 10.2626i 0.235964 0.400076i
\(659\) −43.3481 6.23251i −1.68860 0.242784i −0.770021 0.638019i \(-0.779754\pi\)
−0.918580 + 0.395235i \(0.870663\pi\)
\(660\) 1.19547 1.37965i 0.0465338 0.0537028i
\(661\) 5.83023 12.7664i 0.226770 0.496556i −0.761709 0.647920i \(-0.775639\pi\)
0.988478 + 0.151364i \(0.0483665\pi\)
\(662\) −14.8474 4.35960i −0.577062 0.169441i
\(663\) −2.00100 4.38159i −0.0777126 0.170167i
\(664\) −1.92009 13.3546i −0.0745141 0.518257i
\(665\) 0.298334 + 1.62916i 0.0115689 + 0.0631762i
\(666\) 10.2631i 0.397686i
\(667\) −4.18150 9.88838i −0.161908 0.382879i
\(668\) 1.90310i 0.0736332i
\(669\) 16.6185 + 10.6801i 0.642509 + 0.412916i
\(670\) 2.11493 0.304081i 0.0817070 0.0117477i
\(671\) −7.56902 + 3.45665i −0.292199 + 0.133443i
\(672\) −12.6210 + 6.35894i −0.486865 + 0.245301i
\(673\) 14.1249 30.9292i 0.544475 1.19223i −0.414839 0.909895i \(-0.636162\pi\)
0.959314 0.282340i \(-0.0911106\pi\)
\(674\) 11.6251 + 10.0732i 0.447782 + 0.388005i
\(675\) −2.54750 0.366276i −0.0980535 0.0140980i
\(676\) 13.0807 3.84084i 0.503104 0.147725i
\(677\) −21.4608 24.7670i −0.824804 0.951875i 0.174659 0.984629i \(-0.444118\pi\)
−0.999463 + 0.0327540i \(0.989572\pi\)
\(678\) −5.63927 + 3.62414i −0.216575 + 0.139184i
\(679\) 12.8620 + 3.24703i 0.493597 + 0.124609i
\(680\) 17.4779 + 20.1706i 0.670246 + 0.773506i
\(681\) 1.38819 + 4.72773i 0.0531954 + 0.181167i
\(682\) −0.880435 + 6.12356i −0.0337136 + 0.234483i
\(683\) 14.5853 16.8324i 0.558092 0.644072i −0.404658 0.914468i \(-0.632609\pi\)
0.962749 + 0.270396i \(0.0871547\pi\)
\(684\) 0.184763 0.404575i 0.00706460 0.0154693i
\(685\) −5.99121 + 20.4042i −0.228912 + 0.779603i
\(686\) 15.7138 + 7.71224i 0.599958 + 0.294455i
\(687\) −20.7815 + 2.98793i −0.792865 + 0.113997i
\(688\) −3.67562 + 5.71938i −0.140132 + 0.218049i
\(689\) 5.23636 0.199490
\(690\) −7.01430 + 0.806424i −0.267030 + 0.0307000i
\(691\) 5.63236i 0.214265i −0.994245 0.107132i \(-0.965833\pi\)
0.994245 0.107132i \(-0.0341669\pi\)
\(692\) 0.0304243 0.0473412i 0.00115656 0.00179964i
\(693\) 2.18620 + 1.75234i 0.0830470 + 0.0665661i
\(694\) −11.2247 24.5787i −0.426085 0.932996i
\(695\) 4.18072 14.2382i 0.158584 0.540086i
\(696\) −5.97928 2.73065i −0.226644 0.103505i
\(697\) −54.6047 47.3152i −2.06830 1.79219i
\(698\) 13.8239 + 1.98758i 0.523243 + 0.0752310i
\(699\) 2.37441 + 8.08648i 0.0898083 + 0.305859i
\(700\) 0.785956 7.49480i 0.0297064 0.283277i
\(701\) −5.36738 8.35180i −0.202723 0.315443i 0.724975 0.688776i \(-0.241851\pi\)
−0.927698 + 0.373332i \(0.878215\pi\)
\(702\) 0.656332 0.421799i 0.0247716 0.0159198i
\(703\) 3.29807 2.85780i 0.124389 0.107784i
\(704\) 1.84150 + 6.27156i 0.0694040 + 0.236368i
\(705\) −1.05621 + 7.34612i −0.0397793 + 0.276671i
\(706\) 0.264913 + 0.229548i 0.00997013 + 0.00863917i
\(707\) 10.6716 + 31.7855i 0.401348 + 1.19542i
\(708\) 6.08095 + 1.78553i 0.228536 + 0.0671043i
\(709\) −23.8029 + 10.8704i −0.893938 + 0.408248i −0.808774 0.588119i \(-0.799869\pi\)
−0.0851639 + 0.996367i \(0.527141\pi\)
\(710\) 2.12808 + 14.8011i 0.0798655 + 0.555477i
\(711\) 1.04053 1.61909i 0.0390228 0.0607207i
\(712\) 25.9499 0.972513
\(713\) −22.9435 + 18.7695i −0.859241 + 0.702922i
\(714\) −10.6539 + 9.97122i −0.398710 + 0.373164i
\(715\) −1.14548 0.736154i −0.0428384 0.0275306i
\(716\) 1.99882 + 13.9021i 0.0746993 + 0.519545i
\(717\) −1.69418 + 0.773707i −0.0632704 + 0.0288946i
\(718\) −2.97639 + 10.1366i −0.111078 + 0.378296i
\(719\) −13.1777 6.01803i −0.491443 0.224435i 0.154249 0.988032i \(-0.450704\pi\)
−0.645693 + 0.763597i \(0.723431\pi\)
\(720\) −0.573101 + 0.661394i −0.0213582 + 0.0246487i
\(721\) −2.86059 + 1.99725i −0.106534 + 0.0743815i
\(722\) −17.0839 + 5.01629i −0.635798 + 0.186687i
\(723\) 7.03466 6.09557i 0.261622 0.226697i
\(724\) −11.4141 + 7.33540i −0.424202 + 0.272618i
\(725\) 4.84696 3.11495i 0.180012 0.115686i
\(726\) −7.05620 + 6.11423i −0.261880 + 0.226920i
\(727\) −14.2623 + 4.18779i −0.528960 + 0.155317i −0.535298 0.844663i \(-0.679801\pi\)
0.00633825 + 0.999980i \(0.497982\pi\)
\(728\) 3.67110 + 5.25798i 0.136060 + 0.194874i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) −20.3491 9.29312i −0.753154 0.343954i
\(731\) 19.8938 67.7521i 0.735799 2.50590i
\(732\) −7.90999 + 3.61237i −0.292362 + 0.133517i
\(733\) −0.472756 3.28809i −0.0174617 0.121448i 0.979226 0.202771i \(-0.0649947\pi\)
−0.996688 + 0.0813225i \(0.974086\pi\)
\(734\) 17.9473 + 11.5341i 0.662449 + 0.425730i
\(735\) −10.8797 0.720968i −0.401305 0.0265933i
\(736\) −11.2976 + 22.9914i −0.416437 + 0.847474i
\(737\) −1.53695 −0.0566141
\(738\) 6.32691 9.84486i 0.232897 0.362394i
\(739\) −1.08578 7.55180i −0.0399412 0.277797i 0.960057 0.279805i \(-0.0902699\pi\)
−0.999998 + 0.00200802i \(0.999361\pi\)
\(740\) 17.0272 7.77605i 0.625932 0.285853i
\(741\) −0.318305 0.0934628i −0.0116932 0.00343344i
\(742\) −5.04883 15.0380i −0.185348 0.552061i
\(743\) −12.0410 10.4336i −0.441742 0.382771i 0.405399 0.914140i \(-0.367133\pi\)
−0.847141 + 0.531368i \(0.821678\pi\)
\(744\) −2.58288 + 17.9643i −0.0946931 + 0.658605i
\(745\) −8.06613 27.4707i −0.295520 1.00645i
\(746\) −11.0570 + 9.58097i −0.404827 + 0.350784i
\(747\) −3.86546 + 2.48418i −0.141430 + 0.0908913i
\(748\) −3.69741 5.75328i −0.135191 0.210361i
\(749\) 35.4167 + 3.71403i 1.29410 + 0.135708i
\(750\) −3.14136 10.6985i −0.114706 0.390653i
\(751\) 5.83277 + 0.838625i 0.212841 + 0.0306019i 0.247910 0.968783i \(-0.420256\pi\)
−0.0350695 + 0.999385i \(0.511165\pi\)
\(752\) −2.02310 1.75303i −0.0737749 0.0639263i
\(753\) 4.14457 + 1.89276i 0.151037 + 0.0689761i
\(754\) −0.492060 + 1.67580i −0.0179198 + 0.0610291i
\(755\) 4.19991 + 9.19652i 0.152850 + 0.334696i
\(756\) 2.28469 + 1.83129i 0.0830933 + 0.0666032i
\(757\) −4.03001 + 6.27082i −0.146473 + 0.227917i −0.906736 0.421699i \(-0.861434\pi\)
0.760263 + 0.649616i \(0.225070\pi\)
\(758\) 30.7386i 1.11648i
\(759\) 5.07669 + 0.143880i 0.184272 + 0.00522251i
\(760\) 1.83813 0.0666760
\(761\) −20.8232 + 32.4015i −0.754840 + 1.17455i 0.224920 + 0.974377i \(0.427788\pi\)
−0.979760 + 0.200177i \(0.935848\pi\)
\(762\) −16.9019 + 2.43013i −0.612292 + 0.0880343i
\(763\) −19.8137 8.14646i −0.717303 0.294922i
\(764\) 2.64553 9.00984i 0.0957119 0.325965i
\(765\) 3.77593 8.26813i 0.136519 0.298935i
\(766\) 17.5463 20.2495i 0.633974 0.731645i
\(767\) 0.672742 4.67903i 0.0242913 0.168950i
\(768\) 4.76914 + 16.2422i 0.172092 + 0.586090i
\(769\) 29.0494 + 33.5248i 1.04755 + 1.20893i 0.977400 + 0.211397i \(0.0678013\pi\)
0.0701469 + 0.997537i \(0.477653\pi\)
\(770\) −1.00966 + 3.99941i −0.0363855 + 0.144129i
\(771\) −3.20260 + 2.05819i −0.115339 + 0.0741238i
\(772\) 4.27769 + 4.93671i 0.153957 + 0.177676i
\(773\)