Properties

Label 192.2.r.a.133.14
Level $192$
Weight $2$
Character 192.133
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 133.14
Character \(\chi\) \(=\) 192.133
Dual form 192.2.r.a.13.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.11696 - 0.867416i) q^{2} +(0.831470 + 0.555570i) q^{3} +(0.495179 - 1.93773i) q^{4} +(-0.668642 - 0.133001i) q^{5} +(1.41063 - 0.100683i) q^{6} +(0.440731 - 1.06402i) q^{7} +(-1.12772 - 2.59388i) q^{8} +(0.382683 + 0.923880i) q^{9} +O(q^{10})\) \(q+(1.11696 - 0.867416i) q^{2} +(0.831470 + 0.555570i) q^{3} +(0.495179 - 1.93773i) q^{4} +(-0.668642 - 0.133001i) q^{5} +(1.41063 - 0.100683i) q^{6} +(0.440731 - 1.06402i) q^{7} +(-1.12772 - 2.59388i) q^{8} +(0.382683 + 0.923880i) q^{9} +(-0.862210 + 0.431434i) q^{10} +(1.16209 + 1.73918i) q^{11} +(1.48827 - 1.33606i) q^{12} +(1.13856 - 0.226473i) q^{13} +(-0.430670 - 1.57076i) q^{14} +(-0.482064 - 0.482064i) q^{15} +(-3.50959 - 1.91905i) q^{16} +(-4.47057 + 4.47057i) q^{17} +(1.22883 + 0.699987i) q^{18} +(0.731601 + 3.67801i) q^{19} +(-0.588818 + 1.22979i) q^{20} +(0.957593 - 0.639843i) q^{21} +(2.80659 + 0.934580i) q^{22} +(1.46515 - 0.606887i) q^{23} +(0.503417 - 2.78327i) q^{24} +(-4.19001 - 1.73556i) q^{25} +(1.07527 - 1.24056i) q^{26} +(-0.195090 + 0.980785i) q^{27} +(-1.84354 - 1.38090i) q^{28} +(-3.43347 + 5.13856i) q^{29} +(-0.956594 - 0.120294i) q^{30} -6.02971i q^{31} +(-5.58467 + 0.900787i) q^{32} +2.09170i q^{33} +(-1.11559 + 8.87128i) q^{34} +(-0.436207 + 0.652830i) q^{35} +(1.97973 - 0.284051i) q^{36} +(0.203687 - 1.02400i) q^{37} +(4.00753 + 3.47357i) q^{38} +(1.07250 + 0.444243i) q^{39} +(0.409054 + 1.88437i) q^{40} +(-6.26769 + 2.59616i) q^{41} +(0.514578 - 1.54531i) q^{42} +(7.89573 - 5.27576i) q^{43} +(3.94551 - 1.39060i) q^{44} +(-0.133001 - 0.668642i) q^{45} +(1.11009 - 1.94876i) q^{46} +(0.154883 - 0.154883i) q^{47} +(-1.85196 - 3.54546i) q^{48} +(4.01185 + 4.01185i) q^{49} +(-6.18550 + 1.69594i) q^{50} +(-6.20086 + 1.23343i) q^{51} +(0.124946 - 2.31836i) q^{52} +(-4.50589 - 6.74354i) q^{53} +(0.632842 + 1.26472i) q^{54} +(-0.545706 - 1.31745i) q^{55} +(-3.25697 + 0.0567146i) q^{56} +(-1.43509 + 3.46461i) q^{57} +(0.622228 + 8.71779i) q^{58} +(5.69944 + 1.13369i) q^{59} +(-1.17282 + 0.695401i) q^{60} +(9.02079 + 6.02750i) q^{61} +(-5.23027 - 6.73492i) q^{62} +1.15169 q^{63} +(-5.45648 + 5.85037i) q^{64} -0.791408 q^{65} +(1.81437 + 2.33634i) q^{66} +(1.77800 + 1.18802i) q^{67} +(6.44903 + 10.8765i) q^{68} +(1.55540 + 0.309388i) q^{69} +(0.0790513 + 1.10756i) q^{70} +(3.89298 - 9.39848i) q^{71} +(1.96488 - 2.03452i) q^{72} +(-1.36156 - 3.28710i) q^{73} +(-0.660728 - 1.32045i) q^{74} +(-2.51964 - 3.77090i) q^{75} +(7.48926 + 0.403628i) q^{76} +(2.36269 - 0.469969i) q^{77} +(1.58328 - 0.434102i) q^{78} +(-6.41645 - 6.41645i) q^{79} +(2.09143 + 1.74994i) q^{80} +(-0.707107 + 0.707107i) q^{81} +(-4.74878 + 8.33649i) q^{82} +(1.53602 + 7.72209i) q^{83} +(-0.765663 - 2.17239i) q^{84} +(3.58380 - 2.39462i) q^{85} +(4.24290 - 12.7417i) q^{86} +(-5.70966 + 2.36502i) q^{87} +(3.20073 - 4.97564i) q^{88} +(-10.4082 - 4.31121i) q^{89} +(-0.728547 - 0.631476i) q^{90} +(0.260826 - 1.31126i) q^{91} +(-0.450468 - 3.13959i) q^{92} +(3.34993 - 5.01352i) q^{93} +(0.0386495 - 0.307346i) q^{94} -2.55657i q^{95} +(-5.14394 - 2.35370i) q^{96} -12.9952i q^{97} +(7.96101 + 1.00112i) q^{98} +(-1.16209 + 1.73918i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{1}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.11696 0.867416i 0.789807 0.613356i
\(3\) 0.831470 + 0.555570i 0.480049 + 0.320759i
\(4\) 0.495179 1.93773i 0.247590 0.968865i
\(5\) −0.668642 0.133001i −0.299026 0.0594799i 0.0432973 0.999062i \(-0.486214\pi\)
−0.342323 + 0.939582i \(0.611214\pi\)
\(6\) 1.41063 0.100683i 0.575885 0.0411035i
\(7\) 0.440731 1.06402i 0.166581 0.402162i −0.818441 0.574590i \(-0.805161\pi\)
0.985022 + 0.172429i \(0.0551614\pi\)
\(8\) −1.12772 2.59388i −0.398711 0.917077i
\(9\) 0.382683 + 0.923880i 0.127561 + 0.307960i
\(10\) −0.862210 + 0.431434i −0.272655 + 0.136431i
\(11\) 1.16209 + 1.73918i 0.350382 + 0.524384i 0.964239 0.265033i \(-0.0853829\pi\)
−0.613857 + 0.789417i \(0.710383\pi\)
\(12\) 1.48827 1.33606i 0.429627 0.385686i
\(13\) 1.13856 0.226473i 0.315779 0.0628123i −0.0346564 0.999399i \(-0.511034\pi\)
0.350435 + 0.936587i \(0.386034\pi\)
\(14\) −0.430670 1.57076i −0.115101 0.419803i
\(15\) −0.482064 0.482064i −0.124468 0.124468i
\(16\) −3.50959 1.91905i −0.877399 0.479762i
\(17\) −4.47057 + 4.47057i −1.08427 + 1.08427i −0.0881675 + 0.996106i \(0.528101\pi\)
−0.996106 + 0.0881675i \(0.971899\pi\)
\(18\) 1.22883 + 0.699987i 0.289638 + 0.164988i
\(19\) 0.731601 + 3.67801i 0.167841 + 0.843793i 0.969326 + 0.245778i \(0.0790435\pi\)
−0.801485 + 0.598014i \(0.795957\pi\)
\(20\) −0.588818 + 1.22979i −0.131664 + 0.274989i
\(21\) 0.957593 0.639843i 0.208964 0.139625i
\(22\) 2.80659 + 0.934580i 0.598368 + 0.199253i
\(23\) 1.46515 0.606887i 0.305506 0.126545i −0.224664 0.974436i \(-0.572128\pi\)
0.530169 + 0.847892i \(0.322128\pi\)
\(24\) 0.503417 2.78327i 0.102759 0.568132i
\(25\) −4.19001 1.73556i −0.838001 0.347111i
\(26\) 1.07527 1.24056i 0.210878 0.243294i
\(27\) −0.195090 + 0.980785i −0.0375451 + 0.188752i
\(28\) −1.84354 1.38090i −0.348397 0.260965i
\(29\) −3.43347 + 5.13856i −0.637580 + 0.954206i 0.362176 + 0.932110i \(0.382034\pi\)
−0.999756 + 0.0220962i \(0.992966\pi\)
\(30\) −0.956594 0.120294i −0.174649 0.0219626i
\(31\) 6.02971i 1.08297i −0.840711 0.541484i \(-0.817863\pi\)
0.840711 0.541484i \(-0.182137\pi\)
\(32\) −5.58467 + 0.900787i −0.987240 + 0.159238i
\(33\) 2.09170i 0.364118i
\(34\) −1.11559 + 8.87128i −0.191321 + 1.52141i
\(35\) −0.436207 + 0.652830i −0.0737325 + 0.110348i
\(36\) 1.97973 0.284051i 0.329954 0.0473418i
\(37\) 0.203687 1.02400i 0.0334859 0.168345i −0.960424 0.278543i \(-0.910148\pi\)
0.993910 + 0.110198i \(0.0351485\pi\)
\(38\) 4.00753 + 3.47357i 0.650107 + 0.563487i
\(39\) 1.07250 + 0.444243i 0.171737 + 0.0711358i
\(40\) 0.409054 + 1.88437i 0.0646771 + 0.297945i
\(41\) −6.26769 + 2.59616i −0.978848 + 0.405452i −0.813999 0.580866i \(-0.802714\pi\)
−0.164849 + 0.986319i \(0.552714\pi\)
\(42\) 0.514578 1.54531i 0.0794012 0.238446i
\(43\) 7.89573 5.27576i 1.20409 0.804546i 0.218854 0.975758i \(-0.429768\pi\)
0.985234 + 0.171212i \(0.0547682\pi\)
\(44\) 3.94551 1.39060i 0.594808 0.209641i
\(45\) −0.133001 0.668642i −0.0198266 0.0996752i
\(46\) 1.11009 1.94876i 0.163674 0.287330i
\(47\) 0.154883 0.154883i 0.0225920 0.0225920i −0.695721 0.718313i \(-0.744915\pi\)
0.718313 + 0.695721i \(0.244915\pi\)
\(48\) −1.85196 3.54546i −0.267307 0.511743i
\(49\) 4.01185 + 4.01185i 0.573122 + 0.573122i
\(50\) −6.18550 + 1.69594i −0.874762 + 0.239842i
\(51\) −6.20086 + 1.23343i −0.868294 + 0.172715i
\(52\) 0.124946 2.31836i 0.0173269 0.321499i
\(53\) −4.50589 6.74354i −0.618932 0.926297i −0.999998 0.00174951i \(-0.999443\pi\)
0.381067 0.924548i \(-0.375557\pi\)
\(54\) 0.632842 + 1.26472i 0.0861188 + 0.172106i
\(55\) −0.545706 1.31745i −0.0735829 0.177645i
\(56\) −3.25697 + 0.0567146i −0.435231 + 0.00757880i
\(57\) −1.43509 + 3.46461i −0.190082 + 0.458898i
\(58\) 0.622228 + 8.71779i 0.0817026 + 1.14470i
\(59\) 5.69944 + 1.13369i 0.742004 + 0.147594i 0.551596 0.834111i \(-0.314019\pi\)
0.190408 + 0.981705i \(0.439019\pi\)
\(60\) −1.17282 + 0.695401i −0.151410 + 0.0897759i
\(61\) 9.02079 + 6.02750i 1.15499 + 0.771742i 0.977199 0.212325i \(-0.0681037\pi\)
0.177795 + 0.984068i \(0.443104\pi\)
\(62\) −5.23027 6.73492i −0.664245 0.855336i
\(63\) 1.15169 0.145099
\(64\) −5.45648 + 5.85037i −0.682059 + 0.731297i
\(65\) −0.791408 −0.0981621
\(66\) 1.81437 + 2.33634i 0.223334 + 0.287583i
\(67\) 1.77800 + 1.18802i 0.217217 + 0.145140i 0.659419 0.751776i \(-0.270802\pi\)
−0.442202 + 0.896916i \(0.645802\pi\)
\(68\) 6.44903 + 10.8765i 0.782059 + 1.31897i
\(69\) 1.55540 + 0.309388i 0.187248 + 0.0372460i
\(70\) 0.0790513 + 1.10756i 0.00944843 + 0.132378i
\(71\) 3.89298 9.39848i 0.462011 1.11539i −0.505559 0.862792i \(-0.668714\pi\)
0.967570 0.252602i \(-0.0812863\pi\)
\(72\) 1.96488 2.03452i 0.231563 0.239770i
\(73\) −1.36156 3.28710i −0.159359 0.384726i 0.823952 0.566660i \(-0.191765\pi\)
−0.983311 + 0.181933i \(0.941765\pi\)
\(74\) −0.660728 1.32045i −0.0768080 0.153499i
\(75\) −2.51964 3.77090i −0.290943 0.435427i
\(76\) 7.48926 + 0.403628i 0.859077 + 0.0462993i
\(77\) 2.36269 0.469969i 0.269254 0.0535580i
\(78\) 1.58328 0.434102i 0.179271 0.0491523i
\(79\) −6.41645 6.41645i −0.721907 0.721907i 0.247086 0.968994i \(-0.420527\pi\)
−0.968994 + 0.247086i \(0.920527\pi\)
\(80\) 2.09143 + 1.74994i 0.233829 + 0.195649i
\(81\) −0.707107 + 0.707107i −0.0785674 + 0.0785674i
\(82\) −4.74878 + 8.33649i −0.524415 + 0.920611i
\(83\) 1.53602 + 7.72209i 0.168600 + 0.847609i 0.968794 + 0.247868i \(0.0797299\pi\)
−0.800194 + 0.599741i \(0.795270\pi\)
\(84\) −0.765663 2.17239i −0.0835406 0.237027i
\(85\) 3.58380 2.39462i 0.388718 0.259733i
\(86\) 4.24290 12.7417i 0.457524 1.37397i
\(87\) −5.70966 + 2.36502i −0.612140 + 0.253557i
\(88\) 3.20073 4.97564i 0.341199 0.530405i
\(89\) −10.4082 4.31121i −1.10326 0.456987i −0.244651 0.969611i \(-0.578674\pi\)
−0.858613 + 0.512624i \(0.828674\pi\)
\(90\) −0.728547 0.631476i −0.0767956 0.0665634i
\(91\) 0.260826 1.31126i 0.0273420 0.137457i
\(92\) −0.450468 3.13959i −0.0469646 0.327325i
\(93\) 3.34993 5.01352i 0.347372 0.519878i
\(94\) 0.0386495 0.307346i 0.00398639 0.0317003i
\(95\) 2.55657i 0.262299i
\(96\) −5.14394 2.35370i −0.525001 0.240224i
\(97\) 12.9952i 1.31946i −0.751501 0.659731i \(-0.770670\pi\)
0.751501 0.659731i \(-0.229330\pi\)
\(98\) 7.96101 + 1.00112i 0.804183 + 0.101128i
\(99\) −1.16209 + 1.73918i −0.116794 + 0.174795i
\(100\) −5.43784 + 7.25969i −0.543784 + 0.725969i
\(101\) 1.73740 8.73448i 0.172877 0.869113i −0.792823 0.609453i \(-0.791389\pi\)
0.965700 0.259661i \(-0.0836107\pi\)
\(102\) −5.85619 + 6.75641i −0.579849 + 0.668984i
\(103\) 1.79136 + 0.742006i 0.176508 + 0.0731120i 0.469187 0.883099i \(-0.344547\pi\)
−0.292679 + 0.956211i \(0.594547\pi\)
\(104\) −1.87142 2.69789i −0.183508 0.264550i
\(105\) −0.725386 + 0.300465i −0.0707904 + 0.0293224i
\(106\) −10.8823 3.62376i −1.05699 0.351970i
\(107\) 10.7964 7.21394i 1.04373 0.697398i 0.0893526 0.996000i \(-0.471520\pi\)
0.954378 + 0.298602i \(0.0965202\pi\)
\(108\) 1.80389 + 0.863697i 0.173580 + 0.0831093i
\(109\) −1.32459 6.65919i −0.126873 0.637835i −0.990923 0.134429i \(-0.957080\pi\)
0.864050 0.503406i \(-0.167920\pi\)
\(110\) −1.75231 0.998179i −0.167076 0.0951727i
\(111\) 0.738266 0.738266i 0.0700731 0.0700731i
\(112\) −3.58869 + 2.88849i −0.339100 + 0.272937i
\(113\) 0.344056 + 0.344056i 0.0323661 + 0.0323661i 0.723105 0.690739i \(-0.242714\pi\)
−0.690739 + 0.723105i \(0.742714\pi\)
\(114\) 1.40233 + 5.11463i 0.131340 + 0.479029i
\(115\) −1.06038 + 0.210923i −0.0988809 + 0.0196686i
\(116\) 8.25695 + 9.19765i 0.766639 + 0.853981i
\(117\) 0.644941 + 0.965222i 0.0596248 + 0.0892348i
\(118\) 7.34941 3.67751i 0.676568 0.338542i
\(119\) 2.78646 + 6.72710i 0.255434 + 0.616672i
\(120\) −0.706783 + 1.79405i −0.0645202 + 0.163774i
\(121\) 2.53520 6.12051i 0.230473 0.556410i
\(122\) 15.3042 1.09233i 1.38557 0.0988947i
\(123\) −6.65374 1.32351i −0.599948 0.119337i
\(124\) −11.6840 2.98579i −1.04925 0.268132i
\(125\) 5.40502 + 3.61152i 0.483439 + 0.323024i
\(126\) 1.28638 0.998991i 0.114600 0.0889972i
\(127\) −18.6929 −1.65873 −0.829364 0.558709i \(-0.811297\pi\)
−0.829364 + 0.558709i \(0.811297\pi\)
\(128\) −1.01993 + 11.2676i −0.0901502 + 0.995928i
\(129\) 9.49612 0.836086
\(130\) −0.883967 + 0.686480i −0.0775291 + 0.0602083i
\(131\) −5.80567 3.87922i −0.507244 0.338929i 0.275472 0.961309i \(-0.411166\pi\)
−0.782715 + 0.622380i \(0.786166\pi\)
\(132\) 4.05315 + 1.03577i 0.352781 + 0.0901519i
\(133\) 4.23591 + 0.842575i 0.367300 + 0.0730605i
\(134\) 3.01645 0.215298i 0.260582 0.0185989i
\(135\) 0.260891 0.629847i 0.0224539 0.0542086i
\(136\) 16.6377 + 6.55458i 1.42667 + 0.562050i
\(137\) 4.83221 + 11.6660i 0.412843 + 0.996692i 0.984371 + 0.176109i \(0.0563511\pi\)
−0.571527 + 0.820583i \(0.693649\pi\)
\(138\) 2.00568 1.00361i 0.170735 0.0854326i
\(139\) 8.23383 + 12.3228i 0.698384 + 1.04521i 0.995898 + 0.0904879i \(0.0288426\pi\)
−0.297514 + 0.954718i \(0.596157\pi\)
\(140\) 1.04901 + 1.16852i 0.0886574 + 0.0987580i
\(141\) 0.214829 0.0427321i 0.0180919 0.00359870i
\(142\) −3.80411 13.8745i −0.319234 1.16432i
\(143\) 1.71698 + 1.71698i 0.143581 + 0.143581i
\(144\) 0.429905 3.97683i 0.0358254 0.331403i
\(145\) 2.97920 2.97920i 0.247409 0.247409i
\(146\) −4.37209 2.49051i −0.361837 0.206116i
\(147\) 1.10687 + 5.56460i 0.0912929 + 0.458961i
\(148\) −1.88338 0.901756i −0.154813 0.0741239i
\(149\) 18.8895 12.6215i 1.54748 1.03400i 0.570343 0.821406i \(-0.306810\pi\)
0.977142 0.212590i \(-0.0681898\pi\)
\(150\) −6.08527 2.02636i −0.496860 0.165452i
\(151\) −17.0280 + 7.05323i −1.38572 + 0.573984i −0.946004 0.324154i \(-0.894921\pi\)
−0.439715 + 0.898137i \(0.644921\pi\)
\(152\) 8.71528 6.04547i 0.706903 0.490352i
\(153\) −5.84108 2.41946i −0.472224 0.195601i
\(154\) 2.23137 2.57437i 0.179809 0.207449i
\(155\) −0.801959 + 4.03172i −0.0644149 + 0.323835i
\(156\) 1.39190 1.85823i 0.111441 0.148777i
\(157\) −11.9907 + 17.9454i −0.956964 + 1.43220i −0.0559374 + 0.998434i \(0.517815\pi\)
−0.901027 + 0.433764i \(0.857185\pi\)
\(158\) −12.7326 1.60116i −1.01295 0.127381i
\(159\) 8.11039i 0.643196i
\(160\) 3.85395 + 0.140464i 0.304682 + 0.0111047i
\(161\) 1.82643i 0.143943i
\(162\) −0.176451 + 1.40316i −0.0138633 + 0.110243i
\(163\) 1.37702 2.06085i 0.107856 0.161418i −0.773615 0.633656i \(-0.781554\pi\)
0.881471 + 0.472238i \(0.156554\pi\)
\(164\) 1.92703 + 13.4307i 0.150476 + 1.04876i
\(165\) 0.278198 1.39860i 0.0216577 0.108881i
\(166\) 8.41393 + 7.29286i 0.653047 + 0.566036i
\(167\) 23.4325 + 9.70606i 1.81326 + 0.751078i 0.980233 + 0.197849i \(0.0633956\pi\)
0.833029 + 0.553229i \(0.186604\pi\)
\(168\) −2.73958 1.76232i −0.211363 0.135966i
\(169\) −10.7654 + 4.45918i −0.828109 + 0.343014i
\(170\) 1.92582 5.78333i 0.147703 0.443561i
\(171\) −3.11806 + 2.08342i −0.238444 + 0.159323i
\(172\) −6.31319 17.9122i −0.481377 1.36580i
\(173\) 1.07935 + 5.42627i 0.0820616 + 0.412552i 0.999879 + 0.0155491i \(0.00494963\pi\)
−0.917817 + 0.397003i \(0.870050\pi\)
\(174\) −4.32598 + 7.59427i −0.327952 + 0.575720i
\(175\) −3.69333 + 3.69333i −0.279190 + 0.279190i
\(176\) −0.740872 8.33393i −0.0558454 0.628194i
\(177\) 4.10907 + 4.10907i 0.308857 + 0.308857i
\(178\) −15.3651 + 4.21279i −1.15166 + 0.315762i
\(179\) −23.0535 + 4.58562i −1.72310 + 0.342746i −0.954778 0.297320i \(-0.903907\pi\)
−0.768320 + 0.640066i \(0.778907\pi\)
\(180\) −1.36151 0.0733774i −0.101481 0.00546923i
\(181\) 3.93657 + 5.89150i 0.292603 + 0.437912i 0.948424 0.317005i \(-0.102677\pi\)
−0.655821 + 0.754917i \(0.727677\pi\)
\(182\) −0.846077 1.69086i −0.0627154 0.125335i
\(183\) 4.15181 + 10.0234i 0.306911 + 0.740948i
\(184\) −3.22648 3.11604i −0.237860 0.229718i
\(185\) −0.272387 + 0.657601i −0.0200263 + 0.0483478i
\(186\) −0.607088 8.50567i −0.0445138 0.623666i
\(187\) −12.9703 2.57996i −0.948485 0.188665i
\(188\) −0.223427 0.376816i −0.0162951 0.0274822i
\(189\) 0.957593 + 0.639843i 0.0696546 + 0.0465417i
\(190\) −2.21761 2.85558i −0.160882 0.207165i
\(191\) −5.06823 −0.366724 −0.183362 0.983045i \(-0.558698\pi\)
−0.183362 + 0.983045i \(0.558698\pi\)
\(192\) −7.78719 + 1.83295i −0.561992 + 0.132282i
\(193\) 12.4982 0.899642 0.449821 0.893119i \(-0.351488\pi\)
0.449821 + 0.893119i \(0.351488\pi\)
\(194\) −11.2722 14.5151i −0.809300 1.04212i
\(195\) −0.658032 0.439683i −0.0471226 0.0314863i
\(196\) 9.76048 5.78730i 0.697177 0.413379i
\(197\) −23.9310 4.76017i −1.70501 0.339148i −0.756044 0.654520i \(-0.772871\pi\)
−0.948968 + 0.315372i \(0.897871\pi\)
\(198\) 0.210598 + 2.95060i 0.0149665 + 0.209690i
\(199\) −7.19400 + 17.3679i −0.509969 + 1.23117i 0.433932 + 0.900946i \(0.357126\pi\)
−0.943901 + 0.330229i \(0.892874\pi\)
\(200\) 0.223336 + 12.8256i 0.0157923 + 0.906908i
\(201\) 0.818323 + 1.97561i 0.0577200 + 0.139348i
\(202\) −5.63583 11.2631i −0.396536 0.792467i
\(203\) 3.95429 + 5.91801i 0.277537 + 0.415363i
\(204\) −0.680488 + 12.6264i −0.0476437 + 0.884022i
\(205\) 4.53613 0.902292i 0.316817 0.0630188i
\(206\) 2.64450 0.725067i 0.184251 0.0505178i
\(207\) 1.12138 + 1.12138i 0.0779413 + 0.0779413i
\(208\) −4.43049 1.39012i −0.307199 0.0963872i
\(209\) −5.54655 + 5.54655i −0.383663 + 0.383663i
\(210\) −0.549596 + 0.964817i −0.0379257 + 0.0665787i
\(211\) 3.77623 + 18.9844i 0.259966 + 1.30694i 0.861363 + 0.507989i \(0.169611\pi\)
−0.601397 + 0.798950i \(0.705389\pi\)
\(212\) −15.2984 + 5.39194i −1.05070 + 0.370320i
\(213\) 8.45841 5.65173i 0.579560 0.387250i
\(214\) 5.80164 17.4227i 0.396592 1.19099i
\(215\) −5.98110 + 2.47745i −0.407908 + 0.168961i
\(216\) 2.76405 0.600014i 0.188070 0.0408258i
\(217\) −6.41574 2.65748i −0.435529 0.180402i
\(218\) −7.25580 6.28904i −0.491425 0.425948i
\(219\) 0.694118 3.48957i 0.0469042 0.235803i
\(220\) −2.82308 + 0.405056i −0.190332 + 0.0273089i
\(221\) −4.07754 + 6.10247i −0.274285 + 0.410496i
\(222\) 0.184227 1.46499i 0.0123645 0.0983239i
\(223\) 17.2703i 1.15651i −0.815857 0.578254i \(-0.803734\pi\)
0.815857 0.578254i \(-0.196266\pi\)
\(224\) −1.50289 + 6.33921i −0.100416 + 0.423556i
\(225\) 4.53523i 0.302349i
\(226\) 0.682735 + 0.0858556i 0.0454148 + 0.00571103i
\(227\) 5.86944 8.78423i 0.389568 0.583030i −0.583908 0.811820i \(-0.698477\pi\)
0.973476 + 0.228790i \(0.0734770\pi\)
\(228\) 6.00285 + 4.49641i 0.397548 + 0.297782i
\(229\) −2.52966 + 12.7175i −0.167165 + 0.840393i 0.802631 + 0.596475i \(0.203433\pi\)
−0.969796 + 0.243918i \(0.921567\pi\)
\(230\) −1.00144 + 1.15538i −0.0660330 + 0.0761836i
\(231\) 2.22561 + 0.921878i 0.146434 + 0.0606551i
\(232\) 17.2008 + 3.11116i 1.12929 + 0.204258i
\(233\) 25.2224 10.4475i 1.65237 0.684436i 0.654917 0.755701i \(-0.272704\pi\)
0.997457 + 0.0712652i \(0.0227037\pi\)
\(234\) 1.55762 + 0.518678i 0.101825 + 0.0339071i
\(235\) −0.124161 + 0.0829617i −0.00809936 + 0.00541182i
\(236\) 5.01903 10.4826i 0.326711 0.682359i
\(237\) −1.77030 8.89988i −0.114993 0.578109i
\(238\) 8.94754 + 5.09686i 0.579983 + 0.330380i
\(239\) −4.88796 + 4.88796i −0.316176 + 0.316176i −0.847296 0.531121i \(-0.821771\pi\)
0.531121 + 0.847296i \(0.321771\pi\)
\(240\) 0.766745 + 2.61695i 0.0494932 + 0.168924i
\(241\) 13.5225 + 13.5225i 0.871063 + 0.871063i 0.992588 0.121525i \(-0.0387785\pi\)
−0.121525 + 0.992588i \(0.538778\pi\)
\(242\) −2.47732 9.03541i −0.159248 0.580818i
\(243\) −0.980785 + 0.195090i −0.0629174 + 0.0125150i
\(244\) 16.1466 14.4952i 1.03368 0.927958i
\(245\) −2.14891 3.21607i −0.137289 0.205467i
\(246\) −8.57997 + 4.29326i −0.547039 + 0.273728i
\(247\) 1.66594 + 4.02193i 0.106001 + 0.255909i
\(248\) −15.6404 + 6.79986i −0.993165 + 0.431791i
\(249\) −3.01301 + 7.27405i −0.190942 + 0.460974i
\(250\) 9.16985 0.654494i 0.579952 0.0413938i
\(251\) −7.53300 1.49841i −0.475479 0.0945786i −0.0484672 0.998825i \(-0.515434\pi\)
−0.427012 + 0.904246i \(0.640434\pi\)
\(252\) 0.570292 2.23166i 0.0359250 0.140581i
\(253\) 2.75812 + 1.84292i 0.173402 + 0.115863i
\(254\) −20.8792 + 16.2145i −1.31007 + 1.01739i
\(255\) 4.31020 0.269915
\(256\) 8.63451 + 13.4702i 0.539657 + 0.841885i
\(257\) 3.71961 0.232023 0.116011 0.993248i \(-0.462989\pi\)
0.116011 + 0.993248i \(0.462989\pi\)
\(258\) 10.6067 8.23708i 0.660347 0.512818i
\(259\) −0.999789 0.668038i −0.0621239 0.0415098i
\(260\) −0.391889 + 1.53353i −0.0243039 + 0.0951058i
\(261\) −6.06134 1.20568i −0.375188 0.0746295i
\(262\) −9.84958 + 0.703009i −0.608509 + 0.0434320i
\(263\) 11.3655 27.4387i 0.700826 1.69194i −0.0209159 0.999781i \(-0.506658\pi\)
0.721742 0.692162i \(-0.243342\pi\)
\(264\) 5.42563 2.35886i 0.333924 0.145178i
\(265\) 2.11593 + 5.10830i 0.129980 + 0.313801i
\(266\) 5.46219 2.73318i 0.334908 0.167582i
\(267\) −6.25890 9.36711i −0.383039 0.573258i
\(268\) 3.18249 2.85700i 0.194402 0.174519i
\(269\) −17.8570 + 3.55197i −1.08876 + 0.216568i −0.706659 0.707554i \(-0.749799\pi\)
−0.382099 + 0.924121i \(0.624799\pi\)
\(270\) −0.254935 0.929812i −0.0155149 0.0565866i
\(271\) 18.6968 + 18.6968i 1.13575 + 1.13575i 0.989204 + 0.146544i \(0.0468151\pi\)
0.146544 + 0.989204i \(0.453185\pi\)
\(272\) 24.2691 7.11066i 1.47153 0.431147i
\(273\) 0.945366 0.945366i 0.0572162 0.0572162i
\(274\) 15.5166 + 8.83885i 0.937393 + 0.533974i
\(275\) −1.85069 9.30406i −0.111601 0.561056i
\(276\) 1.36971 2.86074i 0.0824470 0.172196i
\(277\) −15.6474 + 10.4552i −0.940158 + 0.628194i −0.928338 0.371736i \(-0.878763\pi\)
−0.0118201 + 0.999930i \(0.503763\pi\)
\(278\) 19.8858 + 6.62186i 1.19267 + 0.397153i
\(279\) 5.57073 2.30747i 0.333511 0.138145i
\(280\) 2.18529 + 0.395259i 0.130596 + 0.0236212i
\(281\) 2.97902 + 1.23395i 0.177714 + 0.0736114i 0.469766 0.882791i \(-0.344338\pi\)
−0.292053 + 0.956402i \(0.594338\pi\)
\(282\) 0.202888 0.234076i 0.0120818 0.0139390i
\(283\) 3.89011 19.5569i 0.231243 1.16254i −0.674357 0.738405i \(-0.735579\pi\)
0.905600 0.424132i \(-0.139421\pi\)
\(284\) −16.2840 12.1975i −0.966277 0.723787i
\(285\) 1.42036 2.12571i 0.0841346 0.125916i
\(286\) 3.40712 + 0.428454i 0.201468 + 0.0253350i
\(287\) 7.81315i 0.461196i
\(288\) −2.96938 4.81485i −0.174972 0.283718i
\(289\) 22.9720i 1.35130i
\(290\) 0.743428 5.91184i 0.0436556 0.347155i
\(291\) 7.21975 10.8051i 0.423229 0.633407i
\(292\) −7.04373 + 1.01063i −0.412203 + 0.0591429i
\(293\) 0.866994 4.35867i 0.0506503 0.254636i −0.947161 0.320758i \(-0.896062\pi\)
0.997812 + 0.0661214i \(0.0210625\pi\)
\(294\) 6.06315 + 5.25530i 0.353610 + 0.306495i
\(295\) −3.66010 1.51607i −0.213100 0.0882687i
\(296\) −2.88585 + 0.626453i −0.167737 + 0.0364119i
\(297\) −1.93248 + 0.800459i −0.112134 + 0.0464473i
\(298\) 10.1506 30.4827i 0.588007 1.76582i
\(299\) 1.53072 1.02279i 0.0885237 0.0591497i
\(300\) −8.55467 + 3.01510i −0.493904 + 0.174077i
\(301\) −2.13362 10.7264i −0.122980 0.618260i
\(302\) −12.9014 + 22.6485i −0.742394 + 1.30328i
\(303\) 6.29721 6.29721i 0.361765 0.361765i
\(304\) 4.49065 14.3123i 0.257556 0.820866i
\(305\) −5.23001 5.23001i −0.299470 0.299470i
\(306\) −8.62291 + 2.36422i −0.492939 + 0.135154i
\(307\) 23.6281 4.69992i 1.34853 0.268238i 0.532586 0.846376i \(-0.321220\pi\)
0.815939 + 0.578137i \(0.196220\pi\)
\(308\) 0.259284 4.81098i 0.0147741 0.274131i
\(309\) 1.07723 + 1.61218i 0.0612812 + 0.0917138i
\(310\) 2.60142 + 5.19888i 0.147751 + 0.295277i
\(311\) 5.97793 + 14.4320i 0.338977 + 0.818364i 0.997814 + 0.0660782i \(0.0210487\pi\)
−0.658837 + 0.752286i \(0.728951\pi\)
\(312\) −0.0571664 3.28292i −0.00323641 0.185859i
\(313\) 6.58613 15.9003i 0.372270 0.898740i −0.621095 0.783736i \(-0.713312\pi\)
0.993365 0.115004i \(-0.0366882\pi\)
\(314\) 2.17301 + 30.4451i 0.122630 + 1.71812i
\(315\) −0.770066 0.153176i −0.0433883 0.00863047i
\(316\) −15.6107 + 9.25606i −0.878168 + 0.520694i
\(317\) 2.25812 + 1.50882i 0.126828 + 0.0847441i 0.617366 0.786676i \(-0.288200\pi\)
−0.490538 + 0.871420i \(0.663200\pi\)
\(318\) −7.03508 9.05895i −0.394508 0.508001i
\(319\) −12.9269 −0.723767
\(320\) 4.42653 3.18609i 0.247451 0.178108i
\(321\) 12.9848 0.724738
\(322\) −1.58427 2.04004i −0.0882880 0.113687i
\(323\) −19.7135 13.1721i −1.09689 0.732916i
\(324\) 1.02004 + 1.72033i 0.0566687 + 0.0955737i
\(325\) −5.16362 1.02711i −0.286426 0.0569737i
\(326\) −0.249548 3.49632i −0.0138212 0.193643i
\(327\) 2.59829 6.27282i 0.143686 0.346888i
\(328\) 13.8024 + 13.3299i 0.762108 + 0.736021i
\(329\) −0.0965368 0.233060i −0.00532225 0.0128490i
\(330\) −0.902430 1.80348i −0.0496772 0.0992786i
\(331\) −2.90458 4.34702i −0.159650 0.238934i 0.743017 0.669272i \(-0.233394\pi\)
−0.902667 + 0.430339i \(0.858394\pi\)
\(332\) 15.7239 + 0.847429i 0.862962 + 0.0465087i
\(333\) 1.02400 0.203687i 0.0561151 0.0111620i
\(334\) 34.5923 9.48449i 1.89280 0.518968i
\(335\) −1.03084 1.03084i −0.0563206 0.0563206i
\(336\) −4.58865 + 0.407923i −0.250331 + 0.0222540i
\(337\) 3.47075 3.47075i 0.189064 0.189064i −0.606228 0.795291i \(-0.707318\pi\)
0.795291 + 0.606228i \(0.207318\pi\)
\(338\) −8.15652 + 14.3188i −0.443656 + 0.778840i
\(339\) 0.0949248 + 0.477219i 0.00515561 + 0.0259190i
\(340\) −2.86550 8.13021i −0.155404 0.440922i
\(341\) 10.4868 7.00705i 0.567891 0.379453i
\(342\) −1.67554 + 5.03175i −0.0906030 + 0.272086i
\(343\) 13.4850 5.58566i 0.728120 0.301597i
\(344\) −22.5889 14.5310i −1.21791 0.783460i
\(345\) −0.998856 0.413740i −0.0537766 0.0222750i
\(346\) 5.91242 + 5.12466i 0.317854 + 0.275503i
\(347\) 0.825800 4.15158i 0.0443313 0.222868i −0.952269 0.305261i \(-0.901256\pi\)
0.996600 + 0.0823928i \(0.0262562\pi\)
\(348\) 1.75546 + 12.2349i 0.0941026 + 0.655859i
\(349\) −15.6757 + 23.4603i −0.839100 + 1.25580i 0.125502 + 0.992093i \(0.459946\pi\)
−0.964602 + 0.263709i \(0.915054\pi\)
\(350\) −0.921633 + 7.32895i −0.0492634 + 0.391749i
\(351\) 1.16086i 0.0619623i
\(352\) −8.05651 8.66599i −0.429413 0.461899i
\(353\) 3.15845i 0.168107i 0.996461 + 0.0840536i \(0.0267867\pi\)
−0.996461 + 0.0840536i \(0.973213\pi\)
\(354\) 8.15392 + 1.02538i 0.433376 + 0.0544981i
\(355\) −3.85302 + 5.76644i −0.204497 + 0.306051i
\(356\) −13.5079 + 18.0334i −0.715916 + 0.955769i
\(357\) −1.42052 + 7.14145i −0.0751820 + 0.377966i
\(358\) −21.7721 + 25.1189i −1.15069 + 1.32757i
\(359\) 1.03697 + 0.429528i 0.0547293 + 0.0226696i 0.409880 0.912139i \(-0.365571\pi\)
−0.355151 + 0.934809i \(0.615571\pi\)
\(360\) −1.58439 + 1.09903i −0.0835047 + 0.0579241i
\(361\) 4.56122 1.88932i 0.240064 0.0994378i
\(362\) 9.50736 + 3.16590i 0.499695 + 0.166396i
\(363\) 5.50832 3.68054i 0.289112 0.193178i
\(364\) −2.41171 1.15472i −0.126408 0.0605238i
\(365\) 0.473209 + 2.37898i 0.0247689 + 0.124522i
\(366\) 13.3318 + 7.59430i 0.696865 + 0.396961i
\(367\) 12.6171 12.6171i 0.658609 0.658609i −0.296442 0.955051i \(-0.595800\pi\)
0.955051 + 0.296442i \(0.0958000\pi\)
\(368\) −6.30674 0.681775i −0.328762 0.0355400i
\(369\) −4.79708 4.79708i −0.249726 0.249726i
\(370\) 0.266169 + 0.970784i 0.0138375 + 0.0504687i
\(371\) −9.16115 + 1.82227i −0.475623 + 0.0946074i
\(372\) −8.05604 8.97385i −0.417686 0.465273i
\(373\) 2.62282 + 3.92533i 0.135804 + 0.203246i 0.893138 0.449782i \(-0.148498\pi\)
−0.757334 + 0.653028i \(0.773498\pi\)
\(374\) −16.7252 + 8.36898i −0.864839 + 0.432749i
\(375\) 2.48766 + 6.00573i 0.128462 + 0.310135i
\(376\) −0.576414 0.227083i −0.0297263 0.0117109i
\(377\) −2.74546 + 6.62813i −0.141398 + 0.341366i
\(378\) 1.62460 0.115955i 0.0835603 0.00596408i
\(379\) −5.45195 1.08446i −0.280048 0.0557049i 0.0530681 0.998591i \(-0.483100\pi\)
−0.333116 + 0.942886i \(0.608100\pi\)
\(380\) −4.95395 1.26596i −0.254132 0.0649425i
\(381\) −15.5426 10.3852i −0.796271 0.532051i
\(382\) −5.66098 + 4.39626i −0.289641 + 0.224932i
\(383\) −1.01686 −0.0519591 −0.0259796 0.999662i \(-0.508270\pi\)
−0.0259796 + 0.999662i \(0.508270\pi\)
\(384\) −7.10801 + 8.80206i −0.362729 + 0.449178i
\(385\) −1.64230 −0.0836995
\(386\) 13.9600 10.8412i 0.710544 0.551801i
\(387\) 7.89573 + 5.27576i 0.401363 + 0.268182i
\(388\) −25.1812 6.43496i −1.27838 0.326685i
\(389\) −13.7375 2.73255i −0.696516 0.138546i −0.165881 0.986146i \(-0.553047\pi\)
−0.530636 + 0.847600i \(0.678047\pi\)
\(390\) −1.11638 + 0.0796811i −0.0565301 + 0.00403481i
\(391\) −3.83695 + 9.26321i −0.194043 + 0.468461i
\(392\) 5.88202 14.9306i 0.297087 0.754107i
\(393\) −2.67206 6.45091i −0.134787 0.325406i
\(394\) −30.8589 + 15.4412i −1.55465 + 0.777918i
\(395\) 3.43691 + 5.14370i 0.172930 + 0.258808i
\(396\) 2.79463 + 3.11302i 0.140435 + 0.156435i
\(397\) −27.7166 + 5.51318i −1.39106 + 0.276698i −0.833077 0.553157i \(-0.813423\pi\)
−0.557979 + 0.829855i \(0.688423\pi\)
\(398\) 7.02977 + 25.6393i 0.352371 + 1.28518i
\(399\) 3.05392 + 3.05392i 0.152887 + 0.152887i
\(400\) 11.3746 + 14.1319i 0.568730 + 0.706596i
\(401\) −10.1050 + 10.1050i −0.504619 + 0.504619i −0.912870 0.408251i \(-0.866139\pi\)
0.408251 + 0.912870i \(0.366139\pi\)
\(402\) 2.62770 + 1.49684i 0.131058 + 0.0746555i
\(403\) −1.36557 6.86517i −0.0680238 0.341979i
\(404\) −16.0647 7.69174i −0.799251 0.382678i
\(405\) 0.566847 0.378755i 0.0281669 0.0188205i
\(406\) 9.55014 + 3.18014i 0.473965 + 0.157828i
\(407\) 2.01763 0.835731i 0.100010 0.0414256i
\(408\) 10.1922 + 14.6934i 0.504591 + 0.727429i
\(409\) −26.1539 10.8333i −1.29323 0.535673i −0.373282 0.927718i \(-0.621768\pi\)
−0.919946 + 0.392045i \(0.871768\pi\)
\(410\) 4.28399 4.94253i 0.211571 0.244094i
\(411\) −2.46344 + 12.3845i −0.121512 + 0.610884i
\(412\) 2.32485 3.10375i 0.114537 0.152911i
\(413\) 3.71819 5.56467i 0.182960 0.273819i
\(414\) 2.22524 + 0.279829i 0.109364 + 0.0137528i
\(415\) 5.36760i 0.263485i
\(416\) −6.15447 + 2.29038i −0.301747 + 0.112295i
\(417\) 14.8205i 0.725763i
\(418\) −1.38408 + 11.0064i −0.0676978 + 0.538341i
\(419\) 10.2513 15.3421i 0.500807 0.749511i −0.491823 0.870695i \(-0.663669\pi\)
0.992630 + 0.121185i \(0.0386693\pi\)
\(420\) 0.223023 + 1.55439i 0.0108824 + 0.0758463i
\(421\) −3.15120 + 15.8421i −0.153580 + 0.772098i 0.824823 + 0.565391i \(0.191275\pi\)
−0.978403 + 0.206707i \(0.933725\pi\)
\(422\) 20.6852 + 17.9292i 1.00694 + 0.872778i
\(423\) 0.202364 + 0.0838221i 0.00983930 + 0.00407557i
\(424\) −12.4106 + 19.2926i −0.602711 + 0.936933i
\(425\) 26.4907 10.9728i 1.28499 0.532258i
\(426\) 4.54527 13.6497i 0.220219 0.661329i
\(427\) 10.3891 6.94179i 0.502765 0.335937i
\(428\) −8.63251 24.4928i −0.417268 1.18390i
\(429\) 0.473714 + 2.38152i 0.0228711 + 0.114981i
\(430\) −4.53164 + 7.95530i −0.218535 + 0.383639i
\(431\) −22.1443 + 22.1443i −1.06665 + 1.06665i −0.0690385 + 0.997614i \(0.521993\pi\)
−0.997614 + 0.0690385i \(0.978007\pi\)
\(432\) 2.56686 3.06777i 0.123498 0.147598i
\(433\) −10.4560 10.4560i −0.502484 0.502484i 0.409725 0.912209i \(-0.365625\pi\)
−0.912209 + 0.409725i \(0.865625\pi\)
\(434\) −9.47124 + 2.59682i −0.454634 + 0.124651i
\(435\) 4.13227 0.821959i 0.198127 0.0394099i
\(436\) −13.5596 0.730785i −0.649388 0.0349983i
\(437\) 3.30404 + 4.94485i 0.158054 + 0.236544i
\(438\) −2.25161 4.49978i −0.107586 0.215008i
\(439\) −7.07243 17.0744i −0.337549 0.814915i −0.997950 0.0640017i \(-0.979614\pi\)
0.660401 0.750913i \(-0.270386\pi\)
\(440\) −2.80191 + 2.90122i −0.133576 + 0.138310i
\(441\) −2.17120 + 5.24174i −0.103390 + 0.249607i
\(442\) 0.738948 + 10.3531i 0.0351482 + 0.492447i
\(443\) −3.44920 0.686089i −0.163877 0.0325971i 0.112470 0.993655i \(-0.464124\pi\)
−0.276347 + 0.961058i \(0.589124\pi\)
\(444\) −1.06499 1.79613i −0.0505420 0.0852407i
\(445\) 6.38595 + 4.26695i 0.302723 + 0.202273i
\(446\) −14.9806 19.2902i −0.709351 0.913418i
\(447\) 22.7182 1.07453
\(448\) 3.82007 + 8.38424i 0.180482 + 0.396118i
\(449\) −5.30318 −0.250273 −0.125136 0.992140i \(-0.539937\pi\)
−0.125136 + 0.992140i \(0.539937\pi\)
\(450\) −3.93393 5.06565i −0.185447 0.238797i
\(451\) −11.7988 7.88370i −0.555583 0.371229i
\(452\) 0.837057 0.496318i 0.0393718 0.0233448i
\(453\) −18.0768 3.59571i −0.849324 0.168941i
\(454\) −1.06368 14.9028i −0.0499211 0.699425i
\(455\) −0.348798 + 0.842074i −0.0163519 + 0.0394770i
\(456\) 10.6052 0.184671i 0.496633 0.00864801i
\(457\) 7.47433 + 18.0446i 0.349635 + 0.844092i 0.996663 + 0.0816266i \(0.0260115\pi\)
−0.647028 + 0.762466i \(0.723989\pi\)
\(458\) 8.20580 + 16.3991i 0.383432 + 0.766279i
\(459\) −3.51251 5.25684i −0.163950 0.245368i
\(460\) −0.116367 + 2.15917i −0.00542564 + 0.100672i
\(461\) 20.1285 4.00381i 0.937478 0.186476i 0.297371 0.954762i \(-0.403890\pi\)
0.640107 + 0.768286i \(0.278890\pi\)
\(462\) 3.28556 0.900833i 0.152858 0.0419105i
\(463\) 28.0958 + 28.0958i 1.30572 + 1.30572i 0.924472 + 0.381250i \(0.124506\pi\)
0.381250 + 0.924472i \(0.375494\pi\)
\(464\) 21.9112 11.4453i 1.01720 0.531332i
\(465\) −2.90671 + 2.90671i −0.134795 + 0.134795i
\(466\) 19.1100 33.5477i 0.885254 1.55407i
\(467\) −1.15407 5.80190i −0.0534040 0.268480i 0.944853 0.327494i \(-0.106204\pi\)
−0.998257 + 0.0590143i \(0.981204\pi\)
\(468\) 2.18970 0.771763i 0.101219 0.0356748i
\(469\) 2.04770 1.36823i 0.0945538 0.0631789i
\(470\) −0.0667200 + 0.200364i −0.00307756 + 0.00924209i
\(471\) −19.9398 + 8.25936i −0.918780 + 0.380571i
\(472\) −3.48674 16.0622i −0.160490 0.739322i
\(473\) 18.3510 + 7.60125i 0.843782 + 0.349506i
\(474\) −9.69724 8.40518i −0.445409 0.386063i
\(475\) 3.31798 16.6806i 0.152239 0.765359i
\(476\) 14.4151 2.06828i 0.660715 0.0947994i
\(477\) 4.50589 6.74354i 0.206311 0.308766i
\(478\) −1.21974 + 9.69952i −0.0557896 + 0.443646i
\(479\) 3.77171i 0.172334i −0.996281 0.0861670i \(-0.972538\pi\)
0.996281 0.0861670i \(-0.0274619\pi\)
\(480\) 3.12641 + 2.25793i 0.142700 + 0.103060i
\(481\) 1.21202i 0.0552632i
\(482\) 26.8337 + 3.37441i 1.22224 + 0.153700i
\(483\) 1.01471 1.51862i 0.0461708 0.0690995i
\(484\) −10.6045 7.94328i −0.482024 0.361058i
\(485\) −1.72838 + 8.68914i −0.0784815 + 0.394553i
\(486\) −0.926269 + 1.06866i −0.0420164 + 0.0484752i
\(487\) 6.52856 + 2.70422i 0.295837 + 0.122540i 0.525665 0.850691i \(-0.323816\pi\)
−0.229828 + 0.973231i \(0.573816\pi\)
\(488\) 5.46167 30.1962i 0.247238 1.36692i
\(489\) 2.28989 0.948505i 0.103553 0.0428929i
\(490\) −5.18991 1.72821i −0.234456 0.0780726i
\(491\) 3.44645 2.30285i 0.155536 0.103926i −0.475367 0.879788i \(-0.657685\pi\)
0.630903 + 0.775862i \(0.282685\pi\)
\(492\) −5.85940 + 12.2378i −0.264162 + 0.551722i
\(493\) −7.62270 38.3219i −0.343309 1.72593i
\(494\) 5.34947 + 3.04726i 0.240684 + 0.137103i
\(495\) 1.00833 1.00833i 0.0453212 0.0453212i
\(496\) −11.5713 + 21.1619i −0.519567 + 0.950195i
\(497\) −8.28441 8.28441i −0.371607 0.371607i
\(498\) 2.94423 + 10.7383i 0.131934 + 0.481196i
\(499\) 23.8975 4.75351i 1.06980 0.212796i 0.371377 0.928482i \(-0.378886\pi\)
0.698422 + 0.715686i \(0.253886\pi\)
\(500\) 9.67460 8.68511i 0.432661 0.388410i
\(501\) 14.0910 + 21.0887i 0.629540 + 0.942174i
\(502\) −9.71377 + 4.86059i −0.433547 + 0.216939i
\(503\) −14.9766 36.1567i −0.667773 1.61215i −0.785328 0.619080i \(-0.787506\pi\)
0.117555 0.993066i \(-0.462494\pi\)
\(504\) −1.29879 2.98734i −0.0578525 0.133067i
\(505\) −2.32339 + 5.60916i −0.103390 + 0.249604i
\(506\) 4.67928 0.333981i 0.208019 0.0148473i
\(507\) −11.4285 2.27327i −0.507558 0.100959i
\(508\) −9.25635 + 36.2218i −0.410684 + 1.60708i
\(509\) 22.0659 + 14.7440i 0.978053 + 0.653514i 0.938346 0.345697i \(-0.112357\pi\)
0.0397072 + 0.999211i \(0.487357\pi\)
\(510\) 4.81431 3.73874i 0.213181 0.165554i
\(511\) −4.09763 −0.181268
\(512\) 21.3286 + 7.55586i 0.942600 + 0.333925i
\(513\) −3.75006 −0.165569
\(514\) 4.15464 3.22645i 0.183253 0.142312i
\(515\) −1.09909 0.734389i −0.0484317 0.0323611i
\(516\) 4.70228 18.4009i 0.207006 0.810055i
\(517\) 0.449358 + 0.0893828i 0.0197627 + 0.00393105i
\(518\) −1.69619 + 0.121065i −0.0745262 + 0.00531927i
\(519\) −2.11723 + 5.11144i −0.0929359 + 0.224367i
\(520\) 0.892490 + 2.05282i 0.0391383 + 0.0900221i
\(521\) 2.48332 + 5.99527i 0.108796 + 0.262658i 0.968896 0.247469i \(-0.0795987\pi\)
−0.860100 + 0.510126i \(0.829599\pi\)
\(522\) −7.81607 + 3.91102i −0.342100 + 0.171181i
\(523\) 21.0387 + 31.4867i 0.919960 + 1.37682i 0.926279 + 0.376837i \(0.122988\pi\)
−0.00631956 + 0.999980i \(0.502012\pi\)
\(524\) −10.3917 + 9.32891i −0.453965 + 0.407535i
\(525\) −5.12280 + 1.01899i −0.223577 + 0.0444723i
\(526\) −11.1060 40.5064i −0.484246 1.76616i
\(527\) 26.9563 + 26.9563i 1.17423 + 1.17423i
\(528\) 4.01407 7.34102i 0.174690 0.319477i
\(529\) −14.4851 + 14.4851i −0.629787 + 0.629787i
\(530\) 6.79442 + 3.87036i 0.295131 + 0.168118i
\(531\) 1.13369 + 5.69944i 0.0491980 + 0.247335i
\(532\) 3.73022 7.79083i 0.161726 0.337775i
\(533\) −6.54816 + 4.37534i −0.283632 + 0.189517i
\(534\) −15.1161 5.03357i −0.654138 0.217824i
\(535\) −8.17841 + 3.38761i −0.353583 + 0.146459i
\(536\) 1.07650 5.95168i 0.0464975 0.257073i
\(537\) −21.7159 8.99502i −0.937111 0.388164i
\(538\) −16.8644 + 19.4568i −0.727076 + 0.838843i
\(539\) −2.31523 + 11.6395i −0.0997242 + 0.501347i
\(540\) −1.09129 0.817424i −0.0469614 0.0351763i
\(541\) 14.8610 22.2411i 0.638925 0.956219i −0.360797 0.932644i \(-0.617495\pi\)
0.999722 0.0235744i \(-0.00750466\pi\)
\(542\) 37.1014 + 4.66559i 1.59364 + 0.200404i
\(543\) 7.08564i 0.304074i
\(544\) 20.9397 28.9937i 0.897780 1.24310i
\(545\) 4.62878i 0.198275i
\(546\) 0.235906 1.87596i 0.0100959 0.0802836i
\(547\) 6.16715 9.22980i 0.263688 0.394638i −0.675873 0.737018i \(-0.736233\pi\)
0.939561 + 0.342381i \(0.111233\pi\)
\(548\) 24.9983 3.58676i 1.06788 0.153219i
\(549\) −2.11658 + 10.6407i −0.0903333 + 0.454136i
\(550\) −10.1376 8.78690i −0.432270 0.374675i
\(551\) −21.4116 8.86897i −0.912164 0.377831i
\(552\) −0.951545 4.38343i −0.0405004 0.186571i
\(553\) −9.65517 + 3.99930i −0.410579 + 0.170068i
\(554\) −8.40837 + 25.2508i −0.357237 + 1.07280i
\(555\) −0.591825 + 0.395445i −0.0251216 + 0.0167857i
\(556\) 27.9555 9.85294i 1.18558 0.417858i
\(557\) 4.91160 + 24.6923i 0.208111 + 1.04625i 0.933683 + 0.358099i \(0.116575\pi\)
−0.725572 + 0.688146i \(0.758425\pi\)
\(558\) 4.22072 7.40948i 0.178677 0.313668i
\(559\) 7.79492 7.79492i 0.329690 0.329690i
\(560\) 2.78372 1.45407i 0.117634 0.0614456i
\(561\) −9.35109 9.35109i −0.394803 0.394803i
\(562\) 4.39779 1.20578i 0.185509 0.0508629i
\(563\) −12.3496 + 2.45650i −0.520475 + 0.103529i −0.448335 0.893866i \(-0.647983\pi\)
−0.0721401 + 0.997395i \(0.522983\pi\)
\(564\) 0.0235755 0.437441i 0.000992709 0.0184196i
\(565\) −0.184290 0.275810i −0.00775315 0.0116034i
\(566\) −12.6189 25.2185i −0.530412 1.06001i
\(567\) 0.440731 + 1.06402i 0.0185090 + 0.0446846i
\(568\) −28.7688 + 0.500959i −1.20711 + 0.0210198i
\(569\) 9.08881 21.9423i 0.381023 0.919870i −0.610746 0.791827i \(-0.709130\pi\)
0.991769 0.128044i \(-0.0408697\pi\)
\(570\) −0.257403 3.60637i −0.0107814 0.151054i
\(571\) −30.7371 6.11399i −1.28631 0.255863i −0.495866 0.868399i \(-0.665149\pi\)
−0.790442 + 0.612536i \(0.790149\pi\)
\(572\) 4.17725 2.47683i 0.174660 0.103561i
\(573\) −4.21408 2.81576i −0.176046 0.117630i
\(574\) 6.77725 + 8.72695i 0.282877 + 0.364256i
\(575\) −7.19229 −0.299939
\(576\) −7.49314 2.80228i −0.312214 0.116762i
\(577\) −17.6921 −0.736533 −0.368267 0.929720i \(-0.620049\pi\)
−0.368267 + 0.929720i \(0.620049\pi\)
\(578\) −19.9263 25.6588i −0.828825 1.06726i
\(579\) 10.3919 + 6.94364i 0.431873 + 0.288568i
\(580\) −4.29764 7.24812i −0.178450 0.300962i
\(581\) 8.89343 + 1.76901i 0.368961 + 0.0733910i
\(582\) −1.30839 18.3314i −0.0542346 0.759859i
\(583\) 6.49203 15.6732i 0.268873 0.649116i
\(584\) −6.99090 + 7.23868i −0.289285 + 0.299539i
\(585\) −0.302859 0.731166i −0.0125217 0.0302300i
\(586\) −2.81239 5.62049i −0.116179 0.232180i
\(587\) 8.06620 + 12.0719i 0.332928 + 0.498262i 0.959733 0.280915i \(-0.0906378\pi\)
−0.626805 + 0.779176i \(0.715638\pi\)
\(588\) 11.3308 + 0.610664i 0.467274 + 0.0251834i
\(589\) 22.1773 4.41135i 0.913801 0.181766i
\(590\) −5.40323 + 1.48146i −0.222448 + 0.0609906i
\(591\) −17.2533 17.2533i −0.709705 0.709705i
\(592\) −2.67997 + 3.20295i −0.110146 + 0.131641i
\(593\) −12.6582 + 12.6582i −0.519810 + 0.519810i −0.917514 0.397704i \(-0.869807\pi\)
0.397704 + 0.917514i \(0.369807\pi\)
\(594\) −1.46416 + 2.57034i −0.0600753 + 0.105462i
\(595\) −0.968429 4.86862i −0.0397017 0.199594i
\(596\) −15.1035 42.8526i −0.618661 1.75531i
\(597\) −15.6307 + 10.4441i −0.639720 + 0.427447i
\(598\) 0.822557 2.47018i 0.0336369 0.101013i
\(599\) −1.63778 + 0.678392i −0.0669180 + 0.0277183i −0.415891 0.909414i \(-0.636530\pi\)
0.348973 + 0.937133i \(0.386530\pi\)
\(600\) −6.93984 + 10.7882i −0.283318 + 0.440426i
\(601\) 32.5188 + 13.4697i 1.32647 + 0.549441i 0.929646 0.368454i \(-0.120113\pi\)
0.396822 + 0.917895i \(0.370113\pi\)
\(602\) −11.6874 10.1302i −0.476343 0.412876i
\(603\) −0.417177 + 2.09729i −0.0169888 + 0.0854083i
\(604\) 5.23534 + 36.4883i 0.213023 + 1.48469i
\(605\) −2.50917 + 3.75525i −0.102012 + 0.152672i
\(606\) 1.57140 12.4960i 0.0638339 0.507615i
\(607\) 4.72069i 0.191607i −0.995400 0.0958035i \(-0.969458\pi\)
0.995400 0.0958035i \(-0.0305420\pi\)
\(608\) −7.39885 19.8815i −0.300063 0.806299i
\(609\) 7.11753i 0.288417i
\(610\) −10.3783 1.30510i −0.420205 0.0528418i
\(611\) 0.141266 0.211420i 0.00571502 0.00855314i
\(612\) −7.58064 + 10.1204i −0.306429 + 0.409092i
\(613\) 3.01668 15.1659i 0.121842 0.612543i −0.870818 0.491606i \(-0.836410\pi\)
0.992660 0.120937i \(-0.0385900\pi\)
\(614\) 22.3147 25.7450i 0.900549 1.03898i
\(615\) 4.27294 + 1.76991i 0.172302 + 0.0713697i
\(616\) −3.88351 5.59856i −0.156471 0.225572i
\(617\) 28.8876 11.9656i 1.16297 0.481718i 0.284107 0.958793i \(-0.408303\pi\)
0.878862 + 0.477075i \(0.158303\pi\)
\(618\) 2.60165 + 0.866333i 0.104654 + 0.0348490i
\(619\) −10.6078 + 7.08793i −0.426365 + 0.284888i −0.750182 0.661232i \(-0.770034\pi\)
0.323816 + 0.946120i \(0.395034\pi\)
\(620\) 7.41527 + 3.55040i 0.297804 + 0.142588i
\(621\) 0.309388 + 1.55540i 0.0124153 + 0.0624160i
\(622\) 19.1956 + 10.9346i 0.769675 + 0.438436i
\(623\) −9.17442 + 9.17442i −0.367565 + 0.367565i
\(624\) −2.91151 3.61729i −0.116554 0.144807i
\(625\) 12.9008 + 12.9008i 0.516031 + 0.516031i
\(626\) −6.43578 23.4729i −0.257226 0.938165i
\(627\) −7.69328 + 1.53029i −0.307240 + 0.0611139i
\(628\) 28.8358 + 32.1210i 1.15067 + 1.28177i
\(629\) 3.66729 + 5.48848i 0.146224 + 0.218840i
\(630\) −0.992996 + 0.496877i −0.0395619 + 0.0197961i
\(631\) 2.52703 + 6.10078i 0.100599 + 0.242868i 0.966164 0.257929i \(-0.0830401\pi\)
−0.865564 + 0.500798i \(0.833040\pi\)
\(632\) −9.40755 + 23.8795i −0.374212 + 0.949877i
\(633\) −7.40734 + 17.8829i −0.294415 + 0.710782i
\(634\) 3.83099 0.273435i 0.152148 0.0108595i
\(635\) 12.4989 + 2.48618i 0.496002 + 0.0986610i
\(636\) −15.7158 4.01610i −0.623170 0.159249i
\(637\) 5.47630 + 3.65915i 0.216979 + 0.144981i
\(638\) −14.4388 + 11.2130i −0.571636 + 0.443926i
\(639\) 10.1728 0.402431
\(640\) 2.18058 7.39836i 0.0861949 0.292446i
\(641\) 5.36117 0.211753 0.105877 0.994379i \(-0.466235\pi\)
0.105877 + 0.994379i \(0.466235\pi\)
\(642\) 14.5034 11.2632i 0.572403 0.444522i
\(643\) 14.9450 + 9.98590i 0.589371 + 0.393805i 0.814193 0.580595i \(-0.197180\pi\)
−0.224821 + 0.974400i \(0.572180\pi\)
\(644\) −3.53912 0.904409i −0.139461 0.0356387i
\(645\) −6.34950 1.26299i −0.250011 0.0497303i
\(646\) −33.4448 + 2.38711i −1.31587 + 0.0939194i
\(647\) −0.650809 + 1.57119i −0.0255859 + 0.0617699i −0.936156 0.351585i \(-0.885643\pi\)
0.910570 + 0.413354i \(0.135643\pi\)
\(648\) 2.63158 + 1.03673i 0.103378 + 0.0407267i
\(649\) 4.65155 + 11.2298i 0.182589 + 0.440809i
\(650\) −6.65846 + 3.33177i −0.261166 + 0.130683i
\(651\) −3.85807 5.77401i −0.151210 0.226301i
\(652\) −3.31150 3.68878i −0.129688 0.144464i
\(653\) 8.55252 1.70120i 0.334686 0.0665732i −0.0248867 0.999690i \(-0.507922\pi\)
0.359573 + 0.933117i \(0.382922\pi\)
\(654\) −2.53897 9.26025i −0.0992816 0.362105i
\(655\) 3.36597 + 3.36597i 0.131519 + 0.131519i
\(656\) 26.9792 + 2.91652i 1.05336 + 0.113871i
\(657\) 2.51584 2.51584i 0.0981522 0.0981522i
\(658\) −0.309988 0.176581i −0.0120846 0.00688383i
\(659\) 2.29945 + 11.5601i 0.0895740 + 0.450319i 0.999377 + 0.0352795i \(0.0112322\pi\)
−0.909804 + 0.415039i \(0.863768\pi\)
\(660\) −2.57235 1.23163i −0.100128 0.0479411i
\(661\) −15.6360 + 10.4476i −0.608170 + 0.406366i −0.821168 0.570686i \(-0.806677\pi\)
0.212998 + 0.977053i \(0.431677\pi\)
\(662\) −7.01496 2.33594i −0.272644 0.0907890i
\(663\) −6.78070 + 2.80866i −0.263340 + 0.109079i
\(664\) 18.2980 12.6926i 0.710100 0.492570i
\(665\) −2.72024 1.12676i −0.105487 0.0436940i
\(666\) 0.967085 1.11575i 0.0374738 0.0432343i
\(667\) −1.91205 + 9.61251i −0.0740348 + 0.372198i
\(668\) 30.4110 40.5996i 1.17664 1.57085i
\(669\) 9.59489 14.3598i 0.370960 0.555181i
\(670\) −2.04556 0.257234i −0.0790269 0.00993783i
\(671\) 22.6933i 0.876065i
\(672\) −4.77148 + 4.43590i −0.184064 + 0.171119i
\(673\) 3.77219i 0.145407i −0.997354 0.0727036i \(-0.976837\pi\)
0.997354 0.0727036i \(-0.0231627\pi\)
\(674\) 0.866089 6.88725i 0.0333605 0.265287i
\(675\) 2.51964 3.77090i 0.0969809 0.145142i
\(676\) 3.30988 + 23.0686i 0.127303 + 0.887252i
\(677\) 0.0293360 0.147482i 0.00112747 0.00566819i −0.980217 0.197924i \(-0.936580\pi\)
0.981345 + 0.192255i \(0.0615802\pi\)
\(678\) 0.519974 + 0.450693i 0.0199695 + 0.0173088i
\(679\) −13.8272 5.72739i −0.530637 0.219797i
\(680\) −10.2529 6.59550i −0.393181 0.252926i
\(681\) 9.76051 4.04294i 0.374024 0.154926i
\(682\) 5.63525 16.9230i 0.215785 0.648014i
\(683\) −24.9296 + 16.6574i −0.953904 + 0.637378i −0.932030 0.362382i \(-0.881963\pi\)
−0.0218747 + 0.999761i \(0.506963\pi\)
\(684\) 2.49311 + 7.07363i 0.0953265 + 0.270467i
\(685\) −1.67943 8.44305i −0.0641676 0.322592i
\(686\) 10.2170 17.9360i 0.390088 0.684800i
\(687\) −9.16877 + 9.16877i −0.349810 + 0.349810i
\(688\) −37.8353 + 3.36349i −1.44246 + 0.128232i
\(689\) −6.65745 6.65745i −0.253629 0.253629i
\(690\) −1.47456 + 0.404295i −0.0561356 + 0.0153912i
\(691\) 3.35115 0.666585i 0.127484 0.0253581i −0.130936 0.991391i \(-0.541798\pi\)
0.258420 + 0.966033i \(0.416798\pi\)
\(692\) 11.0491 + 0.595484i 0.420025 + 0.0226369i
\(693\) 1.33836 + 2.00300i 0.0508400 + 0.0760875i
\(694\) −2.67876 5.35344i −0.101684 0.203214i
\(695\) −3.86653 9.33464i −0.146666 0.354083i
\(696\) 12.5735 + 12.1431i 0.476597 + 0.460283i
\(697\) 16.4138 39.6265i 0.621718 1.50096i
\(698\) 2.84081 + 39.8015i 0.107526 + 1.50651i
\(699\) 26.7760 + 5.32607i 1.01276 + 0.201450i
\(700\) 5.32782 + 8.98555i 0.201373 + 0.339622i
\(701\) −25.2307 16.8586i −0.952949 0.636740i −0.0211737 0.999776i \(-0.506740\pi\)
−0.931775 + 0.363036i \(0.881740\pi\)
\(702\) 1.00695 + 1.29663i 0.0380049 + 0.0489382i
\(703\) 3.91531 0.147669
\(704\) −16.5158 2.69118i −0.622462 0.101428i
\(705\) −0.149327 −0.00562398
\(706\) 2.73969 + 3.52785i 0.103110 + 0.132772i
\(707\) −8.52793 5.69818i −0.320726 0.214302i
\(708\) 9.99700 5.92754i 0.375710 0.222771i
\(709\) 39.8461 + 7.92589i 1.49645 + 0.297663i 0.874359 0.485280i \(-0.161282\pi\)
0.622094 + 0.782943i \(0.286282\pi\)
\(710\) 0.698259 + 9.78303i 0.0262052 + 0.367151i
\(711\) 3.47256 8.38350i 0.130231 0.314406i
\(712\) 0.554778 + 31.8595i 0.0207912 + 1.19398i
\(713\) −3.65935 8.83446i −0.137044 0.330853i
\(714\) 4.60795 + 9.20887i 0.172448 + 0.344633i
\(715\) −0.919684 1.37640i −0.0343942 0.0514746i
\(716\) −2.52991 + 46.9421i −0.0945472 + 1.75431i
\(717\) −6.77979 + 1.34858i −0.253196 + 0.0503638i
\(718\) 1.53083 0.419723i 0.0571302 0.0156639i
\(719\) −22.4551 22.4551i −0.837433 0.837433i 0.151087 0.988520i \(-0.451723\pi\)
−0.988520 + 0.151087i \(0.951723\pi\)
\(720\) −0.816376 + 2.60190i −0.0304245 + 0.0969670i
\(721\) 1.57902 1.57902i 0.0588057 0.0588057i
\(722\) 3.45585 6.06676i 0.128614 0.225781i
\(723\) 3.73086 + 18.7563i 0.138752 + 0.697554i
\(724\) 13.3654 4.71067i 0.496723 0.175071i
\(725\) 23.3045 15.5716i 0.865509 0.578314i
\(726\) 2.95999 8.88900i 0.109855 0.329902i
\(727\) 3.26753 1.35346i 0.121186 0.0501969i −0.321266 0.946989i \(-0.604109\pi\)
0.442453 + 0.896792i \(0.354109\pi\)
\(728\) −3.69540 + 0.802188i −0.136961 + 0.0297311i
\(729\) −0.923880 0.382683i −0.0342178 0.0141735i
\(730\) 2.59212 + 2.24675i 0.0959387 + 0.0831559i
\(731\) −11.7128 + 58.8841i −0.433213 + 2.17791i
\(732\) 21.4785 3.08173i 0.793867 0.113904i
\(733\) 22.0856 33.0535i 0.815752 1.22086i −0.156675 0.987650i \(-0.550078\pi\)
0.972427 0.233208i \(-0.0749224\pi\)
\(734\) 3.14848 25.0371i 0.116212 0.924136i
\(735\) 3.86794i 0.142671i
\(736\) −7.63573 + 4.70906i −0.281457 + 0.173578i
\(737\) 4.47285i 0.164759i
\(738\) −9.51919 1.19706i −0.350406 0.0440645i
\(739\) −19.2682 + 28.8369i −0.708792 + 1.06078i 0.285937 + 0.958248i \(0.407695\pi\)
−0.994730 + 0.102534i \(0.967305\pi\)
\(740\) 1.13937 + 0.853444i 0.0418842 + 0.0313732i
\(741\) −0.849288 + 4.26966i −0.0311994 + 0.156850i
\(742\) −8.65194 + 9.98192i −0.317623 + 0.366448i
\(743\) −32.8287 13.5981i −1.20437 0.498865i −0.311959 0.950095i \(-0.600985\pi\)
−0.892408 + 0.451230i \(0.850985\pi\)
\(744\) −16.7823 3.03546i −0.615269 0.111285i
\(745\) −14.3090 + 5.92696i −0.524240 + 0.217147i
\(746\) 6.33446 + 2.10934i 0.231921 + 0.0772284i
\(747\) −6.54647 + 4.37421i −0.239523 + 0.160044i
\(748\) −11.4219 + 23.8555i −0.417626 + 0.872242i
\(749\) −2.91745 14.6670i −0.106601 0.535922i
\(750\) 7.98807 + 4.55030i 0.291683 + 0.166154i
\(751\) 18.7680 18.7680i 0.684856 0.684856i −0.276235 0.961090i \(-0.589087\pi\)
0.961090 + 0.276235i \(0.0890867\pi\)
\(752\) −0.840805 + 0.246349i −0.0306610 + 0.00898342i
\(753\) −5.43099 5.43099i −0.197916 0.197916i
\(754\) 2.68279 + 9.78478i 0.0977013 + 0.356341i
\(755\) 12.3237 2.45134i 0.448506 0.0892134i
\(756\) 1.71402 1.53872i 0.0623384 0.0559627i
\(757\) −15.4468 23.1177i −0.561422 0.840228i 0.436817 0.899551i \(-0.356106\pi\)
−0.998239 + 0.0593228i \(0.981106\pi\)
\(758\) −7.03026 + 3.51781i −0.255350 + 0.127773i
\(759\) 1.26942 + 3.06466i 0.0460772 + 0.111240i
\(760\) −6.63145 + 2.88311i −0.240548 + 0.104581i
\(761\) −9.50616 + 22.9499i −0.344598 + 0.831933i 0.652640 + 0.757668i \(0.273661\pi\)
−0.997239 + 0.0742655i \(0.976339\pi\)
\(762\) −26.3687 + 1.88205i −0.955237 + 0.0681796i
\(763\) −7.66930 1.52552i −0.277647 0.0552275i
\(764\) −2.50968 + 9.82085i −0.0907971 + 0.355306i
\(765\) 3.58380 + 2.39462i 0.129573 + 0.0865777i
\(766\) −1.13579 + 0.882040i −0.0410377 + 0.0318694i
\(767\) 6.74589 0.243580
\(768\) −0.304287 + 15.9971i −0.0109800 + 0.577246i
\(769\) −31.3503 −1.13052 −0.565260 0.824913i \(-0.691224\pi\)
−0.565260 + 0.824913i \(0.691224\pi\)
\(770\) −1.83438 + 1.42456i −0.0661064 + 0.0513376i
\(771\) 3.09274 + 2.06650i 0.111382 + 0.0744233i
\(772\) 6.18887 24.2182i 0.222742 0.871632i
\(773\) 5.74188 + 1.14213i 0.206521 + 0.0410796i 0.297267 0.954795i \(-0.403925\pi\)
−0.0907456