Properties

Label 105.2.x.a.23.1
Level 105
Weight 2
Character 105.23
Analytic conductor 0.838
Analytic rank 0
Dimension 48
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 23.1
Character \(\chi\) = 105.23
Dual form 105.2.x.a.32.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.35640 + 0.631395i) q^{2} +(1.72899 + 0.102851i) q^{3} +(3.42191 - 1.97564i) q^{4} +(0.0540016 - 2.23542i) q^{5} +(-4.13914 + 0.849321i) q^{6} +(-1.91891 - 1.82148i) q^{7} +(-3.36596 + 3.36596i) q^{8} +(2.97884 + 0.355658i) q^{9} +O(q^{10})\) \(q+(-2.35640 + 0.631395i) q^{2} +(1.72899 + 0.102851i) q^{3} +(3.42191 - 1.97564i) q^{4} +(0.0540016 - 2.23542i) q^{5} +(-4.13914 + 0.849321i) q^{6} +(-1.91891 - 1.82148i) q^{7} +(-3.36596 + 3.36596i) q^{8} +(2.97884 + 0.355658i) q^{9} +(1.28418 + 5.30163i) q^{10} +(3.08053 - 1.77855i) q^{11} +(6.11965 - 3.06392i) q^{12} +(1.28412 + 1.28412i) q^{13} +(5.67179 + 3.08053i) q^{14} +(0.323283 - 3.85947i) q^{15} +(1.85502 - 3.21299i) q^{16} +(-0.792145 + 2.95633i) q^{17} +(-7.24390 + 1.04276i) q^{18} +(0.331717 + 0.191517i) q^{19} +(-4.23159 - 7.75607i) q^{20} +(-3.13045 - 3.34668i) q^{21} +(-6.13600 + 6.13600i) q^{22} +(0.658656 + 2.45814i) q^{23} +(-6.16592 + 5.47354i) q^{24} +(-4.99417 - 0.241432i) q^{25} +(-3.83669 - 2.21512i) q^{26} +(5.11382 + 0.921307i) q^{27} +(-10.1649 - 2.44184i) q^{28} -5.51741 q^{29} +(1.67507 + 9.29857i) q^{30} +(0.323980 + 0.561149i) q^{31} +(0.121554 - 0.453646i) q^{32} +(5.50915 - 2.75826i) q^{33} -7.46644i q^{34} +(-4.17538 + 4.19120i) q^{35} +(10.8960 - 4.66809i) q^{36} +(-1.34101 - 5.00473i) q^{37} +(-0.902580 - 0.241846i) q^{38} +(2.08817 + 2.35231i) q^{39} +(7.34256 + 7.70609i) q^{40} +10.1075i q^{41} +(9.48967 + 5.90957i) q^{42} +(-0.335236 - 0.335236i) q^{43} +(7.02753 - 12.1720i) q^{44} +(0.955905 - 6.63975i) q^{45} +(-3.10411 - 5.37648i) q^{46} +(-2.80533 + 0.751687i) q^{47} +(3.53778 - 5.36445i) q^{48} +(0.364449 + 6.99051i) q^{49} +(11.9207 - 2.58438i) q^{50} +(-1.67368 + 5.03000i) q^{51} +(6.93111 + 1.85718i) q^{52} +(3.04243 + 0.815217i) q^{53} +(-12.6319 + 1.05788i) q^{54} +(-3.80944 - 6.98232i) q^{55} +(12.5900 - 0.327966i) q^{56} +(0.553839 + 0.365249i) q^{57} +(13.0012 - 3.48367i) q^{58} +(-3.81595 - 6.60942i) q^{59} +(-6.51867 - 13.8454i) q^{60} +(-5.45977 + 9.45659i) q^{61} +(-1.11773 - 1.11773i) q^{62} +(-5.06832 - 6.10837i) q^{63} +8.56580i q^{64} +(2.93989 - 2.80120i) q^{65} +(-11.2402 + 9.97802i) q^{66} +(12.3899 + 3.31987i) q^{67} +(3.12999 + 11.6813i) q^{68} +(0.885991 + 4.31785i) q^{69} +(7.19256 - 12.5125i) q^{70} -3.06673i q^{71} +(-11.2238 + 8.82954i) q^{72} +(-0.849702 + 3.17113i) q^{73} +(6.31993 + 10.9464i) q^{74} +(-8.61006 - 0.931090i) q^{75} +1.51347 q^{76} +(-9.15085 - 2.19824i) q^{77} +(-6.40579 - 4.22453i) q^{78} +(-3.21262 - 1.85480i) q^{79} +(-7.08219 - 4.32025i) q^{80} +(8.74702 + 2.11890i) q^{81} +(-6.38180 - 23.8172i) q^{82} +(0.973978 - 0.973978i) q^{83} +(-17.3239 - 5.26741i) q^{84} +(6.56584 + 1.93042i) q^{85} +(1.00162 + 0.578284i) q^{86} +(-9.53957 - 0.567471i) q^{87} +(-4.38244 + 16.3555i) q^{88} +(-1.51967 + 2.63215i) q^{89} +(1.93981 + 16.2494i) q^{90} +(-0.125120 - 4.80311i) q^{91} +(7.11025 + 7.11025i) q^{92} +(0.502444 + 1.00355i) q^{93} +(6.13587 - 3.54255i) q^{94} +(0.446033 - 0.731183i) q^{95} +(0.256825 - 0.771850i) q^{96} +(-10.3438 + 10.3438i) q^{97} +(-5.27256 - 16.2423i) q^{98} +(9.80898 - 4.20240i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} + O(q^{10}) \) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} - 8q^{10} - 10q^{12} - 16q^{13} + 4q^{15} - 8q^{16} + 14q^{18} - 28q^{21} - 8q^{22} + 4q^{25} + 40q^{27} - 60q^{28} + 40q^{30} - 24q^{31} - 4q^{33} + 8q^{36} + 4q^{37} - 16q^{40} + 14q^{42} + 16q^{43} + 40q^{45} - 32q^{46} + 44q^{48} + 8q^{51} + 36q^{52} - 40q^{55} - 88q^{57} + 56q^{58} - 50q^{60} - 8q^{61} + 44q^{63} + 76q^{66} + 12q^{67} + 140q^{70} - 34q^{72} + 52q^{73} + 6q^{75} + 64q^{76} - 120q^{78} + 20q^{81} + 104q^{82} - 24q^{85} - 46q^{87} - 84q^{90} + 72q^{91} - 44q^{93} + 12q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.35640 + 0.631395i −1.66623 + 0.446464i −0.964089 0.265578i \(-0.914437\pi\)
−0.702137 + 0.712042i \(0.747770\pi\)
\(3\) 1.72899 + 0.102851i 0.998235 + 0.0593810i
\(4\) 3.42191 1.97564i 1.71095 0.987819i
\(5\) 0.0540016 2.23542i 0.0241502 0.999708i
\(6\) −4.13914 + 0.849321i −1.68980 + 0.346734i
\(7\) −1.91891 1.82148i −0.725281 0.688453i
\(8\) −3.36596 + 3.36596i −1.19005 + 1.19005i
\(9\) 2.97884 + 0.355658i 0.992948 + 0.118553i
\(10\) 1.28418 + 5.30163i 0.406094 + 1.67652i
\(11\) 3.08053 1.77855i 0.928816 0.536252i 0.0423788 0.999102i \(-0.486506\pi\)
0.886437 + 0.462850i \(0.153173\pi\)
\(12\) 6.11965 3.06392i 1.76659 0.884478i
\(13\) 1.28412 + 1.28412i 0.356151 + 0.356151i 0.862392 0.506241i \(-0.168965\pi\)
−0.506241 + 0.862392i \(0.668965\pi\)
\(14\) 5.67179 + 3.08053i 1.51585 + 0.823307i
\(15\) 0.323283 3.85947i 0.0834714 0.996510i
\(16\) 1.85502 3.21299i 0.463755 0.803247i
\(17\) −0.792145 + 2.95633i −0.192123 + 0.717015i 0.800869 + 0.598839i \(0.204371\pi\)
−0.992993 + 0.118175i \(0.962296\pi\)
\(18\) −7.24390 + 1.04276i −1.70740 + 0.245780i
\(19\) 0.331717 + 0.191517i 0.0761011 + 0.0439370i 0.537568 0.843221i \(-0.319343\pi\)
−0.461467 + 0.887158i \(0.652677\pi\)
\(20\) −4.23159 7.75607i −0.946211 1.73431i
\(21\) −3.13045 3.34668i −0.683120 0.730306i
\(22\) −6.13600 + 6.13600i −1.30820 + 1.30820i
\(23\) 0.658656 + 2.45814i 0.137339 + 0.512557i 0.999977 + 0.00673550i \(0.00214399\pi\)
−0.862638 + 0.505822i \(0.831189\pi\)
\(24\) −6.16592 + 5.47354i −1.25861 + 1.11728i
\(25\) −4.99417 0.241432i −0.998834 0.0482864i
\(26\) −3.83669 2.21512i −0.752437 0.434420i
\(27\) 5.11382 + 0.921307i 0.984156 + 0.177306i
\(28\) −10.1649 2.44184i −1.92099 0.461465i
\(29\) −5.51741 −1.02456 −0.512279 0.858819i \(-0.671199\pi\)
−0.512279 + 0.858819i \(0.671199\pi\)
\(30\) 1.67507 + 9.29857i 0.305824 + 1.69768i
\(31\) 0.323980 + 0.561149i 0.0581885 + 0.100785i 0.893652 0.448760i \(-0.148134\pi\)
−0.835464 + 0.549546i \(0.814801\pi\)
\(32\) 0.121554 0.453646i 0.0214880 0.0801941i
\(33\) 5.50915 2.75826i 0.959020 0.480152i
\(34\) 7.46644i 1.28048i
\(35\) −4.17538 + 4.19120i −0.705768 + 0.708443i
\(36\) 10.8960 4.66809i 1.81600 0.778015i
\(37\) −1.34101 5.00473i −0.220461 0.822772i −0.984172 0.177214i \(-0.943291\pi\)
0.763711 0.645558i \(-0.223375\pi\)
\(38\) −0.902580 0.241846i −0.146418 0.0392325i
\(39\) 2.08817 + 2.35231i 0.334374 + 0.376671i
\(40\) 7.34256 + 7.70609i 1.16096 + 1.21844i
\(41\) 10.1075i 1.57852i 0.614060 + 0.789259i \(0.289535\pi\)
−0.614060 + 0.789259i \(0.710465\pi\)
\(42\) 9.48967 + 5.90957i 1.46429 + 0.911867i
\(43\) −0.335236 0.335236i −0.0511231 0.0511231i 0.681083 0.732206i \(-0.261509\pi\)
−0.732206 + 0.681083i \(0.761509\pi\)
\(44\) 7.02753 12.1720i 1.05944 1.83500i
\(45\) 0.955905 6.63975i 0.142498 0.989795i
\(46\) −3.10411 5.37648i −0.457677 0.792719i
\(47\) −2.80533 + 0.751687i −0.409200 + 0.109645i −0.457546 0.889186i \(-0.651272\pi\)
0.0483463 + 0.998831i \(0.484605\pi\)
\(48\) 3.53778 5.36445i 0.510634 0.774291i
\(49\) 0.364449 + 6.99051i 0.0520641 + 0.998644i
\(50\) 11.9207 2.58438i 1.68584 0.365487i
\(51\) −1.67368 + 5.03000i −0.234362 + 0.704341i
\(52\) 6.93111 + 1.85718i 0.961171 + 0.257545i
\(53\) 3.04243 + 0.815217i 0.417910 + 0.111979i 0.461645 0.887065i \(-0.347259\pi\)
−0.0437355 + 0.999043i \(0.513926\pi\)
\(54\) −12.6319 + 1.05788i −1.71899 + 0.143959i
\(55\) −3.80944 6.98232i −0.513664 0.941495i
\(56\) 12.5900 0.327966i 1.68241 0.0438263i
\(57\) 0.553839 + 0.365249i 0.0733578 + 0.0483784i
\(58\) 13.0012 3.48367i 1.70714 0.457428i
\(59\) −3.81595 6.60942i −0.496795 0.860474i 0.503198 0.864171i \(-0.332156\pi\)
−0.999993 + 0.00369723i \(0.998823\pi\)
\(60\) −6.51867 13.8454i −0.841556 1.78744i
\(61\) −5.45977 + 9.45659i −0.699051 + 1.21079i 0.269744 + 0.962932i \(0.413061\pi\)
−0.968796 + 0.247860i \(0.920273\pi\)
\(62\) −1.11773 1.11773i −0.141952 0.141952i
\(63\) −5.06832 6.10837i −0.638548 0.769582i
\(64\) 8.56580i 1.07072i
\(65\) 2.93989 2.80120i 0.364649 0.347446i
\(66\) −11.2402 + 9.97802i −1.38357 + 1.22821i
\(67\) 12.3899 + 3.31987i 1.51367 + 0.405586i 0.917652 0.397386i \(-0.130082\pi\)
0.596017 + 0.802972i \(0.296749\pi\)
\(68\) 3.12999 + 11.6813i 0.379567 + 1.41656i
\(69\) 0.885991 + 4.31785i 0.106661 + 0.519808i
\(70\) 7.19256 12.5125i 0.859675 1.49553i
\(71\) 3.06673i 0.363954i −0.983303 0.181977i \(-0.941750\pi\)
0.983303 0.181977i \(-0.0582497\pi\)
\(72\) −11.2238 + 8.82954i −1.32274 + 1.04057i
\(73\) −0.849702 + 3.17113i −0.0994501 + 0.371153i −0.997657 0.0684210i \(-0.978204\pi\)
0.898206 + 0.439574i \(0.144871\pi\)
\(74\) 6.31993 + 10.9464i 0.734676 + 1.27250i
\(75\) −8.61006 0.931090i −0.994204 0.107513i
\(76\) 1.51347 0.173607
\(77\) −9.15085 2.19824i −1.04284 0.250513i
\(78\) −6.40579 4.22453i −0.725313 0.478334i
\(79\) −3.21262 1.85480i −0.361448 0.208682i 0.308268 0.951300i \(-0.400251\pi\)
−0.669716 + 0.742618i \(0.733584\pi\)
\(80\) −7.08219 4.32025i −0.791813 0.483018i
\(81\) 8.74702 + 2.11890i 0.971891 + 0.235433i
\(82\) −6.38180 23.8172i −0.704752 2.63017i
\(83\) 0.973978 0.973978i 0.106908 0.106908i −0.651629 0.758537i \(-0.725914\pi\)
0.758537 + 0.651629i \(0.225914\pi\)
\(84\) −17.3239 5.26741i −1.89020 0.574721i
\(85\) 6.56584 + 1.93042i 0.712166 + 0.209384i
\(86\) 1.00162 + 0.578284i 0.108007 + 0.0623580i
\(87\) −9.53957 0.567471i −1.02275 0.0608393i
\(88\) −4.38244 + 16.3555i −0.467169 + 1.74350i
\(89\) −1.51967 + 2.63215i −0.161085 + 0.279007i −0.935258 0.353967i \(-0.884833\pi\)
0.774173 + 0.632974i \(0.218166\pi\)
\(90\) 1.93981 + 16.2494i 0.204474 + 1.71284i
\(91\) −0.125120 4.80311i −0.0131161 0.503503i
\(92\) 7.11025 + 7.11025i 0.741295 + 0.741295i
\(93\) 0.502444 + 1.00355i 0.0521011 + 0.104063i
\(94\) 6.13587 3.54255i 0.632867 0.365386i
\(95\) 0.446033 0.731183i 0.0457620 0.0750178i
\(96\) 0.256825 0.771850i 0.0262120 0.0787766i
\(97\) −10.3438 + 10.3438i −1.05025 + 1.05025i −0.0515850 + 0.998669i \(0.516427\pi\)
−0.998669 + 0.0515850i \(0.983573\pi\)
\(98\) −5.27256 16.2423i −0.532609 1.64072i
\(99\) 9.80898 4.20240i 0.985839 0.422357i
\(100\) −17.5666 + 9.04051i −1.75666 + 0.904051i
\(101\) 0.158115 0.0912877i 0.0157330 0.00908347i −0.492113 0.870531i \(-0.663775\pi\)
0.507846 + 0.861448i \(0.330442\pi\)
\(102\) 0.767931 12.9094i 0.0760365 1.27822i
\(103\) 4.69347 1.25761i 0.462461 0.123916i −0.0200632 0.999799i \(-0.506387\pi\)
0.482524 + 0.875883i \(0.339720\pi\)
\(104\) −8.64461 −0.847674
\(105\) −7.65028 + 6.81713i −0.746591 + 0.665283i
\(106\) −7.68390 −0.746327
\(107\) 10.4080 2.78881i 1.00618 0.269605i 0.282146 0.959371i \(-0.408954\pi\)
0.724032 + 0.689767i \(0.242287\pi\)
\(108\) 19.3192 6.95044i 1.85899 0.668807i
\(109\) 8.84242 5.10517i 0.846950 0.488987i −0.0126703 0.999920i \(-0.504033\pi\)
0.859621 + 0.510933i \(0.170700\pi\)
\(110\) 13.3852 + 14.0479i 1.27622 + 1.33941i
\(111\) −1.80386 8.79107i −0.171215 0.834412i
\(112\) −9.41200 + 2.78657i −0.889350 + 0.263306i
\(113\) 7.98156 7.98156i 0.750842 0.750842i −0.223794 0.974636i \(-0.571844\pi\)
0.974636 + 0.223794i \(0.0718444\pi\)
\(114\) −1.53568 0.510981i −0.143830 0.0478578i
\(115\) 5.53053 1.33963i 0.515725 0.124921i
\(116\) −18.8801 + 10.9004i −1.75297 + 1.01208i
\(117\) 3.36849 + 4.28191i 0.311417 + 0.395862i
\(118\) 13.1651 + 13.1651i 1.21194 + 1.21194i
\(119\) 6.90494 4.23006i 0.632974 0.387769i
\(120\) 11.9027 + 14.0790i 1.08656 + 1.28523i
\(121\) 0.826456 1.43146i 0.0751323 0.130133i
\(122\) 6.89454 25.7308i 0.624202 2.32955i
\(123\) −1.03956 + 17.4757i −0.0937341 + 1.57573i
\(124\) 2.21726 + 1.28013i 0.199116 + 0.114959i
\(125\) −0.809394 + 11.1510i −0.0723944 + 0.997376i
\(126\) 15.7998 + 11.1936i 1.40756 + 0.997209i
\(127\) 2.79324 2.79324i 0.247860 0.247860i −0.572232 0.820092i \(-0.693922\pi\)
0.820092 + 0.572232i \(0.193922\pi\)
\(128\) −5.16530 19.2771i −0.456552 1.70387i
\(129\) −0.545143 0.614101i −0.0479971 0.0540686i
\(130\) −5.15889 + 8.45698i −0.452465 + 0.741726i
\(131\) −7.64504 4.41386i −0.667950 0.385641i 0.127349 0.991858i \(-0.459353\pi\)
−0.795299 + 0.606217i \(0.792686\pi\)
\(132\) 13.4025 20.3226i 1.16654 1.76886i
\(133\) −0.287692 0.971718i −0.0249461 0.0842587i
\(134\) −31.2917 −2.70319
\(135\) 2.33566 11.3818i 0.201021 0.979587i
\(136\) −7.28455 12.6172i −0.624645 1.08192i
\(137\) −3.09498 + 11.5506i −0.264422 + 0.986836i 0.698181 + 0.715921i \(0.253993\pi\)
−0.962603 + 0.270915i \(0.912674\pi\)
\(138\) −4.81402 9.61517i −0.409797 0.818498i
\(139\) 8.03342i 0.681386i −0.940175 0.340693i \(-0.889338\pi\)
0.940175 0.340693i \(-0.110662\pi\)
\(140\) −6.00746 + 22.5910i −0.507723 + 1.90928i
\(141\) −4.92772 + 1.01113i −0.414989 + 0.0851526i
\(142\) 1.93632 + 7.22644i 0.162492 + 0.606430i
\(143\) 6.23965 + 1.67191i 0.521786 + 0.139812i
\(144\) 6.66853 8.91123i 0.555711 0.742603i
\(145\) −0.297949 + 12.3337i −0.0247433 + 1.02426i
\(146\) 8.00895i 0.662826i
\(147\) −0.0888504 + 12.1240i −0.00732825 + 0.999973i
\(148\) −14.4764 14.4764i −1.18995 1.18995i
\(149\) −8.89069 + 15.3991i −0.728354 + 1.26155i 0.229225 + 0.973374i \(0.426381\pi\)
−0.957579 + 0.288172i \(0.906952\pi\)
\(150\) 20.8766 3.24233i 1.70457 0.264735i
\(151\) −9.95334 17.2397i −0.809991 1.40295i −0.912869 0.408252i \(-0.866139\pi\)
0.102878 0.994694i \(-0.467195\pi\)
\(152\) −1.76118 + 0.471908i −0.142851 + 0.0382768i
\(153\) −3.41112 + 8.52470i −0.275772 + 0.689181i
\(154\) 22.9510 0.597868i 1.84945 0.0481776i
\(155\) 1.27190 0.693927i 0.102161 0.0557375i
\(156\) 11.7928 + 3.92393i 0.944182 + 0.314166i
\(157\) −9.98465 2.67538i −0.796862 0.213519i −0.162656 0.986683i \(-0.552006\pi\)
−0.634206 + 0.773164i \(0.718673\pi\)
\(158\) 8.74132 + 2.34223i 0.695422 + 0.186338i
\(159\) 5.17650 + 1.72242i 0.410523 + 0.136597i
\(160\) −1.00752 0.296222i −0.0796518 0.0234184i
\(161\) 3.21354 5.91668i 0.253262 0.466300i
\(162\) −21.9493 + 0.529858i −1.72450 + 0.0416296i
\(163\) −19.3203 + 5.17687i −1.51329 + 0.405484i −0.917525 0.397678i \(-0.869816\pi\)
−0.595761 + 0.803162i \(0.703149\pi\)
\(164\) 19.9687 + 34.5868i 1.55929 + 2.70077i
\(165\) −5.86836 12.4642i −0.456851 0.970336i
\(166\) −1.68012 + 2.91005i −0.130402 + 0.225863i
\(167\) −6.08875 6.08875i −0.471162 0.471162i 0.431129 0.902290i \(-0.358116\pi\)
−0.902290 + 0.431129i \(0.858116\pi\)
\(168\) 21.8018 + 0.727843i 1.68204 + 0.0561543i
\(169\) 9.70206i 0.746312i
\(170\) −16.6906 0.403200i −1.28011 0.0309240i
\(171\) 0.920018 + 0.688476i 0.0703556 + 0.0526491i
\(172\) −1.80945 0.484842i −0.137970 0.0369688i
\(173\) −0.435117 1.62388i −0.0330813 0.123461i 0.947411 0.320021i \(-0.103690\pi\)
−0.980492 + 0.196559i \(0.937023\pi\)
\(174\) 22.8373 4.68605i 1.73129 0.355249i
\(175\) 9.14361 + 9.56004i 0.691192 + 0.722671i
\(176\) 13.1969i 0.994758i
\(177\) −5.91797 11.8201i −0.444822 0.888455i
\(178\) 1.91903 7.16190i 0.143837 0.536807i
\(179\) −10.5758 18.3178i −0.790470 1.36913i −0.925676 0.378317i \(-0.876503\pi\)
0.135206 0.990818i \(-0.456830\pi\)
\(180\) −9.84672 24.6091i −0.733932 1.83426i
\(181\) 22.4232 1.66671 0.833353 0.552740i \(-0.186418\pi\)
0.833353 + 0.552740i \(0.186418\pi\)
\(182\) 3.32750 + 11.2391i 0.246650 + 0.833094i
\(183\) −10.4125 + 15.7889i −0.769716 + 1.16715i
\(184\) −10.4910 6.05699i −0.773407 0.446527i
\(185\) −11.2601 + 2.72746i −0.827857 + 0.200527i
\(186\) −1.81759 2.04751i −0.133272 0.150131i
\(187\) 2.81773 + 10.5159i 0.206053 + 0.769001i
\(188\) −8.11453 + 8.11453i −0.591813 + 0.591813i
\(189\) −8.13484 11.0826i −0.591723 0.806142i
\(190\) −0.589366 + 2.00458i −0.0427571 + 0.145428i
\(191\) 16.3692 + 9.45078i 1.18444 + 0.683834i 0.957037 0.289967i \(-0.0936444\pi\)
0.227399 + 0.973802i \(0.426978\pi\)
\(192\) −0.881001 + 14.8102i −0.0635807 + 1.06884i
\(193\) 3.98500 14.8722i 0.286847 1.07053i −0.660633 0.750709i \(-0.729712\pi\)
0.947479 0.319817i \(-0.103621\pi\)
\(194\) 17.8431 30.9051i 1.28106 2.21886i
\(195\) 5.37116 4.54089i 0.384637 0.325180i
\(196\) 15.0578 + 23.2008i 1.07556 + 1.65720i
\(197\) 0.582177 + 0.582177i 0.0414784 + 0.0414784i 0.727542 0.686063i \(-0.240663\pi\)
−0.686063 + 0.727542i \(0.740663\pi\)
\(198\) −20.4605 + 16.0959i −1.45406 + 1.14388i
\(199\) −4.00381 + 2.31160i −0.283823 + 0.163865i −0.635153 0.772387i \(-0.719063\pi\)
0.351330 + 0.936252i \(0.385730\pi\)
\(200\) 17.6228 15.9975i 1.24612 1.13120i
\(201\) 21.0806 + 7.01435i 1.48691 + 0.494754i
\(202\) −0.314943 + 0.314943i −0.0221593 + 0.0221593i
\(203\) 10.5874 + 10.0498i 0.743092 + 0.705360i
\(204\) 4.21030 + 20.5188i 0.294780 + 1.43660i
\(205\) 22.5944 + 0.545819i 1.57806 + 0.0381216i
\(206\) −10.2656 + 5.92686i −0.715240 + 0.412944i
\(207\) 1.08778 + 7.55667i 0.0756058 + 0.525225i
\(208\) 6.50794 1.74380i 0.451244 0.120911i
\(209\) 1.36249 0.0942452
\(210\) 13.7228 20.8942i 0.946964 1.44184i
\(211\) 22.8142 1.57060 0.785298 0.619118i \(-0.212510\pi\)
0.785298 + 0.619118i \(0.212510\pi\)
\(212\) 12.0215 3.22115i 0.825639 0.221229i
\(213\) 0.315416 5.30236i 0.0216120 0.363312i
\(214\) −22.7645 + 13.1431i −1.55615 + 0.898444i
\(215\) −0.767496 + 0.731290i −0.0523428 + 0.0498735i
\(216\) −20.3140 + 14.1118i −1.38219 + 0.960190i
\(217\) 0.400432 1.66692i 0.0271831 0.113158i
\(218\) −17.6129 + 17.6129i −1.19290 + 1.19290i
\(219\) −1.79528 + 5.39548i −0.121314 + 0.364593i
\(220\) −26.8301 16.3668i −1.80888 1.10345i
\(221\) −4.81349 + 2.77907i −0.323791 + 0.186941i
\(222\) 9.80126 + 19.5763i 0.657818 + 1.31388i
\(223\) −9.51124 9.51124i −0.636920 0.636920i 0.312875 0.949794i \(-0.398708\pi\)
−0.949794 + 0.312875i \(0.898708\pi\)
\(224\) −1.05956 + 0.649100i −0.0707947 + 0.0433698i
\(225\) −14.7910 2.49540i −0.986065 0.166360i
\(226\) −13.7682 + 23.8473i −0.915849 + 1.58630i
\(227\) 0.571878 2.13428i 0.0379569 0.141657i −0.944347 0.328951i \(-0.893305\pi\)
0.982304 + 0.187294i \(0.0599716\pi\)
\(228\) 2.61679 + 0.155662i 0.173301 + 0.0103090i
\(229\) −22.0869 12.7519i −1.45954 0.842668i −0.460555 0.887631i \(-0.652350\pi\)
−0.998989 + 0.0449629i \(0.985683\pi\)
\(230\) −12.1863 + 6.64865i −0.803541 + 0.438399i
\(231\) −15.5957 4.74192i −1.02612 0.311996i
\(232\) 18.5714 18.5714i 1.21927 1.21927i
\(233\) −6.67968 24.9289i −0.437601 1.63315i −0.734765 0.678322i \(-0.762708\pi\)
0.297164 0.954826i \(-0.403959\pi\)
\(234\) −10.6411 7.96303i −0.695629 0.520560i
\(235\) 1.52884 + 6.31168i 0.0997305 + 0.411728i
\(236\) −26.1157 15.0779i −1.69998 0.981487i
\(237\) −5.36383 3.53737i −0.348418 0.229777i
\(238\) −13.5999 + 14.3274i −0.881554 + 0.928711i
\(239\) 5.35194 0.346188 0.173094 0.984905i \(-0.444624\pi\)
0.173094 + 0.984905i \(0.444624\pi\)
\(240\) −11.8007 8.19809i −0.761733 0.529184i
\(241\) −4.02361 6.96910i −0.259184 0.448919i 0.706840 0.707374i \(-0.250120\pi\)
−0.966023 + 0.258454i \(0.916787\pi\)
\(242\) −1.04364 + 3.89492i −0.0670877 + 0.250375i
\(243\) 14.9056 + 4.56320i 0.956195 + 0.292729i
\(244\) 43.1461i 2.76215i
\(245\) 15.6464 0.437196i 0.999610 0.0279314i
\(246\) −8.58447 41.8362i −0.547326 2.66738i
\(247\) 0.180034 + 0.671896i 0.0114553 + 0.0427517i
\(248\) −2.97931 0.798304i −0.189186 0.0506923i
\(249\) 1.78418 1.58383i 0.113068 0.100371i
\(250\) −5.13344 26.7873i −0.324667 1.69418i
\(251\) 4.25486i 0.268565i −0.990943 0.134282i \(-0.957127\pi\)
0.990943 0.134282i \(-0.0428729\pi\)
\(252\) −29.4112 10.8891i −1.85273 0.685949i
\(253\) 6.40093 + 6.40093i 0.402423 + 0.402423i
\(254\) −4.81835 + 8.34562i −0.302330 + 0.523651i
\(255\) 11.1538 + 4.01299i 0.698475 + 0.251303i
\(256\) 15.7772 + 27.3269i 0.986075 + 1.70793i
\(257\) −3.49869 + 0.937470i −0.218242 + 0.0584778i −0.366283 0.930503i \(-0.619370\pi\)
0.148041 + 0.988981i \(0.452703\pi\)
\(258\) 1.67231 + 1.10287i 0.104114 + 0.0686615i
\(259\) −6.54271 + 12.0463i −0.406544 + 0.748518i
\(260\) 4.52587 15.3936i 0.280683 0.954671i
\(261\) −16.4355 1.96231i −1.01733 0.121464i
\(262\) 20.8017 + 5.57379i 1.28513 + 0.344350i
\(263\) −7.44545 1.99500i −0.459106 0.123017i 0.0218510 0.999761i \(-0.493044\pi\)
−0.480957 + 0.876744i \(0.659711\pi\)
\(264\) −9.25938 + 27.8278i −0.569876 + 1.71268i
\(265\) 1.98664 6.75707i 0.122039 0.415084i
\(266\) 1.29146 + 2.10811i 0.0791843 + 0.129256i
\(267\) −2.89822 + 4.39467i −0.177368 + 0.268949i
\(268\) 48.9560 13.1177i 2.99046 0.801292i
\(269\) 9.75238 + 16.8916i 0.594613 + 1.02990i 0.993601 + 0.112944i \(0.0360282\pi\)
−0.398988 + 0.916956i \(0.630638\pi\)
\(270\) 1.68265 + 28.2947i 0.102403 + 1.72196i
\(271\) 10.1887 17.6473i 0.618919 1.07200i −0.370764 0.928727i \(-0.620904\pi\)
0.989683 0.143273i \(-0.0457626\pi\)
\(272\) 8.02919 + 8.02919i 0.486841 + 0.486841i
\(273\) 0.277674 8.31743i 0.0168056 0.503394i
\(274\) 29.1720i 1.76235i
\(275\) −15.8141 + 8.13862i −0.953626 + 0.490777i
\(276\) 11.5623 + 13.0249i 0.695968 + 0.784006i
\(277\) 11.0945 + 2.97277i 0.666605 + 0.178616i 0.576225 0.817291i \(-0.304525\pi\)
0.0903802 + 0.995907i \(0.471192\pi\)
\(278\) 5.07226 + 18.9299i 0.304214 + 1.13534i
\(279\) 0.765508 + 1.78680i 0.0458298 + 0.106973i
\(280\) −0.0532605 28.1616i −0.00318292 1.68298i
\(281\) 1.16755i 0.0696500i −0.999393 0.0348250i \(-0.988913\pi\)
0.999393 0.0348250i \(-0.0110874\pi\)
\(282\) 10.9732 5.49397i 0.653447 0.327161i
\(283\) −6.31899 + 23.5828i −0.375625 + 1.40185i 0.476805 + 0.879009i \(0.341795\pi\)
−0.852430 + 0.522841i \(0.824872\pi\)
\(284\) −6.05875 10.4941i −0.359521 0.622708i
\(285\) 0.846391 1.21834i 0.0501359 0.0721680i
\(286\) −15.7587 −0.931834
\(287\) 18.4105 19.3953i 1.08674 1.14487i
\(288\) 0.523434 1.30811i 0.0308436 0.0770811i
\(289\) 6.61006 + 3.81632i 0.388827 + 0.224489i
\(290\) −7.08536 29.2513i −0.416067 1.71769i
\(291\) −18.9482 + 16.8205i −1.11077 + 0.986035i
\(292\) 3.35741 + 12.5300i 0.196478 + 0.733264i
\(293\) 17.1201 17.1201i 1.00016 1.00016i 0.000164506 1.00000i \(-0.499948\pi\)
1.00000 0.000164506i \(-5.23640e-5\pi\)
\(294\) −7.44569 28.6252i −0.434241 1.66945i
\(295\) −14.9809 + 8.17332i −0.872220 + 0.475869i
\(296\) 21.3595 + 12.3319i 1.24150 + 0.716779i
\(297\) 17.3919 6.25706i 1.00918 0.363071i
\(298\) 11.2271 41.9000i 0.650367 2.42720i
\(299\) −2.31075 + 4.00234i −0.133634 + 0.231462i
\(300\) −31.3023 + 13.8243i −1.80724 + 0.798144i
\(301\) 0.0326641 + 1.25391i 0.00188273 + 0.0722744i
\(302\) 34.3391 + 34.3391i 1.97599 + 1.97599i
\(303\) 0.282769 0.141574i 0.0162447 0.00813320i
\(304\) 1.23068 0.710535i 0.0705845 0.0407520i
\(305\) 20.8446 + 12.7155i 1.19356 + 0.728088i
\(306\) 2.65550 22.2414i 0.151805 1.27145i
\(307\) −9.35548 + 9.35548i −0.533946 + 0.533946i −0.921744 0.387799i \(-0.873236\pi\)
0.387799 + 0.921744i \(0.373236\pi\)
\(308\) −35.6563 + 10.5566i −2.03171 + 0.601518i
\(309\) 8.24432 1.69167i 0.469003 0.0962359i
\(310\) −2.55896 + 2.43824i −0.145339 + 0.138483i
\(311\) −2.36072 + 1.36296i −0.133864 + 0.0772864i −0.565436 0.824792i \(-0.691292\pi\)
0.431572 + 0.902078i \(0.357959\pi\)
\(312\) −14.9465 0.889107i −0.846178 0.0503357i
\(313\) −25.0318 + 6.70726i −1.41488 + 0.379117i −0.883666 0.468118i \(-0.844932\pi\)
−0.531218 + 0.847235i \(0.678265\pi\)
\(314\) 25.2171 1.42308
\(315\) −13.9284 + 10.9999i −0.784779 + 0.619776i
\(316\) −14.6577 −0.824560
\(317\) −4.55428 + 1.22032i −0.255794 + 0.0685398i −0.384437 0.923151i \(-0.625604\pi\)
0.128643 + 0.991691i \(0.458938\pi\)
\(318\) −13.2854 0.790297i −0.745010 0.0443177i
\(319\) −16.9966 + 9.81297i −0.951625 + 0.549421i
\(320\) 19.1481 + 0.462567i 1.07041 + 0.0258583i
\(321\) 18.2822 3.75137i 1.02041 0.209381i
\(322\) −3.83661 + 15.9711i −0.213806 + 0.890033i
\(323\) −0.828954 + 0.828954i −0.0461243 + 0.0461243i
\(324\) 34.1176 10.0303i 1.89542 0.557238i
\(325\) −6.10309 6.72315i −0.338539 0.372933i
\(326\) 42.2578 24.3975i 2.34044 1.35125i
\(327\) 15.8136 7.91737i 0.874492 0.437831i
\(328\) −34.0213 34.0213i −1.87851 1.87851i
\(329\) 6.75237 + 3.66743i 0.372270 + 0.202192i
\(330\) 21.6980 + 25.6654i 1.19444 + 1.41283i
\(331\) −5.05610 + 8.75743i −0.277909 + 0.481352i −0.970865 0.239628i \(-0.922975\pi\)
0.692956 + 0.720980i \(0.256308\pi\)
\(332\) 1.40863 5.25709i 0.0773088 0.288520i
\(333\) −2.21470 15.3852i −0.121365 0.843106i
\(334\) 18.1919 + 10.5031i 0.995419 + 0.574705i
\(335\) 8.09036 27.5173i 0.442023 1.50343i
\(336\) −16.5599 + 3.84993i −0.903416 + 0.210031i
\(337\) 8.78763 8.78763i 0.478692 0.478692i −0.426021 0.904713i \(-0.640085\pi\)
0.904713 + 0.426021i \(0.140085\pi\)
\(338\) 6.12584 + 22.8619i 0.333202 + 1.24353i
\(339\) 14.6210 12.9792i 0.794103 0.704931i
\(340\) 26.2815 6.36601i 1.42532 0.345246i
\(341\) 1.99606 + 1.15243i 0.108093 + 0.0624074i
\(342\) −2.60263 1.04143i −0.140734 0.0563141i
\(343\) 12.0337 14.0780i 0.649758 0.760141i
\(344\) 2.25679 0.121678
\(345\) 9.70004 1.74739i 0.522232 0.0940762i
\(346\) 2.05062 + 3.55177i 0.110242 + 0.190945i
\(347\) −2.85959 + 10.6721i −0.153511 + 0.572911i 0.845717 + 0.533631i \(0.179173\pi\)
−0.999228 + 0.0392795i \(0.987494\pi\)
\(348\) −33.7647 + 16.9049i −1.80998 + 0.906199i
\(349\) 6.84738i 0.366532i −0.983063 0.183266i \(-0.941333\pi\)
0.983063 0.183266i \(-0.0586670\pi\)
\(350\) −27.5822 16.7541i −1.47433 0.895542i
\(351\) 5.38370 + 7.74984i 0.287361 + 0.413656i
\(352\) −0.432380 1.61366i −0.0230459 0.0860085i
\(353\) −21.5279 5.76838i −1.14581 0.307020i −0.364528 0.931192i \(-0.618770\pi\)
−0.781287 + 0.624172i \(0.785436\pi\)
\(354\) 21.4083 + 24.1164i 1.13784 + 1.28177i
\(355\) −6.85542 0.165608i −0.363848 0.00878958i
\(356\) 12.0093i 0.636491i
\(357\) 12.3737 6.60357i 0.654884 0.349498i
\(358\) 36.4865 + 36.4865i 1.92837 + 1.92837i
\(359\) 13.3858 23.1849i 0.706476 1.22365i −0.259680 0.965695i \(-0.583617\pi\)
0.966156 0.257958i \(-0.0830495\pi\)
\(360\) 19.1316 + 25.5667i 1.00832 + 1.34748i
\(361\) −9.42664 16.3274i −0.496139 0.859338i
\(362\) −52.8381 + 14.1579i −2.77711 + 0.744124i
\(363\) 1.57616 2.38999i 0.0827272 0.125442i
\(364\) −9.91737 16.1886i −0.519811 0.848514i
\(365\) 7.04291 + 2.07068i 0.368643 + 0.108385i
\(366\) 14.5671 43.7793i 0.761432 2.28838i
\(367\) −16.2394 4.35135i −0.847692 0.227138i −0.191275 0.981536i \(-0.561262\pi\)
−0.656417 + 0.754398i \(0.727929\pi\)
\(368\) 9.11979 + 2.44364i 0.475402 + 0.127384i
\(369\) −3.59479 + 30.1085i −0.187137 + 1.56739i
\(370\) 24.8111 13.5365i 1.28987 0.703731i
\(371\) −4.35326 7.10604i −0.226010 0.368927i
\(372\) 3.70196 + 2.44139i 0.191938 + 0.126580i
\(373\) −10.1335 + 2.71527i −0.524694 + 0.140591i −0.511437 0.859321i \(-0.670887\pi\)
−0.0132570 + 0.999912i \(0.504220\pi\)
\(374\) −13.2794 23.0006i −0.686662 1.18933i
\(375\) −2.54633 + 19.1968i −0.131492 + 0.991317i
\(376\) 6.91249 11.9728i 0.356485 0.617450i
\(377\) −7.08503 7.08503i −0.364898 0.364898i
\(378\) 26.1664 + 20.9788i 1.34586 + 1.07903i
\(379\) 22.0750i 1.13391i 0.823747 + 0.566957i \(0.191880\pi\)
−0.823747 + 0.566957i \(0.808120\pi\)
\(380\) 0.0817299 3.38324i 0.00419266 0.173557i
\(381\) 5.11678 4.54221i 0.262141 0.232704i
\(382\) −44.5396 11.9344i −2.27885 0.610615i
\(383\) 5.20486 + 19.4248i 0.265956 + 0.992561i 0.961663 + 0.274235i \(0.0884247\pi\)
−0.695707 + 0.718326i \(0.744909\pi\)
\(384\) −6.94809 33.8613i −0.354568 1.72798i
\(385\) −5.40815 + 20.3373i −0.275625 + 1.03648i
\(386\) 37.5610i 1.91181i
\(387\) −0.879387 1.11785i −0.0447018 0.0568233i
\(388\) −14.9599 + 55.8311i −0.759474 + 2.83440i
\(389\) −0.689060 1.19349i −0.0349368 0.0605122i 0.848028 0.529951i \(-0.177790\pi\)
−0.882965 + 0.469439i \(0.844456\pi\)
\(390\) −9.78950 + 14.0915i −0.495711 + 0.713550i
\(391\) −7.78881 −0.393897
\(392\) −24.7565 22.3031i −1.25039 1.12647i
\(393\) −12.7643 8.41785i −0.643872 0.424624i
\(394\) −1.73943 1.00426i −0.0876310 0.0505938i
\(395\) −4.31975 + 7.08137i −0.217350 + 0.356302i
\(396\) 25.2630 33.7592i 1.26951 1.69646i
\(397\) 5.76560 + 21.5175i 0.289367 + 1.07993i 0.945589 + 0.325365i \(0.105487\pi\)
−0.656222 + 0.754568i \(0.727846\pi\)
\(398\) 7.97504 7.97504i 0.399753 0.399753i
\(399\) −0.397476 1.70969i −0.0198987 0.0855913i
\(400\) −10.0400 + 15.5983i −0.502000 + 0.779917i
\(401\) −7.51392 4.33816i −0.375227 0.216638i 0.300512 0.953778i \(-0.402842\pi\)
−0.675740 + 0.737140i \(0.736176\pi\)
\(402\) −54.1032 3.21838i −2.69842 0.160518i
\(403\) −0.304555 + 1.13661i −0.0151710 + 0.0566188i
\(404\) 0.360703 0.624756i 0.0179457 0.0310828i
\(405\) 5.20897 19.4388i 0.258836 0.965921i
\(406\) −31.2936 16.9966i −1.55308 0.843526i
\(407\) −13.0322 13.0322i −0.645981 0.645981i
\(408\) −11.2973 22.5643i −0.559297 1.11710i
\(409\) 6.78090 3.91495i 0.335294 0.193582i −0.322895 0.946435i \(-0.604656\pi\)
0.658189 + 0.752853i \(0.271323\pi\)
\(410\) −53.5860 + 12.9798i −2.64642 + 0.641027i
\(411\) −6.53920 + 19.6526i −0.322555 + 0.969393i
\(412\) 13.5760 13.5760i 0.668842 0.668842i
\(413\) −4.71643 + 19.6336i −0.232080 + 0.966105i
\(414\) −7.33448 17.1197i −0.360470 0.841387i
\(415\) −2.12465 2.22984i −0.104295 0.109459i
\(416\) 0.738628 0.426447i 0.0362142 0.0209083i
\(417\) 0.826245 13.8897i 0.0404614 0.680184i
\(418\) −3.21056 + 0.860268i −0.157034 + 0.0420771i
\(419\) −17.2587 −0.843141 −0.421571 0.906796i \(-0.638521\pi\)
−0.421571 + 0.906796i \(0.638521\pi\)
\(420\) −12.7104 + 38.4418i −0.620202 + 1.87577i
\(421\) −30.2371 −1.47366 −0.736832 0.676076i \(-0.763679\pi\)
−0.736832 + 0.676076i \(0.763679\pi\)
\(422\) −53.7594 + 14.4048i −2.61697 + 0.701214i
\(423\) −8.62399 + 1.24142i −0.419313 + 0.0603599i
\(424\) −12.9847 + 7.49671i −0.630592 + 0.364073i
\(425\) 4.66986 14.5731i 0.226521 0.706901i
\(426\) 2.60464 + 12.6936i 0.126195 + 0.615009i
\(427\) 27.7018 8.20154i 1.34058 0.396900i
\(428\) 30.1055 30.1055i 1.45520 1.45520i
\(429\) 10.6164 + 3.53248i 0.512563 + 0.170550i
\(430\) 1.34679 2.20780i 0.0649482 0.106470i
\(431\) −17.6840 + 10.2099i −0.851811 + 0.491793i −0.861261 0.508162i \(-0.830325\pi\)
0.00945079 + 0.999955i \(0.496992\pi\)
\(432\) 12.4464 14.7216i 0.598827 0.708294i
\(433\) 14.4338 + 14.4338i 0.693646 + 0.693646i 0.963032 0.269386i \(-0.0868207\pi\)
−0.269386 + 0.963032i \(0.586821\pi\)
\(434\) 0.108908 + 4.18076i 0.00522773 + 0.200683i
\(435\) −1.78369 + 21.2943i −0.0855212 + 1.02098i
\(436\) 20.1720 34.9389i 0.966062 1.67327i
\(437\) −0.252288 + 0.941550i −0.0120685 + 0.0450404i
\(438\) 0.823729 13.8474i 0.0393593 0.661656i
\(439\) 12.5945 + 7.27146i 0.601105 + 0.347048i 0.769476 0.638676i \(-0.220517\pi\)
−0.168371 + 0.985724i \(0.553851\pi\)
\(440\) 36.3246 + 10.6798i 1.73171 + 0.509139i
\(441\) −1.40059 + 20.9532i −0.0666948 + 0.997773i
\(442\) 9.58782 9.58782i 0.456046 0.456046i
\(443\) 2.65557 + 9.91074i 0.126170 + 0.470873i 0.999879 0.0155764i \(-0.00495834\pi\)
−0.873709 + 0.486450i \(0.838292\pi\)
\(444\) −23.5406 26.5185i −1.11719 1.25851i
\(445\) 5.80188 + 3.53924i 0.275035 + 0.167776i
\(446\) 28.4176 + 16.4069i 1.34561 + 0.776890i
\(447\) −16.9558 + 25.7106i −0.801981 + 1.21607i
\(448\) 15.6024 16.4370i 0.737144 0.776576i
\(449\) −6.70137 −0.316257 −0.158129 0.987419i \(-0.550546\pi\)
−0.158129 + 0.987419i \(0.550546\pi\)
\(450\) 36.4290 3.45879i 1.71728 0.163049i
\(451\) 17.9766 + 31.1363i 0.846484 + 1.46615i
\(452\) 11.5435 43.0808i 0.542959 2.02635i
\(453\) −15.4361 30.8310i −0.725253 1.44857i
\(454\) 5.39029i 0.252979i
\(455\) −10.7437 + 0.0203190i −0.503673 + 0.000952569i
\(456\) −3.09361 + 0.634787i −0.144872 + 0.0297266i
\(457\) −8.00943 29.8916i −0.374665 1.39827i −0.853833 0.520547i \(-0.825728\pi\)
0.479168 0.877723i \(-0.340939\pi\)
\(458\) 60.0971 + 16.1030i 2.80815 + 0.752442i
\(459\) −6.77458 + 14.3883i −0.316210 + 0.671589i
\(460\) 16.2783 15.5104i 0.758981 0.723176i
\(461\) 35.1427i 1.63676i 0.574680 + 0.818378i \(0.305127\pi\)
−0.574680 + 0.818378i \(0.694873\pi\)
\(462\) 39.7437 + 1.32683i 1.84904 + 0.0617295i
\(463\) −3.51567 3.51567i −0.163387 0.163387i 0.620678 0.784065i \(-0.286857\pi\)
−0.784065 + 0.620678i \(0.786857\pi\)
\(464\) −10.2349 + 17.7274i −0.475143 + 0.822973i
\(465\) 2.27048 1.06898i 0.105291 0.0495727i
\(466\) 31.4800 + 54.5250i 1.45828 + 2.52582i
\(467\) 29.9748 8.03172i 1.38707 0.371664i 0.513385 0.858159i \(-0.328391\pi\)
0.873683 + 0.486495i \(0.161725\pi\)
\(468\) 19.9862 + 7.99736i 0.923860 + 0.369678i
\(469\) −17.7281 28.9385i −0.818607 1.33625i
\(470\) −7.58772 13.9075i −0.349995 0.641507i
\(471\) −16.9882 5.65265i −0.782777 0.260460i
\(472\) 35.0914 + 9.40271i 1.61521 + 0.432795i
\(473\) −1.62894 0.436473i −0.0748988 0.0200691i
\(474\) 14.8728 + 4.94876i 0.683130 + 0.227304i
\(475\) −1.61041 1.03655i −0.0738907 0.0475604i
\(476\) 15.2710 28.1165i 0.699944 1.28872i
\(477\) 8.77299 + 3.51047i 0.401687 + 0.160733i
\(478\) −12.6113 + 3.37919i −0.576827 + 0.154560i
\(479\) 7.30399 + 12.6509i 0.333728 + 0.578034i 0.983240 0.182318i \(-0.0583600\pi\)
−0.649512 + 0.760352i \(0.725027\pi\)
\(480\) −1.71154 0.615791i −0.0781206 0.0281069i
\(481\) 4.70466 8.14871i 0.214514 0.371549i
\(482\) 13.8815 + 13.8815i 0.632285 + 0.632285i
\(483\) 6.16472 9.89939i 0.280505 0.450438i
\(484\) 6.53111i 0.296869i
\(485\) 22.5641 + 23.6813i 1.02458 + 1.07531i
\(486\) −38.0048 1.34139i −1.72393 0.0608466i
\(487\) −1.59898 0.428446i −0.0724568 0.0194148i 0.222409 0.974954i \(-0.428608\pi\)
−0.294865 + 0.955539i \(0.595275\pi\)
\(488\) −13.4532 50.2079i −0.608996 2.27280i
\(489\) −33.9372 + 6.96366i −1.53469 + 0.314908i
\(490\) −36.5930 + 10.9093i −1.65311 + 0.492830i
\(491\) 32.6849i 1.47505i −0.675321 0.737524i \(-0.735995\pi\)
0.675321 0.737524i \(-0.264005\pi\)
\(492\) 30.9684 + 61.8541i 1.39617 + 2.78860i
\(493\) 4.37059 16.3113i 0.196842 0.734623i
\(494\) −0.848464 1.46958i −0.0381742 0.0661196i
\(495\) −8.86440 22.1541i −0.398425 0.995752i
\(496\) 2.40395 0.107941
\(497\) −5.58598 + 5.88479i −0.250565 + 0.263969i
\(498\) −3.20421 + 4.85865i −0.143584 + 0.217721i
\(499\) 17.4676 + 10.0849i 0.781956 + 0.451463i 0.837123 0.547014i \(-0.184236\pi\)
−0.0551669 + 0.998477i \(0.517569\pi\)
\(500\) 19.2607 + 39.7568i 0.861364 + 1.77798i
\(501\) −9.90118 11.1537i −0.442352 0.498308i
\(502\) 2.68650 + 10.0262i 0.119904 + 0.447489i
\(503\) −9.55454 + 9.55454i −0.426016 + 0.426016i −0.887269 0.461253i \(-0.847400\pi\)
0.461253 + 0.887269i \(0.347400\pi\)
\(504\) 37.6203 + 3.50077i 1.67574 + 0.155937i
\(505\) −0.195528 0.358382i −0.00870086 0.0159478i
\(506\) −19.1247 11.0416i −0.850194 0.490860i
\(507\) 0.997867 16.7748i 0.0443168 0.744996i
\(508\) 4.03977 15.0766i 0.179236 0.668917i
\(509\) 2.00475 3.47233i 0.0888591 0.153908i −0.818170 0.574976i \(-0.805011\pi\)
0.907029 + 0.421068i \(0.138345\pi\)
\(510\) −28.8165 2.41378i −1.27602 0.106884i
\(511\) 7.40665 4.53741i 0.327651 0.200723i
\(512\) −26.2078 26.2078i −1.15823 1.15823i
\(513\) 1.51990 + 1.28500i 0.0671050 + 0.0567340i
\(514\) 7.65238 4.41811i 0.337532 0.194874i
\(515\) −2.55783 10.5598i −0.112711 0.465319i
\(516\) −3.07867 1.02439i −0.135531 0.0450964i
\(517\) −7.30501 + 7.30501i −0.321274 + 0.321274i
\(518\) 7.81128 32.5168i 0.343208 1.42871i
\(519\) −0.585297 2.85243i −0.0256917 0.125208i
\(520\) −0.466823 + 19.3243i −0.0204715 + 0.847426i
\(521\) 0.115369 0.0666082i 0.00505440 0.00291816i −0.497471 0.867481i \(-0.665738\pi\)
0.502525 + 0.864563i \(0.332404\pi\)
\(522\) 39.9676 5.75332i 1.74933 0.251816i
\(523\) 27.3590 7.33082i 1.19633 0.320554i 0.394942 0.918706i \(-0.370765\pi\)
0.801383 + 0.598151i \(0.204098\pi\)
\(524\) −34.8808 −1.52377
\(525\) 14.8260 + 17.4697i 0.647059 + 0.762440i
\(526\) 18.8041 0.819897
\(527\) −1.91558 + 0.513278i −0.0834440 + 0.0223587i
\(528\) 1.35732 22.8175i 0.0590697 0.993002i
\(529\) 14.3100 8.26186i 0.622173 0.359211i
\(530\) −0.414943 + 17.1767i −0.0180240 + 0.746109i
\(531\) −9.01643 21.0456i −0.391280 0.913302i
\(532\) −2.90422 2.75675i −0.125914 0.119520i
\(533\) −12.9792 + 12.9792i −0.562192 + 0.562192i
\(534\) 4.05459 12.1855i 0.175459 0.527319i
\(535\) −5.67211 23.4168i −0.245226 1.01240i
\(536\) −52.8785 + 30.5294i −2.28400 + 1.31867i
\(537\) −16.4014 32.7591i −0.707775 1.41366i
\(538\) −33.6458 33.6458i −1.45057 1.45057i
\(539\) 13.5556 + 20.8863i 0.583883 + 0.899636i
\(540\) −14.4939 43.5618i −0.623716 1.87460i
\(541\) −7.52532 + 13.0342i −0.323539 + 0.560386i −0.981216 0.192915i \(-0.938206\pi\)
0.657677 + 0.753300i \(0.271539\pi\)
\(542\) −12.8662 + 48.0173i −0.552650 + 2.06252i
\(543\) 38.7697 + 2.30625i 1.66377 + 0.0989708i
\(544\) 1.24484 + 0.718708i 0.0533720 + 0.0308143i
\(545\) −10.9347 20.0422i −0.468390 0.858513i
\(546\) 4.59727 + 19.7745i 0.196745 + 0.846270i
\(547\) −12.4068 + 12.4068i −0.530476 + 0.530476i −0.920714 0.390238i \(-0.872393\pi\)
0.390238 + 0.920714i \(0.372393\pi\)
\(548\) 12.2291 + 45.6397i 0.522402 + 1.94963i
\(549\) −19.6271 + 26.2279i −0.837664 + 1.11938i
\(550\) 32.1256 29.1628i 1.36984 1.24351i
\(551\) −1.83022 1.05668i −0.0779699 0.0450160i
\(552\) −17.5159 11.5515i −0.745527 0.491665i
\(553\) 2.78625 + 9.41091i 0.118483 + 0.400193i
\(554\) −28.0201 −1.19046
\(555\) −19.7491 + 3.55765i −0.838303 + 0.151014i
\(556\) −15.8711 27.4896i −0.673086 1.16582i
\(557\) −5.06579 + 18.9058i −0.214645 + 0.801065i 0.771647 + 0.636051i \(0.219433\pi\)
−0.986291 + 0.165013i \(0.947233\pi\)
\(558\) −2.93202 3.72708i −0.124122 0.157780i
\(559\) 0.860969i 0.0364151i
\(560\) 5.72087 + 21.1902i 0.241751 + 0.895450i
\(561\) 3.79027 + 18.4718i 0.160025 + 0.779880i
\(562\) 0.737184 + 2.75121i 0.0310962 + 0.116053i
\(563\) −27.3385 7.32534i −1.15218 0.308726i −0.368343 0.929690i \(-0.620075\pi\)
−0.783839 + 0.620964i \(0.786741\pi\)
\(564\) −14.8646 + 13.1954i −0.625911 + 0.555626i
\(565\) −17.4111 18.2731i −0.732490 0.768756i
\(566\) 59.5602i 2.50350i
\(567\) −12.9252 19.9985i −0.542809 0.839856i
\(568\) 10.3225 + 10.3225i 0.433122 + 0.433122i
\(569\) −3.02998 + 5.24808i −0.127023 + 0.220011i −0.922522 0.385944i \(-0.873876\pi\)
0.795499 + 0.605955i \(0.207209\pi\)
\(570\) −1.22518 + 3.40529i −0.0513173 + 0.142632i
\(571\) 10.6877 + 18.5116i 0.447266 + 0.774687i 0.998207 0.0598570i \(-0.0190645\pi\)
−0.550941 + 0.834544i \(0.685731\pi\)
\(572\) 24.6546 6.60618i 1.03086 0.276218i
\(573\) 27.3303 + 18.0239i 1.14174 + 0.752961i
\(574\) −31.1363 + 57.3274i −1.29961 + 2.39280i
\(575\) −2.69597 12.4354i −0.112430 0.518591i
\(576\) −3.04649 + 25.5162i −0.126937 + 1.06317i
\(577\) 38.1345 + 10.2181i 1.58756 + 0.425386i 0.941256 0.337694i \(-0.109647\pi\)
0.646305 + 0.763079i \(0.276313\pi\)
\(578\) −17.9855 4.81921i −0.748100 0.200453i
\(579\) 8.41967 25.3041i 0.349909 1.05160i
\(580\) 23.3474 + 42.7934i 0.969448 + 1.77690i
\(581\) −3.64306 + 0.0949006i −0.151139 + 0.00393714i
\(582\) 34.0292 51.5996i 1.41056 2.13887i
\(583\) 10.8222 2.89980i 0.448210 0.120098i
\(584\) −7.81384 13.5340i −0.323339 0.560040i
\(585\) 9.75374 7.29875i 0.403268 0.301766i
\(586\) −29.5322 + 51.1512i −1.21996 + 2.11304i
\(587\) 28.9592 + 28.9592i 1.19527 + 1.19527i 0.975566 + 0.219708i \(0.0705105\pi\)
0.219708 + 0.975566i \(0.429489\pi\)
\(588\) 23.6487 + 41.6628i 0.975255 + 1.71815i
\(589\) 0.248190i 0.0102265i
\(590\) 30.1403 28.7185i 1.24086 1.18232i
\(591\) 0.946704 + 1.06646i 0.0389422 + 0.0438682i
\(592\) −18.5677 4.97521i −0.763129 0.204480i
\(593\) −8.08560 30.1759i −0.332036 1.23917i −0.907047 0.421029i \(-0.861669\pi\)
0.575011 0.818146i \(-0.304998\pi\)
\(594\) −37.0316 + 25.7253i −1.51942 + 1.05552i
\(595\) −9.08306 15.6638i −0.372369 0.642155i
\(596\) 70.2592i 2.87793i
\(597\) −7.16032 + 3.58495i −0.293052 + 0.146722i
\(598\) 2.91800 10.8901i 0.119326 0.445330i
\(599\) −8.18471 14.1763i −0.334418 0.579229i 0.648955 0.760827i \(-0.275206\pi\)
−0.983373 + 0.181598i \(0.941873\pi\)
\(600\) 32.1151 25.8471i 1.31109 1.05520i
\(601\) −0.0942728 −0.00384547 −0.00192273 0.999998i \(-0.500612\pi\)
−0.00192273 + 0.999998i \(0.500612\pi\)
\(602\) −0.868685 2.93410i −0.0354050 0.119585i
\(603\) 35.7269 + 14.2959i 1.45491 + 0.582175i
\(604\) −68.1188 39.3284i −2.77171 1.60025i
\(605\) −3.15529 1.92477i −0.128281 0.0782532i
\(606\) −0.576928 + 0.512143i −0.0234361 + 0.0208044i
\(607\) −0.226095 0.843796i −0.00917689 0.0342486i 0.961186 0.275903i \(-0.0889768\pi\)
−0.970362 + 0.241654i \(0.922310\pi\)
\(608\) 0.127203 0.127203i 0.00515874 0.00515874i
\(609\) 17.2720 + 18.4650i 0.699896 + 0.748241i
\(610\) −57.1467 16.8017i −2.31380 0.680280i
\(611\) −4.56765 2.63713i −0.184787 0.106687i
\(612\) 5.16921 + 35.9099i 0.208953 + 1.45157i
\(613\) 0.280310 1.04613i 0.0113216 0.0422528i −0.960034 0.279884i \(-0.909704\pi\)
0.971356 + 0.237631i \(0.0763708\pi\)
\(614\) 16.1382 27.9523i 0.651287 1.12806i
\(615\) 39.0094 + 3.26757i 1.57301 + 0.131761i
\(616\) 38.2006 23.4022i 1.53915 0.942902i
\(617\) −19.6770 19.6770i −0.792168 0.792168i 0.189679 0.981846i \(-0.439255\pi\)
−0.981846 + 0.189679i \(0.939255\pi\)
\(618\) −18.3588 + 9.19168i −0.738499 + 0.369744i
\(619\) 16.1891 9.34677i 0.650694 0.375679i −0.138028 0.990428i \(-0.544076\pi\)
0.788722 + 0.614750i \(0.210743\pi\)
\(620\) 2.98137 4.88736i 0.119735 0.196281i
\(621\) 1.10355 + 13.1773i 0.0442840 + 0.528787i
\(622\) 4.70222 4.70222i 0.188542 0.188542i
\(623\) 7.71051 2.28282i 0.308915 0.0914591i
\(624\) 11.4315 2.34567i 0.457628 0.0939018i
\(625\) 24.8834 + 2.41150i 0.995337 + 0.0964602i
\(626\) 54.7501 31.6100i 2.18825 1.26339i
\(627\) 2.35573 + 0.140133i 0.0940789 + 0.00559638i
\(628\) −39.4521 + 10.5712i −1.57431 + 0.421836i
\(629\) 15.8579 0.632296
\(630\) 25.8757 34.7146i 1.03091 1.38306i
\(631\) −7.63531 −0.303957 −0.151978 0.988384i \(-0.548564\pi\)
−0.151978 + 0.988384i \(0.548564\pi\)
\(632\) 17.0567 4.57034i 0.678481 0.181798i
\(633\) 39.4457 + 2.34647i 1.56782 + 0.0932636i
\(634\) 9.96121 5.75111i 0.395610 0.228406i
\(635\) −6.09321 6.39489i −0.241802 0.253773i
\(636\) 21.1164 4.33292i 0.837319 0.171812i
\(637\) −8.50866 + 9.44466i −0.337126 + 0.374211i
\(638\) 33.8548 33.8548i 1.34033 1.34033i
\(639\) 1.09071 9.13531i 0.0431477 0.361387i
\(640\) −43.3714 + 10.5056i −1.71440 + 0.415270i
\(641\) 23.0817 13.3263i 0.911674 0.526355i 0.0307047 0.999528i \(-0.490225\pi\)
0.880969 + 0.473173i \(0.156892\pi\)
\(642\) −40.7115 + 20.3830i −1.60676 + 0.804453i
\(643\) −21.9767 21.9767i −0.866677 0.866677i 0.125426 0.992103i \(-0.459970\pi\)
−0.992103 + 0.125426i \(0.959970\pi\)
\(644\) −0.692795 26.5951i −0.0273000 1.04799i
\(645\) −1.40221 + 1.18546i −0.0552120 + 0.0466774i
\(646\) 1.42995 2.47675i 0.0562606 0.0974462i
\(647\) 6.11969 22.8390i 0.240590 0.897893i −0.734959 0.678111i \(-0.762799\pi\)
0.975549 0.219782i \(-0.0705346\pi\)
\(648\) −36.5742 + 22.3100i −1.43677 + 0.876419i
\(649\) −23.5103 13.5737i −0.922861 0.532814i
\(650\) 18.6263 + 11.9890i 0.730583 + 0.470246i
\(651\) 0.863788 2.84091i 0.0338545 0.111344i
\(652\) −55.8848 + 55.8848i −2.18862 + 2.18862i
\(653\) 7.04229 + 26.2822i 0.275586 + 1.02850i 0.955448 + 0.295161i \(0.0953733\pi\)
−0.679861 + 0.733341i \(0.737960\pi\)
\(654\) −32.2641 + 28.6411i −1.26163 + 1.11996i
\(655\) −10.2797 + 16.8515i −0.401660 + 0.658442i
\(656\) 32.4751 + 18.7495i 1.26794 + 0.732046i
\(657\) −3.65897 + 9.14410i −0.142750 + 0.356745i
\(658\) −18.2269 4.37851i −0.710557 0.170692i
\(659\) 43.7515 1.70432 0.852158 0.523285i \(-0.175294\pi\)
0.852158 + 0.523285i \(0.175294\pi\)
\(660\) −44.7057 31.0575i −1.74017 1.20891i
\(661\) −4.32752 7.49549i −0.168321 0.291541i 0.769509 0.638636i \(-0.220501\pi\)
−0.937830 + 0.347096i \(0.887168\pi\)
\(662\) 6.38480 23.8284i 0.248152 0.926117i
\(663\) −8.60834 + 4.30993i −0.334320 + 0.167384i
\(664\) 6.55674i 0.254451i
\(665\) −2.18773 + 0.590638i −0.0848366 + 0.0229039i
\(666\) 14.9329 + 34.8554i 0.578638 + 1.35062i
\(667\) −3.63408 13.5626i −0.140712 0.525145i
\(668\) −32.8643 8.80597i −1.27156 0.340713i
\(669\) −15.4666 17.4231i −0.597975 0.673617i
\(670\) −1.68980 + 69.9500i −0.0652828 + 2.70240i
\(671\) 38.8418i 1.49947i
\(672\) −1.89873 + 1.01331i −0.0732451 + 0.0390894i
\(673\) 6.15620 + 6.15620i 0.237304 + 0.237304i 0.815733 0.578429i \(-0.196334\pi\)
−0.578429 + 0.815733i \(0.696334\pi\)
\(674\) −15.1587 + 26.2556i −0.583891 + 1.01133i
\(675\) −25.3169 5.83580i −0.974446 0.224620i
\(676\) −19.1678 33.1996i −0.737222 1.27691i
\(677\) 5.23005 1.40139i 0.201007 0.0538597i −0.156911 0.987613i \(-0.550153\pi\)
0.357918 + 0.933753i \(0.383487\pi\)
\(678\) −26.2579 + 39.8157i −1.00843 + 1.52911i
\(679\) 38.6898 1.00786i 1.48478 0.0386781i
\(680\) −28.5981 + 15.6026i −1.09669 + 0.598334i
\(681\) 1.20829 3.63134i 0.0463016 0.139153i
\(682\) −5.43115 1.45527i −0.207970 0.0557253i
\(683\) 6.89389 + 1.84721i 0.263788 + 0.0706817i 0.388289 0.921538i \(-0.373066\pi\)
−0.124501 + 0.992219i \(0.539733\pi\)
\(684\) 4.50840 + 0.538278i 0.172383 + 0.0205816i
\(685\) 25.6533 + 7.54232i 0.980163 + 0.288177i
\(686\) −19.4674 + 40.7714i −0.743269 + 1.55666i
\(687\) −36.8766 24.3196i −1.40693 0.927850i
\(688\) −1.69898 + 0.455240i −0.0647730 + 0.0173559i
\(689\) 2.86001 + 4.95369i 0.108958 + 0.188721i
\(690\) −21.7539 + 10.2421i −0.828156 + 0.389910i
\(691\) 18.5623 32.1509i 0.706144 1.22308i −0.260133 0.965573i \(-0.583766\pi\)
0.966277 0.257504i \(-0.0829002\pi\)
\(692\) −4.69713 4.69713i −0.178558 0.178558i
\(693\) −26.4771 9.80279i −1.00578 0.372377i
\(694\) 26.9534i 1.02314i
\(695\) −17.9580 0.433818i −0.681187 0.0164556i
\(696\) 34.0199 30.1998i 1.28952 1.14472i
\(697\) −29.8809 8.00657i −1.13182 0.303271i
\(698\) 4.32340 + 16.1352i 0.163643 + 0.610725i
\(699\) −8.98517 43.7890i −0.339850 1.65625i
\(700\) 50.1758 + 14.6491i 1.89647 + 0.553685i
\(701\) 23.4224i 0.884654i −0.896854 0.442327i \(-0.854153\pi\)
0.896854 0.442327i \(-0.145847\pi\)
\(702\) −17.5794 14.8625i −0.663490 0.560948i
\(703\) 0.513653 1.91698i 0.0193728 0.0723003i
\(704\) 15.2347 + 26.3872i 0.574178 + 0.994506i
\(705\) 1.99419 + 11.0701i 0.0751057 + 0.416924i
\(706\) 54.3705 2.04626
\(707\) −0.469687 0.112830i −0.0176644 0.00424339i
\(708\) −43.6031 28.7556i −1.63870 1.08070i
\(709\) 9.67685 + 5.58693i 0.363422 + 0.209822i 0.670581 0.741837i \(-0.266045\pi\)
−0.307159 + 0.951658i \(0.599378\pi\)
\(710\) 16.2587 3.93824i 0.610177 0.147800i
\(711\) −8.91020 6.66776i −0.334159 0.250061i
\(712\) −3.74455 13.9749i −0.140333 0.523730i
\(713\) −1.16599 + 1.16599i −0.0436667 + 0.0436667i
\(714\) −24.9878 + 23.3733i −0.935146 + 0.874724i
\(715\) 4.07436 13.8579i 0.152373 0.518257i
\(716\) −72.3786 41.7878i −2.70492 1.56168i
\(717\) 9.25347 + 0.550452i 0.345577 + 0.0205570i
\(718\) −16.9035 + 63.0846i −0.630832 + 2.35430i
\(719\) −22.9885 + 39.8173i −0.857328 + 1.48494i 0.0171399 + 0.999853i \(0.494544\pi\)
−0.874468 + 0.485083i \(0.838789\pi\)
\(720\) −19.5602 15.3882i −0.728966 0.573483i
\(721\) −11.2971 6.13579i −0.420724 0.228509i
\(722\) 32.5220 + 32.5220i 1.21034 + 1.21034i
\(723\) −6.24002 12.4634i −0.232069 0.463518i
\(724\) 76.7303 44.3002i 2.85166 1.64641i
\(725\) 27.5549 + 1.33208i 1.02336 + 0.0494722i
\(726\) −2.20504 + 6.62695i −0.0818369 + 0.245949i
\(727\) 35.2560 35.2560i 1.30757 1.30757i 0.384411 0.923162i \(-0.374405\pi\)
0.923162 0.384411i \(-0.125595\pi\)
\(728\) 16.5882 + 15.7459i 0.614801 + 0.583584i
\(729\) 25.3024 + 9.42280i 0.937125 + 0.348993i
\(730\) −17.9033 0.432496i −0.662632 0.0160074i
\(731\) 1.25662 0.725512i 0.0464779 0.0268340i
\(732\) −4.43762 + 74.5994i −0.164019 + 2.75727i
\(733\) 42.1232 11.2869i 1.55586 0.416890i 0.624507 0.781019i \(-0.285300\pi\)
0.931349 + 0.364129i \(0.118633\pi\)
\(734\) 41.0140 1.51386
\(735\) 27.0975 + 0.853335i 0.999505 + 0.0314757i
\(736\) 1.19519 0.0440552
\(737\) 44.0721 11.8091i 1.62342 0.434993i
\(738\) −10.5396 73.2174i −0.387968 2.69517i
\(739\) −13.3113 + 7.68531i −0.489666 + 0.282709i −0.724436 0.689342i \(-0.757900\pi\)
0.234770 + 0.972051i \(0.424566\pi\)
\(740\) −33.1424 + 31.5789i −1.21834 + 1.16086i
\(741\) 0.242173 + 1.18022i 0.00889643 + 0.0433565i
\(742\) 14.7447 + 13.9960i 0.541296 + 0.513811i
\(743\) −34.3837 + 34.3837i −1.26141 + 1.26141i −0.311007 + 0.950408i \(0.600666\pi\)
−0.950408 + 0.311007i \(0.899334\pi\)
\(744\) −5.06911 1.68669i −0.185842 0.0618370i
\(745\) 33.9434 + 20.7060i 1.24359 + 0.758608i
\(746\) 22.1642 12.7965i 0.811490 0.468514i
\(747\) 3.24773 2.55492i 0.118828 0.0934798i
\(748\) 30.4177 + 30.4177i 1.11218 + 1.11218i
\(749\) −25.0518 13.6064i −0.915372 0.497168i
\(750\) −6.12058 46.8430i −0.223492 1.71046i
\(751\) −10.8814 + 18.8472i −0.397069 + 0.687744i −0.993363 0.115022i \(-0.963306\pi\)
0.596294 + 0.802766i \(0.296639\pi\)
\(752\) −2.78879 + 10.4079i −0.101697 + 0.379537i
\(753\) 0.437617 7.35664i 0.0159477 0.268091i
\(754\) 21.1686 + 12.2217i 0.770915 + 0.445088i
\(755\) −39.0754 + 21.3189i −1.42210 + 0.775873i
\(756\) −49.7319 21.8522i −1.80873 0.794756i
\(757\) −20.4109 + 20.4109i −0.741847 + 0.741847i −0.972933 0.231086i \(-0.925772\pi\)
0.231086 + 0.972933i \(0.425772\pi\)
\(758\) −13.9380 52.0174i −0.506252 1.88936i
\(759\) 10.4088 + 11.7255i 0.377816 + 0.425609i
\(760\) 0.959804 + 3.96246i 0.0348157 + 0.143734i
\(761\) −25.7320 14.8564i −0.932785