Properties

Label 105.2.x.a.2.12
Level 105
Weight 2
Character 105.2
Analytic conductor 0.838
Analytic rank 0
Dimension 48
CM no
Inner twists 8

Related objects

Downloads

Learn more about

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 2.12
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.631395 + 2.35640i) q^{2} +(-0.775426 + 1.54878i) q^{3} +(-3.42191 + 1.97564i) q^{4} +(1.90893 - 1.16447i) q^{5} +(-4.13914 - 0.849321i) q^{6} +(1.82148 - 1.91891i) q^{7} +(-3.36596 - 3.36596i) q^{8} +(-1.79743 - 2.40193i) q^{9} +O(q^{10})\) \(q+(0.631395 + 2.35640i) q^{2} +(-0.775426 + 1.54878i) q^{3} +(-3.42191 + 1.97564i) q^{4} +(1.90893 - 1.16447i) q^{5} +(-4.13914 - 0.849321i) q^{6} +(1.82148 - 1.91891i) q^{7} +(-3.36596 - 3.36596i) q^{8} +(-1.79743 - 2.40193i) q^{9} +(3.94925 + 3.76295i) q^{10} +(-3.08053 + 1.77855i) q^{11} +(-0.406393 - 6.83174i) 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} +(2.95633 + 0.792145i) q^{17} +(4.52501 - 5.75203i) q^{18} +(-0.331717 - 0.191517i) q^{19} +(-4.23159 + 7.75607i) q^{20} +(1.55955 + 4.30904i) q^{21} +(-6.13600 - 6.13600i) q^{22} +(-2.45814 + 0.658656i) q^{23} +(7.82318 - 2.60308i) q^{24} +(2.28800 - 4.44579i) q^{25} +(3.83669 + 2.21512i) q^{26} +(5.11382 - 0.921307i) q^{27} +(-2.44184 + 10.1649i) q^{28} -5.51741 q^{29} +(-8.89033 + 3.19863i) q^{30} +(0.323980 + 0.561149i) q^{31} +(-0.453646 - 0.121554i) q^{32} +(-0.365851 - 6.15019i) q^{33} +7.46644i q^{34} +(1.24254 - 5.78412i) q^{35} +(10.8960 + 4.66809i) q^{36} +(5.00473 - 1.34101i) q^{37} +(0.241846 - 0.902580i) q^{38} +(0.993079 + 2.98456i) q^{39} +(-10.3449 - 2.50579i) q^{40} -10.1075i q^{41} +(-9.16912 + 6.39563i) q^{42} +(-0.335236 + 0.335236i) q^{43} +(7.02753 - 12.1720i) q^{44} +(-6.22814 - 2.49204i) q^{45} +(-3.10411 - 5.37648i) q^{46} +(0.751687 + 2.80533i) q^{47} +(3.53778 + 5.36445i) q^{48} +(-0.364449 - 6.99051i) q^{49} +(11.9207 + 2.58438i) q^{50} +(-3.51927 + 3.96445i) q^{51} +(-1.85718 + 6.93111i) q^{52} +(-0.815217 + 3.04243i) q^{53} +(5.39981 + 11.4685i) q^{54} +(-3.80944 + 6.98232i) q^{55} +(-12.5900 + 0.327966i) q^{56} +(0.553839 - 0.365249i) q^{57} +(-3.48367 - 13.0012i) q^{58} +(-3.81595 - 6.60942i) q^{59} +(-8.73116 - 12.5680i) q^{60} +(-5.45977 + 9.45659i) q^{61} +(-1.11773 + 1.11773i) q^{62} +(-7.88306 - 0.925939i) q^{63} -8.56580i q^{64} +(0.955966 - 3.94662i) q^{65} +(14.2613 - 4.74529i) q^{66} +(-3.31987 + 12.3899i) q^{67} +(-11.6813 + 3.12999i) q^{68} +(0.885991 - 4.31785i) q^{69} +(14.4142 - 0.724152i) q^{70} +3.06673i q^{71} +(-2.03471 + 14.1349i) q^{72} +(3.17113 + 0.849702i) q^{73} +(6.31993 + 10.9464i) q^{74} +(5.11138 + 6.99098i) q^{75} +1.51347 q^{76} +(-2.19824 + 9.15085i) q^{77} +(-6.40579 + 4.22453i) q^{78} +(3.21262 + 1.85480i) q^{79} +(-0.200348 - 8.29348i) q^{80} +(-2.53849 + 8.63459i) q^{81} +(23.8172 - 6.38180i) q^{82} +(0.973978 + 0.973978i) q^{83} +(-13.8497 - 11.6640i) q^{84} +(6.56584 - 1.93042i) q^{85} +(-1.00162 - 0.578284i) q^{86} +(4.27834 - 8.54525i) q^{87} +(16.3555 + 4.38244i) 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} +(-1.12032 + 0.0666433i) q^{93} +(-6.13587 + 3.54255i) q^{94} +(-0.856240 + 0.0206844i) q^{95} +(0.540030 - 0.608342i) q^{96} +(-10.3438 - 10.3438i) q^{97} +(16.2423 - 5.27256i) 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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.631395 + 2.35640i 0.446464 + 1.66623i 0.712042 + 0.702137i \(0.247770\pi\)
−0.265578 + 0.964089i \(0.585563\pi\)
\(3\) −0.775426 + 1.54878i −0.447692 + 0.894188i
\(4\) −3.42191 + 1.97564i −1.71095 + 0.987819i
\(5\) 1.90893 1.16447i 0.853698 0.520769i
\(6\) −4.13914 0.849321i −1.68980 0.346734i
\(7\) 1.82148 1.91891i 0.688453 0.725281i
\(8\) −3.36596 3.36596i −1.19005 1.19005i
\(9\) −1.79743 2.40193i −0.599143 0.800642i
\(10\) 3.94925 + 3.76295i 1.24886 + 1.18995i
\(11\) −3.08053 + 1.77855i −0.928816 + 0.536252i −0.886437 0.462850i \(-0.846827\pi\)
−0.0423788 + 0.999102i \(0.513494\pi\)
\(12\) −0.406393 6.83174i −0.117315 1.97215i
\(13\) 1.28412 1.28412i 0.356151 0.356151i −0.506241 0.862392i \(-0.668965\pi\)
0.862392 + 0.506241i \(0.168965\pi\)
\(14\) 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
\(17\) 2.95633 + 0.792145i 0.717015 + 0.192123i 0.598839 0.800869i \(-0.295629\pi\)
0.118175 + 0.992993i \(0.462296\pi\)
\(18\) 4.52501 5.75203i 1.06655 1.35577i
\(19\) −0.331717 0.191517i −0.0761011 0.0439370i 0.461467 0.887158i \(-0.347323\pi\)
−0.537568 + 0.843221i \(0.680657\pi\)
\(20\) −4.23159 + 7.75607i −0.946211 + 1.73431i
\(21\) 1.55955 + 4.30904i 0.340322 + 0.940309i
\(22\) −6.13600 6.13600i −1.30820 1.30820i
\(23\) −2.45814 + 0.658656i −0.512557 + 0.137339i −0.505822 0.862638i \(-0.668811\pi\)
−0.00673550 + 0.999977i \(0.502144\pi\)
\(24\) 7.82318 2.60308i 1.59690 0.531351i
\(25\) 2.28800 4.44579i 0.457600 0.889158i
\(26\) 3.83669 + 2.21512i 0.752437 + 0.434420i
\(27\) 5.11382 0.921307i 0.984156 0.177306i
\(28\) −2.44184 + 10.1649i −0.461465 + 1.92099i
\(29\) −5.51741 −1.02456 −0.512279 0.858819i \(-0.671199\pi\)
−0.512279 + 0.858819i \(0.671199\pi\)
\(30\) −8.89033 + 3.19863i −1.62314 + 0.583988i
\(31\) 0.323980 + 0.561149i 0.0581885 + 0.100785i 0.893652 0.448760i \(-0.148134\pi\)
−0.835464 + 0.549546i \(0.814801\pi\)
\(32\) −0.453646 0.121554i −0.0801941 0.0214880i
\(33\) −0.365851 6.15019i −0.0636864 1.07061i
\(34\) 7.46644i 1.28048i
\(35\) 1.24254 5.78412i 0.210027 0.977696i
\(36\) 10.8960 + 4.66809i 1.81600 + 0.778015i
\(37\) 5.00473 1.34101i 0.822772 0.220461i 0.177214 0.984172i \(-0.443291\pi\)
0.645558 + 0.763711i \(0.276625\pi\)
\(38\) 0.241846 0.902580i 0.0392325 0.146418i
\(39\) 0.993079 + 2.98456i 0.159020 + 0.477912i
\(40\) −10.3449 2.50579i −1.63568 0.396201i
\(41\) 10.1075i 1.57852i −0.614060 0.789259i \(-0.710465\pi\)
0.614060 0.789259i \(-0.289535\pi\)
\(42\) −9.16912 + 6.39563i −1.41483 + 0.986867i
\(43\) −0.335236 + 0.335236i −0.0511231 + 0.0511231i −0.732206 0.681083i \(-0.761509\pi\)
0.681083 + 0.732206i \(0.261509\pi\)
\(44\) 7.02753 12.1720i 1.05944 1.83500i
\(45\) −6.22814 2.49204i −0.928437 0.371491i
\(46\) −3.10411 5.37648i −0.457677 0.792719i
\(47\) 0.751687 + 2.80533i 0.109645 + 0.409200i 0.998831 0.0483463i \(-0.0153951\pi\)
−0.889186 + 0.457546i \(0.848728\pi\)
\(48\) 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
\(51\) −3.51927 + 3.96445i −0.492796 + 0.555133i
\(52\) −1.85718 + 6.93111i −0.257545 + 0.961171i
\(53\) −0.815217 + 3.04243i −0.111979 + 0.417910i −0.999043 0.0437355i \(-0.986074\pi\)
0.887065 + 0.461645i \(0.152741\pi\)
\(54\) 5.39981 + 11.4685i 0.734821 + 1.56067i
\(55\) −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
\(58\) −3.48367 13.0012i −0.457428 1.70714i
\(59\) −3.81595 6.60942i −0.496795 0.860474i 0.503198 0.864171i \(-0.332156\pi\)
−0.999993 + 0.00369723i \(0.998823\pi\)
\(60\) −8.73116 12.5680i −1.12719 1.62253i
\(61\) −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
\(63\) −7.88306 0.925939i −0.993172 0.116657i
\(64\) 8.56580i 1.07072i
\(65\) 0.955966 3.94662i 0.118573 0.489518i
\(66\) 14.2613 4.74529i 1.75545 0.584105i
\(67\) −3.31987 + 12.3899i −0.405586 + 1.51367i 0.397386 + 0.917652i \(0.369918\pi\)
−0.802972 + 0.596017i \(0.796749\pi\)
\(68\) −11.6813 + 3.12999i −1.41656 + 0.379567i
\(69\) 0.885991 4.31785i 0.106661 0.519808i
\(70\) 14.4142 0.724152i 1.72283 0.0865527i
\(71\) 3.06673i 0.363954i 0.983303 + 0.181977i \(0.0582497\pi\)
−0.983303 + 0.181977i \(0.941750\pi\)
\(72\) −2.03471 + 14.1349i −0.239793 + 1.66581i
\(73\) 3.17113 + 0.849702i 0.371153 + 0.0994501i 0.439574 0.898206i \(-0.355129\pi\)
−0.0684210 + 0.997657i \(0.521796\pi\)
\(74\) 6.31993 + 10.9464i 0.734676 + 1.27250i
\(75\) 5.11138 + 6.99098i 0.590211 + 0.807249i
\(76\) 1.51347 0.173607
\(77\) −2.19824 + 9.15085i −0.250513 + 1.04284i
\(78\) −6.40579 + 4.22453i −0.725313 + 0.478334i
\(79\) 3.21262 + 1.85480i 0.361448 + 0.208682i 0.669716 0.742618i \(-0.266416\pi\)
−0.308268 + 0.951300i \(0.599749\pi\)
\(80\) −0.200348 8.29348i −0.0223996 0.927239i
\(81\) −2.53849 + 8.63459i −0.282054 + 0.959398i
\(82\) 23.8172 6.38180i 2.63017 0.704752i
\(83\) 0.973978 + 0.973978i 0.106908 + 0.106908i 0.758537 0.651629i \(-0.225914\pi\)
−0.651629 + 0.758537i \(0.725914\pi\)
\(84\) −13.8497 11.6640i −1.51113 1.27265i
\(85\) 6.56584 1.93042i 0.712166 0.209384i
\(86\) −1.00162 0.578284i −0.108007 0.0623580i
\(87\) 4.27834 8.54525i 0.458686 0.916147i
\(88\) 16.3555 + 4.38244i 1.74350 + 0.467169i
\(89\) −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
\(93\) −1.12032 + 0.0666433i −0.116172 + 0.00691059i
\(94\) −6.13587 + 3.54255i −0.632867 + 0.365386i
\(95\) −0.856240 + 0.0206844i −0.0878483 + 0.00212218i
\(96\) 0.540030 0.608342i 0.0551165 0.0620886i
\(97\) −10.3438 10.3438i −1.05025 1.05025i −0.998669 0.0515850i \(-0.983573\pi\)
−0.0515850 0.998669i \(-0.516427\pi\)
\(98\) 16.2423 5.27256i 1.64072 0.532609i
\(99\) 9.80898 + 4.20240i 0.985839 + 0.422357i
\(100\) 0.953965 + 19.7333i 0.0953965 + 1.97333i
\(101\) −0.158115 + 0.0912877i −0.0157330 + 0.00908347i −0.507846 0.861448i \(-0.669558\pi\)
0.492113 + 0.870531i \(0.336225\pi\)
\(102\) −11.5639 5.78967i −1.14499 0.573263i
\(103\) −1.25761 4.69347i −0.123916 0.462461i 0.875883 0.482524i \(-0.160280\pi\)
−0.999799 + 0.0200632i \(0.993613\pi\)
\(104\) −8.64461 −0.847674
\(105\) 7.99483 + 6.40958i 0.780216 + 0.625511i
\(106\) −7.68390 −0.746327
\(107\) −2.78881 10.4080i −0.269605 1.00618i −0.959371 0.282146i \(-0.908954\pi\)
0.689767 0.724032i \(-0.257713\pi\)
\(108\) −15.6789 + 13.2557i −1.50870 + 1.27553i
\(109\) −8.84242 + 5.10517i −0.846950 + 0.488987i −0.859621 0.510933i \(-0.829300\pi\)
0.0126703 + 0.999920i \(0.495967\pi\)
\(110\) −18.8584 4.56795i −1.79808 0.435537i
\(111\) −1.80386 + 8.79107i −0.171215 + 0.834412i
\(112\) −2.78657 9.41200i −0.263306 0.889350i
\(113\) 7.98156 + 7.98156i 0.750842 + 0.750842i 0.974636 0.223794i \(-0.0718444\pi\)
−0.223794 + 0.974636i \(0.571844\pi\)
\(114\) 1.21036 + 1.07445i 0.113361 + 0.100631i
\(115\) −3.92542 + 4.11977i −0.366047 + 0.384170i
\(116\) 18.8801 10.9004i 1.75297 1.01208i
\(117\) −5.39248 0.776245i −0.498535 0.0717639i
\(118\) 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
\(122\) −25.7308 6.89454i −2.32955 0.624202i
\(123\) 15.6542 + 7.83758i 1.41149 + 0.706691i
\(124\) −2.21726 1.28013i −0.199116 0.114959i
\(125\) −0.809394 11.1510i −0.0723944 0.997376i
\(126\) −2.79545 19.1603i −0.249038 1.70693i
\(127\) 2.79324 + 2.79324i 0.247860 + 0.247860i 0.820092 0.572232i \(-0.193922\pi\)
−0.572232 + 0.820092i \(0.693922\pi\)
\(128\) 19.2771 5.16530i 1.70387 0.456552i
\(129\) −0.259256 0.779158i −0.0228262 0.0686010i
\(130\) 9.90341 0.239240i 0.868586 0.0209827i
\(131\) 7.64504 + 4.41386i 0.667950 + 0.385641i 0.795299 0.606217i \(-0.207314\pi\)
−0.127349 + 0.991858i \(0.540647\pi\)
\(132\) 13.4025 + 20.3226i 1.16654 + 1.76886i
\(133\) −0.971718 + 0.287692i −0.0842587 + 0.0249461i
\(134\) −31.2917 −2.70319
\(135\) 8.68907 7.71363i 0.747836 0.663883i
\(136\) −7.28455 12.6172i −0.624645 1.08192i
\(137\) 11.5506 + 3.09498i 0.986836 + 0.264422i 0.715921 0.698181i \(-0.246007\pi\)
0.270915 + 0.962603i \(0.412674\pi\)
\(138\) 10.7340 0.638522i 0.913738 0.0543546i
\(139\) 8.03342i 0.681386i 0.940175 + 0.340693i \(0.110662\pi\)
−0.940175 + 0.340693i \(0.889338\pi\)
\(140\) 7.17549 + 22.2475i 0.606440 + 1.88026i
\(141\) −4.92772 1.01113i −0.414989 0.0851526i
\(142\) −7.22644 + 1.93632i −0.606430 + 0.162492i
\(143\) −1.67191 + 6.23965i −0.139812 + 0.521786i
\(144\) −11.0516 + 1.31950i −0.920968 + 0.109959i
\(145\) −10.5323 + 6.42489i −0.874663 + 0.533558i
\(146\) 8.00895i 0.662826i
\(147\) 11.1093 + 4.85617i 0.916284 + 0.400530i
\(148\) −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 \(0.906952\pi\)
\(150\) −13.2462 + 16.4585i −1.08155 + 1.34383i
\(151\) −9.95334 17.2397i −0.809991 1.40295i −0.912869 0.408252i \(-0.866139\pi\)
0.102878 0.994694i \(-0.467195\pi\)
\(152\) 0.471908 + 1.76118i 0.0382768 + 0.142851i
\(153\) −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
\(156\) −9.29464 8.25092i −0.744167 0.660603i
\(157\) 2.67538 9.98465i 0.213519 0.796862i −0.773164 0.634206i \(-0.781327\pi\)
0.986683 0.162656i \(-0.0520062\pi\)
\(158\) −2.34223 + 8.74132i −0.186338 + 0.695422i
\(159\) −4.07991 3.62177i −0.323558 0.287225i
\(160\) −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
\(163\) 5.17687 + 19.3203i 0.405484 + 1.51329i 0.803162 + 0.595761i \(0.203149\pi\)
−0.397678 + 0.917525i \(0.630184\pi\)
\(164\) 19.9687 + 34.5868i 1.55929 + 2.70077i
\(165\) −7.86013 11.3142i −0.611910 0.880813i
\(166\) −1.68012 + 2.91005i −0.130402 + 0.225863i
\(167\) −6.08875 + 6.08875i −0.471162 + 0.471162i −0.902290 0.431129i \(-0.858116\pi\)
0.431129 + 0.902290i \(0.358116\pi\)
\(168\) 9.25466 19.7534i 0.714013 1.52401i
\(169\) 9.70206i 0.746312i
\(170\) 8.69448 + 14.2529i 0.666836 + 1.09315i
\(171\) 0.136229 + 1.14100i 0.0104177 + 0.0872542i
\(172\) 0.484842 1.80945i 0.0369688 0.137970i
\(173\) 1.62388 0.435117i 0.123461 0.0330813i −0.196559 0.980492i \(-0.562977\pi\)
0.320021 + 0.947411i \(0.396310\pi\)
\(174\) 22.8373 + 4.68605i 1.73129 + 0.355249i
\(175\) −4.36355 12.4884i −0.329854 0.944032i
\(176\) 13.1969i 0.994758i
\(177\) 13.1955 0.784949i 0.991836 0.0590004i
\(178\) −7.16190 1.91903i −0.536807 0.143837i
\(179\) −10.5758 18.3178i −0.790470 1.36913i −0.925676 0.378317i \(-0.876503\pi\)
0.135206 0.990818i \(-0.456830\pi\)
\(180\) 26.2355 3.77705i 1.95548 0.281524i
\(181\) 22.4232 1.66671 0.833353 0.552740i \(-0.186418\pi\)
0.833353 + 0.552740i \(0.186418\pi\)
\(182\) 11.2391 3.32750i 0.833094 0.246650i
\(183\) −10.4125 15.7889i −0.769716 1.16715i
\(184\) 10.4910 + 6.05699i 0.773407 + 0.446527i
\(185\) 7.99208 8.38778i 0.587590 0.616682i
\(186\) −0.864402 2.59784i −0.0633810 0.190483i
\(187\) −10.5159 + 2.81773i −0.769001 + 0.206053i
\(188\) −8.11453 8.11453i −0.591813 0.591813i
\(189\) 7.54680 11.4911i 0.548949 0.835856i
\(190\) −0.589366 2.00458i −0.0427571 0.145428i
\(191\) −16.3692 9.45078i −1.18444 0.683834i −0.227399 0.973802i \(-0.573022\pi\)
−0.957037 + 0.289967i \(0.906356\pi\)
\(192\) 13.2665 + 6.64214i 0.957429 + 0.479355i
\(193\) −14.8722 3.98500i −1.07053 0.286847i −0.319817 0.947479i \(-0.603621\pi\)
−0.750709 + 0.660633i \(0.770288\pi\)
\(194\) 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 −0.686063 0.727542i \(-0.740663\pi\)
0.727542 + 0.686063i \(0.240663\pi\)
\(198\) −3.70918 + 25.7672i −0.263600 + 1.83120i
\(199\) 4.00381 2.31160i 0.283823 0.163865i −0.351330 0.936252i \(-0.614270\pi\)
0.635153 + 0.772387i \(0.280937\pi\)
\(200\) −22.6657 + 7.26305i −1.60271 + 0.513575i
\(201\) −16.6149 14.7492i −1.17193 1.04033i
\(202\) −0.314943 0.314943i −0.0221593 0.0221593i
\(203\) −10.0498 + 10.5874i −0.705360 + 0.743092i
\(204\) 4.21030 20.5188i 0.294780 1.43660i
\(205\) −11.7699 19.2944i −0.822043 1.34758i
\(206\) 10.2656 5.92686i 0.715240 0.412944i
\(207\) 6.00037 + 4.72038i 0.417055 + 0.328089i
\(208\) −1.74380 6.50794i −0.120911 0.451244i
\(209\) 1.36249 0.0942452
\(210\) −10.0556 + 22.8860i −0.693904 + 1.57928i
\(211\) 22.8142 1.57060 0.785298 0.619118i \(-0.212510\pi\)
0.785298 + 0.619118i \(0.212510\pi\)
\(212\) −3.22115 12.0215i −0.221229 0.825639i
\(213\) −4.74969 2.37802i −0.325443 0.162939i
\(214\) 22.7645 13.1431i 1.55615 0.898444i
\(215\) −0.249567 + 1.03032i −0.0170203 + 0.0702670i
\(216\) −20.3140 14.1118i −1.38219 0.960190i
\(217\) 1.66692 + 0.400432i 0.113158 + 0.0271831i
\(218\) −17.6129 17.6129i −1.19290 1.19290i
\(219\) −3.77498 + 4.25250i −0.255089 + 0.287357i
\(220\) −0.758996 31.4189i −0.0511715 2.11826i
\(221\) 4.81349 2.77907i 0.323791 0.186941i
\(222\) −21.8542 + 1.30002i −1.46676 + 0.0872517i
\(223\) −9.51124 + 9.51124i −0.636920 + 0.636920i −0.949794 0.312875i \(-0.898708\pi\)
0.312875 + 0.949794i \(0.398708\pi\)
\(224\) −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
\(227\) −2.13428 0.571878i −0.141657 0.0379569i 0.187294 0.982304i \(-0.440028\pi\)
−0.328951 + 0.944347i \(0.606695\pi\)
\(228\) −1.17359 + 2.34403i −0.0777226 + 0.155237i
\(229\) 22.0869 + 12.7519i 1.45954 + 0.842668i 0.998989 0.0449629i \(-0.0143170\pi\)
0.460555 + 0.887631i \(0.347650\pi\)
\(230\) −12.1863 6.64865i −0.803541 0.438399i
\(231\) −12.4681 10.5004i −0.820339 0.690875i
\(232\) 18.5714 + 18.5714i 1.21927 + 1.21927i
\(233\) 24.9289 6.67968i 1.63315 0.437601i 0.678322 0.734765i \(-0.262708\pi\)
0.954826 + 0.297164i \(0.0960409\pi\)
\(234\) −1.57565 13.1970i −0.103003 0.862712i
\(235\) 4.70165 + 4.47985i 0.306702 + 0.292233i
\(236\) 26.1157 + 15.0779i 1.69998 + 0.981487i
\(237\) −5.36383 + 3.53737i −0.348418 + 0.229777i
\(238\) 14.3274 + 13.5999i 0.928711 + 0.881554i
\(239\) 5.35194 0.346188 0.173094 0.984905i \(-0.444624\pi\)
0.173094 + 0.984905i \(0.444624\pi\)
\(240\) 13.0001 + 6.12068i 0.839154 + 0.395088i
\(241\) −4.02361 6.96910i −0.259184 0.448919i 0.706840 0.707374i \(-0.250120\pi\)
−0.966023 + 0.258454i \(0.916787\pi\)
\(242\) 3.89492 + 1.04364i 0.250375 + 0.0670877i
\(243\) −11.4047 10.6270i −0.731609 0.681725i
\(244\) 43.1461i 2.76215i
\(245\) −8.83597 12.9200i −0.564510 0.825426i
\(246\) −8.58447 + 41.8362i −0.547326 + 2.66738i
\(247\) −0.671896 + 0.180034i −0.0427517 + 0.0114553i
\(248\) 0.798304 2.97931i 0.0506923 0.189186i
\(249\) −2.26372 + 0.753229i −0.143458 + 0.0477339i
\(250\) 25.7652 8.94795i 1.62953 0.565918i
\(251\) 4.25486i 0.268565i 0.990943 + 0.134282i \(0.0428729\pi\)
−0.990943 + 0.134282i \(0.957127\pi\)
\(252\) 28.8044 12.4056i 1.81451 0.781480i
\(253\) 6.40093 6.40093i 0.402423 0.402423i
\(254\) −4.81835 + 8.34562i −0.302330 + 0.523651i
\(255\) −2.10153 + 11.6659i −0.131603 + 0.730549i
\(256\) 15.7772 + 27.3269i 0.986075 + 1.70793i
\(257\) 0.937470 + 3.49869i 0.0584778 + 0.218242i 0.988981 0.148041i \(-0.0472968\pi\)
−0.930503 + 0.366283i \(0.880630\pi\)
\(258\) 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
\(261\) 9.91716 + 13.2524i 0.613857 + 0.820304i
\(262\) −5.57379 + 20.8017i −0.344350 + 1.28513i
\(263\) 1.99500 7.44545i 0.123017 0.459106i −0.876744 0.480957i \(-0.840289\pi\)
0.999761 + 0.0218510i \(0.00695594\pi\)
\(264\) −19.4699 + 21.9328i −1.19829 + 1.34987i
\(265\) 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
\(268\) −13.1177 48.9560i −0.801292 2.99046i
\(269\) 9.75238 + 16.8916i 0.594613 + 1.02990i 0.993601 + 0.112944i \(0.0360282\pi\)
−0.398988 + 0.916956i \(0.630638\pi\)
\(270\) 23.6626 + 15.6046i 1.44006 + 0.949664i
\(271\) 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
\(273\) 7.53598 + 3.53068i 0.456098 + 0.213686i
\(274\) 29.1720i 1.76235i
\(275\) 0.858796 + 17.7647i 0.0517874 + 1.07125i
\(276\) 5.49874 + 16.5257i 0.330985 + 0.994729i
\(277\) −2.97277 + 11.0945i −0.178616 + 0.666605i 0.817291 + 0.576225i \(0.195475\pi\)
−0.995907 + 0.0903802i \(0.971192\pi\)
\(278\) −18.9299 + 5.07226i −1.13534 + 0.304214i
\(279\) 0.765508 1.78680i 0.0458298 0.106973i
\(280\) −23.6515 + 15.2868i −1.41345 + 0.913561i
\(281\) 1.16755i 0.0696500i 0.999393 + 0.0348250i \(0.0110874\pi\)
−0.999393 + 0.0348250i \(0.988913\pi\)
\(282\) −0.728709 12.2501i −0.0433940 0.729482i
\(283\) 23.5828 + 6.31899i 1.40185 + 0.375625i 0.879009 0.476805i \(-0.158205\pi\)
0.522841 + 0.852430i \(0.324872\pi\)
\(284\) −6.05875 10.4941i −0.359521 0.622708i
\(285\) 0.631914 1.34216i 0.0374314 0.0795030i
\(286\) −15.7587 −0.931834
\(287\) −19.3953 18.4105i −1.14487 1.08674i
\(288\) 0.523434 + 1.30811i 0.0308436 + 0.0770811i
\(289\) −6.61006 3.81632i −0.388827 0.224489i
\(290\) −21.7897 20.7617i −1.27953 1.21917i
\(291\) 24.0411 7.99941i 1.40931 0.468934i
\(292\) −12.5300 + 3.35741i −0.733264 + 0.196478i
\(293\) 17.1201 + 17.1201i 1.00016 + 1.00016i 1.00000 0.000164506i \(5.23640e-5\pi\)
0.000164506 1.00000i \(0.499948\pi\)
\(294\) −4.42868 + 29.2442i −0.258286 + 1.70556i
\(295\) −14.9809 8.17332i −0.872220 0.475869i
\(296\) −21.3595 12.3319i −1.24150 0.716779i
\(297\) −14.1147 + 11.9333i −0.819019 + 0.692440i
\(298\) −41.9000 11.2271i −2.42720 0.650367i
\(299\) −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
\(303\) −0.0187781 0.315672i −0.00107877 0.0181349i
\(304\) −1.23068 + 0.710535i −0.0705845 + 0.0407520i
\(305\) 0.589672 + 24.4097i 0.0337645 + 1.39769i
\(306\) 17.9338 13.4204i 1.02521 0.767194i
\(307\) −9.35548 9.35548i −0.533946 0.533946i 0.387799 0.921744i \(-0.373236\pi\)
−0.921744 + 0.387799i \(0.873236\pi\)
\(308\) −10.5566 35.6563i −0.601518 2.03171i
\(309\) 8.24432 + 1.69167i 0.469003 + 0.0962359i
\(310\) −0.832098 + 3.43524i −0.0472600 + 0.195109i
\(311\) 2.36072 1.36296i 0.133864 0.0772864i −0.431572 0.902078i \(-0.642041\pi\)
0.565436 + 0.824792i \(0.308708\pi\)
\(312\) 6.70325 13.3886i 0.379497 0.757979i
\(313\) 6.70726 + 25.0318i 0.379117 + 1.41488i 0.847235 + 0.531218i \(0.178265\pi\)
−0.468118 + 0.883666i \(0.655068\pi\)
\(314\) 25.2171 1.42308
\(315\) −16.1264 + 7.41208i −0.908620 + 0.417623i
\(316\) −14.6577 −0.824560
\(317\) 1.22032 + 4.55428i 0.0685398 + 0.255794i 0.991691 0.128643i \(-0.0410622\pi\)
−0.923151 + 0.384437i \(0.874396\pi\)
\(318\) 5.95830 11.9007i 0.334125 0.667356i
\(319\) 16.9966 9.81297i 0.951625 0.549421i
\(320\) −9.97465 16.3515i −0.557600 0.914075i
\(321\) 18.2822 + 3.75137i 1.02041 + 0.209381i
\(322\) −15.9711 3.83661i −0.890033 0.213806i
\(323\) −0.828954 0.828954i −0.0461243 0.0461243i
\(324\) −8.37235 34.5619i −0.465130 1.92010i
\(325\) −2.77087 8.64701i −0.153700 0.479650i
\(326\) −42.2578 + 24.3975i −2.34044 + 1.35125i
\(327\) −1.05014 17.6536i −0.0580731 0.976248i
\(328\) −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 \(0.256308\pi\)
\(332\) −5.25709 1.40863i −0.288520 0.0773088i
\(333\) −12.2167 9.61061i −0.669469 0.526658i
\(334\) −18.1919 10.5031i −0.995419 0.574705i
\(335\) 8.09036 + 27.5173i 0.442023 + 1.50343i
\(336\) 16.7379 + 2.98253i 0.913126 + 0.162710i
\(337\) 8.78763 + 8.78763i 0.478692 + 0.478692i 0.904713 0.426021i \(-0.140085\pi\)
−0.426021 + 0.904713i \(0.640085\pi\)
\(338\) −22.8619 + 6.12584i −1.24353 + 0.333202i
\(339\) −18.5508 + 6.17256i −1.00754 + 0.335248i
\(340\) −18.6539 + 19.5775i −1.01165 + 1.06174i
\(341\) −1.99606 1.15243i −0.108093 0.0624074i
\(342\) −2.60263 + 1.04143i −0.140734 + 0.0563141i
\(343\) −14.0780 12.0337i −0.760141 0.649758i
\(344\) 2.25679 0.121678
\(345\) −3.33674 9.27417i −0.179644 0.499305i
\(346\) 2.05062 + 3.55177i 0.110242 + 0.190945i
\(347\) 10.6721 + 2.85959i 0.572911 + 0.153511i 0.533631 0.845717i \(-0.320827\pi\)
0.0392795 + 0.999228i \(0.487494\pi\)
\(348\) 2.24224 + 37.6935i 0.120196 + 2.02058i
\(349\) 6.84738i 0.366532i 0.983063 + 0.183266i \(0.0586670\pi\)
−0.983063 + 0.183266i \(0.941333\pi\)
\(350\) 26.6725 18.1674i 1.42570 0.971087i
\(351\) 5.38370 7.74984i 0.287361 0.413656i
\(352\) 1.61366 0.432380i 0.0860085 0.0230459i
\(353\) 5.76838 21.5279i 0.307020 1.14581i −0.624172 0.781287i \(-0.714564\pi\)
0.931192 0.364528i \(-0.118770\pi\)
\(354\) 10.1812 + 30.5983i 0.541127 + 1.62628i
\(355\) 3.57113 + 5.85416i 0.189536 + 0.310707i
\(356\) 12.0093i 0.636491i
\(357\) 1.19716 + 13.9743i 0.0633603 + 0.739599i
\(358\) 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 \(-0.0830495\pi\)
\(360\) 12.5756 + 29.3518i 0.662792 + 1.54697i
\(361\) −9.42664 16.3274i −0.496139 0.859338i
\(362\) 14.1579 + 52.8381i 0.744124 + 2.77711i
\(363\) 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
\(366\) 30.6304 34.5051i 1.60108 1.80361i
\(367\) 4.35135 16.2394i 0.227138 0.847692i −0.754398 0.656417i \(-0.772071\pi\)
0.981536 0.191275i \(-0.0612622\pi\)
\(368\) −2.44364 + 9.11979i −0.127384 + 0.475402i
\(369\) −24.2773 + 18.1674i −1.26383 + 0.945759i
\(370\) 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
\(373\) 2.71527 + 10.1335i 0.140591 + 0.524694i 0.999912 + 0.0132570i \(0.00421995\pi\)
−0.859321 + 0.511437i \(0.829113\pi\)
\(374\) −13.2794 23.0006i −0.686662 1.18933i
\(375\) 17.8981 + 7.39320i 0.924252 + 0.381783i
\(376\) 6.91249 11.9728i 0.356485 0.617450i
\(377\) −7.08503 + 7.08503i −0.364898 + 0.364898i
\(378\) 31.8427 + 10.5278i 1.63781 + 0.541494i
\(379\) 22.0750i 1.13391i −0.823747 0.566957i \(-0.808120\pi\)
0.823747 0.566957i \(-0.191880\pi\)
\(380\) 2.88911 1.76240i 0.148208 0.0904092i
\(381\) −6.49206 + 2.16016i −0.332598 + 0.110668i
\(382\) 11.9344 44.5396i 0.610615 2.27885i
\(383\) −19.4248 + 5.20486i −0.992561 + 0.265956i −0.718326 0.695707i \(-0.755091\pi\)
−0.274235 + 0.961663i \(0.588425\pi\)
\(384\) −6.94809 + 33.8613i −0.354568 + 1.72798i
\(385\) 6.45965 + 20.0281i 0.329214 + 1.02073i
\(386\) 37.5610i 1.91181i
\(387\) 1.40778 + 0.202649i 0.0715613 + 0.0103012i
\(388\) 55.8311 + 14.9599i 2.83440 + 0.759474i
\(389\) −0.689060 1.19349i −0.0349368 0.0605122i 0.848028 0.529951i \(-0.177790\pi\)
−0.882965 + 0.469439i \(0.844456\pi\)
\(390\) −7.30883 + 15.5237i −0.370097 + 0.786073i
\(391\) −7.78881 −0.393897
\(392\) −22.3031 + 24.7565i −1.12647 + 1.25039i
\(393\) −12.7643 + 8.41785i −0.643872 + 0.424624i
\(394\) 1.73943 + 1.00426i 0.0876310 + 0.0505938i
\(395\) 8.29252 0.200325i 0.417242 0.0100794i
\(396\) −41.8678 + 4.99879i −2.10394 + 0.251199i
\(397\) −21.5175 + 5.76560i −1.07993 + 0.289367i −0.754568 0.656222i \(-0.772154\pi\)
−0.325365 + 0.945589i \(0.605487\pi\)
\(398\) 7.97504 + 7.97504i 0.399753 + 0.399753i
\(399\) 0.307924 1.72806i 0.0154155 0.0865112i
\(400\) −10.0400 15.5983i −0.502000 0.779917i
\(401\) 7.51392 + 4.33816i 0.375227 + 0.216638i 0.675740 0.737140i \(-0.263824\pi\)
−0.300512 + 0.953778i \(0.597158\pi\)
\(402\) 24.2644 48.4640i 1.21020 2.41716i
\(403\) 1.13661 + 0.304555i 0.0566188 + 0.0151710i
\(404\) 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
\(408\) 25.1899 1.49845i 1.24709 0.0741842i
\(409\) −6.78090 + 3.91495i −0.335294 + 0.193582i −0.658189 0.752853i \(-0.728677\pi\)
0.322895 + 0.946435i \(0.395344\pi\)
\(410\) 38.0338 39.9169i 1.87836 1.97135i
\(411\) −13.7501 + 15.4894i −0.678242 + 0.764037i
\(412\) 13.5760 + 13.5760i 0.668842 + 0.668842i
\(413\) −19.6336 4.71643i −0.966105 0.232080i
\(414\) −7.33448 + 17.1197i −0.360470 + 0.841387i
\(415\) 2.99342 + 0.725079i 0.146941 + 0.0355927i
\(416\) −0.738628 + 0.426447i −0.0362142 + 0.0209083i
\(417\) −12.4420 6.22932i −0.609287 0.305051i
\(418\) 0.860268 + 3.21056i 0.0420771 + 0.157034i
\(419\) −17.2587 −0.843141 −0.421571 0.906796i \(-0.638521\pi\)
−0.421571 + 0.906796i \(0.638521\pi\)
\(420\) −40.0206 6.13807i −1.95280 0.299507i
\(421\) −30.2371 −1.47366 −0.736832 0.676076i \(-0.763679\pi\)
−0.736832 + 0.676076i \(0.763679\pi\)
\(422\) 14.4048 + 53.7594i 0.701214 + 2.61697i
\(423\) 5.38710 6.84789i 0.261930 0.332956i
\(424\) 12.9847 7.49671i 0.630592 0.364073i
\(425\) 10.2858 11.3308i 0.498934 0.549624i
\(426\) 2.60464 12.6936i 0.126195 0.615009i
\(427\) 8.20154 + 27.7018i 0.396900 + 1.34058i
\(428\) 30.1055 + 30.1055i 1.45520 + 1.45520i
\(429\) −8.36740 7.42780i −0.403982 0.358618i
\(430\) −2.58541 + 0.0624565i −0.124680 + 0.00301192i
\(431\) 17.6840 10.2099i 0.851811 0.491793i −0.00945079 0.999955i \(-0.503008\pi\)
0.861261 + 0.508162i \(0.169675\pi\)
\(432\) 6.52609 18.1397i 0.313987 0.872746i
\(433\) 14.4338 14.4338i 0.693646 0.693646i −0.269386 0.963032i \(-0.586821\pi\)
0.963032 + 0.269386i \(0.0868207\pi\)
\(434\) 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
\(437\) 0.941550 + 0.252288i 0.0450404 + 0.0120685i
\(438\) −12.4041 6.21035i −0.592690 0.296742i
\(439\) −12.5945 7.27146i −0.601105 0.347048i 0.168371 0.985724i \(-0.446149\pi\)
−0.769476 + 0.638676i \(0.779483\pi\)
\(440\) 36.3246 10.6798i 1.73171 0.509139i
\(441\) −16.1356 + 13.4403i −0.768362 + 0.640016i
\(442\) 9.58782 + 9.58782i 0.456046 + 0.456046i
\(443\) −9.91074 + 2.65557i −0.470873 + 0.126170i −0.486450 0.873709i \(-0.661708\pi\)
0.0155764 + 0.999879i \(0.495042\pi\)
\(444\) −11.1953 33.6460i −0.531307 1.59677i
\(445\) 0.164129 + 6.79419i 0.00778048 + 0.322076i
\(446\) −28.4176 16.4069i −1.34561 0.776890i
\(447\) −16.9558 25.7106i −0.801981 1.21607i
\(448\) −16.4370 15.6024i −0.776576 0.737144i
\(449\) −6.70137 −0.316257 −0.158129 0.987419i \(-0.550546\pi\)
−0.158129 + 0.987419i \(0.550546\pi\)
\(450\) −15.2191 33.2779i −0.717436 1.56873i
\(451\) 17.9766 + 31.1363i 0.846484 + 1.46615i
\(452\) −43.0808 11.5435i −2.02635 0.542959i
\(453\) 34.4185 2.04742i 1.61712 0.0961962i
\(454\) 5.39029i 0.252979i
\(455\) −5.83195 9.02309i −0.273406 0.423009i
\(456\) −3.09361 0.634787i −0.144872 0.0297266i
\(457\) 29.8916 8.00943i 1.39827 0.374665i 0.520547 0.853833i \(-0.325728\pi\)
0.877723 + 0.479168i \(0.159061\pi\)
\(458\) −16.1030 + 60.0971i −0.752442 + 2.80815i
\(459\) 15.8479 + 1.32721i 0.739719 + 0.0619487i
\(460\) 5.29324 21.8527i 0.246798 1.01889i
\(461\) 35.1427i 1.63676i −0.574680 0.818378i \(-0.694873\pi\)
0.574680 0.818378i \(-0.305127\pi\)
\(462\) 16.8708 36.0097i 0.784903 1.67532i
\(463\) −3.51567 + 3.51567i −0.163387 + 0.163387i −0.784065 0.620678i \(-0.786857\pi\)
0.620678 + 0.784065i \(0.286857\pi\)
\(464\) −10.2349 + 17.7274i −0.475143 + 0.822973i
\(465\) −2.06100 + 1.43180i −0.0955766 + 0.0663981i
\(466\) 31.4800 + 54.5250i 1.45828 + 2.52582i
\(467\) −8.03172 29.9748i −0.371664 1.38707i −0.858159 0.513385i \(-0.828391\pi\)
0.486495 0.873683i \(-0.338275\pi\)
\(468\) 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
\(471\) 13.3895 + 11.8859i 0.616954 + 0.547675i
\(472\) −9.40271 + 35.0914i −0.432795 + 1.61521i
\(473\) 0.436473 1.62894i 0.0200691 0.0748988i
\(474\) −11.7221 10.4058i −0.538416 0.477956i
\(475\) −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
\(478\) 3.37919 + 12.6113i 0.154560 + 0.576827i
\(479\) 7.30399 + 12.6509i 0.333728 + 0.578034i 0.983240 0.182318i \(-0.0583600\pi\)
−0.649512 + 0.760352i \(0.725027\pi\)
\(480\) 0.322478 1.79013i 0.0147190 0.0817079i
\(481\) 4.70466 8.14871i 0.214514 0.371549i
\(482\) 13.8815 13.8815i 0.632285 0.632285i
\(483\) −6.67177 9.56500i −0.303576 0.435223i
\(484\) 6.53111i 0.296869i
\(485\) −31.7906 7.70046i −1.44354 0.349660i
\(486\) 17.8407 33.5838i 0.809271 1.52339i
\(487\) 0.428446 1.59898i 0.0194148 0.0724568i −0.955539 0.294865i \(-0.904725\pi\)
0.974954 + 0.222409i \(0.0713919\pi\)
\(488\) 50.2079 13.4532i 2.27280 0.608996i
\(489\) −33.9372 6.96366i −1.53469 0.314908i
\(490\) 24.8656 28.9787i 1.12331 1.30912i
\(491\) 32.6849i 1.47505i 0.675321 + 0.737524i \(0.264005\pi\)
−0.675321 + 0.737524i \(0.735995\pi\)
\(492\) −69.0514 + 4.10760i −3.11308 + 0.185185i
\(493\) −16.3113 4.37059i −0.734623 0.196842i
\(494\) −0.848464 1.46958i −0.0381742 0.0661196i
\(495\) 23.6182 3.40024i 1.06156 0.152830i
\(496\) 2.40395 0.107941
\(497\) 5.88479 + 5.58598i 0.263969 + 0.250565i
\(498\) −3.20421 4.85865i −0.143584 0.217721i
\(499\) −17.4676 10.0849i −0.781956 0.451463i 0.0551669 0.998477i \(-0.482431\pi\)
−0.837123 + 0.547014i \(0.815764\pi\)
\(500\) 24.8000 + 36.5586i 1.10909 + 1.63495i
\(501\) −4.70875 14.1515i −0.210372 0.632243i
\(502\) −10.0262 + 2.68650i −0.447489 + 0.119904i
\(503\) −9.55454 9.55454i −0.426016 0.426016i 0.461253 0.887269i \(-0.347400\pi\)
−0.887269 + 0.461253i \(0.847400\pi\)
\(504\) 23.4174 + 29.6507i 1.04309 + 1.32075i
\(505\) −0.195528 + 0.358382i −0.00870086 + 0.0159478i
\(506\) 19.1247 + 11.0416i 0.850194 + 0.490860i
\(507\) −15.0263 7.52323i −0.667343 0.334118i
\(508\) −15.0766 4.03977i −0.668917 0.179236i
\(509\) 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
\(513\) −1.87279 0.673770i −0.0826856 0.0297477i
\(514\) −7.65238 + 4.41811i −0.337532 + 0.194874i
\(515\) −7.86611 7.49502i −0.346622 0.330270i
\(516\) 2.42648 + 2.15401i 0.106820 + 0.0948250i
\(517\) −7.30501 7.30501i −0.321274 0.321274i
\(518\) 32.5168 + 7.81128i 1.42871 + 0.343208i
\(519\) −0.585297 + 2.85243i −0.0256917 + 0.125208i
\(520\) −16.5019 + 10.0664i −0.723657 + 0.441442i
\(521\) −0.115369 + 0.0666082i −0.00505440 + 0.00291816i −0.502525 0.864563i \(-0.667596\pi\)
0.497471 + 0.867481i \(0.334262\pi\)
\(522\) −24.9663 + 31.7363i −1.09275 + 1.38906i
\(523\) −7.33082 27.3590i −0.320554 1.19633i −0.918706 0.394942i \(-0.870765\pi\)
0.598151 0.801383i \(-0.295902\pi\)
\(524\) −34.8808 −1.52377
\(525\) 22.7253 + 2.92563i 0.991815 + 0.127685i
\(526\) 18.8041 0.819897
\(527\) 0.513278 + 1.91558i 0.0223587 + 0.0834440i
\(528\) −20.4392 10.2333i −0.889500 0.445345i
\(529\) −14.3100 + 8.26186i −0.622173 + 0.359211i
\(530\) −14.6680 + 8.94771i −0.637137 + 0.388664i
\(531\) −9.01643 + 21.0456i −0.391280 + 0.913302i
\(532\) 2.75675 2.90422i 0.119520 0.125914i
\(533\) −12.9792 12.9792i −0.562192 0.562192i
\(534\) 8.52567 9.60414i 0.368942 0.415612i
\(535\) −17.4435 16.6206i −0.754147 0.718570i
\(536\) 52.8785 30.5294i 2.28400 1.31867i
\(537\) 36.5709 2.17546i 1.57815 0.0938779i
\(538\) −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 \(0.271539\pi\)
\(542\) 48.0173 + 12.8662i 2.06252 + 0.552650i
\(543\) −17.3876 + 34.7286i −0.746172 + 1.49035i
\(544\) −1.24484 0.718708i −0.0533720 0.0308143i
\(545\) −10.9347 + 20.0422i −0.468390 + 0.858513i
\(546\) −3.56150 + 19.9870i −0.152418 + 0.855366i
\(547\) −12.4068 12.4068i −0.530476 0.530476i 0.390238 0.920714i \(-0.372393\pi\)
−0.920714 + 0.390238i \(0.872393\pi\)
\(548\) −45.6397 + 12.2291i −1.94963 + 0.522402i
\(549\) 32.5276 3.88361i 1.38824 0.165749i
\(550\) −41.3185 + 13.2402i −1.76183 + 0.564565i
\(551\) 1.83022 + 1.05668i 0.0779699 + 0.0450160i
\(552\) −17.5159 + 11.5515i −0.745527 + 0.491665i
\(553\) 9.41091 2.78625i 0.400193 0.118483i
\(554\) −28.0201 −1.19046
\(555\) 6.79354 + 18.8821i 0.288370 + 0.801499i
\(556\) −15.8711 27.4896i −0.673086 1.16582i
\(557\) 18.9058 + 5.06579i 0.801065 + 0.214645i 0.636051 0.771647i \(-0.280567\pi\)
0.165013 + 0.986291i \(0.447233\pi\)
\(558\) 4.69376 + 0.675664i 0.198703 + 0.0286031i
\(559\) 0.860969i 0.0364151i
\(560\) −16.2794 14.7219i −0.687930 0.622115i
\(561\) 3.79027 18.4718i 0.160025 0.779880i
\(562\) −2.75121 + 0.737184i −0.116053 + 0.0310962i
\(563\) 7.32534 27.3385i 0.308726 1.15218i −0.620964 0.783839i \(-0.713259\pi\)
0.929690 0.368343i \(-0.120075\pi\)
\(564\) 18.8598 6.27539i 0.794141 0.264242i
\(565\) 24.5305 + 5.94189i 1.03201 + 0.249977i
\(566\) 59.5602i 2.50350i
\(567\) 11.9452 + 20.5988i 0.501652 + 0.865070i
\(568\) 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 \(0.207209\pi\)
\(570\) 3.56166 + 0.641606i 0.149182 + 0.0268739i
\(571\) 10.6877 + 18.5116i 0.447266 + 0.774687i 0.998207 0.0598570i \(-0.0190645\pi\)
−0.550941 + 0.834544i \(0.685731\pi\)
\(572\) −6.60618 24.6546i −0.276218 1.03086i
\(573\) 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
\(576\) −20.5744 + 15.3964i −0.857267 + 0.641518i
\(577\) −10.2181 + 38.1345i −0.425386 + 1.58756i 0.337694 + 0.941256i \(0.390353\pi\)
−0.763079 + 0.646305i \(0.776313\pi\)
\(578\) 4.81921 17.9855i 0.200453 0.748100i
\(579\) 17.7042 19.9437i 0.735761 0.828833i
\(580\) 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
\(583\) −2.89980 10.8222i −0.120098 0.448210i
\(584\) −7.81384 13.5340i −0.323339 0.560040i
\(585\) −11.1978 + 4.79762i −0.462971 + 0.198357i
\(586\) −29.5322 + 51.1512i −1.21996 + 2.11304i
\(587\) 28.9592 28.9592i 1.19527 1.19527i 0.219708 0.975566i \(-0.429489\pi\)
0.975566 0.219708i \(-0.0705105\pi\)
\(588\) −47.6092 + 5.33071i −1.96337 + 0.219835i
\(589\) 0.248190i 0.0102265i
\(590\) 9.80075 40.4615i 0.403491 1.66577i
\(591\) 0.450228 + 1.35310i 0.0185199 + 0.0556590i
\(592\) 4.97521 18.5677i 0.204480 0.763129i
\(593\) 30.1759 8.08560i 1.23917 0.332036i 0.421029 0.907047i \(-0.361669\pi\)
0.818146 + 0.575011i \(0.195002\pi\)
\(594\) −37.0316 25.7253i −1.51942 1.05552i
\(595\) 8.25522 16.1155i 0.338431 0.660671i
\(596\) 70.2592i 2.87793i
\(597\) 0.475501 + 7.99349i 0.0194610 + 0.327152i
\(598\) −10.8901 2.91800i −0.445330 0.119326i
\(599\) −8.18471 14.1763i −0.334418 0.579229i 0.648955 0.760827i \(-0.275206\pi\)
−0.983373 + 0.181598i \(0.941873\pi\)
\(600\) 6.32668 40.7361i 0.258286 1.66304i
\(601\) −0.0942728 −0.00384547 −0.00192273 0.999998i \(-0.500612\pi\)
−0.00192273 + 0.999998i \(0.500612\pi\)
\(602\) −2.93410 + 0.868685i −0.119585 + 0.0354050i
\(603\) 35.7269 14.2959i 1.45491 0.582175i
\(604\) 68.1188 + 39.3284i 2.77171 + 1.60025i
\(605\) −0.0892598 3.69494i −0.00362893 0.150221i
\(606\) 0.731993 0.243562i 0.0297352 0.00989405i
\(607\) 0.843796 0.226095i 0.0342486 0.00917689i −0.241654 0.970362i \(-0.577690\pi\)
0.275903 + 0.961186i \(0.411023\pi\)
\(608\) 0.127203 + 0.127203i 0.00515874 + 0.00515874i
\(609\) −8.60469 23.7747i −0.348679 0.963401i
\(610\) −57.1467 + 16.8017i −2.31380 + 0.680280i
\(611\) 4.56765 + 2.63713i 0.184787 + 0.106687i
\(612\) 28.5143 + 22.4316i 1.15262 + 0.906744i
\(613\) −1.04613 0.280310i −0.0422528 0.0113216i 0.237631 0.971356i \(-0.423629\pi\)
−0.279884 + 0.960034i \(0.590296\pi\)
\(614\) 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 −0.981846 0.189679i \(-0.939255\pi\)
0.189679 + 0.981846i \(0.439255\pi\)
\(618\) 1.21917 + 20.4950i 0.0490421 + 0.824431i
\(619\) −16.1891 + 9.34677i −0.650694 + 0.375679i −0.788722 0.614750i \(-0.789257\pi\)
0.138028 + 0.990428i \(0.455924\pi\)
\(620\) −5.72326 + 0.138259i −0.229852 + 0.00555260i
\(621\) −11.9637 + 5.63295i −0.480085 + 0.226043i
\(622\) 4.70222 + 4.70222i 0.188542 + 0.188542i
\(623\) 2.28282 + 7.71051i 0.0914591 + 0.308915i
\(624\) 11.4315 + 2.34567i 0.457628 + 0.0939018i
\(625\) −14.5301 20.3439i −0.581205 0.813757i
\(626\) −54.7501 + 31.6100i −2.18825 + 1.26339i
\(627\) −1.05651 + 2.11019i −0.0421928 + 0.0842729i
\(628\) 10.5712 + 39.4521i 0.421836 + 1.57431i
\(629\) 15.8579 0.632296
\(630\) −27.6479 33.3203i −1.10152 1.32751i
\(631\) −7.63531 −0.303957 −0.151978 0.988384i \(-0.548564\pi\)
−0.151978 + 0.988384i \(0.548564\pi\)
\(632\) −4.57034 17.0567i −0.181798 0.678481i
\(633\) −17.6907 + 35.3342i −0.703143 + 1.40441i
\(634\) −9.96121 + 5.75111i −0.395610 + 0.228406i
\(635\) 8.58474 + 2.07943i 0.340675 + 0.0825197i
\(636\) 21.1164 + 4.33292i 0.837319 + 0.171812i
\(637\) −9.44466 8.50866i −0.374211 0.337126i
\(638\) 33.8548 + 33.8548i 1.34033 + 1.34033i
\(639\) 7.36606 5.51224i 0.291397 0.218061i
\(640\) 30.7838 32.3079i 1.21684 1.27708i
\(641\) −23.0817 + 13.3263i −0.911674 + 0.526355i −0.880969 0.473173i \(-0.843108\pi\)
−0.0307047 + 0.999528i \(0.509775\pi\)
\(642\) 2.70356 + 45.4487i 0.106701 + 1.79372i
\(643\) −21.9767 + 21.9767i −0.866677 + 0.866677i −0.992103 0.125426i \(-0.959970\pi\)
0.125426 + 0.992103i \(0.459970\pi\)
\(644\) −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
\(647\) −22.8390 6.11969i −0.897893 0.240590i −0.219782 0.975549i \(-0.570535\pi\)
−0.678111 + 0.734959i \(0.737201\pi\)
\(648\) 37.6081 20.5192i 1.47739 0.806071i
\(649\) 23.5103 + 13.5737i 0.922861 + 0.532814i
\(650\) 18.6263 11.9890i 0.730583 0.470246i
\(651\) −1.91275 + 2.27118i −0.0749666 + 0.0890146i
\(652\) −55.8848 55.8848i −2.18862 2.18862i
\(653\) −26.2822 + 7.04229i −1.02850 + 0.275586i −0.733341 0.679861i \(-0.762040\pi\)
−0.295161 + 0.955448i \(0.595373\pi\)
\(654\) 40.9360 13.6210i 1.60072 0.532623i
\(655\) 19.7336 0.476711i 0.771057 0.0186267i
\(656\) −32.4751 18.7495i −1.26794 0.732046i
\(657\) −3.65897 9.14410i −0.142750 0.356745i
\(658\) −4.37851 + 18.2269i −0.170692 + 0.710557i
\(659\) 43.7515 1.70432 0.852158 0.523285i \(-0.175294\pi\)
0.852158 + 0.523285i \(0.175294\pi\)
\(660\) 49.2495 + 23.1875i 1.91703 + 0.902573i
\(661\) −4.32752 7.49549i −0.168321 0.291541i 0.769509 0.638636i \(-0.220501\pi\)
−0.937830 + 0.347096i \(0.887168\pi\)
\(662\) −23.8284 6.38480i −0.926117 0.248152i
\(663\) 0.571661 + 9.61000i 0.0222015 + 0.373222i
\(664\) 6.55674i 0.254451i
\(665\) −1.51993 + 1.68072i −0.0589403 + 0.0651757i
\(666\) 14.9329 34.8554i 0.578638 1.35062i
\(667\) 13.5626 3.63408i 0.525145 0.140712i
\(668\) 8.80597 32.8643i 0.340713 1.27156i
\(669\) −7.35554 22.1061i −0.284382 0.854670i
\(670\) −59.7336 + 36.4384i −2.30771 + 1.40774i
\(671\) 38.8418i 1.49947i
\(672\) −0.183703 2.14435i −0.00708650 0.0827201i
\(673\) 6.15620 6.15620i 0.237304 0.237304i −0.578429 0.815733i \(-0.696334\pi\)
0.815733 + 0.578429i \(0.196334\pi\)
\(674\) −15.1587 + 26.2556i −0.583891 + 1.01133i
\(675\) 7.60448 24.8429i 0.292696 0.956205i
\(676\) −19.1678 33.1996i −0.737222 1.27691i
\(677\) −1.40139 5.23005i −0.0538597 0.201007i 0.933753 0.357918i \(-0.116513\pi\)
−0.987613 + 0.156911i \(0.949847\pi\)
\(678\) −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
\(681\) 2.54069 2.86207i 0.0973593 0.109675i
\(682\) 1.45527 5.43115i 0.0557253 0.207970i
\(683\) −1.84721 + 6.89389i −0.0706817 + 0.263788i −0.992219 0.124501i \(-0.960267\pi\)
0.921538 + 0.388289i \(0.126934\pi\)
\(684\) −2.72036 3.63525i −0.104016 0.138997i
\(685\) 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
\(688\) 0.455240 + 1.69898i 0.0173559 + 0.0647730i
\(689\) 2.86001 + 4.95369i 0.108958 + 0.188721i
\(690\) 19.7469 13.7184i 0.751750 0.522249i
\(691\) 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
\(693\) 25.9309 11.1680i 0.985032 0.424237i
\(694\) 26.9534i 1.02314i
\(695\) 9.35472 + 15.3352i 0.354845 + 0.581698i
\(696\) −43.1637 + 14.3622i −1.63612 + 0.544399i
\(697\) 8.00657 29.8809i 0.303271 1.13182i
\(698\) −16.1352 + 4.32340i −0.610725 + 0.163643i
\(699\) −8.98517 + 43.7890i −0.339850 + 1.65625i
\(700\) 39.6042 + 34.1132i 1.49690 + 1.28936i
\(701\) 23.4224i 0.884654i 0.896854 + 0.442327i \(0.145847\pi\)
−0.896854 + 0.442327i \(0.854153\pi\)
\(702\) 21.6610 + 7.79294i 0.817541 + 0.294125i
\(703\) −1.91698 0.513653i −0.0723003 0.0193728i
\(704\) 15.2347 + 26.3872i 0.574178 + 0.994506i
\(705\) −10.5841 + 3.80803i −0.398620 + 0.143419i
\(706\) 54.3705 2.04626
\(707\) −0.112830 + 0.469687i −0.00424339 + 0.0176644i
\(708\) −43.6031 + 28.7556i −1.63870 + 1.08070i
\(709\) −9.67685 5.58693i −0.363422 0.209822i 0.307159 0.951658i \(-0.400622\pi\)
−0.670581 + 0.741837i \(0.733955\pi\)
\(710\) −11.5400 + 12.1113i −0.433087 + 0.454529i
\(711\) −1.31935 11.0503i −0.0494795 0.414420i
\(712\) 13.9749 3.74455i 0.523730 0.140333i
\(713\) −1.16599 1.16599i −0.0436667 0.0436667i
\(714\) −32.1732 + 11.6443i −1.20405 + 0.435777i
\(715\) 4.07436 + 13.8579i 0.152373 + 0.518257i
\(716\) 72.3786 + 41.7878i 2.70492 + 1.56168i
\(717\) −4.15003 + 8.28896i −0.154986 + 0.309557i
\(718\) 63.0846 + 16.9035i 2.35430 + 0.630832i
\(719\) −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
\(723\) 13.9136 0.827665i 0.517453 0.0307812i
\(724\) −76.7303 + 44.3002i −2.85166 + 1.64641i
\(725\) −12.6238 + 24.5293i −0.468837 + 0.910994i
\(726\) −4.63659 + 5.22310i −0.172080 + 0.193847i
\(727\) 35.2560 + 35.2560i 1.30757 + 1.30757i 0.923162 + 0.384411i \(0.125595\pi\)
0.384411 + 0.923162i \(0.374405\pi\)
\(728\) −15.7459 + 16.5882i −0.583584 + 0.614801i
\(729\) 25.3024 9.42280i 0.937125 0.348993i
\(730\) 9.32622 + 15.2885i 0.345179 + 0.565853i
\(731\) −1.25662 + 0.725512i −0.0464779 + 0.0268340i
\(732\) 66.8237 + 33.4566i 2.46988 + 1.23659i
\(733\) −11.2869 42.1232i −0.416890 1.55586i −0.781019 0.624507i \(-0.785300\pi\)
0.364129 0.931349i \(-0.381367\pi\)
\(734\) 41.0140 1.51386
\(735\) 26.8618 3.66649i 0.990813 0.135241i
\(736\) 1.19519 0.0440552
\(737\) −11.8091 44.0721i −0.434993 1.62342i
\(738\) −58.1383 45.7363i −2.14010 1.68358i
\(739\) 13.3113 7.68531i 0.489666 0.282709i −0.234770 0.972051i \(-0.575434\pi\)
0.724436 + 0.689342i \(0.242100\pi\)
\(740\) −10.7769 + 44.4917i −0.396168 + 1.63555i
\(741\) 0.242173 1.18022i 0.00889643 0.0433565i
\(742\) −13.9960 + 14.7447i −0.513811 + 0.541296i
\(743\) −34.3837 34.3837i −1.26141 1.26141i −0.950408 0.311007i \(-0.899334\pi\)
−0.311007 0.950408i \(-0.600666\pi\)
\(744\) 3.99527 + 3.54663i 0.146474 + 0.130026i
\(745\) 0.960223 + 39.7488i 0.0351799 + 1.45628i
\(746\) −22.1642 + 12.7965i −0.811490 + 0.468514i
\(747\) 0.588765 4.09008i 0.0215418 0.149648i
\(748\) 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 \(0.296639\pi\)
\(752\) 10.4079 + 2.78879i 0.379537 + 0.101697i
\(753\) −6.58984 3.29933i −0.240147 0.120234i
\(754\) −21.1686 12.2217i −0.770915 0.445088i
\(755\) −39.0754 21.3189i −1.42210 0.775873i
\(756\) −3.12215 + 54.2313i −0.113552 + 1.97237i
\(757\) −20.4109 20.4109i −0.741847 0.741847i 0.231086 0.972933i \(-0.425772\pi\)
−0.972933 + 0.231086i \(0.925772\pi\)
\(758\) 52.0174 13.9380i 1.88936 0.506252i
\(759\) 4.95017 + 14.8771i 0.179680 + 0.540003i
\(760\) 2.95169 + 2.81245i 0.107069 + 0.102018i
\(761\) 25.7320 + 14.8564i 0.932785 + 0.538544i