Properties

Label 105.2.x.a.2.1
Level 105
Weight 2
Character 105.2
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 2.1
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.631395 - 2.35640i) q^{2} +(0.102851 - 1.72899i) q^{3} +(-3.42191 + 1.97564i) q^{4} +(-1.90893 + 1.16447i) q^{5} +(-4.13914 + 0.849321i) q^{6} +(1.82148 - 1.91891i) q^{7} +(3.36596 + 3.36596i) q^{8} +(-2.97884 - 0.355658i) q^{9} +O(q^{10})\) \(q+(-0.631395 - 2.35640i) q^{2} +(0.102851 - 1.72899i) 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} +(-2.97884 - 0.355658i) q^{9} +(3.94925 + 3.76295i) q^{10} +(3.08053 - 1.77855i) q^{11} +(3.06392 + 6.11965i) q^{12} +(1.28412 - 1.28412i) q^{13} +(-5.67179 - 3.08053i) q^{14} +(1.81704 + 3.42029i) q^{15} +(1.85502 - 3.21299i) q^{16} +(-2.95633 - 0.792145i) q^{17} +(1.04276 + 7.24390i) 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} +(2.45814 - 0.658656i) q^{23} +(6.16592 - 5.47354i) q^{24} +(2.28800 - 4.44579i) q^{25} +(-3.83669 - 2.21512i) q^{26} +(-0.921307 + 5.11382i) q^{27} +(-2.44184 + 10.1649i) q^{28} +5.51741 q^{29} +(6.91230 - 6.44122i) q^{30} +(0.323980 + 0.561149i) q^{31} +(0.453646 + 0.121554i) q^{32} +(-2.75826 - 5.50915i) 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} +(-2.08817 - 2.35231i) q^{39} +(-10.3449 - 2.50579i) q^{40} +10.1075i q^{41} +(-5.90957 + 9.48967i) q^{42} +(-0.335236 + 0.335236i) q^{43} +(-7.02753 + 12.1720i) q^{44} +(6.10055 - 2.78986i) q^{45} +(-3.10411 - 5.37648i) q^{46} +(-0.751687 - 2.80533i) q^{47} +(-5.36445 - 3.53778i) q^{48} +(-0.364449 - 6.99051i) q^{49} +(-11.9207 - 2.58438i) q^{50} +(-1.67368 + 5.03000i) q^{51} +(-1.85718 + 6.93111i) q^{52} +(0.815217 - 3.04243i) q^{53} +(12.6319 - 1.05788i) q^{54} +(-3.80944 + 6.98232i) q^{55} +(12.5900 - 0.327966i) q^{56} +(-0.365249 + 0.553839i) q^{57} +(-3.48367 - 13.0012i) q^{58} +(3.81595 + 6.60942i) q^{59} +(-12.9750 - 8.11411i) q^{60} +(-5.45977 + 9.45659i) q^{61} +(1.11773 - 1.11773i) q^{62} +(-6.10837 + 5.06832i) q^{63} -8.56580i q^{64} +(-0.955966 + 3.94662i) q^{65} +(-11.2402 + 9.97802i) 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} +(-8.82954 - 11.2238i) q^{72} +(3.17113 + 0.849702i) q^{73} +(-6.31993 - 10.9464i) q^{74} +(-7.45143 - 4.41319i) q^{75} +1.51347 q^{76} +(2.19824 - 9.15085i) q^{77} +(-4.22453 + 6.40579i) q^{78} +(3.21262 + 1.85480i) q^{79} +(0.200348 + 8.29348i) q^{80} +(8.74702 + 2.11890i) q^{81} +(23.8172 - 6.38180i) 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} +(0.567471 - 9.53957i) q^{87} +(16.3555 + 4.38244i) q^{88} +(1.51967 - 2.63215i) q^{89} +(-10.4259 - 12.6138i) q^{90} +(-0.125120 - 4.80311i) q^{91} +(-7.11025 + 7.11025i) q^{92} +(1.00355 - 0.502444i) q^{93} +(-6.13587 + 3.54255i) q^{94} +(0.856240 - 0.0206844i) q^{95} +(0.256825 - 0.771850i) 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 \(-0.752230\pi\)
0.265578 0.964089i \(-0.414437\pi\)
\(3\) 0.102851 1.72899i 0.0593810 0.998235i
\(4\) −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
\(9\) −2.97884 0.355658i −0.992948 0.118553i
\(10\) 3.94925 + 3.76295i 1.24886 + 1.18995i
\(11\) 3.08053 1.77855i 0.928816 0.536252i 0.0423788 0.999102i \(-0.486506\pi\)
0.886437 + 0.462850i \(0.153173\pi\)
\(12\) 3.06392 + 6.11965i 0.884478 + 1.76659i
\(13\) 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
\(15\) 1.81704 + 3.42029i 0.469156 + 0.883115i
\(16\) 1.85502 3.21299i 0.463755 0.803247i
\(17\) −2.95633 0.792145i −0.717015 0.192123i −0.118175 0.992993i \(-0.537704\pi\)
−0.598839 + 0.800869i \(0.704371\pi\)
\(18\) 1.04276 + 7.24390i 0.245780 + 1.70740i
\(19\) −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
\(21\) −3.13045 3.34668i −0.683120 0.730306i
\(22\) −6.13600 6.13600i −1.30820 1.30820i
\(23\) 2.45814 0.658656i 0.512557 0.137339i 0.00673550 0.999977i \(-0.497856\pi\)
0.505822 + 0.862638i \(0.331189\pi\)
\(24\) 6.16592 5.47354i 1.25861 1.11728i
\(25\) 2.28800 4.44579i 0.457600 0.889158i
\(26\) −3.83669 2.21512i −0.752437 0.434420i
\(27\) −0.921307 + 5.11382i −0.177306 + 0.984156i
\(28\) −2.44184 + 10.1649i −0.461465 + 1.92099i
\(29\) 5.51741 1.02456 0.512279 0.858819i \(-0.328801\pi\)
0.512279 + 0.858819i \(0.328801\pi\)
\(30\) 6.91230 6.44122i 1.26201 1.17600i
\(31\) 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
\(33\) −2.75826 5.50915i −0.480152 0.959020i
\(34\) 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
\(39\) −2.08817 2.35231i −0.334374 0.376671i
\(40\) −10.3449 2.50579i −1.63568 0.396201i
\(41\) 10.1075i 1.57852i 0.614060 + 0.789259i \(0.289535\pi\)
−0.614060 + 0.789259i \(0.710465\pi\)
\(42\) −5.90957 + 9.48967i −0.911867 + 1.46429i
\(43\) −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
\(45\) 6.10055 2.78986i 0.909416 0.415888i
\(46\) −3.10411 5.37648i −0.457677 0.792719i
\(47\) −0.751687 2.80533i −0.109645 0.409200i 0.889186 0.457546i \(-0.151272\pi\)
−0.998831 + 0.0483463i \(0.984605\pi\)
\(48\) −5.36445 3.53778i −0.774291 0.510634i
\(49\) −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
\(52\) −1.85718 + 6.93111i −0.257545 + 0.961171i
\(53\) 0.815217 3.04243i 0.111979 0.417910i −0.887065 0.461645i \(-0.847259\pi\)
0.999043 + 0.0437355i \(0.0139259\pi\)
\(54\) 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
\(57\) −0.365249 + 0.553839i −0.0483784 + 0.0733578i
\(58\) −3.48367 13.0012i −0.457428 1.70714i
\(59\) 3.81595 + 6.60942i 0.496795 + 0.860474i 0.999993 0.00369723i \(-0.00117687\pi\)
−0.503198 + 0.864171i \(0.667844\pi\)
\(60\) −12.9750 8.11411i −1.67506 1.04753i
\(61\) −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
\(63\) −6.10837 + 5.06832i −0.769582 + 0.638548i
\(64\) 8.56580i 1.07072i
\(65\) −0.955966 + 3.94662i −0.118573 + 0.489518i
\(66\) −11.2402 + 9.97802i −1.38357 + 1.22821i
\(67\) −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 \(-0.941750\pi\)
0.983303 0.181977i \(-0.0582497\pi\)
\(72\) −8.82954 11.2238i −1.04057 1.32274i
\(73\) 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
\(75\) −7.45143 4.41319i −0.860417 0.509591i
\(76\) 1.51347 0.173607
\(77\) 2.19824 9.15085i 0.250513 1.04284i
\(78\) −4.22453 + 6.40579i −0.478334 + 0.725313i
\(79\) 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
\(81\) 8.74702 + 2.11890i 0.971891 + 0.235433i
\(82\) 23.8172 6.38180i 2.63017 0.704752i
\(83\) −0.973978 0.973978i −0.106908 0.106908i 0.651629 0.758537i \(-0.274086\pi\)
−0.758537 + 0.651629i \(0.774086\pi\)
\(84\) 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
\(87\) 0.567471 9.53957i 0.0608393 1.02275i
\(88\) 16.3555 + 4.38244i 1.74350 + 0.467169i
\(89\) 1.51967 2.63215i 0.161085 0.279007i −0.774173 0.632974i \(-0.781834\pi\)
0.935258 + 0.353967i \(0.115167\pi\)
\(90\) −10.4259 12.6138i −1.09899 1.32961i
\(91\) −0.125120 4.80311i −0.0131161 0.503503i
\(92\) −7.11025 + 7.11025i −0.741295 + 0.741295i
\(93\) 1.00355 0.502444i 0.104063 0.0521011i
\(94\) −6.13587 + 3.54255i −0.632867 + 0.365386i
\(95\) 0.856240 0.0206844i 0.0878483 0.00212218i
\(96\) 0.256825 0.771850i 0.0262120 0.0787766i
\(97\) −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 −0.492113 0.870531i \(-0.663775\pi\)
0.507846 + 0.861448i \(0.330442\pi\)
\(102\) 12.9094 + 0.767931i 1.27822 + 0.0760365i
\(103\) −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
\(105\) 9.87292 + 2.74325i 0.963499 + 0.267713i
\(106\) −7.68390 −0.746327
\(107\) 2.78881 + 10.4080i 0.269605 + 1.00618i 0.959371 + 0.282146i \(0.0910464\pi\)
−0.689767 + 0.724032i \(0.742287\pi\)
\(108\) −6.95044 19.3192i −0.668807 1.85899i
\(109\) −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 0.223794 0.974636i \(-0.428156\pi\)
−0.974636 + 0.223794i \(0.928156\pi\)
\(114\) 1.53568 + 0.510981i 0.143830 + 0.0478578i
\(115\) −3.92542 + 4.11977i −0.366047 + 0.384170i
\(116\) −18.8801 + 10.9004i −1.75297 + 1.01208i
\(117\) −4.28191 + 3.36849i −0.395862 + 0.311417i
\(118\) 13.1651 13.1651i 1.21194 1.21194i
\(119\) −6.90494 + 4.23006i −0.632974 + 0.387769i
\(120\) −5.39649 + 17.6286i −0.492630 + 1.60927i
\(121\) 0.826456 1.43146i 0.0751323 0.130133i
\(122\) 25.7308 + 6.89454i 2.32955 + 0.624202i
\(123\) 17.4757 + 1.03956i 1.57573 + 0.0937341i
\(124\) −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 0.820092 0.572232i \(-0.193922\pi\)
−0.572232 + 0.820092i \(0.693922\pi\)
\(128\) −19.2771 + 5.16530i −1.70387 + 0.456552i
\(129\) 0.545143 + 0.614101i 0.0479971 + 0.0540686i
\(130\) 9.90341 0.239240i 0.868586 0.0209827i
\(131\) −7.64504 4.41386i −0.667950 0.385641i 0.127349 0.991858i \(-0.459353\pi\)
−0.795299 + 0.606217i \(0.792686\pi\)
\(132\) 20.3226 + 13.4025i 1.76886 + 1.16654i
\(133\) −0.971718 + 0.287692i −0.0842587 + 0.0249461i
\(134\) 31.2917 2.70319
\(135\) −4.19621 10.8348i −0.361152 0.932507i
\(136\) −7.28455 12.6172i −0.624645 1.08192i
\(137\) −11.5506 3.09498i −0.986836 0.264422i −0.270915 0.962603i \(-0.587326\pi\)
−0.715921 + 0.698181i \(0.753993\pi\)
\(138\) −9.61517 + 4.81402i −0.818498 + 0.409797i
\(139\) 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
\(144\) −6.66853 + 8.91123i −0.555711 + 0.742603i
\(145\) −10.5323 + 6.42489i −0.874663 + 0.533558i
\(146\) 8.00895i 0.662826i
\(147\) −12.1240 0.0888504i −0.999973 0.00732825i
\(148\) −14.4764 + 14.4764i −1.18995 + 1.18995i
\(149\) 8.89069 15.3991i 0.728354 1.26155i −0.229225 0.973374i \(-0.573619\pi\)
0.957579 0.288172i \(-0.0930477\pi\)
\(150\) −5.69444 + 20.3450i −0.464949 + 1.66116i
\(151\) −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
\(153\) 8.52470 + 3.41112i 0.689181 + 0.275772i
\(154\) −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
\(157\) 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
\(159\) −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
\(162\) −0.529858 21.9493i −0.0416296 1.72450i
\(163\) 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
\(165\) 11.6806 + 7.30463i 0.909332 + 0.568665i
\(166\) −1.68012 + 2.91005i −0.130402 + 0.225863i
\(167\) 6.08875 6.08875i 0.471162 0.471162i −0.431129 0.902290i \(-0.641884\pi\)
0.902290 + 0.431129i \(0.141884\pi\)
\(168\) 0.727843 21.8018i 0.0561543 1.68204i
\(169\) 9.70206i 0.746312i
\(170\) −8.69448 14.2529i −0.666836 1.09315i
\(171\) 0.920018 + 0.688476i 0.0703556 + 0.0526491i
\(172\) 0.484842 1.80945i 0.0369688 0.137970i
\(173\) −1.62388 + 0.435117i −0.123461 + 0.0330813i −0.320021 0.947411i \(-0.603690\pi\)
0.196559 + 0.980492i \(0.437023\pi\)
\(174\) −22.8373 + 4.68605i −1.73129 + 0.355249i
\(175\) −4.36355 12.4884i −0.329854 0.944032i
\(176\) 13.1969i 0.994758i
\(177\) 11.8201 5.91797i 0.888455 0.444822i
\(178\) −7.16190 1.91903i −0.536807 0.143837i
\(179\) 10.5758 + 18.3178i 0.790470 + 1.36913i 0.925676 + 0.378317i \(0.123497\pi\)
−0.135206 + 0.990818i \(0.543170\pi\)
\(180\) −15.3637 + 21.5991i −1.14515 + 1.60990i
\(181\) 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
\(183\) 15.7889 + 10.4125i 1.16715 + 0.769716i
\(184\) 10.4910 + 6.05699i 0.773407 + 0.446527i
\(185\) −7.99208 + 8.38778i −0.587590 + 0.616682i
\(186\) −1.81759 2.04751i −0.133272 0.150131i
\(187\) −10.5159 + 2.81773i −0.769001 + 0.206053i
\(188\) 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 \(0.426978\pi\)
\(192\) −14.8102 0.881001i −1.06884 0.0635807i
\(193\) −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
\(195\) 6.72536 + 2.05877i 0.481613 + 0.147432i
\(196\) 15.0578 + 23.2008i 1.07556 + 1.65720i
\(197\) −0.582177 + 0.582177i −0.0414784 + 0.0414784i −0.727542 0.686063i \(-0.759337\pi\)
0.686063 + 0.727542i \(0.259337\pi\)
\(198\) 16.0959 + 20.4605i 1.14388 + 1.45406i
\(199\) 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
\(201\) 21.0806 + 7.01435i 1.48691 + 0.494754i
\(202\) −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
\(207\) −7.55667 + 1.08778i −0.525225 + 0.0756058i
\(208\) −1.74380 6.50794i −0.120911 0.451244i
\(209\) −1.36249 −0.0942452
\(210\) 0.230464 24.9966i 0.0159036 1.72493i
\(211\) 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
\(213\) −5.30236 0.315416i −0.363312 0.0216120i
\(214\) 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
\(219\) 1.79528 5.39548i 0.121314 0.364593i
\(220\) −0.758996 31.4189i −0.0511715 2.11826i
\(221\) −4.81349 + 2.77907i −0.323791 + 0.186941i
\(222\) −19.5763 + 9.80126i −1.31388 + 0.657818i
\(223\) −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
\(225\) −8.39677 + 12.4296i −0.559784 + 0.828638i
\(226\) −13.7682 + 23.8473i −0.915849 + 1.58630i
\(227\) 2.13428 + 0.571878i 0.141657 + 0.0379569i 0.328951 0.944347i \(-0.393305\pi\)
−0.187294 + 0.982304i \(0.559972\pi\)
\(228\) 0.155662 2.61679i 0.0103090 0.173301i
\(229\) 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
\(231\) −15.5957 4.74192i −1.02612 0.311996i
\(232\) 18.5714 + 18.5714i 1.21927 + 1.21927i
\(233\) −24.9289 + 6.67968i −1.63315 + 0.437601i −0.954826 0.297164i \(-0.903959\pi\)
−0.678322 + 0.734765i \(0.737292\pi\)
\(234\) 10.6411 + 7.96303i 0.695629 + 0.520560i
\(235\) 4.70165 + 4.47985i 0.306702 + 0.292233i
\(236\) −26.1157 15.0779i −1.69998 0.981487i
\(237\) 3.53737 5.36383i 0.229777 0.348418i
\(238\) 14.3274 + 13.5999i 0.928711 + 0.881554i
\(239\) −5.35194 −0.346188 −0.173094 0.984905i \(-0.555376\pi\)
−0.173094 + 0.984905i \(0.555376\pi\)
\(240\) 14.3600 + 0.506592i 0.926933 + 0.0327004i
\(241\) −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
\(243\) 4.56320 14.9056i 0.292729 0.956195i
\(244\) 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
\(249\) −1.78418 + 1.58383i −0.113068 + 0.100371i
\(250\) 25.7652 8.94795i 1.62953 0.565918i
\(251\) 4.25486i 0.268565i −0.990943 0.134282i \(-0.957127\pi\)
0.990943 0.134282i \(-0.0428729\pi\)
\(252\) 10.8891 29.4112i 0.685949 1.85273i
\(253\) 6.40093 6.40093i 0.402423 0.402423i
\(254\) 4.81835 8.34562i 0.302330 0.523651i
\(255\) −2.66238 11.5509i −0.166725 0.723342i
\(256\) 15.7772 + 27.3269i 0.986075 + 1.70793i
\(257\) −0.937470 3.49869i −0.0584778 0.218242i 0.930503 0.366283i \(-0.119370\pi\)
−0.988981 + 0.148041i \(0.952703\pi\)
\(258\) 1.10287 1.67231i 0.0686615 0.104114i
\(259\) 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
\(262\) −5.57379 + 20.8017i −0.344350 + 1.28513i
\(263\) −1.99500 + 7.44545i −0.123017 + 0.459106i −0.999761 0.0218510i \(-0.993044\pi\)
0.876744 + 0.480957i \(0.159711\pi\)
\(264\) 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
\(267\) −4.39467 2.89822i −0.268949 0.177368i
\(268\) −13.1177 48.9560i −0.801292 2.99046i
\(269\) −9.75238 16.8916i −0.594613 1.02990i −0.993601 0.112944i \(-0.963972\pi\)
0.398988 0.916956i \(-0.369362\pi\)
\(270\) −22.8815 + 16.7290i −1.39253 + 1.01809i
\(271\) 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
\(273\) −8.31743 0.277674i −0.503394 0.0168056i
\(274\) 29.1720i 1.76235i
\(275\) −0.858796 17.7647i −0.0517874 1.07125i
\(276\) 11.5623 + 13.0249i 0.695968 + 0.784006i
\(277\) −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 \(-0.988913\pi\)
0.999393 0.0348250i \(-0.0110874\pi\)
\(282\) 5.49397 + 10.9732i 0.327161 + 0.653447i
\(283\) 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
\(285\) 0.0523018 1.48256i 0.00309809 0.0878193i
\(286\) −15.7587 −0.931834
\(287\) 19.3953 + 18.4105i 1.14487 + 1.08674i
\(288\) −1.30811 0.523434i −0.0770811 0.0308436i
\(289\) −6.61006 3.81632i −0.388827 0.224489i
\(290\) 21.7897 + 20.7617i 1.27953 + 1.21917i
\(291\) −18.9482 + 16.8205i −1.11077 + 0.986035i
\(292\) −12.5300 + 3.35741i −0.733264 + 0.196478i
\(293\) −17.1201 17.1201i −1.00016 1.00016i −1.00000 0.000164506i \(-0.999948\pi\)
−0.000164506 1.00000i \(-0.500052\pi\)
\(294\) 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
\(297\) 6.25706 + 17.3919i 0.363071 + 1.00918i
\(298\) −41.9000 11.2271i −2.42720 0.650367i
\(299\) 2.31075 4.00234i 0.133634 0.231462i
\(300\) 34.2170 + 0.380194i 1.97552 + 0.0219505i
\(301\) 0.0326641 + 1.25391i 0.00188273 + 0.0722744i
\(302\) −34.3391 + 34.3391i −1.97599 + 1.97599i
\(303\) −0.141574 0.282769i −0.00813320 0.0162447i
\(304\) −1.23068 + 0.710535i −0.0705845 + 0.0407520i
\(305\) −0.589672 24.4097i −0.0337645 1.39769i
\(306\) 2.65550 22.2414i 0.151805 1.27145i
\(307\) −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 −0.565436 0.824792i \(-0.691292\pi\)
0.431572 + 0.902078i \(0.357959\pi\)
\(312\) 0.889107 14.9465i 0.0503357 0.846178i
\(313\) 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
\(315\) 5.75850 16.7881i 0.324454 0.945901i
\(316\) −14.6577 −0.824560
\(317\) −1.22032 4.55428i −0.0685398 0.255794i 0.923151 0.384437i \(-0.125604\pi\)
−0.991691 + 0.128643i \(0.958938\pi\)
\(318\) −0.790297 + 13.2854i −0.0443177 + 0.745010i
\(319\) 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
\(324\) −34.1176 + 10.0303i −1.89542 + 0.557238i
\(325\) −2.77087 8.64701i −0.153700 0.479650i
\(326\) 42.2578 24.3975i 2.34044 1.35125i
\(327\) 7.91737 + 15.8136i 0.437831 + 0.874492i
\(328\) −34.0213 + 34.0213i −1.87851 + 1.87851i
\(329\) −6.75237 3.66743i −0.372270 0.202192i
\(330\) 9.83757 32.1362i 0.541540 1.76904i
\(331\) −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
\(333\) −15.3852 + 2.21470i −0.843106 + 0.121365i
\(334\) −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 0.904713 0.426021i \(-0.140085\pi\)
−0.426021 + 0.904713i \(0.640085\pi\)
\(338\) 22.8619 6.12584i 1.24353 0.333202i
\(339\) −14.6210 + 12.9792i −0.794103 + 0.704931i
\(340\) −18.6539 + 19.5775i −1.01165 + 1.06174i
\(341\) 1.99606 + 1.15243i 0.108093 + 0.0624074i
\(342\) 1.04143 2.60263i 0.0563141 0.140734i
\(343\) −14.0780 12.0337i −0.760141 0.649758i
\(344\) −2.25679 −0.121678
\(345\) 6.71932 + 7.21074i 0.361756 + 0.388213i
\(346\) 2.05062 + 3.55177i 0.110242 + 0.190945i
\(347\) −10.6721 2.85959i −0.572911 0.153511i −0.0392795 0.999228i \(-0.512506\pi\)
−0.533631 + 0.845717i \(0.679173\pi\)
\(348\) 16.9049 + 33.7647i 0.906199 + 1.80998i
\(349\) 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 \(0.285436\pi\)
−0.931192 + 0.364528i \(0.881230\pi\)
\(354\) −21.4083 24.1164i −1.13784 1.28177i
\(355\) 3.57113 + 5.85416i 0.189536 + 0.310707i
\(356\) 12.0093i 0.636491i
\(357\) 6.60357 + 12.3737i 0.349498 + 0.654884i
\(358\) 36.4865 36.4865i 1.92837 1.92837i
\(359\) −13.3858 + 23.1849i −0.706476 + 1.22365i 0.259680 + 0.965695i \(0.416383\pi\)
−0.966156 + 0.257958i \(0.916950\pi\)
\(360\) 29.9248 + 11.1436i 1.57717 + 0.587321i
\(361\) −9.42664 16.3274i −0.496139 0.859338i
\(362\) −14.1579 52.8381i −0.744124 2.77711i
\(363\) −2.38999 1.57616i −0.125442 0.0827272i
\(364\) 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
\(367\) 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
\(369\) 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
\(372\) −2.44139 + 3.70196i −0.126580 + 0.191938i
\(373\) 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
\(375\) 19.3633 0.252546i 0.999915 0.0130414i
\(376\) 6.91249 11.9728i 0.356485 0.617450i
\(377\) 7.08503 7.08503i 0.364898 0.364898i
\(378\) 20.9788 26.1664i 1.07903 1.34586i
\(379\) 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
\(381\) 5.11678 4.54221i 0.262141 0.232704i
\(382\) 11.9344 44.5396i 0.610615 2.27885i
\(383\) 19.4248 5.20486i 0.992561 0.265956i 0.274235 0.961663i \(-0.411575\pi\)
0.718326 + 0.695707i \(0.244909\pi\)
\(384\) 6.94809 + 33.8613i 0.354568 + 1.72798i
\(385\) 6.45965 + 20.0281i 0.329214 + 1.02073i
\(386\) 37.5610i 1.91181i
\(387\) 1.11785 0.879387i 0.0568233 0.0447018i
\(388\) 55.8311 + 14.9599i 2.83440 + 0.759474i
\(389\) 0.689060 + 1.19349i 0.0349368 + 0.0605122i 0.882965 0.469439i \(-0.155544\pi\)
−0.848028 + 0.529951i \(0.822210\pi\)
\(390\) 0.604931 17.1475i 0.0306319 0.868300i
\(391\) −7.78881 −0.393897
\(392\) 22.3031 24.7565i 1.12647 1.25039i
\(393\) −8.41785 + 12.7643i −0.424624 + 0.643872i
\(394\) 1.73943 + 1.00426i 0.0876310 + 0.0505938i
\(395\) −8.29252 + 0.200325i −0.417242 + 0.0100794i
\(396\) 25.2630 33.7592i 1.26951 1.69646i
\(397\) −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
\(399\) 0.397476 + 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 \(0.736176\pi\)
\(402\) 3.21838 54.1032i 0.160518 2.69842i
\(403\) 1.13661 + 0.304555i 0.0566188 + 0.0151710i
\(404\) −0.360703 + 0.624756i −0.0179457 + 0.0310828i
\(405\) −19.1648 + 6.14086i −0.952307 + 0.305142i
\(406\) −31.2936 16.9966i −1.55308 0.843526i
\(407\) 13.0322 13.0322i 0.645981 0.645981i
\(408\) −22.5643 + 11.2973i −1.11710 + 0.559297i
\(409\) −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
\(411\) −6.53920 + 19.6526i −0.322555 + 0.969393i
\(412\) 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
\(417\) 13.8897 + 0.826245i 0.680184 + 0.0404614i
\(418\) 0.860268 + 3.21056i 0.0420771 + 0.157034i
\(419\) 17.2587 0.843141 0.421571 0.906796i \(-0.361479\pi\)
0.421571 + 0.906796i \(0.361479\pi\)
\(420\) −39.2039 + 10.1182i −1.91295 + 0.493718i
\(421\) −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
\(423\) 1.24142 + 8.62399i 0.0603599 + 0.419313i
\(424\) 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
\(429\) −10.6164 3.53248i −0.512563 0.170550i
\(430\) −2.58541 + 0.0624565i −0.124680 + 0.00301192i
\(431\) −17.6840 + 10.2099i −0.851811 + 0.491793i −0.861261 0.508162i \(-0.830325\pi\)
0.00945079 + 0.999955i \(0.496992\pi\)
\(432\) 14.7216 + 12.4464i 0.708294 + 0.598827i
\(433\) 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
\(435\) 10.0253 + 18.8711i 0.480678 + 0.904802i
\(436\) 20.1720 34.9389i 0.966062 1.67327i
\(437\) −0.941550 0.252288i −0.0450404 0.0120685i
\(438\) −13.8474 0.823729i −0.661656 0.0393593i
\(439\) −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
\(441\) −1.40059 + 20.9532i −0.0666948 + 0.997773i
\(442\) 9.58782 + 9.58782i 0.456046 + 0.456046i
\(443\) 9.91074 2.65557i 0.470873 0.126170i −0.0155764 0.999879i \(-0.504958\pi\)
0.486450 + 0.873709i \(0.338292\pi\)
\(444\) 23.5406 + 26.5185i 1.11719 + 1.25851i
\(445\) 0.164129 + 6.79419i 0.00778048 + 0.322076i
\(446\) 28.4176 + 16.4069i 1.34561 + 0.776890i
\(447\) −25.7106 16.9558i −1.21607 0.801981i
\(448\) −16.4370 15.6024i −0.776576 0.737144i
\(449\) 6.70137 0.316257 0.158129 0.987419i \(-0.449454\pi\)
0.158129 + 0.987419i \(0.449454\pi\)
\(450\) 34.5907 + 11.9382i 1.63062 + 0.562770i
\(451\) 17.9766 + 31.1363i 0.846484 + 1.46615i
\(452\) 43.0808 + 11.5435i 2.02635 + 0.542959i
\(453\) −30.8310 + 15.4361i −1.44857 + 0.725253i
\(454\) 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
\(459\) 6.77458 14.3883i 0.316210 0.671589i
\(460\) 5.29324 21.8527i 0.246798 1.01889i
\(461\) 35.1427i 1.63676i 0.574680 + 0.818378i \(0.305127\pi\)
−0.574680 + 0.818378i \(0.694873\pi\)
\(462\) −1.32683 + 39.7437i −0.0617295 + 1.84904i
\(463\) −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
\(465\) −1.33061 + 2.12773i −0.0617056 + 0.0986713i
\(466\) 31.4800 + 54.5250i 1.45828 + 2.52582i
\(467\) 8.03172 + 29.9748i 0.371664 + 1.38707i 0.858159 + 0.513385i \(0.171609\pi\)
−0.486495 + 0.873683i \(0.661725\pi\)
\(468\) 7.99736 19.9862i 0.369678 0.923860i
\(469\) 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
\(472\) −9.40271 + 35.0914i −0.432795 + 1.61521i
\(473\) −0.436473 + 1.62894i −0.0200691 + 0.0748988i
\(474\) −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
\(477\) −3.51047 + 8.77299i −0.160733 + 0.401687i
\(478\) 3.37919 + 12.6113i 0.154560 + 0.576827i
\(479\) −7.30399 12.6509i −0.333728 0.578034i 0.649512 0.760352i \(-0.274973\pi\)
−0.983240 + 0.182318i \(0.941640\pi\)
\(480\) 0.408541 + 1.77247i 0.0186473 + 0.0809019i
\(481\) 4.70466 8.14871i 0.214514 0.371549i
\(482\) −13.8815 + 13.8815i −0.632285 + 0.632285i
\(483\) −9.89939 6.16472i −0.450438 0.280505i
\(484\) 6.53111i 0.296869i
\(485\) 31.7906 + 7.70046i 1.44354 + 0.349660i
\(486\) −38.0048 1.34139i −1.72393 0.0608466i
\(487\) 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 \(-0.735995\pi\)
0.675321 0.737524i \(-0.264005\pi\)
\(492\) −61.8541 + 30.9684i −2.78860 + 1.39617i
\(493\) −16.3113 4.37059i −0.734623 0.196842i
\(494\) 0.848464 + 1.46958i 0.0381742 + 0.0661196i
\(495\) 13.8310 19.4444i 0.621659 0.873960i
\(496\) 2.40395 0.107941
\(497\) −5.88479 5.58598i −0.263969 0.250565i
\(498\) 4.85865 + 3.20421i 0.217721 + 0.143584i
\(499\) −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
\(501\) −9.90118 11.1537i −0.442352 0.498308i
\(502\) −10.0262 + 2.68650i −0.447489 + 0.119904i
\(503\) 9.55454 + 9.55454i 0.426016 + 0.426016i 0.887269 0.461253i \(-0.152600\pi\)
−0.461253 + 0.887269i \(0.652600\pi\)
\(504\) −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
\(507\) 16.7748 + 0.997867i 0.744996 + 0.0443168i
\(508\) −15.0766 4.03977i −0.668917 0.179236i
\(509\) −2.00475 + 3.47233i −0.0888591 + 0.153908i −0.907029 0.421068i \(-0.861655\pi\)
0.818170 + 0.574976i \(0.194989\pi\)
\(510\) −25.5374 + 13.5668i −1.13082 + 0.600748i
\(511\) 7.40665 4.53741i 0.327651 0.200723i
\(512\) 26.2078 26.2078i 1.15823 1.15823i
\(513\) 1.28500 1.51990i 0.0567340 0.0671050i
\(514\) −7.65238 + 4.41811i −0.337532 + 0.194874i
\(515\) 7.86611 + 7.49502i 0.346622 + 0.330270i
\(516\) −3.07867 1.02439i −0.135531 0.0450964i
\(517\) −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 −0.497471 0.867481i \(-0.665738\pi\)
0.502525 + 0.864563i \(0.332404\pi\)
\(522\) 5.75332 + 39.9676i 0.251816 + 1.74933i
\(523\) −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
\(525\) −22.0411 + 6.26012i −0.961953 + 0.273214i
\(526\) 18.8041 0.819897
\(527\) −0.513278 1.91558i −0.0223587 0.0834440i
\(528\) −22.8175 1.35732i −0.993002 0.0590697i
\(529\) −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
\(534\) −4.05459 + 12.1855i −0.175459 + 0.527319i
\(535\) −17.4435 16.6206i −0.754147 0.718570i
\(536\) −52.8785 + 30.5294i −2.28400 + 1.31867i
\(537\) 32.7591 16.4014i 1.41366 0.707775i
\(538\) −33.6458 + 33.6458i −1.45057 + 1.45057i
\(539\) −13.5556 20.8863i −0.583883 0.899636i
\(540\) 35.7646 + 28.7853i 1.53906 + 1.23872i
\(541\) −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
\(543\) 2.30625 38.7697i 0.0989708 1.66377i
\(544\) −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 0.390238 0.920714i \(-0.372393\pi\)
−0.920714 + 0.390238i \(0.872393\pi\)
\(548\) 45.6397 12.2291i 1.94963 0.522402i
\(549\) 19.6271 26.2279i 0.837664 1.11938i
\(550\) −41.3185 + 13.2402i −1.76183 + 0.564565i
\(551\) −1.83022 1.05668i −0.0779699 0.0450160i
\(552\) 11.5515 17.5159i 0.491665 0.745527i
\(553\) 9.41091 2.78625i 0.400193 0.118483i
\(554\) 28.0201 1.19046
\(555\) 13.6804 + 14.6810i 0.580702 + 0.623172i
\(556\) −15.8711 27.4896i −0.673086 1.16582i
\(557\) −18.9058 5.06579i −0.801065 0.214645i −0.165013 0.986291i \(-0.552767\pi\)
−0.636051 + 0.771647i \(0.719433\pi\)
\(558\) −3.72708 + 2.93202i −0.157780 + 0.124122i
\(559\) 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 \(0.286741\pi\)
−0.929690 + 0.368343i \(0.879925\pi\)
\(564\) 14.8646 13.1954i 0.625911 0.555626i
\(565\) 24.5305 + 5.94189i 1.03201 + 0.249977i
\(566\) 59.5602i 2.50350i
\(567\) 19.9985 12.9252i 0.839856 0.542809i
\(568\) 10.3225 10.3225i 0.433122 0.433122i
\(569\) 3.02998 5.24808i 0.127023 0.220011i −0.795499 0.605955i \(-0.792791\pi\)
0.922522 + 0.385944i \(0.126124\pi\)
\(570\) −3.52653 + 0.812838i −0.147710 + 0.0340460i
\(571\) 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
\(573\) 18.0239 27.3303i 0.752961 1.14174i
\(574\) 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
\(577\) −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
\(579\) −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
\(582\) 51.5996 + 34.0292i 2.13887 + 1.41056i
\(583\) −2.89980 10.8222i −0.120098 0.448210i
\(584\) 7.81384 + 13.5340i 0.323339 + 0.560040i
\(585\) 4.25132 11.4164i 0.175770 0.472009i
\(586\) −29.5322 + 51.1512i −1.21996 + 2.11304i
\(587\) −28.9592 + 28.9592i −1.19527 + 1.19527i −0.219708 + 0.975566i \(0.570511\pi\)
−0.975566 + 0.219708i \(0.929489\pi\)
\(588\) 41.6628 23.6487i 1.71815 0.975255i
\(589\) 0.248190i 0.0102265i
\(590\) −9.80075 + 40.4615i −0.403491 + 1.66577i
\(591\) 0.946704 + 1.06646i 0.0389422 + 0.0438682i
\(592\) 4.97521 18.5677i 0.204480 0.763129i
\(593\) −30.1759 + 8.08560i −1.23917 + 0.332036i −0.818146 0.575011i \(-0.804998\pi\)
−0.421029 + 0.907047i \(0.638331\pi\)
\(594\) 37.0316 25.7253i 1.51942 1.05552i
\(595\) 8.25522 16.1155i 0.338431 0.660671i
\(596\) 70.2592i 2.87793i
\(597\) −3.58495 7.16032i −0.146722 0.293052i
\(598\) −10.8901 2.91800i −0.445330 0.119326i
\(599\) 8.18471 + 14.1763i 0.334418 + 0.579229i 0.983373 0.181598i \(-0.0581268\pi\)
−0.648955 + 0.760827i \(0.724794\pi\)
\(600\) −10.2266 39.9358i −0.417499 1.63037i
\(601\) −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
\(603\) 14.2959 35.7269i 0.582175 1.45491i
\(604\) 68.1188 + 39.3284i 2.77171 + 1.60025i
\(605\) 0.0892598 + 3.69494i 0.00362893 + 0.150221i
\(606\) −0.576928 + 0.512143i −0.0234361 + 0.0208044i
\(607\) 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
\(609\) −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
\(612\) −35.9099 + 5.16921i −1.45157 + 0.208953i
\(613\) −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
\(615\) −34.5704 + 18.3656i −1.39401 + 0.740572i
\(616\) 38.2006 23.4022i 1.53915 0.942902i
\(617\) 19.6770 19.6770i 0.792168 0.792168i −0.189679 0.981846i \(-0.560745\pi\)
0.981846 + 0.189679i \(0.0607446\pi\)
\(618\) 9.19168 + 18.3588i 0.369744 + 0.738499i
\(619\) −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
\(621\) 1.10355 + 13.1773i 0.0442840 + 0.528787i
\(622\) 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
\(627\) −0.140133 + 2.35573i −0.00559638 + 0.0940789i
\(628\) 10.5712 + 39.4521i 0.421836 + 1.57431i
\(629\) −15.8579 −0.632296
\(630\) −43.1953 2.96940i −1.72094 0.118304i
\(631\) −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
\(633\) 2.34647 39.4457i 0.0932636 1.56782i
\(634\) −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
\(639\) −1.09071 + 9.13531i −0.0431477 + 0.361387i
\(640\) 30.7838 32.3079i 1.21684 1.27708i
\(641\) 23.0817 13.3263i 0.911674 0.526355i 0.0307047 0.999528i \(-0.490225\pi\)
0.880969 + 0.473173i \(0.156892\pi\)
\(642\) −20.3830 40.7115i −0.804453 1.60676i
\(643\) −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
\(645\) −1.75574 0.537469i −0.0691323 0.0211628i
\(646\) 1.42995 2.47675i 0.0562606 0.0974462i
\(647\) 22.8390 + 6.11969i 0.897893 + 0.240590i 0.678111 0.734959i \(-0.262799\pi\)
0.219782 + 0.975549i \(0.429465\pi\)
\(648\) 22.3100 + 36.5742i 0.876419 + 1.43677i
\(649\) 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
\(653\) 26.2822 7.04229i 1.02850 0.275586i 0.295161 0.955448i \(-0.404627\pi\)
0.733341 + 0.679861i \(0.237960\pi\)
\(654\) 32.2641 28.6411i 1.26163 1.11996i
\(655\) 19.7336 0.476711i 0.771057 0.0186267i
\(656\) 32.4751 + 18.7495i 1.26794 + 0.732046i
\(657\) −9.14410 3.65897i −0.356745 0.142750i
\(658\) −4.37851 + 18.2269i −0.170692 + 0.710557i
\(659\) −43.7515 −1.70432 −0.852158 0.523285i \(-0.824706\pi\)
−0.852158 + 0.523285i \(0.824706\pi\)
\(660\) −54.4012 1.91917i −2.11756 0.0747034i
\(661\) −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
\(663\) 4.30993 + 8.60834i 0.167384 + 0.334320i
\(664\) 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
\(669\) 15.4666 + 17.4231i 0.597975 + 0.673617i
\(670\) −59.7336 + 36.4384i −2.30771 + 1.40774i
\(671\) 38.8418i 1.49947i
\(672\) −1.01331 1.89873i −0.0390894 0.0732451i
\(673\) 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
\(675\) 20.6270 + 15.7964i 0.793935 + 0.608002i
\(676\) −19.1678 33.1996i −0.737222 1.27691i
\(677\) 1.40139 + 5.23005i 0.0538597 + 0.201007i 0.987613 0.156911i \(-0.0501535\pi\)
−0.933753 + 0.357918i \(0.883487\pi\)
\(678\) 39.8157 + 26.2579i 1.52911 + 1.00843i
\(679\) −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
\(682\) 1.45527 5.43115i 0.0557253 0.207970i
\(683\) 1.84721 6.89389i 0.0706817 0.263788i −0.921538 0.388289i \(-0.873066\pi\)
0.992219 + 0.124501i \(0.0397330\pi\)
\(684\) −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
\(687\) 24.3196 36.8766i 0.927850 1.40693i
\(688\) 0.455240 + 1.69898i 0.0173559 + 0.0647730i
\(689\) −2.86001 4.95369i −0.108958 0.188721i
\(690\) 12.7488 20.3862i 0.485340 0.776090i
\(691\) 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
\(693\) −9.80279 + 26.4771i −0.372377 + 1.00578i
\(694\) 26.9534i 1.02314i
\(695\) −9.35472 15.3352i −0.354845 0.581698i
\(696\) 34.0199 30.1998i 1.28952 1.14472i
\(697\) 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 \(-0.854153\pi\)
0.896854 0.442327i \(-0.145847\pi\)
\(702\) 14.8625 17.5794i 0.560948 0.663490i
\(703\) −1.91698 0.513653i −0.0723003 0.0193728i
\(704\) −15.2347 26.3872i −0.574178 0.994506i
\(705\) 8.22921 7.66838i 0.309930 0.288808i
\(706\) 54.3705 2.04626
\(707\) 0.112830 0.469687i 0.00424339 0.0176644i
\(708\) −28.7556 + 43.6031i −1.08070 + 1.63870i
\(709\) −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
\(711\) −8.91020 6.66776i −0.334159 0.250061i
\(712\) 13.9749 3.74455i 0.523730 0.140333i
\(713\) 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
\(717\) −0.550452 + 9.25347i −0.0205570 + 0.345577i
\(718\) 63.0846 + 16.9035i 2.35430 + 0.630832i
\(719\) 22.9885 39.8173i 0.857328 1.48494i −0.0171399 0.999853i \(-0.505456\pi\)
0.874468 0.485083i \(-0.161211\pi\)
\(720\) 2.35283 24.7762i 0.0876849 0.923355i
\(721\) −11.2971 6.13579i −0.420724 0.228509i
\(722\) −32.5220 + 32.5220i −1.21034 + 1.21034i
\(723\) −12.4634 + 6.24002i −0.463518 + 0.232069i
\(724\) −76.7303 + 44.3002i −2.85166 + 1.64641i
\(725\) 12.6238 24.5293i 0.468837 0.910994i
\(726\) −2.20504 + 6.62695i −0.0818369 + 0.245949i
\(727\) 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
\(732\) −74.5994 4.43762i −2.75727 0.164019i
\(733\) −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
\(735\) 23.2473 13.9485i 0.857491 0.514499i
\(736\) 1.19519 0.0440552
\(737\) 11.8091 + 44.0721i 0.434993 + 1.62342i
\(738\) −73.2174 + 10.5396i −2.69517 + 0.387968i
\(739\) 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 \(0.100666\pi\)
0.311007 + 0.950408i \(0.399334\pi\)
\(744\) 5.06911 + 1.68669i 0.185842 + 0.0618370i
\(745\) 0.960223 + 39.7488i 0.0351799 + 1.45628i
\(746\) 22.1642 12.7965i 0.811490 0.468514i
\(747\) 2.55492 + 3.24773i 0.0934798 + 0.118828i
\(748\) 30.4177 30.4177i 1.11218 1.11218i
\(749\) 25.0518 + 13.6064i 0.915372 + 0.497168i
\(750\) −12.8210 45.4681i −0.468156 1.66026i
\(751\) −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
\(753\) −7.35664 0.437617i −0.268091 0.0159477i
\(754\) −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 0.231086 0.972933i \(-0.425772\pi\)
−0.972933 + 0.231086i \(0.925772\pi\)
\(758\) −52.0174 + 13.9380i −1.88936 + 0.506252i
\(759\) −10.4088 11.7255i −0.377816 0.425609i
\(760\) 2.95169 + 2.81245i 0.107069 + 0.102018i
\(761\) −25.7320 14.8564i −0.932785 0.538544i −0.0450939 0.998983i