Properties

Label 91.2.ba.a.45.2
Level $91$
Weight $2$
Character 91.45
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 45.2
Character \(\chi\) \(=\) 91.45
Dual form 91.2.ba.a.89.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984398 + 0.984398i) q^{2} +(-1.25446 + 0.724265i) q^{3} +0.0619199i q^{4} +(-0.172312 + 0.643078i) q^{5} +(0.521927 - 1.94786i) q^{6} +(-2.46519 - 0.960657i) q^{7} +(-2.02975 - 2.02975i) q^{8} +(-0.450880 + 0.780947i) q^{9} +O(q^{10})\) \(q+(-0.984398 + 0.984398i) q^{2} +(-1.25446 + 0.724265i) q^{3} +0.0619199i q^{4} +(-0.172312 + 0.643078i) q^{5} +(0.521927 - 1.94786i) q^{6} +(-2.46519 - 0.960657i) q^{7} +(-2.02975 - 2.02975i) q^{8} +(-0.450880 + 0.780947i) q^{9} +(-0.463421 - 0.802669i) q^{10} +(-1.24780 + 4.65687i) q^{11} +(-0.0448464 - 0.0776763i) q^{12} +(3.60544 - 0.0282257i) q^{13} +(3.37239 - 1.48106i) q^{14} +(-0.249600 - 0.931519i) q^{15} +3.87233 q^{16} +0.467904 q^{17} +(-0.324918 - 1.21261i) q^{18} +(3.26172 - 0.873976i) q^{19} +(-0.0398194 - 0.0106696i) q^{20} +(3.78826 - 0.580338i) q^{21} +(-3.35587 - 5.81255i) q^{22} +6.95512i q^{23} +(4.01633 + 1.07617i) q^{24} +(3.94627 + 2.27838i) q^{25} +(-3.52140 + 3.57698i) q^{26} -5.65182i q^{27} +(0.0594838 - 0.152644i) q^{28} +(-2.01911 + 3.49720i) q^{29} +(1.16269 + 0.671280i) q^{30} +(-4.10087 + 1.09883i) q^{31} +(0.247590 - 0.247590i) q^{32} +(-1.80748 - 6.74561i) q^{33} +(-0.460604 + 0.460604i) q^{34} +(1.04256 - 1.41977i) q^{35} +(-0.0483562 - 0.0279185i) q^{36} +(-2.38729 - 2.38729i) q^{37} +(-2.35049 + 4.07117i) q^{38} +(-4.50245 + 2.64670i) q^{39} +(1.65504 - 0.955538i) q^{40} +(3.68025 - 0.986119i) q^{41} +(-3.15787 + 4.30044i) q^{42} +(3.42191 - 1.97564i) q^{43} +(-0.288353 - 0.0772639i) q^{44} +(-0.424518 - 0.424518i) q^{45} +(-6.84661 - 6.84661i) q^{46} +(-9.64648 - 2.58477i) q^{47} +(-4.85769 + 2.80459i) q^{48} +(5.15428 + 4.73639i) q^{49} +(-6.12753 + 1.64187i) q^{50} +(-0.586968 + 0.338886i) q^{51} +(0.00174773 + 0.223249i) q^{52} +(2.20051 - 3.81140i) q^{53} +(5.56364 + 5.56364i) q^{54} +(-2.77972 - 1.60487i) q^{55} +(3.05382 + 6.95360i) q^{56} +(-3.45872 + 3.45872i) q^{57} +(-1.45503 - 5.43025i) q^{58} +(4.33306 - 4.33306i) q^{59} +(0.0576796 - 0.0154552i) q^{60} +(4.21802 + 2.43528i) q^{61} +(2.95521 - 5.11858i) q^{62} +(1.86173 - 1.49204i) q^{63} +8.23211i q^{64} +(-0.603111 + 2.32344i) q^{65} +(8.41965 + 4.86109i) q^{66} +(-9.03697 - 2.42145i) q^{67} +0.0289726i q^{68} +(-5.03735 - 8.72495i) q^{69} +(0.371330 + 2.42392i) q^{70} +(3.19935 + 0.857263i) q^{71} +(2.50030 - 0.669954i) q^{72} +(-0.0301918 - 0.112678i) q^{73} +4.70008 q^{74} -6.60060 q^{75} +(0.0541165 + 0.201966i) q^{76} +(7.54972 - 10.2813i) q^{77} +(1.82680 - 7.03762i) q^{78} +(0.194920 + 0.337611i) q^{79} +(-0.667250 + 2.49021i) q^{80} +(2.74077 + 4.74716i) q^{81} +(-2.65209 + 4.59356i) q^{82} +(11.5572 + 11.5572i) q^{83} +(0.0359345 + 0.234569i) q^{84} +(-0.0806256 + 0.300899i) q^{85} +(-1.42371 + 5.31334i) q^{86} -5.84949i q^{87} +(11.9850 - 6.91955i) q^{88} +(6.83819 - 6.83819i) q^{89} +0.835790 q^{90} +(-8.91519 - 3.39401i) q^{91} -0.430661 q^{92} +(4.34856 - 4.34856i) q^{93} +(12.0404 - 6.95154i) q^{94} +2.24814i q^{95} +(-0.131272 + 0.489913i) q^{96} +(-4.61378 + 17.2188i) q^{97} +(-9.73636 + 0.411364i) q^{98} +(-3.07416 - 3.07416i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984398 + 0.984398i −0.696075 + 0.696075i −0.963562 0.267487i \(-0.913807\pi\)
0.267487 + 0.963562i \(0.413807\pi\)
\(3\) −1.25446 + 0.724265i −0.724265 + 0.418155i −0.816320 0.577599i \(-0.803990\pi\)
0.0920554 + 0.995754i \(0.470656\pi\)
\(4\) 0.0619199i 0.0309600i
\(5\) −0.172312 + 0.643078i −0.0770604 + 0.287593i −0.993693 0.112138i \(-0.964230\pi\)
0.916632 + 0.399732i \(0.130897\pi\)
\(6\) 0.521927 1.94786i 0.213076 0.795210i
\(7\) −2.46519 0.960657i −0.931752 0.363094i
\(8\) −2.02975 2.02975i −0.717625 0.717625i
\(9\) −0.450880 + 0.780947i −0.150293 + 0.260316i
\(10\) −0.463421 0.802669i −0.146547 0.253826i
\(11\) −1.24780 + 4.65687i −0.376227 + 1.40410i 0.475317 + 0.879815i \(0.342333\pi\)
−0.851544 + 0.524283i \(0.824333\pi\)
\(12\) −0.0448464 0.0776763i −0.0129461 0.0224232i
\(13\) 3.60544 0.0282257i 0.999969 0.00782840i
\(14\) 3.37239 1.48106i 0.901310 0.395829i
\(15\) −0.249600 0.931519i −0.0644463 0.240517i
\(16\) 3.87233 0.968082
\(17\) 0.467904 0.113483 0.0567417 0.998389i \(-0.481929\pi\)
0.0567417 + 0.998389i \(0.481929\pi\)
\(18\) −0.324918 1.21261i −0.0765838 0.285815i
\(19\) 3.26172 0.873976i 0.748290 0.200504i 0.135531 0.990773i \(-0.456726\pi\)
0.612760 + 0.790269i \(0.290059\pi\)
\(20\) −0.0398194 0.0106696i −0.00890388 0.00238579i
\(21\) 3.78826 0.580338i 0.826665 0.126640i
\(22\) −3.35587 5.81255i −0.715475 1.23924i
\(23\) 6.95512i 1.45024i 0.688621 + 0.725122i \(0.258217\pi\)
−0.688621 + 0.725122i \(0.741783\pi\)
\(24\) 4.01633 + 1.07617i 0.819829 + 0.219673i
\(25\) 3.94627 + 2.27838i 0.789254 + 0.455676i
\(26\) −3.52140 + 3.57698i −0.690604 + 0.701503i
\(27\) 5.65182i 1.08769i
\(28\) 0.0594838 0.152644i 0.0112414 0.0288470i
\(29\) −2.01911 + 3.49720i −0.374940 + 0.649414i −0.990318 0.138817i \(-0.955670\pi\)
0.615378 + 0.788232i \(0.289003\pi\)
\(30\) 1.16269 + 0.671280i 0.212277 + 0.122558i
\(31\) −4.10087 + 1.09883i −0.736539 + 0.197355i −0.607539 0.794290i \(-0.707843\pi\)
−0.129000 + 0.991645i \(0.541177\pi\)
\(32\) 0.247590 0.247590i 0.0437681 0.0437681i
\(33\) −1.80748 6.74561i −0.314642 1.17426i
\(34\) −0.460604 + 0.460604i −0.0789929 + 0.0789929i
\(35\) 1.04256 1.41977i 0.176225 0.239986i
\(36\) −0.0483562 0.0279185i −0.00805937 0.00465308i
\(37\) −2.38729 2.38729i −0.392467 0.392467i 0.483099 0.875566i \(-0.339511\pi\)
−0.875566 + 0.483099i \(0.839511\pi\)
\(38\) −2.35049 + 4.07117i −0.381300 + 0.660432i
\(39\) −4.50245 + 2.64670i −0.720969 + 0.423812i
\(40\) 1.65504 0.955538i 0.261685 0.151084i
\(41\) 3.68025 0.986119i 0.574758 0.154006i 0.0402801 0.999188i \(-0.487175\pi\)
0.534478 + 0.845182i \(0.320508\pi\)
\(42\) −3.15787 + 4.30044i −0.487270 + 0.663572i
\(43\) 3.42191 1.97564i 0.521836 0.301282i −0.215849 0.976427i \(-0.569252\pi\)
0.737686 + 0.675144i \(0.235919\pi\)
\(44\) −0.288353 0.0772639i −0.0434708 0.0116480i
\(45\) −0.424518 0.424518i −0.0632834 0.0632834i
\(46\) −6.84661 6.84661i −1.00948 1.00948i
\(47\) −9.64648 2.58477i −1.40708 0.377027i −0.526201 0.850360i \(-0.676384\pi\)
−0.880883 + 0.473333i \(0.843051\pi\)
\(48\) −4.85769 + 2.80459i −0.701148 + 0.404808i
\(49\) 5.15428 + 4.73639i 0.736325 + 0.676628i
\(50\) −6.12753 + 1.64187i −0.866564 + 0.232195i
\(51\) −0.586968 + 0.338886i −0.0821920 + 0.0474536i
\(52\) 0.00174773 + 0.223249i 0.000242367 + 0.0309590i
\(53\) 2.20051 3.81140i 0.302264 0.523537i −0.674384 0.738380i \(-0.735591\pi\)
0.976648 + 0.214844i \(0.0689243\pi\)
\(54\) 5.56364 + 5.56364i 0.757115 + 0.757115i
\(55\) −2.77972 1.60487i −0.374817 0.216401i
\(56\) 3.05382 + 6.95360i 0.408084 + 0.929214i
\(57\) −3.45872 + 3.45872i −0.458119 + 0.458119i
\(58\) −1.45503 5.43025i −0.191055 0.713027i
\(59\) 4.33306 4.33306i 0.564117 0.564117i −0.366358 0.930474i \(-0.619395\pi\)
0.930474 + 0.366358i \(0.119395\pi\)
\(60\) 0.0576796 0.0154552i 0.00744640 0.00199526i
\(61\) 4.21802 + 2.43528i 0.540062 + 0.311805i 0.745104 0.666948i \(-0.232400\pi\)
−0.205042 + 0.978753i \(0.565733\pi\)
\(62\) 2.95521 5.11858i 0.375312 0.650060i
\(63\) 1.86173 1.49204i 0.234555 0.187979i
\(64\) 8.23211i 1.02901i
\(65\) −0.603111 + 2.32344i −0.0748067 + 0.288188i
\(66\) 8.41965 + 4.86109i 1.03639 + 0.598358i
\(67\) −9.03697 2.42145i −1.10404 0.295827i −0.339633 0.940558i \(-0.610303\pi\)
−0.764409 + 0.644731i \(0.776969\pi\)
\(68\) 0.0289726i 0.00351344i
\(69\) −5.03735 8.72495i −0.606426 1.05036i
\(70\) 0.371330 + 2.42392i 0.0443824 + 0.289714i
\(71\) 3.19935 + 0.857263i 0.379693 + 0.101738i 0.443617 0.896216i \(-0.353695\pi\)
−0.0639244 + 0.997955i \(0.520362\pi\)
\(72\) 2.50030 0.669954i 0.294663 0.0789548i
\(73\) −0.0301918 0.112678i −0.00353369 0.0131879i 0.964136 0.265407i \(-0.0855063\pi\)
−0.967670 + 0.252219i \(0.918840\pi\)
\(74\) 4.70008 0.546373
\(75\) −6.60060 −0.762172
\(76\) 0.0541165 + 0.201966i 0.00620759 + 0.0231670i
\(77\) 7.54972 10.2813i 0.860370 1.17167i
\(78\) 1.82680 7.03762i 0.206844 0.796853i
\(79\) 0.194920 + 0.337611i 0.0219302 + 0.0379842i 0.876782 0.480888i \(-0.159686\pi\)
−0.854852 + 0.518872i \(0.826352\pi\)
\(80\) −0.667250 + 2.49021i −0.0746008 + 0.278414i
\(81\) 2.74077 + 4.74716i 0.304530 + 0.527462i
\(82\) −2.65209 + 4.59356i −0.292875 + 0.507274i
\(83\) 11.5572 + 11.5572i 1.26857 + 1.26857i 0.946828 + 0.321741i \(0.104268\pi\)
0.321741 + 0.946828i \(0.395732\pi\)
\(84\) 0.0359345 + 0.234569i 0.00392078 + 0.0255935i
\(85\) −0.0806256 + 0.300899i −0.00874507 + 0.0326371i
\(86\) −1.42371 + 5.31334i −0.153522 + 0.572952i
\(87\) 5.84949i 0.627131i
\(88\) 11.9850 6.91955i 1.27761 0.737626i
\(89\) 6.83819 6.83819i 0.724847 0.724847i −0.244742 0.969588i \(-0.578703\pi\)
0.969588 + 0.244742i \(0.0787031\pi\)
\(90\) 0.835790 0.0881000
\(91\) −8.91519 3.39401i −0.934566 0.355789i
\(92\) −0.430661 −0.0448995
\(93\) 4.34856 4.34856i 0.450924 0.450924i
\(94\) 12.0404 6.95154i 1.24187 0.716997i
\(95\) 2.24814i 0.230654i
\(96\) −0.131272 + 0.489913i −0.0133979 + 0.0500015i
\(97\) −4.61378 + 17.2188i −0.468458 + 1.74831i 0.176705 + 0.984264i \(0.443456\pi\)
−0.645163 + 0.764045i \(0.723210\pi\)
\(98\) −9.73636 + 0.411364i −0.983521 + 0.0415540i
\(99\) −3.07416 3.07416i −0.308964 0.308964i
\(100\) −0.141077 + 0.244353i −0.0141077 + 0.0244353i
\(101\) −5.57293 9.65259i −0.554527 0.960469i −0.997940 0.0641517i \(-0.979566\pi\)
0.443413 0.896317i \(-0.353767\pi\)
\(102\) 0.244212 0.911410i 0.0241805 0.0902430i
\(103\) 3.73616 + 6.47122i 0.368135 + 0.637628i 0.989274 0.146072i \(-0.0466632\pi\)
−0.621139 + 0.783700i \(0.713330\pi\)
\(104\) −7.37544 7.26085i −0.723221 0.711985i
\(105\) −0.279560 + 2.53615i −0.0272823 + 0.247502i
\(106\) 1.58576 + 5.91812i 0.154022 + 0.574819i
\(107\) −4.15105 −0.401297 −0.200649 0.979663i \(-0.564305\pi\)
−0.200649 + 0.979663i \(0.564305\pi\)
\(108\) 0.349960 0.0336749
\(109\) −1.59208 5.94172i −0.152493 0.569113i −0.999307 0.0372233i \(-0.988149\pi\)
0.846814 0.531890i \(-0.178518\pi\)
\(110\) 4.31618 1.15652i 0.411532 0.110270i
\(111\) 4.72379 + 1.26574i 0.448363 + 0.120138i
\(112\) −9.54600 3.71998i −0.902012 0.351505i
\(113\) −0.554932 0.961171i −0.0522036 0.0904194i 0.838743 0.544528i \(-0.183291\pi\)
−0.890946 + 0.454109i \(0.849958\pi\)
\(114\) 6.80952i 0.637770i
\(115\) −4.47269 1.19845i −0.417080 0.111756i
\(116\) −0.216547 0.125023i −0.0201058 0.0116081i
\(117\) −1.60358 + 2.82839i −0.148251 + 0.261484i
\(118\) 8.53092i 0.785335i
\(119\) −1.15347 0.449495i −0.105738 0.0412051i
\(120\) −1.38413 + 2.39738i −0.126353 + 0.218849i
\(121\) −10.6031 6.12170i −0.963918 0.556519i
\(122\) −6.54950 + 1.75493i −0.592963 + 0.158884i
\(123\) −3.90253 + 3.90253i −0.351879 + 0.351879i
\(124\) −0.0680392 0.253926i −0.00611010 0.0228032i
\(125\) −4.49900 + 4.49900i −0.402403 + 0.402403i
\(126\) −0.363919 + 3.30144i −0.0324205 + 0.294116i
\(127\) 17.2552 + 9.96228i 1.53115 + 0.884009i 0.999309 + 0.0371647i \(0.0118326\pi\)
0.531840 + 0.846845i \(0.321501\pi\)
\(128\) −7.60849 7.60849i −0.672502 0.672502i
\(129\) −2.86178 + 4.95674i −0.251965 + 0.436417i
\(130\) −1.69349 2.88090i −0.148529 0.252671i
\(131\) 6.61385 3.81851i 0.577855 0.333625i −0.182426 0.983220i \(-0.558395\pi\)
0.760280 + 0.649595i \(0.225062\pi\)
\(132\) 0.417688 0.111919i 0.0363550 0.00974131i
\(133\) −8.88034 0.978883i −0.770023 0.0848799i
\(134\) 11.2797 6.51231i 0.974414 0.562578i
\(135\) 3.63456 + 0.973878i 0.312813 + 0.0838181i
\(136\) −0.949728 0.949728i −0.0814385 0.0814385i
\(137\) 9.31142 + 9.31142i 0.795528 + 0.795528i 0.982387 0.186859i \(-0.0598306\pi\)
−0.186859 + 0.982387i \(0.559831\pi\)
\(138\) 13.5476 + 3.63007i 1.15325 + 0.309012i
\(139\) −14.9082 + 8.60724i −1.26449 + 0.730056i −0.973941 0.226802i \(-0.927173\pi\)
−0.290554 + 0.956859i \(0.593839\pi\)
\(140\) 0.0879123 + 0.0645552i 0.00742995 + 0.00545591i
\(141\) 13.9732 3.74411i 1.17676 0.315311i
\(142\) −3.99332 + 2.30555i −0.335112 + 0.193477i
\(143\) −4.36744 + 16.8253i −0.365223 + 1.40700i
\(144\) −1.74595 + 3.02408i −0.145496 + 0.252007i
\(145\) −1.90106 1.90106i −0.157874 0.157874i
\(146\) 0.140640 + 0.0811987i 0.0116395 + 0.00672006i
\(147\) −9.89626 2.20857i −0.816230 0.182160i
\(148\) 0.147821 0.147821i 0.0121508 0.0121508i
\(149\) 0.973843 + 3.63443i 0.0797804 + 0.297744i 0.994275 0.106854i \(-0.0340779\pi\)
−0.914494 + 0.404599i \(0.867411\pi\)
\(150\) 6.49762 6.49762i 0.530529 0.530529i
\(151\) 7.30304 1.95684i 0.594313 0.159246i 0.0508895 0.998704i \(-0.483794\pi\)
0.543424 + 0.839459i \(0.317128\pi\)
\(152\) −8.39443 4.84653i −0.680879 0.393105i
\(153\) −0.210968 + 0.365408i −0.0170558 + 0.0295415i
\(154\) 2.68899 + 17.5528i 0.216685 + 1.41445i
\(155\) 2.82653i 0.227032i
\(156\) −0.163884 0.278792i −0.0131212 0.0223212i
\(157\) −21.3379 12.3194i −1.70295 0.983199i −0.942744 0.333518i \(-0.891764\pi\)
−0.760207 0.649681i \(-0.774903\pi\)
\(158\) −0.524222 0.140465i −0.0417049 0.0111748i
\(159\) 6.37502i 0.505572i
\(160\) 0.116557 + 0.201882i 0.00921463 + 0.0159602i
\(161\) 6.68149 17.1457i 0.526575 1.35127i
\(162\) −7.37111 1.97508i −0.579129 0.155177i
\(163\) 20.0547 5.37364i 1.57081 0.420896i 0.634742 0.772724i \(-0.281107\pi\)
0.936065 + 0.351828i \(0.114440\pi\)
\(164\) 0.0610604 + 0.227881i 0.00476802 + 0.0177945i
\(165\) 4.64941 0.361956
\(166\) −22.7538 −1.76604
\(167\) −4.53457 16.9233i −0.350896 1.30956i −0.885571 0.464503i \(-0.846233\pi\)
0.534676 0.845057i \(-0.320434\pi\)
\(168\) −8.86716 6.51127i −0.684116 0.502356i
\(169\) 12.9984 0.203532i 0.999877 0.0156563i
\(170\) −0.216837 0.375572i −0.0166306 0.0288051i
\(171\) −0.788117 + 2.94129i −0.0602688 + 0.224926i
\(172\) 0.122332 + 0.211884i 0.00932769 + 0.0161560i
\(173\) 2.96030 5.12740i 0.225068 0.389829i −0.731272 0.682086i \(-0.761073\pi\)
0.956340 + 0.292257i \(0.0944063\pi\)
\(174\) 5.75823 + 5.75823i 0.436530 + 0.436530i
\(175\) −7.53954 9.40764i −0.569936 0.711150i
\(176\) −4.83190 + 18.0329i −0.364218 + 1.35928i
\(177\) −2.29738 + 8.57396i −0.172682 + 0.644458i
\(178\) 13.4630i 1.00910i
\(179\) 3.26505 1.88508i 0.244041 0.140897i −0.372992 0.927835i \(-0.621668\pi\)
0.617033 + 0.786938i \(0.288335\pi\)
\(180\) 0.0262861 0.0262861i 0.00195925 0.00195925i
\(181\) 5.68899 0.422859 0.211430 0.977393i \(-0.432188\pi\)
0.211430 + 0.977393i \(0.432188\pi\)
\(182\) 12.1172 5.43505i 0.898184 0.402872i
\(183\) −7.05514 −0.521531
\(184\) 14.1172 14.1172i 1.04073 1.04073i
\(185\) 1.94657 1.12385i 0.143115 0.0826273i
\(186\) 8.56143i 0.627754i
\(187\) −0.583852 + 2.17896i −0.0426955 + 0.159342i
\(188\) 0.160049 0.597309i 0.0116727 0.0435633i
\(189\) −5.42946 + 13.9328i −0.394935 + 1.01346i
\(190\) −2.21307 2.21307i −0.160553 0.160553i
\(191\) 4.58382 7.93941i 0.331674 0.574476i −0.651167 0.758935i \(-0.725720\pi\)
0.982840 + 0.184459i \(0.0590534\pi\)
\(192\) −5.96223 10.3269i −0.430287 0.745278i
\(193\) −6.57695 + 24.5455i −0.473419 + 1.76682i 0.153926 + 0.988082i \(0.450808\pi\)
−0.627345 + 0.778742i \(0.715858\pi\)
\(194\) −12.4084 21.4920i −0.890872 1.54304i
\(195\) −0.926209 3.35149i −0.0663272 0.240005i
\(196\) −0.293277 + 0.319152i −0.0209484 + 0.0227966i
\(197\) −0.371638 1.38697i −0.0264781 0.0988175i 0.951422 0.307889i \(-0.0996225\pi\)
−0.977900 + 0.209071i \(0.932956\pi\)
\(198\) 6.05239 0.430125
\(199\) 11.0158 0.780892 0.390446 0.920626i \(-0.372321\pi\)
0.390446 + 0.920626i \(0.372321\pi\)
\(200\) −3.38540 12.6345i −0.239384 0.893393i
\(201\) 13.0903 3.50754i 0.923321 0.247403i
\(202\) 14.9880 + 4.01602i 1.05455 + 0.282566i
\(203\) 8.33710 6.68158i 0.585149 0.468955i
\(204\) −0.0209838 0.0363450i −0.00146916 0.00254466i
\(205\) 2.53661i 0.177164i
\(206\) −10.0481 2.69239i −0.700086 0.187588i
\(207\) −5.43158 3.13593i −0.377521 0.217962i
\(208\) 13.9614 0.109299i 0.968052 0.00757853i
\(209\) 16.2800i 1.12611i
\(210\) −2.22138 2.77178i −0.153290 0.191271i
\(211\) 11.5485 20.0025i 0.795029 1.37703i −0.127792 0.991801i \(-0.540789\pi\)
0.922821 0.385229i \(-0.125878\pi\)
\(212\) 0.236002 + 0.136256i 0.0162087 + 0.00935808i
\(213\) −4.63435 + 1.24177i −0.317541 + 0.0850848i
\(214\) 4.08629 4.08629i 0.279333 0.279333i
\(215\) 0.680855 + 2.54098i 0.0464339 + 0.173294i
\(216\) −11.4718 + 11.4718i −0.780556 + 0.780556i
\(217\) 11.1650 + 1.23072i 0.757930 + 0.0835469i
\(218\) 7.41625 + 4.28178i 0.502292 + 0.289998i
\(219\) 0.119483 + 0.119483i 0.00807391 + 0.00807391i
\(220\) 0.0993735 0.172120i 0.00669976 0.0116043i
\(221\) 1.68700 0.0132069i 0.113480 0.000888393i
\(222\) −5.89608 + 3.40410i −0.395719 + 0.228469i
\(223\) −3.57776 + 0.958657i −0.239584 + 0.0641964i −0.376613 0.926371i \(-0.622911\pi\)
0.137029 + 0.990567i \(0.456245\pi\)
\(224\) −0.848203 + 0.372506i −0.0566730 + 0.0248891i
\(225\) −3.55859 + 2.05455i −0.237239 + 0.136970i
\(226\) 1.49245 + 0.399901i 0.0992763 + 0.0266010i
\(227\) 17.0467 + 17.0467i 1.13143 + 1.13143i 0.989939 + 0.141493i \(0.0451902\pi\)
0.141493 + 0.989939i \(0.454810\pi\)
\(228\) −0.214164 0.214164i −0.0141833 0.0141833i
\(229\) 18.0095 + 4.82564i 1.19010 + 0.318887i 0.798926 0.601429i \(-0.205402\pi\)
0.391176 + 0.920316i \(0.372068\pi\)
\(230\) 5.58266 3.22315i 0.368110 0.212528i
\(231\) −2.02444 + 18.3655i −0.133198 + 1.20836i
\(232\) 11.1967 3.00016i 0.735102 0.196970i
\(233\) −3.91672 + 2.26132i −0.256593 + 0.148144i −0.622779 0.782398i \(-0.713997\pi\)
0.366187 + 0.930541i \(0.380663\pi\)
\(234\) −1.20570 4.36282i −0.0788189 0.285206i
\(235\) 3.32442 5.75806i 0.216861 0.375614i
\(236\) 0.268303 + 0.268303i 0.0174650 + 0.0174650i
\(237\) −0.489040 0.282347i −0.0317665 0.0183404i
\(238\) 1.57796 0.692991i 0.102284 0.0449200i
\(239\) −11.1608 + 11.1608i −0.721931 + 0.721931i −0.968998 0.247067i \(-0.920533\pi\)
0.247067 + 0.968998i \(0.420533\pi\)
\(240\) −0.966531 3.60714i −0.0623893 0.232840i
\(241\) −5.35165 + 5.35165i −0.344730 + 0.344730i −0.858142 0.513412i \(-0.828381\pi\)
0.513412 + 0.858142i \(0.328381\pi\)
\(242\) 16.4639 4.41148i 1.05834 0.283581i
\(243\) 7.80745 + 4.50763i 0.500848 + 0.289165i
\(244\) −0.150792 + 0.261180i −0.00965348 + 0.0167203i
\(245\) −3.93402 + 2.49847i −0.251335 + 0.159621i
\(246\) 7.68328i 0.489868i
\(247\) 11.7353 3.24313i 0.746698 0.206356i
\(248\) 10.5541 + 6.09341i 0.670186 + 0.386932i
\(249\) −22.8686 6.12762i −1.44924 0.388322i
\(250\) 8.85761i 0.560205i
\(251\) −10.6165 18.3883i −0.670106 1.16066i −0.977874 0.209197i \(-0.932915\pi\)
0.307767 0.951462i \(-0.400418\pi\)
\(252\) 0.0923869 + 0.115278i 0.00581983 + 0.00726182i
\(253\) −32.3891 8.67863i −2.03628 0.545621i
\(254\) −26.7928 + 7.17911i −1.68113 + 0.450458i
\(255\) −0.116789 0.435861i −0.00731359 0.0272947i
\(256\) −1.48464 −0.0927899
\(257\) −25.2410 −1.57449 −0.787245 0.616640i \(-0.788494\pi\)
−0.787245 + 0.616640i \(0.788494\pi\)
\(258\) −2.06228 7.69653i −0.128392 0.479165i
\(259\) 3.59174 + 8.17846i 0.223180 + 0.508185i
\(260\) −0.143868 0.0373446i −0.00892229 0.00231601i
\(261\) −1.82075 3.15364i −0.112702 0.195205i
\(262\) −2.75173 + 10.2696i −0.170002 + 0.634458i
\(263\) −0.152018 0.263302i −0.00937381 0.0162359i 0.861300 0.508096i \(-0.169650\pi\)
−0.870674 + 0.491860i \(0.836317\pi\)
\(264\) −10.0232 + 17.3606i −0.616884 + 1.06847i
\(265\) 2.07186 + 2.07186i 0.127273 + 0.127273i
\(266\) 9.70540 7.77818i 0.595076 0.476911i
\(267\) −3.62560 + 13.5309i −0.221883 + 0.828079i
\(268\) 0.149936 0.559569i 0.00915880 0.0341811i
\(269\) 17.9385i 1.09373i −0.837221 0.546865i \(-0.815821\pi\)
0.837221 0.546865i \(-0.184179\pi\)
\(270\) −4.53654 + 2.61917i −0.276085 + 0.159398i
\(271\) −9.18147 + 9.18147i −0.557734 + 0.557734i −0.928662 0.370927i \(-0.879040\pi\)
0.370927 + 0.928662i \(0.379040\pi\)
\(272\) 1.81188 0.109861
\(273\) 13.6420 2.19930i 0.825649 0.133108i
\(274\) −18.3323 −1.10749
\(275\) −15.5343 + 15.5343i −0.936752 + 0.936752i
\(276\) 0.540248 0.311913i 0.0325191 0.0187749i
\(277\) 6.21287i 0.373295i 0.982427 + 0.186648i \(0.0597623\pi\)
−0.982427 + 0.186648i \(0.940238\pi\)
\(278\) 6.20263 23.1485i 0.372009 1.38836i
\(279\) 0.990877 3.69801i 0.0593223 0.221394i
\(280\) −4.99792 + 0.765652i −0.298683 + 0.0457565i
\(281\) 1.72841 + 1.72841i 0.103108 + 0.103108i 0.756779 0.653671i \(-0.226772\pi\)
−0.653671 + 0.756779i \(0.726772\pi\)
\(282\) −10.0695 + 17.4409i −0.599631 + 1.03859i
\(283\) −9.00809 15.6025i −0.535475 0.927471i −0.999140 0.0414599i \(-0.986799\pi\)
0.463665 0.886011i \(-0.346534\pi\)
\(284\) −0.0530817 + 0.198103i −0.00314982 + 0.0117553i
\(285\) −1.62825 2.82021i −0.0964492 0.167055i
\(286\) −12.2635 20.8621i −0.725154 1.23360i
\(287\) −10.0198 1.10449i −0.591451 0.0651958i
\(288\) 0.0817212 + 0.304988i 0.00481547 + 0.0179716i
\(289\) −16.7811 −0.987122
\(290\) 3.74280 0.219785
\(291\) −6.68319 24.9420i −0.391776 1.46213i
\(292\) 0.00697698 0.00186948i 0.000408297 0.000109403i
\(293\) 4.38187 + 1.17412i 0.255992 + 0.0685927i 0.384532 0.923111i \(-0.374363\pi\)
−0.128541 + 0.991704i \(0.541029\pi\)
\(294\) 11.9160 7.56775i 0.694954 0.441360i
\(295\) 2.03986 + 3.53314i 0.118765 + 0.205707i
\(296\) 9.69119i 0.563289i
\(297\) 26.3198 + 7.05236i 1.52723 + 0.409219i
\(298\) −4.53638 2.61908i −0.262785 0.151719i
\(299\) 0.196313 + 25.0763i 0.0113531 + 1.45020i
\(300\) 0.408709i 0.0235968i
\(301\) −10.3336 + 1.58304i −0.595616 + 0.0912449i
\(302\) −5.26279 + 9.11542i −0.302839 + 0.524533i
\(303\) 13.9821 + 8.07256i 0.803249 + 0.463756i
\(304\) 12.6305 3.38432i 0.724406 0.194104i
\(305\) −2.29289 + 2.29289i −0.131291 + 0.131291i
\(306\) −0.152030 0.567384i −0.00869098 0.0324352i
\(307\) 11.5340 11.5340i 0.658282 0.658282i −0.296691 0.954973i \(-0.595883\pi\)
0.954973 + 0.296691i \(0.0958832\pi\)
\(308\) 0.636619 + 0.467478i 0.0362747 + 0.0266370i
\(309\) −9.37376 5.41194i −0.533254 0.307875i
\(310\) 2.78243 + 2.78243i 0.158031 + 0.158031i
\(311\) 5.42435 9.39525i 0.307587 0.532756i −0.670247 0.742138i \(-0.733812\pi\)
0.977834 + 0.209382i \(0.0671453\pi\)
\(312\) 14.5110 + 3.76671i 0.821524 + 0.213248i
\(313\) −6.22407 + 3.59347i −0.351805 + 0.203115i −0.665480 0.746416i \(-0.731773\pi\)
0.313675 + 0.949530i \(0.398440\pi\)
\(314\) 33.1322 8.87776i 1.86976 0.501001i
\(315\) 0.638700 + 1.45433i 0.0359866 + 0.0819423i
\(316\) −0.0209048 + 0.0120694i −0.00117599 + 0.000678958i
\(317\) 9.14677 + 2.45087i 0.513734 + 0.137655i 0.506367 0.862318i \(-0.330988\pi\)
0.00736711 + 0.999973i \(0.497655\pi\)
\(318\) −6.27556 6.27556i −0.351916 0.351916i
\(319\) −13.7666 13.7666i −0.770779 0.770779i
\(320\) −5.29389 1.41849i −0.295937 0.0792962i
\(321\) 5.20734 3.00646i 0.290646 0.167804i
\(322\) 10.3009 + 23.4554i 0.574048 + 1.30712i
\(323\) 1.52617 0.408937i 0.0849185 0.0227538i
\(324\) −0.293944 + 0.169709i −0.0163302 + 0.00942825i
\(325\) 14.2923 + 8.10318i 0.792797 + 0.449483i
\(326\) −14.4520 + 25.0316i −0.800423 + 1.38637i
\(327\) 6.30058 + 6.30058i 0.348423 + 0.348423i
\(328\) −9.47156 5.46841i −0.522979 0.301942i
\(329\) 21.2973 + 15.6389i 1.17416 + 0.862200i
\(330\) −4.57687 + 4.57687i −0.251948 + 0.251948i
\(331\) 1.53579 + 5.73166i 0.0844148 + 0.315040i 0.995203 0.0978341i \(-0.0311915\pi\)
−0.910788 + 0.412875i \(0.864525\pi\)
\(332\) −0.715621 + 0.715621i −0.0392748 + 0.0392748i
\(333\) 2.94072 0.787965i 0.161151 0.0431802i
\(334\) 21.1230 + 12.1954i 1.15580 + 0.667302i
\(335\) 3.11436 5.39424i 0.170156 0.294719i
\(336\) 14.6694 2.24726i 0.800279 0.122598i
\(337\) 16.0448i 0.874014i −0.899458 0.437007i \(-0.856039\pi\)
0.899458 0.437007i \(-0.143961\pi\)
\(338\) −12.5953 + 12.9960i −0.685091 + 0.706887i
\(339\) 1.39229 + 0.803836i 0.0756185 + 0.0436584i
\(340\) −0.0186316 0.00499233i −0.00101044 0.000270747i
\(341\) 20.4683i 1.10842i
\(342\) −2.11958 3.67122i −0.114614 0.198517i
\(343\) −8.15620 16.6276i −0.440393 0.897805i
\(344\) −10.9557 2.93557i −0.590691 0.158275i
\(345\) 6.47883 1.73600i 0.348808 0.0934629i
\(346\) 2.13328 + 7.96152i 0.114686 + 0.428014i
\(347\) 22.9374 1.23135 0.615673 0.788002i \(-0.288884\pi\)
0.615673 + 0.788002i \(0.288884\pi\)
\(348\) 0.362200 0.0194160
\(349\) −3.69715 13.7979i −0.197904 0.738587i −0.991496 0.130137i \(-0.958458\pi\)
0.793592 0.608450i \(-0.208208\pi\)
\(350\) 16.6828 + 1.83895i 0.891732 + 0.0982959i
\(351\) −0.159526 20.3773i −0.00851489 1.08766i
\(352\) 0.844049 + 1.46194i 0.0449880 + 0.0779214i
\(353\) 1.20372 4.49235i 0.0640677 0.239104i −0.926465 0.376381i \(-0.877168\pi\)
0.990533 + 0.137277i \(0.0438351\pi\)
\(354\) −6.17865 10.7017i −0.328391 0.568790i
\(355\) −1.10257 + 1.90972i −0.0585186 + 0.101357i
\(356\) 0.423420 + 0.423420i 0.0224412 + 0.0224412i
\(357\) 1.77254 0.271543i 0.0938127 0.0143716i
\(358\) −1.35844 + 5.06977i −0.0717959 + 0.267946i
\(359\) 4.70405 17.5557i 0.248270 0.926557i −0.723441 0.690386i \(-0.757441\pi\)
0.971711 0.236171i \(-0.0758926\pi\)
\(360\) 1.72333i 0.0908275i
\(361\) −6.57949 + 3.79867i −0.346289 + 0.199930i
\(362\) −5.60023 + 5.60023i −0.294342 + 0.294342i
\(363\) 17.7349 0.930843
\(364\) 0.210157 0.552028i 0.0110152 0.0289341i
\(365\) 0.0776629 0.00406506
\(366\) 6.94507 6.94507i 0.363025 0.363025i
\(367\) 12.6911 7.32723i 0.662472 0.382478i −0.130746 0.991416i \(-0.541737\pi\)
0.793218 + 0.608937i \(0.208404\pi\)
\(368\) 26.9325i 1.40395i
\(369\) −0.889243 + 3.31870i −0.0462921 + 0.172765i
\(370\) −0.809882 + 3.02252i −0.0421038 + 0.157133i
\(371\) −9.08613 + 7.28188i −0.471728 + 0.378056i
\(372\) 0.269262 + 0.269262i 0.0139606 + 0.0139606i
\(373\) 2.86259 4.95816i 0.148220 0.256724i −0.782350 0.622839i \(-0.785979\pi\)
0.930569 + 0.366115i \(0.119312\pi\)
\(374\) −1.57023 2.71971i −0.0811945 0.140633i
\(375\) 2.38536 8.90230i 0.123180 0.459713i
\(376\) 14.3335 + 24.8264i 0.739195 + 1.28032i
\(377\) −7.18108 + 12.6660i −0.369844 + 0.652330i
\(378\) −8.37066 19.0602i −0.430540 0.980348i
\(379\) −0.283332 1.05741i −0.0145538 0.0543156i 0.958267 0.285875i \(-0.0922840\pi\)
−0.972821 + 0.231559i \(0.925617\pi\)
\(380\) −0.139205 −0.00714105
\(381\) −28.8613 −1.47861
\(382\) 3.30324 + 12.3278i 0.169008 + 0.630747i
\(383\) −0.492561 + 0.131981i −0.0251687 + 0.00674393i −0.271381 0.962472i \(-0.587480\pi\)
0.246213 + 0.969216i \(0.420814\pi\)
\(384\) 15.0551 + 4.03401i 0.768280 + 0.205860i
\(385\) 5.31079 + 6.62666i 0.270663 + 0.337726i
\(386\) −17.6882 30.6369i −0.900306 1.55938i
\(387\) 3.56311i 0.181123i
\(388\) −1.06619 0.285685i −0.0541276 0.0145034i
\(389\) −17.8137 10.2847i −0.903191 0.521457i −0.0249566 0.999689i \(-0.507945\pi\)
−0.878234 + 0.478231i \(0.841278\pi\)
\(390\) 4.21096 + 2.38744i 0.213230 + 0.120893i
\(391\) 3.25433i 0.164578i
\(392\) −0.848200 20.0756i −0.0428406 1.01397i
\(393\) −5.53122 + 9.58036i −0.279013 + 0.483265i
\(394\) 1.73117 + 0.999492i 0.0872151 + 0.0503537i
\(395\) −0.250697 + 0.0671742i −0.0126140 + 0.00337990i
\(396\) 0.190352 0.190352i 0.00956552 0.00956552i
\(397\) −7.65009 28.5505i −0.383947 1.43291i −0.839820 0.542864i \(-0.817340\pi\)
0.455874 0.890045i \(-0.349327\pi\)
\(398\) −10.8440 + 10.8440i −0.543559 + 0.543559i
\(399\) 11.8490 5.20375i 0.593194 0.260513i
\(400\) 15.2812 + 8.82263i 0.764062 + 0.441131i
\(401\) −4.67580 4.67580i −0.233499 0.233499i 0.580653 0.814151i \(-0.302797\pi\)
−0.814151 + 0.580653i \(0.802797\pi\)
\(402\) −9.43328 + 16.3389i −0.470489 + 0.814911i
\(403\) −14.7544 + 4.07750i −0.734971 + 0.203115i
\(404\) 0.597688 0.345075i 0.0297361 0.0171681i
\(405\) −3.52507 + 0.944538i −0.175162 + 0.0469345i
\(406\) −1.62969 + 14.7844i −0.0808799 + 0.733736i
\(407\) 14.0961 8.13841i 0.698719 0.403406i
\(408\) 1.87925 + 0.503545i 0.0930369 + 0.0249292i
\(409\) 1.68995 + 1.68995i 0.0835625 + 0.0835625i 0.747653 0.664090i \(-0.231181\pi\)
−0.664090 + 0.747653i \(0.731181\pi\)
\(410\) −2.49703 2.49703i −0.123320 0.123320i
\(411\) −18.4248 4.93690i −0.908827 0.243520i
\(412\) −0.400697 + 0.231343i −0.0197409 + 0.0113974i
\(413\) −14.8444 + 6.51922i −0.730444 + 0.320790i
\(414\) 8.43384 2.25984i 0.414501 0.111065i
\(415\) −9.42364 + 5.44074i −0.462588 + 0.267076i
\(416\) 0.885682 0.899659i 0.0434241 0.0441094i
\(417\) 12.4678 21.5949i 0.610553 1.05751i
\(418\) −16.0260 16.0260i −0.783855 0.783855i
\(419\) 13.1791 + 7.60897i 0.643842 + 0.371722i 0.786093 0.618108i \(-0.212101\pi\)
−0.142251 + 0.989831i \(0.545434\pi\)
\(420\) −0.157038 0.0173103i −0.00766267 0.000844658i
\(421\) −15.0076 + 15.0076i −0.731425 + 0.731425i −0.970902 0.239477i \(-0.923024\pi\)
0.239477 + 0.970902i \(0.423024\pi\)
\(422\) 8.32216 + 31.0587i 0.405116 + 1.51192i
\(423\) 6.36797 6.36797i 0.309621 0.309621i
\(424\) −12.2027 + 3.26970i −0.592615 + 0.158791i
\(425\) 1.84647 + 1.06606i 0.0895671 + 0.0517116i
\(426\) 3.33965 5.78445i 0.161807 0.280257i
\(427\) −8.05874 10.0555i −0.389990 0.486619i
\(428\) 0.257033i 0.0124241i
\(429\) −6.70716 24.2699i −0.323825 1.17176i
\(430\) −3.17157 1.83111i −0.152947 0.0883039i
\(431\) 29.0180 + 7.77536i 1.39775 + 0.374526i 0.877536 0.479511i \(-0.159186\pi\)
0.520213 + 0.854037i \(0.325853\pi\)
\(432\) 21.8857i 1.05298i
\(433\) −7.75396 13.4302i −0.372631 0.645417i 0.617338 0.786698i \(-0.288211\pi\)
−0.989969 + 0.141281i \(0.954878\pi\)
\(434\) −12.2023 + 9.77930i −0.585731 + 0.469421i
\(435\) 3.76168 + 1.00794i 0.180359 + 0.0483270i
\(436\) 0.367911 0.0985813i 0.0176197 0.00472119i
\(437\) 6.07861 + 22.6857i 0.290779 + 1.08520i
\(438\) −0.235238 −0.0112401
\(439\) 14.4339 0.688894 0.344447 0.938806i \(-0.388067\pi\)
0.344447 + 0.938806i \(0.388067\pi\)
\(440\) 2.38465 + 8.89962i 0.113684 + 0.424273i
\(441\) −6.02283 + 1.88967i −0.286802 + 0.0899844i
\(442\) −1.64768 + 1.67368i −0.0783721 + 0.0796088i
\(443\) 6.23855 + 10.8055i 0.296403 + 0.513384i 0.975310 0.220839i \(-0.0708797\pi\)
−0.678908 + 0.734224i \(0.737546\pi\)
\(444\) −0.0783743 + 0.292497i −0.00371948 + 0.0138813i
\(445\) 3.21919 + 5.57580i 0.152604 + 0.264318i
\(446\) 2.57824 4.46564i 0.122083 0.211454i
\(447\) −3.85394 3.85394i −0.182285 0.182285i
\(448\) 7.90823 20.2937i 0.373629 0.958786i
\(449\) −7.24956 + 27.0557i −0.342128 + 1.27684i 0.553804 + 0.832647i \(0.313176\pi\)
−0.895932 + 0.444191i \(0.853491\pi\)
\(450\) 1.48057 5.52556i 0.0697948 0.260478i
\(451\) 18.3689i 0.864958i
\(452\) 0.0595156 0.0343614i 0.00279938 0.00161622i
\(453\) −7.74413 + 7.74413i −0.363851 + 0.363851i
\(454\) −33.5616 −1.57512
\(455\) 3.71881 5.14834i 0.174341 0.241358i
\(456\) 14.0407 0.657515
\(457\) −12.4557 + 12.4557i −0.582653 + 0.582653i −0.935631 0.352978i \(-0.885169\pi\)
0.352978 + 0.935631i \(0.385169\pi\)
\(458\) −22.4789 + 12.9782i −1.05037 + 0.606431i
\(459\) 2.64451i 0.123435i
\(460\) 0.0742082 0.276949i 0.00345997 0.0129128i
\(461\) 1.39627 5.21097i 0.0650310 0.242699i −0.925757 0.378118i \(-0.876571\pi\)
0.990788 + 0.135419i \(0.0432381\pi\)
\(462\) −16.0862 20.0719i −0.748396 0.933828i
\(463\) −19.4789 19.4789i −0.905259 0.905259i 0.0906259 0.995885i \(-0.471113\pi\)
−0.995885 + 0.0906259i \(0.971113\pi\)
\(464\) −7.81866 + 13.5423i −0.362972 + 0.628686i
\(465\) 2.04715 + 3.54577i 0.0949345 + 0.164431i
\(466\) 1.62957 6.08165i 0.0754885 0.281727i
\(467\) 4.79805 + 8.31047i 0.222027 + 0.384563i 0.955423 0.295239i \(-0.0953992\pi\)
−0.733396 + 0.679802i \(0.762066\pi\)
\(468\) −0.175133 0.0992935i −0.00809554 0.00458984i
\(469\) 19.9516 + 14.6508i 0.921281 + 0.676509i
\(470\) 2.39567 + 8.94077i 0.110504 + 0.412407i
\(471\) 35.6902 1.64452
\(472\) −17.5901 −0.809649
\(473\) 4.93042 + 18.4006i 0.226701 + 0.846060i
\(474\) 0.759352 0.203468i 0.0348782 0.00934558i
\(475\) 14.8629 + 3.98250i 0.681956 + 0.182729i
\(476\) 0.0278327 0.0714227i 0.00127571 0.00327366i
\(477\) 1.98434 + 3.43697i 0.0908565 + 0.157368i
\(478\) 21.9733i 1.00504i
\(479\) −29.8944 8.01018i −1.36591 0.365994i −0.499927 0.866068i \(-0.666640\pi\)
−0.865983 + 0.500073i \(0.833306\pi\)
\(480\) −0.292433 0.168836i −0.0133477 0.00770628i
\(481\) −8.67460 8.53984i −0.395528 0.389383i
\(482\) 10.5363i 0.479916i
\(483\) 4.03633 + 26.3478i 0.183659 + 1.19887i
\(484\) 0.379055 0.656543i 0.0172298 0.0298429i
\(485\) −10.2781 5.93404i −0.466703 0.269451i
\(486\) −12.1229 + 3.24833i −0.549908 + 0.147347i
\(487\) 3.95701 3.95701i 0.179309 0.179309i −0.611745 0.791055i \(-0.709532\pi\)
0.791055 + 0.611745i \(0.209532\pi\)
\(488\) −3.61853 13.5045i −0.163803 0.611322i
\(489\) −21.2660 + 21.2660i −0.961680 + 0.961680i
\(490\) 1.41316 6.33213i 0.0638399 0.286056i
\(491\) 12.0113 + 6.93474i 0.542063 + 0.312960i 0.745915 0.666041i \(-0.232013\pi\)
−0.203851 + 0.979002i \(0.565346\pi\)
\(492\) −0.241644 0.241644i −0.0108942 0.0108942i
\(493\) −0.944750 + 1.63635i −0.0425494 + 0.0736977i
\(494\) −8.35965 + 14.7447i −0.376119 + 0.663396i
\(495\) 2.50664 1.44721i 0.112665 0.0650472i
\(496\) −15.8799 + 4.25501i −0.713030 + 0.191056i
\(497\) −7.06345 5.18679i −0.316839 0.232659i
\(498\) 28.5438 16.4798i 1.27908 0.738477i
\(499\) 8.83159 + 2.36642i 0.395356 + 0.105935i 0.451019 0.892514i \(-0.351061\pi\)
−0.0556630 + 0.998450i \(0.517727\pi\)
\(500\) −0.278578 0.278578i −0.0124584 0.0124584i
\(501\) 17.9454 + 17.9454i 0.801740 + 0.801740i
\(502\) 28.5522 + 7.65055i 1.27435 + 0.341461i
\(503\) −27.9587 + 16.1420i −1.24662 + 0.719736i −0.970434 0.241369i \(-0.922404\pi\)
−0.276185 + 0.961104i \(0.589070\pi\)
\(504\) −6.80730 0.750371i −0.303221 0.0334242i
\(505\) 7.16766 1.92057i 0.318957 0.0854642i
\(506\) 40.4270 23.3405i 1.79720 1.03761i
\(507\) −16.1586 + 9.66962i −0.717630 + 0.429443i
\(508\) −0.616864 + 1.06844i −0.0273689 + 0.0474043i
\(509\) −8.53926 8.53926i −0.378496 0.378496i 0.492063 0.870559i \(-0.336243\pi\)
−0.870559 + 0.492063i \(0.836243\pi\)
\(510\) 0.544027 + 0.314094i 0.0240899 + 0.0139083i
\(511\) −0.0338159 + 0.306775i −0.00149593 + 0.0135709i
\(512\) 16.6785 16.6785i 0.737091 0.737091i
\(513\) −4.93955 18.4347i −0.218087 0.813910i
\(514\) 24.8472 24.8472i 1.09596 1.09596i
\(515\) −4.80529 + 1.28757i −0.211746 + 0.0567372i
\(516\) −0.306921 0.177201i −0.0135114 0.00780084i
\(517\) 24.0738 41.6971i 1.05877 1.83384i
\(518\) −11.5866 4.51516i −0.509085 0.198385i
\(519\) 8.57618i 0.376452i
\(520\) 5.94018 3.49185i 0.260494 0.153128i
\(521\) 10.1929 + 5.88486i 0.446558 + 0.257821i 0.706376 0.707837i \(-0.250329\pi\)
−0.259817 + 0.965658i \(0.583662\pi\)
\(522\) 4.89678 + 1.31209i 0.214326 + 0.0574286i
\(523\) 15.3301i 0.670337i 0.942158 + 0.335168i \(0.108793\pi\)
−0.942158 + 0.335168i \(0.891207\pi\)
\(524\) 0.236442 + 0.409529i 0.0103290 + 0.0178904i
\(525\) 16.2717 + 6.34091i 0.710156 + 0.276740i
\(526\) 0.408840 + 0.109548i 0.0178263 + 0.00477654i
\(527\) −1.91881 + 0.514145i −0.0835849 + 0.0223965i
\(528\) −6.99916 26.1212i −0.304599 1.13678i
\(529\) −25.3737 −1.10321
\(530\) −4.07906 −0.177183
\(531\) 1.43020 + 5.33758i 0.0620654 + 0.231631i
\(532\) 0.0606124 0.549870i 0.00262788 0.0238399i
\(533\) 13.2411 3.65927i 0.573535 0.158501i
\(534\) −9.75079 16.8889i −0.421958 0.730852i
\(535\) 0.715277 2.66945i 0.0309241 0.115410i
\(536\) 13.4279 + 23.2577i 0.579995 + 1.00458i
\(537\) −2.73059 + 4.72952i −0.117834 + 0.204094i
\(538\) 17.6586 + 17.6586i 0.761318 + 0.761318i
\(539\) −28.4883 + 18.0927i −1.22708 + 0.779307i
\(540\) −0.0603024 + 0.225052i −0.00259500 + 0.00968469i
\(541\) −3.88929 + 14.5150i −0.167214 + 0.624050i 0.830534 + 0.556968i \(0.188036\pi\)
−0.997747 + 0.0670818i \(0.978631\pi\)
\(542\) 18.0764i 0.776450i
\(543\) −7.13663 + 4.12034i −0.306262 + 0.176821i
\(544\) 0.115848 0.115848i 0.00496695 0.00496695i
\(545\) 4.09532 0.175424
\(546\) −11.2641 + 15.5941i −0.482060 + 0.667366i
\(547\) 20.0277 0.856322 0.428161 0.903702i \(-0.359162\pi\)
0.428161 + 0.903702i \(0.359162\pi\)
\(548\) −0.576562 + 0.576562i −0.0246295 + 0.0246295i
\(549\) −3.80364 + 2.19603i −0.162336 + 0.0937245i
\(550\) 30.5838i 1.30410i
\(551\) −3.52931 + 13.1716i −0.150354 + 0.561127i
\(552\) −7.48490 + 27.9340i −0.318579 + 1.18895i
\(553\) −0.156185 1.01952i −0.00664167 0.0433546i
\(554\) −6.11594 6.11594i −0.259841 0.259841i
\(555\) −1.62794 + 2.81967i −0.0691020 + 0.119688i
\(556\) −0.532959 0.923113i −0.0226025 0.0391487i
\(557\) 0.644961 2.40703i 0.0273279 0.101989i −0.950915 0.309453i \(-0.899854\pi\)
0.978243 + 0.207464i \(0.0665209\pi\)
\(558\) 2.66489 + 4.61573i 0.112814 + 0.195399i
\(559\) 12.2817 7.21964i 0.519462 0.305358i
\(560\) 4.03713 5.49783i 0.170600 0.232326i
\(561\) −0.845727 3.15630i −0.0357066 0.133259i
\(562\) −3.40288 −0.143542
\(563\) 19.7161 0.830933 0.415467 0.909608i \(-0.363618\pi\)
0.415467 + 0.909608i \(0.363618\pi\)
\(564\) 0.231835 + 0.865221i 0.00976202 + 0.0364324i
\(565\) 0.713730 0.191243i 0.0300268 0.00804567i
\(566\) 24.2266 + 6.49150i 1.01832 + 0.272858i
\(567\) −2.19613 14.3356i −0.0922286 0.602037i
\(568\) −4.75385 8.23391i −0.199467 0.345487i
\(569\) 44.6858i 1.87333i −0.350230 0.936664i \(-0.613897\pi\)
0.350230 0.936664i \(-0.386103\pi\)
\(570\) 4.37906 + 1.17336i 0.183418 + 0.0491468i
\(571\) 23.8503 + 13.7700i 0.998103 + 0.576255i 0.907686 0.419649i \(-0.137847\pi\)
0.0904162 + 0.995904i \(0.471180\pi\)
\(572\) −1.04182 0.270431i −0.0435607 0.0113073i
\(573\) 13.2796i 0.554763i
\(574\) 10.9507 8.77623i 0.457075 0.366313i
\(575\) −15.8464 + 27.4468i −0.660841 + 1.14461i
\(576\) −6.42884 3.71169i −0.267868 0.154654i
\(577\) 17.7698 4.76139i 0.739765 0.198219i 0.130791 0.991410i \(-0.458248\pi\)
0.608974 + 0.793190i \(0.291582\pi\)
\(578\) 16.5193 16.5193i 0.687110 0.687110i
\(579\) −9.52691 35.5549i −0.395925 1.47761i
\(580\) 0.117713 0.117713i 0.00488778 0.00488778i
\(581\) −17.3882 39.5932i −0.721382 1.64260i
\(582\) 31.1318 + 17.9740i 1.29046 + 0.745045i
\(583\) 15.0034 + 15.0034i 0.621377 + 0.621377i
\(584\) −0.167425 + 0.289989i −0.00692811 + 0.0119998i
\(585\) −1.54256 1.51859i −0.0637769 0.0627861i
\(586\) −5.46930 + 3.15770i −0.225935 + 0.130444i
\(587\) −20.1767 + 5.40633i −0.832781 + 0.223143i −0.649927 0.759997i \(-0.725200\pi\)
−0.182855 + 0.983140i \(0.558534\pi\)
\(588\) 0.136755 0.612776i 0.00563967 0.0252704i
\(589\) −12.4156 + 7.16813i −0.511574 + 0.295358i
\(590\) −5.48605 1.46998i −0.225857 0.0605182i
\(591\) 1.47074 + 1.47074i 0.0604982 + 0.0604982i
\(592\) −9.24435 9.24435i −0.379940 0.379940i
\(593\) 8.55614 + 2.29261i 0.351358 + 0.0941462i 0.430182 0.902742i \(-0.358450\pi\)
−0.0788231 + 0.996889i \(0.525116\pi\)
\(594\) −32.8514 + 18.9668i −1.34791 + 0.778217i
\(595\) 0.487817 0.664318i 0.0199986 0.0272344i
\(596\) −0.225044 + 0.0603003i −0.00921815 + 0.00247000i
\(597\) −13.8190 + 7.97838i −0.565573 + 0.326534i
\(598\) −24.8783 24.4918i −1.01735 1.00154i
\(599\) 18.1377 31.4154i 0.741087 1.28360i −0.210914 0.977505i \(-0.567644\pi\)
0.952001 0.306096i \(-0.0990227\pi\)
\(600\) 13.3976 + 13.3976i 0.546954 + 0.546954i
\(601\) 30.7163 + 17.7340i 1.25294 + 0.723387i 0.971693 0.236248i \(-0.0759177\pi\)
0.281250 + 0.959635i \(0.409251\pi\)
\(602\) 8.61399 11.7307i 0.351080 0.478107i
\(603\) 5.96562 5.96562i 0.242939 0.242939i
\(604\) 0.121168 + 0.452204i 0.00493024 + 0.0183999i
\(605\) 5.76378 5.76378i 0.234331 0.234331i
\(606\) −21.7105 + 5.81732i −0.881930 + 0.236313i
\(607\) −22.2647 12.8545i −0.903697 0.521749i −0.0252989 0.999680i \(-0.508054\pi\)
−0.878398 + 0.477930i \(0.841387\pi\)
\(608\) 0.591182 1.02396i 0.0239756 0.0415269i
\(609\) −5.61935 + 14.4201i −0.227708 + 0.584331i
\(610\) 4.51424i 0.182776i
\(611\) −34.8528 9.04695i −1.40999 0.366000i
\(612\) −0.0226260 0.0130632i −0.000914604 0.000528047i
\(613\) 44.0688 + 11.8082i 1.77992 + 0.476928i 0.990569 0.137013i \(-0.0437501\pi\)
0.789352 + 0.613941i \(0.210417\pi\)
\(614\) 22.7082i 0.916427i
\(615\) −1.83718 3.18208i −0.0740821 0.128314i
\(616\) −36.1926 + 5.54449i −1.45824 + 0.223394i
\(617\) 35.5733 + 9.53183i 1.43213 + 0.383737i 0.889769 0.456411i \(-0.150865\pi\)
0.542357 + 0.840148i \(0.317532\pi\)
\(618\) 14.5550 3.90000i 0.585489 0.156881i
\(619\) −1.37524 5.13248i −0.0552757 0.206292i 0.932765 0.360485i \(-0.117389\pi\)
−0.988041 + 0.154193i \(0.950722\pi\)
\(620\) 0.175018 0.00702890
\(621\) 39.3091 1.57742
\(622\) 3.90895 + 14.5884i 0.156734 + 0.584941i
\(623\) −23.4266 + 10.2883i −0.938565 + 0.412190i
\(624\) −17.4350 + 10.2489i −0.697957 + 0.410284i
\(625\) 9.27392 + 16.0629i 0.370957 + 0.642516i
\(626\) 2.58956 9.66437i 0.103500 0.386266i
\(627\) −11.7910 20.4226i −0.470887 0.815601i
\(628\) 0.762819 1.32124i 0.0304398 0.0527233i
\(629\) −1.11702 1.11702i −0.0445385 0.0445385i
\(630\) −2.06038 0.802907i −0.0820874 0.0319886i
\(631\) −3.50380 + 13.0763i −0.139484 + 0.520561i 0.860455 + 0.509526i \(0.170179\pi\)
−0.999939 + 0.0110350i \(0.996487\pi\)
\(632\) 0.289627 1.08090i 0.0115208 0.0429961i
\(633\) 33.4566i 1.32978i
\(634\) −11.4167 + 6.59143i −0.453415 + 0.261779i
\(635\) −9.37981 + 9.37981i −0.372226 + 0.372226i
\(636\) −0.394741 −0.0156525
\(637\) 18.7171 + 16.9313i 0.741600 + 0.670843i
\(638\) 27.1035 1.07304
\(639\) −2.11200 + 2.11200i −0.0835494 + 0.0835494i
\(640\) 6.20389 3.58182i 0.245230 0.141584i
\(641\) 21.4184i 0.845978i −0.906135 0.422989i \(-0.860981\pi\)
0.906135 0.422989i \(-0.139019\pi\)
\(642\) −2.16654 + 8.08566i −0.0855067 + 0.319115i
\(643\) −3.68080 + 13.7369i −0.145157 + 0.541732i 0.854592 + 0.519300i \(0.173807\pi\)
−0.999748 + 0.0224315i \(0.992859\pi\)
\(644\) 1.06166 + 0.413717i 0.0418352 + 0.0163027i
\(645\) −2.69445 2.69445i −0.106094 0.106094i
\(646\) −1.09980 + 1.90492i −0.0432712 + 0.0749480i
\(647\) 10.2738 + 17.7948i 0.403906 + 0.699585i 0.994193 0.107608i \(-0.0343191\pi\)
−0.590288 + 0.807193i \(0.700986\pi\)
\(648\) 4.07246 15.1986i 0.159981 0.597059i
\(649\) 14.7717 + 25.5853i 0.579839 + 1.00431i
\(650\) −22.0461 + 6.09261i −0.864720 + 0.238972i
\(651\) −14.8975 + 6.54253i −0.583878 + 0.256422i
\(652\) 0.332736 + 1.24179i 0.0130309 + 0.0486321i
\(653\) −43.6957 −1.70994 −0.854972 0.518675i \(-0.826426\pi\)
−0.854972 + 0.518675i \(0.826426\pi\)
\(654\) −12.4046 −0.485057
\(655\) 1.31595 + 4.91120i 0.0514185 + 0.191896i
\(656\) 14.2511 3.81857i 0.556413 0.149090i
\(657\) 0.101608 + 0.0272258i 0.00396411 + 0.00106218i
\(658\) −36.3599 + 5.57012i −1.41746 + 0.217146i
\(659\) −6.26381 10.8492i −0.244003 0.422626i 0.717848 0.696200i \(-0.245127\pi\)
−0.961851 + 0.273574i \(0.911794\pi\)
\(660\) 0.287891i 0.0112061i
\(661\) 22.2227 + 5.95454i 0.864361 + 0.231605i 0.663648 0.748045i \(-0.269007\pi\)
0.200713 + 0.979650i \(0.435674\pi\)
\(662\) −7.15407 4.13040i −0.278051 0.160533i
\(663\) −2.10671 + 1.23840i −0.0818180 + 0.0480956i
\(664\) 46.9165i 1.82071i
\(665\) 2.15969 5.54208i 0.0837492 0.214913i
\(666\) −2.11917 + 3.67051i −0.0821163 + 0.142230i
\(667\) −24.3235 14.0432i −0.941809 0.543754i
\(668\) 1.04789 0.280780i 0.0405439 0.0108637i
\(669\) 3.79385 3.79385i 0.146679 0.146679i
\(670\) 2.24430 + 8.37585i 0.0867050 + 0.323587i
\(671\) −16.6040 + 16.6040i −0.640991 + 0.640991i
\(672\) 0.794248 1.08162i 0.0306388 0.0417244i
\(673\) −12.0684 6.96769i −0.465202 0.268585i 0.249027 0.968497i \(-0.419889\pi\)
−0.714229 + 0.699912i \(0.753223\pi\)
\(674\) 15.7944 + 15.7944i 0.608379 + 0.608379i
\(675\) 12.8770 22.3036i 0.495635 0.858466i
\(676\) 0.0126027 + 0.804860i 0.000484719 + 0.0309562i
\(677\) 44.8299 25.8826i 1.72295 0.994747i 0.810296 0.586020i \(-0.199306\pi\)
0.912657 0.408727i \(-0.134027\pi\)
\(678\) −2.16186 + 0.579268i −0.0830257 + 0.0222467i
\(679\) 27.9152 38.0154i 1.07129 1.45890i
\(680\) 0.774399 0.447100i 0.0296969 0.0171455i
\(681\) −33.7309 9.03816i −1.29257 0.346343i
\(682\) 20.1490 + 20.1490i 0.771545 + 0.771545i
\(683\) −20.1791 20.1791i −0.772131 0.772131i 0.206348 0.978479i \(-0.433842\pi\)
−0.978479 + 0.206348i \(0.933842\pi\)
\(684\) −0.182125 0.0488001i −0.00696371 0.00186592i
\(685\) −7.59245 + 4.38350i −0.290092 + 0.167485i
\(686\) 24.3971 + 8.33921i 0.931486 + 0.318393i
\(687\) −26.0873 + 6.99008i −0.995294 + 0.266688i
\(688\) 13.2508 7.65033i 0.505180 0.291666i
\(689\) 7.82625 13.8039i 0.298156 0.525887i
\(690\) −4.66883 + 8.08666i −0.177739 + 0.307854i
\(691\) −13.2476 13.2476i −0.503963 0.503963i 0.408704 0.912667i \(-0.365981\pi\)
−0.912667 + 0.408704i \(0.865981\pi\)
\(692\) 0.317488 + 0.183302i 0.0120691 + 0.00696809i
\(693\) 4.62516 + 10.5316i 0.175695 + 0.400061i
\(694\) −22.5796 + 22.5796i −0.857108 + 0.857108i
\(695\) −2.96627 11.0703i −0.112517 0.419919i
\(696\) −11.8730 + 11.8730i −0.450045 + 0.450045i
\(697\) 1.72200 0.461409i 0.0652254 0.0174771i
\(698\) 17.2221 + 9.94320i 0.651867 + 0.376356i
\(699\) 3.27559 5.67348i 0.123894 0.214591i
\(700\) 0.582520 0.466848i 0.0220172 0.0176452i
\(701\) 20.1282i 0.760231i 0.924939 + 0.380115i \(0.124116\pi\)
−0.924939 + 0.380115i \(0.875884\pi\)
\(702\) 20.2164 + 19.9023i 0.763019 + 0.751165i
\(703\) −9.87309 5.70023i −0.372371 0.214988i
\(704\) −38.3358 10.2720i −1.44484 0.387142i
\(705\) 9.63103i 0.362726i
\(706\) 3.23732 + 5.60721i 0.121838 + 0.211030i
\(707\) 4.46547 + 29.1491i 0.167941 + 1.09626i
\(708\) −0.530899 0.142254i −0.0199524 0.00534623i
\(709\) 4.16243 1.11532i 0.156323 0.0418867i −0.179809 0.983702i \(-0.557548\pi\)
0.336132 + 0.941815i \(0.390881\pi\)
\(710\) −0.794548 2.96529i −0.0298189 0.111285i
\(711\) −0.351542 −0.0131838
\(712\) −27.7596 −1.04034
\(713\) −7.64247 28.5221i −0.286213 1.06816i
\(714\) −1.47758 + 2.01219i −0.0552970 + 0.0753043i
\(715\) −10.0674 5.70781i −0.376500 0.213460i
\(716\) 0.116724 + 0.202172i 0.00436217 + 0.00755550i
\(717\) 5.91744 22.0842i 0.220991 0.824749i
\(718\) 12.6512 + 21.9125i 0.472138 + 0.817767i
\(719\) −15.9230 + 27.5794i −0.593827 + 1.02854i 0.399884 + 0.916566i \(0.369050\pi\)
−0.993711 + 0.111973i \(0.964283\pi\)
\(720\) −1.64387 1.64387i −0.0612635 0.0612635i
\(721\) −2.99371 19.5419i −0.111491 0.727779i
\(722\) 2.73743 10.2162i 0.101877 0.380209i
\(723\) 2.83744 10.5895i 0.105525 0.393826i
\(724\) 0.352262i 0.0130917i
\(725\) −15.9359 + 9.20060i −0.591845 + 0.341702i
\(726\) −17.4583 + 17.4583i −0.647936 + 0.647936i
\(727\) −49.3169 −1.82906 −0.914531 0.404516i \(-0.867440\pi\)
−0.914531 + 0.404516i \(0.867440\pi\)
\(728\) 11.2066 + 24.9846i 0.415345 + 0.925991i
\(729\) −29.5035 −1.09272
\(730\) −0.0764512 + 0.0764512i −0.00282959 + 0.00282959i
\(731\) 1.60112 0.924410i 0.0592197 0.0341905i
\(732\) 0.436854i 0.0161466i
\(733\) 4.21647 15.7361i 0.155739 0.581226i −0.843302 0.537440i \(-0.819391\pi\)
0.999041 0.0437858i \(-0.0139419\pi\)
\(734\) −5.28022 + 19.7061i −0.194896 + 0.727364i
\(735\) 3.12553 5.98351i 0.115287 0.220705i
\(736\) 1.72202 + 1.72202i 0.0634744 + 0.0634744i
\(737\) 22.5527 39.0625i 0.830741 1.43888i
\(738\) −2.39155 4.14229i −0.0880343 0.152480i
\(739\) 6.53382 24.3845i 0.240350 0.897000i −0.735313 0.677727i \(-0.762965\pi\)
0.975664 0.219273i \(-0.0703684\pi\)
\(740\) 0.0695889 + 0.120532i 0.00255814 + 0.00443083i
\(741\) −12.3726 + 12.5678i −0.454519 + 0.461691i
\(742\) 1.77610 16.1126i 0.0652027 0.591513i
\(743\) 2.17652 + 8.12290i 0.0798489 + 0.298000i 0.994289 0.106721i \(-0.0340352\pi\)
−0.914440 + 0.404721i \(0.867369\pi\)
\(744\) −17.6530 −0.647189
\(745\) −2.50503 −0.0917772
\(746\) 2.06287 + 7.69874i 0.0755270 + 0.281871i
\(747\) −14.2365 + 3.81465i −0.520886 + 0.139571i
\(748\) −0.134921 0.0361521i −0.00493321 0.00132185i
\(749\) 10.2331 + 3.98773i 0.373910 + 0.145709i
\(750\) 6.41526 + 11.1116i 0.234252 + 0.405737i
\(751\) 34.1800i 1.24725i 0.781725 + 0.623623i \(0.214340\pi\)
−0.781725 + 0.623623i \(0.785660\pi\)
\(752\) −37.3543 10.0091i −1.36217 0.364993i
\(753\) 26.6360 + 15.3783i 0.970669 + 0.560416i
\(754\) −5.39930 19.5374i −0.196631 0.711509i
\(755\) 5.03362i 0.183192i
\(756\) −0.862717 0.336192i −0.0313767 0.0122272i
\(757\) −6.77459 + 11.7339i −0.246227 + 0.426477i −0.962476 0.271368i \(-0.912524\pi\)
0.716249 + 0.697845i \(0.245857\pi\)
\(758\) 1.31983 + 0.762002i 0.0479382 + 0.0276771i
\(759\) 46.9166 12.5713i 1.70296 0.456308i
\(760\) 4.56316 4.56316i 0.165523 0.165523i
\(761\) −5.17326 19.3069i −0.187531 0.699873i −0.994075 0.108700i \(-0.965331\pi\)
0.806544 0.591174i \(-0.201335\pi\)
\(762\) 28.4110 28.4110i 1.02922 1.02922i
\(763\) −1.78318 + 16.1769i −0.0645555 + 0.585642i
\(764\) 0.491608 + 0.283830i 0.0177857 + 0.0102686i
\(765\) −0.198634 0.198634i −0.00718161 0.00718161i
\(766\) 0.354954 0.614799i 0.0128250 0.0222136i
\(767\) 15.5003 15.7449i 0.559683 0.568515i
\(768\) 1.86243 1.07527i 0.0672045 0.0388005i
\(769\) 30.3963 8.14467i 1.09612 0.293704i 0.334936 0.942241i \(-0.391285\pi\)
0.761184 + 0.648536i \(0.224619\pi\)
\(770\) −11.7512 1.29534i −0.423484 0.0466808i
\(771\) 31.6639 18.2812i 1.14035 0.658381i
\(772\) −1.51986 0.407244i −0.0547008 0.0146570i
\(773\) −27.0775 27.0775i −0.973910 0.973910i