Properties

Label 280.2.ba.b.19.14
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.14
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.634137 - 1.26407i) q^{2} +(0.653375 + 1.13168i) q^{3} +(-1.19574 + 1.60319i) q^{4} +(-1.67181 - 1.48495i) q^{5} +(1.01619 - 1.54355i) q^{6} +(-1.03631 - 2.43435i) q^{7} +(2.78480 + 0.494858i) q^{8} +(0.646203 - 1.11926i) q^{9} +O(q^{10})\) \(q+(-0.634137 - 1.26407i) q^{2} +(0.653375 + 1.13168i) q^{3} +(-1.19574 + 1.60319i) q^{4} +(-1.67181 - 1.48495i) q^{5} +(1.01619 - 1.54355i) q^{6} +(-1.03631 - 2.43435i) q^{7} +(2.78480 + 0.494858i) q^{8} +(0.646203 - 1.11926i) q^{9} +(-0.816920 + 3.05494i) q^{10} +(0.168671 + 0.292146i) q^{11} +(-2.59556 - 0.305712i) q^{12} -1.29865i q^{13} +(-2.42003 + 2.85368i) q^{14} +(0.588166 - 2.86217i) q^{15} +(-1.14041 - 3.83399i) q^{16} +(-3.41832 - 5.92071i) q^{17} +(-1.82460 - 0.107083i) q^{18} +(-0.551990 - 0.318691i) q^{19} +(4.37969 - 0.904605i) q^{20} +(2.07781 - 2.76331i) q^{21} +(0.262332 - 0.398472i) q^{22} +(1.51602 - 2.62582i) q^{23} +(1.25950 + 3.47483i) q^{24} +(0.589869 + 4.96508i) q^{25} +(-1.64159 + 0.823524i) q^{26} +5.60910 q^{27} +(5.14187 + 1.24946i) q^{28} -5.90687i q^{29} +(-3.99096 + 1.07153i) q^{30} +(-1.08115 - 1.87261i) q^{31} +(-4.12325 + 3.87283i) q^{32} +(-0.220410 + 0.381762i) q^{33} +(-5.31650 + 8.07554i) q^{34} +(-1.88238 + 5.60862i) q^{35} +(1.02169 + 2.37432i) q^{36} +(-4.30421 + 7.45510i) q^{37} +(-0.0528107 + 0.899847i) q^{38} +(1.46966 - 0.848507i) q^{39} +(-3.92081 - 4.96259i) q^{40} -5.28231i q^{41} +(-4.81063 - 0.874175i) q^{42} +10.6010i q^{43} +(-0.670050 - 0.0789204i) q^{44} +(-2.74236 + 0.911602i) q^{45} +(-4.28057 - 0.251221i) q^{46} +(7.78384 + 4.49400i) q^{47} +(3.59373 - 3.79561i) q^{48} +(-4.85214 + 5.04547i) q^{49} +(5.90215 - 3.89418i) q^{50} +(4.46689 - 7.73688i) q^{51} +(2.08198 + 1.55285i) q^{52} +(3.63168 + 6.29026i) q^{53} +(-3.55694 - 7.09029i) q^{54} +(0.151837 - 0.738878i) q^{55} +(-1.68125 - 7.29201i) q^{56} -0.832900i q^{57} +(-7.46668 + 3.74576i) q^{58} +(7.50354 - 4.33217i) q^{59} +(3.88530 + 4.36535i) q^{60} +(-3.97207 + 6.87982i) q^{61} +(-1.68151 + 2.55414i) q^{62} +(-3.39433 - 0.413194i) q^{63} +(7.51023 + 2.75616i) q^{64} +(-1.92843 + 2.17110i) q^{65} +(0.622343 + 0.0365244i) q^{66} +(10.9447 - 6.31895i) q^{67} +(13.5794 + 1.59942i) q^{68} +3.96211 q^{69} +(8.28337 - 1.17718i) q^{70} -3.53507i q^{71} +(2.35342 - 2.79713i) q^{72} +(-5.93618 - 10.2818i) q^{73} +(12.1532 + 0.713255i) q^{74} +(-5.23347 + 3.91160i) q^{75} +(1.17096 - 0.503870i) q^{76} +(0.536392 - 0.713356i) q^{77} +(-2.00454 - 1.31968i) q^{78} +(8.96466 + 5.17575i) q^{79} +(-3.78672 + 8.10313i) q^{80} +(1.72624 + 2.98993i) q^{81} +(-6.67721 + 3.34971i) q^{82} -3.76821 q^{83} +(1.94558 + 6.63531i) q^{84} +(-3.07716 + 14.9743i) q^{85} +(13.4004 - 6.72250i) q^{86} +(6.68467 - 3.85940i) q^{87} +(0.325143 + 0.897036i) q^{88} +(-6.43915 - 3.71765i) q^{89} +(2.89136 + 2.88845i) q^{90} +(-3.16138 + 1.34580i) q^{91} +(2.39691 + 5.57025i) q^{92} +(1.41279 - 2.44703i) q^{93} +(0.744706 - 12.6891i) q^{94} +(0.449580 + 1.35247i) q^{95} +(-7.07683 - 2.13578i) q^{96} +6.03558 q^{97} +(9.45474 + 2.93392i) q^{98} +0.435982 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.634137 1.26407i −0.448403 0.893832i
\(3\) 0.653375 + 1.13168i 0.377226 + 0.653375i 0.990658 0.136373i \(-0.0435446\pi\)
−0.613431 + 0.789748i \(0.710211\pi\)
\(4\) −1.19574 + 1.60319i −0.597870 + 0.801593i
\(5\) −1.67181 1.48495i −0.747654 0.664088i
\(6\) 1.01619 1.54355i 0.414858 0.630152i
\(7\) −1.03631 2.43435i −0.391687 0.920099i
\(8\) 2.78480 + 0.494858i 0.984576 + 0.174959i
\(9\) 0.646203 1.11926i 0.215401 0.373085i
\(10\) −0.816920 + 3.05494i −0.258333 + 0.966056i
\(11\) 0.168671 + 0.292146i 0.0508561 + 0.0880853i 0.890333 0.455310i \(-0.150472\pi\)
−0.839477 + 0.543396i \(0.817138\pi\)
\(12\) −2.59556 0.305712i −0.749273 0.0882514i
\(13\) 1.29865i 0.360182i −0.983650 0.180091i \(-0.942361\pi\)
0.983650 0.180091i \(-0.0576391\pi\)
\(14\) −2.42003 + 2.85368i −0.646780 + 0.762677i
\(15\) 0.588166 2.86217i 0.151864 0.739010i
\(16\) −1.14041 3.83399i −0.285103 0.958497i
\(17\) −3.41832 5.92071i −0.829065 1.43598i −0.898773 0.438415i \(-0.855540\pi\)
0.0697076 0.997567i \(-0.477793\pi\)
\(18\) −1.82460 0.107083i −0.430062 0.0252397i
\(19\) −0.551990 0.318691i −0.126635 0.0731128i 0.435344 0.900264i \(-0.356627\pi\)
−0.561979 + 0.827151i \(0.689960\pi\)
\(20\) 4.37969 0.904605i 0.979329 0.202276i
\(21\) 2.07781 2.76331i 0.453415 0.603003i
\(22\) 0.262332 0.398472i 0.0559294 0.0849545i
\(23\) 1.51602 2.62582i 0.316111 0.547521i −0.663562 0.748121i \(-0.730956\pi\)
0.979673 + 0.200601i \(0.0642894\pi\)
\(24\) 1.25950 + 3.47483i 0.257094 + 0.709296i
\(25\) 0.589869 + 4.96508i 0.117974 + 0.993017i
\(26\) −1.64159 + 0.823524i −0.321942 + 0.161506i
\(27\) 5.60910 1.07947
\(28\) 5.14187 + 1.24946i 0.971722 + 0.236126i
\(29\) 5.90687i 1.09688i −0.836191 0.548439i \(-0.815222\pi\)
0.836191 0.548439i \(-0.184778\pi\)
\(30\) −3.99096 + 1.07153i −0.728646 + 0.195633i
\(31\) −1.08115 1.87261i −0.194181 0.336331i 0.752451 0.658648i \(-0.228871\pi\)
−0.946632 + 0.322318i \(0.895538\pi\)
\(32\) −4.12325 + 3.87283i −0.728894 + 0.684626i
\(33\) −0.220410 + 0.381762i −0.0383685 + 0.0664562i
\(34\) −5.31650 + 8.07554i −0.911772 + 1.38494i
\(35\) −1.88238 + 5.60862i −0.318180 + 0.948030i
\(36\) 1.02169 + 2.37432i 0.170281 + 0.395720i
\(37\) −4.30421 + 7.45510i −0.707607 + 1.22561i 0.258135 + 0.966109i \(0.416892\pi\)
−0.965742 + 0.259503i \(0.916441\pi\)
\(38\) −0.0528107 + 0.899847i −0.00856703 + 0.145974i
\(39\) 1.46966 0.848507i 0.235334 0.135870i
\(40\) −3.92081 4.96259i −0.619934 0.784654i
\(41\) 5.28231i 0.824959i −0.910967 0.412479i \(-0.864663\pi\)
0.910967 0.412479i \(-0.135337\pi\)
\(42\) −4.81063 0.874175i −0.742296 0.134888i
\(43\) 10.6010i 1.61664i 0.588744 + 0.808320i \(0.299623\pi\)
−0.588744 + 0.808320i \(0.700377\pi\)
\(44\) −0.670050 0.0789204i −0.101014 0.0118977i
\(45\) −2.74236 + 0.911602i −0.408807 + 0.135894i
\(46\) −4.28057 0.251221i −0.631136 0.0370405i
\(47\) 7.78384 + 4.49400i 1.13539 + 0.655517i 0.945285 0.326247i \(-0.105784\pi\)
0.190105 + 0.981764i \(0.439117\pi\)
\(48\) 3.59373 3.79561i 0.518710 0.547849i
\(49\) −4.85214 + 5.04547i −0.693163 + 0.720781i
\(50\) 5.90215 3.89418i 0.834690 0.550720i
\(51\) 4.46689 7.73688i 0.625490 1.08338i
\(52\) 2.08198 + 1.55285i 0.288719 + 0.215342i
\(53\) 3.63168 + 6.29026i 0.498850 + 0.864034i 0.999999 0.00132737i \(-0.000422515\pi\)
−0.501149 + 0.865361i \(0.667089\pi\)
\(54\) −3.55694 7.09029i −0.484038 0.964866i
\(55\) 0.151837 0.738878i 0.0204737 0.0996303i
\(56\) −1.68125 7.29201i −0.224666 0.974436i
\(57\) 0.832900i 0.110320i
\(58\) −7.46668 + 3.74576i −0.980424 + 0.491843i
\(59\) 7.50354 4.33217i 0.976877 0.564000i 0.0755513 0.997142i \(-0.475928\pi\)
0.901326 + 0.433142i \(0.142595\pi\)
\(60\) 3.88530 + 4.36535i 0.501590 + 0.563565i
\(61\) −3.97207 + 6.87982i −0.508571 + 0.880871i 0.491380 + 0.870945i \(0.336493\pi\)
−0.999951 + 0.00992531i \(0.996841\pi\)
\(62\) −1.68151 + 2.55414i −0.213552 + 0.324376i
\(63\) −3.39433 0.413194i −0.427645 0.0520575i
\(64\) 7.51023 + 2.75616i 0.938779 + 0.344520i
\(65\) −1.92843 + 2.17110i −0.239192 + 0.269291i
\(66\) 0.622343 + 0.0365244i 0.0766052 + 0.00449585i
\(67\) 10.9447 6.31895i 1.33711 0.771983i 0.350735 0.936475i \(-0.385932\pi\)
0.986378 + 0.164492i \(0.0525985\pi\)
\(68\) 13.5794 + 1.59942i 1.64675 + 0.193958i
\(69\) 3.96211 0.476981
\(70\) 8.28337 1.17718i 0.990052 0.140700i
\(71\) 3.53507i 0.419536i −0.977751 0.209768i \(-0.932729\pi\)
0.977751 0.209768i \(-0.0672708\pi\)
\(72\) 2.35342 2.79713i 0.277353 0.329645i
\(73\) −5.93618 10.2818i −0.694777 1.20339i −0.970256 0.242082i \(-0.922170\pi\)
0.275479 0.961307i \(-0.411164\pi\)
\(74\) 12.1532 + 0.713255i 1.41278 + 0.0829142i
\(75\) −5.23347 + 3.91160i −0.604309 + 0.451673i
\(76\) 1.17096 0.503870i 0.134318 0.0577979i
\(77\) 0.536392 0.713356i 0.0611275 0.0812945i
\(78\) −2.00454 1.31968i −0.226969 0.149424i
\(79\) 8.96466 + 5.17575i 1.00860 + 0.582317i 0.910782 0.412887i \(-0.135479\pi\)
0.0978208 + 0.995204i \(0.468813\pi\)
\(80\) −3.78672 + 8.10313i −0.423368 + 0.905958i
\(81\) 1.72624 + 2.98993i 0.191804 + 0.332214i
\(82\) −6.67721 + 3.34971i −0.737374 + 0.369914i
\(83\) −3.76821 −0.413615 −0.206807 0.978382i \(-0.566307\pi\)
−0.206807 + 0.978382i \(0.566307\pi\)
\(84\) 1.94558 + 6.63531i 0.212280 + 0.723972i
\(85\) −3.07716 + 14.9743i −0.333765 + 1.62419i
\(86\) 13.4004 6.72250i 1.44500 0.724906i
\(87\) 6.68467 3.85940i 0.716672 0.413771i
\(88\) 0.325143 + 0.897036i 0.0346604 + 0.0956244i
\(89\) −6.43915 3.71765i −0.682549 0.394070i 0.118266 0.992982i \(-0.462266\pi\)
−0.800815 + 0.598912i \(0.795600\pi\)
\(90\) 2.89136 + 2.88845i 0.304776 + 0.304470i
\(91\) −3.16138 + 1.34580i −0.331403 + 0.141078i
\(92\) 2.39691 + 5.57025i 0.249895 + 0.580739i
\(93\) 1.41279 2.44703i 0.146500 0.253745i
\(94\) 0.744706 12.6891i 0.0768106 1.30878i
\(95\) 0.449580 + 1.35247i 0.0461259 + 0.138760i
\(96\) −7.07683 2.13578i −0.722276 0.217982i
\(97\) 6.03558 0.612820 0.306410 0.951900i \(-0.400872\pi\)
0.306410 + 0.951900i \(0.400872\pi\)
\(98\) 9.45474 + 2.93392i 0.955073 + 0.296371i
\(99\) 0.435982 0.0438178
\(100\) −8.66528 4.99128i −0.866528 0.499128i
\(101\) −0.757059 1.31127i −0.0753302 0.130476i 0.825900 0.563817i \(-0.190668\pi\)
−0.901230 + 0.433341i \(0.857334\pi\)
\(102\) −12.6126 0.740214i −1.24883 0.0732921i
\(103\) −6.60049 3.81079i −0.650366 0.375489i 0.138231 0.990400i \(-0.455858\pi\)
−0.788596 + 0.614911i \(0.789192\pi\)
\(104\) 0.642649 3.61649i 0.0630169 0.354626i
\(105\) −7.57706 + 1.53428i −0.739445 + 0.149731i
\(106\) 5.64834 8.57958i 0.548615 0.833323i
\(107\) 1.68270 + 0.971509i 0.162673 + 0.0939193i 0.579126 0.815238i \(-0.303394\pi\)
−0.416453 + 0.909157i \(0.636727\pi\)
\(108\) −6.70703 + 8.99243i −0.645384 + 0.865297i
\(109\) −1.32933 + 0.767488i −0.127326 + 0.0735120i −0.562310 0.826926i \(-0.690087\pi\)
0.434984 + 0.900438i \(0.356754\pi\)
\(110\) −1.03028 + 0.276618i −0.0982331 + 0.0263745i
\(111\) −11.2490 −1.06771
\(112\) −8.15146 + 6.74935i −0.770241 + 0.637753i
\(113\) 6.74556i 0.634569i 0.948330 + 0.317285i \(0.102771\pi\)
−0.948330 + 0.317285i \(0.897229\pi\)
\(114\) −1.05284 + 0.528173i −0.0986078 + 0.0494679i
\(115\) −6.43368 + 2.13865i −0.599944 + 0.199430i
\(116\) 9.46980 + 7.06308i 0.879249 + 0.655790i
\(117\) −1.45353 0.839193i −0.134378 0.0775834i
\(118\) −10.2344 6.73780i −0.942156 0.620265i
\(119\) −10.8707 + 14.4571i −0.996512 + 1.32528i
\(120\) 3.05429 7.67952i 0.278818 0.701041i
\(121\) 5.44310 9.42773i 0.494827 0.857066i
\(122\) 11.2154 + 0.658216i 1.01539 + 0.0595920i
\(123\) 5.97788 3.45133i 0.539007 0.311196i
\(124\) 4.29492 + 0.505867i 0.385695 + 0.0454282i
\(125\) 6.38674 9.17658i 0.571247 0.820778i
\(126\) 1.63016 + 4.55268i 0.145227 + 0.405585i
\(127\) −4.49296 −0.398686 −0.199343 0.979930i \(-0.563881\pi\)
−0.199343 + 0.979930i \(0.563881\pi\)
\(128\) −1.27854 11.2412i −0.113008 0.993594i
\(129\) −11.9969 + 6.92644i −1.05627 + 0.609839i
\(130\) 3.96730 + 1.06090i 0.347956 + 0.0930467i
\(131\) −4.26159 2.46043i −0.372336 0.214969i 0.302142 0.953263i \(-0.402298\pi\)
−0.674479 + 0.738294i \(0.735632\pi\)
\(132\) −0.348482 0.809846i −0.0303314 0.0704881i
\(133\) −0.203777 + 1.67400i −0.0176697 + 0.145154i
\(134\) −14.9281 9.82783i −1.28959 0.848995i
\(135\) −9.37732 8.32921i −0.807072 0.716864i
\(136\) −6.58944 18.1796i −0.565039 1.55889i
\(137\) 14.2291 8.21516i 1.21567 0.701868i 0.251682 0.967810i \(-0.419016\pi\)
0.963989 + 0.265942i \(0.0856829\pi\)
\(138\) −2.51252 5.00837i −0.213880 0.426341i
\(139\) 9.85042i 0.835502i 0.908562 + 0.417751i \(0.137182\pi\)
−0.908562 + 0.417751i \(0.862818\pi\)
\(140\) −6.74083 9.72426i −0.569704 0.821850i
\(141\) 11.7451i 0.989113i
\(142\) −4.46857 + 2.24172i −0.374994 + 0.188121i
\(143\) 0.379396 0.219044i 0.0317267 0.0183174i
\(144\) −5.02815 1.20112i −0.419013 0.100094i
\(145\) −8.77138 + 9.87513i −0.728423 + 0.820085i
\(146\) −9.23250 + 14.0238i −0.764087 + 1.16062i
\(147\) −8.88011 2.19448i −0.732419 0.180998i
\(148\) −6.80521 15.8148i −0.559385 1.29997i
\(149\) −12.5917 7.26981i −1.03155 0.595566i −0.114122 0.993467i \(-0.536405\pi\)
−0.917428 + 0.397901i \(0.869739\pi\)
\(150\) 8.26327 + 4.13498i 0.674693 + 0.337619i
\(151\) 6.58039 3.79919i 0.535504 0.309174i −0.207751 0.978182i \(-0.566614\pi\)
0.743255 + 0.669008i \(0.233281\pi\)
\(152\) −1.37947 1.16065i −0.111890 0.0941411i
\(153\) −8.83572 −0.714326
\(154\) −1.24188 0.225671i −0.100073 0.0181851i
\(155\) −0.973249 + 4.73609i −0.0781732 + 0.380412i
\(156\) −0.397014 + 3.37073i −0.0317865 + 0.269874i
\(157\) 15.6636 9.04339i 1.25009 0.721741i 0.278964 0.960302i \(-0.410009\pi\)
0.971128 + 0.238561i \(0.0766756\pi\)
\(158\) 0.857680 14.6141i 0.0682333 1.16263i
\(159\) −4.74570 + 8.21979i −0.376358 + 0.651872i
\(160\) 12.6442 0.351820i 0.999613 0.0278138i
\(161\) −7.96322 0.969367i −0.627589 0.0763968i
\(162\) 2.68480 4.07810i 0.210938 0.320406i
\(163\) −6.40416 3.69745i −0.501613 0.289606i 0.227766 0.973716i \(-0.426858\pi\)
−0.729379 + 0.684109i \(0.760191\pi\)
\(164\) 8.46853 + 6.31627i 0.661281 + 0.493218i
\(165\) 0.935378 0.310934i 0.0728191 0.0242062i
\(166\) 2.38956 + 4.76327i 0.185466 + 0.369702i
\(167\) 18.7215i 1.44872i 0.689424 + 0.724358i \(0.257864\pi\)
−0.689424 + 0.724358i \(0.742136\pi\)
\(168\) 7.15373 6.66705i 0.551922 0.514374i
\(169\) 11.3135 0.870269
\(170\) 20.8799 5.60601i 1.60141 0.429962i
\(171\) −0.713395 + 0.411879i −0.0545547 + 0.0314971i
\(172\) −16.9954 12.6761i −1.29589 0.966541i
\(173\) −8.41281 4.85714i −0.639614 0.369281i 0.144852 0.989453i \(-0.453729\pi\)
−0.784466 + 0.620172i \(0.787063\pi\)
\(174\) −9.11754 6.00250i −0.691199 0.455048i
\(175\) 11.4755 6.58129i 0.867465 0.497499i
\(176\) 0.927730 0.979847i 0.0699303 0.0738588i
\(177\) 9.80524 + 5.66106i 0.737007 + 0.425511i
\(178\) −0.616055 + 10.4970i −0.0461753 + 0.786785i
\(179\) 1.19445 + 2.06885i 0.0892775 + 0.154633i 0.907206 0.420687i \(-0.138211\pi\)
−0.817928 + 0.575320i \(0.804878\pi\)
\(180\) 1.81768 5.48655i 0.135482 0.408944i
\(181\) 9.87158 0.733749 0.366874 0.930270i \(-0.380428\pi\)
0.366874 + 0.930270i \(0.380428\pi\)
\(182\) 3.70593 + 3.14278i 0.274702 + 0.232958i
\(183\) −10.3810 −0.767385
\(184\) 5.52121 6.56216i 0.407029 0.483769i
\(185\) 18.2662 6.07197i 1.34296 0.446420i
\(186\) −3.98912 0.234116i −0.292497 0.0171662i
\(187\) 1.15314 1.99730i 0.0843260 0.146057i
\(188\) −16.5122 + 7.10528i −1.20427 + 0.518206i
\(189\) −5.81274 13.6545i −0.422815 0.993220i
\(190\) 1.42451 1.42595i 0.103345 0.103449i
\(191\) 11.1524 + 6.43881i 0.806956 + 0.465896i 0.845898 0.533345i \(-0.179065\pi\)
−0.0389418 + 0.999241i \(0.512399\pi\)
\(192\) 1.78791 + 10.3000i 0.129031 + 0.743336i
\(193\) 4.28850 2.47597i 0.308693 0.178224i −0.337649 0.941272i \(-0.609632\pi\)
0.646341 + 0.763048i \(0.276298\pi\)
\(194\) −3.82738 7.62938i −0.274790 0.547758i
\(195\) −3.71697 0.763823i −0.266178 0.0546985i
\(196\) −2.28692 13.8120i −0.163352 0.986568i
\(197\) 6.56633 0.467831 0.233916 0.972257i \(-0.424846\pi\)
0.233916 + 0.972257i \(0.424846\pi\)
\(198\) −0.276472 0.551111i −0.0196480 0.0391657i
\(199\) 13.8184 + 23.9342i 0.979560 + 1.69665i 0.663983 + 0.747748i \(0.268865\pi\)
0.315577 + 0.948900i \(0.397802\pi\)
\(200\) −0.814346 + 14.1187i −0.0575830 + 0.998341i
\(201\) 14.3020 + 8.25729i 1.00879 + 0.582424i
\(202\) −1.17745 + 1.78850i −0.0828451 + 0.125838i
\(203\) −14.3794 + 6.12132i −1.00924 + 0.429632i
\(204\) 7.06242 + 16.4126i 0.494468 + 1.14911i
\(205\) −7.84395 + 8.83100i −0.547845 + 0.616784i
\(206\) −0.631491 + 10.7600i −0.0439981 + 0.749688i
\(207\) −1.95931 3.39362i −0.136181 0.235873i
\(208\) −4.97902 + 1.48100i −0.345233 + 0.102689i
\(209\) 0.215015i 0.0148729i
\(210\) 6.74433 + 8.60497i 0.465403 + 0.593800i
\(211\) −16.2713 −1.12016 −0.560080 0.828439i \(-0.689230\pi\)
−0.560080 + 0.828439i \(0.689230\pi\)
\(212\) −14.4270 1.69925i −0.990851 0.116705i
\(213\) 4.00056 2.30973i 0.274114 0.158260i
\(214\) 0.160990 2.74312i 0.0110050 0.187516i
\(215\) 15.7419 17.7228i 1.07359 1.20869i
\(216\) 15.6202 + 2.77571i 1.06282 + 0.188863i
\(217\) −3.43819 + 4.57250i −0.233399 + 0.310401i
\(218\) 1.81313 + 1.19367i 0.122801 + 0.0808455i
\(219\) 7.75709 13.4357i 0.524176 0.907899i
\(220\) 1.00300 + 1.12693i 0.0676224 + 0.0759775i
\(221\) −7.68895 + 4.43921i −0.517214 + 0.298614i
\(222\) 7.13343 + 14.2196i 0.478765 + 0.954354i
\(223\) 1.78444i 0.119495i 0.998214 + 0.0597475i \(0.0190296\pi\)
−0.998214 + 0.0597475i \(0.980970\pi\)
\(224\) 13.7008 + 6.02400i 0.915422 + 0.402495i
\(225\) 5.93838 + 2.54824i 0.395892 + 0.169882i
\(226\) 8.52686 4.27761i 0.567198 0.284543i
\(227\) −10.5973 18.3551i −0.703368 1.21827i −0.967277 0.253722i \(-0.918345\pi\)
0.263909 0.964548i \(-0.414988\pi\)
\(228\) 1.33529 + 0.995932i 0.0884320 + 0.0659572i
\(229\) 4.07746 7.06236i 0.269446 0.466694i −0.699273 0.714855i \(-0.746493\pi\)
0.968719 + 0.248161i \(0.0798261\pi\)
\(230\) 6.78324 + 6.77642i 0.447274 + 0.446824i
\(231\) 1.15775 + 0.140934i 0.0761746 + 0.00927279i
\(232\) 2.92306 16.4494i 0.191908 1.07996i
\(233\) 23.4709 + 13.5509i 1.53763 + 0.887750i 0.998977 + 0.0452221i \(0.0143995\pi\)
0.538652 + 0.842528i \(0.318934\pi\)
\(234\) −0.139064 + 2.36952i −0.00909088 + 0.154900i
\(235\) −6.33971 19.0717i −0.413557 1.24410i
\(236\) −2.02701 + 17.2097i −0.131947 + 1.12026i
\(237\) 13.5268i 0.878661i
\(238\) 25.1682 + 4.57350i 1.63141 + 0.296456i
\(239\) 18.6789i 1.20824i −0.796894 0.604119i \(-0.793525\pi\)
0.796894 0.604119i \(-0.206475\pi\)
\(240\) −11.6443 + 1.00903i −0.751635 + 0.0651327i
\(241\) −17.4676 + 10.0849i −1.12518 + 0.649625i −0.942719 0.333587i \(-0.891741\pi\)
−0.182465 + 0.983212i \(0.558408\pi\)
\(242\) −15.3690 0.901982i −0.987955 0.0579816i
\(243\) 6.15789 10.6658i 0.395029 0.684210i
\(244\) −6.28007 14.5944i −0.402040 0.934313i
\(245\) 15.6041 1.22987i 0.996908 0.0785736i
\(246\) −8.15351 5.36783i −0.519849 0.342241i
\(247\) −0.413870 + 0.716843i −0.0263339 + 0.0456116i
\(248\) −2.08412 5.74986i −0.132341 0.365116i
\(249\) −2.46205 4.26440i −0.156026 0.270245i
\(250\) −15.6499 2.25407i −0.989786 0.142560i
\(251\) 21.5319i 1.35908i 0.733637 + 0.679542i \(0.237821\pi\)
−0.733637 + 0.679542i \(0.762179\pi\)
\(252\) 4.72116 4.94767i 0.297405 0.311674i
\(253\) 1.02283 0.0643047
\(254\) 2.84916 + 5.67942i 0.178772 + 0.356358i
\(255\) −18.9566 + 6.30147i −1.18711 + 0.394613i
\(256\) −13.3989 + 8.74464i −0.837433 + 0.546540i
\(257\) 4.89663 8.48121i 0.305443 0.529043i −0.671917 0.740627i \(-0.734529\pi\)
0.977360 + 0.211583i \(0.0678620\pi\)
\(258\) 16.3632 + 10.7726i 1.01873 + 0.670676i
\(259\) 22.6088 + 2.75219i 1.40484 + 0.171013i
\(260\) −1.17477 5.68770i −0.0728560 0.352736i
\(261\) −6.61130 3.81703i −0.409229 0.236268i
\(262\) −0.407720 + 6.94719i −0.0251890 + 0.429199i
\(263\) 8.74263 + 15.1427i 0.539094 + 0.933737i 0.998953 + 0.0457458i \(0.0145664\pi\)
−0.459860 + 0.887992i \(0.652100\pi\)
\(264\) −0.802716 + 0.954058i −0.0494038 + 0.0587182i
\(265\) 3.26923 15.9089i 0.200827 0.977279i
\(266\) 2.24527 0.803957i 0.137667 0.0492938i
\(267\) 9.71606i 0.594613i
\(268\) −2.95662 + 25.1023i −0.180604 + 1.53337i
\(269\) −9.86300 17.0832i −0.601358 1.04158i −0.992616 0.121301i \(-0.961293\pi\)
0.391258 0.920281i \(-0.372040\pi\)
\(270\) −4.58219 + 17.1354i −0.278863 + 1.04283i
\(271\) 2.58340 4.47458i 0.156930 0.271811i −0.776830 0.629710i \(-0.783174\pi\)
0.933760 + 0.357899i \(0.116507\pi\)
\(272\) −18.8016 + 19.8578i −1.14002 + 1.20406i
\(273\) −3.58858 2.69835i −0.217191 0.163312i
\(274\) −19.4077 12.7770i −1.17246 0.771886i
\(275\) −1.35104 + 1.00979i −0.0814705 + 0.0608927i
\(276\) −4.73765 + 6.35199i −0.285173 + 0.382345i
\(277\) −7.49971 12.9899i −0.450614 0.780486i 0.547810 0.836603i \(-0.315462\pi\)
−0.998424 + 0.0561162i \(0.982128\pi\)
\(278\) 12.4516 6.24652i 0.746798 0.374641i
\(279\) −2.79457 −0.167307
\(280\) −8.01753 + 14.6874i −0.479139 + 0.877739i
\(281\) 23.7107 1.41446 0.707232 0.706981i \(-0.249944\pi\)
0.707232 + 0.706981i \(0.249944\pi\)
\(282\) 14.8466 7.44798i 0.884100 0.443521i
\(283\) −5.91985 10.2535i −0.351899 0.609506i 0.634683 0.772772i \(-0.281131\pi\)
−0.986582 + 0.163266i \(0.947797\pi\)
\(284\) 5.66738 + 4.22703i 0.336297 + 0.250828i
\(285\) −1.23681 + 1.39245i −0.0732624 + 0.0824814i
\(286\) −0.517477 0.340679i −0.0305990 0.0201448i
\(287\) −12.8590 + 5.47409i −0.759043 + 0.323125i
\(288\) 1.67024 + 7.11761i 0.0984196 + 0.419409i
\(289\) −14.8699 + 25.7553i −0.874697 + 1.51502i
\(290\) 18.0451 + 4.82544i 1.05964 + 0.283360i
\(291\) 3.94349 + 6.83033i 0.231172 + 0.400401i
\(292\) 23.5817 + 2.77752i 1.38001 + 0.162542i
\(293\) 5.93168i 0.346533i −0.984875 0.173266i \(-0.944568\pi\)
0.984875 0.173266i \(-0.0554321\pi\)
\(294\) 2.85723 + 12.6167i 0.166637 + 0.735819i
\(295\) −18.9775 3.89980i −1.10491 0.227055i
\(296\) −15.6756 + 18.6310i −0.911124 + 1.08291i
\(297\) 0.946090 + 1.63868i 0.0548977 + 0.0950856i
\(298\) −1.20469 + 20.5268i −0.0697857 + 1.18909i
\(299\) −3.41002 1.96878i −0.197207 0.113857i
\(300\) −0.0131522 13.0675i −0.000759341 0.754452i
\(301\) 25.8066 10.9859i 1.48747 0.633216i
\(302\) −8.97530 5.90886i −0.516471 0.340017i
\(303\) 0.989287 1.71350i 0.0568331 0.0984377i
\(304\) −0.592364 + 2.47976i −0.0339744 + 0.142224i
\(305\) 16.8567 5.60342i 0.965211 0.320851i
\(306\) 5.60306 + 11.1690i 0.320305 + 0.638487i
\(307\) 8.83855 0.504443 0.252221 0.967670i \(-0.418839\pi\)
0.252221 + 0.967670i \(0.418839\pi\)
\(308\) 0.502257 + 1.71292i 0.0286188 + 0.0976029i
\(309\) 9.95951i 0.566577i
\(310\) 6.60392 1.77308i 0.375077 0.100704i
\(311\) −11.3386 19.6391i −0.642955 1.11363i −0.984770 0.173864i \(-0.944375\pi\)
0.341814 0.939768i \(-0.388959\pi\)
\(312\) 4.51259 1.63565i 0.255475 0.0926005i
\(313\) −10.2270 + 17.7137i −0.578064 + 1.00124i 0.417637 + 0.908614i \(0.362858\pi\)
−0.995701 + 0.0926229i \(0.970475\pi\)
\(314\) −21.3643 14.0651i −1.20566 0.793741i
\(315\) 5.06109 + 5.73117i 0.285160 + 0.322915i
\(316\) −19.0171 + 8.18317i −1.06980 + 0.460339i
\(317\) 1.04378 1.80788i 0.0586245 0.101541i −0.835224 0.549910i \(-0.814662\pi\)
0.893848 + 0.448370i \(0.147995\pi\)
\(318\) 13.3998 + 0.786415i 0.751424 + 0.0441000i
\(319\) 1.72567 0.996314i 0.0966188 0.0557829i
\(320\) −8.46289 15.7601i −0.473090 0.881014i
\(321\) 2.53904i 0.141715i
\(322\) 3.82442 + 10.6808i 0.213127 + 0.595216i
\(323\) 4.35756i 0.242461i
\(324\) −6.85754 0.807700i −0.380974 0.0448722i
\(325\) 6.44792 0.766035i 0.357666 0.0424920i
\(326\) −0.612708 + 10.4400i −0.0339348 + 0.578218i
\(327\) −1.73710 1.00291i −0.0960617 0.0554613i
\(328\) 2.61400 14.7102i 0.144334 0.812234i
\(329\) 2.87354 23.6058i 0.158424 1.30143i
\(330\) −0.986200 0.985208i −0.0542885 0.0542339i
\(331\) −6.62025 + 11.4666i −0.363882 + 0.630262i −0.988596 0.150591i \(-0.951882\pi\)
0.624714 + 0.780854i \(0.285216\pi\)
\(332\) 4.50580 6.04114i 0.247288 0.331551i
\(333\) 5.56278 + 9.63502i 0.304839 + 0.527996i
\(334\) 23.6653 11.8720i 1.29491 0.649608i
\(335\) −27.6808 5.68830i −1.51236 0.310785i
\(336\) −12.9640 4.81498i −0.707247 0.262679i
\(337\) 13.0464i 0.710681i 0.934737 + 0.355341i \(0.115635\pi\)
−0.934737 + 0.355341i \(0.884365\pi\)
\(338\) −7.17431 14.3010i −0.390231 0.777874i
\(339\) −7.63381 + 4.40738i −0.414612 + 0.239376i
\(340\) −20.3271 22.8386i −1.10239 1.23860i
\(341\) 0.364717 0.631708i 0.0197505 0.0342089i
\(342\) 0.973033 + 0.640593i 0.0526156 + 0.0346393i
\(343\) 17.3107 + 6.58317i 0.934692 + 0.355458i
\(344\) −5.24600 + 29.5217i −0.282845 + 1.59170i
\(345\) −6.62387 5.88351i −0.356617 0.316758i
\(346\) −0.804882 + 13.7145i −0.0432707 + 0.737294i
\(347\) −22.2014 + 12.8180i −1.19184 + 0.688107i −0.958723 0.284343i \(-0.908225\pi\)
−0.233113 + 0.972450i \(0.574891\pi\)
\(348\) −1.80580 + 15.3316i −0.0968010 + 0.821860i
\(349\) 24.9774 1.33701 0.668505 0.743708i \(-0.266935\pi\)
0.668505 + 0.743708i \(0.266935\pi\)
\(350\) −15.5962 10.3324i −0.833654 0.552287i
\(351\) 7.28427i 0.388806i
\(352\) −1.82690 0.551358i −0.0973742 0.0293875i
\(353\) 4.78385 + 8.28587i 0.254619 + 0.441012i 0.964792 0.263015i \(-0.0847168\pi\)
−0.710173 + 0.704027i \(0.751383\pi\)
\(354\) 0.938101 15.9844i 0.0498595 0.849561i
\(355\) −5.24939 + 5.90995i −0.278609 + 0.313668i
\(356\) 13.6596 5.87782i 0.723959 0.311524i
\(357\) −23.4634 2.85621i −1.24181 0.151167i
\(358\) 1.85772 2.82180i 0.0981838 0.149137i
\(359\) 17.0899 + 9.86683i 0.901968 + 0.520752i 0.877838 0.478957i \(-0.158985\pi\)
0.0241299 + 0.999709i \(0.492318\pi\)
\(360\) −8.08804 + 1.18155i −0.426277 + 0.0622732i
\(361\) −9.29687 16.1027i −0.489309 0.847508i
\(362\) −6.25994 12.4784i −0.329015 0.655848i
\(363\) 14.2255 0.746647
\(364\) 1.62262 6.67751i 0.0850482 0.349996i
\(365\) −5.34373 + 26.0040i −0.279703 + 1.36111i
\(366\) 6.58297 + 13.1223i 0.344097 + 0.685913i
\(367\) 8.78783 5.07365i 0.458721 0.264843i −0.252785 0.967522i \(-0.581347\pi\)
0.711506 + 0.702680i \(0.248013\pi\)
\(368\) −11.7962 2.81788i −0.614921 0.146892i
\(369\) −5.91226 3.41345i −0.307780 0.177697i
\(370\) −19.2587 19.2393i −1.00121 1.00020i
\(371\) 11.5492 15.3594i 0.599603 0.797422i
\(372\) 2.23371 + 5.19099i 0.115813 + 0.269140i
\(373\) 9.28187 16.0767i 0.480597 0.832419i −0.519155 0.854680i \(-0.673753\pi\)
0.999752 + 0.0222614i \(0.00708662\pi\)
\(374\) −3.25597 0.191088i −0.168362 0.00988094i
\(375\) 14.5579 + 1.23199i 0.751765 + 0.0636195i
\(376\) 19.4525 + 16.3668i 1.00319 + 0.844053i
\(377\) −7.67097 −0.395075
\(378\) −13.5742 + 16.0065i −0.698181 + 0.823288i
\(379\) 23.9371 1.22956 0.614782 0.788697i \(-0.289244\pi\)
0.614782 + 0.788697i \(0.289244\pi\)
\(380\) −2.70583 0.896437i −0.138806 0.0459862i
\(381\) −2.93559 5.08459i −0.150395 0.260491i
\(382\) 1.06698 18.1804i 0.0545916 0.930192i
\(383\) −19.1286 11.0439i −0.977428 0.564318i −0.0759355 0.997113i \(-0.524194\pi\)
−0.901493 + 0.432794i \(0.857528\pi\)
\(384\) 11.8861 8.79163i 0.606560 0.448646i
\(385\) −1.95604 + 0.396080i −0.0996889 + 0.0201861i
\(386\) −5.84929 3.85086i −0.297721 0.196003i
\(387\) 11.8653 + 6.85041i 0.603145 + 0.348226i
\(388\) −7.21698 + 9.67615i −0.366387 + 0.491232i
\(389\) −2.69778 + 1.55757i −0.136783 + 0.0789717i −0.566830 0.823835i \(-0.691830\pi\)
0.430047 + 0.902807i \(0.358497\pi\)
\(390\) 1.39154 + 5.18287i 0.0704635 + 0.262445i
\(391\) −20.7289 −1.04831
\(392\) −16.0090 + 11.6495i −0.808578 + 0.588388i
\(393\) 6.43032i 0.324367i
\(394\) −4.16395 8.30029i −0.209777 0.418163i
\(395\) −7.30146 21.9649i −0.367376 1.10517i
\(396\) −0.521321 + 0.698959i −0.0261973 + 0.0351240i
\(397\) 21.1570 + 12.2150i 1.06184 + 0.613054i 0.925941 0.377668i \(-0.123274\pi\)
0.135900 + 0.990723i \(0.456607\pi\)
\(398\) 21.4917 32.6449i 1.07728 1.63634i
\(399\) −2.02757 + 0.863139i −0.101506 + 0.0432110i
\(400\) 18.3634 7.92378i 0.918169 0.396189i
\(401\) −12.5658 + 21.7647i −0.627508 + 1.08688i 0.360542 + 0.932743i \(0.382592\pi\)
−0.988050 + 0.154133i \(0.950742\pi\)
\(402\) 1.36832 23.3150i 0.0682458 1.16285i
\(403\) −2.43187 + 1.40404i −0.121140 + 0.0699402i
\(404\) 3.00745 + 0.354226i 0.149626 + 0.0176234i
\(405\) 1.55395 7.56194i 0.0772165 0.375756i
\(406\) 16.8563 + 14.2948i 0.836563 + 0.709438i
\(407\) −2.90397 −0.143945
\(408\) 16.2681 19.3352i 0.805389 0.957235i
\(409\) 9.63575 5.56320i 0.476457 0.275083i −0.242482 0.970156i \(-0.577961\pi\)
0.718939 + 0.695073i \(0.244628\pi\)
\(410\) 16.1371 + 4.31523i 0.796956 + 0.213114i
\(411\) 18.5938 + 10.7352i 0.917166 + 0.529526i
\(412\) 14.0019 6.02509i 0.689823 0.296835i
\(413\) −18.3220 13.7768i −0.901566 0.677912i
\(414\) −3.04730 + 4.62872i −0.149767 + 0.227489i
\(415\) 6.29971 + 5.59559i 0.309241 + 0.274677i
\(416\) 5.02946 + 5.35467i 0.246590 + 0.262534i
\(417\) −11.1475 + 6.43602i −0.545896 + 0.315173i
\(418\) −0.271794 + 0.136349i −0.0132939 + 0.00666906i
\(419\) 4.05377i 0.198040i −0.995085 0.0990198i \(-0.968429\pi\)
0.995085 0.0990198i \(-0.0315707\pi\)
\(420\) 6.60045 13.9820i 0.322069 0.682253i
\(421\) 22.4223i 1.09279i 0.837526 + 0.546397i \(0.184001\pi\)
−0.837526 + 0.546397i \(0.815999\pi\)
\(422\) 10.3182 + 20.5680i 0.502283 + 1.00123i
\(423\) 10.0599 5.80807i 0.489128 0.282398i
\(424\) 7.00073 + 19.3143i 0.339985 + 0.937985i
\(425\) 27.3805 20.4647i 1.32815 0.992684i
\(426\) −5.45656 3.59230i −0.264371 0.174048i
\(427\) 20.8642 + 2.53981i 1.00969 + 0.122910i
\(428\) −3.56959 + 1.53601i −0.172542 + 0.0742460i
\(429\) 0.495776 + 0.286236i 0.0239363 + 0.0138196i
\(430\) −32.3854 8.66019i −1.56176 0.417631i
\(431\) 14.0817 8.13005i 0.678289 0.391611i −0.120921 0.992662i \(-0.538585\pi\)
0.799210 + 0.601052i \(0.205251\pi\)
\(432\) −6.39668 21.5052i −0.307760 1.03467i
\(433\) 2.53783 0.121960 0.0609801 0.998139i \(-0.480577\pi\)
0.0609801 + 0.998139i \(0.480577\pi\)
\(434\) 7.96024 + 1.44651i 0.382104 + 0.0694349i
\(435\) −16.9065 3.47422i −0.810603 0.166576i
\(436\) 0.359105 3.04888i 0.0171980 0.146015i
\(437\) −1.67365 + 0.966283i −0.0800616 + 0.0462236i
\(438\) −21.9027 1.28544i −1.04655 0.0614206i
\(439\) −11.3888 + 19.7261i −0.543560 + 0.941473i 0.455136 + 0.890422i \(0.349591\pi\)
−0.998696 + 0.0510514i \(0.983743\pi\)
\(440\) 0.788475 1.98249i 0.0375891 0.0945115i
\(441\) 2.51170 + 8.69118i 0.119605 + 0.413866i
\(442\) 10.4873 + 6.90429i 0.498831 + 0.328403i
\(443\) 1.64896 + 0.952029i 0.0783446 + 0.0452323i 0.538661 0.842523i \(-0.318931\pi\)
−0.460316 + 0.887755i \(0.652264\pi\)
\(444\) 13.4509 18.0343i 0.638353 0.855870i
\(445\) 5.24451 + 15.7770i 0.248613 + 0.747900i
\(446\) 2.25566 1.13158i 0.106808 0.0535819i
\(447\) 18.9996i 0.898652i
\(448\) −1.07342 21.1388i −0.0507145 0.998713i
\(449\) −22.8903 −1.08026 −0.540130 0.841582i \(-0.681625\pi\)
−0.540130 + 0.841582i \(0.681625\pi\)
\(450\) −0.544597 9.12245i −0.0256725 0.430036i
\(451\) 1.54321 0.890970i 0.0726667 0.0419542i
\(452\) −10.8144 8.06594i −0.508666 0.379390i
\(453\) 8.59892 + 4.96459i 0.404012 + 0.233257i
\(454\) −16.4819 + 25.0354i −0.773535 + 1.17497i
\(455\) 7.28365 + 2.44456i 0.341463 + 0.114603i
\(456\) 0.412167 2.31946i 0.0193015 0.108619i
\(457\) −32.0413 18.4990i −1.49883 0.865349i −0.498829 0.866701i \(-0.666236\pi\)
−0.999999 + 0.00135206i \(0.999570\pi\)
\(458\) −11.5130 0.675680i −0.537966 0.0315725i
\(459\) −19.1737 33.2098i −0.894952 1.55010i
\(460\) 4.26435 12.8717i 0.198826 0.600144i
\(461\) −7.04683 −0.328204 −0.164102 0.986443i \(-0.552473\pi\)
−0.164102 + 0.986443i \(0.552473\pi\)
\(462\) −0.556025 1.55285i −0.0258686 0.0722453i
\(463\) 36.8182 1.71109 0.855543 0.517731i \(-0.173223\pi\)
0.855543 + 0.517731i \(0.173223\pi\)
\(464\) −22.6468 + 6.73625i −1.05135 + 0.312723i
\(465\) −5.99563 + 1.99304i −0.278041 + 0.0924249i
\(466\) 2.24554 38.2620i 0.104023 1.77245i
\(467\) −13.6516 + 23.6452i −0.631719 + 1.09417i 0.355481 + 0.934683i \(0.384317\pi\)
−0.987200 + 0.159486i \(0.949016\pi\)
\(468\) 3.08342 1.32681i 0.142531 0.0613320i
\(469\) −26.7247 20.0950i −1.23403 0.927901i
\(470\) −20.0877 + 20.1079i −0.926575 + 0.927508i
\(471\) 20.4684 + 11.8174i 0.943134 + 0.544519i
\(472\) 23.0397 8.35104i 1.06049 0.384388i
\(473\) −3.09704 + 1.78808i −0.142402 + 0.0822160i
\(474\) 17.0988 8.57786i 0.785375 0.393994i
\(475\) 1.25673 2.92866i 0.0576626 0.134376i
\(476\) −10.1789 34.7146i −0.466548 1.59114i
\(477\) 9.38722 0.429811
\(478\) −23.6114 + 11.8450i −1.07996 + 0.541777i
\(479\) 8.50010 + 14.7226i 0.388379 + 0.672693i 0.992232 0.124403i \(-0.0397017\pi\)
−0.603852 + 0.797096i \(0.706368\pi\)
\(480\) 8.65956 + 14.0793i 0.395253 + 0.642630i
\(481\) 9.68159 + 5.58967i 0.441443 + 0.254867i
\(482\) 23.8248 + 15.6850i 1.08519 + 0.714431i
\(483\) −4.10595 9.64516i −0.186827 0.438870i
\(484\) 8.60587 + 19.9994i 0.391176 + 0.909064i
\(485\) −10.0903 8.96251i −0.458177 0.406966i
\(486\) −17.3872 1.02043i −0.788701 0.0462877i
\(487\) −19.8165 34.3232i −0.897973 1.55533i −0.830082 0.557642i \(-0.811706\pi\)
−0.0678912 0.997693i \(-0.521627\pi\)
\(488\) −14.4659 + 17.1933i −0.654843 + 0.778305i
\(489\) 9.66327i 0.436988i
\(490\) −11.4498 18.9447i −0.517248 0.855836i
\(491\) −42.8252 −1.93267 −0.966337 0.257280i \(-0.917174\pi\)
−0.966337 + 0.257280i \(0.917174\pi\)
\(492\) −1.61487 + 13.7105i −0.0728038 + 0.618119i
\(493\) −34.9728 + 20.1916i −1.57510 + 0.909383i
\(494\) 1.16859 + 0.0685828i 0.0525773 + 0.00308569i
\(495\) −0.728876 0.647409i −0.0327606 0.0290989i
\(496\) −5.94660 + 6.28066i −0.267010 + 0.282010i
\(497\) −8.60561 + 3.66342i −0.386014 + 0.164327i
\(498\) −3.82922 + 5.81642i −0.171591 + 0.260640i
\(499\) −0.363871 + 0.630243i −0.0162891 + 0.0282136i −0.874055 0.485827i \(-0.838519\pi\)
0.857766 + 0.514040i \(0.171852\pi\)
\(500\) 7.07488 + 21.2119i 0.316398 + 0.948626i
\(501\) −21.1868 + 12.2322i −0.946555 + 0.546494i
\(502\) 27.2178 13.6542i 1.21479 0.609416i
\(503\) 4.71017i 0.210016i −0.994471 0.105008i \(-0.966513\pi\)
0.994471 0.105008i \(-0.0334868\pi\)
\(504\) −9.24805 2.83037i −0.411941 0.126075i
\(505\) −0.681503 + 3.31637i −0.0303265 + 0.147577i
\(506\) −0.648614 1.29293i −0.0288344 0.0574776i
\(507\) 7.39196 + 12.8032i 0.328288 + 0.568612i
\(508\) 5.37242 7.20306i 0.238363 0.319584i
\(509\) −16.9005 + 29.2726i −0.749103 + 1.29749i 0.199150 + 0.979969i \(0.436182\pi\)
−0.948253 + 0.317516i \(0.897151\pi\)
\(510\) 19.9866 + 19.9665i 0.885021 + 0.884131i
\(511\) −18.8777 + 25.1058i −0.835101 + 1.11061i
\(512\) 19.5506 + 11.3919i 0.864022 + 0.503454i
\(513\) −3.09617 1.78757i −0.136699 0.0789232i
\(514\) −13.8260 0.811426i −0.609837 0.0357905i
\(515\) 5.37591 + 16.1723i 0.236891 + 0.712636i
\(516\) 3.24086 27.5155i 0.142671 1.21130i
\(517\) 3.03202i 0.133348i
\(518\) −10.8581 30.3244i −0.477079 1.33238i
\(519\) 12.6941i 0.557210i
\(520\) −6.44468 + 5.09177i −0.282618 + 0.223289i
\(521\) −1.19800 + 0.691667i −0.0524855 + 0.0303025i −0.526013 0.850476i \(-0.676314\pi\)
0.473528 + 0.880779i \(0.342980\pi\)
\(522\) −0.632525 + 10.7777i −0.0276849 + 0.471725i
\(523\) 10.5809 18.3267i 0.462671 0.801370i −0.536422 0.843950i \(-0.680224\pi\)
0.999093 + 0.0425801i \(0.0135578\pi\)
\(524\) 9.04027 3.89008i 0.394926 0.169939i
\(525\) 14.9457 + 8.68650i 0.652284 + 0.379110i
\(526\) 13.5974 20.6538i 0.592873 0.900549i
\(527\) −7.39145 + 12.8024i −0.321977 + 0.557680i
\(528\) 1.71503 + 0.409685i 0.0746370 + 0.0178292i
\(529\) 6.90339 + 11.9570i 0.300147 + 0.519871i
\(530\) −22.1831 + 5.95592i −0.963574 + 0.258709i
\(531\) 11.1978i 0.485945i
\(532\) −2.44007 2.32836i −0.105790 0.100947i
\(533\) −6.85989 −0.297135
\(534\) −12.2818 + 6.16132i −0.531484 + 0.266626i
\(535\) −1.37051 4.12290i −0.0592525 0.178248i
\(536\) 33.6059 12.1809i 1.45155 0.526136i
\(537\) −1.56085 + 2.70347i −0.0673556 + 0.116663i
\(538\) −15.3399 + 23.3006i −0.661349 + 1.00456i
\(539\) −2.29243 0.566512i −0.0987418 0.0244014i
\(540\) 24.5661 5.07402i 1.05716 0.218351i
\(541\) 2.03605 + 1.17551i 0.0875366 + 0.0505393i 0.543129 0.839649i \(-0.317239\pi\)
−0.455593 + 0.890188i \(0.650573\pi\)
\(542\) −7.29440 0.428098i −0.313321 0.0183884i
\(543\) 6.44984 + 11.1715i 0.276789 + 0.479413i
\(544\) 37.0245 + 11.1740i 1.58741 + 0.479080i
\(545\) 3.36206 + 0.690890i 0.144015 + 0.0295945i
\(546\) −1.13525 + 6.24734i −0.0485842 + 0.267361i
\(547\) 37.9822i 1.62400i 0.583656 + 0.812001i \(0.301622\pi\)
−0.583656 + 0.812001i \(0.698378\pi\)
\(548\) −3.84385 + 32.6350i −0.164201 + 1.39410i
\(549\) 5.13352 + 8.89152i 0.219093 + 0.379481i
\(550\) 2.13319 + 1.06746i 0.0909594 + 0.0455165i
\(551\) −1.88247 + 3.26053i −0.0801958 + 0.138903i
\(552\) 11.0337 + 1.96068i 0.469624 + 0.0834521i
\(553\) 3.30947 27.1868i 0.140733 1.15610i
\(554\) −11.6643 + 17.7175i −0.495567 + 0.752745i
\(555\) 18.8062 + 16.7042i 0.798279 + 0.709055i
\(556\) −15.7921 11.7785i −0.669733 0.499522i
\(557\) −12.5827 21.7938i −0.533144 0.923433i −0.999251 0.0387043i \(-0.987677\pi\)
0.466106 0.884729i \(-0.345656\pi\)
\(558\) 1.77214 + 3.53253i 0.0750208 + 0.149544i
\(559\) 13.7670 0.582284
\(560\) 23.6501 + 0.820891i 0.999398 + 0.0346890i
\(561\) 3.01373 0.127240
\(562\) −15.0359 29.9720i −0.634250 1.26429i
\(563\) 22.7306 + 39.3705i 0.957980 + 1.65927i 0.727396 + 0.686218i \(0.240731\pi\)
0.230585 + 0.973052i \(0.425936\pi\)
\(564\) −18.8295 14.0440i −0.792866 0.591361i
\(565\) 10.0168 11.2773i 0.421410 0.474438i
\(566\) −9.20711 + 13.9852i −0.387004 + 0.587842i
\(567\) 5.48963 7.30074i 0.230543 0.306602i
\(568\) 1.74936 9.84447i 0.0734015 0.413065i
\(569\) −5.41670 + 9.38201i −0.227080 + 0.393314i −0.956941 0.290281i \(-0.906251\pi\)
0.729861 + 0.683595i \(0.239585\pi\)
\(570\) 2.54446 + 0.680413i 0.106576 + 0.0284994i
\(571\) 0.714547 + 1.23763i 0.0299029 + 0.0517933i 0.880590 0.473880i \(-0.157147\pi\)
−0.850687 + 0.525673i \(0.823814\pi\)
\(572\) −0.102490 + 0.870163i −0.00428533 + 0.0363833i
\(573\) 16.8278i 0.702993i
\(574\) 15.0740 + 12.7833i 0.629177 + 0.533567i
\(575\) 13.9316 + 5.97826i 0.580990 + 0.249311i
\(576\) 7.93798 6.62483i 0.330749 0.276035i
\(577\) 7.32076 + 12.6799i 0.304767 + 0.527872i 0.977209 0.212277i \(-0.0680880\pi\)
−0.672442 + 0.740149i \(0.734755\pi\)
\(578\) 41.9861 + 2.46410i 1.74639 + 0.102493i
\(579\) 5.60399 + 3.23547i 0.232894 + 0.134461i
\(580\) −5.34338 25.8702i −0.221872 1.07420i
\(581\) 3.90502 + 9.17314i 0.162007 + 0.380566i
\(582\) 6.13329 9.31621i 0.254233 0.386169i
\(583\) −1.22512 + 2.12196i −0.0507391 + 0.0878827i
\(584\) −11.4431 31.5702i −0.473517 1.30638i
\(585\) 1.18385 + 3.56138i 0.0489464 + 0.147245i
\(586\) −7.49806 + 3.76150i −0.309742 + 0.155386i
\(587\) −20.7299 −0.855616 −0.427808 0.903870i \(-0.640714\pi\)
−0.427808 + 0.903870i \(0.640714\pi\)
\(588\) 14.1365 11.6124i 0.582978 0.478889i
\(589\) 1.37821i 0.0567884i
\(590\) 7.10471 + 26.4619i 0.292496 + 1.08942i
\(591\) 4.29027 + 7.43097i 0.176478 + 0.305669i
\(592\) 33.4913 + 8.00040i 1.37649 + 0.328814i
\(593\) −0.830997 + 1.43933i −0.0341249 + 0.0591061i −0.882583 0.470156i \(-0.844198\pi\)
0.848459 + 0.529262i \(0.177531\pi\)
\(594\) 1.47145 2.23507i 0.0603742 0.0917059i
\(595\) 39.6416 8.02706i 1.62515 0.329077i
\(596\) 26.7112 11.4940i 1.09413 0.470812i
\(597\) −18.0572 + 31.2760i −0.739031 + 1.28004i
\(598\) −0.326249 + 5.55898i −0.0133413 + 0.227324i
\(599\) −31.9015 + 18.4183i −1.30346 + 0.752553i −0.980996 0.194029i \(-0.937844\pi\)
−0.322464 + 0.946582i \(0.604511\pi\)
\(600\) −16.5099 + 8.30320i −0.674012 + 0.338977i
\(601\) 36.8443i 1.50291i −0.659785 0.751455i \(-0.729353\pi\)
0.659785 0.751455i \(-0.270647\pi\)
\(602\) −30.2519 25.6548i −1.23297 1.04561i
\(603\) 16.3333i 0.665143i
\(604\) −1.77763 + 15.0924i −0.0723307 + 0.614102i
\(605\) −23.0995 + 7.67861i −0.939127 + 0.312180i
\(606\) −2.79332 0.163936i −0.113471 0.00665944i
\(607\) 16.7562 + 9.67418i 0.680112 + 0.392663i 0.799897 0.600137i \(-0.204887\pi\)
−0.119785 + 0.992800i \(0.538221\pi\)
\(608\) 3.51023 0.823720i 0.142359 0.0334062i
\(609\) −16.3225 12.2733i −0.661421 0.497340i
\(610\) −17.7726 17.7547i −0.719590 0.718866i
\(611\) 5.83615 10.1085i 0.236105 0.408946i
\(612\) 10.5652 14.1653i 0.427074 0.572598i
\(613\) 6.61363 + 11.4551i 0.267122 + 0.462669i 0.968117 0.250497i \(-0.0805940\pi\)
−0.700995 + 0.713166i \(0.747261\pi\)
\(614\) −5.60485 11.1725i −0.226193 0.450887i
\(615\) −15.1189 3.10688i −0.609652 0.125281i
\(616\) 1.84675 1.72112i 0.0744079 0.0693458i
\(617\) 12.0831i 0.486448i −0.969970 0.243224i \(-0.921795\pi\)
0.969970 0.243224i \(-0.0782049\pi\)
\(618\) −12.5895 + 6.31569i −0.506424 + 0.254054i
\(619\) −10.4861 + 6.05415i −0.421472 + 0.243337i −0.695707 0.718326i \(-0.744909\pi\)
0.274235 + 0.961663i \(0.411575\pi\)
\(620\) −6.42908 7.22343i −0.258198 0.290100i
\(621\) 8.50348 14.7285i 0.341233 0.591033i
\(622\) −17.6349 + 26.7867i −0.707096 + 1.07405i
\(623\) −2.37713 + 19.5278i −0.0952376 + 0.782364i
\(624\) −4.92918 4.66700i −0.197325 0.186830i
\(625\) −24.3041 + 5.85749i −0.972164 + 0.234300i
\(626\) 28.8766 + 1.69473i 1.15414 + 0.0677350i
\(627\) 0.243328 0.140486i 0.00971760 0.00561046i
\(628\) −4.23137 + 35.9252i −0.168850 + 1.43357i
\(629\) 58.8527 2.34661
\(630\) 4.03518 10.0319i 0.160765 0.399681i
\(631\) 3.98549i 0.158660i −0.996848 0.0793299i \(-0.974722\pi\)
0.996848 0.0793299i \(-0.0252780\pi\)
\(632\) 22.4035 + 18.8497i 0.891165 + 0.749800i
\(633\) −10.6312 18.4138i −0.422554 0.731884i
\(634\) −2.94718 0.172966i −0.117048 0.00686935i
\(635\) 7.51136 + 6.67181i 0.298079 + 0.264763i
\(636\) −7.50323 17.4370i −0.297523 0.691421i
\(637\) 6.55231 + 6.30125i 0.259612 + 0.249664i
\(638\) −2.35372 1.54956i −0.0931846 0.0613477i
\(639\) −3.95665 2.28437i −0.156523 0.0903684i
\(640\) −14.5552 + 20.6917i −0.575343 + 0.817912i
\(641\) −3.32962 5.76707i −0.131512 0.227786i 0.792748 0.609550i \(-0.208650\pi\)
−0.924260 + 0.381764i \(0.875317\pi\)
\(642\) 3.20952 1.61010i 0.126670 0.0635455i
\(643\) 22.3506 0.881421 0.440711 0.897649i \(-0.354727\pi\)
0.440711 + 0.897649i \(0.354727\pi\)
\(644\) 11.0760 11.6074i 0.436456 0.457396i
\(645\) 30.3419 + 6.23516i 1.19471 + 0.245509i
\(646\) 5.50826 2.76329i 0.216719 0.108720i
\(647\) 9.62380 5.55631i 0.378351 0.218441i −0.298750 0.954331i \(-0.596570\pi\)
0.677100 + 0.735891i \(0.263236\pi\)
\(648\) 3.32763 + 9.18059i 0.130722 + 0.360648i
\(649\) 2.53125 + 1.46142i 0.0993603 + 0.0573657i
\(650\) −5.05719 7.66484i −0.198359 0.300640i
\(651\) −7.42102 0.903366i −0.290853 0.0354057i
\(652\) 13.5854 5.84588i 0.532046 0.228942i
\(653\) 7.41053 12.8354i 0.289997 0.502289i −0.683812 0.729658i \(-0.739679\pi\)
0.973809 + 0.227369i \(0.0730125\pi\)
\(654\) −0.166194 + 2.83180i −0.00649870 + 0.110732i
\(655\) 3.47094 + 10.4416i 0.135621 + 0.407986i
\(656\) −20.2523 + 6.02401i −0.790720 + 0.235198i
\(657\) −15.3439 −0.598622
\(658\) −31.6615 + 11.3369i −1.23429 + 0.441960i
\(659\) −0.263237 −0.0102542 −0.00512712 0.999987i \(-0.501632\pi\)
−0.00512712 + 0.999987i \(0.501632\pi\)
\(660\) −0.619985 + 1.87138i −0.0241329 + 0.0728434i
\(661\) 13.3229 + 23.0759i 0.518199 + 0.897547i 0.999776 + 0.0211434i \(0.00673066\pi\)
−0.481577 + 0.876404i \(0.659936\pi\)
\(662\) 18.6927 + 1.09705i 0.726514 + 0.0426380i
\(663\) −10.0475 5.80094i −0.390214 0.225290i
\(664\) −10.4937 1.86473i −0.407235 0.0723655i
\(665\) 2.82647 2.49600i 0.109606 0.0967909i
\(666\) 8.65176 13.1417i 0.335249 0.509229i
\(667\) −15.5103 8.95490i −0.600563 0.346735i
\(668\) −30.0141 22.3861i −1.16128 0.866144i
\(669\) −2.01941 + 1.16591i −0.0780750 + 0.0450766i
\(670\) 10.3630 + 38.5976i 0.400358 + 1.49115i
\(671\) −2.67988 −0.103456
\(672\) 2.13452 + 19.4408i 0.0823407 + 0.749945i
\(673\) 36.5349i 1.40832i −0.710043 0.704158i \(-0.751324\pi\)
0.710043 0.704158i \(-0.248676\pi\)
\(674\) 16.4915 8.27319i 0.635230 0.318671i
\(675\) 3.30863 + 27.8496i 0.127349 + 1.07193i
\(676\) −13.5280 + 18.1376i −0.520308 + 0.697602i
\(677\) −17.0196 9.82627i −0.654116 0.377654i 0.135915 0.990720i \(-0.456602\pi\)
−0.790031 + 0.613066i \(0.789936\pi\)
\(678\) 10.4121 + 6.85478i 0.399875 + 0.263256i
\(679\) −6.25470 14.6927i −0.240033 0.563855i
\(680\) −15.9794 + 40.1777i −0.612784 + 1.54074i
\(681\) 13.8480 23.9855i 0.530658 0.919126i
\(682\) −1.02980 0.0604376i −0.0394332 0.00231428i
\(683\) −5.62027 + 3.24486i −0.215054 + 0.124161i −0.603658 0.797244i \(-0.706291\pi\)
0.388604 + 0.921405i \(0.372957\pi\)
\(684\) 0.192717 1.63620i 0.00736871 0.0625618i
\(685\) −35.9873 7.39526i −1.37500 0.282558i
\(686\) −2.65580 26.0566i −0.101399 0.994846i
\(687\) 10.6564 0.406568
\(688\) 40.6442 12.0895i 1.54954 0.460908i
\(689\) 8.16886 4.71630i 0.311209 0.179677i
\(690\) −3.23673 + 12.1040i −0.123220 + 0.460791i
\(691\) −14.9183 8.61308i −0.567518 0.327657i 0.188639 0.982046i \(-0.439592\pi\)
−0.756158 + 0.654390i \(0.772926\pi\)
\(692\) 17.8464 7.67942i 0.678419 0.291928i
\(693\) −0.451810 1.06133i −0.0171629 0.0403167i
\(694\) 30.2816 + 19.9358i 1.14947 + 0.756752i
\(695\) 14.6274 16.4680i 0.554847 0.624667i
\(696\) 20.5253 7.43969i 0.778011 0.282001i
\(697\) −31.2750 + 18.0566i −1.18463 + 0.683944i
\(698\) −15.8391 31.5732i −0.599519 1.19506i
\(699\) 35.4153i 1.33953i
\(700\) −3.17065 + 26.2668i −0.119839 + 0.992793i
\(701\) 20.0480i 0.757201i −0.925560 0.378600i \(-0.876405\pi\)
0.925560 0.378600i \(-0.123595\pi\)
\(702\) −9.20782 + 4.61923i −0.347527 + 0.174342i
\(703\) 4.75176 2.74343i 0.179216 0.103470i
\(704\) 0.461553 + 2.65897i 0.0173954 + 0.100214i
\(705\) 17.4408 19.6355i 0.656858 0.739514i
\(706\) 7.44029 11.3015i 0.280019 0.425337i
\(707\) −2.40754 + 3.20182i −0.0905447 + 0.120417i
\(708\) −20.8003 + 8.95047i −0.781721 + 0.336379i
\(709\) −13.6342 7.87172i −0.512044 0.295629i 0.221630 0.975131i \(-0.428862\pi\)
−0.733673 + 0.679502i \(0.762196\pi\)
\(710\) 10.7994 + 2.88787i 0.405295 + 0.108380i
\(711\) 11.5860 6.68917i 0.434508 0.250863i
\(712\) −16.0920 13.5394i −0.603075 0.507409i
\(713\) −6.55617 −0.245531
\(714\) 11.2685 + 31.4705i 0.421715 + 1.17776i
\(715\) −0.959546 0.197183i −0.0358850 0.00737423i
\(716\) −4.74501 0.558880i −0.177329 0.0208863i
\(717\) 21.1385 12.2043i 0.789432 0.455779i
\(718\) 1.63504 27.8597i 0.0610193 1.03971i
\(719\) 11.4051 19.7541i 0.425337 0.736705i −0.571115 0.820870i \(-0.693489\pi\)
0.996452 + 0.0841652i \(0.0268223\pi\)
\(720\) 6.62249 + 9.47458i 0.246806 + 0.353097i
\(721\) −2.43669 + 20.0171i −0.0907471 + 0.745474i
\(722\) −14.4594 + 21.9632i −0.538122 + 0.817385i
\(723\) −22.8257 13.1784i −0.848898 0.490111i
\(724\) −11.8038 + 15.8260i −0.438687 + 0.588168i
\(725\) 29.3281 3.48427i 1.08922 0.129403i
\(726\) −9.02094 17.9821i −0.334799 0.667377i
\(727\) 43.1926i 1.60193i 0.598714 + 0.800963i \(0.295679\pi\)
−0.598714 + 0.800963i \(0.704321\pi\)
\(728\) −9.46979 + 2.18336i −0.350974 + 0.0809205i
\(729\) 26.4511 0.979669
\(730\) 36.2595 9.73527i 1.34202 0.360318i
\(731\) 62.7655 36.2377i 2.32147 1.34030i
\(732\) 12.4130 16.6427i 0.458797 0.615130i
\(733\) 12.9526 + 7.47818i 0.478415 + 0.276213i 0.719756 0.694227i \(-0.244254\pi\)
−0.241341 + 0.970440i \(0.577587\pi\)
\(734\) −11.9861 7.89103i −0.442416 0.291263i
\(735\) 11.5871 + 16.8552i 0.427398 + 0.621715i
\(736\) 3.91844 + 16.6982i 0.144435 + 0.615503i
\(737\) 3.69211 + 2.13164i 0.136001 + 0.0785200i
\(738\) −0.565646 + 9.63810i −0.0208217 + 0.354783i
\(739\) −1.37228 2.37687i −0.0504803 0.0874344i 0.839681 0.543080i \(-0.182742\pi\)
−0.890161 + 0.455645i \(0.849409\pi\)
\(740\) −12.1072 + 36.5447i −0.445068 + 1.34341i
\(741\) −1.08165 −0.0397353
\(742\) −26.7391 4.85897i −0.981624 0.178378i
\(743\) −20.5678 −0.754559 −0.377279 0.926099i \(-0.623140\pi\)
−0.377279 + 0.926099i \(0.623140\pi\)
\(744\) 5.14528 6.11536i 0.188635 0.224200i
\(745\) 10.2556 + 30.8517i 0.375735 + 1.13032i
\(746\) −26.2080 1.53811i −0.959543 0.0563142i
\(747\) −2.43503 + 4.21759i −0.0890930 + 0.154314i
\(748\) 1.82318 + 4.23695i 0.0666622 + 0.154918i
\(749\) 0.621200 5.10307i 0.0226982 0.186462i
\(750\) −7.67437 19.1834i −0.280228 0.700479i
\(751\) −31.6827 18.2920i −1.15612 0.667486i −0.205748 0.978605i \(-0.565963\pi\)
−0.950371 + 0.311119i \(0.899296\pi\)
\(752\) 8.35317 34.9681i 0.304609 1.27516i
\(753\) −24.3672 + 14.0684i −0.887991 + 0.512682i
\(754\) 4.86445 + 9.69663i 0.177153 + 0.353130i
\(755\) −16.6427 3.42002i −0.605691 0.124467i
\(756\) 28.8413 + 7.00835i 1.04895 + 0.254891i
\(757\) −34.7609 −1.26341 −0.631704 0.775210i \(-0.717644\pi\)
−0.631704 + 0.775210i \(0.717644\pi\)
\(758\) −15.1794 30.2581i −0.551340 1.09902i
\(759\) 0.668291 + 1.15751i 0.0242574 + 0.0420151i
\(760\) 0.582712 + 3.98883i 0.0211372 + 0.144690i
\(761\) −7.09181 4.09446i −0.257078 0.148424i 0.365923 0.930645i \(-0.380753\pi\)
−0.623001 + 0.782221i \(0.714087\pi\)
\(762\) −4.56571 + 6.93512i −0.165398 + 0.251233i
\(763\) 3.24592 + 2.44070i 0.117510 + 0.0883593i
\(764\) −23.6579 + 10.1801i −0.855914 + 0.368305i
\(765\) 14.7716 + 13.1206i 0.534069 + 0.474375i
\(766\) −1.83010 + 31.1833i −0.0661243 + 1.12670i
\(767\) −5.62598 9.74449i −0.203142 0.351853i
\(768\) −18.6506 9.44975i −0.672997 0.340988i
\(769\) 29.2850i 1.05604i 0.849231 + 0.528021i \(0.177066\pi\)
−0.849231 + 0.528021i \(0.822934\pi\)
\(770\) 1.74107 + 2.22140i 0.0627438 + 0.0800536i
\(771\) 12.7973 0.460885
\(772\) −1.15850 + 9.83587i −0.0416952 + 0.354001i
\(773\) −14.5234 + 8.38511i −0.522372 + 0.301591i −0.737904 0.674905i \(-0.764185\pi\)
0.215533 + 0.976497i \(0.430851\pi\)
\(774\) 1.13519