Properties

Label 216.2.t.a.85.32
Level $216$
Weight $2$
Character 216.85
Analytic conductor $1.725$
Analytic rank $0$
Dimension $204$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.t (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 85.32
Character \(\chi\) \(=\) 216.85
Dual form 216.2.t.a.61.32

$q$-expansion

\(f(q)\) \(=\) \(q+(1.38417 + 0.289933i) q^{2} +(0.504582 - 1.65692i) q^{3} +(1.83188 + 0.802635i) q^{4} +(1.79524 + 0.316550i) q^{5} +(1.17883 - 2.14718i) q^{6} +(-1.94813 + 1.63467i) q^{7} +(2.30293 + 1.64211i) q^{8} +(-2.49079 - 1.67211i) q^{9} +O(q^{10})\) \(q+(1.38417 + 0.289933i) q^{2} +(0.504582 - 1.65692i) q^{3} +(1.83188 + 0.802635i) q^{4} +(1.79524 + 0.316550i) q^{5} +(1.17883 - 2.14718i) q^{6} +(-1.94813 + 1.63467i) q^{7} +(2.30293 + 1.64211i) q^{8} +(-2.49079 - 1.67211i) q^{9} +(2.39315 + 0.958661i) q^{10} +(-5.63103 + 0.992903i) q^{11} +(2.25424 - 2.63029i) q^{12} +(-0.682424 - 1.87494i) q^{13} +(-3.17050 + 1.69785i) q^{14} +(1.43035 - 2.81486i) q^{15} +(2.71155 + 2.94066i) q^{16} +(2.21968 - 3.84459i) q^{17} +(-2.96289 - 3.03665i) q^{18} +(-1.29228 + 0.746096i) q^{19} +(3.03460 + 2.02081i) q^{20} +(1.72554 + 4.05273i) q^{21} +(-8.08220 - 0.258270i) q^{22} +(6.26949 + 5.26073i) q^{23} +(3.88287 - 2.98720i) q^{24} +(-1.57576 - 0.573531i) q^{25} +(-0.400986 - 2.79311i) q^{26} +(-4.02737 + 3.28334i) q^{27} +(-4.88078 + 1.43089i) q^{28} +(0.689760 - 1.89510i) q^{29} +(2.79597 - 3.48155i) q^{30} +(-4.79066 - 4.01984i) q^{31} +(2.90067 + 4.85655i) q^{32} +(-1.19615 + 9.83119i) q^{33} +(4.18710 - 4.67803i) q^{34} +(-4.01482 + 2.31796i) q^{35} +(-3.22074 - 5.06230i) q^{36} +(0.718291 + 0.414705i) q^{37} +(-2.00505 + 0.658054i) q^{38} +(-3.45098 + 0.184661i) q^{39} +(3.61451 + 3.67698i) q^{40} +(1.05045 - 0.382332i) q^{41} +(1.21343 + 6.10997i) q^{42} +(-4.19886 + 0.740373i) q^{43} +(-11.1123 - 2.70079i) q^{44} +(-3.94228 - 3.79031i) q^{45} +(7.15282 + 9.09950i) q^{46} +(6.51974 - 5.47071i) q^{47} +(6.24065 - 3.00903i) q^{48} +(-0.0924913 + 0.524544i) q^{49} +(-2.01485 - 1.25073i) q^{50} +(-5.25019 - 5.61775i) q^{51} +(0.254779 - 3.98241i) q^{52} +11.7603i q^{53} +(-6.52653 + 3.37705i) q^{54} -10.4234 q^{55} +(-7.17071 + 0.565498i) q^{56} +(0.584165 + 2.51767i) q^{57} +(1.50420 - 2.42317i) q^{58} +(12.4851 + 2.20146i) q^{59} +(4.87953 - 4.00843i) q^{60} +(4.29895 + 5.12329i) q^{61} +(-5.46563 - 6.95313i) q^{62} +(7.58574 - 0.814153i) q^{63} +(2.60696 + 7.56332i) q^{64} +(-0.631604 - 3.58201i) q^{65} +(-4.50607 + 13.2613i) q^{66} +(-4.70174 - 12.9179i) q^{67} +(7.15199 - 5.26124i) q^{68} +(11.8801 - 7.73361i) q^{69} +(-6.22927 + 2.04443i) q^{70} +(2.72262 - 4.71571i) q^{71} +(-2.99034 - 7.94090i) q^{72} +(-2.95706 - 5.12178i) q^{73} +(0.874003 + 0.782281i) q^{74} +(-1.74540 + 2.32153i) q^{75} +(-2.96614 + 0.329531i) q^{76} +(9.34690 - 11.1392i) q^{77} +(-4.83030 - 0.744949i) q^{78} +(-4.43939 - 1.61581i) q^{79} +(3.93704 + 6.13755i) q^{80} +(3.40811 + 8.32975i) q^{81} +(1.56485 - 0.224655i) q^{82} +(-0.707528 + 1.94392i) q^{83} +(-0.0918848 + 8.80908i) q^{84} +(5.20187 - 6.19935i) q^{85} +(-6.02661 - 0.192583i) q^{86} +(-2.79200 - 2.09911i) q^{87} +(-14.5983 - 6.96018i) q^{88} +(-0.113091 - 0.195879i) q^{89} +(-4.35787 - 6.38944i) q^{90} +(4.39437 + 2.53709i) q^{91} +(7.26250 + 14.6691i) q^{92} +(-9.07785 + 5.90942i) q^{93} +(10.6106 - 5.68213i) q^{94} +(-2.55613 + 0.930355i) q^{95} +(9.51057 - 2.35566i) q^{96} +(0.744043 + 4.21968i) q^{97} +(-0.280107 + 0.699245i) q^{98} +(15.6860 + 6.94258i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} - 3q^{10} + 3q^{12} - 21q^{14} - 12q^{15} - 6q^{16} - 6q^{17} - 27q^{18} + 15q^{20} - 6q^{22} - 12q^{23} - 12q^{25} - 30q^{26} - 12q^{28} - 39q^{30} - 12q^{31} - 36q^{32} - 36q^{36} - 42q^{38} - 12q^{39} - 21q^{40} - 24q^{41} - 66q^{42} + 21q^{44} - 3q^{46} - 12q^{47} + 51q^{48} - 12q^{49} - 99q^{50} - 33q^{52} - 90q^{54} - 24q^{55} + 99q^{56} - 30q^{57} + 21q^{58} + 102q^{60} - 36q^{62} - 72q^{63} - 3q^{64} - 12q^{65} - 9q^{66} + 75q^{68} + 9q^{70} - 90q^{71} + 60q^{72} - 6q^{73} + 9q^{74} - 18q^{76} + 12q^{78} - 12q^{79} + 78q^{80} - 12q^{81} - 12q^{82} + 102q^{84} - 30q^{86} - 48q^{87} - 30q^{88} - 6q^{89} + 6q^{90} + 111q^{92} - 33q^{94} - 42q^{95} + 126q^{96} - 12q^{97} + 54q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.38417 + 0.289933i 0.978759 + 0.205013i
\(3\) 0.504582 1.65692i 0.291321 0.956625i
\(4\) 1.83188 + 0.802635i 0.915939 + 0.401318i
\(5\) 1.79524 + 0.316550i 0.802858 + 0.141566i 0.559996 0.828495i \(-0.310803\pi\)
0.242862 + 0.970061i \(0.421914\pi\)
\(6\) 1.17883 2.14718i 0.481254 0.876581i
\(7\) −1.94813 + 1.63467i −0.736323 + 0.617849i −0.931847 0.362850i \(-0.881804\pi\)
0.195524 + 0.980699i \(0.437359\pi\)
\(8\) 2.30293 + 1.64211i 0.814208 + 0.580573i
\(9\) −2.49079 1.67211i −0.830265 0.557369i
\(10\) 2.39315 + 0.958661i 0.756782 + 0.303155i
\(11\) −5.63103 + 0.992903i −1.69782 + 0.299371i −0.936932 0.349512i \(-0.886347\pi\)
−0.760888 + 0.648883i \(0.775236\pi\)
\(12\) 2.25424 2.63029i 0.650743 0.759298i
\(13\) −0.682424 1.87494i −0.189270 0.520016i 0.808370 0.588675i \(-0.200350\pi\)
−0.997640 + 0.0686590i \(0.978128\pi\)
\(14\) −3.17050 + 1.69785i −0.847351 + 0.453769i
\(15\) 1.43035 2.81486i 0.369314 0.726793i
\(16\) 2.71155 + 2.94066i 0.677888 + 0.735165i
\(17\) 2.21968 3.84459i 0.538351 0.932451i −0.460642 0.887586i \(-0.652381\pi\)
0.998993 0.0448653i \(-0.0142859\pi\)
\(18\) −2.96289 3.03665i −0.698361 0.715746i
\(19\) −1.29228 + 0.746096i −0.296469 + 0.171166i −0.640855 0.767662i \(-0.721420\pi\)
0.344387 + 0.938828i \(0.388087\pi\)
\(20\) 3.03460 + 2.02081i 0.678556 + 0.451866i
\(21\) 1.72554 + 4.05273i 0.376544 + 0.884378i
\(22\) −8.08220 0.258270i −1.72313 0.0550634i
\(23\) 6.26949 + 5.26073i 1.30728 + 1.09694i 0.988838 + 0.148996i \(0.0476041\pi\)
0.318442 + 0.947942i \(0.396840\pi\)
\(24\) 3.88287 2.98720i 0.792587 0.609759i
\(25\) −1.57576 0.573531i −0.315153 0.114706i
\(26\) −0.400986 2.79311i −0.0786398 0.547773i
\(27\) −4.02737 + 3.28334i −0.775067 + 0.631879i
\(28\) −4.88078 + 1.43089i −0.922381 + 0.270412i
\(29\) 0.689760 1.89510i 0.128085 0.351911i −0.859029 0.511926i \(-0.828932\pi\)
0.987115 + 0.160015i \(0.0511543\pi\)
\(30\) 2.79597 3.48155i 0.510472 0.635641i
\(31\) −4.79066 4.01984i −0.860428 0.721985i 0.101632 0.994822i \(-0.467594\pi\)
−0.962060 + 0.272837i \(0.912038\pi\)
\(32\) 2.90067 + 4.85655i 0.512771 + 0.858526i
\(33\) −1.19615 + 9.83119i −0.208224 + 1.71139i
\(34\) 4.18710 4.67803i 0.718081 0.802276i
\(35\) −4.01482 + 2.31796i −0.678629 + 0.391807i
\(36\) −3.22074 5.06230i −0.536789 0.843716i
\(37\) 0.718291 + 0.414705i 0.118086 + 0.0681771i 0.557880 0.829922i \(-0.311615\pi\)
−0.439793 + 0.898099i \(0.644948\pi\)
\(38\) −2.00505 + 0.658054i −0.325263 + 0.106750i
\(39\) −3.45098 + 0.184661i −0.552599 + 0.0295694i
\(40\) 3.61451 + 3.67698i 0.571504 + 0.581382i
\(41\) 1.05045 0.382332i 0.164052 0.0597102i −0.258688 0.965961i \(-0.583290\pi\)
0.422741 + 0.906251i \(0.361068\pi\)
\(42\) 1.21343 + 6.10997i 0.187236 + 0.942789i
\(43\) −4.19886 + 0.740373i −0.640320 + 0.112906i −0.484376 0.874860i \(-0.660953\pi\)
−0.155945 + 0.987766i \(0.549842\pi\)
\(44\) −11.1123 2.70079i −1.67524 0.407159i
\(45\) −3.94228 3.79031i −0.587680 0.565025i
\(46\) 7.15282 + 9.09950i 1.05463 + 1.34165i
\(47\) 6.51974 5.47071i 0.951001 0.797985i −0.0284648 0.999595i \(-0.509062\pi\)
0.979466 + 0.201610i \(0.0646174\pi\)
\(48\) 6.24065 3.00903i 0.900760 0.434317i
\(49\) −0.0924913 + 0.524544i −0.0132130 + 0.0749349i
\(50\) −2.01485 1.25073i −0.284942 0.176880i
\(51\) −5.25019 5.61775i −0.735174 0.786643i
\(52\) 0.254779 3.98241i 0.0353315 0.552260i
\(53\) 11.7603i 1.61540i 0.589590 + 0.807702i \(0.299289\pi\)
−0.589590 + 0.807702i \(0.700711\pi\)
\(54\) −6.52653 + 3.37705i −0.888148 + 0.459558i
\(55\) −10.4234 −1.40549
\(56\) −7.17071 + 0.565498i −0.958227 + 0.0755678i
\(57\) 0.584165 + 2.51767i 0.0773746 + 0.333474i
\(58\) 1.50420 2.42317i 0.197511 0.318177i
\(59\) 12.4851 + 2.20146i 1.62542 + 0.286606i 0.910783 0.412885i \(-0.135479\pi\)
0.714641 + 0.699491i \(0.246590\pi\)
\(60\) 4.87953 4.00843i 0.629944 0.517486i
\(61\) 4.29895 + 5.12329i 0.550424 + 0.655970i 0.967491 0.252906i \(-0.0813863\pi\)
−0.417067 + 0.908876i \(0.636942\pi\)
\(62\) −5.46563 6.95313i −0.694135 0.883049i
\(63\) 7.58574 0.814153i 0.955713 0.102574i
\(64\) 2.60696 + 7.56332i 0.325870 + 0.945415i
\(65\) −0.631604 3.58201i −0.0783409 0.444293i
\(66\) −4.50607 + 13.2613i −0.554659 + 1.63235i
\(67\) −4.70174 12.9179i −0.574409 1.57818i −0.797462 0.603369i \(-0.793825\pi\)
0.223053 0.974806i \(-0.428398\pi\)
\(68\) 7.15199 5.26124i 0.867306 0.638019i
\(69\) 11.8801 7.73361i 1.43020 0.931017i
\(70\) −6.22927 + 2.04443i −0.744540 + 0.244356i
\(71\) 2.72262 4.71571i 0.323115 0.559652i −0.658014 0.753006i \(-0.728603\pi\)
0.981129 + 0.193354i \(0.0619365\pi\)
\(72\) −2.99034 7.94090i −0.352414 0.935844i
\(73\) −2.95706 5.12178i −0.346097 0.599458i 0.639455 0.768828i \(-0.279160\pi\)
−0.985553 + 0.169370i \(0.945827\pi\)
\(74\) 0.874003 + 0.782281i 0.101601 + 0.0909383i
\(75\) −1.74540 + 2.32153i −0.201541 + 0.268067i
\(76\) −2.96614 + 0.329531i −0.340239 + 0.0377997i
\(77\) 9.34690 11.1392i 1.06518 1.26943i
\(78\) −4.83030 0.744949i −0.546923 0.0843489i
\(79\) −4.43939 1.61581i −0.499471 0.181792i 0.0799853 0.996796i \(-0.474513\pi\)
−0.579456 + 0.815004i \(0.696735\pi\)
\(80\) 3.93704 + 6.13755i 0.440174 + 0.686199i
\(81\) 3.40811 + 8.32975i 0.378679 + 0.925528i
\(82\) 1.56485 0.224655i 0.172809 0.0248089i
\(83\) −0.707528 + 1.94392i −0.0776613 + 0.213373i −0.972447 0.233122i \(-0.925106\pi\)
0.894786 + 0.446495i \(0.147328\pi\)
\(84\) −0.0918848 + 8.80908i −0.0100255 + 0.961150i
\(85\) 5.20187 6.19935i 0.564222 0.672414i
\(86\) −6.02661 0.192583i −0.649867 0.0207668i
\(87\) −2.79200 2.09911i −0.299333 0.225049i
\(88\) −14.5983 6.96018i −1.55619 0.741958i
\(89\) −0.113091 0.195879i −0.0119876 0.0207632i 0.859969 0.510346i \(-0.170483\pi\)
−0.871957 + 0.489582i \(0.837149\pi\)
\(90\) −4.35787 6.38944i −0.459360 0.673506i
\(91\) 4.39437 + 2.53709i 0.460655 + 0.265959i
\(92\) 7.26250 + 14.6691i 0.757168 + 1.52936i
\(93\) −9.07785 + 5.90942i −0.941329 + 0.612778i
\(94\) 10.6106 5.68213i 1.09440 0.586067i
\(95\) −2.55613 + 0.930355i −0.262253 + 0.0954524i
\(96\) 9.51057 2.35566i 0.970668 0.240423i
\(97\) 0.744043 + 4.21968i 0.0755461 + 0.428443i 0.998999 + 0.0447316i \(0.0142432\pi\)
−0.923453 + 0.383712i \(0.874646\pi\)
\(98\) −0.280107 + 0.699245i −0.0282951 + 0.0706344i
\(99\) 15.6860 + 6.94258i 1.57650 + 0.697755i
\(100\) −2.42627 2.31540i −0.242627 0.231540i
\(101\) 2.86220 + 3.41104i 0.284800 + 0.339411i 0.889410 0.457110i \(-0.151116\pi\)
−0.604610 + 0.796522i \(0.706671\pi\)
\(102\) −5.63841 9.29815i −0.558286 0.920654i
\(103\) −1.25251 + 7.10332i −0.123413 + 0.699911i 0.858824 + 0.512270i \(0.171195\pi\)
−0.982238 + 0.187641i \(0.939916\pi\)
\(104\) 1.50729 5.43848i 0.147802 0.533287i
\(105\) 1.81487 + 7.82186i 0.177114 + 0.763335i
\(106\) −3.40970 + 16.2783i −0.331180 + 1.58109i
\(107\) 9.77154i 0.944650i −0.881424 0.472325i \(-0.843415\pi\)
0.881424 0.472325i \(-0.156585\pi\)
\(108\) −10.0130 + 2.78217i −0.963498 + 0.267715i
\(109\) 1.90767i 0.182722i 0.995818 + 0.0913610i \(0.0291217\pi\)
−0.995818 + 0.0913610i \(0.970878\pi\)
\(110\) −14.4278 3.02208i −1.37563 0.288144i
\(111\) 1.04957 0.980900i 0.0996210 0.0931029i
\(112\) −10.0895 1.29628i −0.953366 0.122487i
\(113\) 1.59626 9.05282i 0.150163 0.851617i −0.812912 0.582386i \(-0.802119\pi\)
0.963076 0.269231i \(-0.0867697\pi\)
\(114\) 0.0786309 + 3.65427i 0.00736446 + 0.342253i
\(115\) 9.58999 + 11.4289i 0.894272 + 1.06575i
\(116\) 2.78463 2.91797i 0.258547 0.270926i
\(117\) −1.43533 + 5.81119i −0.132697 + 0.537244i
\(118\) 16.6433 + 6.66705i 1.53214 + 0.613752i
\(119\) 1.96044 + 11.1182i 0.179713 + 1.01921i
\(120\) 7.91629 4.13363i 0.722655 0.377347i
\(121\) 20.3860 7.41991i 1.85328 0.674537i
\(122\) 4.46509 + 8.33793i 0.404250 + 0.754881i
\(123\) −0.103457 1.93343i −0.00932844 0.174332i
\(124\) −5.54944 11.2090i −0.498354 1.00660i
\(125\) −10.5409 6.08578i −0.942806 0.544329i
\(126\) 10.7360 + 1.07242i 0.956442 + 0.0955391i
\(127\) 5.00992 + 8.67744i 0.444559 + 0.769998i 0.998021 0.0628756i \(-0.0200271\pi\)
−0.553463 + 0.832874i \(0.686694\pi\)
\(128\) 1.41563 + 11.2248i 0.125125 + 0.992141i
\(129\) −0.891929 + 7.33077i −0.0785300 + 0.645439i
\(130\) 0.164291 5.14124i 0.0144092 0.450917i
\(131\) −0.303866 + 0.362133i −0.0265489 + 0.0316397i −0.779156 0.626831i \(-0.784352\pi\)
0.752607 + 0.658470i \(0.228796\pi\)
\(132\) −10.0821 + 17.0495i −0.877531 + 1.48397i
\(133\) 1.29790 3.56594i 0.112542 0.309206i
\(134\) −2.76270 19.2438i −0.238661 1.66242i
\(135\) −8.26945 + 4.61954i −0.711721 + 0.397586i
\(136\) 11.4250 5.20887i 0.979686 0.446657i
\(137\) −14.3474 5.22203i −1.22578 0.446148i −0.353631 0.935385i \(-0.615053\pi\)
−0.872151 + 0.489237i \(0.837275\pi\)
\(138\) 18.6864 7.26023i 1.59069 0.618031i
\(139\) 12.0186 14.3232i 1.01941 1.21488i 0.0429683 0.999076i \(-0.486319\pi\)
0.976437 0.215803i \(-0.0692370\pi\)
\(140\) −9.21514 + 1.02378i −0.778822 + 0.0865252i
\(141\) −5.77480 13.5631i −0.486326 1.14222i
\(142\) 5.13582 5.73799i 0.430988 0.481521i
\(143\) 5.70439 + 9.88029i 0.477025 + 0.826231i
\(144\) −1.83682 11.8586i −0.153068 0.988216i
\(145\) 1.83818 3.18383i 0.152653 0.264402i
\(146\) −2.60811 7.94678i −0.215849 0.657680i
\(147\) 0.822461 + 0.417927i 0.0678354 + 0.0344700i
\(148\) 0.982964 + 1.33622i 0.0807991 + 0.109836i
\(149\) −1.81995 5.00026i −0.149096 0.409637i 0.842552 0.538616i \(-0.181052\pi\)
−0.991647 + 0.128978i \(0.958830\pi\)
\(150\) −3.08902 + 2.70735i −0.252218 + 0.221054i
\(151\) −3.28252 18.6161i −0.267128 1.51496i −0.762908 0.646507i \(-0.776229\pi\)
0.495780 0.868448i \(-0.334882\pi\)
\(152\) −4.20119 0.403853i −0.340762 0.0327568i
\(153\) −11.9573 + 5.86455i −0.966694 + 0.474121i
\(154\) 16.1674 12.7086i 1.30280 1.02409i
\(155\) −7.32793 8.73308i −0.588593 0.701458i
\(156\) −6.46999 2.43160i −0.518014 0.194684i
\(157\) 2.79165 + 0.492243i 0.222798 + 0.0392853i 0.283933 0.958844i \(-0.408361\pi\)
−0.0611346 + 0.998130i \(0.519472\pi\)
\(158\) −5.67642 3.52368i −0.451591 0.280329i
\(159\) 19.4860 + 5.93405i 1.54534 + 0.470601i
\(160\) 3.67007 + 9.63691i 0.290144 + 0.761865i
\(161\) −20.8134 −1.64032
\(162\) 2.30235 + 12.5180i 0.180889 + 0.983503i
\(163\) 2.78155i 0.217868i −0.994049 0.108934i \(-0.965256\pi\)
0.994049 0.108934i \(-0.0347437\pi\)
\(164\) 2.23117 + 0.142741i 0.174225 + 0.0111462i
\(165\) −5.25945 + 17.2708i −0.409448 + 1.34453i
\(166\) −1.54295 + 2.48559i −0.119756 + 0.192919i
\(167\) −2.35216 + 13.3397i −0.182015 + 1.03226i 0.747715 + 0.664020i \(0.231151\pi\)
−0.929730 + 0.368241i \(0.879960\pi\)
\(168\) −2.68123 + 12.1667i −0.206861 + 0.938679i
\(169\) 6.90886 5.79723i 0.531451 0.445940i
\(170\) 8.99769 7.07279i 0.690092 0.542458i
\(171\) 4.46635 + 0.302455i 0.341550 + 0.0231293i
\(172\) −8.28605 2.01388i −0.631805 0.153557i
\(173\) −1.13829 + 0.200711i −0.0865424 + 0.0152598i −0.216752 0.976227i \(-0.569546\pi\)
0.130209 + 0.991487i \(0.458435\pi\)
\(174\) −3.25601 3.71503i −0.246837 0.281636i
\(175\) 4.00732 1.45855i 0.302925 0.110256i
\(176\) −18.1886 13.8666i −1.37102 1.04524i
\(177\) 9.94742 19.5761i 0.747694 1.47143i
\(178\) −0.0997458 0.303920i −0.00747626 0.0227798i
\(179\) 17.9434 + 10.3596i 1.34116 + 0.774316i 0.986977 0.160861i \(-0.0514272\pi\)
0.354178 + 0.935178i \(0.384761\pi\)
\(180\) −4.17954 10.1076i −0.311525 0.753375i
\(181\) −21.0593 + 12.1586i −1.56532 + 0.903740i −0.568622 + 0.822599i \(0.692523\pi\)
−0.996703 + 0.0811411i \(0.974144\pi\)
\(182\) 5.34699 + 4.78585i 0.396345 + 0.354751i
\(183\) 10.6581 4.53791i 0.787867 0.335452i
\(184\) 5.79950 + 22.4103i 0.427545 + 1.65211i
\(185\) 1.15823 + 0.971873i 0.0851550 + 0.0714535i
\(186\) −14.2787 + 5.54770i −1.04696 + 0.406777i
\(187\) −8.68177 + 23.8530i −0.634874 + 1.74430i
\(188\) 16.3343 4.78870i 1.19130 0.349252i
\(189\) 2.47864 12.9798i 0.180294 0.944141i
\(190\) −3.80787 + 0.546668i −0.276252 + 0.0396595i
\(191\) 0.674304 + 0.245427i 0.0487909 + 0.0177584i 0.366300 0.930497i \(-0.380624\pi\)
−0.317509 + 0.948255i \(0.602847\pi\)
\(192\) 13.8473 0.503215i 0.999340 0.0363164i
\(193\) 0.752072 + 0.631063i 0.0541353 + 0.0454249i 0.669454 0.742854i \(-0.266528\pi\)
−0.615319 + 0.788279i \(0.710973\pi\)
\(194\) −0.193538 + 6.05649i −0.0138952 + 0.434831i
\(195\) −6.25381 0.760896i −0.447844 0.0544889i
\(196\) −0.590451 + 0.886664i −0.0421750 + 0.0633332i
\(197\) −17.4791 + 10.0916i −1.24534 + 0.718996i −0.970176 0.242402i \(-0.922065\pi\)
−0.275161 + 0.961398i \(0.588731\pi\)
\(198\) 19.6992 + 14.1576i 1.39996 + 1.00614i
\(199\) 2.27223 3.93561i 0.161074 0.278988i −0.774180 0.632965i \(-0.781838\pi\)
0.935254 + 0.353977i \(0.115171\pi\)
\(200\) −2.68707 3.90837i −0.190004 0.276364i
\(201\) −23.7764 + 1.27227i −1.67706 + 0.0897391i
\(202\) 2.97282 + 5.55132i 0.209167 + 0.390590i
\(203\) 1.75413 + 4.81943i 0.123116 + 0.338258i
\(204\) −5.10870 14.5050i −0.357681 1.01555i
\(205\) 2.00684 0.353860i 0.140164 0.0247146i
\(206\) −3.79318 + 9.46909i −0.264283 + 0.659743i
\(207\) −6.81951 23.5867i −0.473988 1.63939i
\(208\) 3.66314 7.09079i 0.253993 0.491658i
\(209\) 6.53605 5.48440i 0.452108 0.379364i
\(210\) 0.244289 + 11.3530i 0.0168575 + 0.783432i
\(211\) −16.3512 2.88316i −1.12567 0.198485i −0.420338 0.907367i \(-0.638089\pi\)
−0.705327 + 0.708882i \(0.749200\pi\)
\(212\) −9.43925 + 21.5435i −0.648290 + 1.47961i
\(213\) −6.43979 6.89063i −0.441247 0.472138i
\(214\) 2.83309 13.5255i 0.193666 0.924585i
\(215\) −7.77235 −0.530070
\(216\) −14.6663 + 0.947922i −0.997918 + 0.0644979i
\(217\) 15.9040 1.07963
\(218\) −0.553097 + 2.64055i −0.0374605 + 0.178841i
\(219\) −9.97847 + 2.31526i −0.674283 + 0.156451i
\(220\) −19.0944 8.36617i −1.28734 0.564047i
\(221\) −8.72316 1.53813i −0.586783 0.103466i
\(222\) 1.73719 1.05343i 0.116592 0.0707017i
\(223\) −19.3357 + 16.2246i −1.29482 + 1.08648i −0.303801 + 0.952736i \(0.598256\pi\)
−0.991016 + 0.133744i \(0.957300\pi\)
\(224\) −13.5898 4.71954i −0.908004 0.315338i
\(225\) 2.96589 + 4.06339i 0.197726 + 0.270893i
\(226\) 4.83421 12.0679i 0.321567 0.802743i
\(227\) −22.3413 + 3.93937i −1.48284 + 0.261465i −0.855713 0.517451i \(-0.826881\pi\)
−0.627129 + 0.778916i \(0.715770\pi\)
\(228\) −0.950653 + 5.08094i −0.0629585 + 0.336493i
\(229\) 9.73266 + 26.7403i 0.643152 + 1.76705i 0.641591 + 0.767047i \(0.278275\pi\)
0.00156124 + 0.999999i \(0.499503\pi\)
\(230\) 9.96061 + 18.6001i 0.656783 + 1.22645i
\(231\) −13.7405 21.1077i −0.904061 1.38879i
\(232\) 4.70043 3.23162i 0.308598 0.212166i
\(233\) 4.71722 8.17047i 0.309035 0.535265i −0.669116 0.743158i \(-0.733327\pi\)
0.978152 + 0.207893i \(0.0666605\pi\)
\(234\) −3.67160 + 7.62755i −0.240020 + 0.498628i
\(235\) 13.4363 7.75744i 0.876486 0.506039i
\(236\) 21.1042 + 14.0538i 1.37377 + 0.914825i
\(237\) −4.91731 + 6.54043i −0.319413 + 0.424846i
\(238\) −0.509943 + 15.9579i −0.0330547 + 1.03440i
\(239\) −12.4681 10.4620i −0.806496 0.676731i 0.143272 0.989683i \(-0.454238\pi\)
−0.949769 + 0.312952i \(0.898682\pi\)
\(240\) 12.1560 3.42647i 0.784667 0.221178i
\(241\) 0.848613 + 0.308870i 0.0546640 + 0.0198961i 0.369207 0.929347i \(-0.379629\pi\)
−0.314543 + 0.949243i \(0.601851\pi\)
\(242\) 30.3691 4.35987i 1.95220 0.280263i
\(243\) 15.5214 1.44393i 0.995701 0.0926281i
\(244\) 3.76302 + 12.8357i 0.240903 + 0.821723i
\(245\) −0.332089 + 0.912407i −0.0212164 + 0.0582916i
\(246\) 0.417362 2.70620i 0.0266100 0.172541i
\(247\) 2.28077 + 1.91379i 0.145122 + 0.121772i
\(248\) −4.43153 17.1242i −0.281402 1.08739i
\(249\) 2.86392 + 2.15319i 0.181493 + 0.136453i
\(250\) −12.8260 11.4799i −0.811185 0.726055i
\(251\) 5.45765 3.15098i 0.344484 0.198888i −0.317769 0.948168i \(-0.602934\pi\)
0.662253 + 0.749280i \(0.269600\pi\)
\(252\) 14.5496 + 4.59715i 0.916540 + 0.289593i
\(253\) −40.5271 23.3983i −2.54792 1.47104i
\(254\) 4.41873 + 13.4636i 0.277256 + 0.844784i
\(255\) −7.64708 11.7472i −0.478879 0.735637i
\(256\) −1.29496 + 15.9475i −0.0809349 + 0.996719i
\(257\) −11.5062 + 4.18790i −0.717734 + 0.261234i −0.674964 0.737851i \(-0.735841\pi\)
−0.0427705 + 0.999085i \(0.513618\pi\)
\(258\) −3.36002 + 9.88847i −0.209186 + 0.615629i
\(259\) −2.07723 + 0.366272i −0.129073 + 0.0227590i
\(260\) 1.71802 7.06874i 0.106547 0.438385i
\(261\) −4.88686 + 3.56695i −0.302489 + 0.220789i
\(262\) −0.525597 + 0.413155i −0.0324715 + 0.0255248i
\(263\) −6.62929 + 5.56263i −0.408779 + 0.343007i −0.823875 0.566771i \(-0.808192\pi\)
0.415096 + 0.909778i \(0.363748\pi\)
\(264\) −18.8985 + 20.6763i −1.16312 + 1.27254i
\(265\) −3.72273 + 21.1127i −0.228686 + 1.29694i
\(266\) 2.83040 4.55958i 0.173543 0.279566i
\(267\) −0.381621 + 0.0885459i −0.0233548 + 0.00541892i
\(268\) 1.75537 27.4378i 0.107226 1.67603i
\(269\) 1.49342i 0.0910555i −0.998963 0.0455277i \(-0.985503\pi\)
0.998963 0.0455277i \(-0.0144969\pi\)
\(270\) −12.7857 + 3.99666i −0.778114 + 0.243229i
\(271\) 6.60261 0.401080 0.200540 0.979686i \(-0.435730\pi\)
0.200540 + 0.979686i \(0.435730\pi\)
\(272\) 17.3244 3.89751i 1.05045 0.236321i
\(273\) 6.42109 6.00097i 0.388622 0.363195i
\(274\) −18.3453 11.3880i −1.10828 0.687973i
\(275\) 9.44263 + 1.66499i 0.569412 + 0.100403i
\(276\) 27.9702 4.63163i 1.68361 0.278791i
\(277\) −1.06302 1.26686i −0.0638708 0.0761183i 0.733163 0.680053i \(-0.238043\pi\)
−0.797034 + 0.603935i \(0.793599\pi\)
\(278\) 20.7886 16.3412i 1.24682 0.980083i
\(279\) 5.21094 + 18.0231i 0.311971 + 1.07901i
\(280\) −13.0522 1.25468i −0.780018 0.0749816i
\(281\) 1.94021 + 11.0035i 0.115743 + 0.656414i 0.986379 + 0.164486i \(0.0525965\pi\)
−0.870636 + 0.491928i \(0.836292\pi\)
\(282\) −4.06094 20.4480i −0.241825 1.21766i
\(283\) 1.88627 + 5.18249i 0.112127 + 0.308067i 0.983046 0.183360i \(-0.0586976\pi\)
−0.870919 + 0.491427i \(0.836475\pi\)
\(284\) 8.77250 6.45334i 0.520552 0.382935i
\(285\) 0.251750 + 4.70475i 0.0149124 + 0.278686i
\(286\) 5.03125 + 15.3299i 0.297504 + 0.906478i
\(287\) −1.42142 + 2.46197i −0.0839038 + 0.145326i
\(288\) 0.895717 16.9469i 0.0527806 0.998606i
\(289\) −1.35394 2.34509i −0.0796436 0.137947i
\(290\) 3.46746 3.87402i 0.203616 0.227490i
\(291\) 7.36711 + 0.896351i 0.431868 + 0.0525450i
\(292\) −1.30605 11.7559i −0.0764309 0.687962i
\(293\) 15.8671 18.9097i 0.926967 1.10472i −0.0672936 0.997733i \(-0.521436\pi\)
0.994261 0.106983i \(-0.0341191\pi\)
\(294\) 1.01726 + 0.816942i 0.0593277 + 0.0476450i
\(295\) 21.7170 + 7.90433i 1.26441 + 0.460208i
\(296\) 0.973181 + 2.13455i 0.0565650 + 0.124068i
\(297\) 19.4182 22.4874i 1.12676 1.30485i
\(298\) −1.06938 7.44890i −0.0619477 0.431503i
\(299\) 5.58512 15.3450i 0.322996 0.887424i
\(300\) −5.06070 + 2.85183i −0.292179 + 0.164651i
\(301\) 6.96965 8.30611i 0.401724 0.478756i
\(302\) 0.853837 26.7196i 0.0491328 1.53754i
\(303\) 7.09605 3.02130i 0.407658 0.173569i
\(304\) −5.69809 1.77707i −0.326808 0.101922i
\(305\) 6.09589 + 10.5584i 0.349050 + 0.604572i
\(306\) −18.2514 + 4.65074i −1.04336 + 0.265865i
\(307\) 0.707608 + 0.408538i 0.0403853 + 0.0233165i 0.520057 0.854132i \(-0.325911\pi\)
−0.479671 + 0.877448i \(0.659244\pi\)
\(308\) 26.0631 12.9035i 1.48508 0.735245i
\(309\) 11.1377 + 5.65952i 0.633600 + 0.321959i
\(310\) −7.61112 14.2127i −0.432283 0.807228i
\(311\) 15.1405 5.51071i 0.858542 0.312484i 0.125024 0.992154i \(-0.460099\pi\)
0.733518 + 0.679670i \(0.237877\pi\)
\(312\) −8.25059 5.24162i −0.467098 0.296748i
\(313\) 2.42244 + 13.7383i 0.136924 + 0.776537i 0.973500 + 0.228686i \(0.0734428\pi\)
−0.836576 + 0.547851i \(0.815446\pi\)
\(314\) 3.72141 + 1.49074i 0.210012 + 0.0841274i
\(315\) 13.8760 + 0.939662i 0.781823 + 0.0529439i
\(316\) −6.83552 6.52317i −0.384528 0.366957i
\(317\) 4.07310 + 4.85413i 0.228768 + 0.272635i 0.868202 0.496211i \(-0.165276\pi\)
−0.639434 + 0.768846i \(0.720831\pi\)
\(318\) 25.2515 + 13.8634i 1.41603 + 0.777420i
\(319\) −2.00241 + 11.3562i −0.112113 + 0.635827i
\(320\) 2.28596 + 14.4032i 0.127789 + 0.805166i
\(321\) −16.1907 4.93054i −0.903676 0.275196i
\(322\) −28.8093 6.03448i −1.60548 0.336288i
\(323\) 6.62437i 0.368590i
\(324\) −0.442519 + 17.9946i −0.0245844 + 0.999698i
\(325\) 3.34586i 0.185595i
\(326\) 0.806464 3.85016i 0.0446659 0.213240i
\(327\) 3.16087 + 0.962578i 0.174796 + 0.0532307i
\(328\) 3.04694 + 0.844467i 0.168239 + 0.0466279i
\(329\) −3.75846 + 21.3153i −0.207211 + 1.17515i
\(330\) −12.2874 + 22.3808i −0.676397 + 1.23203i
\(331\) 0.987225 + 1.17653i 0.0542628 + 0.0646679i 0.792493 0.609881i \(-0.208783\pi\)
−0.738230 + 0.674549i \(0.764338\pi\)
\(332\) −2.85636 + 2.99313i −0.156763 + 0.164269i
\(333\) −1.09568 2.23401i −0.0600430 0.122423i
\(334\) −7.12343 + 17.7826i −0.389776 + 0.973019i
\(335\) −4.35160 24.6792i −0.237754 1.34837i
\(336\) −7.23880 + 16.0634i −0.394909 + 0.876331i
\(337\) −25.3932 + 9.24236i −1.38326 + 0.503464i −0.923163 0.384408i \(-0.874406\pi\)
−0.460092 + 0.887871i \(0.652183\pi\)
\(338\) 11.2439 6.02126i 0.611586 0.327514i
\(339\) −14.1944 7.21276i −0.770933 0.391744i
\(340\) 14.5050 7.18125i 0.786645 0.389458i
\(341\) 30.9677 + 17.8792i 1.67699 + 0.968212i
\(342\) 6.09451 + 1.71359i 0.329554 + 0.0926604i
\(343\) −9.57813 16.5898i −0.517170 0.895765i
\(344\) −10.8854 5.18996i −0.586904 0.279824i
\(345\) 23.7758 10.1231i 1.28004 0.545008i
\(346\) −1.63378 0.0522082i −0.0878326 0.00280673i
\(347\) −18.5928 + 22.1580i −0.998113 + 1.18950i −0.0162583 + 0.999868i \(0.505175\pi\)
−0.981854 + 0.189636i \(0.939269\pi\)
\(348\) −3.42977 6.08628i −0.183855 0.326259i
\(349\) 8.48061 23.3003i 0.453957 1.24724i −0.475961 0.879467i \(-0.657900\pi\)
0.929917 0.367769i \(-0.119878\pi\)
\(350\) 5.96972 0.857028i 0.319095 0.0458101i
\(351\) 8.90445 + 5.31046i 0.475284 + 0.283451i
\(352\) −21.1558 24.4673i −1.12761 1.30411i
\(353\) 17.1215 + 6.23172i 0.911286 + 0.331681i 0.754766 0.655994i \(-0.227750\pi\)
0.156520 + 0.987675i \(0.449972\pi\)
\(354\) 19.4447 24.2126i 1.03348 1.28689i
\(355\) 6.38052 7.60401i 0.338643 0.403579i
\(356\) −0.0499492 0.449598i −0.00264730 0.0238286i
\(357\) 19.4112 + 2.36175i 1.02735 + 0.124997i
\(358\) 21.8332 + 19.5420i 1.15392 + 1.03282i
\(359\) 12.7006 + 21.9982i 0.670314 + 1.16102i 0.977815 + 0.209471i \(0.0671740\pi\)
−0.307501 + 0.951548i \(0.599493\pi\)
\(360\) −2.85469 15.2025i −0.150455 0.801240i
\(361\) −8.38668 + 14.5262i −0.441404 + 0.764535i
\(362\) −32.6749 + 10.7238i −1.71735 + 0.563632i
\(363\) −2.00780 37.5221i −0.105382 1.96940i
\(364\) 6.01359 + 8.17472i 0.315198 + 0.428472i
\(365\) −3.68735 10.1309i −0.193004 0.530275i
\(366\) 16.0683 3.19114i 0.839905 0.166803i
\(367\) 4.63346 + 26.2776i 0.241864 + 1.37168i 0.827663 + 0.561225i \(0.189670\pi\)
−0.585799 + 0.810456i \(0.699219\pi\)
\(368\) 1.53005 + 32.7012i 0.0797594 + 1.70467i
\(369\) −3.25575 0.804153i −0.169488 0.0418625i
\(370\) 1.32142 + 1.68105i 0.0686973 + 0.0873937i
\(371\) −19.2243 22.9106i −0.998076 1.18946i
\(372\) −21.3726 + 3.53913i −1.10812 + 0.183495i
\(373\) 17.1632 + 3.02634i 0.888679 + 0.156698i 0.599307 0.800519i \(-0.295443\pi\)
0.289371 + 0.957217i \(0.406554\pi\)
\(374\) −18.9328 + 30.4995i −0.978994 + 1.57709i
\(375\) −15.4024 + 14.3947i −0.795378 + 0.743338i
\(376\) 23.9980 1.89253i 1.23760 0.0975999i
\(377\) −4.02392 −0.207242
\(378\) 7.19414 17.2477i 0.370026 0.887124i
\(379\) 0.193257i 0.00992694i −0.999988 0.00496347i \(-0.998420\pi\)
0.999988 0.00496347i \(-0.00157993\pi\)
\(380\) −5.42925 0.347343i −0.278515 0.0178183i
\(381\) 16.9058 3.92258i 0.866109 0.200960i
\(382\) 0.862197 + 0.535216i 0.0441139 + 0.0273840i
\(383\) 2.46285 13.9675i 0.125846 0.713707i −0.854956 0.518700i \(-0.826416\pi\)
0.980802 0.195006i \(-0.0624728\pi\)
\(384\) 19.3129 + 3.31824i 0.985559 + 0.169333i
\(385\) 20.3061 17.0388i 1.03489 0.868379i
\(386\) 0.858032 + 1.09155i 0.0436727 + 0.0555585i
\(387\) 11.6965 + 5.17684i 0.594566 + 0.263153i
\(388\) −2.02387 + 8.32713i −0.102746 + 0.422746i
\(389\) 17.2755 3.04614i 0.875904 0.154446i 0.282420 0.959291i \(-0.408863\pi\)
0.593485 + 0.804845i \(0.297752\pi\)
\(390\) −8.43575 2.86640i −0.427161 0.145146i
\(391\) 34.1416 12.4265i 1.72662 0.628437i
\(392\) −1.07436 + 1.05611i −0.0542634 + 0.0533415i
\(393\) 0.446702 + 0.686208i 0.0225331 + 0.0346146i
\(394\) −27.1201 + 8.90074i −1.36629 + 0.448413i
\(395\) −7.45831 4.30606i −0.375268 0.216661i
\(396\) 23.1624 + 25.3081i 1.16396 + 1.27178i
\(397\) −4.44684 + 2.56738i −0.223180 + 0.128853i −0.607422 0.794379i \(-0.707796\pi\)
0.384242 + 0.923233i \(0.374463\pi\)
\(398\) 4.28622 4.78878i 0.214849 0.240040i
\(399\) −5.25360 3.94983i −0.263009 0.197739i
\(400\) −2.58621 6.18894i −0.129310 0.309447i
\(401\) 1.41642 + 1.18852i 0.0707326 + 0.0593517i 0.677469 0.735552i \(-0.263077\pi\)
−0.606736 + 0.794903i \(0.707521\pi\)
\(402\) −33.2796 5.13252i −1.65984 0.255987i
\(403\) −4.26772 + 11.7255i −0.212590 + 0.584087i
\(404\) 2.50539 + 8.54592i 0.124648 + 0.425175i
\(405\) 3.48160 + 16.0328i 0.173002 + 0.796676i
\(406\) 1.03071 + 7.17952i 0.0511533 + 0.356313i
\(407\) −4.45648 1.62203i −0.220900 0.0804008i
\(408\) −2.86586 21.5587i −0.141881 1.06731i
\(409\) −20.2068 16.9556i −0.999164 0.838398i −0.0122958 0.999924i \(-0.503914\pi\)
−0.986868 + 0.161526i \(0.948358\pi\)
\(410\) 2.88041 + 0.0920447i 0.142253 + 0.00454576i
\(411\) −15.8920 + 21.1376i −0.783892 + 1.04264i
\(412\) −7.99582 + 12.0071i −0.393926 + 0.591548i
\(413\) −27.9213 + 16.1204i −1.37392 + 0.793231i
\(414\) −2.60084 34.6253i −0.127824 1.70174i
\(415\) −1.88553 + 3.26584i −0.0925572 + 0.160314i
\(416\) 7.12628 8.75282i 0.349395 0.429142i
\(417\) −17.6681 27.1412i −0.865211 1.32911i
\(418\) 10.6371 5.69635i 0.520280 0.278617i
\(419\) 3.97889 + 10.9319i 0.194381 + 0.534058i 0.998144 0.0608913i \(-0.0193943\pi\)
−0.803763 + 0.594949i \(0.797172\pi\)
\(420\) −2.95347 + 15.7854i −0.144115 + 0.770247i
\(421\) 31.4056 5.53765i 1.53061 0.269888i 0.656019 0.754744i \(-0.272239\pi\)
0.874594 + 0.484856i \(0.161128\pi\)
\(422\) −21.7970 8.73156i −1.06106 0.425046i
\(423\) −25.3869 + 2.72470i −1.23435 + 0.132479i
\(424\) −19.3117 + 27.0832i −0.937861 + 1.31528i
\(425\) −5.70268 + 4.78512i −0.276621 + 0.232112i
\(426\) −6.91597 11.4049i −0.335080 0.552571i
\(427\) −16.7498 2.95344i −0.810580 0.142927i
\(428\) 7.84298 17.9003i 0.379105 0.865242i
\(429\) 19.2492 4.46632i 0.929361 0.215636i
\(430\) −10.7583 2.25346i −0.518811 0.108671i
\(431\) −34.7331 −1.67303 −0.836516 0.547942i \(-0.815411\pi\)
−0.836516 + 0.547942i \(0.815411\pi\)
\(432\) −20.5756 2.94016i −0.989944 0.141459i
\(433\) 0.00964791 0.000463649 0.000231825 1.00000i \(-0.499926\pi\)
0.000231825 1.00000i \(0.499926\pi\)
\(434\) 22.0138 + 4.61108i 1.05670 + 0.221339i
\(435\) −4.34784 4.65223i −0.208463 0.223057i
\(436\) −1.53117 + 3.49462i −0.0733295 + 0.167362i
\(437\) −12.0269 2.12067i −0.575326 0.101446i
\(438\) −14.4832 + 0.311643i −0.692035 + 0.0148909i
\(439\) 0.434034 0.364197i 0.0207153 0.0173822i −0.632371 0.774666i \(-0.717918\pi\)
0.653086 + 0.757283i \(0.273474\pi\)
\(440\) −24.0043 17.1163i −1.14436 0.815989i
\(441\) 1.10747 1.15188i 0.0527368 0.0548513i
\(442\) −11.6284 4.65817i −0.553108 0.221567i
\(443\) 6.76926 1.19360i 0.321617 0.0567098i −0.0105090 0.999945i \(-0.503345\pi\)
0.332126 + 0.943235i \(0.392234\pi\)
\(444\) 2.70999 0.954466i 0.128611 0.0452970i
\(445\) −0.141020 0.387450i −0.00668501 0.0183669i
\(446\) −31.4681 + 16.8516i −1.49006 + 0.797947i
\(447\) −9.20337 + 0.492470i −0.435304 + 0.0232930i
\(448\) −17.4422 10.4728i −0.824069 0.494793i
\(449\) 6.21541 10.7654i 0.293323 0.508051i −0.681270 0.732032i \(-0.738572\pi\)
0.974593 + 0.223981i \(0.0719054\pi\)
\(450\) 2.92720 + 6.48435i 0.137990 + 0.305675i
\(451\) −5.53549 + 3.19591i −0.260656 + 0.150490i
\(452\) 10.1903 15.3024i 0.479309 0.719766i
\(453\) −32.5017 3.95446i −1.52706 0.185797i
\(454\) −32.0664 1.02469i −1.50495 0.0480913i
\(455\) 7.08586 + 5.94574i 0.332190 + 0.278741i
\(456\) −2.78900 + 6.75728i −0.130607 + 0.316439i
\(457\) −34.5522 12.5760i −1.61628 0.588279i −0.633614 0.773649i \(-0.718429\pi\)
−0.982669 + 0.185370i \(0.940652\pi\)
\(458\) 5.71882 + 39.8350i 0.267223 + 1.86137i
\(459\) 3.68365 + 22.7715i 0.171938 + 1.06288i
\(460\) 8.39445 + 28.6336i 0.391393 + 1.33505i
\(461\) 7.23277 19.8719i 0.336864 0.925526i −0.649414 0.760435i \(-0.724986\pi\)
0.986278 0.165091i \(-0.0527918\pi\)
\(462\) −12.8995 33.2006i −0.600137 1.54463i
\(463\) −5.66546 4.75388i −0.263296 0.220932i 0.501576 0.865113i \(-0.332754\pi\)
−0.764873 + 0.644182i \(0.777198\pi\)
\(464\) 7.44317 3.11032i 0.345540 0.144393i
\(465\) −18.1676 + 7.73526i −0.842502 + 0.358714i
\(466\) 8.89834 9.94167i 0.412208 0.460539i
\(467\) 32.0411 18.4990i 1.48269 0.856029i 0.482880 0.875687i \(-0.339591\pi\)
0.999807 + 0.0196572i \(0.00625748\pi\)
\(468\) −7.29362 + 9.49333i −0.337148 + 0.438830i
\(469\) 30.2762 + 17.4800i 1.39802 + 0.807150i
\(470\) 20.8473 6.84203i 0.961613 0.315599i
\(471\) 2.22423 4.37718i 0.102487 0.201690i
\(472\) 25.1373 + 25.5717i 1.15704 + 1.17703i
\(473\) 22.9088 8.33812i 1.05335 0.383387i
\(474\) −8.70269 + 7.62740i −0.399728 + 0.350338i
\(475\) 2.46423 0.434510i 0.113067 0.0199367i
\(476\) −5.33258 + 21.9407i −0.244419 + 1.00565i
\(477\) 19.6645 29.2925i 0.900377 1.34121i
\(478\) −14.2248 18.0962i −0.650627 0.827699i
\(479\) −7.05332 + 5.91844i −0.322275 + 0.270420i −0.789543 0.613695i \(-0.789683\pi\)
0.467269 + 0.884115i \(0.345238\pi\)
\(480\) 17.8195 1.21841i 0.813344 0.0556126i
\(481\) 0.287371 1.62976i 0.0131030 0.0743107i
\(482\) 1.08508 + 0.673571i 0.0494239 + 0.0306803i
\(483\) −10.5021 + 34.4862i −0.477860 + 1.56917i
\(484\) 43.3002 + 2.77018i 1.96819 + 0.125917i
\(485\) 7.81088i 0.354674i
\(486\) 21.9030 + 2.50153i 0.993541 + 0.113472i
\(487\) 15.5227 0.703400 0.351700 0.936113i \(-0.385604\pi\)
0.351700 + 0.936113i \(0.385604\pi\)
\(488\) 1.48718 + 18.8579i 0.0673213 + 0.853657i
\(489\) −4.60882 1.40352i −0.208418 0.0634695i
\(490\) −0.724206 + 1.16665i −0.0327163 + 0.0527038i
\(491\) −3.95472 0.697324i −0.178474 0.0314698i 0.0836968 0.996491i \(-0.473327\pi\)
−0.262171 + 0.965021i \(0.584438\pi\)
\(492\) 1.36232 3.62485i 0.0614180 0.163421i
\(493\) −5.75485 6.85836i −0.259185 0.308885i
\(494\) 2.60211 + 3.31029i 0.117075 + 0.148937i
\(495\) 25.9625 + 17.4290i 1.16693 + 0.783376i
\(496\) −1.16915 24.9877i −0.0524962 1.12198i
\(497\) 2.40464 + 13.6374i 0.107863 + 0.611721i
\(498\) 3.33988 + 3.81073i 0.149664 + 0.170763i
\(499\) −6.66725 18.3181i −0.298467 0.820032i −0.994757 0.102271i \(-0.967389\pi\)
0.696290 0.717761i \(-0.254833\pi\)
\(500\) −14.4250 19.6089i −0.645104 0.876937i
\(501\) 20.9161 + 10.6283i 0.934462 + 0.474839i
\(502\) 8.46791 2.77915i 0.377942 0.124040i
\(503\) 17.6501 30.5709i 0.786979 1.36309i −0.140831 0.990034i \(-0.544977\pi\)
0.927810 0.373053i \(-0.121689\pi\)
\(504\) 18.8063 + 10.5817i 0.837701 + 0.471345i
\(505\) 4.05859 + 7.02968i 0.180605 + 0.312817i
\(506\) −49.3126 44.1375i −2.19221 1.96215i
\(507\) −6.11947 14.3726i −0.271775 0.638311i
\(508\) 2.21275 + 19.9172i 0.0981748 + 0.883681i
\(509\) −18.2426 + 21.7407i −0.808590 + 0.963640i −0.999840 0.0179013i \(-0.994302\pi\)
0.191250 + 0.981541i \(0.438746\pi\)
\(510\) −7.17900 18.4773i −0.317891 0.818189i
\(511\) 14.1332 + 5.14405i 0.625214 + 0.227559i
\(512\) −6.41615 + 21.6987i −0.283557 + 0.958955i
\(513\) 2.75478 7.24779i 0.121627 0.319998i
\(514\) −17.1407 + 2.46077i −0.756045 + 0.108540i
\(515\) −4.49712 + 12.3557i −0.198167 + 0.544458i
\(516\) −7.51784 + 12.7132i −0.330955 + 0.559667i
\(517\) −31.2809 + 37.2792i −1.37573 + 1.63954i
\(518\) −2.98144 0.0952733i −0.130997 0.00418607i
\(519\) −0.241797 + 1.98733i −0.0106137 + 0.0872342i
\(520\) 4.42750 9.28627i 0.194159 0.407230i
\(521\) 3.03359 + 5.25433i 0.132904 + 0.230197i 0.924795 0.380466i \(-0.124236\pi\)
−0.791891 + 0.610663i \(0.790903\pi\)
\(522\) −7.79845 + 3.52042i −0.341329 + 0.154085i
\(523\) −0.577604 0.333480i −0.0252569 0.0145821i 0.487318 0.873224i \(-0.337975\pi\)
−0.512575 + 0.858642i \(0.671308\pi\)
\(524\) −0.847306 + 0.419490i −0.0370147 + 0.0183255i
\(525\) −0.394677 7.37579i −0.0172251 0.321906i
\(526\) −10.7889 + 5.77761i −0.470418 + 0.251916i
\(527\) −26.0884 + 9.49540i −1.13643 + 0.413626i
\(528\) −32.1536 + 23.1403i −1.39931 + 1.00705i
\(529\) 7.63737 + 43.3137i 0.332060 + 1.88320i
\(530\) −11.2742 + 28.1443i −0.489718 + 1.22251i
\(531\) −27.4168 26.3599i −1.18979 1.14392i
\(532\) 5.23974 5.49063i 0.227172 0.238049i
\(533\) −1.43370 1.70862i −0.0621005 0.0740085i
\(534\) −0.553902 + 0.0119186i −0.0239697 + 0.000515769i
\(535\) 3.09318 17.5423i 0.133730 0.758420i
\(536\) 10.3849 37.4698i 0.448558 1.61845i
\(537\) 26.2191 24.5036i 1.13144 1.05741i
\(538\) 0.432992 2.06716i 0.0186676 0.0891214i
\(539\) 3.04556i 0.131182i
\(540\) −18.8564 + 1.82507i −0.811451 + 0.0785386i
\(541\) 7.24554i 0.311510i 0.987796 + 0.155755i \(0.0497810\pi\)
−0.987796 + 0.155755i \(0.950219\pi\)
\(542\) 9.13916 + 1.91431i 0.392561 + 0.0822268i
\(543\) 9.51971 + 41.0286i 0.408530 + 1.76071i
\(544\) 25.1100 0.371911i 1.07658 0.0159456i
\(545\) −0.603874 + 3.42474i −0.0258671 + 0.146700i
\(546\) 10.6278 6.44470i 0.454827 0.275808i
\(547\) −16.4611 19.6176i −0.703825 0.838786i 0.289128 0.957290i \(-0.406635\pi\)
−0.992954 + 0.118504i \(0.962190\pi\)
\(548\) −22.0913 21.0819i −0.943694 0.900572i
\(549\) −2.14110 19.9494i −0.0913800 0.851418i
\(550\) 12.5875 + 5.04236i 0.536733 + 0.215007i
\(551\) 0.522567 + 2.96362i 0.0222621 + 0.126255i
\(552\) 40.0585 + 1.69849i 1.70500 + 0.0722925i
\(553\) 11.2898 4.10916i 0.480092 0.174739i
\(554\) −1.10410 2.06176i −0.0469089 0.0875958i
\(555\) 2.19474 1.42871i 0.0931617 0.0606455i
\(556\) 33.5129 16.5918i 1.42127 0.703650i
\(557\) 4.20560 + 2.42811i 0.178197 + 0.102882i 0.586445 0.809989i \(-0.300527\pi\)
−0.408248 + 0.912871i \(0.633860\pi\)
\(558\) 1.98736 + 26.4579i 0.0841315 + 1.12005i
\(559\) 4.25356 + 7.36738i 0.179906 + 0.311607i
\(560\) −17.7027 5.52096i −0.748077 0.233303i
\(561\) 35.1419 + 26.4208i 1.48369 + 1.11549i
\(562\) −0.504681 + 15.7933i −0.0212887 + 0.666200i
\(563\) 6.49694 7.74275i 0.273813 0.326318i −0.611561 0.791198i \(-0.709458\pi\)
0.885374 + 0.464880i \(0.153902\pi\)
\(564\) 0.307508 29.4811i 0.0129484 1.24138i
\(565\) 5.73134 15.7467i 0.241119 0.662470i
\(566\) 1.10836 + 7.72036i 0.0465876 + 0.324511i
\(567\) −20.2559 10.6563i −0.850666 0.447522i
\(568\) 14.0137 6.38911i 0.588002 0.268081i
\(569\) 24.4642 + 8.90425i 1.02559 + 0.373286i 0.799402 0.600797i \(-0.205150\pi\)
0.226192 + 0.974083i \(0.427372\pi\)
\(570\) −1.01560 + 6.58519i −0.0425387 + 0.275823i
\(571\) −22.3872 + 26.6800i −0.936875 + 1.11652i 0.0561264 + 0.998424i \(0.482125\pi\)
−0.993002 + 0.118101i \(0.962319\pi\)
\(572\) 2.51947 + 22.6780i 0.105344 + 0.948216i
\(573\) 0.746895 0.993433i 0.0312020 0.0415013i
\(574\) −2.68130 + 2.99568i −0.111915 + 0.125037i
\(575\) −6.86205 11.8854i −0.286167 0.495656i
\(576\) 6.15329 23.1978i 0.256387 0.966574i
\(577\) 11.8592 20.5407i 0.493704 0.855121i −0.506269 0.862375i \(-0.668976\pi\)
0.999974 + 0.00725427i \(0.00230913\pi\)
\(578\) −1.19417 3.63857i −0.0496709 0.151345i
\(579\) 1.42511 0.927702i 0.0592254 0.0385540i
\(580\) 5.92278 4.35699i 0.245930 0.180914i
\(581\) −1.79932 4.94358i −0.0746482 0.205094i
\(582\) 9.93749 + 3.37667i 0.411922 + 0.139968i
\(583\) −11.6769 66.2227i −0.483606 2.74267i
\(584\) 1.60062 16.6509i 0.0662341 0.689019i
\(585\) −4.41631 + 9.97815i −0.182592 + 0.412546i
\(586\) 27.4454 21.5739i 1.13376 0.891211i
\(587\) 2.48626 + 2.96301i 0.102619 + 0.122297i 0.814910 0.579588i \(-0.196787\pi\)
−0.712290 + 0.701885i \(0.752342\pi\)
\(588\) 1.17120 + 1.42573i 0.0482997 + 0.0587960i
\(589\) 9.19005 + 1.62045i 0.378669 + 0.0667696i
\(590\) 27.7684 + 17.2374i 1.14320 + 0.709654i
\(591\) 7.90133 + 34.0536i 0.325017 + 1.40078i
\(592\) 0.728176 + 3.23674i 0.0299279 + 0.133029i
\(593\) −26.8686 −1.10336 −0.551681 0.834055i \(-0.686013\pi\)
−0.551681 + 0.834055i \(0.686013\pi\)
\(594\) 33.3980 25.4965i 1.37034 1.04613i
\(595\) 20.5805i 0.843718i
\(596\) 0.679467 10.6206i 0.0278320 0.435038i
\(597\) −5.37449 5.75075i −0.219963 0.235362i
\(598\) 12.1798 19.6208i 0.498069 0.802356i
\(599\) 2.03050 11.5155i 0.0829641 0.470513i −0.914813 0.403877i \(-0.867662\pi\)
0.997777 0.0666356i \(-0.0212265\pi\)
\(600\) −7.83172 + 2.48017i −0.319729 + 0.101253i
\(601\) 0.584501 0.490455i 0.0238423 0.0200061i −0.630789 0.775955i \(-0.717268\pi\)
0.654631 + 0.755949i \(0.272824\pi\)
\(602\) 12.0554 9.47637i 0.491343 0.386228i
\(603\) −9.88911 + 40.0377i −0.402716 + 1.63046i
\(604\) 8.92875 36.7371i 0.363306 1.49481i
\(605\) 38.9467 6.86735i 1.58341 0.279198i
\(606\) 10.6981 2.12463i 0.434583 0.0863073i
\(607\) −15.9168 + 5.79324i −0.646043 + 0.235140i −0.644199 0.764858i \(-0.722809\pi\)
−0.00184385 + 0.999998i \(0.500587\pi\)
\(608\) −7.37193 4.11183i −0.298971 0.166757i
\(609\) 8.87054 0.474660i 0.359452 0.0192342i
\(610\) 5.37655 + 16.3821i 0.217690 + 0.663290i
\(611\) −14.7065 8.49080i −0.594961 0.343501i
\(612\) −26.6115 + 1.14576i −1.07571 + 0.0463146i
\(613\) −1.34923 + 0.778977i −0.0544948 + 0.0314626i −0.527000 0.849865i \(-0.676683\pi\)
0.472505 + 0.881328i \(0.343350\pi\)
\(614\) 0.861005 + 0.770646i 0.0347473 + 0.0311008i
\(615\) 0.426296 3.50373i 0.0171899 0.141284i
\(616\) 39.8170 10.3042i 1.60427 0.415166i
\(617\) 1.08543 + 0.910783i 0.0436977 + 0.0366667i 0.664375 0.747399i \(-0.268698\pi\)
−0.620677 + 0.784066i \(0.713142\pi\)
\(618\) 13.7756 + 11.0629i 0.554136 + 0.445017i
\(619\) 7.56328 20.7799i 0.303994 0.835216i −0.689802 0.723998i \(-0.742302\pi\)
0.993796 0.111218i \(-0.0354753\pi\)
\(620\) −6.41439 21.8796i −0.257608 0.878706i
\(621\) −42.5223 0.602010i −1.70636 0.0241578i
\(622\) 22.5549 3.23804i 0.904369 0.129834i
\(623\) 0.540515 + 0.196731i 0.0216553 + 0.00788187i
\(624\) −9.90054 9.64744i −0.396339 0.386207i
\(625\) −10.5742 8.87277i −0.422966 0.354911i
\(626\) −0.630116 + 19.7186i −0.0251845 + 0.788114i
\(627\) −5.78925 13.5971i −0.231201 0.543014i
\(628\) 4.71887 + 3.14241i 0.188303 + 0.125396i
\(629\) 3.18875 1.84102i 0.127144 0.0734065i
\(630\) 18.9343 + 5.32376i 0.754362 + 0.212104i
\(631\) 8.25297 14.2946i 0.328546 0.569058i −0.653678 0.756773i \(-0.726775\pi\)
0.982224 + 0.187715i \(0.0601082\pi\)
\(632\) −7.57027 11.0110i −0.301129 0.437996i
\(633\) −13.0277 + 25.6380i −0.517806 + 1.01902i
\(634\) 4.23051 + 7.89989i 0.168015 + 0.313745i
\(635\) 6.24719 + 17.1640i 0.247912 + 0.681134i
\(636\) 30.9330 + 26.5106i 1.22657 + 1.05121i
\(637\) 1.04661 0.184546i 0.0414682 0.00731196i
\(638\) −6.06423 + 15.1384i −0.240085 + 0.599337i
\(639\) −14.6667 + 7.19335i −0.580204 + 0.284565i
\(640\) −1.01181 + 20.5994i −0.0399952 + 0.814262i
\(641\) −4.85841 + 4.07669i −0.191896 + 0.161020i −0.733674 0.679502i \(-0.762196\pi\)
0.541778 + 0.840522i \(0.317751\pi\)
\(642\) −20.9812 11.5189i −0.828063 0.454616i
\(643\) 24.0170 + 4.23484i 0.947136 + 0.167006i 0.625821 0.779967i \(-0.284764\pi\)
0.321315 + 0.946972i \(0.395875\pi\)
\(644\) −38.1275 16.7055i −1.50244 0.658290i
\(645\) −3.92179 + 12.8782i −0.154420 + 0.507078i
\(646\) −1.92062 + 9.16929i −0.0755659 + 0.360761i
\(647\) 0.0393111 0.00154548 0.000772740 1.00000i \(-0.499754\pi\)
0.000772740 1.00000i \(0.499754\pi\)
\(648\) −5.82974 + 24.7793i −0.229014 + 0.973423i
\(649\) −72.4899 −2.84548
\(650\) −0.970074 + 4.63125i −0.0380494 + 0.181653i
\(651\) 8.02485 26.3516i 0.314519 1.03280i
\(652\) 2.23257 5.09547i 0.0874343 0.199554i
\(653\) −18.6456 3.28772i −0.729657 0.128658i −0.203536 0.979068i \(-0.565243\pi\)
−0.526122 + 0.850409i \(0.676354\pi\)
\(654\) 4.09611 + 2.24881i 0.160171 + 0.0879356i
\(655\) −0.660147 + 0.553929i −0.0257941 + 0.0216438i
\(656\) 3.97265 + 2.05230i 0.155106 + 0.0801287i
\(657\) −1.19874 + 17.7018i −0.0467673 + 0.690613i
\(658\) −11.3824 + 28.4144i −0.443731 + 1.10771i
\(659\) −5.41769 + 0.955285i −0.211043 + 0.0372126i −0.278170 0.960532i \(-0.589728\pi\)
0.0671268 + 0.997744i \(0.478617\pi\)
\(660\) −23.4968 + 27.4165i −0.914611 + 1.06719i
\(661\) −1.27423 3.50092i −0.0495619 0.136170i 0.912442 0.409206i \(-0.134194\pi\)
−0.962004 + 0.273036i \(0.911972\pi\)
\(662\) 1.02538 + 1.91475i 0.0398524 + 0.0744189i
\(663\) −6.95011 + 13.6775i −0.269920 + 0.531190i
\(664\) −4.82151 + 3.31486i −0.187111 + 0.128642i
\(665\) 3.45884 5.99089i 0.134128 0.232317i
\(666\) −0.868903 3.40993i −0.0336693 0.132132i
\(667\) 14.2941 8.25268i 0.553468 0.319545i
\(668\) −15.0158 + 22.5489i −0.580979 + 0.872442i
\(669\) 17.1265 + 40.2245i 0.662148 + 1.55517i
\(670\) 1.13192 35.4220i 0.0437300 1.36847i
\(671\) −29.2944 24.5810i −1.13090 0.948937i
\(672\) −14.6771 + 20.1358i −0.566180 + 0.776755i
\(673\) −22.5738 8.21619i −0.870156 0.316711i −0.131926 0.991260i \(-0.542116\pi\)
−0.738230 + 0.674549i \(0.764338\pi\)
\(674\) −37.8283 + 5.43073i −1.45709 + 0.209184i
\(675\) 8.22927 2.86395i 0.316745 0.110233i
\(676\) 17.3093 5.07451i 0.665740 0.195173i
\(677\) −9.88247 + 27.1519i −0.379814 + 1.04353i 0.591619 + 0.806218i \(0.298489\pi\)
−0.971433 + 0.237313i \(0.923733\pi\)
\(678\) −17.5563 14.0991i −0.674245 0.541474i
\(679\) −8.34729 7.00421i −0.320339 0.268797i
\(680\) 22.1595 5.73462i 0.849780 0.219913i
\(681\) −4.74577 + 39.0055i −0.181858 + 1.49469i
\(682\) 37.6809 + 33.7265i 1.44288 + 1.29145i
\(683\) 1.77809 1.02658i 0.0680367 0.0392810i −0.465596 0.884998i \(-0.654160\pi\)
0.533632 + 0.845717i \(0.320827\pi\)
\(684\) 7.93905 + 4.13891i 0.303557 + 0.158255i
\(685\) −24.1041 13.9165i −0.920970 0.531722i
\(686\) −8.44787 25.7402i −0.322541 0.982765i
\(687\) 49.2175 2.63362i 1.87776 0.100479i
\(688\) −13.5626 10.3399i −0.517070 0.394204i
\(689\) 22.0500 8.02553i 0.840036 0.305748i
\(690\) 35.8448 7.11871i 1.36459 0.271005i
\(691\) 20.6353 3.63855i 0.785002 0.138417i 0.233241 0.972419i \(-0.425067\pi\)
0.551761 + 0.834002i \(0.313956\pi\)
\(692\) −2.24630 0.545952i −0.0853916 0.0207540i
\(693\) −41.9072 + 12.1164i −1.59192 + 0.460265i
\(694\) −32.1600 + 25.2799i −1.22078 + 0.959612i
\(695\) 26.1104 21.9092i 0.990423 0.831063i
\(696\) −2.98279 9.41887i −0.113063 0.357021i
\(697\) 0.861745 4.88720i 0.0326409 0.185116i
\(698\) 18.4942 29.7928i 0.700014 1.12768i
\(699\) −11.1576 11.9387i −0.422020 0.451565i
\(700\) 8.51161 + 0.544540i 0.321709 + 0.0205817i
\(701\) 26.5126i 1.00137i −0.865631 0.500683i \(-0.833082\pi\)
0.865631 0.500683i \(-0.166918\pi\)
\(702\) 10.7856 + 9.93229i 0.407078 + 0.374870i
\(703\) −1.23764 −0.0466785
\(704\) −22.1895 40.0008i −0.836298 1.50759i
\(705\) −6.07378 26.1771i −0.228752 0.985888i
\(706\) 21.8924 + 13.5899i 0.823931 + 0.511462i
\(707\) −11.1519 1.96638i −0.419410 0.0739532i
\(708\) 33.9349 27.8768i 1.27535 1.04768i
\(709\) −17.5498 20.9151i −0.659097 0.785481i 0.328159 0.944623i \(-0.393572\pi\)
−0.987256 + 0.159141i \(0.949128\pi\)
\(710\) 11.0364 8.67535i 0.414189 0.325580i
\(711\) 8.35580 + 11.4478i 0.313367 + 0.429325i
\(712\) 0.0612147 0.636804i 0.00229412 0.0238652i
\(713\) −8.88772 50.4047i −0.332848 1.88767i
\(714\) 26.1838 + 8.89703i 0.979904 + 0.332963i
\(715\) 7.11317 + 19.5433i 0.266017 + 0.730877i
\(716\) 24.5552 + 33.3796i 0.917670 + 1.24746i
\(717\) −23.6259 + 15.3798i −0.882327 + 0.574369i
\(718\) 11.2019 + 34.1316i 0.418052 + 1.27378i
\(719\) 19.0704 33.0308i 0.711204 1.23184i −0.253201 0.967414i \(-0.581483\pi\)
0.964405 0.264428i \(-0.0851832\pi\)
\(720\) 0.456299 21.8705i 0.0170052 0.815066i
\(721\) −9.17157 15.8856i −0.341567 0.591612i
\(722\) −15.8202 + 17.6752i −0.588768 + 0.657801i
\(723\) 0.939969 1.25024i 0.0349578 0.0464968i
\(724\) −48.3369 + 5.37012i −1.79643 + 0.199579i
\(725\) −2.17380 + 2.59063i −0.0807328 + 0.0962136i
\(726\) 8.09974 52.5192i 0.300609 1.94917i
\(727\) 38.8266 + 14.1317i 1.44000 + 0.524117i 0.939779 0.341782i \(-0.111030\pi\)
0.500220 + 0.865898i \(0.333253\pi\)
\(728\) 5.95374 + 13.0588i 0.220660 + 0.483991i
\(729\) 5.43936 26.4464i 0.201458 0.979497i
\(730\) −2.16665 15.0920i −0.0801913 0.558580i
\(731\) −6.47369 + 17.7863i −0.239438 + 0.657850i
\(732\) 23.1666 + 0.241643i 0.856261 + 0.00893140i
\(733\) 13.9691 16.6477i 0.515960 0.614897i −0.443661 0.896195i \(-0.646320\pi\)
0.959620 + 0.281298i \(0.0907649\pi\)
\(734\) −1.20524 + 37.7162i −0.0444861 + 1.39213i
\(735\) 1.34422 + 1.01063i 0.0495824 + 0.0372777i
\(736\) −7.36330 + 45.7078i −0.271415 + 1.68481i
\(737\) 39.3019 + 68.0729i 1.44770 + 2.50750i
\(738\) −4.27337 2.05704i −0.157305 0.0757206i
\(739\) 39.8621 + 23.0144i 1.46635 + 0.846599i 0.999292 0.0376271i \(-0.0119799\pi\)
0.467060 + 0.884226i \(0.345313\pi\)
\(740\) 1.34168 + 2.70999i 0.0493212 + 0.0996212i
\(741\) 4.32185 2.81340i 0.158767 0.103353i
\(742\) −19.9672 37.2861i −0.733020 1.36881i
\(743\) −10.9274 + 3.97726i −0.400888 + 0.145911i −0.534593 0.845110i \(-0.679535\pi\)
0.133704 + 0.991021i \(0.457313\pi\)
\(744\) −30.6096 1.29785i −1.12220 0.0475816i
\(745\) −1.68442 9.55280i −0.0617122 0.349988i
\(746\) 22.8795 + 9.16517i 0.837677 + 0.335561i
\(747\) 5.01275 3.65883i 0.183407 0.133870i
\(748\) −35.0492 + 36.7274i −1.28152 + 1.34289i
\(749\) 15.9733 + 19.0362i 0.583651 + 0.695568i
\(750\) −25.4931 + 15.4591i −0.930878 + 0.564485i
\(751\) −1.89939 + 10.7720i −0.0693097 + 0.393075i 0.930342 + 0.366692i \(0.119510\pi\)
−0.999652 + 0.0263824i \(0.991601\pi\)
\(752\) 33.7661 + 4.33821i 1.23132 + 0.158198i
\(753\) −2.46710 10.6328i −0.0899060 0.387482i
\(754\) −5.56980 1.16667i −0.202840 0.0424875i
\(755\) 34.4595i 1.25411i
\(756\) 14.9586 21.7880i 0.544039 0.792421i
\(757\) 52.8391i 1.92047i −0.279192 0.960235i \(-0.590066\pi\)
0.279192 0.960235i \(-0.409934\pi\)
\(758\) 0.0560315 0.267501i 0.00203516 0.00971609i
\(759\) −59.2185 + 55.3440i −2.14950 + 2.00886i
\(760\) −7.41433 2.05490i −0.268946 0.0745391i
\(761\) 4.77033 27.0539i 0.172924 0.980703i −0.767588 0.640944i \(-0.778543\pi\)
0.940512 0.339760i \(-0.110346\pi\)
\(762\) 24.5378 0.527994i 0.888912 0.0191272i
\(763\) −3.11842 3.71639i −0.112894 0.134542i
\(764\) 1.03825 + 0.990812i 0.0375627 + 0.0358463i
\(765\) −23.3228 + 6.74321i −0.843237 + 0.243801i
\(766\) 7.45865 18.6194i 0.269492 0.672747i
\(767\) −4.39252 24.9112i −0.158605 0.899492i
\(768\) 25.7704 + 10.1925i 0.929909 + 0.367789i
\(769\) −5.63814 + 2.05211i −0.203316 + 0.0740011i −0.441671 0.897177i \(-0.645614\pi\)
0.238355 + 0.971178i \(0.423392\pi\)
\(770\) 33.0473 17.6973i 1.19094 0.637767i
\(771\) 1.13323 + 21.1780i 0.0408122 + 0.762705i
\(772\) 0.871190 + 1.75967i 0.0313548 + 0.0633319i
\(773\) −24.1709 13.9551i −0.869366