Properties

Label 354.2.e.c.25.3
Level 354
Weight 2
Character 354.25
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 25.3
Character \(\chi\) = 354.25
Dual form 354.2.e.c.85.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.796093 + 0.605174i) q^{2} +(-0.468408 - 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(2.16601 + 2.05176i) q^{5} +(0.161782 - 0.986827i) q^{6} +(2.55368 - 3.00642i) q^{7} +(-0.370138 + 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +O(q^{10})\) \(q+(0.796093 + 0.605174i) q^{2} +(-0.468408 - 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(2.16601 + 2.05176i) q^{5} +(0.161782 - 0.986827i) q^{6} +(2.55368 - 3.00642i) q^{7} +(-0.370138 + 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +(0.482678 + 2.94421i) q^{10} +(-4.21067 - 2.53347i) q^{11} +(0.725995 - 0.687699i) q^{12} +(2.39796 + 3.53673i) q^{13} +(3.85237 - 0.847971i) q^{14} +(0.798173 - 2.87476i) q^{15} +(-0.856857 + 0.515554i) q^{16} +(2.93291 + 3.45289i) q^{17} +(-0.947653 + 0.319302i) q^{18} +(2.82893 - 1.30880i) q^{19} +(-1.39750 + 2.63597i) q^{20} +(-3.85237 - 0.847971i) q^{21} +(-1.81889 - 4.56507i) q^{22} +(-5.01520 - 1.68982i) q^{23} +(0.994138 - 0.108119i) q^{24} +(0.211213 + 3.89560i) q^{25} +(-0.231337 + 4.26675i) q^{26} +(0.994138 + 0.108119i) q^{27} +(3.58002 + 1.65629i) q^{28} +(0.0463382 - 0.0352254i) q^{29} +(2.37515 - 1.80554i) q^{30} +(5.76664 + 2.66793i) q^{31} +(-0.994138 - 0.108119i) q^{32} +(-0.266043 + 4.90688i) q^{33} +(0.245270 + 4.52375i) q^{34} +(11.6997 - 1.27242i) q^{35} +(-0.947653 - 0.319302i) q^{36} +(-4.00887 - 10.0615i) q^{37} +(3.04414 + 0.670066i) q^{38} +(2.00152 - 3.77526i) q^{39} +(-2.70776 + 1.25274i) q^{40} +(1.68597 - 0.568069i) q^{41} +(-2.55368 - 3.00642i) q^{42} +(-10.0283 + 6.03380i) q^{43} +(1.31466 - 4.73496i) q^{44} +(-2.91376 + 0.641366i) q^{45} +(-2.96993 - 4.38032i) q^{46} +(-8.86933 + 8.40147i) q^{47} +(0.856857 + 0.515554i) q^{48} +(-1.38483 - 8.44707i) q^{49} +(-2.18937 + 3.22908i) q^{50} +(1.67687 - 4.20863i) q^{51} +(-2.76629 + 3.25673i) q^{52} +(0.474904 - 2.89678i) q^{53} +(0.725995 + 0.687699i) q^{54} +(-3.92229 - 14.1268i) q^{55} +(1.84768 + 3.48510i) q^{56} +(-2.48143 - 1.88634i) q^{57} +0.0582071 q^{58} +(-4.47030 - 6.24631i) q^{59} +2.98351 q^{60} +(-10.6025 - 8.05984i) q^{61} +(2.97622 + 5.61374i) q^{62} +(1.05529 + 3.80081i) q^{63} +(-0.725995 - 0.687699i) q^{64} +(-2.06249 + 12.5806i) q^{65} +(-3.18131 + 3.74533i) q^{66} +(4.07322 - 10.2230i) q^{67} +(-2.54240 + 3.74975i) q^{68} +(0.856188 + 5.22252i) q^{69} +(10.0841 + 6.06742i) q^{70} +(-7.94686 + 7.52767i) q^{71} +(-0.561187 - 0.827689i) q^{72} +(-0.904407 + 0.199075i) q^{73} +(2.89753 - 10.4360i) q^{74} +(3.34288 - 2.01134i) q^{75} +(2.01791 + 2.37567i) q^{76} +(-18.3694 + 6.18936i) q^{77} +(3.87809 - 1.79419i) q^{78} +(-3.19651 + 6.02925i) q^{79} +(-2.91376 - 0.641366i) q^{80} +(-0.370138 - 0.928977i) q^{81} +(1.68597 + 0.568069i) q^{82} +(2.24867 - 0.244557i) q^{83} +(-0.213556 - 3.93881i) q^{84} +(-0.731766 + 13.4966i) q^{85} +(-11.6349 - 1.26538i) q^{86} +(-0.0528273 - 0.0244405i) q^{87} +(3.91207 - 2.97388i) q^{88} +(-0.491323 + 0.373494i) q^{89} +(-2.70776 - 1.25274i) q^{90} +(16.7565 + 1.82238i) q^{91} +(0.286516 - 5.28447i) q^{92} +(-0.343993 - 6.34457i) q^{93} +(-12.1452 + 1.32087i) q^{94} +(8.81283 + 2.96939i) q^{95} +(0.370138 + 0.928977i) q^{96} +(4.80724 + 1.05815i) q^{97} +(4.00950 - 7.56272i) q^{98} +(4.45990 - 2.06337i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{6}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.796093 + 0.605174i 0.562923 + 0.427923i
\(3\) −0.468408 0.883512i −0.270436 0.510096i
\(4\) 0.267528 + 0.963550i 0.133764 + 0.481775i
\(5\) 2.16601 + 2.05176i 0.968671 + 0.917574i 0.996629 0.0820353i \(-0.0261420\pi\)
−0.0279585 + 0.999609i \(0.508901\pi\)
\(6\) 0.161782 0.986827i 0.0660472 0.402870i
\(7\) 2.55368 3.00642i 0.965199 1.13632i −0.0254211 0.999677i \(-0.508093\pi\)
0.990620 0.136643i \(-0.0436315\pi\)
\(8\) −0.370138 + 0.928977i −0.130864 + 0.328443i
\(9\) −0.561187 + 0.827689i −0.187062 + 0.275896i
\(10\) 0.482678 + 2.94421i 0.152636 + 0.931040i
\(11\) −4.21067 2.53347i −1.26956 0.763871i −0.288486 0.957484i \(-0.593152\pi\)
−0.981078 + 0.193613i \(0.937979\pi\)
\(12\) 0.725995 0.687699i 0.209577 0.198522i
\(13\) 2.39796 + 3.53673i 0.665075 + 0.980912i 0.999262 + 0.0384056i \(0.0122279\pi\)
−0.334187 + 0.942507i \(0.608462\pi\)
\(14\) 3.85237 0.847971i 1.02959 0.226630i
\(15\) 0.798173 2.87476i 0.206087 0.742260i
\(16\) −0.856857 + 0.515554i −0.214214 + 0.128888i
\(17\) 2.93291 + 3.45289i 0.711336 + 0.837449i 0.992504 0.122209i \(-0.0389978\pi\)
−0.281168 + 0.959658i \(0.590722\pi\)
\(18\) −0.947653 + 0.319302i −0.223364 + 0.0752601i
\(19\) 2.82893 1.30880i 0.649000 0.300259i −0.0676325 0.997710i \(-0.521545\pi\)
0.716633 + 0.697451i \(0.245682\pi\)
\(20\) −1.39750 + 2.63597i −0.312491 + 0.589420i
\(21\) −3.85237 0.847971i −0.840657 0.185043i
\(22\) −1.81889 4.56507i −0.387788 0.973276i
\(23\) −5.01520 1.68982i −1.04574 0.352351i −0.256571 0.966525i \(-0.582593\pi\)
−0.789171 + 0.614174i \(0.789489\pi\)
\(24\) 0.994138 0.108119i 0.202928 0.0220697i
\(25\) 0.211213 + 3.89560i 0.0422427 + 0.779121i
\(26\) −0.231337 + 4.26675i −0.0453688 + 0.836779i
\(27\) 0.994138 + 0.108119i 0.191322 + 0.0208075i
\(28\) 3.58002 + 1.65629i 0.676560 + 0.313010i
\(29\) 0.0463382 0.0352254i 0.00860479 0.00654119i −0.600863 0.799352i \(-0.705176\pi\)
0.609468 + 0.792811i \(0.291383\pi\)
\(30\) 2.37515 1.80554i 0.433641 0.329645i
\(31\) 5.76664 + 2.66793i 1.03572 + 0.479174i 0.862685 0.505741i \(-0.168781\pi\)
0.173034 + 0.984916i \(0.444643\pi\)
\(32\) −0.994138 0.108119i −0.175740 0.0191129i
\(33\) −0.266043 + 4.90688i −0.0463121 + 0.854177i
\(34\) 0.245270 + 4.52375i 0.0420635 + 0.775816i
\(35\) 11.6997 1.27242i 1.97762 0.215079i
\(36\) −0.947653 0.319302i −0.157942 0.0532169i
\(37\) −4.00887 10.0615i −0.659054 1.65410i −0.752593 0.658486i \(-0.771197\pi\)
0.0935391 0.995616i \(-0.470182\pi\)
\(38\) 3.04414 + 0.670066i 0.493825 + 0.108699i
\(39\) 2.00152 3.77526i 0.320499 0.604526i
\(40\) −2.70776 + 1.25274i −0.428134 + 0.198076i
\(41\) 1.68597 0.568069i 0.263304 0.0887175i −0.184553 0.982823i \(-0.559084\pi\)
0.447857 + 0.894105i \(0.352187\pi\)
\(42\) −2.55368 3.00642i −0.394041 0.463901i
\(43\) −10.0283 + 6.03380i −1.52930 + 0.920147i −0.531993 + 0.846749i \(0.678557\pi\)
−0.997303 + 0.0733976i \(0.976616\pi\)
\(44\) 1.31466 4.73496i 0.198192 0.713823i
\(45\) −2.91376 + 0.641366i −0.434357 + 0.0956092i
\(46\) −2.96993 4.38032i −0.437893 0.645843i
\(47\) −8.86933 + 8.40147i −1.29372 + 1.22548i −0.334645 + 0.942344i \(0.608616\pi\)
−0.959080 + 0.283137i \(0.908625\pi\)
\(48\) 0.856857 + 0.515554i 0.123677 + 0.0744138i
\(49\) −1.38483 8.44707i −0.197832 1.20672i
\(50\) −2.18937 + 3.22908i −0.309624 + 0.456661i
\(51\) 1.67687 4.20863i 0.234809 0.589326i
\(52\) −2.76629 + 3.25673i −0.383616 + 0.451627i
\(53\) 0.474904 2.89678i 0.0652330 0.397904i −0.933947 0.357412i \(-0.883659\pi\)
0.999180 0.0404919i \(-0.0128925\pi\)
\(54\) 0.725995 + 0.687699i 0.0987955 + 0.0935840i
\(55\) −3.92229 14.1268i −0.528881 1.90486i
\(56\) 1.84768 + 3.48510i 0.246907 + 0.465716i
\(57\) −2.48143 1.88634i −0.328674 0.249851i
\(58\) 0.0582071 0.00764296
\(59\) −4.47030 6.24631i −0.581984 0.813200i
\(60\) 2.98351 0.385169
\(61\) −10.6025 8.05984i −1.35752 1.03196i −0.994989 0.0999830i \(-0.968121\pi\)
−0.362526 0.931973i \(-0.618086\pi\)
\(62\) 2.97622 + 5.61374i 0.377980 + 0.712946i
\(63\) 1.05529 + 3.80081i 0.132954 + 0.478858i
\(64\) −0.725995 0.687699i −0.0907494 0.0859624i
\(65\) −2.06249 + 12.5806i −0.255821 + 1.56044i
\(66\) −3.18131 + 3.74533i −0.391592 + 0.461018i
\(67\) 4.07322 10.2230i 0.497623 1.24894i −0.438965 0.898504i \(-0.644655\pi\)
0.936587 0.350434i \(-0.113966\pi\)
\(68\) −2.54240 + 3.74975i −0.308311 + 0.454725i
\(69\) 0.856188 + 5.22252i 0.103073 + 0.628717i
\(70\) 10.0841 + 6.06742i 1.20528 + 0.725195i
\(71\) −7.94686 + 7.52767i −0.943119 + 0.893370i −0.994439 0.105313i \(-0.966416\pi\)
0.0513202 + 0.998682i \(0.483657\pi\)
\(72\) −0.561187 0.827689i −0.0661365 0.0975441i
\(73\) −0.904407 + 0.199075i −0.105853 + 0.0233000i −0.267581 0.963535i \(-0.586224\pi\)
0.161728 + 0.986835i \(0.448293\pi\)
\(74\) 2.89753 10.4360i 0.336831 1.21316i
\(75\) 3.34288 2.01134i 0.386002 0.232250i
\(76\) 2.01791 + 2.37567i 0.231470 + 0.272508i
\(77\) −18.3694 + 6.18936i −2.09338 + 0.705343i
\(78\) 3.87809 1.79419i 0.439107 0.203152i
\(79\) −3.19651 + 6.02925i −0.359635 + 0.678344i −0.995634 0.0933464i \(-0.970244\pi\)
0.635999 + 0.771690i \(0.280588\pi\)
\(80\) −2.91376 0.641366i −0.325768 0.0717069i
\(81\) −0.370138 0.928977i −0.0411265 0.103220i
\(82\) 1.68597 + 0.568069i 0.186184 + 0.0627328i
\(83\) 2.24867 0.244557i 0.246823 0.0268437i 0.0161290 0.999870i \(-0.494866\pi\)
0.230694 + 0.973026i \(0.425900\pi\)
\(84\) −0.213556 3.93881i −0.0233009 0.429759i
\(85\) −0.731766 + 13.4966i −0.0793712 + 1.46392i
\(86\) −11.6349 1.26538i −1.25463 0.136449i
\(87\) −0.0528273 0.0244405i −0.00566368 0.00262030i
\(88\) 3.91207 2.97388i 0.417028 0.317016i
\(89\) −0.491323 + 0.373494i −0.0520801 + 0.0395903i −0.630890 0.775872i \(-0.717310\pi\)
0.578810 + 0.815462i \(0.303517\pi\)
\(90\) −2.70776 1.25274i −0.285423 0.132051i
\(91\) 16.7565 + 1.82238i 1.75656 + 0.191037i
\(92\) 0.286516 5.28447i 0.0298713 0.550944i
\(93\) −0.343993 6.34457i −0.0356704 0.657902i
\(94\) −12.1452 + 1.32087i −1.25268 + 0.136237i
\(95\) 8.81283 + 2.96939i 0.904178 + 0.304653i
\(96\) 0.370138 + 0.928977i 0.0377771 + 0.0948133i
\(97\) 4.80724 + 1.05815i 0.488102 + 0.107439i 0.452201 0.891916i \(-0.350639\pi\)
0.0359006 + 0.999355i \(0.488570\pi\)
\(98\) 4.00950 7.56272i 0.405020 0.763950i
\(99\) 4.45990 2.06337i 0.448237 0.207376i
\(100\) −3.69710 + 1.24570i −0.369710 + 0.124570i
\(101\) −2.24217 2.63968i −0.223104 0.262658i 0.639210 0.769032i \(-0.279261\pi\)
−0.862314 + 0.506374i \(0.830986\pi\)
\(102\) 3.88190 2.33566i 0.384365 0.231265i
\(103\) 3.98951 14.3689i 0.393098 1.41581i −0.457131 0.889400i \(-0.651123\pi\)
0.850229 0.526413i \(-0.176463\pi\)
\(104\) −4.17312 + 0.918572i −0.409208 + 0.0900734i
\(105\) −6.60446 9.74085i −0.644530 0.950610i
\(106\) 2.13113 2.01871i 0.206993 0.196074i
\(107\) 5.98374 + 3.60030i 0.578470 + 0.348054i 0.774529 0.632538i \(-0.217987\pi\)
−0.196059 + 0.980592i \(0.562814\pi\)
\(108\) 0.161782 + 0.986827i 0.0155675 + 0.0949574i
\(109\) 2.80899 4.14296i 0.269053 0.396823i −0.669029 0.743236i \(-0.733290\pi\)
0.938082 + 0.346413i \(0.112600\pi\)
\(110\) 5.42667 13.6199i 0.517413 1.29861i
\(111\) −7.01167 + 8.25478i −0.665518 + 0.783509i
\(112\) −0.638165 + 3.89263i −0.0603009 + 0.367819i
\(113\) 6.55822 + 6.21227i 0.616945 + 0.584402i 0.931007 0.365001i \(-0.118931\pi\)
−0.314062 + 0.949403i \(0.601690\pi\)
\(114\) −0.833890 3.00340i −0.0781009 0.281294i
\(115\) −7.39590 13.9501i −0.689671 1.30086i
\(116\) 0.0463382 + 0.0352254i 0.00430240 + 0.00327060i
\(117\) −4.27302 −0.395041
\(118\) 0.221327 7.67796i 0.0203748 0.706813i
\(119\) 17.8706 1.63819
\(120\) 2.37515 + 1.80554i 0.216821 + 0.164823i
\(121\) 6.15873 + 11.6166i 0.559884 + 1.05605i
\(122\) −3.56300 12.8328i −0.322579 1.16182i
\(123\) −1.29162 1.22349i −0.116461 0.110318i
\(124\) −1.02795 + 6.27019i −0.0923122 + 0.563080i
\(125\) 2.12207 2.49830i 0.189804 0.223454i
\(126\) −1.46005 + 3.66444i −0.130071 + 0.326454i
\(127\) −4.14940 + 6.11990i −0.368199 + 0.543053i −0.965983 0.258604i \(-0.916738\pi\)
0.597784 + 0.801657i \(0.296048\pi\)
\(128\) −0.161782 0.986827i −0.0142996 0.0872240i
\(129\) 10.0283 + 6.03380i 0.882939 + 0.531247i
\(130\) −9.25542 + 8.76720i −0.811754 + 0.768934i
\(131\) 6.14070 + 9.05685i 0.536515 + 0.791301i 0.995258 0.0972683i \(-0.0310105\pi\)
−0.458743 + 0.888569i \(0.651700\pi\)
\(132\) −4.79919 + 1.05638i −0.417716 + 0.0919463i
\(133\) 3.28936 11.8472i 0.285223 1.02728i
\(134\) 9.42936 5.67346i 0.814572 0.490112i
\(135\) 1.93148 + 2.27392i 0.166236 + 0.195708i
\(136\) −4.29324 + 1.44656i −0.368142 + 0.124042i
\(137\) 3.82676 1.77045i 0.326943 0.151260i −0.249551 0.968362i \(-0.580283\pi\)
0.576493 + 0.817102i \(0.304421\pi\)
\(138\) −2.47893 + 4.67575i −0.211020 + 0.398026i
\(139\) 4.32047 + 0.951006i 0.366457 + 0.0806633i 0.394382 0.918947i \(-0.370959\pi\)
−0.0279246 + 0.999610i \(0.508890\pi\)
\(140\) 4.35606 + 10.9329i 0.368154 + 0.923997i
\(141\) 11.5773 + 3.90084i 0.974982 + 0.328510i
\(142\) −10.8820 + 1.18349i −0.913196 + 0.0993161i
\(143\) −1.13681 20.9672i −0.0950645 1.75336i
\(144\) 0.0541389 0.998533i 0.00451158 0.0832111i
\(145\) 0.172643 + 0.0187761i 0.0143372 + 0.00155927i
\(146\) −0.840467 0.388841i −0.0695576 0.0321808i
\(147\) −6.81442 + 5.18019i −0.562044 + 0.427255i
\(148\) 8.62228 6.55448i 0.708747 0.538775i
\(149\) −3.54813 1.64154i −0.290674 0.134480i 0.269133 0.963103i \(-0.413263\pi\)
−0.559807 + 0.828623i \(0.689125\pi\)
\(150\) 3.87846 + 0.421807i 0.316675 + 0.0344404i
\(151\) −0.342725 + 6.32119i −0.0278905 + 0.514411i 0.950894 + 0.309517i \(0.100168\pi\)
−0.978784 + 0.204893i \(0.934315\pi\)
\(152\) 0.168752 + 3.11244i 0.0136876 + 0.252452i
\(153\) −4.50383 + 0.489821i −0.364113 + 0.0395997i
\(154\) −18.3694 6.18936i −1.48025 0.498753i
\(155\) 7.01667 + 17.6105i 0.563593 + 1.41451i
\(156\) 4.17312 + 0.918572i 0.334117 + 0.0735447i
\(157\) −6.49569 + 12.2522i −0.518412 + 0.977829i 0.476699 + 0.879067i \(0.341833\pi\)
−0.995111 + 0.0987625i \(0.968512\pi\)
\(158\) −6.19346 + 2.86540i −0.492726 + 0.227959i
\(159\) −2.78179 + 0.937295i −0.220610 + 0.0743323i
\(160\) −1.93148 2.27392i −0.152697 0.179769i
\(161\) −17.8875 + 10.7626i −1.40973 + 0.848208i
\(162\) 0.267528 0.963550i 0.0210190 0.0757036i
\(163\) −2.47255 + 0.544250i −0.193665 + 0.0426290i −0.310744 0.950494i \(-0.600578\pi\)
0.117078 + 0.993123i \(0.462647\pi\)
\(164\) 0.998408 + 1.47254i 0.0779625 + 0.114986i
\(165\) −10.6440 + 10.0825i −0.828632 + 0.784922i
\(166\) 1.93815 + 1.16615i 0.150430 + 0.0905104i
\(167\) 1.19737 + 7.30363i 0.0926552 + 0.565172i 0.991828 + 0.127579i \(0.0407206\pi\)
−0.899173 + 0.437593i \(0.855831\pi\)
\(168\) 2.21366 3.26490i 0.170787 0.251892i
\(169\) −1.94644 + 4.88519i −0.149726 + 0.375784i
\(170\) −8.75037 + 10.3017i −0.671123 + 0.790107i
\(171\) −0.504277 + 3.07595i −0.0385630 + 0.235224i
\(172\) −8.49672 8.04852i −0.647869 0.613694i
\(173\) −0.935936 3.37094i −0.0711579 0.256287i 0.919412 0.393296i \(-0.128665\pi\)
−0.990570 + 0.137008i \(0.956251\pi\)
\(174\) −0.0272647 0.0514266i −0.00206693 0.00389864i
\(175\) 12.2512 + 9.31312i 0.926103 + 0.704005i
\(176\) 4.91408 0.370413
\(177\) −3.42476 + 6.87539i −0.257421 + 0.516786i
\(178\) −0.617167 −0.0462587
\(179\) −12.4380 9.45513i −0.929661 0.706710i 0.0264701 0.999650i \(-0.491573\pi\)
−0.956131 + 0.292940i \(0.905366\pi\)
\(180\) −1.39750 2.63597i −0.104164 0.196473i
\(181\) 5.30711 + 19.1145i 0.394475 + 1.42077i 0.848223 + 0.529639i \(0.177673\pi\)
−0.453748 + 0.891130i \(0.649914\pi\)
\(182\) 12.2369 + 11.5914i 0.907059 + 0.859212i
\(183\) −2.15465 + 13.1428i −0.159276 + 0.971541i
\(184\) 3.42612 4.03354i 0.252577 0.297356i
\(185\) 11.9605 30.0186i 0.879353 2.20701i
\(186\) 3.56572 5.25905i 0.261451 0.385612i
\(187\) −3.60171 21.9694i −0.263383 1.60656i
\(188\) −10.4680 6.29841i −0.763460 0.459359i
\(189\) 2.86376 2.71270i 0.208308 0.197320i
\(190\) 5.21884 + 7.69721i 0.378614 + 0.558414i
\(191\) 26.5740 5.84937i 1.92283 0.423246i 0.923624 0.383301i \(-0.125213\pi\)
0.999202 0.0399452i \(-0.0127183\pi\)
\(192\) −0.267528 + 0.963550i −0.0193072 + 0.0695382i
\(193\) 4.05276 2.43846i 0.291724 0.175524i −0.362167 0.932113i \(-0.617963\pi\)
0.653891 + 0.756589i \(0.273135\pi\)
\(194\) 3.18665 + 3.75161i 0.228788 + 0.269350i
\(195\) 12.0812 4.07064i 0.865155 0.291505i
\(196\) 7.76869 3.59418i 0.554907 0.256727i
\(197\) 4.67818 8.82399i 0.333307 0.628683i −0.659048 0.752101i \(-0.729041\pi\)
0.992355 + 0.123418i \(0.0393855\pi\)
\(198\) 4.79919 + 1.05638i 0.341064 + 0.0750738i
\(199\) 6.62791 + 16.6348i 0.469840 + 1.17921i 0.952808 + 0.303572i \(0.0981794\pi\)
−0.482968 + 0.875638i \(0.660441\pi\)
\(200\) −3.69710 1.24570i −0.261425 0.0880842i
\(201\) −10.9401 + 1.18980i −0.771653 + 0.0839224i
\(202\) −0.187506 3.45834i −0.0131928 0.243328i
\(203\) 0.0124305 0.229267i 0.000872448 0.0160914i
\(204\) 4.50383 + 0.489821i 0.315331 + 0.0342944i
\(205\) 4.81737 + 2.22875i 0.336460 + 0.155663i
\(206\) 11.8717 9.02465i 0.827142 0.628777i
\(207\) 4.21311 3.20272i 0.292831 0.222605i
\(208\) −3.87809 1.79419i −0.268897 0.124405i
\(209\) −15.2275 1.65609i −1.05331 0.114554i
\(210\) 0.637146 11.7515i 0.0439673 0.810929i
\(211\) 1.39079 + 25.6517i 0.0957463 + 1.76594i 0.514174 + 0.857686i \(0.328098\pi\)
−0.418428 + 0.908250i \(0.637419\pi\)
\(212\) 2.91825 0.317378i 0.200426 0.0217976i
\(213\) 10.3732 + 3.49513i 0.710757 + 0.239482i
\(214\) 2.58481 + 6.48738i 0.176694 + 0.443468i
\(215\) −34.1013 7.50625i −2.32569 0.511922i
\(216\) −0.468408 + 0.883512i −0.0318712 + 0.0601154i
\(217\) 22.7471 10.5239i 1.54417 0.714409i
\(218\) 4.74343 1.59825i 0.321266 0.108247i
\(219\) 0.599517 + 0.705806i 0.0405116 + 0.0476939i
\(220\) 12.5626 7.55864i 0.846968 0.509604i
\(221\) −5.17893 + 18.6528i −0.348373 + 1.25472i
\(222\) −10.5775 + 2.32829i −0.709917 + 0.156265i
\(223\) −1.69504 2.49999i −0.113508 0.167412i 0.766691 0.642016i \(-0.221902\pi\)
−0.880199 + 0.474604i \(0.842591\pi\)
\(224\) −2.86376 + 2.71270i −0.191343 + 0.181250i
\(225\) −3.34288 2.01134i −0.222859 0.134090i
\(226\) 1.46144 + 8.91441i 0.0972138 + 0.592978i
\(227\) −0.526700 + 0.776824i −0.0349583 + 0.0515596i −0.844767 0.535135i \(-0.820261\pi\)
0.809808 + 0.586695i \(0.199571\pi\)
\(228\) 1.15373 2.89563i 0.0764074 0.191768i
\(229\) 3.61719 4.25848i 0.239030 0.281408i −0.629546 0.776963i \(-0.716759\pi\)
0.868577 + 0.495554i \(0.165035\pi\)
\(230\) 2.55444 15.5814i 0.168435 1.02741i
\(231\) 14.0727 + 13.3304i 0.925919 + 0.877077i
\(232\) 0.0155720 + 0.0560854i 0.00102235 + 0.00368219i
\(233\) 0.789927 + 1.48996i 0.0517498 + 0.0976106i 0.908038 0.418888i \(-0.137580\pi\)
−0.856288 + 0.516499i \(0.827235\pi\)
\(234\) −3.40172 2.58592i −0.222377 0.169047i
\(235\) −36.4489 −2.37766
\(236\) 4.82270 5.97843i 0.313931 0.389162i
\(237\) 6.82419 0.443279
\(238\) 14.2266 + 10.8148i 0.922175 + 0.701020i
\(239\) −8.12514 15.3256i −0.525572 0.991333i −0.994160 0.107917i \(-0.965582\pi\)
0.468588 0.883417i \(-0.344763\pi\)
\(240\) 0.798173 + 2.87476i 0.0515219 + 0.185565i
\(241\) −8.19897 7.76647i −0.528142 0.500282i 0.376522 0.926407i \(-0.377120\pi\)
−0.904664 + 0.426125i \(0.859878\pi\)
\(242\) −2.12714 + 12.9750i −0.136738 + 0.834064i
\(243\) −0.647386 + 0.762162i −0.0415298 + 0.0488927i
\(244\) 4.92958 12.3723i 0.315584 0.792056i
\(245\) 14.3318 21.1378i 0.915624 1.35044i
\(246\) −0.287826 1.75566i −0.0183511 0.111937i
\(247\) 11.4125 + 6.86669i 0.726162 + 0.436917i
\(248\) −4.61290 + 4.36957i −0.292919 + 0.277468i
\(249\) −1.26936 1.87217i −0.0804427 0.118644i
\(250\) 3.20127 0.704653i 0.202466 0.0445662i
\(251\) −4.20027 + 15.1280i −0.265119 + 0.954871i 0.704390 + 0.709813i \(0.251221\pi\)
−0.969509 + 0.245058i \(0.921193\pi\)
\(252\) −3.37995 + 2.03365i −0.212917 + 0.128108i
\(253\) 16.8362 + 19.8211i 1.05848 + 1.24614i
\(254\) −7.00691 + 2.36090i −0.439653 + 0.148136i
\(255\) 12.2672 5.67542i 0.768202 0.355408i
\(256\) 0.468408 0.883512i 0.0292755 0.0552195i
\(257\) 10.0321 + 2.20823i 0.625785 + 0.137746i 0.516531 0.856268i \(-0.327223\pi\)
0.109253 + 0.994014i \(0.465154\pi\)
\(258\) 4.33193 + 10.8723i 0.269694 + 0.676881i
\(259\) −40.4865 13.6415i −2.51571 0.847641i
\(260\) −12.6739 + 1.37836i −0.785999 + 0.0854825i
\(261\) 0.00315127 + 0.0581217i 0.000195058 + 0.00359764i
\(262\) −0.592406 + 10.9263i −0.0365990 + 0.675028i
\(263\) 23.7051 + 2.57809i 1.46172 + 0.158972i 0.804153 0.594422i \(-0.202619\pi\)
0.657569 + 0.753394i \(0.271585\pi\)
\(264\) −4.45990 2.06337i −0.274488 0.126992i
\(265\) 6.97215 5.30009i 0.428295 0.325582i
\(266\) 9.78825 7.44084i 0.600156 0.456227i
\(267\) 0.560126 + 0.259142i 0.0342792 + 0.0158592i
\(268\) 10.9401 + 1.18980i 0.668271 + 0.0726789i
\(269\) −0.963509 + 17.7709i −0.0587462 + 1.08351i 0.809418 + 0.587233i \(0.199783\pi\)
−0.868164 + 0.496277i \(0.834700\pi\)
\(270\) 0.161524 + 2.97913i 0.00983003 + 0.181304i
\(271\) 4.83366 0.525692i 0.293624 0.0319335i 0.0398785 0.999205i \(-0.487303\pi\)
0.253746 + 0.967271i \(0.418337\pi\)
\(272\) −4.29324 1.44656i −0.260316 0.0877106i
\(273\) −6.23880 15.6582i −0.377589 0.947678i
\(274\) 4.11789 + 0.906416i 0.248771 + 0.0547586i
\(275\) 8.98006 16.9382i 0.541518 1.02141i
\(276\) −4.80310 + 2.22215i −0.289113 + 0.133758i
\(277\) 0.927286 0.312439i 0.0557152 0.0187726i −0.291306 0.956630i \(-0.594090\pi\)
0.347021 + 0.937857i \(0.387193\pi\)
\(278\) 2.86397 + 3.37172i 0.171769 + 0.202223i
\(279\) −5.44438 + 3.27577i −0.325946 + 0.196115i
\(280\) −3.14847 + 11.3398i −0.188157 + 0.677681i
\(281\) −17.5355 + 3.85985i −1.04608 + 0.230259i −0.704581 0.709623i \(-0.748865\pi\)
−0.341498 + 0.939883i \(0.610934\pi\)
\(282\) 6.85590 + 10.1117i 0.408263 + 0.602143i
\(283\) 12.0205 11.3864i 0.714544 0.676852i −0.241392 0.970428i \(-0.577604\pi\)
0.955936 + 0.293576i \(0.0948453\pi\)
\(284\) −9.37929 5.64333i −0.556559 0.334870i
\(285\) −1.50451 9.17713i −0.0891197 0.543606i
\(286\) 11.7838 17.3798i 0.696790 1.02769i
\(287\) 2.59757 6.51940i 0.153329 0.384828i
\(288\) 0.647386 0.762162i 0.0381476 0.0449108i
\(289\) −0.570192 + 3.47801i −0.0335407 + 0.204589i
\(290\) 0.126077 + 0.119427i 0.00740351 + 0.00701298i
\(291\) −1.31686 4.74291i −0.0771958 0.278034i
\(292\) −0.433773 0.818183i −0.0253847 0.0478805i
\(293\) −17.6427 13.4117i −1.03070 0.783517i −0.0540895 0.998536i \(-0.517226\pi\)
−0.976610 + 0.215019i \(0.931019\pi\)
\(294\) −8.55983 −0.499220
\(295\) 3.13317 22.7016i 0.182420 1.32174i
\(296\) 10.8307 0.629524
\(297\) −3.91207 2.97388i −0.227001 0.172562i
\(298\) −1.83122 3.45405i −0.106080 0.200088i
\(299\) −6.04983 21.7895i −0.349871 1.26012i
\(300\) 2.83234 + 2.68294i 0.163525 + 0.154900i
\(301\) −7.46878 + 45.5576i −0.430494 + 2.62589i
\(302\) −4.09826 + 4.82484i −0.235828 + 0.277639i
\(303\) −1.28194 + 3.21743i −0.0736457 + 0.184837i
\(304\) −1.74923 + 2.57992i −0.100325 + 0.147968i
\(305\) −6.42841 39.2116i −0.368090 2.24525i
\(306\) −3.88190 2.33566i −0.221913 0.133521i
\(307\) 5.45192 5.16434i 0.311158 0.294744i −0.516144 0.856502i \(-0.672633\pi\)
0.827302 + 0.561757i \(0.189875\pi\)
\(308\) −10.8781 16.0440i −0.619837 0.914190i
\(309\) −14.5638 + 3.20574i −0.828508 + 0.182368i
\(310\) −5.07151 + 18.2659i −0.288042 + 1.03743i
\(311\) −3.87909 + 2.33397i −0.219963 + 0.132348i −0.621271 0.783596i \(-0.713383\pi\)
0.401308 + 0.915943i \(0.368556\pi\)
\(312\) 2.76629 + 3.25673i 0.156610 + 0.184376i
\(313\) 5.81715 1.96003i 0.328805 0.110787i −0.150057 0.988677i \(-0.547946\pi\)
0.478862 + 0.877890i \(0.341049\pi\)
\(314\) −12.5859 + 5.82284i −0.710262 + 0.328602i
\(315\) −5.51258 + 10.3978i −0.310598 + 0.585851i
\(316\) −6.66464 1.46700i −0.374915 0.0825251i
\(317\) −5.37510 13.4905i −0.301896 0.757702i −0.999164 0.0408908i \(-0.986980\pi\)
0.697268 0.716811i \(-0.254399\pi\)
\(318\) −2.78179 0.937295i −0.155995 0.0525609i
\(319\) −0.284357 + 0.0309257i −0.0159210 + 0.00173151i
\(320\) −0.161524 2.97913i −0.00902946 0.166539i
\(321\) 0.378071 6.97312i 0.0211019 0.389201i
\(322\) −20.7533 2.25706i −1.15654 0.125781i
\(323\) 12.8161 + 5.92938i 0.713109 + 0.329919i
\(324\) 0.796093 0.605174i 0.0442274 0.0336208i
\(325\) −13.2712 + 10.0885i −0.736154 + 0.559610i
\(326\) −2.29775 1.06305i −0.127261 0.0588770i
\(327\) −4.97611 0.541184i −0.275179 0.0299276i
\(328\) −0.0963185 + 1.77649i −0.00531830 + 0.0980903i
\(329\) 2.60897 + 48.1196i 0.143837 + 2.65292i
\(330\) −14.5753 + 1.58516i −0.802342 + 0.0872599i
\(331\) −23.0307 7.75996i −1.26588 0.426526i −0.395302 0.918551i \(-0.629360\pi\)
−0.870581 + 0.492025i \(0.836257\pi\)
\(332\) 0.837226 + 2.10128i 0.0459487 + 0.115323i
\(333\) 10.5775 + 2.32829i 0.579645 + 0.127589i
\(334\) −3.46675 + 6.53898i −0.189692 + 0.357797i
\(335\) 29.7978 13.7859i 1.62803 0.753205i
\(336\) 3.73811 1.25952i 0.203931 0.0687122i
\(337\) 10.8123 + 12.7292i 0.588983 + 0.693405i 0.973232 0.229825i \(-0.0738153\pi\)
−0.384249 + 0.923230i \(0.625539\pi\)
\(338\) −4.50594 + 2.71113i −0.245091 + 0.147466i
\(339\) 2.41669 8.70415i 0.131257 0.472744i
\(340\) −13.2005 + 2.90564i −0.715895 + 0.157580i
\(341\) −17.5223 25.8434i −0.948883 1.39950i
\(342\) −2.26294 + 2.14357i −0.122366 + 0.115911i
\(343\) −5.27217 3.17216i −0.284670 0.171280i
\(344\) −1.89342 11.5494i −0.102086 0.622700i
\(345\) −8.86082 + 13.0687i −0.477050 + 0.703597i
\(346\) 1.29491 3.24998i 0.0696149 0.174720i
\(347\) 18.9462 22.3052i 1.01709 1.19741i 0.0369007 0.999319i \(-0.488251\pi\)
0.980185 0.198086i \(-0.0634727\pi\)
\(348\) 0.00941685 0.0574403i 0.000504796 0.00307912i
\(349\) 19.4007 + 18.3774i 1.03850 + 0.983718i 0.999879 0.0155364i \(-0.00494558\pi\)
0.0386188 + 0.999254i \(0.487704\pi\)
\(350\) 4.11703 + 14.8282i 0.220065 + 0.792601i
\(351\) 2.00152 + 3.77526i 0.106833 + 0.201509i
\(352\) 3.91207 + 2.97388i 0.208514 + 0.158508i
\(353\) −23.2230 −1.23603 −0.618017 0.786164i \(-0.712064\pi\)
−0.618017 + 0.786164i \(0.712064\pi\)
\(354\) −6.88724 + 3.40087i −0.366053 + 0.180754i
\(355\) −32.6580 −1.73330
\(356\) −0.491323 0.373494i −0.0260401 0.0197951i
\(357\) −8.37072 15.7889i −0.443026 0.835635i
\(358\) −4.17981 15.0543i −0.220910 0.795646i
\(359\) 8.82753 + 8.36188i 0.465899 + 0.441323i 0.884286 0.466946i \(-0.154646\pi\)
−0.418387 + 0.908269i \(0.637404\pi\)
\(360\) 0.482678 2.94421i 0.0254394 0.155173i
\(361\) −6.01048 + 7.07608i −0.316341 + 0.372425i
\(362\) −7.34264 + 18.4286i −0.385921 + 0.968588i
\(363\) 7.37860 10.8826i 0.387276 0.571190i
\(364\) 2.72689 + 16.6333i 0.142928 + 0.871821i
\(365\) −2.36741 1.42442i −0.123916 0.0745578i
\(366\) −9.66896 + 9.15893i −0.505405 + 0.478745i
\(367\) 13.1874 + 19.4500i 0.688379 + 1.01528i 0.997924 + 0.0643987i \(0.0205129\pi\)
−0.309545 + 0.950885i \(0.600177\pi\)
\(368\) 5.16850 1.13767i 0.269427 0.0593053i
\(369\) −0.475960 + 1.71425i −0.0247775 + 0.0892404i
\(370\) 27.6881 16.6594i 1.43944 0.866081i
\(371\) −7.49620 8.82521i −0.389183 0.458182i
\(372\) 6.02129 2.02881i 0.312189 0.105189i
\(373\) 18.1099 8.37855i 0.937697 0.433825i 0.109327 0.994006i \(-0.465130\pi\)
0.828370 + 0.560181i \(0.189268\pi\)
\(374\) 10.4280 19.6694i 0.539221 1.01708i
\(375\) −3.20127 0.704653i −0.165313 0.0363881i
\(376\) −4.52190 11.3491i −0.233199 0.585285i
\(377\) 0.235700 + 0.0794166i 0.0121392 + 0.00409016i
\(378\) 3.92147 0.426486i 0.201699 0.0219361i
\(379\) −0.163946 3.02380i −0.00842132 0.155322i −0.999719 0.0236861i \(-0.992460\pi\)
0.991298 0.131636i \(-0.0420230\pi\)
\(380\) −0.503472 + 9.28600i −0.0258276 + 0.476362i
\(381\) 7.35062 + 0.799428i 0.376584 + 0.0409559i
\(382\) 24.6952 + 11.4252i 1.26352 + 0.584566i
\(383\) −19.8237 + 15.0696i −1.01294 + 0.770021i −0.973380 0.229197i \(-0.926390\pi\)
−0.0395645 + 0.999217i \(0.512597\pi\)
\(384\) −0.796093 + 0.605174i −0.0406255 + 0.0308827i
\(385\) −52.4874 24.2832i −2.67500 1.23759i
\(386\) 4.70207 + 0.511381i 0.239329 + 0.0260286i
\(387\) 0.633617 11.6864i 0.0322086 0.594052i
\(388\) 0.266489 + 4.91511i 0.0135289 + 0.249527i
\(389\) 15.8044 1.71883i 0.801315 0.0871483i 0.301708 0.953400i \(-0.402443\pi\)
0.499607 + 0.866252i \(0.333478\pi\)
\(390\) 12.0812 + 4.07064i 0.611757 + 0.206125i
\(391\) −8.87439 22.2730i −0.448797 1.12640i
\(392\) 8.35971 + 1.84011i 0.422229 + 0.0929396i
\(393\) 5.12548 9.66769i 0.258546 0.487670i
\(394\) 9.06432 4.19360i 0.456654 0.211271i
\(395\) −19.2942 + 6.50099i −0.970799 + 0.327100i
\(396\) 3.18131 + 3.74533i 0.159867 + 0.188210i
\(397\) 15.0391 9.04871i 0.754789 0.454142i −0.0854603 0.996342i \(-0.527236\pi\)
0.840249 + 0.542200i \(0.182409\pi\)
\(398\) −4.79052 + 17.2539i −0.240127 + 0.864860i
\(399\) −12.0079 + 2.64314i −0.601147 + 0.132322i
\(400\) −2.18937 3.22908i −0.109469 0.161454i
\(401\) 5.70951 5.40834i 0.285119 0.270079i −0.531751 0.846901i \(-0.678466\pi\)
0.816870 + 0.576821i \(0.195707\pi\)
\(402\) −9.42936 5.67346i −0.470294 0.282966i
\(403\) 4.39243 + 26.7926i 0.218802 + 1.33464i
\(404\) 1.94362 2.86663i 0.0966989 0.142620i
\(405\) 1.10431 2.77161i 0.0548736 0.137722i
\(406\) 0.148642 0.174995i 0.00737698 0.00868485i
\(407\) −8.61055 + 52.5220i −0.426809 + 2.60342i
\(408\) 3.28904 + 3.11555i 0.162832 + 0.154243i
\(409\) −2.41484 8.69748i −0.119406 0.430063i 0.879547 0.475813i \(-0.157846\pi\)
−0.998953 + 0.0457501i \(0.985432\pi\)
\(410\) 2.48629 + 4.68965i 0.122789 + 0.231605i
\(411\) −3.35670 2.55170i −0.165574 0.125866i
\(412\) 14.9125 0.734685
\(413\) −30.1947 2.51144i −1.48579 0.123580i
\(414\) 5.29223 0.260099
\(415\) 5.37242 + 4.08401i 0.263722 + 0.200476i
\(416\) −2.00152 3.77526i −0.0981325 0.185097i
\(417\) −1.18352 4.26264i −0.0579571 0.208743i
\(418\) −11.1203 10.5337i −0.543910 0.515219i
\(419\) 4.47619 27.3035i 0.218676 1.33386i −0.618005 0.786174i \(-0.712059\pi\)
0.836681 0.547690i \(-0.184493\pi\)
\(420\) 7.61892 8.96968i 0.371765 0.437676i
\(421\) −7.47542 + 18.7619i −0.364330 + 0.914399i 0.626517 + 0.779408i \(0.284480\pi\)
−0.990847 + 0.134991i \(0.956899\pi\)
\(422\) −14.4165 + 21.2628i −0.701786 + 1.03506i
\(423\) −1.97646 12.0558i −0.0960986 0.586175i
\(424\) 2.51526 + 1.51338i 0.122152 + 0.0734965i
\(425\) −12.8316 + 12.1548i −0.622425 + 0.589593i
\(426\) 6.14284 + 9.06001i 0.297622 + 0.438959i
\(427\) −51.3067 + 11.2935i −2.48291 + 0.546529i
\(428\) −1.86825 + 6.72882i −0.0903051 + 0.325250i
\(429\) −17.9923 + 10.8256i −0.868674 + 0.522664i
\(430\) −22.6052 26.6129i −1.09012 1.28339i
\(431\) 0.579633 0.195301i 0.0279199 0.00940732i −0.305307 0.952254i \(-0.598759\pi\)
0.333227 + 0.942847i \(0.391863\pi\)
\(432\) −0.907575 + 0.419889i −0.0436657 + 0.0202019i
\(433\) 3.90213 7.36020i 0.187524 0.353709i −0.771868 0.635783i \(-0.780678\pi\)
0.959393 + 0.282074i \(0.0910223\pi\)
\(434\) 24.4776 + 5.38792i 1.17496 + 0.258628i
\(435\) −0.0642787 0.161327i −0.00308193 0.00773505i
\(436\) 4.74343 + 1.59825i 0.227169 + 0.0765422i
\(437\) −16.3993 + 1.78353i −0.784483 + 0.0853177i
\(438\) 0.0501357 + 0.924699i 0.00239558 + 0.0441838i
\(439\) 0.728642 13.4390i 0.0347762 0.641409i −0.928243 0.371975i \(-0.878681\pi\)
0.963019 0.269434i \(-0.0868366\pi\)
\(440\) 14.5753 + 1.58516i 0.694848 + 0.0755693i
\(441\) 7.76869 + 3.59418i 0.369938 + 0.171151i
\(442\) −15.4111 + 11.7152i −0.733032 + 0.557237i
\(443\) −9.96079 + 7.57200i −0.473251 + 0.359756i −0.814449 0.580235i \(-0.802961\pi\)
0.341197 + 0.939992i \(0.389168\pi\)
\(444\) −9.82971 4.54771i −0.466498 0.215825i
\(445\) −1.83053 0.199082i −0.0867755 0.00943740i
\(446\) 0.163524 3.01602i 0.00774307 0.142813i
\(447\) 0.211654 + 3.90373i 0.0100109 + 0.184640i
\(448\) −3.92147 + 0.426486i −0.185272 + 0.0201496i
\(449\) 35.9916 + 12.1270i 1.69855 + 0.572307i 0.990941 0.134300i \(-0.0428785\pi\)
0.707606 + 0.706607i \(0.249775\pi\)
\(450\) −1.44403 3.62424i −0.0680722 0.170848i
\(451\) −8.53824 1.87941i −0.402050 0.0884979i
\(452\) −4.23133 + 7.98113i −0.199025 + 0.375401i
\(453\) 5.74538 2.65810i 0.269941 0.124888i
\(454\) −0.889416 + 0.299679i −0.0417424 + 0.0140646i
\(455\) 32.5558 + 38.3276i 1.52624 + 1.79683i
\(456\) 2.67084 1.60699i 0.125073 0.0752541i
\(457\) 11.3037 40.7123i 0.528765 1.90444i 0.117050 0.993126i \(-0.462656\pi\)
0.411715 0.911313i \(-0.364930\pi\)
\(458\) 5.45674 1.20112i 0.254977 0.0561246i
\(459\) 2.54240 + 3.74975i 0.118669 + 0.175024i
\(460\) 11.4630 10.8584i 0.534467 0.506274i
\(461\) −17.9636 10.8083i −0.836649 0.503395i 0.0316136 0.999500i \(-0.489935\pi\)
−0.868262 + 0.496105i \(0.834763\pi\)
\(462\) 3.13599 + 19.1287i 0.145900 + 0.889948i
\(463\) 19.3978 28.6096i 0.901493 1.32960i −0.0423142 0.999104i \(-0.513473\pi\)
0.943807 0.330498i \(-0.107217\pi\)
\(464\) −0.0215447 + 0.0540730i −0.00100019 + 0.00251028i
\(465\) 12.2724 14.4482i 0.569121 0.670020i
\(466\) −0.272830 + 1.66419i −0.0126386 + 0.0770921i
\(467\) −1.76455 1.67147i −0.0816536 0.0773464i 0.645784 0.763520i \(-0.276530\pi\)
−0.727438 + 0.686173i \(0.759289\pi\)
\(468\) −1.14315 4.11727i −0.0528423 0.190321i
\(469\) −20.3330 38.3521i −0.938889 1.77093i
\(470\) −29.0167 22.0579i −1.33844 1.01746i
\(471\) 13.8676 0.638984
\(472\) 7.45731 1.84081i 0.343250 0.0847302i
\(473\) 57.5121 2.64441
\(474\) 5.43269 + 4.12982i 0.249532 + 0.189689i
\(475\) 5.69607 + 10.7439i 0.261354 + 0.492966i
\(476\) 4.78088 + 17.2192i 0.219131 + 0.789240i
\(477\) 2.13113 + 2.01871i 0.0975776 + 0.0924304i
\(478\) 2.80632 17.1178i 0.128358 0.782948i
\(479\) 23.4628 27.6225i 1.07204 1.26211i 0.108631 0.994082i \(-0.465353\pi\)
0.963412 0.268024i \(-0.0863707\pi\)
\(480\) −1.10431 + 2.77161i −0.0504046 + 0.126506i
\(481\) 25.9717 38.3054i 1.18421 1.74658i
\(482\) −1.82707 11.1446i −0.0832208 0.507624i
\(483\) 17.8875 + 10.7626i 0.813910 + 0.489713i
\(484\) −9.54554 + 9.04201i −0.433888 + 0.411001i
\(485\) 8.24148 + 12.1553i 0.374226 + 0.551943i
\(486\) −0.976621 + 0.214970i −0.0443004 + 0.00975126i
\(487\) −1.66562 + 5.99903i −0.0754766 + 0.271842i −0.991653 0.128932i \(-0.958845\pi\)
0.916177 + 0.400774i \(0.131259\pi\)
\(488\) 11.4118 6.86626i 0.516588 0.310821i
\(489\) 1.63902 + 1.92960i 0.0741189 + 0.0872595i
\(490\) 24.2015 8.15443i 1.09331 0.368380i
\(491\) −32.0317 + 14.8195i −1.44557 + 0.668793i −0.976727 0.214487i \(-0.931192\pi\)
−0.468846 + 0.883280i \(0.655330\pi\)
\(492\) 0.833345 1.57186i 0.0375701 0.0708647i
\(493\) 0.257536 + 0.0566879i 0.0115988 + 0.00255309i
\(494\) 4.92989 + 12.3731i 0.221806 + 0.556692i
\(495\) 13.8937 + 4.68135i 0.624477 + 0.210411i
\(496\) −6.31665 + 0.686977i −0.283626 + 0.0308462i
\(497\) 2.33762 + 43.1148i 0.104857 + 1.93396i
\(498\) 0.122458 2.25861i 0.00548749 0.101211i
\(499\) 2.44533 + 0.265945i 0.109468 + 0.0119054i 0.162689 0.986677i \(-0.447983\pi\)
−0.0532211 + 0.998583i \(0.516949\pi\)
\(500\) 2.97495 + 1.37636i 0.133044 + 0.0615526i
\(501\) 5.89198 4.47897i 0.263234 0.200106i
\(502\) −12.4989 + 9.50140i −0.557852 + 0.424068i
\(503\) −5.87731 2.71913i −0.262056 0.121240i 0.284462 0.958687i \(-0.408185\pi\)
−0.546518 + 0.837447i \(0.684047\pi\)
\(504\) −3.92147 0.426486i −0.174676 0.0189972i
\(505\) 0.559424 10.3180i 0.0248941 0.459144i
\(506\) 1.40796 + 25.9683i 0.0625915 + 1.15443i
\(507\) 5.22785 0.568563i 0.232177 0.0252508i
\(508\) −7.00691 2.36090i −0.310881 0.104748i
\(509\) 10.2564 + 25.7415i 0.454605 + 1.14097i 0.960476 + 0.278363i \(0.0897918\pi\)
−0.505871 + 0.862609i \(0.668829\pi\)
\(510\) 13.2005 + 2.90564i 0.584526 + 0.128664i
\(511\) −1.71106 + 3.22740i −0.0756928 + 0.142772i
\(512\) 0.907575 0.419889i 0.0401095 0.0185567i
\(513\) 2.95385 0.995267i 0.130416 0.0439421i
\(514\) 6.65011 + 7.82912i 0.293324 + 0.345328i
\(515\) 38.1229 22.9378i 1.67990 1.01076i
\(516\) −3.13103 + 11.2769i −0.137836 + 0.496440i
\(517\) 58.6307 12.9056i 2.57858 0.567587i
\(518\) −23.9755 35.3613i −1.05342 1.55368i
\(519\) −2.53986 + 2.40588i −0.111488 + 0.105607i
\(520\) −10.9237 6.57258i −0.479037 0.288227i
\(521\) −1.41395 8.62474i −0.0619465 0.377857i −0.999546 0.0301390i \(-0.990405\pi\)
0.937599 0.347718i \(-0.113043\pi\)
\(522\) −0.0326650 + 0.0481773i −0.00142971 + 0.00210866i
\(523\) −5.29217 + 13.2823i −0.231410 + 0.580796i −0.998126 0.0611904i \(-0.980510\pi\)
0.766716 + 0.641987i \(0.221890\pi\)
\(524\) −7.08392 + 8.33983i −0.309462 + 0.364327i
\(525\) 2.48969 15.1864i 0.108659 0.662790i
\(526\) 17.3113 + 16.3981i 0.754809 + 0.714993i
\(527\) 7.70097 + 27.7364i 0.335459 + 1.20822i
\(528\) −2.30180 4.34165i −0.100173 0.188946i
\(529\) 3.98661 + 3.03054i 0.173331 + 0.131763i
\(530\) 8.75795 0.380421
\(531\) 7.67868 0.194674i 0.333226 0.00844814i
\(532\) 12.2954 0.533071
\(533\) 6.05200 + 4.60061i 0.262141 + 0.199275i
\(534\) 0.289086 + 0.545275i 0.0125100 + 0.0235964i
\(535\) 5.57393 + 20.0755i 0.240982 + 0.867939i
\(536\) 7.98928 + 7.56785i 0.345084 + 0.326881i
\(537\) −2.52765 + 15.4180i −0.109076 + 0.665336i
\(538\) −11.5215 + 13.5642i −0.496728 + 0.584793i
\(539\) −15.5694 + 39.0762i −0.670621 + 1.68313i
\(540\) −1.67431 + 2.46942i −0.0720507 + 0.106267i
\(541\) 6.06901 + 37.0193i 0.260927 + 1.59159i 0.714022 + 0.700123i \(0.246872\pi\)
−0.453095 + 0.891462i \(0.649680\pi\)
\(542\) 4.16618 + 2.50671i 0.178953 + 0.107672i
\(543\) 14.4020 13.6423i 0.618048 0.585447i
\(544\) −2.54240 3.74975i −0.109004 0.160769i
\(545\) 14.5847 3.21033i 0.624738 0.137515i
\(546\) 4.50928 16.2409i 0.192979 0.695048i
\(547\) −13.3482 + 8.03136i −0.570729 + 0.343396i −0.771487 0.636245i \(-0.780487\pi\)
0.200758 + 0.979641i \(0.435659\pi\)
\(548\) 2.72968 + 3.21363i 0.116606 + 0.137280i
\(549\) 12.6210 4.25253i 0.538653 0.181493i
\(550\) 17.3995 8.04987i 0.741918 0.343248i
\(551\) 0.0849844 0.160298i 0.00362046 0.00682891i
\(552\) −5.16850 1.13767i −0.219986 0.0484226i
\(553\) 9.96362 + 25.0068i 0.423696 + 1.06340i
\(554\) 0.927286 + 0.312439i 0.0393966 + 0.0132743i
\(555\) −32.1242 + 3.49372i −1.36360 + 0.148300i
\(556\) 0.239505 + 4.41741i 0.0101573 + 0.187340i
\(557\) 2.48089 45.7574i 0.105119 1.93880i −0.186878 0.982383i \(-0.559837\pi\)
0.291997 0.956419i \(-0.405680\pi\)
\(558\) −6.31665 0.686977i −0.267405 0.0290820i
\(559\) −45.3873 20.9984i −1.91968 0.888138i
\(560\) −9.36901 + 7.12214i −0.395913 + 0.300965i
\(561\) −17.7232 + 13.4728i −0.748274 + 0.568823i
\(562\) −16.2958 7.53922i −0.687395 0.318023i
\(563\) 6.62638 + 0.720662i 0.279269 + 0.0303723i 0.246681 0.969097i \(-0.420660\pi\)
0.0325871 + 0.999469i \(0.489625\pi\)
\(564\) −0.661403 + 12.1989i −0.0278501 + 0.513665i
\(565\) 1.45911 + 26.9117i 0.0613853 + 1.13219i
\(566\) 16.4602 1.79015i 0.691873 0.0752458i
\(567\) −3.73811 1.25952i −0.156986 0.0528947i
\(568\) −4.05159 10.1687i −0.170001 0.426670i
\(569\) 25.9253 + 5.70659i 1.08685 + 0.239233i 0.722040 0.691851i \(-0.243205\pi\)
0.364805 + 0.931084i \(0.381136\pi\)
\(570\) 4.35603 8.21634i 0.182454 0.344145i
\(571\) −27.7739 + 12.8496i −1.16230 + 0.537737i −0.903666 0.428238i \(-0.859134\pi\)
−0.258634 + 0.965975i \(0.583272\pi\)
\(572\) 19.8988 6.70468i 0.832010 0.280337i
\(573\) −17.6155 20.7385i −0.735897 0.866365i
\(574\) 6.01328 3.61807i 0.250989 0.151015i
\(575\) 5.52358 19.8941i 0.230349 0.829643i
\(576\) 0.976621 0.214970i 0.0406925 0.00895710i
\(577\) −8.79803 12.9761i −0.366267 0.540203i 0.599244 0.800566i \(-0.295468\pi\)
−0.965511 + 0.260363i \(0.916158\pi\)
\(578\) −2.55873 + 2.42376i −0.106429 + 0.100815i
\(579\) −4.05276 2.43846i −0.168427 0.101339i
\(580\) 0.0280953 + 0.171374i 0.00116659 + 0.00711590i
\(581\) 5.00713 7.38496i 0.207731 0.306380i
\(582\) 1.82194 4.57272i 0.0755218 0.189546i
\(583\) −9.33859 + 10.9942i −0.386765 + 0.455335i
\(584\) 0.149819 0.913858i 0.00619957 0.0378157i
\(585\) −9.25542 8.76720i −0.382664 0.362479i
\(586\) −5.92887 21.3539i −0.244919 0.882119i
\(587\) −0.600087 1.13188i −0.0247682 0.0467179i 0.870819 0.491604i \(-0.163589\pi\)
−0.895587 + 0.444886i \(0.853244\pi\)
\(588\) −6.81442 5.18019i −0.281022 0.213627i
\(589\) 19.8052 0.816058
\(590\) 16.2327 16.1765i 0.668290 0.665974i
\(591\) −9.98740 −0.410827
\(592\) 8.62228 + 6.55448i 0.354373 + 0.269388i
\(593\) 13.0096 + 24.5387i 0.534240 + 1.00768i 0.992886 + 0.119065i \(0.0379898\pi\)
−0.458646 + 0.888619i \(0.651665\pi\)
\(594\) −1.31466 4.73496i −0.0539410 0.194278i
\(595\) 38.7079 + 36.6661i 1.58687 + 1.50316i
\(596\) 0.632480 3.85796i 0.0259074 0.158028i
\(597\) 11.5925 13.6477i 0.474449 0.558564i
\(598\) 8.37023 21.0077i 0.342284 0.859069i
\(599\) −16.5062 + 24.3448i −0.674426 + 0.994704i 0.324384 + 0.945926i \(0.394843\pi\)
−0.998810 + 0.0487780i \(0.984467\pi\)
\(600\) 0.631164 + 3.84993i 0.0257672 + 0.157173i
\(601\) −0.905847 0.545030i −0.0369503 0.0222322i 0.496959 0.867774i \(-0.334450\pi\)
−0.533909 + 0.845542i \(0.679278\pi\)
\(602\) −33.5161 + 31.7481i −1.36601 + 1.29396i
\(603\) 6.17563 + 9.10837i 0.251491 + 0.370922i
\(604\) −6.18247 + 1.36086i −0.251561 + 0.0553728i
\(605\) −10.4945 + 37.7979i −0.426664 + 1.53670i
\(606\) −2.96765 + 1.78558i −0.120553 + 0.0725341i
\(607\) 24.2754 + 28.5792i 0.985307 + 1.15999i 0.987118 + 0.159994i \(0.0511476\pi\)
−0.00181135 + 0.999998i \(0.500577\pi\)
\(608\) −2.95385 + 0.995267i −0.119794 + 0.0403634i
\(609\) −0.208382 + 0.0964079i −0.00844408 + 0.00390665i
\(610\) 18.6122 35.1064i 0.753586 1.42141i
\(611\) −50.9821 11.2220i −2.06251 0.453994i
\(612\) −1.67687 4.20863i −0.0677835 0.170124i
\(613\) −41.1207 13.8552i −1.66085 0.559606i −0.676595 0.736356i \(-0.736545\pi\)
−0.984256 + 0.176750i \(0.943442\pi\)
\(614\) 7.46556 0.811929i 0.301285 0.0327668i
\(615\) −0.287367 5.30018i −0.0115878 0.213724i
\(616\) 1.04943 19.3556i 0.0422828 0.779861i
\(617\) −26.8169 2.91651i −1.07961 0.117414i −0.449011 0.893526i \(-0.648224\pi\)
−0.630595 + 0.776112i \(0.717189\pi\)
\(618\) −13.5342 6.26159i −0.544426 0.251878i
\(619\) 16.0681 12.2146i 0.645830 0.490947i −0.230238 0.973134i \(-0.573951\pi\)
0.876068 + 0.482187i \(0.160158\pi\)
\(620\) −15.0915 + 11.4722i −0.606087 + 0.460736i
\(621\) −4.80310 2.22215i −0.192742 0.0891718i
\(622\) −4.50058 0.489468i −0.180457 0.0196259i
\(623\) −0.131800 + 2.43091i −0.00528045 + 0.0973922i
\(624\) 0.231337 + 4.26675i 0.00926087 + 0.170807i
\(625\) 29.1146 3.16640i 1.16458 0.126656i
\(626\) 5.81715 + 1.96003i 0.232500 + 0.0783384i
\(627\) 5.66950 + 14.2294i 0.226418 + 0.568267i
\(628\) −13.5434 2.98112i −0.540439 0.118960i
\(629\) 22.9836 43.3517i 0.916417 1.72855i
\(630\) −10.6810 + 4.94156i −0.425542 + 0.196877i
\(631\) −32.7430 + 11.0324i −1.30348 + 0.439193i −0.883538 0.468359i \(-0.844845\pi\)
−0.419940 + 0.907552i \(0.637949\pi\)
\(632\) −4.41789 5.20114i −0.175734 0.206890i
\(633\) 22.0121 13.2443i 0.874903 0.526412i
\(634\) 3.88502 13.9926i 0.154294 0.555716i
\(635\) −21.5442 + 4.74224i −0.854955 + 0.188190i
\(636\) −1.64734 2.42964i −0.0653212 0.0963416i
\(637\) 26.5542 25.1535i 1.05212 0.996619i
\(638\) −0.245090 0.147466i −0.00970323 0.00583824i
\(639\) −1.77089 10.8020i −0.0700554 0.427319i
\(640\) 1.67431 2.46942i 0.0661828 0.0976123i
\(641\) 2.18493 5.48376i 0.0862995 0.216595i −0.879493 0.475912i \(-0.842118\pi\)
0.965792 + 0.259317i \(0.0834973\pi\)
\(642\) 4.52093 5.32245i 0.178427 0.210060i
\(643\) 2.56042 15.6179i 0.100973 0.615910i −0.887058 0.461658i \(-0.847255\pi\)
0.988032 0.154252i \(-0.0492968\pi\)
\(644\) −15.1557 14.3562i −0.597217 0.565714i
\(645\) 9.34145 + 33.6449i 0.367819 + 1.32477i
\(646\) 6.61453 + 12.4763i 0.260245 + 0.490875i
\(647\) −8.27225 6.28840i −0.325216 0.247223i 0.429808 0.902920i \(-0.358581\pi\)
−0.755023 + 0.655698i \(0.772374\pi\)
\(648\) 1.00000 0.0392837
\(649\) 2.99810 + 37.6265i 0.117686 + 1.47697i
\(650\) −16.6704 −0.653868
\(651\) −19.9529 15.1678i −0.782016 0.594473i
\(652\) −1.18589 2.23683i −0.0464431 0.0876009i
\(653\) −5.36869 19.3363i −0.210093 0.756687i −0.991210 0.132301i \(-0.957763\pi\)
0.781116 0.624385i \(-0.214650\pi\)
\(654\) −3.63393 3.44224i −0.142098 0.134602i
\(655\) −5.28162 + 32.2165i −0.206370 + 1.25880i
\(656\) −1.15176 + 1.35596i −0.0449689 + 0.0529414i
\(657\) 0.342769 0.860286i 0.0133727 0.0335630i
\(658\) −27.0438 + 39.8866i −1.05428 + 1.55494i
\(659\) −1.20646 7.35906i −0.0469969 0.286668i 0.952863 0.303400i \(-0.0981220\pi\)
−0.999860 + 0.0167322i \(0.994674\pi\)
\(660\) −12.5626 7.55864i −0.488997 0.294220i
\(661\) −22.2907 + 21.1148i −0.867006 + 0.821272i −0.985145 0.171725i \(-0.945066\pi\)
0.118139 + 0.992997i \(0.462307\pi\)
\(662\) −13.6385 20.1153i −0.530075 0.781801i
\(663\) 18.9059 4.16149i 0.734242 0.161619i
\(664\) −0.605130 + 2.17948i −0.0234836 + 0.0845802i
\(665\) 31.4324 18.9122i 1.21889 0.733385i
\(666\) 7.01167 + 8.25478i 0.271697 + 0.319866i
\(667\) −0.291920 + 0.0983593i −0.0113032 + 0.00380849i
\(668\) −6.71708 + 3.10765i −0.259892 + 0.120239i
\(669\) −1.41480 + 2.66860i −0.0546994 + 0.103174i
\(670\) 32.0647 + 7.05797i 1.23877 + 0.272673i
\(671\) 24.2244 + 60.7985i 0.935171 + 2.34710i
\(672\) 3.73811 + 1.25952i 0.144201 + 0.0485869i
\(673\) −44.7388 + 4.86564i −1.72455 + 0.187556i −0.916085 0.400983i \(-0.868669\pi\)
−0.808468 + 0.588540i \(0.799703\pi\)
\(674\) 0.904199 + 16.6770i 0.0348284 + 0.642373i
\(675\) −0.211213 + 3.89560i −0.00812961 + 0.149942i
\(676\) −5.22785 0.568563i −0.201071 0.0218678i
\(677\) −6.21728 2.87642i −0.238950 0.110550i 0.296760 0.954952i \(-0.404094\pi\)
−0.535710 + 0.844402i \(0.679956\pi\)
\(678\) 7.19144 5.46679i 0.276186 0.209951i
\(679\) 15.4574 11.7504i 0.593201 0.450939i
\(680\) −12.2672 5.67542i −0.470426 0.217642i
\(681\) 0.933044 + 0.101475i 0.0357543 + 0.00388852i
\(682\) 1.69041 31.1778i 0.0647291 1.19386i
\(683\) −1.69335 31.2320i −0.0647943 1.19506i −0.832414 0.554155i \(-0.813042\pi\)
0.767619 0.640906i \(-0.221441\pi\)
\(684\) −3.09874 + 0.337009i −0.118483 + 0.0128858i
\(685\) 11.9214 + 4.01677i 0.455492 + 0.153473i
\(686\) −2.27743 5.71591i −0.0869526 0.218235i
\(687\) −5.45674 1.20112i −0.208188 0.0458256i
\(688\) 5.48204 10.3402i 0.209001 0.394217i
\(689\) 11.3839 5.26677i 0.433694 0.200648i
\(690\) −14.9629 + 5.04159i −0.569628 + 0.191930i
\(691\) 22.4173 + 26.3917i 0.852796 + 1.00399i 0.999889 + 0.0148663i \(0.00473228\pi\)
−0.147094 + 0.989123i \(0.546992\pi\)
\(692\) 2.99768 1.80364i 0.113955 0.0685642i
\(693\) 5.18579 18.6775i 0.196992 0.709500i
\(694\) 28.5815 6.29126i 1.08494 0.238813i
\(695\) 7.40695 + 10.9244i 0.280962 + 0.414388i
\(696\) 0.0422581 0.0400290i 0.00160179 0.00151729i
\(697\) 6.90628 + 4.15537i 0.261594 + 0.157396i
\(698\) 4.32329 + 26.3709i 0.163639 + 0.998154i
\(699\) 0.946390 1.39582i 0.0357957 0.0527948i
\(700\) −5.69611 + 14.2962i −0.215293 + 0.540344i
\(701\) −17.9051 + 21.0795i −0.676265 + 0.796161i −0.988073 0.153984i \(-0.950790\pi\)
0.311808 + 0.950145i \(0.399065\pi\)
\(702\) −0.691297 + 4.21673i −0.0260913 + 0.159150i
\(703\) −24.5093 23.2164i −0.924386 0.875625i
\(704\) 1.31466 + 4.73496i 0.0495480 + 0.178456i
\(705\) 17.0730 + 32.2030i 0.643005 + 1.21284i
\(706\) −18.4877 14.0540i −0.695792 0.528928i
\(707\) −13.6618 −0.513804
\(708\) −7.54100 1.46057i −0.283408 0.0548914i
\(709\) 5.34563 0.200759 0.100380 0.994949i \(-0.467994\pi\)
0.100380 + 0.994949i \(0.467994\pi\)
\(710\) −25.9988 19.7638i −0.975717 0.741721i
\(711\) −3.19651 6.02925i −0.119878 0.226115i
\(712\) −0.165110 0.594672i −0.00618775 0.0222863i
\(713\) −24.4125 23.1248i −0.914256 0.866030i
\(714\) 2.89113 17.6351i 0.108198 0.659979i
\(715\) 40.5572 47.7476i 1.51675 1.78566i
\(716\) 5.78297 14.5142i 0.216120 0.542420i
\(717\) −9.73451 + 14.3573i −0.363542 + 0.536184i
\(718\) 1.96714 + 11.9990i 0.0734131 + 0.447800i
\(719\) 31.5580 + 18.9878i 1.17692 + 0.708127i 0.963205 0.268770i \(-0.0866170\pi\)
0.213712 + 0.976897i \(0.431445\pi\)
\(720\) 2.16601 2.05176i 0.0807226 0.0764645i
\(721\) −33.0111 48.6878i −1.22940 1.81323i
\(722\) −9.06716 + 1.99583i −0.337445 + 0.0742772i
\(723\) −3.02131 + 10.8818i −0.112364 + 0.404697i
\(724\) −16.9980 + 10.2273i −0.631724 + 0.380096i
\(725\) 0.147011 + 0.173075i 0.00545987 + 0.00642785i
\(726\) 12.4599 4.19824i 0.462432 0.155811i
\(727\) −1.14707 + 0.530692i −0.0425425 + 0.0196823i −0.441045 0.897485i \(-0.645392\pi\)
0.398503 + 0.917167i \(0.369530\pi\)
\(728\) −7.89518 + 14.8919i −0.292615 + 0.551930i
\(729\) 0.976621 + 0.214970i 0.0361711 + 0.00796187i
\(730\) −1.02266 2.56667i −0.0378502 0.0949967i
\(731\) −50.2461 16.9299i −1.85842 0.626174i
\(732\) −13.2401 + 1.43995i −0.489370 + 0.0532222i
\(733\) 1.48484 + 27.3863i 0.0548439 + 1.01154i 0.888391 + 0.459088i \(0.151824\pi\)
−0.833547 + 0.552449i \(0.813693\pi\)
\(734\) −1.27222 + 23.4647i −0.0469585 + 0.866099i
\(735\) −25.3886 2.76118i −0.936474 0.101848i
\(736\) 4.80310 + 2.22215i 0.177045 + 0.0819096i
\(737\) −43.0507 + 32.7263i −1.58579 + 1.20549i
\(738\) −1.41633 + 1.07667i −0.0521358 + 0.0396326i
\(739\) −23.0156 10.6481i −0.846642 0.391698i −0.0519050 0.998652i \(-0.516529\pi\)
−0.794737 + 0.606954i \(0.792391\pi\)
\(740\) 32.1242 + 3.49372i 1.18091 + 0.128432i
\(741\) 0.721079 13.2995i 0.0264895 0.488570i
\(742\) −0.626884 11.5622i −0.0230136 0.424462i
\(743\) 0.0398329 0.00433208i 0.00146133 0.000158929i −0.107388 0.994217i \(-0.534249\pi\)
0.108850 + 0.994058i \(0.465283\pi\)
\(744\) 6.02129 + 2.02881i 0.220751 + 0.0743797i
\(745\) −4.31726 10.8355i −0.158172 0.396982i
\(746\) 19.4877 + 4.28956i 0.713495 + 0.157052i
\(747\) −1.05951 + 1.99844i −0.0387653 + 0.0731191i
\(748\) 20.2051 9.34787i 0.738771 0.341792i
\(749\) 26.1046 8.79565i 0.953840 0.321386i
\(750\) −2.12207 2.49830i −0.0774871 0.0912249i
\(751\) 0.815850 0.490881i 0.0297708 0.0179125i −0.500591 0.865684i \(-0.666884\pi\)
0.530361 + 0.847772i \(0.322056\pi\)
\(752\) 3.26834 11.7715i 0.119184 0.429262i
\(753\) 15.3332 3.37510i 0.558773 0.122995i
\(754\) 0.139578 + 0.205863i 0.00508314 + 0.00749707i
\(755\) −13.7119 + 12.9886i −0.499027 + 0.472703i
\(756\) 3.37995 + 2.03365i 0.122928 + 0.0739632i
\(757\) 0.275316 + 1.67935i 0.0100065 + 0.0610372i 0.991358 0.131186i \(-0.0418785\pi\)
−0.981351 + 0.192223i \(0.938430\pi\)
\(758\) 1.69941 2.50644i