Properties

Label 384.2.w.a.11.5
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.5
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37752 + 0.320040i) q^{2} +(-1.61000 - 0.638681i) q^{3} +(1.79515 - 0.881727i) q^{4} +(-0.665070 - 0.355487i) q^{5} +(2.42221 + 0.364535i) q^{6} +(0.505023 + 0.100455i) q^{7} +(-2.19067 + 1.78912i) q^{8} +(2.18417 + 2.05655i) q^{9} +O(q^{10})\) \(q+(-1.37752 + 0.320040i) q^{2} +(-1.61000 - 0.638681i) q^{3} +(1.79515 - 0.881727i) q^{4} +(-0.665070 - 0.355487i) q^{5} +(2.42221 + 0.364535i) q^{6} +(0.505023 + 0.100455i) q^{7} +(-2.19067 + 1.78912i) q^{8} +(2.18417 + 2.05655i) q^{9} +(1.02992 + 0.276843i) q^{10} +(4.34903 - 3.56916i) q^{11} +(-3.45332 + 0.273049i) q^{12} +(-5.75137 + 3.07417i) q^{13} +(-0.727832 + 0.0232480i) q^{14} +(0.843717 + 0.997100i) q^{15} +(2.44512 - 3.16566i) q^{16} +(3.41772 - 1.41567i) q^{17} +(-3.66693 - 2.13392i) q^{18} +(-0.0735879 + 0.242587i) q^{19} +(-1.50734 - 0.0517426i) q^{20} +(-0.748927 - 0.484282i) q^{21} +(-4.84863 + 6.30847i) q^{22} +(-2.84698 - 1.90229i) q^{23} +(4.66965 - 1.48133i) q^{24} +(-2.46190 - 3.68450i) q^{25} +(6.93879 - 6.07542i) q^{26} +(-2.20303 - 4.70602i) q^{27} +(0.995166 - 0.264960i) q^{28} +(-7.03105 - 5.77023i) q^{29} +(-1.48135 - 1.10351i) q^{30} +(6.56862 - 6.56862i) q^{31} +(-2.35507 + 5.14331i) q^{32} +(-9.28148 + 2.96869i) q^{33} +(-4.25492 + 3.04392i) q^{34} +(-0.300165 - 0.246339i) q^{35} +(5.73423 + 1.76596i) q^{36} +(-0.907311 - 2.99100i) q^{37} +(0.0237316 - 0.357721i) q^{38} +(11.2231 - 1.27611i) q^{39} +(2.09296 - 0.411133i) q^{40} +(3.08027 + 2.05817i) q^{41} +(1.18665 + 0.427423i) q^{42} +(0.601451 - 6.10664i) q^{43} +(4.66014 - 10.2418i) q^{44} +(-0.721552 - 2.14419i) q^{45} +(4.53060 + 1.70931i) q^{46} +(5.19189 - 2.15055i) q^{47} +(-5.95847 + 3.53505i) q^{48} +(-6.22220 - 2.57732i) q^{49} +(4.57052 + 4.28758i) q^{50} +(-6.40667 + 0.0963841i) q^{51} +(-7.61398 + 10.5897i) q^{52} +(1.79759 - 1.47525i) q^{53} +(4.54085 + 5.77760i) q^{54} +(-4.16120 + 0.827715i) q^{55} +(-1.28607 + 0.683482i) q^{56} +(0.273412 - 0.343565i) q^{57} +(11.5321 + 5.69842i) q^{58} +(-8.76275 - 4.68379i) q^{59} +(2.39377 + 1.04602i) q^{60} +(0.142393 + 1.44574i) q^{61} +(-6.94622 + 11.1507i) q^{62} +(0.896467 + 1.25802i) q^{63} +(1.59810 - 7.83875i) q^{64} +4.91789 q^{65} +(11.8354 - 7.05989i) q^{66} +(8.25927 - 0.813467i) q^{67} +(4.88708 - 5.55483i) q^{68} +(3.36867 + 4.88100i) q^{69} +(0.492323 + 0.243273i) q^{70} +(-12.9568 - 2.57728i) q^{71} +(-8.46422 - 0.597475i) q^{72} +(1.72029 + 8.64846i) q^{73} +(2.20708 + 3.82980i) q^{74} +(1.61044 + 7.50440i) q^{75} +(0.0817941 + 0.500364i) q^{76} +(2.55491 - 1.36563i) q^{77} +(-15.0517 + 5.34972i) q^{78} +(-3.83527 + 9.25916i) q^{79} +(-2.75153 + 1.23618i) q^{80} +(0.541228 + 8.98371i) q^{81} +(-4.90184 - 1.84937i) q^{82} +(0.736163 - 2.42680i) q^{83} +(-1.77144 - 0.209009i) q^{84} +(-2.77627 - 0.273439i) q^{85} +(1.12586 + 8.60453i) q^{86} +(7.63462 + 13.7806i) q^{87} +(-3.14166 + 15.5998i) q^{88} +(8.77885 + 13.1385i) q^{89} +(1.68018 + 2.72275i) q^{90} +(-3.21339 + 0.974772i) q^{91} +(-6.78806 - 0.904638i) q^{92} +(-14.7707 + 6.38020i) q^{93} +(-6.46369 + 4.62405i) q^{94} +(0.135178 - 0.135178i) q^{95} +(7.07659 - 6.77657i) q^{96} +(-3.73879 - 3.73879i) q^{97} +(9.39608 + 1.55897i) q^{98} +(16.8392 + 1.14833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37752 + 0.320040i −0.974057 + 0.226303i
\(3\) −1.61000 0.638681i −0.929532 0.368743i
\(4\) 1.79515 0.881727i 0.897574 0.440863i
\(5\) −0.665070 0.355487i −0.297428 0.158979i 0.315932 0.948782i \(-0.397683\pi\)
−0.613361 + 0.789803i \(0.710183\pi\)
\(6\) 2.42221 + 0.364535i 0.988864 + 0.148821i
\(7\) 0.505023 + 0.100455i 0.190881 + 0.0379686i 0.289605 0.957146i \(-0.406476\pi\)
−0.0987240 + 0.995115i \(0.531476\pi\)
\(8\) −2.19067 + 1.78912i −0.774520 + 0.632549i
\(9\) 2.18417 + 2.05655i 0.728058 + 0.685516i
\(10\) 1.02992 + 0.276843i 0.325689 + 0.0875456i
\(11\) 4.34903 3.56916i 1.31128 1.07614i 0.319585 0.947558i \(-0.396457\pi\)
0.991699 0.128585i \(-0.0410434\pi\)
\(12\) −3.45332 + 0.273049i −0.996889 + 0.0788225i
\(13\) −5.75137 + 3.07417i −1.59514 + 0.852622i −0.596390 + 0.802695i \(0.703399\pi\)
−0.998753 + 0.0499268i \(0.984101\pi\)
\(14\) −0.727832 + 0.0232480i −0.194521 + 0.00621329i
\(15\) 0.843717 + 0.997100i 0.217847 + 0.257450i
\(16\) 2.44512 3.16566i 0.611279 0.791415i
\(17\) 3.41772 1.41567i 0.828919 0.343349i 0.0724443 0.997372i \(-0.476920\pi\)
0.756475 + 0.654023i \(0.226920\pi\)
\(18\) −3.66693 2.13392i −0.864304 0.502970i
\(19\) −0.0735879 + 0.242587i −0.0168822 + 0.0556532i −0.964977 0.262335i \(-0.915507\pi\)
0.948095 + 0.317989i \(0.103007\pi\)
\(20\) −1.50734 0.0517426i −0.337052 0.0115700i
\(21\) −0.748927 0.484282i −0.163429 0.105679i
\(22\) −4.84863 + 6.30847i −1.03373 + 1.34497i
\(23\) −2.84698 1.90229i −0.593637 0.396656i 0.222146 0.975013i \(-0.428694\pi\)
−0.815783 + 0.578358i \(0.803694\pi\)
\(24\) 4.66965 1.48133i 0.953189 0.302376i
\(25\) −2.46190 3.68450i −0.492381 0.736900i
\(26\) 6.93879 6.07542i 1.36081 1.19149i
\(27\) −2.20303 4.70602i −0.423974 0.905674i
\(28\) 0.995166 0.264960i 0.188069 0.0500728i
\(29\) −7.03105 5.77023i −1.30563 1.07151i −0.992558 0.121777i \(-0.961141\pi\)
−0.313075 0.949728i \(-0.601359\pi\)
\(30\) −1.48135 1.10351i −0.270457 0.201472i
\(31\) 6.56862 6.56862i 1.17976 1.17976i 0.199955 0.979805i \(-0.435921\pi\)
0.979805 0.199955i \(-0.0640795\pi\)
\(32\) −2.35507 + 5.14331i −0.416321 + 0.909218i
\(33\) −9.28148 + 2.96869i −1.61570 + 0.516782i
\(34\) −4.25492 + 3.04392i −0.729713 + 0.522028i
\(35\) −0.300165 0.246339i −0.0507372 0.0416389i
\(36\) 5.73423 + 1.76596i 0.955705 + 0.294327i
\(37\) −0.907311 2.99100i −0.149161 0.491718i 0.850237 0.526399i \(-0.176458\pi\)
−0.999398 + 0.0346815i \(0.988958\pi\)
\(38\) 0.0237316 0.357721i 0.00384978 0.0580299i
\(39\) 11.2231 1.27611i 1.79713 0.204342i
\(40\) 2.09296 0.411133i 0.330926 0.0650059i
\(41\) 3.08027 + 2.05817i 0.481057 + 0.321432i 0.772345 0.635203i \(-0.219084\pi\)
−0.291288 + 0.956635i \(0.594084\pi\)
\(42\) 1.18665 + 0.427423i 0.183105 + 0.0659528i
\(43\) 0.601451 6.10664i 0.0917205 0.931253i −0.833676 0.552254i \(-0.813768\pi\)
0.925397 0.379000i \(-0.123732\pi\)
\(44\) 4.66014 10.2418i 0.702542 1.54401i
\(45\) −0.721552 2.14419i −0.107563 0.319637i
\(46\) 4.53060 + 1.70931i 0.668001 + 0.252024i
\(47\) 5.19189 2.15055i 0.757314 0.313690i 0.0295923 0.999562i \(-0.490579\pi\)
0.727722 + 0.685872i \(0.240579\pi\)
\(48\) −5.95847 + 3.53505i −0.860032 + 0.510241i
\(49\) −6.22220 2.57732i −0.888886 0.368188i
\(50\) 4.57052 + 4.28758i 0.646369 + 0.606356i
\(51\) −6.40667 + 0.0963841i −0.897114 + 0.0134965i
\(52\) −7.61398 + 10.5897i −1.05587 + 1.46853i
\(53\) 1.79759 1.47525i 0.246918 0.202641i −0.502791 0.864408i \(-0.667693\pi\)
0.749709 + 0.661767i \(0.230193\pi\)
\(54\) 4.54085 + 5.77760i 0.617931 + 0.786232i
\(55\) −4.16120 + 0.827715i −0.561096 + 0.111609i
\(56\) −1.28607 + 0.683482i −0.171858 + 0.0913342i
\(57\) 0.273412 0.343565i 0.0362143 0.0455063i
\(58\) 11.5321 + 5.69842i 1.51425 + 0.748239i
\(59\) −8.76275 4.68379i −1.14081 0.609778i −0.210882 0.977511i \(-0.567634\pi\)
−0.929931 + 0.367734i \(0.880134\pi\)
\(60\) 2.39377 + 1.04602i 0.309034 + 0.135040i
\(61\) 0.142393 + 1.44574i 0.0182316 + 0.185108i 0.999987 0.00503811i \(-0.00160369\pi\)
−0.981756 + 0.190147i \(0.939104\pi\)
\(62\) −6.94622 + 11.1507i −0.882171 + 1.41614i
\(63\) 0.896467 + 1.25802i 0.112944 + 0.158495i
\(64\) 1.59810 7.83875i 0.199762 0.979844i
\(65\) 4.91789 0.609989
\(66\) 11.8354 7.05989i 1.45683 0.869012i
\(67\) 8.25927 0.813467i 1.00903 0.0993808i 0.420027 0.907512i \(-0.362021\pi\)
0.589003 + 0.808131i \(0.299521\pi\)
\(68\) 4.88708 5.55483i 0.592646 0.673622i
\(69\) 3.36867 + 4.88100i 0.405541 + 0.587603i
\(70\) 0.492323 + 0.243273i 0.0588439 + 0.0290767i
\(71\) −12.9568 2.57728i −1.53769 0.305866i −0.647720 0.761878i \(-0.724277\pi\)
−0.889974 + 0.456012i \(0.849277\pi\)
\(72\) −8.46422 0.597475i −0.997518 0.0704131i
\(73\) 1.72029 + 8.64846i 0.201344 + 1.01223i 0.940785 + 0.339004i \(0.110090\pi\)
−0.739441 + 0.673222i \(0.764910\pi\)
\(74\) 2.20708 + 3.82980i 0.256568 + 0.445206i
\(75\) 1.61044 + 7.50440i 0.185957 + 0.866534i
\(76\) 0.0817941 + 0.500364i 0.00938242 + 0.0573957i
\(77\) 2.55491 1.36563i 0.291159 0.155627i
\(78\) −15.0517 + 5.34972i −1.70427 + 0.605736i
\(79\) −3.83527 + 9.25916i −0.431501 + 1.04174i 0.547302 + 0.836935i \(0.315655\pi\)
−0.978804 + 0.204802i \(0.934345\pi\)
\(80\) −2.75153 + 1.23618i −0.307630 + 0.138209i
\(81\) 0.541228 + 8.98371i 0.0601365 + 0.998190i
\(82\) −4.90184 1.84937i −0.541318 0.204229i
\(83\) 0.736163 2.42680i 0.0808044 0.266376i −0.907224 0.420647i \(-0.861803\pi\)
0.988029 + 0.154271i \(0.0493029\pi\)
\(84\) −1.77144 0.209009i −0.193280 0.0228047i
\(85\) −2.77627 0.273439i −0.301129 0.0296586i
\(86\) 1.12586 + 8.60453i 0.121404 + 0.927851i
\(87\) 7.63462 + 13.7806i 0.818517 + 1.47744i
\(88\) −3.14166 + 15.5998i −0.334902 + 1.66295i
\(89\) 8.77885 + 13.1385i 0.930556 + 1.39268i 0.919652 + 0.392735i \(0.128471\pi\)
0.0109048 + 0.999941i \(0.496529\pi\)
\(90\) 1.68018 + 2.72275i 0.177107 + 0.287003i
\(91\) −3.21339 + 0.974772i −0.336855 + 0.102184i
\(92\) −6.78806 0.904638i −0.707704 0.0943151i
\(93\) −14.7707 + 6.38020i −1.53165 + 0.661596i
\(94\) −6.46369 + 4.62405i −0.666679 + 0.476934i
\(95\) 0.135178 0.135178i 0.0138689 0.0138689i
\(96\) 7.07659 6.77657i 0.722251 0.691631i
\(97\) −3.73879 3.73879i −0.379616 0.379616i 0.491347 0.870964i \(-0.336505\pi\)
−0.870964 + 0.491347i \(0.836505\pi\)
\(98\) 9.39608 + 1.55897i 0.949147 + 0.157479i
\(99\) 16.8392 + 1.14833i 1.69240 + 0.115411i
\(100\) −7.66821 4.44350i −0.766821 0.444350i
\(101\) −0.256080 0.844182i −0.0254809 0.0839993i 0.943278 0.332005i \(-0.107725\pi\)
−0.968759 + 0.248005i \(0.920225\pi\)
\(102\) 8.79451 2.18316i 0.870786 0.216166i
\(103\) 7.78906 5.20448i 0.767478 0.512813i −0.109124 0.994028i \(-0.534805\pi\)
0.876602 + 0.481215i \(0.159805\pi\)
\(104\) 7.09931 17.0244i 0.696145 1.66938i
\(105\) 0.325933 + 0.588315i 0.0318078 + 0.0574137i
\(106\) −2.00409 + 2.60749i −0.194654 + 0.253262i
\(107\) 0.630984 6.40649i 0.0609996 0.619339i −0.915279 0.402821i \(-0.868030\pi\)
0.976279 0.216518i \(-0.0694701\pi\)
\(108\) −8.10420 6.50554i −0.779827 0.625995i
\(109\) 2.28920 + 0.694421i 0.219266 + 0.0665135i 0.398006 0.917383i \(-0.369702\pi\)
−0.178741 + 0.983896i \(0.557202\pi\)
\(110\) 5.46726 2.47195i 0.521283 0.235691i
\(111\) −0.449530 + 5.39499i −0.0426675 + 0.512069i
\(112\) 1.55285 1.35311i 0.146730 0.127857i
\(113\) 9.47044 + 3.92279i 0.890904 + 0.369025i 0.780716 0.624886i \(-0.214855\pi\)
0.110188 + 0.993911i \(0.464855\pi\)
\(114\) −0.266677 + 0.560772i −0.0249766 + 0.0525211i
\(115\) 1.21720 + 2.27722i 0.113505 + 0.212352i
\(116\) −17.7095 4.15896i −1.64429 0.386150i
\(117\) −18.8842 5.11344i −1.74584 0.472738i
\(118\) 13.5699 + 3.64760i 1.24921 + 0.335789i
\(119\) 1.86824 0.371616i 0.171261 0.0340660i
\(120\) −3.63224 0.674811i −0.331577 0.0616015i
\(121\) 4.02920 20.2562i 0.366291 1.84147i
\(122\) −0.658846 1.94598i −0.0596491 0.176180i
\(123\) −3.64471 5.28095i −0.328632 0.476168i
\(124\) 5.99993 17.5834i 0.538809 1.57903i
\(125\) 0.697126 + 7.07804i 0.0623529 + 0.633079i
\(126\) −1.63752 1.44604i −0.145882 0.128824i
\(127\) 1.73107i 0.153608i 0.997046 + 0.0768038i \(0.0244715\pi\)
−0.997046 + 0.0768038i \(0.975529\pi\)
\(128\) 0.307295 + 11.3095i 0.0271613 + 0.999631i
\(129\) −4.86853 + 9.44753i −0.428650 + 0.831808i
\(130\) −6.77452 + 1.57392i −0.594164 + 0.138042i
\(131\) 9.72584 0.957912i 0.849751 0.0836932i 0.336240 0.941776i \(-0.390845\pi\)
0.513511 + 0.858083i \(0.328345\pi\)
\(132\) −14.0441 + 13.5130i −1.22238 + 1.17615i
\(133\) −0.0615328 + 0.115120i −0.00533557 + 0.00998215i
\(134\) −11.1170 + 3.76387i −0.960363 + 0.325149i
\(135\) −0.207760 + 3.91298i −0.0178811 + 0.336776i
\(136\) −4.95431 + 9.21597i −0.424829 + 0.790263i
\(137\) −3.15687 15.8707i −0.269710 1.35592i −0.843592 0.536984i \(-0.819563\pi\)
0.573883 0.818938i \(-0.305437\pi\)
\(138\) −6.20255 5.64558i −0.527996 0.480584i
\(139\) −2.37275 2.89121i −0.201254 0.245229i 0.662597 0.748976i \(-0.269454\pi\)
−0.863851 + 0.503747i \(0.831954\pi\)
\(140\) −0.756045 0.177552i −0.0638975 0.0150059i
\(141\) −9.73243 + 0.146418i −0.819618 + 0.0123306i
\(142\) 18.6732 0.596449i 1.56702 0.0500529i
\(143\) −14.0407 + 33.8972i −1.17414 + 2.83463i
\(144\) 11.8509 1.88585i 0.987574 0.157155i
\(145\) 2.62489 + 6.33705i 0.217986 + 0.526264i
\(146\) −5.13759 11.3629i −0.425190 0.940401i
\(147\) 8.37163 + 8.12347i 0.690480 + 0.670013i
\(148\) −4.26601 4.56930i −0.350663 0.375594i
\(149\) 10.8936 + 1.07292i 0.892435 + 0.0878971i 0.533829 0.845592i \(-0.320752\pi\)
0.358605 + 0.933489i \(0.383252\pi\)
\(150\) −4.62013 9.82209i −0.377232 0.801971i
\(151\) 9.46892 14.1712i 0.770570 1.15324i −0.213757 0.976887i \(-0.568570\pi\)
0.984327 0.176353i \(-0.0564299\pi\)
\(152\) −0.272810 0.663086i −0.0221278 0.0537834i
\(153\) 10.3763 + 3.93664i 0.838872 + 0.318259i
\(154\) −3.08239 + 2.69886i −0.248386 + 0.217480i
\(155\) −6.70366 + 2.03353i −0.538451 + 0.163337i
\(156\) 19.0219 12.1865i 1.52297 0.975702i
\(157\) −3.29873 + 4.01951i −0.263267 + 0.320792i −0.887820 0.460190i \(-0.847781\pi\)
0.624553 + 0.780982i \(0.285281\pi\)
\(158\) 2.31987 13.9822i 0.184559 1.11236i
\(159\) −3.83633 + 1.22705i −0.304241 + 0.0973116i
\(160\) 3.39467 2.58346i 0.268372 0.204241i
\(161\) −1.24670 1.24670i −0.0982535 0.0982535i
\(162\) −3.62070 12.2021i −0.284469 0.958685i
\(163\) −6.50450 + 7.92576i −0.509472 + 0.620793i −0.962690 0.270606i \(-0.912776\pi\)
0.453218 + 0.891400i \(0.350276\pi\)
\(164\) 7.34428 + 0.978766i 0.573492 + 0.0764287i
\(165\) 7.22817 + 1.32506i 0.562712 + 0.103156i
\(166\) −0.237408 + 3.57858i −0.0184264 + 0.277752i
\(167\) −6.56521 + 4.38673i −0.508031 + 0.339456i −0.783025 0.621990i \(-0.786324\pi\)
0.274994 + 0.961446i \(0.411324\pi\)
\(168\) 2.50709 0.279017i 0.193426 0.0215266i
\(169\) 16.4053 24.5523i 1.26195 1.88864i
\(170\) 3.91190 0.511850i 0.300029 0.0392571i
\(171\) −0.659620 + 0.378515i −0.0504424 + 0.0289458i
\(172\) −4.30469 11.4926i −0.328230 0.876305i
\(173\) −3.16462 0.959978i −0.240602 0.0729858i 0.167681 0.985841i \(-0.446372\pi\)
−0.408283 + 0.912856i \(0.633872\pi\)
\(174\) −14.9272 16.5398i −1.13163 1.25388i
\(175\) −0.873191 2.10807i −0.0660071 0.159355i
\(176\) −0.664855 22.4946i −0.0501153 1.69559i
\(177\) 11.1166 + 13.1375i 0.835571 + 0.987474i
\(178\) −16.2979 15.2890i −1.22158 1.14596i
\(179\) 1.39379 + 2.60759i 0.104177 + 0.194901i 0.928609 0.371060i \(-0.121005\pi\)
−0.824432 + 0.565960i \(0.808505\pi\)
\(180\) −3.18588 3.21293i −0.237462 0.239478i
\(181\) 7.37266 + 8.98361i 0.548005 + 0.667746i 0.971193 0.238296i \(-0.0765888\pi\)
−0.423187 + 0.906042i \(0.639089\pi\)
\(182\) 4.11456 2.37119i 0.304992 0.175764i
\(183\) 0.694116 2.41858i 0.0513105 0.178787i
\(184\) 9.64024 0.926291i 0.710688 0.0682871i
\(185\) −0.459838 + 2.31176i −0.0338080 + 0.169964i
\(186\) 18.3051 13.5161i 1.34220 0.991049i
\(187\) 9.81104 18.3552i 0.717455 1.34226i
\(188\) 7.42401 8.43838i 0.541452 0.615432i
\(189\) −0.639838 2.59796i −0.0465414 0.188974i
\(190\) −0.142948 + 0.229473i −0.0103706 + 0.0166477i
\(191\) 7.68393i 0.555990i −0.960583 0.277995i \(-0.910330\pi\)
0.960583 0.277995i \(-0.0896698\pi\)
\(192\) −7.57940 + 11.5997i −0.546996 + 0.837135i
\(193\) 14.7571i 1.06224i −0.847297 0.531119i \(-0.821772\pi\)
0.847297 0.531119i \(-0.178228\pi\)
\(194\) 6.34683 + 3.95371i 0.455676 + 0.283860i
\(195\) −7.91778 3.14096i −0.567004 0.224929i
\(196\) −13.4423 + 0.859608i −0.960162 + 0.0614006i
\(197\) 2.18056 4.07954i 0.155358 0.290655i −0.792186 0.610280i \(-0.791057\pi\)
0.947544 + 0.319625i \(0.103557\pi\)
\(198\) −23.5639 + 3.80737i −1.67461 + 0.270578i
\(199\) −2.95824 + 14.8721i −0.209704 + 1.05425i 0.722237 + 0.691645i \(0.243114\pi\)
−0.931942 + 0.362609i \(0.881886\pi\)
\(200\) 11.9852 + 3.66689i 0.847485 + 0.259289i
\(201\) −13.8169 3.96536i −0.974571 0.279695i
\(202\) 0.622929 + 1.08093i 0.0438291 + 0.0760537i
\(203\) −2.97119 3.62041i −0.208537 0.254103i
\(204\) −11.4159 + 5.82196i −0.799276 + 0.407619i
\(205\) −1.31694 2.46382i −0.0919791 0.172081i
\(206\) −9.06397 + 9.66211i −0.631517 + 0.673191i
\(207\) −2.30615 10.0099i −0.160288 0.695736i
\(208\) −4.33099 + 25.7236i −0.300300 + 1.78361i
\(209\) 0.545795 + 1.31767i 0.0377534 + 0.0911449i
\(210\) −0.637265 0.706107i −0.0439754 0.0487260i
\(211\) 9.52547 + 2.88952i 0.655760 + 0.198923i 0.600594 0.799554i \(-0.294931\pi\)
0.0551667 + 0.998477i \(0.482431\pi\)
\(212\) 1.92618 4.23327i 0.132291 0.290742i
\(213\) 19.2144 + 12.4247i 1.31655 + 0.851326i
\(214\) 1.18114 + 9.02704i 0.0807410 + 0.617076i
\(215\) −2.57084 + 3.84753i −0.175330 + 0.262400i
\(216\) 13.2458 + 6.36787i 0.901260 + 0.433278i
\(217\) 3.97716 2.65746i 0.269987 0.180400i
\(218\) −3.37567 0.223946i −0.228629 0.0151676i
\(219\) 2.75395 15.0227i 0.186095 1.01514i
\(220\) −6.74016 + 5.15491i −0.454421 + 0.347544i
\(221\) −15.3046 + 18.6487i −1.02950 + 1.25445i
\(222\) −1.10737 7.57559i −0.0743221 0.508441i
\(223\) −10.7742 10.7742i −0.721496 0.721496i 0.247414 0.968910i \(-0.420419\pi\)
−0.968910 + 0.247414i \(0.920419\pi\)
\(224\) −1.70604 + 2.36091i −0.113989 + 0.157745i
\(225\) 2.20012 13.1106i 0.146675 0.874041i
\(226\) −14.3012 2.37281i −0.951303 0.157837i
\(227\) −8.86303 + 10.7996i −0.588260 + 0.716797i −0.979036 0.203689i \(-0.934707\pi\)
0.390776 + 0.920486i \(0.372207\pi\)
\(228\) 0.187885 0.857824i 0.0124430 0.0568108i
\(229\) 1.43405 0.435014i 0.0947647 0.0287466i −0.242546 0.970140i \(-0.577983\pi\)
0.337311 + 0.941393i \(0.390483\pi\)
\(230\) −2.40553 2.74738i −0.158616 0.181157i
\(231\) −4.98559 + 0.566882i −0.328028 + 0.0372981i
\(232\) 25.7264 + 0.0613056i 1.68902 + 0.00402491i
\(233\) −0.631525 + 0.945144i −0.0413726 + 0.0619184i −0.851579 0.524226i \(-0.824355\pi\)
0.810207 + 0.586144i \(0.199355\pi\)
\(234\) 27.6499 + 1.00020i 1.80753 + 0.0653848i
\(235\) −4.21746 0.415384i −0.275117 0.0270966i
\(236\) −19.8603 0.681744i −1.29279 0.0443778i
\(237\) 12.0884 12.4577i 0.785227 0.809214i
\(238\) −2.45461 + 1.10982i −0.159109 + 0.0719391i
\(239\) 7.19284 + 17.3651i 0.465266 + 1.12325i 0.966206 + 0.257770i \(0.0829877\pi\)
−0.500940 + 0.865482i \(0.667012\pi\)
\(240\) 5.21947 0.232895i 0.336915 0.0150333i
\(241\) −10.4473 + 25.2221i −0.672973 + 1.62470i 0.103560 + 0.994623i \(0.466977\pi\)
−0.776533 + 0.630077i \(0.783023\pi\)
\(242\) 0.932463 + 29.1929i 0.0599410 + 1.87659i
\(243\) 4.86635 14.8094i 0.312176 0.950024i
\(244\) 1.53037 + 2.46977i 0.0979717 + 0.158111i
\(245\) 3.22199 + 3.92601i 0.205846 + 0.250824i
\(246\) 6.71079 + 6.10819i 0.427864 + 0.389444i
\(247\) −0.322522 1.62143i −0.0205216 0.103169i
\(248\) −2.63765 + 26.1418i −0.167491 + 1.66000i
\(249\) −2.73517 + 3.43697i −0.173334 + 0.217809i
\(250\) −3.22557 9.52707i −0.204003 0.602545i
\(251\) −1.69481 + 3.17076i −0.106975 + 0.200137i −0.929713 0.368284i \(-0.879945\pi\)
0.822738 + 0.568421i \(0.192445\pi\)
\(252\) 2.71852 + 1.46789i 0.171251 + 0.0924682i
\(253\) −19.1712 + 1.88820i −1.20528 + 0.118710i
\(254\) −0.554012 2.38459i −0.0347618 0.149622i
\(255\) 4.29515 + 2.21339i 0.268973 + 0.138608i
\(256\) −4.04281 15.4808i −0.252676 0.967551i
\(257\) 6.07272i 0.378806i −0.981899 0.189403i \(-0.939345\pi\)
0.981899 0.189403i \(-0.0606552\pi\)
\(258\) 3.68293 14.5723i 0.229289 0.907233i
\(259\) −0.157751 1.60167i −0.00980216 0.0995230i
\(260\) 8.82834 4.33624i 0.547511 0.268922i
\(261\) −3.49027 27.0629i −0.216043 1.67515i
\(262\) −13.0910 + 4.43221i −0.808766 + 0.273823i
\(263\) 2.09204 10.5174i 0.129001 0.648531i −0.861130 0.508385i \(-0.830243\pi\)
0.990131 0.140146i \(-0.0447572\pi\)
\(264\) 15.0214 23.1091i 0.924501 1.42227i
\(265\) −1.71996 + 0.342121i −0.105656 + 0.0210163i
\(266\) 0.0479200 0.178273i 0.00293816 0.0109306i
\(267\) −5.74262 26.7598i −0.351443 1.63767i
\(268\) 14.1094 8.74271i 0.861866 0.534046i
\(269\) 1.98800 + 3.71928i 0.121210 + 0.226768i 0.935207 0.354100i \(-0.115213\pi\)
−0.813997 + 0.580869i \(0.802713\pi\)
\(270\) −0.966118 5.45672i −0.0587961 0.332086i
\(271\) 0.0700926 + 0.0290333i 0.00425782 + 0.00176365i 0.384811 0.922995i \(-0.374267\pi\)
−0.380554 + 0.924759i \(0.624267\pi\)
\(272\) 3.87521 14.2808i 0.234969 0.865901i
\(273\) 5.79612 + 0.482954i 0.350797 + 0.0292297i
\(274\) 9.42792 + 20.8519i 0.569561 + 1.25971i
\(275\) −23.8575 7.23709i −1.43866 0.436413i
\(276\) 10.3510 + 5.79187i 0.623055 + 0.348630i
\(277\) −1.25382 + 12.7303i −0.0753348 + 0.764887i 0.881098 + 0.472934i \(0.156805\pi\)
−0.956433 + 0.291953i \(0.905695\pi\)
\(278\) 4.19383 + 3.22333i 0.251529 + 0.193323i
\(279\) 27.8557 0.838330i 1.66768 0.0501895i
\(280\) 1.09829 + 0.00261722i 0.0656356 + 0.000156409i
\(281\) −18.1979 + 12.1594i −1.08559 + 0.725371i −0.963650 0.267166i \(-0.913913\pi\)
−0.121943 + 0.992537i \(0.538913\pi\)
\(282\) 13.3598 3.31646i 0.795565 0.197493i
\(283\) 5.45368 + 17.9784i 0.324187 + 1.06870i 0.955947 + 0.293538i \(0.0948328\pi\)
−0.631760 + 0.775164i \(0.717667\pi\)
\(284\) −25.5319 + 6.79780i −1.51504 + 0.403375i
\(285\) −0.303971 + 0.131300i −0.0180057 + 0.00777755i
\(286\) 8.49292 51.1879i 0.502197 3.02680i
\(287\) 1.34885 + 1.34885i 0.0796203 + 0.0796203i
\(288\) −15.7213 + 6.39057i −0.926389 + 0.376568i
\(289\) −2.34411 + 2.34411i −0.137889 + 0.137889i
\(290\) −5.64397 7.88938i −0.331425 0.463280i
\(291\) 3.63154 + 8.40732i 0.212885 + 0.492846i
\(292\) 10.7138 + 14.0085i 0.626975 + 0.819783i
\(293\) 1.90343 0.577398i 0.111199 0.0337320i −0.234195 0.972190i \(-0.575245\pi\)
0.345394 + 0.938458i \(0.387745\pi\)
\(294\) −14.1320 8.51103i −0.824193 0.496373i
\(295\) 4.16282 + 6.23010i 0.242369 + 0.362730i
\(296\) 7.33889 + 4.92902i 0.426564 + 0.286494i
\(297\) −26.3776 12.6037i −1.53058 0.731339i
\(298\) −15.3495 + 2.00840i −0.889173 + 0.116343i
\(299\) 22.2220 + 2.18868i 1.28513 + 0.126575i
\(300\) 9.50780 + 12.0516i 0.548933 + 0.695797i
\(301\) 0.917192 3.02358i 0.0528660 0.174276i
\(302\) −8.50831 + 22.5517i −0.489598 + 1.29770i
\(303\) −0.126875 + 1.52268i −0.00728881 + 0.0874759i
\(304\) 0.588017 + 0.826108i 0.0337251 + 0.0473805i
\(305\) 0.419242 1.01214i 0.0240057 0.0579549i
\(306\) −15.5535 2.10200i −0.889132 0.120163i
\(307\) −6.93078 + 3.70458i −0.395561 + 0.211432i −0.657170 0.753742i \(-0.728247\pi\)
0.261610 + 0.965174i \(0.415747\pi\)
\(308\) 3.38233 4.70423i 0.192726 0.268048i
\(309\) −15.8643 + 3.40447i −0.902491 + 0.193674i
\(310\) 8.58364 4.94668i 0.487518 0.280953i
\(311\) 2.52114 + 12.6746i 0.142961 + 0.718711i 0.984061 + 0.177832i \(0.0569084\pi\)
−0.841100 + 0.540879i \(0.818092\pi\)
\(312\) −22.3030 + 22.8750i −1.26266 + 1.29504i
\(313\) 15.6624 + 3.11545i 0.885292 + 0.176096i 0.616737 0.787169i \(-0.288454\pi\)
0.268555 + 0.963264i \(0.413454\pi\)
\(314\) 3.25768 6.59271i 0.183841 0.372048i
\(315\) −0.149005 1.15535i −0.00839546 0.0650967i
\(316\) 1.27917 + 20.0032i 0.0719589 + 1.12527i
\(317\) −4.33393 + 0.426855i −0.243418 + 0.0239746i −0.218990 0.975727i \(-0.570276\pi\)
−0.0244276 + 0.999702i \(0.507776\pi\)
\(318\) 4.89193 2.91807i 0.274326 0.163638i
\(319\) −51.1732 −2.86515
\(320\) −3.84943 + 4.64522i −0.215189 + 0.259675i
\(321\) −5.10759 + 9.91143i −0.285078 + 0.553202i
\(322\) 2.11635 + 1.31836i 0.117940 + 0.0734695i
\(323\) 0.0919191 + 0.933270i 0.00511451 + 0.0519285i
\(324\) 8.89276 + 15.6499i 0.494042 + 0.869438i
\(325\) 25.4861 + 13.6226i 1.41371 + 0.755646i
\(326\) 6.42355 12.9996i 0.355767 0.719983i
\(327\) −3.24209 2.58008i −0.179288 0.142679i
\(328\) −10.4302 + 1.00219i −0.575910 + 0.0553368i
\(329\) 2.83806 0.564525i 0.156467 0.0311233i
\(330\) −10.3810 + 0.487996i −0.571458 + 0.0268633i
\(331\) 13.3020 10.9167i 0.731145 0.600035i −0.193394 0.981121i \(-0.561950\pi\)
0.924540 + 0.381086i \(0.124450\pi\)
\(332\) −0.818256 5.00557i −0.0449076 0.274716i
\(333\) 4.16941 8.39880i 0.228483 0.460251i
\(334\) 7.63981 8.14397i 0.418032 0.445618i
\(335\) −5.78217 2.39505i −0.315913 0.130856i
\(336\) −3.36428 + 1.18672i −0.183537 + 0.0647410i
\(337\) 31.4174 13.0135i 1.71142 0.708891i 0.711434 0.702753i \(-0.248046\pi\)
0.999981 0.00613843i \(-0.00195394\pi\)
\(338\) −14.7410 + 39.0717i −0.801805 + 2.12522i
\(339\) −12.7420 12.3643i −0.692049 0.671534i
\(340\) −5.22492 + 1.95705i −0.283361 + 0.106136i
\(341\) 5.12270 52.0116i 0.277410 2.81659i
\(342\) 0.787503 0.732518i 0.0425833 0.0396101i
\(343\) −5.88042 3.92917i −0.317513 0.212155i
\(344\) 9.60792 + 14.4537i 0.518025 + 0.779292i
\(345\) −0.505270 4.44373i −0.0272028 0.239242i
\(346\) 4.66658 + 0.309587i 0.250877 + 0.0166435i
\(347\) 1.83835 + 6.06023i 0.0986878 + 0.325330i 0.992358 0.123395i \(-0.0393782\pi\)
−0.893670 + 0.448725i \(0.851878\pi\)
\(348\) 25.8560 + 18.0067i 1.38603 + 0.965258i
\(349\) 4.51097 + 3.70206i 0.241467 + 0.198167i 0.747341 0.664440i \(-0.231330\pi\)
−0.505874 + 0.862607i \(0.668830\pi\)
\(350\) 1.87751 + 2.62446i 0.100357 + 0.140283i
\(351\) 27.1376 + 20.2936i 1.44850 + 1.08319i
\(352\) 8.11502 + 30.7741i 0.432532 + 1.64026i
\(353\) 17.3182 17.3182i 0.921755 0.921755i −0.0753985 0.997153i \(-0.524023\pi\)
0.997153 + 0.0753985i \(0.0240229\pi\)
\(354\) −19.5178 14.5395i −1.03736 0.772764i
\(355\) 7.70101 + 6.32006i 0.408727 + 0.335434i
\(356\) 27.3439 + 15.8450i 1.44922 + 0.839782i
\(357\) −3.24520 0.594909i −0.171754 0.0314859i
\(358\) −2.75451 3.14596i −0.145581 0.166269i
\(359\) −7.85022 11.7487i −0.414319 0.620072i 0.564345 0.825539i \(-0.309129\pi\)
−0.978664 + 0.205467i \(0.934129\pi\)
\(360\) 5.41690 + 3.40628i 0.285496 + 0.179527i
\(361\) 15.7445 + 10.5201i 0.828657 + 0.553691i
\(362\) −13.0311 10.0156i −0.684901 0.526408i
\(363\) −19.4242 + 30.0390i −1.01951 + 1.57664i
\(364\) −4.90904 + 4.58320i −0.257303 + 0.240225i
\(365\) 1.93031 6.36337i 0.101037 0.333074i
\(366\) −0.182117 + 3.55380i −0.00951943 + 0.185760i
\(367\) −28.0189 + 11.6058i −1.46257 + 0.605818i −0.965152 0.261690i \(-0.915720\pi\)
−0.497423 + 0.867508i \(0.665720\pi\)
\(368\) −12.9832 + 4.36125i −0.676797 + 0.227346i
\(369\) 2.49512 + 10.8301i 0.129891 + 0.563793i
\(370\) −0.106419 3.33168i −0.00553244 0.173206i
\(371\) 1.05602 0.564456i 0.0548260 0.0293051i
\(372\) −20.8900 + 24.4771i −1.08310 + 1.26908i
\(373\) −25.2092 + 20.6886i −1.30528 + 1.07122i −0.312671 + 0.949861i \(0.601224\pi\)
−0.992609 + 0.121355i \(0.961276\pi\)
\(374\) −7.64056 + 28.4246i −0.395084 + 1.46980i
\(375\) 3.39824 11.8409i 0.175484 0.611459i
\(376\) −7.52614 + 14.0001i −0.388131 + 0.721998i
\(377\) 58.1768 + 11.5721i 2.99626 + 0.595993i
\(378\) 1.71284 + 3.37398i 0.0880992 + 0.173539i
\(379\) −17.0182 9.09640i −0.874165 0.467251i −0.0276509 0.999618i \(-0.508803\pi\)
−0.846514 + 0.532367i \(0.821303\pi\)
\(380\) 0.123474 0.361854i 0.00633409 0.0185627i
\(381\) 1.10560 2.78701i 0.0566416 0.142783i
\(382\) 2.45917 + 10.5848i 0.125822 + 0.541566i
\(383\) 0.307490 0.0157120 0.00785600 0.999969i \(-0.497499\pi\)
0.00785600 + 0.999969i \(0.497499\pi\)
\(384\) 6.72844 18.4046i 0.343359 0.939204i
\(385\) −2.18465 −0.111340
\(386\) 4.72286 + 20.3283i 0.240387 + 1.03468i
\(387\) 13.8723 12.1010i 0.705167 0.615131i
\(388\) −10.0083 3.41509i −0.508093 0.173375i
\(389\) 24.9836 + 13.3540i 1.26672 + 0.677075i 0.961394 0.275174i \(-0.0887354\pi\)
0.305323 + 0.952249i \(0.401235\pi\)
\(390\) 11.9122 + 1.79274i 0.603197 + 0.0907791i
\(391\) −12.4232 2.47113i −0.628268 0.124970i
\(392\) 18.2419 5.48620i 0.921357 0.277095i
\(393\) −16.2704 4.66948i −0.820731 0.235544i
\(394\) −1.69816 + 6.31753i −0.0855519 + 0.318273i
\(395\) 5.84223 4.79460i 0.293955 0.241242i
\(396\) 31.2414 12.7861i 1.56994 0.642528i
\(397\) −3.05924 + 1.63520i −0.153539 + 0.0820681i −0.546377 0.837540i \(-0.683993\pi\)
0.392838 + 0.919608i \(0.371493\pi\)
\(398\) −0.684614 21.4334i −0.0343166 1.07436i
\(399\) 0.172592 0.146043i 0.00864042 0.00731127i
\(400\) −17.6835 1.21548i −0.884176 0.0607739i
\(401\) −8.02918 + 3.32580i −0.400958 + 0.166082i −0.574044 0.818824i \(-0.694626\pi\)
0.173086 + 0.984907i \(0.444626\pi\)
\(402\) 20.3022 + 1.04040i 1.01258 + 0.0518906i
\(403\) −17.5855 + 57.9717i −0.875997 + 2.88777i
\(404\) −1.20404 1.28964i −0.0599032 0.0641620i
\(405\) 2.83364 6.16720i 0.140805 0.306450i
\(406\) 5.25157 + 4.03630i 0.260631 + 0.200318i
\(407\) −14.6213 9.76964i −0.724751 0.484263i
\(408\) 13.8625 11.6735i 0.686295 0.577922i
\(409\) −16.6035 24.8489i −0.820991 1.22870i −0.970778 0.239981i \(-0.922859\pi\)
0.149787 0.988718i \(-0.452141\pi\)
\(410\) 2.60264 + 2.97250i 0.128535 + 0.146801i
\(411\) −5.05374 + 27.5679i −0.249283 + 1.35983i
\(412\) 9.39358 16.2106i 0.462789 0.798641i
\(413\) −3.95488 3.24569i −0.194607 0.159710i
\(414\) 6.38035 + 13.0508i 0.313577 + 0.641413i
\(415\) −1.35230 + 1.35230i −0.0663817 + 0.0663817i
\(416\) −2.26654 36.8210i −0.111126 1.80530i
\(417\) 1.97356 + 6.17026i 0.0966458 + 0.302159i
\(418\) −1.17355 1.64044i −0.0574003 0.0802366i
\(419\) 15.4434 + 12.6740i 0.754457 + 0.619167i 0.930955 0.365134i \(-0.118977\pi\)
−0.176498 + 0.984301i \(0.556477\pi\)
\(420\) 1.10383 + 0.768729i 0.0538614 + 0.0375101i
\(421\) 11.3789 + 37.5111i 0.554573 + 1.82818i 0.560435 + 0.828199i \(0.310634\pi\)
−0.00586195 + 0.999983i \(0.501866\pi\)
\(422\) −14.0463 0.931851i −0.683765 0.0453618i
\(423\) 15.7627 + 5.98018i 0.766408 + 0.290767i
\(424\) −1.29855 + 6.44789i −0.0630630 + 0.313137i
\(425\) −13.6301 9.10736i −0.661158 0.441772i
\(426\) −30.4447 10.9659i −1.47505 0.531301i
\(427\) −0.0733208 + 0.744438i −0.00354824 + 0.0360259i
\(428\) −4.51606 12.0570i −0.218292 0.582795i
\(429\) 44.2550 45.6069i 2.13665 2.20192i
\(430\) 2.31003 6.12284i 0.111399 0.295270i
\(431\) −9.60589 + 3.97889i −0.462699 + 0.191656i −0.601841 0.798616i \(-0.705566\pi\)
0.139141 + 0.990273i \(0.455566\pi\)
\(432\) −20.2843 4.53272i −0.975931 0.218080i
\(433\) −18.1509 7.51835i −0.872276 0.361309i −0.0987798 0.995109i \(-0.531494\pi\)
−0.773496 + 0.633801i \(0.781494\pi\)
\(434\) −4.62815 + 4.93356i −0.222158 + 0.236819i
\(435\) −0.178713 11.8791i −0.00856864 0.569559i
\(436\) 4.72174 0.771859i 0.226131 0.0369654i
\(437\) 0.670975 0.550655i 0.0320971 0.0263414i
\(438\) 1.01423 + 21.5755i 0.0484618 + 1.03092i
\(439\) 0.810098 0.161139i 0.0386639 0.00769072i −0.175720 0.984440i \(-0.556225\pi\)
0.214384 + 0.976749i \(0.431225\pi\)
\(440\) 7.63496 9.25814i 0.363982 0.441365i
\(441\) −8.28998 18.4256i −0.394761 0.877408i
\(442\) 15.1141 30.5871i 0.718904 1.45488i
\(443\) −15.2807 8.16771i −0.726008 0.388060i 0.0666088 0.997779i \(-0.478782\pi\)
−0.792617 + 0.609720i \(0.791282\pi\)
\(444\) 3.94993 + 10.0812i 0.187455 + 0.478431i
\(445\) −1.16799 11.8588i −0.0553679 0.562160i
\(446\) 18.2900 + 11.3936i 0.866054 + 0.539502i
\(447\) −16.8533 8.68490i −0.797135 0.410782i
\(448\) 1.59452 3.79822i 0.0753341 0.179449i
\(449\) −24.3477 −1.14904 −0.574519 0.818491i \(-0.694811\pi\)
−0.574519 + 0.818491i \(0.694811\pi\)
\(450\) 1.16520 + 18.7643i 0.0549281 + 0.884558i
\(451\) 20.7421 2.04292i 0.976709 0.0961974i
\(452\) 20.4597 1.30836i 0.962342 0.0615400i
\(453\) −24.2958 + 16.7680i −1.14152 + 0.787831i
\(454\) 8.75272 17.7133i 0.410786 0.831326i
\(455\) 2.48365 + 0.494029i 0.116435 + 0.0231604i
\(456\) 0.0157223 + 1.24180i 0.000736266 + 0.0581528i
\(457\) 0.576845 + 2.90000i 0.0269837 + 0.135656i 0.991929 0.126795i \(-0.0404691\pi\)
−0.964945 + 0.262451i \(0.915469\pi\)
\(458\) −1.83622 + 1.05820i −0.0858008 + 0.0494463i
\(459\) −14.1915 12.9651i −0.662403 0.605159i
\(460\) 4.19295 + 3.01472i 0.195497 + 0.140562i
\(461\) 8.79632 4.70173i 0.409685 0.218981i −0.253662 0.967293i \(-0.581635\pi\)
0.663347 + 0.748312i \(0.269135\pi\)
\(462\) 6.68634 2.37648i 0.311077 0.110564i
\(463\) 4.94600 11.9407i 0.229860 0.554932i −0.766300 0.642483i \(-0.777904\pi\)
0.996160 + 0.0875515i \(0.0279042\pi\)
\(464\) −35.4583 + 8.14902i −1.64611 + 0.378309i
\(465\) 12.0916 + 1.00752i 0.560736 + 0.0467226i
\(466\) 0.567457 1.50407i 0.0262869 0.0696748i
\(467\) 6.83181 22.5215i 0.316138 1.04217i −0.644555 0.764558i \(-0.722957\pi\)
0.960694 0.277611i \(-0.0895426\pi\)
\(468\) −38.4085 + 7.47129i −1.77544 + 0.345360i
\(469\) 4.25284 + 0.418868i 0.196378 + 0.0193415i
\(470\) 5.94259 0.777556i 0.274111 0.0358660i
\(471\) 7.87813 4.36457i 0.363005 0.201109i
\(472\) 27.5762 5.41697i 1.26930 0.249336i
\(473\) −19.1798 28.7047i −0.881890 1.31984i
\(474\) −12.6651 + 21.0296i −0.581729 + 0.965920i
\(475\) 1.07498 0.326091i 0.0493234 0.0149621i
\(476\) 3.02610 2.31438i 0.138701 0.106080i
\(477\) 6.96017 + 0.474640i 0.318684 + 0.0217323i
\(478\) −15.4658 21.6188i −0.707391 0.988821i
\(479\) 20.5830 20.5830i 0.940462 0.940462i −0.0578625 0.998325i \(-0.518429\pi\)
0.998325 + 0.0578625i \(0.0184285\pi\)
\(480\) −7.11541 + 1.99126i −0.324773 + 0.0908881i
\(481\) 14.4131 + 14.4131i 0.657182 + 0.657182i
\(482\) 6.31938 38.0877i 0.287840 1.73485i
\(483\) 1.21094 + 2.80342i 0.0550995 + 0.127560i
\(484\) −10.6274 39.9155i −0.483063 1.81434i
\(485\) 1.15746 + 3.81565i 0.0525577 + 0.173260i
\(486\) −1.96391 + 21.9578i −0.0890847 + 0.996024i
\(487\) 28.2378 18.8679i 1.27958 0.854987i 0.284955 0.958541i \(-0.408021\pi\)
0.994624 + 0.103554i \(0.0330215\pi\)
\(488\) −2.89855 2.91239i −0.131211 0.131838i
\(489\) 15.5342 8.60613i 0.702483 0.389183i
\(490\) −5.69486 4.37701i −0.257267 0.197733i
\(491\) −1.47246 + 14.9501i −0.0664512 + 0.674690i 0.903039 + 0.429559i \(0.141331\pi\)
−0.969490 + 0.245131i \(0.921169\pi\)
\(492\) −11.1991 6.26646i −0.504897 0.282514i
\(493\) −32.1989 9.76742i −1.45016 0.439903i
\(494\) 0.963205 + 2.13034i 0.0433366 + 0.0958484i
\(495\) −10.7910 6.74984i −0.485020 0.303383i
\(496\) −4.73298 36.8551i −0.212517 1.65484i
\(497\) −6.28461 2.60317i −0.281903 0.116768i
\(498\) 2.66780 5.60988i 0.119547 0.251385i
\(499\) −10.9042 20.4003i −0.488139 0.913245i −0.998577 0.0533298i \(-0.983017\pi\)
0.510438 0.859915i \(-0.329483\pi\)
\(500\) 7.49234 + 12.0915i 0.335068 + 0.540747i
\(501\) 13.3717 2.86955i 0.597403 0.128202i
\(502\) 1.31987 4.91021i 0.0589086 0.219153i
\(503\) 12.3177 2.45014i 0.549218 0.109246i 0.0873215 0.996180i \(-0.472169\pi\)
0.461896 + 0.886934i \(0.347169\pi\)
\(504\) −4.21461 1.15202i −0.187734 0.0513148i
\(505\) −0.129785 + 0.652473i −0.00577536 + 0.0290347i
\(506\) 25.8045 8.73660i 1.14715 0.388389i
\(507\) −42.0936 + 29.0513i −1.86944 + 1.29021i
\(508\) 1.52633 + 3.10753i 0.0677199 + 0.137874i
\(509\) −1.00446 10.1985i −0.0445219 0.452039i −0.991440 0.130564i \(-0.958321\pi\)
0.946918 0.321475i \(-0.104179\pi\)
\(510\) −6.62505 1.67438i −0.293362 0.0741427i
\(511\) 4.54049i 0.200859i
\(512\) 10.5236 + 20.0313i 0.465080 + 0.885269i
\(513\) 1.30374 0.188121i 0.0575613 0.00830572i
\(514\) 1.94352 + 8.36532i 0.0857248 + 0.368979i
\(515\) −7.03039 + 0.692433i −0.309796 + 0.0305123i
\(516\) −0.409593 + 21.2524i −0.0180313 + 0.935586i
\(517\) 14.9040 27.8835i 0.655479 1.22631i
\(518\) 0.729905 + 2.15585i 0.0320702 + 0.0947228i
\(519\) 4.48191 + 3.56675i 0.196734 + 0.156563i
\(520\) −10.7735 + 8.79870i −0.472449 + 0.385848i
\(521\) 2.73960 + 13.7729i 0.120024 + 0.603402i 0.993241 + 0.116070i \(0.0370297\pi\)
−0.873217 + 0.487332i \(0.837970\pi\)
\(522\) 13.4691 + 36.1627i 0.589529 + 1.58280i
\(523\) 12.1807 + 14.8422i 0.532623 + 0.649003i 0.967913 0.251287i \(-0.0808539\pi\)
−0.435289 + 0.900291i \(0.643354\pi\)
\(524\) 16.6147 10.2951i 0.725817 0.449745i
\(525\) 0.0594503 + 3.95168i 0.00259462 + 0.172465i
\(526\) 0.484153 + 15.1575i 0.0211101 + 0.660899i
\(527\) 13.1507 31.7487i 0.572855 1.38300i
\(528\) −13.2964 + 36.6408i −0.578653 + 1.59459i
\(529\) −4.31512 10.4176i −0.187614 0.452941i
\(530\) 2.25979 1.02173i 0.0981590 0.0443813i
\(531\) −9.50694 28.2512i −0.412566 1.22600i
\(532\) −0.00895634 + 0.260912i −0.000388307 + 0.0113120i
\(533\) −24.0429 2.36802i −1.04141 0.102570i
\(534\) 16.4748 + 35.0244i 0.712935 + 1.51565i
\(535\) −2.69707 + 4.03646i −0.116605 + 0.174511i
\(536\) −16.6380 + 16.5589i −0.718651 + 0.715234i
\(537\) −0.578573 5.08840i −0.0249673 0.219581i
\(538\) −3.92883 4.48716i −0.169384 0.193455i
\(539\) −36.2594 + 10.9992i −1.56180 + 0.473768i
\(540\) 3.07722 + 7.20757i 0.132423 + 0.310165i
\(541\) 16.2986 19.8599i 0.700730 0.853842i −0.294060 0.955787i \(-0.595007\pi\)
0.994790 + 0.101945i \(0.0325066\pi\)
\(542\) −0.105846 0.0175616i −0.00454648 0.000754337i
\(543\) −6.13229 19.1724i −0.263162 0.822764i
\(544\) −0.767757 + 20.9124i −0.0329173 + 0.896611i
\(545\) −1.27562 1.27562i −0.0546416 0.0546416i
\(546\) −8.13886 + 1.18971i −0.348311 + 0.0509149i
\(547\) 6.16771 7.51537i 0.263712 0.321334i −0.624273 0.781206i \(-0.714605\pi\)
0.887985 + 0.459872i \(0.152105\pi\)
\(548\) −19.6606 25.7067i −0.839861 1.09814i
\(549\) −2.66223 + 3.45059i −0.113621 + 0.147268i
\(550\) 35.1804 + 2.33391i 1.50010 + 0.0995184i
\(551\) 1.91718 1.28102i 0.0816747 0.0545733i
\(552\) −16.1124 4.66571i −0.685787 0.198586i
\(553\) −2.86703 + 4.29082i −0.121919 + 0.182464i
\(554\) −2.34703 17.9375i −0.0997155 0.762092i
\(555\) 2.21682 3.42824i 0.0940986 0.145521i
\(556\) −6.80870 3.09803i −0.288753 0.131386i
\(557\) 4.55723 + 1.38242i 0.193096 + 0.0585750i 0.385351 0.922770i \(-0.374080\pi\)
−0.192256 + 0.981345i \(0.561580\pi\)
\(558\) −38.1036 + 10.0698i −1.61305 + 0.426287i
\(559\) 15.3137 + 36.9705i 0.647700 + 1.56369i
\(560\) −1.51377 + 0.347893i −0.0639683 + 0.0147012i
\(561\) −27.5188 + 23.2856i −1.16185 + 0.983120i
\(562\) 21.1765 22.5740i 0.893277 0.952225i
\(563\) 15.4658 + 28.9346i 0.651807 + 1.21945i 0.963103 + 0.269133i \(0.0867371\pi\)
−0.311296 + 0.950313i \(0.600763\pi\)
\(564\) −17.3421 + 8.84418i −0.730232 + 0.372407i
\(565\) −4.90401 5.97555i −0.206313 0.251393i
\(566\) −13.2664 23.0202i −0.557627 0.967613i
\(567\) −0.629129 + 4.59135i −0.0264210 + 0.192819i
\(568\) 32.9953 17.5354i 1.38445 0.735768i
\(569\) 3.42816 17.2345i 0.143716 0.722509i −0.839973 0.542629i \(-0.817429\pi\)
0.983689 0.179880i \(-0.0575710\pi\)
\(570\) 0.376706 0.278152i 0.0157785 0.0116505i
\(571\) 2.97366 5.56332i 0.124444 0.232818i −0.811983 0.583681i \(-0.801612\pi\)
0.936427 + 0.350863i \(0.114112\pi\)
\(572\) 4.68296 + 73.2306i 0.195805 + 3.06193i
\(573\) −4.90758 + 12.3711i −0.205017 + 0.516810i
\(574\) −2.28977 1.42639i −0.0955730 0.0595364i
\(575\) 15.1730i 0.632757i
\(576\) 19.6113 13.8346i 0.817137 0.576443i
\(577\) 6.54527i 0.272483i 0.990676 + 0.136242i \(0.0435023\pi\)
−0.990676 + 0.136242i \(0.956498\pi\)
\(578\) 2.47886 3.97929i 0.103107 0.165516i
\(579\) −9.42507 + 23.7589i −0.391693 + 0.987384i
\(580\) 10.2996 + 9.06152i 0.427669 + 0.376259i
\(581\) 0.615565 1.15164i 0.0255379 0.0477781i
\(582\) −7.69322 10.4191i −0.318894 0.431884i
\(583\) 2.55240 12.8318i 0.105710 0.531439i
\(584\) −19.2417 15.8682i −0.796228 0.656629i
\(585\) 10.7415 + 10.1139i 0.444107 + 0.418157i
\(586\) −2.43723 + 1.40455i −0.100681 + 0.0580216i
\(587\) −17.8057 21.6963i −0.734918 0.895501i 0.262672 0.964885i \(-0.415396\pi\)
−0.997590 + 0.0693846i \(0.977896\pi\)
\(588\) 22.1910 + 7.20135i 0.915142 + 0.296979i
\(589\) 1.11009 + 2.07683i 0.0457405 + 0.0855744i
\(590\) −7.72826 7.24984i −0.318168 0.298471i
\(591\) −6.11621 + 5.17536i −0.251587 + 0.212886i
\(592\) −11.6870 4.44111i −0.480332 0.182529i
\(593\) 10.8736 + 26.2512i 0.446525 + 1.07801i 0.973615 + 0.228197i \(0.0732830\pi\)
−0.527090 + 0.849809i \(0.676717\pi\)
\(594\) 40.3695 + 8.91997i 1.65638 + 0.365991i
\(595\) −1.37461 0.416985i −0.0563537 0.0170947i
\(596\) 20.5016 7.67908i 0.839777 0.314547i
\(597\) 14.2613 22.0546i 0.583675 0.902635i
\(598\) −31.3119 + 4.09698i −1.28044 + 0.167538i
\(599\) 8.14026 12.1828i 0.332602 0.497774i −0.627044 0.778983i \(-0.715736\pi\)
0.959646 + 0.281209i \(0.0907356\pi\)
\(600\) −16.9542 13.5584i −0.692153 0.553521i
\(601\) 1.24803 0.833906i 0.0509082 0.0340157i −0.529856 0.848088i \(-0.677754\pi\)
0.580764 + 0.814072i \(0.302754\pi\)
\(602\) −0.295788 + 4.45859i −0.0120554 + 0.181718i
\(603\) 19.7126 + 15.2088i 0.802759 + 0.619351i
\(604\) 4.50296 33.7885i 0.183223 1.37483i
\(605\) −9.88051 + 12.0394i −0.401700 + 0.489473i
\(606\) −0.312546 2.13814i −0.0126963 0.0868560i
\(607\) −8.77347 8.77347i −0.356104 0.356104i 0.506270 0.862375i \(-0.331024\pi\)
−0.862375 + 0.506270i \(0.831024\pi\)
\(608\) −1.07440 0.949795i −0.0435725 0.0385193i
\(609\) 2.47132 + 7.72649i 0.100143 + 0.313093i
\(610\) −0.253591 + 1.52842i −0.0102676 + 0.0618840i
\(611\) −23.2493 + 28.3293i −0.940566 + 1.14608i
\(612\) 22.0980 2.08218i 0.893259 0.0841673i
\(613\) −10.5592 + 3.20309i −0.426481 + 0.129372i −0.496226 0.868193i \(-0.665281\pi\)
0.0697454 + 0.997565i \(0.477781\pi\)
\(614\) 8.36171 7.32128i 0.337451 0.295463i
\(615\) 0.546673 + 4.80785i 0.0220440 + 0.193871i
\(616\) −3.15370 + 7.56267i −0.127066 + 0.304709i
\(617\) −26.4556 + 39.5936i −1.06506 + 1.59398i −0.295569 + 0.955321i \(0.595509\pi\)
−0.769492 + 0.638656i \(0.779491\pi\)
\(618\) 20.7640 9.76697i 0.835249 0.392885i
\(619\) 32.8207 + 3.23256i 1.31918 + 0.129927i 0.732984 0.680246i \(-0.238127\pi\)
0.586191 + 0.810173i \(0.300627\pi\)
\(620\) −10.2410 + 9.56128i −0.411290 + 0.383990i
\(621\) −2.68024 + 17.5888i −0.107554 + 0.705814i
\(622\) −7.52931 16.6527i −0.301898 0.667713i
\(623\) 3.11369 + 7.51712i 0.124748 + 0.301167i
\(624\) 23.4020 38.6488i 0.936831 1.54719i
\(625\) −6.42643 + 15.5148i −0.257057 + 0.620591i
\(626\) −22.5724 + 0.720996i −0.902176 + 0.0288168i
\(627\) −0.0371599 2.47003i −0.00148402 0.0986433i
\(628\) −2.37760 + 10.1242i −0.0948765 + 0.404000i
\(629\) −7.33520 8.93796i −0.292473 0.356380i
\(630\) 0.575017 + 1.54384i 0.0229092 + 0.0615080i
\(631\) 2.58342 + 12.9877i 0.102844 + 0.517033i 0.997524 + 0.0703251i \(0.0224037\pi\)
−0.894680 + 0.446708i \(0.852596\pi\)
\(632\) −8.16392 27.1455i −0.324743 1.07979i
\(633\) −13.4905 10.7358i −0.536199 0.426712i
\(634\) 5.83349 1.97504i 0.231677 0.0784387i
\(635\) 0.615373 1.15128i 0.0244203 0.0456872i
\(636\) −5.80486 + 5.58533i −0.230177 + 0.221473i
\(637\) 43.7093 4.30499i 1.73182 0.170570i
\(638\) 70.4923 16.3775i 2.79082 0.648390i
\(639\) −22.9997 32.2756i −0.909854 1.27680i
\(640\) 3.81602 7.63087i 0.150842 0.301637i
\(641\) 19.8629i 0.784538i −0.919850 0.392269i \(-0.871690\pi\)
0.919850 0.392269i \(-0.128310\pi\)
\(642\) 3.86377 15.2879i 0.152491 0.603364i
\(643\) −2.31995 23.5549i −0.0914899 0.928913i −0.925900 0.377769i \(-0.876691\pi\)
0.834410 0.551144i \(-0.185809\pi\)
\(644\) −3.33725 1.13876i −0.131506 0.0448735i
\(645\) 6.59639 4.55257i 0.259732 0.179257i
\(646\) −0.425305 1.25618i −0.0167334 0.0494239i
\(647\) 5.88440 29.5829i 0.231340 1.16302i −0.674130 0.738613i \(-0.735481\pi\)
0.905470 0.424411i \(-0.139519\pi\)
\(648\) −17.2586 18.7121i −0.677981 0.735079i
\(649\) −54.8267 + 10.9057i −2.15214 + 0.428087i
\(650\) −39.4675 10.6089i −1.54804 0.416115i
\(651\) −8.10048 + 1.73835i −0.317483 + 0.0681315i
\(652\) −4.68819 + 19.9631i −0.183604 + 0.781815i
\(653\) 4.08467 + 7.64189i 0.159846 + 0.299050i 0.949076 0.315047i \(-0.102020\pi\)
−0.789230 + 0.614097i \(0.789520\pi\)
\(654\) 5.29179 + 2.51653i 0.206925 + 0.0984041i
\(655\) −6.80889 2.82033i −0.266045 0.110200i
\(656\) 14.0471 4.71862i 0.548446 0.184231i
\(657\) −14.0286 + 22.4276i −0.547307 + 0.874984i
\(658\) −3.72882 + 1.68594i −0.145365 + 0.0657248i
\(659\) 5.76970 + 1.75022i 0.224755 + 0.0681788i 0.400654 0.916230i \(-0.368783\pi\)
−0.175898 + 0.984408i \(0.556283\pi\)
\(660\) 14.1440 3.99458i 0.550553 0.155489i
\(661\) 2.56054 25.9976i 0.0995936 1.01119i −0.807388 0.590021i \(-0.799120\pi\)
0.906982 0.421170i \(-0.138380\pi\)
\(662\) −14.8301 + 19.2952i −0.576388 + 0.749929i
\(663\) 36.5508 20.2496i 1.41952 0.786427i
\(664\) 2.72915 + 6.63342i 0.105912 + 0.257426i
\(665\) 0.0818472 0.0546886i 0.00317390 0.00212073i
\(666\) −3.05552 + 12.9039i −0.118399 + 0.500017i
\(667\) 9.04060 + 29.8029i 0.350053 + 1.15397i
\(668\) −7.91763 + 13.6636i −0.306342 + 0.528659i
\(669\) 10.4652 + 24.2278i 0.404607 + 0.936699i
\(670\) 8.73159 + 1.44872i 0.337331 + 0.0559688i
\(671\) 5.77936 + 5.77936i 0.223110 + 0.223110i
\(672\) 4.25458 2.71145i 0.164124 0.104596i
\(673\) −13.1740 + 13.1740i −0.507819 + 0.507819i −0.913857 0.406037i \(-0.866910\pi\)
0.406037 + 0.913857i \(0.366910\pi\)
\(674\) −39.1134 + 27.9813i −1.50659 + 1.07780i
\(675\) −11.9157 + 19.7029i −0.458635 + 0.758363i
\(676\) 7.80157 58.5400i 0.300060 2.25154i
\(677\) 28.7735 8.72834i 1.10585 0.335457i 0.316005 0.948758i \(-0.397658\pi\)
0.789850 + 0.613300i \(0.210158\pi\)
\(678\) 21.5094 + 12.9541i 0.826065 + 0.497500i
\(679\) −1.51259 2.26376i −0.0580480 0.0868750i
\(680\) 6.57112 4.36807i 0.251991 0.167508i
\(681\) 21.1670 11.7267i 0.811119 0.449369i
\(682\) 9.58917 + 73.2868i 0.367188 + 2.80630i
\(683\) 37.8374 + 3.72666i 1.44781 + 0.142597i 0.791165 0.611603i \(-0.209475\pi\)
0.656645 + 0.754200i \(0.271975\pi\)
\(684\) −0.850370 + 1.26109i −0.0325147 + 0.0482192i
\(685\) −3.54228 + 11.6773i −0.135343 + 0.446168i
\(686\) 9.35791 + 3.53056i 0.357287 + 0.134797i
\(687\) −2.58665 0.215529i −0.0986869 0.00822295i
\(688\) −17.8609 16.8354i −0.680941 0.641845i
\(689\) −5.80346 + 14.0108i −0.221094 + 0.533769i
\(690\) 2.11819 + 5.95963i 0.0806382 + 0.226879i
\(691\) −5.56843 + 2.97639i −0.211833 + 0.113227i −0.573901 0.818924i \(-0.694571\pi\)
0.362068 + 0.932152i \(0.382071\pi\)
\(692\) −6.52741 + 1.06703i −0.248135 + 0.0405624i
\(693\) 8.38883 + 2.27152i 0.318665 + 0.0862879i
\(694\) −4.47189 7.75977i −0.169751 0.294557i
\(695\) 0.550259 + 2.76634i 0.0208725 + 0.104933i
\(696\) −41.3802 16.5296i −1.56851 0.626554i
\(697\) 13.4412 + 2.67362i 0.509121 + 0.101270i
\(698\) −7.39878 3.65599i −0.280048 0.138381i
\(699\) 1.62040 1.11833i 0.0612891 0.0422993i
\(700\) −3.42625 3.01438i −0.129500 0.113933i
\(701\) −21.2835 + 2.09624i −0.803866 + 0.0791739i −0.491600 0.870821i \(-0.663588\pi\)
−0.312266 + 0.949995i \(0.601088\pi\)
\(702\) −43.8774 19.2698i −1.65605 0.727291i
\(703\) 0.792345 0.0298839
\(704\) −21.0276 39.7949i −0.792507 1.49983i
\(705\) 6.52480 + 3.36238i 0.245738 + 0.126634i
\(706\) −18.3137 + 29.3988i −0.689246 + 1.10644i
\(707\) −0.0445237 0.452056i −0.00167448 0.0170013i
\(708\) 31.5395 + 13.7820i 1.18533 + 0.517958i
\(709\) 23.1552 + 12.3767i 0.869613 + 0.464818i 0.844930 0.534878i \(-0.179642\pi\)
0.0246833 + 0.999695i \(0.492142\pi\)
\(710\) −12.6310 6.24140i −0.474033 0.234236i
\(711\) −27.4188 + 12.3362i −1.02828 + 0.462644i
\(712\) −42.7379 13.0757i −1.60167 0.490033i
\(713\) −31.1962 + 6.20531i −1.16831 + 0.232391i
\(714\) 4.66074 0.219094i 0.174424 0.00819938i
\(715\) 21.3881 17.5527i 0.799869 0.656435i
\(716\) 4.80124 + 3.45208i 0.179431 + 0.129010i
\(717\) −0.489717 32.5516i −0.0182888 1.21566i
\(718\) 14.5739 + 13.6717i 0.543894 + 0.510224i
\(719\) −0.436229 0.180692i −0.0162686 0.00673867i 0.374534 0.927213i \(-0.377803\pi\)
−0.390803 + 0.920474i \(0.627803\pi\)
\(720\) −8.55207 2.95861i −0.318717 0.110261i
\(721\) 4.45647 1.84593i 0.165968 0.0687461i
\(722\) −25.0553 9.45287i −0.932461 0.351799i
\(723\) 32.9291 33.9350i 1.22465 1.26206i
\(724\) 21.1561 + 9.62625i 0.786260 + 0.357757i
\(725\) −3.95065 + 40.1117i −0.146724 + 1.48971i
\(726\) 17.1437 47.5960i 0.636261 1.76645i
\(727\) 16.9324 + 11.3139i 0.627988 + 0.419608i 0.828426 0.560098i \(-0.189237\pi\)
−0.200439 + 0.979706i \(0.564237\pi\)
\(728\) 5.29551 7.88455i 0.196265 0.292221i
\(729\) −17.2933 + 20.7350i −0.640492 + 0.767965i
\(730\) −0.622512 + 9.38348i −0.0230402 + 0.347298i
\(731\) −6.58937 21.7222i −0.243717 0.803426i
\(732\) −0.886489 4.95374i −0.0327656 0.183095i
\(733\) −13.7069 11.2490i −0.506276 0.415490i 0.346276 0.938133i \(-0.387446\pi\)
−0.852552 + 0.522643i \(0.824946\pi\)
\(734\) 34.8824 24.9545i 1.28753 0.921086i
\(735\) −2.67993 8.37869i −0.0988506 0.309052i
\(736\) 16.4889 10.1629i 0.607790 0.374609i
\(737\) 33.0164 33.0164i 1.21618 1.21618i
\(738\) −6.90316 14.1202i −0.254109 0.519772i
\(739\) 33.4990 + 27.4919i 1.23228 + 1.01131i 0.999246 + 0.0388373i \(0.0123654\pi\)
0.233034 + 0.972469i \(0.425135\pi\)
\(740\) 1.21287 + 4.55541i 0.0445858 + 0.167460i
\(741\) −0.516316 + 2.81648i −0.0189673 + 0.103466i
\(742\) −1.27405 + 1.11552i −0.0467718 + 0.0409521i
\(743\) −16.4113 24.5613i −0.602072 0.901065i 0.397793 0.917475i \(-0.369776\pi\)
−0.999865 + 0.0164103i \(0.994776\pi\)
\(744\) 20.9429 40.4035i 0.767802 1.48126i
\(745\) −6.86356 4.58609i −0.251461 0.168021i
\(746\) 28.1050 36.5670i 1.02900 1.33881i
\(747\) 6.59874 3.78661i 0.241435 0.138545i
\(748\) 1.42804 41.6009i 0.0522142 1.52108i
\(749\) 0.962228 3.17204i 0.0351591 0.115904i
\(750\) −0.891607 + 17.3987i −0.0325569 + 0.635309i
\(751\) 46.4090 19.2233i 1.69349 0.701467i 0.693667 0.720295i \(-0.255994\pi\)
0.999823 + 0.0188289i \(0.00599376\pi\)
\(752\) 5.88686 21.6941i 0.214672 0.791102i
\(753\) 4.75374 4.02247i 0.173236 0.146587i
\(754\) −83.8436 + 2.67808i −3.05340 + 0.0975301i
\(755\) −11.3352 + 6.05879i −0.412530 + 0.220502i
\(756\) −3.43929 4.09956i −0.125086 0.149099i
\(757\) −14.7636 + 12.1162i −0.536591 + 0.440369i −0.863252 0.504772i \(-0.831576\pi\)
0.326661 + 0.945141i \(0.394076\pi\)
\(758\) 26.3542 + 7.08402i 0.957226 + 0.257303i
\(759\) 32.0715 + 9.20430i 1.16412 + 0.334095i
\(760\) −0.0542811 + 0.537979i −0.00196898 + 0.0195146i
\(761\) −13.6947 2.72405i −0.496434 0.0987468i −0.0594777 0.998230i \(-0.518944\pi\)
−0.436956 + 0.899483i \(0.643944\pi\)
\(762\) −0.631035 + 4.19302i −0.0228600 + 0.151897i
\(763\) 1.08634 + 0.580662i 0.0393282 + 0.0210214i
\(764\) −6.77513 13.7938i −0.245115 0.499042i
\(765\) −5.50152 6.30678i −0.198908 0.228022i
\(766\) −0.423575 + 0.0984092i −0.0153044 + 0.00355567i
\(767\) 64.7966 2.33967
\(768\) −3.37839 + 27.5061i −0.121907 + 0.992542i
\(769\) 3.14707 0.113486 0.0567432 0.998389i \(-0.481928\pi\)
0.0567432 + 0.998389i \(0.481928\pi\)
\(770\) 3.00941 0.699177i 0.108452 0.0251966i
\(771\) −3.87853 + 9.77706i −0.139682 + 0.352112i
\(772\) −13.0117 26.4912i −0.468302 0.953438i
\(773\) 42.9394 + 22.9516i 1.54442 + 0.825511i