Properties

Label 390.2.bn.b.97.3
Level $390$
Weight $2$
Character 390.97
Analytic conductor $3.114$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bn (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.3
Root \(0.117630 - 0.893490i\) of defining polynomial
Character \(\chi\) \(=\) 390.97
Dual form 390.2.bn.b.193.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.23607 + 0.00342112i) q^{5} +(0.965926 + 0.258819i) q^{6} +(3.25724 - 1.88057i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.23607 + 0.00342112i) q^{5} +(0.965926 + 0.258819i) q^{6} +(3.25724 - 1.88057i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(-1.11507 + 1.93820i) q^{10} +(4.81242 - 1.28948i) q^{11} +(0.707107 - 0.707107i) q^{12} +(3.57858 + 0.440224i) q^{13} -3.76113i q^{14} +(-0.582041 - 2.15899i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-5.59335 - 1.49873i) q^{17} +1.00000i q^{18} +(0.910792 - 3.39912i) q^{19} +(1.12100 + 1.93478i) q^{20} +(2.65952 + 2.65952i) q^{21} +(1.28948 - 4.81242i) q^{22} +(5.57258 - 1.49317i) q^{23} +(-0.258819 - 0.965926i) q^{24} +(4.99998 - 0.0152997i) q^{25} +(2.17053 - 2.87903i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(-3.25724 - 1.88057i) q^{28} +(-3.67601 - 2.12235i) q^{29} +(-2.16076 - 0.575432i) q^{30} +(-2.51448 + 2.51448i) q^{31} +(0.500000 + 0.866025i) q^{32} +(2.49109 + 4.31470i) q^{33} +(-4.09462 + 4.09462i) q^{34} +(-7.27696 + 4.21621i) q^{35} +(0.866025 + 0.500000i) q^{36} +(1.47447 + 0.851284i) q^{37} +(-2.48833 - 2.48833i) q^{38} +(0.500979 + 3.57058i) q^{39} +(2.23607 - 0.00342112i) q^{40} +(2.10480 + 7.85522i) q^{41} +(3.63298 - 0.973453i) q^{42} +(0.161303 - 0.601992i) q^{43} +(-3.52294 - 3.52294i) q^{44} +(1.93478 - 1.12100i) q^{45} +(1.49317 - 5.57258i) q^{46} +9.18458i q^{47} +(-0.965926 - 0.258819i) q^{48} +(3.57307 - 6.18873i) q^{49} +(2.48674 - 4.33776i) q^{50} -5.79066i q^{51} +(-1.40804 - 3.31925i) q^{52} +(-6.03244 + 6.03244i) q^{53} +(-0.965926 + 0.258819i) q^{54} +(-10.7565 + 2.89983i) q^{55} +(-3.25724 + 1.88057i) q^{56} +3.51903 q^{57} +(-3.67601 + 2.12235i) q^{58} +(-5.50190 - 1.47423i) q^{59} +(-1.57872 + 1.58356i) q^{60} +(-2.64801 - 4.58649i) q^{61} +(0.920362 + 3.43484i) q^{62} +(-1.88057 + 3.25724i) q^{63} +1.00000 q^{64} +(-8.00343 - 0.972128i) q^{65} +4.98218 q^{66} +(-2.69190 + 4.66250i) q^{67} +(1.49873 + 5.59335i) q^{68} +(2.88458 + 4.99624i) q^{69} +(0.0128673 + 8.41014i) q^{70} +(-11.0111 - 2.95042i) q^{71} +(0.866025 - 0.500000i) q^{72} -5.27482 q^{73} +(1.47447 - 0.851284i) q^{74} +(1.30887 + 4.82565i) q^{75} +(-3.39912 + 0.910792i) q^{76} +(13.2502 - 13.2502i) q^{77} +(3.34270 + 1.35143i) q^{78} +4.66690i q^{79} +(1.11507 - 1.93820i) q^{80} +(0.500000 - 0.866025i) q^{81} +(7.85522 + 2.10480i) q^{82} -0.863680i q^{83} +(0.973453 - 3.63298i) q^{84} +(12.5122 + 3.33213i) q^{85} +(-0.440689 - 0.440689i) q^{86} +(1.09861 - 4.10006i) q^{87} +(-4.81242 + 1.28948i) q^{88} +(-3.59112 - 13.4022i) q^{89} +(-0.00342112 - 2.23607i) q^{90} +(12.4841 - 5.29584i) q^{91} +(-4.07941 - 4.07941i) q^{92} +(-3.07959 - 1.77800i) q^{93} +(7.95408 + 4.59229i) q^{94} +(-2.02496 + 7.60378i) q^{95} +(-0.707107 + 0.707107i) q^{96} +(8.93684 + 15.4791i) q^{97} +(-3.57307 - 6.18873i) q^{98} +(-3.52294 + 3.52294i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8} + 12 q^{11} + 8 q^{13} - 8 q^{15} - 8 q^{16} - 4 q^{17} - 4 q^{19} + 4 q^{23} + 4 q^{25} + 4 q^{26} - 24 q^{28} - 48 q^{29} - 4 q^{30} + 16 q^{31} + 8 q^{32} + 16 q^{33} - 20 q^{34} - 12 q^{35} + 12 q^{37} + 4 q^{38} + 4 q^{39} - 12 q^{41} + 20 q^{43} - 12 q^{44} + 8 q^{45} - 4 q^{46} - 4 q^{49} - 16 q^{50} - 4 q^{52} + 32 q^{53} + 16 q^{55} - 24 q^{56} - 8 q^{57} - 48 q^{58} + 4 q^{59} + 4 q^{60} + 4 q^{61} - 4 q^{62} + 4 q^{63} + 16 q^{64} - 8 q^{65} + 32 q^{66} - 28 q^{67} - 16 q^{68} + 4 q^{69} - 36 q^{71} + 32 q^{73} + 12 q^{74} - 24 q^{75} + 8 q^{76} + 4 q^{77} + 20 q^{78} + 8 q^{81} - 24 q^{82} + 52 q^{85} + 16 q^{86} + 36 q^{87} - 12 q^{88} - 24 q^{89} + 4 q^{90} - 8 q^{92} + 36 q^{94} - 40 q^{95} - 4 q^{97} + 4 q^{98} - 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 0.866025i 0.353553 0.612372i
\(3\) 0.258819 + 0.965926i 0.149429 + 0.557678i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −2.23607 + 0.00342112i −0.999999 + 0.00152997i
\(6\) 0.965926 + 0.258819i 0.394338 + 0.105662i
\(7\) 3.25724 1.88057i 1.23112 0.710788i 0.263857 0.964562i \(-0.415005\pi\)
0.967263 + 0.253774i \(0.0816720\pi\)
\(8\) −1.00000 −0.353553
\(9\) −0.866025 + 0.500000i −0.288675 + 0.166667i
\(10\) −1.11507 + 1.93820i −0.352616 + 0.612913i
\(11\) 4.81242 1.28948i 1.45100 0.388794i 0.554628 0.832099i \(-0.312861\pi\)
0.896371 + 0.443305i \(0.146194\pi\)
\(12\) 0.707107 0.707107i 0.204124 0.204124i
\(13\) 3.57858 + 0.440224i 0.992518 + 0.122096i
\(14\) 3.76113i 1.00521i
\(15\) −0.582041 2.15899i −0.150282 0.557448i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −5.59335 1.49873i −1.35659 0.363496i −0.494025 0.869448i \(-0.664475\pi\)
−0.862562 + 0.505952i \(0.831141\pi\)
\(18\) 1.00000i 0.235702i
\(19\) 0.910792 3.39912i 0.208950 0.779812i −0.779259 0.626702i \(-0.784404\pi\)
0.988209 0.153110i \(-0.0489290\pi\)
\(20\) 1.12100 + 1.93478i 0.250662 + 0.432630i
\(21\) 2.65952 + 2.65952i 0.580356 + 0.580356i
\(22\) 1.28948 4.81242i 0.274919 1.02601i
\(23\) 5.57258 1.49317i 1.16196 0.311347i 0.374214 0.927342i \(-0.377913\pi\)
0.787750 + 0.615995i \(0.211246\pi\)
\(24\) −0.258819 0.965926i −0.0528312 0.197169i
\(25\) 4.99998 0.0152997i 0.999995 0.00305994i
\(26\) 2.17053 2.87903i 0.425677 0.564623i
\(27\) −0.707107 0.707107i −0.136083 0.136083i
\(28\) −3.25724 1.88057i −0.615560 0.355394i
\(29\) −3.67601 2.12235i −0.682618 0.394110i 0.118223 0.992987i \(-0.462280\pi\)
−0.800841 + 0.598877i \(0.795614\pi\)
\(30\) −2.16076 0.575432i −0.394499 0.105059i
\(31\) −2.51448 + 2.51448i −0.451613 + 0.451613i −0.895890 0.444276i \(-0.853461\pi\)
0.444276 + 0.895890i \(0.353461\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) 2.49109 + 4.31470i 0.433643 + 0.751092i
\(34\) −4.09462 + 4.09462i −0.702221 + 0.702221i
\(35\) −7.27696 + 4.21621i −1.23003 + 0.712670i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 1.47447 + 0.851284i 0.242401 + 0.139950i 0.616280 0.787527i \(-0.288639\pi\)
−0.373879 + 0.927478i \(0.621972\pi\)
\(38\) −2.48833 2.48833i −0.403661 0.403661i
\(39\) 0.500979 + 3.57058i 0.0802209 + 0.571750i
\(40\) 2.23607 0.00342112i 0.353553 0.000540927i
\(41\) 2.10480 + 7.85522i 0.328715 + 1.22678i 0.910525 + 0.413455i \(0.135678\pi\)
−0.581810 + 0.813325i \(0.697655\pi\)
\(42\) 3.63298 0.973453i 0.560581 0.150207i
\(43\) 0.161303 0.601992i 0.0245985 0.0918029i −0.952535 0.304428i \(-0.901535\pi\)
0.977134 + 0.212625i \(0.0682013\pi\)
\(44\) −3.52294 3.52294i −0.531102 0.531102i
\(45\) 1.93478 1.12100i 0.288420 0.167108i
\(46\) 1.49317 5.57258i 0.220156 0.821633i
\(47\) 9.18458i 1.33971i 0.742493 + 0.669854i \(0.233643\pi\)
−0.742493 + 0.669854i \(0.766357\pi\)
\(48\) −0.965926 0.258819i −0.139419 0.0373573i
\(49\) 3.57307 6.18873i 0.510438 0.884105i
\(50\) 2.48674 4.33776i 0.351678 0.613451i
\(51\) 5.79066i 0.810855i
\(52\) −1.40804 3.31925i −0.195260 0.460297i
\(53\) −6.03244 + 6.03244i −0.828619 + 0.828619i −0.987326 0.158707i \(-0.949268\pi\)
0.158707 + 0.987326i \(0.449268\pi\)
\(54\) −0.965926 + 0.258819i −0.131446 + 0.0352208i
\(55\) −10.7565 + 2.89983i −1.45040 + 0.391014i
\(56\) −3.25724 + 1.88057i −0.435267 + 0.251301i
\(57\) 3.51903 0.466107
\(58\) −3.67601 + 2.12235i −0.482684 + 0.278678i
\(59\) −5.50190 1.47423i −0.716287 0.191928i −0.117773 0.993041i \(-0.537575\pi\)
−0.598514 + 0.801112i \(0.704242\pi\)
\(60\) −1.57872 + 1.58356i −0.203812 + 0.204436i
\(61\) −2.64801 4.58649i −0.339043 0.587240i 0.645210 0.764005i \(-0.276770\pi\)
−0.984253 + 0.176765i \(0.943437\pi\)
\(62\) 0.920362 + 3.43484i 0.116886 + 0.436225i
\(63\) −1.88057 + 3.25724i −0.236929 + 0.410373i
\(64\) 1.00000 0.125000
\(65\) −8.00343 0.972128i −0.992704 0.120578i
\(66\) 4.98218 0.613264
\(67\) −2.69190 + 4.66250i −0.328868 + 0.569616i −0.982287 0.187380i \(-0.940000\pi\)
0.653420 + 0.756996i \(0.273334\pi\)
\(68\) 1.49873 + 5.59335i 0.181748 + 0.678293i
\(69\) 2.88458 + 4.99624i 0.347263 + 0.601477i
\(70\) 0.0128673 + 8.41014i 0.00153794 + 1.00520i
\(71\) −11.0111 2.95042i −1.30678 0.350150i −0.462770 0.886479i \(-0.653144\pi\)
−0.844010 + 0.536328i \(0.819811\pi\)
\(72\) 0.866025 0.500000i 0.102062 0.0589256i
\(73\) −5.27482 −0.617371 −0.308686 0.951164i \(-0.599889\pi\)
−0.308686 + 0.951164i \(0.599889\pi\)
\(74\) 1.47447 0.851284i 0.171403 0.0989597i
\(75\) 1.30887 + 4.82565i 0.151135 + 0.557218i
\(76\) −3.39912 + 0.910792i −0.389906 + 0.104475i
\(77\) 13.2502 13.2502i 1.51000 1.51000i
\(78\) 3.34270 + 1.35143i 0.378486 + 0.153019i
\(79\) 4.66690i 0.525068i 0.964923 + 0.262534i \(0.0845582\pi\)
−0.964923 + 0.262534i \(0.915442\pi\)
\(80\) 1.11507 1.93820i 0.124669 0.216697i
\(81\) 0.500000 0.866025i 0.0555556 0.0962250i
\(82\) 7.85522 + 2.10480i 0.867464 + 0.232436i
\(83\) 0.863680i 0.0948012i −0.998876 0.0474006i \(-0.984906\pi\)
0.998876 0.0474006i \(-0.0150937\pi\)
\(84\) 0.973453 3.63298i 0.106212 0.396390i
\(85\) 12.5122 + 3.33213i 1.35714 + 0.361420i
\(86\) −0.440689 0.440689i −0.0475207 0.0475207i
\(87\) 1.09861 4.10006i 0.117783 0.439572i
\(88\) −4.81242 + 1.28948i −0.513006 + 0.137459i
\(89\) −3.59112 13.4022i −0.380658 1.42063i −0.844899 0.534925i \(-0.820340\pi\)
0.464242 0.885709i \(-0.346327\pi\)
\(90\) −0.00342112 2.23607i −0.000360618 0.235702i
\(91\) 12.4841 5.29584i 1.30869 0.555154i
\(92\) −4.07941 4.07941i −0.425308 0.425308i
\(93\) −3.07959 1.77800i −0.319339 0.184370i
\(94\) 7.95408 + 4.59229i 0.820401 + 0.473658i
\(95\) −2.02496 + 7.60378i −0.207757 + 0.780131i
\(96\) −0.707107 + 0.707107i −0.0721688 + 0.0721688i
\(97\) 8.93684 + 15.4791i 0.907399 + 1.57166i 0.817664 + 0.575696i \(0.195269\pi\)
0.0897349 + 0.995966i \(0.471398\pi\)
\(98\) −3.57307 6.18873i −0.360934 0.625156i
\(99\) −3.52294 + 3.52294i −0.354068 + 0.354068i
\(100\) −2.51324 4.32246i −0.251324 0.432246i
\(101\) −3.70757 2.14057i −0.368917 0.212994i 0.304068 0.952650i \(-0.401655\pi\)
−0.672985 + 0.739656i \(0.734988\pi\)
\(102\) −5.01486 2.89533i −0.496545 0.286680i
\(103\) 5.75774 + 5.75774i 0.567327 + 0.567327i 0.931379 0.364052i \(-0.118607\pi\)
−0.364052 + 0.931379i \(0.618607\pi\)
\(104\) −3.57858 0.440224i −0.350908 0.0431676i
\(105\) −5.95597 5.93777i −0.581243 0.579467i
\(106\) 2.20803 + 8.24046i 0.214462 + 0.800384i
\(107\) 4.02443 1.07834i 0.389056 0.104247i −0.0589882 0.998259i \(-0.518787\pi\)
0.448044 + 0.894011i \(0.352121\pi\)
\(108\) −0.258819 + 0.965926i −0.0249049 + 0.0929463i
\(109\) −4.69157 4.69157i −0.449371 0.449371i 0.445774 0.895145i \(-0.352928\pi\)
−0.895145 + 0.445774i \(0.852928\pi\)
\(110\) −2.86691 + 10.7653i −0.273349 + 1.02643i
\(111\) −0.440657 + 1.64455i −0.0418253 + 0.156094i
\(112\) 3.76113i 0.355394i
\(113\) 19.6989 + 5.27831i 1.85312 + 0.496542i 0.999695 0.0246772i \(-0.00785579\pi\)
0.853423 + 0.521219i \(0.174522\pi\)
\(114\) 1.75952 3.04757i 0.164794 0.285431i
\(115\) −12.4556 + 3.35789i −1.16149 + 0.313125i
\(116\) 4.24469i 0.394110i
\(117\) −3.31925 + 1.40804i −0.306865 + 0.130174i
\(118\) −4.02767 + 4.02767i −0.370777 + 0.370777i
\(119\) −21.0373 + 5.63694i −1.92849 + 0.516737i
\(120\) 0.582041 + 2.15899i 0.0531328 + 0.197088i
\(121\) 11.9703 6.91107i 1.08821 0.628279i
\(122\) −5.29602 −0.479480
\(123\) −7.04280 + 4.06616i −0.635028 + 0.366633i
\(124\) 3.43484 + 0.920362i 0.308458 + 0.0826510i
\(125\) −11.1802 + 0.0513167i −0.999989 + 0.00458990i
\(126\) 1.88057 + 3.25724i 0.167534 + 0.290178i
\(127\) 3.03693 + 11.3340i 0.269484 + 1.00573i 0.959448 + 0.281884i \(0.0909595\pi\)
−0.689964 + 0.723843i \(0.742374\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) 0.623228 0.0548722
\(130\) −4.84360 + 6.44511i −0.424812 + 0.565274i
\(131\) −8.55747 −0.747669 −0.373835 0.927495i \(-0.621957\pi\)
−0.373835 + 0.927495i \(0.621957\pi\)
\(132\) 2.49109 4.31470i 0.216822 0.375546i
\(133\) −3.42561 12.7846i −0.297038 1.10856i
\(134\) 2.69190 + 4.66250i 0.232545 + 0.402779i
\(135\) 1.58356 + 1.57872i 0.136291 + 0.135874i
\(136\) 5.59335 + 1.49873i 0.479626 + 0.128515i
\(137\) 15.6758 9.05042i 1.33927 0.773230i 0.352574 0.935784i \(-0.385307\pi\)
0.986700 + 0.162554i \(0.0519733\pi\)
\(138\) 5.76916 0.491104
\(139\) −5.27198 + 3.04378i −0.447164 + 0.258170i −0.706632 0.707582i \(-0.749786\pi\)
0.259468 + 0.965752i \(0.416453\pi\)
\(140\) 7.28983 + 4.19393i 0.616103 + 0.354452i
\(141\) −8.87162 + 2.37714i −0.747125 + 0.200192i
\(142\) −8.06070 + 8.06070i −0.676439 + 0.676439i
\(143\) 17.7893 2.49597i 1.48761 0.208724i
\(144\) 1.00000i 0.0833333i
\(145\) 8.22706 + 4.73313i 0.683220 + 0.393065i
\(146\) −2.63741 + 4.56813i −0.218274 + 0.378061i
\(147\) 6.90263 + 1.84956i 0.569320 + 0.152549i
\(148\) 1.70257i 0.139950i
\(149\) −3.21271 + 11.9900i −0.263195 + 0.982259i 0.700150 + 0.713996i \(0.253116\pi\)
−0.963346 + 0.268263i \(0.913550\pi\)
\(150\) 4.83357 + 1.27931i 0.394659 + 0.104455i
\(151\) −10.5457 10.5457i −0.858194 0.858194i 0.132931 0.991125i \(-0.457561\pi\)
−0.991125 + 0.132931i \(0.957561\pi\)
\(152\) −0.910792 + 3.39912i −0.0738750 + 0.275705i
\(153\) 5.59335 1.49873i 0.452195 0.121165i
\(154\) −4.84992 18.1002i −0.390818 1.45855i
\(155\) 5.61393 5.63114i 0.450922 0.452304i
\(156\) 2.84172 2.21915i 0.227520 0.177674i
\(157\) −14.4314 14.4314i −1.15175 1.15175i −0.986202 0.165545i \(-0.947062\pi\)
−0.165545 0.986202i \(-0.552938\pi\)
\(158\) 4.04166 + 2.33345i 0.321537 + 0.185640i
\(159\) −7.38820 4.26558i −0.585922 0.338282i
\(160\) −1.12100 1.93478i −0.0886225 0.152958i
\(161\) 15.3432 15.3432i 1.20922 1.20922i
\(162\) −0.500000 0.866025i −0.0392837 0.0680414i
\(163\) 3.60932 + 6.25152i 0.282704 + 0.489657i 0.972050 0.234775i \(-0.0754354\pi\)
−0.689346 + 0.724432i \(0.742102\pi\)
\(164\) 5.75042 5.75042i 0.449032 0.449032i
\(165\) −5.58500 9.63942i −0.434792 0.750428i
\(166\) −0.747969 0.431840i −0.0580536 0.0335173i
\(167\) 10.6044 + 6.12243i 0.820590 + 0.473768i 0.850620 0.525781i \(-0.176227\pi\)
−0.0300300 + 0.999549i \(0.509560\pi\)
\(168\) −2.65952 2.65952i −0.205187 0.205187i
\(169\) 12.6124 + 3.15075i 0.970185 + 0.242366i
\(170\) 9.14182 9.16984i 0.701146 0.703294i
\(171\) 0.910792 + 3.39912i 0.0696500 + 0.259937i
\(172\) −0.601992 + 0.161303i −0.0459015 + 0.0122993i
\(173\) −0.704267 + 2.62836i −0.0535444 + 0.199831i −0.987517 0.157515i \(-0.949652\pi\)
0.933972 + 0.357346i \(0.116318\pi\)
\(174\) −3.00145 3.00145i −0.227539 0.227539i
\(175\) 16.2573 9.45263i 1.22894 0.714551i
\(176\) −1.28948 + 4.81242i −0.0971985 + 0.362750i
\(177\) 5.69599i 0.428137i
\(178\) −13.4022 3.59112i −1.00454 0.269166i
\(179\) 5.19092 8.99094i 0.387988 0.672015i −0.604191 0.796840i \(-0.706504\pi\)
0.992179 + 0.124825i \(0.0398369\pi\)
\(180\) −1.93820 1.11507i −0.144465 0.0831124i
\(181\) 0.00298723i 0.000222039i −1.00000 0.000111020i \(-0.999965\pi\)
1.00000 0.000111020i \(-3.53386e-5\pi\)
\(182\) 1.65574 13.4595i 0.122732 0.997685i
\(183\) 3.74485 3.74485i 0.276828 0.276828i
\(184\) −5.57258 + 1.49317i −0.410816 + 0.110078i
\(185\) −3.29992 1.89848i −0.242615 0.139579i
\(186\) −3.07959 + 1.77800i −0.225807 + 0.130370i
\(187\) −28.8501 −2.10973
\(188\) 7.95408 4.59229i 0.580111 0.334927i
\(189\) −3.63298 0.973453i −0.264260 0.0708083i
\(190\) 5.57258 + 5.55556i 0.404278 + 0.403043i
\(191\) 1.39117 + 2.40958i 0.100662 + 0.174351i 0.911957 0.410285i \(-0.134571\pi\)
−0.811296 + 0.584636i \(0.801237\pi\)
\(192\) 0.258819 + 0.965926i 0.0186787 + 0.0697097i
\(193\) 7.58514 13.1378i 0.545990 0.945683i −0.452554 0.891737i \(-0.649487\pi\)
0.998544 0.0539455i \(-0.0171797\pi\)
\(194\) 17.8737 1.28326
\(195\) −1.13244 7.98233i −0.0810956 0.571626i
\(196\) −7.14613 −0.510438
\(197\) −10.6561 + 18.4569i −0.759215 + 1.31500i 0.184036 + 0.982919i \(0.441084\pi\)
−0.943251 + 0.332080i \(0.892250\pi\)
\(198\) 1.28948 + 4.81242i 0.0916396 + 0.342004i
\(199\) 4.07958 + 7.06604i 0.289194 + 0.500899i 0.973618 0.228186i \(-0.0732794\pi\)
−0.684424 + 0.729085i \(0.739946\pi\)
\(200\) −4.99998 + 0.0152997i −0.353552 + 0.00108185i
\(201\) −5.20035 1.39343i −0.366804 0.0982849i
\(202\) −3.70757 + 2.14057i −0.260864 + 0.150610i
\(203\) −15.9649 −1.12051
\(204\) −5.01486 + 2.89533i −0.351110 + 0.202714i
\(205\) −4.73334 17.5576i −0.330591 1.22628i
\(206\) 7.86522 2.10748i 0.547996 0.146835i
\(207\) −4.07941 + 4.07941i −0.283539 + 0.283539i
\(208\) −2.17053 + 2.87903i −0.150499 + 0.199624i
\(209\) 17.5325i 1.21275i
\(210\) −8.12024 + 2.18913i −0.560350 + 0.151065i
\(211\) 13.4348 23.2697i 0.924887 1.60195i 0.133144 0.991097i \(-0.457493\pi\)
0.791743 0.610854i \(-0.209174\pi\)
\(212\) 8.24046 + 2.20803i 0.565957 + 0.151648i
\(213\) 11.3995i 0.781084i
\(214\) 1.07834 4.02443i 0.0737139 0.275104i
\(215\) −0.358625 + 1.34665i −0.0244580 + 0.0918405i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) −3.46161 + 12.9189i −0.234989 + 0.876991i
\(218\) −6.40881 + 1.71723i −0.434059 + 0.116306i
\(219\) −1.36522 5.09509i −0.0922533 0.344294i
\(220\) 7.88957 + 7.86546i 0.531914 + 0.530289i
\(221\) −19.3564 7.82566i −1.30206 0.526411i
\(222\) 1.20390 + 1.20390i 0.0808003 + 0.0808003i
\(223\) −14.0273 8.09867i −0.939338 0.542327i −0.0495855 0.998770i \(-0.515790\pi\)
−0.889753 + 0.456443i \(0.849123\pi\)
\(224\) 3.25724 + 1.88057i 0.217633 + 0.125651i
\(225\) −4.32246 + 2.51324i −0.288164 + 0.167549i
\(226\) 14.4206 14.4206i 0.959245 0.959245i
\(227\) 10.7902 + 18.6891i 0.716169 + 1.24044i 0.962507 + 0.271257i \(0.0874394\pi\)
−0.246338 + 0.969184i \(0.579227\pi\)
\(228\) −1.75952 3.04757i −0.116527 0.201830i
\(229\) −9.43282 + 9.43282i −0.623338 + 0.623338i −0.946384 0.323045i \(-0.895293\pi\)
0.323045 + 0.946384i \(0.395293\pi\)
\(230\) −3.31976 + 12.4658i −0.218898 + 0.821969i
\(231\) 16.2282 + 9.36933i 1.06773 + 0.616457i
\(232\) 3.67601 + 2.12235i 0.241342 + 0.139339i
\(233\) −8.62757 8.62757i −0.565211 0.565211i 0.365572 0.930783i \(-0.380873\pi\)
−0.930783 + 0.365572i \(0.880873\pi\)
\(234\) −0.440224 + 3.57858i −0.0287784 + 0.233939i
\(235\) −0.0314216 20.5373i −0.00204972 1.33971i
\(236\) 1.47423 + 5.50190i 0.0959642 + 0.358143i
\(237\) −4.50788 + 1.20788i −0.292819 + 0.0784605i
\(238\) −5.63694 + 21.0373i −0.365388 + 1.36365i
\(239\) 4.17052 + 4.17052i 0.269768 + 0.269768i 0.829007 0.559238i \(-0.188906\pi\)
−0.559238 + 0.829007i \(0.688906\pi\)
\(240\) 2.16076 + 0.575432i 0.139476 + 0.0371440i
\(241\) −5.18377 + 19.3461i −0.333916 + 1.24619i 0.571124 + 0.820864i \(0.306508\pi\)
−0.905040 + 0.425327i \(0.860159\pi\)
\(242\) 13.8221i 0.888521i
\(243\) 0.965926 + 0.258819i 0.0619642 + 0.0166032i
\(244\) −2.64801 + 4.58649i −0.169522 + 0.293620i
\(245\) −7.96844 + 13.8506i −0.509085 + 0.884885i
\(246\) 8.13232i 0.518498i
\(247\) 4.75572 11.7631i 0.302599 0.748466i
\(248\) 2.51448 2.51448i 0.159669 0.159669i
\(249\) 0.834251 0.223537i 0.0528685 0.0141661i
\(250\) −5.54567 + 9.70801i −0.350739 + 0.613989i
\(251\) 2.57154 1.48468i 0.162314 0.0937120i −0.416643 0.909070i \(-0.636793\pi\)
0.578957 + 0.815358i \(0.303460\pi\)
\(252\) 3.76113 0.236929
\(253\) 24.8922 14.3715i 1.56496 0.903529i
\(254\) 11.3340 + 3.03693i 0.711157 + 0.190554i
\(255\) 0.0198106 + 12.9483i 0.00124059 + 0.810854i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −5.56761 20.7786i −0.347298 1.29613i −0.889905 0.456147i \(-0.849229\pi\)
0.542606 0.839987i \(-0.317438\pi\)
\(258\) 0.311614 0.539731i 0.0194002 0.0336022i
\(259\) 6.40359 0.397899
\(260\) 3.15983 + 7.41724i 0.195964 + 0.459998i
\(261\) 4.24469 0.262740
\(262\) −4.27873 + 7.41098i −0.264341 + 0.457852i
\(263\) −0.585863 2.18647i −0.0361259 0.134824i 0.945508 0.325600i \(-0.105566\pi\)
−0.981634 + 0.190776i \(0.938900\pi\)
\(264\) −2.49109 4.31470i −0.153316 0.265551i
\(265\) 13.4683 13.5096i 0.827350 0.829886i
\(266\) −12.7846 3.42561i −0.783872 0.210038i
\(267\) 12.0161 6.93751i 0.735374 0.424568i
\(268\) 5.38380 0.328868
\(269\) 15.4313 8.90928i 0.940864 0.543208i 0.0506331 0.998717i \(-0.483876\pi\)
0.890231 + 0.455509i \(0.150543\pi\)
\(270\) 2.15899 0.582041i 0.131392 0.0354219i
\(271\) −17.8068 + 4.77131i −1.08168 + 0.289837i −0.755286 0.655395i \(-0.772502\pi\)
−0.326399 + 0.945232i \(0.605835\pi\)
\(272\) 4.09462 4.09462i 0.248273 0.248273i
\(273\) 8.34652 + 10.6881i 0.505154 + 0.646873i
\(274\) 18.1008i 1.09351i
\(275\) 24.0423 6.52102i 1.44980 0.393232i
\(276\) 2.88458 4.99624i 0.173631 0.300738i
\(277\) −10.1048 2.70758i −0.607139 0.162683i −0.0578648 0.998324i \(-0.518429\pi\)
−0.549275 + 0.835642i \(0.685096\pi\)
\(278\) 6.08756i 0.365107i
\(279\) 0.920362 3.43484i 0.0551006 0.205638i
\(280\) 7.27696 4.21621i 0.434882 0.251967i
\(281\) 16.2537 + 16.2537i 0.969616 + 0.969616i 0.999552 0.0299357i \(-0.00953025\pi\)
−0.0299357 + 0.999552i \(0.509530\pi\)
\(282\) −2.37714 + 8.87162i −0.141557 + 0.528297i
\(283\) −30.0638 + 8.05557i −1.78711 + 0.478854i −0.991849 0.127418i \(-0.959331\pi\)
−0.795258 + 0.606272i \(0.792664\pi\)
\(284\) 2.95042 + 11.0111i 0.175075 + 0.653390i
\(285\) −7.86879 + 0.0120390i −0.466107 + 0.000713131i
\(286\) 6.73306 16.6539i 0.398134 0.984768i
\(287\) 21.6281 + 21.6281i 1.27667 + 1.27667i
\(288\) −0.866025 0.500000i −0.0510310 0.0294628i
\(289\) 14.3169 + 8.26588i 0.842172 + 0.486228i
\(290\) 8.21254 4.75828i 0.482257 0.279416i
\(291\) −12.6386 + 12.6386i −0.740888 + 0.740888i
\(292\) 2.63741 + 4.56813i 0.154343 + 0.267330i
\(293\) 0.136000 + 0.235560i 0.00794523 + 0.0137615i 0.869971 0.493103i \(-0.164138\pi\)
−0.862025 + 0.506865i \(0.830804\pi\)
\(294\) 5.05308 5.05308i 0.294702 0.294702i
\(295\) 12.3077 + 3.27765i 0.716580 + 0.190832i
\(296\) −1.47447 0.851284i −0.0857016 0.0494799i
\(297\) −4.31470 2.49109i −0.250364 0.144548i
\(298\) 8.77729 + 8.77729i 0.508455 + 0.508455i
\(299\) 20.5992 2.89023i 1.19128 0.167146i
\(300\) 3.52470 3.54634i 0.203499 0.204748i
\(301\) −0.606683 2.26417i −0.0349687 0.130505i
\(302\) −14.4056 + 3.85998i −0.828952 + 0.222117i
\(303\) 1.10804 4.13526i 0.0636552 0.237564i
\(304\) 2.48833 + 2.48833i 0.142716 + 0.142716i
\(305\) 5.93682 + 10.2466i 0.339941 + 0.586721i
\(306\) 1.49873 5.59335i 0.0856769 0.319750i
\(307\) 19.6291i 1.12029i 0.828395 + 0.560145i \(0.189255\pi\)
−0.828395 + 0.560145i \(0.810745\pi\)
\(308\) −18.1002 4.84992i −1.03135 0.276350i
\(309\) −4.07134 + 7.05177i −0.231610 + 0.401161i
\(310\) −2.06974 7.67737i −0.117553 0.436046i
\(311\) 7.66916i 0.434878i −0.976074 0.217439i \(-0.930230\pi\)
0.976074 0.217439i \(-0.0697704\pi\)
\(312\) −0.500979 3.57058i −0.0283624 0.202144i
\(313\) −7.66815 + 7.66815i −0.433429 + 0.433429i −0.889793 0.456364i \(-0.849152\pi\)
0.456364 + 0.889793i \(0.349152\pi\)
\(314\) −19.7136 + 5.28224i −1.11250 + 0.298094i
\(315\) 4.19393 7.28983i 0.236301 0.410735i
\(316\) 4.04166 2.33345i 0.227361 0.131267i
\(317\) −16.1221 −0.905509 −0.452755 0.891635i \(-0.649559\pi\)
−0.452755 + 0.891635i \(0.649559\pi\)
\(318\) −7.38820 + 4.26558i −0.414309 + 0.239202i
\(319\) −20.4272 5.47346i −1.14371 0.306455i
\(320\) −2.23607 + 0.00342112i −0.125000 + 0.000191247i
\(321\) 2.08320 + 3.60820i 0.116273 + 0.201390i
\(322\) −5.61601 20.9592i −0.312968 1.16801i
\(323\) −10.1888 + 17.6475i −0.566918 + 0.981930i
\(324\) −1.00000 −0.0555556
\(325\) 17.8995 + 2.14636i 0.992887 + 0.119059i
\(326\) 7.21863 0.399803
\(327\) 3.31744 5.74598i 0.183455 0.317753i
\(328\) −2.10480 7.85522i −0.116218 0.433732i
\(329\) 17.2722 + 29.9164i 0.952248 + 1.64934i
\(330\) −11.1405 + 0.0170447i −0.613264 + 0.000938278i
\(331\) −32.8247 8.79534i −1.80421 0.483436i −0.809584 0.587004i \(-0.800307\pi\)
−0.994622 + 0.103568i \(0.966974\pi\)
\(332\) −0.747969 + 0.431840i −0.0410501 + 0.0237003i
\(333\) −1.70257 −0.0933001
\(334\) 10.6044 6.12243i 0.580245 0.335004i
\(335\) 6.00331 10.4349i 0.327996 0.570118i
\(336\) −3.63298 + 0.973453i −0.198195 + 0.0531062i
\(337\) −20.5522 + 20.5522i −1.11955 + 1.11955i −0.127743 + 0.991807i \(0.540773\pi\)
−0.991807 + 0.127743i \(0.959227\pi\)
\(338\) 9.03483 9.34729i 0.491430 0.508425i
\(339\) 20.3938i 1.10764i
\(340\) −3.37040 12.5020i −0.182786 0.678014i
\(341\) −8.85834 + 15.3431i −0.479706 + 0.830875i
\(342\) 3.39912 + 0.910792i 0.183804 + 0.0492500i
\(343\) 0.549625i 0.0296770i
\(344\) −0.161303 + 0.601992i −0.00869689 + 0.0324572i
\(345\) −6.46721 11.1621i −0.348183 0.600945i
\(346\) 1.92409 + 1.92409i 0.103440 + 0.103440i
\(347\) 1.75339 6.54372i 0.0941267 0.351285i −0.902759 0.430147i \(-0.858462\pi\)
0.996886 + 0.0788614i \(0.0251284\pi\)
\(348\) −4.10006 + 1.09861i −0.219786 + 0.0588915i
\(349\) 2.76578 + 10.3220i 0.148049 + 0.552526i 0.999601 + 0.0282557i \(0.00899528\pi\)
−0.851552 + 0.524271i \(0.824338\pi\)
\(350\) −0.0575443 18.8056i −0.00307587 1.00520i
\(351\) −2.21915 2.84172i −0.118449 0.151680i
\(352\) 3.52294 + 3.52294i 0.187773 + 0.187773i
\(353\) 16.7759 + 9.68559i 0.892893 + 0.515512i 0.874888 0.484326i \(-0.160935\pi\)
0.0180051 + 0.999838i \(0.494268\pi\)
\(354\) −4.93287 2.84800i −0.262179 0.151369i
\(355\) 24.6317 + 6.55966i 1.30731 + 0.348151i
\(356\) −9.81111 + 9.81111i −0.519988 + 0.519988i
\(357\) −10.8897 18.8616i −0.576346 0.998260i
\(358\) −5.19092 8.99094i −0.274349 0.475186i
\(359\) −22.5724 + 22.5724i −1.19133 + 1.19133i −0.214632 + 0.976695i \(0.568855\pi\)
−0.976695 + 0.214632i \(0.931145\pi\)
\(360\) −1.93478 + 1.12100i −0.101972 + 0.0590816i
\(361\) 5.72998 + 3.30821i 0.301578 + 0.174116i
\(362\) −0.00258702 0.00149362i −0.000135971 7.85027e-5i
\(363\) 9.77373 + 9.77373i 0.512988 + 0.512988i
\(364\) −10.8284 8.16367i −0.567562 0.427892i
\(365\) 11.7948 0.0180458i 0.617371 0.000944561i
\(366\) −1.37071 5.11557i −0.0716483 0.267395i
\(367\) −15.2447 + 4.08480i −0.795766 + 0.213225i −0.633724 0.773559i \(-0.718475\pi\)
−0.162042 + 0.986784i \(0.551808\pi\)
\(368\) −1.49317 + 5.57258i −0.0778368 + 0.290491i
\(369\) −5.75042 5.75042i −0.299355 0.299355i
\(370\) −3.29409 + 1.90857i −0.171252 + 0.0992219i
\(371\) −8.30468 + 30.9935i −0.431157 + 1.60910i
\(372\) 3.55601i 0.184370i
\(373\) −12.0416 3.22653i −0.623490 0.167064i −0.0667760 0.997768i \(-0.521271\pi\)
−0.556714 + 0.830704i \(0.687938\pi\)
\(374\) −14.4251 + 24.9849i −0.745902 + 1.29194i
\(375\) −2.94322 10.7860i −0.151987 0.556986i
\(376\) 9.18458i 0.473658i
\(377\) −12.2206 9.21324i −0.629391 0.474506i
\(378\) −2.65952 + 2.65952i −0.136791 + 0.136791i
\(379\) 31.0709 8.32543i 1.59601 0.427649i 0.652173 0.758070i \(-0.273858\pi\)
0.943833 + 0.330422i \(0.107191\pi\)
\(380\) 7.59755 2.04822i 0.389746 0.105071i
\(381\) −10.1618 + 5.86690i −0.520603 + 0.300570i
\(382\) 2.78234 0.142357
\(383\) 0.837053 0.483273i 0.0427714 0.0246941i −0.478462 0.878108i \(-0.658805\pi\)
0.521233 + 0.853414i \(0.325472\pi\)
\(384\) 0.965926 + 0.258819i 0.0492922 + 0.0132078i
\(385\) −29.5831 + 29.6737i −1.50769 + 1.51231i
\(386\) −7.58514 13.1378i −0.386073 0.668699i
\(387\) 0.161303 + 0.601992i 0.00819951 + 0.0306010i
\(388\) 8.93684 15.4791i 0.453700 0.785831i
\(389\) 12.4738 0.632446 0.316223 0.948685i \(-0.397585\pi\)
0.316223 + 0.948685i \(0.397585\pi\)
\(390\) −7.47912 3.01044i −0.378720 0.152440i
\(391\) −33.4073 −1.68948
\(392\) −3.57307 + 6.18873i −0.180467 + 0.312578i
\(393\) −2.21484 8.26588i −0.111724 0.416958i
\(394\) 10.6561 + 18.4569i 0.536846 + 0.929845i
\(395\) −0.0159661 10.4355i −0.000803340 0.525067i
\(396\) 4.81242 + 1.28948i 0.241833 + 0.0647990i
\(397\) 24.9257 14.3909i 1.25099 0.722258i 0.279682 0.960093i \(-0.409771\pi\)
0.971306 + 0.237835i \(0.0764377\pi\)
\(398\) 8.15916 0.408982
\(399\) 11.4623 6.61778i 0.573834 0.331303i
\(400\) −2.48674 + 4.33776i −0.124337 + 0.216888i
\(401\) 29.8455 7.99709i 1.49042 0.399356i 0.580538 0.814233i \(-0.302842\pi\)
0.909877 + 0.414877i \(0.136176\pi\)
\(402\) −3.80692 + 3.80692i −0.189872 + 0.189872i
\(403\) −10.1052 + 7.89131i −0.503375 + 0.393094i
\(404\) 4.28113i 0.212994i
\(405\) −1.11507 + 1.93820i −0.0554083 + 0.0963099i
\(406\) −7.98243 + 13.8260i −0.396161 + 0.686171i
\(407\) 8.19347 + 2.19543i 0.406135 + 0.108824i
\(408\) 5.79066i 0.286680i
\(409\) −5.05270 + 18.8569i −0.249840 + 0.932416i 0.721049 + 0.692884i \(0.243660\pi\)
−0.970889 + 0.239531i \(0.923006\pi\)
\(410\) −17.5720 4.67960i −0.867819 0.231109i
\(411\) 12.7992 + 12.7992i 0.631339 + 0.631339i
\(412\) 2.10748 7.86522i 0.103828 0.387492i
\(413\) −20.6934 + 5.54478i −1.01826 + 0.272841i
\(414\) 1.49317 + 5.57258i 0.0733853 + 0.273878i
\(415\) 0.00295476 + 1.93124i 0.000145043 + 0.0948011i
\(416\) 1.40804 + 3.31925i 0.0690349 + 0.162740i
\(417\) −4.30455 4.30455i −0.210795 0.210795i
\(418\) −15.1836 8.76623i −0.742652 0.428770i
\(419\) −22.8482 13.1914i −1.11621 0.644442i −0.175777 0.984430i \(-0.556244\pi\)
−0.940430 + 0.339988i \(0.889577\pi\)
\(420\) −2.16428 + 8.12690i −0.105606 + 0.396552i
\(421\) 3.11591 3.11591i 0.151860 0.151860i −0.627088 0.778948i \(-0.715753\pi\)
0.778948 + 0.627088i \(0.215753\pi\)
\(422\) −13.4348 23.2697i −0.653994 1.13275i
\(423\) −4.59229 7.95408i −0.223285 0.386741i
\(424\) 6.03244 6.03244i 0.292961 0.292961i
\(425\) −27.9895 7.40806i −1.35769 0.359343i
\(426\) −9.87230 5.69977i −0.478314 0.276155i
\(427\) −17.2504 9.95953i −0.834806 0.481975i
\(428\) −2.94608 2.94608i −0.142404 0.142404i
\(429\) 7.01512 + 16.5371i 0.338693 + 0.798419i
\(430\) 0.986917 + 0.983901i 0.0475933 + 0.0474479i
\(431\) −4.64056 17.3188i −0.223528 0.834217i −0.982989 0.183664i \(-0.941204\pi\)
0.759461 0.650552i \(-0.225463\pi\)
\(432\) 0.965926 0.258819i 0.0464731 0.0124524i
\(433\) 6.90240 25.7601i 0.331708 1.23795i −0.575686 0.817671i \(-0.695265\pi\)
0.907394 0.420281i \(-0.138069\pi\)
\(434\) 9.45728 + 9.45728i 0.453964 + 0.453964i
\(435\) −2.44253 + 9.17175i −0.117110 + 0.439752i
\(436\) −1.71723 + 6.40881i −0.0822406 + 0.306926i
\(437\) 20.3019i 0.971170i
\(438\) −5.09509 1.36522i −0.243453 0.0652330i
\(439\) 1.66483 2.88358i 0.0794582 0.137626i −0.823558 0.567232i \(-0.808014\pi\)
0.903016 + 0.429606i \(0.141348\pi\)
\(440\) 10.7565 2.89983i 0.512795 0.138244i
\(441\) 7.14613i 0.340292i
\(442\) −16.4554 + 12.8503i −0.782706 + 0.611228i
\(443\) 17.4398 17.4398i 0.828592 0.828592i −0.158730 0.987322i \(-0.550740\pi\)
0.987322 + 0.158730i \(0.0507399\pi\)
\(444\) 1.64455 0.440657i 0.0780471 0.0209127i
\(445\) 8.07582 + 29.9560i 0.382831 + 1.42005i
\(446\) −14.0273 + 8.09867i −0.664212 + 0.383483i
\(447\) −12.4130 −0.587113
\(448\) 3.25724 1.88057i 0.153890 0.0888485i
\(449\) −19.0521 5.10499i −0.899123 0.240919i −0.220483 0.975391i \(-0.570763\pi\)
−0.678640 + 0.734471i \(0.737430\pi\)
\(450\) 0.0152997 + 4.99998i 0.000721235 + 0.235701i
\(451\) 20.2584 + 35.0885i 0.953929 + 1.65225i
\(452\) −5.27831 19.6989i −0.248271 0.926559i
\(453\) 7.45691 12.9157i 0.350356 0.606835i
\(454\) 21.5804 1.01282
\(455\) −27.8972 + 11.8845i −1.30784 + 0.557156i
\(456\) −3.51903 −0.164794
\(457\) 0.994792 1.72303i 0.0465344 0.0806000i −0.841820 0.539758i \(-0.818516\pi\)
0.888354 + 0.459158i \(0.151849\pi\)
\(458\) 3.45265 + 12.8855i 0.161332 + 0.602099i
\(459\) 2.89533 + 5.01486i 0.135142 + 0.234074i
\(460\) 9.13579 + 9.10788i 0.425959 + 0.424657i
\(461\) 26.2500 + 7.03368i 1.22259 + 0.327591i 0.811689 0.584090i \(-0.198549\pi\)
0.410898 + 0.911681i \(0.365215\pi\)
\(462\) 16.2282 9.36933i 0.755002 0.435901i
\(463\) 24.4623 1.13686 0.568430 0.822731i \(-0.307551\pi\)
0.568430 + 0.822731i \(0.307551\pi\)
\(464\) 3.67601 2.12235i 0.170654 0.0985274i
\(465\) 6.89225 + 3.96520i 0.319620 + 0.183882i
\(466\) −11.7855 + 3.15791i −0.545952 + 0.146287i
\(467\) 19.8875 19.8875i 0.920284 0.920284i −0.0767650 0.997049i \(-0.524459\pi\)
0.997049 + 0.0767650i \(0.0244591\pi\)
\(468\) 2.87903 + 2.17053i 0.133083 + 0.100333i
\(469\) 20.2492i 0.935020i
\(470\) −17.8015 10.2414i −0.821124 0.472403i
\(471\) 10.2045 17.6747i 0.470199 0.814408i
\(472\) 5.50190 + 1.47423i 0.253246 + 0.0678570i
\(473\) 3.10504i 0.142770i
\(474\) −1.20788 + 4.50788i −0.0554799 + 0.207054i
\(475\) 4.50194 17.0095i 0.206563 0.780448i
\(476\) 15.4004 + 15.4004i 0.705876 + 0.705876i
\(477\) 2.20803 8.24046i 0.101099 0.377305i
\(478\) 5.69703 1.52652i 0.260576 0.0698212i
\(479\) 0.684672 + 2.55523i 0.0312834 + 0.116751i 0.979802 0.199970i \(-0.0640846\pi\)
−0.948519 + 0.316722i \(0.897418\pi\)
\(480\) 1.57872 1.58356i 0.0720583 0.0722791i
\(481\) 4.90173 + 3.69548i 0.223500 + 0.168499i
\(482\) 14.1623 + 14.1623i 0.645076 + 0.645076i
\(483\) 18.7915 + 10.8493i 0.855045 + 0.493660i
\(484\) −11.9703 6.91107i −0.544106 0.314140i
\(485\) −20.0363 34.5816i −0.909803 1.57027i
\(486\) 0.707107 0.707107i 0.0320750 0.0320750i
\(487\) −11.7279 20.3134i −0.531443 0.920487i −0.999326 0.0366965i \(-0.988317\pi\)
0.467883 0.883790i \(-0.345017\pi\)
\(488\) 2.64801 + 4.58649i 0.119870 + 0.207621i
\(489\) −5.10434 + 5.10434i −0.230826 + 0.230826i
\(490\) 8.01078 + 13.8262i 0.361890 + 0.624603i
\(491\) 5.36184 + 3.09566i 0.241976 + 0.139705i 0.616085 0.787680i \(-0.288718\pi\)
−0.374108 + 0.927385i \(0.622051\pi\)
\(492\) 7.04280 + 4.06616i 0.317514 + 0.183317i
\(493\) 17.3804 + 17.3804i 0.782773 + 0.782773i
\(494\) −7.80926 10.0001i −0.351355 0.449926i
\(495\) 7.86546 7.88957i 0.353526 0.354610i
\(496\) −0.920362 3.43484i −0.0413255 0.154229i
\(497\) −41.4143 + 11.0969i −1.85769 + 0.497765i
\(498\) 0.223537 0.834251i 0.0100169 0.0373837i
\(499\) −22.7471 22.7471i −1.01830 1.01830i −0.999829 0.0184704i \(-0.994120\pi\)
−0.0184704 0.999829i \(-0.505880\pi\)
\(500\) 5.63455 + 9.65670i 0.251985 + 0.431861i
\(501\) −3.16920 + 11.8276i −0.141590 + 0.528419i
\(502\) 2.96935i 0.132529i
\(503\) 20.8211 + 5.57901i 0.928369 + 0.248756i 0.691159 0.722703i \(-0.257100\pi\)
0.237210 + 0.971458i \(0.423767\pi\)
\(504\) 1.88057 3.25724i 0.0837671 0.145089i
\(505\) 8.29769 + 4.77376i 0.369242 + 0.212430i
\(506\) 28.7430i 1.27778i
\(507\) 0.220937 + 12.9981i 0.00981216 + 0.577267i
\(508\) 8.29705 8.29705i 0.368122 0.368122i
\(509\) 7.66864 2.05481i 0.339907 0.0910777i −0.0848280 0.996396i \(-0.527034\pi\)
0.424735 + 0.905318i \(0.360367\pi\)
\(510\) 11.2235 + 6.45699i 0.496983 + 0.285920i
\(511\) −17.1814 + 9.91966i −0.760058 + 0.438820i
\(512\) −1.00000 −0.0441942
\(513\) −3.04757 + 1.75952i −0.134554 + 0.0776845i
\(514\) −20.7786 5.56761i −0.916505 0.245577i
\(515\) −12.8944 12.8550i −0.568195 0.566459i
\(516\) −0.311614 0.539731i −0.0137180 0.0237603i
\(517\) 11.8434 + 44.2000i 0.520871 + 1.94392i
\(518\) 3.20179 5.54567i 0.140679 0.243663i
\(519\) −2.72108 −0.119442
\(520\) 8.00343 + 0.972128i 0.350974 + 0.0426306i
\(521\) −5.20619 −0.228087 −0.114044 0.993476i \(-0.536380\pi\)
−0.114044 + 0.993476i \(0.536380\pi\)
\(522\) 2.12235 3.67601i 0.0928925 0.160895i
\(523\) −6.83174 25.4964i −0.298731 1.11488i −0.938209 0.346070i \(-0.887516\pi\)
0.639478 0.768809i \(-0.279151\pi\)
\(524\) 4.27873 + 7.41098i 0.186917 + 0.323750i
\(525\) 13.3382 + 13.2569i 0.582129 + 0.578577i
\(526\) −2.18647 0.585863i −0.0953346 0.0255448i
\(527\) 17.8329 10.2958i 0.776812 0.448493i
\(528\) −4.98218 −0.216822
\(529\) 8.90555 5.14162i 0.387198 0.223549i
\(530\) −4.96548 18.4187i −0.215687 0.800055i
\(531\) 5.50190 1.47423i 0.238762 0.0639762i
\(532\) −9.35895 + 9.35895i −0.405762 + 0.405762i
\(533\) 4.07413 + 29.0371i 0.176470 + 1.25774i
\(534\) 13.8750i 0.600430i
\(535\) −8.99519 + 2.42501i −0.388896 + 0.104842i
\(536\) 2.69190 4.66250i 0.116272 0.201390i
\(537\) 10.0281 + 2.68702i 0.432744 + 0.115953i
\(538\) 17.8186i 0.768212i
\(539\) 9.21482 34.3902i 0.396910 1.48129i
\(540\) 0.575432 2.16076i 0.0247626 0.0929843i
\(541\) −11.8712 11.8712i −0.510382 0.510382i 0.404261 0.914644i \(-0.367529\pi\)
−0.914644 + 0.404261i \(0.867529\pi\)
\(542\) −4.77131 + 17.8068i −0.204945 + 0.764867i
\(543\) 0.00288545 0.000773153i 0.000123826 3.31792e-5i
\(544\) −1.49873 5.59335i −0.0642577 0.239813i
\(545\) 10.5067 + 10.4746i 0.450058 + 0.448683i
\(546\) 13.4294 1.88425i 0.574726 0.0806385i
\(547\) 21.6851 + 21.6851i 0.927187 + 0.927187i 0.997523 0.0703361i \(-0.0224072\pi\)
−0.0703361 + 0.997523i \(0.522407\pi\)
\(548\) −15.6758 9.05042i −0.669637 0.386615i
\(549\) 4.58649 + 2.64801i 0.195747 + 0.113014i
\(550\) 6.37376 24.0817i 0.271778 1.02685i
\(551\) −10.5622 + 10.5622i −0.449965 + 0.449965i
\(552\) −2.88458 4.99624i −0.122776 0.212654i
\(553\) 8.77643 + 15.2012i 0.373212 + 0.646422i
\(554\) −7.39724 + 7.39724i −0.314278 + 0.314278i
\(555\) 0.979711 3.67884i 0.0415864 0.156158i
\(556\) 5.27198 + 3.04378i 0.223582 + 0.129085i
\(557\) 3.30540 + 1.90837i 0.140054 + 0.0808603i 0.568390 0.822759i \(-0.307567\pi\)
−0.428336 + 0.903620i \(0.640900\pi\)
\(558\) −2.51448 2.51448i −0.106446 0.106446i
\(559\) 0.842248 2.08326i 0.0356233 0.0881127i
\(560\) −0.0128673 8.41014i −0.000543743 0.355393i
\(561\) −7.46696 27.8671i −0.315255 1.17655i
\(562\) 22.2030 5.94928i 0.936577 0.250955i
\(563\) 1.09024 4.06884i 0.0459482 0.171481i −0.939139 0.343538i \(-0.888375\pi\)
0.985087 + 0.172057i \(0.0550413\pi\)
\(564\) 6.49448 + 6.49448i 0.273467 + 0.273467i
\(565\) −44.0661 11.7353i −1.85388 0.493706i
\(566\) −8.05557 + 30.0638i −0.338601 + 1.26368i
\(567\) 3.76113i 0.157953i
\(568\) 11.0111 + 2.95042i 0.462016 + 0.123797i
\(569\) 10.2866 17.8168i 0.431235 0.746921i −0.565745 0.824580i \(-0.691411\pi\)
0.996980 + 0.0776595i \(0.0247447\pi\)
\(570\) −3.92397 + 6.82059i −0.164357 + 0.285683i
\(571\) 0.531359i 0.0222367i 0.999938 + 0.0111183i \(0.00353915\pi\)
−0.999938 + 0.0111183i \(0.996461\pi\)
\(572\) −11.0562 14.1580i −0.462283 0.591975i
\(573\) −1.96741 + 1.96741i −0.0821898 + 0.0821898i
\(574\) 29.5445 7.91644i 1.23317 0.330426i
\(575\) 27.8399 7.55107i 1.16101 0.314901i
\(576\) −0.866025 + 0.500000i −0.0360844 + 0.0208333i
\(577\) 10.8877 0.453261 0.226630 0.973981i \(-0.427229\pi\)
0.226630 + 0.973981i \(0.427229\pi\)
\(578\) 14.3169 8.26588i 0.595505 0.343815i
\(579\) 14.6534 + 3.92636i 0.608973 + 0.163174i
\(580\) −0.0145216 9.49140i −0.000602977 0.394109i
\(581\) −1.62421 2.81321i −0.0673835 0.116712i
\(582\) 4.62605 + 17.2647i 0.191756 + 0.715643i
\(583\) −21.2519 + 36.8093i −0.880163 + 1.52449i
\(584\) 5.27482 0.218274
\(585\) 7.41724 3.15983i 0.306665 0.130643i
\(586\) 0.272001 0.0112363
\(587\) −4.94658 + 8.56772i −0.204167 + 0.353628i −0.949867 0.312654i \(-0.898782\pi\)
0.745700 + 0.666282i \(0.232115\pi\)
\(588\) −1.84956 6.90263i −0.0762744 0.284660i
\(589\) 6.25685 + 10.8372i 0.257809 + 0.446538i
\(590\) 8.99236 9.01992i 0.370210 0.371344i
\(591\) −20.5860 5.51600i −0.846795 0.226898i
\(592\) −1.47447 + 0.851284i −0.0606002 + 0.0349875i
\(593\) 16.3568 0.671694 0.335847 0.941916i \(-0.390977\pi\)
0.335847 + 0.941916i \(0.390977\pi\)
\(594\) −4.31470 + 2.49109i −0.177034 + 0.102211i
\(595\) 47.0216 12.6765i 1.92770 0.519687i
\(596\) 11.9900 3.21271i 0.491129 0.131598i
\(597\) −5.76940 + 5.76940i −0.236126 + 0.236126i
\(598\) 7.79661 19.2846i 0.318827 0.788605i
\(599\) 4.71267i 0.192554i 0.995355 + 0.0962772i \(0.0306935\pi\)
−0.995355 + 0.0962772i \(0.969306\pi\)
\(600\) −1.30887 4.82565i −0.0534343 0.197006i
\(601\) 7.92625 13.7287i 0.323318 0.560004i −0.657852 0.753147i \(-0.728535\pi\)
0.981171 + 0.193143i \(0.0618682\pi\)
\(602\) −2.26417 0.606683i −0.0922808 0.0247266i
\(603\) 5.38380i 0.219245i
\(604\) −3.85998 + 14.4056i −0.157060 + 0.586157i
\(605\) −26.7428 + 15.4946i −1.08725 + 0.629943i
\(606\) −3.02722 3.02722i −0.122972 0.122972i
\(607\) 1.00645 3.75611i 0.0408504 0.152456i −0.942488 0.334240i \(-0.891520\pi\)
0.983338 + 0.181784i \(0.0581872\pi\)
\(608\) 3.39912 0.910792i 0.137853 0.0369375i
\(609\) −4.13201 15.4209i −0.167437 0.624885i
\(610\) 11.8423 0.0181184i 0.479479 0.000733591i
\(611\) −4.04328 + 32.8677i −0.163573 + 1.32969i
\(612\) −4.09462 4.09462i −0.165515 0.165515i
\(613\) −25.1148 14.5000i −1.01438 0.585651i −0.101906 0.994794i \(-0.532494\pi\)
−0.912470 + 0.409143i \(0.865828\pi\)
\(614\) 16.9993 + 9.81453i 0.686035 + 0.396082i
\(615\) 15.7342 9.11630i 0.634466 0.367605i
\(616\) −13.2502 + 13.2502i −0.533867 + 0.533867i
\(617\) −0.289643 0.501676i −0.0116606 0.0201967i 0.860136 0.510064i \(-0.170378\pi\)
−0.871797 + 0.489868i \(0.837045\pi\)
\(618\) 4.07134 + 7.05177i 0.163773 + 0.283664i
\(619\) 0.846805 0.846805i 0.0340360 0.0340360i −0.689884 0.723920i \(-0.742338\pi\)
0.723920 + 0.689884i \(0.242338\pi\)
\(620\) −7.68367 2.04624i −0.308584 0.0821789i
\(621\) −4.99624 2.88458i −0.200492 0.115754i
\(622\) −6.64169 3.83458i −0.266307 0.153753i
\(623\) −36.9009 36.9009i −1.47840 1.47840i
\(624\) −3.34270 1.35143i −0.133815 0.0541004i
\(625\) 24.9995 0.152996i 0.999981 0.00611986i
\(626\) 2.80674 + 10.4749i 0.112180 + 0.418660i
\(627\) 16.9351 4.53773i 0.676321 0.181220i
\(628\) −5.28224 + 19.7136i −0.210784 + 0.786658i
\(629\) −6.97136 6.97136i −0.277966 0.277966i
\(630\) −4.21621 7.27696i −0.167978 0.289921i
\(631\) 5.89718 22.0086i 0.234763 0.876147i −0.743493 0.668744i \(-0.766832\pi\)
0.978256 0.207403i \(-0.0665012\pi\)
\(632\) 4.66690i 0.185640i
\(633\) 25.9540 + 6.95434i 1.03158 + 0.276410i
\(634\) −8.06107 + 13.9622i −0.320146 + 0.554509i
\(635\) −6.82955 25.3331i −0.271022 1.00531i
\(636\) 8.53115i 0.338282i
\(637\) 15.5109 20.5739i 0.614565 0.815167i
\(638\) −14.9538 + 14.9538i −0.592025 + 0.592025i
\(639\) 11.0111 2.95042i 0.435593 0.116717i
\(640\) −1.11507 + 1.93820i −0.0440770 + 0.0766141i
\(641\) 27.3666 15.8001i 1.08092 0.624067i 0.149773 0.988720i \(-0.452146\pi\)
0.931144 + 0.364653i \(0.118812\pi\)
\(642\) 4.16639 0.164434
\(643\) 18.2698 10.5481i 0.720491 0.415976i −0.0944423 0.995530i \(-0.530107\pi\)
0.814933 + 0.579555i \(0.196773\pi\)
\(644\) −20.9592 5.61601i −0.825910 0.221302i
\(645\) −1.39358 + 0.00213214i −0.0548721 + 8.39529e-5i
\(646\) 10.1888 + 17.6475i 0.400871 + 0.694330i
\(647\) −3.53543 13.1944i −0.138992 0.518726i −0.999950 0.0100486i \(-0.996801\pi\)
0.860957 0.508677i \(-0.169865\pi\)
\(648\) −0.500000 + 0.866025i −0.0196419 + 0.0340207i
\(649\) −28.3785 −1.11395
\(650\) 10.8086 14.4283i 0.423947 0.565923i
\(651\) −13.3746 −0.524193
\(652\) 3.60932 6.25152i 0.141352 0.244828i
\(653\) −13.0687 48.7729i −0.511416 1.90863i −0.405024 0.914306i \(-0.632737\pi\)
−0.106392 0.994324i \(-0.533930\pi\)
\(654\) −3.31744 5.74598i −0.129722 0.224686i
\(655\) 19.1351 0.0292761i 0.747668 0.00114391i
\(656\) −7.85522 2.10480i −0.306695 0.0821786i
\(657\) 4.56813 2.63741i 0.178220 0.102895i
\(658\) 34.5444 1.34668
\(659\) −24.7744 + 14.3035i −0.965072 + 0.557184i −0.897730 0.440546i \(-0.854785\pi\)
−0.0673415 + 0.997730i \(0.521452\pi\)
\(660\) −5.55548 + 9.65647i −0.216247 + 0.375877i
\(661\) 14.3142 3.83548i 0.556758 0.149183i 0.0305416 0.999533i \(-0.490277\pi\)
0.526217 + 0.850351i \(0.323610\pi\)
\(662\) −24.0293 + 24.0293i −0.933926 + 0.933926i
\(663\) 2.54919 20.7223i 0.0990024 0.804788i
\(664\) 0.863680i 0.0335173i
\(665\) 7.70363 + 28.5754i 0.298734 + 1.10811i
\(666\) −0.851284 + 1.47447i −0.0329866 + 0.0571344i
\(667\) −23.6539 6.33804i −0.915882 0.245410i
\(668\) 12.2449i 0.473768i
\(669\) 4.19218 15.6454i 0.162079 0.604887i
\(670\) −6.03521 10.4165i −0.233161 0.402423i
\(671\) −18.6576 18.6576i −0.720267 0.720267i
\(672\) −0.973453 + 3.63298i −0.0375518 + 0.140145i
\(673\) 3.67407 0.984464i 0.141625 0.0379483i −0.187310 0.982301i \(-0.559977\pi\)
0.328935 + 0.944353i \(0.393310\pi\)
\(674\) 7.52263 + 28.0748i 0.289761 + 1.08140i
\(675\) −3.54634 3.52470i −0.136499 0.135666i
\(676\) −3.57757 12.4980i −0.137599 0.480694i
\(677\) −10.7203 10.7203i −0.412015 0.412015i 0.470425 0.882440i \(-0.344101\pi\)
−0.882440 + 0.470425i \(0.844101\pi\)
\(678\) 17.6616 + 10.1969i 0.678288 + 0.391610i
\(679\) 58.2189 + 33.6127i 2.23423 + 1.28994i
\(680\) −12.5122 3.33213i −0.479822 0.127781i
\(681\) −15.2596 + 15.2596i −0.584750 + 0.584750i
\(682\) 8.85834 + 15.3431i 0.339203 + 0.587517i
\(683\) 7.89765 + 13.6791i 0.302195 + 0.523417i 0.976633 0.214914i \(-0.0689472\pi\)
−0.674438 + 0.738332i \(0.735614\pi\)
\(684\) 2.48833 2.48833i 0.0951437 0.0951437i
\(685\) −35.0211 + 20.2910i −1.33809 + 0.775278i
\(686\) −0.475989 0.274813i −0.0181734 0.0104924i
\(687\) −11.5528 6.67001i −0.440767 0.254477i
\(688\) 0.440689 + 0.440689i 0.0168011 + 0.0168011i
\(689\) −24.2432 + 18.9319i −0.923591 + 0.721248i
\(690\) −12.9002 + 0.0197370i −0.491103 + 0.000751375i
\(691\) −3.09521 11.5515i −0.117747 0.439439i 0.881731 0.471753i \(-0.156379\pi\)
−0.999478 + 0.0323148i \(0.989712\pi\)
\(692\) 2.62836 0.704267i 0.0999153 0.0267722i
\(693\) −4.84992 + 18.1002i −0.184233 + 0.687568i
\(694\) −4.79034 4.79034i −0.181839 0.181839i
\(695\) 11.7781 6.82413i 0.446768 0.258854i
\(696\) −1.09861 + 4.10006i −0.0416426 + 0.155412i
\(697\) 47.0915i 1.78372i
\(698\) 10.3220 + 2.76578i 0.390695 + 0.104686i
\(699\) 6.10061 10.5666i 0.230746 0.399664i
\(700\) −16.3149 9.35296i −0.616645 0.353509i
\(701\) 22.5243i 0.850729i −0.905022 0.425365i \(-0.860146\pi\)
0.905022 0.425365i \(-0.139854\pi\)
\(702\) −3.57058 + 0.500979i −0.134763 + 0.0189082i
\(703\) 4.23655 4.23655i 0.159785 0.159785i
\(704\) 4.81242 1.28948i 0.181375 0.0485992i
\(705\) 19.8294 5.34580i 0.746818 0.201334i
\(706\) 16.7759 9.68559i 0.631370 0.364522i
\(707\) −16.1019 −0.605575
\(708\) −4.93287 + 2.84800i −0.185389 + 0.107034i
\(709\) 4.86426 + 1.30338i 0.182681 + 0.0489493i 0.349000 0.937123i \(-0.386521\pi\)
−0.166319 + 0.986072i \(0.553188\pi\)
\(710\) 17.9967 18.0518i 0.675403 0.677473i
\(711\) −2.33345 4.04166i −0.0875113 0.151574i
\(712\) 3.59112 + 13.4022i 0.134583 + 0.502270i
\(713\) −10.2576 + 17.7667i −0.384150 + 0.665367i
\(714\) −21.7795 −0.815076
\(715\) −39.7694 + 5.64201i −1.48729 + 0.210999i
\(716\) −10.3818 −0.387988
\(717\) −2.94900 + 5.10782i −0.110132 + 0.190755i
\(718\) 8.26208 + 30.8345i 0.308338 + 1.15073i
\(719\) −17.5027 30.3156i −0.652741 1.13058i −0.982455 0.186500i \(-0.940286\pi\)
0.329714 0.944081i \(-0.393048\pi\)
\(720\) 0.00342112 + 2.23607i 0.000127498 + 0.0833332i
\(721\) 29.5822 + 7.92652i 1.10170 + 0.295199i
\(722\) 5.72998 3.30821i 0.213248 0.123119i
\(723\) −20.0285 −0.744870
\(724\) −0.00258702 + 0.00149362i −9.61458e−5 + 5.55098e-5i
\(725\) −18.4124 10.5554i −0.683821 0.392019i
\(726\) 13.3512 3.57743i 0.495508 0.132771i
\(727\) −23.3980 + 23.3980i −0.867783 + 0.867783i −0.992227 0.124444i \(-0.960285\pi\)
0.124444 + 0.992227i \(0.460285\pi\)
\(728\) −12.4841 + 5.29584i −0.462693 + 0.196277i
\(729\) 1.00000i 0.0370370i
\(730\) 5.88180 10.2237i 0.217695 0.378395i
\(731\) −1.80445 + 3.12540i −0.0667400 + 0.115597i
\(732\) −5.11557 1.37071i −0.189077 0.0506630i
\(733\) 4.64195i 0.171454i −0.996319 0.0857271i \(-0.972679\pi\)
0.996319 0.0857271i \(-0.0273213\pi\)
\(734\) −4.08480 + 15.2447i −0.150773 + 0.562692i
\(735\) −15.4411 4.11211i −0.569552 0.151678i
\(736\) 4.07941 + 4.07941i 0.150369 + 0.150369i
\(737\) −6.94232 + 25.9091i −0.255724 + 0.954373i
\(738\) −7.85522 + 2.10480i −0.289155 + 0.0774788i
\(739\) 10.1270 + 37.7945i 0.372528 + 1.39029i 0.856923 + 0.515444i \(0.172373\pi\)
−0.484396 + 0.874849i \(0.660960\pi\)
\(740\) 0.00582469 + 3.80705i 0.000214120 + 0.139950i
\(741\) 12.5931 + 1.54916i 0.462620 + 0.0569100i
\(742\) 22.6888 + 22.6888i 0.832932 + 0.832932i
\(743\) −3.38967 1.95703i −0.124355 0.0717964i 0.436532 0.899689i \(-0.356207\pi\)
−0.560887 + 0.827892i \(0.689540\pi\)
\(744\) 3.07959 + 1.77800i 0.112903 + 0.0651848i
\(745\) 7.14281 26.8214i 0.261692 0.982660i
\(746\) −8.81505 + 8.81505i −0.322742 + 0.322742i
\(747\) 0.431840 + 0.747969i 0.0158002 + 0.0273667i
\(748\) 14.4251 + 24.9849i 0.527433 + 0.913540i
\(749\) 11.0806 11.0806i 0.404877 0.404877i
\(750\) −10.8125 2.84409i −0.394818 0.103851i
\(751\) 27.1308 + 15.6640i 0.990018 + 0.571587i 0.905280 0.424816i \(-0.139661\pi\)
0.0847385 + 0.996403i \(0.472995\pi\)
\(752\) −7.95408 4.59229i −0.290055 0.167464i
\(753\) 2.09965 + 2.09965i 0.0765155 + 0.0765155i
\(754\) −14.0892 + 5.97670i −0.513098 + 0.217659i
\(755\) 23.6169 + 23.5447i 0.859506 + 0.856880i
\(756\) 0.973453 + 3.63298i 0.0354042 + 0.132130i
\(757\) −19.6990 + 5.27833i −0.715973 + 0.191844i −0.598374 0.801217i \(-0.704186\pi\)
−0.117599 + 0.993061i \(0.537520\pi\)
\(758\) 8.32543 31.0709i 0.302393 1.12855i
\(759\) 20.3244 + 20.3244i 0.737729 + 0.737729i
\(760\) 2.02496 7.60378i 0.0734531 0.275818i
\(761\) −3.01185 + 11.2404i −0.109180 + 0.407464i −0.998786 0.0492648i \(-0.984312\pi\)
0.889606 + 0.456728i \(0.150979\pi\)
\(762\) 11.7338i 0.425071i
\(763\) −24.1044 6.45875i −0.872637 0.233822i
\(764\) 1.39117 2.40958i 0.0503308 0.0871755i
\(765\) −12.5020 + 3.37040i −0.452010 + 0.121857i
\(766\) 0.966546i 0.0349227i
\(767\) −19.0400 7.69772i −0.687494 0.277949i
\(768\) 0.707107 0.707107i 0.0255155 0.0255155i
\(769\) −25.8288 + 6.92080i −0.931409