Properties

Label 390.2.bd.b.253.2
Level $390$
Weight $2$
Character 390.253
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.bd (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 253.2
Root \(-0.424637 - 3.22544i\) of defining polynomial
Character \(\chi\) \(=\) 390.253
Dual form 390.2.bd.b.37.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.00342112 + 2.23607i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-1.88057 - 3.25724i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.00342112 + 2.23607i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-1.88057 - 3.25724i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +(1.12100 - 1.93478i) q^{10} +(4.81242 - 1.28948i) q^{11} +(-0.707107 - 0.707107i) q^{12} +(-0.440224 + 3.57858i) q^{13} +3.76113i q^{14} +(-0.575432 - 2.16076i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.49873 + 5.59335i) q^{17} -1.00000 q^{18} +(-0.910792 + 3.39912i) q^{19} +(-1.93820 + 1.11507i) q^{20} +(2.65952 + 2.65952i) q^{21} +(-4.81242 - 1.28948i) q^{22} +(1.49317 + 5.57258i) 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} +(1.88057 - 3.25724i) q^{28} +(3.67601 + 2.12235i) q^{29} +(-0.582041 + 2.15899i) q^{30} +(-2.51448 + 2.51448i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-4.31470 + 2.49109i) q^{33} +(4.09462 - 4.09462i) q^{34} +(7.28983 - 4.19393i) q^{35} +(0.866025 + 0.500000i) q^{36} +(0.851284 - 1.47447i) 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} +(-0.973453 - 3.63298i) q^{42} +(0.601992 + 0.161303i) q^{43} +(3.52294 + 3.52294i) q^{44} +(1.11507 + 1.93820i) q^{45} +(1.49317 - 5.57258i) q^{46} +9.18458 q^{47} +(0.258819 - 0.965926i) q^{48} +(-3.57307 + 6.18873i) q^{49} +(4.32246 + 2.51324i) q^{50} -5.79066i q^{51} +(-3.31925 + 1.40804i) q^{52} +(-6.03244 - 6.03244i) q^{53} +(0.965926 - 0.258819i) q^{54} +(2.86691 + 10.7653i) q^{55} +(-3.25724 + 1.88057i) q^{56} -3.51903i q^{57} +(-2.12235 - 3.67601i) q^{58} +(5.50190 + 1.47423i) q^{59} +(1.58356 - 1.57872i) q^{60} +(-2.64801 - 4.58649i) q^{61} +(3.43484 - 0.920362i) q^{62} +(-3.25724 - 1.88057i) q^{63} -1.00000 q^{64} +(-8.00042 - 0.996613i) q^{65} +4.98218 q^{66} +(4.66250 + 2.69190i) q^{67} +(-5.59335 + 1.49873i) q^{68} +(-2.88458 - 4.99624i) q^{69} +(-8.41014 - 0.0128673i) q^{70} +(-11.0111 - 2.95042i) q^{71} +(-0.500000 - 0.866025i) q^{72} -5.27482i q^{73} +(-1.47447 + 0.851284i) q^{74} +(4.83357 - 1.27931i) q^{75} +(-3.39912 + 0.910792i) q^{76} +(-13.2502 - 13.2502i) q^{77} +(-1.35143 + 3.34270i) q^{78} -4.66690i q^{79} +(-1.93478 - 1.12100i) q^{80} +(0.500000 - 0.866025i) q^{81} +(2.10480 - 7.85522i) q^{82} +0.863680 q^{83} +(-0.973453 + 3.63298i) q^{84} +(-12.5020 - 3.37040i) q^{85} +(-0.440689 - 0.440689i) q^{86} +(-4.10006 - 1.09861i) q^{87} +(-1.28948 - 4.81242i) 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} +(1.77800 - 3.07959i) q^{93} +(-7.95408 - 4.59229i) q^{94} +(-7.59755 - 2.04822i) q^{95} +(-0.707107 + 0.707107i) q^{96} +(15.4791 - 8.93684i) q^{97} +(6.18873 - 3.57307i) q^{98} +(3.52294 - 3.52294i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −0.965926 + 0.258819i −0.557678 + 0.149429i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.00342112 + 2.23607i −0.00152997 + 0.999999i
\(6\) 0.965926 + 0.258819i 0.394338 + 0.105662i
\(7\) −1.88057 3.25724i −0.710788 1.23112i −0.964562 0.263857i \(-0.915005\pi\)
0.253774 0.967263i \(-0.418328\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.866025 0.500000i 0.288675 0.166667i
\(10\) 1.12100 1.93478i 0.354490 0.611831i
\(11\) 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
\(13\) −0.440224 + 3.57858i −0.122096 + 0.992518i
\(14\) 3.76113i 1.00521i
\(15\) −0.575432 2.16076i −0.148576 0.557906i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.49873 + 5.59335i −0.363496 + 1.35659i 0.505952 + 0.862562i \(0.331141\pi\)
−0.869448 + 0.494025i \(0.835525\pi\)
\(18\) −1.00000 −0.235702
\(19\) −0.910792 + 3.39912i −0.208950 + 0.779812i 0.779259 + 0.626702i \(0.215596\pi\)
−0.988209 + 0.153110i \(0.951071\pi\)
\(20\) −1.93820 + 1.11507i −0.433395 + 0.249337i
\(21\) 2.65952 + 2.65952i 0.580356 + 0.580356i
\(22\) −4.81242 1.28948i −1.02601 0.274919i
\(23\) 1.49317 + 5.57258i 0.311347 + 1.16196i 0.927342 + 0.374214i \(0.122087\pi\)
−0.615995 + 0.787750i \(0.711246\pi\)
\(24\) 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
\(28\) 1.88057 3.25724i 0.355394 0.615560i
\(29\) 3.67601 + 2.12235i 0.682618 + 0.394110i 0.800841 0.598877i \(-0.204386\pi\)
−0.118223 + 0.992987i \(0.537720\pi\)
\(30\) −0.582041 + 2.15899i −0.106266 + 0.394175i
\(31\) −2.51448 + 2.51448i −0.451613 + 0.451613i −0.895890 0.444276i \(-0.853461\pi\)
0.444276 + 0.895890i \(0.353461\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −4.31470 + 2.49109i −0.751092 + 0.433643i
\(34\) 4.09462 4.09462i 0.702221 0.702221i
\(35\) 7.28983 4.19393i 1.23221 0.708903i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 0.851284 1.47447i 0.139950 0.242401i −0.787527 0.616280i \(-0.788639\pi\)
0.927478 + 0.373879i \(0.121972\pi\)
\(38\) 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 \(0.697655\pi\)
\(42\) −0.973453 3.63298i −0.150207 0.560581i
\(43\) 0.601992 + 0.161303i 0.0918029 + 0.0245985i 0.304428 0.952535i \(-0.401535\pi\)
−0.212625 + 0.977134i \(0.568201\pi\)
\(44\) 3.52294 + 3.52294i 0.531102 + 0.531102i
\(45\) 1.11507 + 1.93820i 0.166225 + 0.288930i
\(46\) 1.49317 5.57258i 0.220156 0.821633i
\(47\) 9.18458 1.33971 0.669854 0.742493i \(-0.266357\pi\)
0.669854 + 0.742493i \(0.266357\pi\)
\(48\) 0.258819 0.965926i 0.0373573 0.139419i
\(49\) −3.57307 + 6.18873i −0.510438 + 0.884105i
\(50\) 4.32246 + 2.51324i 0.611288 + 0.355426i
\(51\) 5.79066i 0.810855i
\(52\) −3.31925 + 1.40804i −0.460297 + 0.195260i
\(53\) −6.03244 6.03244i −0.828619 0.828619i 0.158707 0.987326i \(-0.449268\pi\)
−0.987326 + 0.158707i \(0.949268\pi\)
\(54\) 0.965926 0.258819i 0.131446 0.0352208i
\(55\) 2.86691 + 10.7653i 0.386574 + 1.45159i
\(56\) −3.25724 + 1.88057i −0.435267 + 0.251301i
\(57\) 3.51903i 0.466107i
\(58\) −2.12235 3.67601i −0.278678 0.482684i
\(59\) 5.50190 + 1.47423i 0.716287 + 0.191928i 0.598514 0.801112i \(-0.295758\pi\)
0.117773 + 0.993041i \(0.462425\pi\)
\(60\) 1.58356 1.57872i 0.204436 0.203812i
\(61\) −2.64801 4.58649i −0.339043 0.587240i 0.645210 0.764005i \(-0.276770\pi\)
−0.984253 + 0.176765i \(0.943437\pi\)
\(62\) 3.43484 0.920362i 0.436225 0.116886i
\(63\) −3.25724 1.88057i −0.410373 0.236929i
\(64\) −1.00000 −0.125000
\(65\) −8.00042 0.996613i −0.992330 0.123615i
\(66\) 4.98218 0.613264
\(67\) 4.66250 + 2.69190i 0.569616 + 0.328868i 0.756996 0.653420i \(-0.226666\pi\)
−0.187380 + 0.982287i \(0.560000\pi\)
\(68\) −5.59335 + 1.49873i −0.678293 + 0.181748i
\(69\) −2.88458 4.99624i −0.347263 0.601477i
\(70\) −8.41014 0.0128673i −1.00520 0.00153794i
\(71\) −11.0111 2.95042i −1.30678 0.350150i −0.462770 0.886479i \(-0.653144\pi\)
−0.844010 + 0.536328i \(0.819811\pi\)
\(72\) −0.500000 0.866025i −0.0589256 0.102062i
\(73\) 5.27482i 0.617371i −0.951164 0.308686i \(-0.900111\pi\)
0.951164 0.308686i \(-0.0998891\pi\)
\(74\) −1.47447 + 0.851284i −0.171403 + 0.0989597i
\(75\) 4.83357 1.27931i 0.558132 0.147722i
\(76\) −3.39912 + 0.910792i −0.389906 + 0.104475i
\(77\) −13.2502 13.2502i −1.51000 1.51000i
\(78\) −1.35143 + 3.34270i −0.153019 + 0.378486i
\(79\) 4.66690i 0.525068i −0.964923 0.262534i \(-0.915442\pi\)
0.964923 0.262534i \(-0.0845582\pi\)
\(80\) −1.93478 1.12100i −0.216315 0.125331i
\(81\) 0.500000 0.866025i 0.0555556 0.0962250i
\(82\) 2.10480 7.85522i 0.232436 0.867464i
\(83\) 0.863680 0.0948012 0.0474006 0.998876i \(-0.484906\pi\)
0.0474006 + 0.998876i \(0.484906\pi\)
\(84\) −0.973453 + 3.63298i −0.106212 + 0.396390i
\(85\) −12.5020 3.37040i −1.35603 0.365571i
\(86\) −0.440689 0.440689i −0.0475207 0.0475207i
\(87\) −4.10006 1.09861i −0.439572 0.117783i
\(88\) −1.28948 4.81242i −0.137459 0.513006i
\(89\) 3.59112 + 13.4022i 0.380658 + 1.42063i 0.844899 + 0.534925i \(0.179660\pi\)
−0.464242 + 0.885709i \(0.653673\pi\)
\(90\) 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
\(93\) 1.77800 3.07959i 0.184370 0.319339i
\(94\) −7.95408 4.59229i −0.820401 0.473658i
\(95\) −7.59755 2.04822i −0.779492 0.210143i
\(96\) −0.707107 + 0.707107i −0.0721688 + 0.0721688i
\(97\) 15.4791 8.93684i 1.57166 0.907399i 0.575696 0.817664i \(-0.304731\pi\)
0.995966 0.0897349i \(-0.0286020\pi\)
\(98\) 6.18873 3.57307i 0.625156 0.360934i
\(99\) 3.52294 3.52294i 0.354068 0.354068i
\(100\) −2.48674 4.33776i −0.248674 0.433776i
\(101\) −3.70757 2.14057i −0.368917 0.212994i 0.304068 0.952650i \(-0.401655\pi\)
−0.672985 + 0.739656i \(0.734988\pi\)
\(102\) −2.89533 + 5.01486i −0.286680 + 0.496545i
\(103\) −5.75774 + 5.75774i −0.567327 + 0.567327i −0.931379 0.364052i \(-0.881393\pi\)
0.364052 + 0.931379i \(0.381393\pi\)
\(104\) 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
\(107\) −1.07834 4.02443i −0.104247 0.389056i 0.894011 0.448044i \(-0.147879\pi\)
−0.998259 + 0.0589882i \(0.981213\pi\)
\(108\) −0.965926 0.258819i −0.0929463 0.0249049i
\(109\) 4.69157 + 4.69157i 0.449371 + 0.449371i 0.895145 0.445774i \(-0.147072\pi\)
−0.445774 + 0.895145i \(0.647072\pi\)
\(110\) 2.89983 10.7565i 0.276488 1.02559i
\(111\) −0.440657 + 1.64455i −0.0418253 + 0.156094i
\(112\) 3.76113 0.355394
\(113\) −5.27831 + 19.6989i −0.496542 + 1.85312i 0.0246772 + 0.999695i \(0.492144\pi\)
−0.521219 + 0.853423i \(0.674522\pi\)
\(114\) −1.75952 + 3.04757i −0.164794 + 0.285431i
\(115\) −12.4658 + 3.31976i −1.16244 + 0.309569i
\(116\) 4.24469i 0.394110i
\(117\) 1.40804 + 3.31925i 0.130174 + 0.306865i
\(118\) −4.02767 4.02767i −0.370777 0.370777i
\(119\) 21.0373 5.63694i 1.92849 0.516737i
\(120\) −2.16076 + 0.575432i −0.197249 + 0.0525295i
\(121\) 11.9703 6.91107i 1.08821 0.628279i
\(122\) 5.29602i 0.479480i
\(123\) −4.06616 7.04280i −0.366633 0.635028i
\(124\) −3.43484 0.920362i −0.308458 0.0826510i
\(125\) 0.0513167 11.1802i 0.00458990 0.999989i
\(126\) 1.88057 + 3.25724i 0.167534 + 0.290178i
\(127\) 11.3340 3.03693i 1.00573 0.269484i 0.281884 0.959448i \(-0.409041\pi\)
0.723843 + 0.689964i \(0.242374\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −0.623228 −0.0548722
\(130\) 6.43026 + 4.86330i 0.563971 + 0.426540i
\(131\) −8.55747 −0.747669 −0.373835 0.927495i \(-0.621957\pi\)
−0.373835 + 0.927495i \(0.621957\pi\)
\(132\) −4.31470 2.49109i −0.375546 0.216822i
\(133\) 12.7846 3.42561i 1.10856 0.297038i
\(134\) −2.69190 4.66250i −0.232545 0.402779i
\(135\) −1.57872 1.58356i −0.135874 0.136291i
\(136\) 5.59335 + 1.49873i 0.479626 + 0.128515i
\(137\) −9.05042 15.6758i −0.773230 1.33927i −0.935784 0.352574i \(-0.885307\pi\)
0.162554 0.986700i \(-0.448027\pi\)
\(138\) 5.76916i 0.491104i
\(139\) 5.27198 3.04378i 0.447164 0.258170i −0.259468 0.965752i \(-0.583547\pi\)
0.706632 + 0.707582i \(0.250214\pi\)
\(140\) 7.27696 + 4.21621i 0.615016 + 0.356335i
\(141\) −8.87162 + 2.37714i −0.747125 + 0.200192i
\(142\) 8.06070 + 8.06070i 0.676439 + 0.676439i
\(143\) 2.49597 + 17.7893i 0.208724 + 1.48761i
\(144\) 1.00000i 0.0833333i
\(145\) −4.75828 + 8.21254i −0.395154 + 0.682014i
\(146\) −2.63741 + 4.56813i −0.218274 + 0.378061i
\(147\) 1.84956 6.90263i 0.152549 0.569320i
\(148\) 1.70257 0.139950
\(149\) 3.21271 11.9900i 0.263195 0.982259i −0.700150 0.713996i \(-0.746884\pi\)
0.963346 0.268263i \(-0.0864497\pi\)
\(150\) −4.82565 1.30887i −0.394012 0.106869i
\(151\) −10.5457 10.5457i −0.858194 0.858194i 0.132931 0.991125i \(-0.457561\pi\)
−0.991125 + 0.132931i \(0.957561\pi\)
\(152\) 3.39912 + 0.910792i 0.275705 + 0.0738750i
\(153\) 1.49873 + 5.59335i 0.121165 + 0.452195i
\(154\) 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 −0.165545 + 0.986202i \(0.552938\pi\)
−0.986202 + 0.165545i \(0.947062\pi\)
\(158\) −2.33345 + 4.04166i −0.185640 + 0.321537i
\(159\) 7.38820 + 4.26558i 0.585922 + 0.338282i
\(160\) 1.11507 + 1.93820i 0.0881540 + 0.153228i
\(161\) 15.3432 15.3432i 1.20922 1.20922i
\(162\) −0.866025 + 0.500000i −0.0680414 + 0.0392837i
\(163\) −6.25152 + 3.60932i −0.489657 + 0.282704i −0.724432 0.689346i \(-0.757898\pi\)
0.234775 + 0.972050i \(0.424565\pi\)
\(164\) −5.75042 + 5.75042i −0.449032 + 0.449032i
\(165\) −5.55548 9.65647i −0.432494 0.751755i
\(166\) −0.747969 0.431840i −0.0580536 0.0335173i
\(167\) 6.12243 10.6044i 0.473768 0.820590i −0.525781 0.850620i \(-0.676227\pi\)
0.999549 + 0.0300300i \(0.00956027\pi\)
\(168\) 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
\(172\) 0.161303 + 0.601992i 0.0122993 + 0.0459015i
\(173\) −2.62836 0.704267i −0.199831 0.0535444i 0.157515 0.987517i \(-0.449652\pi\)
−0.357346 + 0.933972i \(0.616318\pi\)
\(174\) 3.00145 + 3.00145i 0.227539 + 0.227539i
\(175\) 9.35296 + 16.3149i 0.707017 + 1.23329i
\(176\) −1.28948 + 4.81242i −0.0971985 + 0.362750i
\(177\) −5.69599 −0.428137
\(178\) 3.59112 13.4022i 0.269166 1.00454i
\(179\) −5.19092 + 8.99094i −0.387988 + 0.672015i −0.992179 0.124825i \(-0.960163\pi\)
0.604191 + 0.796840i \(0.293496\pi\)
\(180\) −1.12100 + 1.93478i −0.0835541 + 0.144210i
\(181\) 0.00298723i 0.000222039i −1.00000 0.000111020i \(-0.999965\pi\)
1.00000 0.000111020i \(-3.53386e-5\pi\)
\(182\) −13.4595 1.65574i −0.997685 0.122732i
\(183\) 3.74485 + 3.74485i 0.276828 + 0.276828i
\(184\) 5.57258 1.49317i 0.410816 0.110078i
\(185\) 3.29409 + 1.90857i 0.242186 + 0.140321i
\(186\) −3.07959 + 1.77800i −0.225807 + 0.130370i
\(187\) 28.8501i 2.10973i
\(188\) 4.59229 + 7.95408i 0.334927 + 0.580111i
\(189\) 3.63298 + 0.973453i 0.264260 + 0.0708083i
\(190\) 5.55556 + 5.57258i 0.403043 + 0.404278i
\(191\) 1.39117 + 2.40958i 0.100662 + 0.174351i 0.911957 0.410285i \(-0.134571\pi\)
−0.811296 + 0.584636i \(0.801237\pi\)
\(192\) 0.965926 0.258819i 0.0697097 0.0186787i
\(193\) 13.1378 + 7.58514i 0.945683 + 0.545990i 0.891737 0.452554i \(-0.149487\pi\)
0.0539455 + 0.998544i \(0.482820\pi\)
\(194\) −17.8737 −1.28326
\(195\) 7.98576 1.10801i 0.571872 0.0793460i
\(196\) −7.14613 −0.510438
\(197\) 18.4569 + 10.6561i 1.31500 + 0.759215i 0.982919 0.184036i \(-0.0589163\pi\)
0.332080 + 0.943251i \(0.392250\pi\)
\(198\) −4.81242 + 1.28948i −0.342004 + 0.0916396i
\(199\) −4.07958 7.06604i −0.289194 0.500899i 0.684424 0.729085i \(-0.260054\pi\)
−0.973618 + 0.228186i \(0.926721\pi\)
\(200\) −0.0152997 + 4.99998i −0.00108185 + 0.353552i
\(201\) −5.20035 1.39343i −0.366804 0.0982849i
\(202\) 2.14057 + 3.70757i 0.150610 + 0.260864i
\(203\) 15.9649i 1.12051i
\(204\) 5.01486 2.89533i 0.351110 0.202714i
\(205\) −17.5720 + 4.67960i −1.22728 + 0.326837i
\(206\) 7.86522 2.10748i 0.547996 0.146835i
\(207\) 4.07941 + 4.07941i 0.283539 + 0.283539i
\(208\) −2.87903 2.17053i −0.199624 0.150499i
\(209\) 17.5325i 1.21275i
\(210\) 8.12690 2.16428i 0.560810 0.149349i
\(211\) 13.4348 23.2697i 0.924887 1.60195i 0.133144 0.991097i \(-0.457493\pi\)
0.791743 0.610854i \(-0.209174\pi\)
\(212\) 2.20803 8.24046i 0.151648 0.565957i
\(213\) 11.3995 0.781084
\(214\) −1.07834 + 4.02443i −0.0737139 + 0.275104i
\(215\) −0.362744 + 1.34554i −0.0247390 + 0.0917652i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) 12.9189 + 3.46161i 0.876991 + 0.234989i
\(218\) −1.71723 6.40881i −0.116306 0.434059i
\(219\) 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
\(223\) 8.09867 14.0273i 0.542327 0.939338i −0.456443 0.889753i \(-0.650877\pi\)
0.998770 0.0495855i \(-0.0157900\pi\)
\(224\) −3.25724 1.88057i −0.217633 0.125651i
\(225\) −4.33776 + 2.48674i −0.289184 + 0.165783i
\(226\) 14.4206 14.4206i 0.959245 0.959245i
\(227\) 18.6891 10.7902i 1.24044 0.716169i 0.271257 0.962507i \(-0.412561\pi\)
0.969184 + 0.246338i \(0.0792273\pi\)
\(228\) 3.04757 1.75952i 0.201830 0.116527i
\(229\) 9.43282 9.43282i 0.623338 0.623338i −0.323045 0.946384i \(-0.604707\pi\)
0.946384 + 0.323045i \(0.104707\pi\)
\(230\) 12.4556 + 3.35789i 0.821295 + 0.221413i
\(231\) 16.2282 + 9.36933i 1.06773 + 0.616457i
\(232\) 2.12235 3.67601i 0.139339 0.241342i
\(233\) 8.62757 8.62757i 0.565211 0.565211i −0.365572 0.930783i \(-0.619127\pi\)
0.930783 + 0.365572i \(0.119127\pi\)
\(234\) 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
\(237\) 1.20788 + 4.50788i 0.0784605 + 0.292819i
\(238\) −21.0373 5.63694i −1.36365 0.365388i
\(239\) −4.17052 4.17052i −0.269768 0.269768i 0.559238 0.829007i \(-0.311094\pi\)
−0.829007 + 0.559238i \(0.811094\pi\)
\(240\) 2.15899 + 0.582041i 0.139362 + 0.0375706i
\(241\) −5.18377 + 19.3461i −0.333916 + 1.24619i 0.571124 + 0.820864i \(0.306508\pi\)
−0.905040 + 0.425327i \(0.860159\pi\)
\(242\) −13.8221 −0.888521
\(243\) −0.258819 + 0.965926i −0.0166032 + 0.0619642i
\(244\) 2.64801 4.58649i 0.169522 0.293620i
\(245\) −13.8262 8.01078i −0.883323 0.511790i
\(246\) 8.13232i 0.518498i
\(247\) −11.7631 4.75572i −0.748466 0.302599i
\(248\) 2.51448 + 2.51448i 0.159669 + 0.159669i
\(249\) −0.834251 + 0.223537i −0.0528685 + 0.0141661i
\(250\) −5.63455 + 9.65670i −0.356360 + 0.610743i
\(251\) 2.57154 1.48468i 0.162314 0.0937120i −0.416643 0.909070i \(-0.636793\pi\)
0.578957 + 0.815358i \(0.303460\pi\)
\(252\) 3.76113i 0.236929i
\(253\) 14.3715 + 24.8922i 0.903529 + 1.56496i
\(254\) −11.3340 3.03693i −0.711157 0.190554i
\(255\) 12.9483 + 0.0198106i 0.810854 + 0.00124059i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −20.7786 + 5.56761i −1.29613 + 0.347298i −0.839987 0.542606i \(-0.817438\pi\)
−0.456147 + 0.889905i \(0.650771\pi\)
\(258\) 0.539731 + 0.311614i 0.0336022 + 0.0194002i
\(259\) −6.40359 −0.397899
\(260\) −3.13712 7.42688i −0.194556 0.460595i
\(261\) 4.24469 0.262740
\(262\) 7.41098 + 4.27873i 0.457852 + 0.264341i
\(263\) 2.18647 0.585863i 0.134824 0.0361259i −0.190776 0.981634i \(-0.561100\pi\)
0.325600 + 0.945508i \(0.394434\pi\)
\(264\) 2.49109 + 4.31470i 0.153316 + 0.265551i
\(265\) 13.5096 13.4683i 0.829886 0.827350i
\(266\) −12.7846 3.42561i −0.783872 0.210038i
\(267\) −6.93751 12.0161i −0.424568 0.735374i
\(268\) 5.38380i 0.328868i
\(269\) −15.4313 + 8.90928i −0.940864 + 0.543208i −0.890231 0.455509i \(-0.849457\pi\)
−0.0506331 + 0.998717i \(0.516124\pi\)
\(270\) 0.575432 + 2.16076i 0.0350197 + 0.131500i
\(271\) −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
\(273\) −10.6881 + 8.34652i −0.646873 + 0.505154i
\(274\) 18.1008i 1.09351i
\(275\) −24.0817 + 6.37376i −1.45218 + 0.384352i
\(276\) 2.88458 4.99624i 0.173631 0.300738i
\(277\) −2.70758 + 10.1048i −0.162683 + 0.607139i 0.835642 + 0.549275i \(0.185096\pi\)
−0.998324 + 0.0578648i \(0.981571\pi\)
\(278\) −6.08756 −0.365107
\(279\) −0.920362 + 3.43484i −0.0551006 + 0.205638i
\(280\) −4.19393 7.28983i −0.250635 0.435651i
\(281\) 16.2537 + 16.2537i 0.969616 + 0.969616i 0.999552 0.0299357i \(-0.00953025\pi\)
−0.0299357 + 0.999552i \(0.509530\pi\)
\(282\) 8.87162 + 2.37714i 0.528297 + 0.141557i
\(283\) −8.05557 30.0638i −0.478854 1.78711i −0.606272 0.795258i \(-0.707336\pi\)
0.127418 0.991849i \(-0.459331\pi\)
\(284\) −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
\(288\) 0.500000 0.866025i 0.0294628 0.0510310i
\(289\) −14.3169 8.26588i −0.842172 0.486228i
\(290\) 8.22706 4.73313i 0.483110 0.277939i
\(291\) −12.6386 + 12.6386i −0.740888 + 0.740888i
\(292\) 4.56813 2.63741i 0.267330 0.154343i
\(293\) −0.235560 + 0.136000i −0.0137615 + 0.00794523i −0.506865 0.862025i \(-0.669196\pi\)
0.493103 + 0.869971i \(0.335862\pi\)
\(294\) −5.05308 + 5.05308i −0.294702 + 0.294702i
\(295\) −3.31530 + 12.2976i −0.193024 + 0.715992i
\(296\) −1.47447 0.851284i −0.0857016 0.0494799i
\(297\) −2.49109 + 4.31470i −0.144548 + 0.250364i
\(298\) −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
\(302\) 3.85998 + 14.4056i 0.222117 + 0.828952i
\(303\) 4.13526 + 1.10804i 0.237564 + 0.0636552i
\(304\) −2.48833 2.48833i −0.142716 0.142716i
\(305\) 10.2648 5.90544i 0.587758 0.338144i
\(306\) 1.49873 5.59335i 0.0856769 0.319750i
\(307\) 19.6291 1.12029 0.560145 0.828395i \(-0.310745\pi\)
0.560145 + 0.828395i \(0.310745\pi\)
\(308\) 4.84992 18.1002i 0.276350 1.03135i
\(309\) 4.07134 7.05177i 0.231610 0.401161i
\(310\) 2.04624 + 7.68367i 0.116219 + 0.436403i
\(311\) 7.66916i 0.434878i −0.976074 0.217439i \(-0.930230\pi\)
0.976074 0.217439i \(-0.0697704\pi\)
\(312\) −3.57058 + 0.500979i −0.202144 + 0.0283624i
\(313\) −7.66815 7.66815i −0.433429 0.433429i 0.456364 0.889793i \(-0.349152\pi\)
−0.889793 + 0.456364i \(0.849152\pi\)
\(314\) 19.7136 5.28224i 1.11250 0.298094i
\(315\) 4.21621 7.27696i 0.237557 0.410010i
\(316\) 4.04166 2.33345i 0.227361 0.131267i
\(317\) 16.1221i 0.905509i 0.891635 + 0.452755i \(0.149559\pi\)
−0.891635 + 0.452755i \(0.850441\pi\)
\(318\) −4.26558 7.38820i −0.239202 0.414309i
\(319\) 20.4272 + 5.47346i 1.14371 + 0.306455i
\(320\) 0.00342112 2.23607i 0.000191247 0.125000i
\(321\) 2.08320 + 3.60820i 0.116273 + 0.201390i
\(322\) −20.9592 + 5.61601i −1.16801 + 0.312968i
\(323\) −17.6475 10.1888i −0.981930 0.566918i
\(324\) 1.00000 0.0555556
\(325\) 2.25586 17.8861i 0.125133 0.992140i
\(326\) 7.21863 0.399803
\(327\) −5.74598 3.31744i −0.317753 0.183455i
\(328\) 7.85522 2.10480i 0.433732 0.116218i
\(329\) −17.2722 29.9164i −0.952248 1.64934i
\(330\) −0.0170447 + 11.1405i −0.000938278 + 0.613264i
\(331\) −32.8247 8.79534i −1.80421 0.483436i −0.809584 0.587004i \(-0.800307\pi\)
−0.994622 + 0.103568i \(0.966974\pi\)
\(332\) 0.431840 + 0.747969i 0.0237003 + 0.0410501i
\(333\) 1.70257i 0.0933001i
\(334\) −10.6044 + 6.12243i −0.580245 + 0.335004i
\(335\) −6.03521 + 10.4165i −0.329739 + 0.569112i
\(336\) −3.63298 + 0.973453i −0.198195 + 0.0531062i
\(337\) 20.5522 + 20.5522i 1.11955 + 1.11955i 0.991807 + 0.127743i \(0.0407732\pi\)
0.127743 + 0.991807i \(0.459227\pi\)
\(338\) 9.34729 + 9.03483i 0.508425 + 0.491430i
\(339\) 20.3938i 1.10764i
\(340\) −3.33213 12.5122i −0.180710 0.678570i
\(341\) −8.85834 + 15.3431i −0.479706 + 0.830875i
\(342\) 0.910792 3.39912i 0.0492500 0.183804i
\(343\) 0.549625 0.0296770
\(344\) 0.161303 0.601992i 0.00869689 0.0324572i
\(345\) 11.1818 6.43302i 0.602007 0.346342i
\(346\) 1.92409 + 1.92409i 0.103440 + 0.103440i
\(347\) −6.54372 1.75339i −0.351285 0.0941267i 0.0788614 0.996886i \(-0.474872\pi\)
−0.430147 + 0.902759i \(0.641538\pi\)
\(348\) −1.09861 4.10006i −0.0588915 0.219786i
\(349\) −2.76578 10.3220i −0.148049 0.552526i −0.999601 0.0282557i \(-0.991005\pi\)
0.851552 0.524271i \(-0.175662\pi\)
\(350\) 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
\(353\) −9.68559 + 16.7759i −0.515512 + 0.892893i 0.484326 + 0.874888i \(0.339065\pi\)
−0.999838 + 0.0180051i \(0.994268\pi\)
\(354\) 4.93287 + 2.84800i 0.262179 + 0.151369i
\(355\) 6.63500 24.6115i 0.352149 1.30624i
\(356\) −9.81111 + 9.81111i −0.519988 + 0.519988i
\(357\) −18.8616 + 10.8897i −0.998260 + 0.576346i
\(358\) 8.99094 5.19092i 0.475186 0.274349i
\(359\) 22.5724 22.5724i 1.19133 1.19133i 0.214632 0.976695i \(-0.431145\pi\)
0.976695 0.214632i \(-0.0688552\pi\)
\(360\) 1.93820 1.11507i 0.102152 0.0587693i
\(361\) 5.72998 + 3.30821i 0.301578 + 0.174116i
\(362\) −0.00149362 + 0.00258702i −7.85027e−5 + 0.000135971i
\(363\) −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
\(367\) 4.08480 + 15.2447i 0.213225 + 0.795766i 0.986784 + 0.162042i \(0.0518080\pi\)
−0.773559 + 0.633724i \(0.781525\pi\)
\(368\) −5.57258 1.49317i −0.290491 0.0778368i
\(369\) 5.75042 + 5.75042i 0.299355 + 0.299355i
\(370\) −1.89848 3.29992i −0.0986974 0.171554i
\(371\) −8.30468 + 30.9935i −0.431157 + 1.60910i
\(372\) 3.55601 0.184370
\(373\) 3.22653 12.0416i 0.167064 0.623490i −0.830704 0.556714i \(-0.812062\pi\)
0.997768 0.0667760i \(-0.0212713\pi\)
\(374\) 14.4251 24.9849i 0.745902 1.29194i
\(375\) 2.84409 + 10.8125i 0.146868 + 0.558358i
\(376\) 9.18458i 0.473658i
\(377\) −9.21324 + 12.2206i −0.474506 + 0.629391i
\(378\) −2.65952 2.65952i −0.136791 0.136791i
\(379\) −31.0709 + 8.32543i −1.59601 + 0.427649i −0.943833 0.330422i \(-0.892809\pi\)
−0.652173 + 0.758070i \(0.726142\pi\)
\(380\) −2.02496 7.60378i −0.103878 0.390066i
\(381\) −10.1618 + 5.86690i −0.520603 + 0.300570i
\(382\) 2.78234i 0.142357i
\(383\) 0.483273 + 0.837053i 0.0246941 + 0.0427714i 0.878108 0.478462i \(-0.158805\pi\)
−0.853414 + 0.521233i \(0.825472\pi\)
\(384\) −0.965926 0.258819i −0.0492922 0.0132078i
\(385\) 29.6737 29.5831i 1.51231 1.50769i
\(386\) −7.58514 13.1378i −0.386073 0.668699i
\(387\) 0.601992 0.161303i 0.0306010 0.00819951i
\(388\) 15.4791 + 8.93684i 0.785831 + 0.453700i
\(389\) −12.4738 −0.632446 −0.316223 0.948685i \(-0.602415\pi\)
−0.316223 + 0.948685i \(0.602415\pi\)
\(390\) −7.46987 3.03332i −0.378252 0.153598i
\(391\) −33.4073 −1.68948
\(392\) 6.18873 + 3.57307i 0.312578 + 0.180467i
\(393\) 8.26588 2.21484i 0.416958 0.111724i
\(394\) −10.6561 18.4569i −0.536846 0.929845i
\(395\) 10.4355 + 0.0159661i 0.525067 + 0.000803340i
\(396\) 4.81242 + 1.28948i 0.241833 + 0.0647990i
\(397\) −14.3909 24.9257i −0.722258 1.25099i −0.960093 0.279682i \(-0.909771\pi\)
0.237835 0.971306i \(-0.423562\pi\)
\(398\) 8.15916i 0.408982i
\(399\) −11.4623 + 6.61778i −0.573834 + 0.331303i
\(400\) 2.51324 4.32246i 0.125662 0.216123i
\(401\) 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
\(403\) −7.89131 10.1052i −0.393094 0.503375i
\(404\) 4.28113i 0.212994i
\(405\) 1.93478 + 1.12100i 0.0961399 + 0.0557027i
\(406\) −7.98243 + 13.8260i −0.396161 + 0.686171i
\(407\) 2.19543 8.19347i 0.108824 0.406135i
\(408\) −5.79066 −0.286680
\(409\) 5.05270 18.8569i 0.249840 0.932416i −0.721049 0.692884i \(-0.756340\pi\)
0.970889 0.239531i \(-0.0769937\pi\)
\(410\) 17.5576 + 4.73334i 0.867107 + 0.233763i
\(411\) 12.7992 + 12.7992i 0.631339 + 0.631339i
\(412\) −7.86522 2.10748i −0.387492 0.103828i
\(413\) −5.54478 20.6934i −0.272841 1.01826i
\(414\) −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
\(418\) 8.76623 15.1836i 0.428770 0.742652i
\(419\) 22.8482 + 13.1914i 1.11621 + 0.644442i 0.940430 0.339988i \(-0.110423\pi\)
0.175777 + 0.984430i \(0.443756\pi\)
\(420\) −8.12024 2.18913i −0.396227 0.106819i
\(421\) 3.11591 3.11591i 0.151860 0.151860i −0.627088 0.778948i \(-0.715753\pi\)
0.778948 + 0.627088i \(0.215753\pi\)
\(422\) −23.2697 + 13.4348i −1.13275 + 0.653994i
\(423\) 7.95408 4.59229i 0.386741 0.223285i
\(424\) −6.03244 + 6.03244i −0.292961 + 0.292961i
\(425\) 7.57921 27.9437i 0.367646 1.35547i
\(426\) −9.87230 5.69977i −0.478314 0.276155i
\(427\) −9.95953 + 17.2504i −0.481975 + 0.834806i
\(428\) 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 \(-0.225463\pi\)
\(432\) −0.258819 0.965926i −0.0124524 0.0464731i
\(433\) 25.7601 + 6.90240i 1.23795 + 0.331708i 0.817671 0.575686i \(-0.195265\pi\)
0.420281 + 0.907394i \(0.361931\pi\)
\(434\) −9.45728 9.45728i −0.453964 0.453964i
\(435\) 2.47058 9.16423i 0.118455 0.439391i
\(436\) −1.71723 + 6.40881i −0.0822406 + 0.306926i
\(437\) −20.3019 −0.971170
\(438\) 1.36522 5.09509i 0.0652330 0.243453i
\(439\) −1.66483 + 2.88358i −0.0794582 + 0.137626i −0.903016 0.429606i \(-0.858652\pi\)
0.823558 + 0.567232i \(0.191986\pi\)
\(440\) 10.7653 2.86691i 0.513215 0.136674i
\(441\) 7.14613i 0.340292i
\(442\) 12.8503 + 16.4554i 0.611228 + 0.782706i
\(443\) 17.4398 + 17.4398i 0.828592 + 0.828592i 0.987322 0.158730i \(-0.0507399\pi\)
−0.158730 + 0.987322i \(0.550740\pi\)
\(444\) −1.64455 + 0.440657i −0.0780471 + 0.0209127i
\(445\) −29.9806 + 7.98412i −1.42121 + 0.378484i
\(446\) −14.0273 + 8.09867i −0.664212 + 0.383483i
\(447\) 12.4130i 0.587113i
\(448\) 1.88057 + 3.25724i 0.0888485 + 0.153890i
\(449\) 19.0521 + 5.10499i 0.899123 + 0.240919i 0.678640 0.734471i \(-0.262570\pi\)
0.220483 + 0.975391i \(0.429237\pi\)
\(450\) 4.99998 + 0.0152997i 0.235701 + 0.000721235i
\(451\) 20.2584 + 35.0885i 0.953929 + 1.65225i
\(452\) −19.6989 + 5.27831i −0.926559 + 0.248271i
\(453\) 12.9157 + 7.45691i 0.606835 + 0.350356i
\(454\) −21.5804 −1.01282
\(455\) 11.7991 + 27.9335i 0.553152 + 1.30954i
\(456\) −3.51903 −0.164794
\(457\) −1.72303 0.994792i −0.0806000 0.0465344i 0.459158 0.888354i \(-0.348151\pi\)
−0.539758 + 0.841820i \(0.681484\pi\)
\(458\) −12.8855 + 3.45265i −0.602099 + 0.161332i
\(459\) −2.89533 5.01486i −0.135142 0.234074i
\(460\) −9.10788 9.13579i −0.424657 0.425959i
\(461\) 26.2500 + 7.03368i 1.22259 + 0.327591i 0.811689 0.584090i \(-0.198549\pi\)
0.410898 + 0.911681i \(0.365215\pi\)
\(462\) −9.36933 16.2282i −0.435901 0.755002i
\(463\) 24.4623i 1.13686i 0.822731 + 0.568430i \(0.192449\pi\)
−0.822731 + 0.568430i \(0.807551\pi\)
\(464\) −3.67601 + 2.12235i −0.170654 + 0.0985274i
\(465\) 6.88009 + 3.98627i 0.319056 + 0.184859i
\(466\) −11.7855 + 3.15791i −0.545952 + 0.146287i
\(467\) −19.8875 19.8875i −0.920284 0.920284i 0.0767650 0.997049i \(-0.475541\pi\)
−0.997049 + 0.0767650i \(0.975541\pi\)
\(468\) −2.17053 + 2.87903i −0.100333 + 0.133083i
\(469\) 20.2492i 0.935020i
\(470\) 10.2959 17.7701i 0.474913 0.819675i
\(471\) 10.2045 17.6747i 0.470199 0.814408i
\(472\) 1.47423 5.50190i 0.0678570 0.253246i
\(473\) 3.10504 0.142770
\(474\) 1.20788 4.50788i 0.0554799 0.207054i
\(475\) 4.60595 16.9816i 0.211335 0.779169i
\(476\) 15.4004 + 15.4004i 0.705876 + 0.705876i
\(477\) −8.24046 2.20803i −0.377305 0.101099i
\(478\) 1.52652 + 5.69703i 0.0698212 + 0.260576i
\(479\) −0.684672 2.55523i −0.0312834 0.116751i 0.948519 0.316722i \(-0.102582\pi\)
−0.979802 + 0.199970i \(0.935915\pi\)
\(480\) −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
\(483\) −10.8493 + 18.7915i −0.493660 + 0.855045i
\(484\) 11.9703 + 6.91107i 0.544106 + 0.314140i
\(485\) 19.9304 + 34.6428i 0.904993 + 1.57305i
\(486\) 0.707107 0.707107i 0.0320750 0.0320750i
\(487\) −20.3134 + 11.7279i −0.920487 + 0.531443i −0.883790 0.467883i \(-0.845017\pi\)
−0.0366965 + 0.999326i \(0.511683\pi\)
\(488\) −4.58649 + 2.64801i −0.207621 + 0.119870i
\(489\) 5.10434 5.10434i 0.230826 0.230826i
\(490\) 7.96844 + 13.8506i 0.359977 + 0.625708i
\(491\) 5.36184 + 3.09566i 0.241976 + 0.139705i 0.616085 0.787680i \(-0.288718\pi\)
−0.374108 + 0.927385i \(0.622051\pi\)
\(492\) 4.06616 7.04280i 0.183317 0.317514i
\(493\) −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
\(497\) 11.0969 + 41.4143i 0.497765 + 1.85769i
\(498\) 0.834251 + 0.223537i 0.0373837 + 0.0100169i
\(499\) 22.7471 + 22.7471i 1.01830 + 1.01830i 0.999829 + 0.0184704i \(0.00587966\pi\)
0.0184704 + 0.999829i \(0.494120\pi\)
\(500\) 9.70801 5.54567i 0.434156 0.248010i
\(501\) −3.16920 + 11.8276i −0.141590 + 0.528419i
\(502\) −2.96935 −0.132529
\(503\) −5.57901 + 20.8211i −0.248756 + 0.928369i 0.722703 + 0.691159i \(0.242900\pi\)
−0.971458 + 0.237210i \(0.923767\pi\)
\(504\) −1.88057 + 3.25724i −0.0837671 + 0.145089i
\(505\) 4.79913 8.28305i 0.213559 0.368591i
\(506\) 28.7430i 1.27778i
\(507\) 12.9981 0.220937i 0.577267 0.00981216i
\(508\) 8.29705 + 8.29705i 0.368122 + 0.368122i
\(509\) −7.66864 + 2.05481i −0.339907 + 0.0910777i −0.424735 0.905318i \(-0.639633\pi\)
0.0848280 + 0.996396i \(0.472966\pi\)
\(510\) −11.2036 6.49130i −0.496106 0.287440i
\(511\) −17.1814 + 9.91966i −0.760058 + 0.438820i
\(512\) 1.00000i 0.0441942i
\(513\) −1.75952 3.04757i −0.0776845 0.134554i
\(514\) 20.7786 + 5.56761i 0.916505 + 0.245577i
\(515\) −12.8550 12.8944i −0.566459 0.568195i
\(516\) −0.311614 0.539731i −0.0137180 0.0237603i
\(517\) 44.2000 11.8434i 1.94392 0.520871i
\(518\) 5.54567 + 3.20179i 0.243663 + 0.140679i
\(519\) 2.72108 0.119442
\(520\) −0.996613 + 8.00042i −0.0437044 + 0.350842i
\(521\) −5.20619 −0.228087 −0.114044 0.993476i \(-0.536380\pi\)
−0.114044 + 0.993476i \(0.536380\pi\)
\(522\) −3.67601 2.12235i −0.160895 0.0928925i
\(523\) 25.4964 6.83174i 1.11488 0.298731i 0.346070 0.938209i \(-0.387516\pi\)
0.768809 + 0.639478i \(0.220849\pi\)
\(524\) −4.27873 7.41098i −0.186917 0.323750i
\(525\) −13.2569 13.3382i −0.578577 0.582129i
\(526\) −2.18647 0.585863i −0.0953346 0.0255448i
\(527\) −10.2958 17.8329i −0.448493 0.776812i
\(528\) 4.98218i 0.216822i
\(529\) −8.90555 + 5.14162i −0.387198 + 0.223549i
\(530\) −18.4338 + 4.90910i −0.800712 + 0.213238i
\(531\) 5.50190 1.47423i 0.238762 0.0639762i
\(532\) 9.35895 + 9.35895i 0.405762 + 0.405762i
\(533\) −29.0371 + 4.07413i −1.25774 + 0.176470i
\(534\) 13.8750i 0.600430i
\(535\) 9.00257 2.39747i 0.389215 0.103652i
\(536\) 2.69190 4.66250i 0.116272 0.201390i
\(537\) 2.68702 10.0281i 0.115953 0.432744i
\(538\) 17.8186 0.768212
\(539\) −9.21482 + 34.3902i −0.396910 + 1.48129i
\(540\) 0.582041 2.15899i 0.0250471 0.0929080i
\(541\) −11.8712 11.8712i −0.510382 0.510382i 0.404261 0.914644i \(-0.367529\pi\)
−0.914644 + 0.404261i \(0.867529\pi\)
\(542\) 17.8068 + 4.77131i 0.764867 + 0.204945i
\(543\) 0.000773153 0.00288545i 3.31792e−5 0.000123826i
\(544\) 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 −0.0703361 0.997523i \(-0.522407\pi\)
0.997523 + 0.0703361i \(0.0224072\pi\)
\(548\) 9.05042 15.6758i 0.386615 0.669637i
\(549\) −4.58649 2.64801i −0.195747 0.113014i
\(550\) 24.0423 + 6.52102i 1.02517 + 0.278057i
\(551\) −10.5622 + 10.5622i −0.449965 + 0.449965i
\(552\) −4.99624 + 2.88458i −0.212654 + 0.122776i
\(553\) −15.2012 + 8.77643i −0.646422 + 0.373212i
\(554\) 7.39724 7.39724i 0.314278 0.314278i
\(555\) −3.67582 0.990964i −0.156030 0.0420641i
\(556\) 5.27198 + 3.04378i 0.223582 + 0.129085i
\(557\) 1.90837 3.30540i 0.0808603 0.140054i −0.822759 0.568390i \(-0.807567\pi\)
0.903620 + 0.428336i \(0.140900\pi\)
\(558\) 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
\(562\) −5.94928 22.2030i −0.250955 0.936577i
\(563\) 4.06884 + 1.09024i 0.171481 + 0.0459482i 0.343538 0.939139i \(-0.388375\pi\)
−0.172057 + 0.985087i \(0.555041\pi\)
\(564\) −6.49448 6.49448i −0.273467 0.273467i
\(565\) −44.0300 11.8700i −1.85236 0.499376i
\(566\) −8.05557 + 30.0638i −0.338601 + 1.26368i
\(567\) −3.76113 −0.157953
\(568\) −2.95042 + 11.0111i −0.123797 + 0.462016i
\(569\) −10.2866 + 17.8168i −0.431235 + 0.746921i −0.996980 0.0776595i \(-0.975255\pi\)
0.565745 + 0.824580i \(0.308589\pi\)
\(570\) −6.80855 3.94482i −0.285179 0.165230i
\(571\) 0.531359i 0.0222367i 0.999938 + 0.0111183i \(0.00353915\pi\)
−0.999938 + 0.0111183i \(0.996461\pi\)
\(572\) −14.1580 + 11.0562i −0.591975 + 0.462283i
\(573\) −1.96741 1.96741i −0.0821898 0.0821898i
\(574\) −29.5445 + 7.91644i −1.23317 + 0.330426i
\(575\) −7.38055 27.8856i −0.307790 1.16291i
\(576\) −0.866025 + 0.500000i −0.0360844 + 0.0208333i
\(577\) 10.8877i 0.453261i −0.973981 0.226630i \(-0.927229\pi\)
0.973981 0.226630i \(-0.0727710\pi\)
\(578\) 8.26588 + 14.3169i 0.343815 + 0.595505i
\(579\) −14.6534 3.92636i −0.608973 0.163174i
\(580\) −9.49140 0.0145216i −0.394109 0.000602977i
\(581\) −1.62421 2.81321i −0.0673835 0.116712i
\(582\) 17.2647 4.62605i 0.715643 0.191756i
\(583\) −36.8093 21.2519i −1.52449 0.880163i
\(584\) −5.27482 −0.218274
\(585\) −7.42688 + 3.13712i −0.307064 + 0.129704i
\(586\) 0.272001 0.0112363
\(587\) 8.56772 + 4.94658i 0.353628 + 0.204167i 0.666282 0.745700i \(-0.267885\pi\)
−0.312654 + 0.949867i \(0.601218\pi\)
\(588\) 6.90263 1.84956i 0.284660 0.0762744i
\(589\) −6.25685 10.8372i −0.257809 0.446538i
\(590\) 9.01992 8.99236i 0.371344 0.370210i
\(591\) −20.5860 5.51600i −0.846795 0.226898i
\(592\) 0.851284 + 1.47447i 0.0349875 + 0.0606002i
\(593\) 16.3568i 0.671694i 0.941916 + 0.335847i \(0.109023\pi\)
−0.941916 + 0.335847i \(0.890977\pi\)
\(594\) 4.31470 2.49109i 0.177034 0.102211i
\(595\) 12.5326 + 47.0601i 0.513786 + 1.92928i
\(596\) 11.9900 3.21271i 0.491129 0.131598i
\(597\) 5.76940 + 5.76940i 0.236126 + 0.236126i
\(598\) 19.2846 + 7.79661i 0.788605 + 0.318827i
\(599\) 4.71267i 0.192554i −0.995355 0.0962772i \(-0.969306\pi\)
0.995355 0.0962772i \(-0.0306935\pi\)
\(600\) −1.27931 4.83357i −0.0522276 0.197330i
\(601\) 7.92625 13.7287i 0.323318 0.560004i −0.657852 0.753147i \(-0.728535\pi\)
0.981171 + 0.193143i \(0.0618682\pi\)
\(602\) −0.606683 + 2.26417i −0.0247266 + 0.0922808i
\(603\) 5.38380 0.219245
\(604\) 3.85998 14.4056i 0.157060 0.586157i
\(605\) 15.4127 + 26.7901i 0.626614 + 1.08917i
\(606\) −3.02722 3.02722i −0.122972 0.122972i
\(607\) −3.75611 1.00645i −0.152456 0.0408504i 0.181784 0.983338i \(-0.441813\pi\)
−0.334240 + 0.942488i \(0.608480\pi\)
\(608\) 0.910792 + 3.39912i 0.0369375 + 0.137853i
\(609\) 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
\(613\) 14.5000 25.1148i 0.585651 1.01438i −0.409143 0.912470i \(-0.634172\pi\)
0.994794 0.101906i \(-0.0324942\pi\)
\(614\) −16.9993 9.81453i −0.686035 0.396082i
\(615\) 15.7621 9.06811i 0.635588 0.365661i
\(616\) −13.2502 + 13.2502i −0.533867 + 0.533867i
\(617\) −0.501676 + 0.289643i −0.0201967 + 0.0116606i −0.510064 0.860136i \(-0.670378\pi\)
0.489868 + 0.871797i \(0.337045\pi\)
\(618\) −7.05177 + 4.07134i −0.283664 + 0.163773i
\(619\) −0.846805 + 0.846805i −0.0340360 + 0.0340360i −0.723920 0.689884i \(-0.757662\pi\)
0.689884 + 0.723920i \(0.257662\pi\)
\(620\) 2.06974 7.67737i 0.0831228 0.308331i
\(621\) −4.99624 2.88458i −0.200492 0.115754i
\(622\) −3.83458 + 6.64169i −0.153753 + 0.266307i
\(623\) 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
\(627\) −4.53773 16.9351i −0.181220 0.676321i
\(628\) −19.7136 5.28224i −0.786658 0.210784i
\(629\) 6.97136 + 6.97136i 0.277966 + 0.277966i
\(630\) −7.28983 + 4.19393i −0.290434 + 0.167090i
\(631\) 5.89718 22.0086i 0.234763 0.876147i −0.743493 0.668744i \(-0.766832\pi\)
0.978256 0.207403i \(-0.0665012\pi\)
\(632\) −4.66690 −0.185640
\(633\) −6.95434 + 25.9540i −0.276410 + 1.03158i
\(634\) 8.06107 13.9622i 0.320146 0.554509i
\(635\) 6.75200 + 25.3539i 0.267945 + 1.00614i
\(636\) 8.53115i 0.338282i
\(637\) −20.5739 15.5109i −0.815167 0.614565i
\(638\) −14.9538 14.9538i −0.592025 0.592025i
\(639\) −11.0111 + 2.95042i −0.435593 + 0.116717i
\(640\) −1.12100 + 1.93478i −0.0443112 + 0.0764788i
\(641\) 27.3666 15.8001i 1.08092 0.624067i 0.149773 0.988720i \(-0.452146\pi\)
0.931144 + 0.364653i \(0.118812\pi\)
\(642\) 4.16639i 0.164434i
\(643\) 10.5481 + 18.2698i 0.415976 + 0.720491i 0.995530 0.0944423i \(-0.0301068\pi\)
−0.579555 + 0.814933i \(0.696773\pi\)
\(644\) 20.9592 + 5.61601i 0.825910 + 0.221302i
\(645\) 0.00213214 1.39358i 8.39529e−5 0.0548721i
\(646\) 10.1888 + 17.6475i 0.400871 + 0.694330i
\(647\) −13.1944 + 3.53543i −0.518726 + 0.138992i −0.508677 0.860957i \(-0.669865\pi\)
−0.0100486 + 0.999950i \(0.503199\pi\)
\(648\) −0.866025 0.500000i −0.0340207 0.0196419i
\(649\) 28.3785 1.11395
\(650\) −10.8967 + 14.3618i −0.427402 + 0.563318i
\(651\) −13.3746 −0.524193
\(652\) −6.25152 3.60932i −0.244828 0.141352i
\(653\) 48.7729 13.0687i 1.90863 0.511416i 0.914306 0.405024i \(-0.132737\pi\)
0.994324 0.106392i \(-0.0339300\pi\)
\(654\) 3.31744 + 5.74598i 0.129722 + 0.224686i
\(655\) 0.0292761 19.1351i 0.00114391 0.747668i
\(656\) −7.85522 2.10480i −0.306695 0.0821786i
\(657\) −2.63741 4.56813i −0.102895 0.178220i
\(658\) 34.5444i 1.34668i
\(659\) 24.7744 14.3035i 0.965072 0.557184i 0.0673415 0.997730i \(-0.478548\pi\)
0.897730 + 0.440546i \(0.145215\pi\)
\(660\) 5.58500 9.63942i 0.217396 0.375214i
\(661\) 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
\(663\) 20.7223 + 2.54919i 0.804788 + 0.0990024i
\(664\) 0.863680i 0.0335173i
\(665\) 7.61616 + 28.5988i 0.295342 + 1.10902i
\(666\) −0.851284 + 1.47447i −0.0329866 + 0.0571344i
\(667\) −6.33804 + 23.6539i −0.245410 + 0.915882i
\(668\) 12.2449 0.473768
\(669\) −4.19218 + 15.6454i −0.162079 + 0.604887i
\(670\) 10.4349 6.00331i 0.403134 0.231928i
\(671\) −18.6576 18.6576i −0.720267 0.720267i
\(672\) 3.63298 + 0.973453i 0.140145 + 0.0375518i
\(673\) 0.984464 + 3.67407i 0.0379483 + 0.141625i 0.982301 0.187310i \(-0.0599769\pi\)
−0.944353 + 0.328935i \(0.893310\pi\)
\(674\) −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 −0.882440 0.470425i \(-0.844101\pi\)
0.470425 + 0.882440i \(0.344101\pi\)
\(678\) −10.1969 + 17.6616i −0.391610 + 0.678288i
\(679\) −58.2189 33.6127i −2.23423 1.28994i
\(680\) −3.37040 + 12.5020i −0.129249 + 0.479429i
\(681\) −15.2596 + 15.2596i −0.584750 + 0.584750i
\(682\) 15.3431 8.85834i 0.587517 0.339203i
\(683\) −13.6791 + 7.89765i −0.523417 + 0.302195i −0.738332 0.674438i \(-0.764386\pi\)
0.214914 + 0.976633i \(0.431053\pi\)
\(684\) −2.48833 + 2.48833i −0.0951437 + 0.0951437i
\(685\) 35.0831 20.1837i 1.34045 0.771180i
\(686\) −0.475989 0.274813i −0.0181734 0.0104924i
\(687\) −6.67001 + 11.5528i −0.254477 + 0.440767i
\(688\) −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 \(0.989712\pi\)
\(692\) −0.704267 2.62836i −0.0267722 0.0999153i
\(693\) −18.1002 4.84992i −0.687568 0.184233i
\(694\) 4.79034 + 4.79034i 0.181839 + 0.181839i
\(695\) 6.78805 + 11.7989i 0.257486 + 0.447558i
\(696\) −1.09861 + 4.10006i −0.0416426 + 0.155412i
\(697\) −47.0915 −1.78372
\(698\) −2.76578 + 10.3220i −0.104686 + 0.390695i
\(699\) −6.10061 + 10.5666i −0.230746 + 0.399664i
\(700\) −9.45263 + 16.2573i −0.357276 + 0.614470i
\(701\) 22.5243i 0.850729i −0.905022 0.425365i \(-0.860146\pi\)
0.905022 0.425365i \(-0.139854\pi\)
\(702\) 0.500979 + 3.57058i 0.0189082 + 0.134763i
\(703\) 4.23655 + 4.23655i 0.159785 + 0.159785i
\(704\) −4.81242 + 1.28948i −0.181375 + 0.0485992i
\(705\) −5.28510 19.8457i −0.199048 0.747431i
\(706\) 16.7759 9.68559i 0.631370 0.364522i
\(707\) 16.1019i 0.605575i
\(708\) −2.84800 4.93287i −0.107034 0.185389i
\(709\) −4.86426 1.30338i −0.182681 0.0489493i 0.166319 0.986072i \(-0.446812\pi\)
−0.349000 + 0.937123i \(0.613479\pi\)
\(710\) −18.0518 + 17.9967i −0.677473 + 0.675403i
\(711\) −2.33345 4.04166i −0.0875113 0.151574i
\(712\) 13.4022 3.59112i 0.502270 0.134583i
\(713\) −17.7667 10.2576i −0.665367 0.384150i
\(714\) 21.7795 0.815076
\(715\) −39.7865 + 5.52029i −1.48793 + 0.206447i
\(716\) −10.3818 −0.387988
\(717\) 5.10782 + 2.94900i 0.190755 + 0.110132i
\(718\) −30.8345 + 8.26208i −1.15073 + 0.308338i
\(719\) 17.5027 + 30.3156i 0.652741 + 1.13058i 0.982455 + 0.186500i \(0.0597144\pi\)
−0.329714 + 0.944081i \(0.606952\pi\)
\(720\) −2.23607 0.00342112i −0.0833332 0.000127498i
\(721\) 29.5822 + 7.92652i 1.10170 + 0.295199i
\(722\) −3.30821 5.72998i −0.123119 0.213248i
\(723\) 20.0285i 0.744870i
\(724\) 0.00258702 0.00149362i 9.61458e−5 5.55098e-5i
\(725\) −18.3475 10.6679i −0.681409 0.396197i
\(726\) 13.3512 3.57743i 0.495508 0.132771i
\(727\) 23.3980 + 23.3980i 0.867783 + 0.867783i 0.992227 0.124444i \(-0.0397147\pi\)
−0.124444 + 0.992227i \(0.539715\pi\)
\(728\) −5.29584 12.4841i −0.196277 0.462693i
\(729\) 1.00000i 0.0370370i
\(730\) −10.2056 5.91305i −0.377727 0.218852i
\(731\) −1.80445 + 3.12540i −0.0667400 + 0.115597i
\(732\) −1.37071 + 5.11557i −0.0506630 + 0.189077i
\(733\) 4.64195 0.171454 0.0857271 0.996319i \(-0.472679\pi\)
0.0857271 + 0.996319i \(0.472679\pi\)
\(734\) 4.08480 15.2447i 0.150773 0.562692i
\(735\) 15.4284 + 4.15934i 0.569086 + 0.153420i
\(736\) 4.07941 + 4.07941i 0.150369 + 0.150369i
\(737\) 25.9091 + 6.94232i 0.954373 + 0.255724i
\(738\) −2.10480 7.85522i −0.0774788 0.289155i
\(739\) −10.1270 37.7945i −0.372528 1.39029i −0.856923 0.515444i \(-0.827627\pi\)
0.484396 0.874849i \(-0.339040\pi\)
\(740\) −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
\(743\) 1.95703 3.38967i 0.0717964 0.124355i −0.827892 0.560887i \(-0.810460\pi\)
0.899689 + 0.436532i \(0.143793\pi\)
\(744\) −3.07959 1.77800i −0.112903 0.0651848i
\(745\) 26.7994 + 7.22485i 0.981855 + 0.264698i
\(746\) −8.81505 + 8.81505i −0.322742 + 0.322742i
\(747\) 0.747969 0.431840i 0.0273667 0.0158002i
\(748\) −24.9849 + 14.4251i −0.913540 + 0.527433i
\(749\) −11.0806 + 11.0806i −0.404877 + 0.404877i
\(750\) 2.94322 10.7860i 0.107471 0.393848i
\(751\) 27.1308 + 15.6640i 0.990018 + 0.571587i 0.905280 0.424816i \(-0.139661\pi\)
0.0847385 + 0.996403i \(0.472995\pi\)
\(752\) −4.59229 + 7.95408i −0.167464 + 0.290055i
\(753\) −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
\(757\) 5.27833 + 19.6990i 0.191844 + 0.715973i 0.993061 + 0.117599i \(0.0375196\pi\)
−0.801217 + 0.598374i \(0.795814\pi\)
\(758\) 31.0709 + 8.32543i 1.12855 + 0.302393i
\(759\) −20.3244 20.3244i −0.737729 0.737729i
\(760\) −2.04822 + 7.59755i −0.0742968 + 0.275592i
\(761\) −3.01185 + 11.2404i −0.109180 + 0.407464i −0.998786 0.0492648i \(-0.984312\pi\)
0.889606 + 0.456728i \(0.150979\pi\)
\(762\) 11.7338 0.425071
\(763\) 6.45875 24.1044i 0.233822 0.872637i
\(764\) −1.39117 + 2.40958i −0.0503308 + 0.0871755i
\(765\) −12.5122 + 3.33213i −0.452380 + 0.120473i
\(766\) 0.966546i 0.0349227i
\(767\) −7.69772 + 19.0400i −0.277949 + 0.687494i
\(768\) 0.707107 + 0.707107i 0.0255155 + 0.0255155i
\(769\) 25.8288 6.92080i 0.931409 0.249570i 0.238954 0.971031i \(-0.423196\pi\)
0.692455 + 0.721461i \(0.256529\pi\)