Properties

Label 390.2.bd.b.7.3
Level $390$
Weight $2$
Character 390.7
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 7.3
Root \(0.277956 + 0.213283i\) of defining polynomial
Character \(\chi\) \(=\) 390.7
Dual form 390.2.bd.b.223.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(0.258819 + 0.965926i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.860320 + 2.06394i) q^{5} +(-0.258819 + 0.965926i) q^{6} +(0.259847 + 0.450069i) q^{7} +1.00000i q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(0.258819 + 0.965926i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.860320 + 2.06394i) q^{5} +(-0.258819 + 0.965926i) q^{6} +(0.259847 + 0.450069i) q^{7} +1.00000i q^{8} +(-0.866025 + 0.500000i) q^{9} +(-1.77703 + 1.35727i) q^{10} +(0.222514 + 0.830435i) q^{11} +(-0.707107 + 0.707107i) q^{12} +(-3.14490 - 1.76341i) q^{13} +0.519695i q^{14} +(-2.21628 - 0.296818i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(4.08479 + 1.09452i) q^{17} -1.00000 q^{18} +(-0.0538940 - 0.0144409i) q^{19} +(-2.21758 + 0.286912i) q^{20} +(-0.367480 + 0.367480i) q^{21} +(-0.222514 + 0.830435i) q^{22} +(0.177222 - 0.0474866i) q^{23} +(-0.965926 + 0.258819i) q^{24} +(-3.51970 - 3.55130i) q^{25} +(-1.84186 - 3.09961i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(-0.259847 + 0.450069i) q^{28} +(6.27365 + 3.62210i) q^{29} +(-1.77095 - 1.36519i) q^{30} +(3.09986 + 3.09986i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-0.744548 + 0.429865i) q^{33} +(2.99027 + 2.99027i) q^{34} +(-1.15247 + 0.149107i) q^{35} +(-0.866025 - 0.500000i) q^{36} +(0.112851 - 0.195463i) q^{37} +(-0.0394531 - 0.0394531i) q^{38} +(0.889363 - 3.49414i) q^{39} +(-2.06394 - 0.860320i) q^{40} +(-0.0280536 + 0.00751694i) q^{41} +(-0.501987 + 0.134507i) q^{42} +(1.24134 - 4.63274i) q^{43} +(-0.607921 + 0.607921i) q^{44} +(-0.286912 - 2.21758i) q^{45} +(0.177222 + 0.0474866i) q^{46} +5.53738 q^{47} +(-0.965926 - 0.258819i) q^{48} +(3.36496 - 5.82828i) q^{49} +(-1.27250 - 4.83536i) q^{50} +4.22888i q^{51} +(-0.0452920 - 3.60527i) q^{52} +(2.49867 - 2.49867i) q^{53} +(-0.258819 - 0.965926i) q^{54} +(-1.90540 - 0.255183i) q^{55} +(-0.450069 + 0.259847i) q^{56} -0.0557952i q^{57} +(3.62210 + 6.27365i) q^{58} +(1.31167 - 4.89521i) q^{59} +(-0.851088 - 2.06776i) q^{60} +(7.21773 + 12.5015i) q^{61} +(1.13463 + 4.23449i) q^{62} +(-0.450069 - 0.259847i) q^{63} -1.00000 q^{64} +(6.34519 - 4.97379i) q^{65} -0.859730 q^{66} +(-11.8766 - 6.85698i) q^{67} +(1.09452 + 4.08479i) q^{68} +(0.0917371 + 0.158893i) q^{69} +(-1.07262 - 0.447104i) q^{70} +(-1.78083 + 6.64614i) q^{71} +(-0.500000 - 0.866025i) q^{72} -2.40525i q^{73} +(0.195463 - 0.112851i) q^{74} +(2.51932 - 4.31891i) q^{75} +(-0.0144409 - 0.0538940i) q^{76} +(-0.315933 + 0.315933i) q^{77} +(2.51728 - 2.58133i) q^{78} -16.0201i q^{79} +(-1.35727 - 1.77703i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-0.0280536 - 0.00751694i) q^{82} -4.83100 q^{83} +(-0.501987 - 0.134507i) q^{84} +(-5.77324 + 7.48913i) q^{85} +(3.39140 - 3.39140i) q^{86} +(-1.87494 + 6.99735i) q^{87} +(-0.830435 + 0.222514i) q^{88} +(14.9100 - 3.99511i) q^{89} +(0.860320 - 2.06394i) q^{90} +(-0.0235380 - 1.87364i) q^{91} +(0.129736 + 0.129736i) q^{92} +(-2.19193 + 3.79654i) q^{93} +(4.79551 + 2.76869i) q^{94} +(0.0761711 - 0.0988102i) q^{95} +(-0.707107 - 0.707107i) q^{96} +(-5.45027 + 3.14672i) q^{97} +(5.82828 - 3.36496i) q^{98} +(-0.607921 - 0.607921i) 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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{11}{12}\right)\)

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
\(3\) 0.258819 + 0.965926i 0.149429 + 0.557678i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.860320 + 2.06394i −0.384747 + 0.923022i
\(6\) −0.258819 + 0.965926i −0.105662 + 0.394338i
\(7\) 0.259847 + 0.450069i 0.0982131 + 0.170110i 0.910945 0.412528i \(-0.135354\pi\)
−0.812732 + 0.582638i \(0.802021\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.866025 + 0.500000i −0.288675 + 0.166667i
\(10\) −1.77703 + 1.35727i −0.561946 + 0.429205i
\(11\) 0.222514 + 0.830435i 0.0670906 + 0.250386i 0.991324 0.131443i \(-0.0419611\pi\)
−0.924233 + 0.381829i \(0.875294\pi\)
\(12\) −0.707107 + 0.707107i −0.204124 + 0.204124i
\(13\) −3.14490 1.76341i −0.872238 0.489082i
\(14\) 0.519695i 0.138894i
\(15\) −2.21628 0.296818i −0.572241 0.0766380i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 4.08479 + 1.09452i 0.990707 + 0.265459i 0.717547 0.696510i \(-0.245265\pi\)
0.273159 + 0.961969i \(0.411931\pi\)
\(18\) −1.00000 −0.235702
\(19\) −0.0538940 0.0144409i −0.0123641 0.00331296i 0.252632 0.967563i \(-0.418704\pi\)
−0.264996 + 0.964250i \(0.585371\pi\)
\(20\) −2.21758 + 0.286912i −0.495867 + 0.0641554i
\(21\) −0.367480 + 0.367480i −0.0801907 + 0.0801907i
\(22\) −0.222514 + 0.830435i −0.0474402 + 0.177049i
\(23\) 0.177222 0.0474866i 0.0369534 0.00990164i −0.240295 0.970700i \(-0.577244\pi\)
0.277248 + 0.960798i \(0.410578\pi\)
\(24\) −0.965926 + 0.258819i −0.197169 + 0.0528312i
\(25\) −3.51970 3.55130i −0.703940 0.710259i
\(26\) −1.84186 3.09961i −0.361218 0.607883i
\(27\) −0.707107 0.707107i −0.136083 0.136083i
\(28\) −0.259847 + 0.450069i −0.0491066 + 0.0850550i
\(29\) 6.27365 + 3.62210i 1.16499 + 0.672606i 0.952494 0.304556i \(-0.0985081\pi\)
0.212494 + 0.977162i \(0.431841\pi\)
\(30\) −1.77095 1.36519i −0.323329 0.249249i
\(31\) 3.09986 + 3.09986i 0.556752 + 0.556752i 0.928381 0.371629i \(-0.121201\pi\)
−0.371629 + 0.928381i \(0.621201\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) −0.744548 + 0.429865i −0.129609 + 0.0748299i
\(34\) 2.99027 + 2.99027i 0.512828 + 0.512828i
\(35\) −1.15247 + 0.149107i −0.194803 + 0.0252036i
\(36\) −0.866025 0.500000i −0.144338 0.0833333i
\(37\) 0.112851 0.195463i 0.0185525 0.0321339i −0.856600 0.515981i \(-0.827428\pi\)
0.875153 + 0.483847i \(0.160761\pi\)
\(38\) −0.0394531 0.0394531i −0.00640014 0.00640014i
\(39\) 0.889363 3.49414i 0.142412 0.559511i
\(40\) −2.06394 0.860320i −0.326338 0.136028i
\(41\) −0.0280536 + 0.00751694i −0.00438124 + 0.00117395i −0.261009 0.965336i \(-0.584055\pi\)
0.256628 + 0.966510i \(0.417389\pi\)
\(42\) −0.501987 + 0.134507i −0.0774582 + 0.0207549i
\(43\) 1.24134 4.63274i 0.189303 0.706487i −0.804366 0.594134i \(-0.797495\pi\)
0.993668 0.112352i \(-0.0358385\pi\)
\(44\) −0.607921 + 0.607921i −0.0916475 + 0.0916475i
\(45\) −0.286912 2.21758i −0.0427703 0.330578i
\(46\) 0.177222 + 0.0474866i 0.0261300 + 0.00700152i
\(47\) 5.53738 0.807710 0.403855 0.914823i \(-0.367670\pi\)
0.403855 + 0.914823i \(0.367670\pi\)
\(48\) −0.965926 0.258819i −0.139419 0.0373573i
\(49\) 3.36496 5.82828i 0.480708 0.832611i
\(50\) −1.27250 4.83536i −0.179959 0.683824i
\(51\) 4.22888i 0.592162i
\(52\) −0.0452920 3.60527i −0.00628087 0.499961i
\(53\) 2.49867 2.49867i 0.343219 0.343219i −0.514357 0.857576i \(-0.671969\pi\)
0.857576 + 0.514357i \(0.171969\pi\)
\(54\) −0.258819 0.965926i −0.0352208 0.131446i
\(55\) −1.90540 0.255183i −0.256924 0.0344089i
\(56\) −0.450069 + 0.259847i −0.0601430 + 0.0347236i
\(57\) 0.0557952i 0.00739025i
\(58\) 3.62210 + 6.27365i 0.475605 + 0.823771i
\(59\) 1.31167 4.89521i 0.170765 0.637302i −0.826470 0.562981i \(-0.809654\pi\)
0.997234 0.0743209i \(-0.0236789\pi\)
\(60\) −0.851088 2.06776i −0.109875 0.266947i
\(61\) 7.21773 + 12.5015i 0.924135 + 1.60065i 0.792946 + 0.609292i \(0.208546\pi\)
0.131189 + 0.991357i \(0.458120\pi\)
\(62\) 1.13463 + 4.23449i 0.144098 + 0.537781i
\(63\) −0.450069 0.259847i −0.0567034 0.0327377i
\(64\) −1.00000 −0.125000
\(65\) 6.34519 4.97379i 0.787024 0.616922i
\(66\) −0.859730 −0.105825
\(67\) −11.8766 6.85698i −1.45096 0.837713i −0.452426 0.891802i \(-0.649441\pi\)
−0.998536 + 0.0540887i \(0.982775\pi\)
\(68\) 1.09452 + 4.08479i 0.132730 + 0.495353i
\(69\) 0.0917371 + 0.158893i 0.0110438 + 0.0191285i
\(70\) −1.07262 0.447104i −0.128203 0.0534391i
\(71\) −1.78083 + 6.64614i −0.211345 + 0.788752i 0.776076 + 0.630640i \(0.217207\pi\)
−0.987421 + 0.158112i \(0.949459\pi\)
\(72\) −0.500000 0.866025i −0.0589256 0.102062i
\(73\) 2.40525i 0.281513i −0.990044 0.140756i \(-0.955047\pi\)
0.990044 0.140756i \(-0.0449534\pi\)
\(74\) 0.195463 0.112851i 0.0227221 0.0131186i
\(75\) 2.51932 4.31891i 0.290906 0.498705i
\(76\) −0.0144409 0.0538940i −0.00165648 0.00618206i
\(77\) −0.315933 + 0.315933i −0.0360039 + 0.0360039i
\(78\) 2.51728 2.58133i 0.285026 0.292279i
\(79\) 16.0201i 1.80240i −0.433402 0.901201i \(-0.642687\pi\)
0.433402 0.901201i \(-0.357313\pi\)
\(80\) −1.35727 1.77703i −0.151747 0.198678i
\(81\) 0.500000 0.866025i 0.0555556 0.0962250i
\(82\) −0.0280536 0.00751694i −0.00309800 0.000830108i
\(83\) −4.83100 −0.530271 −0.265136 0.964211i \(-0.585417\pi\)
−0.265136 + 0.964211i \(0.585417\pi\)
\(84\) −0.501987 0.134507i −0.0547712 0.0146759i
\(85\) −5.77324 + 7.48913i −0.626196 + 0.812310i
\(86\) 3.39140 3.39140i 0.365704 0.365704i
\(87\) −1.87494 + 6.99735i −0.201014 + 0.750195i
\(88\) −0.830435 + 0.222514i −0.0885247 + 0.0237201i
\(89\) 14.9100 3.99511i 1.58045 0.423481i 0.641386 0.767218i \(-0.278360\pi\)
0.939066 + 0.343737i \(0.111693\pi\)
\(90\) 0.860320 2.06394i 0.0906856 0.217558i
\(91\) −0.0235380 1.87364i −0.00246745 0.196411i
\(92\) 0.129736 + 0.129736i 0.0135259 + 0.0135259i
\(93\) −2.19193 + 3.79654i −0.227293 + 0.393683i
\(94\) 4.79551 + 2.76869i 0.494619 + 0.285569i
\(95\) 0.0761711 0.0988102i 0.00781499 0.0101377i
\(96\) −0.707107 0.707107i −0.0721688 0.0721688i
\(97\) −5.45027 + 3.14672i −0.553392 + 0.319501i −0.750489 0.660883i \(-0.770182\pi\)
0.197097 + 0.980384i \(0.436849\pi\)
\(98\) 5.82828 3.36496i 0.588745 0.339912i
\(99\) −0.607921 0.607921i −0.0610983 0.0610983i
\(100\) 1.31566 4.82380i 0.131566 0.482380i
\(101\) 4.39076 + 2.53501i 0.436897 + 0.252243i 0.702281 0.711900i \(-0.252165\pi\)
−0.265384 + 0.964143i \(0.585499\pi\)
\(102\) −2.11444 + 3.66232i −0.209361 + 0.362624i
\(103\) −5.95248 5.95248i −0.586515 0.586515i 0.350171 0.936686i \(-0.386124\pi\)
−0.936686 + 0.350171i \(0.886124\pi\)
\(104\) 1.76341 3.14490i 0.172917 0.308383i
\(105\) −0.442306 1.07461i −0.0431647 0.104871i
\(106\) 3.41325 0.914577i 0.331524 0.0888315i
\(107\) 6.77519 1.81541i 0.654982 0.175502i 0.0840016 0.996466i \(-0.473230\pi\)
0.570980 + 0.820964i \(0.306563\pi\)
\(108\) 0.258819 0.965926i 0.0249049 0.0929463i
\(109\) −6.23531 + 6.23531i −0.597235 + 0.597235i −0.939576 0.342341i \(-0.888780\pi\)
0.342341 + 0.939576i \(0.388780\pi\)
\(110\) −1.52254 1.17370i −0.145168 0.111908i
\(111\) 0.218011 + 0.0584158i 0.0206927 + 0.00554458i
\(112\) −0.519695 −0.0491066
\(113\) −5.64837 1.51348i −0.531354 0.142376i −0.0168406 0.999858i \(-0.505361\pi\)
−0.514513 + 0.857482i \(0.672027\pi\)
\(114\) 0.0278976 0.0483200i 0.00261285 0.00452559i
\(115\) −0.0544584 + 0.406630i −0.00507827 + 0.0379185i
\(116\) 7.24419i 0.672606i
\(117\) 3.60527 0.0452920i 0.333307 0.00418725i
\(118\) 3.58354 3.58354i 0.329892 0.329892i
\(119\) 0.568814 + 2.12284i 0.0521431 + 0.194601i
\(120\) 0.296818 2.21628i 0.0270956 0.202318i
\(121\) 8.88617 5.13043i 0.807834 0.466403i
\(122\) 14.4355i 1.30692i
\(123\) −0.0145216 0.0251522i −0.00130937 0.00226790i
\(124\) −1.13463 + 4.23449i −0.101893 + 0.380268i
\(125\) 10.3577 4.20920i 0.926424 0.376482i
\(126\) −0.259847 0.450069i −0.0231491 0.0400953i
\(127\) −2.69043 10.0408i −0.238737 0.890979i −0.976429 0.215841i \(-0.930751\pi\)
0.737691 0.675138i \(-0.235916\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) 4.79617 0.422279
\(130\) 7.98199 1.13483i 0.700067 0.0995313i
\(131\) −17.3948 −1.51979 −0.759894 0.650047i \(-0.774749\pi\)
−0.759894 + 0.650047i \(0.774749\pi\)
\(132\) −0.744548 0.429865i −0.0648046 0.0374149i
\(133\) −0.00750484 0.0280084i −0.000650752 0.00242864i
\(134\) −6.85698 11.8766i −0.592353 1.02599i
\(135\) 2.06776 0.851088i 0.177965 0.0732500i
\(136\) −1.09452 + 4.08479i −0.0938540 + 0.350268i
\(137\) 4.54350 + 7.86958i 0.388178 + 0.672343i 0.992204 0.124621i \(-0.0397714\pi\)
−0.604027 + 0.796964i \(0.706438\pi\)
\(138\) 0.183474i 0.0156184i
\(139\) −2.33716 + 1.34936i −0.198236 + 0.114451i −0.595832 0.803109i \(-0.703178\pi\)
0.397597 + 0.917560i \(0.369844\pi\)
\(140\) −0.705364 0.923513i −0.0596141 0.0780511i
\(141\) 1.43318 + 5.34870i 0.120695 + 0.450442i
\(142\) −4.86531 + 4.86531i −0.408288 + 0.408288i
\(143\) 0.764612 3.00402i 0.0639401 0.251209i
\(144\) 1.00000i 0.0833333i
\(145\) −12.8731 + 9.83229i −1.06906 + 0.816527i
\(146\) 1.20262 2.08300i 0.0995298 0.172391i
\(147\) 6.50060 + 1.74183i 0.536161 + 0.143664i
\(148\) 0.225701 0.0185525
\(149\) −4.01632 1.07617i −0.329029 0.0881632i 0.0905228 0.995894i \(-0.471146\pi\)
−0.419552 + 0.907731i \(0.637813\pi\)
\(150\) 4.34125 2.48063i 0.354462 0.202542i
\(151\) 2.79391 2.79391i 0.227365 0.227365i −0.584226 0.811591i \(-0.698602\pi\)
0.811591 + 0.584226i \(0.198602\pi\)
\(152\) 0.0144409 0.0538940i 0.00117131 0.00437138i
\(153\) −4.08479 + 1.09452i −0.330236 + 0.0884864i
\(154\) −0.431573 + 0.115640i −0.0347771 + 0.00931851i
\(155\) −9.06480 + 3.73106i −0.728102 + 0.299686i
\(156\) 3.47070 0.976860i 0.277878 0.0782114i
\(157\) −9.39011 9.39011i −0.749413 0.749413i 0.224956 0.974369i \(-0.427776\pi\)
−0.974369 + 0.224956i \(0.927776\pi\)
\(158\) 8.01005 13.8738i 0.637245 1.10374i
\(159\) 3.06023 + 1.76683i 0.242692 + 0.140118i
\(160\) −0.286912 2.21758i −0.0226824 0.175315i
\(161\) 0.0674231 + 0.0674231i 0.00531368 + 0.00531368i
\(162\) 0.866025 0.500000i 0.0680414 0.0392837i
\(163\) −19.7602 + 11.4085i −1.54773 + 0.893585i −0.549420 + 0.835546i \(0.685151\pi\)
−0.998314 + 0.0580388i \(0.981515\pi\)
\(164\) −0.0205367 0.0205367i −0.00160364 0.00160364i
\(165\) −0.246666 1.90652i −0.0192030 0.148423i
\(166\) −4.18377 2.41550i −0.324723 0.187479i
\(167\) −6.65800 + 11.5320i −0.515211 + 0.892372i 0.484633 + 0.874718i \(0.338953\pi\)
−0.999844 + 0.0176545i \(0.994380\pi\)
\(168\) −0.367480 0.367480i −0.0283517 0.0283517i
\(169\) 6.78077 + 11.0915i 0.521598 + 0.853191i
\(170\) −8.74434 + 3.59915i −0.670660 + 0.276043i
\(171\) 0.0538940 0.0144409i 0.00412138 0.00110432i
\(172\) 4.63274 1.24134i 0.353243 0.0946513i
\(173\) −4.99132 + 18.6279i −0.379483 + 1.41625i 0.467199 + 0.884152i \(0.345263\pi\)
−0.846682 + 0.532099i \(0.821403\pi\)
\(174\) −5.12242 + 5.12242i −0.388329 + 0.388329i
\(175\) 0.683743 2.50690i 0.0516861 0.189504i
\(176\) −0.830435 0.222514i −0.0625964 0.0167727i
\(177\) 5.06789 0.380926
\(178\) 14.9100 + 3.99511i 1.11755 + 0.299446i
\(179\) 10.1381 17.5596i 0.757754 1.31247i −0.186240 0.982504i \(-0.559630\pi\)
0.943994 0.329964i \(-0.107037\pi\)
\(180\) 1.77703 1.35727i 0.132452 0.101165i
\(181\) 14.3123i 1.06382i 0.846799 + 0.531912i \(0.178526\pi\)
−0.846799 + 0.531912i \(0.821474\pi\)
\(182\) 0.916435 1.63439i 0.0679307 0.121149i
\(183\) −10.2074 + 10.2074i −0.754553 + 0.754553i
\(184\) 0.0474866 + 0.177222i 0.00350076 + 0.0130650i
\(185\) 0.306336 + 0.401078i 0.0225223 + 0.0294878i
\(186\) −3.79654 + 2.19193i −0.278376 + 0.160720i
\(187\) 3.63570i 0.265869i
\(188\) 2.76869 + 4.79551i 0.201927 + 0.349749i
\(189\) 0.134507 0.501987i 0.00978394 0.0365142i
\(190\) 0.115371 0.0474866i 0.00836991 0.00344504i
\(191\) −6.39485 11.0762i −0.462715 0.801446i 0.536380 0.843977i \(-0.319791\pi\)
−0.999095 + 0.0425302i \(0.986458\pi\)
\(192\) −0.258819 0.965926i −0.0186787 0.0697097i
\(193\) −1.91307 1.10451i −0.137706 0.0795045i 0.429564 0.903036i \(-0.358667\pi\)
−0.567270 + 0.823532i \(0.692000\pi\)
\(194\) −6.29344 −0.451842
\(195\) 6.44657 + 4.84167i 0.461648 + 0.346719i
\(196\) 6.72992 0.480708
\(197\) −10.5133 6.06986i −0.749042 0.432460i 0.0763056 0.997084i \(-0.475688\pi\)
−0.825348 + 0.564625i \(0.809021\pi\)
\(198\) −0.222514 0.830435i −0.0158134 0.0590165i
\(199\) 2.03805 + 3.53001i 0.144474 + 0.250236i 0.929176 0.369636i \(-0.120518\pi\)
−0.784703 + 0.619872i \(0.787184\pi\)
\(200\) 3.55130 3.51970i 0.251115 0.248880i
\(201\) 3.54943 13.2467i 0.250358 0.934348i
\(202\) 2.53501 + 4.39076i 0.178362 + 0.308933i
\(203\) 3.76477i 0.264235i
\(204\) −3.66232 + 2.11444i −0.256414 + 0.148041i
\(205\) 0.00862055 0.0643680i 0.000602085 0.00449565i
\(206\) −2.17876 8.13124i −0.151801 0.566530i
\(207\) −0.129736 + 0.129736i −0.00901727 + 0.00901727i
\(208\) 3.09961 1.84186i 0.214919 0.127710i
\(209\) 0.0479688i 0.00331807i
\(210\) 0.154255 1.15179i 0.0106446 0.0794810i
\(211\) 7.38509 12.7914i 0.508411 0.880593i −0.491542 0.870854i \(-0.663567\pi\)
0.999953 0.00973918i \(-0.00310013\pi\)
\(212\) 3.41325 + 0.914577i 0.234423 + 0.0628134i
\(213\) −6.88059 −0.471450
\(214\) 6.77519 + 1.81541i 0.463142 + 0.124099i
\(215\) 8.49376 + 6.54769i 0.579269 + 0.446549i
\(216\) 0.707107 0.707107i 0.0481125 0.0481125i
\(217\) −0.589661 + 2.20064i −0.0400288 + 0.149389i
\(218\) −8.51759 + 2.28228i −0.576884 + 0.154576i
\(219\) 2.32329 0.622524i 0.156993 0.0420662i
\(220\) −0.731706 1.77772i −0.0493316 0.119854i
\(221\) −10.9162 10.6453i −0.734301 0.716080i
\(222\) 0.159595 + 0.159595i 0.0107113 + 0.0107113i
\(223\) 1.58981 2.75364i 0.106462 0.184397i −0.807873 0.589357i \(-0.799381\pi\)
0.914334 + 0.404960i \(0.132714\pi\)
\(224\) −0.450069 0.259847i −0.0300715 0.0173618i
\(225\) 4.82380 + 1.31566i 0.321587 + 0.0877109i
\(226\) −4.13489 4.13489i −0.275049 0.275049i
\(227\) −25.0852 + 14.4830i −1.66496 + 0.961267i −0.694673 + 0.719326i \(0.744451\pi\)
−0.970291 + 0.241942i \(0.922216\pi\)
\(228\) 0.0483200 0.0278976i 0.00320007 0.00184756i
\(229\) 8.53343 + 8.53343i 0.563905 + 0.563905i 0.930414 0.366509i \(-0.119447\pi\)
−0.366509 + 0.930414i \(0.619447\pi\)
\(230\) −0.250478 + 0.324923i −0.0165160 + 0.0214248i
\(231\) −0.386938 0.223399i −0.0254586 0.0146985i
\(232\) −3.62210 + 6.27365i −0.237802 + 0.411886i
\(233\) −7.11568 7.11568i −0.466164 0.466164i 0.434505 0.900669i \(-0.356923\pi\)
−0.900669 + 0.434505i \(0.856923\pi\)
\(234\) 3.14490 + 1.76341i 0.205588 + 0.115278i
\(235\) −4.76392 + 11.4288i −0.310764 + 0.745534i
\(236\) 4.89521 1.31167i 0.318651 0.0853823i
\(237\) 15.4742 4.14631i 1.00516 0.269331i
\(238\) −0.568814 + 2.12284i −0.0368708 + 0.137604i
\(239\) −15.7046 + 15.7046i −1.01584 + 1.01584i −0.0159718 + 0.999872i \(0.505084\pi\)
−0.999872 + 0.0159718i \(0.994916\pi\)
\(240\) 1.36519 1.77095i 0.0881228 0.114314i
\(241\) 24.1684 + 6.47591i 1.55682 + 0.417150i 0.931656 0.363341i \(-0.118364\pi\)
0.625168 + 0.780490i \(0.285031\pi\)
\(242\) 10.2609 0.659593
\(243\) 0.965926 + 0.258819i 0.0619642 + 0.0166032i
\(244\) −7.21773 + 12.5015i −0.462068 + 0.800325i
\(245\) 9.13428 + 11.9593i 0.583568 + 0.764049i
\(246\) 0.0290432i 0.00185173i
\(247\) 0.144026 + 0.140452i 0.00916415 + 0.00893676i
\(248\) −3.09986 + 3.09986i −0.196841 + 0.196841i
\(249\) −1.25035 4.66639i −0.0792380 0.295720i
\(250\) 11.0747 + 1.53359i 0.700423 + 0.0969928i
\(251\) −23.7056 + 13.6864i −1.49628 + 0.863878i −0.999991 0.00427828i \(-0.998638\pi\)
−0.496290 + 0.868157i \(0.665305\pi\)
\(252\) 0.519695i 0.0327377i
\(253\) 0.0788691 + 0.136605i 0.00495846 + 0.00858830i
\(254\) 2.69043 10.0408i 0.168813 0.630017i
\(255\) −8.72817 3.63819i −0.546579 0.227832i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −0.0669693 0.249933i −0.00417743 0.0155904i 0.963806 0.266606i \(-0.0859022\pi\)
−0.967983 + 0.251015i \(0.919236\pi\)
\(258\) 4.15360 + 2.39808i 0.258592 + 0.149298i
\(259\) 0.117296 0.00728840
\(260\) 7.48002 + 3.00820i 0.463891 + 0.186561i
\(261\) −7.24419 −0.448404
\(262\) −15.0643 8.69738i −0.930676 0.537326i
\(263\) −1.60883 6.00425i −0.0992050 0.370238i 0.898418 0.439140i \(-0.144717\pi\)
−0.997623 + 0.0689024i \(0.978050\pi\)
\(264\) −0.429865 0.744548i −0.0264564 0.0458238i
\(265\) 3.00745 + 7.30676i 0.184746 + 0.448851i
\(266\) 0.00750484 0.0280084i 0.000460151 0.00171731i
\(267\) 7.71796 + 13.3679i 0.472332 + 0.818102i
\(268\) 13.7140i 0.837713i
\(269\) −0.338208 + 0.195264i −0.0206209 + 0.0119055i −0.510275 0.860011i \(-0.670456\pi\)
0.489654 + 0.871917i \(0.337123\pi\)
\(270\) 2.21628 + 0.296818i 0.134879 + 0.0180638i
\(271\) −4.36922 16.3061i −0.265411 0.990528i −0.961998 0.273056i \(-0.911966\pi\)
0.696587 0.717472i \(-0.254701\pi\)
\(272\) −2.99027 + 2.99027i −0.181312 + 0.181312i
\(273\) 1.80370 0.507669i 0.109165 0.0307255i
\(274\) 9.08700i 0.548966i
\(275\) 2.16594 3.71310i 0.130611 0.223908i
\(276\) −0.0917371 + 0.158893i −0.00552192 + 0.00956425i
\(277\) −1.02095 0.273563i −0.0613430 0.0164368i 0.228017 0.973657i \(-0.426776\pi\)
−0.289360 + 0.957220i \(0.593442\pi\)
\(278\) −2.69872 −0.161859
\(279\) −4.23449 1.13463i −0.253512 0.0679284i
\(280\) −0.149107 1.15247i −0.00891082 0.0688731i
\(281\) 9.59800 9.59800i 0.572568 0.572568i −0.360277 0.932845i \(-0.617318\pi\)
0.932845 + 0.360277i \(0.117318\pi\)
\(282\) −1.43318 + 5.34870i −0.0853446 + 0.318510i
\(283\) 9.27878 2.48624i 0.551566 0.147792i 0.0277374 0.999615i \(-0.491170\pi\)
0.523829 + 0.851823i \(0.324503\pi\)
\(284\) −6.64614 + 1.78083i −0.394376 + 0.105673i
\(285\) 0.115158 + 0.0480017i 0.00682136 + 0.00284337i
\(286\) 2.16418 2.21925i 0.127971 0.131227i
\(287\) −0.0106728 0.0106728i −0.000629996 0.000629996i
\(288\) 0.500000 0.866025i 0.0294628 0.0510310i
\(289\) 0.765102 + 0.441732i 0.0450060 + 0.0259842i
\(290\) −16.0646 + 2.07844i −0.943346 + 0.122050i
\(291\) −4.45013 4.45013i −0.260871 0.260871i
\(292\) 2.08300 1.20262i 0.121899 0.0703782i
\(293\) −5.04648 + 2.91359i −0.294819 + 0.170214i −0.640113 0.768281i \(-0.721112\pi\)
0.345294 + 0.938494i \(0.387779\pi\)
\(294\) 4.75877 + 4.75877i 0.277537 + 0.277537i
\(295\) 8.97497 + 6.91865i 0.522543 + 0.402819i
\(296\) 0.195463 + 0.112851i 0.0113611 + 0.00655931i
\(297\) 0.429865 0.744548i 0.0249433 0.0432031i
\(298\) −2.94015 2.94015i −0.170318 0.170318i
\(299\) −0.641085 0.163175i −0.0370749 0.00943666i
\(300\) 4.99995 + 0.0223420i 0.288672 + 0.00128991i
\(301\) 2.40761 0.645118i 0.138772 0.0371840i
\(302\) 3.81656 1.02264i 0.219618 0.0588465i
\(303\) −1.31222 + 4.89726i −0.0753848 + 0.281340i
\(304\) 0.0394531 0.0394531i 0.00226279 0.00226279i
\(305\) −32.0118 + 4.14170i −1.83299 + 0.237153i
\(306\) −4.08479 1.09452i −0.233512 0.0625693i
\(307\) 4.52688 0.258363 0.129181 0.991621i \(-0.458765\pi\)
0.129181 + 0.991621i \(0.458765\pi\)
\(308\) −0.431573 0.115640i −0.0245912 0.00658918i
\(309\) 4.20904 7.29027i 0.239444 0.414729i
\(310\) −9.71588 1.30121i −0.551825 0.0739037i
\(311\) 27.6370i 1.56715i 0.621297 + 0.783575i \(0.286606\pi\)
−0.621297 + 0.783575i \(0.713394\pi\)
\(312\) 3.49414 + 0.889363i 0.197817 + 0.0503503i
\(313\) 22.4963 22.4963i 1.27157 1.27157i 0.326301 0.945266i \(-0.394198\pi\)
0.945266 0.326301i \(-0.105802\pi\)
\(314\) −3.43702 12.8271i −0.193962 0.723877i
\(315\) 0.923513 0.705364i 0.0520341 0.0397427i
\(316\) 13.8738 8.01005i 0.780463 0.450600i
\(317\) 1.80472i 0.101363i −0.998715 0.0506817i \(-0.983861\pi\)
0.998715 0.0506817i \(-0.0161394\pi\)
\(318\) 1.76683 + 3.06023i 0.0990787 + 0.171609i
\(319\) −1.61194 + 6.01583i −0.0902512 + 0.336822i
\(320\) 0.860320 2.06394i 0.0480933 0.115378i
\(321\) 3.50709 + 6.07447i 0.195747 + 0.339044i
\(322\) 0.0246786 + 0.0921016i 0.00137528 + 0.00513262i
\(323\) −0.204340 0.117976i −0.0113698 0.00656434i
\(324\) 1.00000 0.0555556
\(325\) 4.80671 + 17.3751i 0.266628 + 0.963799i
\(326\) −22.8171 −1.26372
\(327\) −7.63667 4.40903i −0.422309 0.243820i
\(328\) −0.00751694 0.0280536i −0.000415054 0.00154900i
\(329\) 1.43887 + 2.49220i 0.0793277 + 0.137400i
\(330\) 0.739642 1.77443i 0.0407160 0.0976792i
\(331\) 5.25635 19.6170i 0.288915 1.07825i −0.657015 0.753877i \(-0.728181\pi\)
0.945930 0.324369i \(-0.105152\pi\)
\(332\) −2.41550 4.18377i −0.132568 0.229614i
\(333\) 0.225701i 0.0123684i
\(334\) −11.5320 + 6.65800i −0.631002 + 0.364309i
\(335\) 24.3701 18.6135i 1.33148 1.01696i
\(336\) −0.134507 0.501987i −0.00733796 0.0273856i
\(337\) 16.0244 16.0244i 0.872903 0.872903i −0.119885 0.992788i \(-0.538253\pi\)
0.992788 + 0.119885i \(0.0382525\pi\)
\(338\) 0.326579 + 12.9959i 0.0177636 + 0.706884i
\(339\) 5.84762i 0.317599i
\(340\) −9.37239 1.25521i −0.508289 0.0680732i
\(341\) −1.88447 + 3.26400i −0.102050 + 0.176755i
\(342\) 0.0538940 + 0.0144409i 0.00291425 + 0.000780872i
\(343\) 7.13537 0.385274
\(344\) 4.63274 + 1.24134i 0.249781 + 0.0669285i
\(345\) −0.406870 + 0.0526409i −0.0219051 + 0.00283409i
\(346\) −13.6366 + 13.6366i −0.733106 + 0.733106i
\(347\) 9.33516 34.8393i 0.501138 1.87027i 0.00863072 0.999963i \(-0.497253\pi\)
0.492507 0.870309i \(-0.336081\pi\)
\(348\) −6.99735 + 1.87494i −0.375097 + 0.100507i
\(349\) 3.51575 0.942042i 0.188194 0.0504264i −0.163491 0.986545i \(-0.552276\pi\)
0.351685 + 0.936118i \(0.385609\pi\)
\(350\) 1.84559 1.82917i 0.0986510 0.0977733i
\(351\) 0.976860 + 3.47070i 0.0521410 + 0.185252i
\(352\) −0.607921 0.607921i −0.0324023 0.0324023i
\(353\) 14.1482 24.5055i 0.753034 1.30429i −0.193311 0.981137i \(-0.561923\pi\)
0.946346 0.323156i \(-0.104744\pi\)
\(354\) 4.38892 + 2.53395i 0.233269 + 0.134678i
\(355\) −12.1852 9.39333i −0.646721 0.498546i
\(356\) 10.9148 + 10.9148i 0.578486 + 0.578486i
\(357\) −1.90329 + 1.09886i −0.100733 + 0.0581581i
\(358\) 17.5596 10.1381i 0.928055 0.535813i
\(359\) −4.76749 4.76749i −0.251619 0.251619i 0.570015 0.821634i \(-0.306937\pi\)
−0.821634 + 0.570015i \(0.806937\pi\)
\(360\) 2.21758 0.286912i 0.116877 0.0151216i
\(361\) −16.4518 9.49844i −0.865884 0.499918i
\(362\) −7.15615 + 12.3948i −0.376119 + 0.651457i
\(363\) 7.25553 + 7.25553i 0.380816 + 0.380816i
\(364\) 1.61085 0.957204i 0.0844315 0.0501711i
\(365\) 4.96429 + 2.06928i 0.259843 + 0.108311i
\(366\) −13.9436 + 3.73617i −0.728843 + 0.195293i
\(367\) 30.0541 8.05298i 1.56881 0.420362i 0.633373 0.773847i \(-0.281670\pi\)
0.935440 + 0.353485i \(0.115003\pi\)
\(368\) −0.0474866 + 0.177222i −0.00247541 + 0.00923836i
\(369\) 0.0205367 0.0205367i 0.00106910 0.00106910i
\(370\) 0.0647563 + 0.500512i 0.00336652 + 0.0260204i
\(371\) 1.77385 + 0.475301i 0.0920935 + 0.0246764i
\(372\) −4.38387 −0.227293
\(373\) 21.8000 + 5.84130i 1.12876 + 0.302451i 0.774425 0.632666i \(-0.218039\pi\)
0.354338 + 0.935117i \(0.384706\pi\)
\(374\) −1.81785 + 3.14861i −0.0939987 + 0.162811i
\(375\) 6.74656 + 8.91538i 0.348391 + 0.460388i
\(376\) 5.53738i 0.285569i
\(377\) −13.3428 22.4541i −0.687188 1.15645i
\(378\) 0.367480 0.367480i 0.0189011 0.0189011i
\(379\) 3.85119 + 14.3728i 0.197822 + 0.738283i 0.991518 + 0.129968i \(0.0414875\pi\)
−0.793696 + 0.608315i \(0.791846\pi\)
\(380\) 0.123658 + 0.0165610i 0.00634351 + 0.000849561i
\(381\) 9.00236 5.19751i 0.461205 0.266277i
\(382\) 12.7897i 0.654378i
\(383\) 5.68179 + 9.84116i 0.290326 + 0.502860i 0.973887 0.227034i \(-0.0729029\pi\)
−0.683561 + 0.729894i \(0.739570\pi\)
\(384\) 0.258819 0.965926i 0.0132078 0.0492922i
\(385\) −0.380264 0.923871i −0.0193800 0.0470848i
\(386\) −1.10451 1.91307i −0.0562182 0.0973727i
\(387\) 1.24134 + 4.63274i 0.0631008 + 0.235496i
\(388\) −5.45027 3.14672i −0.276696 0.159750i
\(389\) −0.783134 −0.0397065 −0.0198532 0.999803i \(-0.506320\pi\)
−0.0198532 + 0.999803i \(0.506320\pi\)
\(390\) 3.16205 + 7.41629i 0.160117 + 0.375539i
\(391\) 0.775891 0.0392385
\(392\) 5.82828 + 3.36496i 0.294373 + 0.169956i
\(393\) −4.50210 16.8021i −0.227101 0.847552i
\(394\) −6.06986 10.5133i −0.305795 0.529653i
\(395\) 33.0645 + 13.7824i 1.66366 + 0.693468i
\(396\) 0.222514 0.830435i 0.0111818 0.0417309i
\(397\) −7.12070 12.3334i −0.357378 0.618996i 0.630144 0.776478i \(-0.282996\pi\)
−0.987522 + 0.157482i \(0.949662\pi\)
\(398\) 4.07610i 0.204317i
\(399\) 0.0251117 0.0144982i 0.00125716 0.000725819i
\(400\) 4.83536 1.27250i 0.241768 0.0636251i
\(401\) −8.08823 30.1857i −0.403907 1.50740i −0.806062 0.591830i \(-0.798405\pi\)
0.402155 0.915571i \(-0.368261\pi\)
\(402\) 9.69723 9.69723i 0.483654 0.483654i
\(403\) −4.28243 15.2151i −0.213323 0.757917i
\(404\) 5.07001i 0.252243i
\(405\) 1.35727 + 1.77703i 0.0674430 + 0.0883013i
\(406\) −1.88239 + 3.26039i −0.0934212 + 0.161810i
\(407\) 0.187430 + 0.0502218i 0.00929057 + 0.00248940i
\(408\) −4.22888 −0.209361
\(409\) −32.5735 8.72803i −1.61065 0.431573i −0.662416 0.749136i \(-0.730469\pi\)
−0.948237 + 0.317563i \(0.897136\pi\)
\(410\) 0.0396496 0.0514340i 0.00195815 0.00254015i
\(411\) −6.42548 + 6.42548i −0.316946 + 0.316946i
\(412\) 2.17876 8.13124i 0.107340 0.400597i
\(413\) 2.54402 0.681667i 0.125183 0.0335426i
\(414\) −0.177222 + 0.0474866i −0.00871001 + 0.00233384i
\(415\) 4.15620 9.97090i 0.204020 0.489452i
\(416\) 3.60527 0.0452920i 0.176763 0.00222062i
\(417\) −1.90829 1.90829i −0.0934492 0.0934492i
\(418\) 0.0239844 0.0415422i 0.00117311 0.00203189i
\(419\) −9.64226 5.56696i −0.471055 0.271964i 0.245626 0.969365i \(-0.421006\pi\)
−0.716681 + 0.697401i \(0.754340\pi\)
\(420\) 0.709483 0.920352i 0.0346192 0.0449086i
\(421\) 20.6313 + 20.6313i 1.00551 + 1.00551i 0.999985 + 0.00552546i \(0.00175882\pi\)
0.00552546 + 0.999985i \(0.498241\pi\)
\(422\) 12.7914 7.38509i 0.622673 0.359501i
\(423\) −4.79551 + 2.76869i −0.233166 + 0.134618i
\(424\) 2.49867 + 2.49867i 0.121346 + 0.121346i
\(425\) −10.4903 18.3587i −0.508853 0.890526i
\(426\) −5.95877 3.44030i −0.288703 0.166683i
\(427\) −3.75102 + 6.49695i −0.181524 + 0.314409i
\(428\) 4.95978 + 4.95978i 0.239740 + 0.239740i
\(429\) 3.09956 0.0389389i 0.149648 0.00187999i
\(430\) 4.08196 + 9.91734i 0.196850 + 0.478257i
\(431\) 16.8679 4.51975i 0.812500 0.217709i 0.171435 0.985195i \(-0.445160\pi\)
0.641065 + 0.767487i \(0.278493\pi\)
\(432\) 0.965926 0.258819i 0.0464731 0.0124524i
\(433\) −0.575332 + 2.14717i −0.0276487 + 0.103186i −0.978371 0.206856i \(-0.933677\pi\)
0.950723 + 0.310043i \(0.100343\pi\)
\(434\) −1.61098 + 1.61098i −0.0773296 + 0.0773296i
\(435\) −12.8291 9.88971i −0.615107 0.474175i
\(436\) −8.51759 2.28228i −0.407919 0.109302i
\(437\) −0.0102370 −0.000489701
\(438\) 2.32329 + 0.622524i 0.111011 + 0.0297453i
\(439\) 18.9701 32.8571i 0.905392 1.56819i 0.0850025 0.996381i \(-0.472910\pi\)
0.820390 0.571805i \(-0.193757\pi\)
\(440\) 0.255183 1.90540i 0.0121654 0.0908365i
\(441\) 6.72992i 0.320472i
\(442\) −4.13103 14.6772i −0.196493 0.698122i
\(443\) 15.4941 15.4941i 0.736149 0.736149i −0.235681 0.971830i \(-0.575732\pi\)
0.971830 + 0.235681i \(0.0757322\pi\)
\(444\) 0.0584158 + 0.218011i 0.00277229 + 0.0103463i
\(445\) −4.58166 + 34.2103i −0.217191 + 1.62173i
\(446\) 2.75364 1.58981i 0.130388 0.0752798i
\(447\) 4.15800i 0.196666i
\(448\) −0.259847 0.450069i −0.0122766 0.0212638i
\(449\) −4.09810 + 15.2943i −0.193402 + 0.721784i 0.799273 + 0.600968i \(0.205218\pi\)
−0.992675 + 0.120817i \(0.961449\pi\)
\(450\) 3.51970 + 3.55130i 0.165920 + 0.167410i
\(451\) −0.0124847 0.0216241i −0.000587880 0.00101824i
\(452\) −1.51348 5.64837i −0.0711879 0.265677i
\(453\) 3.42183 + 1.97560i 0.160772 + 0.0928216i
\(454\) −28.9659 −1.35944
\(455\) 3.88733 + 1.56335i 0.182241 + 0.0732908i
\(456\) 0.0557952 0.00261285
\(457\) −33.9453 19.5983i −1.58789 0.916771i −0.993654 0.112483i \(-0.964120\pi\)
−0.594240 0.804288i \(-0.702547\pi\)
\(458\) 3.12345 + 11.6569i 0.145949 + 0.544691i
\(459\) −2.11444 3.66232i −0.0986937 0.170943i
\(460\) −0.379381 + 0.156153i −0.0176887 + 0.00728066i
\(461\) −2.72197 + 10.1585i −0.126775 + 0.473130i −0.999897 0.0143717i \(-0.995425\pi\)
0.873122 + 0.487502i \(0.162092\pi\)
\(462\) −0.223399 0.386938i −0.0103934 0.0180020i
\(463\) 31.3265i 1.45586i 0.685649 + 0.727932i \(0.259518\pi\)
−0.685649 + 0.727932i \(0.740482\pi\)
\(464\) −6.27365 + 3.62210i −0.291247 + 0.168152i
\(465\) −5.95007 7.79026i −0.275928 0.361265i
\(466\) −2.60452 9.72020i −0.120652 0.450280i
\(467\) 17.1532 17.1532i 0.793754 0.793754i −0.188349 0.982102i \(-0.560313\pi\)
0.982102 + 0.188349i \(0.0603135\pi\)
\(468\) 1.84186 + 3.09961i 0.0851399 + 0.143279i
\(469\) 7.12707i 0.329098i
\(470\) −9.84008 + 7.51569i −0.453889 + 0.346673i
\(471\) 6.63981 11.5005i 0.305946 0.529915i
\(472\) 4.89521 + 1.31167i 0.225320 + 0.0603744i
\(473\) 4.12341 0.189595
\(474\) 15.4742 + 4.14631i 0.710755 + 0.190446i
\(475\) 0.138407 + 0.242221i 0.00635055 + 0.0111139i
\(476\) −1.55403 + 1.55403i −0.0712288 + 0.0712288i
\(477\) −0.914577 + 3.41325i −0.0418756 + 0.156282i
\(478\) −21.4528 + 5.74827i −0.981230 + 0.262920i
\(479\) −11.2332 + 3.00994i −0.513260 + 0.137528i −0.506147 0.862447i \(-0.668931\pi\)
−0.00711279 + 0.999975i \(0.502264\pi\)
\(480\) 2.06776 0.851088i 0.0943801 0.0388467i
\(481\) −0.699585 + 0.415709i −0.0318983 + 0.0189547i
\(482\) 17.6925 + 17.6925i 0.805871 + 0.805871i
\(483\) −0.0476753 + 0.0825761i −0.00216930 + 0.00375734i
\(484\) 8.88617 + 5.13043i 0.403917 + 0.233201i
\(485\) −1.80566 13.9562i −0.0819908 0.633720i
\(486\) 0.707107 + 0.707107i 0.0320750 + 0.0320750i
\(487\) 7.91564 4.57010i 0.358692 0.207091i −0.309815 0.950797i \(-0.600267\pi\)
0.668507 + 0.743706i \(0.266934\pi\)
\(488\) −12.5015 + 7.21773i −0.565915 + 0.326731i
\(489\) −16.1341 16.1341i −0.729609 0.729609i
\(490\) 1.93089 + 14.9242i 0.0872288 + 0.674205i
\(491\) −6.88995 3.97792i −0.310939 0.179521i 0.336407 0.941717i \(-0.390788\pi\)
−0.647347 + 0.762196i \(0.724121\pi\)
\(492\) 0.0145216 0.0251522i 0.000654685 0.00113395i
\(493\) 21.6621 + 21.6621i 0.975612 + 0.975612i
\(494\) 0.0545041 + 0.193648i 0.00245225 + 0.00871264i
\(495\) 1.77772 0.731706i 0.0799025 0.0328877i
\(496\) −4.23449 + 1.13463i −0.190134 + 0.0509463i
\(497\) −3.45397 + 0.925487i −0.154932 + 0.0415138i
\(498\) 1.25035 4.66639i 0.0560297 0.209106i
\(499\) −21.9284 + 21.9284i −0.981650 + 0.981650i −0.999835 0.0181843i \(-0.994211\pi\)
0.0181843 + 0.999835i \(0.494211\pi\)
\(500\) 8.82414 + 6.86546i 0.394628 + 0.307033i
\(501\) −12.8623 3.44643i −0.574644 0.153975i
\(502\) −27.3728 −1.22171
\(503\) −18.5020 4.95760i −0.824964 0.221049i −0.178449 0.983949i \(-0.557108\pi\)
−0.646516 + 0.762901i \(0.723775\pi\)
\(504\) 0.259847 0.450069i 0.0115745 0.0200477i
\(505\) −9.00956 + 6.88135i −0.400920 + 0.306216i
\(506\) 0.157738i 0.00701232i
\(507\) −8.95856 + 9.42041i −0.397864 + 0.418375i
\(508\) 7.35039 7.35039i 0.326121 0.326121i
\(509\) 8.14806 + 30.4090i 0.361156 + 1.34785i 0.872557 + 0.488512i \(0.162460\pi\)
−0.511401 + 0.859342i \(0.670873\pi\)
\(510\) −5.73972 7.51485i −0.254159 0.332763i
\(511\) 1.08253 0.624997i 0.0478882 0.0276482i
\(512\) 1.00000i 0.0441942i
\(513\) 0.0278976 + 0.0483200i 0.00123171 + 0.00213338i
\(514\) 0.0669693 0.249933i 0.00295389 0.0110241i
\(515\) 17.4066 7.16453i 0.767027 0.315707i
\(516\) 2.39808 + 4.15360i 0.105570 + 0.182852i
\(517\) 1.23215 + 4.59843i 0.0541898 + 0.202239i
\(518\) 0.101581 + 0.0586479i 0.00446322 + 0.00257684i
\(519\) −19.2850 −0.846517
\(520\) 4.97379 + 6.34519i 0.218115 + 0.278255i
\(521\) 38.1901 1.67314 0.836568 0.547862i \(-0.184558\pi\)
0.836568 + 0.547862i \(0.184558\pi\)
\(522\) −6.27365 3.62210i −0.274590 0.158535i
\(523\) −0.379154 1.41502i −0.0165793 0.0618747i 0.957141 0.289624i \(-0.0935301\pi\)
−0.973720 + 0.227749i \(0.926863\pi\)
\(524\) −8.69738 15.0643i −0.379947 0.658087i
\(525\) 2.59845 + 0.0116110i 0.113406 + 0.000506746i
\(526\) 1.60883 6.00425i 0.0701485 0.261798i
\(527\) 9.26943 + 16.0551i 0.403783 + 0.699372i
\(528\) 0.859730i 0.0374149i
\(529\) −19.8894 + 11.4832i −0.864758 + 0.499268i
\(530\) −1.04885 + 7.83157i −0.0455592 + 0.340182i
\(531\) 1.31167 + 4.89521i 0.0569215 + 0.212434i
\(532\) 0.0205036 0.0205036i 0.000888944 0.000888944i
\(533\) 0.101481 + 0.0258300i 0.00439564 + 0.00111882i
\(534\) 15.4359i 0.667978i
\(535\) −2.08194 + 15.5454i −0.0900099 + 0.672087i
\(536\) 6.85698 11.8766i 0.296176 0.512993i
\(537\) 19.5852 + 5.24784i 0.845165 + 0.226461i
\(538\) −0.390528 −0.0168369
\(539\) 5.58876 + 1.49750i 0.240725 + 0.0645021i
\(540\) 1.77095 + 1.36519i 0.0762094 + 0.0587485i
\(541\) −21.3618 + 21.3618i −0.918417 + 0.918417i −0.996914 0.0784970i \(-0.974988\pi\)
0.0784970 + 0.996914i \(0.474988\pi\)
\(542\) 4.36922 16.3061i 0.187674 0.700409i
\(543\) −13.8246 + 3.70429i −0.593271 + 0.158966i
\(544\) −4.08479 + 1.09452i −0.175134 + 0.0469270i
\(545\) −7.50495 18.2337i −0.321477 0.781045i
\(546\) 1.81589 + 0.462197i 0.0777128 + 0.0197802i
\(547\) 13.4041 + 13.4041i 0.573116 + 0.573116i 0.932998 0.359882i \(-0.117183\pi\)
−0.359882 + 0.932998i \(0.617183\pi\)
\(548\) −4.54350 + 7.86958i −0.194089 + 0.336172i
\(549\) −12.5015 7.21773i −0.533550 0.308045i
\(550\) 3.73231 2.13267i 0.159146 0.0909373i
\(551\) −0.285806 0.285806i −0.0121758 0.0121758i
\(552\) −0.158893 + 0.0917371i −0.00676295 + 0.00390459i
\(553\) 7.21015 4.16278i 0.306607 0.177019i
\(554\) −0.747388 0.747388i −0.0317535 0.0317535i
\(555\) −0.308126 + 0.399705i −0.0130792 + 0.0169665i
\(556\) −2.33716 1.34936i −0.0991178 0.0572257i
\(557\) 16.6586 28.8536i 0.705848 1.22256i −0.260536 0.965464i \(-0.583899\pi\)
0.966385 0.257101i \(-0.0827673\pi\)
\(558\) −3.09986 3.09986i −0.131228 0.131228i
\(559\) −12.0733 + 12.3805i −0.510647 + 0.523640i
\(560\) 0.447104 1.07262i 0.0188936 0.0453264i
\(561\) −3.51181 + 0.940988i −0.148269 + 0.0397285i
\(562\) 13.1111 3.51311i 0.553059 0.148192i
\(563\) −6.90115 + 25.7554i −0.290849 + 1.08546i 0.653610 + 0.756832i \(0.273254\pi\)
−0.944458 + 0.328631i \(0.893413\pi\)
\(564\) −3.91552 + 3.91552i −0.164873 + 0.164873i
\(565\) 7.98313 10.3558i 0.335853 0.435673i
\(566\) 9.27878 + 2.48624i 0.390016 + 0.104505i
\(567\) 0.519695 0.0218251
\(568\) −6.64614 1.78083i −0.278866 0.0747219i
\(569\) −20.0582 + 34.7418i −0.840883 + 1.45645i 0.0482653 + 0.998835i \(0.484631\pi\)
−0.889149 + 0.457618i \(0.848703\pi\)
\(570\) 0.0757288 + 0.0991496i 0.00317193 + 0.00415292i
\(571\) 5.59408i 0.234105i −0.993126 0.117053i \(-0.962655\pi\)
0.993126 0.117053i \(-0.0373446\pi\)
\(572\) 2.98386 0.839836i 0.124762 0.0351153i
\(573\) 9.04369 9.04369i 0.377806 0.377806i
\(574\) −0.00390652 0.0145793i −0.000163055 0.000608529i
\(575\) −0.792409 0.462231i −0.0330457 0.0192764i
\(576\) 0.866025 0.500000i 0.0360844 0.0208333i
\(577\) 12.9781i 0.540287i 0.962820 + 0.270144i \(0.0870712\pi\)
−0.962820 + 0.270144i \(0.912929\pi\)
\(578\) 0.441732 + 0.765102i 0.0183736 + 0.0318240i
\(579\) 0.571737 2.13375i 0.0237606 0.0886757i
\(580\) −14.9516 6.23232i −0.620831 0.258783i
\(581\) −1.25532 2.17428i −0.0520796 0.0902045i
\(582\) −1.62886 6.07899i −0.0675185 0.251982i
\(583\) 2.63097 + 1.51899i 0.108964 + 0.0629103i
\(584\) 2.40525 0.0995298
\(585\) −3.00820 + 7.48002i −0.124374 + 0.309261i
\(586\) −5.82718 −0.240718
\(587\) 36.2188 + 20.9109i 1.49491 + 0.863086i 0.999983 0.00584852i \(-0.00186165\pi\)
0.494926 + 0.868935i \(0.335195\pi\)
\(588\) 1.74183 + 6.50060i 0.0718319 + 0.268080i
\(589\) −0.122299 0.211829i −0.00503925 0.00872824i
\(590\) 4.31323 + 10.4792i 0.177573 + 0.431422i
\(591\) 3.14199 11.7261i 0.129244 0.482346i
\(592\) 0.112851 + 0.195463i 0.00463813 + 0.00803348i
\(593\) 6.42791i 0.263963i −0.991252 0.131981i \(-0.957866\pi\)
0.991252 0.131981i \(-0.0421339\pi\)
\(594\) 0.744548 0.429865i 0.0305492 0.0176376i
\(595\) −4.87079 0.652325i −0.199683 0.0267427i
\(596\) −1.07617 4.01632i −0.0440816 0.164515i
\(597\) −2.88224 + 2.88224i −0.117962 + 0.117962i
\(598\) −0.473608 0.461856i −0.0193673 0.0188867i
\(599\) 17.8641i 0.729906i 0.931026 + 0.364953i \(0.118915\pi\)
−0.931026 + 0.364953i \(0.881085\pi\)
\(600\) 4.31891 + 2.51932i 0.176319 + 0.102851i
\(601\) −16.6635 + 28.8620i −0.679717 + 1.17730i 0.295349 + 0.955389i \(0.404564\pi\)
−0.975066 + 0.221914i \(0.928769\pi\)
\(602\) 2.40761 + 0.645118i 0.0981270 + 0.0262930i
\(603\) 13.7140 0.558476
\(604\) 3.81656 + 1.02264i 0.155293 + 0.0416108i
\(605\) 2.94396 + 22.7543i 0.119689 + 0.925095i
\(606\) −3.58504 + 3.58504i −0.145632 + 0.145632i
\(607\) 4.37259 16.3187i 0.177478 0.662357i −0.818638 0.574309i \(-0.805271\pi\)
0.996116 0.0880472i \(-0.0280626\pi\)
\(608\) 0.0538940 0.0144409i 0.00218569 0.000585654i
\(609\) −3.63649 + 0.974394i −0.147358 + 0.0394844i
\(610\) −29.7939 12.4191i −1.20632 0.502835i
\(611\) −17.4145 9.76467i −0.704515 0.395036i
\(612\) −2.99027 2.99027i −0.120875 0.120875i
\(613\) −19.8507 + 34.3825i −0.801763 + 1.38869i 0.116692 + 0.993168i \(0.462771\pi\)
−0.918455 + 0.395526i \(0.870562\pi\)
\(614\) 3.92039 + 2.26344i 0.158214 + 0.0913450i
\(615\) 0.0644058 0.00833284i 0.00259709 0.000336013i
\(616\) −0.315933 0.315933i −0.0127293 0.0127293i
\(617\) −20.2554 + 11.6945i −0.815453 + 0.470802i −0.848846 0.528640i \(-0.822702\pi\)
0.0333930 + 0.999442i \(0.489369\pi\)
\(618\) 7.29027 4.20904i 0.293258 0.169312i
\(619\) 9.00079 + 9.00079i 0.361772 + 0.361772i 0.864465 0.502693i \(-0.167657\pi\)
−0.502693 + 0.864465i \(0.667657\pi\)
\(620\) −7.76359 5.98482i −0.311793 0.240356i
\(621\) −0.158893 0.0917371i −0.00637617 0.00368128i
\(622\) −13.8185 + 23.9343i −0.554071 + 0.959680i
\(623\) 5.67239 + 5.67239i 0.227259 + 0.227259i
\(624\) 2.58133 + 2.51728i 0.103336 + 0.100772i
\(625\) −0.223417 + 24.9990i −0.00893670 + 0.999960i
\(626\) 30.7305 8.23422i 1.22824 0.329106i
\(627\) 0.0463343 0.0124152i 0.00185041 0.000495817i
\(628\) 3.43702 12.8271i 0.137152 0.511858i
\(629\) 0.674908 0.674908i 0.0269104 0.0269104i
\(630\) 1.15247 0.149107i 0.0459154 0.00594055i
\(631\) −5.22065 1.39887i −0.207831 0.0556881i 0.153401 0.988164i \(-0.450977\pi\)
−0.361232 + 0.932476i \(0.617644\pi\)
\(632\) 16.0201 0.637245
\(633\) 14.2669 + 3.82280i 0.567058 + 0.151943i
\(634\) 0.902361 1.56294i 0.0358373 0.0620721i
\(635\) 23.0383 + 3.08543i 0.914247 + 0.122442i
\(636\) 3.53365i 0.140118i
\(637\) −20.8601 + 12.3955i −0.826507 + 0.491129i
\(638\) −4.40390 + 4.40390i −0.174352 + 0.174352i
\(639\) −1.78083 6.64614i −0.0704485 0.262917i
\(640\) 1.77703 1.35727i 0.0702432 0.0536506i
\(641\) −7.68152 + 4.43492i −0.303402 + 0.175169i −0.643970 0.765051i \(-0.722714\pi\)
0.340568 + 0.940220i \(0.389381\pi\)
\(642\) 7.01419i 0.276828i
\(643\) −8.83093 15.2956i −0.348258 0.603201i 0.637682 0.770300i \(-0.279893\pi\)
−0.985940 + 0.167099i \(0.946560\pi\)
\(644\) −0.0246786 + 0.0921016i −0.000972471 + 0.00362931i
\(645\) −4.12624 + 9.89901i −0.162470 + 0.389773i
\(646\) −0.117976 0.204340i −0.00464169 0.00803964i
\(647\) 11.3799 + 42.4705i 0.447391 + 1.66969i 0.709545 + 0.704660i \(0.248900\pi\)
−0.262154 + 0.965026i \(0.584433\pi\)
\(648\) 0.866025 + 0.500000i 0.0340207 + 0.0196419i
\(649\) 4.35702 0.171028
\(650\) −4.52484 + 17.4507i −0.177479 + 0.684472i
\(651\) −2.27827 −0.0892926
\(652\) −19.7602 11.4085i −0.773867 0.446792i
\(653\) 5.90050 + 22.0209i 0.230904 + 0.861746i 0.979953 + 0.199231i \(0.0638444\pi\)
−0.749048 + 0.662515i \(0.769489\pi\)
\(654\) −4.40903 7.63667i −0.172407 0.298617i
\(655\) 14.9651 35.9018i 0.584733 1.40280i
\(656\) 0.00751694 0.0280536i 0.000293487 0.00109531i
\(657\) 1.20262 + 2.08300i 0.0469188 + 0.0812657i
\(658\) 2.87775i 0.112186i
\(659\) 0.951098 0.549117i 0.0370495 0.0213906i −0.481361 0.876523i \(-0.659857\pi\)
0.518410 + 0.855132i \(0.326524\pi\)
\(660\) 1.52776 1.16688i 0.0594682 0.0454208i
\(661\) −6.39522 23.8673i −0.248745 0.928330i −0.971464 0.237187i \(-0.923774\pi\)
0.722719 0.691142i \(-0.242892\pi\)
\(662\) 14.3606 14.3606i 0.558142 0.558142i
\(663\) 7.45725 13.2994i 0.289616 0.516506i
\(664\) 4.83100i 0.187479i
\(665\) 0.0642643 + 0.00860667i 0.00249206 + 0.000333752i
\(666\) −0.112851 + 0.195463i −0.00437287 + 0.00757404i
\(667\) 1.28383 + 0.344002i 0.0497102 + 0.0133198i
\(668\) −13.3160 −0.515211
\(669\) 3.07128 + 0.822948i 0.118743 + 0.0318170i
\(670\) 30.4119 3.93469i 1.17491 0.152010i
\(671\) −8.77561 + 8.77561i −0.338779 + 0.338779i
\(672\) 0.134507 0.501987i 0.00518872 0.0193646i
\(673\) 7.25006 1.94265i 0.279469 0.0748836i −0.116362 0.993207i \(-0.537123\pi\)
0.395831 + 0.918323i \(0.370457\pi\)
\(674\) 21.8897 5.86533i 0.843160 0.225924i
\(675\) −0.0223420 + 4.99995i −0.000859943 + 0.192448i
\(676\) −6.21512 + 11.4181i −0.239043 + 0.439156i
\(677\) −29.5301 29.5301i −1.13493 1.13493i −0.989345 0.145589i \(-0.953492\pi\)
−0.145589 0.989345i \(-0.546508\pi\)
\(678\) 2.92381 5.06419i 0.112288 0.194489i
\(679\) −2.83248 1.63533i −0.108701 0.0627583i
\(680\) −7.48913 5.77324i −0.287195 0.221394i
\(681\) −20.4820 20.4820i −0.784871 0.784871i
\(682\) −3.26400 + 1.88447i −0.124985 + 0.0721601i
\(683\) −19.5774 + 11.3030i −0.749110 + 0.432499i −0.825372 0.564589i \(-0.809035\pi\)
0.0762622 + 0.997088i \(0.475701\pi\)
\(684\) 0.0394531 + 0.0394531i 0.00150853 + 0.00150853i
\(685\) −20.1512 + 2.60717i −0.769938 + 0.0996147i
\(686\) 6.17941 + 3.56768i 0.235931 + 0.136215i
\(687\) −6.03405 + 10.4513i −0.230213 + 0.398741i
\(688\) 3.39140 + 3.39140i 0.129296 + 0.129296i
\(689\) −12.2642 + 3.45189i −0.467230 + 0.131506i
\(690\) −0.378680 0.157846i −0.0144161 0.00600911i
\(691\) 18.9019 5.06476i 0.719063 0.192672i 0.119310 0.992857i \(-0.461932\pi\)
0.599754 + 0.800185i \(0.295265\pi\)
\(692\) −18.6279 + 4.99132i −0.708126 + 0.189742i
\(693\) 0.115640 0.431573i 0.00439279 0.0163941i
\(694\) 25.5041 25.5041i 0.968124 0.968124i
\(695\) −0.774295 5.98465i −0.0293707 0.227011i
\(696\) −6.99735 1.87494i −0.265234 0.0710692i
\(697\) −0.122821 −0.00465216
\(698\) 3.51575 + 0.942042i 0.133073 + 0.0356568i
\(699\) 5.03155 8.71490i 0.190311 0.329628i
\(700\) 2.51291 0.661313i 0.0949792 0.0249953i
\(701\) 29.4470i 1.11220i 0.831116 + 0.556098i \(0.187702\pi\)
−0.831116 + 0.556098i \(0.812298\pi\)
\(702\) −0.889363 + 3.49414i −0.0335668 + 0.131878i
\(703\) −0.00890462 + 0.00890462i −0.000335844 + 0.000335844i
\(704\) −0.222514 0.830435i −0.00838633 0.0312982i
\(705\) −12.2724 1.64359i −0.462205 0.0619013i
\(706\) 24.5055 14.1482i 0.922275 0.532476i
\(707\) 2.63486i 0.0990941i
\(708\) 2.53395 + 4.38892i 0.0952315 + 0.164946i
\(709\) 10.6145 39.6139i 0.398636 1.48773i −0.416861 0.908970i \(-0.636870\pi\)
0.815497 0.578761i \(-0.196463\pi\)
\(710\) −5.85599 14.2274i −0.219771 0.533946i
\(711\) 8.01005 + 13.8738i 0.300400 + 0.520308i
\(712\) 3.99511 + 14.9100i 0.149723 + 0.558774i
\(713\) 0.696567 + 0.402163i 0.0260866 + 0.0150611i
\(714\) −2.19773 −0.0822480
\(715\) 5.54231 + 4.16253i 0.207270 + 0.155670i
\(716\) 20.2761 0.757754
\(717\) −19.2341 11.1048i −0.718310 0.414717i
\(718\) −1.74502 6.51252i −0.0651237 0.243045i
\(719\) 15.8538 + 27.4596i 0.591246 + 1.02407i 0.994065 + 0.108789i \(0.0346972\pi\)
−0.402819 + 0.915280i \(0.631969\pi\)
\(720\) 2.06394 + 0.860320i 0.0769185 + 0.0320622i
\(721\) 1.13229 4.22576i 0.0421687 0.157376i
\(722\) −9.49844 16.4518i −0.353495 0.612272i
\(723\) 25.0210i 0.930540i
\(724\) −12.3948 + 7.15615i −0.460649 + 0.265956i
\(725\) −9.21825 35.0283i −0.342357 1.30092i
\(726\) 2.65571 + 9.91123i 0.0985625 + 0.367840i
\(727\) 13.5130 13.5130i 0.501169 0.501169i −0.410632 0.911801i \(-0.634692\pi\)
0.911801 + 0.410632i \(0.134692\pi\)
\(728\) 1.87364 0.0235380i 0.0694417 0.000872377i
\(729\) 1.00000i 0.0370370i
\(730\) 3.26456 + 4.27419i 0.120827 + 0.158195i
\(731\) 10.1412 17.5651i 0.375087 0.649669i
\(732\) −13.9436 3.73617i −0.515369 0.138093i
\(733\) −10.4942 −0.387612 −0.193806 0.981040i \(-0.562083\pi\)
−0.193806 + 0.981040i \(0.562083\pi\)
\(734\) 30.0541 + 8.05298i 1.10932 + 0.297241i
\(735\) −9.18763 + 11.9183i −0.338891 + 0.439614i
\(736\) −0.129736 + 0.129736i −0.00478213 + 0.00478213i
\(737\) 3.05155 11.3886i 0.112405 0.419503i
\(738\) 0.0280536 0.00751694i 0.00103267 0.000276703i
\(739\) 10.6866 2.86346i 0.393112 0.105334i −0.0568477 0.998383i \(-0.518105\pi\)
0.449960 + 0.893049i \(0.351438\pi\)
\(740\) −0.194175 + 0.465834i −0.00713802 + 0.0171244i
\(741\) −0.0983897 + 0.175470i −0.00361444 + 0.00644606i
\(742\) 1.29855 + 1.29855i 0.0476711 + 0.0476711i
\(743\) 18.1763 31.4823i 0.666825 1.15498i −0.311962 0.950095i \(-0.600986\pi\)
0.978787 0.204881i \(-0.0656806\pi\)
\(744\) −3.79654 2.19193i −0.139188 0.0803602i
\(745\) 5.67646 7.36359i 0.207969 0.269781i
\(746\) 15.9587 + 15.9587i 0.584291 + 0.584291i
\(747\) 4.18377 2.41550i 0.153076 0.0883785i
\(748\) −3.14861 + 1.81785i −0.115124 + 0.0664671i
\(749\) 2.57757 + 2.57757i 0.0941824 + 0.0941824i
\(750\) 1.38500 + 11.0942i 0.0505730 + 0.405104i
\(751\) −42.3079 24.4265i −1.54384 0.891335i −0.998591 0.0530591i \(-0.983103\pi\)
−0.545246 0.838276i \(-0.683564\pi\)
\(752\) −2.76869 + 4.79551i −0.100964 + 0.174874i
\(753\) −19.3555 19.3555i −0.705354 0.705354i
\(754\) −0.328104 26.1172i −0.0119488 0.951134i
\(755\) 3.36281 + 8.17013i 0.122385 + 0.297341i
\(756\) 0.501987 0.134507i 0.0182571 0.00489197i
\(757\) −26.0534 + 6.98099i −0.946927 + 0.253728i −0.699058 0.715065i \(-0.746397\pi\)
−0.247869 + 0.968794i \(0.579730\pi\)
\(758\) −3.85119 + 14.3728i −0.139881 + 0.522045i
\(759\) −0.111538 + 0.111538i −0.00404857 + 0.00404857i
\(760\) 0.0988102 + 0.0761711i 0.00358422 + 0.00276302i
\(761\) −21.6967 5.81362i −0.786505 0.210743i −0.156855 0.987622i \(-0.550135\pi\)
−0.629651 + 0.776878i \(0.716802\pi\)
\(762\) 10.3950 0.376572
\(763\) −4.42655 1.18609i −0.160252 0.0429394i
\(764\) 6.39485 11.0762i 0.231358 0.400723i
\(765\) 1.25521 9.37239i 0.0453821 0.338860i
\(766\) 11.3636i 0.410583i
\(767\) −12.7573 + 13.0819i −0.460640 + 0.472361i
\(768\) 0.707107 0.707107i 0.0255155 0.0255155i
\(769\) 3.23891 + 12.0878i 0.116798 + 0.435897i