Properties

Label 390.2.bd.b.223.3
Level $390$
Weight $2$
Character 390.223
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 223.3
Root \(0.277956 - 0.213283i\) of defining polynomial
Character \(\chi\) \(=\) 390.223
Dual form 390.2.bd.b.7.3

$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

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

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 −0.812732 0.582638i \(-0.802021\pi\)
0.910945 + 0.412528i \(0.135354\pi\)
\(8\) 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 −0.924233 0.381829i \(-0.875294\pi\)
0.991324 + 0.131443i \(0.0419611\pi\)
\(12\) −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 0.273159 0.961969i \(-0.411931\pi\)
0.717547 + 0.696510i \(0.245265\pi\)
\(18\) −1.00000 −0.235702
\(19\) −0.0538940 + 0.0144409i −0.0123641 + 0.00331296i −0.264996 0.964250i \(-0.585371\pi\)
0.252632 + 0.967563i \(0.418704\pi\)
\(20\) −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 0.277248 0.960798i \(-0.410578\pi\)
−0.240295 + 0.970700i \(0.577244\pi\)
\(24\) −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 0.212494 0.977162i \(-0.431841\pi\)
0.952494 + 0.304556i \(0.0985081\pi\)
\(30\) −1.77095 + 1.36519i −0.323329 + 0.249249i
\(31\) 3.09986 3.09986i 0.556752 0.556752i −0.371629 0.928381i \(-0.621201\pi\)
0.928381 + 0.371629i \(0.121201\pi\)
\(32\) −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 0.875153 0.483847i \(-0.160761\pi\)
−0.856600 + 0.515981i \(0.827428\pi\)
\(38\) −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 0.256628 0.966510i \(-0.417389\pi\)
−0.261009 + 0.965336i \(0.584055\pi\)
\(42\) −0.501987 0.134507i −0.0774582 0.0207549i
\(43\) 1.24134 + 4.63274i 0.189303 + 0.706487i 0.993668 + 0.112352i \(0.0358385\pi\)
−0.804366 + 0.594134i \(0.797495\pi\)
\(44\) −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 0.857576 0.514357i \(-0.171969\pi\)
−0.514357 + 0.857576i \(0.671969\pi\)
\(54\) −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 0.997234 + 0.0743209i \(0.0236789\pi\)
−0.826470 + 0.562981i \(0.809654\pi\)
\(60\) −0.851088 + 2.06776i −0.109875 + 0.266947i
\(61\) 7.21773 12.5015i 0.924135 1.60065i 0.131189 0.991357i \(-0.458120\pi\)
0.792946 0.609292i \(-0.208546\pi\)
\(62\) 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 −0.998536 0.0540887i \(-0.982775\pi\)
−0.452426 + 0.891802i \(0.649441\pi\)
\(68\) 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 −0.987421 0.158112i \(-0.949459\pi\)
0.776076 0.630640i \(-0.217207\pi\)
\(72\) −0.500000 + 0.866025i −0.0589256 + 0.102062i
\(73\) 2.40525i 0.281513i 0.990044 + 0.140756i \(0.0449534\pi\)
−0.990044 + 0.140756i \(0.955047\pi\)
\(74\) 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 \(0.357313\pi\)
−0.433402 + 0.901201i \(0.642687\pi\)
\(80\) −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 0.939066 0.343737i \(-0.111693\pi\)
0.641386 + 0.767218i \(0.278360\pi\)
\(90\) 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 0.197097 0.980384i \(-0.436849\pi\)
−0.750489 + 0.660883i \(0.770182\pi\)
\(98\) 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 −0.265384 0.964143i \(-0.585499\pi\)
0.702281 + 0.711900i \(0.252165\pi\)
\(102\) −2.11444 3.66232i −0.209361 0.362624i
\(103\) −5.95248 + 5.95248i −0.586515 + 0.586515i −0.936686 0.350171i \(-0.886124\pi\)
0.350171 + 0.936686i \(0.386124\pi\)
\(104\) 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 0.570980 0.820964i \(-0.306563\pi\)
0.0840016 + 0.996466i \(0.473230\pi\)
\(108\) 0.258819 + 0.965926i 0.0249049 + 0.0929463i
\(109\) −6.23531 6.23531i −0.597235 0.597235i 0.342341 0.939576i \(-0.388780\pi\)
−0.939576 + 0.342341i \(0.888780\pi\)
\(110\) −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 −0.514513 0.857482i \(-0.672027\pi\)
−0.0168406 + 0.999858i \(0.505361\pi\)
\(114\) 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 0.737691 + 0.675138i \(0.235916\pi\)
−0.976429 + 0.215841i \(0.930751\pi\)
\(128\) −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 −0.604027 0.796964i \(-0.706438\pi\)
0.992204 + 0.124621i \(0.0397714\pi\)
\(138\) 0.183474i 0.0156184i
\(139\) −2.33716 1.34936i −0.198236 0.114451i 0.397597 0.917560i \(-0.369844\pi\)
−0.595832 + 0.803109i \(0.703178\pi\)
\(140\) −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 −0.419552 0.907731i \(-0.637813\pi\)
0.0905228 + 0.995894i \(0.471146\pi\)
\(150\) 4.34125 + 2.48063i 0.354462 + 0.202542i
\(151\) 2.79391 + 2.79391i 0.227365 + 0.227365i 0.811591 0.584226i \(-0.198602\pi\)
−0.584226 + 0.811591i \(0.698602\pi\)
\(152\) 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 −0.974369 0.224956i \(-0.927776\pi\)
0.224956 + 0.974369i \(0.427776\pi\)
\(158\) 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 −0.998314 0.0580388i \(-0.981515\pi\)
−0.549420 0.835546i \(-0.685151\pi\)
\(164\) −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 −0.999844 0.0176545i \(-0.994380\pi\)
0.484633 0.874718i \(-0.338953\pi\)
\(168\) −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 −0.846682 0.532099i \(-0.821403\pi\)
0.467199 0.884152i \(-0.345263\pi\)
\(174\) −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 0.943994 + 0.329964i \(0.107037\pi\)
−0.186240 + 0.982504i \(0.559630\pi\)
\(180\) 1.77703 + 1.35727i 0.132452 + 0.101165i
\(181\) 14.3123i 1.06382i −0.846799 0.531912i \(-0.821474\pi\)
0.846799 0.531912i \(-0.178526\pi\)
\(182\) 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 −0.999095 0.0425302i \(-0.986458\pi\)
0.536380 + 0.843977i \(0.319791\pi\)
\(192\) −0.258819 + 0.965926i −0.0186787 + 0.0697097i
\(193\) −1.91307 + 1.10451i −0.137706 + 0.0795045i −0.567270 0.823532i \(-0.692000\pi\)
0.429564 + 0.903036i \(0.358667\pi\)
\(194\) −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 −0.825348 0.564625i \(-0.809021\pi\)
0.0763056 + 0.997084i \(0.475688\pi\)
\(198\) −0.222514 + 0.830435i −0.0158134 + 0.0590165i
\(199\) 2.03805 3.53001i 0.144474 0.250236i −0.784703 0.619872i \(-0.787184\pi\)
0.929176 + 0.369636i \(0.120518\pi\)
\(200\) 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 0.999953 + 0.00973918i \(0.00310013\pi\)
−0.491542 + 0.870854i \(0.663567\pi\)
\(212\) 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 0.914334 0.404960i \(-0.132714\pi\)
−0.807873 + 0.589357i \(0.799381\pi\)
\(224\) −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 −0.970291 0.241942i \(-0.922216\pi\)
−0.694673 0.719326i \(-0.744451\pi\)
\(228\) 0.0483200 + 0.0278976i 0.00320007 + 0.00184756i
\(229\) 8.53343 8.53343i 0.563905 0.563905i −0.366509 0.930414i \(-0.619447\pi\)
0.930414 + 0.366509i \(0.119447\pi\)
\(230\) −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 −0.900669 0.434505i \(-0.856923\pi\)
0.434505 + 0.900669i \(0.356923\pi\)
\(234\) 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 −0.999872 0.0159718i \(-0.994916\pi\)
−0.0159718 0.999872i \(-0.505084\pi\)
\(240\) 1.36519 + 1.77095i 0.0881228 + 0.114314i
\(241\) 24.1684 6.47591i 1.55682 0.417150i 0.625168 0.780490i \(-0.285031\pi\)
0.931656 + 0.363341i \(0.118364\pi\)
\(242\) 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 −0.496290 0.868157i \(-0.665305\pi\)
−0.999991 + 0.00427828i \(0.998638\pi\)
\(252\) 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 −0.967983 0.251015i \(-0.919236\pi\)
0.963806 + 0.266606i \(0.0859022\pi\)
\(258\) 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 −0.997623 0.0689024i \(-0.978050\pi\)
0.898418 + 0.439140i \(0.144717\pi\)
\(264\) −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 0.489654 0.871917i \(-0.337123\pi\)
−0.510275 + 0.860011i \(0.670456\pi\)
\(270\) 2.21628 0.296818i 0.134879 0.0180638i
\(271\) −4.36922 + 16.3061i −0.265411 + 0.990528i 0.696587 + 0.717472i \(0.254701\pi\)
−0.961998 + 0.273056i \(0.911966\pi\)
\(272\) −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 −0.289360 0.957220i \(-0.593442\pi\)
0.228017 + 0.973657i \(0.426776\pi\)
\(278\) −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 0.932845 0.360277i \(-0.117318\pi\)
−0.360277 + 0.932845i \(0.617318\pi\)
\(282\) −1.43318 5.34870i −0.0853446 0.318510i
\(283\) 9.27878 + 2.48624i 0.551566 + 0.147792i 0.523829 0.851823i \(-0.324503\pi\)
0.0277374 + 0.999615i \(0.491170\pi\)
\(284\) −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 0.345294 0.938494i \(-0.387779\pi\)
−0.640113 + 0.768281i \(0.721112\pi\)
\(294\) 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 \(-0.713394\pi\)
0.621297 0.783575i \(-0.286606\pi\)
\(312\) 3.49414 0.889363i 0.197817 0.0503503i
\(313\) 22.4963 + 22.4963i 1.27157 + 1.27157i 0.945266 + 0.326301i \(0.105802\pi\)
0.326301 + 0.945266i \(0.394198\pi\)
\(314\) −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 \(0.0161394\pi\)
−0.998715 + 0.0506817i \(0.983861\pi\)
\(318\) 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 0.945930 + 0.324369i \(0.105152\pi\)
−0.657015 + 0.753877i \(0.728181\pi\)
\(332\) −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 0.992788 0.119885i \(-0.0382525\pi\)
−0.119885 + 0.992788i \(0.538253\pi\)
\(338\) 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 0.492507 + 0.870309i \(0.336081\pi\)
0.00863072 + 0.999963i \(0.497253\pi\)
\(348\) −6.99735 1.87494i −0.375097 0.100507i
\(349\) 3.51575 + 0.942042i 0.188194 + 0.0504264i 0.351685 0.936118i \(-0.385609\pi\)
−0.163491 + 0.986545i \(0.552276\pi\)
\(350\) 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 0.946346 + 0.323156i \(0.104744\pi\)
−0.193311 + 0.981137i \(0.561923\pi\)
\(354\) 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 −0.821634 0.570015i \(-0.806937\pi\)
0.570015 + 0.821634i \(0.306937\pi\)
\(360\) 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 0.935440 0.353485i \(-0.115003\pi\)
0.633373 + 0.773847i \(0.281670\pi\)
\(368\) −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 0.354338 0.935117i \(-0.384706\pi\)
0.774425 + 0.632666i \(0.218039\pi\)
\(374\) −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 −0.793696 0.608315i \(-0.791846\pi\)
0.991518 0.129968i \(-0.0414875\pi\)
\(380\) 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 −0.683561 0.729894i \(-0.739570\pi\)
0.973887 + 0.227034i \(0.0729029\pi\)
\(384\) 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 −0.987522 0.157482i \(-0.949662\pi\)
0.630144 + 0.776478i \(0.282996\pi\)
\(398\) 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 0.402155 + 0.915571i \(0.368261\pi\)
−0.806062 + 0.591830i \(0.798405\pi\)
\(402\) 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 −0.948237 0.317563i \(-0.897136\pi\)
−0.662416 + 0.749136i \(0.730469\pi\)
\(410\) 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 −0.716681 0.697401i \(-0.754340\pi\)
0.245626 + 0.969365i \(0.421006\pi\)
\(420\) 0.709483 + 0.920352i 0.0346192 + 0.0449086i
\(421\) 20.6313 20.6313i 1.00551 1.00551i 0.00552546 0.999985i \(-0.498241\pi\)
0.999985 0.00552546i \(-0.00175882\pi\)
\(422\) 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 0.641065 0.767487i \(-0.278493\pi\)
0.171435 + 0.985195i \(0.445160\pi\)
\(432\) 0.965926 + 0.258819i 0.0464731 + 0.0124524i
\(433\) −0.575332 2.14717i −0.0276487 0.103186i 0.950723 0.310043i \(-0.100343\pi\)
−0.978371 + 0.206856i \(0.933677\pi\)
\(434\) −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 0.820390 + 0.571805i \(0.193757\pi\)
0.0850025 + 0.996381i \(0.472910\pi\)
\(440\) 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 0.971830 0.235681i \(-0.0757322\pi\)
−0.235681 + 0.971830i \(0.575732\pi\)
\(444\) 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 −0.992675 0.120817i \(-0.961449\pi\)
0.799273 0.600968i \(-0.205218\pi\)
\(450\) 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 −0.594240 + 0.804288i \(0.702547\pi\)
−0.993654 + 0.112483i \(0.964120\pi\)
\(458\) 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 0.873122 0.487502i \(-0.162092\pi\)
−0.999897 + 0.0143717i \(0.995425\pi\)
\(462\) −0.223399 + 0.386938i −0.0103934 + 0.0180020i
\(463\) 31.3265i 1.45586i −0.685649 0.727932i \(-0.740482\pi\)
0.685649 0.727932i \(-0.259518\pi\)
\(464\) −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 0.982102 0.188349i \(-0.0603135\pi\)
−0.188349 + 0.982102i \(0.560313\pi\)
\(468\) 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 −0.00711279 0.999975i \(-0.502264\pi\)
−0.506147 + 0.862447i \(0.668931\pi\)
\(480\) 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 0.668507 0.743706i \(-0.266934\pi\)
−0.309815 + 0.950797i \(0.600267\pi\)
\(488\) −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 −0.647347 0.762196i \(-0.724121\pi\)
0.336407 + 0.941717i \(0.390788\pi\)
\(492\) 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 0.0181843 0.999835i \(-0.494211\pi\)
−0.999835 + 0.0181843i \(0.994211\pi\)
\(500\) 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 −0.646516 0.762901i \(-0.723775\pi\)
−0.178449 + 0.983949i \(0.557108\pi\)
\(504\) 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 −0.511401 0.859342i \(-0.670873\pi\)
0.872557 0.488512i \(-0.162460\pi\)
\(510\) −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 −0.973720 0.227749i \(-0.926863\pi\)
0.957141 + 0.289624i \(0.0935301\pi\)
\(524\) −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 0.0784970 0.996914i \(-0.474988\pi\)
−0.996914 + 0.0784970i \(0.974988\pi\)
\(542\) 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 −0.359882 0.932998i \(-0.617183\pi\)
0.932998 + 0.359882i \(0.117183\pi\)
\(548\) −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 0.966385 + 0.257101i \(0.0827673\pi\)
−0.260536 + 0.965464i \(0.583899\pi\)
\(558\) −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 −0.944458 0.328631i \(-0.893413\pi\)
0.653610 0.756832i \(-0.273254\pi\)
\(564\) −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 −0.889149 0.457618i \(-0.848703\pi\)
0.0482653 0.998835i \(-0.484631\pi\)
\(570\) 0.0757288 0.0991496i 0.00317193 0.00415292i
\(571\) 5.59408i 0.234105i 0.993126 + 0.117053i \(0.0373446\pi\)
−0.993126 + 0.117053i \(0.962655\pi\)
\(572\) 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 \(-0.912929\pi\)
0.962820 0.270144i \(-0.0870712\pi\)
\(578\) 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 0.494926 0.868935i \(-0.335195\pi\)
0.999983 + 0.00584852i \(0.00186165\pi\)
\(588\) 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 \(0.0421339\pi\)
−0.991252 + 0.131981i \(0.957866\pi\)
\(594\) 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 \(-0.881085\pi\)
0.931026 0.364953i \(-0.118915\pi\)
\(600\) 4.31891 2.51932i 0.176319 0.102851i
\(601\) −16.6635 28.8620i −0.679717 1.17730i −0.975066 0.221914i \(-0.928769\pi\)
0.295349 0.955389i \(-0.404564\pi\)
\(602\) 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 0.996116 + 0.0880472i \(0.0280626\pi\)
−0.818638 + 0.574309i \(0.805271\pi\)
\(608\) 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 −0.918455 0.395526i \(-0.870562\pi\)
0.116692 0.993168i \(-0.462771\pi\)
\(614\) 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 0.0333930 0.999442i \(-0.489369\pi\)
−0.848846 + 0.528640i \(0.822702\pi\)
\(618\) 7.29027 + 4.20904i 0.293258 + 0.169312i
\(619\) 9.00079 9.00079i 0.361772 0.361772i −0.502693 0.864465i \(-0.667657\pi\)
0.864465 + 0.502693i \(0.167657\pi\)
\(620\) −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 −0.361232 0.932476i \(-0.617644\pi\)
0.153401 + 0.988164i \(0.450977\pi\)
\(632\) 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 0.340568 0.940220i \(-0.389381\pi\)
−0.643970 + 0.765051i \(0.722714\pi\)
\(642\) 7.01419i 0.276828i
\(643\) −8.83093 + 15.2956i −0.348258 + 0.603201i −0.985940 0.167099i \(-0.946560\pi\)
0.637682 + 0.770300i \(0.279893\pi\)
\(644\) −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 −0.262154 0.965026i \(-0.584433\pi\)
0.709545 0.704660i \(-0.248900\pi\)
\(648\) 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 −0.749048 0.662515i \(-0.769489\pi\)
0.979953 0.199231i \(-0.0638444\pi\)
\(654\) −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 0.518410 0.855132i \(-0.326524\pi\)
−0.481361 + 0.876523i \(0.659857\pi\)
\(660\) 1.52776 + 1.16688i 0.0594682 + 0.0454208i
\(661\) −6.39522 + 23.8673i −0.248745 + 0.928330i 0.722719 + 0.691142i \(0.242892\pi\)
−0.971464 + 0.237187i \(0.923774\pi\)
\(662\) 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 0.395831 0.918323i \(-0.370457\pi\)
−0.116362 + 0.993207i \(0.537123\pi\)
\(674\) 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 −0.145589 + 0.989345i \(0.546508\pi\)
−0.989345 + 0.145589i \(0.953492\pi\)
\(678\) 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 0.0762622 0.997088i \(-0.475701\pi\)
−0.825372 + 0.564589i \(0.809035\pi\)
\(684\) 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 0.599754 0.800185i \(-0.295265\pi\)
0.119310 + 0.992857i \(0.461932\pi\)
\(692\) −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 \(-0.812298\pi\)
0.831116 0.556098i \(-0.187702\pi\)
\(702\) −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 0.815497 + 0.578761i \(0.196463\pi\)
−0.416861 + 0.908970i \(0.636870\pi\)
\(710\) −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 −0.402819 0.915280i \(-0.631969\pi\)
0.994065 0.108789i \(-0.0346972\pi\)
\(720\) 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 0.911801 0.410632i \(-0.134692\pi\)
−0.410632 + 0.911801i \(0.634692\pi\)
\(728\) 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 0.449960 0.893049i \(-0.351438\pi\)
−0.0568477 + 0.998383i \(0.518105\pi\)
\(740\) −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 0.978787 + 0.204881i \(0.0656806\pi\)
−0.311962 + 0.950095i \(0.600986\pi\)
\(744\) −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 −0.545246 + 0.838276i \(0.683564\pi\)
−0.998591 + 0.0530591i \(0.983103\pi\)
\(752\) −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 −0.247869 0.968794i \(-0.579730\pi\)
−0.699058 + 0.715065i \(0.746397\pi\)
\(758\) −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 −0.629651 0.776878i \(-0.716802\pi\)
−0.156855 + 0.987622i \(0.550135\pi\)
\(762\) 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 −0.882617