Properties

Label 570.2.u.c.541.1
Level $570$
Weight $2$
Character 570.541
Analytic conductor $4.551$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 541.1
Root \(-0.766044 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 570.541
Dual form 570.2.u.c.511.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 - 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(-0.766044 - 0.642788i) q^{6} +(-0.326352 + 0.565258i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +O(q^{10})\) \(q+(-0.173648 - 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(-0.766044 - 0.642788i) q^{6} +(-0.326352 + 0.565258i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +(-0.173648 + 0.984808i) q^{10} +(-1.43969 - 2.49362i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-1.26604 - 1.06234i) q^{13} +(0.613341 + 0.223238i) q^{14} +(-0.939693 + 0.342020i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-1.26604 - 7.18009i) q^{17} -1.00000 q^{18} +(-3.79086 - 2.15160i) q^{19} +1.00000 q^{20} +(0.113341 + 0.642788i) q^{21} +(-2.20574 + 1.85083i) q^{22} +(-1.61334 + 0.587208i) q^{23} +(0.939693 + 0.342020i) q^{24} +(0.766044 + 0.642788i) q^{25} +(-0.826352 + 1.43128i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(0.113341 - 0.642788i) q^{28} +(0.0282185 - 0.160035i) q^{29} +(0.500000 + 0.866025i) q^{30} +(-0.471782 + 0.817150i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(-2.70574 - 0.984808i) q^{33} +(-6.85117 + 2.49362i) q^{34} +(0.500000 - 0.419550i) q^{35} +(0.173648 + 0.984808i) q^{36} -7.24897 q^{37} +(-1.46064 + 4.10689i) q^{38} -1.65270 q^{39} +(-0.173648 - 0.984808i) q^{40} +(-0.309278 + 0.259515i) q^{41} +(0.613341 - 0.223238i) q^{42} +(10.6702 + 3.88365i) q^{43} +(2.20574 + 1.85083i) q^{44} +(-0.500000 + 0.866025i) q^{45} +(0.858441 + 1.48686i) q^{46} +(1.00727 - 5.71253i) q^{47} +(0.173648 - 0.984808i) q^{48} +(3.28699 + 5.69323i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-5.58512 - 4.68647i) q^{51} +(1.55303 + 0.565258i) q^{52} +(9.93629 - 3.61651i) q^{53} +(-0.766044 + 0.642788i) q^{54} +(0.500000 + 2.83564i) q^{55} -0.652704 q^{56} +(-4.28699 + 0.788496i) q^{57} -0.162504 q^{58} +(-0.790859 - 4.48519i) q^{59} +(0.766044 - 0.642788i) q^{60} +(-10.8093 + 3.93426i) q^{61} +(0.886659 + 0.322718i) q^{62} +(0.500000 + 0.419550i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.826352 + 1.43128i) q^{65} +(-0.500000 + 2.83564i) q^{66} +(-0.396459 + 2.24843i) q^{67} +(3.64543 + 6.31407i) q^{68} +(-0.858441 + 1.48686i) q^{69} +(-0.500000 - 0.419550i) q^{70} +(4.01114 + 1.45994i) q^{71} +(0.939693 - 0.342020i) q^{72} +(8.73055 - 7.32580i) q^{73} +(1.25877 + 7.13884i) q^{74} +1.00000 q^{75} +(4.29813 + 0.725293i) q^{76} +1.87939 q^{77} +(0.286989 + 1.62760i) q^{78} +(-3.73783 + 3.13641i) q^{79} +(-0.939693 + 0.342020i) q^{80} +(-0.939693 - 0.342020i) q^{81} +(0.309278 + 0.259515i) q^{82} +(2.14543 - 3.71599i) q^{83} +(-0.326352 - 0.565258i) q^{84} +(-1.26604 + 7.18009i) q^{85} +(1.97178 - 11.1825i) q^{86} +(-0.0812519 - 0.140732i) q^{87} +(1.43969 - 2.49362i) q^{88} +(1.91147 + 1.60392i) q^{89} +(0.939693 + 0.342020i) q^{90} +(1.01367 - 0.368946i) q^{91} +(1.31521 - 1.10359i) q^{92} +(0.163848 + 0.929228i) q^{93} -5.80066 q^{94} +(2.82635 + 3.31839i) q^{95} -1.00000 q^{96} +(-2.43717 - 13.8219i) q^{97} +(5.03596 - 4.22567i) q^{98} +(-2.70574 + 0.984808i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 3q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 3q^{7} + 3q^{8} - 3q^{11} - 3q^{12} - 3q^{13} - 3q^{14} - 3q^{17} - 6q^{18} + 9q^{19} + 6q^{20} - 6q^{21} - 3q^{22} - 3q^{23} - 6q^{26} - 3q^{27} - 6q^{28} + 15q^{29} + 3q^{30} + 12q^{31} - 6q^{33} - 15q^{34} + 3q^{35} - 18q^{37} - 12q^{39} + 18q^{41} - 3q^{42} + 21q^{43} + 3q^{44} - 3q^{45} - 3q^{46} + 24q^{47} + 12q^{49} + 3q^{50} - 12q^{51} - 3q^{52} + 12q^{53} + 3q^{55} - 6q^{56} - 18q^{57} - 6q^{58} + 27q^{59} - 45q^{61} + 12q^{62} + 3q^{63} - 3q^{64} + 6q^{65} - 3q^{66} - 12q^{67} + 6q^{68} + 3q^{69} - 3q^{70} + 18q^{71} + 15q^{73} - 15q^{74} + 6q^{75} + 12q^{76} - 6q^{78} - 3q^{79} - 18q^{82} - 3q^{83} - 3q^{84} - 3q^{85} - 3q^{86} - 3q^{87} + 3q^{88} - 9q^{89} - 15q^{91} + 15q^{92} - 3q^{93} - 6q^{94} + 18q^{95} - 6q^{96} - 24q^{97} - 3q^{98} - 6q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{9}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 0.984808i −0.122788 0.696364i
\(3\) 0.766044 0.642788i 0.442276 0.371114i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) −0.939693 0.342020i −0.420243 0.152956i
\(6\) −0.766044 0.642788i −0.312736 0.262417i
\(7\) −0.326352 + 0.565258i −0.123349 + 0.213647i −0.921087 0.389358i \(-0.872697\pi\)
0.797737 + 0.603005i \(0.206030\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 0.173648 0.984808i 0.0578827 0.328269i
\(10\) −0.173648 + 0.984808i −0.0549124 + 0.311424i
\(11\) −1.43969 2.49362i −0.434084 0.751855i 0.563137 0.826364i \(-0.309594\pi\)
−0.997220 + 0.0745088i \(0.976261\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) −1.26604 1.06234i −0.351138 0.294639i 0.450109 0.892974i \(-0.351385\pi\)
−0.801247 + 0.598334i \(0.795830\pi\)
\(14\) 0.613341 + 0.223238i 0.163922 + 0.0596628i
\(15\) −0.939693 + 0.342020i −0.242628 + 0.0883092i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −1.26604 7.18009i −0.307061 1.74143i −0.613642 0.789584i \(-0.710296\pi\)
0.306581 0.951844i \(-0.400815\pi\)
\(18\) −1.00000 −0.235702
\(19\) −3.79086 2.15160i −0.869683 0.493611i
\(20\) 1.00000 0.223607
\(21\) 0.113341 + 0.642788i 0.0247330 + 0.140268i
\(22\) −2.20574 + 1.85083i −0.470265 + 0.394599i
\(23\) −1.61334 + 0.587208i −0.336405 + 0.122441i −0.504699 0.863296i \(-0.668396\pi\)
0.168294 + 0.985737i \(0.446174\pi\)
\(24\) 0.939693 + 0.342020i 0.191814 + 0.0698146i
\(25\) 0.766044 + 0.642788i 0.153209 + 0.128558i
\(26\) −0.826352 + 1.43128i −0.162061 + 0.280698i
\(27\) −0.500000 0.866025i −0.0962250 0.166667i
\(28\) 0.113341 0.642788i 0.0214194 0.121475i
\(29\) 0.0282185 0.160035i 0.00524004 0.0297178i −0.982076 0.188487i \(-0.939642\pi\)
0.987316 + 0.158770i \(0.0507527\pi\)
\(30\) 0.500000 + 0.866025i 0.0912871 + 0.158114i
\(31\) −0.471782 + 0.817150i −0.0847345 + 0.146764i −0.905278 0.424820i \(-0.860338\pi\)
0.820544 + 0.571584i \(0.193671\pi\)
\(32\) −0.766044 0.642788i −0.135419 0.113630i
\(33\) −2.70574 0.984808i −0.471008 0.171433i
\(34\) −6.85117 + 2.49362i −1.17497 + 0.427652i
\(35\) 0.500000 0.419550i 0.0845154 0.0709169i
\(36\) 0.173648 + 0.984808i 0.0289414 + 0.164135i
\(37\) −7.24897 −1.19172 −0.595862 0.803087i \(-0.703189\pi\)
−0.595862 + 0.803087i \(0.703189\pi\)
\(38\) −1.46064 + 4.10689i −0.236947 + 0.666225i
\(39\) −1.65270 −0.264644
\(40\) −0.173648 0.984808i −0.0274562 0.155712i
\(41\) −0.309278 + 0.259515i −0.0483011 + 0.0405294i −0.666619 0.745399i \(-0.732259\pi\)
0.618318 + 0.785928i \(0.287815\pi\)
\(42\) 0.613341 0.223238i 0.0946405 0.0344463i
\(43\) 10.6702 + 3.88365i 1.62720 + 0.592251i 0.984734 0.174065i \(-0.0556904\pi\)
0.642463 + 0.766317i \(0.277913\pi\)
\(44\) 2.20574 + 1.85083i 0.332527 + 0.279024i
\(45\) −0.500000 + 0.866025i −0.0745356 + 0.129099i
\(46\) 0.858441 + 1.48686i 0.126570 + 0.219226i
\(47\) 1.00727 5.71253i 0.146926 0.833259i −0.818875 0.573973i \(-0.805402\pi\)
0.965801 0.259286i \(-0.0834873\pi\)
\(48\) 0.173648 0.984808i 0.0250640 0.142145i
\(49\) 3.28699 + 5.69323i 0.469570 + 0.813319i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) −5.58512 4.68647i −0.782074 0.656238i
\(52\) 1.55303 + 0.565258i 0.215367 + 0.0783872i
\(53\) 9.93629 3.61651i 1.36485 0.496766i 0.447303 0.894383i \(-0.352385\pi\)
0.917552 + 0.397616i \(0.130163\pi\)
\(54\) −0.766044 + 0.642788i −0.104245 + 0.0874723i
\(55\) 0.500000 + 2.83564i 0.0674200 + 0.382358i
\(56\) −0.652704 −0.0872212
\(57\) −4.28699 + 0.788496i −0.567826 + 0.104439i
\(58\) −0.162504 −0.0213378
\(59\) −0.790859 4.48519i −0.102961 0.583922i −0.992015 0.126119i \(-0.959748\pi\)
0.889054 0.457802i \(-0.151363\pi\)
\(60\) 0.766044 0.642788i 0.0988959 0.0829835i
\(61\) −10.8093 + 3.93426i −1.38399 + 0.503730i −0.923384 0.383877i \(-0.874589\pi\)
−0.460602 + 0.887607i \(0.652366\pi\)
\(62\) 0.886659 + 0.322718i 0.112606 + 0.0409852i
\(63\) 0.500000 + 0.419550i 0.0629941 + 0.0528583i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.826352 + 1.43128i 0.102496 + 0.177529i
\(66\) −0.500000 + 2.83564i −0.0615457 + 0.349043i
\(67\) −0.396459 + 2.24843i −0.0484352 + 0.274690i −0.999401 0.0346062i \(-0.988982\pi\)
0.950966 + 0.309296i \(0.100093\pi\)
\(68\) 3.64543 + 6.31407i 0.442073 + 0.765693i
\(69\) −0.858441 + 1.48686i −0.103344 + 0.178997i
\(70\) −0.500000 0.419550i −0.0597614 0.0501458i
\(71\) 4.01114 + 1.45994i 0.476035 + 0.173263i 0.568884 0.822418i \(-0.307375\pi\)
−0.0928491 + 0.995680i \(0.529597\pi\)
\(72\) 0.939693 0.342020i 0.110744 0.0403075i
\(73\) 8.73055 7.32580i 1.02183 0.857420i 0.0319770 0.999489i \(-0.489820\pi\)
0.989857 + 0.142068i \(0.0453752\pi\)
\(74\) 1.25877 + 7.13884i 0.146329 + 0.829874i
\(75\) 1.00000 0.115470
\(76\) 4.29813 + 0.725293i 0.493030 + 0.0831968i
\(77\) 1.87939 0.214176
\(78\) 0.286989 + 1.62760i 0.0324951 + 0.184289i
\(79\) −3.73783 + 3.13641i −0.420538 + 0.352874i −0.828368 0.560185i \(-0.810730\pi\)
0.407830 + 0.913058i \(0.366286\pi\)
\(80\) −0.939693 + 0.342020i −0.105061 + 0.0382390i
\(81\) −0.939693 0.342020i −0.104410 0.0380022i
\(82\) 0.309278 + 0.259515i 0.0341540 + 0.0286586i
\(83\) 2.14543 3.71599i 0.235492 0.407883i −0.723924 0.689880i \(-0.757663\pi\)
0.959415 + 0.281997i \(0.0909967\pi\)
\(84\) −0.326352 0.565258i −0.0356079 0.0616747i
\(85\) −1.26604 + 7.18009i −0.137322 + 0.778791i
\(86\) 1.97178 11.1825i 0.212623 1.20584i
\(87\) −0.0812519 0.140732i −0.00871112 0.0150881i
\(88\) 1.43969 2.49362i 0.153472 0.265821i
\(89\) 1.91147 + 1.60392i 0.202616 + 0.170015i 0.738450 0.674309i \(-0.235558\pi\)
−0.535834 + 0.844323i \(0.680003\pi\)
\(90\) 0.939693 + 0.342020i 0.0990523 + 0.0360521i
\(91\) 1.01367 0.368946i 0.106262 0.0386760i
\(92\) 1.31521 1.10359i 0.137120 0.115057i
\(93\) 0.163848 + 0.929228i 0.0169902 + 0.0963565i
\(94\) −5.80066 −0.598292
\(95\) 2.82635 + 3.31839i 0.289978 + 0.340460i
\(96\) −1.00000 −0.102062
\(97\) −2.43717 13.8219i −0.247457 1.40340i −0.814717 0.579859i \(-0.803108\pi\)
0.567260 0.823538i \(-0.308003\pi\)
\(98\) 5.03596 4.22567i 0.508709 0.426857i
\(99\) −2.70574 + 0.984808i −0.271937 + 0.0989769i
\(100\) −0.939693 0.342020i −0.0939693 0.0342020i
\(101\) −7.01367 5.88517i −0.697886 0.585596i 0.223285 0.974753i \(-0.428322\pi\)
−0.921171 + 0.389157i \(0.872766\pi\)
\(102\) −3.64543 + 6.31407i −0.360951 + 0.625186i
\(103\) 8.33022 + 14.4284i 0.820801 + 1.42167i 0.905086 + 0.425228i \(0.139806\pi\)
−0.0842852 + 0.996442i \(0.526861\pi\)
\(104\) 0.286989 1.62760i 0.0281416 0.159599i
\(105\) 0.113341 0.642788i 0.0110609 0.0627296i
\(106\) −5.28699 9.15733i −0.513518 0.889439i
\(107\) 3.85457 6.67631i 0.372635 0.645423i −0.617335 0.786701i \(-0.711788\pi\)
0.989970 + 0.141277i \(0.0451209\pi\)
\(108\) 0.766044 + 0.642788i 0.0737127 + 0.0618523i
\(109\) −7.71213 2.80699i −0.738688 0.268861i −0.0548505 0.998495i \(-0.517468\pi\)
−0.683838 + 0.729634i \(0.739690\pi\)
\(110\) 2.70574 0.984808i 0.257982 0.0938977i
\(111\) −5.55303 + 4.65955i −0.527071 + 0.442265i
\(112\) 0.113341 + 0.642788i 0.0107097 + 0.0607377i
\(113\) 10.0446 0.944914 0.472457 0.881354i \(-0.343367\pi\)
0.472457 + 0.881354i \(0.343367\pi\)
\(114\) 1.52094 + 4.08494i 0.142450 + 0.382590i
\(115\) 1.71688 0.160100
\(116\) 0.0282185 + 0.160035i 0.00262002 + 0.0148589i
\(117\) −1.26604 + 1.06234i −0.117046 + 0.0982131i
\(118\) −4.27972 + 1.55769i −0.393980 + 0.143397i
\(119\) 4.47178 + 1.62760i 0.409928 + 0.149201i
\(120\) −0.766044 0.642788i −0.0699300 0.0586782i
\(121\) 1.35457 2.34618i 0.123143 0.213290i
\(122\) 5.75150 + 9.96188i 0.520716 + 0.901907i
\(123\) −0.0701076 + 0.397600i −0.00632139 + 0.0358504i
\(124\) 0.163848 0.929228i 0.0147140 0.0834472i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) 0.326352 0.565258i 0.0290737 0.0503572i
\(127\) 2.52094 + 2.11532i 0.223698 + 0.187705i 0.747748 0.663983i \(-0.231135\pi\)
−0.524050 + 0.851687i \(0.675580\pi\)
\(128\) 0.939693 + 0.342020i 0.0830579 + 0.0302306i
\(129\) 10.6702 3.88365i 0.939463 0.341936i
\(130\) 1.26604 1.06234i 0.111039 0.0931732i
\(131\) 1.18479 + 6.71929i 0.103516 + 0.587067i 0.991803 + 0.127778i \(0.0407846\pi\)
−0.888287 + 0.459289i \(0.848104\pi\)
\(132\) 2.87939 0.250618
\(133\) 2.45336 1.44063i 0.212734 0.124919i
\(134\) 2.28312 0.197231
\(135\) 0.173648 + 0.984808i 0.0149453 + 0.0847588i
\(136\) 5.58512 4.68647i 0.478920 0.401862i
\(137\) −9.55690 + 3.47843i −0.816501 + 0.297182i −0.716307 0.697786i \(-0.754169\pi\)
−0.100195 + 0.994968i \(0.531947\pi\)
\(138\) 1.61334 + 0.587208i 0.137337 + 0.0499865i
\(139\) −4.63429 3.88863i −0.393075 0.329829i 0.424735 0.905318i \(-0.360367\pi\)
−0.817810 + 0.575489i \(0.804812\pi\)
\(140\) −0.326352 + 0.565258i −0.0275818 + 0.0477730i
\(141\) −2.90033 5.02352i −0.244252 0.423057i
\(142\) 0.741230 4.20372i 0.0622026 0.352768i
\(143\) −0.826352 + 4.68647i −0.0691030 + 0.391903i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −0.0812519 + 0.140732i −0.00674760 + 0.0116872i
\(146\) −8.73055 7.32580i −0.722546 0.606288i
\(147\) 6.17752 + 2.24843i 0.509513 + 0.185448i
\(148\) 6.81180 2.47929i 0.559927 0.203797i
\(149\) 11.1643 9.36797i 0.914616 0.767454i −0.0583753 0.998295i \(-0.518592\pi\)
0.972992 + 0.230841i \(0.0741476\pi\)
\(150\) −0.173648 0.984808i −0.0141783 0.0804092i
\(151\) 13.5449 1.10227 0.551133 0.834417i \(-0.314196\pi\)
0.551133 + 0.834417i \(0.314196\pi\)
\(152\) −0.0320889 4.35878i −0.00260275 0.353544i
\(153\) −7.29086 −0.589431
\(154\) −0.326352 1.85083i −0.0262982 0.149144i
\(155\) 0.722811 0.606511i 0.0580576 0.0487161i
\(156\) 1.55303 0.565258i 0.124342 0.0452569i
\(157\) 20.6805 + 7.52709i 1.65048 + 0.600727i 0.988825 0.149078i \(-0.0476304\pi\)
0.661659 + 0.749805i \(0.269853\pi\)
\(158\) 3.73783 + 3.13641i 0.297365 + 0.249519i
\(159\) 5.28699 9.15733i 0.419285 0.726224i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 0.194593 1.10359i 0.0153361 0.0869751i
\(162\) −0.173648 + 0.984808i −0.0136431 + 0.0773738i
\(163\) 0.724155 + 1.25427i 0.0567202 + 0.0982423i 0.892991 0.450074i \(-0.148602\pi\)
−0.836271 + 0.548316i \(0.815269\pi\)
\(164\) 0.201867 0.349643i 0.0157631 0.0273026i
\(165\) 2.20574 + 1.85083i 0.171716 + 0.144087i
\(166\) −4.03209 1.46756i −0.312951 0.113905i
\(167\) 17.7690 6.46740i 1.37501 0.500462i 0.454348 0.890824i \(-0.349872\pi\)
0.920662 + 0.390362i \(0.127650\pi\)
\(168\) −0.500000 + 0.419550i −0.0385758 + 0.0323690i
\(169\) −1.78312 10.1126i −0.137163 0.777890i
\(170\) 7.29086 0.559183
\(171\) −2.77719 + 3.35965i −0.212377 + 0.256919i
\(172\) −11.3550 −0.865813
\(173\) −0.200522 1.13722i −0.0152454 0.0864612i 0.976236 0.216711i \(-0.0695331\pi\)
−0.991481 + 0.130250i \(0.958422\pi\)
\(174\) −0.124485 + 0.104455i −0.00943719 + 0.00791875i
\(175\) −0.613341 + 0.223238i −0.0463642 + 0.0168752i
\(176\) −2.70574 0.984808i −0.203953 0.0742327i
\(177\) −3.48886 2.92750i −0.262238 0.220044i
\(178\) 1.24763 2.16095i 0.0935135 0.161970i
\(179\) 4.12836 + 7.15052i 0.308568 + 0.534455i 0.978049 0.208374i \(-0.0668170\pi\)
−0.669482 + 0.742829i \(0.733484\pi\)
\(180\) 0.173648 0.984808i 0.0129430 0.0734032i
\(181\) 0.370767 2.10272i 0.0275589 0.156294i −0.967923 0.251248i \(-0.919159\pi\)
0.995482 + 0.0949534i \(0.0302702\pi\)
\(182\) −0.539363 0.934204i −0.0399802 0.0692478i
\(183\) −5.75150 + 9.96188i −0.425163 + 0.736404i
\(184\) −1.31521 1.10359i −0.0969584 0.0813577i
\(185\) 6.81180 + 2.47929i 0.500814 + 0.182281i
\(186\) 0.886659 0.322718i 0.0650130 0.0236628i
\(187\) −16.0817 + 13.4942i −1.17601 + 0.986791i
\(188\) 1.00727 + 5.71253i 0.0734630 + 0.416629i
\(189\) 0.652704 0.0474772
\(190\) 2.77719 3.35965i 0.201478 0.243734i
\(191\) −4.06418 −0.294074 −0.147037 0.989131i \(-0.546974\pi\)
−0.147037 + 0.989131i \(0.546974\pi\)
\(192\) 0.173648 + 0.984808i 0.0125320 + 0.0710724i
\(193\) 0.115400 0.0968323i 0.00830669 0.00697014i −0.638625 0.769518i \(-0.720496\pi\)
0.646932 + 0.762548i \(0.276052\pi\)
\(194\) −13.1887 + 4.80028i −0.946891 + 0.344640i
\(195\) 1.55303 + 0.565258i 0.111215 + 0.0404790i
\(196\) −5.03596 4.22567i −0.359711 0.301834i
\(197\) −2.13563 + 3.69902i −0.152157 + 0.263544i −0.932020 0.362406i \(-0.881955\pi\)
0.779863 + 0.625950i \(0.215289\pi\)
\(198\) 1.43969 + 2.49362i 0.102314 + 0.177214i
\(199\) 0.222811 1.26363i 0.0157947 0.0895760i −0.975891 0.218257i \(-0.929963\pi\)
0.991686 + 0.128680i \(0.0410742\pi\)
\(200\) −0.173648 + 0.984808i −0.0122788 + 0.0696364i
\(201\) 1.14156 + 1.97724i 0.0805194 + 0.139464i
\(202\) −4.57785 + 7.92907i −0.322096 + 0.557887i
\(203\) 0.0812519 + 0.0681784i 0.00570277 + 0.00478519i
\(204\) 6.85117 + 2.49362i 0.479678 + 0.174588i
\(205\) 0.379385 0.138085i 0.0264974 0.00964427i
\(206\) 12.7626 10.7091i 0.889215 0.746140i
\(207\) 0.298133 + 1.69080i 0.0207217 + 0.117519i
\(208\) −1.65270 −0.114594
\(209\) 0.0923963 + 12.5506i 0.00639118 + 0.868144i
\(210\) −0.652704 −0.0450408
\(211\) 1.17752 + 6.67804i 0.0810637 + 0.459735i 0.998137 + 0.0610160i \(0.0194341\pi\)
−0.917073 + 0.398719i \(0.869455\pi\)
\(212\) −8.10014 + 6.79682i −0.556320 + 0.466808i
\(213\) 4.01114 1.45994i 0.274839 0.100033i
\(214\) −7.24422 2.63668i −0.495205 0.180240i
\(215\) −8.69846 7.29888i −0.593230 0.497779i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) −0.307934 0.533356i −0.0209039 0.0362066i
\(218\) −1.42514 + 8.08240i −0.0965230 + 0.547409i
\(219\) 1.97906 11.2238i 0.133732 0.758433i
\(220\) −1.43969 2.49362i −0.0970641 0.168120i
\(221\) −6.02481 + 10.4353i −0.405273 + 0.701953i
\(222\) 5.55303 + 4.65955i 0.372695 + 0.312728i
\(223\) 26.5390 + 9.65939i 1.77718 + 0.646841i 0.999842 + 0.0177565i \(0.00565238\pi\)
0.777337 + 0.629084i \(0.216570\pi\)
\(224\) 0.613341 0.223238i 0.0409806 0.0149157i
\(225\) 0.766044 0.642788i 0.0510696 0.0428525i
\(226\) −1.74422 9.89198i −0.116024 0.658005i
\(227\) −21.5645 −1.43128 −0.715642 0.698467i \(-0.753866\pi\)
−0.715642 + 0.698467i \(0.753866\pi\)
\(228\) 3.75877 2.20718i 0.248931 0.146174i
\(229\) −11.1206 −0.734871 −0.367435 0.930049i \(-0.619764\pi\)
−0.367435 + 0.930049i \(0.619764\pi\)
\(230\) −0.298133 1.69080i −0.0196583 0.111488i
\(231\) 1.43969 1.20805i 0.0947248 0.0794836i
\(232\) 0.152704 0.0555796i 0.0100255 0.00364898i
\(233\) −14.6604 5.33597i −0.960438 0.349571i −0.186233 0.982506i \(-0.559628\pi\)
−0.774205 + 0.632935i \(0.781850\pi\)
\(234\) 1.26604 + 1.06234i 0.0827639 + 0.0694472i
\(235\) −2.90033 + 5.02352i −0.189197 + 0.327698i
\(236\) 2.27719 + 3.94421i 0.148232 + 0.256746i
\(237\) −0.847296 + 4.80526i −0.0550378 + 0.312135i
\(238\) 0.826352 4.68647i 0.0535644 0.303779i
\(239\) 10.0064 + 17.3316i 0.647260 + 1.12109i 0.983775 + 0.179409i \(0.0574185\pi\)
−0.336515 + 0.941678i \(0.609248\pi\)
\(240\) −0.500000 + 0.866025i −0.0322749 + 0.0559017i
\(241\) −21.5535 18.0855i −1.38838 1.16499i −0.965990 0.258579i \(-0.916746\pi\)
−0.422393 0.906413i \(-0.638810\pi\)
\(242\) −2.54576 0.926581i −0.163648 0.0595629i
\(243\) −0.939693 + 0.342020i −0.0602813 + 0.0219406i
\(244\) 8.81180 7.39398i 0.564118 0.473351i
\(245\) −1.14156 6.47410i −0.0729315 0.413615i
\(246\) 0.403733 0.0257411
\(247\) 2.51367 + 6.75119i 0.159941 + 0.429568i
\(248\) −0.943563 −0.0599163
\(249\) −0.745100 4.22567i −0.0472188 0.267791i
\(250\) −0.766044 + 0.642788i −0.0484489 + 0.0406535i
\(251\) −24.1250 + 8.78076i −1.52275 + 0.554237i −0.961834 0.273633i \(-0.911774\pi\)
−0.560919 + 0.827870i \(0.689552\pi\)
\(252\) −0.613341 0.223238i −0.0386368 0.0140627i
\(253\) 3.78699 + 3.17766i 0.238086 + 0.199778i
\(254\) 1.64543 2.84997i 0.103243 0.178823i
\(255\) 3.64543 + 6.31407i 0.228286 + 0.395402i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 4.07011 23.0827i 0.253886 1.43986i −0.545029 0.838417i \(-0.683481\pi\)
0.798915 0.601444i \(-0.205408\pi\)
\(258\) −5.67752 9.83375i −0.353467 0.612223i
\(259\) 2.36571 4.09754i 0.146998 0.254609i
\(260\) −1.26604 1.06234i −0.0785167 0.0658834i
\(261\) −0.152704 0.0555796i −0.00945212 0.00344029i
\(262\) 6.41147 2.33359i 0.396102 0.144169i
\(263\) −15.2613 + 12.8057i −0.941052 + 0.789636i −0.977768 0.209689i \(-0.932755\pi\)
0.0367162 + 0.999326i \(0.488310\pi\)
\(264\) −0.500000 2.83564i −0.0307729 0.174522i
\(265\) −10.5740 −0.649554
\(266\) −1.84477 2.16593i −0.113110 0.132802i
\(267\) 2.49525 0.152707
\(268\) −0.396459 2.24843i −0.0242176 0.137345i
\(269\) −11.8216 + 9.91950i −0.720776 + 0.604803i −0.927600 0.373575i \(-0.878132\pi\)
0.206824 + 0.978378i \(0.433687\pi\)
\(270\) 0.939693 0.342020i 0.0571879 0.0208147i
\(271\) 21.1951 + 7.71437i 1.28751 + 0.468615i 0.892908 0.450238i \(-0.148661\pi\)
0.394600 + 0.918853i \(0.370883\pi\)
\(272\) −5.58512 4.68647i −0.338648 0.284159i
\(273\) 0.539363 0.934204i 0.0326437 0.0565406i
\(274\) 5.08512 + 8.80769i 0.307203 + 0.532092i
\(275\) 0.500000 2.83564i 0.0301511 0.170996i
\(276\) 0.298133 1.69080i 0.0179455 0.101774i
\(277\) −9.38713 16.2590i −0.564018 0.976907i −0.997140 0.0755724i \(-0.975922\pi\)
0.433123 0.901335i \(-0.357412\pi\)
\(278\) −3.02481 + 5.23913i −0.181416 + 0.314222i
\(279\) 0.722811 + 0.606511i 0.0432736 + 0.0363108i
\(280\) 0.613341 + 0.223238i 0.0366541 + 0.0133410i
\(281\) −15.9338 + 5.79942i −0.950529 + 0.345964i −0.770315 0.637663i \(-0.779901\pi\)
−0.180213 + 0.983628i \(0.557679\pi\)
\(282\) −4.44356 + 3.72859i −0.264610 + 0.222034i
\(283\) 2.87299 + 16.2935i 0.170781 + 0.968550i 0.942901 + 0.333073i \(0.108085\pi\)
−0.772120 + 0.635477i \(0.780803\pi\)
\(284\) −4.26857 −0.253293
\(285\) 4.29813 + 0.725293i 0.254599 + 0.0429626i
\(286\) 4.75877 0.281392
\(287\) −0.0457595 0.259515i −0.00270110 0.0153187i
\(288\) −0.766044 + 0.642788i −0.0451396 + 0.0378766i
\(289\) −33.9761 + 12.3663i −1.99860 + 0.727429i
\(290\) 0.152704 + 0.0555796i 0.00896707 + 0.00326375i
\(291\) −10.7515 9.02158i −0.630264 0.528854i
\(292\) −5.69846 + 9.87003i −0.333477 + 0.577600i
\(293\) −9.04576 15.6677i −0.528459 0.915318i −0.999449 0.0331794i \(-0.989437\pi\)
0.470991 0.882138i \(-0.343897\pi\)
\(294\) 1.14156 6.47410i 0.0665771 0.377577i
\(295\) −0.790859 + 4.48519i −0.0460456 + 0.261138i
\(296\) −3.62449 6.27779i −0.210669 0.364889i
\(297\) −1.43969 + 2.49362i −0.0835394 + 0.144695i
\(298\) −11.1643 9.36797i −0.646731 0.542672i
\(299\) 2.66637 + 0.970481i 0.154200 + 0.0561244i
\(300\) −0.939693 + 0.342020i −0.0542532 + 0.0197465i
\(301\) −5.67752 + 4.76400i −0.327247 + 0.274593i
\(302\) −2.35204 13.3391i −0.135345 0.767579i
\(303\) −9.15570 −0.525981
\(304\) −4.28699 + 0.788496i −0.245876 + 0.0452233i
\(305\) 11.5030 0.658659
\(306\) 1.26604 + 7.18009i 0.0723749 + 0.410459i
\(307\) 13.9704 11.7226i 0.797335 0.669043i −0.150214 0.988653i \(-0.547996\pi\)
0.947549 + 0.319610i \(0.103552\pi\)
\(308\) −1.76604 + 0.642788i −0.100630 + 0.0366262i
\(309\) 15.6557 + 5.69821i 0.890621 + 0.324160i
\(310\) −0.722811 0.606511i −0.0410529 0.0344475i
\(311\) −11.2738 + 19.5268i −0.639278 + 1.10726i 0.346314 + 0.938119i \(0.387433\pi\)
−0.985592 + 0.169143i \(0.945900\pi\)
\(312\) −0.826352 1.43128i −0.0467830 0.0810305i
\(313\) 4.28224 24.2858i 0.242047 1.37271i −0.585206 0.810885i \(-0.698986\pi\)
0.827253 0.561830i \(-0.189902\pi\)
\(314\) 3.82160 21.6734i 0.215666 1.22310i
\(315\) −0.326352 0.565258i −0.0183878 0.0318487i
\(316\) 2.43969 4.22567i 0.137243 0.237713i
\(317\) 12.4855 + 10.4765i 0.701253 + 0.588421i 0.922130 0.386881i \(-0.126447\pi\)
−0.220877 + 0.975302i \(0.570892\pi\)
\(318\) −9.93629 3.61651i −0.557199 0.202804i
\(319\) −0.439693 + 0.160035i −0.0246181 + 0.00896024i
\(320\) 0.766044 0.642788i 0.0428232 0.0359329i
\(321\) −1.33868 7.59202i −0.0747177 0.423745i
\(322\) −1.12061 −0.0624494
\(323\) −10.6493 + 29.9428i −0.592543 + 1.66606i
\(324\) 1.00000 0.0555556
\(325\) −0.286989 1.62760i −0.0159193 0.0902827i
\(326\) 1.10947 0.930956i 0.0614479 0.0515609i
\(327\) −7.71213 + 2.80699i −0.426482 + 0.155227i
\(328\) −0.379385 0.138085i −0.0209480 0.00762447i
\(329\) 2.90033 + 2.43367i 0.159900 + 0.134172i
\(330\) 1.43969 2.49362i 0.0792525 0.137269i
\(331\) −3.21941 5.57618i −0.176955 0.306494i 0.763881 0.645357i \(-0.223291\pi\)
−0.940836 + 0.338862i \(0.889958\pi\)
\(332\) −0.745100 + 4.22567i −0.0408927 + 0.231914i
\(333\) −1.25877 + 7.13884i −0.0689802 + 0.391206i
\(334\) −9.45471 16.3760i −0.517339 0.896057i
\(335\) 1.14156 1.97724i 0.0623700 0.108028i
\(336\) 0.500000 + 0.419550i 0.0272772 + 0.0228883i
\(337\) 18.5767 + 6.76135i 1.01194 + 0.368314i 0.794176 0.607688i \(-0.207903\pi\)
0.217760 + 0.976002i \(0.430125\pi\)
\(338\) −9.64930 + 3.51206i −0.524853 + 0.191031i
\(339\) 7.69459 6.45653i 0.417913 0.350671i
\(340\) −1.26604 7.18009i −0.0686609 0.389395i
\(341\) 2.71688 0.147127
\(342\) 3.79086 + 2.15160i 0.204986 + 0.116345i
\(343\) −8.85978 −0.478383
\(344\) 1.97178 + 11.1825i 0.106311 + 0.602922i
\(345\) 1.31521 1.10359i 0.0708084 0.0594153i
\(346\) −1.08512 + 0.394952i −0.0583365 + 0.0212328i
\(347\) −27.4722 9.99908i −1.47479 0.536779i −0.525392 0.850861i \(-0.676081\pi\)
−0.949396 + 0.314082i \(0.898303\pi\)
\(348\) 0.124485 + 0.104455i 0.00667310 + 0.00559940i
\(349\) 8.26264 14.3113i 0.442289 0.766067i −0.555570 0.831470i \(-0.687500\pi\)
0.997859 + 0.0654028i \(0.0208332\pi\)
\(350\) 0.326352 + 0.565258i 0.0174442 + 0.0302143i
\(351\) −0.286989 + 1.62760i −0.0153183 + 0.0868746i
\(352\) −0.500000 + 2.83564i −0.0266501 + 0.151140i
\(353\) −2.38413 4.12944i −0.126895 0.219788i 0.795577 0.605852i \(-0.207168\pi\)
−0.922472 + 0.386064i \(0.873834\pi\)
\(354\) −2.27719 + 3.94421i −0.121031 + 0.209632i
\(355\) −3.26991 2.74378i −0.173549 0.145625i
\(356\) −2.34477 0.853427i −0.124273 0.0452315i
\(357\) 4.47178 1.62760i 0.236672 0.0861415i
\(358\) 6.32501 5.30731i 0.334287 0.280500i
\(359\) −5.80423 32.9174i −0.306335 1.73731i −0.617152 0.786844i \(-0.711714\pi\)
0.310817 0.950470i \(-0.399397\pi\)
\(360\) −1.00000 −0.0527046
\(361\) 9.74123 + 16.3128i 0.512696 + 0.858570i
\(362\) −2.13516 −0.112222
\(363\) −0.470437 2.66798i −0.0246916 0.140033i
\(364\) −0.826352 + 0.693392i −0.0433126 + 0.0363436i
\(365\) −10.7096 + 3.89798i −0.560566 + 0.204030i
\(366\) 10.8093 + 3.93426i 0.565010 + 0.205647i
\(367\) 4.23577 + 3.55423i 0.221105 + 0.185529i 0.746611 0.665261i \(-0.231680\pi\)
−0.525506 + 0.850790i \(0.676124\pi\)
\(368\) −0.858441 + 1.48686i −0.0447493 + 0.0775081i
\(369\) 0.201867 + 0.349643i 0.0105088 + 0.0182017i
\(370\) 1.25877 7.13884i 0.0654404 0.371131i
\(371\) −1.19846 + 6.79682i −0.0622211 + 0.352873i
\(372\) −0.471782 0.817150i −0.0244607 0.0423672i
\(373\) −6.22462 + 10.7814i −0.322299 + 0.558238i −0.980962 0.194200i \(-0.937789\pi\)
0.658663 + 0.752438i \(0.271122\pi\)
\(374\) 16.0817 + 13.4942i 0.831566 + 0.697767i
\(375\) −0.939693 0.342020i −0.0485255 0.0176618i
\(376\) 5.45084 1.98394i 0.281105 0.102314i
\(377\) −0.205737 + 0.172634i −0.0105960 + 0.00889110i
\(378\) −0.113341 0.642788i −0.00582962 0.0330614i
\(379\) 13.2098 0.678540 0.339270 0.940689i \(-0.389820\pi\)
0.339270 + 0.940689i \(0.389820\pi\)
\(380\) −3.79086 2.15160i −0.194467 0.110375i
\(381\) 3.29086 0.168596
\(382\) 0.705737 + 4.00243i 0.0361086 + 0.204782i
\(383\) −20.7310 + 17.3954i −1.05931 + 0.888863i −0.994041 0.109005i \(-0.965234\pi\)
−0.0652644 + 0.997868i \(0.520789\pi\)
\(384\) 0.939693 0.342020i 0.0479535 0.0174536i
\(385\) −1.76604 0.642788i −0.0900060 0.0327595i
\(386\) −0.115400 0.0968323i −0.00587372 0.00492863i
\(387\) 5.67752 9.83375i 0.288604 0.499878i
\(388\) 7.01754 + 12.1547i 0.356262 + 0.617063i
\(389\) 2.58424 14.6560i 0.131026 0.743088i −0.846518 0.532360i \(-0.821305\pi\)
0.977545 0.210728i \(-0.0675835\pi\)
\(390\) 0.286989 1.62760i 0.0145323 0.0824165i
\(391\) 6.25877 + 10.8405i 0.316520 + 0.548228i
\(392\) −3.28699 + 5.69323i −0.166018 + 0.287552i
\(393\) 5.22668 + 4.38571i 0.263651 + 0.221230i
\(394\) 4.01367 + 1.46086i 0.202206 + 0.0735969i
\(395\) 4.58512 1.66885i 0.230703 0.0839689i
\(396\) 2.20574 1.85083i 0.110842 0.0930079i
\(397\) −4.13041 23.4247i −0.207300 1.17565i −0.893780 0.448506i \(-0.851956\pi\)
0.686480 0.727148i \(-0.259155\pi\)
\(398\) −1.28312 −0.0643169
\(399\) 0.953363 2.68058i 0.0477279 0.134197i
\(400\) 1.00000 0.0500000
\(401\) 0.159978 + 0.907278i 0.00798890 + 0.0453073i 0.988542 0.150949i \(-0.0482328\pi\)
−0.980553 + 0.196256i \(0.937122\pi\)
\(402\) 1.74897 1.46756i 0.0872307 0.0731953i
\(403\) 1.46538 0.533356i 0.0729960 0.0265684i
\(404\) 8.60354 + 3.13143i 0.428042 + 0.155795i
\(405\) 0.766044 + 0.642788i 0.0380651 + 0.0319404i
\(406\) 0.0530334 0.0918566i 0.00263200 0.00455877i
\(407\) 10.4363 + 18.0762i 0.517308 + 0.896003i
\(408\) 1.26604 7.18009i 0.0626785 0.355468i
\(409\) −1.79339 + 10.1708i −0.0886772 + 0.502913i 0.907825 + 0.419349i \(0.137742\pi\)
−0.996502 + 0.0835646i \(0.973370\pi\)
\(410\) −0.201867 0.349643i −0.00996948 0.0172677i
\(411\) −5.08512 + 8.80769i −0.250831 + 0.434451i
\(412\) −12.7626 10.7091i −0.628770 0.527601i
\(413\) 2.79339 + 1.01671i 0.137454 + 0.0500290i
\(414\) 1.61334 0.587208i 0.0792914 0.0288597i
\(415\) −3.28699 + 2.75811i −0.161352 + 0.135390i
\(416\) 0.286989 + 1.62760i 0.0140708 + 0.0797994i
\(417\) −6.04963 −0.296252
\(418\) 12.3439 2.27038i 0.603760 0.111048i
\(419\) −0.568926 −0.0277938 −0.0138969 0.999903i \(-0.504424\pi\)
−0.0138969 + 0.999903i \(0.504424\pi\)
\(420\) 0.113341 + 0.642788i 0.00553046 + 0.0313648i
\(421\) −9.80381 + 8.22638i −0.477809 + 0.400929i −0.849633 0.527374i \(-0.823177\pi\)
0.371825 + 0.928303i \(0.378732\pi\)
\(422\) 6.37211 2.31926i 0.310190 0.112900i
\(423\) −5.45084 1.98394i −0.265029 0.0964626i
\(424\) 8.10014 + 6.79682i 0.393377 + 0.330083i
\(425\) 3.64543 6.31407i 0.176829 0.306277i
\(426\) −2.13429 3.69669i −0.103406 0.179105i
\(427\) 1.30376 7.39398i 0.0630933 0.357820i
\(428\) −1.33868 + 7.59202i −0.0647075 + 0.366974i
\(429\) 2.37939 + 4.12122i 0.114878 + 0.198974i
\(430\) −5.67752 + 9.83375i −0.273794 + 0.474226i
\(431\) 20.7324 + 17.3965i 0.998643 + 0.837961i 0.986796 0.161969i \(-0.0517845\pi\)
0.0118469 + 0.999930i \(0.496229\pi\)
\(432\) −0.939693 0.342020i −0.0452110 0.0164555i
\(433\) 23.8704 8.68810i 1.14714 0.417523i 0.302650 0.953102i \(-0.402129\pi\)
0.844486 + 0.535578i \(0.179906\pi\)
\(434\) −0.471782 + 0.395872i −0.0226462 + 0.0190024i
\(435\) 0.0282185 + 0.160035i 0.00135297 + 0.00767309i
\(436\) 8.20708 0.393048
\(437\) 7.37939 + 1.24524i 0.353004 + 0.0595680i
\(438\) −11.3969 −0.544566
\(439\) 2.28880 + 12.9804i 0.109238 + 0.619522i 0.989442 + 0.144927i \(0.0462946\pi\)
−0.880204 + 0.474596i \(0.842594\pi\)
\(440\) −2.20574 + 1.85083i −0.105154 + 0.0882350i
\(441\) 6.17752 2.24843i 0.294168 0.107068i
\(442\) 11.3229 + 4.12122i 0.538578 + 0.196026i
\(443\) −21.2049 17.7930i −1.00747 0.845370i −0.0194711 0.999810i \(-0.506198\pi\)
−0.988002 + 0.154440i \(0.950643\pi\)
\(444\) 3.62449 6.27779i 0.172010 0.297931i
\(445\) −1.24763 2.16095i −0.0591432 0.102439i
\(446\) 4.90420 27.8131i 0.232221 1.31699i
\(447\) 2.53074 14.3526i 0.119700 0.678853i
\(448\) −0.326352 0.565258i −0.0154187 0.0267059i
\(449\) 9.91013 17.1648i 0.467688 0.810059i −0.531630 0.846976i \(-0.678420\pi\)
0.999318 + 0.0369172i \(0.0117538\pi\)
\(450\) −0.766044 0.642788i −0.0361117 0.0303013i
\(451\) 1.09240 + 0.397600i 0.0514389 + 0.0187222i
\(452\) −9.43882 + 3.43545i −0.443965 + 0.161590i
\(453\) 10.3760 8.70648i 0.487506 0.409066i
\(454\) 3.74463 + 21.2369i 0.175744 + 0.996696i
\(455\) −1.07873 −0.0505714
\(456\) −2.82635 3.31839i −0.132356 0.155398i
\(457\) 7.76651 0.363302 0.181651 0.983363i \(-0.441856\pi\)
0.181651 + 0.983363i \(0.441856\pi\)
\(458\) 1.93107 + 10.9517i 0.0902332 + 0.511738i
\(459\) −5.58512 + 4.68647i −0.260691 + 0.218746i
\(460\) −1.61334 + 0.587208i −0.0752224 + 0.0273787i
\(461\) 25.4770 + 9.27287i 1.18658 + 0.431881i 0.858522 0.512776i \(-0.171383\pi\)
0.328060 + 0.944657i \(0.393605\pi\)
\(462\) −1.43969 1.20805i −0.0669806 0.0562034i
\(463\) 5.27197 9.13133i 0.245009 0.424369i −0.717125 0.696945i \(-0.754542\pi\)
0.962134 + 0.272576i \(0.0878756\pi\)
\(464\) −0.0812519 0.140732i −0.00377203 0.00653334i
\(465\) 0.163848 0.929228i 0.00759827 0.0430919i
\(466\) −2.70914 + 15.3643i −0.125499 + 0.711737i
\(467\) −1.79426 3.10775i −0.0830286 0.143810i 0.821521 0.570178i \(-0.193126\pi\)
−0.904549 + 0.426369i \(0.859793\pi\)
\(468\) 0.826352 1.43128i 0.0381981 0.0661611i
\(469\) −1.14156 0.957882i −0.0527123 0.0442309i
\(470\) 5.45084 + 1.98394i 0.251428 + 0.0915124i
\(471\) 20.6805 7.52709i 0.952908 0.346830i
\(472\) 3.48886 2.92750i 0.160588 0.134749i
\(473\) −5.67752 32.1988i −0.261053 1.48050i
\(474\) 4.87939 0.224118
\(475\) −1.52094 4.08494i −0.0697857 0.187430i
\(476\) −4.75877 −0.218118
\(477\) −1.83615 10.4133i −0.0840716 0.476794i
\(478\) 15.3307 12.8640i 0.701209 0.588385i
\(479\) 1.07650 0.391815i 0.0491867 0.0179025i −0.317310 0.948322i \(-0.602779\pi\)
0.366496 + 0.930419i \(0.380557\pi\)
\(480\) 0.939693 + 0.342020i 0.0428909 + 0.0156110i
\(481\) 9.17752 + 7.70085i 0.418459 + 0.351129i
\(482\) −14.0680 + 24.3666i −0.640782 + 1.10987i
\(483\) −0.560307 0.970481i −0.0254949 0.0441584i
\(484\) −0.470437 + 2.66798i −0.0213835 + 0.121272i
\(485\) −2.43717 + 13.8219i −0.110666 + 0.627618i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −1.81773 + 3.14841i −0.0823694 + 0.142668i −0.904267 0.426967i \(-0.859582\pi\)
0.821898 + 0.569635i \(0.192915\pi\)
\(488\) −8.81180 7.39398i −0.398892 0.334710i
\(489\) 1.36097 + 0.495351i 0.0615451 + 0.0224006i
\(490\) −6.17752 + 2.24843i −0.279072 + 0.101574i
\(491\) 8.26193 6.93258i 0.372855 0.312863i −0.437034 0.899445i \(-0.643971\pi\)
0.809890 + 0.586582i \(0.199527\pi\)
\(492\) −0.0701076 0.397600i −0.00316069 0.0179252i
\(493\) −1.18479 −0.0533604
\(494\) 6.21213 3.64781i 0.279497 0.164123i
\(495\) 2.87939 0.129419
\(496\) 0.163848 + 0.929228i 0.00735699 + 0.0417236i
\(497\) −2.13429 + 1.79088i −0.0957358 + 0.0803319i
\(498\) −4.03209 + 1.46756i −0.180682 + 0.0657630i
\(499\) 7.66860 + 2.79114i 0.343293 + 0.124949i 0.507913 0.861409i \(-0.330417\pi\)
−0.164619 + 0.986357i \(0.552639\pi\)
\(500\) 0.766044 + 0.642788i 0.0342585 + 0.0287463i
\(501\) 9.45471 16.3760i 0.422405 0.731627i
\(502\) 12.8366 + 22.2337i 0.572926 + 0.992338i
\(503\) 5.01872 28.4626i 0.223774 1.26908i −0.641242 0.767339i \(-0.721580\pi\)
0.865015 0.501745i \(-0.167309\pi\)
\(504\) −0.113341 + 0.642788i −0.00504860 + 0.0286320i
\(505\) 4.57785 + 7.92907i 0.203712 + 0.352839i
\(506\) 2.47178 4.28125i 0.109884 0.190325i
\(507\) −7.86618 6.60051i −0.349349 0.293139i
\(508\) −3.09240 1.12554i −0.137203 0.0499378i
\(509\) −13.5963 + 4.94864i −0.602644 + 0.219344i −0.625281 0.780399i \(-0.715016\pi\)
0.0226376 + 0.999744i \(0.492794\pi\)
\(510\) 5.58512 4.68647i 0.247313 0.207521i
\(511\) 1.29174 + 7.32580i 0.0571431 + 0.324074i
\(512\) −1.00000 −0.0441942
\(513\) 0.0320889 + 4.35878i 0.00141676 + 0.192445i
\(514\) −23.4388 −1.03384
\(515\) −2.89306 16.4073i −0.127483 0.722994i
\(516\) −8.69846 + 7.29888i −0.382928 + 0.321315i
\(517\) −15.6951 + 5.71253i −0.690268 + 0.251237i
\(518\) −4.44609 1.61824i −0.195350 0.0711016i
\(519\) −0.884600 0.742267i −0.0388296 0.0325819i
\(520\) −0.826352 + 1.43128i −0.0362379 + 0.0627659i
\(521\) 14.3675 + 24.8853i 0.629453 + 1.09024i 0.987662 + 0.156603i \(0.0500542\pi\)
−0.358209 + 0.933641i \(0.616612\pi\)
\(522\) −0.0282185 + 0.160035i −0.00123509 + 0.00700454i
\(523\) 0.677519 3.84240i 0.0296258 0.168016i −0.966405 0.257023i \(-0.917258\pi\)
0.996031 + 0.0890070i \(0.0283694\pi\)
\(524\) −3.41147 5.90885i −0.149031 0.258129i
\(525\) −0.326352 + 0.565258i −0.0142432 + 0.0246699i
\(526\) 15.2613 + 12.8057i 0.665424 + 0.558357i
\(527\) 6.46451 + 2.35289i 0.281598 + 0.102493i
\(528\) −2.70574 + 0.984808i −0.117752 + 0.0428583i
\(529\) −15.3610 + 12.8894i −0.667868 + 0.560408i
\(530\) 1.83615 + 10.4133i 0.0797573 + 0.452326i
\(531\) −4.55438 −0.197643
\(532\) −1.81268 + 2.19285i −0.0785897 + 0.0950722i
\(533\) 0.667252 0.0289019
\(534\) −0.433296 2.45734i −0.0187506 0.106340i
\(535\) −5.90554 + 4.95534i −0.255319 + 0.214238i
\(536\) −2.14543 + 0.780873i −0.0926684 + 0.0337286i
\(537\) 7.75877 + 2.82396i 0.334816 + 0.121863i
\(538\) 11.8216 + 9.91950i 0.509666 + 0.427660i
\(539\) 9.46451 16.3930i 0.407665 0.706097i
\(540\) −0.500000 0.866025i −0.0215166 0.0372678i
\(541\) 2.26635 12.8531i 0.0974380 0.552598i −0.896535 0.442973i \(-0.853924\pi\)
0.993973 0.109625i \(-0.0349651\pi\)
\(542\) 3.91669 22.2126i 0.168236 0.954115i
\(543\) −1.06758 1.84911i −0.0458143 0.0793527i
\(544\) −3.64543 + 6.31407i −0.156297 + 0.270713i
\(545\) 6.28699 + 5.27541i 0.269305 + 0.225974i
\(546\) −1.01367 0.368946i −0.0433811 0.0157894i
\(547\) 34.1724 12.4377i 1.46110 0.531799i 0.515435 0.856929i \(-0.327630\pi\)
0.945669 + 0.325130i \(0.105408\pi\)
\(548\) 7.79086 6.53731i 0.332809 0.279260i
\(549\) 1.99747 + 11.3282i 0.0852501 + 0.483477i
\(550\) −2.87939 −0.122777
\(551\) −0.451304 + 0.545955i −0.0192262 + 0.0232585i
\(552\) −1.71688 −0.0730753
\(553\) −0.553033 3.13641i −0.0235174 0.133374i
\(554\) −14.3819 + 12.0679i −0.611029 + 0.512714i
\(555\) 6.81180 2.47929i 0.289145 0.105240i
\(556\) 5.68479 + 2.06910i 0.241089 + 0.0877492i
\(557\) −1.76083 1.47751i −0.0746088 0.0626042i 0.604721 0.796438i \(-0.293285\pi\)
−0.679329 + 0.733834i \(0.737729\pi\)
\(558\) 0.471782 0.817150i 0.0199721 0.0345927i
\(559\) −9.38326 16.2523i −0.396869 0.687398i
\(560\) 0.113341 0.642788i 0.00478952 0.0271627i
\(561\) −3.64543 + 20.6743i −0.153910 + 0.872868i
\(562\) 8.47818 + 14.6846i 0.357630 + 0.619434i
\(563\) 12.4508 21.5655i 0.524740 0.908877i −0.474845 0.880070i \(-0.657496\pi\)
0.999585 0.0288071i \(-0.00917087\pi\)
\(564\) 4.44356 + 3.72859i 0.187108 + 0.157002i
\(565\) −9.43882 3.43545i −0.397094 0.144530i
\(566\) 15.5471 5.65868i 0.653494 0.237852i
\(567\) 0.500000 0.419550i 0.0209980 0.0176194i
\(568\) 0.741230 + 4.20372i 0.0311013 + 0.176384i
\(569\) 6.07461 0.254661 0.127330 0.991860i \(-0.459359\pi\)
0.127330 + 0.991860i \(0.459359\pi\)
\(570\) −0.0320889 4.35878i −0.00134406 0.182569i
\(571\) 17.8557 0.747236 0.373618 0.927583i \(-0.378117\pi\)
0.373618 + 0.927583i \(0.378117\pi\)
\(572\) −0.826352 4.68647i −0.0345515 0.195951i
\(573\) −3.11334 + 2.61240i −0.130062 + 0.109135i
\(574\) −0.247626 + 0.0901285i −0.0103357 + 0.00376189i
\(575\) −1.61334 0.587208i −0.0672810 0.0244883i
\(576\) 0.766044 + 0.642788i 0.0319185 + 0.0267828i
\(577\) 2.57991 4.46853i 0.107403 0.186027i −0.807314 0.590121i \(-0.799080\pi\)
0.914717 + 0.404094i \(0.132413\pi\)
\(578\) 18.0783 + 31.3126i 0.751959 + 1.30243i
\(579\) 0.0261591 0.148356i 0.00108714 0.00616545i
\(580\) 0.0282185 0.160035i 0.00117171 0.00664509i
\(581\) 1.40033 + 2.42544i 0.0580955 + 0.100624i
\(582\) −7.01754 + 12.1547i −0.290886 + 0.503830i
\(583\) −23.3234 19.5707i −0.965957 0.810534i
\(584\) 10.7096 + 3.89798i 0.443167 + 0.161299i
\(585\) 1.55303 0.565258i 0.0642100 0.0233705i
\(586\) −13.8589 + 11.6290i −0.572506 + 0.480390i
\(587\) 2.52915 + 14.3435i 0.104389 + 0.592021i 0.991462 + 0.130392i \(0.0416237\pi\)
−0.887073 + 0.461629i \(0.847265\pi\)
\(588\) −6.57398 −0.271106
\(589\) 3.54664 2.08261i 0.146137 0.0858126i
\(590\) 4.55438 0.187501
\(591\) 0.741696 + 4.20637i 0.0305093 + 0.173027i
\(592\) −5.55303 + 4.65955i −0.228228 + 0.191506i
\(593\) −42.0771 + 15.3148i −1.72790 + 0.628904i −0.998478 0.0551583i \(-0.982434\pi\)
−0.729423 + 0.684063i \(0.760211\pi\)
\(594\) 2.70574 + 0.984808i 0.111018 + 0.0404072i
\(595\) −3.64543 3.05888i −0.149448 0.125402i
\(596\) −7.28699 + 12.6214i −0.298487 + 0.516994i
\(597\) −0.641559 1.11121i −0.0262573 0.0454789i
\(598\) 0.492726 2.79439i 0.0201491 0.114271i
\(599\) 0.801947 4.54807i 0.0327667 0.185829i −0.964031 0.265788i \(-0.914368\pi\)
0.996798 + 0.0799590i \(0.0254790\pi\)
\(600\) 0.500000 + 0.866025i 0.0204124 + 0.0353553i
\(601\) 23.6374 40.9412i 0.964191 1.67003i 0.252419 0.967618i \(-0.418774\pi\)
0.711772 0.702410i \(-0.247893\pi\)
\(602\) 5.67752 + 4.76400i 0.231398 + 0.194166i
\(603\) 2.14543 + 0.780873i 0.0873687 + 0.0317996i
\(604\) −12.7280 + 4.63262i −0.517896 + 0.188499i
\(605\) −2.07532 + 1.74140i −0.0843738 + 0.0707981i
\(606\) 1.58987 + 9.01660i 0.0645841 + 0.366274i
\(607\) 26.4516 1.07364 0.536819 0.843698i \(-0.319626\pi\)
0.536819 + 0.843698i \(0.319626\pi\)
\(608\) 1.52094 + 4.08494i 0.0616824 + 0.165666i
\(609\) 0.106067 0.00429805
\(610\) −1.99747 11.3282i −0.0808753 0.458667i
\(611\) −7.34389 + 6.16226i −0.297102 + 0.249298i
\(612\) 6.85117 2.49362i 0.276942 0.100799i
\(613\) −9.56583 3.48168i −0.386360 0.140624i 0.141535 0.989933i \(-0.454796\pi\)
−0.527895 + 0.849310i \(0.677019\pi\)
\(614\) −13.9704 11.7226i −0.563801 0.473085i
\(615\) 0.201867 0.349643i 0.00814005 0.0140990i
\(616\) 0.939693 + 1.62760i 0.0378613 + 0.0655777i
\(617\) −1.62613 + 9.22226i −0.0654657 + 0.371274i 0.934420 + 0.356172i \(0.115918\pi\)
−0.999886 + 0.0151020i \(0.995193\pi\)
\(618\) 2.89306 16.4073i 0.116376 0.660000i
\(619\) −15.3803 26.6395i −0.618187 1.07073i −0.989816 0.142350i \(-0.954534\pi\)
0.371629 0.928381i \(-0.378799\pi\)
\(620\) −0.471782 + 0.817150i −0.0189472 + 0.0328175i
\(621\) 1.31521 + 1.10359i 0.0527775 + 0.0442855i
\(622\) 21.1878 + 7.71172i 0.849553 + 0.309212i
\(623\) −1.53044 + 0.557035i −0.0613158 + 0.0223171i
\(624\) −1.26604 + 1.06234i −0.0506823 + 0.0425275i
\(625\) 0.173648 + 0.984808i 0.00694593 + 0.0393923i
\(626\) −24.6604 −0.985630
\(627\) 8.13816 + 9.55493i 0.325007 + 0.381587i
\(628\) −22.0077 −0.878204
\(629\) 9.17752 + 52.0483i 0.365932 + 2.07530i
\(630\) −0.500000 + 0.419550i −0.0199205 + 0.0167153i
\(631\) −22.1853 + 8.07477i −0.883181 + 0.321452i −0.743493 0.668744i \(-0.766832\pi\)
−0.139688 + 0.990196i \(0.544610\pi\)
\(632\) −4.58512 1.66885i −0.182386 0.0663832i
\(633\) 5.19459 + 4.35878i 0.206467 + 0.173246i
\(634\) 8.14930 14.1150i 0.323650 0.560578i
\(635\) −1.64543 2.84997i −0.0652969 0.113098i
\(636\) −1.83615 + 10.4133i −0.0728082 + 0.412916i
\(637\) 1.88666 10.6998i 0.0747522 0.423941i
\(638\) 0.233956 + 0.405223i 0.00926239 + 0.0160429i
\(639\) 2.13429 3.69669i 0.0844310 0.146239i
\(640\) −0.766044 0.642788i −0.0302806 0.0254084i
\(641\) −6.38490 2.32392i −0.252189 0.0917891i 0.212833 0.977089i \(-0.431731\pi\)
−0.465021 + 0.885300i \(0.653953\pi\)
\(642\) −7.24422 + 2.63668i −0.285907 + 0.104062i
\(643\) −23.2108 + 19.4762i −0.915344 + 0.768065i −0.973128 0.230264i \(-0.926041\pi\)
0.0577840 + 0.998329i \(0.481597\pi\)
\(644\) 0.194593 + 1.10359i 0.00766803 + 0.0434875i
\(645\) −11.3550 −0.447104
\(646\) 31.3371 + 5.28801i 1.23294 + 0.208054i
\(647\) 32.0597 1.26040 0.630199 0.776434i \(-0.282973\pi\)
0.630199 + 0.776434i \(0.282973\pi\)
\(648\) −0.173648 0.984808i −0.00682154 0.0386869i
\(649\) −10.0458 + 8.42939i −0.394331 + 0.330883i
\(650\) −1.55303 + 0.565258i −0.0609150 + 0.0221712i
\(651\) −0.578726 0.210639i −0.0226820 0.00825559i
\(652\) −1.10947 0.930956i −0.0434502 0.0364591i
\(653\) 17.4192 30.1710i 0.681667 1.18068i −0.292805 0.956172i \(-0.594589\pi\)
0.974472 0.224509i \(-0.0720778\pi\)
\(654\) 4.10354 + 7.10754i 0.160461 + 0.277927i
\(655\) 1.18479 6.71929i 0.0462937 0.262544i
\(656\) −0.0701076 + 0.397600i −0.00273724 + 0.0155237i
\(657\) −5.69846 9.87003i −0.222318 0.385066i
\(658\) 1.89306 3.27887i 0.0737990 0.127824i
\(659\) 7.82501 + 6.56596i 0.304819 + 0.255774i 0.782347 0.622843i \(-0.214023\pi\)
−0.477528 + 0.878617i \(0.658467\pi\)
\(660\) −2.70574 0.984808i −0.105321 0.0383336i
\(661\) 12.6429 4.60164i 0.491752 0.178983i −0.0842286 0.996446i \(-0.526843\pi\)
0.575981 + 0.817463i \(0.304620\pi\)
\(662\) −4.93242 + 4.13879i −0.191704 + 0.160859i
\(663\) 2.09240 + 11.8666i 0.0812619 + 0.460859i
\(664\) 4.29086 0.166518
\(665\) −2.79813 + 0.514654i −0.108507 + 0.0199574i
\(666\) 7.24897 0.280892
\(667\) 0.0484478 + 0.274761i 0.00187591 + 0.0106388i
\(668\) −14.4855 + 12.1547i −0.560459 + 0.470281i
\(669\) 26.5390 9.65939i 1.02606 0.373454i
\(670\) −2.14543 0.780873i −0.0828852 0.0301677i
\(671\) 25.3726 + 21.2901i 0.979498 + 0.821896i
\(672\) 0.326352 0.565258i 0.0125893 0.0218053i
\(673\) −11.2242 19.4408i −0.432659 0.749388i 0.564442 0.825473i \(-0.309091\pi\)
−0.997101 + 0.0760847i \(0.975758\pi\)
\(674\) 3.43283 19.4685i 0.132228 0.749900i
\(675\) 0.173648 0.984808i 0.00668372 0.0379053i
\(676\) 5.13429 + 8.89284i 0.197473 + 0.342032i
\(677\) −12.7233 + 22.0374i −0.488995 + 0.846965i −0.999920 0.0126609i \(-0.995970\pi\)
0.510925 + 0.859626i \(0.329303\pi\)
\(678\) −7.69459 6.45653i −0.295509 0.247962i
\(679\) 8.60829 + 3.13316i 0.330356 + 0.120240i
\(680\) −6.85117 + 2.49362i −0.262730 + 0.0956260i
\(681\) −16.5194 + 13.8614i −0.633023 + 0.531169i
\(682\) −0.471782 2.67561i −0.0180654 0.102454i
\(683\) 11.0574 0.423099 0.211549 0.977367i \(-0.432149\pi\)
0.211549 + 0.977367i \(0.432149\pi\)
\(684\) 1.46064 4.10689i 0.0558489 0.157031i
\(685\) 10.1702 0.388585
\(686\) 1.53849 + 8.72518i 0.0587396 + 0.333129i
\(687\) −8.51889 + 7.14819i −0.325016 + 0.272721i
\(688\) 10.6702 3.88365i 0.406799 0.148063i
\(689\) −16.4217 5.97702i −0.625619 0.227707i
\(690\) −1.31521 1.10359i −0.0500691 0.0420130i
\(691\) 7.53895 13.0578i 0.286795 0.496744i −0.686248 0.727368i \(-0.740743\pi\)
0.973043 + 0.230624i \(0.0740767\pi\)
\(692\) 0.577382 + 1.00005i 0.0219488 + 0.0380164i
\(693\) 0.326352 1.85083i 0.0123971 0.0703073i
\(694\) −5.07667 + 28.7912i −0.192708 + 1.09290i
\(695\) 3.02481 + 5.23913i 0.114738 + 0.198732i
\(696\) 0.0812519 0.140732i 0.00307985 0.00533445i
\(697\) 2.25490 + 1.89209i 0.0854104 + 0.0716679i
\(698\) −15.5287 5.65198i −0.587769 0.213931i
\(699\) −14.6604 + 5.33597i −0.554509 + 0.201825i
\(700\) 0.500000 0.419550i 0.0188982 0.0158575i
\(701\) 4.68433 + 26.5661i 0.176925 + 1.00339i 0.935899 + 0.352269i \(0.114590\pi\)
−0.758974 + 0.651120i \(0.774299\pi\)
\(702\) 1.65270 0.0623773
\(703\) 27.4798 + 15.5969i 1.03642 + 0.588248i
\(704\) 2.87939 0.108521
\(705\) 1.00727 + 5.71253i 0.0379361 + 0.215146i
\(706\) −3.65270 + 3.06498i −0.137471 + 0.115352i
\(707\) 5.61556 2.04390i 0.211195 0.0768687i
\(708\) 4.27972 + 1.55769i 0.160842 + 0.0585415i
\(709\) −5.68479 4.77011i −0.213497 0.179145i 0.529768 0.848143i \(-0.322279\pi\)
−0.743264 + 0.668998i \(0.766724\pi\)
\(710\) −2.13429 + 3.69669i −0.0800983 + 0.138734i
\(711\) 2.43969 + 4.22567i 0.0914956 + 0.158475i
\(712\) −0.433296 + 2.45734i −0.0162385 + 0.0920929i
\(713\) 0.281308 1.59537i 0.0105351 0.0597472i
\(714\) −2.37939 4.12122i −0.0890463 0.154233i
\(715\) 2.37939 4.12122i 0.0889840 0.154125i
\(716\) −6.32501 5.30731i −0.236377 0.198344i
\(717\) 18.8059 + 6.84478i 0.702318 + 0.255623i
\(718\) −31.4094 + 11.4321i −1.17219 + 0.426642i
\(719\) 8.05556 6.75942i 0.300422 0.252084i −0.480098 0.877215i \(-0.659399\pi\)
0.780520 + 0.625131i \(0.214954\pi\)
\(720\) 0.173648 + 0.984808i 0.00647149 + 0.0367016i
\(721\) −10.8743 −0.404981
\(722\) 14.3735 12.4259i 0.534925 0.462445i
\(723\) −28.1361 −1.04639
\(724\) 0.370767 + 2.10272i 0.0137795 + 0.0781472i
\(725\) 0.124485 0.104455i 0.00462326 0.00387938i
\(726\) −2.54576 + 0.926581i −0.0944820 + 0.0343886i
\(727\) −22.1160 8.04958i −0.820238 0.298542i −0.102392 0.994744i \(-0.532650\pi\)
−0.717846 + 0.696202i \(0.754872\pi\)
\(728\) 0.826352 + 0.693392i 0.0306266 + 0.0256988i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) 5.69846 + 9.87003i 0.210910 + 0.365306i
\(731\) 14.3760 81.5302i 0.531715 3.01550i
\(732\) 1.99747 11.3282i 0.0738288 0.418704i
\(733\) −9.98932 17.3020i −0.368964 0.639064i 0.620440 0.784254i \(-0.286954\pi\)
−0.989404 + 0.145190i \(0.953621\pi\)
\(734\) 2.76470 4.78860i 0.102047 0.176751i
\(735\) −5.03596 4.22567i −0.185754 0.155866i
\(736\) 1.61334 + 0.587208i 0.0594685 + 0.0216448i
\(737\) 6.17752 2.24843i 0.227552 0.0828221i
\(738\) 0.309278 0.259515i 0.0113847 0.00955287i
\(739\) −6.06835 34.4153i −0.223228 1.26599i −0.866044 0.499968i \(-0.833345\pi\)
0.642816 0.766021i \(-0.277766\pi\)
\(740\) −7.24897 −0.266477
\(741\) 6.26517 + 3.55596i 0.230157 + 0.130631i
\(742\) 6.90167 0.253368
\(743\) 1.37867 + 7.81883i 0.0505785 + 0.286845i 0.999597 0.0283744i \(-0.00903305\pi\)
−0.949019 + 0.315219i \(0.897922\pi\)
\(744\) −0.722811 + 0.606511i −0.0264995 + 0.0222358i
\(745\) −13.6951 + 4.98459i −0.501748 + 0.182621i
\(746\) 11.6985 + 4.25789i 0.428311 + 0.155893i
\(747\) −3.28699 2.75811i −0.120265 0.100914i
\(748\) 10.4966 18.1806i 0.383794 0.664750i
\(749\) 2.51589 + 4.35765i 0.0919287 + 0.159225i
\(750\) −0.173648 + 0.984808i −0.00634073 + 0.0359601i
\(751\) −2.10947 + 11.9634i −0.0769757 + 0.436551i 0.921826 + 0.387605i \(0.126697\pi\)
−0.998801 + 0.0489462i \(0.984414\pi\)
\(752\) −2.90033 5.02352i −0.105764 0.183189i
\(753\) −12.8366 + 22.2337i −0.467792 + 0.810240i
\(754\) 0.205737 + 0.172634i 0.00749250 + 0.00628696i
\(755\) −12.7280 4.63262i −0.463220 0.168598i
\(756\) −0.613341 + 0.223238i −0.0223070 + 0.00811908i
\(757\) −41.6161 + 34.9200i −1.51256 + 1.26919i −0.653984 + 0.756509i \(0.726904\pi\)
−0.858579 + 0.512682i \(0.828652\pi\)
\(758\) −2.29385 13.0091i −0.0833165 0.472511i
\(759\) 4.94356 0.179440
\(760\) −1.46064 + 4.10689i −0.0529829 + 0.148973i
\(761\) 46.0283 1.66852 0.834262 0.551368i \(-0.185894\pi\)
0.834262 + 0.551368i \(0.185894\pi\)
\(762\) −0.571452 3.24086i −0.0207015 0.117404i
\(763\) 4.10354 3.44328i 0.148558 0.124655i
\(764\) 3.81908 1.39003i 0.138169 0.0502895i
\(765\) 6.85117 + 2.49362i 0.247704 + 0.0901570i
\(766\) 20.7310 + 17.3954i 0.749042 + 0.628521i
\(767\) −3.76352 + 6.51860i −0.135893 + 0.235373i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) −6.97384 + 39.5506i −0.251483 + 1.42623i 0.553458 + 0.832877i \(0.313308\pi\)
−0.804941 + 0.593355i \(0.797803\pi\)
\(770\) −0.326352 + 1.85083i −0.0117609 + 0.0666994i
\(771\) −11.7194 20.2986i −0.422064 0.731037i
\(772\) −0.0753221 + 0.130462i −0.00271090 + 0.00469542i