Properties

Label 546.2.by.b.115.10
Level $546$
Weight $2$
Character 546.115
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.10
Character \(\chi\) \(=\) 546.115
Dual form 546.2.by.b.19.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(3.44884 + 0.924115i) q^{5} +(0.258819 + 0.965926i) q^{6} +(2.64483 - 0.0697092i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(3.44884 + 0.924115i) q^{5} +(0.258819 + 0.965926i) q^{6} +(2.64483 - 0.0697092i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +3.57050 q^{10} +(-1.42008 + 1.42008i) q^{11} +(0.500000 + 0.866025i) q^{12} +(-3.59128 - 0.320427i) q^{13} +(2.53667 - 0.751867i) q^{14} +(-0.924115 + 3.44884i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.36459 - 4.09559i) q^{17} +(-0.965926 + 0.258819i) q^{18} +(-0.481710 + 0.481710i) q^{19} +(3.44884 - 0.924115i) q^{20} +(0.0697092 + 2.64483i) q^{21} +(-1.00415 + 1.73923i) q^{22} +(-6.58772 - 3.80342i) q^{23} +(0.707107 + 0.707107i) q^{24} +(6.71040 + 3.87425i) q^{25} +(-3.55185 + 0.619984i) q^{26} -1.00000i q^{27} +(2.25564 - 1.38279i) q^{28} +(3.67396 + 6.36349i) q^{29} +3.57050i q^{30} +(-2.30074 - 8.58648i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-1.42008 - 1.42008i) q^{33} +(-3.34404 - 3.34404i) q^{34} +(9.18603 + 2.20371i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(2.36967 + 8.84374i) q^{37} +(-0.340620 + 0.589971i) q^{38} +(0.320427 - 3.59128i) q^{39} +(3.09215 - 1.78525i) q^{40} +(0.562251 + 0.150655i) q^{41} +(0.751867 + 2.53667i) q^{42} +(-1.13065 - 0.652784i) q^{43} +(-0.519784 + 1.93986i) q^{44} +(-3.44884 - 0.924115i) q^{45} +(-7.34764 - 1.96880i) q^{46} +(-2.73012 + 10.1889i) q^{47} +(0.866025 + 0.500000i) q^{48} +(6.99028 - 0.368739i) q^{49} +(7.48448 + 2.00546i) q^{50} +(4.09559 - 2.36459i) q^{51} +(-3.27036 + 1.51814i) q^{52} +(6.72250 - 11.6437i) q^{53} +(-0.258819 - 0.965926i) q^{54} +(-6.20993 + 3.58531i) q^{55} +(1.82089 - 1.91947i) q^{56} +(-0.481710 - 0.481710i) q^{57} +(5.19577 + 5.19577i) q^{58} +(-2.23058 + 8.32464i) q^{59} +(0.924115 + 3.44884i) q^{60} -9.88401i q^{61} +(-4.44469 - 7.69843i) q^{62} +(-2.64483 + 0.0697092i) q^{63} -1.00000i q^{64} +(-12.0897 - 4.42386i) q^{65} +(-1.73923 - 1.00415i) q^{66} +(-4.57802 - 4.57802i) q^{67} +(-4.09559 - 2.36459i) q^{68} +(3.80342 - 6.58772i) q^{69} +(9.44339 - 0.248897i) q^{70} +(5.57676 - 1.49429i) q^{71} +(-0.707107 + 0.707107i) q^{72} +(3.55378 - 0.952233i) q^{73} +(4.57786 + 7.92908i) q^{74} +(-3.87425 + 6.71040i) q^{75} +(-0.176318 + 0.658028i) q^{76} +(-3.65687 + 3.85486i) q^{77} +(-0.619984 - 3.55185i) q^{78} +(-2.44183 - 4.22937i) q^{79} +(2.52473 - 2.52473i) q^{80} +1.00000 q^{81} +0.582085 q^{82} +(-7.56743 + 7.56743i) q^{83} +(1.38279 + 2.25564i) q^{84} +(-4.37031 - 16.3102i) q^{85} +(-1.26108 - 0.337906i) q^{86} +(-6.36349 + 3.67396i) q^{87} +2.00829i q^{88} +(-14.5686 + 3.90366i) q^{89} -3.57050 q^{90} +(-9.52068 - 0.597130i) q^{91} -7.60684 q^{92} +(8.58648 - 2.30074i) q^{93} +10.5484i q^{94} +(-2.10650 + 1.21619i) q^{95} +(0.965926 + 0.258819i) q^{96} +(-3.35421 - 12.5181i) q^{97} +(6.65666 - 2.16539i) q^{98} +(1.42008 - 1.42008i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 1.00000i 0.577350i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 3.44884 + 0.924115i 1.54237 + 0.413277i 0.927030 0.374986i \(-0.122353\pi\)
0.615339 + 0.788263i \(0.289019\pi\)
\(6\) 0.258819 + 0.965926i 0.105662 + 0.394338i
\(7\) 2.64483 0.0697092i 0.999653 0.0263476i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.00000 −0.333333
\(10\) 3.57050 1.12909
\(11\) −1.42008 + 1.42008i −0.428169 + 0.428169i −0.888004 0.459835i \(-0.847908\pi\)
0.459835 + 0.888004i \(0.347908\pi\)
\(12\) 0.500000 + 0.866025i 0.144338 + 0.250000i
\(13\) −3.59128 0.320427i −0.996043 0.0888704i
\(14\) 2.53667 0.751867i 0.677954 0.200945i
\(15\) −0.924115 + 3.44884i −0.238605 + 0.890487i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −2.36459 4.09559i −0.573497 0.993327i −0.996203 0.0870597i \(-0.972253\pi\)
0.422706 0.906267i \(-0.361080\pi\)
\(18\) −0.965926 + 0.258819i −0.227671 + 0.0610042i
\(19\) −0.481710 + 0.481710i −0.110512 + 0.110512i −0.760200 0.649689i \(-0.774899\pi\)
0.649689 + 0.760200i \(0.274899\pi\)
\(20\) 3.44884 0.924115i 0.771185 0.206638i
\(21\) 0.0697092 + 2.64483i 0.0152118 + 0.577150i
\(22\) −1.00415 + 1.73923i −0.214085 + 0.370805i
\(23\) −6.58772 3.80342i −1.37363 0.793068i −0.382250 0.924059i \(-0.624851\pi\)
−0.991384 + 0.130991i \(0.958184\pi\)
\(24\) 0.707107 + 0.707107i 0.144338 + 0.144338i
\(25\) 6.71040 + 3.87425i 1.34208 + 0.774850i
\(26\) −3.55185 + 0.619984i −0.696575 + 0.121589i
\(27\) 1.00000i 0.192450i
\(28\) 2.25564 1.38279i 0.426275 0.261322i
\(29\) 3.67396 + 6.36349i 0.682238 + 1.18167i 0.974296 + 0.225270i \(0.0723264\pi\)
−0.292059 + 0.956400i \(0.594340\pi\)
\(30\) 3.57050i 0.651882i
\(31\) −2.30074 8.58648i −0.413225 1.54218i −0.788364 0.615209i \(-0.789072\pi\)
0.375139 0.926969i \(-0.377595\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −1.42008 1.42008i −0.247204 0.247204i
\(34\) −3.34404 3.34404i −0.573497 0.573497i
\(35\) 9.18603 + 2.20371i 1.55272 + 0.372495i
\(36\) −0.866025 + 0.500000i −0.144338 + 0.0833333i
\(37\) 2.36967 + 8.84374i 0.389572 + 1.45390i 0.830832 + 0.556523i \(0.187865\pi\)
−0.441260 + 0.897379i \(0.645468\pi\)
\(38\) −0.340620 + 0.589971i −0.0552559 + 0.0957060i
\(39\) 0.320427 3.59128i 0.0513094 0.575066i
\(40\) 3.09215 1.78525i 0.488911 0.282273i
\(41\) 0.562251 + 0.150655i 0.0878088 + 0.0235283i 0.302456 0.953163i \(-0.402193\pi\)
−0.214647 + 0.976692i \(0.568860\pi\)
\(42\) 0.751867 + 2.53667i 0.116016 + 0.391417i
\(43\) −1.13065 0.652784i −0.172423 0.0995486i 0.411305 0.911498i \(-0.365073\pi\)
−0.583728 + 0.811949i \(0.698407\pi\)
\(44\) −0.519784 + 1.93986i −0.0783604 + 0.292445i
\(45\) −3.44884 0.924115i −0.514123 0.137759i
\(46\) −7.34764 1.96880i −1.08335 0.290283i
\(47\) −2.73012 + 10.1889i −0.398229 + 1.48621i 0.417982 + 0.908455i \(0.362738\pi\)
−0.816211 + 0.577754i \(0.803929\pi\)
\(48\) 0.866025 + 0.500000i 0.125000 + 0.0721688i
\(49\) 6.99028 0.368739i 0.998612 0.0526769i
\(50\) 7.48448 + 2.00546i 1.05847 + 0.283615i
\(51\) 4.09559 2.36459i 0.573497 0.331109i
\(52\) −3.27036 + 1.51814i −0.453517 + 0.210529i
\(53\) 6.72250 11.6437i 0.923407 1.59939i 0.129303 0.991605i \(-0.458726\pi\)
0.794104 0.607782i \(-0.207941\pi\)
\(54\) −0.258819 0.965926i −0.0352208 0.131446i
\(55\) −6.20993 + 3.58531i −0.837347 + 0.483443i
\(56\) 1.82089 1.91947i 0.243326 0.256500i
\(57\) −0.481710 0.481710i −0.0638040 0.0638040i
\(58\) 5.19577 + 5.19577i 0.682238 + 0.682238i
\(59\) −2.23058 + 8.32464i −0.290397 + 1.08378i 0.654408 + 0.756142i \(0.272918\pi\)
−0.944805 + 0.327634i \(0.893749\pi\)
\(60\) 0.924115 + 3.44884i 0.119303 + 0.445244i
\(61\) 9.88401i 1.26552i −0.774349 0.632759i \(-0.781922\pi\)
0.774349 0.632759i \(-0.218078\pi\)
\(62\) −4.44469 7.69843i −0.564476 0.977701i
\(63\) −2.64483 + 0.0697092i −0.333218 + 0.00878254i
\(64\) 1.00000i 0.125000i
\(65\) −12.0897 4.42386i −1.49954 0.548712i
\(66\) −1.73923 1.00415i −0.214085 0.123602i
\(67\) −4.57802 4.57802i −0.559294 0.559294i 0.369812 0.929106i \(-0.379422\pi\)
−0.929106 + 0.369812i \(0.879422\pi\)
\(68\) −4.09559 2.36459i −0.496663 0.286749i
\(69\) 3.80342 6.58772i 0.457878 0.793068i
\(70\) 9.44339 0.248897i 1.12870 0.0297489i
\(71\) 5.57676 1.49429i 0.661840 0.177339i 0.0877636 0.996141i \(-0.472028\pi\)
0.574076 + 0.818802i \(0.305361\pi\)
\(72\) −0.707107 + 0.707107i −0.0833333 + 0.0833333i
\(73\) 3.55378 0.952233i 0.415939 0.111450i −0.0447796 0.998997i \(-0.514259\pi\)
0.460718 + 0.887546i \(0.347592\pi\)
\(74\) 4.57786 + 7.92908i 0.532165 + 0.921737i
\(75\) −3.87425 + 6.71040i −0.447360 + 0.774850i
\(76\) −0.176318 + 0.658028i −0.0202251 + 0.0754809i
\(77\) −3.65687 + 3.85486i −0.416739 + 0.439302i
\(78\) −0.619984 3.55185i −0.0701994 0.402168i
\(79\) −2.44183 4.22937i −0.274727 0.475841i 0.695339 0.718682i \(-0.255254\pi\)
−0.970066 + 0.242841i \(0.921921\pi\)
\(80\) 2.52473 2.52473i 0.282273 0.282273i
\(81\) 1.00000 0.111111
\(82\) 0.582085 0.0642805
\(83\) −7.56743 + 7.56743i −0.830633 + 0.830633i −0.987603 0.156970i \(-0.949827\pi\)
0.156970 + 0.987603i \(0.449827\pi\)
\(84\) 1.38279 + 2.25564i 0.150874 + 0.246110i
\(85\) −4.37031 16.3102i −0.474026 1.76909i
\(86\) −1.26108 0.337906i −0.135986 0.0364373i
\(87\) −6.36349 + 3.67396i −0.682238 + 0.393890i
\(88\) 2.00829i 0.214085i
\(89\) −14.5686 + 3.90366i −1.54427 + 0.413787i −0.927644 0.373466i \(-0.878169\pi\)
−0.616630 + 0.787253i \(0.711502\pi\)
\(90\) −3.57050 −0.376364
\(91\) −9.52068 0.597130i −0.998039 0.0625962i
\(92\) −7.60684 −0.793068
\(93\) 8.58648 2.30074i 0.890376 0.238576i
\(94\) 10.5484i 1.08798i
\(95\) −2.10650 + 1.21619i −0.216122 + 0.124778i
\(96\) 0.965926 + 0.258819i 0.0985844 + 0.0264156i
\(97\) −3.35421 12.5181i −0.340568 1.27102i −0.897705 0.440596i \(-0.854767\pi\)
0.557137 0.830420i \(-0.311900\pi\)
\(98\) 6.65666 2.16539i 0.672424 0.218738i
\(99\) 1.42008 1.42008i 0.142723 0.142723i
\(100\) 7.74850 0.774850
\(101\) 7.37701 0.734040 0.367020 0.930213i \(-0.380378\pi\)
0.367020 + 0.930213i \(0.380378\pi\)
\(102\) 3.34404 3.34404i 0.331109 0.331109i
\(103\) −3.02355 5.23694i −0.297919 0.516011i 0.677741 0.735301i \(-0.262959\pi\)
−0.975660 + 0.219290i \(0.929626\pi\)
\(104\) −2.76600 + 2.31285i −0.271228 + 0.226793i
\(105\) −2.20371 + 9.18603i −0.215060 + 0.896465i
\(106\) 3.47982 12.9869i 0.337990 1.26140i
\(107\) −8.79615 + 15.2354i −0.850355 + 1.47286i 0.0305323 + 0.999534i \(0.490280\pi\)
−0.880888 + 0.473325i \(0.843054\pi\)
\(108\) −0.500000 0.866025i −0.0481125 0.0833333i
\(109\) 6.01053 1.61052i 0.575704 0.154259i 0.0407927 0.999168i \(-0.487012\pi\)
0.534911 + 0.844908i \(0.320345\pi\)
\(110\) −5.07039 + 5.07039i −0.483443 + 0.483443i
\(111\) −8.84374 + 2.36967i −0.839411 + 0.224919i
\(112\) 1.26205 2.32535i 0.119252 0.219725i
\(113\) −0.501450 + 0.868536i −0.0471724 + 0.0817050i −0.888648 0.458591i \(-0.848354\pi\)
0.841475 + 0.540296i \(0.181688\pi\)
\(114\) −0.589971 0.340620i −0.0552559 0.0319020i
\(115\) −19.2052 19.2052i −1.79089 1.79089i
\(116\) 6.36349 + 3.67396i 0.590835 + 0.341119i
\(117\) 3.59128 + 0.320427i 0.332014 + 0.0296235i
\(118\) 8.61830i 0.793379i
\(119\) −6.53945 10.6673i −0.599470 0.977872i
\(120\) 1.78525 + 3.09215i 0.162970 + 0.282273i
\(121\) 6.96677i 0.633343i
\(122\) −2.55817 9.54722i −0.231606 0.864365i
\(123\) −0.150655 + 0.562251i −0.0135841 + 0.0506965i
\(124\) −6.28574 6.28574i −0.564476 0.564476i
\(125\) 6.93923 + 6.93923i 0.620663 + 0.620663i
\(126\) −2.53667 + 0.751867i −0.225985 + 0.0669816i
\(127\) 11.5508 6.66888i 1.02497 0.591767i 0.109431 0.993994i \(-0.465097\pi\)
0.915540 + 0.402227i \(0.131764\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 0.652784 1.13065i 0.0574744 0.0995486i
\(130\) −12.8227 1.14409i −1.12463 0.100343i
\(131\) −4.01029 + 2.31534i −0.350381 + 0.202292i −0.664853 0.746974i \(-0.731506\pi\)
0.314472 + 0.949267i \(0.398172\pi\)
\(132\) −1.93986 0.519784i −0.168843 0.0452414i
\(133\) −1.24046 + 1.30762i −0.107562 + 0.113385i
\(134\) −5.60691 3.23715i −0.484363 0.279647i
\(135\) 0.924115 3.44884i 0.0795351 0.296829i
\(136\) −4.56804 1.22400i −0.391706 0.104957i
\(137\) 14.8466 + 3.97813i 1.26843 + 0.339874i 0.829429 0.558613i \(-0.188666\pi\)
0.439000 + 0.898487i \(0.355333\pi\)
\(138\) 1.96880 7.34764i 0.167595 0.625473i
\(139\) 0.793081 + 0.457886i 0.0672683 + 0.0388373i 0.533257 0.845953i \(-0.320968\pi\)
−0.465989 + 0.884791i \(0.654301\pi\)
\(140\) 9.05719 2.68454i 0.765473 0.226885i
\(141\) −10.1889 2.73012i −0.858064 0.229917i
\(142\) 4.99999 2.88674i 0.419590 0.242250i
\(143\) 5.55493 4.64487i 0.464526 0.388423i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 6.79032 + 25.3418i 0.563906 + 2.10452i
\(146\) 3.18623 1.83957i 0.263694 0.152244i
\(147\) 0.368739 + 6.99028i 0.0304130 + 0.576549i
\(148\) 6.47407 + 6.47407i 0.532165 + 0.532165i
\(149\) 4.12959 + 4.12959i 0.338309 + 0.338309i 0.855731 0.517422i \(-0.173108\pi\)
−0.517422 + 0.855731i \(0.673108\pi\)
\(150\) −2.00546 + 7.48448i −0.163745 + 0.611105i
\(151\) 1.76213 + 6.57635i 0.143400 + 0.535176i 0.999821 + 0.0188984i \(0.00601589\pi\)
−0.856422 + 0.516277i \(0.827317\pi\)
\(152\) 0.681240i 0.0552559i
\(153\) 2.36459 + 4.09559i 0.191166 + 0.331109i
\(154\) −2.53456 + 4.66997i −0.204240 + 0.376317i
\(155\) 31.7396i 2.54938i
\(156\) −1.51814 3.27036i −0.121549 0.261838i
\(157\) 3.30600 + 1.90872i 0.263847 + 0.152332i 0.626088 0.779752i \(-0.284655\pi\)
−0.362241 + 0.932084i \(0.617988\pi\)
\(158\) −3.45326 3.45326i −0.274727 0.274727i
\(159\) 11.6437 + 6.72250i 0.923407 + 0.533129i
\(160\) 1.78525 3.09215i 0.141137 0.244456i
\(161\) −17.6885 9.60019i −1.39405 0.756601i
\(162\) 0.965926 0.258819i 0.0758903 0.0203347i
\(163\) 7.33467 7.33467i 0.574496 0.574496i −0.358886 0.933382i \(-0.616843\pi\)
0.933382 + 0.358886i \(0.116843\pi\)
\(164\) 0.562251 0.150655i 0.0439044 0.0117642i
\(165\) −3.58531 6.20993i −0.279116 0.483443i
\(166\) −5.35098 + 9.26817i −0.415317 + 0.719350i
\(167\) −2.48401 + 9.27047i −0.192219 + 0.717370i 0.800751 + 0.598998i \(0.204434\pi\)
−0.992969 + 0.118372i \(0.962232\pi\)
\(168\) 1.91947 + 1.82089i 0.148090 + 0.140485i
\(169\) 12.7947 + 2.30149i 0.984204 + 0.177038i
\(170\) −8.44278 14.6233i −0.647532 1.12156i
\(171\) 0.481710 0.481710i 0.0368373 0.0368373i
\(172\) −1.30557 −0.0995486
\(173\) 7.31771 0.556355 0.278178 0.960530i \(-0.410270\pi\)
0.278178 + 0.960530i \(0.410270\pi\)
\(174\) −5.19577 + 5.19577i −0.393890 + 0.393890i
\(175\) 18.0180 + 9.77897i 1.36203 + 0.739221i
\(176\) 0.519784 + 1.93986i 0.0391802 + 0.146222i
\(177\) −8.32464 2.23058i −0.625718 0.167661i
\(178\) −13.0619 + 7.54129i −0.979030 + 0.565243i
\(179\) 14.8468i 1.10970i 0.831950 + 0.554851i \(0.187225\pi\)
−0.831950 + 0.554851i \(0.812775\pi\)
\(180\) −3.44884 + 0.924115i −0.257062 + 0.0688794i
\(181\) −13.6529 −1.01481 −0.507406 0.861707i \(-0.669396\pi\)
−0.507406 + 0.861707i \(0.669396\pi\)
\(182\) −9.35082 + 1.88735i −0.693129 + 0.139900i
\(183\) 9.88401 0.730647
\(184\) −7.34764 + 1.96880i −0.541675 + 0.145141i
\(185\) 32.6905i 2.40346i
\(186\) 7.69843 4.44469i 0.564476 0.325900i
\(187\) 9.17395 + 2.45815i 0.670866 + 0.179758i
\(188\) 2.73012 + 10.1889i 0.199114 + 0.743105i
\(189\) −0.0697092 2.64483i −0.00507060 0.192383i
\(190\) −1.71995 + 1.71995i −0.124778 + 0.124778i
\(191\) −8.46354 −0.612400 −0.306200 0.951967i \(-0.599058\pi\)
−0.306200 + 0.951967i \(0.599058\pi\)
\(192\) 1.00000 0.0721688
\(193\) 10.7557 10.7557i 0.774212 0.774212i −0.204628 0.978840i \(-0.565599\pi\)
0.978840 + 0.204628i \(0.0655985\pi\)
\(194\) −6.47983 11.2234i −0.465224 0.805792i
\(195\) 4.42386 12.0897i 0.316799 0.865759i
\(196\) 5.86939 3.81448i 0.419242 0.272463i
\(197\) 1.17024 4.36739i 0.0833760 0.311164i −0.911626 0.411021i \(-0.865172\pi\)
0.995002 + 0.0998578i \(0.0318388\pi\)
\(198\) 1.00415 1.73923i 0.0713615 0.123602i
\(199\) −5.31680 9.20897i −0.376898 0.652807i 0.613711 0.789531i \(-0.289676\pi\)
−0.990609 + 0.136724i \(0.956343\pi\)
\(200\) 7.48448 2.00546i 0.529233 0.141807i
\(201\) 4.57802 4.57802i 0.322909 0.322909i
\(202\) 7.12565 1.90931i 0.501359 0.134339i
\(203\) 10.1606 + 16.5743i 0.713135 + 1.16328i
\(204\) 2.36459 4.09559i 0.165554 0.286749i
\(205\) 1.79989 + 1.03917i 0.125710 + 0.0725787i
\(206\) −4.27594 4.27594i −0.297919 0.297919i
\(207\) 6.58772 + 3.80342i 0.457878 + 0.264356i
\(208\) −2.07314 + 2.94993i −0.143746 + 0.204541i
\(209\) 1.36813i 0.0946354i
\(210\) 0.248897 + 9.44339i 0.0171755 + 0.651656i
\(211\) 1.20660 + 2.08990i 0.0830660 + 0.143875i 0.904565 0.426335i \(-0.140195\pi\)
−0.821499 + 0.570209i \(0.806862\pi\)
\(212\) 13.4450i 0.923407i
\(213\) 1.49429 + 5.57676i 0.102387 + 0.382113i
\(214\) −4.55322 + 16.9928i −0.311252 + 1.16161i
\(215\) −3.29620 3.29620i −0.224799 0.224799i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) −6.68363 22.5494i −0.453714 1.53075i
\(218\) 5.38889 3.11128i 0.364982 0.210722i
\(219\) 0.952233 + 3.55378i 0.0643459 + 0.240142i
\(220\) −3.58531 + 6.20993i −0.241721 + 0.418674i
\(221\) 7.17958 + 15.4661i 0.482951 + 1.04036i
\(222\) −7.92908 + 4.57786i −0.532165 + 0.307246i
\(223\) −16.8903 4.52574i −1.13106 0.303066i −0.355708 0.934597i \(-0.615760\pi\)
−0.775351 + 0.631531i \(0.782427\pi\)
\(224\) 0.617199 2.57275i 0.0412384 0.171899i
\(225\) −6.71040 3.87425i −0.447360 0.258283i
\(226\) −0.259569 + 0.968726i −0.0172663 + 0.0644387i
\(227\) 3.73825 + 1.00166i 0.248116 + 0.0664825i 0.380734 0.924685i \(-0.375671\pi\)
−0.132617 + 0.991167i \(0.542338\pi\)
\(228\) −0.658028 0.176318i −0.0435789 0.0116769i
\(229\) −2.08835 + 7.79383i −0.138002 + 0.515031i 0.861965 + 0.506967i \(0.169233\pi\)
−0.999967 + 0.00806376i \(0.997433\pi\)
\(230\) −23.5215 13.5801i −1.55096 0.895447i
\(231\) −3.85486 3.65687i −0.253631 0.240604i
\(232\) 7.09755 + 1.90178i 0.465977 + 0.124858i
\(233\) −5.89295 + 3.40230i −0.386060 + 0.222892i −0.680452 0.732793i \(-0.738216\pi\)
0.294392 + 0.955685i \(0.404883\pi\)
\(234\) 3.55185 0.619984i 0.232192 0.0405296i
\(235\) −18.8315 + 32.6171i −1.22843 + 2.12771i
\(236\) 2.23058 + 8.32464i 0.145198 + 0.541888i
\(237\) 4.22937 2.44183i 0.274727 0.158614i
\(238\) −9.07753 8.61131i −0.588409 0.558188i
\(239\) −0.128257 0.128257i −0.00829628 0.00829628i 0.702946 0.711243i \(-0.251867\pi\)
−0.711243 + 0.702946i \(0.751867\pi\)
\(240\) 2.52473 + 2.52473i 0.162970 + 0.162970i
\(241\) 0.730584 2.72658i 0.0470610 0.175634i −0.938395 0.345564i \(-0.887688\pi\)
0.985456 + 0.169930i \(0.0543542\pi\)
\(242\) 1.80313 + 6.72938i 0.115910 + 0.432581i
\(243\) 1.00000i 0.0641500i
\(244\) −4.94201 8.55981i −0.316380 0.547985i
\(245\) 24.4491 + 5.18810i 1.56200 + 0.331456i
\(246\) 0.582085i 0.0371124i
\(247\) 1.88431 1.57560i 0.119896 0.100253i
\(248\) −7.69843 4.44469i −0.488851 0.282238i
\(249\) −7.56743 7.56743i −0.479566 0.479566i
\(250\) 8.49878 + 4.90677i 0.537510 + 0.310332i
\(251\) 14.5539 25.2081i 0.918635 1.59112i 0.117146 0.993115i \(-0.462626\pi\)
0.801490 0.598009i \(-0.204041\pi\)
\(252\) −2.25564 + 1.38279i −0.142092 + 0.0871074i
\(253\) 14.7562 3.95391i 0.927715 0.248580i
\(254\) 9.43122 9.43122i 0.591767 0.591767i
\(255\) 16.3102 4.37031i 1.02138 0.273679i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 3.13825 5.43562i 0.195759 0.339064i −0.751390 0.659858i \(-0.770616\pi\)
0.947149 + 0.320794i \(0.103950\pi\)
\(258\) 0.337906 1.26108i 0.0210371 0.0785115i
\(259\) 6.88388 + 23.2250i 0.427744 + 1.44313i
\(260\) −12.6819 + 2.21366i −0.786497 + 0.137285i
\(261\) −3.67396 6.36349i −0.227413 0.393890i
\(262\) −3.27439 + 3.27439i −0.202292 + 0.202292i
\(263\) −20.8881 −1.28801 −0.644006 0.765020i \(-0.722729\pi\)
−0.644006 + 0.765020i \(0.722729\pi\)
\(264\) −2.00829 −0.123602
\(265\) 33.9450 33.9450i 2.08522 2.08522i
\(266\) −0.859757 + 1.58412i −0.0527151 + 0.0971286i
\(267\) −3.90366 14.5686i −0.238900 0.891587i
\(268\) −6.25369 1.67567i −0.382005 0.102358i
\(269\) −5.95026 + 3.43538i −0.362794 + 0.209459i −0.670306 0.742085i \(-0.733837\pi\)
0.307512 + 0.951544i \(0.400504\pi\)
\(270\) 3.57050i 0.217294i
\(271\) 14.4298 3.86644i 0.876545 0.234870i 0.207629 0.978208i \(-0.433425\pi\)
0.668916 + 0.743338i \(0.266759\pi\)
\(272\) −4.72918 −0.286749
\(273\) 0.597130 9.52068i 0.0361399 0.576218i
\(274\) 15.3703 0.928554
\(275\) −15.0310 + 4.02755i −0.906404 + 0.242870i
\(276\) 7.60684i 0.457878i
\(277\) 3.63782 2.10030i 0.218575 0.126195i −0.386715 0.922199i \(-0.626390\pi\)
0.605290 + 0.796005i \(0.293057\pi\)
\(278\) 0.884567 + 0.237019i 0.0530528 + 0.0142155i
\(279\) 2.30074 + 8.58648i 0.137742 + 0.514059i
\(280\) 8.05377 4.93725i 0.481305 0.295057i
\(281\) −1.82411 + 1.82411i −0.108817 + 0.108817i −0.759419 0.650602i \(-0.774517\pi\)
0.650602 + 0.759419i \(0.274517\pi\)
\(282\) −10.5484 −0.628146
\(283\) 2.90458 0.172659 0.0863297 0.996267i \(-0.472486\pi\)
0.0863297 + 0.996267i \(0.472486\pi\)
\(284\) 4.08247 4.08247i 0.242250 0.242250i
\(285\) −1.21619 2.10650i −0.0720406 0.124778i
\(286\) 4.16347 5.92432i 0.246191 0.350312i
\(287\) 1.49756 + 0.359262i 0.0883983 + 0.0212066i
\(288\) −0.258819 + 0.965926i −0.0152511 + 0.0569177i
\(289\) −2.68258 + 4.64636i −0.157799 + 0.273315i
\(290\) 13.1179 + 22.7209i 0.770310 + 1.33422i
\(291\) 12.5181 3.35421i 0.733822 0.196627i
\(292\) 2.60155 2.60155i 0.152244 0.152244i
\(293\) 17.4100 4.66500i 1.01710 0.272532i 0.288509 0.957477i \(-0.406840\pi\)
0.728595 + 0.684945i \(0.240174\pi\)
\(294\) 2.16539 + 6.65666i 0.126288 + 0.388224i
\(295\) −15.3858 + 26.6491i −0.895798 + 1.55157i
\(296\) 7.92908 + 4.57786i 0.460869 + 0.266083i
\(297\) 1.42008 + 1.42008i 0.0824012 + 0.0824012i
\(298\) 5.05769 + 2.92006i 0.292984 + 0.169154i
\(299\) 22.4396 + 15.7700i 1.29772 + 0.912005i
\(300\) 7.74850i 0.447360i
\(301\) −3.03590 1.64769i −0.174986 0.0949711i
\(302\) 3.40417 + 5.89619i 0.195888 + 0.339288i
\(303\) 7.37701i 0.423798i
\(304\) 0.176318 + 0.658028i 0.0101125 + 0.0377405i
\(305\) 9.13396 34.0884i 0.523009 1.95190i
\(306\) 3.34404 + 3.34404i 0.191166 + 0.191166i
\(307\) −9.79084 9.79084i −0.558793 0.558793i 0.370171 0.928964i \(-0.379299\pi\)
−0.928964 + 0.370171i \(0.879299\pi\)
\(308\) −1.23952 + 5.16684i −0.0706279 + 0.294408i
\(309\) 5.23694 3.02355i 0.297919 0.172004i
\(310\) −8.21480 30.6581i −0.466570 1.74126i
\(311\) 2.83488 4.91016i 0.160751 0.278429i −0.774387 0.632712i \(-0.781942\pi\)
0.935138 + 0.354283i \(0.115275\pi\)
\(312\) −2.31285 2.76600i −0.130939 0.156594i
\(313\) −17.9116 + 10.3413i −1.01242 + 0.584523i −0.911900 0.410412i \(-0.865385\pi\)
−0.100523 + 0.994935i \(0.532052\pi\)
\(314\) 3.68736 + 0.988025i 0.208090 + 0.0557575i
\(315\) −9.18603 2.20371i −0.517574 0.124165i
\(316\) −4.22937 2.44183i −0.237920 0.137363i
\(317\) −6.25843 + 23.3568i −0.351508 + 1.31185i 0.533314 + 0.845918i \(0.320947\pi\)
−0.884822 + 0.465929i \(0.845720\pi\)
\(318\) 12.9869 + 3.47982i 0.728268 + 0.195139i
\(319\) −14.2539 3.81933i −0.798068 0.213842i
\(320\) 0.924115 3.44884i 0.0516596 0.192796i
\(321\) −15.2354 8.79615i −0.850355 0.490953i
\(322\) −19.5705 4.69494i −1.09062 0.261639i
\(323\) 3.11193 + 0.833840i 0.173153 + 0.0463961i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) −22.8575 16.0637i −1.26791 0.891056i
\(326\) 5.18640 8.98310i 0.287248 0.497528i
\(327\) 1.61052 + 6.01053i 0.0890617 + 0.332383i
\(328\) 0.504100 0.291042i 0.0278343 0.0160701i
\(329\) −6.51044 + 27.1384i −0.358932 + 1.49619i
\(330\) −5.07039 5.07039i −0.279116 0.279116i
\(331\) 25.4365 + 25.4365i 1.39812 + 1.39812i 0.805443 + 0.592673i \(0.201927\pi\)
0.592673 + 0.805443i \(0.298073\pi\)
\(332\) −2.76987 + 10.3373i −0.152016 + 0.567333i
\(333\) −2.36967 8.84374i −0.129857 0.484634i
\(334\) 9.59749i 0.525151i
\(335\) −11.5583 20.0195i −0.631495 1.09378i
\(336\) 2.32535 + 1.26205i 0.126858 + 0.0688503i
\(337\) 15.1796i 0.826884i 0.910530 + 0.413442i \(0.135674\pi\)
−0.910530 + 0.413442i \(0.864326\pi\)
\(338\) 12.9544 1.08843i 0.704624 0.0592029i
\(339\) −0.868536 0.501450i −0.0471724 0.0272350i
\(340\) −11.9399 11.9399i −0.647532 0.647532i
\(341\) 15.4607 + 8.92623i 0.837243 + 0.483382i
\(342\) 0.340620 0.589971i 0.0184186 0.0319020i
\(343\) 18.4624 1.46254i 0.996877 0.0789697i
\(344\) −1.26108 + 0.337906i −0.0679929 + 0.0182187i
\(345\) 19.2052 19.2052i 1.03397 1.03397i
\(346\) 7.06836 1.89396i 0.379998 0.101820i
\(347\) −11.4565 19.8433i −0.615018 1.06524i −0.990381 0.138365i \(-0.955815\pi\)
0.375363 0.926878i \(-0.377518\pi\)
\(348\) −3.67396 + 6.36349i −0.196945 + 0.341119i
\(349\) −7.11942 + 26.5700i −0.381094 + 1.42226i 0.463140 + 0.886285i \(0.346723\pi\)
−0.844233 + 0.535976i \(0.819944\pi\)
\(350\) 19.9350 + 4.78237i 1.06557 + 0.255628i
\(351\) −0.320427 + 3.59128i −0.0171031 + 0.191689i
\(352\) 1.00415 + 1.73923i 0.0535211 + 0.0927013i
\(353\) 5.69661 5.69661i 0.303200 0.303200i −0.539065 0.842264i \(-0.681222\pi\)
0.842264 + 0.539065i \(0.181222\pi\)
\(354\) −8.61830 −0.458058
\(355\) 20.6143 1.09409
\(356\) −10.6650 + 10.6650i −0.565243 + 0.565243i
\(357\) 10.6673 6.53945i 0.564574 0.346104i
\(358\) 3.84264 + 14.3409i 0.203090 + 0.757941i
\(359\) 31.7571 + 8.50928i 1.67607 + 0.449103i 0.966738 0.255767i \(-0.0823281\pi\)
0.709336 + 0.704870i \(0.248995\pi\)
\(360\) −3.09215 + 1.78525i −0.162970 + 0.0940911i
\(361\) 18.5359i 0.975574i
\(362\) −13.1877 + 3.53363i −0.693129 + 0.185723i
\(363\) −6.96677 −0.365660
\(364\) −8.54372 + 4.24321i −0.447813 + 0.222405i
\(365\) 13.1364 0.687591
\(366\) 9.54722 2.55817i 0.499041 0.133718i
\(367\) 8.28538i 0.432493i −0.976339 0.216247i \(-0.930618\pi\)
0.976339 0.216247i \(-0.0693815\pi\)
\(368\) −6.58772 + 3.80342i −0.343408 + 0.198267i
\(369\) −0.562251 0.150655i −0.0292696 0.00784277i
\(370\) 8.46093 + 31.5766i 0.439863 + 1.64159i
\(371\) 16.9682 31.2643i 0.880946 1.62316i
\(372\) 6.28574 6.28574i 0.325900 0.325900i
\(373\) 5.01111 0.259465 0.129733 0.991549i \(-0.458588\pi\)
0.129733 + 0.991549i \(0.458588\pi\)
\(374\) 9.49757 0.491108
\(375\) −6.93923 + 6.93923i −0.358340 + 0.358340i
\(376\) 5.27418 + 9.13515i 0.271995 + 0.471110i
\(377\) −11.1552 24.0303i −0.574523 1.23763i
\(378\) −0.751867 2.53667i −0.0386719 0.130472i
\(379\) −0.184534 + 0.688691i −0.00947888 + 0.0353757i −0.970503 0.241088i \(-0.922496\pi\)
0.961024 + 0.276463i \(0.0891625\pi\)
\(380\) −1.21619 + 2.10650i −0.0623890 + 0.108061i
\(381\) 6.66888 + 11.5508i 0.341657 + 0.591767i
\(382\) −8.17515 + 2.19053i −0.418277 + 0.112077i
\(383\) −8.10172 + 8.10172i −0.413979 + 0.413979i −0.883122 0.469143i \(-0.844563\pi\)
0.469143 + 0.883122i \(0.344563\pi\)
\(384\) 0.965926 0.258819i 0.0492922 0.0132078i
\(385\) −16.1743 + 9.91542i −0.824319 + 0.505337i
\(386\) 7.60542 13.1730i 0.387106 0.670487i
\(387\) 1.13065 + 0.652784i 0.0574744 + 0.0331829i
\(388\) −9.16386 9.16386i −0.465224 0.465224i
\(389\) 2.69423 + 1.55552i 0.136603 + 0.0788677i 0.566744 0.823894i \(-0.308203\pi\)
−0.430141 + 0.902762i \(0.641536\pi\)
\(390\) 1.14409 12.8227i 0.0579330 0.649303i
\(391\) 35.9741i 1.81929i
\(392\) 4.68214 5.20361i 0.236484 0.262822i
\(393\) −2.31534 4.01029i −0.116794 0.202292i
\(394\) 4.52145i 0.227788i
\(395\) −4.51305 16.8429i −0.227076 0.847461i
\(396\) 0.519784 1.93986i 0.0261201 0.0974816i
\(397\) 20.5646 + 20.5646i 1.03211 + 1.03211i 0.999467 + 0.0326417i \(0.0103920\pi\)
0.0326417 + 0.999467i \(0.489608\pi\)
\(398\) −7.51909 7.51909i −0.376898 0.376898i
\(399\) −1.30762 1.24046i −0.0654629 0.0621008i
\(400\) 6.71040 3.87425i 0.335520 0.193713i
\(401\) 0.978961 + 3.65353i 0.0488870 + 0.182449i 0.986052 0.166438i \(-0.0532265\pi\)
−0.937165 + 0.348887i \(0.886560\pi\)
\(402\) 3.23715 5.60691i 0.161454 0.279647i
\(403\) 5.51127 + 31.5737i 0.274536 + 1.57280i
\(404\) 6.38868 3.68851i 0.317849 0.183510i
\(405\) 3.44884 + 0.924115i 0.171374 + 0.0459196i
\(406\) 14.1041 + 13.3797i 0.699976 + 0.664025i
\(407\) −15.9239 9.19367i −0.789319 0.455713i
\(408\) 1.22400 4.56804i 0.0605971 0.226152i
\(409\) 15.4891 + 4.15029i 0.765886 + 0.205219i 0.620553 0.784164i \(-0.286908\pi\)
0.145333 + 0.989383i \(0.453575\pi\)
\(410\) 2.00752 + 0.537913i 0.0991443 + 0.0265656i
\(411\) −3.97813 + 14.8466i −0.196227 + 0.732328i
\(412\) −5.23694 3.02355i −0.258005 0.148959i
\(413\) −5.31921 + 22.1728i −0.261741 + 1.09105i
\(414\) 7.34764 + 1.96880i 0.361117 + 0.0967610i
\(415\) −33.0921 + 19.1057i −1.62443 + 0.937862i
\(416\) −1.23900 + 3.38598i −0.0607470 + 0.166011i
\(417\) −0.457886 + 0.793081i −0.0224228 + 0.0388373i
\(418\) −0.354098 1.32151i −0.0173195 0.0646372i
\(419\) 8.04758 4.64627i 0.393150 0.226985i −0.290374 0.956913i \(-0.593780\pi\)
0.683524 + 0.729928i \(0.260446\pi\)
\(420\) 2.68454 + 9.05719i 0.130992 + 0.441946i
\(421\) −20.4315 20.4315i −0.995770 0.995770i 0.00422101 0.999991i \(-0.498656\pi\)
−0.999991 + 0.00422101i \(0.998656\pi\)
\(422\) 1.70640 + 1.70640i 0.0830660 + 0.0830660i
\(423\) 2.73012 10.1889i 0.132743 0.495403i
\(424\) −3.47982 12.9869i −0.168995 0.630699i
\(425\) 36.6441i 1.77750i
\(426\) 2.88674 + 4.99999i 0.139863 + 0.242250i
\(427\) −0.689007 26.1416i −0.0333434 1.26508i
\(428\) 17.5923i 0.850355i
\(429\) 4.64487 + 5.55493i 0.224256 + 0.268194i
\(430\) −4.03701 2.33077i −0.194682 0.112400i
\(431\) 7.07819 + 7.07819i 0.340945 + 0.340945i 0.856722 0.515778i \(-0.172497\pi\)
−0.515778 + 0.856722i \(0.672497\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 1.57846 2.73398i 0.0758560 0.131387i −0.825602 0.564253i \(-0.809164\pi\)
0.901458 + 0.432866i \(0.142498\pi\)
\(434\) −12.2921 20.0512i −0.590040 0.962489i
\(435\) −25.3418 + 6.79032i −1.21505 + 0.325571i
\(436\) 4.40001 4.40001i 0.210722 0.210722i
\(437\) 5.00551 1.34122i 0.239446 0.0641594i
\(438\) 1.83957 + 3.18623i 0.0878982 + 0.152244i
\(439\) −11.3303 + 19.6246i −0.540765 + 0.936633i 0.458095 + 0.888903i \(0.348532\pi\)
−0.998860 + 0.0477298i \(0.984801\pi\)
\(440\) −1.85589 + 6.92628i −0.0884761 + 0.330197i
\(441\) −6.99028 + 0.368739i −0.332871 + 0.0175590i
\(442\) 10.9379 + 13.0809i 0.520261 + 0.622195i
\(443\) −11.4856 19.8936i −0.545696 0.945174i −0.998563 0.0535952i \(-0.982932\pi\)
0.452867 0.891578i \(-0.350401\pi\)
\(444\) −6.47407 + 6.47407i −0.307246 + 0.307246i
\(445\) −53.8524 −2.55285
\(446\) −17.4861 −0.827992
\(447\) −4.12959 + 4.12959i −0.195323 + 0.195323i
\(448\) −0.0697092 2.64483i −0.00329345 0.124957i
\(449\) 4.25061 + 15.8635i 0.200599 + 0.748645i 0.990746 + 0.135728i \(0.0433373\pi\)
−0.790147 + 0.612917i \(0.789996\pi\)
\(450\) −7.48448 2.00546i −0.352822 0.0945383i
\(451\) −1.01238 + 0.584498i −0.0476711 + 0.0275229i
\(452\) 1.00290i 0.0471724i
\(453\) −6.57635 + 1.76213i −0.308984 + 0.0827919i
\(454\) 3.87012 0.181634
\(455\) −32.2835 10.8576i −1.51348 0.509013i
\(456\) −0.681240 −0.0319020
\(457\) −14.6553 + 3.92689i −0.685548 + 0.183692i −0.584749 0.811215i \(-0.698807\pi\)
−0.100800 + 0.994907i \(0.532140\pi\)
\(458\) 8.06877i 0.377029i
\(459\) −4.09559 + 2.36459i −0.191166 + 0.110370i
\(460\) −26.2348 7.02959i −1.22320 0.327756i
\(461\) 2.74614 + 10.2488i 0.127901 + 0.477332i 0.999926 0.0121281i \(-0.00386058\pi\)
−0.872026 + 0.489460i \(0.837194\pi\)
\(462\) −4.66997 2.53456i −0.217267 0.117918i
\(463\) 8.33157 8.33157i 0.387201 0.387201i −0.486487 0.873688i \(-0.661722\pi\)
0.873688 + 0.486487i \(0.161722\pi\)
\(464\) 7.34792 0.341119
\(465\) 31.7396 1.47189
\(466\) −4.81157 + 4.81157i −0.222892 + 0.222892i
\(467\) −17.6025 30.4885i −0.814548 1.41084i −0.909652 0.415371i \(-0.863652\pi\)
0.0951043 0.995467i \(-0.469682\pi\)
\(468\) 3.27036 1.51814i 0.151172 0.0701763i
\(469\) −12.4272 11.7890i −0.573836 0.544364i
\(470\) −9.74790 + 36.3797i −0.449637 + 1.67807i
\(471\) −1.90872 + 3.30600i −0.0879491 + 0.152332i
\(472\) 4.30915 + 7.46367i 0.198345 + 0.343543i
\(473\) 2.53262 0.678613i 0.116450 0.0312027i
\(474\) 3.45326 3.45326i 0.158614 0.158614i
\(475\) −5.09873 + 1.36620i −0.233946 + 0.0626856i
\(476\) −10.9970 5.96845i −0.504046 0.273563i
\(477\) −6.72250 + 11.6437i −0.307802 + 0.533129i
\(478\) −0.157083 0.0906917i −0.00718479 0.00414814i
\(479\) 3.21131 + 3.21131i 0.146729 + 0.146729i 0.776655 0.629926i \(-0.216915\pi\)
−0.629926 + 0.776655i \(0.716915\pi\)
\(480\) 3.09215 + 1.78525i 0.141137 + 0.0814852i
\(481\) −5.67640 32.5197i −0.258822 1.48277i
\(482\) 2.82276i 0.128573i
\(483\) 9.60019 17.6885i 0.436824 0.804857i
\(484\) 3.48338 + 6.03340i 0.158336 + 0.274245i
\(485\) 46.2725i 2.10113i
\(486\) 0.258819 + 0.965926i 0.0117403 + 0.0438153i
\(487\) −0.757840 + 2.82830i −0.0343410 + 0.128162i −0.980968 0.194168i \(-0.937799\pi\)
0.946627 + 0.322330i \(0.104466\pi\)
\(488\) −6.98905 6.98905i −0.316380 0.316380i
\(489\) 7.33467 + 7.33467i 0.331685 + 0.331685i
\(490\) 24.9588 1.31658i 1.12753 0.0594771i
\(491\) −7.86958 + 4.54350i −0.355149 + 0.205045i −0.666951 0.745102i \(-0.732401\pi\)
0.311802 + 0.950147i \(0.399068\pi\)
\(492\) 0.150655 + 0.562251i 0.00679204 + 0.0253482i
\(493\) 17.3748 30.0941i 0.782523 1.35537i
\(494\) 1.41231 2.00961i 0.0635427 0.0904167i
\(495\) 6.20993 3.58531i 0.279116 0.161148i
\(496\) −8.58648 2.30074i −0.385544 0.103306i
\(497\) 14.6454 4.34089i 0.656937 0.194716i
\(498\) −9.26817 5.35098i −0.415317 0.239783i
\(499\) 0.812714 3.03309i 0.0363821 0.135780i −0.945346 0.326069i \(-0.894276\pi\)
0.981728 + 0.190289i \(0.0609425\pi\)
\(500\) 9.47916 + 2.53993i 0.423921 + 0.113589i
\(501\) −9.27047 2.48401i −0.414174 0.110978i
\(502\) 7.53366 28.1160i 0.336244 1.25488i
\(503\) 13.3678 + 7.71789i 0.596039 + 0.344123i 0.767482 0.641071i \(-0.221509\pi\)
−0.171443 + 0.985194i \(0.554843\pi\)
\(504\) −1.82089 + 1.91947i −0.0811088 + 0.0855000i
\(505\) 25.4422 + 6.81721i 1.13216 + 0.303362i
\(506\) 13.2301 7.63837i 0.588147 0.339567i
\(507\) −2.30149 + 12.7947i −0.102213 + 0.568230i
\(508\) 6.66888 11.5508i 0.295884 0.512486i
\(509\) −3.28675 12.2663i −0.145683 0.543695i −0.999724 0.0234899i \(-0.992522\pi\)
0.854041 0.520205i \(-0.174144\pi\)
\(510\) 14.6233 8.44278i 0.647532 0.373853i
\(511\) 9.33278 2.76623i 0.412858 0.122371i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 0.481710 + 0.481710i 0.0212680 + 0.0212680i
\(514\) 1.62448 6.06264i 0.0716527 0.267412i
\(515\) −5.58821 20.8555i −0.246246 0.919002i
\(516\) 1.30557i 0.0574744i
\(517\) −10.5921 18.3460i −0.465840 0.806858i
\(518\) 12.6604 + 20.6520i 0.556266 + 0.907396i
\(519\) 7.31771i 0.321212i
\(520\) −11.6768 + 5.42054i −0.512063 + 0.237707i
\(521\) −13.9992 8.08244i −0.613316 0.354098i 0.160946 0.986963i \(-0.448545\pi\)
−0.774262 + 0.632865i \(0.781879\pi\)
\(522\) −5.19577 5.19577i −0.227413 0.227413i
\(523\) 13.4912 + 7.78915i 0.589929 + 0.340596i 0.765070 0.643948i \(-0.222705\pi\)
−0.175140 + 0.984543i \(0.556038\pi\)
\(524\) −2.31534 + 4.01029i −0.101146 + 0.175190i
\(525\) −9.77897 + 18.0180i −0.426789 + 0.786368i
\(526\) −20.1763 + 5.40623i −0.879729 + 0.235723i
\(527\) −29.7264 + 29.7264i −1.29490 + 1.29490i
\(528\) −1.93986 + 0.519784i −0.0844216 + 0.0226207i
\(529\) 17.4320 + 30.1931i 0.757913 + 1.31274i
\(530\) 24.0027 41.5739i 1.04261 1.80586i
\(531\) 2.23058 8.32464i 0.0967989 0.361259i
\(532\) −0.420461 + 1.75266i −0.0182293 + 0.0759876i
\(533\) −1.97093 0.721204i −0.0853704 0.0312388i
\(534\) −7.54129 13.0619i −0.326343 0.565243i
\(535\) −44.4158 + 44.4158i −1.92026 + 1.92026i
\(536\) −6.47430 −0.279647
\(537\) −14.8468 −0.640687
\(538\) −4.85837 + 4.85837i −0.209459 + 0.209459i
\(539\) −9.40309 + 10.4504i −0.405020 + 0.450129i
\(540\) −0.924115 3.44884i −0.0397676 0.148415i
\(541\) −17.0511 4.56883i −0.733084 0.196429i −0.127082 0.991892i \(-0.540561\pi\)
−0.606002 + 0.795463i \(0.707228\pi\)
\(542\) 12.9374 7.46939i 0.555707 0.320838i
\(543\) 13.6529i 0.585902i
\(544\) −4.56804 + 1.22400i −0.195853 + 0.0524787i
\(545\) 22.2177 0.951700
\(546\) −1.88735 9.35082i −0.0807712 0.400178i
\(547\) 14.7083 0.628883 0.314442 0.949277i \(-0.398183\pi\)
0.314442 + 0.949277i \(0.398183\pi\)
\(548\) 14.8466 3.97813i 0.634214 0.169937i
\(549\) 9.88401i 0.421839i
\(550\) −13.4764 + 7.78062i −0.574637 + 0.331767i
\(551\) −4.83514 1.29557i −0.205984 0.0551932i
\(552\) −1.96880 7.34764i −0.0837975 0.312736i
\(553\) −6.75305 11.0157i −0.287169 0.468437i
\(554\) 2.97027 2.97027i 0.126195 0.126195i
\(555\) −32.6905 −1.38764
\(556\) 0.915771 0.0388373
\(557\) −0.427207 + 0.427207i −0.0181014 + 0.0181014i −0.716100 0.697998i \(-0.754074\pi\)
0.697998 + 0.716100i \(0.254074\pi\)
\(558\) 4.44469 + 7.69843i 0.188159 + 0.325900i
\(559\) 3.85133 + 2.70662i 0.162894 + 0.114478i
\(560\) 6.50149 6.85348i 0.274738 0.289612i
\(561\) −2.45815 + 9.17395i −0.103783 + 0.387324i
\(562\) −1.28984 + 2.23407i −0.0544087 + 0.0942386i
\(563\) −6.17388 10.6935i −0.260198 0.450676i 0.706096 0.708116i \(-0.250454\pi\)
−0.966294 + 0.257440i \(0.917121\pi\)
\(564\) −10.1889 + 2.73012i −0.429032 + 0.114959i
\(565\) −2.53205 + 2.53205i −0.106524 + 0.106524i
\(566\) 2.80561 0.751761i 0.117929 0.0315989i
\(567\) 2.64483 0.0697092i 0.111073 0.00292751i
\(568\) 2.88674 4.99999i 0.121125 0.209795i
\(569\) 23.6659 + 13.6635i 0.992125 + 0.572804i 0.905909 0.423473i \(-0.139189\pi\)
0.0862160 + 0.996276i \(0.472522\pi\)
\(570\) −1.71995 1.71995i −0.0720406 0.0720406i
\(571\) 9.22848 + 5.32807i 0.386200 + 0.222973i 0.680512 0.732737i \(-0.261757\pi\)
−0.294312 + 0.955709i \(0.595091\pi\)
\(572\) 2.48828 6.80004i 0.104040 0.284324i
\(573\) 8.46354i 0.353569i
\(574\) 1.53952 0.0405767i 0.0642582 0.00169364i
\(575\) −29.4708 51.0450i −1.22902 2.12872i
\(576\) 1.00000i 0.0416667i
\(577\) −9.04531 33.7576i −0.376561 1.40535i −0.851050 0.525084i \(-0.824034\pi\)
0.474489 0.880261i \(-0.342633\pi\)
\(578\) −1.38860 + 5.18234i −0.0577583 + 0.215557i
\(579\) 10.7557 + 10.7557i 0.446991 + 0.446991i
\(580\) 18.5515 + 18.5515i 0.770310 + 0.770310i
\(581\) −19.4871 + 20.5421i −0.808460 + 0.852230i
\(582\) 11.2234 6.47983i 0.465224 0.268597i
\(583\) 6.98850 + 26.0814i 0.289434 + 1.08018i
\(584\) 1.83957 3.18623i 0.0761220 0.131847i
\(585\) 12.0897 + 4.42386i 0.499846 + 0.182904i
\(586\) 15.6094 9.01208i 0.644818 0.372286i
\(587\) 4.89909 + 1.31271i 0.202207 + 0.0541812i 0.358501 0.933529i \(-0.383288\pi\)
−0.156294 + 0.987711i \(0.549955\pi\)
\(588\) 3.81448 + 5.86939i 0.157306 + 0.242050i
\(589\) 5.24448 + 3.02790i 0.216095 + 0.124763i
\(590\) −7.96430 + 29.7232i −0.327885 + 1.22368i
\(591\) 4.36739 + 1.17024i 0.179650 + 0.0481372i
\(592\) 8.84374 + 2.36967i 0.363476 + 0.0973930i
\(593\) 5.81874 21.7158i 0.238947 0.891763i −0.737383 0.675475i \(-0.763938\pi\)
0.976330 0.216288i \(-0.0693949\pi\)
\(594\) 1.73923 + 1.00415i 0.0713615 + 0.0412006i
\(595\) −12.6957 42.8331i −0.520473 1.75599i
\(596\) 5.64112 + 1.51153i 0.231069 + 0.0619148i
\(597\) 9.20897 5.31680i 0.376898 0.217602i
\(598\) 25.7566 + 9.42489i 1.05327 + 0.385412i
\(599\) −5.52565 + 9.57071i −0.225772 + 0.391049i −0.956551 0.291566i \(-0.905824\pi\)
0.730779 + 0.682614i \(0.239157\pi\)
\(600\) 2.00546 + 7.48448i 0.0818726 + 0.305553i
\(601\) −18.0960 + 10.4477i −0.738149 + 0.426171i −0.821396 0.570358i \(-0.806804\pi\)
0.0832468 + 0.996529i \(0.473471\pi\)
\(602\) −3.35890 0.805795i −0.136899 0.0328418i
\(603\) 4.57802 + 4.57802i 0.186431 + 0.186431i
\(604\) 4.81422 + 4.81422i 0.195888 + 0.195888i
\(605\) −6.43809 + 24.0273i −0.261746 + 0.976848i
\(606\) 1.90931 + 7.12565i 0.0775605 + 0.289460i
\(607\) 30.3754i 1.23290i 0.787394 + 0.616451i \(0.211430\pi\)
−0.787394 + 0.616451i \(0.788570\pi\)
\(608\) 0.340620 + 0.589971i 0.0138140 + 0.0239265i
\(609\) −16.5743 + 10.1606i −0.671623 + 0.411729i
\(610\) 35.2909i 1.42889i
\(611\) 13.0694 35.7166i 0.528733 1.44494i
\(612\) 4.09559 + 2.36459i 0.165554 + 0.0955829i
\(613\) −27.9310 27.9310i −1.12812 1.12812i −0.990483 0.137639i \(-0.956049\pi\)
−0.137639 0.990483i \(-0.543951\pi\)
\(614\) −11.9913 6.92317i −0.483929 0.279396i
\(615\) −1.03917 + 1.79989i −0.0419033 + 0.0725787i
\(616\) 0.139996 + 5.31159i 0.00564062 + 0.214010i
\(617\) −3.81376 + 1.02190i −0.153536 + 0.0411400i −0.334769 0.942300i \(-0.608658\pi\)
0.181232 + 0.983440i \(0.441991\pi\)
\(618\) 4.27594 4.27594i 0.172004 0.172004i
\(619\) 11.5870 3.10472i 0.465720 0.124789i −0.0183255 0.999832i \(-0.505834\pi\)
0.484046 + 0.875043i \(0.339167\pi\)
\(620\) −15.8698 27.4873i −0.637346 1.10392i
\(621\) −3.80342 + 6.58772i −0.152626 + 0.264356i
\(622\) 1.46744 5.47657i 0.0588391 0.219590i
\(623\) −38.2595 + 11.3401i −1.53284 + 0.454331i
\(624\) −2.94993 2.07314i −0.118092 0.0829920i
\(625\) −1.85160 3.20707i −0.0740641 0.128283i
\(626\) −14.6248 + 14.6248i −0.584523 + 0.584523i
\(627\) 1.36813 0.0546378
\(628\) 3.81744 0.152332
\(629\) 30.6170 30.6170i 1.22078 1.22078i
\(630\) −9.44339 + 0.248897i −0.376234 + 0.00991630i
\(631\) 2.37647 + 8.86912i 0.0946059 + 0.353074i 0.996959 0.0779227i \(-0.0248287\pi\)
−0.902354 + 0.430997i \(0.858162\pi\)
\(632\) −4.71724 1.26398i −0.187642 0.0502785i
\(633\) −2.08990 + 1.20660i −0.0830660 + 0.0479582i
\(634\) 24.1807i 0.960339i
\(635\) 45.9998 12.3256i 1.82545 0.489127i
\(636\) 13.4450 0.533129
\(637\) −25.2222 0.915629i −0.999342 0.0362785i
\(638\) −14.7568 −0.584226
\(639\) −5.57676 + 1.49429i −0.220613 + 0.0591131i
\(640\) 3.57050i 0.141137i
\(641\) 8.99538 5.19348i 0.355296 0.205130i −0.311719 0.950174i \(-0.600905\pi\)
0.667015 + 0.745044i \(0.267572\pi\)
\(642\) −16.9928 4.55322i −0.670654 0.179701i
\(643\) −1.46767 5.47742i −0.0578793 0.216008i 0.930929 0.365200i \(-0.118999\pi\)
−0.988808 + 0.149192i \(0.952333\pi\)
\(644\) −20.1188 + 0.530267i −0.792793 + 0.0208954i
\(645\) 3.29620 3.29620i 0.129788 0.129788i
\(646\) 3.22171 0.126756
\(647\) −10.8187 −0.425328 −0.212664 0.977125i \(-0.568214\pi\)
−0.212664 + 0.977125i \(0.568214\pi\)
\(648\) 0.707107 0.707107i 0.0277778 0.0277778i
\(649\) −8.65403 14.9892i −0.339700 0.588378i
\(650\) −26.2363 9.60041i −1.02907 0.376559i
\(651\) 22.5494 6.68363i 0.883781 0.261952i
\(652\) 2.68468 10.0194i 0.105140 0.392388i
\(653\) −22.7001 + 39.3177i −0.888322 + 1.53862i −0.0464640 + 0.998920i \(0.514795\pi\)
−0.841858 + 0.539699i \(0.818538\pi\)
\(654\) 3.11128 + 5.38889i 0.121661 + 0.210722i
\(655\) −15.9705 + 4.27928i −0.624019 + 0.167205i
\(656\) 0.411596 0.411596i 0.0160701 0.0160701i
\(657\) −3.55378 + 0.952233i −0.138646 + 0.0371501i
\(658\) 0.735319 + 27.8987i 0.0286657 + 1.08760i
\(659\) −18.2935 + 31.6853i −0.712614 + 1.23428i 0.251258 + 0.967920i \(0.419156\pi\)
−0.963873 + 0.266364i \(0.914178\pi\)
\(660\) −6.20993 3.58531i −0.241721 0.139558i
\(661\) −29.1656 29.1656i −1.13441 1.13441i −0.989435 0.144976i \(-0.953690\pi\)
−0.144976 0.989435i \(-0.546310\pi\)
\(662\) 31.1532 + 17.9863i 1.21080 + 0.699058i
\(663\) −15.4661 + 7.17958i −0.600654 + 0.278832i
\(664\) 10.7020i 0.415317i
\(665\) −5.48655 + 3.36345i −0.212759 + 0.130429i
\(666\) −4.57786 7.92908i −0.177388 0.307246i
\(667\) 55.8945i 2.16424i
\(668\) 2.48401 + 9.27047i 0.0961094 + 0.358685i
\(669\) 4.52574 16.8903i 0.174975 0.653017i
\(670\) −16.3458 16.3458i −0.631495 0.631495i
\(671\) 14.0360 + 14.0360i 0.541856 + 0.541856i
\(672\) 2.57275 + 0.617199i 0.0992462 + 0.0238090i
\(673\) −30.5453 + 17.6353i −1.17743 + 0.679792i −0.955420 0.295252i \(-0.904597\pi\)
−0.222014 + 0.975043i \(0.571263\pi\)
\(674\) 3.92876 + 14.6623i 0.151330 + 0.564772i
\(675\) 3.87425 6.71040i 0.149120 0.258283i
\(676\) 12.2312 4.40418i 0.470432 0.169391i
\(677\) −26.8599 + 15.5076i −1.03231 + 0.596005i −0.917646 0.397399i \(-0.869913\pi\)
−0.114665 + 0.993404i \(0.536579\pi\)
\(678\) −0.968726 0.259569i −0.0372037 0.00996871i
\(679\) −9.74394 32.8744i −0.373938 1.26160i
\(680\) −14.6233 8.44278i −0.560779 0.323766i
\(681\) −1.00166 + 3.73825i −0.0383837 + 0.143250i
\(682\) 17.2441 + 4.62056i 0.660313 + 0.176930i
\(683\) 2.01620 + 0.540240i 0.0771478 + 0.0206717i 0.297187 0.954819i \(-0.403952\pi\)
−0.220039 + 0.975491i \(0.570618\pi\)
\(684\) 0.176318 0.658028i 0.00674169 0.0251603i
\(685\) 47.5273 + 27.4399i 1.81592 + 1.04842i
\(686\) 17.4548 6.19113i 0.666427 0.236378i
\(687\) −7.79383 2.08835i −0.297353 0.0796756i
\(688\) −1.13065 + 0.652784i −0.0431058 + 0.0248871i
\(689\) −27.8734 + 39.6618i −1.06189 + 1.51100i
\(690\) 13.5801 23.5215i 0.516987 0.895447i
\(691\) −7.08372 26.4368i −0.269477 1.00570i −0.959453 0.281870i \(-0.909045\pi\)
0.689975 0.723833i \(-0.257621\pi\)
\(692\) 6.33732 3.65885i 0.240909 0.139089i
\(693\) 3.65687 3.85486i 0.138913 0.146434i
\(694\) −16.2020 16.2020i −0.615018 0.615018i
\(695\) 2.31207 + 2.31207i 0.0877019 + 0.0877019i
\(696\) −1.90178 + 7.09755i −0.0720869 + 0.269032i
\(697\) −0.712473 2.65899i −0.0269868 0.100716i
\(698\) 27.5073i 1.04117i
\(699\) −3.40230 5.89295i −0.128687 0.222892i
\(700\) 20.4935 0.540142i 0.774581 0.0204155i
\(701\) 2.28069i 0.0861403i 0.999072 + 0.0430702i \(0.0137139\pi\)
−0.999072 + 0.0430702i \(0.986286\pi\)
\(702\) 0.619984 + 3.55185i 0.0233998 + 0.134056i
\(703\) −5.40161 3.11862i −0.203726 0.117621i
\(704\) 1.42008 + 1.42008i 0.0535211 + 0.0535211i
\(705\) −32.6171 18.8315i −1.22843 0.709235i
\(706\) 4.02811 6.97689i 0.151600 0.262579i
\(707\) 19.5110 0.514246i 0.733785 0.0193402i
\(708\) −8.32464 + 2.23058i −0.312859 + 0.0838303i
\(709\) 26.4646 26.4646i 0.993898 0.993898i −0.00608348 0.999981i \(-0.501936\pi\)
0.999981 + 0.00608348i \(0.00193644\pi\)
\(710\) 19.9118 5.33536i 0.747278 0.200233i
\(711\) 2.44183 + 4.22937i 0.0915756 + 0.158614i
\(712\) −7.54129 + 13.0619i −0.282622 + 0.489515i
\(713\) −17.5014 + 65.3160i −0.655431 + 2.44610i
\(714\) 8.61131 9.07753i 0.322270 0.339718i
\(715\) 23.4505 10.8860i 0.876998 0.407114i
\(716\) 7.42340 + 12.8577i 0.277426 + 0.480515i
\(717\) 0.128257 0.128257i 0.00478986 0.00478986i
\(718\) 32.8774 1.22697
\(719\) 7.94866 0.296435 0.148218 0.988955i \(-0.452646\pi\)
0.148218 + 0.988955i \(0.452646\pi\)
\(720\) −2.52473 + 2.52473i −0.0940911 + 0.0940911i
\(721\) −8.36184 13.6401i −0.311411 0.507982i
\(722\) 4.79745 + 17.9043i 0.178542 + 0.666330i
\(723\) 2.72658 + 0.730584i 0.101402 + 0.0271707i
\(724\) −11.8238 + 6.82645i −0.439426 + 0.253703i
\(725\) 56.9354i 2.11453i
\(726\) −6.72938 + 1.80313i −0.249751 + 0.0669205i
\(727\) −16.7482 −0.621157 −0.310579 0.950548i \(-0.600523\pi\)
−0.310579 + 0.950548i \(0.600523\pi\)
\(728\) −7.15438 + 6.30991i −0.265159 + 0.233861i
\(729\) −1.00000 −0.0370370
\(730\) 12.6888 3.39995i 0.469633 0.125838i
\(731\) 6.17426i 0.228363i
\(732\) 8.55981 4.94201i 0.316380 0.182662i
\(733\) 51.2704 + 13.7379i 1.89372 + 0.507420i 0.998030 + 0.0627306i \(0.0199809\pi\)
0.895685 + 0.444689i \(0.146686\pi\)
\(734\) −2.14441 8.00306i −0.0791518 0.295398i
\(735\) −5.18810 + 24.4491i −0.191366 + 0.901820i
\(736\) −5.37885 + 5.37885i −0.198267 + 0.198267i
\(737\) 13.0023 0.478945
\(738\) −0.582085 −0.0214268
\(739\) 35.8179 35.8179i 1.31758 1.31758i 0.401896 0.915685i \(-0.368351\pi\)
0.915685 0.401896i \(-0.131649\pi\)
\(740\) 16.3453 + 28.3108i 0.600864 + 1.04073i
\(741\) 1.57560 + 1.88431i 0.0578813 + 0.0692218i
\(742\) 8.29825 34.5907i 0.304638 1.26986i
\(743\) −6.71594 + 25.0642i −0.246384 + 0.919517i 0.726299 + 0.687379i \(0.241239\pi\)
−0.972683 + 0.232138i \(0.925428\pi\)
\(744\) 4.44469 7.69843i 0.162950 0.282238i
\(745\) 10.4261 + 18.0585i 0.381982 + 0.661612i
\(746\) 4.84036 1.29697i 0.177218 0.0474854i
\(747\) 7.56743 7.56743i 0.276878 0.276878i
\(748\) 9.17395 2.45815i 0.335433 0.0898789i
\(749\) −22.2023 + 40.9082i −0.811254 + 1.49475i
\(750\) −4.90677 + 8.49878i −0.179170 + 0.310332i
\(751\) 34.8875 + 20.1423i 1.27306 + 0.735004i 0.975563 0.219718i \(-0.0705137\pi\)
0.297500 + 0.954722i \(0.403847\pi\)
\(752\) 7.45882 + 7.45882i 0.271995 + 0.271995i
\(753\) 25.2081 + 14.5539i 0.918635 + 0.530374i
\(754\) −16.9946 20.3243i −0.618907 0.740169i
\(755\) 24.3092i 0.884702i
\(756\) −1.38279 2.25564i −0.0502915 0.0820368i
\(757\) 7.96631 + 13.7980i 0.289540 + 0.501499i 0.973700 0.227834i \(-0.0731642\pi\)
−0.684160 + 0.729332i \(0.739831\pi\)
\(758\) 0.712985i 0.0258968i
\(759\) 3.95391 + 14.7562i 0.143518 + 0.535616i
\(760\) −0.629544 + 2.34949i −0.0228360 + 0.0852250i
\(761\) −38.4698 38.4698i −1.39453 1.39453i −0.814829 0.579701i \(-0.803169\pi\)
−0.579701 0.814829i \(-0.696831\pi\)
\(762\) 9.43122 + 9.43122i 0.341657 + 0.341657i
\(763\) 15.7846 4.67853i 0.571440 0.169374i
\(764\) −7.32964 + 4.23177i −0.265177 + 0.153100i
\(765\) 4.37031 + 16.3102i 0.158009 + 0.589697i
\(766\) −5.72878 + 9.92254i −0.206989 + 0.358516i
\(767\) 10.6781 29.1814i 0.385563 1.05368i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) 41.5988 + 11.1464i 1.50009 + 0.401948i 0.913131 0.407667i \(-0.133658\pi\)
0.586961 + 0.809615i \(0.300324\pi\)
\(770\) −13.0569 + 13.7638i −0.470537 + 0.496012i
\(771\) 5.43562 + 3.13825i 0.195759 + 0.113021i
\(772\) 3.93686 14.6925i 0.141691 0.528796i
\(773\) −37.0774 9.93486i −1.33358 0.357332i −0.479533 0.877524i \(-0.659194\pi\)
−0.854049 + 0.520192i \(0.825860\pi\)
\(774\) 1.26108 +