Properties

Label 105.2.x.a.2.10
Level 105
Weight 2
Character 105.2
Analytic conductor 0.838
Analytic rank 0
Dimension 48
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.10
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.391246 + 1.46015i) q^{2} +(-1.50746 + 0.852980i) q^{3} +(-0.246919 + 0.142558i) q^{4} +(-1.82416 + 1.29322i) q^{5} +(-1.83527 - 1.86739i) q^{6} +(-1.17707 + 2.36949i) q^{7} +(1.83305 + 1.83305i) q^{8} +(1.54485 - 2.57166i) q^{9} +O(q^{10})\) \(q+(0.391246 + 1.46015i) q^{2} +(-1.50746 + 0.852980i) q^{3} +(-0.246919 + 0.142558i) q^{4} +(-1.82416 + 1.29322i) q^{5} +(-1.83527 - 1.86739i) q^{6} +(-1.17707 + 2.36949i) q^{7} +(1.83305 + 1.83305i) q^{8} +(1.54485 - 2.57166i) q^{9} +(-2.60200 - 2.15759i) q^{10} +(0.791646 - 0.457057i) q^{11} +(0.250619 - 0.425517i) q^{12} +(3.07974 - 3.07974i) q^{13} +(-3.92035 - 0.791646i) q^{14} +(1.64675 - 3.50545i) q^{15} +(-2.24447 + 3.88754i) q^{16} +(-1.16230 - 0.311437i) q^{17} +(4.35943 + 1.24956i) q^{18} +(5.95337 + 3.43718i) q^{19} +(0.266060 - 0.579371i) q^{20} +(-0.246748 - 4.57593i) q^{21} +(0.977102 + 0.977102i) q^{22} +(1.88814 - 0.505926i) q^{23} +(-4.32679 - 1.19969i) q^{24} +(1.65515 - 4.71810i) q^{25} +(5.70182 + 3.29195i) q^{26} +(-0.135217 + 5.19439i) q^{27} +(-0.0471508 - 0.752874i) q^{28} -2.72261 q^{29} +(5.76278 + 1.03301i) q^{30} +(-2.31688 - 4.01295i) q^{31} +(-1.54656 - 0.414399i) q^{32} +(-0.803512 + 1.36425i) q^{33} -1.81898i q^{34} +(-0.917115 - 5.84456i) q^{35} +(-0.0148398 + 0.855222i) q^{36} +(-0.774982 + 0.207656i) q^{37} +(-2.68957 + 10.0376i) q^{38} +(-2.01562 + 7.26953i) q^{39} +(-5.71432 - 0.973238i) q^{40} -0.922837i q^{41} +(6.58501 - 2.15061i) q^{42} +(-4.80893 + 4.80893i) q^{43} +(-0.130315 + 0.225712i) q^{44} +(0.507675 + 6.68897i) q^{45} +(1.47746 + 2.55903i) q^{46} +(-2.71272 - 10.1240i) q^{47} +(0.0674490 - 7.77478i) q^{48} +(-4.22901 - 5.57813i) q^{49} +(7.53672 + 0.570823i) q^{50} +(2.01776 - 0.521940i) q^{51} +(-0.321402 + 1.19949i) q^{52} +(2.85459 - 10.6535i) q^{53} +(-7.63750 + 1.83485i) q^{54} +(-0.853015 + 1.85752i) q^{55} +(-6.50102 + 2.18577i) q^{56} +(-11.9063 - 0.103291i) q^{57} +(-1.06521 - 3.97543i) q^{58} +(4.94023 + 8.55672i) q^{59} +(0.0931184 + 1.10032i) q^{60} +(0.533944 - 0.924818i) q^{61} +(4.95304 - 4.95304i) q^{62} +(4.27514 + 6.68754i) q^{63} +6.55754i q^{64} +(-1.63516 + 9.60074i) q^{65} +(-2.30639 - 0.639490i) q^{66} +(-1.83132 + 6.83458i) q^{67} +(0.331391 - 0.0887959i) q^{68} +(-2.41475 + 2.37321i) q^{69} +(8.17513 - 3.62579i) q^{70} -0.557759i q^{71} +(7.54576 - 1.88219i) q^{72} +(2.10543 + 0.564147i) q^{73} +(-0.606418 - 1.05035i) q^{74} +(1.52939 + 8.52414i) q^{75} -1.96000 q^{76} +(0.151170 + 2.41379i) q^{77} +(-11.4032 - 0.0989269i) q^{78} +(2.62503 + 1.51556i) q^{79} +(-0.933173 - 9.99411i) q^{80} +(-4.22688 - 7.94566i) q^{81} +(1.34748 - 0.361057i) q^{82} +(2.38102 + 2.38102i) q^{83} +(0.713264 + 1.09471i) q^{84} +(2.52298 - 0.934999i) q^{85} +(-8.90325 - 5.14029i) q^{86} +(4.10422 - 2.32233i) q^{87} +(2.28893 + 0.613318i) q^{88} +(5.64725 - 9.78132i) q^{89} +(-9.56828 + 3.35832i) q^{90} +(3.67235 + 10.9225i) q^{91} +(-0.394093 + 0.394093i) q^{92} +(6.91556 + 4.07310i) q^{93} +(13.7213 - 7.92197i) q^{94} +(-15.3050 + 1.42906i) q^{95} +(2.68484 - 0.694495i) q^{96} +(-1.58805 - 1.58805i) q^{97} +(6.49033 - 8.35741i) q^{98} +(0.0475780 - 2.74193i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} + O(q^{10}) \) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} - 8q^{10} - 10q^{12} - 16q^{13} + 4q^{15} - 8q^{16} + 14q^{18} - 28q^{21} - 8q^{22} + 4q^{25} + 40q^{27} - 60q^{28} + 40q^{30} - 24q^{31} - 4q^{33} + 8q^{36} + 4q^{37} - 16q^{40} + 14q^{42} + 16q^{43} + 40q^{45} - 32q^{46} + 44q^{48} + 8q^{51} + 36q^{52} - 40q^{55} - 88q^{57} + 56q^{58} - 50q^{60} - 8q^{61} + 44q^{63} + 76q^{66} + 12q^{67} + 140q^{70} - 34q^{72} + 52q^{73} + 6q^{75} + 64q^{76} - 120q^{78} + 20q^{81} + 104q^{82} - 24q^{85} - 46q^{87} - 84q^{90} + 72q^{91} - 44q^{93} + 12q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.391246 + 1.46015i 0.276653 + 1.03248i 0.954726 + 0.297488i \(0.0961489\pi\)
−0.678072 + 0.734995i \(0.737184\pi\)
\(3\) −1.50746 + 0.852980i −0.870330 + 0.492468i
\(4\) −0.246919 + 0.142558i −0.123459 + 0.0712792i
\(5\) −1.82416 + 1.29322i −0.815791 + 0.578347i
\(6\) −1.83527 1.86739i −0.749245 0.762359i
\(7\) −1.17707 + 2.36949i −0.444891 + 0.895585i
\(8\) 1.83305 + 1.83305i 0.648080 + 0.648080i
\(9\) 1.54485 2.57166i 0.514950 0.857220i
\(10\) −2.60200 2.15759i −0.822825 0.682289i
\(11\) 0.791646 0.457057i 0.238690 0.137808i −0.375884 0.926667i \(-0.622661\pi\)
0.614575 + 0.788859i \(0.289328\pi\)
\(12\) 0.250619 0.425517i 0.0723476 0.122836i
\(13\) 3.07974 3.07974i 0.854166 0.854166i −0.136477 0.990643i \(-0.543578\pi\)
0.990643 + 0.136477i \(0.0435781\pi\)
\(14\) −3.92035 0.791646i −1.04776 0.211576i
\(15\) 1.64675 3.50545i 0.425190 0.905104i
\(16\) −2.24447 + 3.88754i −0.561118 + 0.971885i
\(17\) −1.16230 0.311437i −0.281899 0.0755345i 0.115099 0.993354i \(-0.463281\pi\)
−0.396998 + 0.917819i \(0.629948\pi\)
\(18\) 4.35943 + 1.24956i 1.02753 + 0.294524i
\(19\) 5.95337 + 3.43718i 1.36580 + 0.788543i 0.990388 0.138316i \(-0.0441690\pi\)
0.375409 + 0.926859i \(0.377502\pi\)
\(20\) 0.266060 0.579371i 0.0594928 0.129551i
\(21\) −0.246748 4.57593i −0.0538449 0.998549i
\(22\) 0.977102 + 0.977102i 0.208319 + 0.208319i
\(23\) 1.88814 0.505926i 0.393705 0.105493i −0.0565348 0.998401i \(-0.518005\pi\)
0.450240 + 0.892908i \(0.351339\pi\)
\(24\) −4.32679 1.19969i −0.883203 0.244885i
\(25\) 1.65515 4.71810i 0.331029 0.943621i
\(26\) 5.70182 + 3.29195i 1.11822 + 0.645604i
\(27\) −0.135217 + 5.19439i −0.0260225 + 0.999661i
\(28\) −0.0471508 0.752874i −0.00891066 0.142280i
\(29\) −2.72261 −0.505576 −0.252788 0.967522i \(-0.581348\pi\)
−0.252788 + 0.967522i \(0.581348\pi\)
\(30\) 5.76278 + 1.03301i 1.05213 + 0.188601i
\(31\) −2.31688 4.01295i −0.416123 0.720747i 0.579422 0.815028i \(-0.303278\pi\)
−0.995546 + 0.0942806i \(0.969945\pi\)
\(32\) −1.54656 0.414399i −0.273395 0.0732561i
\(33\) −0.803512 + 1.36425i −0.139873 + 0.237486i
\(34\) 1.81898i 0.311952i
\(35\) −0.917115 5.84456i −0.155021 0.987911i
\(36\) −0.0148398 + 0.855222i −0.00247330 + 0.142537i
\(37\) −0.774982 + 0.207656i −0.127406 + 0.0341384i −0.321959 0.946754i \(-0.604341\pi\)
0.194552 + 0.980892i \(0.437675\pi\)
\(38\) −2.68957 + 10.0376i −0.436306 + 1.62832i
\(39\) −2.01562 + 7.26953i −0.322757 + 1.16406i
\(40\) −5.71432 0.973238i −0.903513 0.153882i
\(41\) 0.922837i 0.144123i −0.997400 0.0720615i \(-0.977042\pi\)
0.997400 0.0720615i \(-0.0229578\pi\)
\(42\) 6.58501 2.15061i 1.01609 0.331846i
\(43\) −4.80893 + 4.80893i −0.733355 + 0.733355i −0.971283 0.237928i \(-0.923532\pi\)
0.237928 + 0.971283i \(0.423532\pi\)
\(44\) −0.130315 + 0.225712i −0.0196457 + 0.0340273i
\(45\) 0.507675 + 6.68897i 0.0756797 + 0.997132i
\(46\) 1.47746 + 2.55903i 0.217839 + 0.377309i
\(47\) −2.71272 10.1240i −0.395691 1.47674i −0.820600 0.571503i \(-0.806360\pi\)
0.424909 0.905236i \(-0.360306\pi\)
\(48\) 0.0674490 7.77478i 0.00973542 1.12219i
\(49\) −4.22901 5.57813i −0.604144 0.796875i
\(50\) 7.53672 + 0.570823i 1.06585 + 0.0807265i
\(51\) 2.01776 0.521940i 0.282543 0.0730862i
\(52\) −0.321402 + 1.19949i −0.0445704 + 0.166339i
\(53\) 2.85459 10.6535i 0.392107 1.46336i −0.434544 0.900651i \(-0.643090\pi\)
0.826651 0.562714i \(-0.190243\pi\)
\(54\) −7.63750 + 1.83485i −1.03933 + 0.249692i
\(55\) −0.853015 + 1.85752i −0.115021 + 0.250468i
\(56\) −6.50102 + 2.18577i −0.868736 + 0.292086i
\(57\) −11.9063 0.103291i −1.57703 0.0136813i
\(58\) −1.06521 3.97543i −0.139869 0.521999i
\(59\) 4.94023 + 8.55672i 0.643163 + 1.11399i 0.984723 + 0.174130i \(0.0557114\pi\)
−0.341560 + 0.939860i \(0.610955\pi\)
\(60\) 0.0931184 + 1.10032i 0.0120215 + 0.142051i
\(61\) 0.533944 0.924818i 0.0683645 0.118411i −0.829817 0.558036i \(-0.811555\pi\)
0.898182 + 0.439625i \(0.144889\pi\)
\(62\) 4.95304 4.95304i 0.629037 0.629037i
\(63\) 4.27514 + 6.68754i 0.538617 + 0.842551i
\(64\) 6.55754i 0.819693i
\(65\) −1.63516 + 9.60074i −0.202816 + 1.19082i
\(66\) −2.30639 0.639490i −0.283897 0.0787158i
\(67\) −1.83132 + 6.83458i −0.223732 + 0.834977i 0.759177 + 0.650884i \(0.225602\pi\)
−0.982909 + 0.184093i \(0.941065\pi\)
\(68\) 0.331391 0.0887959i 0.0401870 0.0107681i
\(69\) −2.41475 + 2.37321i −0.290701 + 0.285701i
\(70\) 8.17513 3.62579i 0.977115 0.433365i
\(71\) 0.557759i 0.0661938i −0.999452 0.0330969i \(-0.989463\pi\)
0.999452 0.0330969i \(-0.0105370\pi\)
\(72\) 7.54576 1.88219i 0.889276 0.221819i
\(73\) 2.10543 + 0.564147i 0.246421 + 0.0660284i 0.379915 0.925021i \(-0.375953\pi\)
−0.133494 + 0.991050i \(0.542620\pi\)
\(74\) −0.606418 1.05035i −0.0704946 0.122100i
\(75\) 1.52939 + 8.52414i 0.176599 + 0.984283i
\(76\) −1.96000 −0.224827
\(77\) 0.151170 + 2.41379i 0.0172275 + 0.275077i
\(78\) −11.4032 0.0989269i −1.29116 0.0112013i
\(79\) 2.62503 + 1.51556i 0.295339 + 0.170514i 0.640347 0.768086i \(-0.278790\pi\)
−0.345008 + 0.938600i \(0.612124\pi\)
\(80\) −0.933173 9.99411i −0.104332 1.11738i
\(81\) −4.22688 7.94566i −0.469653 0.882851i
\(82\) 1.34748 0.361057i 0.148805 0.0398720i
\(83\) 2.38102 + 2.38102i 0.261351 + 0.261351i 0.825603 0.564252i \(-0.190835\pi\)
−0.564252 + 0.825603i \(0.690835\pi\)
\(84\) 0.713264 + 1.09471i 0.0778235 + 0.119442i
\(85\) 2.52298 0.934999i 0.273655 0.101415i
\(86\) −8.90325 5.14029i −0.960062 0.554292i
\(87\) 4.10422 2.32233i 0.440018 0.248980i
\(88\) 2.28893 + 0.613318i 0.244001 + 0.0653799i
\(89\) 5.64725 9.78132i 0.598607 1.03682i −0.394420 0.918930i \(-0.629054\pi\)
0.993027 0.117888i \(-0.0376123\pi\)
\(90\) −9.56828 + 3.35832i −1.00859 + 0.353998i
\(91\) 3.67235 + 10.9225i 0.384967 + 1.14499i
\(92\) −0.394093 + 0.394093i −0.0410871 + 0.0410871i
\(93\) 6.91556 + 4.07310i 0.717110 + 0.422360i
\(94\) 13.7213 7.92197i 1.41524 0.817089i
\(95\) −15.3050 + 1.42906i −1.57026 + 0.146618i
\(96\) 2.68484 0.694495i 0.274021 0.0708816i
\(97\) −1.58805 1.58805i −0.161242 0.161242i 0.621875 0.783117i \(-0.286371\pi\)
−0.783117 + 0.621875i \(0.786371\pi\)
\(98\) 6.49033 8.35741i 0.655622 0.844226i
\(99\) 0.0475780 2.74193i 0.00478177 0.275574i
\(100\) 0.263919 + 1.40094i 0.0263919 + 0.140094i
\(101\) 4.02299 2.32267i 0.400302 0.231114i −0.286312 0.958136i \(-0.592429\pi\)
0.686614 + 0.727022i \(0.259096\pi\)
\(102\) 1.55155 + 2.74203i 0.153627 + 0.271502i
\(103\) −2.72555 10.1719i −0.268556 1.00227i −0.960037 0.279871i \(-0.909708\pi\)
0.691481 0.722395i \(-0.256959\pi\)
\(104\) 11.2906 1.10714
\(105\) 6.36781 + 8.02814i 0.621434 + 0.783466i
\(106\) 16.6725 1.61938
\(107\) 1.63757 + 6.11150i 0.158310 + 0.590821i 0.998799 + 0.0489927i \(0.0156011\pi\)
−0.840489 + 0.541829i \(0.817732\pi\)
\(108\) −0.707117 1.30187i −0.0680424 0.125272i
\(109\) 7.46435 4.30954i 0.714955 0.412779i −0.0979381 0.995193i \(-0.531225\pi\)
0.812893 + 0.582413i \(0.197891\pi\)
\(110\) −3.04600 0.518783i −0.290425 0.0494640i
\(111\) 0.991125 0.974076i 0.0940734 0.0924552i
\(112\) −6.56960 9.89417i −0.620769 0.934911i
\(113\) −7.44178 7.44178i −0.700064 0.700064i 0.264360 0.964424i \(-0.414839\pi\)
−0.964424 + 0.264360i \(0.914839\pi\)
\(114\) −4.50747 17.4254i −0.422164 1.63204i
\(115\) −2.79001 + 3.36468i −0.260169 + 0.313758i
\(116\) 0.672263 0.388131i 0.0624181 0.0360371i
\(117\) −3.16231 12.6778i −0.292356 1.17206i
\(118\) −10.5613 + 10.5613i −0.972243 + 0.972243i
\(119\) 2.10605 2.38747i 0.193062 0.218859i
\(120\) 9.44424 3.40709i 0.862137 0.311023i
\(121\) −5.08220 + 8.80262i −0.462018 + 0.800239i
\(122\) 1.55928 + 0.417807i 0.141170 + 0.0378265i
\(123\) 0.787162 + 1.39114i 0.0709760 + 0.125435i
\(124\) 1.14416 + 0.660581i 0.102749 + 0.0593219i
\(125\) 3.08230 + 10.7471i 0.275690 + 0.961247i
\(126\) −8.09219 + 8.85883i −0.720910 + 0.789207i
\(127\) −4.42895 4.42895i −0.393006 0.393006i 0.482752 0.875757i \(-0.339637\pi\)
−0.875757 + 0.482752i \(0.839637\pi\)
\(128\) −12.6681 + 3.39441i −1.11971 + 0.300027i
\(129\) 3.14733 11.3512i 0.277107 0.999416i
\(130\) −14.6583 + 1.36868i −1.28562 + 0.120041i
\(131\) 7.37260 + 4.25658i 0.644147 + 0.371899i 0.786210 0.617959i \(-0.212040\pi\)
−0.142063 + 0.989858i \(0.545374\pi\)
\(132\) 0.00391611 0.451407i 0.000340854 0.0392899i
\(133\) −15.1519 + 10.0607i −1.31384 + 0.872371i
\(134\) −10.6960 −0.923996
\(135\) −6.47085 9.65029i −0.556922 0.830565i
\(136\) −1.55967 2.70143i −0.133740 0.231645i
\(137\) 9.98048 + 2.67426i 0.852690 + 0.228478i 0.658588 0.752504i \(-0.271154\pi\)
0.194102 + 0.980981i \(0.437821\pi\)
\(138\) −4.41001 2.59739i −0.375405 0.221104i
\(139\) 3.03547i 0.257465i −0.991679 0.128733i \(-0.958909\pi\)
0.991679 0.128733i \(-0.0410909\pi\)
\(140\) 1.05964 + 1.31239i 0.0895563 + 0.110917i
\(141\) 12.7249 + 12.9476i 1.07163 + 1.09039i
\(142\) 0.814412 0.218221i 0.0683440 0.0183127i
\(143\) 1.03045 3.84568i 0.0861703 0.321592i
\(144\) 6.53006 + 11.7777i 0.544172 + 0.981473i
\(145\) 4.96649 3.52095i 0.412444 0.292399i
\(146\) 3.29496i 0.272693i
\(147\) 11.1331 + 4.80152i 0.918241 + 0.396023i
\(148\) 0.161754 0.161754i 0.0132961 0.0132961i
\(149\) −6.44006 + 11.1545i −0.527590 + 0.913813i 0.471892 + 0.881656i \(0.343571\pi\)
−0.999483 + 0.0321573i \(0.989762\pi\)
\(150\) −11.8482 + 5.56818i −0.967399 + 0.454640i
\(151\) −5.94939 10.3046i −0.484154 0.838580i 0.515680 0.856781i \(-0.327539\pi\)
−0.999834 + 0.0182013i \(0.994206\pi\)
\(152\) 4.61230 + 17.2133i 0.374107 + 1.39619i
\(153\) −2.59648 + 2.50791i −0.209913 + 0.202753i
\(154\) −3.46536 + 1.16512i −0.279246 + 0.0938879i
\(155\) 9.41600 + 4.32404i 0.756312 + 0.347315i
\(156\) −0.538640 2.08232i −0.0431257 0.166719i
\(157\) −3.60080 + 13.4384i −0.287375 + 1.07250i 0.659711 + 0.751520i \(0.270679\pi\)
−0.947086 + 0.320980i \(0.895988\pi\)
\(158\) −1.18592 + 4.42591i −0.0943466 + 0.352106i
\(159\) 4.78403 + 18.4945i 0.379398 + 1.46671i
\(160\) 3.35709 1.24411i 0.265401 0.0983558i
\(161\) −1.02369 + 5.06945i −0.0806780 + 0.399529i
\(162\) 9.94811 9.28060i 0.781598 0.729153i
\(163\) −6.23594 23.2728i −0.488436 1.82287i −0.564061 0.825733i \(-0.690762\pi\)
0.0756252 0.997136i \(-0.475905\pi\)
\(164\) 0.131558 + 0.227866i 0.0102730 + 0.0177933i
\(165\) −0.298547 3.52774i −0.0232419 0.274634i
\(166\) −2.54508 + 4.40821i −0.197537 + 0.342144i
\(167\) −4.98846 + 4.98846i −0.386018 + 0.386018i −0.873265 0.487246i \(-0.838001\pi\)
0.487246 + 0.873265i \(0.338001\pi\)
\(168\) 7.93559 8.84019i 0.612244 0.682036i
\(169\) 5.96958i 0.459199i
\(170\) 2.35235 + 3.31812i 0.180417 + 0.254488i
\(171\) 18.0363 10.0001i 1.37927 0.764729i
\(172\) 0.501860 1.87297i 0.0382665 0.142813i
\(173\) −23.2450 + 6.22848i −1.76728 + 0.473543i −0.988173 0.153342i \(-0.950996\pi\)
−0.779112 + 0.626885i \(0.784330\pi\)
\(174\) 4.99672 + 5.08418i 0.378800 + 0.385430i
\(175\) 9.23129 + 9.47540i 0.697820 + 0.716273i
\(176\) 4.10341i 0.309306i
\(177\) −14.7459 8.68497i −1.10837 0.652802i
\(178\) 16.4917 + 4.41893i 1.23610 + 0.331213i
\(179\) −2.55927 4.43279i −0.191289 0.331322i 0.754389 0.656428i \(-0.227933\pi\)
−0.945678 + 0.325106i \(0.894600\pi\)
\(180\) −1.07892 1.57926i −0.0804182 0.117711i
\(181\) −1.77024 −0.131581 −0.0657906 0.997833i \(-0.520957\pi\)
−0.0657906 + 0.997833i \(0.520957\pi\)
\(182\) −14.5117 + 9.63558i −1.07568 + 0.714237i
\(183\) −0.0160456 + 1.84957i −0.00118613 + 0.136724i
\(184\) 4.38844 + 2.53367i 0.323520 + 0.186784i
\(185\) 1.14515 1.38102i 0.0841930 0.101535i
\(186\) −3.24165 + 11.6913i −0.237689 + 0.857251i
\(187\) −1.06247 + 0.284689i −0.0776957 + 0.0208185i
\(188\) 2.11309 + 2.11309i 0.154113 + 0.154113i
\(189\) −12.1489 6.43457i −0.883704 0.468046i
\(190\) −8.07466 21.7885i −0.585797 1.58070i
\(191\) −7.94932 4.58954i −0.575193 0.332088i 0.184028 0.982921i \(-0.441086\pi\)
−0.759221 + 0.650833i \(0.774420\pi\)
\(192\) −5.59345 9.88521i −0.403673 0.713404i
\(193\) 6.85235 + 1.83608i 0.493243 + 0.132164i 0.496862 0.867829i \(-0.334485\pi\)
−0.00361952 + 0.999993i \(0.501152\pi\)
\(194\) 1.69748 2.94012i 0.121872 0.211088i
\(195\) −5.72431 15.8674i −0.409927 1.13629i
\(196\) 1.83943 + 0.774462i 0.131388 + 0.0553187i
\(197\) 12.5538 12.5538i 0.894420 0.894420i −0.100516 0.994935i \(-0.532049\pi\)
0.994935 + 0.100516i \(0.0320493\pi\)
\(198\) 4.02225 1.00330i 0.285849 0.0713014i
\(199\) −14.9099 + 8.60825i −1.05694 + 0.610222i −0.924583 0.380980i \(-0.875587\pi\)
−0.132353 + 0.991203i \(0.542253\pi\)
\(200\) 11.6825 5.61455i 0.826075 0.397008i
\(201\) −3.06913 11.8649i −0.216480 0.836887i
\(202\) 4.96543 + 4.96543i 0.349367 + 0.349367i
\(203\) 3.20471 6.45121i 0.224926 0.452786i
\(204\) −0.423816 + 0.416526i −0.0296731 + 0.0291626i
\(205\) 1.19343 + 1.68341i 0.0833531 + 0.117574i
\(206\) 13.7861 7.95943i 0.960526 0.554560i
\(207\) 1.61582 5.63724i 0.112308 0.391815i
\(208\) 5.06022 + 18.8850i 0.350863 + 1.30944i
\(209\) 6.28395 0.434670
\(210\) −9.23092 + 12.4389i −0.636994 + 0.858369i
\(211\) −9.75343 −0.671454 −0.335727 0.941959i \(-0.608982\pi\)
−0.335727 + 0.941959i \(0.608982\pi\)
\(212\) 0.813891 + 3.03748i 0.0558982 + 0.208615i
\(213\) 0.475757 + 0.840797i 0.0325983 + 0.0576105i
\(214\) −8.28303 + 4.78221i −0.566216 + 0.326905i
\(215\) 2.55325 14.9913i 0.174131 1.02240i
\(216\) −9.76943 + 9.27371i −0.664725 + 0.630996i
\(217\) 12.2358 0.766300i 0.830620 0.0520198i
\(218\) 9.21299 + 9.21299i 0.623982 + 0.623982i
\(219\) −3.65504 + 0.945459i −0.246985 + 0.0638882i
\(220\) −0.0541804 0.580261i −0.00365284 0.0391212i
\(221\) −4.53872 + 2.62043i −0.305307 + 0.176269i
\(222\) 1.81007 + 1.06609i 0.121484 + 0.0715512i
\(223\) 9.17286 9.17286i 0.614260 0.614260i −0.329793 0.944053i \(-0.606979\pi\)
0.944053 + 0.329793i \(0.106979\pi\)
\(224\) 2.80232 3.17678i 0.187238 0.212258i
\(225\) −9.57641 11.5452i −0.638427 0.769682i
\(226\) 7.95456 13.7777i 0.529129 0.916479i
\(227\) −23.2222 6.22238i −1.54131 0.412994i −0.614624 0.788820i \(-0.710692\pi\)
−0.926690 + 0.375826i \(0.877359\pi\)
\(228\) 2.95461 1.67184i 0.195674 0.110720i
\(229\) −2.82056 1.62845i −0.186388 0.107611i 0.403903 0.914802i \(-0.367653\pi\)
−0.590290 + 0.807191i \(0.700987\pi\)
\(230\) −6.00453 2.75741i −0.395927 0.181818i
\(231\) −2.28680 3.50974i −0.150460 0.230924i
\(232\) −4.99068 4.99068i −0.327654 0.327654i
\(233\) 16.1105 4.31679i 1.05543 0.282802i 0.310938 0.950430i \(-0.399357\pi\)
0.744495 + 0.667628i \(0.232690\pi\)
\(234\) 17.2742 9.57759i 1.12925 0.626107i
\(235\) 18.0411 + 14.9597i 1.17687 + 0.975864i
\(236\) −2.43967 1.40854i −0.158809 0.0916883i
\(237\) −5.24987 0.0455445i −0.341016 0.00295843i
\(238\) 4.31006 + 2.14107i 0.279380 + 0.138785i
\(239\) −15.1824 −0.982070 −0.491035 0.871140i \(-0.663381\pi\)
−0.491035 + 0.871140i \(0.663381\pi\)
\(240\) 9.93150 + 14.2697i 0.641075 + 0.921105i
\(241\) −0.0593822 0.102853i −0.00382515 0.00662535i 0.864106 0.503309i \(-0.167884\pi\)
−0.867932 + 0.496684i \(0.834551\pi\)
\(242\) −14.8416 3.97678i −0.954052 0.255637i
\(243\) 13.1493 + 8.37229i 0.843530 + 0.537082i
\(244\) 0.304473i 0.0194919i
\(245\) 14.9282 + 4.70637i 0.953725 + 0.300679i
\(246\) −1.72330 + 1.69365i −0.109873 + 0.107983i
\(247\) 28.9204 7.74921i 1.84016 0.493070i
\(248\) 3.10898 11.6029i 0.197420 0.736783i
\(249\) −5.62024 1.55832i −0.356168 0.0987544i
\(250\) −14.4864 + 8.70538i −0.916201 + 0.550577i
\(251\) 16.8255i 1.06202i −0.847367 0.531008i \(-0.821813\pi\)
0.847367 0.531008i \(-0.178187\pi\)
\(252\) −2.00898 1.04182i −0.126554 0.0656285i
\(253\) 1.26350 1.26350i 0.0794358 0.0794358i
\(254\) 4.73413 8.19975i 0.297046 0.514498i
\(255\) −3.00574 + 3.56152i −0.188227 + 0.223031i
\(256\) −3.35517 5.81133i −0.209698 0.363208i
\(257\) 3.60198 + 13.4428i 0.224686 + 0.838538i 0.982530 + 0.186103i \(0.0595858\pi\)
−0.757845 + 0.652435i \(0.773748\pi\)
\(258\) 17.8058 + 0.154472i 1.10854 + 0.00961699i
\(259\) 0.420170 2.08074i 0.0261081 0.129291i
\(260\) −0.964916 2.60371i −0.0598416 0.161475i
\(261\) −4.20602 + 7.00163i −0.260346 + 0.433390i
\(262\) −3.33074 + 12.4305i −0.205774 + 0.767958i
\(263\) −5.56707 + 20.7766i −0.343280 + 1.28114i 0.551328 + 0.834288i \(0.314121\pi\)
−0.894608 + 0.446851i \(0.852545\pi\)
\(264\) −3.97362 + 1.02787i −0.244559 + 0.0632607i
\(265\) 8.57007 + 23.1253i 0.526455 + 1.42057i
\(266\) −20.6182 18.1879i −1.26419 1.11517i
\(267\) −0.169706 + 19.5619i −0.0103859 + 1.19717i
\(268\) −0.522141 1.94866i −0.0318948 0.119033i
\(269\) 9.44119 + 16.3526i 0.575639 + 0.997036i 0.995972 + 0.0896663i \(0.0285801\pi\)
−0.420333 + 0.907370i \(0.638087\pi\)
\(270\) 11.5592 13.2241i 0.703470 0.804791i
\(271\) 1.85591 3.21453i 0.112739 0.195269i −0.804135 0.594447i \(-0.797371\pi\)
0.916874 + 0.399178i \(0.130704\pi\)
\(272\) 3.81947 3.81947i 0.231589 0.231589i
\(273\) −14.8526 13.3327i −0.898919 0.806934i
\(274\) 15.6193i 0.943597i
\(275\) −0.846153 4.49157i −0.0510249 0.270852i
\(276\) 0.257925 0.930232i 0.0155252 0.0559934i
\(277\) 1.95709 7.30397i 0.117590 0.438853i −0.881877 0.471479i \(-0.843720\pi\)
0.999468 + 0.0326260i \(0.0103870\pi\)
\(278\) 4.43225 1.18762i 0.265829 0.0712286i
\(279\) −13.8992 0.241178i −0.832122 0.0144390i
\(280\) 9.03224 12.3945i 0.539780 0.740712i
\(281\) 12.0546i 0.719117i 0.933122 + 0.359559i \(0.117073\pi\)
−0.933122 + 0.359559i \(0.882927\pi\)
\(282\) −13.9269 + 23.6460i −0.829335 + 1.40810i
\(283\) 23.1952 + 6.21514i 1.37881 + 0.369452i 0.870690 0.491833i \(-0.163673\pi\)
0.508123 + 0.861285i \(0.330340\pi\)
\(284\) 0.0795132 + 0.137721i 0.00471824 + 0.00817224i
\(285\) 21.8526 15.2091i 1.29444 0.900908i
\(286\) 6.01844 0.355878
\(287\) 2.18666 + 1.08625i 0.129074 + 0.0641190i
\(288\) −3.45489 + 3.33704i −0.203581 + 0.196637i
\(289\) −13.4685 7.77604i −0.792264 0.457414i
\(290\) 7.08424 + 5.87427i 0.416001 + 0.344949i
\(291\) 3.74850 + 1.03934i 0.219741 + 0.0609273i
\(292\) −0.600292 + 0.160848i −0.0351295 + 0.00941291i
\(293\) 12.2498 + 12.2498i 0.715644 + 0.715644i 0.967710 0.252066i \(-0.0811101\pi\)
−0.252066 + 0.967710i \(0.581110\pi\)
\(294\) −2.65518 + 18.1346i −0.154853 + 1.05763i
\(295\) −20.0775 9.22004i −1.16896 0.536812i
\(296\) −1.80122 1.03994i −0.104694 0.0604450i
\(297\) 2.26709 + 4.17392i 0.131550 + 0.242196i
\(298\) −18.8069 5.03930i −1.08946 0.291919i
\(299\) 4.25687 7.37311i 0.246181 0.426398i
\(300\) −1.59282 1.88674i −0.0919617 0.108931i
\(301\) −5.73428 17.0552i −0.330518 0.983045i
\(302\) 12.7187 12.7187i 0.731877 0.731877i
\(303\) −4.08328 + 6.93285i −0.234578 + 0.398282i
\(304\) −26.7243 + 15.4293i −1.53275 + 0.884931i
\(305\) 0.221995 + 2.37753i 0.0127114 + 0.136137i
\(306\) −4.67780 2.81005i −0.267412 0.160640i
\(307\) −12.5028 12.5028i −0.713571 0.713571i 0.253709 0.967280i \(-0.418349\pi\)
−0.967280 + 0.253709i \(0.918349\pi\)
\(308\) −0.381433 0.574459i −0.0217342 0.0327328i
\(309\) 12.7851 + 13.0088i 0.727317 + 0.740047i
\(310\) −2.62977 + 15.4406i −0.149361 + 0.876965i
\(311\) −20.2993 + 11.7198i −1.15107 + 0.664569i −0.949147 0.314833i \(-0.898051\pi\)
−0.201920 + 0.979402i \(0.564718\pi\)
\(312\) −17.0201 + 9.63067i −0.963574 + 0.545229i
\(313\) −2.74353 10.2390i −0.155073 0.578742i −0.999099 0.0424390i \(-0.986487\pi\)
0.844026 0.536303i \(-0.180179\pi\)
\(314\) −21.0309 −1.18684
\(315\) −16.4470 6.67046i −0.926686 0.375838i
\(316\) −0.864226 −0.0486165
\(317\) −5.31686 19.8428i −0.298625 1.11448i −0.938296 0.345834i \(-0.887596\pi\)
0.639671 0.768649i \(-0.279071\pi\)
\(318\) −25.1331 + 14.2213i −1.40939 + 0.797492i
\(319\) −2.15535 + 1.24439i −0.120676 + 0.0696724i
\(320\) −8.48037 11.9620i −0.474067 0.668698i
\(321\) −7.68156 7.81601i −0.428743 0.436247i
\(322\) −7.80269 + 0.488665i −0.434827 + 0.0272322i
\(323\) −5.84912 5.84912i −0.325454 0.325454i
\(324\) 2.17642 + 1.35935i 0.120912 + 0.0755196i
\(325\) −9.43311 19.6279i −0.523255 1.08876i
\(326\) 31.5421 18.2108i 1.74695 1.00860i
\(327\) −7.57622 + 12.8634i −0.418966 + 0.711347i
\(328\) 1.69160 1.69160i 0.0934032 0.0934032i
\(329\) 27.1819 + 5.48891i 1.49858 + 0.302613i
\(330\) 5.03423 1.81614i 0.277125 0.0999752i
\(331\) −15.9659 + 27.6537i −0.877564 + 1.51998i −0.0235570 + 0.999722i \(0.507499\pi\)
−0.854007 + 0.520262i \(0.825834\pi\)
\(332\) −0.927351 0.248483i −0.0508950 0.0136373i
\(333\) −0.663210 + 2.31379i −0.0363437 + 0.126795i
\(334\) −9.23562 5.33219i −0.505351 0.291764i
\(335\) −5.49802 14.8357i −0.300389 0.810561i
\(336\) 18.3429 + 9.31129i 1.00069 + 0.507973i
\(337\) 9.40161 + 9.40161i 0.512139 + 0.512139i 0.915181 0.403043i \(-0.132047\pi\)
−0.403043 + 0.915181i \(0.632047\pi\)
\(338\) 8.71650 2.33558i 0.474115 0.127039i
\(339\) 17.5659 + 4.87047i 0.954046 + 0.264527i
\(340\) −0.489678 + 0.590541i −0.0265565 + 0.0320266i
\(341\) −3.66830 2.11789i −0.198649 0.114690i
\(342\) 21.6584 + 22.4233i 1.17115 + 1.21251i
\(343\) 18.1952 3.45475i 0.982448 0.186539i
\(344\) −17.6300 −0.950546
\(345\) 1.33580 7.45193i 0.0719172 0.401199i
\(346\) −18.1891 31.5044i −0.977850 1.69369i
\(347\) 15.5354 + 4.16271i 0.833986 + 0.223466i 0.650452 0.759547i \(-0.274579\pi\)
0.183534 + 0.983013i \(0.441246\pi\)
\(348\) −0.682339 + 1.15852i −0.0365772 + 0.0621031i
\(349\) 9.21013i 0.493007i −0.969142 0.246503i \(-0.920718\pi\)
0.969142 0.246503i \(-0.0792817\pi\)
\(350\) −10.2238 + 17.1863i −0.546486 + 0.918647i
\(351\) 15.5809 + 16.4138i 0.831649 + 0.876104i
\(352\) −1.41373 + 0.378808i −0.0753521 + 0.0201905i
\(353\) −2.70409 + 10.0918i −0.143924 + 0.537133i 0.855876 + 0.517180i \(0.173018\pi\)
−0.999801 + 0.0199530i \(0.993648\pi\)
\(354\) 6.91210 24.9292i 0.367374 1.32497i
\(355\) 0.721307 + 1.01744i 0.0382830 + 0.0540003i
\(356\) 3.22025i 0.170673i
\(357\) −1.13832 + 5.39544i −0.0602461 + 0.285557i
\(358\) 5.47124 5.47124i 0.289164 0.289164i
\(359\) −0.770883 + 1.33521i −0.0406857 + 0.0704697i −0.885651 0.464351i \(-0.846288\pi\)
0.844965 + 0.534821i \(0.179621\pi\)
\(360\) −11.3306 + 13.1918i −0.597175 + 0.695268i
\(361\) 14.1284 + 24.4711i 0.743601 + 1.28795i
\(362\) −0.692602 2.58482i −0.0364023 0.135855i
\(363\) 0.152726 17.6046i 0.00801603 0.924001i
\(364\) −2.46387 2.17344i −0.129142 0.113919i
\(365\) −4.57021 + 1.69369i −0.239216 + 0.0886517i
\(366\) −2.70693 + 0.700207i −0.141493 + 0.0366004i
\(367\) 4.15004 15.4881i 0.216630 0.808475i −0.768956 0.639301i \(-0.779224\pi\)
0.985586 0.169173i \(-0.0541097\pi\)
\(368\) −2.27107 + 8.47576i −0.118388 + 0.441830i
\(369\) −2.37322 1.42564i −0.123545 0.0742161i
\(370\) 2.46454 + 1.13177i 0.128125 + 0.0588379i
\(371\) 21.8833 + 19.3038i 1.13612 + 1.00220i
\(372\) −2.28823 0.0198512i −0.118639 0.00102924i
\(373\) 7.26294 + 27.1057i 0.376061 + 1.40348i 0.851789 + 0.523885i \(0.175518\pi\)
−0.475728 + 0.879592i \(0.657815\pi\)
\(374\) −0.831378 1.43999i −0.0429895 0.0744600i
\(375\) −13.8135 13.5716i −0.713325 0.700834i
\(376\) 13.5853 23.5304i 0.700606 1.21349i
\(377\) −8.38493 + 8.38493i −0.431846 + 0.431846i
\(378\) 4.64222 20.2568i 0.238770 1.04190i
\(379\) 18.6208i 0.956485i 0.878228 + 0.478243i \(0.158726\pi\)
−0.878228 + 0.478243i \(0.841274\pi\)
\(380\) 3.57535 2.53471i 0.183412 0.130028i
\(381\) 10.4543 + 2.89864i 0.535588 + 0.148502i
\(382\) 3.59129 13.4029i 0.183746 0.685750i
\(383\) 15.6655 4.19755i 0.800469 0.214485i 0.164679 0.986347i \(-0.447341\pi\)
0.635790 + 0.771862i \(0.280674\pi\)
\(384\) 16.2013 15.9226i 0.826768 0.812546i
\(385\) −3.39733 4.20765i −0.173144 0.214442i
\(386\) 10.7238i 0.545828i
\(387\) 4.93787 + 19.7960i 0.251006 + 1.00629i
\(388\) 0.618510 + 0.165729i 0.0314001 + 0.00841362i
\(389\) −16.7445 29.0023i −0.848980 1.47048i −0.882120 0.471025i \(-0.843884\pi\)
0.0331402 0.999451i \(-0.489449\pi\)
\(390\) 20.9293 14.5664i 1.05979 0.737601i
\(391\) −2.35215 −0.118953
\(392\) 2.47300 17.9769i 0.124906 0.907973i
\(393\) −14.7447 0.127915i −0.743769 0.00645246i
\(394\) 23.2420 + 13.4188i 1.17092 + 0.676029i
\(395\) −6.74845 + 0.630119i −0.339552 + 0.0317047i
\(396\) 0.379138 + 0.683816i 0.0190524 + 0.0343631i
\(397\) −10.2680 + 2.75129i −0.515335 + 0.138084i −0.507108 0.861883i \(-0.669285\pi\)
−0.00822688 + 0.999966i \(0.502619\pi\)
\(398\) −18.4028 18.4028i −0.922449 0.922449i
\(399\) 14.2593 28.0903i 0.713858 1.40627i
\(400\) 14.6269 + 17.0241i 0.731344 + 0.851204i
\(401\) 33.3226 + 19.2388i 1.66405 + 0.960741i 0.970749 + 0.240096i \(0.0771788\pi\)
0.693304 + 0.720646i \(0.256155\pi\)
\(402\) 16.1238 9.12350i 0.804182 0.455039i
\(403\) −19.4942 5.22346i −0.971076 0.260199i
\(404\) −0.662233 + 1.14702i −0.0329473 + 0.0570664i
\(405\) 17.9860 + 9.02788i 0.893733 + 0.448599i
\(406\) 10.6736 + 2.15535i 0.529721 + 0.106968i
\(407\) −0.518601 + 0.518601i −0.0257061 + 0.0257061i
\(408\) 4.65539 + 2.74191i 0.230476 + 0.135745i
\(409\) 0.838832 0.484300i 0.0414776 0.0239471i −0.479118 0.877751i \(-0.659043\pi\)
0.520595 + 0.853804i \(0.325710\pi\)
\(410\) −1.99110 + 2.40122i −0.0983335 + 0.118588i
\(411\) −17.3262 + 4.48182i −0.854640 + 0.221072i
\(412\) 2.12308 + 2.12308i 0.104597 + 0.104597i
\(413\) −26.0901 + 1.63396i −1.28381 + 0.0804021i
\(414\) 8.86342 + 0.153798i 0.435613 + 0.00755876i
\(415\) −7.42255 1.26418i −0.364359 0.0620560i
\(416\) −6.03923 + 3.48675i −0.296098 + 0.170952i
\(417\) 2.58920 + 4.57584i 0.126794 + 0.224080i
\(418\) 2.45857 + 9.17553i 0.120253 + 0.448790i
\(419\) −24.3482 −1.18949 −0.594743 0.803916i \(-0.702746\pi\)
−0.594743 + 0.803916i \(0.702746\pi\)
\(420\) −2.71681 1.07451i −0.132567 0.0524308i
\(421\) 1.75923 0.0857395 0.0428698 0.999081i \(-0.486350\pi\)
0.0428698 + 0.999081i \(0.486350\pi\)
\(422\) −3.81600 14.2415i −0.185760 0.693265i
\(423\) −30.2263 8.66388i −1.46965 0.421252i
\(424\) 24.7609 14.2957i 1.20249 0.694261i
\(425\) −3.39316 + 4.96837i −0.164593 + 0.241001i
\(426\) −1.04155 + 1.02364i −0.0504634 + 0.0495954i
\(427\) 1.56286 + 2.35375i 0.0756322 + 0.113906i
\(428\) −1.27559 1.27559i −0.0616581 0.0616581i
\(429\) 1.72694 + 6.67615i 0.0833773 + 0.322327i
\(430\) 22.8885 2.13716i 1.10378 0.103063i
\(431\) −18.5687 + 10.7206i −0.894422 + 0.516395i −0.875386 0.483424i \(-0.839393\pi\)
−0.0190357 + 0.999819i \(0.506060\pi\)
\(432\) −19.8899 12.1843i −0.956954 0.586219i
\(433\) −26.8036 + 26.8036i −1.28810 + 1.28810i −0.352161 + 0.935940i \(0.614553\pi\)
−0.935940 + 0.352161i \(0.885447\pi\)
\(434\) 5.90612 + 17.5663i 0.283503 + 0.843209i
\(435\) −4.48347 + 9.54399i −0.214966 + 0.457599i
\(436\) −1.22872 + 2.12821i −0.0588452 + 0.101923i
\(437\) 12.9798 + 3.47792i 0.620907 + 0.166371i
\(438\) −2.81054 4.96701i −0.134293 0.237333i
\(439\) 2.05458 + 1.18621i 0.0980598 + 0.0566149i 0.548228 0.836329i \(-0.315303\pi\)
−0.450168 + 0.892944i \(0.648636\pi\)
\(440\) −4.96855 + 1.84131i −0.236866 + 0.0877810i
\(441\) −20.8782 + 2.25820i −0.994201 + 0.107534i
\(442\) −5.60198 5.60198i −0.266459 0.266459i
\(443\) 21.0154 5.63107i 0.998473 0.267540i 0.277668 0.960677i \(-0.410439\pi\)
0.720806 + 0.693137i \(0.243772\pi\)
\(444\) −0.105864 + 0.381811i −0.00502410 + 0.0181199i
\(445\) 2.34793 + 25.1459i 0.111303 + 1.19203i
\(446\) 16.9826 + 9.80492i 0.804150 + 0.464276i
\(447\) 0.193531 22.3082i 0.00915372 1.05514i
\(448\) −15.5381 7.71870i −0.734104 0.364674i
\(449\) 28.8886 1.36334 0.681669 0.731661i \(-0.261254\pi\)
0.681669 + 0.731661i \(0.261254\pi\)
\(450\) 13.1111 18.5000i 0.618061 0.872100i
\(451\) −0.421789 0.730561i −0.0198613 0.0344008i
\(452\) 2.89840 + 0.776625i 0.136329 + 0.0365293i
\(453\) 17.7581 + 10.4591i 0.834348 + 0.491411i
\(454\) 36.3425i 1.70564i
\(455\) −20.8242 15.1752i −0.976253 0.711427i
\(456\) −21.6355 22.0141i −1.01317 1.03091i
\(457\) 1.89885 0.508794i 0.0888242 0.0238004i −0.214133 0.976804i \(-0.568693\pi\)
0.302957 + 0.953004i \(0.402026\pi\)
\(458\) 1.27425 4.75557i 0.0595419 0.222213i
\(459\) 1.77489 5.99532i 0.0828446 0.279838i
\(460\) 0.209240 1.22854i 0.00975586 0.0572810i
\(461\) 17.4281i 0.811709i −0.913938 0.405854i \(-0.866974\pi\)
0.913938 0.405854i \(-0.133026\pi\)
\(462\) 4.23005 4.71225i 0.196800 0.219234i
\(463\) 14.8405 14.8405i 0.689698 0.689698i −0.272467 0.962165i \(-0.587840\pi\)
0.962165 + 0.272467i \(0.0878395\pi\)
\(464\) 6.11082 10.5843i 0.283688 0.491362i
\(465\) −17.8825 + 1.51337i −0.829283 + 0.0701809i
\(466\) 12.6063 + 21.8348i 0.583977 + 1.01148i
\(467\) 3.26272 + 12.1766i 0.150981 + 0.563468i 0.999416 + 0.0341687i \(0.0108784\pi\)
−0.848435 + 0.529299i \(0.822455\pi\)
\(468\) 2.58816 + 2.67956i 0.119638 + 0.123863i
\(469\) −14.0389 12.3841i −0.648257 0.571845i
\(470\) −14.7849 + 32.1956i −0.681978 + 1.48507i
\(471\) −6.03462 23.3292i −0.278061 1.07495i
\(472\) −6.62921 + 24.7405i −0.305134 + 1.13878i
\(473\) −1.60902 + 6.00493i −0.0739827 + 0.276107i
\(474\) −1.98749 7.68343i −0.0912885 0.352911i
\(475\) 26.0707 22.3996i 1.19620 1.02776i
\(476\) −0.179669 + 0.889748i −0.00823512 + 0.0407815i
\(477\) −22.9872 23.7990i −1.05251 1.08968i
\(478\) −5.94008 22.1687i −0.271693 1.01397i
\(479\) −5.14393 8.90955i −0.235032 0.407088i 0.724250 0.689538i \(-0.242186\pi\)
−0.959282 + 0.282450i \(0.908853\pi\)
\(480\) −3.99945 + 4.73897i −0.182549 + 0.216304i
\(481\) −1.74722 + 3.02627i −0.0796662 + 0.137986i
\(482\) 0.126948 0.126948i 0.00578232 0.00578232i
\(483\) −2.78098 8.51517i −0.126539 0.387454i
\(484\) 2.89804i 0.131729i
\(485\) 4.95057 + 0.843160i 0.224794 + 0.0382859i
\(486\) −7.08018 + 22.4756i −0.321163 + 1.01952i
\(487\) 4.82573 18.0099i 0.218675 0.816105i −0.766166 0.642643i \(-0.777838\pi\)
0.984841 0.173462i \(-0.0554954\pi\)
\(488\) 2.67398 0.716491i 0.121045 0.0324340i
\(489\) 29.2517 + 29.7637i 1.32281 + 1.34596i
\(490\) −1.03142 + 23.6387i −0.0465947 + 1.06789i
\(491\) 24.6940i 1.11442i −0.830370 0.557212i \(-0.811871\pi\)
0.830370 0.557212i \(-0.188129\pi\)
\(492\) −0.392683 0.231281i −0.0177035 0.0104269i
\(493\) 3.16448 + 0.847921i 0.142521 + 0.0381884i
\(494\) 22.6300 + 39.1964i 1.01817 + 1.76353i
\(495\) 3.45914 + 5.06326i 0.155477 + 0.227577i
\(496\) 20.8007 0.933977
\(497\) 1.32161 + 0.656522i 0.0592821 + 0.0294490i
\(498\) 0.0764827 8.81609i 0.00342727 0.395058i
\(499\) −11.1524 6.43883i −0.499249 0.288242i 0.229154 0.973390i \(-0.426404\pi\)
−0.728403 + 0.685148i \(0.759737\pi\)
\(500\) −2.29316 2.21424i −0.102553 0.0990239i
\(501\) 3.26482 11.7749i 0.145862 0.526065i
\(502\) 24.5678 6.58292i 1.09651 0.293810i
\(503\) 2.81929 + 2.81929i 0.125706 + 0.125706i 0.767161 0.641455i \(-0.221669\pi\)
−0.641455 + 0.767161i \(0.721669\pi\)
\(504\) −4.42205 + 20.0951i −0.196974 + 0.895107i
\(505\) −4.33485 + 9.43955i −0.192898 + 0.420055i
\(506\) 2.33925 + 1.35057i 0.103992 + 0.0600400i
\(507\) 5.09194 + 8.99888i 0.226141 + 0.399654i
\(508\) 1.72497 + 0.462205i 0.0765333 + 0.0205070i
\(509\) −20.2795 + 35.1250i −0.898871 + 1.55689i −0.0699315 + 0.997552i \(0.522278\pi\)
−0.828939 + 0.559338i \(0.811055\pi\)
\(510\) −6.37635 2.99541i −0.282349 0.132639i
\(511\) −3.81498 + 4.32475i −0.168765 + 0.191316i
\(512\) −11.3747 + 11.3747i −0.502695 + 0.502695i
\(513\) −18.6591 + 30.4594i −0.823818 + 1.34481i
\(514\) −18.2192 + 10.5189i −0.803616 + 0.463968i
\(515\) 18.1264 + 15.0304i 0.798743 + 0.662321i
\(516\) 0.841073 + 3.25150i 0.0370262 + 0.143139i
\(517\) −6.77477 6.77477i −0.297954 0.297954i
\(518\) 3.20259 0.200571i 0.140714 0.00881258i
\(519\) 29.7281 29.2167i 1.30492 1.28247i
\(520\) −20.5959 + 14.6013i −0.903191 + 0.640309i
\(521\) −13.7175 + 7.91980i −0.600974 + 0.346973i −0.769425 0.638738i \(-0.779457\pi\)
0.168451 + 0.985710i \(0.446124\pi\)
\(522\) −11.8690 3.40207i −0.519494 0.148905i
\(523\) 3.48603 + 13.0100i 0.152433 + 0.568889i 0.999311 + 0.0371021i \(0.0118127\pi\)
−0.846878 + 0.531787i \(0.821521\pi\)
\(524\) −2.42724 −0.106035
\(525\) −21.9981 6.40964i −0.960076 0.279740i
\(526\) −32.5151 −1.41772
\(527\) 1.44312 + 5.38580i 0.0628633 + 0.234609i
\(528\) −3.50013 6.18571i −0.152323 0.269198i
\(529\) −16.6095 + 9.58948i −0.722151 + 0.416934i
\(530\) −30.4134 + 21.5613i −1.32107 + 0.936562i
\(531\) 29.6369 + 0.514259i 1.28613 + 0.0223170i
\(532\) 2.30706 4.64420i 0.100024 0.201352i
\(533\) −2.84210 2.84210i −0.123105 0.123105i
\(534\) −28.6298 + 7.40573i −1.23893 + 0.320477i
\(535\) −10.8907 9.03063i −0.470848 0.390428i
\(536\) −15.8850 + 9.17122i −0.686128 + 0.396136i
\(537\) 7.63908 + 4.49923i 0.329650 + 0.194156i
\(538\) −20.1835 + 20.1835i −0.870171 + 0.870171i
\(539\) −5.89740 2.48301i −0.254019 0.106951i
\(540\) 2.97350 + 1.46036i 0.127959 + 0.0628439i
\(541\) 15.9766 27.6722i 0.686887 1.18972i −0.285953 0.958244i \(-0.592310\pi\)
0.972840 0.231479i \(-0.0743565\pi\)
\(542\) 5.41983 + 1.45224i 0.232801 + 0.0623790i
\(543\) 2.66856 1.50998i 0.114519 0.0647996i
\(544\) 1.66850 + 0.963310i 0.0715364 + 0.0413016i
\(545\) −8.04299 + 17.5144i −0.344524 + 0.750234i
\(546\) 13.6568 26.9034i 0.584457 1.15136i
\(547\) 24.7307 + 24.7307i 1.05741 + 1.05741i 0.998249 + 0.0591593i \(0.0188420\pi\)
0.0591593 + 0.998249i \(0.481158\pi\)
\(548\) −2.84560 + 0.762477i −0.121558 + 0.0325714i
\(549\) −1.55346 2.80183i −0.0662999 0.119579i
\(550\) 6.22731 2.99282i 0.265534 0.127614i
\(551\) −16.2087 9.35811i −0.690515 0.398669i
\(552\) −8.77655 0.0761397i −0.373555 0.00324072i
\(553\) −6.68097 + 4.43608i −0.284104 + 0.188641i
\(554\) 11.4306 0.485640
\(555\) −0.548276 + 3.05862i −0.0232730 + 0.129831i
\(556\) 0.432732 + 0.749514i 0.0183519 + 0.0317865i
\(557\) 3.74061 + 1.00229i 0.158495 + 0.0424686i 0.337194 0.941435i \(-0.390522\pi\)
−0.178699 + 0.983904i \(0.557189\pi\)
\(558\) −5.08584 20.3893i −0.215301 0.863146i
\(559\) 29.6205i 1.25281i
\(560\) 24.7794 + 9.55263i 1.04712 + 0.403672i
\(561\) 1.35880 1.33542i 0.0573685 0.0563817i
\(562\) −17.6016 + 4.71632i −0.742477 + 0.198946i
\(563\) 9.46140 35.3104i 0.398751 1.48816i −0.416547 0.909114i \(-0.636760\pi\)
0.815297 0.579043i \(-0.196574\pi\)
\(564\) −4.98780 1.38296i −0.210024 0.0582333i
\(565\) 23.1989 + 3.95114i 0.975986 + 0.166226i
\(566\) 36.3002i 1.52581i
\(567\) 23.8025 0.662966i 0.999612 0.0278419i
\(568\) 1.02240 1.02240i 0.0428989 0.0428989i
\(569\) 8.11965 14.0636i 0.340393 0.589579i −0.644112 0.764931i \(-0.722773\pi\)
0.984506 + 0.175352i \(0.0561064\pi\)
\(570\) 30.7573 + 25.9576i 1.28828 + 1.08725i
\(571\) −20.1402 34.8839i −0.842843 1.45985i −0.887481 0.460844i \(-0.847547\pi\)
0.0446382 0.999003i \(-0.485786\pi\)
\(572\) 0.293798 + 1.09647i 0.0122843 + 0.0458457i
\(573\) 15.8980 + 0.137921i 0.664151 + 0.00576174i
\(574\) −0.730561 + 3.61784i −0.0304930 + 0.151006i
\(575\) 0.738139 9.74583i 0.0307825 0.406429i
\(576\) 16.8638 + 10.1304i 0.702657 + 0.422101i
\(577\) 4.47305 16.6936i 0.186215 0.694965i −0.808152 0.588974i \(-0.799532\pi\)
0.994367 0.105991i \(-0.0338014\pi\)
\(578\) 6.08469 22.7084i 0.253090 0.944544i
\(579\) −11.8958 + 3.07710i −0.494371 + 0.127880i
\(580\) −0.724378 + 1.57740i −0.0300781 + 0.0654980i
\(581\) −8.44443 + 2.83918i −0.350334 + 0.117789i
\(582\) −0.0510111 + 5.88001i −0.00211448 + 0.243734i
\(583\) −2.60942 9.73848i −0.108071 0.403327i
\(584\) 2.82524 + 4.89345i 0.116909 + 0.202492i
\(585\) 22.1638 + 19.0368i 0.916359 + 0.787073i
\(586\) −13.0939 + 22.6793i −0.540905 + 0.936875i
\(587\) 0.596922 0.596922i 0.0246376 0.0246376i −0.694681 0.719318i \(-0.744454\pi\)
0.719318 + 0.694681i \(0.244454\pi\)
\(588\) −3.43346 + 0.401529i −0.141594 + 0.0165588i
\(589\) 31.8541i 1.31253i
\(590\) 5.60740 32.9236i 0.230853 1.35544i
\(591\) −8.21615 + 29.6324i −0.337967 + 1.21891i
\(592\) 0.932155 3.47885i 0.0383113 0.142980i
\(593\) −9.06443 + 2.42881i −0.372232 + 0.0997391i −0.440085 0.897956i \(-0.645052\pi\)
0.0678534 + 0.997695i \(0.478385\pi\)
\(594\) −5.20757 + 4.94333i −0.213669 + 0.202827i
\(595\) −0.754250 + 7.07874i −0.0309212 + 0.290200i
\(596\) 3.67234i 0.150425i
\(597\) 15.1334 25.6944i 0.619368 1.05160i
\(598\) 12.4313 + 3.33097i 0.508355 + 0.136213i
\(599\) 3.14342 + 5.44456i 0.128437 + 0.222459i 0.923071 0.384629i \(-0.125671\pi\)
−0.794634 + 0.607088i \(0.792337\pi\)
\(600\) −12.8217 + 18.4286i −0.523444 + 0.752344i
\(601\) 9.39584 0.383264 0.191632 0.981467i \(-0.438622\pi\)
0.191632 + 0.981467i \(0.438622\pi\)
\(602\) 22.6597 15.0457i 0.923539 0.613217i
\(603\) 14.7471 + 15.2679i 0.600549 + 0.621759i
\(604\) 2.93803 + 1.69627i 0.119547 + 0.0690203i
\(605\) −2.11300 22.6298i −0.0859057 0.920034i
\(606\) −11.7206 3.24976i −0.476116 0.132012i
\(607\) −13.6778 + 3.66495i −0.555164 + 0.148756i −0.525484 0.850804i \(-0.676116\pi\)
−0.0296803 + 0.999559i \(0.509449\pi\)
\(608\) −7.78287 7.78287i −0.315637 0.315637i
\(609\) 0.671800 + 12.4585i 0.0272227 + 0.504843i
\(610\) −3.38470 + 1.25435i −0.137042 + 0.0507870i
\(611\) −39.5338 22.8248i −1.59937 0.923395i
\(612\) 0.283596 0.989401i 0.0114637 0.0399942i
\(613\) 4.19289 + 1.12348i 0.169349 + 0.0453770i 0.342497 0.939519i \(-0.388727\pi\)
−0.173148 + 0.984896i \(0.555394\pi\)
\(614\) 13.3643 23.1476i 0.539339 0.934162i
\(615\) −3.23496 1.51968i −0.130446 0.0612796i
\(616\) −4.14749 + 4.70170i −0.167107 + 0.189437i
\(617\) 3.80377 3.80377i 0.153134 0.153134i −0.626382 0.779516i \(-0.715465\pi\)
0.779516 + 0.626382i \(0.215465\pi\)
\(618\) −13.9928 + 23.7578i −0.562872 + 0.955679i
\(619\) 18.8856 10.9036i 0.759075 0.438252i −0.0698884 0.997555i \(-0.522264\pi\)
0.828964 + 0.559303i \(0.188931\pi\)
\(620\) −2.94141 + 0.274647i −0.118130 + 0.0110301i
\(621\) 2.37267 + 9.87616i 0.0952120 + 0.396317i
\(622\) −25.0547 25.0547i −1.00460 1.00460i
\(623\) 16.5296 + 24.8944i 0.662243 + 0.997375i
\(624\) −23.7366 24.1520i −0.950224 0.966855i
\(625\) −19.5210 15.6183i −0.780839 0.624732i
\(626\) 13.8771 8.01194i 0.554640 0.320221i
\(627\) −9.47279 + 5.36009i −0.378307 + 0.214061i
\(628\) −1.02665 3.83151i −0.0409678 0.152894i
\(629\) 0.965431 0.0384943
\(630\) 3.30504 26.6250i 0.131676 1.06076i
\(631\) 8.91815 0.355026 0.177513 0.984118i \(-0.443195\pi\)
0.177513 + 0.984118i \(0.443195\pi\)
\(632\) 2.03371 + 7.58991i 0.0808967 + 0.301911i
\(633\) 14.7029 8.31949i 0.584387 0.330670i
\(634\) 26.8933 15.5268i 1.06807 0.616650i
\(635\) 13.8067 + 2.35151i 0.547904 + 0.0933167i
\(636\) −3.81782 3.88464i −0.151386 0.154036i
\(637\) −30.2034 4.15494i −1.19670 0.164625i
\(638\) −2.66027 2.66027i −0.105321 0.105321i
\(639\) −1.43437 0.861653i −0.0567427 0.0340865i
\(640\) 18.7190 22.5747i 0.739933 0.892343i
\(641\) 33.8421 19.5388i 1.33668 0.771735i 0.350370 0.936611i \(-0.386056\pi\)
0.986314 + 0.164876i \(0.0527224\pi\)
\(642\) 8.40717 14.2742i 0.331805 0.563359i
\(643\) 10.9666 10.9666i 0.432481 0.432481i −0.456991 0.889471i \(-0.651073\pi\)
0.889471 + 0.456991i \(0.151073\pi\)
\(644\) −0.469926 1.39768i −0.0185177 0.0550762i
\(645\) 8.93837 + 24.7766i 0.351948 + 0.975578i
\(646\) 6.25216 10.8291i 0.245988 0.426064i
\(647\) −13.9465 3.73697i −0.548295 0.146915i −0.0259718 0.999663i \(-0.508268\pi\)
−0.522324 + 0.852747i \(0.674935\pi\)
\(648\) 6.81669 22.3128i 0.267785 0.876531i
\(649\) 7.82182 + 4.51593i 0.307033 + 0.177266i
\(650\) 24.9691 21.4531i 0.979369 0.841461i
\(651\) −17.7913 + 11.5921i −0.697295 + 0.454328i
\(652\) 4.85751 + 4.85751i 0.190235 + 0.190235i
\(653\) −16.9064 + 4.53005i −0.661597 + 0.177274i −0.573967 0.818879i \(-0.694596\pi\)
−0.0876304 + 0.996153i \(0.527929\pi\)
\(654\) −21.7467 6.02968i −0.850362 0.235779i
\(655\) −18.9535 + 1.76974i −0.740576 + 0.0691493i
\(656\) 3.58756 + 2.07128i 0.140071 + 0.0808699i
\(657\) 4.70336 4.54292i 0.183496 0.177236i
\(658\) 2.62017 + 41.8372i 0.102145 + 1.63098i
\(659\) 7.49888 0.292115 0.146057 0.989276i \(-0.453342\pi\)
0.146057 + 0.989276i \(0.453342\pi\)
\(660\) 0.576626 + 0.828504i 0.0224451 + 0.0322495i
\(661\) 12.8552 + 22.2658i 0.500008 + 0.866038i 1.00000 8.71032e-6i \(2.77258e-6\pi\)
−0.499992 + 0.866030i \(0.666664\pi\)
\(662\) −46.6252 12.4932i −1.81214 0.485561i
\(663\) 4.60674 7.82162i 0.178911 0.303766i
\(664\) 8.72904i 0.338752i
\(665\) 14.6289 37.9471i 0.567284 1.47153i
\(666\) −3.63796 0.0631259i −0.140968 0.00244608i
\(667\) −5.14068 + 1.37744i −0.199048 + 0.0533347i
\(668\) 0.520595 1.94289i 0.0201424 0.0751726i
\(669\) −6.00342 + 21.6519i −0.232105 + 0.837113i
\(670\) 19.5113 13.8324i 0.753787 0.534391i
\(671\) 0.976172i 0.0376847i
\(672\) −1.51465 + 7.17919i −0.0584289 + 0.276943i
\(673\) 9.04384 9.04384i 0.348614 0.348614i −0.510979 0.859593i \(-0.670717\pi\)
0.859593 + 0.510979i \(0.170717\pi\)
\(674\) −10.0494 + 17.4061i −0.387090 + 0.670459i
\(675\) 24.2839 + 9.23544i 0.934687 + 0.355472i
\(676\) 0.851014 + 1.47400i 0.0327313 + 0.0566923i
\(677\) −8.83924 32.9885i −0.339719 1.26785i −0.898661 0.438643i \(-0.855459\pi\)
0.558942 0.829207i \(-0.311208\pi\)
\(678\) −0.239044 + 27.5544i −0.00918042 + 1.05822i
\(679\) 5.63213 1.89363i 0.216141 0.0726708i
\(680\) 6.33864 + 2.91084i 0.243076 + 0.111626i
\(681\) 40.3141 10.4281i 1.54484 0.399608i
\(682\) 1.65724 6.18489i 0.0634588 0.236832i
\(683\) −6.18479 + 23.0820i −0.236654 + 0.883206i 0.740742 + 0.671790i \(0.234474\pi\)
−0.977396 + 0.211416i \(0.932192\pi\)
\(684\) −3.02790 + 5.04045i −0.115775 + 0.192726i
\(685\) −21.6644 + 8.02870i −0.827756 + 0.306761i
\(686\) 12.1633 + 25.2161i 0.464396 + 0.962754i
\(687\) 5.64091 + 0.0489368i 0.215214 + 0.00186706i
\(688\) −7.90140 29.4884i −0.301238 1.12424i
\(689\) −24.0185 41.6012i −0.915031 1.58488i
\(690\) 11.4036 0.965067i 0.434127 0.0367395i
\(691\) −10.0976 + 17.4895i −0.384129 + 0.665332i −0.991648 0.128974i \(-0.958832\pi\)
0.607519 + 0.794305i \(0.292165\pi\)
\(692\) 4.85170 4.85170i 0.184434 0.184434i
\(693\) 6.44099 + 3.34018i 0.244673 + 0.126883i
\(694\) 24.3128i 0.922899i
\(695\) 3.92554 + 5.53720i 0.148904 + 0.210038i
\(696\) 11.7802 + 3.26628i 0.446526 + 0.123808i
\(697\) −0.287405 + 1.07261i −0.0108863 + 0.0406281i
\(698\) 13.4482 3.60343i 0.509021 0.136392i
\(699\) −20.6037 + 20.2493i −0.779304 + 0.765899i
\(700\) −3.63018 1.02365i −0.137208 0.0386905i
\(701\) 49.4540i 1.86785i −0.357467 0.933926i \(-0.616360\pi\)
0.357467 0.933926i \(-0.383640\pi\)
\(702\) −17.8707 + 29.1724i −0.674485 + 1.10104i
\(703\) −5.32750 1.42750i −0.200931 0.0538392i
\(704\) 2.99717 + 5.19126i 0.112960 + 0.195653i
\(705\) −39.9565 7.16243i −1.50485 0.269753i
\(706\) −15.7936 −0.594398
\(707\) 0.768217 + 12.2664i 0.0288918 + 0.461325i
\(708\) 4.87915 + 0.0423283i 0.183370 + 0.00159080i
\(709\) 33.9663 + 19.6105i 1.27563 + 0.736486i 0.976042 0.217582i \(-0.0698170\pi\)
0.299589 + 0.954068i \(0.403150\pi\)
\(710\) −1.20341 + 1.45129i −0.0451633 + 0.0544659i
\(711\) 7.95280 4.40938i 0.298253 0.165365i
\(712\) 28.2813 7.57795i 1.05989 0.283996i
\(713\) −6.40485 6.40485i −0.239864 0.239864i
\(714\) −8.32352 + 0.448830i −0.311500 + 0.0167970i
\(715\) 3.09362 + 8.34775i 0.115695 + 0.312188i
\(716\) 1.26386 + 0.729692i 0.0472328 + 0.0272699i
\(717\) 22.8869 12.9503i 0.854726 0.483639i
\(718\) −2.25121 0.603211i −0.0840145 0.0225116i
\(719\) −0.965960 + 1.67309i −0.0360242 + 0.0623958i −0.883475 0.468478i \(-0.844803\pi\)
0.847451 + 0.530873i \(0.178136\pi\)
\(720\) −27.1431 13.0396i −1.01156 0.485957i
\(721\) 27.3104 + 5.51486i 1.01709 + 0.205384i
\(722\) −30.2039 + 30.2039i −1.12407 + 1.12407i
\(723\) 0.177248 + 0.104395i 0.00659191 + 0.00388248i
\(724\) 0.437106 0.252363i 0.0162449 0.00937901i
\(725\) −4.50632 + 12.8456i −0.167360 + 0.477072i
\(726\) 25.7651 6.66473i 0.956233 0.247351i
\(727\) 15.8726 + 15.8726i 0.588684 + 0.588684i 0.937275 0.348591i \(-0.113340\pi\)
−0.348591 + 0.937275i \(0.613340\pi\)
\(728\) −13.2899 + 26.7530i −0.492555 + 0.991534i
\(729\) −26.9634 1.40474i −0.998646 0.0520273i
\(730\) −4.26112 6.01055i −0.157711 0.222460i
\(731\) 7.08709 4.09173i 0.262125 0.151338i
\(732\) −0.259709 0.458980i −0.00959914 0.0169644i
\(733\) −11.2567 42.0106i −0.415776 1.55170i −0.783277 0.621673i \(-0.786453\pi\)
0.367502 0.930023i \(-0.380213\pi\)
\(734\) 24.2387 0.894668
\(735\) −26.5180 + 5.63879i −0.978131 + 0.207990i
\(736\) −3.12978 −0.115365
\(737\) 1.67404 + 6.24759i 0.0616640 + 0.230133i
\(738\) 1.15314 4.02305i 0.0424477 0.148090i
\(739\) −23.4387 + 13.5324i −0.862208 + 0.497796i −0.864751 0.502201i \(-0.832524\pi\)
0.00254291 + 0.999997i \(0.499191\pi\)
\(740\) −0.0858818 + 0.504251i −0.00315708 + 0.0185366i
\(741\) −36.9864 + 36.3502i −1.35873 + 1.33536i
\(742\) −19.6247 + 39.5054i −0.720447 + 1.45029i
\(743\) −2.20467 2.20467i −0.0808816 0.0808816i 0.665509 0.746390i \(-0.268215\pi\)
−0.746390 + 0.665509i \(0.768215\pi\)
\(744\) 5.21037 + 20.1427i 0.191021 + 0.738468i
\(745\) −2.67755 28.6761i −0.0980980 1.05061i
\(746\) −36.7368 + 21.2100i −1.34503 + 0.776553i
\(747\) 9.80148 2.44486i 0.358617 0.0894526i
\(748\) 0.221760 0.221760i 0.00810833 0.00810833i
\(749\) −16.4087 3.31346i −0.599561 0.121071i
\(750\) 14.4121 25.4796i 0.526256 0.930384i
\(751\) −11.9640 + 20.7223i −0.436574 + 0.756168i −0.997423 0.0717501i \(-0.977142\pi\)
0.560849 + 0.827918i \(0.310475\pi\)
\(752\) 45.4461 + 12.1773i 1.65725 + 0.444059i
\(753\) 14.3518 + 25.3637i 0.523009 + 0.924305i
\(754\) −15.5238 8.96270i −0.565345 0.326402i
\(755\) 24.1789 + 11.1035i 0.879959 + 0.404096i
\(756\) 3.91710 0.143119i 0.142463 0.00520517i
\(757\) 34.0440 + 34.0440i 1.23735 + 1.23735i 0.961081 + 0.276268i \(0.0890977\pi\)
0.276268 + 0.961081i \(0.410902\pi\)
\(758\) −27.1892 + 7.28531i −0.987555 + 0.264615i
\(759\) −0.826933 + 2.98242i −0.0300158 + 0.108255i
\(760\) −30.6743 25.4352i −1.11267 0.922631i
\(761\) 5.74841 + 3.31885i 0.208380