Properties

Label 273.2.r.b.68.17
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.17
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.16

$q$-expansion

\(f(q)\) \(=\) \(q+0.0504397i q^{2} +(0.667082 - 1.59844i) q^{3} +1.99746 q^{4} +(1.19579 - 2.07117i) q^{5} +(0.0806247 + 0.0336474i) q^{6} +(0.00656452 + 2.64574i) q^{7} +0.201631i q^{8} +(-2.11000 - 2.13258i) q^{9} +O(q^{10})\) \(q+0.0504397i q^{2} +(0.667082 - 1.59844i) q^{3} +1.99746 q^{4} +(1.19579 - 2.07117i) q^{5} +(0.0806247 + 0.0336474i) q^{6} +(0.00656452 + 2.64574i) q^{7} +0.201631i q^{8} +(-2.11000 - 2.13258i) q^{9} +(0.104469 + 0.0603154i) q^{10} +(2.85650 + 1.64920i) q^{11} +(1.33247 - 3.19281i) q^{12} +(-3.26013 + 1.53997i) q^{13} +(-0.133451 + 0.000331113i) q^{14} +(-2.51294 - 3.29304i) q^{15} +3.98474 q^{16} -6.34997 q^{17} +(0.107567 - 0.106428i) q^{18} +(-4.30999 + 2.48837i) q^{19} +(2.38854 - 4.13707i) q^{20} +(4.23343 + 1.75444i) q^{21} +(-0.0831852 + 0.144081i) q^{22} -3.78971i q^{23} +(0.322294 + 0.134504i) q^{24} +(-0.359831 - 0.623246i) q^{25} +(-0.0776759 - 0.164440i) q^{26} +(-4.81634 + 1.95010i) q^{27} +(0.0131123 + 5.28476i) q^{28} +(2.15531 - 1.24437i) q^{29} +(0.166100 - 0.126752i) q^{30} +(4.40944 - 2.54579i) q^{31} +0.604250i q^{32} +(4.54166 - 3.46578i) q^{33} -0.320291i q^{34} +(5.48763 + 3.15016i) q^{35} +(-4.21464 - 4.25973i) q^{36} +5.24612 q^{37} +(-0.125513 - 0.217394i) q^{38} +(0.286774 + 6.23841i) q^{39} +(0.417611 + 0.241108i) q^{40} +(-0.726691 - 1.25866i) q^{41} +(-0.0884932 + 0.213533i) q^{42} +(-0.219074 + 0.379447i) q^{43} +(5.70573 + 3.29420i) q^{44} +(-6.94005 + 1.82006i) q^{45} +0.191152 q^{46} +(-2.16184 + 3.74442i) q^{47} +(2.65815 - 6.36936i) q^{48} +(-6.99991 + 0.0347361i) q^{49} +(0.0314364 - 0.0181498i) q^{50} +(-4.23595 + 10.1500i) q^{51} +(-6.51197 + 3.07603i) q^{52} +(-11.7501 + 6.78394i) q^{53} +(-0.0983625 - 0.242935i) q^{54} +(6.83155 - 3.94420i) q^{55} +(-0.533463 + 0.00132361i) q^{56} +(1.10239 + 8.54919i) q^{57} +(0.0627656 + 0.108713i) q^{58} -2.83547 q^{59} +(-5.01950 - 6.57770i) q^{60} +(2.46719 - 1.42443i) q^{61} +(0.128409 + 0.222411i) q^{62} +(5.62840 - 5.59652i) q^{63} +7.93900 q^{64} +(-0.708889 + 8.59378i) q^{65} +(0.174813 + 0.229080i) q^{66} +(-0.719519 + 1.24624i) q^{67} -12.6838 q^{68} +(-6.05761 - 2.52805i) q^{69} +(-0.158893 + 0.276795i) q^{70} +(-5.14430 - 2.97006i) q^{71} +(0.429993 - 0.425441i) q^{72} +(4.79664 - 2.76934i) q^{73} +0.264613i q^{74} +(-1.23626 + 0.159411i) q^{75} +(-8.60901 + 4.97041i) q^{76} +(-4.34461 + 7.56839i) q^{77} +(-0.314664 + 0.0144648i) q^{78} +(2.32507 - 4.02714i) q^{79} +(4.76492 - 8.25308i) q^{80} +(-0.0957808 + 8.99949i) q^{81} +(0.0634867 - 0.0366541i) q^{82} +16.2715 q^{83} +(8.45610 + 3.50441i) q^{84} +(-7.59323 + 13.1519i) q^{85} +(-0.0191392 - 0.0110500i) q^{86} +(-0.551276 - 4.27522i) q^{87} +(-0.332529 + 0.575957i) q^{88} +5.09488 q^{89} +(-0.0918032 - 0.350054i) q^{90} +(-4.09578 - 8.61537i) q^{91} -7.56977i q^{92} +(-1.12783 - 8.74647i) q^{93} +(-0.188868 - 0.109043i) q^{94} +11.9023i q^{95} +(0.965856 + 0.403085i) q^{96} +(11.0551 + 6.38267i) q^{97} +(-0.00175208 - 0.353074i) q^{98} +(-2.51017 - 9.57152i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0504397i 0.0356663i 0.999841 + 0.0178331i \(0.00567676\pi\)
−0.999841 + 0.0178331i \(0.994323\pi\)
\(3\) 0.667082 1.59844i 0.385140 0.922858i
\(4\) 1.99746 0.998728
\(5\) 1.19579 2.07117i 0.534774 0.926256i −0.464400 0.885625i \(-0.653730\pi\)
0.999174 0.0406302i \(-0.0129366\pi\)
\(6\) 0.0806247 + 0.0336474i 0.0329149 + 0.0137365i
\(7\) 0.00656452 + 2.64574i 0.00248116 + 0.999997i
\(8\) 0.201631i 0.0712872i
\(9\) −2.11000 2.13258i −0.703334 0.710859i
\(10\) 0.104469 + 0.0603154i 0.0330361 + 0.0190734i
\(11\) 2.85650 + 1.64920i 0.861267 + 0.497253i 0.864436 0.502742i \(-0.167676\pi\)
−0.00316960 + 0.999995i \(0.501009\pi\)
\(12\) 1.33247 3.19281i 0.384650 0.921684i
\(13\) −3.26013 + 1.53997i −0.904199 + 0.427112i
\(14\) −0.133451 0.000331113i −0.0356662 8.84936e-5i
\(15\) −2.51294 3.29304i −0.648840 0.850259i
\(16\) 3.98474 0.996185
\(17\) −6.34997 −1.54009 −0.770046 0.637988i \(-0.779767\pi\)
−0.770046 + 0.637988i \(0.779767\pi\)
\(18\) 0.107567 0.106428i 0.0253537 0.0250853i
\(19\) −4.30999 + 2.48837i −0.988778 + 0.570871i −0.904909 0.425605i \(-0.860061\pi\)
−0.0838695 + 0.996477i \(0.526728\pi\)
\(20\) 2.38854 4.13707i 0.534094 0.925077i
\(21\) 4.23343 + 1.75444i 0.923811 + 0.382849i
\(22\) −0.0831852 + 0.144081i −0.0177351 + 0.0307182i
\(23\) 3.78971i 0.790208i −0.918636 0.395104i \(-0.870709\pi\)
0.918636 0.395104i \(-0.129291\pi\)
\(24\) 0.322294 + 0.134504i 0.0657879 + 0.0274556i
\(25\) −0.359831 0.623246i −0.0719663 0.124649i
\(26\) −0.0776759 0.164440i −0.0152335 0.0322494i
\(27\) −4.81634 + 1.95010i −0.926905 + 0.375297i
\(28\) 0.0131123 + 5.28476i 0.00247800 + 0.998725i
\(29\) 2.15531 1.24437i 0.400231 0.231073i −0.286353 0.958124i \(-0.592443\pi\)
0.686584 + 0.727051i \(0.259110\pi\)
\(30\) 0.166100 0.126752i 0.0303256 0.0231417i
\(31\) 4.40944 2.54579i 0.791960 0.457238i −0.0486923 0.998814i \(-0.515505\pi\)
0.840652 + 0.541576i \(0.182172\pi\)
\(32\) 0.604250i 0.106817i
\(33\) 4.54166 3.46578i 0.790602 0.603315i
\(34\) 0.320291i 0.0549294i
\(35\) 5.48763 + 3.15016i 0.927580 + 0.532474i
\(36\) −4.21464 4.25973i −0.702439 0.709955i
\(37\) 5.24612 0.862457 0.431228 0.902243i \(-0.358080\pi\)
0.431228 + 0.902243i \(0.358080\pi\)
\(38\) −0.125513 0.217394i −0.0203609 0.0352660i
\(39\) 0.286774 + 6.23841i 0.0459207 + 0.998945i
\(40\) 0.417611 + 0.241108i 0.0660301 + 0.0381225i
\(41\) −0.726691 1.25866i −0.113490 0.196570i 0.803685 0.595055i \(-0.202870\pi\)
−0.917175 + 0.398484i \(0.869536\pi\)
\(42\) −0.0884932 + 0.213533i −0.0136548 + 0.0329489i
\(43\) −0.219074 + 0.379447i −0.0334085 + 0.0578652i −0.882246 0.470788i \(-0.843970\pi\)
0.848838 + 0.528653i \(0.177303\pi\)
\(44\) 5.70573 + 3.29420i 0.860171 + 0.496620i
\(45\) −6.94005 + 1.82006i −1.03456 + 0.271318i
\(46\) 0.191152 0.0281838
\(47\) −2.16184 + 3.74442i −0.315337 + 0.546180i −0.979509 0.201400i \(-0.935451\pi\)
0.664172 + 0.747580i \(0.268784\pi\)
\(48\) 2.65815 6.36936i 0.383671 0.919338i
\(49\) −6.99991 + 0.0347361i −0.999988 + 0.00496230i
\(50\) 0.0314364 0.0181498i 0.00444577 0.00256677i
\(51\) −4.23595 + 10.1500i −0.593152 + 1.42129i
\(52\) −6.51197 + 3.07603i −0.903048 + 0.426569i
\(53\) −11.7501 + 6.78394i −1.61400 + 0.931845i −0.625574 + 0.780165i \(0.715135\pi\)
−0.988430 + 0.151681i \(0.951531\pi\)
\(54\) −0.0983625 0.242935i −0.0133854 0.0330592i
\(55\) 6.83155 3.94420i 0.921166 0.531835i
\(56\) −0.533463 + 0.00132361i −0.0712869 + 0.000176875i
\(57\) 1.10239 + 8.54919i 0.146015 + 1.13237i
\(58\) 0.0627656 + 0.108713i 0.00824153 + 0.0142747i
\(59\) −2.83547 −0.369146 −0.184573 0.982819i \(-0.559090\pi\)
−0.184573 + 0.982819i \(0.559090\pi\)
\(60\) −5.01950 6.57770i −0.648014 0.849177i
\(61\) 2.46719 1.42443i 0.315891 0.182380i −0.333669 0.942690i \(-0.608287\pi\)
0.649560 + 0.760311i \(0.274953\pi\)
\(62\) 0.128409 + 0.222411i 0.0163080 + 0.0282462i
\(63\) 5.62840 5.59652i 0.709112 0.705096i
\(64\) 7.93900 0.992376
\(65\) −0.708889 + 8.59378i −0.0879269 + 1.06593i
\(66\) 0.174813 + 0.229080i 0.0215180 + 0.0281978i
\(67\) −0.719519 + 1.24624i −0.0879032 + 0.152253i −0.906625 0.421938i \(-0.861350\pi\)
0.818721 + 0.574191i \(0.194683\pi\)
\(68\) −12.6838 −1.53813
\(69\) −6.05761 2.52805i −0.729250 0.304341i
\(70\) −0.158893 + 0.276795i −0.0189914 + 0.0330833i
\(71\) −5.14430 2.97006i −0.610516 0.352482i 0.162651 0.986684i \(-0.447995\pi\)
−0.773167 + 0.634202i \(0.781329\pi\)
\(72\) 0.429993 0.425441i 0.0506752 0.0501387i
\(73\) 4.79664 2.76934i 0.561404 0.324127i −0.192305 0.981335i \(-0.561596\pi\)
0.753709 + 0.657209i \(0.228263\pi\)
\(74\) 0.264613i 0.0307606i
\(75\) −1.23626 + 0.159411i −0.142751 + 0.0184072i
\(76\) −8.60901 + 4.97041i −0.987521 + 0.570145i
\(77\) −4.34461 + 7.56839i −0.495114 + 0.862498i
\(78\) −0.314664 + 0.0144648i −0.0356286 + 0.00163782i
\(79\) 2.32507 4.02714i 0.261591 0.453088i −0.705074 0.709134i \(-0.749086\pi\)
0.966665 + 0.256045i \(0.0824197\pi\)
\(80\) 4.76492 8.25308i 0.532734 0.922722i
\(81\) −0.0957808 + 8.99949i −0.0106423 + 0.999943i
\(82\) 0.0634867 0.0366541i 0.00701093 0.00404776i
\(83\) 16.2715 1.78603 0.893015 0.450026i \(-0.148585\pi\)
0.893015 + 0.450026i \(0.148585\pi\)
\(84\) 8.45610 + 3.50441i 0.922636 + 0.382362i
\(85\) −7.59323 + 13.1519i −0.823602 + 1.42652i
\(86\) −0.0191392 0.0110500i −0.00206384 0.00119156i
\(87\) −0.551276 4.27522i −0.0591030 0.458352i
\(88\) −0.332529 + 0.575957i −0.0354477 + 0.0613973i
\(89\) 5.09488 0.540056 0.270028 0.962852i \(-0.412967\pi\)
0.270028 + 0.962852i \(0.412967\pi\)
\(90\) −0.0918032 0.350054i −0.00967690 0.0368990i
\(91\) −4.09578 8.61537i −0.429354 0.903136i
\(92\) 7.56977i 0.789203i
\(93\) −1.12783 8.74647i −0.116950 0.906967i
\(94\) −0.188868 0.109043i −0.0194802 0.0112469i
\(95\) 11.9023i 1.22115i
\(96\) 0.965856 + 0.403085i 0.0985773 + 0.0411397i
\(97\) 11.0551 + 6.38267i 1.12248 + 0.648062i 0.942032 0.335523i \(-0.108913\pi\)
0.180445 + 0.983585i \(0.442246\pi\)
\(98\) −0.00175208 0.353074i −0.000176987 0.0356658i
\(99\) −2.51017 9.57152i −0.252282 0.961974i
\(100\) −0.718747 1.24491i −0.0718747 0.124491i
\(101\) −7.70071 + 13.3380i −0.766250 + 1.32718i 0.173334 + 0.984863i \(0.444546\pi\)
−0.939583 + 0.342320i \(0.888787\pi\)
\(102\) −0.511964 0.213660i −0.0506920 0.0211555i
\(103\) −8.35522 4.82389i −0.823264 0.475312i 0.0282768 0.999600i \(-0.490998\pi\)
−0.851541 + 0.524288i \(0.824331\pi\)
\(104\) −0.310506 0.657343i −0.0304476 0.0644578i
\(105\) 8.69604 6.67022i 0.848646 0.650947i
\(106\) −0.342180 0.592673i −0.0332355 0.0575655i
\(107\) 15.9995i 1.54673i −0.633964 0.773363i \(-0.718573\pi\)
0.633964 0.773363i \(-0.281427\pi\)
\(108\) −9.62042 + 3.89524i −0.925726 + 0.374820i
\(109\) −1.34089 2.32249i −0.128434 0.222454i 0.794636 0.607086i \(-0.207662\pi\)
−0.923070 + 0.384632i \(0.874328\pi\)
\(110\) 0.198944 + 0.344581i 0.0189686 + 0.0328546i
\(111\) 3.49959 8.38559i 0.332167 0.795925i
\(112\) 0.0261579 + 10.5426i 0.00247169 + 0.996182i
\(113\) −1.59016 0.918079i −0.149590 0.0863656i 0.423337 0.905972i \(-0.360859\pi\)
−0.572927 + 0.819607i \(0.694192\pi\)
\(114\) −0.431219 + 0.0556042i −0.0403873 + 0.00520781i
\(115\) −7.84913 4.53170i −0.731935 0.422583i
\(116\) 4.30514 2.48557i 0.399722 0.230779i
\(117\) 10.1630 + 3.70314i 0.939570 + 0.342356i
\(118\) 0.143020i 0.0131661i
\(119\) −0.0416845 16.8004i −0.00382121 1.54009i
\(120\) 0.663977 0.506686i 0.0606125 0.0462539i
\(121\) −0.0602782 0.104405i −0.00547984 0.00949135i
\(122\) 0.0718479 + 0.124444i 0.00650480 + 0.0112666i
\(123\) −2.49666 + 0.321936i −0.225116 + 0.0290280i
\(124\) 8.80767 5.08511i 0.790952 0.456656i
\(125\) 10.2368 0.915605
\(126\) 0.282287 + 0.283895i 0.0251481 + 0.0252914i
\(127\) 2.35503 + 4.07903i 0.208975 + 0.361956i 0.951392 0.307983i \(-0.0996539\pi\)
−0.742417 + 0.669938i \(0.766321\pi\)
\(128\) 1.60894i 0.142212i
\(129\) 0.460382 + 0.603299i 0.0405344 + 0.0531175i
\(130\) −0.433468 0.0357562i −0.0380177 0.00313602i
\(131\) 8.13750 14.0946i 0.710977 1.23145i −0.253514 0.967332i \(-0.581587\pi\)
0.964491 0.264116i \(-0.0850802\pi\)
\(132\) 9.07177 6.92274i 0.789596 0.602547i
\(133\) −6.61188 11.3868i −0.573323 0.987359i
\(134\) −0.0628601 0.0362923i −0.00543029 0.00313518i
\(135\) −1.72034 + 12.3074i −0.148063 + 1.05925i
\(136\) 1.28035i 0.109789i
\(137\) 8.87491i 0.758235i 0.925349 + 0.379118i \(0.123772\pi\)
−0.925349 + 0.379118i \(0.876228\pi\)
\(138\) 0.127514 0.305544i 0.0108547 0.0260096i
\(139\) 4.70649 + 2.71729i 0.399199 + 0.230478i 0.686138 0.727471i \(-0.259304\pi\)
−0.286939 + 0.957949i \(0.592638\pi\)
\(140\) 10.9613 + 6.29230i 0.926400 + 0.531797i
\(141\) 4.54309 + 5.95341i 0.382597 + 0.501367i
\(142\) 0.149809 0.259477i 0.0125717 0.0217748i
\(143\) −11.8523 0.977679i −0.991139 0.0817576i
\(144\) −8.40781 8.49777i −0.700651 0.708148i
\(145\) 5.95202i 0.494288i
\(146\) 0.139685 + 0.241941i 0.0115604 + 0.0200232i
\(147\) −4.61400 + 11.2121i −0.380556 + 0.924758i
\(148\) 10.4789 0.861359
\(149\) −3.21822 + 1.85804i −0.263647 + 0.152217i −0.625997 0.779825i \(-0.715308\pi\)
0.362350 + 0.932042i \(0.381974\pi\)
\(150\) −0.00804066 0.0623565i −0.000656517 0.00509138i
\(151\) 9.64969 + 16.7138i 0.785280 + 1.36015i 0.928831 + 0.370503i \(0.120815\pi\)
−0.143551 + 0.989643i \(0.545852\pi\)
\(152\) −0.501732 0.869025i −0.0406958 0.0704872i
\(153\) 13.3984 + 13.5418i 1.08320 + 1.09479i
\(154\) −0.381747 0.219141i −0.0307621 0.0176589i
\(155\) 12.1769i 0.978076i
\(156\) 0.572819 + 12.4609i 0.0458622 + 0.997674i
\(157\) −5.75610 + 3.32329i −0.459387 + 0.265227i −0.711786 0.702396i \(-0.752114\pi\)
0.252400 + 0.967623i \(0.418780\pi\)
\(158\) 0.203128 + 0.117276i 0.0161600 + 0.00932996i
\(159\) 3.00540 + 23.3073i 0.238343 + 1.84839i
\(160\) 1.25151 + 0.722557i 0.0989402 + 0.0571232i
\(161\) 10.0266 0.0248776i 0.790206 0.00196063i
\(162\) −0.453932 0.00483116i −0.0356642 0.000379571i
\(163\) −9.68893 16.7817i −0.758896 1.31445i −0.943414 0.331617i \(-0.892406\pi\)
0.184519 0.982829i \(-0.440927\pi\)
\(164\) −1.45153 2.51413i −0.113346 0.196320i
\(165\) −1.74734 13.5509i −0.136031 1.05494i
\(166\) 0.820731i 0.0637011i
\(167\) −8.60942 14.9119i −0.666217 1.15392i −0.978954 0.204081i \(-0.934579\pi\)
0.312737 0.949840i \(-0.398754\pi\)
\(168\) −0.353748 + 0.853589i −0.0272922 + 0.0658559i
\(169\) 8.25696 10.0410i 0.635150 0.772388i
\(170\) −0.663376 0.383000i −0.0508786 0.0293748i
\(171\) 14.4007 + 3.94091i 1.10125 + 0.301369i
\(172\) −0.437591 + 0.757929i −0.0333660 + 0.0577916i
\(173\) 0.520101 + 0.900841i 0.0395425 + 0.0684897i 0.885119 0.465364i \(-0.154077\pi\)
−0.845577 + 0.533854i \(0.820743\pi\)
\(174\) 0.215641 0.0278062i 0.0163477 0.00210798i
\(175\) 1.64659 0.956113i 0.124470 0.0722753i
\(176\) 11.3824 + 6.57164i 0.857981 + 0.495356i
\(177\) −1.89149 + 4.53232i −0.142173 + 0.340670i
\(178\) 0.256984i 0.0192618i
\(179\) −2.71634 1.56828i −0.203029 0.117219i 0.395039 0.918665i \(-0.370731\pi\)
−0.598067 + 0.801446i \(0.704065\pi\)
\(180\) −13.8625 + 3.63548i −1.03325 + 0.270973i
\(181\) 20.8722i 1.55142i −0.631091 0.775709i \(-0.717393\pi\)
0.631091 0.775709i \(-0.282607\pi\)
\(182\) 0.434557 0.206590i 0.0322115 0.0153135i
\(183\) −0.631046 4.89386i −0.0466483 0.361764i
\(184\) 0.764120 0.0563317
\(185\) 6.27326 10.8656i 0.461219 0.798855i
\(186\) 0.441170 0.0568874i 0.0323481 0.00417119i
\(187\) −18.1387 10.4724i −1.32643 0.765815i
\(188\) −4.31818 + 7.47931i −0.314936 + 0.545485i
\(189\) −5.19108 12.7300i −0.377596 0.925971i
\(190\) −0.600348 −0.0435538
\(191\) 21.0162 12.1337i 1.52068 0.877966i 0.520979 0.853569i \(-0.325567\pi\)
0.999702 0.0243967i \(-0.00776648\pi\)
\(192\) 5.29597 12.6900i 0.382204 0.915822i
\(193\) −0.774391 + 1.34128i −0.0557419 + 0.0965478i −0.892550 0.450949i \(-0.851086\pi\)
0.836808 + 0.547497i \(0.184419\pi\)
\(194\) −0.321940 + 0.557617i −0.0231140 + 0.0400346i
\(195\) 13.2637 + 6.86587i 0.949836 + 0.491676i
\(196\) −13.9820 + 0.0693838i −0.998716 + 0.00495598i
\(197\) −18.2395 + 10.5306i −1.29951 + 0.750273i −0.980319 0.197418i \(-0.936744\pi\)
−0.319191 + 0.947690i \(0.603411\pi\)
\(198\) 0.482785 0.126612i 0.0343100 0.00899794i
\(199\) 20.0628i 1.42221i −0.703085 0.711106i \(-0.748195\pi\)
0.703085 0.711106i \(-0.251805\pi\)
\(200\) 0.125666 0.0725530i 0.00888589 0.00513027i
\(201\) 1.51206 + 1.98145i 0.106653 + 0.139761i
\(202\) −0.672766 0.388422i −0.0473357 0.0273293i
\(203\) 3.30643 + 5.69423i 0.232066 + 0.399656i
\(204\) −8.46112 + 20.2742i −0.592397 + 1.41948i
\(205\) −3.47588 −0.242766
\(206\) 0.243315 0.421435i 0.0169526 0.0293628i
\(207\) −8.08184 + 7.99629i −0.561727 + 0.555780i
\(208\) −12.9908 + 6.13640i −0.900749 + 0.425483i
\(209\) −16.4153 −1.13547
\(210\) 0.336444 + 0.438626i 0.0232169 + 0.0302680i
\(211\) −9.09366 15.7507i −0.626033 1.08432i −0.988340 0.152263i \(-0.951344\pi\)
0.362307 0.932059i \(-0.381989\pi\)
\(212\) −23.4704 + 13.5506i −1.61195 + 0.930660i
\(213\) −8.17913 + 6.24156i −0.560425 + 0.427665i
\(214\) 0.807008 0.0551659
\(215\) 0.523933 + 0.907479i 0.0357320 + 0.0618896i
\(216\) −0.393200 0.971121i −0.0267539 0.0660764i
\(217\) 6.76446 + 11.6495i 0.459202 + 0.790823i
\(218\) 0.117146 0.0676341i 0.00793410 0.00458076i
\(219\) −1.22686 9.51450i −0.0829037 0.642930i
\(220\) 13.6457 7.87836i 0.919994 0.531159i
\(221\) 20.7017 9.77879i 1.39255 0.657792i
\(222\) 0.422967 + 0.176519i 0.0283877 + 0.0118471i
\(223\) −21.7090 + 12.5337i −1.45374 + 0.839320i −0.998691 0.0511442i \(-0.983713\pi\)
−0.455053 + 0.890464i \(0.650380\pi\)
\(224\) −1.59869 + 0.00396661i −0.106817 + 0.000265031i
\(225\) −0.569876 + 2.08242i −0.0379918 + 0.138828i
\(226\) 0.0463076 0.0802072i 0.00308034 0.00533530i
\(227\) 5.62046 0.373043 0.186522 0.982451i \(-0.440279\pi\)
0.186522 + 0.982451i \(0.440279\pi\)
\(228\) 2.20197 + 17.0766i 0.145829 + 1.13093i
\(229\) −12.7089 7.33749i −0.839828 0.484875i 0.0173777 0.999849i \(-0.494468\pi\)
−0.857206 + 0.514974i \(0.827802\pi\)
\(230\) 0.228577 0.395908i 0.0150720 0.0261054i
\(231\) 9.19938 + 11.9933i 0.605275 + 0.789103i
\(232\) 0.250903 + 0.434576i 0.0164726 + 0.0285313i
\(233\) 12.2033 + 7.04557i 0.799464 + 0.461571i 0.843284 0.537469i \(-0.180619\pi\)
−0.0438198 + 0.999039i \(0.513953\pi\)
\(234\) −0.186785 + 0.512619i −0.0122105 + 0.0335110i
\(235\) 5.17022 + 8.95509i 0.337268 + 0.584165i
\(236\) −5.66372 −0.368677
\(237\) −4.88611 6.40291i −0.317387 0.415913i
\(238\) 0.847406 0.00210255i 0.0549292 0.000136288i
\(239\) 23.9806i 1.55117i 0.631241 + 0.775587i \(0.282546\pi\)
−0.631241 + 0.775587i \(0.717454\pi\)
\(240\) −10.0134 13.1219i −0.646364 0.847015i
\(241\) 15.5732i 1.00316i 0.865112 + 0.501578i \(0.167247\pi\)
−0.865112 + 0.501578i \(0.832753\pi\)
\(242\) 0.00526615 0.00304042i 0.000338521 0.000195445i
\(243\) 14.3212 + 6.15650i 0.918707 + 0.394940i
\(244\) 4.92810 2.84524i 0.315489 0.182148i
\(245\) −8.29849 + 14.5396i −0.530171 + 0.928898i
\(246\) −0.0162384 0.125931i −0.00103532 0.00802905i
\(247\) 10.2191 14.7497i 0.650226 0.938501i
\(248\) 0.513310 + 0.889079i 0.0325952 + 0.0564566i
\(249\) 10.8544 26.0090i 0.687872 1.64825i
\(250\) 0.516340i 0.0326562i
\(251\) −5.82685 + 10.0924i −0.367788 + 0.637027i −0.989219 0.146441i \(-0.953218\pi\)
0.621432 + 0.783468i \(0.286551\pi\)
\(252\) 11.2425 11.1788i 0.708210 0.704199i
\(253\) 6.24998 10.8253i 0.392933 0.680580i
\(254\) −0.205745 + 0.118787i −0.0129096 + 0.00745337i
\(255\) 15.9571 + 20.9107i 0.999273 + 1.30948i
\(256\) 15.7969 0.987303
\(257\) 0.0170368 0.00106273 0.000531363 1.00000i \(-0.499831\pi\)
0.000531363 1.00000i \(0.499831\pi\)
\(258\) −0.0304302 + 0.0232216i −0.00189450 + 0.00144571i
\(259\) 0.0344383 + 13.8799i 0.00213989 + 0.862454i
\(260\) −1.41597 + 17.1657i −0.0878150 + 1.06457i
\(261\) −7.20142 1.97075i −0.445757 0.121986i
\(262\) 0.710926 + 0.410453i 0.0439211 + 0.0253579i
\(263\) −9.56050 5.51976i −0.589526 0.340363i 0.175384 0.984500i \(-0.443883\pi\)
−0.764910 + 0.644137i \(0.777217\pi\)
\(264\) 0.698807 + 0.915738i 0.0430086 + 0.0563598i
\(265\) 32.4487i 1.99331i
\(266\) 0.574346 0.333502i 0.0352154 0.0204483i
\(267\) 3.39871 8.14385i 0.207997 0.498395i
\(268\) −1.43721 + 2.48931i −0.0877914 + 0.152059i
\(269\) −15.0187 −0.915703 −0.457852 0.889029i \(-0.651381\pi\)
−0.457852 + 0.889029i \(0.651381\pi\)
\(270\) −0.620780 0.0867736i −0.0377795 0.00528087i
\(271\) 13.2624i 0.805634i −0.915280 0.402817i \(-0.868031\pi\)
0.915280 0.402817i \(-0.131969\pi\)
\(272\) −25.3030 −1.53422
\(273\) −16.5033 + 0.799684i −0.998828 + 0.0483991i
\(274\) −0.447648 −0.0270434
\(275\) 2.37374i 0.143142i
\(276\) −12.0998 5.04966i −0.728322 0.303954i
\(277\) −23.0286 −1.38365 −0.691826 0.722064i \(-0.743194\pi\)
−0.691826 + 0.722064i \(0.743194\pi\)
\(278\) −0.137060 + 0.237394i −0.00822028 + 0.0142379i
\(279\) −14.7330 4.03185i −0.882044 0.241381i
\(280\) −0.635168 + 1.10647i −0.0379586 + 0.0661245i
\(281\) 11.1312i 0.664031i 0.943274 + 0.332016i \(0.107729\pi\)
−0.943274 + 0.332016i \(0.892271\pi\)
\(282\) −0.300288 + 0.229152i −0.0178819 + 0.0136458i
\(283\) 18.7447 + 10.8223i 1.11426 + 0.643317i 0.939929 0.341371i \(-0.110891\pi\)
0.174328 + 0.984688i \(0.444225\pi\)
\(284\) −10.2755 5.93257i −0.609739 0.352033i
\(285\) 19.0251 + 7.93980i 1.12695 + 0.470313i
\(286\) 0.0493139 0.597826i 0.00291599 0.0353502i
\(287\) 3.32533 1.93090i 0.196288 0.113977i
\(288\) 1.28861 1.27497i 0.0759321 0.0751283i
\(289\) 23.3221 1.37189
\(290\) 0.300218 0.0176294
\(291\) 17.5770 13.4131i 1.03038 0.786292i
\(292\) 9.58107 5.53163i 0.560690 0.323714i
\(293\) 2.12989 3.68908i 0.124430 0.215519i −0.797080 0.603874i \(-0.793623\pi\)
0.921510 + 0.388355i \(0.126957\pi\)
\(294\) −0.565535 0.232729i −0.0329827 0.0135730i
\(295\) −3.39063 + 5.87274i −0.197410 + 0.341924i
\(296\) 1.05778i 0.0614821i
\(297\) −16.9740 2.37265i −0.984929 0.137675i
\(298\) −0.0937191 0.162326i −0.00542900 0.00940331i
\(299\) 5.83605 + 12.3550i 0.337508 + 0.714505i
\(300\) −2.46937 + 0.318417i −0.142569 + 0.0183838i
\(301\) −1.00536 0.577123i −0.0579479 0.0332648i
\(302\) −0.843037 + 0.486728i −0.0485113 + 0.0280080i
\(303\) 16.1830 + 21.2067i 0.929688 + 1.21829i
\(304\) −17.1742 + 9.91552i −0.985007 + 0.568694i
\(305\) 6.81329i 0.390128i
\(306\) −0.683045 + 0.675814i −0.0390471 + 0.0386337i
\(307\) 23.3540i 1.33288i −0.745557 0.666441i \(-0.767817\pi\)
0.745557 0.666441i \(-0.232183\pi\)
\(308\) −8.67816 + 15.1175i −0.494484 + 0.861401i
\(309\) −13.2843 + 10.1374i −0.755717 + 0.576694i
\(310\) 0.614202 0.0348843
\(311\) 10.9226 + 18.9184i 0.619362 + 1.07277i 0.989602 + 0.143830i \(0.0459418\pi\)
−0.370241 + 0.928936i \(0.620725\pi\)
\(312\) −1.25785 + 0.0578225i −0.0712120 + 0.00327355i
\(313\) 11.2662 + 6.50456i 0.636804 + 0.367659i 0.783383 0.621540i \(-0.213493\pi\)
−0.146578 + 0.989199i \(0.546826\pi\)
\(314\) −0.167626 0.290336i −0.00945966 0.0163846i
\(315\) −4.86096 18.3497i −0.273884 1.03389i
\(316\) 4.64422 8.04403i 0.261258 0.452512i
\(317\) −18.4310 10.6412i −1.03519 0.597667i −0.116723 0.993165i \(-0.537239\pi\)
−0.918467 + 0.395497i \(0.870572\pi\)
\(318\) −1.17561 + 0.151591i −0.0659251 + 0.00850082i
\(319\) 8.20885 0.459607
\(320\) 9.49339 16.4430i 0.530697 0.919193i
\(321\) −25.5741 10.6730i −1.42741 0.595706i
\(322\) 0.00125482 + 0.505738i 6.99283e−5 + 0.0281837i
\(323\) 27.3683 15.8011i 1.52281 0.879195i
\(324\) −0.191318 + 17.9761i −0.0106288 + 0.998671i
\(325\) 2.13288 + 1.47774i 0.118311 + 0.0819700i
\(326\) 0.846465 0.488707i 0.0468814 0.0270670i
\(327\) −4.60683 + 0.594036i −0.254758 + 0.0328503i
\(328\) 0.253785 0.146523i 0.0140129 0.00809038i
\(329\) −9.92097 5.69510i −0.546961 0.313981i
\(330\) 0.683504 0.0881356i 0.0376257 0.00485170i
\(331\) 3.39537 + 5.88095i 0.186626 + 0.323246i 0.944123 0.329592i \(-0.106911\pi\)
−0.757497 + 0.652839i \(0.773578\pi\)
\(332\) 32.5016 1.78376
\(333\) −11.0693 11.1878i −0.606595 0.613085i
\(334\) 0.752154 0.434257i 0.0411561 0.0237615i
\(335\) 1.72079 + 2.98049i 0.0940167 + 0.162842i
\(336\) 16.8691 + 6.99097i 0.920287 + 0.381389i
\(337\) −27.2006 −1.48171 −0.740854 0.671666i \(-0.765579\pi\)
−0.740854 + 0.671666i \(0.765579\pi\)
\(338\) 0.506468 + 0.416479i 0.0275482 + 0.0226534i
\(339\) −2.52826 + 1.92934i −0.137316 + 0.104787i
\(340\) −15.1671 + 26.2703i −0.822554 + 1.42471i
\(341\) 16.7941 0.909451
\(342\) −0.198779 + 0.726369i −0.0107487 + 0.0392775i
\(343\) −0.137854 18.5197i −0.00744340 0.999972i
\(344\) −0.0765082 0.0441720i −0.00412505 0.00238160i
\(345\) −12.4796 + 9.52332i −0.671881 + 0.512718i
\(346\) −0.0454382 + 0.0262337i −0.00244277 + 0.00141033i
\(347\) 26.4068i 1.41759i −0.705413 0.708796i \(-0.749239\pi\)
0.705413 0.708796i \(-0.250761\pi\)
\(348\) −1.10115 8.53957i −0.0590278 0.457769i
\(349\) −5.26120 + 3.03756i −0.281626 + 0.162597i −0.634159 0.773203i \(-0.718654\pi\)
0.352533 + 0.935799i \(0.385320\pi\)
\(350\) 0.0482261 + 0.0830534i 0.00257779 + 0.00443939i
\(351\) 12.6988 13.7746i 0.677812 0.735235i
\(352\) −0.996530 + 1.72604i −0.0531152 + 0.0919983i
\(353\) 12.6092 21.8397i 0.671118 1.16241i −0.306469 0.951881i \(-0.599148\pi\)
0.977587 0.210530i \(-0.0675190\pi\)
\(354\) −0.228609 0.0954063i −0.0121504 0.00507079i
\(355\) −12.3030 + 7.10315i −0.652976 + 0.376996i
\(356\) 10.1768 0.539369
\(357\) −26.8822 11.1406i −1.42275 0.589623i
\(358\) 0.0791036 0.137011i 0.00418076 0.00724128i
\(359\) −11.9864 6.92033i −0.632616 0.365241i 0.149149 0.988815i \(-0.452347\pi\)
−0.781764 + 0.623574i \(0.785680\pi\)
\(360\) −0.366979 1.39933i −0.0193415 0.0737510i
\(361\) 2.88398 4.99520i 0.151789 0.262905i
\(362\) 1.05279 0.0553333
\(363\) −0.207095 + 0.0267042i −0.0108697 + 0.00140161i
\(364\) −8.18114 17.2088i −0.428808 0.901987i
\(365\) 13.2462i 0.693338i
\(366\) 0.246845 0.0318298i 0.0129028 0.00166377i
\(367\) 17.1610 + 9.90789i 0.895795 + 0.517188i 0.875834 0.482613i \(-0.160312\pi\)
0.0199617 + 0.999801i \(0.493646\pi\)
\(368\) 15.1010i 0.787194i
\(369\) −1.15088 + 4.20551i −0.0599126 + 0.218930i
\(370\) 0.548058 + 0.316422i 0.0284922 + 0.0164500i
\(371\) −18.0257 31.0433i −0.935847 1.61169i
\(372\) −2.25279 17.4707i −0.116802 0.905813i
\(373\) 8.78317 + 15.2129i 0.454775 + 0.787694i 0.998675 0.0514563i \(-0.0163863\pi\)
−0.543900 + 0.839150i \(0.683053\pi\)
\(374\) 0.528223 0.914909i 0.0273138 0.0473088i
\(375\) 6.82877 16.3628i 0.352636 0.844974i
\(376\) −0.754990 0.435893i −0.0389356 0.0224795i
\(377\) −5.11030 + 7.37593i −0.263194 + 0.379880i
\(378\) 0.642097 0.261837i 0.0330259 0.0134674i
\(379\) 9.24290 + 16.0092i 0.474776 + 0.822336i 0.999583 0.0288853i \(-0.00919576\pi\)
−0.524807 + 0.851221i \(0.675862\pi\)
\(380\) 23.7743i 1.21960i
\(381\) 8.09108 1.04332i 0.414519 0.0534508i
\(382\) 0.612022 + 1.06005i 0.0313138 + 0.0542370i
\(383\) 1.58258 + 2.74110i 0.0808659 + 0.140064i 0.903622 0.428331i \(-0.140898\pi\)
−0.822756 + 0.568394i \(0.807565\pi\)
\(384\) 2.57179 + 1.07330i 0.131241 + 0.0547714i
\(385\) 10.4802 + 18.0486i 0.534119 + 0.919843i
\(386\) −0.0676540 0.0390601i −0.00344350 0.00198811i
\(387\) 1.27145 0.333442i 0.0646313 0.0169498i
\(388\) 22.0821 + 12.7491i 1.12105 + 0.647238i
\(389\) 13.6079 7.85653i 0.689949 0.398342i −0.113644 0.993522i \(-0.536252\pi\)
0.803593 + 0.595179i \(0.202919\pi\)
\(390\) −0.346313 + 0.669019i −0.0175362 + 0.0338771i
\(391\) 24.0645i 1.21699i
\(392\) −0.00700385 1.41140i −0.000353748 0.0712863i
\(393\) −17.1009 22.4095i −0.862626 1.13041i
\(394\) −0.531159 0.919995i −0.0267594 0.0463487i
\(395\) −5.56059 9.63122i −0.279784 0.484599i
\(396\) −5.01395 19.1187i −0.251961 0.960750i
\(397\) 15.0351 8.68055i 0.754593 0.435664i −0.0727584 0.997350i \(-0.523180\pi\)
0.827351 + 0.561685i \(0.189847\pi\)
\(398\) 1.01196 0.0507250
\(399\) −22.6117 + 2.97276i −1.13200 + 0.148824i
\(400\) −1.43384 2.48348i −0.0716918 0.124174i
\(401\) 6.92669i 0.345902i 0.984930 + 0.172951i \(0.0553303\pi\)
−0.984930 + 0.172951i \(0.944670\pi\)
\(402\) −0.0999439 + 0.0762680i −0.00498475 + 0.00380390i
\(403\) −10.4549 + 15.0901i −0.520797 + 0.751690i
\(404\) −15.3818 + 26.6421i −0.765275 + 1.32550i
\(405\) 18.5249 + 10.9599i 0.920512 + 0.544601i
\(406\) −0.287215 + 0.166775i −0.0142543 + 0.00827692i
\(407\) 14.9855 + 8.65190i 0.742805 + 0.428859i
\(408\) −2.04655 0.854097i −0.101320 0.0422841i
\(409\) 3.78042i 0.186930i 0.995623 + 0.0934648i \(0.0297943\pi\)
−0.995623 + 0.0934648i \(0.970206\pi\)
\(410\) 0.175322i 0.00865856i
\(411\) 14.1860 + 5.92030i 0.699743 + 0.292027i
\(412\) −16.6892 9.63550i −0.822217 0.474707i
\(413\) −0.0186135 7.50192i −0.000915910 0.369145i
\(414\) −0.403331 0.407646i −0.0198226 0.0200347i
\(415\) 19.4573 33.7011i 0.955123 1.65432i
\(416\) −0.930530 1.96994i −0.0456230 0.0965841i
\(417\) 7.48304 5.71037i 0.366446 0.279638i
\(418\) 0.827983i 0.0404980i
\(419\) 12.6236 + 21.8647i 0.616703 + 1.06816i 0.990083 + 0.140483i \(0.0448654\pi\)
−0.373380 + 0.927678i \(0.621801\pi\)
\(420\) 17.3699 13.3235i 0.847567 0.650119i
\(421\) 18.4740 0.900367 0.450184 0.892936i \(-0.351358\pi\)
0.450184 + 0.892936i \(0.351358\pi\)
\(422\) 0.794460 0.458682i 0.0386737 0.0223283i
\(423\) 12.5468 3.29044i 0.610044 0.159987i
\(424\) −1.36785 2.36918i −0.0664286 0.115058i
\(425\) 2.28492 + 3.95759i 0.110835 + 0.191971i
\(426\) −0.314823 0.412553i −0.0152532 0.0199883i
\(427\) 3.78487 + 6.51819i 0.183163 + 0.315437i
\(428\) 31.9582i 1.54476i
\(429\) −9.46922 + 18.2930i −0.457178 + 0.883192i
\(430\) −0.0457730 + 0.0264271i −0.00220737 + 0.00127443i
\(431\) 26.5875 + 15.3503i 1.28067 + 0.739397i 0.976971 0.213371i \(-0.0684442\pi\)
0.303701 + 0.952767i \(0.401778\pi\)
\(432\) −19.1919 + 7.77065i −0.923369 + 0.373865i
\(433\) −5.40561 3.12093i −0.259777 0.149982i 0.364456 0.931221i \(-0.381255\pi\)
−0.624233 + 0.781238i \(0.714588\pi\)
\(434\) −0.587600 + 0.341198i −0.0282057 + 0.0163780i
\(435\) −9.51393 3.97049i −0.456158 0.190370i
\(436\) −2.67837 4.63907i −0.128270 0.222171i
\(437\) 9.43019 + 16.3336i 0.451107 + 0.781341i
\(438\) 0.479909 0.0618826i 0.0229309 0.00295687i
\(439\) 5.95015i 0.283985i −0.989868 0.141993i \(-0.954649\pi\)
0.989868 0.141993i \(-0.0453509\pi\)
\(440\) 0.795271 + 1.37745i 0.0379130 + 0.0656673i
\(441\) 14.8439 + 14.8546i 0.706853 + 0.707361i
\(442\) 0.493239 + 1.04419i 0.0234610 + 0.0496671i
\(443\) −6.56417 3.78983i −0.311873 0.180060i 0.335891 0.941901i \(-0.390963\pi\)
−0.647764 + 0.761841i \(0.724296\pi\)
\(444\) 6.99028 16.7498i 0.331744 0.794913i
\(445\) 6.09241 10.5524i 0.288808 0.500230i
\(446\) −0.632197 1.09500i −0.0299354 0.0518497i
\(447\) 0.823143 + 6.38359i 0.0389333 + 0.301934i
\(448\) 0.0521158 + 21.0046i 0.00246224 + 0.992373i
\(449\) −31.9151 18.4262i −1.50617 0.869586i −0.999974 0.00716492i \(-0.997719\pi\)
−0.506192 0.862421i \(-0.668947\pi\)
\(450\) −0.105037 0.0287444i −0.00495148 0.00135502i
\(451\) 4.79383i 0.225733i
\(452\) −3.17627 1.83382i −0.149399 0.0862557i
\(453\) 33.1530 4.27497i 1.55766 0.200856i
\(454\) 0.283495i 0.0133051i
\(455\) −22.7416 1.81912i −1.06614 0.0852818i
\(456\) −1.72378 + 0.222275i −0.0807233 + 0.0104090i
\(457\) −15.2305 −0.712451 −0.356226 0.934400i \(-0.615937\pi\)
−0.356226 + 0.934400i \(0.615937\pi\)
\(458\) 0.370101 0.641034i 0.0172937 0.0299535i
\(459\) 30.5836 12.3831i 1.42752 0.577992i
\(460\) −15.6783 9.05186i −0.731004 0.422045i
\(461\) −6.56203 + 11.3658i −0.305624 + 0.529356i −0.977400 0.211398i \(-0.932198\pi\)
0.671776 + 0.740754i \(0.265532\pi\)
\(462\) −0.604940 + 0.464014i −0.0281443 + 0.0215879i
\(463\) −4.01885 −0.186772 −0.0933859 0.995630i \(-0.529769\pi\)
−0.0933859 + 0.995630i \(0.529769\pi\)
\(464\) 8.58835 4.95849i 0.398704 0.230192i
\(465\) −19.4641 8.12303i −0.902625 0.376696i
\(466\) −0.355377 + 0.615530i −0.0164625 + 0.0285139i
\(467\) −3.22927 + 5.59327i −0.149433 + 0.258825i −0.931018 0.364973i \(-0.881078\pi\)
0.781585 + 0.623799i \(0.214411\pi\)
\(468\) 20.3002 + 7.39686i 0.938375 + 0.341920i
\(469\) −3.30196 1.89548i −0.152470 0.0875251i
\(470\) −0.451692 + 0.260785i −0.0208350 + 0.0120291i
\(471\) 1.47227 + 11.4177i 0.0678387 + 0.526098i
\(472\) 0.571717i 0.0263154i
\(473\) −1.25157 + 0.722594i −0.0575472 + 0.0332249i
\(474\) 0.322961 0.246454i 0.0148341 0.0113200i
\(475\) 3.10174 + 1.79079i 0.142317 + 0.0821670i
\(476\) −0.0832629 33.5580i −0.00381635 1.53813i
\(477\) 39.2601 + 10.7439i 1.79760 + 0.491931i
\(478\) −1.20957 −0.0553246
\(479\) −12.0197 + 20.8188i −0.549195 + 0.951233i 0.449135 + 0.893464i \(0.351732\pi\)
−0.998330 + 0.0577693i \(0.981601\pi\)
\(480\) 1.98982 1.51845i 0.0908224 0.0693073i
\(481\) −17.1031 + 8.07889i −0.779832 + 0.368366i
\(482\) −0.785506 −0.0357788
\(483\) 6.64879 16.0435i 0.302531 0.730003i
\(484\) −0.120403 0.208544i −0.00547286 0.00947928i
\(485\) 26.4392 15.2647i 1.20054 0.693134i
\(486\) −0.310532 + 0.722359i −0.0140860 + 0.0327669i
\(487\) 11.1262 0.504177 0.252088 0.967704i \(-0.418883\pi\)
0.252088 + 0.967704i \(0.418883\pi\)
\(488\) 0.287209 + 0.497460i 0.0130013 + 0.0225190i
\(489\) −33.2878 + 4.29236i −1.50533 + 0.194107i
\(490\) −0.733371 0.418573i −0.0331303 0.0189092i
\(491\) 0.596057 0.344134i 0.0268997 0.0155305i −0.486490 0.873686i \(-0.661723\pi\)
0.513390 + 0.858156i \(0.328390\pi\)
\(492\) −4.98697 + 0.643053i −0.224830 + 0.0289911i
\(493\) −13.6861 + 7.90170i −0.616393 + 0.355875i
\(494\) 0.743970 + 0.515449i 0.0334728 + 0.0231911i
\(495\) −22.8259 6.24655i −1.02595 0.280762i
\(496\) 17.5705 10.1443i 0.788939 0.455494i
\(497\) 7.82425 13.6300i 0.350966 0.611389i
\(498\) 1.31189 + 0.547495i 0.0587870 + 0.0245338i
\(499\) 7.85879 13.6118i 0.351808 0.609349i −0.634759 0.772711i \(-0.718900\pi\)
0.986566 + 0.163362i \(0.0522338\pi\)
\(500\) 20.4475 0.914440
\(501\) −29.5790 + 3.81411i −1.32149 + 0.170402i
\(502\) −0.509058 0.293905i −0.0227204 0.0131176i
\(503\) −4.12748 + 7.14901i −0.184035 + 0.318758i −0.943251 0.332081i \(-0.892249\pi\)
0.759216 + 0.650839i \(0.225583\pi\)
\(504\) 1.12843 + 1.13486i 0.0502643 + 0.0505506i
\(505\) 18.4169 + 31.8990i 0.819541 + 1.41949i
\(506\) 0.546025 + 0.315247i 0.0242738 + 0.0140145i
\(507\) −10.5419 19.8964i −0.468183 0.883632i
\(508\) 4.70407 + 8.14769i 0.208709 + 0.361495i
\(509\) −8.21856 −0.364281 −0.182141 0.983273i \(-0.558303\pi\)
−0.182141 + 0.983273i \(0.558303\pi\)
\(510\) −1.05473 + 0.804872i −0.0467042 + 0.0356403i
\(511\) 7.35845 + 12.6725i 0.325519 + 0.560598i
\(512\) 4.01467i 0.177425i
\(513\) 15.9058 20.3897i 0.702257 0.900229i
\(514\) 0 0.000859331i 0 3.79035e-5i
\(515\) −19.9822 + 11.5367i −0.880520 + 0.508369i
\(516\) 0.919593 + 1.20506i 0.0404828 + 0.0530499i
\(517\) −12.3506 + 7.13062i −0.543179 + 0.313604i
\(518\) −0.700097 + 0.00173706i −0.0307605 + 7.63218e-5i
\(519\) 1.78689 0.230413i 0.0784357 0.0101140i
\(520\) −1.73277 0.142934i −0.0759870 0.00626806i
\(521\) 16.9788 + 29.4082i 0.743856 + 1.28840i 0.950727 + 0.310028i \(0.100339\pi\)
−0.206871 + 0.978368i \(0.566328\pi\)
\(522\) 0.0994039 0.363238i 0.00435079 0.0158985i
\(523\) 25.7982i 1.12807i 0.825749 + 0.564037i \(0.190753\pi\)
−0.825749 + 0.564037i \(0.809247\pi\)
\(524\) 16.2543 28.1533i 0.710072 1.22988i
\(525\) −0.429877 3.26977i −0.0187614 0.142705i
\(526\) 0.278415 0.482229i 0.0121395 0.0210262i
\(527\) −27.9998 + 16.1657i −1.21969 + 0.704189i
\(528\) 18.0973 13.8102i 0.787586 0.601014i
\(529\) 8.63813 0.375571
\(530\) −1.63670 −0.0710938
\(531\) 5.98284 + 6.04686i 0.259633 + 0.262411i
\(532\) −13.2069 22.7446i −0.572594 0.986103i
\(533\) 4.30742 + 2.98433i 0.186575 + 0.129266i
\(534\) 0.410773 + 0.171430i 0.0177759 + 0.00741849i
\(535\) −33.1376 19.1320i −1.43266 0.827148i
\(536\) −0.251281 0.145077i −0.0108537 0.00626637i
\(537\) −4.31882 + 3.29573i −0.186371 + 0.142221i
\(538\) 0.757537i 0.0326597i
\(539\) −20.0525 11.4450i −0.863724 0.492973i
\(540\) −3.43631 + 24.5834i −0.147875 + 1.05790i
\(541\) −6.70147 + 11.6073i −0.288119 + 0.499036i −0.973361 0.229279i \(-0.926363\pi\)
0.685242 + 0.728315i \(0.259696\pi\)
\(542\) 0.668952 0.0287340
\(543\) −33.3629 13.9235i −1.43174 0.597513i
\(544\) 3.83697i 0.164509i
\(545\) −6.41369 −0.274732
\(546\) −0.0403358 0.832424i −0.00172621 0.0356245i
\(547\) 27.6554 1.18246 0.591230 0.806503i \(-0.298642\pi\)
0.591230 + 0.806503i \(0.298642\pi\)
\(548\) 17.7272i 0.757271i
\(549\) −8.24348 2.25592i −0.351823 0.0962802i
\(550\) 0.119731 0.00510533
\(551\) −6.19290 + 10.7264i −0.263826 + 0.456961i
\(552\) 0.509731 1.22140i 0.0216956 0.0519862i
\(553\) 10.6700 + 6.12510i 0.453736 + 0.260466i
\(554\) 1.16155i 0.0493497i
\(555\) −13.1832 17.2757i −0.559596 0.733311i
\(556\) 9.40101 + 5.42767i 0.398691 + 0.230185i
\(557\) −12.0281 6.94444i −0.509648 0.294245i 0.223041 0.974809i \(-0.428402\pi\)
−0.732689 + 0.680564i \(0.761735\pi\)
\(558\) 0.203366 0.743131i 0.00860915 0.0314592i
\(559\) 0.129872 1.57442i 0.00549298 0.0665908i
\(560\) 21.8668 + 12.5526i 0.924041 + 0.530443i
\(561\) −28.8394 + 22.0076i −1.21760 + 0.929161i
\(562\) −0.561454 −0.0236835
\(563\) 11.6814 0.492312 0.246156 0.969230i \(-0.420832\pi\)
0.246156 + 0.969230i \(0.420832\pi\)
\(564\) 9.07463 + 11.8917i 0.382111 + 0.500729i
\(565\) −3.80300 + 2.19566i −0.159993 + 0.0923721i
\(566\) −0.545872 + 0.945478i −0.0229447 + 0.0397414i
\(567\) −23.8110 0.194334i −0.999967 0.00816126i
\(568\) 0.598855 1.03725i 0.0251274 0.0435220i
\(569\) 14.4187i 0.604465i −0.953234 0.302233i \(-0.902268\pi\)
0.953234 0.302233i \(-0.0977320\pi\)
\(570\) −0.400482 + 0.959618i −0.0167743 + 0.0401940i
\(571\) −1.58864 2.75161i −0.0664827 0.115151i 0.830868 0.556469i \(-0.187844\pi\)
−0.897351 + 0.441318i \(0.854511\pi\)
\(572\) −23.6744 1.95287i −0.989878 0.0816536i
\(573\) −5.37544 41.6873i −0.224562 1.74151i
\(574\) 0.0973940 + 0.167729i 0.00406515 + 0.00700087i
\(575\) −2.36192 + 1.36366i −0.0984989 + 0.0568684i
\(576\) −16.7513 16.9305i −0.697972 0.705440i
\(577\) 28.1688 16.2633i 1.17268 0.677048i 0.218371 0.975866i \(-0.429926\pi\)
0.954310 + 0.298818i \(0.0965922\pi\)
\(578\) 1.17636i 0.0489301i
\(579\) 1.62738 + 2.13256i 0.0676315 + 0.0886263i
\(580\) 11.8889i 0.493659i
\(581\) 0.106815 + 43.0502i 0.00443142 + 1.78603i
\(582\) 0.676555 + 0.886578i 0.0280441 + 0.0367498i
\(583\) −44.7523 −1.85345
\(584\) 0.558383 + 0.967148i 0.0231061 + 0.0400209i
\(585\) 19.8227 16.6211i 0.819567 0.687200i
\(586\) 0.186076 + 0.107431i 0.00768674 + 0.00443794i
\(587\) 15.9879 + 27.6918i 0.659890 + 1.14296i 0.980644 + 0.195800i \(0.0627304\pi\)
−0.320754 + 0.947163i \(0.603936\pi\)
\(588\) −9.21625 + 22.3957i −0.380072 + 0.923582i
\(589\) −12.6698 + 21.9447i −0.522048 + 0.904214i
\(590\) −0.296219 0.171022i −0.0121952 0.00704087i
\(591\) 4.66522 + 36.1795i 0.191902 + 1.48822i
\(592\) 20.9044 0.859167
\(593\) −9.25724 + 16.0340i −0.380149 + 0.658438i −0.991083 0.133244i \(-0.957461\pi\)
0.610934 + 0.791681i \(0.290794\pi\)
\(594\) 0.119676 0.856162i 0.00491035 0.0351288i
\(595\) −34.8463 20.0034i −1.42856 0.820060i
\(596\) −6.42826 + 3.71136i −0.263312 + 0.152023i
\(597\) −32.0691 13.3835i −1.31250 0.547751i
\(598\) −0.623180 + 0.294369i −0.0254837 + 0.0120376i
\(599\) −17.5513 + 10.1332i −0.717125 + 0.414033i −0.813694 0.581294i \(-0.802547\pi\)
0.0965683 + 0.995326i \(0.469213\pi\)
\(600\) −0.0321422 0.249267i −0.00131220 0.0101763i
\(601\) 28.7369 16.5912i 1.17220 0.676771i 0.218004 0.975948i \(-0.430045\pi\)
0.954198 + 0.299177i \(0.0967120\pi\)
\(602\) 0.0291099 0.0507100i 0.00118643 0.00206679i
\(603\) 4.17590 1.09515i 0.170056 0.0445978i
\(604\) 19.2748 + 33.3850i 0.784282 + 1.35842i
\(605\) −0.288320 −0.0117219
\(606\) −1.06966 + 0.816265i −0.0434519 + 0.0331585i
\(607\) 8.60080 4.96568i 0.349096 0.201551i −0.315191 0.949028i \(-0.602069\pi\)
0.664287 + 0.747478i \(0.268735\pi\)
\(608\) −1.50360 2.60431i −0.0609790 0.105619i
\(609\) 11.3075 1.48660i 0.458204 0.0602400i
\(610\) 0.343660 0.0139144
\(611\) 1.28158 15.5365i 0.0518473 0.628539i
\(612\) 26.7628 + 27.0491i 1.08182 + 1.09340i
\(613\) −11.9041 + 20.6186i −0.480803 + 0.832776i −0.999757 0.0220265i \(-0.992988\pi\)
0.518954 + 0.854802i \(0.326322\pi\)
\(614\) 1.17797 0.0475390
\(615\) −2.31870 + 5.55597i −0.0934989 + 0.224039i
\(616\) −1.52602 0.876006i −0.0614850 0.0352953i
\(617\) 24.2100 + 13.9777i 0.974659 + 0.562720i 0.900653 0.434538i \(-0.143088\pi\)
0.0740057 + 0.997258i \(0.476422\pi\)
\(618\) −0.511326 0.670056i −0.0205685 0.0269536i
\(619\) −10.8076 + 6.23976i −0.434393 + 0.250797i −0.701216 0.712949i \(-0.747359\pi\)
0.266823 + 0.963745i \(0.414026\pi\)
\(620\) 24.3229i 0.976832i
\(621\) 7.39031 + 18.2525i 0.296563 + 0.732448i
\(622\) −0.954240 + 0.550931i −0.0382615 + 0.0220903i
\(623\) 0.0334455 + 13.4798i 0.00133996 + 0.540055i
\(624\) 1.14272 + 24.8585i 0.0457455 + 0.995134i
\(625\) 14.0402 24.3183i 0.561608 0.972734i
\(626\) −0.328088 + 0.568265i −0.0131130 + 0.0227124i
\(627\) −10.9503 + 26.2388i −0.437315 + 1.04788i
\(628\) −11.4976 + 6.63812i −0.458802 + 0.264890i
\(629\) −33.3127 −1.32826
\(630\) 0.925551 0.245186i 0.0368749 0.00976842i
\(631\) 0.0948913 0.164357i 0.00377756 0.00654293i −0.864130 0.503268i \(-0.832131\pi\)
0.867908 + 0.496725i \(0.165464\pi\)
\(632\) 0.811994 + 0.468805i 0.0322994 + 0.0186481i
\(633\) −31.2427 + 4.02864i −1.24179 + 0.160124i
\(634\) 0.536737 0.929656i 0.0213166 0.0369214i
\(635\) 11.2645 0.447018
\(636\) 6.00315 + 46.5553i 0.238040 + 1.84604i
\(637\) 22.7672 10.8929i 0.902068 0.431594i
\(638\) 0.414052i 0.0163925i
\(639\) 4.52059 + 17.2375i 0.178832 + 0.681903i
\(640\) 3.33239 + 1.92396i 0.131724 + 0.0760511i
\(641\) 23.8442i 0.941790i −0.882189 0.470895i \(-0.843931\pi\)
0.882189 0.470895i \(-0.156069\pi\)
\(642\) 0.538341 1.28995i 0.0212466 0.0509103i
\(643\) 30.1098 + 17.3839i 1.18741 + 0.685553i 0.957718 0.287709i \(-0.0928936\pi\)
0.229696 + 0.973263i \(0.426227\pi\)
\(644\) 20.0277 0.0496919i 0.789201 0.00195814i
\(645\) 1.80006 0.232111i 0.0708771 0.00913937i
\(646\) 0.797002 + 1.38045i 0.0313576 + 0.0543130i
\(647\) −6.37831 + 11.0476i −0.250757 + 0.434324i −0.963735 0.266863i \(-0.914013\pi\)
0.712977 + 0.701187i \(0.247346\pi\)
\(648\) −1.81457 0.0193123i −0.0712831 0.000758660i
\(649\) −8.09951 4.67625i −0.317934 0.183559i
\(650\) −0.0745366 + 0.107582i −0.00292356 + 0.00421971i
\(651\) 23.1335 3.04136i 0.906674 0.119200i
\(652\) −19.3532 33.5207i −0.757930 1.31277i
\(653\) 12.3645i 0.483861i 0.970294 + 0.241931i \(0.0777806\pi\)
−0.970294 + 0.241931i \(0.922219\pi\)
\(654\) −0.0299630 0.232367i −0.00117165 0.00908628i
\(655\) −19.4615 33.7083i −0.760423 1.31709i
\(656\) −2.89567 5.01545i −0.113057 0.195821i
\(657\) −16.0267 4.38589i −0.625263 0.171110i
\(658\) 0.287259 0.500411i 0.0111985 0.0195080i
\(659\) −7.20356 4.15898i −0.280611 0.162011i 0.353089 0.935590i \(-0.385131\pi\)
−0.633700 + 0.773579i \(0.718465\pi\)
\(660\) −3.49024 27.0673i −0.135858 1.05359i
\(661\) −28.7318 16.5883i −1.11754 0.645210i −0.176765 0.984253i \(-0.556563\pi\)
−0.940771 + 0.339043i \(0.889897\pi\)
\(662\) −0.296634 + 0.171261i −0.0115290 + 0.00665627i
\(663\) −1.82101 39.6137i −0.0707221 1.53847i
\(664\) 3.28083i 0.127321i
\(665\) −31.4904 + 0.0781328i −1.22114 + 0.00302986i
\(666\) 0.564307 0.558334i 0.0218665 0.0216350i
\(667\) −4.71579 8.16799i −0.182596 0.316266i
\(668\) −17.1969 29.7860i −0.665369 1.15245i
\(669\) 5.55265 + 43.0616i 0.214678 + 1.66486i
\(670\) −0.150335 + 0.0867960i −0.00580795 + 0.00335322i
\(671\) 9.39669 0.362755
\(672\) −1.06012 + 2.55805i −0.0408950 + 0.0986791i
\(673\) −10.9583 18.9804i −0.422412 0.731640i 0.573762 0.819022i \(-0.305483\pi\)
−0.996175 + 0.0873819i \(0.972150\pi\)
\(674\) 1.37199i 0.0528470i
\(675\) 2.94846 + 2.30006i 0.113486 + 0.0885292i
\(676\) 16.4929 20.0566i 0.634342 0.771406i
\(677\) 16.0223 27.7515i 0.615787 1.06658i −0.374458 0.927244i \(-0.622171\pi\)
0.990246 0.139331i \(-0.0444953\pi\)
\(678\) −0.0973151 0.127525i −0.00373736 0.00489755i
\(679\) −16.8143 + 29.2909i −0.645275 + 1.12408i
\(680\) −2.65182 1.53103i −0.101693 0.0587122i
\(681\) 3.74931 8.98395i 0.143674 0.344266i
\(682\) 0.847090i 0.0324367i
\(683\) 18.2613i 0.698749i 0.936983 + 0.349374i \(0.113606\pi\)
−0.936983 + 0.349374i \(0.886394\pi\)
\(684\) 28.7648 + 7.87180i 1.09985 + 0.300986i
\(685\) 18.3815 + 10.6125i 0.702319 + 0.405484i
\(686\) 0.934131 0.00695331i 0.0356653 0.000265478i
\(687\) −20.2064 + 15.4197i −0.770922 + 0.588297i
\(688\) −0.872953 + 1.51200i −0.0332810 + 0.0576445i
\(689\) 27.8599 40.2114i 1.06138 1.53193i
\(690\) −0.480354 0.629470i −0.0182868 0.0239635i
\(691\) 24.0040i 0.913156i 0.889683 + 0.456578i \(0.150925\pi\)
−0.889683 + 0.456578i \(0.849075\pi\)
\(692\) 1.03888 + 1.79939i 0.0394922 + 0.0684025i
\(693\) 25.3073 6.70410i 0.961345 0.254668i
\(694\) 1.33195 0.0505602
\(695\) 11.2560 6.49863i 0.426963 0.246507i
\(696\) 0.862016 0.111154i 0.0326746 0.00421328i
\(697\) 4.61446 + 7.99248i 0.174785 + 0.302737i
\(698\) −0.153214 0.265374i −0.00579922 0.0100445i
\(699\) 19.4025 14.8062i 0.733870 0.560022i
\(700\) 3.28899 1.90979i 0.124312 0.0721834i
\(701\) 21.5626i 0.814410i 0.913337 + 0.407205i \(0.133496\pi\)
−0.913337 + 0.407205i \(0.866504\pi\)
\(702\) 0.694788 + 0.640524i 0.0262231 + 0.0241750i
\(703\) −22.6107 + 13.0543i −0.852778 + 0.492352i
\(704\) 22.6778 + 13.0930i 0.854700 + 0.493461i
\(705\) 17.7631 2.29049i 0.668997 0.0862650i
\(706\) 1.10159 + 0.636003i 0.0414589 + 0.0239363i
\(707\) −35.3395 20.2866i −1.32908 0.762954i
\(708\) −3.77817 + 9.05310i −0.141992 + 0.340236i
\(709\) 7.76763 + 13.4539i 0.291719 + 0.505273i 0.974216 0.225616i \(-0.0724393\pi\)
−0.682497 + 0.730888i \(0.739106\pi\)
\(710\) −0.358281 0.620560i −0.0134460 0.0232892i
\(711\) −13.4941 + 3.53888i −0.506068 + 0.132718i
\(712\) 1.02728i 0.0384991i
\(713\) −9.64781 16.7105i −0.361313 0.625813i
\(714\) 0.561929 1.35593i 0.0210297 0.0507443i
\(715\) −16.1978 + 23.3790i −0.605764 + 0.874326i
\(716\) −5.42577 3.13257i −0.202771 0.117070i
\(717\) 38.3314 + 15.9970i 1.43151 + 0.597419i
\(718\) 0.349059 0.604589i 0.0130268 0.0225631i
\(719\) 12.0233 + 20.8250i 0.448394 + 0.776642i 0.998282 0.0585970i \(-0.0186627\pi\)
−0.549887 + 0.835239i \(0.685329\pi\)
\(720\) −27.6543 + 7.25246i −1.03062 + 0.270283i
\(721\) 12.7079 22.1374i 0.473268 0.824441i
\(722\) 0.251957 + 0.145467i 0.00937686 + 0.00541373i
\(723\) 24.8927 + 10.3886i 0.925771 + 0.386356i
\(724\) 41.6913i 1.54944i
\(725\) −1.55110 0.895526i −0.0576063 0.0332590i
\(726\) −0.00134695 0.0104458i −4.99902e−5 0.000387681i
\(727\) 14.4681i 0.536592i −0.963337 0.268296i \(-0.913539\pi\)
0.963337 0.268296i \(-0.0864605\pi\)
\(728\) 1.73712 0.825834i 0.0643820 0.0306075i
\(729\) 19.3942 18.7847i 0.718304 0.695729i
\(730\) 0.668135 0.0247288
\(731\) 1.39111 2.40948i 0.0514522 0.0891178i
\(732\) −1.26049 9.77526i −0.0465890 0.361304i
\(733\) 33.3177 + 19.2360i 1.23062 + 0.710496i 0.967158 0.254175i \(-0.0818038\pi\)
0.263457 + 0.964671i \(0.415137\pi\)
\(734\) −0.499751 + 0.865595i −0.0184462 + 0.0319497i
\(735\) 17.7048 + 22.9637i 0.653051 + 0.847028i
\(736\) 2.28993 0.0844080
\(737\) −4.11061 + 2.37326i −0.151416 + 0.0874202i
\(738\) −0.212125 0.0580502i −0.00780842 0.00213686i
\(739\) −3.00764 + 5.20938i −0.110638 + 0.191630i −0.916028 0.401115i \(-0.868623\pi\)
0.805390 + 0.592745i \(0.201956\pi\)
\(740\) 12.5306 21.7036i 0.460633 0.797839i
\(741\) −16.7595 26.1739i −0.615675 0.961521i
\(742\) 1.56581 0.909211i 0.0574829 0.0333782i
\(743\) −27.6154 + 15.9438i −1.01311 + 0.584920i −0.912101 0.409965i \(-0.865541\pi\)
−0.101010 + 0.994885i \(0.532208\pi\)
\(744\) 1.76356 0.227405i 0.0646551 0.00833706i
\(745\) 8.88732i 0.325606i
\(746\) −0.767334 + 0.443021i −0.0280941 + 0.0162201i
\(747\) −34.3329 34.7003i −1.25618 1.26962i
\(748\) −36.2312 20.9181i −1.32474 0.764841i
\(749\) 42.3304 0.105029i 1.54672 0.00383767i
\(750\) 0.825337 + 0.344441i 0.0301371 + 0.0125772i
\(751\) −10.3516 −0.377736 −0.188868 0.982003i \(-0.560482\pi\)
−0.188868 + 0.982003i \(0.560482\pi\)
\(752\) −8.61438 + 14.9205i −0.314134 + 0.544096i
\(753\) 12.2451 + 16.0463i 0.446236 + 0.584761i
\(754\) −0.372040 0.257762i −0.0135489 0.00938715i
\(755\) 46.1560 1.67979
\(756\) −10.3690 25.4276i −0.377115 0.924793i
\(757\) 2.99136 + 5.18119i 0.108723 + 0.188313i 0.915253 0.402879i \(-0.131991\pi\)
−0.806530 + 0.591193i \(0.798657\pi\)
\(758\) −0.807498 + 0.466209i −0.0293297 + 0.0169335i
\(759\) −13.1343 17.2116i −0.476744 0.624740i
\(760\) −2.39986 −0.0870522
\(761\) −0.956390 1.65652i −0.0346691 0.0600487i 0.848170 0.529724i \(-0.177704\pi\)
−0.882839 + 0.469675i \(0.844371\pi\)
\(762\) 0.0526247 + 0.408112i 0.00190639 + 0.0147843i
\(763\) 6.13590 3.56289i 0.222135 0.128985i
\(764\) 41.9790 24.2366i 1.51875 0.876849i
\(765\) 44.0691 11.5573i 1.59332 0.417855i
\(766\) −0.138260 + 0.0798247i −0.00499555 + 0.00288418i
\(767\) 9.24401 4.36655i 0.333782 0.157667i
\(768\) 10.5378 25.2503i 0.380250 0.911141i
\(769\) 3.32745 1.92110i 0.119991 0.0692768i −0.438803 0.898583i \(-0.644598\pi\)
0.558794 + 0.829306i \(0.311264\pi\)
\(770\) −0.910368 + 0.528617i −0.0328074 + 0.0190500i
\(771\) 0.0113649 0.0272322i 0.000409298 0.000980745i
\(772\) −1.54681 + 2.67916i −0.0556710 + 0.0964250i