Properties

Label 105.2.x.a.2.6
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 2.6
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0799329 - 0.298314i) q^{2} +(1.29105 - 1.15464i) q^{3} +(1.64945 - 0.952310i) q^{4} +(-0.596180 + 2.15513i) q^{5} +(-0.447643 - 0.292843i) q^{6} +(-2.46856 + 0.951942i) q^{7} +(-0.852694 - 0.852694i) q^{8} +(0.333606 - 2.98139i) q^{9} +O(q^{10})\) \(q+(-0.0799329 - 0.298314i) q^{2} +(1.29105 - 1.15464i) q^{3} +(1.64945 - 0.952310i) q^{4} +(-0.596180 + 2.15513i) q^{5} +(-0.447643 - 0.292843i) q^{6} +(-2.46856 + 0.951942i) q^{7} +(-0.852694 - 0.852694i) q^{8} +(0.333606 - 2.98139i) q^{9} +(0.690558 + 0.00558322i) q^{10} +(-0.660315 + 0.381233i) q^{11} +(1.02994 - 3.13400i) q^{12} +(-2.27077 + 2.27077i) q^{13} +(0.481297 + 0.660315i) q^{14} +(1.71870 + 3.47074i) q^{15} +(1.71841 - 2.97637i) q^{16} +(4.69471 + 1.25794i) q^{17} +(-0.916057 + 0.138792i) q^{18} +(-1.41761 - 0.818455i) q^{19} +(1.06898 + 4.12252i) q^{20} +(-2.08788 + 4.07931i) q^{21} +(0.166508 + 0.166508i) q^{22} +(-7.39003 + 1.98015i) q^{23} +(-2.08542 - 0.116312i) q^{24} +(-4.28914 - 2.56969i) q^{25} +(0.858909 + 0.495891i) q^{26} +(-3.01174 - 4.23432i) q^{27} +(-3.16523 + 3.92102i) q^{28} +4.94251 q^{29} +(0.897990 - 0.790139i) q^{30} +(2.96413 + 5.13403i) q^{31} +(-3.35485 - 0.898930i) q^{32} +(-0.412310 + 1.25462i) q^{33} -1.50105i q^{34} +(-0.579845 - 5.88760i) q^{35} +(-2.28894 - 5.23535i) q^{36} +(3.41587 - 0.915280i) q^{37} +(-0.130843 + 0.488313i) q^{38} +(-0.309745 + 5.55358i) q^{39} +(2.34602 - 1.32930i) q^{40} +4.35963i q^{41} +(1.38380 + 0.296773i) q^{42} +(2.69037 - 2.69037i) q^{43} +(-0.726104 + 1.25765i) q^{44} +(6.22639 + 2.49641i) q^{45} +(1.18141 + 2.04627i) q^{46} +(-1.10971 - 4.14148i) q^{47} +(-1.21809 - 5.82678i) q^{48} +(5.18761 - 4.69986i) q^{49} +(-0.423730 + 1.48491i) q^{50} +(7.51357 - 3.79665i) q^{51} +(-1.58304 + 5.90798i) q^{52} +(1.79889 - 6.71354i) q^{53} +(-1.02242 + 1.23690i) q^{54} +(-0.427939 - 1.65035i) q^{55} +(2.91664 + 1.29321i) q^{56} +(-2.77522 + 0.580162i) q^{57} +(-0.395069 - 1.47442i) q^{58} +(-3.84501 - 6.65975i) q^{59} +(6.14013 + 4.08808i) q^{60} +(-2.19699 + 3.80529i) q^{61} +(1.29462 - 1.29462i) q^{62} +(2.01458 + 7.67733i) q^{63} -5.80098i q^{64} +(-3.54000 - 6.24757i) q^{65} +(0.407227 + 0.0227126i) q^{66} +(0.0126297 - 0.0471345i) q^{67} +(8.94164 - 2.39591i) q^{68} +(-7.25451 + 11.0893i) q^{69} +(-1.71000 + 0.643588i) q^{70} -12.4172i q^{71} +(-2.82668 + 2.25775i) q^{72} +(-1.34043 - 0.359168i) q^{73} +(-0.546081 - 0.945840i) q^{74} +(-8.50455 + 1.63483i) q^{75} -3.11769 q^{76} +(1.26712 - 1.56968i) q^{77} +(1.68147 - 0.351513i) q^{78} +(3.66808 + 2.11777i) q^{79} +(5.38997 + 5.47784i) q^{80} +(-8.77741 - 1.98922i) q^{81} +(1.30054 - 0.348478i) q^{82} +(5.05351 + 5.05351i) q^{83} +(0.440911 + 8.71692i) q^{84} +(-5.50993 + 9.36774i) q^{85} +(-1.01762 - 0.587525i) q^{86} +(6.38101 - 5.70683i) q^{87} +(0.888122 + 0.237971i) q^{88} +(0.453600 - 0.785658i) q^{89} +(0.247020 - 2.05696i) q^{90} +(3.44389 - 7.76716i) q^{91} +(-10.3038 + 10.3038i) q^{92} +(9.75480 + 3.20576i) q^{93} +(-1.14676 + 0.662081i) q^{94} +(2.60902 - 2.56717i) q^{95} +(-5.36921 + 2.71309i) q^{96} +(3.73061 + 3.73061i) q^{97} +(-1.81669 - 1.17186i) q^{98} +(0.916321 + 2.09584i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0799329 0.298314i −0.0565211 0.210940i 0.931890 0.362741i \(-0.118159\pi\)
−0.988411 + 0.151802i \(0.951492\pi\)
\(3\) 1.29105 1.15464i 0.745386 0.666633i
\(4\) 1.64945 0.952310i 0.824725 0.476155i
\(5\) −0.596180 + 2.15513i −0.266620 + 0.963802i
\(6\) −0.447643 0.292843i −0.182749 0.119553i
\(7\) −2.46856 + 0.951942i −0.933029 + 0.359800i
\(8\) −0.852694 0.852694i −0.301473 0.301473i
\(9\) 0.333606 2.98139i 0.111202 0.993798i
\(10\) 0.690558 + 0.00558322i 0.218374 + 0.00176557i
\(11\) −0.660315 + 0.381233i −0.199092 + 0.114946i −0.596232 0.802812i \(-0.703336\pi\)
0.397140 + 0.917758i \(0.370003\pi\)
\(12\) 1.02994 3.13400i 0.297318 0.904708i
\(13\) −2.27077 + 2.27077i −0.629797 + 0.629797i −0.948017 0.318220i \(-0.896915\pi\)
0.318220 + 0.948017i \(0.396915\pi\)
\(14\) 0.481297 + 0.660315i 0.128632 + 0.176477i
\(15\) 1.71870 + 3.47074i 0.443767 + 0.896142i
\(16\) 1.71841 2.97637i 0.429602 0.744092i
\(17\) 4.69471 + 1.25794i 1.13864 + 0.305096i 0.778402 0.627766i \(-0.216030\pi\)
0.360233 + 0.932862i \(0.382697\pi\)
\(18\) −0.916057 + 0.138792i −0.215917 + 0.0327136i
\(19\) −1.41761 0.818455i −0.325221 0.187767i 0.328496 0.944505i \(-0.393458\pi\)
−0.653717 + 0.756739i \(0.726791\pi\)
\(20\) 1.06898 + 4.12252i 0.239031 + 0.921823i
\(21\) −2.08788 + 4.07931i −0.455613 + 0.890178i
\(22\) 0.166508 + 0.166508i 0.0354996 + 0.0354996i
\(23\) −7.39003 + 1.98015i −1.54093 + 0.412890i −0.926566 0.376133i \(-0.877253\pi\)
−0.614363 + 0.789024i \(0.710587\pi\)
\(24\) −2.08542 0.116312i −0.425685 0.0237422i
\(25\) −4.28914 2.56969i −0.857828 0.513937i
\(26\) 0.858909 + 0.495891i 0.168446 + 0.0972523i
\(27\) −3.01174 4.23432i −0.579610 0.814894i
\(28\) −3.16523 + 3.92102i −0.598172 + 0.741003i
\(29\) 4.94251 0.917801 0.458900 0.888488i \(-0.348243\pi\)
0.458900 + 0.888488i \(0.348243\pi\)
\(30\) 0.897990 0.790139i 0.163950 0.144259i
\(31\) 2.96413 + 5.13403i 0.532374 + 0.922099i 0.999286 + 0.0377949i \(0.0120334\pi\)
−0.466911 + 0.884304i \(0.654633\pi\)
\(32\) −3.35485 0.898930i −0.593060 0.158910i
\(33\) −0.412310 + 1.25462i −0.0717740 + 0.218401i
\(34\) 1.50105i 0.257428i
\(35\) −0.579845 5.88760i −0.0980117 0.995185i
\(36\) −2.28894 5.23535i −0.381491 0.872559i
\(37\) 3.41587 0.915280i 0.561566 0.150471i 0.0331401 0.999451i \(-0.489449\pi\)
0.528426 + 0.848980i \(0.322783\pi\)
\(38\) −0.130843 + 0.488313i −0.0212255 + 0.0792148i
\(39\) −0.309745 + 5.55358i −0.0495990 + 0.889285i
\(40\) 2.34602 1.32930i 0.370939 0.210181i
\(41\) 4.35963i 0.680860i 0.940270 + 0.340430i \(0.110573\pi\)
−0.940270 + 0.340430i \(0.889427\pi\)
\(42\) 1.38380 + 0.296773i 0.213526 + 0.0457930i
\(43\) 2.69037 2.69037i 0.410277 0.410277i −0.471558 0.881835i \(-0.656308\pi\)
0.881835 + 0.471558i \(0.156308\pi\)
\(44\) −0.726104 + 1.25765i −0.109464 + 0.189598i
\(45\) 6.22639 + 2.49641i 0.928175 + 0.372143i
\(46\) 1.18141 + 2.04627i 0.174190 + 0.301706i
\(47\) −1.10971 4.14148i −0.161867 0.604097i −0.998419 0.0562089i \(-0.982099\pi\)
0.836552 0.547888i \(-0.184568\pi\)
\(48\) −1.21809 5.82678i −0.175817 0.841023i
\(49\) 5.18761 4.69986i 0.741088 0.671408i
\(50\) −0.423730 + 1.48491i −0.0599244 + 0.209998i
\(51\) 7.51357 3.79665i 1.05211 0.531637i
\(52\) −1.58304 + 5.90798i −0.219528 + 0.819290i
\(53\) 1.79889 6.71354i 0.247096 0.922176i −0.725222 0.688515i \(-0.758263\pi\)
0.972318 0.233661i \(-0.0750705\pi\)
\(54\) −1.02242 + 1.23690i −0.139133 + 0.168321i
\(55\) −0.427939 1.65035i −0.0577032 0.222533i
\(56\) 2.91664 + 1.29321i 0.389753 + 0.172813i
\(57\) −2.77522 + 0.580162i −0.367587 + 0.0768444i
\(58\) −0.395069 1.47442i −0.0518751 0.193601i
\(59\) −3.84501 6.65975i −0.500577 0.867026i −1.00000 0.000666931i \(-0.999788\pi\)
0.499422 0.866359i \(-0.333546\pi\)
\(60\) 6.14013 + 4.08808i 0.792688 + 0.527769i
\(61\) −2.19699 + 3.80529i −0.281295 + 0.487218i −0.971704 0.236202i \(-0.924097\pi\)
0.690409 + 0.723420i \(0.257431\pi\)
\(62\) 1.29462 1.29462i 0.164417 0.164417i
\(63\) 2.01458 + 7.67733i 0.253814 + 0.967253i
\(64\) 5.80098i 0.725122i
\(65\) −3.54000 6.24757i −0.439083 0.774916i
\(66\) 0.407227 + 0.0227126i 0.0501261 + 0.00279573i
\(67\) 0.0126297 0.0471345i 0.00154296 0.00575840i −0.965150 0.261697i \(-0.915718\pi\)
0.966693 + 0.255939i \(0.0823845\pi\)
\(68\) 8.94164 2.39591i 1.08433 0.290546i
\(69\) −7.25451 + 11.0893i −0.873341 + 1.33500i
\(70\) −1.71000 + 0.643588i −0.204384 + 0.0769235i
\(71\) 12.4172i 1.47365i −0.676082 0.736826i \(-0.736324\pi\)
0.676082 0.736826i \(-0.263676\pi\)
\(72\) −2.82668 + 2.25775i −0.333127 + 0.266079i
\(73\) −1.34043 0.359168i −0.156886 0.0420374i 0.179521 0.983754i \(-0.442545\pi\)
−0.336407 + 0.941717i \(0.609212\pi\)
\(74\) −0.546081 0.945840i −0.0634806 0.109952i
\(75\) −8.50455 + 1.63483i −0.982021 + 0.188774i
\(76\) −3.11769 −0.357624
\(77\) 1.26712 1.56968i 0.144401 0.178882i
\(78\) 1.68147 0.351513i 0.190389 0.0398010i
\(79\) 3.66808 + 2.11777i 0.412692 + 0.238268i 0.691946 0.721950i \(-0.256754\pi\)
−0.279254 + 0.960217i \(0.590087\pi\)
\(80\) 5.38997 + 5.47784i 0.602617 + 0.612441i
\(81\) −8.77741 1.98922i −0.975268 0.221025i
\(82\) 1.30054 0.348478i 0.143620 0.0384830i
\(83\) 5.05351 + 5.05351i 0.554695 + 0.554695i 0.927792 0.373097i \(-0.121704\pi\)
−0.373097 + 0.927792i \(0.621704\pi\)
\(84\) 0.440911 + 8.71692i 0.0481074 + 0.951094i
\(85\) −5.50993 + 9.36774i −0.597635 + 1.01607i
\(86\) −1.01762 0.587525i −0.109733 0.0633544i
\(87\) 6.38101 5.70683i 0.684116 0.611836i
\(88\) 0.888122 + 0.237971i 0.0946741 + 0.0253678i
\(89\) 0.453600 0.785658i 0.0480815 0.0832796i −0.840983 0.541061i \(-0.818023\pi\)
0.889065 + 0.457782i \(0.151356\pi\)
\(90\) 0.247020 2.05696i 0.0260382 0.216823i
\(91\) 3.44389 7.76716i 0.361018 0.814220i
\(92\) −10.3038 + 10.3038i −1.07424 + 1.07424i
\(93\) 9.75480 + 3.20576i 1.01153 + 0.332422i
\(94\) −1.14676 + 0.662081i −0.118279 + 0.0682884i
\(95\) 2.60902 2.56717i 0.267680 0.263386i
\(96\) −5.36921 + 2.71309i −0.547993 + 0.276904i
\(97\) 3.73061 + 3.73061i 0.378786 + 0.378786i 0.870664 0.491878i \(-0.163689\pi\)
−0.491878 + 0.870664i \(0.663689\pi\)
\(98\) −1.81669 1.17186i −0.183514 0.118376i
\(99\) 0.916321 + 2.09584i 0.0920937 + 0.210640i
\(100\) −9.52185 0.153980i −0.952185 0.0153980i
\(101\) −16.4444 + 9.49420i −1.63628 + 0.944708i −0.654185 + 0.756335i \(0.726988\pi\)
−0.982098 + 0.188373i \(0.939679\pi\)
\(102\) −1.73317 1.93792i −0.171610 0.191883i
\(103\) −3.26921 12.2009i −0.322125 1.20219i −0.917171 0.398494i \(-0.869533\pi\)
0.595046 0.803692i \(-0.297134\pi\)
\(104\) 3.87254 0.379733
\(105\) −7.54667 6.93165i −0.736480 0.676460i
\(106\) −2.14653 −0.208490
\(107\) 0.564395 + 2.10635i 0.0545621 + 0.203629i 0.987826 0.155563i \(-0.0497191\pi\)
−0.933264 + 0.359192i \(0.883052\pi\)
\(108\) −9.00009 4.11618i −0.866034 0.396079i
\(109\) −2.04357 + 1.17986i −0.195739 + 0.113010i −0.594666 0.803973i \(-0.702716\pi\)
0.398928 + 0.916982i \(0.369382\pi\)
\(110\) −0.458114 + 0.259577i −0.0436795 + 0.0247497i
\(111\) 3.35323 5.12578i 0.318275 0.486517i
\(112\) −1.40867 + 8.98318i −0.133107 + 0.848831i
\(113\) 11.9386 + 11.9386i 1.12309 + 1.12309i 0.991274 + 0.131814i \(0.0420801\pi\)
0.131814 + 0.991274i \(0.457920\pi\)
\(114\) 0.394902 + 0.781512i 0.0369859 + 0.0731953i
\(115\) 0.138311 17.1070i 0.0128976 1.59523i
\(116\) 8.15242 4.70680i 0.756933 0.437015i
\(117\) 6.01250 + 7.52759i 0.555856 + 0.695925i
\(118\) −1.67935 + 1.67935i −0.154597 + 0.154597i
\(119\) −12.7867 + 1.36378i −1.17215 + 0.125017i
\(120\) 1.49396 4.42501i 0.136379 0.403946i
\(121\) −5.20932 + 9.02281i −0.473575 + 0.820256i
\(122\) 1.31078 + 0.351223i 0.118673 + 0.0317983i
\(123\) 5.03381 + 5.62849i 0.453884 + 0.507504i
\(124\) 9.77837 + 5.64555i 0.878124 + 0.506985i
\(125\) 8.09510 7.71164i 0.724048 0.689750i
\(126\) 2.12922 1.21465i 0.189686 0.108210i
\(127\) 4.46126 + 4.46126i 0.395873 + 0.395873i 0.876775 0.480901i \(-0.159691\pi\)
−0.480901 + 0.876775i \(0.659691\pi\)
\(128\) −8.44022 + 2.26155i −0.746017 + 0.199895i
\(129\) 0.366982 6.57980i 0.0323109 0.579319i
\(130\) −1.58077 + 1.55542i −0.138643 + 0.136419i
\(131\) −1.86149 1.07473i −0.162639 0.0938999i 0.416471 0.909149i \(-0.363267\pi\)
−0.579111 + 0.815249i \(0.696600\pi\)
\(132\) 0.514699 + 2.46207i 0.0447988 + 0.214296i
\(133\) 4.27857 + 0.670931i 0.370999 + 0.0581771i
\(134\) −0.0150704 −0.00130188
\(135\) 10.9210 3.96626i 0.939932 0.341362i
\(136\) −2.93051 5.07580i −0.251289 0.435246i
\(137\) 8.51678 + 2.28207i 0.727638 + 0.194970i 0.603577 0.797305i \(-0.293742\pi\)
0.124061 + 0.992275i \(0.460408\pi\)
\(138\) 3.88797 + 1.27772i 0.330966 + 0.108767i
\(139\) 10.3626i 0.878941i −0.898257 0.439471i \(-0.855166\pi\)
0.898257 0.439471i \(-0.144834\pi\)
\(140\) −6.56324 9.15910i −0.554695 0.774085i
\(141\) −6.21461 4.06553i −0.523364 0.342380i
\(142\) −3.70423 + 0.992544i −0.310852 + 0.0832925i
\(143\) 0.633730 2.36511i 0.0529951 0.197780i
\(144\) −8.30046 6.11618i −0.691705 0.509682i
\(145\) −2.94663 + 10.6517i −0.244704 + 0.884578i
\(146\) 0.428578i 0.0354694i
\(147\) 1.27081 12.0576i 0.104814 0.994492i
\(148\) 4.76267 4.76267i 0.391489 0.391489i
\(149\) −8.72716 + 15.1159i −0.714957 + 1.23834i 0.248019 + 0.968755i \(0.420220\pi\)
−0.962976 + 0.269586i \(0.913113\pi\)
\(150\) 1.16749 + 2.40635i 0.0953248 + 0.196477i
\(151\) 7.60786 + 13.1772i 0.619119 + 1.07235i 0.989647 + 0.143524i \(0.0458434\pi\)
−0.370528 + 0.928821i \(0.620823\pi\)
\(152\) 0.510892 + 1.90668i 0.0414388 + 0.154652i
\(153\) 5.31661 13.5771i 0.429823 1.09765i
\(154\) −0.569541 0.252530i −0.0458949 0.0203494i
\(155\) −12.8316 + 3.32727i −1.03066 + 0.267253i
\(156\) 4.77782 + 9.45533i 0.382532 + 0.757032i
\(157\) 2.36469 8.82516i 0.188723 0.704324i −0.805080 0.593167i \(-0.797878\pi\)
0.993803 0.111158i \(-0.0354558\pi\)
\(158\) 0.338559 1.26352i 0.0269343 0.100520i
\(159\) −5.42929 10.7446i −0.430570 0.852100i
\(160\) 3.93740 6.69421i 0.311279 0.529223i
\(161\) 16.3578 11.9230i 1.28917 0.939665i
\(162\) 0.108192 + 2.77743i 0.00850040 + 0.218215i
\(163\) 0.700710 + 2.61508i 0.0548838 + 0.204829i 0.987923 0.154946i \(-0.0495202\pi\)
−0.933039 + 0.359775i \(0.882854\pi\)
\(164\) 4.15172 + 7.19099i 0.324195 + 0.561522i
\(165\) −2.45805 1.63656i −0.191359 0.127406i
\(166\) 1.10359 1.91147i 0.0856551 0.148359i
\(167\) −3.85551 + 3.85551i −0.298348 + 0.298348i −0.840367 0.542018i \(-0.817660\pi\)
0.542018 + 0.840367i \(0.317660\pi\)
\(168\) 5.25872 1.69808i 0.405719 0.131010i
\(169\) 2.68725i 0.206712i
\(170\) 3.23495 + 0.894896i 0.248109 + 0.0686354i
\(171\) −2.91306 + 3.95340i −0.222767 + 0.302324i
\(172\) 1.87556 6.99969i 0.143010 0.533721i
\(173\) −1.27815 + 0.342481i −0.0971763 + 0.0260383i −0.307080 0.951684i \(-0.599352\pi\)
0.209903 + 0.977722i \(0.432685\pi\)
\(174\) −2.21248 1.44738i −0.167727 0.109726i
\(175\) 13.0342 + 2.26043i 0.985293 + 0.170872i
\(176\) 2.62045i 0.197524i
\(177\) −12.6537 4.15845i −0.951111 0.312568i
\(178\) −0.270630 0.0725151i −0.0202846 0.00543524i
\(179\) −0.120836 0.209294i −0.00903168 0.0156433i 0.861474 0.507801i \(-0.169542\pi\)
−0.870506 + 0.492158i \(0.836208\pi\)
\(180\) 12.6475 1.81175i 0.942687 0.135040i
\(181\) 18.6864 1.38895 0.694475 0.719517i \(-0.255637\pi\)
0.694475 + 0.719517i \(0.255637\pi\)
\(182\) −2.59233 0.406508i −0.192156 0.0301324i
\(183\) 1.55734 + 7.44955i 0.115122 + 0.550686i
\(184\) 7.98990 + 4.61297i 0.589023 + 0.340073i
\(185\) −0.0639312 + 7.90730i −0.00470032 + 0.581357i
\(186\) 0.176594 3.16624i 0.0129485 0.232160i
\(187\) −3.57956 + 0.959140i −0.261763 + 0.0701393i
\(188\) −5.77437 5.77437i −0.421140 0.421140i
\(189\) 11.4655 + 7.58568i 0.833992 + 0.551777i
\(190\) −0.974370 0.573106i −0.0706882 0.0415775i
\(191\) 12.3330 + 7.12049i 0.892388 + 0.515220i 0.874723 0.484624i \(-0.161043\pi\)
0.0176651 + 0.999844i \(0.494377\pi\)
\(192\) −6.69805 7.48934i −0.483390 0.540496i
\(193\) −6.58385 1.76414i −0.473916 0.126985i 0.0139523 0.999903i \(-0.495559\pi\)
−0.487868 + 0.872917i \(0.662225\pi\)
\(194\) 0.814694 1.41109i 0.0584916 0.101310i
\(195\) −11.7840 3.97848i −0.843871 0.284905i
\(196\) 4.08099 12.6924i 0.291499 0.906599i
\(197\) 7.65626 7.65626i 0.545486 0.545486i −0.379646 0.925132i \(-0.623954\pi\)
0.925132 + 0.379646i \(0.123954\pi\)
\(198\) 0.551974 0.440878i 0.0392271 0.0313318i
\(199\) −14.1855 + 8.19000i −1.00558 + 0.580573i −0.909895 0.414838i \(-0.863838\pi\)
−0.0956874 + 0.995411i \(0.530505\pi\)
\(200\) 1.46617 + 5.84848i 0.103674 + 0.413550i
\(201\) −0.0381180 0.0754356i −0.00268864 0.00532082i
\(202\) 4.14670 + 4.14670i 0.291761 + 0.291761i
\(203\) −12.2009 + 4.70498i −0.856335 + 0.330225i
\(204\) 8.77767 13.4176i 0.614560 0.939421i
\(205\) −9.39556 2.59913i −0.656214 0.181531i
\(206\) −3.37836 + 1.95050i −0.235382 + 0.135898i
\(207\) 3.43826 + 22.6932i 0.238975 + 1.57729i
\(208\) 2.85654 + 10.6607i 0.198065 + 0.739189i
\(209\) 1.24809 0.0863321
\(210\) −1.46458 + 2.80534i −0.101066 + 0.193587i
\(211\) −25.5028 −1.75568 −0.877842 0.478950i \(-0.841018\pi\)
−0.877842 + 0.478950i \(0.841018\pi\)
\(212\) −3.42620 12.7867i −0.235312 0.878197i
\(213\) −14.3374 16.0312i −0.982385 1.09844i
\(214\) 0.583239 0.336733i 0.0398694 0.0230186i
\(215\) 4.19414 + 7.40203i 0.286038 + 0.504814i
\(216\) −1.04248 + 6.17867i −0.0709320 + 0.420405i
\(217\) −12.2044 9.85200i −0.828492 0.668797i
\(218\) 0.515316 + 0.515316i 0.0349016 + 0.0349016i
\(219\) −2.14527 + 1.08402i −0.144964 + 0.0732510i
\(220\) −2.27750 2.31463i −0.153549 0.156052i
\(221\) −13.5171 + 7.80410i −0.909258 + 0.524960i
\(222\) −1.79712 0.590596i −0.120615 0.0396382i
\(223\) −15.4546 + 15.4546i −1.03491 + 1.03491i −0.0355465 + 0.999368i \(0.511317\pi\)
−0.999368 + 0.0355465i \(0.988683\pi\)
\(224\) 9.13740 0.974557i 0.610518 0.0651154i
\(225\) −9.09213 + 11.9303i −0.606142 + 0.795356i
\(226\) 2.60716 4.51573i 0.173426 0.300382i
\(227\) −12.4101 3.32527i −0.823686 0.220706i −0.177728 0.984080i \(-0.556875\pi\)
−0.645957 + 0.763374i \(0.723542\pi\)
\(228\) −4.02509 + 3.59982i −0.266568 + 0.238404i
\(229\) −13.2508 7.65038i −0.875641 0.505551i −0.00642204 0.999979i \(-0.502044\pi\)
−0.869219 + 0.494428i \(0.835378\pi\)
\(230\) −5.11430 + 1.32615i −0.337227 + 0.0874438i
\(231\) −0.176508 3.48960i −0.0116134 0.229599i
\(232\) −4.21445 4.21445i −0.276692 0.276692i
\(233\) 6.62761 1.77586i 0.434189 0.116341i −0.0351029 0.999384i \(-0.511176\pi\)
0.469292 + 0.883043i \(0.344509\pi\)
\(234\) 1.76498 2.39531i 0.115381 0.156587i
\(235\) 9.58699 + 0.0775117i 0.625387 + 0.00505630i
\(236\) −12.6843 7.32328i −0.825677 0.476705i
\(237\) 7.18093 1.50118i 0.466452 0.0975122i
\(238\) 1.42891 + 3.70543i 0.0926225 + 0.240188i
\(239\) 18.7082 1.21013 0.605067 0.796174i \(-0.293146\pi\)
0.605067 + 0.796174i \(0.293146\pi\)
\(240\) 13.2836 + 0.848664i 0.857456 + 0.0547810i
\(241\) 0.986063 + 1.70791i 0.0635179 + 0.110016i 0.896036 0.443982i \(-0.146435\pi\)
−0.832518 + 0.553998i \(0.813101\pi\)
\(242\) 3.10802 + 0.832793i 0.199791 + 0.0535339i
\(243\) −13.6289 + 7.56659i −0.874294 + 0.485397i
\(244\) 8.36885i 0.535761i
\(245\) 7.03603 + 13.9819i 0.449516 + 0.893272i
\(246\) 1.27669 1.95156i 0.0813987 0.124427i
\(247\) 5.07757 1.36053i 0.323078 0.0865685i
\(248\) 1.85026 6.90525i 0.117491 0.438484i
\(249\) 12.3593 + 0.689328i 0.783240 + 0.0436844i
\(250\) −2.94755 1.79847i −0.186420 0.113745i
\(251\) 17.9016i 1.12994i 0.825112 + 0.564970i \(0.191112\pi\)
−0.825112 + 0.564970i \(0.808888\pi\)
\(252\) 10.6342 + 10.7449i 0.669889 + 0.676863i
\(253\) 4.12485 4.12485i 0.259327 0.259327i
\(254\) 0.974254 1.68746i 0.0611301 0.105881i
\(255\) 3.70281 + 18.4562i 0.231879 + 1.15577i
\(256\) −4.45168 7.71053i −0.278230 0.481908i
\(257\) 5.10358 + 19.0468i 0.318353 + 1.18811i 0.920827 + 0.389971i \(0.127515\pi\)
−0.602475 + 0.798138i \(0.705819\pi\)
\(258\) −1.99218 + 0.416467i −0.124028 + 0.0259281i
\(259\) −7.56100 + 5.51114i −0.469818 + 0.342445i
\(260\) −11.7887 6.93387i −0.731102 0.430021i
\(261\) 1.64885 14.7356i 0.102061 0.912109i
\(262\) −0.171813 + 0.641215i −0.0106147 + 0.0396144i
\(263\) 1.43607 5.35948i 0.0885517 0.330480i −0.907411 0.420244i \(-0.861945\pi\)
0.995963 + 0.0897640i \(0.0286113\pi\)
\(264\) 1.42138 0.718230i 0.0874798 0.0442040i
\(265\) 13.3961 + 7.87931i 0.822914 + 0.484022i
\(266\) −0.141851 1.32999i −0.00869744 0.0815467i
\(267\) −0.321534 1.53807i −0.0196776 0.0941281i
\(268\) −0.0240547 0.0897733i −0.00146937 0.00548378i
\(269\) −5.02321 8.70045i −0.306270 0.530476i 0.671273 0.741210i \(-0.265748\pi\)
−0.977543 + 0.210734i \(0.932414\pi\)
\(270\) −2.05614 2.94086i −0.125133 0.178975i
\(271\) 2.82028 4.88486i 0.171320 0.296734i −0.767562 0.640975i \(-0.778530\pi\)
0.938881 + 0.344241i \(0.111864\pi\)
\(272\) 11.8115 11.8115i 0.716180 0.716180i
\(273\) −4.52206 14.0042i −0.273688 0.847575i
\(274\) 2.72309i 0.164508i
\(275\) 3.81183 + 0.0616420i 0.229862 + 0.00371715i
\(276\) −1.40549 + 25.1998i −0.0846007 + 1.51685i
\(277\) 2.91038 10.8617i 0.174868 0.652615i −0.821707 0.569911i \(-0.806978\pi\)
0.996574 0.0827040i \(-0.0263556\pi\)
\(278\) −3.09130 + 0.828310i −0.185404 + 0.0496787i
\(279\) 16.2954 7.12451i 0.975581 0.426533i
\(280\) −4.52589 + 5.51475i −0.270473 + 0.329569i
\(281\) 1.92831i 0.115033i −0.998345 0.0575167i \(-0.981682\pi\)
0.998345 0.0575167i \(-0.0183183\pi\)
\(282\) −0.716052 + 2.17887i −0.0426403 + 0.129750i
\(283\) 25.4667 + 6.82379i 1.51384 + 0.405632i 0.917709 0.397254i \(-0.130037\pi\)
0.596132 + 0.802887i \(0.296704\pi\)
\(284\) −11.8250 20.4816i −0.701687 1.21536i
\(285\) 0.404207 6.32683i 0.0239432 0.374769i
\(286\) −0.756201 −0.0447151
\(287\) −4.15012 10.7620i −0.244974 0.635263i
\(288\) −3.79926 + 9.70225i −0.223874 + 0.571710i
\(289\) 5.73548 + 3.31138i 0.337381 + 0.194787i
\(290\) 3.41309 + 0.0275951i 0.200424 + 0.00162044i
\(291\) 9.12392 + 0.508877i 0.534853 + 0.0298309i
\(292\) −2.55301 + 0.684078i −0.149404 + 0.0400326i
\(293\) −7.83332 7.83332i −0.457627 0.457627i 0.440249 0.897876i \(-0.354890\pi\)
−0.897876 + 0.440249i \(0.854890\pi\)
\(294\) −3.69852 + 0.584698i −0.215702 + 0.0341003i
\(295\) 16.6449 4.31607i 0.969105 0.251291i
\(296\) −3.69315 2.13224i −0.214660 0.123934i
\(297\) 3.60296 + 1.64781i 0.209065 + 0.0956155i
\(298\) 5.20686 + 1.39517i 0.301625 + 0.0808203i
\(299\) 12.2846 21.2775i 0.710435 1.23051i
\(300\) −12.4710 + 10.7955i −0.720011 + 0.623280i
\(301\) −4.08027 + 9.20242i −0.235183 + 0.530418i
\(302\) 3.32282 3.32282i 0.191207 0.191207i
\(303\) −10.2681 + 31.2449i −0.589890 + 1.79497i
\(304\) −4.87205 + 2.81288i −0.279431 + 0.161330i
\(305\) −6.89109 7.00343i −0.394583 0.401015i
\(306\) −4.47522 0.500759i −0.255831 0.0286265i
\(307\) −17.0769 17.0769i −0.974628 0.974628i 0.0250576 0.999686i \(-0.492023\pi\)
−0.999686 + 0.0250576i \(0.992023\pi\)
\(308\) 0.595226 3.79579i 0.0339161 0.216285i
\(309\) −18.3083 11.9771i −1.04152 0.681354i
\(310\) 2.01824 + 3.56190i 0.114628 + 0.202302i
\(311\) 20.4797 11.8240i 1.16130 0.670475i 0.209683 0.977769i \(-0.432757\pi\)
0.951615 + 0.307294i \(0.0994235\pi\)
\(312\) 4.99963 4.47139i 0.283048 0.253143i
\(313\) −3.20409 11.9578i −0.181106 0.675895i −0.995431 0.0954864i \(-0.969559\pi\)
0.814325 0.580409i \(-0.197107\pi\)
\(314\) −2.82168 −0.159237
\(315\) −17.7467 0.235390i −0.999912 0.0132627i
\(316\) 8.06709 0.453809
\(317\) −1.13684 4.24276i −0.0638515 0.238297i 0.926623 0.375991i \(-0.122698\pi\)
−0.990475 + 0.137694i \(0.956031\pi\)
\(318\) −2.77127 + 2.47848i −0.155405 + 0.138986i
\(319\) −3.26361 + 1.88425i −0.182727 + 0.105498i
\(320\) 12.5018 + 3.45843i 0.698874 + 0.193332i
\(321\) 3.16074 + 2.06772i 0.176415 + 0.115409i
\(322\) −4.86432 3.92671i −0.271078 0.218827i
\(323\) −5.62568 5.62568i −0.313021 0.313021i
\(324\) −16.3723 + 5.07770i −0.909570 + 0.282094i
\(325\) 15.5748 3.90447i 0.863933 0.216581i
\(326\) 0.724106 0.418063i 0.0401045 0.0231543i
\(327\) −1.27604 + 3.88284i −0.0705650 + 0.214722i
\(328\) 3.71743 3.71743i 0.205261 0.205261i
\(329\) 6.68183 + 9.16713i 0.368381 + 0.505400i
\(330\) −0.291729 + 0.864084i −0.0160592 + 0.0475662i
\(331\) 3.10933 5.38552i 0.170904 0.296015i −0.767832 0.640651i \(-0.778664\pi\)
0.938736 + 0.344636i \(0.111998\pi\)
\(332\) 13.1480 + 3.52300i 0.721591 + 0.193350i
\(333\) −1.58925 10.4894i −0.0870906 0.574815i
\(334\) 1.45833 + 0.841970i 0.0797965 + 0.0460705i
\(335\) 0.0940513 + 0.0553192i 0.00513857 + 0.00302241i
\(336\) 8.55370 + 13.2242i 0.466642 + 0.721440i
\(337\) 15.0501 + 15.0501i 0.819833 + 0.819833i 0.986084 0.166250i \(-0.0531659\pi\)
−0.166250 + 0.986084i \(0.553166\pi\)
\(338\) 0.801644 0.214800i 0.0436037 0.0116836i
\(339\) 29.1981 + 1.62849i 1.58582 + 0.0884476i
\(340\) −0.167351 + 20.6988i −0.00907590 + 1.12255i
\(341\) −3.91452 2.26005i −0.211983 0.122389i
\(342\) 1.41220 + 0.552999i 0.0763632 + 0.0299027i
\(343\) −8.33197 + 16.5402i −0.449884 + 0.893087i
\(344\) −4.58812 −0.247375
\(345\) −19.5739 22.2456i −1.05382 1.19766i
\(346\) 0.204333 + 0.353916i 0.0109850 + 0.0190266i
\(347\) −18.6057 4.98539i −0.998808 0.267630i −0.277862 0.960621i \(-0.589626\pi\)
−0.720946 + 0.692991i \(0.756292\pi\)
\(348\) 5.09049 15.4898i 0.272879 0.830342i
\(349\) 9.24369i 0.494803i −0.968913 0.247402i \(-0.920423\pi\)
0.968913 0.247402i \(-0.0795767\pi\)
\(350\) −0.367545 4.06896i −0.0196461 0.217495i
\(351\) 16.4541 + 2.77618i 0.878254 + 0.148182i
\(352\) 2.55796 0.685404i 0.136340 0.0365321i
\(353\) 3.05649 11.4070i 0.162681 0.607132i −0.835644 0.549271i \(-0.814905\pi\)
0.998325 0.0578609i \(-0.0184280\pi\)
\(354\) −0.229073 + 4.10717i −0.0121751 + 0.218294i
\(355\) 26.7607 + 7.40290i 1.42031 + 0.392905i
\(356\) 1.72787i 0.0915769i
\(357\) −14.9335 + 16.5247i −0.790367 + 0.874582i
\(358\) −0.0527764 + 0.0527764i −0.00278932 + 0.00278932i
\(359\) 6.98129 12.0920i 0.368459 0.638189i −0.620866 0.783917i \(-0.713219\pi\)
0.989325 + 0.145728i \(0.0465523\pi\)
\(360\) −3.18053 7.43788i −0.167629 0.392011i
\(361\) −8.16026 14.1340i −0.429487 0.743894i
\(362\) −1.49366 5.57441i −0.0785050 0.292985i
\(363\) 3.69263 + 17.6638i 0.193813 + 0.927108i
\(364\) −1.71622 16.0912i −0.0899544 0.843408i
\(365\) 1.57319 2.67467i 0.0823446 0.139999i
\(366\) 2.09782 1.06004i 0.109655 0.0554091i
\(367\) −3.90370 + 14.5688i −0.203771 + 0.760485i 0.786049 + 0.618164i \(0.212123\pi\)
−0.989821 + 0.142321i \(0.954543\pi\)
\(368\) −6.80542 + 25.3982i −0.354757 + 1.32397i
\(369\) 12.9978 + 1.45440i 0.676638 + 0.0757130i
\(370\) 2.36397 0.612982i 0.122897 0.0318674i
\(371\) 1.95023 + 18.2852i 0.101251 + 0.949323i
\(372\) 19.1429 4.00185i 0.992515 0.207486i
\(373\) −9.01635 33.6495i −0.466849 1.74230i −0.650686 0.759347i \(-0.725519\pi\)
0.183837 0.982957i \(-0.441148\pi\)
\(374\) 0.572249 + 0.991165i 0.0295903 + 0.0512519i
\(375\) 1.54698 19.3030i 0.0798857 0.996804i
\(376\) −2.58517 + 4.47765i −0.133320 + 0.230917i
\(377\) −11.2233 + 11.2233i −0.578028 + 0.578028i
\(378\) 1.34644 4.02666i 0.0692535 0.207109i
\(379\) 19.0602i 0.979056i 0.871988 + 0.489528i \(0.162831\pi\)
−0.871988 + 0.489528i \(0.837169\pi\)
\(380\) 1.85871 6.71902i 0.0953496 0.344678i
\(381\) 10.9109 + 0.608542i 0.558980 + 0.0311765i
\(382\) 1.13832 4.24828i 0.0582417 0.217361i
\(383\) −9.81007 + 2.62860i −0.501271 + 0.134315i −0.500590 0.865685i \(-0.666884\pi\)
−0.000681261 1.00000i \(0.500217\pi\)
\(384\) −8.28544 + 12.6652i −0.422815 + 0.646318i
\(385\) 2.62743 + 3.66661i 0.133906 + 0.186868i
\(386\) 2.10507i 0.107145i
\(387\) −7.12352 8.91857i −0.362109 0.453356i
\(388\) 9.70615 + 2.60076i 0.492755 + 0.132033i
\(389\) 18.6290 + 32.2664i 0.944528 + 1.63597i 0.756693 + 0.653770i \(0.226814\pi\)
0.187835 + 0.982201i \(0.439853\pi\)
\(390\) −0.244904 + 3.83334i −0.0124012 + 0.194109i
\(391\) −37.1850 −1.88053
\(392\) −8.43099 0.415908i −0.425829 0.0210065i
\(393\) −3.64421 + 0.761825i −0.183826 + 0.0384290i
\(394\) −2.89595 1.67198i −0.145896 0.0842331i
\(395\) −6.75090 + 6.64261i −0.339675 + 0.334226i
\(396\) 3.50731 + 2.58436i 0.176249 + 0.129869i
\(397\) 8.58658 2.30077i 0.430948 0.115472i −0.0368231 0.999322i \(-0.511724\pi\)
0.467771 + 0.883850i \(0.345057\pi\)
\(398\) 3.57708 + 3.57708i 0.179303 + 0.179303i
\(399\) 6.29852 4.07401i 0.315321 0.203956i
\(400\) −15.0188 + 8.35029i −0.750941 + 0.417514i
\(401\) 4.02832 + 2.32575i 0.201165 + 0.116142i 0.597199 0.802093i \(-0.296280\pi\)
−0.396034 + 0.918236i \(0.629614\pi\)
\(402\) −0.0194566 + 0.0174009i −0.000970407 + 0.000867878i
\(403\) −18.3890 4.92733i −0.916023 0.245448i
\(404\) −18.0828 + 31.3204i −0.899655 + 1.55825i
\(405\) 9.51994 17.7305i 0.473050 0.881036i
\(406\) 2.37881 + 3.26361i 0.118059 + 0.161970i
\(407\) −1.90662 + 1.90662i −0.0945074 + 0.0945074i
\(408\) −9.64415 3.16940i −0.477457 0.156909i
\(409\) −23.0006 + 13.2794i −1.13731 + 0.656626i −0.945763 0.324858i \(-0.894683\pi\)
−0.191546 + 0.981484i \(0.561350\pi\)
\(410\) −0.0243408 + 3.01058i −0.00120211 + 0.148682i
\(411\) 13.6305 6.88758i 0.672345 0.339739i
\(412\) −17.0114 17.0114i −0.838091 0.838091i
\(413\) 15.8313 + 12.7798i 0.779009 + 0.628853i
\(414\) 6.49486 2.83961i 0.319205 0.139559i
\(415\) −13.9038 + 7.87815i −0.682508 + 0.386723i
\(416\) 9.65934 5.57682i 0.473588 0.273426i
\(417\) −11.9650 13.3786i −0.585931 0.655151i
\(418\) −0.0997634 0.372322i −0.00487959 0.0182109i
\(419\) −25.8278 −1.26177 −0.630885 0.775876i \(-0.717308\pi\)
−0.630885 + 0.775876i \(0.717308\pi\)
\(420\) −19.0489 4.24664i −0.929492 0.207215i
\(421\) 0.432430 0.0210753 0.0105377 0.999944i \(-0.496646\pi\)
0.0105377 + 0.999944i \(0.496646\pi\)
\(422\) 2.03851 + 7.60783i 0.0992332 + 0.370343i
\(423\) −12.7176 + 1.92685i −0.618350 + 0.0936866i
\(424\) −7.25850 + 4.19070i −0.352504 + 0.203518i
\(425\) −16.9038 17.4594i −0.819952 0.846908i
\(426\) −3.63630 + 5.55847i −0.176179 + 0.269309i
\(427\) 1.80099 11.4850i 0.0871558 0.555799i
\(428\) 2.93684 + 2.93684i 0.141957 + 0.141957i
\(429\) −1.91268 3.78520i −0.0923451 0.182751i
\(430\) 1.87288 1.84283i 0.0903181 0.0888694i
\(431\) −14.1264 + 8.15586i −0.680443 + 0.392854i −0.800022 0.599971i \(-0.795179\pi\)
0.119579 + 0.992825i \(0.461846\pi\)
\(432\) −17.7783 + 1.68777i −0.855358 + 0.0812029i
\(433\) −0.514238 + 0.514238i −0.0247127 + 0.0247127i −0.719355 0.694642i \(-0.755563\pi\)
0.694642 + 0.719355i \(0.255563\pi\)
\(434\) −1.96345 + 4.42825i −0.0942486 + 0.212563i
\(435\) 8.49470 + 17.1542i 0.407290 + 0.822480i
\(436\) −2.24718 + 3.89223i −0.107620 + 0.186404i
\(437\) 12.0968 + 3.24133i 0.578669 + 0.155054i
\(438\) 0.494855 + 0.553315i 0.0236451 + 0.0264384i
\(439\) 13.2487 + 7.64917i 0.632328 + 0.365075i 0.781653 0.623713i \(-0.214377\pi\)
−0.149325 + 0.988788i \(0.547710\pi\)
\(440\) −1.04234 + 1.77214i −0.0496916 + 0.0844835i
\(441\) −12.2815 17.0342i −0.584834 0.811153i
\(442\) 3.40853 + 3.40853i 0.162127 + 0.162127i
\(443\) 8.81439 2.36181i 0.418784 0.112213i −0.0432723 0.999063i \(-0.513778\pi\)
0.462057 + 0.886850i \(0.347112\pi\)
\(444\) 0.649656 11.6480i 0.0308313 0.552791i
\(445\) 1.42276 + 1.44596i 0.0674455 + 0.0685450i
\(446\) 5.84564 + 3.37498i 0.276799 + 0.159810i
\(447\) 6.18625 + 29.5921i 0.292600 + 1.39966i
\(448\) 5.52219 + 14.3201i 0.260899 + 0.676560i
\(449\) −9.40891 −0.444034 −0.222017 0.975043i \(-0.571264\pi\)
−0.222017 + 0.975043i \(0.571264\pi\)
\(450\) 4.28575 + 1.75868i 0.202032 + 0.0829050i
\(451\) −1.66204 2.87873i −0.0782622 0.135554i
\(452\) 31.0613 + 8.32286i 1.46100 + 0.391474i
\(453\) 25.0370 + 8.22804i 1.17634 + 0.386587i
\(454\) 3.96789i 0.186222i
\(455\) 14.6860 + 12.0527i 0.688492 + 0.565037i
\(456\) 2.86111 + 1.87171i 0.133984 + 0.0876509i
\(457\) 33.3520 8.93665i 1.56014 0.418039i 0.627434 0.778670i \(-0.284105\pi\)
0.932708 + 0.360631i \(0.117439\pi\)
\(458\) −1.22303 + 4.56443i −0.0571486 + 0.213282i
\(459\) −8.81272 23.6675i −0.411343 1.10470i
\(460\) −16.0630 28.3488i −0.748942 1.32177i
\(461\) 36.9326i 1.72012i −0.510192 0.860061i \(-0.670426\pi\)
0.510192 0.860061i \(-0.329574\pi\)
\(462\) −1.02689 + 0.331588i −0.0477751 + 0.0154269i
\(463\) 26.3687 26.3687i 1.22546 1.22546i 0.259794 0.965664i \(-0.416345\pi\)
0.965664 0.259794i \(-0.0836548\pi\)
\(464\) 8.49325 14.7107i 0.394289 0.682929i
\(465\) −12.7244 + 19.1116i −0.590082 + 0.886280i
\(466\) −1.05953 1.83516i −0.0490817 0.0850120i
\(467\) −2.63979 9.85183i −0.122155 0.455888i 0.877567 0.479453i \(-0.159165\pi\)
−0.999722 + 0.0235650i \(0.992498\pi\)
\(468\) 17.0859 + 6.69060i 0.789797 + 0.309273i
\(469\) 0.0136922 + 0.128377i 0.000632247 + 0.00592791i
\(470\) −0.743194 2.86613i −0.0342810 0.132205i
\(471\) −7.13696 14.1241i −0.328854 0.650803i
\(472\) −2.40011 + 8.95734i −0.110474 + 0.412295i
\(473\) −0.750833 + 2.80215i −0.0345233 + 0.128843i
\(474\) −1.02182 2.02218i −0.0469336 0.0928817i
\(475\) 3.97713 + 7.15327i 0.182483 + 0.328215i
\(476\) −19.7923 + 14.4264i −0.907177 + 0.661232i
\(477\) −19.4156 7.60287i −0.888979 0.348112i
\(478\) −1.49540 5.58092i −0.0683981 0.255265i
\(479\) −6.85350 11.8706i −0.313144 0.542382i 0.665897 0.746044i \(-0.268049\pi\)
−0.979041 + 0.203662i \(0.934716\pi\)
\(480\) −2.64603 13.1888i −0.120774 0.601985i
\(481\) −5.67825 + 9.83503i −0.258906 + 0.448439i
\(482\) 0.430674 0.430674i 0.0196167 0.0196167i
\(483\) 7.35185 34.2805i 0.334521 1.55982i
\(484\) 19.8436i 0.901980i
\(485\) −10.2641 + 5.81582i −0.466067 + 0.264083i
\(486\) 3.34661 + 3.46087i 0.151805 + 0.156988i
\(487\) −5.91662 + 22.0811i −0.268108 + 1.00059i 0.692213 + 0.721693i \(0.256636\pi\)
−0.960321 + 0.278898i \(0.910031\pi\)
\(488\) 5.11811 1.37139i 0.231686 0.0620800i
\(489\) 3.92413 + 2.56713i 0.177455 + 0.116090i
\(490\) 3.60859 3.21656i 0.163019 0.145309i
\(491\) 23.7476i 1.07172i −0.844308 0.535858i \(-0.819988\pi\)
0.844308 0.535858i \(-0.180012\pi\)
\(492\) 13.6631 + 4.49016i 0.615980 + 0.202432i
\(493\) 23.2037 + 6.21740i 1.04504 + 0.280018i
\(494\) −0.811730 1.40596i −0.0365215 0.0632570i
\(495\) −5.06309 + 0.725288i −0.227569 + 0.0325993i
\(496\) 20.3744 0.914836
\(497\) 11.8205 + 30.6527i 0.530220 + 1.37496i
\(498\) −0.782280 3.74205i −0.0350548 0.167685i
\(499\) −2.80187 1.61766i −0.125429 0.0724165i 0.435973 0.899960i \(-0.356404\pi\)
−0.561402 + 0.827543i \(0.689738\pi\)
\(500\) 6.00859 20.4290i 0.268712 0.913612i
\(501\) −0.525914 + 9.42938i −0.0234961 + 0.421274i
\(502\) 5.34029 1.43093i 0.238349 0.0638654i
\(503\) 2.62851 + 2.62851i 0.117199 + 0.117199i 0.763274 0.646075i \(-0.223591\pi\)
−0.646075 + 0.763274i \(0.723591\pi\)
\(504\) 4.82859 8.26424i 0.215083 0.368118i
\(505\) −10.6573 41.1001i −0.474246 1.82893i
\(506\) −1.56021 0.900788i −0.0693598 0.0400449i
\(507\) 3.10281 + 3.46937i 0.137801 + 0.154080i
\(508\) 11.6071 + 3.11012i 0.514983 + 0.137989i
\(509\) −6.91189 + 11.9717i −0.306364 + 0.530638i −0.977564 0.210638i \(-0.932446\pi\)
0.671200 + 0.741276i \(0.265779\pi\)
\(510\) 5.20976 2.57985i 0.230692 0.114238i
\(511\) 3.65085 0.389385i 0.161504 0.0172254i
\(512\) −14.3017 + 14.3017i −0.632050 + 0.632050i
\(513\) 0.803863 + 8.46757i 0.0354914 + 0.373852i
\(514\) 5.27399 3.04494i 0.232626 0.134306i
\(515\) 28.2434 + 0.228350i 1.24455 + 0.0100623i
\(516\) −5.66069 11.2025i −0.249198 0.493164i
\(517\) 2.31162 + 2.31162i 0.101665 + 0.101665i
\(518\) 2.24842 + 1.81503i 0.0987899 + 0.0797478i
\(519\) −1.25472 + 1.91797i −0.0550759 + 0.0841895i
\(520\) −2.30873 + 8.34580i −0.101244 + 0.365988i
\(521\) −9.49156 + 5.47996i −0.415833 + 0.240081i −0.693293 0.720656i \(-0.743841\pi\)
0.277460 + 0.960737i \(0.410507\pi\)
\(522\) −4.52762 + 0.685982i −0.198168 + 0.0300246i
\(523\) 3.54814 + 13.2418i 0.155149 + 0.579026i 0.999093 + 0.0425929i \(0.0135618\pi\)
−0.843943 + 0.536433i \(0.819771\pi\)
\(524\) −4.09392 −0.178844
\(525\) 19.4378 12.1315i 0.848333 0.529463i
\(526\) −1.71360 −0.0747163
\(527\) 7.45743 + 27.8315i 0.324851 + 1.21236i
\(528\) 3.02569 + 3.38313i 0.131676 + 0.147232i
\(529\) 30.7730 17.7668i 1.33796 0.772469i
\(530\) 1.27972 4.62605i 0.0555875 0.200943i
\(531\) −21.1381 + 9.24175i −0.917313 + 0.401058i
\(532\) 7.69622 2.96786i 0.333674 0.128673i
\(533\) −9.89970 9.89970i −0.428804 0.428804i
\(534\) −0.433125 + 0.218860i −0.0187432 + 0.00947101i
\(535\) −4.87593 0.0394223i −0.210805 0.00170438i
\(536\) −0.0509605 + 0.0294221i −0.00220116 + 0.00127084i
\(537\) −0.397664 0.130686i −0.0171605 0.00563952i
\(538\) −2.19394 + 2.19394i −0.0945876 + 0.0945876i
\(539\) −1.63372 + 5.08108i −0.0703692 + 0.218857i
\(540\) 14.2366 16.9423i 0.612644 0.729083i
\(541\) −3.53276 + 6.11892i −0.151885 + 0.263073i −0.931920 0.362663i \(-0.881868\pi\)
0.780035 + 0.625735i \(0.215201\pi\)
\(542\) −1.68265 0.450866i −0.0722762 0.0193663i
\(543\) 24.1250 21.5761i 1.03530 0.925919i
\(544\) −14.6193 8.44044i −0.626796 0.361881i
\(545\) −1.32440 5.10756i −0.0567312 0.218784i
\(546\) −3.81619 + 2.46839i −0.163318 + 0.105637i
\(547\) −19.7665 19.7665i −0.845154 0.845154i 0.144370 0.989524i \(-0.453885\pi\)
−0.989524 + 0.144370i \(0.953885\pi\)
\(548\) 16.2212 4.34647i 0.692937 0.185672i
\(549\) 10.6121 + 7.81955i 0.452915 + 0.333730i
\(550\) −0.286302 1.14205i −0.0122080 0.0486971i
\(551\) −7.00653 4.04522i −0.298488 0.172332i
\(552\) 15.6417 3.26991i 0.665753 0.139176i
\(553\) −11.0709 1.73605i −0.470782 0.0738242i
\(554\) −3.47282 −0.147546
\(555\) 9.04756 + 10.2825i 0.384048 + 0.436469i
\(556\) −9.86837 17.0925i −0.418512 0.724884i
\(557\) −42.2902 11.3316i −1.79189 0.480137i −0.799228 0.601028i \(-0.794758\pi\)
−0.992666 + 0.120891i \(0.961425\pi\)
\(558\) −3.42788 4.29166i −0.145114 0.181681i
\(559\) 12.2184i 0.516783i
\(560\) −18.5201 8.39146i −0.782616 0.354604i
\(561\) −3.51392 + 5.37140i −0.148358 + 0.226781i
\(562\) −0.575242 + 0.154136i −0.0242651 + 0.00650182i
\(563\) −2.87110 + 10.7151i −0.121002 + 0.451587i −0.999666 0.0258549i \(-0.991769\pi\)
0.878663 + 0.477442i \(0.158436\pi\)
\(564\) −14.1223 0.787658i −0.594657 0.0331664i
\(565\) −32.8467 + 18.6116i −1.38187 + 0.782997i
\(566\) 8.14252i 0.342256i
\(567\) 23.5612 3.44507i 0.989479 0.144679i
\(568\) −10.5881 + 10.5881i −0.444266 + 0.444266i
\(569\) 6.90318 11.9567i 0.289396 0.501249i −0.684269 0.729229i \(-0.739879\pi\)
0.973666 + 0.227980i \(0.0732121\pi\)
\(570\) −1.91969 + 0.385141i −0.0804069 + 0.0161318i
\(571\) 6.56260 + 11.3668i 0.274636 + 0.475684i 0.970043 0.242932i \(-0.0781092\pi\)
−0.695407 + 0.718616i \(0.744776\pi\)
\(572\) −1.20701 4.50464i −0.0504678 0.188348i
\(573\) 24.1442 5.04736i 1.00864 0.210857i
\(574\) −2.87873 + 2.09828i −0.120156 + 0.0875804i
\(575\) 36.7852 + 10.4969i 1.53405 + 0.437752i
\(576\) −17.2950 1.93524i −0.720625 0.0806350i
\(577\) −3.94772 + 14.7331i −0.164346 + 0.613347i 0.833777 + 0.552101i \(0.186174\pi\)
−0.998123 + 0.0612453i \(0.980493\pi\)
\(578\) 0.529377 1.97566i 0.0220192 0.0821767i
\(579\) −10.5370 + 5.32440i −0.437903 + 0.221275i
\(580\) 5.28344 + 20.3756i 0.219383 + 0.846050i
\(581\) −17.2856 7.66426i −0.717126 0.317967i
\(582\) −0.577496 2.76247i −0.0239380 0.114508i
\(583\) 1.37159 + 5.11885i 0.0568055 + 0.212001i
\(584\) 0.836718 + 1.44924i 0.0346236 + 0.0599699i
\(585\) −19.8074 + 8.46991i −0.818937 + 0.350188i
\(586\) −1.71065 + 2.96293i −0.0706662 + 0.122397i
\(587\) 5.54217 5.54217i 0.228750 0.228750i −0.583421 0.812170i \(-0.698286\pi\)
0.812170 + 0.583421i \(0.198286\pi\)
\(588\) −9.38642 21.0986i −0.387089 0.870090i
\(589\) 9.70404i 0.399848i
\(590\) −2.61802 4.62041i −0.107782 0.190219i
\(591\) 1.04436 18.7248i 0.0429591 0.770237i
\(592\) 3.14565 11.7397i 0.129285 0.482499i
\(593\) 8.37814 2.24492i 0.344049 0.0921877i −0.0826570 0.996578i \(-0.526341\pi\)
0.426706 + 0.904390i \(0.359674\pi\)
\(594\) 0.203568 1.20653i 0.00835252 0.0495043i
\(595\) 4.68406 28.3700i 0.192028 1.16306i
\(596\) 33.2438i 1.36172i
\(597\) −8.85763 + 26.9528i −0.362519 + 1.10311i
\(598\) −7.32931 1.96388i −0.299718 0.0803091i
\(599\) 7.93869 + 13.7502i 0.324366 + 0.561819i 0.981384 0.192056i \(-0.0615157\pi\)
−0.657018 + 0.753875i \(0.728182\pi\)
\(600\) 8.64578 + 5.85777i 0.352963 + 0.239142i
\(601\) 41.5249 1.69384 0.846919 0.531722i \(-0.178455\pi\)
0.846919 + 0.531722i \(0.178455\pi\)
\(602\) 3.07135 + 0.481625i 0.125179 + 0.0196296i
\(603\) −0.136313 0.0533783i −0.00555110 0.00217373i
\(604\) 25.0976 + 14.4901i 1.02120 + 0.589593i
\(605\) −16.3396 16.6060i −0.664299 0.675129i
\(606\) 10.1415 + 0.565634i 0.411972 + 0.0229773i
\(607\) 14.7681 3.95710i 0.599418 0.160614i 0.0536641 0.998559i \(-0.482910\pi\)
0.545754 + 0.837945i \(0.316243\pi\)
\(608\) 4.02013 + 4.02013i 0.163038 + 0.163038i
\(609\) −10.3194 + 20.1620i −0.418162 + 0.817006i
\(610\) −1.53839 + 2.61551i −0.0622877 + 0.105899i
\(611\) 11.9242 + 6.88444i 0.482402 + 0.278515i
\(612\) −4.16015 27.4578i −0.168164 1.10992i
\(613\) −29.7879 7.98165i −1.20312 0.322376i −0.399063 0.916924i \(-0.630664\pi\)
−0.804060 + 0.594548i \(0.797331\pi\)
\(614\) −3.72926 + 6.45927i −0.150501 + 0.260675i
\(615\) −15.1312 + 7.49291i −0.610148 + 0.302143i
\(616\) −2.41892 + 0.257992i −0.0974611 + 0.0103948i
\(617\) 13.2098 13.2098i 0.531808 0.531808i −0.389302 0.921110i \(-0.627284\pi\)
0.921110 + 0.389302i \(0.127284\pi\)
\(618\) −2.10950 + 6.41899i −0.0848566 + 0.258210i
\(619\) −14.7495 + 8.51561i −0.592831 + 0.342271i −0.766216 0.642583i \(-0.777863\pi\)
0.173385 + 0.984854i \(0.444529\pi\)
\(620\) −17.9965 + 17.7079i −0.722758 + 0.711165i
\(621\) 30.6414 + 25.3280i 1.22960 + 1.01638i
\(622\) −5.16425 5.16425i −0.207068 0.207068i
\(623\) −0.371840 + 2.37125i −0.0148974 + 0.0950020i
\(624\) 15.9973 + 10.4652i 0.640403 + 0.418945i
\(625\) 11.7934 + 22.0435i 0.471736 + 0.881740i
\(626\) −3.31107 + 1.91165i −0.132337 + 0.0764047i
\(627\) 1.61134 1.44110i 0.0643508 0.0575518i
\(628\) −4.50384 16.8086i −0.179723 0.670735i
\(629\) 17.1879 0.685327
\(630\) 1.34832 + 5.31289i 0.0537185 + 0.211671i
\(631\) 6.51082 0.259191 0.129596 0.991567i \(-0.458632\pi\)
0.129596 + 0.991567i \(0.458632\pi\)
\(632\) −1.32194 4.93356i −0.0525841 0.196247i
\(633\) −32.9253 + 29.4466i −1.30866 + 1.17040i
\(634\) −1.17480 + 0.678272i −0.0466573 + 0.0269376i
\(635\) −12.2743 + 6.95487i −0.487091 + 0.275996i
\(636\) −19.1875 12.5523i −0.760834 0.497730i
\(637\) −1.10758 + 22.4521i −0.0438840 + 0.889586i
\(638\) 0.822967 + 0.822967i 0.0325816 + 0.0325816i
\(639\) −37.0206 4.14246i −1.46451 0.163873i
\(640\) 0.157967 19.5380i 0.00624418 0.772308i
\(641\) 36.6801 21.1773i 1.44878 0.836451i 0.450367 0.892843i \(-0.351293\pi\)
0.998409 + 0.0563924i \(0.0179598\pi\)
\(642\) 0.364183 1.10817i 0.0143732 0.0437360i
\(643\) 11.2098 11.2098i 0.442072 0.442072i −0.450636 0.892708i \(-0.648803\pi\)
0.892708 + 0.450636i \(0.148803\pi\)
\(644\) 15.6269 35.2441i 0.615787 1.38881i
\(645\) 13.9615 + 4.71364i 0.549734 + 0.185599i
\(646\) −1.22854 + 2.12790i −0.0483363 + 0.0837209i
\(647\) −22.9610 6.15237i −0.902689 0.241875i −0.222518 0.974929i \(-0.571428\pi\)
−0.680171 + 0.733054i \(0.738094\pi\)
\(648\) 5.78825 + 9.18064i 0.227384 + 0.360650i
\(649\) 5.07783 + 2.93169i 0.199322 + 0.115079i
\(650\) −2.40969 4.33408i −0.0945160 0.169996i
\(651\) −27.1320 + 1.37237i −1.06339 + 0.0537874i
\(652\) 3.64616 + 3.64616i 0.142794 + 0.142794i
\(653\) 21.0505 5.64046i 0.823769 0.220728i 0.177775 0.984071i \(-0.443110\pi\)
0.645994 + 0.763343i \(0.276443\pi\)
\(654\) 1.26030 + 0.0702921i 0.0492817 + 0.00274864i
\(655\) 3.42597 3.37102i 0.133864 0.131717i
\(656\) 12.9759 + 7.49163i 0.506623 + 0.292499i
\(657\) −1.51800 + 3.87653i −0.0592227 + 0.151238i
\(658\) 2.20058 2.72604i 0.0857876 0.106272i
\(659\) −42.6184 −1.66018 −0.830088 0.557632i \(-0.811710\pi\)
−0.830088 + 0.557632i \(0.811710\pi\)
\(660\) −5.61293 0.358598i −0.218483 0.0139584i
\(661\) −22.7467 39.3985i −0.884744 1.53242i −0.846006 0.533173i \(-0.821000\pi\)
−0.0387381 0.999249i \(-0.512334\pi\)
\(662\) −1.85511 0.497076i −0.0721010 0.0193194i
\(663\) −8.44027 + 25.6828i −0.327793 + 0.997439i
\(664\) 8.61819i 0.334451i
\(665\) −3.99674 + 8.82087i −0.154987 + 0.342059i
\(666\) −3.00210 + 1.31254i −0.116329 + 0.0508601i
\(667\) −36.5253 + 9.78693i −1.41427 + 0.378951i
\(668\) −2.68783 + 10.0311i −0.103995 + 0.388115i
\(669\) −2.10809 + 37.7971i −0.0815035 + 1.46132i
\(670\) 0.00898467 0.0324786i 0.000347108 0.00125476i
\(671\) 3.35026i 0.129335i
\(672\) 10.6715 11.8086i 0.411664 0.455527i
\(673\) −32.1249 + 32.1249i −1.23832 + 1.23832i −0.277636 + 0.960686i \(0.589551\pi\)
−0.960686 + 0.277636i \(0.910449\pi\)
\(674\) 3.28666 5.69266i 0.126597 0.219273i
\(675\) 2.03690 + 25.9008i 0.0784004 + 0.996922i
\(676\) 2.55910 + 4.43248i 0.0984268 + 0.170480i
\(677\) −11.0202 41.1280i −0.423542 1.58068i −0.767087 0.641543i \(-0.778295\pi\)
0.343545 0.939136i \(-0.388372\pi\)
\(678\) −1.84809 8.84036i −0.0709753 0.339512i
\(679\) −12.7606 5.65793i −0.489706 0.217131i
\(680\) 12.6861 3.28953i 0.486489 0.126148i
\(681\) −19.8615 + 10.0361i −0.761094 + 0.384584i
\(682\) −0.361305 + 1.34841i −0.0138351 + 0.0516332i
\(683\) −0.603360 + 2.25177i −0.0230869 + 0.0861617i −0.976508 0.215481i \(-0.930868\pi\)
0.953421 + 0.301642i \(0.0975348\pi\)
\(684\) −1.04008 + 9.29507i −0.0397685 + 0.355406i
\(685\) −9.99568 + 16.9942i −0.381915 + 0.649316i
\(686\) 5.60017 + 1.16343i 0.213815 + 0.0444201i
\(687\) −25.9409 + 5.42298i −0.989708 + 0.206899i
\(688\) −3.38438 12.6307i −0.129028 0.481540i
\(689\) 11.1600 + 19.3297i 0.425163 + 0.736404i
\(690\) −5.07158 + 7.61731i −0.193072 + 0.289986i
\(691\) 8.27824 14.3383i 0.314919 0.545456i −0.664501 0.747287i \(-0.731356\pi\)
0.979420 + 0.201831i \(0.0646893\pi\)
\(692\) −1.78210 + 1.78210i −0.0677454 + 0.0677454i
\(693\) −4.25711 4.30143i −0.161714 0.163398i
\(694\) 5.94884i 0.225815i
\(695\) 22.3326 + 6.17796i 0.847125 + 0.234343i
\(696\) −10.3072 0.574875i −0.390694 0.0217906i
\(697\) −5.48418 + 20.4672i −0.207728 + 0.775252i
\(698\) −2.75752 + 0.738875i −0.104374 + 0.0279668i
\(699\) 6.50607 9.94523i 0.246082 0.376163i
\(700\) 23.6519 8.68414i 0.893957 0.328230i
\(701\) 26.5973i 1.00457i 0.864703 + 0.502284i \(0.167507\pi\)
−0.864703 + 0.502284i \(0.832493\pi\)
\(702\) −0.487050 5.13039i −0.0183825 0.193634i
\(703\) −5.59148 1.49823i −0.210886 0.0565069i
\(704\) 2.21152 + 3.83047i 0.0833500 + 0.144366i
\(705\) 12.4668 10.9695i 0.469525 0.413134i
\(706\) −3.64717 −0.137263
\(707\) 31.5562 39.0912i 1.18679 1.47017i
\(708\) −24.8318 + 5.19111i −0.933235 + 0.195094i
\(709\) −13.7850 7.95880i −0.517708 0.298899i 0.218288 0.975884i \(-0.429953\pi\)
−0.735997 + 0.676985i \(0.763286\pi\)
\(710\) 0.0693280 8.57481i 0.00260184 0.321807i
\(711\) 7.53760 10.2295i 0.282682 0.383636i
\(712\) −1.05671 + 0.283144i −0.0396018 + 0.0106113i
\(713\) −32.0712 32.0712i −1.20108 1.20108i
\(714\) 6.12324 + 3.13401i 0.229156 + 0.117287i
\(715\) 4.71930 + 2.77580i 0.176492 + 0.103809i
\(716\) −0.398625 0.230146i −0.0148973 0.00860096i
\(717\) 24.1532 21.6013i 0.902018 0.806715i
\(718\) −4.16523 1.11607i −0.155445 0.0416514i
\(719\) 10.6906 18.5167i 0.398694 0.690558i −0.594871 0.803821i \(-0.702797\pi\)
0.993565 + 0.113263i \(0.0361302\pi\)
\(720\) 18.1297 14.2422i 0.675655 0.530775i
\(721\) 19.6848 + 27.0065i 0.733099 + 1.00577i
\(722\) −3.56409 + 3.56409i −0.132642 + 0.132642i
\(723\) 3.24508 + 1.06644i 0.120686 + 0.0396615i
\(724\) 30.8223 17.7952i 1.14550 0.661355i
\(725\) −21.1991 12.7007i −0.787315 0.471692i
\(726\) 4.97418 2.51348i 0.184609 0.0932840i
\(727\) 7.43836 + 7.43836i 0.275873 + 0.275873i 0.831459 0.555586i \(-0.187506\pi\)
−0.555586 + 0.831459i \(0.687506\pi\)
\(728\) −9.55960 + 3.68643i −0.354302 + 0.136628i
\(729\) −8.85885 + 25.5053i −0.328106 + 0.944641i
\(730\) −0.923641 0.255510i −0.0341855 0.00945685i
\(731\) 16.0148 9.24617i 0.592330 0.341982i
\(732\) 9.66302 + 10.8046i 0.357156 + 0.399349i
\(733\) 9.45077 + 35.2708i 0.349072 + 1.30276i 0.887782 + 0.460264i \(0.152245\pi\)
−0.538710 + 0.842491i \(0.681088\pi\)
\(734\) 4.65810 0.171934
\(735\) 25.2280 + 9.92723i 0.930547 + 0.366171i
\(736\) 26.5725 0.979475
\(737\) 0.00962968 + 0.0359385i 0.000354714 + 0.00132381i
\(738\) −0.605083 3.99367i −0.0222734 0.147009i
\(739\) 33.2198 19.1794i 1.22201 0.705527i 0.256663 0.966501i \(-0.417377\pi\)
0.965346 + 0.260974i \(0.0840437\pi\)
\(740\) 7.42475 + 13.1036i 0.272939 + 0.481697i
\(741\) 4.98446 7.61928i 0.183109 0.279901i
\(742\) 5.29885 2.04337i 0.194527 0.0750146i
\(743\) −30.8182 30.8182i −1.13061 1.13061i −0.990076 0.140534i \(-0.955118\pi\)
−0.140534 0.990076i \(-0.544882\pi\)
\(744\) −5.58432 11.0514i −0.204731 0.405164i
\(745\) −27.3737 27.8199i −1.00289 1.01924i
\(746\) −9.31740 + 5.37940i −0.341134 + 0.196954i
\(747\) 16.7524 13.3806i 0.612938 0.489571i
\(748\) −4.99090 + 4.99090i −0.182485 + 0.182485i
\(749\) −3.39837 4.66239i −0.124174 0.170360i
\(750\) −5.88201 + 1.08146i −0.214781 + 0.0394894i
\(751\) −19.9356 + 34.5294i −0.727459 + 1.26000i 0.230495 + 0.973074i \(0.425966\pi\)
−0.957954 + 0.286923i \(0.907368\pi\)
\(752\) −14.2335 3.81385i −0.519042 0.139077i
\(753\) 20.6699 + 23.1118i 0.753254 + 0.842242i
\(754\) 4.24517 + 2.45095i 0.154600 + 0.0892583i
\(755\) −32.9342 + 8.53991i −1.19860 + 0.310799i
\(756\) 26.1357 + 1.59349i 0.950545 + 0.0579545i
\(757\) 0.798673 + 0.798673i 0.0290283 + 0.0290283i 0.721472 0.692444i \(-0.243466\pi\)
−0.692444 + 0.721472i \(0.743466\pi\)
\(758\) 5.68591 1.52354i 0.206522 0.0553373i
\(759\) 0.562653 10.0881i 0.0204230 0.366175i
\(760\) −4.41371 0.0356852i −0.160102 0.00129444i
\(761\) 37.3941 + 21.5895i