Properties

Label 105.2.x.a.23.7
Level 105
Weight 2
Character 105.23
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 23.7
Character \(\chi\) = 105.23
Dual form 105.2.x.a.32.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.298314 - 0.0799329i) q^{2} +(-1.64547 + 0.540759i) q^{3} +(-1.64945 + 0.952310i) q^{4} +(-1.56830 + 1.59387i) q^{5} +(-0.447643 + 0.292843i) q^{6} +(0.951942 + 2.46856i) q^{7} +(-0.852694 + 0.852694i) q^{8} +(2.41516 - 1.77961i) q^{9} +O(q^{10})\) \(q+(0.298314 - 0.0799329i) q^{2} +(-1.64547 + 0.540759i) q^{3} +(-1.64945 + 0.952310i) q^{4} +(-1.56830 + 1.59387i) q^{5} +(-0.447643 + 0.292843i) q^{6} +(0.951942 + 2.46856i) q^{7} +(-0.852694 + 0.852694i) q^{8} +(2.41516 - 1.77961i) q^{9} +(-0.340444 + 0.600832i) q^{10} +(0.660315 - 0.381233i) q^{11} +(2.19915 - 2.45895i) 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} +(-1.25794 + 4.69471i) q^{17} +(0.578226 - 0.723932i) q^{18} +(1.41761 + 0.818455i) q^{19} +(1.06898 - 4.12252i) q^{20} +(-2.90129 - 3.54718i) q^{21} +(0.166508 - 0.166508i) q^{22} +(1.98015 + 7.39003i) q^{23} +(0.941983 - 1.86419i) q^{24} +(-0.0808456 - 4.99935i) q^{25} +(-0.858909 - 0.495891i) q^{26} +(-3.01174 + 4.23432i) q^{27} +(-3.92102 - 3.16523i) q^{28} +4.94251 q^{29} +(0.235285 - 1.17275i) q^{30} +(2.96413 + 5.13403i) q^{31} +(0.898930 - 3.35485i) q^{32} +(-0.880375 + 0.984380i) q^{33} +1.50105i q^{34} +(-5.42750 - 2.35419i) q^{35} +(-2.28894 + 5.23535i) q^{36} +(-0.915280 - 3.41587i) q^{37} +(0.488313 + 0.130843i) q^{38} +(4.96442 + 2.50855i) q^{39} +(-0.0218004 - 2.69637i) q^{40} -4.35963i q^{41} +(-1.14903 - 0.826265i) q^{42} +(2.69037 + 2.69037i) q^{43} +(-0.726104 + 1.25765i) q^{44} +(-0.951240 + 6.64042i) q^{45} +(1.18141 + 2.04627i) q^{46} +(4.14148 - 1.10971i) q^{47} +(-1.21809 + 5.82678i) q^{48} +(-5.18761 + 4.69986i) q^{49} +(-0.423730 - 1.48491i) q^{50} +(-0.468795 - 8.40527i) q^{51} +(5.90798 + 1.58304i) q^{52} +(-6.71354 - 1.79889i) q^{53} +(-0.559982 + 1.50389i) q^{54} +(-0.427939 + 1.65035i) q^{55} +(-2.91664 - 1.29321i) q^{56} +(-2.77522 - 0.580162i) q^{57} +(1.47442 - 0.395069i) q^{58} +(-3.84501 - 6.65975i) q^{59} +(0.470314 + 7.36155i) q^{60} +(-2.19699 + 3.80529i) q^{61} +(1.29462 + 1.29462i) q^{62} +(6.69217 + 4.26789i) q^{63} +5.80098i q^{64} +(7.18056 - 0.0580554i) q^{65} +(-0.183944 + 0.364025i) q^{66} +(-0.0471345 - 0.0126297i) q^{67} +(-2.39591 - 8.94164i) q^{68} +(-7.25451 - 11.0893i) q^{69} +(-1.80728 - 0.268450i) q^{70} +12.4172i q^{71} +(-0.541931 + 3.57685i) q^{72} +(0.359168 - 1.34043i) q^{73} +(-0.546081 - 0.945840i) q^{74} +(2.83647 + 8.18257i) q^{75} -3.11769 q^{76} +(1.56968 + 1.26712i) q^{77} +(1.68147 + 0.351513i) q^{78} +(-3.66808 - 2.11777i) q^{79} +(2.04896 + 7.40677i) q^{80} +(2.66599 - 8.59607i) q^{81} +(-0.348478 - 1.30054i) q^{82} +(5.05351 - 5.05351i) q^{83} +(8.16355 + 3.08797i) q^{84} +(-5.50993 - 9.36774i) q^{85} +(1.01762 + 0.587525i) q^{86} +(-8.13276 + 2.67271i) q^{87} +(-0.237971 + 0.888122i) 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} +(-7.65367 - 6.84502i) q^{93} +(1.14676 - 0.662081i) q^{94} +(-3.52775 + 0.975894i) q^{95} +(0.335002 + 6.00642i) q^{96} +(3.73061 - 3.73061i) q^{97} +(-1.17186 + 1.81669i) 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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.298314 0.0799329i 0.210940 0.0565211i −0.151802 0.988411i \(-0.548508\pi\)
0.362741 + 0.931890i \(0.381841\pi\)
\(3\) −1.64547 + 0.540759i −0.950014 + 0.312207i
\(4\) −1.64945 + 0.952310i −0.824725 + 0.476155i
\(5\) −1.56830 + 1.59387i −0.701367 + 0.712801i
\(6\) −0.447643 + 0.292843i −0.182749 + 0.119553i
\(7\) 0.951942 + 2.46856i 0.359800 + 0.933029i
\(8\) −0.852694 + 0.852694i −0.301473 + 0.301473i
\(9\) 2.41516 1.77961i 0.805053 0.593203i
\(10\) −0.340444 + 0.600832i −0.107658 + 0.190000i
\(11\) 0.660315 0.381233i 0.199092 0.114946i −0.397140 0.917758i \(-0.629997\pi\)
0.596232 + 0.802812i \(0.296664\pi\)
\(12\) 2.19915 2.45895i 0.634841 0.709839i
\(13\) −2.27077 2.27077i −0.629797 0.629797i 0.318220 0.948017i \(-0.396915\pi\)
−0.948017 + 0.318220i \(0.896915\pi\)
\(14\) 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
\(17\) −1.25794 + 4.69471i −0.305096 + 1.13864i 0.627766 + 0.778402i \(0.283970\pi\)
−0.932862 + 0.360233i \(0.882697\pi\)
\(18\) 0.578226 0.723932i 0.136289 0.170632i
\(19\) 1.41761 + 0.818455i 0.325221 + 0.187767i 0.653717 0.756739i \(-0.273209\pi\)
−0.328496 + 0.944505i \(0.606542\pi\)
\(20\) 1.06898 4.12252i 0.239031 0.921823i
\(21\) −2.90129 3.54718i −0.633114 0.774059i
\(22\) 0.166508 0.166508i 0.0354996 0.0354996i
\(23\) 1.98015 + 7.39003i 0.412890 + 1.54093i 0.789024 + 0.614363i \(0.210587\pi\)
−0.376133 + 0.926566i \(0.622747\pi\)
\(24\) 0.941983 1.86419i 0.192281 0.380525i
\(25\) −0.0808456 4.99935i −0.0161691 0.999869i
\(26\) −0.858909 0.495891i −0.168446 0.0972523i
\(27\) −3.01174 + 4.23432i −0.579610 + 0.814894i
\(28\) −3.92102 3.16523i −0.741003 0.598172i
\(29\) 4.94251 0.917801 0.458900 0.888488i \(-0.348243\pi\)
0.458900 + 0.888488i \(0.348243\pi\)
\(30\) 0.235285 1.17275i 0.0429570 0.214114i
\(31\) 2.96413 + 5.13403i 0.532374 + 0.922099i 0.999286 + 0.0377949i \(0.0120334\pi\)
−0.466911 + 0.884304i \(0.654633\pi\)
\(32\) 0.898930 3.35485i 0.158910 0.593060i
\(33\) −0.880375 + 0.984380i −0.153254 + 0.171358i
\(34\) 1.50105i 0.257428i
\(35\) −5.42750 2.35419i −0.917416 0.397930i
\(36\) −2.28894 + 5.23535i −0.381491 + 0.872559i
\(37\) −0.915280 3.41587i −0.150471 0.561566i −0.999451 0.0331401i \(-0.989449\pi\)
0.848980 0.528426i \(-0.177217\pi\)
\(38\) 0.488313 + 0.130843i 0.0792148 + 0.0212255i
\(39\) 4.96442 + 2.50855i 0.794943 + 0.401689i
\(40\) −0.0218004 2.69637i −0.00344694 0.426333i
\(41\) 4.35963i 0.680860i −0.940270 0.340430i \(-0.889427\pi\)
0.940270 0.340430i \(-0.110573\pi\)
\(42\) −1.14903 0.826265i −0.177299 0.127495i
\(43\) 2.69037 + 2.69037i 0.410277 + 0.410277i 0.881835 0.471558i \(-0.156308\pi\)
−0.471558 + 0.881835i \(0.656308\pi\)
\(44\) −0.726104 + 1.25765i −0.109464 + 0.189598i
\(45\) −0.951240 + 6.64042i −0.141802 + 0.989895i
\(46\) 1.18141 + 2.04627i 0.174190 + 0.301706i
\(47\) 4.14148 1.10971i 0.604097 0.161867i 0.0562089 0.998419i \(-0.482099\pi\)
0.547888 + 0.836552i \(0.315432\pi\)
\(48\) −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
\(51\) −0.468795 8.40527i −0.0656444 1.17697i
\(52\) 5.90798 + 1.58304i 0.819290 + 0.219528i
\(53\) −6.71354 1.79889i −0.922176 0.247096i −0.233661 0.972318i \(-0.575071\pi\)
−0.688515 + 0.725222i \(0.741737\pi\)
\(54\) −0.559982 + 1.50389i −0.0762039 + 0.204654i
\(55\) −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
\(58\) 1.47442 0.395069i 0.193601 0.0518751i
\(59\) −3.84501 6.65975i −0.500577 0.867026i −1.00000 0.000666931i \(-0.999788\pi\)
0.499422 0.866359i \(-0.333546\pi\)
\(60\) 0.470314 + 7.36155i 0.0607172 + 0.950372i
\(61\) −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
\(63\) 6.69217 + 4.26789i 0.843134 + 0.537704i
\(64\) 5.80098i 0.725122i
\(65\) 7.18056 0.0580554i 0.890638 0.00720089i
\(66\) −0.183944 + 0.364025i −0.0226419 + 0.0448084i
\(67\) −0.0471345 0.0126297i −0.00575840 0.00154296i 0.255939 0.966693i \(-0.417615\pi\)
−0.261697 + 0.965150i \(0.584282\pi\)
\(68\) −2.39591 8.94164i −0.290546 1.08433i
\(69\) −7.25451 11.0893i −0.873341 1.33500i
\(70\) −1.80728 0.268450i −0.216011 0.0320859i
\(71\) 12.4172i 1.47365i 0.676082 + 0.736826i \(0.263676\pi\)
−0.676082 + 0.736826i \(0.736324\pi\)
\(72\) −0.541931 + 3.57685i −0.0638672 + 0.421536i
\(73\) 0.359168 1.34043i 0.0420374 0.156886i −0.941717 0.336407i \(-0.890788\pi\)
0.983754 + 0.179521i \(0.0574549\pi\)
\(74\) −0.546081 0.945840i −0.0634806 0.109952i
\(75\) 2.83647 + 8.18257i 0.327527 + 0.944842i
\(76\) −3.11769 −0.357624
\(77\) 1.56968 + 1.26712i 0.178882 + 0.144401i
\(78\) 1.68147 + 0.351513i 0.190389 + 0.0398010i
\(79\) −3.66808 2.11777i −0.412692 0.238268i 0.279254 0.960217i \(-0.409913\pi\)
−0.691946 + 0.721950i \(0.743246\pi\)
\(80\) 2.04896 + 7.40677i 0.229081 + 0.828102i
\(81\) 2.66599 8.59607i 0.296221 0.955119i
\(82\) −0.348478 1.30054i −0.0384830 0.143620i
\(83\) 5.05351 5.05351i 0.554695 0.554695i −0.373097 0.927792i \(-0.621704\pi\)
0.927792 + 0.373097i \(0.121704\pi\)
\(84\) 8.16355 + 3.08797i 0.890716 + 0.336925i
\(85\) −5.50993 9.36774i −0.597635 1.01607i
\(86\) 1.01762 + 0.587525i 0.109733 + 0.0633544i
\(87\) −8.13276 + 2.67271i −0.871924 + 0.286544i
\(88\) −0.237971 + 0.888122i −0.0253678 + 0.0946741i
\(89\) 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
\(93\) −7.65367 6.84502i −0.793649 0.709796i
\(94\) 1.14676 0.662081i 0.118279 0.0682884i
\(95\) −3.52775 + 0.975894i −0.361939 + 0.100125i
\(96\) 0.335002 + 6.00642i 0.0341910 + 0.613028i
\(97\) 3.73061 3.73061i 0.378786 0.378786i −0.491878 0.870664i \(-0.663689\pi\)
0.870664 + 0.491878i \(0.163689\pi\)
\(98\) −1.17186 + 1.81669i −0.118376 + 0.183514i
\(99\) 0.916321 2.09584i 0.0920937 0.210640i
\(100\) 4.89428 + 8.16918i 0.489428 + 0.816918i
\(101\) 16.4444 9.49420i 1.63628 0.944708i 0.654185 0.756335i \(-0.273012\pi\)
0.982098 0.188373i \(-0.0603214\pi\)
\(102\) −0.811705 2.46993i −0.0803708 0.244560i
\(103\) 12.2009 3.26921i 1.20219 0.322125i 0.398494 0.917171i \(-0.369533\pi\)
0.803692 + 0.595046i \(0.202866\pi\)
\(104\) 3.87254 0.379733
\(105\) 10.2039 + 0.938778i 0.995794 + 0.0916154i
\(106\) −2.14653 −0.208490
\(107\) −2.10635 + 0.564395i −0.203629 + 0.0545621i −0.359192 0.933264i \(-0.616948\pi\)
0.155563 + 0.987826i \(0.450281\pi\)
\(108\) 0.935331 9.85240i 0.0900023 0.948047i
\(109\) 2.04357 1.17986i 0.195739 0.113010i −0.398928 0.916982i \(-0.630618\pi\)
0.594666 + 0.803973i \(0.297284\pi\)
\(110\) 0.00425702 + 0.526527i 0.000405891 + 0.0502024i
\(111\) 3.35323 + 5.12578i 0.318275 + 0.486517i
\(112\) 8.98318 + 1.40867i 0.848831 + 0.133107i
\(113\) 11.9386 11.9386i 1.12309 1.12309i 0.131814 0.991274i \(-0.457920\pi\)
0.991274 0.131814i \(-0.0420801\pi\)
\(114\) −0.874260 + 0.0487609i −0.0818819 + 0.00456688i
\(115\) −14.8842 8.43371i −1.38796 0.786447i
\(116\) −8.15242 + 4.70680i −0.756933 + 0.437015i
\(117\) −9.52533 1.44319i −0.880617 0.133423i
\(118\) −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
\(122\) −0.351223 + 1.31078i −0.0317983 + 0.118673i
\(123\) 2.35751 + 7.17366i 0.212570 + 0.646827i
\(124\) −9.77837 5.64555i −0.878124 0.506985i
\(125\) 8.09510 + 7.71164i 0.724048 + 0.689750i
\(126\) 2.33751 + 0.738246i 0.208242 + 0.0657682i
\(127\) 4.46126 4.46126i 0.395873 0.395873i −0.480901 0.876775i \(-0.659691\pi\)
0.876775 + 0.480901i \(0.159691\pi\)
\(128\) 2.26155 + 8.44022i 0.199895 + 0.746017i
\(129\) −5.88177 2.97209i −0.517861 0.261678i
\(130\) 2.13742 0.591281i 0.187464 0.0518588i
\(131\) 1.86149 + 1.07473i 0.162639 + 0.0938999i 0.579111 0.815249i \(-0.303400\pi\)
−0.416471 + 0.909149i \(0.636733\pi\)
\(132\) 0.514699 2.46207i 0.0447988 0.214296i
\(133\) −0.670931 + 4.27857i −0.0581771 + 0.370999i
\(134\) −0.0150704 −0.00130188
\(135\) −2.02563 11.4410i −0.174338 0.984686i
\(136\) −2.93051 5.07580i −0.251289 0.435246i
\(137\) −2.28207 + 8.51678i −0.194970 + 0.727638i 0.797305 + 0.603577i \(0.206258\pi\)
−0.992275 + 0.124061i \(0.960408\pi\)
\(138\) −3.05052 2.72822i −0.259678 0.232241i
\(139\) 10.3626i 0.878941i 0.898257 + 0.439471i \(0.144834\pi\)
−0.898257 + 0.439471i \(0.855166\pi\)
\(140\) 11.1943 1.28555i 0.946092 0.108649i
\(141\) −6.21461 + 4.06553i −0.523364 + 0.342380i
\(142\) 0.992544 + 3.70423i 0.0832925 + 0.310852i
\(143\) −2.36511 0.633730i −0.197780 0.0529951i
\(144\) −1.14654 10.2465i −0.0955452 0.853875i
\(145\) −7.75136 + 7.87772i −0.643715 + 0.654209i
\(146\) 0.428578i 0.0354694i
\(147\) 5.99459 10.5387i 0.494425 0.869220i
\(148\) 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 \(0.913113\pi\)
\(150\) 1.50021 + 2.21425i 0.122492 + 0.180792i
\(151\) 7.60786 + 13.1772i 0.619119 + 1.07235i 0.989647 + 0.143524i \(0.0458434\pi\)
−0.370528 + 0.928821i \(0.620823\pi\)
\(152\) −1.90668 + 0.510892i −0.154652 + 0.0414388i
\(153\) 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
\(156\) −10.5775 + 0.589947i −0.846875 + 0.0472336i
\(157\) −8.82516 2.36469i −0.704324 0.188723i −0.111158 0.993803i \(-0.535456\pi\)
−0.593167 + 0.805080i \(0.702122\pi\)
\(158\) −1.26352 0.338559i −0.100520 0.0269343i
\(159\) 12.0197 0.670387i 0.953225 0.0531652i
\(160\) 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
\(163\) −2.61508 + 0.700710i −0.204829 + 0.0548838i −0.359775 0.933039i \(-0.617146\pi\)
0.154946 + 0.987923i \(0.450480\pi\)
\(164\) 4.15172 + 7.19099i 0.324195 + 0.561522i
\(165\) −0.188278 2.94701i −0.0146574 0.229424i
\(166\) 1.10359 1.91147i 0.0856551 0.148359i
\(167\) −3.85551 3.85551i −0.298348 0.298348i 0.542018 0.840367i \(-0.317660\pi\)
−0.840367 + 0.542018i \(0.817660\pi\)
\(168\) 5.49857 + 0.550747i 0.424224 + 0.0424911i
\(169\) 2.68725i 0.206712i
\(170\) −2.39248 2.35410i −0.183495 0.180551i
\(171\) 4.88027 0.546083i 0.373204 0.0417600i
\(172\) −6.99969 1.87556i −0.533721 0.143010i
\(173\) 0.342481 + 1.27815i 0.0260383 + 0.0971763i 0.977722 0.209903i \(-0.0673149\pi\)
−0.951684 + 0.307080i \(0.900648\pi\)
\(174\) −2.21248 + 1.44738i −0.167727 + 0.109726i
\(175\) 12.2642 4.95866i 0.927090 0.374839i
\(176\) 2.62045i 0.197524i
\(177\) 9.92818 + 8.87921i 0.746247 + 0.667403i
\(178\) 0.0725151 0.270630i 0.00543524 0.0202846i
\(179\) −0.120836 0.209294i −0.00903168 0.0156433i 0.861474 0.507801i \(-0.169542\pi\)
−0.870506 + 0.492158i \(0.836208\pi\)
\(180\) −4.75471 11.8589i −0.354395 0.883911i
\(181\) 18.6864 1.38895 0.694475 0.719517i \(-0.255637\pi\)
0.694475 + 0.719517i \(0.255637\pi\)
\(182\) 0.406508 2.59233i 0.0301324 0.192156i
\(183\) 1.55734 7.44955i 0.115122 0.550686i
\(184\) −7.98990 4.61297i −0.589023 0.340073i
\(185\) 6.87989 + 3.89829i 0.505820 + 0.286608i
\(186\) −2.83034 1.43018i −0.207530 0.104866i
\(187\) 0.959140 + 3.57956i 0.0701393 + 0.261763i
\(188\) −5.77437 + 5.77437i −0.421140 + 0.421140i
\(189\) −13.3197 3.40385i −0.968864 0.247594i
\(190\) −0.974370 + 0.573106i −0.0706882 + 0.0415775i
\(191\) −12.3330 7.12049i −0.892388 0.515220i −0.0176651 0.999844i \(-0.505623\pi\)
−0.874723 + 0.484624i \(0.838957\pi\)
\(192\) −3.13693 9.54535i −0.226388 0.688876i
\(193\) 1.76414 6.58385i 0.126985 0.473916i −0.872917 0.487868i \(-0.837775\pi\)
0.999903 + 0.0139523i \(0.00444129\pi\)
\(194\) 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 0.925132 0.379646i \(-0.123954\pi\)
−0.379646 + 0.925132i \(0.623954\pi\)
\(198\) 0.105824 0.698462i 0.00752061 0.0496375i
\(199\) 14.1855 8.19000i 1.00558 0.580573i 0.0956874 0.995411i \(-0.469495\pi\)
0.909895 + 0.414838i \(0.136162\pi\)
\(200\) 4.33185 + 4.19398i 0.306308 + 0.296559i
\(201\) 0.0843881 0.00470666i 0.00595228 0.000331982i
\(202\) 4.14670 4.14670i 0.291761 0.291761i
\(203\) 4.70498 + 12.2009i 0.330225 + 0.856335i
\(204\) 8.77767 + 13.4176i 0.614560 + 0.939421i
\(205\) 6.94869 + 6.83723i 0.485318 + 0.477533i
\(206\) 3.37836 1.95050i 0.235382 0.135898i
\(207\) 17.9337 + 14.3242i 1.24648 + 0.995601i
\(208\) −10.6607 + 2.85654i −0.739189 + 0.198065i
\(209\) 1.24809 0.0863321
\(210\) 3.11899 0.535574i 0.215231 0.0369581i
\(211\) −25.5028 −1.75568 −0.877842 0.478950i \(-0.841018\pi\)
−0.877842 + 0.478950i \(0.841018\pi\)
\(212\) 12.7867 3.42620i 0.878197 0.235312i
\(213\) −6.71472 20.4322i −0.460085 1.39999i
\(214\) −0.583239 + 0.336733i −0.0398694 + 0.0230186i
\(215\) −8.50741 + 0.0687831i −0.580201 + 0.00469097i
\(216\) −1.04248 6.17867i −0.0709320 0.420405i
\(217\) −9.85200 + 12.2044i −0.668797 + 0.828492i
\(218\) 0.515316 0.515316i 0.0349016 0.0349016i
\(219\) 0.133850 + 2.39987i 0.00904475 + 0.162168i
\(220\) −0.865778 3.12969i −0.0583707 0.211004i
\(221\) 13.5171 7.80410i 0.909258 0.524960i
\(222\) 1.41003 + 1.26106i 0.0946352 + 0.0846365i
\(223\) −15.4546 15.4546i −1.03491 1.03491i −0.999368 0.0355465i \(-0.988683\pi\)
−0.0355465 0.999368i \(-0.511317\pi\)
\(224\) 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
\(227\) 3.32527 12.4101i 0.220706 0.823686i −0.763374 0.645957i \(-0.776458\pi\)
0.984080 0.177728i \(-0.0568749\pi\)
\(228\) 5.13008 1.68592i 0.339748 0.111653i
\(229\) 13.2508 + 7.65038i 0.875641 + 0.505551i 0.869219 0.494428i \(-0.164622\pi\)
0.00642204 + 0.999979i \(0.497956\pi\)
\(230\) −5.11430 1.32615i −0.337227 0.0874438i
\(231\) −3.26807 1.23619i −0.215023 0.0813353i
\(232\) −4.21445 + 4.21445i −0.276692 + 0.276692i
\(233\) −1.77586 6.62761i −0.116341 0.434189i 0.883043 0.469292i \(-0.155491\pi\)
−0.999384 + 0.0351029i \(0.988824\pi\)
\(234\) −2.95690 + 0.330865i −0.193298 + 0.0216293i
\(235\) −4.72637 + 8.34134i −0.308314 + 0.544129i
\(236\) 12.6843 + 7.32328i 0.825677 + 0.476705i
\(237\) 7.18093 + 1.50118i 0.466452 + 0.0975122i
\(238\) −3.70543 + 1.42891i −0.240188 + 0.0926225i
\(239\) 18.7082 1.21013 0.605067 0.796174i \(-0.293146\pi\)
0.605067 + 0.796174i \(0.293146\pi\)
\(240\) −7.37679 11.0796i −0.476170 0.715188i
\(241\) 0.986063 + 1.70791i 0.0635179 + 0.110016i 0.896036 0.443982i \(-0.146435\pi\)
−0.832518 + 0.553998i \(0.813101\pi\)
\(242\) −0.832793 + 3.10802i −0.0535339 + 0.199791i
\(243\) 0.261589 + 15.5863i 0.0167810 + 0.999859i
\(244\) 8.36885i 0.535761i
\(245\) 0.644793 15.6392i 0.0411943 0.999151i
\(246\) 1.27669 + 1.95156i 0.0813987 + 0.124427i
\(247\) −1.36053 5.07757i −0.0865685 0.323078i
\(248\) −6.90525 1.85026i −0.438484 0.117491i
\(249\) −5.58268 + 11.0481i −0.353788 + 0.700148i
\(250\) 3.03129 + 1.65342i 0.191716 + 0.104572i
\(251\) 17.9016i 1.12994i −0.825112 0.564970i \(-0.808888\pi\)
0.825112 0.564970i \(-0.191112\pi\)
\(252\) −15.1027 0.666655i −0.951383 0.0419953i
\(253\) 4.12485 + 4.12485i 0.259327 + 0.259327i
\(254\) 0.974254 1.68746i 0.0611301 0.105881i
\(255\) 14.1321 + 12.4348i 0.884988 + 0.778698i
\(256\) −4.45168 7.71053i −0.278230 0.481908i
\(257\) −19.0468 + 5.10358i −1.18811 + 0.318353i −0.798138 0.602475i \(-0.794181\pi\)
−0.389971 + 0.920827i \(0.627515\pi\)
\(258\) −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
\(261\) 11.9369 8.79573i 0.738879 0.544442i
\(262\) 0.641215 + 0.171813i 0.0396144 + 0.0106147i
\(263\) −5.35948 1.43607i −0.330480 0.0885517i 0.0897640 0.995963i \(-0.471389\pi\)
−0.420244 + 0.907411i \(0.638055\pi\)
\(264\) −0.0886842 1.59006i −0.00545813 0.0978617i
\(265\) 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
\(268\) 0.0897733 0.0240547i 0.00548378 0.00146937i
\(269\) −5.02321 8.70045i −0.306270 0.530476i 0.671273 0.741210i \(-0.265748\pi\)
−0.977543 + 0.210734i \(0.932414\pi\)
\(270\) −1.51879 3.25110i −0.0924304 0.197855i
\(271\) 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
\(273\) −1.46667 + 14.6430i −0.0887667 + 0.886233i
\(274\) 2.72309i 0.164508i
\(275\) −1.95930 3.27032i −0.118150 0.197208i
\(276\) 22.5264 + 11.3827i 1.35593 + 0.685158i
\(277\) −10.8617 2.91038i −0.652615 0.174868i −0.0827040 0.996574i \(-0.526356\pi\)
−0.569911 + 0.821707i \(0.693022\pi\)
\(278\) 0.828310 + 3.09130i 0.0496787 + 0.185404i
\(279\) 16.2954 + 7.12451i 0.975581 + 0.426533i
\(280\) 6.63540 2.62060i 0.396541 0.156611i
\(281\) 1.92831i 0.115033i 0.998345 + 0.0575167i \(0.0183183\pi\)
−0.998345 + 0.0575167i \(0.981682\pi\)
\(282\) −1.52893 + 1.70956i −0.0910466 + 0.101803i
\(283\) −6.82379 + 25.4667i −0.405632 + 1.51384i 0.397254 + 0.917709i \(0.369963\pi\)
−0.802887 + 0.596132i \(0.796704\pi\)
\(284\) −11.8250 20.4816i −0.701687 1.21536i
\(285\) 5.27709 3.51347i 0.312588 0.208120i
\(286\) −0.756201 −0.0447151
\(287\) 10.7620 4.15012i 0.635263 0.244974i
\(288\) −3.79926 9.70225i −0.223874 0.571710i
\(289\) −5.73548 3.31138i −0.337381 0.194787i
\(290\) −1.68265 + 2.96962i −0.0988084 + 0.174382i
\(291\) −4.12126 + 8.15598i −0.241592 + 0.478112i
\(292\) 0.684078 + 2.55301i 0.0400326 + 0.149404i
\(293\) −7.83332 + 7.83332i −0.457627 + 0.457627i −0.897876 0.440249i \(-0.854890\pi\)
0.440249 + 0.897876i \(0.354890\pi\)
\(294\) 0.945876 3.62301i 0.0551646 0.211298i
\(295\) 16.6449 + 4.31607i 0.969105 + 0.251291i
\(296\) 3.69315 + 2.13224i 0.214660 + 0.123934i
\(297\) −0.374436 + 3.94416i −0.0217270 + 0.228863i
\(298\) −1.39517 + 5.20686i −0.0808203 + 0.301625i
\(299\) 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
\(303\) −21.9248 + 24.5149i −1.25955 + 1.40835i
\(304\) 4.87205 2.81288i 0.279431 0.161330i
\(305\) −2.61960 9.46957i −0.149998 0.542226i
\(306\) 2.67128 + 3.62527i 0.152707 + 0.207243i
\(307\) −17.0769 + 17.0769i −0.974628 + 0.974628i −0.999686 0.0250576i \(-0.992023\pi\)
0.0250576 + 0.999686i \(0.492023\pi\)
\(308\) −3.79579 0.595226i −0.216285 0.0339161i
\(309\) −18.3083 + 11.9771i −1.04152 + 0.681354i
\(310\) −4.09381 + 0.0330988i −0.232513 + 0.00187989i
\(311\) −20.4797 + 11.8240i −1.16130 + 0.670475i −0.951615 0.307294i \(-0.900576\pi\)
−0.209683 + 0.977769i \(0.567243\pi\)
\(312\) −6.37215 + 2.09411i −0.360752 + 0.118556i
\(313\) 11.9578 3.20409i 0.675895 0.181106i 0.0954864 0.995431i \(-0.469559\pi\)
0.580409 + 0.814325i \(0.302893\pi\)
\(314\) −2.82168 −0.159237
\(315\) −17.2978 + 3.97309i −0.974622 + 0.223858i
\(316\) 8.06709 0.453809
\(317\) 4.24276 1.13684i 0.238297 0.0638515i −0.137694 0.990475i \(-0.543969\pi\)
0.375991 + 0.926623i \(0.377302\pi\)
\(318\) 3.53206 1.16076i 0.198068 0.0650920i
\(319\) 3.26361 1.88425i 0.182727 0.105498i
\(320\) −9.24601 9.09770i −0.516868 0.508577i
\(321\) 3.16074 2.06772i 0.176415 0.115409i
\(322\) −3.92671 + 4.86432i −0.218827 + 0.271078i
\(323\) −5.62568 + 5.62568i −0.313021 + 0.313021i
\(324\) 3.78871 + 16.7176i 0.210484 + 0.928758i
\(325\) −11.1688 + 11.5359i −0.619531 + 0.639898i
\(326\) −0.724106 + 0.418063i −0.0401045 + 0.0231543i
\(327\) −2.72462 + 3.04650i −0.150672 + 0.168472i
\(328\) 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 \(0.111998\pi\)
\(332\) −3.52300 + 13.1480i −0.193350 + 0.721591i
\(333\) −8.28946 6.62103i −0.454259 0.362830i
\(334\) −1.45833 0.841970i −0.0797965 0.0460705i
\(335\) 0.0940513 0.0553192i 0.00513857 0.00302241i
\(336\) −15.5433 + 2.53981i −0.847958 + 0.138558i
\(337\) 15.0501 15.0501i 0.819833 0.819833i −0.166250 0.986084i \(-0.553166\pi\)
0.986084 + 0.166250i \(0.0531659\pi\)
\(338\) −0.214800 0.801644i −0.0116836 0.0436037i
\(339\) −13.1887 + 26.1005i −0.716313 + 1.41759i
\(340\) 18.0093 + 10.2045i 0.976693 + 0.553414i
\(341\) 3.91452 + 2.26005i 0.211983 + 0.122389i
\(342\) 1.41220 0.552999i 0.0763632 0.0299027i
\(343\) −16.5402 8.33197i −0.893087 0.449884i
\(344\) −4.58812 −0.247375
\(345\) 29.0522 + 5.82865i 1.56412 + 0.313804i
\(346\) 0.204333 + 0.353916i 0.0109850 + 0.0190266i
\(347\) 4.98539 18.6057i 0.267630 0.998808i −0.692991 0.720946i \(-0.743708\pi\)
0.960621 0.277862i \(-0.0896258\pi\)
\(348\) 10.8693 12.1534i 0.582657 0.651491i
\(349\) 9.24369i 0.494803i 0.968913 + 0.247402i \(0.0795767\pi\)
−0.968913 + 0.247402i \(0.920423\pi\)
\(350\) 3.26223 2.45955i 0.174374 0.131469i
\(351\) 16.4541 2.77618i 0.878254 0.148182i
\(352\) −0.685404 2.55796i −0.0365321 0.136340i
\(353\) −11.4070 3.05649i −0.607132 0.162681i −0.0578609 0.998325i \(-0.518428\pi\)
−0.549271 + 0.835644i \(0.685095\pi\)
\(354\) 3.67145 + 1.85520i 0.195135 + 0.0986029i
\(355\) −19.7914 19.4740i −1.05042 1.03357i
\(356\) 1.72787i 0.0915769i
\(357\) 20.3027 9.15857i 1.07453 0.484723i
\(358\) −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 \(0.0465523\pi\)
\(360\) −4.85113 6.47336i −0.255677 0.341176i
\(361\) −8.16026 14.1340i −0.429487 0.743894i
\(362\) 5.57441 1.49366i 0.292985 0.0785050i
\(363\) 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
\(366\) −0.130889 2.34678i −0.00684170 0.122668i
\(367\) 14.5688 + 3.90370i 0.760485 + 0.203771i 0.618164 0.786049i \(-0.287877\pi\)
0.142321 + 0.989821i \(0.454543\pi\)
\(368\) 25.3982 + 6.80542i 1.32397 + 0.354757i
\(369\) −7.75844 10.5292i −0.403888 0.548129i
\(370\) 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
\(373\) 33.6495 9.01635i 1.74230 0.466849i 0.759347 0.650686i \(-0.225519\pi\)
0.982957 + 0.183837i \(0.0588519\pi\)
\(374\) 0.572249 + 0.991165i 0.0295903 + 0.0512519i
\(375\) −17.4904 8.31179i −0.903200 0.429219i
\(376\) −2.58517 + 4.47765i −0.133320 + 0.230917i
\(377\) −11.2233 11.2233i −0.578028 0.578028i
\(378\) −4.24552 + 0.0492653i −0.218366 + 0.00253393i
\(379\) 19.0602i 0.979056i −0.871988 0.489528i \(-0.837169\pi\)
0.871988 0.489528i \(-0.162831\pi\)
\(380\) 4.88949 4.96920i 0.250825 0.254914i
\(381\) −4.92842 + 9.75335i −0.252491 + 0.499680i
\(382\) −4.24828 1.13832i −0.217361 0.0582417i
\(383\) 2.62860 + 9.81007i 0.134315 + 0.501271i 1.00000 0.000681261i \(0.000216852\pi\)
−0.865685 + 0.500590i \(0.833116\pi\)
\(384\) −8.28544 12.6652i −0.422815 0.646318i
\(385\) −4.48136 + 0.514639i −0.228391 + 0.0262284i
\(386\) 2.10507i 0.107145i
\(387\) 11.2855 + 1.70987i 0.573672 + 0.0869174i
\(388\) −2.60076 + 9.70615i −0.132033 + 0.492755i
\(389\) 18.6290 + 32.2664i 0.944528 + 1.63597i 0.756693 + 0.653770i \(0.226814\pi\)
0.187835 + 0.982201i \(0.439853\pi\)
\(390\) −3.19732 + 2.12876i −0.161903 + 0.107794i
\(391\) −37.1850 −1.88053
\(392\) 0.415908 8.43099i 0.0210065 0.425829i
\(393\) −3.64421 0.761825i −0.183826 0.0384290i
\(394\) 2.89595 + 1.67198i 0.145896 + 0.0842331i
\(395\) 9.12812 2.52514i 0.459286 0.127054i
\(396\) 0.484465 + 4.32960i 0.0243453 + 0.217571i
\(397\) −2.30077 8.58658i −0.115472 0.430948i 0.883850 0.467771i \(-0.154943\pi\)
−0.999322 + 0.0368231i \(0.988276\pi\)
\(398\) 3.57708 3.57708i 0.179303 0.179303i
\(399\) −1.20968 7.40309i −0.0605597 0.370618i
\(400\) −15.0188 8.35029i −0.750941 0.417514i
\(401\) −4.02832 2.32575i −0.201165 0.116142i 0.396034 0.918236i \(-0.370386\pi\)
−0.597199 + 0.802093i \(0.703720\pi\)
\(402\) 0.0247979 0.00814945i 0.00123681 0.000406458i
\(403\) 4.92733 18.3890i 0.245448 0.916023i
\(404\) −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
\(408\) 7.56686 + 6.76738i 0.374615 + 0.335035i
\(409\) 23.0006 13.2794i 1.13731 0.656626i 0.191546 0.981484i \(-0.438650\pi\)
0.945763 + 0.324858i \(0.105317\pi\)
\(410\) 2.61941 + 1.48421i 0.129363 + 0.0732999i
\(411\) −0.850451 15.2482i −0.0419497 0.752137i
\(412\) −17.0114 + 17.0114i −0.838091 + 0.838091i
\(413\) 12.7798 15.8313i 0.628853 0.779009i
\(414\) 6.49486 + 2.83961i 0.319205 + 0.139559i
\(415\) 0.129200 + 15.9801i 0.00634219 + 0.784431i
\(416\) −9.65934 + 5.57682i −0.473588 + 0.273426i
\(417\) −5.60365 17.0513i −0.274412 0.835007i
\(418\) 0.372322 0.0997634i 0.0182109 0.00487959i
\(419\) −25.8278 −1.26177 −0.630885 0.775876i \(-0.717308\pi\)
−0.630885 + 0.775876i \(0.717308\pi\)
\(420\) −17.7247 + 8.16877i −0.864879 + 0.398595i
\(421\) 0.432430 0.0210753 0.0105377 0.999944i \(-0.496646\pi\)
0.0105377 + 0.999944i \(0.496646\pi\)
\(422\) −7.60783 + 2.03851i −0.370343 + 0.0992332i
\(423\) 8.02749 10.0503i 0.390310 0.488664i
\(424\) 7.25850 4.19070i 0.352504 0.203518i
\(425\) 23.5722 + 5.90935i 1.14342 + 0.286646i
\(426\) −3.63630 5.55847i −0.176179 0.269309i
\(427\) −11.4850 1.80099i −0.555799 0.0871558i
\(428\) 2.93684 2.93684i 0.141957 0.141957i
\(429\) 4.23442 0.236170i 0.204440 0.0114024i
\(430\) −2.53238 + 0.700541i −0.122122 + 0.0337831i
\(431\) 14.1264 8.15586i 0.680443 0.392854i −0.119579 0.992825i \(-0.538154\pi\)
0.800022 + 0.599971i \(0.204821\pi\)
\(432\) 7.42749 + 16.2403i 0.357355 + 0.781363i
\(433\) −0.514238 0.514238i −0.0247127 0.0247127i 0.694642 0.719355i \(-0.255563\pi\)
−0.719355 + 0.694642i \(0.755563\pi\)
\(434\) −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
\(437\) −3.24133 + 12.0968i −0.155054 + 0.578669i
\(438\) 0.231758 + 0.705214i 0.0110738 + 0.0336964i
\(439\) −13.2487 7.64917i −0.632328 0.365075i 0.149325 0.988788i \(-0.452290\pi\)
−0.781653 + 0.623713i \(0.785623\pi\)
\(440\) −1.04234 1.77214i −0.0496916 0.0844835i
\(441\) −4.16501 + 20.5828i −0.198334 + 0.980135i
\(442\) 3.40853 3.40853i 0.162127 0.162127i
\(443\) −2.36181 8.81439i −0.112213 0.418784i 0.886850 0.462057i \(-0.152888\pi\)
−0.999063 + 0.0432723i \(0.986222\pi\)
\(444\) −10.4123 5.26139i −0.494146 0.249695i
\(445\) 0.540854 + 1.95513i 0.0256390 + 0.0926820i
\(446\) −5.84564 3.37498i −0.276799 0.159810i
\(447\) 6.18625 29.5921i 0.292600 1.39966i
\(448\) −14.3201 + 5.52219i −0.676560 + 0.260899i
\(449\) −9.40891 −0.444034 −0.222017 0.975043i \(-0.571264\pi\)
−0.222017 + 0.975043i \(0.571264\pi\)
\(450\) −3.66593 2.83222i −0.172814 0.133512i
\(451\) −1.66204 2.87873i −0.0782622 0.135554i
\(452\) −8.32286 + 31.0613i −0.391474 + 1.46100i
\(453\) −19.6442 17.5687i −0.922966 0.825450i
\(454\) 3.96789i 0.186222i
\(455\) 6.97878 + 17.6704i 0.327170 + 0.828401i
\(456\) 2.86111 1.87171i 0.133984 0.0876509i
\(457\) −8.93665 33.3520i −0.418039 1.56014i −0.778670 0.627434i \(-0.784105\pi\)
0.360631 0.932708i \(-0.382561\pi\)
\(458\) 4.56443 + 1.22303i 0.213282 + 0.0571486i
\(459\) −16.0903 19.4658i −0.751031 0.908585i
\(460\) 32.5823 0.263431i 1.51916 0.0122825i
\(461\) 36.9326i 1.72012i 0.510192 + 0.860061i \(0.329574\pi\)
−0.510192 + 0.860061i \(0.670426\pi\)
\(462\) −1.07372 0.107546i −0.0499541 0.00500349i
\(463\) 26.3687 + 26.3687i 1.22546 + 1.22546i 0.965664 + 0.259794i \(0.0836548\pi\)
0.259794 + 0.965664i \(0.416345\pi\)
\(464\) 8.49325 14.7107i 0.394289 0.682929i
\(465\) 22.9134 1.46389i 1.06258 0.0678861i
\(466\) −1.05953 1.83516i −0.0490817 0.0850120i
\(467\) 9.85183 2.63979i 0.455888 0.122155i −0.0235650 0.999722i \(-0.507502\pi\)
0.479453 + 0.877567i \(0.340835\pi\)
\(468\) 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
\(471\) 15.8003 0.881244i 0.728039 0.0406056i
\(472\) 8.95734 + 2.40011i 0.412295 + 0.110474i
\(473\) 2.80215 + 0.750833i 0.128843 + 0.0345233i
\(474\) 2.26216 0.126170i 0.103905 0.00579517i
\(475\) 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
\(478\) 5.58092 1.49540i 0.255265 0.0683981i
\(479\) −6.85350 11.8706i −0.313144 0.542382i 0.665897 0.746044i \(-0.268049\pi\)
−0.979041 + 0.203662i \(0.934716\pi\)
\(480\) −10.0988 8.88594i −0.460947 0.405586i
\(481\) −5.67825 + 9.83503i −0.258906 + 0.448439i
\(482\) 0.430674 + 0.430674i 0.0196167 + 0.0196167i
\(483\) 20.4688 28.4646i 0.931362 1.29518i
\(484\) 19.8436i 0.901980i
\(485\) 0.0953785 + 11.7968i 0.00433091 + 0.535667i
\(486\) 1.32389 + 4.62869i 0.0600529 + 0.209961i
\(487\) 22.0811 + 5.91662i 1.00059 + 0.268108i 0.721693 0.692213i \(-0.243364\pi\)
0.278898 + 0.960321i \(0.410031\pi\)
\(488\) −1.37139 5.11811i −0.0620800 0.231686i
\(489\) 3.92413 2.56713i 0.177455 0.116090i
\(490\) −1.05774 4.71692i −0.0477836 0.213089i
\(491\) 23.7476i 1.07172i 0.844308 + 0.535858i \(0.180012\pi\)
−0.844308 + 0.535858i \(0.819988\pi\)
\(492\) −10.7201 9.58750i −0.483301 0.432238i
\(493\) −6.21740 + 23.2037i −0.280018 + 1.04504i
\(494\) −0.811730 1.40596i −0.0365215 0.0632570i
\(495\) 1.90343 + 4.74741i 0.0855527 + 0.213380i
\(496\) 20.3744 0.914836
\(497\) −30.6527 + 11.8205i −1.37496 + 0.530220i
\(498\) −0.782280 + 3.74205i −0.0350548 + 0.167685i
\(499\) 2.80187 + 1.61766i 0.125429 + 0.0724165i 0.561402 0.827543i \(-0.310262\pi\)
−0.435973 + 0.899960i \(0.643596\pi\)
\(500\) −20.6963 5.01091i −0.925568 0.224095i
\(501\) 8.42904 + 4.25924i 0.376582 + 0.190289i
\(502\) −1.43093 5.34029i −0.0638654 0.238349i
\(503\) 2.62851 2.62851i 0.117199 0.117199i −0.646075 0.763274i \(-0.723591\pi\)
0.763274 + 0.646075i \(0.223591\pi\)
\(504\) −9.34558 + 2.06716i −0.416285 + 0.0920788i
\(505\) −10.6573 + 41.1001i −0.474246 + 1.82893i
\(506\) 1.56021 + 0.900788i 0.0693598 + 0.0400449i
\(507\) 1.45316 + 4.42180i 0.0645369 + 0.196379i
\(508\) −3.11012 + 11.6071i −0.137989 + 0.514983i
\(509\) −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
\(513\) −7.73506 + 3.53762i −0.341511 + 0.156190i
\(514\) −5.27399 + 3.04494i −0.232626 + 0.134306i
\(515\) −13.9240 + 24.5737i −0.613563 + 1.08285i
\(516\) 12.5320 0.698960i 0.551691 0.0307700i
\(517\) 2.31162 2.31162i 0.101665 0.101665i
\(518\) 1.81503 2.24842i 0.0797478 0.0987899i
\(519\) −1.25472 1.91797i −0.0550759 0.0841895i
\(520\) −6.07331 + 6.17232i −0.266332 + 0.270674i
\(521\) 9.49156 5.47996i 0.415833 0.240081i −0.277460 0.960737i \(-0.589493\pi\)
0.693293 + 0.720656i \(0.256159\pi\)
\(522\) 2.85789 3.57804i 0.125086 0.156607i
\(523\) −13.2418 + 3.54814i −0.579026 + 0.155149i −0.536433 0.843943i \(-0.680229\pi\)
−0.0425929 + 0.999093i \(0.513562\pi\)
\(524\) −4.09392 −0.178844
\(525\) −17.4990 + 14.7913i −0.763721 + 0.645547i
\(526\) −1.71360 −0.0747163
\(527\) −27.8315 + 7.45743i −1.21236 + 0.324851i
\(528\) 1.41703 + 4.31189i 0.0616685 + 0.187651i
\(529\) −30.7730 + 17.7668i −1.33796 + 0.772469i
\(530\) 3.36642 3.42129i 0.146228 0.148612i
\(531\) −21.1381 9.24175i −0.917313 0.401058i
\(532\) −2.96786 7.69622i −0.128673 0.333674i
\(533\) −9.89970 + 9.89970i −0.428804 + 0.428804i
\(534\) 0.0270240 + 0.484527i 0.00116944 + 0.0209676i
\(535\) 2.40383 4.24239i 0.103926 0.183415i
\(536\) 0.0509605 0.0294221i 0.00220116 0.00127084i
\(537\) 0.312009 + 0.279044i 0.0134642 + 0.0120416i
\(538\) −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 \(0.215201\pi\)
\(542\) 0.450866 1.68265i 0.0193663 0.0722762i
\(543\) −30.7480 + 10.1048i −1.31952 + 0.433640i
\(544\) 14.6193 + 8.44044i 0.626796 + 0.361881i
\(545\) −1.32440 + 5.10756i −0.0567312 + 0.218784i
\(546\) 0.732928 + 4.48543i 0.0313664 + 0.191959i
\(547\) −19.7665 + 19.7665i −0.845154 + 0.845154i −0.989524 0.144370i \(-0.953885\pi\)
0.144370 + 0.989524i \(0.453885\pi\)
\(548\) −4.34647 16.2212i −0.185672 0.692937i
\(549\) 1.46586 + 13.1002i 0.0625612 + 0.559101i
\(550\) −0.845892 0.818969i −0.0360690 0.0349210i
\(551\) 7.00653 + 4.04522i 0.298488 + 0.172332i
\(552\) 15.6417 + 3.26991i 0.665753 + 0.139176i
\(553\) 1.73605 11.0709i 0.0738242 0.470782i
\(554\) −3.47282 −0.147546
\(555\) −13.4287 2.69416i −0.570017 0.114361i
\(556\) −9.86837 17.0925i −0.418512 0.724884i
\(557\) 11.3316 42.2902i 0.480137 1.79189i −0.120891 0.992666i \(-0.538575\pi\)
0.601028 0.799228i \(-0.294758\pi\)
\(558\) 5.43063 + 0.822798i 0.229897 + 0.0348318i
\(559\) 12.2184i 0.516783i
\(560\) −16.3336 + 12.1088i −0.690220 + 0.511690i
\(561\) −3.51392 5.37140i −0.148358 0.226781i
\(562\) 0.154136 + 0.575242i 0.00650182 + 0.0242651i
\(563\) 10.7151 + 2.87110i 0.451587 + 0.121002i 0.477442 0.878663i \(-0.341564\pi\)
−0.0258549 + 0.999666i \(0.508231\pi\)
\(564\) 6.37903 12.6241i 0.268606 0.531571i
\(565\) 0.305227 + 37.7519i 0.0128410 + 1.58823i
\(566\) 8.14252i 0.342256i
\(567\) 23.7578 1.60179i 0.997735 0.0672689i
\(568\) −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 \(0.0732121\pi\)
\(570\) 1.29339 1.46993i 0.0541740 0.0615685i
\(571\) 6.56260 + 11.3668i 0.274636 + 0.475684i 0.970043 0.242932i \(-0.0781092\pi\)
−0.695407 + 0.718616i \(0.744776\pi\)
\(572\) 4.50464 1.20701i 0.188348 0.0504678i
\(573\) 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
\(576\) 10.3235 + 14.0103i 0.430144 + 0.583762i
\(577\) 14.7331 + 3.94772i 0.613347 + 0.164346i 0.552101 0.833777i \(-0.313826\pi\)
0.0612453 + 0.998123i \(0.480493\pi\)
\(578\) −1.97566 0.529377i −0.0821767 0.0220192i
\(579\) 0.657437 + 11.7875i 0.0273221 + 0.489873i
\(580\) 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
\(583\) −5.11885 + 1.37159i −0.212001 + 0.0568055i
\(584\) 0.836718 + 1.44924i 0.0346236 + 0.0599699i
\(585\) 17.2389 12.9188i 0.712740 0.534126i
\(586\) −1.71065 + 2.96293i −0.0706662 + 0.122397i
\(587\) 5.54217 + 5.54217i 0.228750 + 0.228750i 0.812170 0.583421i \(-0.198286\pi\)
−0.583421 + 0.812170i \(0.698286\pi\)
\(588\) 0.148375 + 23.0918i 0.00611888 + 0.952290i
\(589\) 9.70404i 0.399848i
\(590\) 5.31040 0.0429351i 0.218626 0.00176761i
\(591\) −16.7384 8.45798i −0.688524 0.347915i
\(592\) −11.7397 3.14565i −0.482499 0.129285i
\(593\) −2.24492 8.37814i −0.0921877 0.344049i 0.904390 0.426706i \(-0.140326\pi\)
−0.996578 + 0.0826570i \(0.973659\pi\)
\(594\) 0.203568 + 1.20653i 0.00835252 + 0.0495043i
\(595\) 17.8797 22.5191i 0.732998 0.923195i
\(596\) 33.2438i 1.36172i
\(597\) −18.9130 + 21.1473i −0.774058 + 0.865503i
\(598\) 1.96388 7.32931i 0.0803091 0.299718i
\(599\) 7.93869 + 13.7502i 0.324366 + 0.561819i 0.981384 0.192056i \(-0.0615157\pi\)
−0.657018 + 0.753875i \(0.728182\pi\)
\(600\) −9.39587 4.55859i −0.383585 0.186103i
\(601\) 41.5249 1.69384 0.846919 0.531722i \(-0.178455\pi\)
0.846919 + 0.531722i \(0.178455\pi\)
\(602\) −0.481625 + 3.07135i −0.0196296 + 0.125179i
\(603\) −0.136313 + 0.0533783i −0.00555110 + 0.00217373i
\(604\) −25.0976 14.4901i −1.02120 0.589593i
\(605\) −6.21139 22.4535i −0.252529 0.912864i
\(606\) −4.58092 + 9.06565i −0.186087 + 0.368267i
\(607\) −3.95710 14.7681i −0.160614 0.599418i −0.998559 0.0536641i \(-0.982910\pi\)
0.837945 0.545754i \(-0.183757\pi\)
\(608\) 4.02013 4.02013i 0.163038 0.163038i
\(609\) −14.3397 17.5320i −0.581072 0.710432i
\(610\) −1.53839 2.61551i −0.0622877 0.105899i
\(611\) −11.9242 6.88444i −0.482402 0.278515i
\(612\) −21.6991 17.3317i −0.877135 0.700593i
\(613\) 7.98165 29.7879i 0.322376 1.20312i −0.594548 0.804060i \(-0.702669\pi\)
0.916924 0.399063i \(-0.130664\pi\)
\(614\) −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 0.921110 0.389302i \(-0.127284\pi\)
−0.389302 + 0.921110i \(0.627284\pi\)
\(618\) −4.50426 + 5.03637i −0.181188 + 0.202593i
\(619\) 14.7495 8.51561i 0.592831 0.342271i −0.173385 0.984854i \(-0.555471\pi\)
0.766216 + 0.642583i \(0.222137\pi\)
\(620\) 24.3337 6.73153i 0.977266 0.270345i
\(621\) −37.2554 13.8723i −1.49501 0.556675i
\(622\) −5.16425 + 5.16425i −0.207068 + 0.207068i
\(623\) 2.37125 + 0.371840i 0.0950020 + 0.0148974i
\(624\) 15.9973 10.4652i 0.640403 0.418945i
\(625\) −24.9869 + 0.808350i −0.999477 + 0.0323340i
\(626\) 3.31107 1.91165i 0.132337 0.0764047i
\(627\) −2.05370 + 0.674915i −0.0820167 + 0.0269535i
\(628\) 16.8086 4.50384i 0.670735 0.179723i
\(629\) 17.1879 0.685327
\(630\) −4.84260 + 2.56789i −0.192934 + 0.102307i
\(631\) 6.51082 0.259191 0.129596 0.991567i \(-0.458632\pi\)
0.129596 + 0.991567i \(0.458632\pi\)
\(632\) 4.93356 1.32194i 0.196247 0.0525841i
\(633\) 41.9641 13.7909i 1.66792 0.548138i
\(634\) 1.17480 0.678272i 0.0466573 0.0269376i
\(635\) 0.114059 + 14.1073i 0.00452628 + 0.559831i
\(636\) −19.1875 + 12.5523i −0.760834 + 0.497730i
\(637\) 22.4521 + 1.10758i 0.889586 + 0.0438840i
\(638\) 0.822967 0.822967i 0.0325816 0.0325816i
\(639\) 22.0978 + 29.9896i 0.874174 + 1.18637i
\(640\) −16.9994 9.63221i −0.671961 0.380746i
\(641\) −36.6801 + 21.1773i −1.44878 + 0.836451i −0.998409 0.0563924i \(-0.982040\pi\)
−0.450367 + 0.892843i \(0.648707\pi\)
\(642\) 0.777613 0.869478i 0.0306899 0.0343155i
\(643\) 11.2098 + 11.2098i 0.442072 + 0.442072i 0.892708 0.450636i \(-0.148803\pi\)
−0.450636 + 0.892708i \(0.648803\pi\)
\(644\) 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
\(647\) 6.15237 22.9610i 0.241875 0.902689i −0.733054 0.680171i \(-0.761906\pi\)
0.974929 0.222518i \(-0.0714276\pi\)
\(648\) 5.05655 + 9.60309i 0.198640 + 0.377245i
\(649\) −5.07783 2.93169i −0.199322 0.115079i
\(650\) −2.40969 + 4.33408i −0.0945160 + 0.169996i
\(651\) 9.61153 25.4096i 0.376705 0.995882i
\(652\) 3.64616 3.64616i 0.142794 0.142794i
\(653\) −5.64046 21.0505i −0.220728 0.823769i −0.984071 0.177775i \(-0.943110\pi\)
0.763343 0.645994i \(-0.223557\pi\)
\(654\) −0.569277 + 1.12660i −0.0222605 + 0.0440535i
\(655\) −4.63237 + 1.28147i −0.181002 + 0.0500712i
\(656\) −12.9759 7.49163i −0.506623 0.292499i
\(657\) −1.51800 3.87653i −0.0592227 0.151238i
\(658\) 2.72604 + 2.20058i 0.106272 + 0.0857876i
\(659\) −42.6184 −1.66018 −0.830088 0.557632i \(-0.811710\pi\)
−0.830088 + 0.557632i \(0.811710\pi\)
\(660\) 3.11702 + 4.68164i 0.121330 + 0.182233i
\(661\) −22.7467 39.3985i −0.884744 1.53242i −0.846006 0.533173i \(-0.821000\pi\)
−0.0387381 0.999249i \(-0.512334\pi\)
\(662\) 0.497076 1.85511i 0.0193194 0.0721010i
\(663\) −18.0219 + 20.1509i −0.699911 + 0.782597i
\(664\) 8.61819i 0.334451i
\(665\) −5.76727 7.77948i −0.223645 0.301675i
\(666\) −3.00210 1.31254i −0.116329 0.0508601i
\(667\) 9.78693 + 36.5253i 0.378951 + 1.41427i
\(668\) 10.0311 + 2.68783i 0.388115 + 0.103995i
\(669\) 33.7873 + 17.0729i 1.30629 + 0.660075i
\(670\) 0.0236350 0.0240203i 0.000913098 0.000927984i
\(671\) 3.35026i 0.129335i
\(672\) −14.5083 + 6.54474i −0.559671 + 0.252469i
\(673\) −32.1249 32.1249i −1.23832 1.23832i −0.960686 0.277636i \(-0.910449\pi\)
−0.277636 0.960686i \(-0.589551\pi\)
\(674\) 3.28666 5.69266i 0.126597 0.219273i
\(675\) 21.4123 + 14.7144i 0.824160 + 0.566358i
\(676\) 2.55910 + 4.43248i 0.0984268 + 0.170480i
\(677\) 41.1280 11.0202i 1.58068 0.423542i 0.641543 0.767087i \(-0.278295\pi\)
0.939136 + 0.343545i \(0.111628\pi\)
\(678\) −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
\(681\) 1.23922 + 22.2186i 0.0474870 + 0.851419i
\(682\) 1.34841 + 0.361305i 0.0516332 + 0.0138351i
\(683\) 2.25177 + 0.603360i 0.0861617 + 0.0230869i 0.301642 0.953421i \(-0.402465\pi\)
−0.215481 + 0.976508i \(0.569132\pi\)
\(684\) −7.52972 + 5.54827i −0.287906 + 0.212143i
\(685\) −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
\(688\) 12.6307 3.38438i 0.481540 0.129028i
\(689\) 11.1600 + 19.3297i 0.425163 + 0.736404i
\(690\) 9.13257 0.583460i 0.347671 0.0222120i
\(691\) 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
\(693\) 6.04600 + 0.266878i 0.229669 + 0.0101379i
\(694\) 5.94884i 0.225815i
\(695\) −16.5166 16.2517i −0.626510 0.616460i
\(696\) 4.65576 9.21376i 0.176476 0.349247i
\(697\) 20.4672 + 5.48418i 0.775252 + 0.207728i
\(698\) 0.738875 + 2.75752i 0.0279668 + 0.104374i
\(699\) 6.50607 + 9.94523i 0.246082 + 0.376163i
\(700\) −15.5071 + 19.8584i −0.586112 + 0.750578i
\(701\) 26.5973i 1.00457i −0.864703 0.502284i \(-0.832493\pi\)
0.864703 0.502284i \(-0.167507\pi\)
\(702\) 4.68657 2.14340i 0.176883 0.0808973i
\(703\) 1.49823 5.59148i 0.0565069 0.210886i
\(704\) 2.21152 + 3.83047i 0.0833500 + 0.144366i
\(705\) 3.26646 16.2813i 0.123022 0.613188i
\(706\) −3.64717 −0.137263
\(707\) 39.0912 + 31.5562i 1.47017 + 1.18679i
\(708\) −24.8318 5.19111i −0.933235 0.195094i
\(709\) 13.7850 + 7.95880i 0.517708 + 0.298899i 0.735997 0.676985i \(-0.236714\pi\)
−0.218288 + 0.975884i \(0.570047\pi\)
\(710\) −7.46067 4.22736i −0.279994 0.158650i
\(711\) −12.6278 + 1.41300i −0.473580 + 0.0529917i
\(712\) 0.283144 + 1.05671i 0.0106113 + 0.0396018i
\(713\) −32.0712 + 32.0712i −1.20108 + 1.20108i
\(714\) 5.32449 4.35498i 0.199264 0.162981i
\(715\) 4.71930 2.77580i 0.176492 0.103809i
\(716\) 0.398625 + 0.230146i 0.0148973 + 0.00860096i
\(717\) −30.7839 + 10.1166i −1.14964 + 0.377813i
\(718\) 1.11607 4.16523i 0.0416514 0.155445i
\(719\) 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
\(723\) −2.54611 2.27710i −0.0946907 0.0846862i
\(724\) −30.8223 + 17.7952i −1.14550 + 0.661355i
\(725\) −0.399580 24.7093i −0.0148400 0.917681i
\(726\) −0.310355 5.56451i −0.0115183 0.206518i
\(727\) 7.43836 7.43836i 0.275873 0.275873i −0.555586 0.831459i \(-0.687506\pi\)
0.831459 + 0.555586i \(0.187506\pi\)
\(728\) 3.68643 + 9.55960i 0.136628 + 0.354302i
\(729\) −8.85885 25.5053i −0.328106 0.944641i
\(730\) 0.683099 + 0.672141i 0.0252826 + 0.0248771i
\(731\) −16.0148 + 9.24617i −0.592330 + 0.341982i
\(732\) 4.52553 + 13.7707i 0.167268 + 0.508980i
\(733\) −35.2708 + 9.45077i −1.30276 + 0.349072i −0.842491 0.538710i \(-0.818912\pi\)
−0.460264 + 0.887782i \(0.652245\pi\)
\(734\) 4.65810 0.171934
\(735\) 7.39604 + 26.0825i 0.272807 + 0.962069i
\(736\) 26.5725 0.979475
\(737\) −0.0359385 + 0.00962968i −0.00132381 + 0.000354714i
\(738\) −3.15608 2.52085i −0.116177 0.0927939i
\(739\) −33.2198 + 19.1794i −1.22201 + 0.705527i −0.965346 0.260974i \(-0.915956\pi\)
−0.256663 + 0.966501i \(0.582623\pi\)
\(740\) −15.0604 + 0.121765i −0.553632 + 0.00447616i
\(741\) 4.98446 + 7.61928i 0.183109 + 0.279901i
\(742\) −2.04337 5.29885i −0.0750146 0.194527i
\(743\) −30.8182 + 30.8182i −1.13061 + 1.13061i −0.140534 + 0.990076i \(0.544882\pi\)
−0.990076 + 0.140534i \(0.955118\pi\)
\(744\) 12.3630 0.689531i 0.453248 0.0252794i
\(745\) −10.4059 37.6163i −0.381243 1.37815i
\(746\) 9.31740 5.37940i 0.341134 0.196954i
\(747\) 3.21177 21.1983i 0.117512 0.775605i
\(748\) −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 \(0.907368\pi\)
\(752\) 3.81385 14.2335i 0.139077 0.519042i
\(753\) 9.68045 + 29.4566i 0.352775 + 1.07346i
\(754\) −4.24517 2.45095i −0.154600 0.0892583i
\(755\) −32.9342 8.53991i −1.19860 0.310799i
\(756\) 25.2116 7.06998i 0.916939 0.257133i
\(757\) 0.798673 0.798673i 0.0290283 0.0290283i −0.692444 0.721472i \(-0.743466\pi\)
0.721472 + 0.692444i \(0.243466\pi\)
\(758\) −1.52354 5.68591i −0.0553373 0.206522i
\(759\) −9.01787 4.55678i −0.327328 0.165401i
\(760\) 2.17595 3.84023i 0.0789301 0.139300i
\(761\) −37.3941