Properties

Label 105.2.x.a.2.7
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 2.7
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0799329 + 0.298314i) q^{2} +(0.540759 + 1.64547i) q^{3} +(1.64945 - 0.952310i) q^{4} +(0.596180 - 2.15513i) q^{5} +(-0.447643 + 0.292843i) q^{6} +(-2.46856 + 0.951942i) q^{7} +(0.852694 + 0.852694i) q^{8} +(-2.41516 + 1.77961i) q^{9} +O(q^{10})\) \(q+(0.0799329 + 0.298314i) q^{2} +(0.540759 + 1.64547i) 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} +(-2.41516 + 1.77961i) q^{9} +(0.690558 + 0.00558322i) q^{10} +(0.660315 - 0.381233i) q^{11} +(2.45895 + 2.19915i) q^{12} +(-2.27077 + 2.27077i) q^{13} +(-0.481297 - 0.660315i) q^{14} +(3.86859 - 0.184406i) q^{15} +(1.71841 - 2.97637i) q^{16} +(-4.69471 - 1.25794i) q^{17} +(-0.723932 - 0.578226i) 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} +(7.39003 - 1.98015i) q^{23} +(-0.941983 + 1.86419i) q^{24} +(-4.28914 - 2.56969i) q^{25} +(-0.858909 - 0.495891i) q^{26} +(-4.23432 - 3.01174i) q^{27} +(-3.16523 + 3.92102i) q^{28} -4.94251 q^{29} +(0.364238 + 1.13931i) q^{30} +(2.96413 + 5.13403i) q^{31} +(3.35485 + 0.898930i) q^{32} +(0.984380 + 0.880375i) 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} +(-4.96442 - 2.50855i) q^{39} +(2.34602 - 1.32930i) q^{40} -4.35963i q^{41} +(0.826265 - 1.14903i) q^{42} +(2.69037 - 2.69037i) q^{43} +(0.726104 - 1.25765i) q^{44} +(2.39541 + 6.26594i) q^{45} +(1.18141 + 2.04627i) q^{46} +(1.10971 + 4.14148i) q^{47} +(5.82678 + 1.21809i) q^{48} +(5.18761 - 4.69986i) q^{49} +(0.423730 - 1.48491i) q^{50} +(-0.468795 - 8.40527i) q^{51} +(-1.58304 + 5.90798i) q^{52} +(-1.79889 + 6.71354i) q^{53} +(0.559982 - 1.50389i) q^{54} +(-0.427939 - 1.65035i) q^{55} +(-2.91664 - 1.29321i) q^{56} +(0.580162 - 2.77522i) q^{57} +(-0.395069 - 1.47442i) q^{58} +(3.84501 + 6.65975i) q^{59} +(6.20543 - 3.98826i) q^{60} +(-2.19699 + 3.80529i) q^{61} +(-1.29462 + 1.29462i) q^{62} +(4.26789 - 6.69217i) q^{63} -5.80098i q^{64} +(3.54000 + 6.24757i) q^{65} +(-0.183944 + 0.364025i) 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} +(-3.57685 - 0.541931i) q^{72} +(-1.34043 - 0.359168i) q^{73} +(0.546081 + 0.945840i) q^{74} +(1.90896 - 8.44724i) q^{75} -3.11769 q^{76} +(-1.26712 + 1.56968i) q^{77} +(0.351513 - 1.68147i) q^{78} +(3.66808 + 2.11777i) q^{79} +(-5.38997 - 5.47784i) q^{80} +(2.66599 - 8.59607i) q^{81} +(1.30054 - 0.348478i) 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} +(-2.67271 - 8.13276i) q^{87} +(0.888122 + 0.237971i) q^{88} +(-0.453600 + 0.785658i) q^{89} +(-1.67774 + 1.21544i) q^{90} +(3.44389 - 7.76716i) q^{91} +(10.3038 - 10.3038i) q^{92} +(-6.84502 + 7.65367i) q^{93} +(-1.14676 + 0.662081i) q^{94} +(-2.60902 + 2.56717i) q^{95} +(0.335002 + 6.00642i) 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 0.988411 0.151802i \(-0.0485075\pi\)
−0.931890 + 0.362741i \(0.881841\pi\)
\(3\) 0.540759 + 1.64547i 0.312207 + 0.950014i
\(4\) 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
\(9\) −2.41516 + 1.77961i −0.805053 + 0.593203i
\(10\) 0.690558 + 0.00558322i 0.218374 + 0.00176557i
\(11\) 0.660315 0.381233i 0.199092 0.114946i −0.397140 0.917758i \(-0.629997\pi\)
0.596232 + 0.802812i \(0.296664\pi\)
\(12\) 2.45895 + 2.19915i 0.709839 + 0.634841i
\(13\) −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
\(15\) 3.86859 0.184406i 0.998866 0.0476133i
\(16\) 1.71841 2.97637i 0.429602 0.744092i
\(17\) −4.69471 1.25794i −1.13864 0.305096i −0.360233 0.932862i \(-0.617303\pi\)
−0.778402 + 0.627766i \(0.783970\pi\)
\(18\) −0.723932 0.578226i −0.170632 0.136289i
\(19\) −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
\(21\) −2.90129 3.54718i −0.633114 0.774059i
\(22\) 0.166508 + 0.166508i 0.0354996 + 0.0354996i
\(23\) 7.39003 1.98015i 1.54093 0.412890i 0.614363 0.789024i \(-0.289413\pi\)
0.926566 + 0.376133i \(0.122747\pi\)
\(24\) −0.941983 + 1.86419i −0.192281 + 0.380525i
\(25\) −4.28914 2.56969i −0.857828 0.513937i
\(26\) −0.858909 0.495891i −0.168446 0.0972523i
\(27\) −4.23432 3.01174i −0.814894 0.579610i
\(28\) −3.16523 + 3.92102i −0.598172 + 0.741003i
\(29\) −4.94251 −0.917801 −0.458900 0.888488i \(-0.651757\pi\)
−0.458900 + 0.888488i \(0.651757\pi\)
\(30\) 0.364238 + 1.13931i 0.0665005 + 0.208009i
\(31\) 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
\(33\) 0.984380 + 0.880375i 0.171358 + 0.153254i
\(34\) 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
\(39\) −4.96442 2.50855i −0.794943 0.401689i
\(40\) 2.34602 1.32930i 0.370939 0.210181i
\(41\) 4.35963i 0.680860i −0.940270 0.340430i \(-0.889427\pi\)
0.940270 0.340430i \(-0.110573\pi\)
\(42\) 0.826265 1.14903i 0.127495 0.177299i
\(43\) 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
\(45\) 2.39541 + 6.26594i 0.357087 + 0.934071i
\(46\) 1.18141 + 2.04627i 0.174190 + 0.301706i
\(47\) 1.10971 + 4.14148i 0.161867 + 0.604097i 0.998419 + 0.0562089i \(0.0179013\pi\)
−0.836552 + 0.547888i \(0.815432\pi\)
\(48\) 5.82678 + 1.21809i 0.841023 + 0.175817i
\(49\) 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
\(52\) −1.58304 + 5.90798i −0.219528 + 0.819290i
\(53\) −1.79889 + 6.71354i −0.247096 + 0.922176i 0.725222 + 0.688515i \(0.241737\pi\)
−0.972318 + 0.233661i \(0.924929\pi\)
\(54\) 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
\(57\) 0.580162 2.77522i 0.0768444 0.367587i
\(58\) −0.395069 1.47442i −0.0518751 0.193601i
\(59\) 3.84501 + 6.65975i 0.500577 + 0.867026i 1.00000 0.000666931i \(0.000212291\pi\)
−0.499422 + 0.866359i \(0.666454\pi\)
\(60\) 6.20543 3.98826i 0.801118 0.514883i
\(61\) −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
\(63\) 4.26789 6.69217i 0.537704 0.843134i
\(64\) 5.80098i 0.725122i
\(65\) 3.54000 + 6.24757i 0.439083 + 0.774916i
\(66\) −0.183944 + 0.364025i −0.0226419 + 0.0448084i
\(67\) 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 \(0.263676\pi\)
−0.676082 + 0.736826i \(0.736324\pi\)
\(72\) −3.57685 0.541931i −0.421536 0.0638672i
\(73\) −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
\(75\) 1.90896 8.44724i 0.220428 0.975403i
\(76\) −3.11769 −0.357624
\(77\) −1.26712 + 1.56968i −0.144401 + 0.178882i
\(78\) 0.351513 1.68147i 0.0398010 0.190389i
\(79\) 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
\(81\) 2.66599 8.59607i 0.296221 0.955119i
\(82\) 1.30054 0.348478i 0.143620 0.0384830i
\(83\) −5.05351 5.05351i −0.554695 0.554695i 0.373097 0.927792i \(-0.378296\pi\)
−0.927792 + 0.373097i \(0.878296\pi\)
\(84\) −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
\(87\) −2.67271 8.13276i −0.286544 0.871924i
\(88\) 0.888122 + 0.237971i 0.0946741 + 0.0253678i
\(89\) −0.453600 + 0.785658i −0.0480815 + 0.0832796i −0.889065 0.457782i \(-0.848644\pi\)
0.840983 + 0.541061i \(0.181977\pi\)
\(90\) −1.67774 + 1.21544i −0.176850 + 0.128118i
\(91\) 3.44389 7.76716i 0.361018 0.814220i
\(92\) 10.3038 10.3038i 1.07424 1.07424i
\(93\) −6.84502 + 7.65367i −0.709796 + 0.793649i
\(94\) −1.14676 + 0.662081i −0.118279 + 0.0682884i
\(95\) −2.60902 + 2.56717i −0.267680 + 0.263386i
\(96\) 0.335002 + 6.00642i 0.0341910 + 0.613028i
\(97\) 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 \(-0.273012\pi\)
0.982098 0.188373i \(-0.0603214\pi\)
\(102\) 2.46993 0.811705i 0.244560 0.0803708i
\(103\) −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
\(105\) −9.37432 + 4.13789i −0.914840 + 0.403817i
\(106\) −2.14653 −0.208490
\(107\) −0.564395 2.10635i −0.0545621 0.203629i 0.933264 0.359192i \(-0.116948\pi\)
−0.987826 + 0.155563i \(0.950281\pi\)
\(108\) −9.85240 0.935331i −0.948047 0.0900023i
\(109\) −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 \(-0.957920\pi\)
−0.131814 0.991274i \(-0.542080\pi\)
\(114\) 0.874260 0.0487609i 0.0818819 0.00456688i
\(115\) 0.138311 17.1070i 0.0128976 1.59523i
\(116\) −8.15242 + 4.70680i −0.756933 + 0.437015i
\(117\) 1.44319 9.52533i 0.133423 0.880617i
\(118\) −1.67935 + 1.67935i −0.154597 + 0.154597i
\(119\) 12.7867 1.36378i 1.17215 0.125017i
\(120\) 3.45597 + 3.14148i 0.315485 + 0.286777i
\(121\) −5.20932 + 9.02281i −0.473575 + 0.820256i
\(122\) −1.31078 0.351223i −0.118673 0.0317983i
\(123\) 7.17366 2.35751i 0.646827 0.212570i
\(124\) 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 0.876775 0.480901i \(-0.159691\pi\)
−0.480901 + 0.876775i \(0.659691\pi\)
\(128\) 8.44022 2.26155i 0.746017 0.199895i
\(129\) 5.88177 + 2.97209i 0.517861 + 0.261678i
\(130\) −1.58077 + 1.55542i −0.138643 + 0.136419i
\(131\) 1.86149 + 1.07473i 0.162639 + 0.0938999i 0.579111 0.815249i \(-0.303400\pi\)
−0.416471 + 0.909149i \(0.636733\pi\)
\(132\) 2.46207 + 0.514699i 0.214296 + 0.0447988i
\(133\) 4.27857 + 0.670931i 0.370999 + 0.0581771i
\(134\) 0.0150704 0.00130188
\(135\) −9.01509 + 7.32994i −0.775896 + 0.630861i
\(136\) −2.93051 5.07580i −0.251289 0.435246i
\(137\) −8.51678 2.28207i −0.727638 0.194970i −0.124061 0.992275i \(-0.539592\pi\)
−0.603577 + 0.797305i \(0.706258\pi\)
\(138\) −2.72822 + 3.05052i −0.232241 + 0.259678i
\(139\) 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
\(144\) 1.14654 + 10.2465i 0.0955452 + 0.853875i
\(145\) −2.94663 + 10.6517i −0.244704 + 0.884578i
\(146\) 0.428578i 0.0354694i
\(147\) 10.5387 + 5.99459i 0.869220 + 0.494425i
\(148\) 4.76267 4.76267i 0.391489 0.391489i
\(149\) 8.72716 15.1159i 0.714957 1.23834i −0.248019 0.968755i \(-0.579780\pi\)
0.962976 0.269586i \(-0.0868870\pi\)
\(150\) 2.67252 0.105744i 0.218210 0.00863393i
\(151\) 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
\(153\) 13.5771 5.31661i 1.09765 0.429823i
\(154\) −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
\(157\) 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
\(159\) −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
\(162\) 2.77743 + 0.108192i 0.218215 + 0.00850040i
\(163\) 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
\(165\) 2.48419 1.59660i 0.193394 0.124295i
\(166\) 1.10359 1.91147i 0.0856551 0.148359i
\(167\) 3.85551 3.85551i 0.298348 0.298348i −0.542018 0.840367i \(-0.682340\pi\)
0.840367 + 0.542018i \(0.182340\pi\)
\(168\) 0.550747 5.49857i 0.0424911 0.424224i
\(169\) 2.68725i 0.206712i
\(170\) −3.23495 0.894896i −0.248109 0.0686354i
\(171\) 4.88027 0.546083i 0.373204 0.0417600i
\(172\) 1.87556 6.99969i 0.143010 0.533721i
\(173\) 1.27815 0.342481i 0.0971763 0.0260383i −0.209903 0.977722i \(-0.567315\pi\)
0.307080 + 0.951684i \(0.400648\pi\)
\(174\) 2.21248 1.44738i 0.167727 0.109726i
\(175\) 13.0342 + 2.26043i 0.985293 + 0.170872i
\(176\) 2.62045i 0.197524i
\(177\) −8.87921 + 9.92818i −0.667403 + 0.746247i
\(178\) −0.270630 0.0725151i −0.0202846 0.00543524i
\(179\) 0.120836 + 0.209294i 0.00903168 + 0.0156433i 0.870506 0.492158i \(-0.163792\pi\)
−0.861474 + 0.507801i \(0.830458\pi\)
\(180\) 9.91822 + 8.05418i 0.739261 + 0.600323i
\(181\) 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
\(183\) −7.44955 1.55734i −0.550686 0.115122i
\(184\) 7.98990 + 4.61297i 0.589023 + 0.340073i
\(185\) 0.0639312 7.90730i 0.00470032 0.581357i
\(186\) −2.83034 1.43018i −0.207530 0.104866i
\(187\) −3.57956 + 0.959140i −0.261763 + 0.0701393i
\(188\) 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 \(0.838957\pi\)
\(192\) 9.54535 3.13693i 0.688876 0.226388i
\(193\) −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
\(195\) −8.36592 + 9.20340i −0.599096 + 0.659069i
\(196\) 4.08099 12.6924i 0.291499 0.906599i
\(197\) −7.65626 + 7.65626i −0.545486 + 0.545486i −0.925132 0.379646i \(-0.876046\pi\)
0.379646 + 0.925132i \(0.376046\pi\)
\(198\) −0.698462 0.105824i −0.0496375 0.00752061i
\(199\) −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
\(201\) 0.0843881 0.00470666i 0.00595228 0.000331982i
\(202\) 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
\(207\) −14.3242 + 17.9337i −0.995601 + 1.24648i
\(208\) 2.85654 + 10.6607i 0.198065 + 0.739189i
\(209\) −1.24809 −0.0863321
\(210\) −1.98371 2.46573i −0.136889 0.170152i
\(211\) −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
\(213\) −20.4322 + 6.71472i −1.39999 + 0.460085i
\(214\) 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
\(219\) −0.133850 2.39987i −0.00904475 0.162168i
\(220\) −2.27750 2.31463i −0.153549 0.156052i
\(221\) 13.5171 7.80410i 0.909258 0.524960i
\(222\) −1.26106 + 1.41003i −0.0846365 + 0.0946352i
\(223\) −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
\(225\) 14.9320 1.42678i 0.995466 0.0951186i
\(226\) 2.60716 4.51573i 0.173426 0.300382i
\(227\) 12.4101 + 3.32527i 0.823686 + 0.220706i 0.645957 0.763374i \(-0.276458\pi\)
0.177728 + 0.984080i \(0.443125\pi\)
\(228\) −1.68592 5.13008i −0.111653 0.339748i
\(229\) −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
\(231\) −3.26807 1.23619i −0.215023 0.0813353i
\(232\) −4.21445 4.21445i −0.276692 0.276692i
\(233\) −6.62761 + 1.77586i −0.434189 + 0.116341i −0.469292 0.883043i \(-0.655491\pi\)
0.0351029 + 0.999384i \(0.488824\pi\)
\(234\) 2.95690 0.330865i 0.193298 0.0216293i
\(235\) 9.58699 + 0.0775117i 0.625387 + 0.00505630i
\(236\) 12.6843 + 7.32328i 0.825677 + 0.476705i
\(237\) −1.50118 + 7.18093i −0.0975122 + 0.466452i
\(238\) 1.42891 + 3.70543i 0.0926225 + 0.240188i
\(239\) −18.7082 −1.21013 −0.605067 0.796174i \(-0.706854\pi\)
−0.605067 + 0.796174i \(0.706854\pi\)
\(240\) 6.09896 11.8312i 0.393686 0.763703i
\(241\) 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
\(243\) 15.5863 0.261589i 0.999859 0.0167810i
\(244\) 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
\(249\) 5.58268 11.0481i 0.353788 0.700148i
\(250\) −2.94755 1.79847i −0.186420 0.113745i
\(251\) 17.9016i 1.12994i −0.825112 0.564970i \(-0.808888\pi\)
0.825112 0.564970i \(-0.191112\pi\)
\(252\) 0.666655 15.1027i 0.0419953 0.951383i
\(253\) 4.12485 4.12485i 0.259327 0.259327i
\(254\) −0.974254 + 1.68746i −0.0611301 + 0.105881i
\(255\) −18.3939 4.00074i −1.15187 0.250536i
\(256\) −4.45168 7.71053i −0.278230 0.481908i
\(257\) −5.10358 19.0468i −0.318353 1.18811i −0.920827 0.389971i \(-0.872485\pi\)
0.602475 0.798138i \(-0.294181\pi\)
\(258\) −0.416467 + 1.99218i −0.0259281 + 0.124028i
\(259\) −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
\(262\) −0.171813 + 0.641215i −0.0106147 + 0.0396144i
\(263\) −1.43607 + 5.35948i −0.0885517 + 0.330480i −0.995963 0.0897640i \(-0.971389\pi\)
0.907411 + 0.420244i \(0.138055\pi\)
\(264\) 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
\(267\) −1.53807 0.321534i −0.0941281 0.0196776i
\(268\) −0.0240547 0.0897733i −0.00146937 0.00548378i
\(269\) 5.02321 + 8.70045i 0.306270 + 0.530476i 0.977543 0.210734i \(-0.0675855\pi\)
−0.671273 + 0.741210i \(0.734252\pi\)
\(270\) −2.90723 2.10342i −0.176928 0.128010i
\(271\) 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
\(273\) 14.6430 + 1.46667i 0.886233 + 0.0887667i
\(274\) 2.72309i 0.164508i
\(275\) −3.81183 0.0616420i −0.229862 0.00371715i
\(276\) 22.5264 + 11.3827i 1.35593 + 0.685158i
\(277\) 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 \(0.0183183\pi\)
−0.998345 + 0.0575167i \(0.981682\pi\)
\(282\) −1.70956 1.52893i −0.101803 0.0910466i
\(283\) 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
\(285\) −5.63507 2.90485i −0.333793 0.172069i
\(286\) −0.756201 −0.0447151
\(287\) 4.15012 + 10.7620i 0.244974 + 0.635263i
\(288\) −9.70225 + 3.79926i −0.571710 + 0.223874i
\(289\) 5.73548 + 3.31138i 0.337381 + 0.194787i
\(290\) −3.41309 0.0275951i −0.200424 0.00162044i
\(291\) −4.12126 + 8.15598i −0.241592 + 0.478112i
\(292\) −2.55301 + 0.684078i −0.149404 + 0.0400326i
\(293\) 7.83332 + 7.83332i 0.457627 + 0.457627i 0.897876 0.440249i \(-0.145110\pi\)
−0.440249 + 0.897876i \(0.645110\pi\)
\(294\) −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
\(297\) −3.94416 0.374436i −0.228863 0.0217270i
\(298\) 5.20686 + 1.39517i 0.301625 + 0.0808203i
\(299\) −12.2846 + 21.2775i −0.710435 + 1.23051i
\(300\) −4.89566 15.7512i −0.282651 0.909397i
\(301\) −4.08027 + 9.20242i −0.235183 + 0.530418i
\(302\) −3.32282 + 3.32282i −0.191207 + 0.191207i
\(303\) 24.5149 + 21.9248i 1.40835 + 1.25955i
\(304\) −4.87205 + 2.81288i −0.279431 + 0.161330i
\(305\) 6.89109 + 7.00343i 0.394583 + 0.401015i
\(306\) 2.67128 + 3.62527i 0.152707 + 0.207243i
\(307\) −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 −0.951615 0.307294i \(-0.900576\pi\)
−0.209683 + 0.977769i \(0.567243\pi\)
\(312\) −2.09411 6.37215i −0.118556 0.360752i
\(313\) −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
\(315\) −11.8780 13.1876i −0.669251 0.743036i
\(316\) 8.06709 0.453809
\(317\) 1.13684 + 4.24276i 0.0638515 + 0.238297i 0.990475 0.137694i \(-0.0439691\pi\)
−0.926623 + 0.375991i \(0.877302\pi\)
\(318\) −1.16076 3.53206i −0.0650920 0.198068i
\(319\) −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
\(324\) −3.78871 16.7176i −0.210484 0.928758i
\(325\) 15.5748 3.90447i 0.863933 0.216581i
\(326\) −0.724106 + 0.418063i −0.0401045 + 0.0231543i
\(327\) −3.04650 2.72462i −0.168472 0.150672i
\(328\) 3.71743 3.71743i 0.205261 0.205261i
\(329\) −6.68183 9.16713i −0.368381 0.505400i
\(330\) 0.674856 + 0.613446i 0.0371496 + 0.0337691i
\(331\) 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
\(333\) −6.62103 + 8.28946i −0.362830 + 0.454259i
\(334\) 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 0.986084 0.166250i \(-0.0531659\pi\)
−0.166250 + 0.986084i \(0.553166\pi\)
\(338\) −0.801644 + 0.214800i −0.0436037 + 0.0116836i
\(339\) 13.1887 26.1005i 0.716313 1.41759i
\(340\) −0.167351 + 20.6988i −0.00907590 + 1.12255i
\(341\) 3.91452 + 2.26005i 0.211983 + 0.122389i
\(342\) 0.552999 + 1.41220i 0.0299027 + 0.0763632i
\(343\) −8.33197 + 16.5402i −0.449884 + 0.893087i
\(344\) 4.58812 0.247375
\(345\) 28.2239 9.02317i 1.51952 0.485791i
\(346\) 0.204333 + 0.353916i 0.0109850 + 0.0190266i
\(347\) 18.6057 + 4.98539i 0.998808 + 0.267630i 0.720946 0.692991i \(-0.243708\pi\)
0.277862 + 0.960621i \(0.410374\pi\)
\(348\) −12.1534 10.8693i −0.651491 0.582657i
\(349\) 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 \(0.185095\pi\)
−0.998325 + 0.0578609i \(0.981572\pi\)
\(354\) −3.67145 1.85520i −0.195135 0.0986029i
\(355\) 26.7607 + 7.40290i 1.42031 + 0.392905i
\(356\) 1.72787i 0.0915769i
\(357\) 9.15857 + 20.3027i 0.484723 + 1.07453i
\(358\) −0.0527764 + 0.0527764i −0.00278932 + 0.00278932i
\(359\) −6.98129 + 12.0920i −0.368459 + 0.638189i −0.989325 0.145728i \(-0.953448\pi\)
0.620866 + 0.783917i \(0.286781\pi\)
\(360\) −3.30038 + 7.38548i −0.173945 + 0.389249i
\(361\) −8.16026 14.1340i −0.429487 0.743894i
\(362\) 1.49366 + 5.57441i 0.0785050 + 0.292985i
\(363\) −17.6638 3.69263i −0.927108 0.193813i
\(364\) −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
\(367\) −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
\(369\) 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
\(372\) −4.00185 + 19.1429i −0.207486 + 0.992515i
\(373\) −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
\(375\) −17.0668 9.15013i −0.881325 0.472511i
\(376\) −2.58517 + 4.47765i −0.133320 + 0.230917i
\(377\) 11.2233 11.2233i 0.578028 0.578028i
\(378\) 0.0492653 + 4.24552i 0.00253393 + 0.218366i
\(379\) 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
\(381\) −4.92842 + 9.75335i −0.252491 + 0.499680i
\(382\) 1.13832 4.24828i 0.0582417 0.217361i
\(383\) 9.81007 2.62860i 0.501271 0.134315i 0.000681261 1.00000i \(-0.499783\pi\)
0.500590 + 0.865685i \(0.333116\pi\)
\(384\) 8.28544 + 12.6652i 0.422815 + 0.646318i
\(385\) 2.62743 + 3.66661i 0.133906 + 0.186868i
\(386\) 2.10507i 0.107145i
\(387\) −1.70987 + 11.2855i −0.0869174 + 0.573672i
\(388\) 9.70615 + 2.60076i 0.492755 + 0.132033i
\(389\) −18.6290 32.2664i −0.944528 1.63597i −0.756693 0.653770i \(-0.773186\pi\)
−0.187835 0.982201i \(-0.560147\pi\)
\(390\) −3.41421 1.76001i −0.172885 0.0891218i
\(391\) −37.1850 −1.88053
\(392\) 8.43099 + 0.415908i 0.425829 + 0.0210065i
\(393\) −0.761825 + 3.64421i −0.0384290 + 0.183826i
\(394\) −2.89595 1.67198i −0.145896 0.0842331i
\(395\) 6.75090 6.64261i 0.339675 0.334226i
\(396\) 0.484465 + 4.32960i 0.0243453 + 0.217571i
\(397\) 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
\(399\) 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 \(0.703720\pi\)
\(402\) 0.00814945 + 0.0247979i 0.000406458 + 0.00123681i
\(403\) −18.3890 4.92733i −0.916023 0.245448i
\(404\) 18.0828 31.3204i 0.899655 1.55825i
\(405\) −16.9362 10.8704i −0.841567 0.540152i
\(406\) 2.37881 + 3.26361i 0.118059 + 0.161970i
\(407\) 1.90662 1.90662i 0.0945074 0.0945074i
\(408\) 6.76738 7.56686i 0.335035 0.374615i
\(409\) −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
\(411\) −0.850451 15.2482i −0.0419497 0.752137i
\(412\) −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
\(417\) 17.0513 5.60365i 0.835007 0.274412i
\(418\) −0.0997634 0.372322i −0.00487959 0.0182109i
\(419\) 25.8278 1.26177 0.630885 0.775876i \(-0.282692\pi\)
0.630885 + 0.775876i \(0.282692\pi\)
\(420\) −11.5219 + 15.7525i −0.562212 + 0.768643i
\(421\) 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
\(423\) −10.0503 8.02749i −0.488664 0.390310i
\(424\) −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
\(429\) −4.23442 + 0.236170i −0.204440 + 0.0114024i
\(430\) 1.87288 1.84283i 0.0903181 0.0888694i
\(431\) 14.1264 8.15586i 0.680443 0.392854i −0.119579 0.992825i \(-0.538154\pi\)
0.800022 + 0.599971i \(0.204821\pi\)
\(432\) −16.2403 + 7.42749i −0.781363 + 0.357355i
\(433\) −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
\(435\) −19.1205 + 0.911426i −0.916760 + 0.0436995i
\(436\) −2.24718 + 3.89223i −0.107620 + 0.186404i
\(437\) −12.0968 3.24133i −0.578669 0.155054i
\(438\) 0.705214 0.231758i 0.0336964 0.0110738i
\(439\) 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
\(441\) −4.16501 + 20.5828i −0.198334 + 0.980135i
\(442\) 3.40853 + 3.40853i 0.162127 + 0.162127i
\(443\) −8.81439 + 2.36181i −0.418784 + 0.112213i −0.462057 0.886850i \(-0.652888\pi\)
0.0432723 + 0.999063i \(0.486222\pi\)
\(444\) 10.4123 + 5.26139i 0.494146 + 0.249695i
\(445\) 1.42276 + 1.44596i 0.0674455 + 0.0685450i
\(446\) −5.84564 3.37498i −0.276799 0.159810i
\(447\) 29.5921 + 6.18625i 1.39966 + 0.292600i
\(448\) 5.52219 + 14.3201i 0.260899 + 0.676560i
\(449\) 9.40891 0.444034 0.222017 0.975043i \(-0.428736\pi\)
0.222017 + 0.975043i \(0.428736\pi\)
\(450\) 1.61919 + 4.34037i 0.0763291 + 0.204607i
\(451\) −1.66204 2.87873i −0.0782622 0.135554i
\(452\) −31.0613 8.32286i −1.46100 0.391474i
\(453\) −17.5687 + 19.6442i −0.825450 + 0.922966i
\(454\) 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
\(459\) 16.0903 + 19.4658i 0.751031 + 0.908585i
\(460\) −16.0630 28.3488i −0.748942 1.32177i
\(461\) 36.9326i 1.72012i 0.510192 + 0.860061i \(0.329574\pi\)
−0.510192 + 0.860061i \(0.670426\pi\)
\(462\) 0.107546 1.07372i 0.00500349 0.0499541i
\(463\) 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
\(465\) 12.4138 + 19.3149i 0.575675 + 0.895705i
\(466\) −1.05953 1.83516i −0.0490817 0.0850120i
\(467\) 2.63979 + 9.85183i 0.122155 + 0.455888i 0.999722 0.0235650i \(-0.00750166\pi\)
−0.877567 + 0.479453i \(0.840835\pi\)
\(468\) −6.69060 17.0859i −0.309273 0.789797i
\(469\) 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
\(472\) −2.40011 + 8.95734i −0.110474 + 0.412295i
\(473\) 0.750833 2.80215i 0.0345233 0.128843i
\(474\) −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
\(477\) −7.60287 19.4156i −0.348112 0.888979i
\(478\) −1.49540 5.58092i −0.0683981 0.255265i
\(479\) 6.85350 + 11.8706i 0.313144 + 0.542382i 0.979041 0.203662i \(-0.0652843\pi\)
−0.665897 + 0.746044i \(0.731951\pi\)
\(480\) 13.1443 + 2.85894i 0.599953 + 0.130492i
\(481\) −5.67825 + 9.83503i −0.258906 + 0.448439i
\(482\) −0.430674 + 0.430674i −0.0196167 + 0.0196167i
\(483\) −28.4646 20.4688i −1.29518 0.931362i
\(484\) 19.8436i 0.901980i
\(485\) 10.2641 5.81582i 0.466067 0.264083i
\(486\) 1.32389 + 4.62869i 0.0600529 + 0.209961i
\(487\) −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 \(0.180012\pi\)
−0.844308 + 0.535858i \(0.819988\pi\)
\(492\) 9.58750 10.7201i 0.432238 0.483301i
\(493\) 23.2037 + 6.21740i 1.04504 + 0.280018i
\(494\) 0.811730 + 1.40596i 0.0365215 + 0.0632570i
\(495\) 3.97051 + 3.22429i 0.178461 + 0.144921i
\(496\) 20.3744 0.914836
\(497\) −11.8205 30.6527i −0.530220 1.37496i
\(498\) 3.74205 + 0.782280i 0.167685 + 0.0350548i
\(499\) −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
\(501\) 8.42904 + 4.25924i 0.376582 + 0.190289i
\(502\) 5.34029 1.43093i 0.238349 0.0638654i
\(503\) −2.62851 2.62851i −0.117199 0.117199i 0.646075 0.763274i \(-0.276409\pi\)
−0.763274 + 0.646075i \(0.776409\pi\)
\(504\) 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
\(507\) −4.42180 + 1.45316i −0.196379 + 0.0645369i
\(508\) 11.6071 + 3.11012i 0.514983 + 0.137989i
\(509\) 6.91189 11.9717i 0.306364 0.530638i −0.671200 0.741276i \(-0.734221\pi\)
0.977564 + 0.210638i \(0.0675541\pi\)
\(510\) −0.276802 5.80694i −0.0122570 0.257136i
\(511\) 3.65085 0.389385i 0.161504 0.0172254i
\(512\) 14.3017 14.3017i 0.632050 0.632050i
\(513\) 3.53762 + 7.73506i 0.156190 + 0.341511i
\(514\) 5.27399 3.04494i 0.232626 0.134306i
\(515\) −28.2434 0.228350i −1.24455 0.0100623i
\(516\) 12.5320 0.698960i 0.551691 0.0307700i
\(517\) 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 −0.277460 0.960737i \(-0.589493\pi\)
0.693293 + 0.720656i \(0.256159\pi\)
\(522\) 3.57804 + 2.85789i 0.156607 + 0.125086i
\(523\) 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
\(525\) 3.32889 + 22.6698i 0.145285 + 0.989390i
\(526\) −1.71360 −0.0747163
\(527\) −7.45743 27.8315i −0.324851 1.21236i
\(528\) 4.31189 1.41703i 0.187651 0.0616685i
\(529\) 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
\(534\) −0.0270240 0.484527i −0.00116944 0.0209676i
\(535\) −4.87593 0.0394223i −0.210805 0.00170438i
\(536\) 0.0509605 0.0294221i 0.00220116 0.00127084i
\(537\) −0.279044 + 0.312009i −0.0120416 + 0.0134642i
\(538\) −2.19394 + 2.19394i −0.0945876 + 0.0945876i
\(539\) 1.63372 5.08108i 0.0703692 0.218857i
\(540\) −7.88956 + 20.6755i −0.339513 + 0.889733i
\(541\) −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
\(543\) 10.1048 + 30.7480i 0.433640 + 1.31952i
\(544\) −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 0.144370 0.989524i \(-0.453885\pi\)
−0.989524 + 0.144370i \(0.953885\pi\)
\(548\) −16.2212 + 4.34647i −0.692937 + 0.185672i
\(549\) −1.46586 13.1002i −0.0625612 0.559101i
\(550\) −0.286302 1.14205i −0.0122080 0.0486971i
\(551\) 7.00653 + 4.04522i 0.298488 + 0.172332i
\(552\) −3.26991 + 15.6417i −0.139176 + 0.665753i
\(553\) −11.0709 1.73605i −0.470782 0.0738242i
\(554\) 3.47282 0.147546
\(555\) 13.0458 4.17075i 0.553764 0.177038i
\(556\) −9.86837 17.0925i −0.418512 0.724884i
\(557\) 42.2902 + 11.3316i 1.79189 + 0.480137i 0.992666 0.120891i \(-0.0385751\pi\)
0.799228 + 0.601028i \(0.205242\pi\)
\(558\) 0.822798 5.43063i 0.0348318 0.229897i
\(559\) 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 −0.878663 0.477442i \(-0.841564\pi\)
0.999666 + 0.0258549i \(0.00823079\pi\)
\(564\) −6.37903 + 12.6241i −0.268606 + 0.531571i
\(565\) −32.8467 + 18.6116i −1.38187 + 0.782997i
\(566\) 8.14252i 0.342256i
\(567\) 1.60179 + 23.7578i 0.0672689 + 0.997735i
\(568\) −10.5881 + 10.5881i −0.444266 + 0.444266i
\(569\) −6.90318 + 11.9567i −0.289396 + 0.501249i −0.973666 0.227980i \(-0.926788\pi\)
0.684269 + 0.729229i \(0.260121\pi\)
\(570\) 0.416131 1.91321i 0.0174298 0.0801356i
\(571\) 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
\(573\) 5.04736 24.1442i 0.210857 1.00864i
\(574\) −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
\(577\) −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
\(579\) −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
\(582\) −2.76247 0.577496i −0.114508 0.0239380i
\(583\) 1.37159 + 5.11885i 0.0568055 + 0.212001i
\(584\) −0.836718 1.44924i −0.0346236 0.0599699i
\(585\) −19.6679 8.78907i −0.813167 0.363383i
\(586\) −1.71065 + 2.96293i −0.0706662 + 0.122397i
\(587\) −5.54217 + 5.54217i −0.228750 + 0.228750i −0.812170 0.583421i \(-0.801714\pi\)
0.583421 + 0.812170i \(0.301714\pi\)
\(588\) 23.0918 0.148375i 0.952290 0.00611888i
\(589\) 9.70404i 0.399848i
\(590\) 2.61802 + 4.62041i 0.107782 + 0.190219i
\(591\) −16.7384 8.45798i −0.688524 0.347915i
\(592\) 3.14565 11.7397i 0.129285 0.482499i
\(593\) −8.37814 + 2.24492i −0.344049 + 0.0921877i −0.426706 0.904390i \(-0.640326\pi\)
0.0826570 + 0.996578i \(0.473659\pi\)
\(594\) −0.203568 1.20653i −0.00835252 0.0495043i
\(595\) 4.68406 28.3700i 0.192028 1.16306i
\(596\) 33.2438i 1.36172i
\(597\) −21.1473 18.9130i −0.865503 0.774058i
\(598\) −7.32931 1.96388i −0.299718 0.0803091i
\(599\) −7.93869 13.7502i −0.324366 0.561819i 0.657018 0.753875i \(-0.271818\pi\)
−0.981384 + 0.192056i \(0.938484\pi\)
\(600\) 8.83067 5.57515i 0.360511 0.227605i
\(601\) 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
\(603\) 0.0533783 + 0.136313i 0.00217373 + 0.00555110i
\(604\) 25.0976 + 14.4901i 1.02120 + 0.589593i
\(605\) 16.3396 + 16.6060i 0.664299 + 0.675129i
\(606\) −4.58092 + 9.06565i −0.186087 + 0.368267i
\(607\) 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
\(609\) 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
\(612\) 17.3317 21.6991i 0.700593 0.877135i
\(613\) −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
\(615\) −0.803941 16.8656i −0.0324180 0.680088i
\(616\) −2.41892 + 0.257992i −0.0974611 + 0.0103948i
\(617\) −13.2098 + 13.2098i −0.531808 + 0.531808i −0.921110 0.389302i \(-0.872716\pi\)
0.389302 + 0.921110i \(0.372716\pi\)
\(618\) 5.03637 + 4.50426i 0.202593 + 0.181188i
\(619\) −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
\(621\) −37.2554 13.8723i −1.49501 0.556675i
\(622\) −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
\(627\) −0.674915 2.05370i −0.0269535 0.0820167i
\(628\) −4.50384 16.8086i −0.179723 0.670735i
\(629\) −17.1879 −0.685327
\(630\) 2.98459 4.59750i 0.118909 0.183169i
\(631\) 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
\(633\) −13.7909 41.9641i −0.548138 1.66792i
\(634\) −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
\(639\) −22.0978 29.9896i −0.874174 1.18637i
\(640\) 0.157967 19.5380i 0.00624418 0.772308i
\(641\) −36.6801 + 21.1773i −1.44878 + 0.836451i −0.998409 0.0563924i \(-0.982040\pi\)
−0.450367 + 0.892843i \(0.648707\pi\)
\(642\) 0.869478 + 0.777613i 0.0343155 + 0.0306899i
\(643\) 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
\(645\) 9.91181 10.9040i 0.390277 0.429347i
\(646\) −1.22854 + 2.12790i −0.0483363 + 0.0837209i
\(647\) 22.9610 + 6.15237i 0.902689 + 0.241875i 0.680171 0.733054i \(-0.261906\pi\)
0.222518 + 0.974929i \(0.428572\pi\)
\(648\) 9.60309 5.05655i 0.377245 0.198640i
\(649\) 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
\(653\) −21.0505 + 5.64046i −0.823769 + 0.220728i −0.645994 0.763343i \(-0.723557\pi\)
−0.177775 + 0.984071i \(0.556890\pi\)
\(654\) 0.569277 1.12660i 0.0222605 0.0440535i
\(655\) 3.42597 3.37102i 0.133864 0.131717i
\(656\) −12.9759 7.49163i −0.506623 0.292499i
\(657\) 3.87653 1.51800i 0.151238 0.0592227i
\(658\) 2.20058 2.72604i 0.0857876 0.106272i
\(659\) 42.6184 1.66018 0.830088 0.557632i \(-0.188290\pi\)
0.830088 + 0.557632i \(0.188290\pi\)
\(660\) 2.57708 4.99923i 0.100313 0.194595i
\(661\) −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
\(663\) 20.1509 + 18.0219i 0.782597 + 0.699911i
\(664\) 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
\(669\) −33.7873 17.0729i −1.30629 0.660075i
\(670\) 0.00898467 0.0324786i 0.000347108 0.00125476i
\(671\) 3.35026i 0.129335i
\(672\) −6.54474 14.5083i −0.252469 0.559671i
\(673\) −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
\(675\) 10.4223 + 23.7986i 0.401156 + 0.916010i
\(676\) 2.55910 + 4.43248i 0.0984268 + 0.170480i
\(677\) 11.0202 + 41.1280i 0.423542 + 1.58068i 0.767087 + 0.641543i \(0.221705\pi\)
−0.343545 + 0.939136i \(0.611628\pi\)
\(678\) 8.84036 + 1.84809i 0.339512 + 0.0709753i
\(679\) −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
\(682\) −0.361305 + 1.34841i −0.0138351 + 0.0516332i
\(683\) 0.603360 2.25177i 0.0230869 0.0861617i −0.953421 0.301642i \(-0.902465\pi\)
0.976508 + 0.215481i \(0.0691318\pi\)
\(684\) 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
\(687\) 5.42298 25.9409i 0.206899 0.989708i
\(688\) −3.38438 12.6307i −0.129028 0.481540i
\(689\) −11.1600 19.3297i −0.425163 0.736404i
\(690\) 4.94775 + 7.69832i 0.188358 + 0.293070i
\(691\) 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
\(693\) 0.266878 6.04600i 0.0101379 0.229669i
\(694\) 5.94884i 0.225815i
\(695\) −22.3326 6.17796i −0.847125 0.234343i
\(696\) 4.65576 9.21376i 0.176476 0.349247i
\(697\) −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 \(-0.832493\pi\)
0.864703 0.502284i \(-0.167507\pi\)
\(702\) 2.14340 + 4.68657i 0.0808973 + 0.176883i
\(703\) −5.59148 1.49823i −0.210886 0.0565069i
\(704\) −2.21152 3.83047i −0.0833500 0.144366i
\(705\) 5.05671 + 15.8171i 0.190447 + 0.595705i
\(706\) −3.64717 −0.137263
\(707\) −31.5562 + 39.0912i −1.18679 + 1.47017i
\(708\) −5.19111 + 24.8318i −0.195094 + 0.933235i
\(709\) −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
\(711\) −12.6278 + 1.41300i −0.473580 + 0.0529917i
\(712\) −1.05671 + 0.283144i −0.0396018 + 0.0106113i
\(713\) 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
\(717\) −10.1166 30.7839i −0.377813 1.14964i
\(718\) −4.16523 1.11607i −0.155445 0.0416514i
\(719\) −10.6906 + 18.5167i −0.398694 + 0.690558i −0.993565 0.113263i \(-0.963870\pi\)
0.594871 + 0.803821i \(0.297203\pi\)
\(720\) 22.7660 + 3.63782i 0.848440 + 0.135573i
\(721\) 19.6848 + 27.0065i 0.733099 + 1.00577i
\(722\) 3.56409 3.56409i 0.132642 0.132642i
\(723\) −2.27710 + 2.54611i −0.0846862 + 0.0946907i
\(724\) 30.8223 17.7952i 1.14550 0.661355i
\(725\) 21.1991 + 12.7007i 0.787315 + 0.471692i
\(726\) −0.310355 5.56451i −0.0115183 0.206518i
\(727\) 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
\(732\) −13.7707 + 4.52553i −0.508980 + 0.167268i
\(733\) 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
\(735\) 19.2021 19.1384i 0.708279 0.705932i
\(736\) 26.5725 0.979475
\(737\) −0.00962968 0.0359385i −0.000354714 0.00132381i
\(738\) −2.52085 + 3.15608i −0.0927939 + 0.116177i
\(739\) 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 \(0.0448819\pi\)
0.140534 + 0.990076i \(0.455118\pi\)
\(744\) −12.3630 + 0.689531i −0.453248 + 0.0252794i
\(745\) −27.3737 27.8199i −1.00289 1.01924i
\(746\) 9.31740 5.37940i 0.341134 0.196954i
\(747\) 21.1983 + 3.21177i 0.775605 + 0.117512i
\(748\) −4.99090 + 4.99090i −0.182485 + 0.182485i
\(749\) 3.39837 + 4.66239i 0.124174 + 0.170360i
\(750\) 1.36541 5.82265i 0.0498578 0.212613i
\(751\) −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
\(753\) 29.4566 9.68045i 1.07346 0.352775i
\(754\) 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 0.721472 0.692444i \(-0.243466\pi\)
−0.692444 + 0.721472i \(0.743466\pi\)
\(758\) −5.68591 + 1.52354i −0.206522 + 0.0553373i
\(759\) 9.01787 + 4.55678i 0.327328 + 0.165401i
\(760\) −4.41371 0.0356852i −0.160102 0.00129444i
\(761\) −37.3941 21.5895i