Properties

Label 370.2.ba.b.283.8
Level $370$
Weight $2$
Character 370.283
Analytic conductor $2.954$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.ba (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 283.8
Character \(\chi\) \(=\) 370.283
Dual form 370.2.ba.b.17.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 + 0.984808i) q^{2} +(1.32542 + 0.928067i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.101493 - 2.23376i) q^{5} +(-1.14412 + 1.14412i) q^{6} +(0.111534 - 1.27484i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.130639 - 0.358928i) q^{9} +O(q^{10})\) \(q+(-0.173648 + 0.984808i) q^{2} +(1.32542 + 0.928067i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.101493 - 2.23376i) q^{5} +(-1.14412 + 1.14412i) q^{6} +(0.111534 - 1.27484i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.130639 - 0.358928i) q^{9} +(2.18220 + 0.487840i) q^{10} +(3.41422 + 1.97120i) q^{11} +(-0.928067 - 1.32542i) q^{12} +(5.67603 + 2.06591i) q^{13} +(1.23610 + 0.331212i) q^{14} +(2.20760 - 2.86648i) q^{15} +(0.766044 + 0.642788i) q^{16} +(1.63815 + 4.50077i) q^{17} +(0.376161 - 0.0663273i) q^{18} +(-1.17250 + 1.67451i) q^{19} +(-0.859364 + 2.06434i) q^{20} +(1.33096 - 1.58618i) q^{21} +(-2.53412 + 3.02005i) q^{22} +(-2.61359 - 4.52686i) q^{23} +(1.46644 - 0.683811i) q^{24} +(-4.97940 - 0.453421i) q^{25} +(-3.02015 + 5.23106i) q^{26} +(1.41629 - 5.28568i) q^{27} +(-0.540827 + 1.15981i) q^{28} +(0.104271 + 0.389145i) q^{29} +(2.43958 + 2.67182i) q^{30} +(-3.76456 - 3.76456i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(2.69585 + 5.78128i) q^{33} +(-4.71685 + 0.831708i) q^{34} +(-2.83636 - 0.378526i) q^{35} +0.381964i q^{36} +(-0.431571 - 6.06743i) q^{37} +(-1.44547 - 1.44547i) q^{38} +(5.60580 + 8.00592i) q^{39} +(-1.88375 - 1.20478i) q^{40} +(-3.22430 + 8.85869i) q^{41} +(1.33096 + 1.58618i) q^{42} +2.78417 q^{43} +(-2.53412 - 3.02005i) q^{44} +(-0.815020 + 0.255389i) q^{45} +(4.91193 - 1.78780i) q^{46} +(-10.8047 - 2.89511i) q^{47} +(0.418778 + 1.56290i) q^{48} +(5.28089 + 0.931163i) q^{49} +(1.31120 - 4.82501i) q^{50} +(-2.00579 + 7.48570i) q^{51} +(-4.62714 - 3.88263i) q^{52} +(-0.144376 - 1.65022i) q^{53} +(4.95944 + 2.31262i) q^{54} +(4.74971 - 7.42649i) q^{55} +(-1.04827 - 0.734009i) q^{56} +(-3.10811 + 1.13126i) q^{57} +(-0.401340 + 0.0351127i) q^{58} +(-0.316329 - 3.61565i) q^{59} +(-3.05486 + 1.93856i) q^{60} +(3.38137 + 7.25138i) q^{61} +(4.36107 - 3.05366i) q^{62} +(-0.472146 + 0.126511i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(5.19082 - 12.4692i) q^{65} +(-6.16158 + 1.65099i) q^{66} +(2.47567 + 0.216593i) q^{67} -4.78962i q^{68} +(0.737141 - 8.42556i) q^{69} +(0.865305 - 2.72754i) q^{70} +(2.29933 + 13.0401i) q^{71} +(-0.376161 - 0.0663273i) q^{72} +(-8.34881 + 8.34881i) q^{73} +(6.05020 + 0.628584i) q^{74} +(-6.17897 - 5.22218i) q^{75} +(1.67451 - 1.17250i) q^{76} +(2.89376 - 4.13271i) q^{77} +(-8.85773 + 4.13043i) q^{78} +(-7.48287 - 0.654667i) q^{79} +(1.51358 - 1.64592i) q^{80} +(5.90483 - 4.95474i) q^{81} +(-8.16421 - 4.71361i) q^{82} +(-1.02033 - 0.475790i) q^{83} +(-1.79320 + 1.03530i) q^{84} +(10.2199 - 3.20243i) q^{85} +(-0.483467 + 2.74188i) q^{86} +(-0.222950 + 0.612550i) q^{87} +(3.41422 - 1.97120i) q^{88} +(-7.22041 + 0.631704i) q^{89} +(-0.109982 - 0.846986i) q^{90} +(3.26676 - 7.00559i) q^{91} +(0.907689 + 5.14776i) q^{92} +(-1.49585 - 8.48337i) q^{93} +(4.72735 - 10.1378i) q^{94} +(3.62145 + 2.78904i) q^{95} +(-1.61188 + 0.141021i) q^{96} +(9.95561 - 5.74787i) q^{97} +(-1.83403 + 5.03896i) q^{98} +(0.261488 - 1.48297i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8} + O(q^{10}) \) \( 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8} + 12 q^{10} - 36 q^{11} - 6 q^{12} - 6 q^{13} + 12 q^{14} - 24 q^{15} - 12 q^{19} + 12 q^{20} + 42 q^{21} + 6 q^{22} + 6 q^{24} + 6 q^{25} + 6 q^{26} + 6 q^{27} - 36 q^{30} - 18 q^{33} - 30 q^{35} + 12 q^{37} - 48 q^{38} - 12 q^{40} - 30 q^{41} + 42 q^{42} + 6 q^{44} - 30 q^{45} - 6 q^{46} + 12 q^{47} - 60 q^{49} - 48 q^{50} + 12 q^{51} - 6 q^{52} + 12 q^{53} + 18 q^{54} + 36 q^{57} + 6 q^{58} - 24 q^{59} + 54 q^{60} - 72 q^{61} + 6 q^{62} + 96 q^{63} - 60 q^{64} - 18 q^{65} - 42 q^{67} - 96 q^{69} - 12 q^{70} - 90 q^{73} + 24 q^{74} - 60 q^{75} + 18 q^{76} + 6 q^{77} + 24 q^{78} - 18 q^{79} + 6 q^{80} - 108 q^{81} - 36 q^{82} + 48 q^{83} + 36 q^{85} + 24 q^{86} + 108 q^{87} - 36 q^{88} + 54 q^{89} - 6 q^{90} + 42 q^{91} - 12 q^{92} - 12 q^{93} - 18 q^{94} - 198 q^{95} - 12 q^{96} - 72 q^{97} + 48 q^{98} + 42 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{29}{36}\right)\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 + 0.984808i −0.122788 + 0.696364i
\(3\) 1.32542 + 0.928067i 0.765230 + 0.535820i 0.889778 0.456394i \(-0.150859\pi\)
−0.124548 + 0.992214i \(0.539748\pi\)
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) 0.101493 2.23376i 0.0453888 0.998969i
\(6\) −1.14412 + 1.14412i −0.467086 + 0.467086i
\(7\) 0.111534 1.27484i 0.0421558 0.481843i −0.945545 0.325490i \(-0.894471\pi\)
0.987701 0.156353i \(-0.0499737\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −0.130639 0.358928i −0.0435464 0.119643i
\(10\) 2.18220 + 0.487840i 0.690073 + 0.154268i
\(11\) 3.41422 + 1.97120i 1.02942 + 0.594339i 0.916820 0.399301i \(-0.130747\pi\)
0.112605 + 0.993640i \(0.464081\pi\)
\(12\) −0.928067 1.32542i −0.267910 0.382615i
\(13\) 5.67603 + 2.06591i 1.57425 + 0.572979i 0.973943 0.226793i \(-0.0728241\pi\)
0.600304 + 0.799772i \(0.295046\pi\)
\(14\) 1.23610 + 0.331212i 0.330362 + 0.0885202i
\(15\) 2.20760 2.86648i 0.570000 0.740121i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) 1.63815 + 4.50077i 0.397309 + 1.09160i 0.963590 + 0.267384i \(0.0861593\pi\)
−0.566281 + 0.824212i \(0.691618\pi\)
\(18\) 0.376161 0.0663273i 0.0886619 0.0156335i
\(19\) −1.17250 + 1.67451i −0.268991 + 0.384158i −0.930809 0.365506i \(-0.880896\pi\)
0.661818 + 0.749664i \(0.269785\pi\)
\(20\) −0.859364 + 2.06434i −0.192160 + 0.461600i
\(21\) 1.33096 1.58618i 0.290440 0.346133i
\(22\) −2.53412 + 3.02005i −0.540277 + 0.643877i
\(23\) −2.61359 4.52686i −0.544970 0.943916i −0.998609 0.0527304i \(-0.983208\pi\)
0.453639 0.891186i \(-0.350126\pi\)
\(24\) 1.46644 0.683811i 0.299335 0.139582i
\(25\) −4.97940 0.453421i −0.995880 0.0906841i
\(26\) −3.02015 + 5.23106i −0.592300 + 1.02589i
\(27\) 1.41629 5.28568i 0.272566 1.01723i
\(28\) −0.540827 + 1.15981i −0.102207 + 0.219183i
\(29\) 0.104271 + 0.389145i 0.0193627 + 0.0722625i 0.974931 0.222507i \(-0.0714239\pi\)
−0.955568 + 0.294769i \(0.904757\pi\)
\(30\) 2.43958 + 2.67182i 0.445405 + 0.487806i
\(31\) −3.76456 3.76456i −0.676134 0.676134i 0.282989 0.959123i \(-0.408674\pi\)
−0.959123 + 0.282989i \(0.908674\pi\)
\(32\) −0.766044 + 0.642788i −0.135419 + 0.113630i
\(33\) 2.69585 + 5.78128i 0.469288 + 1.00639i
\(34\) −4.71685 + 0.831708i −0.808933 + 0.142637i
\(35\) −2.83636 0.378526i −0.479433 0.0639827i
\(36\) 0.381964i 0.0636606i
\(37\) −0.431571 6.06743i −0.0709499 0.997480i
\(38\) −1.44547 1.44547i −0.234485 0.234485i
\(39\) 5.60580 + 8.00592i 0.897647 + 1.28197i
\(40\) −1.88375 1.20478i −0.297847 0.190492i
\(41\) −3.22430 + 8.85869i −0.503551 + 1.38349i 0.384234 + 0.923236i \(0.374466\pi\)
−0.887785 + 0.460259i \(0.847757\pi\)
\(42\) 1.33096 + 1.58618i 0.205372 + 0.244753i
\(43\) 2.78417 0.424583 0.212291 0.977206i \(-0.431907\pi\)
0.212291 + 0.977206i \(0.431907\pi\)
\(44\) −2.53412 3.02005i −0.382033 0.455290i
\(45\) −0.815020 + 0.255389i −0.121496 + 0.0380711i
\(46\) 4.91193 1.78780i 0.724225 0.263596i
\(47\) −10.8047 2.89511i −1.57603 0.422295i −0.638335 0.769759i \(-0.720376\pi\)
−0.937693 + 0.347464i \(0.887043\pi\)
\(48\) 0.418778 + 1.56290i 0.0604454 + 0.225585i
\(49\) 5.28089 + 0.931163i 0.754412 + 0.133023i
\(50\) 1.31120 4.82501i 0.185431 0.682360i
\(51\) −2.00579 + 7.48570i −0.280866 + 1.04821i
\(52\) −4.62714 3.88263i −0.641669 0.538424i
\(53\) −0.144376 1.65022i −0.0198315 0.226675i −0.999642 0.0267479i \(-0.991485\pi\)
0.979811 0.199928i \(-0.0640707\pi\)
\(54\) 4.95944 + 2.31262i 0.674894 + 0.314708i
\(55\) 4.74971 7.42649i 0.640450 1.00139i
\(56\) −1.04827 0.734009i −0.140082 0.0980861i
\(57\) −3.10811 + 1.13126i −0.411679 + 0.149839i
\(58\) −0.401340 + 0.0351127i −0.0526985 + 0.00461052i
\(59\) −0.316329 3.61565i −0.0411825 0.470718i −0.988584 0.150671i \(-0.951857\pi\)
0.947402 0.320047i \(-0.103699\pi\)
\(60\) −3.05486 + 1.93856i −0.394381 + 0.250267i
\(61\) 3.38137 + 7.25138i 0.432940 + 0.928444i 0.994861 + 0.101252i \(0.0322849\pi\)
−0.561920 + 0.827191i \(0.689937\pi\)
\(62\) 4.36107 3.05366i 0.553857 0.387815i
\(63\) −0.472146 + 0.126511i −0.0594848 + 0.0159389i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 5.19082 12.4692i 0.643842 1.54662i
\(66\) −6.16158 + 1.65099i −0.758438 + 0.203223i
\(67\) 2.47567 + 0.216593i 0.302451 + 0.0264610i 0.237371 0.971419i \(-0.423714\pi\)
0.0650797 + 0.997880i \(0.479270\pi\)
\(68\) 4.78962i 0.580826i
\(69\) 0.737141 8.42556i 0.0887414 1.01432i
\(70\) 0.865305 2.72754i 0.103424 0.326004i
\(71\) 2.29933 + 13.0401i 0.272880 + 1.54758i 0.745616 + 0.666375i \(0.232155\pi\)
−0.472736 + 0.881204i \(0.656734\pi\)
\(72\) −0.376161 0.0663273i −0.0443310 0.00781674i
\(73\) −8.34881 + 8.34881i −0.977154 + 0.977154i −0.999745 0.0225904i \(-0.992809\pi\)
0.0225904 + 0.999745i \(0.492809\pi\)
\(74\) 6.05020 + 0.628584i 0.703321 + 0.0730714i
\(75\) −6.17897 5.22218i −0.713486 0.603006i
\(76\) 1.67451 1.17250i 0.192079 0.134495i
\(77\) 2.89376 4.13271i 0.329774 0.470966i
\(78\) −8.85773 + 4.13043i −1.00294 + 0.467679i
\(79\) −7.48287 0.654667i −0.841889 0.0736557i −0.341952 0.939717i \(-0.611088\pi\)
−0.499937 + 0.866062i \(0.666644\pi\)
\(80\) 1.51358 1.64592i 0.169224 0.184020i
\(81\) 5.90483 4.95474i 0.656093 0.550527i
\(82\) −8.16421 4.71361i −0.901586 0.520531i
\(83\) −1.02033 0.475790i −0.111996 0.0522247i 0.365813 0.930689i \(-0.380791\pi\)
−0.477809 + 0.878464i \(0.658569\pi\)
\(84\) −1.79320 + 1.03530i −0.195654 + 0.112961i
\(85\) 10.2199 3.20243i 1.10850 0.347353i
\(86\) −0.483467 + 2.74188i −0.0521336 + 0.295664i
\(87\) −0.222950 + 0.612550i −0.0239028 + 0.0656723i
\(88\) 3.41422 1.97120i 0.363957 0.210130i
\(89\) −7.22041 + 0.631704i −0.765362 + 0.0669605i −0.463150 0.886280i \(-0.653281\pi\)
−0.302213 + 0.953241i \(0.597725\pi\)
\(90\) −0.109982 0.846986i −0.0115931 0.0892801i
\(91\) 3.26676 7.00559i 0.342450 0.734385i
\(92\) 0.907689 + 5.14776i 0.0946331 + 0.536691i
\(93\) −1.49585 8.48337i −0.155112 0.879684i
\(94\) 4.72735 10.1378i 0.487588 1.04564i
\(95\) 3.62145 + 2.78904i 0.371553 + 0.286150i
\(96\) −1.61188 + 0.141021i −0.164512 + 0.0143929i
\(97\) 9.95561 5.74787i 1.01084 0.583608i 0.0994016 0.995047i \(-0.468307\pi\)
0.911437 + 0.411439i \(0.134974\pi\)
\(98\) −1.83403 + 5.03896i −0.185265 + 0.509012i
\(99\) 0.261488 1.48297i 0.0262806 0.149045i
\(100\) 4.52403 + 2.12913i 0.452403 + 0.212913i
\(101\) −8.00858 + 4.62376i −0.796883 + 0.460081i −0.842380 0.538884i \(-0.818846\pi\)
0.0454968 + 0.998964i \(0.485513\pi\)
\(102\) −7.02367 3.27519i −0.695447 0.324292i
\(103\) −7.19304 4.15291i −0.708752 0.409198i 0.101847 0.994800i \(-0.467525\pi\)
−0.810599 + 0.585602i \(0.800858\pi\)
\(104\) 4.62714 3.88263i 0.453728 0.380723i
\(105\) −3.40807 3.13404i −0.332593 0.305851i
\(106\) 1.65022 + 0.144376i 0.160284 + 0.0140230i
\(107\) −18.4901 + 8.62208i −1.78751 + 0.833528i −0.823654 + 0.567093i \(0.808068\pi\)
−0.963853 + 0.266435i \(0.914154\pi\)
\(108\) −3.13869 + 4.48251i −0.302020 + 0.431330i
\(109\) 10.7121 7.50068i 1.02603 0.718435i 0.0658549 0.997829i \(-0.479023\pi\)
0.960176 + 0.279394i \(0.0901337\pi\)
\(110\) 6.48888 + 5.96714i 0.618691 + 0.568945i
\(111\) 5.05897 8.44240i 0.480176 0.801317i
\(112\) 0.904889 0.904889i 0.0855040 0.0855040i
\(113\) −16.3826 2.88869i −1.54114 0.271745i −0.662440 0.749115i \(-0.730479\pi\)
−0.878703 + 0.477370i \(0.841590\pi\)
\(114\) −0.574356 3.25733i −0.0537933 0.305077i
\(115\) −10.3772 + 5.37869i −0.967679 + 0.501565i
\(116\) 0.0351127 0.401340i 0.00326013 0.0372635i
\(117\) 2.30718i 0.213298i
\(118\) 3.61565 + 0.316329i 0.332848 + 0.0291204i
\(119\) 5.92045 1.58638i 0.542727 0.145423i
\(120\) −1.37864 3.34508i −0.125852 0.305362i
\(121\) 2.27124 + 3.93391i 0.206477 + 0.357628i
\(122\) −7.72838 + 2.07081i −0.699695 + 0.187483i
\(123\) −12.4950 + 8.74909i −1.12664 + 0.788879i
\(124\) 2.24997 + 4.82508i 0.202053 + 0.433305i
\(125\) −1.51821 + 11.0768i −0.135793 + 0.990737i
\(126\) −0.0426018 0.486941i −0.00379527 0.0433802i
\(127\) −3.33709 + 0.291957i −0.296119 + 0.0259070i −0.234247 0.972177i \(-0.575262\pi\)
−0.0618716 + 0.998084i \(0.519707\pi\)
\(128\) 0.939693 0.342020i 0.0830579 0.0302306i
\(129\) 3.69019 + 2.58390i 0.324903 + 0.227500i
\(130\) 11.3784 + 7.27722i 0.997953 + 0.638254i
\(131\) −0.185168 0.0863453i −0.0161782 0.00754403i 0.414512 0.910044i \(-0.363952\pi\)
−0.430691 + 0.902500i \(0.641730\pi\)
\(132\) −0.555961 6.35466i −0.0483902 0.553102i
\(133\) 2.00395 + 1.68151i 0.173765 + 0.145806i
\(134\) −0.643197 + 2.40044i −0.0555638 + 0.207367i
\(135\) −11.6632 3.70012i −1.00381 0.318456i
\(136\) 4.71685 + 0.831708i 0.404467 + 0.0713184i
\(137\) −0.682025 2.54535i −0.0582693 0.217464i 0.930652 0.365906i \(-0.119241\pi\)
−0.988921 + 0.148442i \(0.952574\pi\)
\(138\) 8.16955 + 2.18903i 0.695439 + 0.186342i
\(139\) −3.57216 + 1.30016i −0.302987 + 0.110278i −0.489040 0.872262i \(-0.662653\pi\)
0.186053 + 0.982540i \(0.440430\pi\)
\(140\) 2.53585 + 1.32579i 0.214318 + 0.112050i
\(141\) −11.6339 13.8647i −0.979749 1.16762i
\(142\) −13.2413 −1.11119
\(143\) 15.3069 + 18.2420i 1.28002 + 1.52547i
\(144\) 0.130639 0.358928i 0.0108866 0.0299107i
\(145\) 0.879842 0.193422i 0.0730669 0.0160628i
\(146\) −6.77222 9.67173i −0.560473 0.800438i
\(147\) 6.13519 + 6.13519i 0.506022 + 0.506022i
\(148\) −1.66964 + 5.84913i −0.137244 + 0.480795i
\(149\) 10.3540i 0.848235i 0.905607 + 0.424118i \(0.139416\pi\)
−0.905607 + 0.424118i \(0.860584\pi\)
\(150\) 6.21582 5.17828i 0.507519 0.422805i
\(151\) 5.38880 0.950191i 0.438534 0.0773254i 0.0499778 0.998750i \(-0.484085\pi\)
0.388556 + 0.921425i \(0.372974\pi\)
\(152\) 0.863915 + 1.85267i 0.0700728 + 0.150272i
\(153\) 1.40145 1.17595i 0.113300 0.0950702i
\(154\) 3.56743 + 3.56743i 0.287472 + 0.287472i
\(155\) −8.79121 + 8.02706i −0.706127 + 0.644749i
\(156\) −2.52955 9.44040i −0.202526 0.755837i
\(157\) 4.84849 10.3976i 0.386952 0.829820i −0.612281 0.790641i \(-0.709748\pi\)
0.999232 0.0391798i \(-0.0124745\pi\)
\(158\) 1.94411 7.25551i 0.154665 0.577217i
\(159\) 1.34016 2.32122i 0.106281 0.184085i
\(160\) 1.35809 + 1.77640i 0.107366 + 0.140437i
\(161\) −6.06251 + 2.82700i −0.477793 + 0.222799i
\(162\) 3.85411 + 6.67551i 0.302807 + 0.524477i
\(163\) 4.23916 5.05203i 0.332036 0.395706i −0.574035 0.818831i \(-0.694623\pi\)
0.906071 + 0.423125i \(0.139067\pi\)
\(164\) 6.05970 7.22167i 0.473183 0.563918i
\(165\) 13.1876 5.43514i 1.02665 0.423125i
\(166\) 0.645741 0.922214i 0.0501192 0.0715777i
\(167\) 9.37810 1.65361i 0.725699 0.127960i 0.201418 0.979505i \(-0.435445\pi\)
0.524281 + 0.851545i \(0.324334\pi\)
\(168\) −0.708190 1.94574i −0.0546381 0.150117i
\(169\) 17.9907 + 15.0960i 1.38390 + 1.16123i
\(170\) 1.37911 + 10.6207i 0.105773 + 0.814574i
\(171\) 0.754203 + 0.202088i 0.0576754 + 0.0154541i
\(172\) −2.61627 0.952244i −0.199489 0.0726079i
\(173\) 0.701650 + 1.00206i 0.0533455 + 0.0761852i 0.844939 0.534863i \(-0.179637\pi\)
−0.791593 + 0.611049i \(0.790748\pi\)
\(174\) −0.564529 0.325931i −0.0427969 0.0247088i
\(175\) −1.13341 + 6.29735i −0.0856776 + 0.476035i
\(176\) 1.34838 + 3.70464i 0.101638 + 0.279248i
\(177\) 2.93630 5.08582i 0.220706 0.382274i
\(178\) 0.631704 7.22041i 0.0473482 0.541193i
\(179\) −18.1863 + 18.1863i −1.35931 + 1.35931i −0.484531 + 0.874774i \(0.661010\pi\)
−0.874774 + 0.484531i \(0.838990\pi\)
\(180\) 0.853216 + 0.0387665i 0.0635950 + 0.00288948i
\(181\) 9.85348 + 3.58637i 0.732403 + 0.266573i 0.681182 0.732114i \(-0.261466\pi\)
0.0512214 + 0.998687i \(0.483689\pi\)
\(182\) 6.33189 + 4.43364i 0.469351 + 0.328643i
\(183\) −2.24803 + 12.7492i −0.166179 + 0.942450i
\(184\) −5.22717 −0.385352
\(185\) −13.5970 + 0.348229i −0.999672 + 0.0256023i
\(186\) 8.61424 0.631626
\(187\) −3.27892 + 18.5957i −0.239779 + 1.35985i
\(188\) 9.16291 + 6.41594i 0.668274 + 0.467931i
\(189\) −6.58041 2.39507i −0.478654 0.174216i
\(190\) −3.37553 + 3.08212i −0.244887 + 0.223601i
\(191\) 18.1718 18.1718i 1.31487 1.31487i 0.397088 0.917781i \(-0.370021\pi\)
0.917781 0.397088i \(-0.129979\pi\)
\(192\) 0.141021 1.61188i 0.0101773 0.116327i
\(193\) 12.1273 21.0051i 0.872940 1.51198i 0.0139996 0.999902i \(-0.495544\pi\)
0.858941 0.512075i \(-0.171123\pi\)
\(194\) 3.93178 + 10.8025i 0.282285 + 0.775572i
\(195\) 18.4523 11.7095i 1.32139 0.838534i
\(196\) −4.64393 2.68118i −0.331709 0.191513i
\(197\) 8.38502 + 11.9750i 0.597408 + 0.853187i 0.998009 0.0630654i \(-0.0200877\pi\)
−0.400601 + 0.916252i \(0.631199\pi\)
\(198\) 1.41504 + 0.515032i 0.100562 + 0.0366017i
\(199\) −13.2005 3.53705i −0.935756 0.250735i −0.241448 0.970414i \(-0.577622\pi\)
−0.694307 + 0.719679i \(0.744289\pi\)
\(200\) −2.88237 + 4.08558i −0.203815 + 0.288894i
\(201\) 3.08028 + 2.58466i 0.217266 + 0.182308i
\(202\) −3.16283 8.68982i −0.222536 0.611413i
\(203\) 0.507727 0.0895259i 0.0356354 0.00628349i
\(204\) 4.44508 6.34824i 0.311218 0.444465i
\(205\) 19.4610 + 8.10141i 1.35921 + 0.565827i
\(206\) 5.33887 6.36262i 0.371977 0.443305i
\(207\) −1.28338 + 1.52948i −0.0892013 + 0.106306i
\(208\) 3.02015 + 5.23106i 0.209410 + 0.362708i
\(209\) −7.30396 + 3.40589i −0.505226 + 0.235591i
\(210\) 3.67823 2.81207i 0.253822 0.194051i
\(211\) −2.87010 + 4.97116i −0.197586 + 0.342229i −0.947745 0.319028i \(-0.896643\pi\)
0.750159 + 0.661257i \(0.229977\pi\)
\(212\) −0.428740 + 1.60008i −0.0294460 + 0.109894i
\(213\) −9.05455 + 19.4175i −0.620407 + 1.33047i
\(214\) −5.28032 19.7064i −0.360955 1.34710i
\(215\) 0.282573 6.21919i 0.0192713 0.424145i
\(216\) −3.86938 3.86938i −0.263278 0.263278i
\(217\) −5.21907 + 4.37932i −0.354294 + 0.297288i
\(218\) 5.52659 + 11.8518i 0.374308 + 0.802707i
\(219\) −18.8139 + 3.31740i −1.27133 + 0.224169i
\(220\) −7.00327 + 5.35412i −0.472161 + 0.360975i
\(221\) 28.9307i 1.94609i
\(222\) 7.43566 + 6.44812i 0.499049 + 0.432770i
\(223\) 2.58267 + 2.58267i 0.172948 + 0.172948i 0.788273 0.615325i \(-0.210975\pi\)
−0.615325 + 0.788273i \(0.710975\pi\)
\(224\) 0.734009 + 1.04827i 0.0490431 + 0.0700408i
\(225\) 0.487759 + 1.84648i 0.0325173 + 0.123099i
\(226\) 5.68961 15.6321i 0.378467 1.03983i
\(227\) 1.31623 + 1.56862i 0.0873613 + 0.104113i 0.807954 0.589245i \(-0.200575\pi\)
−0.720593 + 0.693358i \(0.756130\pi\)
\(228\) 3.30758 0.219050
\(229\) 7.29459 + 8.69336i 0.482040 + 0.574473i 0.951174 0.308654i \(-0.0998784\pi\)
−0.469134 + 0.883127i \(0.655434\pi\)
\(230\) −3.49499 11.1535i −0.230453 0.735443i
\(231\) 7.67086 2.79197i 0.504706 0.183698i
\(232\) 0.389145 + 0.104271i 0.0255486 + 0.00684574i
\(233\) −4.06029 15.1532i −0.265998 0.992720i −0.961636 0.274327i \(-0.911545\pi\)
0.695638 0.718393i \(-0.255122\pi\)
\(234\) 2.27212 + 0.400637i 0.148533 + 0.0261904i
\(235\) −7.56359 + 23.8413i −0.493394 + 1.55524i
\(236\) −0.939375 + 3.50579i −0.0611481 + 0.228208i
\(237\) −9.31035 7.81231i −0.604772 0.507464i
\(238\) 0.534204 + 6.10598i 0.0346273 + 0.395792i
\(239\) 5.61905 + 2.62021i 0.363466 + 0.169487i 0.595768 0.803157i \(-0.296848\pi\)
−0.232302 + 0.972644i \(0.574626\pi\)
\(240\) 3.53366 0.776829i 0.228096 0.0501441i
\(241\) 1.03121 + 0.722062i 0.0664262 + 0.0465121i 0.606318 0.795222i \(-0.292646\pi\)
−0.539892 + 0.841734i \(0.681535\pi\)
\(242\) −4.26854 + 1.55362i −0.274392 + 0.0998706i
\(243\) −3.92924 + 0.343764i −0.252061 + 0.0220525i
\(244\) −0.697334 7.97056i −0.0446422 0.510263i
\(245\) 2.61597 11.7017i 0.167128 0.747597i
\(246\) −6.44644 13.8244i −0.411010 0.881413i
\(247\) −10.1145 + 7.08227i −0.643572 + 0.450634i
\(248\) −5.14248 + 1.37792i −0.326548 + 0.0874982i
\(249\) −0.910804 1.57756i −0.0577199 0.0999737i
\(250\) −10.6449 3.41860i −0.673240 0.216212i
\(251\) 2.93560 0.786590i 0.185293 0.0496491i −0.164979 0.986297i \(-0.552756\pi\)
0.350272 + 0.936648i \(0.386089\pi\)
\(252\) 0.486941 + 0.0426018i 0.0306744 + 0.00268366i
\(253\) 20.6076i 1.29559i
\(254\) 0.291957 3.33709i 0.0183190 0.209388i
\(255\) 16.5177 + 5.24020i 1.03438 + 0.328154i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) 23.7079 + 4.18035i 1.47886 + 0.260763i 0.854122 0.520072i \(-0.174095\pi\)
0.624737 + 0.780835i \(0.285206\pi\)
\(258\) −3.18544 + 3.18544i −0.198317 + 0.198317i
\(259\) −7.78312 0.126541i −0.483620 0.00786285i
\(260\) −9.14250 + 9.94188i −0.566994 + 0.616569i
\(261\) 0.126053 0.0882635i 0.00780251 0.00546338i
\(262\) 0.117188 0.167361i 0.00723988 0.0103396i
\(263\) −15.7982 + 7.36682i −0.974158 + 0.454258i −0.843476 0.537167i \(-0.819495\pi\)
−0.130682 + 0.991424i \(0.541717\pi\)
\(264\) 6.35466 + 0.555961i 0.391102 + 0.0342170i
\(265\) −3.70086 + 0.155016i −0.227342 + 0.00952256i
\(266\) −2.00395 + 1.68151i −0.122870 + 0.103100i
\(267\) −10.1563 5.86375i −0.621557 0.358856i
\(268\) −2.25229 1.05026i −0.137580 0.0641547i
\(269\) 3.77255 2.17808i 0.230016 0.132800i −0.380563 0.924755i \(-0.624270\pi\)
0.610580 + 0.791955i \(0.290937\pi\)
\(270\) 5.66920 10.8435i 0.345017 0.659914i
\(271\) −1.69273 + 9.59993i −0.102826 + 0.583154i 0.889241 + 0.457440i \(0.151233\pi\)
−0.992066 + 0.125714i \(0.959878\pi\)
\(272\) −1.63815 + 4.50077i −0.0993271 + 0.272899i
\(273\) 10.8315 6.25355i 0.655551 0.378482i
\(274\) 2.62511 0.229668i 0.158589 0.0138747i
\(275\) −16.1070 11.3635i −0.971286 0.685242i
\(276\) −3.57440 + 7.66532i −0.215153 + 0.461398i
\(277\) −3.38076 19.1733i −0.203130 1.15201i −0.900355 0.435156i \(-0.856693\pi\)
0.697225 0.716853i \(-0.254418\pi\)
\(278\) −0.660109 3.74366i −0.0395907 0.224530i
\(279\) −0.859407 + 1.84301i −0.0514514 + 0.110338i
\(280\) −1.74600 + 2.26710i −0.104343 + 0.135485i
\(281\) −28.8790 + 2.52659i −1.72278 + 0.150723i −0.905169 0.425052i \(-0.860256\pi\)
−0.817608 + 0.575775i \(0.804700\pi\)
\(282\) 15.6743 9.04955i 0.933390 0.538893i
\(283\) 7.97505 21.9113i 0.474067 1.30249i −0.440390 0.897807i \(-0.645160\pi\)
0.914457 0.404683i \(-0.132618\pi\)
\(284\) 2.29933 13.0401i 0.136440 0.773790i
\(285\) 2.21152 + 7.05760i 0.130999 + 0.418056i
\(286\) −20.6229 + 11.9066i −1.21946 + 0.704054i
\(287\) 10.9338 + 5.09850i 0.645400 + 0.300955i
\(288\) 0.330790 + 0.190982i 0.0194920 + 0.0112537i
\(289\) −4.55063 + 3.81843i −0.267684 + 0.224613i
\(290\) 0.0377004 + 0.900062i 0.00221385 + 0.0528535i
\(291\) 18.5297 + 1.62114i 1.08623 + 0.0950330i
\(292\) 10.7008 4.98985i 0.626216 0.292009i
\(293\) 14.8489 21.2065i 0.867483 1.23889i −0.102258 0.994758i \(-0.532607\pi\)
0.969741 0.244136i \(-0.0785044\pi\)
\(294\) −7.10735 + 4.97662i −0.414509 + 0.290242i
\(295\) −8.10862 + 0.339642i −0.472102 + 0.0197747i
\(296\) −5.47034 2.65996i −0.317957 0.154607i
\(297\) 15.2546 15.2546i 0.885164 0.885164i
\(298\) −10.1967 1.79796i −0.590681 0.104153i
\(299\) −5.48271 31.0940i −0.317074 1.79821i
\(300\) 4.02024 + 7.02058i 0.232109 + 0.405333i
\(301\) 0.310529 3.54937i 0.0178986 0.204582i
\(302\) 5.47193i 0.314874i
\(303\) −14.9059 1.30409i −0.856319 0.0749182i
\(304\) −1.97454 + 0.529077i −0.113248 + 0.0303447i
\(305\) 16.5410 6.81723i 0.947137 0.390353i
\(306\) 0.914729 + 1.58436i 0.0522916 + 0.0905717i
\(307\) −16.6422 + 4.45927i −0.949822 + 0.254504i −0.700287 0.713862i \(-0.746944\pi\)
−0.249535 + 0.968366i \(0.580278\pi\)
\(308\) −4.13271 + 2.89376i −0.235483 + 0.164887i
\(309\) −5.67961 12.1800i −0.323101 0.692893i
\(310\) −6.37853 10.0515i −0.362276 0.570889i
\(311\) −0.515417 5.89125i −0.0292266 0.334062i −0.996705 0.0811091i \(-0.974154\pi\)
0.967479 0.252953i \(-0.0814018\pi\)
\(312\) 9.73623 0.851810i 0.551205 0.0482242i
\(313\) 19.2310 6.99950i 1.08700 0.395635i 0.264490 0.964388i \(-0.414796\pi\)
0.822508 + 0.568753i \(0.192574\pi\)
\(314\) 9.39772 + 6.58036i 0.530344 + 0.371351i
\(315\) 0.234677 + 1.06750i 0.0132225 + 0.0601469i
\(316\) 6.80769 + 3.17448i 0.382963 + 0.178578i
\(317\) −1.34000 15.3163i −0.0752621 0.860250i −0.936183 0.351512i \(-0.885668\pi\)
0.860921 0.508738i \(-0.169888\pi\)
\(318\) 2.05324 + 1.72287i 0.115140 + 0.0966140i
\(319\) −0.411078 + 1.53417i −0.0230160 + 0.0858968i
\(320\) −1.98524 + 1.02899i −0.110978 + 0.0575221i
\(321\) −32.5090 5.73221i −1.81447 0.319941i
\(322\) −1.73130 6.46131i −0.0964818 0.360075i
\(323\) −9.45730 2.53408i −0.526218 0.141000i
\(324\) −7.24335 + 2.63636i −0.402408 + 0.146465i
\(325\) −27.3265 12.8606i −1.51580 0.713377i
\(326\) 4.23916 + 5.05203i 0.234785 + 0.279806i
\(327\) 21.1591 1.17010
\(328\) 6.05970 + 7.22167i 0.334591 + 0.398750i
\(329\) −4.89588 + 13.4513i −0.269919 + 0.741596i
\(330\) 3.06257 + 13.9311i 0.168589 + 0.766880i
\(331\) −0.947156 1.35268i −0.0520604 0.0743500i 0.792278 0.610160i \(-0.208895\pi\)
−0.844338 + 0.535810i \(0.820006\pi\)
\(332\) 0.796071 + 0.796071i 0.0436901 + 0.0436901i
\(333\) −2.12139 + 0.947548i −0.116252 + 0.0519253i
\(334\) 9.52278i 0.521063i
\(335\) 0.735078 5.50807i 0.0401616 0.300938i
\(336\) 2.03915 0.359558i 0.111245 0.0196155i
\(337\) 11.4429 + 24.5394i 0.623336 + 1.33675i 0.923771 + 0.382946i \(0.125090\pi\)
−0.300435 + 0.953802i \(0.597132\pi\)
\(338\) −17.9907 + 15.0960i −0.978568 + 0.821116i
\(339\) −19.0328 19.0328i −1.03372 1.03372i
\(340\) −10.6989 0.486110i −0.580228 0.0263630i
\(341\) −5.43232 20.2737i −0.294177 1.09788i
\(342\) −0.329984 + 0.707653i −0.0178435 + 0.0382655i
\(343\) 4.09456 15.2811i 0.221086 0.825103i
\(344\) 1.39209 2.41117i 0.0750563 0.130001i
\(345\) −18.7459 2.50173i −1.00925 0.134689i
\(346\) −1.10868 + 0.516984i −0.0596028 + 0.0277933i
\(347\) 11.5247 + 19.9613i 0.618676 + 1.07158i 0.989728 + 0.142966i \(0.0456641\pi\)
−0.371051 + 0.928612i \(0.621003\pi\)
\(348\) 0.419009 0.499356i 0.0224612 0.0267683i
\(349\) −15.9676 + 19.0294i −0.854724 + 1.01862i 0.144850 + 0.989454i \(0.453730\pi\)
−0.999575 + 0.0291673i \(0.990714\pi\)
\(350\) −6.00486 2.20971i −0.320973 0.118114i
\(351\) 18.9586 27.0757i 1.01194 1.44519i
\(352\) −3.88250 + 0.684590i −0.206938 + 0.0364888i
\(353\) 7.44346 + 20.4507i 0.396175 + 1.08848i 0.964132 + 0.265424i \(0.0855120\pi\)
−0.567956 + 0.823059i \(0.692266\pi\)
\(354\) 4.49867 + 3.77484i 0.239102 + 0.200630i
\(355\) 29.3619 3.81268i 1.55837 0.202356i
\(356\) 7.00103 + 1.87592i 0.371054 + 0.0994235i
\(357\) 9.31933 + 3.39196i 0.493231 + 0.179521i
\(358\) −14.7520 21.0680i −0.779665 1.11348i
\(359\) 14.0362 + 8.10380i 0.740802 + 0.427702i 0.822361 0.568966i \(-0.192656\pi\)
−0.0815586 + 0.996669i \(0.525990\pi\)
\(360\) −0.186337 + 0.833522i −0.00982082 + 0.0439305i
\(361\) 5.06917 + 13.9274i 0.266798 + 0.733023i
\(362\) −5.24293 + 9.08101i −0.275562 + 0.477287i
\(363\) −0.640586 + 7.32193i −0.0336220 + 0.384302i
\(364\) −5.46580 + 5.46580i −0.286486 + 0.286486i
\(365\) 17.8019 + 19.4966i 0.931795 + 1.02050i
\(366\) −12.1652 4.42776i −0.635884 0.231443i
\(367\) −4.92113 3.44581i −0.256881 0.179870i 0.438041 0.898955i \(-0.355672\pi\)
−0.694922 + 0.719085i \(0.744561\pi\)
\(368\) 0.907689 5.14776i 0.0473165 0.268345i
\(369\) 3.60085 0.187453
\(370\) 2.01816 13.4509i 0.104919 0.699280i
\(371\) −2.11987 −0.110058
\(372\) −1.49585 + 8.48337i −0.0775560 + 0.439842i
\(373\) 10.3400 + 7.24014i 0.535385 + 0.374880i 0.809777 0.586737i \(-0.199588\pi\)
−0.274393 + 0.961618i \(0.588477\pi\)
\(374\) −17.7438 6.45822i −0.917510 0.333946i
\(375\) −12.2922 + 13.2723i −0.634769 + 0.685381i
\(376\) −7.90959 + 7.90959i −0.407906 + 0.407906i
\(377\) −0.212091 + 2.42421i −0.0109233 + 0.124853i
\(378\) 3.50136 6.06454i 0.180091 0.311926i
\(379\) −5.14274 14.1296i −0.264165 0.725787i −0.998876 0.0474065i \(-0.984904\pi\)
0.734711 0.678380i \(-0.237318\pi\)
\(380\) −2.44914 3.85946i −0.125638 0.197986i
\(381\) −4.69399 2.71008i −0.240480 0.138841i
\(382\) 14.7403 + 21.0513i 0.754177 + 1.07708i
\(383\) 14.8548 + 5.40670i 0.759044 + 0.276269i 0.692406 0.721508i \(-0.256551\pi\)
0.0666375 + 0.997777i \(0.478773\pi\)
\(384\) 1.56290 + 0.418778i 0.0797565 + 0.0213707i
\(385\) −8.93781 6.88341i −0.455513 0.350811i
\(386\) 18.5801 + 15.5905i 0.945700 + 0.793537i
\(387\) −0.363722 0.999319i −0.0184891 0.0507982i
\(388\) −11.3211 + 1.99622i −0.574742 + 0.101342i
\(389\) 3.38017 4.82738i 0.171381 0.244758i −0.724268 0.689518i \(-0.757822\pi\)
0.895650 + 0.444761i \(0.146711\pi\)
\(390\) 8.32740 + 20.2053i 0.421674 + 1.02313i
\(391\) 16.0929 19.1788i 0.813854 0.969913i
\(392\) 3.44685 4.10780i 0.174092 0.207475i
\(393\) −0.165291 0.286292i −0.00833781 0.0144415i
\(394\) −13.2492 + 6.17819i −0.667483 + 0.311253i
\(395\) −2.22183 + 16.6485i −0.111792 + 0.837678i
\(396\) −0.752926 + 1.30411i −0.0378359 + 0.0655338i
\(397\) −1.93939 + 7.23788i −0.0973350 + 0.363259i −0.997363 0.0725727i \(-0.976879\pi\)
0.900028 + 0.435832i \(0.143546\pi\)
\(398\) 5.77555 12.3857i 0.289502 0.620840i
\(399\) 1.09551 + 4.08851i 0.0548442 + 0.204681i
\(400\) −3.52299 3.54804i −0.176149 0.177402i
\(401\) 6.01370 + 6.01370i 0.300310 + 0.300310i 0.841135 0.540825i \(-0.181888\pi\)
−0.540825 + 0.841135i \(0.681888\pi\)
\(402\) −3.08028 + 2.58466i −0.153630 + 0.128911i
\(403\) −13.5905 29.1449i −0.676992 1.45181i
\(404\) 9.10702 1.60581i 0.453091 0.0798922i
\(405\) −10.4684 13.6929i −0.520180 0.680404i
\(406\) 0.515559i 0.0255868i
\(407\) 10.4866 21.5662i 0.519803 1.06900i
\(408\) 5.47991 + 5.47991i 0.271296 + 0.271296i
\(409\) 1.86132 + 2.65824i 0.0920364 + 0.131442i 0.862530 0.506007i \(-0.168879\pi\)
−0.770493 + 0.637448i \(0.779990\pi\)
\(410\) −11.3577 + 17.7585i −0.560917 + 0.877031i
\(411\) 1.45829 4.00662i 0.0719321 0.197632i
\(412\) 5.33887 + 6.36262i 0.263027 + 0.313464i
\(413\) −4.64465 −0.228548
\(414\) −1.28338 1.52948i −0.0630748 0.0751696i
\(415\) −1.16636 + 2.23090i −0.0572543 + 0.109510i
\(416\) −5.67603 + 2.06591i −0.278290 + 0.101289i
\(417\) −5.94124 1.59195i −0.290944 0.0779581i
\(418\) −2.08583 7.78443i −0.102021 0.380749i
\(419\) −33.7571 5.95229i −1.64914 0.290788i −0.729629 0.683844i \(-0.760307\pi\)
−0.919515 + 0.393055i \(0.871418\pi\)
\(420\) 2.13063 + 4.11066i 0.103964 + 0.200580i
\(421\) −5.37692 + 20.0669i −0.262055 + 0.978003i 0.701973 + 0.712203i \(0.252303\pi\)
−0.964028 + 0.265800i \(0.914364\pi\)
\(422\) −4.39725 3.68973i −0.214055 0.179613i
\(423\) 0.372381 + 4.25633i 0.0181058 + 0.206950i
\(424\) −1.50132 0.700078i −0.0729107 0.0339988i
\(425\) −6.11624 23.1539i −0.296681 1.12313i
\(426\) −17.5502 12.2888i −0.850312 0.595395i
\(427\) 9.62146 3.50192i 0.465615 0.169470i
\(428\) 20.3239 1.77811i 0.982395 0.0859484i
\(429\) 3.35817 + 38.3841i 0.162134 + 1.85320i
\(430\) 6.07564 + 1.35823i 0.292993 + 0.0654997i
\(431\) −4.62563 9.91969i −0.222809 0.477815i 0.762848 0.646578i \(-0.223800\pi\)
−0.985657 + 0.168763i \(0.946023\pi\)
\(432\) 4.48251 3.13869i 0.215665 0.151010i
\(433\) −20.1902 + 5.40994i −0.970278 + 0.259985i −0.708945 0.705263i \(-0.750829\pi\)
−0.261333 + 0.965249i \(0.584162\pi\)
\(434\) −3.40651 5.90024i −0.163518 0.283221i
\(435\) 1.34566 + 0.560187i 0.0645197 + 0.0268589i
\(436\) −12.6314 + 3.38459i −0.604937 + 0.162092i
\(437\) 10.6447 + 0.931291i 0.509205 + 0.0445497i
\(438\) 19.1041i 0.912831i
\(439\) 0.502610 5.74486i 0.0239883 0.274187i −0.974722 0.223420i \(-0.928278\pi\)
0.998711 0.0507672i \(-0.0161666\pi\)
\(440\) −4.05667 7.82661i −0.193394 0.373119i
\(441\) −0.355670 2.01711i −0.0169367 0.0960527i
\(442\) −28.4912 5.02377i −1.35519 0.238956i
\(443\) 20.1403 20.1403i 0.956894 0.956894i −0.0422149 0.999109i \(-0.513441\pi\)
0.999109 + 0.0422149i \(0.0134414\pi\)
\(444\) −7.64135 + 6.20299i −0.362642 + 0.294381i
\(445\) 0.678260 + 16.1928i 0.0321526 + 0.767613i
\(446\) −2.99191 + 2.09496i −0.141671 + 0.0991990i
\(447\) −9.60923 + 13.7234i −0.454501 + 0.649095i
\(448\) −1.15981 + 0.540827i −0.0547958 + 0.0255517i
\(449\) 4.41426 + 0.386198i 0.208322 + 0.0182258i 0.190839 0.981621i \(-0.438879\pi\)
0.0174830 + 0.999847i \(0.494435\pi\)
\(450\) −1.90313 + 0.159711i −0.0897143 + 0.00752884i
\(451\) −28.4707 + 23.8897i −1.34063 + 1.12492i
\(452\) 14.4066 + 8.31765i 0.677629 + 0.391229i
\(453\) 8.02424 + 3.74177i 0.377012 + 0.175804i
\(454\) −1.77335 + 1.02385i −0.0832276 + 0.0480515i
\(455\) −15.3173 8.00818i −0.718085 0.375430i
\(456\) −0.574356 + 3.25733i −0.0268967 + 0.152539i
\(457\) −1.76514 + 4.84967i −0.0825696 + 0.226858i −0.974106 0.226090i \(-0.927406\pi\)
0.891537 + 0.452948i \(0.149628\pi\)
\(458\) −9.82798 + 5.67419i −0.459231 + 0.265137i
\(459\) 26.1097 2.28430i 1.21870 0.106622i
\(460\) 11.5910 1.50510i 0.540433 0.0701758i
\(461\) 0.926201 1.98624i 0.0431375 0.0925086i −0.883558 0.468322i \(-0.844859\pi\)
0.926695 + 0.375813i \(0.122637\pi\)
\(462\) 1.41752 + 8.03915i 0.0659489 + 0.374015i
\(463\) −5.98262 33.9291i −0.278036 1.57682i −0.729150 0.684354i \(-0.760084\pi\)
0.451114 0.892466i \(-0.351027\pi\)
\(464\) −0.170261 + 0.365127i −0.00790419 + 0.0169506i
\(465\) −19.1017 + 2.48037i −0.885818 + 0.115024i
\(466\) 15.6281 1.36728i 0.723956 0.0633379i
\(467\) 10.3157 5.95576i 0.477353 0.275600i −0.241960 0.970286i \(-0.577790\pi\)
0.719313 + 0.694687i \(0.244457\pi\)
\(468\) −0.789100 + 2.16804i −0.0364762 + 0.100217i
\(469\) 0.552241 3.13191i 0.0255001 0.144618i
\(470\) −22.1657 11.5887i −1.02243 0.534546i
\(471\) 16.0760 9.28145i 0.740741 0.427667i
\(472\) −3.28941 1.53388i −0.151408 0.0706025i
\(473\) 9.50577 + 5.48816i 0.437076 + 0.252346i
\(474\) 9.31035 7.81231i 0.427638 0.358831i
\(475\) 6.59762 7.80641i 0.302719 0.358182i
\(476\) −6.10598 0.534204i −0.279867 0.0244852i
\(477\) −0.573450 + 0.267404i −0.0262565 + 0.0122436i
\(478\) −3.55614 + 5.07869i −0.162654 + 0.232294i
\(479\) 22.2971 15.6126i 1.01878 0.713359i 0.0602036 0.998186i \(-0.480825\pi\)
0.958579 + 0.284827i \(0.0919361\pi\)
\(480\) 0.151414 + 3.61487i 0.00691107 + 0.164995i
\(481\) 10.0851 35.3305i 0.459842 1.61093i
\(482\) −0.890160 + 0.890160i −0.0405457 + 0.0405457i
\(483\) −10.6590 1.87947i −0.485001 0.0855188i
\(484\) −0.788794 4.47348i −0.0358543 0.203340i
\(485\) −11.8290 22.8218i −0.537126 1.03629i
\(486\) 0.343764 3.92924i 0.0155934 0.178234i
\(487\) 41.2250i 1.86808i 0.357167 + 0.934041i \(0.383743\pi\)
−0.357167 + 0.934041i \(0.616257\pi\)
\(488\) 7.97056 + 0.697334i 0.360810 + 0.0315668i
\(489\) 10.3073 2.76182i 0.466111 0.124894i
\(490\) 11.0697 + 4.60821i 0.500078 + 0.208178i
\(491\) −12.9694 22.4637i −0.585301 1.01377i −0.994838 0.101477i \(-0.967643\pi\)
0.409537 0.912293i \(-0.365690\pi\)
\(492\) 14.7338 3.94791i 0.664252 0.177986i
\(493\) −1.58064 + 1.10678i −0.0711885 + 0.0498467i
\(494\) −5.21831 11.1907i −0.234783 0.503493i
\(495\) −3.28607 0.734614i −0.147698 0.0330184i
\(496\) −0.464007 5.30363i −0.0208345 0.238140i
\(497\) 16.8805 1.47685i 0.757194 0.0662459i
\(498\) 1.71175 0.623027i 0.0767054 0.0279185i
\(499\) 31.9225 + 22.3524i 1.42905 + 1.00063i 0.995014 + 0.0997312i \(0.0317983\pi\)
0.434032 + 0.900898i \(0.357091\pi\)
\(500\) 5.21513 9.88951i 0.233228 0.442272i
\(501\) 13.9646 + 6.51178i 0.623890 + 0.290925i
\(502\) 0.264880 + 3.02759i 0.0118222 + 0.135128i
\(503\) 29.5561 + 24.8005i 1.31784 + 1.10580i 0.986758 + 0.162200i \(0.0518591\pi\)
0.331085 + 0.943601i \(0.392585\pi\)
\(504\) −0.126511 + 0.472146i −0.00563525 + 0.0210310i
\(505\) 9.51556 + 18.3585i 0.423437 + 0.816945i
\(506\) 20.2945 + 3.57847i 0.902201 + 0.159082i
\(507\) 9.83511 + 36.7051i 0.436793 + 1.63013i
\(508\) 3.23569 + 0.867001i 0.143561 + 0.0384670i
\(509\) −21.5189 + 7.83224i −0.953809 + 0.347158i −0.771605 0.636103i \(-0.780546\pi\)
−0.182205 + 0.983261i \(0.558323\pi\)
\(510\) −8.02886 + 15.3568i −0.355524 + 0.680011i
\(511\) 9.71220 + 11.5745i 0.429642 + 0.512028i
\(512\) −1.00000 −0.0441942
\(513\) 7.19030 + 8.56907i 0.317459 + 0.378333i
\(514\) −8.23368 + 22.6218i −0.363172 + 0.997807i
\(515\) −10.0067 + 15.6461i −0.440946 + 0.689448i
\(516\) −2.58390 3.69019i −0.113750 0.162452i
\(517\) −31.1827 31.1827i −1.37142 1.37142i
\(518\) 1.47614 7.64290i 0.0648580 0.335810i
\(519\) 1.97932i 0.0868827i
\(520\) −8.20326 10.7300i −0.359737 0.470541i
\(521\) 17.4057 3.06910i 0.762560 0.134460i 0.221174 0.975234i \(-0.429011\pi\)
0.541385 + 0.840775i \(0.317900\pi\)
\(522\) 0.0650337 + 0.139465i 0.00284645 + 0.00610422i
\(523\) 3.36657 2.82489i 0.147210 0.123524i −0.566209 0.824262i \(-0.691590\pi\)
0.713419 + 0.700738i \(0.247146\pi\)
\(524\) 0.144469 + 0.144469i 0.00631117 + 0.00631117i
\(525\) −7.34660 + 7.29473i −0.320632 + 0.318368i
\(526\) −4.51157 16.8374i −0.196714 0.734146i
\(527\) 10.7765 23.1103i 0.469432 1.00670i
\(528\) −1.65099 + 6.16158i −0.0718501 + 0.268148i
\(529\) −2.16166 + 3.74410i −0.0939852 + 0.162787i
\(530\) 0.489987 3.67155i 0.0212837 0.159482i
\(531\) −1.25644 + 0.585886i −0.0545247 + 0.0254253i
\(532\) −1.30799 2.26550i −0.0567084 0.0982218i
\(533\) −36.6024 + 43.6211i −1.58543 + 1.88944i
\(534\) 7.53830 8.98379i 0.326214 0.388767i
\(535\) 17.3831 + 42.1776i 0.751536 + 1.82350i
\(536\) 1.42541 2.03569i 0.0615682 0.0879286i
\(537\) −40.9824 + 7.22631i −1.76852 + 0.311838i
\(538\) 1.48990 + 4.09345i 0.0642340 + 0.176481i
\(539\) 16.1946 + 13.5889i 0.697550 + 0.585314i
\(540\) 9.69431 + 7.46603i 0.417177 + 0.321287i
\(541\) −27.9571 7.49109i −1.20197 0.322067i −0.398364 0.917227i \(-0.630422\pi\)
−0.803607 + 0.595160i \(0.797089\pi\)
\(542\) −9.16014 3.33402i −0.393462 0.143208i
\(543\) 9.73157 + 13.8981i 0.417622 + 0.596425i
\(544\) −4.14793 2.39481i −0.177841 0.102677i
\(545\) −15.6675 24.6895i −0.671124 1.05758i
\(546\) 4.27768 + 11.7528i 0.183068 + 0.502975i
\(547\) 11.6040 20.0987i 0.496151 0.859359i −0.503839 0.863798i \(-0.668080\pi\)
0.999990 + 0.00443859i \(0.00141285\pi\)
\(548\) −0.229668 + 2.62511i −0.00981092 + 0.112139i
\(549\) 2.16098 2.16098i 0.0922286 0.0922286i
\(550\) 13.9878 13.8890i 0.596440 0.592229i
\(551\) −0.773885 0.281671i −0.0329686 0.0119996i
\(552\) −6.92818 4.85116i −0.294883 0.206479i
\(553\) −1.66919 + 9.46642i −0.0709810 + 0.402553i
\(554\) 19.4690 0.827160
\(555\) −18.3449 12.1574i −0.778697 0.516052i
\(556\) 3.80141 0.161216
\(557\) −1.77002 + 10.0383i −0.0749980 + 0.425335i 0.924072 + 0.382218i \(0.124840\pi\)
−0.999070 + 0.0431166i \(0.986271\pi\)
\(558\) −1.66577 1.16639i −0.0705177 0.0493770i
\(559\) 15.8031 + 5.75184i 0.668398 + 0.243277i
\(560\) −1.92947 2.11315i −0.0815349 0.0892968i
\(561\) −21.6040 + 21.6040i −0.912121 + 0.912121i
\(562\) 2.52659 28.8790i 0.106578 1.21819i
\(563\) 18.2648 31.6355i 0.769768 1.33328i −0.167921 0.985801i \(-0.553705\pi\)
0.937689 0.347477i \(-0.112961\pi\)
\(564\) 6.19026 + 17.0076i 0.260657 + 0.716149i
\(565\) −8.11536 + 36.3016i −0.341416 + 1.52722i
\(566\) 20.1935 + 11.6587i 0.848798 + 0.490053i
\(567\) −5.65790 8.08032i −0.237610 0.339342i
\(568\) 12.4428 + 4.52879i 0.522086 + 0.190024i
\(569\) −21.4051 5.73548i −0.897349 0.240444i −0.219472 0.975619i \(-0.570433\pi\)
−0.677878 + 0.735175i \(0.737100\pi\)
\(570\) −7.33440 + 0.952379i −0.307204 + 0.0398908i
\(571\) 18.4239 + 15.4595i 0.771017 + 0.646960i 0.940969 0.338492i \(-0.109917\pi\)
−0.169952 + 0.985452i \(0.554361\pi\)
\(572\) −8.14462 22.3771i −0.340543 0.935636i
\(573\) 40.9499 7.22058i 1.71071 0.301644i
\(574\) −6.91967 + 9.88231i −0.288821 + 0.412480i
\(575\) 10.9615 + 23.7261i 0.457127 + 0.989447i
\(576\) −0.245521 + 0.292601i −0.0102301 + 0.0121917i
\(577\) −1.72814 + 2.05952i −0.0719436 + 0.0857390i −0.800816 0.598911i \(-0.795600\pi\)
0.728872 + 0.684650i \(0.240045\pi\)
\(578\) −2.97021 5.14455i −0.123544 0.213985i
\(579\) 35.5678 16.5855i 1.47815 0.689271i
\(580\) −0.892935 0.119166i −0.0370771 0.00494812i
\(581\) −0.720356 + 1.24769i −0.0298854 + 0.0517631i
\(582\) −4.81417 + 17.9667i −0.199554 + 0.744744i
\(583\) 2.75999 5.91881i 0.114307 0.245132i
\(584\) 3.05588 + 11.4047i 0.126453 + 0.471929i
\(585\) −5.15368 0.234161i −0.213079 0.00968137i
\(586\) 18.3058 + 18.3058i 0.756205 + 0.756205i
\(587\) 20.9025 17.5393i 0.862739 0.723924i −0.0998170 0.995006i \(-0.531826\pi\)
0.962556 + 0.271082i \(0.0873813\pi\)
\(588\) −3.66684 7.86355i −0.151218 0.324287i
\(589\) 10.7177 1.88983i 0.441617 0.0778689i
\(590\) 1.07357 8.04441i 0.0441980 0.331183i
\(591\) 23.6538i 0.972987i
\(592\) 3.56947 4.92533i 0.146704 0.202430i
\(593\) 1.71172 + 1.71172i 0.0702919 + 0.0702919i 0.741379 0.671087i \(-0.234172\pi\)
−0.671087 + 0.741379i \(0.734172\pi\)
\(594\) 12.3739 + 17.6718i 0.507709 + 0.725084i
\(595\) −2.94272 13.3859i −0.120640 0.548768i
\(596\) 3.54129 9.72961i 0.145057 0.398540i
\(597\) −14.2135 16.9390i −0.581719 0.693266i
\(598\) 31.5737 1.29114
\(599\) −3.35056 3.99304i −0.136900 0.163151i 0.693239 0.720708i \(-0.256183\pi\)
−0.830139 + 0.557557i \(0.811739\pi\)
\(600\) −7.61203 + 2.74005i −0.310760 + 0.111862i
\(601\) 7.90700 2.87791i 0.322533 0.117392i −0.175679 0.984447i \(-0.556212\pi\)
0.498212 + 0.867055i \(0.333990\pi\)
\(602\) 3.44152 + 0.922153i 0.140266 + 0.0375842i
\(603\) −0.245678 0.916882i −0.0100048 0.0373383i
\(604\) −5.38880 0.950191i −0.219267 0.0386627i
\(605\) 9.01793 4.67416i 0.366631 0.190032i
\(606\) 3.87266 14.4529i 0.157316 0.587111i
\(607\) 12.6176 + 10.5874i 0.512131 + 0.429729i 0.861878 0.507115i \(-0.169288\pi\)
−0.349747 + 0.936844i \(0.613733\pi\)
\(608\) −0.178163 2.03642i −0.00722548 0.0825877i
\(609\) 0.756035 + 0.352545i 0.0306361 + 0.0142858i
\(610\) 3.84133 + 17.4735i 0.155531 + 0.707483i
\(611\) −55.3468 38.7542i −2.23909 1.56783i
\(612\) −1.71913 + 0.625712i −0.0694917 + 0.0252929i
\(613\) 21.9774 1.92277i 0.887658 0.0776600i 0.365801 0.930693i \(-0.380795\pi\)
0.521857 + 0.853033i \(0.325239\pi\)
\(614\) −1.50163 17.1637i −0.0606009 0.692672i
\(615\) 18.2752 + 28.7988i 0.736929 + 1.16128i
\(616\) −2.13216 4.57242i −0.0859070 0.184228i
\(617\) 1.45640 1.01978i 0.0586326 0.0410550i −0.543893 0.839155i \(-0.683050\pi\)
0.602525 + 0.798100i \(0.294161\pi\)
\(618\) 12.9812 3.47829i 0.522179 0.139917i
\(619\) −0.101262 0.175390i −0.00407005 0.00704953i 0.863983 0.503521i \(-0.167962\pi\)
−0.868053 + 0.496471i \(0.834629\pi\)
\(620\) 11.0064 4.53620i 0.442029 0.182178i
\(621\) −27.6291 + 7.40320i −1.10872 + 0.297080i
\(622\) 5.89125 + 0.515417i 0.236218 + 0.0206664i
\(623\) 9.27531i 0.371607i
\(624\) −0.851810 + 9.73623i −0.0340997 + 0.389761i
\(625\) 24.5888 + 4.51552i 0.983553 + 0.180621i
\(626\) 3.55374 + 20.1543i 0.142036 + 0.805526i
\(627\) −12.8417 2.26434i −0.512848 0.0904289i
\(628\) −8.11228 + 8.11228i −0.323715 + 0.323715i
\(629\) 26.6011 11.8817i 1.06066 0.473756i
\(630\) −1.09204 + 0.0457415i −0.0435077 + 0.00182239i
\(631\) 27.5510 19.2914i 1.09679 0.767979i 0.122316 0.992491i \(-0.460968\pi\)
0.974471 + 0.224512i \(0.0720790\pi\)
\(632\) −4.30839 + 6.15302i −0.171379 + 0.244754i
\(633\) −8.41764 + 3.92521i −0.334571 + 0.156013i
\(634\) 15.3163 + 1.34000i 0.608288 + 0.0532183i
\(635\) 0.313474 + 7.48390i 0.0124398 + 0.296989i
\(636\) −2.05324 + 1.72287i −0.0814163 + 0.0683164i
\(637\) 28.0508 + 16.1951i 1.11141 + 0.641674i
\(638\) −1.43947 0.671238i −0.0569894 0.0265746i
\(639\) 4.38009 2.52885i 0.173274 0.100040i
\(640\) −0.668620 2.13376i −0.0264295 0.0843444i
\(641\) 3.22304 18.2788i 0.127302 0.721968i −0.852611 0.522546i \(-0.824982\pi\)
0.979914 0.199422i \(-0.0639065\pi\)
\(642\) 11.2902 31.0197i 0.445590 1.22425i
\(643\) −34.2109 + 19.7517i −1.34915 + 0.778931i −0.988129 0.153628i \(-0.950904\pi\)
−0.361019 + 0.932558i \(0.617571\pi\)
\(644\) 6.66379 0.583006i 0.262590 0.0229737i
\(645\) 6.14635 7.98077i 0.242012 0.314242i
\(646\) 4.13782 8.87359i 0.162800 0.349127i
\(647\) −4.18903 23.7572i −0.164688 0.933991i −0.949386 0.314113i \(-0.898293\pi\)
0.784698 0.619878i \(-0.212818\pi\)
\(648\) −1.33852 7.59111i −0.0525819 0.298207i
\(649\) 6.04716 12.9682i 0.237372 0.509045i
\(650\) 17.4104 24.6781i 0.682892 0.967955i
\(651\) −10.9817 + 0.960778i −0.430408 + 0.0376559i
\(652\) −5.71140 + 3.29748i −0.223676 + 0.129139i
\(653\) 16.6251 45.6771i 0.650591 1.78748i 0.0350399 0.999386i \(-0.488844\pi\)
0.615551 0.788097i \(-0.288934\pi\)
\(654\) −3.67424 + 20.8376i −0.143674 + 0.814816i
\(655\) −0.211668 + 0.404858i −0.00827056 + 0.0158191i
\(656\) −8.16421 + 4.71361i −0.318759 + 0.184036i
\(657\) 4.08731 + 1.90594i 0.159461 + 0.0743579i
\(658\) −12.3968 7.15730i −0.483278 0.279021i
\(659\) −7.54238 + 6.32881i −0.293809 + 0.246535i −0.777762 0.628559i \(-0.783645\pi\)
0.483953 + 0.875094i \(0.339201\pi\)
\(660\) −14.2512 + 0.596934i −0.554728 + 0.0232356i
\(661\) 22.6546 + 1.98202i 0.881161 + 0.0770916i 0.518749 0.854927i \(-0.326398\pi\)
0.362412 + 0.932018i \(0.381953\pi\)
\(662\) 1.49660 0.697877i 0.0581671 0.0271237i
\(663\) −26.8496 + 38.3453i −1.04275 + 1.48921i
\(664\) −0.922214 + 0.645741i −0.0357888 + 0.0250596i
\(665\) 3.95949 4.30569i 0.153542 0.166968i
\(666\) −0.564776 2.25370i −0.0218846 0.0873293i
\(667\) 1.48909 1.48909i 0.0576577 0.0576577i
\(668\) −9.37810 1.65361i −0.362850 0.0639802i
\(669\) 1.02622 + 5.82000i 0.0396761 + 0.225014i
\(670\) 5.29674 + 1.68038i 0.204631 + 0.0649186i
\(671\) −2.74917 + 31.4231i −0.106130 + 1.21308i
\(672\) 2.07061i 0.0798755i
\(673\) −23.4174 2.04876i −0.902674 0.0789737i −0.373639 0.927574i \(-0.621890\pi\)
−0.529035 + 0.848600i \(0.677446\pi\)
\(674\) −26.1537 + 7.00785i −1.00740 + 0.269932i
\(675\) −9.44892 + 25.6773i −0.363689 + 0.988320i
\(676\) −11.7426 20.3388i −0.451639 0.782262i
\(677\) −41.6036 + 11.1477i −1.59896 + 0.428439i −0.944727 0.327857i \(-0.893674\pi\)
−0.654230 + 0.756296i \(0.727007\pi\)
\(678\) 22.0487 15.4387i 0.846775 0.592918i
\(679\) −6.21721 13.3329i −0.238595 0.511668i
\(680\) 2.33656 10.4519i 0.0896032 0.400813i
\(681\) 0.288768 + 3.30063i 0.0110656 + 0.126480i
\(682\) 20.9090 1.82930i 0.800647 0.0700476i
\(683\) −24.0262 + 8.74483i −0.919338 + 0.334612i −0.757975 0.652284i \(-0.773811\pi\)
−0.161363 + 0.986895i \(0.551589\pi\)
\(684\) −0.639601 0.447853i −0.0244558 0.0171241i
\(685\) −5.75494 + 1.26515i −0.219885 + 0.0483388i
\(686\) 14.3380 + 6.68590i 0.547426 + 0.255269i
\(687\) 1.60036 + 18.2922i 0.0610575 + 0.697890i
\(688\) 2.13280 + 1.78963i 0.0813123 + 0.0682291i
\(689\) 2.58972 9.66497i 0.0986605 0.368206i
\(690\) 5.71891 18.0267i 0.217715 0.686264i
\(691\) −4.94071 0.871181i −0.187954 0.0331413i 0.0788789 0.996884i \(-0.474866\pi\)
−0.266833 + 0.963743i \(0.585977\pi\)
\(692\) −0.316611 1.18161i −0.0120357 0.0449180i
\(693\) −1.86139 0.498757i −0.0707082 0.0189462i
\(694\) −21.6593 + 7.88333i −0.822175 + 0.299247i
\(695\) 2.54170 + 8.11132i 0.0964123 + 0.307680i
\(696\) 0.419009 + 0.499356i 0.0158825 + 0.0189280i
\(697\) −45.1528 −1.71028
\(698\) −15.9676 19.0294i −0.604381 0.720274i
\(699\) 8.68161 23.8525i 0.328369 0.902186i
\(700\) 3.21888 5.52992i 0.121662 0.209011i
\(701\) −9.80159 13.9981i −0.370201 0.528702i 0.590224 0.807239i \(-0.299039\pi\)
−0.960425 + 0.278538i \(0.910150\pi\)
\(702\) 23.3722 + 23.3722i 0.882129 + 0.882129i
\(703\) 10.6660 + 6.39141i 0.402275 + 0.241057i
\(704\) 3.94240i 0.148585i
\(705\) −32.1512 + 24.5802i −1.21089 + 0.925742i
\(706\) −21.4326 + 3.77914i −0.806626 + 0.142230i
\(707\) 5.00131 + 10.7253i 0.188093 + 0.403368i
\(708\) −4.49867 + 3.77484i −0.169071 + 0.141867i
\(709\) −25.7706 25.7706i −0.967836 0.967836i 0.0316629 0.999499i \(-0.489920\pi\)
−0.999499 + 0.0316629i \(0.989920\pi\)
\(710\) −1.34389 + 29.5779i −0.0504354 + 1.11004i
\(711\) 0.742578 + 2.77134i 0.0278489 + 0.103933i
\(712\) −3.06314 + 6.56891i −0.114796 + 0.246180i
\(713\) −7.20264 + 26.8806i −0.269741 + 1.00669i
\(714\) −4.95871 + 8.58874i −0.185575 + 0.321426i
\(715\) 42.3019 32.3405i 1.58200 1.20947i
\(716\) 23.3096 10.8694i 0.871119 0.406210i
\(717\) 5.01586 + 8.68772i 0.187321 + 0.324449i
\(718\) −10.4180 + 12.4157i −0.388798 + 0.463352i
\(719\) −8.09643 + 9.64895i −0.301946 + 0.359845i −0.895588 0.444884i \(-0.853245\pi\)
0.593642 + 0.804729i \(0.297689\pi\)
\(720\) −0.788502 0.328246i −0.0293857 0.0122330i
\(721\) −6.09654 + 8.70677i −0.227047 + 0.324257i
\(722\) −14.5961 + 2.57368i −0.543210 + 0.0957826i
\(723\) 0.696663 + 1.91407i 0.0259092 + 0.0711849i
\(724\) −8.03263 6.74018i −0.298530 0.250497i
\(725\) −0.342761 1.98499i −0.0127298 0.0737206i
\(726\) −7.09946 1.90229i −0.263486 0.0706008i
\(727\) −30.0991 10.9552i −1.11632 0.406306i −0.283009 0.959117i \(-0.591333\pi\)
−0.833306 + 0.552812i \(0.813555\pi\)
\(728\) −4.43364 6.33189i −0.164322 0.234676i
\(729\) −25.5534 14.7533i −0.946424 0.546418i
\(730\) −22.2917 + 14.1459i −0.825052 + 0.523564i
\(731\) 4.56088 + 12.5309i 0.168690 + 0.463473i
\(732\) 6.47295 11.2115i 0.239247 0.414388i
\(733\) −0.589271 + 6.73540i −0.0217652 + 0.248778i 0.977516 + 0.210863i \(0.0676273\pi\)
−0.999281 + 0.0379153i \(0.987928\pi\)
\(734\) 4.24801 4.24801i 0.156797 0.156797i
\(735\) 14.3272 13.0819i 0.528468 0.482533i
\(736\) 4.91193 + 1.78780i 0.181056 + 0.0658991i
\(737\) 8.02551 + 5.61952i 0.295623 + 0.206998i
\(738\) −0.625282 + 3.54615i −0.0230169 + 0.130536i
\(739\) −39.4719 −1.45200 −0.725998 0.687697i \(-0.758622\pi\)
−0.725998 + 0.687697i \(0.758622\pi\)
\(740\) 12.8961 + 4.32322i 0.474071 + 0.158925i
\(741\) −19.9788 −0.733939
\(742\) 0.368111 2.08766i 0.0135138 0.0766405i
\(743\) −3.62457 2.53795i −0.132973 0.0931084i 0.505198 0.863004i \(-0.331420\pi\)
−0.638170 + 0.769895i \(0.720308\pi\)
\(744\) −8.09473 2.94624i −0.296767 0.108014i
\(745\) 23.1285 + 1.05086i 0.847361 + 0.0385004i
\(746\) −8.92567 + 8.92567i −0.326792 + 0.326792i
\(747\) −0.0374787 + 0.428384i −0.00137128 + 0.0156737i
\(748\) 9.44128 16.3528i 0.345207 0.597917i
\(749\) 8.92947 + 24.5335i 0.326276 + 0.896436i
\(750\) −10.9362 14.4102i −0.399333 0.526187i
\(751\) −44.1898 25.5130i −1.61251 0.930983i −0.988786 0.149337i \(-0.952286\pi\)
−0.623723 0.781645i \(-0.714381\pi\)
\(752\) −6.41594 9.16291i −0.233965 0.334137i
\(753\) 4.62089 + 1.68187i 0.168395 + 0.0612907i
\(754\) −2.35056 0.629830i −0.0856022 0.0229370i
\(755\) −1.57558 12.1337i −0.0573412 0.441592i
\(756\) 5.36440 + 4.50127i 0.195101 + 0.163709i
\(757\) −8.01547 22.0223i −0.291327 0.800415i −0.995873 0.0907567i \(-0.971071\pi\)
0.704546 0.709659i \(-0.251151\pi\)
\(758\) 14.8079 2.61104i 0.537848 0.0948372i
\(759\) 19.1252 27.3136i 0.694201 0.991422i
\(760\) 4.22611 1.74175i 0.153297 0.0631799i
\(761\) 24.1077 28.7304i 0.873902 1.04148i −0.124882 0.992172i \(-0.539855\pi\)
0.998784 0.0493044i \(-0.0157004\pi\)
\(762\) 3.48401 4.15208i 0.126212 0.150414i
\(763\) −8.36738 14.4927i −0.302920 0.524672i
\(764\) −23.2911 + 10.8608i −0.842642 + 0.392930i
\(765\) −2.48457 3.24985i −0.0898296 0.117499i
\(766\) −7.90406 + 13.6902i −0.285585 + 0.494648i
\(767\) 5.67411 21.1761i 0.204880 0.764623i
\(768\) −0.683811 + 1.46644i −0.0246749 + 0.0529155i
\(769\) 7.70467 + 28.7542i 0.277837 + 1.03690i 0.953916 + 0.300074i \(0.0970113\pi\)
−0.676079 + 0.736829i \(0.736322\pi\)
\(770\) 8.33086 7.60673i 0.300224 0.274127i
\(771\) 27.5432 + 27.5432i 0.991945 + 0.991945i
\(772\) −18.5801 + 15.5905i −0.668711 + 0.561115i