Properties

Label 370.2.q.e.103.1
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $16$
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.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.1
Root \(-0.709944 + 0.925217i\) of defining polynomial
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.e.97.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.758819 - 2.83195i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.61069 + 1.55103i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(0.455091 + 1.69842i) q^{7} +1.00000 q^{8} +(-4.84607 + 2.79788i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.758819 - 2.83195i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.61069 + 1.55103i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(0.455091 + 1.69842i) q^{7} +1.00000 q^{8} +(-4.84607 + 2.79788i) q^{9} +(2.14857 + 0.619385i) q^{10} +5.29342i q^{11} +(2.83195 + 0.758819i) q^{12} +(-0.197969 + 0.342893i) q^{13} +(1.24333 - 1.24333i) q^{14} +(5.61465 + 3.38445i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(3.21090 - 1.85382i) q^{17} +(4.84607 + 2.79788i) q^{18} +(-5.24257 + 1.40474i) q^{19} +(-0.537883 - 2.17041i) q^{20} +(4.46452 - 2.57759i) q^{21} +(4.58424 - 2.64671i) q^{22} -7.28057 q^{23} +(-0.758819 - 2.83195i) q^{24} +(0.188640 - 4.99644i) q^{25} +0.395938 q^{26} +(5.38134 + 5.38134i) q^{27} +(-1.69842 - 0.455091i) q^{28} +(-1.33851 + 1.33851i) q^{29} +(0.123691 - 6.55465i) q^{30} +(3.75473 + 3.75473i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(14.9907 - 4.01675i) q^{33} +(-3.21090 - 1.85382i) q^{34} +(-3.36731 - 2.02977i) q^{35} -5.59575i q^{36} +(2.51884 + 5.53674i) q^{37} +(3.83783 + 3.83783i) q^{38} +(1.12128 + 0.300446i) q^{39} +(-1.61069 + 1.55103i) q^{40} +(-5.24826 - 3.03009i) q^{41} +(-4.46452 - 2.57759i) q^{42} +8.65292 q^{43} +(-4.58424 - 2.64671i) q^{44} +(3.46593 - 12.0229i) q^{45} +(3.64029 + 6.30516i) q^{46} +(-7.10699 + 7.10699i) q^{47} +(-2.07313 + 2.07313i) q^{48} +(3.38465 - 1.95413i) q^{49} +(-4.42136 + 2.33485i) q^{50} +(-7.68641 - 7.68641i) q^{51} +(-0.197969 - 0.342893i) q^{52} +(-2.33073 + 8.69839i) q^{53} +(1.96971 - 7.35105i) q^{54} +(-8.21023 - 8.52606i) q^{55} +(0.455091 + 1.69842i) q^{56} +(7.95632 + 13.7808i) q^{57} +(1.82844 + 0.489930i) q^{58} +(-1.49924 + 5.59523i) q^{59} +(-5.73834 + 3.17021i) q^{60} +(-0.793650 + 0.212658i) q^{61} +(1.37433 - 5.12906i) q^{62} +(-6.95738 - 6.95738i) q^{63} +1.00000 q^{64} +(-0.212968 - 0.859349i) q^{65} +(-10.9740 - 10.9740i) q^{66} +(-3.42259 + 0.917081i) q^{67} +3.70763i q^{68} +(5.52464 + 20.6182i) q^{69} +(-0.0741820 + 3.93106i) q^{70} +(-1.22491 + 2.12161i) q^{71} +(-4.84607 + 2.79788i) q^{72} +(7.76616 - 7.76616i) q^{73} +(3.53553 - 4.94975i) q^{74} +(-14.2928 + 3.25717i) q^{75} +(1.40474 - 5.24257i) q^{76} +(-8.99046 + 2.40899i) q^{77} +(-0.300446 - 1.12128i) q^{78} +(-12.4441 + 3.33439i) q^{79} +(2.14857 + 0.619385i) q^{80} +(2.76260 - 4.78497i) q^{81} +6.06017i q^{82} +(-0.519789 + 1.93988i) q^{83} +5.15518i q^{84} +(-2.29645 + 7.96612i) q^{85} +(-4.32646 - 7.49365i) q^{86} +(4.80629 + 2.77491i) q^{87} +5.29342i q^{88} +(0.441597 + 0.118325i) q^{89} +(-12.1451 + 3.00986i) q^{90} +(-0.672471 - 0.180188i) q^{91} +(3.64029 - 6.30516i) q^{92} +(7.78405 - 13.4824i) q^{93} +(9.70832 + 2.60134i) q^{94} +(6.26536 - 10.3940i) q^{95} +(2.83195 + 0.758819i) q^{96} -10.7641i q^{97} +(-3.38465 - 1.95413i) q^{98} +(-14.8103 - 25.6523i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9} - 4 q^{10} + 16 q^{12} - 4 q^{13} + 8 q^{15} - 8 q^{16} + 24 q^{18} - 24 q^{19} + 8 q^{20} - 12 q^{21} - 8 q^{23} - 8 q^{24} + 32 q^{25} + 8 q^{26} + 16 q^{27} + 16 q^{29} - 4 q^{30} + 24 q^{31} - 8 q^{32} + 12 q^{33} - 20 q^{35} - 4 q^{40} - 36 q^{41} + 12 q^{42} - 16 q^{43} + 4 q^{45} + 4 q^{46} + 32 q^{47} - 8 q^{48} + 24 q^{49} - 16 q^{50} - 16 q^{51} - 4 q^{52} - 48 q^{53} - 8 q^{54} - 24 q^{55} + 20 q^{57} - 8 q^{58} - 8 q^{59} - 4 q^{60} + 8 q^{61} - 12 q^{62} + 16 q^{63} + 16 q^{64} + 24 q^{65} - 24 q^{66} - 8 q^{67} - 8 q^{69} + 28 q^{70} + 4 q^{71} - 24 q^{72} + 48 q^{73} - 36 q^{75} + 24 q^{76} - 60 q^{77} + 20 q^{79} - 4 q^{80} + 16 q^{81} + 24 q^{83} + 8 q^{85} + 8 q^{86} + 12 q^{87} - 8 q^{89} - 8 q^{90} - 8 q^{91} + 4 q^{92} + 36 q^{93} - 28 q^{94} + 28 q^{95} + 16 q^{96} - 24 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −0.758819 2.83195i −0.438104 1.63503i −0.733526 0.679661i \(-0.762127\pi\)
0.295422 0.955367i \(-0.404540\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −1.61069 + 1.55103i −0.720322 + 0.693640i
\(6\) −2.07313 + 2.07313i −0.846353 + 0.846353i
\(7\) 0.455091 + 1.69842i 0.172008 + 0.641943i 0.997042 + 0.0768598i \(0.0244894\pi\)
−0.825034 + 0.565083i \(0.808844\pi\)
\(8\) 1.00000 0.353553
\(9\) −4.84607 + 2.79788i −1.61536 + 0.932626i
\(10\) 2.14857 + 0.619385i 0.679438 + 0.195867i
\(11\) 5.29342i 1.59603i 0.602640 + 0.798013i \(0.294115\pi\)
−0.602640 + 0.798013i \(0.705885\pi\)
\(12\) 2.83195 + 0.758819i 0.817514 + 0.219052i
\(13\) −0.197969 + 0.342893i −0.0549068 + 0.0951013i −0.892172 0.451695i \(-0.850819\pi\)
0.837266 + 0.546796i \(0.184153\pi\)
\(14\) 1.24333 1.24333i 0.332294 0.332294i
\(15\) 5.61465 + 3.38445i 1.44970 + 0.873860i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 3.21090 1.85382i 0.778759 0.449617i −0.0572314 0.998361i \(-0.518227\pi\)
0.835990 + 0.548744i \(0.184894\pi\)
\(18\) 4.84607 + 2.79788i 1.14223 + 0.659466i
\(19\) −5.24257 + 1.40474i −1.20273 + 0.322270i −0.803905 0.594758i \(-0.797248\pi\)
−0.398823 + 0.917028i \(0.630581\pi\)
\(20\) −0.537883 2.17041i −0.120274 0.485319i
\(21\) 4.46452 2.57759i 0.974238 0.562476i
\(22\) 4.58424 2.64671i 0.977362 0.564280i
\(23\) −7.28057 −1.51810 −0.759052 0.651030i \(-0.774337\pi\)
−0.759052 + 0.651030i \(0.774337\pi\)
\(24\) −0.758819 2.83195i −0.154893 0.578070i
\(25\) 0.188640 4.99644i 0.0377280 0.999288i
\(26\) 0.395938 0.0776499
\(27\) 5.38134 + 5.38134i 1.03564 + 1.03564i
\(28\) −1.69842 0.455091i −0.320972 0.0860041i
\(29\) −1.33851 + 1.33851i −0.248556 + 0.248556i −0.820378 0.571822i \(-0.806237\pi\)
0.571822 + 0.820378i \(0.306237\pi\)
\(30\) 0.123691 6.55465i 0.0225828 1.19671i
\(31\) 3.75473 + 3.75473i 0.674369 + 0.674369i 0.958720 0.284351i \(-0.0917780\pi\)
−0.284351 + 0.958720i \(0.591778\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 14.9907 4.01675i 2.60955 0.699226i
\(34\) −3.21090 1.85382i −0.550666 0.317927i
\(35\) −3.36731 2.02977i −0.569179 0.343094i
\(36\) 5.59575i 0.932626i
\(37\) 2.51884 + 5.53674i 0.414095 + 0.910234i
\(38\) 3.83783 + 3.83783i 0.622578 + 0.622578i
\(39\) 1.12128 + 0.300446i 0.179548 + 0.0481098i
\(40\) −1.61069 + 1.55103i −0.254672 + 0.245239i
\(41\) −5.24826 3.03009i −0.819641 0.473220i 0.0306518 0.999530i \(-0.490242\pi\)
−0.850293 + 0.526310i \(0.823575\pi\)
\(42\) −4.46452 2.57759i −0.688890 0.397731i
\(43\) 8.65292 1.31956 0.659779 0.751459i \(-0.270650\pi\)
0.659779 + 0.751459i \(0.270650\pi\)
\(44\) −4.58424 2.64671i −0.691100 0.399007i
\(45\) 3.46593 12.0229i 0.516670 1.79227i
\(46\) 3.64029 + 6.30516i 0.536731 + 0.929645i
\(47\) −7.10699 + 7.10699i −1.03666 + 1.03666i −0.0373585 + 0.999302i \(0.511894\pi\)
−0.999302 + 0.0373585i \(0.988106\pi\)
\(48\) −2.07313 + 2.07313i −0.299231 + 0.299231i
\(49\) 3.38465 1.95413i 0.483521 0.279161i
\(50\) −4.42136 + 2.33485i −0.625275 + 0.330198i
\(51\) −7.68641 7.68641i −1.07631 1.07631i
\(52\) −0.197969 0.342893i −0.0274534 0.0475507i
\(53\) −2.33073 + 8.69839i −0.320150 + 1.19482i 0.598948 + 0.800788i \(0.295586\pi\)
−0.919098 + 0.394028i \(0.871081\pi\)
\(54\) 1.96971 7.35105i 0.268043 1.00035i
\(55\) −8.21023 8.52606i −1.10707 1.14965i
\(56\) 0.455091 + 1.69842i 0.0608141 + 0.226961i
\(57\) 7.95632 + 13.7808i 1.05384 + 1.82531i
\(58\) 1.82844 + 0.489930i 0.240086 + 0.0643309i
\(59\) −1.49924 + 5.59523i −0.195184 + 0.728437i 0.797035 + 0.603933i \(0.206401\pi\)
−0.992219 + 0.124504i \(0.960266\pi\)
\(60\) −5.73834 + 3.17021i −0.740817 + 0.409272i
\(61\) −0.793650 + 0.212658i −0.101617 + 0.0272281i −0.309269 0.950975i \(-0.600084\pi\)
0.207652 + 0.978203i \(0.433418\pi\)
\(62\) 1.37433 5.12906i 0.174540 0.651391i
\(63\) −6.95738 6.95738i −0.876547 0.876547i
\(64\) 1.00000 0.125000
\(65\) −0.212968 0.859349i −0.0264155 0.106589i
\(66\) −10.9740 10.9740i −1.35080 1.35080i
\(67\) −3.42259 + 0.917081i −0.418136 + 0.112039i −0.461752 0.887009i \(-0.652779\pi\)
0.0436155 + 0.999048i \(0.486112\pi\)
\(68\) 3.70763i 0.449617i
\(69\) 5.52464 + 20.6182i 0.665088 + 2.48214i
\(70\) −0.0741820 + 3.93106i −0.00886644 + 0.469851i
\(71\) −1.22491 + 2.12161i −0.145370 + 0.251788i −0.929511 0.368795i \(-0.879771\pi\)
0.784141 + 0.620583i \(0.213104\pi\)
\(72\) −4.84607 + 2.79788i −0.571114 + 0.329733i
\(73\) 7.76616 7.76616i 0.908961 0.908961i −0.0872276 0.996188i \(-0.527801\pi\)
0.996188 + 0.0872276i \(0.0278007\pi\)
\(74\) 3.53553 4.94975i 0.410997 0.575396i
\(75\) −14.2928 + 3.25717i −1.65039 + 0.376106i
\(76\) 1.40474 5.24257i 0.161135 0.601364i
\(77\) −8.99046 + 2.40899i −1.02456 + 0.274530i
\(78\) −0.300446 1.12128i −0.0340188 0.126960i
\(79\) −12.4441 + 3.33439i −1.40007 + 0.375148i −0.878370 0.477981i \(-0.841369\pi\)
−0.521700 + 0.853129i \(0.674702\pi\)
\(80\) 2.14857 + 0.619385i 0.240218 + 0.0692494i
\(81\) 2.76260 4.78497i 0.306956 0.531663i
\(82\) 6.06017i 0.669234i
\(83\) −0.519789 + 1.93988i −0.0570542 + 0.212929i −0.988568 0.150778i \(-0.951822\pi\)
0.931514 + 0.363707i \(0.118489\pi\)
\(84\) 5.15518i 0.562476i
\(85\) −2.29645 + 7.96612i −0.249085 + 0.864047i
\(86\) −4.32646 7.49365i −0.466534 0.808061i
\(87\) 4.80629 + 2.77491i 0.515289 + 0.297502i
\(88\) 5.29342i 0.564280i
\(89\) 0.441597 + 0.118325i 0.0468091 + 0.0125425i 0.282148 0.959371i \(-0.408953\pi\)
−0.235338 + 0.971913i \(0.575620\pi\)
\(90\) −12.1451 + 3.00986i −1.28020 + 0.317267i
\(91\) −0.672471 0.180188i −0.0704941 0.0188888i
\(92\) 3.64029 6.30516i 0.379526 0.657359i
\(93\) 7.78405 13.4824i 0.807169 1.39806i
\(94\) 9.70832 + 2.60134i 1.00134 + 0.268307i
\(95\) 6.26536 10.3940i 0.642812 1.06640i
\(96\) 2.83195 + 0.758819i 0.289035 + 0.0774466i
\(97\) 10.7641i 1.09293i −0.837481 0.546466i \(-0.815973\pi\)
0.837481 0.546466i \(-0.184027\pi\)
\(98\) −3.38465 1.95413i −0.341901 0.197397i
\(99\) −14.8103 25.6523i −1.48850 2.57815i
\(100\) 4.23272 + 2.66159i 0.423272 + 0.266159i
\(101\) 1.23852i 0.123237i 0.998100 + 0.0616184i \(0.0196262\pi\)
−0.998100 + 0.0616184i \(0.980374\pi\)
\(102\) −2.81342 + 10.4998i −0.278570 + 1.03964i
\(103\) 15.6859i 1.54558i −0.634662 0.772790i \(-0.718861\pi\)
0.634662 0.772790i \(-0.281139\pi\)
\(104\) −0.197969 + 0.342893i −0.0194125 + 0.0336234i
\(105\) −3.19304 + 11.0763i −0.311609 + 1.08093i
\(106\) 8.69839 2.33073i 0.844863 0.226380i
\(107\) −0.801309 2.99053i −0.0774655 0.289105i 0.916316 0.400457i \(-0.131149\pi\)
−0.993781 + 0.111352i \(0.964482\pi\)
\(108\) −7.35105 + 1.96971i −0.707355 + 0.189535i
\(109\) 0.513107 1.91494i 0.0491468 0.183418i −0.936989 0.349359i \(-0.886399\pi\)
0.986136 + 0.165941i \(0.0530660\pi\)
\(110\) −3.27867 + 11.3733i −0.312609 + 1.08440i
\(111\) 13.7684 11.3346i 1.30684 1.07583i
\(112\) 1.24333 1.24333i 0.117484 0.117484i
\(113\) −14.5475 + 8.39900i −1.36851 + 0.790112i −0.990738 0.135786i \(-0.956644\pi\)
−0.377775 + 0.925897i \(0.623311\pi\)
\(114\) 7.95632 13.7808i 0.745178 1.29069i
\(115\) 11.7267 11.2924i 1.09352 1.05302i
\(116\) −0.489930 1.82844i −0.0454888 0.169767i
\(117\) 2.21557i 0.204830i
\(118\) 5.59523 1.49924i 0.515082 0.138016i
\(119\) 4.60982 + 4.60982i 0.422581 + 0.422581i
\(120\) 5.61465 + 3.38445i 0.512545 + 0.308956i
\(121\) −17.0203 −1.54730
\(122\) 0.580992 + 0.580992i 0.0526006 + 0.0526006i
\(123\) −4.59857 + 17.1621i −0.414639 + 1.54746i
\(124\) −5.12906 + 1.37433i −0.460603 + 0.123418i
\(125\) 7.44577 + 8.34030i 0.665969 + 0.745979i
\(126\) −2.54658 + 9.50395i −0.226867 + 0.846679i
\(127\) −3.10721 0.832573i −0.275720 0.0738789i 0.118309 0.992977i \(-0.462253\pi\)
−0.394029 + 0.919098i \(0.628919\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −6.56600 24.5047i −0.578104 2.15751i
\(130\) −0.637734 + 0.614111i −0.0559329 + 0.0538611i
\(131\) 1.42519 5.31888i 0.124519 0.464713i −0.875303 0.483576i \(-0.839338\pi\)
0.999822 + 0.0188626i \(0.00600451\pi\)
\(132\) −4.01675 + 14.9907i −0.349613 + 1.30477i
\(133\) −4.77169 8.26481i −0.413758 0.716650i
\(134\) 2.50551 + 2.50551i 0.216443 + 0.216443i
\(135\) −17.0143 0.321072i −1.46435 0.0276335i
\(136\) 3.21090 1.85382i 0.275333 0.158963i
\(137\) 14.6294 14.6294i 1.24988 1.24988i 0.294103 0.955774i \(-0.404979\pi\)
0.955774 0.294103i \(-0.0950210\pi\)
\(138\) 15.0936 15.0936i 1.28485 1.28485i
\(139\) 11.1080 + 19.2396i 0.942165 + 1.63188i 0.761330 + 0.648365i \(0.224547\pi\)
0.180835 + 0.983513i \(0.442120\pi\)
\(140\) 3.44149 1.90129i 0.290859 0.160688i
\(141\) 25.5196 + 14.7337i 2.14913 + 1.24080i
\(142\) 2.44982 0.205584
\(143\) −1.81508 1.04793i −0.151784 0.0876327i
\(144\) 4.84607 + 2.79788i 0.403839 + 0.233156i
\(145\) 0.0798609 4.23200i 0.00663208 0.351448i
\(146\) −10.6088 2.84261i −0.877989 0.235256i
\(147\) −8.10233 8.10233i −0.668269 0.668269i
\(148\) −6.05437 0.586988i −0.497666 0.0482502i
\(149\) 7.99685i 0.655127i 0.944829 + 0.327564i \(0.106228\pi\)
−0.944829 + 0.327564i \(0.893772\pi\)
\(150\) 9.96721 + 10.7494i 0.813819 + 0.877681i
\(151\) 12.3792 + 7.14715i 1.00741 + 0.581627i 0.910431 0.413660i \(-0.135750\pi\)
0.0969755 + 0.995287i \(0.469083\pi\)
\(152\) −5.24257 + 1.40474i −0.425228 + 0.113940i
\(153\) −10.3735 + 17.9674i −0.838648 + 1.45258i
\(154\) 6.58148 + 6.58148i 0.530350 + 0.530350i
\(155\) −11.8714 0.224022i −0.953533 0.0179939i
\(156\) −0.820833 + 0.820833i −0.0657192 + 0.0657192i
\(157\) −7.78666 2.08643i −0.621443 0.166515i −0.0656592 0.997842i \(-0.520915\pi\)
−0.555784 + 0.831327i \(0.687582\pi\)
\(158\) 9.10971 + 9.10971i 0.724730 + 0.724730i
\(159\) 26.4020 2.09382
\(160\) −0.537883 2.17041i −0.0425234 0.171586i
\(161\) −3.31332 12.3655i −0.261126 0.974537i
\(162\) −5.52520 −0.434101
\(163\) −0.520426 + 0.300468i −0.0407629 + 0.0235345i −0.520243 0.854018i \(-0.674159\pi\)
0.479480 + 0.877553i \(0.340825\pi\)
\(164\) 5.24826 3.03009i 0.409820 0.236610i
\(165\) −17.9153 + 29.7207i −1.39470 + 2.31375i
\(166\) 1.93988 0.519789i 0.150564 0.0403434i
\(167\) −14.0365 8.10399i −1.08618 0.627106i −0.153623 0.988130i \(-0.549094\pi\)
−0.932557 + 0.361024i \(0.882427\pi\)
\(168\) 4.46452 2.57759i 0.344445 0.198865i
\(169\) 6.42162 + 11.1226i 0.493970 + 0.855582i
\(170\) 8.04709 1.99427i 0.617183 0.152954i
\(171\) 21.4755 21.4755i 1.64227 1.64227i
\(172\) −4.32646 + 7.49365i −0.329890 + 0.571386i
\(173\) 12.8789 + 3.45090i 0.979167 + 0.262367i 0.712694 0.701475i \(-0.247475\pi\)
0.266473 + 0.963842i \(0.414142\pi\)
\(174\) 5.54983i 0.420731i
\(175\) 8.57191 1.95344i 0.647976 0.147666i
\(176\) 4.58424 2.64671i 0.345550 0.199503i
\(177\) 16.9831 1.27653
\(178\) −0.118325 0.441597i −0.00886887 0.0330991i
\(179\) −5.55861 + 5.55861i −0.415470 + 0.415470i −0.883639 0.468169i \(-0.844914\pi\)
0.468169 + 0.883639i \(0.344914\pi\)
\(180\) 8.67916 + 9.01302i 0.646906 + 0.671791i
\(181\) 1.28072 2.21827i 0.0951949 0.164882i −0.814495 0.580171i \(-0.802986\pi\)
0.909690 + 0.415288i \(0.136319\pi\)
\(182\) 0.180188 + 0.672471i 0.0133564 + 0.0498468i
\(183\) 1.20447 + 2.08621i 0.0890373 + 0.154217i
\(184\) −7.28057 −0.536731
\(185\) −12.6447 5.01118i −0.929656 0.368429i
\(186\) −15.5681 −1.14151
\(187\) 9.81303 + 16.9967i 0.717600 + 1.24292i
\(188\) −2.60134 9.70832i −0.189722 0.708052i
\(189\) −6.69079 + 11.5888i −0.486683 + 0.842960i
\(190\) −12.1341 0.228980i −0.880301 0.0166119i
\(191\) −3.22968 + 3.22968i −0.233691 + 0.233691i −0.814232 0.580540i \(-0.802841\pi\)
0.580540 + 0.814232i \(0.302841\pi\)
\(192\) −0.758819 2.83195i −0.0547630 0.204378i
\(193\) −17.5567 −1.26376 −0.631880 0.775066i \(-0.717716\pi\)
−0.631880 + 0.775066i \(0.717716\pi\)
\(194\) −9.32202 + 5.38207i −0.669282 + 0.386410i
\(195\) −2.27203 + 1.25521i −0.162703 + 0.0898872i
\(196\) 3.90825i 0.279161i
\(197\) −0.428008 0.114684i −0.0304943 0.00817093i 0.243540 0.969891i \(-0.421691\pi\)
−0.274034 + 0.961720i \(0.588358\pi\)
\(198\) −14.8103 + 25.6523i −1.05252 + 1.82303i
\(199\) 19.1007 19.1007i 1.35401 1.35401i 0.472897 0.881118i \(-0.343208\pi\)
0.881118 0.472897i \(-0.156792\pi\)
\(200\) 0.188640 4.99644i 0.0133389 0.353302i
\(201\) 5.19426 + 8.99672i 0.366375 + 0.634580i
\(202\) 1.07259 0.619258i 0.0754669 0.0435708i
\(203\) −2.88251 1.66422i −0.202312 0.116805i
\(204\) 10.4998 2.81342i 0.735136 0.196979i
\(205\) 13.1531 3.25966i 0.918649 0.227665i
\(206\) −13.5844 + 7.84296i −0.946470 + 0.546445i
\(207\) 35.2821 20.3702i 2.45228 1.41582i
\(208\) 0.395938 0.0274534
\(209\) −7.43589 27.7511i −0.514351 1.91958i
\(210\) 11.1889 2.77288i 0.772105 0.191347i
\(211\) −27.6353 −1.90250 −0.951248 0.308428i \(-0.900197\pi\)
−0.951248 + 0.308428i \(0.900197\pi\)
\(212\) −6.36767 6.36767i −0.437333 0.437333i
\(213\) 6.93777 + 1.85897i 0.475368 + 0.127374i
\(214\) −2.18922 + 2.18922i −0.149652 + 0.149652i
\(215\) −13.9372 + 13.4209i −0.950507 + 0.915298i
\(216\) 5.38134 + 5.38134i 0.366154 + 0.366154i
\(217\) −4.66837 + 8.08586i −0.316910 + 0.548904i
\(218\) −1.91494 + 0.513107i −0.129696 + 0.0347520i
\(219\) −27.8865 16.1003i −1.88440 1.08796i
\(220\) 11.4889 2.84724i 0.774581 0.191961i
\(221\) 1.46799i 0.0987480i
\(222\) −16.7003 6.25650i −1.12085 0.419909i
\(223\) 19.6785 + 19.6785i 1.31777 + 1.31777i 0.915539 + 0.402229i \(0.131764\pi\)
0.402229 + 0.915539i \(0.368236\pi\)
\(224\) −1.69842 0.455091i −0.113481 0.0304070i
\(225\) 13.0653 + 24.7409i 0.871018 + 1.64939i
\(226\) 14.5475 + 8.39900i 0.967685 + 0.558693i
\(227\) −14.9254 8.61717i −0.990632 0.571941i −0.0851686 0.996367i \(-0.527143\pi\)
−0.905463 + 0.424425i \(0.860476\pi\)
\(228\) −15.9126 −1.05384
\(229\) 6.96524 + 4.02138i 0.460276 + 0.265740i 0.712160 0.702017i \(-0.247717\pi\)
−0.251884 + 0.967757i \(0.581050\pi\)
\(230\) −15.6428 4.50948i −1.03146 0.297346i
\(231\) 13.6443 + 23.6326i 0.897727 + 1.55491i
\(232\) −1.33851 + 1.33851i −0.0878777 + 0.0878777i
\(233\) 15.0559 15.0559i 0.986346 0.986346i −0.0135616 0.999908i \(-0.504317\pi\)
0.999908 + 0.0135616i \(0.00431692\pi\)
\(234\) −1.91874 + 1.10779i −0.125432 + 0.0724183i
\(235\) 0.424030 22.4703i 0.0276607 1.46580i
\(236\) −4.09599 4.09599i −0.266626 0.266626i
\(237\) 18.8856 + 32.7109i 1.22675 + 2.12480i
\(238\) 1.68731 6.29713i 0.109372 0.408182i
\(239\) 2.47074 9.22091i 0.159819 0.596451i −0.838826 0.544400i \(-0.816757\pi\)
0.998644 0.0520513i \(-0.0165759\pi\)
\(240\) 0.123691 6.55465i 0.00798423 0.423101i
\(241\) 1.03693 + 3.86989i 0.0667947 + 0.249281i 0.991248 0.132015i \(-0.0421446\pi\)
−0.924453 + 0.381296i \(0.875478\pi\)
\(242\) 8.51015 + 14.7400i 0.547053 + 0.947524i
\(243\) 6.40605 + 1.71649i 0.410948 + 0.110113i
\(244\) 0.212658 0.793650i 0.0136140 0.0508083i
\(245\) −2.42071 + 8.39717i −0.154654 + 0.536475i
\(246\) 17.1621 4.59857i 1.09422 0.293194i
\(247\) 0.556191 2.07573i 0.0353896 0.132076i
\(248\) 3.75473 + 3.75473i 0.238426 + 0.238426i
\(249\) 5.88806 0.373141
\(250\) 3.50003 10.6184i 0.221361 0.671565i
\(251\) 6.79402 + 6.79402i 0.428834 + 0.428834i 0.888231 0.459397i \(-0.151934\pi\)
−0.459397 + 0.888231i \(0.651934\pi\)
\(252\) 9.50395 2.54658i 0.598693 0.160419i
\(253\) 38.5391i 2.42293i
\(254\) 0.832573 + 3.10721i 0.0522403 + 0.194963i
\(255\) 24.3023 + 0.458601i 1.52187 + 0.0287187i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 4.89445 2.82581i 0.305307 0.176269i −0.339517 0.940600i \(-0.610264\pi\)
0.644825 + 0.764331i \(0.276930\pi\)
\(258\) −17.9387 + 17.9387i −1.11681 + 1.11681i
\(259\) −8.25741 + 6.79777i −0.513091 + 0.422393i
\(260\) 0.850702 + 0.245238i 0.0527583 + 0.0152090i
\(261\) 2.74153 10.2315i 0.169696 0.633315i
\(262\) −5.31888 + 1.42519i −0.328602 + 0.0880486i
\(263\) 1.82357 + 6.80564i 0.112446 + 0.419654i 0.999083 0.0428117i \(-0.0136315\pi\)
−0.886637 + 0.462466i \(0.846965\pi\)
\(264\) 14.9907 4.01675i 0.922614 0.247214i
\(265\) −9.73735 17.6254i −0.598161 1.08272i
\(266\) −4.77169 + 8.26481i −0.292571 + 0.506748i
\(267\) 1.34037i 0.0820291i
\(268\) 0.917081 3.42259i 0.0560197 0.209068i
\(269\) 20.1816i 1.23049i 0.788336 + 0.615246i \(0.210943\pi\)
−0.788336 + 0.615246i \(0.789057\pi\)
\(270\) 8.22908 + 14.8953i 0.500806 + 0.906500i
\(271\) 5.27948 + 9.14432i 0.320705 + 0.555478i 0.980634 0.195851i \(-0.0627468\pi\)
−0.659928 + 0.751328i \(0.729413\pi\)
\(272\) −3.21090 1.85382i −0.194690 0.112404i
\(273\) 2.04113i 0.123535i
\(274\) −19.9842 5.35474i −1.20729 0.323492i
\(275\) 26.4483 + 0.998552i 1.59489 + 0.0602149i
\(276\) −20.6182 5.52464i −1.24107 0.332544i
\(277\) 11.1864 19.3754i 0.672126 1.16416i −0.305174 0.952297i \(-0.598715\pi\)
0.977300 0.211860i \(-0.0679520\pi\)
\(278\) 11.1080 19.2396i 0.666211 1.15391i
\(279\) −28.7009 7.69039i −1.71828 0.460412i
\(280\) −3.36731 2.02977i −0.201235 0.121302i
\(281\) 12.0535 + 3.22972i 0.719050 + 0.192669i 0.599748 0.800189i \(-0.295268\pi\)
0.119302 + 0.992858i \(0.461934\pi\)
\(282\) 29.4674i 1.75476i
\(283\) −23.4570 13.5429i −1.39437 0.805041i −0.400576 0.916263i \(-0.631190\pi\)
−0.993796 + 0.111223i \(0.964523\pi\)
\(284\) −1.22491 2.12161i −0.0726850 0.125894i
\(285\) −34.1895 9.85605i −2.02521 0.583822i
\(286\) 2.09587i 0.123931i
\(287\) 2.75793 10.2927i 0.162795 0.607561i
\(288\) 5.59575i 0.329733i
\(289\) −1.62673 + 2.81757i −0.0956898 + 0.165740i
\(290\) −3.70495 + 2.04684i −0.217562 + 0.120194i
\(291\) −30.4835 + 8.16803i −1.78698 + 0.478819i
\(292\) 2.84261 + 10.6088i 0.166351 + 0.620832i
\(293\) 20.9501 5.61358i 1.22392 0.327949i 0.411711 0.911314i \(-0.364931\pi\)
0.812210 + 0.583366i \(0.198265\pi\)
\(294\) −2.96566 + 11.0680i −0.172961 + 0.645498i
\(295\) −6.26354 11.3375i −0.364677 0.660096i
\(296\) 2.51884 + 5.53674i 0.146405 + 0.321816i
\(297\) −28.4857 + 28.4857i −1.65291 + 1.65291i
\(298\) 6.92547 3.99842i 0.401182 0.231622i
\(299\) 1.44133 2.49646i 0.0833542 0.144374i
\(300\) 4.32561 14.0065i 0.249739 0.808667i
\(301\) 3.93787 + 14.6963i 0.226975 + 0.847082i
\(302\) 14.2943i 0.822544i
\(303\) 3.50742 0.939809i 0.201496 0.0539906i
\(304\) 3.83783 + 3.83783i 0.220114 + 0.220114i
\(305\) 0.948486 1.57350i 0.0543102 0.0900982i
\(306\) 20.7470 1.18603
\(307\) 9.50973 + 9.50973i 0.542749 + 0.542749i 0.924334 0.381585i \(-0.124622\pi\)
−0.381585 + 0.924334i \(0.624622\pi\)
\(308\) 2.40899 8.99046i 0.137265 0.512279i
\(309\) −44.4218 + 11.9028i −2.52707 + 0.677125i
\(310\) 5.74168 + 10.3929i 0.326106 + 0.590279i
\(311\) 2.08579 7.78427i 0.118274 0.441405i −0.881237 0.472675i \(-0.843288\pi\)
0.999511 + 0.0312698i \(0.00995511\pi\)
\(312\) 1.12128 + 0.300446i 0.0634799 + 0.0170094i
\(313\) −0.733158 1.26987i −0.0414406 0.0717771i 0.844561 0.535459i \(-0.179861\pi\)
−0.886002 + 0.463682i \(0.846528\pi\)
\(314\) 2.08643 + 7.78666i 0.117744 + 0.439426i
\(315\) 21.9972 + 0.415104i 1.23940 + 0.0233885i
\(316\) 3.33439 12.4441i 0.187574 0.700035i
\(317\) 3.21563 12.0009i 0.180608 0.674037i −0.814921 0.579572i \(-0.803220\pi\)
0.995528 0.0944641i \(-0.0301138\pi\)
\(318\) −13.2010 22.8648i −0.740276 1.28220i
\(319\) −7.08531 7.08531i −0.396701 0.396701i
\(320\) −1.61069 + 1.55103i −0.0900403 + 0.0867050i
\(321\) −7.86098 + 4.53854i −0.438757 + 0.253317i
\(322\) −9.05217 + 9.05217i −0.504457 + 0.504457i
\(323\) −14.2293 + 14.2293i −0.791737 + 0.791737i
\(324\) 2.76260 + 4.78497i 0.153478 + 0.265831i
\(325\) 1.67590 + 1.05382i 0.0929621 + 0.0584557i
\(326\) 0.520426 + 0.300468i 0.0288237 + 0.0166414i
\(327\) −5.81238 −0.321425
\(328\) −5.24826 3.03009i −0.289787 0.167308i
\(329\) −15.3050 8.83634i −0.843791 0.487163i
\(330\) 34.6965 + 0.654749i 1.90998 + 0.0360427i
\(331\) −2.13031 0.570816i −0.117093 0.0313749i 0.199797 0.979837i \(-0.435972\pi\)
−0.316889 + 0.948462i \(0.602638\pi\)
\(332\) −1.42009 1.42009i −0.0779375 0.0779375i
\(333\) −27.6976 19.7840i −1.51782 1.08416i
\(334\) 16.2080i 0.886862i
\(335\) 4.09032 6.78566i 0.223478 0.370740i
\(336\) −4.46452 2.57759i −0.243559 0.140619i
\(337\) −20.7233 + 5.55278i −1.12887 + 0.302479i −0.774467 0.632614i \(-0.781982\pi\)
−0.354401 + 0.935093i \(0.615315\pi\)
\(338\) 6.42162 11.1226i 0.349290 0.604988i
\(339\) 34.8245 + 34.8245i 1.89141 + 1.89141i
\(340\) −5.75063 5.97185i −0.311872 0.323869i
\(341\) −19.8754 + 19.8754i −1.07631 + 1.07631i
\(342\) −29.3361 7.86059i −1.58632 0.425052i
\(343\) 13.5626 + 13.5626i 0.732310 + 0.732310i
\(344\) 8.65292 0.466534
\(345\) −40.8779 24.6407i −2.20079 1.32661i
\(346\) −3.45090 12.8789i −0.185521 0.692376i
\(347\) −15.3997 −0.826699 −0.413349 0.910572i \(-0.635641\pi\)
−0.413349 + 0.910572i \(0.635641\pi\)
\(348\) −4.80629 + 2.77491i −0.257644 + 0.148751i
\(349\) −10.8175 + 6.24552i −0.579050 + 0.334315i −0.760756 0.649038i \(-0.775172\pi\)
0.181706 + 0.983353i \(0.441838\pi\)
\(350\) −5.97769 6.44677i −0.319521 0.344595i
\(351\) −2.91056 + 0.779883i −0.155354 + 0.0416271i
\(352\) −4.58424 2.64671i −0.244341 0.141070i
\(353\) 11.9913 6.92318i 0.638232 0.368484i −0.145701 0.989329i \(-0.546544\pi\)
0.783933 + 0.620845i \(0.213210\pi\)
\(354\) −8.49153 14.7078i −0.451320 0.781709i
\(355\) −1.31772 5.31711i −0.0699371 0.282203i
\(356\) −0.323271 + 0.323271i −0.0171333 + 0.0171333i
\(357\) 9.55676 16.5528i 0.505797 0.876067i
\(358\) 7.59321 + 2.03459i 0.401313 + 0.107532i
\(359\) 25.9408i 1.36910i −0.728964 0.684552i \(-0.759998\pi\)
0.728964 0.684552i \(-0.240002\pi\)
\(360\) 3.46593 12.0229i 0.182670 0.633661i
\(361\) 9.05673 5.22891i 0.476670 0.275206i
\(362\) −2.56143 −0.134626
\(363\) 12.9153 + 48.2006i 0.677879 + 2.52988i
\(364\) 0.492283 0.492283i 0.0258026 0.0258026i
\(365\) −0.463360 + 24.5544i −0.0242533 + 1.28524i
\(366\) 1.20447 2.08621i 0.0629589 0.109048i
\(367\) 1.20114 + 4.48271i 0.0626990 + 0.233996i 0.990163 0.139916i \(-0.0446831\pi\)
−0.927464 + 0.373911i \(0.878016\pi\)
\(368\) 3.64029 + 6.30516i 0.189763 + 0.328679i
\(369\) 33.9112 1.76535
\(370\) 1.98254 + 13.4562i 0.103067 + 0.699555i
\(371\) −15.8342 −0.822073
\(372\) 7.78405 + 13.4824i 0.403584 + 0.699029i
\(373\) 3.75148 + 14.0007i 0.194244 + 0.724929i 0.992461 + 0.122559i \(0.0391101\pi\)
−0.798217 + 0.602370i \(0.794223\pi\)
\(374\) 9.81303 16.9967i 0.507420 0.878877i
\(375\) 17.9693 27.4148i 0.927932 1.41570i
\(376\) −7.10699 + 7.10699i −0.366515 + 0.366515i
\(377\) −0.193982 0.723951i −0.00999058 0.0372854i
\(378\) 13.3816 0.688274
\(379\) −3.28199 + 1.89486i −0.168585 + 0.0973324i −0.581918 0.813247i \(-0.697698\pi\)
0.413334 + 0.910580i \(0.364364\pi\)
\(380\) 5.86875 + 10.6229i 0.301061 + 0.544945i
\(381\) 9.43123i 0.483176i
\(382\) 4.41182 + 1.18214i 0.225728 + 0.0604838i
\(383\) −15.6875 + 27.1715i −0.801592 + 1.38840i 0.116976 + 0.993135i \(0.462680\pi\)
−0.918568 + 0.395263i \(0.870653\pi\)
\(384\) −2.07313 + 2.07313i −0.105794 + 0.105794i
\(385\) 10.7444 17.8246i 0.547587 0.908424i
\(386\) 8.77836 + 15.2046i 0.446807 + 0.773892i
\(387\) −41.9326 + 24.2098i −2.13156 + 1.23065i
\(388\) 9.32202 + 5.38207i 0.473254 + 0.273233i
\(389\) 10.3766 2.78041i 0.526116 0.140972i 0.0140217 0.999902i \(-0.495537\pi\)
0.512094 + 0.858929i \(0.328870\pi\)
\(390\) 2.22306 + 1.34003i 0.112569 + 0.0678552i
\(391\) −23.3772 + 13.4968i −1.18224 + 0.682565i
\(392\) 3.38465 1.95413i 0.170951 0.0986983i
\(393\) −16.1443 −0.814371
\(394\) 0.114684 + 0.428008i 0.00577772 + 0.0215627i
\(395\) 14.8719 24.6718i 0.748284 1.24137i
\(396\) 29.6207 1.48850
\(397\) 1.98688 + 1.98688i 0.0997189 + 0.0997189i 0.755206 0.655487i \(-0.227537\pi\)
−0.655487 + 0.755206i \(0.727537\pi\)
\(398\) −26.0921 6.99135i −1.30788 0.350445i
\(399\) −19.7847 + 19.7847i −0.990473 + 0.990473i
\(400\) −4.42136 + 2.33485i −0.221068 + 0.116743i
\(401\) −1.17240 1.17240i −0.0585467 0.0585467i 0.677227 0.735774i \(-0.263181\pi\)
−0.735774 + 0.677227i \(0.763181\pi\)
\(402\) 5.19426 8.99672i 0.259066 0.448716i
\(403\) −2.03079 + 0.544149i −0.101161 + 0.0271060i
\(404\) −1.07259 0.619258i −0.0533631 0.0308092i
\(405\) 2.97191 + 11.9920i 0.147675 + 0.595885i
\(406\) 3.32843i 0.165187i
\(407\) −29.3083 + 13.3333i −1.45276 + 0.660906i
\(408\) −7.68641 7.68641i −0.380534 0.380534i
\(409\) 30.9004 + 8.27974i 1.52793 + 0.409407i 0.922342 0.386373i \(-0.126272\pi\)
0.605585 + 0.795780i \(0.292939\pi\)
\(410\) −9.39948 9.76105i −0.464207 0.482064i
\(411\) −52.5309 30.3288i −2.59116 1.49601i
\(412\) 13.5844 + 7.84296i 0.669256 + 0.386395i
\(413\) −10.1853 −0.501188
\(414\) −35.2821 20.3702i −1.73402 1.00114i
\(415\) −2.17158 3.93074i −0.106599 0.192953i
\(416\) −0.197969 0.342893i −0.00970624 0.0168117i
\(417\) 46.0566 46.0566i 2.25540 2.25540i
\(418\) −20.3152 + 20.3152i −0.993650 + 0.993650i
\(419\) −3.92076 + 2.26365i −0.191542 + 0.110587i −0.592704 0.805420i \(-0.701940\pi\)
0.401162 + 0.916007i \(0.368606\pi\)
\(420\) −7.99582 8.30339i −0.390156 0.405164i
\(421\) −16.3796 16.3796i −0.798291 0.798291i 0.184535 0.982826i \(-0.440922\pi\)
−0.982826 + 0.184535i \(0.940922\pi\)
\(422\) 13.8177 + 23.9329i 0.672634 + 1.16504i
\(423\) 14.5564 54.3254i 0.707759 2.64139i
\(424\) −2.33073 + 8.69839i −0.113190 + 0.422431i
\(425\) −8.65678 16.3928i −0.419915 0.795168i
\(426\) −1.85897 6.93777i −0.0900673 0.336136i
\(427\) −0.722366 1.25117i −0.0349577 0.0605486i
\(428\) 2.99053 + 0.801309i 0.144553 + 0.0387328i
\(429\) −1.59038 + 5.93540i −0.0767845 + 0.286564i
\(430\) 18.5914 + 5.35949i 0.896558 + 0.258458i
\(431\) 7.19885 1.92893i 0.346757 0.0929131i −0.0812373 0.996695i \(-0.525887\pi\)
0.427994 + 0.903782i \(0.359220\pi\)
\(432\) 1.96971 7.35105i 0.0947676 0.353678i
\(433\) 4.98607 + 4.98607i 0.239615 + 0.239615i 0.816691 0.577075i \(-0.195806\pi\)
−0.577075 + 0.816691i \(0.695806\pi\)
\(434\) 9.33675 0.448178
\(435\) −12.0454 + 2.98516i −0.577533 + 0.143127i
\(436\) 1.40184 + 1.40184i 0.0671357 + 0.0671357i
\(437\) 38.1689 10.2273i 1.82587 0.489239i
\(438\) 32.2006i 1.53860i
\(439\) −0.561343 2.09496i −0.0267914 0.0999871i 0.951235 0.308466i \(-0.0998155\pi\)
−0.978027 + 0.208479i \(0.933149\pi\)
\(440\) −8.21023 8.52606i −0.391407 0.406464i
\(441\) −10.9348 + 18.9397i −0.520705 + 0.901888i
\(442\) 1.27132 0.733997i 0.0604705 0.0349127i
\(443\) 15.0759 15.0759i 0.716279 0.716279i −0.251562 0.967841i \(-0.580944\pi\)
0.967841 + 0.251562i \(0.0809442\pi\)
\(444\) 2.93185 + 17.5911i 0.139140 + 0.834837i
\(445\) −0.894801 + 0.494342i −0.0424176 + 0.0234341i
\(446\) 7.20282 26.8813i 0.341064 1.27287i
\(447\) 22.6467 6.06816i 1.07115 0.287014i
\(448\) 0.455091 + 1.69842i 0.0215010 + 0.0802429i
\(449\) 29.8192 7.99003i 1.40725 0.377073i 0.526310 0.850293i \(-0.323575\pi\)
0.880944 + 0.473220i \(0.156908\pi\)
\(450\) 14.8936 23.6853i 0.702090 1.11653i
\(451\) 16.0395 27.7813i 0.755271 1.30817i
\(452\) 16.7980i 0.790112i
\(453\) 10.8468 40.4808i 0.509626 1.90195i
\(454\) 17.2343i 0.808847i
\(455\) 1.36262 0.752792i 0.0638805 0.0352914i
\(456\) 7.95632 + 13.7808i 0.372589 + 0.645343i
\(457\) −5.96166 3.44196i −0.278875 0.161008i 0.354039 0.935231i \(-0.384808\pi\)
−0.632914 + 0.774222i \(0.718141\pi\)
\(458\) 8.04277i 0.375814i
\(459\) 27.2550 + 7.30295i 1.27215 + 0.340873i
\(460\) 3.91610 + 15.8018i 0.182589 + 0.736764i
\(461\) 18.2684 + 4.89500i 0.850843 + 0.227983i 0.657786 0.753205i \(-0.271493\pi\)
0.193057 + 0.981188i \(0.438160\pi\)
\(462\) 13.6443 23.6326i 0.634789 1.09949i
\(463\) −8.21257 + 14.2246i −0.381670 + 0.661073i −0.991301 0.131613i \(-0.957984\pi\)
0.609631 + 0.792686i \(0.291318\pi\)
\(464\) 1.82844 + 0.489930i 0.0848833 + 0.0227444i
\(465\) 8.37382 + 33.7892i 0.388326 + 1.56694i
\(466\) −20.5668 5.51085i −0.952738 0.255285i
\(467\) 15.6616i 0.724732i −0.932036 0.362366i \(-0.881969\pi\)
0.932036 0.362366i \(-0.118031\pi\)
\(468\) 1.91874 + 1.10779i 0.0886939 + 0.0512075i
\(469\) −3.11518 5.39566i −0.143846 0.249148i
\(470\) −19.6718 + 10.8679i −0.907394 + 0.501299i
\(471\) 23.6346i 1.08903i
\(472\) −1.49924 + 5.59523i −0.0690080 + 0.257541i
\(473\) 45.8036i 2.10605i
\(474\) 18.8856 32.7109i 0.867446 1.50246i
\(475\) 6.02975 + 26.4592i 0.276664 + 1.21403i
\(476\) −6.29713 + 1.68731i −0.288628 + 0.0773377i
\(477\) −13.0422 48.6741i −0.597160 2.22863i
\(478\) −9.22091 + 2.47074i −0.421755 + 0.113009i
\(479\) 1.58757 5.92489i 0.0725379 0.270715i −0.920126 0.391623i \(-0.871914\pi\)
0.992664 + 0.120908i \(0.0385805\pi\)
\(480\) −5.73834 + 3.17021i −0.261918 + 0.144699i
\(481\) −2.39716 0.232411i −0.109301 0.0105970i
\(482\) 2.83295 2.83295i 0.129038 0.129038i
\(483\) −32.5042 + 18.7663i −1.47899 + 0.853898i
\(484\) 8.51015 14.7400i 0.386825 0.670000i
\(485\) 16.6955 + 17.3377i 0.758102 + 0.787264i
\(486\) −1.71649 6.40605i −0.0778618 0.290584i
\(487\) 41.9951i 1.90298i 0.307679 + 0.951490i \(0.400448\pi\)
−0.307679 + 0.951490i \(0.599552\pi\)
\(488\) −0.793650 + 0.212658i −0.0359269 + 0.00962657i
\(489\) 1.24582 + 1.24582i 0.0563379 + 0.0563379i
\(490\) 8.48252 2.10218i 0.383201 0.0949669i
\(491\) −1.23433 −0.0557047 −0.0278524 0.999612i \(-0.508867\pi\)
−0.0278524 + 0.999612i \(0.508867\pi\)
\(492\) −12.5635 12.5635i −0.566408 0.566408i
\(493\) −1.81648 + 6.77920i −0.0818101 + 0.305320i
\(494\) −2.07573 + 0.556191i −0.0933917 + 0.0250242i
\(495\) 63.6422 + 18.3466i 2.86050 + 0.824619i
\(496\) 1.37433 5.12906i 0.0617091 0.230301i
\(497\) −4.16083 1.11489i −0.186639 0.0500097i
\(498\) −2.94403 5.09921i −0.131925 0.228501i
\(499\) 9.97949 + 37.2439i 0.446743 + 1.66727i 0.711293 + 0.702896i \(0.248110\pi\)
−0.264550 + 0.964372i \(0.585223\pi\)
\(500\) −10.9458 + 2.27807i −0.489511 + 0.101878i
\(501\) −12.2989 + 45.9002i −0.549476 + 2.05067i
\(502\) 2.48678 9.28080i 0.110991 0.414222i
\(503\) 12.3990 + 21.4757i 0.552844 + 0.957553i 0.998068 + 0.0621341i \(0.0197906\pi\)
−0.445224 + 0.895419i \(0.646876\pi\)
\(504\) −6.95738 6.95738i −0.309906 0.309906i
\(505\) −1.92097 1.99486i −0.0854820 0.0887703i
\(506\) −33.3759 + 19.2696i −1.48374 + 0.856637i
\(507\) 26.6257 26.6257i 1.18249 1.18249i
\(508\) 2.27463 2.27463i 0.100920 0.100920i
\(509\) 6.82884 + 11.8279i 0.302683 + 0.524263i 0.976743 0.214414i \(-0.0687843\pi\)
−0.674060 + 0.738677i \(0.735451\pi\)
\(510\) −11.7540 21.2757i −0.520474 0.942102i
\(511\) 16.7245 + 9.65592i 0.739850 + 0.427153i
\(512\) 1.00000 0.0441942
\(513\) −35.7714 20.6527i −1.57935 0.911837i
\(514\) −4.89445 2.82581i −0.215885 0.124641i
\(515\) 24.3293 + 25.2651i 1.07208 + 1.11332i
\(516\) 24.5047 + 6.56600i 1.07876 + 0.289052i
\(517\) −37.6203 37.6203i −1.65454 1.65454i
\(518\) 10.0158 + 3.75224i 0.440067 + 0.164864i
\(519\) 39.0911i 1.71591i
\(520\) −0.212968 0.859349i −0.00933928 0.0376849i
\(521\) 5.66705 + 3.27187i 0.248278 + 0.143343i 0.618976 0.785410i \(-0.287548\pi\)
−0.370697 + 0.928754i \(0.620881\pi\)
\(522\) −10.2315 + 2.74153i −0.447821 + 0.119993i
\(523\) −18.1226 + 31.3893i −0.792446 + 1.37256i 0.132002 + 0.991249i \(0.457859\pi\)
−0.924448 + 0.381308i \(0.875474\pi\)
\(524\) 3.89369 + 3.89369i 0.170097 + 0.170097i
\(525\) −12.0366 22.7929i −0.525320 0.994765i
\(526\) 4.98208 4.98208i 0.217229 0.217229i
\(527\) 19.0167 + 5.09550i 0.828379 + 0.221963i
\(528\) −10.9740 10.9740i −0.477580 0.477580i
\(529\) 30.0068 1.30464
\(530\) −10.3954 + 17.2455i −0.451547 + 0.749097i
\(531\) −8.38936 31.3095i −0.364067 1.35872i
\(532\) 9.54338 0.413758
\(533\) 2.07799 1.19973i 0.0900077 0.0519659i
\(534\) −1.16079 + 0.670184i −0.0502324 + 0.0290017i
\(535\) 5.92904 + 3.57396i 0.256335 + 0.154516i
\(536\) −3.42259 + 0.917081i −0.147834 + 0.0396119i
\(537\) 19.9597 + 11.5237i 0.861325 + 0.497286i
\(538\) 17.4777 10.0908i 0.753519 0.435044i
\(539\) 10.3440 + 17.9164i 0.445548 + 0.771712i
\(540\) 8.78519 14.5743i 0.378054 0.627176i
\(541\) −16.4032 + 16.4032i −0.705230 + 0.705230i −0.965528 0.260298i \(-0.916179\pi\)
0.260298 + 0.965528i \(0.416179\pi\)
\(542\) 5.27948 9.14432i 0.226773 0.392782i
\(543\) −7.25385 1.94366i −0.311293 0.0834106i
\(544\) 3.70763i 0.158963i
\(545\) 2.14367 + 3.88022i 0.0918247 + 0.166210i
\(546\) 1.76767 1.02057i 0.0756495 0.0436762i
\(547\) −4.82213 −0.206179 −0.103090 0.994672i \(-0.532873\pi\)
−0.103090 + 0.994672i \(0.532873\pi\)
\(548\) 5.35474 + 19.9842i 0.228743 + 0.853682i
\(549\) 3.25109 3.25109i 0.138753 0.138753i
\(550\) −12.3594 23.4041i −0.527005 0.997956i
\(551\) 5.13698 8.89751i 0.218843 0.379047i
\(552\) 5.52464 + 20.6182i 0.235144 + 0.877570i
\(553\) −11.3264 19.6179i −0.481647 0.834237i
\(554\) −22.3728 −0.950529
\(555\) −4.59638 + 39.6117i −0.195105 + 1.68142i
\(556\) −22.2159 −0.942165
\(557\) 0.215707 + 0.373616i 0.00913981 + 0.0158306i 0.870559 0.492064i \(-0.163757\pi\)
−0.861419 + 0.507894i \(0.830424\pi\)
\(558\) 7.69039 + 28.7009i 0.325560 + 1.21501i
\(559\) −1.71301 + 2.96702i −0.0724527 + 0.125492i
\(560\) −0.0741820 + 3.93106i −0.00313476 + 0.166118i
\(561\) 40.6874 40.6874i 1.71782 1.71782i
\(562\) −3.22972 12.0535i −0.136237 0.508445i
\(563\) −6.79207 −0.286252 −0.143126 0.989704i \(-0.545715\pi\)
−0.143126 + 0.989704i \(0.545715\pi\)
\(564\) −25.5196 + 14.7337i −1.07457 + 0.620402i
\(565\) 10.4044 36.0917i 0.437718 1.51839i
\(566\) 27.0858i 1.13850i
\(567\) 9.38413 + 2.51447i 0.394096 + 0.105598i
\(568\) −1.22491 + 2.12161i −0.0513961 + 0.0890206i
\(569\) −1.81640 + 1.81640i −0.0761474 + 0.0761474i −0.744155 0.668007i \(-0.767147\pi\)
0.668007 + 0.744155i \(0.267147\pi\)
\(570\) 8.55914 + 34.5370i 0.358503 + 1.44659i
\(571\) 11.8321 + 20.4938i 0.495159 + 0.857641i 0.999984 0.00558071i \(-0.00177641\pi\)
−0.504825 + 0.863222i \(0.668443\pi\)
\(572\) 1.81508 1.04793i 0.0758921 0.0438163i
\(573\) 11.5970 + 6.69555i 0.484473 + 0.279711i
\(574\) −10.2927 + 2.75793i −0.429610 + 0.115114i
\(575\) −1.37341 + 36.3770i −0.0572751 + 1.51702i
\(576\) −4.84607 + 2.79788i −0.201919 + 0.116578i
\(577\) −17.0150 + 9.82363i −0.708344 + 0.408963i −0.810448 0.585811i \(-0.800776\pi\)
0.102103 + 0.994774i \(0.467443\pi\)
\(578\) 3.25345 0.135326
\(579\) 13.3224 + 49.7198i 0.553659 + 2.06628i
\(580\) 3.62509 + 2.18516i 0.150523 + 0.0907338i
\(581\) −3.53128 −0.146502
\(582\) 22.3155 + 22.3155i 0.925007 + 0.925007i
\(583\) −46.0442 12.3375i −1.90696 0.510968i
\(584\) 7.76616 7.76616i 0.321366 0.321366i
\(585\) 3.43641 + 3.56860i 0.142078 + 0.147543i
\(586\) −15.3366 15.3366i −0.633548 0.633548i
\(587\) 11.3896 19.7273i 0.470098 0.814234i −0.529317 0.848424i \(-0.677552\pi\)
0.999415 + 0.0341902i \(0.0108852\pi\)
\(588\) 11.0680 2.96566i 0.456436 0.122302i
\(589\) −24.9589 14.4100i −1.02841 0.593754i
\(590\) −6.68682 + 11.0931i −0.275292 + 0.456698i
\(591\) 1.29912i 0.0534388i
\(592\) 3.53553 4.94975i 0.145310 0.203433i
\(593\) 7.46742 + 7.46742i 0.306650 + 0.306650i 0.843609 0.536958i \(-0.180427\pi\)
−0.536958 + 0.843609i \(0.680427\pi\)
\(594\) 38.9122 + 10.4265i 1.59659 + 0.427804i
\(595\) −14.5749 0.275040i −0.597514 0.0112755i
\(596\) −6.92547 3.99842i −0.283678 0.163782i
\(597\) −68.5863 39.5983i −2.80705 1.62065i
\(598\) −2.88266 −0.117881
\(599\) −0.384513 0.221999i −0.0157108 0.00907062i 0.492124 0.870525i \(-0.336221\pi\)
−0.507835 + 0.861454i \(0.669554\pi\)
\(600\) −14.2928 + 3.25717i −0.583502 + 0.132974i
\(601\) 12.2726 + 21.2568i 0.500609 + 0.867081i 1.00000 0.000703826i \(0.000224035\pi\)
−0.499390 + 0.866377i \(0.666443\pi\)
\(602\) 10.7585 10.7585i 0.438482 0.438482i
\(603\) 14.0202 14.0202i 0.570948 0.570948i
\(604\) −12.3792 + 7.14715i −0.503703 + 0.290813i
\(605\) 27.4144 26.3989i 1.11455 1.07327i
\(606\) −2.56761 2.56761i −0.104302 0.104302i
\(607\) −1.89323 3.27917i −0.0768439 0.133098i 0.825043 0.565070i \(-0.191151\pi\)
−0.901887 + 0.431973i \(0.857818\pi\)
\(608\) 1.40474 5.24257i 0.0569698 0.212614i
\(609\) −2.52568 + 9.42595i −0.102346 + 0.381959i
\(610\) −1.83693 0.0346643i −0.0743752 0.00140351i
\(611\) −1.02997 3.84390i −0.0416681 0.155507i
\(612\) −10.3735 17.9674i −0.419324 0.726290i
\(613\) 5.00768 + 1.34180i 0.202258 + 0.0541949i 0.358526 0.933520i \(-0.383280\pi\)
−0.156267 + 0.987715i \(0.549946\pi\)
\(614\) 3.48080 12.9905i 0.140474 0.524255i
\(615\) −19.2120 34.7753i −0.774702 1.40228i
\(616\) −8.99046 + 2.40899i −0.362236 + 0.0970609i
\(617\) −8.27183 + 30.8709i −0.333011 + 1.24281i 0.572998 + 0.819557i \(0.305780\pi\)
−0.906009 + 0.423258i \(0.860886\pi\)
\(618\) 32.5190 + 32.5190i 1.30811 + 1.30811i
\(619\) −16.9452 −0.681086 −0.340543 0.940229i \(-0.610611\pi\)
−0.340543 + 0.940229i \(0.610611\pi\)
\(620\) 6.12970 10.1689i 0.246175 0.408393i
\(621\) −39.1793 39.1793i −1.57221 1.57221i
\(622\) −7.78427 + 2.08579i −0.312121 + 0.0836325i
\(623\) 0.803866i 0.0322062i
\(624\) −0.300446 1.12128i −0.0120274 0.0448871i
\(625\) −24.9288 1.88506i −0.997153 0.0754023i
\(626\) −0.733158 + 1.26987i −0.0293029 + 0.0507541i
\(627\) −72.9473 + 42.1161i −2.91323 + 1.68196i
\(628\) 5.70023 5.70023i 0.227464 0.227464i
\(629\) 18.3519 + 13.1085i 0.731736 + 0.522669i
\(630\) −10.6391 19.2577i −0.423873 0.767246i
\(631\) 4.85936 18.1354i 0.193448 0.721958i −0.799215 0.601045i \(-0.794751\pi\)
0.992663 0.120913i \(-0.0385822\pi\)
\(632\) −12.4441 + 3.33439i −0.495000 + 0.132635i
\(633\) 20.9702 + 78.2619i 0.833492 + 3.11063i
\(634\) −12.0009 + 3.21563i −0.476616 + 0.127709i
\(635\) 6.29608 3.47834i 0.249852 0.138034i
\(636\) −13.2010 + 22.8648i −0.523454 + 0.906649i
\(637\) 1.54743i 0.0613113i
\(638\) −2.59340 + 9.67871i −0.102674 + 0.383184i
\(639\) 13.7086i 0.542303i
\(640\) 2.14857 + 0.619385i 0.0849298 + 0.0244833i
\(641\) −21.3524 36.9834i −0.843367 1.46076i −0.887031 0.461709i \(-0.847236\pi\)
0.0436641 0.999046i \(-0.486097\pi\)
\(642\) 7.86098 + 4.53854i 0.310248 + 0.179122i
\(643\) 40.4138i 1.59376i −0.604135 0.796882i \(-0.706481\pi\)
0.604135 0.796882i \(-0.293519\pi\)
\(644\) 12.3655 + 3.31332i 0.487269 + 0.130563i
\(645\) 48.5831 + 29.2854i 1.91296 + 1.15311i
\(646\) 19.4375 + 5.20827i 0.764759 + 0.204917i
\(647\) −13.5544 + 23.4770i −0.532880 + 0.922975i 0.466383 + 0.884583i \(0.345557\pi\)
−0.999263 + 0.0383921i \(0.987776\pi\)
\(648\) 2.76260 4.78497i 0.108525 0.187971i
\(649\) −29.6179 7.93609i −1.16260 0.311519i
\(650\) 0.0746899 1.97828i 0.00292958 0.0775946i
\(651\) 26.4412 + 7.08490i 1.03631 + 0.277679i
\(652\) 0.600936i 0.0235345i
\(653\) 3.69595 + 2.13386i 0.144634 + 0.0835044i 0.570571 0.821249i \(-0.306722\pi\)
−0.425937 + 0.904753i \(0.640055\pi\)
\(654\) 2.90619 + 5.03367i 0.113641 + 0.196832i
\(655\) 5.95418 + 10.7776i 0.232649 + 0.421115i
\(656\) 6.06017i 0.236610i
\(657\) −15.9066 + 59.3641i −0.620574 + 2.31601i
\(658\) 17.6727i 0.688953i
\(659\) 2.86699 4.96578i 0.111682 0.193439i −0.804766 0.593592i \(-0.797709\pi\)
0.916449 + 0.400152i \(0.131043\pi\)
\(660\) −16.7812 30.3755i −0.653209 1.18236i
\(661\) 26.4406 7.08473i 1.02842 0.275564i 0.295112 0.955463i \(-0.404643\pi\)
0.733306 + 0.679899i \(0.237976\pi\)
\(662\) 0.570816 + 2.13031i 0.0221854 + 0.0827970i
\(663\) 4.15729 1.11394i 0.161456 0.0432619i
\(664\) −0.519789 + 1.93988i −0.0201717 + 0.0752818i
\(665\) 20.5046 + 5.91103i 0.795136 + 0.229220i
\(666\) −3.28464 + 33.8788i −0.127277 + 1.31278i
\(667\) 9.74514 9.74514i 0.377333 0.377333i
\(668\) 14.0365 8.10399i 0.543090 0.313553i
\(669\) 40.7961 70.6609i 1.57727 2.73191i
\(670\) −7.92172 0.149489i −0.306043 0.00577525i
\(671\) −1.12569 4.20112i −0.0434567 0.162183i
\(672\) 5.15518i 0.198865i
\(673\) 9.38545 2.51482i 0.361783 0.0969393i −0.0733487 0.997306i \(-0.523369\pi\)
0.435131 + 0.900367i \(0.356702\pi\)
\(674\) 15.1705 + 15.1705i 0.584345 + 0.584345i
\(675\) 27.9027 25.8724i 1.07397 0.995830i
\(676\) −12.8432 −0.493970
\(677\) 15.7154 + 15.7154i 0.603991 + 0.603991i 0.941369 0.337378i \(-0.109540\pi\)
−0.337378 + 0.941369i \(0.609540\pi\)
\(678\) 12.7466 47.5711i 0.489532 1.82696i
\(679\) 18.2821 4.89866i 0.701601 0.187993i
\(680\) −2.29645 + 7.96612i −0.0880650 + 0.305487i
\(681\) −13.0777 + 48.8068i −0.501140 + 1.87028i
\(682\) 27.1503 + 7.27489i 1.03964 + 0.278570i
\(683\) 20.7880 + 36.0059i 0.795430 + 1.37773i 0.922566 + 0.385840i \(0.126088\pi\)
−0.127135 + 0.991885i \(0.540578\pi\)
\(684\) 7.86059 + 29.3361i 0.300557 + 1.12169i
\(685\) −0.872849 + 46.2541i −0.0333498 + 1.76728i
\(686\) 4.96425 18.5268i 0.189536 0.707357i
\(687\) 6.10300 22.7767i 0.232844 0.868986i
\(688\) −4.32646 7.49365i −0.164945 0.285693i
\(689\) −2.52120 2.52120i −0.0960502 0.0960502i
\(690\) −0.900542 + 47.7216i −0.0342831 + 1.81673i
\(691\) 37.3098 21.5408i 1.41933 0.819451i 0.423091 0.906087i \(-0.360945\pi\)
0.996240 + 0.0866365i \(0.0276119\pi\)
\(692\) −9.42803 + 9.42803i −0.358400 + 0.358400i
\(693\) 36.8283 36.8283i 1.39899 1.39899i
\(694\) 7.69985 + 13.3365i 0.292282 + 0.506248i
\(695\) −47.7325 13.7602i −1.81060 0.521955i
\(696\) 4.80629 + 2.77491i 0.182182 + 0.105183i
\(697\) −22.4689 −0.851070
\(698\) 10.8175 + 6.24552i 0.409450 + 0.236396i
\(699\) −54.0624 31.2129i −2.04483 1.18058i
\(700\) −2.59423 + 8.40022i −0.0980525 + 0.317498i
\(701\) 23.0701 + 6.18163i 0.871347 + 0.233477i 0.666670 0.745353i \(-0.267719\pi\)
0.204677 + 0.978830i \(0.434386\pi\)
\(702\) 2.13068 + 2.13068i 0.0804173 + 0.0804173i
\(703\) −20.9829 25.4884i −0.791384 0.961313i
\(704\) 5.29342i 0.199503i
\(705\) −63.9564 + 15.8500i −2.40874 + 0.596947i
\(706\) −11.9913 6.92318i −0.451298 0.260557i
\(707\) −2.10352 + 0.563637i −0.0791111 + 0.0211978i
\(708\) −8.49153 + 14.7078i −0.319131 + 0.552752i
\(709\) −21.5173 21.5173i −0.808098 0.808098i 0.176248 0.984346i \(-0.443604\pi\)
−0.984346 + 0.176248i \(0.943604\pi\)
\(710\) −3.94590 + 3.79973i −0.148087 + 0.142601i
\(711\) 50.9757 50.9757i 1.91174 1.91174i
\(712\) 0.441597 + 0.118325i 0.0165495 + 0.00443443i
\(713\) −27.3366 27.3366i −1.02376 1.02376i
\(714\) −19.1135 −0.715306
\(715\) 4.54889 1.12733i 0.170119 0.0421598i
\(716\) −2.03459 7.59321i −0.0760363 0.283771i
\(717\) −27.9880 −1.04523
\(718\) −22.4654 + 12.9704i −0.838402 + 0.484052i
\(719\) 18.6677 10.7778i 0.696188 0.401944i −0.109738 0.993961i \(-0.535001\pi\)
0.805926 + 0.592016i \(0.201668\pi\)
\(720\) −12.1451 + 3.00986i −0.452621 + 0.112171i
\(721\) 26.6413 7.13852i 0.992174 0.265852i
\(722\) −9.05673 5.22891i −0.337057 0.194600i
\(723\) 10.1725 5.87309i 0.378319 0.218423i
\(724\) 1.28072 + 2.21827i 0.0475974 + 0.0824412i
\(725\) 6.43530 + 6.94030i 0.239001 + 0.257756i
\(726\) 35.2853 35.2853i 1.30956 1.30956i
\(727\) 13.8287 23.9521i 0.512879 0.888333i −0.487009 0.873397i \(-0.661912\pi\)
0.999888 0.0149359i \(-0.00475442\pi\)
\(728\) −0.672471 0.180188i −0.0249234 0.00667821i
\(729\) 36.0197i 1.33406i
\(730\) 21.4964 11.8759i 0.795618 0.439547i
\(731\) 27.7837 16.0409i 1.02762 0.593295i
\(732\) −2.40895 −0.0890373
\(733\) −11.3795 42.4690i −0.420312 1.56863i −0.773951 0.633245i \(-0.781723\pi\)
0.353639 0.935382i \(-0.384944\pi\)
\(734\) 3.28157 3.28157i 0.121125 0.121125i
\(735\) 25.6172 + 0.483416i 0.944906 + 0.0178311i
\(736\) 3.64029 6.30516i 0.134183 0.232411i
\(737\) −4.85450 18.1172i −0.178818 0.667357i
\(738\) −16.9556 29.3680i −0.624145 1.08105i
\(739\) 33.8211 1.24413 0.622064 0.782967i \(-0.286294\pi\)
0.622064 + 0.782967i \(0.286294\pi\)
\(740\) 10.6621 8.44503i 0.391948 0.310446i
\(741\) −6.30043 −0.231452
\(742\) 7.91712 + 13.7129i 0.290647 + 0.503415i
\(743\) −0.0771256 0.287837i −0.00282946 0.0105597i 0.964497 0.264095i \(-0.0850733\pi\)
−0.967326 + 0.253535i \(0.918407\pi\)
\(744\) 7.78405 13.4824i 0.285377 0.494288i
\(745\) −12.4033 12.8804i −0.454422 0.471903i
\(746\) 10.2492 10.2492i 0.375251 0.375251i
\(747\) −2.90861 10.8551i −0.106420 0.397166i
\(748\) −19.6261 −0.717600
\(749\) 4.71451 2.72192i 0.172264 0.0994569i
\(750\) −32.7266 1.85449i −1.19501 0.0677163i
\(751\) 42.9846i 1.56853i 0.620426 + 0.784265i \(0.286960\pi\)
−0.620426 + 0.784265i \(0.713040\pi\)
\(752\) 9.70832 + 2.60134i 0.354026 + 0.0948610i
\(753\) 14.0849 24.3958i 0.513282 0.889031i
\(754\) −0.529969 + 0.529969i −0.0193003 + 0.0193003i
\(755\) −31.0245 + 7.68866i −1.12910 + 0.279819i
\(756\) −6.69079 11.5888i −0.243342 0.421480i
\(757\) 9.93843 5.73795i 0.361218 0.208549i −0.308397 0.951258i \(-0.599792\pi\)
0.669615 + 0.742708i \(0.266459\pi\)
\(758\) 3.28199 + 1.89486i 0.119207 + 0.0688244i
\(759\) −109.141 + 29.2442i −3.96157 + 1.06150i
\(760\) 6.26536 10.3940i 0.227268 0.377028i
\(761\) −43.7719 + 25.2717i −1.58673 + 0.916100i −0.592890 + 0.805283i \(0.702013\pi\)
−0.993841 + 0.110817i \(0.964653\pi\)
\(762\) 8.16768 4.71561i 0.295884 0.170829i
\(763\) 3.48589 0.126198
\(764\) −1.18214 4.41182i −0.0427685 0.159614i
\(765\) −11.1595 45.0295i −0.403471 1.62805i
\(766\) 31.3749 1.13362
\(767\) −1.62176 1.62176i −0.0585584 0.0585584i
\(768\) 2.83195 + 0.758819i 0.102189 + 0.0273815i
\(769\) 20.6641 20.6641i 0.745167