Properties

Label 392.2.z.a.37.6
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.6
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37066 + 0.348278i) q^{2} +(1.48945 + 1.60524i) q^{3} +(1.75740 - 0.954740i) q^{4} +(-1.25029 + 4.05335i) q^{5} +(-2.60059 - 1.68150i) q^{6} +(2.55536 - 0.685667i) q^{7} +(-2.07629 + 1.92069i) q^{8} +(-0.134159 + 1.79023i) q^{9} +O(q^{10})\) \(q+(-1.37066 + 0.348278i) q^{2} +(1.48945 + 1.60524i) q^{3} +(1.75740 - 0.954740i) q^{4} +(-1.25029 + 4.05335i) q^{5} +(-2.60059 - 1.68150i) q^{6} +(2.55536 - 0.685667i) q^{7} +(-2.07629 + 1.92069i) q^{8} +(-0.134159 + 1.79023i) q^{9} +(0.302031 - 5.99121i) q^{10} +(5.31750 - 0.398492i) q^{11} +(4.15015 + 1.39903i) q^{12} +(-1.33482 + 2.77179i) q^{13} +(-3.26372 + 1.82979i) q^{14} +(-8.36885 + 4.03023i) q^{15} +(2.17694 - 3.35573i) q^{16} +(0.221290 + 0.0333541i) q^{17} +(-0.439612 - 2.50052i) q^{18} +(-4.52324 - 2.61149i) q^{19} +(1.67262 + 8.31708i) q^{20} +(4.90673 + 3.08071i) q^{21} +(-7.14969 + 2.39817i) q^{22} +(2.76583 - 0.416882i) q^{23} +(-6.17568 - 0.472179i) q^{24} +(-10.7352 - 7.31915i) q^{25} +(0.864232 - 4.26406i) q^{26} +(2.06260 - 1.64487i) q^{27} +(3.83617 - 3.64470i) q^{28} +(-1.75874 - 1.40254i) q^{29} +(10.0672 - 8.43875i) q^{30} +(-0.285976 - 0.495326i) q^{31} +(-1.81512 + 5.35774i) q^{32} +(8.55981 + 7.94235i) q^{33} +(-0.314929 + 0.0313534i) q^{34} +(-0.415701 + 11.2151i) q^{35} +(1.47343 + 3.27425i) q^{36} +(2.64765 - 1.03913i) q^{37} +(7.10934 + 2.00412i) q^{38} +(-6.43754 + 1.98572i) q^{39} +(-5.18925 - 10.8173i) q^{40} +(-0.686642 - 3.00838i) q^{41} +(-7.79839 - 2.51369i) q^{42} +(-7.43650 - 1.69733i) q^{43} +(8.96455 - 5.77714i) q^{44} +(-7.08870 - 2.78211i) q^{45} +(-3.64582 + 1.53468i) q^{46} +(-9.37630 + 6.39265i) q^{47} +(8.62920 - 1.50366i) q^{48} +(6.05972 - 3.50425i) q^{49} +(17.2634 + 6.29321i) q^{50} +(0.276058 + 0.404903i) q^{51} +(0.300513 + 6.14556i) q^{52} +(-0.164186 - 0.0644382i) q^{53} +(-2.25425 + 2.97291i) q^{54} +(-5.03321 + 22.0519i) q^{55} +(-3.98870 + 6.33169i) q^{56} +(-2.54505 - 11.1506i) q^{57} +(2.89910 + 1.30988i) q^{58} +(2.49119 + 8.07623i) q^{59} +(-10.8596 + 15.0728i) q^{60} +(-1.03222 + 0.405116i) q^{61} +(0.564487 + 0.579323i) q^{62} +(0.884677 + 4.66668i) q^{63} +(0.621921 - 7.97579i) q^{64} +(-9.56611 - 8.87605i) q^{65} +(-14.4987 - 7.90504i) q^{66} +(11.4437 - 6.60700i) q^{67} +(0.420740 - 0.152658i) q^{68} +(4.78875 + 3.81890i) q^{69} +(-3.33617 - 15.5168i) q^{70} +(-0.725683 - 0.909977i) q^{71} +(-3.15992 - 3.97471i) q^{72} +(6.74083 + 4.59582i) q^{73} +(-3.26712 + 2.34641i) q^{74} +(-4.24054 - 28.1341i) q^{75} +(-10.4425 - 0.270933i) q^{76} +(13.3149 - 4.66432i) q^{77} +(8.13208 - 4.96379i) q^{78} +(4.67829 - 8.10303i) q^{79} +(10.8801 + 13.0196i) q^{80} +(11.0381 + 1.66373i) q^{81} +(1.98890 + 3.88431i) q^{82} +(1.51482 + 3.14556i) q^{83} +(11.5644 + 0.729394i) q^{84} +(-0.411873 + 0.855263i) q^{85} +(10.7840 - 0.263508i) q^{86} +(-0.368119 - 4.91221i) q^{87} +(-10.2753 + 11.0406i) q^{88} +(0.794611 - 10.6034i) q^{89} +(10.6851 + 1.34448i) q^{90} +(-1.51043 + 7.99816i) q^{91} +(4.46267 - 3.37328i) q^{92} +(0.369171 - 1.19682i) q^{93} +(10.6253 - 12.0277i) q^{94} +(16.2407 - 15.0691i) q^{95} +(-11.3040 + 5.06636i) q^{96} +8.28730 q^{97} +(-7.08535 + 6.91359i) q^{98} +9.57303i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37066 + 0.348278i −0.969201 + 0.246270i
\(3\) 1.48945 + 1.60524i 0.859933 + 0.926787i 0.997973 0.0636398i \(-0.0202709\pi\)
−0.138040 + 0.990427i \(0.544080\pi\)
\(4\) 1.75740 0.954740i 0.878702 0.477370i
\(5\) −1.25029 + 4.05335i −0.559148 + 1.81271i 0.0231418 + 0.999732i \(0.492633\pi\)
−0.582290 + 0.812981i \(0.697843\pi\)
\(6\) −2.60059 1.68150i −1.06169 0.686468i
\(7\) 2.55536 0.685667i 0.965835 0.259158i
\(8\) −2.07629 + 1.92069i −0.734078 + 0.679065i
\(9\) −0.134159 + 1.79023i −0.0447198 + 0.596744i
\(10\) 0.302031 5.99121i 0.0955105 1.89459i
\(11\) 5.31750 0.398492i 1.60329 0.120150i 0.757196 0.653188i \(-0.226569\pi\)
0.846091 + 0.533038i \(0.178950\pi\)
\(12\) 4.15015 + 1.39903i 1.19804 + 0.403864i
\(13\) −1.33482 + 2.77179i −0.370213 + 0.768756i −0.999968 0.00803866i \(-0.997441\pi\)
0.629755 + 0.776794i \(0.283155\pi\)
\(14\) −3.26372 + 1.82979i −0.872266 + 0.489032i
\(15\) −8.36885 + 4.03023i −2.16083 + 1.04060i
\(16\) 2.17694 3.35573i 0.544236 0.838932i
\(17\) 0.221290 + 0.0333541i 0.0536707 + 0.00808955i 0.175823 0.984422i \(-0.443741\pi\)
−0.122152 + 0.992511i \(0.538980\pi\)
\(18\) −0.439612 2.50052i −0.103618 0.589379i
\(19\) −4.52324 2.61149i −1.03770 0.599118i −0.118521 0.992952i \(-0.537815\pi\)
−0.919182 + 0.393834i \(0.871148\pi\)
\(20\) 1.67262 + 8.31708i 0.374010 + 1.85976i
\(21\) 4.90673 + 3.08071i 1.07074 + 0.672265i
\(22\) −7.14969 + 2.39817i −1.52432 + 0.511291i
\(23\) 2.76583 0.416882i 0.576716 0.0869259i 0.145794 0.989315i \(-0.453426\pi\)
0.430922 + 0.902389i \(0.358188\pi\)
\(24\) −6.17568 0.472179i −1.26061 0.0963831i
\(25\) −10.7352 7.31915i −2.14704 1.46383i
\(26\) 0.864232 4.26406i 0.169490 0.836251i
\(27\) 2.06260 1.64487i 0.396947 0.316555i
\(28\) 3.83617 3.64470i 0.724968 0.688783i
\(29\) −1.75874 1.40254i −0.326589 0.260446i 0.446444 0.894811i \(-0.352690\pi\)
−0.773033 + 0.634365i \(0.781261\pi\)
\(30\) 10.0672 8.43875i 1.83801 1.54070i
\(31\) −0.285976 0.495326i −0.0513629 0.0889631i 0.839201 0.543822i \(-0.183023\pi\)
−0.890564 + 0.454858i \(0.849690\pi\)
\(32\) −1.81512 + 5.35774i −0.320870 + 0.947123i
\(33\) 8.55981 + 7.94235i 1.49007 + 1.38258i
\(34\) −0.314929 + 0.0313534i −0.0540099 + 0.00537706i
\(35\) −0.415701 + 11.2151i −0.0702664 + 1.89569i
\(36\) 1.47343 + 3.27425i 0.245572 + 0.545709i
\(37\) 2.64765 1.03913i 0.435271 0.170831i −0.137580 0.990491i \(-0.543932\pi\)
0.572851 + 0.819659i \(0.305837\pi\)
\(38\) 7.10934 + 2.00412i 1.15329 + 0.325111i
\(39\) −6.43754 + 1.98572i −1.03083 + 0.317969i
\(40\) −5.18925 10.8173i −0.820493 1.71037i
\(41\) −0.686642 3.00838i −0.107235 0.469829i −0.999820 0.0189500i \(-0.993968\pi\)
0.892585 0.450879i \(-0.148889\pi\)
\(42\) −7.79839 2.51369i −1.20332 0.387870i
\(43\) −7.43650 1.69733i −1.13406 0.258841i −0.386014 0.922493i \(-0.626148\pi\)
−0.748041 + 0.663652i \(0.769006\pi\)
\(44\) 8.96455 5.77714i 1.35146 0.870937i
\(45\) −7.08870 2.78211i −1.05672 0.414733i
\(46\) −3.64582 + 1.53468i −0.537546 + 0.226276i
\(47\) −9.37630 + 6.39265i −1.36767 + 0.932464i −0.367677 + 0.929954i \(0.619847\pi\)
−0.999997 + 0.00251019i \(0.999201\pi\)
\(48\) 8.62920 1.50366i 1.24552 0.217035i
\(49\) 6.05972 3.50425i 0.865675 0.500607i
\(50\) 17.2634 + 6.29321i 2.44142 + 0.889994i
\(51\) 0.276058 + 0.404903i 0.0386559 + 0.0566977i
\(52\) 0.300513 + 6.14556i 0.0416736 + 0.852236i
\(53\) −0.164186 0.0644382i −0.0225527 0.00885127i 0.354038 0.935231i \(-0.384808\pi\)
−0.376591 + 0.926380i \(0.622904\pi\)
\(54\) −2.25425 + 2.97291i −0.306764 + 0.404562i
\(55\) −5.03321 + 22.0519i −0.678678 + 2.97348i
\(56\) −3.98870 + 6.33169i −0.533013 + 0.846107i
\(57\) −2.54505 11.1506i −0.337100 1.47693i
\(58\) 2.89910 + 1.30988i 0.380670 + 0.171996i
\(59\) 2.49119 + 8.07623i 0.324325 + 1.05143i 0.960123 + 0.279579i \(0.0901950\pi\)
−0.635798 + 0.771856i \(0.719329\pi\)
\(60\) −10.8596 + 15.0728i −1.40197 + 1.94589i
\(61\) −1.03222 + 0.405116i −0.132162 + 0.0518698i −0.430500 0.902590i \(-0.641663\pi\)
0.298338 + 0.954460i \(0.403568\pi\)
\(62\) 0.564487 + 0.579323i 0.0716899 + 0.0735740i
\(63\) 0.884677 + 4.66668i 0.111459 + 0.587946i
\(64\) 0.621921 7.97579i 0.0777401 0.996974i
\(65\) −9.56611 8.87605i −1.18653 1.10094i
\(66\) −14.4987 7.90504i −1.78467 0.973043i
\(67\) 11.4437 6.60700i 1.39807 0.807174i 0.403876 0.914814i \(-0.367663\pi\)
0.994190 + 0.107640i \(0.0343295\pi\)
\(68\) 0.420740 0.152658i 0.0510222 0.0185125i
\(69\) 4.78875 + 3.81890i 0.576498 + 0.459742i
\(70\) −3.33617 15.5168i −0.398749 1.85461i
\(71\) −0.725683 0.909977i −0.0861227 0.107994i 0.736903 0.675998i \(-0.236287\pi\)
−0.823026 + 0.568004i \(0.807716\pi\)
\(72\) −3.15992 3.97471i −0.372401 0.468424i
\(73\) 6.74083 + 4.59582i 0.788955 + 0.537900i 0.889447 0.457038i \(-0.151090\pi\)
−0.100493 + 0.994938i \(0.532042\pi\)
\(74\) −3.26712 + 2.34641i −0.379795 + 0.272764i
\(75\) −4.24054 28.1341i −0.489655 3.24865i
\(76\) −10.4425 0.270933i −1.19783 0.0310782i
\(77\) 13.3149 4.66432i 1.51737 0.531549i
\(78\) 8.13208 4.96379i 0.920776 0.562039i
\(79\) 4.67829 8.10303i 0.526348 0.911662i −0.473180 0.880966i \(-0.656894\pi\)
0.999529 0.0306965i \(-0.00977252\pi\)
\(80\) 10.8801 + 13.0196i 1.21644 + 1.45563i
\(81\) 11.0381 + 1.66373i 1.22646 + 0.184859i
\(82\) 1.98890 + 3.88431i 0.219638 + 0.428950i
\(83\) 1.51482 + 3.14556i 0.166273 + 0.345270i 0.967411 0.253209i \(-0.0814862\pi\)
−0.801138 + 0.598479i \(0.795772\pi\)
\(84\) 11.5644 + 0.729394i 1.26178 + 0.0795834i
\(85\) −0.411873 + 0.855263i −0.0446739 + 0.0927663i
\(86\) 10.7840 0.263508i 1.16287 0.0284148i
\(87\) −0.368119 4.91221i −0.0394665 0.526644i
\(88\) −10.2753 + 11.0406i −1.09535 + 1.17694i
\(89\) 0.794611 10.6034i 0.0842286 1.12395i −0.781656 0.623710i \(-0.785625\pi\)
0.865885 0.500243i \(-0.166756\pi\)
\(90\) 10.6851 + 1.34448i 1.12631 + 0.141721i
\(91\) −1.51043 + 7.99816i −0.158336 + 0.838435i
\(92\) 4.46267 3.37328i 0.465266 0.351689i
\(93\) 0.369171 1.19682i 0.0382812 0.124105i
\(94\) 10.6253 12.0277i 1.09591 1.24056i
\(95\) 16.2407 15.0691i 1.66626 1.54606i
\(96\) −11.3040 + 5.06636i −1.15371 + 0.517084i
\(97\) 8.28730 0.841448 0.420724 0.907189i \(-0.361776\pi\)
0.420724 + 0.907189i \(0.361776\pi\)
\(98\) −7.08535 + 6.91359i −0.715729 + 0.698378i
\(99\) 9.57303i 0.962126i
\(100\) −25.8540 2.61336i −2.58540 0.261336i
\(101\) −11.9832 12.9148i −1.19237 1.28507i −0.949051 0.315121i \(-0.897955\pi\)
−0.243317 0.969947i \(-0.578236\pi\)
\(102\) −0.519400 0.458838i −0.0514282 0.0454317i
\(103\) 8.22729 + 2.53778i 0.810659 + 0.250055i 0.672254 0.740321i \(-0.265326\pi\)
0.138405 + 0.990376i \(0.455803\pi\)
\(104\) −2.55226 8.31880i −0.250270 0.815725i
\(105\) −18.6220 + 16.0369i −1.81732 + 1.56504i
\(106\) 0.247485 + 0.0311404i 0.0240379 + 0.00302462i
\(107\) 2.16913 + 0.162554i 0.209698 + 0.0157147i 0.179165 0.983819i \(-0.442661\pi\)
0.0305329 + 0.999534i \(0.490280\pi\)
\(108\) 2.05440 4.85994i 0.197685 0.467648i
\(109\) −1.63739 + 0.122705i −0.156833 + 0.0117530i −0.152915 0.988239i \(-0.548866\pi\)
−0.00391801 + 0.999992i \(0.501247\pi\)
\(110\) −0.781397 31.9786i −0.0745033 3.04904i
\(111\) 5.61158 + 2.70240i 0.532628 + 0.256500i
\(112\) 3.26196 10.0678i 0.308226 0.951313i
\(113\) −11.4471 + 5.51263i −1.07685 + 0.518585i −0.886309 0.463094i \(-0.846739\pi\)
−0.190543 + 0.981679i \(0.561025\pi\)
\(114\) 7.37189 + 14.3972i 0.690440 + 1.34842i
\(115\) −1.76833 + 11.7321i −0.164898 + 1.09402i
\(116\) −4.42988 0.785704i −0.411304 0.0729508i
\(117\) −4.78307 2.76151i −0.442195 0.255301i
\(118\) −6.22733 10.2021i −0.573273 0.939181i
\(119\) 0.588345 0.0664994i 0.0539335 0.00609599i
\(120\) 9.63532 24.4419i 0.879580 2.23123i
\(121\) 17.2399 2.59850i 1.56726 0.236227i
\(122\) 1.27373 0.914775i 0.115318 0.0828199i
\(123\) 3.80645 5.58304i 0.343216 0.503406i
\(124\) −0.975483 0.597454i −0.0876010 0.0536530i
\(125\) 26.5074 21.1389i 2.37089 1.89072i
\(126\) −2.83789 6.08830i −0.252819 0.542389i
\(127\) 2.61957 3.28484i 0.232450 0.291483i −0.651903 0.758303i \(-0.726029\pi\)
0.884352 + 0.466820i \(0.154600\pi\)
\(128\) 1.92535 + 11.1487i 0.170179 + 0.985413i
\(129\) −8.35164 14.4655i −0.735321 1.27361i
\(130\) 16.2032 + 8.83436i 1.42111 + 0.774825i
\(131\) −1.27724 + 1.37653i −0.111593 + 0.120268i −0.786378 0.617746i \(-0.788046\pi\)
0.674785 + 0.738014i \(0.264236\pi\)
\(132\) 22.6259 + 5.78552i 1.96933 + 0.503565i
\(133\) −13.3491 3.57187i −1.15752 0.309720i
\(134\) −13.3843 + 13.0415i −1.15622 + 1.12661i
\(135\) 4.08837 + 10.4170i 0.351871 + 0.896553i
\(136\) −0.523524 + 0.355776i −0.0448918 + 0.0305075i
\(137\) 8.46929 2.61243i 0.723580 0.223195i 0.0889777 0.996034i \(-0.471640\pi\)
0.634603 + 0.772839i \(0.281164\pi\)
\(138\) −7.89378 3.56659i −0.671964 0.303609i
\(139\) −8.82260 + 2.01370i −0.748323 + 0.170800i −0.579642 0.814871i \(-0.696808\pi\)
−0.168680 + 0.985671i \(0.553951\pi\)
\(140\) 9.97690 + 20.1063i 0.843202 + 1.69929i
\(141\) −24.2272 5.52971i −2.04030 0.465686i
\(142\) 1.31159 + 0.994528i 0.110066 + 0.0834589i
\(143\) −5.99339 + 15.2709i −0.501192 + 1.27702i
\(144\) 5.71548 + 4.34744i 0.476290 + 0.362287i
\(145\) 7.88394 5.37518i 0.654726 0.446384i
\(146\) −10.8400 3.95161i −0.897124 0.327038i
\(147\) 14.6508 + 4.50793i 1.20838 + 0.371808i
\(148\) 3.66090 4.35398i 0.300924 0.357895i
\(149\) −3.39654 4.98181i −0.278255 0.408126i 0.661515 0.749932i \(-0.269914\pi\)
−0.939770 + 0.341806i \(0.888961\pi\)
\(150\) 15.6108 + 37.0854i 1.27462 + 3.02801i
\(151\) 1.34353 3.42325i 0.109335 0.278580i −0.865726 0.500518i \(-0.833143\pi\)
0.975061 + 0.221938i \(0.0712382\pi\)
\(152\) 14.4074 3.26552i 1.16859 0.264869i
\(153\) −0.0893997 + 0.391686i −0.00722754 + 0.0316659i
\(154\) −16.6257 + 11.0305i −1.33974 + 0.888861i
\(155\) 2.36528 0.539860i 0.189984 0.0433626i
\(156\) −9.41751 + 9.63588i −0.754005 + 0.771488i
\(157\) 0.796574 + 2.58243i 0.0635735 + 0.206100i 0.981787 0.189986i \(-0.0608443\pi\)
−0.918213 + 0.396086i \(0.870368\pi\)
\(158\) −3.59022 + 12.7358i −0.285623 + 1.01321i
\(159\) −0.141107 0.359535i −0.0111905 0.0285130i
\(160\) −19.4474 14.0560i −1.53745 1.11123i
\(161\) 6.78185 2.96172i 0.534485 0.233416i
\(162\) −15.7090 + 1.56394i −1.23421 + 0.122874i
\(163\) −2.34540 + 2.52774i −0.183706 + 0.197988i −0.818190 0.574948i \(-0.805022\pi\)
0.634484 + 0.772936i \(0.281213\pi\)
\(164\) −4.07892 4.63137i −0.318510 0.361649i
\(165\) −42.8954 + 24.7657i −3.33940 + 1.92800i
\(166\) −3.17183 3.78390i −0.246182 0.293688i
\(167\) 6.51007 8.16337i 0.503765 0.631701i −0.463309 0.886197i \(-0.653338\pi\)
0.967074 + 0.254496i \(0.0819095\pi\)
\(168\) −16.1048 + 3.02787i −1.24252 + 0.233606i
\(169\) 2.20431 + 2.76412i 0.169562 + 0.212625i
\(170\) 0.266667 1.31572i 0.0204525 0.100911i
\(171\) 5.28202 7.74730i 0.403926 0.592451i
\(172\) −14.6895 + 4.11702i −1.12006 + 0.313920i
\(173\) 0.296646 + 1.96812i 0.0225536 + 0.149633i 0.997273 0.0737985i \(-0.0235122\pi\)
−0.974720 + 0.223432i \(0.928274\pi\)
\(174\) 2.21538 + 6.60475i 0.167948 + 0.500705i
\(175\) −32.4509 11.3423i −2.45305 0.857396i
\(176\) 10.2387 18.7116i 0.771769 1.41044i
\(177\) −9.25381 + 16.0281i −0.695559 + 1.20474i
\(178\) 2.60377 + 14.8103i 0.195161 + 1.11008i
\(179\) −3.59473 + 23.8495i −0.268683 + 1.78260i 0.293881 + 0.955842i \(0.405053\pi\)
−0.562564 + 0.826754i \(0.690185\pi\)
\(180\) −15.1139 + 1.87857i −1.12652 + 0.140021i
\(181\) 5.28659 + 10.9777i 0.392949 + 0.815968i 0.999777 + 0.0211341i \(0.00672771\pi\)
−0.606827 + 0.794834i \(0.707558\pi\)
\(182\) −0.715301 11.4888i −0.0530216 0.851605i
\(183\) −2.18775 1.05356i −0.161723 0.0778816i
\(184\) −4.94195 + 6.17786i −0.364326 + 0.455438i
\(185\) 0.901604 + 12.0311i 0.0662872 + 0.884542i
\(186\) −0.0891798 + 1.76901i −0.00653898 + 0.129710i
\(187\) 1.19000 + 0.0891782i 0.0870214 + 0.00652136i
\(188\) −10.3746 + 20.1864i −0.756648 + 1.47224i
\(189\) 4.14285 5.61748i 0.301348 0.408612i
\(190\) −17.0121 + 26.3109i −1.23419 + 1.90879i
\(191\) −15.3923 4.74791i −1.11375 0.343546i −0.317345 0.948310i \(-0.602791\pi\)
−0.796405 + 0.604764i \(0.793268\pi\)
\(192\) 13.7294 10.8812i 0.990833 0.785282i
\(193\) −6.07004 + 5.63217i −0.436931 + 0.405412i −0.867730 0.497035i \(-0.834422\pi\)
0.430800 + 0.902448i \(0.358232\pi\)
\(194\) −11.3591 + 2.88629i −0.815533 + 0.207223i
\(195\) 28.5763i 2.04639i
\(196\) 7.30374 11.9438i 0.521696 0.853132i
\(197\) 12.7093i 0.905500i 0.891637 + 0.452750i \(0.149557\pi\)
−0.891637 + 0.452750i \(0.850443\pi\)
\(198\) −3.33408 13.1213i −0.236943 0.932494i
\(199\) 11.4815 10.6533i 0.813901 0.755190i −0.158785 0.987313i \(-0.550758\pi\)
0.972686 + 0.232123i \(0.0745672\pi\)
\(200\) 36.3472 5.42236i 2.57013 0.383419i
\(201\) 27.6506 + 8.52907i 1.95032 + 0.601594i
\(202\) 20.9227 + 13.5283i 1.47212 + 0.951845i
\(203\) −5.45588 2.37810i −0.382928 0.166910i
\(204\) 0.871723 + 0.448014i 0.0610328 + 0.0313673i
\(205\) 13.0525 + 0.978150i 0.911626 + 0.0683170i
\(206\) −12.1606 0.613046i −0.847272 0.0427130i
\(207\) 0.375254 + 5.00741i 0.0260819 + 0.348039i
\(208\) 6.39554 + 10.5133i 0.443451 + 0.728968i
\(209\) −25.0930 12.0841i −1.73572 0.835878i
\(210\) 19.9391 28.4668i 1.37593 1.96439i
\(211\) 4.17863 + 8.67702i 0.287669 + 0.597351i 0.993857 0.110674i \(-0.0353009\pi\)
−0.706188 + 0.708025i \(0.749587\pi\)
\(212\) −0.350063 + 0.0435108i −0.0240424 + 0.00298833i
\(213\) 0.379868 2.52026i 0.0260281 0.172685i
\(214\) −3.02975 + 0.532654i −0.207109 + 0.0364115i
\(215\) 16.1777 28.0206i 1.10331 1.91099i
\(216\) −1.12327 + 7.37682i −0.0764286 + 0.501929i
\(217\) −1.07040 1.06965i −0.0726635 0.0726126i
\(218\) 2.20156 0.738454i 0.149109 0.0500144i
\(219\) 2.66270 + 17.6659i 0.179929 + 1.19375i
\(220\) 12.2085 + 43.5596i 0.823095 + 2.93679i
\(221\) −0.387833 + 0.568847i −0.0260885 + 0.0382648i
\(222\) −8.63275 1.74967i −0.579392 0.117430i
\(223\) −0.0356433 0.0446953i −0.00238685 0.00299302i 0.780637 0.624985i \(-0.214895\pi\)
−0.783023 + 0.621992i \(0.786324\pi\)
\(224\) −0.964654 + 14.9355i −0.0644537 + 0.997921i
\(225\) 14.5432 18.2366i 0.969548 1.21577i
\(226\) 13.7701 11.5427i 0.915975 0.767809i
\(227\) −3.40537 + 1.96609i −0.226022 + 0.130494i −0.608736 0.793373i \(-0.708323\pi\)
0.382713 + 0.923867i \(0.374990\pi\)
\(228\) −15.1186 17.1662i −1.00125 1.13686i
\(229\) −5.79349 + 6.24390i −0.382845 + 0.412608i −0.894845 0.446377i \(-0.852714\pi\)
0.512000 + 0.858985i \(0.328905\pi\)
\(230\) −1.66226 16.6966i −0.109606 1.10094i
\(231\) 27.3192 + 14.4264i 1.79747 + 0.949185i
\(232\) 6.34549 0.465898i 0.416602 0.0305877i
\(233\) −7.33306 18.6843i −0.480405 1.22405i −0.941594 0.336750i \(-0.890672\pi\)
0.461189 0.887302i \(-0.347423\pi\)
\(234\) 7.51772 + 2.11924i 0.491449 + 0.138539i
\(235\) −14.1885 45.9981i −0.925558 3.00059i
\(236\) 12.0887 + 11.8148i 0.786908 + 0.769075i
\(237\) 19.9754 4.55925i 1.29754 0.296155i
\(238\) −0.783259 + 0.296055i −0.0507711 + 0.0191904i
\(239\) −3.58273 + 15.6970i −0.231747 + 1.01535i 0.716442 + 0.697647i \(0.245769\pi\)
−0.948190 + 0.317705i \(0.897088\pi\)
\(240\) −4.69417 + 36.8572i −0.303007 + 2.37912i
\(241\) 1.95698 4.98630i 0.126060 0.321196i −0.853886 0.520461i \(-0.825760\pi\)
0.979946 + 0.199265i \(0.0638555\pi\)
\(242\) −22.7250 + 9.56593i −1.46082 + 0.614921i
\(243\) 9.31165 + 13.6577i 0.597342 + 0.876141i
\(244\) −1.42725 + 1.69745i −0.0913701 + 0.108668i
\(245\) 6.62752 + 28.9435i 0.423417 + 1.84913i
\(246\) −3.27289 + 8.97814i −0.208672 + 0.572425i
\(247\) 13.2762 9.05158i 0.844746 0.575938i
\(248\) 1.54513 + 0.479166i 0.0981161 + 0.0304271i
\(249\) −2.79314 + 7.11679i −0.177008 + 0.451009i
\(250\) −28.9703 + 38.2062i −1.83224 + 2.41637i
\(251\) −2.99498 0.683586i −0.189042 0.0431475i 0.126952 0.991909i \(-0.459481\pi\)
−0.315994 + 0.948761i \(0.602338\pi\)
\(252\) 6.01020 + 7.35661i 0.378607 + 0.463423i
\(253\) 14.5412 3.31893i 0.914197 0.208659i
\(254\) −2.44650 + 5.41473i −0.153507 + 0.339751i
\(255\) −1.98637 + 0.612713i −0.124391 + 0.0383696i
\(256\) −6.52184 14.6105i −0.407615 0.913154i
\(257\) 7.48033 + 19.0596i 0.466610 + 1.18890i 0.949652 + 0.313306i \(0.101437\pi\)
−0.483042 + 0.875597i \(0.660468\pi\)
\(258\) 16.4852 + 16.9185i 1.02633 + 1.05330i
\(259\) 6.05320 4.47075i 0.376128 0.277799i
\(260\) −25.2858 6.46567i −1.56816 0.400984i
\(261\) 2.74683 2.96038i 0.170025 0.183243i
\(262\) 1.27124 2.33159i 0.0785373 0.144046i
\(263\) 3.10576 + 5.37934i 0.191510 + 0.331704i 0.945751 0.324893i \(-0.105328\pi\)
−0.754241 + 0.656598i \(0.771995\pi\)
\(264\) −33.0274 0.0498521i −2.03269 0.00306819i
\(265\) 0.466471 0.584936i 0.0286551 0.0359324i
\(266\) 19.5411 + 0.246607i 1.19814 + 0.0151205i
\(267\) 18.2045 14.5176i 1.11410 0.888462i
\(268\) 13.8032 22.5369i 0.843163 1.37666i
\(269\) 1.39484 2.04585i 0.0850446 0.124738i −0.781359 0.624082i \(-0.785473\pi\)
0.866404 + 0.499344i \(0.166426\pi\)
\(270\) −9.23177 12.8543i −0.561828 0.782285i
\(271\) −14.2636 + 2.14989i −0.866451 + 0.130596i −0.567202 0.823579i \(-0.691974\pi\)
−0.299249 + 0.954175i \(0.596736\pi\)
\(272\) 0.593663 0.669979i 0.0359961 0.0406234i
\(273\) −15.0887 + 9.48822i −0.913208 + 0.574253i
\(274\) −10.6986 + 6.53042i −0.646329 + 0.394517i
\(275\) −60.0012 34.6417i −3.61821 2.08897i
\(276\) 12.0618 + 2.13935i 0.726038 + 0.128773i
\(277\) 4.14017 27.4682i 0.248759 1.65041i −0.420438 0.907321i \(-0.638124\pi\)
0.669197 0.743085i \(-0.266638\pi\)
\(278\) 11.3914 5.83281i 0.683213 0.349829i
\(279\) 0.925115 0.445512i 0.0553852 0.0266721i
\(280\) −20.6775 24.0841i −1.23572 1.43930i
\(281\) −3.27702 1.57813i −0.195491 0.0941433i 0.333578 0.942723i \(-0.391744\pi\)
−0.529068 + 0.848579i \(0.677458\pi\)
\(282\) 35.1331 0.858478i 2.09215 0.0511216i
\(283\) −12.7239 + 0.953522i −0.756356 + 0.0566810i −0.447325 0.894371i \(-0.647623\pi\)
−0.309030 + 0.951052i \(0.600004\pi\)
\(284\) −2.14411 0.906360i −0.127230 0.0537826i
\(285\) 48.3792 + 3.62552i 2.86574 + 0.214757i
\(286\) 2.89636 23.0185i 0.171265 1.36112i
\(287\) −3.81736 7.21667i −0.225332 0.425987i
\(288\) −9.34809 3.96827i −0.550841 0.233833i
\(289\) −16.1969 4.99608i −0.952758 0.293887i
\(290\) −8.93413 + 10.1133i −0.524630 + 0.593875i
\(291\) 12.3435 + 13.3031i 0.723589 + 0.779843i
\(292\) 16.2342 + 1.64098i 0.950034 + 0.0960309i
\(293\) 18.5947i 1.08631i −0.839631 0.543157i \(-0.817229\pi\)
0.839631 0.543157i \(-0.182771\pi\)
\(294\) −21.6512 1.07627i −1.26273 0.0627696i
\(295\) −35.8505 −2.08730
\(296\) −3.50144 + 7.24283i −0.203517 + 0.420981i
\(297\) 10.3124 9.56851i 0.598387 0.555222i
\(298\) 6.39055 + 5.64541i 0.370195 + 0.327030i
\(299\) −2.53639 + 8.22276i −0.146683 + 0.475534i
\(300\) −34.3131 45.3944i −1.98107 2.62085i
\(301\) −20.1667 + 0.761664i −1.16239 + 0.0439016i
\(302\) −0.649272 + 5.16003i −0.0373614 + 0.296926i
\(303\) 2.88306 38.4717i 0.165627 2.21014i
\(304\) −18.6103 + 9.49369i −1.06737 + 0.544501i
\(305\) −0.351502 4.69046i −0.0201269 0.268575i
\(306\) −0.0138791 0.568003i −0.000793418 0.0324706i
\(307\) 3.29713 6.84656i 0.188177 0.390754i −0.785441 0.618936i \(-0.787564\pi\)
0.973618 + 0.228182i \(0.0732782\pi\)
\(308\) 18.9464 20.9094i 1.07957 1.19142i
\(309\) 8.18035 + 16.9867i 0.465364 + 0.966338i
\(310\) −3.05397 + 1.56374i −0.173454 + 0.0888144i
\(311\) −21.3964 3.22499i −1.21328 0.182872i −0.488940 0.872317i \(-0.662616\pi\)
−0.724338 + 0.689445i \(0.757855\pi\)
\(312\) 9.55222 16.4874i 0.540788 0.933416i
\(313\) −9.20174 + 15.9379i −0.520113 + 0.900863i 0.479613 + 0.877480i \(0.340777\pi\)
−0.999727 + 0.0233828i \(0.992556\pi\)
\(314\) −1.99123 3.26220i −0.112372 0.184096i
\(315\) −20.0218 2.24881i −1.12810 0.126706i
\(316\) 0.485356 18.7068i 0.0273034 1.05234i
\(317\) 4.14265 + 27.4847i 0.232675 + 1.54370i 0.734429 + 0.678685i \(0.237450\pi\)
−0.501754 + 0.865010i \(0.667312\pi\)
\(318\) 0.318628 + 0.443655i 0.0178678 + 0.0248790i
\(319\) −9.91098 6.75719i −0.554908 0.378330i
\(320\) 31.5511 + 12.4929i 1.76376 + 0.698376i
\(321\) 2.96986 + 3.72409i 0.165762 + 0.207859i
\(322\) −8.26409 + 6.42148i −0.460540 + 0.357855i
\(323\) −0.913843 0.728765i −0.0508476 0.0405496i
\(324\) 20.9869 7.61471i 1.16594 0.423039i
\(325\) 34.6168 19.9860i 1.92019 1.10862i
\(326\) 2.33439 4.28152i 0.129290 0.237132i
\(327\) −2.63577 2.44564i −0.145759 0.135244i
\(328\) 7.20381 + 4.92742i 0.397764 + 0.272071i
\(329\) −19.5766 + 22.7645i −1.07929 + 1.25505i
\(330\) 50.1695 48.8848i 2.76174 2.69102i
\(331\) 0.311745 0.122351i 0.0171350 0.00672501i −0.356758 0.934197i \(-0.616118\pi\)
0.373893 + 0.927472i \(0.378023\pi\)
\(332\) 5.66534 + 4.08176i 0.310926 + 0.224016i
\(333\) 1.50507 + 4.87932i 0.0824774 + 0.267385i
\(334\) −6.07996 + 13.4565i −0.332681 + 0.736307i
\(335\) 12.4726 + 54.6459i 0.681449 + 2.98562i
\(336\) 21.0197 9.75914i 1.14672 0.532405i
\(337\) −2.43821 + 10.6825i −0.132818 + 0.581914i 0.864090 + 0.503337i \(0.167895\pi\)
−0.996908 + 0.0785765i \(0.974963\pi\)
\(338\) −3.98404 3.02095i −0.216703 0.164318i
\(339\) −25.8989 10.1646i −1.40664 0.552065i
\(340\) 0.0927263 + 1.89627i 0.00502879 + 0.102840i
\(341\) −1.71806 2.51994i −0.0930383 0.136462i
\(342\) −4.54162 + 12.4585i −0.245583 + 0.673679i
\(343\) 13.0820 13.1096i 0.706363 0.707850i
\(344\) 18.7003 10.7590i 1.00825 0.580089i
\(345\) −21.4667 + 14.6358i −1.15573 + 0.787962i
\(346\) −1.09205 2.59430i −0.0587090 0.139470i
\(347\) −19.8577 7.79357i −1.06602 0.418381i −0.233486 0.972360i \(-0.575013\pi\)
−0.832530 + 0.553979i \(0.813109\pi\)
\(348\) −5.33682 8.28129i −0.286084 0.443924i
\(349\) −17.4528 3.98349i −0.934228 0.213231i −0.271797 0.962355i \(-0.587618\pi\)
−0.662431 + 0.749123i \(0.730475\pi\)
\(350\) 48.4293 + 4.24446i 2.58865 + 0.226876i
\(351\) 1.80602 + 7.91269i 0.0963982 + 0.422348i
\(352\) −7.51687 + 29.2131i −0.400651 + 1.55706i
\(353\) 24.7205 7.62528i 1.31574 0.405853i 0.444092 0.895981i \(-0.353526\pi\)
0.871650 + 0.490129i \(0.163050\pi\)
\(354\) 7.10158 25.1919i 0.377445 1.33893i
\(355\) 4.59577 1.80371i 0.243918 0.0957309i
\(356\) −8.72699 19.3930i −0.462530 1.02783i
\(357\) 0.983056 + 0.845388i 0.0520288 + 0.0447427i
\(358\) −3.37911 33.9415i −0.178591 1.79386i
\(359\) 18.7605 + 17.4072i 0.990141 + 0.918716i 0.996693 0.0812621i \(-0.0258951\pi\)
−0.00655193 + 0.999979i \(0.502086\pi\)
\(360\) 20.0617 7.83873i 1.05735 0.413137i
\(361\) 4.13979 + 7.17033i 0.217884 + 0.377386i
\(362\) −11.0694 13.2055i −0.581795 0.694066i
\(363\) 29.8491 + 23.8039i 1.56667 + 1.24938i
\(364\) 4.98172 + 15.4981i 0.261113 + 0.812319i
\(365\) −27.0565 + 21.5768i −1.41620 + 1.12938i
\(366\) 3.36558 + 0.682130i 0.175922 + 0.0356555i
\(367\) −18.8898 12.8788i −0.986038 0.672270i −0.0409763 0.999160i \(-0.513047\pi\)
−0.945062 + 0.326890i \(0.893999\pi\)
\(368\) 4.62211 10.1889i 0.240944 0.531134i
\(369\) 5.47781 0.825647i 0.285164 0.0429815i
\(370\) −5.42595 16.1765i −0.282082 0.840974i
\(371\) −0.463737 0.0520860i −0.0240760 0.00270417i
\(372\) −0.493872 2.45576i −0.0256061 0.127325i
\(373\) 5.16668 + 2.98298i 0.267521 + 0.154453i 0.627760 0.778407i \(-0.283972\pi\)
−0.360240 + 0.932860i \(0.617305\pi\)
\(374\) −1.66214 + 0.292218i −0.0859473 + 0.0151102i
\(375\) 73.4145 + 11.0654i 3.79111 + 0.571417i
\(376\) 7.18958 31.2819i 0.370774 1.61324i
\(377\) 6.23516 3.00269i 0.321127 0.154647i
\(378\) −3.72198 + 9.14251i −0.191438 + 0.470240i
\(379\) −9.01901 + 18.7282i −0.463275 + 0.962001i 0.530191 + 0.847878i \(0.322120\pi\)
−0.993467 + 0.114123i \(0.963594\pi\)
\(380\) 14.1543 41.9882i 0.726101 2.15395i
\(381\) 9.17468 0.687547i 0.470033 0.0352241i
\(382\) 22.7512 + 1.14694i 1.16405 + 0.0586826i
\(383\) 1.43648 19.1685i 0.0734005 0.979462i −0.831965 0.554828i \(-0.812784\pi\)
0.905365 0.424634i \(-0.139597\pi\)
\(384\) −15.0286 + 19.6960i −0.766926 + 1.00511i
\(385\) 2.25861 + 59.8017i 0.115110 + 3.04778i
\(386\) 6.35838 9.83384i 0.323633 0.500529i
\(387\) 4.03630 13.0854i 0.205177 0.665166i
\(388\) 14.5641 7.91222i 0.739383 0.401682i
\(389\) −21.2153 22.8646i −1.07566 1.15928i −0.986583 0.163258i \(-0.947800\pi\)
−0.0890742 0.996025i \(-0.528391\pi\)
\(390\) 9.95251 + 39.1684i 0.503965 + 1.98337i
\(391\) 0.625955 0.0316559
\(392\) −5.85115 + 18.9147i −0.295528 + 0.955334i
\(393\) −4.11204 −0.207425
\(394\) −4.42637 17.4201i −0.222997 0.877612i
\(395\) 26.9952 + 29.0939i 1.35828 + 1.46387i
\(396\) 9.13976 + 16.8237i 0.459290 + 0.845422i
\(397\) 8.82692 28.6162i 0.443011 1.43621i −0.408929 0.912566i \(-0.634098\pi\)
0.851940 0.523639i \(-0.175426\pi\)
\(398\) −12.0269 + 18.6007i −0.602854 + 0.932371i
\(399\) −14.1491 26.7487i −0.708340 1.33911i
\(400\) −47.9311 + 20.0911i −2.39655 + 1.00456i
\(401\) −0.246569 + 3.29024i −0.0123131 + 0.164307i 0.987657 + 0.156629i \(0.0500628\pi\)
−0.999971 + 0.00767734i \(0.997556\pi\)
\(402\) −40.8699 2.06035i −2.03841 0.102761i
\(403\) 1.75466 0.131494i 0.0874061 0.00655018i
\(404\) −33.3895 11.2557i −1.66119 0.559991i
\(405\) −20.5446 + 42.6613i −1.02087 + 2.11986i
\(406\) 8.30638 + 1.35940i 0.412239 + 0.0674658i
\(407\) 13.6648 6.58062i 0.677339 0.326189i
\(408\) −1.35087 0.310473i −0.0668779 0.0153707i
\(409\) 21.1766 + 3.19186i 1.04712 + 0.157827i 0.649994 0.759939i \(-0.274771\pi\)
0.397121 + 0.917766i \(0.370009\pi\)
\(410\) −18.2312 + 3.20519i −0.900374 + 0.158293i
\(411\) 16.8081 + 9.70418i 0.829084 + 0.478672i
\(412\) 16.8816 3.39501i 0.831696 0.167260i
\(413\) 11.9035 + 18.9295i 0.585732 + 0.931462i
\(414\) −2.25832 6.73275i −0.110990 0.330897i
\(415\) −14.6440 + 2.20723i −0.718847 + 0.108349i
\(416\) −12.4277 12.1827i −0.609316 0.597308i
\(417\) −16.3733 11.1631i −0.801802 0.546659i
\(418\) 38.6025 + 7.82389i 1.88811 + 0.382679i
\(419\) 1.15528 0.921309i 0.0564393 0.0450089i −0.594864 0.803826i \(-0.702794\pi\)
0.651303 + 0.758818i \(0.274223\pi\)
\(420\) −17.4154 + 45.9626i −0.849783 + 2.24274i
\(421\) 4.24042 + 3.38163i 0.206666 + 0.164810i 0.721353 0.692568i \(-0.243521\pi\)
−0.514687 + 0.857378i \(0.672092\pi\)
\(422\) −8.74949 10.4379i −0.425919 0.508109i
\(423\) −10.1864 17.6434i −0.495281 0.857851i
\(424\) 0.464662 0.181558i 0.0225660 0.00881722i
\(425\) −2.13147 1.97772i −0.103392 0.0959334i
\(426\) 0.357082 + 3.58671i 0.0173007 + 0.173777i
\(427\) −2.35992 + 1.74298i −0.114204 + 0.0843485i
\(428\) 3.96723 1.78528i 0.191763 0.0862948i
\(429\) −33.4403 + 13.1244i −1.61451 + 0.633650i
\(430\) −12.4151 + 44.0410i −0.598710 + 2.12384i
\(431\) 24.0894 7.43060i 1.16035 0.357920i 0.345964 0.938248i \(-0.387552\pi\)
0.814383 + 0.580328i \(0.197076\pi\)
\(432\) −1.02957 10.5023i −0.0495352 0.505292i
\(433\) 1.92796 + 8.44695i 0.0926519 + 0.405934i 0.999892 0.0146781i \(-0.00467235\pi\)
−0.907240 + 0.420612i \(0.861815\pi\)
\(434\) 1.83969 + 1.09333i 0.0883079 + 0.0524814i
\(435\) 20.3712 + 4.64959i 0.976723 + 0.222931i
\(436\) −2.76040 + 1.77892i −0.132199 + 0.0851950i
\(437\) −13.5992 5.33729i −0.650538 0.255317i
\(438\) −9.80230 23.2865i −0.468372 1.11267i
\(439\) −3.82294 + 2.60644i −0.182459 + 0.124398i −0.651105 0.758988i \(-0.725694\pi\)
0.468646 + 0.883386i \(0.344742\pi\)
\(440\) −31.9045 55.4533i −1.52099 2.64363i
\(441\) 5.46045 + 11.3184i 0.260022 + 0.538974i
\(442\) 0.333470 0.914768i 0.0158615 0.0435111i
\(443\) 2.27688 + 3.33956i 0.108178 + 0.158667i 0.876510 0.481384i \(-0.159866\pi\)
−0.768332 + 0.640051i \(0.778913\pi\)
\(444\) 12.4419 0.608399i 0.590467 0.0288734i
\(445\) 41.9856 + 16.4781i 1.99031 + 0.781138i
\(446\) 0.0644212 + 0.0488482i 0.00305043 + 0.00231303i
\(447\) 2.93804 12.8724i 0.138965 0.608844i
\(448\) −3.87950 20.8074i −0.183289 0.983059i
\(449\) −1.13083 4.95447i −0.0533669 0.233816i 0.941210 0.337823i \(-0.109691\pi\)
−0.994577 + 0.104007i \(0.966833\pi\)
\(450\) −13.5824 + 30.0613i −0.640279 + 1.41710i
\(451\) −4.85003 15.7234i −0.228379 0.740387i
\(452\) −14.8541 + 20.6169i −0.698676 + 0.969738i
\(453\) 7.49626 2.94206i 0.352205 0.138230i
\(454\) 3.98285 3.88086i 0.186925 0.182138i
\(455\) −30.5309 16.1223i −1.43131 0.755827i
\(456\) 26.7010 + 18.2635i 1.25039 + 0.855268i
\(457\) −11.1203 10.3182i −0.520188 0.482664i 0.375826 0.926690i \(-0.377359\pi\)
−0.896014 + 0.444027i \(0.853550\pi\)
\(458\) 5.76628 10.5760i 0.269441 0.494184i
\(459\) 0.511295 0.295196i 0.0238652 0.0137786i
\(460\) 8.09344 + 22.3064i 0.377359 + 1.04004i
\(461\) −32.2613 25.7275i −1.50256 1.19825i −0.923873 0.382699i \(-0.874995\pi\)
−0.578685 0.815551i \(-0.696434\pi\)
\(462\) −42.4697 10.2589i −1.97587 0.477289i
\(463\) 13.3679 + 16.7629i 0.621261 + 0.779037i 0.988521 0.151081i \(-0.0482756\pi\)
−0.367260 + 0.930118i \(0.619704\pi\)
\(464\) −8.53523 + 2.84858i −0.396238 + 0.132242i
\(465\) 4.38957 + 2.99276i 0.203561 + 0.138786i
\(466\) 16.5585 + 23.0559i 0.767056 + 1.06804i
\(467\) −3.91908 26.0014i −0.181353 1.20320i −0.875446 0.483315i \(-0.839432\pi\)
0.694093 0.719885i \(-0.255806\pi\)
\(468\) −11.0423 0.286497i −0.510431 0.0132433i
\(469\) 24.7125 24.7298i 1.14112 1.14192i
\(470\) 35.4678 + 58.1061i 1.63601 + 2.68023i
\(471\) −2.95897 + 5.12508i −0.136342 + 0.236151i
\(472\) −20.6843 11.9838i −0.952073 0.551597i
\(473\) −40.2200 6.06219i −1.84932 0.278740i
\(474\) −25.7915 + 13.2062i −1.18464 + 0.606579i
\(475\) 29.4441 + 61.1412i 1.35099 + 2.80535i
\(476\) 0.970470 0.678583i 0.0444814 0.0311028i
\(477\) 0.137387 0.285286i 0.00629050 0.0130624i
\(478\) −0.556212 22.7629i −0.0254406 1.04115i
\(479\) −0.603884 8.05828i −0.0275922 0.368192i −0.993859 0.110650i \(-0.964707\pi\)
0.966267 0.257542i \(-0.0829124\pi\)
\(480\) −6.40245 52.1535i −0.292231 2.38047i
\(481\) −0.653906 + 8.72577i −0.0298156 + 0.397861i
\(482\) −0.945728 + 7.51608i −0.0430767 + 0.342348i
\(483\) 14.8555 + 6.47518i 0.675948 + 0.294631i
\(484\) 27.8166 21.0262i 1.26439 0.955738i
\(485\) −10.3616 + 33.5914i −0.470494 + 1.52530i
\(486\) −17.5198 15.4770i −0.794712 0.702049i
\(487\) −20.7316 + 19.2361i −0.939438 + 0.871671i −0.991909 0.126951i \(-0.959481\pi\)
0.0524709 + 0.998622i \(0.483290\pi\)
\(488\) 1.36508 2.82371i 0.0617943 0.127823i
\(489\) −7.55099 −0.341468
\(490\) −19.1645 37.3634i −0.865762 1.68791i
\(491\) 23.0675i 1.04102i −0.853854 0.520512i \(-0.825741\pi\)
0.853854 0.520512i \(-0.174259\pi\)
\(492\) 1.35913 13.4458i 0.0612741 0.606185i
\(493\) −0.342410 0.369030i −0.0154214 0.0166203i
\(494\) −15.0447 + 17.0304i −0.676893 + 0.766235i
\(495\) −38.8029 11.9691i −1.74406 0.537971i
\(496\) −2.28473 0.118636i −0.102588 0.00532693i
\(497\) −2.47832 1.82774i −0.111168 0.0819855i
\(498\) 1.34981 10.7275i 0.0604864 0.480710i
\(499\) 32.1618 + 2.41019i 1.43976 + 0.107895i 0.771592 0.636118i \(-0.219461\pi\)
0.668166 + 0.744013i \(0.267080\pi\)
\(500\) 26.4020 62.4573i 1.18073 2.79318i
\(501\) 22.8006 1.70867i 1.01866 0.0763377i
\(502\) 4.34318 0.106125i 0.193845 0.00473661i
\(503\) 4.47760 + 2.15630i 0.199646 + 0.0961446i 0.531036 0.847350i \(-0.321803\pi\)
−0.331389 + 0.943494i \(0.607517\pi\)
\(504\) −10.8001 7.99017i −0.481073 0.355910i
\(505\) 67.3306 32.4247i 2.99617 1.44288i
\(506\) −18.7751 + 9.61350i −0.834654 + 0.427372i
\(507\) −1.15388 + 7.65547i −0.0512454 + 0.339991i
\(508\) 1.46748 8.27381i 0.0651090 0.367091i
\(509\) −6.05578 3.49630i −0.268418 0.154971i 0.359751 0.933048i \(-0.382862\pi\)
−0.628168 + 0.778078i \(0.716195\pi\)
\(510\) 2.50923 1.53163i 0.111111 0.0678216i
\(511\) 20.3764 + 7.12201i 0.901401 + 0.315059i
\(512\) 14.0277 + 17.7545i 0.619943 + 0.784647i
\(513\) −13.6252 + 2.05367i −0.601567 + 0.0906716i
\(514\) −16.8910 23.5189i −0.745030 1.03737i
\(515\) −20.5730 + 30.1751i −0.906556 + 1.32967i
\(516\) −28.4880 17.4480i −1.25411 0.768107i
\(517\) −47.3111 + 37.7293i −2.08074 + 1.65933i
\(518\) −6.73981 + 8.23606i −0.296130 + 0.361872i
\(519\) −2.71746 + 3.40759i −0.119283 + 0.149577i
\(520\) 36.9101 + 0.0557128i 1.61861 + 0.00244317i
\(521\) −12.6756 21.9548i −0.555329 0.961858i −0.997878 0.0651139i \(-0.979259\pi\)
0.442549 0.896745i \(-0.354074\pi\)
\(522\) −2.73393 + 5.01433i −0.119661 + 0.219471i
\(523\) −26.5299 + 28.5924i −1.16007 + 1.25026i −0.197180 + 0.980367i \(0.563178\pi\)
−0.962891 + 0.269892i \(0.913012\pi\)
\(524\) −0.930390 + 3.63855i −0.0406443 + 0.158951i
\(525\) −30.1267 68.9852i −1.31484 3.01076i
\(526\) −6.13045 6.29157i −0.267300 0.274325i
\(527\) −0.0467625 0.119149i −0.00203701 0.00519021i
\(528\) 45.2866 11.4344i 1.97085 0.497618i
\(529\) −14.5021 + 4.47332i −0.630528 + 0.194492i
\(530\) −0.435652 + 0.964209i −0.0189235 + 0.0418826i
\(531\) −14.7925 + 3.37630i −0.641942 + 0.146519i
\(532\) −26.8700 + 6.46771i −1.16496 + 0.280411i
\(533\) 9.25512 + 2.11242i 0.400884 + 0.0914991i
\(534\) −19.8959 + 26.2389i −0.860982 + 1.13547i
\(535\) −3.37093 + 8.58900i −0.145738 + 0.371335i
\(536\) −11.0703 + 35.6977i −0.478165 + 1.54191i
\(537\) −43.6384 + 29.7522i −1.88314 + 1.28390i
\(538\) −1.19932 + 3.28995i −0.0517063 + 0.141840i
\(539\) 30.8262 21.0486i 1.32778 0.906627i
\(540\) 17.1305 + 14.4036i 0.737177 + 0.619830i
\(541\) −7.99284 11.7233i −0.343639 0.504026i 0.615048 0.788490i \(-0.289137\pi\)
−0.958687 + 0.284464i \(0.908184\pi\)
\(542\) 18.8017 7.91445i 0.807603 0.339955i
\(543\) −9.74780 + 24.8370i −0.418318 + 1.06586i
\(544\) −0.580369 + 1.12507i −0.0248831 + 0.0482370i
\(545\) 1.54985 6.79033i 0.0663882 0.290866i
\(546\) 17.3769 18.2602i 0.743662 0.781463i
\(547\) 36.0960 8.23869i 1.54336 0.352261i 0.635686 0.771947i \(-0.280717\pi\)
0.907669 + 0.419687i \(0.137860\pi\)
\(548\) 12.3898 12.6771i 0.529265 0.541537i
\(549\) −0.586771 1.90226i −0.0250428 0.0811867i
\(550\) 94.3061 + 26.5848i 4.02122 + 1.13358i
\(551\) 4.29244 + 10.9370i 0.182864 + 0.465931i
\(552\) −17.2777 + 1.26856i −0.735390 + 0.0539937i
\(553\) 6.39873 23.9139i 0.272102 1.01692i
\(554\) 3.89183 + 39.0915i 0.165348 + 1.66084i
\(555\) −17.9699 + 19.3669i −0.762779 + 0.822080i
\(556\) −13.5823 + 11.9622i −0.576018 + 0.507309i
\(557\) 17.4819 10.0932i 0.740732 0.427662i −0.0816033 0.996665i \(-0.526004\pi\)
0.822335 + 0.569003i \(0.192671\pi\)
\(558\) −1.11285 + 0.932841i −0.0471109 + 0.0394903i
\(559\) 14.6311 18.3468i 0.618828 0.775985i
\(560\) 36.7297 + 25.8095i 1.55211 + 1.09065i
\(561\) 1.62929 + 2.04306i 0.0687887 + 0.0862583i
\(562\) 5.04130 + 1.02176i 0.212654 + 0.0431004i
\(563\) 22.9749 33.6979i 0.968275 1.42020i 0.0617288 0.998093i \(-0.480339\pi\)
0.906546 0.422106i \(-0.138709\pi\)
\(564\) −47.8565 + 13.4128i −2.01512 + 0.564780i
\(565\) −8.03240 53.2915i −0.337926 2.24199i
\(566\) 17.1080 5.73840i 0.719102 0.241203i
\(567\) 29.3472 3.31705i 1.23247 0.139303i
\(568\) 3.25451 + 0.495563i 0.136556 + 0.0207934i
\(569\) −13.9899 + 24.2312i −0.586487 + 1.01583i 0.408201 + 0.912892i \(0.366156\pi\)
−0.994688 + 0.102934i \(0.967177\pi\)
\(570\) −67.5741 + 11.8801i −2.83037 + 0.497602i
\(571\) −3.95580 + 26.2450i −0.165545 + 1.09832i 0.739547 + 0.673105i \(0.235040\pi\)
−0.905092 + 0.425215i \(0.860198\pi\)
\(572\) 4.04693 + 32.5593i 0.169211 + 1.36137i
\(573\) −15.3045 31.7802i −0.639356 1.32764i
\(574\) 7.74570 + 8.56208i 0.323299 + 0.357375i
\(575\) −32.7430 15.7682i −1.36548 0.657580i
\(576\) 14.1951 + 2.18341i 0.591462 + 0.0909755i
\(577\) −2.82710 37.7250i −0.117694 1.57051i −0.673490 0.739196i \(-0.735206\pi\)
0.555797 0.831318i \(-0.312413\pi\)
\(578\) 23.9404 + 1.20689i 0.995789 + 0.0502001i
\(579\) −18.0820 1.35506i −0.751462 0.0563143i
\(580\) 8.72338 16.9735i 0.362218 0.704785i
\(581\) 6.02772 + 6.99937i 0.250072 + 0.290383i
\(582\) −21.5519 13.9351i −0.893355 0.577627i
\(583\) −0.898737 0.277224i −0.0372219 0.0114814i
\(584\) −22.8230 + 3.40479i −0.944423 + 0.140891i
\(585\) 17.1736 15.9348i 0.710040 0.658821i
\(586\) 6.47613 + 25.4870i 0.267526 + 1.05286i
\(587\) 3.75673i 0.155057i −0.996990 0.0775284i \(-0.975297\pi\)
0.996990 0.0775284i \(-0.0247028\pi\)
\(588\) 30.0513 6.06545i 1.23929 0.250135i
\(589\) 2.98730i 0.123090i
\(590\) 49.1387 12.4859i 2.02301 0.514038i
\(591\) −20.4015 + 18.9298i −0.839206 + 0.778669i
\(592\) 2.27676 11.1469i 0.0935742 0.458135i
\(593\) −36.9315 11.3918i −1.51659 0.467807i −0.578937 0.815372i \(-0.696532\pi\)
−0.937656 + 0.347565i \(0.887009\pi\)
\(594\) −10.8023 + 16.7067i −0.443223 + 0.685486i
\(595\) −0.466058 + 2.46791i −0.0191065 + 0.101174i
\(596\) −10.7254 5.51224i −0.439331 0.225790i
\(597\) 34.2021 + 2.56310i 1.39980 + 0.104901i
\(598\) 0.612709 12.1540i 0.0250555 0.497012i
\(599\) 0.329715 + 4.39974i 0.0134718 + 0.179769i 0.999881 + 0.0154584i \(0.00492075\pi\)
−0.986409 + 0.164310i \(0.947460\pi\)
\(600\) 62.8414 + 50.2697i 2.56549 + 2.05225i
\(601\) 18.3873 + 8.85488i 0.750035 + 0.361198i 0.769529 0.638612i \(-0.220491\pi\)
−0.0194935 + 0.999810i \(0.506205\pi\)
\(602\) 27.3764 8.06761i 1.11578 0.328811i
\(603\) 10.2928 + 21.3732i 0.419155 + 0.870384i
\(604\) −0.907194 7.29876i −0.0369132 0.296982i
\(605\) −11.0223 + 73.1282i −0.448120 + 2.97309i
\(606\) 9.44718 + 53.7357i 0.383765 + 2.18286i
\(607\) −17.5353 + 30.3720i −0.711735 + 1.23276i 0.252470 + 0.967605i \(0.418757\pi\)
−0.964205 + 0.265157i \(0.914576\pi\)
\(608\) 22.2019 19.4942i 0.900406 0.790593i
\(609\) −4.30882 12.3001i −0.174602 0.498424i
\(610\) 2.11537 + 6.30660i 0.0856490 + 0.255347i
\(611\) −5.20338 34.5222i −0.210506 1.39662i
\(612\) 0.216846 + 0.773704i 0.00876550 + 0.0312751i
\(613\) 18.3983 26.9853i 0.743098 1.08993i −0.249487 0.968378i \(-0.580262\pi\)
0.992586 0.121547i \(-0.0387856\pi\)
\(614\) −2.13473 + 10.5326i −0.0861506 + 0.425061i
\(615\) 17.8708 + 22.4093i 0.720622 + 0.903631i
\(616\) −18.6868 + 35.2582i −0.752913 + 1.42059i
\(617\) −11.6431 + 14.5999i −0.468732 + 0.587771i −0.958860 0.283879i \(-0.908378\pi\)
0.490128 + 0.871650i \(0.336950\pi\)
\(618\) −17.1285 20.4339i −0.689011 0.821971i
\(619\) −29.0361 + 16.7640i −1.16706 + 0.673801i −0.952985 0.303017i \(-0.902006\pi\)
−0.214072 + 0.976818i \(0.568673\pi\)
\(620\) 3.64133 3.20698i 0.146239 0.128796i
\(621\) 5.01908 5.40929i 0.201409 0.217067i
\(622\) 30.4503 3.03154i 1.22095 0.121554i
\(623\) −5.23985 27.6402i −0.209930 1.10738i
\(624\) −7.35062 + 25.9254i −0.294260 + 1.03785i
\(625\) 28.8074 + 73.4000i 1.15229 + 2.93600i
\(626\) 7.06162 25.0502i 0.282239 1.00121i
\(627\) −17.9767 58.2790i −0.717920 2.32744i
\(628\) 3.86545 + 3.77785i 0.154248 + 0.150753i
\(629\) 0.620557 0.141638i 0.0247432 0.00564748i
\(630\) 28.2262 3.89080i 1.12456 0.155013i
\(631\) 0.229259 1.00445i 0.00912664 0.0399864i −0.970160 0.242467i \(-0.922043\pi\)
0.979286 + 0.202481i \(0.0649004\pi\)
\(632\) 5.84993 + 25.8097i 0.232698 + 1.02666i
\(633\) −7.70487 + 19.6317i −0.306241 + 0.780289i
\(634\) −15.2505 36.2293i −0.605674 1.43885i
\(635\) 10.0394 + 14.7251i 0.398401 + 0.584346i
\(636\) −0.591245 0.497128i −0.0234444 0.0197124i
\(637\) 1.62438 + 21.4738i 0.0643602 + 0.850824i
\(638\) 15.9379 + 5.81002i 0.630989 + 0.230021i
\(639\) 1.72643 1.17706i 0.0682965 0.0465637i
\(640\) −47.5968 6.13499i −1.88143 0.242507i
\(641\) 9.72746 24.7852i 0.384212 0.978956i −0.599688 0.800234i \(-0.704709\pi\)
0.983900 0.178722i \(-0.0571961\pi\)
\(642\) −5.36769 4.07012i −0.211846 0.160635i
\(643\) −14.0884 3.21558i −0.555590 0.126810i −0.0644988 0.997918i \(-0.520545\pi\)
−0.491092 + 0.871108i \(0.663402\pi\)
\(644\) 9.09078 11.6798i 0.358227 0.460250i
\(645\) 69.0756 15.7661i 2.71985 0.620788i
\(646\) 1.50638 + 0.680616i 0.0592677 + 0.0267785i
\(647\) 45.7011 14.0969i 1.79670 0.554207i 0.797879 0.602818i \(-0.205955\pi\)
0.998818 + 0.0486105i \(0.0154793\pi\)
\(648\) −26.1139 + 17.7464i −1.02585 + 0.697146i
\(649\) 16.4652 + 41.9526i 0.646315 + 1.64678i
\(650\) −40.4870 + 39.4502i −1.58803 + 1.54736i
\(651\) 0.122743 3.31144i 0.00481068 0.129786i
\(652\) −1.70848 + 6.68152i −0.0669094 + 0.261668i
\(653\) −19.6072 + 21.1316i −0.767290 + 0.826942i −0.988960 0.148180i \(-0.952659\pi\)
0.221670 + 0.975122i \(0.428849\pi\)
\(654\) 4.46451 + 2.43415i 0.174576 + 0.0951830i
\(655\) −3.98265 6.89816i −0.155615 0.269533i
\(656\) −11.5901 4.24488i −0.452516 0.165735i
\(657\) −9.13194 + 11.4511i −0.356271 + 0.446749i
\(658\) 18.9044 38.0205i 0.736970 1.48219i
\(659\) −3.24594 + 2.58855i −0.126444 + 0.100836i −0.684670 0.728853i \(-0.740054\pi\)
0.558226 + 0.829689i \(0.311482\pi\)
\(660\) −51.7398 + 84.4772i −2.01397 + 3.28827i
\(661\) 9.98470 14.6449i 0.388360 0.569619i −0.581419 0.813604i \(-0.697502\pi\)
0.969779 + 0.243985i \(0.0784547\pi\)
\(662\) −0.384683 + 0.276275i −0.0149511 + 0.0107377i
\(663\) −1.49079 + 0.224701i −0.0578976 + 0.00872666i
\(664\) −9.18683 3.62158i −0.356518 0.140544i
\(665\) 31.1683 49.6428i 1.20866 1.92506i
\(666\) −3.76230 6.16370i −0.145786 0.238838i
\(667\) −5.44906 3.14602i −0.210988 0.121814i
\(668\) 3.64693 20.5618i 0.141104 0.795559i
\(669\) 0.0186580 0.123788i 0.000721359 0.00478590i
\(670\) −36.1276 70.5568i −1.39573 2.72585i
\(671\) −5.32739 + 2.56554i −0.205662 + 0.0990415i
\(672\) −25.4119 + 20.6971i −0.980286 + 0.798410i
\(673\) −39.6299 19.0848i −1.52762 0.735663i −0.533691 0.845680i \(-0.679195\pi\)
−0.993930 + 0.110017i \(0.964910\pi\)
\(674\) −0.378529 15.4912i −0.0145804 0.596701i
\(675\) −34.1815 + 2.56155i −1.31565 + 0.0985941i
\(676\) 6.51289 + 2.75313i 0.250496 + 0.105890i
\(677\) −42.5061 3.18539i −1.63364 0.122424i −0.773952 0.633244i \(-0.781723\pi\)
−0.859688 + 0.510819i \(0.829342\pi\)
\(678\) 39.0387 + 4.91213i 1.49927 + 0.188649i
\(679\) 21.1770 5.68233i 0.812700 0.218068i
\(680\) −0.787527 2.56685i −0.0302003 0.0984341i
\(681\) −8.22817 2.53806i −0.315304 0.0972585i
\(682\) 3.23251 + 2.85561i 0.123779 + 0.109347i
\(683\) −9.47791 10.2148i −0.362662 0.390857i 0.525190 0.850985i \(-0.323994\pi\)
−0.887853 + 0.460128i \(0.847804\pi\)
\(684\) 1.88599 18.6581i 0.0721126 0.713410i
\(685\) 37.5953i 1.43644i
\(686\) −13.3652 + 22.5249i −0.510286 + 0.860005i
\(687\) −18.6521 −0.711621
\(688\) −21.8846 + 21.2599i −0.834343 + 0.810525i
\(689\) 0.397768 0.369075i 0.0151538 0.0140606i
\(690\) 24.3262 27.5370i 0.926082 1.04832i
\(691\) −1.75809 + 5.69959i −0.0668809 + 0.216823i −0.982844 0.184441i \(-0.940953\pi\)
0.915963 + 0.401263i \(0.131429\pi\)
\(692\) 2.40037 + 3.17556i 0.0912482 + 0.120717i
\(693\) 6.56391 + 24.4625i 0.249342 + 0.929255i
\(694\) 29.9324 + 3.76632i 1.13622 + 0.142967i
\(695\) 2.86860 38.2788i 0.108812 1.45200i
\(696\) 10.1991 + 9.49211i 0.386598 + 0.359798i
\(697\) −0.0516053 0.688625i −0.00195469 0.0260835i
\(698\) 25.3092 0.618430i 0.957967 0.0234079i
\(699\) 19.0707 39.6007i 0.721319 1.49783i
\(700\) −67.8582 + 11.0492i −2.56480 + 0.417619i
\(701\) −19.0068 39.4681i −0.717878 1.49069i −0.865107 0.501587i \(-0.832750\pi\)
0.147229 0.989102i \(-0.452965\pi\)
\(702\) −5.23125 10.2166i −0.197441 0.385600i
\(703\) −14.6896 2.21411i −0.554030 0.0835066i
\(704\) 0.128781 42.6591i 0.00485362 1.60778i
\(705\) 52.7050 91.2878i 1.98499 3.43810i
\(706\) −31.2277 + 19.0613i −1.17527 + 0.717380i
\(707\) −39.4765 24.7854i −1.48467 0.932152i
\(708\) −0.960051 + 37.0028i −0.0360809 + 1.39065i
\(709\) −4.08529 27.1041i −0.153426 1.01792i −0.924503 0.381175i \(-0.875520\pi\)
0.771077 0.636742i \(-0.219718\pi\)
\(710\) −5.67104 + 4.07287i −0.212830 + 0.152852i
\(711\) 13.8787 + 9.46232i 0.520491 + 0.354865i
\(712\) 18.7159 + 23.5418i 0.701407 + 0.882266i
\(713\) −0.997455 1.25077i −0.0373550 0.0468417i
\(714\) −1.64186 0.816361i −0.0614452 0.0305516i
\(715\) −54.4048 43.3864i −2.03463 1.62256i
\(716\) 16.4527 + 45.3453i 0.614865 + 1.69463i
\(717\) −30.5337 + 17.6286i −1.14030 + 0.658354i
\(718\) −31.7768 17.3254i −1.18590 0.646579i
\(719\) 9.54847 + 8.85969i 0.356098 + 0.330411i 0.837854 0.545895i \(-0.183810\pi\)
−0.481756 + 0.876306i \(0.660001\pi\)
\(720\) −24.7677 + 17.7313i −0.923038 + 0.660806i
\(721\) 22.7637 + 0.843770i 0.847766 + 0.0314236i
\(722\) −8.17151 8.38627i −0.304112 0.312105i
\(723\) 10.9190 4.28540i 0.406083 0.159376i
\(724\) 19.7716 + 14.2450i 0.734804 + 0.529411i
\(725\) 8.61498 + 27.9291i 0.319952 + 1.03726i
\(726\) −49.2033 22.2312i −1.82611 0.825076i
\(727\) −1.75124 7.67268i −0.0649499 0.284564i 0.932015 0.362421i \(-0.118050\pi\)
−0.996965 + 0.0778564i \(0.975192\pi\)
\(728\) −12.2259 19.5075i −0.453121 0.722997i
\(729\) −0.602787 + 2.64098i −0.0223254 + 0.0978142i
\(730\) 29.5704 38.9976i 1.09445 1.44337i
\(731\) −1.58901 0.623640i −0.0587716 0.0230662i
\(732\) −4.85063 + 0.237192i −0.179285 + 0.00876687i
\(733\) 14.6498 + 21.4873i 0.541102 + 0.793651i 0.995258 0.0972714i \(-0.0310115\pi\)
−0.454156 + 0.890922i \(0.650059\pi\)
\(734\) 30.3768 + 11.0736i 1.12123 + 0.408733i
\(735\) −36.5900 + 53.7486i −1.34964 + 1.98255i
\(736\) −2.78676 + 15.5753i −0.102721 + 0.574113i
\(737\) 58.2189 39.6929i 2.14452 1.46211i
\(738\) −7.22065 + 3.03948i −0.265796 + 0.111885i
\(739\) 32.0043 + 12.5607i 1.17730 + 0.462054i 0.871668 0.490097i \(-0.163039\pi\)
0.305627 + 0.952151i \(0.401134\pi\)
\(740\) 13.0710 + 20.2827i 0.480500 + 0.745605i
\(741\) 34.3042 + 7.82971i 1.26020 + 0.287632i
\(742\) 0.653765 0.0901173i 0.0240005 0.00330831i
\(743\) 9.38887 + 41.1353i 0.344444 + 1.50911i 0.789581 + 0.613646i \(0.210298\pi\)
−0.445137 + 0.895463i \(0.646845\pi\)
\(744\) 1.53222 + 3.19401i 0.0561738 + 0.117098i
\(745\) 24.4397 7.53865i 0.895401 0.276195i
\(746\) −8.12066 2.28921i −0.297318 0.0838139i
\(747\) −5.83451 + 2.28988i −0.213474 + 0.0837822i
\(748\) 2.17645 0.979419i 0.0795791 0.0358111i
\(749\) 5.65436 1.07192i 0.206606 0.0391670i
\(750\) −104.480 + 10.4017i −3.81507 + 0.379817i
\(751\) 9.55944 + 8.86986i 0.348829 + 0.323666i 0.835054 0.550167i \(-0.185436\pi\)
−0.486225 + 0.873833i \(0.661627\pi\)
\(752\) 1.04034 + 45.3807i 0.0379374 + 1.65487i
\(753\) −3.36355 5.82584i −0.122575 0.212305i
\(754\) −7.50049 + 6.28723i −0.273152 + 0.228967i
\(755\) 12.1958 + 9.72585i 0.443852 + 0.353960i
\(756\) 1.91743 13.8275i 0.0697362 0.502903i
\(757\) −18.8694 + 15.0479i −0.685821 + 0.546924i −0.903230 0.429157i \(-0.858811\pi\)
0.217409 + 0.976081i \(0.430239\pi\)
\(758\) 5.83936 28.8110i 0.212095 1.04646i
\(759\) 26.9860 + 18.3988i 0.979530 + 0.667832i
\(760\) −4.77716 + 62.4811i −0.173286 + 2.26643i
\(761\) 28.3854 4.27841i 1.02897 0.155092i 0.387205 0.921994i \(-0.373440\pi\)
0.641765 + 0.766901i \(0.278202\pi\)
\(762\) −12.3359 + 4.13773i −0.446882 + 0.149894i
\(763\) −4.09998 + 1.43626i −0.148429 + 0.0519961i
\(764\) −31.5836 + 6.35168i −1.14265 + 0.229796i
\(765\) −1.47586 0.852090i −0.0533600 0.0308074i
\(766\) 4.70703 + 26.7737i 0.170072 + 0.967372i
\(767\) −25.7109 3.87529i −0.928366 0.139929i
\(768\) 13.7394 32.2306i 0.495778 1.16302i
\(769\) −7.13222 + 3.43470i −0.257195 + 0.123858i −0.558039 0.829815i \(-0.688446\pi\)
0.300844 + 0.953673i \(0.402732\pi\)
\(770\) −23.9234 81.1811i −0.862140 2.92556i
\(771\) −19.4537 + 40.3960i