Properties

Label 392.2.z.a.37.12
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 37.12
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09732 + 0.892129i) q^{2} +(-1.73400 - 1.86880i) q^{3} +(0.408212 - 1.95790i) q^{4} +(-0.880547 + 2.85466i) q^{5} +(3.56996 + 0.503723i) q^{6} +(-1.33854 - 2.28217i) q^{7} +(1.29876 + 2.51261i) q^{8} +(-0.261493 + 3.48939i) q^{9} +O(q^{10})\) \(q+(-1.09732 + 0.892129i) q^{2} +(-1.73400 - 1.86880i) q^{3} +(0.408212 - 1.95790i) q^{4} +(-0.880547 + 2.85466i) q^{5} +(3.56996 + 0.503723i) q^{6} +(-1.33854 - 2.28217i) q^{7} +(1.29876 + 2.51261i) q^{8} +(-0.261493 + 3.48939i) q^{9} +(-1.58049 - 3.91803i) q^{10} +(-1.69662 + 0.127144i) q^{11} +(-4.36677 + 2.63212i) q^{12} +(-0.482883 + 1.00272i) q^{13} +(3.50480 + 1.31012i) q^{14} +(6.86167 - 3.30441i) q^{15} +(-3.66673 - 1.59848i) q^{16} +(2.79033 + 0.420575i) q^{17} +(-2.82604 - 4.06225i) q^{18} +(-0.392754 - 0.226756i) q^{19} +(5.22969 + 2.88933i) q^{20} +(-1.94391 + 6.45875i) q^{21} +(1.74830 - 1.65312i) q^{22} +(7.01574 - 1.05745i) q^{23} +(2.44354 - 6.78399i) q^{24} +(-3.24254 - 2.21073i) q^{25} +(-0.364677 - 1.53109i) q^{26} +(0.994929 - 0.793429i) q^{27} +(-5.01467 + 1.68911i) q^{28} +(6.88030 + 5.48685i) q^{29} +(-4.58148 + 9.74748i) q^{30} +(4.94919 + 8.57224i) q^{31} +(5.44961 - 1.51716i) q^{32} +(3.17954 + 2.95018i) q^{33} +(-3.43709 + 2.02783i) q^{34} +(7.69348 - 1.81152i) q^{35} +(6.72512 + 1.93639i) q^{36} +(9.08232 - 3.56455i) q^{37} +(0.633271 - 0.101563i) q^{38} +(2.71120 - 0.836294i) q^{39} +(-8.31628 + 1.49504i) q^{40} +(-0.419516 - 1.83802i) q^{41} +(-3.62895 - 8.82152i) q^{42} +(-3.27731 - 0.748024i) q^{43} +(-0.443646 + 3.37371i) q^{44} +(-9.73077 - 3.81904i) q^{45} +(-6.75511 + 7.41930i) q^{46} +(-2.83115 + 1.93025i) q^{47} +(3.37085 + 9.62414i) q^{48} +(-3.41662 + 6.10956i) q^{49} +(5.53035 - 0.466894i) q^{50} +(-4.05245 - 5.94385i) q^{51} +(1.76610 + 1.35476i) q^{52} +(-7.46464 - 2.92966i) q^{53} +(-0.383912 + 1.75825i) q^{54} +(1.13100 - 4.95523i) q^{55} +(3.99578 - 6.32722i) q^{56} +(0.257270 + 1.12717i) q^{57} +(-12.4448 + 0.117290i) q^{58} +(3.14841 + 10.2069i) q^{59} +(-3.66867 - 14.7833i) q^{60} +(6.55445 - 2.57243i) q^{61} +(-13.0784 - 4.99116i) q^{62} +(8.31340 - 4.07391i) q^{63} +(-4.62645 + 6.52656i) q^{64} +(-2.43722 - 2.26141i) q^{65} +(-6.12090 - 0.400727i) q^{66} +(7.66481 - 4.42528i) q^{67} +(1.96249 - 5.29150i) q^{68} +(-14.1414 - 11.2774i) q^{69} +(-6.82608 + 8.85139i) q^{70} +(-0.596399 - 0.747861i) q^{71} +(-9.10710 + 3.87484i) q^{72} +(-7.21886 - 4.92174i) q^{73} +(-6.78616 + 12.0140i) q^{74} +(1.49114 + 9.89306i) q^{75} +(-0.604293 + 0.676407i) q^{76} +(2.56116 + 3.70179i) q^{77} +(-2.22896 + 3.33642i) q^{78} +(-4.98291 + 8.63065i) q^{79} +(7.79183 - 9.05973i) q^{80} +(7.17230 + 1.08105i) q^{81} +(2.10009 + 1.64263i) q^{82} +(-1.02290 - 2.12407i) q^{83} +(11.8520 + 6.44252i) q^{84} +(-3.65761 + 7.59512i) q^{85} +(4.26358 - 2.10296i) q^{86} +(-1.67656 - 22.3721i) q^{87} +(-2.52296 - 4.09782i) q^{88} +(-1.13399 + 15.1321i) q^{89} +(14.0848 - 4.49039i) q^{90} +(2.93473 - 0.240154i) q^{91} +(0.793527 - 14.1678i) q^{92} +(7.43797 - 24.1133i) q^{93} +(1.38464 - 4.64385i) q^{94} +(0.993151 - 0.921509i) q^{95} +(-12.2849 - 7.55351i) q^{96} -9.10282 q^{97} +(-1.70139 - 9.75219i) q^{98} -5.95341i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09732 + 0.892129i −0.775921 + 0.630830i
\(3\) −1.73400 1.86880i −1.00112 1.07895i −0.996878 0.0789634i \(-0.974839\pi\)
−0.00424585 0.999991i \(-0.501352\pi\)
\(4\) 0.408212 1.95790i 0.204106 0.978949i
\(5\) −0.880547 + 2.85466i −0.393792 + 1.27664i 0.514205 + 0.857667i \(0.328087\pi\)
−0.907997 + 0.418976i \(0.862389\pi\)
\(6\) 3.56996 + 0.503723i 1.45743 + 0.205644i
\(7\) −1.33854 2.28217i −0.505920 0.862580i
\(8\) 1.29876 + 2.51261i 0.459180 + 0.888343i
\(9\) −0.261493 + 3.48939i −0.0871645 + 1.16313i
\(10\) −1.58049 3.91803i −0.499794 1.23899i
\(11\) −1.69662 + 0.127144i −0.511550 + 0.0383353i −0.328005 0.944676i \(-0.606376\pi\)
−0.183545 + 0.983011i \(0.558757\pi\)
\(12\) −4.36677 + 2.63212i −1.26058 + 0.759827i
\(13\) −0.482883 + 1.00272i −0.133928 + 0.278104i −0.957138 0.289633i \(-0.906467\pi\)
0.823210 + 0.567737i \(0.192181\pi\)
\(14\) 3.50480 + 1.31012i 0.936696 + 0.350144i
\(15\) 6.86167 3.30441i 1.77168 0.853194i
\(16\) −3.66673 1.59848i −0.916681 0.399619i
\(17\) 2.79033 + 0.420575i 0.676754 + 0.102004i 0.478421 0.878130i \(-0.341209\pi\)
0.198333 + 0.980135i \(0.436447\pi\)
\(18\) −2.82604 4.06225i −0.666104 0.957482i
\(19\) −0.392754 0.226756i −0.0901038 0.0520215i 0.454271 0.890864i \(-0.349900\pi\)
−0.544375 + 0.838842i \(0.683233\pi\)
\(20\) 5.22969 + 2.88933i 1.16939 + 0.646073i
\(21\) −1.94391 + 6.45875i −0.424196 + 1.40941i
\(22\) 1.74830 1.65312i 0.372739 0.352446i
\(23\) 7.01574 1.05745i 1.46288 0.220494i 0.631146 0.775664i \(-0.282585\pi\)
0.831737 + 0.555170i \(0.187347\pi\)
\(24\) 2.44354 6.78399i 0.498785 1.38478i
\(25\) −3.24254 2.21073i −0.648508 0.442145i
\(26\) −0.364677 1.53109i −0.0715190 0.300272i
\(27\) 0.994929 0.793429i 0.191474 0.152696i
\(28\) −5.01467 + 1.68911i −0.947683 + 0.319212i
\(29\) 6.88030 + 5.48685i 1.27764 + 1.01888i 0.998276 + 0.0586973i \(0.0186947\pi\)
0.279363 + 0.960186i \(0.409877\pi\)
\(30\) −4.58148 + 9.74748i −0.836459 + 1.77964i
\(31\) 4.94919 + 8.57224i 0.888900 + 1.53962i 0.841177 + 0.540759i \(0.181863\pi\)
0.0477228 + 0.998861i \(0.484804\pi\)
\(32\) 5.44961 1.51716i 0.963364 0.268198i
\(33\) 3.17954 + 2.95018i 0.553486 + 0.513560i
\(34\) −3.43709 + 2.02783i −0.589455 + 0.347770i
\(35\) 7.69348 1.81152i 1.30044 0.306203i
\(36\) 6.72512 + 1.93639i 1.12085 + 0.322731i
\(37\) 9.08232 3.56455i 1.49312 0.586008i 0.528336 0.849035i \(-0.322816\pi\)
0.964788 + 0.263027i \(0.0847209\pi\)
\(38\) 0.633271 0.101563i 0.102730 0.0164757i
\(39\) 2.71120 0.836294i 0.434139 0.133914i
\(40\) −8.31628 + 1.49504i −1.31492 + 0.236387i
\(41\) −0.419516 1.83802i −0.0655173 0.287050i 0.931547 0.363621i \(-0.118460\pi\)
−0.997064 + 0.0765714i \(0.975603\pi\)
\(42\) −3.62895 8.82152i −0.559959 1.36119i
\(43\) −3.27731 0.748024i −0.499785 0.114073i −0.0348052 0.999394i \(-0.511081\pi\)
−0.464979 + 0.885322i \(0.653938\pi\)
\(44\) −0.443646 + 3.37371i −0.0668821 + 0.508605i
\(45\) −9.73077 3.81904i −1.45058 0.569309i
\(46\) −6.75511 + 7.41930i −0.995987 + 1.09392i
\(47\) −2.83115 + 1.93025i −0.412966 + 0.281556i −0.751929 0.659244i \(-0.770876\pi\)
0.338963 + 0.940800i \(0.389924\pi\)
\(48\) 3.37085 + 9.62414i 0.486541 + 1.38913i
\(49\) −3.41662 + 6.10956i −0.488089 + 0.872794i
\(50\) 5.53035 0.466894i 0.782110 0.0660288i
\(51\) −4.05245 5.94385i −0.567457 0.832306i
\(52\) 1.76610 + 1.35476i 0.244914 + 0.187871i
\(53\) −7.46464 2.92966i −1.02535 0.402419i −0.207733 0.978186i \(-0.566609\pi\)
−0.817614 + 0.575766i \(0.804704\pi\)
\(54\) −0.383912 + 1.75825i −0.0522438 + 0.239267i
\(55\) 1.13100 4.95523i 0.152504 0.668163i
\(56\) 3.99578 6.32722i 0.533958 0.845511i
\(57\) 0.257270 + 1.12717i 0.0340763 + 0.149298i
\(58\) −12.4448 + 0.117290i −1.63409 + 0.0154009i
\(59\) 3.14841 + 10.2069i 0.409889 + 1.32883i 0.891730 + 0.452568i \(0.149492\pi\)
−0.481841 + 0.876258i \(0.660032\pi\)
\(60\) −3.66867 14.7833i −0.473623 1.90852i
\(61\) 6.55445 2.57243i 0.839212 0.329366i 0.0934870 0.995620i \(-0.470199\pi\)
0.745725 + 0.666254i \(0.232103\pi\)
\(62\) −13.0784 4.99116i −1.66096 0.633878i
\(63\) 8.31340 4.07391i 1.04739 0.513264i
\(64\) −4.62645 + 6.52656i −0.578307 + 0.815819i
\(65\) −2.43722 2.26141i −0.302300 0.280493i
\(66\) −6.12090 0.400727i −0.753431 0.0493261i
\(67\) 7.66481 4.42528i 0.936406 0.540634i 0.0475741 0.998868i \(-0.484851\pi\)
0.888832 + 0.458234i \(0.151518\pi\)
\(68\) 1.96249 5.29150i 0.237987 0.641688i
\(69\) −14.1414 11.2774i −1.70243 1.35764i
\(70\) −6.82608 + 8.85139i −0.815873 + 1.05794i
\(71\) −0.596399 0.747861i −0.0707795 0.0887547i 0.745181 0.666862i \(-0.232363\pi\)
−0.815961 + 0.578107i \(0.803792\pi\)
\(72\) −9.10710 + 3.87484i −1.07328 + 0.456654i
\(73\) −7.21886 4.92174i −0.844904 0.576046i 0.0616681 0.998097i \(-0.480358\pi\)
−0.906572 + 0.422051i \(0.861310\pi\)
\(74\) −6.78616 + 12.0140i −0.788875 + 1.39660i
\(75\) 1.49114 + 9.89306i 0.172182 + 1.14235i
\(76\) −0.604293 + 0.676407i −0.0693171 + 0.0775891i
\(77\) 2.56116 + 3.70179i 0.291871 + 0.421858i
\(78\) −2.22896 + 3.33642i −0.252381 + 0.377775i
\(79\) −4.98291 + 8.63065i −0.560621 + 0.971024i 0.436821 + 0.899548i \(0.356104\pi\)
−0.997442 + 0.0714759i \(0.977229\pi\)
\(80\) 7.79183 9.05973i 0.871153 1.01291i
\(81\) 7.17230 + 1.08105i 0.796922 + 0.120117i
\(82\) 2.10009 + 1.64263i 0.231916 + 0.181398i
\(83\) −1.02290 2.12407i −0.112278 0.233147i 0.837257 0.546810i \(-0.184158\pi\)
−0.949534 + 0.313663i \(0.898444\pi\)
\(84\) 11.8520 + 6.44252i 1.29316 + 0.702936i
\(85\) −3.65761 + 7.59512i −0.396724 + 0.823806i
\(86\) 4.26358 2.10296i 0.459754 0.226768i
\(87\) −1.67656 22.3721i −0.179746 2.39854i
\(88\) −2.52296 4.09782i −0.268949 0.436829i
\(89\) −1.13399 + 15.1321i −0.120203 + 1.60400i 0.532529 + 0.846412i \(0.321242\pi\)
−0.652732 + 0.757589i \(0.726377\pi\)
\(90\) 14.0848 4.49039i 1.48467 0.473329i
\(91\) 2.93473 0.240154i 0.307643 0.0251750i
\(92\) 0.793527 14.1678i 0.0827309 1.47709i
\(93\) 7.43797 24.1133i 0.771281 2.50043i
\(94\) 1.38464 4.64385i 0.142815 0.478976i
\(95\) 0.993151 0.921509i 0.101895 0.0945449i
\(96\) −12.2849 7.55351i −1.25382 0.770927i
\(97\) −9.10282 −0.924251 −0.462125 0.886815i \(-0.652913\pi\)
−0.462125 + 0.886815i \(0.652913\pi\)
\(98\) −1.70139 9.75219i −0.171866 0.985120i
\(99\) 5.95341i 0.598340i
\(100\) −5.65202 + 5.44612i −0.565202 + 0.544612i
\(101\) −1.77420 1.91214i −0.176540 0.190265i 0.638583 0.769553i \(-0.279521\pi\)
−0.815123 + 0.579288i \(0.803331\pi\)
\(102\) 9.74951 + 2.90699i 0.965345 + 0.287835i
\(103\) 6.01711 + 1.85603i 0.592883 + 0.182880i 0.576654 0.816988i \(-0.304358\pi\)
0.0162285 + 0.999868i \(0.494834\pi\)
\(104\) −3.14659 + 0.0889886i −0.308548 + 0.00872605i
\(105\) −16.7258 11.2364i −1.63227 1.09656i
\(106\) 10.8047 3.44466i 1.04945 0.334575i
\(107\) −1.36534 0.102318i −0.131993 0.00989149i 0.00856988 0.999963i \(-0.497272\pi\)
−0.140563 + 0.990072i \(0.544891\pi\)
\(108\) −1.14731 2.27186i −0.110400 0.218610i
\(109\) 11.2330 0.841795i 1.07592 0.0806294i 0.475039 0.879965i \(-0.342434\pi\)
0.600885 + 0.799335i \(0.294815\pi\)
\(110\) 3.17964 + 6.44646i 0.303167 + 0.614645i
\(111\) −22.4102 10.7922i −2.12708 1.02435i
\(112\) 1.26006 + 10.5077i 0.119064 + 0.992887i
\(113\) 5.23073 2.51899i 0.492066 0.236966i −0.171360 0.985208i \(-0.554816\pi\)
0.663426 + 0.748242i \(0.269102\pi\)
\(114\) −1.28789 1.00735i −0.120622 0.0943470i
\(115\) −3.15902 + 20.9587i −0.294580 + 1.95441i
\(116\) 13.5513 11.2311i 1.25821 1.04278i
\(117\) −3.37260 1.94717i −0.311797 0.180016i
\(118\) −12.5607 8.39143i −1.15631 0.772494i
\(119\) −2.77514 6.93097i −0.254397 0.635361i
\(120\) 17.2143 + 12.9491i 1.57145 + 1.18209i
\(121\) −8.01479 + 1.20804i −0.728617 + 0.109821i
\(122\) −4.89738 + 8.67019i −0.443388 + 0.784962i
\(123\) −2.70746 + 3.97111i −0.244123 + 0.358063i
\(124\) 18.8039 6.19071i 1.68864 0.555942i
\(125\) −2.51207 + 2.00331i −0.224686 + 0.179181i
\(126\) −5.48799 + 11.8870i −0.488909 + 1.05898i
\(127\) 11.3165 14.1904i 1.00418 1.25920i 0.0385518 0.999257i \(-0.487726\pi\)
0.965625 0.259941i \(-0.0837030\pi\)
\(128\) −0.745839 11.2891i −0.0659235 0.997825i
\(129\) 4.28493 + 7.42171i 0.377267 + 0.653445i
\(130\) 4.69187 + 0.307170i 0.411504 + 0.0269406i
\(131\) −2.22875 + 2.40202i −0.194727 + 0.209866i −0.822866 0.568235i \(-0.807626\pi\)
0.628139 + 0.778101i \(0.283817\pi\)
\(132\) 7.07408 5.02091i 0.615719 0.437014i
\(133\) 0.00821897 + 1.19985i 0.000712675 + 0.104041i
\(134\) −4.46281 + 11.6939i −0.385528 + 1.01020i
\(135\) 1.38889 + 3.53884i 0.119537 + 0.304575i
\(136\) 2.56722 + 7.55725i 0.220138 + 0.648029i
\(137\) 13.5084 4.16679i 1.15410 0.355993i 0.342108 0.939661i \(-0.388859\pi\)
0.811993 + 0.583668i \(0.198383\pi\)
\(138\) 25.5786 0.241072i 2.17739 0.0205214i
\(139\) 2.07057 0.472595i 0.175624 0.0400850i −0.133805 0.991008i \(-0.542719\pi\)
0.309428 + 0.950923i \(0.399862\pi\)
\(140\) −0.406196 15.8025i −0.0343298 1.33556i
\(141\) 8.51646 + 1.94383i 0.717216 + 0.163700i
\(142\) 1.32163 + 0.288576i 0.110909 + 0.0242168i
\(143\) 0.691779 1.76262i 0.0578495 0.147398i
\(144\) 6.53652 12.3766i 0.544710 1.03139i
\(145\) −21.7215 + 14.8095i −1.80387 + 1.22986i
\(146\) 12.3122 1.03945i 1.01897 0.0860252i
\(147\) 17.3420 4.20895i 1.43034 0.347148i
\(148\) −3.27151 19.2373i −0.268916 1.58130i
\(149\) 5.61414 + 8.23443i 0.459928 + 0.674591i 0.984220 0.176948i \(-0.0566223\pi\)
−0.524292 + 0.851539i \(0.675670\pi\)
\(150\) −10.4621 9.52555i −0.854230 0.777758i
\(151\) −4.67606 + 11.9144i −0.380533 + 0.969581i 0.604406 + 0.796677i \(0.293411\pi\)
−0.984939 + 0.172905i \(0.944685\pi\)
\(152\) 0.0596592 1.28134i 0.00483900 0.103930i
\(153\) −2.19720 + 9.62657i −0.177633 + 0.778262i
\(154\) −6.11287 1.77716i −0.492589 0.143207i
\(155\) −28.8288 + 6.58000i −2.31559 + 0.528518i
\(156\) −0.530634 5.64964i −0.0424847 0.452333i
\(157\) 1.78814 + 5.79700i 0.142709 + 0.462651i 0.998505 0.0546627i \(-0.0174083\pi\)
−0.855796 + 0.517313i \(0.826932\pi\)
\(158\) −2.23182 13.9160i −0.177554 1.10709i
\(159\) 7.46871 + 19.0300i 0.592307 + 1.50917i
\(160\) −0.467667 + 16.8927i −0.0369723 + 1.33549i
\(161\) −11.8041 14.5957i −0.930296 1.15030i
\(162\) −8.83473 + 5.21236i −0.694122 + 0.409522i
\(163\) −16.4824 + 17.7639i −1.29101 + 1.39137i −0.414449 + 0.910072i \(0.636026\pi\)
−0.876556 + 0.481300i \(0.840165\pi\)
\(164\) −3.76990 + 0.0710671i −0.294380 + 0.00554941i
\(165\) −11.2215 + 6.47873i −0.873592 + 0.504369i
\(166\) 3.01739 + 1.41823i 0.234195 + 0.110076i
\(167\) −14.4422 + 18.1099i −1.11757 + 1.40139i −0.211956 + 0.977279i \(0.567983\pi\)
−0.905612 + 0.424107i \(0.860588\pi\)
\(168\) −18.7530 + 3.50406i −1.44683 + 0.270344i
\(169\) 7.33310 + 9.19542i 0.564085 + 0.707340i
\(170\) −2.76226 11.5973i −0.211855 0.889474i
\(171\) 0.893943 1.31117i 0.0683616 0.100268i
\(172\) −2.80239 + 6.11128i −0.213680 + 0.465981i
\(173\) 1.52319 + 10.1057i 0.115806 + 0.768321i 0.969060 + 0.246826i \(0.0793875\pi\)
−0.853254 + 0.521495i \(0.825374\pi\)
\(174\) 21.7985 + 23.0536i 1.65254 + 1.74769i
\(175\) −0.704991 + 10.3592i −0.0532923 + 0.783081i
\(176\) 6.42427 + 2.24580i 0.484248 + 0.169284i
\(177\) 13.6154 23.5825i 1.02339 1.77257i
\(178\) −12.2554 17.6164i −0.918584 1.32040i
\(179\) 2.79668 18.5548i 0.209034 1.38685i −0.600430 0.799678i \(-0.705004\pi\)
0.809463 0.587170i \(-0.199758\pi\)
\(180\) −11.4495 + 17.4929i −0.853396 + 1.30384i
\(181\) −8.00330 16.6190i −0.594881 1.23528i −0.953386 0.301754i \(-0.902428\pi\)
0.358505 0.933528i \(-0.383287\pi\)
\(182\) −3.00608 + 2.88168i −0.222826 + 0.213605i
\(183\) −16.1728 7.78840i −1.19553 0.575735i
\(184\) 11.7687 + 16.2545i 0.867601 + 1.19830i
\(185\) 2.17817 + 29.0657i 0.160143 + 2.13695i
\(186\) 13.3504 + 33.0956i 0.978895 + 2.42668i
\(187\) −4.78760 0.358781i −0.350104 0.0262367i
\(188\) 2.62352 + 6.33106i 0.191340 + 0.461740i
\(189\) −3.14249 1.20856i −0.228583 0.0879100i
\(190\) −0.267697 + 1.89721i −0.0194208 + 0.137638i
\(191\) 10.4507 + 3.22361i 0.756185 + 0.233252i 0.648794 0.760964i \(-0.275274\pi\)
0.107392 + 0.994217i \(0.465750\pi\)
\(192\) 20.2191 2.67109i 1.45919 0.192769i
\(193\) 4.74268 4.40056i 0.341385 0.316759i −0.490784 0.871282i \(-0.663289\pi\)
0.832169 + 0.554522i \(0.187099\pi\)
\(194\) 9.98868 8.12088i 0.717145 0.583046i
\(195\) 8.47595i 0.606976i
\(196\) 10.5672 + 9.18340i 0.754798 + 0.655957i
\(197\) 16.9909i 1.21055i 0.796016 + 0.605276i \(0.206937\pi\)
−0.796016 + 0.605276i \(0.793063\pi\)
\(198\) 5.31120 + 6.53278i 0.377451 + 0.464264i
\(199\) −3.11351 + 2.88891i −0.220711 + 0.204790i −0.782777 0.622303i \(-0.786197\pi\)
0.562066 + 0.827093i \(0.310007\pi\)
\(200\) 1.34343 11.0185i 0.0949945 0.779122i
\(201\) −21.5607 6.65061i −1.52078 0.469098i
\(202\) 3.65274 + 0.515403i 0.257006 + 0.0362637i
\(203\) 3.31240 23.0464i 0.232485 1.61754i
\(204\) −13.2917 + 5.50793i −0.930606 + 0.385632i
\(205\) 5.61632 + 0.420885i 0.392261 + 0.0293959i
\(206\) −8.25849 + 3.33138i −0.575397 + 0.232108i
\(207\) 1.85529 + 24.7571i 0.128952 + 1.72074i
\(208\) 3.37342 2.90481i 0.233905 0.201412i
\(209\) 0.695184 + 0.334783i 0.0480869 + 0.0231574i
\(210\) 28.3779 2.59166i 1.95826 0.178842i
\(211\) −8.43679 17.5192i −0.580812 1.20607i −0.959805 0.280669i \(-0.909444\pi\)
0.378992 0.925400i \(-0.376271\pi\)
\(212\) −8.78312 + 13.4191i −0.603227 + 0.921626i
\(213\) −0.363451 + 2.41134i −0.0249033 + 0.165222i
\(214\) 1.58950 1.10579i 0.108656 0.0755900i
\(215\) 5.02118 8.69693i 0.342441 0.593126i
\(216\) 3.28575 + 1.46940i 0.223567 + 0.0999799i
\(217\) 12.9387 22.7692i 0.878333 1.54567i
\(218\) −11.5752 + 10.9450i −0.783968 + 0.741288i
\(219\) 3.31972 + 22.0249i 0.224326 + 1.48831i
\(220\) −9.24014 4.23716i −0.622970 0.285670i
\(221\) −1.76912 + 2.59482i −0.119004 + 0.174547i
\(222\) 34.2191 8.15032i 2.29663 0.547013i
\(223\) −2.63725 3.30701i −0.176603 0.221453i 0.685649 0.727932i \(-0.259518\pi\)
−0.862253 + 0.506479i \(0.830947\pi\)
\(224\) −10.7569 10.4062i −0.718728 0.695292i
\(225\) 8.56198 10.7364i 0.570799 0.715759i
\(226\) −3.49251 + 7.43061i −0.232318 + 0.494277i
\(227\) 24.1910 13.9667i 1.60561 0.927002i 0.615279 0.788310i \(-0.289044\pi\)
0.990336 0.138692i \(-0.0442898\pi\)
\(228\) 2.31191 0.0435823i 0.153110 0.00288631i
\(229\) 10.4279 11.2386i 0.689097 0.742670i −0.287492 0.957783i \(-0.592821\pi\)
0.976589 + 0.215113i \(0.0690120\pi\)
\(230\) −15.2314 25.8166i −1.00433 1.70230i
\(231\) 2.47688 11.2052i 0.162967 0.737247i
\(232\) −4.85050 + 24.4136i −0.318451 + 1.60283i
\(233\) 6.14665 + 15.6614i 0.402680 + 1.02601i 0.978096 + 0.208152i \(0.0667449\pi\)
−0.575416 + 0.817861i \(0.695160\pi\)
\(234\) 5.43794 0.872127i 0.355489 0.0570127i
\(235\) −3.01724 9.78166i −0.196823 0.638085i
\(236\) 21.2693 1.99769i 1.38451 0.130038i
\(237\) 24.7693 5.65344i 1.60894 0.367230i
\(238\) 9.22853 + 5.12969i 0.598197 + 0.332509i
\(239\) 3.05782 13.3972i 0.197794 0.866593i −0.774452 0.632633i \(-0.781974\pi\)
0.972246 0.233960i \(-0.0751685\pi\)
\(240\) −30.4419 + 1.14814i −1.96501 + 0.0741120i
\(241\) 2.24015 5.70780i 0.144301 0.367672i −0.840390 0.541982i \(-0.817674\pi\)
0.984691 + 0.174310i \(0.0557695\pi\)
\(242\) 7.71705 8.47582i 0.496071 0.544847i
\(243\) −12.5671 18.4325i −0.806177 1.18244i
\(244\) −2.36095 13.8830i −0.151145 0.888771i
\(245\) −14.4322 15.1331i −0.922041 0.966816i
\(246\) −0.571801 6.77297i −0.0364567 0.431829i
\(247\) 0.417027 0.284324i 0.0265348 0.0180911i
\(248\) −15.1109 + 23.5687i −0.959545 + 1.49661i
\(249\) −2.19577 + 5.59474i −0.139151 + 0.354552i
\(250\) 0.969327 4.43935i 0.0613056 0.280769i
\(251\) 10.2618 + 2.34219i 0.647720 + 0.147838i 0.533744 0.845646i \(-0.320784\pi\)
0.113975 + 0.993484i \(0.463642\pi\)
\(252\) −4.58266 17.9398i −0.288681 1.13010i
\(253\) −11.7686 + 2.68610i −0.739884 + 0.168874i
\(254\) 0.241907 + 25.6672i 0.0151786 + 1.61050i
\(255\) 20.5361 6.33454i 1.28602 0.396684i
\(256\) 10.8898 + 11.7223i 0.680609 + 0.732646i
\(257\) 3.09244 + 7.87940i 0.192901 + 0.491503i 0.994299 0.106628i \(-0.0340054\pi\)
−0.801398 + 0.598131i \(0.795910\pi\)
\(258\) −11.3231 4.32127i −0.704942 0.269030i
\(259\) −20.2920 15.9561i −1.26088 0.991466i
\(260\) −5.42251 + 3.84869i −0.336290 + 0.238686i
\(261\) −20.9449 + 22.5732i −1.29646 + 1.39725i
\(262\) 0.302735 4.62412i 0.0187030 0.285679i
\(263\) 4.90521 + 8.49608i 0.302468 + 0.523890i 0.976694 0.214635i \(-0.0688560\pi\)
−0.674226 + 0.738525i \(0.735523\pi\)
\(264\) −3.28321 + 11.8205i −0.202068 + 0.727503i
\(265\) 14.9361 18.7293i 0.917520 1.15053i
\(266\) −1.07944 1.30929i −0.0661849 0.0802776i
\(267\) 30.2453 24.1198i 1.85098 1.47611i
\(268\) −5.53538 16.8134i −0.338127 1.02704i
\(269\) 14.8724 21.8139i 0.906789 1.33001i −0.0369480 0.999317i \(-0.511764\pi\)
0.943737 0.330698i \(-0.107284\pi\)
\(270\) −4.68115 2.64416i −0.284886 0.160918i
\(271\) 5.07541 0.764994i 0.308309 0.0464701i 0.00693446 0.999976i \(-0.497793\pi\)
0.301374 + 0.953506i \(0.402555\pi\)
\(272\) −9.55910 6.00241i −0.579605 0.363949i
\(273\) −5.53762 5.06801i −0.335152 0.306730i
\(274\) −11.1057 + 16.6235i −0.670920 + 1.00426i
\(275\) 5.78243 + 3.33849i 0.348694 + 0.201319i
\(276\) −27.8527 + 23.0839i −1.67654 + 1.38949i
\(277\) −0.658585 + 4.36943i −0.0395706 + 0.262533i −0.999865 0.0164565i \(-0.994762\pi\)
0.960294 + 0.278990i \(0.0899996\pi\)
\(278\) −1.85046 + 2.36580i −0.110983 + 0.141891i
\(279\) −31.2061 + 15.0280i −1.86826 + 0.899705i
\(280\) 14.5436 + 16.9780i 0.869147 + 1.01463i
\(281\) 10.3704 + 4.99412i 0.618646 + 0.297924i 0.716834 0.697244i \(-0.245590\pi\)
−0.0981882 + 0.995168i \(0.531305\pi\)
\(282\) −11.0794 + 5.46479i −0.659769 + 0.325423i
\(283\) 24.3030 1.82126i 1.44466 0.108262i 0.670810 0.741629i \(-0.265947\pi\)
0.773852 + 0.633367i \(0.218327\pi\)
\(284\) −1.70769 + 0.862402i −0.101333 + 0.0511742i
\(285\) −3.44424 0.258110i −0.204019 0.0152891i
\(286\) 0.813386 + 2.55131i 0.0480965 + 0.150862i
\(287\) −3.63314 + 3.41767i −0.214457 + 0.201738i
\(288\) 3.86891 + 19.4125i 0.227978 + 1.14389i
\(289\) −8.63568 2.66375i −0.507981 0.156691i
\(290\) 10.6234 35.6291i 0.623830 2.09221i
\(291\) 15.7843 + 17.0114i 0.925289 + 0.997225i
\(292\) −12.5831 + 12.1247i −0.736369 + 0.709543i
\(293\) 8.72727i 0.509852i 0.966961 + 0.254926i \(0.0820512\pi\)
−0.966961 + 0.254926i \(0.917949\pi\)
\(294\) −15.2747 + 20.0898i −0.890840 + 1.17166i
\(295\) −31.9096 −1.85785
\(296\) 20.7521 + 18.1909i 1.20619 + 1.05732i
\(297\) −1.58713 + 1.47265i −0.0920949 + 0.0854516i
\(298\) −13.5067 4.02725i −0.782420 0.233292i
\(299\) −2.32746 + 7.54543i −0.134600 + 0.436363i
\(300\) 19.9783 + 1.11897i 1.15345 + 0.0646039i
\(301\) 2.67968 + 8.48064i 0.154454 + 0.488816i
\(302\) −5.49807 17.2455i −0.316378 0.992370i
\(303\) −0.496946 + 6.63128i −0.0285488 + 0.380957i
\(304\) 1.07765 + 1.45926i 0.0618078 + 0.0836943i
\(305\) 1.57193 + 20.9759i 0.0900082 + 1.20108i
\(306\) −6.17711 12.5236i −0.353122 0.715926i
\(307\) 1.62702 3.37854i 0.0928588 0.192823i −0.849366 0.527804i \(-0.823016\pi\)
0.942225 + 0.334981i \(0.108730\pi\)
\(308\) 8.29322 3.50336i 0.472550 0.199623i
\(309\) −6.96508 14.4631i −0.396230 0.822779i
\(310\) 25.7642 32.9394i 1.46331 1.87083i
\(311\) −23.9073 3.60345i −1.35566 0.204333i −0.569315 0.822119i \(-0.692792\pi\)
−0.786346 + 0.617786i \(0.788030\pi\)
\(312\) 5.62248 + 5.72605i 0.318310 + 0.324174i
\(313\) 9.23228 15.9908i 0.521839 0.903852i −0.477838 0.878448i \(-0.658579\pi\)
0.999677 0.0254041i \(-0.00808725\pi\)
\(314\) −7.13382 4.76590i −0.402585 0.268955i
\(315\) 4.30930 + 27.3192i 0.242801 + 1.53926i
\(316\) 14.8638 + 13.2792i 0.836157 + 0.747011i
\(317\) 2.29639 + 15.2356i 0.128978 + 0.855715i 0.955962 + 0.293489i \(0.0948165\pi\)
−0.826984 + 0.562225i \(0.809945\pi\)
\(318\) −25.1727 14.2189i −1.41162 0.797354i
\(319\) −12.3709 8.43431i −0.692635 0.472230i
\(320\) −14.5573 18.9539i −0.813778 1.05956i
\(321\) 2.17629 + 2.72898i 0.121469 + 0.152317i
\(322\) 25.9741 + 5.48530i 1.44748 + 0.305684i
\(323\) −1.00054 0.797907i −0.0556718 0.0443968i
\(324\) 5.04441 13.6013i 0.280245 0.755629i
\(325\) 3.78250 2.18383i 0.209815 0.121137i
\(326\) 2.23884 34.1971i 0.123998 1.89400i
\(327\) −21.0511 19.5326i −1.16413 1.08015i
\(328\) 4.07338 3.44122i 0.224915 0.190010i
\(329\) 8.19477 + 3.87747i 0.451792 + 0.213772i
\(330\) 6.53368 17.1203i 0.359667 0.942439i
\(331\) −9.43962 + 3.70478i −0.518848 + 0.203633i −0.610291 0.792177i \(-0.708947\pi\)
0.0914426 + 0.995810i \(0.470852\pi\)
\(332\) −4.57628 + 1.13566i −0.251156 + 0.0623275i
\(333\) 10.0631 + 32.6238i 0.551456 + 1.78778i
\(334\) −0.308723 32.7566i −0.0168926 1.79236i
\(335\) 5.88346 + 25.7771i 0.321448 + 1.40835i
\(336\) 17.4519 20.5752i 0.952081 1.12247i
\(337\) 1.14520 5.01745i 0.0623830 0.273318i −0.934111 0.356983i \(-0.883805\pi\)
0.996494 + 0.0836650i \(0.0266626\pi\)
\(338\) −16.2502 3.54822i −0.883897 0.192998i
\(339\) −13.7776 5.40729i −0.748294 0.293684i
\(340\) 13.3774 + 10.2617i 0.725490 + 0.556516i
\(341\) −9.48679 13.9146i −0.513738 0.753516i
\(342\) 0.188796 + 2.23629i 0.0102089 + 0.120925i
\(343\) 18.5163 0.380557i 0.999789 0.0205481i
\(344\) −2.37693 9.20611i −0.128156 0.496360i
\(345\) 44.6454 30.4387i 2.40363 1.63877i
\(346\) −10.6870 9.73027i −0.574536 0.523103i
\(347\) −22.1765 8.70364i −1.19050 0.467236i −0.314363 0.949303i \(-0.601791\pi\)
−0.876134 + 0.482067i \(0.839886\pi\)
\(348\) −44.4867 5.85004i −2.38474 0.313595i
\(349\) 17.2581 + 3.93905i 0.923804 + 0.210852i 0.657864 0.753137i \(-0.271460\pi\)
0.265941 + 0.963989i \(0.414317\pi\)
\(350\) −8.46813 11.9963i −0.452640 0.641227i
\(351\) 0.315151 + 1.38077i 0.0168215 + 0.0736998i
\(352\) −9.05301 + 3.26692i −0.482527 + 0.174127i
\(353\) −7.59305 + 2.34215i −0.404137 + 0.124660i −0.490158 0.871634i \(-0.663061\pi\)
0.0860210 + 0.996293i \(0.472585\pi\)
\(354\) 6.09825 + 38.0242i 0.324118 + 2.02096i
\(355\) 2.66005 1.04399i 0.141181 0.0554093i
\(356\) 29.1642 + 8.39736i 1.54570 + 0.445059i
\(357\) −8.14054 + 17.2045i −0.430843 + 0.910558i
\(358\) 13.4844 + 22.8555i 0.712672 + 1.20795i
\(359\) 5.26458 + 4.88482i 0.277854 + 0.257811i 0.806773 0.590861i \(-0.201212\pi\)
−0.528919 + 0.848672i \(0.677402\pi\)
\(360\) −3.04213 29.4097i −0.160334 1.55003i
\(361\) −9.39716 16.2764i −0.494588 0.856651i
\(362\) 23.6085 + 11.0964i 1.24083 + 0.583212i
\(363\) 16.1552 + 12.8833i 0.847928 + 0.676200i
\(364\) 0.727797 5.84394i 0.0381469 0.306306i
\(365\) 20.4064 16.2736i 1.06812 0.851799i
\(366\) 24.6949 5.88185i 1.29082 0.307449i
\(367\) 17.4575 + 11.9023i 0.911274 + 0.621296i 0.925560 0.378602i \(-0.123595\pi\)
−0.0142855 + 0.999898i \(0.504547\pi\)
\(368\) −27.4151 7.33710i −1.42911 0.382473i
\(369\) 6.52326 0.983223i 0.339587 0.0511845i
\(370\) −28.3205 29.9511i −1.47231 1.55708i
\(371\) 3.30574 + 20.9571i 0.171625 + 1.08804i
\(372\) −44.1751 24.4061i −2.29037 1.26540i
\(373\) −12.7062 7.33594i −0.657903 0.379840i 0.133574 0.991039i \(-0.457354\pi\)
−0.791478 + 0.611198i \(0.790688\pi\)
\(374\) 5.57360 3.87746i 0.288204 0.200499i
\(375\) 8.09970 + 1.22083i 0.418267 + 0.0630435i
\(376\) −8.52695 4.60667i −0.439744 0.237571i
\(377\) −8.82414 + 4.24948i −0.454466 + 0.218859i
\(378\) 4.52651 1.47733i 0.232819 0.0759858i
\(379\) −11.3912 + 23.6542i −0.585129 + 1.21503i 0.372770 + 0.927924i \(0.378408\pi\)
−0.957898 + 0.287108i \(0.907306\pi\)
\(380\) −1.39880 2.32066i −0.0717571 0.119047i
\(381\) −46.1419 + 3.45786i −2.36392 + 0.177151i
\(382\) −14.3436 + 5.78604i −0.733883 + 0.296039i
\(383\) 0.703275 9.38455i 0.0359357 0.479528i −0.949983 0.312302i \(-0.898900\pi\)
0.985919 0.167226i \(-0.0534811\pi\)
\(384\) −19.8038 + 20.9691i −1.01061 + 1.07007i
\(385\) −12.8226 + 4.05164i −0.653499 + 0.206490i
\(386\) −1.27836 + 9.05989i −0.0650666 + 0.461136i
\(387\) 3.46714 11.2402i 0.176245 0.571371i
\(388\) −3.71588 + 17.8224i −0.188645 + 0.904794i
\(389\) 8.30312 + 8.94863i 0.420985 + 0.453714i 0.907558 0.419926i \(-0.137944\pi\)
−0.486574 + 0.873640i \(0.661753\pi\)
\(390\) −7.56164 9.30081i −0.382899 0.470965i
\(391\) 20.0210 1.01250
\(392\) −19.7883 0.649818i −0.999461 0.0328208i
\(393\) 8.35356 0.421381
\(394\) −15.1581 18.6444i −0.763653 0.939292i
\(395\) −20.2499 21.8242i −1.01888 1.09810i
\(396\) −11.6562 2.43025i −0.585744 0.122125i
\(397\) −3.51013 + 11.3796i −0.176168 + 0.571124i 0.823823 + 0.566848i \(0.191837\pi\)
−0.999991 + 0.00427579i \(0.998639\pi\)
\(398\) 0.839225 5.94771i 0.0420666 0.298132i
\(399\) 2.22804 2.09590i 0.111542 0.104926i
\(400\) 8.35571 + 13.2892i 0.417786 + 0.664462i
\(401\) 0.498112 6.64684i 0.0248745 0.331927i −0.970859 0.239651i \(-0.922967\pi\)
0.995733 0.0922757i \(-0.0294141\pi\)
\(402\) 29.5922 11.9371i 1.47592 0.595370i
\(403\) −10.9854 + 0.823243i −0.547222 + 0.0410086i
\(404\) −4.46802 + 2.69315i −0.222292 + 0.133989i
\(405\) −9.40158 + 19.5226i −0.467168 + 0.970085i
\(406\) 16.9256 + 28.2443i 0.840003 + 1.40174i
\(407\) −14.9560 + 7.20244i −0.741343 + 0.357012i
\(408\) 9.67145 17.9019i 0.478808 0.886275i
\(409\) 8.46298 + 1.27559i 0.418467 + 0.0630738i 0.354901 0.934904i \(-0.384514\pi\)
0.0635662 + 0.997978i \(0.479753\pi\)
\(410\) −6.53837 + 4.54864i −0.322907 + 0.224641i
\(411\) −31.2104 18.0194i −1.53950 0.888829i
\(412\) 6.09017 11.0232i 0.300041 0.543075i
\(413\) 19.0797 20.8476i 0.938848 1.02584i
\(414\) −24.1224 25.5113i −1.18555 1.25381i
\(415\) 6.96422 1.04969i 0.341860 0.0515272i
\(416\) −1.11025 + 6.19703i −0.0544343 + 0.303834i
\(417\) −4.47355 3.05002i −0.219071 0.149360i
\(418\) −1.06151 + 0.252830i −0.0519200 + 0.0123663i
\(419\) −22.6721 + 18.0804i −1.10761 + 0.883286i −0.993906 0.110229i \(-0.964842\pi\)
−0.113700 + 0.993515i \(0.536270\pi\)
\(420\) −28.8275 + 28.1606i −1.40664 + 1.37410i
\(421\) 8.07775 + 6.44179i 0.393685 + 0.313954i 0.800248 0.599669i \(-0.204701\pi\)
−0.406563 + 0.913623i \(0.633273\pi\)
\(422\) 24.8872 + 11.6974i 1.21149 + 0.569420i
\(423\) −5.99505 10.3837i −0.291489 0.504875i
\(424\) −2.33367 22.5607i −0.113333 1.09564i
\(425\) −8.11798 7.53239i −0.393780 0.365374i
\(426\) −1.75241 2.97025i −0.0849043 0.143909i
\(427\) −14.6441 11.5151i −0.708679 0.557254i
\(428\) −0.757679 + 2.63144i −0.0366238 + 0.127195i
\(429\) −4.49354 + 1.76358i −0.216950 + 0.0851467i
\(430\) 2.24896 + 14.0228i 0.108454 + 0.676241i
\(431\) 0.429098 0.132359i 0.0206689 0.00637552i −0.284403 0.958705i \(-0.591796\pi\)
0.305072 + 0.952329i \(0.401319\pi\)
\(432\) −4.91641 + 1.31892i −0.236541 + 0.0634565i
\(433\) −4.20956 18.4433i −0.202299 0.886328i −0.969533 0.244961i \(-0.921225\pi\)
0.767234 0.641367i \(-0.221632\pi\)
\(434\) 6.11523 + 36.5280i 0.293540 + 1.75340i
\(435\) 65.3411 + 14.9137i 3.13287 + 0.715056i
\(436\) 2.93729 22.3366i 0.140671 1.06973i
\(437\) −2.99524 1.17555i −0.143282 0.0562340i
\(438\) −23.2919 21.2067i −1.11293 1.01330i
\(439\) 1.26880 0.865056i 0.0605567 0.0412869i −0.532663 0.846327i \(-0.678809\pi\)
0.593220 + 0.805040i \(0.297856\pi\)
\(440\) 13.9195 3.59388i 0.663585 0.171332i
\(441\) −20.4252 13.5195i −0.972628 0.643787i
\(442\) −0.373629 4.42563i −0.0177717 0.210506i
\(443\) −2.44680 3.58880i −0.116251 0.170509i 0.763703 0.645568i \(-0.223379\pi\)
−0.879954 + 0.475059i \(0.842427\pi\)
\(444\) −30.2781 + 39.4713i −1.43693 + 1.87322i
\(445\) −42.1985 16.5617i −2.00040 0.785100i
\(446\) 5.84417 + 1.27607i 0.276730 + 0.0604237i
\(447\) 5.65364 24.7702i 0.267408 1.17159i
\(448\) 21.0874 + 1.82231i 0.996287 + 0.0860962i
\(449\) −0.698543 3.06052i −0.0329663 0.144435i 0.955766 0.294127i \(-0.0950289\pi\)
−0.988733 + 0.149692i \(0.952172\pi\)
\(450\) 0.183025 + 19.4196i 0.00862789 + 0.915450i
\(451\) 0.945451 + 3.06508i 0.0445195 + 0.144329i
\(452\) −2.79667 11.2695i −0.131544 0.530073i
\(453\) 30.3740 11.9209i 1.42709 0.560093i
\(454\) −14.0851 + 36.9074i −0.661049 + 1.73215i
\(455\) −1.89861 + 8.58913i −0.0890082 + 0.402665i
\(456\) −2.49802 + 2.11035i −0.116981 + 0.0988261i
\(457\) −10.7665 9.98988i −0.503637 0.467307i 0.386962 0.922096i \(-0.373524\pi\)
−0.890599 + 0.454789i \(0.849715\pi\)
\(458\) −1.41644 + 21.6354i −0.0661860 + 1.01096i
\(459\) 3.10988 1.79549i 0.145157 0.0838062i
\(460\) 39.7454 + 14.7406i 1.85314 + 0.687285i
\(461\) 8.84185 + 7.05114i 0.411806 + 0.328404i 0.807382 0.590029i \(-0.200884\pi\)
−0.395576 + 0.918433i \(0.629455\pi\)
\(462\) 7.27854 + 14.5053i 0.338628 + 0.674850i
\(463\) 16.6478 + 20.8756i 0.773687 + 0.970173i 0.999992 0.00388357i \(-0.00123618\pi\)
−0.226305 + 0.974056i \(0.572665\pi\)
\(464\) −16.4576 31.1168i −0.764023 1.44456i
\(465\) 62.2858 + 42.4658i 2.88844 + 1.96930i
\(466\) −20.7168 11.7019i −0.959688 0.542082i
\(467\) 1.68665 + 11.1902i 0.0780490 + 0.517821i 0.993358 + 0.115068i \(0.0367086\pi\)
−0.915309 + 0.402753i \(0.868053\pi\)
\(468\) −5.18910 + 5.80834i −0.239866 + 0.268491i
\(469\) −20.3589 11.5690i −0.940087 0.534207i
\(470\) 12.0374 + 8.04182i 0.555243 + 0.370941i
\(471\) 7.73283 13.3937i 0.356310 0.617147i
\(472\) −21.5570 + 21.1671i −0.992241 + 0.974293i
\(473\) 5.65544 + 0.852421i 0.260038 + 0.0391944i
\(474\) −22.1362 + 28.3011i −1.01675 + 1.29991i
\(475\) 0.772223 + 1.60354i 0.0354320 + 0.0735753i
\(476\) −14.7030 + 2.60414i −0.673910 + 0.119361i
\(477\) 12.1747 25.2809i 0.557439 1.15753i
\(478\) 8.59662 + 17.4290i 0.393200 + 0.797182i
\(479\) 1.11592 + 14.8909i 0.0509876 + 0.680382i 0.962876 + 0.269944i \(0.0870052\pi\)
−0.911888 + 0.410438i \(0.865376\pi\)
\(480\) 32.3801 28.4179i 1.47794 1.29710i
\(481\) −0.811466 + 10.8283i −0.0369997 + 0.493726i
\(482\) 2.63394 + 8.26177i 0.119973 + 0.376313i
\(483\) −6.80815 + 47.3685i −0.309781 + 2.15534i
\(484\) −0.906526 + 16.1853i −0.0412057 + 0.735694i
\(485\) 8.01545 25.9855i 0.363963 1.17994i
\(486\) 30.2342 + 9.01486i 1.37145 + 0.408922i
\(487\) −27.1938 + 25.2322i −1.23227 + 1.14338i −0.247616 + 0.968858i \(0.579647\pi\)
−0.984654 + 0.174520i \(0.944163\pi\)
\(488\) 14.9762 + 13.1278i 0.677940 + 0.594269i
\(489\) 61.7777 2.79368
\(490\) 29.3374 + 3.73037i 1.32533 + 0.168521i
\(491\) 7.51968i 0.339359i 0.985499 + 0.169679i \(0.0542732\pi\)
−0.985499 + 0.169679i \(0.945727\pi\)
\(492\) 6.66981 + 6.92198i 0.300698 + 0.312067i
\(493\) 16.8907 + 18.2038i 0.760717 + 0.819858i
\(494\) −0.203957 + 0.684035i −0.00917646 + 0.0307762i
\(495\) 16.9950 + 5.24225i 0.763867 + 0.235622i
\(496\) −4.44479 39.3432i −0.199577 1.76656i
\(497\) −0.908444 + 2.36213i −0.0407493 + 0.105956i
\(498\) −2.58177 8.09811i −0.115692 0.362885i
\(499\) −14.2907 1.07094i −0.639740 0.0479419i −0.249089 0.968481i \(-0.580131\pi\)
−0.390651 + 0.920539i \(0.627750\pi\)
\(500\) 2.89681 + 5.73614i 0.129549 + 0.256528i
\(501\) 58.8865 4.41293i 2.63086 0.197155i
\(502\) −13.3500 + 6.58473i −0.595840 + 0.293891i
\(503\) −38.5332 18.5566i −1.71811 0.827399i −0.989853 0.142096i \(-0.954616\pi\)
−0.728258 0.685303i \(-0.759670\pi\)
\(504\) 21.0333 + 15.5973i 0.936896 + 0.694761i
\(505\) 7.02077 3.38103i 0.312420 0.150454i
\(506\) 10.5175 13.4466i 0.467561 0.597774i
\(507\) 4.46886 29.6490i 0.198469 1.31676i
\(508\) −23.1639 27.9492i −1.02773 1.24005i
\(509\) −11.8759 6.85655i −0.526390 0.303911i 0.213155 0.977018i \(-0.431626\pi\)
−0.739545 + 0.673107i \(0.764959\pi\)
\(510\) −16.8834 + 25.2718i −0.747608 + 1.11906i
\(511\) −1.56952 + 23.0626i −0.0694315 + 1.02023i
\(512\) −22.4074 3.14807i −0.990275 0.139126i
\(513\) −0.570677 + 0.0860157i −0.0251960 + 0.00379769i
\(514\) −10.4228 5.88735i −0.459731 0.259680i
\(515\) −10.5967 + 15.5425i −0.466946 + 0.684884i
\(516\) 16.2801 5.35982i 0.716692 0.235953i
\(517\) 4.55797 3.63486i 0.200459 0.159861i
\(518\) 36.5017 0.594093i 1.60379 0.0261029i
\(519\) 16.2443 20.3698i 0.713048 0.894133i
\(520\) 2.51669 9.06081i 0.110364 0.397343i
\(521\) −16.0337 27.7712i −0.702449 1.21668i −0.967604 0.252471i \(-0.918757\pi\)
0.265156 0.964206i \(-0.414577\pi\)
\(522\) 2.84498 43.4556i 0.124521 1.90200i
\(523\) 25.1238 27.0770i 1.09859 1.18400i 0.116971 0.993135i \(-0.462682\pi\)
0.981617 0.190861i \(-0.0611280\pi\)
\(524\) 3.79311 + 5.34420i 0.165703 + 0.233463i
\(525\) 20.5817 16.6453i 0.898260 0.726460i
\(526\) −12.9622 4.94681i −0.565177 0.215691i
\(527\) 10.2046 + 26.0009i 0.444519 + 1.13262i
\(528\) −6.94270 15.8999i −0.302142 0.691955i
\(529\) 26.1242 8.05825i 1.13584 0.350359i
\(530\) 0.319282 + 33.8770i 0.0138687 + 1.47152i
\(531\) −36.4391 + 8.31700i −1.58132 + 0.360927i
\(532\) 2.35255 + 0.473703i 0.101996 + 0.0205376i
\(533\) 2.04559 + 0.466892i 0.0886043 + 0.0202234i
\(534\) −11.6707 + 53.4498i −0.505041 + 2.31300i
\(535\) 1.49433 3.80750i 0.0646057 0.164613i
\(536\) 21.0738 + 13.5113i 0.910248 + 0.583601i
\(537\) −39.5246 + 26.9474i −1.70561 + 1.16287i
\(538\) 3.14099 + 37.2049i 0.135417 + 1.60402i
\(539\) 5.01991 10.8000i 0.216223 0.465188i
\(540\) 7.49564 1.27471i 0.322561 0.0548548i
\(541\) −8.35485 12.2543i −0.359203 0.526854i 0.603518 0.797349i \(-0.293765\pi\)
−0.962721 + 0.270495i \(0.912813\pi\)
\(542\) −4.88686 + 5.36736i −0.209909 + 0.230548i
\(543\) −17.1800 + 43.7739i −0.737264 + 1.87852i
\(544\) 15.8443 1.94140i 0.679318 0.0832368i
\(545\) −7.48812 + 32.8076i −0.320756 + 1.40532i
\(546\) 10.5978 + 0.620953i 0.453546 + 0.0265743i
\(547\) −3.08921 + 0.705092i −0.132085 + 0.0301475i −0.288052 0.957615i \(-0.593008\pi\)
0.155967 + 0.987762i \(0.450151\pi\)
\(548\) −2.64385 28.1490i −0.112940 1.20247i
\(549\) 7.26227 + 23.5437i 0.309946 + 1.00482i
\(550\) −9.32353 + 1.49529i −0.397557 + 0.0637595i
\(551\) −1.45808 3.71513i −0.0621164 0.158270i
\(552\) 9.96949 50.1786i 0.424330 2.13574i
\(553\) 26.3665 0.180610i 1.12122 0.00768030i
\(554\) −3.17542 5.38219i −0.134910 0.228667i
\(555\) 50.5412 54.4704i 2.14535 2.31214i
\(556\) −0.0800589 4.24689i −0.00339525 0.180108i
\(557\) −39.2613 + 22.6675i −1.66356 + 0.960454i −0.692558 + 0.721362i \(0.743516\pi\)
−0.970997 + 0.239092i \(0.923150\pi\)
\(558\) 20.8360 44.3304i 0.882058 1.87665i
\(559\) 2.33261 2.92500i 0.0986590 0.123714i
\(560\) −31.1055 5.65550i −1.31445 0.238988i
\(561\) 7.63119 + 9.56921i 0.322189 + 0.404012i
\(562\) −15.8350 + 3.77159i −0.667960 + 0.159095i
\(563\) −17.0286 + 24.9764i −0.717670 + 1.05263i 0.278082 + 0.960557i \(0.410301\pi\)
−0.995752 + 0.0920717i \(0.970651\pi\)
\(564\) 7.28234 15.8809i 0.306642 0.668705i
\(565\) 2.58495 + 17.1501i 0.108750 + 0.721508i
\(566\) −25.0433 + 23.6799i −1.05265 + 0.995340i
\(567\) −7.13326 17.8155i −0.299569 0.748179i
\(568\) 1.10451 2.46981i 0.0463441 0.103631i
\(569\) 4.19555 7.26691i 0.175887 0.304645i −0.764581 0.644528i \(-0.777054\pi\)
0.940468 + 0.339883i \(0.110387\pi\)
\(570\) 4.00969 2.78948i 0.167948 0.116838i
\(571\) −3.65829 + 24.2712i −0.153095 + 1.01572i 0.771902 + 0.635742i \(0.219306\pi\)
−0.924996 + 0.379976i \(0.875932\pi\)
\(572\) −3.16864 2.07396i −0.132488 0.0867165i
\(573\) −12.0972 25.1200i −0.505366 1.04940i
\(574\) 0.937705 6.99149i 0.0391391 0.291819i
\(575\) −25.0866 12.0810i −1.04618 0.503815i
\(576\) −21.5639 17.8501i −0.898496 0.743756i
\(577\) −0.375051 5.00470i −0.0156136 0.208349i −0.999554 0.0298531i \(-0.990496\pi\)
0.983941 0.178495i \(-0.0571230\pi\)
\(578\) 11.8525 4.78115i 0.492999 0.198870i
\(579\) −16.4476 1.23258i −0.683538 0.0512241i
\(580\) 20.1285 + 48.5739i 0.835789 + 2.01692i
\(581\) −3.47831 + 5.17759i −0.144305 + 0.214803i
\(582\) −32.4967 4.58530i −1.34703 0.190067i
\(583\) 13.0371 + 4.02142i 0.539943 + 0.166550i
\(584\) 2.99087 24.5304i 0.123763 1.01507i
\(585\) 8.52824 7.91305i 0.352599 0.327164i
\(586\) −7.78585 9.57658i −0.321630 0.395605i
\(587\) 28.9817i 1.19620i −0.801420 0.598102i \(-0.795922\pi\)
0.801420 0.598102i \(-0.204078\pi\)
\(588\) −1.16149 35.6720i −0.0478988 1.47109i
\(589\) 4.48904i 0.184968i
\(590\) 35.0150 28.4675i 1.44154 1.17199i
\(591\) 31.7527 29.4622i 1.30613 1.21191i
\(592\) −39.0002 1.44765i −1.60290 0.0594980i
\(593\) 2.49494 + 0.769586i 0.102455 + 0.0316031i 0.345559 0.938397i \(-0.387689\pi\)
−0.243104 + 0.970000i \(0.578166\pi\)
\(594\) 0.427801 3.03189i 0.0175529 0.124400i
\(595\) 22.2292 1.81905i 0.911309 0.0745739i
\(596\) 18.4139 7.63052i 0.754264 0.312558i
\(597\) 10.7976 + 0.809170i 0.441918 + 0.0331171i
\(598\) −4.17753 10.3561i −0.170832 0.423493i
\(599\) 0.504370 + 6.73036i 0.0206080 + 0.274995i 0.997983 + 0.0634811i \(0.0202203\pi\)
−0.977375 + 0.211514i \(0.932161\pi\)
\(600\) −22.9208 + 16.5954i −0.935738 + 0.677503i
\(601\) −25.9707 12.5068i −1.05937 0.510164i −0.178701 0.983903i \(-0.557190\pi\)
−0.880665 + 0.473739i \(0.842904\pi\)
\(602\) −10.5063 6.91533i −0.428204 0.281848i
\(603\) 13.4372 + 27.9027i 0.547206 + 1.13629i
\(604\) 21.4184 + 14.0189i 0.871501 + 0.570419i
\(605\) 3.60886 23.9433i 0.146721 0.973432i
\(606\) −5.37065 7.71996i −0.218168 0.313602i
\(607\) 3.63926 6.30338i 0.147713 0.255846i −0.782669 0.622438i \(-0.786142\pi\)
0.930382 + 0.366592i \(0.119475\pi\)
\(608\) −2.48438 0.639865i −0.100755 0.0259500i
\(609\) −48.8129 + 33.7721i −1.97800 + 1.36852i
\(610\) −20.4381 21.6149i −0.827515 0.875160i
\(611\) −0.568376 3.77093i −0.0229940 0.152555i
\(612\) 17.9509 + 8.23158i 0.725622 + 0.332742i
\(613\) 26.2621 38.5194i 1.06072 1.55578i 0.251872 0.967761i \(-0.418954\pi\)
0.808844 0.588024i \(-0.200094\pi\)
\(614\) 1.22874 + 5.15884i 0.0495877 + 0.208194i
\(615\) −8.95213 11.2256i −0.360985 0.452661i
\(616\) −5.97484 + 11.2429i −0.240733 + 0.452990i
\(617\) −20.2298 + 25.3674i −0.814422 + 1.02125i 0.184837 + 0.982769i \(0.440824\pi\)
−0.999259 + 0.0384840i \(0.987747\pi\)
\(618\) 20.5459 + 9.65691i 0.826477 + 0.388458i
\(619\) 10.0066 5.77731i 0.402199 0.232210i −0.285233 0.958458i \(-0.592071\pi\)
0.687432 + 0.726248i \(0.258738\pi\)
\(620\) 1.11467 + 59.1300i 0.0447662 + 2.37472i
\(621\) 6.14115 6.61858i 0.246436 0.265595i
\(622\) 29.4487 17.3743i 1.18079 0.696646i
\(623\) 36.0520 17.6670i 1.44439 0.707811i
\(624\) −11.2780 1.26732i −0.451482 0.0507336i
\(625\) −10.6756 27.2010i −0.427024 1.08804i
\(626\) 4.13509 + 25.7833i 0.165271 + 1.03051i
\(627\) −0.579803 1.87967i −0.0231551 0.0750669i
\(628\) 12.0799 1.13458i 0.482039 0.0452748i
\(629\) 26.8418 6.12647i 1.07025 0.244279i
\(630\) −29.1009 26.1334i −1.15941 1.04118i
\(631\) 8.94465 39.1891i 0.356081 1.56009i −0.406778 0.913527i \(-0.633348\pi\)
0.762859 0.646565i \(-0.223795\pi\)
\(632\) −28.1571 1.31099i −1.12003 0.0521485i
\(633\) −18.1105 + 46.1449i −0.719829 + 1.83409i
\(634\) −16.1120 14.6696i −0.639888 0.582603i
\(635\) 30.5442 + 44.8001i 1.21211 + 1.77784i
\(636\) 40.3075 6.85471i 1.59830 0.271807i
\(637\) −4.47633 6.37611i −0.177359 0.252631i
\(638\) 21.0992 1.78128i 0.835327 0.0705217i
\(639\) 2.76553 1.88551i 0.109403 0.0745895i
\(640\) 32.8833 + 7.81146i 1.29983 + 0.308775i
\(641\) 4.91803 12.5309i 0.194251 0.494942i −0.800251 0.599665i \(-0.795300\pi\)
0.994501 + 0.104723i \(0.0333956\pi\)
\(642\) −4.82268 1.05303i −0.190336 0.0415597i
\(643\) 6.09394 + 1.39090i 0.240322 + 0.0548518i 0.340985 0.940069i \(-0.389239\pi\)
−0.100664 + 0.994921i \(0.532097\pi\)
\(644\) −33.3954 + 17.1531i −1.31596 + 0.675929i
\(645\) −24.9596 + 5.69686i −0.982782 + 0.224314i
\(646\) 1.80975 0.0170565i 0.0712037 0.000671077i
\(647\) 28.9299 8.92369i 1.13735 0.350827i 0.331799 0.943350i \(-0.392345\pi\)
0.805553 + 0.592524i \(0.201868\pi\)
\(648\) 6.59882 + 19.4252i 0.259226 + 0.763095i
\(649\) −6.63940 16.9169i −0.260619 0.664047i
\(650\) −2.20235 + 5.77083i −0.0863833 + 0.226351i
\(651\) −64.9867 + 15.3019i −2.54703 + 0.599728i
\(652\) 28.0515 + 39.5224i 1.09858 + 1.54782i
\(653\) −28.0391 + 30.2190i −1.09726 + 1.18256i −0.115323 + 0.993328i \(0.536790\pi\)
−0.981932 + 0.189232i \(0.939400\pi\)
\(654\) 40.5253 + 2.65314i 1.58466 + 0.103746i
\(655\) −4.89445 8.47743i −0.191242 0.331241i
\(656\) −1.39978 + 7.41009i −0.0546521 + 0.289315i
\(657\) 19.0615 23.9024i 0.743661 0.932522i
\(658\) −12.4515 + 3.05598i −0.485409 + 0.119134i
\(659\) −2.67152 + 2.13046i −0.104067 + 0.0829910i −0.674141 0.738603i \(-0.735486\pi\)
0.570074 + 0.821594i \(0.306915\pi\)
\(660\) 8.10395 + 24.6152i 0.315446 + 0.958147i
\(661\) −3.70330 + 5.43175i −0.144042 + 0.211271i −0.891479 0.453062i \(-0.850332\pi\)
0.747437 + 0.664332i \(0.231284\pi\)
\(662\) 7.05312 12.4867i 0.274127 0.485308i
\(663\) 7.91687 1.19328i 0.307466 0.0463430i
\(664\) 4.00848 5.32881i 0.155559 0.206798i
\(665\) −3.43241 1.03306i −0.133103 0.0400605i
\(666\) −40.1471 26.8211i −1.55567 1.03930i
\(667\) 54.0724 + 31.2187i 2.09369 + 1.20879i
\(668\) 29.5619 + 35.6690i 1.14378 + 1.38007i
\(669\) −1.60716 + 10.6628i −0.0621365 + 0.412249i
\(670\) −29.4525 23.0369i −1.13785 0.889993i
\(671\) −10.7933 + 5.19780i −0.416672 + 0.200659i
\(672\) −0.794622 + 38.1469i −0.0306532 + 1.47155i
\(673\) −11.4440 5.51114i −0.441134 0.212439i 0.200114 0.979773i \(-0.435869\pi\)
−0.641248 + 0.767334i \(0.721583\pi\)
\(674\) 3.21956 + 6.52740i 0.124013 + 0.251426i
\(675\) −4.98015 + 0.373211i −0.191686 + 0.0143649i
\(676\) 20.9972 10.6038i 0.807583 0.407838i
\(677\) −42.1104 3.15574i −1.61843 0.121285i −0.765546 0.643381i \(-0.777531\pi\)
−0.852887 + 0.522096i \(0.825150\pi\)
\(678\) 19.9424 6.35784i 0.765882 0.244171i
\(679\) 12.1845 + 20.7742i 0.467597 + 0.797240i
\(680\) −23.8339 + 0.674047i −0.913990 + 0.0258485i
\(681\) −68.0481 20.9901i −2.60761 0.804341i
\(682\) 22.8236 + 6.80526i 0.873961 + 0.260587i
\(683\) −6.68451 7.20419i −0.255776 0.275661i 0.592090 0.805872i \(-0.298303\pi\)
−0.847866 + 0.530211i \(0.822113\pi\)
\(684\) −2.20223 2.28549i −0.0842042 0.0873878i
\(685\) 42.2310i 1.61356i
\(686\) −19.9788 + 16.9366i −0.762795 + 0.646641i
\(687\) −39.0848 −1.49118
\(688\) 10.8213 + 7.98149i 0.412558 + 0.304292i
\(689\) 6.54217 6.07024i 0.249237 0.231258i
\(690\) −21.8349 + 73.2304i −0.831242 + 2.78783i
\(691\) 7.87113 25.5176i 0.299432 0.970734i −0.673411 0.739268i \(-0.735172\pi\)
0.972843 0.231466i \(-0.0743522\pi\)
\(692\) 20.4077 + 1.14302i 0.775784 + 0.0434511i
\(693\) −13.5867 + 7.96887i −0.516116 + 0.302712i
\(694\) 32.0994 10.2336i 1.21848 0.388464i
\(695\) −0.474138 + 6.32693i −0.0179851 + 0.239994i
\(696\) 54.0350 33.2685i 2.04819 1.26104i
\(697\) −0.397563 5.30511i −0.0150588 0.200946i
\(698\) −22.4517 + 11.0741i −0.849811 + 0.419159i
\(699\) 18.6098 38.6437i 0.703889 1.46164i
\(700\) 19.9944 + 5.60905i 0.755718 + 0.212002i
\(701\) −14.4361 29.9769i −0.545244 1.13221i −0.973528 0.228567i \(-0.926596\pi\)
0.428284 0.903644i \(-0.359118\pi\)
\(702\) −1.57764 1.23398i −0.0595443 0.0465737i
\(703\) −4.37540 0.659485i −0.165021 0.0248730i
\(704\) 7.01951 11.6613i 0.264558 0.439502i
\(705\) −13.0481 + 22.6000i −0.491420 + 0.851165i
\(706\) 6.24249 9.34405i 0.234939 0.351668i
\(707\) −1.98898 + 6.60851i −0.0748035 + 0.248539i
\(708\) −40.6142 36.2842i −1.52637 1.36364i
\(709\) 5.79027 + 38.4159i 0.217458 + 1.44274i 0.785051 + 0.619431i \(0.212636\pi\)
−0.567593 + 0.823309i \(0.692125\pi\)
\(710\) −1.98754 + 3.51870i −0.0745911 + 0.132054i
\(711\) −28.8127 19.6442i −1.08056 0.736714i
\(712\) −39.4939 + 16.8037i −1.48010 + 0.629744i
\(713\) 43.7869 + 54.9071i 1.63983 + 2.05629i
\(714\) −6.41586 26.1412i −0.240107 0.978309i
\(715\) 4.42255 + 3.52687i 0.165394 + 0.131897i
\(716\) −35.1867 13.0499i −1.31499 0.487697i
\(717\) −30.3390 + 17.5162i −1.13303 + 0.654155i
\(718\) −10.1348 0.663512i −0.378228 0.0247621i
\(719\) 27.5368 + 25.5504i 1.02695 + 0.952869i 0.998907 0.0467375i \(-0.0148824\pi\)
0.0280416 + 0.999607i \(0.491073\pi\)
\(720\) 29.5754 + 29.5578i 1.10221 + 1.10155i
\(721\) −3.81835 16.2164i −0.142203 0.603932i
\(722\) 24.8323 + 9.47686i 0.924162 + 0.352692i
\(723\) −14.5512 + 5.71091i −0.541164 + 0.212391i
\(724\) −35.8054 + 8.88555i −1.33070 + 0.330229i
\(725\) −10.1797 33.0018i −0.378065 1.22566i
\(726\) −29.2210 + 0.275401i −1.08449 + 0.0102211i
\(727\) −3.67808 16.1147i −0.136412 0.597662i −0.996206 0.0870208i \(-0.972265\pi\)
0.859794 0.510641i \(-0.170592\pi\)
\(728\) 4.41492 + 7.06194i 0.163628 + 0.261733i
\(729\) −7.81342 + 34.2328i −0.289386 + 1.26788i
\(730\) −7.87421 + 36.0625i −0.291438 + 1.33473i
\(731\) −8.83017 3.46559i −0.326596 0.128179i
\(732\) −21.8508 + 28.4853i −0.807629 + 1.05285i
\(733\) 17.3068 + 25.3845i 0.639242 + 0.937596i 0.999988 + 0.00493206i \(0.00156993\pi\)
−0.360745 + 0.932664i \(0.617478\pi\)
\(734\) −29.7748 + 2.51371i −1.09901 + 0.0927828i
\(735\) −3.25529 + 53.2117i −0.120073 + 1.96274i
\(736\) 36.6287 16.4067i 1.35015 0.604758i
\(737\) −12.4416 + 8.48255i −0.458293 + 0.312459i
\(738\) −6.28092 + 6.89849i −0.231204 + 0.253937i
\(739\) 34.6686 + 13.6064i 1.27531 + 0.500521i 0.903818 0.427917i \(-0.140752\pi\)
0.371488 + 0.928438i \(0.378848\pi\)
\(740\) 57.7968 + 7.60034i 2.12465 + 0.279394i
\(741\) −1.25447 0.286324i −0.0460840 0.0105184i
\(742\) −22.3238 20.0474i −0.819534 0.735964i
\(743\) −4.48591 19.6541i −0.164572 0.721038i −0.988106 0.153771i \(-0.950858\pi\)
0.823534 0.567266i \(-0.191999\pi\)
\(744\) 70.2475 12.6286i 2.57540 0.462987i
\(745\) −28.4500 + 8.77567i −1.04233 + 0.321516i
\(746\) 20.4874 3.28573i 0.750096 0.120299i
\(747\) 7.67920 3.01386i 0.280967 0.110271i
\(748\) −2.65681 + 9.22717i −0.0971427 + 0.337379i
\(749\) 1.59406 + 3.25291i 0.0582456 + 0.118859i
\(750\) −9.97708 + 5.88633i −0.364312 + 0.214938i
\(751\) 21.9514 + 20.3679i 0.801018 + 0.743236i 0.970189 0.242351i \(-0.0779186\pi\)
−0.169171 + 0.985587i \(0.554109\pi\)
\(752\) 13.4665 2.55216i 0.491073 0.0930677i
\(753\) −13.4168 23.2387i −0.488937 0.846864i
\(754\) 5.89180 12.5353i 0.214567 0.456509i
\(755\) −29.8941 23.8398i −1.08796 0.867618i
\(756\) −3.64905 + 5.65933i −0.132715 + 0.205828i
\(757\) −33.0262 + 26.3375i −1.20036 + 0.957253i −0.999749 0.0224180i \(-0.992864\pi\)
−0.200609 + 0.979671i \(0.564292\pi\)
\(758\) −8.60274 36.1186i −0.312466 1.31189i
\(759\) 25.4265 + 17.3355i 0.922923 + 0.629238i
\(760\) 3.60526 + 1.29859i 0.130777 + 0.0471047i
\(761\) 10.5215 1.58586i 0.381403 0.0574873i 0.0444573 0.999011i \(-0.485844\pi\)
0.336946 + 0.941524i \(0.390606\pi\)
\(762\) 47.5475 44.9589i 1.72246 1.62869i
\(763\) −16.9569 24.5088i −0.613881 0.887279i
\(764\) 10.5776 19.1455i 0.382684 0.692659i
\(765\) −25.5459 14.7489i −0.923612 0.533248i
\(766\) 7.60052 + 10.9253i 0.274618 + 0.394745i
\(767\) −11.7550 1.77177i −0.424447 0.0639751i
\(768\) 3.02397 40.6773i 0.109118 1.46782i
\(769\) 31.8710 15.3483i 1.14930 0.553473i 0.240475 0.970655i \(-0.422697\pi\)
0.908823 + 0.417183i \(0.136983\pi\)
\(770\) 10.4559 15.8853i 0.376803 0.572467i
\(771\) 9.36278 19.4420i