Properties

Label 138.2.f.a.17.4
Level $138$
Weight $2$
Character 138.17
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 17.4
Character \(\chi\) \(=\) 138.17
Dual form 138.2.f.a.65.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.909632 - 0.415415i) q^{2} +(1.47913 + 0.901205i) q^{3} +(0.654861 + 0.755750i) q^{4} +(1.71394 - 1.10148i) q^{5} +(-0.971091 - 1.43422i) q^{6} +(-1.65113 - 0.237396i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(1.37566 + 2.66600i) q^{9} +O(q^{10})\) \(q+(-0.909632 - 0.415415i) q^{2} +(1.47913 + 0.901205i) q^{3} +(0.654861 + 0.755750i) q^{4} +(1.71394 - 1.10148i) q^{5} +(-0.971091 - 1.43422i) q^{6} +(-1.65113 - 0.237396i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(1.37566 + 2.66600i) q^{9} +(-2.01663 + 0.289948i) q^{10} +(1.59577 + 3.49424i) q^{11} +(0.287540 + 1.70802i) q^{12} +(-0.593583 - 4.12846i) q^{13} +(1.40330 + 0.901847i) q^{14} +(3.52781 - 0.0846264i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(0.576959 - 0.665847i) q^{17} +(-0.143848 - 2.99655i) q^{18} +(0.333530 - 0.289005i) q^{19} +(1.95484 + 0.573993i) q^{20} +(-2.22829 - 1.83915i) q^{21} -3.84138i q^{22} +(-3.17170 - 3.59726i) q^{23} +(0.447980 - 1.67311i) q^{24} +(-0.352744 + 0.772401i) q^{25} +(-1.17508 + 4.00196i) q^{26} +(-0.367831 + 5.18312i) q^{27} +(-0.901847 - 1.40330i) q^{28} +(-1.29303 - 1.12042i) q^{29} +(-3.24416 - 1.38853i) q^{30} +(-9.25241 + 2.71675i) q^{31} +(0.540641 - 0.841254i) q^{32} +(-0.788678 + 6.60656i) q^{33} +(-0.801424 + 0.365998i) q^{34} +(-3.09143 + 1.41181i) q^{35} +(-1.11396 + 2.78551i) q^{36} +(-1.72474 + 2.68374i) q^{37} +(-0.423447 + 0.124335i) q^{38} +(2.84260 - 6.64147i) q^{39} +(-1.53974 - 1.33419i) q^{40} +(-3.75293 - 5.83967i) q^{41} +(1.26292 + 2.59861i) q^{42} +(2.21377 - 7.53939i) q^{43} +(-1.59577 + 3.49424i) q^{44} +(5.29436 + 3.05410i) q^{45} +(1.39073 + 4.58976i) q^{46} +10.0192i q^{47} +(-1.10253 + 1.33582i) q^{48} +(-4.04658 - 1.18818i) q^{49} +(0.641734 - 0.556065i) q^{50} +(1.45346 - 0.464916i) q^{51} +(2.73137 - 3.15217i) q^{52} +(1.97228 - 13.7175i) q^{53} +(2.48774 - 4.56193i) q^{54} +(6.58390 + 4.23122i) q^{55} +(0.237396 + 1.65113i) q^{56} +(0.753787 - 0.126898i) q^{57} +(0.710743 + 1.55631i) q^{58} +(-9.07876 + 1.30533i) q^{59} +(2.37418 + 2.61072i) q^{60} +(0.253015 + 0.861690i) q^{61} +(9.54487 + 1.37234i) q^{62} +(-1.63849 - 4.72849i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-5.56480 - 6.42212i) q^{65} +(3.46187 - 5.68191i) q^{66} +(11.4487 + 5.22846i) q^{67} +0.881042 q^{68} +(-1.44950 - 8.17918i) q^{69} +3.39855 q^{70} +(10.8767 + 4.96722i) q^{71} +(2.17044 - 2.07104i) q^{72} +(5.44903 + 6.28852i) q^{73} +(2.68374 - 1.72474i) q^{74} +(-1.21785 + 0.824588i) q^{75} +(0.436831 + 0.0628068i) q^{76} +(-1.80530 - 6.14827i) q^{77} +(-5.34469 + 4.86044i) q^{78} +(9.67669 - 1.39130i) q^{79} +(0.846353 + 1.85325i) q^{80} +(-5.21512 + 7.33502i) q^{81} +(0.987897 + 6.87098i) q^{82} +(7.04095 + 4.52494i) q^{83} +(-0.0692884 - 2.88842i) q^{84} +(0.255456 - 1.77673i) q^{85} +(-5.14569 + 5.93844i) q^{86} +(-0.902836 - 2.82253i) q^{87} +(2.90312 - 2.51557i) q^{88} +(4.94463 + 1.45187i) q^{89} +(-3.54720 - 4.97747i) q^{90} +6.95753i q^{91} +(0.641606 - 4.75272i) q^{92} +(-16.1339 - 4.31988i) q^{93} +(4.16211 - 9.11374i) q^{94} +(0.253316 - 0.862716i) q^{95} +(1.55782 - 0.757097i) q^{96} +(-5.81077 - 9.04174i) q^{97} +(3.18731 + 2.76182i) q^{98} +(-7.12042 + 9.06120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.909632 0.415415i −0.643207 0.293743i
\(3\) 1.47913 + 0.901205i 0.853977 + 0.520311i
\(4\) 0.654861 + 0.755750i 0.327430 + 0.377875i
\(5\) 1.71394 1.10148i 0.766498 0.492599i −0.0980295 0.995184i \(-0.531254\pi\)
0.864528 + 0.502585i \(0.167618\pi\)
\(6\) −0.971091 1.43422i −0.396446 0.585517i
\(7\) −1.65113 0.237396i −0.624068 0.0897274i −0.176976 0.984215i \(-0.556631\pi\)
−0.447092 + 0.894488i \(0.647540\pi\)
\(8\) −0.281733 0.959493i −0.0996075 0.339232i
\(9\) 1.37566 + 2.66600i 0.458553 + 0.888667i
\(10\) −2.01663 + 0.289948i −0.637714 + 0.0916895i
\(11\) 1.59577 + 3.49424i 0.481142 + 1.05355i 0.982148 + 0.188110i \(0.0602361\pi\)
−0.501006 + 0.865444i \(0.667037\pi\)
\(12\) 0.287540 + 1.70802i 0.0830057 + 0.493062i
\(13\) −0.593583 4.12846i −0.164630 1.14503i −0.889764 0.456421i \(-0.849131\pi\)
0.725134 0.688608i \(-0.241778\pi\)
\(14\) 1.40330 + 0.901847i 0.375048 + 0.241029i
\(15\) 3.52781 0.0846264i 0.910876 0.0218505i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) 0.576959 0.665847i 0.139933 0.161492i −0.681457 0.731858i \(-0.738653\pi\)
0.821390 + 0.570367i \(0.193199\pi\)
\(18\) −0.143848 2.99655i −0.0339052 0.706293i
\(19\) 0.333530 0.289005i 0.0765170 0.0663024i −0.615763 0.787932i \(-0.711152\pi\)
0.692280 + 0.721629i \(0.256607\pi\)
\(20\) 1.95484 + 0.573993i 0.437115 + 0.128349i
\(21\) −2.22829 1.83915i −0.486253 0.401334i
\(22\) 3.84138i 0.818985i
\(23\) −3.17170 3.59726i −0.661346 0.750081i
\(24\) 0.447980 1.67311i 0.0914436 0.341523i
\(25\) −0.352744 + 0.772401i −0.0705487 + 0.154480i
\(26\) −1.17508 + 4.00196i −0.230453 + 0.784849i
\(27\) −0.367831 + 5.18312i −0.0707890 + 0.997491i
\(28\) −0.901847 1.40330i −0.170433 0.265199i
\(29\) −1.29303 1.12042i −0.240110 0.208056i 0.526490 0.850181i \(-0.323508\pi\)
−0.766600 + 0.642125i \(0.778053\pi\)
\(30\) −3.24416 1.38853i −0.592300 0.253509i
\(31\) −9.25241 + 2.71675i −1.66178 + 0.487943i −0.971785 0.235869i \(-0.924206\pi\)
−0.689997 + 0.723812i \(0.742388\pi\)
\(32\) 0.540641 0.841254i 0.0955727 0.148714i
\(33\) −0.788678 + 6.60656i −0.137291 + 1.15005i
\(34\) −0.801424 + 0.365998i −0.137443 + 0.0627681i
\(35\) −3.09143 + 1.41181i −0.522547 + 0.238639i
\(36\) −1.11396 + 2.78551i −0.185661 + 0.464252i
\(37\) −1.72474 + 2.68374i −0.283545 + 0.441205i −0.953587 0.301119i \(-0.902640\pi\)
0.670042 + 0.742324i \(0.266276\pi\)
\(38\) −0.423447 + 0.124335i −0.0686921 + 0.0201698i
\(39\) 2.84260 6.64147i 0.455180 1.06349i
\(40\) −1.53974 1.33419i −0.243454 0.210954i
\(41\) −3.75293 5.83967i −0.586109 0.912004i −0.999999 0.00167639i \(-0.999466\pi\)
0.413890 0.910327i \(-0.364170\pi\)
\(42\) 1.26292 + 2.59861i 0.194873 + 0.400975i
\(43\) 2.21377 7.53939i 0.337596 1.14975i −0.599413 0.800440i \(-0.704599\pi\)
0.937009 0.349306i \(-0.113583\pi\)
\(44\) −1.59577 + 3.49424i −0.240571 + 0.526777i
\(45\) 5.29436 + 3.05410i 0.789236 + 0.455279i
\(46\) 1.39073 + 4.58976i 0.205051 + 0.676723i
\(47\) 10.0192i 1.46144i 0.682675 + 0.730722i \(0.260816\pi\)
−0.682675 + 0.730722i \(0.739184\pi\)
\(48\) −1.10253 + 1.33582i −0.159137 + 0.192809i
\(49\) −4.04658 1.18818i −0.578083 0.169741i
\(50\) 0.641734 0.556065i 0.0907548 0.0786395i
\(51\) 1.45346 0.464916i 0.203526 0.0651013i
\(52\) 2.73137 3.15217i 0.378772 0.437127i
\(53\) 1.97228 13.7175i 0.270914 1.88425i −0.168102 0.985770i \(-0.553764\pi\)
0.439016 0.898479i \(-0.355327\pi\)
\(54\) 2.48774 4.56193i 0.338538 0.620800i
\(55\) 6.58390 + 4.23122i 0.887773 + 0.570537i
\(56\) 0.237396 + 1.65113i 0.0317234 + 0.220641i
\(57\) 0.753787 0.126898i 0.0998416 0.0168081i
\(58\) 0.710743 + 1.55631i 0.0933251 + 0.204354i
\(59\) −9.07876 + 1.30533i −1.18195 + 0.169939i −0.705142 0.709066i \(-0.749117\pi\)
−0.476812 + 0.879005i \(0.658208\pi\)
\(60\) 2.37418 + 2.61072i 0.306505 + 0.337043i
\(61\) 0.253015 + 0.861690i 0.0323953 + 0.110328i 0.974104 0.226102i \(-0.0725984\pi\)
−0.941708 + 0.336431i \(0.890780\pi\)
\(62\) 9.54487 + 1.37234i 1.21220 + 0.174288i
\(63\) −1.63849 4.72849i −0.206431 0.595733i
\(64\) −0.841254 + 0.540641i −0.105157 + 0.0675801i
\(65\) −5.56480 6.42212i −0.690228 0.796566i
\(66\) 3.46187 5.68191i 0.426127 0.699394i
\(67\) 11.4487 + 5.22846i 1.39868 + 0.638758i 0.964986 0.262300i \(-0.0844811\pi\)
0.433698 + 0.901058i \(0.357208\pi\)
\(68\) 0.881042 0.106842
\(69\) −1.44950 8.17918i −0.174499 0.984657i
\(70\) 3.39855 0.406204
\(71\) 10.8767 + 4.96722i 1.29083 + 0.589501i 0.938145 0.346242i \(-0.112542\pi\)
0.352682 + 0.935743i \(0.385270\pi\)
\(72\) 2.17044 2.07104i 0.255789 0.244074i
\(73\) 5.44903 + 6.28852i 0.637761 + 0.736016i 0.978977 0.203969i \(-0.0653843\pi\)
−0.341216 + 0.939985i \(0.610839\pi\)
\(74\) 2.68374 1.72474i 0.311979 0.200497i
\(75\) −1.21785 + 0.824588i −0.140625 + 0.0952152i
\(76\) 0.436831 + 0.0628068i 0.0501080 + 0.00720444i
\(77\) −1.80530 6.14827i −0.205732 0.700661i
\(78\) −5.34469 + 4.86044i −0.605167 + 0.550336i
\(79\) 9.67669 1.39130i 1.08871 0.156533i 0.425495 0.904961i \(-0.360100\pi\)
0.663217 + 0.748427i \(0.269191\pi\)
\(80\) 0.846353 + 1.85325i 0.0946251 + 0.207200i
\(81\) −5.21512 + 7.33502i −0.579458 + 0.815002i
\(82\) 0.987897 + 6.87098i 0.109095 + 0.758772i
\(83\) 7.04095 + 4.52494i 0.772845 + 0.496677i 0.866652 0.498913i \(-0.166267\pi\)
−0.0938073 + 0.995590i \(0.529904\pi\)
\(84\) −0.0692884 2.88842i −0.00755999 0.315152i
\(85\) 0.255456 1.77673i 0.0277081 0.192714i
\(86\) −5.14569 + 5.93844i −0.554874 + 0.640359i
\(87\) −0.902836 2.82253i −0.0967942 0.302607i
\(88\) 2.90312 2.51557i 0.309474 0.268161i
\(89\) 4.94463 + 1.45187i 0.524130 + 0.153898i 0.533085 0.846061i \(-0.321032\pi\)
−0.00895542 + 0.999960i \(0.502851\pi\)
\(90\) −3.54720 4.97747i −0.373907 0.524671i
\(91\) 6.95753i 0.729347i
\(92\) 0.641606 4.75272i 0.0668920 0.495505i
\(93\) −16.1339 4.31988i −1.67301 0.447951i
\(94\) 4.16211 9.11374i 0.429289 0.940011i
\(95\) 0.253316 0.862716i 0.0259897 0.0885128i
\(96\) 1.55782 0.757097i 0.158994 0.0772708i
\(97\) −5.81077 9.04174i −0.589994 0.918049i −0.999982 0.00595827i \(-0.998103\pi\)
0.409988 0.912091i \(-0.365533\pi\)
\(98\) 3.18731 + 2.76182i 0.321967 + 0.278986i
\(99\) −7.12042 + 9.06120i −0.715629 + 0.910685i
\(100\) −0.814739 + 0.239229i −0.0814739 + 0.0239229i
\(101\) −0.957445 + 1.48981i −0.0952693 + 0.148242i −0.885617 0.464417i \(-0.846264\pi\)
0.790347 + 0.612659i \(0.209900\pi\)
\(102\) −1.51525 0.180888i −0.150032 0.0179106i
\(103\) −0.391193 + 0.178652i −0.0385454 + 0.0176031i −0.434594 0.900626i \(-0.643108\pi\)
0.396049 + 0.918229i \(0.370381\pi\)
\(104\) −3.79400 + 1.73266i −0.372032 + 0.169901i
\(105\) −5.84495 0.697760i −0.570409 0.0680944i
\(106\) −7.49252 + 11.6586i −0.727738 + 1.13238i
\(107\) −17.5447 + 5.15160i −1.69611 + 0.498024i −0.979838 0.199793i \(-0.935973\pi\)
−0.716276 + 0.697817i \(0.754155\pi\)
\(108\) −4.15802 + 3.11623i −0.400105 + 0.299860i
\(109\) 7.69835 + 6.67066i 0.737368 + 0.638933i 0.940334 0.340252i \(-0.110513\pi\)
−0.202966 + 0.979186i \(0.565058\pi\)
\(110\) −4.23122 6.58390i −0.403431 0.627750i
\(111\) −4.96971 + 2.41527i −0.471704 + 0.229247i
\(112\) 0.469960 1.60054i 0.0444071 0.151237i
\(113\) 1.39156 3.04709i 0.130907 0.286646i −0.832816 0.553549i \(-0.813273\pi\)
0.963723 + 0.266903i \(0.0860003\pi\)
\(114\) −0.738385 0.197704i −0.0691560 0.0185167i
\(115\) −9.39844 2.67192i −0.876409 0.249158i
\(116\) 1.71092i 0.158855i
\(117\) 10.1899 7.26185i 0.942057 0.671358i
\(118\) 8.80058 + 2.58408i 0.810159 + 0.237884i
\(119\) −1.11070 + 0.962430i −0.101818 + 0.0882258i
\(120\) −1.07510 3.36107i −0.0981425 0.306822i
\(121\) −2.45979 + 2.83874i −0.223617 + 0.258068i
\(122\) 0.127808 0.888927i 0.0115712 0.0804797i
\(123\) −0.288336 12.0198i −0.0259983 1.08379i
\(124\) −8.11223 5.21341i −0.728499 0.468178i
\(125\) 1.69594 + 11.7955i 0.151690 + 1.05503i
\(126\) −0.473859 + 4.98184i −0.0422147 + 0.443817i
\(127\) −3.66827 8.03239i −0.325506 0.712759i 0.674160 0.738585i \(-0.264506\pi\)
−0.999666 + 0.0258261i \(0.991778\pi\)
\(128\) 0.989821 0.142315i 0.0874887 0.0125790i
\(129\) 10.0690 9.15670i 0.886525 0.806202i
\(130\) 2.39407 + 8.15346i 0.209974 + 0.715106i
\(131\) 14.6796 + 2.11061i 1.28256 + 0.184404i 0.749689 0.661791i \(-0.230203\pi\)
0.532873 + 0.846195i \(0.321112\pi\)
\(132\) −5.50938 + 3.73033i −0.479530 + 0.324684i
\(133\) −0.619309 + 0.398006i −0.0537009 + 0.0345115i
\(134\) −8.24215 9.51195i −0.712013 0.821707i
\(135\) 5.07868 + 9.28872i 0.437103 + 0.799446i
\(136\) −0.801424 0.365998i −0.0687215 0.0313841i
\(137\) 18.3814 1.57043 0.785213 0.619225i \(-0.212553\pi\)
0.785213 + 0.619225i \(0.212553\pi\)
\(138\) −2.07925 + 8.04218i −0.176997 + 0.684596i
\(139\) −7.58116 −0.643026 −0.321513 0.946905i \(-0.604191\pi\)
−0.321513 + 0.946905i \(0.604191\pi\)
\(140\) −3.09143 1.41181i −0.261273 0.119320i
\(141\) −9.02931 + 14.8196i −0.760405 + 1.24804i
\(142\) −7.83034 9.03669i −0.657107 0.758342i
\(143\) 13.4786 8.66218i 1.12714 0.724368i
\(144\) −2.83464 + 0.982246i −0.236220 + 0.0818539i
\(145\) −3.45030 0.496078i −0.286532 0.0411970i
\(146\) −2.34427 7.98385i −0.194013 0.660748i
\(147\) −4.91463 5.40428i −0.405352 0.445737i
\(148\) −3.15770 + 0.454009i −0.259561 + 0.0373193i
\(149\) 2.89272 + 6.33417i 0.236981 + 0.518915i 0.990334 0.138700i \(-0.0442924\pi\)
−0.753354 + 0.657616i \(0.771565\pi\)
\(150\) 1.45034 0.244160i 0.118420 0.0199356i
\(151\) −0.741264 5.15560i −0.0603232 0.419557i −0.997498 0.0706966i \(-0.977478\pi\)
0.937175 0.348861i \(-0.113431\pi\)
\(152\) −0.371265 0.238597i −0.0301135 0.0193528i
\(153\) 2.56885 + 0.622196i 0.207679 + 0.0503015i
\(154\) −0.911930 + 6.34261i −0.0734854 + 0.511102i
\(155\) −12.8656 + 14.8477i −1.03339 + 1.19260i
\(156\) 6.88080 2.20095i 0.550905 0.176217i
\(157\) 11.0542 9.57850i 0.882220 0.764448i −0.0906303 0.995885i \(-0.528888\pi\)
0.972850 + 0.231437i \(0.0743427\pi\)
\(158\) −9.38019 2.75427i −0.746248 0.219118i
\(159\) 15.2796 18.5126i 1.21175 1.46815i
\(160\) 2.03737i 0.161068i
\(161\) 4.38291 + 6.69249i 0.345422 + 0.527442i
\(162\) 7.79092 4.50573i 0.612112 0.354004i
\(163\) −1.34972 + 2.95548i −0.105718 + 0.231491i −0.955097 0.296293i \(-0.904250\pi\)
0.849379 + 0.527784i \(0.176977\pi\)
\(164\) 1.95568 6.66045i 0.152713 0.520093i
\(165\) 5.92526 + 12.1920i 0.461281 + 0.949144i
\(166\) −4.52494 7.04095i −0.351204 0.546484i
\(167\) −8.25427 7.15237i −0.638735 0.553467i 0.274149 0.961687i \(-0.411604\pi\)
−0.912883 + 0.408220i \(0.866149\pi\)
\(168\) −1.13686 + 2.65618i −0.0877110 + 0.204929i
\(169\) −4.21842 + 1.23864i −0.324494 + 0.0952800i
\(170\) −0.970453 + 1.51005i −0.0744303 + 0.115816i
\(171\) 1.22931 + 0.491618i 0.0940078 + 0.0375950i
\(172\) 7.14760 3.26420i 0.544999 0.248893i
\(173\) 4.16317 1.90126i 0.316520 0.144550i −0.250819 0.968034i \(-0.580700\pi\)
0.567339 + 0.823484i \(0.307973\pi\)
\(174\) −0.351272 + 2.94251i −0.0266298 + 0.223071i
\(175\) 0.765790 1.19159i 0.0578883 0.0900759i
\(176\) −3.68578 + 1.08224i −0.277826 + 0.0815770i
\(177\) −14.6050 6.25107i −1.09778 0.469859i
\(178\) −3.89466 3.37475i −0.291917 0.252948i
\(179\) 3.25606 + 5.06653i 0.243370 + 0.378690i 0.941353 0.337424i \(-0.109555\pi\)
−0.697983 + 0.716114i \(0.745919\pi\)
\(180\) 1.15893 + 6.00122i 0.0863815 + 0.447305i
\(181\) −5.38170 + 18.3284i −0.400019 + 1.36234i 0.475738 + 0.879587i \(0.342181\pi\)
−0.875757 + 0.482752i \(0.839637\pi\)
\(182\) 2.89026 6.32879i 0.214241 0.469121i
\(183\) −0.402317 + 1.50257i −0.0297401 + 0.111073i
\(184\) −2.55798 + 4.05669i −0.188576 + 0.299063i
\(185\) 6.49955i 0.477856i
\(186\) 12.8814 + 10.6318i 0.944507 + 0.779558i
\(187\) 3.24732 + 0.953500i 0.237468 + 0.0697268i
\(188\) −7.57197 + 6.56115i −0.552243 + 0.478521i
\(189\) 1.83779 8.47067i 0.133679 0.616151i
\(190\) −0.588810 + 0.679523i −0.0427168 + 0.0492978i
\(191\) 0.166833 1.16035i 0.0120716 0.0839601i −0.982895 0.184167i \(-0.941041\pi\)
0.994967 + 0.100207i \(0.0319504\pi\)
\(192\) −1.73155 + 0.0415372i −0.124964 + 0.00299769i
\(193\) 8.67054 + 5.57222i 0.624119 + 0.401097i 0.814128 0.580685i \(-0.197215\pi\)
−0.190009 + 0.981782i \(0.560852\pi\)
\(194\) 1.52959 + 10.6385i 0.109818 + 0.763802i
\(195\) −2.44342 14.5142i −0.174977 1.03938i
\(196\) −1.75198 3.83630i −0.125141 0.274021i
\(197\) −22.8286 + 3.28226i −1.62647 + 0.233851i −0.894364 0.447339i \(-0.852372\pi\)
−0.732106 + 0.681191i \(0.761462\pi\)
\(198\) 10.2411 5.28443i 0.727805 0.375548i
\(199\) −0.330283 1.12484i −0.0234131 0.0797378i 0.946958 0.321358i \(-0.104139\pi\)
−0.970371 + 0.241620i \(0.922321\pi\)
\(200\) 0.840492 + 0.120845i 0.0594318 + 0.00854500i
\(201\) 12.2223 + 18.0512i 0.862092 + 1.27324i
\(202\) 1.48981 0.957445i 0.104823 0.0673656i
\(203\) 1.86897 + 2.15691i 0.131176 + 0.151386i
\(204\) 1.30318 + 0.793999i 0.0912406 + 0.0555910i
\(205\) −12.8646 5.87507i −0.898503 0.410333i
\(206\) 0.430056 0.0299634
\(207\) 5.22712 13.4044i 0.363310 0.931668i
\(208\) 4.17091 0.289201
\(209\) 1.54209 + 0.704249i 0.106669 + 0.0487139i
\(210\) 5.02690 + 3.06279i 0.346889 + 0.211352i
\(211\) −5.53127 6.38342i −0.380788 0.439453i 0.532709 0.846299i \(-0.321174\pi\)
−0.913497 + 0.406846i \(0.866629\pi\)
\(212\) 11.6586 7.49252i 0.800716 0.514589i
\(213\) 11.6116 + 17.1493i 0.795613 + 1.17505i
\(214\) 18.0993 + 2.60229i 1.23724 + 0.177889i
\(215\) −4.51025 15.3605i −0.307597 1.04758i
\(216\) 5.07679 1.10732i 0.345432 0.0753437i
\(217\) 15.9219 2.28922i 1.08085 0.155402i
\(218\) −4.23158 9.26586i −0.286598 0.627563i
\(219\) 2.39259 + 14.2122i 0.161676 + 0.960374i
\(220\) 1.11380 + 7.74664i 0.0750923 + 0.522278i
\(221\) −3.09139 1.98672i −0.207950 0.133641i
\(222\) 5.52395 0.132511i 0.370743 0.00889353i
\(223\) 2.52620 17.5701i 0.169167 1.17658i −0.711445 0.702742i \(-0.751959\pi\)
0.880612 0.473838i \(-0.157132\pi\)
\(224\) −1.09238 + 1.26067i −0.0729876 + 0.0842322i
\(225\) −2.54448 + 0.122146i −0.169632 + 0.00814307i
\(226\) −2.53162 + 2.19366i −0.168401 + 0.145920i
\(227\) −12.2667 3.60182i −0.814167 0.239061i −0.151965 0.988386i \(-0.548560\pi\)
−0.662203 + 0.749325i \(0.730378\pi\)
\(228\) 0.589529 + 0.486574i 0.0390425 + 0.0322241i
\(229\) 7.54315i 0.498465i −0.968444 0.249233i \(-0.919822\pi\)
0.968444 0.249233i \(-0.0801784\pi\)
\(230\) 7.43917 + 6.33472i 0.490524 + 0.417699i
\(231\) 2.87058 10.7210i 0.188870 0.705393i
\(232\) −0.710743 + 1.55631i −0.0466626 + 0.102177i
\(233\) 0.546301 1.86053i 0.0357894 0.121887i −0.939661 0.342107i \(-0.888859\pi\)
0.975450 + 0.220220i \(0.0706775\pi\)
\(234\) −12.2857 + 2.37257i −0.803144 + 0.155100i
\(235\) 11.0359 + 17.1723i 0.719905 + 1.12019i
\(236\) −6.93182 6.00646i −0.451223 0.390987i
\(237\) 15.5669 + 6.66276i 1.01118 + 0.432793i
\(238\) 1.41014 0.414054i 0.0914058 0.0268392i
\(239\) 7.38528 11.4917i 0.477714 0.743338i −0.515841 0.856684i \(-0.672521\pi\)
0.993556 + 0.113346i \(0.0361570\pi\)
\(240\) −0.418294 + 3.50394i −0.0270008 + 0.226179i
\(241\) −25.4368 + 11.6166i −1.63853 + 0.748291i −0.999777 0.0211206i \(-0.993277\pi\)
−0.638753 + 0.769412i \(0.720549\pi\)
\(242\) 3.41676 1.56038i 0.219637 0.100305i
\(243\) −14.3242 + 6.14957i −0.918898 + 0.394495i
\(244\) −0.485532 + 0.755503i −0.0310830 + 0.0483661i
\(245\) −8.24437 + 2.42077i −0.526714 + 0.154657i
\(246\) −4.73093 + 11.0534i −0.301633 + 0.704737i
\(247\) −1.39112 1.20542i −0.0885151 0.0766988i
\(248\) 5.21341 + 8.11223i 0.331052 + 0.515127i
\(249\) 6.33659 + 13.0383i 0.401565 + 0.826270i
\(250\) 3.35736 11.4341i 0.212338 0.723157i
\(251\) 2.92637 6.40786i 0.184711 0.404461i −0.794512 0.607249i \(-0.792273\pi\)
0.979223 + 0.202788i \(0.0650003\pi\)
\(252\) 2.50057 4.33479i 0.157521 0.273066i
\(253\) 7.50841 16.8231i 0.472049 1.05766i
\(254\) 8.83037i 0.554067i
\(255\) 1.97905 2.39781i 0.123933 0.150156i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) 6.19953 5.37193i 0.386716 0.335092i −0.439707 0.898141i \(-0.644918\pi\)
0.826423 + 0.563050i \(0.190372\pi\)
\(258\) −12.9629 + 4.14642i −0.807035 + 0.258145i
\(259\) 3.48487 4.02176i 0.216539 0.249900i
\(260\) 1.20935 8.41119i 0.0750005 0.521640i
\(261\) 1.20826 4.98853i 0.0747895 0.308782i
\(262\) −12.4762 8.01799i −0.770785 0.495353i
\(263\) 0.481045 + 3.34574i 0.0296625 + 0.206307i 0.999263 0.0383862i \(-0.0122217\pi\)
−0.969600 + 0.244694i \(0.921313\pi\)
\(264\) 6.56114 1.10455i 0.403810 0.0679804i
\(265\) −11.7293 25.6835i −0.720523 1.57773i
\(266\) 0.728681 0.104769i 0.0446783 0.00642377i
\(267\) 6.00532 + 6.60364i 0.367520 + 0.404136i
\(268\) 3.54592 + 12.0763i 0.216601 + 0.737676i
\(269\) 10.7339 + 1.54330i 0.654458 + 0.0940969i 0.461542 0.887118i \(-0.347296\pi\)
0.192916 + 0.981215i \(0.438205\pi\)
\(270\) −0.761054 10.5591i −0.0463163 0.642605i
\(271\) −16.0400 + 10.3083i −0.974361 + 0.626184i −0.927937 0.372738i \(-0.878419\pi\)
−0.0464247 + 0.998922i \(0.514783\pi\)
\(272\) 0.576959 + 0.665847i 0.0349833 + 0.0403729i
\(273\) −6.27016 + 10.2911i −0.379487 + 0.622846i
\(274\) −16.7203 7.63590i −1.01011 0.461301i
\(275\) −3.26185 −0.196697
\(276\) 5.23219 6.45168i 0.314941 0.388345i
\(277\) 14.5666 0.875221 0.437610 0.899165i \(-0.355825\pi\)
0.437610 + 0.899165i \(0.355825\pi\)
\(278\) 6.89607 + 3.14933i 0.413599 + 0.188884i
\(279\) −19.9710 20.9296i −1.19563 1.25302i
\(280\) 2.22558 + 2.56845i 0.133004 + 0.153494i
\(281\) 16.3467 10.5054i 0.975164 0.626700i 0.0470093 0.998894i \(-0.485031\pi\)
0.928155 + 0.372195i \(0.121395\pi\)
\(282\) 14.3697 9.72952i 0.855700 0.579384i
\(283\) −16.5357 2.37748i −0.982946 0.141326i −0.367941 0.929849i \(-0.619937\pi\)
−0.615005 + 0.788523i \(0.710846\pi\)
\(284\) 3.36875 + 11.4729i 0.199898 + 0.680792i
\(285\) 1.15217 1.04778i 0.0682488 0.0620652i
\(286\) −15.8590 + 2.28018i −0.937761 + 0.134830i
\(287\) 4.81025 + 10.5330i 0.283940 + 0.621742i
\(288\) 2.98652 + 0.284070i 0.175982 + 0.0167390i
\(289\) 2.30888 + 16.0586i 0.135817 + 0.944625i
\(290\) 2.93242 + 1.88455i 0.172198 + 0.110665i
\(291\) −0.446439 18.6106i −0.0261707 1.09097i
\(292\) −1.18419 + 8.23621i −0.0692994 + 0.481988i
\(293\) −18.4243 + 21.2628i −1.07636 + 1.24218i −0.107597 + 0.994195i \(0.534316\pi\)
−0.968762 + 0.247990i \(0.920230\pi\)
\(294\) 2.22549 + 6.95752i 0.129793 + 0.405771i
\(295\) −14.1227 + 12.2374i −0.822254 + 0.712487i
\(296\) 3.06095 + 0.898775i 0.177914 + 0.0522402i
\(297\) −18.6980 + 6.98576i −1.08497 + 0.405355i
\(298\) 6.96344i 0.403381i
\(299\) −12.9685 + 15.2295i −0.749987 + 0.880746i
\(300\) −1.42070 0.380396i −0.0820242 0.0219622i
\(301\) −5.44504 + 11.9230i −0.313847 + 0.687228i
\(302\) −1.46744 + 4.99764i −0.0844416 + 0.287582i
\(303\) −2.75881 + 1.34078i −0.158490 + 0.0770256i
\(304\) 0.238597 + 0.371265i 0.0136845 + 0.0212935i
\(305\) 1.38279 + 1.19820i 0.0791784 + 0.0686085i
\(306\) −2.07824 1.63311i −0.118805 0.0933585i
\(307\) −17.7513 + 5.21225i −1.01312 + 0.297479i −0.745829 0.666138i \(-0.767946\pi\)
−0.267290 + 0.963616i \(0.586128\pi\)
\(308\) 3.46434 5.39061i 0.197399 0.307159i
\(309\) −0.739628 0.0882954i −0.0420760 0.00502295i
\(310\) 17.8710 8.16140i 1.01500 0.463536i
\(311\) 12.7233 5.81054i 0.721473 0.329486i −0.0206158 0.999787i \(-0.506563\pi\)
0.742088 + 0.670302i \(0.233835\pi\)
\(312\) −7.17330 0.856335i −0.406108 0.0484804i
\(313\) 13.2283 20.5836i 0.747707 1.16346i −0.233847 0.972273i \(-0.575132\pi\)
0.981555 0.191182i \(-0.0612321\pi\)
\(314\) −14.0343 + 4.12084i −0.792001 + 0.232552i
\(315\) −8.01663 6.29958i −0.451686 0.354941i
\(316\) 7.38835 + 6.40205i 0.415627 + 0.360143i
\(317\) 2.45801 + 3.82475i 0.138056 + 0.214819i 0.903396 0.428806i \(-0.141066\pi\)
−0.765341 + 0.643626i \(0.777429\pi\)
\(318\) −21.5892 + 10.4923i −1.21066 + 0.588379i
\(319\) 1.85163 6.30608i 0.103671 0.353073i
\(320\) −0.846353 + 1.85325i −0.0473126 + 0.103600i
\(321\) −30.5936 8.19151i −1.70757 0.457205i
\(322\) −1.20668 7.90843i −0.0672454 0.440720i
\(323\) 0.388824i 0.0216348i
\(324\) −8.95862 + 0.862093i −0.497701 + 0.0478940i
\(325\) 3.39821 + 0.997804i 0.188499 + 0.0553482i
\(326\) 2.45550 2.12770i 0.135998 0.117843i
\(327\) 5.37525 + 16.8046i 0.297252 + 0.929295i
\(328\) −4.54580 + 5.24613i −0.251000 + 0.289669i
\(329\) 2.37851 16.5429i 0.131132 0.912040i
\(330\) −0.325082 13.5517i −0.0178952 0.745994i
\(331\) 8.10093 + 5.20615i 0.445268 + 0.286156i 0.743999 0.668181i \(-0.232927\pi\)
−0.298731 + 0.954337i \(0.596563\pi\)
\(332\) 1.19112 + 8.28440i 0.0653710 + 0.454666i
\(333\) −9.52751 0.906232i −0.522104 0.0496612i
\(334\) 4.53715 + 9.93497i 0.248262 + 0.543617i
\(335\) 25.3815 3.64931i 1.38674 0.199383i
\(336\) 2.13754 1.94387i 0.116613 0.106047i
\(337\) −0.506976 1.72660i −0.0276167 0.0940539i 0.944531 0.328421i \(-0.106516\pi\)
−0.972148 + 0.234367i \(0.924698\pi\)
\(338\) 4.35176 + 0.625689i 0.236705 + 0.0340330i
\(339\) 4.80436 3.25297i 0.260937 0.176677i
\(340\) 1.51005 0.970453i 0.0818942 0.0526302i
\(341\) −24.2577 27.9949i −1.31363 1.51601i
\(342\) −0.913996 0.957866i −0.0494232 0.0517955i
\(343\) 17.0209 + 7.77319i 0.919042 + 0.419713i
\(344\) −7.85768 −0.423658
\(345\) −11.4936 12.4220i −0.618794 0.668780i
\(346\) −4.57676 −0.246048
\(347\) −20.8305 9.51296i −1.11824 0.510683i −0.231445 0.972848i \(-0.574345\pi\)
−0.886794 + 0.462165i \(0.847073\pi\)
\(348\) 1.54189 2.53068i 0.0826541 0.135659i
\(349\) −6.13437 7.07944i −0.328365 0.378954i 0.567429 0.823422i \(-0.307938\pi\)
−0.895795 + 0.444468i \(0.853393\pi\)
\(350\) −1.19159 + 0.765790i −0.0636933 + 0.0409332i
\(351\) 21.6166 1.55804i 1.15381 0.0831618i
\(352\) 3.80228 + 0.546685i 0.202662 + 0.0291384i
\(353\) 4.81975 + 16.4146i 0.256529 + 0.873659i 0.982552 + 0.185988i \(0.0595486\pi\)
−0.726023 + 0.687671i \(0.758633\pi\)
\(354\) 10.6884 + 11.7533i 0.568084 + 0.624682i
\(355\) 24.1134 3.46698i 1.27980 0.184008i
\(356\) 2.14079 + 4.68768i 0.113462 + 0.248447i
\(357\) −2.51022 + 0.422589i −0.132855 + 0.0223658i
\(358\) −0.857105 5.96130i −0.0452994 0.315064i
\(359\) −3.84333 2.46996i −0.202843 0.130359i 0.435276 0.900297i \(-0.356651\pi\)
−0.638119 + 0.769938i \(0.720287\pi\)
\(360\) 1.43880 5.94034i 0.0758313 0.313083i
\(361\) −2.67626 + 18.6138i −0.140856 + 0.979675i
\(362\) 12.5093 14.4365i 0.657472 0.758763i
\(363\) −6.19664 + 1.98211i −0.325239 + 0.104034i
\(364\) −5.25815 + 4.55621i −0.275602 + 0.238810i
\(365\) 16.2660 + 4.77614i 0.851403 + 0.249994i
\(366\) 0.990151 1.19966i 0.0517560 0.0627072i
\(367\) 10.2975i 0.537527i −0.963206 0.268763i \(-0.913385\pi\)
0.963206 0.268763i \(-0.0866150\pi\)
\(368\) 4.01203 2.62748i 0.209141 0.136967i
\(369\) 10.4058 18.0387i 0.541705 0.939058i
\(370\) 2.70001 5.91220i 0.140367 0.307361i
\(371\) −6.51299 + 22.1812i −0.338138 + 1.15159i
\(372\) −7.30070 15.0221i −0.378524 0.778859i
\(373\) 17.5298 + 27.2770i 0.907660 + 1.41235i 0.911024 + 0.412353i \(0.135293\pi\)
−0.00336401 + 0.999994i \(0.501071\pi\)
\(374\) −2.55777 2.21632i −0.132259 0.114603i
\(375\) −8.12167 + 18.9755i −0.419401 + 0.979893i
\(376\) 9.61331 2.82272i 0.495769 0.145571i
\(377\) −3.85807 + 6.00328i −0.198701 + 0.309185i
\(378\) −5.19056 + 6.94175i −0.266973 + 0.357045i
\(379\) 3.56578 1.62844i 0.183162 0.0836472i −0.321723 0.946834i \(-0.604262\pi\)
0.504885 + 0.863186i \(0.331535\pi\)
\(380\) 0.817884 0.373515i 0.0419566 0.0191609i
\(381\) 1.81297 15.1868i 0.0928815 0.778044i
\(382\) −0.633784 + 0.986188i −0.0324272 + 0.0504578i
\(383\) −4.80812 + 1.41179i −0.245684 + 0.0721392i −0.402256 0.915527i \(-0.631774\pi\)
0.156572 + 0.987667i \(0.449956\pi\)
\(384\) 1.59233 + 0.681529i 0.0812583 + 0.0347792i
\(385\) −9.86639 8.54928i −0.502838 0.435712i
\(386\) −5.57222 8.67054i −0.283618 0.441319i
\(387\) 23.1454 4.46974i 1.17655 0.227210i
\(388\) 3.02804 10.3126i 0.153726 0.523541i
\(389\) −9.73330 + 21.3130i −0.493498 + 1.08061i 0.485030 + 0.874497i \(0.338809\pi\)
−0.978528 + 0.206113i \(0.933919\pi\)
\(390\) −3.80679 + 14.2176i −0.192764 + 0.719936i
\(391\) −4.22517 + 0.0363936i −0.213676 + 0.00184050i
\(392\) 4.21742i 0.213012i
\(393\) 19.8109 + 16.3512i 0.999330 + 0.824808i
\(394\) 22.1291 + 6.49770i 1.11485 + 0.327349i
\(395\) 15.0528 13.0433i 0.757388 0.656280i
\(396\) −11.5109 + 0.552573i −0.578444 + 0.0277678i
\(397\) −10.6167 + 12.2523i −0.532835 + 0.614925i −0.956797 0.290755i \(-0.906093\pi\)
0.423962 + 0.905680i \(0.360639\pi\)
\(398\) −0.166840 + 1.16040i −0.00836292 + 0.0581654i
\(399\) −1.27473 + 0.0305786i −0.0638161 + 0.00153084i
\(400\) −0.714338 0.459077i −0.0357169 0.0229539i
\(401\) −4.94794 34.4137i −0.247088 1.71854i −0.614874 0.788626i \(-0.710793\pi\)
0.367786 0.929911i \(-0.380116\pi\)
\(402\) −3.61901 21.4973i −0.180500 1.07219i
\(403\) 16.7081 + 36.5856i 0.832288 + 1.82246i
\(404\) −1.75292 + 0.252032i −0.0872110 + 0.0125390i
\(405\) −0.859007 + 18.3162i −0.0426844 + 0.910138i
\(406\) −0.804066 2.73840i −0.0399051 0.135904i
\(407\) −12.1299 1.74402i −0.601258 0.0864478i
\(408\) −0.855572 1.26361i −0.0423571 0.0625578i
\(409\) 17.5509 11.2793i 0.867837 0.557725i −0.0292535 0.999572i \(-0.509313\pi\)
0.897090 + 0.441847i \(0.145677\pi\)
\(410\) 9.26147 + 10.6883i 0.457391 + 0.527858i
\(411\) 27.1885 + 16.5654i 1.34111 + 0.817110i
\(412\) −0.391193 0.178652i −0.0192727 0.00880154i
\(413\) 15.3001 0.752868
\(414\) −10.3231 + 10.0216i −0.507354 + 0.492536i
\(415\) 17.0519 0.837046
\(416\) −3.79400 1.73266i −0.186016 0.0849506i
\(417\) −11.2135 6.83218i −0.549129 0.334573i
\(418\) −1.11018 1.28121i −0.0543006 0.0626663i
\(419\) 10.5508 6.78060i 0.515441 0.331254i −0.256925 0.966431i \(-0.582709\pi\)
0.772366 + 0.635177i \(0.219073\pi\)
\(420\) −3.30030 4.87426i −0.161038 0.237839i
\(421\) 15.0207 + 2.15964i 0.732062 + 0.105255i 0.498258 0.867029i \(-0.333973\pi\)
0.233804 + 0.972284i \(0.424882\pi\)
\(422\) 2.37965 + 8.10434i 0.115839 + 0.394513i
\(423\) −26.7111 + 13.7830i −1.29874 + 0.670150i
\(424\) −13.7175 + 1.97228i −0.666182 + 0.0957826i
\(425\) 0.310782 + 0.680517i 0.0150751 + 0.0330099i
\(426\) −3.43819 20.4232i −0.166581 0.989507i
\(427\) −0.213198 1.48283i −0.0103174 0.0717590i
\(428\) −15.3827 9.88585i −0.743550 0.477850i
\(429\) 27.7430 0.665511i 1.33945 0.0321312i
\(430\) −2.27832 + 15.8460i −0.109870 + 0.764164i
\(431\) 11.3203 13.0644i 0.545282 0.629289i −0.414495 0.910051i \(-0.636042\pi\)
0.959777 + 0.280763i \(0.0905874\pi\)
\(432\) −5.07801 1.10172i −0.244316 0.0530066i
\(433\) 22.9390 19.8767i 1.10238 0.955215i 0.103156 0.994665i \(-0.467106\pi\)
0.999222 + 0.0394497i \(0.0125605\pi\)
\(434\) −15.4340 4.53184i −0.740856 0.217535i
\(435\) −4.65638 3.84319i −0.223256 0.184267i
\(436\) 10.1864i 0.487839i
\(437\) −2.09749 0.283155i −0.100336 0.0135452i
\(438\) 3.72760 13.9218i 0.178112 0.665211i
\(439\) −2.52149 + 5.52130i −0.120344 + 0.263517i −0.960211 0.279275i \(-0.909906\pi\)
0.839867 + 0.542793i \(0.182633\pi\)
\(440\) 2.20492 7.50928i 0.105116 0.357991i
\(441\) −2.39902 12.4227i −0.114239 0.591559i
\(442\) 1.98672 + 3.09139i 0.0944986 + 0.147043i
\(443\) −19.8198 17.1740i −0.941668 0.815960i 0.0414113 0.999142i \(-0.486815\pi\)
−0.983079 + 0.183183i \(0.941360\pi\)
\(444\) −5.07981 2.17420i −0.241077 0.103183i
\(445\) 10.0740 2.95800i 0.477555 0.140223i
\(446\) −9.59679 + 14.9329i −0.454421 + 0.707093i
\(447\) −1.42967 + 11.9760i −0.0676212 + 0.566446i
\(448\) 1.51736 0.692957i 0.0716887 0.0327391i
\(449\) −4.21621 + 1.92548i −0.198975 + 0.0908689i −0.512411 0.858741i \(-0.671247\pi\)
0.313435 + 0.949610i \(0.398520\pi\)
\(450\) 2.36528 + 0.945906i 0.111500 + 0.0445904i
\(451\) 14.4164 22.4324i 0.678843 1.05630i
\(452\) 3.21412 0.943750i 0.151179 0.0443903i
\(453\) 3.54983 8.29385i 0.166785 0.389679i
\(454\) 9.66190 + 8.37209i 0.453456 + 0.392922i
\(455\) 7.66361 + 11.9248i 0.359275 + 0.559043i
\(456\) −0.334124 0.687502i −0.0156468 0.0321952i
\(457\) −3.96660 + 13.5090i −0.185550 + 0.631925i 0.813202 + 0.581981i \(0.197722\pi\)
−0.998752 + 0.0499434i \(0.984096\pi\)
\(458\) −3.13354 + 6.86149i −0.146421 + 0.320616i
\(459\) 3.23894 + 3.23537i 0.151181 + 0.151014i
\(460\) −4.13537 8.85260i −0.192813 0.412755i
\(461\) 16.2737i 0.757941i 0.925409 + 0.378971i \(0.123722\pi\)
−0.925409 + 0.378971i \(0.876278\pi\)
\(462\) −7.06486 + 8.55972i −0.328687 + 0.398234i
\(463\) −11.1875 3.28494i −0.519926 0.152664i 0.0112318 0.999937i \(-0.496425\pi\)
−0.531158 + 0.847273i \(0.678243\pi\)
\(464\) 1.29303 1.12042i 0.0600274 0.0520140i
\(465\) −32.4108 + 10.3672i −1.50302 + 0.480767i
\(466\) −1.26982 + 1.46546i −0.0588235 + 0.0678859i
\(467\) 1.43982 10.0142i 0.0666271 0.463402i −0.929007 0.370062i \(-0.879337\pi\)
0.995634 0.0933399i \(-0.0297543\pi\)
\(468\) 12.1611 + 2.94552i 0.562147 + 0.136157i
\(469\) −17.6621 11.3507i −0.815560 0.524129i
\(470\) −2.90503 20.2049i −0.133999 0.931984i
\(471\) 24.9828 4.20578i 1.15115 0.193792i
\(472\) 3.81024 + 8.34325i 0.175380 + 0.384029i
\(473\) 29.8771 4.29568i 1.37375 0.197516i
\(474\) −11.3924 12.5274i −0.523269 0.575403i
\(475\) 0.105577 + 0.359563i 0.00484422 + 0.0164979i
\(476\) −1.45471 0.209156i −0.0666766 0.00958665i
\(477\) 39.2842 13.6126i 1.79870 0.623276i
\(478\) −11.4917 + 7.38528i −0.525619 + 0.337795i
\(479\) 3.34991 + 3.86601i 0.153062 + 0.176642i 0.827102 0.562052i \(-0.189988\pi\)
−0.674040 + 0.738695i \(0.735443\pi\)
\(480\) 1.83608 3.01353i 0.0838054 0.137548i
\(481\) 12.1035 + 5.52748i 0.551872 + 0.252031i
\(482\) 27.9639 1.27372
\(483\) 0.451597 + 13.8490i 0.0205484 + 0.630150i
\(484\) −3.75620 −0.170736
\(485\) −19.9187 9.09654i −0.904459 0.413053i
\(486\) 15.5844 + 0.356644i 0.706922 + 0.0161777i
\(487\) 4.05223 + 4.67652i 0.183624 + 0.211913i 0.840097 0.542436i \(-0.182498\pi\)
−0.656473 + 0.754349i \(0.727952\pi\)
\(488\) 0.755503 0.485532i 0.0342000 0.0219790i
\(489\) −4.65991 + 3.15517i −0.210728 + 0.142682i
\(490\) 8.50497 + 1.22283i 0.384215 + 0.0552418i
\(491\) 11.1713 + 38.0460i 0.504155 + 1.71699i 0.680575 + 0.732678i \(0.261730\pi\)
−0.176421 + 0.984315i \(0.556452\pi\)
\(492\) 8.89514 8.08920i 0.401024 0.364690i
\(493\) −1.49205 + 0.214525i −0.0671986 + 0.00966170i
\(494\) 0.764663 + 1.67438i 0.0344038 + 0.0753338i
\(495\) −2.22322 + 23.3734i −0.0999262 + 1.05056i
\(496\) −1.37234 9.54487i −0.0616201 0.428577i
\(497\) −16.7796 10.7836i −0.752669 0.483711i
\(498\) −0.347649 14.4924i −0.0155785 0.649420i
\(499\) 3.82362 26.5938i 0.171169 1.19050i −0.705252 0.708957i \(-0.749166\pi\)
0.876420 0.481547i \(-0.159925\pi\)
\(500\) −7.80387 + 9.00614i −0.349000 + 0.402767i
\(501\) −5.76341 18.0181i −0.257490 0.804989i
\(502\) −5.32385 + 4.61314i −0.237615 + 0.205894i
\(503\) −34.7185 10.1943i −1.54802 0.454541i −0.607514 0.794309i \(-0.707833\pi\)
−0.940509 + 0.339768i \(0.889651\pi\)
\(504\) −4.07533 + 2.90429i −0.181530 + 0.129367i
\(505\) 3.60806i 0.160557i
\(506\) −13.8185 + 12.1837i −0.614305 + 0.541632i
\(507\) −7.35587 1.96955i −0.326686 0.0874708i
\(508\) 3.66827 8.03239i 0.162753 0.356379i
\(509\) 1.79366 6.10863i 0.0795024 0.270760i −0.910143 0.414294i \(-0.864028\pi\)
0.989645 + 0.143534i \(0.0458466\pi\)
\(510\) −2.79630 + 1.35899i −0.123822 + 0.0601772i
\(511\) −7.50418 11.6767i −0.331965 0.516548i
\(512\) 0.755750 + 0.654861i 0.0333997 + 0.0289410i
\(513\) 1.37527 + 1.83503i 0.0607195 + 0.0810185i
\(514\) −7.87087 + 2.31110i −0.347169 + 0.101938i
\(515\) −0.473700 + 0.737092i −0.0208737 + 0.0324801i
\(516\) 13.5140 + 1.61327i 0.594919 + 0.0710203i
\(517\) −35.0094 + 15.9882i −1.53971 + 0.703162i
\(518\) −4.84065 + 2.21065i −0.212686 + 0.0971304i
\(519\) 7.87130 + 0.939661i 0.345512 + 0.0412465i
\(520\) −4.59419 + 7.14870i −0.201469 + 0.313491i
\(521\) −8.35959 + 2.45460i −0.366240 + 0.107538i −0.459674 0.888088i \(-0.652034\pi\)
0.0934339 + 0.995625i \(0.470216\pi\)
\(522\) −3.17138 + 4.03580i −0.138808 + 0.176642i
\(523\) −33.7641 29.2567i −1.47640 1.27931i −0.878506 0.477732i \(-0.841459\pi\)
−0.597894 0.801575i \(-0.703996\pi\)
\(524\) 8.01799 + 12.4762i 0.350268 + 0.545027i
\(525\) 2.20657 1.07239i 0.0963028 0.0468029i
\(526\) 0.952298 3.24323i 0.0415222 0.141412i
\(527\) −3.52932 + 7.72814i −0.153740 + 0.336643i
\(528\) −6.42707 1.72086i −0.279702 0.0748909i
\(529\) −2.88060 + 22.8189i −0.125243 + 0.992126i
\(530\) 28.2350i 1.22645i
\(531\) −15.9693 22.4083i −0.693008 0.972437i
\(532\) −0.706354 0.207404i −0.0306243 0.00899212i
\(533\) −21.8812 + 18.9601i −0.947779 + 0.821255i
\(534\) −2.71938 8.50158i −0.117679 0.367900i
\(535\) −24.3963 + 28.1548i −1.05474 + 1.21724i
\(536\) 1.79119 12.4580i 0.0773676 0.538104i
\(537\) 0.250162 + 10.4284i 0.0107953 + 0.450021i
\(538\) −9.12280 5.86287i −0.393312 0.252766i
\(539\) −2.30560 16.0358i −0.0993092 0.690711i
\(540\) −3.69412 + 9.92103i −0.158970 + 0.426933i
\(541\) −17.2729 37.8224i −0.742620 1.62611i −0.779197 0.626779i \(-0.784373\pi\)
0.0365772 0.999331i \(-0.488355\pi\)
\(542\) 18.8727 2.71349i 0.810653 0.116554i
\(543\) −24.4779 + 22.2601i −1.05045 + 0.955272i
\(544\) −0.248218 0.845353i −0.0106423 0.0362442i
\(545\) 20.5422 + 2.95352i 0.879929 + 0.126515i
\(546\) 9.97862 6.75640i 0.427045 0.289147i
\(547\) −16.5886 + 10.6608i −0.709277 + 0.455825i −0.844892 0.534937i \(-0.820335\pi\)
0.135615 + 0.990762i \(0.456699\pi\)
\(548\) 12.0372 + 13.8917i 0.514205 + 0.593425i
\(549\) −1.94920 + 1.85993i −0.0831900 + 0.0793799i
\(550\) 2.96708 + 1.35502i 0.126517 + 0.0577783i
\(551\) −0.755070 −0.0321671
\(552\) −7.43949 + 3.69512i −0.316646 + 0.157275i
\(553\) −16.3077 −0.693476
\(554\) −13.2502 6.05117i −0.562948 0.257090i
\(555\) −5.85742 + 9.61369i −0.248634 + 0.408078i
\(556\) −4.96460 5.72946i −0.210546 0.242983i
\(557\) −31.4533 + 20.2138i −1.33272 + 0.856486i −0.996360 0.0852475i \(-0.972832\pi\)
−0.336359 + 0.941734i \(0.609196\pi\)
\(558\) 9.47182 + 27.3345i 0.400974 + 1.15716i
\(559\) −32.4401 4.66419i −1.37207 0.197274i
\(560\) −0.957481 3.26088i −0.0404610 0.137797i
\(561\) 3.94392 + 4.33685i 0.166512 + 0.183102i
\(562\) −19.2336 + 2.76538i −0.811321 + 0.116650i
\(563\) −3.17326 6.94846i −0.133737 0.292843i 0.830902 0.556419i \(-0.187825\pi\)
−0.964639 + 0.263576i \(0.915098\pi\)
\(564\) −17.1129 + 2.88091i −0.720582 + 0.121308i
\(565\) −0.971269 6.75532i −0.0408616 0.284199i
\(566\) 14.0538 + 9.03181i 0.590724 + 0.379635i
\(567\) 10.3521 10.8730i 0.434749 0.456624i
\(568\) 1.70169 11.8355i 0.0714015 0.496609i
\(569\) 27.0015 31.1614i 1.13196 1.30635i 0.185826 0.982583i \(-0.440504\pi\)
0.946136 0.323771i \(-0.104951\pi\)
\(570\) −1.48332 + 0.474465i −0.0621293 + 0.0198732i
\(571\) 1.54189 1.33605i 0.0645259 0.0559120i −0.622001 0.783017i \(-0.713680\pi\)
0.686527 + 0.727105i \(0.259134\pi\)
\(572\) 15.3731 + 4.51394i 0.642780 + 0.188737i
\(573\) 1.29248 1.56596i 0.0539942 0.0654190i
\(574\) 11.5794i 0.483314i
\(575\) 3.89733 1.18091i 0.162530 0.0492475i
\(576\) −2.59863 1.49904i −0.108276 0.0624602i
\(577\) −12.0530 + 26.3923i −0.501772 + 1.09873i 0.474117 + 0.880462i \(0.342767\pi\)
−0.975889 + 0.218266i \(0.929960\pi\)
\(578\) 4.57076 15.5666i 0.190119 0.647485i
\(579\) 7.80316 + 16.0560i 0.324288 + 0.667263i
\(580\) −1.88455 2.93242i −0.0782518 0.121762i
\(581\) −10.5513 9.14276i −0.437742 0.379306i
\(582\) −7.32503 + 17.1143i −0.303632 + 0.709409i
\(583\) 51.0797 14.9984i 2.11550 0.621168i
\(584\) 4.49862 6.99999i 0.186154 0.289662i
\(585\) 9.46610 23.6704i 0.391375 0.978651i
\(586\) 25.5922 11.6876i 1.05720 0.482809i
\(587\) 15.3411 7.00603i 0.633194 0.289170i −0.0728447 0.997343i \(-0.523208\pi\)
0.706039 + 0.708173i \(0.250480\pi\)
\(588\) 0.865883 7.25328i 0.0357084 0.299120i
\(589\) −2.30080 + 3.58011i −0.0948028 + 0.147516i
\(590\) 17.9300 5.26473i 0.738167 0.216745i
\(591\) −36.7245 15.7184i −1.51064 0.646567i
\(592\) −2.41097 2.08912i −0.0990903 0.0858622i
\(593\) −9.30879 14.4848i −0.382266 0.594818i 0.595795 0.803137i \(-0.296837\pi\)
−0.978061 + 0.208319i \(0.933201\pi\)
\(594\) 19.9103 + 1.41298i 0.816930 + 0.0579752i
\(595\) −0.843581 + 2.87297i −0.0345834 + 0.117780i
\(596\) −2.89272 + 6.33417i −0.118490 + 0.259458i
\(597\) 0.525180 1.96144i 0.0214942 0.0802764i
\(598\) 18.1231 8.46596i 0.741109 0.346199i
\(599\) 11.8946i 0.485999i 0.970026 + 0.242999i \(0.0781313\pi\)
−0.970026 + 0.242999i \(0.921869\pi\)
\(600\) 1.13429 + 0.936201i 0.0463073 + 0.0382202i
\(601\) 0.134686 + 0.0395473i 0.00549395 + 0.00161317i 0.284478 0.958682i \(-0.408180\pi\)
−0.278984 + 0.960296i \(0.589998\pi\)
\(602\) 9.90596 8.58356i 0.403737 0.349840i
\(603\) 1.81048 + 37.7149i 0.0737285 + 1.53587i
\(604\) 3.41092 3.93641i 0.138788 0.160170i
\(605\) −1.08910 + 7.57486i −0.0442782 + 0.307962i
\(606\) 3.06648 0.0735600i 0.124567 0.00298817i
\(607\) 9.04478 + 5.81273i 0.367116 + 0.235931i 0.711172 0.703018i \(-0.248165\pi\)
−0.344056 + 0.938949i \(0.611801\pi\)
\(608\) −0.0628068 0.436831i −0.00254715 0.0177158i
\(609\) 0.820640 + 4.87469i 0.0332540 + 0.197532i
\(610\) −0.760083 1.66435i −0.0307749 0.0673875i
\(611\) 41.3637 5.94720i 1.67339 0.240598i
\(612\) 1.21201 + 2.34886i 0.0489927 + 0.0949469i
\(613\) −11.0077 37.4887i −0.444596 1.51415i −0.811756 0.583996i \(-0.801488\pi\)
0.367160 0.930158i \(-0.380330\pi\)
\(614\) 18.3124 + 2.63292i 0.739027 + 0.106256i
\(615\) −13.7338 20.2836i −0.553800 0.817916i
\(616\) −5.39061 + 3.46434i −0.217194 + 0.139582i
\(617\) 17.9751 + 20.7444i 0.723651 + 0.835138i 0.991741 0.128256i \(-0.0409379\pi\)
−0.268090 + 0.963394i \(0.586392\pi\)
\(618\) 0.636110 + 0.387569i 0.0255881 + 0.0155903i
\(619\) 19.9479 + 9.10991i 0.801774 + 0.366158i 0.773783 0.633450i \(-0.218362\pi\)
0.0279907 + 0.999608i \(0.491089\pi\)
\(620\) −19.6464 −0.789017
\(621\) 19.8117 15.1161i 0.795015 0.606589i
\(622\) −13.9873 −0.560840
\(623\) −7.81955 3.57107i −0.313284 0.143072i
\(624\) 6.16933 + 3.75885i 0.246971 + 0.150474i
\(625\) 13.1190 + 15.1402i 0.524761 + 0.605606i
\(626\) −20.5836 + 13.2283i −0.822687 + 0.528709i
\(627\) 1.64628 + 2.43142i 0.0657461 + 0.0971014i
\(628\) 14.4779 + 2.08161i 0.577731 + 0.0830652i
\(629\) 0.791858 + 2.69682i 0.0315734 + 0.107529i
\(630\) 4.67525 + 9.06053i 0.186266 + 0.360980i
\(631\) −4.22246 + 0.607099i −0.168094 + 0.0241682i −0.225848 0.974163i \(-0.572515\pi\)
0.0577540 + 0.998331i \(0.481606\pi\)
\(632\) −4.06118 8.89274i −0.161545 0.353734i
\(633\) −2.42870 14.4267i −0.0965322 0.573411i
\(634\) −0.647032 4.50021i −0.0256969 0.178726i
\(635\) −15.1347 9.72651i −0.600604 0.385985i
\(636\) 23.9969 0.575647i 0.951539 0.0228259i
\(637\) −2.50339 + 17.4114i −0.0991878 + 0.689866i
\(638\) −4.30394 + 4.96702i −0.170395 + 0.196646i
\(639\) 1.72002 + 35.8305i 0.0680430 + 1.41743i
\(640\) 1.53974 1.33419i 0.0608635 0.0527386i
\(641\) 3.37742 + 0.991701i 0.133400 + 0.0391698i 0.347751 0.937587i \(-0.386945\pi\)
−0.214351 + 0.976757i \(0.568764\pi\)
\(642\) 24.4261 + 20.1603i 0.964020 + 0.795664i
\(643\) 13.6466i 0.538169i 0.963117 + 0.269084i \(0.0867210\pi\)
−0.963117 + 0.269084i \(0.913279\pi\)
\(644\) −2.18765 + 7.69504i −0.0862056 + 0.303227i
\(645\) 7.17171 26.7849i 0.282386 1.05465i
\(646\) −0.161523 + 0.353687i −0.00635505 + 0.0139156i
\(647\) −0.117428 + 0.399925i −0.00461659 + 0.0157227i −0.961769 0.273862i \(-0.911699\pi\)
0.957152 + 0.289584i \(0.0935171\pi\)
\(648\) 8.50717 + 2.93736i 0.334193 + 0.115390i
\(649\) −19.0487 29.6404i −0.747727 1.16349i
\(650\) −2.67662 2.31930i −0.104985 0.0909704i
\(651\) 25.6136 + 10.9628i 1.00388 + 0.429666i
\(652\) −3.11748 + 0.915375i −0.122090 + 0.0358489i
\(653\) 15.5441 24.1872i 0.608289 0.946516i −0.391365 0.920235i \(-0.627997\pi\)
0.999655 0.0262811i \(-0.00836650\pi\)
\(654\) 2.09138 17.5189i 0.0817794 0.685045i
\(655\) 27.4848 12.5519i 1.07392 0.490442i
\(656\) 6.31433 2.88366i 0.246533 0.112588i
\(657\) −9.26918 + 23.1780i −0.361625 + 0.904260i
\(658\) −9.03575 + 14.0599i −0.352250 + 0.548112i
\(659\) 3.19255 0.937416i 0.124364 0.0365166i −0.218958 0.975734i \(-0.570266\pi\)
0.343322 + 0.939218i \(0.388448\pi\)
\(660\) −5.33385 + 12.4621i −0.207620 + 0.485085i
\(661\) 3.28355 + 2.84521i 0.127715 + 0.110666i 0.716377 0.697714i \(-0.245799\pi\)
−0.588661 + 0.808380i \(0.700345\pi\)
\(662\) −5.20615 8.10093i −0.202343 0.314852i
\(663\) −2.78214 5.72460i −0.108049 0.222325i
\(664\) 2.35799 8.03057i 0.0915076 0.311646i
\(665\) −0.623063 + 1.36432i −0.0241614 + 0.0529060i
\(666\) 8.29007 + 4.78221i 0.321234 + 0.185307i
\(667\) 0.0706739 + 8.20499i 0.00273651 + 0.317699i
\(668\) 10.9220i 0.422584i
\(669\) 19.5708 23.7118i 0.756652 0.916753i
\(670\) −24.6038 7.22433i −0.950529 0.279100i
\(671\) −2.60720 + 2.25915i −0.100650 + 0.0872136i
\(672\) −2.75189 + 0.880243i −0.106157 + 0.0339561i
\(673\) 19.0548 21.9904i 0.734507 0.847666i −0.258465 0.966021i \(-0.583217\pi\)
0.992971 + 0.118355i \(0.0377620\pi\)
\(674\) −0.256094 + 1.78118i −0.00986439 + 0.0686083i
\(675\) −3.87369 2.11242i −0.149099 0.0813072i
\(676\) −3.69858 2.37693i −0.142253 0.0914205i
\(677\) −3.75205 26.0961i −0.144203 1.00295i −0.925487 0.378778i \(-0.876344\pi\)
0.781284 0.624175i \(-0.214565\pi\)
\(678\) −5.72153 + 0.963204i −0.219734 + 0.0369916i
\(679\) 7.44785 + 16.3085i 0.285822 + 0.625864i
\(680\) −1.77673 + 0.255456i −0.0681347 + 0.00979628i
\(681\) −14.8980 16.3823i −0.570894 0.627773i
\(682\) 10.4361 + 35.5420i 0.399618 + 1.36097i
\(683\) 21.9463 + 3.15541i 0.839753 + 0.120738i 0.548753 0.835985i \(-0.315103\pi\)
0.291000 + 0.956723i \(0.406012\pi\)
\(684\) 0.433488 + 1.25099i 0.0165748 + 0.0478329i
\(685\) 31.5046 20.2468i 1.20373 0.773590i
\(686\) −12.2537 14.1415i −0.467847 0.539924i
\(687\) 6.79792 11.1573i 0.259357 0.425678i
\(688\) 7.14760 + 3.26420i 0.272500 + 0.124446i
\(689\) −57.8030 −2.20212
\(690\) 5.29463 + 16.0741i 0.201563 + 0.611930i
\(691\) −16.1928 −0.616002 −0.308001 0.951386i \(-0.599660\pi\)
−0.308001 + 0.951386i \(0.599660\pi\)
\(692\) 4.16317 + 1.90126i 0.158260 + 0.0722749i
\(693\) 13.9078 13.2708i 0.528315 0.504118i
\(694\) 14.9962 + 17.3066i 0.569250 + 0.656949i
\(695\) −12.9937 + 8.35053i −0.492878 + 0.316753i
\(696\) −2.45384 + 1.66146i −0.0930124 + 0.0629776i
\(697\) −6.05361 0.870378i −0.229297 0.0329679i
\(698\) 2.63911 + 8.98800i 0.0998919 + 0.340201i
\(699\) 2.48477 2.25964i 0.0939826 0.0854674i
\(700\) 1.40203 0.201582i 0.0529918 0.00761907i
\(701\) 12.9680 + 28.3960i 0.489796 + 1.07250i 0.979653 + 0.200701i \(0.0643219\pi\)
−0.489856 + 0.871803i \(0.662951\pi\)
\(702\) −20.3104 7.56263i −0.766567 0.285433i
\(703\) 0.200365 + 1.39357i 0.00755689 + 0.0525593i
\(704\) −3.23157 2.07681i −0.121795 0.0782726i
\(705\) 0.847885 + 35.3457i 0.0319332 + 1.33119i
\(706\) 2.43466 16.9334i 0.0916295 0.637297i
\(707\) 1.93454 2.23258i 0.0727559 0.0839648i
\(708\) −4.84003 15.1313i −0.181899 0.568670i
\(709\) −20.2250 + 17.5251i −0.759567 + 0.658168i −0.945951 0.324308i \(-0.894868\pi\)
0.186385 + 0.982477i \(0.440323\pi\)
\(710\) −23.3745 6.86338i −0.877230 0.257578i
\(711\) 17.0210 + 23.8841i 0.638338 + 0.895724i
\(712\) 5.15338i 0.193131i
\(713\) 39.1188 + 24.6666i 1.46501 + 0.923772i
\(714\) 2.45893 + 0.658384i 0.0920231 + 0.0246394i
\(715\) 13.5603 29.6929i 0.507127 1.11045i
\(716\) −1.69676 + 5.77864i −0.0634110 + 0.215958i
\(717\) 21.2802 10.3421i 0.794723 0.386233i
\(718\) 2.46996 + 3.84333i 0.0921779 + 0.143432i
\(719\) 6.18311 + 5.35770i 0.230591 + 0.199808i 0.762491 0.646999i \(-0.223976\pi\)
−0.531900 + 0.846807i \(0.678522\pi\)
\(720\) −3.77648 + 4.80583i −0.140741 + 0.179103i
\(721\) 0.688321 0.202109i 0.0256344 0.00752694i
\(722\) 10.1669 15.8200i 0.378372 0.588758i
\(723\) −48.0933 5.74130i −1.78861 0.213521i
\(724\) −17.3759 + 7.93533i −0.645772 + 0.294914i
\(725\) 1.32152 0.603517i 0.0490799 0.0224141i
\(726\) 6.46005 + 0.771189i 0.239755 + 0.0286215i
\(727\) −20.3825 + 31.7158i −0.755945 + 1.17627i 0.223527 + 0.974698i \(0.428243\pi\)
−0.979473 + 0.201576i \(0.935394\pi\)
\(728\) 6.67570 1.96016i 0.247418 0.0726485i
\(729\) −26.7294 3.81302i −0.989978 0.141223i
\(730\) −12.8120 11.1017i −0.474194 0.410892i
\(731\) −3.74283 5.82395i −0.138433 0.215407i
\(732\) −1.39903 + 0.679924i −0.0517096 + 0.0251307i
\(733\) −3.67525 + 12.5167i −0.135748 + 0.462317i −0.999106 0.0422760i \(-0.986539\pi\)
0.863358 + 0.504593i \(0.168357\pi\)
\(734\) −4.27775 + 9.36697i −0.157895 + 0.345741i
\(735\) −14.3761 3.84924i −0.530271 0.141981i
\(736\) −4.74096 + 0.723380i −0.174754 + 0.0266641i
\(737\) 48.3480i 1.78092i
\(738\) −16.9590 + 12.0859i −0.624270 + 0.444887i
\(739\) 1.05746 + 0.310498i 0.0388993 + 0.0114219i 0.301124 0.953585i \(-0.402638\pi\)
−0.262225 + 0.965007i \(0.584456\pi\)
\(740\) −4.91203 + 4.25630i −0.180570 + 0.156465i
\(741\) −0.971329 3.03666i −0.0356827 0.111554i
\(742\) 15.1388 17.4711i 0.555764 0.641386i
\(743\) −1.58877 + 11.0501i −0.0582862 + 0.405389i 0.939702 + 0.341993i \(0.111102\pi\)
−0.997988 + 0.0633956i \(0.979807\pi\)
\(744\) 0.400544 + 16.6974i 0.0146846 + 0.612156i
\(745\) 11.9349 + 7.67012i 0.437262 + 0.281011i
\(746\) −4.61444 32.0941i −0.168947 1.17505i
\(747\) −2.37755 + 24.9960i −0.0869900 + 0.914554i
\(748\) 1.40594 + 3.07857i 0.0514061 + 0.112564i
\(749\) 30.1916 4.34090i 1.10318 0.158613i
\(750\) 15.2705 13.8869i 0.557598 0.507078i
\(751\) 0.416654 + 1.41899i 0.0152039 + 0.0517797i 0.966746 0.255740i \(-0.0823191\pi\)
−0.951542 + 0.307520i \(0.900501\pi\)
\(752\) −9.91718 1.42587i −0.361642 0.0519963i
\(753\) 10.1033 6.84081i 0.368184 0.249293i
\(754\) 6.00328 3.85807i 0.218626 0.140503i
\(755\) −6.94930 8.01992i −0.252911 0.291875i
\(756\) 7.60520 4.15820i 0.276598 0.151232i
\(757\) −31.2048 14.2508i −1.13416 0.517952i −0.242270 0.970209i \(-0.577892\pi\)
−0.891888 + 0.452257i \(0.850619\pi\)
\(758\) −3.92003 −0.142382
\(759\) 26.2670 18.1170i 0.953431 0.657604i
\(760\) −0.899137 −0.0326151
\(761\) −24.7421 11.2993i −0.896901 0.409601i −0.0870278 0.996206i \(-0.527737\pi\)
−0.809873 + 0.586605i \(0.800464\pi\)
\(762\) −7.95797 + 13.0613i −0.288287 + 0.473160i
\(763\) −11.1274 12.8417i −0.402838 0.464900i
\(764\) 0.986188 0.633784i 0.0356790 0.0229295i
\(765\) 5.08820 1.76314i 0.183964 0.0637463i
\(766\) 4.96010 + 0.713155i 0.179216 + 0.0257673i
\(767\) 10.7780 + 36.7065i 0.389171 + 1.32539i
\(768\) −1.16532 1.28142i −0.0420498 0.0462392i
\(769\) 5.83379 0.838772i 0.210372 0.0302469i −0.0363231 0.999340i \(-0.511565\pi\)
0.246695 + 0.969093i \(0.420655\pi\)
\(770\) 5.42329 + 11.8753i 0.195442 + 0.427958i
\(771\) 14.0111 2.35874i 0.504598 0.0849478i
\(772\) 1.46679 + 10.2018i