Properties

Label 78.2.k.a.11.3
Level $78$
Weight $2$
Character 78.11
Analytic conductor $0.623$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 78 = 2 \cdot 3 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 78.k (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.622833135766\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: 16.0.9349208943630483456.9
Defining polynomial: \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 642 x^{12} - 1668 x^{11} + 3580 x^{10} - 6328 x^{9} + 9297 x^{8} - 11276 x^{7} + 11224 x^{6} - 9024 x^{5} + 5736 x^{4} - 2780 x^{3} + \cdots + 25 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.3
Root \(0.500000 - 0.331082i\) of defining polynomial
Character \(\chi\) \(=\) 78.11
Dual form 78.2.k.a.71.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-0.933998 + 1.45865i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.313444 - 0.313444i) q^{5} +(-1.27970 + 1.16721i) q^{6} +(-0.0745867 - 0.278362i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.25529 - 2.72474i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-0.933998 + 1.45865i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.313444 - 0.313444i) q^{5} +(-1.27970 + 1.16721i) q^{6} +(-0.0745867 - 0.278362i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.25529 - 2.72474i) q^{9} +(0.383889 - 0.221638i) q^{10} +(0.150860 - 0.563016i) q^{11} +(-1.53819 + 0.796225i) q^{12} +(-1.79144 - 3.12902i) q^{13} -0.288181i q^{14} +(0.164448 + 0.749960i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.79907 - 4.84812i) q^{17} +(-0.507306 - 2.95680i) q^{18} +(-6.79127 + 1.81971i) q^{19} +(0.428173 - 0.114729i) q^{20} +(0.475695 + 0.151194i) q^{21} +(0.291439 - 0.504787i) q^{22} +(3.32595 + 5.76071i) q^{23} +(-1.69185 + 0.370982i) q^{24} +4.80351i q^{25} +(-0.920548 - 3.48606i) q^{26} +(5.14688 + 0.713876i) q^{27} +(0.0745867 - 0.278362i) q^{28} +(-3.57681 + 2.06507i) q^{29} +(-0.0352597 + 0.766968i) q^{30} +(-1.03573 - 1.03573i) q^{31} +(0.258819 + 0.965926i) q^{32} +(0.680339 + 0.745907i) q^{33} +(3.95848 - 3.95848i) q^{34} +(-0.110630 - 0.0638720i) q^{35} +(0.275255 - 2.98735i) q^{36} +(6.72147 + 1.80101i) q^{37} -7.03084 q^{38} +(6.23733 + 0.309422i) q^{39} +0.443277 q^{40} +(-7.36988 - 1.97475i) q^{41} +(0.420354 + 0.269161i) q^{42} +(-3.26299 - 1.88389i) q^{43} +(0.412157 - 0.412157i) q^{44} +(-1.24752 - 0.460590i) q^{45} +(1.72164 + 6.42524i) q^{46} +(3.71799 + 3.71799i) q^{47} +(-1.73022 - 0.0795432i) q^{48} +(5.99026 - 3.45848i) q^{49} +(-1.24324 + 4.63983i) q^{50} +(4.45737 + 8.61098i) q^{51} +(0.0130771 - 3.60553i) q^{52} +3.64778i q^{53} +(4.78674 + 2.02166i) q^{54} +(-0.129188 - 0.223760i) q^{55} +(0.144091 - 0.249572i) q^{56} +(3.68871 - 11.6057i) q^{57} +(-3.98942 + 1.06896i) q^{58} +(-3.29111 + 0.881850i) q^{59} +(-0.232564 + 0.731708i) q^{60} +(-5.25554 + 9.10286i) q^{61} +(-0.732370 - 1.26850i) q^{62} +(-0.664836 + 0.552656i) q^{63} +1.00000i q^{64} +(-1.54229 - 0.419256i) q^{65} +(0.464102 + 0.896575i) q^{66} +(2.29144 - 8.55177i) q^{67} +(4.84812 - 2.79907i) q^{68} +(-11.5093 - 0.529114i) q^{69} +(-0.0903287 - 0.0903287i) q^{70} +(-3.98229 - 14.8621i) q^{71} +(1.03906 - 2.81431i) q^{72} +(3.52053 - 3.52053i) q^{73} +(6.02630 + 3.47929i) q^{74} +(-7.00661 - 4.48647i) q^{75} +(-6.79127 - 1.81971i) q^{76} -0.167974 q^{77} +(5.94471 + 1.91322i) q^{78} +1.10886 q^{79} +(0.428173 + 0.114729i) q^{80} +(-5.84847 + 6.84072i) q^{81} +(-6.60765 - 3.81493i) q^{82} +(-8.23032 + 8.23032i) q^{83} +(0.336367 + 0.368785i) q^{84} +(-0.642265 - 2.39697i) q^{85} +(-2.66422 - 2.66422i) q^{86} +(0.328525 - 7.14608i) q^{87} +(0.504787 - 0.291439i) q^{88} +(3.64478 - 13.6025i) q^{89} +(-1.08580 - 0.767778i) q^{90} +(-0.737380 + 0.732051i) q^{91} +6.65190i q^{92} +(2.47813 - 0.543392i) q^{93} +(2.62902 + 4.55359i) q^{94} +(-1.55830 + 2.69906i) q^{95} +(-1.65068 - 0.524648i) q^{96} +(2.59245 - 0.694645i) q^{97} +(6.68126 - 1.79024i) q^{98} +(-1.72345 + 0.295697i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{7} - 24 q^{10} - 24 q^{13} + 8 q^{16} - 16 q^{19} - 24 q^{21} - 8 q^{28} + 24 q^{30} + 16 q^{31} - 24 q^{33} + 24 q^{34} + 24 q^{36} + 16 q^{37} + 48 q^{39} + 24 q^{45} + 24 q^{46} + 24 q^{49} - 8 q^{52} - 24 q^{55} - 24 q^{57} - 24 q^{60} - 24 q^{61} - 24 q^{63} - 48 q^{66} + 32 q^{67} - 48 q^{69} - 24 q^{72} + 56 q^{73} - 16 q^{76} - 96 q^{79} + 24 q^{81} - 48 q^{82} - 24 q^{85} + 48 q^{87} - 16 q^{91} - 24 q^{93} - 24 q^{94} + 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).

\(n\) \(53\) \(67\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −0.933998 + 1.45865i −0.539244 + 0.842150i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 0.313444 0.313444i 0.140176 0.140176i −0.633536 0.773713i \(-0.718397\pi\)
0.773713 + 0.633536i \(0.218397\pi\)
\(6\) −1.27970 + 1.16721i −0.522435 + 0.476510i
\(7\) −0.0745867 0.278362i −0.0281911 0.105211i 0.950397 0.311040i \(-0.100677\pi\)
−0.978588 + 0.205830i \(0.934011\pi\)
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −1.25529 2.72474i −0.418432 0.908248i
\(10\) 0.383889 0.221638i 0.121396 0.0700882i
\(11\) 0.150860 0.563016i 0.0454859 0.169756i −0.939446 0.342696i \(-0.888660\pi\)
0.984932 + 0.172940i \(0.0553267\pi\)
\(12\) −1.53819 + 0.796225i −0.444037 + 0.229850i
\(13\) −1.79144 3.12902i −0.496856 0.867833i
\(14\) 0.288181i 0.0770196i
\(15\) 0.164448 + 0.749960i 0.0424602 + 0.193639i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.79907 4.84812i 0.678873 1.17584i −0.296448 0.955049i \(-0.595802\pi\)
0.975321 0.220793i \(-0.0708647\pi\)
\(18\) −0.507306 2.95680i −0.119573 0.696923i
\(19\) −6.79127 + 1.81971i −1.55802 + 0.417471i −0.932037 0.362363i \(-0.881970\pi\)
−0.625986 + 0.779834i \(0.715304\pi\)
\(20\) 0.428173 0.114729i 0.0957423 0.0256541i
\(21\) 0.475695 + 0.151194i 0.103805 + 0.0329931i
\(22\) 0.291439 0.504787i 0.0621349 0.107621i
\(23\) 3.32595 + 5.76071i 0.693509 + 1.20119i 0.970681 + 0.240372i \(0.0772694\pi\)
−0.277172 + 0.960820i \(0.589397\pi\)
\(24\) −1.69185 + 0.370982i −0.345348 + 0.0757264i
\(25\) 4.80351i 0.960701i
\(26\) −0.920548 3.48606i −0.180534 0.683672i
\(27\) 5.14688 + 0.713876i 0.990518 + 0.137386i
\(28\) 0.0745867 0.278362i 0.0140956 0.0526054i
\(29\) −3.57681 + 2.06507i −0.664198 + 0.383475i −0.793874 0.608082i \(-0.791939\pi\)
0.129677 + 0.991556i \(0.458606\pi\)
\(30\) −0.0352597 + 0.766968i −0.00643751 + 0.140029i
\(31\) −1.03573 1.03573i −0.186022 0.186022i 0.607952 0.793974i \(-0.291991\pi\)
−0.793974 + 0.607952i \(0.791991\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 0.680339 + 0.745907i 0.118432 + 0.129846i
\(34\) 3.95848 3.95848i 0.678873 0.678873i
\(35\) −0.110630 0.0638720i −0.0186998 0.0107963i
\(36\) 0.275255 2.98735i 0.0458759 0.497891i
\(37\) 6.72147 + 1.80101i 1.10500 + 0.296085i 0.764800 0.644268i \(-0.222838\pi\)
0.340202 + 0.940352i \(0.389504\pi\)
\(38\) −7.03084 −1.14055
\(39\) 6.23733 + 0.309422i 0.998772 + 0.0495471i
\(40\) 0.443277 0.0700882
\(41\) −7.36988 1.97475i −1.15098 0.308404i −0.367623 0.929975i \(-0.619828\pi\)
−0.783358 + 0.621570i \(0.786495\pi\)
\(42\) 0.420354 + 0.269161i 0.0648620 + 0.0415324i
\(43\) −3.26299 1.88389i −0.497602 0.287290i 0.230121 0.973162i \(-0.426088\pi\)
−0.727723 + 0.685872i \(0.759421\pi\)
\(44\) 0.412157 0.412157i 0.0621349 0.0621349i
\(45\) −1.24752 0.460590i −0.185969 0.0686608i
\(46\) 1.72164 + 6.42524i 0.253842 + 0.947350i
\(47\) 3.71799 + 3.71799i 0.542325 + 0.542325i 0.924210 0.381885i \(-0.124725\pi\)
−0.381885 + 0.924210i \(0.624725\pi\)
\(48\) −1.73022 0.0795432i −0.249736 0.0114811i
\(49\) 5.99026 3.45848i 0.855751 0.494068i
\(50\) −1.24324 + 4.63983i −0.175821 + 0.656171i
\(51\) 4.45737 + 8.61098i 0.624157 + 1.20578i
\(52\) 0.0130771 3.60553i 0.00181347 0.499997i
\(53\) 3.64778i 0.501062i 0.968109 + 0.250531i \(0.0806052\pi\)
−0.968109 + 0.250531i \(0.919395\pi\)
\(54\) 4.78674 + 2.02166i 0.651393 + 0.275113i
\(55\) −0.129188 0.223760i −0.0174197 0.0301718i
\(56\) 0.144091 0.249572i 0.0192549 0.0333505i
\(57\) 3.68871 11.6057i 0.488582 1.53721i
\(58\) −3.98942 + 1.06896i −0.523836 + 0.140361i
\(59\) −3.29111 + 0.881850i −0.428466 + 0.114807i −0.466606 0.884465i \(-0.654523\pi\)
0.0381400 + 0.999272i \(0.487857\pi\)
\(60\) −0.232564 + 0.731708i −0.0300239 + 0.0944632i
\(61\) −5.25554 + 9.10286i −0.672903 + 1.16550i 0.304174 + 0.952616i \(0.401620\pi\)
−0.977077 + 0.212886i \(0.931714\pi\)
\(62\) −0.732370 1.26850i −0.0930111 0.161100i
\(63\) −0.664836 + 0.552656i −0.0837614 + 0.0696281i
\(64\) 1.00000i 0.125000i
\(65\) −1.54229 0.419256i −0.191297 0.0520023i
\(66\) 0.464102 + 0.896575i 0.0571270 + 0.110361i
\(67\) 2.29144 8.55177i 0.279944 1.04476i −0.672512 0.740087i \(-0.734785\pi\)
0.952455 0.304678i \(-0.0985488\pi\)
\(68\) 4.84812 2.79907i 0.587921 0.339437i
\(69\) −11.5093 0.529114i −1.38555 0.0636978i
\(70\) −0.0903287 0.0903287i −0.0107963 0.0107963i
\(71\) −3.98229 14.8621i −0.472611 1.76381i −0.630334 0.776324i \(-0.717082\pi\)
0.157723 0.987483i \(-0.449585\pi\)
\(72\) 1.03906 2.81431i 0.122454 0.331670i
\(73\) 3.52053 3.52053i 0.412047 0.412047i −0.470404 0.882451i \(-0.655892\pi\)
0.882451 + 0.470404i \(0.155892\pi\)
\(74\) 6.02630 + 3.47929i 0.700543 + 0.404459i
\(75\) −7.00661 4.48647i −0.809054 0.518052i
\(76\) −6.79127 1.81971i −0.779012 0.208736i
\(77\) −0.167974 −0.0191424
\(78\) 5.94471 + 1.91322i 0.673106 + 0.216629i
\(79\) 1.10886 0.124757 0.0623783 0.998053i \(-0.480131\pi\)
0.0623783 + 0.998053i \(0.480131\pi\)
\(80\) 0.428173 + 0.114729i 0.0478712 + 0.0128270i
\(81\) −5.84847 + 6.84072i −0.649830 + 0.760080i
\(82\) −6.60765 3.81493i −0.729693 0.421288i
\(83\) −8.23032 + 8.23032i −0.903395 + 0.903395i −0.995728 0.0923332i \(-0.970567\pi\)
0.0923332 + 0.995728i \(0.470567\pi\)
\(84\) 0.336367 + 0.368785i 0.0367006 + 0.0402377i
\(85\) −0.642265 2.39697i −0.0696634 0.259987i
\(86\) −2.66422 2.66422i −0.287290 0.287290i
\(87\) 0.328525 7.14608i 0.0352216 0.766140i
\(88\) 0.504787 0.291439i 0.0538104 0.0310675i
\(89\) 3.64478 13.6025i 0.386346 1.44186i −0.449687 0.893186i \(-0.648465\pi\)
0.836034 0.548678i \(-0.184869\pi\)
\(90\) −1.08580 0.767778i −0.114454 0.0809309i
\(91\) −0.737380 + 0.732051i −0.0772985 + 0.0767398i
\(92\) 6.65190i 0.693509i
\(93\) 2.47813 0.543392i 0.256970 0.0563471i
\(94\) 2.62902 + 4.55359i 0.271162 + 0.469667i
\(95\) −1.55830 + 2.69906i −0.159879 + 0.276918i
\(96\) −1.65068 0.524648i −0.168472 0.0535466i
\(97\) 2.59245 0.694645i 0.263223 0.0705305i −0.124794 0.992183i \(-0.539827\pi\)
0.388017 + 0.921652i \(0.373160\pi\)
\(98\) 6.68126 1.79024i 0.674909 0.180841i
\(99\) −1.72345 + 0.295697i −0.173213 + 0.0297187i
\(100\) −2.40175 + 4.15996i −0.240175 + 0.415996i
\(101\) 7.12030 + 12.3327i 0.708497 + 1.22715i 0.965415 + 0.260719i \(0.0839596\pi\)
−0.256918 + 0.966433i \(0.582707\pi\)
\(102\) 2.07680 + 9.47122i 0.205634 + 0.937791i
\(103\) 4.60903i 0.454141i 0.973878 + 0.227071i \(0.0729148\pi\)
−0.973878 + 0.227071i \(0.927085\pi\)
\(104\) 0.945811 3.47929i 0.0927444 0.341172i
\(105\) 0.196494 0.101713i 0.0191759 0.00992617i
\(106\) −0.944116 + 3.52349i −0.0917007 + 0.342232i
\(107\) 11.7017 6.75600i 1.13125 0.653127i 0.187001 0.982360i \(-0.440123\pi\)
0.944249 + 0.329232i \(0.106790\pi\)
\(108\) 4.10039 + 3.19168i 0.394560 + 0.307119i
\(109\) 2.06188 + 2.06188i 0.197492 + 0.197492i 0.798924 0.601432i \(-0.205403\pi\)
−0.601432 + 0.798924i \(0.705403\pi\)
\(110\) −0.0668726 0.249572i −0.00637606 0.0237958i
\(111\) −8.90488 + 8.12210i −0.845213 + 0.770915i
\(112\) 0.203775 0.203775i 0.0192549 0.0192549i
\(113\) 9.02108 + 5.20832i 0.848632 + 0.489958i 0.860189 0.509975i \(-0.170345\pi\)
−0.0115570 + 0.999933i \(0.503679\pi\)
\(114\) 6.56679 10.2555i 0.615036 0.960516i
\(115\) 2.84816 + 0.763163i 0.265592 + 0.0711653i
\(116\) −4.13015 −0.383475
\(117\) −6.27699 + 8.80905i −0.580308 + 0.814397i
\(118\) −3.40721 −0.313659
\(119\) −1.55830 0.417546i −0.142850 0.0382764i
\(120\) −0.414020 + 0.646584i −0.0377947 + 0.0590248i
\(121\) 9.23205 + 5.33013i 0.839277 + 0.484557i
\(122\) −7.43246 + 7.43246i −0.672903 + 0.672903i
\(123\) 9.76391 8.90562i 0.880382 0.802993i
\(124\) −0.379103 1.41483i −0.0340444 0.127055i
\(125\) 3.07285 + 3.07285i 0.274844 + 0.274844i
\(126\) −0.785220 + 0.361752i −0.0699529 + 0.0322274i
\(127\) −0.209104 + 0.120726i −0.0185550 + 0.0107127i −0.509249 0.860619i \(-0.670077\pi\)
0.490694 + 0.871332i \(0.336743\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 5.79555 3.00000i 0.510270 0.264135i
\(130\) −1.38122 0.804144i −0.121141 0.0705281i
\(131\) 8.09043i 0.706864i −0.935460 0.353432i \(-0.885015\pi\)
0.935460 0.353432i \(-0.114985\pi\)
\(132\) 0.216237 + 0.986144i 0.0188210 + 0.0858328i
\(133\) 1.01308 + 1.75470i 0.0878449 + 0.152152i
\(134\) 4.42672 7.66730i 0.382410 0.662354i
\(135\) 1.83702 1.38950i 0.158105 0.119589i
\(136\) 5.40738 1.44890i 0.463679 0.124242i
\(137\) −0.0798882 + 0.0214060i −0.00682531 + 0.00182884i −0.262230 0.965005i \(-0.584458\pi\)
0.255405 + 0.966834i \(0.417791\pi\)
\(138\) −10.9802 3.48990i −0.934693 0.297080i
\(139\) 3.12073 5.40526i 0.264697 0.458468i −0.702788 0.711400i \(-0.748062\pi\)
0.967484 + 0.252932i \(0.0813949\pi\)
\(140\) −0.0638720 0.110630i −0.00539817 0.00934990i
\(141\) −8.89583 + 1.95064i −0.749164 + 0.164273i
\(142\) 15.3864i 1.29120i
\(143\) −2.03194 + 0.536566i −0.169920 + 0.0448699i
\(144\) 1.73205 2.44949i 0.144338 0.204124i
\(145\) −0.473846 + 1.76842i −0.0393507 + 0.146859i
\(146\) 4.31175 2.48939i 0.356843 0.206023i
\(147\) −0.550197 + 11.9679i −0.0453795 + 0.987093i
\(148\) 4.92046 + 4.92046i 0.404459 + 0.404459i
\(149\) 3.76251 + 14.0419i 0.308237 + 1.15036i 0.930123 + 0.367249i \(0.119700\pi\)
−0.621886 + 0.783108i \(0.713633\pi\)
\(150\) −5.60669 6.14704i −0.457784 0.501904i
\(151\) −6.40358 + 6.40358i −0.521116 + 0.521116i −0.917908 0.396793i \(-0.870123\pi\)
0.396793 + 0.917908i \(0.370123\pi\)
\(152\) −6.08888 3.51542i −0.493874 0.285138i
\(153\) −16.7236 1.54091i −1.35202 0.124576i
\(154\) −0.162251 0.0434749i −0.0130745 0.00350331i
\(155\) −0.649285 −0.0521519
\(156\) 5.24697 + 3.38663i 0.420094 + 0.271147i
\(157\) −10.2127 −0.815065 −0.407532 0.913191i \(-0.633611\pi\)
−0.407532 + 0.913191i \(0.633611\pi\)
\(158\) 1.07108 + 0.286994i 0.0852103 + 0.0228320i
\(159\) −5.32083 3.40702i −0.421969 0.270195i
\(160\) 0.383889 + 0.221638i 0.0303491 + 0.0175221i
\(161\) 1.35549 1.35549i 0.106828 0.106828i
\(162\) −7.41970 + 5.09393i −0.582946 + 0.400217i
\(163\) −3.59245 13.4072i −0.281382 1.05013i −0.951442 0.307827i \(-0.900398\pi\)
0.670060 0.742307i \(-0.266268\pi\)
\(164\) −5.39512 5.39512i −0.421288 0.421288i
\(165\) 0.447048 + 0.0205521i 0.0348027 + 0.00159998i
\(166\) −10.0800 + 5.81971i −0.782363 + 0.451697i
\(167\) 3.47123 12.9548i 0.268612 1.00247i −0.691391 0.722481i \(-0.743002\pi\)
0.960003 0.279991i \(-0.0903316\pi\)
\(168\) 0.229457 + 0.443277i 0.0177030 + 0.0341996i
\(169\) −6.58150 + 11.2109i −0.506269 + 0.862376i
\(170\) 2.48152i 0.190324i
\(171\) 13.4833 + 16.2202i 1.03109 + 1.24039i
\(172\) −1.88389 3.26299i −0.143645 0.248801i
\(173\) 0.551099 0.954532i 0.0418993 0.0725717i −0.844315 0.535847i \(-0.819992\pi\)
0.886215 + 0.463275i \(0.153326\pi\)
\(174\) 2.16687 6.81755i 0.164270 0.516837i
\(175\) 1.33711 0.358278i 0.101076 0.0270833i
\(176\) 0.563016 0.150860i 0.0424389 0.0113715i
\(177\) 1.78758 5.62421i 0.134363 0.422741i
\(178\) 7.04118 12.1957i 0.527759 0.914105i
\(179\) 2.79777 + 4.84589i 0.209115 + 0.362199i 0.951436 0.307846i \(-0.0996082\pi\)
−0.742321 + 0.670045i \(0.766275\pi\)
\(180\) −0.850089 1.02264i −0.0633619 0.0762233i
\(181\) 14.4687i 1.07545i −0.843119 0.537727i \(-0.819283\pi\)
0.843119 0.537727i \(-0.180717\pi\)
\(182\) −0.901723 + 0.516259i −0.0668402 + 0.0382676i
\(183\) −8.36919 16.1680i −0.618668 1.19518i
\(184\) −1.72164 + 6.42524i −0.126921 + 0.473675i
\(185\) 2.67132 1.54229i 0.196399 0.113391i
\(186\) 2.53433 + 0.116510i 0.185826 + 0.00854294i
\(187\) −2.30731 2.30731i −0.168727 0.168727i
\(188\) 1.36088 + 5.07887i 0.0992523 + 0.370415i
\(189\) −0.185173 1.48594i −0.0134694 0.108086i
\(190\) −2.20377 + 2.20377i −0.159879 + 0.159879i
\(191\) −5.78136 3.33787i −0.418324 0.241520i 0.276036 0.961147i \(-0.410979\pi\)
−0.694360 + 0.719628i \(0.744312\pi\)
\(192\) −1.45865 0.933998i −0.105269 0.0674055i
\(193\) 5.88685 + 1.57738i 0.423745 + 0.113542i 0.464388 0.885632i \(-0.346274\pi\)
−0.0406437 + 0.999174i \(0.512941\pi\)
\(194\) 2.68390 0.192693
\(195\) 2.05204 1.85807i 0.146950 0.133059i
\(196\) 6.91695 0.494068
\(197\) −14.2844 3.82748i −1.01772 0.272697i −0.288868 0.957369i \(-0.593279\pi\)
−0.728851 + 0.684672i \(0.759945\pi\)
\(198\) −1.74126 0.160440i −0.123746 0.0114020i
\(199\) 13.4064 + 7.74017i 0.950352 + 0.548686i 0.893190 0.449679i \(-0.148462\pi\)
0.0571619 + 0.998365i \(0.481795\pi\)
\(200\) −3.39659 + 3.39659i −0.240175 + 0.240175i
\(201\) 10.3338 + 11.3297i 0.728890 + 0.799138i
\(202\) 3.68574 + 13.7554i 0.259328 + 0.967824i
\(203\) 0.841620 + 0.841620i 0.0590701 + 0.0590701i
\(204\) −0.445293 + 9.68602i −0.0311768 + 0.678157i
\(205\) −2.92902 + 1.69107i −0.204572 + 0.118109i
\(206\) −1.19291 + 4.45198i −0.0831136 + 0.310184i
\(207\) 11.5214 16.2938i 0.800795 1.13249i
\(208\) 1.81409 3.11594i 0.125784 0.216052i
\(209\) 4.09812i 0.283473i
\(210\) 0.216124 0.0473907i 0.0149140 0.00327027i
\(211\) −9.40721 16.2938i −0.647619 1.12171i −0.983690 0.179872i \(-0.942432\pi\)
0.336071 0.941837i \(-0.390902\pi\)
\(212\) −1.82389 + 3.15907i −0.125265 + 0.216966i
\(213\) 25.3980 + 8.07243i 1.74024 + 0.553114i
\(214\) 13.0516 3.49716i 0.892189 0.239061i
\(215\) −1.61326 + 0.432272i −0.110023 + 0.0294807i
\(216\) 3.13461 + 4.14418i 0.213283 + 0.281976i
\(217\) −0.211055 + 0.365558i −0.0143274 + 0.0248157i
\(218\) 1.45797 + 2.52528i 0.0987462 + 0.171033i
\(219\) 1.84704 + 8.42337i 0.124811 + 0.569199i
\(220\) 0.258376i 0.0174197i
\(221\) −20.1842 0.0732075i −1.35774 0.00492447i
\(222\) −10.7036 + 5.54059i −0.718379 + 0.371860i
\(223\) −1.86235 + 6.95039i −0.124712 + 0.465432i −0.999829 0.0184790i \(-0.994118\pi\)
0.875117 + 0.483911i \(0.160784\pi\)
\(224\) 0.249572 0.144091i 0.0166752 0.00962745i
\(225\) 13.0883 6.02982i 0.872555 0.401988i
\(226\) 7.36568 + 7.36568i 0.489958 + 0.489958i
\(227\) 1.38733 + 5.17758i 0.0920803 + 0.343648i 0.996561 0.0828671i \(-0.0264077\pi\)
−0.904480 + 0.426515i \(0.859741\pi\)
\(228\) 8.99735 8.20644i 0.595864 0.543485i
\(229\) −8.24846 + 8.24846i −0.545074 + 0.545074i −0.925012 0.379938i \(-0.875945\pi\)
0.379938 + 0.925012i \(0.375945\pi\)
\(230\) 2.55359 + 1.47432i 0.168379 + 0.0972136i
\(231\) 0.156888 0.245015i 0.0103224 0.0161208i
\(232\) −3.98942 1.06896i −0.261918 0.0701807i
\(233\) −9.54763 −0.625486 −0.312743 0.949838i \(-0.601248\pi\)
−0.312743 + 0.949838i \(0.601248\pi\)
\(234\) −8.34306 + 6.88429i −0.545403 + 0.450040i
\(235\) 2.33077 0.152042
\(236\) −3.29111 0.881850i −0.214233 0.0574036i
\(237\) −1.03567 + 1.61743i −0.0672742 + 0.105064i
\(238\) −1.39714 0.806638i −0.0905630 0.0522865i
\(239\) −20.6375 + 20.6375i −1.33493 + 1.33493i −0.434036 + 0.900895i \(0.642911\pi\)
−0.900895 + 0.434036i \(0.857089\pi\)
\(240\) −0.567261 + 0.517396i −0.0366165 + 0.0333978i
\(241\) −2.88685 10.7739i −0.185958 0.694006i −0.994423 0.105462i \(-0.966368\pi\)
0.808465 0.588544i \(-0.200299\pi\)
\(242\) 7.53794 + 7.53794i 0.484557 + 0.484557i
\(243\) −4.51572 14.9201i −0.289684 0.957122i
\(244\) −9.10286 + 5.25554i −0.582751 + 0.336451i
\(245\) 0.793572 2.96165i 0.0506994 0.189213i
\(246\) 11.7362 6.07508i 0.748270 0.387333i
\(247\) 17.8601 + 17.9901i 1.13641 + 1.14468i
\(248\) 1.46474i 0.0930111i
\(249\) −4.31802 19.6922i −0.273643 1.24794i
\(250\) 2.17283 + 3.76346i 0.137422 + 0.238022i
\(251\) 2.23476 3.87071i 0.141057 0.244317i −0.786838 0.617159i \(-0.788283\pi\)
0.927895 + 0.372842i \(0.121617\pi\)
\(252\) −0.852093 + 0.146196i −0.0536768 + 0.00920948i
\(253\) 3.74513 1.00350i 0.235454 0.0630898i
\(254\) −0.233226 + 0.0624926i −0.0146339 + 0.00392114i
\(255\) 4.09620 + 1.30192i 0.256514 + 0.0815297i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.97416 10.3475i −0.372658 0.645462i 0.617316 0.786715i \(-0.288220\pi\)
−0.989973 + 0.141254i \(0.954887\pi\)
\(258\) 6.37453 1.39778i 0.396861 0.0870218i
\(259\) 2.00533i 0.124605i
\(260\) −1.12603 1.13423i −0.0698336 0.0703420i
\(261\) 10.1168 + 7.15363i 0.626211 + 0.442798i
\(262\) 2.09396 7.81476i 0.129365 0.482797i
\(263\) −2.38262 + 1.37560i −0.146918 + 0.0848234i −0.571657 0.820493i \(-0.693699\pi\)
0.424739 + 0.905316i \(0.360366\pi\)
\(264\) −0.0463639 + 1.00851i −0.00285350 + 0.0620694i
\(265\) 1.14338 + 1.14338i 0.0702371 + 0.0702371i
\(266\) 0.524407 + 1.95711i 0.0321535 + 0.119998i
\(267\) 16.4370 + 18.0212i 1.00593 + 1.10288i
\(268\) 6.26033 6.26033i 0.382410 0.382410i
\(269\) 5.40423 + 3.12013i 0.329502 + 0.190238i 0.655620 0.755091i \(-0.272407\pi\)
−0.326118 + 0.945329i \(0.605741\pi\)
\(270\) 2.13405 0.866698i 0.129874 0.0527455i
\(271\) −21.6057 5.78922i −1.31245 0.351670i −0.466306 0.884624i \(-0.654415\pi\)
−0.846144 + 0.532954i \(0.821082\pi\)
\(272\) 5.59813 0.339437
\(273\) −0.379091 1.75931i −0.0229436 0.106478i
\(274\) −0.0827063 −0.00499647
\(275\) 2.70445 + 0.724656i 0.163085 + 0.0436984i
\(276\) −9.70277 6.21286i −0.584038 0.373970i
\(277\) −4.84833 2.79919i −0.291308 0.168187i 0.347224 0.937782i \(-0.387125\pi\)
−0.638532 + 0.769596i \(0.720458\pi\)
\(278\) 4.41337 4.41337i 0.264697 0.264697i
\(279\) −1.52195 + 4.12224i −0.0911167 + 0.246792i
\(280\) −0.0330626 0.123391i −0.00197587 0.00737404i
\(281\) −8.82870 8.82870i −0.526676 0.526676i 0.392903 0.919580i \(-0.371471\pi\)
−0.919580 + 0.392903i \(0.871471\pi\)
\(282\) −9.09757 0.418241i −0.541753 0.0249059i
\(283\) −5.93983 + 3.42936i −0.353086 + 0.203854i −0.666044 0.745913i \(-0.732014\pi\)
0.312958 + 0.949767i \(0.398680\pi\)
\(284\) 3.98229 14.8621i 0.236305 0.881904i
\(285\) −2.48152 4.79393i −0.146993 0.283968i
\(286\) −2.10158 0.00762236i −0.124269 0.000450720i
\(287\) 2.19878i 0.129790i
\(288\) 2.30701 1.91774i 0.135942 0.113004i
\(289\) −7.16953 12.4180i −0.421737 0.730470i
\(290\) −0.915400 + 1.58552i −0.0537541 + 0.0931049i
\(291\) −1.40810 + 4.43026i −0.0825445 + 0.259707i
\(292\) 4.80913 1.28860i 0.281433 0.0754098i
\(293\) 26.4232 7.08007i 1.54366 0.413622i 0.616213 0.787579i \(-0.288666\pi\)
0.927446 + 0.373957i \(0.121999\pi\)
\(294\) −3.62896 + 11.4177i −0.211645 + 0.665892i
\(295\) −0.755168 + 1.30799i −0.0439676 + 0.0761541i
\(296\) 3.47929 + 6.02630i 0.202229 + 0.350272i
\(297\) 1.17838 2.79008i 0.0683766 0.161897i
\(298\) 14.5372i 0.842119i
\(299\) 12.0671 20.7269i 0.697861 1.19867i
\(300\) −3.82467 7.38870i −0.220818 0.426587i
\(301\) −0.281026 + 1.04880i −0.0161981 + 0.0604521i
\(302\) −7.84275 + 4.52801i −0.451300 + 0.260558i
\(303\) −24.6394 1.13274i −1.41550 0.0650744i
\(304\) −4.97155 4.97155i −0.285138 0.285138i
\(305\) 1.20592 + 4.50056i 0.0690508 + 0.257701i
\(306\) −15.7549 5.81678i −0.900647 0.332523i
\(307\) −15.4869 + 15.4869i −0.883883 + 0.883883i −0.993927 0.110044i \(-0.964901\pi\)
0.110044 + 0.993927i \(0.464901\pi\)
\(308\) −0.145470 0.0839871i −0.00828892 0.00478561i
\(309\) −6.72294 4.30483i −0.382455 0.244893i
\(310\) −0.627161 0.168047i −0.0356204 0.00954445i
\(311\) 31.8012 1.80328 0.901642 0.432484i \(-0.142363\pi\)
0.901642 + 0.432484i \(0.142363\pi\)
\(312\) 4.19166 + 4.62925i 0.237306 + 0.262080i
\(313\) −23.7424 −1.34200 −0.670999 0.741458i \(-0.734135\pi\)
−0.670999 + 0.741458i \(0.734135\pi\)
\(314\) −9.86474 2.64325i −0.556700 0.149167i
\(315\) −0.0351622 + 0.381616i −0.00198117 + 0.0215016i
\(316\) 0.960301 + 0.554430i 0.0540212 + 0.0311891i
\(317\) 16.8936 16.8936i 0.948841 0.948841i −0.0499128 0.998754i \(-0.515894\pi\)
0.998754 + 0.0499128i \(0.0158944\pi\)
\(318\) −4.25772 4.66806i −0.238761 0.261772i
\(319\) 0.623073 + 2.32534i 0.0348854 + 0.130194i
\(320\) 0.313444 + 0.313444i 0.0175221 + 0.0175221i
\(321\) −1.07479 + 23.3788i −0.0599888 + 1.30488i
\(322\) 1.66013 0.958476i 0.0925154 0.0534138i
\(323\) −10.1870 + 38.0184i −0.566820 + 2.11540i
\(324\) −8.48528 + 3.00000i −0.471405 + 0.166667i
\(325\) 15.0303 8.60519i 0.833728 0.477330i
\(326\) 13.8802i 0.768751i
\(327\) −4.93335 + 1.08176i −0.272815 + 0.0598215i
\(328\) −3.81493 6.60765i −0.210644 0.364846i
\(329\) 0.757633 1.31226i 0.0417697 0.0723472i
\(330\) 0.426496 + 0.135556i 0.0234778 + 0.00746213i
\(331\) 15.9259 4.26733i 0.875367 0.234554i 0.206960 0.978349i \(-0.433643\pi\)
0.668407 + 0.743795i \(0.266976\pi\)
\(332\) −11.2428 + 3.01251i −0.617030 + 0.165333i
\(333\) −3.53013 20.5751i −0.193450 1.12751i
\(334\) 6.70590 11.6150i 0.366930 0.635542i
\(335\) −1.96226 3.39874i −0.107210 0.185693i
\(336\) 0.106910 + 0.487560i 0.00583242 + 0.0265986i
\(337\) 3.24846i 0.176955i −0.996078 0.0884775i \(-0.971800\pi\)
0.996078 0.0884775i \(-0.0282001\pi\)
\(338\) −9.25883 + 9.12547i −0.503614 + 0.496360i
\(339\) −16.0228 + 8.29400i −0.870238 + 0.450468i
\(340\) 0.642265 2.39697i 0.0348317 0.129994i
\(341\) −0.739381 + 0.426882i −0.0400397 + 0.0231169i
\(342\) 8.82577 + 19.1572i 0.477243 + 1.03590i
\(343\) −2.83592 2.83592i −0.153125 0.153125i
\(344\) −0.975173 3.63939i −0.0525778 0.196223i
\(345\) −3.77336 + 3.44167i −0.203151 + 0.185293i
\(346\) 0.779372 0.779372i 0.0418993 0.0418993i
\(347\) −7.11715 4.10909i −0.382069 0.220587i 0.296649 0.954986i \(-0.404131\pi\)
−0.678718 + 0.734399i \(0.737464\pi\)
\(348\) 3.85755 6.02442i 0.206786 0.322943i
\(349\) 7.73980 + 2.07387i 0.414302 + 0.111012i 0.459948 0.887946i \(-0.347868\pi\)
−0.0456462 + 0.998958i \(0.514535\pi\)
\(350\) 1.38428 0.0739928
\(351\) −6.98659 17.3835i −0.372917 0.927865i
\(352\) 0.582877 0.0310675
\(353\) 2.70035 + 0.723557i 0.143725 + 0.0385111i 0.329964 0.943993i \(-0.392963\pi\)
−0.186239 + 0.982504i \(0.559630\pi\)
\(354\) 3.18233 4.96991i 0.169139 0.264148i
\(355\) −5.90666 3.41021i −0.313493 0.180995i
\(356\) 9.95774 9.95774i 0.527759 0.527759i
\(357\) 2.06451 1.88303i 0.109265 0.0996603i
\(358\) 1.44823 + 5.40488i 0.0765416 + 0.285657i
\(359\) 11.6531 + 11.6531i 0.615028 + 0.615028i 0.944252 0.329224i \(-0.106787\pi\)
−0.329224 + 0.944252i \(0.606787\pi\)
\(360\) −0.556443 1.20782i −0.0293271 0.0636575i
\(361\) 26.3555 15.2163i 1.38713 0.800860i
\(362\) 3.74479 13.9757i 0.196822 0.734548i
\(363\) −16.3975 + 8.48796i −0.860645 + 0.445503i
\(364\) −1.00462 + 0.265284i −0.0526562 + 0.0139047i
\(365\) 2.20698i 0.115519i
\(366\) −3.89942 17.7832i −0.203826 0.929544i
\(367\) 18.5929 + 32.2039i 0.970544 + 1.68103i 0.693918 + 0.720054i \(0.255883\pi\)
0.276626 + 0.960978i \(0.410784\pi\)
\(368\) −3.32595 + 5.76071i −0.173377 + 0.300298i
\(369\) 3.87067 + 22.5599i 0.201499 + 1.17442i
\(370\) 2.97947 0.798347i 0.154895 0.0415041i
\(371\) 1.01540 0.272076i 0.0527171 0.0141255i
\(372\) 2.41782 + 0.768472i 0.125358 + 0.0398434i
\(373\) 3.94412 6.83141i 0.204219 0.353717i −0.745665 0.666321i \(-0.767868\pi\)
0.949883 + 0.312604i \(0.101201\pi\)
\(374\) −1.63151 2.82586i −0.0843635 0.146122i
\(375\) −7.35224 + 1.61216i −0.379668 + 0.0832518i
\(376\) 5.25803i 0.271162i
\(377\) 12.8693 + 7.49246i 0.662802 + 0.385881i
\(378\) 0.205726 1.48323i 0.0105814 0.0762893i
\(379\) 0.481911 1.79852i 0.0247541 0.0923837i −0.952444 0.304715i \(-0.901439\pi\)
0.977198 + 0.212331i \(0.0681055\pi\)
\(380\) −2.69906 + 1.55830i −0.138459 + 0.0799393i
\(381\) 0.0192059 0.417767i 0.000983950 0.0214029i
\(382\) −4.72046 4.72046i −0.241520 0.241520i
\(383\) 0.745523 + 2.78233i 0.0380945 + 0.142170i 0.982354 0.187032i \(-0.0598868\pi\)
−0.944259 + 0.329202i \(0.893220\pi\)
\(384\) −1.16721 1.27970i −0.0595638 0.0653043i
\(385\) −0.0526505 + 0.0526505i −0.00268332 + 0.00268332i
\(386\) 5.27801 + 3.04726i 0.268643 + 0.155101i
\(387\) −1.03710 + 11.2557i −0.0527188 + 0.572157i
\(388\) 2.59245 + 0.694645i 0.131612 + 0.0352653i
\(389\) −23.4187 −1.18738 −0.593688 0.804695i \(-0.702329\pi\)
−0.593688 + 0.804695i \(0.702329\pi\)
\(390\) 2.46302 1.26365i 0.124720 0.0639873i
\(391\) 37.2382 1.88322
\(392\) 6.68126 + 1.79024i 0.337455 + 0.0904207i
\(393\) 11.8011 + 7.55645i 0.595285 + 0.381172i
\(394\) −12.8070 7.39413i −0.645208 0.372511i
\(395\) 0.347566 0.347566i 0.0174879 0.0174879i
\(396\) −1.64040 0.605643i −0.0824332 0.0304347i
\(397\) 4.76427 + 17.7805i 0.239112 + 0.892378i 0.976252 + 0.216638i \(0.0695092\pi\)
−0.737140 + 0.675740i \(0.763824\pi\)
\(398\) 10.9463 + 10.9463i 0.548686 + 0.548686i
\(399\) −3.50570 0.161167i −0.175504 0.00806844i
\(400\) −4.15996 + 2.40175i −0.207998 + 0.120088i
\(401\) −1.75607 + 6.55376i −0.0876942 + 0.327279i −0.995811 0.0914383i \(-0.970854\pi\)
0.908117 + 0.418717i \(0.137520\pi\)
\(402\) 7.04933 + 13.6183i 0.351589 + 0.679217i
\(403\) −1.38537 + 5.09625i −0.0690100 + 0.253862i
\(404\) 14.2406i 0.708497i
\(405\) 0.311014 + 3.97735i 0.0154544 + 0.197636i
\(406\) 0.595115 + 1.03077i 0.0295351 + 0.0511562i
\(407\) 2.02800 3.51260i 0.100524 0.174113i
\(408\) −2.93705 + 9.24072i −0.145405 + 0.457484i
\(409\) −28.2895 + 7.58014i −1.39882 + 0.374814i −0.877923 0.478803i \(-0.841071\pi\)
−0.520902 + 0.853617i \(0.674404\pi\)
\(410\) −3.26690 + 0.875362i −0.161340 + 0.0432311i
\(411\) 0.0433917 0.136522i 0.00214035 0.00673412i
\(412\) −2.30452 + 3.99154i −0.113535 + 0.196649i
\(413\) 0.490946 + 0.850344i 0.0241579 + 0.0418427i
\(414\) 15.3460 12.7566i 0.754214 0.626953i
\(415\) 5.15949i 0.253269i
\(416\) 2.55874 2.54025i 0.125453 0.124546i
\(417\) 4.96960 + 9.60053i 0.243362 + 0.470140i
\(418\) −1.06067 + 3.95848i −0.0518791 + 0.193615i
\(419\) 8.00397 4.62109i 0.391020 0.225755i −0.291582 0.956546i \(-0.594182\pi\)
0.682602 + 0.730791i \(0.260848\pi\)
\(420\) 0.221026 + 0.0101612i 0.0107849 + 0.000495814i
\(421\) −18.4490 18.4490i −0.899149 0.899149i 0.0962115 0.995361i \(-0.469327\pi\)
−0.995361 + 0.0962115i \(0.969327\pi\)
\(422\) −4.86953 18.1733i −0.237045 0.884664i
\(423\) 5.46340 14.7978i 0.265640 0.719491i
\(424\) −2.57937 + 2.57937i −0.125265 + 0.125265i
\(425\) 23.2880 + 13.4453i 1.12963 + 0.652194i
\(426\) 22.4433 + 14.3709i 1.08738 + 0.696270i
\(427\) 2.92588 + 0.783987i 0.141593 + 0.0379398i
\(428\) 13.5120 0.653127
\(429\) 1.11517 3.46504i 0.0538410 0.167294i
\(430\) −1.67017 −0.0805427
\(431\) 21.6015 + 5.78811i 1.04051 + 0.278803i 0.738324 0.674446i \(-0.235617\pi\)
0.302184 + 0.953249i \(0.402284\pi\)
\(432\) 1.95521 + 4.81427i 0.0940699 + 0.231627i
\(433\) 3.41910 + 1.97402i 0.164311 + 0.0948652i 0.579901 0.814687i \(-0.303091\pi\)
−0.415589 + 0.909552i \(0.636425\pi\)
\(434\) −0.298477 + 0.298477i −0.0143274 + 0.0143274i
\(435\) −2.13692 2.34287i −0.102458 0.112332i
\(436\) 0.754701 + 2.81658i 0.0361436 + 0.134890i
\(437\) −33.0703 33.0703i −1.58197 1.58197i
\(438\) −0.396028 + 8.61440i −0.0189230 + 0.411612i
\(439\) 15.8569 9.15500i 0.756810 0.436944i −0.0713394 0.997452i \(-0.522727\pi\)
0.828149 + 0.560508i \(0.189394\pi\)
\(440\) 0.0668726 0.249572i 0.00318803 0.0118979i
\(441\) −16.9430 11.9805i −0.806810 0.570501i
\(442\) −19.4775 5.29477i −0.926450 0.251847i
\(443\) 5.86371i 0.278593i −0.990251 0.139297i \(-0.955516\pi\)
0.990251 0.139297i \(-0.0444841\pi\)
\(444\) −11.7729 + 2.58151i −0.558717 + 0.122513i
\(445\) −3.12119 5.40607i −0.147959 0.256272i
\(446\) −3.59778 + 6.23155i −0.170360 + 0.295072i
\(447\) −23.9963 7.62693i −1.13499 0.360741i
\(448\) 0.278362 0.0745867i 0.0131513 0.00352389i
\(449\) −27.5332 + 7.37750i −1.29937 + 0.348166i −0.841213 0.540704i \(-0.818158\pi\)
−0.458160 + 0.888870i \(0.651491\pi\)
\(450\) 14.2030 2.43685i 0.669535 0.114874i
\(451\) −2.22364 + 3.85145i −0.104707 + 0.181358i
\(452\) 5.20832 + 9.02108i 0.244979 + 0.424316i
\(453\) −3.35962 15.3215i −0.157849 0.719866i
\(454\) 5.36023i 0.251568i
\(455\) −0.00167052 + 0.460585i −7.83154e−5 + 0.0215925i
\(456\) 10.8148 5.59813i 0.506447 0.262156i
\(457\) −4.96154 + 18.5167i −0.232091 + 0.866175i 0.747348 + 0.664433i \(0.231327\pi\)
−0.979439 + 0.201742i \(0.935340\pi\)
\(458\) −10.1023 + 5.83254i −0.472048 + 0.272537i
\(459\) 17.8674 22.9545i 0.833979 1.07143i
\(460\) 2.08500 + 2.08500i 0.0972136 + 0.0972136i
\(461\) −7.67398 28.6397i −0.357413 1.33388i −0.877421 0.479722i \(-0.840738\pi\)
0.520007 0.854162i \(-0.325929\pi\)
\(462\) 0.214956 0.196061i 0.0100007 0.00912157i
\(463\) 18.2554 18.2554i 0.848400 0.848400i −0.141533 0.989934i \(-0.545203\pi\)
0.989934 + 0.141533i \(0.0452032\pi\)
\(464\) −3.57681 2.06507i −0.166049 0.0958687i
\(465\) 0.606431 0.947077i 0.0281226 0.0439197i
\(466\) −9.22231 2.47111i −0.427215 0.114472i
\(467\) −32.4456 −1.50140 −0.750701 0.660642i \(-0.770284\pi\)
−0.750701 + 0.660642i \(0.770284\pi\)
\(468\) −9.84056 + 4.49037i −0.454880 + 0.207567i
\(469\) −2.55139 −0.117812
\(470\) 2.25135 + 0.603246i 0.103847 + 0.0278257i
\(471\) 9.53867 14.8968i 0.439519 0.686406i
\(472\) −2.95073 1.70360i −0.135818 0.0784147i
\(473\) −1.55291 + 1.55291i −0.0714031 + 0.0714031i
\(474\) −1.41901 + 1.29427i −0.0651771 + 0.0594478i
\(475\) −8.74101 32.6219i −0.401065 1.49680i
\(476\) −1.14076 1.14076i −0.0522865 0.0522865i
\(477\) 9.93928 4.57905i 0.455088 0.209660i
\(478\) −25.2757 + 14.5929i −1.15608 + 0.667466i
\(479\) −2.14571 + 8.00792i −0.0980402 + 0.365891i −0.997463 0.0711890i \(-0.977321\pi\)
0.899423 + 0.437080i \(0.143987\pi\)
\(480\) −0.681844 + 0.352948i −0.0311218 + 0.0161098i
\(481\) −6.40570 24.2580i −0.292075 1.10607i
\(482\) 11.1539i 0.508048i
\(483\) 0.711154 + 3.24320i 0.0323586 + 0.147571i
\(484\) 5.33013 + 9.23205i 0.242279 + 0.419639i
\(485\) 0.594856 1.03032i 0.0270110 0.0467845i
\(486\) −0.500258 15.5804i −0.0226921 0.706743i
\(487\) −31.0359 + 8.31604i −1.40637 + 0.376836i −0.880628 0.473808i \(-0.842879\pi\)
−0.525742 + 0.850644i \(0.676212\pi\)
\(488\) −10.1529 + 2.72047i −0.459601 + 0.123150i
\(489\) 22.9117 + 7.28219i 1.03610 + 0.329312i
\(490\) 1.53306 2.65534i 0.0692567 0.119956i
\(491\) −13.2100 22.8803i −0.596157 1.03257i −0.993383 0.114853i \(-0.963360\pi\)
0.397226 0.917721i \(-0.369973\pi\)
\(492\) 12.9086 2.83054i 0.581965 0.127611i
\(493\) 23.1211i 1.04132i
\(494\) 12.5953 + 21.9996i 0.566690 + 0.989809i
\(495\) −0.447520 + 0.632890i −0.0201145 + 0.0284463i
\(496\) 0.379103 1.41483i 0.0170222 0.0635277i
\(497\) −3.84001 + 2.21703i −0.172248 + 0.0994475i
\(498\) 0.925838 20.1388i 0.0414878 0.902442i
\(499\) −9.27427 9.27427i −0.415173 0.415173i 0.468363 0.883536i \(-0.344844\pi\)
−0.883536 + 0.468363i \(0.844844\pi\)
\(500\) 1.12474 + 4.19759i 0.0503000 + 0.187722i
\(501\) 15.6543 + 17.1630i 0.699384 + 0.766788i
\(502\) 3.16043 3.16043i 0.141057 0.141057i
\(503\) −26.4513 15.2717i −1.17941 0.680931i −0.223529 0.974697i \(-0.571758\pi\)
−0.955877 + 0.293767i \(0.905091\pi\)
\(504\) −0.860896 0.0793233i −0.0383474 0.00353334i
\(505\) 6.09744 + 1.63380i 0.271332 + 0.0727033i
\(506\) 3.87724 0.172364
\(507\) −10.2056 20.0710i −0.453247 0.891385i
\(508\) −0.241453 −0.0107127
\(509\) 23.0380 + 6.17302i 1.02114 + 0.273614i 0.730278 0.683150i \(-0.239390\pi\)
0.290865 + 0.956764i \(0.406057\pi\)
\(510\) 3.61966 + 2.31774i 0.160281 + 0.102631i
\(511\) −1.24256 0.717395i −0.0549678 0.0317357i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −36.2529 + 4.51773i −1.60060 + 0.199463i
\(514\) −3.09245 11.5412i −0.136402 0.509060i
\(515\) 1.44467 + 1.44467i 0.0636599 + 0.0636599i
\(516\) 6.51910 + 0.299701i 0.286987 + 0.0131936i
\(517\) 2.65418 1.53239i 0.116731 0.0673946i
\(518\) 0.519017 1.93700i 0.0228043 0.0851069i
\(519\) 0.877598 + 1.69539i 0.0385223 + 0.0744193i
\(520\) −0.794103 1.38702i −0.0348237 0.0608249i
\(521\) 42.5422i 1.86381i 0.362704 + 0.931904i \(0.381854\pi\)
−0.362704 + 0.931904i \(0.618146\pi\)
\(522\) 7.92054 + 9.52828i 0.346673 + 0.417042i
\(523\) 17.0400 + 29.5141i 0.745107 + 1.29056i 0.950145 + 0.311809i \(0.100935\pi\)
−0.205037 + 0.978754i \(0.565732\pi\)
\(524\) 4.04522 7.00652i 0.176716 0.306081i
\(525\) −0.726259 + 2.28500i −0.0316965 + 0.0997257i
\(526\) −2.65746 + 0.712065i −0.115871 + 0.0310475i
\(527\) −7.92040 + 2.12227i −0.345018 + 0.0924473i
\(528\) −0.305805 + 0.962144i −0.0133085 + 0.0418719i
\(529\) −10.6239 + 18.4011i −0.461908 + 0.800048i
\(530\) 0.808489 + 1.40034i 0.0351185 + 0.0608271i
\(531\) 6.53413 + 7.86045i 0.283557 + 0.341115i
\(532\) 2.02615i 0.0878449i
\(533\) 7.02365 + 26.5981i 0.304228 + 1.15209i
\(534\) 11.2127 + 21.6613i 0.485222 + 0.937378i
\(535\) 1.55021 5.78547i 0.0670215 0.250128i
\(536\) 7.66730 4.42672i 0.331177 0.191205i
\(537\) −9.68155 0.445088i −0.417790 0.0192070i
\(538\) 4.41254 + 4.41254i 0.190238 + 0.190238i
\(539\) −1.04349 3.89436i −0.0449463 0.167742i
\(540\) 2.28566 0.284832i 0.0983590 0.0122572i
\(541\) 18.5013 18.5013i 0.795434 0.795434i −0.186938 0.982372i \(-0.559856\pi\)
0.982372 + 0.186938i \(0.0598564\pi\)
\(542\) −19.3711 11.1839i −0.832060 0.480390i
\(543\) 21.1048 + 13.5138i 0.905693 + 0.579932i
\(544\) 5.40738 + 1.44890i 0.231839 + 0.0621212i
\(545\) 1.29257 0.0553676
\(546\) 0.0891695 1.79748i 0.00381610 0.0769250i
\(547\) 39.5058 1.68915 0.844573 0.535440i \(-0.179854\pi\)
0.844573 + 0.535440i \(0.179854\pi\)
\(548\) −0.0798882 0.0214060i −0.00341265 0.000914418i
\(549\) 31.4002 + 2.89323i 1.34013 + 0.123480i
\(550\) 2.42475 + 1.39993i 0.103391 + 0.0596931i
\(551\) 20.5332 20.5332i 0.874746 0.874746i
\(552\) −7.76415 8.51242i −0.330464 0.362313i
\(553\) −0.0827063 0.308664i −0.00351703 0.0131257i
\(554\) −3.95865 3.95865i −0.168187 0.168187i
\(555\) −0.245357 + 5.33701i −0.0104148 + 0.226543i
\(556\) 5.40526 3.12073i 0.229234 0.132348i
\(557\) −4.08768 + 15.2554i −0.173201 + 0.646394i 0.823650 + 0.567098i \(0.191934\pi\)
−0.996851 + 0.0792958i \(0.974733\pi\)
\(558\) −2.53700 + 3.58786i −0.107400 + 0.151886i
\(559\) −0.0492717 + 13.5848i −0.00208397 + 0.574577i
\(560\) 0.127744i 0.00539817i
\(561\) 5.52056 1.21052i 0.233078 0.0511083i
\(562\) −6.24284 10.8129i −0.263338 0.456115i
\(563\) −10.6906 + 18.5166i −0.450555 + 0.780383i −0.998421 0.0561827i \(-0.982107\pi\)
0.547866 + 0.836566i \(0.315440\pi\)
\(564\) −8.67933 2.75862i −0.365466 0.116159i
\(565\) 4.46012 1.19509i 0.187639 0.0502777i
\(566\) −6.62502 + 1.77517i −0.278470 + 0.0746159i
\(567\) 2.34041 + 1.11776i 0.0982880 + 0.0469416i
\(568\) 7.69319 13.3250i 0.322799 0.559105i
\(569\) −14.5203 25.1500i −0.608725 1.05434i −0.991451 0.130480i \(-0.958348\pi\)
0.382726 0.923862i \(-0.374985\pi\)
\(570\) −1.15621 5.27285i −0.0484281 0.220855i
\(571\) 9.91137i 0.414778i 0.978259 + 0.207389i \(0.0664966\pi\)
−0.978259 + 0.207389i \(0.933503\pi\)
\(572\) −2.02800 0.551292i −0.0847948 0.0230507i
\(573\) 10.2685 5.31539i 0.428974 0.222054i
\(574\) −0.569086 + 2.12386i −0.0237532 + 0.0886481i
\(575\) −27.6716 + 15.9762i −1.15399 + 0.666254i
\(576\) 2.72474 1.25529i 0.113531 0.0523040i
\(577\) −4.91283 4.91283i −0.204524 0.204524i 0.597411 0.801935i \(-0.296196\pi\)
−0.801935 + 0.597411i \(0.796196\pi\)
\(578\) −3.71122 13.8505i −0.154366 0.576104i
\(579\) −7.79914 + 7.11356i −0.324121 + 0.295630i
\(580\) −1.29457 + 1.29457i −0.0537541 + 0.0537541i
\(581\) 2.90488 + 1.67713i 0.120515 + 0.0695791i
\(582\) −2.50676 + 3.91486i −0.103909 + 0.162276i
\(583\) 2.05376 + 0.550304i 0.0850581 + 0.0227913i
\(584\) 4.97878 0.206023
\(585\) 0.793660 + 4.72863i 0.0328138 + 0.195505i
\(586\) 27.3553 1.13004
\(587\) 23.2001 + 6.21644i 0.957569 + 0.256580i 0.703571 0.710625i \(-0.251588\pi\)
0.253998 + 0.967205i \(0.418254\pi\)
\(588\) −6.46042 + 10.0894i −0.266423 + 0.416079i
\(589\) 8.91863 + 5.14917i 0.367486 + 0.212168i
\(590\) −1.06797 + 1.06797i −0.0439676 + 0.0439676i
\(591\) 18.9245 17.2610i 0.778450 0.710021i
\(592\) 1.80101 + 6.72147i 0.0740211 + 0.276251i
\(593\) 22.0744 + 22.0744i 0.906489 + 0.906489i 0.995987 0.0894984i \(-0.0285264\pi\)
−0.0894984 + 0.995987i \(0.528526\pi\)
\(594\) 1.86036 2.39003i 0.0763313 0.0980639i
\(595\) −0.619319 + 0.357564i −0.0253896 + 0.0146587i
\(596\) −3.76251 + 14.0419i −0.154119 + 0.575178i
\(597\) −23.8117 + 12.3258i −0.974548 + 0.504463i
\(598\) 17.0205 16.8975i 0.696019 0.690989i
\(599\) 35.2538i 1.44043i −0.693750 0.720216i \(-0.744043\pi\)
0.693750 0.720216i \(-0.255957\pi\)
\(600\) −1.78201 8.12683i −0.0727504 0.331777i
\(601\) −10.0883 17.4735i −0.411512 0.712759i 0.583544 0.812082i \(-0.301666\pi\)
−0.995055 + 0.0993227i \(0.968332\pi\)
\(602\) −0.542901 + 0.940332i −0.0221270 + 0.0383251i
\(603\) −26.1778 + 4.49140i −1.06604 + 0.182904i
\(604\) −8.74745 + 2.34387i −0.355929 + 0.0953708i
\(605\) 4.56443 1.22304i 0.185570 0.0497234i
\(606\) −23.5067 7.47130i −0.954894 0.303501i
\(607\) 2.42837 4.20607i 0.0985647 0.170719i −0.812526 0.582925i \(-0.801908\pi\)
0.911091 + 0.412206i \(0.135242\pi\)
\(608\) −3.51542 6.08888i −0.142569 0.246937i
\(609\) −2.01370 + 0.441554i −0.0815991 + 0.0178927i
\(610\) 4.65932i 0.188650i
\(611\) 4.97311 18.2942i 0.201190 0.740105i
\(612\) −13.7126 9.69625i −0.554297 0.391948i
\(613\) −0.235455 + 0.878731i −0.00950994 + 0.0354916i −0.970518 0.241030i \(-0.922515\pi\)
0.961008 + 0.276521i \(0.0891816\pi\)
\(614\) −18.9675 + 10.9509i −0.765465 + 0.441941i
\(615\) 0.269026 5.85186i 0.0108482 0.235970i
\(616\) −0.118776 0.118776i −0.00478561 0.00478561i
\(617\) 11.6445 + 43.4580i 0.468792 + 1.74956i 0.644002 + 0.765024i \(0.277273\pi\)
−0.175210 + 0.984531i \(0.556060\pi\)
\(618\) −5.37969 5.89817i −0.216403 0.237259i
\(619\) 11.7433 11.7433i 0.472003 0.472003i −0.430559 0.902562i \(-0.641684\pi\)
0.902562 + 0.430559i \(0.141684\pi\)
\(620\) −0.562298 0.324643i −0.0225824 0.0130380i
\(621\) 13.0058 + 32.0240i 0.521906 + 1.28508i
\(622\) 30.7176 + 8.23077i 1.23167 + 0.330024i
\(623\) −4.05827 −0.162591
\(624\) 2.85070 + 5.55640i 0.114119 + 0.222434i
\(625\) −22.0912 −0.883648
\(626\) −22.9334 6.14498i −0.916602 0.245603i
\(627\) −5.97770 3.82763i −0.238726 0.152861i
\(628\) −8.84449 5.10637i −0.352933 0.203766i
\(629\) 27.5454 27.5454i 1.09831 1.09831i
\(630\) −0.132733 + 0.359512i −0.00528823 + 0.0143233i
\(631\) 9.44656 + 35.2551i 0.376062 + 1.40348i 0.851787 + 0.523888i \(0.175519\pi\)
−0.475725 + 0.879594i \(0.657814\pi\)
\(632\) 0.784083 + 0.784083i 0.0311891 + 0.0311891i
\(633\) 32.5531 + 1.49656i 1.29387 + 0.0594829i
\(634\) 20.6904 11.9456i 0.821720 0.474420i
\(635\) −0.0277015 + 0.103384i −0.00109930 + 0.00410265i
\(636\) −2.90446 5.61098i −0.115169 0.222490i
\(637\) −21.5528 12.5480i −0.853953 0.497168i
\(638\) 2.40737i 0.0953087i
\(639\) −35.4965 + 29.5070i −1.40422 + 1.16728i
\(640\) 0.221638 + 0.383889i 0.00876103 + 0.0151745i
\(641\) −0.424453 + 0.735175i −0.0167649 + 0.0290377i −0.874286 0.485411i \(-0.838670\pi\)
0.857521 + 0.514449i \(0.172003\pi\)
\(642\) −7.08904 + 22.3040i −0.279782 + 0.880269i
\(643\) −16.6824 + 4.47005i −0.657891 + 0.176281i −0.572294 0.820048i \(-0.693946\pi\)
−0.0855970 + 0.996330i \(0.527280\pi\)
\(644\) 1.85163 0.496144i 0.0729646 0.0195508i
\(645\) 0.876250 2.75692i 0.0345023 0.108553i
\(646\) −19.6798 + 34.0864i −0.774290 + 1.34111i
\(647\) 7.87623 + 13.6420i 0.309646 + 0.536323i 0.978285 0.207264i \(-0.0664560\pi\)
−0.668639 + 0.743588i \(0.733123\pi\)
\(648\) −8.97261 + 0.701625i −0.352477 + 0.0275624i
\(649\) 1.98598i 0.0779567i
\(650\) 16.7453 4.42186i 0.656804 0.173439i
\(651\) −0.336095 0.649285i −0.0131726 0.0254475i
\(652\) 3.59245 13.4072i 0.140691 0.525067i
\(653\) 21.3400 12.3207i 0.835099 0.482145i −0.0204964 0.999790i \(-0.506525\pi\)
0.855595 + 0.517645i \(0.173191\pi\)
\(654\) −5.04523 0.231943i −0.197284 0.00906970i
\(655\) −2.53590 2.53590i −0.0990857 0.0990857i
\(656\) −1.97475 7.36988i −0.0771011 0.287745i
\(657\) −14.0118 5.17324i −0.546654 0.201827i
\(658\) 1.07145 1.07145i 0.0417697 0.0417697i
\(659\) −15.3411 8.85721i −0.597606 0.345028i 0.170493 0.985359i \(-0.445464\pi\)
−0.768099 + 0.640331i \(0.778797\pi\)
\(660\) 0.376879 + 0.241323i 0.0146700 + 0.00939348i
\(661\) −9.15665 2.45352i −0.356153 0.0954308i 0.0763064 0.997084i \(-0.475687\pi\)
−0.432459 + 0.901654i \(0.642354\pi\)
\(662\) 16.4877 0.640813
\(663\) 18.9588 29.3732i 0.736299 1.14076i
\(664\) −11.6394 −0.451697
\(665\) 0.867544 + 0.232458i 0.0336419 + 0.00901432i
\(666\) 1.91538 20.7877i 0.0742196 0.805506i
\(667\) −23.7926 13.7367i −0.921253 0.531886i
\(668\) 9.48357 9.48357i 0.366930 0.366930i
\(669\) −8.39872 9.20816i −0.324713 0.356008i
\(670\) −1.01574 3.79080i −0.0392415 0.146451i
\(671\) 4.33221 + 4.33221i 0.167243 + 0.167243i
\(672\) −0.0229229 + 0.498618i −0.000884268 + 0.0192346i
\(673\) −0.150089 + 0.0866536i −0.00578549 + 0.00334025i −0.502890 0.864350i \(-0.667730\pi\)
0.497104 + 0.867691i \(0.334397\pi\)
\(674\) 0.840764 3.13777i 0.0323850 0.120862i
\(675\) −3.42911 + 24.7231i −0.131986 + 0.951591i
\(676\) −11.3052 + 6.41816i −0.434815 + 0.246852i
\(677\) 2.12205i 0.0815568i 0.999168 + 0.0407784i \(0.0129838\pi\)
−0.999168 + 0.0407784i \(0.987016\pi\)
\(678\) −17.6235 + 3.86439i −0.676825 + 0.148411i
\(679\) −0.386725 0.669827i −0.0148411 0.0257056i
\(680\) 1.24076 2.14906i 0.0475810 0.0824127i
\(681\) −8.84802 2.81223i −0.339057 0.107765i
\(682\) −0.824672 + 0.220970i −0.0315783 + 0.00846139i
\(683\) 30.9953 8.30516i 1.18600 0.317788i 0.388697 0.921365i \(-0.372925\pi\)
0.797305 + 0.603577i \(0.206258\pi\)
\(684\) 3.56679 + 20.7888i 0.136379 + 0.794878i
\(685\) −0.0183309 + 0.0317500i −0.000700388 + 0.00121311i
\(686\) −2.00530 3.47328i −0.0765627 0.132611i
\(687\) −4.32754 19.7356i −0.165106 0.752961i
\(688\) 3.76778i 0.143645i
\(689\) 11.4140 6.53478i 0.434838 0.248955i
\(690\) −4.53556 + 2.34778i −0.172666 + 0.0893783i
\(691\) 7.89090 29.4492i 0.300184 1.12030i −0.636829 0.771005i \(-0.719754\pi\)
0.937012 0.349296i \(-0.113579\pi\)
\(692\) 0.954532 0.551099i 0.0362858 0.0209496i
\(693\) 0.210857 + 0.457687i 0.00800980 + 0.0173861i
\(694\) −5.81113 5.81113i −0.220587 0.220587i
\(695\) −0.716073 2.67242i −0.0271622 0.101371i
\(696\) 5.28534 4.82074i 0.200340 0.182730i
\(697\) −30.2026 + 30.2026i −1.14401 + 1.14401i
\(698\) 6.93931 + 4.00641i 0.262657 + 0.151645i
\(699\) 8.91747 13.9266i 0.337290 0.526753i
\(700\) 1.33711 + 0.358278i 0.0505381 + 0.0135416i
\(701\) 1.23549 0.0466638 0.0233319 0.999728i \(-0.492573\pi\)
0.0233319 + 0.999728i \(0.492573\pi\)
\(702\) −2.24934 18.5995i −0.0848957 0.701992i
\(703\) −48.9246 −1.84523
\(704\) 0.563016 + 0.150860i 0.0212195 + 0.00568574i
\(705\) −2.17693 + 3.39976i −0.0819879 + 0.128042i
\(706\) 2.42107 + 1.39781i 0.0911182 + 0.0526071i
\(707\) 2.90188 2.90188i 0.109136 0.109136i
\(708\) 4.36020 3.97692i 0.163866 0.149462i
\(709\) 4.09728 + 15.2913i 0.153877 + 0.574276i 0.999199 + 0.0400188i \(0.0127418\pi\)
−0.845322 + 0.534257i \(0.820592\pi\)
\(710\) −4.82277 4.82277i −0.180995 0.180995i
\(711\) −1.39195 3.02136i −0.0522021 0.113310i
\(712\) 12.1957 7.04118i 0.457053 0.263879i
\(713\) 2.52175 9.41131i 0.0944404 0.352456i
\(714\) 2.48152 1.28453i 0.0928686 0.0480723i
\(715\) −0.468717 + 0.805084i −0.0175290 + 0.0301084i
\(716\) 5.59555i 0.209115i
\(717\) −10.8274 49.3783i −0.404358 1.84407i
\(718\) 8.24000 + 14.2721i 0.307514 + 0.532630i
\(719\) −1.55033 + 2.68525i −0.0578176 + 0.100143i −0.893486 0.449092i \(-0.851748\pi\)
0.835668 + 0.549235i \(0.185081\pi\)
\(720\) −0.224877 1.31068i −0.00838067 0.0488461i
\(721\) 1.28298 0.343773i 0.0477806 0.0128028i
\(722\) 29.3957 7.87656i 1.09400 0.293135i
\(723\) 18.4116 + 5.85188i 0.684734 + 0.217634i
\(724\) 7.23437 12.5303i 0.268863 0.465685i
\(725\) −9.91959 17.1812i −0.368404 0.638095i
\(726\) −18.0356 + 3.95476i −0.669364 + 0.146775i
\(727\) 20.0877i 0.745011i −0.928030 0.372506i \(-0.878499\pi\)
0.928030 0.372506i \(-0.121501\pi\)
\(728\) −1.03904 0.00376858i −0.0385096 0.000139673i
\(729\) 25.9808 + 7.34847i 0.962250 + 0.272166i
\(730\) 0.571208 2.13178i 0.0211414 0.0789006i
\(731\) −18.2667 + 10.5463i −0.675617 + 0.390067i
\(732\) 0.836085 18.1865i 0.0309026 0.672193i
\(733\) 35.4832 + 35.4832i 1.31060 + 1.31060i 0.920972 + 0.389628i \(0.127396\pi\)
0.389628 + 0.920972i \(0.372604\pi\)
\(734\) 9.62442 + 35.9188i 0.355244 + 1.32579i
\(735\) 3.57880 + 3.92371i 0.132006 + 0.144728i
\(736\) −4.70360 + 4.70360i −0.173377 + 0.173377i
\(737\) −4.46910 2.58023i −0.164621 0.0950442i
\(738\) −2.10016 + 22.7930i −0.0773078 + 0.839023i
\(739\) −22.4899 6.02615i −0.827305 0.221676i −0.179767 0.983709i \(-0.557534\pi\)
−0.647538 + 0.762034i \(0.724201\pi\)
\(740\) 3.08458 0.113391
\(741\) −42.9224 + 9.24879i −1.57679 + 0.339763i
\(742\) 1.05122 0.0385916
\(743\) −25.8872 6.93645i −0.949709 0.254474i −0.249470 0.968382i \(-0.580257\pi\)
−0.700239 + 0.713909i \(0.746923\pi\)
\(744\) 2.13654 + 1.36806i 0.0783292 + 0.0501557i
\(745\) 5.58069 + 3.22201i 0.204461 + 0.118045i
\(746\) 5.57782 5.57782i 0.204219 0.204219i
\(747\) 32.7570 + 12.0940i 1.19852 + 0.442498i
\(748\) −0.844533 3.15184i −0.0308792 0.115243i
\(749\) −2.75341 2.75341i −0.100607 0.100607i
\(750\) −7.51898 0.345668i −0.274554 0.0126220i
\(751\) −15.4295 + 8.90822i −0.563030 + 0.325065i −0.754361 0.656460i \(-0.772053\pi\)
0.191331 + 0.981526i \(0.438720\pi\)
\(752\) −1.36088 + 5.07887i −0.0496262 + 0.185207i
\(753\) 3.55874 + 6.87496i 0.129688 + 0.250537i
\(754\) 10.4916 + 10.5680i 0.382081 + 0.384863i
\(755\) 4.01433i 0.146096i
\(756\) 0.582605 1.37945i 0.0211891 0.0501700i
\(757\) −12.3906 21.4612i −0.450345 0.780020i 0.548062 0.836438i \(-0.315366\pi\)
−0.998407 + 0.0564171i \(0.982032\pi\)
\(758\) 0.930981 1.61251i 0.0338148 0.0585689i
\(759\) −2.03419 + 6.40009i −0.0738363 + 0.232308i
\(760\) −3.01041 + 0.806638i −0.109199 + 0.0292598i
\(761\) −14.6883 + 3.93572i −0.532451 + 0.142670i −0.515020 0.857178i \(-0.672215\pi\)
−0.0174313 + 0.999848i \(0.505549\pi\)
\(762\) 0.126678 0.398562i 0.00458905 0.0144384i
\(763\) 0.420159 0.727738i 0.0152108 0.0263459i
\(764\) −3.33787 5.78136i −0.120760 0.209162i
\(765\) −5.72489 + 4.75891i −0.206984 + 0.172059i
\(766\) 2.88048i 0.104076i
\(767\) 8.65515 + 8.71816i 0.312519 + 0.314794i
\(768\) −0.796225 1.53819i −0.0287313 0.0555046i
\(769\) 4.74330 17.7022i 0.171048 0.638359i −0.826143 0.563460i \(-0.809470\pi\)
0.997191 0.0748992i \(-0.0238635\pi\)