Properties

Label 507.2.t.b.10.4
Level $507$
Weight $2$
Character 507.10
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 10.4
Character \(\chi\) \(=\) 507.10
Dual form 507.2.t.b.355.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.49980 - 0.306186i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(0.315692 + 0.134504i) q^{4} +(-0.217058 + 0.880640i) q^{5} +(1.52949 + 0.0616365i) q^{6} +(0.786387 - 0.373145i) q^{7} +(2.08725 + 1.44072i) q^{8} +(0.948536 - 0.316668i) q^{9} +O(q^{10})\) \(q+(-1.49980 - 0.306186i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(0.315692 + 0.134504i) q^{4} +(-0.217058 + 0.880640i) q^{5} +(1.52949 + 0.0616365i) q^{6} +(0.786387 - 0.373145i) q^{7} +(2.08725 + 1.44072i) q^{8} +(0.948536 - 0.316668i) q^{9} +(0.595184 - 1.25432i) q^{10} +(-0.216875 + 0.649619i) q^{11} +(-0.333180 - 0.0821214i) q^{12} +(-2.69460 - 2.39565i) q^{13} +(-1.29368 + 0.318862i) q^{14} +(0.0729828 - 0.904054i) q^{15} +(-3.16475 - 3.29485i) q^{16} +(-1.35460 - 2.85477i) q^{17} +(-1.51957 + 0.184510i) q^{18} +(-2.27071 - 1.31100i) q^{19} +(-0.186973 + 0.248816i) q^{20} +(-0.716347 + 0.494459i) q^{21} +(0.524174 - 0.907895i) q^{22} +(4.63702 + 8.03156i) q^{23} +(-2.29133 - 1.08725i) q^{24} +(3.69887 + 1.94132i) q^{25} +(3.30785 + 4.41804i) q^{26} +(-0.885456 + 0.464723i) q^{27} +(0.298446 - 0.0120269i) q^{28} +(-1.59035 + 7.79004i) q^{29} +(-0.386269 + 1.33355i) q^{30} +(-0.146755 - 0.279618i) q^{31} +(1.02663 + 1.62348i) q^{32} +(0.109860 - 0.675996i) q^{33} +(1.15754 + 4.69634i) q^{34} +(0.157915 + 0.773518i) q^{35} +(0.342038 + 0.0276122i) q^{36} +(-2.64286 + 4.17935i) q^{37} +(3.00420 + 2.66149i) q^{38} +(3.04400 + 1.93238i) q^{39} +(-1.72181 + 1.52539i) q^{40} +(1.21950 + 7.50390i) q^{41} +(1.22577 - 0.522254i) q^{42} +(0.806242 - 0.509837i) q^{43} +(-0.155842 + 0.175909i) q^{44} +(0.0729828 + 0.904054i) q^{45} +(-4.49546 - 13.4655i) q^{46} +(-6.00539 - 0.729187i) q^{47} +(3.65229 + 2.74452i) q^{48} +(-3.94795 + 4.83536i) q^{49} +(-4.95316 - 4.04413i) q^{50} +(1.79500 + 2.60051i) q^{51} +(-0.528441 - 1.11872i) q^{52} +(0.296634 - 0.429748i) q^{53} +(1.47030 - 0.425877i) q^{54} +(-0.525006 - 0.331994i) q^{55} +(2.17899 + 0.354120i) q^{56} +(2.45160 + 0.929771i) q^{57} +(4.77041 - 11.1966i) q^{58} +(9.80531 + 9.41813i) q^{59} +(0.144639 - 0.275586i) q^{60} +(-6.60451 + 0.533171i) q^{61} +(0.134488 + 0.464306i) q^{62} +(0.627754 - 0.602966i) q^{63} +(2.19741 + 5.79410i) q^{64} +(2.69459 - 1.85298i) q^{65} +(-0.371749 + 0.980222i) q^{66} +(3.39819 + 7.97585i) q^{67} +(-0.0436606 - 1.08343i) q^{68} +(-5.86533 - 7.18373i) q^{69} -1.20847i q^{70} +(-2.47011 + 2.01678i) q^{71} +(2.43606 + 0.705614i) q^{72} +(0.513272 + 0.579364i) q^{73} +(5.24342 - 5.45898i) q^{74} +(-3.96238 - 1.32284i) q^{75} +(-0.540511 - 0.719290i) q^{76} +(0.0718549 + 0.591778i) q^{77} +(-3.97372 - 3.83021i) q^{78} +(1.41139 - 11.6238i) q^{79} +(3.58851 - 2.07183i) q^{80} +(0.799443 - 0.600742i) q^{81} +(0.468582 - 11.6277i) q^{82} +(-8.68714 + 3.29460i) q^{83} +(-0.292651 + 0.0597452i) q^{84} +(2.80805 - 0.573267i) q^{85} +(-1.36531 + 0.517793i) q^{86} +(0.320143 - 7.94427i) q^{87} +(-1.38859 + 1.04346i) q^{88} +(-15.1749 + 8.76121i) q^{89} +(0.167349 - 1.37825i) q^{90} +(-3.01293 - 0.878426i) q^{91} +(0.383596 + 3.15920i) q^{92} +(0.189708 + 0.252456i) q^{93} +(8.78362 + 2.93240i) q^{94} +(1.64739 - 1.71512i) q^{95} +(-1.27376 - 1.43777i) q^{96} +(6.54695 + 1.89635i) q^{97} +(7.40166 - 6.04327i) q^{98} +0.684865i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{78}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.49980 0.306186i −1.06052 0.216506i −0.362059 0.932155i \(-0.617926\pi\)
−0.698460 + 0.715649i \(0.746131\pi\)
\(3\) −0.987050 + 0.160411i −0.569874 + 0.0926135i
\(4\) 0.315692 + 0.134504i 0.157846 + 0.0672519i
\(5\) −0.217058 + 0.880640i −0.0970714 + 0.393834i −0.999299 0.0374252i \(-0.988084\pi\)
0.902228 + 0.431259i \(0.141931\pi\)
\(6\) 1.52949 + 0.0616365i 0.624413 + 0.0251630i
\(7\) 0.786387 0.373145i 0.297226 0.141036i −0.274240 0.961661i \(-0.588426\pi\)
0.571466 + 0.820626i \(0.306375\pi\)
\(8\) 2.08725 + 1.44072i 0.737954 + 0.509373i
\(9\) 0.948536 0.316668i 0.316179 0.105556i
\(10\) 0.595184 1.25432i 0.188214 0.396652i
\(11\) −0.216875 + 0.649619i −0.0653902 + 0.195868i −0.976162 0.217042i \(-0.930359\pi\)
0.910772 + 0.412909i \(0.135487\pi\)
\(12\) −0.333180 0.0821214i −0.0961807 0.0237064i
\(13\) −2.69460 2.39565i −0.747348 0.664432i
\(14\) −1.29368 + 0.318862i −0.345749 + 0.0852196i
\(15\) 0.0729828 0.904054i 0.0188441 0.233426i
\(16\) −3.16475 3.29485i −0.791186 0.823712i
\(17\) −1.35460 2.85477i −0.328540 0.692383i 0.670221 0.742162i \(-0.266200\pi\)
−0.998760 + 0.0497792i \(0.984148\pi\)
\(18\) −1.51957 + 0.184510i −0.358167 + 0.0434894i
\(19\) −2.27071 1.31100i −0.520937 0.300763i 0.216381 0.976309i \(-0.430575\pi\)
−0.737318 + 0.675546i \(0.763908\pi\)
\(20\) −0.186973 + 0.248816i −0.0418084 + 0.0556369i
\(21\) −0.716347 + 0.494459i −0.156320 + 0.107900i
\(22\) 0.524174 0.907895i 0.111754 0.193564i
\(23\) 4.63702 + 8.03156i 0.966887 + 1.67470i 0.704459 + 0.709745i \(0.251190\pi\)
0.262428 + 0.964952i \(0.415477\pi\)
\(24\) −2.29133 1.08725i −0.467716 0.221934i
\(25\) 3.69887 + 1.94132i 0.739774 + 0.388263i
\(26\) 3.30785 + 4.41804i 0.648723 + 0.866449i
\(27\) −0.885456 + 0.464723i −0.170406 + 0.0894360i
\(28\) 0.298446 0.0120269i 0.0564009 0.00227288i
\(29\) −1.59035 + 7.79004i −0.295320 + 1.44657i 0.513283 + 0.858219i \(0.328429\pi\)
−0.808603 + 0.588354i \(0.799776\pi\)
\(30\) −0.386269 + 1.33355i −0.0705227 + 0.243473i
\(31\) −0.146755 0.279618i −0.0263580 0.0502209i 0.871921 0.489647i \(-0.162874\pi\)
−0.898279 + 0.439426i \(0.855182\pi\)
\(32\) 1.02663 + 1.62348i 0.181484 + 0.286993i
\(33\) 0.109860 0.675996i 0.0191242 0.117676i
\(34\) 1.15754 + 4.69634i 0.198517 + 0.805416i
\(35\) 0.157915 + 0.773518i 0.0266925 + 0.130748i
\(36\) 0.342038 + 0.0276122i 0.0570064 + 0.00460203i
\(37\) −2.64286 + 4.17935i −0.434483 + 0.687080i −0.989463 0.144783i \(-0.953751\pi\)
0.554980 + 0.831864i \(0.312726\pi\)
\(38\) 3.00420 + 2.66149i 0.487346 + 0.431751i
\(39\) 3.04400 + 1.93238i 0.487430 + 0.309428i
\(40\) −1.72181 + 1.52539i −0.272243 + 0.241186i
\(41\) 1.21950 + 7.50390i 0.190454 + 1.17191i 0.889534 + 0.456869i \(0.151029\pi\)
−0.699080 + 0.715044i \(0.746407\pi\)
\(42\) 1.22577 0.522254i 0.189141 0.0805855i
\(43\) 0.806242 0.509837i 0.122951 0.0777494i −0.471575 0.881826i \(-0.656314\pi\)
0.594526 + 0.804077i \(0.297340\pi\)
\(44\) −0.155842 + 0.175909i −0.0234940 + 0.0265193i
\(45\) 0.0729828 + 0.904054i 0.0108796 + 0.134768i
\(46\) −4.49546 13.4655i −0.662819 1.98538i
\(47\) −6.00539 0.729187i −0.875977 0.106363i −0.329818 0.944045i \(-0.606987\pi\)
−0.546159 + 0.837682i \(0.683910\pi\)
\(48\) 3.65229 + 2.74452i 0.527163 + 0.396137i
\(49\) −3.94795 + 4.83536i −0.563993 + 0.690766i
\(50\) −4.95316 4.04413i −0.700482 0.571926i
\(51\) 1.79500 + 2.60051i 0.251350 + 0.364144i
\(52\) −0.528441 1.11872i −0.0732816 0.155139i
\(53\) 0.296634 0.429748i 0.0407458 0.0590304i −0.802082 0.597215i \(-0.796274\pi\)
0.842827 + 0.538184i \(0.180889\pi\)
\(54\) 1.47030 0.425877i 0.200082 0.0579546i
\(55\) −0.525006 0.331994i −0.0707918 0.0447660i
\(56\) 2.17899 + 0.354120i 0.291179 + 0.0473212i
\(57\) 2.45160 + 0.929771i 0.324723 + 0.123151i
\(58\) 4.77041 11.1966i 0.626385 1.47018i
\(59\) 9.80531 + 9.41813i 1.27654 + 1.22614i 0.960784 + 0.277297i \(0.0894384\pi\)
0.315759 + 0.948840i \(0.397741\pi\)
\(60\) 0.144639 0.275586i 0.0186728 0.0355780i
\(61\) −6.60451 + 0.533171i −0.845621 + 0.0682656i −0.495679 0.868506i \(-0.665081\pi\)
−0.349942 + 0.936771i \(0.613799\pi\)
\(62\) 0.134488 + 0.464306i 0.0170800 + 0.0589669i
\(63\) 0.627754 0.602966i 0.0790895 0.0759665i
\(64\) 2.19741 + 5.79410i 0.274677 + 0.724263i
\(65\) 2.69459 1.85298i 0.334222 0.229834i
\(66\) −0.371749 + 0.980222i −0.0457591 + 0.120657i
\(67\) 3.39819 + 7.97585i 0.415155 + 0.974405i 0.987959 + 0.154713i \(0.0494453\pi\)
−0.572804 + 0.819692i \(0.694144\pi\)
\(68\) −0.0436606 1.08343i −0.00529462 0.131385i
\(69\) −5.86533 7.18373i −0.706103 0.864819i
\(70\) 1.20847i 0.144440i
\(71\) −2.47011 + 2.01678i −0.293148 + 0.239348i −0.767594 0.640937i \(-0.778546\pi\)
0.474446 + 0.880285i \(0.342649\pi\)
\(72\) 2.43606 + 0.705614i 0.287093 + 0.0831575i
\(73\) 0.513272 + 0.579364i 0.0600739 + 0.0678095i 0.777779 0.628537i \(-0.216346\pi\)
−0.717706 + 0.696347i \(0.754808\pi\)
\(74\) 5.24342 5.45898i 0.609535 0.634593i
\(75\) −3.96238 1.32284i −0.457536 0.152748i
\(76\) −0.540511 0.719290i −0.0620009 0.0825082i
\(77\) 0.0718549 + 0.591778i 0.00818862 + 0.0674394i
\(78\) −3.97372 3.83021i −0.449935 0.433686i
\(79\) 1.41139 11.6238i 0.158794 1.30778i −0.667529 0.744584i \(-0.732648\pi\)
0.826322 0.563198i \(-0.190429\pi\)
\(80\) 3.58851 2.07183i 0.401207 0.231637i
\(81\) 0.799443 0.600742i 0.0888270 0.0667491i
\(82\) 0.468582 11.6277i 0.0517462 1.28407i
\(83\) −8.68714 + 3.29460i −0.953537 + 0.361629i −0.781811 0.623516i \(-0.785704\pi\)
−0.171726 + 0.985145i \(0.554934\pi\)
\(84\) −0.292651 + 0.0597452i −0.0319309 + 0.00651874i
\(85\) 2.80805 0.573267i 0.304576 0.0621796i
\(86\) −1.36531 + 0.517793i −0.147225 + 0.0558350i
\(87\) 0.320143 7.94427i 0.0343229 0.851715i
\(88\) −1.38859 + 1.04346i −0.148025 + 0.111233i
\(89\) −15.1749 + 8.76121i −1.60853 + 0.928687i −0.618833 + 0.785522i \(0.712394\pi\)
−0.989699 + 0.143164i \(0.954272\pi\)
\(90\) 0.167349 1.37825i 0.0176402 0.145280i
\(91\) −3.01293 0.878426i −0.315840 0.0920841i
\(92\) 0.383596 + 3.15920i 0.0399926 + 0.329369i
\(93\) 0.189708 + 0.252456i 0.0196718 + 0.0261785i
\(94\) 8.78362 + 2.93240i 0.905962 + 0.302454i
\(95\) 1.64739 1.71512i 0.169019 0.175967i
\(96\) −1.27376 1.43777i −0.130002 0.146742i
\(97\) 6.54695 + 1.89635i 0.664742 + 0.192545i 0.593401 0.804907i \(-0.297785\pi\)
0.0713413 + 0.997452i \(0.477272\pi\)
\(98\) 7.40166 6.04327i 0.747680 0.610462i
\(99\) 0.684865i 0.0688315i
\(100\) 0.906588 + 1.11037i 0.0906588 + 0.111037i
\(101\) 0.108610 + 2.69513i 0.0108071 + 0.268175i 0.995555 + 0.0941860i \(0.0300248\pi\)
−0.984748 + 0.173989i \(0.944334\pi\)
\(102\) −1.89590 4.44984i −0.187722 0.440600i
\(103\) 3.47481 9.16233i 0.342384 0.902792i −0.647647 0.761940i \(-0.724247\pi\)
0.990031 0.140851i \(-0.0449839\pi\)
\(104\) −2.17284 8.88249i −0.213065 0.871000i
\(105\) −0.279951 0.738170i −0.0273204 0.0720380i
\(106\) −0.576474 + 0.553711i −0.0559921 + 0.0537812i
\(107\) −4.49331 15.5127i −0.434385 1.49967i −0.817478 0.575960i \(-0.804628\pi\)
0.383093 0.923710i \(-0.374859\pi\)
\(108\) −0.342038 + 0.0276122i −0.0329126 + 0.00265698i
\(109\) −6.02566 + 11.4809i −0.577153 + 1.09967i 0.405478 + 0.914105i \(0.367105\pi\)
−0.982631 + 0.185569i \(0.940587\pi\)
\(110\) 0.685752 + 0.658674i 0.0653839 + 0.0628021i
\(111\) 1.93822 4.54917i 0.183968 0.431788i
\(112\) −3.71817 1.41012i −0.351334 0.133244i
\(113\) 14.1973 + 2.30728i 1.33557 + 0.217051i 0.785910 0.618341i \(-0.212195\pi\)
0.549656 + 0.835391i \(0.314759\pi\)
\(114\) −3.39223 2.14512i −0.317712 0.200909i
\(115\) −8.07942 + 2.34023i −0.753410 + 0.218228i
\(116\) −1.54985 + 2.24534i −0.143900 + 0.208475i
\(117\) −3.31455 1.41906i −0.306431 0.131192i
\(118\) −11.8223 17.1276i −1.08833 1.57672i
\(119\) −2.13049 1.73949i −0.195301 0.159459i
\(120\) 1.45483 1.78184i 0.132807 0.162659i
\(121\) 8.41890 + 6.32639i 0.765355 + 0.575127i
\(122\) 10.0687 + 1.22256i 0.911577 + 0.110686i
\(123\) −2.40742 7.21110i −0.217070 0.650203i
\(124\) −0.00871965 0.108012i −0.000783047 0.00969978i
\(125\) −5.51971 + 6.23047i −0.493698 + 0.557270i
\(126\) −1.12613 + 0.712118i −0.100323 + 0.0634406i
\(127\) 19.0524 8.11749i 1.69063 0.720310i 0.690635 0.723204i \(-0.257331\pi\)
0.999996 + 0.00289350i \(0.000921031\pi\)
\(128\) −2.13786 13.1548i −0.188962 1.16273i
\(129\) −0.714018 + 0.632565i −0.0628658 + 0.0556942i
\(130\) −4.60870 + 1.95405i −0.404210 + 0.171382i
\(131\) −5.70138 5.05098i −0.498132 0.441307i 0.376269 0.926511i \(-0.377207\pi\)
−0.874401 + 0.485204i \(0.838745\pi\)
\(132\) 0.125606 0.198630i 0.0109326 0.0172885i
\(133\) −2.27485 0.183645i −0.197255 0.0159240i
\(134\) −2.65451 13.0027i −0.229315 1.12326i
\(135\) −0.217058 0.880640i −0.0186814 0.0757934i
\(136\) 1.28554 7.91022i 0.110234 0.678296i
\(137\) −2.62380 4.14921i −0.224167 0.354491i 0.714313 0.699827i \(-0.246739\pi\)
−0.938479 + 0.345336i \(0.887765\pi\)
\(138\) 6.59726 + 12.5700i 0.561596 + 1.07003i
\(139\) −2.95745 + 10.2103i −0.250848 + 0.866027i 0.731953 + 0.681355i \(0.238609\pi\)
−0.982800 + 0.184671i \(0.940878\pi\)
\(140\) −0.0541886 + 0.265434i −0.00457978 + 0.0224332i
\(141\) 6.04460 0.243589i 0.509047 0.0205139i
\(142\) 4.32218 2.26846i 0.362709 0.190365i
\(143\) 2.14065 1.23091i 0.179010 0.102934i
\(144\) −4.04525 2.12311i −0.337104 0.176926i
\(145\) −6.51502 3.09141i −0.541043 0.256728i
\(146\) −0.592412 1.02609i −0.0490284 0.0849196i
\(147\) 3.12118 5.40604i 0.257430 0.445883i
\(148\) −1.39647 + 0.963911i −0.114789 + 0.0792330i
\(149\) 0.620924 0.826300i 0.0508681 0.0676931i −0.773292 0.634050i \(-0.781391\pi\)
0.824160 + 0.566357i \(0.191648\pi\)
\(150\) 5.53774 + 3.19722i 0.452155 + 0.261052i
\(151\) −8.46301 + 1.02760i −0.688710 + 0.0836246i −0.457407 0.889257i \(-0.651222\pi\)
−0.231303 + 0.972882i \(0.574299\pi\)
\(152\) −2.85076 6.00784i −0.231227 0.487300i
\(153\) −2.18890 2.27889i −0.176962 0.184237i
\(154\) 0.0734265 0.909550i 0.00591687 0.0732936i
\(155\) 0.278097 0.0685448i 0.0223373 0.00550565i
\(156\) 0.701053 + 1.01946i 0.0561292 + 0.0816225i
\(157\) −17.3497 4.27632i −1.38466 0.341288i −0.524542 0.851385i \(-0.675763\pi\)
−0.860117 + 0.510097i \(0.829609\pi\)
\(158\) −5.67586 + 17.0013i −0.451547 + 1.35255i
\(159\) −0.223856 + 0.471766i −0.0177529 + 0.0374135i
\(160\) −1.65254 + 0.551698i −0.130645 + 0.0436156i
\(161\) 6.64344 + 4.58563i 0.523576 + 0.361399i
\(162\) −1.38294 + 0.656215i −0.108654 + 0.0515571i
\(163\) 5.75916 + 0.232086i 0.451093 + 0.0181784i 0.264773 0.964311i \(-0.414703\pi\)
0.186320 + 0.982489i \(0.440344\pi\)
\(164\) −0.624316 + 2.53295i −0.0487509 + 0.197790i
\(165\) 0.571463 + 0.243478i 0.0444883 + 0.0189547i
\(166\) 14.0377 2.28135i 1.08954 0.177067i
\(167\) 13.8782 + 2.83326i 1.07393 + 0.219244i 0.704277 0.709926i \(-0.251271\pi\)
0.369653 + 0.929170i \(0.379477\pi\)
\(168\) −2.20757 −0.170318
\(169\) 1.52177 + 12.9106i 0.117059 + 0.993125i
\(170\) −4.38704 −0.336471
\(171\) −2.56900 0.524466i −0.196457 0.0401069i
\(172\) 0.323099 0.0525087i 0.0246361 0.00400375i
\(173\) −20.2948 8.64681i −1.54299 0.657405i −0.557968 0.829862i \(-0.688419\pi\)
−0.985017 + 0.172458i \(0.944829\pi\)
\(174\) −2.91258 + 11.8168i −0.220802 + 0.895829i
\(175\) 3.63314 + 0.146410i 0.274639 + 0.0110676i
\(176\) 2.82675 1.34131i 0.213074 0.101105i
\(177\) −11.1891 7.72329i −0.841025 0.580518i
\(178\) 25.4418 8.49373i 1.90695 0.636632i
\(179\) 1.91005 4.02535i 0.142764 0.300868i −0.819456 0.573142i \(-0.805724\pi\)
0.962220 + 0.272274i \(0.0877756\pi\)
\(180\) −0.0985586 + 0.295219i −0.00734612 + 0.0220043i
\(181\) 19.3412 + 4.76717i 1.43762 + 0.354341i 0.879690 0.475548i \(-0.157750\pi\)
0.557928 + 0.829889i \(0.311597\pi\)
\(182\) 4.24982 + 2.23998i 0.315018 + 0.166038i
\(183\) 6.43346 1.58571i 0.475575 0.117219i
\(184\) −1.89264 + 23.4446i −0.139527 + 1.72836i
\(185\) −3.10684 3.23457i −0.228420 0.237810i
\(186\) −0.207226 0.436720i −0.0151945 0.0320218i
\(187\) 2.14829 0.260850i 0.157099 0.0190752i
\(188\) −1.79778 1.03795i −0.131116 0.0757000i
\(189\) −0.522902 + 0.695856i −0.0380355 + 0.0506161i
\(190\) −2.99590 + 2.06792i −0.217346 + 0.150023i
\(191\) 2.98401 5.16845i 0.215915 0.373976i −0.737640 0.675194i \(-0.764060\pi\)
0.953555 + 0.301218i \(0.0973932\pi\)
\(192\) −3.09840 5.36658i −0.223607 0.387300i
\(193\) −8.15219 3.86826i −0.586808 0.278444i 0.112052 0.993702i \(-0.464258\pi\)
−0.698860 + 0.715259i \(0.746309\pi\)
\(194\) −9.23848 4.84873i −0.663284 0.348119i
\(195\) −2.36245 + 2.26123i −0.169179 + 0.161930i
\(196\) −1.89671 + 0.995470i −0.135479 + 0.0711050i
\(197\) 1.34442 0.0541784i 0.0957862 0.00386005i 0.00767346 0.999971i \(-0.497557\pi\)
0.0881128 + 0.996111i \(0.471916\pi\)
\(198\) 0.209696 1.02716i 0.0149025 0.0729971i
\(199\) −3.89308 + 13.4405i −0.275973 + 0.952770i 0.696071 + 0.717973i \(0.254930\pi\)
−0.972044 + 0.234797i \(0.924557\pi\)
\(200\) 4.92356 + 9.38106i 0.348148 + 0.663341i
\(201\) −4.63360 7.32746i −0.326829 0.516839i
\(202\) 0.662319 4.07541i 0.0466006 0.286745i
\(203\) 1.65619 + 6.71942i 0.116242 + 0.471611i
\(204\) 0.216889 + 1.06239i 0.0151853 + 0.0743823i
\(205\) −6.87293 0.554841i −0.480027 0.0387518i
\(206\) −8.01691 + 12.6777i −0.558565 + 0.883299i
\(207\) 6.94173 + 6.14983i 0.482483 + 0.427443i
\(208\) 0.634444 + 16.4599i 0.0439907 + 1.14129i
\(209\) 1.34411 1.19078i 0.0929739 0.0823677i
\(210\) 0.193853 + 1.19282i 0.0133771 + 0.0823127i
\(211\) 1.14480 0.487755i 0.0788115 0.0335784i −0.352201 0.935924i \(-0.614567\pi\)
0.431013 + 0.902346i \(0.358156\pi\)
\(212\) 0.151448 0.0957697i 0.0104015 0.00657749i
\(213\) 2.11461 2.38690i 0.144891 0.163548i
\(214\) 1.98929 + 24.6418i 0.135985 + 1.68448i
\(215\) 0.273981 + 0.820673i 0.0186853 + 0.0559694i
\(216\) −2.51771 0.305705i −0.171308 0.0208006i
\(217\) −0.219744 0.165127i −0.0149172 0.0112096i
\(218\) 12.5526 15.3741i 0.850168 1.04127i
\(219\) −0.599562 0.489527i −0.0405146 0.0330792i
\(220\) −0.121086 0.175423i −0.00816360 0.0118270i
\(221\) −3.18889 + 10.9376i −0.214508 + 0.735744i
\(222\) −4.29984 + 6.22939i −0.288586 + 0.418089i
\(223\) 11.1149 3.21948i 0.744311 0.215592i 0.115670 0.993288i \(-0.463099\pi\)
0.628641 + 0.777696i \(0.283611\pi\)
\(224\) 1.41312 + 0.893603i 0.0944180 + 0.0597064i
\(225\) 4.12326 + 0.670096i 0.274884 + 0.0446730i
\(226\) −20.5866 7.80747i −1.36940 0.519345i
\(227\) 6.03208 14.1578i 0.400363 0.939687i −0.590773 0.806838i \(-0.701177\pi\)
0.991136 0.132849i \(-0.0424126\pi\)
\(228\) 0.648894 + 0.623271i 0.0429741 + 0.0412771i
\(229\) −1.53957 + 2.93341i −0.101738 + 0.193845i −0.931004 0.365008i \(-0.881066\pi\)
0.829267 + 0.558853i \(0.188759\pi\)
\(230\) 12.8341 1.03607i 0.846253 0.0683166i
\(231\) −0.165852 0.572589i −0.0109123 0.0376736i
\(232\) −14.5427 + 13.9685i −0.954778 + 0.917077i
\(233\) 6.03875 + 15.9229i 0.395612 + 1.04314i 0.973834 + 0.227262i \(0.0729775\pi\)
−0.578222 + 0.815879i \(0.696253\pi\)
\(234\) 4.53667 + 3.14318i 0.296571 + 0.205476i
\(235\) 1.94567 5.13031i 0.126922 0.334665i
\(236\) 1.82868 + 4.29208i 0.119037 + 0.279390i
\(237\) 0.471482 + 11.6997i 0.0306260 + 0.759977i
\(238\) 2.66270 + 3.26121i 0.172597 + 0.211393i
\(239\) 25.2733i 1.63479i 0.576077 + 0.817395i \(0.304583\pi\)
−0.576077 + 0.817395i \(0.695417\pi\)
\(240\) −3.20969 + 2.62063i −0.207185 + 0.169161i
\(241\) −5.36483 1.55394i −0.345579 0.100098i 0.100889 0.994898i \(-0.467831\pi\)
−0.446468 + 0.894799i \(0.647318\pi\)
\(242\) −10.6896 12.0661i −0.687154 0.775637i
\(243\) −0.692724 + 0.721202i −0.0444383 + 0.0462652i
\(244\) −2.15670 0.720014i −0.138069 0.0460942i
\(245\) −3.40128 4.52628i −0.217300 0.289173i
\(246\) 1.40271 + 11.5523i 0.0894334 + 0.736550i
\(247\) 2.97798 + 8.97243i 0.189485 + 0.570902i
\(248\) 0.0965385 0.795066i 0.00613020 0.0504867i
\(249\) 8.04615 4.64545i 0.509904 0.294393i
\(250\) 10.1862 7.65440i 0.644229 0.484107i
\(251\) 0.856857 21.2627i 0.0540844 1.34209i −0.713280 0.700879i \(-0.752791\pi\)
0.767365 0.641211i \(-0.221568\pi\)
\(252\) 0.279278 0.105916i 0.0175929 0.00667209i
\(253\) −6.22311 + 1.27046i −0.391244 + 0.0798730i
\(254\) −31.0603 + 6.34101i −1.94890 + 0.397870i
\(255\) −2.67973 + 1.01629i −0.167811 + 0.0636423i
\(256\) −0.322411 + 8.00055i −0.0201507 + 0.500035i
\(257\) 1.29196 0.970847i 0.0805904 0.0605598i −0.559683 0.828706i \(-0.689077\pi\)
0.640274 + 0.768147i \(0.278821\pi\)
\(258\) 1.26457 0.730098i 0.0787285 0.0454539i
\(259\) −0.518806 + 4.27275i −0.0322371 + 0.265496i
\(260\) 1.09989 0.222539i 0.0682124 0.0138013i
\(261\) 0.958353 + 7.89275i 0.0593205 + 0.488549i
\(262\) 7.00439 + 9.32115i 0.432733 + 0.575863i
\(263\) −7.51405 2.50856i −0.463336 0.154684i 0.0754096 0.997153i \(-0.475974\pi\)
−0.538746 + 0.842468i \(0.681102\pi\)
\(264\) 1.20323 1.25269i 0.0740537 0.0770980i
\(265\) 0.314066 + 0.354508i 0.0192930 + 0.0217772i
\(266\) 3.35559 + 0.971959i 0.205745 + 0.0595946i
\(267\) 13.5730 11.0820i 0.830651 0.678206i
\(268\) 2.97498i 0.181726i
\(269\) 12.5384 + 15.3567i 0.764477 + 0.936314i 0.999362 0.0357089i \(-0.0113689\pi\)
−0.234885 + 0.972023i \(0.575471\pi\)
\(270\) 0.0559040 + 1.38724i 0.00340221 + 0.0844250i
\(271\) 1.07376 + 2.52022i 0.0652265 + 0.153092i 0.949403 0.314061i \(-0.101690\pi\)
−0.884176 + 0.467154i \(0.845280\pi\)
\(272\) −5.11905 + 13.4978i −0.310388 + 0.818426i
\(273\) 3.11482 + 0.383743i 0.188517 + 0.0232252i
\(274\) 2.66475 + 7.02636i 0.160983 + 0.424478i
\(275\) −2.06331 + 1.98183i −0.124422 + 0.119509i
\(276\) −0.885399 3.05675i −0.0532948 0.183995i
\(277\) 5.36448 0.433065i 0.322320 0.0260204i 0.0817523 0.996653i \(-0.473948\pi\)
0.240568 + 0.970632i \(0.422666\pi\)
\(278\) 7.56184 14.4079i 0.453529 0.864127i
\(279\) −0.227748 0.218755i −0.0136349 0.0130965i
\(280\) −0.784819 + 1.84204i −0.0469019 + 0.110083i
\(281\) −16.3057 6.18394i −0.972717 0.368903i −0.183502 0.983019i \(-0.558743\pi\)
−0.789215 + 0.614117i \(0.789512\pi\)
\(282\) −9.14027 1.48544i −0.544295 0.0884566i
\(283\) 19.9709 + 12.6288i 1.18715 + 0.750706i 0.974052 0.226325i \(-0.0726712\pi\)
0.213095 + 0.977031i \(0.431646\pi\)
\(284\) −1.05106 + 0.304443i −0.0623688 + 0.0180654i
\(285\) −1.35093 + 1.95717i −0.0800224 + 0.115932i
\(286\) −3.58743 + 1.19068i −0.212129 + 0.0704066i
\(287\) 3.75905 + 5.44592i 0.221890 + 0.321462i
\(288\) 1.48790 + 1.21483i 0.0876751 + 0.0715845i
\(289\) 4.43683 5.43413i 0.260990 0.319654i
\(290\) 8.82468 + 6.63131i 0.518203 + 0.389404i
\(291\) −6.76637 0.821586i −0.396651 0.0481622i
\(292\) 0.0841091 + 0.251938i 0.00492211 + 0.0147435i
\(293\) −1.01710 12.5991i −0.0594197 0.736045i −0.956038 0.293241i \(-0.905266\pi\)
0.896619 0.442803i \(-0.146016\pi\)
\(294\) −6.33640 + 7.15232i −0.369546 + 0.417132i
\(295\) −10.4223 + 6.59066i −0.606810 + 0.383723i
\(296\) −11.5376 + 4.91571i −0.670609 + 0.285720i
\(297\) −0.109860 0.675996i −0.00637473 0.0392253i
\(298\) −1.18426 + 1.04917i −0.0686026 + 0.0607766i
\(299\) 6.74583 32.7505i 0.390122 1.89401i
\(300\) −1.07296 0.950563i −0.0619476 0.0548808i
\(301\) 0.443775 0.701775i 0.0255788 0.0404496i
\(302\) 13.0075 + 1.05007i 0.748496 + 0.0604248i
\(303\) −0.539533 2.64281i −0.0309954 0.151825i
\(304\) 2.86669 + 11.6306i 0.164416 + 0.667062i
\(305\) 0.964032 5.93192i 0.0552003 0.339661i
\(306\) 2.58515 + 4.08809i 0.147783 + 0.233701i
\(307\) −2.06572 3.93590i −0.117897 0.224634i 0.819355 0.573286i \(-0.194332\pi\)
−0.937252 + 0.348652i \(0.886639\pi\)
\(308\) −0.0569124 + 0.196484i −0.00324288 + 0.0111957i
\(309\) −1.96008 + 9.60108i −0.111505 + 0.546187i
\(310\) −0.438078 + 0.0176539i −0.0248811 + 0.00100268i
\(311\) 22.1549 11.6278i 1.25629 0.659352i 0.300606 0.953748i \(-0.402811\pi\)
0.955683 + 0.294397i \(0.0951187\pi\)
\(312\) 3.56956 + 8.41891i 0.202086 + 0.476627i
\(313\) −17.8251 9.35533i −1.00753 0.528794i −0.121586 0.992581i \(-0.538798\pi\)
−0.885947 + 0.463787i \(0.846490\pi\)
\(314\) 24.7118 + 11.7259i 1.39457 + 0.661730i
\(315\) 0.394736 + 0.683704i 0.0222409 + 0.0385223i
\(316\) 2.00901 3.47971i 0.113016 0.195749i
\(317\) −3.04951 + 2.10493i −0.171278 + 0.118225i −0.650620 0.759404i \(-0.725491\pi\)
0.479342 + 0.877628i \(0.340875\pi\)
\(318\) 0.480188 0.639014i 0.0269276 0.0358341i
\(319\) −4.71565 2.72258i −0.264026 0.152435i
\(320\) −5.57948 + 0.677472i −0.311903 + 0.0378718i
\(321\) 6.92354 + 14.5910i 0.386434 + 0.814393i
\(322\) −8.55977 8.91167i −0.477017 0.496628i
\(323\) −0.666673 + 8.25823i −0.0370947 + 0.459500i
\(324\) 0.333180 0.0821214i 0.0185100 0.00456230i
\(325\) −5.31628 14.0923i −0.294894 0.781697i
\(326\) −8.56654 2.11146i −0.474457 0.116943i
\(327\) 4.10595 12.2988i 0.227060 0.680127i
\(328\) −8.26565 + 17.4195i −0.456394 + 0.961830i
\(329\) −4.99466 + 1.66746i −0.275364 + 0.0919302i
\(330\) −0.782531 0.540142i −0.0430769 0.0297338i
\(331\) 31.3191 14.8611i 1.72145 0.816840i 0.730455 0.682960i \(-0.239308\pi\)
0.990998 0.133879i \(-0.0427434\pi\)
\(332\) −3.18559 0.128375i −0.174832 0.00704549i
\(333\) −1.18338 + 4.80117i −0.0648489 + 0.263102i
\(334\) −19.9471 8.49865i −1.09145 0.465025i
\(335\) −7.76146 + 1.26136i −0.424054 + 0.0689154i
\(336\) 3.89622 + 0.795420i 0.212556 + 0.0433937i
\(337\) 8.73626 0.475894 0.237947 0.971278i \(-0.423526\pi\)
0.237947 + 0.971278i \(0.423526\pi\)
\(338\) 1.67071 19.8293i 0.0908745 1.07857i
\(339\) −14.3835 −0.781206
\(340\) 0.963585 + 0.196717i 0.0522577 + 0.0106685i
\(341\) 0.213473 0.0346927i 0.0115602 0.00187871i
\(342\) 3.69241 + 1.57319i 0.199662 + 0.0850682i
\(343\) −2.75847 + 11.1916i −0.148943 + 0.604288i
\(344\) 2.41736 + 0.0974164i 0.130335 + 0.00525234i
\(345\) 7.59939 3.60596i 0.409137 0.194138i
\(346\) 27.7906 + 19.1825i 1.49403 + 1.03126i
\(347\) −4.08276 + 1.36303i −0.219174 + 0.0731711i −0.424135 0.905599i \(-0.639422\pi\)
0.204960 + 0.978770i \(0.434293\pi\)
\(348\) 1.16960 2.46488i 0.0626971 0.132131i
\(349\) −1.00189 + 3.00102i −0.0536298 + 0.160641i −0.971945 0.235210i \(-0.924422\pi\)
0.918315 + 0.395851i \(0.129550\pi\)
\(350\) −5.40415 1.33200i −0.288864 0.0711986i
\(351\) 3.49926 + 0.868994i 0.186777 + 0.0463835i
\(352\) −1.27729 + 0.314824i −0.0680800 + 0.0167802i
\(353\) 0.0994830 1.23232i 0.00529495 0.0655897i −0.993570 0.113218i \(-0.963884\pi\)
0.998865 + 0.0476282i \(0.0151663\pi\)
\(354\) 14.4167 + 15.0093i 0.766237 + 0.797737i
\(355\) −1.23990 2.61304i −0.0658071 0.138686i
\(356\) −5.96900 + 0.724767i −0.316356 + 0.0384126i
\(357\) 2.38193 + 1.37521i 0.126065 + 0.0727838i
\(358\) −4.09720 + 5.45238i −0.216544 + 0.288167i
\(359\) −29.1855 + 20.1453i −1.54035 + 1.06323i −0.569966 + 0.821668i \(0.693044\pi\)
−0.970386 + 0.241560i \(0.922341\pi\)
\(360\) −1.15016 + 1.99213i −0.0606187 + 0.104995i
\(361\) −6.06258 10.5007i −0.319083 0.552668i
\(362\) −27.5482 13.0718i −1.44790 0.687039i
\(363\) −9.32470 4.89398i −0.489420 0.256867i
\(364\) −0.833004 0.682562i −0.0436613 0.0357760i
\(365\) −0.621621 + 0.326252i −0.0325371 + 0.0170768i
\(366\) −10.1344 + 0.408403i −0.529735 + 0.0213476i
\(367\) 5.87509 28.7781i 0.306677 1.50220i −0.475816 0.879545i \(-0.657847\pi\)
0.782493 0.622659i \(-0.213948\pi\)
\(368\) 11.7878 40.6961i 0.614481 2.12143i
\(369\) 3.53299 + 6.73154i 0.183920 + 0.350430i
\(370\) 3.66926 + 5.80248i 0.190756 + 0.301656i
\(371\) 0.0729104 0.448636i 0.00378532 0.0232920i
\(372\) 0.0259331 + 0.105215i 0.00134457 + 0.00545513i
\(373\) −1.10947 5.43454i −0.0574462 0.281390i 0.940913 0.338648i \(-0.109969\pi\)
−0.998359 + 0.0572577i \(0.981764\pi\)
\(374\) −3.30188 0.266555i −0.170736 0.0137832i
\(375\) 4.44880 7.03521i 0.229735 0.363297i
\(376\) −11.4842 10.1741i −0.592252 0.524690i
\(377\) 22.9475 17.1811i 1.18186 0.884874i
\(378\) 0.997310 0.883540i 0.0512961 0.0454444i
\(379\) −0.667343 4.10633i −0.0342791 0.210928i 0.964260 0.264957i \(-0.0853577\pi\)
−0.998539 + 0.0540290i \(0.982794\pi\)
\(380\) 0.750758 0.319868i 0.0385130 0.0164089i
\(381\) −17.5036 + 11.0686i −0.896735 + 0.567061i
\(382\) −6.05793 + 6.83799i −0.309950 + 0.349862i
\(383\) 2.76525 + 34.2538i 0.141298 + 1.75029i 0.547774 + 0.836626i \(0.315475\pi\)
−0.406476 + 0.913661i \(0.633242\pi\)
\(384\) 4.22034 + 12.6415i 0.215368 + 0.645107i
\(385\) −0.536740 0.0651720i −0.0273548 0.00332148i
\(386\) 11.0423 + 8.29771i 0.562036 + 0.422343i
\(387\) 0.603301 0.738910i 0.0306675 0.0375609i
\(388\) 1.81175 + 1.47925i 0.0919778 + 0.0750976i
\(389\) −10.2705 14.8793i −0.520733 0.754412i 0.471083 0.882089i \(-0.343863\pi\)
−0.991816 + 0.127677i \(0.959248\pi\)
\(390\) 4.23556 2.66804i 0.214476 0.135101i
\(391\) 16.6469 24.1172i 0.841870 1.21966i
\(392\) −15.2068 + 4.40470i −0.768058 + 0.222471i
\(393\) 6.43779 + 4.07101i 0.324743 + 0.205355i
\(394\) −2.03296 0.330387i −0.102419 0.0166447i
\(395\) 9.93005 + 3.76597i 0.499635 + 0.189486i
\(396\) −0.0921169 + 0.216206i −0.00462905 + 0.0108648i
\(397\) −23.2067 22.2903i −1.16471 1.11872i −0.990992 0.133923i \(-0.957242\pi\)
−0.173718 0.984795i \(-0.555578\pi\)
\(398\) 9.95413 18.9660i 0.498956 0.950681i
\(399\) 2.27485 0.183645i 0.113885 0.00919374i
\(400\) −5.30963 18.3310i −0.265482 0.916549i
\(401\) −2.62969 + 2.52585i −0.131320 + 0.126135i −0.755508 0.655140i \(-0.772610\pi\)
0.624187 + 0.781275i \(0.285430\pi\)
\(402\) 4.70591 + 12.4085i 0.234710 + 0.618878i
\(403\) −0.274419 + 1.10503i −0.0136698 + 0.0550456i
\(404\) −0.328218 + 0.865439i −0.0163294 + 0.0430572i
\(405\) 0.355512 + 0.834417i 0.0176655 + 0.0414625i
\(406\) −0.426556 10.5849i −0.0211696 0.525319i
\(407\) −2.14181 2.62325i −0.106166 0.130030i
\(408\) 8.01400i 0.396752i
\(409\) −14.2896 + 11.6671i −0.706574 + 0.576900i −0.916122 0.400898i \(-0.868698\pi\)
0.209549 + 0.977798i \(0.432801\pi\)
\(410\) 10.1381 + 2.93655i 0.500687 + 0.145026i
\(411\) 3.25541 + 3.67459i 0.160577 + 0.181254i
\(412\) 2.32934 2.42510i 0.114758 0.119476i
\(413\) 11.2251 + 3.74749i 0.552351 + 0.184402i
\(414\) −8.52821 11.3490i −0.419139 0.557772i
\(415\) −1.01574 8.36536i −0.0498606 0.410639i
\(416\) 1.12293 6.83406i 0.0550562 0.335068i
\(417\) 1.28130 10.5525i 0.0627457 0.516758i
\(418\) −2.38049 + 1.37438i −0.116434 + 0.0672230i
\(419\) −5.98613 + 4.49829i −0.292442 + 0.219756i −0.736829 0.676079i \(-0.763678\pi\)
0.444387 + 0.895835i \(0.353421\pi\)
\(420\) 0.0109084 0.270689i 0.000532275 0.0132083i
\(421\) −27.5187 + 10.4365i −1.34118 + 0.508642i −0.917704 0.397265i \(-0.869959\pi\)
−0.423475 + 0.905908i \(0.639190\pi\)
\(422\) −1.86632 + 0.381012i −0.0908510 + 0.0185474i
\(423\) −5.92725 + 1.21006i −0.288193 + 0.0588349i
\(424\) 1.23830 0.469624i 0.0601370 0.0228070i
\(425\) 0.531503 13.1891i 0.0257817 0.639766i
\(426\) −3.90232 + 2.93241i −0.189068 + 0.142076i
\(427\) −4.99475 + 2.88372i −0.241713 + 0.139553i
\(428\) 0.668016 5.50160i 0.0322898 0.265930i
\(429\) −1.91548 + 1.55836i −0.0924801 + 0.0752381i
\(430\) −0.159638 1.31473i −0.00769841 0.0634021i
\(431\) −10.2281 13.6111i −0.492669 0.655624i 0.482808 0.875726i \(-0.339617\pi\)
−0.975477 + 0.220103i \(0.929361\pi\)
\(432\) 4.33344 + 1.44671i 0.208493 + 0.0696050i
\(433\) −0.202323 + 0.210641i −0.00972304 + 0.0101228i −0.726046 0.687646i \(-0.758644\pi\)
0.716323 + 0.697769i \(0.245824\pi\)
\(434\) 0.279013 + 0.314940i 0.0133930 + 0.0151176i
\(435\) 6.92655 + 2.00630i 0.332103 + 0.0961947i
\(436\) −3.44648 + 2.81396i −0.165056 + 0.134764i
\(437\) 24.3165i 1.16321i
\(438\) 0.749336 + 0.917770i 0.0358047 + 0.0438528i
\(439\) −0.618912 15.3581i −0.0295390 0.733004i −0.944315 0.329042i \(-0.893274\pi\)
0.914776 0.403961i \(-0.132367\pi\)
\(440\) −0.617507 1.44934i −0.0294385 0.0690947i
\(441\) −2.21357 + 5.83671i −0.105408 + 0.277938i
\(442\) 8.13165 15.4278i 0.386783 0.733828i
\(443\) 5.18357 + 13.6680i 0.246279 + 0.649384i 0.999969 0.00784561i \(-0.00249736\pi\)
−0.753690 + 0.657230i \(0.771728\pi\)
\(444\) 1.22376 1.17544i 0.0580771 0.0557838i
\(445\) −4.42164 15.2653i −0.209606 0.723644i
\(446\) −17.6559 + 1.42533i −0.836033 + 0.0674915i
\(447\) −0.480335 + 0.915203i −0.0227191 + 0.0432876i
\(448\) 3.89006 + 3.73645i 0.183788 + 0.176531i
\(449\) 1.98577 4.66077i 0.0937142 0.219955i −0.866525 0.499134i \(-0.833652\pi\)
0.960239 + 0.279178i \(0.0900620\pi\)
\(450\) −5.97890 2.26750i −0.281848 0.106891i
\(451\) −5.13916 0.835194i −0.241993 0.0393278i
\(452\) 4.17162 + 2.63797i 0.196217 + 0.124080i
\(453\) 8.18858 2.37185i 0.384733 0.111439i
\(454\) −13.3818 + 19.3870i −0.628041 + 0.909875i
\(455\) 1.42756 2.46263i 0.0669249 0.115450i
\(456\) 3.77757 + 5.47275i 0.176901 + 0.256285i
\(457\) 20.5126 + 16.7480i 0.959537 + 0.783437i 0.976300 0.216422i \(-0.0694387\pi\)
−0.0167632 + 0.999859i \(0.505336\pi\)
\(458\) 3.20722 3.92813i 0.149864 0.183550i
\(459\) 2.52612 + 1.89826i 0.117909 + 0.0886030i
\(460\) −2.86538 0.347920i −0.133599 0.0162218i
\(461\) 8.16618 + 24.4607i 0.380337 + 1.13925i 0.948621 + 0.316416i \(0.102479\pi\)
−0.568284 + 0.822833i \(0.692392\pi\)
\(462\) 0.0734265 + 0.909550i 0.00341611 + 0.0423161i
\(463\) 15.2331 17.1946i 0.707940 0.799099i −0.278982 0.960296i \(-0.589997\pi\)
0.986922 + 0.161197i \(0.0515354\pi\)
\(464\) 30.7000 19.4135i 1.42521 0.901250i
\(465\) −0.263500 + 0.112267i −0.0122195 + 0.00520626i
\(466\) −4.18155 25.7301i −0.193707 1.19192i
\(467\) −5.75831 + 5.10142i −0.266463 + 0.236065i −0.785765 0.618525i \(-0.787730\pi\)
0.519302 + 0.854591i \(0.326192\pi\)
\(468\) −0.855508 0.893806i −0.0395459 0.0413162i
\(469\) 5.64845 + 5.00409i 0.260821 + 0.231067i
\(470\) −4.48895 + 7.09871i −0.207060 + 0.327439i
\(471\) 17.8110 + 1.43785i 0.820688 + 0.0662528i
\(472\) 6.89720 + 33.7847i 0.317470 + 1.55507i
\(473\) 0.156346 + 0.634321i 0.00718880 + 0.0291661i
\(474\) 2.87516 17.6916i 0.132060 0.812601i
\(475\) −5.85400 9.25737i −0.268600 0.424757i
\(476\) −0.438610 0.835701i −0.0201036 0.0383043i
\(477\) 0.145280 0.501566i 0.00665193 0.0229651i
\(478\) 7.73833 37.9048i 0.353943 1.73373i
\(479\) 10.3589 0.417449i 0.473309 0.0190737i 0.197534 0.980296i \(-0.436707\pi\)
0.275775 + 0.961222i \(0.411066\pi\)
\(480\) 1.54264 0.809640i 0.0704115 0.0369548i
\(481\) 17.1337 4.93033i 0.781229 0.224804i
\(482\) 7.57038 + 3.97324i 0.344821 + 0.180976i
\(483\) −7.29299 3.46057i −0.331843 0.157461i
\(484\) 1.80685 + 3.12956i 0.0821298 + 0.142253i
\(485\) −3.09107 + 5.35389i −0.140358 + 0.243107i
\(486\) 1.25977 0.869557i 0.0571444 0.0394439i
\(487\) 22.5474 30.0051i 1.02172 1.35966i 0.0902203 0.995922i \(-0.471243\pi\)
0.931500 0.363741i \(-0.118501\pi\)
\(488\) −14.5534 8.40242i −0.658802 0.380360i
\(489\) −5.72181 + 0.694754i −0.258749 + 0.0314179i
\(490\) 3.71535 + 7.82993i 0.167842 + 0.353720i
\(491\) −1.91854 1.99741i −0.0865826 0.0901420i 0.676501 0.736441i \(-0.263495\pi\)
−0.763084 + 0.646299i \(0.776316\pi\)
\(492\) 0.209917 2.60029i 0.00946381 0.117230i
\(493\) 24.3930 6.01234i 1.09861 0.270782i
\(494\) −1.71915 14.3687i −0.0773480 0.646477i
\(495\) −0.603119 0.148656i −0.0271082 0.00668157i
\(496\) −0.456857 + 1.36845i −0.0205135 + 0.0614454i
\(497\) −1.18991 + 2.50768i −0.0533747 + 0.112485i
\(498\) −13.4900 + 4.50362i −0.604501 + 0.201812i
\(499\) −3.85159 2.65856i −0.172421 0.119014i 0.478729 0.877963i \(-0.341098\pi\)
−0.651150 + 0.758949i \(0.725713\pi\)
\(500\) −2.58055 + 1.22449i −0.115406 + 0.0547607i
\(501\) −14.1530 0.570346i −0.632309 0.0254812i
\(502\) −7.79546 + 31.6274i −0.347929 + 1.41160i
\(503\) −11.8107 5.03206i −0.526613 0.224369i 0.112263 0.993678i \(-0.464190\pi\)
−0.638876 + 0.769310i \(0.720600\pi\)
\(504\) 2.17899 0.354120i 0.0970598 0.0157737i
\(505\) −2.39701 0.489354i −0.106666 0.0217760i
\(506\) 9.72242 0.432214
\(507\) −3.57307 12.4993i −0.158686 0.555115i
\(508\) 7.10653 0.315301
\(509\) −10.5399 2.15174i −0.467173 0.0953740i −0.0393282 0.999226i \(-0.512522\pi\)
−0.427844 + 0.903852i \(0.640727\pi\)
\(510\) 4.33023 0.703731i 0.191746 0.0311617i
\(511\) 0.619818 + 0.264080i 0.0274191 + 0.0116822i
\(512\) −3.44567 + 13.9796i −0.152279 + 0.617818i
\(513\) 2.61986 + 0.105577i 0.115670 + 0.00466134i
\(514\) −2.23495 + 1.06050i −0.0985792 + 0.0467764i
\(515\) 7.31448 + 5.04882i 0.322314 + 0.222478i
\(516\) −0.310492 + 0.103657i −0.0136686 + 0.00456326i
\(517\) 1.77611 3.74308i 0.0781133 0.164620i
\(518\) 2.08637 6.24943i 0.0916696 0.274584i
\(519\) 21.4190 + 5.27932i 0.940191 + 0.231736i
\(520\) 8.29391 + 0.0145238i 0.363712 + 0.000636911i
\(521\) 4.15252 1.02350i 0.181925 0.0448405i −0.147301 0.989092i \(-0.547058\pi\)
0.329226 + 0.944251i \(0.393212\pi\)
\(522\) 0.979314 12.1310i 0.0428634 0.530958i
\(523\) −25.3150 26.3557i −1.10695 1.15246i −0.987173 0.159655i \(-0.948962\pi\)
−0.119776 0.992801i \(-0.538218\pi\)
\(524\) −1.12050 2.36141i −0.0489494 0.103159i
\(525\) −3.60957 + 0.438282i −0.157535 + 0.0191282i
\(526\) 10.5015 + 6.06304i 0.457887 + 0.264361i
\(527\) −0.599450 + 0.797723i −0.0261124 + 0.0347493i
\(528\) −2.57498 + 1.77738i −0.112062 + 0.0773507i
\(529\) −31.5040 + 54.5665i −1.36974 + 2.37246i
\(530\) −0.362492 0.627854i −0.0157456 0.0272722i
\(531\) 12.2831 + 5.82841i 0.533042 + 0.252932i
\(532\) −0.693451 0.363951i −0.0300649 0.0157793i
\(533\) 14.6906 23.1415i 0.636321 1.00237i
\(534\) −23.7499 + 12.4649i −1.02776 + 0.539409i
\(535\) 14.6364 0.589827i 0.632787 0.0255005i
\(536\) −4.39813 + 21.5434i −0.189970 + 0.930535i
\(537\) −1.23960 + 4.27961i −0.0534929 + 0.184679i
\(538\) −14.1030 26.8710i −0.608024 1.15849i
\(539\) −2.28493 3.61333i −0.0984190 0.155637i
\(540\) 0.0499258 0.307206i 0.00214847 0.0132200i
\(541\) −0.895271 3.63226i −0.0384907 0.156163i 0.948552 0.316622i \(-0.102549\pi\)
−0.987042 + 0.160459i \(0.948703\pi\)
\(542\) −0.838775 4.10859i −0.0360285 0.176479i
\(543\) −19.8554 1.60289i −0.852077 0.0687868i
\(544\) 3.24398 5.12995i 0.139085 0.219945i
\(545\) −8.80264 7.79846i −0.377064 0.334049i
\(546\) −4.55411 1.52925i −0.194898 0.0654460i
\(547\) 2.48847 2.20459i 0.106399 0.0942615i −0.608246 0.793749i \(-0.708127\pi\)
0.714645 + 0.699487i \(0.246588\pi\)
\(548\) −0.270229 1.66278i −0.0115436 0.0710306i
\(549\) −6.09578 + 2.59717i −0.260162 + 0.110845i
\(550\) 3.70136 2.34060i 0.157827 0.0998034i
\(551\) 13.8239 15.6040i 0.588919 0.664752i
\(552\) −1.89264 23.4446i −0.0805561 0.997866i
\(553\) −3.22748 9.66748i −0.137246 0.411103i
\(554\) −8.17824 0.993018i −0.347460 0.0421893i
\(555\) 3.58547 + 2.69431i 0.152195 + 0.114367i
\(556\) −2.30697 + 2.82552i −0.0978372 + 0.119829i
\(557\) 6.49450 + 5.30259i 0.275181 + 0.224678i 0.759979 0.649948i \(-0.225209\pi\)
−0.484798 + 0.874626i \(0.661107\pi\)
\(558\) 0.274597 + 0.397823i 0.0116246 + 0.0168412i
\(559\) −3.39389 0.557663i −0.143546 0.0235866i
\(560\) 2.04887 2.96829i 0.0865804 0.125433i
\(561\) −2.07863 + 0.602082i −0.0877598 + 0.0254199i
\(562\) 22.5619 + 14.2673i 0.951715 + 0.601828i
\(563\) −10.4494 1.69820i −0.440391 0.0715705i −0.0638266 0.997961i \(-0.520330\pi\)
−0.376564 + 0.926391i \(0.622895\pi\)
\(564\) 1.94099 + 0.736122i 0.0817306 + 0.0309963i
\(565\) −5.11351 + 12.0019i −0.215127 + 0.504922i
\(566\) −26.0856 25.0556i −1.09646 1.05316i
\(567\) 0.404507 0.770724i 0.0169877 0.0323674i
\(568\) −8.06136 + 0.650780i −0.338247 + 0.0273061i
\(569\) 1.90687 + 6.58328i 0.0799402 + 0.275986i 0.990524 0.137339i \(-0.0438548\pi\)
−0.910584 + 0.413324i \(0.864368\pi\)
\(570\) 2.62539 2.52172i 0.109965 0.105623i
\(571\) 7.64200 + 20.1503i 0.319808 + 0.843264i 0.994459 + 0.105127i \(0.0335249\pi\)
−0.674651 + 0.738137i \(0.735706\pi\)
\(572\) 0.841348 0.100663i 0.0351785 0.00420895i
\(573\) −2.11629 + 5.58019i −0.0884092 + 0.233116i
\(574\) −3.97035 9.31876i −0.165719 0.388958i
\(575\) 1.55994 + 38.7096i 0.0650542 + 1.61430i
\(576\) 3.91913 + 4.80007i 0.163297 + 0.200003i
\(577\) 26.0731i 1.08544i −0.839915 0.542718i \(-0.817395\pi\)
0.839915 0.542718i \(-0.182605\pi\)
\(578\) −8.31821 + 6.79161i −0.345992 + 0.282494i
\(579\) 8.66714 + 2.51047i 0.360194 + 0.104331i
\(580\) −1.64093 1.85223i −0.0681360 0.0769096i
\(581\) −5.60209 + 5.83239i −0.232414 + 0.241968i
\(582\) 9.89664 + 3.30398i 0.410229 + 0.136955i
\(583\) 0.214840 + 0.285901i 0.00889778 + 0.0118408i
\(584\) 0.236622 + 1.94876i 0.00979151 + 0.0806403i
\(585\) 1.96913 2.61091i 0.0814136 0.107948i
\(586\) −2.33221 + 19.2075i −0.0963428 + 0.793454i
\(587\) −13.4478 + 7.76407i −0.555049 + 0.320458i −0.751156 0.660125i \(-0.770503\pi\)
0.196107 + 0.980583i \(0.437170\pi\)
\(588\) 1.71246 1.28683i 0.0706208 0.0530681i
\(589\) −0.0333401 + 0.827327i −0.00137376 + 0.0340894i
\(590\) 17.6493 6.69351i 0.726612 0.275568i
\(591\) −1.31832 + 0.269138i −0.0542286 + 0.0110708i
\(592\) 22.1343 4.51875i 0.909714 0.185719i
\(593\) −5.34364 + 2.02658i −0.219437 + 0.0832215i −0.461874 0.886946i \(-0.652823\pi\)
0.242437 + 0.970167i \(0.422053\pi\)
\(594\) −0.0422127 + 1.04750i −0.00173201 + 0.0429793i
\(595\) 1.99430 1.49862i 0.0817584 0.0614375i
\(596\) 0.307161 0.177340i 0.0125818 0.00726411i
\(597\) 1.68666 13.8909i 0.0690305 0.568517i
\(598\) −20.1452 + 47.0538i −0.823797 + 1.92417i
\(599\) 0.650266 + 5.35542i 0.0265691 + 0.218816i 0.999946 0.0103941i \(-0.00330862\pi\)
−0.973377 + 0.229211i \(0.926386\pi\)
\(600\) −6.36463 8.46978i −0.259835 0.345777i
\(601\) 34.9892 + 11.6811i 1.42724 + 0.476482i 0.922233 0.386634i \(-0.126362\pi\)
0.505005 + 0.863116i \(0.331491\pi\)
\(602\) −0.880448 + 0.916644i −0.0358844 + 0.0373596i
\(603\) 5.74901 + 6.48929i 0.234118 + 0.264264i
\(604\) −2.80992 0.813903i −0.114334 0.0331173i
\(605\) −7.39866 + 6.04082i −0.300798 + 0.245594i
\(606\) 4.12888i 0.167724i
\(607\) −8.53509 10.4536i −0.346428 0.424298i 0.571773 0.820412i \(-0.306256\pi\)
−0.918201 + 0.396114i \(0.870358\pi\)
\(608\) −0.202797 5.03236i −0.00822450 0.204089i
\(609\) −2.71261 6.36673i −0.109921 0.257993i
\(610\) −3.26213 + 8.60153i −0.132080 + 0.348266i
\(611\) 14.4353 + 16.3517i 0.583989 + 0.661517i
\(612\) −0.384500 1.01384i −0.0155425 0.0409822i
\(613\) −27.1663 + 26.0936i −1.09724 + 1.05391i −0.0989666 + 0.995091i \(0.531554\pi\)
−0.998269 + 0.0588181i \(0.981267\pi\)
\(614\) 1.89305 + 6.53556i 0.0763973 + 0.263754i
\(615\) 6.87293 0.554841i 0.277143 0.0223733i
\(616\) −0.702610 + 1.33871i −0.0283090 + 0.0539382i
\(617\) 24.6579 + 23.6842i 0.992688 + 0.953490i 0.998919 0.0464908i \(-0.0148038\pi\)
−0.00623074 + 0.999981i \(0.501983\pi\)
\(618\) 5.87944 13.7996i 0.236506 0.555100i
\(619\) 18.0300 + 6.83788i 0.724687 + 0.274838i 0.689239 0.724534i \(-0.257945\pi\)
0.0354480 + 0.999372i \(0.488714\pi\)
\(620\) 0.0970125 + 0.0157661i 0.00389612 + 0.000633180i
\(621\) −7.83833 4.95666i −0.314542 0.198904i
\(622\) −36.7882 + 10.6558i −1.47507 + 0.427260i
\(623\) −8.66411 + 12.5521i −0.347120 + 0.502891i
\(624\) −3.26658 16.1450i −0.130768 0.646317i
\(625\) 7.57635 + 10.9762i 0.303054 + 0.439050i
\(626\) 23.8696 + 19.4889i 0.954021 + 0.778934i
\(627\) −1.13569 + 1.39097i −0.0453550 + 0.0555498i
\(628\) −4.90198 3.68360i −0.195610 0.146992i
\(629\) 15.5111 + 1.88339i 0.618467 + 0.0750955i
\(630\) −0.382685 1.14628i −0.0152465 0.0456690i
\(631\) −0.780081 9.66304i −0.0310546 0.384680i −0.993551 0.113386i \(-0.963830\pi\)
0.962497 0.271294i \(-0.0874516\pi\)
\(632\) 19.6926 22.2284i 0.783331 0.884198i
\(633\) −1.05174 + 0.665078i −0.0418028 + 0.0264345i
\(634\) 5.21816 2.22325i 0.207240 0.0882966i
\(635\) 3.01309 + 18.5403i 0.119571 + 0.735749i
\(636\) −0.134124 + 0.118823i −0.00531836 + 0.00471165i
\(637\) 22.2220 3.57149i 0.880466 0.141508i
\(638\) 6.23892 + 5.52720i 0.247001 + 0.218824i
\(639\) −1.70434 + 2.69520i −0.0674226 + 0.106620i
\(640\) 12.0486 + 0.972667i 0.476264 + 0.0384480i
\(641\) −1.28101 6.27478i −0.0505967 0.247839i 0.946624 0.322339i \(-0.104469\pi\)
−0.997221 + 0.0745000i \(0.976264\pi\)
\(642\) −5.91634 24.0035i −0.233499 0.947344i
\(643\) −3.14338 + 19.3420i −0.123963 + 0.762774i 0.848410 + 0.529340i \(0.177560\pi\)
−0.972373 + 0.233434i \(0.925004\pi\)
\(644\) 1.48049 + 2.34121i 0.0583397 + 0.0922568i
\(645\) −0.402078 0.766096i −0.0158318 0.0301650i
\(646\) 3.52844 12.1816i 0.138824 0.479278i
\(647\) −6.94951 + 34.0410i −0.273214 + 1.33829i 0.579100 + 0.815257i \(0.303404\pi\)
−0.852313 + 0.523032i \(0.824801\pi\)
\(648\) 2.53414 0.102122i 0.0995504 0.00401175i
\(649\) −8.24473 + 4.32717i −0.323634 + 0.169856i
\(650\) 3.65850 + 22.7633i 0.143498 + 0.892851i
\(651\) 0.243387 + 0.127739i 0.00953909 + 0.00500650i
\(652\) 1.78690 + 0.847897i 0.0699806 + 0.0332062i
\(653\) −15.0506 26.0683i −0.588974 1.02013i −0.994367 0.105991i \(-0.966199\pi\)
0.405393 0.914142i \(-0.367135\pi\)
\(654\) −9.92385 + 17.1886i −0.388053 + 0.672128i
\(655\) 5.68563 3.92451i 0.222156 0.153343i
\(656\) 20.8648 27.7660i 0.814634 1.08408i
\(657\) 0.670323 + 0.387011i 0.0261518 + 0.0150987i
\(658\) 8.00154 0.971563i 0.311933 0.0378755i
\(659\) 12.6821 + 26.7270i 0.494025 + 1.04114i 0.985411 + 0.170194i \(0.0544395\pi\)
−0.491385 + 0.870942i \(0.663509\pi\)
\(660\) 0.147658 + 0.153728i 0.00574756 + 0.00598385i
\(661\) −2.59019 + 32.0853i −0.100747 + 1.24797i 0.726907 + 0.686736i \(0.240957\pi\)
−0.827654 + 0.561238i \(0.810325\pi\)
\(662\) −51.5227 + 12.6992i −2.00248 + 0.493568i
\(663\) 1.39308 11.3075i 0.0541026 0.439147i
\(664\) −22.8788 5.63912i −0.887871 0.218840i
\(665\) 0.655500 1.96346i 0.0254192 0.0761398i
\(666\) 3.24489 6.83846i 0.125737 0.264985i
\(667\) −69.9406 + 23.3496i −2.70811 + 0.904101i
\(668\) 4.00016 + 2.76111i 0.154771 + 0.106831i
\(669\) −10.4546 + 4.96075i −0.404196 + 0.191794i
\(670\) 12.0268 + 0.484665i 0.464638 + 0.0187243i
\(671\) 1.08599 4.40605i 0.0419243 0.170094i
\(672\) −1.53816 0.655351i −0.0593360 0.0252807i
\(673\) 31.5869 5.13338i 1.21759 0.197877i 0.482528 0.875880i \(-0.339719\pi\)
0.735059 + 0.678003i \(0.237155\pi\)
\(674\) −13.1026 2.67492i −0.504695 0.103034i
\(675\) −4.17736 −0.160787
\(676\) −1.25612 + 4.28046i −0.0483122 + 0.164633i
\(677\) 45.5517 1.75069 0.875346 0.483497i \(-0.160633\pi\)
0.875346 + 0.483497i \(0.160633\pi\)
\(678\) 21.5724 + 4.40404i 0.828484 + 0.169136i
\(679\) 5.85605 0.951701i 0.224735 0.0365229i
\(680\) 6.68702 + 2.84907i 0.256436 + 0.109257i
\(681\) −3.68289 + 14.9421i −0.141129 + 0.572582i
\(682\) −0.330789 0.0133303i −0.0126666 0.000510445i
\(683\) −32.8240 + 15.5752i −1.25598 + 0.595968i −0.936181 0.351519i \(-0.885665\pi\)
−0.319795 + 0.947487i \(0.603614\pi\)
\(684\) −0.740471 0.511110i −0.0283126 0.0195428i
\(685\) 4.22348 1.41000i 0.161371 0.0538735i
\(686\) 7.56386 15.9405i 0.288790 0.608611i
\(687\) 1.04908 3.14239i 0.0400250 0.119890i
\(688\) −4.23139 1.04294i −0.161320 0.0397618i
\(689\) −1.82883 + 0.447371i −0.0696730 + 0.0170435i
\(690\) −12.5017 + 3.08138i −0.475930 + 0.117306i
\(691\) 2.13038 26.3894i 0.0810433 1.00390i −0.820623 0.571470i \(-0.806373\pi\)
0.901666 0.432432i \(-0.142344\pi\)
\(692\) −5.24388 5.45945i −0.199342 0.207537i
\(693\) 0.255554 + 0.538569i 0.00970770 + 0.0204585i
\(694\) 6.54067 0.794181i 0.248280 0.0301467i
\(695\) −8.34966 4.82068i −0.316721 0.182859i
\(696\) 12.1137 16.1204i 0.459169 0.611043i
\(697\) 19.7699 13.6462i 0.748840 0.516887i
\(698\) 2.42150 4.19417i 0.0916553 0.158752i
\(699\) −8.51476 14.7480i −0.322058 0.557820i
\(700\) 1.12726 + 0.534891i 0.0426064 + 0.0202170i
\(701\) −29.4661 15.4650i −1.11292 0.584105i −0.194972 0.980809i \(-0.562462\pi\)
−0.917947 + 0.396704i \(0.870154\pi\)
\(702\) −4.98212 2.37474i −0.188038 0.0896290i
\(703\) 11.4803 6.02531i 0.432987 0.227249i
\(704\) −4.24052 + 0.170887i −0.159821 + 0.00644056i
\(705\) −1.09751 + 5.37598i −0.0413348 + 0.202471i
\(706\) −0.526524 + 1.81777i −0.0198160 + 0.0684127i
\(707\) 1.09109 + 2.07889i 0.0410345 + 0.0781847i
\(708\) −2.49350 3.94316i −0.0937115 0.148193i
\(709\) −6.06821 + 37.3392i −0.227896 + 1.40230i 0.580786 + 0.814057i \(0.302745\pi\)
−0.808682 + 0.588246i \(0.799819\pi\)
\(710\) 1.05953 + 4.29867i 0.0397634 + 0.161326i
\(711\) −2.34214 11.4726i −0.0878371 0.430255i
\(712\) −44.2962 3.57596i −1.66007 0.134015i
\(713\) 1.56526 2.47527i 0.0586196 0.0926995i
\(714\) −3.15135 2.79185i −0.117936 0.104482i
\(715\) 0.619344 + 2.15232i 0.0231621 + 0.0804922i
\(716\) 1.14441 1.01386i 0.0427687 0.0378897i
\(717\) −4.05411 24.9460i −0.151404 0.931624i
\(718\) 49.9406 21.2777i 1.86377 0.794077i
\(719\) −9.00648 + 5.69536i −0.335885 + 0.212401i −0.691751 0.722136i \(-0.743160\pi\)
0.355866 + 0.934537i \(0.384186\pi\)
\(720\) 2.74775 3.10157i 0.102403 0.115589i
\(721\) −0.686333 8.50175i −0.0255604 0.316622i
\(722\) 5.87749 + 17.6052i 0.218738 + 0.655199i
\(723\) 5.54463 + 0.673240i 0.206207 + 0.0250381i
\(724\) 5.46465 + 4.10642i 0.203092 + 0.152614i
\(725\) −21.0054 + 25.7270i −0.780121 + 0.955475i
\(726\) 12.4867 + 10.1951i 0.463426 + 0.378375i
\(727\) 9.93325 + 14.3908i 0.368404 + 0.533725i 0.962718 0.270508i \(-0.0871917\pi\)
−0.594314 + 0.804233i \(0.702576\pi\)
\(728\) −5.02316 6.17429i −0.186171 0.228834i
\(729\) 0.568065 0.822984i 0.0210394 0.0304809i
\(730\) 1.03220 0.298981i 0.0382035 0.0110658i
\(731\) −2.54760 1.61101i −0.0942265 0.0595852i
\(732\) 2.24427 + 0.364730i 0.0829508 + 0.0134808i
\(733\) −25.4445 9.64982i −0.939813 0.356424i −0.163337 0.986570i \(-0.552226\pi\)
−0.776477 + 0.630146i \(0.782995\pi\)
\(734\) −17.6229 + 41.3625i −0.650474 + 1.52672i
\(735\) 4.08330 + 3.92206i 0.150615 + 0.144667i
\(736\) −8.27859 + 15.7735i −0.305153 + 0.581420i
\(737\) −5.91825 + 0.477770i −0.218002 + 0.0175989i
\(738\) −3.23767 11.1777i −0.119180 0.411458i
\(739\) 38.4461 36.9280i 1.41426 1.35842i 0.570959 0.820979i \(-0.306572\pi\)
0.843303 0.537438i \(-0.180608\pi\)
\(740\) −0.545744 1.43901i −0.0200619 0.0528990i
\(741\) −4.37870 8.37854i −0.160856 0.307793i
\(742\) −0.246717 + 0.650540i −0.00905728 + 0.0238821i
\(743\) −2.48461 5.83160i −0.0911516 0.213941i 0.868164 0.496278i \(-0.165300\pi\)
−0.959315 + 0.282338i \(0.908890\pi\)
\(744\) 0.0322492 + 0.800256i 0.00118231 + 0.0293388i
\(745\) 0.592896 + 0.726165i 0.0217220 + 0.0266046i
\(746\) 8.49043i 0.310857i
\(747\) −7.19677 + 5.87598i −0.263316 + 0.214991i
\(748\) 0.713283 + 0.206605i 0.0260802 + 0.00755423i
\(749\) −9.32198 10.5223i −0.340618 0.384478i
\(750\) −8.82640 + 9.18925i −0.322294 + 0.335544i
\(751\) −36.2079 12.0880i −1.32124 0.441096i −0.433384 0.901210i \(-0.642680\pi\)
−0.887860 + 0.460114i \(0.847809\pi\)
\(752\) 16.6030 + 22.0946i 0.605448 + 0.805706i
\(753\) 2.56501 + 21.1248i 0.0934743 + 0.769830i
\(754\) −39.6773 + 18.7421i −1.44496 + 0.682546i
\(755\) 0.932025 7.67591i 0.0339198 0.279355i
\(756\) −0.258671 + 0.149344i −0.00940778 + 0.00543158i
\(757\) −4.41120 + 3.31480i −0.160328 + 0.120479i −0.677878 0.735174i \(-0.737100\pi\)
0.517550 + 0.855653i \(0.326844\pi\)
\(758\) −0.256420 + 6.36300i −0.00931360 + 0.231115i
\(759\) 5.93873 2.25226i 0.215562 0.0817520i
\(760\) 5.90953 1.20644i 0.214361 0.0437621i
\(761\) 44.4244 9.06930i 1.61038 0.328762i 0.691221 0.722643i \(-0.257073\pi\)
0.919161 + 0.393881i \(0.128868\pi\)
\(762\) 29.6409 11.2413i 1.07378 0.407230i
\(763\) −0.454444 + 11.2769i −0.0164520 + 0.408251i
\(764\) 1.63720 1.23028i 0.0592319 0.0445099i
\(765\) 2.48200 1.43298i 0.0897370 0.0518097i
\(766\) 6.34072 52.2206i 0.229100 1.88681i
\(767\) −3.85893 48.8682i −0.139338 1.76453i
\(768\) −0.965143 7.94867i −0.0348266 0.286823i
\(769\) −3.76969 5.01655i −0.135939 0.180901i 0.726340 0.687336i \(-0.241220\pi\)
−0.862279 + 0.506434i \(0.830963\pi\)
\(770\) 0.785048 + 0.262088i 0.0282912 + 0.00944498i
\(771\) −1.11950 + 1.16552i −0.0403177 + 0.0419752i
\(772\) −2.05329 2.31768i −0.0738994 0.0834151i