Properties

Label 576.2.bl.a.155.77
Level $576$
Weight $2$
Character 576.155
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 155.77
Character \(\chi\) \(=\) 576.155
Dual form 576.2.bl.a.275.77

$q$-expansion

\(f(q)\) \(=\) \(q+(1.18808 + 0.767120i) q^{2} +(-1.59080 + 0.685103i) q^{3} +(0.823055 + 1.82279i) q^{4} +(0.821400 + 2.41977i) q^{5} +(-2.41555 - 0.406375i) q^{6} +(-2.87209 + 2.20383i) q^{7} +(-0.420448 + 2.79700i) q^{8} +(2.06127 - 2.17972i) q^{9} +O(q^{10})\) \(q+(1.18808 + 0.767120i) q^{2} +(-1.59080 + 0.685103i) q^{3} +(0.823055 + 1.82279i) q^{4} +(0.821400 + 2.41977i) q^{5} +(-2.41555 - 0.406375i) q^{6} +(-2.87209 + 2.20383i) q^{7} +(-0.420448 + 2.79700i) q^{8} +(2.06127 - 2.17972i) q^{9} +(-0.880364 + 3.50498i) q^{10} +(0.0111093 + 0.169495i) q^{11} +(-2.55812 - 2.33582i) q^{12} +(2.52388 - 2.21339i) q^{13} +(-5.10287 + 0.415086i) q^{14} +(-2.96447 - 3.28661i) q^{15} +(-2.64516 + 3.00052i) q^{16} +(-2.69966 - 2.69966i) q^{17} +(4.12105 - 1.00844i) q^{18} +(-0.102664 - 0.516128i) q^{19} +(-3.73468 + 3.48885i) q^{20} +(3.05906 - 5.47353i) q^{21} +(-0.116824 + 0.209895i) q^{22} +(-3.32766 - 2.55340i) q^{23} +(-1.24739 - 4.73751i) q^{24} +(-1.21381 + 0.931389i) q^{25} +(4.69650 - 0.693554i) q^{26} +(-1.78572 + 4.87967i) q^{27} +(-6.38102 - 3.42135i) q^{28} +(2.29000 + 4.64366i) q^{29} +(-1.00080 - 6.17885i) q^{30} +(4.64410 + 8.04382i) q^{31} +(-5.44441 + 1.53570i) q^{32} +(-0.133794 - 0.262021i) q^{33} +(-1.13644 - 5.27837i) q^{34} +(-7.69190 - 5.13956i) q^{35} +(5.66972 + 1.96324i) q^{36} +(-2.76349 - 0.549693i) q^{37} +(0.273959 - 0.691955i) q^{38} +(-2.49859 + 5.25017i) q^{39} +(-7.11345 + 1.28007i) q^{40} +(-1.55355 + 2.02463i) q^{41} +(7.83325 - 4.15631i) q^{42} +(-0.0771319 - 1.17680i) q^{43} +(-0.299811 + 0.159754i) q^{44} +(6.96754 + 3.19736i) q^{45} +(-1.99475 - 5.58635i) q^{46} +(2.09832 + 7.83103i) q^{47} +(2.15224 - 6.58543i) q^{48} +(1.58029 - 5.89773i) q^{49} +(-2.15659 + 0.175425i) q^{50} +(6.14416 + 2.44506i) q^{51} +(6.11184 + 2.77878i) q^{52} +(4.57464 + 6.84644i) q^{53} +(-5.86487 + 4.42756i) q^{54} +(-0.401013 + 0.166105i) q^{55} +(-4.95656 - 8.95984i) q^{56} +(0.516919 + 0.750719i) q^{57} +(-0.841545 + 7.27373i) q^{58} +(8.38447 - 2.84614i) q^{59} +(3.55090 - 8.10869i) q^{60} +(-5.75177 - 11.6634i) q^{61} +(-0.653020 + 13.1193i) q^{62} +(-1.11641 + 10.8030i) q^{63} +(-7.64645 - 2.35199i) q^{64} +(7.42900 + 4.28913i) q^{65} +(0.0420436 - 0.413937i) q^{66} +(0.906986 - 13.8379i) q^{67} +(2.69896 - 7.14290i) q^{68} +(7.04297 + 1.78215i) q^{69} +(-5.19591 - 12.0068i) q^{70} +(-0.271477 + 0.655404i) q^{71} +(5.23003 + 6.68183i) q^{72} +(5.69098 + 13.7392i) q^{73} +(-2.86156 - 2.77301i) q^{74} +(1.29283 - 2.31323i) q^{75} +(0.856297 - 0.611937i) q^{76} +(-0.405445 - 0.462322i) q^{77} +(-6.99602 + 4.32089i) q^{78} +(1.22333 + 4.56553i) q^{79} +(-9.43330 - 3.93604i) q^{80} +(-0.502359 - 8.98597i) q^{81} +(-3.39887 + 1.21366i) q^{82} +(-1.65497 + 4.87539i) q^{83} +(12.4949 + 1.07102i) q^{84} +(4.31505 - 8.75006i) q^{85} +(0.811112 - 1.45730i) q^{86} +(-6.82431 - 5.81823i) q^{87} +(-0.478748 - 0.0401911i) q^{88} +(-6.06744 + 14.6481i) q^{89} +(5.82522 + 9.14365i) q^{90} +(-2.37089 + 11.9193i) q^{91} +(1.91548 - 8.16723i) q^{92} +(-12.8987 - 9.61440i) q^{93} +(-3.51437 + 10.9135i) q^{94} +(1.16458 - 0.672371i) q^{95} +(7.60884 - 6.17297i) q^{96} +(-0.474498 - 0.273952i) q^{97} +(6.40177 - 5.79468i) q^{98} +(0.392351 + 0.325159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} + O(q^{10}) \) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{9}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.18808 + 0.767120i 0.840097 + 0.542435i
\(3\) −1.59080 + 0.685103i −0.918447 + 0.395545i
\(4\) 0.823055 + 1.82279i 0.411528 + 0.911397i
\(5\) 0.821400 + 2.41977i 0.367341 + 1.08215i 0.960789 + 0.277280i \(0.0894331\pi\)
−0.593448 + 0.804873i \(0.702234\pi\)
\(6\) −2.41555 0.406375i −0.986142 0.165902i
\(7\) −2.87209 + 2.20383i −1.08555 + 0.832970i −0.986768 0.162139i \(-0.948161\pi\)
−0.0987800 + 0.995109i \(0.531494\pi\)
\(8\) −0.420448 + 2.79700i −0.148651 + 0.988890i
\(9\) 2.06127 2.17972i 0.687089 0.726573i
\(10\) −0.880364 + 3.50498i −0.278395 + 1.10837i
\(11\) 0.0111093 + 0.169495i 0.00334957 + 0.0511046i 0.999206 0.0398294i \(-0.0126814\pi\)
−0.995857 + 0.0909340i \(0.971015\pi\)
\(12\) −2.55812 2.33582i −0.738464 0.674292i
\(13\) 2.52388 2.21339i 0.699999 0.613883i −0.233545 0.972346i \(-0.575032\pi\)
0.933544 + 0.358463i \(0.116699\pi\)
\(14\) −5.10287 + 0.415086i −1.36380 + 0.110937i
\(15\) −2.96447 3.28661i −0.765423 0.848600i
\(16\) −2.64516 + 3.00052i −0.661290 + 0.750130i
\(17\) −2.69966 2.69966i −0.654764 0.654764i 0.299372 0.954136i \(-0.403223\pi\)
−0.954136 + 0.299372i \(0.903223\pi\)
\(18\) 4.12105 1.00844i 0.971341 0.237691i
\(19\) −0.102664 0.516128i −0.0235528 0.118408i 0.967220 0.253938i \(-0.0817261\pi\)
−0.990773 + 0.135531i \(0.956726\pi\)
\(20\) −3.73468 + 3.48885i −0.835100 + 0.780130i
\(21\) 3.05906 5.47353i 0.667541 1.19442i
\(22\) −0.116824 + 0.209895i −0.0249070 + 0.0447498i
\(23\) −3.32766 2.55340i −0.693865 0.532421i 0.200537 0.979686i \(-0.435731\pi\)
−0.894402 + 0.447265i \(0.852398\pi\)
\(24\) −1.24739 4.73751i −0.254622 0.967041i
\(25\) −1.21381 + 0.931389i −0.242762 + 0.186278i
\(26\) 4.69650 0.693554i 0.921059 0.136017i
\(27\) −1.78572 + 4.87967i −0.343662 + 0.939093i
\(28\) −6.38102 3.42135i −1.20590 0.646575i
\(29\) 2.29000 + 4.64366i 0.425242 + 0.862305i 0.999061 + 0.0433234i \(0.0137946\pi\)
−0.573819 + 0.818982i \(0.694539\pi\)
\(30\) −1.00080 6.17885i −0.182720 1.12810i
\(31\) 4.64410 + 8.04382i 0.834106 + 1.44471i 0.894756 + 0.446554i \(0.147349\pi\)
−0.0606507 + 0.998159i \(0.519318\pi\)
\(32\) −5.44441 + 1.53570i −0.962445 + 0.271475i
\(33\) −0.133794 0.262021i −0.0232906 0.0456120i
\(34\) −1.13644 5.27837i −0.194898 0.905233i
\(35\) −7.69190 5.13956i −1.30017 0.868744i
\(36\) 5.66972 + 1.96324i 0.944953 + 0.327206i
\(37\) −2.76349 0.549693i −0.454315 0.0903689i −0.0373720 0.999301i \(-0.511899\pi\)
−0.416943 + 0.908932i \(0.636899\pi\)
\(38\) 0.273959 0.691955i 0.0444420 0.112250i
\(39\) −2.49859 + 5.25017i −0.400094 + 0.840700i
\(40\) −7.11345 + 1.28007i −1.12474 + 0.202397i
\(41\) −1.55355 + 2.02463i −0.242624 + 0.316194i −0.898753 0.438455i \(-0.855526\pi\)
0.656129 + 0.754649i \(0.272193\pi\)
\(42\) 7.83325 4.15631i 1.20870 0.641333i
\(43\) −0.0771319 1.17680i −0.0117625 0.179461i −0.999698 0.0245924i \(-0.992171\pi\)
0.987935 0.154869i \(-0.0494955\pi\)
\(44\) −0.299811 + 0.159754i −0.0451982 + 0.0240838i
\(45\) 6.96754 + 3.19736i 1.03866 + 0.476635i
\(46\) −1.99475 5.58635i −0.294110 0.823663i
\(47\) 2.09832 + 7.83103i 0.306071 + 1.14227i 0.932019 + 0.362408i \(0.118045\pi\)
−0.625948 + 0.779865i \(0.715288\pi\)
\(48\) 2.15224 6.58543i 0.310650 0.950524i
\(49\) 1.58029 5.89773i 0.225756 0.842532i
\(50\) −2.15659 + 0.175425i −0.304987 + 0.0248088i
\(51\) 6.14416 + 2.44506i 0.860354 + 0.342378i
\(52\) 6.11184 + 2.77878i 0.847560 + 0.385348i
\(53\) 4.57464 + 6.84644i 0.628375 + 0.940430i 0.999928 + 0.0120183i \(0.00382564\pi\)
−0.371552 + 0.928412i \(0.621174\pi\)
\(54\) −5.86487 + 4.42756i −0.798107 + 0.602515i
\(55\) −0.401013 + 0.166105i −0.0540726 + 0.0223976i
\(56\) −4.95656 8.95984i −0.662348 1.19731i
\(57\) 0.516919 + 0.750719i 0.0684676 + 0.0994351i
\(58\) −0.841545 + 7.27373i −0.110500 + 0.955087i
\(59\) 8.38447 2.84614i 1.09157 0.370536i 0.283106 0.959089i \(-0.408635\pi\)
0.808459 + 0.588552i \(0.200302\pi\)
\(60\) 3.55090 8.10869i 0.458419 1.04683i
\(61\) −5.75177 11.6634i −0.736438 1.49335i −0.865067 0.501656i \(-0.832724\pi\)
0.128629 0.991693i \(-0.458942\pi\)
\(62\) −0.653020 + 13.1193i −0.0829337 + 1.66615i
\(63\) −1.11641 + 10.8030i −0.140654 + 1.36105i
\(64\) −7.64645 2.35199i −0.955806 0.293999i
\(65\) 7.42900 + 4.28913i 0.921454 + 0.532002i
\(66\) 0.0420436 0.413937i 0.00517521 0.0509521i
\(67\) 0.906986 13.8379i 0.110806 1.69057i −0.474893 0.880044i \(-0.657513\pi\)
0.585699 0.810529i \(-0.300820\pi\)
\(68\) 2.69896 7.14290i 0.327297 0.866204i
\(69\) 7.04297 + 1.78215i 0.847874 + 0.214546i
\(70\) −5.19591 12.0068i −0.621030 1.43509i
\(71\) −0.271477 + 0.655404i −0.0322184 + 0.0777821i −0.939170 0.343453i \(-0.888403\pi\)
0.906951 + 0.421235i \(0.138403\pi\)
\(72\) 5.23003 + 6.68183i 0.616365 + 0.787461i
\(73\) 5.69098 + 13.7392i 0.666079 + 1.60806i 0.788113 + 0.615530i \(0.211058\pi\)
−0.122035 + 0.992526i \(0.538942\pi\)
\(74\) −2.86156 2.77301i −0.332650 0.322355i
\(75\) 1.29283 2.31323i 0.149283 0.267109i
\(76\) 0.856297 0.611937i 0.0982240 0.0701940i
\(77\) −0.405445 0.462322i −0.0462048 0.0526864i
\(78\) −6.99602 + 4.32089i −0.792143 + 0.489245i
\(79\) 1.22333 + 4.56553i 0.137635 + 0.513663i 0.999973 + 0.00732895i \(0.00233290\pi\)
−0.862338 + 0.506334i \(0.831000\pi\)
\(80\) −9.43330 3.93604i −1.05467 0.440063i
\(81\) −0.502359 8.98597i −0.0558176 0.998441i
\(82\) −3.39887 + 1.21366i −0.375343 + 0.134026i
\(83\) −1.65497 + 4.87539i −0.181657 + 0.535143i −0.999169 0.0407683i \(-0.987019\pi\)
0.817512 + 0.575912i \(0.195353\pi\)
\(84\) 12.4949 + 1.07102i 1.36330 + 0.116858i
\(85\) 4.31505 8.75006i 0.468033 0.949077i
\(86\) 0.811112 1.45730i 0.0874644 0.157145i
\(87\) −6.82431 5.81823i −0.731642 0.623779i
\(88\) −0.478748 0.0401911i −0.0510348 0.00428439i
\(89\) −6.06744 + 14.6481i −0.643147 + 1.55269i 0.179264 + 0.983801i \(0.442628\pi\)
−0.822411 + 0.568894i \(0.807372\pi\)
\(90\) 5.82522 + 9.14365i 0.614032 + 0.963825i
\(91\) −2.37089 + 11.9193i −0.248537 + 1.24948i
\(92\) 1.91548 8.16723i 0.199703 0.851493i
\(93\) −12.8987 9.61440i −1.33753 0.996966i
\(94\) −3.51437 + 10.9135i −0.362480 + 1.12564i
\(95\) 1.16458 0.672371i 0.119483 0.0689838i
\(96\) 7.60884 6.17297i 0.776574 0.630026i
\(97\) −0.474498 0.273952i −0.0481780 0.0278156i 0.475718 0.879598i \(-0.342188\pi\)
−0.523896 + 0.851783i \(0.675522\pi\)
\(98\) 6.40177 5.79468i 0.646676 0.585351i
\(99\) 0.392351 + 0.325159i 0.0394327 + 0.0326797i
\(100\) −2.69676 1.44594i −0.269676 0.144594i
\(101\) 6.95744 + 6.10151i 0.692291 + 0.607123i 0.931455 0.363856i \(-0.118540\pi\)
−0.239164 + 0.970979i \(0.576873\pi\)
\(102\) 5.42408 + 7.61823i 0.537064 + 0.754317i
\(103\) 1.69620 0.223309i 0.167131 0.0220033i −0.0464960 0.998918i \(-0.514805\pi\)
0.213627 + 0.976915i \(0.431472\pi\)
\(104\) 5.12968 + 7.98992i 0.503007 + 0.783476i
\(105\) 15.7574 + 2.90625i 1.53776 + 0.283621i
\(106\) 0.182993 + 11.6434i 0.0177739 + 1.13091i
\(107\) −0.520987 0.779713i −0.0503657 0.0753777i 0.805432 0.592688i \(-0.201933\pi\)
−0.855798 + 0.517310i \(0.826933\pi\)
\(108\) −10.3644 + 0.761234i −0.997314 + 0.0732498i
\(109\) 17.2438 3.43001i 1.65166 0.328535i 0.720584 0.693368i \(-0.243874\pi\)
0.931073 + 0.364833i \(0.118874\pi\)
\(110\) −0.603857 0.110279i −0.0575755 0.0105147i
\(111\) 4.77275 1.01883i 0.453009 0.0967029i
\(112\) 0.984494 14.4473i 0.0930259 1.36514i
\(113\) −5.94587 1.59319i −0.559341 0.149875i −0.0319373 0.999490i \(-0.510168\pi\)
−0.527403 + 0.849615i \(0.676834\pi\)
\(114\) 0.0382484 + 1.28845i 0.00358229 + 0.120674i
\(115\) 3.44530 10.1495i 0.321276 0.946448i
\(116\) −6.57964 + 7.99618i −0.610904 + 0.742427i
\(117\) 0.377834 10.0637i 0.0349308 0.930393i
\(118\) 12.1447 + 3.05045i 1.11801 + 0.280817i
\(119\) 13.7033 + 1.80407i 1.25618 + 0.165379i
\(120\) 10.4391 6.90978i 0.952953 0.630774i
\(121\) 10.8773 1.43202i 0.988844 0.130184i
\(122\) 2.11370 18.2693i 0.191365 1.65403i
\(123\) 1.08431 4.28512i 0.0977685 0.386376i
\(124\) −10.8399 + 15.0858i −0.973450 + 1.35474i
\(125\) 7.37284 + 4.92638i 0.659447 + 0.440628i
\(126\) −9.61360 + 11.9784i −0.856447 + 1.06712i
\(127\) 22.0322i 1.95504i −0.210849 0.977519i \(-0.567623\pi\)
0.210849 0.977519i \(-0.432377\pi\)
\(128\) −7.28031 8.66008i −0.643495 0.765451i
\(129\) 0.928934 + 1.81921i 0.0817881 + 0.160173i
\(130\) 5.53595 + 10.7948i 0.485535 + 0.946762i
\(131\) 4.26801 + 0.279740i 0.372898 + 0.0244410i 0.250700 0.968065i \(-0.419339\pi\)
0.122198 + 0.992506i \(0.461006\pi\)
\(132\) 0.367490 0.459537i 0.0319859 0.0399975i
\(133\) 1.43232 + 1.25611i 0.124198 + 0.108919i
\(134\) 11.6929 15.7448i 1.01011 1.36014i
\(135\) −13.2745 0.312869i −1.14248 0.0269274i
\(136\) 8.68603 6.41589i 0.744821 0.550158i
\(137\) −0.621063 + 4.71744i −0.0530610 + 0.403038i 0.944218 + 0.329320i \(0.106820\pi\)
−0.997279 + 0.0737175i \(0.976514\pi\)
\(138\) 7.00047 + 7.52014i 0.595920 + 0.640157i
\(139\) −0.985281 + 1.99795i −0.0835704 + 0.169464i −0.934646 0.355578i \(-0.884284\pi\)
0.851076 + 0.525042i \(0.175951\pi\)
\(140\) 3.03751 18.2509i 0.256716 1.54248i
\(141\) −8.70306 11.0200i −0.732930 0.928052i
\(142\) −0.825309 + 0.570415i −0.0692584 + 0.0478681i
\(143\) 0.403196 + 0.403196i 0.0337170 + 0.0337170i
\(144\) 1.08791 + 11.9506i 0.0906595 + 0.995882i
\(145\) −9.35556 + 9.35556i −0.776937 + 0.776937i
\(146\) −3.77831 + 20.6889i −0.312696 + 1.71223i
\(147\) 1.52663 + 10.4647i 0.125914 + 0.863118i
\(148\) −1.27253 5.48971i −0.104601 0.451251i
\(149\) 19.3077 + 9.52151i 1.58175 + 0.780032i 0.999457 0.0329474i \(-0.0104894\pi\)
0.582292 + 0.812980i \(0.302156\pi\)
\(150\) 3.31050 1.75655i 0.270302 0.143422i
\(151\) −6.49017 0.854447i −0.528163 0.0695339i −0.138271 0.990395i \(-0.544154\pi\)
−0.389892 + 0.920861i \(0.627488\pi\)
\(152\) 1.48678 0.0701470i 0.120593 0.00568967i
\(153\) −11.4492 + 0.319784i −0.925615 + 0.0258530i
\(154\) −0.127044 0.860299i −0.0102375 0.0693248i
\(155\) −15.6495 + 17.8449i −1.25700 + 1.43333i
\(156\) −11.6265 0.233232i −0.930861 0.0186735i
\(157\) 1.01967 15.5572i 0.0813786 1.24160i −0.740548 0.672004i \(-0.765434\pi\)
0.821926 0.569594i \(-0.192899\pi\)
\(158\) −2.04890 + 6.36265i −0.163002 + 0.506185i
\(159\) −11.9678 7.75718i −0.949112 0.615185i
\(160\) −8.18807 11.9128i −0.647324 0.941789i
\(161\) 15.1846 1.19671
\(162\) 6.29647 11.0614i 0.494698 0.869065i
\(163\) −1.43605 + 2.14921i −0.112481 + 0.168339i −0.883439 0.468547i \(-0.844778\pi\)
0.770958 + 0.636886i \(0.219778\pi\)
\(164\) −4.96914 1.16543i −0.388025 0.0910045i
\(165\) 0.524131 0.538975i 0.0408035 0.0419591i
\(166\) −5.70624 + 4.52278i −0.442890 + 0.351036i
\(167\) 2.33188 + 17.7124i 0.180446 + 1.37062i 0.806680 + 0.590988i \(0.201262\pi\)
−0.626234 + 0.779635i \(0.715405\pi\)
\(168\) 14.0233 + 10.8575i 1.08192 + 0.837676i
\(169\) −0.225932 + 1.71613i −0.0173794 + 0.132010i
\(170\) 11.8390 7.08558i 0.908006 0.543439i
\(171\) −1.33663 0.840098i −0.102215 0.0642439i
\(172\) 2.08159 1.10917i 0.158720 0.0845735i
\(173\) −10.3945 3.52845i −0.790277 0.268263i −0.103022 0.994679i \(-0.532851\pi\)
−0.687255 + 0.726416i \(0.741184\pi\)
\(174\) −3.64453 12.1476i −0.276291 0.920904i
\(175\) 1.43355 5.35006i 0.108366 0.404427i
\(176\) −0.537959 0.415007i −0.0405502 0.0312824i
\(177\) −11.3881 + 10.2719i −0.855981 + 0.772081i
\(178\) −18.4454 + 12.7486i −1.38254 + 0.955549i
\(179\) −4.84608 24.3629i −0.362213 1.82097i −0.545740 0.837954i \(-0.683751\pi\)
0.183527 0.983015i \(-0.441249\pi\)
\(180\) −0.0934663 + 15.3320i −0.00696657 + 1.14278i
\(181\) −17.1138 + 11.4351i −1.27206 + 0.849961i −0.993869 0.110566i \(-0.964734\pi\)
−0.278188 + 0.960527i \(0.589734\pi\)
\(182\) −11.9603 + 12.3422i −0.886556 + 0.914868i
\(183\) 17.1405 + 14.6136i 1.26707 + 1.08027i
\(184\) 8.54098 8.23390i 0.629650 0.607011i
\(185\) −0.939805 7.13853i −0.0690958 0.524835i
\(186\) −7.94923 21.3175i −0.582866 1.56307i
\(187\) 0.427587 0.487570i 0.0312683 0.0356547i
\(188\) −12.5473 + 10.2702i −0.915108 + 0.749029i
\(189\) −5.62522 17.9503i −0.409175 1.30569i
\(190\) 1.89940 + 0.0945440i 0.137797 + 0.00685894i
\(191\) −5.00841 + 8.67482i −0.362396 + 0.627688i −0.988355 0.152168i \(-0.951374\pi\)
0.625959 + 0.779856i \(0.284708\pi\)
\(192\) 13.7753 1.49707i 0.994146 0.108042i
\(193\) −4.65263 8.05858i −0.334903 0.580070i 0.648563 0.761161i \(-0.275370\pi\)
−0.983466 + 0.181092i \(0.942037\pi\)
\(194\) −0.353587 0.689473i −0.0253861 0.0495013i
\(195\) −14.7565 1.73351i −1.05674 0.124139i
\(196\) 12.0510 1.97361i 0.860787 0.140972i
\(197\) 1.91927 + 0.381766i 0.136742 + 0.0271997i 0.262987 0.964799i \(-0.415292\pi\)
−0.126245 + 0.991999i \(0.540292\pi\)
\(198\) 0.216707 + 0.687294i 0.0154007 + 0.0488438i
\(199\) 12.0051 + 4.97268i 0.851020 + 0.352504i 0.765189 0.643805i \(-0.222645\pi\)
0.0858313 + 0.996310i \(0.472645\pi\)
\(200\) −2.09475 3.78663i −0.148121 0.267755i
\(201\) 8.03758 + 22.6347i 0.566927 + 1.59653i
\(202\) 3.58539 + 12.5863i 0.252267 + 0.885566i
\(203\) −16.8109 8.29023i −1.17990 0.581860i
\(204\) 0.600131 + 13.2120i 0.0420176 + 0.925022i
\(205\) −6.17522 2.09620i −0.431296 0.146405i
\(206\) 2.18652 + 1.03588i 0.152342 + 0.0721731i
\(207\) −12.4249 + 1.99012i −0.863590 + 0.138323i
\(208\) −0.0347643 + 13.4277i −0.00241047 + 0.931045i
\(209\) 0.0863405 0.0231349i 0.00597230 0.00160027i
\(210\) 16.4915 + 15.5406i 1.13802 + 1.07241i
\(211\) 8.69567 7.62590i 0.598634 0.524988i −0.305525 0.952184i \(-0.598832\pi\)
0.904159 + 0.427196i \(0.140499\pi\)
\(212\) −8.71446 + 13.9736i −0.598512 + 0.959713i
\(213\) −0.0171545 1.22860i −0.00117540 0.0841825i
\(214\) −0.0208404 1.32602i −0.00142462 0.0906448i
\(215\) 2.78424 1.15327i 0.189883 0.0786523i
\(216\) −12.8977 7.04632i −0.877574 0.479441i
\(217\) −31.0655 12.8678i −2.10887 0.873521i
\(218\) 23.1182 + 9.15295i 1.56576 + 0.619916i
\(219\) −18.4660 17.9574i −1.24782 1.21345i
\(220\) −0.632831 0.594251i −0.0426655 0.0400644i
\(221\) −12.7890 0.838237i −0.860283 0.0563859i
\(222\) 6.45196 + 2.45082i 0.433027 + 0.164488i
\(223\) −1.22879 + 2.12832i −0.0822856 + 0.142523i −0.904231 0.427043i \(-0.859555\pi\)
0.821946 + 0.569566i \(0.192889\pi\)
\(224\) 12.2524 16.4092i 0.818650 1.09639i
\(225\) −0.471818 + 4.56560i −0.0314545 + 0.304374i
\(226\) −5.84199 6.45403i −0.388603 0.429316i
\(227\) −0.694828 + 0.342651i −0.0461174 + 0.0227426i −0.465201 0.885205i \(-0.654018\pi\)
0.419084 + 0.907948i \(0.362351\pi\)
\(228\) −0.942953 + 1.56012i −0.0624486 + 0.103321i
\(229\) −7.12140 20.9790i −0.470595 1.38633i −0.880433 0.474171i \(-0.842748\pi\)
0.409838 0.912158i \(-0.365585\pi\)
\(230\) 11.8792 9.41547i 0.783290 0.620838i
\(231\) 0.961719 + 0.457688i 0.0632764 + 0.0301136i
\(232\) −13.9511 + 4.45271i −0.915938 + 0.292335i
\(233\) −6.68296 16.1341i −0.437815 1.05698i −0.976702 0.214601i \(-0.931155\pi\)
0.538887 0.842378i \(-0.318845\pi\)
\(234\) 8.16899 11.6667i 0.534023 0.762673i
\(235\) −17.2257 + 11.5098i −1.12368 + 0.750820i
\(236\) 12.0888 + 12.9406i 0.786915 + 0.842364i
\(237\) −5.07393 6.42473i −0.329587 0.417331i
\(238\) 14.8966 + 12.6554i 0.965604 + 0.820329i
\(239\) 16.5797 + 4.44253i 1.07245 + 0.287363i 0.751501 0.659732i \(-0.229330\pi\)
0.320953 + 0.947095i \(0.395997\pi\)
\(240\) 17.7031 0.201340i 1.14273 0.0129964i
\(241\) −19.9671 + 5.35017i −1.28619 + 0.344634i −0.836213 0.548404i \(-0.815236\pi\)
−0.449980 + 0.893039i \(0.648569\pi\)
\(242\) 14.0216 + 6.64283i 0.901342 + 0.427017i
\(243\) 6.95547 + 13.9507i 0.446193 + 0.894937i
\(244\) 16.5260 20.0839i 1.05797 1.28574i
\(245\) 15.5692 1.02046i 0.994678 0.0651947i
\(246\) 4.57544 4.25926i 0.291719 0.271560i
\(247\) −1.40150 1.07541i −0.0891755 0.0684268i
\(248\) −24.4512 + 9.60756i −1.55265 + 0.610081i
\(249\) −0.707422 8.88958i −0.0448311 0.563354i
\(250\) 4.98039 + 11.5088i 0.314987 + 0.727878i
\(251\) −3.98046 + 20.0111i −0.251244 + 1.26309i 0.624771 + 0.780808i \(0.285192\pi\)
−0.876015 + 0.482283i \(0.839808\pi\)
\(252\) −20.6106 + 6.85652i −1.29834 + 0.431920i
\(253\) 0.395821 0.592388i 0.0248850 0.0372431i
\(254\) 16.9013 26.1759i 1.06048 1.64242i
\(255\) −0.869673 + 16.8758i −0.0544611 + 1.05680i
\(256\) −2.00625 15.8737i −0.125391 0.992107i
\(257\) 2.02307 1.16802i 0.126196 0.0728591i −0.435573 0.900153i \(-0.643454\pi\)
0.561769 + 0.827294i \(0.310121\pi\)
\(258\) −0.291909 + 2.87397i −0.0181735 + 0.178926i
\(259\) 9.14843 4.51151i 0.568456 0.280331i
\(260\) −1.70374 + 17.0717i −0.105661 + 1.05874i
\(261\) 14.8422 + 4.58026i 0.918707 + 0.283511i
\(262\) 4.85613 + 3.60643i 0.300013 + 0.222806i
\(263\) −13.0950 17.0658i −0.807475 1.05232i −0.997509 0.0705438i \(-0.977527\pi\)
0.190034 0.981777i \(-0.439140\pi\)
\(264\) 0.789126 0.264056i 0.0485674 0.0162515i
\(265\) −12.8092 + 16.6932i −0.786861 + 1.02546i
\(266\) 0.738120 + 2.59112i 0.0452570 + 0.158872i
\(267\) −0.383398 27.4590i −0.0234636 1.68046i
\(268\) 25.9702 9.73613i 1.58638 0.594729i
\(269\) 15.8695 3.15664i 0.967582 0.192464i 0.314086 0.949394i \(-0.398302\pi\)
0.653495 + 0.756930i \(0.273302\pi\)
\(270\) −15.5311 10.5548i −0.945191 0.642345i
\(271\) 9.74610 9.74610i 0.592033 0.592033i −0.346147 0.938180i \(-0.612510\pi\)
0.938180 + 0.346147i \(0.112510\pi\)
\(272\) 15.2414 0.959353i 0.924147 0.0581693i
\(273\) −4.39432 20.5854i −0.265957 1.24589i
\(274\) −4.35671 + 5.12825i −0.263198 + 0.309809i
\(275\) −0.171350 0.195387i −0.0103328 0.0117823i
\(276\) 2.54826 + 14.3047i 0.153387 + 0.861042i
\(277\) 7.98770 0.523542i 0.479934 0.0314566i 0.176483 0.984304i \(-0.443528\pi\)
0.303451 + 0.952847i \(0.401861\pi\)
\(278\) −2.70326 + 1.61789i −0.162131 + 0.0970348i
\(279\) 27.1060 + 6.45762i 1.62280 + 0.386608i
\(280\) 17.6094 19.3533i 1.05236 1.15658i
\(281\) −2.83667 3.69681i −0.169221 0.220533i 0.701042 0.713120i \(-0.252718\pi\)
−0.870264 + 0.492586i \(0.836052\pi\)
\(282\) −1.88624 19.7689i −0.112324 1.17722i
\(283\) 13.5807 4.61004i 0.807291 0.274038i 0.112872 0.993609i \(-0.463995\pi\)
0.694419 + 0.719571i \(0.255662\pi\)
\(284\) −1.41811 + 0.0445864i −0.0841491 + 0.00264572i
\(285\) −1.39197 + 1.86746i −0.0824530 + 0.110619i
\(286\) 0.169729 + 0.788328i 0.0100363 + 0.0466148i
\(287\) 9.23869i 0.545342i
\(288\) −7.87500 + 15.0328i −0.464039 + 0.885815i
\(289\) 2.42366i 0.142568i
\(290\) −18.2920 + 3.93830i −1.07414 + 0.231265i
\(291\) 0.942515 + 0.110721i 0.0552512 + 0.00649058i
\(292\) −20.3598 + 21.6816i −1.19147 + 1.26882i
\(293\) −0.723108 + 0.245462i −0.0422444 + 0.0143400i −0.342482 0.939525i \(-0.611267\pi\)
0.300237 + 0.953865i \(0.402934\pi\)
\(294\) −6.21396 + 13.6040i −0.362405 + 0.793403i
\(295\) 13.7740 + 17.9506i 0.801954 + 1.04513i
\(296\) 2.69940 7.49838i 0.156899 0.435834i
\(297\) −0.846917 0.248461i −0.0491431 0.0144172i
\(298\) 15.6349 + 26.1236i 0.905706 + 1.51330i
\(299\) −14.0503 + 0.920905i −0.812549 + 0.0532573i
\(300\) 5.28062 + 0.452637i 0.304877 + 0.0261330i
\(301\) 2.81501 + 3.20990i 0.162254 + 0.185016i
\(302\) −7.05536 5.99389i −0.405990 0.344909i
\(303\) −15.2480 4.93970i −0.875977 0.283778i
\(304\) 1.82022 + 1.05719i 0.104397 + 0.0606343i
\(305\) 23.4983 23.4983i 1.34551 1.34551i
\(306\) −13.8479 8.40300i −0.791631 0.480367i
\(307\) 19.6666 3.91193i 1.12243 0.223265i 0.401221 0.915981i \(-0.368586\pi\)
0.721211 + 0.692716i \(0.243586\pi\)
\(308\) 0.509014 1.11956i 0.0290037 0.0637928i
\(309\) −2.54532 + 1.51731i −0.144798 + 0.0863168i
\(310\) −32.2820 + 9.19601i −1.83349 + 0.522298i
\(311\) 16.8590 21.9711i 0.955986 1.24587i −0.0132955 0.999912i \(-0.504232\pi\)
0.969282 0.245954i \(-0.0791011\pi\)
\(312\) −13.6342 9.19598i −0.771885 0.520620i
\(313\) −1.58988 2.07197i −0.0898653 0.117115i 0.746257 0.665658i \(-0.231849\pi\)
−0.836122 + 0.548544i \(0.815182\pi\)
\(314\) 13.1457 17.7009i 0.741852 0.998920i
\(315\) −27.0579 + 6.17218i −1.52454 + 0.347763i
\(316\) −7.31516 + 5.98757i −0.411510 + 0.336827i
\(317\) −11.5822 + 5.71171i −0.650522 + 0.320802i −0.737439 0.675414i \(-0.763965\pi\)
0.0869174 + 0.996216i \(0.472298\pi\)
\(318\) −8.26803 18.3969i −0.463648 1.03165i
\(319\) −0.761636 + 0.439731i −0.0426434 + 0.0246202i
\(320\) −0.589525 20.4345i −0.0329555 1.14233i
\(321\) 1.36297 + 0.883434i 0.0760735 + 0.0493085i
\(322\) 18.0405 + 11.6484i 1.00536 + 0.649141i
\(323\) −1.11621 + 1.67053i −0.0621077 + 0.0929507i
\(324\) 15.9661 8.31164i 0.887006 0.461758i
\(325\) −1.00199 + 5.03734i −0.0555804 + 0.279422i
\(326\) −3.35484 + 1.45180i −0.185808 + 0.0804077i
\(327\) −25.0815 + 17.2702i −1.38701 + 0.955046i
\(328\) −5.00970 5.19654i −0.276615 0.286931i
\(329\) −23.2848 17.8671i −1.28373 0.985044i
\(330\) 1.03617 0.238272i 0.0570391 0.0131165i
\(331\) −36.2482 + 2.37584i −1.99238 + 0.130588i −0.992413 + 0.122951i \(0.960764\pi\)
−0.999971 + 0.00763680i \(0.997569\pi\)
\(332\) −10.2490 + 0.996041i −0.562485 + 0.0546648i
\(333\) −6.89447 + 4.89058i −0.377815 + 0.268002i
\(334\) −10.8170 + 22.8325i −0.591882 + 1.24934i
\(335\) 34.2296 9.17179i 1.87016 0.501108i
\(336\) 8.33173 + 23.6571i 0.454533 + 1.29060i
\(337\) −13.0014 3.48371i −0.708229 0.189770i −0.113316 0.993559i \(-0.536147\pi\)
−0.594914 + 0.803790i \(0.702814\pi\)
\(338\) −1.58490 + 1.86557i −0.0862072 + 0.101474i
\(339\) 10.5502 1.53909i 0.573007 0.0835921i
\(340\) 19.5011 + 0.663671i 1.05759 + 0.0359926i
\(341\) −1.31179 + 0.876513i −0.0710376 + 0.0474658i
\(342\) −0.943567 2.02346i −0.0510223 0.109416i
\(343\) −1.23885 2.99084i −0.0668914 0.161490i
\(344\) 3.32396 + 0.279048i 0.179216 + 0.0150452i
\(345\) 1.47270 + 18.5062i 0.0792877 + 0.996342i
\(346\) −9.64269 12.1659i −0.518394 0.654041i
\(347\) −9.65398 28.4397i −0.518253 1.52672i −0.819444 0.573160i \(-0.805717\pi\)
0.301191 0.953564i \(-0.402616\pi\)
\(348\) 4.98865 17.2280i 0.267420 0.923519i
\(349\) 16.8201 8.29476i 0.900360 0.444008i 0.0676442 0.997710i \(-0.478452\pi\)
0.832715 + 0.553701i \(0.186785\pi\)
\(350\) 5.80730 5.25659i 0.310413 0.280976i
\(351\) 6.29364 + 16.2682i 0.335930 + 0.868333i
\(352\) −0.320776 0.905740i −0.0170974 0.0482761i
\(353\) −15.9741 + 27.6679i −0.850215 + 1.47262i 0.0307991 + 0.999526i \(0.490195\pi\)
−0.881014 + 0.473090i \(0.843139\pi\)
\(354\) −21.4097 + 3.46775i −1.13791 + 0.184309i
\(355\) −1.80892 0.118563i −0.0960073 0.00629265i
\(356\) −31.6943 + 0.996494i −1.67979 + 0.0528141i
\(357\) −23.0351 + 6.51825i −1.21915 + 0.344982i
\(358\) 12.9317 32.6625i 0.683464 1.72627i
\(359\) 14.1475 + 5.86010i 0.746679 + 0.309284i 0.723386 0.690444i \(-0.242585\pi\)
0.0232931 + 0.999729i \(0.492585\pi\)
\(360\) −11.8725 + 18.1439i −0.625737 + 0.956268i
\(361\) 17.2979 7.16501i 0.910414 0.377106i
\(362\) −29.1045 + 0.457422i −1.52970 + 0.0240415i
\(363\) −16.3225 + 9.73012i −0.856707 + 0.510699i
\(364\) −23.6777 + 5.48857i −1.24105 + 0.287679i
\(365\) −28.5712 + 25.0563i −1.49548 + 1.31150i
\(366\) 9.15392 + 30.5109i 0.478483 + 1.59483i
\(367\) 30.0823 8.06052i 1.57028 0.420756i 0.634381 0.773021i \(-0.281255\pi\)
0.935900 + 0.352265i \(0.114588\pi\)
\(368\) 16.4637 3.23055i 0.858231 0.168404i
\(369\) 1.21084 + 7.55961i 0.0630337 + 0.393538i
\(370\) 4.35954 9.20206i 0.226642 0.478392i
\(371\) −28.2272 9.58184i −1.46548 0.497464i
\(372\) 6.90875 31.4248i 0.358202 1.62930i
\(373\) 27.7955 + 13.7072i 1.43920 + 0.709733i 0.983585 0.180446i \(-0.0577542\pi\)
0.455611 + 0.890179i \(0.349421\pi\)
\(374\) 0.882031 0.251260i 0.0456088 0.0129924i
\(375\) −15.1038 2.78570i −0.779955 0.143853i
\(376\) −22.7856 + 2.57646i −1.17508 + 0.132871i
\(377\) 16.0579 + 6.65140i 0.827024 + 0.342564i
\(378\) 7.08682 25.6415i 0.364507 1.31886i
\(379\) 20.0686 + 3.99189i 1.03085 + 0.205050i 0.681406 0.731906i \(-0.261369\pi\)
0.349448 + 0.936956i \(0.386369\pi\)
\(380\) 2.18411 + 1.56939i 0.112042 + 0.0805082i
\(381\) 15.0943 + 35.0487i 0.773305 + 1.79560i
\(382\) −12.6050 + 6.46431i −0.644928 + 0.330743i
\(383\) −7.51995 13.0249i −0.384251 0.665543i 0.607414 0.794386i \(-0.292207\pi\)
−0.991665 + 0.128843i \(0.958874\pi\)
\(384\) 17.5145 + 8.78867i 0.893785 + 0.448495i
\(385\) 0.785678 1.36083i 0.0400418 0.0693545i
\(386\) 0.654219 13.1433i 0.0332989 0.668978i
\(387\) −2.72409 2.25758i −0.138474 0.114759i
\(388\) 0.108819 1.09039i 0.00552447 0.0553562i
\(389\) 13.4652 15.3541i 0.682714 0.778486i −0.301880 0.953346i \(-0.597614\pi\)
0.984593 + 0.174860i \(0.0559474\pi\)
\(390\) −16.2021 13.3796i −0.820424 0.677500i
\(391\) 2.09023 + 15.8769i 0.105708 + 0.802928i
\(392\) 15.8315 + 6.89977i 0.799613 + 0.348491i
\(393\) −6.98118 + 2.47902i −0.352154 + 0.125050i
\(394\) 1.98738 + 1.92588i 0.100123 + 0.0970242i
\(395\) −10.0427 + 6.71031i −0.505302 + 0.337632i
\(396\) −0.269772 + 0.982798i −0.0135566 + 0.0493875i
\(397\) 4.26166 + 21.4248i 0.213887 + 1.07528i 0.927237 + 0.374474i \(0.122177\pi\)
−0.713351 + 0.700807i \(0.752823\pi\)
\(398\) 10.4484 + 15.1173i 0.523729 + 0.757762i
\(399\) −3.13910 1.01693i −0.157151 0.0509102i
\(400\) 0.416069 6.10573i 0.0208035 0.305287i
\(401\) −5.38965 + 20.1144i −0.269146 + 1.00447i 0.690517 + 0.723316i \(0.257383\pi\)
−0.959663 + 0.281151i \(0.909284\pi\)
\(402\) −7.81426 + 33.0576i −0.389740 + 1.64876i
\(403\) 29.5253 + 10.0225i 1.47076 + 0.499255i
\(404\) −5.39545 + 17.7039i −0.268434 + 0.880801i
\(405\) 21.3313 8.59667i 1.05996 0.427172i
\(406\) −13.6131 22.7454i −0.675606 1.12884i
\(407\) 0.0624697 0.474504i 0.00309651 0.0235203i
\(408\) −9.42215 + 16.1572i −0.466466 + 0.799901i
\(409\) 0.979946 + 7.44343i 0.0484552 + 0.368054i 0.998444 + 0.0557690i \(0.0177610\pi\)
−0.949988 + 0.312285i \(0.898906\pi\)
\(410\) −5.72860 7.22758i −0.282915 0.356945i
\(411\) −2.24395 7.92998i −0.110686 0.391157i
\(412\) 1.80311 + 2.90803i 0.0888330 + 0.143268i
\(413\) −17.8085 + 26.6524i −0.876301 + 1.31148i
\(414\) −16.2884 7.16696i −0.800531 0.352237i
\(415\) −13.1567 −0.645837
\(416\) −10.3420 + 15.9265i −0.507057 + 0.780861i
\(417\) 0.198578 3.85335i 0.00972439 0.188700i
\(418\) 0.120326 + 0.0387475i 0.00588536 + 0.00189520i
\(419\) 0.218587 3.33500i 0.0106787 0.162925i −0.989189 0.146647i \(-0.953152\pi\)
0.999868 0.0162778i \(-0.00518162\pi\)
\(420\) 7.67169 + 31.1145i 0.374340 + 1.51823i
\(421\) −8.60583 + 9.81306i −0.419422 + 0.478259i −0.922508 0.385977i \(-0.873864\pi\)
0.503086 + 0.864236i \(0.332198\pi\)
\(422\) 16.1811 2.38954i 0.787684 0.116321i
\(423\) 21.3946 + 11.5681i 1.04024 + 0.562460i
\(424\) −21.0729 + 9.91671i −1.02339 + 0.481598i
\(425\) 5.79131 + 0.762440i 0.280920 + 0.0369838i
\(426\) 0.922105 1.47284i 0.0446761 0.0713591i
\(427\) 42.2238 + 20.8225i 2.04335 + 1.00767i
\(428\) 0.992455 1.59140i 0.0479721 0.0769232i
\(429\) −0.917634 0.365172i −0.0443038 0.0176307i
\(430\) 4.19259 + 0.765671i 0.202184 + 0.0369239i
\(431\) −4.22576 + 4.22576i −0.203548 + 0.203548i −0.801518 0.597970i \(-0.795974\pi\)
0.597970 + 0.801518i \(0.295974\pi\)
\(432\) −9.91804 18.2656i −0.477182 0.878805i
\(433\) −10.5325 10.5325i −0.506161 0.506161i 0.407185 0.913346i \(-0.366511\pi\)
−0.913346 + 0.407185i \(0.866511\pi\)
\(434\) −27.0371 39.1189i −1.29782 1.87777i
\(435\) 8.47327 21.2923i 0.406262 1.02089i
\(436\) 20.4448 + 28.6088i 0.979128 + 1.37011i
\(437\) −0.976251 + 1.97964i −0.0467004 + 0.0946991i
\(438\) −8.16353 35.5004i −0.390068 1.69628i
\(439\) 2.10073 15.9567i 0.100263 0.761570i −0.865273 0.501300i \(-0.832855\pi\)
0.965536 0.260270i \(-0.0838114\pi\)
\(440\) −0.295991 1.19147i −0.0141108 0.0568012i
\(441\) −9.59799 15.6014i −0.457047 0.742923i
\(442\) −14.5513 10.8066i −0.692136 0.514018i
\(443\) −6.22524 5.45939i −0.295770 0.259383i 0.498580 0.866844i \(-0.333855\pi\)
−0.794350 + 0.607460i \(0.792188\pi\)
\(444\) 5.78535 + 7.86119i 0.274561 + 0.373076i
\(445\) −40.4288 2.64984i −1.91651 0.125615i
\(446\) −3.09257 + 1.58598i −0.146437 + 0.0750984i
\(447\) −37.2379 1.91901i −1.76129 0.0907658i
\(448\) 27.1447 10.0964i 1.28247 0.477008i
\(449\) 20.7567i 0.979569i −0.871843 0.489785i \(-0.837075\pi\)
0.871843 0.489785i \(-0.162925\pi\)
\(450\) −4.06292 + 5.06235i −0.191528 + 0.238641i
\(451\) −0.360423 0.240827i −0.0169717 0.0113401i
\(452\) −1.98972 12.1494i −0.0935886 0.571459i
\(453\) 10.9099 3.08719i 0.512593 0.145049i
\(454\) −1.08836 0.125920i −0.0510794 0.00590972i
\(455\) −30.7893 + 4.05349i −1.44342 + 0.190030i
\(456\) −2.31710 + 1.13018i −0.108508 + 0.0529257i
\(457\) 8.22211 + 1.08246i 0.384614 + 0.0506354i 0.320354 0.947298i \(-0.396198\pi\)
0.0642597 + 0.997933i \(0.479531\pi\)
\(458\) 7.63260 30.3876i 0.356648 1.41992i
\(459\) 17.9943 8.35262i 0.839902 0.389867i
\(460\) 21.3362 2.07355i 0.994804 0.0966796i
\(461\) 4.53586 13.3622i 0.211256 0.622340i −0.788715 0.614759i \(-0.789253\pi\)
0.999971 0.00758126i \(-0.00241321\pi\)
\(462\) 0.791495 + 1.28152i 0.0368237 + 0.0596218i
\(463\) 2.29588 + 0.615180i 0.106699 + 0.0285898i 0.311773 0.950157i \(-0.399077\pi\)
−0.205075 + 0.978746i \(0.565744\pi\)
\(464\) −19.9908 5.41203i −0.928050 0.251247i
\(465\) 12.6696 39.1091i 0.587540 1.81364i
\(466\) 4.43690 24.2952i 0.205536 1.12545i
\(467\) −8.15543 + 1.62222i −0.377388 + 0.0750672i −0.380140 0.924929i \(-0.624124\pi\)
0.00275160 + 0.999996i \(0.499124\pi\)
\(468\) 18.6551 7.59430i 0.862333 0.351047i
\(469\) 27.8915 + 41.7426i 1.28791 + 1.92750i
\(470\) −29.2949 + 0.460414i −1.35127 + 0.0212373i
\(471\) 9.03618 + 25.4469i 0.416365 + 1.17253i
\(472\) 4.43544 + 24.6480i 0.204158 + 1.13452i
\(473\) 0.198606 0.0261469i 0.00913189 0.00120224i
\(474\) −1.09969 11.5254i −0.0505105 0.529378i
\(475\) 0.605330 + 0.530860i 0.0277745 + 0.0243575i
\(476\) 7.99010 + 26.4631i 0.366226 + 1.21293i
\(477\) 24.3529 + 4.14089i 1.11504 + 0.189598i
\(478\) 16.2901 + 17.9967i 0.745090 + 0.823150i
\(479\) −18.9328 10.9309i −0.865063 0.499444i 0.000641683 1.00000i \(-0.499796\pi\)
−0.865704 + 0.500556i \(0.833129\pi\)
\(480\) 21.1870 + 13.3412i 0.967052 + 0.608938i
\(481\) −8.19141 + 4.72931i −0.373496 + 0.215638i
\(482\) −27.8267 8.96074i −1.26747 0.408150i
\(483\) −24.1556 + 10.4030i −1.09912 + 0.473354i
\(484\) 11.5629 + 18.6484i 0.525586 + 0.847656i
\(485\) 0.273146 1.37320i 0.0124029 0.0623538i
\(486\) −2.43821 + 21.9102i −0.110599 + 0.993865i
\(487\) 10.6555 25.7248i 0.482849 1.16570i −0.475402 0.879769i \(-0.657697\pi\)
0.958250 0.285931i \(-0.0923028\pi\)
\(488\) 35.0410 11.1838i 1.58623 0.506268i
\(489\) 0.812041 4.40280i 0.0367218 0.199101i
\(490\) 19.2802 + 10.7310i 0.870991 + 0.484779i
\(491\) 8.63613 17.5123i 0.389743 0.790321i −0.610255 0.792205i \(-0.708933\pi\)
0.999998 + 0.00188388i \(0.000599657\pi\)
\(492\) 8.70333 1.55042i 0.392376 0.0698984i
\(493\) 6.35408 18.7185i 0.286173 0.843040i
\(494\) −0.840125 2.35279i −0.0377990 0.105857i
\(495\) −0.464532 + 1.21648i −0.0208792 + 0.0546768i
\(496\) −36.4201 7.34247i −1.63531 0.329687i
\(497\) −0.664693 2.48067i −0.0298156 0.111273i
\(498\) 5.97890 11.1042i 0.267921 0.497590i
\(499\) 1.55276 + 1.77058i 0.0695111 + 0.0792623i 0.785550 0.618798i \(-0.212380\pi\)
−0.716039 + 0.698060i \(0.754047\pi\)
\(500\) −2.91152 + 17.4939i −0.130207 + 0.782349i
\(501\) −15.8443 26.5792i −0.707873 1.18747i
\(502\) −20.0800 + 20.7213i −0.896215 + 0.924836i
\(503\) 2.61891 + 6.32260i 0.116771 + 0.281911i 0.971449 0.237248i \(-0.0762454\pi\)
−0.854678 + 0.519159i \(0.826245\pi\)
\(504\) −29.7467 7.66471i −1.32502 0.341413i
\(505\) −9.04940 + 21.8472i −0.402693 + 0.972187i
\(506\) 0.924698 0.400161i 0.0411078 0.0177893i
\(507\) −0.816312 2.88480i −0.0362537 0.128118i
\(508\) 40.1601 18.1337i 1.78182 0.804552i
\(509\) 0.775421 11.8306i 0.0343699 0.524384i −0.945612 0.325297i \(-0.894536\pi\)
0.979982 0.199087i \(-0.0637976\pi\)
\(510\) −13.9790 + 19.3826i −0.619001 + 0.858277i
\(511\) −46.6240 26.9184i −2.06252 1.19080i
\(512\) 9.79346 20.3982i 0.432814 0.901483i
\(513\) 2.70186 + 0.420693i 0.119290 + 0.0185741i
\(514\) 3.29958 + 0.164239i 0.145538 + 0.00724426i
\(515\) 1.93361 + 3.92098i 0.0852052 + 0.172779i
\(516\) −2.55149 + 3.19057i −0.112323 + 0.140457i
\(517\) −1.30401 + 0.442651i −0.0573502 + 0.0194678i
\(518\) 14.3299 + 1.65792i 0.629620 + 0.0728449i
\(519\) 18.9528 1.50824i 0.831937 0.0662046i
\(520\) −15.1202 + 18.9756i −0.663066 + 0.832134i
\(521\) 11.0127 4.56160i 0.482474 0.199847i −0.128170 0.991752i \(-0.540910\pi\)
0.610645 + 0.791905i \(0.290910\pi\)
\(522\) 14.1200 + 16.8274i 0.618017 + 0.736516i
\(523\) 13.8826 + 20.7768i 0.607046 + 0.908508i 0.999939 0.0110762i \(-0.00352574\pi\)
−0.392893 + 0.919584i \(0.628526\pi\)
\(524\) 3.00290 + 8.00994i 0.131182 + 0.349916i
\(525\) 1.38487 + 9.49299i 0.0604406 + 0.414308i
\(526\) −2.46642 30.3209i −0.107541 1.32206i
\(527\) 9.17809 34.2531i 0.399804 1.49209i
\(528\) 1.14011 + 0.291635i 0.0496167 + 0.0126918i
\(529\) −1.39939 5.22258i −0.0608429 0.227069i
\(530\) −28.0240 + 10.0067i −1.21728 + 0.434663i
\(531\) 11.0788 24.1425i 0.480780 1.04769i
\(532\) −1.11075 + 3.64467i −0.0481573 + 0.158017i
\(533\) 0.560301 + 8.54854i 0.0242693 + 0.370278i
\(534\) 20.6088 32.9175i 0.891830 1.42448i
\(535\) 1.45878 1.90112i 0.0630687 0.0821928i
\(536\) 38.3234 + 8.35498i 1.65532 + 0.360880i
\(537\) 24.4002 + 35.4364i 1.05295 + 1.52919i
\(538\) 21.2757 + 8.42348i 0.917262 + 0.363162i
\(539\) 1.01719 + 0.202332i 0.0438135 + 0.00871505i
\(540\) −10.3553 24.4541i −0.445622 1.05234i
\(541\) 13.1251 + 8.76990i 0.564292 + 0.377048i 0.804752 0.593611i \(-0.202298\pi\)
−0.240460 + 0.970659i \(0.577298\pi\)
\(542\) 19.0555 4.10269i 0.818505 0.176226i
\(543\) 19.3903 29.9155i 0.832119 1.28380i
\(544\) 18.8439 + 10.5522i 0.807927 + 0.452422i
\(545\) 22.4639 + 38.9086i 0.962247 + 1.66666i
\(546\) 10.5707 27.8280i 0.452383 1.19093i
\(547\) 14.6387 + 29.6844i 0.625906 + 1.26921i 0.946716 + 0.322069i \(0.104378\pi\)
−0.320810 + 0.947144i \(0.603955\pi\)
\(548\) −9.11009 + 2.75064i −0.389164 + 0.117502i
\(549\) −37.2789 11.5042i −1.59103 0.490987i
\(550\) −0.0536917 0.363581i −0.00228942 0.0155032i
\(551\) 2.16162 1.65867i 0.0920881 0.0706617i
\(552\) −7.94590 + 18.9499i −0.338200 + 0.806562i
\(553\) −13.5752 10.4166i −0.577276 0.442959i
\(554\) 9.89163 + 5.50551i 0.420255 + 0.233907i
\(555\) 6.38567 + 10.7121i 0.271056 + 0.454702i
\(556\) −4.45280 0.151540i −0.188841 0.00642673i
\(557\) 6.12253 + 30.7800i 0.259420 + 1.30419i 0.862315 + 0.506372i \(0.169014\pi\)
−0.602895 + 0.797820i \(0.705986\pi\)
\(558\) 27.2503 + 28.4657i 1.15360 + 1.20505i
\(559\) −2.79940 2.79940i −0.118402 0.118402i
\(560\) 35.7677 9.48473i 1.51146 0.400803i
\(561\) −0.346169 + 1.06857i −0.0146153 + 0.0451149i
\(562\) −0.534279 6.56816i −0.0225372 0.277061i
\(563\) 22.5779 19.8003i 0.951546 0.834484i −0.0347620 0.999396i \(-0.511067\pi\)
0.986308 + 0.164912i \(0.0527340\pi\)
\(564\) 12.9241 24.9340i 0.544203 1.04991i
\(565\) −1.02879 15.6963i −0.0432815 0.660348i
\(566\) 19.6714 + 4.94097i 0.826851 + 0.207684i
\(567\) 21.2464 + 24.7014i 0.892264 + 1.03736i
\(568\) −1.71902 1.03489i −0.0721286 0.0434228i
\(569\) −9.36890 + 7.18901i −0.392765 + 0.301379i −0.786199 0.617974i \(-0.787954\pi\)
0.393434 + 0.919353i \(0.371287\pi\)
\(570\) −3.08633 + 1.15089i −0.129272 + 0.0482053i
\(571\) 0.601470 + 1.77187i 0.0251707 + 0.0741506i 0.958789 0.284118i \(-0.0917006\pi\)
−0.933619 + 0.358268i \(0.883367\pi\)
\(572\) −0.403091 + 1.06680i −0.0168541 + 0.0446050i
\(573\) 2.02421 17.2311i 0.0845627 0.719842i
\(574\) 7.08718 10.9763i 0.295813 0.458141i
\(575\) 6.41735 0.267622
\(576\) −20.8880 + 11.8190i −0.870335 + 0.492460i
\(577\) 14.1374 0.588546 0.294273 0.955721i \(-0.404923\pi\)
0.294273 + 0.955721i \(0.404923\pi\)
\(578\) 1.85924 2.87949i 0.0773340 0.119771i
\(579\) 12.9223 + 9.63204i 0.537034 + 0.400294i
\(580\) −24.7534 9.35313i −1.02783 0.388367i
\(581\) −5.99131 17.6498i −0.248561 0.732238i
\(582\) 1.03484 + 0.854567i 0.0428957 + 0.0354229i
\(583\) −1.10961 + 0.851437i −0.0459556 + 0.0352629i
\(584\) −40.8214 + 10.1410i −1.68920 + 0.419639i
\(585\) 24.6623 7.35209i 1.01966 0.303971i
\(586\) −1.04741 0.263082i −0.0432680 0.0108678i
\(587\) 2.52116 + 38.4655i 0.104059 + 1.58764i 0.656656 + 0.754191i \(0.271971\pi\)
−0.552596 + 0.833449i \(0.686363\pi\)
\(588\) −17.8186 + 11.3958i −0.734826 + 0.469955i
\(589\) 3.67486 3.22276i 0.151420 0.132792i
\(590\) 2.59430 + 31.8931i 0.106806 + 1.31302i
\(591\) −3.31471 + 0.707585i −0.136349 + 0.0291061i
\(592\) 8.95924 6.83789i 0.368223 0.281036i
\(593\) −32.8244 32.8244i −1.34794 1.34794i −0.887899 0.460038i \(-0.847836\pi\)
−0.460038 0.887899i \(-0.652164\pi\)
\(594\) −0.815604 0.944878i −0.0334646 0.0387688i
\(595\) 6.89044 + 34.6406i 0.282481 + 1.42013i
\(596\) −1.46444 + 43.0307i −0.0599860 + 1.76261i
\(597\) −22.5045 + 0.314221i −0.921048 + 0.0128602i
\(598\) −17.3993 9.68415i −0.711509 0.396014i
\(599\) 28.6990 + 22.0215i 1.17261 + 0.899774i 0.996416 0.0845823i \(-0.0269556\pi\)
0.176191 + 0.984356i \(0.443622\pi\)
\(600\) 5.92656 + 4.58863i 0.241951 + 0.187330i
\(601\) −8.08747 + 6.20574i −0.329895 + 0.253137i −0.760406 0.649448i \(-0.775000\pi\)
0.430511 + 0.902585i \(0.358333\pi\)
\(602\) 0.882070 + 5.97306i 0.0359505 + 0.243444i
\(603\) −28.2933 30.5006i −1.15219 1.24208i
\(604\) −3.78429 12.5335i −0.153980 0.509981i
\(605\) 12.3998 + 25.1442i 0.504122 + 1.02226i
\(606\) −14.3265 17.5658i −0.581975 0.713563i
\(607\) 13.4503 + 23.2966i 0.545932 + 0.945582i 0.998548 + 0.0538760i \(0.0171576\pi\)
−0.452616 + 0.891706i \(0.649509\pi\)
\(608\) 1.35156 + 2.65235i 0.0548131 + 0.107567i
\(609\) 32.4224 + 1.67085i 1.31382 + 0.0677062i
\(610\) 45.9438 9.89178i 1.86021 0.400506i
\(611\) 22.6290 + 15.1202i 0.915471 + 0.611698i
\(612\) −10.0062 20.6064i −0.404479 0.832964i
\(613\) −8.48144 1.68706i −0.342562 0.0681398i 0.0208114 0.999783i \(-0.493375\pi\)
−0.363373 + 0.931644i \(0.618375\pi\)
\(614\) 26.3663 + 10.4390i 1.06406 + 0.421282i
\(615\) 11.2596 0.896029i 0.454032 0.0361314i
\(616\) 1.46358 0.939649i 0.0589694 0.0378595i
\(617\) −19.0166 + 24.7830i −0.765581 + 0.997725i 0.234094 + 0.972214i \(0.424788\pi\)
−0.999675 + 0.0255105i \(0.991879\pi\)
\(618\) −4.18799 0.149881i −0.168466 0.00602909i
\(619\) 0.121955 + 1.86068i 0.00490180 + 0.0747871i 0.999609 0.0279636i \(-0.00890227\pi\)
−0.994707 + 0.102751i \(0.967236\pi\)
\(620\) −45.4079 13.8386i −1.82363 0.555770i
\(621\) 18.4020 11.6782i 0.738449 0.468631i
\(622\) 36.8842 13.1705i 1.47892 0.528088i
\(623\) −14.8557 55.4423i −0.595181 2.22125i
\(624\) −9.14408 21.3846i −0.366056 0.856069i
\(625\) −7.84456 + 29.2763i −0.313782 + 1.17105i
\(626\) −0.299450 3.68129i −0.0119684 0.147134i
\(627\) −0.121500 + 0.0959550i −0.00485226 + 0.00383207i
\(628\) 29.1968 10.9458i 1.16508 0.436783i
\(629\) 5.97651 + 8.94448i 0.238299 + 0.356640i
\(630\) −36.8816 13.4236i −1.46940 0.534809i
\(631\) −6.08900 + 2.52215i −0.242399 + 0.100405i −0.500576 0.865693i \(-0.666878\pi\)
0.258176 + 0.966098i \(0.416878\pi\)
\(632\) −13.2842 + 1.50209i −0.528415 + 0.0597499i
\(633\) −8.60851 + 18.0887i −0.342158 + 0.718961i
\(634\) −18.1421 2.09898i −0.720516 0.0833612i
\(635\) 53.3127 18.0972i 2.11565 0.718166i
\(636\) 4.28956 28.1995i 0.170092 1.11818i
\(637\) −9.06548 18.3830i −0.359187 0.728360i
\(638\) −1.24221 0.0618318i −0.0491795 0.00244794i
\(639\) 0.869010 + 1.94271i 0.0343775 + 0.0768522i
\(640\) 14.9753 24.7301i 0.591952 0.977541i
\(641\) 5.02100 + 2.89887i 0.198317 + 0.114499i 0.595870 0.803081i \(-0.296807\pi\)
−0.397553 + 0.917579i \(0.630141\pi\)
\(642\) 0.941612 + 2.09515i 0.0371625 + 0.0826889i
\(643\) 1.37939 21.0454i 0.0543977 0.829948i −0.880281 0.474454i \(-0.842646\pi\)
0.934678 0.355495i \(-0.115688\pi\)
\(644\) 12.4978 + 27.6784i 0.492481 + 1.09068i
\(645\) −3.63905 + 3.74211i −0.143287 + 0.147345i
\(646\) −2.60764 + 1.12845i −0.102596 + 0.0443983i
\(647\) −3.72063 + 8.98239i −0.146273 + 0.353134i −0.979987 0.199063i \(-0.936210\pi\)
0.833714 + 0.552197i \(0.186210\pi\)
\(648\) 25.3450 + 2.37304i 0.995645 + 0.0932217i
\(649\) 0.575552 + 1.38951i 0.0225924 + 0.0545429i
\(650\) −5.05469 + 5.21611i −0.198261 + 0.204593i
\(651\) 58.2347 0.813106i 2.28240 0.0318681i
\(652\) −5.09952 0.848716i −0.199713 0.0332383i
\(653\) −3.05276 3.48100i −0.119464 0.136222i 0.689016 0.724746i \(-0.258043\pi\)
−0.808480 + 0.588524i \(0.799709\pi\)
\(654\) −43.0471 + 1.27788i −1.68327 + 0.0499690i
\(655\) 2.82884 + 10.5574i 0.110532 + 0.412510i
\(656\) −1.96555 10.0169i −0.0767417 0.391096i
\(657\) 41.6783 + 15.9155i 1.62603 + 0.620922i
\(658\) −13.9580 39.0897i −0.544139 1.52388i
\(659\) 14.1256 41.6126i 0.550255 1.62100i −0.214533 0.976717i \(-0.568823\pi\)
0.764788 0.644282i \(-0.222844\pi\)
\(660\) 1.41383 + 0.511777i 0.0550332 + 0.0199209i
\(661\) 3.14214 6.37163i 0.122215 0.247828i −0.827164 0.561961i \(-0.810047\pi\)
0.949379 + 0.314133i \(0.101714\pi\)
\(662\) −44.8883 24.9841i −1.74463 0.971033i
\(663\) 20.9190 7.42834i 0.812427 0.288493i
\(664\) −12.9406 6.67881i −0.502194 0.259188i
\(665\) −1.86299 + 4.49765i −0.0722436 + 0.174411i
\(666\) −11.9428 + 0.521498i −0.462775 + 0.0202077i
\(667\) 4.23679 21.2998i 0.164049 0.824732i
\(668\) −30.3667 + 18.8288i −1.17492 + 0.728507i
\(669\) 0.496629 4.22757i 0.0192008 0.163447i
\(670\) 47.7032 + 15.3614i 1.84294 + 0.593462i
\(671\) 1.91299 1.10447i 0.0738503 0.0426375i
\(672\) −8.24910 + 34.4979i −0.318216 + 1.33079i
\(673\) −42.7364 24.6739i −1.64737 0.951107i −0.978113 0.208073i \(-0.933281\pi\)
−0.669253 0.743034i \(-0.733386\pi\)
\(674\) −12.7742 14.1125i −0.492044 0.543594i
\(675\) −2.37734 7.58619i −0.0915040 0.291993i
\(676\) −3.31410 + 1.00064i −0.127465 + 0.0384861i
\(677\) −5.10743 4.47909i −0.196294 0.172146i 0.555556 0.831479i \(-0.312505\pi\)
−0.751851 + 0.659333i \(0.770839\pi\)
\(678\) 13.7151 + 6.26468i 0.526725 + 0.240594i
\(679\) 1.96655 0.258901i 0.0754691 0.00993569i
\(680\) 22.6597 + 15.7482i 0.868959 + 0.603914i
\(681\) 0.870578 1.02112i 0.0333606 0.0391293i
\(682\) −2.23090 + 0.0350620i −0.0854257 + 0.00134259i
\(683\) 22.0360 + 32.9792i 0.843183 + 1.26191i 0.963104 + 0.269130i \(0.0867360\pi\)
−0.119921 + 0.992783i \(0.538264\pi\)
\(684\) 0.431204 3.12785i 0.0164875 0.119596i
\(685\) −11.9252 + 2.37208i −0.455640 + 0.0906325i
\(686\) 0.822486 4.50369i 0.0314027 0.171952i
\(687\) 25.7015 + 28.4944i 0.980572 + 1.08713i
\(688\) 3.73505 + 2.88140i 0.142398 + 0.109852i
\(689\) 26.6997 + 7.15416i 1.01718 + 0.272552i
\(690\) −12.4468 + 23.1166i −0.473842 + 0.880032i
\(691\) 0.860826 2.53591i 0.0327474 0.0964706i −0.929327 0.369257i \(-0.879612\pi\)
0.962074 + 0.272787i \(0.0879454\pi\)
\(692\) −2.12359 21.8511i −0.0807267 0.830654i
\(693\) −1.84346 0.0692112i −0.0700273 0.00262912i
\(694\) 10.3470 41.1943i 0.392766 1.56372i
\(695\) −5.64389 0.743032i −0.214085 0.0281848i
\(696\) 19.1429 16.6413i 0.725608 0.630788i
\(697\) 9.65988 1.27175i 0.365894 0.0481709i
\(698\) 26.3467 + 3.04822i 0.997236 + 0.115377i
\(699\) 21.6847 + 21.0875i 0.820192 + 0.797604i
\(700\) 10.9320 1.79034i 0.413189 0.0676684i
\(701\) −33.2644 22.2266i −1.25638 0.839487i −0.264221 0.964462i \(-0.585115\pi\)
−0.992160 + 0.124976i \(0.960115\pi\)
\(702\) −5.00233 + 24.1559i −0.188801 + 0.911705i
\(703\) 1.48275i 0.0559229i
\(704\) 0.313704 1.32216i 0.0118232 0.0498309i
\(705\) 19.5172 30.1112i 0.735059 1.13405i
\(706\) −40.2031 + 20.6176i −1.51306 + 0.775954i
\(707\) −33.4291 2.19106i −1.25723 0.0824033i
\(708\) −28.0965 12.3038i −1.05593 0.462406i
\(709\) −31.1828 27.3465i −1.17109 1.02702i −0.999121 0.0419190i \(-0.986653\pi\)
−0.171972 0.985102i \(-0.555014\pi\)
\(710\) −2.05818 1.52852i −0.0772421 0.0573642i
\(711\) 12.4732 + 6.74426i 0.467781 + 0.252930i
\(712\) −38.4197 23.1294i −1.43984 0.866811i
\(713\) 5.08513 38.6254i 0.190440 1.44653i
\(714\) −32.3677 9.92648i −1.21133 0.371489i
\(715\) −0.644455 + 1.30683i −0.0241013 + 0.0488725i
\(716\) 40.4200 28.8854i 1.51057 1.07950i
\(717\) −29.4186 + 4.29168i −1.09866 + 0.160276i
\(718\) 12.3130 + 17.8151i 0.459516 + 0.664854i
\(719\) 8.70522 + 8.70522i 0.324650 + 0.324650i 0.850548 0.525898i \(-0.176271\pi\)
−0.525898 + 0.850548i \(0.676271\pi\)
\(720\) −28.0240 + 12.4487i −1.04439 + 0.463936i
\(721\) −4.37950 + 4.37950i −0.163101 + 0.163101i
\(722\) 26.0476 + 4.75694i 0.969392 + 0.177035i
\(723\) 28.0982 22.1905i 1.04498 0.825275i
\(724\) −34.9293 21.7832i −1.29814 0.809566i
\(725\) −7.10467 3.50364i −0.263861 0.130122i
\(726\) −26.8565 0.961147i −0.996739 0.0356715i
\(727\) −50.5315 6.65260i −1.87411 0.246731i −0.894417 0.447234i \(-0.852409\pi\)
−0.979693 + 0.200503i \(0.935742\pi\)
\(728\) −32.3414 11.6428i −1.19865 0.431511i
\(729\) −20.6224 17.4275i −0.763792 0.645462i
\(730\) −53.1659 + 7.85125i −1.96776 + 0.290588i
\(731\) −2.96874 + 3.38520i −0.109803 + 0.125206i
\(732\) −12.5300 + 43.2715i −0.463120 + 1.59936i
\(733\) −0.758047 + 11.5656i −0.0279991 + 0.427184i 0.960732 + 0.277479i \(0.0894989\pi\)
−0.988731 + 0.149705i \(0.952168\pi\)
\(734\) 41.9234 + 13.5002i 1.54742 + 0.498300i
\(735\) −24.0683 + 12.2898i −0.887772 + 0.453318i
\(736\) 22.0384 + 8.79151i 0.812346 + 0.324059i
\(737\) 2.35553 0.0867672
\(738\) −4.36056 + 9.91026i −0.160514 + 0.364802i
\(739\) 0.0883503 0.132226i 0.00325002 0.00486400i −0.829841 0.558000i \(-0.811569\pi\)
0.833091 + 0.553136i \(0.186569\pi\)
\(740\) 12.2386 7.58847i 0.449898 0.278958i
\(741\) 2.96627 + 0.750586i 0.108969 + 0.0275734i
\(742\) −26.1857 33.0376i −0.961306 1.21285i
\(743\) 6.53153 + 49.6119i 0.239619 + 1.82008i 0.513238 + 0.858246i \(0.328446\pi\)
−0.273619 + 0.961838i \(0.588221\pi\)
\(744\) 32.3147 32.0353i 1.18471 1.17447i
\(745\) −7.18048 + 54.5411i −0.263072 + 1.99823i
\(746\) 22.5081 + 37.6077i 0.824080 + 1.37692i
\(747\) 7.21564 + 13.6568i 0.264007 + 0.499678i
\(748\) 1.24067 + 0.378107i 0.0453633 + 0.0138250i
\(749\) 3.21468 + 1.09124i 0.117462 + 0.0398729i
\(750\) −15.8075 14.8960i −0.577207 0.543926i
\(751\) −9.23899 + 34.4804i −0.337136 + 1.25821i 0.564400 + 0.825502i \(0.309108\pi\)
−0.901535 + 0.432705i \(0.857559\pi\)
\(752\) −29.0476 14.4183i −1.05926 0.525781i
\(753\) −7.37759 34.5607i −0.268854 1.25946i
\(754\) 13.9756 + 20.2207i 0.508961 + 0.736394i
\(755\) −3.26346 16.4065i −0.118770 0.597095i
\(756\) 28.0898 25.0277i 1.02162 0.910249i
\(757\) −7.73528 + 5.16855i −0.281144 + 0.187854i −0.688145 0.725574i \(-0.741575\pi\)
0.407001 + 0.913428i \(0.366575\pi\)
\(758\) 20.7808 + 20.1377i 0.754792 + 0.731433i
\(759\) −0.223824 + 1.21355i −0.00812428 + 0.0440489i
\(760\) 1.39098 + 3.54003i 0.0504561 + 0.128410i
\(761\) 3.08582 + 23.4392i 0.111861 + 0.849669i 0.951742 + 0.306899i \(0.0992912\pi\)
−0.839881 + 0.542770i \(0.817375\pi\)
\(762\) −8.95332 + 53.2197i −0.324345 + 1.92795i
\(763\) −41.9666 + 47.8537i −1.51929 + 1.73242i
\(764\) −19.9346 1.98945i −0.721209 0.0719757i
\(765\) −10.1782 27.4418i −0.367994 0.992160i
\(766\) 1.05740 21.2433i 0.0382054 0.767552i
\(767\) 14.8618 25.7414i 0.536629 0.929469i
\(768\) 14.0667 + 23.8774i 0.507588 + 0.861600i
\(769\) −11.5446 19.9959i −0.416310 0.721070i 0.579255 0.815146i \(-0.303344\pi\)
−0.995565 + 0.0940765i \(0.970010\pi\)
\(770\) 1.97737 1.01407i 0.0712594 0.0365444i
\(771\) −2.41808 + 3.24410i −0.0870850 + 0.116833i
\(772\) 10.8598 15.1134i 0.390852