Properties

Label 570.2.v.c.83.1
Level $570$
Weight $2$
Character 570.83
Analytic conductor $4.551$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [570,2,Mod(83,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 9, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.83");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.v (of order \(12\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.1
Character \(\chi\) \(=\) 570.83
Dual form 570.2.v.c.467.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.72915 + 0.100231i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.941726 + 2.02809i) q^{5} +(0.350721 - 1.69617i) q^{6} +(0.473527 - 0.473527i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.97991 - 0.346627i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.72915 + 0.100231i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.941726 + 2.02809i) q^{5} +(0.350721 - 1.69617i) q^{6} +(0.473527 - 0.473527i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.97991 - 0.346627i) q^{9} +(-2.20272 + 0.384729i) q^{10} +1.46351i q^{11} +(1.54760 + 0.777772i) q^{12} +(2.64355 - 0.708337i) q^{13} +(0.334834 + 0.579950i) q^{14} +(-1.83166 - 3.41248i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-1.90834 + 7.12204i) q^{17} +(-0.436441 + 2.96808i) q^{18} +(2.96284 - 3.19712i) q^{19} +(0.198487 - 2.22724i) q^{20} +(-0.771337 + 0.866260i) q^{21} +(-1.41364 - 0.378785i) q^{22} +(0.182005 + 0.679251i) q^{23} +(-1.15182 + 1.29357i) q^{24} +(-3.22630 + 3.81981i) q^{25} +2.73681i q^{26} +(-5.11796 + 0.898048i) q^{27} +(-0.646850 + 0.173323i) q^{28} +(-0.402616 + 0.697351i) q^{29} +(3.77027 - 0.886034i) q^{30} -0.879462 q^{31} +(-0.965926 + 0.258819i) q^{32} +(-0.146689 - 2.53063i) q^{33} +(-6.38544 - 3.68664i) q^{34} +(1.40629 + 0.514423i) q^{35} +(-2.75399 - 1.18977i) q^{36} +(-7.52157 + 7.52157i) q^{37} +(2.32134 + 3.68936i) q^{38} +(-4.50010 + 1.48979i) q^{39} +(2.09998 + 0.768176i) q^{40} +(-1.55799 + 0.899506i) q^{41} +(-0.637107 - 0.969259i) q^{42} +(0.0802385 - 0.299454i) q^{43} +(0.731756 - 1.26744i) q^{44} +(3.50925 + 5.71710i) q^{45} -0.703212 q^{46} +(-5.73037 + 1.53545i) q^{47} +(-0.951376 - 1.44737i) q^{48} +6.55154i q^{49} +(-2.85463 - 4.10501i) q^{50} +(2.58596 - 12.5063i) q^{51} +(-2.64355 - 0.708337i) q^{52} +(0.0165769 + 0.0618659i) q^{53} +(0.457178 - 5.17600i) q^{54} +(-2.96814 + 1.37823i) q^{55} -0.669668i q^{56} +(-4.80274 + 5.82526i) q^{57} +(-0.569384 - 0.569384i) q^{58} +(-0.426080 - 0.737992i) q^{59} +(-0.119975 + 3.87112i) q^{60} +(0.152770 - 0.264605i) q^{61} +(0.227621 - 0.849495i) q^{62} +(1.24693 - 1.57520i) q^{63} -1.00000i q^{64} +(3.92607 + 4.69430i) q^{65} +(2.48237 + 0.513285i) q^{66} +(3.49596 + 13.0471i) q^{67} +(5.21369 - 5.21369i) q^{68} +(-0.382795 - 1.15628i) q^{69} +(-0.860869 + 1.22523i) q^{70} +(7.74931 - 4.47407i) q^{71} +(1.86201 - 2.35222i) q^{72} +(0.0178072 - 0.0664572i) q^{73} +(-5.31855 - 9.21200i) q^{74} +(5.19590 - 6.92840i) q^{75} +(-4.16446 + 1.28737i) q^{76} +(0.693013 + 0.693013i) q^{77} +(-0.274312 - 4.73234i) q^{78} +(8.30873 - 4.79705i) q^{79} +(-1.28552 + 1.82960i) q^{80} +(8.75970 - 2.06583i) q^{81} +(-0.465619 - 1.73771i) q^{82} +(-4.91926 + 4.91926i) q^{83} +(1.10113 - 0.364535i) q^{84} +(-16.2413 + 2.83671i) q^{85} +(0.268483 + 0.155009i) q^{86} +(0.626286 - 1.24618i) q^{87} +(1.03486 + 1.03486i) q^{88} +(9.03106 - 15.6423i) q^{89} +(-6.43055 + 1.90998i) q^{90} +(0.916376 - 1.58721i) q^{91} +(0.182005 - 0.679251i) q^{92} +(1.52072 - 0.0881490i) q^{93} -5.93252i q^{94} +(9.27423 + 2.99810i) q^{95} +(1.64429 - 0.544352i) q^{96} +(12.9263 + 3.46360i) q^{97} +(-6.32831 - 1.69566i) q^{98} +(0.507293 + 4.36113i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 4 q^{3} + 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 4 q^{3} + 8 q^{6} - 16 q^{10} - 8 q^{12} - 32 q^{13} + 4 q^{15} + 72 q^{16} + 32 q^{18} - 24 q^{21} + 8 q^{22} + 40 q^{25} - 16 q^{27} - 8 q^{30} - 16 q^{33} - 16 q^{37} + 8 q^{40} - 44 q^{42} - 16 q^{43} - 56 q^{45} - 48 q^{46} + 4 q^{48} + 32 q^{51} + 32 q^{52} + 8 q^{55} - 64 q^{57} + 32 q^{58} - 24 q^{60} + 76 q^{63} + 16 q^{66} - 56 q^{67} - 8 q^{70} + 16 q^{72} + 88 q^{73} + 32 q^{75} + 48 q^{76} - 56 q^{81} - 152 q^{87} - 16 q^{88} - 4 q^{90} + 80 q^{91} - 52 q^{93} + 16 q^{96} + 32 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −1.72915 + 0.100231i −0.998324 + 0.0578682i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.941726 + 2.02809i 0.421153 + 0.906990i
\(6\) 0.350721 1.69617i 0.143181 0.692459i
\(7\) 0.473527 0.473527i 0.178976 0.178976i −0.611933 0.790910i \(-0.709608\pi\)
0.790910 + 0.611933i \(0.209608\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.97991 0.346627i 0.993303 0.115542i
\(10\) −2.20272 + 0.384729i −0.696562 + 0.121662i
\(11\) 1.46351i 0.441265i 0.975357 + 0.220633i \(0.0708122\pi\)
−0.975357 + 0.220633i \(0.929188\pi\)
\(12\) 1.54760 + 0.777772i 0.446754 + 0.224523i
\(13\) 2.64355 0.708337i 0.733189 0.196457i 0.127140 0.991885i \(-0.459420\pi\)
0.606049 + 0.795427i \(0.292754\pi\)
\(14\) 0.334834 + 0.579950i 0.0894882 + 0.154998i
\(15\) −1.83166 3.41248i −0.472933 0.881099i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −1.90834 + 7.12204i −0.462841 + 1.72735i 0.201107 + 0.979569i \(0.435546\pi\)
−0.663948 + 0.747779i \(0.731120\pi\)
\(18\) −0.436441 + 2.96808i −0.102870 + 0.699584i
\(19\) 2.96284 3.19712i 0.679722 0.733469i
\(20\) 0.198487 2.22724i 0.0443830 0.498026i
\(21\) −0.771337 + 0.866260i −0.168319 + 0.189034i
\(22\) −1.41364 0.378785i −0.301390 0.0807572i
\(23\) 0.182005 + 0.679251i 0.0379506 + 0.141634i 0.982302 0.187306i \(-0.0599755\pi\)
−0.944351 + 0.328939i \(0.893309\pi\)
\(24\) −1.15182 + 1.29357i −0.235114 + 0.264048i
\(25\) −3.22630 + 3.81981i −0.645261 + 0.763962i
\(26\) 2.73681i 0.536732i
\(27\) −5.11796 + 0.898048i −0.984952 + 0.172829i
\(28\) −0.646850 + 0.173323i −0.122243 + 0.0327550i
\(29\) −0.402616 + 0.697351i −0.0747638 + 0.129495i −0.900984 0.433853i \(-0.857154\pi\)
0.826220 + 0.563348i \(0.190487\pi\)
\(30\) 3.77027 0.886034i 0.688354 0.161767i
\(31\) −0.879462 −0.157956 −0.0789780 0.996876i \(-0.525166\pi\)
−0.0789780 + 0.996876i \(0.525166\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −0.146689 2.53063i −0.0255352 0.440526i
\(34\) −6.38544 3.68664i −1.09509 0.632253i
\(35\) 1.40629 + 0.514423i 0.237706 + 0.0869534i
\(36\) −2.75399 1.18977i −0.458998 0.198294i
\(37\) −7.52157 + 7.52157i −1.23654 + 1.23654i −0.275132 + 0.961406i \(0.588722\pi\)
−0.961406 + 0.275132i \(0.911278\pi\)
\(38\) 2.32134 + 3.68936i 0.376571 + 0.598493i
\(39\) −4.50010 + 1.48979i −0.720592 + 0.238557i
\(40\) 2.09998 + 0.768176i 0.332036 + 0.121459i
\(41\) −1.55799 + 0.899506i −0.243317 + 0.140479i −0.616700 0.787198i \(-0.711531\pi\)
0.373383 + 0.927677i \(0.378198\pi\)
\(42\) −0.637107 0.969259i −0.0983077 0.149560i
\(43\) 0.0802385 0.299454i 0.0122363 0.0456663i −0.959538 0.281580i \(-0.909142\pi\)
0.971774 + 0.235914i \(0.0758082\pi\)
\(44\) 0.731756 1.26744i 0.110316 0.191074i
\(45\) 3.50925 + 5.71710i 0.523128 + 0.852254i
\(46\) −0.703212 −0.103683
\(47\) −5.73037 + 1.53545i −0.835861 + 0.223968i −0.651269 0.758847i \(-0.725763\pi\)
−0.184592 + 0.982815i \(0.559096\pi\)
\(48\) −0.951376 1.44737i −0.137319 0.208910i
\(49\) 6.55154i 0.935935i
\(50\) −2.85463 4.10501i −0.403705 0.580536i
\(51\) 2.58596 12.5063i 0.362107 1.75124i
\(52\) −2.64355 0.708337i −0.366595 0.0982287i
\(53\) 0.0165769 + 0.0618659i 0.00227701 + 0.00849793i 0.967055 0.254568i \(-0.0819331\pi\)
−0.964778 + 0.263066i \(0.915266\pi\)
\(54\) 0.457178 5.17600i 0.0622140 0.704365i
\(55\) −2.96814 + 1.37823i −0.400223 + 0.185840i
\(56\) 0.669668i 0.0894882i
\(57\) −4.80274 + 5.82526i −0.636139 + 0.771575i
\(58\) −0.569384 0.569384i −0.0747638 0.0747638i
\(59\) −0.426080 0.737992i −0.0554708 0.0960783i 0.836957 0.547269i \(-0.184333\pi\)
−0.892427 + 0.451191i \(0.850999\pi\)
\(60\) −0.119975 + 3.87112i −0.0154887 + 0.499760i
\(61\) 0.152770 0.264605i 0.0195602 0.0338792i −0.856080 0.516844i \(-0.827107\pi\)
0.875640 + 0.482965i \(0.160440\pi\)
\(62\) 0.227621 0.849495i 0.0289080 0.107886i
\(63\) 1.24693 1.57520i 0.157098 0.198457i
\(64\) 1.00000i 0.125000i
\(65\) 3.92607 + 4.69430i 0.486970 + 0.582257i
\(66\) 2.48237 + 0.513285i 0.305558 + 0.0631810i
\(67\) 3.49596 + 13.0471i 0.427099 + 1.59395i 0.759296 + 0.650745i \(0.225543\pi\)
−0.332198 + 0.943210i \(0.607790\pi\)
\(68\) 5.21369 5.21369i 0.632253 0.632253i
\(69\) −0.382795 1.15628i −0.0460831 0.139200i
\(70\) −0.860869 + 1.22523i −0.102894 + 0.146443i
\(71\) 7.74931 4.47407i 0.919674 0.530974i 0.0361432 0.999347i \(-0.488493\pi\)
0.883531 + 0.468372i \(0.155159\pi\)
\(72\) 1.86201 2.35222i 0.219440 0.277211i
\(73\) 0.0178072 0.0664572i 0.00208417 0.00777823i −0.964876 0.262706i \(-0.915385\pi\)
0.966960 + 0.254928i \(0.0820517\pi\)
\(74\) −5.31855 9.21200i −0.618269 1.07087i
\(75\) 5.19590 6.92840i 0.599970 0.800022i
\(76\) −4.16446 + 1.28737i −0.477696 + 0.147671i
\(77\) 0.693013 + 0.693013i 0.0789761 + 0.0789761i
\(78\) −0.274312 4.73234i −0.0310597 0.535832i
\(79\) 8.30873 4.79705i 0.934805 0.539710i 0.0464770 0.998919i \(-0.485201\pi\)
0.888328 + 0.459209i \(0.151867\pi\)
\(80\) −1.28552 + 1.82960i −0.143725 + 0.204556i
\(81\) 8.75970 2.06583i 0.973300 0.229537i
\(82\) −0.465619 1.73771i −0.0514190 0.191898i
\(83\) −4.91926 + 4.91926i −0.539959 + 0.539959i −0.923517 0.383558i \(-0.874699\pi\)
0.383558 + 0.923517i \(0.374699\pi\)
\(84\) 1.10113 0.364535i 0.120143 0.0397741i
\(85\) −16.2413 + 2.83671i −1.76161 + 0.307685i
\(86\) 0.268483 + 0.155009i 0.0289513 + 0.0167150i
\(87\) 0.626286 1.24618i 0.0671449 0.133604i
\(88\) 1.03486 + 1.03486i 0.110316 + 0.110316i
\(89\) 9.03106 15.6423i 0.957290 1.65808i 0.228252 0.973602i \(-0.426699\pi\)
0.729038 0.684473i \(-0.239968\pi\)
\(90\) −6.43055 + 1.90998i −0.677840 + 0.201330i
\(91\) 0.916376 1.58721i 0.0960623 0.166385i
\(92\) 0.182005 0.679251i 0.0189753 0.0708168i
\(93\) 1.52072 0.0881490i 0.157691 0.00914063i
\(94\) 5.93252i 0.611893i
\(95\) 9.27423 + 2.99810i 0.951516 + 0.307599i
\(96\) 1.64429 0.544352i 0.167819 0.0555577i
\(97\) 12.9263 + 3.46360i 1.31247 + 0.351675i 0.846152 0.532942i \(-0.178914\pi\)
0.466318 + 0.884617i \(0.345580\pi\)
\(98\) −6.32831 1.69566i −0.639255 0.171288i
\(99\) 0.507293 + 4.36113i 0.0509849 + 0.438310i
\(100\) 4.70397 1.69490i 0.470397 0.169490i
\(101\) 8.44615 + 4.87639i 0.840424 + 0.485219i 0.857408 0.514637i \(-0.172073\pi\)
−0.0169846 + 0.999856i \(0.505407\pi\)
\(102\) 11.4109 + 5.73473i 1.12985 + 0.567823i
\(103\) −5.57217 5.57217i −0.549042 0.549042i 0.377122 0.926164i \(-0.376914\pi\)
−0.926164 + 0.377122i \(0.876914\pi\)
\(104\) 1.36840 2.37014i 0.134183 0.232412i
\(105\) −2.48324 0.748561i −0.242340 0.0730520i
\(106\) −0.0640483 −0.00622092
\(107\) −8.18295 8.18295i −0.791076 0.791076i 0.190593 0.981669i \(-0.438959\pi\)
−0.981669 + 0.190593i \(0.938959\pi\)
\(108\) 4.88131 + 1.78125i 0.469704 + 0.171401i
\(109\) −10.1078 + 5.83574i −0.968152 + 0.558963i −0.898672 0.438621i \(-0.855467\pi\)
−0.0694796 + 0.997583i \(0.522134\pi\)
\(110\) −0.563055 3.22371i −0.0536852 0.307369i
\(111\) 12.2520 13.7598i 1.16291 1.30602i
\(112\) 0.646850 + 0.173323i 0.0611216 + 0.0163775i
\(113\) 9.52933 9.52933i 0.896444 0.896444i −0.0986753 0.995120i \(-0.531461\pi\)
0.995120 + 0.0986753i \(0.0314605\pi\)
\(114\) −4.38373 6.14678i −0.410574 0.575699i
\(115\) −1.20618 + 1.00879i −0.112477 + 0.0940702i
\(116\) 0.697351 0.402616i 0.0647474 0.0373819i
\(117\) 7.63201 3.02711i 0.705580 0.279856i
\(118\) 0.823123 0.220555i 0.0757746 0.0203037i
\(119\) 2.46883 + 4.27613i 0.226317 + 0.391992i
\(120\) −3.70817 1.11781i −0.338508 0.102041i
\(121\) 8.85813 0.805285
\(122\) 0.216049 + 0.216049i 0.0195602 + 0.0195602i
\(123\) 2.60384 1.71154i 0.234780 0.154324i
\(124\) 0.761636 + 0.439731i 0.0683970 + 0.0394890i
\(125\) −10.7852 2.94602i −0.964659 0.263500i
\(126\) 1.19880 + 1.61213i 0.106798 + 0.143620i
\(127\) −0.690243 2.57602i −0.0612492 0.228585i 0.928516 0.371293i \(-0.121086\pi\)
−0.989765 + 0.142708i \(0.954419\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) −0.108730 + 0.525843i −0.00957312 + 0.0462979i
\(130\) −5.55049 + 2.57732i −0.486810 + 0.226046i
\(131\) −9.00345 + 5.19815i −0.786635 + 0.454164i −0.838777 0.544476i \(-0.816729\pi\)
0.0521413 + 0.998640i \(0.483395\pi\)
\(132\) −1.13828 + 2.26493i −0.0990744 + 0.197137i
\(133\) −0.110937 2.91691i −0.00961946 0.252928i
\(134\) −13.5073 −1.16686
\(135\) −6.64104 9.53397i −0.571570 0.820554i
\(136\) 3.68664 + 6.38544i 0.316127 + 0.547547i
\(137\) 2.85478 0.764935i 0.243900 0.0653528i −0.134798 0.990873i \(-0.543039\pi\)
0.378698 + 0.925520i \(0.376372\pi\)
\(138\) 1.21596 0.0704834i 0.103509 0.00599995i
\(139\) −9.79347 5.65426i −0.830671 0.479588i 0.0234111 0.999726i \(-0.492547\pi\)
−0.854083 + 0.520138i \(0.825881\pi\)
\(140\) −0.960670 1.14865i −0.0811914 0.0970785i
\(141\) 9.75476 3.22938i 0.821499 0.271963i
\(142\) 2.31595 + 8.64324i 0.194350 + 0.725324i
\(143\) 1.03666 + 3.86887i 0.0866899 + 0.323531i
\(144\) 1.79014 + 2.40736i 0.149178 + 0.200614i
\(145\) −1.79344 0.159828i −0.148937 0.0132730i
\(146\) 0.0595839 + 0.0344008i 0.00493120 + 0.00284703i
\(147\) −0.656665 11.3286i −0.0541609 0.934366i
\(148\) 10.2747 2.75309i 0.844571 0.226302i
\(149\) 5.57303 + 9.65277i 0.456560 + 0.790785i 0.998776 0.0494535i \(-0.0157480\pi\)
−0.542216 + 0.840239i \(0.682415\pi\)
\(150\) 5.34752 + 6.81205i 0.436623 + 0.556202i
\(151\) −3.44466 −0.280323 −0.140161 0.990129i \(-0.544762\pi\)
−0.140161 + 0.990129i \(0.544762\pi\)
\(152\) −0.165660 4.35575i −0.0134368 0.353298i
\(153\) −3.21800 + 21.8845i −0.260160 + 1.76926i
\(154\) −0.848764 + 0.490034i −0.0683953 + 0.0394881i
\(155\) −0.828212 1.78363i −0.0665236 0.143264i
\(156\) 4.64209 + 0.959856i 0.371665 + 0.0768500i
\(157\) 18.7188 + 5.01569i 1.49392 + 0.400296i 0.911060 0.412274i \(-0.135265\pi\)
0.582864 + 0.812569i \(0.301932\pi\)
\(158\) 2.48313 + 9.26718i 0.197548 + 0.737257i
\(159\) −0.0348648 0.105314i −0.00276496 0.00835193i
\(160\) −1.43455 1.71525i −0.113411 0.135602i
\(161\) 0.407828 + 0.235459i 0.0321413 + 0.0185568i
\(162\) −0.271734 + 8.99590i −0.0213494 + 0.706784i
\(163\) 16.7241 + 16.7241i 1.30993 + 1.30993i 0.921459 + 0.388475i \(0.126998\pi\)
0.388475 + 0.921459i \(0.373002\pi\)
\(164\) 1.79901 0.140479
\(165\) 4.99421 2.68066i 0.388798 0.208689i
\(166\) −3.47844 6.02484i −0.269979 0.467618i
\(167\) 17.2490 4.62185i 1.33477 0.357649i 0.480276 0.877117i \(-0.340537\pi\)
0.854490 + 0.519468i \(0.173870\pi\)
\(168\) 0.0671213 + 1.15796i 0.00517852 + 0.0893382i
\(169\) −4.77171 + 2.75495i −0.367054 + 0.211919i
\(170\) 1.46350 16.4221i 0.112245 1.25951i
\(171\) 7.72078 10.5541i 0.590423 0.807094i
\(172\) −0.219216 + 0.219216i −0.0167150 + 0.0167150i
\(173\) −10.2622 2.74974i −0.780218 0.209059i −0.153337 0.988174i \(-0.549002\pi\)
−0.626881 + 0.779115i \(0.715669\pi\)
\(174\) 1.04162 + 0.927480i 0.0789650 + 0.0703121i
\(175\) 0.281042 + 3.33653i 0.0212448 + 0.252218i
\(176\) −1.26744 + 0.731756i −0.0955368 + 0.0551582i
\(177\) 0.810724 + 1.23339i 0.0609378 + 0.0927073i
\(178\) 12.7718 + 12.7718i 0.957290 + 0.957290i
\(179\) 11.1861 0.836091 0.418045 0.908426i \(-0.362715\pi\)
0.418045 + 0.908426i \(0.362715\pi\)
\(180\) −0.180550 6.70577i −0.0134574 0.499819i
\(181\) −5.90788 + 10.2327i −0.439129 + 0.760594i −0.997623 0.0689150i \(-0.978046\pi\)
0.558493 + 0.829509i \(0.311380\pi\)
\(182\) 1.29595 + 1.29595i 0.0960623 + 0.0960623i
\(183\) −0.237640 + 0.472854i −0.0175669 + 0.0349544i
\(184\) 0.609000 + 0.351606i 0.0448960 + 0.0259207i
\(185\) −22.3377 8.17117i −1.64230 0.600756i
\(186\) −0.308446 + 1.49172i −0.0226163 + 0.109378i
\(187\) −10.4232 2.79288i −0.762219 0.204236i
\(188\) 5.73037 + 1.53545i 0.417930 + 0.111984i
\(189\) −1.99824 + 2.84874i −0.145351 + 0.207216i
\(190\) −5.29629 + 8.18226i −0.384233 + 0.593603i
\(191\) 15.1404i 1.09552i 0.836636 + 0.547759i \(0.184519\pi\)
−0.836636 + 0.547759i \(0.815481\pi\)
\(192\) 0.100231 + 1.72915i 0.00723352 + 0.124791i
\(193\) 0.299235 1.11676i 0.0215394 0.0803863i −0.954320 0.298788i \(-0.903418\pi\)
0.975859 + 0.218402i \(0.0700843\pi\)
\(194\) −6.69116 + 11.5894i −0.480397 + 0.832072i
\(195\) −7.25928 7.72363i −0.519848 0.553101i
\(196\) 3.27577 5.67380i 0.233984 0.405272i
\(197\) −14.1804 14.1804i −1.01031 1.01031i −0.999946 0.0103647i \(-0.996701\pi\)
−0.0103647 0.999946i \(-0.503299\pi\)
\(198\) −4.34383 0.638736i −0.308702 0.0453930i
\(199\) −12.5050 7.21975i −0.886455 0.511795i −0.0136734 0.999907i \(-0.504353\pi\)
−0.872781 + 0.488112i \(0.837686\pi\)
\(200\) 0.419673 + 4.98236i 0.0296754 + 0.352306i
\(201\) −7.35274 22.2099i −0.518622 1.56657i
\(202\) −6.89625 + 6.89625i −0.485219 + 0.485219i
\(203\) 0.139565 + 0.520864i 0.00979555 + 0.0365575i
\(204\) −8.49268 + 9.53782i −0.594606 + 0.667781i
\(205\) −3.29148 2.31266i −0.229887 0.161523i
\(206\) 6.82449 3.94012i 0.475484 0.274521i
\(207\) 0.777804 + 1.96102i 0.0540611 + 0.136300i
\(208\) 1.93521 + 1.93521i 0.134183 + 0.134183i
\(209\) 4.67902 + 4.33615i 0.323655 + 0.299938i
\(210\) 1.36576 2.20489i 0.0942467 0.152152i
\(211\) −6.94383 12.0271i −0.478033 0.827978i 0.521650 0.853160i \(-0.325317\pi\)
−0.999683 + 0.0251821i \(0.991983\pi\)
\(212\) 0.0165769 0.0618659i 0.00113851 0.00424897i
\(213\) −12.9513 + 8.51305i −0.887407 + 0.583304i
\(214\) 10.0220 5.78622i 0.685092 0.395538i
\(215\) 0.682883 0.119273i 0.0465722 0.00813434i
\(216\) −2.98393 + 4.25396i −0.203031 + 0.289445i
\(217\) −0.416449 + 0.416449i −0.0282704 + 0.0282704i
\(218\) −3.02080 11.2738i −0.204595 0.763557i
\(219\) −0.0241302 + 0.116699i −0.00163057 + 0.00788580i
\(220\) 3.25959 + 0.290488i 0.219762 + 0.0195847i
\(221\) 20.1792i 1.35740i
\(222\) 10.1199 + 15.3958i 0.679203 + 1.03330i
\(223\) 6.30595 23.5341i 0.422278 1.57596i −0.347520 0.937673i \(-0.612976\pi\)
0.769797 0.638289i \(-0.220357\pi\)
\(224\) −0.334834 + 0.579950i −0.0223721 + 0.0387495i
\(225\) −8.29004 + 12.5010i −0.552669 + 0.833401i
\(226\) 6.73826 + 11.6710i 0.448222 + 0.776344i
\(227\) −2.43006 2.43006i −0.161289 0.161289i 0.621849 0.783137i \(-0.286382\pi\)
−0.783137 + 0.621849i \(0.786382\pi\)
\(228\) 7.07193 2.64345i 0.468350 0.175067i
\(229\) 3.18464i 0.210447i −0.994449 0.105223i \(-0.966444\pi\)
0.994449 0.105223i \(-0.0335558\pi\)
\(230\) −0.662233 1.42618i −0.0436664 0.0940394i
\(231\) −1.26778 1.12886i −0.0834140 0.0742736i
\(232\) 0.208409 + 0.777794i 0.0136827 + 0.0510647i
\(233\) −22.5745 6.04881i −1.47890 0.396271i −0.572929 0.819605i \(-0.694193\pi\)
−0.905973 + 0.423334i \(0.860860\pi\)
\(234\) 0.948652 + 8.15543i 0.0620153 + 0.533137i
\(235\) −8.51047 10.1757i −0.555162 0.663792i
\(236\) 0.852159i 0.0554708i
\(237\) −13.8862 + 9.12759i −0.902006 + 0.592901i
\(238\) −4.76940 + 1.27796i −0.309155 + 0.0828377i
\(239\) 27.8662 1.80251 0.901257 0.433286i \(-0.142646\pi\)
0.901257 + 0.433286i \(0.142646\pi\)
\(240\) 2.03946 3.29250i 0.131647 0.212530i
\(241\) 6.99994 12.1242i 0.450906 0.780992i −0.547537 0.836782i \(-0.684434\pi\)
0.998443 + 0.0557900i \(0.0177677\pi\)
\(242\) −2.29265 + 8.55630i −0.147377 + 0.550020i
\(243\) −14.9398 + 4.45012i −0.958386 + 0.285476i
\(244\) −0.264605 + 0.152770i −0.0169396 + 0.00978009i
\(245\) −13.2871 + 6.16976i −0.848883 + 0.394171i
\(246\) 0.979296 + 2.95809i 0.0624376 + 0.188601i
\(247\) 5.56778 10.5504i 0.354270 0.671308i
\(248\) −0.621873 + 0.621873i −0.0394890 + 0.0394890i
\(249\) 8.01307 8.99919i 0.507807 0.570300i
\(250\) 5.63706 9.65524i 0.356519 0.610651i
\(251\) −18.7854 10.8457i −1.18572 0.684577i −0.228391 0.973569i \(-0.573347\pi\)
−0.957332 + 0.288992i \(0.906680\pi\)
\(252\) −1.86747 + 0.740702i −0.117640 + 0.0466599i
\(253\) −0.994092 + 0.266366i −0.0624980 + 0.0167463i
\(254\) 2.66690 0.167336
\(255\) 27.7993 6.53297i 1.74086 0.409111i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −8.52828 + 2.28515i −0.531979 + 0.142543i −0.514802 0.857309i \(-0.672135\pi\)
−0.0171772 + 0.999852i \(0.505468\pi\)
\(258\) −0.479784 0.241123i −0.0298701 0.0150117i
\(259\) 7.12333i 0.442622i
\(260\) −1.05293 6.02842i −0.0652999 0.373867i
\(261\) −0.958037 + 2.21760i −0.0593010 + 0.137266i
\(262\) −2.69076 10.0420i −0.166236 0.620400i
\(263\) 18.7339 + 5.01973i 1.15518 + 0.309530i 0.785040 0.619445i \(-0.212643\pi\)
0.370142 + 0.928975i \(0.379309\pi\)
\(264\) −1.89315 1.68570i −0.116515 0.103748i
\(265\) −0.109859 + 0.0918802i −0.00674857 + 0.00564416i
\(266\) 2.84623 + 0.647794i 0.174514 + 0.0397188i
\(267\) −14.0482 + 27.9530i −0.859736 + 1.71069i
\(268\) 3.49596 13.0471i 0.213549 0.796977i
\(269\) 4.46459 + 7.73290i 0.272211 + 0.471483i 0.969428 0.245377i \(-0.0789119\pi\)
−0.697217 + 0.716860i \(0.745579\pi\)
\(270\) 10.9279 3.94718i 0.665053 0.240218i
\(271\) −1.48390 2.57018i −0.0901403 0.156128i 0.817430 0.576028i \(-0.195398\pi\)
−0.907570 + 0.419901i \(0.862065\pi\)
\(272\) −7.12204 + 1.90834i −0.431837 + 0.115710i
\(273\) −1.42546 + 2.83637i −0.0862730 + 0.171665i
\(274\) 2.95548i 0.178547i
\(275\) −5.59034 4.72174i −0.337110 0.284731i
\(276\) −0.246631 + 1.19277i −0.0148455 + 0.0717962i
\(277\) 11.1413 11.1413i 0.669416 0.669416i −0.288165 0.957581i \(-0.593045\pi\)
0.957581 + 0.288165i \(0.0930451\pi\)
\(278\) 7.99634 7.99634i 0.479588 0.479588i
\(279\) −2.62071 + 0.304845i −0.156898 + 0.0182506i
\(280\) 1.35815 0.630644i 0.0811649 0.0376882i
\(281\) 7.45644 + 4.30497i 0.444814 + 0.256813i 0.705637 0.708573i \(-0.250661\pi\)
−0.260824 + 0.965386i \(0.583994\pi\)
\(282\) 0.594620 + 10.2582i 0.0354091 + 0.610867i
\(283\) 3.76031 14.0337i 0.223527 0.834214i −0.759462 0.650551i \(-0.774538\pi\)
0.982989 0.183663i \(-0.0587955\pi\)
\(284\) −8.94814 −0.530974
\(285\) −16.3370 4.25460i −0.967722 0.252021i
\(286\) −4.00535 −0.236841
\(287\) −0.311810 + 1.16369i −0.0184056 + 0.0686905i
\(288\) −2.78866 + 1.10607i −0.164323 + 0.0651760i
\(289\) −32.3592 18.6826i −1.90348 1.09898i
\(290\) 0.618559 1.69097i 0.0363230 0.0992970i
\(291\) −22.6987 4.69346i −1.33062 0.275136i
\(292\) −0.0486501 + 0.0486501i −0.00284703 + 0.00284703i
\(293\) 14.8280 14.8280i 0.866262 0.866262i −0.125795 0.992056i \(-0.540148\pi\)
0.992056 + 0.125795i \(0.0401480\pi\)
\(294\) 11.1125 + 2.29777i 0.648096 + 0.134008i
\(295\) 1.09546 1.55911i 0.0637804 0.0907751i
\(296\) 10.6371i 0.618269i
\(297\) −1.31430 7.49020i −0.0762637 0.434625i
\(298\) −10.7663 + 2.88481i −0.623673 + 0.167113i
\(299\) 0.962278 + 1.66671i 0.0556500 + 0.0963885i
\(300\) −7.96398 + 3.40222i −0.459800 + 0.196427i
\(301\) −0.103805 0.179795i −0.00598320 0.0103632i
\(302\) 0.891544 3.32729i 0.0513026 0.191464i
\(303\) −15.0934 7.58543i −0.867094 0.435772i
\(304\) 4.25021 + 0.967336i 0.243766 + 0.0554805i
\(305\) 0.680511 + 0.0606456i 0.0389659 + 0.00347256i
\(306\) −20.3059 8.77247i −1.16081 0.501489i
\(307\) −31.0826 8.32855i −1.77398 0.475336i −0.784513 0.620113i \(-0.787087\pi\)
−0.989464 + 0.144777i \(0.953754\pi\)
\(308\) −0.253660 0.946673i −0.0144536 0.0539417i
\(309\) 10.1936 + 9.07661i 0.579894 + 0.516350i
\(310\) 1.93721 0.338354i 0.110026 0.0192172i
\(311\) 16.0211i 0.908474i 0.890881 + 0.454237i \(0.150088\pi\)
−0.890881 + 0.454237i \(0.849912\pi\)
\(312\) −2.12861 + 4.23549i −0.120509 + 0.239787i
\(313\) 18.5052 4.95847i 1.04598 0.280269i 0.305390 0.952228i \(-0.401213\pi\)
0.740589 + 0.671958i \(0.234547\pi\)
\(314\) −9.68957 + 16.7828i −0.546814 + 0.947110i
\(315\) 4.36892 + 1.04548i 0.246161 + 0.0589059i
\(316\) −9.59409 −0.539710
\(317\) −4.27919 + 1.14661i −0.240343 + 0.0643998i −0.376980 0.926221i \(-0.623037\pi\)
0.136636 + 0.990621i \(0.456371\pi\)
\(318\) 0.110749 0.00641960i 0.00621049 0.000359993i
\(319\) −1.02058 0.589233i −0.0571416 0.0329907i
\(320\) 2.02809 0.941726i 0.113374 0.0526441i
\(321\) 14.9697 + 13.3294i 0.835529 + 0.743972i
\(322\) −0.332990 + 0.332990i −0.0185568 + 0.0185568i
\(323\) 17.1159 + 27.2027i 0.952353 + 1.51360i
\(324\) −8.61904 2.59078i −0.478836 0.143932i
\(325\) −5.82319 + 12.3832i −0.323012 + 0.686895i
\(326\) −20.4828 + 11.8257i −1.13444 + 0.654967i
\(327\) 16.8930 11.1040i 0.934183 0.614051i
\(328\) −0.465619 + 1.73771i −0.0257095 + 0.0959491i
\(329\) −1.98641 + 3.44056i −0.109514 + 0.189684i
\(330\) 1.29672 + 5.51784i 0.0713821 + 0.303747i
\(331\) 23.2753 1.27933 0.639664 0.768654i \(-0.279073\pi\)
0.639664 + 0.768654i \(0.279073\pi\)
\(332\) 6.71983 1.80057i 0.368799 0.0988193i
\(333\) −19.8064 + 25.0208i −1.08538 + 1.37113i
\(334\) 17.8575i 0.977116i
\(335\) −23.1684 + 19.3769i −1.26583 + 1.05867i
\(336\) −1.13587 0.234867i −0.0619669 0.0128130i
\(337\) 22.9650 + 6.15345i 1.25098 + 0.335200i 0.822716 0.568452i \(-0.192458\pi\)
0.428267 + 0.903652i \(0.359124\pi\)
\(338\) −1.42607 5.32215i −0.0775677 0.289487i
\(339\) −15.5225 + 17.4328i −0.843067 + 0.946818i
\(340\) 15.4837 + 5.66397i 0.839722 + 0.307172i
\(341\) 1.28710i 0.0697005i
\(342\) 8.19621 + 10.1893i 0.443200 + 0.550975i
\(343\) 6.41702 + 6.41702i 0.346487 + 0.346487i
\(344\) −0.155009 0.268483i −0.00835752 0.0144756i
\(345\) 1.98456 1.86524i 0.106845 0.100421i
\(346\) 5.31209 9.20081i 0.285580 0.494638i
\(347\) 0.359779 1.34271i 0.0193139 0.0720805i −0.955596 0.294679i \(-0.904787\pi\)
0.974910 + 0.222599i \(0.0714539\pi\)
\(348\) −1.16547 + 0.766078i −0.0624757 + 0.0410661i
\(349\) 12.0994i 0.647666i 0.946114 + 0.323833i \(0.104972\pi\)
−0.946114 + 0.323833i \(0.895028\pi\)
\(350\) −3.29558 0.592091i −0.176156 0.0316486i
\(351\) −12.8935 + 5.99928i −0.688202 + 0.320218i
\(352\) −0.378785 1.41364i −0.0201893 0.0753475i
\(353\) 22.7994 22.7994i 1.21349 1.21349i 0.243615 0.969872i \(-0.421667\pi\)
0.969872 0.243615i \(-0.0783335\pi\)
\(354\) −1.40119 + 0.463874i −0.0744727 + 0.0246547i
\(355\) 16.3715 + 11.5030i 0.868911 + 0.610514i
\(356\) −15.6423 + 9.03106i −0.829038 + 0.478645i
\(357\) −4.69756 7.14661i −0.248621 0.378239i
\(358\) −2.89518 + 10.8050i −0.153015 + 0.571061i
\(359\) 4.02530 + 6.97202i 0.212447 + 0.367969i 0.952480 0.304602i \(-0.0985233\pi\)
−0.740033 + 0.672571i \(0.765190\pi\)
\(360\) 6.52401 + 1.56118i 0.343846 + 0.0822816i
\(361\) −1.44314 18.9451i −0.0759549 0.997111i
\(362\) −8.35500 8.35500i −0.439129 0.439129i
\(363\) −15.3170 + 0.887856i −0.803935 + 0.0466004i
\(364\) −1.58721 + 0.916376i −0.0831924 + 0.0480312i
\(365\) 0.151551 0.0264700i 0.00793253 0.00138550i
\(366\) −0.395236 0.351926i −0.0206593 0.0183955i
\(367\) −0.288028 1.07493i −0.0150349 0.0561111i 0.958001 0.286765i \(-0.0925800\pi\)
−0.973036 + 0.230654i \(0.925913\pi\)
\(368\) −0.497246 + 0.497246i −0.0259207 + 0.0259207i
\(369\) −4.33087 + 3.22049i −0.225456 + 0.167652i
\(370\) 13.6742 19.4617i 0.710886 1.01177i
\(371\) 0.0371448 + 0.0214456i 0.00192846 + 0.00111340i
\(372\) −1.36106 0.684021i −0.0705675 0.0354648i
\(373\) 9.99040 + 9.99040i 0.517283 + 0.517283i 0.916748 0.399465i \(-0.130804\pi\)
−0.399465 + 0.916748i \(0.630804\pi\)
\(374\) 5.39544 9.34518i 0.278992 0.483227i
\(375\) 18.9445 + 4.01310i 0.978291 + 0.207236i
\(376\) −2.96626 + 5.13771i −0.152973 + 0.264957i
\(377\) −0.570375 + 2.12867i −0.0293758 + 0.109632i
\(378\) −2.23449 2.66746i −0.114930 0.137199i
\(379\) 20.0332i 1.02903i 0.857480 + 0.514517i \(0.172029\pi\)
−0.857480 + 0.514517i \(0.827971\pi\)
\(380\) −6.53267 7.23355i −0.335119 0.371073i
\(381\) 1.45173 + 4.38514i 0.0743744 + 0.224658i
\(382\) −14.6245 3.91862i −0.748253 0.200494i
\(383\) −12.3726 3.31522i −0.632208 0.169400i −0.0715365 0.997438i \(-0.522790\pi\)
−0.560671 + 0.828038i \(0.689457\pi\)
\(384\) −1.69617 0.350721i −0.0865573 0.0178977i
\(385\) −0.752864 + 2.05812i −0.0383695 + 0.104892i
\(386\) 1.00126 + 0.578078i 0.0509628 + 0.0294234i
\(387\) 0.135304 0.920159i 0.00687791 0.0467743i
\(388\) −9.46273 9.46273i −0.480397 0.480397i
\(389\) 13.8874 24.0538i 0.704121 1.21957i −0.262887 0.964827i \(-0.584675\pi\)
0.967008 0.254747i \(-0.0819921\pi\)
\(390\) 9.33929 5.01290i 0.472914 0.253838i
\(391\) −5.18498 −0.262216
\(392\) 4.63264 + 4.63264i 0.233984 + 0.233984i
\(393\) 15.0473 9.89079i 0.759036 0.498924i
\(394\) 17.3674 10.0271i 0.874955 0.505156i
\(395\) 17.5534 + 12.3334i 0.883207 + 0.620558i
\(396\) 1.74124 4.03050i 0.0875004 0.202540i
\(397\) −21.4495 5.74737i −1.07652 0.288452i −0.323349 0.946280i \(-0.604809\pi\)
−0.753169 + 0.657828i \(0.771476\pi\)
\(398\) 10.2103 10.2103i 0.511795 0.511795i
\(399\) 0.484190 + 5.03265i 0.0242398 + 0.251947i
\(400\) −4.92121 0.884156i −0.246060 0.0442078i
\(401\) −11.2609 + 6.50151i −0.562345 + 0.324670i −0.754086 0.656776i \(-0.771920\pi\)
0.191741 + 0.981446i \(0.438587\pi\)
\(402\) 23.3562 1.35385i 1.16490 0.0675238i
\(403\) −2.32490 + 0.622956i −0.115812 + 0.0310316i
\(404\) −4.87639 8.44615i −0.242609 0.420212i
\(405\) 12.4389 + 15.8200i 0.618096 + 0.786103i
\(406\) −0.539238 −0.0267619
\(407\) −11.0079 11.0079i −0.545642 0.545642i
\(408\) −7.01476 10.6719i −0.347282 0.528336i
\(409\) 21.4633 + 12.3919i 1.06129 + 0.612738i 0.925790 0.378038i \(-0.123401\pi\)
0.135504 + 0.990777i \(0.456735\pi\)
\(410\) 3.08575 2.58077i 0.152394 0.127455i
\(411\) −4.85966 + 1.60882i −0.239709 + 0.0793574i
\(412\) 2.03956 + 7.61172i 0.100482 + 0.375003i
\(413\) −0.551219 0.147699i −0.0271237 0.00726778i
\(414\) −2.09551 + 0.243753i −0.102989 + 0.0119798i
\(415\) −14.6093 5.34411i −0.717142 0.262332i
\(416\) −2.37014 + 1.36840i −0.116206 + 0.0670915i
\(417\) 17.5011 + 8.79545i 0.857032 + 0.430715i
\(418\) −5.39942 + 3.39731i −0.264094 + 0.166168i
\(419\) −11.0792 −0.541254 −0.270627 0.962684i \(-0.587231\pi\)
−0.270627 + 0.962684i \(0.587231\pi\)
\(420\) 1.77627 + 1.88989i 0.0866731 + 0.0922174i
\(421\) −0.996093 1.72528i −0.0485466 0.0840852i 0.840731 0.541453i \(-0.182126\pi\)
−0.889278 + 0.457368i \(0.848792\pi\)
\(422\) 13.4145 3.59439i 0.653005 0.174972i
\(423\) −16.5438 + 6.56180i −0.804385 + 0.319046i
\(424\) 0.0554674 + 0.0320241i 0.00269374 + 0.00155523i
\(425\) −21.0479 30.2674i −1.02098 1.46818i
\(426\) −4.87093 14.7133i −0.235998 0.712862i
\(427\) −0.0529571 0.197638i −0.00256277 0.00956439i
\(428\) 2.99517 + 11.1781i 0.144777 + 0.540315i
\(429\) −2.18032 6.58594i −0.105267 0.317972i
\(430\) −0.0615344 + 0.690484i −0.00296745 + 0.0332981i
\(431\) −23.7422 13.7075i −1.14362 0.660269i −0.196295 0.980545i \(-0.562891\pi\)
−0.947324 + 0.320276i \(0.896224\pi\)
\(432\) −3.33671 3.98326i −0.160538 0.191645i
\(433\) −13.5060 + 3.61892i −0.649056 + 0.173914i −0.568302 0.822820i \(-0.692400\pi\)
−0.0807542 + 0.996734i \(0.525733\pi\)
\(434\) −0.294474 0.510044i −0.0141352 0.0244829i
\(435\) 3.11715 + 0.0966078i 0.149456 + 0.00463199i
\(436\) 11.6715 0.558963
\(437\) 2.71090 + 1.43062i 0.129680 + 0.0684359i
\(438\) −0.106477 0.0535119i −0.00508769 0.00255690i
\(439\) 7.98567 4.61053i 0.381135 0.220049i −0.297177 0.954822i \(-0.596045\pi\)
0.678312 + 0.734774i \(0.262712\pi\)
\(440\) −1.12423 + 3.07334i −0.0535958 + 0.146516i
\(441\) 2.27094 + 19.5230i 0.108140 + 0.929667i
\(442\) −19.4916 5.22277i −0.927123 0.248422i
\(443\) 7.02146 + 26.2044i 0.333599 + 1.24501i 0.905380 + 0.424603i \(0.139586\pi\)
−0.571780 + 0.820407i \(0.693747\pi\)
\(444\) −17.4905 + 5.79033i −0.830060 + 0.274797i
\(445\) 40.2287 + 3.58509i 1.90702 + 0.169950i
\(446\) 21.1001 + 12.1822i 0.999119 + 0.576842i
\(447\) −10.6041 16.1325i −0.501556 0.763040i
\(448\) −0.473527 0.473527i −0.0223721 0.0223721i
\(449\) 27.9069 1.31701 0.658505 0.752576i \(-0.271189\pi\)
0.658505 + 0.752576i \(0.271189\pi\)
\(450\) −9.92943 11.2431i −0.468078 0.530003i
\(451\) −1.31644 2.28014i −0.0619886 0.107367i
\(452\) −13.0173 + 3.48798i −0.612283 + 0.164061i
\(453\) 5.95633 0.345261i 0.279853 0.0162218i
\(454\) 2.97621 1.71831i 0.139680 0.0806444i
\(455\) 4.08198 + 0.363777i 0.191366 + 0.0170541i
\(456\) 0.723030 + 7.51513i 0.0338590 + 0.351928i
\(457\) 12.6467 12.6467i 0.591590 0.591590i −0.346471 0.938061i \(-0.612620\pi\)
0.938061 + 0.346471i \(0.112620\pi\)
\(458\) 3.07612 + 0.824245i 0.143738 + 0.0385144i
\(459\) 3.37090 38.1641i 0.157340 1.78135i
\(460\) 1.54898 0.270546i 0.0722216 0.0126143i
\(461\) 17.7657 10.2570i 0.827430 0.477717i −0.0255419 0.999674i \(-0.508131\pi\)
0.852972 + 0.521957i \(0.174798\pi\)
\(462\) 1.41852 0.932413i 0.0659956 0.0433798i
\(463\) −5.83121 5.83121i −0.271000 0.271000i 0.558503 0.829503i \(-0.311376\pi\)
−0.829503 + 0.558503i \(0.811376\pi\)
\(464\) −0.805231 −0.0373819
\(465\) 1.61088 + 3.00115i 0.0747026 + 0.139175i
\(466\) 11.6854 20.2397i 0.541316 0.937586i
\(467\) 13.9224 + 13.9224i 0.644250 + 0.644250i 0.951597 0.307347i \(-0.0994413\pi\)
−0.307347 + 0.951597i \(0.599441\pi\)
\(468\) −8.12307 1.19445i −0.375489 0.0552136i
\(469\) 7.83358 + 4.52272i 0.361721 + 0.208840i
\(470\) 12.0317 5.58681i 0.554980 0.257700i
\(471\) −32.8703 6.79668i −1.51459 0.313174i
\(472\) −0.823123 0.220555i −0.0378873 0.0101519i
\(473\) 0.438255 + 0.117430i 0.0201510 + 0.00539944i
\(474\) −5.22256 15.7754i −0.239880 0.724590i
\(475\) 2.65337 + 21.6324i 0.121745 + 0.992561i
\(476\) 4.93765i 0.226317i
\(477\) 0.0708421 + 0.178609i 0.00324364 + 0.00817793i
\(478\) −7.21230 + 26.9167i −0.329883 + 1.23114i
\(479\) −16.3115 + 28.2523i −0.745291 + 1.29088i 0.204768 + 0.978810i \(0.434356\pi\)
−0.950059 + 0.312071i \(0.898977\pi\)
\(480\) 2.65246 + 2.82213i 0.121068 + 0.128812i
\(481\) −14.5558 + 25.2115i −0.663689 + 1.14954i
\(482\) 9.89941 + 9.89941i 0.450906 + 0.450906i
\(483\) −0.728795 0.366268i −0.0331613 0.0166658i
\(484\) −7.67137 4.42907i −0.348699 0.201321i
\(485\) 5.14856 + 29.4775i 0.233784 + 1.33851i
\(486\) −0.431796 15.5825i −0.0195867 0.706835i
\(487\) 26.5540 26.5540i 1.20328 1.20328i 0.230113 0.973164i \(-0.426090\pi\)
0.973164 0.230113i \(-0.0739097\pi\)
\(488\) −0.0790795 0.295129i −0.00357976 0.0133599i
\(489\) −30.5947 27.2422i −1.38354 1.23194i
\(490\) −2.52057 14.4312i −0.113868 0.651937i
\(491\) 30.5324 17.6279i 1.37791 0.795536i 0.386001 0.922499i \(-0.373856\pi\)
0.991907 + 0.126963i \(0.0405230\pi\)
\(492\) −3.11076 + 0.180316i −0.140244 + 0.00812928i
\(493\) −4.19823 4.19823i −0.189079 0.189079i
\(494\) 8.74989 + 8.10872i 0.393676 + 0.364829i
\(495\) −8.36704 + 5.13583i −0.376070 + 0.230838i
\(496\) −0.439731 0.761636i −0.0197445 0.0341985i
\(497\) 1.55092 5.78810i 0.0695681 0.259632i
\(498\) 6.61861 + 10.0692i 0.296587 + 0.451211i
\(499\) 19.4635 11.2372i 0.871305 0.503048i 0.00352301 0.999994i \(-0.498879\pi\)
0.867782 + 0.496946i \(0.165545\pi\)
\(500\) 7.86726 + 7.94394i 0.351835 + 0.355264i
\(501\) −29.3628 + 9.72074i −1.31183 + 0.434291i
\(502\) 15.3382 15.3382i 0.684577 0.684577i
\(503\) −4.29218 16.0186i −0.191379 0.714235i −0.993175 0.116637i \(-0.962789\pi\)
0.801796 0.597598i \(-0.203878\pi\)
\(504\) −0.232125 1.99555i −0.0103397 0.0888889i
\(505\) −1.93580 + 21.7218i −0.0861418 + 0.966607i
\(506\) 1.02916i 0.0457517i
\(507\) 7.97486 5.24198i 0.354176 0.232805i
\(508\) −0.690243 + 2.57602i −0.0306246 + 0.114293i
\(509\) 6.91618 11.9792i 0.306554 0.530968i −0.671052 0.741411i \(-0.734157\pi\)
0.977606 + 0.210443i \(0.0674905\pi\)
\(510\) −0.884610 + 28.5429i −0.0391712 + 1.26390i
\(511\) −0.0230371 0.0399015i −0.00101910 0.00176514i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −12.2925 + 19.0235i −0.542729 + 0.839908i
\(514\) 8.82912i 0.389436i
\(515\) 6.05341 16.5483i 0.266745 0.729206i
\(516\) 0.357084 0.401029i 0.0157198 0.0176543i
\(517\) −2.24715 8.38647i −0.0988294 0.368836i
\(518\) −6.88061 1.84365i −0.302317 0.0810055i
\(519\) 18.0204 + 3.72612i 0.791008 + 0.163559i
\(520\) 6.09553 + 0.543220i 0.267307 + 0.0238218i
\(521\) 17.6718i 0.774214i −0.922035 0.387107i \(-0.873474\pi\)
0.922035 0.387107i \(-0.126526\pi\)
\(522\) −1.89408 1.49935i −0.0829015 0.0656247i
\(523\) −5.30946 + 1.42267i −0.232167 + 0.0622088i −0.373026 0.927821i \(-0.621680\pi\)
0.140860 + 0.990030i \(0.455013\pi\)
\(524\) 10.3963 0.454164
\(525\) −0.820385 5.74118i −0.0358045 0.250566i
\(526\) −9.69738 + 16.7963i −0.422826 + 0.732356i
\(527\) 1.67832 6.26356i 0.0731086 0.272845i
\(528\) 2.11824 1.39235i 0.0921848 0.0605943i
\(529\) 19.4903 11.2527i 0.847406 0.489250i
\(530\) −0.0603159 0.129896i −0.00261996 0.00564231i
\(531\) −1.52549 2.05146i −0.0662005 0.0890256i
\(532\) −1.36238 + 2.58158i −0.0590667 + 0.111926i
\(533\) −3.48147 + 3.48147i −0.150799 + 0.150799i
\(534\) −23.3645 20.8043i −1.01108 0.900289i
\(535\) 8.88967 24.3019i 0.384334 1.05066i
\(536\) 11.6977 + 6.75367i 0.505263 + 0.291714i
\(537\) −19.3425 + 1.12119i −0.834690 + 0.0483831i
\(538\) −8.62492 + 2.31104i −0.371847 + 0.0996361i
\(539\) −9.58826 −0.412996
\(540\) 0.984322 + 11.5772i 0.0423585 + 0.498203i
\(541\) 9.79492 16.9653i 0.421116 0.729395i −0.574933 0.818201i \(-0.694972\pi\)
0.996049 + 0.0888057i \(0.0283050\pi\)
\(542\) 2.86667 0.768121i 0.123134 0.0329936i
\(543\) 9.18996 18.2861i 0.394379 0.784731i
\(544\) 7.37328i 0.316127i
\(545\) −21.3542 15.0039i −0.914713 0.642695i
\(546\) −2.37079 2.11100i −0.101460 0.0903424i
\(547\) 0.779927 + 2.91073i 0.0333473 + 0.124454i 0.980593 0.196055i \(-0.0628130\pi\)
−0.947246 + 0.320508i \(0.896146\pi\)
\(548\) −2.85478 0.764935i −0.121950 0.0326764i
\(549\) 0.363521 0.841453i 0.0155147 0.0359124i
\(550\) 6.00773 4.17778i 0.256171 0.178141i
\(551\) 1.03663 + 3.35335i 0.0441618 + 0.142857i
\(552\) −1.08829 0.546939i −0.0463208 0.0232793i
\(553\) 1.66288 6.20594i 0.0707127 0.263903i
\(554\) 7.87809 + 13.6453i 0.334708 + 0.579731i
\(555\) 39.4442 + 11.8902i 1.67431 + 0.504713i
\(556\) 5.65426 + 9.79347i 0.239794 + 0.415336i
\(557\) 9.97808 2.67362i 0.422785 0.113285i −0.0411525 0.999153i \(-0.513103\pi\)
0.463937 + 0.885868i \(0.346436\pi\)
\(558\) 0.383833 2.61032i 0.0162489 0.110503i
\(559\) 0.848459i 0.0358860i
\(560\) 0.257641 + 1.47509i 0.0108873 + 0.0623341i
\(561\) 18.3032 + 3.78459i 0.772760 + 0.159785i
\(562\) −6.08815 + 6.08815i −0.256813 + 0.256813i
\(563\) −12.1784 + 12.1784i −0.513257 + 0.513257i −0.915523 0.402266i \(-0.868223\pi\)
0.402266 + 0.915523i \(0.368223\pi\)
\(564\) −10.0626 2.08066i −0.423710 0.0876116i
\(565\) 28.3004 + 10.3523i 1.19061 + 0.435526i
\(566\) 12.5822 + 7.26435i 0.528871 + 0.305344i
\(567\) 3.16973 5.12618i 0.133116 0.215279i
\(568\) 2.31595 8.64324i 0.0971750 0.362662i
\(569\) 15.8887 0.666088 0.333044 0.942911i \(-0.391924\pi\)
0.333044 + 0.942911i \(0.391924\pi\)
\(570\) 8.33796 14.6792i 0.349239 0.614843i
\(571\) 10.9692 0.459048 0.229524 0.973303i \(-0.426283\pi\)
0.229524 + 0.973303i \(0.426283\pi\)
\(572\) 1.03666 3.86887i 0.0433450 0.161766i
\(573\) −1.51753 26.1799i −0.0633957 1.09368i
\(574\) −1.04334 0.602371i −0.0435480 0.0251425i
\(575\) −3.18181 1.49625i −0.132691 0.0623978i
\(576\) −0.346627 2.97991i −0.0144428 0.124163i
\(577\) −16.0916 + 16.0916i −0.669902 + 0.669902i −0.957693 0.287792i \(-0.907079\pi\)
0.287792 + 0.957693i \(0.407079\pi\)
\(578\) 26.4212 26.4212i 1.09898 1.09898i
\(579\) −0.405489 + 1.96104i −0.0168515 + 0.0814980i
\(580\) 1.47325 + 1.03514i 0.0611736 + 0.0429817i
\(581\) 4.65880i 0.193280i
\(582\) 10.4084 20.7105i 0.431442 0.858478i
\(583\) −0.0905415 + 0.0242605i −0.00374984 + 0.00100477i
\(584\) −0.0344008 0.0595839i −0.00142351 0.00246560i
\(585\) 13.3265 + 12.6277i 0.550983 + 0.522091i
\(586\) 10.4850 + 18.1605i 0.433131 + 0.750205i
\(587\) 9.17729 34.2501i 0.378787 1.41365i −0.468944 0.883228i \(-0.655365\pi\)
0.847731 0.530426i \(-0.177968\pi\)
\(588\) −5.09561 + 10.1392i −0.210139 + 0.418133i
\(589\) −2.60571 + 2.81174i −0.107366 + 0.115856i
\(590\) 1.22246 + 1.46166i 0.0503279 + 0.0601758i
\(591\) 25.9413 + 23.0987i 1.06708 + 0.950153i
\(592\) −10.2747 2.75309i −0.422286 0.113151i
\(593\) 3.23365 + 12.0682i 0.132790 + 0.495580i 0.999997 0.00236789i \(-0.000753722\pi\)
−0.867207 + 0.497948i \(0.834087\pi\)
\(594\) 7.57514 + 0.669085i 0.310812 + 0.0274529i
\(595\) −6.34742 + 9.03394i −0.260219 + 0.370356i
\(596\) 11.1461i 0.456560i
\(597\) 22.3466 + 11.2306i 0.914586 + 0.459640i
\(598\) −1.85898 + 0.498112i −0.0760192 + 0.0203693i
\(599\) −13.8740 + 24.0305i −0.566877 + 0.981860i 0.429995 + 0.902831i \(0.358515\pi\)
−0.996872 + 0.0790288i \(0.974818\pi\)
\(600\) −1.22506 8.57317i −0.0500129 0.349998i
\(601\) −31.0564 −1.26682 −0.633409 0.773817i \(-0.718345\pi\)
−0.633409 + 0.773817i \(0.718345\pi\)
\(602\) 0.200535 0.0537332i 0.00817320 0.00219000i
\(603\) 14.9401 + 37.6673i 0.608408 + 1.53393i
\(604\) 2.98317 + 1.72233i 0.121383 + 0.0700807i
\(605\) 8.34193 + 17.9651i 0.339148 + 0.730385i
\(606\) 11.2334 12.6159i 0.456327 0.512484i
\(607\) 11.8005 11.8005i 0.478966 0.478966i −0.425835 0.904801i \(-0.640020\pi\)
0.904801 + 0.425835i \(0.140020\pi\)
\(608\) −2.03441 + 3.85502i −0.0825062 + 0.156342i
\(609\) −0.293535 0.886662i −0.0118946 0.0359294i
\(610\) −0.234708 + 0.641627i −0.00950306 + 0.0259787i
\(611\) −14.0609 + 8.11808i −0.568844 + 0.328422i
\(612\) 13.7291 17.3435i 0.554967 0.701071i
\(613\) 2.32255 8.66788i 0.0938070 0.350092i −0.903029 0.429580i \(-0.858662\pi\)
0.996836 + 0.0794874i \(0.0253283\pi\)
\(614\) 16.0895 27.8679i 0.649321 1.12466i
\(615\) 5.92326 + 3.66902i 0.238849 + 0.147949i
\(616\) 0.980068 0.0394881
\(617\) 6.31421 1.69189i 0.254201 0.0681128i −0.129468 0.991584i \(-0.541327\pi\)
0.383669 + 0.923471i \(0.374660\pi\)
\(618\) −11.4056 + 7.49707i −0.458802 + 0.301576i
\(619\) 22.9131i 0.920957i 0.887671 + 0.460478i \(0.152322\pi\)
−0.887671 + 0.460478i \(0.847678\pi\)
\(620\) −0.174561 + 1.95877i −0.00701056 + 0.0786662i
\(621\) −1.54149 3.31293i −0.0618580 0.132943i
\(622\) −15.4752 4.14657i −0.620500 0.166262i
\(623\) −3.13058 11.6835i −0.125424 0.468089i
\(624\) −3.54024 3.15230i −0.141723 0.126193i
\(625\) −4.18192 24.6477i −0.167277 0.985910i
\(626\) 19.1580i 0.765709i
\(627\) −8.52534 7.02887i −0.340469 0.280706i
\(628\) −13.7031 13.7031i −0.546814 0.546814i
\(629\) −39.2152 67.9226i −1.56361 2.70825i
\(630\) −2.14061 + 3.94947i −0.0852840 + 0.157351i
\(631\) −10.8171 + 18.7358i −0.430622 + 0.745859i −0.996927 0.0783368i \(-0.975039\pi\)
0.566305 + 0.824196i \(0.308372\pi\)
\(632\) 2.48313 9.26718i 0.0987738 0.368629i
\(633\) 13.2124 + 20.1006i 0.525146 + 0.798927i
\(634\) 4.43015i 0.175944i
\(635\) 4.57439 3.82578i 0.181529 0.151822i
\(636\) −0.0224631 + 0.108637i −0.000890719 + 0.00430773i
\(637\) 4.64070 + 17.3193i 0.183871 + 0.686217i
\(638\) 0.833301 0.833301i 0.0329907 0.0329907i
\(639\) 21.5414 16.0184i 0.852165 0.633679i
\(640\) 0.384729 + 2.20272i 0.0152077 + 0.0870702i
\(641\) −37.9203 + 21.8933i −1.49776 + 0.864734i −0.999997 0.00257788i \(-0.999179\pi\)
−0.497766 + 0.867311i \(0.665846\pi\)
\(642\) −16.7496 + 11.0098i −0.661055 + 0.434520i
\(643\) −5.00971 + 18.6965i −0.197564 + 0.737318i 0.794025 + 0.607886i \(0.207982\pi\)
−0.991588 + 0.129432i \(0.958685\pi\)
\(644\) −0.235459 0.407828i −0.00927840 0.0160707i
\(645\) −1.16885 + 0.274686i −0.0460235 + 0.0108158i
\(646\) −30.7057 + 9.49210i −1.20810 + 0.373462i
\(647\) −5.33088 5.33088i −0.209579 0.209579i 0.594510 0.804088i \(-0.297346\pi\)
−0.804088 + 0.594510i \(0.797346\pi\)
\(648\) 4.73328 7.65481i 0.185941 0.300709i
\(649\) 1.08006 0.623573i 0.0423960 0.0244774i
\(650\) −10.4541 8.82977i −0.410043 0.346332i
\(651\) 0.678361 0.761843i 0.0265871 0.0298590i
\(652\) −6.12145 22.8456i −0.239735 0.894702i
\(653\) 27.8185 27.8185i 1.08862 1.08862i 0.0929511 0.995671i \(-0.470370\pi\)
0.995671 0.0929511i \(-0.0296300\pi\)
\(654\) 6.35339 + 19.1913i 0.248437 + 0.750438i
\(655\) −19.0211 13.3646i −0.743216 0.522198i
\(656\) −1.55799 0.899506i −0.0608293 0.0351198i
\(657\) 0.0300278 0.204209i 0.00117150 0.00796694i
\(658\) −2.80921 2.80921i −0.109514 0.109514i
\(659\) −13.1928 + 22.8507i −0.513920 + 0.890135i 0.485950 + 0.873987i \(0.338474\pi\)
−0.999870 + 0.0161485i \(0.994860\pi\)
\(660\) −5.66544 0.175585i −0.220527 0.00683464i
\(661\) −4.05832 + 7.02922i −0.157850 + 0.273405i −0.934093 0.357029i \(-0.883790\pi\)
0.776243 + 0.630434i \(0.217123\pi\)
\(662\) −6.02410 + 22.4823i −0.234133 + 0.873798i
\(663\) −2.02258 34.8929i −0.0785504 1.35513i
\(664\) 6.95688i 0.269979i
\(665\) 5.81128 2.97192i 0.225352 0.115246i
\(666\) −19.0419 25.6074i −0.737860 0.992265i
\(667\) −0.546954 0.146556i −0.0211781 0.00567467i
\(668\) −17.2490 4.62185i −0.667383 0.178825i
\(669\) −8.54508 + 41.3260i −0.330372 + 1.59776i
\(670\) −12.7202 27.3941i −0.491424 1.05833i
\(671\) 0.387253 + 0.223581i 0.0149497 + 0.00863123i
\(672\) 0.520849 1.03638i 0.0200922 0.0399792i
\(673\) −25.4679 25.4679i −0.981716 0.981716i 0.0181197 0.999836i \(-0.494232\pi\)
−0.999836 + 0.0181197i \(0.994232\pi\)
\(674\) −11.8876 + 20.5899i −0.457892 + 0.793092i
\(675\) 13.0817 22.4470i 0.503516 0.863986i
\(676\) 5.50989 0.211919
\(677\) −27.0838 27.0838i −1.04092 1.04092i −0.999126 0.0417889i \(-0.986694\pi\)
−0.0417889 0.999126i \(-0.513306\pi\)
\(678\) −12.8212 19.5055i −0.492397 0.749105i
\(679\) 7.76107 4.48086i 0.297843 0.171960i
\(680\) −9.47846 + 13.4902i −0.363482 + 0.517325i
\(681\) 4.44550 + 3.95837i 0.170352 + 0.151685i
\(682\) 1.24325 + 0.333127i 0.0476063 + 0.0127561i
\(683\) −0.258878 + 0.258878i −0.00990570 + 0.00990570i −0.712042 0.702137i \(-0.752230\pi\)
0.702137 + 0.712042i \(0.252230\pi\)
\(684\) −11.9635 + 5.27975i −0.457434 + 0.201876i
\(685\) 4.23978 + 5.06939i 0.161994 + 0.193691i
\(686\) −7.85922 + 4.53752i −0.300066 + 0.173243i
\(687\) 0.319198 + 5.50671i 0.0121782 + 0.210094i
\(688\) 0.299454 0.0802385i 0.0114166 0.00305906i
\(689\) 0.0876439 + 0.151804i 0.00333897 + 0.00578326i
\(690\) 1.28805 + 2.39970i 0.0490351 + 0.0913549i
\(691\) −46.4176 −1.76581 −0.882905 0.469552i \(-0.844416\pi\)
−0.882905 + 0.469552i \(0.844416\pi\)
\(692\) 7.51243 + 7.51243i 0.285580 + 0.285580i
\(693\) 2.30533 + 1.82490i 0.0875723 + 0.0693221i
\(694\) 1.20384 + 0.695039i 0.0456972 + 0.0263833i
\(695\) 2.24459 25.1868i 0.0851423 0.955390i
\(696\) −0.438329 1.32403i −0.0166148 0.0501873i
\(697\) −3.43313 12.8126i −0.130039 0.485313i
\(698\) −11.6871 3.13156i −0.442364 0.118531i
\(699\) 39.6409 + 8.19664i 1.49936 + 0.310025i
\(700\) 1.42487 3.03004i 0.0538552 0.114525i
\(701\) 41.6532 24.0485i 1.57322 0.908299i 0.577448 0.816427i \(-0.304049\pi\)
0.995771 0.0918713i \(-0.0292848\pi\)
\(702\) −2.45778 14.0069i −0.0927630 0.528655i
\(703\) 1.76214 + 46.3326i 0.0664603 + 1.74747i
\(704\) 1.46351 0.0551582
\(705\) 15.7358 + 16.7424i 0.592644 + 0.630554i
\(706\) 16.1216 + 27.9234i 0.606744 + 1.05091i
\(707\) 6.30858 1.69038i 0.237259 0.0635733i
\(708\) −0.0854125 1.47351i −0.00321000 0.0553779i
\(709\) −0.236516 0.136553i −0.00888255 0.00512834i 0.495552 0.868578i \(-0.334966\pi\)
−0.504435 + 0.863450i \(0.668299\pi\)
\(710\) −15.3483 + 12.8365i −0.576011 + 0.481746i
\(711\) 23.0965 17.1748i 0.866185 0.644105i
\(712\) −4.67482 17.4467i −0.175196 0.653841i
\(713\) −0.160066 0.597375i −0.00599453 0.0223719i
\(714\) 8.11892 2.68782i 0.303843 0.100589i
\(715\) −6.87017 + 5.74586i −0.256930 + 0.214883i
\(716\) −9.68748 5.59307i −0.362038 0.209023i
\(717\) −48.1848 + 2.79304i −1.79949 + 0.104308i
\(718\) −7.77628 + 2.08365i −0.290208 + 0.0777611i
\(719\) 3.44969 + 5.97504i 0.128652 + 0.222831i 0.923154 0.384429i \(-0.125602\pi\)
−0.794503 + 0.607261i \(0.792268\pi\)
\(720\) −3.19653 + 5.89765i −0.119127 + 0.219792i
\(721\) −5.27715 −0.196531
\(722\) 18.6731 + 3.50939i 0.694940 + 0.130606i
\(723\) −10.8887 + 21.6662i −0.404955 + 0.805776i
\(724\) 10.2327 5.90788i 0.380297 0.219565i
\(725\) −1.36479 3.78778i −0.0506869 0.140675i
\(726\) 3.10673 15.0249i 0.115302 0.557626i
\(727\) 35.8741 + 9.61244i 1.33050 + 0.356506i 0.852901 0.522073i \(-0.174841\pi\)
0.477597 + 0.878579i \(0.341508\pi\)
\(728\) −0.474351 1.77030i −0.0175806 0.0656118i
\(729\) 25.3870 9.19235i 0.940260 0.340457i
\(730\) −0.0136562 + 0.153238i −0.000505439 + 0.00567158i
\(731\) 1.97960 + 1.14292i 0.0732182 + 0.0422725i
\(732\) 0.442229 0.290683i 0.0163453 0.0107440i
\(733\) −4.80731 4.80731i −0.177562 0.177562i 0.612730 0.790292i \(-0.290071\pi\)
−0.790292 + 0.612730i \(0.790071\pi\)
\(734\) 1.11285 0.0410762
\(735\) 22.3570 12.0002i 0.824651 0.442634i
\(736\) −0.351606 0.609000i −0.0129604 0.0224480i
\(737\) −19.0946 + 5.11637i −0.703357 + 0.188464i
\(738\) −1.98984 5.01683i −0.0732470 0.184672i
\(739\) −35.7413 + 20.6352i −1.31476 + 0.759079i −0.982881 0.184241i \(-0.941017\pi\)
−0.331883 + 0.943321i \(0.607684\pi\)
\(740\) 15.2594 + 18.2453i 0.560947 + 0.670710i
\(741\) −8.57005 + 18.8013i −0.314829 + 0.690684i
\(742\) −0.0303286 + 0.0303286i −0.00111340 + 0.00111340i
\(743\) −18.7202 5.01607i −0.686779 0.184022i −0.101478 0.994838i \(-0.532357\pi\)
−0.585301 + 0.810816i \(0.699024\pi\)
\(744\) 1.01298 1.13764i 0.0371377 0.0417080i
\(745\) −14.3284 + 20.3929i −0.524953 + 0.747137i
\(746\) −12.2357 + 7.06428i −0.447980 + 0.258642i
\(747\) −12.9538 + 16.3641i −0.473954 + 0.598731i
\(748\) 7.63030 + 7.63030i 0.278992 + 0.278992i
\(749\) −7.74970 −0.283168
\(750\) −8.77956 + 17.2603i −0.320584 + 0.630258i
\(751\) 16.0564 27.8105i 0.585907 1.01482i −0.408855 0.912599i \(-0.634072\pi\)
0.994762 0.102221i \(-0.0325948\pi\)
\(752\) −4.19492 4.19492i −0.152973 0.152973i
\(753\) 33.5698 + 16.8710i 1.22335 + 0.614815i
\(754\) −1.90851 1.10188i −0.0695040 0.0401281i
\(755\) −3.24393 6.98609i −0.118059 0.254250i
\(756\) 3.15490 1.46796i 0.114743 0.0533893i
\(757\) 2.71145 + 0.726532i 0.0985494 + 0.0264062i 0.307757 0.951465i \(-0.400422\pi\)
−0.209207 + 0.977871i \(0.567088\pi\)
\(758\) −19.3505 5.18496i −0.702843 0.188326i
\(759\) 1.69223 0.560225i 0.0614242 0.0203349i
\(760\) 8.67785 4.43790i 0.314779 0.160979i
\(761\) 30.9691i 1.12263i 0.827602 + 0.561315i \(0.189704\pi\)
−0.827602 + 0.561315i \(0.810296\pi\)
\(762\) −4.61146 + 0.267305i −0.167055 + 0.00968343i
\(763\) −2.02294 + 7.54970i −0.0732352 + 0.273317i
\(764\) 7.57019 13.1119i 0.273880 0.474374i
\(765\) −47.4142 + 14.0828i −1.71426 + 0.509165i
\(766\) 6.40451 11.0929i 0.231404 0.400804i
\(767\) −1.64911 1.64911i −0.0595459 0.0595459i
\(768\) 0.777772 1.54760i 0.0280654 0.0558443i
\(769\) 30.7455 + 17.7509i 1.10871 + 0.640114i 0.938495 0.345293i \(-0.112221\pi\)
0.170215 + 0.985407i \(0.445554\pi\)
\(770\) −1.79314 1.25989i −0.0646201 0.0454034i
\(771\) 14.5176 4.80615i 0.522839 0.173089i
\(772\) −0.817526 + 0.817526i −0.0294234 + 0.0294234i
\(773\) −12.4349 46.4075i −0.447251 1.66916i −0.709924 0.704278i \(-0.751271\pi\)
0.262673 0.964885i \(-0.415396\pi\)
\(774\) 0.853786 + 0.368849i 0.0306887 + 0.0132580i
\(775\) 2.83741 3.35938i 0.101923 0.120672i
\(776\) 11.5894 6.69116i 0.416036 0.240199i
\(777\) −0.713976 12.3173i −0.0256138 0.441881i
\(778\) 19.6398 + 19.6398i 0.704121 + 0.704121i
\(779\) −1.74025 + 7.64617i −0.0623509 + 0.273953i
\(780\) 2.42490 + 10.3185i 0.0868254 + 0.369462i
\(781\) 6.54785 + 11.3412i 0.234301 + 0.405821i
\(782\) 1.34197 5.00830i 0.0479888 0.179097i
\(783\) 1.43432 3.93058i 0.0512583 0.140467i
\(784\) −5.67380 + 3.27577i −0.202636 + 0.116992i
\(785\) 7.45572 + 42.6869i 0.266106 + 1.52356i
\(786\) 5.65924 + 17.0945i 0.201858 + 0.609740i
\(787\) −36.2834 + 36.2834i −1.29336 + 1.29336i −0.360671 + 0.932693i \(0.617452\pi\)
−0.932693 + 0.360671i \(0.882548\pi\)
\(788\) 5.19038 + 19.3708i 0.184900 + 0.690055i
\(789\) −32.8968 6.80215i −1.17116 0.242163i
\(790\) −16.4563 + 13.7632i −0.585487 + 0.489672i
\(791\) 9.02480i 0.320885i
\(792\) 3.44250 + 2.72507i 0.122324 + 0.0968313i
\(793\) 0.216425 0.807710i 0.00768549 0.0286826i
\(794\) 11.1031 19.2311i 0.394033 0.682485i
\(795\) 0.180753 0.169886i 0.00641064 0.00602523i
\(796\) 7.21975 + 12.5050i 0.255897 + 0.443227i
\(797\) 17.2549 + 17.2549i 0.611199 + 0.611199i 0.943259 0.332059i \(-0.107743\pi\)
−0.332059 + 0.943259i \(0.607743\pi\)
\(798\) −4.98648 0.834853i −0.176520 0.0295535i
\(799\) 43.7421i 1.54748i
\(800\) 2.12773 4.52468i 0.0752266 0.159972i
\(801\) 21.4897 49.7429i 0.759301 1.75758i
\(802\) −3.36543 12.5600i −0.118837 0.443507i
\(803\) 0.0972609 + 0.0260610i 0.00343226 + 0.000919672i
\(804\) −4.73731 + 22.9107i −0.167072 + 0.808000i
\(805\) −0.0934712 + 1.04885i −0.00329443 + 0.0369671i
\(806\) 2.40692i 0.0847800i
\(807\) −8.49501 12.9238i −0.299039 0.454941i
\(808\) 9.42046 2.52420i 0.331411 0.0888012i
\(809\) 11.6702 0.410302 0.205151 0.978730i \(-0.434231\pi\)
0.205151 + 0.978730i \(0.434231\pi\)
\(810\) −18.5004 + 7.92057i −0.650038 + 0.278300i
\(811\) −4.78234 + 8.28325i −0.167931 + 0.290864i −0.937692 0.347467i \(-0.887042\pi\)
0.769762 + 0.638332i \(0.220375\pi\)
\(812\) 0.139565 0.520864i 0.00489777 0.0182787i
\(813\) 2.82349 + 4.29550i 0.0990240 + 0.150650i
\(814\) 13.4819 7.78377i 0.472540 0.272821i
\(815\) −18.1685 + 49.6676i −0.636415 + 1.73978i
\(816\) 12.1238 4.01366i 0.424417 0.140506i
\(817\) −0.719657 1.14377i −0.0251776 0.0400154i
\(818\) −17.5247 + 17.5247i −0.612738 + 0.612738i
\(819\) 2.18055 5.04738i 0.0761944 0.176370i
\(820\) 1.69418 + 3.64856i 0.0591632 + 0.127413i
\(821\) 9.20850 + 5.31653i 0.321379 + 0.185548i 0.652007 0.758213i \(-0.273927\pi\)
−0.330628 + 0.943761i \(0.607261\pi\)
\(822\) −0.296230 5.11047i −0.0103322 0.178248i
\(823\) −42.9134 + 11.4986i −1.49587 + 0.400816i −0.911713 0.410827i \(-0.865240\pi\)
−0.584153 + 0.811643i \(0.698573\pi\)
\(824\) −7.88024 −0.274521
\(825\) 10.1398 + 7.60426i 0.353022 + 0.264746i
\(826\) 0.285332 0.494210i 0.00992797 0.0171958i
\(827\) −26.6431 + 7.13901i −0.926473 + 0.248248i −0.690350 0.723475i \(-0.742543\pi\)
−0.236123 + 0.971723i \(0.575877\pi\)
\(828\) 0.306910 2.08719i 0.0106659 0.0725350i
\(829\) 45.2325i 1.57099i 0.618868 + 0.785495i \(0.287592\pi\)
−0.618868 + 0.785495i \(0.712408\pi\)
\(830\) 8.94318 12.7283i 0.310422 0.441807i
\(831\) −18.1483 + 20.3817i −0.629556 + 0.707032i
\(832\) −0.708337 2.64355i −0.0245572 0.0916487i
\(833\) −46.6603 12.5026i −1.61669 0.433189i
\(834\) −13.0254 + 14.6283i −0.451032 + 0.506538i
\(835\) 25.6173 + 30.6300i 0.886525 + 1.05999i
\(836\) −1.88408 6.09473i −0.0651621 0.210791i
\(837\) 4.50105 0.789799i 0.155579 0.0272994i
\(838\) 2.86751 10.7017i 0.0990564 0.369684i
\(839\) −1.02582 1.77677i −0.0354153 0.0613411i 0.847774 0.530357i \(-0.177942\pi\)
−0.883190 + 0.469016i \(0.844609\pi\)
\(840\) −2.28523 + 1.22661i −0.0788479 + 0.0423219i
\(841\) 14.1758 + 24.5532i 0.488821 + 0.846662i
\(842\) 1.92430 0.515616i 0.0663159 0.0177693i
\(843\) −13.3248 6.69658i −0.458930 0.230642i
\(844\) 13.8877i 0.478033i
\(845\) −10.0809 7.08305i −0.346794 0.243664i
\(846\) −2.05637 17.6784i −0.0706995 0.607794i
\(847\) 4.19457 4.19457i 0.144127 0.144127i
\(848\) −0.0452890 + 0.0452890i −0.00155523 + 0.00155523i
\(849\) −5.09553 + 24.6432i −0.174878 + 0.845751i
\(850\) 34.6837 12.4970i 1.18964 0.428643i
\(851\) −6.47799 3.74007i −0.222063 0.128208i
\(852\) 15.4727 0.896877i 0.530084 0.0307265i
\(853\) 11.1515 41.6180i 0.381820 1.42497i −0.461298 0.887245i \(-0.652616\pi\)
0.843118 0.537728i \(-0.180717\pi\)
\(854\) 0.204610 0.00700162
\(855\) 28.6756 + 5.71936i 0.980684 + 0.195598i
\(856\) −11.5724 −0.395538
\(857\) −14.4245 + 53.8329i −0.492731 + 1.83890i 0.0496516 + 0.998767i \(0.484189\pi\)
−0.542383 + 0.840131i \(0.682478\pi\)
\(858\) 6.92584 0.401459i 0.236444 0.0137056i
\(859\) −28.3297 16.3562i −0.966597 0.558065i −0.0683999 0.997658i \(-0.521789\pi\)
−0.898197 + 0.439593i \(0.855123\pi\)
\(860\) −0.651030 0.238148i −0.0222000 0.00812079i
\(861\) 0.422528 2.04345i 0.0143997 0.0696405i
\(862\) 19.3854 19.3854i 0.660269 0.660269i
\(863\) −28.1212 + 28.1212i −0.957258 + 0.957258i −0.999123 0.0418657i \(-0.986670\pi\)
0.0418657 + 0.999123i \(0.486670\pi\)
\(864\) 4.71114 2.19207i 0.160276 0.0745758i
\(865\) −4.08743 23.4021i −0.138977 0.795695i
\(866\) 13.9824i 0.475142i
\(867\) 57.8264 + 29.0616i 1.96389 + 0.986984i
\(868\) 0.568880 0.152431i 0.0193090 0.00517384i
\(869\) 7.02054 + 12.1599i 0.238155 + 0.412497i
\(870\) −0.900094 + 2.98593i −0.0305160 + 0.101233i
\(871\) 18.4835 + 32.0143i 0.626289 + 1.08476i
\(872\) −3.02080 + 11.2738i −0.102297 + 0.381779i
\(873\) 39.7198 + 5.84059i 1.34431 + 0.197674i
\(874\) −2.08351 + 2.24825i −0.0704756 + 0.0760483i
\(875\) −6.50211 + 3.71207i −0.219812 + 0.125491i
\(876\) 0.0792469 0.0889994i 0.00267751 0.00300701i
\(877\) −21.1732 5.67334i −0.714968 0.191575i −0.117043 0.993127i \(-0.537341\pi\)
−0.597925 + 0.801552i \(0.704008\pi\)
\(878\) 2.38659 + 8.90686i 0.0805434 + 0.300592i
\(879\) −24.1536 + 27.1261i −0.814681 + 0.914939i
\(880\) −2.67765 1.88137i −0.0902635 0.0634209i
\(881\) 2.43849i 0.0821549i −0.999156 0.0410774i \(-0.986921\pi\)
0.999156 0.0410774i \(-0.0130790\pi\)
\(882\) −19.4455 2.85936i −0.654765 0.0962797i
\(883\) −13.3003 + 3.56380i −0.447590 + 0.119932i −0.475572 0.879677i \(-0.657759\pi\)
0.0279813 + 0.999608i \(0.491092\pi\)
\(884\) 10.0896 17.4757i 0.339350 0.587772i
\(885\) −1.73795 + 2.80574i −0.0584205 + 0.0943139i
\(886\) −27.1288 −0.911411
\(887\) 43.4060 11.6306i 1.45743 0.390518i 0.558830 0.829282i \(-0.311250\pi\)
0.898602 + 0.438764i \(0.144584\pi\)
\(888\) −1.06616 18.3931i −0.0357781 0.617233i
\(889\) −1.54667 0.892968i −0.0518735 0.0299492i
\(890\) −13.8749 + 37.9300i −0.465087 + 1.27142i
\(891\) 3.02337 + 12.8199i 0.101287 + 0.429484i
\(892\) −17.2282 + 17.2282i −0.576842 + 0.576842i
\(893\) −12.0692 + 22.8700i −0.403879 + 0.765315i
\(894\) 18.3273 6.06738i 0.612957 0.202923i
\(895\) 10.5343 + 22.6865i 0.352122 + 0.758326i
\(896\) 0.579950 0.334834i 0.0193748 0.0111860i
\(897\) −1.83098 2.78555i −0.0611345 0.0930067i
\(898\) −7.22285 + 26.9560i −0.241030 + 0.899535i
\(899\) 0.354085 0.613293i 0.0118094 0.0204545i
\(900\) 13.4299 6.68117i 0.447663 0.222706i
\(901\) −0.472246 −0.0157328
\(902\) 2.54316 0.681438i 0.0846781 0.0226894i
\(903\) 0.197514 + 0.300487i 0.00657287 + 0.00999960i
\(904\) 13.4765i 0.448222i
\(905\) −26.3165 2.34527i −0.874791 0.0779594i
\(906\) −1.20812 + 5.84274i −0.0401370 + 0.194112i
\(907\) 52.6354 + 14.1036i 1.74773 + 0.468303i 0.984139 0.177398i \(-0.0567680\pi\)
0.763591 + 0.645701i \(0.223435\pi\)
\(908\) 0.889464 + 3.31953i 0.0295179 + 0.110162i
\(909\) 26.8590 + 11.6035i 0.890858 + 0.384864i
\(910\) −1.40788 + 3.84874i −0.0466706 + 0.127584i
\(911\) 15.9877i 0.529696i −0.964290 0.264848i \(-0.914678\pi\)
0.964290 0.264848i \(-0.0853217\pi\)
\(912\) −7.44620 1.24667i −0.246568 0.0412813i
\(913\) −7.19939 7.19939i −0.238265 0.238265i
\(914\) 8.94260 + 15.4890i 0.295795 + 0.512332i
\(915\) −1.18278 0.0366572i −0.0391016 0.00121185i
\(916\) −1.59232 + 2.75798i −0.0526117 + 0.0911261i
\(917\) −1.80192 + 6.72484i −0.0595045 + 0.222074i
\(918\) 35.9912 + 13.1336i 1.18789 + 0.433474i
\(919\) 12.1679i 0.401381i −0.979655 0.200691i \(-0.935681\pi\)
0.979655 0.200691i \(-0.0643186\pi\)
\(920\) −0.139578 + 1.56622i −0.00460176 + 0.0516368i
\(921\) 54.5812 + 11.2859i 1.79851 + 0.371882i
\(922\) 5.30942 + 19.8150i 0.174857 + 0.652573i
\(923\) 17.3166 17.3166i 0.569981 0.569981i
\(924\) 0.533502 + 1.61151i 0.0175509 + 0.0530149i
\(925\) −4.46411 52.9979i −0.146779 1.74256i
\(926\) 7.14175 4.12329i 0.234692 0.135500i
\(927\) −18.5360 14.6731i −0.608803 0.481927i
\(928\) 0.208409 0.777794i 0.00684137 0.0255323i
\(929\) 3.05569 + 5.29261i 0.100254 + 0.173645i 0.911789 0.410658i \(-0.134701\pi\)
−0.811535 + 0.584303i \(0.801368\pi\)
\(930\) −3.31581 + 0.779233i −0.108730 + 0.0255520i
\(931\) 20.9461 + 19.4112i 0.686480 + 0.636176i
\(932\) 16.5257 + 16.5257i 0.541316 + 0.541316i
\(933\) −1.60581 27.7029i −0.0525718 0.906952i
\(934\) −17.0513 + 9.84460i −0.557937 + 0.322125i
\(935\) −4.15156 23.7693i −0.135771 0.777339i
\(936\) 3.25616 7.53713i 0.106431 0.246359i
\(937\) −13.7184 51.1978i −0.448161 1.67256i −0.707453 0.706761i \(-0.750156\pi\)
0.259292 0.965799i \(-0.416511\pi\)
\(938\) −6.39609 + 6.39609i −0.208840 + 0.208840i
\(939\) −31.5013 + 10.4287i −1.02801 + 0.340328i
\(940\) 2.28241 + 13.0677i 0.0744441 + 0.426221i
\(941\) 12.1148 + 6.99446i 0.394930 + 0.228013i 0.684294 0.729206i \(-0.260111\pi\)
−0.289364 + 0.957219i \(0.593444\pi\)
\(942\) 15.0726 29.9912i 0.491090 0.977166i
\(943\) −0.894552 0.894552i −0.0291306 0.0291306i
\(944\) 0.426080 0.737992i 0.0138677 0.0240196i
\(945\) −7.65930 1.36988i −0.249157 0.0445623i
\(946\) −0.226857 + 0.392929i −0.00737577 + 0.0127752i
\(947\) −5.29999 + 19.7798i −0.172227 + 0.642758i 0.824781 + 0.565452i \(0.191298\pi\)
−0.997007 + 0.0773057i \(0.975368\pi\)
\(948\) 16.5896 0.961622i 0.538806 0.0312320i
\(949\) 0.188297i 0.00611236i
\(950\) −21.5820 3.03592i −0.700213 0.0984981i
\(951\) 7.28444 2.41156i 0.236214 0.0782002i
\(952\) 4.76940 + 1.27796i 0.154577 + 0.0414189i
\(953\) 38.4011 + 10.2895i 1.24393 + 0.333311i 0.819990 0.572378i \(-0.193979\pi\)
0.423943 + 0.905689i \(0.360646\pi\)
\(954\) −0.190858 + 0.0222009i −0.00617926 + 0.000718780i
\(955\) −30.7060 + 14.2581i −0.993624 + 0.461381i
\(956\) −24.1328 13.9331i −0.780511 0.450628i
\(957\) 1.82380 + 0.916577i 0.0589549 + 0.0296287i
\(958\) −23.0679 23.0679i −0.745291 0.745291i
\(959\) 0.989597 1.71403i 0.0319557 0.0553490i
\(960\) −3.41248 + 1.83166i −0.110137 + 0.0591166i
\(961\) −30.2265 −0.975050
\(962\) −20.5851 20.5851i −0.663689 0.663689i
\(963\) −27.2209 21.5480i −0.877181 0.694375i
\(964\) −12.1242 + 6.99994i −0.390496 + 0.225453i
\(965\) 2.54669 0.444807i 0.0819809 0.0143188i
\(966\) 0.542413 0.609165i 0.0174519 0.0195996i
\(967\) −25.1943 6.75080i −0.810195 0.217091i −0.170140 0.985420i \(-0.554422\pi\)
−0.640055 + 0.768329i \(0.721089\pi\)
\(968\) 6.26365 6.26365i 0.201321 0.201321i
\(969\) −32.3224 45.3219i −1.03835 1.45595i
\(970\) −29.8056 2.65621i −0.957002 0.0852858i
\(971\) −50.7127 + 29.2790i −1.62745 + 0.939607i −0.642596 + 0.766205i \(0.722143\pi\)
−0.984851 + 0.173403i \(0.944524\pi\)
\(972\) 15.1633 + 3.61596i 0.486362 + 0.115982i
\(973\) −7.31492 + 1.96003i −0.234506 + 0.0628356i
\(974\) 18.7765 + 32.5219i 0.601639 + 1.04207i
\(975\) 8.82798 21.9960i 0.282722 0.704436i
\(976\) 0.305540 0.00978009
\(977\) −8.98793 8.98793i −0.287549 0.287549i 0.548561 0.836110i \(-0.315176\pi\)
−0.836110 + 0.548561i \(0.815176\pi\)
\(978\) 34.2325 22.5015i 1.09463 0.719517i
\(979\) 22.8926 + 13.2171i 0.731651 + 0.422419i
\(980\) 14.5919 + 1.30039i 0.466120 + 0.0415396i
\(981\) −28.0975 + 20.8936i −0.897084 + 0.667082i
\(982\) 9.12487 + 34.0545i 0.291186 + 1.08672i
\(983\) 29.1183 + 7.80222i 0.928730 + 0.248852i 0.691313 0.722556i \(-0.257033\pi\)
0.237417 + 0.971408i \(0.423699\pi\)
\(984\) 0.630952 3.05143i 0.0201140 0.0972761i
\(985\) 15.4051 42.1132i 0.490847 1.34184i
\(986\) 5.14176 2.96860i 0.163747 0.0945394i
\(987\) 3.08995 6.14834i 0.0983541 0.195704i
\(988\) −10.0971 + 6.35306i −0.321230 + 0.202118i
\(989\) 0.218008 0.00693226
\(990\) −2.79528 9.41119i −0.0888398 0.299107i
\(991\) −19.3864 33.5782i −0.615828 1.06665i −0.990239 0.139383i \(-0.955488\pi\)
0.374410 0.927263i \(-0.377845\pi\)
\(992\) 0.849495 0.227621i 0.0269715 0.00722699i
\(993\) −40.2465 + 2.33290i −1.27718 + 0.0740324i
\(994\) 5.18947 + 2.99614i 0.164600 + 0.0950319i
\(995\) 2.86605 32.1603i 0.0908599 1.01955i
\(996\) −11.4391 + 3.78699i −0.362462 + 0.119995i
\(997\) 13.7259 + 51.2259i 0.434705 + 1.62234i 0.741771 + 0.670654i \(0.233986\pi\)
−0.307066 + 0.951688i \(0.599347\pi\)
\(998\) 5.81682 + 21.7087i 0.184128 + 0.687176i
\(999\) 31.7404 45.2498i 1.00422 1.43164i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 570.2.v.c.83.1 144
3.2 odd 2 inner 570.2.v.c.83.33 yes 144
5.2 odd 4 inner 570.2.v.c.197.10 yes 144
15.2 even 4 inner 570.2.v.c.197.31 yes 144
19.11 even 3 inner 570.2.v.c.353.31 yes 144
57.11 odd 6 inner 570.2.v.c.353.10 yes 144
95.87 odd 12 inner 570.2.v.c.467.33 yes 144
285.182 even 12 inner 570.2.v.c.467.1 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.v.c.83.1 144 1.1 even 1 trivial
570.2.v.c.83.33 yes 144 3.2 odd 2 inner
570.2.v.c.197.10 yes 144 5.2 odd 4 inner
570.2.v.c.197.31 yes 144 15.2 even 4 inner
570.2.v.c.353.10 yes 144 57.11 odd 6 inner
570.2.v.c.353.31 yes 144 19.11 even 3 inner
570.2.v.c.467.1 yes 144 285.182 even 12 inner
570.2.v.c.467.33 yes 144 95.87 odd 12 inner