Properties

Label 637.2.w.b.547.7
Level $637$
Weight $2$
Character 637.547
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [637,2,Mod(92,637)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(637, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([2, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("637.92");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), 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: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 547.7
Character \(\chi\) \(=\) 637.547
Dual form 637.2.w.b.92.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.12298 - 1.40817i) q^{2} +(-2.74049 + 1.31975i) q^{3} +(-0.276823 + 1.21284i) q^{4} +(-2.53396 + 1.22029i) q^{5} +(4.93595 + 2.37703i) q^{6} +(-1.05285 + 2.42724i) q^{7} +(-1.22675 + 0.590772i) q^{8} +(3.89808 - 4.88803i) q^{9} +O(q^{10})\) \(q+(-1.12298 - 1.40817i) q^{2} +(-2.74049 + 1.31975i) q^{3} +(-0.276823 + 1.21284i) q^{4} +(-2.53396 + 1.22029i) q^{5} +(4.93595 + 2.37703i) q^{6} +(-1.05285 + 2.42724i) q^{7} +(-1.22675 + 0.590772i) q^{8} +(3.89808 - 4.88803i) q^{9} +(4.56397 + 2.19789i) q^{10} +(3.17207 + 3.97765i) q^{11} +(-0.842016 - 3.68912i) q^{12} +(0.623490 + 0.781831i) q^{13} +(4.60030 - 1.24316i) q^{14} +(5.33382 - 6.68840i) q^{15} +(4.45119 + 2.14358i) q^{16} +(1.01853 + 4.46247i) q^{17} -11.2607 q^{18} -6.08955 q^{19} +(-0.778561 - 3.41110i) q^{20} +(-0.318042 - 8.04133i) q^{21} +(2.03904 - 8.93364i) q^{22} +(-1.71384 + 7.50884i) q^{23} +(2.58223 - 3.23801i) q^{24} +(1.81441 - 2.27520i) q^{25} +(0.400787 - 1.75596i) q^{26} +(-2.20112 + 9.64374i) q^{27} +(-2.65241 - 1.94885i) q^{28} +(-0.224524 - 0.983705i) q^{29} -15.4082 q^{30} -3.95981 q^{31} +(-1.37410 - 6.02033i) q^{32} +(-13.9425 - 6.71437i) q^{33} +(5.14014 - 6.44553i) q^{34} +(-0.294074 - 7.43533i) q^{35} +(4.84933 + 6.08087i) q^{36} +(-1.78303 - 7.81196i) q^{37} +(6.83844 + 8.57513i) q^{38} +(-2.74049 - 1.31975i) q^{39} +(2.38763 - 2.99399i) q^{40} +(-1.56938 + 0.755772i) q^{41} +(-10.9664 + 9.47811i) q^{42} +(1.64536 + 0.792362i) q^{43} +(-5.70236 + 2.74611i) q^{44} +(-3.91275 + 17.1429i) q^{45} +(12.4984 - 6.01889i) q^{46} +(5.86258 + 7.35144i) q^{47} -15.0274 q^{48} +(-4.78303 - 5.11103i) q^{49} -5.24141 q^{50} +(-8.68062 - 10.8852i) q^{51} +(-1.12083 + 0.539765i) q^{52} +(-1.60188 + 7.01827i) q^{53} +(16.0519 - 7.73017i) q^{54} +(-12.8918 - 6.20837i) q^{55} +(-0.142368 - 3.59962i) q^{56} +(16.6884 - 8.03669i) q^{57} +(-1.13309 + 1.42085i) q^{58} +(-4.78645 - 2.30503i) q^{59} +(6.63544 + 8.32058i) q^{60} +(0.909421 + 3.98443i) q^{61} +(4.44678 + 5.57609i) q^{62} +(7.76038 + 14.6079i) q^{63} +(-0.773936 + 0.970485i) q^{64} +(-2.53396 - 1.22029i) q^{65} +(6.20219 + 27.1736i) q^{66} -8.62043 q^{67} -5.69422 q^{68} +(-5.21303 - 22.8398i) q^{69} +(-10.1400 + 8.76383i) q^{70} +(1.07385 - 4.70483i) q^{71} +(-1.89425 + 8.29927i) q^{72} +(0.202349 - 0.253737i) q^{73} +(-8.99828 + 11.2835i) q^{74} +(-1.96968 + 8.62972i) q^{75} +(1.68573 - 7.38565i) q^{76} +(-12.9944 + 3.51153i) q^{77} +(1.21908 + 5.34113i) q^{78} +12.6847 q^{79} -13.8949 q^{80} +(-2.52156 - 11.0477i) q^{81} +(2.82663 + 1.36123i) q^{82} +(-4.50824 + 5.65316i) q^{83} +(9.84090 + 1.84029i) q^{84} +(-8.02644 - 10.0648i) q^{85} +(-0.731920 - 3.20675i) q^{86} +(1.91355 + 2.39952i) q^{87} +(-6.24122 - 3.00561i) q^{88} +(6.12777 - 7.68398i) q^{89} +(28.5341 - 13.7413i) q^{90} +(-2.55413 + 0.690214i) q^{91} +(-8.63260 - 4.15724i) q^{92} +(10.8518 - 5.22596i) q^{93} +(3.76854 - 16.5110i) q^{94} +(15.4307 - 7.43103i) q^{95} +(11.7111 + 14.6852i) q^{96} +4.58831 q^{97} +(-1.82597 + 12.4749i) q^{98} +31.8079 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12298 1.40817i −0.794066 0.995728i −0.999853 0.0171310i \(-0.994547\pi\)
0.205787 0.978597i \(-0.434025\pi\)
\(3\) −2.74049 + 1.31975i −1.58222 + 0.761958i −0.998741 0.0501676i \(-0.984024\pi\)
−0.583482 + 0.812126i \(0.698310\pi\)
\(4\) −0.276823 + 1.21284i −0.138411 + 0.606420i
\(5\) −2.53396 + 1.22029i −1.13322 + 0.545731i −0.903953 0.427632i \(-0.859348\pi\)
−0.229270 + 0.973363i \(0.573634\pi\)
\(6\) 4.93595 + 2.37703i 2.01509 + 0.970418i
\(7\) −1.05285 + 2.42724i −0.397939 + 0.917412i
\(8\) −1.22675 + 0.590772i −0.433722 + 0.208869i
\(9\) 3.89808 4.88803i 1.29936 1.62934i
\(10\) 4.56397 + 2.19789i 1.44325 + 0.695035i
\(11\) 3.17207 + 3.97765i 0.956415 + 1.19931i 0.979881 + 0.199582i \(0.0639583\pi\)
−0.0234663 + 0.999725i \(0.507470\pi\)
\(12\) −0.842016 3.68912i −0.243069 1.06496i
\(13\) 0.623490 + 0.781831i 0.172925 + 0.216841i
\(14\) 4.60030 1.24316i 1.22948 0.332248i
\(15\) 5.33382 6.68840i 1.37719 1.72694i
\(16\) 4.45119 + 2.14358i 1.11280 + 0.535895i
\(17\) 1.01853 + 4.46247i 0.247030 + 1.08231i 0.934463 + 0.356061i \(0.115880\pi\)
−0.687433 + 0.726248i \(0.741263\pi\)
\(18\) −11.2607 −2.65416
\(19\) −6.08955 −1.39704 −0.698519 0.715591i \(-0.746157\pi\)
−0.698519 + 0.715591i \(0.746157\pi\)
\(20\) −0.778561 3.41110i −0.174092 0.762745i
\(21\) −0.318042 8.04133i −0.0694024 1.75476i
\(22\) 2.03904 8.93364i 0.434726 1.90466i
\(23\) −1.71384 + 7.50884i −0.357361 + 1.56570i 0.402378 + 0.915474i \(0.368184\pi\)
−0.759739 + 0.650228i \(0.774673\pi\)
\(24\) 2.58223 3.23801i 0.527095 0.660956i
\(25\) 1.81441 2.27520i 0.362882 0.455039i
\(26\) 0.400787 1.75596i 0.0786008 0.344372i
\(27\) −2.20112 + 9.64374i −0.423606 + 1.85594i
\(28\) −2.65241 1.94885i −0.501258 0.368298i
\(29\) −0.224524 0.983705i −0.0416931 0.182669i 0.949794 0.312877i \(-0.101293\pi\)
−0.991487 + 0.130208i \(0.958436\pi\)
\(30\) −15.4082 −2.81314
\(31\) −3.95981 −0.711203 −0.355601 0.934638i \(-0.615724\pi\)
−0.355601 + 0.934638i \(0.615724\pi\)
\(32\) −1.37410 6.02033i −0.242909 1.06425i
\(33\) −13.9425 6.71437i −2.42708 1.16882i
\(34\) 5.14014 6.44553i 0.881526 1.10540i
\(35\) −0.294074 7.43533i −0.0497075 1.25680i
\(36\) 4.84933 + 6.08087i 0.808221 + 1.01348i
\(37\) −1.78303 7.81196i −0.293128 1.28428i −0.880145 0.474704i \(-0.842555\pi\)
0.587017 0.809574i \(-0.300302\pi\)
\(38\) 6.83844 + 8.57513i 1.10934 + 1.39107i
\(39\) −2.74049 1.31975i −0.438830 0.211329i
\(40\) 2.38763 2.99399i 0.377517 0.473391i
\(41\) −1.56938 + 0.755772i −0.245095 + 0.118032i −0.552399 0.833580i \(-0.686288\pi\)
0.307304 + 0.951611i \(0.400573\pi\)
\(42\) −10.9664 + 9.47811i −1.69216 + 1.46250i
\(43\) 1.64536 + 0.792362i 0.250915 + 0.120834i 0.555114 0.831774i \(-0.312675\pi\)
−0.304199 + 0.952608i \(0.598389\pi\)
\(44\) −5.70236 + 2.74611i −0.859662 + 0.413992i
\(45\) −3.91275 + 17.1429i −0.583279 + 2.55551i
\(46\) 12.4984 6.01889i 1.84278 0.887437i
\(47\) 5.86258 + 7.35144i 0.855145 + 1.07232i 0.996602 + 0.0823733i \(0.0262500\pi\)
−0.141457 + 0.989944i \(0.545179\pi\)
\(48\) −15.0274 −2.16902
\(49\) −4.78303 5.11103i −0.683290 0.730147i
\(50\) −5.24141 −0.741247
\(51\) −8.68062 10.8852i −1.21553 1.52423i
\(52\) −1.12083 + 0.539765i −0.155432 + 0.0748519i
\(53\) −1.60188 + 7.01827i −0.220034 + 0.964034i 0.737417 + 0.675438i \(0.236045\pi\)
−0.957451 + 0.288596i \(0.906812\pi\)
\(54\) 16.0519 7.73017i 2.18438 1.05194i
\(55\) −12.8918 6.20837i −1.73833 0.837136i
\(56\) −0.142368 3.59962i −0.0190247 0.481019i
\(57\) 16.6884 8.03669i 2.21043 1.06449i
\(58\) −1.13309 + 1.42085i −0.148782 + 0.186567i
\(59\) −4.78645 2.30503i −0.623142 0.300090i 0.0955426 0.995425i \(-0.469541\pi\)
−0.718685 + 0.695336i \(0.755256\pi\)
\(60\) 6.63544 + 8.32058i 0.856631 + 1.07418i
\(61\) 0.909421 + 3.98443i 0.116439 + 0.510154i 0.999187 + 0.0403074i \(0.0128337\pi\)
−0.882748 + 0.469847i \(0.844309\pi\)
\(62\) 4.44678 + 5.57609i 0.564742 + 0.708164i
\(63\) 7.76038 + 14.6079i 0.977715 + 1.84043i
\(64\) −0.773936 + 0.970485i −0.0967420 + 0.121311i
\(65\) −2.53396 1.22029i −0.314299 0.151359i
\(66\) 6.20219 + 27.1736i 0.763437 + 3.34484i
\(67\) −8.62043 −1.05315 −0.526577 0.850128i \(-0.676525\pi\)
−0.526577 + 0.850128i \(0.676525\pi\)
\(68\) −5.69422 −0.690525
\(69\) −5.21303 22.8398i −0.627574 2.74958i
\(70\) −10.1400 + 8.76383i −1.21196 + 1.04748i
\(71\) 1.07385 4.70483i 0.127442 0.558360i −0.870379 0.492382i \(-0.836126\pi\)
0.997821 0.0659779i \(-0.0210167\pi\)
\(72\) −1.89425 + 8.29927i −0.223240 + 0.978079i
\(73\) 0.202349 0.253737i 0.0236831 0.0296977i −0.769849 0.638226i \(-0.779668\pi\)
0.793532 + 0.608528i \(0.208240\pi\)
\(74\) −8.99828 + 11.2835i −1.04603 + 1.31168i
\(75\) −1.96968 + 8.62972i −0.227439 + 0.996474i
\(76\) 1.68573 7.38565i 0.193366 0.847192i
\(77\) −12.9944 + 3.51153i −1.48085 + 0.400176i
\(78\) 1.21908 + 5.34113i 0.138034 + 0.604764i
\(79\) 12.6847 1.42714 0.713568 0.700586i \(-0.247078\pi\)
0.713568 + 0.700586i \(0.247078\pi\)
\(80\) −13.8949 −1.55350
\(81\) −2.52156 11.0477i −0.280173 1.22752i
\(82\) 2.82663 + 1.36123i 0.312149 + 0.150323i
\(83\) −4.50824 + 5.65316i −0.494844 + 0.620515i −0.965058 0.262038i \(-0.915605\pi\)
0.470213 + 0.882553i \(0.344177\pi\)
\(84\) 9.84090 + 1.84029i 1.07373 + 0.200792i
\(85\) −8.02644 10.0648i −0.870589 1.09168i
\(86\) −0.731920 3.20675i −0.0789250 0.345793i
\(87\) 1.91355 + 2.39952i 0.205154 + 0.257255i
\(88\) −6.24122 3.00561i −0.665316 0.320400i
\(89\) 6.12777 7.68398i 0.649542 0.814500i −0.342618 0.939475i \(-0.611314\pi\)
0.992160 + 0.124975i \(0.0398850\pi\)
\(90\) 28.5341 13.7413i 3.00776 1.44846i
\(91\) −2.55413 + 0.690214i −0.267746 + 0.0723540i
\(92\) −8.63260 4.15724i −0.900010 0.433422i
\(93\) 10.8518 5.22596i 1.12528 0.541907i
\(94\) 3.76854 16.5110i 0.388695 1.70298i
\(95\) 15.4307 7.43103i 1.58316 0.762408i
\(96\) 11.7111 + 14.6852i 1.19525 + 1.49880i
\(97\) 4.58831 0.465873 0.232936 0.972492i \(-0.425167\pi\)
0.232936 + 0.972492i \(0.425167\pi\)
\(98\) −1.82597 + 12.4749i −0.184450 + 1.26016i
\(99\) 31.8079 3.19681
\(100\) 2.25718 + 2.83041i 0.225718 + 0.283041i
\(101\) −6.02431 + 2.90115i −0.599441 + 0.288676i −0.708892 0.705317i \(-0.750805\pi\)
0.109451 + 0.993992i \(0.465091\pi\)
\(102\) −5.58001 + 24.4476i −0.552503 + 2.42067i
\(103\) 9.23015 4.44501i 0.909474 0.437979i 0.0801722 0.996781i \(-0.474453\pi\)
0.829301 + 0.558802i \(0.188739\pi\)
\(104\) −1.22675 0.590772i −0.120293 0.0579300i
\(105\) 10.6187 + 19.9883i 1.03628 + 1.95066i
\(106\) 11.6818 5.62566i 1.13464 0.546413i
\(107\) 3.80884 4.77614i 0.368215 0.461727i −0.562862 0.826551i \(-0.690300\pi\)
0.931076 + 0.364824i \(0.118871\pi\)
\(108\) −11.0870 5.33922i −1.06685 0.513766i
\(109\) 3.40615 + 4.27118i 0.326250 + 0.409105i 0.917723 0.397220i \(-0.130025\pi\)
−0.591473 + 0.806324i \(0.701454\pi\)
\(110\) 5.73479 + 25.1257i 0.546790 + 2.39565i
\(111\) 15.1962 + 19.0555i 1.44236 + 1.80866i
\(112\) −9.88941 + 8.54727i −0.934462 + 0.807641i
\(113\) 3.57343 4.48095i 0.336160 0.421532i −0.584806 0.811173i \(-0.698830\pi\)
0.920967 + 0.389641i \(0.127401\pi\)
\(114\) −30.0577 14.4750i −2.81516 1.35571i
\(115\) −4.82016 21.1185i −0.449483 1.96931i
\(116\) 1.25523 0.116545
\(117\) 6.25203 0.578000
\(118\) 2.12920 + 9.32864i 0.196009 + 0.858771i
\(119\) −11.9039 2.22608i −1.09123 0.204064i
\(120\) −2.59195 + 11.3561i −0.236611 + 1.03666i
\(121\) −3.31194 + 14.5106i −0.301085 + 1.31914i
\(122\) 4.58950 5.75506i 0.415514 0.521038i
\(123\) 3.30343 4.14237i 0.297860 0.373505i
\(124\) 1.09617 4.80262i 0.0984386 0.431288i
\(125\) 1.30795 5.73049i 0.116986 0.512551i
\(126\) 11.8557 27.3324i 1.05619 2.43496i
\(127\) −3.51267 15.3900i −0.311699 1.36564i −0.851723 0.523992i \(-0.824442\pi\)
0.540024 0.841649i \(-0.318415\pi\)
\(128\) −10.1146 −0.894012
\(129\) −5.55480 −0.489073
\(130\) 1.12721 + 4.93862i 0.0988627 + 0.433146i
\(131\) 17.2757 + 8.31953i 1.50938 + 0.726880i 0.991686 0.128684i \(-0.0410753\pi\)
0.517697 + 0.855564i \(0.326790\pi\)
\(132\) 12.0031 15.0514i 1.04473 1.31005i
\(133\) 6.41136 14.7808i 0.555935 1.28166i
\(134\) 9.68057 + 12.1390i 0.836273 + 1.04865i
\(135\) −6.19062 27.1229i −0.532804 2.33437i
\(136\) −3.88579 4.87262i −0.333203 0.417824i
\(137\) −7.61374 3.66659i −0.650486 0.313258i 0.0793833 0.996844i \(-0.474705\pi\)
−0.729869 + 0.683587i \(0.760419\pi\)
\(138\) −26.3082 + 32.9894i −2.23950 + 2.80825i
\(139\) −10.2973 + 4.95890i −0.873403 + 0.420609i −0.816210 0.577755i \(-0.803929\pi\)
−0.0571921 + 0.998363i \(0.518215\pi\)
\(140\) 9.09927 + 1.70161i 0.769029 + 0.143812i
\(141\) −25.7684 12.4094i −2.17009 1.04506i
\(142\) −7.83111 + 3.77127i −0.657172 + 0.316478i
\(143\) −1.13210 + 4.96005i −0.0946708 + 0.414780i
\(144\) 27.8290 13.4017i 2.31908 1.11681i
\(145\) 1.76934 + 2.21869i 0.146936 + 0.184252i
\(146\) −0.584540 −0.0483768
\(147\) 19.8531 + 7.69432i 1.63746 + 0.634617i
\(148\) 9.96825 0.819385
\(149\) −4.63005 5.80590i −0.379309 0.475638i 0.555129 0.831764i \(-0.312669\pi\)
−0.934438 + 0.356126i \(0.884097\pi\)
\(150\) 14.3640 6.91735i 1.17282 0.564800i
\(151\) −1.00745 + 4.41393i −0.0819853 + 0.359201i −0.999235 0.0391121i \(-0.987547\pi\)
0.917250 + 0.398313i \(0.130404\pi\)
\(152\) 7.47036 3.59754i 0.605926 0.291799i
\(153\) 25.7830 + 12.4164i 2.08443 + 1.00381i
\(154\) 19.5373 + 14.3550i 1.57436 + 1.15676i
\(155\) 10.0340 4.83213i 0.805951 0.388126i
\(156\) 2.35928 2.95844i 0.188893 0.236865i
\(157\) −6.53778 3.14843i −0.521771 0.251272i 0.154410 0.988007i \(-0.450652\pi\)
−0.676182 + 0.736735i \(0.736367\pi\)
\(158\) −14.2446 17.8622i −1.13324 1.42104i
\(159\) −4.87245 21.3476i −0.386410 1.69297i
\(160\) 10.8285 + 13.5785i 0.856067 + 1.07347i
\(161\) −16.4214 12.0656i −1.29419 0.950901i
\(162\) −12.7254 + 15.9571i −0.999799 + 1.25371i
\(163\) −0.741385 0.357032i −0.0580698 0.0279649i 0.404624 0.914483i \(-0.367403\pi\)
−0.462693 + 0.886518i \(0.653117\pi\)
\(164\) −0.482191 2.11262i −0.0376528 0.164968i
\(165\) 43.5234 3.38829
\(166\) 13.0233 1.01080
\(167\) −0.0328428 0.143894i −0.00254145 0.0111348i 0.973641 0.228085i \(-0.0732463\pi\)
−0.976183 + 0.216950i \(0.930389\pi\)
\(168\) 5.14075 + 9.67682i 0.396618 + 0.746583i
\(169\) −0.222521 + 0.974928i −0.0171170 + 0.0749945i
\(170\) −5.15949 + 22.6052i −0.395715 + 1.73374i
\(171\) −23.7375 + 29.7659i −1.81525 + 2.27626i
\(172\) −1.41648 + 1.77621i −0.108006 + 0.135435i
\(173\) 4.97135 21.7809i 0.377965 1.65597i −0.325726 0.945464i \(-0.605609\pi\)
0.703690 0.710507i \(-0.251534\pi\)
\(174\) 1.23005 5.38922i 0.0932502 0.408556i
\(175\) 3.61216 + 6.79944i 0.273054 + 0.513990i
\(176\) 5.59307 + 24.5049i 0.421594 + 1.84712i
\(177\) 16.1593 1.21461
\(178\) −17.7017 −1.32680
\(179\) 4.42315 + 19.3791i 0.330602 + 1.44846i 0.817968 + 0.575263i \(0.195100\pi\)
−0.487366 + 0.873198i \(0.662042\pi\)
\(180\) −19.7085 9.49109i −1.46898 0.707424i
\(181\) 8.88106 11.1365i 0.660124 0.827770i −0.333233 0.942845i \(-0.608139\pi\)
0.993357 + 0.115075i \(0.0367108\pi\)
\(182\) 3.84018 + 2.82157i 0.284653 + 0.209148i
\(183\) −7.75072 9.71909i −0.572949 0.718456i
\(184\) −2.33355 10.2240i −0.172032 0.753721i
\(185\) 14.0510 + 17.6194i 1.03305 + 1.29540i
\(186\) −19.5454 9.41258i −1.43314 0.690164i
\(187\) −14.5193 + 18.2066i −1.06176 + 1.33140i
\(188\) −10.5390 + 5.07532i −0.768637 + 0.370156i
\(189\) −21.0903 15.4960i −1.53409 1.12717i
\(190\) −27.7925 13.3842i −2.01628 0.970990i
\(191\) −13.1500 + 6.33269i −0.951499 + 0.458218i −0.844211 0.536011i \(-0.819931\pi\)
−0.107287 + 0.994228i \(0.534216\pi\)
\(192\) 0.840166 3.68101i 0.0606338 0.265654i
\(193\) −6.27660 + 3.02265i −0.451800 + 0.217575i −0.645924 0.763402i \(-0.723528\pi\)
0.194124 + 0.980977i \(0.437813\pi\)
\(194\) −5.15258 6.46113i −0.369934 0.463882i
\(195\) 8.55478 0.612621
\(196\) 7.52292 4.38620i 0.537351 0.313300i
\(197\) −17.8238 −1.26989 −0.634947 0.772556i \(-0.718978\pi\)
−0.634947 + 0.772556i \(0.718978\pi\)
\(198\) −35.7196 44.7909i −2.53848 3.18315i
\(199\) 20.6839 9.96086i 1.46624 0.706106i 0.480915 0.876767i \(-0.340305\pi\)
0.985330 + 0.170661i \(0.0545902\pi\)
\(200\) −0.881704 + 3.86300i −0.0623459 + 0.273155i
\(201\) 23.6242 11.3768i 1.66632 0.802459i
\(202\) 10.8505 + 5.22532i 0.763438 + 0.367653i
\(203\) 2.62408 + 0.490715i 0.184174 + 0.0344415i
\(204\) 15.6049 7.51495i 1.09257 0.526152i
\(205\) 3.05448 3.83020i 0.213334 0.267512i
\(206\) −16.6246 8.00598i −1.15829 0.557803i
\(207\) 30.0228 + 37.6474i 2.08673 + 2.61667i
\(208\) 1.09935 + 4.81658i 0.0762264 + 0.333970i
\(209\) −19.3165 24.2221i −1.33615 1.67548i
\(210\) 16.2225 37.3994i 1.11946 2.58081i
\(211\) −8.16076 + 10.2333i −0.561810 + 0.704487i −0.978891 0.204382i \(-0.934481\pi\)
0.417082 + 0.908869i \(0.363053\pi\)
\(212\) −8.06861 3.88564i −0.554154 0.266867i
\(213\) 3.26633 + 14.3107i 0.223806 + 0.980556i
\(214\) −11.0029 −0.752141
\(215\) −5.13619 −0.350285
\(216\) −2.99703 13.1308i −0.203922 0.893440i
\(217\) 4.16907 9.61142i 0.283015 0.652466i
\(218\) 2.18951 9.59289i 0.148293 0.649712i
\(219\) −0.219665 + 0.962415i −0.0148436 + 0.0650340i
\(220\) 11.0985 13.9171i 0.748261 0.938290i
\(221\) −2.85386 + 3.57862i −0.191971 + 0.240724i
\(222\) 9.76831 42.7978i 0.655606 2.87240i
\(223\) −2.93151 + 12.8438i −0.196308 + 0.860083i 0.776802 + 0.629745i \(0.216840\pi\)
−0.973111 + 0.230338i \(0.926017\pi\)
\(224\) 16.0595 + 3.00321i 1.07302 + 0.200660i
\(225\) −4.04853 17.7378i −0.269902 1.18252i
\(226\) −10.3228 −0.686665
\(227\) −9.59818 −0.637053 −0.318527 0.947914i \(-0.603188\pi\)
−0.318527 + 0.947914i \(0.603188\pi\)
\(228\) 5.12750 + 22.4651i 0.339577 + 1.48778i
\(229\) 14.3777 + 6.92392i 0.950103 + 0.457545i 0.843722 0.536780i \(-0.180360\pi\)
0.106380 + 0.994325i \(0.466074\pi\)
\(230\) −24.3256 + 30.5033i −1.60398 + 2.01133i
\(231\) 30.9768 26.7727i 2.03812 1.76152i
\(232\) 0.856581 + 1.07412i 0.0562373 + 0.0705193i
\(233\) 2.64718 + 11.5981i 0.173423 + 0.759815i 0.984573 + 0.174976i \(0.0559849\pi\)
−0.811150 + 0.584838i \(0.801158\pi\)
\(234\) −7.02090 8.80393i −0.458971 0.575531i
\(235\) −23.8265 11.4742i −1.55427 0.748496i
\(236\) 4.12063 5.16711i 0.268230 0.336350i
\(237\) −34.7622 + 16.7406i −2.25805 + 1.08742i
\(238\) 10.2331 + 19.2625i 0.663313 + 1.24860i
\(239\) 25.7395 + 12.3955i 1.66495 + 0.801796i 0.998413 + 0.0563216i \(0.0179372\pi\)
0.666534 + 0.745475i \(0.267777\pi\)
\(240\) 38.0790 18.3379i 2.45799 1.18370i
\(241\) −1.07796 + 4.72287i −0.0694378 + 0.304227i −0.997707 0.0676824i \(-0.978440\pi\)
0.928269 + 0.371909i \(0.121297\pi\)
\(242\) 24.1526 11.6313i 1.55259 0.747687i
\(243\) 2.98828 + 3.74718i 0.191698 + 0.240382i
\(244\) −5.08423 −0.325484
\(245\) 18.3570 + 7.11447i 1.17278 + 0.454527i
\(246\) −9.54285 −0.608430
\(247\) −3.79677 4.76100i −0.241583 0.302935i
\(248\) 4.85770 2.33934i 0.308464 0.148549i
\(249\) 4.89404 21.4422i 0.310147 1.35884i
\(250\) −9.53831 + 4.59341i −0.603256 + 0.290513i
\(251\) −18.3833 8.85294i −1.16035 0.558793i −0.248220 0.968704i \(-0.579845\pi\)
−0.912126 + 0.409911i \(0.865560\pi\)
\(252\) −19.8653 + 5.36829i −1.25140 + 0.338170i
\(253\) −35.3040 + 17.0015i −2.21954 + 1.06887i
\(254\) −17.7271 + 22.2291i −1.11230 + 1.39478i
\(255\) 35.2794 + 16.9897i 2.20928 + 1.06394i
\(256\) 12.9063 + 16.1841i 0.806647 + 1.01150i
\(257\) 4.17791 + 18.3046i 0.260611 + 1.14181i 0.920591 + 0.390527i \(0.127707\pi\)
−0.659981 + 0.751283i \(0.729436\pi\)
\(258\) 6.23793 + 7.82212i 0.388357 + 0.486984i
\(259\) 20.8388 + 3.89695i 1.29486 + 0.242145i
\(260\) 2.18148 2.73549i 0.135290 0.169648i
\(261\) −5.68360 2.73708i −0.351806 0.169421i
\(262\) −7.68491 33.6698i −0.474775 2.08013i
\(263\) 32.0072 1.97365 0.986824 0.161797i \(-0.0517289\pi\)
0.986824 + 0.161797i \(0.0517289\pi\)
\(264\) 21.0707 1.29681
\(265\) −4.50525 19.7388i −0.276755 1.21255i
\(266\) −28.0138 + 7.57027i −1.71763 + 0.464163i
\(267\) −6.65216 + 29.1450i −0.407105 + 1.78364i
\(268\) 2.38633 10.4552i 0.145768 0.638653i
\(269\) −5.70492 + 7.15374i −0.347835 + 0.436171i −0.924716 0.380657i \(-0.875698\pi\)
0.576882 + 0.816828i \(0.304269\pi\)
\(270\) −31.2418 + 39.1759i −1.90131 + 2.38417i
\(271\) −1.65120 + 7.23436i −0.100303 + 0.439456i 0.899693 + 0.436524i \(0.143791\pi\)
−0.999996 + 0.00293224i \(0.999067\pi\)
\(272\) −5.03199 + 22.0466i −0.305110 + 1.33677i
\(273\) 6.08867 5.26234i 0.368503 0.318492i
\(274\) 3.38690 + 14.8390i 0.204610 + 0.896454i
\(275\) 14.8054 0.892797
\(276\) 29.1441 1.75427
\(277\) −6.47512 28.3694i −0.389052 1.70455i −0.667931 0.744223i \(-0.732820\pi\)
0.278878 0.960326i \(-0.410037\pi\)
\(278\) 18.5466 + 8.93157i 1.11235 + 0.535680i
\(279\) −15.4356 + 19.3557i −0.924108 + 1.15879i
\(280\) 4.75334 + 8.94756i 0.284066 + 0.534719i
\(281\) −5.95708 7.46995i −0.355370 0.445620i 0.571726 0.820445i \(-0.306274\pi\)
−0.927096 + 0.374825i \(0.877703\pi\)
\(282\) 11.4628 + 50.2219i 0.682601 + 2.99067i
\(283\) −4.90424 6.14972i −0.291527 0.365563i 0.614402 0.788993i \(-0.289397\pi\)
−0.905929 + 0.423430i \(0.860826\pi\)
\(284\) 5.40894 + 2.60481i 0.320962 + 0.154567i
\(285\) −32.4806 + 40.7293i −1.92398 + 2.41260i
\(286\) 8.25592 3.97584i 0.488183 0.235097i
\(287\) −0.182131 4.60497i −0.0107508 0.271823i
\(288\) −34.7839 16.7511i −2.04966 0.987066i
\(289\) −3.55977 + 1.71430i −0.209398 + 0.100841i
\(290\) 1.13736 4.98308i 0.0667878 0.292617i
\(291\) −12.5742 + 6.05543i −0.737114 + 0.354976i
\(292\) 0.251728 + 0.315657i 0.0147313 + 0.0184724i
\(293\) −29.4158 −1.71849 −0.859245 0.511565i \(-0.829066\pi\)
−0.859245 + 0.511565i \(0.829066\pi\)
\(294\) −11.4597 36.5972i −0.668345 2.13439i
\(295\) 14.9415 0.869928
\(296\) 6.80242 + 8.52997i 0.395383 + 0.495794i
\(297\) −45.3415 + 21.8353i −2.63098 + 1.26701i
\(298\) −2.97625 + 13.0398i −0.172410 + 0.755376i
\(299\) −6.93921 + 3.34175i −0.401305 + 0.193258i
\(300\) −9.92122 4.77781i −0.572802 0.275847i
\(301\) −3.65556 + 3.15945i −0.210703 + 0.182107i
\(302\) 7.34693 3.53809i 0.422768 0.203594i
\(303\) 12.6808 15.9012i 0.728491 0.913498i
\(304\) −27.1057 13.0534i −1.55462 0.748666i
\(305\) −7.16661 8.98665i −0.410359 0.514574i
\(306\) −11.4693 50.2503i −0.655657 2.87262i
\(307\) 6.43011 + 8.06310i 0.366986 + 0.460186i 0.930700 0.365785i \(-0.119199\pi\)
−0.563714 + 0.825970i \(0.690628\pi\)
\(308\) −0.661775 16.7322i −0.0377081 0.953408i
\(309\) −19.4288 + 24.3630i −1.10527 + 1.38596i
\(310\) −18.0725 8.70323i −1.02645 0.494311i
\(311\) −3.26773 14.3168i −0.185296 0.811833i −0.979054 0.203600i \(-0.934736\pi\)
0.793758 0.608233i \(-0.208121\pi\)
\(312\) 4.14157 0.234470
\(313\) −18.3587 −1.03770 −0.518848 0.854867i \(-0.673639\pi\)
−0.518848 + 0.854867i \(0.673639\pi\)
\(314\) 2.90826 + 12.7419i 0.164123 + 0.719069i
\(315\) −37.4905 27.5460i −2.11235 1.55204i
\(316\) −3.51140 + 15.3845i −0.197532 + 0.865444i
\(317\) −5.61189 + 24.5873i −0.315195 + 1.38096i 0.530677 + 0.847574i \(0.321938\pi\)
−0.845872 + 0.533386i \(0.820919\pi\)
\(318\) −24.5894 + 30.8341i −1.37891 + 1.72909i
\(319\) 3.20063 4.01346i 0.179201 0.224711i
\(320\) 0.776850 3.40360i 0.0434272 0.190267i
\(321\) −4.13479 + 18.1157i −0.230781 + 1.01112i
\(322\) 1.45047 + 36.6735i 0.0808315 + 2.04374i
\(323\) −6.20239 27.1744i −0.345110 1.51203i
\(324\) 14.0971 0.783172
\(325\) 2.91008 0.161422
\(326\) 0.329797 + 1.44494i 0.0182658 + 0.0800277i
\(327\) −14.9714 7.20985i −0.827921 0.398706i
\(328\) 1.47874 1.85429i 0.0816500 0.102386i
\(329\) −24.0161 + 6.48997i −1.32405 + 0.357804i
\(330\) −48.8758 61.2884i −2.69053 3.37381i
\(331\) 2.96484 + 12.9898i 0.162962 + 0.713984i 0.988697 + 0.149926i \(0.0479036\pi\)
−0.825735 + 0.564058i \(0.809239\pi\)
\(332\) −5.60840 7.03271i −0.307801 0.385970i
\(333\) −45.1355 21.7361i −2.47341 1.19113i
\(334\) −0.165745 + 0.207838i −0.00906918 + 0.0113724i
\(335\) 21.8439 10.5194i 1.19346 0.574739i
\(336\) 15.8216 36.4753i 0.863138 1.98989i
\(337\) 29.5100 + 14.2113i 1.60751 + 0.774136i 0.999800 0.0200221i \(-0.00637365\pi\)
0.607711 + 0.794158i \(0.292088\pi\)
\(338\) 1.62275 0.781476i 0.0882661 0.0425067i
\(339\) −3.87923 + 16.9960i −0.210691 + 0.923098i
\(340\) 14.4289 6.94861i 0.782519 0.376841i
\(341\) −12.5608 15.7507i −0.680205 0.852950i
\(342\) 68.5723 3.70797
\(343\) 17.4415 6.22845i 0.941753 0.336305i
\(344\) −2.48655 −0.134066
\(345\) 41.0808 + 51.5137i 2.21172 + 2.77340i
\(346\) −36.2540 + 17.4590i −1.94903 + 0.938601i
\(347\) −1.87342 + 8.20801i −0.100571 + 0.440629i 0.899423 + 0.437079i \(0.143987\pi\)
−0.999994 + 0.00354973i \(0.998870\pi\)
\(348\) −3.43995 + 1.65659i −0.184401 + 0.0888026i
\(349\) 30.3911 + 14.6356i 1.62680 + 0.783425i 0.999991 + 0.00425176i \(0.00135338\pi\)
0.626808 + 0.779173i \(0.284361\pi\)
\(350\) 5.51840 12.7222i 0.294971 0.680029i
\(351\) −8.91216 + 4.29187i −0.475696 + 0.229083i
\(352\) 19.5880 24.5626i 1.04405 1.30919i
\(353\) −2.75133 1.32497i −0.146439 0.0705212i 0.359229 0.933249i \(-0.383040\pi\)
−0.505668 + 0.862728i \(0.668754\pi\)
\(354\) −18.1465 22.7550i −0.964478 1.20942i
\(355\) 3.02018 + 13.2323i 0.160294 + 0.702296i
\(356\) 7.62313 + 9.55911i 0.404025 + 0.506632i
\(357\) 35.5603 9.60959i 1.88205 0.508593i
\(358\) 22.3220 27.9909i 1.17975 1.47936i
\(359\) 6.19226 + 2.98204i 0.326815 + 0.157386i 0.590095 0.807334i \(-0.299090\pi\)
−0.263280 + 0.964719i \(0.584804\pi\)
\(360\) −5.32757 23.3416i −0.280787 1.23021i
\(361\) 18.0826 0.951717
\(362\) −25.6554 −1.34842
\(363\) −10.0740 44.1370i −0.528746 2.31659i
\(364\) −0.130076 3.28883i −0.00681783 0.172381i
\(365\) −0.203111 + 0.889886i −0.0106313 + 0.0465788i
\(366\) −4.98225 + 21.8287i −0.260427 + 1.14100i
\(367\) 12.7495 15.9874i 0.665519 0.834534i −0.328413 0.944534i \(-0.606514\pi\)
0.993932 + 0.110000i \(0.0350851\pi\)
\(368\) −23.7245 + 29.7495i −1.23672 + 1.55080i
\(369\) −2.42331 + 10.6172i −0.126153 + 0.552710i
\(370\) 9.03216 39.5725i 0.469560 2.05727i
\(371\) −15.3485 11.2773i −0.796856 0.585489i
\(372\) 3.33422 + 14.6082i 0.172871 + 0.757399i
\(373\) −7.04532 −0.364793 −0.182396 0.983225i \(-0.558385\pi\)
−0.182396 + 0.983225i \(0.558385\pi\)
\(374\) 41.9429 2.16882
\(375\) 3.97840 + 17.4305i 0.205444 + 0.900108i
\(376\) −11.5349 5.55494i −0.594869 0.286474i
\(377\) 0.629103 0.788870i 0.0324005 0.0406289i
\(378\) 1.86286 + 47.1005i 0.0958154 + 2.42259i
\(379\) 4.73848 + 5.94187i 0.243399 + 0.305213i 0.888493 0.458891i \(-0.151753\pi\)
−0.645093 + 0.764104i \(0.723182\pi\)
\(380\) 4.74109 + 20.7721i 0.243213 + 1.06558i
\(381\) 29.9374 + 37.5403i 1.53374 + 1.92325i
\(382\) 23.6847 + 11.4059i 1.21181 + 0.583578i
\(383\) 0.845365 1.06005i 0.0431961 0.0541663i −0.759764 0.650199i \(-0.774686\pi\)
0.802960 + 0.596032i \(0.203257\pi\)
\(384\) 27.7189 13.3487i 1.41453 0.681200i
\(385\) 28.6423 24.7551i 1.45975 1.26164i
\(386\) 11.3049 + 5.44416i 0.575405 + 0.277100i
\(387\) 10.2868 4.95387i 0.522908 0.251819i
\(388\) −1.27015 + 5.56489i −0.0644821 + 0.282515i
\(389\) −27.3983 + 13.1943i −1.38915 + 0.668978i −0.970929 0.239368i \(-0.923060\pi\)
−0.418219 + 0.908346i \(0.637345\pi\)
\(390\) −9.60685 12.0466i −0.486462 0.610004i
\(391\) −35.2536 −1.78285
\(392\) 8.88704 + 3.44428i 0.448863 + 0.173962i
\(393\) −58.3235 −2.94203
\(394\) 20.0158 + 25.0990i 1.00838 + 1.26447i
\(395\) −32.1424 + 15.4790i −1.61726 + 0.778832i
\(396\) −8.80514 + 38.5779i −0.442475 + 1.93861i
\(397\) 35.1826 16.9430i 1.76576 0.850346i 0.796378 0.604800i \(-0.206747\pi\)
0.969385 0.245547i \(-0.0789674\pi\)
\(398\) −37.2542 17.9407i −1.86739 0.899286i
\(399\) 1.93673 + 48.9681i 0.0969578 + 2.45147i
\(400\) 12.9533 6.23800i 0.647667 0.311900i
\(401\) 8.52935 10.6955i 0.425935 0.534106i −0.521841 0.853043i \(-0.674754\pi\)
0.947776 + 0.318937i \(0.103326\pi\)
\(402\) −42.5500 20.4910i −2.12220 1.02200i
\(403\) −2.46890 3.09590i −0.122985 0.154218i
\(404\) −1.85097 8.10963i −0.0920892 0.403469i
\(405\) 19.8709 + 24.9174i 0.987395 + 1.23815i
\(406\) −2.25578 4.24622i −0.111952 0.210736i
\(407\) 25.4174 31.8724i 1.25989 1.57985i
\(408\) 17.0796 + 8.22510i 0.845566 + 0.407203i
\(409\) −2.18546 9.57512i −0.108064 0.473459i −0.999782 0.0208682i \(-0.993357\pi\)
0.891718 0.452591i \(-0.149500\pi\)
\(410\) −8.82369 −0.435771
\(411\) 25.7044 1.26790
\(412\) 2.83597 + 12.4252i 0.139718 + 0.612145i
\(413\) 10.6343 9.19103i 0.523278 0.452261i
\(414\) 19.2990 84.5545i 0.948494 4.15562i
\(415\) 4.52522 19.8263i 0.222134 0.973234i
\(416\) 3.85015 4.82793i 0.188769 0.236709i
\(417\) 21.6750 27.1796i 1.06143 1.33099i
\(418\) −12.4169 + 54.4018i −0.607329 + 2.66088i
\(419\) 5.04081 22.0852i 0.246260 1.07893i −0.688942 0.724817i \(-0.741924\pi\)
0.935201 0.354117i \(-0.115218\pi\)
\(420\) −27.1822 + 7.34554i −1.32635 + 0.358426i
\(421\) −3.82952 16.7782i −0.186640 0.817721i −0.978372 0.206853i \(-0.933678\pi\)
0.791732 0.610868i \(-0.209179\pi\)
\(422\) 23.5746 1.14759
\(423\) 58.7869 2.85832
\(424\) −2.18110 9.55601i −0.105923 0.464081i
\(425\) 12.0010 + 5.77939i 0.582135 + 0.280342i
\(426\) 16.4840 20.6702i 0.798651 1.00148i
\(427\) −10.6287 1.98761i −0.514357 0.0961871i
\(428\) 4.73832 + 5.94166i 0.229035 + 0.287201i
\(429\) −3.44352 15.0870i −0.166255 0.728410i
\(430\) 5.76783 + 7.23263i 0.278150 + 0.348789i
\(431\) −29.5837 14.2468i −1.42500 0.686242i −0.446937 0.894565i \(-0.647485\pi\)
−0.978060 + 0.208323i \(0.933199\pi\)
\(432\) −30.4697 + 38.2078i −1.46598 + 1.83828i
\(433\) −17.3368 + 8.34896i −0.833153 + 0.401225i −0.801297 0.598267i \(-0.795856\pi\)
−0.0318563 + 0.999492i \(0.510142\pi\)
\(434\) −18.2163 + 4.92266i −0.874411 + 0.236295i
\(435\) −7.77699 3.74520i −0.372878 0.179569i
\(436\) −6.12316 + 2.94876i −0.293246 + 0.141220i
\(437\) 10.4365 45.7255i 0.499247 2.18735i
\(438\) 1.60193 0.771447i 0.0765430 0.0368611i
\(439\) −2.61341 3.27711i −0.124731 0.156408i 0.715545 0.698567i \(-0.246179\pi\)
−0.840276 + 0.542159i \(0.817607\pi\)
\(440\) 19.4828 0.928804
\(441\) −43.6275 + 3.45642i −2.07750 + 0.164591i
\(442\) 8.24414 0.392134
\(443\) −6.09157 7.63859i −0.289419 0.362920i 0.615772 0.787924i \(-0.288844\pi\)
−0.905191 + 0.425004i \(0.860273\pi\)
\(444\) −27.3179 + 13.1556i −1.29645 + 0.624337i
\(445\) −6.15084 + 26.9486i −0.291578 + 1.27749i
\(446\) 21.3783 10.2952i 1.01229 0.487493i
\(447\) 20.3510 + 9.80050i 0.962567 + 0.463548i
\(448\) −1.54077 2.90030i −0.0727945 0.137026i
\(449\) −1.48910 + 0.717112i −0.0702749 + 0.0338426i −0.468691 0.883362i \(-0.655274\pi\)
0.398416 + 0.917205i \(0.369560\pi\)
\(450\) −20.4314 + 25.6202i −0.963146 + 1.20775i
\(451\) −7.98436 3.84507i −0.375969 0.181057i
\(452\) 4.44546 + 5.57443i 0.209097 + 0.262199i
\(453\) −3.06438 13.4259i −0.143977 0.630805i
\(454\) 10.7786 + 13.5159i 0.505863 + 0.634332i
\(455\) 5.62982 4.86577i 0.263930 0.228111i
\(456\) −15.7246 + 19.7180i −0.736372 + 0.923381i
\(457\) −12.4699 6.00516i −0.583315 0.280910i 0.118863 0.992911i \(-0.462075\pi\)
−0.702179 + 0.712001i \(0.747789\pi\)
\(458\) −6.39576 28.0216i −0.298854 1.30936i
\(459\) −45.2768 −2.11334
\(460\) 26.9477 1.25644
\(461\) −5.72917 25.1012i −0.266834 1.16908i −0.913673 0.406450i \(-0.866766\pi\)
0.646839 0.762627i \(-0.276091\pi\)
\(462\) −72.4869 13.5554i −3.37239 0.630653i
\(463\) −2.70562 + 11.8541i −0.125741 + 0.550907i 0.872335 + 0.488908i \(0.162605\pi\)
−0.998076 + 0.0619989i \(0.980252\pi\)
\(464\) 1.10925 4.85995i 0.0514957 0.225617i
\(465\) −21.1209 + 26.4848i −0.979459 + 1.22820i
\(466\) 13.3593 16.7521i 0.618860 0.776025i
\(467\) 5.30712 23.2520i 0.245584 1.07597i −0.690260 0.723561i \(-0.742504\pi\)
0.935844 0.352413i \(-0.114639\pi\)
\(468\) −1.73071 + 7.58271i −0.0800019 + 0.350511i
\(469\) 9.07599 20.9239i 0.419090 0.966175i
\(470\) 10.5990 + 46.4371i 0.488894 + 2.14198i
\(471\) 22.0719 1.01702
\(472\) 7.23353 0.332950
\(473\) 2.06745 + 9.05808i 0.0950613 + 0.416491i
\(474\) 62.6108 + 30.1518i 2.87581 + 1.38492i
\(475\) −11.0489 + 13.8549i −0.506960 + 0.635707i
\(476\) 5.99514 13.8213i 0.274787 0.633496i
\(477\) 28.0613 + 35.1878i 1.28484 + 1.61114i
\(478\) −11.4499 50.1654i −0.523708 2.29451i
\(479\) 20.4241 + 25.6110i 0.933202 + 1.17020i 0.985175 + 0.171550i \(0.0548774\pi\)
−0.0519737 + 0.998648i \(0.516551\pi\)
\(480\) −47.5956 22.9208i −2.17243 1.04619i
\(481\) 4.99594 6.26471i 0.227795 0.285646i
\(482\) 7.86114 3.78573i 0.358065 0.172435i
\(483\) 60.9262 + 11.3935i 2.77224 + 0.518421i
\(484\) −16.6822 8.03371i −0.758280 0.365168i
\(485\) −11.6266 + 5.59908i −0.527938 + 0.254241i
\(486\) 1.92090 8.41601i 0.0871338 0.381758i
\(487\) 6.40155 3.08282i 0.290082 0.139696i −0.283184 0.959066i \(-0.591391\pi\)
0.573266 + 0.819370i \(0.305676\pi\)
\(488\) −3.46952 4.35065i −0.157058 0.196944i
\(489\) 2.50295 0.113187
\(490\) −10.5961 33.8392i −0.478683 1.52870i
\(491\) 15.8484 0.715227 0.357613 0.933870i \(-0.383591\pi\)
0.357613 + 0.933870i \(0.383591\pi\)
\(492\) 4.10957 + 5.15324i 0.185274 + 0.232326i
\(493\) 4.16107 2.00387i 0.187405 0.0902496i
\(494\) −2.44061 + 10.6930i −0.109808 + 0.481102i
\(495\) −80.5999 + 38.8149i −3.62270 + 1.74460i
\(496\) −17.6259 8.48817i −0.791425 0.381130i
\(497\) 10.2892 + 7.55995i 0.461532 + 0.339110i
\(498\) −35.6902 + 17.1875i −1.59932 + 0.770190i
\(499\) 0.820116 1.02839i 0.0367134 0.0460372i −0.763136 0.646238i \(-0.776341\pi\)
0.799849 + 0.600201i \(0.204913\pi\)
\(500\) 6.58810 + 3.17266i 0.294629 + 0.141886i
\(501\) 0.279909 + 0.350995i 0.0125054 + 0.0156813i
\(502\) 8.17763 + 35.8286i 0.364986 + 1.59911i
\(503\) −9.68547 12.1452i −0.431854 0.541528i 0.517522 0.855670i \(-0.326855\pi\)
−0.949376 + 0.314142i \(0.898283\pi\)
\(504\) −18.1500 13.3357i −0.808465 0.594018i
\(505\) 11.7251 14.7028i 0.521761 0.654268i
\(506\) 63.5867 + 30.6217i 2.82677 + 1.36130i
\(507\) −0.676845 2.96545i −0.0300598 0.131700i
\(508\) 19.6380 0.871295
\(509\) 22.8711 1.01374 0.506872 0.862021i \(-0.330802\pi\)
0.506872 + 0.862021i \(0.330802\pi\)
\(510\) −15.6937 68.7586i −0.694929 3.04468i
\(511\) 0.402841 + 0.758297i 0.0178206 + 0.0335451i
\(512\) 3.79494 16.6267i 0.167714 0.734804i
\(513\) 13.4038 58.7260i 0.591794 2.59282i
\(514\) 21.0843 26.4389i 0.929990 1.16617i
\(515\) −17.9647 + 22.5270i −0.791617 + 0.992657i
\(516\) 1.53770 6.73709i 0.0676933 0.296584i
\(517\) −10.6449 + 46.6386i −0.468164 + 2.05116i
\(518\) −17.9140 33.7208i −0.787095 1.48161i
\(519\) 15.1214 + 66.2513i 0.663757 + 2.90811i
\(520\) 3.82946 0.167933
\(521\) 36.7196 1.60872 0.804358 0.594145i \(-0.202509\pi\)
0.804358 + 0.594145i \(0.202509\pi\)
\(522\) 2.52829 + 11.0772i 0.110660 + 0.484834i
\(523\) −6.56926 3.16359i −0.287254 0.138334i 0.284708 0.958614i \(-0.408103\pi\)
−0.571962 + 0.820280i \(0.693818\pi\)
\(524\) −14.8726 + 18.6496i −0.649711 + 0.814712i
\(525\) −18.8727 13.8667i −0.823671 0.605190i
\(526\) −35.9434 45.0716i −1.56721 1.96522i
\(527\) −4.03318 17.6705i −0.175688 0.769741i
\(528\) −47.6681 59.7739i −2.07449 2.60132i
\(529\) −32.7232 15.7586i −1.42275 0.685158i
\(530\) −22.7363 + 28.5104i −0.987603 + 1.23841i
\(531\) −29.9250 + 14.4111i −1.29863 + 0.625390i
\(532\) 16.1520 + 11.8676i 0.700277 + 0.514527i
\(533\) −1.56938 0.755772i −0.0679772 0.0327361i
\(534\) 48.5114 23.3619i 2.09929 1.01097i
\(535\) −3.82318 + 16.7505i −0.165291 + 0.724186i
\(536\) 10.5751 5.09271i 0.456775 0.219971i
\(537\) −37.6972 47.2707i −1.62675 2.03988i
\(538\) 16.4802 0.710512
\(539\) 5.15779 35.2378i 0.222162 1.51780i
\(540\) 34.6095 1.48935
\(541\) 22.0375 + 27.6342i 0.947468 + 1.18809i 0.982038 + 0.188685i \(0.0604226\pi\)
−0.0345695 + 0.999402i \(0.511006\pi\)
\(542\) 12.0415 5.79887i 0.517226 0.249083i
\(543\) −9.64107 + 42.2403i −0.413738 + 1.81270i
\(544\) 25.4660 12.2638i 1.09185 0.525805i
\(545\) −13.8431 6.66651i −0.592975 0.285562i
\(546\) −14.2477 2.66439i −0.609747 0.114025i
\(547\) −14.9863 + 7.21704i −0.640770 + 0.308579i −0.725909 0.687791i \(-0.758581\pi\)
0.0851393 + 0.996369i \(0.472866\pi\)
\(548\) 6.55464 8.21926i 0.280000 0.351110i
\(549\) 23.0210 + 11.0863i 0.982514 + 0.473154i
\(550\) −16.6261 20.8485i −0.708940 0.888983i
\(551\) 1.36725 + 5.99032i 0.0582469 + 0.255196i
\(552\) 19.8882 + 24.9390i 0.846497 + 1.06147i
\(553\) −13.3550 + 30.7888i −0.567912 + 1.30927i
\(554\) −32.6775 + 40.9763i −1.38833 + 1.74092i
\(555\) −61.7599 29.7420i −2.62156 1.26248i
\(556\) −3.16384 13.8617i −0.134177 0.587866i
\(557\) −14.6642 −0.621343 −0.310671 0.950517i \(-0.600554\pi\)
−0.310671 + 0.950517i \(0.600554\pi\)
\(558\) 44.5900 1.88765
\(559\) 0.406370 + 1.78042i 0.0171876 + 0.0753038i
\(560\) 14.6292 33.7264i 0.618199 1.42520i
\(561\) 15.7618 69.0569i 0.665463 2.91559i
\(562\) −3.82929 + 16.7772i −0.161529 + 0.707703i
\(563\) −14.4180 + 18.0796i −0.607646 + 0.761964i −0.986548 0.163473i \(-0.947730\pi\)
0.378902 + 0.925437i \(0.376302\pi\)
\(564\) 22.1839 27.8178i 0.934112 1.17134i
\(565\) −3.58689 + 15.7152i −0.150902 + 0.661143i
\(566\) −3.15250 + 13.8120i −0.132510 + 0.580563i
\(567\) 29.4702 + 5.51106i 1.23763 + 0.231443i
\(568\) 1.46214 + 6.40605i 0.0613500 + 0.268792i
\(569\) −29.8282 −1.25046 −0.625231 0.780440i \(-0.714995\pi\)
−0.625231 + 0.780440i \(0.714995\pi\)
\(570\) 93.8289 3.93006
\(571\) 4.75355 + 20.8266i 0.198930 + 0.871568i 0.971575 + 0.236730i \(0.0760758\pi\)
−0.772646 + 0.634837i \(0.781067\pi\)
\(572\) −5.70236 2.74611i −0.238427 0.114821i
\(573\) 27.6798 34.7094i 1.15634 1.45000i
\(574\) −6.28006 + 5.42776i −0.262125 + 0.226550i
\(575\) 13.9745 + 17.5234i 0.582776 + 0.730778i
\(576\) 1.72690 + 7.56605i 0.0719542 + 0.315252i
\(577\) −3.43078 4.30206i −0.142825 0.179097i 0.705274 0.708935i \(-0.250824\pi\)
−0.848099 + 0.529838i \(0.822253\pi\)
\(578\) 6.41158 + 3.08765i 0.266686 + 0.128429i
\(579\) 13.2118 16.5671i 0.549064 0.688505i
\(580\) −3.18071 + 1.53175i −0.132072 + 0.0636024i
\(581\) −8.97511 16.8945i −0.372350 0.700903i
\(582\) 22.6477 + 10.9066i 0.938777 + 0.452091i
\(583\) −32.9975 + 15.8908i −1.36662 + 0.658128i
\(584\) −0.0983306 + 0.430815i −0.00406895 + 0.0178272i
\(585\) −15.8424 + 7.62930i −0.655003 + 0.315433i
\(586\) 33.0333 + 41.4225i 1.36459 + 1.71115i
\(587\) 14.2785 0.589335 0.294668 0.955600i \(-0.404791\pi\)
0.294668 + 0.955600i \(0.404791\pi\)
\(588\) −14.8278 + 21.9487i −0.611488 + 0.905150i
\(589\) 24.1135 0.993578
\(590\) −16.7790 21.0402i −0.690780 0.866211i
\(591\) 48.8460 23.5230i 2.00926 0.967606i
\(592\) 8.80897 38.5946i 0.362046 1.58623i
\(593\) 27.1902 13.0941i 1.11657 0.537711i 0.217738 0.976007i \(-0.430132\pi\)
0.898830 + 0.438296i \(0.144418\pi\)
\(594\) 81.6655 + 39.3280i 3.35078 + 1.61365i
\(595\) 32.8804 8.88540i 1.34797 0.364266i
\(596\) 8.32334 4.00831i 0.340937 0.164187i
\(597\) −43.5383 + 54.5953i −1.78190 + 2.23444i
\(598\) 12.4984 + 6.01889i 0.511096 + 0.246131i
\(599\) −5.89176 7.38803i −0.240731 0.301867i 0.646759 0.762695i \(-0.276124\pi\)
−0.887490 + 0.460828i \(0.847553\pi\)
\(600\) −2.68189 11.7501i −0.109488 0.479698i
\(601\) −1.28443 1.61063i −0.0523931 0.0656989i 0.754945 0.655789i \(-0.227664\pi\)
−0.807338 + 0.590090i \(0.799092\pi\)
\(602\) 8.55417 + 1.59967i 0.348642 + 0.0651976i
\(603\) −33.6031 + 42.1369i −1.36842 + 1.71595i
\(604\) −5.07451 2.44376i −0.206479 0.0994350i
\(605\) −9.31478 40.8107i −0.378700 1.65919i
\(606\) −36.6318 −1.48807
\(607\) 18.7711 0.761896 0.380948 0.924596i \(-0.375598\pi\)
0.380948 + 0.924596i \(0.375598\pi\)
\(608\) 8.36766 + 36.6611i 0.339353 + 1.48680i
\(609\) −7.83889 + 2.11833i −0.317648 + 0.0858392i
\(610\) −4.60678 + 20.1836i −0.186523 + 0.817212i
\(611\) −2.09233 + 9.16710i −0.0846466 + 0.370861i
\(612\) −22.1965 + 27.8335i −0.897240 + 1.12510i
\(613\) 5.94705 7.45736i 0.240199 0.301200i −0.647090 0.762413i \(-0.724014\pi\)
0.887289 + 0.461213i \(0.152586\pi\)
\(614\) 4.13335 18.1094i 0.166809 0.730836i
\(615\) −3.31587 + 14.5278i −0.133709 + 0.585816i
\(616\) 13.8664 11.9845i 0.558693 0.482870i
\(617\) 3.62786 + 15.8947i 0.146052 + 0.639897i 0.993959 + 0.109752i \(0.0350055\pi\)
−0.847907 + 0.530145i \(0.822137\pi\)
\(618\) 56.1255 2.25770
\(619\) −40.3940 −1.62357 −0.811786 0.583955i \(-0.801504\pi\)
−0.811786 + 0.583955i \(0.801504\pi\)
\(620\) 3.08295 + 13.5073i 0.123814 + 0.542466i
\(621\) −68.6409 33.0557i −2.75447 1.32648i
\(622\) −16.4910 + 20.6790i −0.661228 + 0.829154i
\(623\) 12.1993 + 22.9636i 0.488754 + 0.920019i
\(624\) −9.36945 11.7489i −0.375078 0.470333i
\(625\) 6.91636 + 30.3025i 0.276654 + 1.21210i
\(626\) 20.6165 + 25.8522i 0.824000 + 1.03326i
\(627\) 84.9037 + 40.8875i 3.39073 + 1.63289i
\(628\) 5.62835 7.05772i 0.224595 0.281634i
\(629\) 33.0446 15.9134i 1.31757 0.634510i
\(630\) 3.31146 + 83.7266i 0.131932 + 3.33575i
\(631\) −14.7928 7.12383i −0.588891 0.283595i 0.115613 0.993294i \(-0.463117\pi\)
−0.704505 + 0.709699i \(0.748831\pi\)
\(632\) −15.5609 + 7.49374i −0.618980 + 0.298085i
\(633\) 8.85912 38.8143i 0.352118 1.54273i
\(634\) 40.9252 19.7085i 1.62535 0.782725i
\(635\) 27.6813 + 34.7112i 1.09850 + 1.37747i
\(636\) 27.2400 1.08014
\(637\) 1.01379 6.92620i 0.0401680 0.274426i
\(638\) −9.24588 −0.366048
\(639\) −18.8114 23.5888i −0.744168 0.933158i
\(640\) 25.6300 12.3428i 1.01311 0.487890i
\(641\) −6.66563 + 29.2040i −0.263276 + 1.15349i 0.654396 + 0.756152i \(0.272923\pi\)
−0.917673 + 0.397338i \(0.869934\pi\)
\(642\) 30.1533 14.5211i 1.19005 0.573100i
\(643\) 20.4337 + 9.84034i 0.805826 + 0.388065i 0.790993 0.611825i \(-0.209564\pi\)
0.0148324 + 0.999890i \(0.495279\pi\)
\(644\) 19.1794 16.5765i 0.755775 0.653205i
\(645\) 14.0757 6.77849i 0.554229 0.266903i
\(646\) −31.3011 + 39.2504i −1.23153 + 1.54429i
\(647\) −17.9746 8.65610i −0.706654 0.340306i 0.0458009 0.998951i \(-0.485416\pi\)
−0.752455 + 0.658644i \(0.771130\pi\)
\(648\) 9.61998 + 12.0631i 0.377909 + 0.473882i
\(649\) −6.01434 26.3505i −0.236083 1.03435i
\(650\) −3.26797 4.09790i −0.128180 0.160733i
\(651\) 1.25938 + 31.8421i 0.0493592 + 1.24799i
\(652\) 0.638255 0.800347i 0.0249960 0.0313440i
\(653\) 28.0379 + 13.5023i 1.09721 + 0.528387i 0.892779 0.450494i \(-0.148752\pi\)
0.204428 + 0.978882i \(0.434466\pi\)
\(654\) 6.65988 + 29.1788i 0.260422 + 1.14098i
\(655\) −53.9282 −2.10715
\(656\) −8.60565 −0.335994
\(657\) −0.451506 1.97818i −0.0176149 0.0771760i
\(658\) 36.1086 + 26.5307i 1.40766 + 1.03428i
\(659\) −7.23000 + 31.6767i −0.281641 + 1.23395i 0.614048 + 0.789268i \(0.289540\pi\)
−0.895689 + 0.444681i \(0.853317\pi\)
\(660\) −12.0483 + 52.7869i −0.468978 + 2.05473i
\(661\) 5.25670 6.59169i 0.204462 0.256387i −0.669019 0.743245i \(-0.733286\pi\)
0.873481 + 0.486858i \(0.161857\pi\)
\(662\) 14.9624 18.7623i 0.581531 0.729217i
\(663\) 3.09808 13.5736i 0.120319 0.527154i
\(664\) 2.19076 9.59836i 0.0850181 0.372489i
\(665\) 1.79078 + 45.2778i 0.0694433 + 1.75580i
\(666\) 20.0781 + 87.9678i 0.778010 + 3.40868i
\(667\) 7.77129 0.300905
\(668\) 0.183612 0.00710416
\(669\) −8.91681 39.0671i −0.344744 1.51042i
\(670\) −39.3434 18.9468i −1.51997 0.731978i
\(671\) −12.9639 + 16.2563i −0.500467 + 0.627566i
\(672\) −47.9745 + 12.9643i −1.85066 + 0.500110i
\(673\) 19.4865 + 24.4353i 0.751149 + 0.941911i 0.999643 0.0267227i \(-0.00850712\pi\)
−0.248494 + 0.968633i \(0.579936\pi\)
\(674\) −13.1272 57.5141i −0.505641 2.21536i
\(675\) 17.9477 + 22.5057i 0.690806 + 0.866243i
\(676\) −1.12083 0.539765i −0.0431090 0.0207602i
\(677\) 9.94285 12.4679i 0.382135 0.479182i −0.553148 0.833083i \(-0.686574\pi\)
0.935283 + 0.353901i \(0.115145\pi\)
\(678\) 28.2896 13.6236i 1.08646 0.523210i
\(679\) −4.83079 + 11.1370i −0.185389 + 0.427397i
\(680\) 15.7925 + 7.60525i 0.605613 + 0.291648i
\(681\) 26.3037 12.6672i 1.00796 0.485408i
\(682\) −8.07423 + 35.3755i −0.309178 + 1.35460i
\(683\) 6.69983 3.22647i 0.256362 0.123457i −0.301289 0.953533i \(-0.597417\pi\)
0.557651 + 0.830075i \(0.311703\pi\)
\(684\) −29.5302 37.0297i −1.12912 1.41587i
\(685\) 23.7673 0.908100
\(686\) −28.3572 17.5662i −1.08268 0.670682i
\(687\) −48.5397 −1.85190
\(688\) 5.62530 + 7.05391i 0.214463 + 0.268928i
\(689\) −6.48586 + 3.12343i −0.247092 + 0.118993i
\(690\) 26.4072 115.698i 1.00531 4.40453i
\(691\) −15.1270 + 7.28476i −0.575457 + 0.277125i −0.698892 0.715227i \(-0.746323\pi\)
0.123435 + 0.992353i \(0.460609\pi\)
\(692\) 25.0406 + 12.0589i 0.951900 + 0.458411i
\(693\) −33.4888 + 77.2054i −1.27213 + 2.93279i
\(694\) 13.6621 6.57932i 0.518606 0.249748i
\(695\) 20.0416 25.1314i 0.760221 0.953286i
\(696\) −3.76502 1.81314i −0.142713 0.0687268i
\(697\) −4.97107 6.23352i −0.188293 0.236111i
\(698\) −13.5192 59.2314i −0.511708 2.24194i
\(699\) −22.5611 28.2908i −0.853341 1.07006i
\(700\) −9.24657 + 2.49874i −0.349487 + 0.0944433i
\(701\) 9.81838 12.3119i 0.370835 0.465013i −0.561042 0.827788i \(-0.689599\pi\)
0.931877 + 0.362775i \(0.118171\pi\)
\(702\) 16.0519 + 7.73017i 0.605838 + 0.291756i
\(703\) 10.8578 + 47.5713i 0.409511 + 1.79419i
\(704\) −6.31523 −0.238014
\(705\) 80.4393 3.02952
\(706\) 1.22390 + 5.36227i 0.0460622 + 0.201812i
\(707\) −0.699138 17.6769i −0.0262938 0.664810i
\(708\) −4.47326 + 19.5986i −0.168115 + 0.736562i
\(709\) 0.0358311 0.156987i 0.00134567 0.00589575i −0.974251 0.225468i \(-0.927609\pi\)
0.975596 + 0.219572i \(0.0704661\pi\)
\(710\) 15.2417 19.1125i 0.572011 0.717279i
\(711\) 49.4458 62.0030i 1.85436 2.32529i
\(712\) −2.97776 + 13.0464i −0.111596 + 0.488936i
\(713\) 6.78650 29.7336i 0.254156 1.11353i
\(714\) −53.4654 39.2836i −2.00089 1.47015i
\(715\) −3.18401 13.9501i −0.119075 0.521703i
\(716\) −24.7282 −0.924135
\(717\) −86.8977 −3.24525
\(718\) −2.75456 12.0685i −0.102799 0.450394i
\(719\) −21.9173 10.5548i −0.817377 0.393628i −0.0220115 0.999758i \(-0.507007\pi\)
−0.795366 + 0.606129i \(0.792721\pi\)
\(720\) −54.1636 + 67.9190i −2.01856 + 2.53119i
\(721\) 1.07118 + 27.0837i 0.0398930 + 1.00865i
\(722\) −20.3064 25.4634i −0.755726 0.947651i
\(723\) −3.27886 14.3656i −0.121942 0.534263i
\(724\) 11.0483 + 13.8542i 0.410608 + 0.514886i
\(725\) −2.64550 1.27401i −0.0982514 0.0473154i
\(726\) −50.8396 + 63.7508i −1.88683 + 2.36601i
\(727\) −23.2419 + 11.1927i −0.861994 + 0.415115i −0.812016 0.583636i \(-0.801630\pi\)
−0.0499788 + 0.998750i \(0.515915\pi\)
\(728\) 2.72553 2.35563i 0.101015 0.0873055i
\(729\) 17.4941 + 8.42470i 0.647929 + 0.312026i
\(730\) 1.48120 0.713309i 0.0548217 0.0264008i
\(731\) −1.86005 + 8.14940i −0.0687963 + 0.301416i
\(732\) 13.9333 6.70992i 0.514989 0.248006i
\(733\) 0.679102 + 0.851567i 0.0250832 + 0.0314533i 0.794215 0.607637i \(-0.207882\pi\)
−0.769132 + 0.639090i \(0.779311\pi\)
\(734\) −36.8304 −1.35944
\(735\) −59.6964 + 4.72949i −2.20194 + 0.174450i
\(736\) 47.5607 1.75311
\(737\) −27.3446 34.2890i −1.00725 1.26305i
\(738\) 17.6722 8.51048i 0.650523 0.313275i
\(739\) 10.6268 46.5589i 0.390912 1.71270i −0.270540 0.962709i \(-0.587202\pi\)
0.661451 0.749988i \(-0.269941\pi\)
\(740\) −25.2592 + 12.1642i −0.928546 + 0.447164i
\(741\) 16.6884 + 8.03669i 0.613062 + 0.295235i
\(742\) 1.35571 + 34.2776i 0.0497696 + 1.25837i
\(743\) −24.9982 + 12.0385i −0.917096 + 0.441650i −0.832033 0.554726i \(-0.812823\pi\)
−0.0850623 + 0.996376i \(0.527109\pi\)
\(744\) −10.2251 + 12.8219i −0.374871 + 0.470074i
\(745\) 18.8173 + 9.06193i 0.689412 + 0.332003i
\(746\) 7.91175 + 9.92102i 0.289670 + 0.363234i
\(747\) 10.0594 + 44.0729i 0.368052 + 1.61254i
\(748\) −18.0625 22.6496i −0.660429 0.828151i
\(749\) 7.58273 + 14.2735i 0.277067 + 0.521544i
\(750\) 20.0775 25.1764i 0.733127 0.919312i
\(751\) −25.8562 12.4517i −0.943506 0.454368i −0.102101 0.994774i \(-0.532557\pi\)
−0.841405 + 0.540406i \(0.818271\pi\)
\(752\) 10.3370 + 45.2896i 0.376953 + 1.65154i
\(753\) 62.0630 2.26170
\(754\) −1.81733 −0.0661834
\(755\) −2.83345 12.4141i −0.103120 0.451797i
\(756\) 24.6325 21.2895i 0.895875 0.774291i
\(757\) 10.5427 46.1904i 0.383179 1.67882i −0.304270 0.952586i \(-0.598413\pi\)
0.687449 0.726232i \(-0.258730\pi\)
\(758\) 3.04595 13.3452i 0.110634 0.484719i
\(759\) 74.3125 93.1849i 2.69737 3.38240i
\(760\) −14.5396 + 18.2320i −0.527406 + 0.661346i
\(761\) 0.495321 2.17014i 0.0179554 0.0786677i −0.965156 0.261674i \(-0.915726\pi\)
0.983112 + 0.183006i \(0.0585827\pi\)
\(762\) 19.2441 84.3140i 0.697141 3.05437i
\(763\) −13.9533 + 3.77066i −0.505145 + 0.136507i
\(764\) −4.04033 17.7019i −0.146174 0.640431i
\(765\) −80.4849 −2.90994
\(766\) −2.44207 −0.0882355
\(767\) −1.18215 5.17936i −0.0426851 0.187016i
\(768\) −56.7286 27.3191i −2.04702 0.985792i
\(769\) −12.0915 + 15.1622i −0.436030 + 0.546764i −0.950492 0.310749i \(-0.899420\pi\)
0.514462 + 0.857513i \(0.327992\pi\)
\(770\) −67.0242 12.5338i −2.41538 0.451687i
\(771\) −35.6070 44.6498i −1.28236 1.60802i
\(772\) −1.92849 8.44925i −0.0694078 0.304095i
\(773\) 26.5064 + 33.2380i 0.953369 + 1.19549i 0.980632 + 0.195859i \(0.0627495\pi\)
−0.0272627 + 0.999628i \(0.508679\pi\)
\(774\) −18.5278 8.92251i −0.665968 0.320713i
\(775\) −7.18471 + 9.00934i −0.258082 + 0.323625i
\(776\) −5.62872 + 2.71065i −0.202059 + 0.0973066i
\(777\) −62.2515 + 16.8225i −2.23326 + 0.603503i
\(778\) 49.3476 + 23.7645i 1.76920 + 0.852000i
\(779\) 9.55679 4.60231i 0.342408 0.164895i
\(780\) −2.36816 + 10.3756i −0.0847937 + 0.371506i
\(781\) 22.1205 10.6527i 0.791533 0.381182i
\(782\) 39.5891 + 49.6431i 1.41570 + 1.77523i
\(783\) 9.98080 0.356685
\(784\) −10.3343 33.0030i −0.369081 1.17868i
\(785\) 20.4085 0.728410
\(786\) 65.4961 + 82.1295i 2.33617 + 2.92946i
\(787\) −24.8894 + 11.9861i −0.887213 + 0.427259i −0.821254 0.570563i \(-0.806725\pi\)
−0.0659592 + 0.997822i \(0.521011\pi\)
\(788\) 4.93404 21.6174i 0.175768 0.770089i
\(789\) −87.7154 + 42.2415i −3.12275 + 1.50384i
\(790\) 57.8924 + 27.8795i 2.05972 + 0.991908i
\(791\) 7.11407 + 13.3913i 0.252947 + 0.476141i
\(792\) −39.0203 + 18.7912i −1.38653 + 0.667716i
\(793\) −2.54814 + 3.19527i −0.0904871 + 0.113467i
\(794\) −63.3680 30.5164i −2.24885 1.08299i
\(795\) 38.3969 + 48.1482i 1.36180 + 1.70764i
\(796\) 6.35514 + 27.8437i 0.225252 + 0.986894i
\(797\) −25.1523 31.5399i −0.890939 1.11720i −0.992484 0.122371i \(-0.960950\pi\)
0.101545 0.994831i \(-0.467621\pi\)
\(798\) 66.7806 57.7174i 2.36401 2.04318i
\(799\) −26.8344 + 33.6492i −0.949332 + 1.19042i
\(800\) −16.1906 7.79699i −0.572425 0.275665i
\(801\) −13.6730 59.9055i −0.483113 2.11666i
\(802\) −24.6393 −0.870045
\(803\) 1.65114 0.0582676
\(804\) 7.25854 + 31.8018i 0.255989 + 1.12156i
\(805\) 56.3347 + 10.5348i 1.98554 + 0.371304i
\(806\) −1.58704 + 6.95327i −0.0559011 + 0.244919i
\(807\) 6.19312 27.1338i 0.218008 0.955156i
\(808\) 5.67640 7.11798i 0.199695 0.250410i
\(809\) −16.8976 + 21.1889i −0.594088 + 0.744963i −0.984444 0.175701i \(-0.943781\pi\)
0.390355 + 0.920664i \(0.372352\pi\)
\(810\) 12.7733 55.9634i 0.448807 1.96635i
\(811\) −5.11741 + 22.4208i −0.179696 + 0.787302i 0.802073 + 0.597226i \(0.203730\pi\)
−0.981769 + 0.190076i \(0.939127\pi\)
\(812\) −1.32157 + 3.04675i −0.0463779 + 0.106920i
\(813\) −5.02246 22.0049i −0.176146 0.771744i
\(814\) −73.4249 −2.57354
\(815\) 2.31433 0.0810673
\(816\) −15.3059 67.0595i −0.535813 2.34755i
\(817\) −10.0195 4.82513i −0.350537 0.168810i
\(818\) −11.0292 + 13.8302i −0.385626 + 0.483560i
\(819\) −6.58243 + 15.1752i −0.230009 + 0.530265i
\(820\) 3.79987 + 4.76488i 0.132697 + 0.166397i
\(821\) −2.79108 12.2285i −0.0974095 0.426779i 0.902584 0.430515i \(-0.141668\pi\)
−0.999993 + 0.00373587i \(0.998811\pi\)
\(822\) −28.8655 36.1962i −1.00680 1.26249i
\(823\) 2.82267 + 1.35933i 0.0983921 + 0.0473832i 0.482433 0.875933i \(-0.339753\pi\)
−0.384040 + 0.923316i \(0.625468\pi\)
\(824\) −8.69711 + 10.9058i −0.302978 + 0.379922i
\(825\) −40.5739 + 19.5394i −1.41260 + 0.680274i
\(826\) −24.8846 4.65354i −0.865847 0.161917i
\(827\) −21.1716 10.1957i −0.736209 0.354539i 0.0279141 0.999610i \(-0.491114\pi\)
−0.764123 + 0.645071i \(0.776828\pi\)
\(828\) −53.9712 + 25.9912i −1.87563 + 0.903256i
\(829\) −4.22085 + 18.4928i −0.146596 + 0.642281i 0.847220 + 0.531243i \(0.178275\pi\)
−0.993816 + 0.111038i \(0.964582\pi\)
\(830\) −33.0005 + 15.8922i −1.14547 + 0.551627i
\(831\) 55.1855 + 69.2004i 1.91436 + 2.40054i
\(832\) −1.24130 −0.0430342
\(833\) 17.9362 26.5499i 0.621451 0.919898i
\(834\) −62.6142 −2.16815
\(835\) 0.258815 + 0.324544i 0.00895666 + 0.0112313i
\(836\) 34.7248 16.7226i 1.20098 0.578362i
\(837\) 8.71602 38.1874i 0.301270 1.31995i
\(838\) −36.7605 + 17.7029i −1.26987 + 0.611537i
\(839\) 13.2830 + 6.39678i 0.458582 + 0.220841i 0.648889 0.760883i \(-0.275234\pi\)
−0.190307 + 0.981725i \(0.560948\pi\)
\(840\) −24.8350 18.2475i −0.856890 0.629598i
\(841\) 25.2108 12.1409i 0.869339 0.418652i
\(842\) −19.3262 + 24.2342i −0.666024 + 0.835167i
\(843\) 26.1838 + 12.6095i 0.901818 + 0.434293i
\(844\) −10.1522 12.7305i −0.349454 0.438202i
\(845\) −0.625837 2.74197i −0.0215295 0.0943267i
\(846\) −66.0164 82.7820i −2.26969 2.84610i
\(847\) −31.7337 23.3163i −1.09038 0.801156i
\(848\) −22.1745 + 27.8059i −0.761475 + 0.954859i
\(849\) 21.5561 + 10.3809i 0.739804 + 0.356271i
\(850\) −5.33853 23.3896i −0.183110 0.802258i
\(851\) 61.7146 2.11555
\(852\) −18.2608 −0.625606
\(853\) −2.17649 9.53584i −0.0745217 0.326501i 0.923902 0.382630i \(-0.124981\pi\)
−0.998424 + 0.0561286i \(0.982124\pi\)
\(854\) 9.13689 + 17.1990i 0.312658 + 0.588539i
\(855\) 23.8269 104.393i 0.814863 3.57015i
\(856\) −1.85089 + 8.10929i −0.0632622 + 0.277170i
\(857\) 4.73938 5.94299i 0.161894 0.203009i −0.694267 0.719717i \(-0.744271\pi\)
0.856161 + 0.516709i \(0.172843\pi\)
\(858\) −17.3782 + 21.7915i −0.593280 + 0.743950i
\(859\) −7.82316 + 34.2755i −0.266923 + 1.16946i 0.646649 + 0.762787i \(0.276170\pi\)
−0.913572 + 0.406677i \(0.866687\pi\)
\(860\) 1.42181 6.22938i 0.0484835 0.212420i
\(861\) 6.57654 + 12.3795i 0.224128 + 0.421893i
\(862\) 13.1600 + 57.6578i 0.448232 + 1.96383i
\(863\) −37.8793 −1.28943 −0.644714 0.764424i \(-0.723023\pi\)
−0.644714 + 0.764424i \(0.723023\pi\)
\(864\) 61.0831 2.07809
\(865\) 13.9819 + 61.2585i 0.475397 + 2.08285i
\(866\) 31.2256 + 15.0375i 1.06109 + 0.510994i
\(867\) 7.49308 9.39603i 0.254478 0.319106i
\(868\) 10.5030 + 7.71708i 0.356496 + 0.261935i
\(869\) 40.2366 + 50.4551i 1.36493 + 1.71157i
\(870\) 3.45951 + 15.1571i 0.117288 + 0.513874i
\(871\) −5.37475 6.73972i −0.182116 0.228367i
\(872\) −6.70179 3.22741i −0.226951 0.109294i
\(873\) 17.8856 22.4278i 0.605336 0.759067i
\(874\) −76.1093 + 36.6523i −2.57444 + 1.23978i
\(875\) 12.5322 + 9.20803i 0.423667 + 0.311288i
\(876\) −1.10645 0.532837i −0.0373834 0.0180029i
\(877\) −9.61446 + 4.63008i −0.324657 + 0.156347i −0.589112 0.808051i \(-0.700522\pi\)
0.264455 + 0.964398i \(0.414808\pi\)
\(878\) −1.67993 + 7.36026i −0.0566950 + 0.248397i
\(879\) 80.6137 38.8215i 2.71903 1.30942i
\(880\) −44.0757 55.2692i −1.48579 1.86313i
\(881\) −3.26993 −0.110167 −0.0550833 0.998482i \(-0.517542\pi\)
−0.0550833 + 0.998482i \(0.517542\pi\)
\(882\) 53.8600 + 57.5535i 1.81356 + 1.93793i
\(883\) −11.0271 −0.371091 −0.185545 0.982636i \(-0.559405\pi\)
−0.185545 + 0.982636i \(0.559405\pi\)
\(884\) −3.55029 4.45192i −0.119409 0.149734i
\(885\) −40.9470 + 19.7190i −1.37642 + 0.662849i
\(886\) −3.91573 + 17.1560i −0.131552 + 0.576366i
\(887\) −21.9349 + 10.5633i −0.736502 + 0.354680i −0.764238 0.644935i \(-0.776885\pi\)
0.0277360 + 0.999615i \(0.491170\pi\)
\(888\) −29.8994 14.3988i −1.00336 0.483192i
\(889\) 41.0536 + 7.67720i 1.37689 + 0.257485i
\(890\) 44.8555 21.6013i 1.50356 0.724076i
\(891\) 35.9452 45.0739i 1.20421 1.51003i
\(892\) −14.7659 7.11090i −0.494400 0.238091i
\(893\) −35.7005 44.7670i −1.19467 1.49807i
\(894\) −9.05291 39.6634i −0.302775 1.32654i
\(895\) −34.8563 43.7084i −1.16512 1.46101i
\(896\) 10.6491 24.5506i 0.355762 0.820177i
\(897\) 14.6066 18.3161i 0.487699 0.611556i
\(898\) 2.68205 + 1.29160i 0.0895010 + 0.0431014i
\(899\) 0.889073 + 3.89528i 0.0296523 + 0.129915i
\(900\) 22.6338 0.754461
\(901\) −32.9504 −1.09774
\(902\) 3.55176 + 15.5613i 0.118261 + 0.518134i
\(903\) 5.84836 13.4829i 0.194621 0.448682i
\(904\) −1.73650 + 7.60809i −0.0577550 + 0.253041i
\(905\) −8.91450 + 39.0570i −0.296328 + 1.29830i
\(906\) −15.4648 + 19.3922i −0.513783 + 0.644263i
\(907\) 10.7483 13.4780i 0.356892 0.447528i −0.570680 0.821172i \(-0.693320\pi\)
0.927572 + 0.373644i \(0.121892\pi\)
\(908\) 2.65700 11.6411i 0.0881755 0.386322i
\(909\) −9.30228 + 40.7559i −0.308537 + 1.35179i
\(910\) −13.1740 2.46360i −0.436714 0.0816675i
\(911\) 5.67066 + 24.8448i 0.187877 + 0.823145i 0.977733 + 0.209852i \(0.0672982\pi\)
−0.789856 + 0.613293i \(0.789845\pi\)
\(912\) 91.5103 3.03021
\(913\) −36.7868 −1.21746
\(914\) 5.54709 + 24.3034i 0.183481 + 0.803884i
\(915\) 31.5002 + 15.1697i 1.04136 + 0.501494i
\(916\) −12.3777 + 15.5211i −0.408970 + 0.512832i
\(917\) −38.3821 + 33.1731i −1.26749 + 1.09547i
\(918\) 50.8449 + 63.7575i 1.67813 + 2.10431i
\(919\) −2.91411 12.7675i −0.0961275 0.421162i 0.903850 0.427849i \(-0.140729\pi\)
−0.999978 + 0.00668718i \(0.997871\pi\)
\(920\) 18.3894 + 23.0595i 0.606280 + 0.760251i
\(921\) −28.2629 13.6107i −0.931296 0.448488i
\(922\) −28.9130 + 36.2557i −0.952199 + 1.19402i
\(923\) 4.34791 2.09385i 0.143113 0.0689198i
\(924\) 23.8960 + 44.9812i 0.786120 + 1.47977i
\(925\) −21.0089 10.1173i −0.690768 0.332656i
\(926\) 19.7310 9.50194i 0.648400 0.312253i
\(927\) 14.2525 62.4442i 0.468113 2.05094i
\(928\) −5.61371 + 2.70342i −0.184279 + 0.0887442i
\(929\) −18.0903 22.6845i −0.593524 0.744255i 0.390829 0.920463i \(-0.372188\pi\)
−0.984353 + 0.176208i \(0.943617\pi\)
\(930\) 61.0135 2.00071
\(931\) 29.1265 + 31.1239i 0.954582 + 1.02004i
\(932\) −14.7994 −0.484771
\(933\) 27.8498 + 34.9226i 0.911762 + 1.14331i
\(934\) −38.7026 + 18.6382i −1.26639 + 0.609860i
\(935\) 14.5740 63.8527i 0.476620 2.08821i
\(936\) −7.66968 + 3.69352i −0.250691 + 0.120727i
\(937\) 27.9010 + 13.4364i 0.911484 + 0.438948i 0.830023 0.557729i \(-0.188327\pi\)
0.0814611 + 0.996677i \(0.474041\pi\)
\(938\) −39.6566 + 10.7165i −1.29483 + 0.349908i
\(939\) 50.3119 24.2289i 1.64187 0.790681i
\(940\) 20.5121 25.7214i 0.669031 0.838939i
\(941\) 51.8401 + 24.9649i 1.68994 + 0.813831i 0.995550 + 0.0942297i \(0.0300388\pi\)
0.694387 + 0.719601i \(0.255675\pi\)
\(942\) −24.7862 31.0810i −0.807579 1.01267i
\(943\) −2.98530 13.0795i −0.0972149 0.425926i
\(944\) −16.3644 20.5203i −0.532615 0.667878i
\(945\) 72.3517 + 13.5301i 2.35360 + 0.440134i
\(946\) 10.4336 13.0834i 0.339227 0.425377i
\(947\) −23.3895 11.2638i −0.760055 0.366023i 0.0133702 0.999911i \(-0.495744\pi\)
−0.773425 + 0.633887i \(0.781458\pi\)
\(948\) −10.6807 46.7951i −0.346893 1.51984i
\(949\) 0.324542 0.0105351
\(950\) 31.9178 1.03555
\(951\) −17.0698 74.7875i −0.553525 2.42515i
\(952\) 15.9182 4.30163i 0.515911 0.139417i
\(953\) 5.95563 26.0933i 0.192922 0.845245i −0.782103 0.623149i \(-0.785853\pi\)
0.975025 0.222096i \(-0.0712899\pi\)
\(954\) 18.0382 79.0303i 0.584007 2.55870i
\(955\) 25.5938 32.0936i 0.828196 1.03853i
\(956\) −22.1590 + 27.7865i −0.716673 + 0.898680i
\(957\) −3.47452 + 15.2229i −0.112315 + 0.492086i
\(958\) 13.1289 57.5213i 0.424175 1.85843i
\(959\) 16.9158 14.6201i 0.546240 0.472107i
\(960\) 2.36296 + 10.3528i 0.0762641 + 0.334135i
\(961\) −15.3199 −0.494191
\(962\) −14.4321 −0.465310
\(963\) −8.49876 37.2355i −0.273869 1.19990i
\(964\) −5.42968 2.61480i −0.174878 0.0842169i
\(965\) 12.2162 15.3186i 0.393252 0.493122i
\(966\) −52.3749 98.5892i −1.68513 3.17205i
\(967\) −29.3175 36.7630i −0.942787 1.18222i −0.983107 0.183031i \(-0.941409\pi\)
0.0403199 0.999187i \(-0.487162\pi\)
\(968\) −4.50950 19.7574i −0.144941 0.635028i
\(969\) 52.8611 + 66.2857i 1.69814 + 2.12940i
\(970\) 20.9409 + 10.0846i 0.672373 + 0.323798i
\(971\) 0.675188 0.846659i 0.0216678 0.0271706i −0.770880 0.636981i \(-0.780183\pi\)
0.792547 + 0.609810i \(0.208754\pi\)
\(972\) −5.37195 + 2.58700i −0.172305 + 0.0829779i
\(973\) −1.19503 30.2149i −0.0383108 0.968646i
\(974\) −11.5300 5.55253i −0.369443 0.177915i
\(975\) −7.97506 + 3.84059i −0.255406 + 0.122997i
\(976\) −4.49295 + 19.6849i −0.143816 + 0.630098i
\(977\) 18.3367 8.83048i 0.586643 0.282512i −0.116925 0.993141i \(-0.537304\pi\)
0.703567 + 0.710629i \(0.251589\pi\)
\(978\) −2.81076 3.52459i −0.0898783 0.112704i
\(979\) 50.0019 1.59807
\(980\) −13.7103 + 20.2946i −0.437961 + 0.648288i
\(981\) 34.1551 1.09049
\(982\) −17.7974 22.3172i −0.567938 0.712171i
\(983\) −6.57545 + 3.16657i −0.209724 + 0.100998i −0.535797 0.844347i \(-0.679989\pi\)
0.326073 + 0.945345i \(0.394275\pi\)
\(984\) −1.60529 + 7.03323i −0.0511747 + 0.224211i
\(985\) 45.1649 21.7503i 1.43907 0.693021i
\(986\) −7.49459 3.60920i −0.238676 0.114940i
\(987\) 57.2508 49.4810i 1.82231 1.57500i
\(988\) 6.82537 3.28692i 0.217144 0.104571i
\(989\) −8.76961 + 10.9967i −0.278857 + 0.349676i
\(990\) 145.170 + 69.9102i 4.61381 + 2.22189i
\(991\) −14.4782 18.1551i −0.459914 0.576714i 0.496755 0.867891i \(-0.334525\pi\)
−0.956669 + 0.291177i \(0.905953\pi\)
\(992\) 5.44118 + 23.8394i 0.172758 + 0.756901i
\(993\) −25.2684 31.6856i −0.801869 1.00551i
\(994\) −0.908823 22.9786i −0.0288261 0.728837i
\(995\) −40.2572 + 50.4809i −1.27624 + 1.60035i
\(996\) 24.6512 + 11.8714i 0.781102 + 0.376159i
\(997\) 1.74227 + 7.63340i 0.0551784 + 0.241752i 0.994995 0.0999279i \(-0.0318612\pi\)
−0.939816 + 0.341680i \(0.889004\pi\)
\(998\) −2.36913 −0.0749934
\(999\) 79.2612 2.50771
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 637.2.w.b.547.7 yes 174
49.43 even 7 inner 637.2.w.b.92.7 174
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
637.2.w.b.92.7 174 49.43 even 7 inner
637.2.w.b.547.7 yes 174 1.1 even 1 trivial