Properties

Label 129.2.i.c.121.1
Level $129$
Weight $2$
Character 129.121
Analytic conductor $1.030$
Analytic rank $0$
Dimension $30$
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] = [129,2,Mod(4,129)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(129, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("129.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 129 = 3 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 129.i (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: \(1.03007018607\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 121.1
Character \(\chi\) \(=\) 129.121
Dual form 129.2.i.c.16.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.612872 + 2.68517i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-5.03258 - 2.42357i) q^{4} +(-1.63490 + 2.05010i) q^{5} +2.75422 q^{6} -2.70528 q^{7} +(6.15755 - 7.72133i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})\) \(q+(-0.612872 + 2.68517i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-5.03258 - 2.42357i) q^{4} +(-1.63490 + 2.05010i) q^{5} +2.75422 q^{6} -2.70528 q^{7} +(6.15755 - 7.72133i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(-4.50288 - 5.64643i) q^{10} +(-1.76912 + 0.851961i) q^{11} +(-1.24295 + 5.44570i) q^{12} +(-0.728517 + 0.913531i) q^{13} +(1.65799 - 7.26414i) q^{14} +(2.36250 + 1.13772i) q^{15} +(9.99397 + 12.5320i) q^{16} +(3.95584 + 4.96046i) q^{17} +(-0.612872 - 2.68517i) q^{18} +(-0.295245 - 0.142183i) q^{19} +(13.1963 - 6.35502i) q^{20} +(0.601982 + 2.63745i) q^{21} +(-1.20342 - 5.27252i) q^{22} +(-7.25581 + 3.49422i) q^{23} +(-8.89792 - 4.28501i) q^{24} +(-0.417407 - 1.82878i) q^{25} +(-2.00650 - 2.51607i) q^{26} +(0.623490 + 0.781831i) q^{27} +(13.6146 + 6.55642i) q^{28} +(0.646224 - 2.83129i) q^{29} +(-4.50288 + 5.64643i) q^{30} +(0.351713 - 1.54096i) q^{31} +(-21.9798 + 10.5849i) q^{32} +(1.22427 + 1.53518i) q^{33} +(-15.7441 + 7.58196i) q^{34} +(4.42286 - 5.54610i) q^{35} +5.58575 q^{36} -1.56928 q^{37} +(0.562732 - 0.705643i) q^{38} +(1.05274 + 0.506972i) q^{39} +(5.76251 + 25.2472i) q^{40} +(-0.656119 + 2.87465i) q^{41} -7.45095 q^{42} +(5.70080 - 3.24051i) q^{43} +10.9680 q^{44} +(0.583489 - 2.55643i) q^{45} +(-4.93567 - 21.6246i) q^{46} +(-2.07345 - 0.998523i) q^{47} +(9.99397 - 12.5320i) q^{48} +0.318543 q^{49} +5.16640 q^{50} +(3.95584 - 4.96046i) q^{51} +(5.88033 - 2.83182i) q^{52} +(8.36199 + 10.4856i) q^{53} +(-2.48147 + 1.19501i) q^{54} +(1.14572 - 5.01974i) q^{55} +(-16.6579 + 20.8884i) q^{56} +(-0.0729195 + 0.319481i) q^{57} +(7.20645 + 3.47044i) q^{58} +(-1.99146 - 2.49721i) q^{59} +(-9.13214 - 11.4513i) q^{60} +(-1.55679 - 6.82075i) q^{61} +(3.92217 + 1.88882i) q^{62} +(2.43737 - 1.17378i) q^{63} +(-7.81788 - 34.2524i) q^{64} +(-0.681778 - 2.98707i) q^{65} +(-4.87254 + 2.34649i) q^{66} +(8.03294 + 3.86846i) q^{67} +(-7.88608 - 34.5512i) q^{68} +(5.02118 + 6.29636i) q^{69} +(12.1816 + 15.2752i) q^{70} +(-8.21755 - 3.95737i) q^{71} +(-2.19761 + 9.62834i) q^{72} +(-1.74482 + 2.18793i) q^{73} +(0.961767 - 4.21378i) q^{74} +(-1.69005 + 0.813884i) q^{75} +(1.14126 + 1.43109i) q^{76} +(4.78596 - 2.30479i) q^{77} +(-2.00650 + 2.51607i) q^{78} +5.62016 q^{79} -42.0311 q^{80} +(0.623490 - 0.781831i) q^{81} +(-7.31680 - 3.52358i) q^{82} +(1.56323 + 6.84897i) q^{83} +(3.36252 - 14.7322i) q^{84} -16.6368 q^{85} +(5.20746 + 17.2936i) q^{86} -2.90411 q^{87} +(-4.31515 + 18.9059i) q^{88} +(2.11631 + 9.27214i) q^{89} +(6.50685 + 3.13353i) q^{90} +(1.97084 - 2.47136i) q^{91} +44.9840 q^{92} -1.58058 q^{93} +(3.95197 - 4.95561i) q^{94} +(0.774185 - 0.372828i) q^{95} +(15.2105 + 19.0734i) q^{96} +(5.18586 - 2.49738i) q^{97} +(-0.195226 + 0.855343i) q^{98} +(1.22427 - 1.53518i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q - 2 q^{2} - 5 q^{3} - 14 q^{4} - 4 q^{5} - 2 q^{6} + 2 q^{7} + 8 q^{8} - 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q - 2 q^{2} - 5 q^{3} - 14 q^{4} - 4 q^{5} - 2 q^{6} + 2 q^{7} + 8 q^{8} - 5 q^{9} - 10 q^{10} - 6 q^{11} - 7 q^{12} - 14 q^{13} + 9 q^{14} + 3 q^{15} + 16 q^{16} - 6 q^{17} - 2 q^{18} - 20 q^{19} + 22 q^{20} - 5 q^{21} - 4 q^{22} - 10 q^{23} + q^{24} + 9 q^{25} - 6 q^{26} - 5 q^{27} - 8 q^{28} + 16 q^{29} - 10 q^{30} + 14 q^{31} - 20 q^{32} + q^{33} - 10 q^{34} + 4 q^{35} + 42 q^{36} - 16 q^{37} - 4 q^{38} + 14 q^{39} + 14 q^{40} - q^{41} - 12 q^{42} + 3 q^{43} + 186 q^{44} + 3 q^{45} - 51 q^{46} - 15 q^{47} + 16 q^{48} + 40 q^{49} - 80 q^{50} - 6 q^{51} - 12 q^{52} + 23 q^{53} - 2 q^{54} - 25 q^{55} - 87 q^{56} + 29 q^{57} - 26 q^{59} + q^{60} - 4 q^{61} - 44 q^{62} - 12 q^{63} - 70 q^{64} - 5 q^{65} + 3 q^{66} + q^{67} - 48 q^{68} + 11 q^{69} - 33 q^{70} - 60 q^{71} - 6 q^{72} - 25 q^{73} + 144 q^{74} - 12 q^{75} + q^{76} - 6 q^{77} - 6 q^{78} + 142 q^{79} - 98 q^{80} - 5 q^{81} + 140 q^{82} + 7 q^{83} - 15 q^{84} - 20 q^{85} - 4 q^{86} + 2 q^{87} + 8 q^{88} + 4 q^{89} + 4 q^{90} - 40 q^{91} + 122 q^{92} - 14 q^{93} + 38 q^{94} + 140 q^{95} - 6 q^{96} + 6 q^{97} + 23 q^{98} + q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/129\mathbb{Z}\right)^\times\).

\(n\) \(44\) \(46\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.612872 + 2.68517i −0.433366 + 1.89870i 0.00516720 + 0.999987i \(0.498355\pi\)
−0.438533 + 0.898715i \(0.644502\pi\)
\(3\) −0.222521 0.974928i −0.128473 0.562875i
\(4\) −5.03258 2.42357i −2.51629 1.21178i
\(5\) −1.63490 + 2.05010i −0.731150 + 0.916833i −0.998911 0.0466525i \(-0.985145\pi\)
0.267761 + 0.963485i \(0.413716\pi\)
\(6\) 2.75422 1.12441
\(7\) −2.70528 −1.02250 −0.511250 0.859432i \(-0.670817\pi\)
−0.511250 + 0.859432i \(0.670817\pi\)
\(8\) 6.15755 7.72133i 2.17702 2.72990i
\(9\) −0.900969 + 0.433884i −0.300323 + 0.144628i
\(10\) −4.50288 5.64643i −1.42394 1.78556i
\(11\) −1.76912 + 0.851961i −0.533409 + 0.256876i −0.681142 0.732151i \(-0.738516\pi\)
0.147734 + 0.989027i \(0.452802\pi\)
\(12\) −1.24295 + 5.44570i −0.358808 + 1.57204i
\(13\) −0.728517 + 0.913531i −0.202054 + 0.253368i −0.872527 0.488566i \(-0.837520\pi\)
0.670472 + 0.741934i \(0.266091\pi\)
\(14\) 1.65799 7.26414i 0.443117 1.94142i
\(15\) 2.36250 + 1.13772i 0.609995 + 0.293758i
\(16\) 9.99397 + 12.5320i 2.49849 + 3.13301i
\(17\) 3.95584 + 4.96046i 0.959431 + 1.20309i 0.979120 + 0.203283i \(0.0651610\pi\)
−0.0196889 + 0.999806i \(0.506268\pi\)
\(18\) −0.612872 2.68517i −0.144455 0.632901i
\(19\) −0.295245 0.142183i −0.0677339 0.0326189i 0.399710 0.916642i \(-0.369111\pi\)
−0.467444 + 0.884023i \(0.654825\pi\)
\(20\) 13.1963 6.35502i 2.95079 1.42102i
\(21\) 0.601982 + 2.63745i 0.131363 + 0.575540i
\(22\) −1.20342 5.27252i −0.256570 1.12411i
\(23\) −7.25581 + 3.49422i −1.51294 + 0.728594i −0.992146 0.125087i \(-0.960079\pi\)
−0.520796 + 0.853681i \(0.674365\pi\)
\(24\) −8.89792 4.28501i −1.81628 0.874675i
\(25\) −0.417407 1.82878i −0.0834815 0.365756i
\(26\) −2.00650 2.51607i −0.393507 0.493442i
\(27\) 0.623490 + 0.781831i 0.119991 + 0.150464i
\(28\) 13.6146 + 6.55642i 2.57291 + 1.23905i
\(29\) 0.646224 2.83129i 0.120001 0.525758i −0.878818 0.477158i \(-0.841667\pi\)
0.998818 0.0485999i \(-0.0154759\pi\)
\(30\) −4.50288 + 5.64643i −0.822110 + 1.03089i
\(31\) 0.351713 1.54096i 0.0631696 0.276764i −0.933472 0.358650i \(-0.883237\pi\)
0.996642 + 0.0818860i \(0.0260943\pi\)
\(32\) −21.9798 + 10.5849i −3.88552 + 1.87117i
\(33\) 1.22427 + 1.53518i 0.213117 + 0.267241i
\(34\) −15.7441 + 7.58196i −2.70009 + 1.30030i
\(35\) 4.42286 5.54610i 0.747601 0.937461i
\(36\) 5.58575 0.930958
\(37\) −1.56928 −0.257988 −0.128994 0.991645i \(-0.541175\pi\)
−0.128994 + 0.991645i \(0.541175\pi\)
\(38\) 0.562732 0.705643i 0.0912871 0.114470i
\(39\) 1.05274 + 0.506972i 0.168573 + 0.0811804i
\(40\) 5.76251 + 25.2472i 0.911133 + 3.99193i
\(41\) −0.656119 + 2.87465i −0.102469 + 0.448944i 0.897500 + 0.441015i \(0.145381\pi\)
−0.999969 + 0.00792983i \(0.997476\pi\)
\(42\) −7.45095 −1.14971
\(43\) 5.70080 3.24051i 0.869363 0.494173i
\(44\) 10.9680 1.65349
\(45\) 0.583489 2.55643i 0.0869814 0.381091i
\(46\) −4.93567 21.6246i −0.727725 3.18837i
\(47\) −2.07345 0.998523i −0.302444 0.145650i 0.276506 0.961012i \(-0.410823\pi\)
−0.578951 + 0.815363i \(0.696538\pi\)
\(48\) 9.99397 12.5320i 1.44251 1.80884i
\(49\) 0.318543 0.0455062
\(50\) 5.16640 0.730640
\(51\) 3.95584 4.96046i 0.553928 0.694604i
\(52\) 5.88033 2.83182i 0.815454 0.392702i
\(53\) 8.36199 + 10.4856i 1.14861 + 1.44031i 0.878669 + 0.477431i \(0.158432\pi\)
0.269939 + 0.962877i \(0.412997\pi\)
\(54\) −2.48147 + 1.19501i −0.337685 + 0.162621i
\(55\) 1.14572 5.01974i 0.154489 0.676861i
\(56\) −16.6579 + 20.8884i −2.22601 + 2.79132i
\(57\) −0.0729195 + 0.319481i −0.00965842 + 0.0423163i
\(58\) 7.20645 + 3.47044i 0.946253 + 0.455691i
\(59\) −1.99146 2.49721i −0.259266 0.325109i 0.635113 0.772419i \(-0.280953\pi\)
−0.894379 + 0.447310i \(0.852382\pi\)
\(60\) −9.13214 11.4513i −1.17895 1.47836i
\(61\) −1.55679 6.82075i −0.199327 0.873308i −0.971339 0.237700i \(-0.923607\pi\)
0.772012 0.635608i \(-0.219251\pi\)
\(62\) 3.92217 + 1.88882i 0.498117 + 0.239880i
\(63\) 2.43737 1.17378i 0.307080 0.147882i
\(64\) −7.81788 34.2524i −0.977235 4.28155i
\(65\) −0.681778 2.98707i −0.0845642 0.370500i
\(66\) −4.87254 + 2.34649i −0.599768 + 0.288833i
\(67\) 8.03294 + 3.86846i 0.981380 + 0.472608i 0.854580 0.519320i \(-0.173815\pi\)
0.126801 + 0.991928i \(0.459529\pi\)
\(68\) −7.88608 34.5512i −0.956328 4.18994i
\(69\) 5.02118 + 6.29636i 0.604479 + 0.757993i
\(70\) 12.1816 + 15.2752i 1.45597 + 1.82573i
\(71\) −8.21755 3.95737i −0.975244 0.469653i −0.122777 0.992434i \(-0.539180\pi\)
−0.852467 + 0.522781i \(0.824894\pi\)
\(72\) −2.19761 + 9.62834i −0.258990 + 1.13471i
\(73\) −1.74482 + 2.18793i −0.204215 + 0.256078i −0.873384 0.487033i \(-0.838079\pi\)
0.669168 + 0.743111i \(0.266651\pi\)
\(74\) 0.961767 4.21378i 0.111803 0.489842i
\(75\) −1.69005 + 0.813884i −0.195150 + 0.0939792i
\(76\) 1.14126 + 1.43109i 0.130911 + 0.164157i
\(77\) 4.78596 2.30479i 0.545410 0.262656i
\(78\) −2.00650 + 2.51607i −0.227191 + 0.284889i
\(79\) 5.62016 0.632317 0.316159 0.948706i \(-0.397607\pi\)
0.316159 + 0.948706i \(0.397607\pi\)
\(80\) −42.0311 −4.69922
\(81\) 0.623490 0.781831i 0.0692766 0.0868702i
\(82\) −7.31680 3.52358i −0.808005 0.389115i
\(83\) 1.56323 + 6.84897i 0.171587 + 0.751772i 0.985346 + 0.170569i \(0.0545606\pi\)
−0.813759 + 0.581203i \(0.802582\pi\)
\(84\) 3.36252 14.7322i 0.366881 1.60741i
\(85\) −16.6368 −1.80452
\(86\) 5.20746 + 17.2936i 0.561535 + 1.86482i
\(87\) −2.90411 −0.311353
\(88\) −4.31515 + 18.9059i −0.459997 + 2.01538i
\(89\) 2.11631 + 9.27214i 0.224328 + 0.982845i 0.954178 + 0.299238i \(0.0967325\pi\)
−0.729851 + 0.683607i \(0.760410\pi\)
\(90\) 6.50685 + 3.13353i 0.685882 + 0.330304i
\(91\) 1.97084 2.47136i 0.206600 0.259069i
\(92\) 44.9840 4.68990
\(93\) −1.58058 −0.163899
\(94\) 3.95197 4.95561i 0.407614 0.511132i
\(95\) 0.774185 0.372828i 0.0794297 0.0382513i
\(96\) 15.2105 + 19.0734i 1.55242 + 1.94667i
\(97\) 5.18586 2.49738i 0.526544 0.253570i −0.151675 0.988430i \(-0.548467\pi\)
0.678218 + 0.734860i \(0.262752\pi\)
\(98\) −0.195226 + 0.855343i −0.0197208 + 0.0864027i
\(99\) 1.22427 1.53518i 0.123043 0.154292i
\(100\) −2.33153 + 10.2151i −0.233153 + 1.02151i
\(101\) −9.47522 4.56303i −0.942820 0.454038i −0.101657 0.994820i \(-0.532414\pi\)
−0.841163 + 0.540782i \(0.818129\pi\)
\(102\) 10.8953 + 13.6622i 1.07879 + 1.35276i
\(103\) −0.557805 0.699466i −0.0549622 0.0689204i 0.753591 0.657344i \(-0.228320\pi\)
−0.808553 + 0.588424i \(0.799749\pi\)
\(104\) 2.56779 + 11.2502i 0.251793 + 1.10318i
\(105\) −6.39122 3.07785i −0.623720 0.300368i
\(106\) −33.2805 + 16.0270i −3.23248 + 1.55668i
\(107\) −0.000347833 0.00152396i −3.36263e−5 0.000147326i 0.974911 0.222595i \(-0.0714526\pi\)
−0.974945 + 0.222447i \(0.928595\pi\)
\(108\) −1.24295 5.44570i −0.119603 0.524013i
\(109\) −15.1592 + 7.30030i −1.45199 + 0.699242i −0.982939 0.183930i \(-0.941118\pi\)
−0.469051 + 0.883171i \(0.655404\pi\)
\(110\) 12.7767 + 6.15292i 1.21821 + 0.586658i
\(111\) 0.349197 + 1.52993i 0.0331443 + 0.145215i
\(112\) −27.0365 33.9027i −2.55471 3.20350i
\(113\) −2.02724 2.54208i −0.190707 0.239139i 0.677281 0.735725i \(-0.263158\pi\)
−0.867988 + 0.496586i \(0.834587\pi\)
\(114\) −0.813171 0.391602i −0.0761604 0.0366769i
\(115\) 4.69904 20.5878i 0.438188 1.91983i
\(116\) −10.1140 + 12.6826i −0.939061 + 1.17755i
\(117\) 0.260005 1.13915i 0.0240374 0.105315i
\(118\) 7.92594 3.81693i 0.729642 0.351377i
\(119\) −10.7016 13.4194i −0.981018 1.23016i
\(120\) 23.3319 11.2361i 2.12990 1.02571i
\(121\) −4.45445 + 5.58571i −0.404950 + 0.507792i
\(122\) 19.2690 1.74453
\(123\) 2.94857 0.265864
\(124\) −5.50463 + 6.90259i −0.494331 + 0.619871i
\(125\) −7.38089 3.55445i −0.660167 0.317920i
\(126\) 1.65799 + 7.26414i 0.147706 + 0.647141i
\(127\) −2.36592 + 10.3658i −0.209941 + 0.919812i 0.754664 + 0.656112i \(0.227800\pi\)
−0.964605 + 0.263700i \(0.915057\pi\)
\(128\) 47.9733 4.24028
\(129\) −4.42781 4.83678i −0.389847 0.425855i
\(130\) 8.43862 0.740116
\(131\) 4.12171 18.0584i 0.360115 1.57777i −0.392783 0.919631i \(-0.628488\pi\)
0.752898 0.658137i \(-0.228655\pi\)
\(132\) −2.44061 10.6930i −0.212428 0.930708i
\(133\) 0.798721 + 0.384644i 0.0692579 + 0.0333528i
\(134\) −15.3106 + 19.1989i −1.32264 + 1.65854i
\(135\) −2.62218 −0.225681
\(136\) 62.6596 5.37302
\(137\) −5.39157 + 6.76082i −0.460633 + 0.577615i −0.956850 0.290583i \(-0.906151\pi\)
0.496217 + 0.868199i \(0.334722\pi\)
\(138\) −19.9841 + 9.62385i −1.70116 + 0.819237i
\(139\) 2.14608 + 2.69110i 0.182028 + 0.228256i 0.864471 0.502683i \(-0.167654\pi\)
−0.682443 + 0.730939i \(0.739082\pi\)
\(140\) −35.6998 + 17.1921i −3.01718 + 1.45300i
\(141\) −0.512101 + 2.24366i −0.0431267 + 0.188950i
\(142\) 15.6625 19.6402i 1.31437 1.64817i
\(143\) 0.510538 2.23681i 0.0426933 0.187052i
\(144\) −14.4417 6.95476i −1.20348 0.579563i
\(145\) 4.74792 + 5.95371i 0.394294 + 0.494428i
\(146\) −4.80562 6.02605i −0.397716 0.498720i
\(147\) −0.0708826 0.310557i −0.00584630 0.0256143i
\(148\) 7.89752 + 3.80325i 0.649172 + 0.312625i
\(149\) −10.1853 + 4.90499i −0.834414 + 0.401833i −0.801769 0.597634i \(-0.796107\pi\)
−0.0326453 + 0.999467i \(0.510393\pi\)
\(150\) −1.14963 5.03687i −0.0938671 0.411259i
\(151\) 2.16756 + 9.49670i 0.176394 + 0.772831i 0.983276 + 0.182119i \(0.0582957\pi\)
−0.806883 + 0.590711i \(0.798847\pi\)
\(152\) −2.91583 + 1.40419i −0.236505 + 0.113895i
\(153\) −5.71635 2.75285i −0.462139 0.222555i
\(154\) 3.25558 + 14.2636i 0.262342 + 1.14940i
\(155\) 2.58410 + 3.24036i 0.207560 + 0.260272i
\(156\) −4.06931 5.10276i −0.325806 0.408547i
\(157\) 18.4951 + 8.90679i 1.47607 + 0.710839i 0.986898 0.161347i \(-0.0515838\pi\)
0.489174 + 0.872186i \(0.337298\pi\)
\(158\) −3.44444 + 15.0911i −0.274025 + 1.20058i
\(159\) 8.36199 10.4856i 0.663149 0.831563i
\(160\) 14.2347 62.3662i 1.12535 4.93048i
\(161\) 19.6290 9.45283i 1.54698 0.744988i
\(162\) 1.71723 + 2.15334i 0.134918 + 0.169182i
\(163\) 0.0702984 0.0338539i 0.00550620 0.00265164i −0.431129 0.902290i \(-0.641884\pi\)
0.436635 + 0.899639i \(0.356170\pi\)
\(164\) 10.2689 12.8768i 0.801864 1.00551i
\(165\) −5.14883 −0.400836
\(166\) −19.3487 −1.50175
\(167\) −6.17942 + 7.74875i −0.478178 + 0.599616i −0.961152 0.276018i \(-0.910985\pi\)
0.482974 + 0.875635i \(0.339556\pi\)
\(168\) 24.0714 + 11.5922i 1.85715 + 0.894355i
\(169\) 2.58897 + 11.3430i 0.199152 + 0.872540i
\(170\) 10.1963 44.6727i 0.782018 3.42624i
\(171\) 0.327697 0.0250596
\(172\) −36.5433 + 2.49190i −2.78640 + 0.190006i
\(173\) −0.369715 −0.0281089 −0.0140544 0.999901i \(-0.504474\pi\)
−0.0140544 + 0.999901i \(0.504474\pi\)
\(174\) 1.77985 7.79801i 0.134930 0.591166i
\(175\) 1.12920 + 4.94737i 0.0853598 + 0.373986i
\(176\) −28.3573 13.6562i −2.13751 1.02937i
\(177\) −1.99146 + 2.49721i −0.149687 + 0.187702i
\(178\) −26.1943 −1.96335
\(179\) 7.40224 0.553269 0.276635 0.960975i \(-0.410781\pi\)
0.276635 + 0.960975i \(0.410781\pi\)
\(180\) −9.13214 + 11.4513i −0.680670 + 0.853533i
\(181\) 17.7706 8.55785i 1.32087 0.636100i 0.365311 0.930885i \(-0.380963\pi\)
0.955563 + 0.294786i \(0.0952482\pi\)
\(182\) 5.42814 + 6.80667i 0.402361 + 0.504544i
\(183\) −6.30332 + 3.03552i −0.465955 + 0.224392i
\(184\) −17.6981 + 77.5403i −1.30472 + 5.71635i
\(185\) 2.56561 3.21718i 0.188628 0.236532i
\(186\) 0.968697 4.24414i 0.0710283 0.311195i
\(187\) −11.2245 5.40541i −0.820813 0.395283i
\(188\) 8.01485 + 10.0503i 0.584543 + 0.732994i
\(189\) −1.68671 2.11507i −0.122690 0.153849i
\(190\) 0.526629 + 2.30731i 0.0382057 + 0.167390i
\(191\) −21.4879 10.3480i −1.55481 0.748756i −0.558096 0.829776i \(-0.688468\pi\)
−0.996712 + 0.0810198i \(0.974182\pi\)
\(192\) −31.6540 + 15.2437i −2.28443 + 1.10012i
\(193\) 1.82550 + 7.99806i 0.131403 + 0.575713i 0.997164 + 0.0752560i \(0.0239774\pi\)
−0.865762 + 0.500457i \(0.833165\pi\)
\(194\) 3.52761 + 15.4555i 0.253268 + 1.10964i
\(195\) −2.76046 + 1.32937i −0.197681 + 0.0951981i
\(196\) −1.60310 0.772011i −0.114507 0.0551436i
\(197\) 1.80480 + 7.90734i 0.128587 + 0.563375i 0.997640 + 0.0686569i \(0.0218714\pi\)
−0.869054 + 0.494718i \(0.835271\pi\)
\(198\) 3.37190 + 4.22823i 0.239631 + 0.300487i
\(199\) 6.51097 + 8.16450i 0.461551 + 0.578766i 0.957080 0.289825i \(-0.0935972\pi\)
−0.495529 + 0.868591i \(0.665026\pi\)
\(200\) −16.6908 8.03788i −1.18022 0.568364i
\(201\) 1.98397 8.69235i 0.139939 0.613111i
\(202\) 18.0596 22.6460i 1.27067 1.59337i
\(203\) −1.74822 + 7.65944i −0.122701 + 0.537587i
\(204\) −31.9301 + 15.3767i −2.23555 + 1.07659i
\(205\) −4.82063 6.04487i −0.336687 0.422192i
\(206\) 2.22005 1.06912i 0.154678 0.0744890i
\(207\) 5.02118 6.29636i 0.348996 0.437627i
\(208\) −18.7292 −1.29864
\(209\) 0.643457 0.0445088
\(210\) 12.1816 15.2752i 0.840607 1.05409i
\(211\) 7.79717 + 3.75492i 0.536779 + 0.258499i 0.682575 0.730815i \(-0.260860\pi\)
−0.145796 + 0.989315i \(0.546574\pi\)
\(212\) −16.6699 73.0355i −1.14489 5.01610i
\(213\) −2.02957 + 8.89212i −0.139064 + 0.609278i
\(214\) 0.00430526 0.000294301
\(215\) −2.67686 + 16.9851i −0.182560 + 1.15838i
\(216\) 9.87595 0.671973
\(217\) −0.951483 + 4.16872i −0.0645909 + 0.282991i
\(218\) −10.3119 45.1792i −0.698408 3.05992i
\(219\) 2.52133 + 1.21421i 0.170376 + 0.0820487i
\(220\) −17.9316 + 22.4855i −1.20895 + 1.51597i
\(221\) −7.41343 −0.498681
\(222\) −4.32214 −0.290083
\(223\) −2.11902 + 2.65717i −0.141900 + 0.177937i −0.847703 0.530471i \(-0.822015\pi\)
0.705803 + 0.708408i \(0.250586\pi\)
\(224\) 59.4616 28.6352i 3.97295 1.91327i
\(225\) 1.16955 + 1.46657i 0.0779700 + 0.0977712i
\(226\) 8.06835 3.88551i 0.536699 0.258460i
\(227\) 0.425713 1.86517i 0.0282556 0.123796i −0.958833 0.283970i \(-0.908348\pi\)
0.987089 + 0.160174i \(0.0512056\pi\)
\(228\) 1.14126 1.43109i 0.0755816 0.0947763i
\(229\) 5.51359 24.1566i 0.364348 1.59631i −0.377675 0.925938i \(-0.623276\pi\)
0.742023 0.670375i \(-0.233867\pi\)
\(230\) 52.4019 + 25.2354i 3.45528 + 1.66398i
\(231\) −3.31198 4.15310i −0.217913 0.273254i
\(232\) −17.8822 22.4236i −1.17402 1.47218i
\(233\) −1.18430 5.18876i −0.0775861 0.339927i 0.921205 0.389077i \(-0.127206\pi\)
−0.998791 + 0.0491499i \(0.984349\pi\)
\(234\) 2.89947 + 1.39631i 0.189545 + 0.0912799i
\(235\) 5.43696 2.61830i 0.354668 0.170799i
\(236\) 3.97003 + 17.3939i 0.258427 + 1.13224i
\(237\) −1.25060 5.47925i −0.0812354 0.355915i
\(238\) 42.5922 20.5113i 2.76084 1.32955i
\(239\) 17.8130 + 8.57828i 1.15223 + 0.554883i 0.909702 0.415263i \(-0.136310\pi\)
0.242524 + 0.970145i \(0.422025\pi\)
\(240\) 9.35280 + 40.9773i 0.603720 + 2.64507i
\(241\) 7.57212 + 9.49514i 0.487763 + 0.611635i 0.963420 0.267995i \(-0.0863611\pi\)
−0.475657 + 0.879631i \(0.657790\pi\)
\(242\) −12.2686 15.3843i −0.788653 0.988940i
\(243\) −0.900969 0.433884i −0.0577972 0.0278337i
\(244\) −8.69585 + 38.0990i −0.556695 + 2.43904i
\(245\) −0.520787 + 0.653046i −0.0332718 + 0.0417216i
\(246\) −1.80710 + 7.91742i −0.115216 + 0.504796i
\(247\) 0.344979 0.166133i 0.0219505 0.0105708i
\(248\) −9.73254 12.2042i −0.618017 0.774969i
\(249\) 6.32940 3.04808i 0.401109 0.193164i
\(250\) 14.0679 17.6405i 0.889729 1.11568i
\(251\) 10.8959 0.687746 0.343873 0.939016i \(-0.388261\pi\)
0.343873 + 0.939016i \(0.388261\pi\)
\(252\) −15.1110 −0.951904
\(253\) 9.85944 12.3633i 0.619858 0.777277i
\(254\) −26.3838 12.7058i −1.65547 0.797231i
\(255\) 3.70205 + 16.2197i 0.231831 + 1.01572i
\(256\) −13.7657 + 60.3116i −0.860358 + 3.76948i
\(257\) 8.61920 0.537651 0.268826 0.963189i \(-0.413364\pi\)
0.268826 + 0.963189i \(0.413364\pi\)
\(258\) 15.7013 8.92509i 0.977518 0.555652i
\(259\) 4.24534 0.263792
\(260\) −3.80824 + 16.6850i −0.236177 + 1.03476i
\(261\) 0.646224 + 2.83129i 0.0400003 + 0.175253i
\(262\) 45.9637 + 22.1350i 2.83965 + 1.36750i
\(263\) −12.9400 + 16.2262i −0.797914 + 1.00055i 0.201862 + 0.979414i \(0.435301\pi\)
−0.999777 + 0.0211391i \(0.993271\pi\)
\(264\) 19.3921 1.19350
\(265\) −35.1676 −2.16033
\(266\) −1.52235 + 1.90896i −0.0933411 + 0.117046i
\(267\) 8.56875 4.12649i 0.524399 0.252537i
\(268\) −31.0510 38.9367i −1.89674 2.37844i
\(269\) 21.8108 10.5035i 1.32983 0.640411i 0.372128 0.928181i \(-0.378628\pi\)
0.957700 + 0.287770i \(0.0929139\pi\)
\(270\) 1.60706 7.04099i 0.0978025 0.428501i
\(271\) −10.3718 + 13.0058i −0.630040 + 0.790045i −0.989718 0.143031i \(-0.954315\pi\)
0.359678 + 0.933076i \(0.382886\pi\)
\(272\) −22.6302 + 99.1494i −1.37216 + 6.01182i
\(273\) −2.84795 1.37150i −0.172366 0.0830070i
\(274\) −14.8496 18.6208i −0.897097 1.12492i
\(275\) 2.29649 + 2.87971i 0.138484 + 0.173653i
\(276\) −10.0099 43.8561i −0.602523 2.63983i
\(277\) 7.64216 + 3.68027i 0.459173 + 0.221126i 0.649147 0.760663i \(-0.275126\pi\)
−0.189974 + 0.981789i \(0.560840\pi\)
\(278\) −8.54133 + 4.11329i −0.512275 + 0.246699i
\(279\) 0.351713 + 1.54096i 0.0210565 + 0.0922546i
\(280\) −15.5892 68.3008i −0.931633 4.08175i
\(281\) 12.0743 5.81467i 0.720291 0.346874i −0.0375662 0.999294i \(-0.511961\pi\)
0.757857 + 0.652420i \(0.226246\pi\)
\(282\) −5.71076 2.75016i −0.340071 0.163769i
\(283\) −7.45922 32.6810i −0.443405 1.94268i −0.305252 0.952272i \(-0.598741\pi\)
−0.138152 0.990411i \(-0.544116\pi\)
\(284\) 31.7646 + 39.8316i 1.88488 + 2.36357i
\(285\) −0.535752 0.671812i −0.0317352 0.0397947i
\(286\) 5.69332 + 2.74176i 0.336653 + 0.162124i
\(287\) 1.77499 7.77673i 0.104774 0.459046i
\(288\) 15.2105 19.0734i 0.896288 1.12391i
\(289\) −5.17468 + 22.6718i −0.304393 + 1.33363i
\(290\) −18.8966 + 9.10012i −1.10965 + 0.534377i
\(291\) −3.58872 4.50012i −0.210375 0.263802i
\(292\) 14.0835 6.78227i 0.824176 0.396902i
\(293\) 10.5863 13.2748i 0.618457 0.775521i −0.369669 0.929163i \(-0.620529\pi\)
0.988127 + 0.153642i \(0.0491004\pi\)
\(294\) 0.877340 0.0511675
\(295\) 8.37537 0.487633
\(296\) −9.66291 + 12.1169i −0.561645 + 0.704281i
\(297\) −1.76912 0.851961i −0.102655 0.0494358i
\(298\) −6.92843 30.3555i −0.401353 1.75844i
\(299\) 2.09391 9.17401i 0.121094 0.530547i
\(300\) 10.4778 0.604937
\(301\) −15.4223 + 8.76649i −0.888924 + 0.505292i
\(302\) −26.8287 −1.54382
\(303\) −2.34019 + 10.2530i −0.134440 + 0.589021i
\(304\) −1.16883 5.12099i −0.0670371 0.293709i
\(305\) 16.5284 + 7.95967i 0.946415 + 0.455770i
\(306\) 10.8953 13.6622i 0.622840 0.781017i
\(307\) −32.4960 −1.85465 −0.927323 0.374263i \(-0.877896\pi\)
−0.927323 + 0.374263i \(0.877896\pi\)
\(308\) −29.6715 −1.69069
\(309\) −0.557805 + 0.699466i −0.0317324 + 0.0397912i
\(310\) −10.2846 + 4.95282i −0.584128 + 0.281301i
\(311\) −4.98104 6.24602i −0.282449 0.354180i 0.620287 0.784375i \(-0.287016\pi\)
−0.902736 + 0.430195i \(0.858445\pi\)
\(312\) 10.3968 5.00683i 0.588602 0.283456i
\(313\) 1.14632 5.02238i 0.0647941 0.283882i −0.932143 0.362091i \(-0.882063\pi\)
0.996937 + 0.0782092i \(0.0249202\pi\)
\(314\) −35.2514 + 44.2038i −1.98935 + 2.49457i
\(315\) −1.57850 + 6.91587i −0.0889385 + 0.389665i
\(316\) −28.2839 13.6208i −1.59109 0.766231i
\(317\) 0.196425 + 0.246310i 0.0110323 + 0.0138341i 0.787317 0.616548i \(-0.211470\pi\)
−0.776285 + 0.630382i \(0.782898\pi\)
\(318\) 23.0308 + 28.8797i 1.29150 + 1.61949i
\(319\) 1.26891 + 5.55944i 0.0710451 + 0.311269i
\(320\) 83.0023 + 39.9718i 4.63997 + 2.23449i
\(321\) −0.00140835 0.000678224i −7.86062e−5 3.78548e-5i
\(322\) 13.3524 + 58.5006i 0.744099 + 3.26011i
\(323\) −0.462650 2.02700i −0.0257425 0.112785i
\(324\) −5.03258 + 2.42357i −0.279588 + 0.134643i
\(325\) 1.97474 + 0.950983i 0.109539 + 0.0527511i
\(326\) 0.0478196 + 0.209511i 0.00264848 + 0.0116038i
\(327\) 10.4905 + 13.1547i 0.580126 + 0.727455i
\(328\) 18.1560 + 22.7669i 1.00250 + 1.25709i
\(329\) 5.60928 + 2.70129i 0.309249 + 0.148927i
\(330\) 3.15558 13.8255i 0.173709 0.761068i
\(331\) −13.5197 + 16.9531i −0.743109 + 0.931829i −0.999395 0.0347717i \(-0.988930\pi\)
0.256286 + 0.966601i \(0.417501\pi\)
\(332\) 8.73182 38.2566i 0.479221 2.09960i
\(333\) 1.41387 0.680884i 0.0774796 0.0373122i
\(334\) −17.0195 21.3418i −0.931266 1.16777i
\(335\) −21.0638 + 10.1438i −1.15084 + 0.554215i
\(336\) −27.0365 + 33.9027i −1.47496 + 1.84954i
\(337\) −12.1564 −0.662203 −0.331101 0.943595i \(-0.607420\pi\)
−0.331101 + 0.943595i \(0.607420\pi\)
\(338\) −32.0446 −1.74300
\(339\) −2.02724 + 2.54208i −0.110105 + 0.138067i
\(340\) 83.7263 + 40.3205i 4.54070 + 2.18668i
\(341\) 0.690614 + 3.02578i 0.0373988 + 0.163855i
\(342\) −0.200837 + 0.879923i −0.0108600 + 0.0475808i
\(343\) 18.0752 0.975970
\(344\) 10.0819 63.9714i 0.543580 3.44910i
\(345\) −21.1173 −1.13692
\(346\) 0.226588 0.992746i 0.0121814 0.0533704i
\(347\) 4.19123 + 18.3630i 0.224997 + 0.985776i 0.953656 + 0.300899i \(0.0972868\pi\)
−0.728659 + 0.684877i \(0.759856\pi\)
\(348\) 14.6152 + 7.03829i 0.783455 + 0.377292i
\(349\) 11.9690 15.0087i 0.640687 0.803396i −0.350402 0.936599i \(-0.613955\pi\)
0.991089 + 0.133204i \(0.0425264\pi\)
\(350\) −13.9766 −0.747079
\(351\) −1.16845 −0.0623673
\(352\) 29.8669 37.4519i 1.59191 1.99619i
\(353\) 8.83064 4.25261i 0.470007 0.226344i −0.183861 0.982952i \(-0.558859\pi\)
0.653868 + 0.756609i \(0.273145\pi\)
\(354\) −5.48492 6.87788i −0.291520 0.365555i
\(355\) 21.5479 10.3769i 1.14364 0.550749i
\(356\) 11.8211 51.7918i 0.626520 2.74496i
\(357\) −10.7016 + 13.4194i −0.566391 + 0.710232i
\(358\) −4.53663 + 19.8763i −0.239768 + 1.05049i
\(359\) 16.3867 + 7.89144i 0.864859 + 0.416494i 0.813071 0.582164i \(-0.197794\pi\)
0.0517878 + 0.998658i \(0.483508\pi\)
\(360\) −16.1462 20.2467i −0.850979 1.06709i
\(361\) −11.7794 14.7708i −0.619966 0.777413i
\(362\) 12.0882 + 52.9618i 0.635341 + 2.78361i
\(363\) 6.43687 + 3.09983i 0.337848 + 0.162699i
\(364\) −15.9079 + 7.66086i −0.833802 + 0.401538i
\(365\) −1.63288 7.15410i −0.0854687 0.374463i
\(366\) −4.28775 18.7859i −0.224125 0.981954i
\(367\) −15.7649 + 7.59197i −0.822920 + 0.396298i −0.797455 0.603378i \(-0.793821\pi\)
−0.0254652 + 0.999676i \(0.508107\pi\)
\(368\) −116.304 56.0091i −6.06277 2.91967i
\(369\) −0.656119 2.87465i −0.0341562 0.149648i
\(370\) 7.06627 + 8.86082i 0.367358 + 0.460652i
\(371\) −22.6215 28.3665i −1.17445 1.47272i
\(372\) 7.95443 + 3.83065i 0.412418 + 0.198610i
\(373\) −2.31406 + 10.1386i −0.119817 + 0.524954i 0.879022 + 0.476782i \(0.158197\pi\)
−0.998839 + 0.0481724i \(0.984660\pi\)
\(374\) 21.3936 26.8267i 1.10624 1.38718i
\(375\) −1.82293 + 7.98678i −0.0941357 + 0.412436i
\(376\) −20.4773 + 9.86137i −1.05604 + 0.508561i
\(377\) 2.11569 + 2.65299i 0.108964 + 0.136636i
\(378\) 6.71307 3.23285i 0.345283 0.166280i
\(379\) 8.04655 10.0900i 0.413323 0.518291i −0.530972 0.847389i \(-0.678173\pi\)
0.944296 + 0.329098i \(0.106745\pi\)
\(380\) −4.79972 −0.246221
\(381\) 10.6323 0.544711
\(382\) 40.9555 51.3566i 2.09547 2.62763i
\(383\) 30.5562 + 14.7151i 1.56135 + 0.751907i 0.997272 0.0738150i \(-0.0235174\pi\)
0.564078 + 0.825722i \(0.309232\pi\)
\(384\) −10.6751 46.7705i −0.544759 2.38675i
\(385\) −3.09950 + 13.5798i −0.157965 + 0.692091i
\(386\) −22.5949 −1.15005
\(387\) −3.73023 + 5.39308i −0.189618 + 0.274146i
\(388\) −32.1508 −1.63221
\(389\) 7.02622 30.7839i 0.356243 1.56080i −0.406222 0.913775i \(-0.633154\pi\)
0.762465 0.647029i \(-0.223989\pi\)
\(390\) −1.87777 8.22705i −0.0950846 0.416593i
\(391\) −46.0357 22.1696i −2.32813 1.12117i
\(392\) 1.96145 2.45958i 0.0990681 0.124227i
\(393\) −18.5228 −0.934351
\(394\) −22.3387 −1.12541
\(395\) −9.18840 + 11.5219i −0.462319 + 0.579729i
\(396\) −9.88184 + 4.75884i −0.496581 + 0.239141i
\(397\) 12.5619 + 15.7521i 0.630462 + 0.790575i 0.989774 0.142643i \(-0.0455600\pi\)
−0.359312 + 0.933218i \(0.616989\pi\)
\(398\) −25.9135 + 12.4793i −1.29893 + 0.625529i
\(399\) 0.197268 0.864286i 0.00987574 0.0432684i
\(400\) 18.7468 23.5077i 0.937340 1.17539i
\(401\) −2.65451 + 11.6302i −0.132560 + 0.580783i 0.864396 + 0.502812i \(0.167701\pi\)
−0.996956 + 0.0779707i \(0.975156\pi\)
\(402\) 22.1245 + 10.6546i 1.10347 + 0.531404i
\(403\) 1.15148 + 1.44391i 0.0573594 + 0.0719265i
\(404\) 36.6261 + 45.9276i 1.82221 + 2.28498i
\(405\) 0.583489 + 2.55643i 0.0289938 + 0.127030i
\(406\) −19.4955 9.38852i −0.967544 0.465945i
\(407\) 2.77623 1.33696i 0.137613 0.0662708i
\(408\) −13.9431 61.0886i −0.690285 3.02434i
\(409\) 2.05865 + 9.01955i 0.101794 + 0.445988i 0.999980 + 0.00637209i \(0.00202831\pi\)
−0.898186 + 0.439616i \(0.855115\pi\)
\(410\) 19.1859 9.23946i 0.947526 0.456304i
\(411\) 7.79104 + 3.75197i 0.384304 + 0.185071i
\(412\) 1.11200 + 4.87200i 0.0547844 + 0.240026i
\(413\) 5.38746 + 6.75566i 0.265099 + 0.332424i
\(414\) 13.8294 + 17.3416i 0.679680 + 0.852292i
\(415\) −16.5968 7.99260i −0.814705 0.392341i
\(416\) 6.34301 27.7906i 0.310992 1.36254i
\(417\) 2.14608 2.69110i 0.105094 0.131784i
\(418\) −0.394357 + 1.72779i −0.0192886 + 0.0845090i
\(419\) −0.480486 + 0.231390i −0.0234733 + 0.0113041i −0.445584 0.895240i \(-0.647004\pi\)
0.422110 + 0.906544i \(0.361289\pi\)
\(420\) 24.7050 + 30.9791i 1.20548 + 1.51163i
\(421\) −6.88303 + 3.31469i −0.335458 + 0.161548i −0.594028 0.804444i \(-0.702463\pi\)
0.258570 + 0.965993i \(0.416749\pi\)
\(422\) −14.8613 + 18.6354i −0.723435 + 0.907159i
\(423\) 2.30136 0.111896
\(424\) 132.452 6.43245
\(425\) 7.42040 9.30489i 0.359942 0.451353i
\(426\) −22.6330 10.8995i −1.09657 0.528081i
\(427\) 4.21156 + 18.4521i 0.203812 + 0.892957i
\(428\) −0.00194291 + 0.00851243i −9.39139e−5 + 0.000411464i
\(429\) −2.29434 −0.110772
\(430\) −43.9674 17.5975i −2.12029 0.848628i
\(431\) −12.7231 −0.612848 −0.306424 0.951895i \(-0.599133\pi\)
−0.306424 + 0.951895i \(0.599133\pi\)
\(432\) −3.56681 + 15.6272i −0.171608 + 0.751864i
\(433\) −7.51030 32.9048i −0.360922 1.58130i −0.750860 0.660462i \(-0.770361\pi\)
0.389937 0.920841i \(-0.372497\pi\)
\(434\) −10.6106 5.10979i −0.509324 0.245278i
\(435\) 4.74792 5.95371i 0.227645 0.285458i
\(436\) 93.9828 4.50096
\(437\) 2.63906 0.126243
\(438\) −4.80562 + 6.02605i −0.229621 + 0.287936i
\(439\) 18.6548 8.98366i 0.890343 0.428767i 0.0679514 0.997689i \(-0.478354\pi\)
0.822391 + 0.568922i \(0.192639\pi\)
\(440\) −31.7042 39.7558i −1.51144 1.89528i
\(441\) −0.286998 + 0.138211i −0.0136666 + 0.00658147i
\(442\) 4.54349 19.9063i 0.216112 0.946847i
\(443\) −0.839987 + 1.05331i −0.0399090 + 0.0500443i −0.801385 0.598148i \(-0.795903\pi\)
0.761476 + 0.648193i \(0.224475\pi\)
\(444\) 1.95053 8.54582i 0.0925679 0.405567i
\(445\) −22.4688 10.8204i −1.06512 0.512936i
\(446\) −5.83626 7.31843i −0.276355 0.346538i
\(447\) 7.04846 + 8.83849i 0.333381 + 0.418046i
\(448\) 21.1496 + 92.6623i 0.999223 + 4.37788i
\(449\) −10.4959 5.05458i −0.495334 0.238540i 0.169502 0.985530i \(-0.445784\pi\)
−0.664836 + 0.746990i \(0.731498\pi\)
\(450\) −4.65477 + 2.24162i −0.219428 + 0.105671i
\(451\) −1.28834 5.64457i −0.0606654 0.265793i
\(452\) 4.04136 + 17.7064i 0.190090 + 0.832837i
\(453\) 8.77627 4.22643i 0.412345 0.198575i
\(454\) 4.74739 + 2.28622i 0.222806 + 0.107298i
\(455\) 1.84440 + 8.08085i 0.0864669 + 0.378836i
\(456\) 2.01781 + 2.53026i 0.0944928 + 0.118490i
\(457\) −22.2696 27.9253i −1.04173 1.30629i −0.950590 0.310450i \(-0.899520\pi\)
−0.0911403 0.995838i \(-0.529051\pi\)
\(458\) 61.4854 + 29.6098i 2.87303 + 1.38358i
\(459\) −1.41182 + 6.18559i −0.0658982 + 0.288719i
\(460\) −73.5443 + 92.2216i −3.42902 + 4.29986i
\(461\) −3.88517 + 17.0221i −0.180951 + 0.792796i 0.800228 + 0.599695i \(0.204712\pi\)
−0.981179 + 0.193101i \(0.938146\pi\)
\(462\) 13.1816 6.34792i 0.613263 0.295332i
\(463\) 21.3512 + 26.7735i 0.992273 + 1.24427i 0.969642 + 0.244528i \(0.0786329\pi\)
0.0226310 + 0.999744i \(0.492796\pi\)
\(464\) 41.9402 20.1973i 1.94703 0.937638i
\(465\) 2.58410 3.24036i 0.119835 0.150268i
\(466\) 14.6585 0.679043
\(467\) −17.9731 −0.831696 −0.415848 0.909434i \(-0.636515\pi\)
−0.415848 + 0.909434i \(0.636515\pi\)
\(468\) −4.06931 + 5.10276i −0.188104 + 0.235875i
\(469\) −21.7314 10.4653i −1.00346 0.483241i
\(470\) 3.69842 + 16.2039i 0.170596 + 0.747428i
\(471\) 4.56792 20.0134i 0.210479 0.922167i
\(472\) −31.5443 −1.45194
\(473\) −7.32458 + 10.5897i −0.336785 + 0.486915i
\(474\) 15.4792 0.710982
\(475\) −0.136783 + 0.599286i −0.00627605 + 0.0274972i
\(476\) 21.3341 + 93.4706i 0.977845 + 4.28422i
\(477\) −12.0834 5.81907i −0.553262 0.266437i
\(478\) −33.9512 + 42.5735i −1.55289 + 1.94727i
\(479\) −39.3547 −1.79816 −0.899082 0.437780i \(-0.855765\pi\)
−0.899082 + 0.437780i \(0.855765\pi\)
\(480\) −63.9700 −2.91982
\(481\) 1.14325 1.43358i 0.0521275 0.0653658i
\(482\) −30.1368 + 14.5131i −1.37269 + 0.661054i
\(483\) −13.5837 17.0334i −0.618080 0.775047i
\(484\) 35.9547 17.3149i 1.63431 0.787041i
\(485\) −3.35849 + 14.7145i −0.152501 + 0.668150i
\(486\) 1.71723 2.15334i 0.0778951 0.0976774i
\(487\) 6.18074 27.0796i 0.280076 1.22709i −0.617620 0.786477i \(-0.711903\pi\)
0.897696 0.440616i \(-0.145240\pi\)
\(488\) −62.2513 29.9787i −2.81798 1.35707i
\(489\) −0.0486480 0.0610027i −0.00219994 0.00275864i
\(490\) −1.43436 1.79863i −0.0647979 0.0812540i
\(491\) −6.57126 28.7905i −0.296557 1.29930i −0.875217 0.483731i \(-0.839281\pi\)
0.578660 0.815569i \(-0.303576\pi\)
\(492\) −14.8389 7.14606i −0.668991 0.322169i
\(493\) 16.6009 7.99456i 0.747666 0.360057i
\(494\) 0.234668 + 1.02815i 0.0105582 + 0.0462585i
\(495\) 1.14572 + 5.01974i 0.0514964 + 0.225620i
\(496\) 22.8263 10.9926i 1.02493 0.493582i
\(497\) 22.2308 + 10.7058i 0.997187 + 0.480220i
\(498\) 4.30549 + 18.8636i 0.192934 + 0.845298i
\(499\) 17.7974 + 22.3172i 0.796720 + 0.999056i 0.999802 + 0.0198940i \(0.00633289\pi\)
−0.203082 + 0.979162i \(0.565096\pi\)
\(500\) 28.5305 + 35.7762i 1.27592 + 1.59996i
\(501\) 8.92953 + 4.30023i 0.398942 + 0.192120i
\(502\) −6.67783 + 29.2575i −0.298046 + 1.30582i
\(503\) 1.74364 2.18645i 0.0777450 0.0974891i −0.741438 0.671021i \(-0.765856\pi\)
0.819183 + 0.573532i \(0.194427\pi\)
\(504\) 5.94514 26.0474i 0.264818 1.16024i
\(505\) 24.8457 11.9651i 1.10562 0.532438i
\(506\) 27.1551 + 34.0514i 1.20719 + 1.51377i
\(507\) 10.4825 5.04812i 0.465545 0.224195i
\(508\) 37.0288 46.4326i 1.64289 2.06011i
\(509\) 0.681837 0.0302219 0.0151109 0.999886i \(-0.495190\pi\)
0.0151109 + 0.999886i \(0.495190\pi\)
\(510\) −45.8216 −2.02901
\(511\) 4.72022 5.91897i 0.208810 0.261840i
\(512\) −67.0654 32.2970i −2.96390 1.42734i
\(513\) −0.0729195 0.319481i −0.00321947 0.0141054i
\(514\) −5.28247 + 23.1440i −0.233000 + 1.02084i
\(515\) 2.34593 0.103374
\(516\) 10.5611 + 35.0726i 0.464926 + 1.54399i
\(517\) 4.51889 0.198740
\(518\) −2.60185 + 11.3994i −0.114319 + 0.500863i
\(519\) 0.0822692 + 0.360445i 0.00361122 + 0.0158218i
\(520\) −27.2622 13.1288i −1.19553 0.575735i
\(521\) 17.8979 22.4433i 0.784121 0.983257i −0.215855 0.976425i \(-0.569254\pi\)
0.999977 0.00683164i \(-0.00217459\pi\)
\(522\) −7.99856 −0.350087
\(523\) 22.8400 0.998725 0.499362 0.866393i \(-0.333568\pi\)
0.499362 + 0.866393i \(0.333568\pi\)
\(524\) −64.5085 + 80.8911i −2.81807 + 3.53375i
\(525\) 4.57205 2.20178i 0.199541 0.0960938i
\(526\) −35.6396 44.6907i −1.55396 1.94861i
\(527\) 9.03518 4.35111i 0.393578 0.189537i
\(528\) −7.00368 + 30.6851i −0.304796 + 1.33540i
\(529\) 26.0970 32.7246i 1.13465 1.42281i
\(530\) 21.5532 94.4309i 0.936213 4.10182i
\(531\) 2.87774 + 1.38585i 0.124883 + 0.0601406i
\(532\) −3.08742 3.87150i −0.133857 0.167851i
\(533\) −2.14809 2.69361i −0.0930439 0.116673i
\(534\) 5.82878 + 25.5375i 0.252236 + 1.10512i
\(535\) 0.00369293 + 0.00177842i 0.000159659 + 7.68879e-5i
\(536\) 79.3330 38.2047i 3.42666 1.65019i
\(537\) −1.64715 7.21665i −0.0710799 0.311421i
\(538\) 14.8365 + 65.0030i 0.639647 + 2.80248i
\(539\) −0.563540 + 0.271387i −0.0242734 + 0.0116895i
\(540\) 13.1963 + 6.35502i 0.567879 + 0.273476i
\(541\) 0.0902704 + 0.395500i 0.00388103 + 0.0170039i 0.976831 0.214011i \(-0.0686527\pi\)
−0.972950 + 0.231014i \(0.925796\pi\)
\(542\) −28.5662 35.8208i −1.22702 1.53864i
\(543\) −12.2976 15.4207i −0.527741 0.661766i
\(544\) −139.455 67.1579i −5.97907 2.87937i
\(545\) 9.81748 43.0132i 0.420535 1.84248i
\(546\) 5.42814 6.80667i 0.232303 0.291299i
\(547\) −8.60953 + 37.7208i −0.368117 + 1.61283i 0.363831 + 0.931465i \(0.381468\pi\)
−0.731948 + 0.681360i \(0.761389\pi\)
\(548\) 43.5188 20.9576i 1.85903 0.895262i
\(549\) 4.36204 + 5.46982i 0.186167 + 0.233446i
\(550\) −9.13997 + 4.40158i −0.389730 + 0.187684i
\(551\) −0.593355 + 0.744043i −0.0252778 + 0.0316973i
\(552\) 79.5344 3.38521
\(553\) −15.2041 −0.646544
\(554\) −14.5658 + 18.2650i −0.618843 + 0.776004i
\(555\) −3.70742 1.78540i −0.157371 0.0757859i
\(556\) −4.27827 18.7443i −0.181439 0.794937i
\(557\) −5.06814 + 22.2050i −0.214744 + 0.940856i 0.746550 + 0.665330i \(0.231709\pi\)
−0.961294 + 0.275526i \(0.911148\pi\)
\(558\) −4.35328 −0.184289
\(559\) −1.19282 + 7.56862i −0.0504508 + 0.320119i
\(560\) 113.706 4.80495
\(561\) −2.77221 + 12.1459i −0.117043 + 0.512798i
\(562\) 8.21337 + 35.9851i 0.346460 + 1.51794i
\(563\) 13.3634 + 6.43546i 0.563199 + 0.271222i 0.693746 0.720220i \(-0.255959\pi\)
−0.130547 + 0.991442i \(0.541673\pi\)
\(564\) 8.01485 10.0503i 0.337486 0.423194i
\(565\) 8.52585 0.358685
\(566\) 92.3255 3.88073
\(567\) −1.68671 + 2.11507i −0.0708354 + 0.0888247i
\(568\) −81.1562 + 39.0827i −3.40524 + 1.63988i
\(569\) 16.3097 + 20.4517i 0.683739 + 0.857382i 0.995693 0.0927157i \(-0.0295548\pi\)
−0.311954 + 0.950097i \(0.600983\pi\)
\(570\) 2.13228 1.02685i 0.0893113 0.0430100i
\(571\) −1.71595 + 7.51809i −0.0718105 + 0.314622i −0.998058 0.0622939i \(-0.980158\pi\)
0.926247 + 0.376916i \(0.123016\pi\)
\(572\) −7.99038 + 10.0196i −0.334095 + 0.418941i
\(573\) −5.30707 + 23.2518i −0.221706 + 0.971357i
\(574\) 19.7940 + 9.53228i 0.826185 + 0.397870i
\(575\) 9.41878 + 11.8108i 0.392790 + 0.492544i
\(576\) 21.9052 + 27.4683i 0.912718 + 1.14451i
\(577\) −4.89548 21.4485i −0.203801 0.892912i −0.968596 0.248638i \(-0.920017\pi\)
0.764795 0.644274i \(-0.222840\pi\)
\(578\) −57.7061 27.7898i −2.40026 1.15590i
\(579\) 7.39131 3.55947i 0.307173 0.147927i
\(580\) −9.46513 41.4694i −0.393018 1.72192i
\(581\) −4.22898 18.5284i −0.175448 0.768687i
\(582\) 14.2830 6.87833i 0.592050 0.285116i
\(583\) −23.7267 11.4262i −0.982658 0.473223i
\(584\) 6.14993 + 26.9446i 0.254486 + 1.11498i
\(585\) 1.91030 + 2.39544i 0.0789812 + 0.0990393i
\(586\) 29.1570 + 36.5617i 1.20446 + 1.51035i
\(587\) −25.1628 12.1177i −1.03858 0.500153i −0.164723 0.986340i \(-0.552673\pi\)
−0.873855 + 0.486187i \(0.838387\pi\)
\(588\) −0.395932 + 1.73469i −0.0163280 + 0.0715375i
\(589\) −0.322939 + 0.404952i −0.0133065 + 0.0166858i
\(590\) −5.13303 + 22.4893i −0.211324 + 0.925869i
\(591\) 7.30748 3.51910i 0.300590 0.144756i
\(592\) −15.6833 19.6662i −0.644580 0.808278i
\(593\) 28.8568 13.8967i 1.18501 0.570668i 0.265640 0.964072i \(-0.414417\pi\)
0.919366 + 0.393404i \(0.128703\pi\)
\(594\) 3.37190 4.22823i 0.138351 0.173486i
\(595\) 45.0073 1.84512
\(596\) 63.1461 2.58656
\(597\) 6.51097 8.16450i 0.266476 0.334151i
\(598\) 23.3505 + 11.2450i 0.954872 + 0.459842i
\(599\) 5.05764 + 22.1590i 0.206650 + 0.905391i 0.966778 + 0.255618i \(0.0822789\pi\)
−0.760128 + 0.649773i \(0.774864\pi\)
\(600\) −4.12229 + 18.0609i −0.168292 + 0.737335i
\(601\) −36.3801 −1.48398 −0.741989 0.670413i \(-0.766117\pi\)
−0.741989 + 0.670413i \(0.766117\pi\)
\(602\) −14.0876 46.7841i −0.574170 1.90678i
\(603\) −8.91589 −0.363083
\(604\) 12.1074 53.0462i 0.492645 2.15842i
\(605\) −4.16867 18.2642i −0.169481 0.742544i
\(606\) −26.0969 12.5676i −1.06011 0.510524i
\(607\) −18.6482 + 23.3841i −0.756908 + 0.949133i −0.999781 0.0209250i \(-0.993339\pi\)
0.242873 + 0.970058i \(0.421910\pi\)
\(608\) 7.99443 0.324217
\(609\) 7.85642 0.318358
\(610\) −31.5029 + 39.5034i −1.27551 + 1.59944i
\(611\) 2.42273 1.16672i 0.0980131 0.0472006i
\(612\) 22.0963 + 27.7079i 0.893190 + 1.12002i
\(613\) −18.0212 + 8.67857i −0.727871 + 0.350524i −0.760846 0.648932i \(-0.775216\pi\)
0.0329757 + 0.999456i \(0.489502\pi\)
\(614\) 19.9159 87.2573i 0.803741 3.52142i
\(615\) −4.82063 + 6.04487i −0.194386 + 0.243753i
\(616\) 11.6737 51.1458i 0.470347 2.06072i
\(617\) −24.8137 11.9496i −0.998960 0.481074i −0.138375 0.990380i \(-0.544188\pi\)
−0.860585 + 0.509306i \(0.829902\pi\)
\(618\) −1.53632 1.92649i −0.0617999 0.0774946i
\(619\) −6.63008 8.31386i −0.266485 0.334162i 0.630527 0.776167i \(-0.282839\pi\)
−0.897013 + 0.442005i \(0.854267\pi\)
\(620\) −5.15148 22.5701i −0.206888 0.906437i
\(621\) −7.25581 3.49422i −0.291166 0.140218i
\(622\) 19.8244 9.54692i 0.794885 0.382796i
\(623\) −5.72520 25.0837i −0.229375 1.00496i
\(624\) 4.16764 + 18.2596i 0.166839 + 0.730969i
\(625\) 27.8042 13.3898i 1.11217 0.535593i
\(626\) 12.7834 + 6.15615i 0.510927 + 0.246049i
\(627\) −0.143183 0.627324i −0.00571816 0.0250529i
\(628\) −71.4921 89.6483i −2.85285 3.57736i
\(629\) −6.20781 7.78434i −0.247521 0.310382i
\(630\) −17.6029 8.47709i −0.701315 0.337735i
\(631\) −3.23744 + 14.1842i −0.128881 + 0.564663i 0.868712 + 0.495317i \(0.164948\pi\)
−0.997593 + 0.0693455i \(0.977909\pi\)
\(632\) 34.6064 43.3951i 1.37657 1.72616i
\(633\) 1.92574 8.43722i 0.0765413 0.335350i
\(634\) −0.781767 + 0.376479i −0.0310479 + 0.0149519i
\(635\) −17.3828 21.7973i −0.689815 0.865001i
\(636\) −67.4950 + 32.5039i −2.67635 + 1.28886i
\(637\) −0.232064 + 0.290999i −0.00919472 + 0.0115298i
\(638\) −15.7057 −0.621796
\(639\) 9.12080 0.360813
\(640\) −78.4315 + 98.3500i −3.10028 + 3.88763i
\(641\) 29.6742 + 14.2904i 1.17206 + 0.564435i 0.915589 0.402116i \(-0.131725\pi\)
0.256473 + 0.966551i \(0.417439\pi\)
\(642\) −0.000958010 0.00419731i −3.78096e−5 0.000165655i
\(643\) 1.89649 8.30907i 0.0747903 0.327678i −0.923667 0.383195i \(-0.874824\pi\)
0.998458 + 0.0555175i \(0.0176809\pi\)
\(644\) −121.694 −4.79542
\(645\) 17.1549 1.16980i 0.675475 0.0460608i
\(646\) 5.72639 0.225302
\(647\) −4.00091 + 17.5291i −0.157292 + 0.689141i 0.833360 + 0.552730i \(0.186414\pi\)
−0.990652 + 0.136411i \(0.956443\pi\)
\(648\) −2.19761 9.62834i −0.0863301 0.378237i
\(649\) 5.65065 + 2.72121i 0.221807 + 0.106817i
\(650\) −3.76381 + 4.71967i −0.147629 + 0.185121i
\(651\) 4.27593 0.167587
\(652\) −0.435830 −0.0170684
\(653\) −14.3631 + 18.0108i −0.562072 + 0.704815i −0.978939 0.204152i \(-0.934556\pi\)
0.416868 + 0.908967i \(0.363128\pi\)
\(654\) −41.7519 + 20.1066i −1.63263 + 0.786232i
\(655\) 30.2829 + 37.9736i 1.18325 + 1.48375i
\(656\) −42.5824 + 20.5066i −1.66256 + 0.800649i
\(657\) 0.622718 2.72831i 0.0242945 0.106441i
\(658\) −10.6912 + 13.4063i −0.416786 + 0.522633i
\(659\) 0.0126296 0.0553339i 0.000491980 0.00215550i −0.974681 0.223599i \(-0.928220\pi\)
0.975173 + 0.221443i \(0.0710767\pi\)
\(660\) 25.9119 + 12.4785i 1.00862 + 0.485726i
\(661\) 23.5891 + 29.5798i 0.917508 + 1.15052i 0.988223 + 0.153022i \(0.0489007\pi\)
−0.0707144 + 0.997497i \(0.522528\pi\)
\(662\) −37.2362 46.6928i −1.44723 1.81477i
\(663\) 1.64964 + 7.22756i 0.0640668 + 0.280695i
\(664\) 62.5088 + 30.1027i 2.42581 + 1.16821i
\(665\) −2.09439 + 1.00860i −0.0812168 + 0.0391120i
\(666\) 0.961767 + 4.21378i 0.0372677 + 0.163281i
\(667\) 5.20427 + 22.8014i 0.201510 + 0.882873i
\(668\) 49.8781 24.0200i 1.92984 0.929362i
\(669\) 3.06207 + 1.47462i 0.118387 + 0.0570120i
\(670\) −14.3284 62.7767i −0.553553 2.42528i
\(671\) 8.56517 + 10.7404i 0.330655 + 0.414628i
\(672\) −41.1487 51.5989i −1.58735 1.99047i
\(673\) 23.6061 + 11.3681i 0.909949 + 0.438208i 0.829472 0.558548i \(-0.188641\pi\)
0.0804768 + 0.996756i \(0.474356\pi\)
\(674\) 7.45034 32.6421i 0.286976 1.25733i
\(675\) 1.16955 1.46657i 0.0450160 0.0564482i
\(676\) 14.4613 63.3592i 0.556205 2.43689i
\(677\) −18.3596 + 8.84151i −0.705617 + 0.339807i −0.752042 0.659115i \(-0.770931\pi\)
0.0464259 + 0.998922i \(0.485217\pi\)
\(678\) −5.58347 7.00145i −0.214432 0.268889i
\(679\) −14.0292 + 6.75610i −0.538391 + 0.259275i
\(680\) −102.442 + 128.459i −3.92848 + 4.92616i
\(681\) −1.91314 −0.0733116
\(682\) −8.54798 −0.327319
\(683\) −11.1175 + 13.9409i −0.425399 + 0.533433i −0.947630 0.319371i \(-0.896528\pi\)
0.522231 + 0.852804i \(0.325100\pi\)
\(684\) −1.64916 0.794196i −0.0630574 0.0303668i
\(685\) −5.04567 22.1065i −0.192785 0.844647i
\(686\) −11.0778 + 48.5350i −0.422952 + 1.85308i
\(687\) −24.7778 −0.945333
\(688\) 97.5838 + 39.0570i 3.72035 + 1.48904i
\(689\) −15.6708 −0.597009
\(690\) 12.9422 56.7035i 0.492701 2.15867i
\(691\) −5.64970 24.7530i −0.214925 0.941647i −0.961166 0.275971i \(-0.911001\pi\)
0.746241 0.665676i \(-0.231857\pi\)
\(692\) 1.86062 + 0.896027i 0.0707301 + 0.0340618i
\(693\) −3.31198 + 4.15310i −0.125812 + 0.157763i
\(694\) −51.8764 −1.96920
\(695\) −9.02565 −0.342362
\(696\) −17.8822 + 22.4236i −0.677823 + 0.849963i
\(697\) −16.8551 + 8.11698i −0.638432 + 0.307452i
\(698\) 32.9654 + 41.3372i 1.24776 + 1.56464i
\(699\) −4.79513 + 2.30922i −0.181369 + 0.0873425i
\(700\) 6.30745 27.6347i 0.238399 1.04449i
\(701\) 13.9302 17.4679i 0.526135 0.659753i −0.445764 0.895151i \(-0.647068\pi\)
0.971899 + 0.235398i \(0.0756393\pi\)
\(702\) 0.716111 3.13749i 0.0270279 0.118417i
\(703\) 0.463321 + 0.223124i 0.0174745 + 0.00841528i
\(704\) 43.0125 + 53.9359i 1.62109 + 2.03279i
\(705\) −3.76250 4.71802i −0.141704 0.177691i
\(706\) 6.00693 + 26.3181i 0.226074 + 0.990493i
\(707\) 25.6331 + 12.3443i 0.964033 + 0.464254i
\(708\) 16.0743 7.74099i 0.604111 0.290924i
\(709\) 3.46551 + 15.1834i 0.130150 + 0.570224i 0.997382 + 0.0723193i \(0.0230401\pi\)
−0.867232 + 0.497905i \(0.834103\pi\)
\(710\) 14.6577 + 64.2194i 0.550092 + 2.41011i
\(711\) −5.06359 + 2.43850i −0.189899 + 0.0914507i
\(712\) 84.6245 + 40.7530i 3.17144 + 1.52728i
\(713\) 2.83247 + 12.4099i 0.106077 + 0.464753i
\(714\) −29.4747 36.9601i −1.10306 1.38320i
\(715\) 3.75101 + 4.70362i 0.140280 + 0.175905i
\(716\) −37.2524 17.9398i −1.39219 0.670442i
\(717\) 4.39944 19.2752i 0.164300 0.719846i
\(718\) −31.2328 + 39.1647i −1.16560 + 1.46162i
\(719\) −6.78073 + 29.7083i −0.252878 + 1.10793i 0.675811 + 0.737075i \(0.263794\pi\)
−0.928690 + 0.370858i \(0.879064\pi\)
\(720\) 37.8687 18.2366i 1.41128 0.679638i
\(721\) 1.50902 + 1.89225i 0.0561989 + 0.0704711i
\(722\) 46.8815 22.5769i 1.74475 0.840226i
\(723\) 7.57212 9.49514i 0.281610 0.353128i
\(724\) −110.172 −4.09452
\(725\) −5.44755 −0.202317
\(726\) −12.2686 + 15.3843i −0.455329 + 0.570965i
\(727\) 1.30530 + 0.628600i 0.0484109 + 0.0233135i 0.457933 0.888987i \(-0.348590\pi\)
−0.409522 + 0.912300i \(0.634304\pi\)
\(728\) −6.94660 30.4351i −0.257458 1.12800i
\(729\) −0.222521 + 0.974928i −0.00824152 + 0.0361084i
\(730\) 20.2107 0.748032
\(731\) 38.6259 + 15.4596i 1.42863 + 0.571796i
\(732\) 39.0788 1.44439
\(733\) 1.71450 7.51171i 0.0633265 0.277451i −0.933344 0.358982i \(-0.883124\pi\)
0.996671 + 0.0815310i \(0.0259810\pi\)
\(734\) −10.7239 46.9843i −0.395825 1.73422i
\(735\) 0.752559 + 0.362413i 0.0277585 + 0.0133678i
\(736\) 122.496 153.605i 4.51524 5.66194i
\(737\) −17.5070 −0.644878
\(738\) 8.12103 0.298939
\(739\) 2.21823 2.78157i 0.0815989 0.102322i −0.739356 0.673314i \(-0.764870\pi\)
0.820955 + 0.570993i \(0.193442\pi\)
\(740\) −20.7087 + 9.97278i −0.761267 + 0.366607i
\(741\) −0.238733 0.299362i −0.00877008 0.0109973i
\(742\) 90.0330 43.3576i 3.30522 1.59171i
\(743\) −3.61892 + 15.8555i −0.132765 + 0.581682i 0.864153 + 0.503230i \(0.167855\pi\)
−0.996918 + 0.0784525i \(0.975002\pi\)
\(744\) −9.73254 + 12.2042i −0.356812 + 0.447428i
\(745\) 6.59626 28.9001i 0.241668 1.05882i
\(746\) −25.8055 12.4273i −0.944807 0.454995i
\(747\) −4.38008 5.49245i −0.160259 0.200958i
\(748\) 43.3877 + 54.4064i 1.58641 + 1.98929i
\(749\) 0.000940986 0.00412273i 3.43829e−5 0.000150641i
\(750\) −20.3286 9.78975i −0.742297 0.357471i
\(751\) −25.8259 + 12.4371i −0.942400 + 0.453836i −0.841015 0.541011i \(-0.818042\pi\)
−0.101385 + 0.994847i \(0.532327\pi\)
\(752\) −8.20851 35.9638i −0.299334 1.31147i
\(753\) −2.42458 10.6228i −0.0883565 0.387115i
\(754\) −8.42038 + 4.05504i −0.306652 + 0.147676i
\(755\) −23.0129 11.0824i −0.837527 0.403332i
\(756\) 3.36252 + 14.7322i 0.122294 + 0.535803i
\(757\) 7.98098 + 10.0078i 0.290074 + 0.363741i 0.905421 0.424515i \(-0.139556\pi\)
−0.615347 + 0.788256i \(0.710984\pi\)
\(758\) 22.1620 + 27.7902i 0.804960 + 1.00939i
\(759\) −14.2473 6.86114i −0.517144 0.249044i
\(760\) 1.88836 8.27344i 0.0684980 0.300109i
\(761\) −28.1582 + 35.3092i −1.02073 + 1.27996i −0.0612697 + 0.998121i \(0.519515\pi\)
−0.959462 + 0.281836i \(0.909056\pi\)
\(762\) −6.51626 + 28.5496i −0.236059 + 1.03424i
\(763\) 41.0099 19.7493i 1.48466 0.714974i
\(764\) 83.0605 + 104.155i 3.00502 + 3.76818i
\(765\) 14.9893 7.21846i 0.541938 0.260984i
\(766\) −58.2396 + 73.0302i −2.10428 + 2.63869i
\(767\) 3.73209 0.134758
\(768\) 61.8626 2.23228
\(769\) −25.7841 + 32.3322i −0.929798 + 1.16593i 0.0560734 + 0.998427i \(0.482142\pi\)
−0.985872 + 0.167503i \(0.946430\pi\)
\(770\) −34.5645 16.6454i −1.24562 0.599857i
\(771\) −1.91795 8.40310i −0.0690734 0.302630i
\(772\) 10.1968 44.6751i 0.366991 1.60789i
\(773\) −50.5104 −1.81673 −0.908366 0.418175i \(-0.862670\pi\)
−0.908366 + 0.418175i \(0.862670\pi\)
\(774\) −12.1952 13.3216i −0.438347 0.478834i
\(775\) −2.96488 −0.106502
\(776\) 12.6491 55.4194i 0.454077 1.98944i
\(777\) −0.944676 4.13890i −0.0338901 0.148482i
\(778\) 78.3537 + 37.7332i 2.80912 + 1.35280i
\(779\) 0.602441 0.755437i 0.0215847 0.0270663i
\(780\) 17.1141 0.612782
\(781\) 17.9093 0.640846
\(782\) 87.7433 110.027i 3.13769 3.93454i
\(783\) 2.61651 1.26004i 0.0935064 0.0450303i
\(784\) 3.18351 + 3.99200i 0.113697 + 0.142571i
\(785\) −48.4975 + 23.3552i −1.73095 + 0.833582i
\(786\) 11.3521 49.7368i 0.404916 1.77405i
\(787\) −21.1664 + 26.5419i −0.754502 + 0.946116i −0.999727 0.0233501i \(-0.992567\pi\)
0.245225 + 0.969466i \(0.421138\pi\)
\(788\) 10.0811 44.1684i 0.359126 1.57343i
\(789\) 18.6988 + 9.00489i 0.665696 + 0.320582i
\(790\) −25.3069 31.7339i −0.900379 1.12904i
\(791\) 5.48425 + 6.87703i 0.194998 + 0.244519i
\(792\) −4.31515 18.9059i −0.153332 0.671793i
\(793\) 7.36512 + 3.54686i 0.261543 + 0.125953i
\(794\) −49.9959 + 24.0767i −1.77429 + 0.854451i
\(795\) 7.82552 + 34.2858i 0.277543 + 1.21599i
\(796\) −12.9798 56.8683i −0.460058 2.01564i
\(797\) 21.2416 10.2294i 0.752418 0.362345i −0.0180394 0.999837i \(-0.505742\pi\)
0.770457 + 0.637492i \(0.220028\pi\)
\(798\) 2.19986 + 1.05939i 0.0778740 + 0.0375022i
\(799\) −3.24911 14.2353i −0.114945 0.503608i
\(800\) 28.5321 + 35.7781i 1.00876 + 1.26495i
\(801\) −5.92976 7.43568i −0.209518 0.262727i
\(802\) −29.6021 14.2556i −1.04529 0.503383i
\(803\) 1.22275 5.35722i 0.0431499 0.189052i
\(804\) −31.0510 + 38.9367i −1.09508 + 1.37319i
\(805\) −12.7122 + 55.6959i −0.448047 + 1.96302i
\(806\) −4.58287 + 2.20699i −0.161425 + 0.0777380i
\(807\) −15.0935 18.9267i −0.531318 0.666251i
\(808\) −93.5768 + 45.0642i −3.29202 + 1.58535i
\(809\) 25.2999 31.7251i 0.889498 1.11540i −0.103187 0.994662i \(-0.532904\pi\)
0.992685 0.120733i \(-0.0385246\pi\)
\(810\) −7.22206 −0.253757
\(811\) −30.9361 −1.08631 −0.543157 0.839631i \(-0.682771\pi\)
−0.543157 + 0.839631i \(0.682771\pi\)
\(812\) 27.3612 34.3099i 0.960190 1.20404i
\(813\) 14.9876 + 7.21766i 0.525639 + 0.253135i
\(814\) 1.88850 + 8.27405i 0.0661918 + 0.290005i
\(815\) −0.0455269 + 0.199467i −0.00159474 + 0.00698701i
\(816\) 101.699 3.56018
\(817\) −2.14388 + 0.146191i −0.0750047 + 0.00511459i
\(818\) −25.4807 −0.890912
\(819\) −0.703386 + 3.08173i −0.0245783 + 0.107684i
\(820\) 9.61006 + 42.1044i 0.335598 + 1.47035i
\(821\) −42.0171 20.2344i −1.46641 0.706184i −0.481050 0.876693i \(-0.659744\pi\)
−0.985356 + 0.170509i \(0.945459\pi\)
\(822\) −14.8496 + 18.6208i −0.517939 + 0.649475i
\(823\) 25.6049 0.892529 0.446265 0.894901i \(-0.352754\pi\)
0.446265 + 0.894901i \(0.352754\pi\)
\(824\) −8.83552 −0.307800
\(825\) 2.29649 2.87971i 0.0799536 0.100259i
\(826\) −21.4419 + 10.3259i −0.746059 + 0.359283i
\(827\) −22.5154 28.2334i −0.782938 0.981773i −0.999984 0.00561187i \(-0.998214\pi\)
0.217046 0.976161i \(-0.430358\pi\)
\(828\) −40.5291 + 19.5178i −1.40849 + 0.678291i
\(829\) 2.51238 11.0075i 0.0872586 0.382305i −0.912375 0.409354i \(-0.865754\pi\)
0.999634 + 0.0270493i \(0.00861111\pi\)
\(830\) 31.6332 39.6668i 1.09800 1.37685i
\(831\) 1.88746 8.26949i 0.0654752 0.286866i
\(832\) 36.9861 + 17.8116i 1.28226 + 0.617505i
\(833\) 1.26011 + 1.58012i 0.0436601 + 0.0547480i
\(834\) 5.91078 + 7.41189i 0.204674 + 0.256653i
\(835\) −5.78298 25.3369i −0.200128 0.876819i
\(836\) −3.23825 1.55946i −0.111997 0.0539350i
\(837\) 1.42406 0.685790i 0.0492226 0.0237044i
\(838\) −0.326844 1.43200i −0.0112906 0.0494675i
\(839\) −6.08904 26.6778i −0.210217 0.921021i −0.964419 0.264378i \(-0.914833\pi\)
0.754202 0.656642i \(-0.228024\pi\)
\(840\) −63.1194 + 30.3967i −2.17783 + 1.04879i
\(841\) 18.5295 + 8.92333i 0.638948 + 0.307701i
\(842\) −4.68209 20.5136i −0.161356 0.706945i
\(843\) −8.35566 10.4777i −0.287784 0.360870i
\(844\) −30.1396 37.7939i −1.03745 1.30092i
\(845\) −27.4870 13.2371i −0.945583 0.455369i
\(846\) −1.41044 + 6.17954i −0.0484920 + 0.212457i
\(847\) 12.0505 15.1109i 0.414062 0.519217i
\(848\) −47.8366 + 209.586i −1.64271 + 7.19720i
\(849\) −30.2018 + 14.5444i −1.03652 + 0.499163i
\(850\) 20.4374 + 25.6277i 0.700999 + 0.879025i
\(851\) 11.3864 5.48339i 0.390320 0.187968i
\(852\) 31.7646 39.8316i 1.08824 1.36461i
\(853\) 10.1228 0.346599 0.173299 0.984869i \(-0.444557\pi\)
0.173299 + 0.984869i \(0.444557\pi\)
\(854\) −52.1280 −1.78378
\(855\) −0.535752 + 0.671812i −0.0183223 + 0.0229755i
\(856\) −0.0139088 0.00669811i −0.000475392 0.000228937i
\(857\) 10.4719 + 45.8804i 0.357713 + 1.56724i 0.758875 + 0.651236i \(0.225749\pi\)
−0.401162 + 0.916007i \(0.631393\pi\)
\(858\) 1.40613 6.16068i 0.0480046 0.210322i
\(859\) 50.1784 1.71206 0.856032 0.516922i \(-0.172922\pi\)
0.856032 + 0.516922i \(0.172922\pi\)
\(860\) 54.6361 78.9915i 1.86307 2.69359i
\(861\) −7.97672 −0.271846
\(862\) 7.79762 34.1636i 0.265588 1.16362i
\(863\) −6.86846 30.0927i −0.233805 1.02437i −0.946452 0.322844i \(-0.895361\pi\)
0.712647 0.701522i \(-0.247496\pi\)
\(864\) −21.9798 10.5849i −0.747769 0.360107i
\(865\) 0.604446 0.757952i 0.0205518 0.0257711i
\(866\) 92.9578 3.15883
\(867\) 23.2548 0.789775
\(868\) 14.8916 18.6735i 0.505453 0.633818i
\(869\) −9.94271 + 4.78816i −0.337283 + 0.162427i
\(870\) 13.0768 + 16.3978i 0.443346 + 0.555939i
\(871\) −9.38610 + 4.52011i −0.318036 + 0.153158i
\(872\) −36.9757 + 162.001i −1.25216 + 5.48606i
\(873\) −3.58872 + 4.50012i −0.121460 + 0.152306i
\(874\) −1.61741 + 7.08632i −0.0547096 + 0.239698i
\(875\) 19.9674 + 9.61579i 0.675021 + 0.325073i
\(876\) −9.74611 12.2212i −0.329290 0.412917i
\(877\) 32.0726 + 40.2177i 1.08301 + 1.35806i 0.929039 + 0.369982i \(0.120636\pi\)
0.153975 + 0.988075i \(0.450792\pi\)
\(878\) 12.6897 + 55.5970i 0.428255 + 1.87631i
\(879\) −15.2976 7.36695i −0.515976 0.248481i
\(880\) 74.3579 35.8089i 2.50660 1.20712i
\(881\) 2.03639 + 8.92203i 0.0686079 + 0.300591i 0.997577 0.0695655i \(-0.0221613\pi\)
−0.928970 + 0.370156i \(0.879304\pi\)
\(882\) −0.195226 0.855343i −0.00657362 0.0288009i
\(883\) −0.177925 + 0.0856842i −0.00598766 + 0.00288350i −0.436875 0.899522i \(-0.643915\pi\)
0.430888 + 0.902406i \(0.358201\pi\)
\(884\) 37.3087 + 17.9669i 1.25483 + 0.604293i
\(885\) −1.86370 8.16538i −0.0626474 0.274476i
\(886\) −2.31351 2.90105i −0.0777240 0.0974628i
\(887\) −12.2287 15.3343i −0.410599 0.514875i 0.532932 0.846158i \(-0.321090\pi\)
−0.943532 + 0.331283i \(0.892519\pi\)
\(888\) 13.9633 + 6.72438i 0.468578 + 0.225655i
\(889\) 6.40047 28.0423i 0.214665 0.940508i
\(890\) 42.8251 53.7009i 1.43550 1.80006i
\(891\) −0.436936 + 1.91434i −0.0146379 + 0.0641328i
\(892\) 17.1040 8.23684i 0.572683 0.275790i
\(893\) 0.470205 + 0.589618i 0.0157348 + 0.0197308i
\(894\) −28.0527 + 13.5094i −0.938221 + 0.451823i
\(895\) −12.1019 + 15.1753i −0.404523 + 0.507255i
\(896\) −129.781 −4.33568
\(897\) −9.40993 −0.314189
\(898\) 20.0051 25.0855i 0.667577 0.837116i
\(899\) −4.13561 1.99161i −0.137930 0.0664238i
\(900\) −2.33153 10.2151i −0.0777177 0.340504i
\(901\) −18.9348 + 82.9587i −0.630809 + 2.76375i
\(902\) 15.9462 0.530951
\(903\) 11.9785 + 13.0849i 0.398619 + 0.435437i
\(904\) −32.1111 −1.06800
\(905\) −11.5086 + 50.4226i −0.382560 + 1.67611i
\(906\) 5.96995 + 26.1560i 0.198338 + 0.868976i
\(907\) −36.1111 17.3902i −1.19905 0.577432i −0.275645 0.961260i \(-0.588891\pi\)
−0.923405 + 0.383828i \(0.874606\pi\)
\(908\) −6.66280 + 8.35489i −0.221113 + 0.277267i
\(909\) 10.5167 0.348817
\(910\) −22.8288 −0.756769
\(911\) 4.33344 5.43396i 0.143573 0.180035i −0.704845 0.709361i \(-0.748984\pi\)
0.848419 + 0.529326i \(0.177555\pi\)
\(912\) −4.73251 + 2.27906i −0.156709 + 0.0754671i
\(913\) −8.60060 10.7848i −0.284638 0.356925i
\(914\) 88.6325 42.6832i 2.93170 1.41183i
\(915\) 4.08219 17.8852i 0.134953 0.591267i
\(916\) −86.2927 + 108.208i −2.85119 + 3.57528i
\(917\) −11.1504 + 48.8530i −0.368218 + 1.61327i
\(918\) −15.7441 7.58196i −0.519633 0.250242i
\(919\) 8.18704 + 10.2662i 0.270065 + 0.338651i 0.898308 0.439366i \(-0.144797\pi\)
−0.628243 + 0.778017i \(0.716225\pi\)
\(920\) −130.031 163.054i −4.28699 5.37572i
\(921\) 7.23104 + 31.6813i 0.238271 + 1.04393i
\(922\) −43.3260 20.8647i −1.42687 0.687142i
\(923\) 9.60180 4.62399i 0.316047 0.152200i
\(924\) 6.60254 + 28.9276i 0.217208 + 0.951649i
\(925\) 0.655028 + 2.86986i 0.0215372 + 0.0943606i
\(926\) −84.9770 + 40.9228i −2.79252 + 1.34481i
\(927\) 0.806052 + 0.388174i 0.0264742 + 0.0127493i
\(928\) 15.7651 + 69.0716i 0.517516 + 2.26739i
\(929\) 12.9960 + 16.2965i 0.426386 + 0.534671i 0.947898 0.318573i \(-0.103204\pi\)
−0.521513 + 0.853244i \(0.674632\pi\)
\(930\) 7.11719 + 8.92467i 0.233382 + 0.292651i
\(931\) −0.0940484 0.0452913i −0.00308231 0.00148436i
\(932\) −6.61520 + 28.9831i −0.216688 + 0.949373i
\(933\) −4.98104 + 6.24602i −0.163072 + 0.204486i
\(934\) 11.0152 48.2608i 0.360429 1.57914i
\(935\) 29.4325 14.1739i 0.962546 0.463538i
\(936\) −7.19480 9.02199i −0.235169 0.294893i
\(937\) −32.2732 + 15.5419i −1.05432 + 0.507733i −0.879021 0.476783i \(-0.841803\pi\)
−0.175297 + 0.984516i \(0.556089\pi\)
\(938\) 41.4196 51.9385i 1.35240 1.69585i
\(939\) −5.15154 −0.168114
\(940\) −33.7076 −1.09942
\(941\) 35.8746 44.9853i 1.16948 1.46648i 0.313411 0.949618i \(-0.398528\pi\)
0.856068 0.516863i \(-0.172900\pi\)
\(942\) 50.9397 + 24.5313i 1.65971 + 0.799272i
\(943\) −5.28396 23.1505i −0.172069 0.753885i
\(944\) 11.3926 49.9141i 0.370796 1.62457i
\(945\) 7.09372 0.230759
\(946\) −23.9461 26.1579i −0.778555 0.850466i
\(947\) 48.8468 1.58731 0.793653 0.608371i \(-0.208177\pi\)
0.793653 + 0.608371i \(0.208177\pi\)
\(948\) −6.98555 + 30.6057i −0.226880 + 0.994027i
\(949\) −0.727615 3.18789i −0.0236194 0.103483i
\(950\) −1.52536 0.734572i −0.0494891 0.0238327i
\(951\) 0.196425 0.246310i 0.00636953 0.00798714i
\(952\) −169.512 −5.49391
\(953\) −34.2653 −1.10996 −0.554982 0.831863i \(-0.687275\pi\)
−0.554982 + 0.831863i \(0.687275\pi\)
\(954\) 23.0308 28.8797i 0.745649 0.935015i
\(955\) 56.3450 27.1343i 1.82328 0.878047i
\(956\) −68.8553 86.3418i −2.22694 2.79249i
\(957\) 5.13770 2.47419i 0.166078 0.0799791i
\(958\) 24.1194 105.674i 0.779264 3.41418i
\(959\) 14.5857 18.2899i 0.470997 0.590612i
\(960\) 20.4999 89.8158i 0.661630 2.89879i
\(961\) 25.6792 + 12.3664i 0.828361 + 0.398918i
\(962\) 3.14875 + 3.94841i 0.101520 + 0.127302i
\(963\) 0.000974606 0.00122212i 3.14062e−5 3.93822e-5i
\(964\) −15.0952 66.1366i −0.486185 2.13012i
\(965\) −19.3813 9.33356i −0.623907 0.300458i
\(966\) 54.0627 26.0352i 1.73944 0.837669i
\(967\) −7.83475 34.3263i −0.251949 1.10386i −0.929627 0.368501i \(-0.879871\pi\)
0.677679 0.735358i \(-0.262986\pi\)
\(968\) 15.7006 + 68.7886i 0.504635 + 2.21095i
\(969\) −1.87323 + 0.902101i −0.0601769 + 0.0289797i
\(970\) −37.4526 18.0362i −1.20253 0.579108i
\(971\) 2.12978 + 9.33118i 0.0683479 + 0.299452i 0.997536 0.0701552i \(-0.0223495\pi\)
−0.929188 + 0.369607i \(0.879492\pi\)
\(972\) 3.48266 + 4.36711i 0.111706 + 0.140075i
\(973\) −5.80575 7.28018i −0.186124 0.233392i
\(974\) 68.9252 + 33.1926i 2.20851 + 1.06356i
\(975\) 0.487720 2.13684i 0.0156195 0.0684336i
\(976\) 69.9194 87.6762i 2.23807 2.80645i
\(977\) 9.87259 43.2546i 0.315852 1.38384i −0.528902 0.848683i \(-0.677396\pi\)
0.844754 0.535155i \(-0.179747\pi\)
\(978\) 0.193618 0.0932413i 0.00619121 0.00298153i
\(979\) −11.6435 14.6005i −0.372128 0.466633i
\(980\) 4.20360 2.02435i 0.134279 0.0646654i
\(981\) 10.4905 13.1547i 0.334936 0.419997i
\(982\) 81.3348 2.59550
\(983\) 50.6590 1.61577 0.807886 0.589338i \(-0.200612\pi\)
0.807886 + 0.589338i \(0.200612\pi\)
\(984\) 18.1560 22.7669i 0.578792 0.725783i
\(985\) −19.1615 9.22770i −0.610536 0.294019i
\(986\) 11.2925 + 49.4758i 0.359628 + 1.57563i
\(987\) 1.38538 6.06973i 0.0440970 0.193202i
\(988\) −2.13877 −0.0680434
\(989\) −30.0409 + 43.4324i −0.955244 + 1.38107i
\(990\) −14.1810 −0.450703
\(991\) −1.31065 + 5.74234i −0.0416342 + 0.182412i −0.991469 0.130339i \(-0.958393\pi\)
0.949835 + 0.312751i \(0.101250\pi\)
\(992\) 8.58032 + 37.5928i 0.272425 + 1.19357i
\(993\) 19.5365 + 9.40829i 0.619972 + 0.298563i
\(994\) −42.3715 + 53.1322i −1.34394 + 1.68525i
\(995\) −27.3828 −0.868095
\(996\) −39.2405 −1.24338
\(997\) 16.7665 21.0245i 0.531000 0.665853i −0.441904 0.897062i \(-0.645697\pi\)
0.972904 + 0.231209i \(0.0742682\pi\)
\(998\) −70.8330 + 34.1114i −2.24218 + 1.07978i
\(999\) −0.978429 1.22691i −0.0309561 0.0388177i
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 129.2.i.c.121.1 yes 30
3.2 odd 2 387.2.u.e.379.5 30
43.4 even 7 5547.2.a.u.1.15 15
43.16 even 7 inner 129.2.i.c.16.1 30
43.39 odd 14 5547.2.a.v.1.1 15
129.59 odd 14 387.2.u.e.145.5 30
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
129.2.i.c.16.1 30 43.16 even 7 inner
129.2.i.c.121.1 yes 30 1.1 even 1 trivial
387.2.u.e.145.5 30 129.59 odd 14
387.2.u.e.379.5 30 3.2 odd 2
5547.2.a.u.1.15 15 43.4 even 7
5547.2.a.v.1.1 15 43.39 odd 14