Properties

Label 91.2.bc.a.6.1
Level $91$
Weight $2$
Character 91.6
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [91,2,Mod(6,91)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(91, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("91.6");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 6.1
Character \(\chi\) \(=\) 91.6
Dual form 91.2.bc.a.76.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.607529 - 2.26733i) q^{2} +(-2.39046 - 1.38013i) q^{3} +(-3.03963 + 1.75493i) q^{4} +(1.12678 + 1.12678i) q^{5} +(-1.67694 + 6.25841i) q^{6} +(-0.437995 - 2.60925i) q^{7} +(2.50608 + 2.50608i) q^{8} +(2.30952 + 4.00020i) q^{9} +O(q^{10})\) \(q+(-0.607529 - 2.26733i) q^{2} +(-2.39046 - 1.38013i) q^{3} +(-3.03963 + 1.75493i) q^{4} +(1.12678 + 1.12678i) q^{5} +(-1.67694 + 6.25841i) q^{6} +(-0.437995 - 2.60925i) q^{7} +(2.50608 + 2.50608i) q^{8} +(2.30952 + 4.00020i) q^{9} +(1.87023 - 3.23933i) q^{10} +(-3.03446 + 0.813080i) q^{11} +9.68815 q^{12} +(-1.04831 - 3.44979i) q^{13} +(-5.64992 + 2.57827i) q^{14} +(-1.13841 - 4.24862i) q^{15} +(0.649718 - 1.12534i) q^{16} +(0.320795 + 0.555633i) q^{17} +(7.66667 - 7.66667i) q^{18} +(2.04036 - 7.61472i) q^{19} +(-5.40242 - 1.44757i) q^{20} +(-2.55409 + 6.84177i) q^{21} +(3.68704 + 6.38614i) q^{22} +(-0.126569 - 0.0730744i) q^{23} +(-2.53195 - 9.44938i) q^{24} -2.46074i q^{25} +(-7.18493 + 4.47270i) q^{26} -4.46896i q^{27} +(5.91040 + 7.16250i) q^{28} +(1.49412 - 2.58790i) q^{29} +(-8.94139 + 5.16231i) q^{30} +(4.73334 + 4.73334i) q^{31} +(3.90048 + 1.04513i) q^{32} +(8.37589 + 2.24431i) q^{33} +(1.06491 - 1.06491i) q^{34} +(2.44652 - 3.43357i) q^{35} +(-14.0402 - 8.10610i) q^{36} +(3.75725 - 1.00675i) q^{37} -18.5046 q^{38} +(-2.25523 + 9.69337i) q^{39} +5.64759i q^{40} +(5.60356 - 1.50147i) q^{41} +(17.0642 + 1.63438i) q^{42} +(2.42713 - 1.40130i) q^{43} +(7.79674 - 7.79674i) q^{44} +(-1.90503 + 7.10966i) q^{45} +(-0.0887896 + 0.331367i) q^{46} +(-2.22937 + 2.22937i) q^{47} +(-3.10624 + 1.79339i) q^{48} +(-6.61632 + 2.28567i) q^{49} +(-5.57930 + 1.49497i) q^{50} -1.77095i q^{51} +(9.24062 + 8.64639i) q^{52} -7.32119 q^{53} +(-10.1326 + 2.71502i) q^{54} +(-4.33533 - 2.50300i) q^{55} +(5.44132 - 7.63662i) q^{56} +(-15.3867 + 15.3867i) q^{57} +(-6.77534 - 1.81545i) q^{58} +(-4.00631 - 1.07349i) q^{59} +(10.9164 + 10.9164i) q^{60} +(-3.90292 + 2.25335i) q^{61} +(7.85639 - 13.6077i) q^{62} +(9.42595 - 7.77817i) q^{63} -12.0775i q^{64} +(2.70594 - 5.06836i) q^{65} -20.3544i q^{66} +(-0.366486 - 1.36775i) q^{67} +(-1.95020 - 1.12595i) q^{68} +(0.201704 + 0.349362i) q^{69} +(-9.27135 - 3.46107i) q^{70} +(13.8300 + 3.70574i) q^{71} +(-4.23699 + 15.8126i) q^{72} +(4.99083 - 4.99083i) q^{73} +(-4.56527 - 7.90729i) q^{74} +(-3.39614 + 5.88228i) q^{75} +(7.16138 + 26.7267i) q^{76} +(3.45060 + 7.56152i) q^{77} +(23.3482 - 0.775656i) q^{78} -0.632916 q^{79} +(2.00010 - 0.535926i) q^{80} +(0.760810 - 1.31776i) q^{81} +(-6.80865 - 11.7929i) q^{82} +(1.07813 + 1.07813i) q^{83} +(-4.24336 - 25.2788i) q^{84} +(-0.264611 + 0.987541i) q^{85} +(-4.65176 - 4.65176i) q^{86} +(-7.14327 + 4.12417i) q^{87} +(-9.64223 - 5.56694i) q^{88} +(3.51557 + 13.1203i) q^{89} +17.2773 q^{90} +(-8.54220 + 4.24628i) q^{91} +0.512963 q^{92} +(-4.78221 - 17.8475i) q^{93} +(6.40911 + 3.70030i) q^{94} +(10.8791 - 6.28107i) q^{95} +(-7.88151 - 7.88151i) q^{96} +(0.0487160 - 0.181811i) q^{97} +(9.20198 + 13.6128i) q^{98} +(-10.2606 - 10.2606i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 8 q^{2} - 12 q^{4} - 16 q^{8} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 8 q^{2} - 12 q^{4} - 16 q^{8} + 8 q^{9} - 4 q^{11} - 32 q^{14} - 8 q^{15} + 12 q^{16} - 4 q^{18} + 16 q^{21} + 4 q^{22} - 12 q^{23} + 24 q^{28} + 4 q^{29} + 12 q^{30} + 4 q^{32} - 20 q^{35} + 4 q^{37} - 36 q^{39} - 28 q^{42} - 48 q^{43} + 24 q^{44} + 84 q^{46} + 24 q^{49} - 44 q^{50} + 72 q^{53} + 60 q^{56} - 92 q^{57} - 16 q^{58} + 76 q^{60} + 48 q^{63} + 4 q^{65} - 56 q^{67} + 56 q^{70} + 84 q^{71} - 128 q^{72} - 24 q^{74} + 148 q^{78} - 80 q^{79} + 28 q^{81} - 64 q^{84} + 36 q^{85} - 48 q^{86} - 228 q^{88} - 48 q^{91} + 24 q^{92} + 108 q^{93} - 84 q^{95} - 32 q^{98} - 60 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.607529 2.26733i −0.429588 1.60324i −0.753696 0.657223i \(-0.771731\pi\)
0.324108 0.946020i \(-0.394936\pi\)
\(3\) −2.39046 1.38013i −1.38013 0.796818i −0.387956 0.921678i \(-0.626819\pi\)
−0.992174 + 0.124860i \(0.960152\pi\)
\(4\) −3.03963 + 1.75493i −1.51982 + 0.877467i
\(5\) 1.12678 + 1.12678i 0.503911 + 0.503911i 0.912651 0.408740i \(-0.134032\pi\)
−0.408740 + 0.912651i \(0.634032\pi\)
\(6\) −1.67694 + 6.25841i −0.684607 + 2.55499i
\(7\) −0.437995 2.60925i −0.165547 0.986202i
\(8\) 2.50608 + 2.50608i 0.886032 + 0.886032i
\(9\) 2.30952 + 4.00020i 0.769839 + 1.33340i
\(10\) 1.87023 3.23933i 0.591418 1.02437i
\(11\) −3.03446 + 0.813080i −0.914923 + 0.245153i −0.685414 0.728154i \(-0.740379\pi\)
−0.229509 + 0.973306i \(0.573712\pi\)
\(12\) 9.68815 2.79673
\(13\) −1.04831 3.44979i −0.290748 0.956800i
\(14\) −5.64992 + 2.57827i −1.51000 + 0.689072i
\(15\) −1.13841 4.24862i −0.293937 1.09699i
\(16\) 0.649718 1.12534i 0.162430 0.281336i
\(17\) 0.320795 + 0.555633i 0.0778042 + 0.134761i 0.902302 0.431104i \(-0.141876\pi\)
−0.824498 + 0.565865i \(0.808542\pi\)
\(18\) 7.66667 7.66667i 1.80705 1.80705i
\(19\) 2.04036 7.61472i 0.468090 1.74694i −0.178346 0.983968i \(-0.557075\pi\)
0.646436 0.762968i \(-0.276259\pi\)
\(20\) −5.40242 1.44757i −1.20802 0.323687i
\(21\) −2.55409 + 6.84177i −0.557348 + 1.49300i
\(22\) 3.68704 + 6.38614i 0.786080 + 1.36153i
\(23\) −0.126569 0.0730744i −0.0263914 0.0152371i 0.486746 0.873543i \(-0.338184\pi\)
−0.513138 + 0.858306i \(0.671517\pi\)
\(24\) −2.53195 9.44938i −0.516833 1.92885i
\(25\) 2.46074i 0.492147i
\(26\) −7.18493 + 4.47270i −1.40908 + 0.877169i
\(27\) 4.46896i 0.860051i
\(28\) 5.91040 + 7.16250i 1.11696 + 1.35359i
\(29\) 1.49412 2.58790i 0.277452 0.480561i −0.693299 0.720650i \(-0.743843\pi\)
0.970751 + 0.240089i \(0.0771768\pi\)
\(30\) −8.94139 + 5.16231i −1.63247 + 0.942505i
\(31\) 4.73334 + 4.73334i 0.850132 + 0.850132i 0.990149 0.140017i \(-0.0447156\pi\)
−0.140017 + 0.990149i \(0.544716\pi\)
\(32\) 3.90048 + 1.04513i 0.689514 + 0.184755i
\(33\) 8.37589 + 2.24431i 1.45806 + 0.390685i
\(34\) 1.06491 1.06491i 0.182631 0.182631i
\(35\) 2.44652 3.43357i 0.413537 0.580379i
\(36\) −14.0402 8.10610i −2.34003 1.35102i
\(37\) 3.75725 1.00675i 0.617688 0.165509i 0.0636115 0.997975i \(-0.479738\pi\)
0.554077 + 0.832466i \(0.313071\pi\)
\(38\) −18.5046 −3.00185
\(39\) −2.25523 + 9.69337i −0.361126 + 1.55218i
\(40\) 5.64759i 0.892963i
\(41\) 5.60356 1.50147i 0.875129 0.234490i 0.206825 0.978378i \(-0.433687\pi\)
0.668305 + 0.743888i \(0.267020\pi\)
\(42\) 17.0642 + 1.63438i 2.63307 + 0.252191i
\(43\) 2.42713 1.40130i 0.370133 0.213697i −0.303383 0.952869i \(-0.598116\pi\)
0.673517 + 0.739172i \(0.264783\pi\)
\(44\) 7.79674 7.79674i 1.17540 1.17540i
\(45\) −1.90503 + 7.10966i −0.283985 + 1.05985i
\(46\) −0.0887896 + 0.331367i −0.0130913 + 0.0488574i
\(47\) −2.22937 + 2.22937i −0.325187 + 0.325187i −0.850753 0.525566i \(-0.823854\pi\)
0.525566 + 0.850753i \(0.323854\pi\)
\(48\) −3.10624 + 1.79339i −0.448348 + 0.258854i
\(49\) −6.61632 + 2.28567i −0.945189 + 0.326525i
\(50\) −5.57930 + 1.49497i −0.789032 + 0.211420i
\(51\) 1.77095i 0.247983i
\(52\) 9.24062 + 8.64639i 1.28144 + 1.19904i
\(53\) −7.32119 −1.00564 −0.502821 0.864390i \(-0.667705\pi\)
−0.502821 + 0.864390i \(0.667705\pi\)
\(54\) −10.1326 + 2.71502i −1.37887 + 0.369467i
\(55\) −4.33533 2.50300i −0.584575 0.337505i
\(56\) 5.44132 7.63662i 0.727127 1.02049i
\(57\) −15.3867 + 15.3867i −2.03802 + 2.03802i
\(58\) −6.77534 1.81545i −0.889646 0.238380i
\(59\) −4.00631 1.07349i −0.521578 0.139756i −0.0115814 0.999933i \(-0.503687\pi\)
−0.509996 + 0.860177i \(0.670353\pi\)
\(60\) 10.9164 + 10.9164i 1.40930 + 1.40930i
\(61\) −3.90292 + 2.25335i −0.499718 + 0.288512i −0.728597 0.684942i \(-0.759827\pi\)
0.228879 + 0.973455i \(0.426494\pi\)
\(62\) 7.85639 13.6077i 0.997763 1.72818i
\(63\) 9.42595 7.77817i 1.18756 0.979957i
\(64\) 12.0775i 1.50969i
\(65\) 2.70594 5.06836i 0.335631 0.628653i
\(66\) 20.3544i 2.50545i
\(67\) −0.366486 1.36775i −0.0447734 0.167097i 0.939919 0.341397i \(-0.110900\pi\)
−0.984692 + 0.174301i \(0.944234\pi\)
\(68\) −1.95020 1.12595i −0.236496 0.136541i
\(69\) 0.201704 + 0.349362i 0.0242823 + 0.0420582i
\(70\) −9.27135 3.46107i −1.10814 0.413677i
\(71\) 13.8300 + 3.70574i 1.64132 + 0.439791i 0.957165 0.289544i \(-0.0935038\pi\)
0.684157 + 0.729335i \(0.260170\pi\)
\(72\) −4.23699 + 15.8126i −0.499334 + 1.86354i
\(73\) 4.99083 4.99083i 0.584133 0.584133i −0.351904 0.936036i \(-0.614466\pi\)
0.936036 + 0.351904i \(0.114466\pi\)
\(74\) −4.56527 7.90729i −0.530702 0.919203i
\(75\) −3.39614 + 5.88228i −0.392152 + 0.679227i
\(76\) 7.16138 + 26.7267i 0.821467 + 3.06576i
\(77\) 3.45060 + 7.56152i 0.393233 + 0.861715i
\(78\) 23.3482 0.775656i 2.64366 0.0878258i
\(79\) −0.632916 −0.0712086 −0.0356043 0.999366i \(-0.511336\pi\)
−0.0356043 + 0.999366i \(0.511336\pi\)
\(80\) 2.00010 0.535926i 0.223618 0.0599184i
\(81\) 0.760810 1.31776i 0.0845344 0.146418i
\(82\) −6.80865 11.7929i −0.751890 1.30231i
\(83\) 1.07813 + 1.07813i 0.118340 + 0.118340i 0.763797 0.645457i \(-0.223333\pi\)
−0.645457 + 0.763797i \(0.723333\pi\)
\(84\) −4.24336 25.2788i −0.462989 2.75814i
\(85\) −0.264611 + 0.987541i −0.0287011 + 0.107114i
\(86\) −4.65176 4.65176i −0.501612 0.501612i
\(87\) −7.14327 + 4.12417i −0.765839 + 0.442158i
\(88\) −9.64223 5.56694i −1.02786 0.593438i
\(89\) 3.51557 + 13.1203i 0.372649 + 1.39075i 0.856749 + 0.515734i \(0.172481\pi\)
−0.484099 + 0.875013i \(0.660853\pi\)
\(90\) 17.2773 1.82119
\(91\) −8.54220 + 4.24628i −0.895465 + 0.445131i
\(92\) 0.512963 0.0534801
\(93\) −4.78221 17.8475i −0.495892 1.85069i
\(94\) 6.40911 + 3.70030i 0.661049 + 0.381657i
\(95\) 10.8791 6.28107i 1.11618 0.644425i
\(96\) −7.88151 7.88151i −0.804403 0.804403i
\(97\) 0.0487160 0.181811i 0.00494637 0.0184601i −0.963409 0.268037i \(-0.913625\pi\)
0.968355 + 0.249577i \(0.0802916\pi\)
\(98\) 9.20198 + 13.6128i 0.929540 + 1.37510i
\(99\) −10.2606 10.2606i −1.03123 1.03123i
\(100\) 4.31843 + 7.47974i 0.431843 + 0.747974i
\(101\) −0.596904 + 1.03387i −0.0593942 + 0.102874i −0.894194 0.447680i \(-0.852250\pi\)
0.834799 + 0.550554i \(0.185584\pi\)
\(102\) −4.01534 + 1.07591i −0.397577 + 0.106531i
\(103\) 4.79583 0.472548 0.236274 0.971687i \(-0.424074\pi\)
0.236274 + 0.971687i \(0.424074\pi\)
\(104\) 6.01830 11.2726i 0.590143 1.10537i
\(105\) −10.5871 + 4.83127i −1.03319 + 0.471484i
\(106\) 4.44783 + 16.5995i 0.432012 + 1.61229i
\(107\) −7.64819 + 13.2471i −0.739378 + 1.28064i 0.213397 + 0.976966i \(0.431547\pi\)
−0.952776 + 0.303675i \(0.901786\pi\)
\(108\) 7.84273 + 13.5840i 0.754667 + 1.30712i
\(109\) 9.12415 9.12415i 0.873935 0.873935i −0.118963 0.992899i \(-0.537957\pi\)
0.992899 + 0.118963i \(0.0379571\pi\)
\(110\) −3.04129 + 11.3503i −0.289976 + 1.08220i
\(111\) −10.3710 2.77890i −0.984370 0.263761i
\(112\) −3.22087 1.20238i −0.304344 0.113614i
\(113\) −0.770731 1.33494i −0.0725042 0.125581i 0.827494 0.561475i \(-0.189766\pi\)
−0.899998 + 0.435894i \(0.856432\pi\)
\(114\) 44.2345 + 25.5388i 4.14294 + 2.39193i
\(115\) −0.0602761 0.224953i −0.00562078 0.0209770i
\(116\) 10.4884i 0.973819i
\(117\) 11.3788 12.1608i 1.05197 1.12427i
\(118\) 9.73580i 0.896253i
\(119\) 1.30928 1.08040i 0.120021 0.0990399i
\(120\) 7.79441 13.5003i 0.711529 1.23240i
\(121\) −0.979449 + 0.565485i −0.0890408 + 0.0514077i
\(122\) 7.48023 + 7.48023i 0.677228 + 0.677228i
\(123\) −15.4673 4.14445i −1.39464 0.373692i
\(124\) −22.6943 6.08092i −2.03801 0.546083i
\(125\) 8.40660 8.40660i 0.751910 0.751910i
\(126\) −23.3622 16.6463i −2.08127 1.48297i
\(127\) 2.81842 + 1.62722i 0.250095 + 0.144392i 0.619808 0.784754i \(-0.287211\pi\)
−0.369713 + 0.929146i \(0.620544\pi\)
\(128\) −19.5827 + 5.24716i −1.73088 + 0.463788i
\(129\) −7.73592 −0.681110
\(130\) −13.1356 3.05608i −1.15207 0.268036i
\(131\) 16.4678i 1.43880i −0.694597 0.719400i \(-0.744417\pi\)
0.694597 0.719400i \(-0.255583\pi\)
\(132\) −29.3983 + 7.87724i −2.55879 + 0.685626i
\(133\) −20.7623 1.98858i −1.80032 0.172432i
\(134\) −2.87848 + 1.66189i −0.248663 + 0.143565i
\(135\) 5.03553 5.03553i 0.433389 0.433389i
\(136\) −0.588523 + 2.19640i −0.0504654 + 0.188339i
\(137\) −0.0978163 + 0.365056i −0.00835701 + 0.0311888i −0.969978 0.243191i \(-0.921806\pi\)
0.961621 + 0.274380i \(0.0884725\pi\)
\(138\) 0.669577 0.669577i 0.0569982 0.0569982i
\(139\) −8.52132 + 4.91978i −0.722769 + 0.417291i −0.815771 0.578375i \(-0.803687\pi\)
0.0930022 + 0.995666i \(0.470354\pi\)
\(140\) −1.41084 + 14.7303i −0.119238 + 1.24494i
\(141\) 8.40602 2.25239i 0.707914 0.189685i
\(142\) 33.6085i 2.82037i
\(143\) 5.98600 + 9.61588i 0.500574 + 0.804121i
\(144\) 6.00214 0.500179
\(145\) 4.59954 1.23244i 0.381971 0.102349i
\(146\) −14.3479 8.28378i −1.18744 0.685570i
\(147\) 18.9705 + 3.66758i 1.56466 + 0.302497i
\(148\) −9.65388 + 9.65388i −0.793544 + 0.793544i
\(149\) −5.36436 1.43738i −0.439465 0.117754i 0.0323006 0.999478i \(-0.489717\pi\)
−0.471766 + 0.881724i \(0.656383\pi\)
\(150\) 15.4003 + 4.12650i 1.25743 + 0.336927i
\(151\) 3.35521 + 3.35521i 0.273043 + 0.273043i 0.830324 0.557281i \(-0.188155\pi\)
−0.557281 + 0.830324i \(0.688155\pi\)
\(152\) 24.1964 13.9698i 1.96258 1.13310i
\(153\) −1.48176 + 2.56649i −0.119793 + 0.207488i
\(154\) 15.0481 12.4175i 1.21261 1.00063i
\(155\) 10.6669i 0.856782i
\(156\) −10.1561 33.4221i −0.813143 2.67591i
\(157\) 12.6201i 1.00720i 0.863938 + 0.503598i \(0.167991\pi\)
−0.863938 + 0.503598i \(0.832009\pi\)
\(158\) 0.384515 + 1.43503i 0.0305904 + 0.114165i
\(159\) 17.5010 + 10.1042i 1.38792 + 0.801314i
\(160\) 3.21735 + 5.57262i 0.254354 + 0.440554i
\(161\) −0.135233 + 0.362255i −0.0106578 + 0.0285497i
\(162\) −3.45001 0.924428i −0.271058 0.0726299i
\(163\) −3.37843 + 12.6085i −0.264619 + 0.987571i 0.697864 + 0.716230i \(0.254134\pi\)
−0.962483 + 0.271341i \(0.912533\pi\)
\(164\) −14.3978 + 14.3978i −1.12428 + 1.12428i
\(165\) 6.90893 + 11.9666i 0.537860 + 0.931601i
\(166\) 1.78948 3.09948i 0.138891 0.240566i
\(167\) −4.79697 17.9025i −0.371201 1.38534i −0.858817 0.512282i \(-0.828800\pi\)
0.487616 0.873058i \(-0.337867\pi\)
\(168\) −23.5468 + 10.7453i −1.81667 + 0.829016i
\(169\) −10.8021 + 7.23288i −0.830931 + 0.556375i
\(170\) 2.39984 0.184059
\(171\) 35.1726 9.42448i 2.68972 0.720708i
\(172\) −4.91839 + 8.51890i −0.375024 + 0.649560i
\(173\) −2.79684 4.84427i −0.212640 0.368303i 0.739900 0.672717i \(-0.234873\pi\)
−0.952540 + 0.304414i \(0.901540\pi\)
\(174\) 13.6906 + 13.6906i 1.03788 + 1.03788i
\(175\) −6.42067 + 1.07779i −0.485357 + 0.0814734i
\(176\) −1.05655 + 3.94308i −0.0796402 + 0.297221i
\(177\) 8.09536 + 8.09536i 0.608485 + 0.608485i
\(178\) 27.6122 15.9419i 2.06962 1.19490i
\(179\) 8.21928 + 4.74540i 0.614338 + 0.354688i 0.774661 0.632377i \(-0.217920\pi\)
−0.160324 + 0.987065i \(0.551254\pi\)
\(180\) −6.68640 24.9540i −0.498375 1.85996i
\(181\) 6.91516 0.514000 0.257000 0.966411i \(-0.417266\pi\)
0.257000 + 0.966411i \(0.417266\pi\)
\(182\) 14.8173 + 16.7882i 1.09833 + 1.24443i
\(183\) 12.4397 0.919568
\(184\) −0.134060 0.500321i −0.00988307 0.0368841i
\(185\) 5.36798 + 3.09920i 0.394662 + 0.227858i
\(186\) −37.5607 + 21.6857i −2.75408 + 1.59007i
\(187\) −1.42521 1.42521i −0.104222 0.104222i
\(188\) 2.86407 10.6889i 0.208884 0.779565i
\(189\) −11.6606 + 1.95738i −0.848184 + 0.142379i
\(190\) −20.8506 20.8506i −1.51266 1.51266i
\(191\) 1.25251 + 2.16942i 0.0906287 + 0.156974i 0.907776 0.419456i \(-0.137779\pi\)
−0.817147 + 0.576429i \(0.804446\pi\)
\(192\) −16.6685 + 28.8707i −1.20295 + 2.08356i
\(193\) 21.7882 5.83813i 1.56835 0.420238i 0.633054 0.774108i \(-0.281801\pi\)
0.935295 + 0.353870i \(0.115134\pi\)
\(194\) −0.441821 −0.0317209
\(195\) −13.4634 + 8.38114i −0.964136 + 0.600186i
\(196\) 16.1000 18.5588i 1.15000 1.32563i
\(197\) −4.63560 17.3003i −0.330273 1.23259i −0.908904 0.417005i \(-0.863080\pi\)
0.578631 0.815589i \(-0.303587\pi\)
\(198\) −17.0306 + 29.4978i −1.21031 + 2.09632i
\(199\) −8.20617 14.2135i −0.581720 1.00757i −0.995276 0.0970896i \(-0.969047\pi\)
0.413556 0.910479i \(-0.364287\pi\)
\(200\) 6.16680 6.16680i 0.436058 0.436058i
\(201\) −1.01160 + 3.77533i −0.0713526 + 0.266291i
\(202\) 2.70675 + 0.725273i 0.190447 + 0.0510300i
\(203\) −7.40688 2.76505i −0.519861 0.194068i
\(204\) 3.10791 + 5.38306i 0.217597 + 0.376889i
\(205\) 8.00580 + 4.62215i 0.559150 + 0.322825i
\(206\) −2.91361 10.8737i −0.203001 0.757609i
\(207\) 0.675066i 0.0469203i
\(208\) −4.56331 1.06169i −0.316408 0.0736146i
\(209\) 24.7655i 1.71307i
\(210\) 17.3860 + 21.0692i 1.19975 + 1.45391i
\(211\) 4.93176 8.54207i 0.339517 0.588060i −0.644825 0.764330i \(-0.723070\pi\)
0.984342 + 0.176270i \(0.0564032\pi\)
\(212\) 22.2537 12.8482i 1.52839 0.882418i
\(213\) −27.9456 27.9456i −1.91480 1.91480i
\(214\) 34.6819 + 9.29299i 2.37081 + 0.635256i
\(215\) 4.31380 + 1.15588i 0.294198 + 0.0788302i
\(216\) 11.1996 11.1996i 0.762033 0.762033i
\(217\) 10.2773 14.4236i 0.697666 0.979139i
\(218\) −26.2306 15.1443i −1.77656 1.02570i
\(219\) −18.8184 + 5.04236i −1.27163 + 0.340731i
\(220\) 17.5704 1.18460
\(221\) 1.58053 1.68915i 0.106318 0.113624i
\(222\) 25.2027i 1.69149i
\(223\) −8.41926 + 2.25594i −0.563796 + 0.151069i −0.529450 0.848341i \(-0.677602\pi\)
−0.0343461 + 0.999410i \(0.510935\pi\)
\(224\) 1.01861 10.6351i 0.0680588 0.710586i
\(225\) 9.84344 5.68312i 0.656230 0.378874i
\(226\) −2.55852 + 2.55852i −0.170190 + 0.170190i
\(227\) 4.37226 16.3175i 0.290197 1.08303i −0.654760 0.755837i \(-0.727230\pi\)
0.944957 0.327194i \(-0.106103\pi\)
\(228\) 19.7673 73.7725i 1.30912 4.88570i
\(229\) 1.72909 1.72909i 0.114262 0.114262i −0.647664 0.761926i \(-0.724254\pi\)
0.761926 + 0.647664i \(0.224254\pi\)
\(230\) −0.473424 + 0.273331i −0.0312166 + 0.0180229i
\(231\) 2.18736 22.8378i 0.143918 1.50261i
\(232\) 10.2299 2.74108i 0.671624 0.179961i
\(233\) 5.37483i 0.352117i 0.984380 + 0.176058i \(0.0563348\pi\)
−0.984380 + 0.176058i \(0.943665\pi\)
\(234\) −34.4854 18.4114i −2.25438 1.20359i
\(235\) −5.02401 −0.327730
\(236\) 14.0616 3.76780i 0.915334 0.245263i
\(237\) 1.51296 + 0.873507i 0.0982772 + 0.0567404i
\(238\) −3.24504 2.31219i −0.210345 0.149877i
\(239\) −11.9572 + 11.9572i −0.773448 + 0.773448i −0.978708 0.205260i \(-0.934196\pi\)
0.205260 + 0.978708i \(0.434196\pi\)
\(240\) −5.52081 1.47930i −0.356367 0.0954882i
\(241\) 12.9893 + 3.48047i 0.836713 + 0.224197i 0.651640 0.758528i \(-0.274081\pi\)
0.185073 + 0.982725i \(0.440748\pi\)
\(242\) 1.87718 + 1.87718i 0.120670 + 0.120670i
\(243\) −15.2481 + 8.80347i −0.978163 + 0.564743i
\(244\) 7.90898 13.6987i 0.506320 0.876972i
\(245\) −10.0306 4.87968i −0.640830 0.311751i
\(246\) 37.5873i 2.39648i
\(247\) −28.4081 + 0.943754i −1.80756 + 0.0600496i
\(248\) 23.7242i 1.50649i
\(249\) −1.08926 4.06519i −0.0690293 0.257621i
\(250\) −24.1678 13.9533i −1.52850 0.882483i
\(251\) 6.40248 + 11.0894i 0.404121 + 0.699958i 0.994219 0.107374i \(-0.0342441\pi\)
−0.590098 + 0.807332i \(0.700911\pi\)
\(252\) −15.0013 + 40.1847i −0.944991 + 2.53140i
\(253\) 0.443482 + 0.118831i 0.0278815 + 0.00747082i
\(254\) 1.97716 7.37887i 0.124058 0.462992i
\(255\) 1.99548 1.99548i 0.124962 0.124962i
\(256\) 11.7166 + 20.2937i 0.732286 + 1.26836i
\(257\) 5.19036 8.98997i 0.323766 0.560779i −0.657496 0.753458i \(-0.728384\pi\)
0.981262 + 0.192679i \(0.0617176\pi\)
\(258\) 4.69979 + 17.5399i 0.292596 + 1.09198i
\(259\) −4.27252 9.36263i −0.265482 0.581766i
\(260\) 0.669566 + 20.1547i 0.0415247 + 1.24994i
\(261\) 13.8028 0.854373
\(262\) −37.3379 + 10.0047i −2.30674 + 0.618090i
\(263\) 2.18977 3.79279i 0.135027 0.233873i −0.790581 0.612358i \(-0.790221\pi\)
0.925608 + 0.378484i \(0.123555\pi\)
\(264\) 15.3662 + 26.6151i 0.945725 + 1.63804i
\(265\) −8.24936 8.24936i −0.506754 0.506754i
\(266\) 8.10494 + 48.2831i 0.496946 + 2.96043i
\(267\) 9.70388 36.2154i 0.593868 2.21635i
\(268\) 3.51429 + 3.51429i 0.214669 + 0.214669i
\(269\) −10.1192 + 5.84233i −0.616980 + 0.356213i −0.775692 0.631112i \(-0.782599\pi\)
0.158713 + 0.987325i \(0.449266\pi\)
\(270\) −14.4764 8.35797i −0.881007 0.508650i
\(271\) 7.94389 + 29.6470i 0.482557 + 1.80093i 0.590819 + 0.806804i \(0.298805\pi\)
−0.108262 + 0.994122i \(0.534529\pi\)
\(272\) 0.833705 0.0505508
\(273\) 26.2802 + 1.63880i 1.59055 + 0.0991844i
\(274\) 0.887127 0.0535933
\(275\) 2.00078 + 7.46700i 0.120651 + 0.450277i
\(276\) −1.22621 0.707955i −0.0738094 0.0426139i
\(277\) −16.5109 + 9.53260i −0.992047 + 0.572758i −0.905885 0.423523i \(-0.860793\pi\)
−0.0861613 + 0.996281i \(0.527460\pi\)
\(278\) 16.3317 + 16.3317i 0.979511 + 0.979511i
\(279\) −8.00258 + 29.8660i −0.479102 + 1.78803i
\(280\) 14.7360 2.47362i 0.880642 0.147827i
\(281\) 11.8671 + 11.8671i 0.707931 + 0.707931i 0.966100 0.258169i \(-0.0831190\pi\)
−0.258169 + 0.966100i \(0.583119\pi\)
\(282\) −10.2138 17.6908i −0.608223 1.05347i
\(283\) 4.21864 7.30690i 0.250772 0.434350i −0.712966 0.701198i \(-0.752649\pi\)
0.963739 + 0.266848i \(0.0859821\pi\)
\(284\) −48.5415 + 13.0067i −2.88041 + 0.771804i
\(285\) −34.6748 −2.05396
\(286\) 18.1657 19.4141i 1.07416 1.14798i
\(287\) −6.37204 13.9634i −0.376129 0.824235i
\(288\) 4.82750 + 18.0165i 0.284463 + 1.06163i
\(289\) 8.29418 14.3659i 0.487893 0.845055i
\(290\) −5.58870 9.67992i −0.328180 0.568424i
\(291\) −0.367376 + 0.367376i −0.0215360 + 0.0215360i
\(292\) −6.41172 + 23.9289i −0.375218 + 1.40033i
\(293\) −8.00676 2.14541i −0.467760 0.125336i 0.0172376 0.999851i \(-0.494513\pi\)
−0.484998 + 0.874516i \(0.661180\pi\)
\(294\) −3.20954 45.2406i −0.187184 2.63849i
\(295\) −3.30465 5.72382i −0.192404 0.333253i
\(296\) 11.9390 + 6.89296i 0.693938 + 0.400645i
\(297\) 3.63362 + 13.5609i 0.210844 + 0.786881i
\(298\) 13.0360i 0.755156i
\(299\) −0.119409 + 0.513239i −0.00690558 + 0.0296814i
\(300\) 23.8400i 1.37640i
\(301\) −4.71941 5.71921i −0.272022 0.329650i
\(302\) 5.56897 9.64574i 0.320458 0.555050i
\(303\) 2.85375 1.64761i 0.163943 0.0946528i
\(304\) −7.24353 7.24353i −0.415445 0.415445i
\(305\) −6.93677 1.85870i −0.397198 0.106429i
\(306\) 6.71929 + 1.80043i 0.384116 + 0.102924i
\(307\) −17.3438 + 17.3438i −0.989863 + 0.989863i −0.999949 0.0100865i \(-0.996789\pi\)
0.0100865 + 0.999949i \(0.496789\pi\)
\(308\) −23.7585 16.9287i −1.35377 0.964600i
\(309\) −11.4642 6.61887i −0.652177 0.376535i
\(310\) 24.1853 6.48042i 1.37363 0.368063i
\(311\) 23.7121 1.34459 0.672294 0.740284i \(-0.265309\pi\)
0.672294 + 0.740284i \(0.265309\pi\)
\(312\) −29.9441 + 18.6406i −1.69525 + 1.05531i
\(313\) 14.0715i 0.795366i −0.917523 0.397683i \(-0.869814\pi\)
0.917523 0.397683i \(-0.130186\pi\)
\(314\) 28.6140 7.66709i 1.61478 0.432679i
\(315\) 19.3852 + 1.85669i 1.09223 + 0.104612i
\(316\) 1.92383 1.11073i 0.108224 0.0624832i
\(317\) 11.8369 11.8369i 0.664828 0.664828i −0.291686 0.956514i \(-0.594216\pi\)
0.956514 + 0.291686i \(0.0942163\pi\)
\(318\) 12.2772 45.8190i 0.688470 2.56940i
\(319\) −2.42969 + 9.06771i −0.136036 + 0.507694i
\(320\) 13.6087 13.6087i 0.760748 0.760748i
\(321\) 36.5653 21.1110i 2.04088 1.17830i
\(322\) 0.903508 + 0.0865365i 0.0503505 + 0.00482249i
\(323\) 4.88553 1.30907i 0.271838 0.0728388i
\(324\) 5.34068i 0.296705i
\(325\) −8.48903 + 2.57961i −0.470886 + 0.143091i
\(326\) 30.6400 1.69699
\(327\) −34.4034 + 9.21836i −1.90251 + 0.509777i
\(328\) 17.8058 + 10.2802i 0.983159 + 0.567627i
\(329\) 6.79342 + 4.84051i 0.374533 + 0.266866i
\(330\) 22.9349 22.9349i 1.26252 1.26252i
\(331\) 9.34837 + 2.50489i 0.513833 + 0.137681i 0.506413 0.862291i \(-0.330971\pi\)
0.00742049 + 0.999972i \(0.497638\pi\)
\(332\) −5.16918 1.38508i −0.283696 0.0760160i
\(333\) 12.7046 + 12.7046i 0.696210 + 0.696210i
\(334\) −37.6766 + 21.7526i −2.06157 + 1.19025i
\(335\) 1.12820 1.95410i 0.0616401 0.106764i
\(336\) 6.03992 + 7.31946i 0.329505 + 0.399309i
\(337\) 20.0838i 1.09403i 0.837122 + 0.547016i \(0.184236\pi\)
−0.837122 + 0.547016i \(0.815764\pi\)
\(338\) 22.9619 + 20.0977i 1.24896 + 1.09317i
\(339\) 4.25483i 0.231091i
\(340\) −0.928749 3.46614i −0.0503685 0.187978i
\(341\) −18.2117 10.5145i −0.986218 0.569393i
\(342\) −42.7368 74.0223i −2.31094 4.00267i
\(343\) 8.86180 + 16.2625i 0.478492 + 0.878092i
\(344\) 9.59434 + 2.57080i 0.517292 + 0.138608i
\(345\) −0.166378 + 0.620930i −0.00895748 + 0.0334298i
\(346\) −9.28440 + 9.28440i −0.499132 + 0.499132i
\(347\) 11.1008 + 19.2271i 0.595920 + 1.03216i 0.993416 + 0.114560i \(0.0365458\pi\)
−0.397496 + 0.917604i \(0.630121\pi\)
\(348\) 14.4753 25.0719i 0.775957 1.34400i
\(349\) −1.38593 5.17235i −0.0741869 0.276869i 0.918861 0.394582i \(-0.129111\pi\)
−0.993048 + 0.117713i \(0.962444\pi\)
\(350\) 6.34444 + 13.9030i 0.339125 + 0.743145i
\(351\) −15.4170 + 4.68484i −0.822897 + 0.250058i
\(352\) −12.6856 −0.676146
\(353\) −25.2105 + 6.75514i −1.34182 + 0.359540i −0.857110 0.515134i \(-0.827742\pi\)
−0.484712 + 0.874674i \(0.661075\pi\)
\(354\) 13.4367 23.2730i 0.714151 1.23695i
\(355\) 11.4078 + 19.7589i 0.605465 + 1.04870i
\(356\) −33.7113 33.7113i −1.78669 1.78669i
\(357\) −4.62086 + 0.775670i −0.244562 + 0.0410528i
\(358\) 5.76594 21.5188i 0.304739 1.13730i
\(359\) −16.0116 16.0116i −0.845061 0.845061i 0.144451 0.989512i \(-0.453858\pi\)
−0.989512 + 0.144451i \(0.953858\pi\)
\(360\) −22.5915 + 13.0432i −1.19068 + 0.687438i
\(361\) −37.3664 21.5735i −1.96665 1.13545i
\(362\) −4.20116 15.6789i −0.220808 0.824066i
\(363\) 3.12177 0.163850
\(364\) 18.5132 27.8981i 0.970356 1.46226i
\(365\) 11.2471 0.588702
\(366\) −7.55747 28.2049i −0.395035 1.47429i
\(367\) 12.2942 + 7.09806i 0.641752 + 0.370516i 0.785289 0.619129i \(-0.212514\pi\)
−0.143537 + 0.989645i \(0.545848\pi\)
\(368\) −0.164468 + 0.0949555i −0.00857347 + 0.00494990i
\(369\) 18.9477 + 18.9477i 0.986378 + 0.986378i
\(370\) 3.76571 14.0538i 0.195770 0.730624i
\(371\) 3.20665 + 19.1028i 0.166481 + 0.991767i
\(372\) 45.8573 + 45.8573i 2.37759 + 2.37759i
\(373\) −1.75321 3.03665i −0.0907778 0.157232i 0.817061 0.576551i \(-0.195602\pi\)
−0.907839 + 0.419320i \(0.862269\pi\)
\(374\) −2.36557 + 4.09728i −0.122321 + 0.211865i
\(375\) −31.6978 + 8.49340i −1.63687 + 0.438598i
\(376\) −11.1739 −0.576252
\(377\) −10.4940 2.44150i −0.540469 0.125744i
\(378\) 11.5222 + 25.2493i 0.592637 + 1.29868i
\(379\) 6.94797 + 25.9302i 0.356893 + 1.33194i 0.878085 + 0.478504i \(0.158821\pi\)
−0.521192 + 0.853439i \(0.674513\pi\)
\(380\) −22.0457 + 38.1843i −1.13092 + 1.95882i
\(381\) −4.49154 7.77958i −0.230109 0.398560i
\(382\) 4.15784 4.15784i 0.212734 0.212734i
\(383\) 8.83941 32.9891i 0.451673 1.68567i −0.246017 0.969266i \(-0.579122\pi\)
0.697690 0.716400i \(-0.254211\pi\)
\(384\) 54.0533 + 14.4835i 2.75839 + 0.739110i
\(385\) −4.63209 + 12.4082i −0.236073 + 0.632382i
\(386\) −26.4739 45.8542i −1.34749 2.33392i
\(387\) 11.2110 + 6.47267i 0.569887 + 0.329024i
\(388\) 0.170987 + 0.638132i 0.00868054 + 0.0323962i
\(389\) 27.4644i 1.39250i −0.717798 0.696251i \(-0.754850\pi\)
0.717798 0.696251i \(-0.245150\pi\)
\(390\) 27.1822 + 25.4342i 1.37643 + 1.28791i
\(391\) 0.0937676i 0.00474203i
\(392\) −22.3091 10.8529i −1.12678 0.548156i
\(393\) −22.7277 + 39.3656i −1.14646 + 1.98573i
\(394\) −36.4092 + 21.0208i −1.83427 + 1.05901i
\(395\) −0.713157 0.713157i −0.0358828 0.0358828i
\(396\) 49.1952 + 13.1818i 2.47215 + 0.662412i
\(397\) 35.8032 + 9.59343i 1.79691 + 0.481480i 0.993489 0.113932i \(-0.0363446\pi\)
0.803420 + 0.595412i \(0.203011\pi\)
\(398\) −27.2412 + 27.2412i −1.36548 + 1.36548i
\(399\) 46.8869 + 33.4083i 2.34728 + 1.67251i
\(400\) −2.76918 1.59879i −0.138459 0.0799393i
\(401\) −16.7841 + 4.49729i −0.838158 + 0.224584i −0.652269 0.757987i \(-0.726183\pi\)
−0.185888 + 0.982571i \(0.559516\pi\)
\(402\) 9.17449 0.457582
\(403\) 11.3670 21.2910i 0.566232 1.06058i
\(404\) 4.19011i 0.208466i
\(405\) 2.34209 0.627561i 0.116379 0.0311838i
\(406\) −1.76938 + 18.4737i −0.0878128 + 0.916833i
\(407\) −10.5826 + 6.10989i −0.524562 + 0.302856i
\(408\) 4.43815 4.43815i 0.219721 0.219721i
\(409\) 2.92033 10.8988i 0.144401 0.538913i −0.855380 0.518001i \(-0.826676\pi\)
0.999781 0.0209119i \(-0.00665695\pi\)
\(410\) 5.61618 20.9599i 0.277363 1.03513i
\(411\) 0.737650 0.737650i 0.0363856 0.0363856i
\(412\) −14.5776 + 8.41637i −0.718186 + 0.414645i
\(413\) −1.04625 + 10.9236i −0.0514825 + 0.537517i
\(414\) −1.53060 + 0.410122i −0.0752247 + 0.0201564i
\(415\) 2.42963i 0.119266i
\(416\) −0.483418 14.5515i −0.0237015 0.713444i
\(417\) 27.1598 1.33002
\(418\) 56.1515 15.0458i 2.74646 0.735912i
\(419\) 16.1248 + 9.30964i 0.787747 + 0.454806i 0.839169 0.543871i \(-0.183042\pi\)
−0.0514220 + 0.998677i \(0.516375\pi\)
\(420\) 23.7022 33.2649i 1.15655 1.62316i
\(421\) 18.9024 18.9024i 0.921247 0.921247i −0.0758709 0.997118i \(-0.524174\pi\)
0.997118 + 0.0758709i \(0.0241737\pi\)
\(422\) −22.3639 5.99238i −1.08866 0.291704i
\(423\) −14.0667 3.76916i −0.683945 0.183263i
\(424\) −18.3475 18.3475i −0.891032 0.891032i
\(425\) 1.36727 0.789392i 0.0663222 0.0382911i
\(426\) −46.3841 + 80.3397i −2.24732 + 3.89247i
\(427\) 7.58902 + 9.19673i 0.367258 + 0.445061i
\(428\) 53.6883i 2.59512i
\(429\) −1.03809 31.2478i −0.0501196 1.50866i
\(430\) 10.4830i 0.505536i
\(431\) −7.64079 28.5158i −0.368044 1.37356i −0.863247 0.504782i \(-0.831573\pi\)
0.495203 0.868777i \(-0.335094\pi\)
\(432\) −5.02912 2.90356i −0.241964 0.139698i
\(433\) 17.9660 + 31.1180i 0.863390 + 1.49543i 0.868637 + 0.495449i \(0.164996\pi\)
−0.00524758 + 0.999986i \(0.501670\pi\)
\(434\) −38.9468 14.5392i −1.86951 0.697902i
\(435\) −12.6959 3.40186i −0.608723 0.163107i
\(436\) −11.7218 + 43.7464i −0.561373 + 2.09507i
\(437\) −0.814686 + 0.814686i −0.0389717 + 0.0389717i
\(438\) 22.8654 + 39.6040i 1.09255 + 1.89235i
\(439\) −4.87991 + 8.45226i −0.232906 + 0.403404i −0.958662 0.284548i \(-0.908157\pi\)
0.725756 + 0.687952i \(0.241490\pi\)
\(440\) −4.59195 17.1374i −0.218912 0.816992i
\(441\) −24.4237 21.1878i −1.16303 1.00894i
\(442\) −4.79007 2.55737i −0.227840 0.121641i
\(443\) 38.7798 1.84248 0.921241 0.388992i \(-0.127176\pi\)
0.921241 + 0.388992i \(0.127176\pi\)
\(444\) 36.4008 9.75356i 1.72751 0.462884i
\(445\) −10.8224 + 18.7449i −0.513030 + 0.888595i
\(446\) 10.2299 + 17.7187i 0.484399 + 0.839004i
\(447\) 10.8395 + 10.8395i 0.512690 + 0.512690i
\(448\) −31.5131 + 5.28989i −1.48886 + 0.249924i
\(449\) −2.42216 + 9.03963i −0.114309 + 0.426606i −0.999234 0.0391263i \(-0.987543\pi\)
0.884925 + 0.465733i \(0.154209\pi\)
\(450\) −18.8657 18.8657i −0.889336 0.889336i
\(451\) −15.7830 + 9.11229i −0.743190 + 0.429081i
\(452\) 4.68548 + 2.70516i 0.220386 + 0.127240i
\(453\) −3.38985 12.6511i −0.159269 0.594400i
\(454\) −39.6534 −1.86103
\(455\) −14.4098 4.84055i −0.675541 0.226928i
\(456\) −77.1204 −3.61150
\(457\) 4.97477 + 18.5661i 0.232710 + 0.868485i 0.979168 + 0.203053i \(0.0650863\pi\)
−0.746458 + 0.665433i \(0.768247\pi\)
\(458\) −4.97089 2.86995i −0.232275 0.134104i
\(459\) 2.48310 1.43362i 0.115901 0.0669156i
\(460\) 0.577996 + 0.577996i 0.0269492 + 0.0269492i
\(461\) 3.50466 13.0796i 0.163228 0.609175i −0.835031 0.550202i \(-0.814551\pi\)
0.998260 0.0589733i \(-0.0187827\pi\)
\(462\) −53.1096 + 8.91512i −2.47088 + 0.414769i
\(463\) −14.6336 14.6336i −0.680081 0.680081i 0.279937 0.960018i \(-0.409686\pi\)
−0.960018 + 0.279937i \(0.909686\pi\)
\(464\) −1.94152 3.36281i −0.0901328 0.156115i
\(465\) 14.7216 25.4986i 0.682700 1.18247i
\(466\) 12.1865 3.26536i 0.564529 0.151265i
\(467\) −30.9732 −1.43327 −0.716634 0.697449i \(-0.754318\pi\)
−0.716634 + 0.697449i \(0.754318\pi\)
\(468\) −13.2459 + 56.9334i −0.612294 + 2.63175i
\(469\) −3.40826 + 1.55532i −0.157379 + 0.0718179i
\(470\) 3.05223 + 11.3911i 0.140789 + 0.525431i
\(471\) 17.4174 30.1678i 0.802552 1.39006i
\(472\) −7.34989 12.7304i −0.338306 0.585963i
\(473\) −6.22564 + 6.22564i −0.286255 + 0.286255i
\(474\) 1.06136 3.96105i 0.0487499 0.181937i
\(475\) −18.7378 5.02078i −0.859750 0.230369i
\(476\) −2.08370 + 5.58171i −0.0955061 + 0.255837i
\(477\) −16.9084 29.2862i −0.774183 1.34092i
\(478\) 34.3753 + 19.8466i 1.57229 + 0.907761i
\(479\) −1.90105 7.09483i −0.0868613 0.324171i 0.908799 0.417235i \(-0.137001\pi\)
−0.995660 + 0.0930636i \(0.970334\pi\)
\(480\) 17.7614i 0.810696i
\(481\) −7.41183 11.9063i −0.337951 0.542882i
\(482\) 31.5654i 1.43777i
\(483\) 0.823226 0.679315i 0.0374581 0.0309099i
\(484\) 1.98478 3.43773i 0.0902171 0.156261i
\(485\) 0.259753 0.149968i 0.0117948 0.00680971i
\(486\) 29.2240 + 29.2240i 1.32563 + 1.32563i
\(487\) 9.52611 + 2.55251i 0.431669 + 0.115665i 0.468110 0.883670i \(-0.344935\pi\)
−0.0364405 + 0.999336i \(0.511602\pi\)
\(488\) −15.4281 4.13395i −0.698398 0.187135i
\(489\) 25.4773 25.4773i 1.15212 1.15212i
\(490\) −4.96997 + 25.7072i −0.224521 + 1.16133i
\(491\) 33.1372 + 19.1318i 1.49546 + 0.863404i 0.999986 0.00521946i \(-0.00166141\pi\)
0.495473 + 0.868623i \(0.334995\pi\)
\(492\) 54.2881 14.5465i 2.44750 0.655805i
\(493\) 1.91723 0.0863477
\(494\) 19.3985 + 63.8371i 0.872781 + 2.87217i
\(495\) 23.1229i 1.03930i
\(496\) 8.40197 2.25130i 0.377260 0.101086i
\(497\) 3.61171 37.7090i 0.162007 1.69148i
\(498\) −8.55536 + 4.93944i −0.383375 + 0.221342i
\(499\) 0.00102712 0.00102712i 4.59801e−5 4.59801e-5i −0.707084 0.707130i \(-0.749990\pi\)
0.707130 + 0.707084i \(0.249990\pi\)
\(500\) −10.8000 + 40.3060i −0.482989 + 1.80254i
\(501\) −13.2409 + 49.4157i −0.591559 + 2.20773i
\(502\) 21.2537 21.2537i 0.948598 0.948598i
\(503\) −21.6205 + 12.4826i −0.964012 + 0.556573i −0.897406 0.441206i \(-0.854551\pi\)
−0.0666068 + 0.997779i \(0.521217\pi\)
\(504\) 43.1149 + 4.12947i 1.92049 + 0.183941i
\(505\) −1.83752 + 0.492362i −0.0817686 + 0.0219098i
\(506\) 1.07771i 0.0479102i
\(507\) 35.8043 2.38156i 1.59012 0.105769i
\(508\) −11.4226 −0.506798
\(509\) 2.53176 0.678383i 0.112218 0.0300688i −0.202273 0.979329i \(-0.564833\pi\)
0.314491 + 0.949260i \(0.398166\pi\)
\(510\) −5.73671 3.31209i −0.254026 0.146662i
\(511\) −15.2083 10.8363i −0.672774 0.479372i
\(512\) 10.2233 10.2233i 0.451811 0.451811i
\(513\) −34.0299 9.11827i −1.50245 0.402582i
\(514\) −23.5365 6.30659i −1.03815 0.278172i
\(515\) 5.40385 + 5.40385i 0.238122 + 0.238122i
\(516\) 23.5144 13.5760i 1.03516 0.597651i
\(517\) 4.95226 8.57757i 0.217800 0.377241i
\(518\) −18.6325 + 15.3753i −0.818664 + 0.675551i
\(519\) 15.4400i 0.677742i
\(520\) 19.4830 5.92041i 0.854387 0.259627i
\(521\) 29.8603i 1.30820i 0.756406 + 0.654102i \(0.226953\pi\)
−0.756406 + 0.654102i \(0.773047\pi\)
\(522\) −8.38561 31.2955i −0.367028 1.36977i
\(523\) 13.9268 + 8.04062i 0.608975 + 0.351592i 0.772564 0.634937i \(-0.218974\pi\)
−0.163589 + 0.986529i \(0.552307\pi\)
\(524\) 28.8999 + 50.0561i 1.26250 + 2.18671i
\(525\) 16.8358 + 6.28494i 0.734775 + 0.274297i
\(526\) −9.92985 2.66069i −0.432962 0.116012i
\(527\) −1.11157 + 4.14843i −0.0484207 + 0.180708i
\(528\) 7.96760 7.96760i 0.346745 0.346745i
\(529\) −11.4893 19.9001i −0.499536 0.865221i
\(530\) −13.6923 + 23.7157i −0.594755 + 1.03015i
\(531\) −4.95848 18.5053i −0.215180 0.803062i
\(532\) 66.5997 30.3920i 2.88746 1.31766i
\(533\) −11.0540 17.7571i −0.478802 0.769146i
\(534\) −88.0075 −3.80846
\(535\) −23.5443 + 6.30868i −1.01791 + 0.272748i
\(536\) 2.50923 4.34612i 0.108382 0.187724i
\(537\) −13.0985 22.6873i −0.565244 0.979031i
\(538\) 19.3942 + 19.3942i 0.836143 + 0.836143i
\(539\) 18.2185 12.3154i 0.784727 0.530461i
\(540\) −6.46915 + 24.1432i −0.278388 + 1.03896i
\(541\) 12.4465 + 12.4465i 0.535115 + 0.535115i 0.922090 0.386975i \(-0.126480\pi\)
−0.386975 + 0.922090i \(0.626480\pi\)
\(542\) 62.3933 36.0228i 2.68002 1.54731i
\(543\) −16.5304 9.54381i −0.709386 0.409564i
\(544\) 0.670546 + 2.50251i 0.0287494 + 0.107294i
\(545\) 20.5618 0.880771
\(546\) −12.2503 60.5813i −0.524263 2.59264i
\(547\) −15.8734 −0.678698 −0.339349 0.940661i \(-0.610207\pi\)
−0.339349 + 0.940661i \(0.610207\pi\)
\(548\) −0.343322 1.28130i −0.0146660 0.0547343i
\(549\) −18.0277 10.4083i −0.769405 0.444216i
\(550\) 15.7146 9.07284i 0.670073 0.386867i
\(551\) −16.6576 16.6576i −0.709636 0.709636i
\(552\) −0.370042 + 1.38101i −0.0157500 + 0.0587799i
\(553\) 0.277214 + 1.65143i 0.0117884 + 0.0702261i
\(554\) 31.6444 + 31.6444i 1.34444 + 1.34444i
\(555\) −8.55461 14.8170i −0.363123 0.628947i
\(556\) 17.2678 29.9087i 0.732318 1.26841i
\(557\) −2.44666 + 0.655582i −0.103668 + 0.0277779i −0.310280 0.950645i \(-0.600423\pi\)
0.206612 + 0.978423i \(0.433756\pi\)
\(558\) 72.5779 3.07247
\(559\) −7.37857 6.90409i −0.312080 0.292012i
\(560\) −2.27440 4.98403i −0.0961109 0.210614i
\(561\) 1.43993 + 5.37389i 0.0607938 + 0.226886i
\(562\) 19.6970 34.1162i 0.830867 1.43910i
\(563\) 10.1159 + 17.5213i 0.426336 + 0.738436i 0.996544 0.0830642i \(-0.0264707\pi\)
−0.570208 + 0.821500i \(0.693137\pi\)
\(564\) −21.5984 + 21.5984i −0.909458 + 0.909458i
\(565\) 0.635745 2.37263i 0.0267460 0.0998174i
\(566\) −19.1301 5.12589i −0.804098 0.215457i
\(567\) −3.77159 1.40797i −0.158392 0.0591290i
\(568\) 25.3722 + 43.9460i 1.06459 + 1.84393i
\(569\) −12.8801 7.43632i −0.539961 0.311747i 0.205102 0.978741i \(-0.434247\pi\)
−0.745063 + 0.666994i \(0.767581\pi\)
\(570\) 21.0659 + 78.6191i 0.882355 + 3.29299i
\(571\) 36.9235i 1.54520i 0.634893 + 0.772600i \(0.281044\pi\)
−0.634893 + 0.772600i \(0.718956\pi\)
\(572\) −35.0705 18.7237i −1.46637 0.782879i
\(573\) 6.91453i 0.288859i
\(574\) −27.7885 + 22.9307i −1.15987 + 0.957108i
\(575\) −0.179817 + 0.311452i −0.00749888 + 0.0129884i
\(576\) 48.3124 27.8932i 2.01302 1.16222i
\(577\) −14.5105 14.5105i −0.604080 0.604080i 0.337312 0.941393i \(-0.390482\pi\)
−0.941393 + 0.337312i \(0.890482\pi\)
\(578\) −37.6113 10.0779i −1.56442 0.419186i
\(579\) −60.1411 16.1148i −2.49938 0.669706i
\(580\) −11.8181 + 11.8181i −0.490718 + 0.490718i
\(581\) 2.34089 3.28533i 0.0971167 0.136298i
\(582\) 1.05615 + 0.609771i 0.0437790 + 0.0252758i
\(583\) 22.2158 5.95271i 0.920086 0.246536i
\(584\) 25.0148 1.03512
\(585\) 26.5239 0.881158i 1.09663 0.0364314i
\(586\) 19.4573i 0.803776i
\(587\) 19.8321 5.31399i 0.818557 0.219332i 0.174842 0.984597i \(-0.444059\pi\)
0.643715 + 0.765265i \(0.277392\pi\)
\(588\) −64.0999 + 22.1439i −2.64343 + 0.913201i
\(589\) 45.7007 26.3853i 1.88307 1.08719i
\(590\) −10.9701 + 10.9701i −0.451632 + 0.451632i
\(591\) −12.7955 + 47.7533i −0.526335 + 1.96431i
\(592\) 1.30821 4.88231i 0.0537671 0.200662i
\(593\) −29.4133 + 29.4133i −1.20786 + 1.20786i −0.236140 + 0.971719i \(0.575882\pi\)
−0.971719 + 0.236140i \(0.924118\pi\)
\(594\) 28.5394 16.4772i 1.17099 0.676069i
\(595\) 2.69263 + 0.257896i 0.110387 + 0.0105727i
\(596\) 18.8282 5.04500i 0.771233 0.206651i
\(597\) 45.3023i 1.85410i
\(598\) 1.23623 0.0410690i 0.0505530 0.00167944i
\(599\) −4.33998 −0.177327 −0.0886634 0.996062i \(-0.528260\pi\)
−0.0886634 + 0.996062i \(0.528260\pi\)
\(600\) −23.2524 + 6.23047i −0.949277 + 0.254358i
\(601\) −5.72067 3.30283i −0.233351 0.134725i 0.378766 0.925492i \(-0.376348\pi\)
−0.612117 + 0.790767i \(0.709682\pi\)
\(602\) −10.1001 + 14.1750i −0.411651 + 0.577731i
\(603\) 4.62485 4.62485i 0.188339 0.188339i
\(604\) −16.0868 4.31044i −0.654561 0.175389i
\(605\) −1.74080 0.466446i −0.0707735 0.0189637i
\(606\) −5.46941 5.46941i −0.222179 0.222179i
\(607\) 39.8777 23.0234i 1.61859 0.934492i 0.631301 0.775538i \(-0.282521\pi\)
0.987286 0.158954i \(-0.0508122\pi\)
\(608\) 15.9168 27.5686i 0.645510 1.11806i
\(609\) 13.8897 + 16.8322i 0.562839 + 0.682075i
\(610\) 16.8571i 0.682526i
\(611\) 10.0279 + 5.35379i 0.405686 + 0.216591i
\(612\) 10.4016i 0.420459i
\(613\) 7.42773 + 27.7207i 0.300003 + 1.11963i 0.937162 + 0.348895i \(0.113443\pi\)
−0.637159 + 0.770733i \(0.719890\pi\)
\(614\) 49.8609 + 28.7872i 2.01222 + 1.16176i
\(615\) −12.7583 22.0981i −0.514466 0.891081i
\(616\) −10.3023 + 27.5972i −0.415090 + 1.11192i
\(617\) 0.0947548 + 0.0253895i 0.00381469 + 0.00102214i 0.260726 0.965413i \(-0.416038\pi\)
−0.256911 + 0.966435i \(0.582705\pi\)
\(618\) −8.04231 + 30.0143i −0.323509 + 1.20735i
\(619\) 29.9073 29.9073i 1.20208 1.20208i 0.228543 0.973534i \(-0.426604\pi\)
0.973534 0.228543i \(-0.0733961\pi\)
\(620\) −18.7196 32.4233i −0.751798 1.30215i
\(621\) −0.326566 + 0.565629i −0.0131047 + 0.0226979i
\(622\) −14.4058 53.7630i −0.577619 2.15570i
\(623\) 32.6942 14.9196i 1.30987 0.597741i
\(624\) 9.44312 + 8.83587i 0.378027 + 0.353718i
\(625\) 6.64109 0.265644
\(626\) −31.9046 + 8.54882i −1.27517 + 0.341680i
\(627\) 34.1796 59.2008i 1.36500 2.36425i
\(628\) −22.1475 38.3606i −0.883781 1.53075i
\(629\) 1.76469 + 1.76469i 0.0703629 + 0.0703629i
\(630\) −7.56737 45.0807i −0.301491 1.79606i
\(631\) 2.02584 7.56053i 0.0806473 0.300980i −0.913807 0.406148i \(-0.866872\pi\)
0.994454 + 0.105169i \(0.0335383\pi\)
\(632\) −1.58614 1.58614i −0.0630931 0.0630931i
\(633\) −23.5783 + 13.6130i −0.937154 + 0.541066i
\(634\) −34.0295 19.6469i −1.35148 0.780279i
\(635\) 1.34223 + 5.00926i 0.0532646 + 0.198786i
\(636\) −70.9288 −2.81251
\(637\) 14.8210 + 20.4288i 0.587231 + 0.809420i
\(638\) 22.0356 0.872397
\(639\) 17.1170 + 63.8813i 0.677136 + 2.52711i
\(640\) −27.9777 16.1530i −1.10592 0.638502i
\(641\) −28.9275 + 16.7013i −1.14257 + 0.659661i −0.947065 0.321042i \(-0.895967\pi\)
−0.195502 + 0.980703i \(0.562634\pi\)
\(642\) −70.0800 70.0800i −2.76584 2.76584i
\(643\) 4.94009 18.4367i 0.194818 0.727071i −0.797496 0.603324i \(-0.793842\pi\)
0.992314 0.123746i \(-0.0394909\pi\)
\(644\) −0.224675 1.33845i −0.00885345 0.0527421i
\(645\) −8.71667 8.71667i −0.343219 0.343219i
\(646\) −5.93619 10.2818i −0.233556 0.404532i
\(647\) −16.4522 + 28.4961i −0.646804 + 1.12030i 0.337078 + 0.941477i \(0.390561\pi\)
−0.983882 + 0.178821i \(0.942772\pi\)
\(648\) 5.20906 1.39576i 0.204631 0.0548308i
\(649\) 13.0298 0.511465
\(650\) 11.0061 + 17.6802i 0.431696 + 0.693475i
\(651\) −44.4738 + 20.2951i −1.74307 + 0.795426i
\(652\) −11.8578 44.2541i −0.464389 1.73312i
\(653\) −13.9982 + 24.2457i −0.547793 + 0.948806i 0.450632 + 0.892710i \(0.351199\pi\)
−0.998425 + 0.0560961i \(0.982135\pi\)
\(654\) 41.8021 + 72.4034i 1.63459 + 2.83120i
\(655\) 18.5556 18.5556i 0.725027 0.725027i
\(656\) 1.95106 7.28147i 0.0761763 0.284294i
\(657\) 31.4907 + 8.43792i 1.22857 + 0.329195i
\(658\) 6.84783 18.3437i 0.266956 0.715110i
\(659\) −5.35203 9.27000i −0.208486 0.361108i 0.742752 0.669567i \(-0.233520\pi\)
−0.951238 + 0.308459i \(0.900187\pi\)
\(660\) −42.0013 24.2494i −1.63490 0.943908i
\(661\) −6.21818 23.2066i −0.241859 0.902631i −0.974936 0.222485i \(-0.928583\pi\)
0.733077 0.680146i \(-0.238084\pi\)
\(662\) 22.7176i 0.882945i
\(663\) −6.10942 + 1.85650i −0.237270 + 0.0721006i
\(664\) 5.40377i 0.209707i
\(665\) −21.1539 25.6353i −0.820312 0.994093i
\(666\) 21.0872 36.5240i 0.817111 1.41528i
\(667\) −0.378218 + 0.218364i −0.0146447 + 0.00845510i
\(668\) 45.9988 + 45.9988i 1.77975 + 1.77975i
\(669\) 23.2394 + 6.22697i 0.898486 + 0.240748i
\(670\) −5.11599 1.37083i −0.197648 0.0529596i
\(671\) 10.0111 10.0111i 0.386474 0.386474i
\(672\) −17.1127 + 24.0169i −0.660138 + 0.926471i
\(673\) 4.79792 + 2.77008i 0.184946 + 0.106779i 0.589615 0.807685i \(-0.299280\pi\)
−0.404668 + 0.914464i \(0.632613\pi\)
\(674\) 45.5365 12.2015i 1.75400 0.469983i
\(675\) −10.9969 −0.423272
\(676\) 20.1412 40.9423i 0.774663 1.57470i
\(677\) 44.0680i 1.69367i 0.531855 + 0.846835i \(0.321495\pi\)
−0.531855 + 0.846835i \(0.678505\pi\)
\(678\) 9.64710 2.58493i 0.370495 0.0992738i
\(679\) −0.495726 0.0474799i −0.0190242 0.00182211i
\(680\) −3.13799 + 1.81172i −0.120336 + 0.0694763i
\(681\) −32.9720 + 32.9720i −1.26349 + 1.26349i
\(682\) −12.7758 + 47.6798i −0.489209 + 1.82575i
\(683\) 1.33328 4.97587i 0.0510166 0.190396i −0.935715 0.352757i \(-0.885244\pi\)
0.986731 + 0.162361i \(0.0519108\pi\)
\(684\) −90.3727 + 90.3727i −3.45548 + 3.45548i
\(685\) −0.521554 + 0.301120i −0.0199276 + 0.0115052i
\(686\) 31.4886 29.9725i 1.20224 1.14436i
\(687\) −6.51969 + 1.74695i −0.248742 + 0.0666501i
\(688\) 3.64181i 0.138843i
\(689\) 7.67485 + 25.2566i 0.292388 + 0.962198i
\(690\) 1.50893 0.0574440
\(691\) −2.95186 + 0.790947i −0.112294 + 0.0300891i −0.314528 0.949248i \(-0.601846\pi\)
0.202234 + 0.979337i \(0.435180\pi\)
\(692\) 17.0028 + 9.81655i 0.646348 + 0.373169i
\(693\) −22.2784 + 31.2666i −0.846285 + 1.18772i
\(694\) 36.8501 36.8501i 1.39881 1.39881i
\(695\) −15.1452 4.05813i −0.574489 0.153934i
\(696\) −28.2371 7.56611i −1.07032 0.286793i
\(697\) 2.63186 + 2.63186i 0.0996888 + 0.0996888i
\(698\) −10.8854 + 6.28470i −0.412019 + 0.237879i
\(699\) 7.41796 12.8483i 0.280573 0.485967i
\(700\) 17.6250 14.5439i 0.666163 0.549709i
\(701\) 11.0158i 0.416061i −0.978122 0.208031i \(-0.933295\pi\)
0.978122 0.208031i \(-0.0667054\pi\)
\(702\) 19.9883 + 32.1092i 0.754410 + 1.21188i
\(703\) 30.6645i 1.15653i
\(704\) 9.81997 + 36.6486i 0.370104 + 1.38125i
\(705\) 12.0097 + 6.93378i 0.452310 + 0.261141i
\(706\) 30.6322 + 53.0566i 1.15286 + 1.99681i
\(707\) 2.95906 + 1.10464i 0.111287 + 0.0415443i
\(708\) −38.8138 10.4001i −1.45871 0.390860i
\(709\) 7.29113 27.2109i 0.273824 1.02192i −0.682801 0.730604i \(-0.739239\pi\)
0.956625 0.291321i \(-0.0940948\pi\)
\(710\) 37.8694 37.8694i 1.42121 1.42121i
\(711\) −1.46173 2.53179i −0.0548192 0.0949496i
\(712\) −24.0702 + 41.6907i −0.902067 + 1.56243i
\(713\) −0.253206 0.944977i −0.00948263 0.0353897i
\(714\) 4.56600 + 10.0058i 0.170878 + 0.374456i
\(715\) −4.09008 + 17.5799i −0.152960 + 0.657450i
\(716\) −33.3115 −1.24491
\(717\) 45.0857 12.0807i 1.68376 0.451161i
\(718\) −26.5761 + 46.0311i −0.991811 + 1.71787i
\(719\) −21.0559 36.4699i −0.785252 1.36010i −0.928848 0.370460i \(-0.879200\pi\)
0.143596 0.989636i \(-0.454133\pi\)
\(720\) 6.76309 + 6.76309i 0.252045 + 0.252045i
\(721\) −2.10055 12.5135i −0.0782287 0.466027i
\(722\) −26.2130 + 97.8284i −0.975548 + 3.64079i
\(723\) −26.2468 26.2468i −0.976129 0.976129i
\(724\) −21.0195 + 12.1356i −0.781185 + 0.451018i
\(725\) −6.36814 3.67665i −0.236507 0.136547i
\(726\) −1.89657 7.07808i −0.0703881 0.262692i
\(727\) −10.0901 −0.374223 −0.187111 0.982339i \(-0.559913\pi\)
−0.187111 + 0.982339i \(0.559913\pi\)
\(728\) −32.0489 10.7659i −1.18781 0.399011i
\(729\) 44.0349 1.63092
\(730\) −6.83295 25.5009i −0.252899 0.943832i
\(731\) 1.55722 + 0.899062i 0.0575959 + 0.0332530i
\(732\) −37.8121 + 21.8308i −1.39758 + 0.806891i
\(733\) 18.7908 + 18.7908i 0.694053 + 0.694053i 0.963121 0.269068i \(-0.0867158\pi\)
−0.269068 + 0.963121i \(0.586716\pi\)
\(734\) 8.62455 32.1873i 0.318338 1.18805i
\(735\) 17.2431 + 25.5082i 0.636020 + 0.940883i
\(736\) −0.417306 0.417306i −0.0153821 0.0153821i
\(737\) 2.22417 + 3.85238i 0.0819285 + 0.141904i
\(738\) 31.4494 54.4719i 1.15767 2.00514i
\(739\) −24.3011 + 6.51146i −0.893930 + 0.239528i −0.676407 0.736528i \(-0.736464\pi\)
−0.217522 + 0.976055i \(0.569797\pi\)
\(740\) −21.7556 −0.799751
\(741\) 69.2108 + 36.9509i 2.54252 + 1.35742i
\(742\) 41.3641 18.8760i 1.51852 0.692960i
\(743\) −2.81817 10.5175i −0.103388 0.385851i 0.894769 0.446530i \(-0.147340\pi\)
−0.998157 + 0.0606785i \(0.980674\pi\)
\(744\) 32.7425 56.7117i 1.20040 2.07915i
\(745\) −4.42484 7.66405i −0.162114 0.280789i
\(746\) −5.81996 + 5.81996i −0.213084 + 0.213084i
\(747\) −1.82278 + 6.80271i −0.0666921 + 0.248898i
\(748\) 6.83328 + 1.83097i 0.249850 + 0.0669470i
\(749\) 37.9147 + 14.1539i 1.38537 + 0.517171i
\(750\) 38.5147 + 66.7094i 1.40636 + 2.43588i
\(751\) −27.9154 16.1170i −1.01865 0.588117i −0.104936 0.994479i \(-0.533464\pi\)
−0.913712 + 0.406362i \(0.866797\pi\)
\(752\) 1.06035 + 3.95727i 0.0386669 + 0.144307i
\(753\) 35.3450i 1.28804i
\(754\) 0.839723 + 25.2766i 0.0305809 + 0.920521i
\(755\) 7.56115i 0.275179i
\(756\) 32.0089 26.4133i 1.16415 0.960643i
\(757\) −16.9609 + 29.3771i −0.616453 + 1.06773i 0.373675 + 0.927560i \(0.378098\pi\)
−0.990128 + 0.140168i \(0.955236\pi\)
\(758\) 54.5711 31.5066i 1.98211 1.14437i
\(759\) −0.896122 0.896122i −0.0325272 0.0325272i
\(760\) 43.0048 + 11.5231i 1.55995 + 0.417987i
\(761\) −9.36045 2.50812i −0.339316 0.0909194i 0.0851375 0.996369i \(-0.472867\pi\)
−0.424453 + 0.905450i \(0.639534\pi\)
\(762\) −14.9101 + 14.9101i −0.540137 + 0.540137i
\(763\) −27.8035 19.8108i −1.00655 0.717200i
\(764\) −7.61437 4.39616i −0.275478 0.159047i
\(765\) −4.56149 + 1.22225i −0.164921 + 0.0441904i
\(766\) −80.1674 −2.89656
\(767\) 0.496535 + 14.9463i 0.0179288 + 0.539679i
\(768\) 64.6816i 2.33400i
\(769\) 14.6001 3.91210i 0.526495 0.141074i 0.0142256 0.999899i \(-0.495472\pi\)
0.512269 + 0.858825i \(0.328805\pi\)
\(770\) 30.9477 + 2.96412i 1.11528 + 0.106819i
\(771\) −24.8147 + 14.3268i −0.893678 + 0.515965i
\(772\) −55.9826 + 55.9826i −2.01486 + 2.01486i
\(773\) −10.1225 + 37.7776i −0.364081 + 1.35877i 0.504582 + 0.863364i \(0.331647\pi\)
−0.868663 + 0.495404i \(0.835020\pi\)
\(774\) 7.86466 29.3513i 0.282689 1.05501i
\(775\) 11.6475 11.6475i 0.418390 0.418390i
\(776\) 0.577718 0.333546i 0.0207389 0.0119736i
\(777\) −2.70838 + 28.2776i −0.0971626 + 1.01445i
\(778\) −62.2709 + 16.6854i −2.23252 + 0.598202i
\(779\) 45.7331i 1.63856i
\(780\) 26.2156 49.1030i 0.938668 1.75817i
\(781\) −44.9797 −1.60950
\(782\) −0.212602 + 0.0569665i −0.00760263 + 0.00203712i
\(783\) −11.5652 6.67718i −0.413307 0.238623i
\(784\) −1.72657 + 8.93069i −0.0616633 + 0.318953i
\(785\) −14.2201 + 14.2201i −0.507537 + 0.507537i
\(786\) 103.062 + 27.6155i 3.67611 + 0.985012i
\(787\) −1.68505 0.451508i −0.0600656 0.0160945i 0.228661 0.973506i \(-0.426565\pi\)
−0.288727 + 0.957412i \(0.593232\pi\)
\(788\) 44.4514 + 44.4514i 1.58352 + 1.58352i
\(789\) −10.4691 + 6.04433i −0.372709 + 0.215184i
\(790\) −1.18370 + 2.05022i −0.0421141 + 0.0729437i
\(791\) −3.14562 + 2.59572i −0.111845 + 0.0922933i
\(792\) 51.4278i 1.82741i
\(793\) 11.8651 + 11.1021i 0.421341 + 0.394246i
\(794\) 87.0058i 3.08772i
\(795\) 8.33454 + 31.1049i 0.295596 + 1.10318i
\(796\) 49.8875 + 28.8026i 1.76822 + 1.02088i
\(797\) −12.2921 21.2905i −0.435407 0.754148i 0.561921 0.827191i \(-0.310062\pi\)
−0.997329 + 0.0730430i \(0.976729\pi\)
\(798\) 47.2625 126.605i 1.67307 4.48175i
\(799\) −1.95388 0.523540i −0.0691233 0.0185215i
\(800\) 2.57179 9.59806i 0.0909266 0.339343i
\(801\) −44.3645 + 44.3645i −1.56754 + 1.56754i
\(802\) 20.3936 + 35.3228i 0.720125 + 1.24729i
\(803\) −11.0865 + 19.2024i −0.391235 + 0.677638i
\(804\) −3.55057 13.2509i −0.125219 0.467324i
\(805\) −0.560558 + 0.255804i −0.0197571 + 0.00901590i
\(806\) −55.1795 12.8379i −1.94362 0.452195i
\(807\) 32.2527 1.13535
\(808\) −4.08684 + 1.09507i −0.143775 + 0.0385243i
\(809\) 1.41467 2.45029i 0.0497373 0.0861475i −0.840085 0.542455i \(-0.817495\pi\)
0.889822 + 0.456307i \(0.150828\pi\)
\(810\) −2.84577 4.92903i −0.0999903 0.173188i
\(811\) −6.39483 6.39483i −0.224553 0.224553i 0.585860 0.810412i \(-0.300757\pi\)
−0.810412 + 0.585860i \(0.800757\pi\)
\(812\) 27.3667 4.59385i 0.960383 0.161213i
\(813\) 21.9272 81.8334i 0.769020 2.87002i
\(814\) 20.2824 + 20.2824i 0.710897 + 0.710897i
\(815\) −18.0137 + 10.4002i −0.630993 + 0.364304i
\(816\) −1.99294 1.15062i −0.0697667 0.0402798i
\(817\) −5.71832 21.3410i −0.200059 0.746629i
\(818\) −26.4854 −0.926041
\(819\) −36.7143 24.3636i −1.28290 0.851335i
\(820\) −32.4463 −1.13307
\(821\) 9.65789 + 36.0437i 0.337063 + 1.25793i 0.901616 + 0.432538i \(0.142382\pi\)
−0.564553 + 0.825397i \(0.690951\pi\)
\(822\) −2.12064 1.22435i −0.0739657 0.0427041i
\(823\) 34.1966 19.7434i 1.19202 0.688212i 0.233254 0.972416i \(-0.425063\pi\)
0.958764 + 0.284204i \(0.0917293\pi\)
\(824\) 12.0187 + 12.0187i 0.418692 + 0.418692i
\(825\) 5.52266 20.6109i 0.192274 0.717578i
\(826\) 25.4031 4.26424i 0.883887 0.148372i
\(827\) −24.4804 24.4804i −0.851267 0.851267i 0.139022 0.990289i \(-0.455604\pi\)
−0.990289 + 0.139022i \(0.955604\pi\)
\(828\) 1.18470 + 2.05195i 0.0411711 + 0.0713104i
\(829\) −6.73903 + 11.6723i −0.234056 + 0.405397i −0.958998 0.283413i \(-0.908533\pi\)
0.724942 + 0.688810i \(0.241867\pi\)
\(830\) 5.50878 1.47607i 0.191212 0.0512352i
\(831\) 52.6249 1.82554
\(832\) −41.6648 + 12.6609i −1.44447 + 0.438938i
\(833\) −3.39248 2.94301i −0.117542 0.101969i
\(834\) −16.5003 61.5801i −0.571360 2.13234i
\(835\) 14.7671 25.5773i 0.511036 0.885141i
\(836\) −43.4618 75.2781i −1.50316 2.60355i
\(837\) 21.1531 21.1531i 0.731158 0.731158i
\(838\) 11.3118 42.2160i 0.390758 1.45833i
\(839\) 48.1190 + 12.8935i 1.66125 + 0.445132i 0.962732 0.270457i \(-0.0871749\pi\)
0.698522 + 0.715589i \(0.253842\pi\)
\(840\) −38.6396 14.4245i −1.33319 0.497691i
\(841\) 10.0352 + 17.3815i 0.346041 + 0.599360i
\(842\) −54.3417 31.3742i −1.87274 1.08123i
\(843\) −11.9896 44.7459i −0.412944 1.54113i
\(844\) 34.6197i 1.19166i
\(845\) −20.3214 4.02173i −0.699079 0.138352i
\(846\) 34.1836i 1.17526i
\(847\) 1.90448 + 2.30794i 0.0654388 + 0.0793018i
\(848\) −4.75671 + 8.23886i −0.163346 + 0.282924i
\(849\) −20.1690 + 11.6445i −0.692197 + 0.399640i
\(850\) −2.62046 2.62046i −0.0898812 0.0898812i
\(851\) −0.549117 0.147136i −0.0188235 0.00504374i
\(852\) 133.987 + 35.9018i 4.59033 + 1.22997i
\(853\) −15.4604 + 15.4604i −0.529355 + 0.529355i −0.920380 0.391025i \(-0.872121\pi\)
0.391025 + 0.920380i \(0.372121\pi\)
\(854\) 16.2415 22.7941i 0.555771 0.779997i
\(855\) 50.2511 + 29.0125i 1.71855 + 0.992207i
\(856\) −52.3651 + 14.0312i −1.78980 + 0.479576i
\(857\) 25.0101 0.854328 0.427164 0.904174i \(-0.359513\pi\)
0.427164 + 0.904174i \(0.359513\pi\)
\(858\) −70.2183 + 21.3376i −2.39721 + 0.728455i
\(859\) 35.7674i 1.22037i 0.792260 + 0.610183i \(0.208904\pi\)
−0.792260 + 0.610183i \(0.791096\pi\)
\(860\) −15.1409 + 4.05698i −0.516299 + 0.138342i
\(861\) −4.03928 + 42.1732i −0.137658 + 1.43726i
\(862\) −60.0127 + 34.6484i −2.04404 + 1.18013i
\(863\) 29.2685 29.2685i 0.996311 0.996311i −0.00368256 0.999993i \(-0.501172\pi\)
0.999993 + 0.00368256i \(0.00117220\pi\)
\(864\) 4.67065 17.4311i 0.158899 0.593018i
\(865\) 2.30700 8.60985i 0.0784405 0.292744i
\(866\) 59.6398 59.6398i 2.02664 2.02664i
\(867\) −39.6537 + 22.8941i −1.34671 + 0.777524i
\(868\) −5.92662 + 61.8784i −0.201162 + 2.10029i
\(869\) 1.92056 0.514612i 0.0651504 0.0174570i
\(870\) 30.8526i 1.04600i
\(871\) −4.33425 + 2.69812i −0.146860 + 0.0914222i
\(872\) 45.7317 1.54867
\(873\) 0.839790 0.225021i 0.0284226 0.00761581i
\(874\) 2.34210 + 1.35221i 0.0792229 + 0.0457393i
\(875\) −25.6169 18.2528i −0.866011 0.617059i
\(876\) 48.3519 48.3519i 1.63366 1.63366i
\(877\) −24.2371 6.49432i −0.818430 0.219298i −0.174770 0.984609i \(-0.555918\pi\)
−0.643660 + 0.765312i \(0.722585\pi\)
\(878\) 22.1287 + 5.92937i 0.746808 + 0.200107i
\(879\) 16.1789 + 16.1789i 0.545700 + 0.545700i
\(880\) −5.63348 + 3.25249i −0.189905 + 0.109641i
\(881\) −18.7477 + 32.4719i −0.631624 + 1.09401i 0.355595 + 0.934640i \(0.384278\pi\)
−0.987220 + 0.159365i \(0.949055\pi\)
\(882\) −33.2016 + 68.2487i −1.11796 + 2.29805i
\(883\) 19.9652i 0.671881i 0.941883 + 0.335941i \(0.109054\pi\)
−0.941883 + 0.335941i \(0.890946\pi\)
\(884\) −1.83988 + 7.90812i −0.0618818 + 0.265979i
\(885\) 18.2434i 0.613244i
\(886\) −23.5598 87.9265i −0.791508 2.95395i
\(887\) −44.5877 25.7427i −1.49711 0.864355i −0.497113 0.867686i \(-0.665606\pi\)
−0.999994 + 0.00333069i \(0.998940\pi\)
\(888\) −19.0264 32.9546i −0.638483 1.10588i
\(889\) 3.01135 8.06667i 0.100998 0.270547i
\(890\) 49.0758 + 13.1498i 1.64502 + 0.440783i
\(891\) −1.23720 + 4.61729i −0.0414477 + 0.154685i
\(892\) 21.6325 21.6325i 0.724309 0.724309i
\(893\) 12.4273 + 21.5247i 0.415863 + 0.720297i
\(894\) 17.9914 31.1620i 0.601722 1.04221i
\(895\) 3.91429 + 14.6083i 0.130840 + 0.488303i
\(896\) 22.2683 + 48.7978i 0.743930 + 1.63022i
\(897\) 0.993778 1.06208i 0.0331813 0.0354617i
\(898\) 21.9673 0.733059
\(899\) 19.3216 5.17720i 0.644411 0.172669i
\(900\) −19.9470 + 34.5492i −0.664899 + 1.15164i
\(901\) −2.34860 4.06789i −0.0782432 0.135521i
\(902\) 30.2492 + 30.2492i 1.00719 + 1.00719i
\(903\) 3.38830 + 20.1849i 0.112755 + 0.671712i
\(904\) 1.41396 5.27699i 0.0470277 0.175510i
\(905\) 7.79185 + 7.79185i 0.259010 + 0.259010i
\(906\) −26.6247 + 15.3718i −0.884548 + 0.510694i
\(907\) 25.0770 + 14.4782i 0.832669 + 0.480742i 0.854766 0.519014i \(-0.173701\pi\)
−0.0220968 + 0.999756i \(0.507034\pi\)
\(908\) 15.3461 + 57.2723i 0.509277 + 1.90065i
\(909\) −5.51424 −0.182896
\(910\) −2.22075 + 35.6125i −0.0736171 + 1.18054i
\(911\) 3.65299 0.121029 0.0605144 0.998167i \(-0.480726\pi\)
0.0605144 + 0.998167i \(0.480726\pi\)
\(912\) 7.31832 + 27.3123i 0.242334 + 0.904402i
\(913\) −4.14815 2.39494i −0.137284 0.0792609i
\(914\) 39.0731 22.5589i 1.29242 0.746181i
\(915\) 14.0168 + 14.0168i 0.463381 + 0.463381i
\(916\) −2.22137 + 8.29025i −0.0733960 + 0.273918i
\(917\) −42.9685 + 7.21282i −1.41895 + 0.238188i
\(918\) −4.75904 4.75904i −0.157072 0.157072i
\(919\) −21.3670 37.0087i −0.704831 1.22080i −0.966753 0.255714i \(-0.917690\pi\)
0.261922 0.965089i \(-0.415644\pi\)
\(920\) 0.412694 0.714807i 0.0136061 0.0235665i
\(921\) 65.3963 17.5229i 2.15488 0.577398i
\(922\) −31.7848 −1.04678
\(923\) −1.71407 51.5954i −0.0564192 1.69828i
\(924\) 33.4300 + 73.2571i 1.09976 + 2.40998i
\(925\) −2.47735 9.24560i −0.0814548 0.303994i
\(926\) −24.2888 + 42.0695i −0.798181 + 1.38249i
\(927\) 11.0761 + 19.1843i 0.363786 + 0.630095i
\(928\) 8.53250 8.53250i 0.280093 0.280093i
\(929\) −4.38107 + 16.3504i −0.143738 + 0.536438i 0.856070 + 0.516860i \(0.172899\pi\)
−0.999808 + 0.0195786i \(0.993768\pi\)
\(930\) −66.7576 17.8876i −2.18907 0.586559i
\(931\) 3.90510 + 55.0450i 0.127985 + 1.80403i
\(932\) −9.43247 16.3375i −0.308971 0.535153i
\(933\) −56.6826 32.7257i −1.85571 1.07139i
\(934\) 18.8171 + 70.2264i 0.615714 + 2.29788i
\(935\) 3.21180i 0.105037i
\(936\) 58.9920 1.95979i 1.92821 0.0640577i
\(937\) 46.5686i 1.52133i −0.649145 0.760665i \(-0.724873\pi\)
0.649145 0.760665i \(-0.275127\pi\)
\(938\) 5.59704 + 6.78275i 0.182750 + 0.221465i
\(939\) −19.4205 + 33.6372i −0.633763 + 1.09771i
\(940\) 15.2712 8.81680i 0.498090 0.287572i
\(941\) 8.41532 + 8.41532i 0.274331 + 0.274331i 0.830841 0.556510i \(-0.187860\pi\)
−0.556510 + 0.830841i \(0.687860\pi\)
\(942\) −78.9820 21.1632i −2.57337 0.689533i
\(943\) −0.818954 0.219438i −0.0266688 0.00714588i
\(944\) −3.81102 + 3.81102i −0.124038 + 0.124038i
\(945\) −15.3445 10.9334i −0.499156 0.355663i
\(946\) 17.8978 + 10.3333i 0.581909 + 0.335965i
\(947\) −41.7309 + 11.1818i −1.35607 + 0.363358i −0.862373 0.506274i \(-0.831022\pi\)
−0.493699 + 0.869633i \(0.664356\pi\)
\(948\) −6.13179 −0.199151
\(949\) −22.4492 11.9854i −0.728733 0.389063i
\(950\) 45.5350i 1.47735i
\(951\) −44.6321 + 11.9591i −1.44730 + 0.387802i
\(952\) 5.98871 + 0.573589i 0.194095 + 0.0185901i
\(953\) −50.8066 + 29.3332i −1.64579 + 0.950195i −0.667066 + 0.744999i \(0.732450\pi\)
−0.978721 + 0.205196i \(0.934217\pi\)
\(954\) −56.1291 + 56.1291i −1.81725 + 1.81725i
\(955\) −1.03315 + 3.85576i −0.0334319 + 0.124770i
\(956\) 15.3614 57.3297i 0.496825 1.85417i
\(957\) 18.3227 18.3227i 0.592288 0.592288i
\(958\) −14.9314 + 8.62062i −0.482410 + 0.278520i
\(959\) 0.995362 + 0.0953342i 0.0321419 + 0.00307850i
\(960\) −51.3127 + 13.7492i −1.65611 + 0.443753i
\(961\) 13.8090i 0.445450i
\(962\) −22.4927 + 24.0385i −0.725193 + 0.775032i
\(963\) −70.6545 −2.27681
\(964\) −45.5907 + 12.2160i −1.46838 + 0.393450i
\(965\) 31.1288 + 17.9722i 1.00207 + 0.578546i
\(966\) −2.04036 1.45382i −0.0656476 0.0467759i
\(967\) −7.53769 + 7.53769i −0.242396 + 0.242396i −0.817841 0.575445i \(-0.804829\pi\)
0.575445 + 0.817841i \(0.304829\pi\)
\(968\) −3.87172 1.03743i −0.124442 0.0333441i
\(969\) −13.4853 3.61338i −0.433211 0.116079i
\(970\) −0.497835 0.497835i −0.0159845 0.0159845i
\(971\) 27.3314 15.7798i 0.877107 0.506398i 0.00740334 0.999973i \(-0.497643\pi\)
0.869703 + 0.493575i \(0.164310\pi\)
\(972\) 30.8990 53.5187i 0.991086 1.71661i
\(973\) 16.5692 + 20.0794i 0.531185 + 0.643715i
\(974\) 23.1495i 0.741759i
\(975\) 23.8528 + 5.54953i 0.763902 + 0.177727i
\(976\) 5.85618i 0.187452i
\(977\) −0.295580 1.10312i −0.00945644 0.0352919i 0.961036 0.276422i \(-0.0891487\pi\)
−0.970493 + 0.241130i \(0.922482\pi\)
\(978\) −73.2436 42.2872i −2.34207 1.35220i
\(979\) −21.3357 36.9545i −0.681891 1.18107i
\(980\) 39.0528 2.77056i 1.24750 0.0885022i
\(981\) 57.5708 + 15.4261i 1.83810 + 0.492516i
\(982\) 23.2462 86.7559i 0.741815 2.76849i
\(983\) 20.8611 20.8611i 0.665366 0.665366i −0.291274 0.956640i \(-0.594079\pi\)
0.956640 + 0.291274i \(0.0940791\pi\)
\(984\) −28.3759 49.1485i −0.904591 1.56680i
\(985\) 14.2703 24.7169i 0.454690 0.787546i
\(986\) −1.16477 4.34699i −0.0370939 0.138436i
\(987\) −9.55882 20.9468i −0.304261 0.666745i
\(988\) 84.6940 52.7230i 2.69448 1.67734i
\(989\) −0.409597 −0.0130244
\(990\) −52.4272 + 14.0478i −1.66625 + 0.446469i
\(991\) 22.8046 39.4987i 0.724412 1.25472i −0.234804 0.972043i \(-0.575445\pi\)
0.959216 0.282675i \(-0.0912219\pi\)
\(992\) 13.5153 + 23.4093i 0.429113 + 0.743245i
\(993\) −18.8898 18.8898i −0.599450 0.599450i
\(994\) −87.6929 + 14.7204i −2.78145 + 0.466902i
\(995\) 6.76894 25.2620i 0.214590 0.800860i
\(996\) 10.4451 + 10.4451i 0.330966 + 0.330966i
\(997\) 22.5784 13.0357i 0.715065 0.412843i −0.0978683 0.995199i \(-0.531202\pi\)
0.812934 + 0.582356i \(0.197869\pi\)
\(998\) −0.00295282 0.00170481i −9.34698e−5 5.39648e-5i
\(999\) −4.49913 16.7910i −0.142346 0.531243i
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 91.2.bc.a.6.1 32
3.2 odd 2 819.2.fm.g.370.7 32
7.2 even 3 637.2.bb.b.227.2 32
7.3 odd 6 637.2.x.b.19.7 32
7.4 even 3 637.2.x.b.19.8 32
7.5 odd 6 637.2.bb.b.227.1 32
7.6 odd 2 inner 91.2.bc.a.6.2 yes 32
13.11 odd 12 inner 91.2.bc.a.76.2 yes 32
21.20 even 2 819.2.fm.g.370.8 32
39.11 even 12 819.2.fm.g.622.8 32
91.11 odd 12 637.2.bb.b.362.1 32
91.24 even 12 637.2.bb.b.362.2 32
91.37 odd 12 637.2.x.b.570.8 32
91.76 even 12 inner 91.2.bc.a.76.1 yes 32
91.89 even 12 637.2.x.b.570.7 32
273.167 odd 12 819.2.fm.g.622.7 32
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
91.2.bc.a.6.1 32 1.1 even 1 trivial
91.2.bc.a.6.2 yes 32 7.6 odd 2 inner
91.2.bc.a.76.1 yes 32 91.76 even 12 inner
91.2.bc.a.76.2 yes 32 13.11 odd 12 inner
637.2.x.b.19.7 32 7.3 odd 6
637.2.x.b.19.8 32 7.4 even 3
637.2.x.b.570.7 32 91.89 even 12
637.2.x.b.570.8 32 91.37 odd 12
637.2.bb.b.227.1 32 7.5 odd 6
637.2.bb.b.227.2 32 7.2 even 3
637.2.bb.b.362.1 32 91.11 odd 12
637.2.bb.b.362.2 32 91.24 even 12
819.2.fm.g.370.7 32 3.2 odd 2
819.2.fm.g.370.8 32 21.20 even 2
819.2.fm.g.622.7 32 273.167 odd 12
819.2.fm.g.622.8 32 39.11 even 12