LMFDB - Embedded newform 99.2.p.a.29.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(2,99)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 3]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("99.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.p (of order $30$, degree $8$, 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:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			29.1
Character	$\chi$	$=$	99.29
Dual form			99.2.p.a.41.1

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.46099 + 1.09570i) q^{2} +(-1.72861 + 0.109172i) q^{3} +(3.51765 - 3.90675i) q^{4} +(0.588502 - 1.32180i) q^{5} +(4.13447 - 2.16271i) q^{6} +(-0.300148 + 1.41209i) q^{7} +(-2.71136 + 8.34470i) q^{8} +(2.97616 - 0.377431i) q^{9} +O(q^{10})$	\(q+(-2.46099 + 1.09570i) q^{2} +(-1.72861 + 0.109172i) q^{3} +(3.51765 - 3.90675i) q^{4} +(0.588502 - 1.32180i) q^{5} +(4.13447 - 2.16271i) q^{6} +(-0.300148 + 1.41209i) q^{7} +(-2.71136 + 8.34470i) q^{8} +(2.97616 - 0.377431i) q^{9} +3.89775i q^{10} +(3.03979 + 1.32654i) q^{11} +(-5.65413 + 7.13726i) q^{12} +(2.96055 + 0.311167i) q^{13} +(-0.808567 - 3.80401i) q^{14} +(-0.872985 + 2.34911i) q^{15} +(-1.37167 - 13.0506i) q^{16} +(3.35854 - 2.44012i) q^{17} +(-6.91076 + 4.18985i) q^{18} +(-1.19136 - 0.387096i) q^{19} +(-3.09378 - 6.94875i) q^{20} +(0.364678 - 2.47371i) q^{21} +(-8.93438 + 0.0661021i) q^{22} +(5.02939 - 2.90372i) q^{23} +(3.77586 - 14.7207i) q^{24} +(1.94484 + 2.15996i) q^{25} +(-7.62685 + 2.47811i) q^{26} +(-5.10341 + 0.977342i) q^{27} +(4.46085 + 6.13983i) q^{28} +(-0.0952306 - 0.0202419i) q^{29} +(-0.425525 - 6.73769i) q^{30} +(-0.427327 + 4.06575i) q^{31} +(8.90112 + 15.4172i) q^{32} +(-5.39941 - 1.96121i) q^{33} +(-5.59169 + 9.68509i) q^{34} +(1.68985 + 1.22775i) q^{35} +(8.99458 - 12.9548i) q^{36} +(-3.08635 - 9.49880i) q^{37} +(3.35607 - 0.352737i) q^{38} +(-5.15161 - 0.214676i) q^{39} +(9.43436 + 8.49473i) q^{40} +(-4.47075 + 0.950287i) q^{41} +(1.81298 + 6.48736i) q^{42} +(1.84140 + 1.06313i) q^{43} +(15.8754 - 7.20937i) q^{44} +(1.25259 - 4.15600i) q^{45} +(-9.19566 + 12.6567i) q^{46} +(-5.39440 + 4.85714i) q^{47} +(3.79584 + 22.4096i) q^{48} +(4.49092 + 1.99949i) q^{49} +(-7.15292 - 3.18469i) q^{50} +(-5.53920 + 4.58467i) q^{51} +(11.6299 - 10.4716i) q^{52} +(0.197492 - 0.271824i) q^{53} +(11.4886 - 7.99706i) q^{54} +(3.54233 - 3.23731i) q^{55} +(-10.9696 - 6.33332i) q^{56} +(2.10165 + 0.539074i) q^{57} +(0.256541 - 0.0545294i) q^{58} +(-2.24930 - 2.02528i) q^{59} +(6.10654 + 11.6739i) q^{60} +(-0.316566 + 0.0332724i) q^{61} +(-3.40321 - 10.4740i) q^{62} +(-0.360325 + 4.31588i) q^{63} +(-17.5657 - 12.7622i) q^{64} +(2.15359 - 3.73013i) q^{65} +(15.4368 - 1.08965i) q^{66} +(-1.71828 - 2.97615i) q^{67} +(2.28123 - 21.7045i) q^{68} +(-8.37683 + 5.56845i) q^{69} +(-5.50397 - 1.16990i) q^{70} +(5.38901 + 7.41734i) q^{71} +(-4.91990 + 25.8585i) q^{72} +(-6.75113 + 2.19358i) q^{73} +(18.0034 + 19.9948i) q^{74} +(-3.59767 - 3.52141i) q^{75} +(-5.70308 + 3.29267i) q^{76} +(-2.78557 + 3.89428i) q^{77} +(12.9133 - 5.11632i) q^{78} +(-4.07566 - 9.15408i) q^{79} +(-18.0574 - 5.86722i) q^{80} +(8.71509 - 2.24659i) q^{81} +(9.96124 - 7.23727i) q^{82} +(0.623446 + 5.93169i) q^{83} +(-8.38135 - 10.1264i) q^{84} +(-1.24884 - 5.87533i) q^{85} +(-5.69655 - 0.598731i) q^{86} +(0.166826 + 0.0245938i) q^{87} +(-19.3115 + 21.7694i) q^{88} -5.11584i q^{89} +(1.47113 + 11.6004i) q^{90} +(-1.32800 + 4.08716i) q^{91} +(6.34754 - 29.8628i) q^{92} +(0.294816 - 7.07473i) q^{93} +(7.95359 - 17.8641i) q^{94} +(-1.21278 + 1.34693i) q^{95} +(-17.0697 - 25.6785i) q^{96} +(5.51867 - 2.45707i) q^{97} -13.2430 q^{98} +(9.54757 + 2.80069i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9}+O(q^{10}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27} - 20 q^{28} + 30 q^{29} + 50 q^{30} - 6 q^{31} + 4 q^{33} - 10 q^{34} - 17 q^{36} - 6 q^{37} + 9 q^{38} + 85 q^{39} + 15 q^{40} - 15 q^{41} + 19 q^{42} - 12 q^{45} - 40 q^{46} - 21 q^{47} + 70 q^{48} - q^{49} + 60 q^{50} - 45 q^{51} - 5 q^{52} - 18 q^{55} + 90 q^{56} + 60 q^{57} - 29 q^{58} + 81 q^{59} + 43 q^{60} - 5 q^{61} + 15 q^{63} - 8 q^{64} - 39 q^{66} + 10 q^{67} + 180 q^{68} - 20 q^{69} + 30 q^{70} + 5 q^{72} - 20 q^{73} - 15 q^{74} - 30 q^{75} + 33 q^{77} + 152 q^{78} - 5 q^{79} - 73 q^{81} - 2 q^{82} - 60 q^{83} - 135 q^{84} - 5 q^{85} - 48 q^{86} - 59 q^{88} - 70 q^{90} + 52 q^{91} - 213 q^{92} - 34 q^{93} - 5 q^{94} - 135 q^{95} - 145 q^{96} + 27 q^{97} + 35 q^{99}+O(q^{100}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{6}\right)$

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−2.46099	+	1.09570i	−1.74018	+	0.774780i	−0.746142	+	0.665787i	$0.768096\pi$
$2$	−2.46099	+	1.09570i	−1.74018	+	0.774780i	−0.994043	+	0.108993i	$0.965238\pi$
$3$	−1.72861	+	0.109172i	−0.998012	+	0.0630304i
$3$	−1.72861	+	0.109172i	−0.998012	+	0.0630304i
$4$	3.51765	−	3.90675i	1.75883	−	1.95337i
$5$	0.588502	−	1.32180i	0.263186	−	0.591125i	−0.732819	−	0.680424i	$-0.761796\pi$
$5$	0.588502	−	1.32180i	0.263186	−	0.591125i	0.996005	+	0.0892983i	$0.0284624\pi$
$6$	4.13447	−	2.16271i	1.68789	−	0.882924i
$7$	−0.300148	+	1.41209i	−0.113445	+	0.533718i	0.884319	+	0.466884i	$0.154623\pi$
$7$	−0.300148	+	1.41209i	−0.113445	+	0.533718i	−0.997764	+	0.0668347i	$0.978710\pi$
$8$	−2.71136	+	8.34470i	−0.958610	+	2.95030i
$9$	2.97616	−	0.377431i	0.992054	−	0.125810i
$10$			3.89775i			1.23258i
$11$	3.03979	+	1.32654i	0.916530	+	0.399967i
$11$	3.03979	+	1.32654i	0.916530	+	0.399967i
$12$	−5.65413	+	7.13726i	−1.63221	+	2.06035i
$13$	2.96055	+	0.311167i	0.821110	+	0.0863022i	0.505761	−	0.862674i	$-0.331212\pi$
$13$	2.96055	+	0.311167i	0.821110	+	0.0863022i	0.315349	+	0.948976i	$0.397878\pi$
$14$	−0.808567	−	3.80401i	−0.216099	−	1.01666i
$15$	−0.872985	+	2.34911i	−0.225404	+	0.606539i
$16$	−1.37167	−	13.0506i	−0.342918	−	3.26265i
$17$	3.35854	−	2.44012i	0.814566	−	0.591817i	−0.100585	−	0.994928i	$-0.532071\pi$
$17$	3.35854	−	2.44012i	0.814566	−	0.591817i	0.915151	+	0.403112i	$0.132071\pi$
$18$	−6.91076	+	4.18985i	−1.62888	+	0.987557i
$19$	−1.19136	−	0.387096i	−0.273317	−	0.0888059i	0.169152	−	0.985590i	$-0.445897\pi$
$19$	−1.19136	−	0.387096i	−0.273317	−	0.0888059i	−0.442468	+	0.896784i	$0.645897\pi$
$20$	−3.09378	−	6.94875i	−0.691791	−	1.55379i
$21$	0.364678	−	2.47371i	0.0795793	−	0.539808i
$22$	−8.93438	+	0.0661021i	−1.90482	+	0.0140930i
$23$	5.02939	−	2.90372i	1.04870	−	0.605467i	0.126414	−	0.991978i	$-0.459653\pi$
$23$	5.02939	−	2.90372i	1.04870	−	0.605467i	0.922285	+	0.386511i	$0.126320\pi$
$24$	3.77586	−	14.7207i	0.770745	−	3.00485i
$25$	1.94484	+	2.15996i	0.388968	+	0.431993i
$26$	−7.62685	+	2.47811i	−1.49575	+	0.485998i
$27$	−5.10341	+	0.977342i	−0.982152	+	0.188090i
$28$	4.46085	+	6.13983i	0.843021	+	1.16032i
$29$	−0.0952306	−	0.0202419i	−0.0176839	−	0.00375882i	0.199061	−	0.979987i	$-0.436211\pi$
$29$	−0.0952306	−	0.0202419i	−0.0176839	−	0.00375882i	−0.216745	+	0.976228i	$0.569544\pi$
$30$	−0.425525	−	6.73769i	−0.0776899	−	1.23013i
$31$	−0.427327	+	4.06575i	−0.0767503	+	0.730230i	0.886700	+	0.462344i	$0.152992\pi$
$31$	−0.427327	+	4.06575i	−0.0767503	+	0.730230i	−0.963451	+	0.267886i	$0.913675\pi$
$32$	8.90112	+	15.4172i	1.57351	+	2.72540i
$33$	−5.39941	−	1.96121i	−0.939917	−	0.341402i
$34$	−5.59169	+	9.68509i	−0.958967	+	1.66098i
$35$	1.68985	+	1.22775i	0.285637	+	0.207528i
$36$	8.99458	−	12.9548i	1.49910	−	2.15913i
$37$	−3.08635	−	9.49880i	−0.507392	−	1.56159i	−0.796711	−	0.604360i	$-0.793429\pi$
$37$	−3.08635	−	9.49880i	−0.507392	−	1.56159i	0.289319	−	0.957233i	$-0.406571\pi$
$38$	3.35607	−	0.352737i	0.544426	−	0.0572215i
$39$	−5.15161	−	0.214676i	−0.824917	−	0.0343756i
$40$	9.43436	+	8.49473i	1.49170	+	1.34314i
$41$	−4.47075	+	0.950287i	−0.698214	+	0.148410i	−0.543325	−	0.839522i	$-0.682835\pi$
$41$	−4.47075	+	0.950287i	−0.698214	+	0.148410i	−0.154888	+	0.987932i	$0.549502\pi$
$42$	1.81298	+	6.48736i	0.279750	+	1.00102i
$43$	1.84140	+	1.06313i	0.280811	+	0.162126i	0.633790	−	0.773505i	$-0.281498\pi$
$43$	1.84140	+	1.06313i	0.280811	+	0.162126i	−0.352980	+	0.935631i	$0.614832\pi$
$44$	15.8754	−	7.20937i	2.39330	−	1.08685i
$45$	1.25259	−	4.15600i	0.186725	−	0.619540i
$46$	−9.19566	+	12.6567i	−1.35583	+	1.86614i
$47$	−5.39440	+	4.85714i	−0.786855	+	0.708487i	−0.961096	−	0.276216i	$-0.910920\pi$
$47$	−5.39440	+	4.85714i	−0.786855	+	0.708487i	0.174241	+	0.984703i	$0.444253\pi$
$48$	3.79584	+	22.4096i	0.547882	+	3.23454i
$49$	4.49092	+	1.99949i	0.641560	+	0.285641i
$50$	−7.15292	−	3.18469i	−1.01158	−	0.450383i
$51$	−5.53920	+	4.58467i	−0.775644	+	0.641982i
$52$	11.6299	−	10.4716i	1.61277	−	1.45215i
$53$	0.197492	−	0.271824i	0.0271276	−	0.0373379i	−0.795238	−	0.606298i	$-0.792654\pi$
$53$	0.197492	−	0.271824i	0.0271276	−	0.0373379i	0.822365	+	0.568960i	$0.192654\pi$
$54$	11.4886	−	7.99706i	1.56340	−	1.08826i
$55$	3.54233	−	3.23731i	0.477648	−	0.436518i
$56$	−10.9696	−	6.33332i	−1.46588	−	0.846325i
$57$	2.10165	+	0.539074i	0.278371	+	0.0714021i
$58$	0.256541	−	0.0545294i	0.0336855	−	0.00716006i
$59$	−2.24930	−	2.02528i	−0.292833	−	0.263668i	0.509598	−	0.860413i	$-0.329794\pi$
$59$	−2.24930	−	2.02528i	−0.292833	−	0.263668i	−0.802432	+	0.596744i	$0.796461\pi$
$60$	6.10654	+	11.6739i	0.788351	+	1.50709i
$61$	−0.316566	+	0.0332724i	−0.0405321	+	0.00426009i	−0.124773	−	0.992185i	$-0.539820\pi$
$61$	−0.316566	+	0.0332724i	−0.0405321	+	0.00426009i	0.0842407	+	0.996445i	$0.473154\pi$
$62$	−3.40321	−	10.4740i	−0.432208	−	1.33020i
$63$	−0.360325	+	4.31588i	−0.0453967	+	0.543750i
$64$	−17.5657	−	12.7622i	−2.19571	−	1.59527i
$65$	2.15359	−	3.73013i	0.267120	−	0.462666i
$66$	15.4368	−	1.08965i	1.90014	−	0.134126i
$67$	−1.71828	−	2.97615i	−0.209922	−	0.363595i	0.741768	−	0.670657i	$-0.233988\pi$
$67$	−1.71828	−	2.97615i	−0.209922	−	0.363595i	−0.951690	+	0.307062i	$0.900654\pi$
$68$	2.28123	−	21.7045i	0.276640	−	2.63206i
$69$	−8.37683	+	5.56845i	−1.00845	+	0.670363i
$70$	−5.50397	−	1.16990i	−0.657850	−	0.139830i
$71$	5.38901	+	7.41734i	0.639558	+	0.880276i	0.998592	−	0.0530483i	$-0.0168937\pi$
$71$	5.38901	+	7.41734i	0.639558	+	0.880276i	−0.359034	+	0.933325i	$0.616894\pi$
$72$	−4.91990	+	25.8585i	−0.579815	+	3.04746i
$73$	−6.75113	+	2.19358i	−0.790160	+	0.256739i	−0.676172	−	0.736743i	$-0.736363\pi$
$73$	−6.75113	+	2.19358i	−0.790160	+	0.256739i	−0.113988	+	0.993482i	$0.536363\pi$
$74$	18.0034	+	19.9948i	2.09285	+	2.32434i
$75$	−3.59767	−	3.52141i	−0.415423	−	0.406617i
$76$	−5.70308	+	3.29267i	−0.654188	+	0.377695i
$77$	−2.78557	+	3.89428i	−0.317446	+	0.443794i
$78$	12.9133	−	5.11632i	1.46214	−	0.579309i
$79$	−4.07566	−	9.15408i	−0.458547	−	1.02991i	−0.983849	−	0.178998i	$-0.942714\pi$
$79$	−4.07566	−	9.15408i	−0.458547	−	1.02991i	0.525302	−	0.850916i	$-0.323952\pi$
$80$	−18.0574	−	5.86722i	−2.01888	−	0.655975i
$81$	8.71509	−	2.24659i	0.968344	−	0.249621i
$82$	9.96124	−	7.23727i	1.10004	−	0.799222i
$83$	0.623446	+	5.93169i	0.0684321	+	0.651088i	0.973947	+	0.226774i	$0.0728180\pi$
$83$	0.623446	+	5.93169i	0.0684321	+	0.651088i	−0.905515	+	0.424314i	$0.860515\pi$
$84$	−8.38135	−	10.1264i	−0.914481	−	1.10488i
$85$	−1.24884	−	5.87533i	−0.135456	−	0.637269i
$86$	−5.69655	−	0.598731i	−0.614274	−	0.0645628i
$87$	0.166826	+	0.0245938i	0.0178856	+	0.00263673i
$88$	−19.3115	+	21.7694i	−2.05861	+	2.32062i
$89$		−	5.11584i		−	0.542278i	−0.962540	−	0.271139i	$-0.912600\pi$
$89$		−	5.11584i		−	0.542278i	0.962540	−	0.271139i	$-0.0874004\pi$
$90$	1.47113	+	11.6004i	0.155071	+	1.22278i
$91$	−1.32800	+	4.08716i	−0.139212	+	0.428451i
$92$	6.34754	−	29.8628i	0.661777	−	3.11341i
$93$	0.294816	−	7.07473i	0.0305710	−	0.733616i
$94$	7.95359	−	17.8641i	0.820350	−	1.84254i
$95$	−1.21278	+	1.34693i	−0.124429	+	0.138192i
$96$	−17.0697	−	25.6785i	−1.74216	−	2.62080i
$97$	5.51867	−	2.45707i	0.560336	−	0.249478i	−0.106969	−	0.994262i	$-0.534114\pi$
$97$	5.51867	−	2.45707i	0.560336	−	0.249478i	0.667305	+	0.744785i	$0.267448\pi$
$98$	−13.2430			−1.33774
$99$	9.54757	+	2.80069i	0.959567	+	0.281480i
$100$	15.2797			1.52797
$101$	−10.6358	+	4.73537i	−1.05830	+	0.471187i	−0.860709	−	0.509098i	$-0.829979\pi$
$101$	−10.6358	+	4.73537i	−1.05830	+	0.471187i	−0.197593	+	0.980284i	$0.563313\pi$
$102$	8.60849	−	17.3522i	0.852368	−	1.71812i
$103$	−2.24151	+	2.48945i	−0.220863	+	0.245293i	−0.843386	−	0.537309i	$-0.819441\pi$
$103$	−2.24151	+	2.48945i	−0.220863	+	0.245293i	0.622523	+	0.782602i	$0.286108\pi$
$104$	−10.6237	+	23.8613i	−1.04174	+	2.33979i
$105$	−3.05513	−	1.93781i	−0.298150	−	0.189111i
$106$	−0.188187	+	0.885350i	−0.0182783	+	0.0859928i
$107$	2.92166	−	8.99195i	0.282448	−	0.869285i	−0.704704	−	0.709501i	$-0.748920\pi$
$107$	2.92166	−	8.99195i	0.282448	−	0.869285i	0.987152	−	0.159784i	$-0.0510797\pi$
$108$	−14.1338	+	23.3757i	−1.36003	+	2.24933i
$109$			4.11325i			0.393978i	0.980406	+	0.196989i	$0.0631163\pi$
$109$			4.11325i			0.393978i	−0.980406	+	0.196989i	$0.936884\pi$
$110$	−5.17053	+	11.8483i	−0.492990	+	1.12969i
$111$	6.37208	+	16.0828i	0.604811	+	1.52651i
$112$	18.8403	+	1.98019i	1.78024	+	0.187110i
$113$	4.20449	+	19.7806i	0.395525	+	1.86080i	0.499640	+	0.866233i	$0.333465\pi$
$113$	4.20449	+	19.7806i	0.395525	+	1.86080i	−0.104116	+	0.994565i	$0.533201\pi$
$114$	−5.76281	+	0.976132i	−0.539737	+	0.0914231i
$115$	−0.878321	−	8.35667i	−0.0819039	−	0.779263i
$116$	−0.414068	+	0.300838i	−0.0384452	+	0.0279321i
$117$	8.92854	−	0.191321i	0.825444	−	0.0176876i
$118$	7.75460	+	2.51962i	0.713869	+	0.231950i
$119$	2.43760	+	5.47495i	0.223455	+	0.501888i
$120$	−17.2357	−	13.6541i	−1.57340	−	1.24644i
$121$	7.48059	+	8.06479i	0.680053	+	0.733163i
$122$	0.742609	−	0.428746i	0.0672327	−	0.0388168i
$123$	7.62442	−	2.13075i	0.687471	−	0.192123i
$124$	14.3807	+	15.9714i	1.29142	+	1.43427i
$125$	10.8799	−	3.53510i	0.973131	−	0.316189i
$126$	−3.84217	−	11.0162i	−0.342288	−	0.981398i
$127$	−0.0604870	−	0.0832533i	−0.00536736	−	0.00738753i	0.806325	−	0.591473i	$-0.201453\pi$
$127$	−0.0604870	−	0.0832533i	−0.00536736	−	0.00738753i	−0.811692	+	0.584085i	$0.801453\pi$
$128$	22.3861	+	4.75831i	1.97867	+	0.420579i
$129$	−3.29912	−	1.63671i	−0.290471	−	0.144104i
$130$	−1.21285	+	11.5395i	−0.106374	+	1.01208i
$131$	−7.68267	−	13.3068i	−0.671238	−	1.16262i	−0.977553	−	0.210689i	$-0.932429\pi$
$131$	−7.68267	−	13.3068i	−0.671238	−	1.16262i	0.306315	−	0.951930i	$-0.400904\pi$
$132$	−26.6552	+	14.1953i	−2.32004	+	1.23554i
$133$	0.904197	−	1.56612i	0.0784039	−	0.135799i
$134$	7.48966	+	5.44156i	0.647008	+	0.470079i
$135$	−1.71152	+	7.32084i	−0.147304	+	0.630077i
$136$	11.2559	+	34.6421i	0.965185	+	2.97053i
$137$	−3.70309	+	0.389210i	−0.316376	+	0.0332525i	−0.261386	−	0.965234i	$-0.584179\pi$
$137$	−3.70309	+	0.389210i	−0.316376	+	0.0332525i	−0.0549904	+	0.998487i	$0.517513\pi$
$138$	14.5139	−	22.8824i	1.23551	−	1.94788i
$139$	−12.6455	−	11.3860i	−1.07257	−	0.965749i	−0.0730719	−	0.997327i	$-0.523280\pi$
$139$	−12.6455	−	11.3860i	−1.07257	−	0.965749i	−0.999501	+	0.0315774i	$0.989947\pi$
$140$	10.7408	−	2.28303i	0.907766	−	0.192952i
$141$	8.79454	−	8.98501i	0.740634	−	0.756674i
$142$	−21.3895	−	12.3492i	−1.79497	−	1.03633i
$143$	8.58668	+	4.87317i	0.718054	+	0.407515i
$144$	−9.00801	−	38.3230i	−0.750667	−	3.19358i
$145$	−0.0827990	+	0.113963i	−0.00687608	+	0.00946412i
$146$	14.2110	−	12.7956i	1.17611	−	1.05897i
$147$	−7.98132	−	2.96604i	−0.658288	−	0.244635i
$148$	−47.9661	−	21.3559i	−3.94279	−	1.75544i
$149$	−10.4619	−	4.65792i	−0.857070	−	0.381592i	−0.0693251	−	0.997594i	$-0.522085\pi$
$149$	−10.4619	−	4.65792i	−0.857070	−	0.381592i	−0.787744	+	0.616002i	$0.788751\pi$
$150$	12.7123	+	4.72417i	1.03795	+	0.385727i
$151$	−0.789963	+	0.711286i	−0.0642863	+	0.0578836i	−0.700648	−	0.713508i	$-0.747105\pi$
$151$	−0.789963	+	0.711286i	−0.0642863	+	0.0578836i	0.636361	+	0.771391i	$0.280439\pi$
$152$	6.46040	−	8.89198i	0.524008	−	0.721235i
$153$	9.07459	−	8.52982i	0.733637	−	0.689595i
$154$	2.58830	−	12.6360i	0.208571	−	1.01823i
$155$	5.12261	+	2.95754i	0.411458	+	0.237555i
$156$	−18.9602	+	19.3709i	−1.51803	+	1.55091i
$157$	0.0835237	−	0.0177535i	0.00666592	−	0.00141688i	−0.204578	−	0.978850i	$-0.565582\pi$
$157$	0.0835237	−	0.0177535i	0.00666592	−	0.00141688i	0.211243	+	0.977433i	$0.432249\pi$
$158$	20.0603	+	18.0624i	1.59591	+	1.43697i
$159$	−0.311710	+	0.491438i	−0.0247202	+	0.0389735i
$160$	25.6167	−	2.69242i	2.02518	−	0.212855i
$161$	2.59074	+	7.97347i	0.204179	+	0.628398i
$162$	−18.9862	+	15.0780i	−1.49169	+	1.18464i
$163$	−2.37021	−	1.72206i	−0.185650	−	0.134882i	0.491079	−	0.871115i	$-0.336603\pi$
$163$	−2.37021	−	1.72206i	−0.185650	−	0.134882i	−0.676728	+	0.736233i	$0.736603\pi$
$164$	−12.0140	+	20.8089i	−0.938136	+	1.62490i
$165$	−5.76988	+	5.98275i	−0.449185	+	0.465757i
$166$	−8.03368	−	13.9147i	−0.623534	−	1.07999i
$167$	0.465535	−	4.42927i	0.0360242	−	0.342747i	−0.961633	−	0.274338i	$-0.911541\pi$
$167$	0.465535	−	4.42927i	0.0360242	−	0.342747i	0.997657	−	0.0684086i	$-0.0217922\pi$
$168$	19.6536	+	9.75024i	1.51631	+	0.752247i
$169$	−4.04786	−	0.860399i	−0.311374	−	0.0661845i
$170$	9.51100	+	13.0908i	0.729461	+	1.00402i
$171$	−3.69178	−	0.702406i	−0.282318	−	0.0537143i
$172$	10.6308	−	3.45415i	0.810590	−	0.263377i
$173$	−6.99267	−	7.76615i	−0.531643	−	0.590449i	0.416166	−	0.909289i	$-0.363374\pi$
$173$	−6.99267	−	7.76615i	−0.531643	−	0.590449i	−0.947809	+	0.318839i	$0.896707\pi$
$174$	−0.437505	+	0.122267i	−0.0331672	+	0.00926904i
$175$	−3.63380	+	2.09797i	−0.274689	+	0.158592i
$176$	13.1425	−	41.4905i	0.990655	−	3.12747i
$177$	4.10925	+	3.25535i	0.308870	+	0.244687i
$178$	5.60545	+	12.5901i	0.420146	+	0.943664i
$179$	−9.58188	−	3.11334i	−0.716183	−	0.232702i	−0.0718157	−	0.997418i	$-0.522879\pi$
$179$	−9.58188	−	3.11334i	−0.716183	−	0.232702i	−0.644368	+	0.764716i	$0.722879\pi$
$180$	−11.8303	−	19.5129i	−0.881776	−	1.45441i
$181$	12.5433	−	9.11327i	0.932339	−	0.677384i	−0.0142256	−	0.999899i	$-0.504528\pi$
$181$	12.5433	−	9.11327i	0.932339	−	0.677384i	0.946564	+	0.322515i	$0.104528\pi$
$182$	−1.21012	−	11.5136i	−0.0897004	−	0.853443i
$183$	0.543585	−	0.0920750i	0.0401830	−	0.00680638i
$184$	10.5942	+	49.8417i	0.781014	+	3.67438i
$185$	−14.3718	−	1.51054i	−1.05664	−	0.111057i
$186$	7.02628	+	17.7339i	0.515192	+	1.30031i
$187$	13.4462	−	2.96221i	0.983281	−	0.216618i
$188$			38.1603i			2.78313i
$189$	0.151688	−	7.49980i	0.0110337	−	0.545530i
$190$	1.50881	−	4.64363i	0.109460	−	0.336884i
$191$	−0.772348	+	3.63361i	−0.0558851	+	0.262919i	−0.997216	−	0.0745660i	$-0.976243\pi$
$191$	−0.772348	+	3.63361i	−0.0558851	+	0.262919i	0.941331	+	0.337485i	$0.109576\pi$
$192$	31.7574	+	20.1431i	2.29189	+	1.45371i
$193$	−10.1429	+	22.7814i	−0.730103	+	1.63984i	0.0378104	+	0.999285i	$0.487962\pi$
$193$	−10.1429	+	22.7814i	−0.730103	+	1.63984i	−0.767914	+	0.640554i	$0.778705\pi$
$194$	−10.8892	+	12.0937i	−0.781798	+	0.868274i
$195$	−3.31549	+	6.68304i	−0.237427	+	0.478582i
$196$	23.6090	−	10.5114i	1.68636	−	0.750814i
$197$	−19.2214			−1.36947			−0.684733	−	0.728794i	$-0.740081\pi$
$197$	−19.2214			−1.36947			−0.684733	+	0.728794i	$0.740081\pi$
$198$	−26.5652	+	3.56884i	−1.88791	+	0.253626i
$199$	−26.0126			−1.84399			−0.921993	−	0.387206i	$-0.873440\pi$
$199$	−26.0126			−1.84399			−0.921993	+	0.387206i	$0.873440\pi$
$200$	−23.2974	+	10.3727i	−1.64738	+	0.733459i
$201$	3.29515	+	4.95701i	0.232422	+	0.349640i
$202$	20.9861	−	23.3074i	1.47657	−	1.63990i
$203$	0.0571666	−	0.128398i	0.00401231	−	0.00901179i
$204$	−1.57384	+	37.7676i	−0.110191	+	2.64426i
$205$	−1.37496	+	6.46867i	−0.0960312	+	0.451791i
$206$	2.78864	−	8.58255i	0.194294	−	0.597975i
$207$	13.8723	−	10.5402i	0.964193	−	0.732593i
$208$		−	39.0638i		−	2.70859i
$209$	−3.10798	−	2.75707i	−0.214983	−	0.190711i
$210$	9.64191	+	1.42143i	0.665355	+	0.0980877i
$211$	22.6127	+	2.37669i	1.55672	+	0.163618i	0.843425	−	0.537247i	$-0.180536\pi$
$211$	22.6127	+	2.37669i	1.55672	+	0.163618i	0.713294	+	0.700865i	$0.247202\pi$
$212$	−0.367241	−	1.72773i	−0.0252222	−	0.118661i
$213$	−10.1252	−	12.2333i	−0.693771	−	0.838214i
$214$	2.66233	+	25.3304i	0.181993	+	1.73155i
$215$	2.48891	−	1.80830i	0.169742	−	0.123325i
$216$	5.68154	−	45.2364i	0.386580	−	3.07794i
$217$	−5.61293	−	1.82375i	−0.381030	−	0.123804i
$218$	−4.50691	−	10.1227i	−0.305246	−	0.685594i
$219$	11.4306	−	4.52886i	0.772407	−	0.306032i
$220$	−0.186643	−	25.2267i	−0.0125835	−	1.70079i
$221$	10.7024	−	6.17905i	0.719923	−	0.415648i
$222$	−33.3036	−	32.5976i	−2.23519	−	2.18781i
$223$	−15.2216	−	16.9053i	−1.01932	−	1.13206i	−0.991188	−	0.132460i	$-0.957712\pi$
$223$	−15.2216	−	16.9053i	−1.01932	−	1.13206i	−0.0281268	−	0.999604i	$-0.508954\pi$
$224$	−24.4421	+	7.94170i	−1.63310	+	0.530627i
$225$	6.60340	+	5.69436i	0.440227	+	0.379624i
$226$	−32.0208	−	44.0729i	−2.13000	−	2.93169i
$227$	7.95006	+	1.68984i	0.527664	+	0.112158i	0.464038	−	0.885815i	$-0.346400\pi$
$227$	7.95006	+	1.68984i	0.527664	+	0.112158i	0.0636262	+	0.997974i	$0.479733\pi$
$228$	9.49891	−	6.31435i	0.629081	−	0.418178i
$229$	−1.42091	+	13.5191i	−0.0938964	+	0.893365i	0.841617	+	0.540074i	$0.181604\pi$
$229$	−1.42091	+	13.5191i	−0.0938964	+	0.893365i	−0.935514	+	0.353290i	$0.885063\pi$
$230$	11.3180	+	19.6033i	0.746285	+	1.29260i
$231$	4.39002	−	7.03579i	0.288842	−	0.462921i
$232$	0.427117	−	0.739788i	0.0280416	−	0.0485694i
$233$	−4.09157	−	2.97270i	−0.268048	−	0.194748i	0.445640	−	0.895212i	$-0.352976\pi$
$233$	−4.09157	−	2.97270i	−0.268048	−	0.194748i	−0.713687	+	0.700464i	$0.752976\pi$
$234$	−21.7634	+	10.2539i	−1.42272	+	0.670317i
$235$	3.24554	+	9.98874i	0.211716	+	0.651594i
$236$	−15.8245	+	1.66322i	−1.03009	+	0.108266i
$237$	8.04458	+	15.3789i	0.522551	+	0.998964i
$238$	−11.9978	−	10.8029i	−0.777705	−	0.700249i
$239$	19.7253	−	4.19274i	1.27592	−	0.271206i	0.480356	−	0.877073i	$-0.340507\pi$
$239$	19.7253	−	4.19274i	1.27592	−	0.271206i	0.795565	+	0.605868i	$0.207174\pi$
$240$	31.8548	+	8.17075i	2.05622	+	0.527420i
$241$	24.5094	+	14.1505i	1.57879	+	0.911516i	0.995028	+	0.0995930i	$0.0317541\pi$
$241$	24.5094	+	14.1505i	1.57879	+	0.911516i	0.583764	+	0.811923i	$0.301579\pi$
$242$	−27.2463	−	11.6509i	−1.75146	−	0.748947i
$243$	−14.8197	+	4.83491i	−0.950684	+	0.310160i
$244$	−0.983581	+	1.35378i	−0.0629674	+	0.0866671i
$245$	5.28583	−	4.75938i	0.337699	−	0.304066i
$246$	−16.4290	+	13.5979i	−1.04747	+	0.866969i
$247$	−3.40663	−	1.51673i	−0.216759	−	0.0965073i
$248$	−32.7688	−	14.5896i	−2.08082	−	0.926442i
$249$	−1.72527	−	10.1855i	−0.109334	−	0.645480i
$250$	−22.9020	+	20.6210i	−1.44845	+	1.30419i
$251$	−13.7475	+	18.9219i	−0.867737	+	1.19434i	0.111931	+	0.993716i	$0.464296\pi$
$251$	−13.7475	+	18.9219i	−0.867737	+	1.19434i	−0.979669	+	0.200622i	$0.935704\pi$
$252$	15.5936	+	16.5895i	0.982303	+	1.04504i
$253$	19.1401	−	2.15500i	1.20333	−	0.135483i
$254$	0.240079	+	0.138610i	0.0150639	+	0.00869715i
$255$	2.80017	+	10.0198i	0.175354	+	0.627464i
$256$	−17.8299	+	3.78987i	−1.11437	+	0.236867i
$257$	−0.309493	−	0.278669i	−0.0193057	−	0.0173829i	0.659421	−	0.751774i	$-0.270801\pi$
$257$	−0.309493	−	0.278669i	−0.0193057	−	0.0173829i	−0.678727	+	0.734391i	$0.737468\pi$
$258$	9.91245	+	0.413068i	0.617122	+	0.0257165i
$259$	14.3395	−	1.50714i	0.891012	−	0.0936492i
$260$	−6.99709	−	21.5348i	−0.433941	−	1.33553i
$261$	−0.291062	−	0.0243002i	−0.0180163	−	0.00150415i
$262$	33.4873	+	24.3299i	2.06885	+	1.50311i
$263$	14.0588	−	24.3505i	0.866902	−	1.50152i	0.00175644	−	0.999998i	$-0.499441\pi$
$263$	14.0588	−	24.3505i	0.866902	−	1.50152i	0.865146	−	0.501520i	$-0.167226\pi$
$264$	31.0054	−	39.7390i	1.90825	−	2.44576i
$265$	−0.243072	−	0.421013i	−0.0149318	−	0.0258626i
$266$	−0.509223	+	4.84493i	−0.0312225	+	0.297062i
$267$	0.558506	+	8.84328i	0.0341800	+	0.541200i
$268$	−17.6714	−	3.75617i	−1.07945	−	0.229445i
$269$	−7.97137	−	10.9716i	−0.486023	−	0.668953i	0.493625	−	0.869675i	$-0.335671\pi$
$269$	−7.97137	−	10.9716i	−0.486023	−	0.668953i	−0.979648	+	0.200721i	$0.935671\pi$
$270$	−3.80944	−	19.8918i	−0.231835	−	1.21058i
$271$	−10.5963	+	3.44294i	−0.643678	+	0.209144i	−0.612624	−	0.790374i	$-0.709886\pi$
$271$	−10.5963	+	3.44294i	−0.643678	+	0.209144i	−0.0310533	+	0.999518i	$0.509886\pi$
$272$	−36.4518	−	40.4839i	−2.21022	−	2.45470i
$273$	1.84939	−	7.21008i	0.111930	−	0.436374i
$274$	8.68681	−	5.01533i	0.524789	−	0.302987i
$275$	3.04662	+	9.14574i	0.183718	+	0.551509i
$276$	−7.71222	+	52.3140i	−0.464221	+	3.14894i
$277$	−3.97962	−	8.93837i	−0.239112	−	0.537055i	0.753633	−	0.657296i	$-0.228300\pi$
$277$	−3.97962	−	8.93837i	−0.239112	−	0.537055i	−0.992745	+	0.120241i	$0.961633\pi$
$278$	43.5961	+	14.1652i	2.61472	+	0.849573i
$279$	0.262742	+	12.2616i	0.0157299	+	0.734084i
$280$	−14.8270	+	10.7724i	−0.886083	+	0.643777i
$281$	1.27367	+	12.1181i	0.0759805	+	0.722906i	0.964503	+	0.264073i	$0.0850659\pi$
$281$	1.27367	+	12.1181i	0.0759805	+	0.722906i	−0.888522	+	0.458834i	$0.848267\pi$
$282$	−11.7984	+	31.7482i	−0.702583	+	1.89058i
$283$	−3.20045	−	15.0569i	−0.190247	−	0.895042i	−0.964892	−	0.262646i	$-0.915405\pi$
$283$	−3.20045	−	15.0569i	−0.190247	−	0.895042i	0.774645	−	0.632396i	$-0.217928\pi$
$284$	47.9344	+	5.03810i	2.84438	+	0.298956i
$285$	1.94937	−	2.46071i	0.115471	−	0.145760i
$286$	−26.4713	−	2.58438i	−1.56528	−	0.152818i
$287$		−	6.59831i		−	0.389486i
$288$	32.3101	+	42.5245i	1.90389	+	2.50578i
$289$	0.0723102	−	0.222548i	0.00425354	−	0.0130911i
$290$	0.0788979	−	0.371185i	0.00463304	−	0.0217968i
$291$	−9.27137	+	4.84979i	−0.543497	+	0.284300i
$292$	−15.1784	+	34.0912i	−0.888248	+	1.99504i
$293$	18.2132	−	20.2278i	1.06403	−	1.18172i	0.0812937	−	0.996690i	$-0.474095\pi$
$293$	18.2132	−	20.2278i	1.06403	−	1.18172i	0.982733	−	0.185031i	$-0.0592385\pi$
$294$	22.8919	−	1.44576i	1.33508	−	0.0843184i
$295$	−4.00072	+	1.78123i	−0.232931	+	0.103707i
$296$	87.6328			5.09356
$297$	−16.8098	−	3.79897i	−0.975401	−	0.220438i
$298$	30.8503			1.78711
$299$	15.7933	−	7.03164i	0.913351	−	0.406650i
$300$	−26.4126	+	1.66812i	−1.52493	+	0.0963087i
$301$	−2.05393	+	2.28112i	−0.118386	+	0.131481i
$302$	1.16473	−	2.61603i	0.0670229	−	0.150536i
$303$	17.8682	−	9.34672i	1.02650	−	0.536955i
$304$	−3.41768	+	16.0789i	−0.196017	+	0.922188i
$305$	−0.142320	+	0.438016i	−0.00814923	+	0.0250807i
$306$	−12.9863	+	30.9349i	−0.742379	+	1.76843i
$307$			31.0795i			1.77380i	0.461960	+	0.886901i	$0.347146\pi$
$307$			31.0795i			1.77380i	−0.461960	+	0.886901i	$0.652854\pi$
$308$	5.41529	+	24.5813i	0.308565	+	1.40065i
$309$	3.60291	−	4.54799i	0.204963	−	0.258726i
$310$	−15.8473	−	1.66562i	−0.900066	−	0.0946007i
$311$	−1.18810	−	5.58959i	−0.0673712	−	0.316956i	0.931538	−	0.363643i	$-0.118467\pi$
$311$	−1.18810	−	5.58959i	−0.0673712	−	0.316956i	−0.998910	+	0.0466865i	$0.985134\pi$
$312$	15.7593	−	42.4065i	0.892192	−	2.40080i
$313$	2.76294	+	26.2876i	0.156171	+	1.48587i	0.739240	+	0.673442i	$0.235185\pi$
$313$	2.76294	+	26.2876i	0.156171	+	1.48587i	−0.583069	+	0.812423i	$0.698148\pi$
$314$	−0.186099	+	0.135209i	−0.0105021	+	0.00763026i
$315$	5.49267	+	3.01618i	0.309477	+	0.169943i
$316$	−50.0994	−	16.2783i	−2.81831	−	0.915725i
$317$	−0.805282	−	1.80869i	−0.0452291	−	0.101586i	0.889518	−	0.456901i	$-0.151040\pi$
$317$	−0.805282	−	1.80869i	−0.0452291	−	0.101586i	−0.934747	+	0.355314i	$0.884374\pi$
$318$	0.228646	−	1.55097i	0.0128218	−	0.0869739i
$319$	−0.262629	−	0.187858i	−0.0147044	−	0.0105180i
$320$	−27.2064	+	15.7076i	−1.52089	+	0.878084i
$321$	−4.06874	+	15.8625i	−0.227095	+	0.885359i
$322$	−15.1124	−	16.7840i	−0.842178	−	0.935334i
$323$	−4.94579	+	1.60698i	−0.275191	+	0.0894150i
$324$	21.8798	−	41.9504i	1.21554	−	2.33058i
$325$	5.08570	+	6.99986i	0.282104	+	0.388283i
$326$	7.71995	+	1.64093i	0.427569	+	0.0908825i
$327$	−0.449051	−	7.11019i	−0.0248326	−	0.393195i
$328$	4.19194	−	39.8836i	0.231461	−	2.20220i
$329$	−5.23958	−	9.07523i	−0.288868	−	0.500333i
$330$	7.64430	−	21.0456i	0.420805	−	1.15852i
$331$	2.03858	−	3.53093i	0.112051	−	0.194078i	−0.804546	−	0.593890i	$-0.797591\pi$
$331$	2.03858	−	3.53093i	0.112051	−	0.194078i	0.916597	+	0.399812i	$0.130925\pi$
$332$	25.3667	+	18.4300i	1.39218	+	1.01148i
$333$	−12.7706	−	27.1051i	−0.699825	−	1.48535i
$334$	3.70749	+	11.4105i	0.202865	+	0.624354i
$335$	−4.94508	+	0.519749i	−0.270179	+	0.0283969i
$336$	−32.7836	−	1.36614i	−1.78849	−	0.0745293i
$337$	21.2002	+	19.0887i	1.15485	+	1.03983i	0.998642	+	0.0521039i	$0.0165927\pi$
$337$	21.2002	+	19.0887i	1.15485	+	1.03983i	0.156205	+	0.987725i	$0.450074\pi$
$338$	10.9045	−	2.31782i	0.593126	−	0.126073i
$339$	−9.42739	−	33.7338i	−0.512025	−	1.83217i
$340$	−27.3464	−	15.7885i	−1.48307	−	0.856249i
$341$	−6.69236	+	11.7921i	−0.362412	+	0.638580i
$342$	9.85507	−	2.31649i	0.532901	−	0.125261i
$343$	−10.1112	+	13.9169i	−0.545954	+	0.751441i
$344$	−13.8642	+	12.4834i	−0.747508	+	0.673059i
$345$	2.43059	+	14.3495i	0.130858	+	0.772551i
$346$	25.7183	+	11.4505i	1.38262	+	0.615584i
$347$	9.44498	+	4.20518i	0.507033	+	0.225746i	0.644278	−	0.764791i	$-0.277158\pi$
$347$	9.44498	+	4.20518i	0.507033	+	0.225746i	−0.137245	+	0.990537i	$0.543825\pi$
$348$	0.682918	−	0.565235i	0.0366082	−	0.0302998i
$349$	−13.7137	+	12.3479i	−0.734078	+	0.660967i	−0.948861	−	0.315695i	$-0.897762\pi$
$349$	−13.7137	+	12.3479i	−0.734078	+	0.660967i	0.214783	+	0.976662i	$0.431096\pi$
$350$	6.64399	−	9.14466i	0.355136	−	0.488803i
$351$	−15.4130	+	1.30546i	−0.822687	+	0.0696805i
$352$	6.60597	+	58.6726i	0.352100	+	3.12726i
$353$	−11.5976	−	6.69588i	−0.617279	−	0.356386i	0.158530	−	0.987354i	$-0.449324\pi$
$353$	−11.5976	−	6.69588i	−0.617279	−	0.356386i	−0.775809	+	0.630968i	$0.782658\pi$
$354$	−13.6797	−	3.50885i	−0.727070	−	0.186493i
$355$	12.9757	−	2.75806i	0.688676	−	0.146383i
$356$	−19.9863	−	17.9958i	−1.05927	−	0.953774i
$357$	−4.81137	−	9.19792i	−0.254645	−	0.486805i
$358$	26.9922	−	2.83700i	1.42658	−	0.149940i
$359$	−1.92854	−	5.93545i	−0.101785	−	0.313261i	0.887178	−	0.461428i	$-0.152663\pi$
$359$	−1.92854	−	5.93545i	−0.101785	−	0.313261i	−0.988962	+	0.148167i	$0.952663\pi$
$360$	31.2844	+	21.7209i	1.64883	+	1.14479i
$361$	−14.1018	−	10.2456i	−0.742202	−	0.539241i
$362$	−20.8836	+	36.1715i	−1.09762	+	1.90113i
$363$	−13.8114	−	13.1242i	−0.724913	−	0.688841i
$364$	11.2961	+	19.5654i	0.592075	+	1.02550i
$365$	−1.07359	+	10.2145i	−0.0561944	+	0.534654i
$366$	−1.23687	+	0.822205i	−0.0646523	+	0.0429773i
$367$	7.53202	+	1.60098i	0.393168	+	0.0835705i	0.400254	−	0.916404i	$-0.368922\pi$
$367$	7.53202	+	1.60098i	0.393168	+	0.0835705i	−0.00708542	+	0.999975i	$0.502255\pi$
$368$	−44.7939	−	61.6535i	−2.33504	−	3.21391i
$369$	−12.9470	+	4.51561i	−0.673994	+	0.235073i
$370$	37.0240	−	12.0298i	1.92479	−	0.625401i
$371$	0.324562	+	0.360463i	0.0168504	+	0.0187143i
$372$	−26.6022	−	26.0382i	−1.37926	−	1.35002i
$373$	−18.2379	+	10.5296i	−0.944321	+	0.545204i	−0.891312	−	0.453390i	$-0.850214\pi$
$373$	−18.2379	+	10.5296i	−0.944321	+	0.545204i	−0.0530086	+	0.998594i	$0.516881\pi$
$374$	−29.8452	+	22.0230i	−1.54326	+	1.13878i
$375$	−18.4212	+	7.29859i	−0.951266	+	0.376897i
$376$	−25.9052	−	58.1841i	−1.33596	−	3.00062i
$377$	−0.275637	−	0.0895598i	−0.0141960	−	0.00461256i
$378$	7.84426	+	18.6232i	0.403465	+	0.957872i
$379$	24.0003	−	17.4372i	1.23281	−	0.895691i	0.235715	−	0.971822i	$-0.424257\pi$
$379$	24.0003	−	17.4372i	1.23281	−	0.895691i	0.997098	+	0.0761314i	$0.0242568\pi$
$380$	0.995973	+	9.47605i	0.0510923	+	0.486111i
$381$	0.113647	+	0.137309i	0.00582232	+	0.00703454i
$382$	−2.08062	−	9.78855i	−0.106454	−	0.500826i
$383$	2.65347	+	0.278891i	0.135586	+	0.0142506i	0.172078	−	0.985083i	$-0.444952\pi$
$383$	2.65347	+	0.278891i	0.135586	+	0.0142506i	−0.0364924	+	0.999334i	$0.511618\pi$
$384$	−39.2162	−	5.78132i	−2.00124	−	0.295027i
$385$	3.50813	+	5.97375i	0.178791	+	0.304451i
$386$		−	67.1784i		−	3.41929i
$387$	5.88156	+	2.46905i	0.298977	+	0.125509i
$388$	9.81361	−	30.2032i	0.498210	−	1.53333i
$389$	0.132531	−	0.623511i	0.00671961	−	0.0316133i	−0.974660	−	0.223691i	$-0.928189\pi$
$389$	0.132531	−	0.623511i	0.00671961	−	0.0316133i	0.981380	+	0.192078i	$0.0615226\pi$
$390$	0.836753	−	20.0797i	0.0423707	−	1.01678i
$391$	9.80597	−	22.0246i	0.495909	−	1.11383i
$392$	−28.8616	+	32.0541i	−1.45773	+	1.61897i
$393$	14.7330	+	22.1635i	0.743184	+	1.11800i
$394$	47.3036	−	21.0609i	2.38312	−	1.06103i
$395$	−14.4984			−0.729492
$396$	44.5266	−	27.4481i	2.23755	−	1.37932i
$397$	−25.2145			−1.26548			−0.632741	−	0.774364i	$-0.718070\pi$
$397$	−25.2145			−1.26548			−0.632741	+	0.774364i	$0.718070\pi$
$398$	64.0169	−	28.5021i	3.20888	−	1.42868i
$399$	−1.39203	+	2.80591i	−0.0696885	+	0.140471i
$400$	25.5211	−	28.3441i	1.27606	−	1.41720i
$401$	−11.8646	+	26.6483i	−0.592489	+	1.33075i	0.329726	+	0.944077i	$0.393044\pi$
$401$	−11.8646	+	26.6483i	−0.592489	+	1.33075i	−0.922216	+	0.386676i	$0.873623\pi$
$402$	−13.5407	−	8.58865i	−0.675351	−	0.428363i
$403$	−2.53025	+	11.9039i	−0.126041	+	0.592976i
$404$	−18.9132	+	58.2088i	−0.940966	+	2.89600i
$405$	2.15931	−	12.8417i	0.107297	−	0.638109i
$406$			0.378625i			0.0187908i
$407$	3.21870	−	32.9685i	0.159545	−	1.63419i
$408$	−23.2389	−	58.6537i	−1.15050	−	2.90379i
$409$	−16.5173	−	1.73603i	−0.816726	−	0.0858413i	−0.313053	−	0.949736i	$-0.601352\pi$
$409$	−16.5173	−	1.73603i	−0.816726	−	0.0858413i	−0.503673	+	0.863894i	$0.668018\pi$
$410$	−3.70399	−	17.4259i	−0.182927	−	0.860603i
$411$	6.35869	−	1.07706i	0.313651	−	0.0531277i
$412$	1.84080	+	17.5140i	0.0906897	+	0.862855i
$413$	3.53499	−	2.56832i	0.173945	−	0.126379i
$414$	−22.5907	+	41.1393i	−1.11027	+	2.02188i
$415$	8.20739	+	2.66674i	0.402885	+	0.130905i
$416$	21.5549	+	48.4132i	1.05682	+	2.37365i
$417$	23.1020	+	18.3014i	1.13131	+	0.896224i
$418$	10.6696	+	3.37971i	0.521869	+	0.165307i
$419$	−8.11793	+	4.68689i	−0.396587	+	0.228969i	−0.685010	−	0.728534i	$-0.740202\pi$
$419$	−8.11793	+	4.68689i	−0.396587	+	0.228969i	0.288423	+	0.957503i	$0.406869\pi$
$420$	−18.3174	+	5.11906i	−0.893799	+	0.249785i
$421$	−2.21553	−	2.46060i	−0.107978	−	0.119922i	0.686733	−	0.726910i	$-0.259044\pi$
$421$	−2.21553	−	2.46060i	−0.107978	−	0.119922i	−0.794711	+	0.606988i	$0.792378\pi$
$422$	−58.2537	+	18.9278i	−2.83575	+	0.921390i
$423$	−14.2214	+	16.4917i	−0.691468	+	0.801852i
$424$	1.73282	+	2.38502i	0.0841532	+	0.115827i
$425$	11.8024	+	2.50868i	0.572501	+	0.121689i
$426$	38.3223	+	19.0119i	1.85672	+	0.921128i
$427$	0.0480331	−	0.457005i	0.00232449	−	0.0221160i
$428$	−24.8519	−	43.0448i	−1.20126	−	2.08065i
$429$	−15.3750	−	7.48638i	−0.742312	−	0.361446i
$430$	−4.14383	+	7.17732i	−0.199833	+	0.346121i
$431$	1.72195	+	1.25107i	0.0829434	+	0.0602619i	0.628484	−	0.777822i	$-0.283676\pi$
$431$	1.72195	+	1.25107i	0.0829434	+	0.0602619i	−0.545541	+	0.838084i	$0.683676\pi$
$432$	19.7551	+	65.2619i	0.950467	+	3.13991i
$433$	−4.76068	−	14.6519i	−0.228784	−	0.704124i	−0.997885	−	0.0649975i	$-0.979296\pi$
$433$	−4.76068	−	14.6519i	−0.228784	−	0.704124i	0.769102	−	0.639126i	$-0.220704\pi$
$434$	15.8117	−	1.66187i	0.758984	−	0.0797724i
$435$	0.130685	−	0.206037i	0.00626588	−	0.00987870i
$436$	16.0694	+	14.4690i	0.769587	+	0.692939i
$437$	−7.11582	+	1.51251i	−0.340396	+	0.0723534i
$438$	−23.1683	+	23.6700i	−1.10702	+	1.13100i
$439$	−31.0083	−	17.9026i	−1.47995	−	0.854447i	−0.480203	−	0.877157i	$-0.659437\pi$
$439$	−31.0083	−	17.9026i	−1.47995	−	0.854447i	−0.999742	+	0.0227105i	$0.992770\pi$
$440$	17.4098	+	38.3372i	0.829981	+	1.82765i
$441$	14.1204	+	4.25579i	0.672399	+	0.202656i
$442$	−19.5682	+	26.9333i	−0.930764	+	1.28109i
$443$	−8.91597	+	8.02798i	−0.423611	+	0.381421i	−0.853183	−	0.521612i	$-0.825331\pi$
$443$	−8.91597	+	8.02798i	−0.423611	+	0.381421i	0.429572	+	0.903032i	$0.358664\pi$
$444$	85.2460	+	31.6794i	4.04560	+	1.50344i
$445$	−6.76211	−	3.01068i	−0.320555	−	0.142720i
$446$	55.9835	+	24.9255i	2.65090	+	1.18026i
$447$	18.5930	+	6.90958i	0.879417	+	0.326812i
$448$	23.2936	−	20.9737i	1.10052	−	0.990913i
$449$	−15.0088	+	20.6578i	−0.708307	+	0.974901i	0.291525	+	0.956563i	$0.405837\pi$
$449$	−15.0088	+	20.6578i	−0.708307	+	0.974901i	−0.999832	+	0.0183378i	$0.994163\pi$
$450$	−22.4903	−	6.77841i	−1.06020	−	0.319537i
$451$	−14.8507	−	3.04196i	−0.699292	−	0.143240i
$452$	92.0676	+	53.1552i	4.33050	+	2.50021i
$453$	1.28788	−	1.31577i	0.0605100	−	0.0618205i
$454$	−21.4166	+	4.55224i	−1.00513	+	0.213647i
$455$	4.62087	+	4.16065i	0.216630	+	0.195054i
$456$	−10.1967	+	16.0760i	−0.477506	+	0.752829i
$457$	−1.01435	+	0.106612i	−0.0474492	+	0.00498711i	−0.128223	−	0.991745i	$-0.540927\pi$
$457$	−1.01435	+	0.106612i	−0.0474492	+	0.00498711i	0.0807741	+	0.996732i	$0.474261\pi$
$458$	−11.3160	−	34.8272i	−0.528764	−	1.62737i
$459$	−14.7552	+	15.7354i	−0.688713	+	0.734465i
$460$	−35.7370	−	25.9645i	−1.66625	−	1.21060i
$461$	−2.26202	+	3.91794i	−0.105353	+	0.182477i	−0.913882	−	0.405979i	$-0.866931\pi$
$461$	−2.26202	+	3.91794i	−0.105353	+	0.182477i	0.808529	+	0.588456i	$0.200264\pi$
$462$	−3.09466	+	22.1252i	−0.143976	+	1.02936i
$463$	4.22594	+	7.31953i	0.196396	+	0.340168i	0.947357	−	0.320179i	$-0.103743\pi$
$463$	4.22594	+	7.31953i	0.196396	+	0.340168i	−0.750961	+	0.660346i	$0.770410\pi$
$464$	−0.133543	+	1.27058i	−0.00619959	+	0.0589852i
$465$	−9.17786	−	4.55318i	−0.425613	−	0.211149i
$466$	13.3265	+	2.83264i	0.617339	+	0.131219i
$467$	−3.64591	−	5.01817i	−0.168713	−	0.232213i	0.716286	−	0.697807i	$-0.245841\pi$
$467$	−3.64591	−	5.01817i	−0.168713	−	0.232213i	−0.884998	+	0.465594i	$0.845841\pi$
$468$	30.6601	−	35.5546i	1.41726	−	1.64351i
$469$	4.71832	−	1.53308i	0.217872	−	0.0707909i
$470$	−18.9320	−	21.0261i	−0.873266	−	0.969860i
$471$	−0.142441	+	0.0398073i	−0.00656335	+	0.00183422i
$472$	22.9990	−	13.2785i	1.05861	−	0.611191i
$473$	4.18717	+	5.67438i	0.192526	+	0.260908i
$474$	−36.6483	−	29.0328i	−1.68331	−	1.33352i
$475$	−1.48089	−	3.32613i	−0.0679479	−	0.152614i
$476$	29.9639	+	9.73586i	1.37339	+	0.446242i
$477$	0.485173	−	0.883533i	0.0222146	−	0.0404542i
$478$	−43.9497	+	31.9314i	−2.01021	+	1.46051i
$479$	−2.33164	−	22.1841i	−0.106535	−	1.01362i	−0.908966	−	0.416871i	$-0.863127\pi$
$479$	−2.33164	−	22.1841i	−0.106535	−	1.01362i	0.802430	−	0.596746i	$-0.203540\pi$
$480$	−43.9873	+	7.45077i	−2.00774	+	0.340079i
$481$	−6.18159	−	29.0821i	−0.281856	−	1.32603i
$482$	−75.8224	−	7.96925i	−3.45361	−	0.362989i
$483$	−5.34885	−	13.5002i	−0.243381	−	0.614279i
$484$	57.8212	−	0.855641i	2.62824	−	0.0388928i
$485$		−	8.74055i		−	0.396888i
$486$	31.1735	−	28.1367i	1.41406	−	1.27631i
$487$	10.5290	−	32.4051i	0.477117	−	1.46841i	−0.365965	−	0.930629i	$-0.619261\pi$
$487$	10.5290	−	32.4051i	0.477117	−	1.46841i	0.843082	−	0.537786i	$-0.180739\pi$
$488$	0.580675	−	2.73186i	0.0262859	−	0.123665i
$489$	4.28517	+	2.71801i	0.193782	+	0.122913i
$490$	−7.79351	+	17.5045i	−0.352075	+	0.790773i
$491$	12.5962	−	13.9895i	0.568460	−	0.631338i	−0.388539	−	0.921432i	$-0.627020\pi$
$491$	12.5962	−	13.9895i	0.568460	−	0.631338i	0.956998	+	0.290094i	$0.0936866\pi$
$492$	18.4958	−	37.2819i	0.833853	−	1.68080i
$493$	−0.369228	+	0.164391i	−0.0166292	+	0.00740380i
$494$	10.0456			0.451972
$495$	9.32071	−	10.9717i	0.418935	−	0.493143i
$496$	53.6466			2.40880
$497$	−12.0914	+	5.38345i	−0.542375	+	0.241481i
$498$	15.4062	+	23.1761i	0.690367	+	1.03854i
$499$	5.08399	−	5.64634i	0.227591	−	0.252765i	−0.618524	−	0.785766i	$-0.712269\pi$
$499$	5.08399	−	5.64634i	0.227591	−	0.252765i	0.846115	+	0.533001i	$0.178936\pi$
$500$	24.4611	−	54.9404i	1.09393	−	2.45701i
$501$	−0.321175	+	7.70728i	−0.0143490	+	0.344336i
$502$	13.0998	−	61.6298i	0.584674	−	2.75067i
$503$	8.18033	−	25.1765i	0.364743	−	1.12256i	−0.585399	−	0.810745i	$-0.699062\pi$
$503$	8.18033	−	25.1765i	0.364743	−	1.12256i	0.950142	−	0.311818i	$-0.100938\pi$
$504$	−35.0378	−	14.7087i	−1.56071	−	0.655178i
$505$			16.8451i			0.749599i
$506$	−44.7425	+	26.2754i	−1.98905	+	1.16808i
$507$	7.09109	+	1.04538i	0.314926	+	0.0464269i
$508$	−0.538022	−	0.0565484i	−0.0238709	−	0.00250893i
$509$	2.65076	+	12.4708i	0.117493	+	0.552760i	0.997036	+	0.0769406i	$0.0245152\pi$
$509$	2.65076	+	12.4708i	0.117493	+	0.552760i	−0.879543	+	0.475820i	$0.842151\pi$
$510$	−17.8699	−	21.5905i	−0.791294	−	0.956042i
$511$	−1.07118	−	10.1916i	−0.0473861	−	0.450849i
$512$	2.69612	−	1.95884i	0.119153	−	0.0865695i
$513$	6.45832	+	0.811144i	0.285142	+	0.0358129i
$514$	1.06700	+	0.346689i	0.0470633	+	0.0152918i
$515$	1.97141	+	4.42787i	0.0868709	+	0.195115i
$516$	−17.9994	+	7.13146i	−0.792378	+	0.313945i
$517$	−22.8410	+	7.60878i	−1.00455	+	0.334634i
$518$	−33.6380	+	19.4209i	−1.47797	+	0.853305i
$519$	12.9354	+	12.6612i	0.567802	+	0.555766i
$520$	25.2877	+	28.0848i	1.10894	+	1.23160i
$521$	6.80629	−	2.21150i	0.298189	−	0.0968875i	−0.156102	−	0.987741i	$-0.549893\pi$
$521$	6.80629	−	2.21150i	0.298189	−	0.0968875i	0.454291	+	0.890854i	$0.349893\pi$
$522$	0.742926	−	0.259115i	0.0325170	−	0.0113411i
$523$	18.1933	+	25.0410i	0.795539	+	1.09497i	0.993396	+	0.114734i	$0.0366017\pi$
$523$	18.1933	+	25.0410i	0.795539	+	1.09497i	−0.197857	+	0.980231i	$0.563398\pi$
$524$	−79.0112	−	16.7944i	−3.45162	−	0.733665i
$525$	6.05237	−	4.02328i	0.264147	−	0.175590i
$526$	−7.91758	+	75.3308i	−0.345223	+	3.28458i
$527$	8.48573	+	14.6977i	0.369644	+	0.640243i
$528$	−18.1887	+	73.1556i	−0.791560	+	3.18369i
$529$	5.36315	−	9.28924i	0.233180	−	0.403880i
$530$	1.05950	+	0.769775i	0.0460219	+	0.0334369i
$531$	−7.45867	−	5.17860i	−0.323679	−	0.224732i
$532$	−2.93777	−	9.04152i	−0.127368	−	0.392000i
$533$	−13.5316	+	1.42223i	−0.586118	+	0.0616035i
$534$	−11.0641	−	21.1513i	−0.478791	−	0.915306i
$535$	−10.1661	−	9.15362i	−0.439520	−	0.395746i
$536$	29.4940	−	6.26914i	1.27395	−	0.270785i
$537$	16.9032	+	4.33567i	0.729427	+	0.187098i
$538$	31.6392	+	18.2669i	1.36406	+	0.787541i
$539$	10.9990	+	12.0354i	0.473762	+	0.518401i
$540$	22.5802	+	32.4386i	0.971695	+	1.39594i
$541$	25.5272	−	35.1352i	1.09750	−	1.51058i	0.258845	−	0.965919i	$-0.416658\pi$
$541$	25.5272	−	35.1352i	1.09750	−	1.51058i	0.838656	−	0.544661i	$-0.183342\pi$
$542$	22.3049	−	20.0834i	0.958077	−	0.862657i
$543$	−20.6876	+	17.1226i	−0.887789	+	0.734802i
$544$	67.5146	+	30.0594i	2.89466	+	1.28879i
$545$	5.43688	+	2.42066i	0.232890	+	0.103689i
$546$	3.34879	+	19.7703i	0.143315	+	0.846092i
$547$	−5.55409	+	5.00092i	−0.237476	+	0.213824i	−0.779272	−	0.626686i	$-0.784411\pi$
$547$	−5.55409	+	5.00092i	−0.237476	+	0.213824i	0.541796	+	0.840510i	$0.317744\pi$
$548$	−11.5056	+	15.8361i	−0.491496	+	0.676487i
$549$	−0.929593	+	0.218506i	−0.0396741	+	0.00932560i
$550$	−17.5187	−	19.1694i	−0.747001	−	0.817386i
$551$	0.105618	+	0.0609787i	0.00449949	+	0.00259778i
$552$	−23.7545	−	85.0002i	−1.01106	−	3.61785i
$553$	14.1496	−	3.00760i	0.601704	−	0.127896i
$554$	19.5876	+	17.6368i	0.832199	+	0.749315i
$555$	25.0081	+	1.04213i	1.06154	+	0.0442359i
$556$	−88.9646	+	9.35056i	−3.77294	+	0.396552i
$557$	8.26967	+	25.4514i	0.350397	+	1.07841i	0.958631	+	0.284653i	$0.0918785\pi$
$557$	8.26967	+	25.4514i	0.350397	+	1.07841i	−0.608233	+	0.793758i	$0.708121\pi$
$558$	−14.0817	−	29.8879i	−0.596126	−	1.26525i
$559$	5.12075	+	3.72044i	0.216585	+	0.157358i
$560$	13.7049	−	23.7376i	0.579139	−	1.00310i
$561$	−22.9197	+	6.58844i	−0.967672	+	0.278164i
$562$	−16.4124	−	28.4270i	−0.692314	−	1.19912i
$563$	−2.44072	+	23.2219i	−0.102864	+	0.978688i	0.814372	+	0.580343i	$0.197082\pi$
$563$	−2.44072	+	23.2219i	−0.102864	+	0.978688i	−0.917236	+	0.398344i	$0.869585\pi$
$564$	−4.16604	−	65.9642i	−0.175422	−	2.77759i
$565$	28.6202	+	6.08342i	1.20406	+	0.255931i
$566$	24.3742	+	33.5483i	1.02453	+	1.41014i
$567$	0.556559	+	12.9808i	0.0233733	+	0.545141i
$568$	−76.5070	+	24.8586i	−3.21016	+	1.04305i
$569$	3.63387	+	4.03583i	0.152340	+	0.169191i	0.814484	−	0.580186i	$-0.197020\pi$
$569$	3.63387	+	4.03583i	0.152340	+	0.169191i	−0.662144	+	0.749376i	$0.730353\pi$
$570$	−2.10118	+	8.19172i	−0.0880087	+	0.343114i
$571$	−8.79380	+	5.07710i	−0.368009	+	0.212470i	−0.672588	−	0.740017i	$-0.734817\pi$
$571$	−8.79380	+	5.07710i	−0.368009	+	0.212470i	0.304579	+	0.952487i	$0.401484\pi$
$572$	49.2432	−	16.4039i	2.05896	−	0.685880i
$573$	0.938397	−	6.36540i	0.0392021	−	0.265918i
$574$	7.22980	+	16.2384i	0.301766	+	0.677777i
$575$	16.0533	+	5.21603i	0.669468	+	0.217523i
$576$	−57.0951	−	31.3526i	−2.37896	−	1.30636i
$577$	17.0075	−	12.3566i	0.708029	−	0.514414i	−0.174508	−	0.984656i	$-0.555833\pi$
$577$	17.0075	−	12.3566i	0.708029	−	0.514414i	0.882537	+	0.470242i	$0.155833\pi$
$578$	0.0658919	+	0.626919i	0.00274074	+	0.0260764i
$579$	15.0460	−	40.4873i	0.625292	−	1.68260i
$580$	0.153967	+	0.724357i	0.00639313	+	0.0300773i
$581$	−8.56319	−	0.900028i	−0.355261	−	0.0373394i
$582$	17.5028	−	22.0940i	0.725515	−	0.915825i
$583$	0.960918	−	0.564306i	0.0397972	−	0.0233712i
$584$		−	62.2837i		−	2.57732i
$585$	5.00157	−	11.9143i	0.206790	−	0.492596i
$586$	−22.6588	+	69.7367i	−0.936028	+	2.88080i
$587$	−9.06898	+	42.6662i	−0.374317	+	1.76102i	0.238839	+	0.971059i	$0.423233\pi$
$587$	−9.06898	+	42.6662i	−0.374317	+	1.76102i	−0.613155	+	0.789962i	$0.710100\pi$
$588$	−39.6631	+	20.7475i	−1.63568	+	0.855613i
$589$	2.08294	−	4.67835i	0.0858259	−	0.192768i
$590$	7.89403	−	8.76721i	0.324992	−	0.360940i
$591$	33.2262	−	2.09843i	1.36674	−	0.0863180i
$592$	−119.731	+	53.3079i	−4.92093	+	2.19094i
$593$	37.0300			1.52064			0.760319	−	0.649549i	$-0.225042\pi$
$593$	37.0300			1.52064			0.760319	+	0.649549i	$0.225042\pi$
$594$	45.5312	−	9.06930i	1.86817	−	0.372118i
$595$	8.67130			0.355489
$596$	−54.9986	+	24.4869i	−2.25283	+	1.00302i
$597$	44.9656	−	2.83985i	1.84032	−	0.116227i
$598$	−31.1626	+	34.6096i	−1.27433	+	1.41529i
$599$	−9.79998	+	22.0111i	−0.400416	+	0.899350i	0.595001	+	0.803725i	$0.297152\pi$
$599$	−9.79998	+	22.0111i	−0.400416	+	0.899350i	−0.995417	+	0.0956251i	$0.969515\pi$
$600$	39.1397	−	20.4737i	1.59787	−	0.835836i
$601$	3.88387	−	18.2722i	0.158426	−	0.745337i	−0.825160	−	0.564899i	$-0.808915\pi$
$601$	3.88387	−	18.2722i	0.158426	−	0.745337i	0.983586	−	0.180438i	$-0.0577516\pi$
$602$	2.55527	−	7.86431i	0.104145	−	0.320525i
$603$	−6.23718	−	8.20898i	−0.253998	−	0.334296i
$604$			5.58824i			0.227382i
$605$	15.0624	−	5.14167i	0.612372	−	0.209039i
$606$	−33.7322	+	42.5804i	−1.37028	+	1.72971i
$607$	24.4696	+	2.57186i	0.993192	+	0.104389i	0.587161	−	0.809470i	$-0.300246\pi$
$607$	24.4696	+	2.57186i	0.993192	+	0.104389i	0.406032	+	0.913859i	$0.366912\pi$
$608$	−4.63650	−	21.8130i	−0.188035	−	0.884634i
$609$	−0.0848010	+	0.228191i	−0.00343631	+	0.00924677i
$610$	−0.129688	−	1.23390i	−0.00525090	−	0.0499590i
$611$	−17.4818	+	12.7013i	−0.707238	+	0.513839i
$612$	−1.40261	−	65.4571i	−0.0566973	−	2.64595i
$613$	21.4976	+	6.98501i	0.868282	+	0.282122i	0.709083	−	0.705125i	$-0.249109\pi$
$613$	21.4976	+	6.98501i	0.868282	+	0.282122i	0.159199	+	0.987247i	$0.449109\pi$
$614$	−34.0539	−	76.4864i	−1.37431	−	3.08674i
$615$	1.67056	−	11.3319i	0.0673636	−	0.456946i
$616$	−24.9439	−	33.8036i	−1.00502	−	1.36198i
$617$	8.17258	−	4.71844i	0.329016	−	0.189957i	−0.326388	−	0.945236i	$-0.605832\pi$
$617$	8.17258	−	4.71844i	0.329016	−	0.189957i	0.655404	+	0.755278i	$0.272498\pi$
$618$	−3.88349	+	15.1403i	−0.156217	+	0.609032i
$619$	−8.95871	−	9.94965i	−0.360081	−	0.399910i	0.535698	−	0.844409i	$-0.320048\pi$
$619$	−8.95871	−	9.94965i	−0.360081	−	0.399910i	−0.895779	+	0.444499i	$0.853382\pi$
$620$	29.5739	−	9.60915i	1.18772	−	0.385913i
$621$	−22.8291	+	19.7343i	−0.916100	+	0.791910i
$622$	9.04845	+	12.4541i	0.362810	+	0.499365i
$623$	7.22401	+	1.53551i	0.289424	+	0.0615190i
$624$	4.26467	+	67.5259i	0.170723	+	2.70320i
$625$	0.211100	−	2.00849i	0.00844401	−	0.0803394i
$626$	−35.6031	−	61.6663i	−1.42298	−	2.46468i
$627$	5.67347	+	4.42659i	0.226576	+	0.176781i
$628$	0.224449	−	0.388757i	0.00895648	−	0.0155131i
$629$	−33.5439	−	24.3710i	−1.33748	−	0.971737i
$630$	−16.8223	−	1.40446i	−0.670215	−	0.0559550i
$631$	−3.99811	−	12.3049i	−0.159162	−	0.489851i	0.839397	−	0.543519i	$-0.182909\pi$
$631$	−3.99811	−	12.3049i	−0.159162	−	0.489851i	−0.998559	+	0.0536685i	$0.982909\pi$
$632$	87.4386	−	9.19017i	3.47812	−	0.365565i
$633$	−39.3479	−	1.63969i	−1.56394	−	0.0651718i
$634$	3.96358	+	3.56883i	0.157414	+	0.141736i
$635$	−0.145641	+	0.0309569i	−0.00577957	+	0.00122849i
$636$	0.823436	+	2.94648i	0.0326514	+	0.116836i
$637$	12.6734	+	7.31701i	0.502140	+	0.289911i
$638$	0.852164	+	0.174554i	0.0337375	+	0.00691065i
$639$	18.8381	+	20.0412i	0.745224	+	0.792819i
$640$	19.4638	−	26.7896i	0.769373	−	1.05895i
$641$	7.42438	−	6.68494i	0.293245	−	0.264039i	−0.509355	−	0.860557i	$-0.670116\pi$
$641$	7.42438	−	6.68494i	0.293245	−	0.264039i	0.802600	+	0.596517i	$0.203449\pi$
$642$	−7.36749	−	43.4957i	−0.290772	−	1.71664i
$643$	−11.5865	−	5.15863i	−0.456926	−	0.203436i	0.165349	−	0.986235i	$-0.447125\pi$
$643$	−11.5865	−	5.15863i	−0.456926	−	0.203436i	−0.622275	+	0.782799i	$0.713791\pi$
$644$	40.2637	+	17.9265i	1.58661	+	0.706405i
$645$	−4.10493	+	3.39756i	−0.161632	+	0.133779i
$646$	10.4108	−	9.37390i	0.409606	−	0.368811i
$647$	19.3401	−	26.6193i	0.760337	−	1.04651i	−0.236849	−	0.971547i	$-0.576115\pi$
$647$	19.3401	−	26.6193i	0.760337	−	1.04651i	0.997186	−	0.0749678i	$-0.0238854\pi$
$648$	−4.88261	+	78.8161i	−0.191807	+	3.09619i
$649$	−4.15077	−	9.14018i	−0.162932	−	0.358784i
$650$	−20.1856	−	11.6542i	−0.791746	−	0.457115i
$651$	9.90165	+	2.53977i	0.388076	+	0.0995416i
$652$	−15.0653	+	3.20222i	−0.590001	+	0.125409i
$653$	15.8756	+	14.2944i	0.621259	+	0.559384i	0.918501	−	0.395418i	$-0.129400\pi$
$653$	15.8756	+	14.2944i	0.621259	+	0.559384i	−0.297242	+	0.954802i	$0.596067\pi$
$654$	8.89578	+	17.0061i	0.347853	+	0.664991i
$655$	−22.1101	+	2.32387i	−0.863914	+	0.0908010i
$656$	18.5342	+	57.0424i	0.723639	+	2.22713i
$657$	−19.2645	+	9.07652i	−0.751582	+	0.354109i
$658$	22.8383	+	16.5930i	0.890331	+	0.646863i
$659$	−5.34609	+	9.25969i	−0.208254	+	0.360706i	−0.951165	−	0.308684i	$-0.900111\pi$
$659$	−5.34609	+	9.25969i	−0.208254	+	0.360706i	0.742911	+	0.669391i	$0.233445\pi$
$660$	3.07668	+	43.5867i	0.119760	+	1.69661i
$661$	−14.6301	−	25.3401i	−0.569045	−	0.985615i	−0.996661	−	0.0816544i	$-0.973980\pi$
$661$	−14.6301	−	25.3401i	−0.569045	−	0.985615i	0.427616	−	0.903961i	$-0.359354\pi$
$662$	−1.14808	+	10.9233i	−0.0446215	+	0.424545i
$663$	−17.8257	+	11.8496i	−0.692294	+	0.460199i
$664$	−51.1886	−	10.8805i	−1.98650	−	0.422244i
$665$	−1.53796	−	2.11683i	−0.0596397	−	0.0820870i
$666$	61.1275	+	52.7126i	2.36864	+	2.04257i
$667$	−0.537728	+	0.174718i	−0.0208209	+	0.00676512i
$668$	−15.6664	−	17.3994i	−0.606153	−	0.673201i
$669$	28.1578	+	27.5609i	1.08864	+	1.06557i
$670$	11.6003	−	6.69744i	0.448159	−	0.258745i
$671$	−1.00643	−	0.318796i	−0.0388528	−	0.0123070i
$672$	41.3837	−	16.3965i	1.59641	−	0.632508i
$673$	−16.9757	−	38.1281i	−0.654366	−	1.46973i	−0.869897	−	0.493233i	$-0.835815\pi$
$673$	−16.9757	−	38.1281i	−0.654366	−	1.46973i	0.215531	−	0.976497i	$-0.430852\pi$
$674$	−73.0890	−	23.7481i	−2.81528	−	0.914741i
$675$	−12.0363	−	9.12241i	−0.463279	−	0.351122i
$676$	−17.6003	+	12.7874i	−0.676935	+	0.491822i
$677$	−3.10946	−	29.5845i	−0.119506	−	1.13703i	−0.875760	−	0.482747i	$-0.839639\pi$
$677$	−3.10946	−	29.5845i	−0.119506	−	1.13703i	0.756254	−	0.654278i	$-0.227028\pi$
$678$	60.1630	+	72.6890i	2.31055	+	2.79160i
$679$	1.81318	+	8.53032i	0.0695833	+	0.327364i
$680$	52.4139	+	5.50892i	2.00998	+	0.211257i
$681$	−13.9270	−	2.05314i	−0.533684	−	0.0786766i
$682$	3.54915	−	36.3532i	0.135904	−	1.39204i
$683$			27.9122i			1.06803i	0.845475	+	0.534015i	$0.179317\pi$
$683$			27.9122i			1.06803i	−0.845475	+	0.534015i	$0.820683\pi$
$684$	−15.7305	+	11.9520i	−0.601472	+	0.456998i
$685$	−1.66482	+	5.12378i	−0.0636094	+	0.195770i
$686$	9.63482	−	45.3283i	0.367859	−	1.73064i
$687$	0.980294	−	23.5243i	0.0374006	−	0.897507i
$688$	11.3487	−	25.4896i	0.432665	−	0.971782i
$689$	0.669268	−	0.743298i	0.0254971	−	0.0283174i
$690$	−21.7045	−	32.6508i	−0.826275	−	1.24300i
$691$	1.17256	−	0.522059i	0.0446064	−	0.0198601i	−0.384312	−	0.923203i	$-0.625561\pi$
$691$	1.17256	−	0.522059i	0.0446064	−	0.0198601i	0.428919	+	0.903343i	$0.358895\pi$
$692$	−54.9382			−2.08844
$693$	−6.82050	+	12.6414i	−0.259089	+	0.480206i
$694$	−27.8516			−1.05723
$695$	−22.4919	+	10.0140i	−0.853165	+	0.379854i
$696$	−0.657553	+	1.32543i	−0.0249245	+	0.0502403i
$697$	−12.6964	+	14.1008i	−0.480910	+	0.534104i
$698$	20.2197	−	45.4142i	0.765327	−	1.71895i
$699$	7.39725	+	4.69194i	0.279790	+	0.177466i
$700$	−4.58618	+	21.5763i	−0.173341	+	0.815507i
$701$	−9.82030	+	30.2238i	−0.370908	+	1.14154i	0.575290	+	0.817949i	$0.304889\pi$
$701$	−9.82030	+	30.2238i	−0.370908	+	1.14154i	−0.946198	+	0.323588i	$0.895111\pi$
$702$	36.5010	−	20.1009i	1.37764	−	0.758659i
$703$			12.5112i			0.471869i
$704$	−36.4662	−	62.0959i	−1.37437	−	2.34033i
$705$	−6.70075	−	16.9123i	−0.252365	−	0.636954i
$706$	35.8783	+	3.77097i	1.35030	+	0.141922i
$707$	−3.49443	−	16.4400i	−0.131421	−	0.618289i
$708$	27.1727	−	4.60264i	1.02121	−	0.172978i
$709$	−0.0500839	−	0.476516i	−0.00188094	−	0.0178959i	0.993541	−	0.113472i	$-0.0361973\pi$
$709$	−0.0500839	−	0.476516i	−0.00188094	−	0.0178959i	−0.995422	+	0.0955763i	$0.969531\pi$
$710$	−28.9110	+	21.0050i	−1.08501	+	0.788305i
$711$	−15.5848	−	25.7057i	−0.584477	−	0.964041i
$712$	42.6902	+	13.8709i	1.59988	+	0.519833i
$713$	9.65659	+	21.6891i	0.361642	+	0.812262i
$714$	21.9189	+	17.3642i	0.820296	+	0.649837i
$715$	11.4946	−	8.48197i	0.429874	−	0.317208i
$716$	−45.8688	+	26.4823i	−1.71420	+	0.989692i
$717$	−33.6395	+	9.40104i	−1.25629	+	0.351088i
$718$	11.2496	+	12.4940i	0.419833	+	0.466271i
$719$	22.0526	−	7.16534i	0.822425	−	0.267222i	0.132574	−	0.991173i	$-0.457676\pi$
$719$	22.0526	−	7.16534i	0.822425	−	0.267222i	0.689851	+	0.723951i	$0.257676\pi$
$720$	−55.9564	−	10.6464i	−2.08537	−	0.396767i
$721$	−2.84253	−	3.91241i	−0.105862	−	0.145706i
$722$	45.9306	+	9.76285i	1.70936	+	0.363336i
$723$	−43.9120	−	21.7850i	−1.63311	−	0.810192i
$724$	8.51985	−	81.0610i	0.316638	−	3.01261i
$725$	−0.141487	−	0.245062i	−0.00525468	−	0.00910137i
$726$	48.3701	+	17.1653i	1.79518	+	0.637062i
$727$	−19.7219	+	34.1593i	−0.731444	+	1.26690i	0.224822	+	0.974400i	$0.427820\pi$
$727$	−19.7219	+	34.1593i	−0.731444	+	1.26690i	−0.956266	+	0.292498i	$0.905513\pi$
$728$	−30.5055	−	22.1635i	−1.13061	−	0.821435i
$729$	25.0896	−	9.97556i	0.929245	−	0.369465i
$730$	−8.55002	−	26.3143i	−0.316450	−	0.973934i
$731$	8.77859	−	0.922667i	0.324688	−	0.0341261i
$732$	1.55243	−	2.44754i	0.0573795	−	0.0904637i
$733$	−7.26549	−	6.54188i	−0.268357	−	0.241630i	0.523955	−	0.851746i	$-0.324456\pi$
$733$	−7.26549	−	6.54188i	−0.268357	−	0.241630i	−0.792312	+	0.610116i	$0.791123\pi$
$734$	−20.2904	+	4.31287i	−0.748934	+	0.159191i
$735$	−8.61753	+	8.80416i	−0.317862	+	0.324746i
$736$	89.5343	+	51.6927i	3.30028	+	1.90542i
$737$	−1.27523	−	11.3262i	−0.0469735	−	0.417207i
$738$	26.9147	−	25.2990i	0.990744	−	0.931268i
$739$	−14.0478	+	19.3351i	−0.516757	+	0.711255i	−0.985040	−	0.172324i	$-0.944873\pi$
$739$	−14.0478	+	19.3351i	−0.516757	+	0.711255i	0.468284	+	0.883578i	$0.344873\pi$
$740$	−56.4563	+	50.8335i	−2.07538	+	1.86868i
$741$	6.05431	+	2.24992i	0.222411	+	0.0826530i
$742$	−1.19371	−	0.531472i	−0.0438223	−	0.0195110i
$743$	−33.6405	−	14.9777i	−1.23415	−	0.549480i	−0.317155	−	0.948374i	$-0.602727\pi$
$743$	−33.6405	−	14.9777i	−1.23415	−	0.549480i	−0.916997	+	0.398894i	$0.869394\pi$
$744$	58.2372	+	21.6423i	2.13508	+	0.793445i
$745$	−12.3137	+	11.0873i	−0.451137	+	0.406206i
$746$	33.3459	−	45.8967i	1.22088	−	1.68040i
$747$	4.09428	+	17.4184i	0.149802	+	0.637305i
$748$	35.7263	−	62.9508i	1.30628	−	2.30171i
$749$	11.8205	+	6.82456i	0.431911	+	0.249364i
$750$	37.3373	−	38.1459i	1.36337	−	1.39289i
$751$	30.0301	−	6.38311i	1.09582	−	0.232923i	0.375675	−	0.926751i	$-0.377411\pi$
$751$	30.0301	−	6.38311i	1.09582	−	0.232923i	0.720140	+	0.693828i	$0.244077\pi$
$752$	70.7879	+	63.7377i	2.58137	+	2.32428i
$753$	21.6984	−	34.2093i	0.790732	−	1.24666i
$754$	0.776471	−	0.0816104i	0.0282774	−	0.00297207i
$755$	0.475281	+	1.46276i	0.0172972	+	0.0532354i
$756$	−28.7663	−	26.9743i	−1.04622	−	0.981046i
$757$	−34.5971	−	25.1362i	−1.25745	−	0.913592i	−0.258822	−	0.965925i	$-0.583334\pi$
$757$	−34.5971	−	25.1362i	−1.25745	−	0.913592i	−0.998630	+	0.0523331i	$0.983334\pi$
$758$	−39.9585	+	69.2101i	−1.45136	+	2.51383i
$759$	−32.8505	+	5.81471i	−1.19240	+	0.211061i
$760$	−7.95143	−	13.7723i	−0.288429	−	0.499573i
$761$	2.82341	−	26.8629i	0.102348	−	0.973781i	−0.816012	−	0.578035i	$-0.803820\pi$
$761$	2.82341	−	26.8629i	0.102348	−	0.973781i	0.918360	−	0.395746i	$-0.129514\pi$
$762$	−0.430135	−	0.213392i	−0.0155821	−	0.00773037i
$763$	−5.80827	−	1.23458i	−0.210273	−	0.0446950i
$764$	11.4788	+	15.7991i	0.415287	+	0.571593i
$765$	−5.93428	−	17.0146i	−0.214554	−	0.615163i
$766$	−6.83574	+	2.22107i	−0.246985	+	0.0802504i
$767$	−6.02897	−	6.69585i	−0.217693	−	0.241773i
$768$	30.4072	−	8.49773i	1.09723	−	0.306635i
$769$	41.9099	−	24.1967i	1.51131	−	0.872555i	0.511396	−	0.859345i	$-0.329129\pi$
$769$	41.9099	−	24.1967i	1.51131	−	0.872555i	0.999913	−	0.0132095i	$-0.00420483\pi$
$770$	−15.1789	−	10.8575i	−0.547011	−	0.391277i
$771$	0.565415	+	0.447921i	0.0203629	+	0.0161315i
$772$	53.3218	+	119.763i	1.91909	+	4.31036i
$773$	33.6456	+	10.9321i	1.21015	+	0.393201i	0.843485	−	0.537152i	$-0.180500\pi$
$773$	33.6456	+	10.9321i	1.21015	+	0.393201i	0.366664	+	0.930354i	$0.380500\pi$
$774$	−17.1798	+	0.368129i	−0.617516	+	0.0132321i
$775$	−9.61296	+	6.98422i	−0.345308	+	0.250881i
$776$	5.54043	+	52.7136i	0.198890	+	1.89231i
$777$	−24.6228	+	4.17072i	−0.883338	+	0.149624i
$778$	0.357025	+	1.67967i	0.0128000	+	0.0602192i
$779$	5.69412	+	0.598476i	0.204013	+	0.0214426i
$780$	14.4462	+	36.4614i	0.517258	+	1.30553i
$781$	6.54205	+	29.6959i	0.234093	+	1.06260i
$782$			64.9467i			2.32249i
$783$	0.505784	+	0.0102298i	0.0180752	+	0.000365582i
$784$	19.9344	−	61.3518i	0.711943	−	2.19113i
$785$	0.0256873	−	0.120849i	0.000916819	−	0.00431330i
$786$	−60.5425	−	38.4010i	−2.15948	−	1.36972i
$787$	10.4896	−	23.5601i	0.373914	−	0.839825i	−0.624362	−	0.781135i	$-0.714641\pi$
$787$	10.4896	−	23.5601i	0.373914	−	0.839825i	0.998276	−	0.0586900i	$-0.0186924\pi$
$788$	−67.6141	+	75.0931i	−2.40865	+	2.67508i
$789$	−21.6437	+	43.6273i	−0.770537	+	1.55317i
$790$	35.6803	−	15.8859i	1.26945	−	0.565195i
$791$	−29.1938			−1.03801
$792$	−49.2578	+	72.0780i	−1.75030	+	2.56118i
$793$	−0.947564			−0.0336490
$794$	62.0528	−	27.6277i	2.20217	−	0.980470i
$795$	0.466139	+	0.701229i	0.0165322	+	0.0248700i
$796$	−91.5034	+	101.625i	−3.24325	+	3.60200i
$797$	6.93844	−	15.5840i	0.245772	−	0.552013i	−0.747967	−	0.663735i	$-0.768970\pi$
$797$	6.93844	−	15.5840i	0.245772	−	0.552013i	0.993739	+	0.111722i	$0.0356368\pi$
$798$	0.351316	−	8.43057i	0.0124364	−	0.298439i
$799$	−6.26530	+	29.4759i	−0.221650	+	1.04278i
$800$	−15.9893	+	49.2101i	−0.565308	+	1.73984i
$801$	−1.93088	−	15.2256i	−0.0682242	−	0.537970i
$802$		−	78.5813i		−	2.77480i
$803$	−23.4319	−	2.28764i	−0.826892	−	0.0807292i
$804$	30.9570	+	4.56372i	1.09177	+	0.160950i
$805$	12.0640	+	1.26797i	0.425199	+	0.0446902i
$806$	−6.81623	−	32.0678i	−0.240091	−	1.12954i
$807$	14.9772	+	18.0954i	0.527221	+	0.636989i
$808$	−10.6777	−	101.592i	−0.375641	−	3.57399i
$809$	38.7684	−	28.1669i	1.36302	−	0.990295i	0.364778	−	0.931095i	$-0.381145\pi$
$809$	38.7684	−	28.1669i	1.36302	−	0.990295i	0.998246	−	0.0592001i	$-0.0188550\pi$
$810$	8.75666	+	33.9693i	0.307678	+	1.19356i
$811$	45.0299	+	14.6311i	1.58121	+	0.513768i	0.962369	−	0.271745i	$-0.0876009\pi$
$811$	45.0299	+	14.6311i	1.58121	+	0.513768i	0.618845	+	0.785513i	$0.287601\pi$
$812$	−0.300527	−	0.674996i	−0.0105464	−	0.0236877i
$813$	17.9409	−	7.10830i	0.629215	−	0.249299i
$814$	28.2025	+	84.6619i	0.988497	+	2.96740i
$815$	−3.67109	+	2.11951i	−0.128593	+	0.0742430i
$816$	67.4306	+	66.0012i	2.36054	+	2.31050i
$817$	−1.78223	−	1.97937i	−0.0623524	−	0.0692494i
$818$	42.5510	−	13.8257i	1.48776	−	0.483403i
$819$	−2.40972	+	12.6653i	−0.0842025	+	0.442561i
$820$	20.4348	+	28.1261i	0.713615	+	0.982207i
$821$	−17.1942	−	3.65474i	−0.600081	−	0.127551i	−0.102152	−	0.994769i	$-0.532573\pi$
$821$	−17.1942	−	3.65474i	−0.600081	−	0.127551i	−0.497929	+	0.867218i	$0.665906\pi$
$822$	−14.4685	+	9.61789i	−0.504649	+	0.335463i
$823$	−2.98965	+	28.4446i	−0.104212	+	0.991516i	0.810041	+	0.586373i	$0.199445\pi$
$823$	−2.98965	+	28.4446i	−0.104212	+	0.991516i	−0.914254	+	0.405142i	$0.867222\pi$
$824$	−14.6962	−	25.4545i	−0.511966	−	0.886751i
$825$	−6.26487	−	15.4768i	−0.218115	−	0.538832i
$826$	−5.88546	+	10.1939i	−0.204781	+	0.354691i
$827$	13.0031	+	9.44733i	0.452163	+	0.328516i	0.790449	−	0.612527i	$-0.209847\pi$
$827$	13.0031	+	9.44733i	0.452163	+	0.328516i	−0.338286	+	0.941043i	$0.609847\pi$
$828$	7.62017	−	91.2724i	0.264819	−	3.17193i
$829$	0.324003	+	0.997179i	0.0112531	+	0.0346335i	0.956525	−	0.291649i	$-0.0942039\pi$
$829$	0.324003	+	0.997179i	0.0112531	+	0.0346335i	−0.945272	+	0.326282i	$0.894204\pi$
$830$	−23.1203	+	2.43004i	−0.802517	+	0.0843479i
$831$	7.85502	+	15.0165i	0.272488	+	0.520916i
$832$	−48.0329	−	43.2490i	−1.66524	−	1.49939i
$833$	19.9619	−	4.24304i	0.691640	−	0.147013i
$834$	−76.9069	−	19.7266i	−2.66307	−	0.683077i
$835$	−5.58062	−	3.22197i	−0.193125	−	0.111501i
$836$	−21.7040	+	2.44366i	−0.750648	+	0.0845158i
$837$	−1.79280	−	21.1668i	−0.0619683	−	0.731633i
$838$	14.8427	−	20.4292i	0.512733	−	0.705716i
$839$	−15.6005	+	14.0468i	−0.538590	+	0.484949i	−0.892947	−	0.450161i	$-0.851366\pi$
$839$	−15.6005	+	14.0468i	−0.538590	+	0.484949i	0.354357	+	0.935110i	$0.384700\pi$
$840$	24.4540	−	20.2400i	0.843743	−	0.698347i
$841$	−26.4842	−	11.7915i	−0.913247	−	0.406604i
$842$	8.14849	+	3.62794i	0.280816	+	0.125027i
$843$	−3.52463	−	20.8084i	−0.121395	−	0.716680i
$844$	88.8286	−	79.9816i	3.05761	−	2.75308i
$845$	−3.51944	+	4.84410i	−0.121073	+	0.166642i
$846$	16.9287	−	56.1683i	0.582022	−	1.93111i
$847$	−13.6335	+	8.14260i	−0.468451	+	0.279783i
$848$	−3.81836	−	2.20453i	−0.131123	−	0.0757039i
$849$	7.17611	+	25.6781i	0.246284	+	0.881271i
$850$	−31.7944	+	6.75811i	−1.09054	+	0.231801i
$851$	−43.1043	−	38.8113i	−1.47760	−	1.33043i
$852$	−83.4097	−	3.47582i	−2.85757	−	0.119079i
$853$	5.26358	−	0.553224i	0.180222	−	0.0189420i	−0.0139877	−	0.999902i	$-0.504453\pi$
$853$	5.26358	−	0.553224i	0.180222	−	0.0189420i	0.194209	+	0.980960i	$0.437786\pi$
$854$	0.382533	+	1.17732i	0.0130900	+	0.0402869i
$855$	−3.10106	+	4.46642i	−0.106054	+	0.152748i
$856$	67.1135	+	48.7608i	2.29389	+	1.66661i
$857$	3.88021	−	6.72072i	0.132545	−	0.229575i	−0.792112	−	0.610376i	$-0.791018\pi$
$857$	3.88021	−	6.72072i	0.132545	−	0.229575i	0.924657	+	0.380801i	$0.124352\pi$
$858$	46.0406	+	1.57746i	1.57180	+	0.0538537i
$859$	24.3358	+	42.1508i	0.830326	+	1.43817i	0.897780	+	0.440445i	$0.145179\pi$
$859$	24.3358	+	42.1508i	0.830326	+	1.43817i	−0.0674537	+	0.997722i	$0.521488\pi$
$860$	1.69055	−	16.0845i	0.0576473	−	0.548478i
$861$	0.720350	+	11.4059i	0.0245495	+	0.388711i
$862$	−5.60851	−	1.19213i	−0.191027	−	0.0406039i
$863$	−8.87079	−	12.2096i	−0.301965	−	0.415619i	0.630889	−	0.775873i	$-0.282690\pi$
$863$	−8.87079	−	12.2096i	−0.301965	−	0.415619i	−0.932854	+	0.360253i	$0.882690\pi$
$864$	−60.4939	−	69.9808i	−2.05805	−	2.38080i
$865$	−14.3805	+	4.67250i	−0.488951	+	0.158870i
$866$	27.7701	+	30.8418i	0.943667	+	1.04805i
$867$	−0.100700	+	0.392592i	−0.00341995	+	0.0133331i
$868$	−26.8693	+	15.5130i	−0.912002	+	0.526545i
$869$	−0.245878	−	33.2329i	−0.00834084	−	1.12735i
$870$	−0.0958604	+	0.650247i	−0.00324997	+	0.0220454i
$871$	−4.16099	−	9.34573i	−0.140990	−	0.316668i
$872$	−34.3238	−	11.1525i	−1.16235	−	0.377671i
$873$	15.4971	−	9.39556i	0.524497	−	0.317991i
$874$	15.8547	−	11.5191i	0.536294	−	0.389640i
$875$	1.72628	+	16.4245i	0.0583589	+	0.555248i
$876$	22.5157	−	60.5874i	0.760734	−	2.04706i
$877$	−4.60549	−	21.6671i	−0.155516	−	0.731646i	−0.984922	−	0.172999i	$-0.944654\pi$
$877$	−4.60549	−	21.6671i	−0.155516	−	0.731646i	0.829406	−	0.558647i	$-0.188679\pi$
$878$	95.9272	+	10.0824i	3.23739	+	0.340263i
$879$	−29.2752	+	36.9543i	−0.987426	+	1.24644i
$880$	−47.1077	−	41.7890i	−1.58800	−	1.40871i
$881$		−	18.8235i		−	0.634180i	−0.948395	−	0.317090i	$-0.897294\pi$
$881$		−	18.8235i		−	0.634180i	0.948395	−	0.317090i	$-0.102706\pi$
$882$	−39.4132	+	4.99830i	−1.32711	+	0.168301i
$883$	−11.7223	+	36.0776i	−0.394488	+	1.21411i	0.534872	+	0.844933i	$0.320360\pi$
$883$	−11.7223	+	36.0776i	−0.394488	+	1.21411i	−0.929360	+	0.369175i	$0.879640\pi$
$884$	13.5074	−	63.5475i	0.454304	−	2.13733i
$885$	6.72121	−	3.51582i	0.225931	−	0.118183i
$886$	13.1458	−	29.5260i	0.441643	−	0.991947i
$887$	−19.4805	+	21.6352i	−0.654090	+	0.726440i	−0.975378	−	0.220541i	$-0.929218\pi$
$887$	−19.4805	+	21.6352i	−0.654090	+	0.726440i	0.321288	+	0.946982i	$0.395884\pi$
$888$	−151.483	+	9.56704i	−5.08343	+	0.321049i
$889$	0.135716	−	0.0604246i	0.00455176	−	0.00202658i
$890$	19.9403			0.668401
$891$	29.4722	+	4.73176i	0.987356	+	0.158520i
$892$	−119.589			−4.00414
$893$	8.30685	−	3.69845i	0.277978	−	0.123764i
$894$	−53.3280	+	3.36798i	−1.78356	+	0.112642i
$895$	−9.75416	+	10.8331i	−0.326046	+	0.362110i
$896$	−13.4383	+	30.1829i	−0.448942	+	1.00834i
$897$	−26.5328	+	13.8791i	−0.885903	+	0.463410i
$898$	14.3016	−	67.2838i	0.477251	−	2.24529i
$899$	0.122993	−	0.378534i	0.00410205	−	0.0126248i
$900$	45.4749	−	5.76703i	1.51583	−	0.192234i
$901$		−	1.39484i		−	0.0464688i
$902$	39.8806	−	8.78575i	1.32788	−	0.292534i
$903$	3.30140	−	4.16738i	0.109864	−	0.138682i
$904$	−176.463	−	18.5470i	−5.86906	−	0.616863i
$905$	−4.66411	−	21.9429i	−0.155040	−	0.729407i
$906$	−1.72777	+	4.64925i	−0.0574013	+	0.154461i
$907$	1.93945	+	18.4526i	0.0643984	+	0.612710i	0.978360	+	0.206910i	$0.0663406\pi$
$907$	1.93945	+	18.4526i	0.0643984	+	0.612710i	−0.913962	+	0.405801i	$0.866993\pi$
$908$	34.5673	−	25.1146i	1.14716	−	0.833458i
$909$	−29.8666	+	18.1075i	−0.990613	+	0.600588i
$910$	−15.9308	−	5.17622i	−0.528100	−	0.171590i
$911$	13.5116	+	30.3475i	0.447658	+	1.00546i	0.986607	+	0.163118i	$0.0521550\pi$
$911$	13.5116	+	30.3475i	0.447658	+	1.00546i	−0.538949	+	0.842339i	$0.681178\pi$
$912$	4.15245	−	28.1672i	0.137501	−	0.932710i
$913$	−5.97348	+	18.8581i	−0.197693	+	0.624112i
$914$	2.37949	−	1.37380i	0.0787064	−	0.0454411i
$915$	0.198197	−	0.772696i	0.00655217	−	0.0255445i
$916$	47.8173	+	53.1065i	1.57993	+	1.75469i
$917$	21.0963	−	6.85459i	0.696660	−	0.226359i
$918$	19.0710	−	54.8920i	0.629438	−	1.81171i
$919$	−10.8277	−	14.9031i	−0.357173	−	0.491606i	0.592185	−	0.805802i	$-0.298265\pi$
$919$	−10.8277	−	14.9031i	−0.357173	−	0.491606i	−0.949358	+	0.314195i	$0.898265\pi$
$920$	72.1153	+	15.3286i	2.37757	+	0.505369i
$921$	−3.39301	−	53.7242i	−0.111803	−	1.77027i
$922$	1.27392	−	12.1205i	0.0419543	−	0.399168i
$923$	13.6464	+	23.6363i	0.449178	+	0.777999i
$924$	−12.0445	−	41.9001i	−0.396235	−	1.37841i
$925$	14.5146	−	25.1401i	0.477238	−	0.826600i
$926$	−18.4200	−	13.3829i	−0.605320	−	0.439791i
$927$	−5.73151	+	8.25503i	−0.188247	+	0.271131i
$928$	−0.535586	−	1.64836i	−0.0175815	−	0.0541102i
$929$	29.1247	−	3.06113i	0.955551	−	0.100432i	0.386099	−	0.922457i	$-0.373822\pi$
$929$	29.1247	−	3.06113i	0.955551	−	0.100432i	0.569452	+	0.822025i	$0.307156\pi$
$930$	27.5756	+	1.14912i	0.904239	+	0.0376811i
$931$	−4.57631	−	4.12052i	−0.149982	−	0.135045i
$932$	−26.0063	+	5.52781i	−0.851865	+	0.181070i
$933$	2.66399	+	9.53249i	0.0872151	+	0.312080i
$934$	14.4710	+	8.35483i	0.473505	+	0.273378i
$935$	3.99765	−	19.5164i	0.130737	−	0.638253i
$936$	−22.6119	+	75.0247i	−0.739095	+	2.45226i
$937$	−9.28756	+	12.7832i	−0.303411	+	0.417610i	−0.933312	−	0.359066i	$-0.883095\pi$
$937$	−9.28756	+	12.7832i	−0.303411	+	0.417610i	0.629901	+	0.776675i	$0.283095\pi$
$938$	−9.93196	+	8.94277i	−0.324290	+	0.291992i
$939$	−7.64591	−	45.1394i	−0.249515	−	1.47307i
$940$	50.4402	+	22.4574i	1.64518	+	0.732480i
$941$	−7.56700	−	3.36905i	−0.246677	−	0.109828i	0.279674	−	0.960095i	$-0.409774\pi$
$941$	−7.56700	−	3.36905i	−0.246677	−	0.109828i	−0.526351	+	0.850267i	$0.676440\pi$
$942$	0.306930	−	0.254039i	0.0100003	−	0.00827704i
$943$	−19.7258	+	17.7611i	−0.642359	+	0.578383i
$944$	−23.3457	+	32.1326i	−0.759839	+	1.04583i
$945$	−9.82395	−	4.61415i	−0.319573	−	0.150098i
$946$	−16.5220	−	9.37671i	−0.537178	−	0.304863i
$947$	−4.25424	−	2.45619i	−0.138244	−	0.0798154i	0.429283	−	0.903170i	$-0.358766\pi$
$947$	−4.25424	−	2.45619i	−0.138244	−	0.0798154i	−0.567527	+	0.823355i	$0.692100\pi$
$948$	88.3793	+	22.6693i	2.87043	+	0.736265i
$949$	−20.6697	+	4.39347i	−0.670966	+	0.142618i
$950$	7.28892	+	6.56297i	0.236484	+	0.212931i
$951$	1.58947	+	3.03860i	0.0515422	+	0.0985335i
$952$	−52.2960	+	5.49653i	−1.69492	+	0.178144i
$953$	−1.81366	−	5.58186i	−0.0587501	−	0.180814i	0.917375	−	0.398025i	$-0.130304\pi$
$953$	−1.81366	−	5.58186i	−0.0587501	−	0.180814i	−0.976125	+	0.217211i	$0.930304\pi$
$954$	−0.225917	+	2.70597i	−0.00731433	+	0.0876091i
$955$	4.34837	+	3.15927i	0.140710	+	0.102232i
$956$	53.0067	−	91.8103i	1.71436	−	2.96936i
$957$	0.474491	+	0.296061i	0.0153381	+	0.00957030i
$958$	30.0453	+	52.0401i	0.970721	+	1.68134i
$959$	0.561877	−	5.34590i	0.0181439	−	0.172628i
$960$	45.3144	−	30.1225i	1.46252	−	0.972200i
$961$	13.9749	+	2.97045i	0.450802	+	0.0958210i
$962$	47.0782	+	64.7976i	1.51786	+	2.08916i
$963$	5.30151	−	27.8642i	0.170839	−	0.897913i
$964$	141.498	−	45.9756i	4.55735	−	1.48077i
$965$	24.1432	+	26.8137i	0.777197	+	0.863165i
$966$	27.9557	+	27.3630i	0.899458	+	0.880391i
$967$	15.1909	−	8.77049i	0.488507	−	0.282040i	−0.235448	−	0.971887i	$-0.575656\pi$
$967$	15.1909	−	8.77049i	0.488507	−	0.282040i	0.723955	+	0.689847i	$0.242322\pi$
$968$	−87.5808	+	40.5567i	−2.81495	+	1.30354i
$969$	8.37389	−	3.31779i	0.269008	−	0.106583i
$970$	9.57706	+	21.5104i	0.307501	+	0.690658i
$971$	−46.6836	−	15.1684i	−1.49815	−	0.486778i	−0.558672	−	0.829389i	$-0.688689\pi$
$971$	−46.6836	−	15.1684i	−1.49815	−	0.486778i	−0.939478	+	0.342610i	$0.888689\pi$
$972$	−33.2418	+	74.9044i	−1.06623	+	2.40256i
$973$	19.8735	−	14.4390i	0.637117	−	0.462892i
$974$	9.59448	+	91.2854i	0.307427	+	2.92497i
$975$	−9.55536	−	11.5448i	−0.306017	−	0.369729i
$976$	0.868449	+	4.08573i	0.0277984	+	0.130781i
$977$	12.4796	+	1.31166i	0.399258	+	0.0419637i	0.302030	−	0.953298i	$-0.402336\pi$
$977$	12.4796	+	1.31166i	0.399258	+	0.0419637i	0.0972278	+	0.995262i	$0.469002\pi$
$978$	−13.5239	−	1.99371i	−0.432447	−	0.0637520i
$979$	6.78637	−	15.5511i	0.216893	−	0.497014i
$980$		−	37.3923i		−	1.19445i
$981$	1.55247	+	12.2417i	0.0495664	+	0.390848i
$982$	−15.6708	+	48.2298i	−0.500076	+	1.53908i
$983$	4.38228	−	20.6170i	0.139773	−	0.657580i	−0.851346	−	0.524604i	$-0.824213\pi$
$983$	4.38228	−	20.6170i	0.139773	−	0.657580i	0.991119	−	0.132976i	$-0.0424532\pi$
$984$	−2.89204	+	69.4007i	−0.0921949	+	2.21241i
$985$	−11.3118	+	25.4067i	−0.360424	+	0.809526i
$986$	0.728544	−	0.809130i	0.0232016	−	0.0257680i
$987$	10.0479	+	15.1155i	0.319829	+	0.481131i
$988$	−17.9088	+	7.97353i	−0.569756	+	0.253672i
$989$	12.3481			0.392648
$990$	−10.9164	+	37.2141i	−0.346946	+	1.18274i
$991$	60.3045			1.91564			0.957818	−	0.287375i	$-0.0927826\pi$
$991$	60.3045			1.91564			0.957818	+	0.287375i	$0.0927826\pi$
$992$	−66.4861	+	29.6015i	−2.11094	+	0.939849i
$993$	−3.13843	+	6.32615i	−0.0995952	+	0.200754i
$994$	23.8582	−	26.4973i	0.756737	−	0.840442i
$995$	−15.3085	+	34.3834i	−0.485311	+	1.09003i
$996$	−45.8611	−	29.0889i	−1.45316	−	0.921716i
$997$	−11.6859	+	54.9777i	−0.370096	+	1.74116i	0.260890	+	0.965368i	$0.415984\pi$
$997$	−11.6859	+	54.9777i	−0.370096	+	1.74116i	−0.630986	+	0.775794i	$0.717349\pi$
$998$	−6.32493	+	19.4661i	−0.200212	+	0.616190i
$999$	25.0345	+	45.4599i	0.792056	+	1.43829i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.29.1	✓	80
3.2	odd	2		297.2.t.a.62.10		80
9.2	odd	6		891.2.k.a.161.1		80
9.4	even	3		297.2.t.a.260.10		80
9.5	odd	6	inner	99.2.p.a.95.1	yes	80
9.7	even	3		891.2.k.a.161.20		80
11.8	odd	10	inner	99.2.p.a.74.1	yes	80
33.8	even	10		297.2.t.a.8.10		80
99.41	even	30	inner	99.2.p.a.41.1	yes	80
99.52	odd	30		891.2.k.a.404.1		80
99.74	even	30		891.2.k.a.404.20		80
99.85	odd	30		297.2.t.a.206.10		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.29.1	✓	80	1.1	even	1	trivial
99.2.p.a.41.1	yes	80	99.41	even	30	inner
99.2.p.a.74.1	yes	80	11.8	odd	10	inner
99.2.p.a.95.1	yes	80	9.5	odd	6	inner
297.2.t.a.8.10		80	33.8	even	10
297.2.t.a.62.10		80	3.2	odd	2
297.2.t.a.206.10		80	99.85	odd	30
297.2.t.a.260.10		80	9.4	even	3
891.2.k.a.161.1		80	9.2	odd	6
891.2.k.a.161.20		80	9.7	even	3
891.2.k.a.404.1		80	99.52	odd	30
891.2.k.a.404.20		80	99.74	even	30

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.p (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.46099 + 1.09570i) q^{2} +(-1.72861 + 0.109172i) q^{3} +(3.51765 - 3.90675i) q^{4} +(0.588502 - 1.32180i) q^{5} +(4.13447 - 2.16271i) q^{6} +(-0.300148 + 1.41209i) q^{7} +(-2.71136 + 8.34470i) q^{8} +(2.97616 - 0.377431i) q^{9} +O(q^{10})\)	\(q+(-2.46099 + 1.09570i) q^{2} +(-1.72861 + 0.109172i) q^{3} +(3.51765 - 3.90675i) q^{4} +(0.588502 - 1.32180i) q^{5} +(4.13447 - 2.16271i) q^{6} +(-0.300148 + 1.41209i) q^{7} +(-2.71136 + 8.34470i) q^{8} +(2.97616 - 0.377431i) q^{9} +3.89775i q^{10} +(3.03979 + 1.32654i) q^{11} +(-5.65413 + 7.13726i) q^{12} +(2.96055 + 0.311167i) q^{13} +(-0.808567 - 3.80401i) q^{14} +(-0.872985 + 2.34911i) q^{15} +(-1.37167 - 13.0506i) q^{16} +(3.35854 - 2.44012i) q^{17} +(-6.91076 + 4.18985i) q^{18} +(-1.19136 - 0.387096i) q^{19} +(-3.09378 - 6.94875i) q^{20} +(0.364678 - 2.47371i) q^{21} +(-8.93438 + 0.0661021i) q^{22} +(5.02939 - 2.90372i) q^{23} +(3.77586 - 14.7207i) q^{24} +(1.94484 + 2.15996i) q^{25} +(-7.62685 + 2.47811i) q^{26} +(-5.10341 + 0.977342i) q^{27} +(4.46085 + 6.13983i) q^{28} +(-0.0952306 - 0.0202419i) q^{29} +(-0.425525 - 6.73769i) q^{30} +(-0.427327 + 4.06575i) q^{31} +(8.90112 + 15.4172i) q^{32} +(-5.39941 - 1.96121i) q^{33} +(-5.59169 + 9.68509i) q^{34} +(1.68985 + 1.22775i) q^{35} +(8.99458 - 12.9548i) q^{36} +(-3.08635 - 9.49880i) q^{37} +(3.35607 - 0.352737i) q^{38} +(-5.15161 - 0.214676i) q^{39} +(9.43436 + 8.49473i) q^{40} +(-4.47075 + 0.950287i) q^{41} +(1.81298 + 6.48736i) q^{42} +(1.84140 + 1.06313i) q^{43} +(15.8754 - 7.20937i) q^{44} +(1.25259 - 4.15600i) q^{45} +(-9.19566 + 12.6567i) q^{46} +(-5.39440 + 4.85714i) q^{47} +(3.79584 + 22.4096i) q^{48} +(4.49092 + 1.99949i) q^{49} +(-7.15292 - 3.18469i) q^{50} +(-5.53920 + 4.58467i) q^{51} +(11.6299 - 10.4716i) q^{52} +(0.197492 - 0.271824i) q^{53} +(11.4886 - 7.99706i) q^{54} +(3.54233 - 3.23731i) q^{55} +(-10.9696 - 6.33332i) q^{56} +(2.10165 + 0.539074i) q^{57} +(0.256541 - 0.0545294i) q^{58} +(-2.24930 - 2.02528i) q^{59} +(6.10654 + 11.6739i) q^{60} +(-0.316566 + 0.0332724i) q^{61} +(-3.40321 - 10.4740i) q^{62} +(-0.360325 + 4.31588i) q^{63} +(-17.5657 - 12.7622i) q^{64} +(2.15359 - 3.73013i) q^{65} +(15.4368 - 1.08965i) q^{66} +(-1.71828 - 2.97615i) q^{67} +(2.28123 - 21.7045i) q^{68} +(-8.37683 + 5.56845i) q^{69} +(-5.50397 - 1.16990i) q^{70} +(5.38901 + 7.41734i) q^{71} +(-4.91990 + 25.8585i) q^{72} +(-6.75113 + 2.19358i) q^{73} +(18.0034 + 19.9948i) q^{74} +(-3.59767 - 3.52141i) q^{75} +(-5.70308 + 3.29267i) q^{76} +(-2.78557 + 3.89428i) q^{77} +(12.9133 - 5.11632i) q^{78} +(-4.07566 - 9.15408i) q^{79} +(-18.0574 - 5.86722i) q^{80} +(8.71509 - 2.24659i) q^{81} +(9.96124 - 7.23727i) q^{82} +(0.623446 + 5.93169i) q^{83} +(-8.38135 - 10.1264i) q^{84} +(-1.24884 - 5.87533i) q^{85} +(-5.69655 - 0.598731i) q^{86} +(0.166826 + 0.0245938i) q^{87} +(-19.3115 + 21.7694i) q^{88} -5.11584i q^{89} +(1.47113 + 11.6004i) q^{90} +(-1.32800 + 4.08716i) q^{91} +(6.34754 - 29.8628i) q^{92} +(0.294816 - 7.07473i) q^{93} +(7.95359 - 17.8641i) q^{94} +(-1.21278 + 1.34693i) q^{95} +(-17.0697 - 25.6785i) q^{96} +(5.51867 - 2.45707i) q^{97} -13.2430 q^{98} +(9.54757 + 2.80069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9}+O(q^{10}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27} - 20 q^{28} + 30 q^{29} + 50 q^{30} - 6 q^{31} + 4 q^{33} - 10 q^{34} - 17 q^{36} - 6 q^{37} + 9 q^{38} + 85 q^{39} + 15 q^{40} - 15 q^{41} + 19 q^{42} - 12 q^{45} - 40 q^{46} - 21 q^{47} + 70 q^{48} - q^{49} + 60 q^{50} - 45 q^{51} - 5 q^{52} - 18 q^{55} + 90 q^{56} + 60 q^{57} - 29 q^{58} + 81 q^{59} + 43 q^{60} - 5 q^{61} + 15 q^{63} - 8 q^{64} - 39 q^{66} + 10 q^{67} + 180 q^{68} - 20 q^{69} + 30 q^{70} + 5 q^{72} - 20 q^{73} - 15 q^{74} - 30 q^{75} + 33 q^{77} + 152 q^{78} - 5 q^{79} - 73 q^{81} - 2 q^{82} - 60 q^{83} - 135 q^{84} - 5 q^{85} - 48 q^{86} - 59 q^{88} - 70 q^{90} + 52 q^{91} - 213 q^{92} - 34 q^{93} - 5 q^{94} - 135 q^{95} - 145 q^{96} + 27 q^{97} + 35 q^{99}+O(q^{100}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Introduction

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