LMFDB - Embedded newform 197.3.i.a.2.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,3,Mod(2,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(196))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("197.2");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	197.i (of order $196$, degree $84$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$5.36786120790$
Analytic rank:	$0$
Dimension:	$2688$
Relative dimension:	$32$ over $\Q(\zeta_{196})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{196}]$

Embedding invariants

Embedding label			2.17
Character	$\chi$	$=$	197.2
Dual form			197.3.i.a.99.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0441796 + 0.000708195i) q^{2} +(-4.54280 + 1.11376i) q^{3} +(-3.99599 - 0.128144i) q^{4} +(-0.843380 - 5.80577i) q^{5} +(-0.201488 + 0.0459883i) q^{6} +(-5.49223 + 5.67118i) q^{7} +(-0.352988 - 0.0169867i) q^{8} +(11.4172 - 5.95634i) q^{9} +(-0.0331486 - 0.257094i) q^{10} +(14.6796 + 7.36145i) q^{11} +(18.2957 - 3.86845i) q^{12} +(-15.1654 - 6.42460i) q^{13} +(-0.246661 + 0.246661i) q^{14} +(10.2975 + 25.4351i) q^{15} +(15.9438 + 1.02362i) q^{16} +(19.5848 - 13.2000i) q^{17} +(0.508626 - 0.255063i) q^{18} +(-1.86349 + 1.48609i) q^{19} +(2.62617 + 23.3079i) q^{20} +(18.6338 - 31.8801i) q^{21} +(0.643325 + 0.335622i) q^{22} +(-10.7196 + 29.1285i) q^{23} +(1.62247 - 0.315976i) q^{24} +(-9.02897 + 2.67975i) q^{25} +(-0.665454 - 0.294577i) q^{26} +(-13.6197 + 11.9764i) q^{27} +(22.6736 - 21.9582i) q^{28} +(30.1481 + 19.6242i) q^{29} +(0.436929 + 1.13101i) q^{30} +(-5.63163 + 6.83419i) q^{31} +(2.11271 + 0.169682i) q^{32} +(-74.8853 - 17.0921i) q^{33} +(0.874597 - 0.569299i) q^{34} +(37.5576 + 27.1036i) q^{35} +(-46.3863 + 22.3385i) q^{36} +(5.67117 - 0.364101i) q^{37} +(-0.0833809 + 0.0643350i) q^{38} +(76.0490 + 12.2950i) q^{39} +(0.199082 + 2.06369i) q^{40} +(4.51023 - 23.1591i) q^{41} +(0.845810 - 1.39525i) q^{42} +(-16.9182 - 50.9550i) q^{43} +(-57.7161 - 31.2974i) q^{44} +(-44.2102 - 61.2621i) q^{45} +(-0.494215 + 1.27930i) q^{46} +(-42.1937 - 74.9193i) q^{47} +(-73.5694 + 13.1074i) q^{48} +(-0.427144 - 13.3199i) q^{49} +(-0.400794 + 0.111996i) q^{50} +(-74.2682 + 81.7776i) q^{51} +(59.7777 + 27.6160i) q^{52} +(4.51228 + 10.1933i) q^{53} +(-0.610196 + 0.519467i) q^{54} +(30.3584 - 91.4347i) q^{55} +(2.03502 - 1.90856i) q^{56} +(6.81034 - 8.82648i) q^{57} +(1.31803 + 0.888342i) q^{58} +(54.6341 + 7.04428i) q^{59} +(-37.8896 - 102.958i) q^{60} +(43.8962 + 72.4114i) q^{61} +(-0.253643 + 0.297944i) q^{62} +(-28.9264 + 97.4625i) q^{63} +(-63.5178 - 6.12748i) q^{64} +(-24.5095 + 93.4654i) q^{65} +(-3.29630 - 0.808155i) q^{66} +(105.995 + 29.6189i) q^{67} +(-79.9522 + 50.2373i) q^{68} +(16.2547 - 144.264i) q^{69} +(1.64008 + 1.22403i) q^{70} +(102.951 + 32.3595i) q^{71} +(-4.13131 + 1.90857i) q^{72} +(37.0125 + 32.5466i) q^{73} +(0.250808 - 0.0120696i) q^{74} +(38.0322 - 22.2297i) q^{75} +(7.63694 - 5.69960i) q^{76} +(-122.372 + 42.8197i) q^{77} +(3.35111 + 0.597047i) q^{78} +(-17.9192 + 123.355i) q^{79} +(-7.50372 - 93.4290i) q^{80} +(-17.7741 + 25.4805i) q^{81} +(0.215661 - 1.01997i) q^{82} +(51.1704 + 40.8070i) q^{83} +(-78.5456 + 125.005i) q^{84} +(-93.1533 - 102.572i) q^{85} +(-0.711355 - 2.26315i) q^{86} +(-158.814 - 55.5713i) q^{87} +(-5.05666 - 2.84786i) q^{88} +(-6.62079 - 8.03458i) q^{89} +(-1.90980 - 2.73785i) q^{90} +(119.727 - 50.7205i) q^{91} +(46.5680 - 115.024i) q^{92} +(17.9717 - 37.3186i) q^{93} +(-1.81105 - 3.33979i) q^{94} +(10.1995 + 9.56567i) q^{95} +(-9.78661 + 1.58222i) q^{96} +(27.7060 + 105.655i) q^{97} +(-0.00943797 - 0.588772i) q^{98} +(211.447 - 3.38947i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 2688 q - 84 q^{2} - 84 q^{3} - 84 q^{4} - 84 q^{5} - 98 q^{6} - 84 q^{7} - 140 q^{8} - 84 q^{9} - 84 q^{10} - 140 q^{11} - 140 q^{12} - 84 q^{13} - 28 q^{14} - 84 q^{15} + 112 q^{16} - 84 q^{17} - 210 q^{18}+ \cdots + 630 q^{99}+O(q^{100}) $ 2688 * q - 84 * q^2 - 84 * q^3 - 84 * q^4 - 84 * q^5 - 98 * q^6 - 84 * q^7 - 140 * q^8 - 84 * q^9 - 84 * q^10 - 140 * q^11 - 140 * q^12 - 84 * q^13 - 28 * q^14 - 84 * q^15 + 112 * q^16 - 84 * q^17 - 210 * q^18 - 98 * q^19 - 84 * q^20 - 84 * q^21 - 84 * q^22 - 84 * q^23 - 308 * q^24 - 84 * q^25 + 70 * q^26 - 126 * q^27 - 910 * q^28 - 294 * q^29 + 70 * q^30 - 84 * q^31 - 84 * q^32 - 98 * q^33 - 84 * q^34 - 84 * q^35 + 2198 * q^36 + 126 * q^37 - 140 * q^38 - 84 * q^39 + 476 * q^40 + 28 * q^41 - 588 * q^42 - 84 * q^43 - 84 * q^44 - 966 * q^45 - 448 * q^46 + 266 * q^47 - 1428 * q^48 + 756 * q^49 - 84 * q^50 - 84 * q^51 + 126 * q^52 - 84 * q^53 - 588 * q^54 - 84 * q^55 - 84 * q^56 - 672 * q^57 + 532 * q^58 + 616 * q^59 - 378 * q^60 - 364 * q^61 - 854 * q^62 + 1036 * q^63 - 1428 * q^64 + 28 * q^65 + 406 * q^66 - 84 * q^67 - 966 * q^68 - 504 * q^69 - 84 * q^70 + 434 * q^71 - 532 * q^72 - 84 * q^73 + 546 * q^74 - 84 * q^75 - 308 * q^76 + 700 * q^77 + 2310 * q^78 - 1400 * q^79 - 84 * q^80 - 700 * q^81 - 84 * q^82 - 98 * q^83 - 588 * q^84 + 1666 * q^85 - 84 * q^86 - 84 * q^87 + 420 * q^88 + 868 * q^89 - 1890 * q^90 + 1260 * q^91 + 924 * q^92 - 98 * q^93 - 420 * q^94 - 1834 * q^95 + 364 * q^96 + 504 * q^97 - 980 * q^98 + 630 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{196}\right)$

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 $

$2$	0.0441796		0.000708195i	0.0220898		0.000354098i	0.0270718	−	0.999633i	$-0.491382\pi$
$2$	0.0441796		0.000708195i	0.0220898		0.000354098i	−0.00498196	+	0.999988i	$0.501586\pi$
$3$	−4.54280	+	1.11376i	−1.51427	+	0.371254i	−0.906275	−	0.422689i	$-0.861086\pi$
$3$	−4.54280	+	1.11376i	−1.51427	+	0.371254i	−0.607993	+	0.793943i	$0.708025\pi$
$4$	−3.99599	−	0.128144i	−0.998998	−	0.0320359i
$5$	−0.843380	−	5.80577i	−0.168676	−	1.16115i	−0.885752	−	0.464159i	$-0.846357\pi$
$5$	−0.843380	−	5.80577i	−0.168676	−	1.16115i	0.717076	−	0.696995i	$-0.245480\pi$
$6$	−0.201488	+	0.0459883i	−0.0335813	+	0.00766472i
$7$	−5.49223	+	5.67118i	−0.784604	+	0.810168i	−0.985541	−	0.169436i	$-0.945805\pi$
$7$	−5.49223	+	5.67118i	−0.784604	+	0.810168i	0.200937	+	0.979604i	$0.435601\pi$
$8$	−0.352988	−	0.0169867i	−0.0441235	−	0.00212334i
$9$	11.4172	−	5.95634i	1.26858	−	0.661816i
$10$	−0.0331486	−	0.257094i	−0.00331486	−	0.0257094i
$11$	14.6796	+	7.36145i	1.33451	+	0.669223i	0.965548	−	0.260224i	$-0.0837963\pi$
$11$	14.6796	+	7.36145i	1.33451	+	0.669223i	0.368958	+	0.929446i	$0.379715\pi$
$12$	18.2957	−	3.86845i	1.52464	−	0.322371i
$13$	−15.1654	−	6.42460i	−1.16657	−	0.494200i	−0.281458	−	0.959574i	$-0.590818\pi$
$13$	−15.1654	−	6.42460i	−1.16657	−	0.494200i	−0.885114	+	0.465374i	$0.845920\pi$
$14$	−0.246661	+	0.246661i	−0.0176186	+	0.0176186i
$15$	10.2975	+	25.4351i	0.686503	+	1.69568i
$16$	15.9438	+	1.02362i	0.996484	+	0.0639764i
$17$	19.5848	−	13.2000i	1.15205	−	0.776468i	0.173977	−	0.984750i	$-0.444338\pi$
$17$	19.5848	−	13.2000i	1.15205	−	0.776468i	0.978069	+	0.208282i	$0.0667870\pi$
$18$	0.508626	−	0.255063i	0.0282570	−	0.0141702i
$19$	−1.86349	+	1.48609i	−0.0980786	+	0.0782151i	−0.671301	−	0.741184i	$-0.734264\pi$
$19$	−1.86349	+	1.48609i	−0.0980786	+	0.0782151i	0.573223	+	0.819400i	$0.305693\pi$
$20$	2.62617	+	23.3079i	0.131308	+	1.16539i
$21$	18.6338	−	31.8801i	0.887322	−	1.51810i
$22$	0.643325	+	0.335622i	0.0292420	+	0.0152555i
$23$	−10.7196	+	29.1285i	−0.466068	+	1.26646i	0.459601	+	0.888125i	$0.347992\pi$
$23$	−10.7196	+	29.1285i	−0.466068	+	1.26646i	−0.925670	+	0.378333i	$0.876498\pi$
$24$	1.62247	−	0.315976i	0.0676030	−	0.0131657i
$25$	−9.02897	+	2.67975i	−0.361159	+	0.107190i
$26$	−0.665454	−	0.294577i	−0.0255944	−	0.0113299i
$27$	−13.6197	+	11.9764i	−0.504434	+	0.443570i
$28$	22.6736	−	21.9582i	0.809772	−	0.784221i
$29$	30.1481	+	19.6242i	1.03959	+	0.676698i	0.947730	−	0.319074i	$-0.103372\pi$
$29$	30.1481	+	19.6242i	1.03959	+	0.676698i	0.0918597	+	0.995772i	$0.470719\pi$
$30$	0.436929	+	1.13101i	0.0145643	+	0.0377002i
$31$	−5.63163	+	6.83419i	−0.181665	+	0.220458i	−0.854658	−	0.519192i	$-0.826233\pi$
$31$	−5.63163	+	6.83419i	−0.181665	+	0.220458i	0.672993	+	0.739649i	$0.265009\pi$
$32$	2.11271	+	0.169682i	0.0660222	+	0.00530256i
$33$	−74.8853	−	17.0921i	−2.26925	−	0.517942i
$34$	0.874597	−	0.569299i	0.0257234	−	0.0167441i
$35$	37.5576	+	27.1036i	1.07307	+	0.774390i
$36$	−46.3863	+	22.3385i	−1.28851	+	0.620513i
$37$	5.67117	−	0.364101i	0.153275	−	0.00984058i	0.0127565	−	0.999919i	$-0.495939\pi$
$37$	5.67117	−	0.364101i	0.153275	−	0.00984058i	0.140518	+	0.990078i	$0.455123\pi$
$38$	−0.0833809	+	0.0643350i	−0.00219423	+	0.00169303i
$39$	76.0490	+	12.2950i	1.94998	+	0.315257i
$40$	0.199082	+	2.06369i	0.00497705	+	0.0515923i
$41$	4.51023	−	23.1591i	0.110006	−	0.564855i	−0.885047	−	0.465502i	$-0.845874\pi$
$41$	4.51023	−	23.1591i	0.110006	−	0.564855i	0.995052	−	0.0993531i	$-0.0316773\pi$
$42$	0.845810	−	1.39525i	0.0201383	−	0.0332203i
$43$	−16.9182	−	50.9550i	−0.393447	−	1.18500i	−0.938108	−	0.346343i	$-0.887423\pi$
$43$	−16.9182	−	50.9550i	−0.393447	−	1.18500i	0.544661	−	0.838656i	$-0.316658\pi$
$44$	−57.7161	−	31.2974i	−1.31173	−	0.711304i
$45$	−44.2102	−	61.2621i	−0.982448	−	1.36138i
$46$	−0.494215	+	1.27930i	−0.0107438	+	0.0278108i
$47$	−42.1937	−	74.9193i	−0.897739	−	1.59403i	−0.800957	−	0.598721i	$-0.795676\pi$
$47$	−42.1937	−	74.9193i	−0.897739	−	1.59403i	−0.0967818	−	0.995306i	$-0.530855\pi$
$48$	−73.5694	+	13.1074i	−1.53270	+	0.273071i
$49$	−0.427144	−	13.3199i	−0.00871723	−	0.271835i
$50$	−0.400794	+	0.111996i	−0.00801588	+	0.00223992i
$51$	−74.2682	+	81.7776i	−1.45624	+	1.60348i
$52$	59.7777	+	27.6160i	1.14957	+	0.531077i
$53$	4.51228	+	10.1933i	0.0851373	+	0.192327i	0.951911	−	0.306375i	$-0.0991163\pi$
$53$	4.51228	+	10.1933i	0.0851373	+	0.192327i	−0.866773	+	0.498702i	$0.833810\pi$
$54$	−0.610196	+	0.519467i	−0.0112999	+	0.00961976i
$55$	30.3584	−	91.4347i	0.551971	−	1.66245i
$56$	2.03502	−	1.90856i	0.0363397	−	0.0340814i
$57$	6.81034	−	8.82648i	0.119480	−	0.154851i
$58$	1.31803	+	0.888342i	0.0227247	+	0.0153162i
$59$	54.6341	+	7.04428i	0.926001	+	0.119395i	0.576088	−	0.817388i	$-0.304579\pi$
$59$	54.6341	+	7.04428i	0.926001	+	0.119395i	0.349913	+	0.936782i	$0.386211\pi$
$60$	−37.8896	−	102.958i	−0.631493	−	1.71597i
$61$	43.8962	+	72.4114i	0.719610	+	1.18707i	0.975422	+	0.220346i	$0.0707185\pi$
$61$	43.8962	+	72.4114i	0.719610	+	1.18707i	−0.255812	+	0.966727i	$0.582343\pi$
$62$	−0.253643	+	0.297944i	−0.00409102	+	0.00480554i
$63$	−28.9264	+	97.4625i	−0.459148	+	1.54702i
$64$	−63.5178	−	6.12748i	−0.992465	−	0.0957419i
$65$	−24.5095	+	93.4654i	−0.377069	+	1.43793i
$66$	−3.29630	−	0.808155i	−0.0499439	−	0.0122448i
$67$	105.995	+	29.6189i	1.58202	+	0.442073i	0.944541	−	0.328393i	$-0.106507\pi$
$67$	105.995	+	29.6189i	1.58202	+	0.442073i	0.637481	+	0.770466i	$0.279976\pi$
$68$	−79.9522	+	50.2373i	−1.17577	+	0.738784i
$69$	16.2547	−	144.264i	0.235575	−	2.09079i
$70$	1.64008	+	1.22403i	0.0234298	+	0.0174861i
$71$	102.951	+	32.3595i	1.45001	+	0.455767i	0.919897	−	0.392159i	$-0.128272\pi$
$71$	102.951	+	32.3595i	1.45001	+	0.455767i	0.530113	+	0.847927i	$0.322149\pi$
$72$	−4.13131	+	1.90857i	−0.0573793	+	0.0265080i
$73$	37.0125	+	32.5466i	0.507020	+	0.445844i	0.875095	−	0.483952i	$-0.160799\pi$
$73$	37.0125	+	32.5466i	0.507020	+	0.445844i	−0.368074	+	0.929796i	$0.619983\pi$
$74$	0.250808	−	0.0120696i	0.00338930	−	0.000163102i
$75$	38.0322	−	22.2297i	0.507096	−	0.296396i
$76$	7.63694	−	5.69960i	0.100486	−	0.0749947i
$77$	−122.372	+	42.8197i	−1.58924	+	0.556100i
$78$	3.35111	+	0.597047i	0.0429630	+	0.00765445i
$79$	−17.9192	+	123.355i	−0.226825	+	1.56145i	0.494701	+	0.869063i	$0.335278\pi$
$79$	−17.9192	+	123.355i	−0.226825	+	1.56145i	−0.721527	+	0.692387i	$0.756559\pi$
$80$	−7.50372	−	93.4290i	−0.0937965	−	1.16786i
$81$	−17.7741	+	25.4805i	−0.219433	+	0.314574i
$82$	0.215661	−	1.01997i	0.00263002	−	0.0124386i
$83$	51.1704	+	40.8070i	0.616510	+	0.491651i	0.881238	−	0.472673i	$-0.156711\pi$
$83$	51.1704	+	40.8070i	0.616510	+	0.491651i	−0.264728	+	0.964323i	$0.585282\pi$
$84$	−78.5456	+	125.005i	−0.935067	+	1.48815i
$85$	−93.1533	−	102.572i	−1.09592	−	1.20673i
$86$	−0.711355	−	2.26315i	−0.00827157	−	0.0263157i
$87$	−158.814	−	55.5713i	−1.82544	−	0.638750i
$88$	−5.05666	−	2.84786i	−0.0574621	−	0.0323620i
$89$	−6.62079	−	8.03458i	−0.0743909	−	0.0902762i	0.733221	−	0.679990i	$-0.238016\pi$
$89$	−6.62079	−	8.03458i	−0.0743909	−	0.0902762i	−0.807612	+	0.589714i	$0.799240\pi$
$90$	−1.90980	−	2.73785i	−0.0212200	−	0.0304205i
$91$	119.727	−	50.7205i	1.31568	−	0.557368i
$92$	46.5680	−	115.024i	0.506174	−	1.25026i
$93$	17.9717	−	37.3186i	0.193244	−	0.401276i
$94$	−1.81105	−	3.33979i	−0.0192665	−	0.0355296i
$95$	10.1995	+	9.56567i	0.107363	+	0.100691i
$96$	−9.78661	+	1.58222i	−0.101944	+	0.0164815i
$97$	27.7060	+	105.655i	0.285629	+	1.08923i	0.942224	+	0.334984i	$0.108731\pi$
$97$	27.7060	+	105.655i	0.285629	+	1.08923i	−0.656595	+	0.754243i	$0.728004\pi$
$98$	−0.00943797	−	0.588772i	−9.63058e−5	−	0.00600788i
$99$	211.447	−	3.38947i	2.13583	−	0.0342371i
$100$	36.4231	−	9.55126i	0.364231	−	0.0955126i
$101$	−19.9624	−	123.475i	−0.197648	−	1.22252i	−0.873994	−	0.485938i	$-0.838478\pi$
$101$	−19.9624	−	123.475i	−0.197648	−	1.22252i	0.676346	−	0.736584i	$-0.263563\pi$
$102$	−3.33906	+	3.56031i	−0.0327358	+	0.0349050i
$103$	−20.1760	+	10.9407i	−0.195884	+	0.106221i	−0.571663	−	0.820488i	$-0.693702\pi$
$103$	−20.1760	+	10.9407i	−0.195884	+	0.106221i	0.375779	+	0.926709i	$0.377375\pi$
$104$	5.24408	+	2.52542i	0.0504238	+	0.0242828i
$105$	−200.804	−	81.2964i	−1.91241	−	0.774251i
$106$	0.192132	+	0.453532i	0.00181256	+	0.00427861i
$107$	107.669	−	75.1054i	1.00625	−	0.701919i	0.0513032	−	0.998683i	$-0.483663\pi$
$107$	107.669	−	75.1054i	1.00625	−	0.701919i	0.954951	+	0.296764i	$0.0959074\pi$
$108$	55.9590	−	46.1123i	0.518139	−	0.426966i
$109$	28.3555	−	50.3481i	0.260143	−	0.461910i	−0.710081	−	0.704120i	$-0.751342\pi$
$109$	28.3555	−	50.3481i	0.260143	−	0.461910i	0.970224	+	0.242210i	$0.0778724\pi$
$110$	1.40598	−	4.01805i	0.0127816	−	0.0365277i
$111$	−25.3575	+	7.97037i	−0.228446	+	0.0718051i
$112$	−93.3718	+	84.7978i	−0.833677	+	0.757123i
$113$	−28.5310	−	17.9272i	−0.252486	−	0.158648i	0.399842	−	0.916584i	$-0.369065\pi$
$113$	−28.5310	−	17.9272i	−0.252486	−	0.158648i	−0.652329	+	0.757936i	$0.726208\pi$
$114$	0.307129	−	0.385128i	0.00269411	−	0.00337831i
$115$	178.154	+	37.6689i	1.54917	+	0.327556i
$116$	−117.957	−	82.2816i	−1.01687	−	0.709324i
$117$	−211.414	+	16.9796i	−1.80696	+	0.145125i
$118$	2.40872	+	0.349905i	0.0204129	+	0.00296530i
$119$	−32.7048	+	183.566i	−0.274830	+	1.54257i
$120$	−3.20285	−	9.15321i	−0.0266904	−	0.0762768i
$121$	88.9275	+	119.155i	0.734938	+	0.984750i
$122$	1.88804	+	3.23020i	0.0154757	+	0.0264770i
$123$	5.30458	+	110.230i	0.0431267	+	0.896182i
$124$	23.3797	−	26.5877i	0.188546	−	0.214417i
$125$	−38.3377	−	82.9859i	−0.306702	−	0.663887i
$126$	−1.34698	+	4.28537i	−0.0106903	+	0.0340109i
$127$	66.2407	−	88.7565i	0.521580	−	0.698870i	−0.460430	−	0.887696i	$-0.652305\pi$
$127$	66.2407	−	88.7565i	0.521580	−	0.698870i	0.982011	+	0.188826i	$0.0604682\pi$
$128$	−11.2266	−	1.26493i	−0.0877078	−	0.00988230i
$129$	133.608	+	212.636i	1.03572	+	1.64834i
$130$	−1.14901	+	4.11191i	−0.00883856	+	0.0316301i
$131$	−40.0933	+	163.532i	−0.306055	+	1.24834i	0.591091	+	0.806605i	$0.298697\pi$
$131$	−40.0933	+	163.532i	−0.306055	+	1.24834i	−0.897147	+	0.441733i	$0.854364\pi$
$132$	297.051	+	77.8959i	2.25038	+	0.590120i
$133$	1.80687	−	18.7301i	0.0135855	−	0.140828i
$134$	4.66187	+	1.38362i	0.0347900	+	0.0103255i
$135$	81.0188	+	68.9723i	0.600139	+	0.510906i
$136$	−7.13741	+	4.32674i	−0.0524810	+	0.0318143i
$137$	−17.1882	+	6.32543i	−0.125462	+	0.0461710i	−0.407323	−	0.913284i	$-0.633538\pi$
$137$	−17.1882	+	6.32543i	−0.125462	+	0.0461710i	0.281862	+	0.959455i	$0.409048\pi$
$138$	0.820293	−	6.36203i	0.00594415	−	0.0461016i
$139$	5.19612	−	7.70948i	0.0373821	−	0.0554639i	−0.810082	−	0.586317i	$-0.800577\pi$
$139$	5.19612	−	7.70948i	0.0373821	−	0.0554639i	0.847464	+	0.530853i	$0.178128\pi$
$140$	−146.607	−	113.119i	−1.04719	−	0.807991i
$141$	275.120	+	293.350i	1.95121	+	2.08049i
$142$	4.52541	+	1.50254i	0.0318691	+	0.0105813i
$143$	−175.328	−	205.950i	−1.22607	−	1.44021i
$144$	188.130	−	83.2795i	1.30646	−	0.578330i
$145$	88.5075	−	191.584i	0.610396	−	1.32127i
$146$	1.61215	+	1.46411i	0.0110421	+	0.0100282i
$147$	16.7757	+	60.0341i	0.114120	+	0.408395i
$148$	−22.7086	+	0.728222i	−0.153437	+	0.00492042i
$149$	6.00239	+	33.6903i	0.0402845	+	0.226109i	0.998126	−	0.0611867i	$-0.0194885\pi$
$149$	6.00239	+	33.6903i	0.0402845	+	0.226109i	−0.957842	+	0.287296i	$0.907244\pi$
$150$	1.69599	−	0.955165i	0.0113066	−	0.00636776i
$151$	−142.398	−	55.0109i	−0.943034	−	0.364311i	−0.160582	−	0.987022i	$-0.551337\pi$
$151$	−142.398	−	55.0109i	−0.943034	−	0.364311i	−0.782451	+	0.622712i	$0.786031\pi$
$152$	0.683034	−	0.492915i	0.00449364	−	0.00324286i
$153$	144.980	−	267.360i	0.947581	−	1.74745i
$154$	−5.43666	+	1.80509i	−0.0353030	+	0.0117214i
$155$	44.4273	+	26.9321i	0.286628	+	0.173756i
$156$	−302.316	−	58.8760i	−1.93792	−	0.377410i
$157$	253.241	−	24.4299i	1.61300	−	0.155604i	0.750222	−	0.661186i	$-0.229947\pi$
$157$	253.241	−	24.4299i	1.61300	−	0.155604i	0.862778	+	0.505582i	$0.168722\pi$
$158$	−0.879023	+	5.43707i	−0.00556344	+	0.0344118i
$159$	−31.8513	−	41.2806i	−0.200323	−	0.259626i
$160$	−0.796686	−	12.4090i	−0.00497928	−	0.0775564i
$161$	−106.319	−	220.773i	−0.660365	−	1.37126i
$162$	−0.803299	+	1.11313i	−0.00495864	+	0.00687119i
$163$	−83.5787	−	128.399i	−0.512753	−	0.787726i	0.483396	−	0.875402i	$-0.339403\pi$
$163$	−83.5787	−	128.399i	−0.512753	−	0.787726i	−0.996149	+	0.0876757i	$0.972056\pi$
$164$	−20.9905	+	91.9655i	−0.127991	+	0.560765i
$165$	−36.0759	+	449.182i	−0.218642	+	2.72231i
$166$	2.23179	+	1.83908i	0.0134445	+	0.0110788i
$167$	9.96304	−	3.84890i	0.0596589	−	0.0230473i	−0.330349	−	0.943859i	$-0.607166\pi$
$167$	9.96304	−	3.84890i	0.0596589	−	0.0230473i	0.390007	+	0.920812i	$0.372472\pi$
$168$	−7.11903	+	10.9367i	−0.0423752	+	0.0650996i
$169$	71.1447	+	73.4627i	0.420974	+	0.434691i
$170$	−4.04284	−	4.59757i	−0.0237814	−	0.0270445i
$171$	−12.4242	+	28.0665i	−0.0726563	+	0.164132i
$172$	61.0755	+	205.784i	0.355090	+	1.19642i
$173$	30.6104	+	157.178i	0.176938	+	0.908542i	0.958582	+	0.284816i	$0.0919326\pi$
$173$	30.6104	+	157.178i	0.176938	+	0.908542i	−0.781644	+	0.623725i	$0.785618\pi$
$174$	−6.97697	−	2.56759i	−0.0400975	−	0.0147563i
$175$	34.3918	−	65.9226i	0.196525	−	0.376701i
$176$	226.512	+	132.395i	1.28700	+	0.752247i
$177$	−256.037	+	28.8485i	−1.44654	+	0.162986i
$178$	−0.286814	−	0.359654i	−0.00161132	−	0.00202053i
$179$	26.8761	+	53.5940i	0.150146	+	0.299408i	0.956347	−	0.292234i	$-0.0943985\pi$
$179$	26.8761	+	53.5940i	0.150146	+	0.299408i	−0.806201	+	0.591642i	$0.798480\pi$
$180$	168.813	+	250.468i	0.937851	+	1.39149i
$181$	13.2304	−	206.073i	0.0730959	−	1.13853i	−0.783107	−	0.621887i	$-0.786366\pi$
$181$	13.2304	−	206.073i	0.0730959	−	1.13853i	0.856203	−	0.516640i	$-0.172817\pi$
$182$	5.32542	−	2.15602i	0.0292605	−	0.0118463i
$183$	−280.061	−	280.061i	−1.53039	−	1.53039i
$184$	4.27867	−	10.0999i	0.0232537	−	0.0548909i
$185$	−6.89684	−	32.6184i	−0.0372802	−	0.176316i
$186$	0.820413	−	1.63600i	0.00441082	−	0.00879568i
$187$	384.667	−	49.5973i	2.05704	−	0.265226i
$188$	159.005	+	304.784i	0.845774	+	1.62119i
$189$	6.88236	−	143.017i	0.0364146	−	0.756703i
$190$	0.443836	+	0.429831i	0.00233598	+	0.00226227i
$191$	−7.25564	−	31.7890i	−0.0379877	−	0.166435i	0.952376	−	0.304926i	$-0.0986318\pi$
$191$	−7.25564	−	31.7890i	−0.0379877	−	0.166435i	−0.990364	+	0.138491i	$0.955775\pi$
$192$	295.373	−	42.9077i	1.53840	−	0.223477i
$193$	2.44737	−	76.3179i	0.0126807	−	0.395430i	−0.973395	−	0.229133i	$-0.926411\pi$
$193$	2.44737	−	76.3179i	0.0126807	−	0.395430i	0.986076	−	0.166297i	$-0.0531809\pi$
$194$	1.14922	+	4.68742i	0.00592380	+	0.0241620i
$195$	7.24380	−	451.893i	0.0371477	−	2.31740i
$196$			53.2811i			0.271842i
$197$	−102.650	+	168.143i	−0.521064	+	0.853518i
$197$	−102.650	+	168.143i	−0.521064	+	0.853518i
$198$	9.34404			0.0471921
$199$	46.6627	+	0.747999i	0.234486	+	0.00375879i	0.133160	−	0.991095i	$-0.457487\pi$
$199$	46.6627	+	0.747999i	0.234486	+	0.00375879i	0.101326	+	0.994853i	$0.467692\pi$
$200$	3.23263	−	0.792546i	0.0161632	−	0.00396273i
$201$	−514.505	−	16.4992i	−2.55973	−	0.0820854i
$202$	−0.794489	−	5.46920i	−0.00393311	−	0.0270753i
$203$	−276.873	+	63.1944i	−1.36390	+	0.311302i
$204$	307.255	−	317.266i	1.50615	−	1.55522i
$205$	−138.260	−	6.65345i	−0.674439	−	0.0324558i
$206$	−0.899117	+	0.469069i	−0.00436465	+	0.00227703i
$207$	51.1121	+	396.416i	0.246918	+	1.91505i
$208$	−235.218	−	117.956i	−1.13085	−	0.567096i
$209$	−38.2950	+	8.09710i	−0.183230	+	0.0387421i
$210$	−8.81385	−	3.73385i	−0.0419707	−	0.0177802i
$211$	200.673	−	200.673i	0.951057	−	0.951057i	−0.0477995	−	0.998857i	$-0.515221\pi$
$211$	200.673	−	200.673i	0.951057	−	0.951057i	0.998857	+	0.0477995i	$0.0152209\pi$
$212$	−16.7248	−	41.3106i	−0.0788907	−	0.194861i
$213$	−503.726	−	32.3403i	−2.36491	−	0.151832i
$214$	4.80997	−	3.24188i	0.0224765	−	0.0151490i
$215$	−281.564	+	141.198i	−1.30960	+	0.656734i
$216$	5.01103	−	3.99616i	0.0231992	−	0.0185008i
$217$	−7.82771	−	69.4729i	−0.0360724	−	0.320151i
$218$	1.28839	−	2.20428i	0.00591006	−	0.0101114i
$219$	−204.390	−	106.630i	−0.933286	−	0.486895i
$220$	−133.029	+	361.482i	−0.604676	+	1.64310i
$221$	−381.816	+	74.3587i	−1.72768	+	0.336465i
$222$	−1.12593	+	0.334170i	−0.00507175	+	0.00150527i
$223$	−214.633	−	95.0119i	−0.962482	−	0.426062i	−0.137050	−	0.990564i	$-0.543762\pi$
$223$	−214.633	−	95.0119i	−0.962482	−	0.426062i	−0.825432	+	0.564502i	$0.809068\pi$
$224$	−12.5658	+	11.0496i	−0.0560973	+	0.0493287i
$225$	−87.1239	+	84.3748i	−0.387218	+	0.374999i
$226$	−1.24779	−	0.812222i	−0.00552120	−	0.00359390i
$227$	67.2360	+	174.043i	0.296194	+	0.766709i	0.998496	+	0.0548301i	$0.0174617\pi$
$227$	67.2360	+	174.043i	0.296194	+	0.766709i	−0.702302	+	0.711879i	$0.747844\pi$
$228$	−28.3451	+	34.3979i	−0.124321	+	0.150868i
$229$	297.528	+	23.8959i	1.29925	+	0.104349i	0.710346	−	0.703853i	$-0.248539\pi$
$229$	297.528	+	23.8959i	1.29925	+	0.104349i	0.588905	+	0.808202i	$0.299559\pi$
$230$	7.84411	+	1.79037i	0.0341048	+	0.00778420i
$231$	508.219	−	330.814i	2.20008	−	1.43209i
$232$	−10.3086	−	7.43923i	−0.0444334	−	0.0320656i
$233$	236.995	−	114.131i	1.01714	−	0.489831i	0.150422	−	0.988622i	$-0.451937\pi$
$233$	236.995	−	114.131i	1.01714	−	0.489831i	0.866722	+	0.498791i	$0.166223\pi$
$234$	−9.35221	+	0.600432i	−0.0399667	+	0.00256595i
$235$	−399.379	+	308.153i	−1.69948	+	1.31129i
$236$	−217.415	−	35.1499i	−0.921248	−	0.148940i
$237$	−55.9840	−	580.333i	−0.236220	−	2.44866i
$238$	−1.57489	+	8.08671i	−0.00661717	+	0.0339778i
$239$	23.6778	−	39.0589i	0.0990701	−	0.163427i	−0.801695	−	0.597734i	$-0.796068\pi$
$239$	23.6778	−	39.0589i	0.0990701	−	0.163427i	0.900765	+	0.434307i	$0.143007\pi$
$240$	138.145	+	416.072i	0.575606	+	1.73363i
$241$	−169.490	−	91.9086i	−0.703280	−	0.381363i	0.0852502	−	0.996360i	$-0.472831\pi$
$241$	−169.490	−	91.9086i	−0.703280	−	0.381363i	−0.788530	+	0.614996i	$0.789158\pi$
$242$	3.84440	+	5.32719i	0.0158859	+	0.0220132i
$243$	111.186	−	287.810i	0.457557	−	1.18440i
$244$	−166.130	−	294.981i	−0.680860	−	1.20894i
$245$	−76.9722	+	13.7137i	−0.314172	+	0.0559742i
$246$	0.156290	+	4.87369i	0.000635325	+	0.0198118i
$247$	37.8082	−	10.5649i	0.153070	−	0.0427731i
$248$	2.10399	−	2.31672i	0.00848381	−	0.00934162i
$249$	−277.906	−	128.387i	−1.11609	−	0.515609i
$250$	−1.63498	−	3.69344i	−0.00653990	−	0.0147738i
$251$	−88.0922	+	74.9939i	−0.350965	+	0.298781i	−0.806262	−	0.591559i	$-0.798513\pi$
$251$	−88.0922	+	74.9939i	−0.350965	+	0.298781i	0.455297	+	0.890340i	$0.349533\pi$
$252$	128.079	−	385.753i	0.508249	−	1.53076i
$253$	−371.787	+	348.683i	−1.46951	+	1.37819i
$254$	2.98935	−	3.87432i	0.0117691	−	0.0152532i
$255$	537.418	+	362.215i	2.10752	+	1.42045i
$256$	252.660	+	32.5769i	0.986953	+	0.127253i
$257$	69.7681	+	189.583i	0.271471	+	0.737675i	0.998685	+	0.0512642i	$0.0163251\pi$
$257$	69.7681	+	189.583i	0.271471	+	0.737675i	−0.727214	+	0.686411i	$0.759185\pi$
$258$	5.75216	+	9.48878i	0.0222952	+	0.0367782i
$259$	−29.0825	+	34.1619i	−0.112288	+	0.131899i
$260$	109.917	−	370.346i	0.422757	−	1.42441i
$261$	461.095	+	44.4813i	1.76665	+	0.170426i
$262$	−1.88712	+	7.19640i	−0.00720274	+	0.0274672i
$263$	−336.191	−	82.4241i	−1.27829	−	0.313399i	−0.459855	−	0.887994i	$-0.652098\pi$
$263$	−336.191	−	82.4241i	−1.27829	−	0.313399i	−0.818438	+	0.574595i	$0.805160\pi$
$264$	26.1432	+	7.30535i	0.0990274	+	0.0276718i
$265$	55.3744	−	34.7941i	0.208960	−	0.131298i
$266$	0.0930915	−	0.826210i	0.000349968	−	0.00310605i
$267$	39.0256	+	29.1255i	0.146163	+	0.109084i
$268$	−419.762	−	131.940i	−1.56628	−	0.492312i
$269$	102.044	−	47.1420i	0.379344	−	0.175249i	−0.220459	−	0.975396i	$-0.570756\pi$
$269$	102.044	−	47.1420i	0.379344	−	0.175249i	0.599804	+	0.800147i	$0.295245\pi$
$270$	3.53053	+	3.10455i	0.0130760	+	0.0114983i
$271$	431.673	−	20.7733i	1.59289	−	0.0766541i	0.767436	−	0.641125i	$-0.221532\pi$
$271$	431.673	−	20.7733i	1.59289	−	0.0766541i	0.825453	+	0.564471i	$0.190920\pi$
$272$	325.767	−	190.409i	1.19767	−	0.700035i
$273$	−487.406	+	363.760i	−1.78537	+	1.33246i
$274$	−0.763850	+	0.267283i	−0.00278777	+	0.000975484i
$275$	−152.268	−	27.1287i	−0.553702	−	0.0986498i
$276$	−83.4401	+	574.396i	−0.302319	+	2.08114i
$277$	3.58651	+	44.6557i	0.0129477	+	0.161212i	1.00000		0.000811283i	$0.000258239\pi$
$277$	3.58651	+	44.6557i	0.0129477	+	0.161212i	−0.987052	+	0.160401i	$0.948721\pi$
$278$	0.235022	−	0.336922i	0.000845404	−	0.00121195i
$279$	−23.5906	+	111.571i	−0.0845541	+	0.399897i
$280$	−12.7970	−	10.2052i	−0.0457034	−	0.0364473i
$281$	111.102	−	176.818i	0.395381	−	0.629245i	−0.588410	−	0.808562i	$-0.700246\pi$
$281$	111.102	−	176.818i	0.395381	−	0.629245i	0.983791	+	0.179317i	$0.0573889\pi$
$282$	11.9469	+	13.1549i	0.0423651	+	0.0466486i
$283$	141.360	+	449.733i	0.499506	+	1.58916i	0.777699	+	0.628637i	$0.216387\pi$
$283$	141.360	+	449.733i	0.499506	+	1.58916i	−0.278193	+	0.960525i	$0.589736\pi$
$284$	−407.244	−	142.501i	−1.43396	−	0.501763i
$285$	−56.9882	−	32.0952i	−0.199959	−	0.112615i
$286$	−7.60006	−	9.22296i	−0.0265736	−	0.0322481i
$287$	106.568	+	152.773i	0.371317	+	0.532311i
$288$	25.1319	−	10.6467i	0.0872636	−	0.0369679i
$289$	100.873	−	249.158i	0.349041	−	0.862138i
$290$	4.04591	−	8.40141i	0.0139514	−	0.0289704i
$291$	−243.537	−	449.112i	−0.836898	−	1.54334i
$292$	−143.731	−	134.799i	−0.492230	−	0.461641i
$293$	−56.5567	+	9.14365i	−0.193026	+	0.0312070i	−0.255349	−	0.966849i	$-0.582190\pi$
$293$	−56.5567	+	9.14365i	−0.193026	+	0.0312070i	0.0623221	+	0.998056i	$0.480149\pi$
$294$	0.698626	+	2.66416i	0.00237628	+	0.00906178i
$295$	−5.17980	−	323.134i	−0.0175587	−	1.09537i
$296$	−2.00804	+	0.0321887i	−0.00678392	+	0.000108746i
$297$	−288.095	+	75.5474i	−0.970017	+	0.254369i
$298$	0.241324	+	1.49268i	0.000809813	+	0.00500898i
$299$	349.706	−	372.878i	1.16959	−	1.24708i
$300$	−154.825	+	83.9561i	−0.516083	+	0.279854i
$301$	381.893	+	183.910i	1.26875	+	0.610997i
$302$	−6.25213	−	2.53121i	−0.0207024	−	0.00838149i
$303$	228.207	+	538.688i	0.753157	+	1.77785i
$304$	−31.2323	+	21.7863i	−0.102738	+	0.0716654i
$305$	383.383	−	315.922i	1.25699	−	1.03581i
$306$	6.59450	−	11.7092i	0.0215506	−	0.0382654i
$307$	−147.805	+	422.402i	−0.481449	+	1.37590i	0.405526	+	0.914083i	$0.367088\pi$
$307$	−147.805	+	422.402i	−0.481449	+	1.37590i	−0.886975	+	0.461818i	$0.847197\pi$
$308$	494.483	−	155.426i	1.60546	−	0.504630i
$309$	79.4703	−	72.1728i	0.257185	−	0.233569i
$310$	1.94371	+	1.22131i	0.00627003	+	0.00393972i
$311$	−225.170	+	282.355i	−0.724020	+	0.907893i	−0.998558	−	0.0536837i	$-0.982904\pi$
$311$	−225.170	+	282.355i	−0.724020	+	0.907893i	0.274538	+	0.961576i	$0.411475\pi$
$312$	−26.6355	−	5.63181i	−0.0853703	−	0.0180507i
$313$	−169.637	−	118.331i	−0.541970	−	0.378055i	0.269002	−	0.963140i	$-0.413306\pi$
$313$	−169.637	−	118.331i	−0.541970	−	0.378055i	−0.810972	+	0.585085i	$0.801061\pi$
$314$	11.2054	−	0.899958i	0.0356860	−	0.00286611i
$315$	590.241	+	85.7418i	1.87378	+	0.272196i
$316$	87.4121	−	490.628i	0.276621	−	1.55262i
$317$	159.900	+	456.968i	0.504416	+	1.44154i	0.861640	+	0.507520i	$0.169438\pi$
$317$	159.900	+	456.968i	0.504416	+	1.44154i	−0.357224	+	0.934019i	$0.616277\pi$
$318$	−1.37794	−	1.84632i	−0.00433316	−	0.00580603i
$319$	298.098	+	510.009i	0.934477	+	1.59877i
$320$	17.9949	+	373.937i	0.0562340	+	1.16855i
$321$	−405.470	+	461.106i	−1.26315	+	1.43647i
$322$	−4.54077	−	9.82897i	−0.0141018	−	0.0305247i
$323$	−16.8798	+	53.7027i	−0.0522596	+	0.166262i
$324$	74.2904	−	99.5424i	0.229291	−	0.307230i
$325$	154.145	+	17.3679i	0.474291	+	0.0534397i
$326$	−3.60154	−	5.73182i	−0.0110477	−	0.0175823i
$327$	−72.7379	+	260.303i	−0.222440	+	0.796033i
$328$	−1.98545	+	8.09825i	−0.00605321	+	0.0246898i
$329$	656.618	+	172.185i	1.99580	+	0.523360i
$330$	−1.91193	+	19.8191i	−0.00579372	+	0.0600580i
$331$	−54.6209	−	16.2112i	−0.165018	−	0.0489764i	0.200963	−	0.979599i	$-0.435593\pi$
$331$	−54.6209	−	16.2112i	−0.165018	−	0.0489764i	−0.365981	+	0.930622i	$0.619266\pi$
$332$	−199.247	−	169.622i	−0.600142	−	0.510909i
$333$	62.5802	−	37.9365i	0.187928	−	0.113923i
$334$	0.442889	−	0.162987i	0.00132602	−	0.000487986i
$335$	82.5660	−	640.365i	0.246466	−	1.91154i
$336$	329.725	−	489.214i	0.981325	−	1.45599i
$337$	−271.724	−	209.657i	−0.806301	−	0.622126i	0.122599	−	0.992456i	$-0.460877\pi$
$337$	−271.724	−	209.657i	−0.806301	−	0.622126i	−0.928900	+	0.370330i	$0.879245\pi$
$338$	3.09112	+	3.29594i	0.00914532	+	0.00975130i
$339$	149.577	+	49.6630i	0.441230	+	0.146499i
$340$	359.096	+	421.815i	1.05617	+	1.24063i
$341$	−132.979	+	58.8660i	−0.389969	+	0.172628i
$342$	−0.568774	+	1.23117i	−0.00166308	+	0.00359991i
$343$	−208.485	−	189.340i	−0.607827	−	0.552013i
$344$	5.10637	+	18.2739i	0.0148441	+	0.0531217i
$345$	−851.273	+	27.2987i	−2.46746	+	0.0791266i
$346$	1.24104	+	6.96573i	0.00358683	+	0.0201322i
$347$	−427.873	+	240.974i	−1.23306	+	0.694448i	−0.963287	−	0.268474i	$-0.913481\pi$
$347$	−427.873	+	240.974i	−1.23306	+	0.694448i	−0.269777	+	0.962923i	$0.586950\pi$
$348$	627.497	+	242.413i	1.80315	+	0.696590i
$349$	82.9649	−	59.8721i	0.237722	−	0.171553i	−0.460007	−	0.887915i	$-0.652153\pi$
$349$	82.9649	−	59.8721i	0.237722	−	0.171553i	0.697729	+	0.716362i	$0.254194\pi$
$350$	1.56610	−	2.88808i	0.00447458	−	0.00825166i
$351$	283.492	−	94.1260i	0.807671	−	0.268165i
$352$	29.7646	+	18.0435i	0.0845585	+	0.0512599i
$353$	310.726	+	60.5140i	0.880245	+	0.171428i	0.610987	−	0.791641i	$-0.290773\pi$
$353$	310.726	+	60.5140i	0.880245	+	0.171428i	0.269258	+	0.963068i	$0.413222\pi$
$354$	−11.3321	+	1.09319i	−0.0320115	+	0.00308811i
$355$	101.045	−	625.000i	0.284634	−	1.76056i
$356$	25.4271	+	32.9545i	0.0714244	+	0.0925689i
$357$	−55.8770	−	870.329i	−0.156518	−	2.43790i
$358$	1.14942	+	2.38680i	0.00321067	+	0.00666703i
$359$	−299.392	+	414.868i	−0.833960	+	1.15562i	0.151957	+	0.988387i	$0.451442\pi$
$359$	−299.392	+	414.868i	−0.833960	+	1.15562i	−0.985917	+	0.167233i	$0.946517\pi$
$360$	14.5650	+	22.3758i	0.0404584	+	0.0621549i
$361$	−79.0659	+	346.410i	−0.219019	+	0.959585i
$362$	0.730452	−	9.09488i	0.00201782	−	0.0251240i
$363$	−536.690	−	442.252i	−1.47848	−	1.21833i
$364$	−484.928	+	187.336i	−1.33222	+	0.514661i
$365$	157.743	−	242.335i	0.432172	−	0.663932i
$366$	−12.1746	−	12.5713i	−0.0332641	−	0.0343479i
$367$	−72.3038	−	82.2249i	−0.197013	−	0.224046i	0.644049	−	0.764984i	$-0.277253\pi$
$367$	−72.3038	−	82.2249i	−0.197013	−	0.224046i	−0.841063	+	0.540938i	$0.818069\pi$
$368$	−200.727	+	453.445i	−0.545453	+	1.23219i
$369$	−86.4492	−	291.276i	−0.234280	−	0.789366i
$370$	−0.281600	−	1.44596i	−0.000761080	−	0.00390799i
$371$	−82.5905	−	30.3941i	−0.222616	−	0.0819247i
$372$	−76.5970	+	146.822i	−0.205906	+	0.394683i
$373$	262.387	+	153.364i	0.703451	+	0.411164i	0.812569	−	0.582864i	$-0.198068\pi$
$373$	262.387	+	153.364i	0.703451	+	0.411164i	−0.109119	+	0.994029i	$0.534803\pi$
$374$	17.0296	−	1.91877i	0.0455336	−	0.00513041i
$375$	266.587	+	334.290i	0.710899	+	0.891439i
$376$	13.6212	+	27.1623i	0.0362267	+	0.0722402i
$377$	−331.131	−	491.300i	−0.878332	−	1.30318i
$378$	0.405344	−	6.31356i	0.00107234	−	0.0167025i
$379$	595.665	−	241.158i	1.57168	−	0.636301i	0.586826	−	0.809713i	$-0.300377\pi$
$379$	595.665	−	241.158i	1.57168	−	0.636301i	0.984849	+	0.173412i	$0.0554793\pi$
$380$	−39.5314	−	39.5314i	−0.104030	−	0.104030i
$381$	−202.065	+	476.979i	−0.530354	+	1.25191i
$382$	−0.298039	−	1.40957i	−0.000780206	−	0.00368996i
$383$	80.8555	−	161.235i	0.211111	−	0.420979i	−0.763208	−	0.646153i	$-0.776377\pi$
$383$	80.8555	−	161.235i	0.211111	−	0.420979i	0.974319	+	0.225174i	$0.0722950\pi$
$384$	52.4091	−	6.75740i	0.136482	−	0.0175974i
$385$	351.807	+	674.348i	0.913784	+	1.75155i
$386$	0.162172	−	3.36996i	0.000420134	−	0.00873048i
$387$	−496.664	−	480.992i	−1.28337	−	1.24287i
$388$	−97.1740	−	425.747i	−0.250449	−	1.09729i
$389$	655.590	−	95.2348i	1.68532	−	0.244820i	0.767282	−	0.641310i	$-0.221609\pi$
$389$	655.590	−	95.2348i	1.68532	−	0.244820i	0.918039	+	0.396490i	$0.129772\pi$
$390$	0.640056	−	19.9593i	0.00164117	−	0.0511777i
$391$	174.555	+	711.974i	0.446432	+	1.82091i
$392$	−0.0754853	+	4.70903i	−0.000192565	+	0.0120128i
$393$		−	787.549i		−	2.00394i
$394$	−4.65410	+	7.35580i	−0.0118124	+	0.0186695i
$395$	731.281			1.85134
$396$	−845.374	−	13.5513i	−2.13478	−	0.0342204i
$397$	−145.083	+	35.5700i	−0.365448	+	0.0895970i	−0.416590	−	0.909094i	$-0.636775\pi$
$397$	−145.083	+	35.5700i	−0.365448	+	0.0895970i	0.0511424	+	0.998691i	$0.483714\pi$
$398$	2.06101	+	0.0660927i	0.00517842	+	0.000166062i
$399$	12.6526	+	87.0996i	0.0317108	+	0.218295i
$400$	−146.699	+	33.4830i	−0.366747	+	0.0837075i
$401$	323.223	−	333.754i	0.806042	−	0.832304i	−0.182507	−	0.983204i	$-0.558421\pi$
$401$	323.223	−	333.754i	0.806042	−	0.832304i	0.988549	+	0.150900i	$0.0482173\pi$
$402$	−22.7189	−	1.09330i	−0.0565148	−	0.00271964i
$403$	129.313	−	67.4625i	0.320876	−	0.167401i
$404$	63.9472	+	495.962i	0.158285	+	1.22763i
$405$	162.924	+	81.7026i	0.402282	+	0.201735i
$406$	−12.2769	+	2.59582i	−0.0302386	+	0.00639366i
$407$	85.9307	+	36.4032i	0.211132	+	0.0894427i
$408$	27.6049	−	27.6049i	0.0676591	−	0.0676591i
$409$	−146.169	−	361.039i	−0.357381	−	0.882737i	−0.993778	−	0.111376i	$-0.964474\pi$
$409$	−146.169	−	361.039i	−0.357381	−	0.882737i	0.636398	−	0.771361i	$-0.280424\pi$
$410$	−6.10357	−	0.391862i	−0.0148867	−	0.000955761i
$411$	71.0378	−	47.8788i	0.172841	−	0.116493i
$412$	82.0252	−	41.1337i	0.199090	−	0.0998390i
$413$	−340.012	+	271.150i	−0.823274	+	0.656539i
$414$	1.97738	+	17.5497i	0.00477627	+	0.0423906i
$415$	193.760	−	331.499i	0.466891	−	0.798793i
$416$	−30.9501	−	16.1466i	−0.0743992	−	0.0388140i
$417$	−15.0184	+	40.8099i	−0.0360154	+	0.0978654i
$418$	−1.69759	+	0.330606i	−0.00406123	+	0.000790924i
$419$	−513.314	+	152.349i	−1.22509	+	0.363601i	−0.831418	−	0.555648i	$-0.812470\pi$
$419$	−513.314	+	152.349i	−1.22509	+	0.363601i	−0.393676	+	0.919249i	$0.628797\pi$
$420$	791.992	+	350.591i	1.88570	+	0.834741i
$421$	−88.0038	+	77.3855i	−0.209035	+	0.183813i	−0.758440	−	0.651743i	$-0.774038\pi$
$421$	−88.0038	+	77.3855i	−0.209035	+	0.183813i	0.549405	+	0.835556i	$0.314854\pi$
$422$	9.00778	−	8.72355i	0.0213454	−	0.0206719i
$423$	−927.979	−	604.047i	−2.19380	−	1.42801i
$424$	−1.41963	−	3.67476i	−0.00334818	−	0.00866689i
$425$	−141.458	+	171.664i	−0.332842	+	0.403916i
$426$	−22.2315	−	1.78552i	−0.0521866	−	0.00419135i
$427$	−651.746	−	148.757i	−1.52634	−	0.348376i
$428$	−439.870	+	286.323i	−1.02773	+	0.668980i
$429$	1025.86	+	740.317i	2.39128	+	1.72568i
$430$	−12.5394	+	6.03866i	−0.0291614	+	0.0140434i
$431$	601.651	−	38.6273i	1.39594	−	0.0896225i	0.652179	−	0.758065i	$-0.273855\pi$
$431$	601.651	−	38.6273i	1.39594	−	0.0896225i	0.743763	+	0.668443i	$0.233039\pi$
$432$	−229.409	+	177.007i	−0.531039	+	0.409739i
$433$	521.620	+	84.3314i	1.20466	+	0.194761i	0.728781	−	0.684747i	$-0.240087\pi$
$433$	521.620	+	84.3314i	1.20466	+	0.194761i	0.475884	+	0.879508i	$0.342128\pi$
$434$	−0.296625	−	3.07483i	−0.000683468	−	0.00708486i
$435$	−188.694	+	968.902i	−0.433779	+	2.22736i
$436$	−119.760	+	197.557i	−0.274680	+	0.453113i
$437$	−23.3117	−	70.2110i	−0.0533448	−	0.160666i
$438$	−8.95434	−	4.85562i	−0.0204437	−	0.0110859i
$439$	−179.472	−	248.695i	−0.408820	−	0.566503i	0.555408	−	0.831578i	$-0.312562\pi$
$439$	−179.472	−	248.695i	−0.408820	−	0.566503i	−0.964228	+	0.265076i	$0.914603\pi$
$440$	−12.2693	+	31.7596i	−0.0278848	+	0.0721810i
$441$	−84.2149	−	149.532i	−0.190963	−	0.339075i
$442$	−16.9212	+	3.01474i	−0.0382832	+	0.00682068i
$443$	−3.40123	−	106.063i	−0.00767772	−	0.239420i	−0.996130	−	0.0878890i	$-0.971988\pi$
$443$	−3.40123	−	106.063i	−0.00767772	−	0.239420i	0.988453	−	0.151531i	$-0.0484202\pi$
$444$	102.350	−	28.6001i	0.230517	−	0.0644147i
$445$	−41.0631	+	45.2150i	−0.0922766	+	0.101607i
$446$	−9.41514	−	4.34959i	−0.0211102	−	0.00975245i
$447$	−64.7906	−	146.363i	−0.144945	−	0.327434i
$448$	383.604	−	326.567i	0.856259	−	0.728944i
$449$	101.338	−	305.214i	0.225697	−	0.679763i	−0.773260	−	0.634090i	$-0.781375\pi$
$449$	101.338	−	305.214i	0.225697	−	0.679763i	0.998956	−	0.0456733i	$-0.0145433\pi$
$450$	−3.90886	+	3.66595i	−0.00868635	+	0.00814655i
$451$	236.693	−	306.763i	0.524817	−	0.680185i
$452$	111.712	+	75.2930i	0.247151	+	0.166577i
$453$	708.155	+	91.3065i	1.56326	+	0.201560i
$454$	2.84720	+	7.73677i	0.00627137	+	0.0170413i
$455$	−395.447	−	652.331i	−0.869114	−	1.43369i
$456$	−2.55390	+	2.99995i	−0.00560065	+	0.00657884i
$457$	−159.163	+	536.273i	−0.348278	+	1.17346i	0.584010	+	0.811746i	$0.301483\pi$
$457$	−159.163	+	536.273i	−0.348278	+	1.17346i	−0.932288	+	0.361717i	$0.882191\pi$
$458$	13.1278	+	1.26642i	0.0286633	+	0.00276511i
$459$	−108.651	+	414.335i	−0.236713	+	0.902690i
$460$	−707.076	−	173.354i	−1.53712	−	0.376857i
$461$	248.405	+	69.4130i	0.538838	+	0.150571i	0.527800	−	0.849369i	$-0.323017\pi$
$461$	248.405	+	69.4130i	0.538838	+	0.150571i	0.0110382	+	0.999939i	$0.496486\pi$
$462$	22.6872	−	14.2553i	0.0491065	−	0.0308557i
$463$	−61.0512	+	541.845i	−0.131860	+	1.17029i	0.737232	+	0.675640i	$0.236133\pi$
$463$	−61.0512	+	541.845i	−0.131860	+	1.17029i	−0.869092	+	0.494651i	$0.835296\pi$
$464$	460.586	+	343.744i	0.992642	+	0.740828i
$465$	−231.820	−	72.8658i	−0.498539	−	0.156701i
$466$	10.5512	−	4.87441i	0.0226420	−	0.0104601i
$467$	−206.863	−	181.903i	−0.442961	−	0.389515i	0.409496	−	0.912312i	$-0.365705\pi$
$467$	−206.863	−	181.903i	−0.442961	−	0.389515i	−0.852457	+	0.522798i	$0.824888\pi$
$468$	846.984	−	40.7592i	1.80980	−	0.0870922i
$469$	−750.125	+	438.445i	−1.59941	+	0.934851i
$470$	−17.8626	+	13.3312i	−0.0380056	+	0.0283643i
$471$	−1123.21	+	393.030i	−2.38474	+	0.834458i
$472$	−19.1655	−	3.41460i	−0.0406048	−	0.00723432i
$473$	126.750	−	872.540i	0.267971	−	1.84469i
$474$	−2.06236	−	25.6785i	−0.00435098	−	0.0541741i
$475$	12.8431	−	18.4115i	0.0270381	−	0.0387611i
$476$	154.211	−	729.337i	0.323973	−	1.53222i
$477$	112.232	+	89.5023i	0.235288	+	0.187636i
$478$	1.07374	−	1.70884i	0.00224631	−	0.00357498i
$479$	−112.212	−	123.558i	−0.234263	−	0.257949i	0.611825	−	0.790993i	$-0.290436\pi$
$479$	−112.212	−	123.558i	−0.234263	−	0.257949i	−0.846087	+	0.533044i	$0.821048\pi$
$480$	17.4399	+	55.4844i	0.0363330	+	0.115593i
$481$	−88.3450	−	30.9133i	−0.183670	−	0.0642687i
$482$	−7.42294	−	4.18052i	−0.0154003	−	0.00867328i
$483$	728.873	+	884.515i	1.50905	+	1.83129i
$484$	−340.085	−	487.537i	−0.702654	−	1.00731i
$485$	590.042	−	249.962i	1.21658	−	0.515386i
$486$	5.11599	−	12.6366i	0.0105267	−	0.0260012i
$487$	−383.048	+	795.407i	−0.786546	+	1.63328i	−0.0126889	+	0.999919i	$0.504039\pi$
$487$	−383.048	+	795.407i	−0.786546	+	1.63328i	−0.773857	+	0.633360i	$0.781675\pi$
$488$	−14.2648	−	26.3060i	−0.0292311	−	0.0539057i
$489$	522.688	+	490.206i	1.06889	+	1.00247i
$490$	−3.41032	+	0.551354i	−0.00695983	+	0.00112521i
$491$	−36.6121	−	139.618i	−0.0745663	−	0.284354i	0.919506	−	0.393076i	$-0.128589\pi$
$491$	−36.6121	−	139.618i	−0.0745663	−	0.284354i	−0.994072	+	0.108723i	$0.965324\pi$
$492$	−7.07175	−	441.160i	−0.0143735	−	0.896666i
$493$	849.483	−	13.6171i	1.72309	−	0.0276210i
$494$	1.67783	−	0.439980i	0.00339643	−	0.000890648i
$495$	−198.009	−	1224.75i	−0.400017	−	2.47425i
$496$	−96.7849	+	103.198i	−0.195131	+	0.208060i
$497$	−748.945	+	406.126i	−1.50693	+	0.817155i
$498$	−12.1869	−	5.86888i	−0.0244716	−	0.0117849i
$499$	558.769	+	226.221i	1.11978	+	0.453348i	0.858961	−	0.512040i	$-0.171110\pi$
$499$	558.769	+	226.221i	1.11978	+	0.453348i	0.260817	+	0.965388i	$0.416008\pi$
$500$	142.563	+	336.524i	0.285126	+	0.673048i
$501$	−40.9734	+	28.5813i	−0.0817832	+	0.0570484i
$502$	−3.94499	+	3.25082i	−0.00785854	+	0.00647573i
$503$	−334.083	+	593.198i	−0.664181	+	1.17932i	0.309390	+	0.950935i	$0.399875\pi$
$503$	−334.083	+	593.198i	−0.664181	+	1.17932i	−0.973571	+	0.228385i	$0.926655\pi$
$504$	11.8662	−	33.9117i	0.0235441	−	0.0672851i
$505$	−700.030	+	220.033i	−1.38620	+	0.435710i
$506$	−16.6723	+	15.1414i	−0.0329493	+	0.0299237i
$507$	−405.016	−	254.488i	−0.798848	−	0.501950i
$508$	−276.071	+	346.182i	−0.543447	+	0.681461i
$509$	−427.711	−	90.4353i	−0.840297	−	0.177672i	−0.233328	−	0.972398i	$-0.574962\pi$
$509$	−427.711	−	90.4353i	−0.840297	−	0.177672i	−0.606969	+	0.794726i	$0.707615\pi$
$510$	23.4864	+	16.3831i	0.0460518	+	0.0321237i
$511$	−387.859	+	31.1508i	−0.759019	+	0.0609604i
$512$	55.8605	+	8.11463i	0.109103	+	0.0158489i
$513$	7.58230	−	42.5580i	0.0147803	−	0.0829590i
$514$	2.94807	+	8.42510i	0.00573554	+	0.0163912i
$515$	80.5354	+	107.910i	0.156379	+	0.209534i
$516$	−506.648	−	866.811i	−0.981876	−	1.67987i
$517$	−67.8718	−	1410.39i	−0.131280	−	2.72803i
$518$	−1.30905	+	1.48867i	−0.00252712	+	0.00287387i
$519$	−314.115	−	679.935i	−0.605232	−	1.31009i
$520$	10.2392	−	32.5758i	0.0196908	−	0.0626458i
$521$	402.454	−	539.252i	0.772465	−	1.03503i	−0.225683	−	0.974201i	$-0.572461\pi$
$521$	402.454	−	539.252i	0.772465	−	1.03503i	0.998148	−	0.0608323i	$-0.0193755\pi$
$522$	20.3395	+	2.29171i	0.0389646	+	0.00439026i
$523$	−156.608	−	249.241i	−0.299442	−	0.476560i	0.662784	−	0.748811i	$-0.269375\pi$
$523$	−156.608	−	249.241i	−0.299442	−	0.476560i	−0.962226	+	0.272251i	$0.912232\pi$
$524$	181.168	−	648.336i	0.345740	−	1.23728i
$525$	−82.8131	+	337.778i	−0.157739	+	0.643386i
$526$	−14.7944	−	3.87955i	−0.0281263	−	0.00737558i
$527$	−20.0832	+	208.183i	−0.0381085	+	0.395035i
$528$	−1176.46	−	349.166i	−2.22814	−	0.661299i
$529$	−330.757	−	281.578i	−0.625250	−	0.532283i
$530$	2.47106	−	1.49797i	0.00466238	−	0.00282636i
$531$	665.726	−	244.993i	1.25372	−	0.461381i
$532$	−9.62040	+	74.6139i	−0.0180834	+	0.140252i
$533$	−217.187	+	322.241i	−0.407481	+	0.604580i
$534$	1.70351	+	1.31439i	0.00319009	+	0.00246141i
$535$	−526.850	−	561.760i	−0.984767	−	1.05002i
$536$	−36.9120	−	12.2556i	−0.0688656	−	0.0228650i
$537$	−181.784	−	213.533i	−0.338517	−	0.397642i
$538$	4.54164	−	2.01045i	0.00844170	−	0.00373689i
$539$	91.7837	−	198.675i	0.170285	−	0.368600i
$540$	−314.912	−	285.995i	−0.583170	−	0.529620i
$541$	98.7778	+	353.491i	0.182584	+	0.653402i	0.997293	+	0.0735323i	$0.0234272\pi$
$541$	98.7778	+	353.491i	0.182584	+	0.653402i	−0.814709	+	0.579870i	$0.803103\pi$
$542$	19.0859	−	0.612046i	0.0352138	−	0.00112924i
$543$	169.414	+	950.886i	0.311996	+	1.75117i
$544$	43.6168	−	24.5645i	0.0801779	−	0.0451554i
$545$	−316.224	−	122.163i	−0.580228	−	0.224153i
$546$	−21.7910	+	15.7256i	−0.0399103	+	0.0288015i
$547$	272.930	−	503.315i	0.498957	−	0.920137i	−0.499591	−	0.866262i	$-0.666516\pi$
$547$	272.930	−	503.315i	0.498957	−	0.920137i	0.998548	−	0.0538750i	$-0.0171572\pi$
$548$	69.4947	−	23.0738i	0.126815	−	0.0421055i
$549$	932.479	+	565.274i	1.69850	+	1.02964i
$550$	−6.70794	−	1.30637i	−0.0121963	−	0.00237522i
$551$	−85.3441	+	8.23304i	−0.154889	+	0.0149420i
$552$	−8.18827	+	50.6474i	−0.0148338	+	0.0917525i
$553$	−601.149	−	779.114i	−1.08707	−	1.40889i
$554$	0.126826	+	1.97541i	0.000228927	+	0.00356573i
$555$	67.6601	+	140.498i	0.121910	+	0.253149i
$556$	−21.7516	+	30.1412i	−0.0391215	+	0.0542108i
$557$	74.2751	+	114.106i	0.133348	+	0.204859i	0.898479	−	0.439016i	$-0.144673\pi$
$557$	74.2751	+	114.106i	0.133348	+	0.204859i	−0.765131	+	0.643875i	$0.777326\pi$
$558$	−1.12124	+	4.91247i	−0.00200939	+	0.00880370i
$559$	−70.7932	+	881.448i	−0.126643	+	1.57683i
$560$	571.065	+	470.579i	1.01976	+	0.840319i
$561$	−1692.23	+	653.738i	−3.01645	+	1.16531i
$562$	5.03367	−	7.73307i	0.00895670	−	0.0137599i
$563$	412.868	+	426.320i	0.733335	+	0.757229i	0.977140	−	0.212595i	$-0.0681917\pi$
$563$	412.868	+	426.320i	0.733335	+	0.757229i	−0.243805	+	0.969824i	$0.578396\pi$
$564$	−1061.79	−	1207.48i	−1.88260	−	2.14092i
$565$	−80.0187	+	180.764i	−0.141626	+	0.319935i
$566$	5.92674	+	19.9691i	0.0104713	+	0.0352812i
$567$	−46.8851	−	240.745i	−0.0826897	−	0.424594i
$568$	−35.7907	−	13.1713i	−0.0630117	−	0.0231889i
$569$	−52.4380	+	100.514i	−0.0921581	+	0.176650i	−0.928268	−	0.371912i	$-0.878702\pi$
$569$	−52.4380	+	100.514i	−0.0921581	+	0.176650i	0.836110	+	0.548562i	$0.184825\pi$
$570$	−2.49499	−	1.45831i	−0.00437717	−	0.00255844i
$571$	417.381	−	47.0275i	0.730964	−	0.0823599i	0.261366	−	0.965240i	$-0.415827\pi$
$571$	417.381	−	47.0275i	0.730964	−	0.0823599i	0.469599	+	0.882880i	$0.344399\pi$
$572$	674.217	+	845.442i	1.17870	+	1.47805i
$573$	68.3663	+	136.330i	0.119313	+	0.237924i
$574$	4.59994	+	6.82493i	0.00801383	+	0.0118901i
$575$	18.7295	−	291.726i	0.0325730	−	0.507350i
$576$	−761.692	+	308.375i	−1.32238	+	0.535373i
$577$	−447.532	−	447.532i	−0.775619	−	0.775619i	0.203464	−	0.979082i	$-0.434780\pi$
$577$	−447.532	−	447.532i	−0.775619	−	0.775619i	−0.979082	+	0.203464i	$0.934780\pi$
$578$	4.63298	−	10.9363i	0.00801553	−	0.0189209i
$579$	73.8820	+	349.423i	0.127603	+	0.603494i
$580$	−378.226	+	754.225i	−0.652113	+	1.30039i
$581$	−512.463	+	66.0748i	−0.882036	+	0.113726i
$582$	−10.4413	−	20.0141i	−0.0179404	−	0.0343885i
$583$	−8.79925	+	182.850i	−0.0150931	+	0.313637i
$584$	−12.5121	−	12.1173i	−0.0214248	−	0.0207488i
$585$	276.882	+	1213.10i	0.473303	+	2.07367i
$586$	−2.50513	+	0.363910i	−0.00427497	+	0.000621007i
$587$	6.96840	−	217.300i	0.0118712	−	0.370188i	−0.976262	−	0.216591i	$-0.930506\pi$
$587$	6.96840	−	217.300i	0.0118712	−	0.370188i	0.988134	−	0.153597i	$-0.0490857\pi$
$588$	−59.3424	−	242.046i	−0.100922	−	0.411642i
$589$	0.338304	−	21.1045i	0.000574370	−	0.0358311i
$590$		−	14.2796i		−	0.0242027i
$591$	279.046	−	878.167i	0.472159	−	1.48590i
$592$	90.7925			0.153366
$593$	566.245	+	9.07686i	0.954883	+	0.0153067i	0.491524	−	0.870864i	$-0.336440\pi$
$593$	566.245	+	9.07686i	0.954883	+	0.0153067i	0.463359	+	0.886171i	$0.346644\pi$
$594$	−12.7814	+	3.13363i	−0.0215176	+	0.00527547i
$595$	1093.32	+	35.0608i	1.83752	+	0.0589257i
$596$	−19.6683	−	135.395i	−0.0330006	−	0.227173i
$597$	−212.813	+	48.5731i	−0.356470	+	0.0813620i
$598$	15.7140	−	16.2260i	0.0262775	−	0.0271337i
$599$	−980.474	−	47.1831i	−1.63685	−	0.0787697i	−0.790871	−	0.611983i	$-0.790372\pi$
$599$	−980.474	−	47.1831i	−1.63685	−	0.0787697i	−0.845981	+	0.533213i	$0.820984\pi$
$600$	−13.8025	+	7.20076i	−0.0230042	+	0.0120013i
$601$	−43.8360	−	339.983i	−0.0729384	−	0.565696i	−0.987071	−	0.160281i	$-0.948760\pi$
$601$	−43.8360	−	339.983i	−0.0729384	−	0.565696i	0.914133	−	0.405415i	$-0.132873\pi$
$602$	16.7417	+	8.39554i	0.0278101	+	0.0139461i
$603$	1386.59	−	293.181i	2.29949	−	0.486204i
$604$	561.972	+	238.071i	0.930418	+	0.394157i
$605$	616.785	−	616.785i	1.01948	−	1.01948i
$606$	9.70059	+	23.9606i	0.0160076	+	0.0395390i
$607$	1089.27	+	69.9335i	1.79451	+	0.115212i	0.925303	−	0.379229i	$-0.123811\pi$
$607$	1089.27	+	69.9335i	1.79451	+	0.115212i	0.869211	+	0.494440i	$0.164627\pi$
$608$	−4.18918	+	2.82347i	−0.00689011	+	0.00464387i
$609$	1187.39	−	595.449i	1.94974	−	0.977749i
$610$	17.1614	−	13.6858i	0.0281335	−	0.0224357i
$611$	158.560	+	1407.26i	0.259509	+	2.30321i
$612$	−613.599	+	1049.79i	−1.00261	+	1.71535i
$613$	232.649	+	121.373i	0.379525	+	0.197998i	0.641582	−	0.767055i	$-0.278278\pi$
$613$	232.649	+	121.373i	0.379525	+	0.197998i	−0.262057	+	0.965052i	$0.584401\pi$
$614$	−6.82910	+	18.5569i	−0.0111223	+	0.0302229i
$615$	635.498	−	123.763i	1.03333	−	0.201241i
$616$	43.9230	−	13.0361i	0.0713036	−	0.0211625i
$617$	531.095	+	235.100i	0.860770	+	0.381037i	0.787529	−	0.616277i	$-0.211360\pi$
$617$	531.095	+	235.100i	0.860770	+	0.381037i	0.0732405	+	0.997314i	$0.476666\pi$
$618$	3.56208	−	3.13229i	0.00576388	−	0.00506843i
$619$	74.2807	−	71.9368i	0.120001	−	0.116215i	−0.633251	−	0.773946i	$-0.718280\pi$
$619$	74.2807	−	71.9368i	0.120001	−	0.116215i	0.753252	+	0.657732i	$0.228484\pi$
$620$	−174.080	−	113.314i	−0.280774	−	0.182764i
$621$	−202.857	−	525.104i	−0.326662	−	0.845578i
$622$	−10.1479	+	12.3149i	−0.0163150	+	0.0197988i
$623$	81.9284	+	6.58006i	0.131506	+	0.0105619i
$624$	1199.92	+	273.874i	1.92295	+	0.438901i
$625$	−646.797	+	421.018i	−1.03487	+	0.673629i
$626$	−7.41068	−	5.34796i	−0.0118381	−	0.00854307i
$627$	164.948	−	79.4350i	0.263076	−	0.126691i
$628$	−1015.08	+	65.1703i	−1.61637	+	0.103774i
$629$	106.263	−	81.9901i	0.168939	−	0.130350i
$630$	26.0159	+	4.20605i	0.0412951	+	0.00667627i
$631$	−75.4817	−	782.447i	−0.119622	−	1.24001i	−0.838511	−	0.544885i	$-0.816573\pi$
$631$	−75.4817	−	782.447i	−0.119622	−	1.24001i	0.718888	−	0.695125i	$-0.244651\pi$
$632$	8.42065	−	43.2382i	0.0133238	−	0.0684149i
$633$	−688.116	+	1135.12i	−1.08707	+	1.79324i
$634$	6.74070	+	20.3019i	0.0106320	+	0.0320219i
$635$	−571.166	−	309.723i	−0.899474	−	0.487752i
$636$	121.988	+	169.039i	0.191805	+	0.265784i
$637$	−79.0974	+	204.747i	−0.124172	+	0.321424i
$638$	12.8087	+	22.7431i	0.0200763	+	0.0356475i
$639$	1368.15	−	243.755i	2.14108	−	0.381464i
$640$	2.12438	+	66.2459i	0.00331934	+	0.103509i
$641$	−984.473	+	275.097i	−1.53584	+	0.429168i	−0.930346	−	0.366682i	$-0.880494\pi$
$641$	−984.473	+	275.097i	−1.53584	+	0.429168i	−0.605493	+	0.795850i	$0.707024\pi$
$642$	−18.2401	+	20.0844i	−0.0284113	+	0.0312841i
$643$	847.771	+	391.652i	1.31846	+	0.609101i	0.947562	−	0.319572i	$-0.103539\pi$
$643$	847.771	+	391.652i	1.31846	+	0.609101i	0.370900	+	0.928673i	$0.379049\pi$
$644$	396.558	+	895.832i	0.615774	+	1.39104i
$645$	1121.83	−	955.029i	1.73927	−	1.48066i
$646$	−0.783777	+	2.36061i	−0.00121328	+	0.00365420i
$647$	637.964	−	598.319i	0.986035	−	0.924759i	−0.0111355	−	0.999938i	$-0.503545\pi$
$647$	637.964	−	598.319i	0.986035	−	0.924759i	0.997170	+	0.0751789i	$0.0239528\pi$
$648$	6.70687	−	8.69239i	0.0103501	−	0.0134142i
$649$	750.148	+	505.593i	1.15585	+	0.779033i
$650$	6.79775	+	0.876473i	0.0104581	+	0.00134842i
$651$	112.936	+	306.883i	0.173481	+	0.471403i
$652$	317.526	+	523.793i	0.487004	+	0.803363i
$653$	−733.766	+	861.923i	−1.12368	+	1.31994i	−0.182056	+	0.983288i	$0.558275\pi$
$653$	−733.766	+	861.923i	−1.12368	+	1.31994i	−0.941628	+	0.336655i	$0.890704\pi$
$654$	−3.39788	+	11.4486i	−0.00519553	+	0.0175055i
$655$	983.244	+	94.8524i	1.50114	+	0.144813i
$656$	95.6161	−	364.626i	0.145756	−	0.555832i
$657$	616.438	+	151.132i	0.938261	+	0.230034i
$658$	28.8872	+	8.07210i	0.0439015	+	0.0122676i
$659$	−220.794	+	138.734i	−0.335044	+	0.210522i	−0.689037	−	0.724726i	$-0.741966\pi$
$659$	−220.794	+	138.734i	−0.335044	+	0.210522i	0.353993	+	0.935248i	$0.384824\pi$
$660$	201.719	−	1790.30i	0.305635	−	2.71258i
$661$	−683.374	−	510.016i	−1.03385	−	0.771582i	−0.0598672	−	0.998206i	$-0.519068\pi$
$661$	−683.374	−	510.016i	−1.03385	−	0.771582i	−0.973982	+	0.226624i	$0.927231\pi$
$662$	−2.40165	−	0.754887i	−0.00362787	−	0.00114031i
$663$	1651.70	−	763.049i	2.49125	−	1.15090i
$664$	−17.3693	−	15.2736i	−0.0261586	−	0.0230024i
$665$	−110.267	+	5.30633i	−0.165814	+	0.00797944i
$666$	2.79164	−	1.63170i	0.00419164	−	0.00245000i
$667$	−894.800	+	667.806i	−1.34153	+	1.00121i
$668$	−40.3055	+	14.1035i	−0.0603375	+	0.0211130i
$669$	1080.86	+	192.570i	1.61563	+	0.287847i
$670$	4.10124	−	28.2326i	0.00612125	−	0.0421382i
$671$	111.325	+	1386.11i	0.165909	+	2.06573i
$672$	44.7772	−	64.1915i	0.0666328	−	0.0955231i
$673$	63.5855	−	300.726i	0.0944807	−	0.446844i	−0.905277	−	0.424822i	$-0.860337\pi$
$673$	63.5855	−	300.726i	0.0944807	−	0.446844i	0.999757	−	0.0220218i	$-0.00701031\pi$
$674$	−11.8562	−	9.45498i	−0.0175908	−	0.0140282i
$675$	90.8782	−	144.632i	0.134634	−	0.214269i
$676$	−274.880	−	302.673i	−0.406627	−	0.447742i
$677$	−95.4915	−	303.803i	−0.141051	−	0.448750i	0.856697	−	0.515819i	$-0.172512\pi$
$677$	−95.4915	−	303.803i	−0.141051	−	0.448750i	−0.997748	+	0.0670700i	$0.978635\pi$
$678$	6.57309	+	2.30002i	0.00969482	+	0.00339236i
$679$	−751.356	−	423.156i	−1.10656	−	0.623204i
$680$	31.1396	+	37.7891i	0.0457935	+	0.0555722i
$681$	−499.282	−	715.758i	−0.733160	−	1.05104i
$682$	−5.91667	+	2.50650i	−0.00867547	+	0.00367523i
$683$	76.5924	−	189.185i	0.112141	−	0.276991i	−0.860441	−	0.509550i	$-0.829812\pi$
$683$	76.5924	−	189.185i	0.112141	−	0.276991i	0.972582	+	0.232559i	$0.0747099\pi$
$684$	53.2437	−	110.562i	0.0778416	−	0.161640i
$685$	51.2202	+	94.4562i	0.0747740	+	0.137892i
$686$	−9.07669	−	8.51264i	−0.0132313	−	0.0124091i
$687$	−1378.23	+	222.821i	−2.00615	+	0.324339i
$688$	−217.581	−	829.732i	−0.316252	−	1.20601i
$689$	−2.94270	−	183.576i	−0.00427097	−	0.266438i
$690$	−37.6283	+	0.603178i	−0.0545337	+	0.000874171i
$691$	126.202	−	33.0939i	0.182636	−	0.0478928i	−0.161204	−	0.986921i	$-0.551538\pi$
$691$	126.202	−	33.0939i	0.182636	−	0.0478928i	0.343840	+	0.939028i	$0.388272\pi$
$692$	−102.177	−	632.004i	−0.147655	−	0.913300i
$693$	−1142.09	+	1217.77i	−1.64804	+	1.75724i
$694$	−19.0739	+	10.3431i	−0.0274840	+	0.0149036i
$695$	−49.1418	−	23.6654i	−0.0707076	−	0.0340510i
$696$	55.1152	+	22.3137i	0.0791886	+	0.0320599i
$697$	−217.367	−	513.100i	−0.311861	−	0.736155i
$698$	3.70776	−	2.58637i	0.00531198	−	0.00370540i
$699$	−949.505	+	782.428i	−1.35838	+	1.11935i
$700$	−145.877	+	259.019i	−0.208396	+	0.370028i
$701$	372.222	−	1063.75i	0.530987	−	1.51747i	−0.295963	−	0.955199i	$-0.595641\pi$
$701$	372.222	−	1063.75i	0.530987	−	1.51747i	0.826950	−	0.562275i	$-0.190074\pi$
$702$	12.5913	−	3.95768i	0.0179363	−	0.00563773i
$703$	−10.0271	+	9.10635i	−0.0142633	+	0.0129536i
$704$	−887.307	−	557.532i	−1.26038	−	0.791948i
$705$	1471.09	−	1844.69i	2.08665	−	2.61658i
$706$	13.6849	+	2.89354i	0.0193837	+	0.00409850i
$707$	809.885	+	564.941i	1.14552	+	0.799067i
$708$	1026.82	−	82.4688i	1.45031	−	0.116481i
$709$	−632.104	−	91.8231i	−0.891542	−	0.129511i	−0.317425	−	0.948283i	$-0.602818\pi$
$709$	−632.104	−	91.8231i	−0.891542	−	0.129511i	−0.574118	+	0.818773i	$0.694655\pi$
$710$	4.90676	−	27.5407i	0.00691092	−	0.0387897i
$711$	530.155	+	1515.10i	0.745647	+	2.13094i
$712$	2.20058	+	2.94857i	0.00309070	+	0.00414126i
$713$	−138.701	−	237.301i	−0.194532	−	0.332820i
$714$	−1.85226	−	38.4904i	−0.00259420	−	0.0539081i
$715$	−1047.83	+	1191.61i	−1.46550	+	1.66658i
$716$	−100.529	−	217.605i	−0.140404	−	0.303918i
$717$	−64.0611	+	203.808i	−0.0893460	+	0.284252i
$718$	−13.5208	+	18.1167i	−0.0188312	+	0.0252321i
$719$	−643.118	−	72.4620i	−0.894462	−	0.100782i	−0.347247	−	0.937774i	$-0.612883\pi$
$719$	−643.118	−	72.4620i	−0.894462	−	0.100782i	−0.547215	+	0.836992i	$0.684312\pi$
$720$	−642.167	−	1022.00i	−0.891898	−	1.41945i
$721$	48.7645	−	174.511i	0.0676345	−	0.242040i
$722$	−3.73843	+	15.2483i	−0.00517788	+	0.0211195i
$723$	872.326	+	228.751i	1.20654	+	0.316391i
$724$	−79.2754	+	821.773i	−0.109496	+	1.13505i
$725$	−324.794	−	96.3972i	−0.447992	−	0.132962i
$726$	−23.3976	−	19.9186i	−0.0322280	−	0.0274361i
$727$	551.380	−	334.250i	0.758432	−	0.459766i	−0.0854182	−	0.996345i	$-0.527223\pi$
$727$	551.380	−	334.250i	0.758432	−	0.459766i	0.843850	+	0.536580i	$0.180284\pi$
$728$	−43.1238	+	15.8699i	−0.0592359	+	0.0217994i
$729$	−148.790	+	1153.99i	−0.204102	+	1.58298i
$730$	7.14064	−	10.5946i	0.00978169	−	0.0145131i
$731$	−1003.94	−	774.623i	−1.37338	−	1.05968i
$732$	1083.23	+	1155.01i	1.47983	+	1.57788i
$733$	−1016.52	−	337.509i	−1.38680	−	0.460449i	−0.478248	−	0.878225i	$-0.658728\pi$
$733$	−1016.52	−	337.509i	−1.38680	−	0.460449i	−0.908550	+	0.417776i	$0.862810\pi$
$734$	−3.13612	−	3.68387i	−0.00427265	−	0.00501890i
$735$	334.396	−	148.027i	0.454960	−	0.201397i
$736$	−27.5899	+	59.7213i	−0.0374863	+	0.0811430i
$737$	1337.93	+	1215.07i	1.81537	+	1.64867i
$738$	−3.61301	−	12.9297i	−0.00489568	−	0.0175199i
$739$	−920.880	+	29.5308i	−1.24612	+	0.0399605i	−0.648120	−	0.761538i	$-0.724444\pi$
$739$	−920.880	+	29.5308i	−1.24612	+	0.0399605i	−0.597996	+	0.801499i	$0.704036\pi$
$740$	23.3799	+	131.227i	0.0315944	+	0.177334i
$741$	−159.988	+	90.1037i	−0.215909	+	0.121597i
$742$	−3.62729	−	1.40129i	−0.00488853	−	0.00188853i
$743$	297.731	−	214.859i	0.400714	−	0.289178i	−0.366688	−	0.930344i	$-0.619508\pi$
$743$	297.731	−	214.859i	0.400714	−	0.289178i	0.767402	+	0.641166i	$0.221549\pi$
$744$	−6.97772	+	12.8677i	−0.00937865	+	0.0172954i
$745$	190.536	−	63.2622i	0.255753	−	0.0849158i
$746$	11.4836	+	6.96140i	0.0153935	+	0.00933163i
$747$	827.282	+	161.113i	1.10747	+	0.215680i
$748$	−1543.48	+	148.898i	−2.06348	+	0.199061i
$749$	−165.408	+	1023.11i	−0.220838	+	1.36596i
$750$	11.5410	+	14.9576i	0.0153880	+	0.0199435i
$751$	41.9206	+	652.948i	0.0558198	+	0.869438i	0.926194	+	0.377047i	$0.123061\pi$
$751$	41.9206	+	652.948i	0.0558198	+	0.869438i	−0.870374	+	0.492391i	$0.836123\pi$
$752$	−596.037	−	1237.68i	−0.792603	−	1.64586i
$753$	316.660	−	438.796i	0.420531	−	0.582731i
$754$	−14.2813	−	21.9399i	−0.0189407	−	0.0290981i
$755$	−199.285	+	873.125i	−0.263954	+	1.15646i
$756$	−45.8286	+	570.612i	−0.0606198	+	0.754778i
$757$	260.257	+	214.462i	0.343801	+	0.283304i	0.791864	−	0.610697i	$-0.209111\pi$
$757$	260.257	+	214.462i	0.343801	+	0.283304i	−0.448064	+	0.894002i	$0.647886\pi$
$758$	26.4870	−	10.2324i	0.0349433	−	0.0134992i
$759$	1300.61	−	1998.08i	1.71358	−	2.63251i
$760$	−3.43781	−	3.54982i	−0.00452343	−	0.00467082i
$761$	519.160	+	590.396i	0.682207	+	0.775815i	0.984117	−	0.177521i	$-0.0568078\pi$
$761$	519.160	+	590.396i	0.682207	+	0.775815i	−0.301910	+	0.953337i	$0.597624\pi$
$762$	−9.26495	+	20.9297i	−0.0121587	+	0.0274668i
$763$	129.798	+	437.333i	0.170115	+	0.573175i
$764$	24.9199	+	127.959i	0.0326177	+	0.167485i
$765$	−1674.50	−	616.233i	−2.18889	−	0.805533i
$766$	3.68635	−	7.06605i	0.00481247	−	0.00922460i
$767$	−783.293	−	457.832i	−1.02124	−	0.596912i
$768$	−1184.07	+	133.412i	−1.54175	+	0.173714i
$769$	−235.678	−	295.531i	−0.306474	−	0.384306i	0.604614	−	0.796519i	$-0.293327\pi$
$769$	−235.678	−	295.531i	−0.306474	−	0.384306i	−0.911088	+	0.412213i	$0.864756\pi$
$770$	15.0651	+	30.0416i	0.0195651	+	0.0390150i
$771$	−528.092	−	783.531i	−0.684945	−	1.01625i
$772$	−19.5593	+	304.652i	−0.0253359	+	0.394627i
$773$	−114.622	+	46.4055i	−0.148283	+	0.0600330i	−0.448206	−	0.893930i	$-0.647937\pi$
$773$	−114.622	+	46.4055i	−0.148283	+	0.0600330i	0.299923	+	0.953963i	$0.403039\pi$
$774$	−21.6018	−	21.6018i	−0.0279093	−	0.0279093i
$775$	32.5338	−	76.7970i	0.0419792	−	0.0990929i
$776$	−7.98515	−	37.7656i	−0.0102901	−	0.0486670i
$777$	94.0678	−	187.582i	0.121065	−	0.241418i
$778$	29.0312	−	3.74315i	0.0373151	−	0.00481125i
$779$	26.0116	+	49.8594i	0.0333910	+	0.0640043i
$780$	−86.8534	+	1804.83i	−0.111350	+	2.31389i
$781$	1273.06	+	1232.89i	1.63004	+	1.57860i
$782$	7.20756	+	31.5784i	0.00921682	+	0.0403815i
$783$	−645.636	+	93.7889i	−0.824567	+	0.119781i
$784$	6.82431	−	212.807i	0.00870447	−	0.271437i
$785$	−355.413	−	1449.66i	−0.452755	−	1.84669i
$786$	0.557738	−	34.7936i	0.000709591	−	0.0442667i
$787$		−	1157.53i		−	1.47081i	−0.677625	−	0.735407i	$-0.736991\pi$
$787$		−	1157.53i		−	1.47081i	0.677625	−	0.735407i	$-0.263009\pi$
$788$	431.734	−	658.744i	0.547885	−	0.835970i
$789$	1619.05			2.05203
$790$	32.3077	+	0.517890i	0.0408958	+	0.000655556i
$791$	258.367	−	63.3439i	0.326633	−	0.0800807i
$792$	−74.6957	−	2.39535i	−0.0943127	−	0.00302443i
$793$	−200.491	−	1380.17i	−0.252826	−	1.74044i
$794$	−6.43489	+	1.46872i	−0.00810440	+	0.00184978i
$795$	−212.803	+	219.736i	−0.267677	+	0.276398i
$796$	−186.368	−	8.96854i	−0.234131	−	0.0112670i
$797$	492.405	−	256.888i	0.617824	−	0.322318i	−0.124643	−	0.992202i	$-0.539778\pi$
$797$	492.405	−	256.888i	0.617824	−	0.322318i	0.742466	+	0.669884i	$0.233656\pi$
$798$	0.497304	+	3.85699i	0.000623188	+	0.00483332i
$799$	−1815.29	−	910.322i	−2.27195	−	1.13933i
$800$	−19.5303	+	4.12949i	−0.0244129	+	0.00516186i
$801$	−123.448	−	52.2966i	−0.154117	−	0.0652892i
$802$	14.5162	−	14.5162i	0.0181000	−	0.0181000i
$803$	303.737	+	750.236i	0.378253	+	0.934292i
$804$	2053.84	+	131.861i	2.55453	+	0.164006i
$805$	−1192.09	+	803.458i	−1.48086	+	0.998084i
$806$	5.76078	−	2.88889i	0.00714737	−	0.00358423i
$807$	−411.059	+	327.809i	−0.509367	+	0.406207i
$808$	4.94906	+	43.9242i	0.00612508	+	0.0543616i
$809$	137.105	−	234.569i	0.169474	−	0.289949i	−0.766345	−	0.642429i	$-0.777927\pi$
$809$	137.105	−	234.569i	0.169474	−	0.289949i	0.935819	+	0.352480i	$0.114661\pi$
$810$	7.14008	+	3.72497i	0.00881491	+	0.00459873i
$811$	148.784	−	404.293i	0.183457	−	0.498512i	−0.813034	−	0.582217i	$-0.802186\pi$
$811$	148.784	−	404.293i	0.183457	−	0.498512i	0.996491	+	0.0837049i	$0.0266753\pi$
$812$	1114.48	−	217.045i	1.37251	−	0.267297i
$813$	−1937.87	+	575.149i	−2.38360	+	0.707440i
$814$	3.77061	+	1.66914i	0.00463219	+	0.00205053i
$815$	−674.968	+	593.528i	−0.828182	+	0.728255i
$816$	−1267.82	+	1227.82i	−1.55370	+	1.50468i
$817$	107.250	+	69.8123i	0.131274	+	0.0854496i
$818$	−6.20199	−	16.0541i	−0.00758190	−	0.0196260i
$819$	1064.84	−	1292.22i	1.30017	−	1.57780i
$820$	551.634	+	44.3043i	0.672724	+	0.0540296i
$821$	153.373	+	35.0063i	0.186812	+	0.0426387i	0.314903	−	0.949124i	$-0.398028\pi$
$821$	153.373	+	35.0063i	0.186812	+	0.0426387i	−0.128091	+	0.991762i	$0.540885\pi$
$822$	3.17233	−	2.06496i	0.00385928	−	0.00251211i
$823$	−1035.59	−	747.337i	−1.25831	−	0.908065i	−0.259964	−	0.965618i	$-0.583711\pi$
$823$	−1035.59	−	747.337i	−1.25831	−	0.908065i	−0.998342	+	0.0575537i	$0.981670\pi$
$824$	7.30773	−	3.51922i	0.00886861	−	0.00427090i
$825$	721.939	−	46.3500i	0.875078	−	0.0561818i
$826$	−15.2136	+	11.7385i	−0.0184184	+	0.0142113i
$827$	936.387	+	151.388i	1.13227	+	0.183057i	0.696882	−	0.717186i	$-0.254570\pi$
$827$	936.387	+	151.388i	1.13227	+	0.183057i	0.435388	+	0.900243i	$0.356611\pi$
$828$	−153.446	−	1590.62i	−0.185321	−	1.92104i
$829$	15.0740	−	77.4020i	0.0181834	−	0.0933679i	−0.971357	−	0.237626i	$-0.923631\pi$
$829$	15.0740	−	77.4020i	0.0181834	−	0.0933679i	0.989540	+	0.144258i	$0.0460796\pi$
$830$	8.79501	−	14.5083i	0.0105964	−	0.0174799i
$831$	−66.0286	−	198.868i	−0.0794568	−	0.239311i
$832$	923.908	+	501.002i	1.11047	+	0.602166i
$833$	−184.188	−	255.230i	−0.221114	−	0.306398i
$834$	−0.692409	+	1.79233i	−0.000830227	+	0.00214908i
$835$	−30.7485	−	54.5970i	−0.0368245	−	0.0653857i
$836$	154.064	−	27.4487i	0.184287	−	0.0328334i
$837$	−5.14776	−	160.526i	−0.00615026	−	0.191788i
$838$	−22.7859	+	6.36719i	−0.0271908	+	0.00759808i
$839$	348.982	−	384.268i	0.415950	−	0.458007i	−0.495992	−	0.868327i	$-0.665195\pi$
$839$	348.982	−	384.268i	0.415950	−	0.458007i	0.911941	+	0.410320i	$0.134583\pi$
$840$	69.5002	+	32.1076i	0.0827384	+	0.0382233i
$841$	183.374	+	414.246i	0.218043	+	0.492563i
$842$	−3.94278	+	3.35654i	−0.00468264	+	0.00398639i
$843$	−307.782	+	926.990i	−0.365103	+	1.09963i
$844$	−827.603	+	776.173i	−0.980573	+	0.919637i
$845$	366.506	−	475.007i	0.433734	−	0.562138i
$846$	−40.5700	−	27.3438i	−0.0479551	−	0.0323213i
$847$	−1164.16	−	150.101i	−1.37445	−	0.177215i
$848$	61.5085	+	167.138i	0.0725336	+	0.197097i
$849$	−1143.07	−	1885.61i	−1.34637	−	2.22097i
$850$	−6.37112	+	7.48388i	−0.00749544	+	0.00880457i
$851$	−50.1868	+	169.096i	−0.0589739	+	0.198703i
$852$	2008.74	+	193.781i	2.35768	+	0.227442i
$853$	−19.7938	+	75.4825i	−0.0232050	+	0.0884906i	−0.977885	−	0.209144i	$-0.932932\pi$
$853$	−19.7938	+	75.4825i	−0.0232050	+	0.0884906i	0.954680	+	0.297634i	$0.0961976\pi$
$854$	−28.6885	−	7.03358i	−0.0335931	−	0.00823604i
$855$	173.426	+	48.4614i	0.202838	+	0.0566800i
$856$	−39.2817	+	24.6823i	−0.0458898	+	0.0288345i
$857$	−6.38457	+	56.6647i	−0.00744991	+	0.0661198i	−0.996887	−	0.0788426i	$-0.974878\pi$
$857$	−6.38457	+	56.6647i	−0.00744991	+	0.0661198i	0.989437	+	0.144962i	$0.0463061\pi$
$858$	44.7977	+	33.4334i	0.0522118	+	0.0389667i
$859$	495.369	+	155.704i	0.576681	+	0.181262i	0.574172	−	0.818735i	$-0.305324\pi$
$859$	495.369	+	155.704i	0.576681	+	0.181262i	0.00250849	+	0.999997i	$0.499202\pi$
$860$	1143.22	−	528.144i	1.32933	−	0.614121i
$861$	−654.270	−	575.327i	−0.759895	−	0.668208i
$862$	26.6081	−	1.28045i	0.0308678	−	0.00148544i
$863$	261.984	−	153.129i	0.303574	−	0.177438i	−0.344973	−	0.938613i	$-0.612112\pi$
$863$	261.984	−	153.129i	0.303574	−	0.177438i	0.648547	+	0.761175i	$0.275377\pi$
$864$	−30.8067	+	22.9916i	−0.0356559	+	0.0266107i
$865$	886.721	−	310.277i	1.02511	−	0.358702i
$866$	22.9852	+	4.09514i	0.0265419	+	0.00472880i
$867$	−180.743	+	1244.22i	−0.208470	+	1.43509i
$868$	22.3770	+	278.616i	0.0257799	+	0.320986i
$869$	−1171.11	+	1678.88i	−1.34766	+	1.93197i
$870$	−9.02259	+	42.6721i	−0.0103708	+	0.0490484i
$871$	−1417.18	−	1130.16i	−1.62707	−	1.29755i
$872$	−10.8644	+	17.2906i	−0.0124592	+	0.0198287i
$873$	945.643	+	1041.26i	1.08321	+	1.19274i
$874$	−0.980178	−	3.11841i	−0.00112148	−	0.00356797i
$875$	681.187	+	238.358i	0.778500	+	0.272409i
$876$	803.076	+	452.284i	0.916753	+	0.516306i
$877$	253.848	+	308.054i	0.289451	+	0.351259i	0.896213	−	0.443624i	$-0.146308\pi$
$877$	253.848	+	308.054i	0.289451	+	0.351259i	−0.606762	+	0.794883i	$0.707532\pi$
$878$	−7.75288	−	11.1143i	−0.00883016	−	0.0126587i
$879$	246.742	−	104.528i	0.280708	−	0.118917i
$880$	577.622	−	1426.74i	0.656388	−	1.62129i
$881$	−206.485	+	428.771i	−0.234376	+	0.486687i	−0.984672	−	0.174415i	$-0.944197\pi$
$881$	−206.485	+	428.771i	−0.234376	+	0.486687i	0.750296	+	0.661102i	$0.229911\pi$
$882$	−3.61469	−	6.66591i	−0.00409828	−	0.00755772i
$883$	85.3213	+	80.0191i	0.0966266	+	0.0906219i	0.730891	−	0.682495i	$-0.239105\pi$
$883$	85.3213	+	80.0191i	0.0966266	+	0.0906219i	−0.634264	+	0.773117i	$0.718697\pi$
$884$	1535.26	−	248.210i	1.73672	−	0.280780i
$885$	383.424	+	1462.16i	0.433248	+	1.65216i
$886$	−0.0751519	−	4.68823i	−8.48215e−5	−	0.00529146i
$887$	−416.012	+	6.66863i	−0.469010	+	0.00751818i	−0.250086	−	0.968224i	$-0.580459\pi$
$887$	−416.012	+	6.66863i	−0.469010	+	0.00751818i	−0.218924	+	0.975742i	$0.570255\pi$
$888$	9.08627	−	2.38270i	0.0102323	−	0.00268322i
$889$	139.545	+	863.133i	0.156968	+	0.970904i
$890$	−1.84617	+	1.96850i	−0.00207435	+	0.00221180i
$891$	−448.490	+	243.200i	−0.503356	+	0.272952i
$892$	845.499	+	407.171i	0.947869	+	0.456469i
$893$	189.964	+	76.9080i	0.212726	+	0.0861232i
$894$	−2.75877	−	6.51215i	−0.00308587	−	0.00728429i
$895$	288.488	−	201.237i	0.322333	−	0.224845i
$896$	68.8327	−	56.7207i	0.0768222	−	0.0633044i
$897$	−1173.35	+	2083.40i	−1.30808	+	2.32263i
$898$	4.69322	−	13.4125i	0.00522630	−	0.0149359i
$899$	−303.899	+	95.5214i	−0.338041	+	0.106253i
$900$	358.959	−	325.997i	0.398843	−	0.362219i
$901$	222.923	+	140.072i	0.247418	+	0.155463i
$902$	10.6742	−	13.3851i	0.0118340	−	0.0148393i
$903$	−1939.70	−	410.130i	−2.14806	−	0.454186i
$904$	9.76655	+	6.81272i	0.0108037	+	0.00753620i
$905$	−1207.57	+	96.9859i	−1.33433	+	0.107167i
$906$	31.2214	+	4.53540i	0.0344607	+	0.00500596i
$907$	74.1846	−	416.384i	0.0817912	−	0.459079i	−0.916468	−	0.400107i	$-0.868973\pi$
$907$	74.1846	−	416.384i	0.0817912	−	0.459079i	0.998260	−	0.0589716i	$-0.0187821\pi$
$908$	−246.372	−	704.091i	−0.271335	−	0.775430i
$909$	−963.373	−	1290.83i	−1.05982	−	1.42006i
$910$	−17.0087	−	29.0998i	−0.0186909	−	0.0319778i
$911$	39.1250	+	813.026i	0.0429473	+	0.892455i	0.915101	+	0.403224i	$0.132110\pi$
$911$	39.1250	+	813.026i	0.0429473	+	0.892455i	−0.872154	+	0.489231i	$0.837277\pi$
$912$	117.617	−	133.756i	0.128966	−	0.146662i
$913$	450.760	+	975.717i	0.493713	+	1.06869i
$914$	−7.41155	+	23.5796i	−0.00810891	+	0.0257983i
$915$	−1389.77	+	1862.17i	−1.51887	+	2.03515i
$916$	−1185.86	−	133.614i	−1.29461	−	0.145867i
$917$	−707.219	−	1125.53i	−0.771231	−	1.22741i
$918$	−5.09361	+	18.2282i	−0.00554859	+	0.0198564i
$919$	−238.010	+	970.793i	−0.258988	+	1.05636i	0.685569	+	0.728008i	$0.259554\pi$
$919$	−238.010	+	970.793i	−0.258988	+	1.05636i	−0.944556	+	0.328350i	$0.893508\pi$
$920$	−62.2464	−	16.3229i	−0.0676591	−	0.0177423i
$921$	200.993	−	2083.51i	0.218234	−	2.26222i
$922$	10.9253	+	3.24256i	0.0118495	+	0.00351688i
$923$	−1353.40	−	1152.16i	−1.46630	−	1.24828i
$924$	−2073.23	+	1256.81i	−2.24376	+	1.36018i
$925$	−50.2291	+	18.4848i	−0.0543018	+	0.0199835i
$926$	−3.08095	+	23.8953i	−0.00332716	+	0.0258048i
$927$	−165.187	+	245.088i	−0.178195	+	0.264388i
$928$	60.3644	+	46.5759i	0.0650478	+	0.0501896i
$929$	−727.116	−	775.295i	−0.782687	−	0.834548i	0.206919	−	0.978358i	$-0.433656\pi$
$929$	−727.116	−	775.295i	−0.782687	−	0.834548i	−0.989605	+	0.143810i	$0.954065\pi$
$930$	−10.1901	−	3.38336i	−0.0109571	−	0.00363802i
$931$	20.5906	+	24.1868i	0.0221166	+	0.0259794i
$932$	−961.654	+	425.696i	−1.03182	+	0.456755i
$933$	708.429	−	1533.47i	0.759302	−	1.64359i
$934$	−9.01030	−	8.18292i	−0.00964701	−	0.00876116i
$935$	−612.371	−	2191.46i	−0.654942	−	2.34381i
$936$	74.9149	−	2.40238i	0.0800373	−	0.00256664i
$937$	177.039	+	993.689i	0.188943	+	1.06050i	0.923971	+	0.382463i	$0.124924\pi$
$937$	177.039	+	993.689i	0.188943	+	1.06050i	−0.735028	+	0.678037i	$0.762831\pi$
$938$	−33.4508	+	18.8391i	−0.0356618	+	0.0200843i
$939$	902.418	+	348.620i	0.961041	+	0.371268i
$940$	1635.40	−	1180.20i	1.73979	−	1.25553i
$941$	100.304	−	184.973i	0.106593	−	0.196570i	−0.820264	−	0.571985i	$-0.806173\pi$
$941$	100.304	−	184.973i	0.106593	−	0.196570i	0.926857	+	0.375415i	$0.122500\pi$
$942$	−49.9016	+	16.5685i	−0.0529740	+	0.0175886i
$943$	626.242	+	379.632i	0.664096	+	0.402579i
$944$	863.861	+	168.237i	0.915107	+	0.178217i
$945$	−836.127	+	80.6602i	−0.884791	+	0.0853547i
$946$	6.21771	−	38.4587i	0.00657263	−	0.0406540i
$947$	−322.241	−	417.638i	−0.340276	−	0.441012i	0.590260	−	0.807213i	$-0.299025\pi$
$947$	−322.241	−	417.638i	−0.340276	−	0.441012i	−0.930535	+	0.366202i	$0.880658\pi$
$948$	149.346	+	2326.18i	0.157538	+	2.45378i
$949$	−352.211	−	731.375i	−0.371140	−	0.770679i
$950$	0.580441	−	0.804318i	0.000610991	−	0.000846651i
$951$	−1235.35	−	1897.82i	−1.29900	−	1.99561i
$952$	14.6626	−	64.2410i	0.0154019	−	0.0674800i
$953$	−94.4855	+	1176.44i	−0.0991454	+	1.23446i	0.733126	+	0.680093i	$0.238060\pi$
$953$	−94.4855	+	1176.44i	−0.0991454	+	1.23446i	−0.832271	+	0.554368i	$0.812960\pi$
$954$	4.89500	+	4.03366i	0.00513103	+	0.00422816i
$955$	−178.441	+	68.9348i	−0.186849	+	0.0721831i
$956$	−99.6213	+	153.045i	−0.104206	+	0.160089i
$957$	−1922.23	−	1984.86i	−2.00860	−	2.07404i
$958$	−4.86997	−	5.53820i	−0.00508348	−	0.00578100i
$959$	58.5291	−	132.218i	0.0610314	−	0.137871i
$960$	−498.224	−	1678.68i	−0.518983	−	1.74863i
$961$	168.713	+	866.303i	0.175559	+	0.901460i
$962$	−3.88116	−	1.42830i	−0.00403447	−	0.00148472i
$963$	781.927	−	1498.81i	0.811970	−	1.55639i
$964$	665.505	+	388.985i	0.690358	+	0.403512i
$965$	−445.148	+	50.1562i	−0.461293	+	0.0519753i
$966$	31.5749	+	39.5937i	0.0326863	+	0.0409873i
$967$	−840.499	−	1676.05i	−0.869182	−	1.73325i	−0.653719	−	0.756737i	$-0.726792\pi$
$967$	−840.499	−	1676.05i	−0.869182	−	1.73325i	−0.215463	−	0.976512i	$-0.569126\pi$
$968$	−29.3663	−	43.5707i	−0.0303370	−	0.0450111i
$969$	16.8698	−	262.761i	0.0174095	−	0.271167i
$970$	26.2449	−	10.6254i	0.0270566	−	0.0109540i
$971$	−668.274	−	668.274i	−0.688233	−	0.688233i	0.273608	−	0.961841i	$-0.411783\pi$
$971$	−668.274	−	668.274i	−0.688233	−	0.688233i	−0.961841	+	0.273608i	$0.911783\pi$
$972$	−481.181	+	1135.84i	−0.495042	+	1.16856i
$973$	15.1836	+	71.8103i	0.0156049	+	0.0738030i
$974$	−17.4862	+	34.8695i	−0.0179530	+	0.0358003i
$975$	−719.592	+	92.7811i	−0.738043	+	0.0951601i
$976$	625.748	+	1199.44i	0.641136	+	1.22894i
$977$	3.90201	−	81.0847i	0.00399387	−	0.0829935i	−0.995985	−	0.0895223i	$-0.971466\pi$
$977$	3.90201	−	81.0847i	0.00399387	−	0.0829935i	0.999979	+	0.00652880i	$0.00207820\pi$
$978$	22.7450	+	22.0273i	0.0232566	+	0.0225228i
$979$	−38.0443	−	166.683i	−0.0388603	−	0.170258i
$980$	309.338	−	44.9362i	0.315651	−	0.0458533i
$981$	23.8500	−	743.730i	0.0243119	−	0.758134i
$982$	−1.51863	−	6.19418i	−0.00154647	−	0.00630772i
$983$	−18.1930	+	1134.94i	−0.0185076	+	1.15457i	0.807132	+	0.590371i	$0.201018\pi$
$983$	−18.1930	+	1134.94i	−0.0185076	+	1.15457i	−0.825640	+	0.564198i	$0.809186\pi$
$984$		−	39.0001i		−	0.0396342i
$985$	1062.77	+	454.152i	1.07896	+	0.461068i
$986$	37.5395			0.0380725
$987$	−3174.66	−	50.8895i	−3.21647	−	0.0515598i
$988$	−152.435	+	37.3726i	−0.154287	+	0.0378265i
$989$	1665.60	+	53.4126i	1.68413	+	0.0540066i
$990$	−7.88058	−	54.2493i	−0.00796018	−	0.0547973i
$991$	833.064	−	190.141i	0.840630	−	0.191868i	0.219536	−	0.975604i	$-0.429546\pi$
$991$	833.064	−	190.141i	0.840630	−	0.191868i	0.621094	+	0.783736i	$0.286689\pi$
$992$	−13.0576	+	13.4831i	−0.0131629	+	0.0135918i
$993$	266.187	+	12.8096i	0.268064	+	0.0128999i
$994$	−33.3757	+	17.4121i	−0.0335772	+	0.0175172i
$995$	−35.0117	−	271.544i	−0.0351877	−	0.272908i
$996$	1094.06	+	548.644i	1.09845	+	0.550847i
$997$	−482.712	+	102.065i	−0.484164	+	0.102372i	−0.442516	−	0.896761i	$-0.645914\pi$
$997$	−482.712	+	102.065i	−0.484164	+	0.102372i	−0.0416483	+	0.999132i	$0.513261\pi$
$998$	24.5260	+	10.3901i	0.0245752	+	0.0104109i
$999$	−72.8791	+	72.8791i	−0.0729521	+	0.0729521i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.3.i.a.2.17	✓	2688
197.99	odd	196	inner	197.3.i.a.99.17	yes	2688

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.3.i.a.2.17	✓	2688	1.1	even	1	trivial
197.3.i.a.99.17	yes	2688	197.99	odd	196	inner

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:	\( N \)	\(=\)	\( 197 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	197.i (of order \(196\), degree \(84\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0441796 + 0.000708195i) q^{2} +(-4.54280 + 1.11376i) q^{3} +(-3.99599 - 0.128144i) q^{4} +(-0.843380 - 5.80577i) q^{5} +(-0.201488 + 0.0459883i) q^{6} +(-5.49223 + 5.67118i) q^{7} +(-0.352988 - 0.0169867i) q^{8} +(11.4172 - 5.95634i) q^{9} +(-0.0331486 - 0.257094i) q^{10} +(14.6796 + 7.36145i) q^{11} +(18.2957 - 3.86845i) q^{12} +(-15.1654 - 6.42460i) q^{13} +(-0.246661 + 0.246661i) q^{14} +(10.2975 + 25.4351i) q^{15} +(15.9438 + 1.02362i) q^{16} +(19.5848 - 13.2000i) q^{17} +(0.508626 - 0.255063i) q^{18} +(-1.86349 + 1.48609i) q^{19} +(2.62617 + 23.3079i) q^{20} +(18.6338 - 31.8801i) q^{21} +(0.643325 + 0.335622i) q^{22} +(-10.7196 + 29.1285i) q^{23} +(1.62247 - 0.315976i) q^{24} +(-9.02897 + 2.67975i) q^{25} +(-0.665454 - 0.294577i) q^{26} +(-13.6197 + 11.9764i) q^{27} +(22.6736 - 21.9582i) q^{28} +(30.1481 + 19.6242i) q^{29} +(0.436929 + 1.13101i) q^{30} +(-5.63163 + 6.83419i) q^{31} +(2.11271 + 0.169682i) q^{32} +(-74.8853 - 17.0921i) q^{33} +(0.874597 - 0.569299i) q^{34} +(37.5576 + 27.1036i) q^{35} +(-46.3863 + 22.3385i) q^{36} +(5.67117 - 0.364101i) q^{37} +(-0.0833809 + 0.0643350i) q^{38} +(76.0490 + 12.2950i) q^{39} +(0.199082 + 2.06369i) q^{40} +(4.51023 - 23.1591i) q^{41} +(0.845810 - 1.39525i) q^{42} +(-16.9182 - 50.9550i) q^{43} +(-57.7161 - 31.2974i) q^{44} +(-44.2102 - 61.2621i) q^{45} +(-0.494215 + 1.27930i) q^{46} +(-42.1937 - 74.9193i) q^{47} +(-73.5694 + 13.1074i) q^{48} +(-0.427144 - 13.3199i) q^{49} +(-0.400794 + 0.111996i) q^{50} +(-74.2682 + 81.7776i) q^{51} +(59.7777 + 27.6160i) q^{52} +(4.51228 + 10.1933i) q^{53} +(-0.610196 + 0.519467i) q^{54} +(30.3584 - 91.4347i) q^{55} +(2.03502 - 1.90856i) q^{56} +(6.81034 - 8.82648i) q^{57} +(1.31803 + 0.888342i) q^{58} +(54.6341 + 7.04428i) q^{59} +(-37.8896 - 102.958i) q^{60} +(43.8962 + 72.4114i) q^{61} +(-0.253643 + 0.297944i) q^{62} +(-28.9264 + 97.4625i) q^{63} +(-63.5178 - 6.12748i) q^{64} +(-24.5095 + 93.4654i) q^{65} +(-3.29630 - 0.808155i) q^{66} +(105.995 + 29.6189i) q^{67} +(-79.9522 + 50.2373i) q^{68} +(16.2547 - 144.264i) q^{69} +(1.64008 + 1.22403i) q^{70} +(102.951 + 32.3595i) q^{71} +(-4.13131 + 1.90857i) q^{72} +(37.0125 + 32.5466i) q^{73} +(0.250808 - 0.0120696i) q^{74} +(38.0322 - 22.2297i) q^{75} +(7.63694 - 5.69960i) q^{76} +(-122.372 + 42.8197i) q^{77} +(3.35111 + 0.597047i) q^{78} +(-17.9192 + 123.355i) q^{79} +(-7.50372 - 93.4290i) q^{80} +(-17.7741 + 25.4805i) q^{81} +(0.215661 - 1.01997i) q^{82} +(51.1704 + 40.8070i) q^{83} +(-78.5456 + 125.005i) q^{84} +(-93.1533 - 102.572i) q^{85} +(-0.711355 - 2.26315i) q^{86} +(-158.814 - 55.5713i) q^{87} +(-5.05666 - 2.84786i) q^{88} +(-6.62079 - 8.03458i) q^{89} +(-1.90980 - 2.73785i) q^{90} +(119.727 - 50.7205i) q^{91} +(46.5680 - 115.024i) q^{92} +(17.9717 - 37.3186i) q^{93} +(-1.81105 - 3.33979i) q^{94} +(10.1995 + 9.56567i) q^{95} +(-9.78661 + 1.58222i) q^{96} +(27.7060 + 105.655i) q^{97} +(-0.00943797 - 0.588772i) q^{98} +(211.447 - 3.38947i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 2688 q - 84 q^{2} - 84 q^{3} - 84 q^{4} - 84 q^{5} - 98 q^{6} - 84 q^{7} - 140 q^{8} - 84 q^{9} - 84 q^{10} - 140 q^{11} - 140 q^{12} - 84 q^{13} - 28 q^{14} - 84 q^{15} + 112 q^{16} - 84 q^{17} - 210 q^{18}+ \cdots + 630 q^{99}+O(q^{100}) \) 2688 * q - 84 * q^2 - 84 * q^3 - 84 * q^4 - 84 * q^5 - 98 * q^6 - 84 * q^7 - 140 * q^8 - 84 * q^9 - 84 * q^10 - 140 * q^11 - 140 * q^12 - 84 * q^13 - 28 * q^14 - 84 * q^15 + 112 * q^16 - 84 * q^17 - 210 * q^18 - 98 * q^19 - 84 * q^20 - 84 * q^21 - 84 * q^22 - 84 * q^23 - 308 * q^24 - 84 * q^25 + 70 * q^26 - 126 * q^27 - 910 * q^28 - 294 * q^29 + 70 * q^30 - 84 * q^31 - 84 * q^32 - 98 * q^33 - 84 * q^34 - 84 * q^35 + 2198 * q^36 + 126 * q^37 - 140 * q^38 - 84 * q^39 + 476 * q^40 + 28 * q^41 - 588 * q^42 - 84 * q^43 - 84 * q^44 - 966 * q^45 - 448 * q^46 + 266 * q^47 - 1428 * q^48 + 756 * q^49 - 84 * q^50 - 84 * q^51 + 126 * q^52 - 84 * q^53 - 588 * q^54 - 84 * q^55 - 84 * q^56 - 672 * q^57 + 532 * q^58 + 616 * q^59 - 378 * q^60 - 364 * q^61 - 854 * q^62 + 1036 * q^63 - 1428 * q^64 + 28 * q^65 + 406 * q^66 - 84 * q^67 - 966 * q^68 - 504 * q^69 - 84 * q^70 + 434 * q^71 - 532 * q^72 - 84 * q^73 + 546 * q^74 - 84 * q^75 - 308 * q^76 + 700 * q^77 + 2310 * q^78 - 1400 * q^79 - 84 * q^80 - 700 * q^81 - 84 * q^82 - 98 * q^83 - 588 * q^84 + 1666 * q^85 - 84 * q^86 - 84 * q^87 + 420 * q^88 + 868 * q^89 - 1890 * q^90 + 1260 * q^91 + 924 * q^92 - 98 * q^93 - 420 * q^94 - 1834 * q^95 + 364 * q^96 + 504 * q^97 - 980 * q^98 + 630 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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