Properties

Level 10
Symmetry odd
Weight 0
Character \( \chi_{10}(9,\cdot) \)
Multiplicity 2
Precision 4e-11
Fricke Eigenvalue 0
Atkin-Lehner Eigenvalues 1,0,0,0

Downloads

Learn more about

Spectral parameter

$R= 8.09045206331$

The first few Fourier Coefficients

n \( c_{ 1 } (n) \) \( c_{ 2 } (n) \)
0  0  0
1 1 1
2 -2.441297374e-12 - 0.7071067811i -2.441363379e-12 + 0.7071067811i
3 3.460382459e-12 - 1.579034375i 3.461230643e-12 + 1.579034375i
4 -0.5000000000 - 1.988335966e-13i -0.5000000000 + 1.991325125e-13i
5 -0.999074197 + 0.0430203142i -0.999074197 - 0.0430203142i
6 -1.116545914 + 1.386955951e-12i -1.116545914 - 1.386923669e-12i
7 4.773735765e-12 - 1.512250093i 4.774619432e-12 + 1.512250093i
8 4.842513624e-12 + 0.3535533905i 4.844155831e-12 - 0.3535533905i
9 -1.493349557 + 2.858328699e-12i -1.493349557 - 2.856711679e-12i
10 0.0304199559 + 0.706452140i 0.0304199559 - 0.706452140i
11 0.7488146069 + 1.601690860e-13i 0.7488146069 - 1.602783126e-13i
12 -2.491804985e-12 + 0.7895171875i -2.491683919e-12 - 0.7895171875i
13 1.506756684e-12 - 0.1023429117i 1.510255021e-12 + 0.1023429117i
14 -1.069322296 + 2.721728867e-12i -1.069322296 - 2.720927326e-12i
15 0.06793055504 + 1.577572501i 0.06793055504 - 1.577572501i
16 0.2499999999 - 5.009738028e-13i 0.2499999999 + 5.009996497e-13i
17 -4.704790839e-12 + 0.3921098784i -4.706477739e-12 - 0.3921098784i
18 -3.580333764e-12 + 1.055957598i -3.580895036e-12 - 1.055957598i
19 1.085597760 + 1.244277353e-12i 1.085597760 - 1.244177623e-12i
20 0.499537098 - 0.0215101571i 0.499537098 + 0.0215101571i
21 -2.387894881 + 2.105272993e-12i -2.387894881 - 2.104292617e-12i
22 -0.5294918864i 0.5294918864i
23 1.039739083e-12 + 0.05004532140i 1.040269229e-12 - 0.05004532140i
24 0.5582729571 - 1.093976700e-12i 0.5582729571 + 1.093076104e-12i
25 0.996298505 - 0.0859609719i 0.996298505 + 0.0859609719i
26 -0.07236736689 - 1.363223723e-12i -0.07236736689 + 1.363629287e-12i
27 -2.089949814e-13 + 0.7790159105i -2.081647406e-13 - 0.7790159105i
28 -7.158346225e-13 + 0.7561250468i -7.143584693e-13 - 0.7561250468i
29 -1.253818137 - 6.465806960e-12i -1.253818137 + 6.465810705e-12i
30 1.115512213 - 0.04803415611i 1.115512213 + 0.04803415611i
31 -0.9838595682 + 7.106126991e-12i -0.9838595682 - 7.105743098e-12i
32 -1.258970729e-12 - 0.1767766953i -1.258008918e-12 + 0.1767766953i
33 4.845740795e-12 - 1.182404004i 4.843946992e-12 + 1.182404004i
34 0.2772635540 - 3.414187077e-12i 0.2772635540 + 3.414356282e-12i
35 0.06505747428 + 1.510850049i 0.06505747428 - 1.510850049i
36 0.7466747788 + 7.523818832e-12i 0.7466747788 - 7.522182802e-12i
37 -4.297249423e-11 - 1.120686721i -4.298971828e-11 + 1.120686721i
38 4.882062981e-11 - 0.7676335380i 4.881189892e-11 + 0.7676335380i
39 -0.1616029756 - 3.497606914e-11i -0.1616029756 + 3.496804561e-11i
40 -0.0152099780 - 0.353226070i -0.0152099780 + 0.353226070i
41 -0.9303700135 + 1.978430090e-12i -0.9303700135 - 2.002592264e-12i
42 3.872772389e-11 + 1.688496663i 3.873698980e-11 - 1.688496663i
43 9.273071768e-11 + 0.7030248129i 9.271961236e-11 - 0.7030248129i
44 -0.3744073037 - 3.039952714e-12i -0.3744073037 + 3.061835883e-12i
45 1.491967011 - 0.06424436749i 1.491967011 + 0.06424436749i
46 0.03538738620 + 3.033831668e-10i 0.03538738620 - 3.033058548e-10i
47 1.205582128e-10 + 0.01816544287i 1.205106767e-10 - 0.01816544287i
48 -2.043902946e-10 - 0.3947585951i -2.040873731e-10 + 0.3947585951i
49 -1.286900345 - 3.982891418e-10i -1.286900345 + 3.980401727e-10i
50 -0.0607835863 - 0.704489427i -0.0607835863 + 0.704489427i
51 0.6191549746 + 9.544730682e-10i 0.6191549746 - 9.532904723e-10i
52 4.508484510e-9 + 0.05117145675i 4.509510642e-9 - 0.05117145675i
53 -1.921432927e-10 + 0.1538216505i -1.881965203e-10 - 0.1538216505i
54 0.5508474313 + 4.244443082e-9i 0.5508474313 - 4.240892606e-9i
55 -0.748121353 + 0.0322142405i -0.748121353 - 0.0322142405i
56 0.5346611420 - 1.085997616e-8i 0.5346611420 + 1.085443337e-8i
57 4.304843426e-9 - 1.714196158i 4.301841909e-9 + 1.714196158i
58 1.664805319e-9 + 0.8865833129i 1.656365909e-9 - 0.8865833129i
59 0.4251545218 - 3.863477566e-8i 0.4251545218 + 3.862865972e-8i
60 -0.0339652860 - 0.788786224i -0.0339652860 + 0.788786224i
61 -0.6711850986 - 4.888350260e-8i -0.6711850987 + 4.891882502e-8i
62 5.179278956e-8 + 0.6956937961i 5.176254164e-8 - 0.6956937961i
63 1.276021474e-7 + 2.258318183i 1.276433558e-7 - 2.258318183i
64 -0.1249999999 + 1.632714918e-11i -0.1249999999 - 1.634787082e-11i
65 0.00440282426 + 0.102248162i 0.00440282426 - 0.102248162i
66 -0.8360858900 - 3.106235103e-12i -0.8360858900 + 3.079549156e-12i
67 -3.747416209e-11 - 0.9093175872i -3.747747616e-11 + 0.9093175872i
68 -7.559887745e-11 - 0.1960549391i -7.558880849e-11 + 0.1960549391i
69 0.07902328288 - 4.257935752e-11i 0.07902328288 + 4.255867479e-11i
70 1.068332315 - 0.04600258128i 1.068332315 + 0.04600258128i
71 1.357947434 - 4.435261294e-12i 1.357947434 + 4.439013165e-12i
72 -3.693430745e-10 - 0.5279787994i -3.692449324e-10 + 0.5279787994i
73 4.872627939e-11 + 1.624838390i 4.840011985e-11 - 1.624838390i
74 -0.7924451806 - 6.056974866e-11i -0.7924451806 + 6.057317072e-11i
75 -0.1357353294 - 1.573189587i -0.1357353294 + 1.573189587i
76 -0.5427988804 + 2.863351679e-10i -0.5427988804 - 2.864996625e-10i
77 4.079483415e-10 - 1.132394960i 4.076762930e-10 + 1.132394960i
78 8.973078517e-11 + 0.1142705598i 8.927106661e-11 - 0.1142705598i
79 -0.7357633087 - 1.938435546e-10i -0.7357633087 + 1.938378887e-10i
80 -0.249768549 + 0.0107550783i -0.249768549 - 0.0107550783i
81 -0.2632566580 + 1.534856912e-9i -0.2632566580 - 1.534339224e-9i
82 2.249847842e-9 + 0.6578709456i 2.250239642e-9 - 0.6578709456i
83 1.198526803e-9 - 0.2450811433i 1.199671086e-9 + 0.2450811433i
84 1.193947441 - 9.599601376e-10i 1.193947441 + 9.610855053e-10i
85 -0.0168686950 - 0.391746864i -0.0168686950 + 0.391746864i
86 0.4971136118 - 1.810631852e-9i 0.4971136118 + 1.810721295e-9i
87 1.904546688e-9 + 1.979821941i 1.901107985e-9 - 1.979821941i
88 4.664104970e-9 + 0.2647459499i 4.663484384e-9 - 0.2647459499i
89 0.6341507533 + 3.291405270e-9i 0.6341507533 - 3.292751994e-9i
90 -0.04542762667 - 1.054979989i -0.04542762667 + 1.054979989i
91 -0.1547680781 - 1.758953260e-8i -0.1547680781 + 1.758464511e-8i
92 2.818926462e-9 - 0.02502267570i 2.820067339e-9 + 0.02502267570i
93 -1.206698443e-8 + 1.553548090i -1.206750533e-8 - 1.553548090i
94 0.01284491004 + 1.191101025e-8i 0.01284491004 - 1.190251240e-8i
95 -1.084592702 + 0.04670278733i -1.084592702 - 0.04670278734i
96 -0.2791364563 + 9.877804560e-9i -0.2791364563 - 9.884882565e-9i
97 -2.288603467e-8 - 1.952723602i -2.287500770e-8 + 1.952723602i
98 -9.522507069e-9 + 0.9099759271i -9.564508793e-9 - 0.9099759271i
99 -1.118241983 - 7.861088725e-8i -1.118241983 + 7.862502427e-8i
100 -0.498149236 + 0.0429805414i -0.498149236 - 0.0429805414i
101 0.9494315681 + 2.046975342e-10i 0.9494315681 - 2.046813142e-10i
102 4.254720535e-10 - 0.4378086824i 4.251894921e-10 + 0.4378086824i
103 -7.119468841e-10 - 1.040963248i -7.117172991e-10 + 1.040963248i
104 0.03618368300 - 1.381586596e-10i 0.03618368300 + 1.381727762e-10i
105 2.385684163 - 0.1027279891i 2.385684163 + 0.1027279891i
106 0.1087683376 + 3.913471240e-10i 0.1087683376 - 3.914908837e-10i
107 -4.803445345e-10 - 0.1216966616i -4.804907535e-10 + 0.1216966616i
108 3.022063197e-10 - 0.3895079535i 3.027475086e-10 + 0.3895079535i
109 0.5557725497 - 1.002815597e-9i 0.5557725497 + 1.002353935e-9i
110 0.0227789063 + 0.529001680i 0.0227789063 - 0.529001680i
111 -1.769602857 + 2.100774857e-9i -1.769602857 - 2.100440526e-9i
112 -4.646629449e-10 - 0.3780625246i -4.637159325e-10 + 0.3780625246i
113 2.599729439e-9 + 1.373039027i 2.598494929e-9 - 1.373039027i
114 -1.212119740 - 3.987893022e-9i -1.212119740 + 3.988521667e-9i
115 -0.00215296615 - 0.0499989872i -0.00215296615 + 0.0499989872i
116 0.6269090659 + 8.189946120e-10i 0.6269090659 - 8.202059864e-10i
117 -3.990012461e-9 + 0.1528337415i -3.990704108e-9 - 0.1528337415i
118 -2.028130759e-9 - 0.3006296258i -2.031178903e-9 + 0.3006296258i
119 0.5929681992 - 2.778036994e-9i 0.5929681992 + 2.779379674e-9i
120 -0.557756101 + 0.0240170865i -0.557756101 - 0.0240170865i
121 -0.4392766759 - 7.853726939e-9i -0.4392766759 + 7.854423323e-9i
122 3.463683403e-9 + 0.4745994742i 3.468359981e-9 - 0.4745994742i
123 -1.066526634e-8 + 1.469086217i -1.066121812e-8 - 1.469086217i
124 0.4919297755 + 4.982807937e-9i 0.4919297755 - 4.975186151e-9i
125 -0.991678051 + 0.128742483i -0.991678051 - 0.128742483i
126 1.596871967 - 1.062125829e-8i 1.596871967 + 1.061575679e-8i
127 3.437551426e-8 - 1.302862257i 3.436736015e-8 + 1.302862257i
128 -3.306320429e-9 + 0.08838831860i -3.319001853e-9 - 0.08838831860i
129 1.110100332 - 1.075334747e-8i 1.110100332 + 1.075313350e-8i
130 0.0723003310 - 0.00311328251i 0.0723003310 + 0.00311328252i
131 -0.9084851063 - 2.296151840e-9i -0.9084851063 + 2.309433538e-9i
132 -3.704385258e-8 + 0.5912020092i -3.703470819e-8 - 0.5912020092i
133 8.336794126e-8 - 1.641695289i 8.338609922e-8 + 1.641695289i
134 -0.6429846318 + 4.326283342e-10i -0.6429846318 - 4.324024626e-10i
135 -0.0335135089 - 0.778294694i -0.0335135089 + 0.778294694i
136 -0.1386317774 + 1.288230230e-9i -0.1386317774 - 1.288451849e-9i
137 -2.027200184e-9 + 0.8778406867i -2.026343446e-9 - 0.8778406867i
138 -1.051614591e-9 - 0.05587790103i -1.050691537e-9 + 0.05587790103i
139 -0.3294527710 - 3.988605009e-9i -0.3294527710 + 3.988522631e-9i
140 -0.0325287346 - 0.755425023i -0.0325287346 + 0.755425023i
141 0.02868386023 + 2.769811319e-9i 0.02868386023 - 2.770081446e-9i
142 6.029883072e-9 - 0.9602138356i 6.030062477e-9 + 0.9602138356i
143 4.336865199e-9 - 0.07663586281i 4.338910702e-9 + 0.07663586281i
144 -0.3733373938 - 3.435277975e-9i -0.3733373938 + 3.435365868e-9i
145 1.252657341 - 0.05393965500i 1.252657341 + 0.05393965500i
146 1.148934248 - 7.396532611e-9i 1.148934248 + 7.396028110e-9i
147 -3.824241796e-9 + 2.032059883i -3.829834152e-9 - 2.032059883i
148 -1.517096234e-8 + 0.5603433623i -1.516692371e-8 - 0.5603433623i
149 -0.2628755047 + 1.047984331e-8i -0.2628755047 - 1.047794282e-8i
150 -1.112413019 + 0.09597938095i -1.112413019 - 0.09597938095i
151 -0.6908697857 - 3.705542665e-9i -0.6908697857 + 3.710158380e-9i
152 1.292649713e-8 + 0.3838167664i 1.291673294e-8 - 0.3838167664i
153 -3.286067955e-9 - 0.5855571336i -3.283486074e-9 + 0.5855571336i
154 -0.8007241477 + 1.430070495e-9i -0.8007241477 - 1.435240715e-9i
155 0.982948726 - 0.0423259481i 0.982948726 + 0.0423259481i
156 0.08080147123 + 2.009584061e-8i 0.08080147123 - 2.009157888e-8i
157 4.531734040e-9 - 0.2778483310i 4.525138179e-9 + 0.2778483310i
158 1.741478689e-8 + 0.5202632202i 1.739735683e-8 - 0.5202632201i
159 0.2428896775 + 7.145377473e-9i 0.2428896775 - 7.147823823e-9i
160 0.00760498589 + 0.176613030i 0.00760498589 - 0.176613030i
161 0.07568103952 + 1.729577733e-9i 0.07568103952 - 1.727955936e-9i
162 4.641195275e-9 + 0.1861505662i 4.640151253e-9 - 0.1861505662i
163 -2.708462494e-9 + 0.6062869443i -2.707321872e-9 - 0.6062869443i
164 0.4651850100 + 5.299578133e-9i 0.4651850100 - 5.301570761e-9i
165 0.05086739129 + 1.181309327i 0.05086739129 - 1.181309327i
166 -0.1732985370 + 1.020918173e-10i -0.1732985370 - 9.847191879e-11i
167 -8.876864228e-9 - 1.917268098i -8.878518368e-9 + 1.917268098i
168 4.565989198e-9 - 0.8442483328i 4.567411413e-9 + 0.8442483328i
169 0.9895259248 - 3.475808751e-9i 0.9895259248 + 3.475285193e-9i
170 -0.277006856 + 0.0119279707i -0.277006856 - 0.0119279707i
171 -1.621176928 - 4.076294624e-9i -1.621176928 + 4.071202129e-9i
172 6.903929813e-9 - 0.3515123944i 6.902406801e-9 + 0.3515123944i
173 -1.105886745e-8 + 0.6962801084i -1.107569946e-8 - 0.6962801084i
174 1.399945523 - 2.255225960e-8i 1.399945523 + 2.256182849e-8i
175 -0.1299945047 - 1.506652488i -0.1299945047 + 1.506652488i
176 0.1872036463 - 1.957080161e-8i 0.1872036464 + 1.956767368e-8i
177 8.157381118e-10 - 0.6713335517i 8.271726167e-10 + 0.6713335516i
178 1.598202877e-8 - 0.4484122963i 1.600414660e-8 + 0.4484122963i
179 -1.613271729 - 1.926304988e-8i -1.613271729 + 1.926487654e-8i
180 -0.745983477 + 0.0321221975i -0.745983477 - 0.0321221974i
181 -0.1197721215 + 2.038447328e-9i -0.1197721215 - 2.020621148e-9i
182 -4.137788682e-8 + 0.1094375669i -4.137652349e-8 - 0.1094375669i
183 -8.902860152e-10 + 1.059824190i -8.973362798e-10 - 1.059824190i
184 -0.01769366000 + 5.031229287e-9i -0.01769366004 - 5.036337405e-9i
185 0.04821230144 + 1.119649157i 0.04821230147 - 1.119649157i
186 1.098524381 + 9.457189245e-8i 1.098524381 - 9.457755349e-8i
187 6.616193877e-8 + 0.2936175543i 6.620294805e-8 - 0.2936175543i
188 -5.853297834e-8 - 0.009082760617i -5.859150518e-8 + 0.009082760609i
189 1.178066872 + 6.795122111e-9i 1.178066872 - 6.759122982e-9i
190 0.0330237445 + 0.766922802i 0.0330237445 - 0.766922802i
191 1.530063240 - 7.603873838e-9i 1.530063240 + 7.600529288e-9i
192 -5.755579805e-9 + 0.1973793013i -5.757130919e-9 - 0.1973793013i
193 5.549129519e-9 - 1.787198140i 5.551715203e-9 + 1.787198140i
194 -1.380784072 + 1.940286862e-9i -1.380784072 - 1.937801116e-9i
195 0.161453370 - 0.00695220198i 0.161453370 + 0.00695220198i
196 0.6434501715 - 8.345502635e-9i 0.6434501715 + 8.342102103e-9i
197 -1.164049180e-8 + 0.4742629638i -1.164053418e-8 - 0.4742629638i
198 1.055097900e-8 + 0.7907164768i 1.054639126e-8 - 0.7907164768i
199 -1.631116727 - 1.028047606e-8i -1.631116727 + 1.027630040e-8i
200 0.0303917917 + 0.352244741i 0.0303917917 - 0.352244741i
201 -1.435843730 + 1.369455754e-8i -1.435843730 - 1.369461453e-8i
202 3.163070701e-8 - 0.6713495188i 3.162165114e-8 + 0.6713495188i
203 -8.467281529e-9 + 1.896086602i -8.460940383e-9 - 1.896086602i
204 -0.3095774915 - 2.833359403e-8i -0.3095774915 + 2.832387098e-8i
205 0.929508636 - 0.0400248344i 0.929508636 + 0.0400248344i
206 -0.7360721340 + 1.485486063e-8i -0.7360721340 - 1.485009010e-8i
207 -2.364678572e-8 - 0.07473512766i -2.364709985e-8 + 0.07473512767i
208 -1.508088659e-8 - 0.02558570286i -1.508527617e-8 + 0.02558570287i
209 0.8129114883 + 2.637370253e-8i 0.8129114883 - 2.637843577e-8i
210 -0.07263963078 - 1.686933507i -0.07263963079 + 1.686933507i
211 0.3751517197 - 2.381625219e-8i 0.3751517197 + 2.381582932e-8i
212 -1.734464562e-8 - 0.07691082841i -1.732636544e-8 + 0.07691082839i
213 -4.116650337e-8 - 2.144245718i -4.119275087e-8 + 2.144245718i
214 -0.08605250667 + 1.057922490e-7i -0.08605250668 - 1.057623631e-7i
215 -0.0302442888 - 0.702373928i -0.0302442888 + 0.702373928i
216 -0.2754237222 - 4.507719011e-9i -0.2754237222 + 4.503578836e-9i
217 -6.558056946e-9 + 1.487841720i -6.560632862e-9 - 1.487841720i
218 -1.315041248e-8 - 0.3929905475i -1.315265044e-8 + 0.3929905475i
219 2.565675668 + 6.198401830e-9i 2.565675668 - 6.194506427e-9i
220 0.374060687 - 0.0161071038i 0.374060687 + 0.0161071038i
221 0.04012967742 - 5.136583661e-9i 0.04012967743 + 5.139220626e-9i
222 -4.603049974e-9 + 1.251298183i -4.594267858e-9 - 1.251298183i
223 1.749821279e-8 - 0.6408484529i 1.749375989e-8 + 0.6408484529i
224 -0.2673305842 - 1.477497840e-8i -0.2673305842 + 1.477387186e-8i
225 -1.487821947 + 0.1283697940i -1.487821947 - 0.1283697940i
226 0.9708851972 - 3.336562152e-9i 0.9708851972 + 3.335073499e-9i
227 -9.514996500e-9 - 0.9148745366i -9.510274420e-9 + 0.9148745366i
228 5.194946843e-8 + 0.8570981082i 5.193469516e-8 - 0.8570981082i
229 -1.164691057 - 1.690374483e-8i -1.164691057 + 1.688992865e-8i
230 -0.0353546327 + 0.00152236286i -0.0353546327 - 0.00152236285i
231 -1.788090632 - 3.054649625e-9i -1.788090632 + 3.061217835e-9i
232 -3.105732038e-9 - 0.4432916701i -3.106161819e-9 + 0.4432916701i
233 -7.756443403e-9 + 0.4573076266i -7.785022133e-9 - 0.4573076266i
234 0.1080698053 + 2.489316074e-8i 0.1080698053 - 2.488758541e-8i
235 -0.000781485647 - 0.0181486270i -0.000781485645 + 0.0181486270i
236 -0.2125772498 + 4.453297885e-9i -0.2125772498 - 4.449856874e-9i
237 3.688362973e-9 + 1.161795548i 3.688798905e-9 - 1.161795548i
238 -3.615742734e-9 - 0.4192918349i -3.616031007e-9 + 0.4192918349i
239 0.9831298189 + 8.602318382e-10i 0.9831298189 - 8.635605105e-10i
240 0.0169826452 + 0.394393123i 0.0169826452 - 0.394393123i
241 -0.5436124852 - 4.312336362e-11i -0.5436124852 + 4.280679128e-11i
242 -9.489715998e-9 + 0.3106155164i -9.490497054e-9 - 0.3106155164i
243 7.229366925e-9 + 1.194707236i 7.238033381e-9 - 1.194707236i
244 0.3355924911 - 8.097110806e-9i 0.3355924911 + 8.095818038e-9i
245 1.285708938 - 0.05536285360i 1.285708938 + 0.05536285359i
246 1.038800847 - 1.692255387e-8i 1.038800847 + 1.692619880e-8i
247 -1.028989938e-8 - 0.1111032232i -1.030105413e-8 + 0.1111032232i
248 -7.895451045e-9 - 0.3478468674i -7.903087614e-9 + 0.3478468674i
249 -0.3869915605 - 1.529096134e-8i -0.3869915605 + 1.528907038e-8i
250 0.0910346780 + 0.701222295i 0.0910346780 - 0.701222295i
251 0.4064661860 - 3.201952232e-8i 0.4064661860 + 3.201782265e-8i
252 3.498339067e-8 - 1.129158983i 3.499620381e-8 + 1.129158983i
253 1.625589569e-9 + 0.03747467265i 1.630600571e-9 - 0.03747467266i
254 -0.9212627537 - 2.947323805e-8i -0.9212627537 + 2.946130138e-8i
255 -0.618581771 + 0.0266362707i -0.618581771 - 0.0266362707i
256 0.06249997409 - 1.415094862e-8i 0.06249997406 + 1.415349513e-8i
257 -2.012382678e-8 - 1.031075610i -2.013815867e-8 + 1.031075610i
258 4.548407014e-8 - 0.7849595020i 4.549029866e-8 + 0.7849595020i
259 -1.694758582 + 1.419568640e-9i -1.694758582 - 1.419209003e-9i
260 -0.00220145197 - 0.0511240517i -0.00220145196 + 0.0511240517i
261 1.872388739 + 4.988075525e-8i 1.872388739 - 4.987215112e-8i
262 3.811720194e-8 + 0.6423959497i 3.814029205e-8 - 0.6423959497i
263 -7.788639649e-8 - 0.3865060147i -7.790937837e-8 + 0.3865060147i
264 0.4180429376 + 2.076394243e-8i 0.4180429375 - 2.070913144e-8i
265 -0.00661738357 - 0.153679336i -0.00661738355 + 0.153679336i
266 -1.160853792 + 1.357120116e-7i -1.160853792 - 1.357441535e-7i
267 3.618925297e-8 - 1.001345939i 3.624245358e-8 + 1.001345939i
268 -4.212695622e-10 + 0.4546587985i -4.206210129e-10 - 0.4546587985i
269 -0.7968701184 - 1.260212115e-8i -0.7968701184 + 1.259888653e-8i
270 -0.550337449 + 0.0236976297i -0.550337449 - 0.0236976297i
271 0.6842999780 - 3.200984657e-9i 0.6842999780 + 3.196091856e-9i
272 -1.496619718e-8 + 0.09802747193i -1.497301983e-8 - 0.09802747193i
273 9.439806430e-9 + 0.2443841333i 9.432421401e-9 - 0.2443841333i
274 0.6207271270 + 1.014772010e-8i 0.6207271270 - 1.014370863e-8i
275 0.746042854 - 0.0643688346i 0.746042854 + 0.0643688346i
276 -0.03951165132 - 2.682964131e-9i -0.03951165131 + 2.675510456e-9i
277 -9.106158731e-9 - 1.462200459i -9.107864513e-9 + 1.462200459i
278 2.977842959e-8 + 0.2329582655i 2.978800071e-8 - 0.2329582656i
279 1.469246249 + 1.666124374e-8i 1.469246249 - 1.667062173e-8i
280 -0.534166157 + 0.0230012844i -0.534166157 - 0.0230012844i
281 -0.1220682284 + 3.212297388e-8i -0.1220682284 - 3.212908242e-8i
282 4.435185829e-8 - 0.02028254588i 4.433428570e-8 + 0.02028254588i
283 1.528103303e-8 + 1.603951811i 1.527982258e-8 - 1.603951811i
284 -0.6789737679 - 3.940824224e-9i -0.6789737679 + 3.945953563e-9i
285 0.07374523173 + 1.712609145i 0.07374523174 - 1.712609145i
286 -0.05418976512 + 6.976490238e-11i -0.05418976514 - 5.612517706e-11i
287 1.727545356e-8 + 1.406952118i 1.727719041e-8 - 1.406952118i
288 -3.308669742e-8 + 0.2639894387i -3.307225036e-8 - 0.2639894387i
289 0.8462498194 + 3.658891763e-8i 0.8462498195 - 3.657778243e-8i
290 -0.0381410145 - 0.885762495i -0.0381410144 + 0.885762495i
291 -3.083417671 + 7.662571776e-11i -3.083417671 - 8.849318208e-11i
292 5.479244188e-8 - 0.8124192143i 5.478545554e-8 + 0.8124192143i
293 -8.392782579e-8 - 0.9905680537i -8.394237947e-8 + 0.9905680537i
294 1.436883357 - 5.807785100e-9i 1.436883357 + 5.801433427e-9i
295 -0.424760888 + 0.0182902388i -0.424760888 - 0.0182902388i
296 0.3962225909 + 1.137990590e-9i 0.3962225909 - 1.138216496e-9i
297 8.207117602e-12 + 0.5833384951i 3.645464836e-12 - 0.5833384951i
298 9.229118410e-9 + 0.1858810498i 9.229882151e-9 - 0.1858810498i
299 0.005121774944 - 1.106509659e-9i 0.005121774952 + 1.104499168e-9i
300 0.0678676493 + 0.786594806i 0.0678676493 - 0.786594806i
301 1.063149348 - 3.257002192e-9i 1.063149348 + 3.257949679e-9i
302 5.665062556e-9 + 0.4885186981i 5.656041845e-9 - 0.4885186981i
303 -1.735056522e-9 - 1.499185070i -1.733740775e-9 + 1.499185070i
304 0.2713994313 + 1.086504054e-8i 0.2713994313 - 1.086486884e-8i
305 0.670563634 - 0.0288745948i 0.670563634 + 0.0288745948i
306 -0.4140513885 + 4.002650054e-9i -0.4140513885 - 4.007485924e-9i
307 -3.795229830e-8 + 0.5288968272i -3.794116698e-8 - 0.5288968272i
308 2.342060096e-8 + 0.5661974781i 2.343093118e-8 - 0.5661974781i
309 -1.643716738 - 2.541787755e-8i -1.643716738 + 2.540720676e-8i
310 -0.0299289555 - 0.695049716i -0.0299289555 + 0.695049716i
311 0.4679495556 + 2.203509388e-8i 0.4679495555 - 2.201582851e-8i
312 1.733609083e-8 - 0.05713525884i 1.733902105e-8 + 0.05713525884i
313 -1.073274338e-8 - 1.154027523i -1.073901795e-8 + 1.154027523i
314 -0.1964684968 + 2.655697566e-8i -0.1964684968 - 2.654597121e-8i
315 -0.09715354307 - 2.256227246i -0.09715354306 + 2.256227246i
316 0.3678816401 - 4.536221104e-8i 0.3678816401 + 4.536512519e-8i
317 8.843396512e-8 + 1.164825093i 8.843292025e-8 - 1.164825093i
318 -5.996361723e-8 - 0.1717489531i -5.998774316e-8 + 0.1717489531i
319 -0.9388773276 + 4.069549582e-8i -0.9388773276 - 4.070331725e-8i
320 0.124884305 - 0.00537753469i 0.124884305 + 0.00537753468i
321 -0.1921631994 - 1.257143070e-8i -0.1921631994 + 1.254434983e-8i
322 -5.443410000e-8 - 0.05351455702i -5.444145499e-8 + 0.05351455702i
323 1.399638418e-8 + 0.4256735389i 1.402214402e-8 - 0.4256735389i
324 0.1316284001 - 8.554698196e-8i 0.1316284001 + 8.553700669e-8i
325 -0.00879752740 - 0.101964055i -0.00879752738 + 0.101964055i
326 0.4287095337 + 9.813807721e-8i 0.4287095336 - 9.812591182e-8i
327 5.910722330e-9 - 0.8775839310i 5.889658164e-9 + 0.8775839310i
328 7.330091757e-8 - 0.3289354106i 7.328922448e-8 + 0.3289354106i
329 0.02747058179 - 1.420025922e-8i 0.02747058176 + 1.423997198e-8i
330 0.835311749 - 0.0359686744i 0.835311749 + 0.0359686744i
331 1.093343896 - 9.868510188e-8i 1.093343896 + 9.860532221e-8i
332 -7.625086869e-10 + 0.1225405706i -7.642037408e-10 - 0.1225405706i
333 -1.776971190e-8 + 1.673577020i -1.776907094e-8 - 1.673577020i
334 -1.355713275 + 7.141662992e-9i -1.355713275 - 7.134186065e-9i
335 0.0391191325 + 0.908475739i 0.0391191325 - 0.908475739i
336 -0.5969737196 + 1.931723805e-9i -0.5969737196 - 1.932773797e-9i
337 9.780143686e-9 + 0.08202812841i 9.791363679e-9 - 0.08202812842i
338 -2.519147905e-9 - 0.6997005029i -2.510304078e-9 + 0.6997005029i
339 2.168075822 - 1.250393612e-8i 2.168075822 + 1.249932461e-8i
340 0.00843433701 + 0.195873428i 0.00843433701 - 0.195873428i
341 -0.7367284284 + 1.228851921e-8i -0.7367284284 - 1.228232538e-8i
342 5.613482732e-9 + 1.146345223i 5.610718174e-9 - 1.146345223i
343 1.322578452e-9 + 0.4338650944i 1.308914001e-9 - 0.4338650944i
344 -0.2485567912 - 1.755523716e-9i -0.2485567912 + 1.752606710e-9i
345 -0.0789501117 + 0.00339957922i -0.0789501117 - 0.00339957923i
346 0.4923443561 - 3.906335792e-9i 0.4923443561 + 3.896983533e-9i
347 2.255606393e-9 + 0.8170805346i 2.230966941e-9 - 0.8170805346i
348 4.997511759e-10 - 0.9899109859i 4.854928270e-10 + 0.9899109859i
349 -0.7953955792 + 7.283552508e-9i -0.7953955792 - 7.284431912e-9i
350 -1.065364216 + 0.09191999571i -1.065364216 - 0.09191999570i
351 0.07972677110 - 7.299616917e-9i 0.07972677111 + 7.288850651e-9i
352 7.313740921e-10 - 0.1323730125i 7.482968000e-10 + 0.1323730125i
353 5.483868053e-8 - 0.5261732345i 5.486891754e-8 + 0.5261732344i
354 -0.4747046034 + 4.241011625e-8i -0.4747046034 - 4.239994810e-8i
355 -1.356690251 + 0.05841931415i -1.356690251 - 0.05841931415i
356 -0.3170753371 + 2.645419082e-8i -0.3170753371 - 2.644600606e-8i
357 1.286685020e-8 - 0.9363171324i 1.286325095e-8 + 0.9363171324i
358 -3.352711256e-8 + 1.140755406i -3.351514199e-8 - 1.140755406i
359 1.376602693 - 1.045109108e-8i 1.376602693 + 1.044134366e-8i
360 0.0227138666 + 0.527489937i 0.0227138666 - 0.527489937i
361 0.1785224792 - 3.020584329e-8i 0.1785224792 + 3.022103479e-8i
362 -3.747152600e-8 + 0.08469165327i -3.745638814e-8 - 0.08469165327i
363 -3.430509369e-8 + 0.6936329709i -3.433292566e-8 - 0.6936329709i
364 0.07738411943 - 1.706478989e-9i 0.07738411948 + 1.692720330e-9i
365 -0.06990105217 - 1.623334104i -0.06990105217 + 1.623334104i
366 0.7494088783 - 3.687648280e-9i 0.7494088783 + 3.688416144e-9i
367 -9.051615645e-9 - 0.8220320227i -9.049877773e-9 + 0.8220320227i
368 6.468474481e-9 + 0.01251133477i 6.468854127e-9 - 0.01251133477i
369 1.389367656 + 3.308214443e-9i 1.389367656 - 3.306339482e-9i
370 0.791711526 - 0.0340912309i 0.791711526 + 0.0340912309i
371 0.2326168142 - 1.524785058e-8i 0.2326168142 + 1.524300083e-8i
372 -1.198410986e-8 - 0.7767740372i -1.198546349e-8 + 0.7767740372i
373 5.492228987e-9 - 0.9095862297i 5.486335840e-9 + 0.9095862298i
374 0.2076189893 + 3.228076383e-10i 0.2076189893 - 3.251469570e-10i
375 0.2032887763 + 1.565893744i 0.2032887763 - 1.565893744i
376 -0.006422443432 - 6.428108933e-10i -0.006422443434 + 6.489216952e-10i
377 9.813874209e-9 + 0.1283193988i 9.805409060e-9 - 0.1283193988i
378 1.108387108e-9 - 0.8330190918i 1.108811199e-9 + 0.8330190918i
379 -0.9090507747 - 9.423560697e-10i -0.9090507747 + 9.417442694e-10i
380 0.542296347 - 0.0233513722i 0.542296347 + 0.0233513722i
381 -2.057264327 + 1.587771208e-8i -2.057264327 - 1.588060466e-8i
382 9.175416380e-9 - 1.081918087i 9.174770194e-9 + 1.081918087i
383 -2.377395325e-8 - 0.7580842147i -2.376806305e-8 + 0.7580842147i
384 0.1395682423 - 5.295535518e-9i 0.1395682423 + 5.299147131e-9i
385 0.04871601170 + 1.131346570i 0.04871601171 - 1.131346570i
386 -1.263739933 - 1.699501325e-8i -1.263739933 + 1.698641623e-8i
387 -1.330404047e-8 - 1.049861781i -1.329997180e-8 + 1.049861781i
388 -2.492217073e-8 + 0.9763617864i -2.492819112e-8 - 0.9763617864i
389 -0.3002194700 - 9.378740683e-9i -0.3002194700 + 9.386612632e-9i
390 -0.00491597149 - 0.114164798i -0.00491597149 + 0.114164798i
391 -0.01962324828 + 2.161214963e-8i -0.01962324831 - 2.160658528e-8i
392 3.319395513e-8 - 0.4549879864i 3.321703896e-8 + 0.4549879863i
393 3.930660362e-8 + 1.434529212i 3.929459583e-8 - 1.434529212i
394 0.3353545514 + 1.533461101e-8i 0.3353545514 - 1.532836023e-8i
395 0.735082113 - 0.0316527458i 0.735082113 + 0.0316527458i
396 0.5591209638 + 3.028080346e-8i 0.5591209639 - 3.028302940e-8i
397 -8.756791961e-9 + 0.7491033710i -8.758681044e-9 - 0.7491033710i
398 4.696648134e-9 + 1.153373748i 4.715701177e-9 - 1.153373748i
399 -2.592293322 - 6.927475563e-8i -2.592293322 + 6.924282961e-8i
400 0.249074660 - 0.0214902795i 0.249074660 + 0.0214902795i
401 0.4668782621 - 5.142133616e-8i 0.4668782621 + 5.141737474e-8i
402 -7.723691404e-8 + 1.015294834i -7.729769703e-8 - 1.015294834i
403 -2.529040367e-8 + 0.1006910217i -2.529337610e-8 - 0.1006910217i
404 -0.4747157287 + 3.907463521e-8i -0.4747157288 - 3.908080488e-8i
405 0.263012946 - 0.0113253583i 0.263012946 + 0.0113253583i
406 1.340735684 - 2.442515527e-8i 1.340735684 + 2.441462216e-8i
407 1.094297323e-9 - 0.8391865817i 1.099826278e-9 + 0.8391865817i
408 -1.746012725e-9 + 0.2189043395i -1.742294136e-9 - 0.2189043395i
409 1.714763688 - 8.619729863e-9i 1.714763688 + 8.622279582e-9i
410 -0.0283018118 - 0.657261866i -0.0283018118 + 0.657261866i
411 1.386140608 - 1.345331297e-9i 1.386140608 + 1.343773026e-9i
412 3.448333521e-9 + 0.5204816289i 3.436719273e-9 - 0.5204816289i
413 9.615159959e-10 - 0.6429399355i 9.676605650e-10 + 0.6429399355i
414 -0.05284574625 - 8.439743305e-9i -0.05284574625 + 8.435486944e-9i
415 0.0105434583 + 0.244854251i 0.0105434583 - 0.244854251i
416 -0.01809183715 + 9.772806092e-9i -0.01809183715 - 9.769032127e-9i
417 -2.368228061e-9 + 0.5202172322i -2.378541629e-9 - 0.5202172322i
418 1.241955461e-8 - 0.5748152186i 1.242295831e-8 + 0.5748152186i
419 -0.4028198962 + 1.297992897e-8i -0.4028198962 - 1.298572777e-8i
420 -1.192842069 + 0.05136397981i -1.192842069 - 0.05136397981i
421 -0.6257969131 + 2.804425207e-8i -0.6257969131 - 2.804201191e-8i
422 -2.843477060e-8 - 0.2652723373i -2.843655156e-8 + 0.2652723373i
423 -6.161498040e-9 - 0.02712736184i -6.162430290e-9 + 0.02712736185i
424 -0.05438416164 + 3.197999800e-8i -0.05438416164 - 3.197178367e-8i
425 0.0337061553 + 0.390658452i 0.0337061553 - 0.390658452i
426 -1.516210682 - 7.143894396e-9i -1.516210682 + 7.143113917e-9i
427 4.920297602e-10 + 1.014999597i 4.836210968e-10 - 1.014999597i
428 -2.206495811e-8 + 0.06084832793i -2.206533685e-8 - 0.06084832794i
429 -0.1210106529 + 2.222383105e-8i -0.1210106530 - 2.221143086e-8i
430 -0.496653387 + 0.0213859712i -0.496653387 - 0.0213859712i
431 -0.3028841786 - 4.342085866e-8i -0.3028841786 + 4.341805670e-8i
432 2.430445440e-8 + 0.1947540003i 2.432960587e-8 - 0.1947540003i
433 5.084093995e-8 - 1.602009591i 5.086348888e-8 + 1.602009591i
434 1.052062958 - 7.260474848e-9i 1.052062958 + 7.253575071e-9i
435 -0.08517254440 - 1.977988995i -0.08517254439 + 1.977988995i
436 -0.2778862876 - 3.355303168e-8i -0.2778862876 + 3.355675884e-8i
437 1.094602098e-8 + 0.05432910168i 1.095182381e-8 - 0.05432910167i
438 1.559929164e-8 - 1.814206636i 1.555377670e-8 + 1.814206636i
439 0.2329440210 - 4.642564570e-8i 0.2329440210 + 4.640617994e-8i
440 -0.0113895085 - 0.264500871i -0.0113895085 + 0.264500871i
441 1.921792099 + 1.254985550e-8i 1.921792099 - 1.256165467e-8i
442 2.483441995e-8 - 0.02837595905i 2.484731764e-8 + 0.02837595904i
443 -6.204463808e-8 + 0.7705386478i -6.208600386e-8 - 0.7705386478i
444 0.8848014092 + 2.429794652e-8i 0.8848014092 - 2.429222662e-8i
445 -0.633563672 + 0.0272813504i -0.633563672 - 0.0272813503i
446 -0.4531482697 + 2.495370828e-8i -0.4531482697 - 2.493935557e-8i
447 8.355473131e-8 + 0.4150894307i 8.355379176e-8 - 0.4150894307i
448 -7.096807022e-8 + 0.1890312508i -7.098101776e-8 - 0.1890312508i
449 0.7653947418 + 2.239780260e-9i 0.7653947418 - 2.237991972e-9i
450 0.09077113859 + 1.052048990i 0.09077113859 - 1.052048990i
451 -0.6966746496 + 2.293738308e-9i -0.6966746496 - 2.289443435e-9i
452 8.383850178e-10 - 0.6865195076i 8.413150762e-10 + 0.6865195076i
453 -1.045332845e-8 + 1.090907126i -1.045830920e-8 - 1.090907126i
454 -0.6469139839 - 1.173614579e-9i -0.6469139839 + 1.175139798e-9i
455 0.154624787 - 0.00665817348i 0.154624787 + 0.00665817348i
456 0.6060598731 + 5.719184359e-9i 0.6060598731 - 5.715737012e-9i
457 -1.439364292e-9 - 0.3947414530i -1.434208104e-9 + 0.3947414530i
458 -1.959799478e-8 + 0.8235609524i -1.959793366e-8 - 0.8235609524i
459 -0.3054598356 - 1.679605013e-9i -0.3054598356 + 1.682319408e-9i
460 0.00107650566 + 0.0249994760i 0.00107650567 - 0.0249994760i
461 0.1834825017 + 1.020467240e-8i 0.1834825017 - 1.020833831e-8i
462 6.111970589e-9 + 1.264370968i 6.113033937e-9 - 1.264370968i
463 1.710819642e-8 - 0.1026638014i 1.710492287e-8 + 0.1026638015i
464 -0.3134545513 + 1.585376952e-8i -0.3134545513 - 1.584853306e-8i
465 -0.06683410358 - 1.552109790i -0.06683410358 + 1.552109790i
466 0.3233652836 + 7.309896757e-9i 0.3233652836 - 7.316158205e-9i
467 -3.653546324e-9 + 1.303149123i -3.660881838e-9 - 1.303149123i
468 9.341300201e-9 - 0.07641689154i 9.352187093e-9 + 0.07641689155i
469 -1.375115636 - 3.340974037e-9i -1.375115636 + 3.333230021e-9i
470 -0.0128330348 + 0.000552586277i -0.0128330348 - 0.000552586272i
471 -0.4387320904 - 1.310745336e-8i -0.4387320905 + 1.310684349e-8i
472 -2.462968125e-8 + 0.1503148408i -2.465521886e-8 - 0.1503148408i
473 7.240481601e-9 + 0.5264352383i 7.253274213e-9 - 0.5264352383i
474 0.8215135327 - 1.204897791e-8i 0.8215135327 + 1.205026925e-8i
475 1.081579417 - 0.09331904552i 1.081579417 + 0.09331904550i
476 -0.2964840990 - 4.811498146e-9i -0.2964840990 + 4.819142319e-9i
477 3.418765296e-8 - 0.2297094664i 3.418610641e-8 + 0.2297094664i
478 -8.982976633e-9 - 0.6951777414i -8.982466110e-9 + 0.6951777414i
479 -1.724472633 + 2.787436466e-8i -1.724472633 - 2.786695043e-8i
480 0.278878061 - 0.0120085382i 0.278878061 + 0.0120085382i
481 -0.1146943871 - 1.830414840e-8i -0.1146943871 + 1.831496262e-8i
482 5.577934609e-8 + 0.3843920169i 5.579185968e-8 - 0.3843920170i
483 -2.542390284e-8 - 0.1195029714i -2.541333356e-8 + 0.1195029714i
484 0.2196383479 + 3.647073842e-9i 0.2196383479 - 3.624801127e-9i
485 0.08400673720 + 1.950915705i 0.08400673719 - 1.950915705i
486 0.8447855321 + 5.463027937e-8i 0.8447855321 - 5.462174367e-8i
487 2.032269452e-8 + 0.8429111431i 2.033170889e-8 - 0.8429111431i
488 -2.245656598e-9 - 0.2372996933i -2.251956327e-9 + 0.2372996933i
489 0.9573479133 - 3.269578022e-8i 0.9573479133 + 3.269072617e-8i
490 -0.0391474596 - 0.909133505i -0.0391474596 + 0.909133505i
491 -0.1553730137 + 3.155892166e-8i -0.1553730137 - 3.157662430e-8i
492 -3.546981539e-8 - 0.7345431631i -3.544954942e-8 + 0.7345431631i
493 4.065083684e-10 - 0.4916344237i 4.156121430e-10 + 0.4916344237i
494 -0.07856189681 + 2.555993448e-8i -0.07856189683 - 2.558578694e-8i
495 1.117206741 - 0.04810709738i 1.117206741 + 0.04810709740i
496 -0.2459648277 - 9.931846427e-8i -0.2459648276 + 9.928240819e-8i
497 -6.450010462e-8 - 2.053556185i -6.448562182e-8 + 2.053556185i
498 -2.085065117e-9 + 0.2736443028i -2.101050984e-9 - 0.2736443028i
499 0.2078137119 + 2.071254066e-10i 0.2078137119 - 2.070643988e-10i