Properties

Label 570.2.k.b.77.5
Level $570$
Weight $2$
Character 570.77
Analytic conductor $4.551$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.k (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.5
Character \(\chi\) \(=\) 570.77
Dual form 570.2.k.b.533.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 + 0.707107i) q^{2} +(0.492817 + 1.66046i) q^{3} -1.00000i q^{4} +(-1.86278 + 1.23695i) q^{5} +(-1.52260 - 0.825649i) q^{6} +(-3.33681 - 3.33681i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.51426 + 1.63661i) q^{9} +O(q^{10})\) \(q+(-0.707107 + 0.707107i) q^{2} +(0.492817 + 1.66046i) q^{3} -1.00000i q^{4} +(-1.86278 + 1.23695i) q^{5} +(-1.52260 - 0.825649i) q^{6} +(-3.33681 - 3.33681i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.51426 + 1.63661i) q^{9} +(0.442526 - 2.19184i) q^{10} -0.00329918i q^{11} +(1.66046 - 0.492817i) q^{12} +(1.14909 - 1.14909i) q^{13} +4.71896 q^{14} +(-2.97192 - 2.48348i) q^{15} -1.00000 q^{16} +(4.95340 - 4.95340i) q^{17} +(0.620596 - 2.93511i) q^{18} -1.00000i q^{19} +(1.23695 + 1.86278i) q^{20} +(3.89620 - 7.18507i) q^{21} +(0.00233287 + 0.00233287i) q^{22} +(1.28904 + 1.28904i) q^{23} +(-0.825649 + 1.52260i) q^{24} +(1.93989 - 4.60834i) q^{25} +1.62506i q^{26} +(-3.95659 - 3.36829i) q^{27} +(-3.33681 + 3.33681i) q^{28} -1.91798 q^{29} +(3.85755 - 0.345380i) q^{30} -3.49143 q^{31} +(0.707107 - 0.707107i) q^{32} +(0.00547816 - 0.00162589i) q^{33} +7.00516i q^{34} +(10.3432 + 2.08826i) q^{35} +(1.63661 + 2.51426i) q^{36} +(-6.71219 - 6.71219i) q^{37} +(0.707107 + 0.707107i) q^{38} +(2.47431 + 1.34173i) q^{39} +(-2.19184 - 0.442526i) q^{40} +3.63777i q^{41} +(2.32558 + 7.83564i) q^{42} +(1.52133 - 1.52133i) q^{43} -0.00329918 q^{44} +(2.65911 - 6.15866i) q^{45} -1.82298 q^{46} +(2.07305 - 2.07305i) q^{47} +(-0.492817 - 1.66046i) q^{48} +15.2685i q^{49} +(1.88688 + 4.63030i) q^{50} +(10.6660 + 5.78381i) q^{51} +(-1.14909 - 1.14909i) q^{52} +(-5.97702 - 5.97702i) q^{53} +(5.17947 - 0.415995i) q^{54} +(0.00408093 + 0.00614564i) q^{55} -4.71896i q^{56} +(1.66046 - 0.492817i) q^{57} +(1.35622 - 1.35622i) q^{58} -11.8886 q^{59} +(-2.48348 + 2.97192i) q^{60} -1.95331 q^{61} +(2.46881 - 2.46881i) q^{62} +(13.8506 + 2.92857i) q^{63} +1.00000i q^{64} +(-0.719129 + 3.56186i) q^{65} +(-0.00272396 + 0.00502332i) q^{66} +(-5.56623 - 5.56623i) q^{67} +(-4.95340 - 4.95340i) q^{68} +(-1.50514 + 2.77566i) q^{69} +(-8.79037 + 5.83713i) q^{70} +3.22989i q^{71} +(-2.93511 - 0.620596i) q^{72} +(10.3760 - 10.3760i) q^{73} +9.49246 q^{74} +(8.60799 + 0.950048i) q^{75} -1.00000 q^{76} +(-0.0110087 + 0.0110087i) q^{77} +(-2.69834 + 0.800855i) q^{78} -12.5069i q^{79} +(1.86278 - 1.23695i) q^{80} +(3.64303 - 8.22972i) q^{81} +(-2.57229 - 2.57229i) q^{82} +(-9.29959 - 9.29959i) q^{83} +(-7.18507 - 3.89620i) q^{84} +(-3.09997 + 15.3542i) q^{85} +2.15149i q^{86} +(-0.945213 - 3.18473i) q^{87} +(0.00233287 - 0.00233287i) q^{88} +6.59825 q^{89} +(2.47456 + 6.23511i) q^{90} -7.66856 q^{91} +(1.28904 - 1.28904i) q^{92} +(-1.72063 - 5.79738i) q^{93} +2.93174i q^{94} +(1.23695 + 1.86278i) q^{95} +(1.52260 + 0.825649i) q^{96} +(7.72270 + 7.72270i) q^{97} +(-10.7965 - 10.7965i) q^{98} +(0.00539946 + 0.00829500i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{3} + 4q^{6} + 20q^{7} + O(q^{10}) \) \( 36q + 4q^{3} + 4q^{6} + 20q^{7} - 4q^{10} - 4q^{12} + 8q^{13} + 4q^{15} - 36q^{16} + 16q^{21} - 4q^{22} + 16q^{25} - 44q^{27} + 20q^{28} + 32q^{30} - 24q^{31} - 4q^{33} + 4q^{36} - 8q^{40} + 12q^{42} - 8q^{43} + 28q^{45} - 16q^{46} - 4q^{48} + 40q^{51} - 8q^{52} - 36q^{55} - 4q^{57} + 44q^{58} + 16q^{60} - 120q^{61} - 12q^{63} + 80q^{67} - 36q^{70} + 44q^{73} + 4q^{75} - 36q^{76} - 64q^{78} + 36q^{81} + 8q^{82} - 24q^{85} - 28q^{87} - 4q^{88} + 44q^{90} - 72q^{93} - 4q^{96} + 92q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 + 0.707107i −0.500000 + 0.500000i
\(3\) 0.492817 + 1.66046i 0.284528 + 0.958668i
\(4\) 1.00000i 0.500000i
\(5\) −1.86278 + 1.23695i −0.833060 + 0.553182i
\(6\) −1.52260 0.825649i −0.621598 0.337070i
\(7\) −3.33681 3.33681i −1.26119 1.26119i −0.950515 0.310679i \(-0.899444\pi\)
−0.310679 0.950515i \(-0.600556\pi\)
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −2.51426 + 1.63661i −0.838088 + 0.545536i
\(10\) 0.442526 2.19184i 0.139939 0.693121i
\(11\) 0.00329918i 0.000994740i −1.00000 0.000497370i \(-0.999842\pi\)
1.00000 0.000497370i \(-0.000158318\pi\)
\(12\) 1.66046 0.492817i 0.479334 0.142264i
\(13\) 1.14909 1.14909i 0.318700 0.318700i −0.529568 0.848268i \(-0.677646\pi\)
0.848268 + 0.529568i \(0.177646\pi\)
\(14\) 4.71896 1.26119
\(15\) −2.97192 2.48348i −0.767347 0.641232i
\(16\) −1.00000 −0.250000
\(17\) 4.95340 4.95340i 1.20138 1.20138i 0.227627 0.973748i \(-0.426903\pi\)
0.973748 0.227627i \(-0.0730967\pi\)
\(18\) 0.620596 2.93511i 0.146276 0.691812i
\(19\) 1.00000i 0.229416i
\(20\) 1.23695 + 1.86278i 0.276591 + 0.416530i
\(21\) 3.89620 7.18507i 0.850221 1.56791i
\(22\) 0.00233287 + 0.00233287i 0.000497370 + 0.000497370i
\(23\) 1.28904 + 1.28904i 0.268783 + 0.268783i 0.828610 0.559826i \(-0.189132\pi\)
−0.559826 + 0.828610i \(0.689132\pi\)
\(24\) −0.825649 + 1.52260i −0.168535 + 0.310799i
\(25\) 1.93989 4.60834i 0.387979 0.921668i
\(26\) 1.62506i 0.318700i
\(27\) −3.95659 3.36829i −0.761447 0.648227i
\(28\) −3.33681 + 3.33681i −0.630597 + 0.630597i
\(29\) −1.91798 −0.356160 −0.178080 0.984016i \(-0.556989\pi\)
−0.178080 + 0.984016i \(0.556989\pi\)
\(30\) 3.85755 0.345380i 0.704290 0.0630575i
\(31\) −3.49143 −0.627079 −0.313539 0.949575i \(-0.601515\pi\)
−0.313539 + 0.949575i \(0.601515\pi\)
\(32\) 0.707107 0.707107i 0.125000 0.125000i
\(33\) 0.00547816 0.00162589i 0.000953625 0.000283031i
\(34\) 7.00516i 1.20138i
\(35\) 10.3432 + 2.08826i 1.74832 + 0.352980i
\(36\) 1.63661 + 2.51426i 0.272768 + 0.419044i
\(37\) −6.71219 6.71219i −1.10348 1.10348i −0.993988 0.109488i \(-0.965079\pi\)
−0.109488 0.993988i \(-0.534921\pi\)
\(38\) 0.707107 + 0.707107i 0.114708 + 0.114708i
\(39\) 2.47431 + 1.34173i 0.396206 + 0.214848i
\(40\) −2.19184 0.442526i −0.346561 0.0699695i
\(41\) 3.63777i 0.568125i 0.958806 + 0.284062i \(0.0916823\pi\)
−0.958806 + 0.284062i \(0.908318\pi\)
\(42\) 2.32558 + 7.83564i 0.358845 + 1.20907i
\(43\) 1.52133 1.52133i 0.232001 0.232001i −0.581526 0.813528i \(-0.697544\pi\)
0.813528 + 0.581526i \(0.197544\pi\)
\(44\) −0.00329918 −0.000497370
\(45\) 2.65911 6.15866i 0.396397 0.918079i
\(46\) −1.82298 −0.268783
\(47\) 2.07305 2.07305i 0.302386 0.302386i −0.539561 0.841947i \(-0.681410\pi\)
0.841947 + 0.539561i \(0.181410\pi\)
\(48\) −0.492817 1.66046i −0.0711320 0.239667i
\(49\) 15.2685i 2.18122i
\(50\) 1.88688 + 4.63030i 0.266845 + 0.654824i
\(51\) 10.6660 + 5.78381i 1.49354 + 0.809895i
\(52\) −1.14909 1.14909i −0.159350 0.159350i
\(53\) −5.97702 5.97702i −0.821007 0.821007i 0.165245 0.986252i \(-0.447158\pi\)
−0.986252 + 0.165245i \(0.947158\pi\)
\(54\) 5.17947 0.415995i 0.704837 0.0566098i
\(55\) 0.00408093 + 0.00614564i 0.000550272 + 0.000828678i
\(56\) 4.71896i 0.630597i
\(57\) 1.66046 0.492817i 0.219933 0.0652752i
\(58\) 1.35622 1.35622i 0.178080 0.178080i
\(59\) −11.8886 −1.54776 −0.773882 0.633330i \(-0.781688\pi\)
−0.773882 + 0.633330i \(0.781688\pi\)
\(60\) −2.48348 + 2.97192i −0.320616 + 0.383674i
\(61\) −1.95331 −0.250096 −0.125048 0.992151i \(-0.539908\pi\)
−0.125048 + 0.992151i \(0.539908\pi\)
\(62\) 2.46881 2.46881i 0.313539 0.313539i
\(63\) 13.8506 + 2.92857i 1.74502 + 0.368965i
\(64\) 1.00000i 0.125000i
\(65\) −0.719129 + 3.56186i −0.0891970 + 0.441795i
\(66\) −0.00272396 + 0.00502332i −0.000335297 + 0.000618328i
\(67\) −5.56623 5.56623i −0.680024 0.680024i 0.279982 0.960005i \(-0.409672\pi\)
−0.960005 + 0.279982i \(0.909672\pi\)
\(68\) −4.95340 4.95340i −0.600688 0.600688i
\(69\) −1.50514 + 2.77566i −0.181198 + 0.334150i
\(70\) −8.79037 + 5.83713i −1.05065 + 0.697670i
\(71\) 3.22989i 0.383318i 0.981462 + 0.191659i \(0.0613867\pi\)
−0.981462 + 0.191659i \(0.938613\pi\)
\(72\) −2.93511 0.620596i −0.345906 0.0731380i
\(73\) 10.3760 10.3760i 1.21442 1.21442i 0.244868 0.969556i \(-0.421255\pi\)
0.969556 0.244868i \(-0.0787447\pi\)
\(74\) 9.49246 1.10348
\(75\) 8.60799 + 0.950048i 0.993965 + 0.109702i
\(76\) −1.00000 −0.114708
\(77\) −0.0110087 + 0.0110087i −0.00125456 + 0.00125456i
\(78\) −2.69834 + 0.800855i −0.305527 + 0.0906790i
\(79\) 12.5069i 1.40714i −0.710625 0.703570i \(-0.751588\pi\)
0.710625 0.703570i \(-0.248412\pi\)
\(80\) 1.86278 1.23695i 0.208265 0.138296i
\(81\) 3.64303 8.22972i 0.404782 0.914413i
\(82\) −2.57229 2.57229i −0.284062 0.284062i
\(83\) −9.29959 9.29959i −1.02076 1.02076i −0.999780 0.0209831i \(-0.993320\pi\)
−0.0209831 0.999780i \(-0.506680\pi\)
\(84\) −7.18507 3.89620i −0.783955 0.425110i
\(85\) −3.09997 + 15.3542i −0.336238 + 1.66540i
\(86\) 2.15149i 0.232001i
\(87\) −0.945213 3.18473i −0.101338 0.341439i
\(88\) 0.00233287 0.00233287i 0.000248685 0.000248685i
\(89\) 6.59825 0.699413 0.349706 0.936859i \(-0.386281\pi\)
0.349706 + 0.936859i \(0.386281\pi\)
\(90\) 2.47456 + 6.23511i 0.260841 + 0.657238i
\(91\) −7.66856 −0.803884
\(92\) 1.28904 1.28904i 0.134392 0.134392i
\(93\) −1.72063 5.79738i −0.178421 0.601160i
\(94\) 2.93174i 0.302386i
\(95\) 1.23695 + 1.86278i 0.126909 + 0.191117i
\(96\) 1.52260 + 0.825649i 0.155399 + 0.0842675i
\(97\) 7.72270 + 7.72270i 0.784121 + 0.784121i 0.980523 0.196402i \(-0.0629258\pi\)
−0.196402 + 0.980523i \(0.562926\pi\)
\(98\) −10.7965 10.7965i −1.09061 1.09061i
\(99\) 0.00539946 + 0.00829500i 0.000542666 + 0.000833679i
\(100\) −4.60834 1.93989i −0.460834 0.193989i
\(101\) 16.1869i 1.61066i 0.592826 + 0.805330i \(0.298012\pi\)
−0.592826 + 0.805330i \(0.701988\pi\)
\(102\) −11.6318 + 3.45226i −1.15172 + 0.341825i
\(103\) 0.233618 0.233618i 0.0230191 0.0230191i −0.695504 0.718523i \(-0.744819\pi\)
0.718523 + 0.695504i \(0.244819\pi\)
\(104\) 1.62506 0.159350
\(105\) 1.62983 + 18.2036i 0.159055 + 1.77649i
\(106\) 8.45278 0.821007
\(107\) −13.2302 + 13.2302i −1.27901 + 1.27901i −0.337791 + 0.941221i \(0.609680\pi\)
−0.941221 + 0.337791i \(0.890320\pi\)
\(108\) −3.36829 + 3.95659i −0.324114 + 0.380723i
\(109\) 15.5455i 1.48899i −0.667628 0.744495i \(-0.732690\pi\)
0.667628 0.744495i \(-0.267310\pi\)
\(110\) −0.00723128 0.00145997i −0.000689475 0.000139203i
\(111\) 7.83744 14.4532i 0.743897 1.37184i
\(112\) 3.33681 + 3.33681i 0.315298 + 0.315298i
\(113\) −0.674324 0.674324i −0.0634351 0.0634351i 0.674678 0.738113i \(-0.264283\pi\)
−0.738113 + 0.674678i \(0.764283\pi\)
\(114\) −0.825649 + 1.52260i −0.0773291 + 0.142604i
\(115\) −3.99568 0.806715i −0.372599 0.0752265i
\(116\) 1.91798i 0.178080i
\(117\) −1.00850 + 4.76971i −0.0932362 + 0.440960i
\(118\) 8.40651 8.40651i 0.773882 0.773882i
\(119\) −33.0570 −3.03033
\(120\) −0.345380 3.85755i −0.0315287 0.352145i
\(121\) 11.0000 0.999999
\(122\) 1.38120 1.38120i 0.125048 0.125048i
\(123\) −6.04038 + 1.79276i −0.544643 + 0.161647i
\(124\) 3.49143i 0.313539i
\(125\) 2.08671 + 10.9839i 0.186641 + 0.982428i
\(126\) −11.8647 + 7.72308i −1.05699 + 0.688026i
\(127\) 0.324072 + 0.324072i 0.0287567 + 0.0287567i 0.721339 0.692582i \(-0.243527\pi\)
−0.692582 + 0.721339i \(0.743527\pi\)
\(128\) −0.707107 0.707107i −0.0625000 0.0625000i
\(129\) 3.27586 + 1.77638i 0.288423 + 0.156401i
\(130\) −2.01012 3.02712i −0.176299 0.265496i
\(131\) 15.9941i 1.39741i −0.715409 0.698706i \(-0.753760\pi\)
0.715409 0.698706i \(-0.246240\pi\)
\(132\) −0.00162589 0.00547816i −0.000141516 0.000476812i
\(133\) −3.33681 + 3.33681i −0.289338 + 0.289338i
\(134\) 7.87184 0.680024
\(135\) 11.5367 + 1.38026i 0.992919 + 0.118793i
\(136\) 7.00516 0.600688
\(137\) −4.73854 + 4.73854i −0.404841 + 0.404841i −0.879935 0.475094i \(-0.842414\pi\)
0.475094 + 0.879935i \(0.342414\pi\)
\(138\) −0.898394 3.02698i −0.0764764 0.257674i
\(139\) 21.0400i 1.78459i 0.451454 + 0.892294i \(0.350905\pi\)
−0.451454 + 0.892294i \(0.649095\pi\)
\(140\) 2.08826 10.3432i 0.176490 0.874160i
\(141\) 4.46386 + 2.42059i 0.375925 + 0.203850i
\(142\) −2.28388 2.28388i −0.191659 0.191659i
\(143\) −0.00379104 0.00379104i −0.000317023 0.000317023i
\(144\) 2.51426 1.63661i 0.209522 0.136384i
\(145\) 3.57277 2.37245i 0.296703 0.197021i
\(146\) 14.6739i 1.21442i
\(147\) −25.3528 + 7.52460i −2.09107 + 0.620618i
\(148\) −6.71219 + 6.71219i −0.551738 + 0.551738i
\(149\) −9.46498 −0.775402 −0.387701 0.921785i \(-0.626731\pi\)
−0.387701 + 0.921785i \(0.626731\pi\)
\(150\) −6.75855 + 5.41498i −0.551833 + 0.442131i
\(151\) −11.5421 −0.939279 −0.469639 0.882858i \(-0.655616\pi\)
−0.469639 + 0.882858i \(0.655616\pi\)
\(152\) 0.707107 0.707107i 0.0573539 0.0573539i
\(153\) −4.34738 + 20.5609i −0.351465 + 1.66225i
\(154\) 0.0155687i 0.00125456i
\(155\) 6.50376 4.31873i 0.522394 0.346889i
\(156\) 1.34173 2.47431i 0.107424 0.198103i
\(157\) −8.81673 8.81673i −0.703651 0.703651i 0.261541 0.965192i \(-0.415769\pi\)
−0.965192 + 0.261541i \(0.915769\pi\)
\(158\) 8.84374 + 8.84374i 0.703570 + 0.703570i
\(159\) 6.97903 12.8702i 0.553473 1.02067i
\(160\) −0.442526 + 2.19184i −0.0349847 + 0.173280i
\(161\) 8.60255i 0.677976i
\(162\) 3.24328 + 8.39531i 0.254816 + 0.659597i
\(163\) 1.80955 1.80955i 0.141735 0.141735i −0.632679 0.774414i \(-0.718045\pi\)
0.774414 + 0.632679i \(0.218045\pi\)
\(164\) 3.63777 0.284062
\(165\) −0.00819345 + 0.00980490i −0.000637859 + 0.000763311i
\(166\) 13.1516 1.02076
\(167\) −10.1823 + 10.1823i −0.787928 + 0.787928i −0.981154 0.193226i \(-0.938105\pi\)
0.193226 + 0.981154i \(0.438105\pi\)
\(168\) 7.83564 2.32558i 0.604533 0.179423i
\(169\) 10.3592i 0.796861i
\(170\) −8.66506 13.0491i −0.664580 1.00082i
\(171\) 1.63661 + 2.51426i 0.125154 + 0.192270i
\(172\) −1.52133 1.52133i −0.116001 0.116001i
\(173\) 4.12383 + 4.12383i 0.313529 + 0.313529i 0.846275 0.532746i \(-0.178840\pi\)
−0.532746 + 0.846275i \(0.678840\pi\)
\(174\) 2.92031 + 1.58358i 0.221388 + 0.120051i
\(175\) −21.8502 + 8.90409i −1.65172 + 0.673086i
\(176\) 0.00329918i 0.000248685i
\(177\) −5.85890 19.7406i −0.440382 1.48379i
\(178\) −4.66567 + 4.66567i −0.349706 + 0.349706i
\(179\) 1.74920 0.130741 0.0653706 0.997861i \(-0.479177\pi\)
0.0653706 + 0.997861i \(0.479177\pi\)
\(180\) −6.15866 2.65911i −0.459040 0.198198i
\(181\) −16.8570 −1.25297 −0.626485 0.779434i \(-0.715507\pi\)
−0.626485 + 0.779434i \(0.715507\pi\)
\(182\) 5.42249 5.42249i 0.401942 0.401942i
\(183\) −0.962624 3.24339i −0.0711592 0.239759i
\(184\) 1.82298i 0.134392i
\(185\) 20.8060 + 4.20066i 1.52969 + 0.308839i
\(186\) 5.31604 + 2.88269i 0.389791 + 0.211369i
\(187\) −0.0163421 0.0163421i −0.00119506 0.00119506i
\(188\) −2.07305 2.07305i −0.151193 0.151193i
\(189\) 1.96306 + 24.4417i 0.142792 + 1.77787i
\(190\) −2.19184 0.442526i −0.159013 0.0321042i
\(191\) 2.59256i 0.187591i 0.995591 + 0.0937954i \(0.0299000\pi\)
−0.995591 + 0.0937954i \(0.970100\pi\)
\(192\) −1.66046 + 0.492817i −0.119833 + 0.0355660i
\(193\) −1.18301 + 1.18301i −0.0851547 + 0.0851547i −0.748401 0.663246i \(-0.769178\pi\)
0.663246 + 0.748401i \(0.269178\pi\)
\(194\) −10.9215 −0.784121
\(195\) −6.26874 + 0.561262i −0.448913 + 0.0401928i
\(196\) 15.2685 1.09061
\(197\) 7.67888 7.67888i 0.547097 0.547097i −0.378503 0.925600i \(-0.623561\pi\)
0.925600 + 0.378503i \(0.123561\pi\)
\(198\) −0.00968345 0.00204746i −0.000688173 0.000145506i
\(199\) 8.22358i 0.582954i −0.956578 0.291477i \(-0.905853\pi\)
0.956578 0.291477i \(-0.0941467\pi\)
\(200\) 4.63030 1.88688i 0.327412 0.133422i
\(201\) 6.49938 11.9857i 0.458431 0.845403i
\(202\) −11.4459 11.4459i −0.805330 0.805330i
\(203\) 6.39993 + 6.39993i 0.449187 + 0.449187i
\(204\) 5.78381 10.6660i 0.404947 0.746772i
\(205\) −4.49975 6.77637i −0.314276 0.473282i
\(206\) 0.330386i 0.0230191i
\(207\) −5.35064 1.13133i −0.371895 0.0786331i
\(208\) −1.14909 + 1.14909i −0.0796749 + 0.0796749i
\(209\) −0.00329918 −0.000228209
\(210\) −14.0244 11.7194i −0.967773 0.808718i
\(211\) 14.8721 1.02384 0.511920 0.859033i \(-0.328934\pi\)
0.511920 + 0.859033i \(0.328934\pi\)
\(212\) −5.97702 + 5.97702i −0.410503 + 0.410503i
\(213\) −5.36311 + 1.59175i −0.367474 + 0.109065i
\(214\) 18.7103i 1.27901i
\(215\) −0.952091 + 4.71573i −0.0649320 + 0.321610i
\(216\) −0.415995 5.17947i −0.0283049 0.352419i
\(217\) 11.6502 + 11.6502i 0.790868 + 0.790868i
\(218\) 10.9923 + 10.9923i 0.744495 + 0.744495i
\(219\) 22.3425 + 12.1155i 1.50977 + 0.818692i
\(220\) 0.00614564 0.00408093i 0.000414339 0.000275136i
\(221\) 11.3838i 0.765756i
\(222\) 4.67805 + 15.7619i 0.313970 + 1.05787i
\(223\) −4.56460 + 4.56460i −0.305668 + 0.305668i −0.843227 0.537558i \(-0.819347\pi\)
0.537558 + 0.843227i \(0.319347\pi\)
\(224\) −4.71896 −0.315298
\(225\) 2.66464 + 14.7614i 0.177643 + 0.984095i
\(226\) 0.953638 0.0634351
\(227\) 8.94878 8.94878i 0.593952 0.593952i −0.344745 0.938696i \(-0.612035\pi\)
0.938696 + 0.344745i \(0.112035\pi\)
\(228\) −0.492817 1.66046i −0.0326376 0.109967i
\(229\) 15.6381i 1.03339i −0.856169 0.516696i \(-0.827162\pi\)
0.856169 0.516696i \(-0.172838\pi\)
\(230\) 3.39580 2.25494i 0.223913 0.148686i
\(231\) −0.0237048 0.0128543i −0.00155966 0.000845748i
\(232\) −1.35622 1.35622i −0.0890400 0.0890400i
\(233\) 11.5507 + 11.5507i 0.756711 + 0.756711i 0.975722 0.219012i \(-0.0702833\pi\)
−0.219012 + 0.975722i \(0.570283\pi\)
\(234\) −2.65958 4.08582i −0.173862 0.267098i
\(235\) −1.29737 + 6.42592i −0.0846312 + 0.419181i
\(236\) 11.8886i 0.773882i
\(237\) 20.7673 6.16363i 1.34898 0.400371i
\(238\) 23.3749 23.3749i 1.51517 1.51517i
\(239\) 10.3774 0.671261 0.335631 0.941994i \(-0.391051\pi\)
0.335631 + 0.941994i \(0.391051\pi\)
\(240\) 2.97192 + 2.48348i 0.191837 + 0.160308i
\(241\) 14.4062 0.927988 0.463994 0.885838i \(-0.346416\pi\)
0.463994 + 0.885838i \(0.346416\pi\)
\(242\) −7.77817 + 7.77817i −0.500000 + 0.500000i
\(243\) 15.4605 + 1.99337i 0.991790 + 0.127875i
\(244\) 1.95331i 0.125048i
\(245\) −18.8865 28.4419i −1.20661 1.81709i
\(246\) 3.00352 5.53886i 0.191498 0.353145i
\(247\) −1.14909 1.14909i −0.0731147 0.0731147i
\(248\) −2.46881 2.46881i −0.156770 0.156770i
\(249\) 10.8586 20.0246i 0.688137 1.26901i
\(250\) −9.24230 6.29125i −0.584535 0.397894i
\(251\) 20.7089i 1.30713i −0.756869 0.653567i \(-0.773272\pi\)
0.756869 0.653567i \(-0.226728\pi\)
\(252\) 2.92857 13.8506i 0.184482 0.872509i
\(253\) 0.00425277 0.00425277i 0.000267370 0.000267370i
\(254\) −0.458306 −0.0287567
\(255\) −27.0228 + 2.41944i −1.69223 + 0.151511i
\(256\) 1.00000 0.0625000
\(257\) −7.24360 + 7.24360i −0.451843 + 0.451843i −0.895966 0.444123i \(-0.853515\pi\)
0.444123 + 0.895966i \(0.353515\pi\)
\(258\) −3.57247 + 1.06029i −0.222412 + 0.0660109i
\(259\) 44.7945i 2.78340i
\(260\) 3.56186 + 0.719129i 0.220897 + 0.0445985i
\(261\) 4.82231 3.13898i 0.298493 0.194298i
\(262\) 11.3095 + 11.3095i 0.698706 + 0.698706i
\(263\) −1.90123 1.90123i −0.117235 0.117235i 0.646056 0.763290i \(-0.276417\pi\)
−0.763290 + 0.646056i \(0.776417\pi\)
\(264\) 0.00502332 + 0.00272396i 0.000309164 + 0.000167648i
\(265\) 18.5272 + 3.74058i 1.13811 + 0.229782i
\(266\) 4.71896i 0.289338i
\(267\) 3.25173 + 10.9561i 0.199003 + 0.670505i
\(268\) −5.56623 + 5.56623i −0.340012 + 0.340012i
\(269\) 21.4029 1.30496 0.652480 0.757806i \(-0.273729\pi\)
0.652480 + 0.757806i \(0.273729\pi\)
\(270\) −9.13365 + 7.18167i −0.555856 + 0.437063i
\(271\) 4.88606 0.296807 0.148404 0.988927i \(-0.452587\pi\)
0.148404 + 0.988927i \(0.452587\pi\)
\(272\) −4.95340 + 4.95340i −0.300344 + 0.300344i
\(273\) −3.77920 12.7334i −0.228727 0.770657i
\(274\) 6.70131i 0.404841i
\(275\) −0.0152037 0.00640005i −0.000916820 0.000385938i
\(276\) 2.77566 + 1.50514i 0.167075 + 0.0905988i
\(277\) 16.6272 + 16.6272i 0.999031 + 0.999031i 1.00000 0.000968978i \(-0.000308435\pi\)
−0.000968978 1.00000i \(0.500308\pi\)
\(278\) −14.8775 14.8775i −0.892294 0.892294i
\(279\) 8.77836 5.71409i 0.525547 0.342094i
\(280\) 5.83713 + 8.79037i 0.348835 + 0.525325i
\(281\) 7.94326i 0.473855i 0.971527 + 0.236928i \(0.0761404\pi\)
−0.971527 + 0.236928i \(0.923860\pi\)
\(282\) −4.86804 + 1.44481i −0.289888 + 0.0860373i
\(283\) −8.91351 + 8.91351i −0.529853 + 0.529853i −0.920529 0.390675i \(-0.872242\pi\)
0.390675 + 0.920529i \(0.372242\pi\)
\(284\) 3.22989 0.191659
\(285\) −2.48348 + 2.97192i −0.147109 + 0.176041i
\(286\) 0.00536135 0.000317023
\(287\) 12.1385 12.1385i 0.716515 0.716515i
\(288\) −0.620596 + 2.93511i −0.0365690 + 0.172953i
\(289\) 32.0723i 1.88661i
\(290\) −0.848756 + 4.20391i −0.0498407 + 0.246862i
\(291\) −9.01736 + 16.6291i −0.528607 + 0.974816i
\(292\) −10.3760 10.3760i −0.607212 0.607212i
\(293\) −14.7740 14.7740i −0.863104 0.863104i 0.128593 0.991697i \(-0.458954\pi\)
−0.991697 + 0.128593i \(0.958954\pi\)
\(294\) 12.6065 23.2478i 0.735223 1.35584i
\(295\) 22.1458 14.7056i 1.28938 0.856196i
\(296\) 9.49246i 0.551738i
\(297\) −0.0111126 + 0.0130535i −0.000644817 + 0.000757441i
\(298\) 6.69275 6.69275i 0.387701 0.387701i
\(299\) 2.96244 0.171322
\(300\) 0.950048 8.60799i 0.0548511 0.496982i
\(301\) −10.1528 −0.585197
\(302\) 8.16146 8.16146i 0.469639 0.469639i
\(303\) −26.8778 + 7.97720i −1.54409 + 0.458278i
\(304\) 1.00000i 0.0573539i
\(305\) 3.63858 2.41615i 0.208345 0.138348i
\(306\) −11.4647 17.6128i −0.655393 1.00686i
\(307\) −20.3918 20.3918i −1.16382 1.16382i −0.983632 0.180188i \(-0.942329\pi\)
−0.180188 0.983632i \(-0.557671\pi\)
\(308\) 0.0110087 + 0.0110087i 0.000627280 + 0.000627280i
\(309\) 0.503045 + 0.272783i 0.0286172 + 0.0155181i
\(310\) −1.54505 + 7.65265i −0.0877527 + 0.434642i
\(311\) 6.29224i 0.356800i −0.983958 0.178400i \(-0.942908\pi\)
0.983958 0.178400i \(-0.0570921\pi\)
\(312\) 0.800855 + 2.69834i 0.0453395 + 0.152763i
\(313\) 5.94003 5.94003i 0.335750 0.335750i −0.519015 0.854765i \(-0.673701\pi\)
0.854765 + 0.519015i \(0.173701\pi\)
\(314\) 12.4687 0.703651
\(315\) −29.4232 + 11.6773i −1.65781 + 0.657943i
\(316\) −12.5069 −0.703570
\(317\) 12.9036 12.9036i 0.724736 0.724736i −0.244830 0.969566i \(-0.578732\pi\)
0.969566 + 0.244830i \(0.0787321\pi\)
\(318\) 4.16568 + 14.0355i 0.233600 + 0.787073i
\(319\) 0.00632776i 0.000354287i
\(320\) −1.23695 1.86278i −0.0691478 0.104133i
\(321\) −28.4883 15.4482i −1.59006 0.862233i
\(322\) 6.08292 + 6.08292i 0.338988 + 0.338988i
\(323\) −4.95340 4.95340i −0.275614 0.275614i
\(324\) −8.22972 3.64303i −0.457207 0.202391i
\(325\) −3.06628 7.52450i −0.170087 0.417384i
\(326\) 2.55908i 0.141735i
\(327\) 25.8127 7.66110i 1.42745 0.423660i
\(328\) −2.57229 + 2.57229i −0.142031 + 0.142031i
\(329\) −13.8348 −0.762735
\(330\) −0.00113947 0.0127268i −6.27258e−5 0.000700585i
\(331\) −22.2824 −1.22475 −0.612376 0.790567i \(-0.709786\pi\)
−0.612376 + 0.790567i \(0.709786\pi\)
\(332\) −9.29959 + 9.29959i −0.510381 + 0.510381i
\(333\) 27.8614 + 5.89099i 1.52680 + 0.322824i
\(334\) 14.3999i 0.787928i
\(335\) 17.2538 + 3.48349i 0.942678 + 0.190324i
\(336\) −3.89620 + 7.18507i −0.212555 + 0.391978i
\(337\) 19.0330 + 19.0330i 1.03679 + 1.03679i 0.999297 + 0.0374972i \(0.0119385\pi\)
0.0374972 + 0.999297i \(0.488061\pi\)
\(338\) −7.32506 7.32506i −0.398431 0.398431i
\(339\) 0.787371 1.45201i 0.0427641 0.0788622i
\(340\) 15.3542 + 3.09997i 0.832699 + 0.168119i
\(341\) 0.0115188i 0.000623780i
\(342\) −2.93511 0.620596i −0.158712 0.0335580i
\(343\) 27.5905 27.5905i 1.48975 1.48975i
\(344\) 2.15149 0.116001
\(345\) −0.629620 7.03223i −0.0338976 0.378603i
\(346\) −5.83198 −0.313529
\(347\) 2.64462 2.64462i 0.141971 0.141971i −0.632549 0.774520i \(-0.717991\pi\)
0.774520 + 0.632549i \(0.217991\pi\)
\(348\) −3.18473 + 0.945213i −0.170720 + 0.0506688i
\(349\) 27.9124i 1.49412i 0.664758 + 0.747059i \(0.268535\pi\)
−0.664758 + 0.747059i \(0.731465\pi\)
\(350\) 9.15427 21.7466i 0.489316 1.16240i
\(351\) −8.41693 + 0.676015i −0.449263 + 0.0360830i
\(352\) −0.00233287 0.00233287i −0.000124342 0.000124342i
\(353\) −3.63692 3.63692i −0.193574 0.193574i 0.603665 0.797238i \(-0.293707\pi\)
−0.797238 + 0.603665i \(0.793707\pi\)
\(354\) 18.1016 + 9.81581i 0.962087 + 0.521705i
\(355\) −3.99523 6.01658i −0.212045 0.319327i
\(356\) 6.59825i 0.349706i
\(357\) −16.2911 54.8899i −0.862215 2.90508i
\(358\) −1.23687 + 1.23687i −0.0653706 + 0.0653706i
\(359\) −19.0031 −1.00295 −0.501473 0.865173i \(-0.667208\pi\)
−0.501473 + 0.865173i \(0.667208\pi\)
\(360\) 6.23511 2.47456i 0.328619 0.130421i
\(361\) −1.00000 −0.0526316
\(362\) 11.9197 11.9197i 0.626485 0.626485i
\(363\) 5.42098 + 18.2651i 0.284528 + 0.958667i
\(364\) 7.66856i 0.401942i
\(365\) −6.49360 + 32.1630i −0.339891 + 1.68349i
\(366\) 2.97410 + 1.61275i 0.155459 + 0.0842997i
\(367\) 3.36608 + 3.36608i 0.175708 + 0.175708i 0.789482 0.613774i \(-0.210349\pi\)
−0.613774 + 0.789482i \(0.710349\pi\)
\(368\) −1.28904 1.28904i −0.0671958 0.0671958i
\(369\) −5.95360 9.14632i −0.309932 0.476138i
\(370\) −17.6824 + 11.7417i −0.919262 + 0.610424i
\(371\) 39.8883i 2.07090i
\(372\) −5.79738 + 1.72063i −0.300580 + 0.0892107i
\(373\) 4.67503 4.67503i 0.242064 0.242064i −0.575640 0.817704i \(-0.695247\pi\)
0.817704 + 0.575640i \(0.195247\pi\)
\(374\) 0.0231113 0.00119506
\(375\) −17.2099 + 8.87794i −0.888718 + 0.458455i
\(376\) 2.93174 0.151193
\(377\) −2.20393 + 2.20393i −0.113508 + 0.113508i
\(378\) −18.6710 15.8948i −0.960332 0.817540i
\(379\) 6.60335i 0.339191i 0.985514 + 0.169596i \(0.0542461\pi\)
−0.985514 + 0.169596i \(0.945754\pi\)
\(380\) 1.86278 1.23695i 0.0955586 0.0634544i
\(381\) −0.378400 + 0.697816i −0.0193860 + 0.0357502i
\(382\) −1.83322 1.83322i −0.0937954 0.0937954i
\(383\) −14.4355 14.4355i −0.737619 0.737619i 0.234498 0.972117i \(-0.424655\pi\)
−0.972117 + 0.234498i \(0.924655\pi\)
\(384\) 0.825649 1.52260i 0.0421337 0.0776997i
\(385\) 0.00688954 0.0341241i 0.000351124 0.00173912i
\(386\) 1.67302i 0.0851547i
\(387\) −1.33521 + 6.31486i −0.0678724 + 0.321002i
\(388\) 7.72270 7.72270i 0.392061 0.392061i
\(389\) 0.566176 0.0287063 0.0143531 0.999897i \(-0.495431\pi\)
0.0143531 + 0.999897i \(0.495431\pi\)
\(390\) 4.03579 4.82954i 0.204360 0.244553i
\(391\) 12.7703 0.645819
\(392\) −10.7965 + 10.7965i −0.545305 + 0.545305i
\(393\) 26.5576 7.88217i 1.33965 0.397603i
\(394\) 10.8596i 0.547097i
\(395\) 15.4705 + 23.2977i 0.778405 + 1.17223i
\(396\) 0.00829500 0.00539946i 0.000416840 0.000271333i
\(397\) 11.0271 + 11.0271i 0.553436 + 0.553436i 0.927431 0.373995i \(-0.122012\pi\)
−0.373995 + 0.927431i \(0.622012\pi\)
\(398\) 5.81495 + 5.81495i 0.291477 + 0.291477i
\(399\) −7.18507 3.89620i −0.359703 0.195054i
\(400\) −1.93989 + 4.60834i −0.0969947 + 0.230417i
\(401\) 33.0910i 1.65249i 0.563313 + 0.826243i \(0.309526\pi\)
−0.563313 + 0.826243i \(0.690474\pi\)
\(402\) 3.87938 + 13.0709i 0.193486 + 0.651917i
\(403\) −4.01195 + 4.01195i −0.199850 + 0.199850i
\(404\) 16.1869 0.805330
\(405\) 3.39361 + 19.8364i 0.168630 + 0.985679i
\(406\) −9.05086 −0.449187
\(407\) −0.0221447 + 0.0221447i −0.00109767 + 0.00109767i
\(408\) 3.45226 + 11.6318i 0.170912 + 0.575860i
\(409\) 26.2274i 1.29686i −0.761274 0.648430i \(-0.775426\pi\)
0.761274 0.648430i \(-0.224574\pi\)
\(410\) 7.97342 + 1.60981i 0.393779 + 0.0795028i
\(411\) −10.2034 5.53293i −0.503296 0.272919i
\(412\) −0.233618 0.233618i −0.0115095 0.0115095i
\(413\) 39.6699 + 39.6699i 1.95203 + 1.95203i
\(414\) 4.58344 2.98350i 0.225264 0.146631i
\(415\) 28.8262 + 5.81993i 1.41502 + 0.285689i
\(416\) 1.62506i 0.0796749i
\(417\) −34.9361 + 10.3689i −1.71083 + 0.507765i
\(418\) 0.00233287 0.00233287i 0.000114104 0.000114104i
\(419\) −16.7418 −0.817888 −0.408944 0.912559i \(-0.634103\pi\)
−0.408944 + 0.912559i \(0.634103\pi\)
\(420\) 18.2036 1.62983i 0.888246 0.0795277i
\(421\) 20.3487 0.991734 0.495867 0.868399i \(-0.334850\pi\)
0.495867 + 0.868399i \(0.334850\pi\)
\(422\) −10.5162 + 10.5162i −0.511920 + 0.511920i
\(423\) −1.81943 + 8.60498i −0.0884636 + 0.418389i
\(424\) 8.45278i 0.410503i
\(425\) −13.2179 32.4360i −0.641162 1.57338i
\(426\) 2.66676 4.91783i 0.129205 0.238269i
\(427\) 6.51781 + 6.51781i 0.315419 + 0.315419i
\(428\) 13.2302 + 13.2302i 0.639506 + 0.639506i
\(429\) 0.00442659 0.00816317i 0.000213718 0.000394122i
\(430\) −2.66129 4.00775i −0.128339 0.193271i
\(431\) 37.8255i 1.82199i 0.412418 + 0.910995i \(0.364684\pi\)
−0.412418 + 0.910995i \(0.635316\pi\)
\(432\) 3.95659 + 3.36829i 0.190362 + 0.162057i
\(433\) 3.73358 3.73358i 0.179424 0.179424i −0.611681 0.791105i \(-0.709506\pi\)
0.791105 + 0.611681i \(0.209506\pi\)
\(434\) −16.4759 −0.790868
\(435\) 5.70009 + 4.76327i 0.273298 + 0.228381i
\(436\) −15.5455 −0.744495
\(437\) 1.28904 1.28904i 0.0616631 0.0616631i
\(438\) −24.3655 + 7.23157i −1.16423 + 0.345538i
\(439\) 9.80030i 0.467743i 0.972268 + 0.233871i \(0.0751395\pi\)
−0.972268 + 0.233871i \(0.924861\pi\)
\(440\) −0.00145997 + 0.00723128i −6.96014e−5 + 0.000344738i
\(441\) −24.9886 38.3891i −1.18993 1.82805i
\(442\) 8.04954 + 8.04954i 0.382878 + 0.382878i
\(443\) 7.47230 + 7.47230i 0.355020 + 0.355020i 0.861973 0.506954i \(-0.169228\pi\)
−0.506954 + 0.861973i \(0.669228\pi\)
\(444\) −14.4532 7.83744i −0.685919 0.371949i
\(445\) −12.2911 + 8.16172i −0.582653 + 0.386903i
\(446\) 6.45532i 0.305668i
\(447\) −4.66451 15.7162i −0.220624 0.743353i
\(448\) 3.33681 3.33681i 0.157649 0.157649i
\(449\) 21.7175 1.02491 0.512456 0.858714i \(-0.328736\pi\)
0.512456 + 0.858714i \(0.328736\pi\)
\(450\) −12.3221 8.55372i −0.580869 0.403226i
\(451\) 0.0120017 0.000565136
\(452\) −0.674324 + 0.674324i −0.0317175 + 0.0317175i
\(453\) −5.68812 19.1651i −0.267251 0.900456i
\(454\) 12.6555i 0.593952i
\(455\) 14.2848 9.48565i 0.669684 0.444694i
\(456\) 1.52260 + 0.825649i 0.0713022 + 0.0386646i
\(457\) 15.9122 + 15.9122i 0.744341 + 0.744341i 0.973410 0.229069i \(-0.0735683\pi\)
−0.229069 + 0.973410i \(0.573568\pi\)
\(458\) 11.0578 + 11.0578i 0.516696 + 0.516696i
\(459\) −36.2831 + 2.91411i −1.69355 + 0.136019i
\(460\) −0.806715 + 3.99568i −0.0376133 + 0.186299i
\(461\) 38.4951i 1.79289i −0.443151 0.896447i \(-0.646140\pi\)
0.443151 0.896447i \(-0.353860\pi\)
\(462\) 0.0258512 0.00767251i 0.00120271 0.000356957i
\(463\) 10.3976 10.3976i 0.483219 0.483219i −0.422939 0.906158i \(-0.639002\pi\)
0.906158 + 0.422939i \(0.139002\pi\)
\(464\) 1.91798 0.0890400
\(465\) 10.3762 + 8.67089i 0.481187 + 0.402103i
\(466\) −16.3351 −0.756711
\(467\) 15.9962 15.9962i 0.740216 0.740216i −0.232404 0.972619i \(-0.574659\pi\)
0.972619 + 0.232404i \(0.0746591\pi\)
\(468\) 4.76971 + 1.00850i 0.220480 + 0.0466181i
\(469\) 37.1469i 1.71528i
\(470\) −3.62643 5.46119i −0.167275 0.251906i
\(471\) 10.2948 18.9849i 0.474359 0.874776i
\(472\) −8.40651 8.40651i −0.386941 0.386941i
\(473\) −0.00501915 0.00501915i −0.000230781 0.000230781i
\(474\) −10.3263 + 19.0430i −0.474305 + 0.874676i
\(475\) −4.60834 1.93989i −0.211445 0.0890084i
\(476\) 33.0570i 1.51517i
\(477\) 24.8098 + 5.24577i 1.13596 + 0.240187i
\(478\) −7.33796 + 7.33796i −0.335631 + 0.335631i
\(479\) −14.7942 −0.675966 −0.337983 0.941152i \(-0.609745\pi\)
−0.337983 + 0.941152i \(0.609745\pi\)
\(480\) −3.85755 + 0.345380i −0.176072 + 0.0157644i
\(481\) −15.4258 −0.703355
\(482\) −10.1868 + 10.1868i −0.463994 + 0.463994i
\(483\) 14.2842 4.23948i 0.649954 0.192903i
\(484\) 11.0000i 0.500000i
\(485\) −23.9383 4.83307i −1.08698 0.219458i
\(486\) −12.3417 + 9.52268i −0.559833 + 0.431958i
\(487\) 10.6497 + 10.6497i 0.482584 + 0.482584i 0.905956 0.423372i \(-0.139154\pi\)
−0.423372 + 0.905956i \(0.639154\pi\)
\(488\) −1.38120 1.38120i −0.0625239 0.0625239i
\(489\) 3.89646 + 2.11291i 0.176204 + 0.0955489i
\(490\) 33.4662 + 6.75672i 1.51185 + 0.305238i
\(491\) 18.0717i 0.815564i 0.913079 + 0.407782i \(0.133698\pi\)
−0.913079 + 0.407782i \(0.866302\pi\)
\(492\) 1.79276 + 6.04038i 0.0808237 + 0.272321i
\(493\) −9.50052 + 9.50052i −0.427882 + 0.427882i
\(494\) 1.62506 0.0731147
\(495\) −0.0203185 0.00877288i −0.000913250 0.000394312i
\(496\) 3.49143 0.156770
\(497\) 10.7775 10.7775i 0.483438 0.483438i
\(498\) 6.48134 + 21.8377i 0.290436 + 0.978572i
\(499\) 19.9749i 0.894200i 0.894484 + 0.447100i \(0.147543\pi\)
−0.894484 + 0.447100i \(0.852457\pi\)
\(500\) 10.9839 2.08671i 0.491214 0.0933205i
\(501\) −21.9253 11.8893i −0.979548 0.531173i
\(502\) 14.6434 + 14.6434i 0.653567 + 0.653567i
\(503\) −12.9225 12.9225i −0.576187 0.576187i 0.357664 0.933850i \(-0.383573\pi\)
−0.933850 + 0.357664i \(0.883573\pi\)
\(504\) 7.72308 + 11.8647i 0.344013 + 0.528495i
\(505\) −20.0225 30.1527i −0.890989 1.34178i
\(506\) 0.00601433i 0.000267370i
\(507\) −17.2010 + 5.10519i −0.763925 + 0.226729i
\(508\) 0.324072 0.324072i 0.0143783 0.0143783i
\(509\) −19.0740 −0.845441 −0.422721 0.906260i \(-0.638925\pi\)
−0.422721 + 0.906260i \(0.638925\pi\)
\(510\) 17.3972 20.8188i 0.770360 0.921872i
\(511\) −69.2457 −3.06325
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −3.36829 + 3.95659i −0.148714 + 0.174688i
\(514\) 10.2440i 0.451843i
\(515\) −0.146204 + 0.724153i −0.00644253 + 0.0319100i
\(516\) 1.77638 3.27586i 0.0782006 0.144212i
\(517\) −0.00683938 0.00683938i −0.000300796 0.000300796i
\(518\) −31.6745 31.6745i −1.39170 1.39170i
\(519\) −4.81517 + 8.87976i −0.211363 + 0.389778i
\(520\) −3.02712 + 2.01012i −0.132748 + 0.0881495i
\(521\) 20.0460i 0.878229i −0.898431 0.439115i \(-0.855292\pi\)
0.898431 0.439115i \(-0.144708\pi\)
\(522\) −1.19029 + 5.62948i −0.0520976 + 0.246396i
\(523\) 7.71687 7.71687i 0.337435 0.337435i −0.517966 0.855401i \(-0.673311\pi\)
0.855401 + 0.517966i \(0.173311\pi\)
\(524\) −15.9941 −0.698706
\(525\) −25.5530 31.8933i −1.11523 1.39194i
\(526\) 2.68875 0.117235
\(527\) −17.2944 + 17.2944i −0.753357 + 0.753357i
\(528\) −0.00547816 + 0.00162589i −0.000238406 + 7.07578e-5i
\(529\) 19.6768i 0.855511i
\(530\) −15.7457 + 10.4557i −0.683948 + 0.454167i
\(531\) 29.8911 19.4570i 1.29716 0.844360i
\(532\) 3.33681 + 3.33681i 0.144669 + 0.144669i
\(533\) 4.18012 + 4.18012i 0.181061 + 0.181061i
\(534\) −10.0465 5.44784i −0.434754 0.235751i
\(535\) 8.27981 41.0101i 0.357967 1.77302i
\(536\) 7.87184i 0.340012i
\(537\) 0.862035 + 2.90448i 0.0371996 + 0.125337i
\(538\) −15.1342 + 15.1342i −0.652480 + 0.652480i
\(539\) 0.0503736 0.00216975
\(540\) 1.38026 11.5367i 0.0593967 0.496459i
\(541\) 13.4099 0.576536 0.288268 0.957550i \(-0.406921\pi\)
0.288268 + 0.957550i \(0.406921\pi\)
\(542\) −3.45497 + 3.45497i −0.148404 + 0.148404i
\(543\) −8.30740 27.9904i −0.356505 1.20118i
\(544\) 7.00516i 0.300344i
\(545\) 19.2291 + 28.9579i 0.823683 + 1.24042i
\(546\) 11.6761 + 6.33154i 0.499692 + 0.270965i
\(547\) −6.28103 6.28103i −0.268557 0.268557i 0.559961 0.828519i \(-0.310816\pi\)
−0.828519 + 0.559961i \(0.810816\pi\)
\(548\) 4.73854 + 4.73854i 0.202420 + 0.202420i
\(549\) 4.91113 3.19680i 0.209602 0.136436i
\(550\) 0.0152762 0.00622515i 0.000651379 0.000265441i
\(551\) 1.91798i 0.0817087i
\(552\) −3.02698 + 0.898394i −0.128837 + 0.0382382i
\(553\) −41.7332 + 41.7332i −1.77468 + 1.77468i
\(554\) −23.5144 −0.999031
\(555\) 3.27851 + 36.6177i 0.139165 + 1.55433i
\(556\) 21.0400 0.892294
\(557\) 0.190340 0.190340i 0.00806496 0.00806496i −0.703063 0.711128i \(-0.748185\pi\)
0.711128 + 0.703063i \(0.248185\pi\)
\(558\) −2.16677 + 10.2477i −0.0917265 + 0.433820i
\(559\) 3.49629i 0.147877i
\(560\) −10.3432 2.08826i −0.437080 0.0882451i
\(561\) 0.0190818 0.0351892i 0.000805635 0.00148569i
\(562\) −5.61673 5.61673i −0.236928 0.236928i
\(563\) −26.9104 26.9104i −1.13414 1.13414i −0.989482 0.144658i \(-0.953792\pi\)
−0.144658 0.989482i \(-0.546208\pi\)
\(564\) 2.42059 4.46386i 0.101925 0.187963i
\(565\) 2.09022 + 0.422010i 0.0879364 + 0.0177541i
\(566\) 12.6056i 0.529853i
\(567\) −39.6171 + 15.3049i −1.66376 + 0.642744i
\(568\) −2.28388 + 2.28388i −0.0958294 + 0.0958294i
\(569\) −8.17866 −0.342867 −0.171434 0.985196i \(-0.554840\pi\)
−0.171434 + 0.985196i \(0.554840\pi\)
\(570\) −0.345380 3.85755i −0.0144664 0.161575i
\(571\) 45.6052 1.90852 0.954259 0.298982i \(-0.0966469\pi\)
0.954259 + 0.298982i \(0.0966469\pi\)
\(572\) −0.00379104 + 0.00379104i −0.000158512 + 0.000158512i
\(573\) −4.30484 + 1.27766i −0.179837 + 0.0533749i
\(574\) 17.1665i 0.716515i
\(575\) 8.44094 3.43974i 0.352011 0.143447i
\(576\) −1.63661 2.51426i −0.0681920 0.104761i
\(577\) −1.91976 1.91976i −0.0799205 0.0799205i 0.666016 0.745937i \(-0.267998\pi\)
−0.745937 + 0.666016i \(0.767998\pi\)
\(578\) 22.6785 + 22.6785i 0.943303 + 0.943303i
\(579\) −2.54734 1.38133i −0.105864 0.0574062i
\(580\) −2.37245 3.57277i −0.0985107 0.148351i
\(581\) 62.0619i 2.57476i
\(582\) −5.38232 18.1348i −0.223104 0.751712i
\(583\) −0.0197193 + 0.0197193i −0.000816688 + 0.000816688i
\(584\) 14.6739 0.607212
\(585\) −4.02129 10.1324i −0.166260 0.418923i
\(586\) 20.8935 0.863104
\(587\) 26.0323 26.0323i 1.07447 1.07447i 0.0774740 0.996994i \(-0.475315\pi\)
0.996994 0.0774740i \(-0.0246855\pi\)
\(588\) 7.52460 + 25.3528i 0.310309 + 1.04553i
\(589\) 3.49143i 0.143862i
\(590\) −5.26101 + 26.0579i −0.216592 + 1.07279i
\(591\) 16.5348 + 8.96620i 0.680149 + 0.368820i
\(592\) 6.71219 + 6.71219i 0.275869 + 0.275869i
\(593\) −11.6400 11.6400i −0.477997 0.477997i 0.426494 0.904490i \(-0.359749\pi\)
−0.904490 + 0.426494i \(0.859749\pi\)
\(594\) −0.00137244 0.0170880i −5.63120e−5 0.000701129i
\(595\) 61.5780 40.8900i 2.52445 1.67633i
\(596\) 9.46498i 0.387701i
\(597\) 13.6549 4.05272i 0.558860 0.165867i
\(598\) −2.09476 + 2.09476i −0.0856611 + 0.0856611i
\(599\) 11.6334 0.475328 0.237664 0.971347i \(-0.423618\pi\)
0.237664 + 0.971347i \(0.423618\pi\)
\(600\) 5.41498 + 6.75855i 0.221066 + 0.275917i
\(601\) −9.12827 −0.372350 −0.186175 0.982517i \(-0.559609\pi\)
−0.186175 + 0.982517i \(0.559609\pi\)
\(602\) 7.17911 7.17911i 0.292599 0.292599i
\(603\) 23.1047 + 4.88524i 0.940897 + 0.198942i
\(604\) 11.5421i 0.469639i
\(605\) −20.4906 + 13.6065i −0.833059 + 0.553182i
\(606\) 13.3647 24.6462i 0.542905 1.00118i
\(607\) −26.6678 26.6678i −1.08241 1.08241i −0.996284 0.0861303i \(-0.972550\pi\)
−0.0861303 0.996284i \(-0.527450\pi\)
\(608\) −0.707107 0.707107i −0.0286770 0.0286770i
\(609\) −7.47284 + 13.7808i −0.302815 + 0.558427i
\(610\) −0.864390 + 4.28135i −0.0349981 + 0.173347i
\(611\) 4.76424i 0.192741i
\(612\) 20.5609 + 4.34738i 0.831126 + 0.175732i
\(613\) −11.8727 + 11.8727i −0.479532 + 0.479532i −0.904982 0.425450i \(-0.860116\pi\)
0.425450 + 0.904982i \(0.360116\pi\)
\(614\) 28.8383 1.16382
\(615\) 9.03434 10.8112i 0.364300 0.435949i
\(616\) −0.0155687 −0.000627280
\(617\) −24.2856 + 24.2856i −0.977701 + 0.977701i −0.999757 0.0220560i \(-0.992979\pi\)
0.0220560 + 0.999757i \(0.492979\pi\)
\(618\) −0.548593 + 0.162820i −0.0220676 + 0.00654957i
\(619\) 13.1124i 0.527030i −0.964655 0.263515i \(-0.915118\pi\)
0.964655 0.263515i \(-0.0848819\pi\)
\(620\) −4.31873 6.50376i −0.173444 0.261197i
\(621\) −0.758350 9.44206i −0.0304315 0.378897i
\(622\) 4.44929 + 4.44929i 0.178400 + 0.178400i
\(623\) −22.0171 22.0171i −0.882095 0.882095i
\(624\) −2.47431 1.34173i −0.0990515 0.0537120i
\(625\) −17.4736 17.8794i −0.698945 0.715175i
\(626\) 8.40047i 0.335750i
\(627\) −0.00162589 0.00547816i −6.49318e−5 0.000218777i
\(628\) −8.81673 + 8.81673i −0.351826 + 0.351826i
\(629\) −66.4962 −2.65138
\(630\) 12.5482 29.0625i 0.499933 1.15788i
\(631\) 38.4496 1.53066 0.765328 0.643641i \(-0.222577\pi\)
0.765328 + 0.643641i \(0.222577\pi\)
\(632\) 8.84374 8.84374i 0.351785 0.351785i
\(633\) 7.32924 + 24.6946i 0.291311 + 0.981522i
\(634\) 18.2484i 0.724736i
\(635\) −1.00454 0.202812i −0.0398638 0.00804836i
\(636\) −12.8702 6.97903i −0.510336 0.276737i
\(637\) 17.5449 + 17.5449i 0.695154 + 0.695154i
\(638\) −0.00447440 0.00447440i −0.000177143 0.000177143i
\(639\) −5.28606 8.12080i −0.209113 0.321254i
\(640\) 2.19184 + 0.442526i 0.0866402 + 0.0174924i
\(641\) 11.4967i 0.454092i 0.973884 + 0.227046i \(0.0729067\pi\)
−0.973884 + 0.227046i \(0.927093\pi\)
\(642\) 31.0678 9.22077i 1.22615 0.363915i
\(643\) −35.5378 + 35.5378i −1.40147 + 1.40147i −0.606035 + 0.795438i \(0.707241\pi\)
−0.795438 + 0.606035i \(0.792759\pi\)
\(644\) −8.60255 −0.338988
\(645\) −8.29949 + 0.743082i −0.326792 + 0.0292588i
\(646\) 7.00516 0.275614
\(647\) 10.4682 10.4682i 0.411548 0.411548i −0.470729 0.882278i \(-0.656009\pi\)
0.882278 + 0.470729i \(0.156009\pi\)
\(648\) 8.39531 3.24328i 0.329799 0.127408i
\(649\) 0.0392226i 0.00153962i
\(650\) 7.48881 + 3.15243i 0.293735 + 0.123649i
\(651\) −13.6033 + 25.0861i −0.533155 + 0.983203i
\(652\) −1.80955 1.80955i −0.0708673 0.0708673i
\(653\) 6.60928 + 6.60928i 0.258641 + 0.258641i 0.824501 0.565860i \(-0.191456\pi\)
−0.565860 + 0.824501i \(0.691456\pi\)
\(654\) −12.8351 + 23.6696i −0.501894 + 0.925554i
\(655\) 19.7840 + 29.7935i 0.773023 + 1.16413i
\(656\) 3.63777i 0.142031i
\(657\) −9.10660 + 43.0696i −0.355282 + 1.68031i
\(658\) 9.78265 9.78265i 0.381368 0.381368i
\(659\) 17.5688 0.684382 0.342191 0.939630i \(-0.388831\pi\)
0.342191 + 0.939630i \(0.388831\pi\)
\(660\) 0.00980490 + 0.00819345i 0.000381655 + 0.000318930i
\(661\) −49.5755 −1.92826 −0.964132 0.265422i \(-0.914489\pi\)
−0.964132 + 0.265422i \(0.914489\pi\)
\(662\) 15.7560 15.7560i 0.612376 0.612376i
\(663\) 18.9023 5.61012i 0.734105 0.217879i
\(664\) 13.1516i 0.510381i
\(665\) 2.08826 10.3432i 0.0809792 0.401092i
\(666\) −23.8665 + 15.5354i −0.924810 + 0.601986i
\(667\) −2.47235 2.47235i −0.0957299 0.0957299i
\(668\) 10.1823 + 10.1823i 0.393964 + 0.393964i
\(669\) −9.82886 5.32983i −0.380006 0.206063i
\(670\) −14.6635 + 9.73710i −0.566501 + 0.376177i
\(671\) 0.00644432i 0.000248780i
\(672\) −2.32558 7.83564i −0.0897113 0.302266i
\(673\) 1.10810 1.10810i 0.0427143 0.0427143i −0.685427 0.728141i \(-0.740384\pi\)
0.728141 + 0.685427i \(0.240384\pi\)
\(674\) −26.9167 −1.03679
\(675\) −23.1976 + 11.6992i −0.892876 + 0.450303i
\(676\) 10.3592 0.398431
\(677\) 30.2637 30.2637i 1.16313 1.16313i 0.179342 0.983787i \(-0.442603\pi\)
0.983787 0.179342i \(-0.0573969\pi\)
\(678\) 0.469969 + 1.58348i 0.0180491 + 0.0608132i
\(679\) 51.5383i 1.97786i
\(680\) −13.0491 + 8.66506i −0.500409 + 0.332290i
\(681\) 19.2692 + 10.4490i 0.738398 + 0.400406i
\(682\) −0.00814505 0.00814505i −0.000311890 0.000311890i
\(683\) −22.9904 22.9904i −0.879703 0.879703i 0.113800 0.993504i \(-0.463698\pi\)
−0.993504 + 0.113800i \(0.963698\pi\)
\(684\) 2.51426 1.63661i 0.0961352 0.0625772i
\(685\) 2.96550 14.6882i 0.113306 0.561207i
\(686\) 39.0189i 1.48975i
\(687\) 25.9664 7.70671i 0.990680 0.294029i
\(688\) −1.52133 + 1.52133i −0.0580003 + 0.0580003i
\(689\) −13.7362 −0.523309
\(690\) 5.41775 + 4.52733i 0.206250 + 0.172353i
\(691\) −5.79714 −0.220534 −0.110267 0.993902i \(-0.535171\pi\)
−0.110267 + 0.993902i \(0.535171\pi\)
\(692\) 4.12383 4.12383i 0.156765 0.156765i
\(693\) 0.00966186 0.0456957i 0.000367024 0.00173584i
\(694\) 3.74006i 0.141971i
\(695\) −26.0255 39.1929i −0.987203 1.48667i
\(696\) 1.58358 2.92031i 0.0600254 0.110694i
\(697\) 18.0193 + 18.0193i 0.682531 + 0.682531i
\(698\) −19.7371 19.7371i −0.747059 0.747059i
\(699\) −13.4871 + 24.8718i −0.510129 + 0.940739i
\(700\) 8.90409 + 21.8502i 0.336543 + 0.825859i
\(701\) 25.8432i 0.976085i 0.872820 + 0.488043i \(0.162289\pi\)
−0.872820 + 0.488043i \(0.837711\pi\)
\(702\) 5.47365 6.42968i 0.206590 0.242673i
\(703\) −6.71219 + 6.71219i −0.253155 + 0.253155i
\(704\) 0.00329918 0.000124342
\(705\) −11.3094 + 1.01257i −0.425935 + 0.0381354i
\(706\) 5.14338 0.193574
\(707\) 54.0127 54.0127i 2.03136 2.03136i
\(708\) −19.7406 + 5.85890i −0.741896 + 0.220191i
\(709\) 32.2841i 1.21246i −0.795291 0.606228i \(-0.792682\pi\)
0.795291 0.606228i \(-0.207318\pi\)
\(710\) 7.07941 + 1.42931i 0.265686 + 0.0536411i
\(711\) 20.4690 + 31.4457i 0.767646 + 1.17931i
\(712\) 4.66567 + 4.66567i 0.174853 + 0.174853i
\(713\) −4.50059 4.50059i −0.168548 0.168548i
\(714\) 50.3326 + 27.2935i 1.88365 + 1.02143i
\(715\) 0.0117512 + 0.00237253i 0.000439471 + 8.87278e-5i
\(716\) 1.74920i 0.0653706i
\(717\) 5.11418 + 17.2314i 0.190993 + 0.643517i
\(718\) 13.4372 13.4372i 0.501473 0.501473i
\(719\) 46.4403 1.73193 0.865965 0.500105i \(-0.166705\pi\)
0.865965 + 0.500105i \(0.166705\pi\)
\(720\) −2.65911 + 6.15866i −0.0990992 + 0.229520i
\(721\) −1.55908 −0.0580630
\(722\) 0.707107 0.707107i 0.0263158 0.0263158i
\(723\) 7.09964 + 23.9210i 0.264039 + 0.889632i
\(724\) 16.8570i 0.626485i
\(725\) −3.72068 + 8.83871i −0.138182 + 0.328261i
\(726\) −16.7486 9.08213i −0.621597 0.337070i
\(727\) 24.1873 + 24.1873i 0.897056 + 0.897056i 0.995175 0.0981183i \(-0.0312824\pi\)
−0.0981183 + 0.995175i \(0.531282\pi\)
\(728\) −5.42249 5.42249i −0.200971 0.200971i
\(729\) 4.30927 + 26.6539i 0.159603 + 0.987181i
\(730\) −18.1510 27.3343i −0.671798 1.01169i
\(731\) 15.0715i 0.557441i
\(732\) −3.24339 + 0.962624i −0.119879 + 0.0355796i
\(733\) 22.2566 22.2566i 0.822065 0.822065i −0.164339 0.986404i \(-0.552549\pi\)
0.986404 + 0.164339i \(0.0525491\pi\)
\(734\) −4.76035 −0.175708
\(735\) 37.9191 45.3769i 1.39867 1.67375i
\(736\) 1.82298 0.0671958
\(737\) −0.0183640 + 0.0183640i −0.000676447 + 0.000676447i
\(738\) 10.6773 + 2.25759i 0.393035 + 0.0831030i
\(739\) 32.3498i 1.19001i −0.803724 0.595003i \(-0.797151\pi\)
0.803724 0.595003i \(-0.202849\pi\)
\(740\) 4.20066 20.8060i 0.154419 0.764843i
\(741\) 1.34173 2.47431i 0.0492895 0.0908959i
\(742\) −28.2053 28.2053i −1.03545 1.03545i
\(743\) −12.0657 12.0657i −0.442649 0.442649i 0.450253 0.892901i \(-0.351334\pi\)
−0.892901 + 0.450253i \(0.851334\pi\)
\(744\) 2.88269 5.31604i 0.105685 0.194895i
\(745\) 17.6312 11.7077i 0.645956 0.428938i
\(746\) 6.61149i 0.242064i
\(747\) 38.6014 + 8.16184i 1.41235 + 0.298626i
\(748\) −0.0163421 + 0.0163421i −0.000597528 + 0.000597528i
\(749\) 88.2932 3.22616
\(750\) 5.89161 18.4469i 0.215131 0.673586i
\(751\) 0.958420 0.0349732 0.0174866 0.999847i \(-0.494434\pi\)
0.0174866 + 0.999847i \(0.494434\pi\)
\(752\) −2.07305 + 2.07305i −0.0755965 + 0.0755965i
\(753\) 34.3863 10.2057i 1.25311 0.371916i
\(754\) 3.11682i 0.113508i
\(755\) 21.5003 14.2770i 0.782476 0.519592i
\(756\) 24.4417 1.96306i 0.888936 0.0713959i
\(757\) −11.0571 11.0571i −0.401877 0.401877i 0.477017 0.878894i \(-0.341718\pi\)
−0.878894 + 0.477017i \(0.841718\pi\)
\(758\) −4.66927 4.66927i −0.169596 0.169596i
\(759\) 0.00915740 + 0.00496572i 0.000332393 + 0.000180244i
\(760\) −0.442526 + 2.19184i −0.0160521 + 0.0795065i
\(761\) 45.8185i 1.66092i −0.557078 0.830460i \(-0.688078\pi\)
0.557078 0.830460i \(-0.311922\pi\)
\(762\) −0.225861 0.761000i −0.00818209 0.0275681i
\(763\) −51.8724 + 51.8724i −1.87791 + 1.87791i
\(764\) 2.59256 0.0937954
\(765\) −17.3347 43.6779i −0.626737 1.57918i
\(766\) 20.4149 0.737619
\(767\) −13.6610 + 13.6610i −0.493272 + 0.493272i
\(768\) 0.492817 + 1.66046i 0.0177830 + 0.0599167i
\(769\) 26.0419i 0.939095i −0.882907 0.469548i \(-0.844417\pi\)
0.882907 0.469548i \(-0.155583\pi\)
\(770\) 0.0192577 + 0.0290010i 0.000694000 + 0.00104512i
\(771\) −15.5975 8.45794i −0.561729 0.304605i
\(772\) 1.18301 + 1.18301i 0.0425774 + 0.0425774i
\(773\) 7.42336 + 7.42336i 0.267000 + 0.267000i 0.827890 0.560890i \(-0.189541\pi\)
−0.560890 + 0.827890i \(0.689541\pi\)
\(774\) −3.52115 5.40941i −0.126565 0.194437i
\(775\) −6.77299 + 16.0897i −0.243293 + 0.577958i
\(776\) 10.9215i 0.392061i
\(777\) −74.3795 + 22.0755i −2.66835 + 0.791954i