Properties

Label 731.2.j.a.135.16
Level 731
Weight 2
Character 731.135
Analytic conductor 5.837
Analytic rank 0
Dimension 128
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.j (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(64\) over \(\Q(\zeta_{6})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 135.16
Character \(\chi\) = 731.135
Dual form 731.2.j.a.509.16

$q$-expansion

\(f(q)\) \(=\) \(q-1.73933 q^{2} +(1.10646 + 0.638817i) q^{3} +1.02526 q^{4} +(-2.28826 - 1.32113i) q^{5} +(-1.92450 - 1.11111i) q^{6} +(4.26158 - 2.46042i) q^{7} +1.69540 q^{8} +(-0.683825 - 1.18442i) q^{9} +O(q^{10})\) \(q-1.73933 q^{2} +(1.10646 + 0.638817i) q^{3} +1.02526 q^{4} +(-2.28826 - 1.32113i) q^{5} +(-1.92450 - 1.11111i) q^{6} +(4.26158 - 2.46042i) q^{7} +1.69540 q^{8} +(-0.683825 - 1.18442i) q^{9} +(3.98003 + 2.29787i) q^{10} -0.464939i q^{11} +(1.13441 + 0.654952i) q^{12} +(-2.87460 - 4.97895i) q^{13} +(-7.41227 + 4.27948i) q^{14} +(-1.68792 - 2.92356i) q^{15} -4.99936 q^{16} +(-0.621007 + 4.07607i) q^{17} +(1.18940 + 2.06009i) q^{18} +(-2.00439 + 3.47171i) q^{19} +(-2.34606 - 1.35450i) q^{20} +6.28704 q^{21} +0.808680i q^{22} +(2.36314 + 1.36436i) q^{23} +(1.87590 + 1.08305i) q^{24} +(0.990762 + 1.71605i) q^{25} +(4.99987 + 8.66002i) q^{26} -5.58026i q^{27} +(4.36921 - 2.52257i) q^{28} +(-6.94958 + 4.01234i) q^{29} +(2.93584 + 5.08503i) q^{30} +(-5.73772 - 3.31268i) q^{31} +5.30473 q^{32} +(0.297011 - 0.514438i) q^{33} +(1.08013 - 7.08962i) q^{34} -13.0021 q^{35} +(-0.701097 - 1.21433i) q^{36} +(0.115445 + 0.0666519i) q^{37} +(3.48629 - 6.03844i) q^{38} -7.34537i q^{39} +(-3.87951 - 2.23984i) q^{40} +0.696605i q^{41} -10.9352 q^{42} +(1.89825 - 6.27668i) q^{43} -0.476682i q^{44} +3.61368i q^{45} +(-4.11027 - 2.37306i) q^{46} -3.34439 q^{47} +(-5.53161 - 3.19368i) q^{48} +(8.60736 - 14.9084i) q^{49} +(-1.72326 - 2.98477i) q^{50} +(-3.29099 + 4.11331i) q^{51} +(-2.94720 - 5.10470i) q^{52} +(0.460349 - 0.797347i) q^{53} +9.70589i q^{54} +(-0.614244 + 1.06390i) q^{55} +(7.22506 - 4.17139i) q^{56} +(-4.43558 + 2.56088i) q^{57} +(12.0876 - 6.97877i) q^{58} +1.34574 q^{59} +(-1.73055 - 2.99740i) q^{60} +(-1.33124 + 0.768590i) q^{61} +(9.97978 + 5.76183i) q^{62} +(-5.82835 - 3.36500i) q^{63} +0.772067 q^{64} +15.1909i q^{65} +(-0.516599 + 0.894776i) q^{66} +(5.99899 - 10.3906i) q^{67} +(-0.636692 + 4.17902i) q^{68} +(1.74315 + 3.01922i) q^{69} +22.6150 q^{70} +(-10.6098 + 6.12559i) q^{71} +(-1.15936 - 2.00806i) q^{72} +(7.24101 - 4.18060i) q^{73} +(-0.200796 - 0.115929i) q^{74} +2.53166i q^{75} +(-2.05502 + 3.55940i) q^{76} +(-1.14395 - 1.98137i) q^{77} +12.7760i q^{78} +(-14.4123 + 8.32096i) q^{79} +(11.4399 + 6.60480i) q^{80} +(1.51329 - 2.62110i) q^{81} -1.21162i q^{82} +(7.45889 - 12.9192i) q^{83} +6.44583 q^{84} +(6.80604 - 8.50669i) q^{85} +(-3.30168 + 10.9172i) q^{86} -10.2526 q^{87} -0.788256i q^{88} +(-0.204257 + 0.353784i) q^{89} -6.28538i q^{90} +(-24.5007 - 14.1455i) q^{91} +(2.42282 + 1.39882i) q^{92} +(-4.23239 - 7.33071i) q^{93} +5.81699 q^{94} +(9.17315 - 5.29612i) q^{95} +(5.86949 + 3.38875i) q^{96} +3.60856i q^{97} +(-14.9710 + 25.9306i) q^{98} +(-0.550683 + 0.317937i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + O(q^{10}) \) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + 4q^{13} - 12q^{15} + 76q^{16} + 2q^{17} - 16q^{18} - 2q^{19} - 20q^{21} + 60q^{25} - 2q^{26} - 28q^{30} - 48q^{32} + 22q^{33} - 18q^{34} - 112q^{35} + 36q^{36} - 40q^{38} + 36q^{42} + 10q^{43} + 36q^{47} + 52q^{49} + 16q^{50} + 10q^{51} + 10q^{52} + 24q^{55} - 12q^{59} - 78q^{60} + 36q^{64} + 14q^{66} + 10q^{67} - q^{68} - 64q^{70} - 68q^{72} - 22q^{76} - 28q^{77} - 20q^{81} - 6q^{83} + 32q^{84} + 6q^{85} - 58q^{86} + 32q^{87} + 36q^{89} + 6q^{93} + 132q^{94} - 48q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.73933 −1.22989 −0.614945 0.788570i \(-0.710822\pi\)
−0.614945 + 0.788570i \(0.710822\pi\)
\(3\) 1.10646 + 0.638817i 0.638817 + 0.368821i 0.784159 0.620560i \(-0.213095\pi\)
−0.145342 + 0.989382i \(0.546428\pi\)
\(4\) 1.02526 0.512628
\(5\) −2.28826 1.32113i −1.02334 0.590827i −0.108272 0.994121i \(-0.534532\pi\)
−0.915070 + 0.403295i \(0.867865\pi\)
\(6\) −1.92450 1.11111i −0.785675 0.453609i
\(7\) 4.26158 2.46042i 1.61072 0.929952i 0.621522 0.783396i \(-0.286514\pi\)
0.989202 0.146556i \(-0.0468189\pi\)
\(8\) 1.69540 0.599413
\(9\) −0.683825 1.18442i −0.227942 0.394807i
\(10\) 3.98003 + 2.29787i 1.25860 + 0.726652i
\(11\) 0.464939i 0.140184i −0.997541 0.0700922i \(-0.977671\pi\)
0.997541 0.0700922i \(-0.0223293\pi\)
\(12\) 1.13441 + 0.654952i 0.327476 + 0.189068i
\(13\) −2.87460 4.97895i −0.797270 1.38091i −0.921388 0.388645i \(-0.872943\pi\)
0.124117 0.992268i \(-0.460390\pi\)
\(14\) −7.41227 + 4.27948i −1.98101 + 1.14374i
\(15\) −1.68792 2.92356i −0.435819 0.754860i
\(16\) −4.99936 −1.24984
\(17\) −0.621007 + 4.07607i −0.150616 + 0.988592i
\(18\) 1.18940 + 2.06009i 0.280343 + 0.485569i
\(19\) −2.00439 + 3.47171i −0.459839 + 0.796465i −0.998952 0.0457685i \(-0.985426\pi\)
0.539113 + 0.842234i \(0.318760\pi\)
\(20\) −2.34606 1.35450i −0.524594 0.302875i
\(21\) 6.28704 1.37194
\(22\) 0.808680i 0.172411i
\(23\) 2.36314 + 1.36436i 0.492748 + 0.284488i 0.725714 0.687997i \(-0.241510\pi\)
−0.232966 + 0.972485i \(0.574843\pi\)
\(24\) 1.87590 + 1.08305i 0.382915 + 0.221076i
\(25\) 0.990762 + 1.71605i 0.198152 + 0.343210i
\(26\) 4.99987 + 8.66002i 0.980554 + 1.69837i
\(27\) 5.58026i 1.07392i
\(28\) 4.36921 2.52257i 0.825703 0.476720i
\(29\) −6.94958 + 4.01234i −1.29050 + 0.745073i −0.978744 0.205087i \(-0.934252\pi\)
−0.311761 + 0.950161i \(0.600919\pi\)
\(30\) 2.93584 + 5.08503i 0.536009 + 0.928395i
\(31\) −5.73772 3.31268i −1.03053 0.594974i −0.113391 0.993550i \(-0.536171\pi\)
−0.917135 + 0.398576i \(0.869504\pi\)
\(32\) 5.30473 0.937753
\(33\) 0.297011 0.514438i 0.0517030 0.0895521i
\(34\) 1.08013 7.08962i 0.185242 1.21586i
\(35\) −13.0021 −2.19776
\(36\) −0.701097 1.21433i −0.116849 0.202389i
\(37\) 0.115445 + 0.0666519i 0.0189790 + 0.0109575i 0.509459 0.860495i \(-0.329845\pi\)
−0.490481 + 0.871452i \(0.663179\pi\)
\(38\) 3.48629 6.03844i 0.565552 0.979564i
\(39\) 7.34537i 1.17620i
\(40\) −3.87951 2.23984i −0.613405 0.354149i
\(41\) 0.696605i 0.108791i 0.998519 + 0.0543957i \(0.0173232\pi\)
−0.998519 + 0.0543957i \(0.982677\pi\)
\(42\) −10.9352 −1.68734
\(43\) 1.89825 6.27668i 0.289480 0.957184i
\(44\) 0.476682i 0.0718625i
\(45\) 3.61368i 0.538696i
\(46\) −4.11027 2.37306i −0.606026 0.349889i
\(47\) −3.34439 −0.487830 −0.243915 0.969797i \(-0.578432\pi\)
−0.243915 + 0.969797i \(0.578432\pi\)
\(48\) −5.53161 3.19368i −0.798420 0.460968i
\(49\) 8.60736 14.9084i 1.22962 2.12977i
\(50\) −1.72326 2.98477i −0.243706 0.422110i
\(51\) −3.29099 + 4.11331i −0.460830 + 0.575979i
\(52\) −2.94720 5.10470i −0.408703 0.707895i
\(53\) 0.460349 0.797347i 0.0632338 0.109524i −0.832675 0.553761i \(-0.813192\pi\)
0.895909 + 0.444237i \(0.146525\pi\)
\(54\) 9.70589i 1.32080i
\(55\) −0.614244 + 1.06390i −0.0828246 + 0.143456i
\(56\) 7.22506 4.17139i 0.965490 0.557426i
\(57\) −4.43558 + 2.56088i −0.587507 + 0.339197i
\(58\) 12.0876 6.97877i 1.58718 0.916358i
\(59\) 1.34574 0.175200 0.0876000 0.996156i \(-0.472080\pi\)
0.0876000 + 0.996156i \(0.472080\pi\)
\(60\) −1.73055 2.99740i −0.223413 0.386963i
\(61\) −1.33124 + 0.768590i −0.170447 + 0.0984079i −0.582797 0.812618i \(-0.698042\pi\)
0.412349 + 0.911026i \(0.364708\pi\)
\(62\) 9.97978 + 5.76183i 1.26743 + 0.731753i
\(63\) −5.82835 3.36500i −0.734303 0.423950i
\(64\) 0.772067 0.0965084
\(65\) 15.1909i 1.88419i
\(66\) −0.516599 + 0.894776i −0.0635889 + 0.110139i
\(67\) 5.99899 10.3906i 0.732893 1.26941i −0.222748 0.974876i \(-0.571503\pi\)
0.955642 0.294532i \(-0.0951638\pi\)
\(68\) −0.636692 + 4.17902i −0.0772102 + 0.506780i
\(69\) 1.74315 + 3.01922i 0.209851 + 0.363472i
\(70\) 22.6150 2.70301
\(71\) −10.6098 + 6.12559i −1.25916 + 0.726974i −0.972910 0.231183i \(-0.925740\pi\)
−0.286245 + 0.958157i \(0.592407\pi\)
\(72\) −1.15936 2.00806i −0.136631 0.236652i
\(73\) 7.24101 4.18060i 0.847496 0.489302i −0.0123093 0.999924i \(-0.503918\pi\)
0.859805 + 0.510622i \(0.170585\pi\)
\(74\) −0.200796 0.115929i −0.0233420 0.0134765i
\(75\) 2.53166i 0.292331i
\(76\) −2.05502 + 3.55940i −0.235727 + 0.408291i
\(77\) −1.14395 1.98137i −0.130365 0.225798i
\(78\) 12.7760i 1.44660i
\(79\) −14.4123 + 8.32096i −1.62151 + 0.936181i −0.634997 + 0.772514i \(0.718999\pi\)
−0.986516 + 0.163667i \(0.947668\pi\)
\(80\) 11.4399 + 6.60480i 1.27901 + 0.738439i
\(81\) 1.51329 2.62110i 0.168143 0.291233i
\(82\) 1.21162i 0.133801i
\(83\) 7.45889 12.9192i 0.818720 1.41806i −0.0879063 0.996129i \(-0.528018\pi\)
0.906626 0.421935i \(-0.138649\pi\)
\(84\) 6.44583 0.703298
\(85\) 6.80604 8.50669i 0.738219 0.922680i
\(86\) −3.30168 + 10.9172i −0.356029 + 1.17723i
\(87\) −10.2526 −1.09920
\(88\) 0.788256i 0.0840283i
\(89\) −0.204257 + 0.353784i −0.0216512 + 0.0375011i −0.876648 0.481132i \(-0.840226\pi\)
0.854997 + 0.518633i \(0.173559\pi\)
\(90\) 6.28538i 0.662537i
\(91\) −24.5007 14.1455i −2.56837 1.48285i
\(92\) 2.42282 + 1.39882i 0.252597 + 0.145837i
\(93\) −4.23239 7.33071i −0.438878 0.760160i
\(94\) 5.81699 0.599976
\(95\) 9.17315 5.29612i 0.941146 0.543371i
\(96\) 5.86949 + 3.38875i 0.599052 + 0.345863i
\(97\) 3.60856i 0.366394i 0.983076 + 0.183197i \(0.0586446\pi\)
−0.983076 + 0.183197i \(0.941355\pi\)
\(98\) −14.9710 + 25.9306i −1.51230 + 2.61938i
\(99\) −0.550683 + 0.317937i −0.0553457 + 0.0319539i
\(100\) 1.01579 + 1.75939i 0.101579 + 0.175939i
\(101\) −4.83197 8.36921i −0.480798 0.832767i 0.518959 0.854799i \(-0.326320\pi\)
−0.999757 + 0.0220319i \(0.992986\pi\)
\(102\) 5.72410 7.15440i 0.566770 0.708391i
\(103\) 2.15175 + 3.72693i 0.212018 + 0.367226i 0.952346 0.305020i \(-0.0986632\pi\)
−0.740328 + 0.672246i \(0.765330\pi\)
\(104\) −4.87359 8.44130i −0.477894 0.827737i
\(105\) −14.3864 8.30599i −1.40397 0.810582i
\(106\) −0.800697 + 1.38685i −0.0777705 + 0.134703i
\(107\) 11.6884i 1.12996i −0.825105 0.564979i \(-0.808884\pi\)
0.825105 0.564979i \(-0.191116\pi\)
\(108\) 5.72120i 0.550523i
\(109\) 1.23648 + 0.713884i 0.118434 + 0.0683777i 0.558047 0.829810i \(-0.311551\pi\)
−0.439613 + 0.898187i \(0.644884\pi\)
\(110\) 1.06837 1.85047i 0.101865 0.176436i
\(111\) 0.0851568 + 0.147496i 0.00808272 + 0.0139997i
\(112\) −21.3052 + 12.3005i −2.01315 + 1.16229i
\(113\) 3.09399i 0.291058i 0.989354 + 0.145529i \(0.0464884\pi\)
−0.989354 + 0.145529i \(0.953512\pi\)
\(114\) 7.71492 4.45421i 0.722568 0.417175i
\(115\) −3.60498 6.24401i −0.336166 0.582257i
\(116\) −7.12510 + 4.11368i −0.661549 + 0.381946i
\(117\) −3.93145 + 6.80947i −0.363462 + 0.629535i
\(118\) −2.34068 −0.215477
\(119\) 7.38239 + 18.8984i 0.676742 + 1.73242i
\(120\) −2.86169 4.95660i −0.261236 0.452473i
\(121\) 10.7838 0.980348
\(122\) 2.31546 1.33683i 0.209631 0.121031i
\(123\) −0.445003 + 0.770768i −0.0401246 + 0.0694978i
\(124\) −5.88264 3.39634i −0.528277 0.305001i
\(125\) 7.97559i 0.713359i
\(126\) 10.1374 + 5.85283i 0.903112 + 0.521412i
\(127\) −19.8559 −1.76192 −0.880961 0.473188i \(-0.843103\pi\)
−0.880961 + 0.473188i \(0.843103\pi\)
\(128\) −11.9523 −1.05645
\(129\) 6.10999 5.73228i 0.537955 0.504699i
\(130\) 26.4219i 2.31735i
\(131\) 14.5956i 1.27522i −0.770359 0.637610i \(-0.779923\pi\)
0.770359 0.637610i \(-0.220077\pi\)
\(132\) 0.304512 0.527431i 0.0265044 0.0459070i
\(133\) 19.7266i 1.71052i
\(134\) −10.4342 + 18.0726i −0.901378 + 1.56123i
\(135\) −7.37224 + 12.7691i −0.634502 + 1.09899i
\(136\) −1.05285 + 6.91056i −0.0902815 + 0.592575i
\(137\) 5.84044 0.498982 0.249491 0.968377i \(-0.419737\pi\)
0.249491 + 0.968377i \(0.419737\pi\)
\(138\) −3.03191 5.25142i −0.258093 0.447030i
\(139\) 8.40313 + 4.85155i 0.712744 + 0.411503i 0.812076 0.583551i \(-0.198337\pi\)
−0.0993319 + 0.995054i \(0.531671\pi\)
\(140\) −13.3305 −1.12664
\(141\) −3.70045 2.13645i −0.311634 0.179922i
\(142\) 18.4540 10.6544i 1.54862 0.894097i
\(143\) −2.31491 + 1.33651i −0.193582 + 0.111765i
\(144\) 3.41869 + 5.92135i 0.284891 + 0.493445i
\(145\) 21.2033 1.76084
\(146\) −12.5945 + 7.27142i −1.04233 + 0.601787i
\(147\) 19.0475 10.9971i 1.57101 0.907022i
\(148\) 0.118360 + 0.0683353i 0.00972915 + 0.00561713i
\(149\) −1.77466 + 3.07380i −0.145386 + 0.251815i −0.929517 0.368780i \(-0.879776\pi\)
0.784131 + 0.620595i \(0.213109\pi\)
\(150\) 4.40339i 0.359535i
\(151\) 18.3988 1.49727 0.748637 0.662981i \(-0.230709\pi\)
0.748637 + 0.662981i \(0.230709\pi\)
\(152\) −3.39824 + 5.88593i −0.275634 + 0.477412i
\(153\) 5.25244 2.05179i 0.424635 0.165877i
\(154\) 1.98970 + 3.44625i 0.160334 + 0.277707i
\(155\) 8.75294 + 15.1605i 0.703053 + 1.21772i
\(156\) 7.53089i 0.602954i
\(157\) −1.18758 2.05695i −0.0947794 0.164163i 0.814737 0.579831i \(-0.196881\pi\)
−0.909517 + 0.415668i \(0.863548\pi\)
\(158\) 25.0677 14.4729i 1.99428 1.15140i
\(159\) 1.01872 0.588157i 0.0807896 0.0466439i
\(160\) −12.1386 7.00823i −0.959641 0.554049i
\(161\) 13.4276 1.05824
\(162\) −2.63211 + 4.55894i −0.206798 + 0.358184i
\(163\) 1.29206 0.745973i 0.101202 0.0584291i −0.448545 0.893760i \(-0.648058\pi\)
0.549747 + 0.835331i \(0.314724\pi\)
\(164\) 0.714199i 0.0557695i
\(165\) −1.35928 + 0.784779i −0.105820 + 0.0610950i
\(166\) −12.9734 + 22.4707i −1.00693 + 1.74406i
\(167\) 3.98348 + 2.29986i 0.308251 + 0.177969i 0.646143 0.763216i \(-0.276381\pi\)
−0.337893 + 0.941185i \(0.609714\pi\)
\(168\) 10.6590 0.822362
\(169\) −10.0266 + 17.3666i −0.771280 + 1.33590i
\(170\) −11.8379 + 14.7959i −0.907928 + 1.13479i
\(171\) 5.48262 0.419266
\(172\) 1.94619 6.43520i 0.148396 0.490680i
\(173\) 7.18532i 0.546289i −0.961973 0.273145i \(-0.911936\pi\)
0.961973 0.273145i \(-0.0880638\pi\)
\(174\) 17.8326 1.35189
\(175\) 8.44442 + 4.87539i 0.638338 + 0.368545i
\(176\) 2.32440i 0.175208i
\(177\) 1.48901 + 0.859680i 0.111921 + 0.0646175i
\(178\) 0.355270 0.615346i 0.0266286 0.0461222i
\(179\) −6.77976 11.7429i −0.506743 0.877704i −0.999970 0.00780340i \(-0.997516\pi\)
0.493227 0.869901i \(-0.335817\pi\)
\(180\) 3.70495i 0.276151i
\(181\) 5.27873 3.04768i 0.392365 0.226532i −0.290819 0.956778i \(-0.593928\pi\)
0.683184 + 0.730246i \(0.260595\pi\)
\(182\) 42.6146 + 24.6036i 3.15881 + 1.82374i
\(183\) −1.96395 −0.145180
\(184\) 4.00645 + 2.31313i 0.295360 + 0.170526i
\(185\) −0.176112 0.305034i −0.0129480 0.0224266i
\(186\) 7.36151 + 12.7505i 0.539772 + 0.934912i
\(187\) 1.89512 + 0.288730i 0.138585 + 0.0211141i
\(188\) −3.42886 −0.250075
\(189\) −13.7298 23.7807i −0.998696 1.72979i
\(190\) −15.9551 + 9.21169i −1.15751 + 0.668286i
\(191\) 11.1722 19.3508i 0.808391 1.40017i −0.105588 0.994410i \(-0.533672\pi\)
0.913978 0.405764i \(-0.132994\pi\)
\(192\) 0.854264 + 0.493210i 0.0616512 + 0.0355943i
\(193\) 10.3876i 0.747712i 0.927487 + 0.373856i \(0.121965\pi\)
−0.927487 + 0.373856i \(0.878035\pi\)
\(194\) 6.27647i 0.450624i
\(195\) −9.70418 + 16.8081i −0.694931 + 1.20366i
\(196\) 8.82476 15.2849i 0.630340 1.09178i
\(197\) −8.22210 + 4.74703i −0.585801 + 0.338212i −0.763435 0.645884i \(-0.776489\pi\)
0.177635 + 0.984097i \(0.443155\pi\)
\(198\) 0.957817 0.552996i 0.0680691 0.0392997i
\(199\) 4.93984i 0.350176i 0.984553 + 0.175088i \(0.0560209\pi\)
−0.984553 + 0.175088i \(0.943979\pi\)
\(200\) 1.67973 + 2.90939i 0.118775 + 0.205725i
\(201\) 13.2753 7.66451i 0.936369 0.540613i
\(202\) 8.40436 + 14.5568i 0.591329 + 1.02421i
\(203\) −19.7441 + 34.1978i −1.38577 + 2.40022i
\(204\) −3.37411 + 4.21720i −0.236235 + 0.295263i
\(205\) 0.920304 1.59401i 0.0642768 0.111331i
\(206\) −3.74259 6.48235i −0.260758 0.451647i
\(207\) 3.73193i 0.259387i
\(208\) 14.3712 + 24.8916i 0.996461 + 1.72592i
\(209\) 1.61413 + 0.931920i 0.111652 + 0.0644623i
\(210\) 25.0226 + 14.4468i 1.72673 + 0.996926i
\(211\) 20.9147i 1.43983i −0.694062 0.719915i \(-0.744181\pi\)
0.694062 0.719915i \(-0.255819\pi\)
\(212\) 0.471976 0.817486i 0.0324154 0.0561452i
\(213\) −15.6525 −1.07249
\(214\) 20.3299i 1.38972i
\(215\) −12.6360 + 11.8548i −0.861767 + 0.808494i
\(216\) 9.46075i 0.643723i
\(217\) −32.6023 −2.21319
\(218\) −2.15065 1.24168i −0.145660 0.0840970i
\(219\) 10.6825 0.721860
\(220\) −0.629758 + 1.09077i −0.0424583 + 0.0735399i
\(221\) 22.0797 8.62510i 1.48524 0.580187i
\(222\) −0.148115 0.256543i −0.00994086 0.0172181i
\(223\) 21.5581 1.44363 0.721817 0.692084i \(-0.243307\pi\)
0.721817 + 0.692084i \(0.243307\pi\)
\(224\) 22.6065 13.0519i 1.51046 0.872065i
\(225\) 1.35502 2.34696i 0.0903344 0.156464i
\(226\) 5.38146i 0.357969i
\(227\) 15.0312 + 8.67824i 0.997653 + 0.575995i 0.907553 0.419938i \(-0.137948\pi\)
0.0901000 + 0.995933i \(0.471281\pi\)
\(228\) −4.54761 + 2.62556i −0.301173 + 0.173882i
\(229\) 11.9486 + 20.6956i 0.789587 + 1.36761i 0.926220 + 0.376984i \(0.123039\pi\)
−0.136633 + 0.990622i \(0.543628\pi\)
\(230\) 6.27024 + 10.8604i 0.413448 + 0.716112i
\(231\) 2.92309i 0.192325i
\(232\) −11.7823 + 6.80251i −0.773546 + 0.446607i
\(233\) −10.6322 + 6.13853i −0.696542 + 0.402148i −0.806058 0.591837i \(-0.798403\pi\)
0.109516 + 0.993985i \(0.465070\pi\)
\(234\) 6.83807 11.8439i 0.447019 0.774259i
\(235\) 7.65284 + 4.41837i 0.499216 + 0.288223i
\(236\) 1.37973 0.0898125
\(237\) −21.2623 −1.38113
\(238\) −12.8404 32.8705i −0.832318 2.13068i
\(239\) −8.34869 + 14.4604i −0.540032 + 0.935362i 0.458870 + 0.888503i \(0.348254\pi\)
−0.998902 + 0.0468588i \(0.985079\pi\)
\(240\) 8.43852 + 14.6159i 0.544704 + 0.943455i
\(241\) 0.861708 0.497507i 0.0555075 0.0320473i −0.471989 0.881604i \(-0.656464\pi\)
0.527497 + 0.849557i \(0.323131\pi\)
\(242\) −18.7566 −1.20572
\(243\) −11.1491 + 6.43696i −0.715218 + 0.412931i
\(244\) −1.36486 + 0.788002i −0.0873762 + 0.0504467i
\(245\) −39.3918 + 22.7429i −2.51665 + 1.45299i
\(246\) 0.774006 1.34062i 0.0493488 0.0854746i
\(247\) 23.0473 1.46647
\(248\) −9.72772 5.61630i −0.617711 0.356635i
\(249\) 16.5060 9.52973i 1.04602 0.603922i
\(250\) 13.8722i 0.877352i
\(251\) 0.473435 + 0.820014i 0.0298830 + 0.0517588i 0.880580 0.473897i \(-0.157153\pi\)
−0.850697 + 0.525656i \(0.823820\pi\)
\(252\) −5.97555 3.44999i −0.376425 0.217329i
\(253\) 0.634343 1.09871i 0.0398808 0.0690755i
\(254\) 34.5358 2.16697
\(255\) 12.9649 5.06452i 0.811891 0.317153i
\(256\) 19.2449 1.20281
\(257\) 23.7295 1.48020 0.740102 0.672495i \(-0.234777\pi\)
0.740102 + 0.672495i \(0.234777\pi\)
\(258\) −10.6273 + 9.97031i −0.661625 + 0.620724i
\(259\) 0.655968 0.0407598
\(260\) 15.5745i 0.965891i
\(261\) 9.50460 + 5.48748i 0.588320 + 0.339667i
\(262\) 25.3865i 1.56838i
\(263\) −8.97587 + 15.5467i −0.553476 + 0.958648i 0.444544 + 0.895757i \(0.353366\pi\)
−0.998020 + 0.0628917i \(0.979968\pi\)
\(264\) 0.503551 0.872176i 0.0309914 0.0536787i
\(265\) −2.10680 + 1.21636i −0.129420 + 0.0747204i
\(266\) 34.3110i 2.10374i
\(267\) −0.452007 + 0.260966i −0.0276624 + 0.0159709i
\(268\) 6.15050 10.6530i 0.375702 0.650735i
\(269\) 10.0493i 0.612716i −0.951916 0.306358i \(-0.900890\pi\)
0.951916 0.306358i \(-0.0991104\pi\)
\(270\) 12.8227 22.2096i 0.780367 1.35164i
\(271\) −6.18582 10.7141i −0.375762 0.650838i 0.614679 0.788777i \(-0.289285\pi\)
−0.990441 + 0.137939i \(0.955952\pi\)
\(272\) 3.10464 20.3778i 0.188246 1.23558i
\(273\) −18.0727 31.3029i −1.09381 1.89454i
\(274\) −10.1584 −0.613693
\(275\) 0.797858 0.460644i 0.0481127 0.0277779i
\(276\) 1.78718 + 3.09548i 0.107575 + 0.186326i
\(277\) 1.31755 + 0.760690i 0.0791642 + 0.0457054i 0.539060 0.842268i \(-0.318780\pi\)
−0.459895 + 0.887973i \(0.652113\pi\)
\(278\) −14.6158 8.43843i −0.876597 0.506103i
\(279\) 9.06117i 0.542478i
\(280\) −22.0438 −1.31737
\(281\) 9.69941 16.7999i 0.578618 1.00220i −0.417020 0.908897i \(-0.636926\pi\)
0.995638 0.0932987i \(-0.0297412\pi\)
\(282\) 6.43629 + 3.71599i 0.383275 + 0.221284i
\(283\) 15.4150 8.89984i 0.916325 0.529041i 0.0338645 0.999426i \(-0.489219\pi\)
0.882461 + 0.470386i \(0.155885\pi\)
\(284\) −10.8778 + 6.28030i −0.645479 + 0.372667i
\(285\) 13.5330 0.801627
\(286\) 4.02638 2.32463i 0.238085 0.137458i
\(287\) 1.71394 + 2.96863i 0.101171 + 0.175233i
\(288\) −3.62751 6.28303i −0.213753 0.370231i
\(289\) −16.2287 5.06254i −0.954629 0.297796i
\(290\) −36.8794 −2.16563
\(291\) −2.30521 + 3.99274i −0.135134 + 0.234059i
\(292\) 7.42389 4.28619i 0.434450 0.250830i
\(293\) −20.0761 −1.17286 −0.586428 0.810002i \(-0.699466\pi\)
−0.586428 + 0.810002i \(0.699466\pi\)
\(294\) −33.1298 + 19.1275i −1.93217 + 1.11554i
\(295\) −3.07940 1.77789i −0.179290 0.103513i
\(296\) 0.195724 + 0.113001i 0.0113762 + 0.00656808i
\(297\) −2.59448 −0.150547
\(298\) 3.08671 5.34634i 0.178808 0.309705i
\(299\) 15.6879i 0.907256i
\(300\) 2.59560i 0.149857i
\(301\) −7.35374 31.4190i −0.423862 1.81096i
\(302\) −32.0015 −1.84148
\(303\) 12.3470i 0.709315i
\(304\) 10.0207 17.3563i 0.574726 0.995454i
\(305\) 4.06162 0.232568
\(306\) −9.13571 + 3.56873i −0.522254 + 0.204011i
\(307\) −9.44253 + 16.3549i −0.538914 + 0.933426i 0.460049 + 0.887893i \(0.347832\pi\)
−0.998963 + 0.0455325i \(0.985502\pi\)
\(308\) −1.17284 2.03142i −0.0668287 0.115751i
\(309\) 5.49829i 0.312787i
\(310\) −15.2242 26.3691i −0.864678 1.49767i
\(311\) 5.86461 + 3.38593i 0.332551 + 0.191999i 0.656973 0.753914i \(-0.271836\pi\)
−0.324422 + 0.945912i \(0.605170\pi\)
\(312\) 12.4533i 0.705030i
\(313\) 8.40164 + 4.85069i 0.474889 + 0.274177i 0.718284 0.695750i \(-0.244928\pi\)
−0.243395 + 0.969927i \(0.578261\pi\)
\(314\) 2.06559 + 3.57771i 0.116568 + 0.201902i
\(315\) 8.89119 + 15.4000i 0.500962 + 0.867692i
\(316\) −14.7763 + 8.53112i −0.831234 + 0.479913i
\(317\) 15.4352i 0.866927i −0.901171 0.433463i \(-0.857291\pi\)
0.901171 0.433463i \(-0.142709\pi\)
\(318\) −1.77188 + 1.02300i −0.0993623 + 0.0573669i
\(319\) 1.86549 + 3.23113i 0.104448 + 0.180908i
\(320\) −1.76669 1.02000i −0.0987611 0.0570197i
\(321\) 7.46674 12.9328i 0.416753 0.721837i
\(322\) −23.3550 −1.30152
\(323\) −12.9062 10.3260i −0.718120 0.574554i
\(324\) 1.55151 2.68730i 0.0861950 0.149294i
\(325\) 5.69609 9.86591i 0.315962 0.547262i
\(326\) −2.24732 + 1.29749i −0.124468 + 0.0718614i
\(327\) 0.912082 + 1.57977i 0.0504383 + 0.0873617i
\(328\) 1.18102i 0.0652110i
\(329\) −14.2524 + 8.22862i −0.785759 + 0.453658i
\(330\) 2.36423 1.36499i 0.130146 0.0751401i
\(331\) −16.6985 28.9226i −0.917831 1.58973i −0.802702 0.596380i \(-0.796605\pi\)
−0.115129 0.993351i \(-0.536728\pi\)
\(332\) 7.64728 13.2455i 0.419699 0.726940i
\(333\) 0.182313i 0.00999070i
\(334\) −6.92856 4.00021i −0.379114 0.218882i
\(335\) −27.4545 + 15.8509i −1.50000 + 0.866026i
\(336\) −31.4312 −1.71471
\(337\) 14.2261 8.21343i 0.774944 0.447414i −0.0596915 0.998217i \(-0.519012\pi\)
0.834635 + 0.550803i \(0.185678\pi\)
\(338\) 17.4396 30.2063i 0.948589 1.64300i
\(339\) −1.97649 + 3.42339i −0.107348 + 0.185933i
\(340\) 6.97794 8.72154i 0.378432 0.472992i
\(341\) −1.54019 + 2.66769i −0.0834061 + 0.144464i
\(342\) −9.53607 −0.515651
\(343\) 50.2651i 2.71406i
\(344\) 3.21829 10.6415i 0.173518 0.573749i
\(345\) 9.21170i 0.495941i
\(346\) 12.4976i 0.671876i
\(347\) 9.40317 + 5.42892i 0.504789 + 0.291440i 0.730689 0.682711i \(-0.239199\pi\)
−0.225900 + 0.974150i \(0.572532\pi\)
\(348\) −10.5116 −0.563479
\(349\) 15.0248 26.0238i 0.804262 1.39302i −0.112527 0.993649i \(-0.535894\pi\)
0.916788 0.399373i \(-0.130772\pi\)
\(350\) −14.6876 8.47989i −0.785085 0.453269i
\(351\) −27.7838 + 16.0410i −1.48299 + 0.856206i
\(352\) 2.46637i 0.131458i
\(353\) −5.02542 8.70429i −0.267476 0.463282i 0.700733 0.713423i \(-0.252856\pi\)
−0.968209 + 0.250141i \(0.919523\pi\)
\(354\) −2.58987 1.49526i −0.137650 0.0794724i
\(355\) 32.3708 1.71806
\(356\) −0.209416 + 0.362720i −0.0110990 + 0.0192241i
\(357\) −3.90430 + 25.6264i −0.206637 + 1.35629i
\(358\) 11.7922 + 20.4247i 0.623238 + 1.07948i
\(359\) 3.48475 + 6.03576i 0.183918 + 0.318555i 0.943211 0.332193i \(-0.107789\pi\)
−0.759293 + 0.650749i \(0.774455\pi\)
\(360\) 6.12663i 0.322902i
\(361\) 1.46481 + 2.53713i 0.0770955 + 0.133533i
\(362\) −9.18144 + 5.30091i −0.482566 + 0.278609i
\(363\) 11.9319 + 6.88890i 0.626263 + 0.361573i
\(364\) −25.1195 14.5027i −1.31662 0.760149i
\(365\) −22.0924 −1.15637
\(366\) 3.41596 0.178555
\(367\) 30.1388 + 17.4007i 1.57323 + 0.908307i 0.995769 + 0.0918915i \(0.0292913\pi\)
0.577465 + 0.816416i \(0.304042\pi\)
\(368\) −11.8142 6.82092i −0.615856 0.355565i
\(369\) 0.825073 0.476356i 0.0429516 0.0247981i
\(370\) 0.306315 + 0.530554i 0.0159246 + 0.0275822i
\(371\) 4.53061i 0.235218i
\(372\) −4.33929 7.51586i −0.224982 0.389679i
\(373\) 0.393415 + 0.681414i 0.0203702 + 0.0352823i 0.876031 0.482255i \(-0.160182\pi\)
−0.855661 + 0.517537i \(0.826849\pi\)
\(374\) −3.29624 0.502196i −0.170444 0.0259680i
\(375\) −5.09494 + 8.82470i −0.263102 + 0.455706i
\(376\) −5.67007 −0.292411
\(377\) 39.9545 + 23.0677i 2.05776 + 1.18805i
\(378\) 23.8806 + 41.3624i 1.22829 + 2.12745i
\(379\) 30.2536i 1.55402i 0.629487 + 0.777011i \(0.283265\pi\)
−0.629487 + 0.777011i \(0.716735\pi\)
\(380\) 9.40484 5.42989i 0.482458 0.278547i
\(381\) −21.9698 12.6843i −1.12555 0.649834i
\(382\) −19.4321 + 33.6573i −0.994231 + 1.72206i
\(383\) 3.21996 0.164532 0.0822661 0.996610i \(-0.473784\pi\)
0.0822661 + 0.996610i \(0.473784\pi\)
\(384\) −13.2248 7.63536i −0.674877 0.389640i
\(385\) 6.04520i 0.308092i
\(386\) 18.0673i 0.919604i
\(387\) −8.73229 + 2.04382i −0.443887 + 0.103893i
\(388\) 3.69970i 0.187824i
\(389\) −2.41836 −0.122616 −0.0613078 0.998119i \(-0.519527\pi\)
−0.0613078 + 0.998119i \(0.519527\pi\)
\(390\) 16.8787 29.2348i 0.854688 1.48036i
\(391\) −7.02874 + 8.78503i −0.355459 + 0.444278i
\(392\) 14.5929 25.2756i 0.737052 1.27661i
\(393\) 9.32390 16.1495i 0.470328 0.814633i
\(394\) 14.3009 8.25664i 0.720470 0.415964i
\(395\) 43.9722 2.21248
\(396\) −0.564591 + 0.325967i −0.0283718 + 0.0163805i
\(397\) −28.8529 16.6582i −1.44809 0.836053i −0.449719 0.893170i \(-0.648476\pi\)
−0.998368 + 0.0571168i \(0.981809\pi\)
\(398\) 8.59199i 0.430677i
\(399\) −12.6017 + 21.8268i −0.630874 + 1.09271i
\(400\) −4.95318 8.57915i −0.247659 0.428958i
\(401\) 13.6864 7.90184i 0.683465 0.394599i −0.117694 0.993050i \(-0.537550\pi\)
0.801159 + 0.598451i \(0.204217\pi\)
\(402\) −23.0901 + 13.3311i −1.15163 + 0.664894i
\(403\) 38.0905i 1.89742i
\(404\) −4.95401 8.58059i −0.246471 0.426900i
\(405\) −6.92561 + 3.99850i −0.344136 + 0.198687i
\(406\) 34.3415 59.4812i 1.70434 2.95200i
\(407\) 0.0309891 0.0536746i 0.00153607 0.00266055i
\(408\) −5.57953 + 6.97370i −0.276228 + 0.345250i
\(409\) 8.53725 0.422140 0.211070 0.977471i \(-0.432305\pi\)
0.211070 + 0.977471i \(0.432305\pi\)
\(410\) −1.60071 + 2.77251i −0.0790534 + 0.136925i
\(411\) 6.46223 + 3.73097i 0.318759 + 0.184035i
\(412\) 2.20609 + 3.82106i 0.108686 + 0.188250i
\(413\) 5.73496 3.31108i 0.282199 0.162928i
\(414\) 6.49104i 0.319017i
\(415\) −34.1358 + 19.7083i −1.67566 + 0.967443i
\(416\) −15.2490 26.4120i −0.747642 1.29495i
\(417\) 6.19851 + 10.7361i 0.303542 + 0.525751i
\(418\) −2.80750 1.62091i −0.137320 0.0792815i
\(419\) 16.5496i 0.808503i 0.914648 + 0.404252i \(0.132468\pi\)
−0.914648 + 0.404252i \(0.867532\pi\)
\(420\) −14.7498 8.51577i −0.719714 0.415527i
\(421\) −3.03867 5.26312i −0.148096 0.256509i 0.782428 0.622741i \(-0.213981\pi\)
−0.930524 + 0.366232i \(0.880648\pi\)
\(422\) 36.3776i 1.77083i
\(423\) 2.28698 + 3.96116i 0.111197 + 0.192598i
\(424\) 0.780474 1.35182i 0.0379032 0.0656502i
\(425\) −7.61001 + 2.97274i −0.369140 + 0.144199i
\(426\) 27.2248 1.31905
\(427\) −3.78211 + 6.55081i −0.183029 + 0.317016i
\(428\) 11.9836i 0.579249i
\(429\) −3.41515 −0.164885
\(430\) 21.9781 20.6194i 1.05988 0.994358i
\(431\) 0.645298i 0.0310829i −0.999879 0.0155415i \(-0.995053\pi\)
0.999879 0.0155415i \(-0.00494720\pi\)
\(432\) 27.8977i 1.34223i
\(433\) 5.55956 9.62944i 0.267175 0.462761i −0.700956 0.713205i \(-0.747243\pi\)
0.968131 + 0.250443i \(0.0805764\pi\)
\(434\) 56.7061 2.72198
\(435\) 23.4607 + 13.5450i 1.12485 + 0.649434i
\(436\) 1.26771 + 0.731914i 0.0607124 + 0.0350523i
\(437\) −9.47331 + 5.46942i −0.453170 + 0.261638i
\(438\) −18.5804 −0.887808
\(439\) 8.88525 5.12990i 0.424070 0.244837i −0.272747 0.962086i \(-0.587932\pi\)
0.696817 + 0.717249i \(0.254599\pi\)
\(440\) −1.04139 + 1.80374i −0.0496462 + 0.0859897i
\(441\) −23.5437 −1.12113
\(442\) −38.4038 + 15.0019i −1.82668 + 0.713566i
\(443\) 3.20137 + 5.54494i 0.152102 + 0.263448i 0.932000 0.362458i \(-0.118062\pi\)
−0.779898 + 0.625907i \(0.784729\pi\)
\(444\) 0.0873076 + 0.151221i 0.00414343 + 0.00717664i
\(445\) 0.934789 0.539701i 0.0443133 0.0255843i
\(446\) −37.4965 −1.77551
\(447\) −3.92719 + 2.26736i −0.185750 + 0.107243i
\(448\) 3.29022 1.89961i 0.155448 0.0897482i
\(449\) −15.2670 8.81438i −0.720492 0.415976i 0.0944415 0.995530i \(-0.469893\pi\)
−0.814934 + 0.579554i \(0.803227\pi\)
\(450\) −2.35682 + 4.08212i −0.111101 + 0.192433i
\(451\) 0.323879 0.0152508
\(452\) 3.17214i 0.149205i
\(453\) 20.3576 + 11.7535i 0.956484 + 0.552226i
\(454\) −26.1441 15.0943i −1.22700 0.708411i
\(455\) 37.3759 + 64.7370i 1.75221 + 3.03492i
\(456\) −7.52006 + 4.34171i −0.352159 + 0.203319i
\(457\) −39.4663 −1.84616 −0.923079 0.384611i \(-0.874336\pi\)
−0.923079 + 0.384611i \(0.874336\pi\)
\(458\) −20.7826 35.9965i −0.971105 1.68200i
\(459\) 22.7455 + 3.46538i 1.06167 + 0.161750i
\(460\) −3.69603 6.40172i −0.172328 0.298482i
\(461\) 0.750772 1.30037i 0.0349669 0.0605645i −0.848012 0.529976i \(-0.822201\pi\)
0.882979 + 0.469412i \(0.155534\pi\)
\(462\) 5.08421i 0.236539i
\(463\) 9.80123 16.9762i 0.455502 0.788952i −0.543215 0.839594i \(-0.682793\pi\)
0.998717 + 0.0506412i \(0.0161265\pi\)
\(464\) 34.7435 20.0591i 1.61292 0.931223i
\(465\) 22.3661i 1.03720i
\(466\) 18.4929 10.6769i 0.856669 0.494598i
\(467\) 11.7347 20.3250i 0.543015 0.940530i −0.455714 0.890126i \(-0.650616\pi\)
0.998729 0.0504033i \(-0.0160507\pi\)
\(468\) −4.03074 + 6.98145i −0.186321 + 0.322718i
\(469\) 59.0402i 2.72622i
\(470\) −13.3108 7.68499i −0.613981 0.354482i
\(471\) 3.03459i 0.139827i
\(472\) 2.28156 0.105017
\(473\) −2.91827 0.882570i −0.134182 0.0405806i
\(474\) 36.9821 1.69864
\(475\) −7.94351 −0.364473
\(476\) 7.56884 + 19.3757i 0.346917 + 0.888086i
\(477\) −1.25919 −0.0576545
\(478\) 14.5211 25.1513i 0.664179 1.15039i
\(479\) 11.8129 + 6.82021i 0.539747 + 0.311623i 0.744977 0.667091i \(-0.232461\pi\)
−0.205229 + 0.978714i \(0.565794\pi\)
\(480\) −8.95396 15.5087i −0.408690 0.707872i
\(481\) 0.766390i 0.0349444i
\(482\) −1.49879 + 0.865328i −0.0682681 + 0.0394146i
\(483\) 14.8571 + 8.57777i 0.676023 + 0.390302i
\(484\) 11.0562 0.502554
\(485\) 4.76737 8.25734i 0.216475 0.374946i
\(486\) 19.3920 11.1960i 0.879639 0.507860i
\(487\) −22.4929 + 12.9863i −1.01925 + 0.588464i −0.913887 0.405969i \(-0.866934\pi\)
−0.105363 + 0.994434i \(0.533601\pi\)
\(488\) −2.25697 + 1.30306i −0.102168 + 0.0589870i
\(489\) 1.90616 0.0861996
\(490\) 68.5152 39.5573i 3.09520 1.78702i
\(491\) −7.80951 13.5265i −0.352438 0.610441i 0.634238 0.773138i \(-0.281314\pi\)
−0.986676 + 0.162697i \(0.947981\pi\)
\(492\) −0.456242 + 0.790235i −0.0205690 + 0.0356265i
\(493\) −12.0388 30.8187i −0.542202 1.38800i
\(494\) −40.0868 −1.80359
\(495\) 1.68014 0.0755168
\(496\) 28.6850 + 16.5613i 1.28799 + 0.743623i
\(497\) −30.1431 + 52.2093i −1.35210 + 2.34191i
\(498\) −28.7093 + 16.5753i −1.28649 + 0.742758i
\(499\) −6.26331 + 3.61612i −0.280384 + 0.161880i −0.633597 0.773663i \(-0.718422\pi\)
0.353213 + 0.935543i \(0.385089\pi\)
\(500\) 8.17703i 0.365688i
\(501\) 2.93838 + 5.08942i 0.131277 + 0.227379i
\(502\) −0.823458 1.42627i −0.0367527 0.0636576i
\(503\) 18.3262 10.5806i 0.817124 0.471767i −0.0322998 0.999478i \(-0.510283\pi\)
0.849424 + 0.527712i \(0.176950\pi\)
\(504\) −9.88136 5.70501i −0.440151 0.254121i
\(505\) 25.5346i 1.13627i
\(506\) −1.10333 + 1.91102i −0.0490490 + 0.0849553i
\(507\) −22.1882 + 12.8104i −0.985413 + 0.568929i
\(508\) −20.3574 −0.903212
\(509\) −5.61347 9.72282i −0.248813 0.430956i 0.714384 0.699754i \(-0.246707\pi\)
−0.963197 + 0.268798i \(0.913374\pi\)
\(510\) −22.5501 + 8.80886i −0.998536 + 0.390063i
\(511\) 20.5721 35.6319i 0.910055 1.57626i
\(512\) −9.56846 −0.422870
\(513\) 19.3731 + 11.1850i 0.855341 + 0.493831i
\(514\) −41.2733 −1.82049
\(515\) 11.3709i 0.501063i
\(516\) 6.26431 5.87706i 0.275771 0.258723i
\(517\) 1.55494i 0.0683860i
\(518\) −1.14094 −0.0501301
\(519\) 4.59010 7.95029i 0.201483 0.348979i
\(520\) 25.7545i 1.12941i
\(521\) 13.2369 + 7.64230i 0.579917 + 0.334815i 0.761100 0.648634i \(-0.224659\pi\)
−0.181183 + 0.983449i \(0.557993\pi\)
\(522\) −16.5316 9.54452i −0.723568 0.417752i
\(523\) −2.47029 4.27866i −0.108018 0.187093i 0.806949 0.590621i \(-0.201117\pi\)
−0.914967 + 0.403528i \(0.867784\pi\)
\(524\) 14.9642i 0.653714i
\(525\) 6.22896 + 10.7889i 0.271854 + 0.470865i
\(526\) 15.6120 27.0407i 0.680714 1.17903i
\(527\) 17.0659 21.3302i 0.743401 0.929157i
\(528\) −1.48486 + 2.57186i −0.0646204 + 0.111926i
\(529\) −7.77706 13.4703i −0.338133 0.585663i
\(530\) 3.66441 2.11565i 0.159172 0.0918978i
\(531\) −0.920249 1.59392i −0.0399354 0.0691701i
\(532\) 20.2249i 0.876859i
\(533\) 3.46836 2.00246i 0.150231 0.0867361i
\(534\) 0.786188 0.453906i 0.0340217 0.0196424i
\(535\) −15.4419 + 26.7461i −0.667610 + 1.15633i
\(536\) 10.1707 17.6161i 0.439306 0.760900i
\(537\) 17.3241i 0.747590i
\(538\) 17.4790i 0.753573i
\(539\) −6.93149 4.00190i −0.298560 0.172374i
\(540\) −7.55844 + 13.0916i −0.325264 + 0.563373i
\(541\) −15.0559 + 8.69254i −0.647304 + 0.373721i −0.787423 0.616413i \(-0.788585\pi\)
0.140118 + 0.990135i \(0.455252\pi\)
\(542\) 10.7592 + 18.6354i 0.462145 + 0.800459i
\(543\) 7.78763 0.334199
\(544\) −3.29428 + 21.6225i −0.141241 + 0.927055i
\(545\) −1.88626 3.26711i −0.0807987 0.139947i
\(546\) 31.4344 + 54.4459i 1.34527 + 2.33007i
\(547\) 24.3601 + 14.0643i 1.04156 + 0.601347i 0.920276 0.391271i \(-0.127964\pi\)
0.121287 + 0.992617i \(0.461298\pi\)
\(548\) 5.98795 0.255793
\(549\) 1.82067 + 1.05116i 0.0777042 + 0.0448625i
\(550\) −1.38774 + 0.801210i −0.0591733 + 0.0341637i
\(551\) 32.1692i 1.37046i
\(552\) 2.95533 + 5.11878i 0.125787 + 0.217870i
\(553\) −40.9462 + 70.9208i −1.74121 + 3.01586i
\(554\) −2.29166 1.32309i −0.0973632 0.0562127i
\(555\) 0.450012i 0.0191020i
\(556\) 8.61537 + 4.97409i 0.365373 + 0.210948i
\(557\) 24.5275 1.03926 0.519632 0.854390i \(-0.326069\pi\)
0.519632 + 0.854390i \(0.326069\pi\)
\(558\) 15.7603i 0.667188i
\(559\) −36.7080 + 8.59163i −1.55258 + 0.363387i
\(560\) 65.0024 2.74685
\(561\) 1.91244 + 1.53011i 0.0807432 + 0.0646012i
\(562\) −16.8704 + 29.2205i −0.711636 + 1.23259i
\(563\) −17.9729 −0.757469 −0.378734 0.925505i \(-0.623641\pi\)
−0.378734 + 0.925505i \(0.623641\pi\)
\(564\) −3.79391 2.19041i −0.159752 0.0922331i
\(565\) 4.08756 7.07986i 0.171965 0.297852i
\(566\) −26.8117 + 15.4797i −1.12698 + 0.650662i
\(567\) 14.8933i 0.625461i
\(568\) −17.9879 + 10.3853i −0.754754 + 0.435758i
\(569\) −19.9512 + 34.5564i −0.836396 + 1.44868i 0.0564930 + 0.998403i \(0.482008\pi\)
−0.892889 + 0.450277i \(0.851325\pi\)
\(570\) −23.5383 −0.985912
\(571\) 31.4003 + 18.1290i 1.31406 + 0.758674i 0.982766 0.184853i \(-0.0591808\pi\)
0.331296 + 0.943527i \(0.392514\pi\)
\(572\) −2.37337 + 1.37027i −0.0992358 + 0.0572938i
\(573\) 24.7232 14.2740i 1.03283 0.596303i
\(574\) −2.98111 5.16343i −0.124429 0.215517i
\(575\) 5.40701i 0.225488i
\(576\) −0.527959 0.914452i −0.0219983 0.0381022i
\(577\) 12.8925 + 22.3304i 0.536721 + 0.929628i 0.999078 + 0.0429341i \(0.0136705\pi\)
−0.462357 + 0.886694i \(0.652996\pi\)
\(578\) 28.2270 + 8.80541i 1.17409 + 0.366257i
\(579\) −6.63575 + 11.4934i −0.275772 + 0.477651i
\(580\) 21.7388 0.902655
\(581\) 73.4081i 3.04548i
\(582\) 4.00952 6.94468i 0.166200 0.287866i
\(583\) −0.370718 0.214034i −0.0153536 0.00886438i
\(584\) 12.2764 7.08777i 0.508000 0.293294i
\(585\) 17.9924 10.3879i 0.743893 0.429487i
\(586\) 34.9188 1.44248
\(587\) −19.2094 33.2717i −0.792858 1.37327i −0.924190 0.381932i \(-0.875259\pi\)
0.131332 0.991338i \(-0.458075\pi\)
\(588\) 19.5285 11.2748i 0.805344 0.464965i
\(589\) 23.0013 13.2798i 0.947753 0.547185i
\(590\) 5.35608 + 3.09233i 0.220506 + 0.127309i
\(591\) −12.1299 −0.498959
\(592\) −0.577149 0.333217i −0.0237207 0.0136951i
\(593\) 23.1319 + 40.0657i 0.949915 + 1.64530i 0.745598 + 0.666396i \(0.232164\pi\)
0.204317 + 0.978905i \(0.434503\pi\)
\(594\) 4.51265 0.185156
\(595\) 8.07443 52.9976i 0.331019 2.17269i
\(596\) −1.81948 + 3.15143i −0.0745288 + 0.129088i
\(597\) −3.15565 + 5.46575i −0.129152 + 0.223698i
\(598\) 27.2864i 1.11582i
\(599\) 3.44471 5.96642i 0.140747 0.243781i −0.787031 0.616913i \(-0.788383\pi\)
0.927778 + 0.373132i \(0.121716\pi\)
\(600\) 4.29217i 0.175227i
\(601\) 35.3793i 1.44315i −0.692335 0.721576i \(-0.743418\pi\)
0.692335 0.721576i \(-0.256582\pi\)
\(602\) 12.7906 + 54.6480i 0.521304 + 2.22728i
\(603\) −16.4090 −0.668228
\(604\) 18.8635 0.767545
\(605\) −24.6762 14.2468i −1.00323 0.579216i
\(606\) 21.4754i 0.872379i
\(607\) 2.99206 + 1.72746i 0.121444 + 0.0701156i 0.559491 0.828836i \(-0.310997\pi\)
−0.438048 + 0.898952i \(0.644330\pi\)
\(608\) −10.6328 + 18.4165i −0.431216 + 0.746887i
\(609\) −43.6923 + 25.2258i −1.77050 + 1.02220i
\(610\) −7.06449 −0.286033
\(611\) 9.61378 + 16.6516i 0.388932 + 0.673650i
\(612\) 5.38510 2.10361i 0.217680 0.0850333i
\(613\) 43.5529 1.75908 0.879542 0.475822i \(-0.157849\pi\)
0.879542 + 0.475822i \(0.157849\pi\)
\(614\) 16.4236 28.4466i 0.662804 1.14801i
\(615\) 2.03657 1.17581i 0.0821223 0.0474133i
\(616\) −1.93944 3.35921i −0.0781424 0.135347i
\(617\) −32.8518 + 18.9670i −1.32256 + 0.763581i −0.984137 0.177412i \(-0.943228\pi\)
−0.338425 + 0.940993i \(0.609894\pi\)
\(618\) 9.56332i 0.384693i
\(619\) 20.6029 11.8951i 0.828099 0.478103i −0.0251026 0.999685i \(-0.507991\pi\)
0.853201 + 0.521582i \(0.174658\pi\)
\(620\) 8.97402 + 15.5435i 0.360405 + 0.624240i
\(621\) 7.61347 13.1869i 0.305518 0.529173i
\(622\) −10.2005 5.88924i −0.409001 0.236137i
\(623\) 2.01024i 0.0805385i
\(624\) 36.7222i 1.47006i
\(625\) 15.4906 26.8305i 0.619624 1.07322i
\(626\) −14.6132 8.43693i −0.584061 0.337208i
\(627\) 1.19065 + 2.06227i 0.0475501 + 0.0823592i
\(628\) −1.21758 2.10890i −0.0485866 0.0841545i
\(629\) −0.343370 + 0.429169i −0.0136911 + 0.0171121i
\(630\) −15.4647 26.7856i −0.616128 1.06716i
\(631\) 15.6687 + 27.1389i 0.623759 + 1.08038i 0.988779 + 0.149383i \(0.0477288\pi\)
−0.365020 + 0.931000i \(0.618938\pi\)
\(632\) −24.4346 + 14.1073i −0.971956 + 0.561159i
\(633\) 13.3607 23.1414i 0.531040 0.919788i
\(634\) 26.8468i 1.06622i
\(635\) 45.4354 + 26.2321i 1.80305 + 1.04099i
\(636\) 1.04445 0.603012i 0.0414151 0.0239110i
\(637\) −98.9708 −3.92137
\(638\) −3.24470 5.61999i −0.128459 0.222497i
\(639\) 14.5105 + 8.37766i 0.574028 + 0.331415i
\(640\) 27.3501 + 15.7906i 1.08111 + 0.624177i
\(641\) 19.8019i 0.782127i −0.920364 0.391063i \(-0.872107\pi\)
0.920364 0.391063i \(-0.127893\pi\)
\(642\) −12.9871 + 22.4943i −0.512560 + 0.887779i
\(643\) 0.687514i 0.0271129i 0.999908 + 0.0135564i \(0.00431528\pi\)
−0.999908 + 0.0135564i \(0.995685\pi\)
\(644\) 13.7667 0.542485
\(645\) −21.5543 + 5.04487i −0.848701 + 0.198642i
\(646\) 22.4481 + 17.9603i 0.883208 + 0.706638i
\(647\) 7.84306 0.308343 0.154171 0.988044i \(-0.450729\pi\)
0.154171 + 0.988044i \(0.450729\pi\)
\(648\) 2.56563 4.44380i 0.100787 0.174569i
\(649\) 0.625685i 0.0245603i
\(650\) −9.90735 + 17.1600i −0.388598 + 0.673072i
\(651\) −36.0733 20.8269i −1.41382 0.816272i
\(652\) 1.32470 0.764814i 0.0518791 0.0299524i
\(653\) 16.9247i 0.662314i −0.943576 0.331157i \(-0.892561\pi\)
0.943576 0.331157i \(-0.107439\pi\)
\(654\) −1.58641 2.74774i −0.0620335 0.107445i
\(655\) −19.2826 + 33.3985i −0.753434 + 1.30499i
\(656\) 3.48258i 0.135972i
\(657\) −9.90317 5.71760i −0.386359 0.223065i
\(658\) 24.7895 14.3122i 0.966397 0.557950i
\(659\) 3.15425 + 5.46333i 0.122872 + 0.212821i 0.920899 0.389801i \(-0.127456\pi\)
−0.798027 + 0.602622i \(0.794123\pi\)
\(660\) −1.39361 + 0.804600i −0.0542461 + 0.0313190i
\(661\) 17.8715 0.695121 0.347561 0.937657i \(-0.387010\pi\)
0.347561 + 0.937657i \(0.387010\pi\)
\(662\) 29.0441 + 50.3059i 1.12883 + 1.95519i
\(663\) 29.9403 + 4.56153i 1.16278 + 0.177155i
\(664\) 12.6458 21.9031i 0.490751 0.850006i
\(665\) 26.0614 45.1397i 1.01062 1.75044i
\(666\) 0.317102i 0.0122875i
\(667\) −21.8971 −0.847858
\(668\) 4.08409 + 2.35795i 0.158018 + 0.0912317i
\(669\) 23.8532 + 13.7717i 0.922218 + 0.532443i
\(670\) 47.7524 27.5698i 1.84484 1.06512i
\(671\) 0.357347 + 0.618944i 0.0137952 + 0.0238941i
\(672\) 33.3511 1.28654
\(673\) 4.80215 2.77252i 0.185109 0.106873i −0.404582 0.914502i \(-0.632583\pi\)
0.589691 + 0.807629i \(0.299250\pi\)
\(674\) −24.7438 + 14.2858i −0.953095 + 0.550270i
\(675\) 9.57600 5.52871i 0.368581 0.212800i
\(676\) −10.2799 + 17.8053i −0.395380 + 0.684818i
\(677\) 19.6513i 0.755261i 0.925956 + 0.377630i \(0.123261\pi\)
−0.925956 + 0.377630i \(0.876739\pi\)
\(678\) 3.43777 5.95439i 0.132027 0.228677i
\(679\) 8.87859 + 15.3782i 0.340729 + 0.590160i
\(680\) 11.5389 14.4222i 0.442498 0.553066i
\(681\) 11.0876 + 19.2043i 0.424879 + 0.735911i
\(682\) 2.67890 4.63999i 0.102580 0.177674i
\(683\) −39.7388 22.9432i −1.52056 0.877898i −0.999706 0.0242547i \(-0.992279\pi\)
−0.520858 0.853643i \(-0.674388\pi\)
\(684\) 5.62109 0.214928
\(685\) −13.3645 7.71597i −0.510630 0.294812i
\(686\) 87.4274i 3.33799i
\(687\) 30.5319i 1.16487i
\(688\) −9.49004 + 31.3794i −0.361804 + 1.19633i
\(689\) −5.29327 −0.201658
\(690\) 16.0222i 0.609953i
\(691\) −4.16512 2.40473i −0.158449 0.0914803i 0.418679 0.908134i \(-0.362493\pi\)
−0.577128 + 0.816654i \(0.695827\pi\)
\(692\) 7.36679i 0.280043i
\(693\) −1.56452 + 2.70983i −0.0594311 + 0.102938i
\(694\) −16.3552 9.44267i −0.620835 0.358439i
\(695\) −12.8190 22.2032i −0.486254 0.842217i
\(696\) −17.3822 −0.658872
\(697\) −2.83941 0.432597i −0.107550 0.0163858i
\(698\) −26.1331 + 45.2639i −0.989153 + 1.71326i
\(699\) −15.6856 −0.593284
\(700\) 8.65770 + 4.99852i 0.327230 + 0.188926i
\(701\) 17.5214 + 30.3480i 0.661774 + 1.14623i 0.980149 + 0.198262i \(0.0635296\pi\)
−0.318375 + 0.947965i \(0.603137\pi\)
\(702\) 48.3252 27.9006i 1.82392 1.05304i
\(703\) −0.462792 + 0.267193i −0.0174545 + 0.0100774i
\(704\) 0.358964i 0.0135290i
\(705\) 5.64506 + 9.77753i 0.212605 + 0.368243i
\(706\) 8.74085 + 15.1396i 0.328966 + 0.569786i
\(707\) −41.1836 23.7774i −1.54887 0.894239i
\(708\) 1.52662 + 0.881393i 0.0573738 + 0.0331248i
\(709\) 5.89803i 0.221505i 0.993848 + 0.110753i \(0.0353261\pi\)
−0.993848 + 0.110753i \(0.964674\pi\)
\(710\) −56.3033 −2.11303
\(711\) 19.7110 + 11.3802i 0.739221 + 0.426790i
\(712\) −0.346297 + 0.599805i −0.0129780 + 0.0224786i
\(713\) −9.03935 15.6566i −0.338526 0.586345i
\(714\) 6.79085 44.5727i 0.254141 1.66809i
\(715\) 7.06282 0.264134
\(716\) −6.95099 12.0395i −0.259771 0.449936i
\(717\) −18.4750 + 10.6666i −0.689963 + 0.398350i
\(718\) −6.06112 10.4982i −0.226199 0.391788i
\(719\) 28.7628 + 16.6062i 1.07267 + 0.619306i 0.928910 0.370306i \(-0.120747\pi\)
0.143760 + 0.989613i \(0.454081\pi\)
\(720\) 18.0661i 0.673285i
\(721\) 18.3397 + 10.5884i 0.683005 + 0.394333i
\(722\) −2.54779 4.41290i −0.0948189 0.164231i
\(723\) 1.27127 0.0472789
\(724\) 5.41205 3.12465i 0.201137 0.116127i
\(725\) −13.7708 7.95055i −0.511433 0.295276i
\(726\) −20.7535 11.9820i −0.770235 0.444695i
\(727\) 27.7324 1.02854 0.514268 0.857629i \(-0.328064\pi\)
0.514268 + 0.857629i \(0.328064\pi\)
\(728\) −41.5383 23.9822i −1.53951 0.888838i
\(729\) −25.5279 −0.945478
\(730\) 38.4259 1.42221
\(731\) 24.4053 + 11.6353i 0.902664 + 0.430346i
\(732\) −2.01356 −0.0744232
\(733\) 28.6595 1.05856 0.529282 0.848446i \(-0.322461\pi\)
0.529282 + 0.848446i \(0.322461\pi\)
\(734\) −52.4213 30.2654i −1.93490 1.11712i
\(735\) −58.1141 −2.14357
\(736\) 12.5358 + 7.23755i 0.462076 + 0.266780i
\(737\) −4.83097 2.78916i −0.177951 0.102740i
\(738\) −1.43507 + 0.828538i −0.0528257 + 0.0304989i
\(739\) 34.4049 1.26560 0.632802 0.774314i \(-0.281905\pi\)
0.632802 + 0.774314i \(0.281905\pi\)
\(740\) −0.180560 0.312738i −0.00663750 0.0114965i
\(741\) 25.5010 + 14.7230i 0.936803 + 0.540863i
\(742\) 7.88021i 0.289292i
\(743\) 12.3685 + 7.14096i 0.453757 + 0.261977i 0.709415 0.704791i \(-0.248959\pi\)
−0.255659 + 0.966767i \(0.582292\pi\)
\(744\) −7.17558 12.4285i −0.263069 0.455650i
\(745\) 8.12177 4.68911i 0.297559 0.171796i
\(746\) −0.684277 1.18520i −0.0250532 0.0433933i
\(747\) −20.4023 −0.746482
\(748\) 1.94299 + 0.296023i 0.0710427 + 0.0108237i
\(749\) −28.7584 49.8109i −1.05081 1.82005i
\(750\) 8.86177 15.3490i 0.323586 0.560468i
\(751\) −27.0825 15.6361i −0.988253 0.570568i −0.0835014 0.996508i \(-0.526610\pi\)
−0.904752 + 0.425940i \(0.859944\pi\)
\(752\) 16.7198 0.609709
\(753\) 1.20975i 0.0440859i
\(754\) −69.4939 40.1223i −2.53082 1.46117i
\(755\) −42.1013 24.3072i −1.53222 0.884629i
\(756\) −14.0766 24.3813i −0.511960 0.886741i
\(757\) −0.527904 0.914356i −0.0191870 0.0332328i 0.856272 0.516524i \(-0.172774\pi\)
−0.875459 + 0.483292i \(0.839441\pi\)
\(758\) 52.6208i 1.91127i
\(759\) 1.40375 0.810458i 0.0509531 0.0294178i
\(760\) 15.5521 8.97903i 0.564135 0.325704i
\(761\) −22.4852 38.9455i −0.815088 1.41177i −0.909265 0.416218i \(-0.863355\pi\)
0.0941768 0.995555i \(-0.469978\pi\)
\(762\) 38.2126 + 22.0621i 1.38430 +