Properties

Label 731.2.j.a.135.15
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 135.15
Character \(\chi\) = 731.135
Dual form 731.2.j.a.509.15

$q$-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} +(3.84048 + 1.50023i) 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} +(-6.67986 - 2.60938i) 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} +(3.93748 + 1.53812i) 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 0.145342 0.989382i \(-0.453572\pi\)
−0.784159 + 0.620560i \(0.786905\pi\)
\(4\) 1.02526 0.512628
\(5\) 2.28826 + 1.32113i 1.02334 + 0.590827i 0.915070 0.403295i \(-0.132135\pi\)
0.108272 + 0.994121i \(0.465468\pi\)
\(6\) 1.92450 + 1.11111i 0.785675 + 0.453609i
\(7\) −4.26158 + 2.46042i −1.61072 + 0.929952i −0.621522 + 0.783396i \(0.713486\pi\)
−0.989202 + 0.146556i \(0.953181\pi\)
\(8\) 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 \(0.0223293\pi\)
−0.997541 + 0.0700922i \(0.977671\pi\)
\(12\) −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
\(17\) 3.84048 + 1.50023i 0.931454 + 0.363859i
\(18\) 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 0.232966 0.972485i \(-0.425157\pi\)
−0.725714 + 0.687997i \(0.758490\pi\)
\(24\) −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 0.311761 0.950161i \(-0.399081\pi\)
0.978744 + 0.205087i \(0.0657479\pi\)
\(30\) 2.93584 + 5.08503i 0.536009 + 0.928395i
\(31\) 5.73772 + 3.31268i 1.03053 + 0.594974i 0.917135 0.398576i \(-0.130496\pi\)
0.113391 + 0.993550i \(0.463829\pi\)
\(32\) 5.30473 0.937753
\(33\) 0.297011 0.514438i 0.0517030 0.0895521i
\(34\) −6.67986 2.60938i −1.14559 0.447506i
\(35\) −13.0021 −2.19776
\(36\) −0.701097 1.21433i −0.116849 0.202389i
\(37\) −0.115445 0.0666519i −0.0189790 0.0109575i 0.490481 0.871452i \(-0.336821\pi\)
−0.509459 + 0.860495i \(0.670155\pi\)
\(38\) 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 \(-0.982677\pi\)
0.998519 0.0543957i \(-0.0173232\pi\)
\(42\) −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 −0.412349 0.911026i \(-0.635292\pi\)
0.582797 + 0.812618i \(0.301958\pi\)
\(62\) −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 \(-0.0951638\pi\)
\(68\) 3.93748 + 1.53812i 0.477490 + 0.186524i
\(69\) 1.74315 + 3.01922i 0.209851 + 0.363472i
\(70\) 22.6150 2.70301
\(71\) 10.6098 6.12559i 1.25916 0.726974i 0.286245 0.958157i \(-0.407593\pi\)
0.972910 + 0.231183i \(0.0742596\pi\)
\(72\) −1.15936 2.00806i −0.136631 0.236652i
\(73\) −7.24101 + 4.18060i −0.847496 + 0.489302i −0.859805 0.510622i \(-0.829415\pi\)
0.0123093 + 0.999924i \(0.496082\pi\)
\(74\) 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 \(-0.281001\pi\)
0.986516 0.163667i \(-0.0523322\pi\)
\(80\) −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 \(-0.941355\pi\)
0.983076 0.183197i \(-0.0586446\pi\)
\(98\) −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 \(0.191116\pi\)
−0.825105 + 0.564979i \(0.808884\pi\)
\(108\) 5.72120i 0.550523i
\(109\) −1.23648 0.713884i −0.118434 0.0683777i 0.439613 0.898187i \(-0.355116\pi\)
−0.558047 + 0.829810i \(0.688449\pi\)
\(110\) 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 \(-0.953512\pi\)
0.989354 0.145529i \(-0.0464884\pi\)
\(114\) −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
\(119\) −20.0577 + 3.05588i −1.83869 + 0.280132i
\(120\) −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 \(0.220077\pi\)
−0.770359 + 0.637610i \(0.779923\pi\)
\(132\) 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
\(136\) 6.51114 + 2.54348i 0.558326 + 0.218102i
\(137\) 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 0.0993319 0.995054i \(-0.468329\pi\)
−0.812076 + 0.583551i \(0.801663\pi\)
\(140\) −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
\(153\) −0.849321 5.57464i −0.0686635 0.450683i
\(154\) 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 −0.549747 0.835331i \(-0.685276\pi\)
0.448545 + 0.893760i \(0.351942\pi\)
\(164\) 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 0.337893 0.941185i \(-0.390286\pi\)
−0.646143 + 0.763216i \(0.723619\pi\)
\(168\) 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 \(0.0880638\pi\)
−0.961973 + 0.273145i \(0.911936\pi\)
\(174\) 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 −0.683184 0.730246i \(-0.739405\pi\)
0.290819 + 0.956778i \(0.406072\pi\)
\(182\) −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
\(187\) −0.697514 + 1.78559i −0.0510073 + 0.130575i
\(188\) −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 \(-0.878035\pi\)
0.927487 0.373856i \(-0.121965\pi\)
\(194\) 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 −0.177635 0.984097i \(-0.556845\pi\)
0.763435 + 0.645884i \(0.223511\pi\)
\(198\) −0.957817 + 0.552996i −0.0680691 + 0.0392997i
\(199\) 4.93984i 0.350176i −0.984553 0.175088i \(-0.943979\pi\)
0.984553 0.175088i \(-0.0560209\pi\)
\(200\) 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 \(0.255819\pi\)
−0.694062 + 0.719915i \(0.744181\pi\)
\(212\) 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
\(221\) −3.57029 23.4341i −0.240164 1.57635i
\(222\) −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 −0.0901000 0.995933i \(-0.528719\pi\)
−0.907553 + 0.419938i \(0.862052\pi\)
\(228\) 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 −0.109516 0.993985i \(-0.534930\pi\)
0.806058 + 0.591837i \(0.201597\pi\)
\(234\) 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
\(238\) 34.8869 5.31518i 2.26138 0.344532i
\(239\) −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 −0.527497 0.849557i \(-0.676869\pi\)
0.471989 + 0.881604i \(0.343536\pi\)
\(242\) −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
\(255\) −2.09642 13.7602i −0.131283 0.861694i
\(256\) 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 \(0.0991104\pi\)
−0.951916 + 0.306358i \(0.900890\pi\)
\(270\) 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 \(0.955952\pi\)
\(272\) −19.2000 7.50018i −1.16417 0.454765i
\(273\) −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 0.459895 0.887973i \(-0.347887\pi\)
−0.539060 + 0.842268i \(0.681220\pi\)
\(278\) 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 −0.882461 0.470386i \(-0.844115\pi\)
−0.0338645 + 0.999426i \(0.510781\pi\)
\(284\) 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
\(289\) 12.4986 + 11.5232i 0.735214 + 0.677835i
\(290\) −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
\(306\) 1.47725 + 9.69612i 0.0844486 + 0.554290i
\(307\) −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 0.324422 0.945912i \(-0.394830\pi\)
−0.656973 + 0.753914i \(0.728164\pi\)
\(312\) 12.4533i 0.705030i
\(313\) −8.40164 4.85069i −0.474889 0.274177i 0.243395 0.969927i \(-0.421739\pi\)
−0.718284 + 0.695750i \(0.755072\pi\)
\(314\) 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 \(0.142709\pi\)
−0.901171 + 0.433463i \(0.857291\pi\)
\(318\) 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 −0.834635 0.550803i \(-0.814322\pi\)
0.0596915 + 0.998217i \(0.480988\pi\)
\(338\) 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 0.225900 0.974150i \(-0.427468\pi\)
−0.730689 + 0.682711i \(0.760801\pi\)
\(348\) −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
\(357\) 24.1453 + 9.43199i 1.27790 + 0.499194i
\(358\) 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 \(-0.970709\pi\)
−0.577465 0.816416i \(-0.695958\pi\)
\(368\) 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 \(0.826849\pi\)
\(374\) 1.21320 3.10572i 0.0627333 0.160593i
\(375\) −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 \(-0.716735\pi\)
0.629487 0.777011i \(-0.283265\pi\)
\(380\) −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 0.998368 0.0571168i \(-0.0181907\pi\)
0.449719 + 0.893170i \(0.351524\pi\)
\(398\) 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 −0.801159 0.598451i \(-0.795783\pi\)
0.117694 + 0.993050i \(0.462450\pi\)
\(402\) 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 \(-0.867532\pi\)
0.914648 0.404252i \(-0.132468\pi\)
\(420\) 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
\(425\) 1.23054 + 8.07683i 0.0596900 + 0.391784i
\(426\) 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 \(0.00494720\pi\)
−0.999879 + 0.0155415i \(0.995053\pi\)
\(432\) 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 −0.696817 0.717249i \(-0.745401\pi\)
0.272747 + 0.962086i \(0.412068\pi\)
\(440\) −1.04139 + 1.80374i −0.0496462 + 0.0859897i
\(441\) −23.5437 −1.12113
\(442\) 6.20991 + 40.7596i 0.295375 + 1.93874i
\(443\) 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 0.814934 0.579554i \(-0.196773\pi\)
−0.0944415 + 0.995530i \(0.530107\pi\)
\(450\) −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
\(459\) −8.37166 + 21.4309i −0.390755 + 1.00031i
\(460\) −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
\(476\) −20.5643 + 3.13306i −0.942563 + 0.143604i
\(477\) −1.25919 −0.0576545
\(478\) 14.5211 25.1513i 0.664179 1.15039i
\(479\) −11.8129 6.82021i −0.539747 0.311623i 0.205229 0.978714i \(-0.434206\pi\)
−0.744977 + 0.667091i \(0.767539\pi\)
\(480\) −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 0.105363 0.994434i \(-0.466399\pi\)
0.913887 + 0.405969i \(0.133066\pi\)
\(488\) 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
\(493\) 32.7092 4.98339i 1.47315 0.224440i
\(494\) −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 −0.353213 0.935543i \(-0.614911\pi\)
0.633597 + 0.773663i \(0.281578\pi\)
\(500\) 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 −0.849424 0.527712i \(-0.823050\pi\)
0.0322998 + 0.999478i \(0.489717\pi\)
\(504\) 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 \(0.913374\pi\)
\(510\) 3.64636 + 23.9334i 0.161464 + 1.05979i
\(511\) 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 0.181183 0.983449i \(-0.442007\pi\)
−0.761100 + 0.648634i \(0.775341\pi\)
\(522\) 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 −0.140118 0.990135i \(-0.544748\pi\)
0.787423 + 0.616413i \(0.211415\pi\)
\(542\) 10.7592 + 18.6354i 0.462145 + 0.800459i
\(543\) 7.78763 0.334199
\(544\) 20.3727 + 7.95830i 0.873474 + 0.341209i
\(545\) −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 −0.121287 0.992617i \(-0.538702\pi\)
−0.920276 + 0.391271i \(0.872036\pi\)
\(548\) 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 −0.331296 0.943527i \(-0.607486\pi\)
−0.982766 + 0.184853i \(0.940819\pi\)
\(572\) 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 \(0.652996\pi\)
\(578\) −21.7392 20.0426i −0.904232 0.833662i
\(579\) −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
\(595\) −49.9345 19.5062i −2.04712 0.799675i
\(596\) −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 \(0.256582\pi\)
−0.692335 + 0.721576i \(0.743418\pi\)
\(602\) −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 0.438048 0.898952i \(-0.355670\pi\)
−0.559491 + 0.828836i \(0.689003\pi\)
\(608\) −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
\(612\) −0.870772 5.71544i −0.0351989 0.231033i
\(613\) 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 0.338425 0.940993i \(-0.390106\pi\)
0.984137 + 0.177412i \(0.0567725\pi\)
\(618\) 9.56332i 0.384693i
\(619\) −20.6029 + 11.8951i −0.828099 + 0.478103i −0.853201 0.521582i \(-0.825342\pi\)
0.0251026 + 0.999685i \(0.492009\pi\)
\(620\) 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 \(0.127893\pi\)
−0.920364 + 0.391063i \(0.872107\pi\)
\(642\) −12.9871 + 22.4943i −0.512560 + 0.887779i
\(643\) 0.687514i 0.0271129i −0.999908 0.0135564i \(-0.995685\pi\)
0.999908 0.0135564i \(-0.00431528\pi\)
\(644\) 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 \(0.107439\pi\)
−0.943576 + 0.331157i \(0.892561\pi\)
\(654\) −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
\(663\) −11.0197 + 28.2098i −0.427971 + 1.09558i
\(664\) 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 −0.589691 0.807629i \(-0.700750\pi\)
0.404582 + 0.914502i \(0.367417\pi\)
\(674\) 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 \(-0.876739\pi\)
0.925956 0.377630i \(-0.123261\pi\)
\(678\) 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 \(0.00772128\pi\)
0.520858 + 0.853643i \(0.325612\pi\)
\(684\) 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 0.577128 0.816654i \(-0.304173\pi\)
−0.418679 + 0.908134i \(0.637507\pi\)
\(692\) 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
\(697\) 1.04507 2.67530i 0.0395847 0.101334i
\(698\) −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 \(-0.964674\pi\)
0.993848 0.110753i \(-0.0353261\pi\)
\(710\) −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
\(714\) −41.9965 16.4053i −1.57168 0.613953i
\(715\) 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 −0.143760 0.989613i \(-0.545919\pi\)
−0.928910 + 0.370306i \(0.879253\pi\)
\(720\) 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
\(731\) 16.7066 21.2577i 0.617917 0.786243i
\(732\) −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 0.255659 0.966767i \(-0.417708\pi\)
−0.709415 + 0.704791i \(0.751041\pi\)
\(744\) −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
\(748\) −0.715131 + 1.83069i −0.0261478 + 0.0669366i
\(749\) −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 0.904752 0.425940i \(-0.140056\pi\)
0.0835014 + 0.996508i \(0.473390\pi\)
\(752\) 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