Properties

Label 192.2.r.a.13.15
Level $192$
Weight $2$
Character 192.13
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 13.15
Character \(\chi\) \(=\) 192.13
Dual form 192.2.r.a.133.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.14999 - 0.823123i) q^{2} +(-0.831470 + 0.555570i) q^{3} +(0.644937 - 1.89316i) q^{4} +(1.87933 - 0.373823i) q^{5} +(-0.498876 + 1.32330i) q^{6} +(-0.0424280 - 0.102430i) q^{7} +(-0.816635 - 2.70797i) q^{8} +(0.382683 - 0.923880i) q^{9} +O(q^{10})\) \(q+(1.14999 - 0.823123i) q^{2} +(-0.831470 + 0.555570i) q^{3} +(0.644937 - 1.89316i) q^{4} +(1.87933 - 0.373823i) q^{5} +(-0.498876 + 1.32330i) q^{6} +(-0.0424280 - 0.102430i) q^{7} +(-0.816635 - 2.70797i) q^{8} +(0.382683 - 0.923880i) q^{9} +(1.85351 - 1.97681i) q^{10} +(-0.404530 + 0.605421i) q^{11} +(0.515538 + 1.93241i) q^{12} +(2.24636 + 0.446828i) q^{13} +(-0.133104 - 0.0828699i) q^{14} +(-1.35492 + 1.35492i) q^{15} +(-3.16811 - 2.44194i) q^{16} +(0.165279 + 0.165279i) q^{17} +(-0.320386 - 1.37744i) q^{18} +(-0.641904 + 3.22707i) q^{19} +(0.504345 - 3.79897i) q^{20} +(0.0921847 + 0.0615959i) q^{21} +(0.0331327 + 1.02920i) q^{22} +(-4.98518 - 2.06493i) q^{23} +(2.18348 + 1.79790i) q^{24} +(-1.22725 + 0.508343i) q^{25} +(2.95108 - 1.33518i) q^{26} +(0.195090 + 0.980785i) q^{27} +(-0.221280 + 0.0142619i) q^{28} +(0.724129 + 1.08374i) q^{29} +(-0.442875 + 2.67341i) q^{30} +9.25067i q^{31} +(-5.65330 - 0.200449i) q^{32} -0.728134i q^{33} +(0.326114 + 0.0540238i) q^{34} +(-0.118027 - 0.176640i) q^{35} +(-1.50225 - 1.32033i) q^{36} +(2.04609 + 10.2864i) q^{37} +(1.91809 + 4.23945i) q^{38} +(-2.11602 + 0.876485i) q^{39} +(-2.54703 - 4.78390i) q^{40} +(-7.84283 - 3.24861i) q^{41} +(0.156712 - 0.00504497i) q^{42} +(-0.570234 - 0.381018i) q^{43} +(0.885263 + 1.15630i) q^{44} +(0.373823 - 1.87933i) q^{45} +(-7.43257 + 1.72877i) q^{46} +(-2.61661 - 2.61661i) q^{47} +(3.99086 + 0.270288i) q^{48} +(4.94106 - 4.94106i) q^{49} +(-0.992890 + 1.59476i) q^{50} +(-0.229249 - 0.0456005i) q^{51} +(2.29468 - 3.96454i) q^{52} +(2.35939 - 3.53108i) q^{53} +(1.03166 + 0.967306i) q^{54} +(-0.533926 + 1.28901i) q^{55} +(-0.242730 + 0.198542i) q^{56} +(-1.25914 - 3.03983i) q^{57} +(1.72479 + 0.650234i) q^{58} +(12.7010 - 2.52639i) q^{59} +(1.69125 + 3.43893i) q^{60} +(-2.44281 + 1.63223i) q^{61} +(7.61444 + 10.6381i) q^{62} -0.110870 q^{63} +(-6.66621 + 4.42285i) q^{64} +4.38869 q^{65} +(-0.599344 - 0.837344i) q^{66} +(2.08361 - 1.39222i) q^{67} +(0.419495 - 0.206306i) q^{68} +(5.29223 - 1.05269i) q^{69} +(-0.281126 - 0.105983i) q^{70} +(-4.56284 - 11.0157i) q^{71} +(-2.81435 - 0.281823i) q^{72} +(4.20972 - 10.1632i) q^{73} +(10.8199 + 10.1450i) q^{74} +(0.737999 - 1.10449i) q^{75} +(5.69537 + 3.29648i) q^{76} +(0.0791768 + 0.0157492i) q^{77} +(-1.71194 + 2.74969i) q^{78} +(-9.56634 + 9.56634i) q^{79} +(-6.86679 - 3.40490i) q^{80} +(-0.707107 - 0.707107i) q^{81} +(-11.6932 + 2.71976i) q^{82} +(2.32182 - 11.6726i) q^{83} +(0.176064 - 0.134795i) q^{84} +(0.372400 + 0.248830i) q^{85} +(-0.969386 + 0.0312071i) q^{86} +(-1.20418 - 0.498789i) q^{87} +(1.96982 + 0.601046i) q^{88} +(-7.91751 + 3.27954i) q^{89} +(-1.11703 - 2.46891i) q^{90} +(-0.0495397 - 0.249053i) q^{91} +(-7.12436 + 8.10599i) q^{92} +(-5.13940 - 7.69165i) q^{93} +(-5.16286 - 0.855275i) q^{94} +6.30470i q^{95} +(4.81191 - 2.97414i) q^{96} -17.6784i q^{97} +(1.61505 - 9.74924i) q^{98} +(0.404530 + 0.605421i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.14999 0.823123i 0.813163 0.582036i
\(3\) −0.831470 + 0.555570i −0.480049 + 0.320759i
\(4\) 0.644937 1.89316i 0.322468 0.946580i
\(5\) 1.87933 0.373823i 0.840463 0.167179i 0.243956 0.969786i \(-0.421555\pi\)
0.596507 + 0.802608i \(0.296555\pi\)
\(6\) −0.498876 + 1.32330i −0.203665 + 0.540235i
\(7\) −0.0424280 0.102430i −0.0160363 0.0387150i 0.915659 0.401957i \(-0.131670\pi\)
−0.931695 + 0.363242i \(0.881670\pi\)
\(8\) −0.816635 2.70797i −0.288724 0.957412i
\(9\) 0.382683 0.923880i 0.127561 0.307960i
\(10\) 1.85351 1.97681i 0.586130 0.625123i
\(11\) −0.404530 + 0.605421i −0.121970 + 0.182541i −0.887430 0.460942i \(-0.847512\pi\)
0.765460 + 0.643484i \(0.222512\pi\)
\(12\) 0.515538 + 1.93241i 0.148823 + 0.557840i
\(13\) 2.24636 + 0.446828i 0.623028 + 0.123928i 0.496502 0.868035i \(-0.334617\pi\)
0.126525 + 0.991963i \(0.459617\pi\)
\(14\) −0.133104 0.0828699i −0.0355736 0.0221479i
\(15\) −1.35492 + 1.35492i −0.349840 + 0.349840i
\(16\) −3.16811 2.44194i −0.792028 0.610485i
\(17\) 0.165279 + 0.165279i 0.0400862 + 0.0400862i 0.726866 0.686780i \(-0.240976\pi\)
−0.686780 + 0.726866i \(0.740976\pi\)
\(18\) −0.320386 1.37744i −0.0755157 0.324667i
\(19\) −0.641904 + 3.22707i −0.147263 + 0.740340i 0.834616 + 0.550832i \(0.185689\pi\)
−0.981879 + 0.189508i \(0.939311\pi\)
\(20\) 0.504345 3.79897i 0.112775 0.849476i
\(21\) 0.0921847 + 0.0615959i 0.0201164 + 0.0134413i
\(22\) 0.0331327 + 1.02920i 0.00706392 + 0.219427i
\(23\) −4.98518 2.06493i −1.03948 0.430567i −0.203355 0.979105i \(-0.565185\pi\)
−0.836126 + 0.548538i \(0.815185\pi\)
\(24\) 2.18348 + 1.79790i 0.445700 + 0.366994i
\(25\) −1.22725 + 0.508343i −0.245450 + 0.101669i
\(26\) 2.95108 1.33518i 0.578754 0.261851i
\(27\) 0.195090 + 0.980785i 0.0375451 + 0.188752i
\(28\) −0.221280 + 0.0142619i −0.0418180 + 0.00269525i
\(29\) 0.724129 + 1.08374i 0.134467 + 0.201245i 0.892592 0.450865i \(-0.148884\pi\)
−0.758125 + 0.652109i \(0.773884\pi\)
\(30\) −0.442875 + 2.67341i −0.0808575 + 0.488096i
\(31\) 9.25067i 1.66147i 0.556668 + 0.830735i \(0.312080\pi\)
−0.556668 + 0.830735i \(0.687920\pi\)
\(32\) −5.65330 0.200449i −0.999372 0.0354348i
\(33\) 0.728134i 0.126752i
\(34\) 0.326114 + 0.0540238i 0.0559282 + 0.00926500i
\(35\) −0.118027 0.176640i −0.0199502 0.0298576i
\(36\) −1.50225 1.32033i −0.250374 0.220054i
\(37\) 2.04609 + 10.2864i 0.336375 + 1.69107i 0.665187 + 0.746677i \(0.268352\pi\)
−0.328811 + 0.944396i \(0.606648\pi\)
\(38\) 1.91809 + 4.23945i 0.311156 + 0.687730i
\(39\) −2.11602 + 0.876485i −0.338835 + 0.140350i
\(40\) −2.54703 4.78390i −0.402721 0.756401i
\(41\) −7.84283 3.24861i −1.22484 0.507347i −0.325898 0.945405i \(-0.605667\pi\)
−0.898947 + 0.438058i \(0.855667\pi\)
\(42\) 0.156712 0.00504497i 0.0241812 0.000778456i
\(43\) −0.570234 0.381018i −0.0869599 0.0581047i 0.511330 0.859384i \(-0.329153\pi\)
−0.598290 + 0.801280i \(0.704153\pi\)
\(44\) 0.885263 + 1.15630i 0.133458 + 0.174318i
\(45\) 0.373823 1.87933i 0.0557262 0.280154i
\(46\) −7.43257 + 1.72877i −1.09587 + 0.254894i
\(47\) −2.61661 2.61661i −0.381672 0.381672i 0.490032 0.871704i \(-0.336985\pi\)
−0.871704 + 0.490032i \(0.836985\pi\)
\(48\) 3.99086 + 0.270288i 0.576031 + 0.0390128i
\(49\) 4.94106 4.94106i 0.705865 0.705865i
\(50\) −0.992890 + 1.59476i −0.140416 + 0.225534i
\(51\) −0.229249 0.0456005i −0.0321013 0.00638535i
\(52\) 2.29468 3.96454i 0.318214 0.549783i
\(53\) 2.35939 3.53108i 0.324088 0.485031i −0.633272 0.773929i \(-0.718289\pi\)
0.957360 + 0.288898i \(0.0932887\pi\)
\(54\) 1.03166 + 0.967306i 0.140391 + 0.131634i
\(55\) −0.533926 + 1.28901i −0.0719945 + 0.173810i
\(56\) −0.242730 + 0.198542i −0.0324361 + 0.0265313i
\(57\) −1.25914 3.03983i −0.166777 0.402636i
\(58\) 1.72479 + 0.650234i 0.226476 + 0.0853799i
\(59\) 12.7010 2.52639i 1.65354 0.328909i 0.721815 0.692086i \(-0.243308\pi\)
0.931720 + 0.363177i \(0.118308\pi\)
\(60\) 1.69125 + 3.43893i 0.218339 + 0.443964i
\(61\) −2.44281 + 1.63223i −0.312770 + 0.208986i −0.702040 0.712138i \(-0.747727\pi\)
0.389270 + 0.921124i \(0.372727\pi\)
\(62\) 7.61444 + 10.6381i 0.967035 + 1.35105i
\(63\) −0.110870 −0.0139683
\(64\) −6.66621 + 4.42285i −0.833277 + 0.552856i
\(65\) 4.38869 0.544350
\(66\) −0.599344 0.837344i −0.0737741 0.103070i
\(67\) 2.08361 1.39222i 0.254554 0.170087i −0.421746 0.906714i \(-0.638583\pi\)
0.676299 + 0.736627i \(0.263583\pi\)
\(68\) 0.419495 0.206306i 0.0508713 0.0250182i
\(69\) 5.29223 1.05269i 0.637110 0.126729i
\(70\) −0.281126 0.105983i −0.0336010 0.0126674i
\(71\) −4.56284 11.0157i −0.541509 1.30732i −0.923658 0.383218i \(-0.874816\pi\)
0.382148 0.924101i \(-0.375184\pi\)
\(72\) −2.81435 0.281823i −0.331675 0.0332132i
\(73\) 4.20972 10.1632i 0.492711 1.18951i −0.460624 0.887595i \(-0.652374\pi\)
0.953335 0.301914i \(-0.0976256\pi\)
\(74\) 10.8199 + 10.1450i 1.25779 + 1.17934i
\(75\) 0.737999 1.10449i 0.0852168 0.127536i
\(76\) 5.69537 + 3.29648i 0.653304 + 0.378133i
\(77\) 0.0791768 + 0.0157492i 0.00902303 + 0.00179479i
\(78\) −1.71194 + 2.74969i −0.193839 + 0.311341i
\(79\) −9.56634 + 9.56634i −1.07630 + 1.07630i −0.0794594 + 0.996838i \(0.525319\pi\)
−0.996838 + 0.0794594i \(0.974681\pi\)
\(80\) −6.86679 3.40490i −0.767731 0.380680i
\(81\) −0.707107 0.707107i −0.0785674 0.0785674i
\(82\) −11.6932 + 2.71976i −1.29129 + 0.300348i
\(83\) 2.32182 11.6726i 0.254853 1.28123i −0.615238 0.788342i \(-0.710940\pi\)
0.870091 0.492891i \(-0.164060\pi\)
\(84\) 0.176064 0.134795i 0.0192102 0.0147073i
\(85\) 0.372400 + 0.248830i 0.0403925 + 0.0269894i
\(86\) −0.969386 + 0.0312071i −0.104532 + 0.00336514i
\(87\) −1.20418 0.498789i −0.129102 0.0534758i
\(88\) 1.96982 + 0.601046i 0.209983 + 0.0640717i
\(89\) −7.91751 + 3.27954i −0.839255 + 0.347631i −0.760560 0.649268i \(-0.775075\pi\)
−0.0786949 + 0.996899i \(0.525075\pi\)
\(90\) −1.11703 2.46891i −0.117745 0.260246i
\(91\) −0.0495397 0.249053i −0.00519317 0.0261078i
\(92\) −7.12436 + 8.10599i −0.742766 + 0.845108i
\(93\) −5.13940 7.69165i −0.532931 0.797587i
\(94\) −5.16286 0.855275i −0.532509 0.0882148i
\(95\) 6.30470i 0.646848i
\(96\) 4.81191 2.97414i 0.491114 0.303547i
\(97\) 17.6784i 1.79497i −0.441050 0.897483i \(-0.645394\pi\)
0.441050 0.897483i \(-0.354606\pi\)
\(98\) 1.61505 9.74924i 0.163145 0.984822i
\(99\) 0.404530 + 0.605421i 0.0406567 + 0.0608471i
\(100\) 0.170877 + 2.65123i 0.0170877 + 0.265123i
\(101\) 2.94907 + 14.8260i 0.293444 + 1.47524i 0.793139 + 0.609041i \(0.208445\pi\)
−0.499695 + 0.866201i \(0.666555\pi\)
\(102\) −0.301168 + 0.136260i −0.0298201 + 0.0134918i
\(103\) 9.55871 3.95935i 0.941848 0.390126i 0.141687 0.989912i \(-0.454747\pi\)
0.800161 + 0.599785i \(0.204747\pi\)
\(104\) −0.624457 6.44797i −0.0612330 0.632275i
\(105\) 0.196272 + 0.0812984i 0.0191542 + 0.00793391i
\(106\) −0.193245 6.00277i −0.0187696 0.583040i
\(107\) 0.00614719 + 0.00410742i 0.000594271 + 0.000397079i 0.555867 0.831271i \(-0.312386\pi\)
−0.555273 + 0.831668i \(0.687386\pi\)
\(108\) 1.98260 + 0.263207i 0.190776 + 0.0253271i
\(109\) −0.155458 + 0.781542i −0.0148902 + 0.0748581i −0.987516 0.157519i \(-0.949650\pi\)
0.972626 + 0.232377i \(0.0746504\pi\)
\(110\) 0.447007 + 1.92183i 0.0426205 + 0.183239i
\(111\) −7.41608 7.41608i −0.703903 0.703903i
\(112\) −0.115712 + 0.428117i −0.0109337 + 0.0404532i
\(113\) 1.83668 1.83668i 0.172780 0.172780i −0.615419 0.788200i \(-0.711013\pi\)
0.788200 + 0.615419i \(0.211013\pi\)
\(114\) −3.95015 2.45934i −0.369965 0.230338i
\(115\) −10.1407 2.01712i −0.945627 0.188097i
\(116\) 2.51870 0.671952i 0.233856 0.0623891i
\(117\) 1.27246 1.90437i 0.117639 0.176059i
\(118\) 12.5265 13.3598i 1.15316 1.22987i
\(119\) 0.00991714 0.0239421i 0.000909102 0.00219477i
\(120\) 4.77557 + 2.56262i 0.435948 + 0.233934i
\(121\) 4.00663 + 9.67285i 0.364239 + 0.879350i
\(122\) −1.46567 + 3.88778i −0.132695 + 0.351983i
\(123\) 8.32591 1.65613i 0.750722 0.149328i
\(124\) 17.5130 + 5.96610i 1.57271 + 0.535772i
\(125\) −10.0825 + 6.73690i −0.901805 + 0.602567i
\(126\) −0.127499 + 0.0912594i −0.0113585 + 0.00813003i
\(127\) 7.31586 0.649177 0.324589 0.945855i \(-0.394774\pi\)
0.324589 + 0.945855i \(0.394774\pi\)
\(128\) −4.02551 + 10.5733i −0.355808 + 0.934559i
\(129\) 0.685815 0.0603826
\(130\) 5.04693 3.61243i 0.442645 0.316831i
\(131\) 10.8242 7.23249i 0.945713 0.631906i 0.0158752 0.999874i \(-0.494947\pi\)
0.929838 + 0.367968i \(0.119947\pi\)
\(132\) −1.37847 0.469601i −0.119981 0.0408735i
\(133\) 0.357784 0.0711677i 0.0310238 0.00617102i
\(134\) 1.25015 3.31611i 0.107997 0.286468i
\(135\) 0.733279 + 1.77029i 0.0631106 + 0.152363i
\(136\) 0.312599 0.582545i 0.0268051 0.0499528i
\(137\) −7.50969 + 18.1300i −0.641596 + 1.54895i 0.182931 + 0.983126i \(0.441442\pi\)
−0.824526 + 0.565823i \(0.808558\pi\)
\(138\) 5.21950 5.56674i 0.444314 0.473872i
\(139\) 6.96977 10.4310i 0.591168 0.884746i −0.408439 0.912786i \(-0.633927\pi\)
0.999607 + 0.0280402i \(0.00892664\pi\)
\(140\) −0.410528 + 0.109522i −0.0346959 + 0.00925634i
\(141\) 3.62935 + 0.721922i 0.305646 + 0.0607968i
\(142\) −14.3145 8.91209i −1.20124 0.747886i
\(143\) −1.17924 + 1.17924i −0.0986128 + 0.0986128i
\(144\) −3.46844 + 1.99247i −0.289037 + 0.166039i
\(145\) 1.76601 + 1.76601i 0.146659 + 0.146659i
\(146\) −3.52442 15.1526i −0.291683 1.25404i
\(147\) −1.36323 + 6.85344i −0.112438 + 0.565262i
\(148\) 20.7934 + 2.76050i 1.70921 + 0.226911i
\(149\) −2.53583 1.69438i −0.207743 0.138809i 0.447347 0.894361i \(-0.352369\pi\)
−0.655089 + 0.755551i \(0.727369\pi\)
\(150\) −0.0604454 1.87762i −0.00493534 0.153307i
\(151\) 7.92664 + 3.28332i 0.645061 + 0.267193i 0.681137 0.732156i \(-0.261486\pi\)
−0.0360758 + 0.999349i \(0.511486\pi\)
\(152\) 9.26301 0.897081i 0.751329 0.0727629i
\(153\) 0.215948 0.0894486i 0.0174584 0.00723149i
\(154\) 0.104016 0.0470608i 0.00838183 0.00379227i
\(155\) 3.45811 + 17.3851i 0.277762 + 1.39640i
\(156\) 0.294626 + 4.57125i 0.0235890 + 0.365993i
\(157\) −6.21796 9.30584i −0.496247 0.742687i 0.495816 0.868428i \(-0.334869\pi\)
−0.992063 + 0.125741i \(0.959869\pi\)
\(158\) −3.12689 + 18.8754i −0.248762 + 1.50165i
\(159\) 4.24680i 0.336793i
\(160\) −10.6994 + 1.73662i −0.845859 + 0.137292i
\(161\) 0.598243i 0.0471482i
\(162\) −1.39520 0.231127i −0.109617 0.0181591i
\(163\) −6.25260 9.35768i −0.489742 0.732950i 0.501479 0.865170i \(-0.332790\pi\)
−0.991220 + 0.132220i \(0.957790\pi\)
\(164\) −11.2083 + 12.7526i −0.875219 + 0.995810i
\(165\) −0.272193 1.36841i −0.0211902 0.106530i
\(166\) −6.93791 15.3345i −0.538486 1.19019i
\(167\) 4.45481 1.84524i 0.344723 0.142789i −0.203603 0.979054i \(-0.565265\pi\)
0.548326 + 0.836264i \(0.315265\pi\)
\(168\) 0.0915185 0.299935i 0.00706081 0.0231405i
\(169\) −7.16397 2.96741i −0.551074 0.228262i
\(170\) 0.633073 0.0203803i 0.0485545 0.00156309i
\(171\) 2.73578 + 1.82799i 0.209210 + 0.139790i
\(172\) −1.08909 + 0.833812i −0.0830426 + 0.0635776i
\(173\) −0.234192 + 1.17736i −0.0178053 + 0.0895131i −0.988666 0.150131i \(-0.952031\pi\)
0.970861 + 0.239644i \(0.0770306\pi\)
\(174\) −1.79536 + 0.417590i −0.136106 + 0.0316574i
\(175\) 0.104139 + 0.104139i 0.00787219 + 0.00787219i
\(176\) 2.76000 0.930206i 0.208043 0.0701170i
\(177\) −9.15694 + 9.15694i −0.688278 + 0.688278i
\(178\) −6.40556 + 10.2885i −0.480117 + 0.771157i
\(179\) −17.7154 3.52382i −1.32411 0.263383i −0.518121 0.855307i \(-0.673368\pi\)
−0.805994 + 0.591924i \(0.798368\pi\)
\(180\) −3.31679 1.91976i −0.247219 0.143090i
\(181\) −4.20092 + 6.28712i −0.312252 + 0.467318i −0.954089 0.299523i \(-0.903173\pi\)
0.641837 + 0.766841i \(0.278173\pi\)
\(182\) −0.261971 0.245630i −0.0194186 0.0182073i
\(183\) 1.12430 2.71430i 0.0831108 0.200647i
\(184\) −1.52069 + 15.1860i −0.112107 + 1.11953i
\(185\) 7.69057 + 18.5667i 0.565422 + 1.36505i
\(186\) −12.2414 4.61494i −0.897584 0.338384i
\(187\) −0.166924 + 0.0332033i −0.0122067 + 0.00242806i
\(188\) −6.64122 + 3.26612i −0.484361 + 0.238206i
\(189\) 0.0921847 0.0615959i 0.00670545 0.00448044i
\(190\) 5.18954 + 7.25031i 0.376489 + 0.525993i
\(191\) 17.9131 1.29615 0.648073 0.761578i \(-0.275575\pi\)
0.648073 + 0.761578i \(0.275575\pi\)
\(192\) 3.08555 7.38101i 0.222680 0.532679i
\(193\) 0.132642 0.00954776 0.00477388 0.999989i \(-0.498480\pi\)
0.00477388 + 0.999989i \(0.498480\pi\)
\(194\) −14.5515 20.3299i −1.04473 1.45960i
\(195\) −3.64906 + 2.43823i −0.261315 + 0.174605i
\(196\) −6.16754 12.5409i −0.440539 0.895777i
\(197\) −11.6257 + 2.31250i −0.828298 + 0.164759i −0.590993 0.806676i \(-0.701264\pi\)
−0.237305 + 0.971435i \(0.576264\pi\)
\(198\) 0.963540 + 0.363249i 0.0684758 + 0.0258150i
\(199\) −1.13570 2.74182i −0.0805076 0.194363i 0.878500 0.477742i \(-0.158545\pi\)
−0.959008 + 0.283379i \(0.908545\pi\)
\(200\) 2.37879 + 2.90822i 0.168206 + 0.205642i
\(201\) −0.958981 + 2.31518i −0.0676413 + 0.163301i
\(202\) 15.5950 + 14.6222i 1.09726 + 1.02882i
\(203\) 0.0802840 0.120153i 0.00563483 0.00843312i
\(204\) −0.234180 + 0.404596i −0.0163959 + 0.0283274i
\(205\) −15.9537 3.17339i −1.11425 0.221639i
\(206\) 7.73336 12.4212i 0.538809 0.865425i
\(207\) −3.81549 + 3.81549i −0.265195 + 0.265195i
\(208\) −6.02559 6.90107i −0.417799 0.478503i
\(209\) −1.69407 1.69407i −0.117181 0.117181i
\(210\) 0.292628 0.0680637i 0.0201933 0.00469684i
\(211\) −3.49760 + 17.5836i −0.240785 + 1.21051i 0.651364 + 0.758766i \(0.274197\pi\)
−0.892149 + 0.451742i \(0.850803\pi\)
\(212\) −5.16324 6.74404i −0.354613 0.463182i
\(213\) 9.91384 + 6.62422i 0.679285 + 0.453884i
\(214\) 0.0104501 0.000336416i 0.000714354 2.29969e-5i
\(215\) −1.21409 0.502894i −0.0828005 0.0342971i
\(216\) 2.49662 1.32924i 0.169874 0.0904435i
\(217\) 0.947548 0.392487i 0.0643238 0.0266438i
\(218\) 0.464530 + 1.02672i 0.0314619 + 0.0695385i
\(219\) 2.14610 + 10.7892i 0.145020 + 0.729064i
\(220\) 2.09596 + 1.84214i 0.141309 + 0.124197i
\(221\) 0.297425 + 0.445128i 0.0200070 + 0.0299426i
\(222\) −14.6327 2.42404i −0.982085 0.162691i
\(223\) 8.34121i 0.558568i −0.960208 0.279284i \(-0.909903\pi\)
0.960208 0.279284i \(-0.0900972\pi\)
\(224\) 0.219326 + 0.587573i 0.0146543 + 0.0392589i
\(225\) 1.32836i 0.0885576i
\(226\) 0.600343 3.62397i 0.0399342 0.241063i
\(227\) 4.23158 + 6.33300i 0.280860 + 0.420336i 0.944899 0.327361i \(-0.106159\pi\)
−0.664040 + 0.747697i \(0.731159\pi\)
\(228\) −6.56696 + 0.423253i −0.434907 + 0.0280306i
\(229\) 5.33736 + 26.8327i 0.352703 + 1.77316i 0.595779 + 0.803148i \(0.296843\pi\)
−0.243076 + 0.970007i \(0.578157\pi\)
\(230\) −13.3220 + 6.02741i −0.878428 + 0.397436i
\(231\) −0.0745829 + 0.0308933i −0.00490720 + 0.00203263i
\(232\) 2.34338 2.84594i 0.153850 0.186845i
\(233\) −23.0120 9.53188i −1.50757 0.624454i −0.532512 0.846423i \(-0.678752\pi\)
−0.975054 + 0.221968i \(0.928752\pi\)
\(234\) −0.104220 3.23739i −0.00681307 0.211635i
\(235\) −5.89564 3.93934i −0.384589 0.256974i
\(236\) 3.40850 25.6745i 0.221875 1.67127i
\(237\) 2.63935 13.2689i 0.171444 0.861907i
\(238\) −0.00830271 0.0356961i −0.000538185 0.00231383i
\(239\) 6.38784 + 6.38784i 0.413195 + 0.413195i 0.882850 0.469655i \(-0.155622\pi\)
−0.469655 + 0.882850i \(0.655622\pi\)
\(240\) 7.60119 0.983911i 0.490655 0.0635112i
\(241\) −10.4497 + 10.4497i −0.673124 + 0.673124i −0.958435 0.285311i \(-0.907903\pi\)
0.285311 + 0.958435i \(0.407903\pi\)
\(242\) 12.5695 + 7.82570i 0.807999 + 0.503055i
\(243\) 0.980785 + 0.195090i 0.0629174 + 0.0125150i
\(244\) 1.51462 + 5.67732i 0.0969637 + 0.363453i
\(245\) 7.43881 11.1330i 0.475248 0.711259i
\(246\) 8.21149 8.75777i 0.523545 0.558375i
\(247\) −2.88389 + 6.96233i −0.183498 + 0.443002i
\(248\) 25.0506 7.55443i 1.59071 0.479707i
\(249\) 4.55442 + 10.9953i 0.288625 + 0.696801i
\(250\) −6.04942 + 16.0465i −0.382599 + 1.01487i
\(251\) 5.95926 1.18537i 0.376145 0.0748199i −0.00339740 0.999994i \(-0.501081\pi\)
0.379542 + 0.925174i \(0.376081\pi\)
\(252\) −0.0715039 + 0.209894i −0.00450432 + 0.0132221i
\(253\) 3.26680 2.18281i 0.205382 0.137232i
\(254\) 8.41314 6.02185i 0.527887 0.377844i
\(255\) −0.447882 −0.0280475
\(256\) 4.07387 + 15.4727i 0.254617 + 0.967042i
\(257\) 24.9026 1.55338 0.776690 0.629883i \(-0.216897\pi\)
0.776690 + 0.629883i \(0.216897\pi\)
\(258\) 0.788678 0.564510i 0.0491009 0.0351449i
\(259\) 0.966826 0.646012i 0.0600756 0.0401413i
\(260\) 2.83043 8.30849i 0.175536 0.515271i
\(261\) 1.27835 0.254280i 0.0791281 0.0157396i
\(262\) 6.49444 17.2269i 0.401228 1.06428i
\(263\) −8.37227 20.2124i −0.516256 1.24635i −0.940187 0.340658i \(-0.889350\pi\)
0.423931 0.905694i \(-0.360650\pi\)
\(264\) −1.97177 + 0.594620i −0.121354 + 0.0365963i
\(265\) 3.11409 7.51807i 0.191297 0.461832i
\(266\) 0.352867 0.376342i 0.0216357 0.0230750i
\(267\) 4.76116 7.12557i 0.291378 0.436078i
\(268\) −1.29191 4.84251i −0.0789157 0.295803i
\(269\) 20.4162 + 4.06104i 1.24480 + 0.247606i 0.773174 0.634194i \(-0.218668\pi\)
0.471625 + 0.881799i \(0.343668\pi\)
\(270\) 2.30043 + 1.43223i 0.140000 + 0.0871630i
\(271\) 6.12122 6.12122i 0.371838 0.371838i −0.496309 0.868146i \(-0.665312\pi\)
0.868146 + 0.496309i \(0.165312\pi\)
\(272\) −0.120022 0.927226i −0.00727738 0.0562213i
\(273\) 0.179557 + 0.179557i 0.0108673 + 0.0108673i
\(274\) 6.28717 + 27.0306i 0.379822 + 1.63298i
\(275\) 0.188697 0.948642i 0.0113788 0.0572052i
\(276\) 1.42025 10.6980i 0.0854887 0.643942i
\(277\) −13.4697 9.00018i −0.809317 0.540768i 0.0806770 0.996740i \(-0.474292\pi\)
−0.889994 + 0.455972i \(0.849292\pi\)
\(278\) −0.570854 17.7325i −0.0342376 1.06352i
\(279\) 8.54651 + 3.54008i 0.511666 + 0.211939i
\(280\) −0.381951 + 0.463864i −0.0228259 + 0.0277212i
\(281\) 8.00147 3.31432i 0.477328 0.197716i −0.131030 0.991378i \(-0.541829\pi\)
0.608358 + 0.793663i \(0.291829\pi\)
\(282\) 4.76793 2.15720i 0.283926 0.128459i
\(283\) 0.481557 + 2.42095i 0.0286256 + 0.143910i 0.992455 0.122609i \(-0.0391262\pi\)
−0.963829 + 0.266520i \(0.914126\pi\)
\(284\) −23.7972 + 1.53377i −1.41210 + 0.0910128i
\(285\) −3.50270 5.24216i −0.207482 0.310519i
\(286\) −0.385449 + 2.32676i −0.0227921 + 0.137584i
\(287\) 0.941175i 0.0555558i
\(288\) −2.34862 + 5.14626i −0.138394 + 0.303246i
\(289\) 16.9454i 0.996786i
\(290\) 3.48452 + 0.577242i 0.204618 + 0.0338968i
\(291\) 9.82157 + 14.6990i 0.575751 + 0.861672i
\(292\) −16.5255 14.5243i −0.967082 0.849970i
\(293\) −5.11076 25.6935i −0.298574 1.50103i −0.780687 0.624922i \(-0.785131\pi\)
0.482113 0.876109i \(-0.339869\pi\)
\(294\) 4.07352 + 9.00347i 0.237573 + 0.525093i
\(295\) 22.9251 9.49588i 1.33475 0.552871i
\(296\) 26.1843 13.9410i 1.52193 0.810303i
\(297\) −0.672708 0.278645i −0.0390345 0.0161686i
\(298\) −4.31085 + 0.138777i −0.249721 + 0.00803916i
\(299\) −10.2758 6.86608i −0.594266 0.397076i
\(300\) −1.61502 2.10948i −0.0932433 0.121791i
\(301\) −0.0148339 + 0.0745750i −0.000855012 + 0.00429843i
\(302\) 11.8181 2.74883i 0.680056 0.158177i
\(303\) −10.6890 10.6890i −0.614064 0.614064i
\(304\) 9.91393 8.65623i 0.568603 0.496469i
\(305\) −3.98069 + 3.98069i −0.227934 + 0.227934i
\(306\) 0.174710 0.280616i 0.00998751 0.0160418i
\(307\) −28.2961 5.62845i −1.61494 0.321232i −0.696735 0.717328i \(-0.745365\pi\)
−0.918209 + 0.396096i \(0.870365\pi\)
\(308\) 0.0808799 0.139737i 0.00460856 0.00796226i
\(309\) −5.74808 + 8.60261i −0.326997 + 0.489386i
\(310\) 18.2869 + 17.1462i 1.03862 + 0.973837i
\(311\) −2.34012 + 5.64955i −0.132696 + 0.320356i −0.976236 0.216710i \(-0.930467\pi\)
0.843540 + 0.537066i \(0.180467\pi\)
\(312\) 4.10152 + 5.01436i 0.232203 + 0.283882i
\(313\) −1.36225 3.28876i −0.0769989 0.185892i 0.880693 0.473688i \(-0.157078\pi\)
−0.957692 + 0.287796i \(0.907078\pi\)
\(314\) −14.8104 5.58344i −0.835800 0.315092i
\(315\) −0.208361 + 0.0414456i −0.0117398 + 0.00233519i
\(316\) 11.9409 + 24.2803i 0.671730 + 1.36587i
\(317\) 5.05650 3.37864i 0.284001 0.189764i −0.405408 0.914136i \(-0.632870\pi\)
0.689409 + 0.724372i \(0.257870\pi\)
\(318\) 3.49564 + 4.88376i 0.196026 + 0.273868i
\(319\) −0.949049 −0.0531365
\(320\) −10.8747 + 10.8040i −0.607913 + 0.603961i
\(321\) −0.00739316 −0.000412646
\(322\) 0.492428 + 0.687972i 0.0274419 + 0.0383392i
\(323\) −0.639462 + 0.427275i −0.0355806 + 0.0237742i
\(324\) −1.79471 + 0.882627i −0.0997059 + 0.0490348i
\(325\) −2.98398 + 0.593550i −0.165521 + 0.0329243i
\(326\) −14.8929 5.61454i −0.824843 0.310961i
\(327\) −0.304942 0.736196i −0.0168634 0.0407117i
\(328\) −2.39240 + 23.8911i −0.132098 + 1.31917i
\(329\) −0.157003 + 0.379038i −0.00865583 + 0.0208970i
\(330\) −1.43938 1.34960i −0.0792355 0.0742930i
\(331\) 9.36357 14.0136i 0.514668 0.770255i −0.479564 0.877507i \(-0.659205\pi\)
0.994232 + 0.107252i \(0.0342051\pi\)
\(332\) −20.6007 11.9237i −1.13061 0.654396i
\(333\) 10.2864 + 2.04609i 0.563691 + 0.112125i
\(334\) 3.60411 5.78886i 0.197208 0.316752i
\(335\) 3.39535 3.39535i 0.185508 0.185508i
\(336\) −0.141638 0.420252i −0.00772700 0.0229266i
\(337\) 15.1282 + 15.1282i 0.824087 + 0.824087i 0.986691 0.162604i \(-0.0519893\pi\)
−0.162604 + 0.986691i \(0.551989\pi\)
\(338\) −10.6810 + 2.48434i −0.580970 + 0.135130i
\(339\) −0.506739 + 2.54755i −0.0275223 + 0.138364i
\(340\) 0.711250 0.544534i 0.0385729 0.0295315i
\(341\) −5.60055 3.74217i −0.303287 0.202650i
\(342\) 4.65076 0.149720i 0.251485 0.00809594i
\(343\) −1.43276 0.593470i −0.0773620 0.0320444i
\(344\) −0.566113 + 1.85533i −0.0305228 + 0.100033i
\(345\) 9.55235 3.95671i 0.514281 0.213022i
\(346\) 0.699796 + 1.54672i 0.0376213 + 0.0831521i
\(347\) 4.58144 + 23.0324i 0.245944 + 1.23645i 0.884379 + 0.466770i \(0.154582\pi\)
−0.638435 + 0.769676i \(0.720418\pi\)
\(348\) −1.72091 + 1.95802i −0.0922505 + 0.104961i
\(349\) −8.98993 13.4544i −0.481220 0.720196i 0.508837 0.860863i \(-0.330075\pi\)
−0.990057 + 0.140667i \(0.955075\pi\)
\(350\) 0.205478 + 0.0340393i 0.0109833 + 0.00181948i
\(351\) 2.29037i 0.122251i
\(352\) 2.40828 3.34154i 0.128362 0.178105i
\(353\) 12.8834i 0.685714i −0.939388 0.342857i \(-0.888605\pi\)
0.939388 0.342857i \(-0.111395\pi\)
\(354\) −2.99307 + 18.0676i −0.159080 + 0.960285i
\(355\) −12.6930 18.9964i −0.673675 1.00823i
\(356\) 1.10240 + 17.1042i 0.0584271 + 0.906522i
\(357\) 0.00505571 + 0.0254168i 0.000267577 + 0.00134520i
\(358\) −23.2731 + 10.5296i −1.23002 + 0.556509i
\(359\) −16.3077 + 6.75486i −0.860686 + 0.356508i −0.768976 0.639278i \(-0.779233\pi\)
−0.0917104 + 0.995786i \(0.529233\pi\)
\(360\) −5.39446 + 0.522429i −0.284313 + 0.0275344i
\(361\) 7.55178 + 3.12805i 0.397462 + 0.164634i
\(362\) 0.344074 + 10.6880i 0.0180841 + 0.561748i
\(363\) −8.70534 5.81672i −0.456912 0.305299i
\(364\) −0.503447 0.0668368i −0.0263878 0.00350320i
\(365\) 4.11225 20.6737i 0.215245 1.08211i
\(366\) −0.941275 4.04685i −0.0492012 0.211532i
\(367\) 10.4165 + 10.4165i 0.543739 + 0.543739i 0.924623 0.380884i \(-0.124380\pi\)
−0.380884 + 0.924623i \(0.624380\pi\)
\(368\) 10.7512 + 18.7154i 0.560444 + 0.975609i
\(369\) −6.00265 + 6.00265i −0.312485 + 0.312485i
\(370\) 24.1267 + 15.0211i 1.25429 + 0.780912i
\(371\) −0.461794 0.0918565i −0.0239751 0.00476895i
\(372\) −17.8761 + 4.76907i −0.926834 + 0.247265i
\(373\) 15.3132 22.9179i 0.792889 1.18664i −0.186060 0.982538i \(-0.559572\pi\)
0.978949 0.204104i \(-0.0654281\pi\)
\(374\) −0.164630 + 0.175582i −0.00851282 + 0.00907915i
\(375\) 4.64046 11.2031i 0.239632 0.578523i
\(376\) −4.94889 + 9.22253i −0.255220 + 0.475616i
\(377\) 1.14241 + 2.75802i 0.0588371 + 0.142045i
\(378\) 0.0553102 0.146714i 0.00284485 0.00754614i
\(379\) −29.4700 + 5.86195i −1.51377 + 0.301108i −0.880957 0.473196i \(-0.843100\pi\)
−0.632814 + 0.774304i \(0.718100\pi\)
\(380\) 11.9358 + 4.06613i 0.612294 + 0.208588i
\(381\) −6.08291 + 4.06447i −0.311637 + 0.208229i
\(382\) 20.5998 14.7447i 1.05398 0.754404i
\(383\) 11.5433 0.589837 0.294919 0.955522i \(-0.404707\pi\)
0.294919 + 0.955522i \(0.404707\pi\)
\(384\) −2.52714 11.0279i −0.128963 0.562763i
\(385\) 0.154687 0.00788358
\(386\) 0.152536 0.109180i 0.00776389 0.00555714i
\(387\) −0.570234 + 0.381018i −0.0289866 + 0.0193682i
\(388\) −33.4680 11.4014i −1.69908 0.578820i
\(389\) 4.06806 0.809187i 0.206259 0.0410274i −0.0908794 0.995862i \(-0.528968\pi\)
0.297138 + 0.954834i \(0.403968\pi\)
\(390\) −2.18941 + 5.80755i −0.110865 + 0.294077i
\(391\) −0.482657 1.16524i −0.0244090 0.0589286i
\(392\) −17.4153 9.34520i −0.879604 0.472004i
\(393\) −4.98183 + 12.0272i −0.251300 + 0.606692i
\(394\) −11.4659 + 12.2287i −0.577646 + 0.616075i
\(395\) −14.4022 + 21.5545i −0.724655 + 1.08452i
\(396\) 1.40706 0.375381i 0.0707072 0.0188636i
\(397\) 10.4076 + 2.07021i 0.522344 + 0.103901i 0.449218 0.893422i \(-0.351703\pi\)
0.0731259 + 0.997323i \(0.476703\pi\)
\(398\) −3.56289 2.21824i −0.178592 0.111190i
\(399\) −0.257948 + 0.257948i −0.0129135 + 0.0129135i
\(400\) 5.12940 + 1.38638i 0.256470 + 0.0693188i
\(401\) 5.13746 + 5.13746i 0.256553 + 0.256553i 0.823650 0.567098i \(-0.191934\pi\)
−0.567098 + 0.823650i \(0.691934\pi\)
\(402\) 0.802867 + 3.45179i 0.0400434 + 0.172160i
\(403\) −4.13346 + 20.7803i −0.205902 + 1.03514i
\(404\) 29.9700 + 3.97876i 1.49106 + 0.197951i
\(405\) −1.59322 1.06456i −0.0791678 0.0528982i
\(406\) −0.00657561 0.204258i −0.000326342 0.0101372i
\(407\) −7.05531 2.92240i −0.349719 0.144858i
\(408\) 0.0637281 + 0.658039i 0.00315501 + 0.0325778i
\(409\) 17.6887 7.32688i 0.874648 0.362291i 0.100229 0.994964i \(-0.468042\pi\)
0.774419 + 0.632673i \(0.218042\pi\)
\(410\) −20.9586 + 9.48251i −1.03507 + 0.468308i
\(411\) −3.82840 19.2467i −0.188841 0.949369i
\(412\) −1.33091 20.6497i −0.0655694 1.01734i
\(413\) −0.797659 1.19378i −0.0392502 0.0587421i
\(414\) −1.24714 + 7.52838i −0.0612937 + 0.370000i
\(415\) 22.8046i 1.11944i
\(416\) −12.6098 2.97634i −0.618245 0.145927i
\(417\) 12.5453i 0.614344i
\(418\) −3.34258 0.553728i −0.163491 0.0270837i
\(419\) −0.398272 0.596057i −0.0194569 0.0291193i 0.821614 0.570045i \(-0.193074\pi\)
−0.841071 + 0.540925i \(0.818074\pi\)
\(420\) 0.280494 0.319142i 0.0136867 0.0155725i
\(421\) 1.08785 + 5.46901i 0.0530188 + 0.266543i 0.998198 0.0600092i \(-0.0191130\pi\)
−0.945179 + 0.326553i \(0.894113\pi\)
\(422\) 10.4513 + 23.0999i 0.508761 + 1.12449i
\(423\) −3.41877 + 1.41610i −0.166226 + 0.0688532i
\(424\) −11.4888 3.50556i −0.557947 0.170245i
\(425\) −0.286857 0.118820i −0.0139146 0.00576363i
\(426\) 16.8533 0.542552i 0.816546 0.0262867i
\(427\) 0.270833 + 0.180965i 0.0131066 + 0.00875752i
\(428\) 0.0117406 0.00898859i 0.000567501 0.000434480i
\(429\) 0.325351 1.63565i 0.0157081 0.0789699i
\(430\) −1.81013 + 0.421027i −0.0872924 + 0.0203037i
\(431\) −10.7065 10.7065i −0.515712 0.515712i 0.400559 0.916271i \(-0.368816\pi\)
−0.916271 + 0.400559i \(0.868816\pi\)
\(432\) 1.77695 3.58364i 0.0854935 0.172418i
\(433\) −8.05501 + 8.05501i −0.387099 + 0.387099i −0.873651 0.486552i \(-0.838254\pi\)
0.486552 + 0.873651i \(0.338254\pi\)
\(434\) 0.766602 1.23130i 0.0367981 0.0591045i
\(435\) −2.44952 0.487240i −0.117446 0.0233614i
\(436\) 1.37932 + 0.798353i 0.0660576 + 0.0382342i
\(437\) 9.86367 14.7620i 0.471843 0.706163i
\(438\) 11.3488 + 10.6409i 0.542267 + 0.508442i
\(439\) −14.7921 + 35.7112i −0.705986 + 1.70440i 0.00380894 + 0.999993i \(0.498788\pi\)
−0.709795 + 0.704408i \(0.751212\pi\)
\(440\) 3.92663 + 0.393204i 0.187195 + 0.0187453i
\(441\) −2.67408 6.45580i −0.127337 0.307419i
\(442\) 0.708430 + 0.267074i 0.0336966 + 0.0127034i
\(443\) −31.6132 + 6.28825i −1.50199 + 0.298764i −0.876473 0.481450i \(-0.840110\pi\)
−0.625513 + 0.780214i \(0.715110\pi\)
\(444\) −18.8227 + 9.25692i −0.893287 + 0.439314i
\(445\) −13.6537 + 9.12309i −0.647246 + 0.432476i
\(446\) −6.86584 9.59227i −0.325107 0.454207i
\(447\) 3.04981 0.144251
\(448\) 0.735867 + 0.495169i 0.0347665 + 0.0233945i
\(449\) 27.0930 1.27860 0.639298 0.768959i \(-0.279225\pi\)
0.639298 + 0.768959i \(0.279225\pi\)
\(450\) 1.09341 + 1.52760i 0.0515437 + 0.0720117i
\(451\) 5.13943 3.43406i 0.242007 0.161704i
\(452\) −2.29259 4.66167i −0.107834 0.219267i
\(453\) −8.41488 + 1.67382i −0.395366 + 0.0786431i
\(454\) 10.0791 + 3.79976i 0.473035 + 0.178331i
\(455\) −0.186203 0.449534i −0.00872934 0.0210745i
\(456\) −7.20352 + 5.89215i −0.337336 + 0.275925i
\(457\) 14.5593 35.1492i 0.681054 1.64421i −0.0810155 0.996713i \(-0.525816\pi\)
0.762069 0.647496i \(-0.224184\pi\)
\(458\) 28.2245 + 26.4640i 1.31884 + 1.23658i
\(459\) −0.129859 + 0.194348i −0.00606131 + 0.00907139i
\(460\) −10.3589 + 17.8971i −0.482984 + 0.834457i
\(461\) 18.0765 + 3.59564i 0.841906 + 0.167466i 0.597160 0.802122i \(-0.296296\pi\)
0.244746 + 0.969587i \(0.421296\pi\)
\(462\) −0.0603404 + 0.0969177i −0.00280729 + 0.00450902i
\(463\) −8.00454 + 8.00454i −0.372002 + 0.372002i −0.868206 0.496204i \(-0.834727\pi\)
0.496204 + 0.868206i \(0.334727\pi\)
\(464\) 0.352294 5.20168i 0.0163548 0.241482i
\(465\) −12.5340 12.5340i −0.581248 0.581248i
\(466\) −34.3094 + 7.98017i −1.58935 + 0.369674i
\(467\) −1.69184 + 8.50548i −0.0782892 + 0.393587i 0.921695 + 0.387916i \(0.126805\pi\)
−0.999984 + 0.00567046i \(0.998195\pi\)
\(468\) −2.78462 3.63717i −0.128719 0.168128i
\(469\) −0.231009 0.154355i −0.0106670 0.00712747i
\(470\) −10.0225 + 0.322649i −0.462302 + 0.0148827i
\(471\) 10.3401 + 4.28301i 0.476446 + 0.197351i
\(472\) −17.2135 32.3309i −0.792317 1.48815i
\(473\) 0.461353 0.191099i 0.0212130 0.00878673i
\(474\) −7.88672 17.4316i −0.362249 0.800658i
\(475\) −0.852682 4.28672i −0.0391237 0.196688i
\(476\) −0.0389303 0.0342159i −0.00178437 0.00156828i
\(477\) −2.35939 3.53108i −0.108029 0.161677i
\(478\) 12.6039 + 2.08795i 0.576489 + 0.0955006i
\(479\) 26.5892i 1.21489i 0.794361 + 0.607445i \(0.207806\pi\)
−0.794361 + 0.607445i \(0.792194\pi\)
\(480\) 7.93139 7.38820i 0.362017 0.337224i
\(481\) 24.0212i 1.09527i
\(482\) −3.41562 + 20.6184i −0.155577 + 0.939142i
\(483\) −0.332366 0.497421i −0.0151232 0.0226334i
\(484\) 20.8963 1.34681i 0.949831 0.0612185i
\(485\) −6.60857 33.2235i −0.300080 1.50860i
\(486\) 1.28847 0.582956i 0.0584463 0.0264434i
\(487\) 24.6832 10.2241i 1.11850 0.463298i 0.254643 0.967035i \(-0.418042\pi\)
0.863857 + 0.503737i \(0.168042\pi\)
\(488\) 6.41493 + 5.28212i 0.290390 + 0.239110i
\(489\) 10.3977 + 4.30687i 0.470200 + 0.194763i
\(490\) −0.609271 18.9258i −0.0275241 0.854981i
\(491\) −6.69605 4.47415i −0.302188 0.201916i 0.395226 0.918584i \(-0.370666\pi\)
−0.697414 + 0.716668i \(0.745666\pi\)
\(492\) 2.23437 16.8304i 0.100733 0.758772i
\(493\) −0.0594356 + 0.298803i −0.00267685 + 0.0134574i
\(494\) 2.41442 + 10.3804i 0.108630 + 0.467035i
\(495\) 0.986566 + 0.986566i 0.0443428 + 0.0443428i
\(496\) 22.5896 29.3072i 1.01430 1.31593i
\(497\) −0.934745 + 0.934745i −0.0419290 + 0.0419290i
\(498\) 14.2880 + 8.89564i 0.640262 + 0.398623i
\(499\) 17.5273 + 3.48640i 0.784631 + 0.156073i 0.571119 0.820867i \(-0.306510\pi\)
0.213512 + 0.976940i \(0.431510\pi\)
\(500\) 6.25147 + 23.4326i 0.279574 + 1.04794i
\(501\) −2.67888 + 4.00922i −0.119683 + 0.179119i
\(502\) 5.87736 6.26836i 0.262319 0.279771i
\(503\) −6.94891 + 16.7762i −0.309837 + 0.748012i 0.689873 + 0.723930i \(0.257666\pi\)
−0.999710 + 0.0240816i \(0.992334\pi\)
\(504\) 0.0905401 + 0.300232i 0.00403297 + 0.0133734i
\(505\) 11.0846 + 26.7606i 0.493258 + 1.19083i
\(506\) 1.96006 5.19918i 0.0871352 0.231132i
\(507\) 7.60523 1.51277i 0.337760 0.0671846i
\(508\) 4.71827 13.8501i 0.209339 0.614498i
\(509\) −15.3197 + 10.2363i −0.679033 + 0.453715i −0.846659 0.532135i \(-0.821390\pi\)
0.167626 + 0.985851i \(0.446390\pi\)
\(510\) −0.515058 + 0.368662i −0.0228072 + 0.0163246i
\(511\) −1.21963 −0.0539531
\(512\) 17.4208 + 14.4401i 0.769898 + 0.638167i
\(513\) −3.29029 −0.145270
\(514\) 28.6376 20.4979i 1.26315 0.904123i
\(515\) 16.4839 11.0142i 0.726368 0.485344i
\(516\) 0.442307 1.29836i 0.0194715 0.0571570i
\(517\) 2.64265 0.525656i 0.116224 0.0231183i
\(518\) 0.580089 1.53872i 0.0254876 0.0676076i
\(519\) −0.459384 1.10905i −0.0201647 0.0486819i
\(520\) −3.58396 11.8844i −0.157167 0.521167i
\(521\) −10.4254 + 25.1691i −0.456744 + 1.10268i 0.512964 + 0.858410i \(0.328548\pi\)
−0.969708 + 0.244268i \(0.921452\pi\)
\(522\) 1.26079 1.34466i 0.0551831 0.0588542i
\(523\) 4.89100 7.31990i 0.213869 0.320077i −0.708988 0.705220i \(-0.750848\pi\)
0.922857 + 0.385143i \(0.125848\pi\)
\(524\) −6.71135 25.1564i −0.293186 1.09896i
\(525\) −0.144445 0.0287320i −0.00630411 0.00125397i
\(526\) −26.2653 16.3526i −1.14522 0.713008i
\(527\) −1.52895 + 1.52895i −0.0666020 + 0.0666020i
\(528\) −1.77806 + 2.30681i −0.0773801 + 0.100391i
\(529\) 4.32460 + 4.32460i 0.188026 + 0.188026i
\(530\) −2.60714 11.2090i −0.113247 0.486886i
\(531\) 2.52639 12.7010i 0.109636 0.551178i
\(532\) 0.0960163 0.723241i 0.00416284 0.0313565i
\(533\) −16.1662 10.8019i −0.700238 0.467884i
\(534\) −0.389959 12.1133i −0.0168752 0.524195i
\(535\) 0.0130881 + 0.00542125i 0.000565846 + 0.000234381i
\(536\) −5.47165 4.50542i −0.236339 0.194604i
\(537\) 16.6876 6.91222i 0.720123 0.298285i
\(538\) 26.8211 12.1349i 1.15634 0.523174i
\(539\) 0.992617 + 4.99022i 0.0427550 + 0.214944i
\(540\) 3.82437 0.246488i 0.164575 0.0106072i
\(541\) 13.6094 + 20.3680i 0.585116 + 0.875687i 0.999406 0.0344572i \(-0.0109702\pi\)
−0.414291 + 0.910145i \(0.635970\pi\)
\(542\) 2.00080 12.0778i 0.0859418 0.518787i
\(543\) 7.56146i 0.324493i
\(544\) −0.901245 0.967505i −0.0386405 0.0414814i
\(545\) 1.52689i 0.0654048i
\(546\) 0.354286 + 0.0586906i 0.0151620 + 0.00251173i
\(547\) 14.4759 + 21.6646i 0.618943 + 0.926313i 0.999998 + 0.00176131i \(0.000560642\pi\)
−0.381056 + 0.924552i \(0.624439\pi\)
\(548\) 29.4797 + 25.9097i 1.25931 + 1.10681i
\(549\) 0.573164 + 2.88149i 0.0244620 + 0.122979i
\(550\) −0.563850 1.24625i −0.0240427 0.0531401i
\(551\) −3.96211 + 1.64116i −0.168792 + 0.0699158i
\(552\) −7.17248 13.4716i −0.305281 0.573387i
\(553\) 1.38576 + 0.574002i 0.0589286 + 0.0244090i
\(554\) −22.8983 + 0.737154i −0.972853 + 0.0313187i
\(555\) −16.7096 11.1650i −0.709282 0.473927i
\(556\) −15.2525 19.9222i −0.646850 0.844891i
\(557\) −5.41018 + 27.1988i −0.229236 + 1.15245i 0.679047 + 0.734095i \(0.262393\pi\)
−0.908284 + 0.418355i \(0.862607\pi\)
\(558\) 12.7423 2.96378i 0.539424 0.125467i
\(559\) −1.11070 1.11070i −0.0469776 0.0469776i
\(560\) −0.0574209 + 0.847830i −0.00242648 + 0.0358274i
\(561\) 0.120346 0.120346i 0.00508099 0.00508099i
\(562\) 6.47349 10.3976i 0.273068 0.438597i
\(563\) 30.7068 + 6.10796i 1.29414 + 0.257420i 0.793677 0.608340i \(-0.208164\pi\)
0.500460 + 0.865760i \(0.333164\pi\)
\(564\) 3.70741 6.40534i 0.156110 0.269713i
\(565\) 2.76514 4.13833i 0.116330 0.174101i
\(566\) 2.54652 + 2.38768i 0.107038 + 0.100362i
\(567\) −0.0424280 + 0.102430i −0.00178181 + 0.00430166i
\(568\) −26.1039 + 21.3518i −1.09530 + 0.895902i
\(569\) −13.9572 33.6957i −0.585116 1.41260i −0.888122 0.459607i \(-0.847990\pi\)
0.303006 0.952989i \(-0.402010\pi\)
\(570\) −8.34300 3.14526i −0.349450 0.131740i
\(571\) −2.27148 + 0.451826i −0.0950586 + 0.0189083i −0.242390 0.970179i \(-0.577931\pi\)
0.147332 + 0.989087i \(0.452931\pi\)
\(572\) 1.47195 + 2.99302i 0.0615454 + 0.125144i
\(573\) −14.8942 + 9.95199i −0.622214 + 0.415750i
\(574\) 0.774703 + 1.08234i 0.0323355 + 0.0451759i
\(575\) 7.16774 0.298915
\(576\) 1.53513 + 7.85133i 0.0639637 + 0.327139i
\(577\) −19.3888 −0.807166 −0.403583 0.914943i \(-0.632235\pi\)
−0.403583 + 0.914943i \(0.632235\pi\)
\(578\) −13.9481 19.4869i −0.580165 0.810550i
\(579\) −0.110288 + 0.0736918i −0.00458339 + 0.00306253i
\(580\) 4.48229 2.20437i 0.186117 0.0915315i
\(581\) −1.29414 + 0.257420i −0.0536898 + 0.0106796i
\(582\) 23.3938 + 8.81931i 0.969703 + 0.365572i
\(583\) 1.18335 + 2.85685i 0.0490093 + 0.118319i
\(584\) −30.9594 3.10021i −1.28111 0.128287i
\(585\) 1.67948 4.05462i 0.0694379 0.167638i
\(586\) −27.0262 25.3404i −1.11644 1.04680i
\(587\) −13.9976 + 20.9488i −0.577741 + 0.864651i −0.999107 0.0422399i \(-0.986551\pi\)
0.421366 + 0.906890i \(0.361551\pi\)
\(588\) 12.0955 + 7.00086i 0.498808 + 0.288711i
\(589\) −29.8526 5.93804i −1.23005 0.244673i
\(590\) 18.5472 29.7903i 0.763578 1.22645i
\(591\) 8.38168 8.38168i 0.344776 0.344776i
\(592\) 18.6365 37.5849i 0.765955 1.54473i
\(593\) −17.4481 17.4481i −0.716506 0.716506i 0.251382 0.967888i \(-0.419115\pi\)
−0.967888 + 0.251382i \(0.919115\pi\)
\(594\) −1.00296 + 0.233284i −0.0411521 + 0.00957175i
\(595\) 0.00968751 0.0487024i 0.000397149 0.00199660i
\(596\) −4.84319 + 3.70795i −0.198385 + 0.151884i
\(597\) 2.46757 + 1.64878i 0.100991 + 0.0674801i
\(598\) −17.4687 + 0.562362i −0.714348 + 0.0229967i
\(599\) −9.41018 3.89782i −0.384490 0.159261i 0.182062 0.983287i \(-0.441723\pi\)
−0.566552 + 0.824026i \(0.691723\pi\)
\(600\) −3.59361 1.09651i −0.146709 0.0447649i
\(601\) −23.1606 + 9.59343i −0.944740 + 0.391324i −0.801251 0.598328i \(-0.795832\pi\)
−0.143489 + 0.989652i \(0.545832\pi\)
\(602\) 0.0443257 + 0.0979704i 0.00180658 + 0.00399298i
\(603\) −0.488884 2.45779i −0.0199089 0.100089i
\(604\) 11.3280 12.8889i 0.460932 0.524441i
\(605\) 11.1457 + 16.6807i 0.453138 + 0.678169i
\(606\) −21.0905 3.49383i −0.856742 0.141927i
\(607\) 15.3773i 0.624144i −0.950058 0.312072i \(-0.898977\pi\)
0.950058 0.312072i \(-0.101023\pi\)
\(608\) 4.27574 18.1149i 0.173404 0.734657i
\(609\) 0.144507i 0.00585573i
\(610\) −1.30114 + 7.85433i −0.0526816 + 0.318013i
\(611\) −4.70867 7.04702i −0.190492 0.285092i
\(612\) −0.0300677 0.466513i −0.00121541 0.0188577i
\(613\) 5.57839 + 28.0445i 0.225309 + 1.13270i 0.913395 + 0.407075i \(0.133451\pi\)
−0.688086 + 0.725630i \(0.741549\pi\)
\(614\) −37.1730 + 16.8185i −1.50018 + 0.678741i
\(615\) 15.0281 6.22483i 0.605990 0.251009i
\(616\) −0.0220101 0.227270i −0.000886811 0.00915696i
\(617\) 14.4747 + 5.99562i 0.582730 + 0.241374i 0.654519 0.756045i \(-0.272871\pi\)
−0.0717897 + 0.997420i \(0.522871\pi\)
\(618\) 0.470793 + 14.6243i 0.0189381 + 0.588274i
\(619\) 16.6672 + 11.1367i 0.669911 + 0.447620i 0.843451 0.537207i \(-0.180520\pi\)
−0.173539 + 0.984827i \(0.555520\pi\)
\(620\) 35.1430 + 4.66553i 1.41138 + 0.187372i
\(621\) 1.05269 5.29223i 0.0422430 0.212370i
\(622\) 1.95917 + 8.42311i 0.0785555 + 0.337736i
\(623\) 0.671848 + 0.671848i 0.0269170 + 0.0269170i
\(624\) 8.84412 + 2.39039i 0.354048 + 0.0956923i
\(625\) −11.7335 + 11.7335i −0.469339 + 0.469339i
\(626\) −4.27363 2.66073i −0.170808 0.106344i
\(627\) 2.34974 + 0.467392i 0.0938395 + 0.0186658i
\(628\) −21.6276 + 5.76992i −0.863037 + 0.230245i
\(629\) −1.36195 + 2.03831i −0.0543046 + 0.0812726i
\(630\) −0.205497 + 0.219169i −0.00818722 + 0.00873189i
\(631\) −10.8943 + 26.3012i −0.433696 + 1.04704i 0.544389 + 0.838833i \(0.316761\pi\)
−0.978086 + 0.208203i \(0.933239\pi\)
\(632\) 33.7176 + 18.0932i 1.34121 + 0.719707i
\(633\) −6.86080 16.5634i −0.272692 0.658337i
\(634\) 3.03386 8.04752i 0.120490 0.319608i
\(635\) 13.7489 2.73483i 0.545610 0.108529i
\(636\) 8.03987 + 2.73892i 0.318801 + 0.108605i
\(637\) 13.3072 8.89158i 0.527250 0.352297i
\(638\) −1.09139 + 0.781184i −0.0432087 + 0.0309274i
\(639\) −11.9233 −0.471677
\(640\) −3.61272 + 21.3756i −0.142805 + 0.844946i
\(641\) −20.9465 −0.827335 −0.413668 0.910428i \(-0.635752\pi\)
−0.413668 + 0.910428i \(0.635752\pi\)
\(642\) −0.00850203 + 0.00608548i −0.000335549 + 0.000240175i
\(643\) 38.9394 26.0185i 1.53562 1.02607i 0.554609 0.832111i \(-0.312868\pi\)
0.981010 0.193957i \(-0.0621321\pi\)
\(644\) 1.13257 + 0.385829i 0.0446295 + 0.0152038i
\(645\) 1.28887 0.256373i 0.0507494 0.0100947i
\(646\) −0.383673 + 1.01772i −0.0150954 + 0.0400415i
\(647\) 11.2449 + 27.1477i 0.442085 + 1.06729i 0.975216 + 0.221254i \(0.0710151\pi\)
−0.533132 + 0.846032i \(0.678985\pi\)
\(648\) −1.33738 + 2.49227i −0.0525371 + 0.0979057i
\(649\) −3.60841 + 8.71148i −0.141643 + 0.341956i
\(650\) −2.94297 + 3.13876i −0.115433 + 0.123112i
\(651\) −0.569803 + 0.852771i −0.0223324 + 0.0334227i
\(652\) −21.7481 + 5.80207i −0.851722 + 0.227226i
\(653\) 39.8994 + 7.93648i 1.56138 + 0.310579i 0.898783 0.438394i \(-0.144453\pi\)
0.662601 + 0.748973i \(0.269453\pi\)
\(654\) −0.956660 0.595610i −0.0374084 0.0232902i
\(655\) 17.6386 17.6386i 0.689196 0.689196i
\(656\) 16.9141 + 29.4437i 0.660384 + 1.14958i
\(657\) −7.77856 7.77856i −0.303470 0.303470i
\(658\) 0.131444 + 0.565121i 0.00512422 + 0.0220307i
\(659\) 2.31867 11.6567i 0.0903224 0.454081i −0.908984 0.416832i \(-0.863140\pi\)
0.999306 0.0372494i \(-0.0118596\pi\)
\(660\) −2.76616 0.367231i −0.107673 0.0142944i
\(661\) −4.14081 2.76680i −0.161059 0.107616i 0.472429 0.881369i \(-0.343377\pi\)
−0.633488 + 0.773753i \(0.718377\pi\)
\(662\) −0.766917 23.8228i −0.0298071 0.925899i
\(663\) −0.494600 0.204870i −0.0192087 0.00795649i
\(664\) −33.5051 + 3.24482i −1.30025 + 0.125923i
\(665\) 0.645791 0.267495i 0.0250427 0.0103730i
\(666\) 13.5134 6.11399i 0.523633 0.236912i
\(667\) −1.37208 6.89789i −0.0531270 0.267087i
\(668\) −0.620268 9.62373i −0.0239989 0.372353i
\(669\) 4.63413 + 6.93546i 0.179166 + 0.268140i
\(670\) 1.10982 6.69941i 0.0428760 0.258821i
\(671\) 2.13922i 0.0825835i
\(672\) −0.508801 0.366698i −0.0196274 0.0141457i
\(673\) 6.62990i 0.255564i 0.991802 + 0.127782i \(0.0407858\pi\)
−0.991802 + 0.127782i \(0.959214\pi\)
\(674\) 29.8497 + 4.94486i 1.14977 + 0.190469i
\(675\) −0.737999 1.10449i −0.0284056 0.0425120i
\(676\) −10.2381 + 11.6487i −0.393773 + 0.448029i
\(677\) −0.612752 3.08051i −0.0235500 0.118394i 0.967222 0.253932i \(-0.0817238\pi\)
−0.990772 + 0.135538i \(0.956724\pi\)
\(678\) 1.51420 + 3.34675i 0.0581526 + 0.128531i
\(679\) −1.81080 + 0.750057i −0.0694920 + 0.0287845i
\(680\) 0.369709 1.21165i 0.0141777 0.0464648i
\(681\) −7.03686 2.91476i −0.269653 0.111694i
\(682\) −9.52083 + 0.306500i −0.364571 + 0.0117365i
\(683\) −12.6038 8.42156i −0.482269 0.322242i 0.290559 0.956857i \(-0.406159\pi\)
−0.772828 + 0.634615i \(0.781159\pi\)
\(684\) 5.22508 4.00033i 0.199786 0.152956i
\(685\) −7.33580 + 36.8796i −0.280287 + 1.40910i
\(686\) −2.13616 + 0.496858i −0.0815589 + 0.0189701i
\(687\) −19.3453 19.3453i −0.738070 0.738070i
\(688\) 0.876143 + 2.59959i 0.0334026 + 0.0991083i
\(689\) 6.87783 6.87783i 0.262024 0.262024i
\(690\) 7.72821 12.4129i 0.294208 0.472552i
\(691\) 37.6838 + 7.49577i 1.43356 + 0.285153i 0.849942 0.526877i \(-0.176637\pi\)
0.583617 + 0.812029i \(0.301637\pi\)
\(692\) 2.07789 + 1.20269i 0.0789897 + 0.0457193i
\(693\) 0.0448500 0.0671228i 0.00170371 0.00254979i
\(694\) 24.2271 + 22.7159i 0.919649 + 0.862284i
\(695\) 9.19918 22.2088i 0.348945 0.842427i
\(696\) −0.367328 + 3.66822i −0.0139235 + 0.139044i
\(697\) −0.759331 1.83319i −0.0287617 0.0694369i
\(698\) −21.4129 8.07253i −0.810490 0.305550i
\(699\) 24.4294 4.85931i 0.924005 0.183796i
\(700\) 0.264316 0.129989i 0.00999019 0.00491313i
\(701\) −24.2133 + 16.1788i −0.914525 + 0.611066i −0.921275 0.388911i \(-0.872851\pi\)
0.00675005 + 0.999977i \(0.497851\pi\)
\(702\) 1.88525 + 2.63389i 0.0711543 + 0.0994098i
\(703\) −34.5083 −1.30150
\(704\) 0.0189938 5.82504i 0.000715854 0.219539i
\(705\) 7.09062 0.267048
\(706\) −10.6046 14.8157i −0.399110 0.557597i
\(707\) 1.39351 0.931112i 0.0524082 0.0350181i
\(708\) 11.4299 + 23.2412i 0.429562 + 0.873458i
\(709\) −3.60404 + 0.716889i −0.135353 + 0.0269233i −0.262302 0.964986i \(-0.584482\pi\)
0.126949 + 0.991909i \(0.459482\pi\)
\(710\) −30.2332 11.3977i −1.13463 0.427749i
\(711\) 5.17727 + 12.4990i 0.194163 + 0.468750i
\(712\) 15.3466 + 18.7622i 0.575139 + 0.703143i
\(713\) 19.1020 46.1162i 0.715374 1.72707i
\(714\) 0.0267351 + 0.0250675i 0.00100054 + 0.000938127i
\(715\) −1.77535 + 2.65701i −0.0663945 + 0.0993664i
\(716\) −18.0965 + 31.2655i −0.676298 + 1.16845i
\(717\) −8.86019 1.76240i −0.330890 0.0658181i
\(718\) −13.1935 + 21.1912i −0.492378 + 0.790849i
\(719\) −6.75809 + 6.75809i −0.252034 + 0.252034i −0.821804 0.569770i \(-0.807032\pi\)
0.569770 + 0.821804i \(0.307032\pi\)
\(720\) −5.77353 + 5.04109i −0.215167 + 0.187870i
\(721\) −0.811114 0.811114i −0.0302075 0.0302075i
\(722\) 11.2592 2.61883i 0.419025 0.0974628i
\(723\) 2.88306 14.4941i 0.107222 0.539043i
\(724\) 9.19320 + 12.0078i 0.341663 + 0.446267i
\(725\) −1.43960 0.961907i −0.0534652 0.0357243i
\(726\) −14.7989 + 0.476415i −0.549239 + 0.0176814i
\(727\) −3.69197 1.52926i −0.136928 0.0567173i 0.313167 0.949698i \(-0.398610\pi\)
−0.450095 + 0.892981i \(0.648610\pi\)
\(728\) −0.633972 + 0.337537i −0.0234966 + 0.0125100i
\(729\) −0.923880 + 0.382683i −0.0342178 + 0.0141735i
\(730\) −12.2880 27.1593i −0.454797 1.00521i
\(731\) −0.0312735 0.157223i −0.00115669 0.00581508i
\(732\) −4.41351 3.87904i −0.163128 0.143373i
\(733\) 23.4233 + 35.0554i 0.865159 + 1.29480i 0.954321 + 0.298785i \(0.0965812\pi\)
−0.0891617 + 0.996017i \(0.528419\pi\)
\(734\) 20.5530 + 3.40478i 0.758624 + 0.125673i
\(735\) 13.3895i 0.493879i
\(736\) 27.7688 + 12.6729i 1.02357 + 0.467131i
\(737\) 1.82466i 0.0672122i
\(738\) −1.96204 + 11.8439i −0.0722239 + 0.435979i
\(739\) −10.6129 15.8833i −0.390402 0.584277i 0.583257 0.812288i \(-0.301778\pi\)
−0.973659 + 0.228010i \(0.926778\pi\)
\(740\) 40.1096 2.58515i 1.47446 0.0950319i
\(741\) −1.47020 7.39117i −0.0540090 0.271521i
\(742\) −0.606666 + 0.274479i −0.0222714 + 0.0100765i
\(743\) −38.1001 + 15.7816i −1.39776 + 0.578970i −0.949168 0.314769i \(-0.898073\pi\)
−0.448588 + 0.893739i \(0.648073\pi\)
\(744\) −16.6318 + 20.1986i −0.609750 + 0.740517i
\(745\) −5.39906 2.23636i −0.197806 0.0819340i
\(746\) −1.25422 38.9599i −0.0459203 1.42642i
\(747\) −9.89554 6.61199i −0.362059 0.241920i
\(748\) −0.0447964 + 0.337428i −0.00163792 + 0.0123376i
\(749\) 0.000159911 0 0.000803927i 5.84302e−6 0 2.93749e-5i
\(750\) −3.88503 16.7030i −0.141861 0.609909i
\(751\) −15.5314 15.5314i −0.566749 0.566749i 0.364467 0.931216i \(-0.381251\pi\)
−0.931216 + 0.364467i \(0.881251\pi\)
\(752\) 1.90012 + 14.6793i 0.0692901 + 0.535300i
\(753\) −4.29639 + 4.29639i −0.156569 + 0.156569i
\(754\) 3.58395 + 2.23134i 0.130520 + 0.0812607i
\(755\) 16.1242 + 3.20730i 0.586819 + 0.116726i
\(756\) −0.0571575 0.214246i −0.00207880 0.00779205i
\(757\) 3.59256 5.37665i 0.130574 0.195418i −0.760422 0.649430i \(-0.775008\pi\)
0.890996 + 0.454012i \(0.150008\pi\)
\(758\) −29.0650 + 30.9986i −1.05569 + 1.12592i
\(759\) −1.50354 + 3.62988i −0.0545752 + 0.131756i
\(760\) 17.0729 5.14864i 0.619300 0.186761i
\(761\) −1.60346 3.87111i −0.0581255 0.140327i 0.892149 0.451742i \(-0.149197\pi\)
−0.950274 + 0.311415i \(0.899197\pi\)
\(762\) −3.64971 + 9.68107i −0.132215 + 0.350708i
\(763\) 0.0866493 0.0172356i 0.00313691 0.000623971i
\(764\) 11.5528 33.9124i 0.417966 1.22691i
\(765\) 0.372400 0.248830i 0.0134642 0.00899647i
\(766\) 13.2747 9.50159i 0.479634 0.343306i
\(767\) 29.6600 1.07096
\(768\) −11.9835 10.6017i −0.432416 0.382557i
\(769\) −52.1244 −1.87965 −0.939827 0.341650i \(-0.889014\pi\)
−0.939827 + 0.341650i \(0.889014\pi\)
\(770\) 0.177888 0.127326i 0.00641064 0.00458853i
\(771\) −20.7057 + 13.8351i −0.745699 + 0.498260i
\(772\) 0.0855456 0.251112i 0.00307885 0.00903772i
\(773\) 5.83461 1.16058i 0.209856 0.0417430i −0.0890426