Properties

Label 585.2.bt.b.571.8
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.8
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.85413 + 1.07048i) q^{2} +(-1.70628 - 0.297682i) q^{3} +(1.29187 - 2.23759i) q^{4} +(0.866025 + 0.500000i) q^{5} +(3.48233 - 1.27460i) q^{6} +(-4.18669 + 2.41719i) q^{7} +1.24978i q^{8} +(2.82277 + 1.01586i) q^{9} +O(q^{10})\) \(q+(-1.85413 + 1.07048i) q^{2} +(-1.70628 - 0.297682i) q^{3} +(1.29187 - 2.23759i) q^{4} +(0.866025 + 0.500000i) q^{5} +(3.48233 - 1.27460i) q^{6} +(-4.18669 + 2.41719i) q^{7} +1.24978i q^{8} +(2.82277 + 1.01586i) q^{9} -2.14097 q^{10} +(-0.777530 + 0.448907i) q^{11} +(-2.87039 + 3.43338i) q^{12} +(3.48463 + 0.925930i) q^{13} +(5.17513 - 8.96358i) q^{14} +(-1.32884 - 1.11094i) q^{15} +(1.24587 + 2.15792i) q^{16} -5.40665 q^{17} +(-6.32125 + 1.13820i) q^{18} +6.78820i q^{19} +(2.23759 - 1.29187i) q^{20} +(7.86322 - 2.87809i) q^{21} +(0.961096 - 1.66467i) q^{22} +(0.544448 - 0.943012i) q^{23} +(0.372038 - 2.13248i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-7.45216 + 2.01345i) q^{26} +(-4.51403 - 2.57362i) q^{27} +12.4908i q^{28} +(-1.28370 - 2.22344i) q^{29} +(3.65309 + 0.637329i) q^{30} +(-4.42594 - 2.55532i) q^{31} +(-6.78472 - 3.91716i) q^{32} +(1.46031 - 0.534504i) q^{33} +(10.0246 - 5.78773i) q^{34} -4.83438 q^{35} +(5.91974 - 5.00384i) q^{36} -2.86635i q^{37} +(-7.26667 - 12.5862i) q^{38} +(-5.67012 - 2.61721i) q^{39} +(-0.624892 + 1.08234i) q^{40} +(-3.50683 - 2.02467i) q^{41} +(-11.4985 + 13.7538i) q^{42} +(2.08636 + 3.61369i) q^{43} +2.31972i q^{44} +(1.93666 + 2.29114i) q^{45} +2.33129i q^{46} +(6.64992 - 3.83933i) q^{47} +(-1.48343 - 4.05288i) q^{48} +(8.18560 - 14.1779i) q^{49} +(-1.85413 - 1.07048i) q^{50} +(9.22525 + 1.60946i) q^{51} +(6.57355 - 6.60099i) q^{52} +6.85899 q^{53} +(11.1246 - 0.0603536i) q^{54} -0.897814 q^{55} +(-3.02096 - 5.23246i) q^{56} +(2.02073 - 11.5826i) q^{57} +(4.76031 + 2.74837i) q^{58} +(-13.0778 - 7.55048i) q^{59} +(-4.20252 + 1.53820i) q^{60} +(-3.04265 - 5.27002i) q^{61} +10.9417 q^{62} +(-14.2736 + 2.57008i) q^{63} +11.7895 q^{64} +(2.55481 + 2.54419i) q^{65} +(-2.13544 + 2.55428i) q^{66} +(5.26815 + 3.04157i) q^{67} +(-6.98471 + 12.0979i) q^{68} +(-1.20970 + 1.44697i) q^{69} +(8.96358 - 5.17513i) q^{70} -13.3088i q^{71} +(-1.26960 + 3.52785i) q^{72} -11.8477i q^{73} +(3.06838 + 5.31459i) q^{74} +(-0.595339 - 1.62652i) q^{75} +(15.1892 + 8.76950i) q^{76} +(2.17019 - 3.75887i) q^{77} +(13.3148 - 1.21712i) q^{78} +(-1.01631 - 1.76030i) q^{79} +2.49175i q^{80} +(6.93607 + 5.73507i) q^{81} +8.66951 q^{82} +(-1.21390 + 0.700846i) q^{83} +(3.71829 - 21.3128i) q^{84} +(-4.68230 - 2.70333i) q^{85} +(-7.73679 - 4.46684i) q^{86} +(1.52848 + 4.17594i) q^{87} +(-0.561037 - 0.971744i) q^{88} -3.44366i q^{89} +(-6.04346 - 2.17492i) q^{90} +(-16.8272 + 4.54643i) q^{91} +(-1.40672 - 2.43650i) q^{92} +(6.79122 + 5.67761i) q^{93} +(-8.21989 + 14.2373i) q^{94} +(-3.39410 + 5.87876i) q^{95} +(10.4105 + 8.70345i) q^{96} +(-15.9996 + 9.23740i) q^{97} +35.0502i q^{98} +(-2.65081 + 0.477302i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.85413 + 1.07048i −1.31107 + 0.756947i −0.982273 0.187454i \(-0.939976\pi\)
−0.328797 + 0.944401i \(0.606643\pi\)
\(3\) −1.70628 0.297682i −0.985120 0.171867i
\(4\) 1.29187 2.23759i 0.645937 1.11880i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 3.48233 1.27460i 1.42166 0.520354i
\(7\) −4.18669 + 2.41719i −1.58242 + 0.913612i −0.587917 + 0.808921i \(0.700052\pi\)
−0.994505 + 0.104690i \(0.966615\pi\)
\(8\) 1.24978i 0.441865i
\(9\) 2.82277 + 1.01586i 0.940923 + 0.338619i
\(10\) −2.14097 −0.677034
\(11\) −0.777530 + 0.448907i −0.234434 + 0.135351i −0.612616 0.790381i \(-0.709883\pi\)
0.378182 + 0.925731i \(0.376549\pi\)
\(12\) −2.87039 + 3.43338i −0.828609 + 0.991132i
\(13\) 3.48463 + 0.925930i 0.966463 + 0.256807i
\(14\) 5.17513 8.96358i 1.38311 2.39562i
\(15\) −1.32884 1.11094i −0.343105 0.286843i
\(16\) 1.24587 + 2.15792i 0.311468 + 0.539479i
\(17\) −5.40665 −1.31131 −0.655653 0.755063i \(-0.727606\pi\)
−0.655653 + 0.755063i \(0.727606\pi\)
\(18\) −6.32125 + 1.13820i −1.48993 + 0.268275i
\(19\) 6.78820i 1.55732i 0.627446 + 0.778660i \(0.284100\pi\)
−0.627446 + 0.778660i \(0.715900\pi\)
\(20\) 2.23759 1.29187i 0.500340 0.288872i
\(21\) 7.86322 2.87809i 1.71590 0.628051i
\(22\) 0.961096 1.66467i 0.204906 0.354908i
\(23\) 0.544448 0.943012i 0.113525 0.196632i −0.803664 0.595083i \(-0.797119\pi\)
0.917189 + 0.398452i \(0.130452\pi\)
\(24\) 0.372038 2.13248i 0.0759420 0.435290i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −7.45216 + 2.01345i −1.46149 + 0.394869i
\(27\) −4.51403 2.57362i −0.868725 0.495294i
\(28\) 12.4908i 2.36054i
\(29\) −1.28370 2.22344i −0.238378 0.412882i 0.721871 0.692027i \(-0.243282\pi\)
−0.960249 + 0.279145i \(0.909949\pi\)
\(30\) 3.65309 + 0.637329i 0.666960 + 0.116360i
\(31\) −4.42594 2.55532i −0.794923 0.458949i 0.0467698 0.998906i \(-0.485107\pi\)
−0.841693 + 0.539957i \(0.818441\pi\)
\(32\) −6.78472 3.91716i −1.19938 0.692462i
\(33\) 1.46031 0.534504i 0.254208 0.0930451i
\(34\) 10.0246 5.78773i 1.71921 0.992588i
\(35\) −4.83438 −0.817159
\(36\) 5.91974 5.00384i 0.986623 0.833974i
\(37\) 2.86635i 0.471224i −0.971847 0.235612i \(-0.924290\pi\)
0.971847 0.235612i \(-0.0757095\pi\)
\(38\) −7.26667 12.5862i −1.17881 2.04176i
\(39\) −5.67012 2.61721i −0.907945 0.419089i
\(40\) −0.624892 + 1.08234i −0.0988041 + 0.171134i
\(41\) −3.50683 2.02467i −0.547675 0.316200i 0.200509 0.979692i \(-0.435741\pi\)
−0.748184 + 0.663492i \(0.769074\pi\)
\(42\) −11.4985 + 13.7538i −1.77426 + 2.12226i
\(43\) 2.08636 + 3.61369i 0.318167 + 0.551082i 0.980106 0.198476i \(-0.0635993\pi\)
−0.661938 + 0.749558i \(0.730266\pi\)
\(44\) 2.31972i 0.349712i
\(45\) 1.93666 + 2.29114i 0.288701 + 0.341544i
\(46\) 2.33129i 0.343731i
\(47\) 6.64992 3.83933i 0.969991 0.560024i 0.0707572 0.997494i \(-0.477458\pi\)
0.899233 + 0.437469i \(0.144125\pi\)
\(48\) −1.48343 4.05288i −0.214115 0.584983i
\(49\) 8.18560 14.1779i 1.16937 2.02541i
\(50\) −1.85413 1.07048i −0.262214 0.151389i
\(51\) 9.22525 + 1.60946i 1.29179 + 0.225370i
\(52\) 6.57355 6.60099i 0.911588 0.915393i
\(53\) 6.85899 0.942155 0.471077 0.882092i \(-0.343865\pi\)
0.471077 + 0.882092i \(0.343865\pi\)
\(54\) 11.1246 0.0603536i 1.51387 0.00821308i
\(55\) −0.897814 −0.121061
\(56\) −3.02096 5.23246i −0.403693 0.699217i
\(57\) 2.02073 11.5826i 0.267652 1.53415i
\(58\) 4.76031 + 2.74837i 0.625059 + 0.360878i
\(59\) −13.0778 7.55048i −1.70259 0.982989i −0.943125 0.332438i \(-0.892129\pi\)
−0.759462 0.650552i \(-0.774538\pi\)
\(60\) −4.20252 + 1.53820i −0.542543 + 0.198581i
\(61\) −3.04265 5.27002i −0.389571 0.674757i 0.602821 0.797877i \(-0.294043\pi\)
−0.992392 + 0.123120i \(0.960710\pi\)
\(62\) 10.9417 1.38960
\(63\) −14.2736 + 2.57008i −1.79830 + 0.323800i
\(64\) 11.7895 1.47369
\(65\) 2.55481 + 2.54419i 0.316886 + 0.315568i
\(66\) −2.13544 + 2.55428i −0.262854 + 0.314411i
\(67\) 5.26815 + 3.04157i 0.643607 + 0.371587i 0.786003 0.618223i \(-0.212147\pi\)
−0.142395 + 0.989810i \(0.545480\pi\)
\(68\) −6.98471 + 12.0979i −0.847020 + 1.46708i
\(69\) −1.20970 + 1.44697i −0.145631 + 0.174195i
\(70\) 8.96358 5.17513i 1.07135 0.618546i
\(71\) 13.3088i 1.57946i −0.613456 0.789729i \(-0.710221\pi\)
0.613456 0.789729i \(-0.289779\pi\)
\(72\) −1.26960 + 3.52785i −0.149624 + 0.415761i
\(73\) 11.8477i 1.38666i −0.720618 0.693332i \(-0.756142\pi\)
0.720618 0.693332i \(-0.243858\pi\)
\(74\) 3.06838 + 5.31459i 0.356692 + 0.617808i
\(75\) −0.595339 1.62652i −0.0687438 0.187815i
\(76\) 15.1892 + 8.76950i 1.74232 + 1.00593i
\(77\) 2.17019 3.75887i 0.247316 0.428363i
\(78\) 13.3148 1.21712i 1.50761 0.137812i
\(79\) −1.01631 1.76030i −0.114344 0.198049i 0.803174 0.595745i \(-0.203143\pi\)
−0.917517 + 0.397696i \(0.869810\pi\)
\(80\) 2.49175i 0.278586i
\(81\) 6.93607 + 5.73507i 0.770674 + 0.637230i
\(82\) 8.66951 0.957387
\(83\) −1.21390 + 0.700846i −0.133243 + 0.0769279i −0.565140 0.824995i \(-0.691178\pi\)
0.431897 + 0.901923i \(0.357844\pi\)
\(84\) 3.71829 21.3128i 0.405699 2.32542i
\(85\) −4.68230 2.70333i −0.507866 0.293217i
\(86\) −7.73679 4.46684i −0.834279 0.481671i
\(87\) 1.52848 + 4.17594i 0.163870 + 0.447708i
\(88\) −0.561037 0.971744i −0.0598067 0.103588i
\(89\) 3.44366i 0.365028i −0.983203 0.182514i \(-0.941577\pi\)
0.983203 0.182514i \(-0.0584234\pi\)
\(90\) −6.04346 2.17492i −0.637037 0.229257i
\(91\) −16.8272 + 4.54643i −1.76397 + 0.476595i
\(92\) −1.40672 2.43650i −0.146660 0.254023i
\(93\) 6.79122 + 5.67761i 0.704216 + 0.588741i
\(94\) −8.21989 + 14.2373i −0.847817 + 1.46846i
\(95\) −3.39410 + 5.87876i −0.348227 + 0.603148i
\(96\) 10.4105 + 8.70345i 1.06252 + 0.888292i
\(97\) −15.9996 + 9.23740i −1.62452 + 0.937916i −0.638828 + 0.769350i \(0.720580\pi\)
−0.985690 + 0.168566i \(0.946086\pi\)
\(98\) 35.0502i 3.54061i
\(99\) −2.65081 + 0.477302i −0.266417 + 0.0479706i
\(100\) 2.58375 0.258375
\(101\) 2.91486 + 5.04868i 0.290039 + 0.502363i 0.973819 0.227326i \(-0.0729983\pi\)
−0.683779 + 0.729689i \(0.739665\pi\)
\(102\) −18.8277 + 6.89132i −1.86422 + 0.682343i
\(103\) −0.990415 + 1.71545i −0.0975885 + 0.169028i −0.910686 0.413099i \(-0.864446\pi\)
0.813098 + 0.582128i \(0.197780\pi\)
\(104\) −1.15721 + 4.35503i −0.113474 + 0.427046i
\(105\) 8.24879 + 1.43911i 0.805000 + 0.140443i
\(106\) −12.7175 + 7.34244i −1.23523 + 0.713161i
\(107\) −12.4750 −1.20600 −0.603001 0.797740i \(-0.706028\pi\)
−0.603001 + 0.797740i \(0.706028\pi\)
\(108\) −11.5903 + 6.77575i −1.11527 + 0.651997i
\(109\) 2.37143i 0.227141i −0.993530 0.113571i \(-0.963771\pi\)
0.993530 0.113571i \(-0.0362288\pi\)
\(110\) 1.66467 0.961096i 0.158720 0.0916369i
\(111\) −0.853261 + 4.89078i −0.0809879 + 0.464213i
\(112\) −10.4322 6.02302i −0.985748 0.569122i
\(113\) 2.67560 4.63428i 0.251700 0.435957i −0.712294 0.701881i \(-0.752344\pi\)
0.963994 + 0.265924i \(0.0856772\pi\)
\(114\) 8.65225 + 23.6388i 0.810358 + 2.21397i
\(115\) 0.943012 0.544448i 0.0879363 0.0507701i
\(116\) −6.63352 −0.615907
\(117\) 8.89570 + 6.15358i 0.822408 + 0.568898i
\(118\) 32.3307 2.97628
\(119\) 22.6360 13.0689i 2.07504 1.19802i
\(120\) 1.38843 1.66076i 0.126746 0.151606i
\(121\) −5.09696 + 8.82820i −0.463360 + 0.802564i
\(122\) 11.2830 + 6.51422i 1.02151 + 0.589769i
\(123\) 5.38092 + 4.49857i 0.485181 + 0.405623i
\(124\) −11.4355 + 6.60230i −1.02694 + 0.592904i
\(125\) 1.00000i 0.0894427i
\(126\) 23.7139 20.0449i 2.11260 1.78575i
\(127\) −8.84295 −0.784685 −0.392342 0.919819i \(-0.628335\pi\)
−0.392342 + 0.919819i \(0.628335\pi\)
\(128\) −8.28993 + 4.78620i −0.732734 + 0.423044i
\(129\) −2.48418 6.78703i −0.218720 0.597564i
\(130\) −7.46049 1.98239i −0.654328 0.173867i
\(131\) −2.06627 + 3.57888i −0.180531 + 0.312688i −0.942061 0.335441i \(-0.891115\pi\)
0.761531 + 0.648129i \(0.224448\pi\)
\(132\) 0.690541 3.95810i 0.0601039 0.344508i
\(133\) −16.4084 28.4201i −1.42279 2.46434i
\(134\) −13.0238 −1.12509
\(135\) −2.62245 4.48584i −0.225705 0.386080i
\(136\) 6.75714i 0.579420i
\(137\) 2.10209 1.21364i 0.179594 0.103689i −0.407508 0.913202i \(-0.633602\pi\)
0.587102 + 0.809513i \(0.300269\pi\)
\(138\) 0.693985 3.97784i 0.0590759 0.338616i
\(139\) −3.49052 + 6.04575i −0.296062 + 0.512794i −0.975231 0.221187i \(-0.929007\pi\)
0.679170 + 0.733981i \(0.262340\pi\)
\(140\) −6.24540 + 10.8174i −0.527833 + 0.914234i
\(141\) −12.4895 + 4.57141i −1.05181 + 0.384982i
\(142\) 14.2468 + 24.6762i 1.19557 + 2.07078i
\(143\) −3.12506 + 0.844338i −0.261331 + 0.0706071i
\(144\) 1.32468 + 7.35693i 0.110390 + 0.613077i
\(145\) 2.56740i 0.213211i
\(146\) 12.6827 + 21.9671i 1.04963 + 1.81801i
\(147\) −18.1874 + 21.7547i −1.50007 + 1.79430i
\(148\) −6.41371 3.70296i −0.527204 0.304381i
\(149\) −1.48831 0.859277i −0.121927 0.0703947i 0.437796 0.899074i \(-0.355759\pi\)
−0.559723 + 0.828680i \(0.689093\pi\)
\(150\) 2.84500 + 2.37849i 0.232294 + 0.194203i
\(151\) −7.65117 + 4.41740i −0.622643 + 0.359483i −0.777897 0.628391i \(-0.783714\pi\)
0.155254 + 0.987875i \(0.450380\pi\)
\(152\) −8.48378 −0.688126
\(153\) −15.2617 5.49239i −1.23384 0.444033i
\(154\) 9.29260i 0.748819i
\(155\) −2.55532 4.42594i −0.205248 0.355500i
\(156\) −13.1813 + 9.30630i −1.05535 + 0.745100i
\(157\) 7.46860 12.9360i 0.596060 1.03241i −0.397337 0.917673i \(-0.630066\pi\)
0.993396 0.114733i \(-0.0366011\pi\)
\(158\) 3.76874 + 2.17588i 0.299825 + 0.173104i
\(159\) −11.7033 2.04180i −0.928136 0.161925i
\(160\) −3.91716 6.78472i −0.309679 0.536379i
\(161\) 5.26414i 0.414872i
\(162\) −18.9997 3.20863i −1.49276 0.252094i
\(163\) 14.8005i 1.15927i −0.814877 0.579634i \(-0.803196\pi\)
0.814877 0.579634i \(-0.196804\pi\)
\(164\) −9.06076 + 5.23123i −0.707527 + 0.408491i
\(165\) 1.53192 + 0.267263i 0.119260 + 0.0208064i
\(166\) 1.50049 2.59892i 0.116461 0.201716i
\(167\) 9.92278 + 5.72892i 0.767848 + 0.443317i 0.832106 0.554616i \(-0.187135\pi\)
−0.0642587 + 0.997933i \(0.520468\pi\)
\(168\) 3.59699 + 9.82732i 0.277514 + 0.758194i
\(169\) 11.2853 + 6.45305i 0.868101 + 0.496388i
\(170\) 11.5755 0.887798
\(171\) −6.89585 + 19.1615i −0.527339 + 1.46532i
\(172\) 10.7813 0.822064
\(173\) −0.532863 0.922946i −0.0405128 0.0701703i 0.845058 0.534675i \(-0.179566\pi\)
−0.885571 + 0.464504i \(0.846233\pi\)
\(174\) −7.30427 6.10654i −0.553735 0.462935i
\(175\) −4.18669 2.41719i −0.316484 0.182722i
\(176\) −1.93741 1.11856i −0.146038 0.0843148i
\(177\) 20.0668 + 16.7763i 1.50831 + 1.26098i
\(178\) 3.68639 + 6.38501i 0.276306 + 0.478577i
\(179\) −14.1315 −1.05623 −0.528117 0.849171i \(-0.677102\pi\)
−0.528117 + 0.849171i \(0.677102\pi\)
\(180\) 7.62856 1.37359i 0.568600 0.102381i
\(181\) −7.24067 −0.538195 −0.269098 0.963113i \(-0.586725\pi\)
−0.269098 + 0.963113i \(0.586725\pi\)
\(182\) 26.3331 26.4430i 1.95194 1.96008i
\(183\) 3.62281 + 9.89787i 0.267806 + 0.731671i
\(184\) 1.17856 + 0.680443i 0.0868847 + 0.0501629i
\(185\) 1.43317 2.48233i 0.105369 0.182504i
\(186\) −18.6696 3.25716i −1.36892 0.238826i
\(187\) 4.20383 2.42708i 0.307415 0.177486i
\(188\) 19.8397i 1.44696i
\(189\) 25.1198 0.136280i 1.82720 0.00991294i
\(190\) 14.5333i 1.05436i
\(191\) 7.58943 + 13.1453i 0.549152 + 0.951159i 0.998333 + 0.0577183i \(0.0183825\pi\)
−0.449181 + 0.893441i \(0.648284\pi\)
\(192\) −20.1162 3.50954i −1.45176 0.253279i
\(193\) −0.912999 0.527120i −0.0657191 0.0379429i 0.466780 0.884373i \(-0.345414\pi\)
−0.532500 + 0.846430i \(0.678747\pi\)
\(194\) 19.7770 34.2547i 1.41990 2.45935i
\(195\) −3.60186 5.10163i −0.257935 0.365335i
\(196\) −21.1495 36.6321i −1.51068 2.61658i
\(197\) 26.7149i 1.90336i 0.307090 + 0.951681i \(0.400645\pi\)
−0.307090 + 0.951681i \(0.599355\pi\)
\(198\) 4.40402 3.72264i 0.312980 0.264556i
\(199\) 22.6640 1.60661 0.803305 0.595567i \(-0.203073\pi\)
0.803305 + 0.595567i \(0.203073\pi\)
\(200\) −1.08234 + 0.624892i −0.0765333 + 0.0441865i
\(201\) −8.08351 6.75800i −0.570167 0.476673i
\(202\) −10.8091 6.24062i −0.760524 0.439089i
\(203\) 10.7489 + 6.20590i 0.754427 + 0.435569i
\(204\) 15.5192 18.5631i 1.08656 1.29968i
\(205\) −2.02467 3.50683i −0.141409 0.244928i
\(206\) 4.24089i 0.295477i
\(207\) 2.49482 2.10882i 0.173402 0.146573i
\(208\) 2.34333 + 8.67313i 0.162481 + 0.601373i
\(209\) −3.04727 5.27803i −0.210784 0.365089i
\(210\) −16.8349 + 6.16190i −1.16172 + 0.425212i
\(211\) 13.5355 23.4442i 0.931822 1.61396i 0.151617 0.988439i \(-0.451552\pi\)
0.780205 0.625524i \(-0.215115\pi\)
\(212\) 8.86095 15.3476i 0.608572 1.05408i
\(213\) −3.96178 + 22.7084i −0.271457 + 1.55596i
\(214\) 23.1303 13.3543i 1.58115 0.912879i
\(215\) 4.17273i 0.284578i
\(216\) 3.21647 5.64156i 0.218853 0.383859i
\(217\) 24.7068 1.67720
\(218\) 2.53857 + 4.39694i 0.171934 + 0.297798i
\(219\) −3.52684 + 20.2154i −0.238322 + 1.36603i
\(220\) −1.15986 + 2.00894i −0.0781979 + 0.135443i
\(221\) −18.8402 5.00618i −1.26733 0.336752i
\(222\) −3.65345 9.98157i −0.245203 0.669919i
\(223\) −6.74105 + 3.89195i −0.451414 + 0.260624i −0.708427 0.705784i \(-0.750595\pi\)
0.257013 + 0.966408i \(0.417262\pi\)
\(224\) 37.8741 2.53057
\(225\) 0.531627 + 2.95252i 0.0354418 + 0.196835i
\(226\) 11.4568i 0.762093i
\(227\) 20.8614 12.0443i 1.38462 0.799410i 0.391917 0.920001i \(-0.371812\pi\)
0.992702 + 0.120591i \(0.0384788\pi\)
\(228\) −23.3065 19.4848i −1.54351 1.29041i
\(229\) 2.42948 + 1.40266i 0.160545 + 0.0926906i 0.578120 0.815952i \(-0.303787\pi\)
−0.417575 + 0.908642i \(0.637120\pi\)
\(230\) −1.16565 + 2.01896i −0.0768605 + 0.133126i
\(231\) −4.82189 + 5.76766i −0.317257 + 0.379484i
\(232\) 2.77882 1.60435i 0.182438 0.105331i
\(233\) −8.14156 −0.533371 −0.266686 0.963784i \(-0.585929\pi\)
−0.266686 + 0.963784i \(0.585929\pi\)
\(234\) −23.0811 1.88684i −1.50886 0.123347i
\(235\) 7.67867 0.500901
\(236\) −33.7898 + 19.5085i −2.19953 + 1.26990i
\(237\) 1.21009 + 3.30609i 0.0786041 + 0.214754i
\(238\) −27.9801 + 48.4629i −1.81368 + 3.14139i
\(239\) −15.8962 9.17768i −1.02824 0.593655i −0.111760 0.993735i \(-0.535649\pi\)
−0.916480 + 0.400081i \(0.868982\pi\)
\(240\) 0.741749 4.25161i 0.0478797 0.274440i
\(241\) 2.21794 1.28053i 0.142870 0.0824863i −0.426861 0.904317i \(-0.640381\pi\)
0.569731 + 0.821831i \(0.307047\pi\)
\(242\) 21.8249i 1.40296i
\(243\) −10.1276 11.8504i −0.649688 0.760201i
\(244\) −15.7229 −1.00655
\(245\) 14.1779 8.18560i 0.905792 0.522959i
\(246\) −14.7926 2.58076i −0.943141 0.164543i
\(247\) −6.28540 + 23.6544i −0.399930 + 1.50509i
\(248\) 3.19360 5.53147i 0.202794 0.351249i
\(249\) 2.27988 0.834482i 0.144482 0.0528831i
\(250\) −1.07048 1.85413i −0.0677034 0.117266i
\(251\) 7.25941 0.458210 0.229105 0.973402i \(-0.426420\pi\)
0.229105 + 0.973402i \(0.426420\pi\)
\(252\) −12.6889 + 35.2587i −0.799325 + 2.22109i
\(253\) 0.977627i 0.0614629i
\(254\) 16.3960 9.46624i 1.02878 0.593965i
\(255\) 7.18457 + 6.00646i 0.449915 + 0.376139i
\(256\) −1.54244 + 2.67159i −0.0964025 + 0.166974i
\(257\) −4.69146 + 8.12585i −0.292645 + 0.506876i −0.974434 0.224672i \(-0.927869\pi\)
0.681789 + 0.731549i \(0.261202\pi\)
\(258\) 11.8714 + 9.92477i 0.739082 + 0.617889i
\(259\) 6.92850 + 12.0005i 0.430516 + 0.745676i
\(260\) 8.99336 2.42985i 0.557745 0.150693i
\(261\) −1.36490 7.58031i −0.0844852 0.469210i
\(262\) 8.84762i 0.546608i
\(263\) −6.05462 10.4869i −0.373344 0.646650i 0.616734 0.787172i \(-0.288455\pi\)
−0.990078 + 0.140521i \(0.955122\pi\)
\(264\) 0.668014 + 1.82508i 0.0411134 + 0.112326i
\(265\) 5.94006 + 3.42950i 0.364895 + 0.210672i
\(266\) 60.8466 + 35.1298i 3.73074 + 2.15395i
\(267\) −1.02512 + 5.87585i −0.0627362 + 0.359596i
\(268\) 13.6116 7.85865i 0.831459 0.480043i
\(269\) −23.8192 −1.45228 −0.726141 0.687546i \(-0.758688\pi\)
−0.726141 + 0.687546i \(0.758688\pi\)
\(270\) 9.66439 + 5.51005i 0.588156 + 0.335331i
\(271\) 17.6076i 1.06958i −0.844984 0.534792i \(-0.820390\pi\)
0.844984 0.534792i \(-0.179610\pi\)
\(272\) −6.73600 11.6671i −0.408430 0.707421i
\(273\) 30.0653 2.74830i 1.81964 0.166335i
\(274\) −2.59837 + 4.50052i −0.156974 + 0.271886i
\(275\) −0.777530 0.448907i −0.0468868 0.0270701i
\(276\) 1.67495 + 4.57611i 0.100820 + 0.275449i
\(277\) 9.47362 + 16.4088i 0.569215 + 0.985909i 0.996644 + 0.0818601i \(0.0260861\pi\)
−0.427429 + 0.904049i \(0.640581\pi\)
\(278\) 14.9462i 0.896412i
\(279\) −9.89758 11.7092i −0.592553 0.701012i
\(280\) 6.04193i 0.361074i
\(281\) −2.04247 + 1.17922i −0.121843 + 0.0703463i −0.559683 0.828707i \(-0.689077\pi\)
0.437840 + 0.899053i \(0.355744\pi\)
\(282\) 18.2636 21.8458i 1.08758 1.30090i
\(283\) −7.90234 + 13.6873i −0.469745 + 0.813623i −0.999402 0.0345895i \(-0.988988\pi\)
0.529656 + 0.848212i \(0.322321\pi\)
\(284\) −29.7795 17.1932i −1.76709 1.02023i
\(285\) 7.54128 9.02043i 0.446707 0.534324i
\(286\) 4.89043 4.91084i 0.289177 0.290384i
\(287\) 19.5760 1.15554
\(288\) −15.1724 17.9495i −0.894044 1.05769i
\(289\) 12.2319 0.719521
\(290\) 2.74837 + 4.76031i 0.161390 + 0.279535i
\(291\) 30.0497 10.9988i 1.76154 0.644759i
\(292\) −26.5102 15.3057i −1.55139 0.895697i
\(293\) −0.725271 0.418735i −0.0423708 0.0244628i 0.478665 0.877998i \(-0.341121\pi\)
−0.521036 + 0.853535i \(0.674454\pi\)
\(294\) 10.4338 59.8055i 0.608514 3.48793i
\(295\) −7.55048 13.0778i −0.439606 0.761420i
\(296\) 3.58231 0.208218
\(297\) 4.66511 0.0253092i 0.270697 0.00146859i
\(298\) 3.67937 0.213140
\(299\) 2.77036 2.78193i 0.160214 0.160883i
\(300\) −4.40859 0.769136i −0.254530 0.0444061i
\(301\) −17.4699 10.0863i −1.00695 0.581363i
\(302\) 9.45752 16.3809i 0.544219 0.942615i
\(303\) −3.47066 9.48216i −0.199384 0.544736i
\(304\) −14.6484 + 8.45724i −0.840142 + 0.485056i
\(305\) 6.08530i 0.348443i
\(306\) 34.1768 6.15383i 1.95376 0.351791i
\(307\) 18.6008i 1.06160i −0.847496 0.530802i \(-0.821891\pi\)
0.847496 0.530802i \(-0.178109\pi\)
\(308\) −5.60721 9.71198i −0.319501 0.553391i
\(309\) 2.20058 2.63220i 0.125187 0.149741i
\(310\) 9.47581 + 5.47086i 0.538190 + 0.310724i
\(311\) −15.8716 + 27.4904i −0.899995 + 1.55884i −0.0724959 + 0.997369i \(0.523096\pi\)
−0.827499 + 0.561468i \(0.810237\pi\)
\(312\) 3.27094 7.08642i 0.185181 0.401189i
\(313\) −12.2467 21.2119i −0.692224 1.19897i −0.971108 0.238642i \(-0.923298\pi\)
0.278884 0.960325i \(-0.410035\pi\)
\(314\) 31.9801i 1.80474i
\(315\) −13.6463 4.91104i −0.768884 0.276706i
\(316\) −5.25177 −0.295435
\(317\) −26.0050 + 15.0140i −1.46059 + 0.843271i −0.999038 0.0438433i \(-0.986040\pi\)
−0.461550 + 0.887114i \(0.652706\pi\)
\(318\) 23.8853 8.74248i 1.33942 0.490254i
\(319\) 1.99623 + 1.15253i 0.111768 + 0.0645291i
\(320\) 10.2100 + 5.89477i 0.570758 + 0.329528i
\(321\) 21.2858 + 3.71358i 1.18806 + 0.207272i
\(322\) −5.63518 9.76041i −0.314036 0.543927i
\(323\) 36.7014i 2.04212i
\(324\) 21.7932 8.11109i 1.21074 0.450616i
\(325\) 0.940437 + 3.48074i 0.0521660 + 0.193077i
\(326\) 15.8437 + 27.4422i 0.877504 + 1.51988i
\(327\) −0.705932 + 4.04631i −0.0390381 + 0.223762i
\(328\) 2.53040 4.38278i 0.139718 0.241999i
\(329\) −18.5608 + 32.1482i −1.02329 + 1.77239i
\(330\) −3.12649 + 1.14436i −0.172107 + 0.0629947i
\(331\) 27.7998 16.0502i 1.52802 0.882201i 0.528573 0.848888i \(-0.322727\pi\)
0.999445 0.0333132i \(-0.0106059\pi\)
\(332\) 3.62162i 0.198762i
\(333\) 2.91180 8.09104i 0.159566 0.443386i
\(334\) −24.5309 −1.34227
\(335\) 3.04157 + 5.26815i 0.166179 + 0.287830i
\(336\) 16.0073 + 13.3824i 0.873267 + 0.730071i
\(337\) 8.85846 15.3433i 0.482551 0.835803i −0.517248 0.855836i \(-0.673044\pi\)
0.999799 + 0.0200322i \(0.00637688\pi\)
\(338\) −27.8324 + 0.115935i −1.51388 + 0.00630605i
\(339\) −5.94487 + 7.11089i −0.322881 + 0.386211i
\(340\) −12.0979 + 6.98471i −0.656099 + 0.378799i
\(341\) 4.58840 0.248476
\(342\) −7.72630 42.9099i −0.417791 2.32030i
\(343\) 45.3040i 2.44618i
\(344\) −4.51633 + 2.60750i −0.243504 + 0.140587i
\(345\) −1.77111 + 0.648262i −0.0953536 + 0.0349013i
\(346\) 1.97600 + 1.14084i 0.106230 + 0.0613321i
\(347\) 12.5697 21.7714i 0.674777 1.16875i −0.301757 0.953385i \(-0.597573\pi\)
0.976534 0.215363i \(-0.0690935\pi\)
\(348\) 11.3186 + 1.97468i 0.606743 + 0.105854i
\(349\) −19.0001 + 10.9697i −1.01705 + 0.587195i −0.913248 0.407403i \(-0.866434\pi\)
−0.103803 + 0.994598i \(0.533101\pi\)
\(350\) 10.3503 0.553244
\(351\) −13.3467 13.1478i −0.712396 0.701778i
\(352\) 7.03376 0.374901
\(353\) 6.53543 3.77323i 0.347846 0.200829i −0.315890 0.948796i \(-0.602303\pi\)
0.663736 + 0.747967i \(0.268970\pi\)
\(354\) −55.1652 9.62428i −2.93200 0.511525i
\(355\) 6.65438 11.5257i 0.353178 0.611722i
\(356\) −7.70551 4.44878i −0.408391 0.235785i
\(357\) −42.5137 + 15.5608i −2.25006 + 0.823567i
\(358\) 26.2016 15.1275i 1.38480 0.799513i
\(359\) 23.0882i 1.21855i 0.792959 + 0.609275i \(0.208539\pi\)
−0.792959 + 0.609275i \(0.791461\pi\)
\(360\) −2.86343 + 2.42041i −0.150916 + 0.127567i
\(361\) −27.0797 −1.42525
\(362\) 13.4252 7.75103i 0.705612 0.407385i
\(363\) 11.3248 13.5461i 0.594400 0.710985i
\(364\) −11.5656 + 43.5259i −0.606203 + 2.28137i
\(365\) 5.92383 10.2604i 0.310067 0.537053i
\(366\) −17.3127 14.4738i −0.904949 0.756558i
\(367\) −6.44302 11.1596i −0.336323 0.582528i 0.647415 0.762137i \(-0.275850\pi\)
−0.983738 + 0.179609i \(0.942517\pi\)
\(368\) 2.71325 0.141438
\(369\) −7.84220 9.27762i −0.408249 0.482974i
\(370\) 6.13676i 0.319035i
\(371\) −28.7165 + 16.5795i −1.49089 + 0.860764i
\(372\) 21.4776 7.86121i 1.11356 0.407585i
\(373\) 2.98747 5.17445i 0.154685 0.267923i −0.778259 0.627943i \(-0.783897\pi\)
0.932944 + 0.360021i \(0.117230\pi\)
\(374\) −5.19631 + 9.00027i −0.268695 + 0.465393i
\(375\) 0.297682 1.70628i 0.0153722 0.0881118i
\(376\) 4.79834 + 8.31096i 0.247455 + 0.428605i
\(377\) −2.41448 8.93648i −0.124352 0.460252i
\(378\) −46.4296 + 27.1430i −2.38808 + 1.39609i
\(379\) 9.57609i 0.491891i 0.969284 + 0.245945i \(0.0790984\pi\)
−0.969284 + 0.245945i \(0.920902\pi\)
\(380\) 8.76950 + 15.1892i 0.449866 + 0.779190i
\(381\) 15.0885 + 2.63239i 0.773009 + 0.134861i
\(382\) −28.1436 16.2487i −1.43995 0.831358i
\(383\) −0.246903 0.142550i −0.0126162 0.00728395i 0.493679 0.869644i \(-0.335652\pi\)
−0.506295 + 0.862360i \(0.668985\pi\)
\(384\) 15.5697 5.69881i 0.794538 0.290816i
\(385\) 3.75887 2.17019i 0.191570 0.110603i
\(386\) 2.25710 0.114883
\(387\) 2.21833 + 12.3201i 0.112764 + 0.626264i
\(388\) 47.7342i 2.42334i
\(389\) −13.8173 23.9323i −0.700566 1.21342i −0.968268 0.249914i \(-0.919598\pi\)
0.267702 0.963502i \(-0.413736\pi\)
\(390\) 12.1395 + 5.60336i 0.614710 + 0.283737i
\(391\) −2.94364 + 5.09854i −0.148866 + 0.257844i
\(392\) 17.7193 + 10.2302i 0.894959 + 0.516705i
\(393\) 4.59099 5.49147i 0.231585 0.277008i
\(394\) −28.5979 49.5331i −1.44074 2.49544i
\(395\) 2.03262i 0.102272i
\(396\) −2.35651 + 6.54805i −0.118419 + 0.329052i
\(397\) 5.54421i 0.278256i 0.990274 + 0.139128i \(0.0444300\pi\)
−0.990274 + 0.139128i \(0.955570\pi\)
\(398\) −42.0221 + 24.2615i −2.10638 + 1.21612i
\(399\) 19.5371 + 53.3771i 0.978077 + 2.67220i
\(400\) −1.24587 + 2.15792i −0.0622937 + 0.107896i
\(401\) 7.33434 + 4.23448i 0.366259 + 0.211460i 0.671823 0.740712i \(-0.265512\pi\)
−0.305564 + 0.952172i \(0.598845\pi\)
\(402\) 22.2222 + 3.87696i 1.10834 + 0.193365i
\(403\) −13.0567 13.0025i −0.650402 0.647699i
\(404\) 15.0625 0.749388
\(405\) 3.13928 + 8.43475i 0.155992 + 0.419126i
\(406\) −26.5733 −1.31881
\(407\) 1.28672 + 2.22867i 0.0637805 + 0.110471i
\(408\) −2.01148 + 11.5296i −0.0995832 + 0.570798i
\(409\) 6.55796 + 3.78624i 0.324270 + 0.187218i 0.653294 0.757104i \(-0.273386\pi\)
−0.329024 + 0.944322i \(0.606720\pi\)
\(410\) 7.50802 + 4.33475i 0.370794 + 0.214078i
\(411\) −3.94804 + 1.44506i −0.194742 + 0.0712795i
\(412\) 2.55898 + 4.43228i 0.126072 + 0.218363i
\(413\) 73.0038 3.59228
\(414\) −2.36826 + 6.58071i −0.116394 + 0.323424i
\(415\) −1.40169 −0.0688064
\(416\) −20.0152 19.9320i −0.981327 0.977248i
\(417\) 7.75550 9.27667i 0.379789 0.454280i
\(418\) 11.3001 + 6.52412i 0.552706 + 0.319105i
\(419\) 5.41851 9.38513i 0.264711 0.458493i −0.702777 0.711411i \(-0.748057\pi\)
0.967488 + 0.252917i \(0.0813900\pi\)
\(420\) 13.8765 16.5983i 0.677105 0.809913i
\(421\) 20.3325 11.7390i 0.990943 0.572121i 0.0853872 0.996348i \(-0.472787\pi\)
0.905556 + 0.424226i \(0.139454\pi\)
\(422\) 57.9581i 2.82136i
\(423\) 22.6714 4.08218i 1.10232 0.198483i
\(424\) 8.57225i 0.416305i
\(425\) −2.70333 4.68230i −0.131131 0.227125i
\(426\) −16.9634 46.3455i −0.821877 2.24545i
\(427\) 25.4773 + 14.7093i 1.23293 + 0.711834i
\(428\) −16.1161 + 27.9139i −0.779001 + 1.34927i
\(429\) 5.58357 0.510399i 0.269577 0.0246423i
\(430\) −4.46684 7.73679i −0.215410 0.373101i
\(431\) 23.0970i 1.11254i 0.831001 + 0.556271i \(0.187768\pi\)
−0.831001 + 0.556271i \(0.812232\pi\)
\(432\) −0.0702419 12.9473i −0.00337952 0.622927i
\(433\) −27.7448 −1.33333 −0.666666 0.745357i \(-0.732279\pi\)
−0.666666 + 0.745357i \(0.732279\pi\)
\(434\) −45.8096 + 26.4482i −2.19893 + 1.26955i
\(435\) −0.764271 + 4.38071i −0.0366440 + 0.210039i
\(436\) −5.30628 3.06358i −0.254125 0.146719i
\(437\) 6.40136 + 3.69583i 0.306219 + 0.176795i
\(438\) −15.1010 41.2575i −0.721556 1.97136i
\(439\) −4.58446 7.94051i −0.218804 0.378980i 0.735639 0.677374i \(-0.236882\pi\)
−0.954443 + 0.298394i \(0.903549\pi\)
\(440\) 1.12207i 0.0534928i
\(441\) 37.5088 31.7055i 1.78613 1.50979i
\(442\) 40.2912 10.8860i 1.91646 0.517794i
\(443\) 12.8822 + 22.3126i 0.612051 + 1.06010i 0.990894 + 0.134643i \(0.0429886\pi\)
−0.378843 + 0.925461i \(0.623678\pi\)
\(444\) 9.84127 + 8.22752i 0.467046 + 0.390461i
\(445\) 1.72183 2.98230i 0.0816227 0.141375i
\(446\) 8.33254 14.4324i 0.394557 0.683393i
\(447\) 2.28368 + 1.90921i 0.108014 + 0.0903025i
\(448\) −49.3592 + 28.4975i −2.33200 + 1.34638i
\(449\) 13.1355i 0.619904i 0.950752 + 0.309952i \(0.100313\pi\)
−0.950752 + 0.309952i \(0.899687\pi\)
\(450\) −4.14633 4.90527i −0.195460 0.231237i
\(451\) 3.63556 0.171192
\(452\) −6.91308 11.9738i −0.325164 0.563201i
\(453\) 14.3700 5.25970i 0.675162 0.247122i
\(454\) −25.7865 + 44.6636i −1.21022 + 2.09617i
\(455\) −16.8460 4.47629i −0.789754 0.209852i
\(456\) 14.4757 + 2.52547i 0.677887 + 0.118266i
\(457\) 4.13673 2.38834i 0.193508 0.111722i −0.400116 0.916465i \(-0.631030\pi\)
0.593624 + 0.804743i \(0.297697\pi\)
\(458\) −6.00611 −0.280647
\(459\) 24.4058 + 13.9147i 1.13916 + 0.649482i
\(460\) 2.81343i 0.131177i
\(461\) 4.55466 2.62963i 0.212132 0.122474i −0.390170 0.920743i \(-0.627584\pi\)
0.602302 + 0.798269i \(0.294250\pi\)
\(462\) 2.76624 15.8558i 0.128697 0.737677i
\(463\) −21.7963 12.5841i −1.01296 0.584834i −0.100904 0.994896i \(-0.532174\pi\)
−0.912057 + 0.410062i \(0.865507\pi\)
\(464\) 3.19866 5.54024i 0.148494 0.257199i
\(465\) 3.04256 + 8.31256i 0.141095 + 0.385486i
\(466\) 15.0955 8.71541i 0.699287 0.403734i
\(467\) −27.3504 −1.26563 −0.632813 0.774305i \(-0.718100\pi\)
−0.632813 + 0.774305i \(0.718100\pi\)
\(468\) 25.2613 11.9553i 1.16770 0.552634i
\(469\) −29.4082 −1.35794
\(470\) −14.2373 + 8.21989i −0.656716 + 0.379155i
\(471\) −16.5943 + 19.8491i −0.764627 + 0.914600i
\(472\) 9.43647 16.3444i 0.434349 0.752314i
\(473\) −3.24442 1.87317i −0.149179 0.0861283i
\(474\) −5.78280 4.83455i −0.265613 0.222058i
\(475\) −5.87876 + 3.39410i −0.269736 + 0.155732i
\(476\) 67.5334i 3.09539i
\(477\) 19.3614 + 6.96776i 0.886496 + 0.319032i
\(478\) 39.2982 1.79746
\(479\) −10.8097 + 6.24101i −0.493910 + 0.285159i −0.726195 0.687489i \(-0.758713\pi\)
0.232285 + 0.972648i \(0.425380\pi\)
\(480\) 4.66407 + 12.7427i 0.212885 + 0.581621i
\(481\) 2.65404 9.98816i 0.121014 0.455421i
\(482\) −2.74158 + 4.74855i −0.124875 + 0.216291i
\(483\) 1.56704 8.98208i 0.0713028 0.408699i
\(484\) 13.1693 + 22.8098i 0.598603 + 1.03681i
\(485\) −18.4748 −0.838898
\(486\) 31.4636 + 11.1307i 1.42722 + 0.504898i
\(487\) 7.18173i 0.325435i −0.986673 0.162718i \(-0.947974\pi\)
0.986673 0.162718i \(-0.0520260\pi\)
\(488\) 6.58639 3.80265i 0.298152 0.172138i
\(489\) −4.40586 + 25.2538i −0.199240 + 1.14202i
\(490\) −17.5251 + 30.3544i −0.791704 + 1.37127i
\(491\) 0.474406 0.821696i 0.0214097 0.0370826i −0.855122 0.518427i \(-0.826518\pi\)
0.876532 + 0.481344i \(0.159851\pi\)
\(492\) 17.0174 6.22871i 0.767205 0.280812i
\(493\) 6.94053 + 12.0213i 0.312586 + 0.541414i
\(494\) −13.6677 50.5868i −0.614938 2.27601i
\(495\) −2.53432 0.912052i −0.113909 0.0409937i
\(496\) 12.7344i 0.571792i
\(497\) 32.1698 + 55.7197i 1.44301 + 2.49937i
\(498\) −3.33391 + 3.98782i −0.149396 + 0.178698i
\(499\) 19.1929 + 11.0810i 0.859192 + 0.496055i 0.863741 0.503935i \(-0.168115\pi\)
−0.00454988 + 0.999990i \(0.501448\pi\)
\(500\) 2.23759 + 1.29187i 0.100068 + 0.0577743i
\(501\) −15.2256 12.7290i −0.680231 0.568688i
\(502\) −13.4599 + 7.77108i −0.600745 + 0.346840i
\(503\) −34.8531 −1.55402 −0.777012 0.629485i \(-0.783266\pi\)
−0.777012 + 0.629485i \(0.783266\pi\)
\(504\) −3.21205 17.8389i −0.143076 0.794608i
\(505\) 5.82972i 0.259419i
\(506\) −1.04653 1.81265i −0.0465241 0.0805822i
\(507\) −17.3349 14.3701i −0.769871 0.638200i
\(508\) −11.4240 + 19.7869i −0.506857 + 0.877902i
\(509\) −13.5976 7.85060i −0.602704 0.347972i 0.167400 0.985889i \(-0.446463\pi\)
−0.770105 + 0.637917i \(0.779796\pi\)
\(510\) −19.7510 3.44581i −0.874588 0.152583i
\(511\) 28.6380 + 49.6025i 1.26687 + 2.19429i
\(512\) 25.7494i 1.13797i
\(513\) 17.4703 30.6421i 0.771332 1.35288i
\(514\) 20.0885i 0.886067i
\(515\) −1.71545 + 0.990415i −0.0755917 + 0.0436429i
\(516\) −18.3958 3.20939i −0.809832 0.141286i
\(517\) −3.44701 + 5.97039i −0.151599 + 0.262578i
\(518\) −25.6927 14.8337i −1.12887 0.651755i
\(519\) 0.634468 + 1.73343i 0.0278501 + 0.0760890i
\(520\) −3.17969 + 3.19296i −0.139439 + 0.140021i
\(521\) 19.6835 0.862348 0.431174 0.902269i \(-0.358100\pi\)
0.431174 + 0.902269i \(0.358100\pi\)
\(522\) 10.6453 + 12.5938i 0.465933 + 0.551216i
\(523\) −10.2353 −0.447559 −0.223780 0.974640i \(-0.571840\pi\)
−0.223780 + 0.974640i \(0.571840\pi\)
\(524\) 5.33871 + 9.24692i 0.233223 + 0.403953i
\(525\) 6.42411 + 5.37070i 0.280371 + 0.234397i
\(526\) 22.4521 + 12.9627i 0.978960 + 0.565203i
\(527\) 23.9295 + 13.8157i 1.04239 + 0.601822i
\(528\) 2.97278 + 2.48531i 0.129374 + 0.108159i
\(529\) 10.9072 + 18.8917i 0.474224 + 0.821380i
\(530\) −14.6849 −0.637871
\(531\) −29.2455 34.5985i −1.26915 1.50145i
\(532\) −84.7901 −3.67612
\(533\) −10.3453 10.3023i −0.448105 0.446242i
\(534\) −4.38930 11.9920i −0.189944 0.518944i
\(535\) −10.8037 6.23749i −0.467083 0.269670i
\(536\) −3.80130 + 6.58405i −0.164191 + 0.284388i
\(537\) 24.1122 + 4.20669i 1.04052 + 0.181532i
\(538\) 44.1640 25.4981i 1.90404 1.09930i
\(539\) 14.6983i 0.633101i
\(540\) −13.4253 + 0.0728354i −0.577735 + 0.00313434i
\(541\) 28.3807i 1.22018i 0.792331 + 0.610092i \(0.208867\pi\)
−0.792331 + 0.610092i \(0.791133\pi\)
\(542\) 18.8486 + 32.6468i 0.809619 + 1.40230i
\(543\) 12.3546 + 2.15542i 0.530187 + 0.0924980i
\(544\) 36.6826 + 21.1787i 1.57275 + 0.908030i
\(545\) 1.18571 2.05372i 0.0507904 0.0879715i
\(546\) −52.8031 + 37.2802i −2.25976 + 1.59544i
\(547\) −3.92999 6.80694i −0.168034 0.291044i 0.769694 0.638412i \(-0.220409\pi\)
−0.937729 + 0.347369i \(0.887075\pi\)
\(548\) 6.27150i 0.267905i
\(549\) −3.23511 17.9670i −0.138071 0.766811i
\(550\) 1.92219 0.0819626
\(551\) 15.0931 8.71403i 0.642990 0.371230i
\(552\) −1.80840 1.51186i −0.0769705 0.0643491i
\(553\) 8.50994 + 4.91322i 0.361880 + 0.208931i
\(554\) −35.1307 20.2827i −1.49256 0.861731i
\(555\) −3.18434 + 3.80891i −0.135168 + 0.161679i
\(556\) 9.01861 + 15.6207i 0.382474 + 0.662465i
\(557\) 15.1275i 0.640973i −0.947253 0.320486i \(-0.896154\pi\)
0.947253 0.320486i \(-0.103846\pi\)
\(558\) 30.8860 + 11.1152i 1.30751 + 0.470545i
\(559\) 3.92418 + 14.5242i 0.165975 + 0.614308i
\(560\) −6.02302 10.4322i −0.254519 0.440840i
\(561\) −7.89541 + 2.88987i −0.333344 + 0.122011i
\(562\) 2.52467 4.37286i 0.106497 0.184458i
\(563\) 8.73118 15.1229i 0.367975 0.637352i −0.621273 0.783594i \(-0.713384\pi\)
0.989249 + 0.146242i \(0.0467177\pi\)
\(564\) −5.90594 + 33.8521i −0.248685 + 1.42543i
\(565\) 4.63428 2.67560i 0.194966 0.112564i
\(566\) 33.8373i 1.42229i
\(567\) −42.9019 7.24519i −1.80171 0.304269i
\(568\) 16.6331 0.697908
\(569\) 9.91390 + 17.1714i 0.415612 + 0.719862i 0.995493 0.0948400i \(-0.0302340\pi\)
−0.579880 + 0.814702i \(0.696901\pi\)
\(570\) −4.32632 + 24.7979i −0.181209 + 1.03867i
\(571\) 1.09585 1.89806i 0.0458597 0.0794314i −0.842184 0.539190i \(-0.818731\pi\)
0.888044 + 0.459758i \(0.152064\pi\)
\(572\) −2.14790 + 8.08338i −0.0898083 + 0.337983i
\(573\) −9.03656 24.6887i −0.377508 1.03139i
\(574\) −36.2966 + 20.9558i −1.51499 + 0.874680i
\(575\) 1.08890 0.0454101
\(576\) 33.2792 + 11.9765i 1.38663 + 0.499020i
\(577\) 22.8348i 0.950626i 0.879817 + 0.475313i \(0.157665\pi\)
−0.879817 + 0.475313i \(0.842335\pi\)
\(578\) −22.6795 + 13.0940i −0.943343 + 0.544639i
\(579\) 1.40092 + 1.17120i 0.0582201 + 0.0486733i
\(580\) −5.74480 3.31676i −0.238540 0.137721i
\(581\) 3.38816 5.86846i 0.140564 0.243465i
\(582\) −43.9421 + 52.5609i −1.82146 + 2.17872i
\(583\) −5.33307 + 3.07905i −0.220873 + 0.127521i
\(584\) 14.8070 0.612718
\(585\) 4.62711 + 9.77700i 0.191308 + 0.404229i
\(586\) 1.79300 0.0740681
\(587\) 10.1203 5.84296i 0.417710 0.241165i −0.276387 0.961046i \(-0.589137\pi\)
0.694097 + 0.719882i \(0.255804\pi\)
\(588\) 25.1823 + 68.8003i 1.03850 + 2.83728i
\(589\) 17.3460 30.0442i 0.714731 1.23795i
\(590\) 27.9992 + 16.1653i 1.15271 + 0.665517i
\(591\) 7.95257 45.5831i 0.327125 1.87504i
\(592\) 6.18533 3.57110i 0.254216 0.146771i
\(593\) 28.5839i 1.17380i 0.809659 + 0.586900i \(0.199652\pi\)
−0.809659 + 0.586900i \(0.800348\pi\)
\(594\) −8.62264 + 5.04086i −0.353791 + 0.206829i
\(595\) 26.1378 1.07154
\(596\) −3.84542 + 2.22015i −0.157514 + 0.0909410i
\(597\) −38.6711 6.74668i −1.58270 0.276123i
\(598\) −2.15861 + 8.12370i −0.0882723 + 0.332203i
\(599\) −6.17571 + 10.6966i −0.252333 + 0.437053i −0.964168 0.265294i \(-0.914531\pi\)
0.711835 + 0.702347i \(0.247864\pi\)
\(600\) 2.03280 0.744044i 0.0829887 0.0303755i
\(601\) −0.772027 1.33719i −0.0314916 0.0545451i 0.849850 0.527025i \(-0.176692\pi\)
−0.881342 + 0.472479i \(0.843359\pi\)
\(602\) 43.1888 1.76024
\(603\) 11.7810 + 13.9373i 0.479759 + 0.567573i
\(604\) 22.8269i 0.928814i
\(605\) −8.82820 + 5.09696i −0.358917 + 0.207221i
\(606\) 16.5856 + 13.8659i 0.673742 + 0.563264i
\(607\) −17.5724 + 30.4364i −0.713243 + 1.23537i 0.250390 + 0.968145i \(0.419441\pi\)
−0.963633 + 0.267229i \(0.913892\pi\)
\(608\) 26.5905 46.0560i 1.07839 1.86782i
\(609\) −16.4933 13.7888i −0.668342 0.558749i
\(610\) 6.51422 + 11.2830i 0.263753 + 0.456833i
\(611\) 26.7275 7.22130i 1.08128 0.292143i
\(612\) −32.0059 + 27.0540i −1.29376 + 1.09359i
\(613\) 22.9393i 0.926508i 0.886226 + 0.463254i \(0.153318\pi\)
−0.886226 + 0.463254i \(0.846682\pi\)
\(614\) 19.9119 + 34.4884i 0.803578 + 1.39184i
\(615\) 2.41073 + 6.58634i 0.0972099 + 0.265587i
\(616\) 4.69778 + 2.71226i 0.189279 + 0.109280i
\(617\) −23.2993 13.4518i −0.937993 0.541551i −0.0486624 0.998815i \(-0.515496\pi\)
−0.889331 + 0.457265i \(0.848829\pi\)
\(618\) −1.26244 + 7.23614i −0.0507828 + 0.291080i
\(619\) −18.9976 + 10.9683i −0.763579 + 0.440853i −0.830579 0.556900i \(-0.811991\pi\)
0.0670002 + 0.997753i \(0.478657\pi\)
\(620\) −13.2046 −0.530309
\(621\) −4.88462 + 2.85558i −0.196013 + 0.114590i
\(622\) 67.9611i 2.72499i
\(623\) 8.32399 + 14.4176i 0.333493 + 0.577628i
\(624\) −1.41653 15.4963i −0.0567068 0.620350i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 45.4140 + 26.2198i 1.81511 + 1.04795i
\(627\) 3.62832 + 9.91291i 0.144901 + 0.395883i
\(628\) −19.2970 33.4234i −0.770033 1.33374i
\(629\) 15.4973i 0.617919i
\(630\) 30.5593 5.50247i 1.21751 0.219224i
\(631\) 9.27074i 0.369062i −0.982827 0.184531i \(-0.940923\pi\)
0.982827 0.184531i \(-0.0590767\pi\)
\(632\) 2.19999 1.27017i 0.0875109 0.0505245i
\(633\) −30.0742 + 35.9730i −1.19534 + 1.42980i
\(634\) 32.1445 55.6760i 1.27662 2.21117i
\(635\) −7.65822 4.42147i −0.303907 0.175461i
\(636\) −19.6880 + 23.5495i −0.780678 + 0.933800i
\(637\) 41.6515 41.8254i 1.65029 1.65718i
\(638\) −4.93504 −0.195380
\(639\) 13.5198 37.5676i 0.534835 1.48615i
\(640\) −9.57239 −0.378382
\(641\) −8.48981 14.7048i −0.335327 0.580804i 0.648220 0.761453i \(-0.275514\pi\)
−0.983548 + 0.180649i \(0.942180\pi\)
\(642\) −43.4420 + 15.9006i −1.71452 + 0.627548i
\(643\) −35.3969 20.4364i −1.39592 0.805932i −0.401954 0.915660i \(-0.631669\pi\)
−0.993962 + 0.109727i \(0.965002\pi\)
\(644\) 11.7790 + 6.80060i 0.464157 + 0.267981i
\(645\) 1.24215 7.11983i 0.0489095 0.280343i
\(646\) 39.2883 + 68.0494i 1.54578 + 2.67737i
\(647\) −12.1958 −0.479465 −0.239733 0.970839i \(-0.577060\pi\)
−0.239733 + 0.970839i \(0.577060\pi\)
\(648\) −7.16759 + 8.66858i −0.281570 + 0.340534i
\(649\) 13.5579 0.532193
\(650\) −5.46978 5.44704i −0.214542 0.213650i
\(651\) −42.1566 7.35477i −1.65225 0.288256i
\(652\) −33.1175 19.1204i −1.29698 0.748813i
\(653\) 5.85446 10.1402i 0.229103 0.396818i −0.728440 0.685110i \(-0.759754\pi\)
0.957542 + 0.288292i \(0.0930875\pi\)
\(654\) −3.02262 8.25809i −0.118194 0.322917i
\(655\) −3.57888 + 2.06627i −0.139838 + 0.0807357i
\(656\) 10.0899i 0.393945i
\(657\) 12.0355 33.4432i 0.469551 1.30474i
\(658\) 79.4761i 3.09830i
\(659\) −22.7579 39.4179i −0.886523 1.53550i −0.843958 0.536409i \(-0.819781\pi\)
−0.0425646 0.999094i \(-0.513553\pi\)
\(660\) 2.57707 3.08254i 0.100312 0.119988i
\(661\) −2.17429 1.25532i −0.0845699 0.0488265i 0.457119 0.889406i \(-0.348881\pi\)
−0.541689 + 0.840579i \(0.682215\pi\)
\(662\) −34.3631 + 59.5186i −1.33556 + 2.31326i
\(663\) 30.6563 + 14.1503i 1.19059 + 0.549553i
\(664\) −0.875906 1.51711i −0.0339918 0.0588754i
\(665\) 32.8167i 1.27258i
\(666\) 3.26246 + 18.1189i 0.126418 + 0.702093i
\(667\) −2.79564 −0.108248
\(668\) 25.6379 14.8021i 0.991962 0.572709i
\(669\) 12.6607 4.63405i 0.489490 0.179163i
\(670\) −11.2789 6.51190i −0.435744 0.251577i
\(671\) 4.73150 + 2.73173i 0.182658 + 0.105457i
\(672\) −64.6237 11.2744i −2.49291 0.434921i
\(673\) 16.7111 + 28.9445i 0.644166 + 1.11573i 0.984493 + 0.175422i \(0.0561289\pi\)
−0.340327 + 0.940307i \(0.610538\pi\)
\(674\) 37.9314i 1.46106i
\(675\) −0.0281898 5.19608i −0.00108503 0.199997i
\(676\) 29.0185 16.9154i 1.11609 0.650591i
\(677\) 11.9015 + 20.6140i 0.457412 + 0.792262i 0.998823 0.0484965i \(-0.0154430\pi\)
−0.541411 + 0.840758i \(0.682110\pi\)
\(678\) 3.41048 19.5484i 0.130979 0.750753i
\(679\) 44.6571 77.3484i 1.71378 2.96836i
\(680\) 3.37857 5.85186i 0.129562 0.224408i
\(681\) −39.1807 + 14.3409i −1.50141 + 0.549545i
\(682\) −8.50751 + 4.91182i −0.325770 + 0.188083i
\(683\) 23.5247i 0.900149i −0.892991 0.450075i \(-0.851397\pi\)
0.892991 0.450075i \(-0.148603\pi\)
\(684\) 33.9671 + 40.1844i 1.29876 + 1.53649i
\(685\) 2.42729 0.0927419
\(686\) −48.4972 83.9996i −1.85163 3.20712i
\(687\) −3.72783 3.11655i −0.142225 0.118904i
\(688\) −5.19869 + 9.00439i −0.198198 + 0.343289i
\(689\) 23.9011 + 6.35094i 0.910558 + 0.241952i
\(690\) 2.58993 3.09791i 0.0985968 0.117936i
\(691\) −26.7105 + 15.4213i −1.01612 + 0.586655i −0.912976 0.408012i \(-0.866222\pi\)
−0.103139 + 0.994667i \(0.532889\pi\)
\(692\) −2.75357 −0.104675
\(693\) 9.94442 8.40584i 0.377757 0.319311i
\(694\) 53.8227i 2.04308i
\(695\) −6.04575 + 3.49052i −0.229328 + 0.132403i
\(696\) −5.21902 + 1.91026i −0.197826 + 0.0724083i
\(697\) 18.9602 + 10.9467i 0.718169 + 0.414635i
\(698\) 23.4858 40.6786i 0.888951 1.53971i
\(699\) 13.8918 + 2.42360i 0.525435 + 0.0916689i
\(700\) −10.8174 + 6.24540i −0.408858 + 0.236054i
\(701\) −35.3702 −1.33592 −0.667958 0.744199i \(-0.732831\pi\)
−0.667958 + 0.744199i \(0.732831\pi\)
\(702\) 38.8211 + 10.0903i 1.46521 + 0.380835i
\(703\) 19.4573 0.733847
\(704\) −9.16672 + 5.29241i −0.345484 + 0.199465i
\(705\) −13.1019 2.28580i −0.493448 0.0860883i
\(706\) −8.07838 + 13.9922i −0.304034 + 0.526602i
\(707\) −24.4072 14.0915i −0.917929 0.529967i
\(708\) 63.4621 23.2284i 2.38505 0.872976i
\(709\) 33.4410 19.3071i 1.25590 0.725095i 0.283626 0.958935i \(-0.408462\pi\)
0.972275 + 0.233840i \(0.0751292\pi\)
\(710\) 28.4936i 1.06935i
\(711\) −1.08059 6.00134i −0.0405254 0.225068i
\(712\) 4.30383 0.161293
\(713\) −4.81940 + 2.78248i −0.180488 + 0.104205i
\(714\) 62.1684 74.3621i 2.32659 2.78293i
\(715\) −3.12855 0.831313i −0.117001 0.0310893i
\(716\) −18.2561 + 31.6204i −0.682261 + 1.18171i
\(717\) 24.3913 + 20.3917i 0.910910 + 0.761542i
\(718\) −24.7156 42.8087i −0.922378 1.59760i
\(719\) 2.67155 0.0996320 0.0498160 0.998758i \(-0.484137\pi\)
0.0498160 + 0.998758i \(0.484137\pi\)
\(720\) −2.53126 + 7.03363i −0.0943345 + 0.262128i
\(721\) 9.57608i 0.356632i
\(722\) 50.2094 28.9884i 1.86860 1.07884i
\(723\) −4.16562 + 1.52470i −0.154921 + 0.0567042i
\(724\) −9.35403 + 16.2017i −0.347640 + 0.602130i
\(725\) 1.28370 2.22344i 0.0476755 0.0825764i
\(726\) −6.49688 + 37.2393i −0.241122 + 1.38208i
\(727\) 23.1562 + 40.1077i 0.858815 + 1.48751i 0.873060 + 0.487613i \(0.162132\pi\)
−0.0142447 + 0.999899i \(0.504534\pi\)
\(728\) −5.68205 21.0304i −0.210591 0.779438i
\(729\) 13.7529 + 23.2348i 0.509367 + 0.860549i
\(730\) 25.3655i 0.938818i
\(731\) −11.2802 19.5379i −0.417214 0.722637i
\(732\) 26.8276 + 4.68042i 0.991576 + 0.172993i
\(733\) −18.9203 10.9236i −0.698838 0.403474i 0.108077 0.994143i \(-0.465531\pi\)
−0.806914 + 0.590668i \(0.798864\pi\)
\(734\) 23.8924 + 13.7943i 0.881886 + 0.509157i
\(735\) −26.6281 + 9.74641i −0.982193 + 0.359502i
\(736\) −7.38786 + 4.26538i −0.272320 + 0.157224i
\(737\) −5.46153 −0.201178
\(738\) 24.4720 + 8.80699i 0.900828 + 0.324190i
\(739\) 49.1079i 1.80646i −0.429154 0.903231i \(-0.641188\pi\)
0.429154 0.903231i \(-0.358812\pi\)
\(740\) −3.70296 6.41371i −0.136123 0.235773i
\(741\) 17.7661 38.4899i 0.652655 1.41396i
\(742\) 35.4961 61.4811i 1.30310 2.25704i
\(743\) 2.30517 + 1.33089i 0.0845686 + 0.0488257i 0.541688 0.840580i \(-0.317785\pi\)
−0.457119 + 0.889405i \(0.651119\pi\)
\(744\) −7.09579 + 8.48755i −0.260144 + 0.311169i
\(745\) −0.859277 1.48831i −0.0314815 0.0545275i
\(746\) 12.7921i 0.468354i
\(747\) −4.13853 + 0.745177i −0.151421 + 0.0272646i
\(748\) 12.5419i 0.458579i
\(749\) 52.2289 30.1544i 1.90840 1.10182i
\(750\) 1.27460 + 3.48233i 0.0465419 + 0.127157i
\(751\) 7.21091 12.4897i 0.263130 0.455754i −0.703942 0.710257i \(-0.748579\pi\)
0.967072 + 0.254503i \(0.0819120\pi\)
\(752\) 16.5699 + 9.56664i 0.604243 + 0.348860i
\(753\) −12.3866 2.16100i −0.451392 0.0787511i
\(754\) 14.0431 + 13.9848i 0.511421 + 0.509295i
\(755\) −8.83481 −0.321532
\(756\) 32.1467 56.3839i 1.16916 2.05066i
\(757\) −24.9195 −0.905715 −0.452858 0.891583i \(-0.649595\pi\)
−0.452858 + 0.891583i \(0.649595\pi\)
\(758\) −10.2511 17.7554i −0.372335 0.644903i
\(759\) 0.291022 1.66810i 0.0105634 0.0605483i
\(760\) −7.34717 4.24189i −0.266510 0.153870i
\(761\) −9.79868 5.65727i −0.355202 0.205076i 0.311772 0.950157i \(-0.399077\pi\)
−0.666974 + 0.745081i \(0.732411\pi\)
\(762\) −30.7941 + 11.2712i −1.11555 + 0.408314i
\(763\) 5.73218 + 9.92843i 0.207519 + 0.359433i
\(764\) 39.2183 1.41887
\(765\) −10.4709 12.3874i −0.378575 0.447868i
\(766\) 0.610389 0.0220543
\(767\) −38.5802 38.4198i −1.39305 1.38726i
\(768\) 3.42712 4.09931i 0.123665 0.147921i
\(769\) 21.5515 + 12.4428i 0.777167 + 0.448698i 0.835425 0.549604i \(-0.185221\pi\)
−0.0582583 + 0.998302i \(0.518555\pi\)
\(770\) −4.64630 + 8.04763i −0.167441 + 0.290016i
\(771\) 10.4239 12.4684i 0.375406 0.449038i
\(772\) −2.35896 + 1.36195i −0.0849008 + 0.0490175i
\(773\) 23.0894i 0.830467i −0.909715 0.415234i \(-0.863700\pi\)
0.909715 0.415234i \(-0.136300\pi\)
\(774\) −17.3015 20.4683i −0.621890 0.735719i