Properties

Label 585.2.bt.b.376.8
Level $585$
Weight $2$
Character 585.376
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 376.8
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.8

$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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 −0.328797 0.944401i \(-0.606643\pi\)
−0.982273 + 0.187454i \(0.939976\pi\)
\(3\) −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 −0.994505 0.104690i \(-0.966615\pi\)
−0.587917 0.808921i \(-0.700052\pi\)
\(8\) 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 0.378182 0.925731i \(-0.376549\pi\)
−0.612616 + 0.790381i \(0.709883\pi\)
\(12\) −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 \(-0.715900\pi\)
0.627446 0.778660i \(-0.284100\pi\)
\(20\) 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 0.917189 0.398452i \(-0.130452\pi\)
−0.803664 + 0.595083i \(0.797119\pi\)
\(24\) 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 −0.960249 0.279145i \(-0.909949\pi\)
0.721871 + 0.692027i \(0.243282\pi\)
\(30\) 3.65309 0.637329i 0.666960 0.116360i
\(31\) −4.42594 + 2.55532i −0.794923 + 0.458949i −0.841693 0.539957i \(-0.818441\pi\)
0.0467698 + 0.998906i \(0.485107\pi\)
\(32\) −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 \(0.0757095\pi\)
−0.971847 + 0.235612i \(0.924290\pi\)
\(38\) −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 −0.748184 0.663492i \(-0.769074\pi\)
0.200509 + 0.979692i \(0.435741\pi\)
\(42\) −11.4985 13.7538i −1.77426 2.12226i
\(43\) 2.08636 3.61369i 0.318167 0.551082i −0.661938 0.749558i \(-0.730266\pi\)
0.980106 + 0.198476i \(0.0635993\pi\)
\(44\) 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 0.899233 0.437469i \(-0.144125\pi\)
0.0707572 + 0.997494i \(0.477458\pi\)
\(48\) −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 −0.759462 + 0.650552i \(0.774538\pi\)
−0.943125 + 0.332438i \(0.892129\pi\)
\(60\) −4.20252 1.53820i −0.542543 0.198581i
\(61\) −3.04265 + 5.27002i −0.389571 + 0.674757i −0.992392 0.123120i \(-0.960710\pi\)
0.602821 + 0.797877i \(0.294043\pi\)
\(62\) 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 −0.142395 0.989810i \(-0.545480\pi\)
0.786003 + 0.618223i \(0.212147\pi\)
\(68\) −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 \(0.289779\pi\)
−0.613456 + 0.789729i \(0.710221\pi\)
\(72\) −1.26960 3.52785i −0.149624 0.415761i
\(73\) 11.8477i 1.38666i 0.720618 + 0.693332i \(0.243858\pi\)
−0.720618 + 0.693332i \(0.756142\pi\)
\(74\) 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 −0.917517 0.397696i \(-0.869810\pi\)
0.803174 + 0.595745i \(0.203143\pi\)
\(80\) 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 0.431897 0.901923i \(-0.357844\pi\)
−0.565140 + 0.824995i \(0.691178\pi\)
\(84\) 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 \(0.0584234\pi\)
−0.983203 + 0.182514i \(0.941577\pi\)
\(90\) −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 −0.985690 0.168566i \(-0.946086\pi\)
−0.638828 0.769350i \(-0.720580\pi\)
\(98\) 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 −0.683779 0.729689i \(-0.739665\pi\)
0.973819 + 0.227326i \(0.0729983\pi\)
\(102\) −18.8277 6.89132i −1.86422 0.682343i
\(103\) −0.990415 1.71545i −0.0975885 0.169028i 0.813098 0.582128i \(-0.197780\pi\)
−0.910686 + 0.413099i \(0.864446\pi\)
\(104\) −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 \(0.0362288\pi\)
−0.993530 + 0.113571i \(0.963771\pi\)
\(110\) 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 0.963994 0.265924i \(-0.0856772\pi\)
−0.712294 + 0.701881i \(0.752344\pi\)
\(114\) 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 0.761531 0.648129i \(-0.224448\pi\)
−0.942061 + 0.335441i \(0.891115\pi\)
\(132\) 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 0.587102 0.809513i \(-0.300269\pi\)
−0.407508 + 0.913202i \(0.633602\pi\)
\(138\) 0.693985 + 3.97784i 0.0590759 + 0.338616i
\(139\) −3.49052 6.04575i −0.296062 0.512794i 0.679170 0.733981i \(-0.262340\pi\)
−0.975231 + 0.221187i \(0.929007\pi\)
\(140\) −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 −0.559723 0.828680i \(-0.689093\pi\)
0.437796 + 0.899074i \(0.355759\pi\)
\(150\) 2.84500 2.37849i 0.232294 0.194203i
\(151\) −7.65117 4.41740i −0.622643 0.359483i 0.155254 0.987875i \(-0.450380\pi\)
−0.777897 + 0.628391i \(0.783714\pi\)
\(152\) −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 0.993396 + 0.114733i \(0.0366011\pi\)
−0.397337 + 0.917673i \(0.630066\pi\)
\(158\) 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 \(0.196804\pi\)
−0.814877 + 0.579634i \(0.803196\pi\)
\(164\) −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 −0.0642587 0.997933i \(-0.520468\pi\)
0.832106 + 0.554616i \(0.187135\pi\)
\(168\) 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 −0.885571 0.464504i \(-0.846233\pi\)
0.845058 + 0.534675i \(0.179566\pi\)
\(174\) −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 −0.449181 0.893441i \(-0.648284\pi\)
0.998333 0.0577183i \(-0.0183825\pi\)
\(192\) −20.1162 + 3.50954i −1.45176 + 0.253279i
\(193\) −0.912999 + 0.527120i −0.0657191 + 0.0379429i −0.532500 0.846430i \(-0.678747\pi\)
0.466780 + 0.884373i \(0.345414\pi\)
\(194\) 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 \(-0.599355\pi\)
0.307090 0.951681i \(-0.400645\pi\)
\(198\) 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 0.780205 + 0.625524i \(0.215115\pi\)
0.151617 + 0.988439i \(0.451552\pi\)
\(212\) 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 0.257013 0.966408i \(-0.417262\pi\)
−0.708427 + 0.705784i \(0.750595\pi\)
\(224\) 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 0.992702 0.120591i \(-0.0384788\pi\)
0.391917 + 0.920001i \(0.371812\pi\)
\(228\) −23.3065 + 19.4848i −1.54351 + 1.29041i
\(229\) 2.42948 1.40266i 0.160545 0.0926906i −0.417575 0.908642i \(-0.637120\pi\)
0.578120 + 0.815952i \(0.303787\pi\)
\(230\) −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 −0.916480 0.400081i \(-0.868982\pi\)
−0.111760 + 0.993735i \(0.535649\pi\)
\(240\) 0.741749 + 4.25161i 0.0478797 + 0.274440i
\(241\) 2.21794 + 1.28053i 0.142870 + 0.0824863i 0.569731 0.821831i \(-0.307047\pi\)
−0.426861 + 0.904317i \(0.640381\pi\)
\(242\) 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 0.681789 0.731549i \(-0.261202\pi\)
−0.974434 + 0.224672i \(0.927869\pi\)
\(258\) 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 −0.990078 0.140521i \(-0.955122\pi\)
0.616734 + 0.787172i \(0.288455\pi\)
\(264\) 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 \(0.179610\pi\)
−0.844984 + 0.534792i \(0.820390\pi\)
\(272\) −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 −0.427429 0.904049i \(-0.640581\pi\)
0.996644 0.0818601i \(-0.0260861\pi\)
\(278\) 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 0.437840 0.899053i \(-0.355744\pi\)
−0.559683 + 0.828707i \(0.689077\pi\)
\(282\) 18.2636 + 21.8458i 1.08758 + 1.30090i
\(283\) −7.90234 13.6873i −0.469745 0.813623i 0.529656 0.848212i \(-0.322321\pi\)
−0.999402 + 0.0345895i \(0.988988\pi\)
\(284\) −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 −0.521036 0.853535i \(-0.674454\pi\)
0.478665 + 0.877998i \(0.341121\pi\)
\(294\) 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 \(0.178109\pi\)
−0.847496 + 0.530802i \(0.821891\pi\)
\(308\) −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 −0.827499 0.561468i \(-0.810237\pi\)
−0.0724959 0.997369i \(-0.523096\pi\)
\(312\) 3.27094 + 7.08642i 0.185181 + 0.401189i
\(313\) −12.2467 + 21.2119i −0.692224 + 1.19897i 0.278884 + 0.960325i \(0.410035\pi\)
−0.971108 + 0.238642i \(0.923298\pi\)
\(314\) 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 −0.461550 0.887114i \(-0.652706\pi\)
−0.999038 + 0.0438433i \(0.986040\pi\)
\(318\) 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 0.999445 + 0.0333132i \(0.0106059\pi\)
0.528573 + 0.848888i \(0.322727\pi\)
\(332\) 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 0.999799 0.0200322i \(-0.00637688\pi\)
−0.517248 + 0.855836i \(0.673044\pi\)
\(338\) −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 0.976534 + 0.215363i \(0.0690935\pi\)
−0.301757 + 0.953385i \(0.597573\pi\)
\(348\) 11.3186 1.97468i 0.606743 0.105854i
\(349\) −19.0001 10.9697i −1.01705 0.587195i −0.103803 0.994598i \(-0.533101\pi\)
−0.913248 + 0.407403i \(0.866434\pi\)
\(350\) 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 0.663736 0.747967i \(-0.268970\pi\)
−0.315890 + 0.948796i \(0.602303\pi\)
\(354\) −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 \(-0.791461\pi\)
0.792959 0.609275i \(-0.208539\pi\)
\(360\) −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 −0.983738 0.179609i \(-0.942517\pi\)
0.647415 + 0.762137i \(0.275850\pi\)
\(368\) 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 0.932944 0.360021i \(-0.117230\pi\)
−0.778259 + 0.627943i \(0.783897\pi\)
\(374\) −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 \(-0.920902\pi\)
0.969284 0.245945i \(-0.0790984\pi\)
\(380\) 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 −0.506295 0.862360i \(-0.668985\pi\)
0.493679 + 0.869644i \(0.335652\pi\)
\(384\) 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 0.267702 + 0.963502i \(0.413736\pi\)
−0.968268 + 0.249914i \(0.919598\pi\)
\(390\) 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 \(-0.955570\pi\)
0.990274 0.139128i \(-0.0444300\pi\)
\(398\) −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 −0.305564 0.952172i \(-0.598845\pi\)
0.671823 + 0.740712i \(0.265512\pi\)
\(402\) 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 −0.329024 0.944322i \(-0.606720\pi\)
0.653294 + 0.757104i \(0.273386\pi\)
\(410\) 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 0.967488 0.252917i \(-0.0813900\pi\)
−0.702777 + 0.711411i \(0.748057\pi\)
\(420\) 13.8765 + 16.5983i 0.677105 + 0.809913i
\(421\) 20.3325 + 11.7390i 0.990943 + 0.572121i 0.905556 0.424226i \(-0.139454\pi\)
0.0853872 + 0.996348i \(0.472787\pi\)
\(422\) 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 \(-0.812232\pi\)
0.831001 0.556271i \(-0.187768\pi\)
\(432\) −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 −0.954443 0.298394i \(-0.903549\pi\)
0.735639 + 0.677374i \(0.236882\pi\)
\(440\) 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 −0.378843 0.925461i \(-0.623678\pi\)
0.990894 0.134643i \(-0.0429886\pi\)
\(444\) 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 \(-0.899687\pi\)
0.950752 0.309952i \(-0.100313\pi\)
\(450\) −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 0.593624 0.804743i \(-0.297697\pi\)
−0.400116 + 0.916465i \(0.631030\pi\)
\(458\) −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 0.602302 0.798269i \(-0.294250\pi\)
−0.390170 + 0.920743i \(0.627584\pi\)
\(462\) 2.76624 + 15.8558i 0.128697 + 0.737677i
\(463\) −21.7963 + 12.5841i −1.01296 + 0.584834i −0.912057 0.410062i \(-0.865507\pi\)
−0.100904 + 0.994896i \(0.532174\pi\)
\(464\) 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 0.232285 0.972648i \(-0.425380\pi\)
−0.726195 + 0.687489i \(0.758713\pi\)
\(480\) 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 \(0.0520260\pi\)
−0.986673 + 0.162718i \(0.947974\pi\)
\(488\) 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 0.876532 0.481344i \(-0.159851\pi\)
−0.855122 + 0.518427i \(0.826518\pi\)
\(492\) 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 −0.00454988 0.999990i \(-0.501448\pi\)
0.863741 + 0.503935i \(0.168115\pi\)
\(500\) 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 −0.770105 0.637917i \(-0.779796\pi\)
0.167400 + 0.985889i \(0.446463\pi\)
\(510\) −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 \(-0.791133\pi\)
0.792331 0.610092i \(-0.208867\pi\)
\(542\) 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 −0.937729 0.347369i \(-0.887075\pi\)
0.769694 + 0.638412i \(0.220409\pi\)
\(548\) 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 \(0.103846\pi\)
−0.947253 + 0.320486i \(0.896154\pi\)
\(558\) 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 0.989249 0.146242i \(-0.0467177\pi\)
−0.621273 + 0.783594i \(0.713384\pi\)
\(564\) −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 −0.579880 0.814702i \(-0.696901\pi\)
0.995493 + 0.0948400i \(0.0302340\pi\)
\(570\) −4.32632 24.7979i −0.181209 1.03867i
\(571\) 1.09585 + 1.89806i 0.0458597 + 0.0794314i 0.888044 0.459758i \(-0.152064\pi\)
−0.842184 + 0.539190i \(0.818731\pi\)
\(572\) −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 \(-0.842335\pi\)
0.879817 0.475313i \(-0.157665\pi\)
\(578\) −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 0.694097 0.719882i \(-0.255804\pi\)
−0.276387 + 0.961046i \(0.589137\pi\)
\(588\) 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 \(-0.800348\pi\)
0.809659 0.586900i \(-0.199652\pi\)
\(594\) −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 0.711835 0.702347i \(-0.247864\pi\)
−0.964168 + 0.265294i \(0.914531\pi\)
\(600\) 2.03280 + 0.744044i 0.0829887 + 0.0303755i
\(601\) −0.772027 + 1.33719i −0.0314916 + 0.0545451i −0.881342 0.472479i \(-0.843359\pi\)
0.849850 + 0.527025i \(0.176692\pi\)
\(602\) 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 −0.963633 0.267229i \(-0.913892\pi\)
0.250390 0.968145i \(-0.419441\pi\)
\(608\) 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 \(-0.846682\pi\)
0.886226 0.463254i \(-0.153318\pi\)
\(614\) 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 −0.889331 0.457265i \(-0.848829\pi\)
−0.0486624 + 0.998815i \(0.515496\pi\)
\(618\) −1.26244 7.23614i −0.0507828 0.291080i
\(619\) −18.9976 10.9683i −0.763579 0.440853i 0.0670002 0.997753i \(-0.478657\pi\)
−0.830579 + 0.556900i \(0.811991\pi\)
\(620\) −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 \(0.0590767\pi\)
−0.982827 + 0.184531i \(0.940923\pi\)
\(632\) 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 −0.983548 0.180649i \(-0.942180\pi\)
0.648220 + 0.761453i \(0.275514\pi\)
\(642\) −43.4420 15.9006i −1.71452 0.627548i
\(643\) −35.3969 + 20.4364i −1.39592 + 0.805932i −0.993962 0.109727i \(-0.965002\pi\)
−0.401954 + 0.915660i \(0.631669\pi\)
\(644\) 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 0.957542 0.288292i \(-0.0930875\pi\)
−0.728440 + 0.685110i \(0.759754\pi\)
\(654\) −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 −0.0425646 + 0.999094i \(0.513553\pi\)
−0.843958 + 0.536409i \(0.819781\pi\)
\(660\) 2.57707 + 3.08254i 0.100312 + 0.119988i
\(661\) −2.17429 + 1.25532i −0.0845699 + 0.0488265i −0.541689 0.840579i \(-0.682215\pi\)
0.457119 + 0.889406i \(0.348881\pi\)
\(662\) −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 −0.340327 0.940307i \(-0.610538\pi\)
0.984493 0.175422i \(-0.0561289\pi\)
\(674\) 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 −0.541411 0.840758i \(-0.682110\pi\)
0.998823 + 0.0484965i \(0.0154430\pi\)
\(678\) 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 \(0.148603\pi\)
−0.892991 + 0.450075i \(0.851397\pi\)
\(684\) 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 −0.103139 0.994667i \(-0.532889\pi\)
−0.912976 + 0.408012i \(0.866222\pi\)
\(692\) −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 0.972275 0.233840i \(-0.0751292\pi\)
0.283626 + 0.958935i \(0.408462\pi\)
\(710\) 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 −0.0142447 0.999899i \(-0.504534\pi\)
0.873060 0.487613i \(-0.162132\pi\)
\(728\) −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 −0.806914 0.590668i \(-0.798864\pi\)
0.108077 + 0.994143i \(0.465531\pi\)
\(734\) 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 \(0.358812\pi\)
−0.429154 + 0.903231i \(0.641188\pi\)
\(740\) −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 −0.457119 0.889405i \(-0.651119\pi\)
0.541688 + 0.840580i \(0.317785\pi\)
\(744\) −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 0.967072 0.254503i \(-0.0819120\pi\)
−0.703942 + 0.710257i \(0.748579\pi\)
\(752\) 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 −0.666974 0.745081i \(-0.732411\pi\)
0.311772 + 0.950157i \(0.399077\pi\)
\(762\) −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 −0.0582583 0.998302i \(-0.518555\pi\)
0.835425 + 0.549604i \(0.185221\pi\)
\(770\) −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 \(0.136300\pi\)
−0.909715 + 0.415234i \(0.863700\pi\)
\(774\) −17.3015 + 20.4683i −0.621890 + 0.735719i
\(775\)