Properties

Label 162.3.h.a.11.1
Level $162$
Weight $3$
Character 162.11
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 11.1
Character \(\chi\) \(=\) 162.11
Dual form 162.3.h.a.59.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.02866 - 0.970492i) q^{2} +(-2.92008 - 0.687859i) q^{3} +(0.116290 + 1.99662i) q^{4} +(0.533779 - 4.56677i) q^{5} +(2.33621 + 3.54149i) q^{6} +(7.85421 - 3.94453i) q^{7} +(1.81808 - 2.16670i) q^{8} +(8.05370 + 4.01720i) q^{9} +O(q^{10})\) \(q+(-1.02866 - 0.970492i) q^{2} +(-2.92008 - 0.687859i) q^{3} +(0.116290 + 1.99662i) q^{4} +(0.533779 - 4.56677i) q^{5} +(2.33621 + 3.54149i) q^{6} +(7.85421 - 3.94453i) q^{7} +(1.81808 - 2.16670i) q^{8} +(8.05370 + 4.01720i) q^{9} +(-4.98110 + 4.17964i) q^{10} +(-13.7218 - 5.91902i) q^{11} +(1.03382 - 5.91026i) q^{12} +(-17.5398 + 4.15701i) q^{13} +(-11.9075 - 3.56486i) q^{14} +(-4.69997 + 12.9682i) q^{15} +(-3.97295 + 0.464372i) q^{16} +(-20.6502 + 3.64120i) q^{17} +(-4.38587 - 11.9484i) q^{18} +(-0.538862 + 3.05604i) q^{19} +(9.18017 + 0.534684i) q^{20} +(-25.6482 + 6.11575i) q^{21} +(8.37076 + 19.4056i) q^{22} +(13.2936 - 26.4697i) q^{23} +(-6.79931 + 5.07635i) q^{24} +(3.75562 + 0.890099i) q^{25} +(22.0769 + 12.7461i) q^{26} +(-20.7541 - 17.2704i) q^{27} +(8.78908 + 15.2231i) q^{28} +(-15.4329 + 4.62031i) q^{29} +(17.4202 - 8.77857i) q^{30} +(-14.0339 + 9.23025i) q^{31} +(4.53749 + 3.37804i) q^{32} +(35.9973 + 26.7227i) q^{33} +(24.7759 + 16.2953i) q^{34} +(-13.8214 - 37.9739i) q^{35} +(-7.08425 + 16.5473i) q^{36} +(-48.4177 - 17.6226i) q^{37} +(3.52017 - 2.62067i) q^{38} +(54.0770 - 0.0738697i) q^{39} +(-8.92438 - 9.45929i) q^{40} +(-8.66263 + 8.17277i) q^{41} +(32.3186 + 18.6003i) q^{42} +(19.9544 + 26.8034i) q^{43} +(10.2223 - 28.0855i) q^{44} +(22.6446 - 34.6351i) q^{45} +(-39.3633 + 14.3271i) q^{46} +(40.0181 - 60.8446i) q^{47} +(11.9208 + 1.37683i) q^{48} +(16.8685 - 22.6583i) q^{49} +(-2.99943 - 4.56041i) q^{50} +(62.8049 + 3.57190i) q^{51} +(-10.3396 - 34.5368i) q^{52} +(30.4857 - 17.6009i) q^{53} +(4.58825 + 37.9071i) q^{54} +(-34.3552 + 59.5050i) q^{55} +(5.73294 - 24.1892i) q^{56} +(3.67564 - 8.55320i) q^{57} +(20.3592 + 10.2248i) q^{58} +(-43.5099 + 18.7683i) q^{59} +(-26.4390 - 7.87598i) q^{60} +(-0.664308 + 11.4057i) q^{61} +(23.3940 + 4.12500i) q^{62} +(79.1014 - 0.216107i) q^{63} +(-1.38919 - 7.87846i) q^{64} +(9.62173 + 82.3192i) q^{65} +(-11.0949 - 62.4237i) q^{66} +(28.1187 - 93.9231i) q^{67} +(-9.67148 - 40.8072i) q^{68} +(-57.0258 + 68.1495i) q^{69} +(-22.6359 + 52.4758i) q^{70} +(-66.5335 - 79.2916i) q^{71} +(23.3463 - 10.1464i) q^{72} +(25.1336 + 21.0896i) q^{73} +(32.7029 + 65.1168i) q^{74} +(-10.3544 - 5.18250i) q^{75} +(-6.16440 - 0.720515i) q^{76} +(-131.122 + 7.63698i) q^{77} +(-55.6986 - 52.4053i) q^{78} +(97.6947 - 103.550i) q^{79} +18.3915i q^{80} +(48.7241 + 64.7067i) q^{81} +16.8425 q^{82} +(80.6054 + 76.0473i) q^{83} +(-15.1934 - 50.4984i) q^{84} +(5.60584 + 96.2486i) q^{85} +(5.48617 - 46.9372i) q^{86} +(48.2434 - 2.87599i) q^{87} +(-37.7721 + 18.9699i) q^{88} +(-85.4341 + 101.816i) q^{89} +(-56.9067 + 13.6514i) q^{90} +(-121.364 + 101.836i) q^{91} +(54.3958 + 23.4641i) q^{92} +(47.3292 - 17.2997i) q^{93} +(-100.214 + 23.7512i) q^{94} +(13.6686 + 4.09211i) q^{95} +(-10.9262 - 12.9853i) q^{96} +(155.294 - 18.1513i) q^{97} +(-39.3417 + 6.93701i) q^{98} +(-86.7336 - 102.793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{13}{54}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.02866 0.970492i −0.514331 0.485246i
\(3\) −2.92008 0.687859i −0.973359 0.229286i
\(4\) 0.116290 + 1.99662i 0.0290724 + 0.499154i
\(5\) 0.533779 4.56677i 0.106756 0.913355i −0.828647 0.559771i \(-0.810889\pi\)
0.935403 0.353583i \(-0.115037\pi\)
\(6\) 2.33621 + 3.54149i 0.389368 + 0.590248i
\(7\) 7.85421 3.94453i 1.12203 0.563505i 0.211678 0.977339i \(-0.432107\pi\)
0.910352 + 0.413835i \(0.135811\pi\)
\(8\) 1.81808 2.16670i 0.227260 0.270838i
\(9\) 8.05370 + 4.01720i 0.894855 + 0.446356i
\(10\) −4.98110 + 4.17964i −0.498110 + 0.417964i
\(11\) −13.7218 5.91902i −1.24744 0.538093i −0.333042 0.942912i \(-0.608075\pi\)
−0.914397 + 0.404819i \(0.867334\pi\)
\(12\) 1.03382 5.91026i 0.0861514 0.492522i
\(13\) −17.5398 + 4.15701i −1.34921 + 0.319770i −0.840802 0.541344i \(-0.817916\pi\)
−0.508413 + 0.861113i \(0.669768\pi\)
\(14\) −11.9075 3.56486i −0.850533 0.254633i
\(15\) −4.69997 + 12.9682i −0.313332 + 0.864544i
\(16\) −3.97295 + 0.464372i −0.248310 + 0.0290232i
\(17\) −20.6502 + 3.64120i −1.21472 + 0.214188i −0.744052 0.668122i \(-0.767098\pi\)
−0.470669 + 0.882310i \(0.655987\pi\)
\(18\) −4.38587 11.9484i −0.243659 0.663800i
\(19\) −0.538862 + 3.05604i −0.0283611 + 0.160844i −0.995699 0.0926462i \(-0.970467\pi\)
0.967338 + 0.253490i \(0.0815786\pi\)
\(20\) 9.18017 + 0.534684i 0.459008 + 0.0267342i
\(21\) −25.6482 + 6.11575i −1.22134 + 0.291226i
\(22\) 8.37076 + 19.4056i 0.380489 + 0.882073i
\(23\) 13.2936 26.4697i 0.577982 1.15086i −0.394720 0.918801i \(-0.629158\pi\)
0.972702 0.232056i \(-0.0745453\pi\)
\(24\) −6.79931 + 5.07635i −0.283305 + 0.211515i
\(25\) 3.75562 + 0.890099i 0.150225 + 0.0356040i
\(26\) 22.0769 + 12.7461i 0.849110 + 0.490234i
\(27\) −20.7541 17.2704i −0.768672 0.639643i
\(28\) 8.78908 + 15.2231i 0.313896 + 0.543683i
\(29\) −15.4329 + 4.62031i −0.532169 + 0.159321i −0.541603 0.840635i \(-0.682182\pi\)
0.00943371 + 0.999956i \(0.496997\pi\)
\(30\) 17.4202 8.77857i 0.580673 0.292619i
\(31\) −14.0339 + 9.23025i −0.452707 + 0.297750i −0.755311 0.655366i \(-0.772514\pi\)
0.302604 + 0.953116i \(0.402144\pi\)
\(32\) 4.53749 + 3.37804i 0.141797 + 0.105564i
\(33\) 35.9973 + 26.7227i 1.09083 + 0.809778i
\(34\) 24.7759 + 16.2953i 0.728702 + 0.479275i
\(35\) −13.8214 37.9739i −0.394896 1.08497i
\(36\) −7.08425 + 16.5473i −0.196785 + 0.459647i
\(37\) −48.4177 17.6226i −1.30859 0.476287i −0.408804 0.912622i \(-0.634054\pi\)
−0.899784 + 0.436335i \(0.856276\pi\)
\(38\) 3.52017 2.62067i 0.0926360 0.0689649i
\(39\) 54.0770 0.0738697i 1.38659 0.00189409i
\(40\) −8.92438 9.45929i −0.223109 0.236482i
\(41\) −8.66263 + 8.17277i −0.211284 + 0.199336i −0.784607 0.619993i \(-0.787135\pi\)
0.573323 + 0.819329i \(0.305654\pi\)
\(42\) 32.3186 + 18.6003i 0.769490 + 0.442865i
\(43\) 19.9544 + 26.8034i 0.464055 + 0.623335i 0.971125 0.238570i \(-0.0766788\pi\)
−0.507070 + 0.861905i \(0.669271\pi\)
\(44\) 10.2223 28.0855i 0.232325 0.638308i
\(45\) 22.6446 34.6351i 0.503212 0.769669i
\(46\) −39.3633 + 14.3271i −0.855723 + 0.311458i
\(47\) 40.0181 60.8446i 0.851449 1.29456i −0.102542 0.994729i \(-0.532698\pi\)
0.953991 0.299836i \(-0.0969321\pi\)
\(48\) 11.9208 + 1.37683i 0.248349 + 0.0286840i
\(49\) 16.8685 22.6583i 0.344255 0.462415i
\(50\) −2.99943 4.56041i −0.0599886 0.0912083i
\(51\) 62.8049 + 3.57190i 1.23147 + 0.0700372i
\(52\) −10.3396 34.5368i −0.198839 0.664170i
\(53\) 30.4857 17.6009i 0.575202 0.332093i −0.184022 0.982922i \(-0.558912\pi\)
0.759224 + 0.650829i \(0.225579\pi\)
\(54\) 4.58825 + 37.9071i 0.0849675 + 0.701983i
\(55\) −34.3552 + 59.5050i −0.624641 + 1.08191i
\(56\) 5.73294 24.1892i 0.102374 0.431950i
\(57\) 3.67564 8.55320i 0.0644849 0.150056i
\(58\) 20.3592 + 10.2248i 0.351021 + 0.176289i
\(59\) −43.5099 + 18.7683i −0.737456 + 0.318107i −0.731469 0.681875i \(-0.761165\pi\)
−0.00598692 + 0.999982i \(0.501906\pi\)
\(60\) −26.4390 7.87598i −0.440650 0.131266i
\(61\) −0.664308 + 11.4057i −0.0108903 + 0.186979i 0.988476 + 0.151379i \(0.0483713\pi\)
−0.999366 + 0.0356002i \(0.988666\pi\)
\(62\) 23.3940 + 4.12500i 0.377323 + 0.0665322i
\(63\) 79.1014 0.216107i 1.25558 0.00343027i
\(64\) −1.38919 7.87846i −0.0217060 0.123101i
\(65\) 9.62173 + 82.3192i 0.148027 + 1.26645i
\(66\) −11.0949 62.4237i −0.168105 0.945814i
\(67\) 28.1187 93.9231i 0.419683 1.40184i −0.443195 0.896425i \(-0.646155\pi\)
0.862878 0.505413i \(-0.168660\pi\)
\(68\) −9.67148 40.8072i −0.142228 0.600106i
\(69\) −57.0258 + 68.1495i −0.826460 + 0.987674i
\(70\) −22.6359 + 52.4758i −0.323370 + 0.749655i
\(71\) −66.5335 79.2916i −0.937092 1.11678i −0.992973 0.118345i \(-0.962241\pi\)
0.0558808 0.998437i \(-0.482203\pi\)
\(72\) 23.3463 10.1464i 0.324255 0.140922i
\(73\) 25.1336 + 21.0896i 0.344296 + 0.288899i 0.798495 0.602002i \(-0.205630\pi\)
−0.454199 + 0.890900i \(0.650074\pi\)
\(74\) 32.7029 + 65.1168i 0.441931 + 0.879956i
\(75\) −10.3544 5.18250i −0.138059 0.0691000i
\(76\) −6.16440 0.720515i −0.0811105 0.00948046i
\(77\) −131.122 + 7.63698i −1.70288 + 0.0991816i
\(78\) −55.6986 52.4053i −0.714085 0.671863i
\(79\) 97.6947 103.550i 1.23664 1.31076i 0.302810 0.953051i \(-0.402075\pi\)
0.933832 0.357712i \(-0.116443\pi\)
\(80\) 18.3915i 0.229893i
\(81\) 48.7241 + 64.7067i 0.601532 + 0.798848i
\(82\) 16.8425 0.205397
\(83\) 80.6054 + 76.0473i 0.971149 + 0.916232i 0.996512 0.0834461i \(-0.0265926\pi\)
−0.0253629 + 0.999678i \(0.508074\pi\)
\(84\) −15.1934 50.4984i −0.180874 0.601171i
\(85\) 5.60584 + 96.2486i 0.0659511 + 1.13234i
\(86\) 5.48617 46.9372i 0.0637927 0.545781i
\(87\) 48.2434 2.87599i 0.554522 0.0330573i
\(88\) −37.7721 + 18.9699i −0.429228 + 0.215567i
\(89\) −85.4341 + 101.816i −0.959934 + 1.14400i 0.0295797 + 0.999562i \(0.490583\pi\)
−0.989513 + 0.144442i \(0.953861\pi\)
\(90\) −56.9067 + 13.6514i −0.632297 + 0.151683i
\(91\) −121.364 + 101.836i −1.33367 + 1.11908i
\(92\) 54.3958 + 23.4641i 0.591259 + 0.255044i
\(93\) 47.3292 17.2997i 0.508916 0.186018i
\(94\) −100.214 + 23.7512i −1.06611 + 0.252672i
\(95\) 13.6686 + 4.09211i 0.143880 + 0.0430748i
\(96\) −10.9262 12.9853i −0.113815 0.135263i
\(97\) 155.294 18.1513i 1.60097 0.187127i 0.731759 0.681564i \(-0.238700\pi\)
0.869213 + 0.494437i \(0.164626\pi\)
\(98\) −39.3417 + 6.93701i −0.401446 + 0.0707858i
\(99\) −86.7336 102.793i −0.876097 1.03832i
\(100\) −1.34045 + 7.60205i −0.0134045 + 0.0760205i
\(101\) 85.5256 + 4.98130i 0.846788 + 0.0493198i 0.476051 0.879418i \(-0.342068\pi\)
0.370738 + 0.928738i \(0.379105\pi\)
\(102\) −61.1385 64.6260i −0.599397 0.633588i
\(103\) −50.7710 117.700i −0.492922 1.14272i −0.965257 0.261303i \(-0.915848\pi\)
0.472334 0.881419i \(-0.343411\pi\)
\(104\) −22.8817 + 45.5612i −0.220017 + 0.438089i
\(105\) 14.2388 + 120.394i 0.135607 + 1.14661i
\(106\) −48.4410 11.4807i −0.456991 0.108309i
\(107\) −17.4630 10.0823i −0.163206 0.0942268i 0.416173 0.909286i \(-0.363371\pi\)
−0.579378 + 0.815059i \(0.696705\pi\)
\(108\) 32.0688 43.4464i 0.296933 0.402282i
\(109\) −69.1643 119.796i −0.634535 1.09905i −0.986613 0.163076i \(-0.947858\pi\)
0.352078 0.935970i \(-0.385475\pi\)
\(110\) 93.0891 27.8690i 0.846265 0.253355i
\(111\) 129.262 + 84.7640i 1.16452 + 0.763640i
\(112\) −29.3727 + 19.3187i −0.262256 + 0.172489i
\(113\) −81.3552 60.5667i −0.719957 0.535988i 0.173667 0.984804i \(-0.444438\pi\)
−0.893624 + 0.448816i \(0.851846\pi\)
\(114\) −12.0818 + 5.23117i −0.105981 + 0.0458875i
\(115\) −113.785 74.8378i −0.989438 0.650764i
\(116\) −11.0197 30.2763i −0.0949971 0.261003i
\(117\) −157.960 36.9817i −1.35008 0.316082i
\(118\) 62.9715 + 22.9198i 0.533657 + 0.194235i
\(119\) −147.829 + 110.054i −1.24226 + 0.924826i
\(120\) 19.5532 + 33.7606i 0.162943 + 0.281338i
\(121\) 70.2186 + 74.4273i 0.580319 + 0.615102i
\(122\) 11.7525 11.0879i 0.0963321 0.0908846i
\(123\) 30.9173 17.9064i 0.251360 0.145581i
\(124\) −20.0613 26.9470i −0.161784 0.217314i
\(125\) 45.3836 124.690i 0.363069 0.997523i
\(126\) −81.5784 76.5450i −0.647447 0.607500i
\(127\) 1.25277 0.455972i 0.00986434 0.00359033i −0.337083 0.941475i \(-0.609440\pi\)
0.346948 + 0.937885i \(0.387218\pi\)
\(128\) −6.21698 + 9.45247i −0.0485702 + 0.0738474i
\(129\) −39.8314 91.9938i −0.308770 0.713130i
\(130\) 69.9926 94.0164i 0.538405 0.723203i
\(131\) 105.658 + 160.645i 0.806550 + 1.22630i 0.970802 + 0.239882i \(0.0771087\pi\)
−0.164252 + 0.986418i \(0.552521\pi\)
\(132\) −49.1688 + 74.9805i −0.372491 + 0.568034i
\(133\) 7.82230 + 26.1283i 0.0588143 + 0.196454i
\(134\) −120.076 + 69.3261i −0.896092 + 0.517359i
\(135\) −89.9480 + 85.5609i −0.666281 + 0.633785i
\(136\) −29.6544 + 51.3629i −0.218047 + 0.377668i
\(137\) 6.14478 25.9269i 0.0448524 0.189247i −0.946007 0.324146i \(-0.894923\pi\)
0.990859 + 0.134899i \(0.0430711\pi\)
\(138\) 124.799 14.7597i 0.904339 0.106954i
\(139\) −160.857 80.7852i −1.15724 0.581189i −0.236604 0.971606i \(-0.576034\pi\)
−0.920638 + 0.390418i \(0.872331\pi\)
\(140\) 74.2120 32.0120i 0.530086 0.228657i
\(141\) −158.708 + 150.144i −1.12559 + 1.06485i
\(142\) −8.51136 + 146.134i −0.0599392 + 1.02912i
\(143\) 265.283 + 46.7766i 1.85513 + 0.327109i
\(144\) −33.8624 12.2203i −0.235156 0.0848629i
\(145\) 12.8621 + 72.9448i 0.0887044 + 0.503068i
\(146\) −5.38669 46.0860i −0.0368951 0.315658i
\(147\) −64.8431 + 54.5609i −0.441110 + 0.371163i
\(148\) 29.5551 98.7210i 0.199697 0.667034i
\(149\) 15.5421 + 65.5774i 0.104310 + 0.440117i 0.999990 0.00458246i \(-0.00145865\pi\)
−0.895680 + 0.444699i \(0.853311\pi\)
\(150\) 5.62165 + 15.3799i 0.0374776 + 0.102533i
\(151\) 67.4280 156.316i 0.446543 1.03520i −0.535154 0.844755i \(-0.679746\pi\)
0.981697 0.190449i \(-0.0609944\pi\)
\(152\) 5.64183 + 6.72367i 0.0371173 + 0.0442346i
\(153\) −180.938 53.6312i −1.18260 0.350531i
\(154\) 142.292 + 119.397i 0.923972 + 0.775305i
\(155\) 34.6614 + 69.0166i 0.223622 + 0.445269i
\(156\) 6.43608 + 107.962i 0.0412569 + 0.692067i
\(157\) 130.702 + 15.2769i 0.832497 + 0.0973050i 0.521655 0.853157i \(-0.325315\pi\)
0.310842 + 0.950462i \(0.399389\pi\)
\(158\) −200.990 + 11.7063i −1.27209 + 0.0740906i
\(159\) −101.128 + 30.4262i −0.636022 + 0.191360i
\(160\) 17.8488 18.9186i 0.111555 0.118241i
\(161\) 260.336i 1.61699i
\(162\) 12.6767 113.848i 0.0782513 0.702764i
\(163\) 288.279 1.76859 0.884293 0.466933i \(-0.154641\pi\)
0.884293 + 0.466933i \(0.154641\pi\)
\(164\) −17.3253 16.3455i −0.105642 0.0996679i
\(165\) 141.251 150.128i 0.856067 0.909865i
\(166\) −9.11240 156.454i −0.0548940 0.942493i
\(167\) −4.79484 + 41.0225i −0.0287116 + 0.245644i 0.971259 + 0.238024i \(0.0764996\pi\)
−0.999971 + 0.00761994i \(0.997574\pi\)
\(168\) −33.3794 + 66.6908i −0.198687 + 0.396969i
\(169\) 139.340 69.9790i 0.824495 0.414077i
\(170\) 87.6420 104.448i 0.515541 0.614398i
\(171\) −16.6166 + 22.4477i −0.0971728 + 0.131273i
\(172\) −51.1956 + 42.9582i −0.297649 + 0.249757i
\(173\) 21.6578 + 9.34228i 0.125190 + 0.0540016i 0.457753 0.889079i \(-0.348654\pi\)
−0.332563 + 0.943081i \(0.607914\pi\)
\(174\) −52.4172 43.8614i −0.301249 0.252077i
\(175\) 33.0085 7.82315i 0.188620 0.0447037i
\(176\) 57.2648 + 17.1440i 0.325368 + 0.0974089i
\(177\) 139.962 24.8763i 0.790747 0.140544i
\(178\) 186.695 21.8215i 1.04885 0.122593i
\(179\) 135.940 23.9700i 0.759444 0.133910i 0.219501 0.975612i \(-0.429557\pi\)
0.539943 + 0.841702i \(0.318446\pi\)
\(180\) 71.7864 + 41.1848i 0.398813 + 0.228804i
\(181\) 44.2806 251.128i 0.244644 1.38745i −0.576673 0.816975i \(-0.695649\pi\)
0.821317 0.570472i \(-0.193240\pi\)
\(182\) 223.674 + 13.0275i 1.22898 + 0.0715797i
\(183\) 9.78536 32.8486i 0.0534719 0.179501i
\(184\) −33.1832 76.9273i −0.180343 0.418083i
\(185\) −106.323 + 211.706i −0.574718 + 1.14436i
\(186\) −65.4750 28.1371i −0.352016 0.151275i
\(187\) 304.911 + 72.2654i 1.63054 + 0.386446i
\(188\) 126.137 + 72.8252i 0.670941 + 0.387368i
\(189\) −231.131 53.7796i −1.22292 0.284548i
\(190\) −10.0890 17.4747i −0.0531000 0.0919719i
\(191\) −294.064 + 88.0371i −1.53960 + 0.460927i −0.940514 0.339755i \(-0.889656\pi\)
−0.599089 + 0.800682i \(0.704471\pi\)
\(192\) −1.36275 + 23.9613i −0.00709763 + 0.124798i
\(193\) −42.3673 + 27.8654i −0.219520 + 0.144381i −0.654506 0.756056i \(-0.727124\pi\)
0.434986 + 0.900437i \(0.356753\pi\)
\(194\) −177.361 132.040i −0.914232 0.680620i
\(195\) 28.5278 246.997i 0.146297 1.26665i
\(196\) 47.2017 + 31.0450i 0.240825 + 0.158393i
\(197\) 18.7989 + 51.6496i 0.0954259 + 0.262181i 0.978217 0.207585i \(-0.0665605\pi\)
−0.882791 + 0.469766i \(0.844338\pi\)
\(198\) −10.5407 + 189.914i −0.0532358 + 0.959161i
\(199\) −115.563 42.0615i −0.580719 0.211364i 0.0349238 0.999390i \(-0.488881\pi\)
−0.615642 + 0.788026i \(0.711103\pi\)
\(200\) 8.75659 6.51904i 0.0437830 0.0325952i
\(201\) −146.715 + 254.921i −0.729924 + 1.26826i
\(202\) −83.1426 88.1260i −0.411597 0.436267i
\(203\) −102.988 + 97.1645i −0.507332 + 0.478643i
\(204\) 0.171861 + 125.813i 0.000842458 + 0.616729i
\(205\) 32.6993 + 43.9227i 0.159509 + 0.214257i
\(206\) −62.0012 + 170.347i −0.300976 + 0.826926i
\(207\) 213.397 159.776i 1.03090 0.771865i
\(208\) 67.7544 24.6606i 0.325742 0.118560i
\(209\) 25.4829 38.7449i 0.121928 0.185382i
\(210\) 102.194 137.663i 0.486640 0.655539i
\(211\) −14.5270 + 19.5132i −0.0688485 + 0.0924797i −0.835214 0.549926i \(-0.814656\pi\)
0.766365 + 0.642405i \(0.222063\pi\)
\(212\) 38.6875 + 58.8214i 0.182488 + 0.277460i
\(213\) 139.742 + 277.303i 0.656064 + 1.30189i
\(214\) 8.17876 + 27.3189i 0.0382185 + 0.127659i
\(215\) 133.056 76.8201i 0.618866 0.357303i
\(216\) −75.1524 + 13.5692i −0.347928 + 0.0628202i
\(217\) −73.8163 + 127.854i −0.340167 + 0.589187i
\(218\) −45.1145 + 190.353i −0.206947 + 0.873179i
\(219\) −58.8854 78.8717i −0.268883 0.360145i
\(220\) −122.804 61.6744i −0.558199 0.280338i
\(221\) 347.065 149.709i 1.57043 0.677416i
\(222\) −50.7037 212.641i −0.228395 0.957842i
\(223\) −13.0540 + 224.129i −0.0585383 + 1.00506i 0.833332 + 0.552772i \(0.186430\pi\)
−0.891871 + 0.452291i \(0.850607\pi\)
\(224\) 48.9632 + 8.63354i 0.218586 + 0.0385426i
\(225\) 26.6709 + 22.2557i 0.118538 + 0.0989142i
\(226\) 24.9075 + 141.257i 0.110210 + 0.625032i
\(227\) −5.40305 46.2260i −0.0238020 0.203639i 0.976105 0.217301i \(-0.0697252\pi\)
−0.999907 + 0.0136619i \(0.995651\pi\)
\(228\) 17.5049 + 6.34420i 0.0767759 + 0.0278254i
\(229\) −74.7238 + 249.595i −0.326305 + 1.08993i 0.624728 + 0.780843i \(0.285210\pi\)
−0.951032 + 0.309091i \(0.899975\pi\)
\(230\) 44.4171 + 187.411i 0.193118 + 0.814829i
\(231\) 388.139 + 67.8929i 1.68026 + 0.293908i
\(232\) −18.0474 + 41.8386i −0.0777905 + 0.180339i
\(233\) −150.432 179.278i −0.645632 0.769434i 0.339617 0.940564i \(-0.389703\pi\)
−0.985248 + 0.171130i \(0.945258\pi\)
\(234\) 126.597 + 191.340i 0.541012 + 0.817694i
\(235\) −256.502 215.231i −1.09150 0.915877i
\(236\) −42.5329 84.6900i −0.180224 0.358856i
\(237\) −356.504 + 235.175i −1.50424 + 0.992298i
\(238\) 258.872 + 30.2578i 1.08770 + 0.127134i
\(239\) −53.0550 + 3.09010i −0.221987 + 0.0129293i −0.168778 0.985654i \(-0.553982\pi\)
−0.0532093 + 0.998583i \(0.516945\pi\)
\(240\) 12.6507 53.7044i 0.0527114 0.223769i
\(241\) 34.3286 36.3861i 0.142442 0.150980i −0.652225 0.758026i \(-0.726164\pi\)
0.794667 + 0.607046i \(0.207646\pi\)
\(242\) 144.707i 0.597963i
\(243\) −97.7691 222.464i −0.402342 0.915489i
\(244\) −22.8501 −0.0936480
\(245\) −94.4715 89.1292i −0.385598 0.363793i
\(246\) −49.1815 11.5853i −0.199925 0.0470947i
\(247\) −3.25244 55.8423i −0.0131678 0.226082i
\(248\) −5.51556 + 47.1886i −0.0222401 + 0.190277i
\(249\) −183.064 277.509i −0.735197 1.11449i
\(250\) −167.695 + 84.2198i −0.670782 + 0.336879i
\(251\) 83.8882 99.9740i 0.334216 0.398303i −0.572597 0.819837i \(-0.694064\pi\)
0.906812 + 0.421534i \(0.138508\pi\)
\(252\) 9.63016 + 157.910i 0.0382149 + 0.626627i
\(253\) −339.087 + 284.528i −1.34027 + 1.12462i
\(254\) −1.73119 0.746765i −0.00681573 0.00294002i
\(255\) 49.8360 284.909i 0.195435 1.11729i
\(256\) 15.5687 3.68985i 0.0608153 0.0144135i
\(257\) −92.4793 27.6865i −0.359842 0.107730i 0.101779 0.994807i \(-0.467547\pi\)
−0.461620 + 0.887078i \(0.652732\pi\)
\(258\) −48.3062 + 133.287i −0.187233 + 0.516614i
\(259\) −449.796 + 52.5736i −1.73666 + 0.202987i
\(260\) −163.241 + 28.7838i −0.627850 + 0.110707i
\(261\) −142.853 24.7866i −0.547328 0.0949677i
\(262\) 47.2186 267.790i 0.180224 1.02210i
\(263\) −43.6346 2.54142i −0.165911 0.00966321i −0.0250117 0.999687i \(-0.507962\pi\)
−0.140899 + 0.990024i \(0.544999\pi\)
\(264\) 123.346 29.4116i 0.467220 0.111407i
\(265\) −64.1068 148.616i −0.241912 0.560816i
\(266\) 17.3108 34.4687i 0.0650783 0.129582i
\(267\) 319.509 238.545i 1.19666 0.893427i
\(268\) 190.798 + 45.2201i 0.711934 + 0.168732i
\(269\) −232.505 134.237i −0.864330 0.499021i 0.00112977 0.999999i \(-0.499640\pi\)
−0.865460 + 0.500978i \(0.832974\pi\)
\(270\) 175.562 0.719463i 0.650230 0.00266468i
\(271\) 112.729 + 195.252i 0.415973 + 0.720487i 0.995530 0.0944451i \(-0.0301077\pi\)
−0.579557 + 0.814932i \(0.696774\pi\)
\(272\) 80.3516 24.0557i 0.295410 0.0884400i
\(273\) 424.441 213.889i 1.55473 0.783475i
\(274\) −31.4827 + 20.7065i −0.114900 + 0.0755712i
\(275\) −46.2655 34.4434i −0.168238 0.125249i
\(276\) −142.700 105.934i −0.517029 0.383817i
\(277\) −127.157 83.6325i −0.459050 0.301922i 0.298841 0.954303i \(-0.403400\pi\)
−0.757891 + 0.652381i \(0.773770\pi\)
\(278\) 87.0656 + 239.211i 0.313186 + 0.860470i
\(279\) −150.105 + 17.9605i −0.538010 + 0.0643747i
\(280\) −107.406 39.0927i −0.383594 0.139617i
\(281\) 230.580 171.660i 0.820568 0.610891i −0.102845 0.994697i \(-0.532795\pi\)
0.923413 + 0.383807i \(0.125387\pi\)
\(282\) 308.971 0.422057i 1.09564 0.00149666i
\(283\) −208.595 221.098i −0.737084 0.781264i 0.245037 0.969514i \(-0.421200\pi\)
−0.982121 + 0.188250i \(0.939718\pi\)
\(284\) 150.578 142.063i 0.530203 0.500221i
\(285\) −37.0986 21.3513i −0.130170 0.0749170i
\(286\) −227.491 305.573i −0.795421 1.06844i
\(287\) −35.8004 + 98.3607i −0.124740 + 0.342720i
\(288\) 22.9733 + 45.4338i 0.0797685 + 0.157756i
\(289\) 141.603 51.5394i 0.489977 0.178337i
\(290\) 57.5616 87.5181i 0.198488 0.301787i
\(291\) −465.957 53.8174i −1.60123 0.184940i
\(292\) −39.1851 + 52.6347i −0.134195 + 0.180256i
\(293\) 195.072 + 296.592i 0.665774 + 1.01226i 0.997622 + 0.0689277i \(0.0219578\pi\)
−0.331847 + 0.943333i \(0.607672\pi\)
\(294\) 119.653 + 6.80498i 0.406982 + 0.0231462i
\(295\) 62.4861 + 208.718i 0.211817 + 0.707519i
\(296\) −126.210 + 72.8675i −0.426386 + 0.246174i
\(297\) 182.561 + 359.825i 0.614684 + 1.21153i
\(298\) 47.6548 82.5405i 0.159915 0.276982i
\(299\) −123.132 + 519.535i −0.411813 + 1.73758i
\(300\) 9.14334 21.2765i 0.0304778 0.0709217i
\(301\) 262.453 + 131.809i 0.871936 + 0.437903i
\(302\) −221.064 + 95.3576i −0.731999 + 0.315754i
\(303\) −246.315 73.3754i −0.812921 0.242163i
\(304\) 0.721736 12.3917i 0.00237413 0.0407623i
\(305\) 51.7328 + 9.12188i 0.169616 + 0.0299078i
\(306\) 134.076 + 230.768i 0.438156 + 0.754142i
\(307\) −33.7911 191.639i −0.110069 0.624232i −0.989074 0.147419i \(-0.952903\pi\)
0.879005 0.476812i \(-0.158208\pi\)
\(308\) −30.4962 260.912i −0.0990138 0.847117i
\(309\) 67.2939 + 378.618i 0.217780 + 1.22530i
\(310\) 31.3252 104.633i 0.101049 0.337527i
\(311\) 93.1098 + 392.861i 0.299388 + 1.26322i 0.889887 + 0.456181i \(0.150783\pi\)
−0.590499 + 0.807038i \(0.701069\pi\)
\(312\) 98.1561 117.303i 0.314603 0.375971i
\(313\) 5.56771 12.9074i 0.0177882 0.0412377i −0.909090 0.416599i \(-0.863222\pi\)
0.926879 + 0.375361i \(0.122481\pi\)
\(314\) −119.622 142.560i −0.380962 0.454013i
\(315\) 41.2358 361.354i 0.130907 1.14715i
\(316\) 218.111 + 183.017i 0.690225 + 0.579168i
\(317\) −40.1037 79.8531i −0.126510 0.251902i 0.821457 0.570270i \(-0.193162\pi\)
−0.947967 + 0.318368i \(0.896865\pi\)
\(318\) 133.554 + 66.8452i 0.419982 + 0.210205i
\(319\) 239.115 + 27.9486i 0.749578 + 0.0876131i
\(320\) −36.7207 + 2.13874i −0.114752 + 0.00668355i
\(321\) 44.0581 + 41.4531i 0.137253 + 0.129137i
\(322\) −252.654 + 267.797i −0.784639 + 0.831669i
\(323\) 65.0700i 0.201455i
\(324\) −123.528 + 104.808i −0.381260 + 0.323482i
\(325\) −69.5730 −0.214071
\(326\) −296.542 279.773i −0.909638 0.858199i
\(327\) 119.562 + 397.389i 0.365634 + 1.21526i
\(328\) 1.95861 + 33.6281i 0.00597138 + 0.102525i
\(329\) 74.3072 635.739i 0.225858 1.93234i
\(330\) −290.997 + 17.3475i −0.881810 + 0.0525683i
\(331\) −423.906 + 212.894i −1.28068 + 0.643184i −0.953391 0.301739i \(-0.902433\pi\)
−0.327294 + 0.944923i \(0.606137\pi\)
\(332\) −142.464 + 169.782i −0.429107 + 0.511390i
\(333\) −319.148 336.431i −0.958403 1.01030i
\(334\) 44.7443 37.5449i 0.133965 0.112410i
\(335\) −413.917 178.546i −1.23557 0.532974i
\(336\) 99.0591 36.2079i 0.294819 0.107762i
\(337\) −494.914 + 117.297i −1.46859 + 0.348061i −0.885611 0.464428i \(-0.846260\pi\)
−0.582976 + 0.812490i \(0.698112\pi\)
\(338\) −211.247 63.2433i −0.624992 0.187110i
\(339\) 195.902 + 232.820i 0.577882 + 0.686786i
\(340\) −191.520 + 22.3854i −0.563293 + 0.0658395i
\(341\) 247.205 43.5889i 0.724941 0.127827i
\(342\) 38.8781 6.96483i 0.113679 0.0203650i
\(343\) −31.6719 + 179.620i −0.0923380 + 0.523675i
\(344\) 94.3536 + 5.49547i 0.274284 + 0.0159752i
\(345\) 280.784 + 296.801i 0.813867 + 0.860292i
\(346\) −13.2120 30.6288i −0.0381849 0.0885226i
\(347\) 169.991 338.480i 0.489887 0.975445i −0.503859 0.863786i \(-0.668087\pi\)
0.993746 0.111660i \(-0.0356167\pi\)
\(348\) 11.3524 + 95.9891i 0.0326220 + 0.275831i
\(349\) 358.482 + 84.9617i 1.02717 + 0.243443i 0.709460 0.704746i \(-0.248939\pi\)
0.317708 + 0.948189i \(0.397087\pi\)
\(350\) −41.5469 23.9871i −0.118705 0.0685345i
\(351\) 435.816 + 216.643i 1.24164 + 0.617218i
\(352\) −42.2680 73.2104i −0.120080 0.207984i
\(353\) −102.912 + 30.8099i −0.291536 + 0.0872803i −0.429232 0.903194i \(-0.641216\pi\)
0.137695 + 0.990475i \(0.456030\pi\)
\(354\) −168.116 110.243i −0.474904 0.311421i
\(355\) −397.621 + 261.519i −1.12006 + 0.736674i
\(356\) −213.223 158.739i −0.598942 0.445896i
\(357\) 507.373 219.682i 1.42121 0.615355i
\(358\) −163.099 107.272i −0.455585 0.299643i
\(359\) 167.454 + 460.075i 0.466444 + 1.28155i 0.920559 + 0.390602i \(0.127733\pi\)
−0.454115 + 0.890943i \(0.650044\pi\)
\(360\) −33.8744 112.033i −0.0940955 0.311204i
\(361\) 330.180 + 120.176i 0.914626 + 0.332897i
\(362\) −289.268 + 215.352i −0.799082 + 0.594894i
\(363\) −153.848 265.634i −0.423824 0.731774i
\(364\) −217.441 230.474i −0.597366 0.633171i
\(365\) 109.727 103.522i 0.300623 0.283623i
\(366\) −41.9452 + 24.2935i −0.114604 + 0.0663757i
\(367\) −189.299 254.273i −0.515802 0.692842i 0.465559 0.885017i \(-0.345853\pi\)
−0.981361 + 0.192175i \(0.938446\pi\)
\(368\) −40.5230 + 111.336i −0.110117 + 0.302544i
\(369\) −102.598 + 31.0215i −0.278043 + 0.0840690i
\(370\) 314.830 114.589i 0.850891 0.309699i
\(371\) 170.014 258.493i 0.458258 0.696747i
\(372\) 40.0447 + 92.4865i 0.107647 + 0.248620i
\(373\) 264.817 355.710i 0.709964 0.953647i −0.290030 0.957017i \(-0.593665\pi\)
0.999994 + 0.00337047i \(0.00107286\pi\)
\(374\) −243.518 370.251i −0.651117 0.989975i
\(375\) −218.293 + 332.888i −0.582115 + 0.887701i
\(376\) −59.0759 197.327i −0.157117 0.524807i
\(377\) 251.483 145.194i 0.667064 0.385130i
\(378\) 185.563 + 279.632i 0.490907 + 0.739767i
\(379\) −215.104 + 372.571i −0.567557 + 0.983037i 0.429250 + 0.903186i \(0.358778\pi\)
−0.996807 + 0.0798514i \(0.974555\pi\)
\(380\) −6.58085 + 27.7668i −0.0173180 + 0.0730706i
\(381\) −3.97183 + 0.469741i −0.0104248 + 0.00123292i
\(382\) 387.932 + 194.827i 1.01553 + 0.510018i
\(383\) 419.202 180.826i 1.09452 0.472130i 0.229216 0.973376i \(-0.426384\pi\)
0.865305 + 0.501245i \(0.167125\pi\)
\(384\) 24.6560 23.3255i 0.0642084 0.0607435i
\(385\) −35.1138 + 602.880i −0.0912046 + 1.56592i
\(386\) 70.6249 + 12.4531i 0.182966 + 0.0322618i
\(387\) 53.0319 + 296.027i 0.137033 + 0.764928i
\(388\) 54.3003 + 307.952i 0.139949 + 0.793692i
\(389\) −62.5260 534.944i −0.160735 1.37518i −0.797127 0.603811i \(-0.793648\pi\)
0.636392 0.771366i \(-0.280426\pi\)
\(390\) −269.054 + 226.390i −0.689882 + 0.580487i
\(391\) −178.135 + 595.011i −0.455587 + 1.52177i
\(392\) −18.4256 77.7437i −0.0470040 0.198326i
\(393\) −198.028 541.775i −0.503889 1.37856i
\(394\) 30.7878 71.3741i 0.0781416 0.181153i
\(395\) −420.743 501.422i −1.06517 1.26942i
\(396\) 195.153 185.127i 0.492810 0.467494i
\(397\) −112.393 94.3087i −0.283105 0.237553i 0.490166 0.871629i \(-0.336936\pi\)
−0.773271 + 0.634076i \(0.781381\pi\)
\(398\) 78.0549 + 155.420i 0.196118 + 0.390503i
\(399\) −4.86912 81.6773i −0.0122033 0.204705i
\(400\) −15.3343 1.79232i −0.0383356 0.00448079i
\(401\) 69.5388 4.05017i 0.173413 0.0101002i 0.0287816 0.999586i \(-0.490837\pi\)
0.144632 + 0.989486i \(0.453800\pi\)
\(402\) 398.319 119.842i 0.990843 0.298114i
\(403\) 207.782 220.236i 0.515587 0.546491i
\(404\) 171.341i 0.424112i
\(405\) 321.509 187.973i 0.793849 0.464131i
\(406\) 200.237 0.493196
\(407\) 560.071 + 528.400i 1.37610 + 1.29828i
\(408\) 121.924 129.586i 0.298832 0.317612i
\(409\) 36.8657 + 632.959i 0.0901361 + 1.54758i 0.675837 + 0.737051i \(0.263782\pi\)
−0.585701 + 0.810527i \(0.699181\pi\)
\(410\) 8.99019 76.9160i 0.0219273 0.187600i
\(411\) −35.7773 + 71.4817i −0.0870493 + 0.173921i
\(412\) 229.098 115.058i 0.556064 0.279266i
\(413\) −267.704 + 319.037i −0.648193 + 0.772486i
\(414\) −374.575 42.7445i −0.904770 0.103248i
\(415\) 390.316 327.514i 0.940521 0.789191i
\(416\) −93.6292 40.3877i −0.225070 0.0970858i
\(417\) 414.145 + 346.546i 0.993153 + 0.831045i
\(418\) −63.8149 + 15.1244i −0.152667 + 0.0361828i
\(419\) 208.059 + 62.2887i 0.496560 + 0.148660i 0.525284 0.850927i \(-0.323959\pi\)
−0.0287238 + 0.999587i \(0.509144\pi\)
\(420\) −238.725 + 42.4299i −0.568392 + 0.101024i
\(421\) 573.585 67.0425i 1.36244 0.159246i 0.596733 0.802440i \(-0.296465\pi\)
0.765703 + 0.643194i \(0.222391\pi\)
\(422\) 33.8808 5.97410i 0.0802863 0.0141566i
\(423\) 566.719 329.263i 1.33976 0.778399i
\(424\) 17.2894 98.0532i 0.0407770 0.231258i
\(425\) −80.7956 4.70581i −0.190107 0.0110725i
\(426\) 125.374 420.869i 0.294305 0.987956i
\(427\) 39.7726 + 92.2033i 0.0931443 + 0.215933i
\(428\) 18.0997 36.0394i 0.0422889 0.0842041i
\(429\) −742.472 319.069i −1.73070 0.743751i
\(430\) −211.423 50.1082i −0.491682 0.116531i
\(431\) 326.969 + 188.776i 0.758629 + 0.437995i 0.828803 0.559540i \(-0.189022\pi\)
−0.0701741 + 0.997535i \(0.522355\pi\)
\(432\) 90.4751 + 58.9767i 0.209433 + 0.136520i
\(433\) 112.417 + 194.713i 0.259625 + 0.449683i 0.966141 0.258013i \(-0.0830678\pi\)
−0.706517 + 0.707696i \(0.749735\pi\)
\(434\) 200.013 59.8799i 0.460859 0.137972i
\(435\) 12.6173 221.852i 0.0290054 0.510004i
\(436\) 231.144 152.026i 0.530146 0.348683i
\(437\) 73.7291 + 54.8892i 0.168716 + 0.125605i
\(438\) −15.9712 + 138.280i −0.0364639 + 0.315708i
\(439\) −601.427 395.565i −1.36999 0.901059i −0.370380 0.928880i \(-0.620773\pi\)
−0.999613 + 0.0278214i \(0.991143\pi\)
\(440\) 66.4691 + 182.622i 0.151066 + 0.415051i
\(441\) 226.877 114.719i 0.514461 0.260134i
\(442\) −502.303 182.824i −1.13643 0.413628i
\(443\) 97.0116 72.2225i 0.218988 0.163030i −0.482075 0.876130i \(-0.660117\pi\)
0.701063 + 0.713100i \(0.252709\pi\)
\(444\) −154.209 + 267.943i −0.347318 + 0.603475i
\(445\) 419.369 + 444.506i 0.942403 + 0.998889i
\(446\) 230.944 217.884i 0.517811 0.488529i
\(447\) −0.276182 202.182i −0.000617858 0.452309i
\(448\) −41.9878 56.3994i −0.0937228 0.125892i
\(449\) −305.896 + 840.443i −0.681284 + 1.87181i −0.256363 + 0.966581i \(0.582524\pi\)
−0.424921 + 0.905231i \(0.639698\pi\)
\(450\) −5.83640 48.7775i −0.0129698 0.108394i
\(451\) 167.242 60.8711i 0.370825 0.134969i
\(452\) 111.468 169.478i 0.246610 0.374952i
\(453\) −304.418 + 410.073i −0.672005 + 0.905238i
\(454\) −39.3041 + 52.7945i −0.0865729 + 0.116288i
\(455\) 400.282 + 608.599i 0.879740 + 1.33758i
\(456\) −11.8496 23.5144i −0.0259860 0.0515667i
\(457\) −240.031 801.759i −0.525232 1.75440i −0.647670 0.761921i \(-0.724257\pi\)
0.122438 0.992476i \(-0.460929\pi\)
\(458\) 319.095 184.230i 0.696715 0.402248i
\(459\) 491.463 + 281.067i 1.07073 + 0.612347i
\(460\) 136.190 235.889i 0.296066 0.512801i
\(461\) 116.351 490.924i 0.252388 1.06491i −0.688243 0.725480i \(-0.741618\pi\)
0.940631 0.339430i \(-0.110234\pi\)
\(462\) −333.374 446.525i −0.721590 0.966504i
\(463\) 689.058 + 346.058i 1.48825 + 0.747426i 0.992638 0.121120i \(-0.0386485\pi\)
0.495609 + 0.868546i \(0.334945\pi\)
\(464\) 59.1687 25.5229i 0.127519 0.0550062i
\(465\) −53.7404 225.376i −0.115571 0.484680i
\(466\) −19.2442 + 330.410i −0.0412965 + 0.709034i
\(467\) −509.215 89.7883i −1.09040 0.192266i −0.400588 0.916258i \(-0.631194\pi\)
−0.689808 + 0.723992i \(0.742305\pi\)
\(468\) 55.4691 319.686i 0.118524 0.683089i
\(469\) −149.632 848.607i −0.319046 1.80940i
\(470\) 54.9741 + 470.334i 0.116966 + 1.00071i
\(471\) −371.152 134.514i −0.788008 0.285593i
\(472\) −38.4390 + 128.395i −0.0814386 + 0.272024i
\(473\) −115.161 485.902i −0.243469 1.02728i
\(474\) 594.957 + 104.069i 1.25518 + 0.219555i
\(475\) −4.74394 + 10.9977i −0.00998723 + 0.0231530i
\(476\) −236.927 282.359i −0.497746 0.593191i
\(477\) 316.229 19.2853i 0.662954 0.0404303i
\(478\) 57.5745 + 48.3108i 0.120449 + 0.101069i
\(479\) −99.0486 197.222i −0.206782 0.411737i 0.766205 0.642596i \(-0.222143\pi\)
−0.972987 + 0.230859i \(0.925846\pi\)
\(480\) −65.1331 + 42.9663i −0.135694 + 0.0895131i
\(481\) 922.494 + 107.824i 1.91787 + 0.224167i
\(482\) −70.6249 + 4.11343i −0.146525 + 0.00853409i
\(483\) −179.074 + 760.201i −0.370755 + 1.57391i
\(484\) −140.437 + 148.855i −0.290159 + 0.307551i
\(485\) 718.883i 1.48223i
\(486\) −115.328 + 323.724i −0.237301 + 0.666099i
\(487\) −366.123 −0.751793 −0.375897 0.926662i \(-0.622665\pi\)
−0.375897 + 0.926662i \(0.622665\pi\)
\(488\) 23.5050 + 22.1758i 0.0481660 + 0.0454423i
\(489\) −841.798 198.296i −1.72147 0.405513i
\(490\) 10.6799 + 183.368i 0.0217958 + 0.374220i
\(491\) −5.16272 + 44.1699i −0.0105147 + 0.0899590i −0.997477 0.0709943i \(-0.977383\pi\)
0.986962 + 0.160953i \(0.0514569\pi\)
\(492\) 39.3477 + 59.6476i 0.0799749 + 0.121235i
\(493\) 301.870 151.605i 0.612312 0.307515i
\(494\) −50.8489 + 60.5993i −0.102933 + 0.122671i
\(495\) −515.731 + 341.224i −1.04188 + 0.689341i
\(496\) 51.4698 43.1883i 0.103770 0.0870732i
\(497\) −835.336 360.329i −1.68076 0.725008i
\(498\) −81.0093 + 463.125i −0.162669 + 0.929970i
\(499\) 244.982 58.0619i 0.490946 0.116356i 0.0223163 0.999751i \(-0.492896\pi\)
0.468630 + 0.883395i \(0.344748\pi\)
\(500\) 254.237 + 76.1134i 0.508473 + 0.152227i
\(501\) 42.2190 116.491i 0.0842695 0.232516i
\(502\) −183.317 + 21.4266i −0.365172 + 0.0426825i
\(503\) −242.715 + 42.7972i −0.482535 + 0.0850839i −0.409624 0.912255i \(-0.634340\pi\)
−0.0729111 + 0.997338i \(0.523229\pi\)
\(504\) 143.344 171.782i 0.284413 0.340837i
\(505\) 68.4003 387.917i 0.135446 0.768153i
\(506\) 624.938 + 36.3985i 1.23506 + 0.0719338i
\(507\) −455.018 + 108.498i −0.897472 + 0.214000i
\(508\) 1.05608 + 2.44828i 0.00207891 + 0.00481945i
\(509\) −345.717 + 688.380i −0.679209 + 1.35242i 0.244623 + 0.969618i \(0.421336\pi\)
−0.923832 + 0.382798i \(0.874960\pi\)
\(510\) −327.767 + 244.710i −0.642680 + 0.479823i
\(511\) 280.593 + 66.5018i 0.549106 + 0.130141i
\(512\) −19.5959 11.3137i −0.0382733 0.0220971i
\(513\) 63.9625 54.1191i 0.124683 0.105495i
\(514\) 68.2604 + 118.230i 0.132802 + 0.230020i
\(515\) −564.612 + 169.034i −1.09633 + 0.328221i
\(516\) 179.044 90.2259i 0.346985 0.174856i
\(517\) −909.262 + 598.031i −1.75873 + 1.15673i
\(518\) 513.710 + 382.443i 0.991719 + 0.738307i
\(519\) −56.8164 42.1777i −0.109473 0.0812673i
\(520\) 195.854 + 128.815i 0.376642 + 0.247722i
\(521\) 152.422 + 418.777i 0.292557 + 0.803794i 0.995691 + 0.0927363i \(0.0295614\pi\)
−0.703134 + 0.711058i \(0.748216\pi\)
\(522\) 122.892 + 164.134i 0.235425 + 0.314434i
\(523\) −734.066 267.178i −1.40357 0.510857i −0.474332 0.880346i \(-0.657311\pi\)
−0.929235 + 0.369489i \(0.879533\pi\)
\(524\) −308.460 + 229.640i −0.588664 + 0.438244i
\(525\) −101.769 + 0.139017i −0.193845 + 0.000264794i
\(526\) 42.4188 + 44.9613i 0.0806441 + 0.0854777i
\(527\) 256.195 241.707i 0.486138 0.458647i
\(528\) −155.425 89.4518i −0.294366 0.169416i
\(529\) −208.030 279.433i −0.393251 0.528228i
\(530\) −78.2867 + 215.091i −0.147711 + 0.405832i
\(531\) −425.812 23.6336i −0.801906 0.0445078i
\(532\) −51.2586 + 18.6566i −0.0963507 + 0.0350688i
\(533\) 117.966 179.359i 0.221325 0.336509i
\(534\) −560.173 64.6993i −1.04901 0.121160i
\(535\) −55.3648 + 74.3679i −0.103486 + 0.139005i
\(536\) −152.381 231.685i −0.284293 0.432247i
\(537\) −413.444 23.5138i −0.769915 0.0437873i
\(538\) 108.893 + 363.728i 0.202404 + 0.676075i
\(539\) −365.582 + 211.069i −0.678260 + 0.391594i
\(540\) −181.292 169.642i −0.335727 0.314151i
\(541\) 351.943 609.583i 0.650542 1.12677i −0.332450 0.943121i \(-0.607875\pi\)
0.982992 0.183650i \(-0.0587914\pi\)
\(542\) 73.5307 310.251i 0.135666 0.572418i
\(543\) −302.044 + 702.854i −0.556250 + 1.29439i
\(544\) −106.000 53.2354i −0.194854 0.0978593i
\(545\) −584.000 + 251.913i −1.07156 + 0.462226i
\(546\) −644.183 191.897i −1.17982 0.351460i
\(547\) −18.4348 + 316.514i −0.0337017 + 0.578636i 0.938615 + 0.344968i \(0.112110\pi\)
−0.972316 + 0.233669i \(0.924927\pi\)
\(548\) 52.4806 + 9.25374i 0.0957675 + 0.0168864i
\(549\) −51.1693 + 89.1896i −0.0932045 + 0.162458i
\(550\) 14.1645 + 80.3309i 0.0257536 + 0.146056i
\(551\) −5.80363 49.6532i −0.0105329 0.0901148i
\(552\) 43.9823 + 247.459i 0.0796781 + 0.448295i
\(553\) 358.857 1198.67i 0.648928 2.16757i
\(554\) 49.6369 + 209.434i 0.0895972 + 0.378040i
\(555\) 456.095 545.063i 0.821793 0.982096i
\(556\) 142.591 330.563i 0.256459 0.594538i
\(557\) 326.561 + 389.181i 0.586286 + 0.698708i 0.974888 0.222697i \(-0.0714862\pi\)
−0.388602 + 0.921406i \(0.627042\pi\)
\(558\) 171.838 + 127.200i 0.307953 + 0.227957i
\(559\) −461.418 387.175i −0.825434 0.692621i
\(560\) 72.5457 + 144.450i 0.129546 + 0.257947i
\(561\) −840.657 420.757i −1.49850 0.750012i
\(562\) −403.783 47.1955i −0.718476 0.0839778i
\(563\) −490.998 + 28.5974i −0.872110 + 0.0507946i −0.488360 0.872642i \(-0.662405\pi\)
−0.383750 + 0.923437i \(0.625368\pi\)
\(564\) −318.236 299.420i −0.564248 0.530886i
\(565\) −320.020 + 339.201i −0.566407 + 0.600357i
\(566\) 429.874i 0.759495i
\(567\) 637.927 + 316.026i 1.12509 + 0.557365i
\(568\) −292.764 −0.515430
\(569\) 266.774 + 251.688i 0.468846 + 0.442334i 0.884048 0.467396i \(-0.154808\pi\)
−0.415202 + 0.909729i \(0.636289\pi\)
\(570\) 17.4405 + 57.9672i 0.0305975 + 0.101697i
\(571\) 0.735502 + 12.6281i 0.00128810 + 0.0221157i 0.998891 0.0470834i \(-0.0149927\pi\)
−0.997603 + 0.0691991i \(0.977956\pi\)
\(572\) −62.5453 + 535.109i −0.109345 + 0.935505i
\(573\) 919.247 54.8001i 1.60427 0.0956372i
\(574\) 132.285 66.4359i 0.230461 0.115742i
\(575\) 73.4864 87.5777i 0.127802 0.152309i
\(576\) 20.4613 69.0314i 0.0355231 0.119846i
\(577\) 12.7062 10.6618i 0.0220211 0.0184779i −0.631711 0.775204i \(-0.717647\pi\)
0.653732 + 0.756726i \(0.273202\pi\)
\(578\) −195.680 84.4083i −0.338547 0.146035i
\(579\) 142.883 52.2265i 0.246776 0.0902011i
\(580\) −144.147 + 34.1635i −0.248529 + 0.0589025i
\(581\) 933.063 + 279.341i 1.60596 + 0.480793i
\(582\) 427.083 + 507.567i 0.733819 + 0.872109i
\(583\) −522.500 + 61.0715i −0.896226 + 0.104754i
\(584\) 91.3897 16.1145i 0.156489 0.0275933i
\(585\) −253.202 + 701.626i −0.432825 + 1.19936i
\(586\) 87.1777 494.409i 0.148767 0.843701i
\(587\) −11.8051 0.687566i −0.0201108 0.00117132i 0.0480865 0.998843i \(-0.484688\pi\)
−0.0681973 + 0.997672i \(0.521725\pi\)
\(588\) −116.478 123.122i −0.198092 0.209391i
\(589\) −20.6456 47.8620i −0.0350520 0.0812597i
\(590\) 138.282 275.342i 0.234377 0.466682i
\(591\) −19.3666 163.752i −0.0327692 0.277076i
\(592\) 200.545 + 47.5300i 0.338758 + 0.0802872i
\(593\) 527.496 + 304.550i 0.889538 + 0.513575i 0.873791 0.486301i \(-0.161654\pi\)
0.0157469 + 0.999876i \(0.494987\pi\)
\(594\) 161.414 547.313i 0.271740 0.921402i
\(595\) 423.685 + 733.844i 0.712076 + 1.23335i
\(596\) −129.126 + 38.6577i −0.216654 + 0.0648618i
\(597\) 308.520 + 202.314i 0.516785 + 0.338884i
\(598\) 630.866 414.927i 1.05496 0.693858i
\(599\) −225.317 167.742i −0.376154 0.280037i 0.392434 0.919780i \(-0.371633\pi\)
−0.768588 + 0.639744i \(0.779041\pi\)
\(600\) −30.0541 + 13.0128i −0.0500902 + 0.0216880i
\(601\) −294.431 193.650i −0.489902 0.322213i 0.280411 0.959880i \(-0.409529\pi\)
−0.770312 + 0.637667i \(0.779900\pi\)
\(602\) −142.056 390.295i −0.235973 0.648331i
\(603\) 603.768 643.470i 1.00127 1.06711i
\(604\) 319.944 + 116.450i 0.529708 + 0.192798i
\(605\) 377.374 280.945i 0.623759 0.464371i
\(606\) 182.165 + 314.525i 0.300602 + 0.519018i
\(607\) −268.798 284.909i −0.442831 0.469373i 0.467057 0.884227i \(-0.345314\pi\)
−0.909888 + 0.414854i \(0.863833\pi\)
\(608\) −12.7685 + 12.0465i −0.0210008 + 0.0198132i
\(609\) 367.569 212.886i 0.603562 0.349567i
\(610\) −44.3628 59.5896i −0.0727259 0.0976878i
\(611\) −448.978 + 1233.56i −0.734824 + 2.01891i
\(612\) 86.0396 367.501i 0.140588 0.600492i
\(613\) 399.556 145.427i 0.651805 0.237238i 0.00511068 0.999987i \(-0.498373\pi\)
0.646694 + 0.762749i \(0.276151\pi\)
\(614\) −151.225 + 229.926i −0.246294 + 0.374472i
\(615\) −65.2717 150.750i −0.106133 0.245122i
\(616\) −221.843 + 297.987i −0.360134 + 0.483744i
\(617\) −564.955 858.973i −0.915649 1.39218i −0.919886 0.392185i \(-0.871719\pi\)
0.00423749 0.999991i \(-0.498651\pi\)
\(618\) 298.223 454.778i 0.482561 0.735886i
\(619\) −239.788 800.947i −0.387379 1.29394i −0.900213 0.435449i \(-0.856589\pi\)
0.512834 0.858488i \(-0.328596\pi\)
\(620\) −133.769 + 77.2315i −0.215756 + 0.124567i
\(621\) −733.039 + 319.771i −1.18042 + 0.514930i
\(622\) 285.490 494.483i 0.458987 0.794990i
\(623\) −269.399 + 1136.68i −0.432423 + 1.82453i
\(624\) −214.811 + 25.4053i −0.344248 + 0.0407136i
\(625\) −458.980 230.508i −0.734368 0.368813i
\(626\) −18.2538 + 7.87394i −0.0291595 + 0.0125782i
\(627\) −101.063 + 95.6094i −0.161185 + 0.152487i
\(628\) −15.3028 + 262.738i −0.0243675 + 0.418373i
\(629\) 1064.01 + 187.613i 1.69158 + 0.298272i
\(630\) −393.109 + 331.692i −0.623982 + 0.526495i
\(631\) 33.8383 + 191.906i 0.0536264 + 0.304131i 0.999810 0.0195003i \(-0.00620752\pi\)
−0.946183 + 0.323631i \(0.895096\pi\)
\(632\) −46.7460 399.938i −0.0739652 0.632813i
\(633\) 55.8424 46.9875i 0.0882187 0.0742299i
\(634\) −36.2436 + 121.062i −0.0571666 + 0.190950i
\(635\) −1.41362 5.96451i −0.00222617 0.00939293i
\(636\) −72.5095 198.375i −0.114009 0.311910i
\(637\) −201.679 + 467.545i −0.316608 + 0.733980i
\(638\) −218.845 260.809i −0.343017 0.408792i
\(639\) −217.310 905.869i −0.340079 1.41764i
\(640\) 39.8488 + 33.4371i 0.0622637 + 0.0522455i
\(641\) 18.5667 + 36.9693i 0.0289652 + 0.0576744i 0.907650 0.419728i \(-0.137875\pi\)
−0.878685 + 0.477403i \(0.841578\pi\)
\(642\) −5.09100 85.3993i −0.00792991 0.133021i
\(643\) −740.921 86.6013i −1.15229 0.134683i −0.481578 0.876403i \(-0.659936\pi\)
−0.670710 + 0.741720i \(0.734010\pi\)
\(644\) 519.791 30.2744i 0.807129 0.0470099i
\(645\) −441.376 + 132.796i −0.684304 + 0.205886i
\(646\) −63.1500 + 66.9350i −0.0977553 + 0.103615i
\(647\) 294.652i 0.455412i −0.973730 0.227706i \(-0.926877\pi\)
0.973730 0.227706i \(-0.0731226\pi\)
\(648\) 228.784 + 12.0712i 0.353062 + 0.0186284i
\(649\) 708.126 1.09110
\(650\) 71.5671 + 67.5200i 0.110103 + 0.103877i
\(651\) 303.495 322.567i 0.466197 0.495495i
\(652\) 33.5239 + 575.583i 0.0514170 + 0.882797i
\(653\) 57.3917 491.017i 0.0878892 0.751940i −0.875386 0.483425i \(-0.839393\pi\)
0.963275 0.268516i \(-0.0865332\pi\)
\(654\) 262.674 524.813i 0.401642 0.802467i
\(655\) 790.029 396.767i 1.20615 0.605752i
\(656\) 30.6210 36.4927i 0.0466784 0.0556291i
\(657\) 117.697 + 270.816i 0.179143 + 0.412201i
\(658\) −693.416 + 581.845i −1.05382 + 0.884264i
\(659\) 632.410 + 272.795i 0.959652 + 0.413953i 0.817524 0.575895i \(-0.195346\pi\)
0.142128 + 0.989848i \(0.454606\pi\)
\(660\) 316.173 + 264.566i 0.479051 + 0.400857i
\(661\) 163.616 38.7777i 0.247528 0.0586652i −0.104979 0.994474i \(-0.533477\pi\)
0.352507 + 0.935809i \(0.385329\pi\)
\(662\) 642.668 + 192.402i 0.970798 + 0.290638i
\(663\) −1116.43 + 198.430i −1.68391 + 0.299292i
\(664\) 311.319 36.3879i 0.468853 0.0548011i
\(665\) 123.497 21.7759i 0.185711 0.0327458i
\(666\) 1.79167 + 655.805i 0.00269020 + 0.984692i
\(667\) −82.8605 + 469.925i −0.124229 + 0.704536i
\(668\) −82.4638 4.80297i −0.123449 0.00719007i
\(669\) 192.288 645.495i 0.287426 0.964865i
\(670\) 252.502 + 585.366i 0.376869 + 0.873681i
\(671\) 76.6262 152.575i 0.114197 0.227385i
\(672\) −137.038 58.8904i −0.203925 0.0876345i
\(673\) 1176.62 + 278.863i 1.74831 + 0.414358i 0.975452 0.220214i \(-0.0706757\pi\)
0.772863 + 0.634573i \(0.218824\pi\)
\(674\) 622.934 + 359.651i 0.924235 + 0.533607i
\(675\) −62.5724 83.3342i −0.0926999 0.123458i
\(676\) 155.925 + 270.070i 0.230658 + 0.399512i
\(677\) −345.320 + 103.382i −0.510074 + 0.152706i −0.531490 0.847065i \(-0.678368\pi\)
0.0214162 + 0.999771i \(0.493182\pi\)
\(678\) 24.4334 429.615i 0.0360375 0.633650i
\(679\) 1148.12 755.128i 1.69089 1.11212i
\(680\) 218.734 + 162.841i 0.321667 + 0.239472i
\(681\) −16.0197 + 138.700i −0.0235238 + 0.203671i
\(682\) −296.593 195.072i −0.434887 0.286030i
\(683\) −228.599 628.070i −0.334698 0.919575i −0.986872 0.161506i \(-0.948365\pi\)
0.652174 0.758069i \(-0.273857\pi\)
\(684\) −46.7517 30.5665i −0.0683505 0.0446878i
\(685\) −115.122 41.9010i −0.168062 0.0611694i
\(686\) 206.900 154.031i 0.301603 0.224535i
\(687\) 389.885 677.437i 0.567519 0.986079i
\(688\) −91.7246 97.2224i −0.133321 0.141312i
\(689\) −461.546 + 435.446i −0.669877 + 0.631997i
\(690\) −0.789289 577.806i −0.00114390 0.837400i
\(691\) −401.279 539.012i −0.580723 0.780046i 0.410555 0.911836i \(-0.365335\pi\)
−0.991278 + 0.131790i \(0.957928\pi\)
\(692\) −16.1344 + 44.3288i −0.0233156 + 0.0640590i
\(693\) −1086.70 465.238i −1.56810 0.671339i
\(694\) −503.355 + 183.206i −0.725295 + 0.263986i
\(695\) −454.790 + 691.474i −0.654374 + 0.994927i
\(696\) 81.4788 109.758i 0.117067 0.157698i
\(697\) 149.127 200.312i 0.213955 0.287392i
\(698\) −286.302 435.300i −0.410174 0.623640i
\(699\) 315.955 + 626.982i 0.452011 + 0.896970i
\(700\) 19.4584 + 64.9955i 0.0277977 + 0.0928507i
\(701\) −504.651 + 291.360i −0.719901 + 0.415635i −0.814716 0.579860i \(-0.803107\pi\)
0.0948150 + 0.995495i \(0.469774\pi\)
\(702\) −238.057 645.809i −0.339112 0.919956i
\(703\) 79.9458 138.470i 0.113721 0.196970i
\(704\) −27.5706 + 116.330i −0.0391628 + 0.165241i
\(705\) 600.958 + 804.929i 0.852423 + 1.14174i
\(706\) 135.763 + 68.1826i 0.192299 + 0.0965760i
\(707\) 691.385 298.234i 0.977914 0.421831i
\(708\) 65.9446 + 276.558i 0.0931421 + 0.390619i
\(709\) 20.9835 360.273i 0.0295959 0.508142i −0.950638 0.310301i \(-0.899570\pi\)
0.980234 0.197841i \(-0.0633929\pi\)
\(710\) 662.820 + 116.873i 0.933549 + 0.164610i
\(711\) 1202.79 441.503i 1.69168 0.620961i
\(712\) 65.2798 + 370.220i 0.0916851 + 0.519972i
\(713\) 57.7610 + 494.177i 0.0810112 + 0.693095i
\(714\) −735.114 266.423i −1.02957 0.373142i
\(715\) 355.221 1186.52i 0.496813 1.65947i
\(716\) 63.6673 + 268.633i 0.0889208 + 0.375186i
\(717\) 157.050 + 27.4710i 0.219038 + 0.0383138i
\(718\) 274.246 635.774i 0.381958 0.885479i
\(719\) −38.4934 45.8746i −0.0535373 0.0638033i 0.738611 0.674132i \(-0.235482\pi\)
−0.792149 + 0.610328i \(0.791038\pi\)
\(720\) −73.8822 + 148.119i −0.102614 + 0.205721i
\(721\) −863.039 724.176i −1.19700 1.00440i
\(722\) −223.014 444.057i −0.308884 0.615038i
\(723\) −125.271 + 82.6371i −0.173265 + 0.114298i
\(724\) 506.556 + 59.2079i 0.699662 + 0.0817788i
\(725\) −62.0727 + 3.61532i −0.0856175 + 0.00498665i
\(726\) −99.5382 + 422.556i −0.137105 + 0.582033i
\(727\) −469.439 + 497.576i −0.645720 + 0.684423i −0.964704 0.263337i \(-0.915177\pi\)
0.318984 + 0.947760i \(0.396658\pi\)
\(728\) 448.105i 0.615529i
\(729\) 132.469 + 716.863i 0.181714 + 0.983351i
\(730\) −213.340 −0.292246
\(731\) −509.659 480.839i −0.697208 0.657782i
\(732\) 66.7241 + 15.7177i 0.0911531 + 0.0214722i
\(733\) 67.6197 + 1160.99i 0.0922506 + 1.58388i 0.653948 + 0.756540i \(0.273112\pi\)
−0.561697 + 0.827343i \(0.689851\pi\)
\(734\) −52.0451 + 445.275i −0.0709062 + 0.606641i
\(735\) 214.556 + 325.247i 0.291912 + 0.442513i
\(736\) 149.735 75.1999i 0.203445 0.102174i
\(737\) −941.774 + 1122.36i −1.27785 + 1.52288i
\(738\) 135.645 + 67.6599i 0.183800 + 0.0916800i
\(739\) 955.131 801.450i 1.29246 1.08451i 0.301069 0.953602i \(-0.402657\pi\)
0.991395 0.130904i \(-0.0417879\pi\)
\(740\) −435.060 187.667i −0.587920 0.253604i
\(741\) −28.9143 + 165.301i −0.0390206 + 0.223078i
\(742\) −425.752 + 100.905i −0.573790 + 0.135991i
\(743\) 1163.96 + 348.468i 1.56657 + 0.469001i 0.948410 0.317048i \(-0.102692\pi\)
0.618164 + 0.786049i \(0.287877\pi\)
\(744\) 48.5650 134.000i 0.0652755 0.180108i
\(745\) 307.773 35.9735i 0.413119 0.0482866i
\(746\) −617.621 + 108.903i −0.827910 + 0.145983i
\(747\) 343.674 + 936.270i 0.460072 + 1.25337i
\(748\) −108.828 + 617.195i −0.145492 + 0.825127i
\(749\) −176.928 10.3049i −0.236219 0.0137582i
\(750\) 547.615 130.577i 0.730153 0.174103i
\(751\) 130.621 + 302.813i 0.173929 + 0.403213i 0.982775 0.184808i \(-0.0591665\pi\)
−0.808846 + 0.588021i \(0.799907\pi\)
\(752\) −130.736 + 260.316i −0.173850 + 0.346165i
\(753\) −313.728 + 234.229i −0.416637 + 0.311061i
\(754\) −399.601 94.7071i −0.529974 0.125606i
\(755\) −677.867 391.367i −0.897837 0.518366i
\(756\) 80.4991 467.734i 0.106480 0.618696i
\(757\) 744.561 + 1289.62i 0.983568 + 1.70359i 0.648137 + 0.761524i \(0.275549\pi\)
0.335431 + 0.942065i \(0.391118\pi\)
\(758\) 582.847 174.493i 0.768927 0.230202i
\(759\) 1185.88 597.599i 1.56242 0.787351i
\(760\) 33.7169 22.1760i 0.0443644 0.0291789i
\(761\) −818.859 609.618i −1.07603 0.801075i −0.0951065 0.995467i \(-0.530319\pi\)
−0.980924 + 0.194392i \(0.937727\pi\)
\(762\) 4.54155 + 3.37143i 0.00596004 + 0.00442445i
\(763\) −1015.77 668.083i −1.33129 0.875600i
\(764\) −209.973 576.896i −0.274834 0.755099i
\(765\) −341.503 + 797.677i −0.446409 + 1.04272i
\(766\) −606.707 220.823i −0.792046 0.288281i
\(767\) 685.135 510.064i 0.893265 0.665011i
\(768\) −48.0000 + 0.0655684i −0.0624999 + 8.53755e-5i
\(769\) −204.627 216.892i −0.266095 0.282044i 0.580525 0.814243i \(-0.302847\pi\)
−0.846619 + 0.532199i \(0.821366\pi\)
\(770\) 621.211 586.082i 0.806768 0.761146i
\(771\) 251.002 + 144.459i 0.325554 + 0.187366i