Properties

Label 177.3.h.a.5.1
Level $177$
Weight $3$
Character 177.5
Analytic conductor $4.823$
Analytic rank $0$
Dimension $1064$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(1064\)
Relative dimension: \(38\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23800 + 3.67424i) q^{2} +(2.23781 - 1.99805i) q^{3} +(-8.78304 - 6.67669i) q^{4} +(2.27487 + 0.906393i) q^{5} +(4.57091 + 10.6958i) q^{6} +(0.939802 - 0.434799i) q^{7} +(22.5687 - 15.3019i) q^{8} +(1.01559 - 8.94251i) q^{9} +O(q^{10})\) \(q+(-1.23800 + 3.67424i) q^{2} +(2.23781 - 1.99805i) q^{3} +(-8.78304 - 6.67669i) q^{4} +(2.27487 + 0.906393i) q^{5} +(4.57091 + 10.6958i) q^{6} +(0.939802 - 0.434799i) q^{7} +(22.5687 - 15.3019i) q^{8} +(1.01559 - 8.94251i) q^{9} +(-6.14659 + 7.23632i) q^{10} +(17.5370 + 4.86912i) q^{11} +(-32.9951 + 2.60777i) q^{12} +(-4.59322 + 8.66373i) q^{13} +(0.434084 + 3.99134i) q^{14} +(6.90175 - 2.51698i) q^{15} +(16.4769 + 59.3443i) q^{16} +(-4.21342 + 9.10717i) q^{17} +(31.5996 + 14.8023i) q^{18} +(30.5596 - 6.72667i) q^{19} +(-13.9286 - 23.1495i) q^{20} +(1.23435 - 2.85077i) q^{21} +(-39.6010 + 58.4071i) q^{22} +(13.2646 + 2.17462i) q^{23} +(19.9304 - 79.3361i) q^{24} +(-13.7964 - 13.0686i) q^{25} +(-26.1462 - 27.6022i) q^{26} +(-15.5949 - 22.0409i) q^{27} +(-11.1573 - 2.45591i) q^{28} +(6.34262 + 18.8242i) q^{29} +(0.703632 + 28.4747i) q^{30} +(-12.7737 - 2.81171i) q^{31} +(-129.535 - 7.02319i) q^{32} +(48.9732 - 24.1436i) q^{33} +(-28.2457 - 26.7558i) q^{34} +(2.53203 - 0.137283i) q^{35} +(-68.6264 + 71.7616i) q^{36} +(3.23099 - 4.76536i) q^{37} +(-13.1172 + 120.611i) q^{38} +(7.03181 + 28.5653i) q^{39} +(65.2104 - 14.3539i) q^{40} +(-13.4943 + 2.21228i) q^{41} +(8.94629 + 8.06454i) q^{42} +(-17.8628 - 64.3362i) q^{43} +(-121.518 - 159.855i) q^{44} +(10.4158 - 19.4226i) q^{45} +(-24.4116 + 46.0452i) q^{46} +(36.7159 - 14.6290i) q^{47} +(155.445 + 99.8797i) q^{48} +(-31.0278 + 36.5287i) q^{49} +(65.0971 - 34.5123i) q^{50} +(8.76773 + 28.7988i) q^{51} +(98.1874 - 45.4263i) q^{52} +(33.8056 - 28.7147i) q^{53} +(100.290 - 30.0128i) q^{54} +(35.4811 + 26.9720i) q^{55} +(14.5568 - 24.1936i) q^{56} +(54.9463 - 76.1126i) q^{57} -77.0168 q^{58} +(-4.85225 + 58.8001i) q^{59} +(-77.4234 - 23.9742i) q^{60} +(100.183 + 33.7555i) q^{61} +(26.1448 - 43.4529i) q^{62} +(-2.93374 - 8.84577i) q^{63} +(94.9826 - 238.388i) q^{64} +(-18.3017 + 15.5456i) q^{65} +(28.0808 + 209.829i) q^{66} +(-12.7905 - 18.8646i) q^{67} +(97.8124 - 51.8569i) q^{68} +(34.0287 - 21.6370i) q^{69} +(-2.63023 + 9.47324i) q^{70} +(-127.999 + 50.9994i) q^{71} +(-113.917 - 217.361i) q^{72} +(-15.7293 + 1.71067i) q^{73} +(13.5091 + 17.7709i) q^{74} +(-56.9855 - 1.67926i) q^{75} +(-313.318 - 144.956i) q^{76} +(18.5984 - 3.04905i) q^{77} +(-113.661 - 9.52712i) q^{78} +(-89.8530 + 54.0627i) q^{79} +(-16.3064 + 149.935i) q^{80} +(-78.9371 - 18.1639i) q^{81} +(8.57746 - 52.3202i) q^{82} +(7.51238 - 0.407310i) q^{83} +(-29.8750 + 16.7970i) q^{84} +(-17.8397 + 16.8986i) q^{85} +(258.501 + 14.0155i) q^{86} +(51.8053 + 29.4522i) q^{87} +(470.293 - 158.460i) q^{88} +(-28.5605 - 84.7644i) q^{89} +(58.4685 + 62.3151i) q^{90} +(-0.549738 + 10.1393i) q^{91} +(-101.984 - 107.664i) q^{92} +(-34.2032 + 19.2305i) q^{93} +(8.29617 + 153.014i) q^{94} +(75.6162 + 12.3966i) q^{95} +(-303.908 + 243.101i) q^{96} +(-123.387 - 13.4191i) q^{97} +(-95.8030 - 159.226i) q^{98} +(61.3526 - 151.880i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} + O(q^{10}) \) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} - 94q^{10} - 29q^{12} - 54q^{13} - 12q^{15} - 158q^{16} - 27q^{18} - 30q^{19} - 18q^{21} - 142q^{22} - 23q^{24} + 108q^{25} - 32q^{27} - 70q^{28} - 131q^{30} - 18q^{31} + 17q^{33} + 90q^{34} + 67q^{36} - 170q^{37} - 91q^{39} - 2q^{40} - 43q^{42} - 222q^{43} - 461q^{45} - 54q^{46} - 1645q^{48} - 300q^{49} - 893q^{51} - 66q^{52} - 859q^{54} + 170q^{55} - 27q^{57} - 36q^{58} + 510q^{60} - 70q^{61} + 610q^{63} - 106q^{64} + 1619q^{66} - 182q^{67} + 1487q^{69} - 206q^{70} + 2241q^{72} + 134q^{73} + 542q^{75} + 246q^{76} - 273q^{78} - 122q^{79} + 127q^{81} + 122q^{82} - 329q^{84} - 6q^{85} + 54q^{87} + 38q^{88} + 347q^{90} + 274q^{91} - 483q^{93} - 826q^{94} + 693q^{96} - 474q^{97} - 523q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23800 + 3.67424i −0.618998 + 1.83712i −0.0764882 + 0.997070i \(0.524371\pi\)
−0.542510 + 0.840050i \(0.682526\pi\)
\(3\) 2.23781 1.99805i 0.745937 0.666017i
\(4\) −8.78304 6.67669i −2.19576 1.66917i
\(5\) 2.27487 + 0.906393i 0.454975 + 0.181279i 0.586356 0.810053i \(-0.300562\pi\)
−0.131381 + 0.991332i \(0.541941\pi\)
\(6\) 4.57091 + 10.6958i 0.761819 + 1.78264i
\(7\) 0.939802 0.434799i 0.134257 0.0621141i −0.351610 0.936146i \(-0.614366\pi\)
0.485868 + 0.874032i \(0.338504\pi\)
\(8\) 22.5687 15.3019i 2.82108 1.91274i
\(9\) 1.01559 8.94251i 0.112844 0.993613i
\(10\) −6.14659 + 7.23632i −0.614659 + 0.723632i
\(11\) 17.5370 + 4.86912i 1.59427 + 0.442647i 0.947426 0.319975i \(-0.103674\pi\)
0.646845 + 0.762622i \(0.276088\pi\)
\(12\) −32.9951 + 2.60777i −2.74959 + 0.217314i
\(13\) −4.59322 + 8.66373i −0.353324 + 0.666441i −0.994927 0.100596i \(-0.967925\pi\)
0.641603 + 0.767037i \(0.278270\pi\)
\(14\) 0.434084 + 3.99134i 0.0310060 + 0.285095i
\(15\) 6.90175 2.51698i 0.460117 0.167798i
\(16\) 16.4769 + 59.3443i 1.02980 + 3.70902i
\(17\) −4.21342 + 9.10717i −0.247849 + 0.535716i −0.991072 0.133327i \(-0.957434\pi\)
0.743224 + 0.669043i \(0.233296\pi\)
\(18\) 31.5996 + 14.8023i 1.75554 + 0.822352i
\(19\) 30.5596 6.72667i 1.60840 0.354035i 0.682228 0.731139i \(-0.261011\pi\)
0.926171 + 0.377104i \(0.123080\pi\)
\(20\) −13.9286 23.1495i −0.696430 1.15748i
\(21\) 1.23435 2.85077i 0.0587786 0.135751i
\(22\) −39.6010 + 58.4071i −1.80005 + 2.65487i
\(23\) 13.2646 + 2.17462i 0.576722 + 0.0945488i 0.443082 0.896481i \(-0.353885\pi\)
0.133640 + 0.991030i \(0.457333\pi\)
\(24\) 19.9304 79.3361i 0.830432 3.30567i
\(25\) −13.7964 13.0686i −0.551855 0.522745i
\(26\) −26.1462 27.6022i −1.00562 1.06162i
\(27\) −15.5949 22.0409i −0.577588 0.816328i
\(28\) −11.1573 2.45591i −0.398476 0.0877112i
\(29\) 6.34262 + 18.8242i 0.218711 + 0.649111i 0.999698 + 0.0245641i \(0.00781978\pi\)
−0.780987 + 0.624547i \(0.785284\pi\)
\(30\) 0.703632 + 28.4747i 0.0234544 + 0.949157i
\(31\) −12.7737 2.81171i −0.412056 0.0907004i 0.00410432 0.999992i \(-0.498694\pi\)
−0.416161 + 0.909291i \(0.636625\pi\)
\(32\) −129.535 7.02319i −4.04797 0.219475i
\(33\) 48.9732 24.1436i 1.48404 0.731624i
\(34\) −28.2457 26.7558i −0.830757 0.786934i
\(35\) 2.53203 0.137283i 0.0723437 0.00392236i
\(36\) −68.6264 + 71.7616i −1.90629 + 1.99338i
\(37\) 3.23099 4.76536i 0.0873241 0.128793i −0.781518 0.623883i \(-0.785554\pi\)
0.868842 + 0.495089i \(0.164865\pi\)
\(38\) −13.1172 + 120.611i −0.345190 + 3.17397i
\(39\) 7.03181 + 28.5653i 0.180303 + 0.732443i
\(40\) 65.2104 14.3539i 1.63026 0.358847i
\(41\) −13.4943 + 2.21228i −0.329130 + 0.0539581i −0.324082 0.946029i \(-0.605055\pi\)
−0.00504840 + 0.999987i \(0.501607\pi\)
\(42\) 8.94629 + 8.06454i 0.213007 + 0.192013i
\(43\) −17.8628 64.3362i −0.415415 1.49619i −0.814982 0.579486i \(-0.803253\pi\)
0.399567 0.916704i \(-0.369160\pi\)
\(44\) −121.518 159.855i −2.76178 3.63306i
\(45\) 10.4158 19.4226i 0.231462 0.431613i
\(46\) −24.4116 + 46.0452i −0.530687 + 1.00098i
\(47\) 36.7159 14.6290i 0.781190 0.311255i 0.0547643 0.998499i \(-0.482559\pi\)
0.726426 + 0.687245i \(0.241180\pi\)
\(48\) 155.445 + 99.8797i 3.23844 + 2.08083i
\(49\) −31.0278 + 36.5287i −0.633219 + 0.745483i
\(50\) 65.0971 34.5123i 1.30194 0.690246i
\(51\) 8.76773 + 28.7988i 0.171916 + 0.564681i
\(52\) 98.1874 45.4263i 1.88822 0.873583i
\(53\) 33.8056 28.7147i 0.637841 0.541787i −0.269064 0.963122i \(-0.586714\pi\)
0.906905 + 0.421335i \(0.138438\pi\)
\(54\) 100.290 30.0128i 1.85722 0.555793i
\(55\) 35.4811 + 26.9720i 0.645111 + 0.490400i
\(56\) 14.5568 24.1936i 0.259943 0.432029i
\(57\) 54.9463 76.1126i 0.963971 1.33531i
\(58\) −77.0168 −1.32788
\(59\) −4.85225 + 58.8001i −0.0822415 + 0.996612i
\(60\) −77.4234 23.9742i −1.29039 0.399570i
\(61\) 100.183 + 33.7555i 1.64234 + 0.553369i 0.980541 0.196312i \(-0.0628967\pi\)
0.661799 + 0.749681i \(0.269793\pi\)
\(62\) 26.1448 43.4529i 0.421690 0.700853i
\(63\) −2.93374 8.84577i −0.0465672 0.140409i
\(64\) 94.9826 238.388i 1.48410 3.72482i
\(65\) −18.3017 + 15.5456i −0.281565 + 0.239163i
\(66\) 28.0808 + 209.829i 0.425466 + 3.17923i
\(67\) −12.7905 18.8646i −0.190903 0.281560i 0.720177 0.693790i \(-0.244060\pi\)
−0.911080 + 0.412230i \(0.864750\pi\)
\(68\) 97.8124 51.8569i 1.43842 0.762601i
\(69\) 34.0287 21.6370i 0.493170 0.313579i
\(70\) −2.63023 + 9.47324i −0.0375747 + 0.135332i
\(71\) −127.999 + 50.9994i −1.80280 + 0.718301i −0.811884 + 0.583819i \(0.801558\pi\)
−0.990916 + 0.134483i \(0.957063\pi\)
\(72\) −113.917 217.361i −1.58218 3.01890i
\(73\) −15.7293 + 1.71067i −0.215470 + 0.0234338i −0.215217 0.976566i \(-0.569046\pi\)
−0.000252950 1.00000i \(0.500081\pi\)
\(74\) 13.5091 + 17.7709i 0.182556 + 0.240148i
\(75\) −56.9855 1.67926i −0.759806 0.0223901i
\(76\) −313.318 144.956i −4.12260 1.90732i
\(77\) 18.5984 3.04905i 0.241537 0.0395980i
\(78\) −113.661 9.52712i −1.45719 0.122143i
\(79\) −89.8530 + 54.0627i −1.13738 + 0.684338i −0.954327 0.298765i \(-0.903425\pi\)
−0.183052 + 0.983103i \(0.558598\pi\)
\(80\) −16.3064 + 149.935i −0.203830 + 1.87419i
\(81\) −78.9371 18.1639i −0.974533 0.224246i
\(82\) 8.57746 52.3202i 0.104603 0.638051i
\(83\) 7.51238 0.407310i 0.0905106 0.00490734i −0.00882797 0.999961i \(-0.502810\pi\)
0.0993386 + 0.995054i \(0.468327\pi\)
\(84\) −29.8750 + 16.7970i −0.355655 + 0.199965i
\(85\) −17.8397 + 16.8986i −0.209879 + 0.198808i
\(86\) 258.501 + 14.0155i 3.00582 + 0.162971i
\(87\) 51.8053 + 29.4522i 0.595463 + 0.338531i
\(88\) 470.293 158.460i 5.34424 1.80068i
\(89\) −28.5605 84.7644i −0.320904 0.952409i −0.979766 0.200145i \(-0.935859\pi\)
0.658862 0.752264i \(-0.271038\pi\)
\(90\) 58.4685 + 62.3151i 0.649650 + 0.692390i
\(91\) −0.549738 + 10.1393i −0.00604107 + 0.111421i
\(92\) −101.984 107.664i −1.10852 1.17026i
\(93\) −34.2032 + 19.2305i −0.367776 + 0.206779i
\(94\) 8.29617 + 153.014i 0.0882571 + 1.62781i
\(95\) 75.6162 + 12.3966i 0.795960 + 0.130491i
\(96\) −303.908 + 243.101i −3.16570 + 2.53230i
\(97\) −123.387 13.4191i −1.27203 0.138341i −0.552916 0.833237i \(-0.686485\pi\)
−0.719111 + 0.694896i \(0.755451\pi\)
\(98\) −95.8030 159.226i −0.977581 1.62475i
\(99\) 61.3526 151.880i 0.619723 1.53414i
\(100\) 33.9189 + 206.896i 0.339189 + 2.06896i
\(101\) 16.3105 35.2546i 0.161490 0.349055i −0.809891 0.586580i \(-0.800474\pi\)
0.971382 + 0.237525i \(0.0763361\pi\)
\(102\) −116.668 3.43799i −1.14380 0.0337058i
\(103\) −10.6483 + 8.09463i −0.103382 + 0.0785886i −0.655588 0.755119i \(-0.727579\pi\)
0.552206 + 0.833707i \(0.313786\pi\)
\(104\) 28.9090 + 265.814i 0.277971 + 2.55590i
\(105\) 5.39190 5.36633i 0.0513515 0.0511079i
\(106\) 63.6536 + 159.759i 0.600506 + 1.50716i
\(107\) 54.4594 + 15.1206i 0.508966 + 0.141314i 0.512512 0.858680i \(-0.328715\pi\)
−0.00354608 + 0.999994i \(0.501129\pi\)
\(108\) −10.1896 + 297.708i −0.0943484 + 2.75655i
\(109\) −66.1302 124.735i −0.606699 1.14436i −0.976555 0.215266i \(-0.930938\pi\)
0.369857 0.929089i \(-0.379407\pi\)
\(110\) −143.027 + 96.9748i −1.30025 + 0.881589i
\(111\) −2.29107 17.1196i −0.0206403 0.154231i
\(112\) 41.2878 + 48.6077i 0.368641 + 0.433998i
\(113\) −153.410 61.1240i −1.35761 0.540920i −0.426111 0.904671i \(-0.640117\pi\)
−0.931496 + 0.363751i \(0.881496\pi\)
\(114\) 211.633 + 296.113i 1.85643 + 2.59748i
\(115\) 28.2043 + 16.9699i 0.245254 + 0.147565i
\(116\) 69.9760 207.681i 0.603242 1.79036i
\(117\) 72.8107 + 49.8737i 0.622313 + 0.426271i
\(118\) −210.039 90.6226i −1.77999 0.767988i
\(119\) 10.3909i 0.0873187i
\(120\) 117.249 162.415i 0.977073 1.35346i
\(121\) 180.158 + 108.397i 1.48891 + 0.895845i
\(122\) −248.052 + 326.306i −2.03321 + 2.67464i
\(123\) −25.7775 + 31.9130i −0.209573 + 0.259455i
\(124\) 93.4193 + 109.982i 0.753381 + 0.886949i
\(125\) −45.2453 97.7961i −0.361962 0.782369i
\(126\) 36.1334 + 0.171777i 0.286773 + 0.00136331i
\(127\) −30.7833 58.0634i −0.242388 0.457192i 0.732233 0.681054i \(-0.238478\pi\)
−0.974621 + 0.223862i \(0.928133\pi\)
\(128\) 362.822 + 308.183i 2.83454 + 2.40768i
\(129\) −168.521 108.281i −1.30636 0.839390i
\(130\) −34.4609 86.4904i −0.265084 0.665310i
\(131\) 36.2855 + 19.2374i 0.276989 + 0.146850i 0.601112 0.799165i \(-0.294724\pi\)
−0.324123 + 0.946015i \(0.605069\pi\)
\(132\) −591.332 114.925i −4.47979 0.870642i
\(133\) 25.7952 19.6090i 0.193949 0.147436i
\(134\) 85.1475 23.6411i 0.635429 0.176426i
\(135\) −15.4987 64.2753i −0.114805 0.476113i
\(136\) 44.2659 + 270.010i 0.325485 + 1.98537i
\(137\) −13.1664 59.8155i −0.0961050 0.436609i −0.999962 0.00877371i \(-0.997207\pi\)
0.903857 0.427836i \(-0.140724\pi\)
\(138\) 37.3720 + 151.816i 0.270812 + 1.10012i
\(139\) −132.844 14.4476i −0.955709 0.103940i −0.383045 0.923730i \(-0.625124\pi\)
−0.572664 + 0.819790i \(0.694090\pi\)
\(140\) −23.1555 15.6998i −0.165396 0.112142i
\(141\) 52.9339 106.097i 0.375418 0.752462i
\(142\) −28.9220 533.435i −0.203676 3.75659i
\(143\) −122.736 + 129.571i −0.858293 + 0.906089i
\(144\) 547.421 87.0748i 3.80153 0.604686i
\(145\) −2.63348 + 48.5716i −0.0181619 + 0.334977i
\(146\) 13.1874 59.9112i 0.0903250 0.410351i
\(147\) 3.55191 + 143.739i 0.0241626 + 0.977818i
\(148\) −60.1947 + 20.2820i −0.406721 + 0.137040i
\(149\) −19.5539 + 88.8342i −0.131234 + 0.596203i 0.864395 + 0.502813i \(0.167701\pi\)
−0.995630 + 0.0933903i \(0.970230\pi\)
\(150\) 76.7178 207.299i 0.511452 1.38200i
\(151\) −86.0606 + 81.5209i −0.569937 + 0.539873i −0.917475 0.397792i \(-0.869776\pi\)
0.347538 + 0.937666i \(0.387018\pi\)
\(152\) 586.758 619.433i 3.86025 4.07522i
\(153\) 77.1619 + 46.9278i 0.504326 + 0.306718i
\(154\) −11.8218 + 72.1096i −0.0767647 + 0.468244i
\(155\) −26.5101 17.9743i −0.171033 0.115963i
\(156\) 128.961 297.839i 0.826672 1.90922i
\(157\) 55.8571 33.6081i 0.355778 0.214064i −0.326432 0.945221i \(-0.605847\pi\)
0.682210 + 0.731156i \(0.261019\pi\)
\(158\) −87.4019 397.071i −0.553176 2.51311i
\(159\) 18.2771 131.803i 0.114950 0.828952i
\(160\) −288.310 133.386i −1.80194 0.833665i
\(161\) 13.4116 3.72372i 0.0833021 0.0231287i
\(162\) 164.463 267.547i 1.01520 1.65153i
\(163\) 2.29829 0.249954i 0.0140999 0.00153346i −0.101066 0.994880i \(-0.532225\pi\)
0.115166 + 0.993346i \(0.463260\pi\)
\(164\) 133.292 + 70.6669i 0.812756 + 0.430896i
\(165\) 133.291 10.5347i 0.807827 0.0638466i
\(166\) −7.80374 + 28.1065i −0.0470105 + 0.169317i
\(167\) −26.5808 22.5779i −0.159166 0.135197i 0.564264 0.825594i \(-0.309160\pi\)
−0.723431 + 0.690397i \(0.757436\pi\)
\(168\) −15.7646 83.2260i −0.0938372 0.495393i
\(169\) 40.8781 + 60.2907i 0.241882 + 0.356750i
\(170\) −40.0042 86.4677i −0.235319 0.508634i
\(171\) −29.1172 280.111i −0.170276 1.63808i
\(172\) −272.663 + 684.331i −1.58525 + 3.97867i
\(173\) −114.728 + 150.922i −0.663168 + 0.872382i −0.997543 0.0700578i \(-0.977682\pi\)
0.334375 + 0.942440i \(0.391475\pi\)
\(174\) −172.349 + 153.883i −0.990512 + 0.884388i
\(175\) −18.6481 6.28327i −0.106561 0.0359044i
\(176\) 1120.95i 6.36902i
\(177\) 106.627 + 141.279i 0.602413 + 0.798184i
\(178\) 346.803 1.94833
\(179\) −29.0997 + 86.3650i −0.162568 + 0.482486i −0.997717 0.0675391i \(-0.978485\pi\)
0.835148 + 0.550025i \(0.185382\pi\)
\(180\) −221.161 + 101.046i −1.22867 + 0.561367i
\(181\) 50.6831 + 38.5283i 0.280017 + 0.212864i 0.735750 0.677253i \(-0.236830\pi\)
−0.455733 + 0.890117i \(0.650623\pi\)
\(182\) −36.5737 14.5723i −0.200954 0.0800675i
\(183\) 291.635 124.632i 1.59364 0.681048i
\(184\) 332.640 153.896i 1.80783 0.836391i
\(185\) 11.6694 7.91204i 0.0630777 0.0427678i
\(186\) −28.3141 149.478i −0.152226 0.803645i
\(187\) −118.235 + 139.197i −0.632271 + 0.744367i
\(188\) −420.151 116.654i −2.23484 0.620501i
\(189\) −24.2394 13.9334i −0.128251 0.0737218i
\(190\) −139.161 + 262.485i −0.732425 + 1.38150i
\(191\) 38.0479 + 349.844i 0.199204 + 1.83165i 0.486355 + 0.873761i \(0.338326\pi\)
−0.287152 + 0.957885i \(0.592708\pi\)
\(192\) −263.759 723.248i −1.37374 3.76692i
\(193\) −37.0657 133.499i −0.192050 0.691703i −0.995367 0.0961503i \(-0.969347\pi\)
0.803317 0.595552i \(-0.203067\pi\)
\(194\) 202.057 436.739i 1.04153 2.25123i
\(195\) −9.89487 + 71.3559i −0.0507429 + 0.365928i
\(196\) 516.409 113.670i 2.63474 0.579950i
\(197\) 106.393 + 176.827i 0.540068 + 0.897600i 0.999954 + 0.00962167i \(0.00306272\pi\)
−0.459886 + 0.887978i \(0.652110\pi\)
\(198\) 482.088 + 413.451i 2.43479 + 2.08813i
\(199\) −115.000 + 169.613i −0.577891 + 0.852325i −0.998491 0.0549212i \(-0.982509\pi\)
0.420600 + 0.907246i \(0.361820\pi\)
\(200\) −511.341 83.8301i −2.55671 0.419151i
\(201\) −66.3150 16.6593i −0.329925 0.0828820i
\(202\) 109.341 + 103.574i 0.541294 + 0.512741i
\(203\) 14.1456 + 14.9333i 0.0696825 + 0.0735629i
\(204\) 115.273 311.480i 0.565064 1.52686i
\(205\) −32.7031 7.19849i −0.159527 0.0351146i
\(206\) −16.5591 49.1455i −0.0803838 0.238571i
\(207\) 32.9181 116.410i 0.159024 0.562369i
\(208\) −589.824 129.830i −2.83569 0.624184i
\(209\) 568.676 + 30.8327i 2.72094 + 0.147525i
\(210\) 13.0420 + 26.4546i 0.0621050 + 0.125975i
\(211\) −196.382 186.023i −0.930721 0.881625i 0.0624794 0.998046i \(-0.480099\pi\)
−0.993200 + 0.116421i \(0.962858\pi\)
\(212\) −488.635 + 26.4930i −2.30488 + 0.124967i
\(213\) −184.538 + 369.875i −0.866375 + 1.73650i
\(214\) −122.977 + 181.378i −0.574659 + 0.847559i
\(215\) 17.6781 162.547i 0.0822237 0.756034i
\(216\) −689.223 258.801i −3.19085 1.19815i
\(217\) −13.2273 + 2.91155i −0.0609554 + 0.0134173i
\(218\) 540.174 88.5571i 2.47786 0.406225i
\(219\) −31.7813 + 35.2562i −0.145120 + 0.160987i
\(220\) −131.548 473.792i −0.597945 2.15360i
\(221\) −59.5488 78.3352i −0.269452 0.354458i
\(222\) 65.7380 + 12.7761i 0.296117 + 0.0575500i
\(223\) −52.8601 + 99.7047i −0.237041 + 0.447106i −0.973282 0.229613i \(-0.926254\pi\)
0.736241 + 0.676719i \(0.236599\pi\)
\(224\) −124.791 + 49.7213i −0.557102 + 0.221970i
\(225\) −130.878 + 110.102i −0.581680 + 0.489342i
\(226\) 414.505 487.993i 1.83409 2.15926i
\(227\) 254.109 134.720i 1.11943 0.593482i 0.197288 0.980346i \(-0.436787\pi\)
0.922137 + 0.386864i \(0.126442\pi\)
\(228\) −990.776 + 301.640i −4.34551 + 1.32298i
\(229\) 235.340 108.880i 1.02769 0.475458i 0.167734 0.985832i \(-0.446355\pi\)
0.859952 + 0.510374i \(0.170493\pi\)
\(230\) −97.2684 + 82.6205i −0.422906 + 0.359220i
\(231\) 35.5275 43.9837i 0.153799 0.190405i
\(232\) 431.191 + 327.783i 1.85858 + 1.41286i
\(233\) 102.630 170.572i 0.440471 0.732068i −0.554505 0.832180i \(-0.687093\pi\)
0.994976 + 0.100112i \(0.0319201\pi\)
\(234\) −273.387 + 205.780i −1.16832 + 0.879403i
\(235\) 96.7837 0.411846
\(236\) 435.208 484.047i 1.84410 2.05105i
\(237\) −93.0539 + 300.513i −0.392632 + 1.26799i
\(238\) −38.1788 12.8639i −0.160415 0.0540501i
\(239\) −46.7209 + 77.6507i −0.195485 + 0.324898i −0.939060 0.343755i \(-0.888301\pi\)
0.743575 + 0.668653i \(0.233129\pi\)
\(240\) 263.087 + 368.108i 1.09620 + 1.53378i
\(241\) 45.4253 114.009i 0.188487 0.473066i −0.804116 0.594472i \(-0.797361\pi\)
0.992603 + 0.121406i \(0.0387404\pi\)
\(242\) −621.312 + 527.747i −2.56740 + 2.18077i
\(243\) −212.939 + 117.073i −0.876291 + 0.481781i
\(244\) −654.534 965.365i −2.68252 3.95641i
\(245\) −103.694 + 54.9748i −0.423239 + 0.224387i
\(246\) −85.3436 134.221i −0.346925 0.545613i
\(247\) −82.0888 + 295.657i −0.332343 + 1.19699i
\(248\) −331.311 + 132.006i −1.33593 + 0.532284i
\(249\) 15.9975 15.9216i 0.0642468 0.0639421i
\(250\) 415.340 45.1709i 1.66136 0.180684i
\(251\) 93.2640 + 122.687i 0.371570 + 0.488792i 0.943436 0.331555i \(-0.107573\pi\)
−0.571866 + 0.820347i \(0.693780\pi\)
\(252\) −33.2934 + 97.2804i −0.132117 + 0.386033i
\(253\) 222.033 + 102.723i 0.877600 + 0.406021i
\(254\) 251.448 41.2229i 0.989955 0.162295i
\(255\) −6.15750 + 73.4605i −0.0241471 + 0.288080i
\(256\) −701.985 + 422.370i −2.74213 + 1.64988i
\(257\) −1.20666 + 11.0951i −0.00469519 + 0.0431716i −0.996251 0.0865077i \(-0.972429\pi\)
0.991556 + 0.129679i \(0.0413948\pi\)
\(258\) 606.479 485.133i 2.35069 1.88036i
\(259\) 0.964522 5.88332i 0.00372402 0.0227155i
\(260\) 264.538 14.3428i 1.01745 0.0551648i
\(261\) 174.777 37.6012i 0.669645 0.144066i
\(262\) −115.604 + 109.506i −0.441237 + 0.417962i
\(263\) −90.7988 4.92297i −0.345242 0.0187185i −0.119297 0.992859i \(-0.538064\pi\)
−0.225945 + 0.974140i \(0.572547\pi\)
\(264\) 735.816 1294.27i 2.78718 4.90255i
\(265\) 102.930 34.6812i 0.388416 0.130873i
\(266\) 40.1138 + 119.054i 0.150804 + 0.447570i
\(267\) −233.276 132.622i −0.873694 0.496710i
\(268\) −13.6135 + 251.086i −0.0507966 + 0.936889i
\(269\) 338.105 + 356.934i 1.25690 + 1.32689i 0.923253 + 0.384192i \(0.125520\pi\)
0.333644 + 0.942699i \(0.391722\pi\)
\(270\) 255.350 + 22.6265i 0.945741 + 0.0838019i
\(271\) −20.4898 377.911i −0.0756080 1.39451i −0.752581 0.658499i \(-0.771192\pi\)
0.676973 0.736007i \(-0.263291\pi\)
\(272\) −609.882 99.9851i −2.24221 0.367592i
\(273\) 19.0286 + 23.7883i 0.0697020 + 0.0871365i
\(274\) 236.076 + 25.6749i 0.861593 + 0.0937039i
\(275\) −178.314 296.361i −0.648415 1.07767i
\(276\) −443.339 37.1609i −1.60630 0.134641i
\(277\) 16.0810 + 98.0897i 0.0580541 + 0.354114i 0.999840 + 0.0179005i \(0.00569821\pi\)
−0.941786 + 0.336214i \(0.890854\pi\)
\(278\) 217.544 470.213i 0.782531 1.69141i
\(279\) −38.1167 + 111.374i −0.136619 + 0.399189i
\(280\) 55.0438 41.8432i 0.196585 0.149440i
\(281\) 17.3141 + 159.200i 0.0616159 + 0.566549i 0.983733 + 0.179637i \(0.0574925\pi\)
−0.922117 + 0.386911i \(0.873542\pi\)
\(282\) 324.294 + 325.840i 1.14998 + 1.15546i
\(283\) −109.631 275.154i −0.387390 0.972274i −0.985319 0.170725i \(-0.945389\pi\)
0.597929 0.801549i \(-0.295990\pi\)
\(284\) 1464.73 + 406.679i 5.15748 + 1.43197i
\(285\) 193.984 123.344i 0.680645 0.432784i
\(286\) −324.127 611.369i −1.13331 2.13765i
\(287\) −11.7201 + 7.94642i −0.0408366 + 0.0276879i
\(288\) −194.360 + 1151.24i −0.674861 + 3.99735i
\(289\) 121.907 + 143.520i 0.421824 + 0.496609i
\(290\) −175.204 69.8075i −0.604150 0.240715i
\(291\) −302.928 + 216.503i −1.04099 + 0.743997i
\(292\) 149.573 + 89.9951i 0.512236 + 0.308202i
\(293\) 80.3423 238.448i 0.274206 0.813814i −0.718743 0.695275i \(-0.755282\pi\)
0.992949 0.118539i \(-0.0378210\pi\)
\(294\) −532.530 164.898i −1.81133 0.560878i
\(295\) −64.3343 + 129.365i −0.218082 + 0.438525i
\(296\) 156.988i 0.530365i
\(297\) −166.168 462.464i −0.559487 1.55712i
\(298\) −302.191 181.822i −1.01406 0.610141i
\(299\) −79.7676 + 104.932i −0.266781 + 0.350945i
\(300\) 489.294 + 395.223i 1.63098 + 1.31741i
\(301\) −44.7608 52.6965i −0.148707 0.175071i
\(302\) −192.985 417.130i −0.639022 1.38122i
\(303\) −33.9406 111.482i −0.112015 0.367928i
\(304\) 902.715 + 1702.70i 2.96946 + 5.60099i
\(305\) 197.307 + 167.594i 0.646909 + 0.549490i
\(306\) −267.950 + 225.415i −0.875654 + 0.736650i
\(307\) 136.219 + 341.883i 0.443709 + 1.11362i 0.965466 + 0.260531i \(0.0838975\pi\)
−0.521757 + 0.853094i \(0.674723\pi\)
\(308\) −183.708 97.3957i −0.596454 0.316220i
\(309\) −7.65541 + 39.3901i −0.0247748 + 0.127476i
\(310\) 98.8614 75.1525i 0.318908 0.242427i
\(311\) −341.257 + 94.7495i −1.09729 + 0.304661i −0.768569 0.639767i \(-0.779031\pi\)
−0.328719 + 0.944428i \(0.606617\pi\)
\(312\) 595.802 + 537.079i 1.90962 + 1.72141i
\(313\) −47.3208 288.644i −0.151185 0.922185i −0.948072 0.318057i \(-0.896970\pi\)
0.796887 0.604128i \(-0.206479\pi\)
\(314\) 54.3334 + 246.839i 0.173036 + 0.786112i
\(315\) 1.34386 22.7821i 0.00426623 0.0723242i
\(316\) 1150.14 + 125.085i 3.63969 + 0.395840i
\(317\) −352.442 238.961i −1.11180 0.753821i −0.140126 0.990134i \(-0.544751\pi\)
−0.971677 + 0.236312i \(0.924061\pi\)
\(318\) 461.650 + 230.326i 1.45173 + 0.724297i
\(319\) 19.5730 + 361.003i 0.0613574 + 1.13167i
\(320\) 432.147 456.212i 1.35046 1.42566i
\(321\) 152.081 74.9756i 0.473774 0.233569i
\(322\) −2.92170 + 53.8875i −0.00907359 + 0.167353i
\(323\) −67.4996 + 306.654i −0.208977 + 0.949392i
\(324\) 572.033 + 686.573i 1.76553 + 2.11905i
\(325\) 176.593 59.5011i 0.543363 0.183080i
\(326\) −1.92688 + 8.75389i −0.00591067 + 0.0268524i
\(327\) −397.213 147.001i −1.21472 0.449545i
\(328\) −270.697 + 256.418i −0.825295 + 0.781761i
\(329\) 28.1451 29.7124i 0.0855473 0.0903112i
\(330\) −126.307 + 502.786i −0.382749 + 1.52360i
\(331\) 38.6052 235.481i 0.116632 0.711424i −0.862171 0.506618i \(-0.830895\pi\)
0.978803 0.204806i \(-0.0656563\pi\)
\(332\) −68.7010 46.5804i −0.206931 0.140302i
\(333\) −39.3329 33.7329i −0.118117 0.101300i
\(334\) 115.864 69.7128i 0.346897 0.208721i
\(335\) −11.9980 54.5077i −0.0358151 0.162709i
\(336\) 189.515 + 26.2799i 0.564033 + 0.0782139i
\(337\) −375.369 173.664i −1.11385 0.515324i −0.225389 0.974269i \(-0.572365\pi\)
−0.888465 + 0.458945i \(0.848227\pi\)
\(338\) −272.129 + 75.5563i −0.805116 + 0.223539i
\(339\) −465.431 + 169.736i −1.37295 + 0.500697i
\(340\) 269.514 29.3114i 0.792687 0.0862099i
\(341\) −210.322 111.506i −0.616781 0.326997i
\(342\) 1065.24 + 239.793i 3.11474 + 0.701148i
\(343\) −26.8517 + 96.7110i −0.0782848 + 0.281956i
\(344\) −1387.61 1178.64i −4.03374 3.42629i
\(345\) 97.0226 18.3780i 0.281225 0.0532696i
\(346\) −412.491 608.379i −1.19217 1.75832i
\(347\) 168.243 + 363.651i 0.484850 + 1.04799i 0.983454 + 0.181156i \(0.0579839\pi\)
−0.498605 + 0.866830i \(0.666154\pi\)
\(348\) −258.365 604.567i −0.742428 1.73726i
\(349\) 133.499 335.058i 0.382520 0.960053i −0.604084 0.796920i \(-0.706461\pi\)
0.986604 0.163132i \(-0.0521597\pi\)
\(350\) 46.1725 60.7389i 0.131921 0.173540i
\(351\) 262.587 33.8713i 0.748110 0.0964995i
\(352\) −2237.46 753.887i −6.35641 2.14172i
\(353\) 156.505i 0.443356i −0.975120 0.221678i \(-0.928847\pi\)
0.975120 0.221678i \(-0.0711533\pi\)
\(354\) −651.096 + 216.872i −1.83925 + 0.612631i
\(355\) −337.407 −0.950441
\(356\) −315.098 + 935.178i −0.885107 + 2.62690i
\(357\) 20.7616 + 23.2529i 0.0581557 + 0.0651342i
\(358\) −281.300 213.839i −0.785755 0.597315i
\(359\) 179.272 + 71.4285i 0.499365 + 0.198965i 0.606201 0.795312i \(-0.292693\pi\)
−0.106836 + 0.994277i \(0.534072\pi\)
\(360\) −62.1326 597.723i −0.172591 1.66034i
\(361\) 561.005 259.549i 1.55403 0.718972i
\(362\) −204.308 + 138.524i −0.564386 + 0.382663i
\(363\) 619.742 117.391i 1.70728 0.323392i
\(364\) 72.5254 85.3835i 0.199246 0.234570i
\(365\) −37.3328 10.3654i −0.102282 0.0283984i
\(366\) 96.8837 + 1225.83i 0.264710 + 3.34927i
\(367\) 135.826 256.195i 0.370098 0.698078i −0.626595 0.779345i \(-0.715552\pi\)
0.996692 + 0.0812669i \(0.0258966\pi\)
\(368\) 89.5077 + 823.010i 0.243227 + 2.23644i
\(369\) 6.07861 + 122.920i 0.0164732 + 0.333117i
\(370\) 14.6241 + 52.6712i 0.0395245 + 0.142355i
\(371\) 19.2854 41.6848i 0.0519823 0.112358i
\(372\) 428.804 + 59.4618i 1.15270 + 0.159844i
\(373\) 487.238 107.249i 1.30627 0.287532i 0.493311 0.869853i \(-0.335787\pi\)
0.812959 + 0.582321i \(0.197855\pi\)
\(374\) −365.068 606.747i −0.976117 1.62232i
\(375\) −296.652 128.447i −0.791071 0.342525i
\(376\) 604.778 891.981i 1.60845 2.37229i
\(377\) −192.221 31.5130i −0.509870 0.0835889i
\(378\) 81.2030 71.8120i 0.214823 0.189979i
\(379\) 291.188 + 275.828i 0.768305 + 0.727777i 0.967690 0.252144i \(-0.0811357\pi\)
−0.199385 + 0.979921i \(0.563894\pi\)
\(380\) −581.371 613.746i −1.52992 1.61512i
\(381\) −184.901 68.4284i −0.485304 0.179602i
\(382\) −1332.52 293.309i −3.48826 0.767824i
\(383\) −78.3796 232.622i −0.204646 0.607369i −0.999999 0.00122218i \(-0.999611\pi\)
0.795353 0.606147i \(-0.207286\pi\)
\(384\) 1427.69 35.2793i 3.71795 0.0918733i
\(385\) 45.0726 + 9.92123i 0.117072 + 0.0257694i
\(386\) 536.393 + 29.0824i 1.38962 + 0.0753430i
\(387\) −593.468 + 94.3993i −1.53351 + 0.243926i
\(388\) 994.114 + 941.674i 2.56215 + 2.42700i
\(389\) −261.952 + 14.2026i −0.673397 + 0.0365105i −0.387667 0.921799i \(-0.626719\pi\)
−0.285730 + 0.958310i \(0.592236\pi\)
\(390\) −249.929 124.694i −0.640844 0.319729i
\(391\) −75.6941 + 111.640i −0.193591 + 0.285525i
\(392\) −141.295 + 1299.19i −0.360447 + 3.31426i
\(393\) 119.637 29.4507i 0.304421 0.0749382i
\(394\) −781.420 + 172.004i −1.98330 + 0.436557i
\(395\) −253.406 + 41.5438i −0.641535 + 0.105174i
\(396\) −1552.92 + 924.332i −3.92150 + 2.33417i
\(397\) 183.852 + 662.174i 0.463102 + 1.66794i 0.714168 + 0.699974i \(0.246805\pi\)
−0.251066 + 0.967970i \(0.580781\pi\)
\(398\) −480.828 632.518i −1.20811 1.58924i
\(399\) 18.5450 95.4214i 0.0464788 0.239151i
\(400\) 548.227 1034.07i 1.37057 2.58517i
\(401\) 176.649 70.3835i 0.440522 0.175520i −0.139323 0.990247i \(-0.544493\pi\)
0.579845 + 0.814727i \(0.303113\pi\)
\(402\) 143.308 223.033i 0.356487 0.554809i
\(403\) 83.0325 97.7534i 0.206036 0.242564i
\(404\) −378.640 + 200.742i −0.937227 + 0.496886i
\(405\) −163.108 112.869i −0.402737 0.278688i
\(406\) −72.3806 + 33.4868i −0.178277 + 0.0824799i
\(407\) 79.8649 67.8379i 0.196228 0.166678i
\(408\) 638.552 + 515.786i 1.56508 + 1.26418i
\(409\) −114.853 87.3088i −0.280813 0.213469i 0.455281 0.890348i \(-0.349539\pi\)
−0.736094 + 0.676879i \(0.763332\pi\)
\(410\) 66.9353 111.247i 0.163257 0.271335i
\(411\) −148.978 107.549i −0.362477 0.261676i
\(412\) 147.570 0.358179
\(413\) 21.0061 + 57.3702i 0.0508621 + 0.138911i
\(414\) 386.968 + 265.065i 0.934704 + 0.640252i
\(415\) 17.4589 + 5.88259i 0.0420696 + 0.0141749i
\(416\) 655.830 1090.00i 1.57651 2.62019i
\(417\) −326.146 + 233.097i −0.782124 + 0.558985i
\(418\) −817.305 + 2051.28i −1.95527 + 4.90737i
\(419\) −198.098 + 168.266i −0.472786 + 0.401588i −0.851853 0.523781i \(-0.824521\pi\)
0.379067 + 0.925369i \(0.376245\pi\)
\(420\) −83.1866 + 11.1326i −0.198063 + 0.0265062i
\(421\) 166.487 + 245.550i 0.395456 + 0.583254i 0.972339 0.233573i \(-0.0750417\pi\)
−0.576883 + 0.816826i \(0.695731\pi\)
\(422\) 926.613 491.259i 2.19577 1.16412i
\(423\) −93.5313 343.190i −0.221114 0.811324i
\(424\) 323.556 1165.34i 0.763104 2.74845i
\(425\) 177.148 70.5823i 0.416819 0.166076i
\(426\) −1130.55 1135.94i −2.65388 2.66653i
\(427\) 108.829 11.8358i 0.254868 0.0277186i
\(428\) −377.363 496.413i −0.881690 1.15984i
\(429\) −15.7710 + 535.187i −0.0367622 + 1.24752i
\(430\) 575.353 + 266.187i 1.33803 + 0.619038i
\(431\) 328.245 53.8130i 0.761589 0.124856i 0.231542 0.972825i \(-0.425623\pi\)
0.530046 + 0.847969i \(0.322175\pi\)
\(432\) 1051.04 1288.63i 2.43297 2.98294i
\(433\) −180.799 + 108.783i −0.417550 + 0.251231i −0.708791 0.705418i \(-0.750759\pi\)
0.291242 + 0.956650i \(0.405932\pi\)
\(434\) 5.67762 52.2048i 0.0130821 0.120288i
\(435\) 91.1553 + 113.956i 0.209552 + 0.261968i
\(436\) −251.992 + 1537.08i −0.577962 + 3.52541i
\(437\) 419.989 22.7711i 0.961073 0.0521079i
\(438\) −90.1945 160.419i −0.205924 0.366254i
\(439\) 168.126 159.258i 0.382976 0.362774i −0.471859 0.881674i \(-0.656417\pi\)
0.854835 + 0.518900i \(0.173658\pi\)
\(440\) 1213.48 + 65.7932i 2.75792 + 0.149530i
\(441\) 295.147 + 314.564i 0.669267 + 0.713298i
\(442\) 361.543 121.818i 0.817972 0.275607i
\(443\) 46.7555 + 138.765i 0.105543 + 0.313240i 0.987393 0.158290i \(-0.0505982\pi\)
−0.881850 + 0.471531i \(0.843702\pi\)
\(444\) −94.1800 + 165.659i −0.212117 + 0.373106i
\(445\) 11.8584 218.715i 0.0266481 0.491495i
\(446\) −300.898 317.655i −0.674660 0.712230i
\(447\) 133.737 + 237.864i 0.299189 + 0.532134i
\(448\) −14.3861 265.336i −0.0321119 0.592268i
\(449\) 214.001 + 35.0837i 0.476617 + 0.0781373i 0.395302 0.918551i \(-0.370640\pi\)
0.0813145 + 0.996688i \(0.474088\pi\)
\(450\) −242.515 617.183i −0.538921 1.37152i
\(451\) −247.422 26.9087i −0.548607 0.0596646i
\(452\) 939.296 + 1561.12i 2.07809 + 3.45381i
\(453\) −29.7045 + 354.382i −0.0655727 + 0.782299i
\(454\) 180.408 + 1100.44i 0.397375 + 2.42388i
\(455\) −10.4408 + 22.5674i −0.0229468 + 0.0495986i
\(456\) 75.3957 2558.54i 0.165341 5.61084i
\(457\) −166.806 + 126.802i −0.365001 + 0.277467i −0.771558 0.636159i \(-0.780522\pi\)
0.406557 + 0.913625i \(0.366729\pi\)
\(458\) 108.701 + 999.489i 0.237338 + 2.18229i
\(459\) 266.438 49.1577i 0.580474 0.107097i
\(460\) −134.416 337.359i −0.292209 0.733388i
\(461\) −516.245 143.335i −1.11984 0.310921i −0.342195 0.939629i \(-0.611170\pi\)
−0.777642 + 0.628708i \(0.783584\pi\)
\(462\) 117.624 + 184.988i 0.254597 + 0.400407i
\(463\) 37.2314 + 70.2259i 0.0804134 + 0.151676i 0.920458 0.390842i \(-0.127816\pi\)
−0.840044 + 0.542518i \(0.817471\pi\)
\(464\) −1012.60 + 686.562i −2.18233 + 1.47966i
\(465\) −95.2383 + 12.7454i −0.204813 + 0.0274096i
\(466\) 499.667 + 588.253i 1.07225 + 1.26235i
\(467\) −249.448 99.3892i −0.534150 0.212825i 0.0874367 0.996170i \(-0.472132\pi\)
−0.621587 + 0.783345i \(0.713512\pi\)
\(468\) −306.507 924.177i −0.654930 1.97474i
\(469\) −20.2228 12.1677i −0.0431190 0.0259438i
\(470\) −119.818 + 355.607i −0.254932 + 0.756610i
\(471\) 57.8469 186.814i 0.122817 0.396632i
\(472\) 790.247 + 1401.29i 1.67425 + 2.96883i
\(473\) 1215.24i 2.56921i
\(474\) −988.956 713.936i −2.08641 1.50619i
\(475\) −509.520 306.568i −1.07267 0.645407i
\(476\) 69.3770 91.2639i 0.145750 0.191731i
\(477\) −222.449 331.470i −0.466350 0.694905i
\(478\) −227.467 267.795i −0.475873 0.560241i
\(479\) −201.782 436.145i −0.421257 0.910532i −0.995757 0.0920271i \(-0.970665\pi\)
0.574500 0.818505i \(-0.305197\pi\)
\(480\) −911.696 + 277.564i −1.89937 + 0.578259i
\(481\) 26.4451 + 49.8808i 0.0549794 + 0.103702i
\(482\) 362.660 + 308.046i 0.752406 + 0.639099i
\(483\) 22.5725 35.1301i 0.0467340 0.0727331i
\(484\) −858.596 2154.91i −1.77396 4.45230i
\(485\) −268.526 142.363i −0.553662 0.293533i
\(486\) −166.536 927.324i −0.342668 1.90807i
\(487\) 354.245 269.290i 0.727403 0.552957i −0.174625 0.984635i \(-0.555871\pi\)
0.902028 + 0.431678i \(0.142078\pi\)
\(488\) 2777.52 771.173i 5.69163 1.58027i
\(489\) 4.64371 5.15144i 0.00949634 0.0105346i
\(490\) −73.6186 449.054i −0.150242 0.916436i
\(491\) 189.766 + 862.114i 0.386488 + 1.75583i 0.621087 + 0.783742i \(0.286691\pi\)
−0.234599 + 0.972092i \(0.575378\pi\)
\(492\) 439.478 108.185i 0.893248 0.219888i
\(493\) −198.159 21.5511i −0.401946 0.0437143i
\(494\) −984.689 667.636i −1.99330 1.35149i
\(495\) 277.232 289.897i 0.560065 0.585651i
\(496\) −43.6120 804.377i −0.0879275 1.62173i
\(497\) −98.1191 + 103.583i −0.197423 + 0.208417i
\(498\) 38.6950 + 78.4894i 0.0777007 + 0.157609i
\(499\) 40.3889 744.929i 0.0809396 1.49284i −0.622797 0.782383i \(-0.714004\pi\)
0.703737 0.710461i \(-0.251513\pi\)
\(500\) −255.563 + 1161.04i −0.511126 + 2.32207i
\(501\) −104.595 + 2.58461i −0.208771 + 0.00515890i
\(502\) −566.241 + 190.789i −1.12797 + 0.380057i
\(503\) 127.612 579.748i 0.253702 1.15258i −0.661614 0.749845i \(-0.730128\pi\)
0.915316 0.402736i \(-0.131941\pi\)
\(504\) −201.568 154.745i −0.399936 0.307035i
\(505\) 69.0588 65.4160i 0.136750 0.129537i
\(506\) −652.306 + 688.631i −1.28914 + 1.36093i
\(507\) 211.941 + 53.2427i 0.418030 + 0.105015i
\(508\) −117.301 + 715.503i −0.230907 + 1.40847i
\(509\) 550.208 + 373.050i 1.08096 + 0.732908i 0.965500 0.260404i \(-0.0838559\pi\)
0.115459 + 0.993312i \(0.463166\pi\)
\(510\) −262.289 113.568i −0.514291 0.222682i
\(511\) −14.0387 + 8.44679i −0.0274729 + 0.0165299i
\(512\) −273.495 1242.50i −0.534171 2.42676i
\(513\) −624.835 568.658i −1.21800 1.10850i
\(514\) −39.2722 18.1692i −0.0764050 0.0353487i
\(515\) −31.5605 + 8.76272i −0.0612824 + 0.0170150i
\(516\) 757.161 + 2076.20i 1.46737 + 4.02364i
\(517\) 715.117 77.7737i 1.38320 0.150433i
\(518\) 20.4227 + 10.8274i 0.0394260 + 0.0209023i
\(519\) 44.8103 + 566.967i 0.0863397 + 1.09242i
\(520\) −175.167 + 630.896i −0.336860 + 1.21326i
\(521\) −455.888 387.234i −0.875024 0.743252i 0.0925850 0.995705i \(-0.470487\pi\)
−0.967609 + 0.252452i \(0.918763\pi\)
\(522\) −78.2179 + 688.724i −0.149843 + 1.31940i
\(523\) −478.584 705.859i −0.915075 1.34963i −0.936798 0.349871i \(-0.886226\pi\)
0.0217230 0.999764i \(-0.493085\pi\)
\(524\) −190.255 411.230i −0.363082 0.784790i
\(525\) −54.2852 + 23.1990i −0.103400 + 0.0441886i
\(526\) 130.497 327.522i 0.248092 0.622665i
\(527\) 79.4280 104.486i 0.150717 0.198265i
\(528\) 2239.71 + 2508.47i 4.24187 + 4.75089i
\(529\) −330.088 111.219i −0.623984 0.210245i
\(530\) 421.126i 0.794577i
\(531\) 520.893 + 103.108i 0.980966 + 0.194178i
\(532\) −357.483 −0.671961
\(533\) 42.8158 127.073i 0.0803298 0.238410i
\(534\) 776.078 692.929i 1.45333 1.29762i
\(535\) 110.183 + 83.7589i 0.205950 + 0.156559i
\(536\) −577.328 230.029i −1.07710 0.429158i
\(537\) 107.442 + 251.411i 0.200078 + 0.468177i
\(538\) −1730.03 + 800.398i −3.21567 + 1.48773i
\(539\) −721.996 + 489.525i −1.33951 + 0.908210i
\(540\) −293.020 + 668.012i −0.542630 + 1.23706i
\(541\) −66.7491 + 78.5831i −0.123381 + 0.145255i −0.820384 0.571813i \(-0.806240\pi\)
0.697003 + 0.717068i \(0.254516\pi\)
\(542\) 1413.90 + 392.568i 2.60868 + 0.724296i
\(543\) 190.401 15.0483i 0.350646 0.0277133i
\(544\) 609.747 1150.11i 1.12086 2.11417i
\(545\) −37.3792 343.696i −0.0685856 0.630634i
\(546\) −110.961 + 40.4660i −0.203226 + 0.0741136i
\(547\) 20.3216 + 73.1918i 0.0371510 + 0.133806i 0.979800 0.199980i \(-0.0640876\pi\)
−0.942649 + 0.333786i \(0.891674\pi\)
\(548\) −283.729 + 613.269i −0.517753 + 1.11910i
\(549\) 403.604 861.604i 0.735162 1.56941i
\(550\) 1309.65 288.276i 2.38119 0.524139i
\(551\) 320.452 + 532.596i 0.581583 + 0.966598i
\(552\) 436.895 1009.02i 0.791476 1.82794i
\(553\) −60.9376 + 89.8762i −0.110195 + 0.162525i
\(554\) −380.313 62.3492i −0.686486 0.112544i
\(555\) 10.3052 41.0216i 0.0185680 0.0739129i
\(556\) 1070.31 + 1013.85i 1.92501 + 1.82347i
\(557\) 249.247 + 263.127i 0.447482 + 0.472401i 0.910238 0.414085i \(-0.135898\pi\)
−0.462757 + 0.886485i \(0.653140\pi\)
\(558\) −362.026 277.930i −0.648792 0.498083i
\(559\) 639.439 + 140.751i 1.14390 + 0.251791i
\(560\) 49.8668 + 147.999i 0.0890479 + 0.264285i
\(561\) 13.5349 + 547.734i 0.0241264 + 0.976353i
\(562\) −606.374 133.473i −1.07896 0.237497i
\(563\) −889.945 48.2514i −1.58072 0.0857041i −0.757273 0.653098i \(-0.773469\pi\)
−0.823446 + 0.567394i \(0.807952\pi\)
\(564\) −1173.30 + 578.432i −2.08032 + 1.02559i
\(565\) −293.585 278.099i −0.519620 0.492210i
\(566\) 1146.70 62.1725i 2.02598 0.109845i
\(567\) −82.0829 + 17.2513i −0.144767 + 0.0304255i
\(568\) −2108.37 + 3109.62i −3.71192 + 5.47468i
\(569\) 72.0124 662.143i 0.126560 1.16370i −0.742799 0.669514i \(-0.766502\pi\)
0.869359 0.494181i \(-0.164532\pi\)
\(570\) 213.043 + 865.442i 0.373759 + 1.51832i
\(571\) 160.349 35.2955i 0.280822 0.0618135i −0.0723263 0.997381i \(-0.523042\pi\)
0.353148 + 0.935568i \(0.385111\pi\)
\(572\) 1943.10 318.555i 3.39702 0.556914i
\(573\) 784.150 + 706.864i 1.36850 + 1.23362i
\(574\) −14.6876 52.9001i −0.0255882 0.0921605i
\(575\) −154.584 203.352i −0.268842 0.353656i
\(576\) −2035.33 1091.49i −3.53356 1.89495i
\(577\) −215.091 + 405.705i −0.372775 + 0.703128i −0.996941 0.0781640i \(-0.975094\pi\)
0.624166 + 0.781292i \(0.285439\pi\)
\(578\) −678.248 + 270.239i −1.17344 + 0.467541i
\(579\) −349.683 224.685i −0.603943 0.388058i
\(580\) 347.428 409.023i 0.599013 0.705213i
\(581\) 6.88305 3.64916i 0.0118469 0.00628083i
\(582\) −420.461 1381.06i −0.722442 2.37295i
\(583\) 732.663 338.966i 1.25671 0.581417i
\(584\) −328.814 + 279.297i −0.563037 + 0.478248i
\(585\) 120.430 + 179.452i 0.205863 + 0.306755i
\(586\) 776.650 + 590.394i 1.32534 + 1.00750i
\(587\) 169.998 282.538i 0.289604 0.481326i −0.677564 0.735464i \(-0.736964\pi\)
0.967168 + 0.254138i \(0.0817918\pi\)
\(588\) 928.506 1286.18i 1.57909 2.18738i
\(589\) −409.274 −0.694862
\(590\) −395.672 396.533i −0.670630 0.672089i
\(591\) 591.398 + 183.126i 1.00067 + 0.309859i
\(592\) 336.033 + 113.223i 0.567624 + 0.191255i
\(593\) −116.190 + 193.110i −0.195936 + 0.325649i −0.939213 0.343336i \(-0.888443\pi\)
0.743276 + 0.668984i \(0.233271\pi\)
\(594\) 1904.92 38.0116i 3.20693 0.0639925i
\(595\) −9.41826 + 23.6380i −0.0158290 + 0.0397278i
\(596\) 764.861 649.679i 1.28332 1.09007i
\(597\) 81.5458 + 609.337i 0.136593 + 1.02067i
\(598\) −286.795 422.991i −0.479591 0.707343i
\(599\) 310.254 164.486i 0.517953 0.274601i −0.188857 0.982005i \(-0.560478\pi\)
0.706810 + 0.707403i \(0.250133\pi\)
\(600\) −1311.78 + 834.089i −2.18630 + 1.39015i
\(601\) −90.6997 + 326.671i −0.150915 + 0.543545i 0.848971 + 0.528439i \(0.177222\pi\)
−0.999886 + 0.0151064i \(0.995191\pi\)
\(602\) 249.033 99.2239i 0.413677 0.164824i
\(603\) −181.686 + 95.2204i −0.301304 + 0.157911i
\(604\) 1300.16 141.401i 2.15259 0.234108i
\(605\) 311.585 + 409.884i 0.515017 + 0.677493i
\(606\) 451.631 + 13.3087i 0.745266 + 0.0219616i
\(607\) 10.1380 + 4.69035i 0.0167018 + 0.00772709i 0.428222 0.903673i \(-0.359140\pi\)
−0.411520 + 0.911401i \(0.635002\pi\)
\(608\) −4005.78 + 656.714i −6.58845 + 1.08012i
\(609\) 61.4925 + 5.15433i 0.100973 + 0.00846360i
\(610\) −860.048 + 517.474i −1.40991 + 0.848317i
\(611\) −41.9029 + 385.291i −0.0685809 + 0.630591i
\(612\) −364.393 927.354i −0.595413 1.51528i
\(613\) −117.606 + 717.367i −0.191854 + 1.17026i 0.698713 + 0.715402i \(0.253757\pi\)
−0.890566 + 0.454853i \(0.849692\pi\)
\(614\) −1424.80 + 77.2503i −2.32052 + 0.125815i
\(615\) −87.5663 + 49.2335i −0.142384 + 0.0800545i
\(616\) 373.084 353.404i 0.605656 0.573708i
\(617\) −237.925 12.8999i −0.385617 0.0209075i −0.139688 0.990196i \(-0.544610\pi\)
−0.245928 + 0.969288i \(0.579093\pi\)
\(618\) −135.251 76.8926i −0.218853 0.124422i
\(619\) 174.155 58.6797i 0.281349 0.0947976i −0.175089 0.984553i \(-0.556021\pi\)
0.456439 + 0.889755i \(0.349125\pi\)
\(620\) 112.831 + 334.869i 0.181985 + 0.540111i
\(621\) −158.929 326.277i −0.255925 0.525405i
\(622\) 74.3421 1371.16i 0.119521 2.20443i
\(623\) −63.6966 67.2437i −0.102242 0.107935i
\(624\) −1579.32 + 887.963i −2.53097 + 1.42302i
\(625\) 11.4349 + 210.905i 0.0182959 + 0.337447i
\(626\) 1119.13 + 183.472i 1.78775 + 0.293086i
\(627\) 1334.19 1067.24i 2.12790 1.70214i
\(628\) −714.986 77.7594i −1.13851 0.123821i
\(629\) 29.7854 + 49.5037i 0.0473535 + 0.0787022i
\(630\) 82.0433 + 33.1419i 0.130227 + 0.0526061i
\(631\) 116.050 + 707.877i 0.183915 + 1.12183i 0.903868 + 0.427810i \(0.140715\pi\)
−0.719953 + 0.694022i \(0.755837\pi\)
\(632\) −1200.60 + 2595.05i −1.89968 + 4.10609i
\(633\) −811.149 23.9031i −1.28144 0.0377616i
\(634\) 1314.32 999.122i 2.07306 1.57590i
\(635\) −17.3998 159.989i −0.0274013 0.251951i
\(636\) −1040.54 + 1035.60i −1.63607 + 1.62831i
\(637\) −173.957 436.600i −0.273089 0.685401i
\(638\) −1350.64 375.004i −2.11699 0.587781i
\(639\) 326.068 + 1196.43i 0.510278 + 1.87234i
\(640\) 546.038 + 1029.94i 0.853184 + 1.60928i
\(641\) 757.522 513.613i 1.18178 0.801268i 0.197924 0.980217i \(-0.436580\pi\)
0.983858 + 0.178949i \(0.0572698\pi\)
\(642\) 87.2021 + 651.603i 0.135829 + 1.01496i
\(643\) −341.127 401.606i −0.530524 0.624581i 0.429983 0.902837i \(-0.358520\pi\)
−0.960507 + 0.278256i \(0.910244\pi\)
\(644\) −142.657 56.8397i −0.221517 0.0882605i
\(645\) −285.218 399.072i −0.442198 0.618716i
\(646\) −1043.15 627.645i −1.61479 0.971587i
\(647\) −260.638 + 773.547i −0.402841 + 1.19559i 0.533894 + 0.845552i \(0.320728\pi\)
−0.936735 + 0.350039i \(0.886168\pi\)
\(648\) −2059.45 + 797.955i −3.17816 + 1.23141i
\(649\) −371.399 + 1007.55i −0.572263 + 1.55247i
\(650\) 722.507i 1.11155i
\(651\) −23.7828 + 32.9443i −0.0365327 + 0.0506058i
\(652\) −21.8548 13.1496i −0.0335196 0.0201681i
\(653\) 164.806 216.799i 0.252383 0.332004i −0.652402 0.757873i \(-0.726239\pi\)
0.904785 + 0.425869i \(0.140032\pi\)
\(654\) 1031.87 1277.47i 1.57778 1.95332i
\(655\) 65.1084 + 76.6515i 0.0994022 + 0.117025i
\(656\) −353.630 764.360i −0.539071 1.16518i
\(657\) −0.676951 + 142.397i −0.00103037 + 0.216739i
\(658\) 74.3270 + 140.196i 0.112959 + 0.213063i
\(659\) −378.750 321.713i −0.574735 0.488184i 0.312239 0.950003i \(-0.398921\pi\)
−0.886974 + 0.461819i \(0.847197\pi\)
\(660\) −1241.04 797.419i −1.88036 1.20821i
\(661\) −167.004 419.147i −0.252653 0.634111i 0.746871 0.664969i \(-0.231555\pi\)
−0.999524 + 0.0308581i \(0.990176\pi\)
\(662\) 817.422 + 433.370i 1.23478 + 0.654637i
\(663\) −289.777 56.3177i −0.437069 0.0849438i
\(664\) 163.312 124.146i 0.245951 0.186967i
\(665\) 76.4543 21.2274i 0.114969 0.0319209i
\(666\) 172.637 102.757i 0.259214 0.154290i
\(667\) 43.1968 + 263.489i 0.0647628 + 0.395036i
\(668\) 82.7141 + 375.774i 0.123824 + 0.562536i
\(669\) 80.9241 + 328.737i 0.120963 + 0.491386i
\(670\) 215.128 + 23.3966i 0.321086 + 0.0349202i
\(671\) 1592.54 + 1079.77i 2.37339 + 1.60920i
\(672\) −179.913 + 360.605i −0.267728 + 0.536615i
\(673\) 40.4356 + 745.791i 0.0600826 + 1.10816i 0.860743 + 0.509040i \(0.170000\pi\)
−0.800660 + 0.599119i \(0.795518\pi\)
\(674\) 1102.79 1164.20i 1.63618 1.72730i
\(675\) −72.8909 + 507.888i −0.107987 + 0.752427i
\(676\) 43.5084 802.465i 0.0643616 1.18708i
\(677\) 45.1304 205.030i 0.0666624 0.302850i −0.931479 0.363796i \(-0.881481\pi\)
0.998141 + 0.0609456i \(0.0194116\pi\)
\(678\) −47.4505 1920.24i −0.0699860 2.83221i
\(679\) −121.794 + 41.0370i −0.179372 + 0.0604374i
\(680\) −144.036 + 654.361i −0.211817 + 0.962296i
\(681\) 299.471 809.202i 0.439752 1.18826i
\(682\) 670.077 634.731i 0.982518 0.930691i
\(683\) 591.276 624.202i 0.865704 0.913912i −0.131294 0.991343i \(-0.541913\pi\)
0.996998 + 0.0774314i \(0.0246719\pi\)
\(684\) −1614.48 + 2654.63i −2.36035 + 3.88104i
\(685\) 24.2645 148.007i 0.0354226 0.216068i
\(686\) −322.097 218.387i −0.469529 0.318349i
\(687\) 309.099 713.874i 0.449926 1.03912i
\(688\) 3523.66 2120.12i 5.12160 3.08156i
\(689\) 93.5001 + 424.775i 0.135704 + 0.616510i
\(690\) −52.5884 + 379.236i −0.0762150 + 0.549618i
\(691\) −946.578 437.933i −1.36987 0.633768i −0.409449 0.912333i \(-0.634279\pi\)
−0.960417 + 0.278565i \(0.910141\pi\)
\(692\) 2015.32 559.551i 2.91231 0.808600i
\(693\) −8.37776 169.413i −0.0120891 0.244463i
\(694\) −1544.42 + 167.966i −2.22540 + 0.242026i
\(695\) −289.107 153.275i −0.415981 0.220539i
\(696\) 1619.85 128.025i 2.32737 0.183944i
\(697\) 36.7097 132.216i 0.0526682 0.189694i
\(698\) 1065.81 + 905.310i 1.52695 + 1.29701i
\(699\) −111.145 586.767i −0.159006 0.839437i
\(700\) 121.835 + 179.694i 0.174051 + 0.256705i
\(701\) −262.135 566.596i −0.373945 0.808268i −0.999603 0.0281709i \(-0.991032\pi\)
0.625659 0.780097i \(-0.284830\pi\)
\(702\) −200.630 + 1006.74i −0.285798 + 1.43410i
\(703\) 66.6828 167.361i 0.0948546 0.238067i
\(704\) 2826.45 3718.13i 4.01484 5.28144i
\(705\) 216.584 193.379i 0.307211 0.274296i
\(706\) 575.035 + 193.752i 0.814498 + 0.274436i
\(707\) 40.2241i 0.0568941i
\(708\) 6.76321 1952.77i 0.00955256 2.75815i
\(709\) −19.6463 −0.0277099 −0.0138549 0.999904i \(-0.504410\pi\)
−0.0138549 + 0.999904i \(0.504410\pi\)
\(710\) 417.708 1239.71i 0.588321 1.74607i
\(711\) 392.203 + 858.417i 0.551621 + 1.20734i
\(712\) −1941.63 1475.99i −2.72701 2.07302i
\(713\) −163.324 65.0744i −0.229066 0.0912684i
\(714\) −111.140 + 47.4960i −0.155658 + 0.0665211i
\(715\) −396.651 + 183.510i −0.554756 + 0.256657i
\(716\) 832.216 564.257i 1.16231 0.788068i
\(717\) 50.5975 + 267.118i 0.0705683 + 0.372550i
\(718\) −484.383 + 570.260i −0.674628 + 0.794234i
\(719\) −119.023 33.0465i −0.165539 0.0459617i 0.183770 0.982969i \(-0.441170\pi\)
−0.349309 + 0.937008i \(0.613584\pi\)
\(720\) 1324.24 + 298.094i 1.83922 + 0.414019i
\(721\) −6.48776 + 12.2372i −0.00899828 + 0.0169726i
\(722\) 259.122 + 2382.59i 0.358895 + 3.29998i
\(723\) −126.142 345.892i −0.174471 0.478413i
\(724\) −187.910 676.791i −0.259544 0.934794i
\(725\) 158.502 342.596i 0.218623 0.472546i
\(726\) −335.914 + 2422.41i −0.462691 + 3.33665i
\(727\) 556.375 122.467i 0.765303 0.168456i 0.184869 0.982763i \(-0.440814\pi\)
0.580434 + 0.814307i \(0.302883\pi\)
\(728\) 142.744 + 237.243i 0.196077 + 0.325883i
\(729\) −242.599 + 687.449i −0.332784 + 0.943003i
\(730\) 84.3028 124.337i 0.115483 0.170325i
\(731\) 661.184 + 108.396i 0.904492 + 0.148284i
\(732\) −3393.57 852.513i −4.63602 1.16464i
\(733\) −444.415 420.972i −0.606296 0.574314i 0.321729 0.946832i \(-0.395736\pi\)
−0.928025 + 0.372518i \(0.878495\pi\)
\(734\) 773.169 + 816.225i 1.05336 + 1.11202i
\(735\) −122.204 + 330.208i −0.166264 + 0.449263i
\(736\) −1702.96 374.850i −2.31380 0.509307i
\(737\) −132.453 393.106i −0.179719 0.533386i
\(738\) −459.163 129.840i −0.622172 0.175935i
\(739\) 1098.05 + 241.700i 1.48587 + 0.327064i 0.882466 0.470375i \(-0.155881\pi\)
0.603399 + 0.797439i \(0.293812\pi\)
\(740\) −155.319 8.42114i −0.209890 0.0113799i
\(741\) 407.038 + 825.642i 0.549309 + 1.11423i
\(742\) 129.285 + 122.465i 0.174238 + 0.165047i
\(743\) 26.0938 1.41477i 0.0351195 0.00190413i −0.0365708 0.999331i \(-0.511643\pi\)
0.0716903 + 0.997427i \(0.477161\pi\)
\(744\) −477.656 + 957.381i −0.642011 + 1.28680i
\(745\) −125.001 + 184.363i −0.167787 + 0.247467i
\(746\) −209.139 + 1923.01i −0.280348 + 2.57776i
\(747\) 3.98716 67.5932i 0.00533757 0.0904863i
\(748\) 1967.83 433.152i 2.63079 0.579081i
\(749\) 57.7554 9.46852i 0.0771100 0.0126416i
\(750\) 839.198 930.953i 1.11893 1.24127i
\(751\) 201.815 + 726.874i 0.268729 + 0.967874i 0.967571 + 0.252598i \(0.0812851\pi\)
−0.698842 + 0.715276i \(0.746301\pi\)
\(752\) 1473.11 + 1937.84i 1.95892 + 2.57692i
\(753\) 453.841 + 88.2035i 0.602711 + 0.117136i
\(754\) 353.755 667.253i 0.469171 0.884951i
\(755\) −269.667 + 107.445i −0.357175 + 0.142311i
\(756\) 119.867 + 284.217i 0.158554 + 0.375948i
\(757\) 401.026 472.125i 0.529758 0.623679i −0.430569 0.902558i \(-0.641687\pi\)
0.960326 + 0.278879i \(0.0899628\pi\)
\(758\) −1373.95 + 728.420i −1.81259 + 0.960976i
\(759\) 702.114 213.757i 0.925051 0.281630i
\(760\) 1896.25 877.298i 2.49506 1.15434i
\(761\) −825.723 + 701.375i −1.08505 + 0.921649i −0.997222 0.0744865i \(-0.976268\pi\)
−0.0878273 + 0.996136i \(0.527992\pi\)
\(762\) 480.329 594.656i 0.630353 0.780388i
\(763\) −116.384 88.4726i −0.152534 0.115954i
\(764\) 2001.63 3326.73i 2.61993 4.35436i
\(765\) 132.998 + 176.694i 0.173854 + 0.230972i
\(766\) 951.744 1.24249
\(767\) −487.141 312.120i −0.635125 0.406937i
\(768\) −726.993 + 2347.79i −0.946605 + 3.05701i
\(769\) 838.173 + 282.413i 1.08995 + 0.367248i 0.806196 0.591649i \(-0.201523\pi\)
0.283756 + 0.958896i \(0.408419\pi\)
\(770\) −92.2526 + 153.325i −0.119809 + 0.199123i
\(771\) 19.4683 + 27.2397i 0.0252507 + 0.0353303i
\(772\) −565.779 + 1420.00i −0.732875 + 1.83938i
\(773\) −170.542 + 144.860i −0.220624 + 0.187400i −0.750881 0.660437i \(-0.770371\pi\)
0.530258 + 0.847837i \(0.322095\pi\)