Properties

Label 230.3.i.a.19.16
Level $230$
Weight $3$
Character 230.19
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.i (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.16
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28641 - 0.587486i) q^{2} +(-0.576935 - 1.96486i) q^{3} +(1.30972 - 1.51150i) q^{4} +(3.46776 - 3.60204i) q^{5} +(-1.89650 - 2.18868i) q^{6} +(0.457318 + 3.18071i) q^{7} +(0.796860 - 2.71386i) q^{8} +(4.04347 - 2.59858i) q^{9} +O(q^{10})\) \(q+(1.28641 - 0.587486i) q^{2} +(-0.576935 - 1.96486i) q^{3} +(1.30972 - 1.51150i) q^{4} +(3.46776 - 3.60204i) q^{5} +(-1.89650 - 2.18868i) q^{6} +(0.457318 + 3.18071i) q^{7} +(0.796860 - 2.71386i) q^{8} +(4.04347 - 2.59858i) q^{9} +(2.34483 - 6.67097i) q^{10} +(-18.0924 - 8.26254i) q^{11} +(-3.72551 - 1.70138i) q^{12} +(14.1697 + 2.03730i) q^{13} +(2.45692 + 3.82305i) q^{14} +(-9.07816 - 4.73551i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(8.56409 + 9.88349i) q^{17} +(3.67494 - 5.71832i) q^{18} +(-4.81195 - 4.16958i) q^{19} +(-0.902678 - 9.95918i) q^{20} +(5.98581 - 2.73363i) q^{21} -28.1285 q^{22} +(-22.0451 + 6.55838i) q^{23} -5.79208 q^{24} +(-0.949323 - 24.9820i) q^{25} +(19.4250 - 5.70371i) q^{26} +(-21.3673 - 18.5149i) q^{27} +(5.40660 + 3.47461i) q^{28} +(-15.7498 - 18.1762i) q^{29} +(-14.4603 - 0.758543i) q^{30} +(50.2447 + 14.7532i) q^{31} +(-3.05833 - 4.75885i) q^{32} +(-5.79657 + 40.3160i) q^{33} +(16.8234 + 7.68298i) q^{34} +(13.0429 + 9.38267i) q^{35} +(1.36807 - 9.51511i) q^{36} +(-23.8013 + 15.2962i) q^{37} +(-8.63973 - 2.53685i) q^{38} +(-4.17201 - 29.0169i) q^{39} +(-7.01209 - 12.2813i) q^{40} +(30.5899 + 19.6590i) q^{41} +(6.09426 - 7.03315i) q^{42} +(77.6196 - 22.7912i) q^{43} +(-36.1849 + 16.5251i) q^{44} +(4.66159 - 23.5759i) q^{45} +(-24.5062 + 21.3880i) q^{46} +61.7989i q^{47} +(-7.45101 + 3.40276i) q^{48} +(37.1074 - 10.8957i) q^{49} +(-15.8978 - 31.5794i) q^{50} +(14.4787 - 22.5294i) q^{51} +(21.6378 - 18.7493i) q^{52} +(10.8805 + 75.6756i) q^{53} +(-38.3645 - 11.2648i) q^{54} +(-92.5021 + 36.5171i) q^{55} +(8.99642 + 1.29349i) q^{56} +(-5.41645 + 11.8604i) q^{57} +(-30.9390 - 14.1294i) q^{58} +(-7.33465 + 51.0136i) q^{59} +(-19.0476 + 7.51943i) q^{60} +(-14.8579 + 50.6014i) q^{61} +(73.3028 - 10.5394i) q^{62} +(10.1145 + 11.6727i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(56.4757 - 43.9751i) q^{65} +(16.2283 + 55.2685i) q^{66} +(-28.2599 - 61.8806i) q^{67} +26.1555 q^{68} +(25.6049 + 39.5318i) q^{69} +(22.2908 + 4.40747i) q^{70} +(43.9109 + 96.1515i) q^{71} +(-3.83009 - 13.0441i) q^{72} +(16.7443 + 14.5090i) q^{73} +(-21.6321 + 33.6601i) q^{74} +(-48.5383 + 16.2782i) q^{75} +(-12.6046 + 1.81227i) q^{76} +(18.0068 - 61.3255i) q^{77} +(-22.4140 - 34.8768i) q^{78} +(15.8399 + 2.27744i) q^{79} +(-16.2355 - 11.6793i) q^{80} +(-6.08146 + 13.3165i) q^{81} +(50.9007 + 7.31841i) q^{82} +(-31.8536 + 20.4711i) q^{83} +(3.70787 - 12.6278i) q^{84} +(65.2989 + 3.42537i) q^{85} +(86.4615 - 74.9193i) q^{86} +(-26.6271 + 41.4326i) q^{87} +(-36.8405 + 42.5162i) q^{88} +(-41.3510 - 140.829i) q^{89} +(-7.85380 - 33.0670i) q^{90} +46.0016i q^{91} +(-18.9600 + 41.9108i) q^{92} -107.235i q^{93} +(36.3060 + 79.4990i) q^{94} +(-31.7056 + 2.87373i) q^{95} +(-7.58601 + 8.75472i) q^{96} +(-52.8735 - 33.9798i) q^{97} +(41.3343 - 35.8164i) q^{98} +(-94.6270 + 13.6053i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 48 q^{4} - 8 q^{6} + 96 q^{9} + O(q^{10}) \) \( 240 q + 48 q^{4} - 8 q^{6} + 96 q^{9} + 154 q^{15} - 96 q^{16} + 44 q^{20} + 16 q^{24} - 84 q^{25} + 32 q^{26} - 100 q^{29} - 352 q^{30} + 124 q^{31} + 28 q^{35} - 192 q^{36} + 72 q^{39} + 116 q^{41} - 148 q^{46} - 188 q^{49} + 144 q^{50} + 324 q^{54} + 796 q^{55} - 264 q^{56} + 400 q^{59} + 176 q^{60} - 616 q^{61} + 192 q^{64} + 462 q^{65} - 176 q^{66} + 120 q^{69} - 504 q^{70} + 464 q^{71} - 528 q^{74} - 934 q^{75} - 968 q^{79} - 264 q^{80} + 664 q^{81} - 352 q^{84} - 1196 q^{85} + 396 q^{86} + 376 q^{94} + 126 q^{95} - 32 q^{96} - 3300 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28641 0.587486i 0.643207 0.293743i
\(3\) −0.576935 1.96486i −0.192312 0.654953i −0.998035 0.0626608i \(-0.980041\pi\)
0.805723 0.592292i \(-0.201777\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) 3.46776 3.60204i 0.693551 0.720407i
\(6\) −1.89650 2.18868i −0.316084 0.364780i
\(7\) 0.457318 + 3.18071i 0.0653311 + 0.454388i 0.996060 + 0.0886786i \(0.0282644\pi\)
−0.930729 + 0.365709i \(0.880827\pi\)
\(8\) 0.796860 2.71386i 0.0996075 0.339232i
\(9\) 4.04347 2.59858i 0.449274 0.288731i
\(10\) 2.34483 6.67097i 0.234483 0.667097i
\(11\) −18.0924 8.26254i −1.64477 0.751140i −0.644853 0.764306i \(-0.723082\pi\)
−0.999913 + 0.0131666i \(0.995809\pi\)
\(12\) −3.72551 1.70138i −0.310459 0.141782i
\(13\) 14.1697 + 2.03730i 1.08998 + 0.156716i 0.663791 0.747918i \(-0.268947\pi\)
0.426190 + 0.904634i \(0.359856\pi\)
\(14\) 2.45692 + 3.82305i 0.175495 + 0.273075i
\(15\) −9.07816 4.73551i −0.605211 0.315701i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) 8.56409 + 9.88349i 0.503770 + 0.581382i 0.949493 0.313789i \(-0.101599\pi\)
−0.445722 + 0.895171i \(0.647053\pi\)
\(18\) 3.67494 5.71832i 0.204164 0.317685i
\(19\) −4.81195 4.16958i −0.253261 0.219452i 0.518972 0.854791i \(-0.326315\pi\)
−0.772233 + 0.635339i \(0.780860\pi\)
\(20\) −0.902678 9.95918i −0.0451339 0.497959i
\(21\) 5.98581 2.73363i 0.285039 0.130173i
\(22\) −28.1285 −1.27857
\(23\) −22.0451 + 6.55838i −0.958484 + 0.285147i
\(24\) −5.79208 −0.241337
\(25\) −0.949323 24.9820i −0.0379729 0.999279i
\(26\) 19.4250 5.70371i 0.747117 0.219373i
\(27\) −21.3673 18.5149i −0.791383 0.685737i
\(28\) 5.40660 + 3.47461i 0.193093 + 0.124093i
\(29\) −15.7498 18.1762i −0.543096 0.626766i 0.416165 0.909289i \(-0.363374\pi\)
−0.959260 + 0.282523i \(0.908829\pi\)
\(30\) −14.4603 0.758543i −0.482011 0.0252848i
\(31\) 50.2447 + 14.7532i 1.62080 + 0.475909i 0.961233 0.275738i \(-0.0889222\pi\)
0.659565 + 0.751647i \(0.270740\pi\)
\(32\) −3.05833 4.75885i −0.0955727 0.148714i
\(33\) −5.79657 + 40.3160i −0.175654 + 1.22170i
\(34\) 16.8234 + 7.68298i 0.494805 + 0.225970i
\(35\) 13.0429 + 9.38267i 0.372655 + 0.268076i
\(36\) 1.36807 9.51511i 0.0380018 0.264309i
\(37\) −23.8013 + 15.2962i −0.643279 + 0.413410i −0.821205 0.570634i \(-0.806698\pi\)
0.177926 + 0.984044i \(0.443061\pi\)
\(38\) −8.63973 2.53685i −0.227361 0.0667593i
\(39\) −4.17201 29.0169i −0.106975 0.744024i
\(40\) −7.01209 12.2813i −0.175302 0.307033i
\(41\) 30.5899 + 19.6590i 0.746096 + 0.479487i 0.857626 0.514274i \(-0.171939\pi\)
−0.111530 + 0.993761i \(0.535575\pi\)
\(42\) 6.09426 7.03315i 0.145102 0.167456i
\(43\) 77.6196 22.7912i 1.80511 0.530027i 0.806946 0.590626i \(-0.201119\pi\)
0.998162 + 0.0605984i \(0.0193009\pi\)
\(44\) −36.1849 + 16.5251i −0.822383 + 0.375570i
\(45\) 4.66159 23.5759i 0.103591 0.523910i
\(46\) −24.5062 + 21.3880i −0.532744 + 0.464956i
\(47\) 61.7989i 1.31487i 0.753511 + 0.657435i \(0.228359\pi\)
−0.753511 + 0.657435i \(0.771641\pi\)
\(48\) −7.45101 + 3.40276i −0.155229 + 0.0708909i
\(49\) 37.1074 10.8957i 0.757293 0.222361i
\(50\) −15.8978 31.5794i −0.317955 0.631589i
\(51\) 14.4787 22.5294i 0.283897 0.441752i
\(52\) 21.6378 18.7493i 0.416112 0.360563i
\(53\) 10.8805 + 75.6756i 0.205293 + 1.42784i 0.788258 + 0.615345i \(0.210983\pi\)
−0.582965 + 0.812497i \(0.698108\pi\)
\(54\) −38.3645 11.2648i −0.710453 0.208608i
\(55\) −92.5021 + 36.5171i −1.68186 + 0.663948i
\(56\) 8.99642 + 1.29349i 0.160650 + 0.0230980i
\(57\) −5.41645 + 11.8604i −0.0950255 + 0.208077i
\(58\) −30.9390 14.1294i −0.533431 0.243610i
\(59\) −7.33465 + 51.0136i −0.124316 + 0.864637i 0.828262 + 0.560342i \(0.189330\pi\)
−0.952578 + 0.304295i \(0.901579\pi\)
\(60\) −19.0476 + 7.51943i −0.317460 + 0.125324i
\(61\) −14.8579 + 50.6014i −0.243572 + 0.829531i 0.743428 + 0.668816i \(0.233198\pi\)
−0.987001 + 0.160716i \(0.948620\pi\)
\(62\) 73.3028 10.5394i 1.18230 0.169990i
\(63\) 10.1145 + 11.6727i 0.160547 + 0.185281i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) 56.4757 43.9751i 0.868856 0.676539i
\(66\) 16.2283 + 55.2685i 0.245883 + 0.837401i
\(67\) −28.2599 61.8806i −0.421790 0.923591i −0.994588 0.103895i \(-0.966870\pi\)
0.572798 0.819696i \(-0.305858\pi\)
\(68\) 26.1555 0.384639
\(69\) 25.6049 + 39.5318i 0.371085 + 0.572925i
\(70\) 22.2908 + 4.40747i 0.318439 + 0.0629639i
\(71\) 43.9109 + 96.1515i 0.618464 + 1.35425i 0.916632 + 0.399733i \(0.130897\pi\)
−0.298168 + 0.954513i \(0.596376\pi\)
\(72\) −3.83009 13.0441i −0.0531957 0.181168i
\(73\) 16.7443 + 14.5090i 0.229373 + 0.198753i 0.761963 0.647620i \(-0.224236\pi\)
−0.532590 + 0.846374i \(0.678781\pi\)
\(74\) −21.6321 + 33.6601i −0.292325 + 0.454867i
\(75\) −48.5383 + 16.2782i −0.647178 + 0.217043i
\(76\) −12.6046 + 1.81227i −0.165850 + 0.0238457i
\(77\) 18.0068 61.3255i 0.233854 0.796434i
\(78\) −22.4140 34.8768i −0.287358 0.447138i
\(79\) 15.8399 + 2.27744i 0.200505 + 0.0288283i 0.241836 0.970317i \(-0.422251\pi\)
−0.0413303 + 0.999146i \(0.513160\pi\)
\(80\) −16.2355 11.6793i −0.202944 0.145992i
\(81\) −6.08146 + 13.3165i −0.0750798 + 0.164402i
\(82\) 50.9007 + 7.31841i 0.620740 + 0.0892489i
\(83\) −31.8536 + 20.4711i −0.383779 + 0.246639i −0.718278 0.695757i \(-0.755069\pi\)
0.334499 + 0.942396i \(0.391433\pi\)
\(84\) 3.70787 12.6278i 0.0441413 0.150331i
\(85\) 65.2989 + 3.42537i 0.768222 + 0.0402985i
\(86\) 86.4615 74.9193i 1.00537 0.871155i
\(87\) −26.6271 + 41.4326i −0.306059 + 0.476237i
\(88\) −36.8405 + 42.5162i −0.418642 + 0.483138i
\(89\) −41.3510 140.829i −0.464618 1.58234i −0.775148 0.631780i \(-0.782325\pi\)
0.310530 0.950564i \(-0.399493\pi\)
\(90\) −7.85380 33.0670i −0.0872644 0.367412i
\(91\) 46.0016i 0.505512i
\(92\) −18.9600 + 41.9108i −0.206087 + 0.455553i
\(93\) 107.235i 1.15307i
\(94\) 36.3060 + 79.4990i 0.386234 + 0.845734i
\(95\) −31.7056 + 2.87373i −0.333744 + 0.0302498i
\(96\) −7.58601 + 8.75472i −0.0790209 + 0.0911950i
\(97\) −52.8735 33.9798i −0.545088 0.350307i 0.238938 0.971035i \(-0.423201\pi\)
−0.784026 + 0.620728i \(0.786837\pi\)
\(98\) 41.3343 35.8164i 0.421779 0.365474i
\(99\) −94.6270 + 13.6053i −0.955828 + 0.137427i
\(100\) −39.0036 31.2845i −0.390036 0.312845i
\(101\) 22.0902 14.1965i 0.218715 0.140560i −0.426696 0.904395i \(-0.640323\pi\)
0.645411 + 0.763836i \(0.276686\pi\)
\(102\) 5.38998 37.4881i 0.0528429 0.367531i
\(103\) 37.9925 83.1919i 0.368859 0.807689i −0.630641 0.776075i \(-0.717208\pi\)
0.999500 0.0316140i \(-0.0100647\pi\)
\(104\) 16.8202 36.8312i 0.161733 0.354146i
\(105\) 10.9107 31.0407i 0.103912 0.295625i
\(106\) 58.4552 + 90.9580i 0.551464 + 0.858095i
\(107\) −95.6935 28.0981i −0.894331 0.262599i −0.197900 0.980222i \(-0.563412\pi\)
−0.696432 + 0.717623i \(0.745230\pi\)
\(108\) −55.9705 + 8.04734i −0.518245 + 0.0745124i
\(109\) −30.6686 + 26.5745i −0.281363 + 0.243803i −0.784096 0.620639i \(-0.786873\pi\)
0.502733 + 0.864442i \(0.332328\pi\)
\(110\) −97.5427 + 101.320i −0.886752 + 0.921089i
\(111\) 43.7866 + 37.9413i 0.394474 + 0.341814i
\(112\) 12.3330 3.62130i 0.110116 0.0323331i
\(113\) 86.8569 + 190.190i 0.768645 + 1.68310i 0.729613 + 0.683860i \(0.239700\pi\)
0.0390323 + 0.999238i \(0.487572\pi\)
\(114\) 18.4394i 0.161749i
\(115\) −52.8236 + 102.150i −0.459336 + 0.888263i
\(116\) −48.1012 −0.414665
\(117\) 62.5890 28.5834i 0.534948 0.244303i
\(118\) 20.5344 + 69.9336i 0.174020 + 0.592657i
\(119\) −27.5200 + 31.7598i −0.231261 + 0.266889i
\(120\) −20.0855 + 20.8633i −0.167379 + 0.173861i
\(121\) 179.828 + 207.533i 1.48619 + 1.71515i
\(122\) 10.6142 + 73.8232i 0.0870014 + 0.605108i
\(123\) 20.9787 71.4468i 0.170558 0.580869i
\(124\) 88.1061 56.6223i 0.710533 0.456632i
\(125\) −93.2780 83.2119i −0.746224 0.665695i
\(126\) 19.8690 + 9.07385i 0.157690 + 0.0720147i
\(127\) 4.47671 + 2.04445i 0.0352497 + 0.0160980i 0.432962 0.901412i \(-0.357468\pi\)
−0.397712 + 0.917510i \(0.630196\pi\)
\(128\) −11.1986 1.61011i −0.0874887 0.0125790i
\(129\) −89.5629 139.363i −0.694286 1.08033i
\(130\) 46.8164 89.7488i 0.360126 0.690375i
\(131\) −31.2996 217.694i −0.238929 1.66178i −0.657390 0.753550i \(-0.728340\pi\)
0.418462 0.908234i \(-0.362569\pi\)
\(132\) 53.3457 + 61.5643i 0.404134 + 0.466396i
\(133\) 11.0616 17.2123i 0.0831703 0.129415i
\(134\) −72.7079 63.0018i −0.542596 0.470162i
\(135\) −140.788 + 12.7607i −1.04287 + 0.0945239i
\(136\) 33.6468 15.3660i 0.247403 0.112985i
\(137\) 71.0681 0.518745 0.259373 0.965777i \(-0.416484\pi\)
0.259373 + 0.965777i \(0.416484\pi\)
\(138\) 56.1628 + 35.8118i 0.406977 + 0.259506i
\(139\) 74.5914 0.536629 0.268314 0.963331i \(-0.413533\pi\)
0.268314 + 0.963331i \(0.413533\pi\)
\(140\) 31.2645 7.42567i 0.223318 0.0530405i
\(141\) 121.426 35.6539i 0.861179 0.252865i
\(142\) 112.975 + 97.8936i 0.795600 + 0.689391i
\(143\) −239.532 153.938i −1.67505 1.07649i
\(144\) −12.5903 14.5300i −0.0874326 0.100903i
\(145\) −120.088 6.29943i −0.828192 0.0434443i
\(146\) 30.0639 + 8.82755i 0.205917 + 0.0604627i
\(147\) −42.8170 66.6246i −0.291272 0.453229i
\(148\) −8.05294 + 56.0094i −0.0544117 + 0.378442i
\(149\) −140.140 63.9999i −0.940538 0.429529i −0.114677 0.993403i \(-0.536583\pi\)
−0.825861 + 0.563874i \(0.809311\pi\)
\(150\) −52.8772 + 49.4561i −0.352514 + 0.329708i
\(151\) −4.39611 + 30.5756i −0.0291133 + 0.202487i −0.999187 0.0403247i \(-0.987161\pi\)
0.970073 + 0.242812i \(0.0780699\pi\)
\(152\) −15.1501 + 9.73637i −0.0996716 + 0.0640551i
\(153\) 60.3116 + 17.7091i 0.394194 + 0.115746i
\(154\) −12.8636 89.4686i −0.0835302 0.580965i
\(155\) 227.378 129.823i 1.46696 0.837567i
\(156\) −49.3232 31.6981i −0.316175 0.203193i
\(157\) 6.92666 7.99379i 0.0441188 0.0509159i −0.733261 0.679947i \(-0.762003\pi\)
0.777380 + 0.629031i \(0.216548\pi\)
\(158\) 21.7147 6.37600i 0.137435 0.0403544i
\(159\) 142.415 65.0386i 0.895689 0.409048i
\(160\) −27.7471 5.48633i −0.173419 0.0342896i
\(161\) −30.9419 67.1200i −0.192186 0.416894i
\(162\) 20.7034i 0.127799i
\(163\) −206.375 + 94.2485i −1.26611 + 0.578212i −0.931361 0.364097i \(-0.881378\pi\)
−0.334746 + 0.942308i \(0.608651\pi\)
\(164\) 69.7788 20.4889i 0.425480 0.124932i
\(165\) 125.119 + 160.686i 0.758295 + 0.973852i
\(166\) −28.9505 + 45.0478i −0.174400 + 0.271372i
\(167\) −49.0354 + 42.4895i −0.293625 + 0.254428i −0.789198 0.614139i \(-0.789504\pi\)
0.495573 + 0.868566i \(0.334958\pi\)
\(168\) −2.64882 18.4229i −0.0157668 0.109660i
\(169\) 34.4768 + 10.1233i 0.204005 + 0.0599012i
\(170\) 86.0137 33.9557i 0.505963 0.199739i
\(171\) −30.2919 4.35532i −0.177146 0.0254697i
\(172\) 67.2113 147.172i 0.390763 0.855652i
\(173\) −184.256 84.1467i −1.06506 0.486397i −0.195745 0.980655i \(-0.562713\pi\)
−0.869315 + 0.494258i \(0.835440\pi\)
\(174\) −9.91243 + 68.9425i −0.0569680 + 0.396221i
\(175\) 79.0264 14.4442i 0.451579 0.0825384i
\(176\) −22.4145 + 76.3366i −0.127355 + 0.433731i
\(177\) 104.466 15.0200i 0.590204 0.0848585i
\(178\) −135.929 156.871i −0.763647 0.881296i
\(179\) 29.5857 + 19.0136i 0.165283 + 0.106221i 0.620667 0.784074i \(-0.286862\pi\)
−0.455384 + 0.890295i \(0.650498\pi\)
\(180\) −29.5296 37.9239i −0.164054 0.210688i
\(181\) −32.4570 110.538i −0.179320 0.610709i −0.999267 0.0382699i \(-0.987815\pi\)
0.819947 0.572439i \(-0.194003\pi\)
\(182\) 27.0253 + 59.1771i 0.148491 + 0.325149i
\(183\) 107.997 0.590146
\(184\) 0.231606 + 65.0534i 0.00125873 + 0.353551i
\(185\) −27.4398 + 138.777i −0.148323 + 0.750144i
\(186\) −62.9993 137.949i −0.338706 0.741662i
\(187\) −73.2826 249.578i −0.391885 1.33464i
\(188\) 93.4090 + 80.9394i 0.496857 + 0.430529i
\(189\) 49.1189 76.4306i 0.259889 0.404394i
\(190\) −39.0983 + 22.3234i −0.205781 + 0.117492i
\(191\) −85.7066 + 12.3227i −0.448726 + 0.0645170i −0.362973 0.931799i \(-0.618238\pi\)
−0.0857522 + 0.996316i \(0.527329\pi\)
\(192\) −4.61548 + 15.7189i −0.0240389 + 0.0818691i
\(193\) −116.628 181.477i −0.604291 0.940295i −0.999762 0.0218163i \(-0.993055\pi\)
0.395471 0.918478i \(-0.370581\pi\)
\(194\) −87.9799 12.6496i −0.453504 0.0652041i
\(195\) −118.988 85.5960i −0.610193 0.438954i
\(196\) 32.1315 70.3581i 0.163936 0.358970i
\(197\) −174.893 25.1457i −0.887779 0.127643i −0.316688 0.948530i \(-0.602571\pi\)
−0.571091 + 0.820886i \(0.693480\pi\)
\(198\) −113.737 + 73.0940i −0.574427 + 0.369162i
\(199\) −36.5317 + 124.416i −0.183576 + 0.625204i 0.815354 + 0.578963i \(0.196542\pi\)
−0.998930 + 0.0462410i \(0.985276\pi\)
\(200\) −68.5539 17.3308i −0.342770 0.0866540i
\(201\) −105.282 + 91.2278i −0.523793 + 0.453870i
\(202\) 20.0769 31.2403i 0.0993907 0.154655i
\(203\) 50.6107 58.4078i 0.249314 0.287723i
\(204\) −15.0900 51.3918i −0.0739705 0.251921i
\(205\) 176.891 42.0136i 0.862882 0.204944i
\(206\) 129.339i 0.627861i
\(207\) −72.0963 + 83.8045i −0.348291 + 0.404853i
\(208\) 57.2618i 0.275297i
\(209\) 52.6086 + 115.197i 0.251716 + 0.551181i
\(210\) −4.20025 46.3410i −0.0200012 0.220672i
\(211\) 164.719 190.096i 0.780660 0.900929i −0.216497 0.976283i \(-0.569463\pi\)
0.997157 + 0.0753541i \(0.0240087\pi\)
\(212\) 128.634 + 82.6681i 0.606765 + 0.389944i
\(213\) 163.590 141.752i 0.768030 0.665502i
\(214\) −139.609 + 20.0727i −0.652377 + 0.0937976i
\(215\) 187.071 358.623i 0.870099 1.66801i
\(216\) −67.2735 + 43.2341i −0.311452 + 0.200158i
\(217\) −23.9479 + 166.561i −0.110359 + 0.767562i
\(218\) −23.8404 + 52.2031i −0.109360 + 0.239464i
\(219\) 18.8478 41.2708i 0.0860628 0.188451i
\(220\) −65.9564 + 187.644i −0.299802 + 0.852928i
\(221\) 101.215 + 157.494i 0.457988 + 0.712643i
\(222\) 78.6177 + 23.0842i 0.354134 + 0.103983i
\(223\) 270.454 38.8854i 1.21280 0.174374i 0.493917 0.869509i \(-0.335565\pi\)
0.718879 + 0.695135i \(0.244655\pi\)
\(224\) 13.7379 11.9040i 0.0613300 0.0531427i
\(225\) −68.7561 98.5468i −0.305583 0.437986i
\(226\) 223.468 + 193.636i 0.988796 + 0.856797i
\(227\) −251.363 + 73.8069i −1.10733 + 0.325140i −0.783759 0.621065i \(-0.786700\pi\)
−0.323567 + 0.946205i \(0.604882\pi\)
\(228\) 10.8329 + 23.7208i 0.0475127 + 0.104038i
\(229\) 368.522i 1.60927i 0.593771 + 0.804634i \(0.297639\pi\)
−0.593771 + 0.804634i \(0.702361\pi\)
\(230\) −7.94131 + 162.441i −0.0345274 + 0.706263i
\(231\) −130.885 −0.566600
\(232\) −61.8780 + 28.2587i −0.266715 + 0.121805i
\(233\) 33.1351 + 112.848i 0.142211 + 0.484325i 0.999536 0.0304495i \(-0.00969387\pi\)
−0.857326 + 0.514774i \(0.827876\pi\)
\(234\) 63.7230 73.5402i 0.272320 0.314274i
\(235\) 222.602 + 214.304i 0.947242 + 0.911931i
\(236\) 67.5006 + 77.8999i 0.286020 + 0.330084i
\(237\) −4.66376 32.4371i −0.0196783 0.136866i
\(238\) −16.7437 + 57.0239i −0.0703518 + 0.239596i
\(239\) −193.998 + 124.675i −0.811707 + 0.521652i −0.879417 0.476053i \(-0.842067\pi\)
0.0677100 + 0.997705i \(0.478431\pi\)
\(240\) −13.5814 + 38.6388i −0.0565893 + 0.160995i
\(241\) 48.3705 + 22.0901i 0.200708 + 0.0916601i 0.513233 0.858249i \(-0.328448\pi\)
−0.312525 + 0.949909i \(0.601175\pi\)
\(242\) 353.257 + 161.327i 1.45974 + 0.666640i
\(243\) −222.194 31.9466i −0.914377 0.131468i
\(244\) 57.0243 + 88.7315i 0.233706 + 0.363654i
\(245\) 89.4326 171.446i 0.365031 0.699778i
\(246\) −14.9867 104.235i −0.0609216 0.423719i
\(247\) −59.6894 68.8853i −0.241658 0.278888i
\(248\) 80.0761 124.601i 0.322887 0.502423i
\(249\) 58.6002 + 50.7774i 0.235342 + 0.203925i
\(250\) −168.880 52.2455i −0.675519 0.208982i
\(251\) −180.001 + 82.2038i −0.717136 + 0.327505i −0.740347 0.672225i \(-0.765339\pi\)
0.0232102 + 0.999731i \(0.492611\pi\)
\(252\) 30.8905 0.122581
\(253\) 453.039 + 63.4917i 1.79067 + 0.250955i
\(254\) 6.95999 0.0274015
\(255\) −30.9428 130.279i −0.121344 0.510899i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −166.414 144.199i −0.647527 0.561085i 0.267962 0.963430i \(-0.413650\pi\)
−0.915488 + 0.402345i \(0.868195\pi\)
\(258\) −197.088 126.661i −0.763909 0.490934i
\(259\) −59.5375 68.7100i −0.229875 0.265289i
\(260\) 7.49913 142.958i 0.0288428 0.549838i
\(261\) −110.916 32.5679i −0.424965 0.124781i
\(262\) −168.156 261.656i −0.641818 0.998688i
\(263\) 17.4622 121.452i 0.0663962 0.461796i −0.929316 0.369287i \(-0.879602\pi\)
0.995712 0.0925094i \(-0.0294888\pi\)
\(264\) 104.793 + 47.8573i 0.396942 + 0.181278i
\(265\) 310.317 + 223.233i 1.17101 + 0.842388i
\(266\) 4.11790 28.6406i 0.0154808 0.107672i
\(267\) −252.851 + 162.498i −0.947009 + 0.608606i
\(268\) −130.545 38.3315i −0.487109 0.143028i
\(269\) 17.2537 + 120.002i 0.0641402 + 0.446105i 0.996432 + 0.0843982i \(0.0268968\pi\)
−0.932292 + 0.361707i \(0.882194\pi\)
\(270\) −173.615 + 99.1265i −0.643018 + 0.367135i
\(271\) 82.8606 + 53.2513i 0.305759 + 0.196499i 0.684518 0.728996i \(-0.260013\pi\)
−0.378759 + 0.925495i \(0.623649\pi\)
\(272\) 34.2564 39.5340i 0.125943 0.145345i
\(273\) 90.3866 26.5399i 0.331087 0.0972158i
\(274\) 91.4230 41.7515i 0.333660 0.152378i
\(275\) −189.239 + 459.828i −0.688141 + 1.67210i
\(276\) 93.2876 + 13.0739i 0.337998 + 0.0473692i
\(277\) 454.614i 1.64121i 0.571498 + 0.820603i \(0.306362\pi\)
−0.571498 + 0.820603i \(0.693638\pi\)
\(278\) 95.9554 43.8214i 0.345163 0.157631i
\(279\) 241.500 70.9109i 0.865592 0.254161i
\(280\) 35.8566 27.9199i 0.128059 0.0997140i
\(281\) 51.5114 80.1534i 0.183315 0.285243i −0.737418 0.675436i \(-0.763955\pi\)
0.920733 + 0.390193i \(0.127592\pi\)
\(282\) 135.258 117.202i 0.479639 0.415609i
\(283\) 67.0421 + 466.288i 0.236898 + 1.64766i 0.667128 + 0.744943i \(0.267523\pi\)
−0.430230 + 0.902719i \(0.641568\pi\)
\(284\) 202.844 + 59.5604i 0.714239 + 0.209720i
\(285\) 23.9386 + 60.6392i 0.0839949 + 0.212769i
\(286\) −398.573 57.3062i −1.39361 0.200371i
\(287\) −48.5402 + 106.288i −0.169130 + 0.370342i
\(288\) −24.7325 11.2949i −0.0858766 0.0392186i
\(289\) 16.7893 116.772i 0.0580945 0.404056i
\(290\) −158.183 + 62.4462i −0.545460 + 0.215332i
\(291\) −36.2608 + 123.493i −0.124608 + 0.424375i
\(292\) 43.8606 6.30621i 0.150208 0.0215966i
\(293\) 60.8347 + 70.2070i 0.207627 + 0.239614i 0.850006 0.526773i \(-0.176598\pi\)
−0.642379 + 0.766387i \(0.722053\pi\)
\(294\) −94.2214 60.5524i −0.320481 0.205961i
\(295\) 158.318 + 203.322i 0.536671 + 0.689228i
\(296\) 22.5453 + 76.7822i 0.0761666 + 0.259399i
\(297\) 233.607 + 511.528i 0.786555 + 1.72232i
\(298\) −217.877 −0.731132
\(299\) −325.735 + 48.0179i −1.08942 + 0.160595i
\(300\) −38.9672 + 94.6856i −0.129891 + 0.315619i
\(301\) 107.989 + 236.463i 0.358768 + 0.785591i
\(302\) 12.3075 + 41.9155i 0.0407533 + 0.138793i
\(303\) −40.6388 35.2137i −0.134121 0.116217i
\(304\) −13.7693 + 21.4255i −0.0452938 + 0.0704785i
\(305\) 130.744 + 228.992i 0.428670 + 0.750794i
\(306\) 87.9896 12.6510i 0.287548 0.0413431i
\(307\) 6.11735 20.8338i 0.0199262 0.0678625i −0.948930 0.315488i \(-0.897832\pi\)
0.968856 + 0.247625i \(0.0796501\pi\)
\(308\) −69.1095 107.536i −0.224382 0.349144i
\(309\) −185.380 26.6536i −0.599934 0.0862575i
\(310\) 216.233 300.587i 0.697527 0.969637i
\(311\) 116.643 255.412i 0.375056 0.821259i −0.624145 0.781308i \(-0.714553\pi\)
0.999202 0.0399507i \(-0.0127201\pi\)
\(312\) −82.0723 11.8002i −0.263052 0.0378212i
\(313\) −293.941 + 188.904i −0.939108 + 0.603528i −0.918142 0.396252i \(-0.870311\pi\)
−0.0209665 + 0.999780i \(0.506674\pi\)
\(314\) 4.21431 14.3526i 0.0134214 0.0457090i
\(315\) 77.1202 + 4.04548i 0.244826 + 0.0128428i
\(316\) 24.1882 20.9592i 0.0765450 0.0663267i
\(317\) 276.143 429.688i 0.871115 1.35548i −0.0628151 0.998025i \(-0.520008\pi\)
0.933930 0.357456i \(-0.116356\pi\)
\(318\) 144.995 167.333i 0.455959 0.526204i
\(319\) 134.770 + 458.985i 0.422477 + 1.43882i
\(320\) −38.9174 + 9.24331i −0.121617 + 0.0288854i
\(321\) 204.235i 0.636246i
\(322\) −79.2362 68.1661i −0.246075 0.211696i
\(323\) 83.2675i 0.257794i
\(324\) 12.1629 + 26.6331i 0.0375399 + 0.0822009i
\(325\) 37.4442 355.922i 0.115213 1.09515i
\(326\) −210.115 + 242.485i −0.644523 + 0.743820i
\(327\) 69.9089 + 44.9277i 0.213789 + 0.137394i
\(328\) 77.7275 67.3512i 0.236974 0.205339i
\(329\) −196.565 + 28.2617i −0.597461 + 0.0859019i
\(330\) 255.355 + 133.203i 0.773803 + 0.403645i
\(331\) −144.875 + 93.1055i −0.437689 + 0.281285i −0.740871 0.671647i \(-0.765587\pi\)
0.303183 + 0.952932i \(0.401951\pi\)
\(332\) −10.7774 + 74.9581i −0.0324619 + 0.225777i
\(333\) −56.4915 + 123.699i −0.169644 + 0.371469i
\(334\) −38.1179 + 83.4666i −0.114126 + 0.249900i
\(335\) −320.895 112.794i −0.957894 0.336697i
\(336\) −14.2307 22.1434i −0.0423533 0.0659030i
\(337\) −349.281 102.558i −1.03644 0.304327i −0.281115 0.959674i \(-0.590704\pi\)
−0.755328 + 0.655347i \(0.772522\pi\)
\(338\) 50.2987 7.23186i 0.148813 0.0213960i
\(339\) 323.586 280.389i 0.954531 0.827106i
\(340\) 90.7008 94.2129i 0.266767 0.277097i
\(341\) −787.151 682.070i −2.30836 2.00021i
\(342\) −41.5266 + 12.1933i −0.121423 + 0.0356530i
\(343\) 117.036 + 256.274i 0.341214 + 0.747153i
\(344\) 228.810i 0.665145i
\(345\) 231.186 + 44.8570i 0.670106 + 0.130020i
\(346\) −286.464 −0.827930
\(347\) 108.273 49.4466i 0.312026 0.142497i −0.253247 0.967402i \(-0.581498\pi\)
0.565272 + 0.824904i \(0.308771\pi\)
\(348\) 27.7512 + 94.5120i 0.0797449 + 0.271586i
\(349\) 232.662 268.506i 0.666652 0.769357i −0.317197 0.948360i \(-0.602742\pi\)
0.983849 + 0.179002i \(0.0572870\pi\)
\(350\) 93.1748 65.0081i 0.266214 0.185737i
\(351\) −265.049 305.883i −0.755126 0.871462i
\(352\) 16.0124 + 111.369i 0.0454898 + 0.316388i
\(353\) −65.8732 + 224.343i −0.186610 + 0.635534i 0.812041 + 0.583600i \(0.198357\pi\)
−0.998651 + 0.0519333i \(0.983462\pi\)
\(354\) 125.563 80.6942i 0.354697 0.227950i
\(355\) 498.613 + 175.261i 1.40454 + 0.493694i
\(356\) −267.021 121.944i −0.750058 0.342540i
\(357\) 78.2808 + 35.7497i 0.219274 + 0.100139i
\(358\) 49.2297 + 7.07816i 0.137513 + 0.0197714i
\(359\) 34.8462 + 54.2217i 0.0970645 + 0.151035i 0.886389 0.462940i \(-0.153206\pi\)
−0.789325 + 0.613976i \(0.789569\pi\)
\(360\) −60.2671 31.4376i −0.167409 0.0873267i
\(361\) −45.6062 317.198i −0.126333 0.878665i
\(362\) −106.693 123.130i −0.294732 0.340138i
\(363\) 304.024 473.071i 0.837532 1.30322i
\(364\) 69.5314 + 60.2493i 0.191020 + 0.165520i
\(365\) 110.327 9.99979i 0.302266 0.0273967i
\(366\) 138.928 63.4465i 0.379586 0.173351i
\(367\) −482.864 −1.31570 −0.657852 0.753147i \(-0.728535\pi\)
−0.657852 + 0.753147i \(0.728535\pi\)
\(368\) 38.5159 + 83.5495i 0.104663 + 0.227037i
\(369\) 174.775 0.473644
\(370\) 46.2303 + 194.645i 0.124947 + 0.526067i
\(371\) −235.727 + 69.2156i −0.635382 + 0.186565i
\(372\) −162.086 140.449i −0.435716 0.377550i
\(373\) 64.4694 + 41.4320i 0.172840 + 0.111078i 0.624201 0.781264i \(-0.285425\pi\)
−0.451360 + 0.892342i \(0.649061\pi\)
\(374\) −240.895 278.008i −0.644104 0.743336i
\(375\) −109.684 + 231.286i −0.292492 + 0.616762i
\(376\) 167.713 + 49.2451i 0.446046 + 0.130971i
\(377\) −186.140 289.639i −0.493740 0.768274i
\(378\) 18.2854 127.178i 0.0483742 0.336450i
\(379\) 93.4272 + 42.6668i 0.246510 + 0.112577i 0.534839 0.844954i \(-0.320372\pi\)
−0.288329 + 0.957531i \(0.593100\pi\)
\(380\) −37.1819 + 51.6868i −0.0978472 + 0.136018i
\(381\) 1.43428 9.97562i 0.00376451 0.0261827i
\(382\) −103.015 + 66.2035i −0.269672 + 0.173308i
\(383\) 21.3361 + 6.26486i 0.0557079 + 0.0163573i 0.309468 0.950910i \(-0.399849\pi\)
−0.253760 + 0.967267i \(0.581667\pi\)
\(384\) 3.29720 + 22.9325i 0.00858645 + 0.0597200i
\(385\) −158.453 277.523i −0.411567 0.720839i
\(386\) −256.647 164.937i −0.664889 0.427298i
\(387\) 254.628 293.856i 0.657953 0.759318i
\(388\) −120.610 + 35.4143i −0.310850 + 0.0912739i
\(389\) 652.186 297.843i 1.67657 0.765664i 0.677012 0.735972i \(-0.263274\pi\)
0.999559 0.0296924i \(-0.00945278\pi\)
\(390\) −203.354 40.2084i −0.521420 0.103098i
\(391\) −253.616 161.716i −0.648635 0.413597i
\(392\) 109.386i 0.279047i
\(393\) −409.680 + 187.094i −1.04244 + 0.476067i
\(394\) −239.757 + 70.3990i −0.608520 + 0.178678i
\(395\) 63.1324 49.1584i 0.159829 0.124452i
\(396\) −103.371 + 160.848i −0.261037 + 0.406181i
\(397\) 464.244 402.270i 1.16938 1.01327i 0.169766 0.985484i \(-0.445699\pi\)
0.999614 0.0277891i \(-0.00884669\pi\)
\(398\) 26.0975 + 181.512i 0.0655715 + 0.456060i
\(399\) −40.2015 11.8042i −0.100756 0.0295845i
\(400\) −98.3703 + 17.9799i −0.245926 + 0.0449496i
\(401\) 375.774 + 54.0281i 0.937091 + 0.134733i 0.593906 0.804534i \(-0.297585\pi\)
0.343185 + 0.939268i \(0.388494\pi\)
\(402\) −81.8418 + 179.209i −0.203587 + 0.445793i
\(403\) 681.899 + 311.413i 1.69206 + 0.772736i
\(404\) 7.47400 51.9828i 0.0185000 0.128670i
\(405\) 26.8776 + 68.0842i 0.0663645 + 0.168109i
\(406\) 30.7925 104.870i 0.0758437 0.258300i
\(407\) 557.009 80.0858i 1.36857 0.196771i
\(408\) −49.6039 57.2460i −0.121578 0.140309i
\(409\) −394.331 253.421i −0.964135 0.619612i −0.0389955 0.999239i \(-0.512416\pi\)
−0.925139 + 0.379627i \(0.876052\pi\)
\(410\) 202.872 157.968i 0.494811 0.385287i
\(411\) −41.0016 139.639i −0.0997607 0.339754i
\(412\) −75.9850 166.384i −0.184429 0.403844i
\(413\) −165.614 −0.401002
\(414\) −43.5117 + 150.163i −0.105101 + 0.362712i
\(415\) −36.7231 + 185.727i −0.0884893 + 0.447534i
\(416\) −33.6405 73.6624i −0.0808666 0.177073i
\(417\) −43.0343 146.562i −0.103200 0.351467i
\(418\) 135.353 + 117.284i 0.323811 + 0.280584i
\(419\) 25.2814 39.3386i 0.0603374 0.0938869i −0.809774 0.586742i \(-0.800410\pi\)
0.870111 + 0.492855i \(0.164047\pi\)
\(420\) −32.6279 57.1462i −0.0776856 0.136062i
\(421\) −99.9189 + 14.3662i −0.237337 + 0.0341239i −0.259957 0.965620i \(-0.583708\pi\)
0.0226199 + 0.999744i \(0.492799\pi\)
\(422\) 100.218 341.312i 0.237484 0.808797i
\(423\) 160.589 + 249.882i 0.379644 + 0.590737i
\(424\) 214.043 + 30.7747i 0.504818 + 0.0725819i
\(425\) 238.779 223.331i 0.561833 0.525484i
\(426\) 127.168 278.459i 0.298516 0.653659i
\(427\) −167.743 24.1179i −0.392842 0.0564821i
\(428\) −167.802 + 107.840i −0.392061 + 0.251962i
\(429\) −164.272 + 559.458i −0.382918 + 1.30410i
\(430\) 29.9654 571.239i 0.0696870 1.32846i
\(431\) 172.177 149.192i 0.399482 0.346153i −0.431834 0.901953i \(-0.642133\pi\)
0.831316 + 0.555800i \(0.187588\pi\)
\(432\) −61.1422 + 95.1392i −0.141533 + 0.220230i
\(433\) −85.5046 + 98.6775i −0.197470 + 0.227893i −0.845845 0.533428i \(-0.820903\pi\)
0.648375 + 0.761321i \(0.275449\pi\)
\(434\) 67.0453 + 228.335i 0.154482 + 0.526119i
\(435\) 56.9053 + 239.590i 0.130817 + 0.550781i
\(436\) 81.1607i 0.186148i
\(437\) 133.426 + 60.3603i 0.305322 + 0.138124i
\(438\) 64.1642i 0.146494i
\(439\) −177.754 389.228i −0.404907 0.886623i −0.996749 0.0805691i \(-0.974326\pi\)
0.591842 0.806054i \(-0.298401\pi\)
\(440\) 25.3910 + 280.136i 0.0577067 + 0.636674i
\(441\) 121.729 140.483i 0.276029 0.318555i
\(442\) 222.730 + 143.140i 0.503915 + 0.323846i
\(443\) 335.140 290.400i 0.756524 0.655532i −0.188670 0.982040i \(-0.560418\pi\)
0.945194 + 0.326509i \(0.105872\pi\)
\(444\) 114.697 16.4909i 0.258326 0.0371416i
\(445\) −650.665 339.411i −1.46217 0.762722i
\(446\) 325.071 208.910i 0.728858 0.468409i
\(447\) −44.8990 + 312.279i −0.100445 + 0.698611i
\(448\) 10.6792 23.3843i 0.0238376 0.0521970i
\(449\) −17.1121 + 37.4702i −0.0381115 + 0.0834525i −0.927730 0.373251i \(-0.878243\pi\)
0.889619 + 0.456704i \(0.150970\pi\)
\(450\) −146.344 86.3788i −0.325208 0.191953i
\(451\) −391.014 608.429i −0.866992 1.34907i
\(452\) 401.231 + 117.812i 0.887678 + 0.260646i
\(453\) 62.6130 9.00239i 0.138219 0.0198728i
\(454\) −279.997 + 242.618i −0.616733 + 0.534402i
\(455\) 165.699 + 159.522i 0.364175 + 0.350599i
\(456\) 27.8712 + 24.1505i 0.0611211 + 0.0529617i
\(457\) −455.702 + 133.806i −0.997159 + 0.292792i −0.739290 0.673388i \(-0.764839\pi\)
−0.257869 + 0.966180i \(0.583020\pi\)
\(458\) 216.502 + 474.072i 0.472711 + 1.03509i
\(459\) 369.747i 0.805549i
\(460\) 85.2157 + 213.631i 0.185251 + 0.464416i
\(461\) 51.5459 0.111813 0.0559066 0.998436i \(-0.482195\pi\)
0.0559066 + 0.998436i \(0.482195\pi\)
\(462\) −168.372 + 76.8928i −0.364441 + 0.166435i
\(463\) −42.9166 146.161i −0.0926925 0.315682i 0.900075 0.435735i \(-0.143512\pi\)
−0.992767 + 0.120053i \(0.961693\pi\)
\(464\) −62.9991 + 72.7049i −0.135774 + 0.156691i
\(465\) −386.266 371.866i −0.830679 0.799713i
\(466\) 108.922 + 125.702i 0.233738 + 0.269748i
\(467\) −37.7941 262.864i −0.0809295 0.562877i −0.989432 0.144998i \(-0.953683\pi\)
0.908502 0.417879i \(-0.137227\pi\)
\(468\) 38.7703 132.039i 0.0828425 0.282136i
\(469\) 183.901 118.186i 0.392112 0.251995i
\(470\) 412.259 + 144.908i 0.877146 + 0.308314i
\(471\) −19.7029 8.99801i −0.0418321 0.0191041i
\(472\) 132.599 + 60.5559i 0.280930 + 0.128296i
\(473\) −1592.64 228.987i −3.36711 0.484117i
\(474\) −25.0559 38.9877i −0.0528605 0.0822525i
\(475\) −99.5962 + 124.170i −0.209676 + 0.261411i
\(476\) 11.9614 + 83.1930i 0.0251289 + 0.174775i
\(477\) 240.644 + 277.718i 0.504495 + 0.582218i
\(478\) −176.317 + 274.354i −0.368864 + 0.573963i
\(479\) −16.1525 13.9963i −0.0337214 0.0292198i 0.637837 0.770171i \(-0.279829\pi\)
−0.671558 + 0.740952i \(0.734375\pi\)
\(480\) 5.22838 + 57.6843i 0.0108925 + 0.120176i
\(481\) −368.421 + 168.252i −0.765949 + 0.349797i
\(482\) 75.2021 0.156021
\(483\) −114.030 + 99.5204i −0.236087 + 0.206046i
\(484\) 549.211 1.13473
\(485\) −305.749 + 72.6188i −0.630410 + 0.149729i
\(486\) −304.601 + 89.4389i −0.626751 + 0.184031i
\(487\) 295.379 + 255.948i 0.606529 + 0.525560i 0.903089 0.429454i \(-0.141294\pi\)
−0.296560 + 0.955014i \(0.595840\pi\)
\(488\) 125.485 + 80.6445i 0.257142 + 0.165255i
\(489\) 304.250 + 351.123i 0.622189 + 0.718044i
\(490\) 14.3255 273.090i 0.0292356 0.557327i
\(491\) 715.557 + 210.107i 1.45735 + 0.427915i 0.911963 0.410272i \(-0.134566\pi\)
0.545383 + 0.838187i \(0.316384\pi\)
\(492\) −80.5156 125.285i −0.163650 0.254644i
\(493\) 44.7619 311.326i 0.0907949 0.631492i
\(494\) −117.254 53.5483i −0.237357 0.108397i
\(495\) −279.137 + 388.030i −0.563912 + 0.783898i
\(496\) 29.8098 207.332i 0.0601004 0.418007i
\(497\) −285.749 + 183.640i −0.574948 + 0.369497i
\(498\) 105.215 + 30.8939i 0.211275 + 0.0620360i
\(499\) 55.5483 + 386.347i 0.111319 + 0.774243i 0.966639 + 0.256142i \(0.0824515\pi\)
−0.855320 + 0.518100i \(0.826639\pi\)
\(500\) −247.943 + 32.0051i −0.495886 + 0.0640103i
\(501\) 111.776 + 71.8341i 0.223106 + 0.143381i
\(502\) −183.263 + 211.496i −0.365065 + 0.421307i
\(503\) −79.8119 + 23.4349i −0.158672 + 0.0465902i −0.360104 0.932912i \(-0.617259\pi\)
0.201432 + 0.979503i \(0.435441\pi\)
\(504\) 39.7379 18.1477i 0.0788451 0.0360074i
\(505\) 25.4671 128.800i 0.0504300 0.255049i
\(506\) 620.096 184.477i 1.22549 0.364579i
\(507\) 73.5825i 0.145133i
\(508\) 8.95342 4.08889i 0.0176248 0.00804900i
\(509\) 14.3333 4.20864i 0.0281597 0.00826845i −0.267622 0.963524i \(-0.586238\pi\)
0.295782 + 0.955255i \(0.404420\pi\)
\(510\) −116.342 149.415i −0.228122 0.292970i
\(511\) −38.4915 + 59.8939i −0.0753258 + 0.117209i
\(512\) −17.1007 + 14.8178i −0.0333997 + 0.0289410i
\(513\) 25.6192 + 178.186i 0.0499400 + 0.347340i
\(514\) −298.792 87.7334i −0.581308 0.170688i
\(515\) −167.912 425.340i −0.326042 0.825902i
\(516\) −327.949 47.1519i −0.635560 0.0913797i
\(517\) 510.616 1118.09i 0.987652 2.16266i
\(518\) −116.956 53.4120i −0.225784 0.103112i
\(519\) −59.0329 + 410.583i −0.113744 + 0.791104i
\(520\) −74.3388 188.309i −0.142959 0.362132i
\(521\) −15.7378 + 53.5980i −0.0302069 + 0.102875i −0.973217 0.229890i \(-0.926163\pi\)
0.943010 + 0.332765i \(0.107982\pi\)
\(522\) −161.817 + 23.2658i −0.309994 + 0.0445705i
\(523\) 78.6175 + 90.7294i 0.150320 + 0.173479i 0.825916 0.563794i \(-0.190659\pi\)
−0.675595 + 0.737273i \(0.736113\pi\)
\(524\) −370.038 237.809i −0.706179 0.453834i
\(525\) −73.9739 146.942i −0.140903 0.279890i
\(526\) −48.8879 166.497i −0.0929427 0.316534i
\(527\) 284.488 + 622.941i 0.539825 + 1.18205i
\(528\) 162.922 0.308565
\(529\) 442.975 289.160i 0.837383 0.546617i
\(530\) 530.342 + 104.863i 1.00065 + 0.197854i
\(531\) 102.905 + 225.331i 0.193795 + 0.424353i
\(532\) −11.5286 39.2629i −0.0216704 0.0738025i
\(533\) 393.400 + 340.883i 0.738087 + 0.639556i
\(534\) −229.806 + 357.586i −0.430349 + 0.669636i
\(535\) −433.052 + 247.254i −0.809443 + 0.462157i
\(536\) −190.454 + 27.3832i −0.355325 + 0.0510880i
\(537\) 20.2900 69.1013i 0.0377840 0.128680i
\(538\) 92.6950 + 144.236i 0.172296 + 0.268097i
\(539\) −761.388 109.471i −1.41259 0.203100i
\(540\) −165.105 + 229.514i −0.305751 + 0.425026i
\(541\) −226.777 + 496.572i −0.419181 + 0.917878i 0.575779 + 0.817605i \(0.304699\pi\)
−0.994960 + 0.100273i \(0.968029\pi\)
\(542\) 137.877 + 19.8238i 0.254386 + 0.0365752i
\(543\) −198.467 + 127.547i −0.365500 + 0.234893i
\(544\) 20.8422 70.9822i 0.0383129 0.130482i
\(545\) −10.6290 + 202.623i −0.0195027 + 0.371786i
\(546\) 100.683 87.2422i 0.184401 0.159784i
\(547\) −390.179 + 607.131i −0.713308 + 1.10993i 0.275582 + 0.961278i \(0.411129\pi\)
−0.988890 + 0.148651i \(0.952507\pi\)
\(548\) 93.0794 107.419i 0.169853 0.196021i
\(549\) 71.4142 + 243.215i 0.130081 + 0.443014i
\(550\) 26.7030 + 702.705i 0.0485509 + 1.27765i
\(551\) 153.133i 0.277918i
\(552\) 127.687 37.9866i 0.231317 0.0688164i
\(553\) 51.4238i 0.0929906i
\(554\) 267.079 + 584.822i 0.482093 + 1.05564i
\(555\) 288.507 26.1497i 0.519833 0.0471166i
\(556\) 97.6939 112.745i 0.175709 0.202778i
\(557\) −913.492 587.066i −1.64002 1.05398i −0.940738 0.339135i \(-0.889866\pi\)
−0.699285 0.714843i \(-0.746498\pi\)
\(558\) 269.010 233.099i 0.482097 0.417739i
\(559\) 1146.28 164.811i 2.05060 0.294831i
\(560\) 29.7239 56.9818i 0.0530783 0.101753i
\(561\) −448.105 + 287.980i −0.798762 + 0.513333i
\(562\) 19.1761 133.373i 0.0341211 0.237318i
\(563\) 369.275 808.600i 0.655906 1.43623i −0.230382 0.973100i \(-0.573998\pi\)
0.886288 0.463134i \(-0.153275\pi\)
\(564\) 105.144 230.232i 0.186425 0.408213i
\(565\) 986.270 + 346.671i 1.74561 + 0.613578i
\(566\) 360.182 + 560.454i 0.636363 + 0.990201i
\(567\) −45.1373 13.2535i −0.0796072 0.0233748i
\(568\) 295.932 42.5486i 0.521007 0.0749095i
\(569\) −769.315 + 666.615i −1.35205 + 1.17156i −0.383267 + 0.923638i \(0.625201\pi\)
−0.968781 + 0.247918i \(0.920254\pi\)
\(570\) 66.4195 + 63.9435i 0.116525 + 0.112182i
\(571\) −612.289 530.552i −1.07231 0.929163i −0.0746288 0.997211i \(-0.523777\pi\)
−0.997682 + 0.0680488i \(0.978323\pi\)
\(572\) −546.397 + 160.437i −0.955239 + 0.280484i
\(573\) 73.6596 + 161.292i 0.128551 + 0.281487i
\(574\) 165.247i 0.287887i
\(575\) 184.769 + 544.505i 0.321338 + 0.946965i
\(576\) −38.4518 −0.0667566
\(577\) −323.706 + 147.832i −0.561016 + 0.256207i −0.675678 0.737197i \(-0.736149\pi\)
0.114662 + 0.993405i \(0.463422\pi\)
\(578\) −47.0040 160.081i −0.0813217 0.276956i
\(579\) −289.290 + 333.858i −0.499637 + 0.576611i
\(580\) −166.803 + 173.262i −0.287592 + 0.298728i
\(581\) −79.6799 91.9555i −0.137143 0.158271i
\(582\) 25.9040 + 180.166i 0.0445085 + 0.309564i
\(583\) 428.418 1459.06i 0.734850 2.50267i
\(584\) 52.7181 33.8799i 0.0902708 0.0580135i
\(585\) 114.085 324.568i 0.195017 0.554817i
\(586\) 119.504 + 54.5757i 0.203932 + 0.0931326i
\(587\) 709.871 + 324.187i 1.20932 + 0.552278i 0.915010 0.403432i \(-0.132183\pi\)
0.294311 + 0.955710i \(0.404910\pi\)
\(588\) −156.781 22.5418i −0.266635 0.0383363i
\(589\) −180.261 280.491i −0.306045 0.476216i
\(590\) 323.111 + 168.547i 0.547646 + 0.285673i
\(591\) 51.4937 + 358.147i 0.0871298 + 0.606001i
\(592\) 74.1111 + 85.5287i 0.125188 + 0.144474i
\(593\) −280.995 + 437.236i −0.473853 + 0.737329i −0.993097 0.117297i \(-0.962577\pi\)
0.519244 + 0.854626i \(0.326214\pi\)
\(594\) 601.031 + 520.796i 1.01184 + 0.876761i
\(595\) 18.9672 + 209.264i 0.0318776 + 0.351703i
\(596\) −280.280 + 128.000i −0.470269 + 0.214765i
\(597\) 265.535 0.444783
\(598\) −390.821 + 253.136i −0.653546 + 0.423304i
\(599\) −563.889 −0.941383 −0.470692 0.882298i \(-0.655996\pi\)
−0.470692 + 0.882298i \(0.655996\pi\)
\(600\) 5.49855 + 144.698i 0.00916425 + 0.241163i
\(601\) −482.617 + 141.709i −0.803024 + 0.235789i −0.657391 0.753550i \(-0.728340\pi\)
−0.145633 + 0.989339i \(0.546522\pi\)
\(602\) 277.837 + 240.747i 0.461524 + 0.399913i
\(603\) −275.070 176.776i −0.456168 0.293162i
\(604\) 40.4573 + 46.6902i 0.0669823 + 0.0773017i
\(605\) 1371.14 + 71.9258i 2.26635 + 0.118886i
\(606\) −72.9658 21.4247i −0.120406 0.0353543i
\(607\) −348.692 542.575i −0.574451 0.893863i 0.425487 0.904964i \(-0.360103\pi\)
−0.999938 + 0.0111011i \(0.996466\pi\)
\(608\) −5.12588 + 35.6513i −0.00843072 + 0.0586370i
\(609\) −143.962 65.7453i −0.236391 0.107956i
\(610\) 302.721 + 217.768i 0.496264 + 0.356997i
\(611\) −125.903 + 875.675i −0.206061 + 1.43318i
\(612\) 105.759 67.9670i 0.172808 0.111057i
\(613\) −125.427 36.8287i −0.204612 0.0600795i 0.177820 0.984063i \(-0.443095\pi\)
−0.382432 + 0.923983i \(0.624914\pi\)
\(614\) −4.37010 30.3947i −0.00711743 0.0495028i
\(615\) −184.605 323.326i −0.300171 0.525734i
\(616\) −152.080 97.7356i −0.246882 0.158662i
\(617\) 108.173 124.839i 0.175321 0.202332i −0.661287 0.750133i \(-0.729989\pi\)
0.836609 + 0.547801i \(0.184535\pi\)
\(618\) −254.133 + 74.6203i −0.411219 + 0.120745i
\(619\) 223.792 102.202i 0.361537 0.165109i −0.226361 0.974044i \(-0.572683\pi\)
0.587898 + 0.808935i \(0.299956\pi\)
\(620\) 101.575 513.714i 0.163830 0.828570i
\(621\) 592.473 + 268.028i 0.954063 + 0.431608i
\(622\) 397.091i 0.638410i
\(623\) 429.025 195.929i 0.688643 0.314493i
\(624\) −112.511 + 33.0363i −0.180307 + 0.0529428i
\(625\) −623.198 + 47.4319i −0.997116 + 0.0758910i
\(626\) −267.151 + 415.695i −0.426759 + 0.664050i
\(627\) 195.994 169.829i 0.312589 0.270860i
\(628\) −3.01061 20.9393i −0.00479397 0.0333428i
\(629\) −355.016 104.242i −0.564414 0.165727i
\(630\) 101.585 40.1028i 0.161246 0.0636553i
\(631\) 140.745 + 20.2361i 0.223051 + 0.0320699i 0.252934 0.967484i \(-0.418604\pi\)
−0.0298832 + 0.999553i \(0.509514\pi\)
\(632\) 18.8028 41.1725i 0.0297513 0.0651463i
\(633\) −468.544 213.977i −0.740196 0.338036i
\(634\) 102.800 714.986i 0.162144 1.12774i
\(635\) 22.8883 9.03563i 0.0360446 0.0142293i
\(636\) 88.2177 300.442i 0.138707 0.472393i
\(637\) 548.000 78.7904i 0.860282 0.123690i
\(638\) 443.017 + 511.269i 0.694385 + 0.801362i
\(639\) 427.409 + 274.679i 0.668872 + 0.429858i
\(640\) −44.6335 + 34.7541i −0.0697399 + 0.0543033i
\(641\) 60.7964 + 207.053i 0.0948461 + 0.323016i 0.993225 0.116204i \(-0.0370728\pi\)
−0.898379 + 0.439221i \(0.855255\pi\)
\(642\) 119.985 + 262.731i 0.186893 + 0.409238i
\(643\) 0.549470 0.000854541 0.000427271 1.00000i \(-0.499864\pi\)
0.000427271 1.00000i \(0.499864\pi\)
\(644\) −141.977 41.1398i −0.220461 0.0638816i
\(645\) −812.571 160.667i −1.25980 0.249096i
\(646\) −48.9185 107.117i −0.0757252 0.165815i
\(647\) 7.27404 + 24.7731i 0.0112427 + 0.0382892i 0.964923 0.262532i \(-0.0845575\pi\)
−0.953681 + 0.300821i \(0.902739\pi\)
\(648\) 31.2931 + 27.1156i 0.0482918 + 0.0418451i
\(649\) 554.203 862.357i 0.853934 1.32875i
\(650\) −160.930 479.861i −0.247585 0.738248i
\(651\) 341.085 49.0407i 0.523941 0.0753313i
\(652\) −127.838 + 435.376i −0.196070 + 0.667754i
\(653\) −21.0191 32.7064i −0.0321885 0.0500863i 0.824786 0.565444i \(-0.191295\pi\)
−0.856975 + 0.515358i \(0.827659\pi\)
\(654\) 116.326 + 16.7252i 0.177869 + 0.0255737i
\(655\) −892.680 642.167i −1.36287 0.980407i
\(656\) 60.4218 132.305i 0.0921065 0.201685i
\(657\) 105.408 + 15.1553i 0.160438 + 0.0230675i
\(658\) −236.260 + 151.835i −0.359058 + 0.230753i
\(659\) 20.6353 70.2774i 0.0313131 0.106643i −0.942354 0.334618i \(-0.891393\pi\)
0.973667 + 0.227976i \(0.0732107\pi\)
\(660\) 406.747 + 21.3367i 0.616283 + 0.0323283i
\(661\) 448.188 388.357i 0.678046 0.587530i −0.246250 0.969206i \(-0.579199\pi\)
0.924296 + 0.381676i \(0.124653\pi\)
\(662\) −131.671 + 204.884i −0.198899 + 0.309493i
\(663\) 251.059 289.738i 0.378671 0.437010i
\(664\) 30.1727 + 102.759i 0.0454408 + 0.154757i
\(665\) −23.6401 99.5324i −0.0355490 0.149673i
\(666\) 192.316i 0.288763i
\(667\) 466.412 + 297.404i 0.699269 + 0.445883i
\(668\) 129.766i 0.194261i
\(669\) −232.438 508.969i −0.347441 0.760790i
\(670\) −479.068 + 43.4217i −0.715027 + 0.0648085i
\(671\) 686.912 792.739i 1.02371 1.18143i
\(672\) −31.3155 20.1252i −0.0466004 0.0299483i
\(673\) −514.100 + 445.470i −0.763892 + 0.661917i −0.947021 0.321172i \(-0.895923\pi\)
0.183128 + 0.983089i \(0.441378\pi\)
\(674\) −509.572 + 73.2654i −0.756041 + 0.108702i
\(675\) −442.254 + 551.375i −0.655191 + 0.816851i
\(676\) 60.4563 38.8529i 0.0894324 0.0574747i
\(677\) 20.8122 144.752i 0.0307418 0.213814i −0.968660 0.248389i \(-0.920099\pi\)
0.999402 + 0.0345754i \(0.0110079\pi\)
\(678\) 251.541 550.798i 0.371005 0.812387i
\(679\) 83.8999 183.715i 0.123564 0.270567i
\(680\) 61.3300 174.482i 0.0901912 0.256591i
\(681\) 290.040 + 451.311i 0.425903 + 0.662719i
\(682\) −1413.31 414.985i −2.07230 0.608482i
\(683\) 834.571 119.993i 1.22192 0.175685i 0.498990 0.866608i \(-0.333704\pi\)
0.722929 + 0.690922i \(0.242795\pi\)
\(684\) −46.2571 + 40.0820i −0.0676273 + 0.0585994i
\(685\) 246.447 255.990i 0.359776 0.373708i
\(686\) 301.114 + 260.917i 0.438942 + 0.380345i
\(687\) 724.095 212.613i 1.05400 0.309481i
\(688\) −134.423 294.344i −0.195382 0.427826i
\(689\) 1094.47i 1.58849i
\(690\) 323.754 78.1140i 0.469209 0.113209i
\(691\) 218.997 0.316928 0.158464 0.987365i \(-0.449346\pi\)
0.158464 + 0.987365i \(0.449346\pi\)
\(692\) −368.511 + 168.293i −0.532530 + 0.243198i
\(693\) −86.5492 294.759i −0.124891 0.425338i
\(694\) 110.235 127.218i 0.158840 0.183311i
\(695\) 258.665 268.681i 0.372180 0.386591i
\(696\) 91.2240 + 105.278i 0.131069 + 0.151262i
\(697\) 67.6759 + 470.697i 0.0970960 + 0.675318i
\(698\) 141.556 482.095i 0.202802 0.690680i
\(699\) 202.613 130.211i 0.289861 0.186283i
\(700\) 81.6701 138.366i 0.116672 0.197666i
\(701\) 878.638 + 401.260i 1.25341 + 0.572411i 0.927794 0.373092i \(-0.121703\pi\)
0.325612 + 0.945504i \(0.394430\pi\)
\(702\) −520.665 237.780i −0.741688 0.338718i
\(703\) 178.309 + 25.6370i 0.253641 + 0.0364680i
\(704\) 86.0261 + 133.859i 0.122196 + 0.190141i
\(705\) 292.650 561.021i 0.415106 0.795774i
\(706\) 47.0583 + 327.298i 0.0666549 + 0.463595i
\(707\) 55.2573 + 63.7703i 0.0781575 + 0.0901985i
\(708\) 114.119 177.572i 0.161185 0.250808i
\(709\) −541.039 468.813i −0.763102 0.661231i 0.183724 0.982978i \(-0.441185\pi\)
−0.946826 + 0.321746i \(0.895730\pi\)
\(710\) 744.387 67.4696i 1.04843 0.0950276i
\(711\) 69.9663 31.9525i 0.0984055 0.0449403i
\(712\) −415.139 −0.583061
\(713\) −1204.41 + 4.28799i −1.68921 + 0.00601402i
\(714\) 121.704 0.170454
\(715\) −1385.13 + 328.984i −1.93724 + 0.460117i
\(716\) 67.4881 19.8163i 0.0942571 0.0276764i
\(717\) 356.893 + 309.249i 0.497758 + 0.431310i
\(718\) 76.6811 + 49.2799i 0.106798 + 0.0686350i
\(719\) −764.855 882.690i −1.06378 1.22766i −0.972760 0.231813i \(-0.925534\pi\)
−0.0910157 0.995849i \(-0.529011\pi\)
\(720\) −95.9975 5.03573i −0.133330 0.00699407i
\(721\) 281.984 + 82.7981i 0.391102 + 0.114838i
\(722\) −245.018 381.255i −0.339360 0.528054i
\(723\) 15.4973 107.786i 0.0214347 0.149081i
\(724\) −209.588 95.7158i −0.289487 0.132204i
\(725\) −439.126 + 410.716i −0.605691 + 0.566504i
\(726\) 113.179 787.174i 0.155893 1.08426i
\(727\) 17.0437 10.9533i 0.0234439 0.0150665i −0.528866 0.848705i \(-0.677383\pi\)
0.552310 + 0.833639i \(0.313746\pi\)
\(728\) 124.842 + 36.6568i 0.171486 + 0.0503528i
\(729\) 84.1713 + 585.424i 0.115461 + 0.803051i
\(730\) 136.051 77.6793i 0.186372 0.106410i
\(731\) 889.998 + 571.967i 1.21751 + 0.782445i
\(732\) 141.446 163.237i 0.193232 0.223001i
\(733\) −1041.83 + 305.909i −1.42132 + 0.417338i −0.899951 0.435991i \(-0.856398\pi\)
−0.521373 + 0.853329i \(0.674580\pi\)
\(734\) −621.163 + 283.675i −0.846271 + 0.386479i
\(735\) −388.463 76.8095i −0.528521 0.104503i
\(736\) 98.6315 + 84.8518i 0.134010 + 0.115288i
\(737\) 1353.07i 1.83591i
\(738\) 224.833 102.678i 0.304651 0.139130i
\(739\) 335.412 98.4859i 0.453873 0.133269i −0.0468025 0.998904i \(-0.514903\pi\)
0.500676 + 0.865635i \(0.333085\pi\)
\(740\) 173.822 + 223.234i 0.234895 + 0.301667i
\(741\) −100.913 + 157.024i −0.136185 + 0.211908i
\(742\) −262.579 + 227.526i −0.353880 + 0.306639i
\(743\) −33.7897 235.012i −0.0454773 0.316302i −0.999844 0.0176643i \(-0.994377\pi\)
0.954367 0.298637i \(-0.0965321\pi\)
\(744\) −291.022 85.4516i −0.391158 0.114854i
\(745\) −716.502 + 282.854i −0.961747 + 0.379670i
\(746\) 107.275 + 15.4238i 0.143800 + 0.0206754i
\(747\) −75.6033 + 165.548i −0.101209 + 0.221617i
\(748\) −473.216 216.111i −0.632642 0.288918i
\(749\) 45.6098 317.223i 0.0608943 0.423529i
\(750\) −5.22238 + 361.967i −0.00696318 + 0.482623i
\(751\) −168.979 + 575.489i −0.225005 + 0.766296i 0.767170 + 0.641443i \(0.221664\pi\)
−0.992175 + 0.124853i \(0.960154\pi\)
\(752\) 244.680 35.1796i 0.325372 0.0467814i
\(753\) 265.368 + 306.251i 0.352414 + 0.406707i
\(754\) −409.612 263.242i −0.543252 0.349127i
\(755\) 94.8898 + 121.864i 0.125682 + 0.161409i
\(756\) −51.1926 174.346i −0.0677151 0.230616i
\(757\) 1.07299 + 2.34952i 0.00141742 + 0.00310372i 0.910339 0.413863i \(-0.135821\pi\)
−0.908922 + 0.416966i \(0.863093\pi\)
\(758\) 145.252 0.191625
\(759\) −136.622 926.788i −0.180002 1.22106i
\(760\) −17.4661 + 88.3345i −0.0229817 + 0.116230i
\(761\) −261.039 571.596i −0.343021 0.751112i 0.656975 0.753912i \(-0.271836\pi\)
−0.999996 + 0.00280086i \(0.999108\pi\)
\(762\) −4.01546 13.6754i −0.00526963 0.0179467i
\(763\) −98.5511 85.3950i −0.129163 0.111920i
\(764\) −93.6259 + 145.685i −0.122547 + 0.190687i
\(765\) 272.935 155.834i 0.356778 0.203704i
\(766\) 31.1276 4.47548i 0.0406366 0.00584266i
\(767\) −207.860 + 707.907i −0.271004 + 0.922955i
\(768\) 17.7141 + 27.5636i 0.0230652 + 0.0358901i
\(769\) 679.046 + 97.6320i 0.883024 + 0.126960i 0.568885 0.822417i \(-0.307375\pi\)
0.314139 + 0.949377i \(0.398284\pi\)
\(770\) −366.877 263.920i −0.476464 0.342753i
\(771\) −187.320 + 410.174i −0.242957 + 0.532003i
\(772\) −427.052 61.4009i −0.553177 0.0795348i
\(773\) −1026.85 + 659.916i −1.32840 + 0.853708i −0.995993 0.0894299i \(-0.971495\pi\)