Properties

Label 230.3.i.a.19.14
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 19.14
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28641 - 0.587486i) q^{2} +(-1.23261 - 4.19789i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-3.16099 + 3.87403i) q^{5} +(-4.05185 - 4.67609i) q^{6} +(-0.828200 - 5.76026i) q^{7} +(0.796860 - 2.71386i) q^{8} +(-8.53169 + 5.48298i) q^{9} +O(q^{10})\) \(q+(1.28641 - 0.587486i) q^{2} +(-1.23261 - 4.19789i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-3.16099 + 3.87403i) q^{5} +(-4.05185 - 4.67609i) q^{6} +(-0.828200 - 5.76026i) q^{7} +(0.796860 - 2.71386i) q^{8} +(-8.53169 + 5.48298i) q^{9} +(-1.79041 + 6.84065i) q^{10} +(-9.75571 - 4.45528i) q^{11} +(-7.95949 - 3.63498i) q^{12} +(-7.82709 - 1.12537i) q^{13} +(-4.44948 - 6.92352i) q^{14} +(20.1591 + 8.49433i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(-6.38126 - 7.36437i) q^{17} +(-7.75411 + 12.0656i) q^{18} +(10.2733 + 8.90189i) q^{19} +(1.71558 + 9.85174i) q^{20} +(-23.1601 + 10.5769i) q^{21} -15.1673 q^{22} +(7.56911 + 21.7189i) q^{23} -12.3747 q^{24} +(-5.01626 - 24.4916i) q^{25} +(-10.7300 + 3.15062i) q^{26} +(3.77481 + 3.27089i) q^{27} +(-9.79134 - 6.29251i) q^{28} +(-21.9342 - 25.3134i) q^{29} +(30.9232 - 0.915933i) q^{30} +(27.3144 + 8.02023i) q^{31} +(-3.05833 - 4.75885i) q^{32} +(-6.67779 + 46.4451i) q^{33} +(-12.5354 - 5.72473i) q^{34} +(24.9334 + 14.9997i) q^{35} +(-2.88661 + 20.0768i) q^{36} +(31.7003 - 20.3725i) q^{37} +(18.4455 + 5.41609i) q^{38} +(4.92360 + 34.2444i) q^{39} +(7.99470 + 11.6655i) q^{40} +(-26.8368 - 17.2470i) q^{41} +(-23.5797 + 27.2124i) q^{42} +(25.0414 - 7.35281i) q^{43} +(-19.5114 + 8.91057i) q^{44} +(5.72734 - 50.3837i) q^{45} +(22.4965 + 23.4927i) q^{46} -75.4595i q^{47} +(-15.9190 + 7.26995i) q^{48} +(14.5205 - 4.26360i) q^{49} +(-20.8414 - 28.5593i) q^{50} +(-23.0492 + 35.8653i) q^{51} +(-11.9523 + 10.3567i) q^{52} +(-4.70391 - 32.7164i) q^{53} +(6.77756 + 1.99007i) q^{54} +(48.0976 - 23.7108i) q^{55} +(-16.2925 - 2.34250i) q^{56} +(24.7062 - 54.0989i) q^{57} +(-43.0877 - 19.6775i) q^{58} +(10.5183 - 73.1563i) q^{59} +(39.2419 - 19.3452i) q^{60} +(-5.39902 + 18.3874i) q^{61} +(39.8494 - 5.72948i) q^{62} +(38.6493 + 44.6037i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(29.1011 - 26.7651i) q^{65} +(18.6954 + 63.6707i) q^{66} +(-36.6744 - 80.3057i) q^{67} -19.4889 q^{68} +(81.8436 - 58.5452i) q^{69} +(40.8867 + 4.64778i) q^{70} +(24.0951 + 52.7609i) q^{71} +(8.08146 + 27.5229i) q^{72} +(-26.6733 - 23.1125i) q^{73} +(28.8111 - 44.8310i) q^{74} +(-96.6299 + 51.2463i) q^{75} +(26.9104 - 3.86913i) q^{76} +(-17.5839 + 59.8853i) q^{77} +(26.4519 + 41.1600i) q^{78} +(154.891 + 22.2700i) q^{79} +(17.1378 + 10.3099i) q^{80} +(-28.8389 + 63.1484i) q^{81} +(-44.6556 - 6.42051i) q^{82} +(-77.0186 + 49.4968i) q^{83} +(-14.3464 + 48.8592i) q^{84} +(48.7009 - 1.44250i) q^{85} +(27.8939 - 24.1702i) q^{86} +(-79.2266 + 123.279i) q^{87} +(-19.8649 + 22.9254i) q^{88} +(38.1221 + 129.832i) q^{89} +(-22.2320 - 68.1790i) q^{90} +46.0181i q^{91} +(42.7415 + 17.0049i) q^{92} -124.549i q^{93} +(-44.3313 - 97.0721i) q^{94} +(-66.9602 + 11.6604i) q^{95} +(-16.2074 + 18.7043i) q^{96} +(25.6629 + 16.4926i) q^{97} +(16.1746 - 14.0153i) q^{98} +(107.661 - 15.4793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + O(q^{10}) \) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + 154q^{15} - 96q^{16} + 44q^{20} + 16q^{24} - 84q^{25} + 32q^{26} - 100q^{29} - 352q^{30} + 124q^{31} + 28q^{35} - 192q^{36} + 72q^{39} + 116q^{41} - 148q^{46} - 188q^{49} + 144q^{50} + 324q^{54} + 796q^{55} - 264q^{56} + 400q^{59} + 176q^{60} - 616q^{61} + 192q^{64} + 462q^{65} - 176q^{66} + 120q^{69} - 504q^{70} + 464q^{71} - 528q^{74} - 934q^{75} - 968q^{79} - 264q^{80} + 664q^{81} - 352q^{84} - 1196q^{85} + 396q^{86} + 376q^{94} + 126q^{95} - 32q^{96} - 3300q^{99} + O(q^{100}) \)

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
\(3\) −1.23261 4.19789i −0.410871 1.39930i −0.862031 0.506855i \(-0.830808\pi\)
0.451161 0.892443i \(-0.351010\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) −3.16099 + 3.87403i −0.632198 + 0.774806i
\(6\) −4.05185 4.67609i −0.675308 0.779348i
\(7\) −0.828200 5.76026i −0.118314 0.822894i −0.959411 0.282010i \(-0.908999\pi\)
0.841097 0.540884i \(-0.181910\pi\)
\(8\) 0.796860 2.71386i 0.0996075 0.339232i
\(9\) −8.53169 + 5.48298i −0.947965 + 0.609220i
\(10\) −1.79041 + 6.84065i −0.179041 + 0.684065i
\(11\) −9.75571 4.45528i −0.886883 0.405026i −0.0807319 0.996736i \(-0.525726\pi\)
−0.806151 + 0.591710i \(0.798453\pi\)
\(12\) −7.95949 3.63498i −0.663291 0.302915i
\(13\) −7.82709 1.12537i −0.602084 0.0865666i −0.165469 0.986215i \(-0.552914\pi\)
−0.436615 + 0.899648i \(0.643823\pi\)
\(14\) −4.44948 6.92352i −0.317820 0.494537i
\(15\) 20.1591 + 8.49433i 1.34394 + 0.566288i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) −6.38126 7.36437i −0.375369 0.433198i 0.536361 0.843988i \(-0.319798\pi\)
−0.911730 + 0.410790i \(0.865253\pi\)
\(18\) −7.75411 + 12.0656i −0.430784 + 0.670313i
\(19\) 10.2733 + 8.90189i 0.540702 + 0.468521i 0.881877 0.471479i \(-0.156280\pi\)
−0.341176 + 0.940000i \(0.610825\pi\)
\(20\) 1.71558 + 9.85174i 0.0857789 + 0.492587i
\(21\) −23.1601 + 10.5769i −1.10286 + 0.503660i
\(22\) −15.1673 −0.689423
\(23\) 7.56911 + 21.7189i 0.329092 + 0.944298i
\(24\) −12.3747 −0.515612
\(25\) −5.01626 24.4916i −0.200650 0.979663i
\(26\) −10.7300 + 3.15062i −0.412693 + 0.121178i
\(27\) 3.77481 + 3.27089i 0.139808 + 0.121144i
\(28\) −9.79134 6.29251i −0.349691 0.224733i
\(29\) −21.9342 25.3134i −0.756352 0.872876i 0.238816 0.971065i \(-0.423241\pi\)
−0.995168 + 0.0981884i \(0.968695\pi\)
\(30\) 30.9232 0.915933i 1.03077 0.0305311i
\(31\) 27.3144 + 8.02023i 0.881109 + 0.258717i 0.690834 0.723014i \(-0.257244\pi\)
0.190276 + 0.981731i \(0.439062\pi\)
\(32\) −3.05833 4.75885i −0.0955727 0.148714i
\(33\) −6.67779 + 46.4451i −0.202357 + 1.40743i
\(34\) −12.5354 5.72473i −0.368689 0.168374i
\(35\) 24.9334 + 14.9997i 0.712382 + 0.428562i
\(36\) −2.88661 + 20.0768i −0.0801836 + 0.557689i
\(37\) 31.7003 20.3725i 0.856764 0.550609i −0.0369133 0.999318i \(-0.511753\pi\)
0.893678 + 0.448709i \(0.148116\pi\)
\(38\) 18.4455 + 5.41609i 0.485408 + 0.142529i
\(39\) 4.92360 + 34.2444i 0.126246 + 0.878062i
\(40\) 7.99470 + 11.6655i 0.199867 + 0.291638i
\(41\) −26.8368 17.2470i −0.654557 0.420658i 0.170772 0.985311i \(-0.445374\pi\)
−0.825329 + 0.564652i \(0.809010\pi\)
\(42\) −23.5797 + 27.2124i −0.561422 + 0.647915i
\(43\) 25.0414 7.35281i 0.582357 0.170996i 0.0227324 0.999742i \(-0.492763\pi\)
0.559625 + 0.828746i \(0.310945\pi\)
\(44\) −19.5114 + 8.91057i −0.443441 + 0.202513i
\(45\) 5.72734 50.3837i 0.127274 1.11964i
\(46\) 22.4965 + 23.4927i 0.489055 + 0.510711i
\(47\) 75.4595i 1.60552i −0.596302 0.802760i \(-0.703364\pi\)
0.596302 0.802760i \(-0.296636\pi\)
\(48\) −15.9190 + 7.26995i −0.331645 + 0.151457i
\(49\) 14.5205 4.26360i 0.296337 0.0870123i
\(50\) −20.8414 28.5593i −0.416829 0.571186i
\(51\) −23.0492 + 35.8653i −0.451945 + 0.703241i
\(52\) −11.9523 + 10.3567i −0.229852 + 0.199168i
\(53\) −4.70391 32.7164i −0.0887530 0.617291i −0.984847 0.173426i \(-0.944516\pi\)
0.896094 0.443865i \(-0.146393\pi\)
\(54\) 6.77756 + 1.99007i 0.125510 + 0.0368532i
\(55\) 48.0976 23.7108i 0.874503 0.431106i
\(56\) −16.2925 2.34250i −0.290937 0.0418304i
\(57\) 24.7062 54.0989i 0.433441 0.949104i
\(58\) −43.0877 19.6775i −0.742892 0.339267i
\(59\) 10.5183 73.1563i 0.178276 1.23994i −0.682474 0.730910i \(-0.739096\pi\)
0.860750 0.509027i \(-0.169995\pi\)
\(60\) 39.2419 19.3452i 0.654032 0.322420i
\(61\) −5.39902 + 18.3874i −0.0885085 + 0.301432i −0.991836 0.127519i \(-0.959299\pi\)
0.903328 + 0.428951i \(0.141117\pi\)
\(62\) 39.8494 5.72948i 0.642732 0.0924109i
\(63\) 38.6493 + 44.6037i 0.613482 + 0.707995i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) 29.1011 26.7651i 0.447709 0.411771i
\(66\) 18.6954 + 63.6707i 0.283264 + 0.964707i
\(67\) −36.6744 80.3057i −0.547379 1.19859i −0.957995 0.286785i \(-0.907414\pi\)
0.410616 0.911808i \(-0.365314\pi\)
\(68\) −19.4889 −0.286602
\(69\) 81.8436 58.5452i 1.18614 0.848482i
\(70\) 40.8867 + 4.64778i 0.584096 + 0.0663968i
\(71\) 24.0951 + 52.7609i 0.339368 + 0.743112i 0.999971 0.00762351i \(-0.00242666\pi\)
−0.660603 + 0.750735i \(0.729699\pi\)
\(72\) 8.08146 + 27.5229i 0.112243 + 0.382263i
\(73\) −26.6733 23.1125i −0.365387 0.316610i 0.452745 0.891640i \(-0.350445\pi\)
−0.818132 + 0.575030i \(0.804990\pi\)
\(74\) 28.8111 44.8310i 0.389339 0.605824i
\(75\) −96.6299 + 51.2463i −1.28840 + 0.683284i
\(76\) 26.9104 3.86913i 0.354084 0.0509096i
\(77\) −17.5839 + 59.8853i −0.228362 + 0.777731i
\(78\) 26.4519 + 41.1600i 0.339127 + 0.527692i
\(79\) 154.891 + 22.2700i 1.96065 + 0.281899i 0.999991 + 0.00415955i \(0.00132403\pi\)
0.960657 + 0.277739i \(0.0895851\pi\)
\(80\) 17.1378 + 10.3099i 0.214223 + 0.128874i
\(81\) −28.8389 + 63.1484i −0.356036 + 0.779610i
\(82\) −44.6556 6.42051i −0.544581 0.0782989i
\(83\) −77.0186 + 49.4968i −0.927934 + 0.596347i −0.914949 0.403568i \(-0.867770\pi\)
−0.0129850 + 0.999916i \(0.504133\pi\)
\(84\) −14.3464 + 48.8592i −0.170790 + 0.581657i
\(85\) 48.7009 1.44250i 0.572952 0.0169706i
\(86\) 27.8939 24.1702i 0.324348 0.281049i
\(87\) −79.2266 + 123.279i −0.910651 + 1.41700i
\(88\) −19.8649 + 22.9254i −0.225738 + 0.260515i
\(89\) 38.1221 + 129.832i 0.428338 + 1.45878i 0.837558 + 0.546349i \(0.183983\pi\)
−0.409220 + 0.912436i \(0.634199\pi\)
\(90\) −22.2320 68.1790i −0.247022 0.757545i
\(91\) 46.0181i 0.505693i
\(92\) 42.7415 + 17.0049i 0.464581 + 0.184836i
\(93\) 124.549i 1.33923i
\(94\) −44.3313 97.0721i −0.471610 1.03268i
\(95\) −66.9602 + 11.6604i −0.704844 + 0.122741i
\(96\) −16.2074 + 18.7043i −0.168827 + 0.194837i
\(97\) 25.6629 + 16.4926i 0.264566 + 0.170027i 0.666198 0.745775i \(-0.267920\pi\)
−0.401632 + 0.915801i \(0.631557\pi\)
\(98\) 16.1746 14.0153i 0.165047 0.143014i
\(99\) 107.661 15.4793i 1.08748 0.156357i
\(100\) −43.5889 24.4951i −0.435889 0.244951i
\(101\) −69.6961 + 44.7910i −0.690061 + 0.443475i −0.838107 0.545505i \(-0.816338\pi\)
0.148047 + 0.988980i \(0.452701\pi\)
\(102\) −8.58050 + 59.6787i −0.0841225 + 0.585085i
\(103\) −25.8385 + 56.5784i −0.250859 + 0.549305i −0.992607 0.121374i \(-0.961270\pi\)
0.741748 + 0.670679i \(0.233997\pi\)
\(104\) −9.29118 + 20.3448i −0.0893382 + 0.195623i
\(105\) 32.2338 123.156i 0.306988 1.17292i
\(106\) −25.2716 39.3234i −0.238411 0.370975i
\(107\) 177.329 + 52.0684i 1.65728 + 0.486620i 0.970671 0.240410i \(-0.0772820\pi\)
0.686605 + 0.727031i \(0.259100\pi\)
\(108\) 9.88789 1.42166i 0.0915545 0.0131636i
\(109\) −19.2327 + 16.6653i −0.176447 + 0.152892i −0.738607 0.674136i \(-0.764516\pi\)
0.562160 + 0.827029i \(0.309971\pi\)
\(110\) 47.9437 58.7586i 0.435852 0.534169i
\(111\) −124.596 107.963i −1.12249 0.972639i
\(112\) −22.3350 + 6.55816i −0.199420 + 0.0585550i
\(113\) −43.4211 95.0789i −0.384257 0.841406i −0.998627 0.0523876i \(-0.983317\pi\)
0.614370 0.789018i \(-0.289410\pi\)
\(114\) 84.1081i 0.737791i
\(115\) −108.065 39.3301i −0.939699 0.342001i
\(116\) −66.9889 −0.577491
\(117\) 72.9486 33.3145i 0.623493 0.284740i
\(118\) −29.4474 100.289i −0.249554 0.849903i
\(119\) −37.1357 + 42.8569i −0.312065 + 0.360142i
\(120\) 39.1163 47.9400i 0.325969 0.399500i
\(121\) −3.91382 4.51679i −0.0323456 0.0373288i
\(122\) 3.85694 + 26.8256i 0.0316143 + 0.219882i
\(123\) −39.3216 + 133.917i −0.319688 + 1.08876i
\(124\) 47.8968 30.7814i 0.386265 0.248237i
\(125\) 110.737 + 57.9845i 0.885900 + 0.463876i
\(126\) 75.9231 + 34.6729i 0.602564 + 0.275182i
\(127\) −18.1233 8.27662i −0.142703 0.0651703i 0.342784 0.939414i \(-0.388630\pi\)
−0.485487 + 0.874244i \(0.661358\pi\)
\(128\) −11.1986 1.61011i −0.0874887 0.0125790i
\(129\) −61.7326 96.0578i −0.478547 0.744634i
\(130\) 21.7119 51.5275i 0.167015 0.396365i
\(131\) 31.0372 + 215.868i 0.236925 + 1.64785i 0.667001 + 0.745057i \(0.267578\pi\)
−0.430076 + 0.902793i \(0.641513\pi\)
\(132\) 61.4556 + 70.9236i 0.465573 + 0.537300i
\(133\) 42.7688 66.5496i 0.321570 0.500373i
\(134\) −94.3569 81.7607i −0.704156 0.610155i
\(135\) −24.6037 + 4.28447i −0.182249 + 0.0317368i
\(136\) −25.0708 + 11.4495i −0.184344 + 0.0841872i
\(137\) 64.4920 0.470745 0.235372 0.971905i \(-0.424369\pi\)
0.235372 + 0.971905i \(0.424369\pi\)
\(138\) 70.8903 123.395i 0.513698 0.894169i
\(139\) −39.2235 −0.282184 −0.141092 0.989997i \(-0.545061\pi\)
−0.141092 + 0.989997i \(0.545061\pi\)
\(140\) 55.3277 18.0414i 0.395198 0.128867i
\(141\) −316.771 + 93.0123i −2.24660 + 0.659662i
\(142\) 61.9926 + 53.7169i 0.436567 + 0.378288i
\(143\) 71.3450 + 45.8506i 0.498916 + 0.320634i
\(144\) 26.5654 + 30.6581i 0.184482 + 0.212904i
\(145\) 167.399 4.95829i 1.15447 0.0341951i
\(146\) −47.8911 14.0621i −0.328021 0.0963158i
\(147\) −35.7963 55.7001i −0.243512 0.378912i
\(148\) 10.7255 74.5973i 0.0724694 0.504036i
\(149\) 25.1142 + 11.4693i 0.168552 + 0.0769751i 0.497904 0.867232i \(-0.334103\pi\)
−0.329352 + 0.944207i \(0.606830\pi\)
\(150\) −94.1996 + 122.693i −0.627997 + 0.817951i
\(151\) 27.2284 189.378i 0.180321 1.25416i −0.675685 0.737190i \(-0.736152\pi\)
0.856006 0.516966i \(-0.172939\pi\)
\(152\) 32.3449 20.7868i 0.212795 0.136755i
\(153\) 94.8217 + 27.8422i 0.619749 + 0.181975i
\(154\) 12.5616 + 87.3675i 0.0815685 + 0.567322i
\(155\) −117.411 + 80.4649i −0.757492 + 0.519129i
\(156\) 58.2090 + 37.4086i 0.373134 + 0.239799i
\(157\) 36.9239 42.6124i 0.235184 0.271417i −0.625873 0.779925i \(-0.715257\pi\)
0.861057 + 0.508508i \(0.169803\pi\)
\(158\) 212.337 62.3479i 1.34391 0.394607i
\(159\) −131.542 + 60.0732i −0.827308 + 0.377819i
\(160\) 28.1033 + 3.19463i 0.175646 + 0.0199664i
\(161\) 118.837 61.5876i 0.738121 0.382532i
\(162\) 98.1775i 0.606034i
\(163\) −75.5111 + 34.4848i −0.463259 + 0.211563i −0.633350 0.773865i \(-0.718321\pi\)
0.170092 + 0.985428i \(0.445594\pi\)
\(164\) −61.2176 + 17.9751i −0.373278 + 0.109604i
\(165\) −158.821 172.682i −0.962553 1.04656i
\(166\) −69.9991 + 108.921i −0.421681 + 0.656149i
\(167\) −52.1798 + 45.2141i −0.312454 + 0.270743i −0.796943 0.604054i \(-0.793551\pi\)
0.484489 + 0.874797i \(0.339006\pi\)
\(168\) 10.2487 + 71.2814i 0.0610043 + 0.424294i
\(169\) −102.157 29.9961i −0.604482 0.177492i
\(170\) 61.8021 30.4668i 0.363542 0.179216i
\(171\) −136.458 19.6197i −0.797999 0.114735i
\(172\) 21.6834 47.4801i 0.126067 0.276047i
\(173\) −253.761 115.889i −1.46683 0.669877i −0.487678 0.873024i \(-0.662156\pi\)
−0.979148 + 0.203147i \(0.934883\pi\)
\(174\) −29.4936 + 205.132i −0.169503 + 1.17892i
\(175\) −136.923 + 49.1789i −0.782419 + 0.281022i
\(176\) −12.0862 + 41.1619i −0.0686717 + 0.233874i
\(177\) −320.067 + 46.0187i −1.80829 + 0.259993i
\(178\) 125.315 + 144.621i 0.704017 + 0.812479i
\(179\) −273.089 175.503i −1.52563 0.980466i −0.990774 0.135526i \(-0.956728\pi\)
−0.534861 0.844940i \(-0.679636\pi\)
\(180\) −68.6537 74.6455i −0.381409 0.414697i
\(181\) −7.36602 25.0864i −0.0406962 0.138599i 0.936639 0.350296i \(-0.113919\pi\)
−0.977335 + 0.211697i \(0.932101\pi\)
\(182\) 27.0350 + 59.1983i 0.148544 + 0.325265i
\(183\) 83.8430 0.458159
\(184\) 64.9734 3.23459i 0.353116 0.0175793i
\(185\) −21.2805 + 187.205i −0.115030 + 1.01192i
\(186\) −73.1706 160.221i −0.393390 0.861404i
\(187\) 29.4434 + 100.275i 0.157451 + 0.536230i
\(188\) −114.057 98.8309i −0.606686 0.525696i
\(189\) 15.7149 24.4528i 0.0831474 0.129380i
\(190\) −79.2882 + 54.3382i −0.417306 + 0.285991i
\(191\) 365.585 52.5632i 1.91406 0.275200i 0.920701 0.390269i \(-0.127618\pi\)
0.993358 + 0.115069i \(0.0367088\pi\)
\(192\) −9.86090 + 33.5831i −0.0513589 + 0.174912i
\(193\) 76.7289 + 119.392i 0.397559 + 0.618614i 0.981107 0.193465i \(-0.0619725\pi\)
−0.583548 + 0.812078i \(0.698336\pi\)
\(194\) 42.7023 + 6.13967i 0.220115 + 0.0316478i
\(195\) −148.227 89.1722i −0.760141 0.457293i
\(196\) 12.5734 27.5318i 0.0641499 0.140469i
\(197\) 248.252 + 35.6932i 1.26016 + 0.181184i 0.739838 0.672785i \(-0.234902\pi\)
0.520324 + 0.853969i \(0.325811\pi\)
\(198\) 129.403 83.1620i 0.653549 0.420010i
\(199\) 38.0942 129.737i 0.191428 0.651945i −0.806710 0.590948i \(-0.798754\pi\)
0.998138 0.0609970i \(-0.0194280\pi\)
\(200\) −70.4639 5.90296i −0.352319 0.0295148i
\(201\) −291.910 + 252.941i −1.45229 + 1.25841i
\(202\) −63.3440 + 98.5652i −0.313584 + 0.487946i
\(203\) −127.646 + 147.311i −0.628798 + 0.725671i
\(204\) 24.0223 + 81.8124i 0.117756 + 0.401041i
\(205\) 151.646 49.4492i 0.739738 0.241215i
\(206\) 87.9630i 0.427005i
\(207\) −183.661 143.797i −0.887253 0.694672i
\(208\) 31.6303i 0.152069i
\(209\) −60.5632 132.615i −0.289776 0.634521i
\(210\) −30.8866 177.367i −0.147079 0.844604i
\(211\) 102.242 117.994i 0.484559 0.559211i −0.459844 0.888000i \(-0.652095\pi\)
0.944404 + 0.328788i \(0.106640\pi\)
\(212\) −55.6117 35.7394i −0.262319 0.168582i
\(213\) 191.785 166.182i 0.900398 0.780199i
\(214\) 258.707 37.1965i 1.20891 0.173815i
\(215\) −50.6705 + 120.253i −0.235677 + 0.559317i
\(216\) 11.8847 7.63784i 0.0550218 0.0353604i
\(217\) 23.5768 163.980i 0.108649 0.755670i
\(218\) −14.9507 + 32.7374i −0.0685810 + 0.150171i
\(219\) −64.1461 + 140.460i −0.292904 + 0.641371i
\(220\) 27.1556 103.754i 0.123435 0.471610i
\(221\) 41.6591 + 64.8229i 0.188503 + 0.293316i
\(222\) −223.709 65.6868i −1.00770 0.295886i
\(223\) −152.453 + 21.9195i −0.683647 + 0.0982936i −0.475383 0.879779i \(-0.657690\pi\)
−0.208264 + 0.978073i \(0.566781\pi\)
\(224\) −24.8793 + 21.5580i −0.111068 + 0.0962412i
\(225\) 177.084 + 181.450i 0.787040 + 0.806446i
\(226\) −111.715 96.8015i −0.494314 0.428325i
\(227\) −268.976 + 78.9784i −1.18492 + 0.347923i −0.814067 0.580771i \(-0.802751\pi\)
−0.370849 + 0.928693i \(0.620933\pi\)
\(228\) −49.4123 108.198i −0.216721 0.474552i
\(229\) 9.55994i 0.0417465i 0.999782 + 0.0208732i \(0.00664464\pi\)
−0.999782 + 0.0208732i \(0.993355\pi\)
\(230\) −162.123 + 12.8920i −0.704882 + 0.0560523i
\(231\) 273.066 1.18210
\(232\) −86.1755 + 39.3550i −0.371446 + 0.169634i
\(233\) 121.334 + 413.226i 0.520747 + 1.77350i 0.626844 + 0.779145i \(0.284346\pi\)
−0.106098 + 0.994356i \(0.533836\pi\)
\(234\) 74.2703 85.7125i 0.317395 0.366293i
\(235\) 292.332 + 238.527i 1.24397 + 1.01501i
\(236\) −96.7996 111.713i −0.410168 0.473359i
\(237\) −97.4338 677.667i −0.411113 2.85935i
\(238\) −22.5941 + 76.9484i −0.0949332 + 0.323313i
\(239\) 158.013 101.549i 0.661142 0.424890i −0.166580 0.986028i \(-0.553273\pi\)
0.827723 + 0.561138i \(0.189636\pi\)
\(240\) 22.1557 84.6509i 0.0923156 0.352712i
\(241\) 242.655 + 110.817i 1.00687 + 0.459820i 0.849425 0.527709i \(-0.176949\pi\)
0.157440 + 0.987529i \(0.449676\pi\)
\(242\) −7.68834 3.51115i −0.0317700 0.0145089i
\(243\) 345.133 + 49.6226i 1.42030 + 0.204208i
\(244\) 20.7213 + 32.2429i 0.0849232 + 0.132143i
\(245\) −29.3818 + 69.7301i −0.119926 + 0.284613i
\(246\) 28.0905 + 195.374i 0.114189 + 0.794201i
\(247\) −70.3924 81.2372i −0.284990 0.328895i
\(248\) 43.5315 67.7363i 0.175530 0.273130i
\(249\) 302.716 + 262.305i 1.21573 + 1.05343i
\(250\) 176.519 + 9.53544i 0.706077 + 0.0381418i
\(251\) −302.907 + 138.333i −1.20680 + 0.551128i −0.914261 0.405125i \(-0.867228\pi\)
−0.292540 + 0.956253i \(0.594501\pi\)
\(252\) 118.038 0.468406
\(253\) 22.9216 245.605i 0.0905992 0.970772i
\(254\) −28.1764 −0.110931
\(255\) −66.0849 202.663i −0.259156 0.794758i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) 30.6235 + 26.5354i 0.119157 + 0.103251i 0.712401 0.701772i \(-0.247608\pi\)
−0.593244 + 0.805023i \(0.702153\pi\)
\(258\) −135.846 87.3031i −0.526536 0.338384i
\(259\) −143.605 165.729i −0.554460 0.639881i
\(260\) −2.34117 79.0411i −0.00900449 0.304004i
\(261\) 325.929 + 95.7013i 1.24877 + 0.366672i
\(262\) 166.746 + 259.462i 0.636436 + 0.990313i
\(263\) 46.8734 326.011i 0.178226 1.23959i −0.682640 0.730755i \(-0.739168\pi\)
0.860866 0.508832i \(-0.169923\pi\)
\(264\) 120.724 + 55.1328i 0.457288 + 0.208836i
\(265\) 141.614 + 85.1933i 0.534391 + 0.321484i
\(266\) 15.9215 110.736i 0.0598552 0.416302i
\(267\) 498.030 320.065i 1.86528 1.19874i
\(268\) −169.415 49.7448i −0.632147 0.185615i
\(269\) 10.4205 + 72.4765i 0.0387381 + 0.269429i 0.999980 0.00627600i \(-0.00199773\pi\)
−0.961242 + 0.275705i \(0.911089\pi\)
\(270\) −29.1334 + 19.9659i −0.107902 + 0.0739477i
\(271\) 363.616 + 233.682i 1.34176 + 0.862295i 0.997075 0.0764240i \(-0.0243503\pi\)
0.344682 + 0.938719i \(0.387987\pi\)
\(272\) −25.5251 + 29.4575i −0.0938421 + 0.108300i
\(273\) 193.179 56.7225i 0.707615 0.207775i
\(274\) 82.9634 37.8881i 0.302786 0.138278i
\(275\) −60.1798 + 261.282i −0.218836 + 0.950115i
\(276\) 18.7013 200.385i 0.0677583 0.726031i
\(277\) 445.651i 1.60885i −0.594056 0.804423i \(-0.702474\pi\)
0.594056 0.804423i \(-0.297526\pi\)
\(278\) −50.4577 + 23.0433i −0.181503 + 0.0828894i
\(279\) −277.013 + 81.3382i −0.992876 + 0.291535i
\(280\) 60.5753 55.7129i 0.216340 0.198975i
\(281\) −71.3567 + 111.033i −0.253939 + 0.395136i −0.944694 0.327952i \(-0.893642\pi\)
0.690756 + 0.723088i \(0.257278\pi\)
\(282\) −352.855 + 305.751i −1.25126 + 1.08422i
\(283\) 61.5742 + 428.258i 0.217577 + 1.51328i 0.746945 + 0.664886i \(0.231520\pi\)
−0.529368 + 0.848392i \(0.677571\pi\)
\(284\) 111.306 + 32.6824i 0.391923 + 0.115079i
\(285\) 131.485 + 266.719i 0.461351 + 0.935855i
\(286\) 118.716 + 17.0688i 0.415090 + 0.0596810i
\(287\) −77.1208 + 168.871i −0.268714 + 0.588401i
\(288\) 52.1854 + 23.8323i 0.181199 + 0.0827509i
\(289\) 27.6156 192.070i 0.0955555 0.664603i
\(290\) 212.431 104.723i 0.732522 0.361113i
\(291\) 37.6016 128.059i 0.129215 0.440066i
\(292\) −69.8691 + 10.0457i −0.239278 + 0.0344029i
\(293\) −291.037 335.875i −0.993301 1.14633i −0.989235 0.146339i \(-0.953251\pi\)
−0.00406671 0.999992i \(-0.501294\pi\)
\(294\) −78.7718 50.6236i −0.267931 0.172189i
\(295\) 250.162 + 271.995i 0.848005 + 0.922016i
\(296\) −30.0274 102.264i −0.101444 0.345487i
\(297\) −22.2532 48.7277i −0.0749265 0.164066i
\(298\) 39.0453 0.131025
\(299\) −34.8025 178.513i −0.116396 0.597035i
\(300\) −49.0995 + 213.174i −0.163665 + 0.710581i
\(301\) −63.0933 138.155i −0.209612 0.458987i
\(302\) −76.2297 259.614i −0.252416 0.859650i
\(303\) 273.936 + 237.367i 0.904079 + 0.783389i
\(304\) 29.3970 45.7426i 0.0967005 0.150469i
\(305\) −54.1670 79.0383i −0.177597 0.259142i
\(306\) 138.337 19.8898i 0.452081 0.0649994i
\(307\) 47.4767 161.691i 0.154647 0.526680i −0.845324 0.534254i \(-0.820593\pi\)
0.999971 + 0.00757358i \(0.00241077\pi\)
\(308\) 67.4865 + 105.011i 0.219112 + 0.340945i
\(309\) 269.359 + 38.7280i 0.871712 + 0.125333i
\(310\) −103.767 + 172.489i −0.334734 + 0.556415i
\(311\) 205.332 449.615i 0.660233 1.44571i −0.222072 0.975030i \(-0.571282\pi\)
0.882305 0.470678i \(-0.155991\pi\)
\(312\) 96.8579 + 13.9261i 0.310442 + 0.0446348i
\(313\) 36.2020 23.2656i 0.115661 0.0743310i −0.481531 0.876429i \(-0.659919\pi\)
0.597192 + 0.802098i \(0.296283\pi\)
\(314\) 22.4652 76.5095i 0.0715452 0.243661i
\(315\) −294.966 + 8.73679i −0.936401 + 0.0277359i
\(316\) 236.525 204.950i 0.748498 0.648577i
\(317\) −224.843 + 349.863i −0.709284 + 1.10367i 0.280328 + 0.959904i \(0.409557\pi\)
−0.989612 + 0.143763i \(0.954080\pi\)
\(318\) −133.925 + 154.558i −0.421149 + 0.486031i
\(319\) 101.205 + 344.673i 0.317258 + 1.08048i
\(320\) 38.0292 12.4007i 0.118841 0.0387521i
\(321\) 808.586i 2.51896i
\(322\) 116.692 149.042i 0.362399 0.462865i
\(323\) 132.462i 0.410099i
\(324\) 57.6778 + 126.297i 0.178018 + 0.389805i
\(325\) 11.7007 + 197.343i 0.0360022 + 0.607209i
\(326\) −76.8793 + 88.7234i −0.235826 + 0.272158i
\(327\) 93.6655 + 60.1952i 0.286439 + 0.184083i
\(328\) −68.1910 + 59.0879i −0.207899 + 0.180146i
\(329\) −434.666 + 62.4955i −1.32117 + 0.189956i
\(330\) −305.758 128.836i −0.926540 0.390412i
\(331\) 302.080 194.135i 0.912629 0.586511i 0.00211891 0.999998i \(-0.499326\pi\)
0.910510 + 0.413487i \(0.135689\pi\)
\(332\) −26.0585 + 181.241i −0.0784893 + 0.545905i
\(333\) −158.755 + 347.624i −0.476741 + 1.04392i
\(334\) −40.5623 + 88.8190i −0.121444 + 0.265925i
\(335\) 427.035 + 111.768i 1.27473 + 0.333636i
\(336\) 55.0609 + 85.6765i 0.163872 + 0.254989i
\(337\) 53.1558 + 15.6079i 0.157732 + 0.0463144i 0.359645 0.933089i \(-0.382898\pi\)
−0.201913 + 0.979403i \(0.564716\pi\)
\(338\) −149.039 + 21.4286i −0.440944 + 0.0633982i
\(339\) −345.610 + 299.472i −1.01950 + 0.883399i
\(340\) 61.6043 75.5007i 0.181189 0.222061i
\(341\) −230.739 199.936i −0.676654 0.586324i
\(342\) −187.067 + 54.9280i −0.546981 + 0.160608i
\(343\) −155.043 339.497i −0.452021 0.989787i
\(344\) 73.8178i 0.214587i
\(345\) −31.9009 + 502.126i −0.0924664 + 1.45544i
\(346\) −394.524 −1.14024
\(347\) −74.2261 + 33.8979i −0.213908 + 0.0976886i −0.519488 0.854478i \(-0.673877\pi\)
0.305579 + 0.952167i \(0.401150\pi\)
\(348\) 82.5714 + 281.212i 0.237274 + 0.808081i
\(349\) −58.5662 + 67.5890i −0.167811 + 0.193665i −0.833426 0.552631i \(-0.813624\pi\)
0.665615 + 0.746295i \(0.268169\pi\)
\(350\) −147.248 + 143.705i −0.420709 + 0.410585i
\(351\) −25.8648 29.8496i −0.0736889 0.0850415i
\(352\) 8.63413 + 60.0517i 0.0245288 + 0.170601i
\(353\) −125.673 + 428.003i −0.356014 + 1.21247i 0.565703 + 0.824609i \(0.308605\pi\)
−0.921717 + 0.387863i \(0.873213\pi\)
\(354\) −384.704 + 247.234i −1.08673 + 0.698401i
\(355\) −280.562 73.4317i −0.790316 0.206850i
\(356\) 246.170 + 112.422i 0.691489 + 0.315792i
\(357\) 225.683 + 103.066i 0.632164 + 0.288700i
\(358\) −454.411 65.3344i −1.26930 0.182498i
\(359\) 145.527 + 226.444i 0.405366 + 0.630762i 0.982582 0.185829i \(-0.0594972\pi\)
−0.577216 + 0.816592i \(0.695861\pi\)
\(360\) −132.170 55.6919i −0.367139 0.154700i
\(361\) −25.0780 174.421i −0.0694681 0.483161i
\(362\) −24.2136 27.9440i −0.0668885 0.0771934i
\(363\) −14.1368 + 21.9972i −0.0389443 + 0.0605985i
\(364\) 69.5563 + 60.2709i 0.191089 + 0.165579i
\(365\) 173.853 30.2746i 0.476309 0.0829441i
\(366\) 107.857 49.2566i 0.294691 0.134581i
\(367\) 476.514 1.29840 0.649201 0.760617i \(-0.275103\pi\)
0.649201 + 0.760617i \(0.275103\pi\)
\(368\) 81.6824 42.3319i 0.221963 0.115032i
\(369\) 323.528 0.876770
\(370\) 82.6049 + 253.326i 0.223257 + 0.684664i
\(371\) −184.559 + 54.1915i −0.497464 + 0.146069i
\(372\) −188.255 163.124i −0.506062 0.438506i
\(373\) −392.776 252.422i −1.05302 0.676735i −0.104847 0.994488i \(-0.533435\pi\)
−0.948173 + 0.317754i \(0.897071\pi\)
\(374\) 96.7865 + 111.698i 0.258788 + 0.298657i
\(375\) 106.916 536.337i 0.285111 1.43023i
\(376\) −204.786 60.1306i −0.544644 0.159922i
\(377\) 143.194 + 222.814i 0.379825 + 0.591020i
\(378\) 5.85015 40.6887i 0.0154766 0.107642i
\(379\) 81.4124 + 37.1798i 0.214809 + 0.0980998i 0.519913 0.854219i \(-0.325964\pi\)
−0.305105 + 0.952319i \(0.598691\pi\)
\(380\) −70.0745 + 116.482i −0.184406 + 0.306532i
\(381\) −12.4054 + 86.2814i −0.0325601 + 0.226460i
\(382\) 439.414 282.394i 1.15030 0.739251i
\(383\) −326.617 95.9033i −0.852785 0.250400i −0.174008 0.984744i \(-0.555672\pi\)
−0.678778 + 0.734344i \(0.737490\pi\)
\(384\) 7.04441 + 48.9950i 0.0183448 + 0.127591i
\(385\) −176.415 257.418i −0.458221 0.668617i
\(386\) 168.846 + 108.511i 0.437426 + 0.281117i
\(387\) −173.330 + 200.033i −0.447880 + 0.516882i
\(388\) 58.5398 17.1888i 0.150876 0.0443011i
\(389\) −100.199 + 45.7593i −0.257581 + 0.117633i −0.540021 0.841652i \(-0.681584\pi\)
0.282440 + 0.959285i \(0.408856\pi\)
\(390\) −243.069 27.6308i −0.623254 0.0708482i
\(391\) 111.645 194.336i 0.285538 0.497022i
\(392\) 42.8040i 0.109194i
\(393\) 867.935 396.373i 2.20849 1.00858i
\(394\) 340.324 99.9282i 0.863767 0.253625i
\(395\) −575.885 + 529.658i −1.45794 + 1.34091i
\(396\) 117.609 183.003i 0.296992 0.462129i
\(397\) 289.521 250.871i 0.729272 0.631918i −0.208960 0.977924i \(-0.567008\pi\)
0.938232 + 0.346006i \(0.112462\pi\)
\(398\) −27.2137 189.275i −0.0683761 0.475566i
\(399\) −332.085 97.5091i −0.832294 0.244384i
\(400\) −94.1136 + 33.8028i −0.235284 + 0.0845071i
\(401\) −287.071 41.2746i −0.715889 0.102929i −0.225261 0.974298i \(-0.572323\pi\)
−0.490628 + 0.871369i \(0.663233\pi\)
\(402\) −226.917 + 496.880i −0.564471 + 1.23602i
\(403\) −204.766 93.5137i −0.508105 0.232044i
\(404\) −23.5810 + 164.009i −0.0583688 + 0.405964i
\(405\) −153.479 311.335i −0.378962 0.768728i
\(406\) −77.6623 + 264.493i −0.191286 + 0.651461i
\(407\) −400.024 + 57.5148i −0.982860 + 0.141314i
\(408\) 78.9662 + 91.1319i 0.193545 + 0.223362i
\(409\) −297.439 191.153i −0.727235 0.467366i 0.123912 0.992293i \(-0.460456\pi\)
−0.851147 + 0.524927i \(0.824092\pi\)
\(410\) 166.029 152.702i 0.404950 0.372444i
\(411\) −79.4937 270.731i −0.193415 0.658712i
\(412\) 51.6770 + 113.157i 0.125430 + 0.274652i
\(413\) −430.110 −1.04143
\(414\) −320.743 77.0843i −0.774742 0.186194i
\(415\) 51.7028 454.831i 0.124585 1.09598i
\(416\) 18.5824 + 40.6897i 0.0446691 + 0.0978117i
\(417\) 48.3474 + 164.656i 0.115941 + 0.394859i
\(418\) −155.819 135.018i −0.372772 0.323009i
\(419\) 156.379 243.330i 0.373219 0.580740i −0.602943 0.797784i \(-0.706005\pi\)
0.976162 + 0.217045i \(0.0696417\pi\)
\(420\) −143.933 210.022i −0.342699 0.500052i
\(421\) −731.667 + 105.198i −1.73793 + 0.249876i −0.937110 0.349035i \(-0.886510\pi\)
−0.800816 + 0.598911i \(0.795600\pi\)
\(422\) 62.2061 211.854i 0.147408 0.502025i
\(423\) 413.743 + 643.797i 0.978116 + 1.52198i
\(424\) −92.5360 13.3047i −0.218245 0.0313789i
\(425\) −148.355 + 193.229i −0.349071 + 0.454656i
\(426\) 149.085 326.450i 0.349964 0.766315i
\(427\) 110.387 + 15.8713i 0.258519 + 0.0371693i
\(428\) 310.952 199.837i 0.726524 0.466909i
\(429\) 104.535 356.015i 0.243672 0.829871i
\(430\) 5.46374 + 184.464i 0.0127064 + 0.428985i
\(431\) 543.201 470.686i 1.26033 1.09208i 0.268661 0.963235i \(-0.413419\pi\)
0.991665 0.128844i \(-0.0411267\pi\)
\(432\) 10.8015 16.8075i 0.0250036 0.0389063i
\(433\) −127.721 + 147.398i −0.294968 + 0.340411i −0.883818 0.467831i \(-0.845036\pi\)
0.588850 + 0.808243i \(0.299581\pi\)
\(434\) −66.0065 224.798i −0.152089 0.517967i
\(435\) −227.152 696.611i −0.522189 1.60140i
\(436\) 50.8971i 0.116737i
\(437\) −115.579 + 290.504i −0.264483 + 0.664770i
\(438\) 218.375i 0.498573i
\(439\) 75.5986 + 165.538i 0.172206 + 0.377079i 0.975981 0.217854i \(-0.0699057\pi\)
−0.803775 + 0.594933i \(0.797178\pi\)
\(440\) −26.0207 149.424i −0.0591379 0.339601i
\(441\) −100.507 + 115.991i −0.227907 + 0.263019i
\(442\) 91.6734 + 58.9149i 0.207406 + 0.133292i
\(443\) 167.105 144.797i 0.377212 0.326856i −0.445534 0.895265i \(-0.646986\pi\)
0.822746 + 0.568409i \(0.192441\pi\)
\(444\) −326.372 + 46.9252i −0.735072 + 0.105687i
\(445\) −623.476 262.711i −1.40107 0.590362i
\(446\) −183.241 + 117.762i −0.410853 + 0.264039i
\(447\) 17.1907 119.564i 0.0384580 0.267481i
\(448\) −19.3400 + 42.3488i −0.0431697 + 0.0945285i
\(449\) 262.180 574.094i 0.583919 1.27860i −0.355128 0.934818i \(-0.615563\pi\)
0.939048 0.343787i \(-0.111710\pi\)
\(450\) 334.403 + 129.386i 0.743117 + 0.287525i
\(451\) 184.972 + 287.822i 0.410138 + 0.638187i
\(452\) −200.581 58.8959i −0.443764 0.130301i
\(453\) −828.549 + 119.127i −1.82903 + 0.262974i
\(454\) −299.616 + 259.618i −0.659946 + 0.571847i
\(455\) −178.276 145.463i −0.391814 0.319699i
\(456\) −127.129 110.158i −0.278792 0.241575i
\(457\) 326.766 95.9473i 0.715025 0.209950i 0.0960676 0.995375i \(-0.469374\pi\)
0.618957 + 0.785425i \(0.287555\pi\)
\(458\) 5.61633 + 12.2980i 0.0122627 + 0.0268516i
\(459\) 48.6715i 0.106038i
\(460\) −200.983 + 111.829i −0.436920 + 0.243107i
\(461\) 8.47630 0.0183868 0.00919339 0.999958i \(-0.497074\pi\)
0.00919339 + 0.999958i \(0.497074\pi\)
\(462\) 351.276 160.422i 0.760338 0.347235i
\(463\) 155.777 + 530.527i 0.336451 + 1.14585i 0.937891 + 0.346929i \(0.112776\pi\)
−0.601440 + 0.798918i \(0.705406\pi\)
\(464\) −87.7368 + 101.254i −0.189088 + 0.218219i
\(465\) 482.506 + 393.697i 1.03765 + 0.846661i
\(466\) 398.850 + 460.297i 0.855901 + 0.987762i
\(467\) −49.7779 346.213i −0.106591 0.741355i −0.971089 0.238719i \(-0.923273\pi\)
0.864498 0.502636i \(-0.167636\pi\)
\(468\) 45.1875 153.895i 0.0965545 0.328835i
\(469\) −432.208 + 277.763i −0.921552 + 0.592246i
\(470\) 516.192 + 135.103i 1.09828 + 0.287453i
\(471\) −224.395 102.478i −0.476423 0.217575i
\(472\) −190.154 86.8404i −0.402869 0.183984i
\(473\) −277.055 39.8345i −0.585740 0.0842167i
\(474\) −523.460 814.519i −1.10435 1.71839i
\(475\) 166.488 296.264i 0.350501 0.623714i
\(476\) 16.1407 + 112.261i 0.0339091 + 0.235843i
\(477\) 219.516 + 253.335i 0.460201 + 0.531100i
\(478\) 143.612 223.464i 0.300443 0.467498i
\(479\) 233.280 + 202.138i 0.487014 + 0.422000i 0.863444 0.504445i \(-0.168303\pi\)
−0.376430 + 0.926445i \(0.622848\pi\)
\(480\) −21.2297 121.912i −0.0442286 0.253984i
\(481\) −271.048 + 123.783i −0.563508 + 0.257346i
\(482\) 377.257 0.782692
\(483\) −405.019 422.953i −0.838548 0.875680i
\(484\) −11.9531 −0.0246966
\(485\) −145.013 + 47.2862i −0.298996 + 0.0974973i
\(486\) 473.137 138.925i 0.973532 0.285855i
\(487\) 121.936 + 105.659i 0.250383 + 0.216958i 0.771005 0.636829i \(-0.219754\pi\)
−0.520622 + 0.853787i \(0.674300\pi\)
\(488\) 45.5984 + 29.3043i 0.0934393 + 0.0600498i
\(489\) 237.839 + 274.481i 0.486379 + 0.561311i
\(490\) 3.16821 + 106.963i 0.00646573 + 0.218292i
\(491\) 790.444 + 232.095i 1.60987 + 0.472699i 0.958269 0.285867i \(-0.0922816\pi\)
0.651596 + 0.758566i \(0.274100\pi\)
\(492\) 150.915 + 234.828i 0.306738 + 0.477294i
\(493\) −46.4495 + 323.063i −0.0942180 + 0.655301i
\(494\) −138.279 63.1501i −0.279918 0.127834i
\(495\) −280.348 + 466.012i −0.566359 + 0.941438i
\(496\) 16.2054 112.711i 0.0326722 0.227240i
\(497\) 283.961 182.491i 0.571350 0.367184i
\(498\) 543.519 + 159.592i 1.09140 + 0.320465i
\(499\) 57.9502 + 403.052i 0.116133 + 0.807720i 0.961750 + 0.273930i \(0.0883237\pi\)
−0.845617 + 0.533790i \(0.820767\pi\)
\(500\) 232.679 91.4360i 0.465358 0.182872i
\(501\) 254.121 + 163.314i 0.507228 + 0.325976i
\(502\) −308.395 + 355.907i −0.614333 + 0.708979i
\(503\) 172.418 50.6264i 0.342778 0.100649i −0.105812 0.994386i \(-0.533744\pi\)
0.448591 + 0.893737i \(0.351926\pi\)
\(504\) 151.846 69.3458i 0.301282 0.137591i
\(505\) 46.7872 411.589i 0.0926479 0.815028i
\(506\) −114.803 329.416i −0.226883 0.651020i
\(507\) 465.819i 0.918776i
\(508\) −36.2465 + 16.5532i −0.0713515 + 0.0325851i
\(509\) 563.843 165.559i 1.10775 0.325264i 0.323821 0.946118i \(-0.395032\pi\)
0.783926 + 0.620854i \(0.213214\pi\)
\(510\) −204.074 221.885i −0.400146 0.435069i
\(511\) −111.043 + 172.787i −0.217306 + 0.338134i
\(512\) −17.1007 + 14.8178i −0.0333997 + 0.0289410i
\(513\) 9.66274 + 67.2058i 0.0188358 + 0.131006i
\(514\) 54.9836 + 16.1446i 0.106972 + 0.0314098i
\(515\) −137.511 278.943i −0.267012 0.541637i
\(516\) −226.044 32.5002i −0.438069 0.0629849i
\(517\) −336.193 + 736.161i −0.650277 + 1.42391i
\(518\) −282.099 128.830i −0.544593 0.248707i
\(519\) −173.700 + 1208.11i −0.334681 + 2.32776i
\(520\) −49.4472 100.304i −0.0950908 0.192893i
\(521\) −268.318 + 913.808i −0.515006 + 1.75395i 0.131779 + 0.991279i \(0.457931\pi\)
−0.646786 + 0.762672i \(0.723887\pi\)
\(522\) 475.502 68.3669i 0.910924 0.130971i
\(523\) 68.0577 + 78.5427i 0.130129 + 0.150177i 0.817075 0.576532i \(-0.195594\pi\)
−0.686945 + 0.726709i \(0.741049\pi\)
\(524\) 366.935 + 235.815i 0.700257 + 0.450028i
\(525\) 375.221 + 514.171i 0.714707 + 0.979373i
\(526\) −131.228 446.923i −0.249484 0.849664i
\(527\) −115.236 252.333i −0.218665 0.478809i
\(528\) 187.691 0.355475
\(529\) −414.417 + 328.785i −0.783397 + 0.621521i
\(530\) 232.223 + 26.3979i 0.438157 + 0.0498074i
\(531\) 311.376 + 681.818i 0.586395 + 1.28403i
\(532\) −44.5744 151.807i −0.0837865 0.285351i
\(533\) 190.645 + 165.195i 0.357683 + 0.309934i
\(534\) 452.640 704.321i 0.847640 1.31895i
\(535\) −762.249 + 522.389i −1.42476 + 0.976428i
\(536\) −247.163 + 35.5366i −0.461124 + 0.0662997i
\(537\) −400.132 + 1362.72i −0.745125 + 2.53766i
\(538\) 55.9840 + 87.1128i 0.104059 + 0.161920i
\(539\) −160.653 23.0985i −0.298058 0.0428543i
\(540\) −25.7480 + 42.7999i −0.0476814 + 0.0792590i
\(541\) 379.767 831.574i 0.701973 1.53711i −0.135590 0.990765i \(-0.543293\pi\)
0.837563 0.546341i \(-0.183980\pi\)
\(542\) 605.046 + 86.9925i 1.11632 + 0.160503i
\(543\) −96.2304 + 61.8435i −0.177220 + 0.113892i
\(544\) −15.5299 + 52.8901i −0.0285477 + 0.0972245i
\(545\) −3.76723 127.187i −0.00691235 0.233371i
\(546\) 215.185 186.458i 0.394111 0.341499i
\(547\) 196.709 306.085i 0.359614 0.559571i −0.613558 0.789650i \(-0.710262\pi\)
0.973172 + 0.230079i \(0.0738985\pi\)
\(548\) 84.4666 97.4796i 0.154136 0.177883i
\(549\) −54.7548 186.478i −0.0997356 0.339668i
\(550\) 76.0830 + 371.471i 0.138333 + 0.675402i
\(551\) 455.309i 0.826332i
\(552\) −93.6654 268.764i −0.169684 0.486892i
\(553\) 910.657i 1.64676i
\(554\) −261.813 573.291i −0.472587 1.03482i
\(555\) 812.099 141.418i 1.46324 0.254808i
\(556\) −51.3719 + 59.2864i −0.0923955 + 0.106630i
\(557\) −322.227 207.083i −0.578505 0.371782i 0.218426 0.975854i \(-0.429908\pi\)
−0.796930 + 0.604071i \(0.793544\pi\)
\(558\) −308.568 + 267.375i −0.552989 + 0.479168i
\(559\) −204.276 + 29.3704i −0.365430 + 0.0525410i
\(560\) 45.1944 107.257i 0.0807043 0.191530i
\(561\) 384.651 247.200i 0.685653 0.440643i
\(562\) −26.5639 + 184.756i −0.0472667 + 0.328747i
\(563\) −49.7672 + 108.975i −0.0883965 + 0.193561i −0.948667 0.316276i \(-0.897567\pi\)
0.860271 + 0.509838i \(0.170295\pi\)
\(564\) −274.293 + 600.619i −0.486336 + 1.06493i
\(565\) 505.592 + 132.329i 0.894854 + 0.234211i
\(566\) 330.805 + 514.743i 0.584461 + 0.909439i
\(567\) 387.636 + 113.820i 0.683661 + 0.200741i
\(568\) 162.386 23.3476i 0.285891 0.0411049i
\(569\) 497.586 431.161i 0.874492 0.757752i −0.0968846 0.995296i \(-0.530888\pi\)
0.971377 + 0.237544i \(0.0763423\pi\)
\(570\) 325.838 + 265.865i 0.571645 + 0.466430i
\(571\) 105.030 + 91.0089i 0.183940 + 0.159385i 0.741964 0.670440i \(-0.233895\pi\)
−0.558023 + 0.829825i \(0.688440\pi\)
\(572\) 162.745 47.7863i 0.284520 0.0835425i
\(573\) −671.280 1469.90i −1.17152 2.56527i
\(574\) 262.545i 0.457396i
\(575\) 493.960 294.327i 0.859061 0.511873i
\(576\) 81.1331 0.140856
\(577\) 307.553 140.455i 0.533021 0.243422i −0.130675 0.991425i \(-0.541714\pi\)
0.663695 + 0.748003i \(0.268987\pi\)
\(578\) −77.3135 263.306i −0.133760 0.455546i
\(579\) 406.620 469.264i 0.702279 0.810473i
\(580\) 211.751 259.517i 0.365089 0.447443i
\(581\) 348.901 + 402.654i 0.600519 + 0.693035i
\(582\) −26.8617 186.828i −0.0461542 0.321010i
\(583\) −99.8709 + 340.129i −0.171305 + 0.583412i
\(584\) −83.9789 + 53.9700i −0.143799 + 0.0924143i
\(585\) −101.529 + 387.912i −0.173553 + 0.663098i
\(586\) −571.716 261.094i −0.975625 0.445553i
\(587\) −676.775 309.073i −1.15294 0.526529i −0.255126 0.966908i \(-0.582117\pi\)
−0.897812 + 0.440378i \(0.854844\pi\)
\(588\) −131.074 18.8456i −0.222915 0.0320503i
\(589\) 209.215 + 325.544i 0.355203 + 0.552707i
\(590\) 481.604 + 202.931i 0.816278 + 0.343951i
\(591\) −156.162 1086.13i −0.264234 1.83779i
\(592\) −98.7064 113.913i −0.166734 0.192421i
\(593\) 5.82225 9.05960i 0.00981830 0.0152776i −0.836310 0.548257i \(-0.815291\pi\)
0.846128 + 0.532980i \(0.178928\pi\)
\(594\) −57.2536 49.6105i −0.0963865 0.0835194i
\(595\) −48.6433 279.335i −0.0817535 0.469471i
\(596\) 50.2285 22.9386i 0.0842759 0.0384875i
\(597\) −591.578 −0.990917
\(598\) −149.644 209.196i −0.250242 0.349826i
\(599\) 123.555 0.206270 0.103135 0.994667i \(-0.467113\pi\)
0.103135 + 0.994667i \(0.467113\pi\)
\(600\) 62.0746 + 303.076i 0.103458 + 0.505126i
\(601\) 569.125 167.110i 0.946964 0.278054i 0.228442 0.973558i \(-0.426637\pi\)
0.718522 + 0.695504i \(0.244819\pi\)
\(602\) −162.328 140.658i −0.269648 0.233652i
\(603\) 753.209 + 484.058i 1.24910 + 0.802750i
\(604\) −250.583 289.188i −0.414872 0.478788i
\(605\) 29.8697 0.884730i 0.0493715 0.00146236i
\(606\) 491.845 + 144.419i 0.811625 + 0.238315i
\(607\) −502.720 782.248i −0.828205 1.28871i −0.954947 0.296776i \(-0.904089\pi\)
0.126742 0.991936i \(-0.459548\pi\)
\(608\) 10.9436 76.1141i 0.0179993 0.125188i
\(609\) 775.735 + 354.266i 1.27378 + 0.581718i
\(610\) −116.115 69.8536i −0.190352 0.114514i
\(611\) −84.9195 + 590.628i −0.138984 + 0.966658i
\(612\) 166.273 106.857i 0.271689 0.174604i
\(613\) 131.298 + 38.5526i 0.214189 + 0.0628917i 0.387067 0.922052i \(-0.373488\pi\)
−0.172877 + 0.984943i \(0.555306\pi\)
\(614\) −33.9163 235.893i −0.0552383 0.384191i
\(615\) −394.504 575.644i −0.641469 0.936006i
\(616\) 148.508 + 95.4404i 0.241085 + 0.154936i
\(617\) −403.220 + 465.341i −0.653518 + 0.754200i −0.981704 0.190413i \(-0.939017\pi\)
0.328186 + 0.944613i \(0.393563\pi\)
\(618\) 369.259 108.424i 0.597507 0.175444i
\(619\) 110.536 50.4803i 0.178573 0.0815514i −0.324123 0.946015i \(-0.605069\pi\)
0.502695 + 0.864464i \(0.332342\pi\)
\(620\) −32.1533 + 282.854i −0.0518601 + 0.456215i
\(621\) −42.4680 + 106.742i −0.0683865 + 0.171888i
\(622\) 699.021i 1.12383i
\(623\) 716.292 327.120i 1.14975 0.525072i
\(624\) 132.781 38.9879i 0.212789 0.0624806i
\(625\) −574.674 + 245.712i −0.919479 + 0.393139i
\(626\) 32.9025 51.1973i 0.0525599 0.0817848i
\(627\) −482.052 + 417.701i −0.768823 + 0.666189i
\(628\) −16.0487 111.621i −0.0255552 0.177740i
\(629\) −352.319 103.450i −0.560125 0.164468i
\(630\) −374.316 + 184.528i −0.594153 + 0.292901i
\(631\) −692.551 99.5737i −1.09754 0.157803i −0.430332 0.902671i \(-0.641604\pi\)
−0.667212 + 0.744868i \(0.732513\pi\)
\(632\) 183.864 402.606i 0.290924 0.637035i
\(633\) −621.349 283.761i −0.981595 0.448279i
\(634\) −83.7020 + 582.160i −0.132022 + 0.918234i
\(635\) 89.3514 44.0478i 0.140711 0.0693666i
\(636\) −81.4827 + 277.505i −0.128117 + 0.436328i
\(637\) −118.451 + 17.0307i −0.185952 + 0.0267358i
\(638\) 332.683 + 383.936i 0.521446 + 0.601781i
\(639\) −494.859 318.027i −0.774427 0.497694i
\(640\) 41.6361 38.2940i 0.0650565 0.0598344i
\(641\) −326.151 1110.77i −0.508815 1.73287i −0.666622 0.745396i \(-0.732260\pi\)
0.157806 0.987470i \(-0.449558\pi\)
\(642\) −475.033 1040.18i −0.739927 1.62021i
\(643\) 1186.17 1.84475 0.922373 0.386301i \(-0.126247\pi\)
0.922373 + 0.386301i \(0.126247\pi\)
\(644\) 62.5544 260.285i 0.0971342 0.404170i
\(645\) 567.267 + 64.4839i 0.879484 + 0.0999750i
\(646\) −77.8195 170.401i −0.120464 0.263779i
\(647\) −222.607 758.130i −0.344060 1.17176i −0.931879 0.362769i \(-0.881831\pi\)
0.587819 0.808993i \(-0.299987\pi\)
\(648\) 148.395 + 128.585i 0.229005 + 0.198434i
\(649\) −428.545 + 666.830i −0.660316 + 1.02747i
\(650\) 130.988 + 246.991i 0.201520 + 0.379986i
\(651\) −717.433 + 103.151i −1.10205 + 0.158450i
\(652\) −46.7748 + 159.300i −0.0717406 + 0.244326i
\(653\) 252.104 + 392.281i 0.386070 + 0.600737i 0.978838 0.204637i \(-0.0656013\pi\)
−0.592768 + 0.805373i \(0.701965\pi\)
\(654\) 155.856 + 22.4088i 0.238313 + 0.0342642i
\(655\) −934.389 562.119i −1.42655 0.858197i
\(656\) −53.0086 + 116.073i −0.0808058 + 0.176940i
\(657\) 354.293 + 50.9397i 0.539259 + 0.0775338i
\(658\) −522.445 + 335.755i −0.793990 + 0.510266i
\(659\) 321.083 1093.51i 0.487227 1.65934i −0.238332 0.971184i \(-0.576601\pi\)
0.725559 0.688160i \(-0.241581\pi\)
\(660\) −469.021 + 13.8922i −0.710638 + 0.0210488i
\(661\) −135.908 + 117.765i −0.205609 + 0.178162i −0.751578 0.659644i \(-0.770707\pi\)
0.545969 + 0.837805i \(0.316162\pi\)
\(662\) 274.549 427.206i 0.414726 0.645326i
\(663\) 220.770 254.782i 0.332986 0.384287i
\(664\) 72.9542 + 248.459i 0.109871 + 0.374186i
\(665\) 122.623 + 376.051i 0.184396 + 0.565490i
\(666\) 540.455i 0.811493i
\(667\) 383.756 667.986i 0.575346 1.00148i
\(668\) 138.088i 0.206718i
\(669\) 279.931 + 612.964i 0.418433 + 0.916240i
\(670\) 615.005 107.097i 0.917918 0.159846i
\(671\) 134.592 155.328i 0.200584 0.231487i
\(672\) 121.165 + 77.8679i 0.180305 + 0.115875i
\(673\) −416.137 + 360.585i −0.618332 + 0.535787i −0.906724 0.421725i \(-0.861425\pi\)
0.288392 + 0.957512i \(0.406879\pi\)
\(674\) 77.5498 11.1500i 0.115059 0.0165430i
\(675\) 61.1738 108.859i 0.0906278 0.161272i
\(676\) −179.137 + 115.124i −0.264995 + 0.170302i
\(677\) −121.155 + 842.650i −0.178958 + 1.24468i 0.680220 + 0.733008i \(0.261884\pi\)
−0.859179 + 0.511675i \(0.829025\pi\)
\(678\) −268.661 + 588.286i −0.396256 + 0.867679i
\(679\) 73.7474 161.484i 0.108612 0.237827i
\(680\) 34.8931 133.317i 0.0513134 0.196054i
\(681\) 663.086 + 1031.78i 0.973695 + 1.51510i
\(682\) −414.285 121.645i −0.607457 0.178365i
\(683\) 81.0014 11.6462i 0.118596 0.0170516i −0.0827610 0.996569i \(-0.526374\pi\)
0.201357 + 0.979518i \(0.435465\pi\)
\(684\) −208.377 + 180.560i −0.304644 + 0.263976i
\(685\) −203.859 + 249.844i −0.297604 + 0.364736i
\(686\) −398.899 345.648i −0.581486 0.503860i
\(687\) 40.1316 11.7837i 0.0584157 0.0171524i
\(688\) −43.3669 94.9603i −0.0630333 0.138024i
\(689\) 261.368i 0.379344i
\(690\) 253.954 + 664.683i 0.368049 + 0.963309i
\(691\) −1178.94 −1.70614 −0.853068 0.521800i \(-0.825261\pi\)
−0.853068 + 0.521800i \(0.825261\pi\)
\(692\) −507.522 + 231.777i −0.733413 + 0.334938i
\(693\) −178.330 607.335i −0.257330 0.876385i
\(694\) −75.5710 + 87.2136i −0.108892 + 0.125668i
\(695\) 123.985 151.953i 0.178396 0.218638i
\(696\) 271.429 + 313.246i 0.389984 + 0.450066i
\(697\) 44.2397 + 307.694i 0.0634716 + 0.441455i
\(698\) −35.6328 + 121.354i −0.0510498 + 0.173860i
\(699\) 1585.12 1018.69i 2.26769 1.45736i
\(700\) −104.998 + 271.370i −0.149997 + 0.387672i
\(701\) 275.650 + 125.885i 0.393224 + 0.179579i 0.602207 0.798340i \(-0.294288\pi\)
−0.208983 + 0.977919i \(0.567015\pi\)
\(702\) −50.8090 23.2037i −0.0723775 0.0330537i
\(703\) 507.022 + 72.8987i 0.721226 + 0.103697i
\(704\) 46.3865 + 72.1789i 0.0658900 + 0.102527i
\(705\) 640.977 1521.19i 0.909188 2.15772i
\(706\) 89.7780 + 624.420i 0.127164 + 0.884447i
\(707\) 315.730 + 364.372i 0.446577 + 0.515377i
\(708\) −349.642 + 544.053i −0.493844 + 0.768436i
\(709\) 880.124 + 762.631i 1.24136 + 1.07564i 0.994297 + 0.106644i \(0.0340105\pi\)
0.247062 + 0.969000i \(0.420535\pi\)
\(710\) −404.059 + 70.3626i −0.569097 + 0.0991023i
\(711\) −1443.59 + 659.265i −2.03036 + 0.927236i
\(712\) 382.723 0.537532
\(713\) 32.5555 + 653.943i 0.0456598 + 0.917171i
\(714\) 350.871 0.491416
\(715\) −403.148 + 131.459i −0.563843 + 0.183859i
\(716\) −622.943 + 182.913i −0.870033 + 0.255465i
\(717\) −621.060 538.151i −0.866192 0.750560i
\(718\) 320.240 + 205.806i 0.446016 + 0.286637i
\(719\) −335.702 387.421i −0.466902 0.538834i 0.472645 0.881253i \(-0.343299\pi\)
−0.939547 + 0.342419i \(0.888754\pi\)
\(720\) −202.744 + 6.00519i −0.281589 + 0.00834054i
\(721\) 347.306 + 101.978i 0.481700 + 0.141440i
\(722\) −134.731 209.645i −0.186608 0.290367i
\(723\) 166.097 1155.23i 0.229733 1.59783i
\(724\) −47.5654 21.7224i −0.0656981 0.0300033i
\(725\) −509.938 + 664.182i −0.703363 + 0.916113i
\(726\) −5.26267 + 36.6027i −0.00724886 + 0.0504169i
\(727\) −507.937 + 326.431i −0.698675 + 0.449011i −0.841160 0.540786i \(-0.818127\pi\)
0.142486 + 0.989797i \(0.454491\pi\)
\(728\) 124.886 + 36.6700i 0.171547 + 0.0503708i
\(729\) −128.187 891.559i −0.175839 1.22299i
\(730\) 205.861 141.082i 0.282001 0.193262i
\(731\) −213.944 137.494i −0.292674 0.188090i
\(732\) 109.811 126.729i 0.150015 0.173127i
\(733\) −766.844 + 225.166i −1.04617 + 0.307184i −0.759270 0.650776i \(-0.774444\pi\)
−0.286902 + 0.957960i \(0.592625\pi\)
\(734\) 612.994 279.945i 0.835141 0.381396i
\(735\) 328.936 + 37.3916i 0.447532 + 0.0508730i
\(736\) 80.2079 102.444i 0.108978 0.139190i
\(737\) 946.834i 1.28471i
\(738\) 416.191 190.068i 0.563945 0.257545i
\(739\) 289.953 85.1379i 0.392359 0.115207i −0.0796016 0.996827i \(-0.525365\pi\)
0.471960 + 0.881620i \(0.343547\pi\)
\(740\) 255.089 + 277.352i 0.344715 + 0.374800i
\(741\) −254.258 + 395.634i −0.343129 + 0.533919i
\(742\) −205.583 + 178.139i −0.277066 + 0.240079i
\(743\) 77.4301 + 538.538i 0.104213 + 0.724816i 0.973197 + 0.229975i \(0.0738645\pi\)
−0.868984 + 0.494841i \(0.835226\pi\)
\(744\) −338.007 99.2479i −0.454311 0.133398i
\(745\) −123.818 + 61.0390i −0.166199 + 0.0819316i
\(746\) −653.567 93.9688i −0.876096 0.125964i
\(747\) 385.708 844.583i 0.516343 1.13063i
\(748\) 190.128 + 86.8287i 0.254182 + 0.116081i
\(749\) 153.064 1064.58i 0.204357 1.42134i
\(750\) −177.551 752.763i −0.236735 1.00368i
\(751\) −289.298 + 985.260i −0.385218 + 1.31193i 0.507631 + 0.861574i \(0.330521\pi\)
−0.892849 + 0.450356i \(0.851297\pi\)
\(752\) −298.766 + 42.9560i −0.397295 + 0.0571224i
\(753\) 954.075 + 1101.06i 1.26703 + 1.46223i
\(754\) 315.107 + 202.507i 0.417914 + 0.268577i
\(755\) 647.587 + 704.105i 0.857730 + 0.932590i
\(756\) −16.3783 55.7794i −0.0216644 0.0737822i
\(757\) −320.582 701.977i −0.423490 0.927314i −0.994339 0.106259i \(-0.966113\pi\)
0.570848 0.821056i \(-0.306614\pi\)
\(758\) 126.573 0.166982
\(759\) −1059.28 + 206.514i −1.39562 + 0.272087i
\(760\) −21.7132 + 191.012i −0.0285700 + 0.251331i
\(761\) 577.167 + 1263.82i 0.758432 + 1.66073i 0.750593 + 0.660765i \(0.229768\pi\)
0.00783919 + 0.999969i \(0.497505\pi\)
\(762\) 34.7306 + 118.282i 0.0455782 + 0.155225i
\(763\) 111.925 + 96.9834i 0.146690 + 0.127108i
\(764\) 399.366 621.425i 0.522730 0.813383i
\(765\) −407.592 + 279.333i −0.532800 + 0.365142i
\(766\) −476.506 + 68.5113i −0.622071 + 0.0894403i
\(767\) −164.655 + 560.764i −0.214674 + 0.731113i
\(768\) 37.8459 + 58.8893i 0.0492785 + 0.0766788i
\(769\) −805.327 115.789i −1.04724 0.150570i −0.402848 0.915267i \(-0.631980\pi\)
−0.644391 + 0.764696i \(0.722889\pi\)
\(770\) −378.172 227.504i −0.491132 0.295460i
\(771\) 73.6458 161.262i 0.0955199 0.209159i
\(772\) 280.955 + 40.3952i 0.363931 + 0.0523254i
\(773\) 1070.71 688.102i 1.38513 0.890171i 0.385661 0.922641i \(-0.373973\pi\)
0.999473 + 0.0324692i