Properties

Label 29.3.f.a.26.2
Level $29$
Weight $3$
Character 29.26
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 26.2
Character \(\chi\) \(=\) 29.26
Dual form 29.3.f.a.19.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.448531 + 0.713833i) q^{2} +(0.187106 + 0.534719i) q^{3} +(1.42716 + 2.96352i) q^{4} +(4.21883 - 0.962920i) q^{5} +(-0.465623 - 0.106276i) q^{6} +(-10.1429 - 4.88457i) q^{7} +(-6.10659 - 0.688048i) q^{8} +(6.78557 - 5.41131i) q^{9} +O(q^{10})\) \(q+(-0.448531 + 0.713833i) q^{2} +(0.187106 + 0.534719i) q^{3} +(1.42716 + 2.96352i) q^{4} +(4.21883 - 0.962920i) q^{5} +(-0.465623 - 0.106276i) q^{6} +(-10.1429 - 4.88457i) q^{7} +(-6.10659 - 0.688048i) q^{8} +(6.78557 - 5.41131i) q^{9} +(-1.20491 + 3.44344i) q^{10} +(1.54207 - 0.173749i) q^{11} +(-1.31762 + 1.31762i) q^{12} +(-11.3208 - 9.02803i) q^{13} +(8.03618 - 5.04946i) q^{14} +(1.30426 + 2.07572i) q^{15} +(-4.97314 + 6.23612i) q^{16} +(16.8448 + 16.8448i) q^{17} +(0.819234 + 7.27090i) q^{18} +(0.448791 + 0.157039i) q^{19} +(8.87457 + 11.1284i) q^{20} +(0.714070 - 6.33754i) q^{21} +(-0.567637 + 1.17871i) q^{22} +(1.55197 - 6.79962i) q^{23} +(-0.774670 - 3.39405i) q^{24} +(-5.65292 + 2.72230i) q^{25} +(11.5222 - 4.03180i) q^{26} +(8.48025 + 5.32850i) q^{27} -37.0298i q^{28} +(-20.2766 + 20.7330i) q^{29} -2.06672 q^{30} +(-7.88671 + 12.5516i) q^{31} +(-10.3395 - 29.5486i) q^{32} +(0.381437 + 0.792063i) q^{33} +(-19.5798 + 4.46896i) q^{34} +(-47.4946 - 10.8403i) q^{35} +(25.7206 + 12.3864i) q^{36} +(26.2932 + 2.96253i) q^{37} +(-0.313396 + 0.249925i) q^{38} +(2.70927 - 7.74264i) q^{39} +(-26.4252 + 2.97741i) q^{40} +(46.1225 - 46.1225i) q^{41} +(4.20367 + 3.35231i) q^{42} +(-53.7324 + 33.7623i) q^{43} +(2.71568 + 4.32198i) q^{44} +(23.4165 - 29.3633i) q^{45} +(4.15769 + 4.15769i) q^{46} +(5.72285 + 50.7917i) q^{47} +(-4.26508 - 1.49242i) q^{48} +(48.4686 + 60.7777i) q^{49} +(0.592241 - 5.25628i) q^{50} +(-5.85548 + 12.1590i) q^{51} +(10.5982 - 46.4338i) q^{52} +(-9.09960 - 39.8680i) q^{53} +(-7.60732 + 3.66349i) q^{54} +(6.33841 - 2.21790i) q^{55} +(58.5778 + 36.8069i) q^{56} +0.269360i q^{57} +(-5.70521 - 23.7735i) q^{58} +23.8690 q^{59} +(-4.29006 + 6.82759i) q^{60} +(23.8851 + 68.2596i) q^{61} +(-5.42233 - 11.2596i) q^{62} +(-95.2573 + 21.7419i) q^{63} +(-5.37487 - 1.22678i) q^{64} +(-56.4537 - 27.1867i) q^{65} +(-0.736487 - 0.0829822i) q^{66} +(89.8491 - 71.6523i) q^{67} +(-25.8798 + 73.9602i) q^{68} +(3.92627 - 0.442385i) q^{69} +(29.0410 - 29.0410i) q^{70} +(-54.7070 - 43.6274i) q^{71} +(-45.1599 + 28.3759i) q^{72} +(-43.5770 - 69.3524i) q^{73} +(-13.9081 + 17.4402i) q^{74} +(-2.51337 - 2.51337i) q^{75} +(0.175107 + 1.55412i) q^{76} +(-16.4897 - 5.77000i) q^{77} +(4.31177 + 5.40678i) q^{78} +(12.9255 - 114.717i) q^{79} +(-14.9759 + 31.0978i) q^{80} +(16.1189 - 70.6216i) q^{81} +(12.2364 + 53.6111i) q^{82} +(-1.11626 + 0.537563i) q^{83} +(19.8005 - 6.92851i) q^{84} +(87.2856 + 54.8452i) q^{85} -53.4995i q^{86} +(-14.8802 - 6.96303i) q^{87} -9.53632 q^{88} +(-35.1684 + 55.9701i) q^{89} +(10.4575 + 29.8858i) q^{90} +(70.7277 + 146.868i) q^{91} +(22.3657 - 5.10483i) q^{92} +(-8.18725 - 1.86869i) q^{93} +(-38.8237 - 18.6965i) q^{94} +(2.04459 + 0.230370i) q^{95} +(13.8656 - 11.0575i) q^{96} +(-26.0062 + 74.3215i) q^{97} +(-65.1248 + 7.33780i) q^{98} +(9.52358 - 9.52358i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{19}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.448531 + 0.713833i −0.224266 + 0.356917i −0.939837 0.341623i \(-0.889023\pi\)
0.715572 + 0.698539i \(0.246166\pi\)
\(3\) 0.187106 + 0.534719i 0.0623688 + 0.178240i 0.970851 0.239684i \(-0.0770437\pi\)
−0.908482 + 0.417923i \(0.862758\pi\)
\(4\) 1.42716 + 2.96352i 0.356789 + 0.740881i
\(5\) 4.21883 0.962920i 0.843766 0.192584i 0.221275 0.975211i \(-0.428978\pi\)
0.622490 + 0.782627i \(0.286121\pi\)
\(6\) −0.465623 0.106276i −0.0776039 0.0177126i
\(7\) −10.1429 4.88457i −1.44899 0.697795i −0.466568 0.884485i \(-0.654510\pi\)
−0.982419 + 0.186690i \(0.940224\pi\)
\(8\) −6.10659 0.688048i −0.763324 0.0860060i
\(9\) 6.78557 5.41131i 0.753952 0.601257i
\(10\) −1.20491 + 3.44344i −0.120491 + 0.344344i
\(11\) 1.54207 0.173749i 0.140188 0.0157954i −0.0415917 0.999135i \(-0.513243\pi\)
0.181780 + 0.983339i \(0.441814\pi\)
\(12\) −1.31762 + 1.31762i −0.109802 + 0.109802i
\(13\) −11.3208 9.02803i −0.870830 0.694464i 0.0824361 0.996596i \(-0.473730\pi\)
−0.953266 + 0.302133i \(0.902301\pi\)
\(14\) 8.03618 5.04946i 0.574013 0.360676i
\(15\) 1.30426 + 2.07572i 0.0869508 + 0.138381i
\(16\) −4.97314 + 6.23612i −0.310821 + 0.389757i
\(17\) 16.8448 + 16.8448i 0.990872 + 0.990872i 0.999959 0.00908711i \(-0.00289256\pi\)
−0.00908711 + 0.999959i \(0.502893\pi\)
\(18\) 0.819234 + 7.27090i 0.0455130 + 0.403939i
\(19\) 0.448791 + 0.157039i 0.0236206 + 0.00826520i 0.342064 0.939677i \(-0.388874\pi\)
−0.318443 + 0.947942i \(0.603160\pi\)
\(20\) 8.87457 + 11.1284i 0.443728 + 0.556418i
\(21\) 0.714070 6.33754i 0.0340033 0.301788i
\(22\) −0.567637 + 1.17871i −0.0258017 + 0.0535777i
\(23\) 1.55197 6.79962i 0.0674769 0.295636i −0.929918 0.367766i \(-0.880123\pi\)
0.997395 + 0.0721306i \(0.0229798\pi\)
\(24\) −0.774670 3.39405i −0.0322779 0.141419i
\(25\) −5.65292 + 2.72230i −0.226117 + 0.108892i
\(26\) 11.5222 4.03180i 0.443163 0.155069i
\(27\) 8.48025 + 5.32850i 0.314083 + 0.197352i
\(28\) 37.0298i 1.32249i
\(29\) −20.2766 + 20.7330i −0.699195 + 0.714931i
\(30\) −2.06672 −0.0688907
\(31\) −7.88671 + 12.5516i −0.254410 + 0.404891i −0.949371 0.314156i \(-0.898279\pi\)
0.694962 + 0.719047i \(0.255421\pi\)
\(32\) −10.3395 29.5486i −0.323110 0.923394i
\(33\) 0.381437 + 0.792063i 0.0115587 + 0.0240019i
\(34\) −19.5798 + 4.46896i −0.575877 + 0.131440i
\(35\) −47.4946 10.8403i −1.35699 0.309724i
\(36\) 25.7206 + 12.3864i 0.714461 + 0.344066i
\(37\) 26.2932 + 2.96253i 0.710627 + 0.0800685i 0.459876 0.887983i \(-0.347894\pi\)
0.250751 + 0.968052i \(0.419322\pi\)
\(38\) −0.313396 + 0.249925i −0.00824727 + 0.00657698i
\(39\) 2.70927 7.74264i 0.0694684 0.198529i
\(40\) −26.4252 + 2.97741i −0.660630 + 0.0744351i
\(41\) 46.1225 46.1225i 1.12494 1.12494i 0.133950 0.990988i \(-0.457234\pi\)
0.990988 0.133950i \(-0.0427662\pi\)
\(42\) 4.20367 + 3.35231i 0.100087 + 0.0798169i
\(43\) −53.7324 + 33.7623i −1.24959 + 0.785170i −0.983871 0.178880i \(-0.942753\pi\)
−0.265721 + 0.964050i \(0.585610\pi\)
\(44\) 2.71568 + 4.32198i 0.0617200 + 0.0982268i
\(45\) 23.4165 29.3633i 0.520366 0.652519i
\(46\) 4.15769 + 4.15769i 0.0903845 + 0.0903845i
\(47\) 5.72285 + 50.7917i 0.121763 + 1.08067i 0.894848 + 0.446372i \(0.147284\pi\)
−0.773085 + 0.634302i \(0.781287\pi\)
\(48\) −4.26508 1.49242i −0.0888558 0.0310920i
\(49\) 48.4686 + 60.7777i 0.989155 + 1.24036i
\(50\) 0.592241 5.25628i 0.0118448 0.105126i
\(51\) −5.85548 + 12.1590i −0.114813 + 0.238412i
\(52\) 10.5982 46.4338i 0.203812 0.892958i
\(53\) −9.09960 39.8680i −0.171691 0.752226i −0.985303 0.170818i \(-0.945359\pi\)
0.813612 0.581408i \(-0.197498\pi\)
\(54\) −7.60732 + 3.66349i −0.140876 + 0.0678424i
\(55\) 6.33841 2.21790i 0.115244 0.0403255i
\(56\) 58.5778 + 36.8069i 1.04603 + 0.657265i
\(57\) 0.269360i 0.00472562i
\(58\) −5.70521 23.7735i −0.0983656 0.409889i
\(59\) 23.8690 0.404559 0.202280 0.979328i \(-0.435165\pi\)
0.202280 + 0.979328i \(0.435165\pi\)
\(60\) −4.29006 + 6.82759i −0.0715010 + 0.113793i
\(61\) 23.8851 + 68.2596i 0.391559 + 1.11901i 0.955957 + 0.293507i \(0.0948225\pi\)
−0.564398 + 0.825503i \(0.690892\pi\)
\(62\) −5.42233 11.2596i −0.0874569 0.181606i
\(63\) −95.2573 + 21.7419i −1.51202 + 0.345109i
\(64\) −5.37487 1.22678i −0.0839824 0.0191684i
\(65\) −56.4537 27.1867i −0.868519 0.418257i
\(66\) −0.736487 0.0829822i −0.0111589 0.00125731i
\(67\) 89.8491 71.6523i 1.34103 1.06944i 0.349866 0.936800i \(-0.386227\pi\)
0.991165 0.132637i \(-0.0423445\pi\)
\(68\) −25.8798 + 73.9602i −0.380585 + 1.08765i
\(69\) 3.92627 0.442385i 0.0569025 0.00641137i
\(70\) 29.0410 29.0410i 0.414872 0.414872i
\(71\) −54.7070 43.6274i −0.770521 0.614470i 0.157276 0.987555i \(-0.449729\pi\)
−0.927797 + 0.373085i \(0.878300\pi\)
\(72\) −45.1599 + 28.3759i −0.627221 + 0.394109i
\(73\) −43.5770 69.3524i −0.596945 0.950032i −0.999401 0.0345932i \(-0.988986\pi\)
0.402457 0.915439i \(-0.368156\pi\)
\(74\) −13.9081 + 17.4402i −0.187947 + 0.235678i
\(75\) −2.51337 2.51337i −0.0335116 0.0335116i
\(76\) 0.175107 + 1.55412i 0.00230405 + 0.0204490i
\(77\) −16.4897 5.77000i −0.214152 0.0749351i
\(78\) 4.31177 + 5.40678i 0.0552790 + 0.0693177i
\(79\) 12.9255 114.717i 0.163613 1.45211i −0.596653 0.802499i \(-0.703503\pi\)
0.760267 0.649611i \(-0.225068\pi\)
\(80\) −14.9759 + 31.0978i −0.187199 + 0.388723i
\(81\) 16.1189 70.6216i 0.198999 0.871872i
\(82\) 12.2364 + 53.6111i 0.149224 + 0.653794i
\(83\) −1.11626 + 0.537563i −0.0134489 + 0.00647666i −0.440596 0.897705i \(-0.645233\pi\)
0.427147 + 0.904182i \(0.359519\pi\)
\(84\) 19.8005 6.92851i 0.235721 0.0824823i
\(85\) 87.2856 + 54.8452i 1.02689 + 0.645237i
\(86\) 53.4995i 0.622087i
\(87\) −14.8802 6.96303i −0.171037 0.0800349i
\(88\) −9.53632 −0.108367
\(89\) −35.1684 + 55.9701i −0.395150 + 0.628878i −0.983749 0.179547i \(-0.942537\pi\)
0.588599 + 0.808425i \(0.299680\pi\)
\(90\) 10.4575 + 29.8858i 0.116195 + 0.332065i
\(91\) 70.7277 + 146.868i 0.777227 + 1.61393i
\(92\) 22.3657 5.10483i 0.243106 0.0554873i
\(93\) −8.18725 1.86869i −0.0880349 0.0200934i
\(94\) −38.8237 18.6965i −0.413018 0.198899i
\(95\) 2.04459 + 0.230370i 0.0215220 + 0.00242495i
\(96\) 13.8656 11.0575i 0.144434 0.115182i
\(97\) −26.0062 + 74.3215i −0.268105 + 0.766201i 0.728588 + 0.684952i \(0.240177\pi\)
−0.996694 + 0.0812495i \(0.974109\pi\)
\(98\) −65.1248 + 7.33780i −0.664539 + 0.0748755i
\(99\) 9.52358 9.52358i 0.0961978 0.0961978i
\(100\) −16.1352 12.8674i −0.161352 0.128674i
\(101\) 71.2798 44.7881i 0.705741 0.443446i −0.130759 0.991414i \(-0.541741\pi\)
0.836499 + 0.547968i \(0.184598\pi\)
\(102\) −6.05315 9.63353i −0.0593446 0.0944464i
\(103\) 30.3804 38.0958i 0.294955 0.369862i −0.612168 0.790728i \(-0.709702\pi\)
0.907123 + 0.420866i \(0.138274\pi\)
\(104\) 62.9197 + 62.9197i 0.604997 + 0.604997i
\(105\) −3.09001 27.4246i −0.0294287 0.261187i
\(106\) 32.5405 + 11.3864i 0.306986 + 0.107419i
\(107\) 83.6309 + 104.870i 0.781597 + 0.980092i 0.999991 + 0.00423133i \(0.00134688\pi\)
−0.218394 + 0.975861i \(0.570082\pi\)
\(108\) −3.68846 + 32.7360i −0.0341525 + 0.303111i
\(109\) 8.81881 18.3125i 0.0809066 0.168004i −0.856591 0.515996i \(-0.827422\pi\)
0.937498 + 0.347992i \(0.113136\pi\)
\(110\) −1.25976 + 5.51936i −0.0114524 + 0.0501760i
\(111\) 3.33550 + 14.6138i 0.0300496 + 0.131656i
\(112\) 80.9028 38.9607i 0.722347 0.347864i
\(113\) 22.6341 7.92002i 0.200302 0.0700886i −0.228264 0.973599i \(-0.573305\pi\)
0.428566 + 0.903511i \(0.359019\pi\)
\(114\) −0.192278 0.120816i −0.00168665 0.00105979i
\(115\) 30.1808i 0.262442i
\(116\) −90.3807 30.5010i −0.779144 0.262940i
\(117\) −125.671 −1.07411
\(118\) −10.7060 + 17.0385i −0.0907287 + 0.144394i
\(119\) −88.5758 253.135i −0.744334 2.12719i
\(120\) −6.53640 13.5730i −0.0544700 0.113108i
\(121\) −115.618 + 26.3892i −0.955525 + 0.218092i
\(122\) −59.4392 13.5666i −0.487206 0.111202i
\(123\) 33.2924 + 16.0328i 0.270670 + 0.130348i
\(124\) −48.4526 5.45930i −0.390747 0.0440266i
\(125\) −105.808 + 84.3793i −0.846466 + 0.675034i
\(126\) 27.2058 77.7497i 0.215919 0.617061i
\(127\) −8.21611 + 0.925733i −0.0646938 + 0.00728924i −0.144252 0.989541i \(-0.546078\pi\)
0.0795583 + 0.996830i \(0.474649\pi\)
\(128\) 91.8315 91.8315i 0.717433 0.717433i
\(129\) −28.1071 22.4146i −0.217884 0.173757i
\(130\) 44.7280 28.1045i 0.344062 0.216188i
\(131\) 127.911 + 203.569i 0.976419 + 1.55396i 0.824725 + 0.565534i \(0.191330\pi\)
0.151694 + 0.988428i \(0.451527\pi\)
\(132\) −1.80293 + 2.26080i −0.0136585 + 0.0171273i
\(133\) −3.78498 3.78498i −0.0284585 0.0284585i
\(134\) 10.8476 + 96.2755i 0.0809526 + 0.718474i
\(135\) 40.9077 + 14.3142i 0.303020 + 0.106031i
\(136\) −91.2744 114.454i −0.671135 0.841577i
\(137\) 4.55051 40.3869i 0.0332154 0.294795i −0.966112 0.258123i \(-0.916896\pi\)
0.999327 0.0366716i \(-0.0116756\pi\)
\(138\) −1.44527 + 3.00113i −0.0104729 + 0.0217473i
\(139\) −12.4270 + 54.4464i −0.0894032 + 0.391701i −0.999755 0.0221342i \(-0.992954\pi\)
0.910352 + 0.413835i \(0.135811\pi\)
\(140\) −35.6567 156.222i −0.254691 1.11587i
\(141\) −26.0885 + 12.5636i −0.185025 + 0.0891033i
\(142\) 55.6805 19.4834i 0.392116 0.137207i
\(143\) −19.0260 11.9548i −0.133049 0.0836003i
\(144\) 69.2268i 0.480742i
\(145\) −65.5794 + 106.994i −0.452272 + 0.737888i
\(146\) 69.0516 0.472956
\(147\) −23.4302 + 37.2890i −0.159389 + 0.253667i
\(148\) 28.7450 + 82.1485i 0.194223 + 0.555058i
\(149\) −45.3207 94.1095i −0.304166 0.631607i 0.691726 0.722161i \(-0.256851\pi\)
−0.995892 + 0.0905531i \(0.971137\pi\)
\(150\) 2.92145 0.666802i 0.0194763 0.00444534i
\(151\) 40.2640 + 9.18999i 0.266649 + 0.0608609i 0.353755 0.935338i \(-0.384905\pi\)
−0.0871059 + 0.996199i \(0.527762\pi\)
\(152\) −2.63253 1.26776i −0.0173193 0.00834054i
\(153\) 205.454 + 23.1491i 1.34284 + 0.151301i
\(154\) 11.5150 9.18289i 0.0747726 0.0596291i
\(155\) −21.1865 + 60.5474i −0.136687 + 0.390628i
\(156\) 26.8121 3.02099i 0.171872 0.0193653i
\(157\) −57.9484 + 57.9484i −0.369098 + 0.369098i −0.867148 0.498050i \(-0.834050\pi\)
0.498050 + 0.867148i \(0.334050\pi\)
\(158\) 76.0911 + 60.6806i 0.481589 + 0.384055i
\(159\) 19.6156 12.3253i 0.123368 0.0775175i
\(160\) −72.0736 114.704i −0.450460 0.716903i
\(161\) −48.9547 + 61.3872i −0.304066 + 0.381287i
\(162\) 43.1822 + 43.1822i 0.266557 + 0.266557i
\(163\) 0.128402 + 1.13960i 0.000787743 + 0.00699141i 0.994100 0.108468i \(-0.0345945\pi\)
−0.993312 + 0.115459i \(0.963166\pi\)
\(164\) 202.509 + 70.8610i 1.23481 + 0.432079i
\(165\) 2.37191 + 2.97428i 0.0143752 + 0.0180260i
\(166\) 0.116947 1.03794i 0.000704503 0.00625264i
\(167\) 84.8706 176.236i 0.508207 1.05530i −0.476190 0.879342i \(-0.657983\pi\)
0.984397 0.175960i \(-0.0563031\pi\)
\(168\) −8.72106 + 38.2095i −0.0519111 + 0.227437i
\(169\) 9.04891 + 39.6459i 0.0535439 + 0.234591i
\(170\) −78.3006 + 37.7076i −0.460592 + 0.221809i
\(171\) 3.89509 1.36295i 0.0227783 0.00797047i
\(172\) −176.740 111.053i −1.02756 0.645658i
\(173\) 93.9168i 0.542872i 0.962457 + 0.271436i \(0.0874985\pi\)
−0.962457 + 0.271436i \(0.912502\pi\)
\(174\) 11.6447 7.49887i 0.0669235 0.0430969i
\(175\) 70.6344 0.403625
\(176\) −6.58539 + 10.4806i −0.0374170 + 0.0595488i
\(177\) 4.46604 + 12.7632i 0.0252319 + 0.0721086i
\(178\) −24.1792 50.2087i −0.135838 0.282071i
\(179\) 168.864 38.5422i 0.943376 0.215319i 0.276945 0.960886i \(-0.410678\pi\)
0.666431 + 0.745566i \(0.267821\pi\)
\(180\) 120.438 + 27.4892i 0.669100 + 0.152718i
\(181\) −87.2784 42.0311i −0.482201 0.232216i 0.176959 0.984218i \(-0.443374\pi\)
−0.659160 + 0.752002i \(0.729088\pi\)
\(182\) −136.563 15.3869i −0.750344 0.0845434i
\(183\) −32.0307 + 25.5436i −0.175031 + 0.139583i
\(184\) −14.1557 + 40.4547i −0.0769332 + 0.219862i
\(185\) 113.779 12.8198i 0.615023 0.0692964i
\(186\) 5.00617 5.00617i 0.0269149 0.0269149i
\(187\) 28.9026 + 23.0490i 0.154559 + 0.123257i
\(188\) −142.355 + 89.4475i −0.757207 + 0.475785i
\(189\) −59.9870 95.4688i −0.317392 0.505126i
\(190\) −1.08151 + 1.35617i −0.00569214 + 0.00713772i
\(191\) −253.146 253.146i −1.32537 1.32537i −0.909359 0.416013i \(-0.863427\pi\)
−0.416013 0.909359i \(-0.636573\pi\)
\(192\) −0.349690 3.10359i −0.00182130 0.0161645i
\(193\) −281.027 98.3354i −1.45610 0.509510i −0.517848 0.855473i \(-0.673267\pi\)
−0.938248 + 0.345963i \(0.887552\pi\)
\(194\) −41.3886 51.8996i −0.213343 0.267524i
\(195\) 3.97439 35.2737i 0.0203815 0.180891i
\(196\) −110.944 + 230.377i −0.566040 + 1.17539i
\(197\) −30.9336 + 135.529i −0.157024 + 0.687965i 0.833716 + 0.552193i \(0.186209\pi\)
−0.990740 + 0.135773i \(0.956648\pi\)
\(198\) 2.52663 + 11.0699i 0.0127607 + 0.0559084i
\(199\) 10.4281 5.02191i 0.0524025 0.0252357i −0.407499 0.913206i \(-0.633599\pi\)
0.459901 + 0.887970i \(0.347885\pi\)
\(200\) 36.3932 12.7345i 0.181966 0.0636726i
\(201\) 55.1252 + 34.6374i 0.274255 + 0.172326i
\(202\) 70.9707i 0.351340i
\(203\) 306.936 111.250i 1.51200 0.548032i
\(204\) −44.3902 −0.217599
\(205\) 150.171 238.995i 0.732539 1.16583i
\(206\) 13.5675 + 38.7736i 0.0658616 + 0.188222i
\(207\) −26.2639 54.5375i −0.126879 0.263466i
\(208\) 112.600 25.7001i 0.541344 0.123558i
\(209\) 0.719351 + 0.164187i 0.00344187 + 0.000785585i
\(210\) 20.9626 + 10.0950i 0.0998217 + 0.0480716i
\(211\) −138.139 15.5646i −0.654688 0.0737657i −0.221629 0.975131i \(-0.571137\pi\)
−0.433059 + 0.901365i \(0.642566\pi\)
\(212\) 105.163 83.8647i 0.496052 0.395588i
\(213\) 13.0924 37.4158i 0.0614665 0.175661i
\(214\) −112.371 + 12.6611i −0.525096 + 0.0591642i
\(215\) −194.178 + 194.178i −0.903151 + 0.903151i
\(216\) −48.1192 38.3738i −0.222774 0.177656i
\(217\) 141.303 88.7868i 0.651168 0.409156i
\(218\) 9.11653 + 14.5089i 0.0418189 + 0.0665544i
\(219\) 28.9305 36.2777i 0.132103 0.165652i
\(220\) 15.6187 + 15.6187i 0.0709941 + 0.0709941i
\(221\) −38.6211 342.772i −0.174756 1.55100i
\(222\) −11.9279 4.17375i −0.0537292 0.0188007i
\(223\) 71.7315 + 89.9485i 0.321666 + 0.403356i 0.916205 0.400711i \(-0.131237\pi\)
−0.594539 + 0.804067i \(0.702665\pi\)
\(224\) −39.4595 + 350.213i −0.176159 + 1.56345i
\(225\) −23.6271 + 49.0621i −0.105009 + 0.218054i
\(226\) −4.49853 + 19.7094i −0.0199050 + 0.0872095i
\(227\) 50.8656 + 222.857i 0.224077 + 0.981747i 0.954373 + 0.298616i \(0.0965251\pi\)
−0.730296 + 0.683131i \(0.760618\pi\)
\(228\) −0.798255 + 0.384420i −0.00350112 + 0.00168605i
\(229\) −195.058 + 68.2538i −0.851782 + 0.298051i −0.720638 0.693312i \(-0.756151\pi\)
−0.131144 + 0.991363i \(0.541865\pi\)
\(230\) 21.5441 + 13.5370i 0.0936700 + 0.0588567i
\(231\) 9.89698i 0.0428441i
\(232\) 138.086 112.657i 0.595200 0.485589i
\(233\) 186.225 0.799248 0.399624 0.916679i \(-0.369141\pi\)
0.399624 + 0.916679i \(0.369141\pi\)
\(234\) 56.3675 89.7084i 0.240887 0.383369i
\(235\) 73.0520 + 208.771i 0.310860 + 0.888386i
\(236\) 34.0648 + 70.7363i 0.144342 + 0.299730i
\(237\) 63.7597 14.5527i 0.269028 0.0614039i
\(238\) 220.425 + 50.3106i 0.926156 + 0.211389i
\(239\) 144.790 + 69.7270i 0.605814 + 0.291745i 0.711534 0.702651i \(-0.248001\pi\)
−0.105720 + 0.994396i \(0.533715\pi\)
\(240\) −19.4307 2.18932i −0.0809613 0.00912215i
\(241\) −152.244 + 121.410i −0.631717 + 0.503777i −0.886202 0.463300i \(-0.846665\pi\)
0.254485 + 0.967077i \(0.418094\pi\)
\(242\) 33.0210 94.3687i 0.136451 0.389953i
\(243\) 130.350 14.6869i 0.536421 0.0604401i
\(244\) −168.201 + 168.201i −0.689349 + 0.689349i
\(245\) 263.005 + 209.739i 1.07349 + 0.856079i
\(246\) −26.3774 + 16.5740i −0.107225 + 0.0673740i
\(247\) −3.66292 5.82950i −0.0148296 0.0236012i
\(248\) 56.7970 71.2212i 0.229020 0.287182i
\(249\) −0.496305 0.496305i −0.00199319 0.00199319i
\(250\) −12.7744 113.376i −0.0510977 0.453505i
\(251\) −312.227 109.253i −1.24393 0.435270i −0.373532 0.927617i \(-0.621853\pi\)
−0.870399 + 0.492347i \(0.836139\pi\)
\(252\) −200.380 251.268i −0.795157 0.997096i
\(253\) 1.21181 10.7551i 0.00478976 0.0425103i
\(254\) 3.02436 6.28015i 0.0119069 0.0247250i
\(255\) −12.9951 + 56.9352i −0.0509611 + 0.223275i
\(256\) 19.4560 + 85.2421i 0.0759998 + 0.332977i
\(257\) 156.282 75.2612i 0.608099 0.292845i −0.104381 0.994537i \(-0.533286\pi\)
0.712480 + 0.701692i \(0.247572\pi\)
\(258\) 28.6072 10.0101i 0.110881 0.0387988i
\(259\) −252.219 158.480i −0.973818 0.611891i
\(260\) 206.102i 0.792698i
\(261\) −25.3958 + 250.408i −0.0973019 + 0.959419i
\(262\) −202.686 −0.773612
\(263\) −86.5688 + 137.774i −0.329159 + 0.523854i −0.969773 0.244010i \(-0.921537\pi\)
0.640614 + 0.767863i \(0.278680\pi\)
\(264\) −1.78431 5.09925i −0.00675873 0.0193154i
\(265\) −76.7793 159.434i −0.289733 0.601637i
\(266\) 4.39953 1.00416i 0.0165396 0.00377505i
\(267\) −36.5085 8.33284i −0.136736 0.0312091i
\(268\) 340.572 + 164.011i 1.27079 + 0.611980i
\(269\) 29.2546 + 3.29620i 0.108753 + 0.0122535i 0.166173 0.986097i \(-0.446859\pi\)
−0.0574202 + 0.998350i \(0.518287\pi\)
\(270\) −28.5663 + 22.7809i −0.105801 + 0.0843736i
\(271\) 168.083 480.355i 0.620234 1.77253i −0.0146174 0.999893i \(-0.504653\pi\)
0.634852 0.772634i \(-0.281061\pi\)
\(272\) −188.818 + 21.2747i −0.694183 + 0.0782157i
\(273\) −65.2993 + 65.2993i −0.239192 + 0.239192i
\(274\) 26.7885 + 21.3631i 0.0977682 + 0.0779675i
\(275\) −8.24418 + 5.18016i −0.0299789 + 0.0188370i
\(276\) 6.91442 + 11.0042i 0.0250523 + 0.0398704i
\(277\) −130.918 + 164.166i −0.472629 + 0.592657i −0.959813 0.280642i \(-0.909453\pi\)
0.487184 + 0.873299i \(0.338024\pi\)
\(278\) −33.2918 33.2918i −0.119755 0.119755i
\(279\) 14.4049 + 127.847i 0.0516306 + 0.458234i
\(280\) 282.572 + 98.8761i 1.00918 + 0.353129i
\(281\) −287.055 359.956i −1.02155 1.28098i −0.959140 0.282931i \(-0.908693\pi\)
−0.0624084 0.998051i \(-0.519878\pi\)
\(282\) 2.73322 24.2580i 0.00969227 0.0860213i
\(283\) 194.833 404.574i 0.688455 1.42959i −0.204237 0.978922i \(-0.565471\pi\)
0.892691 0.450669i \(-0.148815\pi\)
\(284\) 51.2152 224.389i 0.180335 0.790101i
\(285\) 0.259372 + 1.13638i 0.000910079 + 0.00398732i
\(286\) 17.0675 8.21928i 0.0596766 0.0287388i
\(287\) −693.104 + 242.528i −2.41500 + 0.845044i
\(288\) −230.056 144.554i −0.798806 0.501923i
\(289\) 278.496i 0.963653i
\(290\) −46.9613 94.8028i −0.161936 0.326906i
\(291\) −44.6071 −0.153289
\(292\) 143.336 228.118i 0.490877 0.781226i
\(293\) 37.1090 + 106.051i 0.126652 + 0.361950i 0.989697 0.143176i \(-0.0457316\pi\)
−0.863045 + 0.505126i \(0.831446\pi\)
\(294\) −16.1089 33.4505i −0.0547923 0.113777i
\(295\) 100.699 22.9839i 0.341353 0.0779117i
\(296\) −158.524 36.1820i −0.535553 0.122236i
\(297\) 14.0029 + 6.74346i 0.0471479 + 0.0227052i
\(298\) 87.5063 + 9.85959i 0.293645 + 0.0330859i
\(299\) −78.9566 + 62.9658i −0.264069 + 0.210588i
\(300\) 3.86145 11.0354i 0.0128715 0.0367846i
\(301\) 709.918 79.9885i 2.35853 0.265743i
\(302\) −24.6198 + 24.6198i −0.0815224 + 0.0815224i
\(303\) 37.2860 + 29.7346i 0.123056 + 0.0981339i
\(304\) −3.21121 + 2.01774i −0.0105632 + 0.00663730i
\(305\) 166.496 + 264.976i 0.545887 + 0.868774i
\(306\) −108.677 + 136.277i −0.355154 + 0.445349i
\(307\) 131.221 + 131.221i 0.427429 + 0.427429i 0.887752 0.460323i \(-0.152266\pi\)
−0.460323 + 0.887752i \(0.652266\pi\)
\(308\) −6.43389 57.1024i −0.0208893 0.185397i
\(309\) 26.0549 + 9.11700i 0.0843201 + 0.0295049i
\(310\) −33.7180 42.2810i −0.108768 0.136390i
\(311\) −56.3391 + 500.023i −0.181155 + 1.60779i 0.493560 + 0.869712i \(0.335695\pi\)
−0.674714 + 0.738079i \(0.735733\pi\)
\(312\) −21.8717 + 45.4171i −0.0701016 + 0.145568i
\(313\) −36.9386 + 161.838i −0.118015 + 0.517056i 0.881018 + 0.473082i \(0.156859\pi\)
−0.999033 + 0.0439731i \(0.985998\pi\)
\(314\) −15.3738 67.3572i −0.0489613 0.214513i
\(315\) −380.938 + 183.450i −1.20933 + 0.582382i
\(316\) 358.412 125.414i 1.13422 0.396879i
\(317\) 16.0893 + 10.1096i 0.0507550 + 0.0318915i 0.557171 0.830398i \(-0.311887\pi\)
−0.506416 + 0.862290i \(0.669030\pi\)
\(318\) 19.5305i 0.0614167i
\(319\) −27.6656 + 35.4947i −0.0867260 + 0.111269i
\(320\) −23.8570 −0.0745530
\(321\) −40.4281 + 64.3409i −0.125944 + 0.200439i
\(322\) −21.8625 62.4795i −0.0678961 0.194036i
\(323\) 4.91451 + 10.2051i 0.0152152 + 0.0315947i
\(324\) 232.293 53.0194i 0.716954 0.163640i
\(325\) 88.5726 + 20.2161i 0.272531 + 0.0622034i
\(326\) −0.871077 0.419489i −0.00267202 0.00128677i
\(327\) 11.4421 + 1.28921i 0.0349911 + 0.00394255i
\(328\) −313.386 + 249.917i −0.955444 + 0.761941i
\(329\) 190.049 543.129i 0.577657 1.65085i
\(330\) −3.18702 + 0.359091i −0.00965763 + 0.00108815i
\(331\) −34.0680 + 34.0680i −0.102924 + 0.102924i −0.756694 0.653769i \(-0.773187\pi\)
0.653769 + 0.756694i \(0.273187\pi\)
\(332\) −3.18616 2.54088i −0.00959686 0.00765324i
\(333\) 194.446 122.178i 0.583921 0.366902i
\(334\) 87.7357 + 139.631i 0.262682 + 0.418056i
\(335\) 310.062 388.806i 0.925560 1.16062i
\(336\) 35.9705 + 35.9705i 0.107055 + 0.107055i
\(337\) 24.9408 + 221.356i 0.0740083 + 0.656841i 0.974876 + 0.222748i \(0.0715027\pi\)
−0.900868 + 0.434093i \(0.857069\pi\)
\(338\) −32.3593 11.3230i −0.0957375 0.0335000i
\(339\) 8.46997 + 10.6210i 0.0249852 + 0.0313304i
\(340\) −37.9646 + 336.946i −0.111661 + 0.991016i
\(341\) −9.98099 + 20.7257i −0.0292698 + 0.0607793i
\(342\) −0.774149 + 3.39177i −0.00226359 + 0.00991745i
\(343\) −71.9903 315.410i −0.209884 0.919563i
\(344\) 351.352 169.202i 1.02137 0.491867i
\(345\) 16.1383 5.64703i 0.0467776 0.0163682i
\(346\) −67.0409 42.1246i −0.193760 0.121747i
\(347\) 400.531i 1.15427i 0.816649 + 0.577134i \(0.195829\pi\)
−0.816649 + 0.577134i \(0.804171\pi\)
\(348\) −0.601320 54.0353i −0.00172793 0.155274i
\(349\) 191.095 0.547550 0.273775 0.961794i \(-0.411728\pi\)
0.273775 + 0.961794i \(0.411728\pi\)
\(350\) −31.6817 + 50.4212i −0.0905192 + 0.144060i
\(351\) −47.8973 136.883i −0.136460 0.389979i
\(352\) −21.0782 43.7694i −0.0598814 0.124345i
\(353\) 170.891 39.0048i 0.484111 0.110495i 0.0265018 0.999649i \(-0.491563\pi\)
0.457609 + 0.889154i \(0.348706\pi\)
\(354\) −11.1140 2.53669i −0.0313954 0.00716579i
\(355\) −272.809 131.378i −0.768476 0.370079i
\(356\) −216.060 24.3441i −0.606909 0.0683822i
\(357\) 118.783 94.7264i 0.332726 0.265340i
\(358\) −48.2282 + 137.828i −0.134716 + 0.384995i
\(359\) −302.179 + 34.0473i −0.841723 + 0.0948394i −0.522288 0.852769i \(-0.674922\pi\)
−0.319435 + 0.947608i \(0.603493\pi\)
\(360\) −163.198 + 163.198i −0.453329 + 0.453329i
\(361\) −282.064 224.939i −0.781342 0.623099i
\(362\) 69.1502 43.4500i 0.191023 0.120028i
\(363\) −35.7438 56.8859i −0.0984677 0.156710i
\(364\) −334.306 + 419.206i −0.918423 + 1.15167i
\(365\) −250.625 250.625i −0.686643 0.686643i
\(366\) −3.86712 34.3217i −0.0105659 0.0937751i
\(367\) 102.535 + 35.8787i 0.279388 + 0.0977622i 0.466336 0.884608i \(-0.345574\pi\)
−0.186948 + 0.982370i \(0.559860\pi\)
\(368\) 34.6851 + 43.4937i 0.0942529 + 0.118189i
\(369\) 63.3842 562.550i 0.171773 1.52453i
\(370\) −41.8823 + 86.9695i −0.113195 + 0.235053i
\(371\) −102.441 + 448.825i −0.276122 + 1.20977i
\(372\) −6.14660 26.9300i −0.0165231 0.0723925i
\(373\) −391.003 + 188.297i −1.04826 + 0.504818i −0.877042 0.480414i \(-0.840486\pi\)
−0.171223 + 0.985232i \(0.554772\pi\)
\(374\) −29.4169 + 10.2934i −0.0786548 + 0.0275225i
\(375\) −64.9167 40.7898i −0.173111 0.108773i
\(376\) 314.102i 0.835377i
\(377\) 416.726 51.6559i 1.10537 0.137018i
\(378\) 95.0549 0.251468
\(379\) 146.333 232.888i 0.386104 0.614481i −0.595963 0.803012i \(-0.703230\pi\)
0.982067 + 0.188530i \(0.0603724\pi\)
\(380\) 2.23524 + 6.38796i 0.00588222 + 0.0168104i
\(381\) −2.03229 4.22010i −0.00533410 0.0110764i
\(382\) 294.248 67.1601i 0.770282 0.175812i
\(383\) −213.072 48.6323i −0.556323 0.126977i −0.0648901 0.997892i \(-0.520670\pi\)
−0.491433 + 0.870915i \(0.663527\pi\)
\(384\) 66.2863 + 31.9218i 0.172621 + 0.0831297i
\(385\) −75.1234 8.46437i −0.195126 0.0219854i
\(386\) 196.244 156.500i 0.508405 0.405439i
\(387\) −181.907 + 519.859i −0.470043 + 1.34331i
\(388\) −257.368 + 28.9985i −0.663321 + 0.0747383i
\(389\) 25.9695 25.9695i 0.0667597 0.0667597i −0.672939 0.739698i \(-0.734968\pi\)
0.739698 + 0.672939i \(0.234968\pi\)
\(390\) 23.3969 + 18.6584i 0.0599920 + 0.0478421i
\(391\) 140.681 88.3957i 0.359798 0.226076i
\(392\) −254.160 404.493i −0.648367 1.03187i
\(393\) −84.9193 + 106.485i −0.216080 + 0.270955i
\(394\) −82.8705 82.8705i −0.210331 0.210331i
\(395\) −55.9327 496.416i −0.141602 1.25675i
\(396\) 41.8150 + 14.6317i 0.105593 + 0.0369487i
\(397\) 83.6502 + 104.894i 0.210706 + 0.264217i 0.875942 0.482416i \(-0.160241\pi\)
−0.665236 + 0.746633i \(0.731669\pi\)
\(398\) −1.09252 + 9.69641i −0.00274503 + 0.0243628i
\(399\) 1.31571 2.73210i 0.00329751 0.00684736i
\(400\) 11.1362 48.7907i 0.0278404 0.121977i
\(401\) 105.732 + 463.241i 0.263670 + 1.15521i 0.917236 + 0.398345i \(0.130415\pi\)
−0.653566 + 0.756870i \(0.726728\pi\)
\(402\) −49.4507 + 23.8142i −0.123012 + 0.0592393i
\(403\) 202.600 70.8928i 0.502730 0.175913i
\(404\) 234.458 + 147.320i 0.580342 + 0.364653i
\(405\) 313.462i 0.773980i
\(406\) −58.2561 + 269.000i −0.143488 + 0.662562i
\(407\) 41.0606 0.100886
\(408\) 44.1230 70.2213i 0.108145 0.172111i
\(409\) 9.65215 + 27.5843i 0.0235994 + 0.0674432i 0.955080 0.296347i \(-0.0957684\pi\)
−0.931481 + 0.363790i \(0.881483\pi\)
\(410\) 103.246 + 214.393i 0.251821 + 0.522911i
\(411\) 22.4471 5.12340i 0.0546158 0.0124657i
\(412\) 156.255 + 35.6642i 0.379260 + 0.0865637i
\(413\) −242.101 116.590i −0.586201 0.282300i
\(414\) 50.7108 + 5.71374i 0.122490 + 0.0138013i
\(415\) −4.19168 + 3.34275i −0.0101004 + 0.00805483i
\(416\) −149.714 + 427.859i −0.359890 + 1.02851i
\(417\) −31.4387 + 3.54230i −0.0753927 + 0.00849471i
\(418\) −0.439854 + 0.439854i −0.00105228 + 0.00105228i
\(419\) 173.110 + 138.050i 0.413149 + 0.329476i 0.807907 0.589309i \(-0.200600\pi\)
−0.394758 + 0.918785i \(0.629172\pi\)
\(420\) 76.8635 48.2965i 0.183008 0.114992i
\(421\) 65.2084 + 103.779i 0.154889 + 0.246505i 0.915150 0.403113i \(-0.132072\pi\)
−0.760261 + 0.649618i \(0.774929\pi\)
\(422\) 73.0702 91.6272i 0.173152 0.217126i
\(423\) 313.682 + 313.682i 0.741566 + 0.741566i
\(424\) 28.1365 + 249.718i 0.0663597 + 0.588958i
\(425\) −141.079 49.3657i −0.331951 0.116155i
\(426\) 20.8363 + 26.1279i 0.0489116 + 0.0613332i
\(427\) 91.1546 809.019i 0.213477 1.89466i
\(428\) −191.430 + 397.508i −0.447266 + 0.928757i
\(429\) 2.83259 12.4104i 0.00660278 0.0289287i
\(430\) −51.5157 225.705i −0.119804 0.524895i
\(431\) 178.177 85.8056i 0.413404 0.199085i −0.215609 0.976480i \(-0.569174\pi\)
0.629013 + 0.777395i \(0.283459\pi\)
\(432\) −75.4026 + 26.3845i −0.174543 + 0.0610753i
\(433\) −148.885 93.5509i −0.343846 0.216053i 0.349026 0.937113i \(-0.386512\pi\)
−0.692873 + 0.721060i \(0.743655\pi\)
\(434\) 140.691i 0.324172i
\(435\) −69.4820 15.0474i −0.159729 0.0345917i
\(436\) 66.8552 0.153338
\(437\) 1.76431 2.80789i 0.00403733 0.00642538i
\(438\) 12.9200 + 36.9232i 0.0294977 + 0.0842996i
\(439\) −97.1608 201.756i −0.221323 0.459582i 0.760511 0.649325i \(-0.224949\pi\)
−0.981834 + 0.189743i \(0.939234\pi\)
\(440\) −40.2321 + 9.18271i −0.0914366 + 0.0208698i
\(441\) 657.774 + 150.133i 1.49155 + 0.340437i
\(442\) 262.005 + 126.175i 0.592771 + 0.285463i
\(443\) 172.978 + 19.4899i 0.390470 + 0.0439954i 0.305017 0.952347i \(-0.401338\pi\)
0.0854526 + 0.996342i \(0.472766\pi\)
\(444\) −38.5480 + 30.7410i −0.0868199 + 0.0692366i
\(445\) −94.4746 + 269.993i −0.212302 + 0.606725i
\(446\) −96.3820 + 10.8596i −0.216103 + 0.0243490i
\(447\) 41.8424 41.8424i 0.0936071 0.0936071i
\(448\) 48.5246 + 38.6970i 0.108314 + 0.0863773i
\(449\) −378.601 + 237.891i −0.843209 + 0.529823i −0.882994 0.469385i \(-0.844476\pi\)
0.0397845 + 0.999208i \(0.487333\pi\)
\(450\) −24.4247 38.8717i −0.0542771 0.0863815i
\(451\) 63.1102 79.1376i 0.139934 0.175471i
\(452\) 55.7736 + 55.7736i 0.123393 + 0.123393i
\(453\) 2.61958 + 23.2494i 0.00578274 + 0.0513233i
\(454\) −181.897 63.6486i −0.400655 0.140195i
\(455\) 439.810 + 551.504i 0.966615 + 1.21210i
\(456\) 0.185333 1.64487i 0.000406431 0.00360718i
\(457\) 21.1875 43.9964i 0.0463622 0.0962722i −0.876501 0.481400i \(-0.840128\pi\)
0.922863 + 0.385128i \(0.125843\pi\)
\(458\) 38.7678 169.853i 0.0846459 0.370858i
\(459\) 53.0908 + 232.606i 0.115666 + 0.506767i
\(460\) 89.4416 43.0728i 0.194438 0.0936366i
\(461\) 536.238 187.638i 1.16321 0.407023i 0.321474 0.946918i \(-0.395822\pi\)
0.841732 + 0.539895i \(0.181536\pi\)
\(462\) 7.06479 + 4.43910i 0.0152918 + 0.00960845i
\(463\) 50.1618i 0.108341i 0.998532 + 0.0541704i \(0.0172514\pi\)
−0.998532 + 0.0541704i \(0.982749\pi\)
\(464\) −28.4549 229.556i −0.0613253 0.494732i
\(465\) −36.3400 −0.0781505
\(466\) −83.5276 + 132.933i −0.179244 + 0.285265i
\(467\) −61.9948 177.171i −0.132751 0.379381i 0.858250 0.513231i \(-0.171552\pi\)
−0.991002 + 0.133850i \(0.957266\pi\)
\(468\) −179.353 372.430i −0.383233 0.795791i
\(469\) −1261.32 + 287.888i −2.68938 + 0.613834i
\(470\) −181.794 41.4932i −0.386795 0.0882834i
\(471\) −41.8287 20.1436i −0.0888082 0.0427678i
\(472\) −145.758 16.4230i −0.308810 0.0347945i
\(473\) −76.9928 + 61.3997i −0.162775 + 0.129809i
\(474\) −18.2100 + 52.0411i −0.0384177 + 0.109791i
\(475\) −2.96449 + 0.334018i −0.00624103 + 0.000703195i
\(476\) 623.760 623.760i 1.31042 1.31042i
\(477\) −277.484 221.286i −0.581727 0.463912i
\(478\) −114.716 + 72.0809i −0.239992 + 0.150797i
\(479\) 15.6633 + 24.9280i 0.0327000 + 0.0520418i 0.862674 0.505760i \(-0.168788\pi\)
−0.829974 + 0.557802i \(0.811645\pi\)
\(480\) 47.8492 60.0011i 0.0996859 0.125002i
\(481\) −270.914 270.914i −0.563231 0.563231i
\(482\) −18.3807 163.133i −0.0381342 0.338450i
\(483\) −41.9847 14.6911i −0.0869248 0.0304163i
\(484\) −243.211 304.977i −0.502501 0.630117i
\(485\) −38.1501 + 338.592i −0.0786600 + 0.698127i
\(486\) −47.9821 + 99.6359i −0.0987286 + 0.205012i
\(487\) 39.7649 174.221i 0.0816527 0.357744i −0.917552 0.397616i \(-0.869838\pi\)
0.999205 + 0.0398716i \(0.0126949\pi\)
\(488\) −98.8905 433.268i −0.202645 0.887844i
\(489\) −0.585342 + 0.281886i −0.00119702 + 0.000576453i
\(490\) −267.685 + 93.6669i −0.546295 + 0.191157i
\(491\) 319.674 + 200.864i 0.651066 + 0.409092i 0.816674 0.577100i \(-0.195816\pi\)
−0.165607 + 0.986192i \(0.552958\pi\)
\(492\) 121.544i 0.247041i
\(493\) −690.800 + 7.68743i −1.40122 + 0.0155932i
\(494\) 5.80422 0.0117494
\(495\) 31.0079 49.3488i 0.0626423 0.0996946i
\(496\) −39.0517 111.603i −0.0787333 0.225007i
\(497\) 341.787 + 709.728i 0.687701 + 1.42803i
\(498\) 0.576887 0.131671i 0.00115841 0.000264399i
\(499\) −575.053 131.252i −1.15241 0.263030i −0.396707 0.917945i \(-0.629847\pi\)
−0.755703 + 0.654915i \(0.772704\pi\)
\(500\) −401.065 193.143i −0.802130 0.386286i
\(501\) 110.116 + 12.4071i 0.219793 + 0.0247647i
\(502\) 218.032 173.875i 0.434326 0.346364i
\(503\) 122.173 349.151i 0.242889 0.694137i −0.756313 0.654209i \(-0.773001\pi\)
0.999203 0.0399278i \(-0.0127128\pi\)
\(504\) 596.657 67.2271i 1.18384 0.133387i
\(505\) 257.590 257.590i 0.510079 0.510079i
\(506\) 7.13382 + 5.68903i 0.0140985 + 0.0112432i
\(507\) −19.5063 + 12.2566i −0.0384740 + 0.0241748i
\(508\) −14.4691 23.0275i −0.0284825 0.0453296i
\(509\) 595.965 747.316i 1.17085 1.46820i 0.316440 0.948613i \(-0.397513\pi\)
0.854414 0.519592i \(-0.173916\pi\)
\(510\) −34.8135 34.8135i −0.0682618 0.0682618i
\(511\) 103.241 + 916.289i 0.202037 + 1.79313i
\(512\) 420.751 + 147.227i 0.821779 + 0.287553i
\(513\) 2.96908 + 3.72311i 0.00578769 + 0.00725753i
\(514\) −16.3732 + 145.316i −0.0318544 + 0.282716i
\(515\) 91.4863 189.973i 0.177643 0.368880i
\(516\) 26.3131 115.285i 0.0509943 0.223421i
\(517\) 17.6500 + 77.3298i 0.0341393 + 0.149574i
\(518\) 226.256 108.959i 0.436788 0.210346i
\(519\) −50.2191 + 17.5724i −0.0967613 + 0.0338583i
\(520\) 326.034 + 204.861i 0.626989 + 0.393963i
\(521\) 165.340i 0.317352i −0.987331 0.158676i \(-0.949278\pi\)
0.987331 0.158676i \(-0.0507225\pi\)
\(522\) −167.359 130.444i −0.320611 0.249893i
\(523\) −680.975 −1.30205 −0.651027 0.759054i \(-0.725662\pi\)
−0.651027 + 0.759054i \(0.725662\pi\)
\(524\) −420.732 + 669.592i −0.802924 + 1.27785i
\(525\) 13.2161 + 37.7696i 0.0251736 + 0.0719420i
\(526\) −59.5185 123.591i −0.113153 0.234965i
\(527\) −344.280 + 78.5796i −0.653283 + 0.149107i
\(528\) −6.83634 1.56035i −0.0129476 0.00295521i
\(529\) 432.786 + 208.419i 0.818122 + 0.393987i
\(530\) 148.247 + 16.7034i 0.279712 + 0.0315159i
\(531\) 161.965 129.163i 0.305018 0.243244i
\(532\) 5.81511 16.6186i 0.0109307 0.0312380i
\(533\) −938.537 + 105.748i −1.76086 + 0.198401i
\(534\) 22.3235 22.3235i 0.0418043 0.0418043i
\(535\) 453.806 + 361.898i 0.848235 + 0.676445i
\(536\) −597.972 + 375.731i −1.11562 + 0.700990i
\(537\) 52.2048 + 83.0835i 0.0972157 + 0.154718i
\(538\) −15.4745 + 19.4044i −0.0287630 + 0.0360677i
\(539\) 85.3018 + 85.3018i 0.158259 + 0.158259i
\(540\) 15.9612 + 141.659i 0.0295577 + 0.262332i
\(541\) 259.030 + 90.6386i 0.478799 + 0.167539i 0.558879 0.829250i \(-0.311232\pi\)
−0.0800798 + 0.996788i \(0.525518\pi\)
\(542\) 267.503 + 335.438i 0.493547 + 0.618889i
\(543\) 6.14447 54.5337i 0.0113158 0.100430i
\(544\) 323.574 671.908i 0.594805 1.23513i
\(545\) 19.5716 85.7489i 0.0359113 0.157337i
\(546\) −17.3240 75.9016i −0.0317290 0.139014i
\(547\) 506.415 243.877i 0.925805 0.445844i 0.0906647 0.995881i \(-0.471101\pi\)
0.835140 + 0.550037i \(0.185387\pi\)
\(548\) 126.182 44.1529i 0.230259 0.0805711i
\(549\) 531.448 + 333.931i 0.968028 + 0.608253i
\(550\) 8.20844i 0.0149244i
\(551\) −12.3559 + 6.12057i −0.0224244 + 0.0111081i
\(552\) −24.2805 −0.0439865
\(553\) −691.443 + 1100.43i −1.25035 + 1.98992i
\(554\) −58.4664 167.087i −0.105535 0.301602i
\(555\) 28.1438 + 58.4413i 0.0507096 + 0.105300i
\(556\) −179.089 + 40.8758i −0.322102 + 0.0735176i
\(557\) −328.386 74.9521i −0.589563 0.134564i −0.0826759 0.996576i \(-0.526347\pi\)
−0.506887 + 0.862013i \(0.669204\pi\)
\(558\) −97.7227 47.0608i −0.175130 0.0843383i
\(559\) 913.101 + 102.882i 1.63345 + 0.184046i
\(560\) 303.799 242.272i 0.542498 0.432628i
\(561\) −6.91691 + 19.7674i −0.0123296 + 0.0352360i
\(562\) 385.702 43.4581i 0.686302 0.0773276i
\(563\) 156.332 156.332i 0.277677 0.277677i −0.554504 0.832181i \(-0.687092\pi\)
0.832181 + 0.554504i \(0.187092\pi\)
\(564\) −74.4648 59.3837i −0.132030 0.105290i
\(565\) 87.8631 55.2080i 0.155510 0.0977133i
\(566\) 201.410 + 320.542i 0.355848 + 0.566329i
\(567\) −508.449 + 637.575i −0.896735 + 1.12447i
\(568\) 304.056 + 304.056i 0.535309 + 0.535309i
\(569\) −36.9493 327.934i −0.0649373 0.576334i −0.983481 0.181014i \(-0.942062\pi\)
0.918543 0.395321i \(-0.129366\pi\)
\(570\) −0.927526 0.324555i −0.00162724 0.000569395i
\(571\) 126.849 + 159.064i 0.222153 + 0.278570i 0.880401 0.474231i \(-0.157274\pi\)
−0.658248 + 0.752801i \(0.728702\pi\)
\(572\) 8.27532 73.4455i 0.0144673 0.128401i
\(573\) 87.9968 182.727i 0.153572 0.318896i
\(574\) 137.755 603.542i 0.239990 1.05147i
\(575\) 9.73747 + 42.6627i 0.0169347 + 0.0741959i
\(576\) −43.1101 + 20.7607i −0.0748438 + 0.0360429i
\(577\) 612.104 214.185i 1.06084 0.371204i 0.257223 0.966352i \(-0.417192\pi\)
0.803616 + 0.595148i \(0.202907\pi\)
\(578\) −198.799 124.914i −0.343944 0.216114i
\(579\) 168.670i 0.291312i
\(580\) −410.671 41.6492i −0.708053 0.0718090i
\(581\) 13.9479 0.0240067
\(582\) 20.0077 31.8420i 0.0343774 0.0547114i
\(583\) −20.9592 59.8980i −0.0359506 0.102741i
\(584\) 218.389 + 453.490i 0.373954 + 0.776523i
\(585\) −530.186 + 121.012i −0.906301 + 0.206857i
\(586\) −92.3475 21.0777i −0.157590 0.0359688i
\(587\) −702.630 338.369i −1.19698 0.576437i −0.274170 0.961681i \(-0.588403\pi\)
−0.922815 + 0.385244i \(0.874117\pi\)
\(588\) −143.945 16.2187i −0.244805 0.0275829i
\(589\) −5.51058 + 4.39454i −0.00935582 + 0.00746101i
\(590\) −28.7600 + 82.1915i −0.0487458 + 0.139308i
\(591\) −78.2580 + 8.81755i −0.132416 + 0.0149197i
\(592\) −149.234 + 149.234i −0.252085 + 0.252085i
\(593\) −694.472 553.823i −1.17112 0.933934i −0.172422 0.985023i \(-0.555159\pi\)
−0.998694 + 0.0510897i \(0.983731\pi\)
\(594\) −11.0945 + 6.97111i −0.0186775 + 0.0117359i
\(595\) −617.435 982.642i −1.03771 1.65150i
\(596\) 214.216 268.618i 0.359423 0.450702i
\(597\) 4.63648 + 4.63648i 0.00776629 + 0.00776629i
\(598\) −9.53258 84.6040i −0.0159408 0.141478i
\(599\) 153.834 + 53.8288i 0.256818 + 0.0898645i 0.455617 0.890176i \(-0.349419\pi\)
−0.198799 + 0.980040i \(0.563704\pi\)
\(600\) 13.6188 + 17.0774i 0.0226980 + 0.0284624i
\(601\) 56.1166 498.048i 0.0933720 0.828699i −0.856518 0.516116i \(-0.827377\pi\)
0.949890 0.312583i \(-0.101194\pi\)
\(602\) −261.322 + 542.640i −0.434089 + 0.901395i
\(603\) 221.944 972.402i 0.368067 1.61261i
\(604\) 30.2283 + 132.439i 0.0500468 + 0.219270i
\(605\) −462.364 + 222.663i −0.764238 + 0.368038i
\(606\) −37.9494 + 13.2791i −0.0626228 + 0.0219127i
\(607\) 791.990 + 497.641i 1.30476 + 0.819836i 0.991535 0.129842i \(-0.0414471\pi\)
0.313227 + 0.949678i \(0.398590\pi\)
\(608\) 14.8849i 0.0244817i
\(609\) 116.917 + 143.309i 0.191983 + 0.235318i
\(610\) −263.827 −0.432504
\(611\) 393.761 626.668i 0.644454 1.02564i
\(612\) 224.612 + 641.906i 0.367014 + 1.04887i
\(613\) 152.936 + 317.575i 0.249488 + 0.518067i 0.987673 0.156531i \(-0.0500312\pi\)
−0.738185 + 0.674598i \(0.764317\pi\)
\(614\) −152.526 + 34.8131i −0.248414 + 0.0566989i
\(615\) 155.893 + 35.5816i 0.253485 + 0.0578562i
\(616\) 96.7260 + 46.5808i 0.157023 + 0.0756182i
\(617\) −839.013 94.5340i −1.35983 0.153216i −0.598260 0.801302i \(-0.704141\pi\)
−0.761566 + 0.648087i \(0.775569\pi\)
\(618\) −18.1944 + 14.5096i −0.0294409 + 0.0234783i
\(619\) −171.638 + 490.514i −0.277283 + 0.792430i 0.718055 + 0.695986i \(0.245032\pi\)
−0.995338 + 0.0964436i \(0.969253\pi\)
\(620\) −209.670 + 23.6241i −0.338177 + 0.0381034i
\(621\) 49.3928 49.3928i 0.0795376 0.0795376i
\(622\) −331.663 264.493i −0.533221 0.425229i
\(623\) 630.100 395.918i 1.01140 0.635502i
\(624\) 34.8105 + 55.4006i 0.0557860 + 0.0887829i
\(625\) −267.338 + 335.231i −0.427741 + 0.536370i
\(626\) −98.9575 98.9575i −0.158079 0.158079i
\(627\) 0.0468011 + 0.415371i 7.46429e−5 + 0.000662474i
\(628\) −254.433 89.0300i −0.405148 0.141767i
\(629\) 393.001 + 492.808i 0.624803 + 0.783478i
\(630\) 39.9098 354.210i 0.0633490 0.562238i
\(631\) −226.898 + 471.158i −0.359584 + 0.746685i −0.999768 0.0215372i \(-0.993144\pi\)
0.640184 + 0.768222i \(0.278858\pi\)
\(632\) −157.861 + 691.635i −0.249780 + 1.09436i
\(633\) −17.5241 76.7780i −0.0276842 0.121292i
\(634\) −14.4331 + 6.95062i −0.0227652 + 0.0109631i
\(635\) −33.7709 + 11.8170i −0.0531826 + 0.0186094i
\(636\) 64.5208 + 40.5411i 0.101448 + 0.0637438i
\(637\) 1125.63i 1.76708i
\(638\) −12.9284 35.6691i −0.0202640 0.0559077i
\(639\) −607.299 −0.950390
\(640\) 298.995 475.848i 0.467179 0.743512i
\(641\) −284.960 814.368i −0.444555 1.27046i −0.920415 0.390944i \(-0.872149\pi\)
0.475860 0.879521i \(-0.342137\pi\)
\(642\) −27.7954 57.7178i −0.0432950 0.0899031i
\(643\) 221.189 50.4849i 0.343995 0.0785147i −0.0470331 0.998893i \(-0.514977\pi\)
0.391028 + 0.920379i \(0.372119\pi\)
\(644\) −251.788 57.4691i −0.390976 0.0892377i
\(645\) −140.162 67.4986i −0.217306 0.104649i
\(646\) −9.48905 1.06916i −0.0146889 0.00165504i
\(647\) 639.749 510.183i 0.988794 0.788537i 0.0113937 0.999935i \(-0.496373\pi\)
0.977400 + 0.211398i \(0.0678018\pi\)
\(648\) −147.023 + 420.167i −0.226887 + 0.648406i
\(649\) 36.8076 4.14722i 0.0567143 0.00639017i
\(650\) −54.1585 + 54.1585i −0.0833208 + 0.0833208i
\(651\) 73.9148 + 58.9451i 0.113540 + 0.0905454i
\(652\) −3.19398 + 2.00691i −0.00489875 + 0.00307809i
\(653\) 430.330 + 684.867i 0.659005 + 1.04880i 0.994293 + 0.106685i \(0.0340236\pi\)
−0.335288 + 0.942116i \(0.608834\pi\)
\(654\) −6.05241 + 7.58949i −0.00925445 + 0.0116047i
\(655\) 735.655 + 735.655i 1.12314 + 1.12314i
\(656\) 58.2517 + 516.998i 0.0887984 + 0.788107i
\(657\) −670.982 234.787i −1.02128 0.357362i
\(658\) 302.461 + 379.274i 0.459667 + 0.576404i
\(659\) −11.9427 + 105.994i −0.0181225 + 0.160841i −0.999514 0.0311765i \(-0.990075\pi\)
0.981391 + 0.192018i \(0.0615032\pi\)
\(660\) −5.42927 + 11.2740i −0.00822616 + 0.0170818i
\(661\) 58.7442 257.375i 0.0888717 0.389372i −0.910856 0.412725i \(-0.864577\pi\)
0.999727 + 0.0233529i \(0.00743414\pi\)
\(662\) −9.03830 39.5994i −0.0136530 0.0598178i
\(663\) 176.061 84.7863i 0.265551 0.127883i
\(664\) 7.18642 2.51464i 0.0108229 0.00378710i
\(665\) −19.6128 12.3236i −0.0294930 0.0185317i
\(666\) 193.602i 0.290694i
\(667\) 109.508 + 170.050i 0.164180 + 0.254948i
\(668\) 643.402 0.963176
\(669\) −34.6758 + 55.1862i −0.0518322 + 0.0824905i
\(670\) 138.470 + 395.724i 0.206672 + 0.590634i
\(671\) 48.6924 + 101.111i 0.0725669 + 0.150687i
\(672\) −194.649 + 44.4273i −0.289656 + 0.0661121i
\(673\) 396.421 + 90.4804i 0.589035 + 0.134443i 0.506642 0.862156i \(-0.330887\pi\)
0.0823931 + 0.996600i \(0.473744\pi\)
\(674\) −169.198 81.4813i −0.251035 0.120892i
\(675\) −62.4440 7.03575i −0.0925097 0.0104233i
\(676\) −104.577 + 83.3976i −0.154700 + 0.123369i
\(677\) −170.754 + 487.988i −0.252222 + 0.720810i 0.746256 + 0.665659i \(0.231850\pi\)
−0.998478 + 0.0551504i \(0.982436\pi\)
\(678\) −11.3807 + 1.28229i −0.0167857 + 0.00189129i
\(679\) 626.807 626.807i 0.923133 0.923133i
\(680\) −495.282 394.974i −0.728355 0.580844i
\(681\) −109.648 + 68.8967i −0.161011 + 0.101170i
\(682\) −10.3179 16.4209i −0.0151289 0.0240776i
\(683\) 207.865 260.654i 0.304341 0.381631i −0.606018 0.795451i \(-0.707234\pi\)
0.910359 + 0.413820i \(0.135806\pi\)
\(684\) 9.59804 + 9.59804i 0.0140322 + 0.0140322i
\(685\) −19.6915 174.767i −0.0287468 0.255135i
\(686\) 257.440 + 90.0822i 0.375277 + 0.131315i
\(687\) −72.9932 91.5306i −0.106249 0.133232i
\(688\) 56.6730 502.986i 0.0823735 0.731085i
\(689\) −256.914 + 533.488i −0.372880 + 0.774293i
\(690\) −3.20749 + 14.0529i −0.00464853 + 0.0203665i
\(691\) 35.5687 + 155.837i 0.0514743 + 0.225523i 0.994122 0.108266i \(-0.0345298\pi\)
−0.942648 + 0.333789i \(0.891673\pi\)
\(692\) −278.325 + 134.034i −0.402203 + 0.193691i
\(693\) −143.115 + 50.0783i −0.206516 + 0.0722630i
\(694\) −285.912 179.651i −0.411978 0.258863i
\(695\) 241.666i 0.347722i
\(696\) 86.0766 + 52.7587i 0.123673 + 0.0758028i
\(697\) 1553.85 2.22934
\(698\) −85.7120 + 136.410i −0.122797 + 0.195430i
\(699\) 34.8438 + 99.5779i 0.0498481 + 0.142458i
\(700\) 100.806 + 209.327i 0.144009 + 0.299038i
\(701\) 1073.12 244.932i 1.53084 0.349404i 0.627597 0.778539i \(-0.284039\pi\)
0.903240 + 0.429135i \(0.141182\pi\)
\(702\) 119.195 + 27.2055i 0.169793 + 0.0387542i
\(703\) 11.3349 + 5.45861i 0.0161237 + 0.00776474i
\(704\) −8.50156 0.957896i −0.0120761 0.00136065i
\(705\) −97.9652 + 78.1247i −0.138958 + 0.110815i
\(706\) −48.8070 + 139.483i −0.0691318 + 0.197567i
\(707\) −941.755 + 106.110i −1.33204 + 0.150085i
\(708\) −31.4503 + 31.4503i −0.0444214 + 0.0444214i
\(709\) 207.591 + 165.548i 0.292794 + 0.233496i 0.758859 0.651255i \(-0.225757\pi\)
−0.466065 + 0.884751i \(0.654329\pi\)
\(710\) 216.145 135.813i 0.304430 0.191286i
\(711\) −533.061 848.361i −0.749734 1.19319i
\(712\) 253.269 317.589i 0.355715 0.446052i
\(713\) 73.1063 + 73.1063i 0.102533 + 0.102533i
\(714\) 14.3409 + 127.279i 0.0200853 + 0.178262i
\(715\) −91.7790 32.1149i −0.128362 0.0449159i
\(716\) 355.217 + 445.428i 0.496113 + 0.622106i
\(717\) −10.1933 + 90.4681i −0.0142166 + 0.126176i
\(718\) 111.232 230.976i 0.154920 0.321694i
\(719\) −251.846 + 1103.41i −0.350273 + 1.53465i 0.426279 + 0.904592i \(0.359824\pi\)
−0.776552 + 0.630054i \(0.783033\pi\)
\(720\) 66.6599 + 292.056i 0.0925831 + 0.405633i
\(721\) −494.226 + 238.007i −0.685474 + 0.330107i
\(722\) 287.083 100.455i 0.397623 0.139134i
\(723\) −93.4062 58.6910i −0.129193 0.0811770i
\(724\) 318.636i 0.440106i
\(725\) 58.1808 172.401i 0.0802493 0.237795i
\(726\) 56.6392 0.0780154
\(727\) 25.1121 39.9657i 0.0345421 0.0549734i −0.829007 0.559238i \(-0.811094\pi\)
0.863549 + 0.504265i \(0.168237\pi\)
\(728\) −330.853 945.524i −0.454469 1.29880i
\(729\) −250.623 520.425i −0.343791 0.713889i
\(730\) 291.317 66.4912i 0.399064 0.0910838i
\(731\) −1473.83 336.393i −2.01619 0.460182i
\(732\) −121.412 58.4689i −0.165863 0.0798755i
\(733\) 117.112 + 13.1954i 0.159771 + 0.0180019i 0.191488 0.981495i \(-0.438669\pi\)
−0.0317165 + 0.999497i \(0.510097\pi\)
\(734\) −71.6018 + 57.1005i −0.0975501 + 0.0777936i
\(735\) −62.9418 + 179.877i −0.0856351 + 0.244731i
\(736\) −216.966 + 24.4462i −0.294791 + 0.0332149i
\(737\) 126.104 126.104i 0.171104 0.171104i
\(738\) 373.137 + 297.567i 0.505606 + 0.403207i
\(739\) −954.623 + 599.830i −1.29178 + 0.811677i −0.989913 0.141674i \(-0.954752\pi\)
−0.301864 + 0.953351i \(0.597609\pi\)
\(740\) 200.373 + 318.891i 0.270774 + 0.430934i
\(741\) 2.43179 3.04937i 0.00328177 0.00411521i
\(742\) −274.438 274.438i −0.369862 0.369862i
\(743\) 84.0696 + 746.139i 0.113149 + 1.00422i 0.914098 + 0.405492i \(0.132900\pi\)
−0.800950 + 0.598732i \(0.795672\pi\)
\(744\) 48.7104 + 17.0445i 0.0654710 + 0.0229093i
\(745\) −281.820 353.392i −0.378282 0.474351i
\(746\) 40.9643 363.568i 0.0549119 0.487356i
\(747\) −4.66554 + 9.68810i −0.00624571 + 0.0129693i
\(748\) −27.0578 + 118.548i −0.0361736 + 0.158487i
\(749\) −336.017 1472.19i −0.448621 1.96554i
\(750\) 58.2343 28.0441i 0.0776457 0.0373922i
\(751\) −1157.37 + 404.983i −1.54111 + 0.539258i −0.961303 0.275495i \(-0.911158\pi\)
−0.579808 + 0.814753i \(0.696873\pi\)
\(752\) −345.203 216.906i −0.459047 0.288438i
\(753\) 187.396i 0.248865i
\(754\) −150.041 + 320.642i −0.198993 + 0.425255i
\(755\) 178.716 0.236710
\(756\) 197.313 314.022i 0.260996 0.415373i
\(757\) 347.068 + 991.864i 0.458478 + 1.31026i 0.908741 + 0.417360i \(0.137045\pi\)
−0.450263 + 0.892896i \(0.648670\pi\)
\(758\) 100.608 + 208.915i 0.132729 + 0.275614i
\(759\) 5.97771 1.36437i 0.00787577 0.00179759i
\(760\) −12.3270 2.81355i −0.0162197 0.00370204i
\(761\) 147.446 + 71.0065i 0.193754 + 0.0933068i 0.528245 0.849092i \(-0.322850\pi\)
−0.334491 + 0.942399i \(0.608565\pi\)
\(762\) 3.92400 + 0.442128i 0.00514960 + 0.000580221i
\(763\) −178.897 + 142.665i −0.234465 + 0.186980i
\(764\) 388.925 1111.48i 0.509064 1.45482i
\(765\) 889.067 100.174i 1.16218 0.130946i
\(766\) 130.285 130.285i 0.170084 0.170084i
\(767\) −270.216 215.490i −0.352302 0.280952i
\(768\) −41.9403 + 26.3528i −0.0546097 + 0.0343136i
\(769\) 451.872 + 719.149i 0.587609 + 0.935175i 0.999711 + 0.0240371i \(0.00765197\pi\)
−0.412102 + 0.911138i \(0.635205\pi\)
\(770\) 39.7373 49.8290i 0.0516069 0.0647130i
\(771\) 69.4849 + 69.4849i