Properties

Label 230.3.i.a.19.8
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 19.8
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28641 + 0.587486i) q^{2} +(0.540708 + 1.84148i) q^{3} +(1.30972 - 1.51150i) q^{4} +(4.67844 + 1.76413i) q^{5} +(-1.77742 - 2.05125i) q^{6} +(-0.0656966 - 0.456930i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(4.47258 - 2.87436i) q^{9} +O(q^{10})\) \(q+(-1.28641 + 0.587486i) q^{2} +(0.540708 + 1.84148i) q^{3} +(1.30972 - 1.51150i) q^{4} +(4.67844 + 1.76413i) q^{5} +(-1.77742 - 2.05125i) q^{6} +(-0.0656966 - 0.456930i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(4.47258 - 2.87436i) q^{9} +(-7.05482 + 0.479116i) q^{10} +(0.696679 + 0.318163i) q^{11} +(3.49158 + 1.59455i) q^{12} +(20.8158 + 2.99285i) q^{13} +(0.352953 + 0.549205i) q^{14} +(-0.718944 + 9.56916i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(-2.37645 - 2.74257i) q^{17} +(-4.06495 + 6.32519i) q^{18} +(-22.1306 - 19.1762i) q^{19} +(8.79394 - 4.76095i) q^{20} +(0.805906 - 0.368045i) q^{21} -1.08313 q^{22} +(-9.91399 + 20.7536i) q^{23} -5.42839 q^{24} +(18.7757 + 16.5068i) q^{25} +(-28.5359 + 8.37891i) q^{26} +(20.7655 + 17.9934i) q^{27} +(-0.776693 - 0.499151i) q^{28} +(26.9700 + 31.1250i) q^{29} +(-4.69688 - 12.7323i) q^{30} +(35.8114 + 10.5152i) q^{31} +(3.05833 + 4.75885i) q^{32} +(-0.209191 + 1.45496i) q^{33} +(4.66832 + 2.13195i) q^{34} +(0.498726 - 2.25362i) q^{35} +(1.51325 - 10.5249i) q^{36} +(-57.6318 + 37.0377i) q^{37} +(39.7348 + 11.6672i) q^{38} +(5.74396 + 39.9501i) q^{39} +(-8.51566 + 11.2909i) q^{40} +(-30.9951 - 19.9193i) q^{41} +(-0.820508 + 0.946917i) q^{42} +(-31.1513 + 9.14684i) q^{43} +(1.39336 - 0.636325i) q^{44} +(25.9955 - 5.55729i) q^{45} +(0.561045 - 32.5221i) q^{46} -60.7751i q^{47} +(6.98316 - 3.18910i) q^{48} +(46.8107 - 13.7449i) q^{49} +(-33.8508 - 10.2041i) q^{50} +(3.76543 - 5.85913i) q^{51} +(31.7865 - 27.5432i) q^{52} +(11.2608 + 78.3204i) q^{53} +(-37.2840 - 10.9476i) q^{54} +(2.69809 + 2.71754i) q^{55} +(1.29239 + 0.185818i) q^{56} +(23.3466 - 51.1218i) q^{57} +(-52.9801 - 24.1952i) q^{58} +(-8.45263 + 58.7893i) q^{59} +(13.5222 + 13.6196i) q^{60} +(30.8479 - 105.058i) q^{61} +(-52.2458 + 7.51182i) q^{62} +(-1.60721 - 1.85482i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(92.1056 + 50.7236i) q^{65} +(-0.585659 - 1.99457i) q^{66} +(-45.4327 - 99.4838i) q^{67} -7.25789 q^{68} +(-43.5780 - 7.03480i) q^{69} +(0.682400 + 3.19208i) q^{70} +(-33.8025 - 74.0172i) q^{71} +(4.23656 + 14.4284i) q^{72} +(-72.5846 - 62.8949i) q^{73} +(52.3792 - 81.5037i) q^{74} +(-20.2448 + 43.5005i) q^{75} +(-57.9697 + 8.33479i) q^{76} +(0.0996085 - 0.339236i) q^{77} +(-30.8592 - 48.0179i) q^{78} +(-21.5246 - 3.09477i) q^{79} +(4.32145 - 19.5275i) q^{80} +(-2.02928 + 4.44349i) q^{81} +(51.5748 + 7.41534i) q^{82} +(75.4015 - 48.4576i) q^{83} +(0.499213 - 1.70016i) q^{84} +(-6.27984 - 17.0233i) q^{85} +(34.6998 - 30.0676i) q^{86} +(-42.7334 + 66.4944i) q^{87} +(-1.41860 + 1.63715i) q^{88} +(5.79451 + 19.7343i) q^{89} +(-30.1761 + 22.4209i) q^{90} -9.70796i q^{91} +(18.3845 + 42.1665i) q^{92} +71.6318i q^{93} +(35.7045 + 78.1819i) q^{94} +(-69.7072 - 128.756i) q^{95} +(-7.10968 + 8.20501i) q^{96} +(-58.1078 - 37.3436i) q^{97} +(-52.1430 + 45.1822i) q^{98} +(4.03047 - 0.579494i) 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
\(3\) 0.540708 + 1.84148i 0.180236 + 0.613828i 0.999200 + 0.0399834i \(0.0127305\pi\)
−0.818964 + 0.573845i \(0.805451\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) 4.67844 + 1.76413i 0.935689 + 0.352826i
\(6\) −1.77742 2.05125i −0.296237 0.341875i
\(7\) −0.0656966 0.456930i −0.00938523 0.0652757i 0.984591 0.174875i \(-0.0559522\pi\)
−0.993976 + 0.109600i \(0.965043\pi\)
\(8\) −0.796860 + 2.71386i −0.0996075 + 0.339232i
\(9\) 4.47258 2.87436i 0.496954 0.319373i
\(10\) −7.05482 + 0.479116i −0.705482 + 0.0479116i
\(11\) 0.696679 + 0.318163i 0.0633344 + 0.0289239i 0.446830 0.894619i \(-0.352553\pi\)
−0.383496 + 0.923543i \(0.625280\pi\)
\(12\) 3.49158 + 1.59455i 0.290965 + 0.132879i
\(13\) 20.8158 + 2.99285i 1.60121 + 0.230220i 0.884292 0.466935i \(-0.154642\pi\)
0.716921 + 0.697155i \(0.245551\pi\)
\(14\) 0.352953 + 0.549205i 0.0252109 + 0.0392289i
\(15\) −0.718944 + 9.56916i −0.0479296 + 0.637944i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) −2.37645 2.74257i −0.139791 0.161328i 0.681537 0.731784i \(-0.261312\pi\)
−0.821328 + 0.570456i \(0.806766\pi\)
\(18\) −4.06495 + 6.32519i −0.225831 + 0.351399i
\(19\) −22.1306 19.1762i −1.16477 1.00928i −0.999736 0.0229870i \(-0.992682\pi\)
−0.165030 0.986288i \(-0.552772\pi\)
\(20\) 8.79394 4.76095i 0.439697 0.238047i
\(21\) 0.805906 0.368045i 0.0383765 0.0175260i
\(22\) −1.08313 −0.0492333
\(23\) −9.91399 + 20.7536i −0.431043 + 0.902331i
\(24\) −5.42839 −0.226183
\(25\) 18.7757 + 16.5068i 0.751027 + 0.660271i
\(26\) −28.5359 + 8.37891i −1.09754 + 0.322266i
\(27\) 20.7655 + 17.9934i 0.769094 + 0.666424i
\(28\) −0.776693 0.499151i −0.0277391 0.0178268i
\(29\) 26.9700 + 31.1250i 0.930000 + 1.07328i 0.997143 + 0.0755340i \(0.0240661\pi\)
−0.0671431 + 0.997743i \(0.521388\pi\)
\(30\) −4.69688 12.7323i −0.156563 0.424409i
\(31\) 35.8114 + 10.5152i 1.15521 + 0.339199i 0.802568 0.596560i \(-0.203466\pi\)
0.352639 + 0.935760i \(0.385284\pi\)
\(32\) 3.05833 + 4.75885i 0.0955727 + 0.148714i
\(33\) −0.209191 + 1.45496i −0.00633912 + 0.0440896i
\(34\) 4.66832 + 2.13195i 0.137304 + 0.0627045i
\(35\) 0.498726 2.25362i 0.0142493 0.0643891i
\(36\) 1.51325 10.5249i 0.0420348 0.292359i
\(37\) −57.6318 + 37.0377i −1.55762 + 1.00102i −0.574400 + 0.818575i \(0.694765\pi\)
−0.983216 + 0.182444i \(0.941599\pi\)
\(38\) 39.7348 + 11.6672i 1.04565 + 0.307031i
\(39\) 5.74396 + 39.9501i 0.147281 + 1.02436i
\(40\) −8.51566 + 11.2909i −0.212892 + 0.282271i
\(41\) −30.9951 19.9193i −0.755978 0.485837i 0.105005 0.994472i \(-0.466514\pi\)
−0.860983 + 0.508634i \(0.830151\pi\)
\(42\) −0.820508 + 0.946917i −0.0195359 + 0.0225456i
\(43\) −31.1513 + 9.14684i −0.724449 + 0.212717i −0.623109 0.782135i \(-0.714131\pi\)
−0.101339 + 0.994852i \(0.532313\pi\)
\(44\) 1.39336 0.636325i 0.0316672 0.0144619i
\(45\) 25.9955 5.55729i 0.577677 0.123495i
\(46\) 0.561045 32.5221i 0.0121966 0.707002i
\(47\) 60.7751i 1.29309i −0.762877 0.646543i \(-0.776214\pi\)
0.762877 0.646543i \(-0.223786\pi\)
\(48\) 6.98316 3.18910i 0.145482 0.0664396i
\(49\) 46.8107 13.7449i 0.955320 0.280507i
\(50\) −33.8508 10.2041i −0.677016 0.204082i
\(51\) 3.76543 5.85913i 0.0738321 0.114885i
\(52\) 31.7865 27.5432i 0.611280 0.529677i
\(53\) 11.2608 + 78.3204i 0.212467 + 1.47774i 0.764880 + 0.644173i \(0.222798\pi\)
−0.552412 + 0.833571i \(0.686293\pi\)
\(54\) −37.2840 10.9476i −0.690444 0.202733i
\(55\) 2.69809 + 2.71754i 0.0490562 + 0.0494098i
\(56\) 1.29239 + 0.185818i 0.0230784 + 0.00331818i
\(57\) 23.3466 51.1218i 0.409589 0.896874i
\(58\) −52.9801 24.1952i −0.913450 0.417159i
\(59\) −8.45263 + 58.7893i −0.143265 + 0.996429i 0.783662 + 0.621187i \(0.213349\pi\)
−0.926927 + 0.375242i \(0.877560\pi\)
\(60\) 13.5222 + 13.6196i 0.225369 + 0.226994i
\(61\) 30.8479 105.058i 0.505703 1.72227i −0.170321 0.985389i \(-0.554481\pi\)
0.676025 0.736879i \(-0.263701\pi\)
\(62\) −52.2458 + 7.51182i −0.842675 + 0.121158i
\(63\) −1.60721 1.85482i −0.0255113 0.0294416i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) 92.1056 + 50.7236i 1.41701 + 0.780363i
\(66\) −0.585659 1.99457i −0.00887363 0.0302208i
\(67\) −45.4327 99.4838i −0.678101 1.48483i −0.864643 0.502387i \(-0.832455\pi\)
0.186542 0.982447i \(-0.440272\pi\)
\(68\) −7.25789 −0.106734
\(69\) −43.5780 7.03480i −0.631566 0.101954i
\(70\) 0.682400 + 3.19208i 0.00974857 + 0.0456012i
\(71\) −33.8025 74.0172i −0.476092 1.04250i −0.983520 0.180801i \(-0.942131\pi\)
0.507428 0.861694i \(-0.330596\pi\)
\(72\) 4.23656 + 14.4284i 0.0588411 + 0.200395i
\(73\) −72.5846 62.8949i −0.994310 0.861575i −0.00393606 0.999992i \(-0.501253\pi\)
−0.990374 + 0.138418i \(0.955798\pi\)
\(74\) 52.3792 81.5037i 0.707827 1.10140i
\(75\) −20.2448 + 43.5005i −0.269931 + 0.580006i
\(76\) −57.9697 + 8.33479i −0.762760 + 0.109668i
\(77\) 0.0996085 0.339236i 0.00129362 0.00440566i
\(78\) −30.8592 48.0179i −0.395631 0.615614i
\(79\) −21.5246 3.09477i −0.272463 0.0391742i 0.00472905 0.999989i \(-0.498495\pi\)
−0.277192 + 0.960815i \(0.589404\pi\)
\(80\) 4.32145 19.5275i 0.0540181 0.244094i
\(81\) −2.02928 + 4.44349i −0.0250528 + 0.0548580i
\(82\) 51.5748 + 7.41534i 0.628961 + 0.0904310i
\(83\) 75.4015 48.4576i 0.908452 0.583827i −0.000833557 1.00000i \(-0.500265\pi\)
0.909285 + 0.416173i \(0.136629\pi\)
\(84\) 0.499213 1.70016i 0.00594301 0.0202400i
\(85\) −6.27984 17.0233i −0.0738805 0.200275i
\(86\) 34.6998 30.0676i 0.403486 0.349623i
\(87\) −42.7334 + 66.4944i −0.491188 + 0.764304i
\(88\) −1.41860 + 1.63715i −0.0161205 + 0.0186040i
\(89\) 5.79451 + 19.7343i 0.0651069 + 0.221734i 0.985620 0.168979i \(-0.0540469\pi\)
−0.920513 + 0.390712i \(0.872229\pi\)
\(90\) −30.1761 + 22.4209i −0.335290 + 0.249122i
\(91\) 9.70796i 0.106681i
\(92\) 18.3845 + 42.1665i 0.199832 + 0.458331i
\(93\) 71.6318i 0.770235i
\(94\) 35.7045 + 78.1819i 0.379835 + 0.831722i
\(95\) −69.7072 128.756i −0.733760 1.35533i
\(96\) −7.10968 + 8.20501i −0.0740592 + 0.0854688i
\(97\) −58.1078 37.3436i −0.599050 0.384986i 0.205687 0.978618i \(-0.434057\pi\)
−0.804737 + 0.593632i \(0.797694\pi\)
\(98\) −52.1430 + 45.1822i −0.532072 + 0.461043i
\(99\) 4.03047 0.579494i 0.0407118 0.00585347i
\(100\) 49.5409 6.76016i 0.495409 0.0676016i
\(101\) 76.4614 49.1388i 0.757044 0.486523i −0.104299 0.994546i \(-0.533260\pi\)
0.861343 + 0.508023i \(0.169624\pi\)
\(102\) −1.40175 + 9.74941i −0.0137427 + 0.0955824i
\(103\) −14.8802 + 32.5831i −0.144468 + 0.316341i −0.968009 0.250916i \(-0.919268\pi\)
0.823541 + 0.567257i \(0.191995\pi\)
\(104\) −24.7094 + 54.1061i −0.237591 + 0.520251i
\(105\) 4.41967 0.300155i 0.0420921 0.00285861i
\(106\) −60.4981 94.1369i −0.570737 0.888084i
\(107\) 82.3846 + 24.1903i 0.769949 + 0.226078i 0.643036 0.765836i \(-0.277675\pi\)
0.126914 + 0.991914i \(0.459493\pi\)
\(108\) 54.3941 7.82069i 0.503649 0.0724138i
\(109\) −51.8418 + 44.9212i −0.475613 + 0.412121i −0.859403 0.511299i \(-0.829164\pi\)
0.383789 + 0.923421i \(0.374619\pi\)
\(110\) −5.06738 1.91079i −0.0460671 0.0173708i
\(111\) −99.3663 86.1014i −0.895192 0.775689i
\(112\) −1.77172 + 0.520223i −0.0158189 + 0.00464485i
\(113\) 5.72813 + 12.5428i 0.0506914 + 0.110999i 0.933283 0.359142i \(-0.116931\pi\)
−0.882592 + 0.470140i \(0.844203\pi\)
\(114\) 79.4796i 0.697189i
\(115\) −82.9942 + 79.6051i −0.721688 + 0.692218i
\(116\) 82.3687 0.710075
\(117\) 101.703 46.4461i 0.869254 0.396975i
\(118\) −23.6643 80.5932i −0.200545 0.682993i
\(119\) −1.09704 + 1.26605i −0.00921881 + 0.0106391i
\(120\) −25.3964 9.57639i −0.211637 0.0798033i
\(121\) −78.8540 91.0024i −0.651686 0.752086i
\(122\) 22.0371 + 153.271i 0.180632 + 1.25632i
\(123\) 19.9218 67.8475i 0.161966 0.551606i
\(124\) 62.7967 40.3570i 0.506425 0.325459i
\(125\) 58.7209 + 110.349i 0.469767 + 0.882790i
\(126\) 3.15722 + 1.44185i 0.0250573 + 0.0114433i
\(127\) −118.371 54.0580i −0.932052 0.425654i −0.109271 0.994012i \(-0.534852\pi\)
−0.822781 + 0.568358i \(0.807579\pi\)
\(128\) 11.1986 + 1.61011i 0.0874887 + 0.0125790i
\(129\) −33.6875 52.4188i −0.261144 0.406347i
\(130\) −148.285 11.1409i −1.14066 0.0856990i
\(131\) 17.6798 + 122.966i 0.134960 + 0.938670i 0.938957 + 0.344035i \(0.111794\pi\)
−0.803996 + 0.594634i \(0.797297\pi\)
\(132\) 1.92518 + 2.22178i 0.0145847 + 0.0168317i
\(133\) −7.30829 + 11.3719i −0.0549496 + 0.0855032i
\(134\) 116.891 + 101.286i 0.872318 + 0.755868i
\(135\) 65.4076 + 120.814i 0.484501 + 0.894922i
\(136\) 9.33665 4.26390i 0.0686518 0.0313522i
\(137\) 62.0133 0.452652 0.226326 0.974052i \(-0.427329\pi\)
0.226326 + 0.974052i \(0.427329\pi\)
\(138\) 60.1922 16.5518i 0.436176 0.119941i
\(139\) −122.591 −0.881951 −0.440976 0.897519i \(-0.645367\pi\)
−0.440976 + 0.897519i \(0.645367\pi\)
\(140\) −2.75315 3.70544i −0.0196654 0.0264674i
\(141\) 111.916 32.8616i 0.793733 0.233061i
\(142\) 86.9680 + 75.3582i 0.612451 + 0.530692i
\(143\) 13.5497 + 8.70785i 0.0947530 + 0.0608941i
\(144\) −13.9265 16.0720i −0.0967115 0.111611i
\(145\) 71.2690 + 193.195i 0.491511 + 1.33238i
\(146\) 130.324 + 38.2665i 0.892628 + 0.262099i
\(147\) 50.6219 + 78.7692i 0.344366 + 0.535845i
\(148\) −19.4991 + 135.619i −0.131751 + 0.916348i
\(149\) 15.6913 + 7.16596i 0.105311 + 0.0480937i 0.467374 0.884060i \(-0.345200\pi\)
−0.362063 + 0.932154i \(0.617928\pi\)
\(150\) 0.487274 67.8531i 0.00324849 0.452354i
\(151\) 6.34046 44.0989i 0.0419898 0.292045i −0.957996 0.286780i \(-0.907415\pi\)
0.999986 0.00526499i \(-0.00167591\pi\)
\(152\) 69.6765 44.7784i 0.458398 0.294594i
\(153\) −18.5120 5.43562i −0.120994 0.0355269i
\(154\) 0.0711582 + 0.494916i 0.000462066 + 0.00321374i
\(155\) 148.992 + 112.371i 0.961236 + 0.724972i
\(156\) 67.9076 + 43.6416i 0.435305 + 0.279754i
\(157\) 30.0764 34.7100i 0.191570 0.221083i −0.651837 0.758359i \(-0.726001\pi\)
0.843406 + 0.537276i \(0.180547\pi\)
\(158\) 29.5076 8.66422i 0.186757 0.0548369i
\(159\) −138.137 + 63.0851i −0.868786 + 0.396761i
\(160\) 5.91298 + 27.6593i 0.0369561 + 0.172871i
\(161\) 10.1343 + 3.16656i 0.0629458 + 0.0196681i
\(162\) 6.90834i 0.0426441i
\(163\) 31.0540 14.1819i 0.190516 0.0870055i −0.317873 0.948133i \(-0.602969\pi\)
0.508389 + 0.861128i \(0.330241\pi\)
\(164\) −70.7030 + 20.7603i −0.431116 + 0.126587i
\(165\) −3.54542 + 6.43789i −0.0214874 + 0.0390175i
\(166\) −68.5294 + 106.634i −0.412828 + 0.642372i
\(167\) 78.1416 67.7101i 0.467914 0.405450i −0.388735 0.921350i \(-0.627088\pi\)
0.856649 + 0.515900i \(0.172542\pi\)
\(168\) 0.356627 + 2.48039i 0.00212278 + 0.0147643i
\(169\) 262.184 + 76.9843i 1.55139 + 0.455528i
\(170\) 18.0794 + 18.2097i 0.106350 + 0.107116i
\(171\) −154.100 22.1562i −0.901170 0.129569i
\(172\) −26.9741 + 59.0650i −0.156826 + 0.343401i
\(173\) 21.9489 + 10.0237i 0.126872 + 0.0579407i 0.477840 0.878447i \(-0.341420\pi\)
−0.350967 + 0.936388i \(0.614147\pi\)
\(174\) 15.9083 110.645i 0.0914269 0.635888i
\(175\) 6.30894 9.66361i 0.0360511 0.0552206i
\(176\) 0.863105 2.93947i 0.00490401 0.0167015i
\(177\) −112.830 + 16.2225i −0.637458 + 0.0916526i
\(178\) −19.0478 21.9823i −0.107010 0.123496i
\(179\) −26.2910 16.8962i −0.146877 0.0943921i 0.465138 0.885238i \(-0.346005\pi\)
−0.612015 + 0.790846i \(0.709641\pi\)
\(180\) 25.6470 46.5706i 0.142483 0.258726i
\(181\) −55.3009 188.338i −0.305530 1.04054i −0.958957 0.283550i \(-0.908488\pi\)
0.653428 0.756989i \(-0.273330\pi\)
\(182\) 5.70329 + 12.4885i 0.0313367 + 0.0686179i
\(183\) 210.143 1.14832
\(184\) −48.4223 43.4429i −0.263165 0.236103i
\(185\) −334.967 + 71.6088i −1.81063 + 0.387075i
\(186\) −42.0827 92.1482i −0.226251 0.495420i
\(187\) −0.783040 2.66679i −0.00418738 0.0142609i
\(188\) −91.8615 79.5984i −0.488625 0.423396i
\(189\) 6.85751 10.6705i 0.0362831 0.0564577i
\(190\) 165.315 + 124.682i 0.870077 + 0.656220i
\(191\) −324.639 + 46.6761i −1.69968 + 0.244377i −0.922803 0.385272i \(-0.874108\pi\)
−0.776879 + 0.629650i \(0.783198\pi\)
\(192\) 4.32567 14.7319i 0.0225295 0.0767285i
\(193\) 29.5495 + 45.9799i 0.153106 + 0.238238i 0.909330 0.416075i \(-0.136595\pi\)
−0.756224 + 0.654312i \(0.772958\pi\)
\(194\) 96.6896 + 13.9019i 0.498400 + 0.0716591i
\(195\) −43.6045 + 197.038i −0.223613 + 1.01045i
\(196\) 40.5336 88.7562i 0.206804 0.452838i
\(197\) −15.5265 2.23237i −0.0788146 0.0113318i 0.102795 0.994703i \(-0.467222\pi\)
−0.181609 + 0.983371i \(0.558131\pi\)
\(198\) −4.84440 + 3.11331i −0.0244667 + 0.0157238i
\(199\) −19.7322 + 67.2017i −0.0991567 + 0.337697i −0.994098 0.108488i \(-0.965399\pi\)
0.894941 + 0.446184i \(0.147217\pi\)
\(200\) −59.7586 + 37.8009i −0.298793 + 0.189005i
\(201\) 158.632 137.455i 0.789214 0.683858i
\(202\) −69.4927 + 108.133i −0.344023 + 0.535311i
\(203\) 12.4501 14.3682i 0.0613307 0.0707794i
\(204\) −3.92440 13.3653i −0.0192373 0.0655161i
\(205\) −109.868 147.871i −0.535944 0.721321i
\(206\) 50.6572i 0.245909i
\(207\) 15.3121 + 121.319i 0.0739716 + 0.586080i
\(208\) 84.1192i 0.404419i
\(209\) −9.31673 20.4008i −0.0445776 0.0976114i
\(210\) −5.50919 + 2.98261i −0.0262342 + 0.0142029i
\(211\) −137.834 + 159.069i −0.653244 + 0.753884i −0.981658 0.190650i \(-0.938940\pi\)
0.328414 + 0.944534i \(0.393486\pi\)
\(212\) 133.130 + 85.5573i 0.627970 + 0.403572i
\(213\) 118.024 102.268i 0.554104 0.480134i
\(214\) −120.192 + 17.2810i −0.561645 + 0.0807524i
\(215\) −161.876 12.1619i −0.752911 0.0565672i
\(216\) −65.3788 + 42.0164i −0.302680 + 0.194520i
\(217\) 2.45201 17.0541i 0.0112996 0.0785904i
\(218\) 40.2995 88.2436i 0.184860 0.404787i
\(219\) 76.5729 167.671i 0.349648 0.765622i
\(220\) 7.64131 0.518947i 0.0347332 0.00235885i
\(221\) −41.2595 64.2011i −0.186695 0.290503i
\(222\) 178.410 + 52.3858i 0.803647 + 0.235972i
\(223\) −248.569 + 35.7388i −1.11466 + 0.160264i −0.674940 0.737873i \(-0.735831\pi\)
−0.439717 + 0.898136i \(0.644921\pi\)
\(224\) 1.97354 1.71008i 0.00881044 0.00763429i
\(225\) 131.422 + 19.8599i 0.584099 + 0.0882664i
\(226\) −14.7375 12.7701i −0.0652101 0.0565049i
\(227\) −291.589 + 85.6184i −1.28453 + 0.377173i −0.851572 0.524238i \(-0.824350\pi\)
−0.432963 + 0.901412i \(0.642532\pi\)
\(228\) −46.6931 102.244i −0.204794 0.448437i
\(229\) 272.566i 1.19024i −0.803636 0.595122i \(-0.797104\pi\)
0.803636 0.595122i \(-0.202896\pi\)
\(230\) 59.9980 151.163i 0.260861 0.657230i
\(231\) 0.678556 0.00293747
\(232\) −105.960 + 48.3904i −0.456725 + 0.208579i
\(233\) −87.4406 297.795i −0.375281 1.27809i −0.903355 0.428893i \(-0.858904\pi\)
0.528074 0.849198i \(-0.322914\pi\)
\(234\) −103.545 + 119.498i −0.442502 + 0.510674i
\(235\) 107.215 284.333i 0.456235 1.20993i
\(236\) 77.7894 + 89.7738i 0.329616 + 0.380397i
\(237\) −5.93956 41.3105i −0.0250614 0.174306i
\(238\) 0.667460 2.27316i 0.00280445 0.00955109i
\(239\) 241.648 155.298i 1.01108 0.649781i 0.0734063 0.997302i \(-0.476613\pi\)
0.937672 + 0.347522i \(0.112977\pi\)
\(240\) 38.2963 2.60083i 0.159568 0.0108368i
\(241\) 377.474 + 172.387i 1.56628 + 0.715297i 0.994463 0.105083i \(-0.0335107\pi\)
0.571819 + 0.820380i \(0.306238\pi\)
\(242\) 154.901 + 70.7411i 0.640089 + 0.292319i
\(243\) 235.494 + 33.8589i 0.969110 + 0.139337i
\(244\) −118.393 184.224i −0.485219 0.755015i
\(245\) 243.249 + 18.2756i 0.992853 + 0.0745943i
\(246\) 14.2317 + 98.9838i 0.0578525 + 0.402373i
\(247\) −403.273 465.401i −1.63268 1.88422i
\(248\) −57.0734 + 88.8079i −0.230135 + 0.358096i
\(249\) 130.004 + 112.649i 0.522105 + 0.452407i
\(250\) −140.368 107.457i −0.561471 0.429826i
\(251\) −195.951 + 89.4876i −0.780680 + 0.356524i −0.765563 0.643361i \(-0.777539\pi\)
−0.0151170 + 0.999886i \(0.504812\pi\)
\(252\) −4.90856 −0.0194784
\(253\) −13.5099 + 11.3043i −0.0533988 + 0.0446812i
\(254\) 184.032 0.724535
\(255\) 27.9526 20.7689i 0.109618 0.0814467i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −167.110 144.801i −0.650232 0.563429i 0.266052 0.963959i \(-0.414281\pi\)
−0.916284 + 0.400529i \(0.868826\pi\)
\(258\) 74.1314 + 47.6414i 0.287331 + 0.184656i
\(259\) 20.7098 + 23.9004i 0.0799608 + 0.0922797i
\(260\) 197.301 72.7837i 0.758851 0.279937i
\(261\) 210.090 + 61.6880i 0.804943 + 0.236352i
\(262\) −94.9841 147.798i −0.362535 0.564115i
\(263\) −17.5239 + 121.882i −0.0666309 + 0.463428i 0.929002 + 0.370074i \(0.120668\pi\)
−0.995633 + 0.0933537i \(0.970241\pi\)
\(264\) −3.78184 1.72711i −0.0143252 0.00654209i
\(265\) −85.4845 + 386.283i −0.322583 + 1.45767i
\(266\) 2.72065 18.9225i 0.0102280 0.0711373i
\(267\) −33.2073 + 21.3410i −0.124372 + 0.0799289i
\(268\) −209.874 61.6246i −0.783112 0.229942i
\(269\) 30.0575 + 209.055i 0.111738 + 0.777155i 0.966228 + 0.257688i \(0.0829606\pi\)
−0.854490 + 0.519468i \(0.826130\pi\)
\(270\) −155.118 116.991i −0.574511 0.433301i
\(271\) 315.226 + 202.583i 1.16319 + 0.747539i 0.972223 0.234056i \(-0.0752001\pi\)
0.190971 + 0.981596i \(0.438836\pi\)
\(272\) −9.50581 + 10.9703i −0.0349478 + 0.0403319i
\(273\) 17.8771 5.24918i 0.0654837 0.0192278i
\(274\) −79.7748 + 36.4319i −0.291149 + 0.132963i
\(275\) 7.82878 + 17.4736i 0.0284683 + 0.0635405i
\(276\) −67.7082 + 56.6545i −0.245320 + 0.205270i
\(277\) 86.5209i 0.312350i −0.987729 0.156175i \(-0.950084\pi\)
0.987729 0.156175i \(-0.0499164\pi\)
\(278\) 157.703 72.0206i 0.567277 0.259067i
\(279\) 190.394 55.9047i 0.682416 0.200375i
\(280\) 5.71858 + 3.14929i 0.0204235 + 0.0112475i
\(281\) −41.6675 + 64.8358i −0.148283 + 0.230732i −0.907447 0.420167i \(-0.861972\pi\)
0.759164 + 0.650899i \(0.225608\pi\)
\(282\) −124.665 + 108.023i −0.442075 + 0.383060i
\(283\) 5.53823 + 38.5192i 0.0195697 + 0.136110i 0.997264 0.0739229i \(-0.0235519\pi\)
−0.977694 + 0.210033i \(0.932643\pi\)
\(284\) −156.149 45.8494i −0.549819 0.161442i
\(285\) 199.411 197.984i 0.699688 0.694681i
\(286\) −22.5462 3.24166i −0.0788330 0.0113345i
\(287\) −7.06547 + 15.4712i −0.0246184 + 0.0539067i
\(288\) 27.3572 + 12.4936i 0.0949904 + 0.0433807i
\(289\) 39.2548 273.023i 0.135830 0.944717i
\(290\) −205.181 206.660i −0.707521 0.712620i
\(291\) 37.3483 127.197i 0.128345 0.437102i
\(292\) −190.131 + 27.3368i −0.651135 + 0.0936190i
\(293\) −235.585 271.880i −0.804045 0.927918i 0.194550 0.980893i \(-0.437675\pi\)
−0.998596 + 0.0529747i \(0.983130\pi\)
\(294\) −111.396 71.5901i −0.378899 0.243504i
\(295\) −143.257 + 260.131i −0.485618 + 0.881800i
\(296\) −54.5905 185.918i −0.184427 0.628102i
\(297\) 8.74207 + 19.1425i 0.0294346 + 0.0644527i
\(298\) −24.3954 −0.0818636
\(299\) −268.480 + 402.331i −0.897926 + 1.34559i
\(300\) 39.2359 + 87.5735i 0.130786 + 0.291912i
\(301\) 6.22600 + 13.6330i 0.0206844 + 0.0452925i
\(302\) 17.7510 + 60.4543i 0.0587781 + 0.200180i
\(303\) 131.832 + 114.233i 0.435088 + 0.377006i
\(304\) −63.3262 + 98.5374i −0.208310 + 0.324136i
\(305\) 329.657 437.090i 1.08084 1.43308i
\(306\) 27.0075 3.88309i 0.0882596 0.0126898i
\(307\) 94.6021 322.185i 0.308150 1.04946i −0.649220 0.760600i \(-0.724905\pi\)
0.957371 0.288863i \(-0.0932771\pi\)
\(308\) −0.382295 0.594862i −0.00124122 0.00193137i
\(309\) −68.0471 9.78369i −0.220217 0.0316624i
\(310\) −257.681 57.0248i −0.831229 0.183951i
\(311\) −218.247 + 477.895i −0.701760 + 1.53664i 0.136065 + 0.990700i \(0.456554\pi\)
−0.837825 + 0.545940i \(0.816173\pi\)
\(312\) −112.996 16.2464i −0.362167 0.0520717i
\(313\) −162.422 + 104.383i −0.518921 + 0.333491i −0.773745 0.633497i \(-0.781619\pi\)
0.254824 + 0.966988i \(0.417983\pi\)
\(314\) −18.2991 + 62.3209i −0.0582773 + 0.198474i
\(315\) −4.24711 11.5130i −0.0134829 0.0365493i
\(316\) −32.8689 + 28.4811i −0.104016 + 0.0901300i
\(317\) 61.7589 96.0987i 0.194823 0.303150i −0.730074 0.683368i \(-0.760515\pi\)
0.924897 + 0.380218i \(0.124151\pi\)
\(318\) 140.640 162.307i 0.442264 0.510399i
\(319\) 8.88661 + 30.2650i 0.0278577 + 0.0948746i
\(320\) −23.8560 32.1075i −0.0745499 0.100336i
\(321\) 164.790i 0.513364i
\(322\) −14.8972 + 1.88023i −0.0462645 + 0.00583923i
\(323\) 106.266i 0.328997i
\(324\) 4.05855 + 8.88699i 0.0125264 + 0.0274290i
\(325\) 341.428 + 399.794i 1.05055 + 1.23014i
\(326\) −31.6167 + 36.4876i −0.0969837 + 0.111925i
\(327\) −110.753 71.1766i −0.338694 0.217666i
\(328\) 78.7569 68.2433i 0.240113 0.208059i
\(329\) −27.7700 + 3.99272i −0.0844072 + 0.0121359i
\(330\) 0.778712 10.3647i 0.00235973 0.0314081i
\(331\) 111.486 71.6479i 0.336817 0.216459i −0.361289 0.932454i \(-0.617663\pi\)
0.698105 + 0.715995i \(0.254027\pi\)
\(332\) 25.5113 177.435i 0.0768414 0.534444i
\(333\) −151.304 + 331.309i −0.454365 + 0.994920i
\(334\) −60.7437 + 133.010i −0.181867 + 0.398234i
\(335\) −37.0521 545.579i −0.110603 1.62859i
\(336\) −1.91597 2.98130i −0.00570228 0.00887292i
\(337\) −168.743 49.5473i −0.500720 0.147025i 0.0216126 0.999766i \(-0.493120\pi\)
−0.522333 + 0.852742i \(0.674938\pi\)
\(338\) −382.505 + 54.9959i −1.13167 + 0.162710i
\(339\) −20.0002 + 17.3303i −0.0589977 + 0.0511218i
\(340\) −33.9556 12.8039i −0.0998695 0.0376584i
\(341\) 21.6035 + 18.7196i 0.0633534 + 0.0548961i
\(342\) 211.253 62.0295i 0.617699 0.181373i
\(343\) −18.7523 41.0619i −0.0546716 0.119714i
\(344\) 91.8289i 0.266944i
\(345\) −191.467 109.789i −0.554977 0.318230i
\(346\) −34.1242 −0.0986249
\(347\) 16.2035 7.39991i 0.0466961 0.0213254i −0.391930 0.919995i \(-0.628193\pi\)
0.438626 + 0.898670i \(0.355465\pi\)
\(348\) 44.5374 + 151.681i 0.127981 + 0.435864i
\(349\) 34.0765 39.3264i 0.0976405 0.112683i −0.704826 0.709380i \(-0.748975\pi\)
0.802467 + 0.596697i \(0.203521\pi\)
\(350\) −2.43868 + 16.1378i −0.00696765 + 0.0461080i
\(351\) 378.399 + 436.695i 1.07806 + 1.24415i
\(352\) 0.616584 + 4.28843i 0.00175166 + 0.0121830i
\(353\) −98.9849 + 337.112i −0.280410 + 0.954990i 0.692036 + 0.721863i \(0.256714\pi\)
−0.972446 + 0.233127i \(0.925104\pi\)
\(354\) 135.616 87.1548i 0.383095 0.246200i
\(355\) −27.5672 405.917i −0.0776541 1.14343i
\(356\) 37.4176 + 17.0880i 0.105106 + 0.0480001i
\(357\) −2.92459 1.33561i −0.00819212 0.00374122i
\(358\) 43.7474 + 6.28992i 0.122199 + 0.0175696i
\(359\) −217.941 339.123i −0.607079 0.944633i −0.999689 0.0249283i \(-0.992064\pi\)
0.392610 0.919705i \(-0.371572\pi\)
\(360\) −5.63307 + 74.9764i −0.0156474 + 0.208268i
\(361\) 70.6578 + 491.436i 0.195728 + 1.36132i
\(362\) 181.785 + 209.792i 0.502170 + 0.579535i
\(363\) 124.942 194.414i 0.344194 0.535576i
\(364\) −14.6736 12.7147i −0.0403120 0.0349306i
\(365\) −228.628 422.299i −0.626379 1.15698i
\(366\) −270.331 + 123.456i −0.738609 + 0.337311i
\(367\) 484.966 1.32143 0.660717 0.750635i \(-0.270253\pi\)
0.660717 + 0.750635i \(0.270253\pi\)
\(368\) 87.8131 + 27.4381i 0.238623 + 0.0745602i
\(369\) −195.883 −0.530849
\(370\) 388.836 288.907i 1.05091 0.780829i
\(371\) 35.0472 10.2908i 0.0944667 0.0277379i
\(372\) 108.271 + 93.8177i 0.291052 + 0.252198i
\(373\) 155.779 + 100.113i 0.417638 + 0.268399i 0.732539 0.680725i \(-0.238335\pi\)
−0.314902 + 0.949124i \(0.601971\pi\)
\(374\) 2.57401 + 2.97057i 0.00688239 + 0.00794270i
\(375\) −171.455 + 167.800i −0.457212 + 0.447467i
\(376\) 164.935 + 48.4292i 0.438656 + 0.128801i
\(377\) 468.248 + 728.609i 1.24204 + 1.93265i
\(378\) −2.55284 + 17.7554i −0.00675354 + 0.0469719i
\(379\) 301.401 + 137.645i 0.795253 + 0.363180i 0.771250 0.636532i \(-0.219632\pi\)
0.0240026 + 0.999712i \(0.492359\pi\)
\(380\) −285.912 63.2723i −0.752399 0.166506i
\(381\) 35.5430 247.207i 0.0932888 0.648838i
\(382\) 390.199 250.766i 1.02146 0.656455i
\(383\) 247.372 + 72.6350i 0.645880 + 0.189647i 0.588235 0.808690i \(-0.299823\pi\)
0.0576445 + 0.998337i \(0.481641\pi\)
\(384\) 3.09016 + 21.4926i 0.00804730 + 0.0559702i
\(385\) 1.06447 1.41137i 0.00276485 0.00366590i
\(386\) −65.0254 41.7893i −0.168459 0.108262i
\(387\) −113.035 + 130.450i −0.292081 + 0.337080i
\(388\) −132.550 + 38.9202i −0.341624 + 0.100310i
\(389\) −94.9168 + 43.3471i −0.244002 + 0.111432i −0.533663 0.845697i \(-0.679185\pi\)
0.289661 + 0.957129i \(0.406458\pi\)
\(390\) −59.6634 279.089i −0.152983 0.715613i
\(391\) 80.4784 22.1301i 0.205827 0.0565988i
\(392\) 137.990i 0.352016i
\(393\) −216.880 + 99.0457i −0.551857 + 0.252025i
\(394\) 21.2850 6.24983i 0.0540227 0.0158625i
\(395\) −95.2419 52.4508i −0.241119 0.132787i
\(396\) 4.40288 6.85102i 0.0111184 0.0173006i
\(397\) −390.900 + 338.717i −0.984635 + 0.853191i −0.989166 0.146798i \(-0.953103\pi\)
0.00453099 + 0.999990i \(0.498558\pi\)
\(398\) −14.0962 98.0415i −0.0354177 0.246335i
\(399\) −24.8929 7.30921i −0.0623882 0.0183188i
\(400\) 54.6668 83.7349i 0.136667 0.209337i
\(401\) −202.146 29.0643i −0.504106 0.0724794i −0.114429 0.993431i \(-0.536504\pi\)
−0.389676 + 0.920952i \(0.627413\pi\)
\(402\) −123.313 + 270.019i −0.306750 + 0.671688i
\(403\) 713.971 + 326.060i 1.77164 + 0.809081i
\(404\) 25.8700 179.929i 0.0640345 0.445370i
\(405\) −17.3328 + 17.2087i −0.0427969 + 0.0424907i
\(406\) −7.57490 + 25.7977i −0.0186574 + 0.0635412i
\(407\) −51.9349 + 7.46711i −0.127604 + 0.0183467i
\(408\) 12.9003 + 14.8878i 0.0316184 + 0.0364896i
\(409\) 23.1887 + 14.9024i 0.0566960 + 0.0364363i 0.568682 0.822558i \(-0.307454\pi\)
−0.511986 + 0.858994i \(0.671090\pi\)
\(410\) 228.208 + 125.677i 0.556606 + 0.306529i
\(411\) 33.5311 + 114.197i 0.0815843 + 0.277850i
\(412\) 29.7604 + 65.1662i 0.0722340 + 0.158170i
\(413\) 27.4179 0.0663872
\(414\) −90.9707 147.070i −0.219736 0.355242i
\(415\) 438.247 93.6881i 1.05602 0.225754i
\(416\) 49.4188 + 108.212i 0.118795 + 0.260125i
\(417\) −66.2861 225.750i −0.158959 0.541366i
\(418\) 23.9703 + 20.7704i 0.0573453 + 0.0496900i
\(419\) 350.071 544.721i 0.835492 1.30005i −0.116271 0.993217i \(-0.537094\pi\)
0.951763 0.306833i \(-0.0992694\pi\)
\(420\) 5.33485 7.07344i 0.0127020 0.0168415i
\(421\) 91.4432 13.1475i 0.217205 0.0312293i −0.0328533 0.999460i \(-0.510459\pi\)
0.250058 + 0.968231i \(0.419550\pi\)
\(422\) 83.8612 285.605i 0.198723 0.676789i
\(423\) −174.689 271.822i −0.412977 0.642604i
\(424\) −221.524 31.8503i −0.522461 0.0751186i
\(425\) 0.651496 90.7212i 0.00153293 0.213462i
\(426\) −91.7466 + 200.897i −0.215368 + 0.471589i
\(427\) −50.0309 7.19336i −0.117168 0.0168463i
\(428\) 144.464 92.8417i 0.337534 0.216920i
\(429\) −8.70894 + 29.6599i −0.0203006 + 0.0691374i
\(430\) 215.384 79.4544i 0.500894 0.184778i
\(431\) −90.2680 + 78.2177i −0.209439 + 0.181480i −0.753263 0.657720i \(-0.771521\pi\)
0.543824 + 0.839199i \(0.316976\pi\)
\(432\) 59.4202 92.4596i 0.137547 0.214027i
\(433\) −499.920 + 576.938i −1.15455 + 1.33242i −0.220454 + 0.975397i \(0.570754\pi\)
−0.934095 + 0.357024i \(0.883791\pi\)
\(434\) 6.86475 + 23.3792i 0.0158174 + 0.0538691i
\(435\) −317.230 + 235.703i −0.729265 + 0.541846i
\(436\) 137.193i 0.314663i
\(437\) 617.378 269.176i 1.41277 0.615964i
\(438\) 260.680i 0.595160i
\(439\) −325.544 712.843i −0.741559 1.62379i −0.780973 0.624565i \(-0.785276\pi\)
0.0394137 0.999223i \(-0.487451\pi\)
\(440\) −9.52501 + 5.15674i −0.0216477 + 0.0117199i
\(441\) 169.857 196.026i 0.385164 0.444502i
\(442\) 90.7941 + 58.3498i 0.205416 + 0.132013i
\(443\) −293.320 + 254.164i −0.662123 + 0.573733i −0.919747 0.392513i \(-0.871606\pi\)
0.257624 + 0.966245i \(0.417060\pi\)
\(444\) −260.284 + 37.4233i −0.586226 + 0.0842866i
\(445\) −7.70457 + 102.548i −0.0173136 + 0.230445i
\(446\) 298.766 192.005i 0.669879 0.430505i
\(447\) −4.71160 + 32.7699i −0.0105405 + 0.0733108i
\(448\) −1.53414 + 3.35930i −0.00342442 + 0.00749843i
\(449\) −243.510 + 533.213i −0.542339 + 1.18756i 0.417929 + 0.908479i \(0.362756\pi\)
−0.960269 + 0.279077i \(0.909971\pi\)
\(450\) −180.731 + 51.6605i −0.401624 + 0.114801i
\(451\) −15.2560 23.7389i −0.0338271 0.0526360i
\(452\) 26.4608 + 7.76958i 0.0585415 + 0.0171893i
\(453\) 84.6357 12.1688i 0.186834 0.0268626i
\(454\) 324.805 281.445i 0.715430 0.619923i
\(455\) 17.1261 45.4182i 0.0376398 0.0998201i
\(456\) 120.133 + 104.096i 0.263450 + 0.228281i
\(457\) 584.530 171.634i 1.27906 0.375566i 0.429504 0.903065i \(-0.358688\pi\)
0.849556 + 0.527499i \(0.176870\pi\)
\(458\) 160.128 + 350.632i 0.349625 + 0.765573i
\(459\) 99.7115i 0.217236i
\(460\) 11.6238 + 229.706i 0.0252691 + 0.499361i
\(461\) −573.210 −1.24341 −0.621703 0.783253i \(-0.713559\pi\)
−0.621703 + 0.783253i \(0.713559\pi\)
\(462\) −0.872904 + 0.398642i −0.00188940 + 0.000862861i
\(463\) −18.1715 61.8863i −0.0392472 0.133664i 0.937539 0.347880i \(-0.113098\pi\)
−0.976786 + 0.214216i \(0.931280\pi\)
\(464\) 107.880 124.500i 0.232500 0.268319i
\(465\) −126.368 + 335.125i −0.271759 + 0.720700i
\(466\) 287.435 + 331.718i 0.616814 + 0.711841i
\(467\) −10.2154 71.0496i −0.0218745 0.152141i 0.975957 0.217964i \(-0.0699416\pi\)
−0.997831 + 0.0658237i \(0.979033\pi\)
\(468\) 62.9991 214.555i 0.134613 0.458451i
\(469\) −42.4724 + 27.2953i −0.0905594 + 0.0581990i
\(470\) 29.1183 + 428.757i 0.0619539 + 0.912249i
\(471\) 80.1805 + 36.6172i 0.170235 + 0.0777436i
\(472\) −152.810 69.7861i −0.323750 0.147852i
\(473\) −24.6126 3.53876i −0.0520351 0.00748152i
\(474\) 31.9101 + 49.6530i 0.0673208 + 0.104753i
\(475\) −98.9786 725.351i −0.208376 1.52705i
\(476\) 0.476818 + 3.31635i 0.00100172 + 0.00696711i
\(477\) 275.485 + 317.927i 0.577538 + 0.666514i
\(478\) −219.624 + 341.741i −0.459464 + 0.714940i
\(479\) 170.440 + 147.687i 0.355825 + 0.308324i 0.814369 0.580348i \(-0.197083\pi\)
−0.458544 + 0.888672i \(0.651629\pi\)
\(480\) −47.7370 + 25.8443i −0.0994520 + 0.0538422i
\(481\) −1310.50 + 598.484i −2.72453 + 1.24425i
\(482\) −586.863 −1.21756
\(483\) −0.351481 + 20.3743i −0.000727704 + 0.0421828i
\(484\) −240.827 −0.497576
\(485\) −205.975 277.220i −0.424691 0.571588i
\(486\) −322.834 + 94.7926i −0.664267 + 0.195047i
\(487\) −200.443 173.685i −0.411587 0.356642i 0.424321 0.905512i \(-0.360513\pi\)
−0.835908 + 0.548870i \(0.815058\pi\)
\(488\) 260.532 + 167.434i 0.533876 + 0.343102i
\(489\) 42.9069 + 49.5172i 0.0877442 + 0.101262i
\(490\) −323.655 + 119.395i −0.660521 + 0.243664i
\(491\) 700.984 + 205.827i 1.42767 + 0.419200i 0.902091 0.431547i \(-0.142032\pi\)
0.525575 + 0.850747i \(0.323850\pi\)
\(492\) −76.4594 118.973i −0.155405 0.241815i
\(493\) 21.2697 147.934i 0.0431435 0.300070i
\(494\) 792.192 + 361.782i 1.60363 + 0.732352i
\(495\) 19.8786 + 4.39914i 0.0401588 + 0.00888715i
\(496\) 21.2466 147.774i 0.0428359 0.297930i
\(497\) −31.5999 + 20.3081i −0.0635814 + 0.0408613i
\(498\) −233.419 68.5380i −0.468713 0.137626i
\(499\) 125.380 + 872.037i 0.251263 + 1.74757i 0.590655 + 0.806924i \(0.298869\pi\)
−0.339392 + 0.940645i \(0.610221\pi\)
\(500\) 243.700 + 55.7696i 0.487400 + 0.111539i
\(501\) 166.939 + 107.285i 0.333211 + 0.214142i
\(502\) 199.501 230.236i 0.397412 0.458638i
\(503\) 292.407 85.8586i 0.581327 0.170693i 0.0221692 0.999754i \(-0.492943\pi\)
0.559158 + 0.829061i \(0.311125\pi\)
\(504\) 6.31444 2.88371i 0.0125287 0.00572165i
\(505\) 444.408 95.0051i 0.880015 0.188129i
\(506\) 10.7382 22.4789i 0.0212217 0.0444248i
\(507\) 524.434i 1.03439i
\(508\) −236.741 + 108.116i −0.466026 + 0.212827i
\(509\) 492.191 144.520i 0.966976 0.283930i 0.240138 0.970739i \(-0.422807\pi\)
0.726838 + 0.686809i \(0.240989\pi\)
\(510\) −23.7572 + 43.1392i −0.0465828 + 0.0845866i
\(511\) −23.9700 + 37.2981i −0.0469081 + 0.0729904i
\(512\) 17.1007 14.8178i 0.0333997 0.0289410i
\(513\) −114.506 796.409i −0.223209 1.55246i
\(514\) 300.041 + 88.1000i 0.583737 + 0.171401i
\(515\) −127.097 + 126.188i −0.246790 + 0.245024i
\(516\) −123.352 17.7354i −0.239055 0.0343709i
\(517\) 19.3364 42.3407i 0.0374011 0.0818969i
\(518\) −40.6826 18.5791i −0.0785378 0.0358670i
\(519\) −6.59058 + 45.8385i −0.0126986 + 0.0883208i
\(520\) −211.052 + 209.542i −0.405869 + 0.402965i
\(521\) −218.494 + 744.121i −0.419374 + 1.42826i 0.431131 + 0.902289i \(0.358115\pi\)
−0.850505 + 0.525967i \(0.823704\pi\)
\(522\) −306.504 + 44.0686i −0.587172 + 0.0844225i
\(523\) 149.866 + 172.954i 0.286550 + 0.330697i 0.880715 0.473647i \(-0.157063\pi\)
−0.594165 + 0.804344i \(0.702517\pi\)
\(524\) 209.018 + 134.328i 0.398890 + 0.256351i
\(525\) 21.2067 + 6.39262i 0.0403937 + 0.0121764i
\(526\) −49.0607 167.085i −0.0932712 0.317653i
\(527\) −56.2655 123.204i −0.106766 0.233784i
\(528\) 5.87967 0.0111357
\(529\) −332.426 411.502i −0.628404 0.777887i
\(530\) −116.967 547.141i −0.220693 1.03234i
\(531\) 131.176 + 287.236i 0.247036 + 0.540934i
\(532\) 7.61683 + 25.9405i 0.0143173 + 0.0487604i
\(533\) −585.571 507.400i −1.09863 0.951970i
\(534\) 30.1807 46.9621i 0.0565182 0.0879441i
\(535\) 342.757 + 258.510i 0.640667 + 0.483196i
\(536\) 306.188 44.0232i 0.571247 0.0821329i
\(537\) 16.8983 57.5503i 0.0314680 0.107170i
\(538\) −161.483 251.273i −0.300155 0.467050i
\(539\) 36.9851 + 5.31766i 0.0686180 + 0.00986578i
\(540\) 268.277 + 59.3697i 0.496809 + 0.109944i
\(541\) 374.809 820.717i 0.692808 1.51704i −0.155671 0.987809i \(-0.549754\pi\)
0.848479 0.529229i \(-0.177519\pi\)
\(542\) −524.525 75.4153i −0.967759 0.139143i
\(543\) 316.919 203.671i 0.583644 0.375085i
\(544\) 5.78352 19.6969i 0.0106315 0.0362075i
\(545\) −321.786 + 118.706i −0.590433 + 0.217808i
\(546\) −19.9135 + 17.2551i −0.0364716 + 0.0316028i
\(547\) 156.802 243.989i 0.286658 0.446048i −0.667823 0.744320i \(-0.732774\pi\)
0.954481 + 0.298272i \(0.0964101\pi\)
\(548\) 81.2202 93.7331i 0.148212 0.171046i
\(549\) −164.005 558.550i −0.298734 1.01740i
\(550\) −20.3366 17.8790i −0.0369756 0.0325073i
\(551\) 1206.00i 2.18874i
\(552\) 53.8170 112.659i 0.0974946 0.204092i
\(553\) 10.0385i 0.0181529i
\(554\) 50.8298 + 111.302i 0.0917505 + 0.200906i
\(555\) −312.986 578.116i −0.563938 1.04165i
\(556\) −160.560 + 185.297i −0.288778 + 0.333267i
\(557\) −508.840 327.012i −0.913537 0.587094i −0.00276118 0.999996i \(-0.500879\pi\)
−0.910776 + 0.412902i \(0.864515\pi\)
\(558\) −212.082 + 183.770i −0.380076 + 0.329337i
\(559\) −675.813 + 97.1672i −1.20897 + 0.173823i
\(560\) −9.20663 0.691706i −0.0164404 0.00123519i
\(561\) 4.48745 2.88391i 0.00799903 0.00514066i
\(562\) 15.5115 107.885i 0.0276005 0.191966i
\(563\) 101.354 221.934i 0.180025 0.394199i −0.798009 0.602645i \(-0.794113\pi\)
0.978034 + 0.208446i \(0.0668407\pi\)
\(564\) 96.9089 212.201i 0.171824 0.376243i
\(565\) 4.67150 + 68.7862i 0.00826814 + 0.121745i
\(566\) −29.7539 46.2980i −0.0525688 0.0817986i
\(567\) 2.16368 + 0.635314i 0.00381602 + 0.00112048i
\(568\) 227.808 32.7538i 0.401070 0.0576652i
\(569\) −812.384 + 703.934i −1.42774 + 1.23714i −0.498900 + 0.866660i \(0.666263\pi\)
−0.928839 + 0.370483i \(0.879192\pi\)
\(570\) −140.212 + 371.841i −0.245987 + 0.652352i
\(571\) 7.08206 + 6.13664i 0.0124029 + 0.0107472i 0.661040 0.750351i \(-0.270115\pi\)
−0.648637 + 0.761098i \(0.724661\pi\)
\(572\) 30.9082 9.07547i 0.0540353 0.0158662i
\(573\) −261.488 572.580i −0.456350 0.999267i
\(574\) 24.0532i 0.0419046i
\(575\) −528.717 + 226.015i −0.919508 + 0.393070i
\(576\) −42.5326 −0.0738413
\(577\) −110.540 + 50.4821i −0.191578 + 0.0874907i −0.508894 0.860829i \(-0.669946\pi\)
0.317316 + 0.948320i \(0.397218\pi\)
\(578\) 109.899 + 374.282i 0.190137 + 0.647548i
\(579\) −68.6936 + 79.2766i −0.118642 + 0.136920i
\(580\) 385.357 + 145.309i 0.664409 + 0.250533i
\(581\) −27.0954 31.2697i −0.0466357 0.0538205i
\(582\) 26.6808 + 185.569i 0.0458433 + 0.318847i
\(583\) −17.0735 + 58.1469i −0.0292856 + 0.0997374i
\(584\) 228.528 146.866i 0.391314 0.251482i
\(585\) 557.748 37.8785i 0.953415 0.0647496i
\(586\) 462.786 + 211.347i 0.789737 + 0.360661i
\(587\) −253.029 115.555i −0.431055 0.196856i 0.188058 0.982158i \(-0.439781\pi\)
−0.619113 + 0.785302i \(0.712508\pi\)
\(588\) 185.360 + 26.6508i 0.315238 + 0.0453244i
\(589\) −590.885 919.435i −1.00320 1.56101i
\(590\) 31.4648 418.798i 0.0533302 0.709827i
\(591\) −4.28442 29.7988i −0.00724944 0.0504210i
\(592\) 179.450 + 207.097i 0.303126 + 0.349825i
\(593\) −200.895 + 312.598i −0.338777 + 0.527147i −0.968285 0.249847i \(-0.919620\pi\)
0.629509 + 0.776993i \(0.283256\pi\)
\(594\) −22.4918 19.4893i −0.0378650 0.0328102i
\(595\) −7.36591 + 3.98782i −0.0123797 + 0.00670223i
\(596\) 31.3825 14.3319i 0.0526553 0.0240468i
\(597\) −134.420 −0.225159
\(598\) 109.012 675.292i 0.182295 1.12925i
\(599\) 385.432 0.643459 0.321730 0.946832i \(-0.395736\pi\)
0.321730 + 0.946832i \(0.395736\pi\)
\(600\) −101.922 89.6052i −0.169870 0.149342i
\(601\) −73.5933 + 21.6089i −0.122451 + 0.0359550i −0.342384 0.939560i \(-0.611234\pi\)
0.219933 + 0.975515i \(0.429416\pi\)
\(602\) −16.0184 13.8800i −0.0266087 0.0230566i
\(603\) −489.154 314.360i −0.811200 0.521327i
\(604\) −58.3511 67.3408i −0.0966079 0.111491i
\(605\) −208.374 564.858i −0.344420 0.933650i
\(606\) −236.700 69.5014i −0.390594 0.114689i
\(607\) 306.828 + 477.434i 0.505483 + 0.786547i 0.996410 0.0846537i \(-0.0269784\pi\)
−0.490928 + 0.871200i \(0.663342\pi\)
\(608\) 23.5743 163.963i 0.0387736 0.269676i
\(609\) 33.1907 + 15.1577i 0.0545004 + 0.0248895i
\(610\) −167.291 + 755.947i −0.274248 + 1.23926i
\(611\) 181.891 1265.08i 0.297694 2.07051i
\(612\) −32.4615 + 20.8617i −0.0530417 + 0.0340878i
\(613\) 563.307 + 165.402i 0.918935 + 0.269824i 0.706797 0.707416i \(-0.250139\pi\)
0.212138 + 0.977240i \(0.431957\pi\)
\(614\) 67.5817 + 470.041i 0.110068 + 0.765539i
\(615\) 212.895 282.276i 0.346171 0.458986i
\(616\) 0.841262 + 0.540647i 0.00136569 + 0.000877673i
\(617\) −452.503 + 522.216i −0.733392 + 0.846380i −0.992849 0.119375i \(-0.961911\pi\)
0.259457 + 0.965755i \(0.416456\pi\)
\(618\) 93.2845 27.3908i 0.150946 0.0443217i
\(619\) 466.868 213.211i 0.754229 0.344445i −0.000918844 1.00000i \(-0.500292\pi\)
0.755148 + 0.655555i \(0.227565\pi\)
\(620\) 364.986 78.0263i 0.588687 0.125849i
\(621\) −579.298 + 252.573i −0.932847 + 0.406720i
\(622\) 742.988i 1.19451i
\(623\) 8.63651 3.94416i 0.0138628 0.00633092i
\(624\) 154.904 45.4840i 0.248244 0.0728910i
\(625\) 80.0528 + 619.852i 0.128084 + 0.991763i
\(626\) 147.619 229.700i 0.235813 0.366933i
\(627\) 32.5301 28.1875i 0.0518821 0.0449561i
\(628\) −13.0725 90.9209i −0.0208160 0.144779i
\(629\) 238.538 + 70.0410i 0.379233 + 0.111353i
\(630\) 12.2273 + 12.3154i 0.0194084 + 0.0195482i
\(631\) 627.758 + 90.2580i 0.994862 + 0.143040i 0.620470 0.784231i \(-0.286942\pi\)
0.374393 + 0.927270i \(0.377851\pi\)
\(632\) 25.5508 55.9485i 0.0404285 0.0885261i
\(633\) −367.452 167.810i −0.580493 0.265102i
\(634\) −22.9909 + 159.905i −0.0362632 + 0.252216i
\(635\) −458.425 461.729i −0.721929 0.727132i
\(636\) −85.5680 + 291.418i −0.134541 + 0.458204i
\(637\) 1015.54 146.012i 1.59425 0.229218i
\(638\) −29.2121 33.7126i −0.0457870 0.0528410i
\(639\) −363.936 233.888i −0.569540 0.366021i
\(640\) 49.5514 + 27.2885i 0.0774240 + 0.0426383i
\(641\) 83.7025 + 285.064i 0.130581 + 0.444718i 0.998662 0.0517036i \(-0.0164651\pi\)
−0.868081 + 0.496422i \(0.834647\pi\)
\(642\) −96.8116 211.988i −0.150797 0.330199i
\(643\) −311.748 −0.484834 −0.242417 0.970172i \(-0.577940\pi\)
−0.242417 + 0.970172i \(0.577940\pi\)
\(644\) 18.0593 11.1706i 0.0280424 0.0173457i
\(645\) −65.1316 304.668i −0.100979 0.472353i
\(646\) −62.4298 136.702i −0.0966405 0.211613i
\(647\) 245.193 + 835.049i 0.378968 + 1.29065i 0.899543 + 0.436832i \(0.143899\pi\)
−0.520575 + 0.853816i \(0.674282\pi\)
\(648\) −10.4420 9.04801i −0.0161141 0.0139630i
\(649\) −24.5933 + 38.2680i −0.0378942 + 0.0589645i
\(650\) −674.091 313.717i −1.03706 0.482641i
\(651\) 32.7307 4.70597i 0.0502776 0.00722883i
\(652\) 19.2362 65.5125i 0.0295034 0.100479i
\(653\) −375.613 584.465i −0.575211 0.895046i 0.424736 0.905317i \(-0.360367\pi\)
−0.999947 + 0.0102709i \(0.996731\pi\)
\(654\) 184.289 + 26.4968i 0.281788 + 0.0405150i
\(655\) −134.214 + 606.478i −0.204906 + 0.925920i
\(656\) −61.2221 + 134.058i −0.0933264 + 0.204356i
\(657\) −505.423 72.6689i −0.769290 0.110607i
\(658\) 33.3780 21.4507i 0.0507264 0.0325999i
\(659\) 162.296 552.729i 0.246276 0.838738i −0.739855 0.672767i \(-0.765106\pi\)
0.986131 0.165972i \(-0.0530760\pi\)
\(660\) 5.08735 + 13.7907i 0.00770811 + 0.0208951i
\(661\) 356.538 308.942i 0.539392 0.467386i −0.342047 0.939683i \(-0.611120\pi\)
0.881440 + 0.472297i \(0.156575\pi\)
\(662\) −101.325 + 157.666i −0.153060 + 0.238165i
\(663\) 95.9159 110.693i 0.144670 0.166958i
\(664\) 71.4225 + 243.243i 0.107564 + 0.366329i
\(665\) −54.2530 + 40.3101i −0.0815835 + 0.0606168i
\(666\) 515.088i 0.773406i
\(667\) −913.338 + 251.152i −1.36932 + 0.376539i
\(668\) 206.792i 0.309569i
\(669\) −200.216 438.411i −0.299276 0.655323i
\(670\) 368.184 + 680.073i 0.549528 + 1.01503i
\(671\) 54.9167 63.3772i 0.0818431 0.0944519i
\(672\) 4.21620 + 2.70958i 0.00627410 + 0.00403212i
\(673\) −30.6386 + 26.5485i −0.0455254 + 0.0394480i −0.677326 0.735683i \(-0.736861\pi\)
0.631801 + 0.775131i \(0.282316\pi\)
\(674\) 246.181 35.3955i 0.365254 0.0525156i
\(675\) 92.8735 + 680.611i 0.137590 + 1.00831i
\(676\) 459.750 295.463i 0.680104 0.437076i
\(677\) 84.1561 585.319i 0.124307 0.864577i −0.828281 0.560314i \(-0.810681\pi\)
0.952588 0.304263i \(-0.0984103\pi\)
\(678\) 15.5473 34.0437i 0.0229311 0.0502120i
\(679\) −13.2459 + 29.0046i −0.0195080 + 0.0427166i
\(680\) 51.2031 3.47737i 0.0752986 0.00511378i
\(681\) −315.330 490.663i −0.463039 0.720503i
\(682\) −38.7885 11.3893i −0.0568747 0.0166999i
\(683\) 854.069 122.797i 1.25047 0.179790i 0.514905 0.857247i \(-0.327827\pi\)
0.735562 + 0.677457i \(0.236918\pi\)
\(684\) −235.317 + 203.904i −0.344031 + 0.298105i
\(685\) 290.126 + 109.400i 0.423541 + 0.159707i
\(686\) 48.2466 + 41.8059i 0.0703303 + 0.0609415i
\(687\) 501.925 147.379i 0.730605 0.214525i
\(688\) 53.9481 + 118.130i 0.0784130 + 0.171700i
\(689\) 1664.00i 2.41510i
\(690\) 310.806 + 28.7503i 0.450443 + 0.0416671i
\(691\) −1041.59 −1.50737 −0.753687 0.657234i \(-0.771726\pi\)
−0.753687 + 0.657234i \(0.771726\pi\)
\(692\) 43.8978 20.0475i 0.0634362 0.0289703i
\(693\) −0.529576 1.80357i −0.000764179 0.00260255i
\(694\) −16.4971 + 19.0387i −0.0237711 + 0.0274333i
\(695\) −573.536 216.267i −0.825232 0.311175i
\(696\) −146.404 168.959i −0.210350 0.242757i
\(697\) 19.0281 + 132.344i 0.0273001 + 0.189876i
\(698\) −20.7328 + 70.6095i −0.0297032 + 0.101160i
\(699\) 501.105 322.041i 0.716889 0.460716i
\(700\) −6.34359 22.1926i −0.00906227 0.0317037i
\(701\) 99.8854 + 45.6161i 0.142490 + 0.0650729i 0.485384 0.874301i \(-0.338680\pi\)
−0.342894 + 0.939374i \(0.611407\pi\)
\(702\) −743.329 339.467i −1.05887 0.483571i
\(703\) 1985.67 + 285.496i 2.82456 + 0.406111i
\(704\) −3.31257 5.15447i −0.00470536 0.00732169i
\(705\) 581.567 + 43.6939i 0.824917 + 0.0619771i
\(706\) −70.7126 491.817i −0.100160 0.696625i
\(707\) −27.4762 31.7093i −0.0388631 0.0448504i
\(708\) −123.256 + 191.789i −0.174090 + 0.270889i
\(709\) 775.606 + 672.067i 1.09394 + 0.947908i 0.998868 0.0475624i \(-0.0151453\pi\)
0.0950755 + 0.995470i \(0.469691\pi\)
\(710\) 273.933 + 505.982i 0.385822 + 0.712651i
\(711\) −105.166 + 48.0277i −0.147913 + 0.0675494i
\(712\) −58.1735 −0.0817043
\(713\) −573.262 + 638.969i −0.804014 + 0.896170i
\(714\) 4.54689 0.00636819
\(715\) 48.0296 + 64.6426i 0.0671743 + 0.0904092i
\(716\) −59.9725 + 17.6095i −0.0837604 + 0.0245943i
\(717\) 416.639 + 361.020i 0.581086 + 0.503514i
\(718\) 479.593 + 308.216i 0.667957 + 0.429270i
\(719\) 179.895 + 207.610i 0.250202 + 0.288748i 0.866932 0.498426i \(-0.166089\pi\)
−0.616730 + 0.787175i \(0.711543\pi\)
\(720\) −36.8011 99.7600i −0.0511126 0.138556i
\(721\) 15.8658 + 4.65861i 0.0220052 + 0.00646132i
\(722\) −379.607 590.680i −0.525771 0.818116i
\(723\) −113.344 + 788.323i −0.156769 + 1.09035i
\(724\) −357.101 163.082i −0.493233 0.225252i
\(725\) −7.39374 + 1029.58i −0.0101983 + 1.42011i
\(726\) −46.5121 + 323.499i −0.0640663 + 0.445591i
\(727\) −1027.00 + 660.010i −1.41265 + 0.907854i −0.999995 0.00303449i \(-0.999034\pi\)
−0.412653 + 0.910888i \(0.635398\pi\)
\(728\) 26.3460 + 7.73589i 0.0361896 + 0.0106262i
\(729\) 71.2396 + 495.483i 0.0977224 + 0.679674i
\(730\) 542.205 + 408.936i 0.742747 + 0.560186i
\(731\) 99.1154 + 63.6976i 0.135589 + 0.0871376i
\(732\) 275.229 317.631i 0.375996 0.433922i
\(733\) −380.929 + 111.851i −0.519685 + 0.152593i −0.531047 0.847342i \(-0.678201\pi\)
0.0113626 + 0.999935i \(0.496383\pi\)
\(734\) −623.867 + 284.910i −0.849955 + 0.388161i
\(735\) 97.8725 + 457.821i 0.133160 + 0.622885i
\(736\) −129.084 + 16.2922i −0.175385 + 0.0221361i
\(737\) 83.7633i 0.113654i
\(738\) 251.987 115.079i 0.341446 0.155933i
\(739\) −619.307 + 181.845i −0.838034 + 0.246069i −0.672465 0.740129i \(-0.734764\pi\)
−0.165569 + 0.986198i \(0.552946\pi\)
\(740\) −330.476 + 600.089i −0.446589 + 0.810931i
\(741\) 638.976 994.267i 0.862316 1.34179i
\(742\) −39.0395 + 33.8279i −0.0526138 + 0.0455901i
\(743\) −117.493 817.179i −0.158133 1.09984i −0.902071 0.431588i \(-0.857953\pi\)
0.743938 0.668249i \(-0.232956\pi\)
\(744\) −194.398 57.0805i −0.261288 0.0767211i
\(745\) 60.7690 + 61.2070i 0.0815692 + 0.0821570i
\(746\) −259.211 37.2689i −0.347468 0.0499583i
\(747\) 197.955 433.461i 0.265000 0.580270i
\(748\) −5.05641 2.30919i −0.00675991 0.00308715i
\(749\) 5.64088 39.2332i 0.00753122 0.0523808i
\(750\) 121.981 316.588i 0.162642 0.422117i
\(751\) −151.218 + 515.000i −0.201355 + 0.685752i 0.795460 + 0.606006i \(0.207229\pi\)
−0.996815 + 0.0797462i \(0.974589\pi\)
\(752\) −240.626 + 34.5968i −0.319981 + 0.0460064i
\(753\) −270.742 312.453i −0.359551 0.414944i
\(754\) −1030.41 662.203i −1.36659 0.878254i
\(755\) 107.460 195.129i 0.142331 0.258449i
\(756\) −7.14702 24.3405i −0.00945373 0.0321964i
\(757\) −154.255 337.772i −0.203772 0.446198i 0.779963 0.625826i \(-0.215238\pi\)
−0.983735 + 0.179628i \(0.942511\pi\)
\(758\) −468.591 −0.618194
\(759\) −28.1217 18.7659i −0.0370510 0.0247245i
\(760\) 404.972 86.5747i 0.532859 0.113914i
\(761\) −254.242 556.712i −0.334089 0.731553i 0.665805 0.746126i \(-0.268088\pi\)
−0.999894 + 0.0145732i \(0.995361\pi\)
\(762\) 99.5076 + 338.892i 0.130587 + 0.444740i
\(763\) 23.9317 + 20.7369i 0.0313652 + 0.0271781i
\(764\) −354.636 + 551.825i −0.464183 + 0.722284i
\(765\) −77.0183 58.0878i −0.100677 0.0759318i
\(766\) −360.895 + 51.8888i −0.471142 + 0.0677400i
\(767\) −351.896 + 1198.45i −0.458795 + 1.56251i
\(768\) −16.6018 25.8329i −0.0216169 0.0336366i
\(769\) −187.332 26.9343i −0.243605 0.0350251i 0.0194308 0.999811i \(-0.493815\pi\)
−0.263036 + 0.964786i \(0.584724\pi\)
\(770\) −0.540187 + 2.44097i −0.000701541 + 0.00317009i
\(771\) 176.292 386.025i 0.228653 0.500681i
\(772\) 108.200 + 15.5568i 0.140156 + 0.0201513i
\(773\) 487.460 313.271i 0.630608 0.405267i