Properties

Label 230.3.i.a.19.17
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 19.17
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.17

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28641 - 0.587486i) q^{2} +(-0.540708 - 1.84148i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-3.54821 - 3.52282i) q^{5} +(-1.77742 - 2.05125i) q^{6} +(0.0656966 + 0.456930i) q^{7} +(0.796860 - 2.71386i) q^{8} +(4.47258 - 2.87436i) q^{9} +O(q^{10})\) \(q+(1.28641 - 0.587486i) q^{2} +(-0.540708 - 1.84148i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-3.54821 - 3.52282i) 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} +(-6.63406 - 2.44728i) 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} +(-4.56867 + 8.43878i) 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} +(-9.97190 + 0.749202i) q^{20} +(0.805906 - 0.368045i) q^{21} +1.08313 q^{22} +(9.91399 - 20.7536i) q^{23} -5.42839 q^{24} +(0.179528 + 24.9994i) 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} +(-0.919533 + 13.5398i) 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} +(1.37658 - 1.85272i) 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} +(-12.3878 + 6.82213i) 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} +(14.9177 + 32.0540i) 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} +(-1.35113 - 3.58318i) 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} +(6.77153 + 17.9580i) 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} +(63.3153 + 83.9494i) 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} +(45.9388 - 13.8480i) 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} +(-11.9280 + 16.0538i) 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} +(1.22944 - 18.1030i) 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} +(-36.7058 + 8.12299i) q^{90} -9.70796i q^{91} +(-18.3845 - 42.1665i) q^{92} -71.6318i q^{93} +(35.7045 + 78.1819i) q^{94} +(10.9694 + 146.003i) 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 \(-0.987270\pi\)
0.818964 0.573845i \(-0.194549\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) −3.54821 3.52282i −0.709641 0.704563i
\(6\) −1.77742 2.05125i −0.296237 0.341875i
\(7\) 0.0656966 + 0.456930i 0.00938523 + 0.0652757i 0.993976 0.109600i \(-0.0349569\pi\)
−0.984591 + 0.174875i \(0.944048\pi\)
\(8\) 0.796860 2.71386i 0.0996075 0.339232i
\(9\) 4.47258 2.87436i 0.496954 0.319373i
\(10\) −6.63406 2.44728i −0.663406 0.244728i
\(11\) 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 −0.716921 0.697155i \(-0.754449\pi\)
−0.884292 + 0.466935i \(0.845358\pi\)
\(14\) 0.352953 + 0.549205i 0.0252109 + 0.0392289i
\(15\) −4.56867 + 8.43878i −0.304578 + 0.562585i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) 2.37645 + 2.74257i 0.139791 + 0.161328i 0.821328 0.570456i \(-0.193234\pi\)
−0.681537 + 0.731784i \(0.738688\pi\)
\(18\) 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 \(-0.552772\pi\)
\(20\) −9.97190 + 0.749202i −0.498595 + 0.0374601i
\(21\) 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
\(25\) 0.179528 + 24.9994i 0.00718112 + 0.999974i
\(26\) −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 \(0.521388\pi\)
\(30\) −0.919533 + 13.5398i −0.0306511 + 0.451326i
\(31\) 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
\(35\) 1.37658 1.85272i 0.0393307 0.0529348i
\(36\) 1.51325 10.5249i 0.0420348 0.292359i
\(37\) 57.6318 37.0377i 1.55762 1.00102i 0.574400 0.818575i \(-0.305235\pi\)
0.983216 0.182444i \(-0.0584009\pi\)
\(38\) −39.7348 11.6672i −1.04565 0.307031i
\(39\) 5.74396 + 39.9501i 0.147281 + 1.02436i
\(40\) −12.3878 + 6.82213i −0.309696 + 0.170553i
\(41\) −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 0.101339 0.994852i \(-0.467687\pi\)
0.623109 + 0.782135i \(0.285869\pi\)
\(44\) 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 \(0.223786\pi\)
−0.762877 + 0.646543i \(0.776214\pi\)
\(48\) −6.98316 + 3.18910i −0.145482 + 0.0664396i
\(49\) 46.8107 13.7449i 0.955320 0.280507i
\(50\) 14.9177 + 32.0540i 0.298354 + 0.641081i
\(51\) 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 \(-0.777202\pi\)
0.552412 0.833571i \(-0.313707\pi\)
\(54\) −37.2840 10.9476i −0.690444 0.202733i
\(55\) −1.35113 3.58318i −0.0245660 0.0651487i
\(56\) 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 \(0.877560\pi\)
\(60\) 6.77153 + 17.9580i 0.112859 + 0.299300i
\(61\) 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
\(65\) 63.3153 + 83.9494i 0.974082 + 1.29153i
\(66\) −0.585659 1.99457i −0.00887363 0.0302208i
\(67\) 45.4327 + 99.4838i 0.678101 + 1.48483i 0.864643 + 0.502387i \(0.167545\pi\)
−0.186542 + 0.982447i \(0.559728\pi\)
\(68\) 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 0.990374 0.138418i \(-0.0442017\pi\)
0.00393606 + 0.999992i \(0.498747\pi\)
\(74\) 52.3792 81.5037i 0.707827 1.10140i
\(75\) 45.9388 13.8480i 0.612518 0.184639i
\(76\) −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 \(0.589404\pi\)
\(80\) −11.9280 + 16.0538i −0.149100 + 0.200672i
\(81\) −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 −0.909285 0.416173i \(-0.863371\pi\)
0.000833557 1.00000i \(0.499735\pi\)
\(84\) 0.499213 1.70016i 0.00594301 0.0202400i
\(85\) 1.22944 18.1030i 0.0144640 0.212977i
\(86\) 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 \(0.872229\pi\)
\(90\) −36.7058 + 8.12299i −0.407842 + 0.0902555i
\(91\) 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
\(95\) 10.9694 + 146.003i 0.115467 + 1.53687i
\(96\) −7.10968 + 8.20501i −0.0740592 + 0.0854688i
\(97\) 58.1078 + 37.3436i 0.599050 + 0.384986i 0.804737 0.593632i \(-0.202306\pi\)
−0.205687 + 0.978618i \(0.565943\pi\)
\(98\) 52.1430 45.1822i 0.532072 0.461043i
\(99\) 4.03047 0.579494i 0.0407118 0.00585347i
\(100\) 38.0216 + 32.4708i 0.380216 + 0.324708i
\(101\) 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 −0.823541 0.567257i \(-0.808005\pi\)
0.968009 + 0.250916i \(0.0807319\pi\)
\(104\) −24.7094 + 54.1061i −0.237591 + 0.520251i
\(105\) −4.15608 1.53316i −0.0395817 0.0146015i
\(106\) −60.4981 94.1369i −0.570737 0.888084i
\(107\) −82.3846 24.1903i −0.769949 0.226078i −0.126914 0.991914i \(-0.540507\pi\)
−0.643036 + 0.765836i \(0.722325\pi\)
\(108\) −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 \(0.374619\pi\)
\(110\) −3.84318 3.81568i −0.0349380 0.0346880i
\(111\) −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 0.882592 0.470140i \(-0.155797\pi\)
−0.933283 + 0.359142i \(0.883069\pi\)
\(114\) 79.4796i 0.697189i
\(115\) −108.288 + 38.7129i −0.941635 + 0.336634i
\(116\) 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
\(120\) 19.2610 + 19.1232i 0.160509 + 0.159360i
\(121\) −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
\(125\) 87.4311 89.3353i 0.699449 0.714682i
\(126\) 3.15722 + 1.44185i 0.0250573 + 0.0114433i
\(127\) 118.371 + 54.0580i 0.932052 + 0.425654i 0.822781 0.568358i \(-0.192421\pi\)
0.109271 + 0.994012i \(0.465148\pi\)
\(128\) −11.1986 1.61011i −0.0874887 0.0125790i
\(129\) −33.6875 52.4188i −0.261144 0.406347i
\(130\) 130.769 + 70.7968i 1.00591 + 0.544591i
\(131\) 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
\(135\) 10.2928 + 136.998i 0.0762430 + 1.01480i
\(136\) 9.33665 4.26390i 0.0686518 0.0313522i
\(137\) −62.0133 −0.452652 −0.226326 0.974052i \(-0.572671\pi\)
−0.226326 + 0.974052i \(0.572671\pi\)
\(138\) −60.1922 + 16.5518i −0.436176 + 0.119941i
\(139\) −122.591 −0.881951 −0.440976 0.897519i \(-0.645367\pi\)
−0.440976 + 0.897519i \(0.645367\pi\)
\(140\) −0.997452 4.50724i −0.00712466 0.0321946i
\(141\) 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
\(145\) 13.9527 205.448i 0.0962255 1.41689i
\(146\) 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 \(0.617928\pi\)
\(150\) 50.9609 44.8026i 0.339739 0.298684i
\(151\) 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
\(155\) −90.0232 163.467i −0.580795 1.05463i
\(156\) 67.9076 + 43.6416i 0.435305 + 0.279754i
\(157\) −30.0764 + 34.7100i −0.191570 + 0.221083i −0.843406 0.537276i \(-0.819453\pi\)
0.651837 + 0.758359i \(0.273999\pi\)
\(158\) −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 −0.508389 0.861128i \(-0.669759\pi\)
0.317873 + 0.948133i \(0.397031\pi\)
\(164\) −70.7030 + 20.7603i −0.431116 + 0.126587i
\(165\) −5.86780 + 4.42554i −0.0355624 + 0.0268215i
\(166\) −68.5294 + 106.634i −0.412828 + 0.642372i
\(167\) −78.1416 + 67.7101i −0.467914 + 0.405450i −0.856649 0.515900i \(-0.827458\pi\)
0.388735 + 0.921350i \(0.372912\pi\)
\(168\) −0.356627 2.48039i −0.00212278 0.0147643i
\(169\) 262.184 + 76.9843i 1.55139 + 0.455528i
\(170\) −9.05370 24.0102i −0.0532570 0.141237i
\(171\) −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 0.350967 0.936388i \(-0.385853\pi\)
−0.477840 + 0.878447i \(0.658580\pi\)
\(174\) 15.9083 110.645i 0.0914269 0.635888i
\(175\) −11.4112 + 1.72440i −0.0652066 + 0.00985374i
\(176\) 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 \(0.709641\pi\)
\(180\) −42.4467 + 32.0136i −0.235815 + 0.177854i
\(181\) −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
\(190\) 99.8859 + 181.376i 0.525715 + 0.954611i
\(191\) −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 0.756224 0.654312i \(-0.227042\pi\)
−0.909330 + 0.416075i \(0.863405\pi\)
\(194\) 96.6896 + 13.9019i 0.498400 + 0.0716591i
\(195\) 120.356 161.986i 0.617212 0.830699i
\(196\) 40.5336 88.7562i 0.206804 0.452838i
\(197\) 15.5265 + 2.23237i 0.0788146 + 0.0113318i 0.181609 0.983371i \(-0.441869\pi\)
−0.102795 + 0.994703i \(0.532778\pi\)
\(198\) 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 \(0.147217\pi\)
\(200\) 67.9877 + 19.4338i 0.339939 + 0.0971689i
\(201\) 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
\(205\) 39.8048 + 179.868i 0.194170 + 0.877404i
\(206\) 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
\(210\) −6.24715 + 0.469356i −0.0297483 + 0.00223503i
\(211\) −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
\(215\) −142.754 77.2854i −0.663971 0.359467i
\(216\) −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
\(220\) −7.18558 2.65073i −0.0326617 0.0120488i
\(221\) −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 0.439717 0.898136i \(-0.355079\pi\)
0.674940 + 0.737873i \(0.264169\pi\)
\(224\) 1.97354 1.71008i 0.00881044 0.00763429i
\(225\) 72.6600 + 111.296i 0.322933 + 0.494648i
\(226\) −14.7375 12.7701i −0.0652101 0.0565049i
\(227\) 291.589 85.6184i 1.28453 0.377173i 0.432963 0.901412i \(-0.357468\pi\)
0.851572 + 0.524238i \(0.175650\pi\)
\(228\) 46.6931 + 102.244i 0.204794 + 0.448437i
\(229\) 272.566i 1.19024i −0.803636 0.595122i \(-0.797104\pi\)
0.803636 0.595122i \(-0.202896\pi\)
\(230\) −116.560 + 113.419i −0.506783 + 0.493124i
\(231\) 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 \(0.141096\pi\)
−0.528074 + 0.849198i \(0.677086\pi\)
\(234\) −103.545 + 119.498i −0.442502 + 0.510674i
\(235\) 214.099 215.642i 0.911061 0.917628i
\(236\) 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 \(0.112977\pi\)
\(240\) 36.0123 + 13.2848i 0.150051 + 0.0553533i
\(241\) 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
\(245\) −214.515 116.136i −0.875570 0.474024i
\(246\) 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
\(250\) 59.9894 166.287i 0.239958 0.665147i
\(251\) −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
\(255\) −34.0012 + 7.52447i −0.133338 + 0.0295077i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) 167.110 + 144.801i 0.650232 + 0.563429i 0.916284 0.400529i \(-0.131174\pi\)
−0.266052 + 0.963959i \(0.585719\pi\)
\(258\) −74.1314 47.6414i −0.287331 0.184656i
\(259\) 20.7098 + 23.9004i 0.0799608 + 0.0922797i
\(260\) 209.815 + 14.2492i 0.806980 + 0.0548047i
\(261\) 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 \(-0.879332\pi\)
0.995633 0.0933537i \(-0.0297587\pi\)
\(264\) −3.78184 1.72711i −0.0143252 0.00654209i
\(265\) −235.953 + 317.567i −0.890388 + 1.19836i
\(266\) 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 \(0.826130\pi\)
\(270\) 93.7249 + 170.189i 0.347129 + 0.630329i
\(271\) 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 \(0.0499164\pi\)
−0.987729 + 0.156175i \(0.950084\pi\)
\(278\) −157.703 + 72.0206i −0.567277 + 0.259067i
\(279\) 190.394 55.9047i 0.682416 0.200375i
\(280\) −3.93107 5.21218i −0.0140395 0.0186149i
\(281\) −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 0.977694 0.210033i \(-0.0673572\pi\)
−0.997264 + 0.0739229i \(0.976448\pi\)
\(284\) −156.149 45.8494i −0.549819 0.161442i
\(285\) 262.931 99.1451i 0.922565 0.347878i
\(286\) −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
\(290\) −102.749 272.489i −0.354307 0.939616i
\(291\) 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 0.998596 0.0529747i \(-0.0168703\pi\)
−0.194550 + 0.980893i \(0.562325\pi\)
\(294\) −111.396 71.5901i −0.378899 0.243504i
\(295\) 237.096 178.820i 0.803714 0.606168i
\(296\) −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
\(305\) −479.556 + 264.097i −1.57231 + 0.865892i
\(306\) 27.0075 3.88309i 0.0882596 0.0126898i
\(307\) −94.6021 + 322.185i −0.308150 + 1.04946i 0.649220 + 0.760600i \(0.275095\pi\)
−0.957371 + 0.288863i \(0.906723\pi\)
\(308\) 0.382295 + 0.594862i 0.00124122 + 0.00193137i
\(309\) −68.0471 9.78369i −0.220217 0.0316624i
\(310\) −211.842 157.399i −0.683360 0.507739i
\(311\) −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 −0.254824 0.966988i \(-0.582017\pi\)
0.773745 + 0.633497i \(0.218381\pi\)
\(314\) −18.2991 + 62.3209i −0.0582773 + 0.198474i
\(315\) 0.831477 12.2432i 0.00263961 0.0388673i
\(316\) −32.8689 + 28.4811i −0.104016 + 0.0901300i
\(317\) −61.7589 + 96.0987i −0.194823 + 0.303150i −0.924897 0.380218i \(-0.875849\pi\)
0.730074 + 0.683368i \(0.239485\pi\)
\(318\) −140.640 + 162.307i −0.442264 + 0.510399i
\(319\) 8.88661 + 30.2650i 0.0278577 + 0.0948746i
\(320\) 8.64290 + 39.0551i 0.0270091 + 0.122047i
\(321\) 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
\(325\) 71.0824 520.918i 0.218715 1.60282i
\(326\) −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
\(330\) −4.94847 + 9.14032i −0.0149954 + 0.0276979i
\(331\) 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
\(335\) 189.259 513.040i 0.564951 1.53146i
\(336\) −1.91597 2.98130i −0.00570228 0.00887292i
\(337\) 168.743 + 49.5473i 0.500720 + 0.147025i 0.522333 0.852742i \(-0.325062\pi\)
−0.0216126 + 0.999766i \(0.506880\pi\)
\(338\) 382.505 54.9959i 1.13167 0.162710i
\(339\) −20.0002 + 17.3303i −0.0589977 + 0.0511218i
\(340\) −25.7525 25.5682i −0.0757426 0.0752006i
\(341\) 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
\(345\) 129.842 + 178.478i 0.376352 + 0.517329i
\(346\) −34.1242 −0.0986249
\(347\) −16.2035 + 7.39991i −0.0466961 + 0.0213254i −0.438626 0.898670i \(-0.644535\pi\)
0.391930 + 0.919995i \(0.371807\pi\)
\(348\) −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 \(0.203521\pi\)
\(350\) −13.6664 + 8.92219i −0.0390469 + 0.0254920i
\(351\) 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 \(-0.743286\pi\)
0.972446 0.233127i \(-0.0748958\pi\)
\(354\) 135.616 87.1548i 0.383095 0.246200i
\(355\) −140.811 + 381.708i −0.396650 + 1.07523i
\(356\) 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 \(-0.371572\pi\)
\(360\) −35.7964 + 66.1196i −0.0994345 + 0.183666i
\(361\) 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
\(365\) −35.9779 478.867i −0.0985695 1.31196i
\(366\) −270.331 + 123.456i −0.738609 + 0.337311i
\(367\) −484.966 −1.32143 −0.660717 0.750635i \(-0.729747\pi\)
−0.660717 + 0.750635i \(0.729747\pi\)
\(368\) −87.8131 27.4381i −0.238623 0.0745602i
\(369\) −195.883 −0.530849
\(370\) −472.975 + 104.669i −1.27831 + 0.282890i
\(371\) 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 0.314902 0.949124i \(-0.398029\pi\)
−0.732539 + 0.680725i \(0.761665\pi\)
\(374\) 2.57401 + 2.97057i 0.00688239 + 0.00794270i
\(375\) −211.784 112.699i −0.564758 0.300530i
\(376\) 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 \(0.492359\pi\)
\(380\) 235.050 + 174.643i 0.618554 + 0.459587i
\(381\) 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 −0.0576445 0.998337i \(-0.518359\pi\)
−0.588235 + 0.808690i \(0.700177\pi\)
\(384\) 3.09016 + 21.4926i 0.00804730 + 0.0559702i
\(385\) 1.54850 0.852775i 0.00402207 0.00221500i
\(386\) −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
\(395\) 65.4713 + 86.8080i 0.165750 + 0.219767i
\(396\) 4.40288 6.85102i 0.0111184 0.0173006i
\(397\) 390.900 338.717i 0.984635 0.853191i −0.00453099 0.999990i \(-0.501442\pi\)
0.989166 + 0.146798i \(0.0468968\pi\)
\(398\) 14.0962 + 98.0415i 0.0354177 + 0.246335i
\(399\) −24.8929 7.30921i −0.0623882 0.0183188i
\(400\) 98.8774 14.9419i 0.247193 0.0373548i
\(401\) −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
\(405\) 22.8539 8.61767i 0.0564294 0.0212782i
\(406\) −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 \(0.671090\pi\)
\(410\) 156.875 + 208.000i 0.382623 + 0.507317i
\(411\) 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 \(-0.0992694\pi\)
\(420\) −7.76067 + 4.27389i −0.0184778 + 0.0101759i
\(421\) 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
\(425\) −68.1359 + 59.9021i −0.160320 + 0.140946i
\(426\) −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
\(430\) −229.045 15.5552i −0.532662 0.0361749i
\(431\) −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 \(-0.429246\pi\)
0.934095 0.357024i \(-0.116209\pi\)
\(434\) 6.86475 + 23.3792i 0.0158174 + 0.0538691i
\(435\) −385.874 + 85.3940i −0.887067 + 0.196308i
\(436\) 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 \(-0.487451\pi\)
\(440\) −10.8009 + 0.811485i −0.0245475 + 0.00184428i
\(441\) 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 −0.257624 0.966245i \(-0.582940\pi\)
0.919747 + 0.392513i \(0.128394\pi\)
\(444\) −260.284 + 37.4233i −0.586226 + 0.0842866i
\(445\) 48.9602 90.4344i 0.110023 0.203223i
\(446\) 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 \(0.909971\pi\)
\(450\) 158.855 + 100.486i 0.353012 + 0.223301i
\(451\) −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
\(455\) −34.1994 + 34.4459i −0.0751635 + 0.0757052i
\(456\) 120.133 + 104.096i 0.263450 + 0.228281i
\(457\) −584.530 + 171.634i −1.27906 + 0.375566i −0.849556 0.527499i \(-0.823130\pi\)
−0.429504 + 0.903065i \(0.641312\pi\)
\(458\) −160.128 350.632i −0.349625 0.765573i
\(459\) 99.7115i 0.217236i
\(460\) −83.3126 + 214.381i −0.181114 + 0.466045i
\(461\) −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 0.976786 0.214216i \(-0.0687198\pi\)
−0.937539 + 0.347880i \(0.886902\pi\)
\(464\) 107.880 124.500i 0.232500 0.268319i
\(465\) −252.346 + 254.164i −0.542679 + 0.546590i
\(466\) 287.435 + 331.718i 0.616814 + 0.711841i
\(467\) 10.2154 + 71.0496i 0.0218745 + 0.152141i 0.997831 0.0658237i \(-0.0209675\pi\)
−0.975957 + 0.217964i \(0.930058\pi\)
\(468\) −62.9991 + 214.555i −0.134613 + 0.458451i
\(469\) −42.4724 + 27.2953i −0.0905594 + 0.0581990i
\(470\) 148.734 403.186i 0.316455 0.857842i
\(471\) 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
\(475\) 475.420 556.692i 1.00089 1.17198i
\(476\) 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 \(0.651629\pi\)
\(480\) 54.1314 4.06696i 0.112774 0.00847283i
\(481\) −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
\(485\) −74.6238 337.206i −0.153863 0.695270i
\(486\) −322.834 + 94.7926i −0.664267 + 0.195047i
\(487\) 200.443 + 173.685i 0.411587 + 0.356642i 0.835908 0.548870i \(-0.184942\pi\)
−0.424321 + 0.905512i \(0.639487\pi\)
\(488\) −260.532 167.434i −0.533876 0.343102i
\(489\) 42.9069 + 49.5172i 0.0877442 + 0.101262i
\(490\) −344.183 23.3746i −0.702414 0.0477033i
\(491\) 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
\(495\) −16.3424 12.1424i −0.0330149 0.0245302i
\(496\) 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 \(0.610221\pi\)
\(500\) −20.5198 249.156i −0.0410396 0.498313i
\(501\) 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 −0.559158 0.829061i \(-0.688875\pi\)
−0.0221692 + 0.999754i \(0.507057\pi\)
\(504\) 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 \(0.240989\pi\)
\(510\) −39.3191 + 29.6548i −0.0770962 + 0.0581466i
\(511\) −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
\(515\) −167.582 + 63.1913i −0.325402 + 0.122702i
\(516\) −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
\(520\) 278.280 104.933i 0.535154 0.201794i
\(521\) −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 0.594165 0.804344i \(-0.297483\pi\)
−0.880715 + 0.473647i \(0.842937\pi\)
\(524\) 209.018 + 134.328i 0.398890 + 0.256351i
\(525\) 9.34557 + 20.0811i 0.0178011 + 0.0382497i
\(526\) −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
\(535\) 207.099 + 376.058i 0.387102 + 0.702912i
\(536\) 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
\(540\) 220.552 + 163.871i 0.408430 + 0.303465i
\(541\) 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
\(545\) 342.195 + 23.2396i 0.627880 + 0.0426414i
\(546\) −19.9135 + 17.2551i −0.0364716 + 0.0316028i
\(547\) −156.802 + 243.989i −0.286658 + 0.446048i −0.954481 0.298272i \(-0.903590\pi\)
0.667823 + 0.744320i \(0.267226\pi\)
\(548\) −81.2202 + 93.7331i −0.148212 + 0.171046i
\(549\) −164.005 558.550i −0.298734 1.01740i
\(550\) 0.194453 + 27.0776i 0.000353550 + 0.0492321i
\(551\) 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
\(555\) 49.2527 + 655.555i 0.0887436 + 1.18118i
\(556\) −160.560 + 185.297i −0.288778 + 0.333267i
\(557\) 508.840 + 327.012i 0.913537 + 0.587094i 0.910776 0.412902i \(-0.135485\pi\)
0.00276118 + 0.999996i \(0.499121\pi\)
\(558\) 212.082 183.770i 0.380076 0.329337i
\(559\) −675.813 + 97.1672i −1.20897 + 0.173823i
\(560\) −8.11907 4.39558i −0.0144983 0.00784925i
\(561\) 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 −0.978034 0.208446i \(-0.933159\pi\)
0.798009 + 0.602645i \(0.205887\pi\)
\(564\) 96.9089 212.201i 0.171824 0.376243i
\(565\) −23.8616 + 64.6837i −0.0422329 + 0.114484i
\(566\) −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 \(0.879192\pi\)
\(570\) 279.992 282.010i 0.491214 0.494754i
\(571\) 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
\(575\) 520.607 + 244.118i 0.905403 + 0.424552i
\(576\) −42.5326 −0.0738413
\(577\) 110.540 50.4821i 0.191578 0.0874907i −0.317316 0.948320i \(-0.602782\pi\)
0.508894 + 0.860829i \(0.330054\pi\)
\(578\) −109.899 374.282i −0.190137 0.647548i
\(579\) −68.6936 + 79.2766i −0.118642 + 0.136920i
\(580\) −292.261 290.170i −0.503898 0.500293i
\(581\) −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
\(585\) 524.483 + 193.480i 0.896553 + 0.330735i
\(586\) 462.786 + 211.347i 0.789737 + 0.360661i
\(587\) 253.029 + 115.555i 0.431055 + 0.196856i 0.619113 0.785302i \(-0.287492\pi\)
−0.188058 + 0.982158i \(0.560219\pi\)
\(588\) −185.360 26.6508i −0.315238 0.0453244i
\(589\) −590.885 919.435i −1.00320 1.56101i
\(590\) 199.949 369.326i 0.338897 0.625977i
\(591\) −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 −0.629509 0.776993i \(-0.716744\pi\)
0.968285 + 0.249847i \(0.0803802\pi\)
\(594\) −22.4918 19.4893i −0.0378650 0.0328102i
\(595\) 8.35258 0.627540i 0.0140379 0.00105469i
\(596\) 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 \(0.395736\pi\)
\(600\) −0.974548 135.706i −0.00162425 0.226177i
\(601\) −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
\(605\) −40.7944 + 600.683i −0.0674288 + 0.992865i
\(606\) −236.700 69.5014i −0.390594 0.114689i
\(607\) −306.828 477.434i −0.505483 0.786547i 0.490928 0.871200i \(-0.336658\pi\)
−0.996410 + 0.0846537i \(0.973022\pi\)
\(608\) −23.5743 + 163.963i −0.0387736 + 0.269676i
\(609\) 33.1907 + 15.1577i 0.0545004 + 0.0248895i
\(610\) −461.754 + 621.470i −0.756974 + 1.01880i
\(611\) 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 −0.212138 0.977240i \(-0.568043\pi\)
−0.706797 + 0.707416i \(0.749861\pi\)
\(614\) 67.5817 + 470.041i 0.110068 + 0.765539i
\(615\) 309.701 170.556i 0.503579 0.277327i
\(616\) 0.841262 + 0.540647i 0.00136569 + 0.000877673i
\(617\) 452.503 522.216i 0.733392 0.846380i −0.259457 0.965755i \(-0.583544\pi\)
0.992849 + 0.119375i \(0.0380891\pi\)
\(618\) −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
\(625\) −624.936 + 8.97616i −0.999897 + 0.0143619i
\(626\) 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
\(630\) −6.12308 16.2383i −0.00971918 0.0257751i
\(631\) 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
\(635\) −229.567 608.807i −0.361522 0.958751i
\(636\) −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
\(640\) 34.0626 + 45.1634i 0.0532229 + 0.0705679i
\(641\) 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 \(-0.422060\pi\)
0.242417 + 0.970172i \(0.422060\pi\)
\(644\) 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 \(-0.856101\pi\)
0.520575 0.853816i \(-0.325718\pi\)
\(648\) 10.4420 + 9.04801i 0.0161141 + 0.0139630i
\(649\) −24.5933 + 38.2680i −0.0378942 + 0.0589645i
\(650\) −214.590 711.876i −0.330139 1.09519i
\(651\) 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 0.999947 0.0102709i \(-0.00326939\pi\)
−0.424736 + 0.905317i \(0.639633\pi\)
\(654\) 184.289 + 26.4968i 0.281788 + 0.0405150i
\(655\) 370.454 498.590i 0.565579 0.761207i
\(656\) −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 \(-0.0530760\pi\)
\(660\) −0.995976 + 14.6654i −0.00150906 + 0.0222203i
\(661\) 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
\(665\) −65.9925 + 14.6042i −0.0992369 + 0.0219611i
\(666\) 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
\(670\) −57.9389 771.169i −0.0864760 1.15100i
\(671\) 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 −0.631801 0.775131i \(-0.717684\pi\)
0.677326 + 0.735683i \(0.263139\pi\)
\(674\) 246.181 35.3955i 0.365254 0.0525156i
\(675\) 446.096 522.355i 0.660883 0.773860i
\(676\) 459.750 295.463i 0.680104 0.437076i
\(677\) −84.1561 + 585.319i −0.124307 + 0.864577i 0.828281 + 0.560314i \(0.189319\pi\)
−0.952588 + 0.304263i \(0.901590\pi\)
\(678\) −15.5473 + 34.0437i −0.0229311 + 0.0502120i
\(679\) −13.2459 + 29.0046i −0.0195080 + 0.0427166i
\(680\) −48.1493 17.7621i −0.0708078 0.0261207i
\(681\) −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 −0.735562 0.677457i \(-0.763082\pi\)
−0.514905 + 0.857247i \(0.672173\pi\)
\(684\) −235.317 + 203.904i −0.344031 + 0.298105i
\(685\) 220.036 + 218.462i 0.321221 + 0.318922i
\(686\) 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
\(690\) 271.883 + 153.317i 0.394034 + 0.222199i
\(691\) −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
\(695\) 434.979 + 431.866i 0.625869 + 0.621390i
\(696\) −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
\(700\) −12.3390 + 19.5064i −0.0176271 + 0.0278664i
\(701\) 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
\(705\) −512.868 277.661i −0.727472 0.393845i
\(706\) −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 \(0.469691\pi\)
\(710\) 43.1073 + 573.759i 0.0607144 + 0.808111i
\(711\) −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
\(715\) 17.4009 + 78.6303i 0.0243369 + 0.109972i
\(716\) −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 \(0.711543\pi\)
\(720\) −7.20473 + 106.087i −0.0100066 + 0.147343i
\(721\) 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
\(725\) −773.264 + 679.821i −1.06657 + 0.937683i
\(726\) −46.5121 + 323.499i −0.0640663 + 0.445591i
\(727\) 1027.00 660.010i 1.41265 0.907854i 0.412653 0.910888i \(-0.364602\pi\)
0.999995 + 0.00303449i \(0.000965909\pi\)
\(728\) −26.3460 7.73589i −0.0361896 0.0106262i
\(729\) 71.2396 + 495.483i 0.0977224 + 0.679674i
\(730\) −327.610 594.884i −0.448780 0.814910i
\(731\) 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 −0.0113626 0.999935i \(-0.503617\pi\)
0.531047 + 0.847342i \(0.321799\pi\)
\(734\) −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 \(0.552946\pi\)
\(740\) −546.950 + 412.514i −0.739121 + 0.557451i
\(741\) 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 \(0.142047\pi\)
−0.743938 + 0.668249i \(0.767044\pi\)
\(744\) −194.398 57.0805i −0.261288 0.0767211i
\(745\) −30.4315 80.7038i −0.0408476 0.108327i
\(746\) −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
\(750\) −338.651 20.5570i −0.451535 0.0274093i
\(751\) −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
\(755\) −177.849 + 134.136i −0.235562 + 0.177663i
\(756\) −7.14702 24.3405i −0.00945373 0.0321964i
\(757\) 154.255 + 337.772i 0.203772 + 0.446198i 0.983735 0.179628i \(-0.0574893\pi\)
−0.779963 + 0.625826i \(0.784762\pi\)
\(758\) 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
\(765\) −46.5357 84.5011i −0.0608310 0.110459i
\(766\) −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 \(0.584724\pi\)
\(770\) 1.49101 2.00674i 0.00193638 0.00260616i
\(771\) 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 −0.816534 0