Properties

Label 128.3.l.a.3.10
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.10
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.31385 + 1.50791i) q^{2} +(-2.45029 + 2.01090i) q^{3} +(-0.547604 - 3.96234i) q^{4} +(9.14318 + 2.77355i) q^{5} +(0.187046 - 6.33684i) q^{6} +(0.716485 + 3.60202i) q^{7} +(6.69433 + 4.38017i) q^{8} +(0.204383 - 1.02750i) q^{9} +O(q^{10})\) \(q+(-1.31385 + 1.50791i) q^{2} +(-2.45029 + 2.01090i) q^{3} +(-0.547604 - 3.96234i) q^{4} +(9.14318 + 2.77355i) q^{5} +(0.187046 - 6.33684i) q^{6} +(0.716485 + 3.60202i) q^{7} +(6.69433 + 4.38017i) q^{8} +(0.204383 - 1.02750i) q^{9} +(-16.1950 + 10.1431i) q^{10} +(0.982186 + 9.97230i) q^{11} +(9.30966 + 8.60770i) q^{12} +(-6.88056 - 22.6822i) q^{13} +(-6.37288 - 3.65210i) q^{14} +(-27.9808 + 11.5900i) q^{15} +(-15.4003 + 4.33958i) q^{16} +(-5.22340 + 12.6104i) q^{17} +(1.28086 + 1.65818i) q^{18} +(-11.3592 + 21.2516i) q^{19} +(5.98292 - 37.7472i) q^{20} +(-8.99889 - 7.38520i) q^{21} +(-16.3278 - 11.6210i) q^{22} +(6.68053 - 4.46378i) q^{23} +(-25.2111 + 2.72894i) q^{24} +(55.1184 + 36.8289i) q^{25} +(43.2427 + 19.4256i) q^{26} +(-11.8827 - 22.2310i) q^{27} +(13.8801 - 4.81144i) q^{28} +(-0.792725 + 8.04867i) q^{29} +(19.2858 - 57.4201i) q^{30} +(3.89963 + 3.89963i) q^{31} +(13.6899 - 28.9238i) q^{32} +(-22.4599 - 22.4599i) q^{33} +(-12.1526 - 24.4446i) q^{34} +(-3.43943 + 34.9211i) q^{35} +(-4.18324 - 0.247171i) q^{36} +(17.2810 + 32.3304i) q^{37} +(-17.1213 - 45.0501i) q^{38} +(62.4709 + 41.7417i) q^{39} +(49.0588 + 58.6158i) q^{40} +(-11.4822 + 7.67219i) q^{41} +(22.9594 - 3.86651i) q^{42} +(-16.0981 - 13.2114i) q^{43} +(38.9758 - 9.35263i) q^{44} +(4.71855 - 8.82779i) q^{45} +(-2.04620 + 15.9384i) q^{46} +(26.8031 - 64.7085i) q^{47} +(29.0086 - 41.6016i) q^{48} +(32.8089 - 13.5899i) q^{49} +(-127.952 + 34.7261i) q^{50} +(-12.5594 - 41.4029i) q^{51} +(-86.1066 + 39.6839i) q^{52} +(-3.44833 - 35.0115i) q^{53} +(49.1344 + 11.2900i) q^{54} +(-18.6784 + 93.9027i) q^{55} +(-10.9811 + 27.2514i) q^{56} +(-14.9015 - 74.9149i) q^{57} +(-11.0952 - 11.7701i) q^{58} +(-16.2915 - 4.94198i) q^{59} +(61.2459 + 104.523i) q^{60} +(-5.93481 + 4.87057i) q^{61} +(-11.0038 + 0.756781i) q^{62} +3.84753 q^{63} +(25.6281 + 58.6447i) q^{64} -226.471i q^{65} +(63.3766 - 4.35868i) q^{66} +(-41.0835 - 50.0604i) q^{67} +(52.8270 + 13.7914i) q^{68} +(-7.39299 + 24.3714i) q^{69} +(-48.1391 - 51.0674i) q^{70} +(118.806 - 23.6321i) q^{71} +(5.86886 - 5.98322i) q^{72} +(74.7241 + 14.8636i) q^{73} +(-71.4561 - 16.4191i) q^{74} +(-209.115 + 20.5961i) q^{75} +(90.4264 + 33.3716i) q^{76} +(-35.2167 + 10.6829i) q^{77} +(-145.020 + 39.3584i) q^{78} +(27.7533 + 67.0024i) q^{79} +(-152.843 - 3.03583i) q^{80} +(82.5312 + 34.1856i) q^{81} +(3.51693 - 27.3943i) q^{82} +(48.1855 + 25.7557i) q^{83} +(-24.3348 + 39.7008i) q^{84} +(-82.7341 + 100.812i) q^{85} +(41.0721 - 6.91680i) q^{86} +(-14.2427 - 21.3157i) q^{87} +(-37.1053 + 71.0601i) q^{88} +(-59.9166 + 89.6716i) q^{89} +(7.11208 + 18.7136i) q^{90} +(76.7716 - 41.0353i) q^{91} +(-21.3453 - 24.0261i) q^{92} +(-17.3970 - 1.71346i) q^{93} +(62.3595 + 125.434i) q^{94} +(-162.802 + 162.802i) q^{95} +(24.6187 + 98.4007i) q^{96} +(28.6574 - 28.6574i) q^{97} +(-22.6136 + 67.3281i) q^{98} +(10.4473 + 1.02897i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31385 + 1.50791i −0.656924 + 0.753957i
\(3\) −2.45029 + 2.01090i −0.816763 + 0.670300i −0.947018 0.321180i \(-0.895920\pi\)
0.130255 + 0.991481i \(0.458420\pi\)
\(4\) −0.547604 3.96234i −0.136901 0.990585i
\(5\) 9.14318 + 2.77355i 1.82864 + 0.554711i 0.999987 0.00505841i \(-0.00161015\pi\)
0.828649 + 0.559769i \(0.189110\pi\)
\(6\) 0.187046 6.33684i 0.0311743 1.05614i
\(7\) 0.716485 + 3.60202i 0.102355 + 0.514574i 0.997615 + 0.0690287i \(0.0219900\pi\)
−0.895260 + 0.445545i \(0.853010\pi\)
\(8\) 6.69433 + 4.38017i 0.836791 + 0.547522i
\(9\) 0.204383 1.02750i 0.0227093 0.114167i
\(10\) −16.1950 + 10.1431i −1.61950 + 1.01431i
\(11\) 0.982186 + 9.97230i 0.0892897 + 0.906573i 0.930604 + 0.366027i \(0.119282\pi\)
−0.841315 + 0.540546i \(0.818218\pi\)
\(12\) 9.30966 + 8.60770i 0.775805 + 0.717308i
\(13\) −6.88056 22.6822i −0.529274 1.74478i −0.657917 0.753090i \(-0.728562\pi\)
0.128644 0.991691i \(-0.458938\pi\)
\(14\) −6.37288 3.65210i −0.455206 0.260865i
\(15\) −27.9808 + 11.5900i −1.86538 + 0.772668i
\(16\) −15.4003 + 4.33958i −0.962516 + 0.271224i
\(17\) −5.22340 + 12.6104i −0.307259 + 0.741788i 0.692533 + 0.721386i \(0.256495\pi\)
−0.999792 + 0.0204023i \(0.993505\pi\)
\(18\) 1.28086 + 1.65818i 0.0711589 + 0.0921210i
\(19\) −11.3592 + 21.2516i −0.597854 + 1.11851i 0.382998 + 0.923749i \(0.374892\pi\)
−0.980852 + 0.194757i \(0.937608\pi\)
\(20\) 5.98292 37.7472i 0.299146 1.88736i
\(21\) −8.99889 7.38520i −0.428519 0.351676i
\(22\) −16.3278 11.6210i −0.742173 0.528229i
\(23\) 6.68053 4.46378i 0.290458 0.194078i −0.401801 0.915727i \(-0.631616\pi\)
0.692259 + 0.721649i \(0.256616\pi\)
\(24\) −25.2111 + 2.72894i −1.05046 + 0.113706i
\(25\) 55.1184 + 36.8289i 2.20474 + 1.47316i
\(26\) 43.2427 + 19.4256i 1.66318 + 0.747140i
\(27\) −11.8827 22.2310i −0.440100 0.823369i
\(28\) 13.8801 4.81144i 0.495716 0.171837i
\(29\) −0.792725 + 8.04867i −0.0273353 + 0.277540i 0.971794 + 0.235830i \(0.0757808\pi\)
−0.999130 + 0.0417106i \(0.986719\pi\)
\(30\) 19.2858 57.4201i 0.642859 1.91400i
\(31\) 3.89963 + 3.89963i 0.125795 + 0.125795i 0.767201 0.641407i \(-0.221649\pi\)
−0.641407 + 0.767201i \(0.721649\pi\)
\(32\) 13.6899 28.9238i 0.427809 0.903869i
\(33\) −22.4599 22.4599i −0.680604 0.680604i
\(34\) −12.1526 24.4446i −0.357430 0.718959i
\(35\) −3.43943 + 34.9211i −0.0982693 + 0.997745i
\(36\) −4.18324 0.247171i −0.116201 0.00686585i
\(37\) 17.2810 + 32.3304i 0.467053 + 0.873796i 0.999624 + 0.0274101i \(0.00872600\pi\)
−0.532571 + 0.846385i \(0.678774\pi\)
\(38\) −17.1213 45.0501i −0.450560 1.18553i
\(39\) 62.4709 + 41.7417i 1.60182 + 1.07030i
\(40\) 49.0588 + 58.6158i 1.22647 + 1.46540i
\(41\) −11.4822 + 7.67219i −0.280055 + 0.187127i −0.687662 0.726031i \(-0.741363\pi\)
0.407608 + 0.913157i \(0.366363\pi\)
\(42\) 22.9594 3.86651i 0.546653 0.0920598i
\(43\) −16.0981 13.2114i −0.374374 0.307241i 0.428325 0.903625i \(-0.359104\pi\)
−0.802700 + 0.596384i \(0.796604\pi\)
\(44\) 38.9758 9.35263i 0.885814 0.212560i
\(45\) 4.71855 8.82779i 0.104857 0.196173i
\(46\) −2.04620 + 15.9384i −0.0444826 + 0.346487i
\(47\) 26.8031 64.7085i 0.570280 1.37678i −0.331038 0.943618i \(-0.607399\pi\)
0.901317 0.433159i \(-0.142601\pi\)
\(48\) 29.0086 41.6016i 0.604346 0.866700i
\(49\) 32.8089 13.5899i 0.669570 0.277345i
\(50\) −127.952 + 34.7261i −2.55904 + 0.694522i
\(51\) −12.5594 41.4029i −0.246263 0.811821i
\(52\) −86.1066 + 39.6839i −1.65590 + 0.763153i
\(53\) −3.44833 35.0115i −0.0650629 0.660595i −0.971305 0.237836i \(-0.923562\pi\)
0.906242 0.422758i \(-0.138938\pi\)
\(54\) 49.1344 + 11.2900i 0.909896 + 0.209075i
\(55\) −18.6784 + 93.9027i −0.339607 + 1.70732i
\(56\) −10.9811 + 27.2514i −0.196090 + 0.486632i
\(57\) −14.9015 74.9149i −0.261430 1.31430i
\(58\) −11.0952 11.7701i −0.191296 0.202933i
\(59\) −16.2915 4.94198i −0.276128 0.0837624i 0.149184 0.988809i \(-0.452335\pi\)
−0.425311 + 0.905047i \(0.639835\pi\)
\(60\) 61.2459 + 104.523i 1.02077 + 1.74204i
\(61\) −5.93481 + 4.87057i −0.0972920 + 0.0798455i −0.681782 0.731556i \(-0.738795\pi\)
0.584490 + 0.811401i \(0.301295\pi\)
\(62\) −11.0038 + 0.756781i −0.177481 + 0.0122061i
\(63\) 3.84753 0.0610718
\(64\) 25.6281 + 58.6447i 0.400440 + 0.916323i
\(65\) 226.471i 3.48416i
\(66\) 63.3766 4.35868i 0.960252 0.0660406i
\(67\) −41.0835 50.0604i −0.613187 0.747171i 0.370148 0.928973i \(-0.379307\pi\)
−0.983335 + 0.181802i \(0.941807\pi\)
\(68\) 52.8270 + 13.7914i 0.776868 + 0.202814i
\(69\) −7.39299 + 24.3714i −0.107145 + 0.353209i
\(70\) −48.1391 51.0674i −0.687701 0.729534i
\(71\) 118.806 23.6321i 1.67333 0.332846i 0.734862 0.678216i \(-0.237247\pi\)
0.938466 + 0.345370i \(0.112247\pi\)
\(72\) 5.86886 5.98322i 0.0815120 0.0831003i
\(73\) 74.7241 + 14.8636i 1.02362 + 0.203610i 0.678230 0.734850i \(-0.262747\pi\)
0.345388 + 0.938460i \(0.387747\pi\)
\(74\) −71.4561 16.4191i −0.965623 0.221879i
\(75\) −209.115 + 20.5961i −2.78820 + 0.274614i
\(76\) 90.4264 + 33.3716i 1.18982 + 0.439100i
\(77\) −35.2167 + 10.6829i −0.457359 + 0.138738i
\(78\) −145.020 + 39.3584i −1.85923 + 0.504595i
\(79\) 27.7533 + 67.0024i 0.351308 + 0.848131i 0.996459 + 0.0840769i \(0.0267941\pi\)
−0.645152 + 0.764054i \(0.723206\pi\)
\(80\) −152.843 3.03583i −1.91054 0.0379479i
\(81\) 82.5312 + 34.1856i 1.01890 + 0.422044i
\(82\) 3.51693 27.3943i 0.0428894 0.334077i
\(83\) 48.1855 + 25.7557i 0.580548 + 0.310309i 0.735405 0.677627i \(-0.236992\pi\)
−0.154857 + 0.987937i \(0.549492\pi\)
\(84\) −24.3348 + 39.7008i −0.289700 + 0.472629i
\(85\) −82.7341 + 100.812i −0.973342 + 1.18602i
\(86\) 41.0721 6.91680i 0.477582 0.0804279i
\(87\) −14.2427 21.3157i −0.163709 0.245008i
\(88\) −37.1053 + 71.0601i −0.421652 + 0.807501i
\(89\) −59.9166 + 89.6716i −0.673220 + 1.00755i 0.324869 + 0.945759i \(0.394680\pi\)
−0.998089 + 0.0617865i \(0.980320\pi\)
\(90\) 7.11208 + 18.7136i 0.0790231 + 0.207928i
\(91\) 76.7716 41.0353i 0.843644 0.450937i
\(92\) −21.3453 24.0261i −0.232014 0.261154i
\(93\) −17.3970 1.71346i −0.187065 0.0184243i
\(94\) 62.3595 + 125.434i 0.663399 + 1.33440i
\(95\) −162.802 + 162.802i −1.71370 + 1.71370i
\(96\) 24.6187 + 98.4007i 0.256445 + 1.02501i
\(97\) 28.6574 28.6574i 0.295437 0.295437i −0.543787 0.839223i \(-0.683010\pi\)
0.839223 + 0.543787i \(0.183010\pi\)
\(98\) −22.6136 + 67.3281i −0.230751 + 0.687021i
\(99\) 10.4473 + 1.02897i 0.105529 + 0.0103937i
\(100\) 115.746 238.565i 1.15746 2.38565i
\(101\) 20.0003 10.6904i 0.198023 0.105846i −0.369405 0.929269i \(-0.620438\pi\)
0.567428 + 0.823423i \(0.307938\pi\)
\(102\) 78.9331 + 35.4586i 0.773854 + 0.347633i
\(103\) 55.3588 82.8504i 0.537465 0.804372i −0.458996 0.888438i \(-0.651791\pi\)
0.996460 + 0.0840660i \(0.0267907\pi\)
\(104\) 53.2911 181.980i 0.512414 1.74981i
\(105\) −61.7952 92.4831i −0.588526 0.880791i
\(106\) 57.3249 + 40.8000i 0.540801 + 0.384906i
\(107\) 7.75678 9.45167i 0.0724933 0.0883333i −0.735501 0.677524i \(-0.763053\pi\)
0.807994 + 0.589190i \(0.200553\pi\)
\(108\) −81.5796 + 59.2570i −0.755366 + 0.548676i
\(109\) −66.4783 35.5334i −0.609893 0.325995i 0.137373 0.990519i \(-0.456134\pi\)
−0.747266 + 0.664525i \(0.768634\pi\)
\(110\) −117.057 151.539i −1.06415 1.37763i
\(111\) −107.357 44.4686i −0.967177 0.400618i
\(112\) −26.6653 52.3627i −0.238083 0.467524i
\(113\) −22.1089 53.3756i −0.195654 0.472350i 0.795355 0.606143i \(-0.207284\pi\)
−0.991009 + 0.133793i \(0.957284\pi\)
\(114\) 132.543 + 75.9566i 1.16266 + 0.666286i
\(115\) 73.4618 22.2844i 0.638798 0.193777i
\(116\) 32.3257 1.26644i 0.278669 0.0109176i
\(117\) −24.7123 + 2.43395i −0.211216 + 0.0208030i
\(118\) 28.8567 18.0732i 0.244548 0.153163i
\(119\) −49.1654 9.77960i −0.413154 0.0821815i
\(120\) −238.079 44.9732i −1.98399 0.374777i
\(121\) 20.1929 4.01661i 0.166883 0.0331951i
\(122\) 0.453041 15.3484i 0.00371345 0.125806i
\(123\) 12.7068 41.8887i 0.103307 0.340559i
\(124\) 13.3162 17.5871i 0.107389 0.141832i
\(125\) 250.276 + 304.962i 2.00221 + 2.43970i
\(126\) −5.05507 + 5.80174i −0.0401196 + 0.0460455i
\(127\) 5.89879i 0.0464471i 0.999730 + 0.0232236i \(0.00739296\pi\)
−0.999730 + 0.0232236i \(0.992607\pi\)
\(128\) −122.103 38.4052i −0.953926 0.300041i
\(129\) 66.0117 0.511719
\(130\) 341.498 + 297.548i 2.62691 + 2.28883i
\(131\) 160.692 131.877i 1.22666 1.00669i 0.227197 0.973849i \(-0.427044\pi\)
0.999461 0.0328434i \(-0.0104563\pi\)
\(132\) −76.6948 + 101.293i −0.581021 + 0.767372i
\(133\) −84.6873 25.6896i −0.636747 0.193155i
\(134\) 129.464 + 3.82143i 0.966152 + 0.0285181i
\(135\) −46.9869 236.219i −0.348051 1.74977i
\(136\) −90.2029 + 61.5388i −0.663257 + 0.452491i
\(137\) 1.38582 6.96698i 0.0101155 0.0508538i −0.975398 0.220452i \(-0.929247\pi\)
0.985513 + 0.169598i \(0.0542469\pi\)
\(138\) −27.0367 43.1684i −0.195918 0.312814i
\(139\) −13.8284 140.402i −0.0994846 1.01008i −0.907253 0.420584i \(-0.861825\pi\)
0.807769 0.589499i \(-0.200675\pi\)
\(140\) 140.253 5.49475i 1.00180 0.0392482i
\(141\) 64.4469 + 212.453i 0.457070 + 1.50676i
\(142\) −120.458 + 210.199i −0.848299 + 1.48027i
\(143\) 219.435 90.8931i 1.53451 0.635616i
\(144\) 1.31139 + 16.7108i 0.00910685 + 0.116047i
\(145\) −29.5714 + 71.3918i −0.203941 + 0.492357i
\(146\) −120.589 + 93.1490i −0.825953 + 0.638007i
\(147\) −53.0634 + 99.2747i −0.360976 + 0.675338i
\(148\) 118.641 86.1774i 0.801628 0.582280i
\(149\) −24.9880 20.5071i −0.167704 0.137631i 0.546798 0.837265i \(-0.315847\pi\)
−0.714502 + 0.699633i \(0.753347\pi\)
\(150\) 243.689 342.388i 1.62459 2.28259i
\(151\) −65.4872 + 43.7571i −0.433690 + 0.289782i −0.753189 0.657804i \(-0.771485\pi\)
0.319499 + 0.947587i \(0.396485\pi\)
\(152\) −169.128 + 92.5100i −1.11269 + 0.608618i
\(153\) 11.8897 + 7.94443i 0.0777103 + 0.0519244i
\(154\) 30.1605 67.1393i 0.195848 0.435970i
\(155\) 24.8392 + 46.4709i 0.160253 + 0.299812i
\(156\) 131.186 270.389i 0.840933 1.73326i
\(157\) 10.2408 103.977i 0.0652281 0.662272i −0.905864 0.423568i \(-0.860777\pi\)
0.971092 0.238704i \(-0.0767226\pi\)
\(158\) −137.497 46.1814i −0.870237 0.292287i
\(159\) 78.8541 + 78.8541i 0.495938 + 0.495938i
\(160\) 205.391 226.486i 1.28369 1.41554i
\(161\) 20.8651 + 20.8651i 0.129597 + 0.129597i
\(162\) −159.982 + 79.5353i −0.987546 + 0.490959i
\(163\) −14.2110 + 144.286i −0.0871838 + 0.885192i 0.847756 + 0.530386i \(0.177953\pi\)
−0.934940 + 0.354806i \(0.884547\pi\)
\(164\) 36.6875 + 41.2952i 0.223704 + 0.251800i
\(165\) −143.061 267.649i −0.867039 1.62212i
\(166\) −102.146 + 38.8205i −0.615336 + 0.233858i
\(167\) 158.509 + 105.912i 0.949157 + 0.634206i 0.930762 0.365625i \(-0.119145\pi\)
0.0183943 + 0.999831i \(0.494145\pi\)
\(168\) −27.8931 88.8557i −0.166030 0.528903i
\(169\) −326.620 + 218.240i −1.93266 + 1.29136i
\(170\) −43.3154 257.207i −0.254796 1.51298i
\(171\) 19.5145 + 16.0151i 0.114120 + 0.0936558i
\(172\) −43.5325 + 71.0207i −0.253096 + 0.412911i
\(173\) 27.5284 51.5021i 0.159124 0.297700i −0.789707 0.613484i \(-0.789768\pi\)
0.948831 + 0.315784i \(0.102268\pi\)
\(174\) 50.8549 + 6.52884i 0.292269 + 0.0375221i
\(175\) −93.1668 + 224.925i −0.532382 + 1.28528i
\(176\) −58.4016 149.314i −0.331827 0.848374i
\(177\) 49.8568 20.6514i 0.281677 0.116674i
\(178\) −56.4956 208.164i −0.317391 1.16946i
\(179\) −97.0776 320.022i −0.542333 1.78783i −0.612706 0.790311i \(-0.709919\pi\)
0.0703731 0.997521i \(-0.477581\pi\)
\(180\) −37.5626 13.8624i −0.208681 0.0770132i
\(181\) −24.9296 253.115i −0.137733 1.39842i −0.777029 0.629464i \(-0.783274\pi\)
0.639296 0.768960i \(-0.279226\pi\)
\(182\) −38.9886 + 169.679i −0.214223 + 0.932303i
\(183\) 4.74776 23.8686i 0.0259441 0.130430i
\(184\) 64.2738 0.620188i 0.349314 0.00337059i
\(185\) 68.3329 + 343.533i 0.369367 + 1.85693i
\(186\) 25.4408 23.9820i 0.136778 0.128935i
\(187\) −130.885 39.7036i −0.699920 0.212319i
\(188\) −271.075 70.7685i −1.44189 0.376428i
\(189\) 71.5624 58.7298i 0.378637 0.310740i
\(190\) −31.5941 459.388i −0.166285 2.41783i
\(191\) 234.798 1.22931 0.614655 0.788796i \(-0.289295\pi\)
0.614655 + 0.788796i \(0.289295\pi\)
\(192\) −180.725 92.1607i −0.941276 0.480004i
\(193\) 22.8093i 0.118183i −0.998253 0.0590914i \(-0.981180\pi\)
0.998253 0.0590914i \(-0.0188203\pi\)
\(194\) 5.56138 + 80.8643i 0.0286669 + 0.416826i
\(195\) 455.410 + 554.918i 2.33543 + 2.84574i
\(196\) −71.8141 122.558i −0.366399 0.625297i
\(197\) −91.1647 + 300.530i −0.462765 + 1.52553i 0.346478 + 0.938058i \(0.387378\pi\)
−0.809243 + 0.587474i \(0.800122\pi\)
\(198\) −15.2778 + 14.4018i −0.0771607 + 0.0727362i
\(199\) −11.0514 + 2.19825i −0.0555345 + 0.0110465i −0.222779 0.974869i \(-0.571513\pi\)
0.167245 + 0.985915i \(0.446513\pi\)
\(200\) 207.664 + 487.973i 1.03832 + 2.43987i
\(201\) 201.333 + 40.0476i 1.00166 + 0.199242i
\(202\) −10.1572 + 44.2043i −0.0502833 + 0.218833i
\(203\) −29.5594 + 2.91135i −0.145613 + 0.0143416i
\(204\) −157.175 + 72.4371i −0.770464 + 0.355084i
\(205\) −126.263 + 38.3016i −0.615919 + 0.186837i
\(206\) 52.1980 + 192.329i 0.253388 + 0.933637i
\(207\) −3.22117 7.77660i −0.0155612 0.0375681i
\(208\) 204.393 + 319.452i 0.982661 + 1.53583i
\(209\) −223.084 92.4046i −1.06739 0.442127i
\(210\) 220.646 + 28.3269i 1.05070 + 0.134890i
\(211\) −157.856 84.3756i −0.748131 0.399884i 0.0528280 0.998604i \(-0.483177\pi\)
−0.800959 + 0.598719i \(0.795677\pi\)
\(212\) −136.839 + 32.8359i −0.645468 + 0.154886i
\(213\) −243.588 + 296.813i −1.14361 + 1.39349i
\(214\) 4.06106 + 24.1146i 0.0189769 + 0.112685i
\(215\) −110.545 165.443i −0.514165 0.769502i
\(216\) 17.8288 200.870i 0.0825406 0.929952i
\(217\) −11.2525 + 16.8406i −0.0518549 + 0.0776063i
\(218\) 140.924 53.5580i 0.646439 0.245679i
\(219\) −212.985 + 113.843i −0.972533 + 0.519830i
\(220\) 382.303 + 22.5887i 1.73774 + 0.102676i
\(221\) 321.971 + 31.7114i 1.45688 + 0.143490i
\(222\) 208.105 103.460i 0.937411 0.466034i
\(223\) −128.014 + 128.014i −0.574054 + 0.574054i −0.933259 0.359205i \(-0.883048\pi\)
0.359205 + 0.933259i \(0.383048\pi\)
\(224\) 113.993 + 28.5877i 0.508896 + 0.127624i
\(225\) 49.1072 49.1072i 0.218254 0.218254i
\(226\) 109.533 + 36.7891i 0.484661 + 0.162784i
\(227\) −194.091 19.1163i −0.855025 0.0842126i −0.339000 0.940786i \(-0.610089\pi\)
−0.516025 + 0.856574i \(0.672589\pi\)
\(228\) −288.678 + 100.068i −1.26613 + 0.438897i
\(229\) −339.088 + 181.247i −1.48074 + 0.791470i −0.996510 0.0834737i \(-0.973399\pi\)
−0.484225 + 0.874943i \(0.660899\pi\)
\(230\) −62.9147 + 140.052i −0.273542 + 0.608923i
\(231\) 64.8088 96.9933i 0.280558 0.419884i
\(232\) −40.5613 + 50.4082i −0.174833 + 0.217277i
\(233\) −96.8878 145.003i −0.415827 0.622330i 0.563136 0.826364i \(-0.309595\pi\)
−0.978964 + 0.204034i \(0.934595\pi\)
\(234\) 28.7980 40.4618i 0.123069 0.172914i
\(235\) 424.538 517.302i 1.80655 2.20128i
\(236\) −10.6605 + 67.2588i −0.0451716 + 0.284995i
\(237\) −202.739 108.366i −0.855437 0.457241i
\(238\) 79.3426 61.2882i 0.333372 0.257513i
\(239\) 19.6410 + 8.13557i 0.0821800 + 0.0340401i 0.423395 0.905945i \(-0.360838\pi\)
−0.341215 + 0.939985i \(0.610838\pi\)
\(240\) 380.615 299.914i 1.58590 1.24964i
\(241\) 35.4693 + 85.6304i 0.147175 + 0.355313i 0.980225 0.197885i \(-0.0634073\pi\)
−0.833050 + 0.553198i \(0.813407\pi\)
\(242\) −20.4737 + 35.7263i −0.0846019 + 0.147629i
\(243\) −53.8713 + 16.3417i −0.221692 + 0.0672497i
\(244\) 22.5488 + 20.8486i 0.0924131 + 0.0854450i
\(245\) 337.670 33.2576i 1.37825 0.135745i
\(246\) 46.4697 + 74.1962i 0.188901 + 0.301610i
\(247\) 560.190 + 111.429i 2.26798 + 0.451129i
\(248\) 9.02437 + 43.1865i 0.0363886 + 0.174139i
\(249\) −169.860 + 33.7873i −0.682171 + 0.135692i
\(250\) −788.681 23.2797i −3.15473 0.0931187i
\(251\) −16.2491 + 53.5662i −0.0647376 + 0.213411i −0.983341 0.181769i \(-0.941818\pi\)
0.918604 + 0.395180i \(0.129318\pi\)
\(252\) −2.10692 15.2452i −0.00836080 0.0604968i
\(253\) 51.0757 + 62.2360i 0.201880 + 0.245992i
\(254\) −8.89486 7.75011i −0.0350191 0.0305123i
\(255\) 413.388i 1.62113i
\(256\) 218.336 133.661i 0.852875 0.522115i
\(257\) −34.1083 −0.132717 −0.0663586 0.997796i \(-0.521138\pi\)
−0.0663586 + 0.997796i \(0.521138\pi\)
\(258\) −86.7294 + 99.5400i −0.336161 + 0.385814i
\(259\) −104.073 + 85.4106i −0.401827 + 0.329771i
\(260\) −897.353 + 124.016i −3.45136 + 0.476985i
\(261\) 8.10803 + 2.45954i 0.0310652 + 0.00942354i
\(262\) −12.2666 + 415.576i −0.0468192 + 1.58617i
\(263\) −63.0440 316.944i −0.239711 1.20511i −0.893721 0.448623i \(-0.851914\pi\)
0.654010 0.756486i \(-0.273086\pi\)
\(264\) −51.9759 248.733i −0.196878 0.942170i
\(265\) 65.5776 329.681i 0.247462 1.24408i
\(266\) 150.004 93.9489i 0.563925 0.353191i
\(267\) −33.5075 340.208i −0.125496 1.27419i
\(268\) −175.859 + 190.200i −0.656190 + 0.709702i
\(269\) 15.9838 + 52.6916i 0.0594194 + 0.195879i 0.981625 0.190821i \(-0.0611149\pi\)
−0.922206 + 0.386700i \(0.873615\pi\)
\(270\) 417.931 + 239.504i 1.54789 + 0.887051i
\(271\) −443.132 + 183.551i −1.63517 + 0.677311i −0.995797 0.0915829i \(-0.970807\pi\)
−0.639376 + 0.768894i \(0.720807\pi\)
\(272\) 25.7178 216.871i 0.0945507 0.797319i
\(273\) −105.595 + 254.928i −0.386794 + 0.933804i
\(274\) 8.68484 + 11.2432i 0.0316965 + 0.0410337i
\(275\) −313.133 + 585.830i −1.13866 + 2.13029i
\(276\) 100.616 + 15.9477i 0.364552 + 0.0577813i
\(277\) 79.0616 + 64.8842i 0.285421 + 0.234239i 0.766199 0.642603i \(-0.222146\pi\)
−0.480778 + 0.876842i \(0.659646\pi\)
\(278\) 229.882 + 163.615i 0.826913 + 0.588542i
\(279\) 4.80391 3.20987i 0.0172183 0.0115049i
\(280\) −175.985 + 218.708i −0.628518 + 0.781100i
\(281\) 302.583 + 202.180i 1.07681 + 0.719501i 0.961770 0.273860i \(-0.0883004\pi\)
0.115040 + 0.993361i \(0.463300\pi\)
\(282\) −405.034 181.951i −1.43629 0.645215i
\(283\) 103.079 + 192.847i 0.364237 + 0.681440i 0.995565 0.0940762i \(-0.0299897\pi\)
−0.631328 + 0.775516i \(0.717490\pi\)
\(284\) −158.697 457.810i −0.558792 1.61201i
\(285\) 71.5333 726.290i 0.250994 2.54839i
\(286\) −151.246 + 450.309i −0.528832 + 1.57451i
\(287\) −35.8622 35.8622i −0.124955 0.124955i
\(288\) −26.9214 19.9780i −0.0934770 0.0693680i
\(289\) 72.6155 + 72.6155i 0.251265 + 0.251265i
\(290\) −68.8002 138.389i −0.237242 0.477204i
\(291\) −12.5917 + 127.846i −0.0432705 + 0.439333i
\(292\) 17.9752 304.222i 0.0615589 1.04185i
\(293\) −42.4765 79.4679i −0.144971 0.271222i 0.798947 0.601401i \(-0.205391\pi\)
−0.943918 + 0.330180i \(0.892891\pi\)
\(294\) −79.9803 210.447i −0.272042 0.715806i
\(295\) −135.250 90.3708i −0.458473 0.306342i
\(296\) −25.9283 + 292.124i −0.0875957 + 0.986907i
\(297\) 210.023 140.333i 0.707147 0.472501i
\(298\) 63.7533 10.7365i 0.213937 0.0360284i
\(299\) −147.214 120.815i −0.492354 0.404065i
\(300\) 196.121 + 817.307i 0.653736 + 2.72436i
\(301\) 36.0535 67.4513i 0.119779 0.224091i
\(302\) 20.0583 156.239i 0.0664181 0.517348i
\(303\) −27.5093 + 66.4133i −0.0907897 + 0.219186i
\(304\) 82.7118 376.575i 0.272078 1.23873i
\(305\) −67.7718 + 28.0720i −0.222203 + 0.0920394i
\(306\) −27.6007 + 7.49082i −0.0901985 + 0.0244798i
\(307\) 10.6190 + 35.0061i 0.0345895 + 0.114026i 0.972535 0.232756i \(-0.0747743\pi\)
−0.937946 + 0.346782i \(0.887274\pi\)
\(308\) 61.6139 + 133.690i 0.200045 + 0.434060i
\(309\) 30.9586 + 314.328i 0.100190 + 1.01724i
\(310\) −102.709 23.6003i −0.331319 0.0761301i
\(311\) 5.91793 29.7514i 0.0190287 0.0956638i −0.970104 0.242690i \(-0.921970\pi\)
0.989133 + 0.147026i \(0.0469702\pi\)
\(312\) 235.365 + 553.066i 0.754375 + 1.77265i
\(313\) −27.6802 139.158i −0.0884350 0.444593i −0.999479 0.0322831i \(-0.989722\pi\)
0.911044 0.412310i \(-0.135278\pi\)
\(314\) 143.333 + 152.052i 0.456475 + 0.484242i
\(315\) 35.1786 + 10.6713i 0.111678 + 0.0338772i
\(316\) 250.288 146.659i 0.792052 0.464110i
\(317\) 388.889 319.153i 1.22678 1.00679i 0.227323 0.973819i \(-0.427003\pi\)
0.999456 0.0329725i \(-0.0104974\pi\)
\(318\) −222.507 + 15.3028i −0.699709 + 0.0481219i
\(319\) −81.0424 −0.254051
\(320\) 71.6686 + 607.280i 0.223965 + 1.89775i
\(321\) 38.7574i 0.120740i
\(322\) −58.8764 + 4.04918i −0.182846 + 0.0125751i
\(323\) −208.658 254.250i −0.645999 0.787152i
\(324\) 90.2603 345.737i 0.278581 1.06709i
\(325\) 456.114 1503.61i 1.40343 4.62648i
\(326\) −198.900 210.999i −0.610123 0.647237i
\(327\) 234.345 46.6142i 0.716652 0.142551i
\(328\) −110.471 + 1.06596i −0.336803 + 0.00324987i
\(329\) 252.285 + 50.1826i 0.766824 + 0.152531i
\(330\) 591.553 + 135.926i 1.79258 + 0.411898i
\(331\) 425.324 41.8908i 1.28497 0.126558i 0.567630 0.823284i \(-0.307860\pi\)
0.717338 + 0.696726i \(0.245360\pi\)
\(332\) 75.6662 205.031i 0.227910 0.617564i
\(333\) 36.7516 11.1485i 0.110365 0.0334789i
\(334\) −367.964 + 99.8652i −1.10169 + 0.298997i
\(335\) −236.789 571.659i −0.706833 1.70644i
\(336\) 170.634 + 74.6825i 0.507839 + 0.222269i
\(337\) −457.686 189.580i −1.35812 0.562551i −0.419577 0.907720i \(-0.637822\pi\)
−0.938540 + 0.345169i \(0.887822\pi\)
\(338\) 100.041 779.249i 0.295980 2.30547i
\(339\) 161.506 + 86.3268i 0.476419 + 0.254651i
\(340\) 444.756 + 272.616i 1.30811 + 0.801811i
\(341\) −35.0582 + 42.7185i −0.102810 + 0.125274i
\(342\) −49.7885 + 8.38471i −0.145581 + 0.0245167i
\(343\) 172.437 + 258.070i 0.502731 + 0.752390i
\(344\) −49.8979 158.954i −0.145052 0.462075i
\(345\) −135.191 + 202.328i −0.391858 + 0.586457i
\(346\) 41.4925 + 109.176i 0.119920 + 0.315539i
\(347\) −131.437 + 70.2544i −0.378780 + 0.202462i −0.649789 0.760115i \(-0.725143\pi\)
0.271009 + 0.962577i \(0.412643\pi\)
\(348\) −76.6605 + 68.1068i −0.220289 + 0.195709i
\(349\) 46.5830 + 4.58802i 0.133476 + 0.0131462i 0.164534 0.986371i \(-0.447388\pi\)
−0.0310587 + 0.999518i \(0.509888\pi\)
\(350\) −216.760 436.004i −0.619314 1.24573i
\(351\) −422.486 + 422.486i −1.20366 + 1.20366i
\(352\) 301.883 + 108.111i 0.857622 + 0.307134i
\(353\) 254.886 254.886i 0.722056 0.722056i −0.246967 0.969024i \(-0.579434\pi\)
0.969024 + 0.246967i \(0.0794341\pi\)
\(354\) −34.3638 + 102.312i −0.0970729 + 0.289018i
\(355\) 1151.81 + 113.444i 3.24454 + 0.319560i
\(356\) 388.120 + 188.305i 1.09022 + 0.528948i
\(357\) 140.135 74.9038i 0.392535 0.209815i
\(358\) 610.110 + 274.076i 1.70422 + 0.765575i
\(359\) −374.975 + 561.190i −1.04450 + 1.56320i −0.238629 + 0.971111i \(0.576698\pi\)
−0.805870 + 0.592093i \(0.798302\pi\)
\(360\) 70.2548 38.4281i 0.195152 0.106745i
\(361\) −122.038 182.643i −0.338056 0.505937i
\(362\) 414.429 + 294.963i 1.14483 + 0.814815i
\(363\) −41.4014 + 50.4477i −0.114053 + 0.138974i
\(364\) −204.636 281.724i −0.562187 0.773968i
\(365\) 641.991 + 343.151i 1.75888 + 0.940141i
\(366\) 29.7540 + 38.5190i 0.0812950 + 0.105243i
\(367\) −536.063 222.045i −1.46066 0.605026i −0.495955 0.868348i \(-0.665182\pi\)
−0.964708 + 0.263322i \(0.915182\pi\)
\(368\) −83.5109 + 97.7342i −0.226932 + 0.265582i
\(369\) 5.53643 + 13.3661i 0.0150039 + 0.0362226i
\(370\) −607.797 348.310i −1.64269 0.941378i
\(371\) 123.641 37.5062i 0.333265 0.101095i
\(372\) 2.73738 + 69.8711i 0.00735854 + 0.187826i
\(373\) −225.565 + 22.2163i −0.604733 + 0.0595610i −0.395750 0.918358i \(-0.629515\pi\)
−0.208983 + 0.977919i \(0.567015\pi\)
\(374\) 231.833 145.199i 0.619874 0.388232i
\(375\) −1226.50 243.965i −3.27066 0.650575i
\(376\) 462.864 315.778i 1.23102 0.839835i
\(377\) 188.016 37.3986i 0.498715 0.0992006i
\(378\) −5.46281 + 185.072i −0.0144519 + 0.489608i
\(379\) −136.420 + 449.716i −0.359947 + 1.18659i 0.570851 + 0.821054i \(0.306613\pi\)
−0.930798 + 0.365533i \(0.880887\pi\)
\(380\) 734.227 + 555.925i 1.93218 + 1.46296i
\(381\) −11.8619 14.4537i −0.0311335 0.0379363i
\(382\) −308.489 + 354.055i −0.807563 + 0.926846i
\(383\) 293.649i 0.766708i 0.923601 + 0.383354i \(0.125231\pi\)
−0.923601 + 0.383354i \(0.874769\pi\)
\(384\) 376.416 151.432i 0.980249 0.394355i
\(385\) −351.622 −0.913303
\(386\) 34.3944 + 29.9679i 0.0891047 + 0.0776371i
\(387\) −16.8649 + 13.8407i −0.0435786 + 0.0357641i
\(388\) −129.243 97.8573i −0.333101 0.252210i
\(389\) −558.497 169.418i −1.43573 0.435523i −0.525912 0.850539i \(-0.676276\pi\)
−0.909814 + 0.415016i \(0.863776\pi\)
\(390\) −1435.11 42.3604i −3.67976 0.108616i
\(391\) 21.3951 + 107.560i 0.0547188 + 0.275090i
\(392\) 279.160 + 52.7335i 0.712143 + 0.134524i
\(393\) −128.551 + 646.272i −0.327103 + 1.64446i
\(394\) −333.396 532.319i −0.846183 1.35106i
\(395\) 67.9187 + 689.590i 0.171946 + 1.74580i
\(396\) −1.64386 41.9593i −0.00415117 0.105958i
\(397\) −190.001 626.351i −0.478593 1.57771i −0.781000 0.624531i \(-0.785290\pi\)
0.302407 0.953179i \(-0.402210\pi\)
\(398\) 11.2051 19.5527i 0.0281534 0.0491273i
\(399\) 259.168 107.351i 0.649543 0.269050i
\(400\) −1008.66 327.984i −2.52165 0.819960i
\(401\) 104.040 251.175i 0.259452 0.626372i −0.739451 0.673211i \(-0.764915\pi\)
0.998902 + 0.0468387i \(0.0149147\pi\)
\(402\) −324.910 + 250.976i −0.808233 + 0.624319i
\(403\) 61.6204 115.284i 0.152904 0.286064i
\(404\) −53.3113 73.3940i −0.131959 0.181668i
\(405\) 659.783 + 541.470i 1.62909 + 1.33696i
\(406\) 34.4465 48.3981i 0.0848437 0.119207i
\(407\) −305.436 + 204.086i −0.750456 + 0.501439i
\(408\) 97.2748 332.177i 0.238419 0.814159i
\(409\) −45.5652 30.4457i −0.111406 0.0744393i 0.498619 0.866821i \(-0.333841\pi\)
−0.610025 + 0.792382i \(0.708841\pi\)
\(410\) 108.136 240.717i 0.263745 0.587114i
\(411\) 10.6142 + 19.8578i 0.0258254 + 0.0483159i
\(412\) −358.596 173.981i −0.870379 0.422285i
\(413\) 6.12845 62.2232i 0.0148389 0.150661i
\(414\) 15.9586 + 5.36002i 0.0385473 + 0.0129469i
\(415\) 369.134 + 369.134i 0.889479 + 0.889479i
\(416\) −750.248 111.504i −1.80348 0.268039i
\(417\) 316.217 + 316.217i 0.758315 + 0.758315i
\(418\) 432.437 214.986i 1.03454 0.514321i
\(419\) 25.1925 255.784i 0.0601253 0.610463i −0.917158 0.398524i \(-0.869522\pi\)
0.977283 0.211938i \(-0.0679776\pi\)
\(420\) −332.610 + 295.498i −0.791929 + 0.703566i
\(421\) 274.257 + 513.099i 0.651442 + 1.21876i 0.963247 + 0.268616i \(0.0865664\pi\)
−0.311805 + 0.950146i \(0.600934\pi\)
\(422\) 334.629 127.176i 0.792961 0.301365i
\(423\) −61.0102 40.7657i −0.144232 0.0963728i
\(424\) 130.272 249.483i 0.307246 0.588403i
\(425\) −752.333 + 502.693i −1.77020 + 1.18281i
\(426\) −127.530 757.277i −0.299367 1.77765i
\(427\) −21.7961 17.8876i −0.0510447 0.0418913i
\(428\) −41.6984 25.5592i −0.0974261 0.0597178i
\(429\) −354.903 + 663.977i −0.827280 + 1.54773i
\(430\) 394.713 + 50.6740i 0.917938 + 0.117847i
\(431\) 170.056 410.552i 0.394562 0.952556i −0.594371 0.804191i \(-0.702599\pi\)
0.988933 0.148365i \(-0.0474011\pi\)
\(432\) 279.470 + 290.796i 0.646920 + 0.673140i
\(433\) 6.14861 2.54684i 0.0142000 0.00588184i −0.375572 0.926793i \(-0.622554\pi\)
0.389772 + 0.920911i \(0.372554\pi\)
\(434\) −10.6100 39.0938i −0.0244471 0.0900778i
\(435\) −71.1031 234.396i −0.163456 0.538841i
\(436\) −104.392 + 282.868i −0.239430 + 0.648780i
\(437\) 18.9770 + 192.677i 0.0434257 + 0.440909i
\(438\) 108.165 470.735i 0.246952 1.07474i
\(439\) 101.430 509.921i 0.231047 1.16155i −0.674818 0.737984i \(-0.735778\pi\)
0.905865 0.423567i \(-0.139222\pi\)
\(440\) −536.350 + 546.801i −1.21898 + 1.24273i
\(441\) −7.25809 36.4889i −0.0164583 0.0827413i
\(442\) −470.839 + 443.840i −1.06525 + 1.00416i
\(443\) 694.258 + 210.601i 1.56717 + 0.475397i 0.950214 0.311597i \(-0.100864\pi\)
0.616960 + 0.786995i \(0.288364\pi\)
\(444\) −117.411 + 449.735i −0.264438 + 1.01292i
\(445\) −796.537 + 653.701i −1.78997 + 1.46899i
\(446\) −24.8430 361.225i −0.0557018 0.809922i
\(447\) 102.465 0.229229
\(448\) −192.877 + 134.331i −0.430529 + 0.299846i
\(449\) 302.043i 0.672702i 0.941737 + 0.336351i \(0.109193\pi\)
−0.941737 + 0.336351i \(0.890807\pi\)
\(450\) 9.52997 + 138.569i 0.0211777 + 0.307931i
\(451\) −87.7871 106.969i −0.194650 0.237182i
\(452\) −199.385 + 116.832i −0.441118 + 0.258477i
\(453\) 72.4713 238.906i 0.159981 0.527386i
\(454\) 283.832 267.556i 0.625180 0.589331i
\(455\) 815.751 162.263i 1.79286 0.356622i
\(456\) 228.385 566.776i 0.500843 1.24293i
\(457\) −692.270 137.701i −1.51481 0.301315i −0.633461 0.773774i \(-0.718366\pi\)
−0.881353 + 0.472459i \(0.843366\pi\)
\(458\) 172.207 749.446i 0.375997 1.63635i
\(459\) 342.409 33.7244i 0.745990 0.0734736i
\(460\) −128.526 278.878i −0.279405 0.606255i
\(461\) −284.630 + 86.3416i −0.617419 + 0.187292i −0.583474 0.812132i \(-0.698307\pi\)
−0.0339447 + 0.999424i \(0.510807\pi\)
\(462\) 61.1084 + 225.161i 0.132269 + 0.487361i
\(463\) −24.1870 58.3926i −0.0522398 0.126118i 0.895605 0.444850i \(-0.146743\pi\)
−0.947845 + 0.318732i \(0.896743\pi\)
\(464\) −22.7197 127.392i −0.0489649 0.274551i
\(465\) −154.312 63.9179i −0.331853 0.137458i
\(466\) 345.948 + 44.4134i 0.742377 + 0.0953077i
\(467\) −298.951 159.793i −0.640153 0.342169i 0.119179 0.992873i \(-0.461974\pi\)
−0.759332 + 0.650704i \(0.774474\pi\)
\(468\) 23.1767 + 96.5857i 0.0495228 + 0.206380i
\(469\) 150.883 183.851i 0.321712 0.392007i
\(470\) 222.267 + 1319.82i 0.472908 + 2.80813i
\(471\) 183.994 + 275.366i 0.390645 + 0.584642i
\(472\) −87.4141 104.443i −0.185199 0.221277i
\(473\) 115.936 173.511i 0.245109 0.366831i
\(474\) 429.775 163.336i 0.906697 0.344590i
\(475\) −1408.78 + 753.007i −2.96584 + 1.58528i
\(476\) −11.8269 + 200.165i −0.0248465 + 0.420515i
\(477\) −36.6793 3.61259i −0.0768958 0.00757357i
\(478\) −38.0730 + 18.9280i −0.0796507 + 0.0395984i
\(479\) 438.074 438.074i 0.914560 0.914560i −0.0820668 0.996627i \(-0.526152\pi\)
0.996627 + 0.0820668i \(0.0261521\pi\)
\(480\) −47.8263 + 967.977i −0.0996382 + 2.01662i
\(481\) 614.421 614.421i 1.27738 1.27738i
\(482\) −175.724 59.0208i −0.364574 0.122450i
\(483\) −93.0832 9.16790i −0.192719 0.0189812i
\(484\) −26.9729 77.8115i −0.0557291 0.160767i
\(485\) 341.502 182.537i 0.704128 0.376364i
\(486\) 46.1369 102.704i 0.0949318 0.211324i
\(487\) −181.668 + 271.886i −0.373035 + 0.558287i −0.969729 0.244182i \(-0.921481\pi\)
0.596694 + 0.802469i \(0.296481\pi\)
\(488\) −61.0635 + 6.60973i −0.125130 + 0.0135445i
\(489\) −255.324 382.120i −0.522136 0.781432i
\(490\) −393.498 + 552.873i −0.803057 + 1.12831i
\(491\) −56.4835 + 68.8253i −0.115038 + 0.140174i −0.827345 0.561693i \(-0.810150\pi\)
0.712308 + 0.701867i \(0.247650\pi\)
\(492\) −172.936 27.4102i −0.351495 0.0557119i
\(493\) −97.3563 52.0380i −0.197477 0.105554i
\(494\) −904.030 + 698.318i −1.83002 + 1.41360i
\(495\) 92.6679 + 38.3843i 0.187208 + 0.0775441i
\(496\) −76.9782 43.1326i −0.155198 0.0869609i
\(497\) 170.246 + 411.010i 0.342547 + 0.826982i
\(498\) 172.223 300.526i 0.345828 0.603466i
\(499\) −127.242 + 38.5985i −0.254995 + 0.0773517i −0.415194 0.909733i \(-0.636286\pi\)
0.160199 + 0.987085i \(0.448786\pi\)
\(500\) 1071.31 1158.68i 2.14262 2.31735i
\(501\) −601.373 + 59.2300i −1.20034 + 0.118224i
\(502\) −59.4243 94.8802i −0.118375 0.189004i
\(503\) −333.079 66.2535i −0.662185 0.131717i −0.147454 0.989069i \(-0.547108\pi\)
−0.514730 + 0.857352i \(0.672108\pi\)
\(504\) 25.7566 + 16.8528i 0.0511044 + 0.0334382i
\(505\) 212.517 42.2723i 0.420826 0.0837075i
\(506\) −160.952 4.75086i −0.318087 0.00938905i
\(507\) 361.453 1191.55i 0.712925 2.35020i
\(508\) 23.3730 3.23020i 0.0460098 0.00635866i
\(509\) 130.233 + 158.690i 0.255861 + 0.311768i 0.885060 0.465476i \(-0.154117\pi\)
−0.629199 + 0.777244i \(0.716617\pi\)
\(510\) 623.353 + 543.129i 1.22226 + 1.06496i
\(511\) 279.807i 0.547567i
\(512\) −85.3106 + 504.843i −0.166622 + 0.986021i
\(513\) 607.422 1.18406
\(514\) 44.8131 51.4324i 0.0871851 0.100063i
\(515\) 735.946 603.975i 1.42902 1.17277i
\(516\) −36.1483 261.561i −0.0700548 0.506901i
\(517\) 671.619 + 203.733i 1.29907 + 0.394068i
\(518\) 7.94455 269.150i 0.0153370 0.519594i
\(519\) 36.1129 + 181.552i 0.0695817 + 0.349811i
\(520\) 991.981 1516.07i 1.90766 2.91552i
\(521\) 106.863 537.238i 0.205112 1.03117i −0.731778 0.681543i \(-0.761309\pi\)
0.936890 0.349625i \(-0.113691\pi\)
\(522\) −14.3615 + 8.99473i −0.0275125 + 0.0172313i
\(523\) 73.1845 + 743.055i 0.139932 + 1.42075i 0.766929 + 0.641732i \(0.221784\pi\)
−0.626997 + 0.779022i \(0.715716\pi\)
\(524\) −610.536 564.501i −1.16514 1.07729i
\(525\) −224.015 738.480i −0.426696 1.40663i
\(526\) 560.754 + 321.351i 1.06607 + 0.610934i
\(527\) −69.5453 + 28.8066i −0.131965 + 0.0546615i
\(528\) 443.356 + 248.422i 0.839689 + 0.470497i
\(529\) −177.735 + 429.091i −0.335984 + 0.811137i
\(530\) 410.971 + 532.036i 0.775417 + 1.00384i
\(531\) −8.40763 + 15.7296i −0.0158336 + 0.0296225i
\(532\) −55.4159 + 349.628i −0.104165 + 0.657195i
\(533\) 253.026 + 207.653i 0.474720 + 0.389593i
\(534\) 557.027 + 396.455i 1.04312 + 0.742425i
\(535\) 97.1364 64.9044i 0.181563 0.121317i
\(536\) −55.7534 515.074i −0.104018 0.960959i
\(537\) 881.400 + 588.933i 1.64134 + 1.09671i
\(538\) −100.455 45.1265i −0.186719 0.0838783i
\(539\) 167.747 + 313.833i 0.311219 + 0.582250i
\(540\) −910.249 + 315.532i −1.68565 + 0.584319i
\(541\) −76.9136 + 780.917i −0.142169 + 1.44347i 0.614110 + 0.789220i \(0.289515\pi\)
−0.756279 + 0.654249i \(0.772985\pi\)
\(542\) 305.429 909.363i 0.563522 1.67779i
\(543\) 570.074 + 570.074i 1.04986 + 1.04986i
\(544\) 293.233 + 323.716i 0.539032 + 0.595066i
\(545\) −509.270 509.270i −0.934440 0.934440i
\(546\) −245.674 494.165i −0.449953 0.905064i
\(547\) 31.1876 316.653i 0.0570157 0.578890i −0.923655 0.383225i \(-0.874813\pi\)
0.980671 0.195665i \(-0.0626866\pi\)
\(548\) −28.3644 1.67594i −0.0517599 0.00305828i
\(549\) 3.79156 + 7.09351i 0.00690630 + 0.0129208i
\(550\) −471.972 1241.87i −0.858131 2.25794i
\(551\) −162.042 108.273i −0.294088 0.196503i
\(552\) −156.242 + 130.768i −0.283048 + 0.236898i
\(553\) −221.459 + 147.974i −0.400468 + 0.267584i
\(554\) −201.715 + 33.9701i −0.364106 + 0.0613178i
\(555\) −858.245 704.344i −1.54639 1.26909i
\(556\) −548.746 + 131.677i −0.986954 + 0.236829i
\(557\) −97.1046 + 181.670i −0.174335 + 0.326158i −0.953880 0.300189i \(-0.902950\pi\)
0.779545 + 0.626346i \(0.215450\pi\)
\(558\) −1.47141 + 11.4612i −0.00263693 + 0.0205397i
\(559\) −188.898 + 456.041i −0.337922 + 0.815816i
\(560\) −98.5749 552.719i −0.176027 0.986999i
\(561\) 400.546 165.912i 0.713986 0.295743i
\(562\) −702.419 + 190.636i −1.24986 + 0.339210i
\(563\) 72.6699 + 239.561i 0.129076 + 0.425507i 0.997528 0.0702659i \(-0.0223848\pi\)
−0.868452 + 0.495773i \(0.834885\pi\)
\(564\) 806.519 371.701i 1.43000 0.659044i
\(565\) −54.1055 549.342i −0.0957620 0.972288i
\(566\) −426.228 97.9380i −0.753052 0.173035i
\(567\) −64.0045 + 321.772i −0.112883 + 0.567500i
\(568\) 898.842 + 362.192i 1.58247 + 0.637661i
\(569\) 12.6808 + 63.7505i 0.0222861 + 0.112040i 0.990327 0.138752i \(-0.0443091\pi\)
−0.968041 + 0.250792i \(0.919309\pi\)
\(570\) 1001.20 + 1062.10i 1.75649 + 1.86334i
\(571\) 66.5068 + 20.1746i 0.116474 + 0.0353321i 0.347984 0.937501i \(-0.386866\pi\)
−0.231509 + 0.972833i \(0.574366\pi\)
\(572\) −480.313 819.704i −0.839708 1.43305i
\(573\) −575.323 + 472.156i −1.00405 + 0.824006i
\(574\) 101.195 6.95958i 0.176297 0.0121247i
\(575\) 532.616 0.926289
\(576\) 65.4957 14.3471i 0.113708 0.0249081i
\(577\) 170.631i 0.295721i −0.989008 0.147860i \(-0.952761\pi\)
0.989008 0.147860i \(-0.0472386\pi\)
\(578\) −204.904 + 14.0921i −0.354505 + 0.0243808i
\(579\) 45.8672 + 55.8893i 0.0792179 + 0.0965273i
\(580\) 299.072 + 78.0776i 0.515641 + 0.134617i
\(581\) −58.2482 + 192.018i −0.100255 + 0.330496i
\(582\) −176.237 186.957i −0.302813 0.321233i
\(583\) 345.759 68.7756i 0.593068 0.117969i
\(584\) 435.123 + 426.806i 0.745074 + 0.730833i
\(585\) −232.700 46.2868i −0.397777 0.0791228i
\(586\) 175.638 + 40.3580i 0.299724 + 0.0688703i
\(587\) −676.149 + 66.5949i −1.15187 + 0.113450i −0.655872 0.754872i \(-0.727699\pi\)
−0.496001 + 0.868322i \(0.665199\pi\)
\(588\) 422.418 + 155.892i 0.718397 + 0.265123i
\(589\) −127.170 + 38.5767i −0.215909 + 0.0654952i
\(590\) 313.969 85.2109i 0.532150 0.144425i
\(591\) −380.956 919.708i −0.644595 1.55619i
\(592\) −406.432 422.905i −0.686541 0.714366i
\(593\) −789.506 327.024i −1.33138 0.551474i −0.400328 0.916372i \(-0.631104\pi\)
−0.931048 + 0.364898i \(0.881104\pi\)
\(594\) −64.3286 + 501.072i −0.108297 + 0.843556i
\(595\) −422.403 225.779i −0.709922 0.379461i
\(596\) −67.5725 + 110.241i −0.113377 + 0.184967i
\(597\) 22.6586 27.6096i 0.0379541 0.0462472i
\(598\) 375.596 63.2528i 0.628087 0.105774i
\(599\) 398.935 + 597.048i 0.666001 + 0.996741i 0.998559 + 0.0536583i \(0.0170882\pi\)
−0.332558 + 0.943083i \(0.607912\pi\)
\(600\) −1490.10 778.085i −2.48350 1.29681i
\(601\) 587.889 879.838i 0.978185 1.46396i 0.0946947 0.995506i \(-0.469813\pi\)
0.883490 0.468450i \(-0.155187\pi\)
\(602\) 54.3419 + 142.986i 0.0902690 + 0.237519i
\(603\) −59.8342 + 31.9820i −0.0992274 + 0.0530382i
\(604\) 209.242 + 235.521i 0.346427 + 0.389935i
\(605\) 195.767 + 19.2814i 0.323582 + 0.0318701i
\(606\) −64.0024 128.739i −0.105615 0.212440i
\(607\) 660.798 660.798i 1.08863 1.08863i 0.0929603 0.995670i \(-0.470367\pi\)
0.995670 0.0929603i \(-0.0296330\pi\)
\(608\) 459.171 + 619.484i 0.755216 + 1.01889i
\(609\) 66.5747 66.5747i 0.109318 0.109318i
\(610\) 46.7118 139.076i 0.0765767 0.227994i
\(611\) −1652.15 162.722i −2.70401 0.266322i
\(612\) 24.9677 51.4613i 0.0407969 0.0840871i
\(613\) 168.040 89.8191i 0.274127 0.146524i −0.328606 0.944467i \(-0.606579\pi\)
0.602732 + 0.797943i \(0.294079\pi\)
\(614\) −66.7379 29.9802i −0.108694 0.0488277i
\(615\) 232.361 347.753i 0.377823 0.565452i
\(616\) −282.545 82.7405i −0.458677 0.134319i
\(617\) 188.500 + 282.110i 0.305511 + 0.457229i 0.952178 0.305543i \(-0.0988380\pi\)
−0.646668 + 0.762772i \(0.723838\pi\)
\(618\) −514.655 366.297i −0.832775 0.592714i
\(619\) 386.950 471.500i 0.625121 0.761713i −0.360116 0.932908i \(-0.617263\pi\)
0.985237 + 0.171195i \(0.0547628\pi\)
\(620\) 170.531 123.869i 0.275051 0.199789i
\(621\) −178.617 95.4727i −0.287628 0.153740i
\(622\) 37.0873 + 48.0126i 0.0596259 + 0.0771907i
\(623\) −365.928 151.572i −0.587364 0.243294i
\(624\) −1143.21 371.736i −1.83207 0.595730i
\(625\) 808.285 + 1951.37i 1.29326 + 3.12219i
\(626\) 246.205 + 141.093i 0.393299 + 0.225388i
\(627\) 732.438 222.183i 1.16816 0.354358i
\(628\) −417.599 + 16.3605i −0.664967 + 0.0260517i
\(629\) −497.965 + 49.0453i −0.791678 + 0.0779735i
\(630\) −62.3108 + 39.0258i −0.0989060 + 0.0619457i
\(631\) −217.311 43.2258i −0.344391 0.0685037i 0.0198644 0.999803i \(-0.493677\pi\)
−0.364256 + 0.931299i \(0.618677\pi\)
\(632\) −107.692 + 570.100i −0.170399 + 0.902058i
\(633\) 556.463 110.687i 0.879088 0.174862i
\(634\) −29.6863 + 1005.73i −0.0468239 + 1.58632i
\(635\) −16.3606 + 53.9337i −0.0257647 + 0.0849349i
\(636\) 269.266 355.627i 0.423374 0.559162i
\(637\) −533.992 650.671i −0.838292 1.02146i
\(638\) 106.477 122.205i 0.166893 0.191544i
\(639\) 126.904i 0.198598i
\(640\) −1009.89 689.804i −1.57795 1.07782i
\(641\) −864.554 −1.34876 −0.674379 0.738385i \(-0.735589\pi\)
−0.674379 + 0.738385i \(0.735589\pi\)
\(642\) −58.4428 50.9214i −0.0910325 0.0793168i
\(643\) −738.877 + 606.381i −1.14911 + 0.943050i −0.998959 0.0456136i \(-0.985476\pi\)
−0.150150 + 0.988663i \(0.547976\pi\)
\(644\) 71.2489 94.1005i 0.110635 0.146119i
\(645\) 603.557 + 183.087i 0.935748 + 0.283856i
\(646\) 657.532 + 19.4085i 1.01785 + 0.0300441i
\(647\) −16.9506 85.2166i −0.0261988 0.131710i 0.965472 0.260505i \(-0.0838891\pi\)
−0.991671 + 0.128795i \(0.958889\pi\)
\(648\) 402.753 + 590.351i 0.621532 + 0.911035i
\(649\) 33.2816 167.318i 0.0512814 0.257809i
\(650\) 1668.04 + 2663.29i 2.56622 + 4.09737i
\(651\) −6.29281 63.8919i −0.00966637 0.0981443i
\(652\) 579.493 22.7031i 0.888794 0.0348207i
\(653\) −100.188 330.275i −0.153427 0.505780i 0.846207 0.532855i \(-0.178881\pi\)
−0.999633 + 0.0270745i \(0.991381\pi\)
\(654\) −237.604 + 414.616i −0.363309 + 0.633970i
\(655\) 1835.00 760.084i 2.80153 1.16043i
\(656\) 143.535 167.982i 0.218804 0.256070i
\(657\) 30.5447 73.7415i 0.0464912 0.112240i
\(658\) −407.135 + 314.492i −0.618747 + 0.477951i
\(659\) 11.7257 21.9373i 0.0177932 0.0332887i −0.872868 0.487957i \(-0.837742\pi\)
0.890661 + 0.454668i \(0.150242\pi\)
\(660\) −982.176 + 713.424i −1.48815 + 1.08095i
\(661\) 71.0378 + 58.2992i 0.107470 + 0.0881986i 0.686594 0.727041i \(-0.259105\pi\)
−0.579124 + 0.815240i \(0.696605\pi\)
\(662\) −495.644 + 696.390i −0.748707 + 1.05195i
\(663\) −852.690 + 569.750i −1.28611 + 0.859351i
\(664\) 209.755 + 383.478i 0.315897 + 0.577527i
\(665\) −703.060 469.770i −1.05723 0.706421i
\(666\) −31.4751 + 70.0657i −0.0472600 + 0.105204i
\(667\) 30.6317 + 57.3079i 0.0459246 + 0.0859189i
\(668\) 332.861 686.065i 0.498295 1.02704i
\(669\) 56.2479 571.095i 0.0840776 0.853654i
\(670\) 1173.12 + 394.016i 1.75092 + 0.588084i
\(671\) −54.3999 54.3999i −0.0810729 0.0810729i
\(672\) −336.802 + 159.180i −0.501193 + 0.236874i
\(673\) −486.148 486.148i −0.722359 0.722359i 0.246726 0.969085i \(-0.420645\pi\)
−0.969085 + 0.246726i \(0.920645\pi\)
\(674\) 887.199 441.071i 1.31632 0.654408i
\(675\) 163.787 1662.96i 0.242648 2.46365i
\(676\) 1043.60 + 1174.67i 1.54379 + 1.73768i
\(677\) −147.319 275.615i −0.217606 0.407112i 0.749305 0.662225i \(-0.230388\pi\)
−0.966911 + 0.255112i \(0.917888\pi\)
\(678\) −342.368 + 130.117i −0.504967 + 0.191913i
\(679\) 123.757 + 82.6917i 0.182263 + 0.121785i
\(680\) −995.423 + 312.478i −1.46386 + 0.459526i
\(681\) 514.019 343.457i 0.754801 0.504342i
\(682\) −18.3547 108.990i −0.0269130 0.159810i
\(683\) 369.489 + 303.232i 0.540979 + 0.443970i 0.864777 0.502156i \(-0.167460\pi\)
−0.323798 + 0.946126i \(0.604960\pi\)
\(684\) 52.7712 86.0930i 0.0771508 0.125867i
\(685\) 31.9941 59.8567i 0.0467067 0.0873820i
\(686\) −615.702 79.0450i −0.897525 0.115226i
\(687\) 466.396 1125.98i 0.678888 1.63898i
\(688\) 305.247 + 133.599i 0.443673 + 0.194185i
\(689\) −770.410 + 319.114i −1.11816 + 0.463156i
\(690\) −127.472 469.684i −0.184742 0.680701i
\(691\) −61.2983 202.073i −0.0887095 0.292436i 0.901349 0.433094i \(-0.142578\pi\)
−0.990058 + 0.140658i \(0.955078\pi\)
\(692\) −219.143 80.8743i −0.316681 0.116870i
\(693\) 3.77899 + 38.3687i 0.00545308 + 0.0553661i
\(694\) 66.7504 290.499i 0.0961822 0.418586i
\(695\) 262.976 1322.07i 0.378383 1.90226i
\(696\) −1.97884 205.079i −0.00284317 0.294654i
\(697\) −36.7730 184.871i −0.0527590 0.265238i
\(698\) −68.1213 + 64.2151i −0.0975950 + 0.0919987i
\(699\) 528.989 + 160.467i 0.756780 + 0.229567i
\(700\) 942.246 + 245.989i 1.34607 + 0.351413i
\(701\) −291.593 + 239.304i −0.415967 + 0.341375i −0.818983 0.573818i \(-0.805462\pi\)
0.403016 + 0.915193i \(0.367962\pi\)
\(702\) −81.9896 1192.16i −0.116794 1.69823i
\(703\) −883.372 −1.25658
\(704\) −559.651 + 313.172i −0.794959 + 0.444846i
\(705\) 2121.24i 3.00885i
\(706\) 49.4643 + 719.227i 0.0700628 + 1.01874i
\(707\) 52.8370 + 64.3820i 0.0747340 + 0.0910637i
\(708\) −109.129 186.241i −0.154138 0.263052i
\(709\) −87.7115 + 289.146i −0.123712 + 0.407823i −0.996818 0.0797065i \(-0.974602\pi\)
0.873107 + 0.487529i \(0.162102\pi\)
\(710\) −1684.37 + 1587.79i −2.37235 + 2.23632i
\(711\) 74.5176 14.8225i 0.104807 0.0208474i
\(712\) −793.879 + 337.846i −1.11500 + 0.474503i
\(713\) 43.4587 + 8.64448i 0.0609519 + 0.0121241i
\(714\) −71.1679 + 309.724i −0.0996750 + 0.433787i
\(715\) 2258.43 222.436i 3.15865 0.311100i
\(716\) −1214.88 + 559.900i −1.69675 + 0.781983i
\(717\) −64.4860 + 19.5616i −0.0899386 + 0.0272826i
\(718\) −353.565 1302.75i −0.492431 1.81441i
\(719\) 459.146 + 1108.48i 0.638590 + 1.54169i 0.828558 + 0.559903i \(0.189162\pi\)
−0.189968 + 0.981790i \(0.560838\pi\)
\(720\) −34.3580 + 156.427i −0.0477194 + 0.217260i
\(721\) 338.092 + 140.042i 0.468921 + 0.194233i
\(722\) 435.750 + 55.9423i 0.603531 + 0.0774825i
\(723\) −259.104 138.494i −0.358374 0.191555i
\(724\) −989.275 + 237.386i −1.36640 + 0.327882i
\(725\) −340.118 + 414.435i −0.469128 + 0.571634i
\(726\) −21.6756 128.710i −0.0298562 0.177287i
\(727\) 490.007 + 733.347i 0.674012 + 1.00873i 0.998034 + 0.0626806i \(0.0199649\pi\)
−0.324022 + 0.946050i \(0.605035\pi\)
\(728\) 693.677 + 61.5693i 0.952852 + 0.0845732i
\(729\) −347.529 + 520.114i −0.476720 + 0.713462i
\(730\) −1360.92 + 517.218i −1.86428 + 0.708518i
\(731\) 250.688 133.995i 0.342938 0.183304i
\(732\) −97.1755 5.74170i −0.132753 0.00784385i
\(733\) 175.893 + 17.3240i 0.239964 + 0.0236344i 0.217284 0.976108i \(-0.430280\pi\)
0.0226796 + 0.999743i \(0.492780\pi\)
\(734\) 1039.13 516.604i 1.41571 0.703820i
\(735\) −760.512 + 760.512i −1.03471 + 1.03471i
\(736\) −37.6540 254.335i −0.0511603 0.345564i
\(737\) 458.866 458.866i 0.622614 0.622614i
\(738\) −27.4290 9.21261i −0.0371667 0.0124832i
\(739\) −816.908 80.4584i −1.10542 0.108875i −0.471202 0.882026i \(-0.656180\pi\)
−0.634222 + 0.773151i \(0.718680\pi\)
\(740\) 1323.77 458.878i 1.78888 0.620105i
\(741\) −1596.70 + 853.454i −2.15479 + 1.15176i
\(742\) −105.890 + 235.718i −0.142709 + 0.317679i
\(743\) −201.510 + 301.581i −0.271212 + 0.405897i −0.941927 0.335818i \(-0.890987\pi\)
0.670715 + 0.741715i \(0.265987\pi\)
\(744\) −108.956 87.6723i −0.146446 0.117839i
\(745\) −171.592 256.805i −0.230325 0.344705i
\(746\) 262.859 369.322i 0.352357 0.495070i
\(747\) 36.3124 44.2468i 0.0486110 0.0592327i
\(748\) −85.6458 + 540.353i −0.114500 + 0.722397i
\(749\) 39.6027 + 21.1681i 0.0528741 + 0.0282618i
\(750\) 1979.31 1528.92i 2.63908 2.03856i
\(751\) −483.775 200.386i −0.644174 0.266826i 0.0365877 0.999330i \(-0.488351\pi\)
−0.680762 + 0.732505i \(0.738351\pi\)
\(752\) −131.967 + 1112.84i −0.175488 + 1.47984i
\(753\) −67.9012 163.928i −0.0901743 0.217700i