Properties

Label 690.2.r.b.169.11
Level $690$
Weight $2$
Character 690.169
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 169.11
Character \(\chi\) \(=\) 690.169
Dual form 690.2.r.b.49.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.989821 + 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(1.08184 - 1.95694i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(0.378014 - 0.588202i) q^{7} +(0.909632 + 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(0.989821 + 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(1.08184 - 1.95694i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(0.378014 - 0.588202i) q^{7} +(0.909632 + 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +(1.34933 - 1.78306i) q^{10} +(-0.745698 - 5.18645i) q^{11} +(-0.989821 + 0.142315i) q^{12} +(-1.92796 - 2.99996i) q^{13} +(0.457877 - 0.528418i) q^{14} +(-0.171128 + 2.22951i) q^{15} +(0.841254 + 0.540641i) q^{16} +(0.765463 + 2.60693i) q^{17} +(0.755750 - 0.654861i) q^{18} +(-3.73394 - 1.09638i) q^{19} +(1.58935 - 1.57289i) q^{20} +(-0.0995061 + 0.692080i) q^{21} -5.23978i q^{22} +(0.308327 + 4.78591i) q^{23} -1.00000 q^{24} +(-2.65926 - 4.23418i) q^{25} +(-1.48140 - 3.24380i) q^{26} +(-0.281733 + 0.959493i) q^{27} +(0.528418 - 0.457877i) q^{28} +(8.22773 - 2.41588i) q^{29} +(-0.486678 + 2.18246i) q^{30} +(2.66056 - 5.82581i) q^{31} +(0.755750 + 0.654861i) q^{32} +(2.83284 + 4.40798i) q^{33} +(0.386667 + 2.68933i) q^{34} +(-0.742129 - 1.37609i) q^{35} +(0.841254 - 0.540641i) q^{36} +(4.34838 + 3.76789i) q^{37} +(-3.53991 - 1.61662i) q^{38} +(2.99996 + 1.92796i) q^{39} +(1.79702 - 1.33069i) q^{40} +(-1.31526 - 1.51789i) q^{41} +(-0.196987 + 0.670875i) q^{42} +(4.36540 - 1.99361i) q^{43} +(0.745698 - 5.18645i) q^{44} +(-0.770509 - 2.09912i) q^{45} +(-0.375917 + 4.78108i) q^{46} +5.47253i q^{47} +(-0.989821 - 0.142315i) q^{48} +(2.70482 + 5.92273i) q^{49} +(-2.02961 - 4.56954i) q^{50} +(-1.77925 - 2.05336i) q^{51} +(-1.00468 - 3.42161i) q^{52} +(1.05405 - 1.64013i) q^{53} +(-0.415415 + 0.909632i) q^{54} +(-10.9563 - 4.15159i) q^{55} +(0.588202 - 0.378014i) q^{56} +(3.85197 - 0.553830i) q^{57} +(8.48780 - 1.22036i) q^{58} +(-9.17993 + 5.89959i) q^{59} +(-0.792321 + 2.09099i) q^{60} +(5.71509 - 12.5143i) q^{61} +(3.46258 - 5.38788i) q^{62} +(-0.196987 - 0.670875i) q^{63} +(0.654861 + 0.755750i) q^{64} +(-7.95649 + 0.527443i) q^{65} +(2.17668 + 4.76627i) q^{66} +(-3.44525 - 0.495352i) q^{67} +2.71699i q^{68} +(-2.26860 - 4.22533i) q^{69} +(-0.538737 - 1.46770i) q^{70} +(-0.0479933 + 0.333800i) q^{71} +(0.909632 - 0.415415i) q^{72} +(-3.65477 + 12.4470i) q^{73} +(3.76789 + 4.34838i) q^{74} +(4.17790 + 2.74685i) q^{75} +(-3.27381 - 2.10395i) q^{76} +(-3.33256 - 1.52193i) q^{77} +(2.69505 + 2.33527i) q^{78} +(-3.98251 + 2.55940i) q^{79} +(1.96810 - 1.06140i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-1.08585 - 1.68962i) q^{82} +(12.2644 + 10.6272i) q^{83} +(-0.290457 + 0.636012i) q^{84} +(5.92972 + 1.32230i) q^{85} +(4.60469 - 1.35206i) q^{86} +(-6.48061 + 5.61548i) q^{87} +(1.47622 - 5.02753i) q^{88} +(3.75816 + 8.22923i) q^{89} +(-0.463930 - 2.18741i) q^{90} -2.49338 q^{91} +(-1.05251 + 4.67891i) q^{92} +6.40458i q^{93} +(-0.778822 + 5.41682i) q^{94} +(-6.18508 + 6.12101i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(5.51857 - 4.78187i) q^{97} +(1.83440 + 6.24738i) q^{98} +(-4.40798 - 2.83284i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} + 8 q^{5} - 12 q^{6} + 12 q^{9} + O(q^{10}) \) \( 120 q + 12 q^{4} + 8 q^{5} - 12 q^{6} + 12 q^{9} - 18 q^{10} - 8 q^{11} - 4 q^{15} - 12 q^{16} + 16 q^{19} + 14 q^{20} - 22 q^{21} - 120 q^{24} + 28 q^{25} + 8 q^{26} + 8 q^{29} + 8 q^{30} + 8 q^{31} + 44 q^{34} + 58 q^{35} - 12 q^{36} + 14 q^{39} - 4 q^{40} + 8 q^{44} - 8 q^{45} + 12 q^{49} - 4 q^{50} + 12 q^{54} + 92 q^{55} - 94 q^{59} + 4 q^{60} - 60 q^{61} + 12 q^{64} - 44 q^{65} - 8 q^{66} + 16 q^{70} - 16 q^{74} + 4 q^{75} - 16 q^{76} + 172 q^{79} + 8 q^{80} - 12 q^{81} - 32 q^{85} - 40 q^{86} + 48 q^{89} - 4 q^{90} + 288 q^{91} + 24 q^{94} - 78 q^{95} - 12 q^{96} - 36 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{3}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.989821 + 0.142315i 0.699909 + 0.100632i
\(3\) −0.909632 + 0.415415i −0.525176 + 0.239840i
\(4\) 0.959493 + 0.281733i 0.479746 + 0.140866i
\(5\) 1.08184 1.95694i 0.483811 0.875172i
\(6\) −0.959493 + 0.281733i −0.391711 + 0.115017i
\(7\) 0.378014 0.588202i 0.142876 0.222319i −0.762439 0.647060i \(-0.775998\pi\)
0.905315 + 0.424741i \(0.139635\pi\)
\(8\) 0.909632 + 0.415415i 0.321603 + 0.146871i
\(9\) 0.654861 0.755750i 0.218287 0.251917i
\(10\) 1.34933 1.78306i 0.426694 0.563855i
\(11\) −0.745698 5.18645i −0.224837 1.56377i −0.719378 0.694619i \(-0.755573\pi\)
0.494542 0.869154i \(-0.335336\pi\)
\(12\) −0.989821 + 0.142315i −0.285737 + 0.0410828i
\(13\) −1.92796 2.99996i −0.534719 0.832040i 0.463828 0.885925i \(-0.346476\pi\)
−0.998547 + 0.0538857i \(0.982839\pi\)
\(14\) 0.457877 0.528418i 0.122373 0.141226i
\(15\) −0.171128 + 2.22951i −0.0441850 + 0.575657i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) 0.765463 + 2.60693i 0.185652 + 0.632273i 0.998742 + 0.0501355i \(0.0159653\pi\)
−0.813090 + 0.582138i \(0.802217\pi\)
\(18\) 0.755750 0.654861i 0.178132 0.154352i
\(19\) −3.73394 1.09638i −0.856625 0.251528i −0.176208 0.984353i \(-0.556383\pi\)
−0.680417 + 0.732825i \(0.738201\pi\)
\(20\) 1.58935 1.57289i 0.355389 0.351708i
\(21\) −0.0995061 + 0.692080i −0.0217140 + 0.151024i
\(22\) 5.23978i 1.11712i
\(23\) 0.308327 + 4.78591i 0.0642907 + 0.997931i
\(24\) −1.00000 −0.204124
\(25\) −2.65926 4.23418i −0.531853 0.846837i
\(26\) −1.48140 3.24380i −0.290526 0.636162i
\(27\) −0.281733 + 0.959493i −0.0542195 + 0.184655i
\(28\) 0.528418 0.457877i 0.0998616 0.0865305i
\(29\) 8.22773 2.41588i 1.52785 0.448617i 0.593459 0.804864i \(-0.297762\pi\)
0.934392 + 0.356247i \(0.115944\pi\)
\(30\) −0.486678 + 2.18246i −0.0888549 + 0.398461i
\(31\) 2.66056 5.82581i 0.477851 1.04635i −0.505198 0.863003i \(-0.668581\pi\)
0.983049 0.183344i \(-0.0586922\pi\)
\(32\) 0.755750 + 0.654861i 0.133599 + 0.115764i
\(33\) 2.83284 + 4.40798i 0.493134 + 0.767331i
\(34\) 0.386667 + 2.68933i 0.0663129 + 0.461216i
\(35\) −0.742129 1.37609i −0.125443 0.232602i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) 4.34838 + 3.76789i 0.714870 + 0.619438i 0.934424 0.356162i \(-0.115915\pi\)
−0.219555 + 0.975600i \(0.570460\pi\)
\(38\) −3.53991 1.61662i −0.574249 0.262251i
\(39\) 2.99996 + 1.92796i 0.480378 + 0.308720i
\(40\) 1.79702 1.33069i 0.284133 0.210400i
\(41\) −1.31526 1.51789i −0.205408 0.237054i 0.643693 0.765284i \(-0.277401\pi\)
−0.849101 + 0.528230i \(0.822856\pi\)
\(42\) −0.196987 + 0.670875i −0.0303957 + 0.103518i
\(43\) 4.36540 1.99361i 0.665718 0.304023i −0.0537443 0.998555i \(-0.517116\pi\)
0.719462 + 0.694532i \(0.244388\pi\)
\(44\) 0.745698 5.18645i 0.112418 0.781886i
\(45\) −0.770509 2.09912i −0.114861 0.312919i
\(46\) −0.375917 + 4.78108i −0.0554259 + 0.704931i
\(47\) 5.47253i 0.798250i 0.916896 + 0.399125i \(0.130686\pi\)
−0.916896 + 0.399125i \(0.869314\pi\)
\(48\) −0.989821 0.142315i −0.142868 0.0205414i
\(49\) 2.70482 + 5.92273i 0.386403 + 0.846104i
\(50\) −2.02961 4.56954i −0.287030 0.646230i
\(51\) −1.77925 2.05336i −0.249144 0.287528i
\(52\) −1.00468 3.42161i −0.139323 0.474492i
\(53\) 1.05405 1.64013i 0.144784 0.225289i −0.761286 0.648417i \(-0.775431\pi\)
0.906070 + 0.423128i \(0.139068\pi\)
\(54\) −0.415415 + 0.909632i −0.0565308 + 0.123785i
\(55\) −10.9563 4.15159i −1.47735 0.559800i
\(56\) 0.588202 0.378014i 0.0786018 0.0505143i
\(57\) 3.85197 0.553830i 0.510206 0.0733565i
\(58\) 8.48780 1.22036i 1.11450 0.160241i
\(59\) −9.17993 + 5.89959i −1.19513 + 0.768061i −0.978106 0.208107i \(-0.933270\pi\)
−0.217020 + 0.976167i \(0.569634\pi\)
\(60\) −0.792321 + 2.09099i −0.102288 + 0.269945i
\(61\) 5.71509 12.5143i 0.731742 1.60229i −0.0649364 0.997889i \(-0.520684\pi\)
0.796679 0.604403i \(-0.206588\pi\)
\(62\) 3.46258 5.38788i 0.439748 0.684261i
\(63\) −0.196987 0.670875i −0.0248180 0.0845222i
\(64\) 0.654861 + 0.755750i 0.0818576 + 0.0944687i
\(65\) −7.95649 + 0.527443i −0.986882 + 0.0654213i
\(66\) 2.17668 + 4.76627i 0.267931 + 0.586687i
\(67\) −3.44525 0.495352i −0.420904 0.0605169i −0.0713911 0.997448i \(-0.522744\pi\)
−0.349513 + 0.936932i \(0.613653\pi\)
\(68\) 2.71699i 0.329483i
\(69\) −2.26860 4.22533i −0.273108 0.508670i
\(70\) −0.538737 1.46770i −0.0643914 0.175424i
\(71\) −0.0479933 + 0.333800i −0.00569575 + 0.0396148i −0.992471 0.122479i \(-0.960916\pi\)
0.986775 + 0.162094i \(0.0518247\pi\)
\(72\) 0.909632 0.415415i 0.107201 0.0489571i
\(73\) −3.65477 + 12.4470i −0.427759 + 1.45681i 0.410662 + 0.911788i \(0.365298\pi\)
−0.838420 + 0.545024i \(0.816521\pi\)
\(74\) 3.76789 + 4.34838i 0.438009 + 0.505489i
\(75\) 4.17790 + 2.74685i 0.482422 + 0.317179i
\(76\) −3.27381 2.10395i −0.375531 0.241339i
\(77\) −3.33256 1.52193i −0.379781 0.173440i
\(78\) 2.69505 + 2.33527i 0.305154 + 0.264418i
\(79\) −3.98251 + 2.55940i −0.448067 + 0.287955i −0.745151 0.666896i \(-0.767622\pi\)
0.297083 + 0.954852i \(0.403986\pi\)
\(80\) 1.96810 1.06140i 0.220040 0.118668i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) −1.08585 1.68962i −0.119912 0.186587i
\(83\) 12.2644 + 10.6272i 1.34620 + 1.16649i 0.970874 + 0.239592i \(0.0770137\pi\)
0.375323 + 0.926894i \(0.377532\pi\)
\(84\) −0.290457 + 0.636012i −0.0316914 + 0.0693946i
\(85\) 5.92972 + 1.32230i 0.643168 + 0.143423i
\(86\) 4.60469 1.35206i 0.496537 0.145796i
\(87\) −6.48061 + 5.61548i −0.694794 + 0.602043i
\(88\) 1.47622 5.02753i 0.157365 0.535937i
\(89\) 3.75816 + 8.22923i 0.398364 + 0.872296i 0.997433 + 0.0715990i \(0.0228102\pi\)
−0.599069 + 0.800697i \(0.704463\pi\)
\(90\) −0.463930 2.18741i −0.0489025 0.230573i
\(91\) −2.49338 −0.261377
\(92\) −1.05251 + 4.67891i −0.109732 + 0.487810i
\(93\) 6.40458i 0.664124i
\(94\) −0.778822 + 5.41682i −0.0803293 + 0.558703i
\(95\) −6.18508 + 6.12101i −0.634575 + 0.628003i
\(96\) −0.959493 0.281733i −0.0979278 0.0287542i
\(97\) 5.51857 4.78187i 0.560326 0.485525i −0.328038 0.944664i \(-0.606387\pi\)
0.888364 + 0.459139i \(0.151842\pi\)
\(98\) 1.83440 + 6.24738i 0.185302 + 0.631080i
\(99\) −4.40798 2.83284i −0.443019 0.284711i
\(100\) −1.35864 4.81187i −0.135864 0.481187i
\(101\) −7.49296 + 8.64734i −0.745578 + 0.860442i −0.994132 0.108176i \(-0.965499\pi\)
0.248554 + 0.968618i \(0.420045\pi\)
\(102\) −1.46891 2.28567i −0.145444 0.226315i
\(103\) −0.662661 + 0.0952763i −0.0652940 + 0.00938786i −0.174884 0.984589i \(-0.555955\pi\)
0.109590 + 0.993977i \(0.465046\pi\)
\(104\) −0.507504 3.52976i −0.0497648 0.346122i
\(105\) 1.24671 + 0.943445i 0.121667 + 0.0920708i
\(106\) 1.27673 1.47343i 0.124007 0.143112i
\(107\) −16.0338 7.32238i −1.55004 0.707881i −0.557546 0.830146i \(-0.688257\pi\)
−0.992498 + 0.122265i \(0.960984\pi\)
\(108\) −0.540641 + 0.841254i −0.0520232 + 0.0809497i
\(109\) 18.5700 5.45265i 1.77869 0.522269i 0.783598 0.621269i \(-0.213382\pi\)
0.995087 + 0.0989994i \(0.0315642\pi\)
\(110\) −10.2540 5.66858i −0.977677 0.540478i
\(111\) −5.52067 1.62101i −0.523998 0.153860i
\(112\) 0.636012 0.290457i 0.0600975 0.0274456i
\(113\) 8.26542 + 1.18839i 0.777546 + 0.111794i 0.519651 0.854379i \(-0.326062\pi\)
0.257895 + 0.966173i \(0.416971\pi\)
\(114\) 3.89158 0.364480
\(115\) 9.69932 + 4.57419i 0.904466 + 0.426545i
\(116\) 8.57508 0.796176
\(117\) −3.52976 0.507504i −0.326327 0.0469187i
\(118\) −9.92609 + 4.53310i −0.913771 + 0.417305i
\(119\) 1.82276 + 0.535210i 0.167092 + 0.0490626i
\(120\) −1.08184 + 1.95694i −0.0987576 + 0.178644i
\(121\) −15.7887 + 4.63599i −1.43534 + 0.421454i
\(122\) 7.43789 11.5736i 0.673395 1.04782i
\(123\) 1.82695 + 0.834341i 0.164731 + 0.0752300i
\(124\) 4.19411 4.84026i 0.376642 0.434668i
\(125\) −11.1629 + 0.623345i −0.998445 + 0.0557537i
\(126\) −0.0995061 0.692080i −0.00886471 0.0616554i
\(127\) −10.1325 + 1.45683i −0.899110 + 0.129273i −0.576345 0.817206i \(-0.695522\pi\)
−0.322765 + 0.946479i \(0.604612\pi\)
\(128\) 0.540641 + 0.841254i 0.0477863 + 0.0743570i
\(129\) −3.14273 + 3.62691i −0.276702 + 0.319332i
\(130\) −7.95057 0.610252i −0.697311 0.0535227i
\(131\) −9.08296 5.83726i −0.793582 0.510004i 0.0799340 0.996800i \(-0.474529\pi\)
−0.873516 + 0.486796i \(0.838165\pi\)
\(132\) 1.47622 + 5.02753i 0.128488 + 0.437590i
\(133\) −2.05638 + 1.78186i −0.178311 + 0.154507i
\(134\) −3.33968 0.980620i −0.288505 0.0847126i
\(135\) 1.57289 + 1.58935i 0.135373 + 0.136789i
\(136\) −0.386667 + 2.68933i −0.0331565 + 0.230608i
\(137\) 5.08329i 0.434295i 0.976139 + 0.217148i \(0.0696753\pi\)
−0.976139 + 0.217148i \(0.930325\pi\)
\(138\) −1.64418 4.50518i −0.139962 0.383506i
\(139\) −7.27060 −0.616684 −0.308342 0.951276i \(-0.599774\pi\)
−0.308342 + 0.951276i \(0.599774\pi\)
\(140\) −0.324378 1.52943i −0.0274150 0.129261i
\(141\) −2.27337 4.97799i −0.191452 0.419222i
\(142\) −0.0950095 + 0.323573i −0.00797302 + 0.0271536i
\(143\) −14.1215 + 12.2363i −1.18090 + 1.02325i
\(144\) 0.959493 0.281733i 0.0799577 0.0234777i
\(145\) 4.17330 18.7148i 0.346574 1.55418i
\(146\) −5.38896 + 11.8002i −0.445994 + 0.976590i
\(147\) −4.92078 4.26388i −0.405859 0.351679i
\(148\) 3.11070 + 4.84035i 0.255698 + 0.397874i
\(149\) 3.26584 + 22.7144i 0.267548 + 1.86084i 0.471514 + 0.881859i \(0.343708\pi\)
−0.203966 + 0.978978i \(0.565383\pi\)
\(150\) 3.74445 + 3.31347i 0.305733 + 0.270544i
\(151\) −8.86234 + 5.69548i −0.721207 + 0.463492i −0.849057 0.528302i \(-0.822829\pi\)
0.127849 + 0.991794i \(0.459193\pi\)
\(152\) −2.94106 2.54844i −0.238551 0.206706i
\(153\) 2.47146 + 1.12868i 0.199805 + 0.0912481i
\(154\) −3.08205 1.98071i −0.248359 0.159610i
\(155\) −8.52251 11.5091i −0.684544 0.924436i
\(156\) 2.33527 + 2.69505i 0.186972 + 0.215777i
\(157\) 2.99734 10.2080i 0.239214 0.814688i −0.749126 0.662427i \(-0.769526\pi\)
0.988340 0.152261i \(-0.0486554\pi\)
\(158\) −4.30621 + 1.96658i −0.342584 + 0.156453i
\(159\) −0.277461 + 1.92978i −0.0220041 + 0.153042i
\(160\) 2.09912 0.770509i 0.165950 0.0609141i
\(161\) 2.93163 + 1.62778i 0.231045 + 0.128287i
\(162\) 1.00000i 0.0785674i
\(163\) 0.652108 + 0.0937589i 0.0510770 + 0.00734377i 0.167806 0.985820i \(-0.446332\pi\)
−0.116729 + 0.993164i \(0.537241\pi\)
\(164\) −0.834341 1.82695i −0.0651511 0.142661i
\(165\) 11.6908 0.774997i 0.910131 0.0603334i
\(166\) 10.6272 + 12.2644i 0.824830 + 0.951905i
\(167\) 2.60631 + 8.87626i 0.201682 + 0.686866i 0.996765 + 0.0803657i \(0.0256088\pi\)
−0.795083 + 0.606500i \(0.792573\pi\)
\(168\) −0.378014 + 0.588202i −0.0291644 + 0.0453808i
\(169\) 0.117647 0.257611i 0.00904977 0.0198162i
\(170\) 5.68118 + 2.15273i 0.435727 + 0.165107i
\(171\) −3.27381 + 2.10395i −0.250354 + 0.160893i
\(172\) 4.75024 0.682982i 0.362202 0.0520769i
\(173\) −2.41967 + 0.347896i −0.183964 + 0.0264501i −0.233681 0.972313i \(-0.575077\pi\)
0.0497169 + 0.998763i \(0.484168\pi\)
\(174\) −7.21381 + 4.63604i −0.546878 + 0.351457i
\(175\) −3.49580 0.0363977i −0.264257 0.00275141i
\(176\) 2.17668 4.76627i 0.164074 0.359271i
\(177\) 5.89959 9.17993i 0.443440 0.690006i
\(178\) 2.54877 + 8.68031i 0.191038 + 0.650617i
\(179\) 8.61580 + 9.94317i 0.643975 + 0.743187i 0.980072 0.198640i \(-0.0636525\pi\)
−0.336097 + 0.941827i \(0.609107\pi\)
\(180\) −0.147906 2.23117i −0.0110243 0.166302i
\(181\) 3.70354 + 8.10962i 0.275282 + 0.602783i 0.995891 0.0905581i \(-0.0288651\pi\)
−0.720609 + 0.693341i \(0.756138\pi\)
\(182\) −2.46800 0.354845i −0.182940 0.0263029i
\(183\) 13.7575i 1.01699i
\(184\) −1.70767 + 4.48150i −0.125891 + 0.330381i
\(185\) 12.0778 4.43330i 0.887977 0.325943i
\(186\) −0.911467 + 6.33939i −0.0668320 + 0.464827i
\(187\) 12.9499 5.91402i 0.946990 0.432476i
\(188\) −1.54179 + 5.25085i −0.112447 + 0.382958i
\(189\) 0.457877 + 0.528418i 0.0333056 + 0.0384367i
\(190\) −6.99323 + 5.17848i −0.507342 + 0.375687i
\(191\) 11.2683 + 7.24171i 0.815347 + 0.523991i 0.880591 0.473878i \(-0.157146\pi\)
−0.0652440 + 0.997869i \(0.520783\pi\)
\(192\) −0.909632 0.415415i −0.0656470 0.0299800i
\(193\) −14.6648 12.7071i −1.05560 0.914679i −0.0590945 0.998252i \(-0.518821\pi\)
−0.996502 + 0.0835731i \(0.973367\pi\)
\(194\) 6.14293 3.94782i 0.441037 0.283437i
\(195\) 7.01837 3.78503i 0.502596 0.271051i
\(196\) 0.926630 + 6.44485i 0.0661878 + 0.460346i
\(197\) −9.87333 15.3632i −0.703446 1.09458i −0.990612 0.136702i \(-0.956350\pi\)
0.287166 0.957881i \(-0.407287\pi\)
\(198\) −3.95996 3.43133i −0.281422 0.243854i
\(199\) 5.07810 11.1195i 0.359977 0.788240i −0.639828 0.768518i \(-0.720995\pi\)
0.999806 0.0197220i \(-0.00627811\pi\)
\(200\) −0.660009 4.95625i −0.0466697 0.350460i
\(201\) 3.33968 0.980620i 0.235563 0.0691676i
\(202\) −8.64734 + 7.49296i −0.608425 + 0.527203i
\(203\) 1.68917 5.75280i 0.118557 0.403768i
\(204\) −1.12868 2.47146i −0.0790232 0.173037i
\(205\) −4.39331 + 0.931780i −0.306842 + 0.0650784i
\(206\) −0.669476 −0.0466446
\(207\) 3.81886 + 2.90109i 0.265429 + 0.201639i
\(208\) 3.56606i 0.247262i
\(209\) −2.90194 + 20.1835i −0.200732 + 1.39612i
\(210\) 1.09976 + 1.11127i 0.0758905 + 0.0766847i
\(211\) 17.9165 + 5.26076i 1.23342 + 0.362166i 0.832541 0.553964i \(-0.186885\pi\)
0.400883 + 0.916129i \(0.368704\pi\)
\(212\) 1.47343 1.27673i 0.101195 0.0876864i
\(213\) −0.0950095 0.323573i −0.00650994 0.0221708i
\(214\) −14.8285 9.52969i −1.01365 0.651436i
\(215\) 0.821257 10.6996i 0.0560093 0.729708i
\(216\) −0.654861 + 0.755750i −0.0445576 + 0.0514222i
\(217\) −2.42103 3.76719i −0.164350 0.255733i
\(218\) 19.1570 2.75436i 1.29748 0.186549i
\(219\) −1.84618 12.8404i −0.124753 0.867677i
\(220\) −9.34287 7.07017i −0.629896 0.476671i
\(221\) 6.34491 7.32241i 0.426805 0.492559i
\(222\) −5.23378 2.39019i −0.351268 0.160419i
\(223\) 4.19821 6.53253i 0.281133 0.437451i −0.671755 0.740773i \(-0.734459\pi\)
0.952888 + 0.303322i \(0.0980958\pi\)
\(224\) 0.670875 0.196987i 0.0448247 0.0131617i
\(225\) −4.94143 0.763062i −0.329429 0.0508708i
\(226\) 8.01217 + 2.35259i 0.532962 + 0.156492i
\(227\) −0.0690392 + 0.0315291i −0.00458229 + 0.00209266i −0.417705 0.908583i \(-0.637165\pi\)
0.413123 + 0.910675i \(0.364438\pi\)
\(228\) 3.85197 + 0.553830i 0.255103 + 0.0366783i
\(229\) −14.6648 −0.969081 −0.484540 0.874769i \(-0.661013\pi\)
−0.484540 + 0.874769i \(0.661013\pi\)
\(230\) 8.94962 + 5.90799i 0.590121 + 0.389561i
\(231\) 3.66364 0.241050
\(232\) 8.48780 + 1.22036i 0.557251 + 0.0801206i
\(233\) 15.6535 7.14871i 1.02549 0.468328i 0.169619 0.985510i \(-0.445746\pi\)
0.855875 + 0.517182i \(0.173019\pi\)
\(234\) −3.42161 1.00468i −0.223678 0.0656777i
\(235\) 10.7094 + 5.92037i 0.698606 + 0.386203i
\(236\) −10.4702 + 3.07432i −0.681551 + 0.200121i
\(237\) 2.55940 3.98251i 0.166251 0.258692i
\(238\) 1.72804 + 0.789167i 0.112012 + 0.0511541i
\(239\) 2.66870 3.07985i 0.172624 0.199219i −0.662844 0.748757i \(-0.730651\pi\)
0.835468 + 0.549538i \(0.185196\pi\)
\(240\) −1.34933 + 1.78306i −0.0870986 + 0.115096i
\(241\) −3.41098 23.7239i −0.219720 1.52819i −0.739071 0.673627i \(-0.764735\pi\)
0.519351 0.854561i \(-0.326174\pi\)
\(242\) −16.2878 + 2.34183i −1.04702 + 0.150539i
\(243\) 0.540641 + 0.841254i 0.0346821 + 0.0539664i
\(244\) 9.00928 10.3973i 0.576760 0.665616i
\(245\) 14.5166 + 1.11423i 0.927433 + 0.0711858i
\(246\) 1.68962 + 1.08585i 0.107726 + 0.0692313i
\(247\) 3.90978 + 13.3155i 0.248773 + 0.847243i
\(248\) 4.84026 4.19411i 0.307357 0.266326i
\(249\) −15.5708 4.57201i −0.986761 0.289739i
\(250\) −11.1380 0.971653i −0.704431 0.0614527i
\(251\) −0.237575 + 1.65237i −0.0149956 + 0.104297i −0.995945 0.0899689i \(-0.971323\pi\)
0.980949 + 0.194265i \(0.0622323\pi\)
\(252\) 0.699197i 0.0440453i
\(253\) 24.5919 5.16797i 1.54608 0.324907i
\(254\) −10.2367 −0.642305
\(255\) −5.94317 + 1.26049i −0.372175 + 0.0789350i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) 2.45152 8.34913i 0.152922 0.520804i −0.847020 0.531561i \(-0.821606\pi\)
0.999942 + 0.0107565i \(0.00342396\pi\)
\(258\) −3.62691 + 3.14273i −0.225801 + 0.195658i
\(259\) 3.86003 1.13341i 0.239851 0.0704265i
\(260\) −7.78280 1.73552i −0.482669 0.107633i
\(261\) 3.56222 7.80017i 0.220496 0.482818i
\(262\) −8.15978 7.07049i −0.504113 0.436816i
\(263\) 9.90143 + 15.4069i 0.610548 + 0.950032i 0.999585 + 0.0288094i \(0.00917159\pi\)
−0.389037 + 0.921222i \(0.627192\pi\)
\(264\) 0.745698 + 5.18645i 0.0458946 + 0.319204i
\(265\) −2.06934 3.83706i −0.127118 0.235709i
\(266\) −2.28903 + 1.47107i −0.140350 + 0.0901973i
\(267\) −6.83709 5.92437i −0.418423 0.362566i
\(268\) −3.16613 1.44593i −0.193402 0.0883239i
\(269\) 11.1820 + 7.18625i 0.681780 + 0.438153i 0.835155 0.550015i \(-0.185378\pi\)
−0.153375 + 0.988168i \(0.549014\pi\)
\(270\) 1.33069 + 1.79702i 0.0809831 + 0.109363i
\(271\) −1.23019 1.41971i −0.0747286 0.0862414i 0.717154 0.696915i \(-0.245444\pi\)
−0.791883 + 0.610673i \(0.790899\pi\)
\(272\) −0.765463 + 2.60693i −0.0464130 + 0.158068i
\(273\) 2.26806 1.03579i 0.137269 0.0626887i
\(274\) −0.723428 + 5.03155i −0.0437039 + 0.303967i
\(275\) −19.9774 + 16.9496i −1.20468 + 1.02210i
\(276\) −0.986295 4.69332i −0.0593680 0.282504i
\(277\) 15.2176i 0.914338i −0.889380 0.457169i \(-0.848863\pi\)
0.889380 0.457169i \(-0.151137\pi\)
\(278\) −7.19659 1.03471i −0.431623 0.0620580i
\(279\) −2.66056 5.82581i −0.159284 0.348782i
\(280\) −0.103416 1.56003i −0.00618027 0.0932295i
\(281\) 11.4483 + 13.2120i 0.682947 + 0.788163i 0.986343 0.164702i \(-0.0526661\pi\)
−0.303397 + 0.952864i \(0.598121\pi\)
\(282\) −1.54179 5.25085i −0.0918122 0.312684i
\(283\) −10.4488 + 16.2587i −0.621118 + 0.966479i 0.378054 + 0.925784i \(0.376594\pi\)
−0.999172 + 0.0406948i \(0.987043\pi\)
\(284\) −0.140092 + 0.306758i −0.00831291 + 0.0182027i
\(285\) 3.08338 8.13724i 0.182644 0.482009i
\(286\) −15.7191 + 10.1021i −0.929492 + 0.597348i
\(287\) −1.39001 + 0.199853i −0.0820496 + 0.0117970i
\(288\) 0.989821 0.142315i 0.0583258 0.00838598i
\(289\) 8.09117 5.19988i 0.475951 0.305875i
\(290\) 6.79422 17.9304i 0.398970 1.05291i
\(291\) −3.03341 + 6.64224i −0.177822 + 0.389375i
\(292\) −7.01345 + 10.9131i −0.410431 + 0.638644i
\(293\) 8.18543 + 27.8770i 0.478198 + 1.62859i 0.746591 + 0.665283i \(0.231689\pi\)
−0.268394 + 0.963309i \(0.586493\pi\)
\(294\) −4.26388 4.92078i −0.248674 0.286986i
\(295\) 1.61399 + 24.3470i 0.0939699 + 1.41754i
\(296\) 2.39019 + 5.23378i 0.138927 + 0.304207i
\(297\) 5.18645 + 0.745698i 0.300948 + 0.0432698i
\(298\) 22.9480i 1.32934i
\(299\) 13.7631 10.1520i 0.795941 0.587106i
\(300\) 3.23478 + 3.81263i 0.186760 + 0.220122i
\(301\) 0.477539 3.32135i 0.0275249 0.191440i
\(302\) −9.58269 + 4.37627i −0.551422 + 0.251826i
\(303\) 3.22360 10.9786i 0.185191 0.630703i
\(304\) −2.54844 2.94106i −0.146163 0.168681i
\(305\) −18.3070 24.7225i −1.04826 1.41561i
\(306\) 2.28567 + 1.46891i 0.130663 + 0.0839722i
\(307\) 15.5716 + 7.11132i 0.888719 + 0.405864i 0.806835 0.590778i \(-0.201179\pi\)
0.0818844 + 0.996642i \(0.473906\pi\)
\(308\) −2.76879 2.39917i −0.157767 0.136706i
\(309\) 0.563199 0.361946i 0.0320393 0.0205904i
\(310\) −6.79784 12.6049i −0.386091 0.715909i
\(311\) −2.93809 20.4349i −0.166604 1.15876i −0.885840 0.463991i \(-0.846417\pi\)
0.719236 0.694766i \(-0.244492\pi\)
\(312\) 1.92796 + 2.99996i 0.109149 + 0.169839i
\(313\) −10.1029 8.75417i −0.571047 0.494815i 0.320803 0.947146i \(-0.396047\pi\)
−0.891850 + 0.452331i \(0.850593\pi\)
\(314\) 4.41959 9.67754i 0.249412 0.546135i
\(315\) −1.52597 0.340284i −0.0859787 0.0191728i
\(316\) −4.54226 + 1.33373i −0.255522 + 0.0750280i
\(317\) −2.29903 + 1.99212i −0.129126 + 0.111888i −0.717030 0.697043i \(-0.754499\pi\)
0.587904 + 0.808931i \(0.299953\pi\)
\(318\) −0.549273 + 1.87065i −0.0308017 + 0.104901i
\(319\) −18.6652 40.8711i −1.04505 2.28834i
\(320\) 2.18741 0.463930i 0.122280 0.0259345i
\(321\) 17.6267 0.983824
\(322\) 2.67014 + 2.02843i 0.148801 + 0.113040i
\(323\) 10.5734i 0.588318i
\(324\) 0.142315 0.989821i 0.00790638 0.0549901i
\(325\) −7.57544 + 16.1410i −0.420210 + 0.895343i
\(326\) 0.632127 + 0.185609i 0.0350103 + 0.0102799i
\(327\) −14.6268 + 12.6742i −0.808862 + 0.700883i
\(328\) −0.565846 1.92709i −0.0312436 0.106406i
\(329\) 3.21895 + 2.06869i 0.177467 + 0.114051i
\(330\) 11.6821 + 0.896672i 0.643081 + 0.0493602i
\(331\) 9.23796 10.6612i 0.507764 0.585991i −0.442760 0.896640i \(-0.646001\pi\)
0.950525 + 0.310649i \(0.100546\pi\)
\(332\) 8.77361 + 13.6520i 0.481515 + 0.749251i
\(333\) 5.69517 0.818842i 0.312093 0.0448722i
\(334\) 1.31655 + 9.15683i 0.0720386 + 0.501039i
\(335\) −4.69657 + 6.20627i −0.256601 + 0.339085i
\(336\) −0.457877 + 0.528418i −0.0249792 + 0.0288276i
\(337\) 16.3025 + 7.44512i 0.888056 + 0.405562i 0.806588 0.591114i \(-0.201312\pi\)
0.0814681 + 0.996676i \(0.474039\pi\)
\(338\) 0.153111 0.238246i 0.00832816 0.0129589i
\(339\) −8.01217 + 2.35259i −0.435161 + 0.127775i
\(340\) 5.31699 + 2.93933i 0.288354 + 0.159408i
\(341\) −32.1993 9.45455i −1.74369 0.511993i
\(342\) −3.53991 + 1.61662i −0.191416 + 0.0874168i
\(343\) 9.35078 + 1.34444i 0.504895 + 0.0725929i
\(344\) 4.79909 0.258750
\(345\) −10.7230 0.131583i −0.577307 0.00708420i
\(346\) −2.44455 −0.131420
\(347\) 6.59279 + 0.947901i 0.353920 + 0.0508860i 0.316982 0.948432i \(-0.397331\pi\)
0.0369378 + 0.999318i \(0.488240\pi\)
\(348\) −7.80017 + 3.56222i −0.418133 + 0.190955i
\(349\) −15.3854 4.51755i −0.823559 0.241819i −0.157311 0.987549i \(-0.550283\pi\)
−0.666248 + 0.745730i \(0.732101\pi\)
\(350\) −3.45503 0.533531i −0.184679 0.0285184i
\(351\) 3.42161 1.00468i 0.182632 0.0536256i
\(352\) 2.83284 4.40798i 0.150991 0.234946i
\(353\) −6.70203 3.06071i −0.356713 0.162905i 0.228995 0.973428i \(-0.426456\pi\)
−0.585708 + 0.810522i \(0.699183\pi\)
\(354\) 7.14598 8.24690i 0.379804 0.438318i
\(355\) 0.601308 + 0.455037i 0.0319141 + 0.0241509i
\(356\) 1.28749 + 8.95468i 0.0682368 + 0.474597i
\(357\) −1.88037 + 0.270357i −0.0995198 + 0.0143088i
\(358\) 7.11305 + 11.0681i 0.375936 + 0.584968i
\(359\) 16.4979 19.0396i 0.870725 1.00487i −0.129187 0.991620i \(-0.541237\pi\)
0.999912 0.0132499i \(-0.00421770\pi\)
\(360\) 0.171128 2.22951i 0.00901923 0.117505i
\(361\) −3.24354 2.08450i −0.170713 0.109710i
\(362\) 2.51172 + 8.55414i 0.132013 + 0.449596i
\(363\) 12.4361 10.7759i 0.652725 0.565589i
\(364\) −2.39238 0.702466i −0.125395 0.0368192i
\(365\) 20.4042 + 20.6178i 1.06801 + 1.07918i
\(366\) −1.95790 + 13.6175i −0.102341 + 0.711799i
\(367\) 24.9237i 1.30100i 0.759505 + 0.650502i \(0.225441\pi\)
−0.759505 + 0.650502i \(0.774559\pi\)
\(368\) −2.32808 + 4.19286i −0.121359 + 0.218568i
\(369\) −2.00845 −0.104556
\(370\) 12.5858 2.66933i 0.654304 0.138772i
\(371\) −0.566282 1.23998i −0.0293999 0.0643768i
\(372\) −1.80438 + 6.14515i −0.0935527 + 0.318611i
\(373\) 8.54253 7.40214i 0.442315 0.383268i −0.405036 0.914301i \(-0.632741\pi\)
0.847352 + 0.531032i \(0.178196\pi\)
\(374\) 13.6597 4.01086i 0.706328 0.207397i
\(375\) 9.89523 5.20427i 0.510987 0.268747i
\(376\) −2.27337 + 4.97799i −0.117240 + 0.256720i
\(377\) −23.1103 20.0252i −1.19024 1.03135i
\(378\) 0.378014 + 0.588202i 0.0194430 + 0.0302538i
\(379\) 3.30677 + 22.9991i 0.169857 + 1.18138i 0.879177 + 0.476496i \(0.158093\pi\)
−0.709319 + 0.704887i \(0.750998\pi\)
\(380\) −7.65903 + 4.13053i −0.392900 + 0.211892i
\(381\) 8.61162 5.53435i 0.441187 0.283533i
\(382\) 10.1230 + 8.77164i 0.517939 + 0.448796i
\(383\) −32.8631 15.0081i −1.67923 0.766877i −0.999440 0.0334683i \(-0.989345\pi\)
−0.679788 0.733409i \(-0.737928\pi\)
\(384\) −0.841254 0.540641i −0.0429300 0.0275895i
\(385\) −6.58362 + 4.87516i −0.335532 + 0.248461i
\(386\) −12.7071 14.6648i −0.646776 0.746419i
\(387\) 1.35206 4.60469i 0.0687290 0.234070i
\(388\) 6.64224 3.03341i 0.337209 0.153998i
\(389\) 0.329297 2.29031i 0.0166960 0.116123i −0.979769 0.200132i \(-0.935863\pi\)
0.996465 + 0.0840081i \(0.0267721\pi\)
\(390\) 7.48560 2.74768i 0.379048 0.139134i
\(391\) −12.2405 + 4.46723i −0.619029 + 0.225917i
\(392\) 6.51112i 0.328861i
\(393\) 10.6870 + 1.53656i 0.539090 + 0.0775094i
\(394\) −7.58642 16.6119i −0.382198 0.836898i
\(395\) 0.700192 + 10.5624i 0.0352305 + 0.531452i
\(396\) −3.43133 3.95996i −0.172431 0.198996i
\(397\) 9.32110 + 31.7448i 0.467813 + 1.59322i 0.768730 + 0.639574i \(0.220889\pi\)
−0.300917 + 0.953650i \(0.597293\pi\)
\(398\) 6.60888 10.2836i 0.331273 0.515471i
\(399\) 1.13034 2.47509i 0.0565876 0.123910i
\(400\) 0.0520564 4.99973i 0.00260282 0.249986i
\(401\) −5.41843 + 3.48222i −0.270584 + 0.173894i −0.668895 0.743357i \(-0.733233\pi\)
0.398312 + 0.917250i \(0.369596\pi\)
\(402\) 3.44525 0.495352i 0.171833 0.0247059i
\(403\) −22.6067 + 3.25035i −1.12612 + 0.161911i
\(404\) −9.62568 + 6.18605i −0.478896 + 0.307767i
\(405\) −2.09099 0.792321i −0.103902 0.0393708i
\(406\) 2.49069 5.45385i 0.123611 0.270670i
\(407\) 16.2994 25.3624i 0.807931 1.25717i
\(408\) −0.765463 2.60693i −0.0378961 0.129062i
\(409\) −13.1488 15.1745i −0.650166 0.750332i 0.330972 0.943641i \(-0.392623\pi\)
−0.981138 + 0.193309i \(0.938078\pi\)
\(410\) −4.48120 + 0.297063i −0.221311 + 0.0146709i
\(411\) −2.11168 4.62393i −0.104161 0.228082i
\(412\) −0.662661 0.0952763i −0.0326470 0.00469393i
\(413\) 7.62978i 0.375437i
\(414\) 3.36712 + 3.41504i 0.165485 + 0.167840i
\(415\) 34.0649 12.5040i 1.67218 0.613795i
\(416\) 0.507504 3.52976i 0.0248824 0.173061i
\(417\) 6.61357 3.02031i 0.323868 0.147905i
\(418\) −5.74481 + 19.5650i −0.280988 + 0.956957i
\(419\) −3.11298 3.59257i −0.152079 0.175509i 0.674598 0.738185i \(-0.264317\pi\)
−0.826677 + 0.562677i \(0.809772\pi\)
\(420\) 0.930414 + 1.25647i 0.0453995 + 0.0613094i
\(421\) 7.03159 + 4.51893i 0.342699 + 0.220239i 0.700657 0.713499i \(-0.252890\pi\)
−0.357958 + 0.933738i \(0.616527\pi\)
\(422\) 16.9855 + 7.75700i 0.826839 + 0.377605i
\(423\) 4.13586 + 3.58374i 0.201092 + 0.174248i
\(424\) 1.64013 1.05405i 0.0796517 0.0511890i
\(425\) 9.00264 10.1736i 0.436692 0.493493i
\(426\) −0.0479933 0.333800i −0.00232528 0.0161727i
\(427\) −5.20055 8.09221i −0.251672 0.391610i
\(428\) −13.3213 11.5430i −0.643911 0.557952i
\(429\) 7.76219 16.9968i 0.374762 0.820614i
\(430\) 2.33561 10.4738i 0.112633 0.505093i
\(431\) 12.5236 3.67727i 0.603242 0.177128i 0.0341706 0.999416i \(-0.489121\pi\)
0.569071 + 0.822288i \(0.307303\pi\)
\(432\) −0.755750 + 0.654861i −0.0363610 + 0.0315070i
\(433\) −0.235621 + 0.802452i −0.0113232 + 0.0385634i −0.964961 0.262394i \(-0.915488\pi\)
0.953638 + 0.300957i \(0.0973062\pi\)
\(434\) −1.86026 4.07339i −0.0892951 0.195529i
\(435\) 3.97823 + 18.7572i 0.190742 + 0.899340i
\(436\) 19.3540 0.926888
\(437\) 4.09592 18.2084i 0.195935 0.871024i
\(438\) 12.9725i 0.619849i
\(439\) −2.32546 + 16.1739i −0.110988 + 0.771940i 0.855974 + 0.517020i \(0.172959\pi\)
−0.966962 + 0.254921i \(0.917951\pi\)
\(440\) −8.24158 8.32784i −0.392902 0.397014i
\(441\) 6.24738 + 1.83440i 0.297494 + 0.0873522i
\(442\) 7.32241 6.34491i 0.348292 0.301796i
\(443\) −1.27270 4.33442i −0.0604678 0.205935i 0.923718 0.383073i \(-0.125134\pi\)
−0.984186 + 0.177138i \(0.943316\pi\)
\(444\) −4.84035 3.11070i −0.229713 0.147627i
\(445\) 20.1699 + 1.54815i 0.956143 + 0.0733895i
\(446\) 5.08515 5.86858i 0.240789 0.277885i
\(447\) −12.4066 19.3051i −0.586813 0.913099i
\(448\) 0.692080 0.0995061i 0.0326977 0.00470122i
\(449\) 1.69888 + 11.8159i 0.0801749 + 0.557628i 0.989829 + 0.142262i \(0.0454376\pi\)
−0.909654 + 0.415366i \(0.863653\pi\)
\(450\) −4.78254 1.45853i −0.225451 0.0687560i
\(451\) −6.89165 + 7.95339i −0.324515 + 0.374510i
\(452\) 7.59581 + 3.46889i 0.357277 + 0.163163i
\(453\) 5.69548 8.86234i 0.267597 0.416389i
\(454\) −0.0728235 + 0.0213829i −0.00341778 + 0.00100355i
\(455\) −2.69743 + 4.87941i −0.126457 + 0.228750i
\(456\) 3.73394 + 1.09638i 0.174858 + 0.0513429i
\(457\) 11.1120 5.07468i 0.519797 0.237383i −0.138199 0.990404i \(-0.544131\pi\)
0.657996 + 0.753021i \(0.271404\pi\)
\(458\) −14.5156 2.08703i −0.678269 0.0975203i
\(459\) −2.71699 −0.126818
\(460\) 8.01773 + 7.12151i 0.373829 + 0.332042i
\(461\) −26.9976 −1.25740 −0.628701 0.777647i \(-0.716413\pi\)
−0.628701 + 0.777647i \(0.716413\pi\)
\(462\) 3.62635 + 0.521390i 0.168713 + 0.0242573i
\(463\) −10.4920 + 4.79156i −0.487607 + 0.222683i −0.644019 0.765009i \(-0.722734\pi\)
0.156413 + 0.987692i \(0.450007\pi\)
\(464\) 8.22773 + 2.41588i 0.381963 + 0.112154i
\(465\) 12.5334 + 6.92871i 0.581223 + 0.321311i
\(466\) 16.5115 4.84822i 0.764882 0.224590i
\(467\) 9.48329 14.7563i 0.438834 0.682839i −0.549439 0.835534i \(-0.685159\pi\)
0.988273 + 0.152694i \(0.0487950\pi\)
\(468\) −3.24380 1.48140i −0.149945 0.0684775i
\(469\) −1.59372 + 1.83925i −0.0735912 + 0.0849287i
\(470\) 9.75787 + 7.38422i 0.450097 + 0.340609i
\(471\) 1.51408 + 10.5307i 0.0697652 + 0.485228i
\(472\) −10.8011 + 1.55297i −0.497163 + 0.0714812i
\(473\) −13.5950 21.1543i −0.625101 0.972676i
\(474\) 3.10012 3.57773i 0.142393 0.164331i
\(475\) 5.28725 + 18.7258i 0.242596 + 0.859198i
\(476\) 1.59814 + 1.02706i 0.0732504 + 0.0470752i
\(477\) −0.549273 1.87065i −0.0251495 0.0856512i
\(478\) 3.07985 2.66870i 0.140869 0.122064i
\(479\) −6.31947 1.85556i −0.288744 0.0847829i 0.134153 0.990961i \(-0.457169\pi\)
−0.422897 + 0.906178i \(0.638987\pi\)
\(480\) −1.58935 + 1.57289i −0.0725435 + 0.0717921i
\(481\) 2.92004 20.3093i 0.133142 0.926025i
\(482\) 23.9678i 1.09170i
\(483\) −3.34291 0.262840i −0.152108 0.0119596i
\(484\) −16.4553 −0.747968
\(485\) −3.38767 15.9727i −0.153826 0.725285i
\(486\) 0.415415 + 0.909632i 0.0188436 + 0.0412617i
\(487\) −10.8847 + 37.0698i −0.493232 + 1.67979i 0.217281 + 0.976109i \(0.430281\pi\)
−0.710513 + 0.703684i \(0.751537\pi\)
\(488\) 10.3973 9.00928i 0.470662 0.407831i
\(489\) −0.632127 + 0.185609i −0.0285858 + 0.00839354i
\(490\) 14.2103 + 3.16882i 0.641955 + 0.143153i
\(491\) 12.1731 26.6554i 0.549365 1.20294i −0.407713 0.913110i \(-0.633674\pi\)
0.957078 0.289831i \(-0.0935992\pi\)
\(492\) 1.51789 + 1.31526i 0.0684316 + 0.0592963i
\(493\) 12.5960 + 19.5998i 0.567297 + 0.882732i
\(494\) 1.97499 + 13.7364i 0.0888590 + 0.618028i
\(495\) −10.3124 + 5.56151i −0.463509 + 0.249971i
\(496\) 5.38788 3.46258i 0.241923 0.155474i
\(497\) 0.178200 + 0.154411i 0.00799336 + 0.00692628i
\(498\) −14.7617 6.74143i −0.661486 0.302091i
\(499\) −3.82672 2.45928i −0.171307 0.110093i 0.452177 0.891928i \(-0.350647\pi\)
−0.623485 + 0.781835i \(0.714284\pi\)
\(500\) −10.8864 2.54687i −0.486854 0.113900i
\(501\) −6.05811 6.99143i −0.270656 0.312354i
\(502\) −0.470313 + 1.60174i −0.0209911 + 0.0714891i
\(503\) 6.79778 3.10444i 0.303098 0.138420i −0.258060 0.966129i \(-0.583083\pi\)
0.561158 + 0.827709i \(0.310356\pi\)
\(504\) 0.0995061 0.692080i 0.00443235 0.0308277i
\(505\) 8.81621 + 24.0183i 0.392316 + 1.06880i
\(506\) 25.0771 1.61557i 1.11481 0.0718207i
\(507\) 0.283203i 0.0125775i
\(508\) −10.1325 1.45683i −0.449555 0.0646363i
\(509\) 18.7127 + 40.9751i 0.829426 + 1.81619i 0.467580 + 0.883951i \(0.345126\pi\)
0.361846 + 0.932238i \(0.382147\pi\)
\(510\) −6.06206 + 0.401860i −0.268432 + 0.0177946i
\(511\) 5.93980 + 6.85489i 0.262761 + 0.303242i
\(512\) 0.281733 + 0.959493i 0.0124509 + 0.0424040i
\(513\) 2.10395 3.27381i 0.0928915 0.144542i
\(514\) 3.61478 7.91526i 0.159441 0.349127i
\(515\) −0.530440 + 1.39986i −0.0233740 + 0.0616854i
\(516\) −4.03725 + 2.59458i −0.177730 + 0.114220i
\(517\) 28.3830 4.08085i 1.24828 0.179476i
\(518\) 3.98204 0.572532i 0.174961 0.0251556i
\(519\) 2.05649 1.32163i 0.0902698 0.0580129i
\(520\) −7.45659 2.82547i −0.326993 0.123905i
\(521\) 8.96959 19.6407i 0.392965 0.860473i −0.604970 0.796248i \(-0.706815\pi\)
0.997935 0.0642254i \(-0.0204577\pi\)
\(522\) 4.63604 7.21381i 0.202914 0.315740i
\(523\) −10.1525 34.5763i −0.443938 1.51191i −0.812863 0.582455i \(-0.802092\pi\)
0.368924 0.929459i \(-0.379726\pi\)
\(524\) −7.07049 8.15978i −0.308876 0.356461i
\(525\) 3.19501 1.41910i 0.139442 0.0619345i
\(526\) 7.60801 + 16.6592i 0.331725 + 0.726377i
\(527\) 17.2240 + 2.47644i 0.750291 + 0.107876i
\(528\) 5.23978i 0.228032i
\(529\) −22.8099 + 2.95125i −0.991733 + 0.128315i
\(530\) −1.50220 4.09250i −0.0652515 0.177767i
\(531\) −1.55297 + 10.8011i −0.0673931 + 0.468729i
\(532\) −2.47509 + 1.13034i −0.107309 + 0.0490063i
\(533\) −2.01784 + 6.87214i −0.0874024 + 0.297665i
\(534\) −5.92437 6.83709i −0.256373 0.295870i
\(535\) −31.6754 + 23.4556i −1.36945 + 1.01407i
\(536\) −2.92813 1.88180i −0.126476 0.0812812i
\(537\) −11.9678 5.46549i −0.516447 0.235853i
\(538\) 10.0455 + 8.70447i 0.433092 + 0.375276i
\(539\) 28.7009 18.4450i 1.23624 0.794481i
\(540\) 1.06140 + 1.96810i 0.0456755 + 0.0846936i
\(541\) −0.764317 5.31594i −0.0328606 0.228550i 0.966772 0.255638i \(-0.0822856\pi\)
−0.999633 + 0.0270881i \(0.991377\pi\)
\(542\) −1.01562 1.58034i −0.0436246 0.0678812i
\(543\) −6.73772 5.83826i −0.289143 0.250544i
\(544\) −1.12868 + 2.47146i −0.0483916 + 0.105963i
\(545\) 9.41917 42.2394i 0.403473 1.80934i
\(546\) 2.39238 0.702466i 0.102384 0.0300628i
\(547\) −14.8188 + 12.8406i −0.633608 + 0.549024i −0.911351 0.411631i \(-0.864959\pi\)
0.277743 + 0.960656i \(0.410414\pi\)
\(548\) −1.43213 + 4.87739i −0.0611775 + 0.208352i
\(549\) −5.71509 12.5143i −0.243914 0.534097i
\(550\) −22.1862 + 13.9340i −0.946022 + 0.594146i
\(551\) −33.3706 −1.42164
\(552\) −0.308327 4.78591i −0.0131233 0.203702i
\(553\) 3.31001i 0.140756i
\(554\) 2.16569 15.0627i 0.0920115 0.639954i
\(555\) −9.14469 + 9.04997i −0.388170 + 0.384150i
\(556\) −6.97609 2.04836i −0.295852 0.0868700i
\(557\) −5.70848 + 4.94643i −0.241876 + 0.209587i −0.767360 0.641217i \(-0.778430\pi\)
0.525484 + 0.850804i \(0.323884\pi\)
\(558\) −1.80438 6.14515i −0.0763855 0.260145i
\(559\) −14.3971 9.25244i −0.608932 0.391337i
\(560\) 0.119652 1.55887i 0.00505622 0.0658741i
\(561\) −9.32286 + 10.7592i −0.393612 + 0.454252i
\(562\) 9.45148 + 14.7068i 0.398687 + 0.620369i
\(563\) 9.00327 1.29448i 0.379443 0.0545556i 0.0500452 0.998747i \(-0.484063\pi\)
0.329398 + 0.944191i \(0.393154\pi\)
\(564\) −0.778822 5.41682i −0.0327943 0.228089i
\(565\) 11.2674 14.8893i 0.474025 0.626399i
\(566\) −12.6563 + 14.6062i −0.531985 + 0.613943i
\(567\) −0.636012 0.290457i −0.0267100 0.0121980i
\(568\) −0.182322 + 0.283698i −0.00765006 + 0.0119037i
\(569\) −1.36234 + 0.400018i −0.0571121 + 0.0167696i −0.310164 0.950683i \(-0.600384\pi\)
0.253052 + 0.967453i \(0.418566\pi\)
\(570\) 4.21005 7.61561i 0.176340 0.318983i
\(571\) −34.9130 10.2514i −1.46106 0.429007i −0.547880 0.836557i \(-0.684565\pi\)
−0.913183 + 0.407550i \(0.866383\pi\)
\(572\) −16.9968 + 7.76219i −0.710673 + 0.324553i
\(573\) −13.2583 1.90626i −0.553875 0.0796352i
\(574\) −1.40430 −0.0586145
\(575\) 19.4445 14.0325i 0.810892 0.585196i
\(576\) 1.00000 0.0416667
\(577\) −37.8576 5.44311i −1.57603 0.226600i −0.701897 0.712278i \(-0.747663\pi\)
−0.874137 + 0.485679i \(0.838572\pi\)
\(578\) 8.74883 3.99546i 0.363903 0.166189i
\(579\) 18.6183 + 5.46683i 0.773751 + 0.227194i
\(580\) 9.27682 16.7810i 0.385199 0.696791i
\(581\) 10.8871 3.19673i 0.451672 0.132623i
\(582\) −3.94782 + 6.14293i −0.163643 + 0.254633i
\(583\) −9.29244 4.24372i −0.384854 0.175757i
\(584\) −8.49517 + 9.80395i −0.351533 + 0.405690i
\(585\) −4.81178 + 6.35852i −0.198943 + 0.262892i
\(586\) 4.13480 + 28.7582i 0.170807 + 1.18799i
\(587\) 23.8886 3.43466i 0.985988 0.141764i 0.369587 0.929196i \(-0.379499\pi\)
0.616401 + 0.787432i \(0.288590\pi\)
\(588\) −3.52018 5.47751i −0.145170 0.225889i
\(589\) −16.3217 + 18.8363i −0.672525 + 0.776135i
\(590\) −1.86738 + 24.3289i −0.0768789 + 1.00160i
\(591\) 15.3632 + 9.87333i 0.631958 + 0.406135i
\(592\) 1.62101 + 5.52067i 0.0666233 + 0.226898i
\(593\) −11.9524 + 10.3568i −0.490828 + 0.425305i −0.864786 0.502141i \(-0.832546\pi\)
0.373958 + 0.927446i \(0.378000\pi\)
\(594\) 5.02753 + 1.47622i 0.206282 + 0.0605699i
\(595\) 3.01930 2.98803i 0.123779 0.122497i
\(596\) −3.26584 + 22.7144i −0.133774 + 0.930418i
\(597\) 12.2242i 0.500302i
\(598\) 15.0678 8.08998i 0.616168 0.330824i
\(599\) 17.9876 0.734955 0.367478 0.930032i \(-0.380221\pi\)
0.367478 + 0.930032i \(0.380221\pi\)
\(600\) 2.65926 + 4.23418i 0.108564 + 0.172860i
\(601\) 18.5179 + 40.5485i 0.755361 + 1.65401i 0.756486 + 0.654010i \(0.226915\pi\)
−0.00112508 + 0.999999i \(0.500358\pi\)
\(602\) 0.945356 3.21959i 0.0385298 0.131221i
\(603\) −2.63052 + 2.27936i −0.107123 + 0.0928226i
\(604\) −10.1080 + 2.96796i −0.411287 + 0.120765i
\(605\) −8.00843 + 35.9131i −0.325589 + 1.46007i
\(606\) 4.75321 10.4081i 0.193086 0.422799i
\(607\) −18.7469 16.2443i −0.760912 0.659334i 0.185373 0.982668i \(-0.440651\pi\)
−0.946285 + 0.323334i \(0.895196\pi\)
\(608\) −2.10395 3.27381i −0.0853263 0.132770i
\(609\) 0.853273 + 5.93464i 0.0345763 + 0.240484i
\(610\) −14.6023 27.0763i −0.591229 1.09629i
\(611\) 16.4174 10.5508i 0.664176 0.426840i
\(612\) 2.05336 + 1.77925i 0.0830022 + 0.0719218i
\(613\) −18.2522 8.33551i −0.737201 0.336668i 0.0111803 0.999937i \(-0.496441\pi\)
−0.748381 + 0.663269i \(0.769168\pi\)
\(614\) 14.4011 + 9.25501i 0.581180 + 0.373502i
\(615\) 3.60922 2.67262i 0.145538 0.107771i
\(616\) −2.39917 2.76879i −0.0966654 0.111558i
\(617\) −12.8572 + 43.7876i −0.517611 + 1.76282i 0.120326 + 0.992734i \(0.461606\pi\)
−0.637938 + 0.770088i \(0.720212\pi\)
\(618\) 0.608977 0.278110i 0.0244966 0.0111872i
\(619\) −3.39385 + 23.6047i −0.136410 + 0.948755i 0.800537 + 0.599284i \(0.204548\pi\)
−0.936947 + 0.349471i \(0.886361\pi\)
\(620\) −4.93479 13.4440i −0.198186 0.539924i
\(621\) −4.67891 1.05251i −0.187758 0.0422357i
\(622\) 20.6450i 0.827790i
\(623\) 6.26109 + 0.900208i 0.250845 + 0.0360661i
\(624\) 1.48140 + 3.24380i 0.0593033 + 0.129856i
\(625\) −10.8566 + 22.5196i −0.434265 + 0.900785i
\(626\) −8.75417 10.1029i −0.349887 0.403791i
\(627\) −5.74481 19.5650i −0.229426 0.781353i
\(628\) 5.75186 8.95007i 0.229524 0.357147i
\(629\) −6.49410 + 14.2201i −0.258937 + 0.566993i
\(630\) −1.46201 0.553989i −0.0582479 0.0220714i
\(631\) 2.84185 1.82635i 0.113132 0.0727057i −0.482851 0.875702i \(-0.660399\pi\)
0.595983 + 0.802997i \(0.296762\pi\)
\(632\) −4.68583 + 0.673721i −0.186392 + 0.0267992i
\(633\) −18.4828 + 2.65743i −0.734627 + 0.105623i
\(634\) −2.55913 + 1.64465i −0.101636 + 0.0653176i
\(635\) −8.11072 + 21.4047i −0.321864 + 0.849420i
\(636\) −0.809903 + 1.77344i −0.0321148 + 0.0703215i
\(637\) 12.5532 19.5331i 0.497375 0.773931i
\(638\) −12.6587 43.1115i −0.501162 1.70680i
\(639\) 0.220841 + 0.254864i 0.00873632 + 0.0100823i
\(640\) 2.23117 0.147906i 0.0881948 0.00584652i
\(641\) 5.74361 + 12.5768i 0.226859 + 0.496752i 0.988495 0.151253i \(-0.0483308\pi\)
−0.761636 + 0.648005i \(0.775604\pi\)
\(642\) 17.4472 + 2.50854i 0.688588 + 0.0990040i
\(643\) 24.0953i 0.950224i −0.879925 0.475112i \(-0.842408\pi\)
0.879925 0.475112i \(-0.157592\pi\)
\(644\) 2.35428 + 2.38778i 0.0927717 + 0.0940919i
\(645\) 3.69774 + 10.0739i 0.145598 + 0.396658i
\(646\) 1.50475 10.4657i 0.0592035 0.411769i
\(647\) −41.9590 + 19.1620i −1.64958 + 0.753337i −0.999976 0.00693652i \(-0.997792\pi\)
−0.649603 + 0.760274i \(0.725065\pi\)
\(648\) 0.281733 0.959493i 0.0110675 0.0376924i
\(649\) 37.4433 + 43.2119i 1.46978 + 1.69622i
\(650\) −9.79544 + 14.8986i −0.384209 + 0.584373i
\(651\) 3.76719 + 2.42103i 0.147648 + 0.0948875i
\(652\) 0.599278 + 0.273681i 0.0234695 + 0.0107182i
\(653\) −8.60115 7.45294i −0.336589 0.291656i 0.470123 0.882601i \(-0.344210\pi\)
−0.806712 + 0.590945i \(0.798755\pi\)
\(654\) −16.2816 + 10.4636i −0.636661 + 0.409157i
\(655\) −21.2495 + 11.4599i −0.830285 + 0.447775i
\(656\) −0.285832 1.98801i −0.0111599 0.0776187i
\(657\) 7.01345 + 10.9131i 0.273621 + 0.425762i
\(658\) 2.89178 + 2.50574i 0.112733 + 0.0976840i
\(659\) 10.4342 22.8477i 0.406459 0.890021i −0.590115 0.807319i \(-0.700918\pi\)
0.996574 0.0827023i \(-0.0263551\pi\)
\(660\) 11.4356 + 2.55009i 0.445131 + 0.0992620i
\(661\) −2.43097 + 0.713797i −0.0945538 + 0.0277635i −0.328667 0.944446i \(-0.606599\pi\)
0.234113 + 0.972209i \(0.424781\pi\)
\(662\) 10.6612 9.23796i 0.414358 0.359044i
\(663\) −2.72969 + 9.29647i −0.106012 + 0.361045i
\(664\) 6.74143 + 14.7617i 0.261618 + 0.572864i
\(665\) 1.26234 + 5.95190i 0.0489516 + 0.230805i
\(666\) 5.75373 0.222953
\(667\) 14.0990 + 38.6323i 0.545916 + 1.49585i
\(668\) 9.25099i 0.357932i
\(669\) −1.10511 + 7.68620i −0.0427260 + 0.297166i
\(670\) −5.53201 + 5.47471i −0.213720 + 0.211506i
\(671\) −69.1665 20.3091i −2.67014 0.784025i
\(672\) −0.528418 + 0.457877i −0.0203842 + 0.0176630i
\(673\) 7.08131 + 24.1167i 0.272965 + 0.929632i 0.975871 + 0.218349i \(0.0700672\pi\)
−0.702906 + 0.711283i \(0.748115\pi\)
\(674\) 15.0771 + 9.68943i 0.580746 + 0.373223i
\(675\) 4.81187 1.35864i 0.185209 0.0522940i
\(676\) 0.185459 0.214031i 0.00713303 0.00823196i
\(677\) 11.8284 + 18.4054i 0.454603 + 0.707376i 0.990592 0.136849i \(-0.0436975\pi\)
−0.535989 + 0.844225i \(0.680061\pi\)
\(678\) −8.26542 + 1.18839i −0.317432 + 0.0456398i
\(679\) −0.726605 5.05365i −0.0278846 0.193941i
\(680\) 4.84456 + 3.66610i 0.185780 + 0.140588i
\(681\) 0.0497026 0.0573598i 0.00190461 0.00219803i
\(682\) −30.5260 13.9408i −1.16890 0.533819i
\(683\) 25.8187 40.1747i 0.987926 1.53724i 0.152014 0.988378i \(-0.451424\pi\)
0.835912 0.548864i \(-0.184939\pi\)
\(684\) −3.73394 + 1.09638i −0.142771 + 0.0419213i
\(685\) 9.94773 + 5.49929i 0.380083 + 0.210117i
\(686\) 9.06427 + 2.66151i 0.346075 + 0.101617i
\(687\) 13.3396 6.09200i 0.508938 0.232424i
\(688\) 4.75024 + 0.682982i 0.181101 + 0.0260384i
\(689\) −6.95248 −0.264868
\(690\) −10.5951 1.65629i −0.403350 0.0630537i
\(691\) 23.0171 0.875612 0.437806 0.899069i \(-0.355756\pi\)
0.437806 + 0.899069i \(0.355756\pi\)
\(692\) −2.41967 0.347896i −0.0919821 0.0132250i
\(693\) −3.33256 + 1.52193i −0.126594 + 0.0578133i
\(694\) 6.39079 + 1.87650i 0.242591 + 0.0712311i
\(695\) −7.86559 + 14.2282i −0.298359 + 0.539705i
\(696\) −8.22773 + 2.41588i −0.311871 + 0.0915736i
\(697\) 2.95024 4.59066i 0.111748 0.173884i
\(698\) −14.5858 6.66113i −0.552082 0.252127i
\(699\) −11.2692 + 13.0054i −0.426242 + 0.491909i
\(700\) −3.34394 1.01980i −0.126389 0.0385449i
\(701\) 1.18616 + 8.24992i 0.0448006 + 0.311595i 0.999884 + 0.0152567i \(0.00485655\pi\)
−0.955083 + 0.296338i \(0.904234\pi\)
\(702\) 3.52976 0.507504i 0.133222 0.0191545i
\(703\) −12.1056 18.8366i −0.456569 0.710436i
\(704\) 3.43133 3.95996i 0.129323 0.149247i
\(705\) −12.2011 0.936501i −0.459518 0.0352707i
\(706\) −6.19823 3.98336i −0.233273 0.149916i
\(707\) 2.25393 + 7.67619i 0.0847679 + 0.288693i
\(708\) 8.24690 7.14598i 0.309937 0.268562i
\(709\) 8.07302 + 2.37045i 0.303189 + 0.0890242i 0.429788 0.902930i \(-0.358588\pi\)
−0.126600 + 0.991954i \(0.540406\pi\)
\(710\) 0.530429 + 0.535981i 0.0199067 + 0.0201150i
\(711\) −0.673721 + 4.68583i −0.0252665 + 0.175732i
\(712\) 9.04677i 0.339042i
\(713\) 28.7021 + 10.9369i 1.07490 + 0.409592i
\(714\) −1.89971 −0.0710948
\(715\) 8.66870 + 40.8726i 0.324191 + 1.52855i
\(716\) 5.46549 + 11.9678i 0.204255 + 0.447256i
\(717\) −1.14812 + 3.91015i −0.0428774 + 0.146027i
\(718\) 19.0396 16.4979i 0.710550 0.615695i
\(719\) −3.52071 + 1.03377i −0.131300 + 0.0385533i −0.346723 0.937968i \(-0.612705\pi\)
0.215422 + 0.976521i \(0.430887\pi\)
\(720\) 0.486678 2.18246i 0.0181374 0.0813356i
\(721\) −0.194454 + 0.425795i −0.00724184 + 0.0158574i
\(722\) −2.91387 2.52488i −0.108443 0.0939665i
\(723\) 12.9580 + 20.1630i 0.481913 + 0.749871i
\(724\) 1.26878 + 8.82453i 0.0471537 + 0.327961i
\(725\) −32.1090 28.4132i −1.19250 1.05524i
\(726\) 13.8431 8.89640i 0.513765 0.330176i
\(727\) −9.73748 8.43757i −0.361143 0.312932i 0.455322 0.890327i \(-0.349524\pi\)
−0.816465 + 0.577394i \(0.804069\pi\)
\(728\) −2.26806 1.03579i −0.0840598 0.0383888i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 17.2623 + 23.3118i 0.638908 + 0.862807i
\(731\) 8.53876 + 9.85426i 0.315818 + 0.364473i
\(732\) −3.87595 + 13.2003i −0.143259 + 0.487896i
\(733\) −4.85548 + 2.21742i −0.179341 + 0.0819023i −0.503062 0.864250i \(-0.667793\pi\)
0.323721 + 0.946153i \(0.395066\pi\)
\(734\) −3.54701 + 24.6700i −0.130922 + 0.910585i
\(735\) −13.6676 + 5.01688i −0.504139 + 0.185050i
\(736\) −2.90109 + 3.81886i −0.106935 + 0.140765i
\(737\) 18.2380i 0.671804i
\(738\) −1.98801 0.285832i −0.0731796 0.0105216i
\(739\) −12.1432 26.5898i −0.446693 0.978122i −0.990321 0.138795i \(-0.955677\pi\)
0.543628 0.839326i \(-0.317050\pi\)
\(740\) 12.8376 0.851014i 0.471918 0.0312839i
\(741\) −9.08791 10.4880i −0.333853 0.385286i
\(742\) −0.384050 1.30795i −0.0140989 0.0480165i
\(743\) −14.5834 + 22.6923i −0.535015 + 0.832499i −0.998564 0.0535721i \(-0.982939\pi\)
0.463549 + 0.886071i \(0.346576\pi\)
\(744\) −2.66056 + 5.82581i −0.0975409 + 0.213585i
\(745\) 47.9839 + 18.1822i 1.75800 + 0.666144i
\(746\) 9.50901 6.11107i 0.348150 0.223742i
\(747\) 16.0630 2.30951i 0.587714 0.0845006i
\(748\) 14.0915 2.02605i 0.515236 0.0740798i
\(749\) −10.3680 + 6.66313i −0.378840 + 0.243466i
\(750\) 10.5352 3.74306i 0.384689 0.136677i
\(751\) −0.511459 + 1.11994i −0.0186634 + 0.0408672i −0.918734 0.394877i \(-0.870787\pi\)
0.900071 + 0.435744i \(0.143515\pi\)
\(752\) −2.95867 + 4.60378i −0.107892 + 0.167883i
\(753\) −0.470313 1.60174i −0.0171392 0.0583706i
\(754\) −20.0252 23.1103i −0.729273 0.841626i
\(755\) 1.55815 + 23.5047i 0.0567068 + 0.855423i
\(756\) 0.290457 + 0.636012i 0.0105638 + 0.0231315i
\(757\) 4.19318 + 0.602888i 0.152404 + 0.0219123i 0.218094 0.975928i \(-0.430016\pi\)
−0.0656907 + 0.997840i \(0.520925\pi\)
\(758\) 23.2356i 0.843954i
\(759\) −20.2228 + 14.9168i −0.734040 + 0.541446i
\(760\) −8.16890 + 2.99850i −0.296317 + 0.108767i
\(761\) 5.56522 38.7069i 0.201739 1.40313i −0.597383 0.801956i \(-0.703793\pi\)
0.799122 0.601169i \(-0.205298\pi\)
\(762\) 9.31159 4.25246i 0.337323 0.154050i
\(763\) 3.81248 12.9841i 0.138021 0.470056i
\(764\) 8.77164 + 10.1230i 0.317347 + 0.366238i
\(765\) 4.88247 3.61546i 0.176526 0.130717i
\(766\) −30.3928 19.5322i −1.09813 0.705728i
\(767\) 35.3971 + 16.1653i 1.27811 + 0.583695i
\(768\) −0.755750 0.654861i −0.0272708 0.0236303i
\(769\) −11.2721 + 7.24413i −0.406482 + 0.261230i −0.727867 0.685719i \(-0.759488\pi\)
0.321385 + 0.946949i \(0.395852\pi\)
\(770\) −7.21041 + 3.88859i −0.259845 + 0.140135i
\(771\) 1.23837 + 8.61303i 0.0445987 + 0.310191i
\(772\) −10.4908 16.3240i −0.377571 0.587512i
\(773\) −36.8187 31.9036i −1.32428 1.14749i −0.977824 &minus