Properties

Label 690.2.r.b.49.11
Level $690$
Weight $2$
Character 690.49
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 49.11
Character \(\chi\) \(=\) 690.49
Dual form 690.2.r.b.169.11

$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{8}{11}\right)\)

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 0.905315 0.424741i \(-0.139635\pi\)
−0.762439 + 0.647060i \(0.775998\pi\)
\(8\) 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 0.494542 + 0.869154i \(0.335336\pi\)
−0.719378 + 0.694619i \(0.755573\pi\)
\(12\) −0.989821 0.142315i −0.285737 0.0410828i
\(13\) −1.92796 + 2.99996i −0.534719 + 0.832040i −0.998547 0.0538857i \(-0.982839\pi\)
0.463828 + 0.885925i \(0.346476\pi\)
\(14\) 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 −0.813090 0.582138i \(-0.802217\pi\)
0.998742 0.0501355i \(-0.0159653\pi\)
\(18\) 0.755750 + 0.654861i 0.178132 + 0.154352i
\(19\) −3.73394 + 1.09638i −0.856625 + 0.251528i −0.680417 0.732825i \(-0.738201\pi\)
−0.176208 + 0.984353i \(0.556383\pi\)
\(20\) 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 0.934392 0.356247i \(-0.115944\pi\)
0.593459 + 0.804864i \(0.297762\pi\)
\(30\) −0.486678 2.18246i −0.0888549 0.398461i
\(31\) 2.66056 + 5.82581i 0.477851 + 1.04635i 0.983049 + 0.183344i \(0.0586922\pi\)
−0.505198 + 0.863003i \(0.668581\pi\)
\(32\) 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 −0.219555 0.975600i \(-0.570460\pi\)
0.934424 + 0.356162i \(0.115915\pi\)
\(38\) −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 −0.849101 0.528230i \(-0.822856\pi\)
0.643693 + 0.765284i \(0.277401\pi\)
\(42\) −0.196987 0.670875i −0.0303957 0.103518i
\(43\) 4.36540 + 1.99361i 0.665718 + 0.304023i 0.719462 0.694532i \(-0.244388\pi\)
−0.0537443 + 0.998555i \(0.517116\pi\)
\(44\) 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 \(-0.869314\pi\)
0.916896 0.399125i \(-0.130686\pi\)
\(48\) −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 0.906070 0.423128i \(-0.139068\pi\)
−0.761286 + 0.648417i \(0.775431\pi\)
\(54\) −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 −0.217020 0.976167i \(-0.569634\pi\)
−0.978106 + 0.208107i \(0.933270\pi\)
\(60\) −0.792321 2.09099i −0.102288 0.269945i
\(61\) 5.71509 + 12.5143i 0.731742 + 1.60229i 0.796679 + 0.604403i \(0.206588\pi\)
−0.0649364 + 0.997889i \(0.520684\pi\)
\(62\) 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 −0.349513 0.936932i \(-0.613653\pi\)
−0.0713911 + 0.997448i \(0.522744\pi\)
\(68\) 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 0.986775 0.162094i \(-0.0518247\pi\)
−0.992471 + 0.122479i \(0.960916\pi\)
\(72\) 0.909632 + 0.415415i 0.107201 + 0.0489571i
\(73\) −3.65477 12.4470i −0.427759 1.45681i −0.838420 0.545024i \(-0.816521\pi\)
0.410662 0.911788i \(-0.365298\pi\)
\(74\) 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 0.297083 0.954852i \(-0.403986\pi\)
−0.745151 + 0.666896i \(0.767622\pi\)
\(80\) 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 0.375323 0.926894i \(-0.377532\pi\)
0.970874 0.239592i \(-0.0770137\pi\)
\(84\) −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 −0.599069 0.800697i \(-0.704463\pi\)
0.997433 0.0715990i \(-0.0228102\pi\)
\(90\) −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 0.888364 0.459139i \(-0.151842\pi\)
−0.328038 + 0.944664i \(0.606387\pi\)
\(98\) 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 0.248554 0.968618i \(-0.420045\pi\)
−0.994132 + 0.108176i \(0.965499\pi\)
\(102\) −1.46891 + 2.28567i −0.145444 + 0.226315i
\(103\) −0.662661 0.0952763i −0.0652940 0.00938786i 0.109590 0.993977i \(-0.465046\pi\)
−0.174884 + 0.984589i \(0.555955\pi\)
\(104\) −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 −0.992498 0.122265i \(-0.960984\pi\)
−0.557546 + 0.830146i \(0.688257\pi\)
\(108\) −0.540641 0.841254i −0.0520232 0.0809497i
\(109\) 18.5700 + 5.45265i 1.77869 + 0.522269i 0.995087 0.0989994i \(-0.0315642\pi\)
0.783598 + 0.621269i \(0.213382\pi\)
\(110\) −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 0.257895 0.966173i \(-0.416971\pi\)
0.519651 + 0.854379i \(0.326062\pi\)
\(114\) 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 −0.322765 0.946479i \(-0.604612\pi\)
−0.576345 + 0.817206i \(0.695522\pi\)
\(128\) 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 −0.873516 0.486796i \(-0.838165\pi\)
0.0799340 + 0.996800i \(0.474529\pi\)
\(132\) 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 \(-0.930325\pi\)
0.976139 0.217148i \(-0.0696753\pi\)
\(138\) −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 −0.203966 0.978978i \(-0.565383\pi\)
0.471514 0.881859i \(-0.343708\pi\)
\(150\) 3.74445 3.31347i 0.305733 0.270544i
\(151\) −8.86234 5.69548i −0.721207 0.463492i 0.127849 0.991794i \(-0.459193\pi\)
−0.849057 + 0.528302i \(0.822829\pi\)
\(152\) −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 0.988340 + 0.152261i \(0.0486554\pi\)
−0.749126 + 0.662427i \(0.769526\pi\)
\(158\) −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 −0.116729 0.993164i \(-0.537241\pi\)
0.167806 + 0.985820i \(0.446332\pi\)
\(164\) −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 −0.795083 0.606500i \(-0.792573\pi\)
0.996765 0.0803657i \(-0.0256088\pi\)
\(168\) −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 0.0497169 0.998763i \(-0.484168\pi\)
−0.233681 + 0.972313i \(0.575077\pi\)
\(174\) −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 −0.336097 0.941827i \(-0.609107\pi\)
0.980072 + 0.198640i \(0.0636525\pi\)
\(180\) −0.147906 + 2.23117i −0.0110243 + 0.166302i
\(181\) 3.70354 8.10962i 0.275282 0.602783i −0.720609 0.693341i \(-0.756138\pi\)
0.995891 + 0.0905581i \(0.0288651\pi\)
\(182\) −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 −0.0652440 0.997869i \(-0.520783\pi\)
0.880591 + 0.473878i \(0.157146\pi\)
\(192\) −0.909632 + 0.415415i −0.0656470 + 0.0299800i
\(193\) −14.6648 + 12.7071i −1.05560 + 0.914679i −0.996502 0.0835731i \(-0.973367\pi\)
−0.0590945 + 0.998252i \(0.518821\pi\)
\(194\) 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 0.287166 + 0.957881i \(0.407287\pi\)
−0.990612 + 0.136702i \(0.956350\pi\)
\(198\) −3.95996 + 3.43133i −0.281422 + 0.243854i
\(199\) 5.07810 + 11.1195i 0.359977 + 0.788240i 0.999806 + 0.0197220i \(0.00627811\pi\)
−0.639828 + 0.768518i \(0.720995\pi\)
\(200\) −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 0.400883 0.916129i \(-0.368704\pi\)
0.832541 + 0.553964i \(0.186885\pi\)
\(212\) 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 0.952888 0.303322i \(-0.0980958\pi\)
−0.671755 + 0.740773i \(0.734459\pi\)
\(224\) 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 0.413123 0.910675i \(-0.364438\pi\)
−0.417705 + 0.908583i \(0.637165\pi\)
\(228\) 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 0.855875 0.517182i \(-0.173019\pi\)
0.169619 + 0.985510i \(0.445746\pi\)
\(234\) −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 0.835468 0.549538i \(-0.185196\pi\)
−0.662844 + 0.748757i \(0.730651\pi\)
\(240\) −1.34933 1.78306i −0.0870986 0.115096i
\(241\) −3.41098 + 23.7239i −0.219720 + 1.52819i 0.519351 + 0.854561i \(0.326174\pi\)
−0.739071 + 0.673627i \(0.764735\pi\)
\(242\) −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 0.980949 0.194265i \(-0.0622323\pi\)
−0.995945 + 0.0899689i \(0.971323\pi\)
\(252\) 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 0.999942 0.0107565i \(-0.00342396\pi\)
−0.847020 + 0.531561i \(0.821606\pi\)
\(258\) −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 −0.389037 0.921222i \(-0.627192\pi\)
0.999585 0.0288094i \(-0.00917159\pi\)
\(264\) 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 −0.153375 0.988168i \(-0.549014\pi\)
0.835155 + 0.550015i \(0.185378\pi\)
\(270\) 1.33069 1.79702i 0.0809831 0.109363i
\(271\) −1.23019 + 1.41971i −0.0747286 + 0.0862414i −0.791883 0.610673i \(-0.790899\pi\)
0.717154 + 0.696915i \(0.245444\pi\)
\(272\) −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 \(0.151137\pi\)
−0.889380 + 0.457169i \(0.848863\pi\)
\(278\) −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 −0.303397 0.952864i \(-0.598121\pi\)
0.986343 + 0.164702i \(0.0526661\pi\)
\(282\) −1.54179 + 5.25085i −0.0918122 + 0.312684i
\(283\) −10.4488 16.2587i −0.621118 0.966479i −0.999172 0.0406948i \(-0.987043\pi\)
0.378054 0.925784i \(-0.376594\pi\)
\(284\) −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 −0.268394 0.963309i \(-0.586493\pi\)
0.746591 0.665283i \(-0.231689\pi\)
\(294\) −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 0.0818844 0.996642i \(-0.473906\pi\)
0.806835 + 0.590778i \(0.201179\pi\)
\(308\) −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 0.719236 + 0.694766i \(0.244492\pi\)
−0.885840 + 0.463991i \(0.846417\pi\)
\(312\) 1.92796 2.99996i 0.109149 0.169839i
\(313\) −10.1029 + 8.75417i −0.571047 + 0.494815i −0.891850 0.452331i \(-0.850593\pi\)
0.320803 + 0.947146i \(0.396047\pi\)
\(314\) 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 0.587904 0.808931i \(-0.299953\pi\)
−0.717030 + 0.697043i \(0.754499\pi\)
\(318\) −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 0.950525 0.310649i \(-0.100546\pi\)
−0.442760 + 0.896640i \(0.646001\pi\)
\(332\) 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 0.0814681 0.996676i \(-0.474039\pi\)
0.806588 + 0.591114i \(0.201312\pi\)
\(338\) 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 0.0369378 0.999318i \(-0.488240\pi\)
0.316982 + 0.948432i \(0.397331\pi\)
\(348\) −7.80017 3.56222i −0.418133 0.190955i
\(349\) −15.3854 + 4.51755i −0.823559 + 0.241819i −0.666248 0.745730i \(-0.732101\pi\)
−0.157311 + 0.987549i \(0.550283\pi\)
\(350\) −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 −0.585708 0.810522i \(-0.699183\pi\)
0.228995 + 0.973428i \(0.426456\pi\)
\(354\) 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 0.999912 + 0.0132499i \(0.00421770\pi\)
−0.129187 + 0.991620i \(0.541237\pi\)
\(360\) 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 \(-0.774559\pi\)
0.759505 0.650502i \(-0.225441\pi\)
\(368\) −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 0.847352 0.531032i \(-0.178196\pi\)
−0.405036 + 0.914301i \(0.632741\pi\)
\(374\) 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 −0.709319 0.704887i \(-0.750998\pi\)
0.879177 0.476496i \(-0.158093\pi\)
\(380\) −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 −0.679788 + 0.733409i \(0.737928\pi\)
−0.999440 + 0.0334683i \(0.989345\pi\)
\(384\) −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 0.996465 0.0840081i \(-0.0267721\pi\)
−0.979769 + 0.200132i \(0.935863\pi\)
\(390\) 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 −0.300917 0.953650i \(-0.597293\pi\)
0.768730 0.639574i \(-0.220889\pi\)
\(398\) 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 0.398312 0.917250i \(-0.369596\pi\)
−0.668895 + 0.743357i \(0.733233\pi\)
\(402\) 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 −0.981138 0.193309i \(-0.938078\pi\)
0.330972 + 0.943641i \(0.392623\pi\)
\(410\) −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 −0.826677 0.562677i \(-0.809772\pi\)
0.674598 + 0.738185i \(0.264317\pi\)
\(420\) 0.930414 1.25647i 0.0453995 0.0613094i
\(421\) 7.03159 4.51893i 0.342699 0.220239i −0.357958 0.933738i \(-0.616527\pi\)
0.700657 + 0.713499i \(0.252890\pi\)
\(422\) 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 0.569071 0.822288i \(-0.307303\pi\)
0.0341706 + 0.999416i \(0.489121\pi\)
\(432\) −0.755750 0.654861i −0.0363610 0.0315070i
\(433\) −0.235621 0.802452i −0.0113232 0.0385634i 0.953638 0.300957i \(-0.0973062\pi\)
−0.964961 + 0.262394i \(0.915488\pi\)
\(434\) −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 −0.966962 0.254921i \(-0.917951\pi\)
0.855974 0.517020i \(-0.172959\pi\)
\(440\) −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 −0.984186 0.177138i \(-0.943316\pi\)
0.923718 + 0.383073i \(0.125134\pi\)
\(444\) −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 −0.909654 0.415366i \(-0.863653\pi\)
0.989829 0.142262i \(-0.0454376\pi\)
\(450\) −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 0.657996 0.753021i \(-0.271404\pi\)
−0.138199 + 0.990404i \(0.544131\pi\)
\(458\) −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 0.156413 0.987692i \(-0.450007\pi\)
−0.644019 + 0.765009i \(0.722734\pi\)
\(464\) 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 0.988273 0.152694i \(-0.0487950\pi\)
−0.549439 + 0.835534i \(0.685159\pi\)
\(468\) −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 −0.422897 0.906178i \(-0.638987\pi\)
0.134153 + 0.990961i \(0.457169\pi\)
\(480\) −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 −0.710513 0.703684i \(-0.751537\pi\)
0.217281 0.976109i \(-0.430281\pi\)
\(488\) 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 0.957078 + 0.289831i \(0.0935992\pi\)
−0.407713 + 0.913110i \(0.633674\pi\)
\(492\) 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 −0.623485 0.781835i \(-0.714284\pi\)
0.452177 + 0.891928i \(0.350647\pi\)
\(500\) −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 0.561158 0.827709i \(-0.310356\pi\)
−0.258060 + 0.966129i \(0.583083\pi\)
\(504\) 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 0.361846 0.932238i \(-0.382147\pi\)
0.467580 0.883951i \(-0.345126\pi\)
\(510\) −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 0.997935 + 0.0642254i \(0.0204577\pi\)
−0.604970 + 0.796248i \(0.706815\pi\)
\(522\) 4.63604 + 7.21381i 0.202914 + 0.315740i
\(523\) −10.1525 + 34.5763i −0.443938 + 1.51191i 0.368924 + 0.929459i \(0.379726\pi\)
−0.812863 + 0.582455i \(0.802092\pi\)
\(524\) −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 −0.999633 0.0270881i \(-0.991377\pi\)
0.966772 + 0.255638i \(0.0822856\pi\)
\(542\) −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 0.277743 0.960656i \(-0.410414\pi\)
−0.911351 + 0.411631i \(0.864959\pi\)
\(548\) −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 0.525484 0.850804i \(-0.323884\pi\)
−0.767360 + 0.641217i \(0.778430\pi\)
\(558\) −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 0.329398 0.944191i \(-0.393154\pi\)
0.0500452 + 0.998747i \(0.484063\pi\)
\(564\) −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 0.253052 0.967453i \(-0.418566\pi\)
−0.310164 + 0.950683i \(0.600384\pi\)
\(570\) 4.21005 + 7.61561i 0.176340 + 0.318983i
\(571\) −34.9130 + 10.2514i −1.46106 + 0.429007i −0.913183 0.407550i \(-0.866383\pi\)
−0.547880 + 0.836557i \(0.684565\pi\)
\(572\) −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 −0.874137 0.485679i \(-0.838572\pi\)
−0.701897 + 0.712278i \(0.747663\pi\)
\(578\) 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 0.616401 0.787432i \(-0.288590\pi\)
0.369587 + 0.929196i \(0.379499\pi\)
\(588\) −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 0.373958 0.927446i \(-0.378000\pi\)
−0.864786 + 0.502141i \(0.832546\pi\)
\(594\) 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 −0.00112508 0.999999i \(-0.500358\pi\)
0.756486 0.654010i \(-0.226915\pi\)
\(602\) 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 −0.946285 0.323334i \(-0.895196\pi\)
0.185373 + 0.982668i \(0.440651\pi\)
\(608\) −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 −0.748381 0.663269i \(-0.769168\pi\)
0.0111803 + 0.999937i \(0.496441\pi\)
\(614\) 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 −0.637938 0.770088i \(-0.720212\pi\)
0.120326 0.992734i \(-0.461606\pi\)
\(618\) 0.608977 + 0.278110i 0.0244966 + 0.0111872i
\(619\) −3.39385 23.6047i −0.136410 0.948755i −0.936947 0.349471i \(-0.886361\pi\)
0.800537 0.599284i \(-0.204548\pi\)
\(620\) −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 0.595983 0.802997i \(-0.296762\pi\)
−0.482851 + 0.875702i \(0.660399\pi\)
\(632\) −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 −0.761636 0.648005i \(-0.775604\pi\)
0.988495 + 0.151253i \(0.0483308\pi\)
\(642\) 17.4472 2.50854i 0.688588 0.0990040i
\(643\) 24.0953i 0.950224i 0.879925 + 0.475112i \(0.157592\pi\)
−0.879925 + 0.475112i \(0.842408\pi\)
\(644\) 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 −0.649603 0.760274i \(-0.725065\pi\)
−0.999976 + 0.00693652i \(0.997792\pi\)
\(648\) 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 −0.806712 0.590945i \(-0.798755\pi\)
0.470123 + 0.882601i \(0.344210\pi\)
\(654\) −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 0.996574 + 0.0827023i \(0.0263551\pi\)
−0.590115 + 0.807319i \(0.700918\pi\)
\(660\) 11.4356 2.55009i 0.445131 0.0992620i
\(661\) −2.43097 0.713797i −0.0945538 0.0277635i 0.234113 0.972209i \(-0.424781\pi\)
−0.328667 + 0.944446i \(0.606599\pi\)
\(662\) 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 −0.702906 0.711283i \(-0.748115\pi\)
0.975871 0.218349i \(-0.0700672\pi\)
\(674\) 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 −0.535989 0.844225i \(-0.680061\pi\)
0.990592 + 0.136849i \(0.0436975\pi\)
\(678\) −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 0.835912 + 0.548864i \(0.184939\pi\)
0.152014 + 0.988378i \(0.451424\pi\)
\(684\) −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 −0.955083 0.296338i \(-0.904234\pi\)
0.999884 0.0152567i \(-0.00485655\pi\)
\(702\) 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 −0.126600 0.991954i \(-0.540406\pi\)
0.429788 + 0.902930i \(0.358588\pi\)
\(710\) 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 0.215422 0.976521i \(-0.430887\pi\)
−0.346723 + 0.937968i \(0.612705\pi\)
\(720\) 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 −0.816465 0.577394i \(-0.804069\pi\)
0.455322 + 0.890327i \(0.349524\pi\)
\(728\) −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 0.323721 0.946153i \(-0.395066\pi\)
−0.503062 + 0.864250i \(0.667793\pi\)
\(734\) −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 0.543628 + 0.839326i \(0.317050\pi\)
−0.990321 + 0.138795i \(0.955677\pi\)
\(740\) 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 0.463549 0.886071i \(-0.346576\pi\)
−0.998564 + 0.0535721i \(0.982939\pi\)
\(744\) −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 0.900071 0.435744i \(-0.143515\pi\)
−0.918734 + 0.394877i \(0.870787\pi\)
\(752\) −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 −0.0656907 0.997840i \(-0.520925\pi\)
0.218094 + 0.975928i \(0.430016\pi\)
\(758\) 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 0.799122 + 0.601169i \(0.205298\pi\)
−0.597383 + 0.801956i \(0.703793\pi\)
\(762\) 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 0.321385 0.946949i \(-0.395852\pi\)
−0.727867 + 0.685719i \(0.759488\pi\)
\(770\) −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 −0.346454