Properties

Label 230.2.j.a.119.2
Level $230$
Weight $2$
Character 230.119
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
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 119.2
Character \(\chi\) \(=\) 230.119
Dual form 230.2.j.a.29.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.909632 + 0.415415i) q^{2} +(-0.642787 - 2.18913i) q^{3} +(0.654861 - 0.755750i) q^{4} +(-1.99872 + 1.00255i) q^{5} +(1.49410 + 1.72428i) q^{6} +(-2.70319 + 0.388660i) q^{7} +(-0.281733 + 0.959493i) q^{8} +(-1.85536 + 1.19237i) q^{9} +O(q^{10})\) \(q+(-0.909632 + 0.415415i) q^{2} +(-0.642787 - 2.18913i) q^{3} +(0.654861 - 0.755750i) q^{4} +(-1.99872 + 1.00255i) q^{5} +(1.49410 + 1.72428i) q^{6} +(-2.70319 + 0.388660i) q^{7} +(-0.281733 + 0.959493i) q^{8} +(-1.85536 + 1.19237i) q^{9} +(1.40163 - 1.74225i) q^{10} +(-1.73828 + 3.80631i) q^{11} +(-2.07537 - 0.947790i) q^{12} +(4.03372 + 0.579962i) q^{13} +(2.29745 - 1.47648i) q^{14} +(3.47947 + 3.73104i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-1.45107 + 1.25736i) q^{17} +(1.19237 - 1.85536i) q^{18} +(-3.27267 + 3.77686i) q^{19} +(-0.551205 + 2.16707i) q^{20} +(2.58840 + 5.66781i) q^{21} -4.18445i q^{22} +(-4.14065 + 2.41971i) q^{23} +2.28155 q^{24} +(2.98978 - 4.00765i) q^{25} +(-3.91013 + 1.14812i) q^{26} +(-1.36999 - 1.18711i) q^{27} +(-1.47648 + 2.29745i) q^{28} +(-2.14012 - 2.46982i) q^{29} +(-4.71497 - 1.94844i) q^{30} +(-6.90452 - 2.02735i) q^{31} +(0.540641 + 0.841254i) q^{32} +(9.44986 + 1.35868i) q^{33} +(0.797613 - 1.74653i) q^{34} +(5.01327 - 3.48691i) q^{35} +(-0.313871 + 2.18302i) q^{36} +(0.263977 + 0.410756i) q^{37} +(1.40796 - 4.79507i) q^{38} +(-1.32321 - 9.20313i) q^{39} +(-0.398838 - 2.20021i) q^{40} +(-2.39886 - 1.54165i) q^{41} +(-4.70898 - 4.08036i) q^{42} +(-1.64150 - 5.59045i) q^{43} +(1.73828 + 3.80631i) q^{44} +(2.51293 - 4.24330i) q^{45} +(2.76128 - 3.92114i) q^{46} +12.6067i q^{47} +(-2.07537 + 0.947790i) q^{48} +(0.439715 - 0.129112i) q^{49} +(-1.05476 + 4.88748i) q^{50} +(3.68525 + 2.36837i) q^{51} +(3.07983 - 2.66869i) q^{52} +(0.0981459 - 0.0141113i) q^{53} +(1.73933 + 0.510714i) q^{54} +(-0.341682 - 9.35048i) q^{55} +(0.388660 - 2.70319i) q^{56} +(10.3717 + 4.73658i) q^{57} +(2.97272 + 1.35760i) q^{58} +(1.36487 - 9.49285i) q^{59} +(5.09830 - 0.186301i) q^{60} +(4.44190 + 1.30426i) q^{61} +(7.12276 - 1.02410i) q^{62} +(4.55196 - 3.94429i) q^{63} +(-0.841254 - 0.540641i) q^{64} +(-8.64373 + 2.88484i) q^{65} +(-9.16031 + 2.68971i) q^{66} +(10.0252 - 4.57837i) q^{67} +1.92004i q^{68} +(7.95862 + 7.50907i) q^{69} +(-3.11171 + 5.25439i) q^{70} +(5.81639 + 12.7361i) q^{71} +(-0.621352 - 2.11613i) q^{72} +(-9.10143 - 7.88643i) q^{73} +(-0.410756 - 0.263977i) q^{74} +(-10.6951 - 3.96895i) q^{75} +(0.711219 + 4.94664i) q^{76} +(3.21955 - 10.9648i) q^{77} +(5.02676 + 7.82178i) q^{78} +(0.565232 - 3.93127i) q^{79} +(1.27680 + 1.83570i) q^{80} +(-4.46667 + 9.78065i) q^{81} +(2.82251 + 0.405815i) q^{82} +(-5.85268 - 9.10695i) q^{83} +(5.97848 + 1.75544i) q^{84} +(1.63971 - 3.96788i) q^{85} +(3.81552 + 4.40334i) q^{86} +(-4.03113 + 6.27256i) q^{87} +(-3.16240 - 2.74023i) q^{88} +(-4.46925 + 1.31229i) q^{89} +(-0.523114 + 4.90376i) q^{90} -11.1293 q^{91} +(-0.882852 + 4.71387i) q^{92} +16.4181i q^{93} +(-5.23703 - 11.4675i) q^{94} +(2.75465 - 10.8299i) q^{95} +(1.49410 - 1.72428i) q^{96} +(-4.30573 + 6.69985i) q^{97} +(-0.346344 + 0.300109i) q^{98} +(-1.31338 - 9.13474i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.909632 + 0.415415i −0.643207 + 0.293743i
\(3\) −0.642787 2.18913i −0.371113 1.26390i −0.907546 0.419952i \(-0.862047\pi\)
0.536433 0.843943i \(-0.319771\pi\)
\(4\) 0.654861 0.755750i 0.327430 0.377875i
\(5\) −1.99872 + 1.00255i −0.893855 + 0.448355i
\(6\) 1.49410 + 1.72428i 0.609963 + 0.703934i
\(7\) −2.70319 + 0.388660i −1.02171 + 0.146900i −0.632750 0.774356i \(-0.718074\pi\)
−0.388958 + 0.921255i \(0.627165\pi\)
\(8\) −0.281733 + 0.959493i −0.0996075 + 0.339232i
\(9\) −1.85536 + 1.19237i −0.618453 + 0.397456i
\(10\) 1.40163 1.74225i 0.443233 0.550949i
\(11\) −1.73828 + 3.80631i −0.524112 + 1.14765i 0.443747 + 0.896152i \(0.353649\pi\)
−0.967859 + 0.251493i \(0.919078\pi\)
\(12\) −2.07537 0.947790i −0.599108 0.273603i
\(13\) 4.03372 + 0.579962i 1.11875 + 0.160852i 0.676787 0.736179i \(-0.263372\pi\)
0.441966 + 0.897032i \(0.354281\pi\)
\(14\) 2.29745 1.47648i 0.614020 0.394606i
\(15\) 3.47947 + 3.73104i 0.898396 + 0.963349i
\(16\) −0.142315 0.989821i −0.0355787 0.247455i
\(17\) −1.45107 + 1.25736i −0.351936 + 0.304954i −0.812830 0.582501i \(-0.802074\pi\)
0.460894 + 0.887455i \(0.347529\pi\)
\(18\) 1.19237 1.85536i 0.281043 0.437312i
\(19\) −3.27267 + 3.77686i −0.750802 + 0.866471i −0.994646 0.103343i \(-0.967046\pi\)
0.243844 + 0.969814i \(0.421591\pi\)
\(20\) −0.551205 + 2.16707i −0.123253 + 0.484571i
\(21\) 2.58840 + 5.66781i 0.564835 + 1.23682i
\(22\) 4.18445i 0.892128i
\(23\) −4.14065 + 2.41971i −0.863385 + 0.504545i
\(24\) 2.28155 0.465719
\(25\) 2.98978 4.00765i 0.597955 0.801530i
\(26\) −3.91013 + 1.14812i −0.766839 + 0.225164i
\(27\) −1.36999 1.18711i −0.263656 0.228459i
\(28\) −1.47648 + 2.29745i −0.279029 + 0.434177i
\(29\) −2.14012 2.46982i −0.397409 0.458635i 0.521414 0.853304i \(-0.325405\pi\)
−0.918823 + 0.394669i \(0.870859\pi\)
\(30\) −4.71497 1.94844i −0.860831 0.355736i
\(31\) −6.90452 2.02735i −1.24009 0.364123i −0.405040 0.914299i \(-0.632742\pi\)
−0.835049 + 0.550176i \(0.814561\pi\)
\(32\) 0.540641 + 0.841254i 0.0955727 + 0.148714i
\(33\) 9.44986 + 1.35868i 1.64501 + 0.236517i
\(34\) 0.797613 1.74653i 0.136790 0.299527i
\(35\) 5.01327 3.48691i 0.847397 0.589396i
\(36\) −0.313871 + 2.18302i −0.0523118 + 0.363837i
\(37\) 0.263977 + 0.410756i 0.0433975 + 0.0675279i 0.862274 0.506441i \(-0.169039\pi\)
−0.818877 + 0.573969i \(0.805403\pi\)
\(38\) 1.40796 4.79507i 0.228401 0.777863i
\(39\) −1.32321 9.20313i −0.211883 1.47368i
\(40\) −0.398838 2.20021i −0.0630618 0.347884i
\(41\) −2.39886 1.54165i −0.374639 0.240766i 0.339748 0.940516i \(-0.389658\pi\)
−0.714387 + 0.699751i \(0.753294\pi\)
\(42\) −4.70898 4.08036i −0.726612 0.629613i
\(43\) −1.64150 5.59045i −0.250327 0.852535i −0.984770 0.173864i \(-0.944375\pi\)
0.734443 0.678671i \(-0.237444\pi\)
\(44\) 1.73828 + 3.80631i 0.262056 + 0.573823i
\(45\) 2.51293 4.24330i 0.374606 0.632554i
\(46\) 2.76128 3.92114i 0.407129 0.578140i
\(47\) 12.6067i 1.83888i 0.393229 + 0.919440i \(0.371358\pi\)
−0.393229 + 0.919440i \(0.628642\pi\)
\(48\) −2.07537 + 0.947790i −0.299554 + 0.136802i
\(49\) 0.439715 0.129112i 0.0628164 0.0184446i
\(50\) −1.05476 + 4.88748i −0.149165 + 0.691194i
\(51\) 3.68525 + 2.36837i 0.516038 + 0.331638i
\(52\) 3.07983 2.66869i 0.427096 0.370081i
\(53\) 0.0981459 0.0141113i 0.0134814 0.00193833i −0.135571 0.990768i \(-0.543287\pi\)
0.149052 + 0.988829i \(0.452378\pi\)
\(54\) 1.73933 + 0.510714i 0.236693 + 0.0694994i
\(55\) −0.341682 9.35048i −0.0460725 1.26082i
\(56\) 0.388660 2.70319i 0.0519368 0.361229i
\(57\) 10.3717 + 4.73658i 1.37376 + 0.627376i
\(58\) 2.97272 + 1.35760i 0.390337 + 0.178261i
\(59\) 1.36487 9.49285i 0.177690 1.23586i −0.684399 0.729108i \(-0.739935\pi\)
0.862089 0.506756i \(-0.169156\pi\)
\(60\) 5.09830 0.186301i 0.658187 0.0240513i
\(61\) 4.44190 + 1.30426i 0.568728 + 0.166994i 0.553439 0.832890i \(-0.313315\pi\)
0.0152885 + 0.999883i \(0.495133\pi\)
\(62\) 7.12276 1.02410i 0.904592 0.130061i
\(63\) 4.55196 3.94429i 0.573493 0.496934i
\(64\) −0.841254 0.540641i −0.105157 0.0675801i
\(65\) −8.64373 + 2.88484i −1.07212 + 0.357820i
\(66\) −9.16031 + 2.68971i −1.12756 + 0.331080i
\(67\) 10.0252 4.57837i 1.22478 0.559337i 0.305216 0.952283i \(-0.401271\pi\)
0.919561 + 0.392946i \(0.128544\pi\)
\(68\) 1.92004i 0.232839i
\(69\) 7.95862 + 7.50907i 0.958106 + 0.903985i
\(70\) −3.11171 + 5.25439i −0.371921 + 0.628020i
\(71\) 5.81639 + 12.7361i 0.690278 + 1.51150i 0.851374 + 0.524559i \(0.175770\pi\)
−0.161096 + 0.986939i \(0.551503\pi\)
\(72\) −0.621352 2.11613i −0.0732271 0.249389i
\(73\) −9.10143 7.88643i −1.06524 0.923037i −0.0680318 0.997683i \(-0.521672\pi\)
−0.997210 + 0.0746458i \(0.976217\pi\)
\(74\) −0.410756 0.263977i −0.0477494 0.0306867i
\(75\) −10.6951 3.96895i −1.23496 0.458294i
\(76\) 0.711219 + 4.94664i 0.0815824 + 0.567418i
\(77\) 3.21955 10.9648i 0.366901 1.24955i
\(78\) 5.02676 + 7.82178i 0.569168 + 0.885643i
\(79\) 0.565232 3.93127i 0.0635936 0.442303i −0.933003 0.359869i \(-0.882821\pi\)
0.996597 0.0824342i \(-0.0262694\pi\)
\(80\) 1.27680 + 1.83570i 0.142750 + 0.205237i
\(81\) −4.46667 + 9.78065i −0.496297 + 1.08674i
\(82\) 2.82251 + 0.405815i 0.311694 + 0.0448148i
\(83\) −5.85268 9.10695i −0.642415 0.999618i −0.997890 0.0649316i \(-0.979317\pi\)
0.355474 0.934686i \(-0.384319\pi\)
\(84\) 5.97848 + 1.75544i 0.652306 + 0.191534i
\(85\) 1.63971 3.96788i 0.177852 0.430377i
\(86\) 3.81552 + 4.40334i 0.411438 + 0.474825i
\(87\) −4.03113 + 6.27256i −0.432183 + 0.672489i
\(88\) −3.16240 2.74023i −0.337113 0.292110i
\(89\) −4.46925 + 1.31229i −0.473740 + 0.139103i −0.509883 0.860244i \(-0.670311\pi\)
0.0361426 + 0.999347i \(0.488493\pi\)
\(90\) −0.523114 + 4.90376i −0.0551410 + 0.516901i
\(91\) −11.1293 −1.16667
\(92\) −0.882852 + 4.71387i −0.0920437 + 0.491455i
\(93\) 16.4181i 1.70247i
\(94\) −5.23703 11.4675i −0.540158 1.18278i
\(95\) 2.75465 10.8299i 0.282621 1.11113i
\(96\) 1.49410 1.72428i 0.152491 0.175984i
\(97\) −4.30573 + 6.69985i −0.437181 + 0.680267i −0.988017 0.154347i \(-0.950673\pi\)
0.550836 + 0.834614i \(0.314309\pi\)
\(98\) −0.346344 + 0.300109i −0.0349860 + 0.0303156i
\(99\) −1.31338 9.13474i −0.131999 0.918076i
\(100\) −1.07089 4.88397i −0.107089 0.488397i
\(101\) 3.23282 2.07760i 0.321677 0.206729i −0.369829 0.929100i \(-0.620584\pi\)
0.691506 + 0.722370i \(0.256947\pi\)
\(102\) −4.33608 0.623434i −0.429336 0.0617292i
\(103\) −6.47664 2.95778i −0.638162 0.291439i 0.0699376 0.997551i \(-0.477720\pi\)
−0.708100 + 0.706113i \(0.750447\pi\)
\(104\) −1.69290 + 3.70693i −0.166002 + 0.363495i
\(105\) −10.8558 8.73336i −1.05941 0.852288i
\(106\) −0.0834146 + 0.0536073i −0.00810195 + 0.00520680i
\(107\) −2.46413 + 8.39207i −0.238217 + 0.811292i 0.750419 + 0.660962i \(0.229852\pi\)
−0.988636 + 0.150330i \(0.951966\pi\)
\(108\) −1.79431 + 0.257983i −0.172658 + 0.0248244i
\(109\) 12.4388 + 14.3552i 1.19142 + 1.37497i 0.909588 + 0.415511i \(0.136397\pi\)
0.281834 + 0.959463i \(0.409057\pi\)
\(110\) 4.19513 + 8.36355i 0.399990 + 0.797433i
\(111\) 0.729518 0.841908i 0.0692428 0.0799104i
\(112\) 0.769407 + 2.62036i 0.0727022 + 0.247601i
\(113\) −12.0436 + 5.50011i −1.13296 + 0.517407i −0.891508 0.453005i \(-0.850352\pi\)
−0.241455 + 0.970412i \(0.577625\pi\)
\(114\) −11.4021 −1.06790
\(115\) 5.85012 8.98755i 0.545526 0.838094i
\(116\) −3.26805 −0.303431
\(117\) −8.17553 + 3.73364i −0.755828 + 0.345175i
\(118\) 2.70195 + 9.20199i 0.248734 + 0.847112i
\(119\) 3.43383 3.96285i 0.314778 0.363274i
\(120\) −4.56018 + 2.28737i −0.416286 + 0.208808i
\(121\) −4.26290 4.91965i −0.387536 0.447241i
\(122\) −4.58231 + 0.658836i −0.414863 + 0.0596483i
\(123\) −1.83293 + 6.24237i −0.165269 + 0.562856i
\(124\) −6.05367 + 3.89046i −0.543635 + 0.349373i
\(125\) −1.95785 + 11.0076i −0.175115 + 0.984548i
\(126\) −2.50209 + 5.47881i −0.222904 + 0.488091i
\(127\) 9.65748 + 4.41043i 0.856963 + 0.391362i 0.794922 0.606712i \(-0.207512\pi\)
0.0620412 + 0.998074i \(0.480239\pi\)
\(128\) 0.989821 + 0.142315i 0.0874887 + 0.0125790i
\(129\) −11.1831 + 7.18693i −0.984615 + 0.632774i
\(130\) 6.66421 6.21487i 0.584490 0.545081i
\(131\) −2.32318 16.1581i −0.202977 1.41174i −0.795388 0.606101i \(-0.792733\pi\)
0.592411 0.805636i \(-0.298176\pi\)
\(132\) 7.21517 6.25198i 0.628000 0.544165i
\(133\) 7.37872 11.4815i 0.639816 0.995574i
\(134\) −7.21735 + 8.32926i −0.623484 + 0.719539i
\(135\) 3.92837 + 0.999204i 0.338101 + 0.0859978i
\(136\) −0.797613 1.74653i −0.0683948 0.149764i
\(137\) 7.30963i 0.624504i −0.949999 0.312252i \(-0.898917\pi\)
0.949999 0.312252i \(-0.101083\pi\)
\(138\) −10.3588 3.52435i −0.881799 0.300013i
\(139\) 1.62898 0.138168 0.0690841 0.997611i \(-0.477992\pi\)
0.0690841 + 0.997611i \(0.477992\pi\)
\(140\) 0.647760 6.07222i 0.0547457 0.513196i
\(141\) 27.5978 8.10344i 2.32415 0.682433i
\(142\) −10.5815 9.16896i −0.887983 0.769442i
\(143\) −9.21926 + 14.3455i −0.770954 + 1.19963i
\(144\) 1.44427 + 1.66678i 0.120356 + 0.138899i
\(145\) 6.75363 + 2.79091i 0.560858 + 0.231773i
\(146\) 11.5551 + 3.39288i 0.956307 + 0.280797i
\(147\) −0.565286 0.879602i −0.0466240 0.0725484i
\(148\) 0.483297 + 0.0694876i 0.0397267 + 0.00571184i
\(149\) 2.06726 4.52667i 0.169357 0.370839i −0.805855 0.592113i \(-0.798294\pi\)
0.975212 + 0.221273i \(0.0710213\pi\)
\(150\) 11.3773 0.832606i 0.928955 0.0679820i
\(151\) −3.13790 + 21.8246i −0.255359 + 1.77606i 0.309529 + 0.950890i \(0.399829\pi\)
−0.564888 + 0.825168i \(0.691080\pi\)
\(152\) −2.70185 4.20417i −0.219149 0.341003i
\(153\) 1.19302 4.06306i 0.0964501 0.328479i
\(154\) 1.62633 + 11.3114i 0.131053 + 0.911495i
\(155\) 15.8327 2.87004i 1.27172 0.230527i
\(156\) −7.82178 5.02676i −0.626244 0.402463i
\(157\) 8.76980 + 7.59907i 0.699906 + 0.606472i 0.930376 0.366608i \(-0.119481\pi\)
−0.230470 + 0.973079i \(0.574026\pi\)
\(158\) 1.11896 + 3.81082i 0.0890195 + 0.303172i
\(159\) −0.0939783 0.205784i −0.00745296 0.0163197i
\(160\) −1.92399 1.13941i −0.152105 0.0900783i
\(161\) 10.2525 8.15024i 0.808011 0.642329i
\(162\) 10.7523i 0.844782i
\(163\) −4.88745 + 2.23203i −0.382815 + 0.174826i −0.597522 0.801853i \(-0.703848\pi\)
0.214707 + 0.976679i \(0.431120\pi\)
\(164\) −2.73602 + 0.803369i −0.213648 + 0.0627326i
\(165\) −20.2498 + 6.75835i −1.57644 + 0.526137i
\(166\) 9.10695 + 5.85268i 0.706836 + 0.454256i
\(167\) 3.47331 3.00964i 0.268773 0.232893i −0.510038 0.860152i \(-0.670369\pi\)
0.778811 + 0.627259i \(0.215823\pi\)
\(168\) −6.16746 + 0.886746i −0.475830 + 0.0684140i
\(169\) 3.46114 + 1.01628i 0.266242 + 0.0781756i
\(170\) 0.156781 + 4.29048i 0.0120246 + 0.329065i
\(171\) 1.56857 10.9097i 0.119952 0.834282i
\(172\) −5.29993 2.42040i −0.404116 0.184554i
\(173\) 15.5774 + 7.11396i 1.18433 + 0.540865i 0.907499 0.420054i \(-0.137989\pi\)
0.276830 + 0.960919i \(0.410716\pi\)
\(174\) 1.06113 7.38032i 0.0804440 0.559500i
\(175\) −6.52431 + 11.9954i −0.493192 + 0.906769i
\(176\) 4.01495 + 1.17890i 0.302638 + 0.0888626i
\(177\) −21.6584 + 3.11401i −1.62795 + 0.234063i
\(178\) 3.52023 3.05030i 0.263852 0.228629i
\(179\) 16.2161 + 10.4215i 1.21205 + 0.778938i 0.981001 0.194004i \(-0.0621476\pi\)
0.231050 + 0.972942i \(0.425784\pi\)
\(180\) −1.56125 4.67792i −0.116369 0.348672i
\(181\) −24.5130 + 7.19767i −1.82204 + 0.534999i −0.999435 0.0336159i \(-0.989298\pi\)
−0.822604 + 0.568615i \(0.807480\pi\)
\(182\) 10.1236 4.62328i 0.750410 0.342701i
\(183\) 10.5623i 0.780786i
\(184\) −1.15514 4.65464i −0.0851582 0.343144i
\(185\) −0.939421 0.556336i −0.0690676 0.0409026i
\(186\) −6.82031 14.9344i −0.500089 1.09504i
\(187\) −2.26353 7.70887i −0.165526 0.563728i
\(188\) 9.52753 + 8.25565i 0.694867 + 0.602105i
\(189\) 4.16473 + 2.67651i 0.302940 + 0.194687i
\(190\) 1.99319 + 10.9956i 0.144601 + 0.797702i
\(191\) −2.17252 15.1102i −0.157198 1.09334i −0.903766 0.428027i \(-0.859209\pi\)
0.746568 0.665309i \(-0.231700\pi\)
\(192\) −0.642787 + 2.18913i −0.0463891 + 0.157987i
\(193\) 5.44537 + 8.47316i 0.391966 + 0.609912i 0.980017 0.198912i \(-0.0637409\pi\)
−0.588051 + 0.808824i \(0.700105\pi\)
\(194\) 1.13341 7.88306i 0.0813743 0.565971i
\(195\) 11.8714 + 17.0679i 0.850126 + 1.22226i
\(196\) 0.190376 0.416865i 0.0135983 0.0297761i
\(197\) −12.8932 1.85376i −0.918602 0.132075i −0.333235 0.942844i \(-0.608140\pi\)
−0.585367 + 0.810769i \(0.699049\pi\)
\(198\) 4.98940 + 7.76366i 0.354581 + 0.551739i
\(199\) 4.52294 + 1.32806i 0.320623 + 0.0941434i 0.438084 0.898934i \(-0.355657\pi\)
−0.117461 + 0.993078i \(0.537475\pi\)
\(200\) 3.00299 + 3.99775i 0.212344 + 0.282684i
\(201\) −16.4667 19.0036i −1.16147 1.34041i
\(202\) −2.07760 + 3.23282i −0.146180 + 0.227460i
\(203\) 6.74505 + 5.84462i 0.473410 + 0.410212i
\(204\) 4.20322 1.23418i 0.294284 0.0864096i
\(205\) 6.34024 + 0.676352i 0.442822 + 0.0472385i
\(206\) 7.12006 0.496078
\(207\) 4.79721 9.42661i 0.333429 0.655195i
\(208\) 4.07520i 0.282564i
\(209\) −8.68708 19.0220i −0.600898 1.31578i
\(210\) 13.5027 + 3.43449i 0.931776 + 0.237003i
\(211\) 11.4754 13.2433i 0.789996 0.911704i −0.207793 0.978173i \(-0.566628\pi\)
0.997788 + 0.0664691i \(0.0211734\pi\)
\(212\) 0.0536073 0.0834146i 0.00368177 0.00572894i
\(213\) 24.1423 20.9194i 1.65420 1.43338i
\(214\) −1.24474 8.65734i −0.0850885 0.591803i
\(215\) 8.88562 + 9.52805i 0.605995 + 0.649808i
\(216\) 1.52499 0.980053i 0.103763 0.0666842i
\(217\) 19.4522 + 2.79680i 1.32050 + 0.189859i
\(218\) −17.2781 7.89064i −1.17022 0.534421i
\(219\) −11.4142 + 24.9935i −0.771297 + 1.68891i
\(220\) −7.29037 5.86503i −0.491517 0.395420i
\(221\) −6.58243 + 4.23027i −0.442782 + 0.284559i
\(222\) −0.313851 + 1.06888i −0.0210643 + 0.0717385i
\(223\) −7.46181 + 1.07285i −0.499680 + 0.0718431i −0.387547 0.921850i \(-0.626677\pi\)
−0.112133 + 0.993693i \(0.535768\pi\)
\(224\) −1.78841 2.06394i −0.119493 0.137903i
\(225\) −0.768520 + 11.0005i −0.0512347 + 0.733369i
\(226\) 8.67038 10.0062i 0.576745 0.665599i
\(227\) −6.41069 21.8328i −0.425492 1.44909i −0.841760 0.539851i \(-0.818480\pi\)
0.416268 0.909242i \(-0.363338\pi\)
\(228\) 10.3717 4.73658i 0.686881 0.313688i
\(229\) −0.0889742 −0.00587958 −0.00293979 0.999996i \(-0.500936\pi\)
−0.00293979 + 0.999996i \(0.500936\pi\)
\(230\) −1.58789 + 10.6056i −0.104702 + 0.699312i
\(231\) −26.0728 −1.71546
\(232\) 2.97272 1.35760i 0.195169 0.0891305i
\(233\) −0.165137 0.562405i −0.0108185 0.0368444i 0.953907 0.300103i \(-0.0970210\pi\)
−0.964725 + 0.263258i \(0.915203\pi\)
\(234\) 5.88571 6.79247i 0.384761 0.444038i
\(235\) −12.6389 25.1973i −0.824472 1.64369i
\(236\) −6.28042 7.24799i −0.408821 0.471804i
\(237\) −8.96940 + 1.28960i −0.582625 + 0.0837688i
\(238\) −1.47729 + 5.03120i −0.0957587 + 0.326124i
\(239\) −1.59063 + 1.02223i −0.102889 + 0.0661229i −0.591074 0.806618i \(-0.701296\pi\)
0.488184 + 0.872741i \(0.337659\pi\)
\(240\) 3.19788 3.97504i 0.206422 0.256588i
\(241\) 11.6118 25.4263i 0.747982 1.63785i −0.0219777 0.999758i \(-0.506996\pi\)
0.769959 0.638093i \(-0.220276\pi\)
\(242\) 5.92136 + 2.70420i 0.380640 + 0.173832i
\(243\) 18.8993 + 2.71731i 1.21239 + 0.174316i
\(244\) 3.89452 2.50286i 0.249321 0.160229i
\(245\) −0.749426 + 0.698897i −0.0478791 + 0.0446509i
\(246\) −0.925887 6.43969i −0.0590324 0.410579i
\(247\) −15.3915 + 13.3368i −0.979335 + 0.848599i
\(248\) 3.89046 6.05367i 0.247044 0.384408i
\(249\) −16.1743 + 18.6661i −1.02500 + 1.18292i
\(250\) −2.79179 10.8262i −0.176568 0.684707i
\(251\) 6.25556 + 13.6978i 0.394847 + 0.864595i 0.997767 + 0.0667929i \(0.0212767\pi\)
−0.602920 + 0.797802i \(0.705996\pi\)
\(252\) 6.02310i 0.379420i
\(253\) −2.01255 19.9667i −0.126528 1.25530i
\(254\) −10.6169 −0.666164
\(255\) −9.74020 1.03905i −0.609955 0.0650677i
\(256\) −0.959493 + 0.281733i −0.0599683 + 0.0176083i
\(257\) 9.75206 + 8.45020i 0.608317 + 0.527109i 0.903643 0.428287i \(-0.140883\pi\)
−0.295326 + 0.955397i \(0.595428\pi\)
\(258\) 7.18693 11.1831i 0.447439 0.696228i
\(259\) −0.873223 1.00775i −0.0542594 0.0626187i
\(260\) −3.48022 + 8.42166i −0.215834 + 0.522289i
\(261\) 6.91562 + 2.03061i 0.428066 + 0.125692i
\(262\) 8.82554 + 13.7328i 0.545244 + 0.848416i
\(263\) −25.9156 3.72610i −1.59802 0.229761i −0.715012 0.699112i \(-0.753579\pi\)
−0.883012 + 0.469350i \(0.844488\pi\)
\(264\) −3.96598 + 8.68429i −0.244089 + 0.534481i
\(265\) −0.182019 + 0.126601i −0.0111813 + 0.00777703i
\(266\) −1.94233 + 13.5092i −0.119092 + 0.828301i
\(267\) 5.74555 + 8.94026i 0.351622 + 0.547135i
\(268\) 3.10503 10.5748i 0.189670 0.645956i
\(269\) −3.54518 24.6573i −0.216153 1.50338i −0.752056 0.659099i \(-0.770938\pi\)
0.535903 0.844280i \(-0.319971\pi\)
\(270\) −3.98846 + 0.722998i −0.242730 + 0.0440002i
\(271\) −1.48286 0.952978i −0.0900775 0.0578893i 0.494827 0.868992i \(-0.335232\pi\)
−0.584904 + 0.811102i \(0.698868\pi\)
\(272\) 1.45107 + 1.25736i 0.0879840 + 0.0762386i
\(273\) 7.15377 + 24.3635i 0.432966 + 1.47455i
\(274\) 3.03653 + 6.64907i 0.183443 + 0.401685i
\(275\) 10.0573 + 18.3464i 0.606476 + 1.10633i
\(276\) 10.8868 1.09733i 0.655306 0.0660518i
\(277\) 5.23153i 0.314332i 0.987572 + 0.157166i \(0.0502358\pi\)
−0.987572 + 0.157166i \(0.949764\pi\)
\(278\) −1.48177 + 0.676702i −0.0888707 + 0.0405859i
\(279\) 15.2277 4.47126i 0.911659 0.267687i
\(280\) 1.93327 + 5.79257i 0.115535 + 0.346172i
\(281\) −1.50805 0.969163i −0.0899626 0.0578154i 0.494886 0.868958i \(-0.335210\pi\)
−0.584849 + 0.811142i \(0.698846\pi\)
\(282\) −21.7375 + 18.8357i −1.29445 + 1.12165i
\(283\) −5.17178 + 0.743590i −0.307431 + 0.0442019i −0.294304 0.955712i \(-0.595088\pi\)
−0.0131271 + 0.999914i \(0.504179\pi\)
\(284\) 13.4342 + 3.94465i 0.797175 + 0.234072i
\(285\) −25.4788 + 0.931038i −1.50923 + 0.0551499i
\(286\) 2.42682 16.8789i 0.143501 0.998071i
\(287\) 7.08375 + 3.23504i 0.418140 + 0.190958i
\(288\) −2.00617 0.916185i −0.118214 0.0539867i
\(289\) −1.89470 + 13.1779i −0.111453 + 0.775173i
\(290\) −7.30270 + 0.266853i −0.428829 + 0.0156702i
\(291\) 17.4345 + 5.11923i 1.02203 + 0.300095i
\(292\) −11.9203 + 1.71389i −0.697585 + 0.100298i
\(293\) 7.43727 6.44443i 0.434490 0.376488i −0.409976 0.912096i \(-0.634463\pi\)
0.844467 + 0.535608i \(0.179918\pi\)
\(294\) 0.879602 + 0.565286i 0.0512995 + 0.0329682i
\(295\) 6.78910 + 20.3419i 0.395277 + 1.18435i
\(296\) −0.468488 + 0.137561i −0.0272303 + 0.00799555i
\(297\) 6.89993 3.15109i 0.400375 0.182845i
\(298\) 4.97637i 0.288274i
\(299\) −18.1056 + 7.35903i −1.04707 + 0.425584i
\(300\) −10.0033 + 5.48368i −0.577541 + 0.316600i
\(301\) 6.61007 + 14.4740i 0.380998 + 0.834269i
\(302\) −6.21192 21.1559i −0.357456 1.21738i
\(303\) −6.62616 5.74160i −0.380663 0.329846i
\(304\) 4.20417 + 2.70185i 0.241126 + 0.154962i
\(305\) −10.1857 + 1.84639i −0.583233 + 0.105724i
\(306\) 0.602645 + 4.19149i 0.0344509 + 0.239611i
\(307\) −6.15667 + 20.9677i −0.351380 + 1.19669i 0.574384 + 0.818586i \(0.305242\pi\)
−0.925763 + 0.378103i \(0.876576\pi\)
\(308\) −6.17827 9.61357i −0.352039 0.547784i
\(309\) −2.31187 + 16.0794i −0.131518 + 0.914727i
\(310\) −13.2097 + 9.18784i −0.750261 + 0.521834i
\(311\) −11.4941 + 25.1686i −0.651772 + 1.42718i 0.238223 + 0.971210i \(0.423435\pi\)
−0.889995 + 0.455971i \(0.849292\pi\)
\(312\) 9.20313 + 1.32321i 0.521025 + 0.0749121i
\(313\) 3.45939 + 5.38292i 0.195536 + 0.304261i 0.925152 0.379597i \(-0.123937\pi\)
−0.729615 + 0.683858i \(0.760301\pi\)
\(314\) −11.1341 3.26925i −0.628331 0.184495i
\(315\) −5.14373 + 12.4471i −0.289816 + 0.701316i
\(316\) −2.60091 3.00161i −0.146313 0.168854i
\(317\) 0.994492 1.54746i 0.0558563 0.0869140i −0.812202 0.583376i \(-0.801731\pi\)
0.868058 + 0.496462i \(0.165368\pi\)
\(318\) 0.170971 + 0.148147i 0.00958759 + 0.00830770i
\(319\) 13.1210 3.85269i 0.734638 0.215709i
\(320\) 2.22345 + 0.237189i 0.124295 + 0.0132593i
\(321\) 19.9553 1.11379
\(322\) −5.94028 + 11.6728i −0.331039 + 0.650498i
\(323\) 9.59541i 0.533903i
\(324\) 4.46667 + 9.78065i 0.248148 + 0.543369i
\(325\) 14.3842 14.4318i 0.797892 0.800531i
\(326\) 3.51857 4.06064i 0.194875 0.224898i
\(327\) 23.4298 36.4575i 1.29567 2.01610i
\(328\) 2.15504 1.86736i 0.118992 0.103107i
\(329\) −4.89973 34.0784i −0.270131 1.87880i
\(330\) 15.6123 14.5597i 0.859431 0.801484i
\(331\) 1.88024 1.20836i 0.103348 0.0664174i −0.487946 0.872874i \(-0.662254\pi\)
0.591294 + 0.806456i \(0.298617\pi\)
\(332\) −10.7153 1.54062i −0.588077 0.0845526i
\(333\) −0.979543 0.447342i −0.0536786 0.0245142i
\(334\) −1.90918 + 4.18053i −0.104466 + 0.228748i
\(335\) −15.4476 + 19.2017i −0.843992 + 1.04910i
\(336\) 5.24175 3.36867i 0.285961 0.183776i
\(337\) 1.06043 3.61149i 0.0577652 0.196730i −0.925555 0.378613i \(-0.876401\pi\)
0.983320 + 0.181883i \(0.0582192\pi\)
\(338\) −3.57054 + 0.513367i −0.194212 + 0.0279235i
\(339\) 19.7819 + 22.8295i 1.07441 + 1.23993i
\(340\) −1.92494 3.83763i −0.104395 0.208124i
\(341\) 19.7187 22.7566i 1.06783 1.23234i
\(342\) 3.10521 + 10.5754i 0.167911 + 0.571851i
\(343\) 16.2509 7.42153i 0.877465 0.400725i
\(344\) 5.82646 0.314142
\(345\) −23.4353 7.02959i −1.26171 0.378460i
\(346\) −17.1250 −0.920643
\(347\) −4.54638 + 2.07626i −0.244063 + 0.111460i −0.533691 0.845679i \(-0.679195\pi\)
0.289629 + 0.957139i \(0.406468\pi\)
\(348\) 2.10066 + 7.15418i 0.112607 + 0.383504i
\(349\) 0.525822 0.606831i 0.0281466 0.0324829i −0.741502 0.670951i \(-0.765886\pi\)
0.769648 + 0.638468i \(0.220432\pi\)
\(350\) 0.951642 13.6217i 0.0508674 0.728112i
\(351\) −4.83770 5.58300i −0.258217 0.297999i
\(352\) −4.14186 + 0.595509i −0.220762 + 0.0317408i
\(353\) −1.60601 + 5.46958i −0.0854794 + 0.291116i −0.991128 0.132914i \(-0.957567\pi\)
0.905648 + 0.424030i \(0.139385\pi\)
\(354\) 18.4076 11.8298i 0.978352 0.628748i
\(355\) −24.3940 19.6247i −1.29470 1.04157i
\(356\) −1.93498 + 4.23700i −0.102553 + 0.224561i
\(357\) −10.8824 4.96983i −0.575958 0.263031i
\(358\) −19.0799 2.74328i −1.00841 0.144987i
\(359\) 6.97537 4.48280i 0.368146 0.236593i −0.343467 0.939165i \(-0.611601\pi\)
0.711613 + 0.702572i \(0.247965\pi\)
\(360\) 3.36344 + 3.60662i 0.177269 + 0.190086i
\(361\) −0.850336 5.91422i −0.0447545 0.311275i
\(362\) 19.3078 16.7303i 1.01480 0.879326i
\(363\) −8.02962 + 12.4943i −0.421446 + 0.655782i
\(364\) −7.28815 + 8.41097i −0.382003 + 0.440855i
\(365\) 26.0978 + 6.63812i 1.36602 + 0.347455i
\(366\) 4.38773 + 9.60778i 0.229350 + 0.502207i
\(367\) 13.2954i 0.694017i 0.937862 + 0.347008i \(0.112802\pi\)
−0.937862 + 0.347008i \(0.887198\pi\)
\(368\) 2.98436 + 3.75414i 0.155571 + 0.195698i
\(369\) 6.28896 0.327390
\(370\) 1.08564 + 0.115812i 0.0564396 + 0.00602076i
\(371\) −0.259822 + 0.0762907i −0.0134893 + 0.00396082i
\(372\) 12.4079 + 10.7515i 0.643322 + 0.557441i
\(373\) −15.9266 + 24.7822i −0.824646 + 1.28317i 0.131803 + 0.991276i \(0.457923\pi\)
−0.956449 + 0.291898i \(0.905713\pi\)
\(374\) 5.26136 + 6.07193i 0.272058 + 0.313972i
\(375\) 25.3555 2.78954i 1.30935 0.144051i
\(376\) −12.0961 3.55173i −0.623807 0.183166i
\(377\) −7.20023 11.2038i −0.370830 0.577023i
\(378\) −4.90024 0.704548i −0.252041 0.0362380i
\(379\) −13.4339 + 29.4161i −0.690052 + 1.51100i 0.161578 + 0.986860i \(0.448342\pi\)
−0.851630 + 0.524143i \(0.824386\pi\)
\(380\) −6.38079 9.17391i −0.327328 0.470612i
\(381\) 3.44729 23.9765i 0.176610 1.22835i
\(382\) 8.25319 + 12.8422i 0.422270 + 0.657065i
\(383\) 6.93205 23.6084i 0.354211 1.20633i −0.569096 0.822271i \(-0.692707\pi\)
0.923307 0.384062i \(-0.125475\pi\)
\(384\) −0.324698 2.25833i −0.0165697 0.115245i
\(385\) 4.55778 + 25.1433i 0.232286 + 1.28142i
\(386\) −8.47316 5.44537i −0.431273 0.277162i
\(387\) 9.71144 + 8.41501i 0.493660 + 0.427759i
\(388\) 2.24375 + 7.64152i 0.113909 + 0.387939i
\(389\) −8.23916 18.0412i −0.417742 0.914728i −0.995159 0.0982781i \(-0.968667\pi\)
0.577417 0.816449i \(-0.304061\pi\)
\(390\) −17.8888 10.5940i −0.905836 0.536447i
\(391\) 2.96592 8.71746i 0.149993 0.440861i
\(392\) 0.458279i 0.0231466i
\(393\) −33.8788 + 15.4719i −1.70896 + 0.780456i
\(394\) 12.4981 3.66979i 0.629647 0.184881i
\(395\) 2.81157 + 8.42420i 0.141465 + 0.423867i
\(396\) −7.76366 4.98940i −0.390138 0.250727i
\(397\) −4.91629 + 4.25999i −0.246741 + 0.213803i −0.769447 0.638711i \(-0.779468\pi\)
0.522706 + 0.852513i \(0.324923\pi\)
\(398\) −4.66591 + 0.670856i −0.233881 + 0.0336270i
\(399\) −29.8775 8.77282i −1.49575 0.439190i
\(400\) −4.39235 2.38900i −0.219617 0.119450i
\(401\) −3.32253 + 23.1087i −0.165919 + 1.15399i 0.721293 + 0.692630i \(0.243548\pi\)
−0.887212 + 0.461362i \(0.847361\pi\)
\(402\) 22.8731 + 10.4458i 1.14080 + 0.520988i
\(403\) −26.6751 12.1821i −1.32878 0.606835i
\(404\) 0.546895 3.80374i 0.0272091 0.189243i
\(405\) −0.877983 24.0269i −0.0436273 1.19390i
\(406\) −8.56346 2.51446i −0.424997 0.124791i
\(407\) −2.02233 + 0.290767i −0.100243 + 0.0144128i
\(408\) −3.31069 + 2.86873i −0.163903 + 0.142023i
\(409\) −23.4902 15.0962i −1.16152 0.746461i −0.189616 0.981858i \(-0.560724\pi\)
−0.971899 + 0.235398i \(0.924361\pi\)
\(410\) −6.04825 + 2.01860i −0.298702 + 0.0996915i
\(411\) −16.0017 + 4.69853i −0.789307 + 0.231762i
\(412\) −6.47664 + 2.95778i −0.319081 + 0.145719i
\(413\) 26.1914i 1.28880i
\(414\) −0.447738 + 10.5676i −0.0220051 + 0.519368i
\(415\) 20.8281 + 12.3346i 1.02241 + 0.605483i
\(416\) 1.69290 + 3.70693i 0.0830012 + 0.181747i
\(417\) −1.04709 3.56605i −0.0512760 0.174630i
\(418\) 15.8041 + 13.6943i 0.773003 + 0.669811i
\(419\) −16.7791 10.7833i −0.819712 0.526797i 0.0622812 0.998059i \(-0.480162\pi\)
−0.881994 + 0.471261i \(0.843799\pi\)
\(420\) −13.7092 + 2.48511i −0.668943 + 0.121261i
\(421\) 2.61128 + 18.1619i 0.127266 + 0.885155i 0.948998 + 0.315281i \(0.102099\pi\)
−0.821732 + 0.569874i \(0.806992\pi\)
\(422\) −4.93690 + 16.8135i −0.240324 + 0.818470i
\(423\) −15.0318 23.3900i −0.730873 1.13726i
\(424\) −0.0141113 + 0.0981459i −0.000685303 + 0.00476639i
\(425\) 0.700680 + 9.57460i 0.0339880 + 0.464436i
\(426\) −13.2704 + 29.0581i −0.642952 + 1.40787i
\(427\) −12.5142 1.79927i −0.605605 0.0870729i
\(428\) 4.72864 + 7.35791i 0.228567 + 0.355658i
\(429\) 37.3301 + 10.9611i 1.80231 + 0.529207i
\(430\) −12.0407 4.97580i −0.580656 0.239954i
\(431\) −6.15220 7.10002i −0.296341 0.341996i 0.587980 0.808876i \(-0.299924\pi\)
−0.884321 + 0.466880i \(0.845378\pi\)
\(432\) −0.980053 + 1.52499i −0.0471528 + 0.0733712i
\(433\) 6.80539 + 5.89690i 0.327046 + 0.283387i 0.802871 0.596153i \(-0.203305\pi\)
−0.475825 + 0.879540i \(0.657850\pi\)
\(434\) −18.8561 + 5.53666i −0.905124 + 0.265768i
\(435\) 1.76853 16.5785i 0.0847947 0.794880i
\(436\) 18.9946 0.909676
\(437\) 4.41206 23.5576i 0.211057 1.12691i
\(438\) 27.4765i 1.31288i
\(439\) 0.765250 + 1.67566i 0.0365234 + 0.0799751i 0.927014 0.375026i \(-0.122366\pi\)
−0.890491 + 0.455001i \(0.849639\pi\)
\(440\) 9.06798 + 2.30649i 0.432299 + 0.109958i
\(441\) −0.661880 + 0.763851i −0.0315181 + 0.0363738i
\(442\) 4.23027 6.58243i 0.201213 0.313094i
\(443\) 23.5703 20.4238i 1.11986 0.970362i 0.120108 0.992761i \(-0.461676\pi\)
0.999749 + 0.0223991i \(0.00713046\pi\)
\(444\) −0.158539 1.10267i −0.00752394 0.0523302i
\(445\) 7.61715 7.10357i 0.361088 0.336741i
\(446\) 6.34183 4.07564i 0.300294 0.192987i
\(447\) −11.2383 1.61582i −0.531552 0.0764257i
\(448\) 2.48419 + 1.13449i 0.117367 + 0.0535997i
\(449\) 14.2710 31.2490i 0.673488 1.47473i −0.195911 0.980622i \(-0.562766\pi\)
0.869399 0.494111i \(-0.164506\pi\)
\(450\) −3.87072 10.3257i −0.182467 0.486758i
\(451\) 10.0379 6.45097i 0.472667 0.303764i
\(452\) −3.73015 + 12.7037i −0.175451 + 0.597533i
\(453\) 49.7938 7.15927i 2.33952 0.336372i
\(454\) 14.9010 + 17.1967i 0.699340 + 0.807082i
\(455\) 22.2444 11.1577i 1.04283 0.523082i
\(456\) −7.46676 + 8.61710i −0.349663 + 0.403532i
\(457\) 1.32886 + 4.52568i 0.0621614 + 0.211702i 0.984717 0.174162i \(-0.0557215\pi\)
−0.922556 + 0.385864i \(0.873903\pi\)
\(458\) 0.0809338 0.0369612i 0.00378179 0.00172708i
\(459\) 3.48058 0.162459
\(460\) −2.96133 10.3068i −0.138073 0.480558i
\(461\) −34.7565 −1.61877 −0.809387 0.587276i \(-0.800200\pi\)
−0.809387 + 0.587276i \(0.800200\pi\)
\(462\) 23.7167 10.8310i 1.10340 0.503905i
\(463\) −1.31774 4.48779i −0.0612404 0.208566i 0.923189 0.384346i \(-0.125573\pi\)
−0.984429 + 0.175781i \(0.943755\pi\)
\(464\) −2.14012 + 2.46982i −0.0993524 + 0.114659i
\(465\) −16.4600 32.8151i −0.763313 1.52176i
\(466\) 0.383845 + 0.442981i 0.0177813 + 0.0205207i
\(467\) 25.6186 3.68339i 1.18549 0.170447i 0.478767 0.877942i \(-0.341084\pi\)
0.706719 + 0.707495i \(0.250175\pi\)
\(468\) −2.53214 + 8.62366i −0.117048 + 0.398629i
\(469\) −25.3207 + 16.2726i −1.16920 + 0.751399i
\(470\) 21.9641 + 17.6699i 1.01313 + 0.815052i
\(471\) 10.9983 24.0828i 0.506773 1.10968i
\(472\) 8.72380 + 3.98402i 0.401545 + 0.183380i
\(473\) 24.1324 + 3.46971i 1.10961 + 0.159537i
\(474\) 7.62313 4.89909i 0.350142 0.225023i
\(475\) 5.35179 + 24.4077i 0.245557 + 1.11990i
\(476\) −0.746242 5.19023i −0.0342040 0.237894i
\(477\) −0.165270 + 0.143207i −0.00756720 + 0.00655701i
\(478\) 1.02223 1.59063i 0.0467559 0.0727536i
\(479\) −1.72420 + 1.98983i −0.0787808 + 0.0909179i −0.793772 0.608216i \(-0.791885\pi\)
0.714991 + 0.699134i \(0.246431\pi\)
\(480\) −1.25760 + 4.94427i −0.0574014 + 0.225674i
\(481\) 0.826586 + 1.80997i 0.0376891 + 0.0825276i
\(482\) 27.9523i 1.27319i
\(483\) −24.4321 17.2052i −1.11170 0.782865i
\(484\) −6.50963 −0.295892
\(485\) 1.88900 17.7079i 0.0857753 0.804072i
\(486\) −18.3202 + 5.37930i −0.831022 + 0.244010i
\(487\) 25.8999 + 22.4424i 1.17363 + 1.01696i 0.999480 + 0.0322421i \(0.0102648\pi\)
0.174155 + 0.984718i \(0.444281\pi\)
\(488\) −2.50286 + 3.89452i −0.113299 + 0.176297i
\(489\) 8.02779 + 9.26456i 0.363029 + 0.418958i
\(490\) 0.391370 0.947062i 0.0176803 0.0427839i
\(491\) 1.20795 + 0.354685i 0.0545138 + 0.0160067i 0.308876 0.951102i \(-0.400047\pi\)
−0.254362 + 0.967109i \(0.581865\pi\)
\(492\) 3.51736 + 5.47312i 0.158575 + 0.246747i
\(493\) 6.21091 + 0.892994i 0.279725 + 0.0402184i
\(494\) 8.46027 18.5254i 0.380646 0.833498i
\(495\) 11.7831 + 16.9411i 0.529613 + 0.761445i
\(496\) −1.02410 + 7.12276i −0.0459834 + 0.319822i
\(497\) −20.6728 32.1675i −0.927302 1.44291i
\(498\) 6.95846 23.6983i 0.311816 1.06195i
\(499\) 4.09828 + 28.5042i 0.183464 + 1.27602i 0.848494 + 0.529206i \(0.177510\pi\)
−0.665029 + 0.746817i \(0.731581\pi\)
\(500\) 7.03686 + 8.68808i 0.314698 + 0.388543i
\(501\) −8.82109 5.66897i −0.394097 0.253271i
\(502\) −11.3805 9.86127i −0.507937 0.440130i
\(503\) 1.67585 + 5.70744i 0.0747226 + 0.254482i 0.988380 0.152003i \(-0.0485724\pi\)
−0.913657 + 0.406485i \(0.866754\pi\)
\(504\) 2.50209 + 5.47881i 0.111452 + 0.244045i
\(505\) −4.37859 + 7.39362i −0.194845 + 0.329012i
\(506\) 10.1252 + 17.3263i 0.450119 + 0.770250i
\(507\) 8.23014i 0.365513i
\(508\) 9.65748 4.41043i 0.428482 0.195681i
\(509\) −30.6724 + 9.00624i −1.35953 + 0.399194i −0.878598 0.477563i \(-0.841520\pi\)
−0.480934 + 0.876757i \(0.659702\pi\)
\(510\) 9.29164 3.10108i 0.411441 0.137318i
\(511\) 27.6680 + 17.7812i 1.22396 + 0.786592i
\(512\) 0.755750 0.654861i 0.0333997 0.0289410i
\(513\) 8.96707 1.28927i 0.395906 0.0569227i
\(514\) −12.3811 3.63543i −0.546108 0.160352i
\(515\) 15.9103 0.581391i 0.701093 0.0256191i
\(516\) −1.89184 + 13.1580i −0.0832837 + 0.579251i
\(517\) −47.9851 21.9141i −2.11038 0.963780i
\(518\) 1.21295 + 0.553935i 0.0532939 + 0.0243385i
\(519\) 5.56045 38.6737i 0.244076 1.69759i
\(520\) −0.332762 9.10635i −0.0145926 0.399340i
\(521\) −3.60528 1.05861i −0.157950 0.0463784i 0.201801 0.979426i \(-0.435320\pi\)
−0.359752 + 0.933048i \(0.617139\pi\)
\(522\) −7.13421 + 1.02574i −0.312256 + 0.0448956i
\(523\) −25.5749 + 22.1608i −1.11831 + 0.969023i −0.999714 0.0239188i \(-0.992386\pi\)
−0.118599 + 0.992942i \(0.537840\pi\)
\(524\) −13.7328 8.82554i −0.599920 0.385545i
\(525\) 30.4533 + 6.57207i 1.32909 + 0.286829i
\(526\) 25.1215 7.37635i 1.09535 0.321624i
\(527\) 12.5680 5.73963i 0.547473 0.250022i
\(528\) 9.54703i 0.415481i
\(529\) 11.2900 20.0384i 0.490869 0.871234i
\(530\) 0.112978 0.190774i 0.00490747 0.00828668i
\(531\) 8.78664 + 19.2401i 0.381308 + 0.834948i
\(532\) −3.84512 13.0953i −0.166707 0.567752i
\(533\) −8.78223 7.60985i −0.380401 0.329619i
\(534\) −8.94026 5.74555i −0.386883 0.248634i
\(535\) −3.48838 19.2438i −0.150816 0.831984i
\(536\) 1.56848 + 10.9090i 0.0677480 + 0.471198i
\(537\) 12.3905 42.1980i 0.534688 1.82098i
\(538\) 13.4678 + 20.9563i 0.580638 + 0.903490i
\(539\) −0.272909 + 1.89813i −0.0117550 + 0.0817580i
\(540\) 3.32769 2.31453i 0.143201 0.0996014i
\(541\) −4.52024 + 9.89796i −0.194340 + 0.425546i −0.981567 0.191117i \(-0.938789\pi\)
0.787227 + 0.616664i \(0.211516\pi\)
\(542\) 1.74474 + 0.250856i 0.0749430 + 0.0107752i
\(543\) 31.5133 + 49.0357i 1.35237 + 2.10432i
\(544\) −1.84226 0.540938i −0.0789865 0.0231925i
\(545\) −39.2535 16.2214i −1.68144 0.694848i
\(546\) −16.6283 19.1901i −0.711624 0.821258i
\(547\) 9.37596 14.5893i 0.400887 0.623792i −0.580856 0.814007i \(-0.697282\pi\)
0.981743 + 0.190214i \(0.0609183\pi\)
\(548\) −5.52425 4.78679i −0.235984 0.204481i
\(549\) −9.79648 + 2.87651i −0.418104 + 0.122766i
\(550\) −16.7698 12.5106i −0.715067 0.533452i
\(551\) 16.3321 0.695770
\(552\) −9.44710 + 5.52070i −0.402095 + 0.234976i
\(553\) 10.8467i 0.461247i
\(554\) −2.17326 4.75876i −0.0923328 0.202181i
\(555\) −0.614045 + 2.41412i −0.0260648 + 0.102474i
\(556\) 1.06675 1.23110i 0.0452404 0.0522102i
\(557\) −14.4179 + 22.4346i −0.610905 + 0.950586i 0.388669 + 0.921378i \(0.372935\pi\)
−0.999573 + 0.0292085i \(0.990701\pi\)
\(558\) −11.9942 + 10.3930i −0.507754 + 0.439971i
\(559\) −3.37912 23.5023i −0.142922 0.994042i
\(560\) −4.16488 4.46600i −0.175998 0.188723i
\(561\) −15.4208 + 9.91032i −0.651065 + 0.418414i
\(562\) 1.77437 + 0.255116i 0.0748474 + 0.0107614i
\(563\) 8.94878 + 4.08677i 0.377146 + 0.172237i 0.594964 0.803753i \(-0.297166\pi\)
−0.217817 + 0.975990i \(0.569894\pi\)
\(564\) 11.9485 26.1636i 0.503124 1.10169i
\(565\) 18.5576 23.0675i 0.780723 0.970457i
\(566\) 4.39552 2.82483i 0.184758 0.118736i
\(567\) 8.27291 28.1749i 0.347430 1.18324i
\(568\) −13.8589 + 1.99261i −0.581505 + 0.0836079i
\(569\) 16.9406 + 19.5505i 0.710188 + 0.819601i 0.990091 0.140428i \(-0.0448477\pi\)
−0.279903 + 0.960028i \(0.590302\pi\)
\(570\) 22.7895 11.4312i 0.954548 0.478799i
\(571\) 16.2443 18.7469i 0.679804 0.784535i −0.306073 0.952008i \(-0.599015\pi\)
0.985877 + 0.167473i \(0.0535606\pi\)
\(572\) 4.80424 + 16.3617i 0.200875 + 0.684118i
\(573\) −31.6817 + 14.4686i −1.32352 + 0.604433i
\(574\) −7.78749 −0.325043
\(575\) −2.68226 + 23.8287i −0.111858 + 0.993724i
\(576\) 2.20547 0.0918945
\(577\) −12.7528 + 5.82402i −0.530907 + 0.242457i −0.662786 0.748809i \(-0.730626\pi\)
0.131879 + 0.991266i \(0.457899\pi\)
\(578\) −3.75083 12.7742i −0.156014 0.531335i
\(579\) 15.0486 17.3671i 0.625400 0.721751i
\(580\) 6.53192 3.27639i 0.271223 0.136045i
\(581\) 19.3604 + 22.3431i 0.803205 + 0.926948i
\(582\) −17.9856 + 2.58594i −0.745527 + 0.107191i
\(583\) −0.116894 + 0.398103i −0.00484124 + 0.0164877i
\(584\) 10.1311 6.51089i 0.419230 0.269423i
\(585\) 12.5974 15.6589i 0.520840 0.647416i
\(586\) −4.08807 + 8.95162i −0.168877 + 0.369788i
\(587\) −6.31056 2.88194i −0.260465 0.118950i 0.280903 0.959736i \(-0.409366\pi\)
−0.541368 + 0.840786i \(0.682093\pi\)
\(588\) −1.03494 0.148802i −0.0426803 0.00613650i
\(589\) 30.2532 19.4426i 1.24656 0.801117i
\(590\) −14.6259 15.6834i −0.602140 0.645674i
\(591\) 4.22945 + 29.4165i 0.173976 + 1.21003i
\(592\) 0.369007 0.319747i 0.0151661 0.0131415i
\(593\) −9.35013 + 14.5491i −0.383964 + 0.597459i −0.978409 0.206676i \(-0.933735\pi\)
0.594445 + 0.804136i \(0.297372\pi\)
\(594\) −4.96739 + 5.73267i −0.203814 + 0.235214i
\(595\) −2.89030 + 11.3632i −0.118491 + 0.465847i
\(596\) −2.06726 4.52667i −0.0846783 0.185420i
\(597\) 10.7550i 0.440172i
\(598\) 13.4124 14.2153i 0.548472 0.581308i
\(599\) −6.55969 −0.268022 −0.134011 0.990980i \(-0.542786\pi\)
−0.134011 + 0.990980i \(0.542786\pi\)
\(600\) 6.82132 9.14365i 0.278479 0.373288i
\(601\) −40.4968 + 11.8909i −1.65190 + 0.485041i −0.969327 0.245776i \(-0.920957\pi\)
−0.682573 + 0.730818i \(0.739139\pi\)
\(602\) −12.0255 10.4201i −0.490121 0.424692i
\(603\) −13.1413 + 20.4483i −0.535155 + 0.832718i
\(604\) 14.4390 + 16.6635i 0.587515 + 0.678029i
\(605\) 13.4526 + 5.55922i 0.546924 + 0.226015i
\(606\) 8.41251 + 2.47014i 0.341735 + 0.100342i
\(607\) −10.8248 16.8437i −0.439363 0.683663i 0.548992 0.835828i \(-0.315012\pi\)
−0.988355 + 0.152165i \(0.951376\pi\)
\(608\) −4.94664 0.711219i −0.200613 0.0288437i
\(609\) 8.45901 18.5227i 0.342777 0.750576i
\(610\) 8.49824 5.91084i 0.344084 0.239323i
\(611\) −7.31142 + 50.8520i −0.295788 + 2.05725i
\(612\) −2.28939 3.56236i −0.0925432 0.144000i
\(613\) 7.98294 27.1874i 0.322428 1.09809i −0.625664 0.780092i \(-0.715172\pi\)
0.948092 0.317996i \(-0.103010\pi\)
\(614\) −3.10999 21.6305i −0.125509 0.872934i
\(615\) −2.59480 14.3144i −0.104632 0.577211i
\(616\) 9.61357 + 6.17827i 0.387342 + 0.248929i
\(617\) −7.71903 6.68858i −0.310756 0.269272i 0.485493 0.874241i \(-0.338640\pi\)
−0.796249 + 0.604969i \(0.793186\pi\)
\(618\) −4.57668 15.5867i −0.184101 0.626991i
\(619\) 17.5483 + 38.4253i 0.705324 + 1.54444i 0.833394 + 0.552679i \(0.186394\pi\)
−0.128071 + 0.991765i \(0.540878\pi\)
\(620\) 8.19921 13.8451i 0.329288 0.556031i
\(621\) 8.54513 + 1.60040i 0.342904 + 0.0642219i
\(622\) 27.6690i 1.10943i
\(623\) 11.5712 5.28439i 0.463590 0.211715i
\(624\) −8.92115 + 2.61949i −0.357132 + 0.104863i
\(625\) −7.12249 23.9639i −0.284899 0.958557i
\(626\) −5.38292 3.45939i −0.215145 0.138265i
\(627\) −36.0578 + 31.2443i −1.44001 + 1.24778i
\(628\) 11.4860 1.65144i 0.458341 0.0658995i
\(629\) −0.899516 0.264122i −0.0358661 0.0105312i
\(630\) −0.491818 13.4591i −0.0195945 0.536223i
\(631\) −0.736919 + 5.12538i −0.0293363 + 0.204038i −0.999218 0.0395377i \(-0.987411\pi\)
0.969882 + 0.243576i \(0.0783206\pi\)
\(632\) 3.61279 + 1.64990i 0.143709 + 0.0656296i
\(633\) −36.3674 16.6085i −1.44548 0.660127i
\(634\) −0.261784 + 1.82075i −0.0103968 + 0.0723111i
\(635\) −23.7243 + 0.866927i −0.941470 + 0.0344029i
\(636\) −0.217064 0.0637356i −0.00860713 0.00252728i
\(637\) 1.84857 0.265784i 0.0732429 0.0105307i
\(638\) −10.3349 + 8.95521i −0.409161 + 0.354540i
\(639\) −25.9776 16.6948i −1.02766 0.660435i
\(640\) −2.12106 + 0.707901i −0.0838421 + 0.0279822i
\(641\) −47.5064 + 13.9491i −1.87639 + 0.550958i −0.879164 + 0.476519i \(0.841898\pi\)
−0.997226 + 0.0744388i \(0.976283\pi\)
\(642\) −18.1519 + 8.28971i −0.716400 + 0.327169i
\(643\) 15.8335i 0.624413i 0.950014 + 0.312207i \(0.101068\pi\)
−0.950014 + 0.312207i \(0.898932\pi\)
\(644\) 0.554424 13.0856i 0.0218474 0.515645i
\(645\) 15.1466 25.5763i 0.596396 1.00707i
\(646\) 3.98608 + 8.72829i 0.156830 + 0.343410i
\(647\) 7.02727 + 23.9327i 0.276270 + 0.940891i 0.974382 + 0.224901i \(0.0722059\pi\)
−0.698111 + 0.715989i \(0.745976\pi\)
\(648\) −8.12606 7.04127i −0.319222 0.276607i
\(649\) 33.7602 + 21.6964i 1.32520 + 0.851657i
\(650\) −7.08915 + 19.1030i −0.278059 + 0.749282i
\(651\) −6.38104 44.3811i −0.250092 1.73943i
\(652\) −1.51375 + 5.15536i −0.0592830 + 0.201899i
\(653\) 25.5970 + 39.8297i 1.00169 + 1.55866i 0.817633 + 0.575740i \(0.195286\pi\)
0.184054 + 0.982916i \(0.441078\pi\)
\(654\) −6.16751 + 42.8960i −0.241169 + 1.67737i
\(655\) 20.8427 + 29.9664i 0.814392 + 1.17088i
\(656\) −1.18457 + 2.59384i −0.0462496 + 0.101273i
\(657\) 26.2899 + 3.77992i 1.02567 + 0.147469i
\(658\) 18.6136 + 28.9633i 0.725634 + 1.12911i
\(659\) −3.07745 0.903621i −0.119880 0.0352001i 0.221242 0.975219i \(-0.428989\pi\)
−0.341123 + 0.940019i \(0.610807\pi\)
\(660\) −8.15317 + 19.7295i −0.317362 + 0.767971i
\(661\) 9.82815 + 11.3423i 0.382271 + 0.441164i 0.913978 0.405764i \(-0.132995\pi\)
−0.531707 + 0.846928i \(0.678449\pi\)
\(662\) −1.20836 + 1.88024i −0.0469642 + 0.0730777i
\(663\) 13.4917 + 11.6906i 0.523975 + 0.454027i
\(664\) 10.3869 3.04988i 0.403092 0.118358i
\(665\) −3.23718 + 30.3459i −0.125533 + 1.17676i
\(666\) 1.07686 0.0417274
\(667\) 14.8377 + 5.04822i 0.574520 + 0.195468i
\(668\) 4.59585i 0.177819i
\(669\) 7.14496 + 15.6453i 0.276240 + 0.604881i
\(670\) 6.07494 23.8837i 0.234695 0.922706i
\(671\) −12.6857 + 14.6401i −0.489726 + 0.565174i
\(672\) −3.36867 + 5.24175i −0.129949 + 0.202205i
\(673\) −7.74440 + 6.71056i −0.298525 + 0.258673i −0.791224 0.611526i \(-0.790556\pi\)
0.492699 + 0.870200i \(0.336010\pi\)
\(674\) 0.535666 + 3.72564i 0.0206331 + 0.143506i
\(675\) −8.85348 + 1.94127i −0.340771 + 0.0747196i
\(676\) 3.03462 1.95023i 0.116716 0.0750089i
\(677\) −3.75391 0.539731i −0.144275 0.0207436i 0.0697991 0.997561i \(-0.477764\pi\)
−0.214074 + 0.976818i \(0.568673\pi\)
\(678\) −27.4780 12.5488i −1.05529 0.481933i
\(679\) 9.03524 19.7844i 0.346741 0.759256i
\(680\) 3.34520 + 2.69118i 0.128282 + 0.103202i
\(681\) −43.6741 + 28.0677i −1.67360 + 1.07556i
\(682\) −8.48335 + 28.8916i −0.324844 + 1.10632i
\(683\) 29.0265 4.17338i 1.11067 0.159690i 0.437527 0.899205i \(-0.355854\pi\)
0.673140 + 0.739515i \(0.264945\pi\)
\(684\) −7.21777 8.32975i −0.275978 0.318496i
\(685\) 7.32829 + 14.6099i 0.280000 + 0.558216i
\(686\) −11.6993 + 13.5017i −0.446682 + 0.515498i
\(687\) 0.0571914 + 0.194776i 0.00218199 + 0.00743117i
\(688\) −5.29993 + 2.42040i −0.202058 + 0.0922768i
\(689\) 0.404077 0.0153941
\(690\) 24.2377 3.34104i 0.922714 0.127191i
\(691\) −0.530453 −0.0201794 −0.0100897 0.999949i \(-0.503212\pi\)
−0.0100897 + 0.999949i \(0.503212\pi\)
\(692\) 15.5774 7.11396i 0.592164 0.270432i
\(693\) 7.10061 + 24.1825i 0.269730 + 0.918616i
\(694\) 3.27302 3.77727i 0.124242 0.143383i
\(695\) −3.25587 + 1.63314i −0.123502 + 0.0619484i
\(696\) −4.88278 5.63503i −0.185081 0.213595i
\(697\) 5.41932 0.779181i 0.205272 0.0295136i
\(698\) −0.226218 + 0.770427i −0.00856247 + 0.0291611i
\(699\) −1.12503 + 0.723013i −0.0425525 + 0.0273469i
\(700\) 4.79302 + 12.7861i 0.181159 + 0.483268i
\(701\) −5.74339 + 12.5763i −0.216925 + 0.474999i −0.986542 0.163506i \(-0.947720\pi\)
0.769618 + 0.638505i \(0.220447\pi\)
\(702\) 6.71979 + 3.06882i 0.253622 + 0.115825i
\(703\) −2.41528 0.347264i −0.0910939 0.0130973i
\(704\) 3.52018 2.26228i 0.132672 0.0852631i
\(705\) −47.0362 + 43.8648i −1.77148 + 1.65204i
\(706\) −0.811264 5.64246i −0.0305323 0.212357i
\(707\) −7.93143 + 6.87262i −0.298292 + 0.258471i
\(708\) −11.8298 + 18.4076i −0.444592 + 0.691799i
\(709\) −0.952572 + 1.09933i −0.0357746 + 0.0412861i −0.773355 0.633973i \(-0.781423\pi\)
0.737580 + 0.675259i \(0.235968\pi\)
\(710\) 30.3419 + 7.71764i 1.13871 + 0.289638i
\(711\) 3.63881 + 7.96789i 0.136466 + 0.298819i
\(712\) 4.65793i 0.174563i
\(713\) 33.4948 8.31241i 1.25439 0.311302i
\(714\) 11.9635 0.447724
\(715\) 4.04466 37.9154i 0.151262 1.41795i
\(716\) 18.4953 5.43072i 0.691203 0.202956i
\(717\) 3.26024 + 2.82501i 0.121756 + 0.105502i
\(718\) −4.48280 + 6.97537i −0.167296 + 0.260318i
\(719\) 10.3911 + 11.9920i 0.387523 + 0.447226i 0.915672 0.401926i \(-0.131659\pi\)
−0.528149 + 0.849152i \(0.677114\pi\)
\(720\) −4.55774 1.88347i −0.169857 0.0701928i
\(721\) 18.6571 + 5.47823i 0.694828 + 0.204020i
\(722\) 3.23035 + 5.02652i 0.120221 + 0.187068i
\(723\) −63.1254 9.07606i −2.34766 0.337542i
\(724\) −10.6130 + 23.2392i −0.394428 + 0.863677i
\(725\) −16.2967 + 1.19261i −0.605243 + 0.0442923i
\(726\) 2.11367 14.7009i 0.0784455 0.545600i
\(727\) −22.5190 35.0402i −0.835183 1.29957i −0.951901 0.306404i \(-0.900874\pi\)
0.116719 0.993165i \(-0.462762\pi\)
\(728\) 3.13549 10.6785i 0.116209 0.395771i
\(729\) −1.60904 11.1911i −0.0595939 0.414485i
\(730\) −26.4970 + 4.80317i −0.980697 + 0.177773i
\(731\) 9.41113 + 6.04817i 0.348083 + 0.223699i
\(732\) −7.98243 6.91682i −0.295039 0.255653i
\(733\) −14.0413 47.8202i −0.518627 1.76628i −0.634400 0.773005i \(-0.718753\pi\)
0.115773 0.993276i \(-0.463065\pi\)
\(734\) −5.52313 12.0940i −0.203862 0.446396i
\(735\) 2.01170 + 1.19135i 0.0742026 + 0.0439436i
\(736\) −4.27420 2.17514i −0.157549 0.0801768i
\(737\) 46.1176i 1.69877i
\(738\) −5.72064 + 2.61253i −0.210580 + 0.0961685i
\(739\) −20.1950 + 5.92979i −0.742885 + 0.218131i −0.631208 0.775614i \(-0.717440\pi\)
−0.111677 + 0.993745i \(0.535622\pi\)
\(740\) −1.03564 + 0.345644i −0.0380709 + 0.0127061i
\(741\) 39.0894 + 25.1212i 1.43598 + 0.922851i
\(742\) 0.204650 0.177331i 0.00751295 0.00651001i
\(743\) −35.0002 + 5.03227i −1.28403 + 0.184616i −0.750334 0.661059i \(-0.770107\pi\)
−0.533698 + 0.845675i \(0.679198\pi\)
\(744\) −15.7530 4.62550i −0.577533 0.169579i
\(745\) 0.406347 + 11.1201i 0.0148874 + 0.407409i
\(746\) 4.19241 29.1588i 0.153495 1.06758i
\(747\) 21.7176 + 9.91812i 0.794607 + 0.362885i
\(748\) −7.30827 3.33757i −0.267217 0.122034i
\(749\) 3.39936 23.6431i 0.124210 0.863898i
\(750\) −21.9054 + 13.0705i −0.799871 + 0.477268i
\(751\) −32.3812 9.50798i −1.18161 0.346951i −0.368814 0.929503i \(-0.620236\pi\)
−0.812793 + 0.582552i \(0.802054\pi\)
\(752\) 12.4784 1.79412i 0.455041 0.0654250i
\(753\) 25.9652 22.4990i 0.946224 0.819908i
\(754\) 11.2038 + 7.20023i 0.408017 + 0.262217i
\(755\) −15.6085 46.7671i −0.568051 1.70203i
\(756\) 4.75009 1.39475i 0.172759 0.0507267i
\(757\) 3.58395 1.63674i 0.130261 0.0594882i −0.349218 0.937041i \(-0.613553\pi\)
0.479479 + 0.877553i \(0.340826\pi\)
\(758\) 32.3384i 1.17459i
\(759\) −42.4162 + 17.2401i −1.53961 + 0.625776i
\(760\) 9.61515 + 5.69421i 0.348778 + 0.206551i
\(761\) 0.958335 + 2.09846i 0.0347396 + 0.0760692i 0.926206 0.377017i \(-0.123050\pi\)
−0.891467 + 0.453086i \(0.850323\pi\)
\(762\) 6.82441 + 23.2418i 0.247222 + 0.841962i
\(763\) −39.2037 33.9702i −1.41927 1.22980i
\(764\) −12.8422 8.25319i −0.464615 0.298590i
\(765\) 1.68891 + 9.31699i 0.0610628 + 0.336856i
\(766\) 3.50167 + 24.3546i 0.126520 + 0.879968i
\(767\) 11.0110 37.4999i 0.397583 1.35404i
\(768\) 1.23350 + 1.91936i 0.0445101 + 0.0692590i
\(769\) 1.64433 11.4366i 0.0592962 0.412414i −0.938456 0.345399i \(-0.887743\pi\)
0.997752 0.0670148i \(-0.0213475\pi\)
\(770\) −14.5908 20.9778i −0.525816 0.755986i
\(771\) 12.2301 26.7802i 0.440457 0.964466i
\(772\) 9.96955 + 1.43340i 0.358812 + 0.0515894i
\(773\)