Properties

Label 230.2.j.a.29.2
Level $230$
Weight $2$
Character 230.29
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 29.2
Character \(\chi\) \(=\) 230.29
Dual form 230.2.j.a.119.2

$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{11}\right)\)

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 0.536433 + 0.843943i \(0.319771\pi\)
−0.907546 + 0.419952i \(0.862047\pi\)
\(4\) 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 −0.388958 0.921255i \(-0.627165\pi\)
−0.632750 + 0.774356i \(0.718074\pi\)
\(8\) −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 −0.967859 0.251493i \(-0.919078\pi\)
0.443747 0.896152i \(-0.353649\pi\)
\(12\) −2.07537 + 0.947790i −0.599108 + 0.273603i
\(13\) 4.03372 0.579962i 1.11875 0.160852i 0.441966 0.897032i \(-0.354281\pi\)
0.676787 + 0.736179i \(0.263372\pi\)
\(14\) 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 0.460894 0.887455i \(-0.347529\pi\)
−0.812830 + 0.582501i \(0.802074\pi\)
\(18\) 1.19237 + 1.85536i 0.281043 + 0.437312i
\(19\) −3.27267 3.77686i −0.750802 0.866471i 0.243844 0.969814i \(-0.421591\pi\)
−0.994646 + 0.103343i \(0.967046\pi\)
\(20\) −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 −0.918823 0.394669i \(-0.870859\pi\)
0.521414 + 0.853304i \(0.325405\pi\)
\(30\) −4.71497 + 1.94844i −0.860831 + 0.355736i
\(31\) −6.90452 + 2.02735i −1.24009 + 0.364123i −0.835049 0.550176i \(-0.814561\pi\)
−0.405040 + 0.914299i \(0.632742\pi\)
\(32\) 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 −0.818877 0.573969i \(-0.805403\pi\)
0.862274 + 0.506441i \(0.169039\pi\)
\(38\) 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 −0.714387 0.699751i \(-0.753294\pi\)
0.339748 + 0.940516i \(0.389658\pi\)
\(42\) −4.70898 + 4.08036i −0.726612 + 0.629613i
\(43\) −1.64150 + 5.59045i −0.250327 + 0.852535i 0.734443 + 0.678671i \(0.237444\pi\)
−0.984770 + 0.173864i \(0.944375\pi\)
\(44\) 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 \(-0.628642\pi\)
0.393229 0.919440i \(-0.371358\pi\)
\(48\) −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 0.149052 0.988829i \(-0.452378\pi\)
−0.135571 + 0.990768i \(0.543287\pi\)
\(54\) 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 0.862089 + 0.506756i \(0.169156\pi\)
−0.684399 + 0.729108i \(0.739935\pi\)
\(60\) 5.09830 + 0.186301i 0.658187 + 0.0240513i
\(61\) 4.44190 1.30426i 0.568728 0.166994i 0.0152885 0.999883i \(-0.495133\pi\)
0.553439 + 0.832890i \(0.313315\pi\)
\(62\) 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 0.919561 0.392946i \(-0.128544\pi\)
0.305216 + 0.952283i \(0.401271\pi\)
\(68\) 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 −0.161096 0.986939i \(-0.551503\pi\)
0.851374 0.524559i \(-0.175770\pi\)
\(72\) −0.621352 + 2.11613i −0.0732271 + 0.249389i
\(73\) −9.10143 + 7.88643i −1.06524 + 0.923037i −0.997210 0.0746458i \(-0.976217\pi\)
−0.0680318 + 0.997683i \(0.521672\pi\)
\(74\) −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 0.996597 + 0.0824342i \(0.0262694\pi\)
−0.933003 + 0.359869i \(0.882821\pi\)
\(80\) 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 0.355474 + 0.934686i \(0.384319\pi\)
−0.997890 + 0.0649316i \(0.979317\pi\)
\(84\) 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 0.0361426 0.999347i \(-0.488493\pi\)
−0.509883 + 0.860244i \(0.670311\pi\)
\(90\) −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 0.550836 0.834614i \(-0.314309\pi\)
−0.988017 + 0.154347i \(0.950673\pi\)
\(98\) −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 0.691506 0.722370i \(-0.256947\pi\)
−0.369829 + 0.929100i \(0.620584\pi\)
\(102\) −4.33608 + 0.623434i −0.429336 + 0.0617292i
\(103\) −6.47664 + 2.95778i −0.638162 + 0.291439i −0.708100 0.706113i \(-0.750447\pi\)
0.0699376 + 0.997551i \(0.477720\pi\)
\(104\) −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 −0.988636 0.150330i \(-0.951966\pi\)
0.750419 0.660962i \(-0.229852\pi\)
\(108\) −1.79431 0.257983i −0.172658 0.0248244i
\(109\) 12.4388 14.3552i 1.19142 1.37497i 0.281834 0.959463i \(-0.409057\pi\)
0.909588 0.415511i \(-0.136397\pi\)
\(110\) 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 −0.241455 0.970412i \(-0.577625\pi\)
−0.891508 + 0.453005i \(0.850352\pi\)
\(114\) −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 0.0620412 0.998074i \(-0.480239\pi\)
0.794922 + 0.606712i \(0.207512\pi\)
\(128\) 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 0.592411 + 0.805636i \(0.298176\pi\)
−0.795388 + 0.606101i \(0.792733\pi\)
\(132\) 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 \(0.101083\pi\)
−0.949999 + 0.312252i \(0.898917\pi\)
\(138\) −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 0.975212 0.221273i \(-0.0710213\pi\)
−0.805855 + 0.592113i \(0.798294\pi\)
\(150\) 11.3773 + 0.832606i 0.928955 + 0.0679820i
\(151\) −3.13790 21.8246i −0.255359 1.77606i −0.564888 0.825168i \(-0.691080\pi\)
0.309529 0.950890i \(-0.399829\pi\)
\(152\) −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 −0.230470 0.973079i \(-0.574026\pi\)
0.930376 + 0.366608i \(0.119481\pi\)
\(158\) 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 0.214707 0.976679i \(-0.431120\pi\)
−0.597522 + 0.801853i \(0.703848\pi\)
\(164\) −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 0.778811 0.627259i \(-0.215823\pi\)
−0.510038 + 0.860152i \(0.670369\pi\)
\(168\) −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 0.276830 0.960919i \(-0.410716\pi\)
0.907499 + 0.420054i \(0.137989\pi\)
\(174\) 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 0.231050 0.972942i \(-0.425784\pi\)
0.981001 + 0.194004i \(0.0621476\pi\)
\(180\) −1.56125 + 4.67792i −0.116369 + 0.348672i
\(181\) −24.5130 7.19767i −1.82204 0.534999i −0.822604 0.568615i \(-0.807480\pi\)
−0.999435 + 0.0336159i \(0.989298\pi\)
\(182\) 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 0.746568 + 0.665309i \(0.231700\pi\)
−0.903766 + 0.428027i \(0.859209\pi\)
\(192\) −0.642787 2.18913i −0.0463891 0.157987i
\(193\) 5.44537 8.47316i 0.391966 0.609912i −0.588051 0.808824i \(-0.700105\pi\)
0.980017 + 0.198912i \(0.0637409\pi\)
\(194\) 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 −0.585367 0.810769i \(-0.699049\pi\)
−0.333235 + 0.942844i \(0.608140\pi\)
\(198\) 4.98940 7.76366i 0.354581 0.551739i
\(199\) 4.52294 1.32806i 0.320623 0.0941434i −0.117461 0.993078i \(-0.537475\pi\)
0.438084 + 0.898934i \(0.355657\pi\)
\(200\) 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 0.997788 0.0664691i \(-0.0211734\pi\)
−0.207793 + 0.978173i \(0.566628\pi\)
\(212\) 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 −0.112133 0.993693i \(-0.535768\pi\)
−0.387547 + 0.921850i \(0.626677\pi\)
\(224\) −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 0.416268 + 0.909242i \(0.363338\pi\)
−0.841760 + 0.539851i \(0.818480\pi\)
\(228\) 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 −0.964725 0.263258i \(-0.915203\pi\)
0.953907 + 0.300103i \(0.0970210\pi\)
\(234\) 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 0.488184 0.872741i \(-0.337659\pi\)
−0.591074 + 0.806618i \(0.701296\pi\)
\(240\) 3.19788 + 3.97504i 0.206422 + 0.256588i
\(241\) 11.6118 + 25.4263i 0.747982 + 1.63785i 0.769959 + 0.638093i \(0.220276\pi\)
−0.0219777 + 0.999758i \(0.506996\pi\)
\(242\) 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 −0.602920 0.797802i \(-0.705996\pi\)
0.997767 0.0667929i \(-0.0212767\pi\)
\(252\) 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 −0.295326 0.955397i \(-0.595428\pi\)
0.903643 + 0.428287i \(0.140883\pi\)
\(258\) 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 −0.883012 0.469350i \(-0.844488\pi\)
−0.715012 + 0.699112i \(0.753579\pi\)
\(264\) −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 0.535903 + 0.844280i \(0.319971\pi\)
−0.752056 + 0.659099i \(0.770938\pi\)
\(270\) −3.98846 0.722998i −0.242730 0.0440002i
\(271\) −1.48286 + 0.952978i −0.0900775 + 0.0578893i −0.584904 0.811102i \(-0.698868\pi\)
0.494827 + 0.868992i \(0.335232\pi\)
\(272\) 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 \(-0.949764\pi\)
0.987572 0.157166i \(-0.0502358\pi\)
\(278\) −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 −0.584849 0.811142i \(-0.698846\pi\)
0.494886 + 0.868958i \(0.335210\pi\)
\(282\) −21.7375 18.8357i −1.29445 1.12165i
\(283\) −5.17178 0.743590i −0.307431 0.0442019i −0.0131271 0.999914i \(-0.504179\pi\)
−0.294304 + 0.955712i \(0.595088\pi\)
\(284\) 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 0.844467 0.535608i \(-0.179918\pi\)
−0.409976 + 0.912096i \(0.634463\pi\)
\(294\) 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 −0.925763 0.378103i \(-0.876576\pi\)
0.574384 0.818586i \(-0.305242\pi\)
\(308\) −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 −0.889995 0.455971i \(-0.849292\pi\)
0.238223 0.971210i \(-0.423435\pi\)
\(312\) 9.20313 1.32321i 0.521025 0.0749121i
\(313\) 3.45939 5.38292i 0.195536 0.304261i −0.729615 0.683858i \(-0.760301\pi\)
0.925152 + 0.379597i \(0.123937\pi\)
\(314\) −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 0.868058 0.496462i \(-0.165368\pi\)
−0.812202 + 0.583376i \(0.801731\pi\)
\(318\) 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 0.591294 0.806456i \(-0.298617\pi\)
−0.487946 + 0.872874i \(0.662254\pi\)
\(332\) −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 0.983320 0.181883i \(-0.0582192\pi\)
−0.925555 + 0.378613i \(0.876401\pi\)
\(338\) −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 0.289629 0.957139i \(-0.406468\pi\)
−0.533691 + 0.845679i \(0.679195\pi\)
\(348\) 2.10066 7.15418i 0.112607 0.383504i
\(349\) 0.525822 + 0.606831i 0.0281466 + 0.0324829i 0.769648 0.638468i \(-0.220432\pi\)
−0.741502 + 0.670951i \(0.765886\pi\)
\(350\) 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 0.905648 0.424030i \(-0.139385\pi\)
−0.991128 + 0.132914i \(0.957567\pi\)
\(354\) 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 0.711613 0.702572i \(-0.247965\pi\)
−0.343467 + 0.939165i \(0.611601\pi\)
\(360\) 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 \(-0.887198\pi\)
0.937862 0.347008i \(-0.112802\pi\)
\(368\) 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 −0.956449 0.291898i \(-0.905713\pi\)
0.131803 0.991276i \(-0.457923\pi\)
\(374\) 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 −0.851630 0.524143i \(-0.824386\pi\)
0.161578 0.986860i \(-0.448342\pi\)
\(380\) −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 0.923307 + 0.384062i \(0.125475\pi\)
−0.569096 + 0.822271i \(0.692707\pi\)
\(384\) −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 0.577417 + 0.816449i \(0.304061\pi\)
−0.995159 + 0.0982781i \(0.968667\pi\)
\(390\) −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 0.522706 0.852513i \(-0.324923\pi\)
−0.769447 + 0.638711i \(0.779468\pi\)
\(398\) −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 −0.887212 0.461362i \(-0.847361\pi\)
0.721293 0.692630i \(-0.243548\pi\)
\(402\) 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 −0.971899 0.235398i \(-0.924361\pi\)
−0.189616 + 0.981858i \(0.560724\pi\)
\(410\) −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 −0.881994 0.471261i \(-0.843799\pi\)
0.0622812 + 0.998059i \(0.480162\pi\)
\(420\) −13.7092 2.48511i −0.668943 0.121261i
\(421\) 2.61128 18.1619i 0.127266 0.885155i −0.821732 0.569874i \(-0.806992\pi\)
0.948998 0.315281i \(-0.102099\pi\)
\(422\) −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 −0.884321 0.466880i \(-0.845378\pi\)
0.587980 + 0.808876i \(0.299924\pi\)
\(432\) −0.980053 1.52499i −0.0471528 0.0733712i
\(433\) 6.80539 5.89690i 0.327046 0.283387i −0.475825 0.879540i \(-0.657850\pi\)
0.802871 + 0.596153i \(0.203305\pi\)
\(434\) −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 −0.890491 0.455001i \(-0.849639\pi\)
0.927014 + 0.375026i \(0.122366\pi\)
\(440\) 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 0.999749 0.0223991i \(-0.00713046\pi\)
0.120108 + 0.992761i \(0.461676\pi\)
\(444\) −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 0.869399 + 0.494111i \(0.164506\pi\)
−0.195911 + 0.980622i \(0.562766\pi\)
\(450\) −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 −0.922556 0.385864i \(-0.873903\pi\)
0.984717 + 0.174162i \(0.0557215\pi\)
\(458\) 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 −0.984429 0.175781i \(-0.943755\pi\)
0.923189 + 0.384346i \(0.125573\pi\)
\(464\) −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 0.706719 0.707495i \(-0.250175\pi\)
0.478767 + 0.877942i \(0.341084\pi\)
\(468\) −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 0.714991 0.699134i \(-0.246431\pi\)
−0.793772 + 0.608216i \(0.791885\pi\)
\(480\) −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 0.174155 0.984718i \(-0.444281\pi\)
0.999480 0.0322421i \(-0.0102648\pi\)
\(488\) −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 −0.254362 0.967109i \(-0.581865\pi\)
0.308876 + 0.951102i \(0.400047\pi\)
\(492\) 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 −0.665029 0.746817i \(-0.731581\pi\)
0.848494 0.529206i \(-0.177510\pi\)
\(500\) 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 −0.913657 0.406485i \(-0.866754\pi\)
0.988380 + 0.152003i \(0.0485724\pi\)
\(504\) 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 −0.480934 0.876757i \(-0.659702\pi\)
−0.878598 + 0.477563i \(0.841520\pi\)
\(510\) 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 −0.359752 0.933048i \(-0.617139\pi\)
0.201801 + 0.979426i \(0.435320\pi\)
\(522\) −7.13421 1.02574i −0.312256 0.0448956i
\(523\) −25.5749 22.1608i −1.11831 0.969023i −0.118599 0.992942i \(-0.537840\pi\)
−0.999714 + 0.0239188i \(0.992386\pi\)
\(524\) −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 0.787227 0.616664i \(-0.211516\pi\)
−0.981567 + 0.191117i \(0.938789\pi\)
\(542\) 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 0.981743 0.190214i \(-0.0609183\pi\)
−0.580856 + 0.814007i \(0.697282\pi\)
\(548\) −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 −0.999573 0.0292085i \(-0.990701\pi\)
0.388669 0.921378i \(-0.372935\pi\)
\(558\) −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 −0.217817 0.975990i \(-0.569894\pi\)
0.594964 + 0.803753i \(0.297166\pi\)
\(564\) 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 −0.279903 0.960028i \(-0.590302\pi\)
0.990091 + 0.140428i \(0.0448477\pi\)
\(570\) 22.7895 + 11.4312i 0.954548 + 0.478799i
\(571\) 16.2443 + 18.7469i 0.679804 + 0.784535i 0.985877 0.167473i \(-0.0535606\pi\)
−0.306073 + 0.952008i \(0.599015\pi\)
\(572\) 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 0.131879 0.991266i \(-0.457899\pi\)
−0.662786 + 0.748809i \(0.730626\pi\)
\(578\) −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 −0.541368 0.840786i \(-0.682093\pi\)
0.280903 + 0.959736i \(0.409366\pi\)
\(588\) −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 0.594445 0.804136i \(-0.297372\pi\)
−0.978409 + 0.206676i \(0.933735\pi\)
\(594\) −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 −0.682573 0.730818i \(-0.739139\pi\)
−0.969327 + 0.245776i \(0.920957\pi\)
\(602\) −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 −0.988355 0.152165i \(-0.951376\pi\)
0.548992 + 0.835828i \(0.315012\pi\)
\(608\) −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 0.948092 + 0.317996i \(0.103010\pi\)
−0.625664 + 0.780092i \(0.715172\pi\)
\(614\) −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 −0.796249 0.604969i \(-0.793186\pi\)
0.485493 + 0.874241i \(0.338640\pi\)
\(618\) −4.57668 + 15.5867i −0.184101 + 0.626991i
\(619\) 17.5483 38.4253i 0.705324 1.54444i −0.128071 0.991765i \(-0.540878\pi\)
0.833394 0.552679i \(-0.186394\pi\)
\(620\) 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 0.969882 0.243576i \(-0.0783206\pi\)
−0.999218 + 0.0395377i \(0.987411\pi\)
\(632\) 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 −0.997226 0.0744388i \(-0.976283\pi\)
−0.879164 0.476519i \(-0.841898\pi\)
\(642\) −18.1519 8.28971i −0.716400 0.327169i
\(643\) 15.8335i 0.624413i −0.950014 0.312207i \(-0.898932\pi\)
0.950014 0.312207i \(-0.101068\pi\)
\(644\) 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 −0.698111 0.715989i \(-0.745976\pi\)
0.974382 0.224901i \(-0.0722059\pi\)
\(648\) −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 0.184054 0.982916i \(-0.441078\pi\)
0.817633 0.575740i \(-0.195286\pi\)
\(654\) −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 −0.341123 0.940019i \(-0.610807\pi\)
0.221242 + 0.975219i \(0.428989\pi\)
\(660\) −8.15317 19.7295i −0.317362 0.767971i
\(661\) 9.82815 11.3423i 0.382271 0.441164i −0.531707 0.846928i \(-0.678449\pi\)
0.913978 + 0.405764i \(0.132995\pi\)
\(662\) −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 0.492699 0.870200i \(-0.336010\pi\)
−0.791224 + 0.611526i \(0.790556\pi\)
\(674\) 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 −0.214074 0.976818i \(-0.568673\pi\)
0.0697991 + 0.997561i \(0.477764\pi\)
\(678\) −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 0.673140 0.739515i \(-0.264945\pi\)
0.437527 + 0.899205i \(0.355854\pi\)
\(684\) −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 0.769618 0.638505i \(-0.220447\pi\)
−0.986542 + 0.163506i \(0.947720\pi\)
\(702\) 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 0.737580 0.675259i \(-0.235968\pi\)
−0.773355 + 0.633973i \(0.781423\pi\)
\(710\) 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 −0.528149 0.849152i \(-0.677114\pi\)
0.915672 + 0.401926i \(0.131659\pi\)
\(720\) −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 0.116719 + 0.993165i \(0.462762\pi\)
−0.951901 + 0.306404i \(0.900874\pi\)
\(728\) 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 0.115773 + 0.993276i \(0.463065\pi\)
−0.634400 + 0.773005i \(0.718753\pi\)
\(734\) −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 −0.111677 0.993745i \(-0.535622\pi\)
−0.631208 + 0.775614i \(0.717440\pi\)
\(740\) −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 −0.533698 0.845675i \(-0.679198\pi\)
−0.750334 + 0.661059i \(0.770107\pi\)
\(744\) −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 −0.812793 0.582552i \(-0.802054\pi\)
−0.368814 + 0.929503i \(0.620236\pi\)
\(752\) 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 0.479479 0.877553i \(-0.340826\pi\)
−0.349218 + 0.937041i \(0.613553\pi\)
\(758\) 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 −0.891467 0.453086i \(-0.850323\pi\)
0.926206 + 0.377017i \(0.123050\pi\)
\(762\) 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 0.997752 + 0.0670148i \(0.0213475\pi\)
−0.938456 + 0.345399i \(0.887743\pi\)
\(770\) −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