Properties

Label 150.2.l.a.53.6
Level 150
Weight 2
Character 150.53
Analytic conductor 1.198
Analytic rank 0
Dimension 80
CM No

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.l (of order \(20\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 53.6
Character \(\chi\) = 150.53
Dual form 150.2.l.a.17.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.891007 - 0.453990i) q^{2} +(-1.69961 + 0.333634i) q^{3} +(0.587785 - 0.809017i) q^{4} +(1.62298 + 1.53816i) q^{5} +(-1.36290 + 1.06888i) q^{6} +(2.58285 - 2.58285i) q^{7} +(0.156434 - 0.987688i) q^{8} +(2.77738 - 1.13410i) q^{9} +O(q^{10})\) \(q+(0.891007 - 0.453990i) q^{2} +(-1.69961 + 0.333634i) q^{3} +(0.587785 - 0.809017i) q^{4} +(1.62298 + 1.53816i) q^{5} +(-1.36290 + 1.06888i) q^{6} +(2.58285 - 2.58285i) q^{7} +(0.156434 - 0.987688i) q^{8} +(2.77738 - 1.13410i) q^{9} +(2.14440 + 0.633691i) q^{10} +(1.45719 + 0.473470i) q^{11} +(-0.729092 + 1.57112i) q^{12} +(-2.28489 + 4.48435i) q^{13} +(1.12875 - 3.47393i) q^{14} +(-3.27162 - 2.07279i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(-5.09363 - 0.806752i) q^{17} +(1.95979 - 2.27139i) q^{18} +(-1.27450 - 1.75421i) q^{19} +(2.19836 - 0.408913i) q^{20} +(-3.52813 + 5.25158i) q^{21} +(1.51332 - 0.239686i) q^{22} +(-2.88760 - 5.66723i) q^{23} +(0.0636485 + 1.73088i) q^{24} +(0.268140 + 4.99280i) q^{25} +5.03290i q^{26} +(-4.34209 + 2.85416i) q^{27} +(-0.571409 - 3.60774i) q^{28} +(5.64831 + 4.10373i) q^{29} +(-3.85607 - 0.361585i) q^{30} +(-5.95310 + 4.32518i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-2.63463 - 0.318547i) q^{33} +(-4.90472 + 1.59364i) q^{34} +(8.16476 - 0.219087i) q^{35} +(0.714995 - 2.91355i) q^{36} +(-6.84089 - 3.48561i) q^{37} +(-1.93198 - 0.984395i) q^{38} +(2.38730 - 8.38398i) q^{39} +(1.77311 - 1.36238i) q^{40} +(2.85939 - 0.929072i) q^{41} +(-0.759414 + 6.28093i) q^{42} +(3.24693 + 3.24693i) q^{43} +(1.23956 - 0.900593i) q^{44} +(6.25205 + 2.43142i) q^{45} +(-5.14573 - 3.73859i) q^{46} +(-0.446195 - 2.81716i) q^{47} +(0.842515 + 1.51333i) q^{48} -6.34226i q^{49} +(2.50560 + 4.32689i) q^{50} +(8.92637 - 0.328243i) q^{51} +(2.28489 + 4.48435i) q^{52} +(-1.02055 + 0.161639i) q^{53} +(-2.57307 + 4.51434i) q^{54} +(1.63672 + 3.00982i) q^{55} +(-2.14701 - 2.95510i) q^{56} +(2.75143 + 2.55625i) q^{57} +(6.89573 + 1.09218i) q^{58} +(-2.10801 - 6.48779i) q^{59} +(-3.59994 + 1.42844i) q^{60} +(1.78395 - 5.49044i) q^{61} +(-3.34066 + 6.55641i) q^{62} +(4.24434 - 10.1028i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-10.6060 + 3.76349i) q^{65} +(-2.49209 + 0.912268i) q^{66} +(-0.527466 + 3.33029i) q^{67} +(-3.64664 + 3.64664i) q^{68} +(6.79858 + 8.66870i) q^{69} +(7.17539 - 3.90193i) q^{70} +(-2.18090 + 3.00175i) q^{71} +(-0.685659 - 2.92059i) q^{72} +(-0.531390 + 0.270757i) q^{73} -7.67771 q^{74} +(-2.12150 - 8.39638i) q^{75} -2.16832 q^{76} +(4.98661 - 2.54081i) q^{77} +(-1.67915 - 8.55399i) q^{78} +(-0.782199 + 1.07660i) q^{79} +(0.961346 - 2.01886i) q^{80} +(6.42764 - 6.29964i) q^{81} +(2.12595 - 2.12595i) q^{82} +(-0.432953 + 2.73356i) q^{83} +(2.17484 + 5.94112i) q^{84} +(-7.02596 - 9.14415i) q^{85} +(4.36710 + 1.41896i) q^{86} +(-10.9691 - 5.09030i) q^{87} +(0.695596 - 1.36518i) q^{88} +(-1.98939 + 6.12272i) q^{89} +(6.67446 - 0.671961i) q^{90} +(5.68088 + 17.4839i) q^{91} +(-6.28217 - 0.994998i) q^{92} +(8.67494 - 9.33729i) q^{93} +(-1.67653 - 2.30754i) q^{94} +(0.629747 - 4.80743i) q^{95} +(1.43772 + 0.965894i) q^{96} +(13.5156 - 2.14067i) q^{97} +(-2.87933 - 5.65100i) q^{98} +(4.58413 - 0.337594i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.891007 0.453990i 0.630037 0.321020i
\(3\) −1.69961 + 0.333634i −0.981273 + 0.192624i
\(4\) 0.587785 0.809017i 0.293893 0.404508i
\(5\) 1.62298 + 1.53816i 0.725820 + 0.687885i
\(6\) −1.36290 + 1.06888i −0.556402 + 0.436368i
\(7\) 2.58285 2.58285i 0.976227 0.976227i −0.0234972 0.999724i \(-0.507480\pi\)
0.999724 + 0.0234972i \(0.00748007\pi\)
\(8\) 0.156434 0.987688i 0.0553079 0.349201i
\(9\) 2.77738 1.13410i 0.925792 0.378033i
\(10\) 2.14440 + 0.633691i 0.678118 + 0.200391i
\(11\) 1.45719 + 0.473470i 0.439360 + 0.142757i 0.520340 0.853959i \(-0.325805\pi\)
−0.0809806 + 0.996716i \(0.525805\pi\)
\(12\) −0.729092 + 1.57112i −0.210471 + 0.453544i
\(13\) −2.28489 + 4.48435i −0.633714 + 1.24373i 0.321245 + 0.946996i \(0.395899\pi\)
−0.954959 + 0.296738i \(0.904101\pi\)
\(14\) 1.12875 3.47393i 0.301671 0.928447i
\(15\) −3.27162 2.07279i −0.844730 0.535193i
\(16\) −0.309017 0.951057i −0.0772542 0.237764i
\(17\) −5.09363 0.806752i −1.23539 0.195666i −0.495626 0.868536i \(-0.665061\pi\)
−0.739761 + 0.672870i \(0.765061\pi\)
\(18\) 1.95979 2.27139i 0.461927 0.535372i
\(19\) −1.27450 1.75421i −0.292391 0.402442i 0.637398 0.770535i \(-0.280011\pi\)
−0.929789 + 0.368093i \(0.880011\pi\)
\(20\) 2.19836 0.408913i 0.491568 0.0914358i
\(21\) −3.52813 + 5.25158i −0.769900 + 1.14599i
\(22\) 1.51332 0.239686i 0.322640 0.0511012i
\(23\) −2.88760 5.66723i −0.602105 1.18170i −0.967978 0.251034i \(-0.919230\pi\)
0.365873 0.930665i \(-0.380770\pi\)
\(24\) 0.0636485 + 1.73088i 0.0129922 + 0.353315i
\(25\) 0.268140 + 4.99280i 0.0536279 + 0.998561i
\(26\) 5.03290i 0.987033i
\(27\) −4.34209 + 2.85416i −0.835636 + 0.549283i
\(28\) −0.571409 3.60774i −0.107986 0.681798i
\(29\) 5.64831 + 4.10373i 1.04886 + 0.762044i 0.971996 0.234997i \(-0.0755080\pi\)
0.0768679 + 0.997041i \(0.475508\pi\)
\(30\) −3.85607 0.361585i −0.704018 0.0660161i
\(31\) −5.95310 + 4.32518i −1.06921 + 0.776825i −0.975770 0.218800i \(-0.929786\pi\)
−0.0934378 + 0.995625i \(0.529786\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −2.63463 0.318547i −0.458630 0.0554520i
\(34\) −4.90472 + 1.59364i −0.841152 + 0.273307i
\(35\) 8.16476 0.219087i 1.38010 0.0370325i
\(36\) 0.714995 2.91355i 0.119166 0.485592i
\(37\) −6.84089 3.48561i −1.12464 0.573031i −0.210158 0.977667i \(-0.567398\pi\)
−0.914477 + 0.404637i \(0.867398\pi\)
\(38\) −1.93198 0.984395i −0.313409 0.159690i
\(39\) 2.38730 8.38398i 0.382274 1.34251i
\(40\) 1.77311 1.36238i 0.280353 0.215411i
\(41\) 2.85939 0.929072i 0.446562 0.145097i −0.0770993 0.997023i \(-0.524566\pi\)
0.523661 + 0.851927i \(0.324566\pi\)
\(42\) −0.759414 + 6.28093i −0.117180 + 0.969168i
\(43\) 3.24693 + 3.24693i 0.495151 + 0.495151i 0.909925 0.414773i \(-0.136139\pi\)
−0.414773 + 0.909925i \(0.636139\pi\)
\(44\) 1.23956 0.900593i 0.186871 0.135770i
\(45\) 6.25205 + 2.43142i 0.932001 + 0.362455i
\(46\) −5.14573 3.73859i −0.758697 0.551226i
\(47\) −0.446195 2.81716i −0.0650842 0.410925i −0.998624 0.0524505i \(-0.983297\pi\)
0.933539 0.358475i \(-0.116703\pi\)
\(48\) 0.842515 + 1.51333i 0.121607 + 0.218430i
\(49\) 6.34226i 0.906037i
\(50\) 2.50560 + 4.32689i 0.354345 + 0.611914i
\(51\) 8.92637 0.328243i 1.24994 0.0459632i
\(52\) 2.28489 + 4.48435i 0.316857 + 0.621867i
\(53\) −1.02055 + 0.161639i −0.140183 + 0.0222028i −0.226131 0.974097i \(-0.572608\pi\)
0.0859487 + 0.996300i \(0.472608\pi\)
\(54\) −2.57307 + 4.51434i −0.350151 + 0.614324i
\(55\) 1.63672 + 3.00982i 0.220696 + 0.405844i
\(56\) −2.14701 2.95510i −0.286906 0.394892i
\(57\) 2.75143 + 2.55625i 0.364436 + 0.338584i
\(58\) 6.89573 + 1.09218i 0.905454 + 0.143410i
\(59\) −2.10801 6.48779i −0.274439 0.844638i −0.989367 0.145439i \(-0.953540\pi\)
0.714928 0.699198i \(-0.246460\pi\)
\(60\) −3.59994 + 1.42844i −0.464750 + 0.184411i
\(61\) 1.78395 5.49044i 0.228412 0.702979i −0.769516 0.638628i \(-0.779502\pi\)
0.997927 0.0643507i \(-0.0204976\pi\)
\(62\) −3.34066 + 6.55641i −0.424264 + 0.832665i
\(63\) 4.24434 10.1028i 0.534737 1.27283i
\(64\) −0.951057 0.309017i −0.118882 0.0386271i
\(65\) −10.6060 + 3.76349i −1.31551 + 0.466804i
\(66\) −2.49209 + 0.912268i −0.306755 + 0.112292i
\(67\) −0.527466 + 3.33029i −0.0644402 + 0.406859i 0.934291 + 0.356510i \(0.116033\pi\)
−0.998732 + 0.0503493i \(0.983967\pi\)
\(68\) −3.64664 + 3.64664i −0.442220 + 0.442220i
\(69\) 6.79858 + 8.66870i 0.818453 + 1.04359i
\(70\) 7.17539 3.90193i 0.857623 0.466370i
\(71\) −2.18090 + 3.00175i −0.258825 + 0.356242i −0.918578 0.395241i \(-0.870661\pi\)
0.659752 + 0.751483i \(0.270661\pi\)
\(72\) −0.685659 2.92059i −0.0808057 0.344195i
\(73\) −0.531390 + 0.270757i −0.0621945 + 0.0316897i −0.484811 0.874619i \(-0.661112\pi\)
0.422617 + 0.906309i \(0.361112\pi\)
\(74\) −7.67771 −0.892516
\(75\) −2.12150 8.39638i −0.244970 0.969531i
\(76\) −2.16832 −0.248723
\(77\) 4.98661 2.54081i 0.568277 0.289552i
\(78\) −1.67915 8.55399i −0.190126 0.968549i
\(79\) −0.782199 + 1.07660i −0.0880042 + 0.121127i −0.850749 0.525572i \(-0.823851\pi\)
0.762745 + 0.646700i \(0.223851\pi\)
\(80\) 0.961346 2.01886i 0.107482 0.225716i
\(81\) 6.42764 6.29964i 0.714182 0.699960i
\(82\) 2.12595 2.12595i 0.234771 0.234771i
\(83\) −0.432953 + 2.73356i −0.0475228 + 0.300047i −0.999989 0.00459575i \(-0.998537\pi\)
0.952467 + 0.304643i \(0.0985371\pi\)
\(84\) 2.17484 + 5.94112i 0.237294 + 0.648229i
\(85\) −7.02596 9.14415i −0.762072 0.991823i
\(86\) 4.36710 + 1.41896i 0.470917 + 0.153010i
\(87\) −10.9691 5.09030i −1.17601 0.545737i
\(88\) 0.695596 1.36518i 0.0741507 0.145529i
\(89\) −1.98939 + 6.12272i −0.210875 + 0.649007i 0.788546 + 0.614976i \(0.210834\pi\)
−0.999421 + 0.0340306i \(0.989166\pi\)
\(90\) 6.67446 0.671961i 0.703550 0.0708309i
\(91\) 5.68088 + 17.4839i 0.595518 + 1.83282i
\(92\) −6.28217 0.994998i −0.654961 0.103736i
\(93\) 8.67494 9.33729i 0.899549 0.968232i
\(94\) −1.67653 2.30754i −0.172921 0.238005i
\(95\) 0.629747 4.80743i 0.0646107 0.493232i
\(96\) 1.43772 + 0.965894i 0.146737 + 0.0985811i
\(97\) 13.5156 2.14067i 1.37230 0.217352i 0.573630 0.819114i \(-0.305535\pi\)
0.798675 + 0.601763i \(0.205535\pi\)
\(98\) −2.87933 5.65100i −0.290856 0.570837i
\(99\) 4.58413 0.337594i 0.460722 0.0339295i
\(100\) 4.19687 + 2.71777i 0.419687 + 0.271777i
\(101\) 0.146560i 0.0145833i 0.999973 + 0.00729163i \(0.00232102\pi\)
−0.999973 + 0.00729163i \(0.997679\pi\)
\(102\) 7.80443 4.34495i 0.772754 0.430214i
\(103\) 2.44405 + 15.4311i 0.240819 + 1.52047i 0.750939 + 0.660371i \(0.229601\pi\)
−0.510120 + 0.860103i \(0.670399\pi\)
\(104\) 4.07170 + 2.95827i 0.399263 + 0.290082i
\(105\) −13.8038 + 3.09641i −1.34712 + 0.302178i
\(106\) −0.835930 + 0.607339i −0.0811927 + 0.0589900i
\(107\) 1.77141 + 1.77141i 0.171249 + 0.171249i 0.787528 0.616279i \(-0.211361\pi\)
−0.616279 + 0.787528i \(0.711361\pi\)
\(108\) −0.243156 + 5.19046i −0.0233977 + 0.499452i
\(109\) 7.65945 2.48870i 0.733642 0.238375i 0.0817142 0.996656i \(-0.473961\pi\)
0.651928 + 0.758281i \(0.273961\pi\)
\(110\) 2.82476 + 1.93872i 0.269330 + 0.184849i
\(111\) 12.7898 + 3.64183i 1.21395 + 0.345668i
\(112\) −3.25458 1.65829i −0.307529 0.156694i
\(113\) 9.66667 + 4.92541i 0.909364 + 0.463344i 0.845112 0.534590i \(-0.179534\pi\)
0.0642521 + 0.997934i \(0.479534\pi\)
\(114\) 3.61206 + 1.02852i 0.338300 + 0.0963293i
\(115\) 4.03057 13.6394i 0.375853 1.27188i
\(116\) 6.63998 2.15746i 0.616507 0.200315i
\(117\) −1.26030 + 15.0460i −0.116515 + 1.39100i
\(118\) −4.82364 4.82364i −0.444052 0.444052i
\(119\) −15.2398 + 11.0724i −1.39703 + 1.01500i
\(120\) −2.55907 + 2.90709i −0.233610 + 0.265380i
\(121\) −6.99996 5.08577i −0.636360 0.462342i
\(122\) −0.903094 5.70191i −0.0817623 0.516227i
\(123\) −4.54989 + 2.53305i −0.410250 + 0.228398i
\(124\) 7.35843i 0.660807i
\(125\) −7.24454 + 8.51567i −0.647971 + 0.761665i
\(126\) −0.804822 10.9285i −0.0716992 0.973590i
\(127\) −8.38871 16.4638i −0.744378 1.46092i −0.882403 0.470495i \(-0.844075\pi\)
0.138025 0.990429i \(-0.455925\pi\)
\(128\) −0.987688 + 0.156434i −0.0873001 + 0.0138270i
\(129\) −6.60181 4.43523i −0.581257 0.390501i
\(130\) −7.74140 + 8.16831i −0.678965 + 0.716408i
\(131\) −7.79711 10.7318i −0.681236 0.937641i 0.318712 0.947852i \(-0.396750\pi\)
−0.999948 + 0.0102104i \(0.996750\pi\)
\(132\) −1.80631 + 1.94422i −0.157219 + 0.169223i
\(133\) −7.82271 1.23900i −0.678315 0.107435i
\(134\) 1.04194 + 3.20677i 0.0900102 + 0.277023i
\(135\) −11.4373 2.04658i −0.984365 0.176141i
\(136\) −1.59364 + 4.90472i −0.136653 + 0.420576i
\(137\) 4.43133 8.69698i 0.378594 0.743033i −0.620560 0.784159i \(-0.713095\pi\)
0.999154 + 0.0411262i \(0.0130946\pi\)
\(138\) 9.99308 + 4.63737i 0.850668 + 0.394760i
\(139\) −4.61980 1.50106i −0.391846 0.127319i 0.106466 0.994316i \(-0.466047\pi\)
−0.498312 + 0.866998i \(0.666047\pi\)
\(140\) 4.62188 6.73421i 0.390620 0.569144i
\(141\) 1.69826 + 4.63922i 0.143019 + 0.390693i
\(142\) −0.580430 + 3.66469i −0.0487086 + 0.307534i
\(143\) −5.45272 + 5.45272i −0.455980 + 0.455980i
\(144\) −1.93685 2.29099i −0.161404 0.190915i
\(145\) 2.85491 + 15.3483i 0.237087 + 1.27460i
\(146\) −0.350551 + 0.482492i −0.0290118 + 0.0399313i
\(147\) 2.11600 + 10.7794i 0.174524 + 0.889070i
\(148\) −6.84089 + 3.48561i −0.562318 + 0.286515i
\(149\) 6.55688 0.537160 0.268580 0.963257i \(-0.413446\pi\)
0.268580 + 0.963257i \(0.413446\pi\)
\(150\) −5.70215 6.51809i −0.465579 0.532200i
\(151\) 1.06618 0.0867647 0.0433824 0.999059i \(-0.486187\pi\)
0.0433824 + 0.999059i \(0.486187\pi\)
\(152\) −1.93198 + 0.984395i −0.156705 + 0.0798450i
\(153\) −15.0619 + 3.53603i −1.21768 + 0.285871i
\(154\) 3.28960 4.52775i 0.265084 0.364856i
\(155\) −16.3146 2.13712i −1.31042 0.171657i
\(156\) −5.37956 6.85934i −0.430710 0.549187i
\(157\) 15.3342 15.3342i 1.22380 1.22380i 0.257528 0.966271i \(-0.417092\pi\)
0.966271 0.257528i \(-0.0829078\pi\)
\(158\) −0.208176 + 1.31437i −0.0165616 + 0.104566i
\(159\) 1.68061 0.615212i 0.133281 0.0487895i
\(160\) −0.0599794 2.23526i −0.00474179 0.176713i
\(161\) −22.0958 7.17938i −1.74140 0.565814i
\(162\) 2.86709 8.53111i 0.225260 0.670267i
\(163\) −4.66780 + 9.16108i −0.365610 + 0.717551i −0.998386 0.0567839i \(-0.981915\pi\)
0.632776 + 0.774335i \(0.281915\pi\)
\(164\) 0.929072 2.85939i 0.0725483 0.223281i
\(165\) −3.78598 4.56947i −0.294738 0.355733i
\(166\) 0.855246 + 2.63218i 0.0663800 + 0.204297i
\(167\) 23.8000 + 3.76955i 1.84170 + 0.291697i 0.977419 0.211311i \(-0.0677733\pi\)
0.864282 + 0.503008i \(0.167773\pi\)
\(168\) 4.63501 + 4.30622i 0.357598 + 0.332232i
\(169\) −7.24745 9.97526i −0.557496 0.767327i
\(170\) −10.4115 4.95778i −0.798528 0.380244i
\(171\) −5.52922 3.42667i −0.422830 0.262044i
\(172\) 4.53531 0.718323i 0.345814 0.0547716i
\(173\) 10.9010 + 21.3945i 0.828791 + 1.62659i 0.778319 + 0.627869i \(0.216072\pi\)
0.0504717 + 0.998725i \(0.483928\pi\)
\(174\) −12.0845 + 0.444374i −0.916122 + 0.0336879i
\(175\) 13.5882 + 12.2031i 1.02717 + 0.922469i
\(176\) 1.53218i 0.115492i
\(177\) 5.74735 + 10.3234i 0.431997 + 0.775956i
\(178\) 1.00709 + 6.35855i 0.0754849 + 0.476593i
\(179\) −3.64757 2.65012i −0.272632 0.198079i 0.443065 0.896489i \(-0.353891\pi\)
−0.715697 + 0.698410i \(0.753891\pi\)
\(180\) 5.64193 3.62886i 0.420524 0.270480i
\(181\) −11.4405 + 8.31202i −0.850367 + 0.617828i −0.925247 0.379365i \(-0.876143\pi\)
0.0748802 + 0.997193i \(0.476143\pi\)
\(182\) 12.9992 + 12.9992i 0.963568 + 0.963568i
\(183\) −1.20023 + 9.92681i −0.0887236 + 0.733811i
\(184\) −6.04917 + 1.96550i −0.445951 + 0.144898i
\(185\) −5.74123 16.1795i −0.422103 1.18954i
\(186\) 3.49039 12.2579i 0.255928 0.898795i
\(187\) −7.04042 3.58727i −0.514846 0.262327i
\(188\) −2.54140 1.29491i −0.185351 0.0944409i
\(189\) −3.84312 + 18.5869i −0.279546 + 1.35200i
\(190\) −1.62142 4.56935i −0.117630 0.331496i
\(191\) 12.1952 3.96247i 0.882416 0.286714i 0.167456 0.985880i \(-0.446445\pi\)
0.714960 + 0.699165i \(0.246445\pi\)
\(192\) 1.71953 + 0.207905i 0.124096 + 0.0150042i
\(193\) −9.89879 9.89879i −0.712531 0.712531i 0.254533 0.967064i \(-0.418078\pi\)
−0.967064 + 0.254533i \(0.918078\pi\)
\(194\) 11.0707 8.04332i 0.794828 0.577477i
\(195\) 16.7704 9.93500i 1.20096 0.711460i
\(196\) −5.13100 3.72789i −0.366500 0.266278i
\(197\) 1.06492 + 6.72363i 0.0758723 + 0.479039i 0.996142 + 0.0877545i \(0.0279691\pi\)
−0.920270 + 0.391284i \(0.872031\pi\)
\(198\) 3.93122 2.38195i 0.279380 0.169278i
\(199\) 5.40490i 0.383143i 0.981479 + 0.191572i \(0.0613585\pi\)
−0.981479 + 0.191572i \(0.938642\pi\)
\(200\) 4.97328 + 0.516208i 0.351664 + 0.0365014i
\(201\) −0.214610 5.83618i −0.0151374 0.411653i
\(202\) 0.0665368 + 0.130586i 0.00468151 + 0.00918799i
\(203\) 25.1881 3.98940i 1.76786 0.280001i
\(204\) 4.98123 7.41452i 0.348756 0.519120i
\(205\) 6.06980 + 2.89033i 0.423933 + 0.201869i
\(206\) 9.18325 + 12.6397i 0.639827 + 0.880647i
\(207\) −14.4471 12.4652i −1.00415 0.866391i
\(208\) 4.97094 + 0.787319i 0.344673 + 0.0545908i
\(209\) −1.02663 3.15965i −0.0710137 0.218558i
\(210\) −10.8936 + 9.02573i −0.751728 + 0.622835i
\(211\) 3.95464 12.1711i 0.272249 0.837896i −0.717685 0.696368i \(-0.754798\pi\)
0.989934 0.141529i \(-0.0452017\pi\)
\(212\) −0.469093 + 0.920647i −0.0322175 + 0.0632303i
\(213\) 2.70520 5.82944i 0.185357 0.399427i
\(214\) 2.38255 + 0.774136i 0.162868 + 0.0529189i
\(215\) 0.275416 + 10.2640i 0.0187832 + 0.699998i
\(216\) 2.13977 + 4.73512i 0.145593 + 0.322184i
\(217\) −4.20467 + 26.5473i −0.285432 + 1.80215i
\(218\) 5.69477 5.69477i 0.385698 0.385698i
\(219\) 0.812824 0.637472i 0.0549256 0.0430763i
\(220\) 3.39704 + 0.444993i 0.229028 + 0.0300014i
\(221\) 15.2561 20.9983i 1.02624 1.41250i
\(222\) 13.0491 2.56155i 0.875802 0.171920i
\(223\) 25.8694 13.1811i 1.73234 0.882673i 0.759732 0.650236i \(-0.225330\pi\)
0.972611 0.232437i \(-0.0746699\pi\)
\(224\) −3.65271 −0.244057
\(225\) 6.40706 + 13.5628i 0.427137 + 0.904187i
\(226\) 10.8492 0.721675
\(227\) −3.52093 + 1.79400i −0.233692 + 0.119072i −0.566916 0.823776i \(-0.691864\pi\)
0.333224 + 0.942848i \(0.391864\pi\)
\(228\) 3.68530 0.723425i 0.244065 0.0479100i
\(229\) 7.75981 10.6805i 0.512783 0.705785i −0.471603 0.881811i \(-0.656324\pi\)
0.984386 + 0.176026i \(0.0563243\pi\)
\(230\) −2.60088 13.9826i −0.171497 0.921987i
\(231\) −7.62762 + 5.98209i −0.501860 + 0.393593i
\(232\) 4.93680 4.93680i 0.324117 0.324117i
\(233\) 1.37119 8.65736i 0.0898297 0.567163i −0.901188 0.433429i \(-0.857303\pi\)
0.991017 0.133733i \(-0.0426966\pi\)
\(234\) 5.70781 + 13.9783i 0.373131 + 0.913787i
\(235\) 3.60908 5.25852i 0.235430 0.343028i
\(236\) −6.48779 2.10801i −0.422319 0.137220i
\(237\) 0.970244 2.09078i 0.0630241 0.135811i
\(238\) −8.55203 + 16.7843i −0.554345 + 1.08796i
\(239\) −5.85405 + 18.0169i −0.378667 + 1.16542i 0.562305 + 0.826930i \(0.309915\pi\)
−0.940971 + 0.338486i \(0.890085\pi\)
\(240\) −0.960355 + 3.75203i −0.0619907 + 0.242192i
\(241\) −7.26464 22.3583i −0.467957 1.44022i −0.855226 0.518256i \(-0.826582\pi\)
0.387269 0.921967i \(-0.373418\pi\)
\(242\) −8.54590 1.35354i −0.549351 0.0870087i
\(243\) −8.82273 + 12.8514i −0.565978 + 0.824420i
\(244\) −3.39328 4.67045i −0.217232 0.298995i
\(245\) 9.75540 10.2934i 0.623250 0.657620i
\(246\) −2.90400 + 4.32257i −0.185152 + 0.275597i
\(247\) 10.7786 1.70716i 0.685824 0.108624i
\(248\) 3.34066 + 6.55641i 0.212132 + 0.416332i
\(249\) −0.176156 4.79044i −0.0111634 0.303582i
\(250\) −2.58890 + 10.8765i −0.163736 + 0.687888i
\(251\) 13.6488i 0.861504i 0.902470 + 0.430752i \(0.141752\pi\)
−0.902470 + 0.430752i \(0.858248\pi\)
\(252\) −5.67855 9.37200i −0.357715 0.590381i
\(253\) −1.52452 9.62542i −0.0958455 0.605145i
\(254\) −14.9488 10.8609i −0.937971 0.681476i
\(255\) 14.9922 + 13.1974i 0.938849 + 0.826455i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −14.2769 14.2769i −0.890571 0.890571i 0.104006 0.994577i \(-0.466834\pi\)
−0.994577 + 0.104006i \(0.966834\pi\)
\(258\) −7.89581 0.954666i −0.491571 0.0594349i
\(259\) −26.6718 + 8.66620i −1.65731 + 0.538492i
\(260\) −3.18930 + 10.7925i −0.197792 + 0.669325i
\(261\) 20.3415 + 4.99188i 1.25911 + 0.308989i
\(262\) −11.8194 6.02229i −0.730205 0.372058i
\(263\) −14.5181 7.39734i −0.895224 0.456139i −0.0550670 0.998483i \(-0.517537\pi\)
−0.840157 + 0.542343i \(0.817537\pi\)
\(264\) −0.726772 + 2.55236i −0.0447297 + 0.157087i
\(265\) −1.90495 1.30742i −0.117020 0.0803144i
\(266\) −7.53258 + 2.44748i −0.461852 + 0.150065i
\(267\) 1.33845 11.0700i 0.0819118 0.677472i
\(268\) 2.38422 + 2.38422i 0.145640 + 0.145640i
\(269\) 8.83824 6.42136i 0.538877 0.391517i −0.284791 0.958590i \(-0.591924\pi\)
0.823668 + 0.567073i \(0.191924\pi\)
\(270\) −11.1198 + 3.36890i −0.676731 + 0.205025i
\(271\) −2.71650 1.97365i −0.165016 0.119891i 0.502213 0.864744i \(-0.332519\pi\)
−0.667228 + 0.744853i \(0.732519\pi\)
\(272\) 0.806752 + 5.09363i 0.0489165 + 0.308847i
\(273\) −15.4885 27.8206i −0.937409 1.68378i
\(274\) 9.76085i 0.589674i
\(275\) −1.97321 + 7.40242i −0.118989 + 0.446383i
\(276\) 11.0092 0.404835i 0.662678 0.0243682i
\(277\) 12.7426 + 25.0088i 0.765631 + 1.50263i 0.861788 + 0.507269i \(0.169345\pi\)
−0.0961574 + 0.995366i \(0.530655\pi\)
\(278\) −4.79774 + 0.759888i −0.287749 + 0.0455750i
\(279\) −11.6288 + 18.7640i −0.696198 + 1.12337i
\(280\) 1.06086 8.09851i 0.0633985 0.483979i
\(281\) 0.417572 + 0.574739i 0.0249103 + 0.0342861i 0.821290 0.570510i \(-0.193255\pi\)
−0.796380 + 0.604796i \(0.793255\pi\)
\(282\) 3.61933 + 3.36258i 0.215528 + 0.200239i
\(283\) 9.10320 + 1.44181i 0.541129 + 0.0857064i 0.421015 0.907054i \(-0.361674\pi\)
0.120114 + 0.992760i \(0.461674\pi\)
\(284\) 1.14657 + 3.52877i 0.0680363 + 0.209394i
\(285\) 0.533598 + 8.38089i 0.0316076 + 0.496441i
\(286\) −2.38293 + 7.33390i −0.140905 + 0.433662i
\(287\) 4.98573 9.78504i 0.294298 0.577593i
\(288\) −2.76583 1.16197i −0.162978 0.0684699i
\(289\) 9.12626 + 2.96530i 0.536839 + 0.174430i
\(290\) 9.51171 + 12.3793i 0.558547 + 0.726938i
\(291\) −22.2572 + 8.14759i −1.30474 + 0.477620i
\(292\) −0.0932964 + 0.589050i −0.00545976 + 0.0344716i
\(293\) 1.97743 1.97743i 0.115523 0.115523i −0.646982 0.762505i \(-0.723969\pi\)
0.762505 + 0.646982i \(0.223969\pi\)
\(294\) 6.77911 + 8.64387i 0.395366 + 0.504121i
\(295\) 6.55798 13.7720i 0.381820 0.801837i
\(296\) −4.51285 + 6.21140i −0.262304 + 0.361030i
\(297\) −7.67862 + 2.10320i −0.445559 + 0.122040i
\(298\) 5.84222 2.97676i 0.338431 0.172439i
\(299\) 32.0116 1.85128
\(300\) −8.03980 3.21894i −0.464178 0.185845i
\(301\) 16.7727 0.966760
\(302\) 0.949976 0.484037i 0.0546650 0.0278532i
\(303\) −0.0488974 0.249095i −0.00280908 0.0143102i
\(304\) −1.27450 + 1.75421i −0.0730979 + 0.100611i
\(305\) 11.3405 6.16688i 0.649354 0.353115i
\(306\) −11.8149 + 9.98857i −0.675413 + 0.571008i
\(307\) −11.7511 + 11.7511i −0.670673 + 0.670673i −0.957871 0.287198i \(-0.907276\pi\)
0.287198 + 0.957871i \(0.407276\pi\)
\(308\) 0.875502 5.52770i 0.0498864 0.314970i
\(309\) −9.30230 25.4115i −0.529189 1.44561i
\(310\) −15.5066 + 5.50247i −0.880717 + 0.312520i
\(311\) −3.30339 1.07334i −0.187318 0.0608633i 0.213856 0.976865i \(-0.431398\pi\)
−0.401174 + 0.916002i \(0.631398\pi\)
\(312\) −7.90730 3.66945i −0.447663 0.207742i
\(313\) 3.85400 7.56390i 0.217841 0.427537i −0.756063 0.654499i \(-0.772879\pi\)
0.973904 + 0.226962i \(0.0728795\pi\)
\(314\) 6.70127 20.6244i 0.378175 1.16390i
\(315\) 22.4281 9.86813i 1.26368 0.556006i
\(316\) 0.411226 + 1.26562i 0.0231333 + 0.0711969i
\(317\) 9.73906 + 1.54252i 0.547000 + 0.0866363i 0.423817 0.905748i \(-0.360690\pi\)
0.123183 + 0.992384i \(0.460690\pi\)
\(318\) 1.21813 1.31114i 0.0683093 0.0735249i
\(319\) 6.28766 + 8.65423i 0.352042 + 0.484544i
\(320\) −1.06823 1.96440i −0.0597159 0.109814i
\(321\) −3.60172 2.41972i −0.201029 0.135055i
\(322\) −22.9469 + 3.63443i −1.27878 + 0.202539i
\(323\) 5.07665 + 9.96348i 0.282472 + 0.554383i
\(324\) −1.31844 8.90290i −0.0732469 0.494606i
\(325\) −23.0021 10.2056i −1.27593 0.566103i
\(326\) 10.2817i 0.569452i
\(327\) −12.1878 + 6.78529i −0.673986 + 0.375227i
\(328\) −0.470327 2.96952i −0.0259694 0.163965i
\(329\) −8.42877 6.12386i −0.464693 0.337619i
\(330\) −5.44783 2.35263i −0.299893 0.129508i
\(331\) −13.3891 + 9.72777i −0.735933 + 0.534687i −0.891435 0.453149i \(-0.850301\pi\)
0.155502 + 0.987836i \(0.450301\pi\)
\(332\) 1.95701 + 1.95701i 0.107405 + 0.107405i
\(333\) −22.9528 1.92260i −1.25780 0.105358i
\(334\) 22.9173 7.44629i 1.25398 0.407443i
\(335\) −5.97858 + 4.59367i −0.326644 + 0.250979i
\(336\) 6.08480 + 1.73262i 0.331953 + 0.0945221i
\(337\) −23.3624 11.9038i −1.27263 0.648439i −0.318528 0.947913i \(-0.603189\pi\)
−0.954104 + 0.299475i \(0.903189\pi\)
\(338\) −10.9862 5.59775i −0.597570 0.304477i
\(339\) −18.0729 5.14617i −0.981585 0.279502i
\(340\) −11.5275 + 0.309321i −0.625168 + 0.0167753i
\(341\) −10.7226 + 3.48400i −0.580663 + 0.188669i
\(342\) −6.48225 0.542974i −0.350520 0.0293607i
\(343\) 1.69884 + 1.69884i 0.0917290 + 0.0917290i
\(344\) 3.71488 2.69902i 0.200293 0.145521i
\(345\) −2.29985 + 24.5264i −0.123820 + 1.32046i
\(346\) 19.4258 + 14.1137i 1.04434 + 0.758756i
\(347\) 1.86187 + 11.7554i 0.0999502 + 0.631061i 0.985907 + 0.167293i \(0.0535027\pi\)
−0.885957 + 0.463768i \(0.846497\pi\)
\(348\) −10.5656 + 5.88218i −0.566376 + 0.315318i
\(349\) 25.4721i 1.36349i 0.731591 + 0.681744i \(0.238778\pi\)
−0.731591 + 0.681744i \(0.761222\pi\)
\(350\) 17.6473 + 4.70412i 0.943289 + 0.251446i
\(351\) −2.87784 25.9929i −0.153608 1.38740i
\(352\) −0.695596 1.36518i −0.0370754 0.0727645i
\(353\) −8.69825 + 1.37767i −0.462961 + 0.0733258i −0.383558 0.923517i \(-0.625301\pi\)
−0.0794030 + 0.996843i \(0.525301\pi\)
\(354\) 9.80767 + 6.58900i 0.521272 + 0.350201i
\(355\) −8.15673 + 1.51722i −0.432914 + 0.0805256i
\(356\) 3.78405 + 5.20829i 0.200554 + 0.276039i
\(357\) 22.2077 23.9033i 1.17536 1.26510i
\(358\) −4.45314 0.705308i −0.235356 0.0372767i
\(359\) −2.11987 6.52428i −0.111882 0.344338i 0.879402 0.476080i \(-0.157943\pi\)
−0.991284 + 0.131742i \(0.957943\pi\)
\(360\) 3.37952 5.79472i 0.178117 0.305409i
\(361\) 4.41845 13.5986i 0.232550 0.715715i
\(362\) −6.42000 + 12.6000i −0.337428 + 0.662239i
\(363\) 13.5940 + 6.30841i 0.713500 + 0.331106i
\(364\) 17.4839 + 5.68088i 0.916408 + 0.297759i
\(365\) −1.27890 0.377928i −0.0669408 0.0197817i
\(366\) 3.43727 + 9.38975i 0.179669 + 0.490810i
\(367\) −2.31983 + 14.6468i −0.121094 + 0.764559i 0.850162 + 0.526522i \(0.176504\pi\)
−0.971256 + 0.238038i \(0.923496\pi\)
\(368\) −4.49754 + 4.49754i −0.234450 + 0.234450i
\(369\) 6.88794 5.82321i 0.358572 0.303144i
\(370\) −12.4608 11.8095i −0.647806 0.613949i
\(371\) −2.21843 + 3.05341i −0.115175 + 0.158525i
\(372\) −2.45502 12.5065i −0.127287 0.648431i
\(373\) −15.4140 + 7.85384i −0.798108 + 0.406656i −0.804967 0.593320i \(-0.797817\pi\)
0.00685847 + 0.999976i \(0.497817\pi\)
\(374\) −7.90165 −0.408584
\(375\) 9.47180 16.8904i 0.489122 0.872216i
\(376\) −2.85228 −0.147095
\(377\) −31.3083 + 15.9524i −1.61246 + 0.821590i
\(378\) 5.01402 + 18.3058i 0.257893 + 0.941546i
\(379\) −3.34257 + 4.60065i −0.171696 + 0.236319i −0.886190 0.463323i \(-0.846657\pi\)
0.714494 + 0.699642i \(0.246657\pi\)
\(380\) −3.51914 3.33521i −0.180528 0.171093i
\(381\) 19.7505 + 25.1833i 1.01185 + 1.29018i
\(382\) 9.06711 9.06711i 0.463914 0.463914i
\(383\) 4.74888 29.9833i 0.242657 1.53207i −0.502143 0.864785i \(-0.667455\pi\)
0.744799 0.667289i \(-0.232545\pi\)
\(384\) 1.62650 0.595405i 0.0830018 0.0303841i
\(385\) 12.0013 + 3.54652i 0.611645 + 0.180747i
\(386\) −13.3138 4.32593i −0.677657 0.220184i
\(387\) 12.7003 + 5.33560i 0.645591 + 0.271224i
\(388\) 6.21246 12.1926i 0.315390 0.618987i
\(389\) −0.407506 + 1.25417i −0.0206613 + 0.0635891i −0.960856 0.277050i \(-0.910643\pi\)
0.940194 + 0.340639i \(0.110643\pi\)
\(390\) 10.4322 16.4658i 0.528253 0.833776i
\(391\) 10.1363 + 31.1963i 0.512615 + 1.57767i
\(392\) −6.26418 0.992148i −0.316389 0.0501110i
\(393\) 16.8326 + 15.6385i 0.849091 + 0.788860i
\(394\) 4.00131 + 5.50734i 0.201583 + 0.277456i
\(395\) −2.92548 + 0.544164i −0.147197 + 0.0273798i
\(396\) 2.42136 3.90707i 0.121678 0.196338i
\(397\) 10.9634 1.73643i 0.550238 0.0871491i 0.124876 0.992172i \(-0.460147\pi\)
0.425362 + 0.905023i \(0.360147\pi\)
\(398\) 2.45377 + 4.81580i 0.122997 + 0.241394i
\(399\) 13.7090 0.504110i 0.686307 0.0252371i
\(400\) 4.66558 1.79788i 0.233279 0.0898939i
\(401\) 38.4533i 1.92026i 0.279545 + 0.960132i \(0.409816\pi\)
−0.279545 + 0.960132i \(0.590184\pi\)
\(402\) −2.84079 5.10265i −0.141686 0.254497i
\(403\) −5.79343 36.5783i −0.288591 1.82209i
\(404\) 0.118569 + 0.0861458i 0.00589905 + 0.00428591i
\(405\) 20.1218 0.337476i 0.999859 0.0167693i
\(406\) 20.6316 14.9897i 1.02393 0.743928i
\(407\) −8.31815 8.31815i −0.412316 0.412316i
\(408\) 1.07219 8.86782i 0.0530813 0.439022i
\(409\) 10.8096 3.51227i 0.534502 0.173670i −0.0293144 0.999570i \(-0.509332\pi\)
0.563817 + 0.825900i \(0.309332\pi\)
\(410\) 6.72041 0.180331i 0.331897 0.00890589i
\(411\) −4.62994 + 16.2600i −0.228378 + 0.802044i
\(412\) 13.9206 + 7.09291i 0.685820 + 0.349443i
\(413\) −22.2017 11.3123i −1.09247 0.556643i
\(414\) −18.5316 4.54771i −0.910777 0.223508i
\(415\) −4.90732 + 3.77057i −0.240891 + 0.185090i
\(416\) 4.78657 1.55525i 0.234681 0.0762525i
\(417\) 8.35269 + 1.00991i 0.409033 + 0.0494553i
\(418\) −2.34919 2.34919i −0.114903 0.114903i
\(419\) −4.06691 + 2.95479i −0.198682 + 0.144351i −0.682678 0.730719i \(-0.739185\pi\)
0.483996 + 0.875070i \(0.339185\pi\)
\(420\) −5.60865 + 12.9876i −0.273674 + 0.633728i
\(421\) −7.36850 5.35353i −0.359119 0.260915i 0.393566 0.919296i \(-0.371241\pi\)
−0.752684 + 0.658382i \(0.771241\pi\)
\(422\) −2.00197 12.6399i −0.0974544 0.615303i
\(423\) −4.43419 7.31829i −0.215598 0.355828i
\(424\) 1.03327i 0.0501799i
\(425\) 2.66215 25.6478i 0.129133 1.24410i
\(426\) −0.236159 6.42221i −0.0114420 0.311157i
\(427\) −9.57331 18.7887i −0.463285 0.909248i
\(428\) 2.47432 0.391893i 0.119601 0.0189429i
\(429\) 7.44831 11.0867i 0.359608 0.535273i
\(430\) 4.90515 + 9.02024i 0.236547 + 0.434995i
\(431\) 14.5495 + 20.0257i 0.700824 + 0.964602i 0.999946 + 0.0103868i \(0.00330628\pi\)
−0.299122 + 0.954215i \(0.596694\pi\)
\(432\) 4.05625 + 3.24759i 0.195156 + 0.156250i
\(433\) 21.9052 + 3.46945i 1.05270 + 0.166731i 0.658720 0.752388i \(-0.271098\pi\)
0.393979 + 0.919119i \(0.371098\pi\)
\(434\) 8.30582 + 25.5627i 0.398692 + 1.22705i
\(435\) −9.97295 25.1336i −0.478166 1.20507i
\(436\) 2.48870 7.65945i 0.119187 0.366821i
\(437\) −6.26122 + 12.2883i −0.299515 + 0.587831i
\(438\) 0.434825 0.937006i 0.0207768 0.0447719i
\(439\) 1.62057 + 0.526555i 0.0773456 + 0.0251311i 0.347434 0.937704i \(-0.387053\pi\)
−0.270089 + 0.962835i \(0.587053\pi\)
\(440\) 3.22881 1.14573i 0.153927 0.0546206i
\(441\) −7.19275 17.6148i −0.342512 0.838802i
\(442\) 4.06030 25.6357i 0.193129 1.21937i
\(443\) −0.713085 + 0.713085i −0.0338797 + 0.0338797i −0.723844 0.689964i \(-0.757626\pi\)
0.689964 + 0.723844i \(0.257626\pi\)
\(444\) 10.4640 8.20655i 0.496598 0.389465i
\(445\) −12.6465 + 6.87706i −0.599499 + 0.326004i
\(446\) 17.0657 23.4889i 0.808085 1.11223i
\(447\) −11.1442 + 2.18760i −0.527101 + 0.103470i
\(448\) −3.25458 + 1.65829i −0.153765 + 0.0783470i
\(449\) 12.4310 0.586657 0.293329 0.956012i \(-0.405237\pi\)
0.293329 + 0.956012i \(0.405237\pi\)
\(450\) 11.8661 + 9.17580i 0.559374 + 0.432551i
\(451\) 4.60656 0.216915
\(452\) 9.66667 4.92541i 0.454682 0.231672i
\(453\) −1.81210 + 0.355715i −0.0851398 + 0.0167130i
\(454\) −2.32271 + 3.19694i −0.109010 + 0.150040i
\(455\) −17.6731 + 37.1142i −0.828528 + 1.73994i
\(456\) 2.95520 2.31767i 0.138390 0.108535i
\(457\) −25.4659 + 25.4659i −1.19125 + 1.19125i −0.214529 + 0.976718i \(0.568822\pi\)
−0.976718 + 0.214529i \(0.931178\pi\)
\(458\) 2.06521 13.0392i 0.0965011 0.609284i
\(459\) 24.4196 11.0350i 1.13981 0.515071i
\(460\) −8.66538 11.2778i −0.404025 0.525832i
\(461\) −34.8009 11.3075i −1.62084 0.526642i −0.648699 0.761045i \(-0.724686\pi\)
−0.972140 + 0.234403i \(0.924686\pi\)
\(462\) −4.08044 + 8.79295i −0.189839 + 0.409085i
\(463\) 3.00399 5.89566i 0.139607 0.273994i −0.810608 0.585589i \(-0.800863\pi\)
0.950215 + 0.311595i \(0.100863\pi\)
\(464\) 2.15746 6.63998i 0.100158 0.308253i
\(465\) 28.4415 1.81082i 1.31894 0.0839749i
\(466\) −2.70862 8.33627i −0.125474 0.386170i
\(467\) −37.7026 5.97151i −1.74467 0.276328i −0.798970 0.601371i \(-0.794621\pi\)
−0.945699 + 0.325043i \(0.894621\pi\)
\(468\) 11.4317 + 9.86343i 0.528430 + 0.455937i
\(469\) 7.23928 + 9.96401i 0.334279 + 0.460095i
\(470\) 0.828391 6.32386i 0.0382108 0.291698i
\(471\) −20.9461 + 31.1781i −0.965147 + 1.43661i
\(472\) −6.73768 + 1.06714i −0.310127 + 0.0491192i
\(473\) 3.19407 + 6.26871i 0.146863 + 0.288236i
\(474\) −0.0847006 2.30338i −0.00389043 0.105798i
\(475\) 8.41666 6.83373i 0.386183 0.313553i
\(476\) 18.8375i 0.863413i
\(477\) −2.65112 + 1.60633i −0.121387 + 0.0735488i
\(478\) 2.96351 + 18.7109i 0.135548 + 0.855815i
\(479\) −9.41843 6.84289i −0.430339 0.312660i 0.351445 0.936208i \(-0.385690\pi\)
−0.781785 + 0.623549i \(0.785690\pi\)
\(480\) 0.847702 + 3.77907i 0.0386921 + 0.172490i
\(481\) 31.2614 22.7127i 1.42540 1.03561i
\(482\) −16.6233 16.6233i −0.757170 0.757170i
\(483\) 39.9497 + 4.83024i 1.81777 + 0.219783i
\(484\) −8.22894 + 2.67375i −0.374043 + 0.121534i
\(485\) 25.2283 + 17.3149i 1.14556 + 0.786230i
\(486\) −2.02668 + 15.4561i −0.0919320 + 0.701105i
\(487\) 31.6495 + 16.1262i 1.43418 + 0.730750i 0.986548 0.163470i \(-0.0522686\pi\)
0.447629 + 0.894219i \(0.352269\pi\)
\(488\) −5.14377 2.62088i −0.232848 0.118642i
\(489\) 4.87701 17.1276i 0.220546 0.774538i
\(490\) 4.01903 13.6003i 0.181561 0.614400i
\(491\) −3.18688 + 1.03548i −0.143822 + 0.0467305i −0.380043 0.924969i \(-0.624091\pi\)
0.236222 + 0.971699i \(0.424091\pi\)
\(492\) −0.625074 + 5.16983i −0.0281805 + 0.233074i
\(493\) −25.4597 25.4597i −1.14665 1.14665i
\(494\) 8.82874 6.41446i 0.397224 0.288600i
\(495\) 7.95923 + 6.50320i 0.357741 + 0.292297i
\(496\) 5.95310 + 4.32518i 0.267302 + 0.194206i
\(497\) 2.12014 + 13.3860i 0.0951012 + 0.600446i
\(498\) −2.33177 4.18834i −0.104489 0.187684i
\(499\) 2.56390i 0.114776i −0.998352 0.0573880i \(-0.981723\pi\)
0.998352 0.0573880i \(-0.0182772\pi\)
\(500\) 2.63109 + 10.8663i 0.117666 + 0.485958i
\(501\) −41.7085 + 1.53372i −1.86340 + 0.0685214i
\(502\) 6.19642 + 12.1612i 0.276560 + 0.542779i
\(503\) 14.3652 2.27523i 0.640515 0.101448i 0.172275 0.985049i \(-0.444888\pi\)
0.468240 + 0.883601i \(0.344888\pi\)
\(504\) −9.31442 5.77251i −0.414897 0.257128i
\(505\) −0.225432 + 0.237864i −0.0100316 + 0.0105848i
\(506\) −5.72820 7.88419i −0.254650 0.350495i
\(507\) 15.6460 + 14.5361i 0.694861 + 0.645570i
\(508\) −18.2502 2.89055i −0.809723 0.128248i
\(509\) −2.88278 8.87228i −0.127777 0.393257i 0.866620 0.498969i \(-0.166288\pi\)
−0.994397 + 0.105712i \(0.966288\pi\)
\(510\) 19.3497 + 4.95267i 0.856818 + 0.219308i
\(511\) −0.673177 + 2.07183i −0.0297796 + 0.0916522i
\(512\) −0.453990 + 0.891007i −0.0200637 + 0.0393773i
\(513\) 10.5408 + 3.97929i 0.465388 + 0.175690i
\(514\) −19.2024 6.23925i −0.846983 0.275202i
\(515\) −19.7689 + 28.8038i −0.871120 + 1.26925i
\(516\) −7.46862 + 2.73401i −0.328788 + 0.120358i
\(517\) 0.683651 4.31640i 0.0300669 0.189835i
\(518\) −19.8304 + 19.8304i −0.871298 + 0.871298i
\(519\) −25.6655 32.7254i −1.12659 1.43649i
\(520\) 2.05802 + 11.0641i 0.0902501 + 0.485194i
\(521\) 19.0337 26.1976i 0.833881 1.14774i −0.153308 0.988179i \(-0.548993\pi\)
0.987188 0.159560i \(-0.0510075\pi\)
\(522\) 20.3907 4.78706i 0.892476 0.209524i
\(523\) −19.7913 + 10.0842i −0.865413 + 0.440950i −0.829567 0.558408i \(-0.811413\pi\)
−0.0358458 + 0.999357i \(0.511413\pi\)
\(524\) −13.2652 −0.579494
\(525\) −27.1662 16.2071i −1.18563 0.707335i
\(526\) −16.2940 −0.710454
\(527\) 33.8122 17.2282i 1.47288 0.750471i
\(528\) 0.511188 + 2.60412i 0.0222466 + 0.113330i
\(529\) −10.2602 + 14.1219i −0.446095 + 0.613997i
\(530\) −2.29088 0.300093i −0.0995096 0.0130352i
\(531\) −13.2125 15.6283i −0.573375 0.678212i
\(532\) −5.60044 + 5.60044i −0.242810 + 0.242810i
\(533\) −2.36711 + 14.9453i −0.102531 + 0.647354i
\(534\) −3.83310 10.4711i −0.165875 0.453128i
\(535\) 0.150258 + 5.59969i 0.00649622 + 0.242096i
\(536\) 3.20677 + 1.04194i 0.138511 + 0.0450051i
\(537\) 7.08363 + 3.28722i 0.305681 + 0.141854i
\(538\) 4.95969 9.73395i 0.213828 0.419660i
\(539\) 3.00287 9.24188i 0.129343 0.398076i
\(540\) −8.37839 + 8.05001i −0.360548 + 0.346417i
\(541\) −0.547811 1.68599i −0.0235522 0.0724863i 0.938590 0.345036i \(-0.112133\pi\)
−0.962142 + 0.272549i \(0.912133\pi\)
\(542\) −3.31644 0.525272i −0.142453 0.0225624i
\(543\) 16.6713 17.9442i 0.715434 0.770058i
\(544\) 3.03128 + 4.17220i 0.129965 + 0.178882i
\(545\) 16.2592 + 7.74232i 0.696466 + 0.331644i
\(546\) −26.4307 17.7567i −1.13113 0.759917i
\(547\) −12.4044 + 1.96467i −0.530376 + 0.0840033i −0.415878 0.909420i \(-0.636526\pi\)
−0.114497 + 0.993424i \(0.536526\pi\)
\(548\) −4.43133 8.69698i −0.189297 0.371517i
\(549\) −1.27200 17.2722i −0.0542875 0.737159i
\(550\) 1.60249 + 7.49143i 0.0683302 + 0.319436i
\(551\) 15.1385i 0.644922i
\(552\) 9.62550 5.35879i 0.409689 0.228085i
\(553\) 0.760406 + 4.80101i 0.0323357 + 0.204160i
\(554\) 22.7075 + 16.4980i 0.964751 + 0.700933i
\(555\) 15.1559 + 25.5834i 0.643332 + 1.08595i
\(556\) −3.92984 + 2.85519i −0.166662 + 0.121087i
\(557\) 19.4225 + 19.4225i 0.822959 + 0.822959i 0.986531 0.163573i \(-0.0523018\pi\)
−0.163573 + 0.986531i \(0.552302\pi\)
\(558\) −1.84265 + 21.9983i −0.0780054 + 0.931260i
\(559\) −21.9792 + 7.14148i −0.929621 + 0.302052i
\(560\) −2.73141 7.69745i −0.115423 0.325276i
\(561\) 13.1628 + 3.74805i 0.555735 + 0.158243i
\(562\) 0.632986 + 0.322522i 0.0267009 + 0.0136048i
\(563\) −22.4447 11.4362i −0.945933 0.481977i −0.0882171 0.996101i \(-0.528117\pi\)
−0.857716 + 0.514125i \(0.828117\pi\)
\(564\) 4.75142 + 1.35295i 0.200071 + 0.0569693i
\(565\) 8.11276 + 22.8627i 0.341307 + 0.961842i
\(566\) 8.76558 2.84811i 0.368445 0.119715i
\(567\) 0.330602 32.8727i 0.0138840 1.38052i
\(568\) 2.62363 + 2.62363i 0.110085 + 0.110085i
\(569\) −24.7435 + 17.9772i −1.03730 + 0.753643i −0.969757 0.244073i \(-0.921516\pi\)
−0.0675439 + 0.997716i \(0.521516\pi\)
\(570\) 4.28028 + 7.22518i 0.179281 + 0.302629i
\(571\) −8.91080 6.47408i −0.372905 0.270932i 0.385509 0.922704i \(-0.374026\pi\)
−0.758415 + 0.651772i \(0.774026\pi\)
\(572\) 1.20632 + 7.61638i 0.0504386 + 0.318457i
\(573\) −19.4052 + 10.8034i −0.810663 + 0.451320i
\(574\) 10.9820i 0.458380i
\(575\) 27.5211 15.9368i 1.14771 0.664611i
\(576\) −2.99190 + 0.220336i −0.124662 + 0.00918066i
\(577\) −1.76187 3.45787i −0.0733478 0.143953i 0.851421 0.524483i \(-0.175741\pi\)
−0.924768 + 0.380530i \(0.875741\pi\)
\(578\) 9.47778 1.50113i 0.394224 0.0624389i
\(579\) 20.1267 + 13.5216i 0.836437 + 0.561937i
\(580\) 14.0951 + 6.71182i 0.585266 + 0.278693i
\(581\) 5.94213 + 8.17864i 0.246521 + 0.339307i
\(582\) −16.1324 + 17.3641i −0.668708 + 0.719765i
\(583\) −1.56366 0.247659i −0.0647602 0.0102570i
\(584\) 0.184296 + 0.567203i 0.00762620 + 0.0234710i
\(585\) −25.1886 + 22.4809i −1.04142 + 0.929469i
\(586\) 0.864170 2.65964i 0.0356985 0.109869i
\(587\) 20.1279 39.5031i 0.830766 1.63047i 0.0558204 0.998441i \(-0.482223\pi\)
0.774945 0.632028i \(-0.217777\pi\)
\(588\) 9.96447 + 4.62409i 0.410928 + 0.190694i
\(589\) 15.1745 + 4.93049i 0.625254 + 0.203157i
\(590\) −0.409159 15.2482i −0.0168448 0.627759i
\(591\) −4.05318 11.0723i −0.166726 0.455453i
\(592\) −1.20106 + 7.58319i −0.0493632 + 0.311667i
\(593\) −11.0677 + 11.0677i −0.454495 + 0.454495i −0.896843 0.442348i \(-0.854145\pi\)
0.442348 + 0.896843i \(0.354145\pi\)
\(594\) −5.88686 + 5.35999i −0.241541 + 0.219923i
\(595\) −41.7650 5.47099i −1.71220 0.224289i
\(596\) 3.85404 5.30463i 0.157868 0.217286i
\(597\) −1.80326 9.18625i −0.0738026 0.375968i
\(598\) 28.5226 14.5330i 1.16638 0.594298i
\(599\) −39.0036 −1.59364 −0.796822 0.604215i \(-0.793487\pi\)
−0.796822 + 0.604215i \(0.793487\pi\)
\(600\) −8.62488 + 0.781902i −0.352109 + 0.0319210i
\(601\) −25.7471 −1.05025 −0.525123 0.851027i \(-0.675981\pi\)
−0.525123 + 0.851027i \(0.675981\pi\)
\(602\) 14.9446 7.61463i 0.609094 0.310349i
\(603\) 2.31190 + 9.84766i 0.0941480 + 0.401028i
\(604\) 0.626686 0.862560i 0.0254995 0.0350971i
\(605\) −3.53809 19.0211i −0.143844 0.773319i
\(606\) −0.156655 0.199747i −0.00636367 0.00811415i
\(607\) −14.3533 + 14.3533i −0.582583 + 0.582583i −0.935612 0.353030i \(-0.885152\pi\)
0.353030 + 0.935612i \(0.385152\pi\)
\(608\) −0.339200 + 2.14162i −0.0137564 + 0.0868542i
\(609\) −41.4790 + 15.1841i −1.68081 + 0.615289i
\(610\) 7.30474 10.6432i 0.295760 0.430931i
\(611\) 13.6526 + 4.43601i 0.552327 + 0.179462i
\(612\) −5.99244 + 14.2637i −0.242230 + 0.576577i
\(613\) −12.7810 + 25.0841i −0.516219 + 1.01314i 0.474885 + 0.880048i \(0.342490\pi\)
−0.991104 + 0.133089i \(0.957510\pi\)
\(614\) −5.13543 + 15.8052i −0.207249 + 0.637848i
\(615\) −11.2806 2.88735i −0.454879 0.116429i
\(616\) −1.72945 5.32269i −0.0696814 0.214457i
\(617\) 22.8131 + 3.61324i 0.918421 + 0.145464i 0.597709 0.801713i \(-0.296078\pi\)
0.320712 + 0.947177i \(0.396078\pi\)
\(618\) −19.8250 18.4187i −0.797479 0.740909i
\(619\) 5.12654 + 7.05608i 0.206053 + 0.283608i 0.899519 0.436882i \(-0.143917\pi\)
−0.693466 + 0.720489i \(0.743917\pi\)
\(620\) −11.3184 + 11.9426i −0.454559 + 0.479626i
\(621\) 28.7134 + 16.3660i 1.15223 + 0.656744i
\(622\) −3.43062 + 0.543357i −0.137555 + 0.0217866i
\(623\) 10.6758 + 20.9524i 0.427716 + 0.839440i
\(624\) −8.71135 + 0.320336i −0.348733 + 0.0128237i
\(625\) −24.8562 + 2.67754i −0.994248 + 0.107102i
\(626\) 8.48916i 0.339295i
\(627\) 2.79905 + 5.02767i 0.111783 + 0.200786i
\(628\) −3.39240 21.4188i −0.135372 0.854702i
\(629\) 32.0330 + 23.2733i 1.27724 + 0.927967i
\(630\) 15.5036 18.9747i 0.617678 0.755972i
\(631\) 20.4095 14.8283i 0.812488 0.590307i −0.102063 0.994778i \(-0.532544\pi\)
0.914551 + 0.404471i \(0.132544\pi\)
\(632\) 0.940986 + 0.940986i 0.0374304 + 0.0374304i
\(633\) −2.66066 + 22.0057i −0.105752 + 0.874646i
\(634\) 9.37785 3.04705i 0.372442 0.121014i
\(635\) 11.7092 39.6236i 0.464664 1.57241i
\(636\) 0.490118 1.72125i 0.0194344 0.0682520i
\(637\) 28.4409 + 14.4914i 1.12687 + 0.574169i
\(638\) 9.53128 + 4.85643i 0.377347 + 0.192268i
\(639\) −2.65290 + 10.8104i −0.104947 + 0.427651i
\(640\) −1.84362 1.26533i −0.0728755 0.0500166i
\(641\) 30.1335 9.79096i 1.19020 0.386720i 0.354054 0.935225i \(-0.384803\pi\)
0.836147 + 0.548505i \(0.184803\pi\)
\(642\) −4.30769 0.520834i −0.170011 0.0205557i
\(643\) 11.3185 + 11.3185i 0.446357 + 0.446357i 0.894142 0.447785i \(-0.147787\pi\)
−0.447785 + 0.894142i \(0.647787\pi\)
\(644\) −18.7959 + 13.6560i −0.740660 + 0.538121i
\(645\) −3.89252 17.3529i −0.153268 0.683271i
\(646\) 9.04665 + 6.57278i 0.355936 + 0.258602i
\(647\) −4.88293 30.8296i −0.191968 1.21204i −0.875901 0.482491i \(-0.839732\pi\)
0.683933 0.729545i \(-0.260268\pi\)
\(648\) −5.21658 7.33398i −0.204926 0.288106i
\(649\) 10.4520i 0.410278i
\(650\) −25.1283 + 1.34952i −0.985613 + 0.0529325i
\(651\) −1.71075 46.5229i −0.0670498 1.82338i
\(652\) 4.66780 + 9.16108i 0.182805 + 0.358775i
\(653\) 1.59686 0.252918i 0.0624900 0.00989744i −0.125111 0.992143i \(-0.539929\pi\)
0.187601 + 0.982245i \(0.439929\pi\)
\(654\) −7.77894 + 11.5789i −0.304181 + 0.452770i
\(655\) 3.85264 29.4107i 0.150535 1.14917i
\(656\) −1.76720 2.43234i −0.0689976 0.0949670i
\(657\) −1.16880 + 1.35464i −0.0455994 + 0.0528496i
\(658\) −10.2903 1.62982i −0.401156 0.0635369i
\(659\) −1.49604 4.60434i −0.0582774 0.179360i 0.917680 0.397320i \(-0.130060\pi\)
−0.975958 + 0.217960i \(0.930060\pi\)
\(660\) −5.92212 + 0.377052i −0.230518 + 0.0146767i
\(661\) −14.5577 + 44.8040i −0.566229 + 1.74267i 0.0980414 + 0.995182i \(0.468742\pi\)
−0.664271 + 0.747492i \(0.731258\pi\)
\(662\) −7.51349 + 14.7460i −0.292020 + 0.573121i
\(663\) −18.9238 + 40.7789i −0.734940 + 1.58372i
\(664\) 2.63218 + 0.855246i 0.102148 + 0.0331900i
\(665\) −10.7903 14.0434i −0.418432 0.544581i
\(666\) −21.3239 + 8.70729i −0.826284 + 0.337401i
\(667\) 6.94676 43.8601i 0.268980 1.69827i
\(668\) 17.0389 17.0389i 0.659256 0.659256i
\(669\) −39.5703 + 31.0337i −1.52988 + 1.19983i
\(670\) −3.24147 + 6.80721i −0.125229 + 0.262985i
\(671\) 5.19911 7.15597i 0.200710 0.276253i
\(672\) 6.20819 1.21867i 0.239486 0.0470111i
\(673\) 22.8312 11.6331i 0.880077 0.448422i 0.0452767 0.998974i \(-0.485583\pi\)
0.834800 + 0.550553i \(0.185583\pi\)
\(674\) −26.2203 −1.00997
\(675\) −15.4145 20.9139i −0.593306 0.804977i
\(676\) −12.3301 −0.474234
\(677\) −16.4540 + 8.38373i −0.632379 + 0.322213i −0.740633 0.671910i \(-0.765474\pi\)
0.108254 + 0.994123i \(0.465474\pi\)
\(678\) −18.4394 + 3.61965i −0.708160 + 0.139012i
\(679\) 29.3799 40.4379i 1.12750 1.55187i
\(680\) −10.1307 + 5.50900i −0.388494 + 0.211260i
\(681\) 5.38568 4.22382i 0.206380 0.161857i
\(682\) −7.97224 + 7.97224i −0.305273 + 0.305273i
\(683\) 2.58115 16.2967i 0.0987650 0.623578i −0.887803 0.460224i \(-0.847769\pi\)
0.986568 0.163353i \(-0.0522310\pi\)
\(684\) −6.02223 + 2.45909i −0.230266 + 0.0940255i
\(685\) 20.5693 7.29895i 0.785912 0.278878i
\(686\) 2.28494 + 0.742422i 0.0872394 + 0.0283458i
\(687\) −9.62532 + 20.7416i −0.367229 + 0.791342i
\(688\) 2.08465 4.09136i 0.0794767 0.155982i
\(689\) 1.60699 4.94581i 0.0612214 0.188420i
\(690\) 9.08558 + 22.8973i 0.345882 + 0.871686i
\(691\) −10.6221 32.6914i −0.404084 1.24364i −0.921658 0.388003i \(-0.873165\pi\)
0.517574 0.855638i \(-0.326835\pi\)
\(692\) 23.7160 + 3.75624i 0.901547 + 0.142791i
\(693\) 10.9682 12.7121i 0.416646 0.482892i
\(694\) 6.99576 + 9.62884i 0.265555 + 0.365506i
\(695\) −5.18898 9.54218i −0.196829 0.361956i
\(696\) −6.74357 + 10.0377i −0.255614 + 0.380480i
\(697\) −15.3142 + 2.42553i −0.580067 + 0.0918736i
\(698\) 11.5641 + 22.6958i 0.437707 + 0.859048i
\(699\) 0.557896 + 15.1717i 0.0211016 + 0.573845i
\(700\) 17.8595 3.82031i 0.675026 0.144394i
\(701\) 14.8859i 0.562232i −0.959674 0.281116i \(-0.909295\pi\)
0.959674 0.281116i \(-0.0907045\pi\)
\(702\) −14.3647 21.8533i −0.542161 0.824801i
\(703\) 2.60428 + 16.4428i 0.0982222 + 0.620150i
\(704\) −1.23956 0.900593i −0.0467177 0.0339424i
\(705\) −4.37961 + 10.1416i −0.164946 + 0.381954i
\(706\) −7.12475 + 5.17643i −0.268143 + 0.194818i
\(707\) 0.378543 + 0.378543i 0.0142366 + 0.0142366i
\(708\) 11.7300 + 1.41825i 0.440842 + 0.0533013i
\(709\) 38.5502 12.5257i 1.44778 0.470413i 0.523468 0.852045i \(-0.324638\pi\)
0.924314 + 0.381632i \(0.124638\pi\)
\(710\) −6.57890 + 5.05493i −0.246902 + 0.189708i
\(711\) −0.951484 + 3.87723i −0.0356834 + 0.145407i
\(712\) 5.73613 + 2.92270i 0.214970 + 0.109533i
\(713\) 41.7019 + 21.2482i 1.56175 + 0.795750i
\(714\) 8.93533 31.3801i 0.334396 1.17437i
\(715\) −17.2368 + 0.462520i −0.644621 + 0.0172973i
\(716\) −4.28798 + 1.39325i −0.160249 + 0.0520681i
\(717\) 3.93856 32.5749i 0.147088 1.21653i
\(718\) −4.85077 4.85077i −0.181029 0.181029i
\(719\) 17.9319 13.0283i 0.668748 0.485874i −0.200858 0.979620i \(-0.564373\pi\)
0.869606 + 0.493746i \(0.164373\pi\)
\(720\) 0.380428 6.69741i 0.0141777 0.249598i
\(721\) 46.1690 + 33.5437i 1.71942 + 1.24923i
\(722\) −2.23676 14.1224i −0.0832437 0.525580i
\(723\) 19.8066 + 35.5767i 0.736614 + 1.32311i
\(724\) 14.1413i 0.525556i
\(725\) −18.9746 + 29.3013i −0.704699 + 1.08822i
\(726\) 14.9763 0.550713i 0.555823 0.0204389i
\(727\) −8.45889 16.6015i −0.313723 0.615716i 0.679270 0.733888i \(-0.262296\pi\)
−0.992993 + 0.118172i \(0.962296\pi\)
\(728\) 18.1574 2.87585i 0.672957 0.106586i
\(729\) 10.7076 24.7860i 0.396576 0.918002i
\(730\) −1.31109 + 0.243873i −0.0485255 + 0.00902614i
\(731\) −13.9192 19.1581i −0.514819 0.708588i
\(732\) 7.32548 + 6.80584i 0.270758 + 0.251551i
\(733\) 2.14436 + 0.339633i 0.0792038 + 0.0125446i 0.195911 0.980622i \(-0.437234\pi\)
−0.116707 + 0.993166i \(0.537234\pi\)
\(734\) 4.58254 + 14.1036i 0.169145 + 0.520574i
\(735\) −13.1462 + 20.7495i −0.484905 + 0.765357i
\(736\) −1.96550 + 6.04917i −0.0724491 + 0.222975i
\(737\) −2.34541 + 4.60312i −0.0863942 + 0.169558i
\(738\) 3.49352 8.31558i 0.128598 0.306101i
\(739\) 25.4696 + 8.27559i 0.936916 + 0.304423i 0.737388 0.675470i \(-0.236059\pi\)
0.199528 + 0.979892i \(0.436059\pi\)
\(740\) −16.4641 4.86529i −0.605231 0.178852i
\(741\) −17.7498 + 6.49761i −0.652057 + 0.238696i
\(742\) −0.590418 + 3.72775i −0.0216749 + 0.136850i
\(743\) −30.8466 + 30.8466i −1.13165 + 1.13165i −0.141749 + 0.989903i \(0.545273\pi\)
−0.989903 + 0.141749i \(0.954727\pi\)
\(744\) −7.86527 10.0288i −0.288355 0.367674i
\(745\) 10.6417 + 10.0855i 0.389882 + 0.369505i
\(746\) −10.1684 + 13.9956i −0.372293 + 0.512417i
\(747\) 1.89765 + 8.08314i 0.0694315 + 0.295746i
\(748\) −7.04042 + 3.58727i −0.257423 + 0.131164i
\(749\) 9.15060 0.334356
\(750\) 0.771360 19.3495i 0.0281661 0.706546i
\(751\) 48.1007 1.75522 0.877610 0.479376i \(-0.159137\pi\)
0.877610 + 0.479376i \(0.159137\pi\)
\(752\) −2.54140 + 1.29491i −0.0926753 + 0.0472204i
\(753\) −4.55370 23.1977i −0.165946 0.845370i
\(754\) −20.6537 + 28.4274i −0.752163 + 1.03526i
\(755\) 1.73039 + 1.63996i 0.0629755 + 0.0596842i
\(756\) 12.7782 + 14.0342i 0.464737 + 0.510420i
\(757\) 2.64953 2.64953i 0.0962989 0.0962989i −0.657316 0.753615i \(-0.728308\pi\)
0.753615 + 0.657316i \(0.228308\pi\)
\(758\) −0.889598 + 5.61670i −0.0323117 + 0.204008i
\(759\) 5.80246 + 15.8509i 0.210616 + 0.575350i