Properties

Label 273.2.cg.b.19.4
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.4
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.b.115.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.46932 - 0.393703i) q^{2} +1.00000i q^{3} +(0.271846 + 0.156950i) q^{4} +(-3.59085 + 0.962166i) q^{5} +(0.393703 - 1.46932i) q^{6} +(2.64173 - 0.145891i) q^{7} +(1.81360 + 1.81360i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-1.46932 - 0.393703i) q^{2} +1.00000i q^{3} +(0.271846 + 0.156950i) q^{4} +(-3.59085 + 0.962166i) q^{5} +(0.393703 - 1.46932i) q^{6} +(2.64173 - 0.145891i) q^{7} +(1.81360 + 1.81360i) q^{8} -1.00000 q^{9} +5.65491 q^{10} +(-1.41093 - 1.41093i) q^{11} +(-0.156950 + 0.271846i) q^{12} +(-1.45921 - 3.29708i) q^{13} +(-3.93898 - 0.825695i) q^{14} +(-0.962166 - 3.59085i) q^{15} +(-2.26463 - 3.92246i) q^{16} +(2.36075 - 4.08893i) q^{17} +(1.46932 + 0.393703i) q^{18} +(-3.15258 - 3.15258i) q^{19} +(-1.12717 - 0.302024i) q^{20} +(0.145891 + 2.64173i) q^{21} +(1.51761 + 2.62859i) q^{22} +(-1.80957 + 1.04476i) q^{23} +(-1.81360 + 1.81360i) q^{24} +(7.63832 - 4.40999i) q^{25} +(0.845973 + 5.41895i) q^{26} -1.00000i q^{27} +(0.741039 + 0.374959i) q^{28} +(5.10970 - 8.85026i) q^{29} +5.65491i q^{30} +(-0.591623 + 2.20797i) q^{31} +(0.455541 + 1.70010i) q^{32} +(1.41093 - 1.41093i) q^{33} +(-5.07852 + 5.07852i) q^{34} +(-9.34567 + 3.06565i) q^{35} +(-0.271846 - 0.156950i) q^{36} +(0.166900 - 0.622880i) q^{37} +(3.39097 + 5.87333i) q^{38} +(3.29708 - 1.45921i) q^{39} +(-8.25733 - 4.76737i) q^{40} +(-8.81239 + 2.36127i) q^{41} +(0.825695 - 3.93898i) q^{42} +(0.0966425 - 0.0557966i) q^{43} +(-0.162109 - 0.604999i) q^{44} +(3.59085 - 0.962166i) q^{45} +(3.07017 - 0.822648i) q^{46} +(-1.16024 - 4.33009i) q^{47} +(3.92246 - 2.26463i) q^{48} +(6.95743 - 0.770807i) q^{49} +(-12.9594 + 3.47245i) q^{50} +(4.08893 + 2.36075i) q^{51} +(0.120797 - 1.12532i) q^{52} +(-2.18989 - 3.79299i) q^{53} +(-0.393703 + 1.46932i) q^{54} +(6.42397 + 3.70888i) q^{55} +(5.05561 + 4.52644i) q^{56} +(3.15258 - 3.15258i) q^{57} +(-10.9921 + 10.9921i) q^{58} +(0.438963 + 1.63823i) q^{59} +(0.302024 - 1.12717i) q^{60} +6.75131i q^{61} +(1.73857 - 3.01128i) q^{62} +(-2.64173 + 0.145891i) q^{63} +6.38120i q^{64} +(8.41213 + 10.4353i) q^{65} +(-2.62859 + 1.51761i) q^{66} +(-2.10721 + 2.10721i) q^{67} +(1.28352 - 0.741039i) q^{68} +(-1.04476 - 1.80957i) q^{69} +(14.9387 - 0.825000i) q^{70} +(14.4800 + 3.87990i) q^{71} +(-1.81360 - 1.81360i) q^{72} +(-10.1535 - 2.72063i) q^{73} +(-0.490459 + 0.849500i) q^{74} +(4.40999 + 7.63832i) q^{75} +(-0.362217 - 1.35181i) q^{76} +(-3.93312 - 3.52144i) q^{77} +(-5.41895 + 0.845973i) q^{78} +(-0.0273492 + 0.0473702i) q^{79} +(11.9060 + 11.9060i) q^{80} +1.00000 q^{81} +13.8778 q^{82} +(-9.05174 - 9.05174i) q^{83} +(-0.374959 + 0.741039i) q^{84} +(-4.54286 + 16.9542i) q^{85} +(-0.163966 + 0.0439346i) q^{86} +(8.85026 + 5.10970i) q^{87} -5.11770i q^{88} +(-6.91330 - 1.85241i) q^{89} -5.65491 q^{90} +(-4.33584 - 8.49709i) q^{91} -0.655900 q^{92} +(-2.20797 - 0.591623i) q^{93} +6.81908i q^{94} +(14.3537 + 8.28714i) q^{95} +(-1.70010 + 0.455541i) q^{96} +(-3.20050 + 11.9444i) q^{97} +(-10.5262 - 1.60660i) q^{98} +(1.41093 + 1.41093i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 8q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 8q^{7} - 40q^{9} + 4q^{11} - 24q^{12} - 18q^{14} + 32q^{16} + 4q^{17} + 14q^{19} + 14q^{20} + 2q^{21} + 4q^{22} + 12q^{23} + 24q^{25} - 32q^{26} + 16q^{28} + 8q^{29} + 14q^{31} - 26q^{32} - 4q^{33} - 24q^{34} + 26q^{35} + 36q^{37} - 8q^{38} + 18q^{39} - 30q^{40} - 2q^{41} - 66q^{43} - 32q^{44} - 26q^{46} - 4q^{47} + 24q^{48} - 14q^{49} - 20q^{50} + 2q^{52} - 8q^{53} - 42q^{55} + 46q^{56} - 14q^{57} + 24q^{58} + 14q^{59} + 2q^{60} + 24q^{62} + 8q^{63} + 28q^{65} - 18q^{66} - 44q^{67} - 18q^{68} + 4q^{69} - 4q^{70} - 6q^{71} + 14q^{73} - 20q^{74} + 24q^{75} - 64q^{76} + 24q^{77} + 8q^{78} + 20q^{80} + 40q^{81} + 48q^{82} - 12q^{83} + 22q^{84} + 2q^{85} - 60q^{86} + 18q^{87} - 2q^{89} - 14q^{91} + 236q^{92} - 8q^{93} + 24q^{95} + 16q^{96} - 62q^{97} - 88q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.46932 0.393703i −1.03897 0.278390i −0.301281 0.953535i \(-0.597414\pi\)
−0.737685 + 0.675145i \(0.764081\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 0.271846 + 0.156950i 0.135923 + 0.0784751i
\(5\) −3.59085 + 0.962166i −1.60588 + 0.430294i −0.946811 0.321791i \(-0.895715\pi\)
−0.659067 + 0.752085i \(0.729048\pi\)
\(6\) 0.393703 1.46932i 0.160729 0.599847i
\(7\) 2.64173 0.145891i 0.998479 0.0551416i
\(8\) 1.81360 + 1.81360i 0.641203 + 0.641203i
\(9\) −1.00000 −0.333333
\(10\) 5.65491 1.78824
\(11\) −1.41093 1.41093i −0.425410 0.425410i 0.461651 0.887062i \(-0.347257\pi\)
−0.887062 + 0.461651i \(0.847257\pi\)
\(12\) −0.156950 + 0.271846i −0.0453076 + 0.0784751i
\(13\) −1.45921 3.29708i −0.404711 0.914444i
\(14\) −3.93898 0.825695i −1.05274 0.220676i
\(15\) −0.962166 3.59085i −0.248430 0.927154i
\(16\) −2.26463 3.92246i −0.566158 0.980615i
\(17\) 2.36075 4.08893i 0.572565 0.991712i −0.423736 0.905786i \(-0.639282\pi\)
0.996301 0.0859265i \(-0.0273850\pi\)
\(18\) 1.46932 + 0.393703i 0.346322 + 0.0927966i
\(19\) −3.15258 3.15258i −0.723251 0.723251i 0.246015 0.969266i \(-0.420879\pi\)
−0.969266 + 0.246015i \(0.920879\pi\)
\(20\) −1.12717 0.302024i −0.252043 0.0675346i
\(21\) 0.145891 + 2.64173i 0.0318360 + 0.576472i
\(22\) 1.51761 + 2.62859i 0.323557 + 0.560416i
\(23\) −1.80957 + 1.04476i −0.377322 + 0.217847i −0.676653 0.736302i \(-0.736570\pi\)
0.299330 + 0.954150i \(0.403237\pi\)
\(24\) −1.81360 + 1.81360i −0.370199 + 0.370199i
\(25\) 7.63832 4.40999i 1.52766 0.881997i
\(26\) 0.845973 + 5.41895i 0.165909 + 1.06274i
\(27\) 1.00000i 0.192450i
\(28\) 0.741039 + 0.374959i 0.140043 + 0.0708607i
\(29\) 5.10970 8.85026i 0.948847 1.64345i 0.200988 0.979594i \(-0.435585\pi\)
0.747859 0.663858i \(-0.231082\pi\)
\(30\) 5.65491i 1.03244i
\(31\) −0.591623 + 2.20797i −0.106259 + 0.396563i −0.998485 0.0550260i \(-0.982476\pi\)
0.892226 + 0.451589i \(0.149142\pi\)
\(32\) 0.455541 + 1.70010i 0.0805290 + 0.300538i
\(33\) 1.41093 1.41093i 0.245611 0.245611i
\(34\) −5.07852 + 5.07852i −0.870958 + 0.870958i
\(35\) −9.34567 + 3.06565i −1.57971 + 0.518189i
\(36\) −0.271846 0.156950i −0.0453076 0.0261584i
\(37\) 0.166900 0.622880i 0.0274382 0.102401i −0.950849 0.309656i \(-0.899786\pi\)
0.978287 + 0.207255i \(0.0664529\pi\)
\(38\) 3.39097 + 5.87333i 0.550087 + 0.952779i
\(39\) 3.29708 1.45921i 0.527955 0.233660i
\(40\) −8.25733 4.76737i −1.30560 0.753788i
\(41\) −8.81239 + 2.36127i −1.37626 + 0.368769i −0.869763 0.493471i \(-0.835728\pi\)
−0.506501 + 0.862239i \(0.669061\pi\)
\(42\) 0.825695 3.93898i 0.127407 0.607797i
\(43\) 0.0966425 0.0557966i 0.0147378 0.00850890i −0.492613 0.870249i \(-0.663958\pi\)
0.507351 + 0.861740i \(0.330625\pi\)
\(44\) −0.162109 0.604999i −0.0244389 0.0912071i
\(45\) 3.59085 0.962166i 0.535292 0.143431i
\(46\) 3.07017 0.822648i 0.452671 0.121293i
\(47\) −1.16024 4.33009i −0.169239 0.631609i −0.997461 0.0712092i \(-0.977314\pi\)
0.828222 0.560400i \(-0.189352\pi\)
\(48\) 3.92246 2.26463i 0.566158 0.326872i
\(49\) 6.95743 0.770807i 0.993919 0.110115i
\(50\) −12.9594 + 3.47245i −1.83273 + 0.491078i
\(51\) 4.08893 + 2.36075i 0.572565 + 0.330571i
\(52\) 0.120797 1.12532i 0.0167516 0.156054i
\(53\) −2.18989 3.79299i −0.300804 0.521008i 0.675514 0.737347i \(-0.263922\pi\)
−0.976318 + 0.216339i \(0.930588\pi\)
\(54\) −0.393703 + 1.46932i −0.0535762 + 0.199949i
\(55\) 6.42397 + 3.70888i 0.866208 + 0.500105i
\(56\) 5.05561 + 4.52644i 0.675584 + 0.604871i
\(57\) 3.15258 3.15258i 0.417569 0.417569i
\(58\) −10.9921 + 10.9921i −1.44334 + 1.44334i
\(59\) 0.438963 + 1.63823i 0.0571481 + 0.213280i 0.988595 0.150597i \(-0.0481196\pi\)
−0.931447 + 0.363877i \(0.881453\pi\)
\(60\) 0.302024 1.12717i 0.0389911 0.145517i
\(61\) 6.75131i 0.864416i 0.901774 + 0.432208i \(0.142265\pi\)
−0.901774 + 0.432208i \(0.857735\pi\)
\(62\) 1.73857 3.01128i 0.220798 0.382433i
\(63\) −2.64173 + 0.145891i −0.332826 + 0.0183805i
\(64\) 6.38120i 0.797649i
\(65\) 8.41213 + 10.4353i 1.04340 + 1.29434i
\(66\) −2.62859 + 1.51761i −0.323557 + 0.186805i
\(67\) −2.10721 + 2.10721i −0.257436 + 0.257436i −0.824011 0.566574i \(-0.808268\pi\)
0.566574 + 0.824011i \(0.308268\pi\)
\(68\) 1.28352 0.741039i 0.155649 0.0898642i
\(69\) −1.04476 1.80957i −0.125774 0.217847i
\(70\) 14.9387 0.825000i 1.78552 0.0986064i
\(71\) 14.4800 + 3.87990i 1.71846 + 0.460459i 0.977473 0.211062i \(-0.0676921\pi\)
0.740985 + 0.671521i \(0.234359\pi\)
\(72\) −1.81360 1.81360i −0.213734 0.213734i
\(73\) −10.1535 2.72063i −1.18838 0.318426i −0.390135 0.920758i \(-0.627572\pi\)
−0.798246 + 0.602332i \(0.794238\pi\)
\(74\) −0.490459 + 0.849500i −0.0570147 + 0.0987524i
\(75\) 4.40999 + 7.63832i 0.509221 + 0.881997i
\(76\) −0.362217 1.35181i −0.0415492 0.155064i
\(77\) −3.93312 3.52144i −0.448221 0.401305i
\(78\) −5.41895 + 0.845973i −0.613575 + 0.0957876i
\(79\) −0.0273492 + 0.0473702i −0.00307703 + 0.00532957i −0.867560 0.497333i \(-0.834313\pi\)
0.864483 + 0.502662i \(0.167646\pi\)
\(80\) 11.9060 + 11.9060i 1.33113 + 1.33113i
\(81\) 1.00000 0.111111
\(82\) 13.8778 1.53255
\(83\) −9.05174 9.05174i −0.993558 0.993558i 0.00642168 0.999979i \(-0.497956\pi\)
−0.999979 + 0.00642168i \(0.997956\pi\)
\(84\) −0.374959 + 0.741039i −0.0409114 + 0.0808540i
\(85\) −4.54286 + 16.9542i −0.492742 + 1.83894i
\(86\) −0.163966 + 0.0439346i −0.0176809 + 0.00473759i
\(87\) 8.85026 + 5.10970i 0.948847 + 0.547817i
\(88\) 5.11770i 0.545549i
\(89\) −6.91330 1.85241i −0.732808 0.196355i −0.126929 0.991912i \(-0.540512\pi\)
−0.605879 + 0.795556i \(0.707179\pi\)
\(90\) −5.65491 −0.596080
\(91\) −4.33584 8.49709i −0.454520 0.890737i
\(92\) −0.655900 −0.0683823
\(93\) −2.20797 0.591623i −0.228955 0.0613484i
\(94\) 6.81908i 0.703334i
\(95\) 14.3537 + 8.28714i 1.47266 + 0.850243i
\(96\) −1.70010 + 0.455541i −0.173516 + 0.0464934i
\(97\) −3.20050 + 11.9444i −0.324962 + 1.21277i 0.589388 + 0.807850i \(0.299369\pi\)
−0.914350 + 0.404924i \(0.867298\pi\)
\(98\) −10.5262 1.60660i −1.06330 0.162291i
\(99\) 1.41093 + 1.41093i 0.141803 + 0.141803i
\(100\) 2.76859 0.276859
\(101\) −3.33743 −0.332086 −0.166043 0.986118i \(-0.553099\pi\)
−0.166043 + 0.986118i \(0.553099\pi\)
\(102\) −5.07852 5.07852i −0.502848 0.502848i
\(103\) 9.27777 16.0696i 0.914166 1.58338i 0.106048 0.994361i \(-0.466180\pi\)
0.808118 0.589021i \(-0.200486\pi\)
\(104\) 3.33315 8.62598i 0.326842 0.845847i
\(105\) −3.06565 9.34567i −0.299177 0.912044i
\(106\) 1.72433 + 6.43528i 0.167482 + 0.625050i
\(107\) −2.66439 4.61486i −0.257576 0.446135i 0.708016 0.706197i \(-0.249591\pi\)
−0.965592 + 0.260061i \(0.916257\pi\)
\(108\) 0.156950 0.271846i 0.0151025 0.0261584i
\(109\) −10.8027 2.89458i −1.03471 0.277251i −0.298793 0.954318i \(-0.596584\pi\)
−0.735921 + 0.677067i \(0.763251\pi\)
\(110\) −7.97866 7.97866i −0.760736 0.760736i
\(111\) 0.622880 + 0.166900i 0.0591212 + 0.0158415i
\(112\) −6.55479 10.0317i −0.619370 0.947904i
\(113\) 1.28775 + 2.23045i 0.121142 + 0.209823i 0.920218 0.391406i \(-0.128011\pi\)
−0.799077 + 0.601229i \(0.794678\pi\)
\(114\) −5.87333 + 3.39097i −0.550087 + 0.317593i
\(115\) 5.49268 5.49268i 0.512195 0.512195i
\(116\) 2.77810 1.60394i 0.257940 0.148922i
\(117\) 1.45921 + 3.29708i 0.134904 + 0.304815i
\(118\) 2.57990i 0.237499i
\(119\) 5.63991 11.1463i 0.517010 1.02178i
\(120\) 4.76737 8.25733i 0.435200 0.753788i
\(121\) 7.01857i 0.638052i
\(122\) 2.65801 9.91982i 0.240645 0.898099i
\(123\) −2.36127 8.81239i −0.212909 0.794586i
\(124\) −0.507371 + 0.507371i −0.0455632 + 0.0455632i
\(125\) −10.0415 + 10.0415i −0.898140 + 0.898140i
\(126\) 3.93898 + 0.825695i 0.350912 + 0.0735587i
\(127\) −15.9822 9.22735i −1.41819 0.818795i −0.422054 0.906570i \(-0.638691\pi\)
−0.996140 + 0.0877754i \(0.972024\pi\)
\(128\) 3.42338 12.7762i 0.302587 1.12927i
\(129\) 0.0557966 + 0.0966425i 0.00491262 + 0.00850890i
\(130\) −8.25169 18.6447i −0.723721 1.63525i
\(131\) 5.76722 + 3.32971i 0.503885 + 0.290918i 0.730316 0.683109i \(-0.239373\pi\)
−0.226432 + 0.974027i \(0.572706\pi\)
\(132\) 0.604999 0.162109i 0.0526584 0.0141098i
\(133\) −8.78818 7.86832i −0.762032 0.682270i
\(134\) 3.92577 2.26654i 0.339135 0.195800i
\(135\) 0.962166 + 3.59085i 0.0828100 + 0.309051i
\(136\) 11.6971 3.13423i 1.00302 0.268758i
\(137\) 15.4237 4.13276i 1.31773 0.353085i 0.469604 0.882877i \(-0.344397\pi\)
0.848128 + 0.529792i \(0.177730\pi\)
\(138\) 0.822648 + 3.07017i 0.0700285 + 0.261350i
\(139\) −9.32621 + 5.38449i −0.791038 + 0.456706i −0.840328 0.542078i \(-0.817638\pi\)
0.0492896 + 0.998785i \(0.484304\pi\)
\(140\) −3.02173 0.633421i −0.255383 0.0535339i
\(141\) 4.33009 1.16024i 0.364660 0.0977102i
\(142\) −19.7482 11.4016i −1.65723 0.956803i
\(143\) −2.59310 + 6.71077i −0.216846 + 0.561182i
\(144\) 2.26463 + 3.92246i 0.188719 + 0.326872i
\(145\) −9.83275 + 36.6963i −0.816565 + 3.04746i
\(146\) 13.8476 + 7.99494i 1.14604 + 0.661666i
\(147\) 0.770807 + 6.95743i 0.0635751 + 0.573839i
\(148\) 0.143132 0.143132i 0.0117654 0.0117654i
\(149\) 1.87483 1.87483i 0.153592 0.153592i −0.626128 0.779720i \(-0.715361\pi\)
0.779720 + 0.626128i \(0.215361\pi\)
\(150\) −3.47245 12.9594i −0.283524 1.05813i
\(151\) 0.927335 3.46086i 0.0754655 0.281641i −0.917873 0.396874i \(-0.870095\pi\)
0.993338 + 0.115233i \(0.0367615\pi\)
\(152\) 11.4350i 0.927502i
\(153\) −2.36075 + 4.08893i −0.190855 + 0.330571i
\(154\) 4.39261 + 6.72260i 0.353967 + 0.541722i
\(155\) 8.49772i 0.682553i
\(156\) 1.12532 + 0.120797i 0.0900976 + 0.00967153i
\(157\) −8.63943 + 4.98798i −0.689502 + 0.398084i −0.803425 0.595406i \(-0.796991\pi\)
0.113924 + 0.993490i \(0.463658\pi\)
\(158\) 0.0588345 0.0588345i 0.00468062 0.00468062i
\(159\) 3.79299 2.18989i 0.300804 0.173669i
\(160\) −3.27156 5.66651i −0.258639 0.447977i
\(161\) −4.62798 + 3.02396i −0.364736 + 0.238322i
\(162\) −1.46932 0.393703i −0.115441 0.0309322i
\(163\) −0.822174 0.822174i −0.0643977 0.0643977i 0.674174 0.738572i \(-0.264500\pi\)
−0.738572 + 0.674174i \(0.764500\pi\)
\(164\) −2.76621 0.741204i −0.216005 0.0578783i
\(165\) −3.70888 + 6.42397i −0.288736 + 0.500105i
\(166\) 9.73620 + 16.8636i 0.755676 + 1.30887i
\(167\) 1.15161 + 4.29785i 0.0891139 + 0.332578i 0.996061 0.0886660i \(-0.0282604\pi\)
−0.906947 + 0.421244i \(0.861594\pi\)
\(168\) −4.52644 + 5.05561i −0.349222 + 0.390049i
\(169\) −8.74143 + 9.62224i −0.672417 + 0.740172i
\(170\) 13.3498 23.1226i 1.02388 1.77342i
\(171\) 3.15258 + 3.15258i 0.241084 + 0.241084i
\(172\) 0.0350291 0.00267095
\(173\) −19.6085 −1.49081 −0.745403 0.666614i \(-0.767743\pi\)
−0.745403 + 0.666614i \(0.767743\pi\)
\(174\) −10.9921 10.9921i −0.833313 0.833313i
\(175\) 19.5350 12.7643i 1.47671 0.964893i
\(176\) −2.33907 + 8.72953i −0.176314 + 0.658013i
\(177\) −1.63823 + 0.438963i −0.123137 + 0.0329945i
\(178\) 9.42854 + 5.44357i 0.706699 + 0.408013i
\(179\) 23.0627i 1.72379i 0.507088 + 0.861894i \(0.330722\pi\)
−0.507088 + 0.861894i \(0.669278\pi\)
\(180\) 1.12717 + 0.302024i 0.0840142 + 0.0225115i
\(181\) 20.5419 1.52686 0.763432 0.645888i \(-0.223513\pi\)
0.763432 + 0.645888i \(0.223513\pi\)
\(182\) 3.02540 + 14.1920i 0.224258 + 1.05198i
\(183\) −6.75131 −0.499071
\(184\) −5.17661 1.38707i −0.381624 0.102256i
\(185\) 2.39726i 0.176250i
\(186\) 3.01128 + 1.73857i 0.220798 + 0.127478i
\(187\) −9.10002 + 2.43834i −0.665460 + 0.178309i
\(188\) 0.364201 1.35922i 0.0265621 0.0991311i
\(189\) −0.145891 2.64173i −0.0106120 0.192157i
\(190\) −17.8276 17.8276i −1.29335 1.29335i
\(191\) 22.9816 1.66289 0.831443 0.555609i \(-0.187515\pi\)
0.831443 + 0.555609i \(0.187515\pi\)
\(192\) −6.38120 −0.460523
\(193\) −5.51721 5.51721i −0.397137 0.397137i 0.480085 0.877222i \(-0.340606\pi\)
−0.877222 + 0.480085i \(0.840606\pi\)
\(194\) 9.40512 16.2901i 0.675248 1.16956i
\(195\) −10.4353 + 8.41213i −0.747288 + 0.602405i
\(196\) 2.01233 + 0.882429i 0.143738 + 0.0630307i
\(197\) −2.60698 9.72938i −0.185740 0.693190i −0.994471 0.105012i \(-0.966512\pi\)
0.808731 0.588178i \(-0.200155\pi\)
\(198\) −1.51761 2.62859i −0.107852 0.186805i
\(199\) 3.84516 6.66002i 0.272576 0.472116i −0.696944 0.717125i \(-0.745458\pi\)
0.969521 + 0.245009i \(0.0787909\pi\)
\(200\) 21.8508 + 5.85489i 1.54508 + 0.414004i
\(201\) −2.10721 2.10721i −0.148631 0.148631i
\(202\) 4.90374 + 1.31395i 0.345026 + 0.0924495i
\(203\) 12.2072 24.1254i 0.856781 1.69327i
\(204\) 0.741039 + 1.28352i 0.0518831 + 0.0898642i
\(205\) 29.3720 16.9580i 2.05143 1.18439i
\(206\) −19.9586 + 19.9586i −1.39058 + 1.39058i
\(207\) 1.80957 1.04476i 0.125774 0.0726157i
\(208\) −9.62808 + 13.1904i −0.667587 + 0.914587i
\(209\) 8.89611i 0.615357i
\(210\) 0.825000 + 14.9387i 0.0569304 + 1.03087i
\(211\) 4.74990 8.22707i 0.326997 0.566375i −0.654918 0.755700i \(-0.727297\pi\)
0.981914 + 0.189325i \(0.0606301\pi\)
\(212\) 1.37481i 0.0944224i
\(213\) −3.87990 + 14.4800i −0.265846 + 0.992152i
\(214\) 2.09796 + 7.82968i 0.143413 + 0.535226i
\(215\) −0.293343 + 0.293343i −0.0200059 + 0.0200059i
\(216\) 1.81360 1.81360i 0.123400 0.123400i
\(217\) −1.24078 + 5.91916i −0.0842299 + 0.401818i
\(218\) 14.7331 + 8.50613i 0.997848 + 0.576108i
\(219\) 2.72063 10.1535i 0.183843 0.686112i
\(220\) 1.16422 + 2.01649i 0.0784916 + 0.135951i
\(221\) −16.9263 1.81696i −1.13859 0.122222i
\(222\) −0.849500 0.490459i −0.0570147 0.0329175i
\(223\) 16.5658 4.43878i 1.10933 0.297243i 0.342769 0.939420i \(-0.388635\pi\)
0.766556 + 0.642177i \(0.221969\pi\)
\(224\) 1.45144 + 4.42474i 0.0969786 + 0.295641i
\(225\) −7.63832 + 4.40999i −0.509221 + 0.293999i
\(226\) −1.01398 3.78424i −0.0674492 0.251724i
\(227\) 6.00538 1.60914i 0.398591 0.106802i −0.0539546 0.998543i \(-0.517183\pi\)
0.452546 + 0.891741i \(0.350516\pi\)
\(228\) 1.35181 0.362217i 0.0895260 0.0239884i
\(229\) −1.25618 4.68814i −0.0830110 0.309801i 0.911919 0.410370i \(-0.134600\pi\)
−0.994930 + 0.100569i \(0.967934\pi\)
\(230\) −10.2330 + 5.90802i −0.674743 + 0.389563i
\(231\) 3.52144 3.93312i 0.231694 0.258780i
\(232\) 25.3177 6.78386i 1.66219 0.445382i
\(233\) −11.3722 6.56573i −0.745016 0.430135i 0.0788741 0.996885i \(-0.474867\pi\)
−0.823890 + 0.566749i \(0.808201\pi\)
\(234\) −0.845973 5.41895i −0.0553030 0.354248i
\(235\) 8.33253 + 14.4324i 0.543554 + 0.941464i
\(236\) −0.137790 + 0.514241i −0.00896940 + 0.0334742i
\(237\) −0.0473702 0.0273492i −0.00307703 0.00177652i
\(238\) −12.6751 + 14.1570i −0.821607 + 0.917659i
\(239\) 6.23607 6.23607i 0.403378 0.403378i −0.476044 0.879422i \(-0.657930\pi\)
0.879422 + 0.476044i \(0.157930\pi\)
\(240\) −11.9060 + 11.9060i −0.768530 + 0.768530i
\(241\) 2.36670 + 8.83265i 0.152453 + 0.568961i 0.999310 + 0.0371409i \(0.0118250\pi\)
−0.846857 + 0.531820i \(0.821508\pi\)
\(242\) −2.76323 + 10.3125i −0.177627 + 0.662914i
\(243\) 1.00000i 0.0641500i
\(244\) −1.05962 + 1.83531i −0.0678351 + 0.117494i
\(245\) −24.2415 + 9.46206i −1.54873 + 0.604509i
\(246\) 13.8778i 0.884819i
\(247\) −5.79403 + 14.9946i −0.368665 + 0.954081i
\(248\) −5.07732 + 2.93139i −0.322410 + 0.186144i
\(249\) 9.05174 9.05174i 0.573631 0.573631i
\(250\) 18.7075 10.8008i 1.18317 0.683103i
\(251\) 6.74060 + 11.6751i 0.425463 + 0.736924i 0.996464 0.0840260i \(-0.0267779\pi\)
−0.571000 + 0.820950i \(0.693445\pi\)
\(252\) −0.741039 0.374959i −0.0466811 0.0236202i
\(253\) 4.02725 + 1.07910i 0.253191 + 0.0678424i
\(254\) 19.8502 + 19.8502i 1.24551 + 1.24551i
\(255\) −16.9542 4.54286i −1.06171 0.284485i
\(256\) −3.67887 + 6.37199i −0.229929 + 0.398249i
\(257\) 4.92529 + 8.53085i 0.307231 + 0.532140i 0.977756 0.209747i \(-0.0672642\pi\)
−0.670524 + 0.741887i \(0.733931\pi\)
\(258\) −0.0439346 0.163966i −0.00273525 0.0102081i
\(259\) 0.350032 1.66983i 0.0217499 0.103758i
\(260\) 0.648977 + 4.15708i 0.0402479 + 0.257811i
\(261\) −5.10970 + 8.85026i −0.316282 + 0.547817i
\(262\) −7.16297 7.16297i −0.442530 0.442530i
\(263\) −10.0381 −0.618973 −0.309486 0.950904i \(-0.600157\pi\)
−0.309486 + 0.950904i \(0.600157\pi\)
\(264\) 5.11770 0.314973
\(265\) 11.5130 + 11.5130i 0.707240 + 0.707240i
\(266\) 9.81487 + 15.0210i 0.601788 + 0.920997i
\(267\) 1.85241 6.91330i 0.113366 0.423087i
\(268\) −0.903561 + 0.242108i −0.0551938 + 0.0147891i
\(269\) −26.1996 15.1263i −1.59742 0.922268i −0.991983 0.126372i \(-0.959667\pi\)
−0.605433 0.795896i \(-0.707000\pi\)
\(270\) 5.65491i 0.344147i
\(271\) 16.9184 + 4.53326i 1.02772 + 0.275376i 0.733014 0.680213i \(-0.238113\pi\)
0.294702 + 0.955589i \(0.404779\pi\)
\(272\) −21.3849 −1.29665
\(273\) 8.49709 4.33584i 0.514267 0.262417i
\(274\) −24.2893 −1.46737
\(275\) −16.9993 4.55494i −1.02509 0.274673i
\(276\) 0.655900i 0.0394805i
\(277\) 15.4484 + 8.91911i 0.928202 + 0.535897i 0.886242 0.463222i \(-0.153307\pi\)
0.0419593 + 0.999119i \(0.486640\pi\)
\(278\) 15.8231 4.23978i 0.949004 0.254285i
\(279\) 0.591623 2.20797i 0.0354195 0.132188i
\(280\) −22.5091 11.3894i −1.34518 0.680648i
\(281\) 0.156351 + 0.156351i 0.00932711 + 0.00932711i 0.711755 0.702428i \(-0.247901\pi\)
−0.702428 + 0.711755i \(0.747901\pi\)
\(282\) −6.81908 −0.406070
\(283\) −25.7108 −1.52835 −0.764176 0.645008i \(-0.776854\pi\)
−0.764176 + 0.645008i \(0.776854\pi\)
\(284\) 3.32737 + 3.32737i 0.197443 + 0.197443i
\(285\) −8.28714 + 14.3537i −0.490888 + 0.850243i
\(286\) 6.45213 8.83935i 0.381523 0.522681i
\(287\) −22.9354 + 7.52348i −1.35384 + 0.444097i
\(288\) −0.455541 1.70010i −0.0268430 0.100179i
\(289\) −2.64625 4.58345i −0.155662 0.269615i
\(290\) 28.8949 50.0474i 1.69677 2.93889i
\(291\) −11.9444 3.20050i −0.700195 0.187617i
\(292\) −2.33319 2.33319i −0.136540 0.136540i
\(293\) 15.5701 + 4.17200i 0.909615 + 0.243731i 0.683141 0.730286i \(-0.260613\pi\)
0.226474 + 0.974017i \(0.427280\pi\)
\(294\) 1.60660 10.5262i 0.0936987 0.613898i
\(295\) −3.15250 5.46029i −0.183546 0.317910i
\(296\) 1.43234 0.826963i 0.0832532 0.0480663i
\(297\) −1.41093 + 1.41093i −0.0818702 + 0.0818702i
\(298\) −3.49286 + 2.01660i −0.202336 + 0.116819i
\(299\) 6.08519 + 4.44179i 0.351916 + 0.256875i
\(300\) 2.76859i 0.159845i
\(301\) 0.247163 0.161499i 0.0142462 0.00930862i
\(302\) −2.72510 + 4.72002i −0.156812 + 0.271606i
\(303\) 3.33743i 0.191730i
\(304\) −5.22643 + 19.5053i −0.299756 + 1.11871i
\(305\) −6.49588 24.2429i −0.371953 1.38815i
\(306\) 5.07852 5.07852i 0.290319 0.290319i
\(307\) 21.2119 21.2119i 1.21063 1.21063i 0.239809 0.970820i \(-0.422915\pi\)
0.970820 0.239809i \(-0.0770849\pi\)
\(308\) −0.516511 1.57459i −0.0294310 0.0897207i
\(309\) 16.0696 + 9.27777i 0.914166 + 0.527794i
\(310\) −3.34558 + 12.4859i −0.190016 + 0.709149i
\(311\) 12.0212 + 20.8214i 0.681660 + 1.18067i 0.974474 + 0.224501i \(0.0720752\pi\)
−0.292813 + 0.956170i \(0.594591\pi\)
\(312\) 8.62598 + 3.33315i 0.488350 + 0.188703i
\(313\) 20.0578 + 11.5804i 1.13373 + 0.654562i 0.944872 0.327441i \(-0.106186\pi\)
0.188863 + 0.982003i \(0.439520\pi\)
\(314\) 14.6579 3.92756i 0.827191 0.221645i
\(315\) 9.34567 3.06565i 0.526569 0.172730i
\(316\) −0.0148695 + 0.00858493i −0.000836477 + 0.000482940i
\(317\) 5.29442 + 19.7590i 0.297364 + 1.10978i 0.939322 + 0.343038i \(0.111456\pi\)
−0.641958 + 0.766740i \(0.721877\pi\)
\(318\) −6.43528 + 1.72433i −0.360873 + 0.0966955i
\(319\) −19.6965 + 5.27765i −1.10279 + 0.295492i
\(320\) −6.13977 22.9139i −0.343223 1.28093i
\(321\) 4.61486 2.66439i 0.257576 0.148712i
\(322\) 7.99052 2.62112i 0.445294 0.146069i
\(323\) −20.3331 + 5.44825i −1.13137 + 0.303149i
\(324\) 0.271846 + 0.156950i 0.0151025 + 0.00871945i
\(325\) −25.6860 18.7490i −1.42480 1.04001i
\(326\) 0.884344 + 1.53173i 0.0489793 + 0.0848346i
\(327\) 2.89458 10.8027i 0.160071 0.597392i
\(328\) −20.2645 11.6997i −1.11892 0.646009i
\(329\) −3.69677 11.2696i −0.203809 0.621316i
\(330\) 7.97866 7.97866i 0.439211 0.439211i
\(331\) −14.8316 + 14.8316i −0.815218 + 0.815218i −0.985411 0.170193i \(-0.945561\pi\)
0.170193 + 0.985411i \(0.445561\pi\)
\(332\) −1.04000 3.88135i −0.0570776 0.213017i
\(333\) −0.166900 + 0.622880i −0.00914608 + 0.0341336i
\(334\) 6.76830i 0.370345i
\(335\) 5.53918 9.59414i 0.302638 0.524184i
\(336\) 10.0317 6.55479i 0.547273 0.357593i
\(337\) 30.0384i 1.63629i 0.575009 + 0.818147i \(0.304999\pi\)
−0.575009 + 0.818147i \(0.695001\pi\)
\(338\) 16.6322 10.6966i 0.904675 0.581819i
\(339\) −2.23045 + 1.28775i −0.121142 + 0.0699411i
\(340\) −3.89592 + 3.89592i −0.211286 + 0.211286i
\(341\) 3.95001 2.28054i 0.213905 0.123498i
\(342\) −3.39097 5.87333i −0.183362 0.317593i
\(343\) 18.2672 3.05129i 0.986335 0.164754i
\(344\) 0.276463 + 0.0740780i 0.0149059 + 0.00399402i
\(345\) 5.49268 + 5.49268i 0.295716 + 0.295716i
\(346\) 28.8111 + 7.71992i 1.54890 + 0.415026i
\(347\) −0.955000 + 1.65411i −0.0512671 + 0.0887972i −0.890520 0.454944i \(-0.849659\pi\)
0.839253 + 0.543741i \(0.182993\pi\)
\(348\) 1.60394 + 2.77810i 0.0859800 + 0.148922i
\(349\) −0.864466 3.22623i −0.0462738 0.172696i 0.938922 0.344131i \(-0.111826\pi\)
−0.985195 + 0.171435i \(0.945160\pi\)
\(350\) −33.7285 + 11.0639i −1.80286 + 0.591391i
\(351\) −3.29708 + 1.45921i −0.175985 + 0.0778867i
\(352\) 1.75598 3.04145i 0.0935942 0.162110i
\(353\) −7.04763 7.04763i −0.375108 0.375108i 0.494226 0.869334i \(-0.335452\pi\)
−0.869334 + 0.494226i \(0.835452\pi\)
\(354\) 2.57990 0.137120
\(355\) −55.7286 −2.95777
\(356\) −1.58861 1.58861i −0.0841963 0.0841963i
\(357\) 11.1463 + 5.63991i 0.589922 + 0.298496i
\(358\) 9.07986 33.8865i 0.479885 1.79096i
\(359\) 13.3711 3.58279i 0.705702 0.189092i 0.111919 0.993717i \(-0.464300\pi\)
0.593783 + 0.804625i \(0.297634\pi\)
\(360\) 8.25733 + 4.76737i 0.435200 + 0.251263i
\(361\) 0.877521i 0.0461853i
\(362\) −30.1826 8.08739i −1.58636 0.425064i
\(363\) 7.01857 0.368380
\(364\) 0.154940 2.99041i 0.00812106 0.156740i
\(365\) 39.0775 2.04541
\(366\) 9.91982 + 2.65801i 0.518517 + 0.138936i
\(367\) 26.2338i 1.36939i −0.728827 0.684697i \(-0.759934\pi\)
0.728827 0.684697i \(-0.240066\pi\)
\(368\) 8.19604 + 4.73199i 0.427248 + 0.246672i
\(369\) 8.81239 2.36127i 0.458755 0.122923i
\(370\) 0.943806 3.52233i 0.0490661 0.183117i
\(371\) −6.33844 9.70056i −0.329075 0.503628i
\(372\) −0.507371 0.507371i −0.0263059 0.0263059i
\(373\) 14.3805 0.744596 0.372298 0.928113i \(-0.378570\pi\)
0.372298 + 0.928113i \(0.378570\pi\)
\(374\) 14.3308 0.741029
\(375\) −10.0415 10.0415i −0.518541 0.518541i
\(376\) 5.74882 9.95725i 0.296473 0.513506i
\(377\) −36.6361 3.93270i −1.88685 0.202545i
\(378\) −0.825695 + 3.93898i −0.0424692 + 0.202599i
\(379\) 0.297354 + 1.10974i 0.0152740 + 0.0570035i 0.973142 0.230205i \(-0.0739395\pi\)
−0.957868 + 0.287208i \(0.907273\pi\)
\(380\) 2.60134 + 4.50565i 0.133446 + 0.231135i
\(381\) 9.22735 15.9822i 0.472732 0.818795i
\(382\) −33.7672 9.04790i −1.72768 0.462931i
\(383\) 14.5999 + 14.5999i 0.746019 + 0.746019i 0.973729 0.227710i \(-0.0731237\pi\)
−0.227710 + 0.973729i \(0.573124\pi\)
\(384\) 12.7762 + 3.42338i 0.651983 + 0.174698i
\(385\) 17.5115 + 8.86065i 0.892467 + 0.451580i
\(386\) 5.93440 + 10.2787i 0.302053 + 0.523171i
\(387\) −0.0966425 + 0.0557966i −0.00491262 + 0.00283630i
\(388\) −2.74472 + 2.74472i −0.139342 + 0.139342i
\(389\) −25.6552 + 14.8121i −1.30077 + 0.751001i −0.980537 0.196337i \(-0.937095\pi\)
−0.320236 + 0.947338i \(0.603762\pi\)
\(390\) 18.6447 8.25169i 0.944110 0.417841i
\(391\) 9.86564i 0.498927i
\(392\) 14.0159 + 11.2200i 0.707910 + 0.566697i
\(393\) −3.32971 + 5.76722i −0.167962 + 0.290918i
\(394\) 15.3219i 0.771908i
\(395\) 0.0526290 0.196414i 0.00264805 0.00988266i
\(396\) 0.162109 + 0.604999i 0.00814629 + 0.0304024i
\(397\) 13.3468 13.3468i 0.669857 0.669857i −0.287826 0.957683i \(-0.592932\pi\)
0.957683 + 0.287826i \(0.0929323\pi\)
\(398\) −8.27184 + 8.27184i −0.414630 + 0.414630i
\(399\) 7.86832 8.78818i 0.393909 0.439960i
\(400\) −34.5960 19.9740i −1.72980 0.998700i
\(401\) −2.33975 + 8.73208i −0.116842 + 0.436059i −0.999418 0.0341098i \(-0.989140\pi\)
0.882576 + 0.470169i \(0.155807\pi\)
\(402\) 2.26654 + 3.92577i 0.113045 + 0.195800i
\(403\) 8.14314 1.27126i 0.405638 0.0633258i
\(404\) −0.907265 0.523810i −0.0451381 0.0260605i
\(405\) −3.59085 + 0.962166i −0.178431 + 0.0478104i
\(406\) −27.4346 + 30.6419i −1.36156 + 1.52073i
\(407\) −1.11432 + 0.643354i −0.0552349 + 0.0318899i
\(408\) 3.13423 + 11.6971i 0.155168 + 0.579094i
\(409\) −8.35698 + 2.23925i −0.413226 + 0.110724i −0.459442 0.888208i \(-0.651951\pi\)
0.0462157 + 0.998931i \(0.485284\pi\)
\(410\) −49.8333 + 13.3528i −2.46109 + 0.659447i
\(411\) 4.13276 + 15.4237i 0.203854 + 0.760793i
\(412\) 5.04424 2.91229i 0.248512 0.143478i
\(413\) 1.39862 + 4.26372i 0.0688217 + 0.209804i
\(414\) −3.07017 + 0.822648i −0.150890 + 0.0404310i
\(415\) 41.2127 + 23.7942i 2.02305 + 1.16801i
\(416\) 4.94064 3.98275i 0.242235 0.195271i
\(417\) −5.38449 9.32621i −0.263679 0.456706i
\(418\) 3.50243 13.0712i 0.171309 0.639335i
\(419\) −3.98045 2.29811i −0.194457 0.112270i 0.399610 0.916685i \(-0.369146\pi\)
−0.594068 + 0.804415i \(0.702479\pi\)
\(420\) 0.633421 3.02173i 0.0309078 0.147446i
\(421\) 16.2204 16.2204i 0.790532 0.790532i −0.191049 0.981581i \(-0.561189\pi\)
0.981581 + 0.191049i \(0.0611888\pi\)
\(422\) −10.2181 + 10.2181i −0.497411 + 0.497411i
\(423\) 1.16024 + 4.33009i 0.0564130 + 0.210536i
\(424\) 2.90739 10.8505i 0.141195 0.526948i
\(425\) 41.6435i 2.02000i
\(426\) 11.4016 19.7482i 0.552410 0.956803i
\(427\) 0.984954 + 17.8351i 0.0476653 + 0.863101i
\(428\) 1.67271i 0.0808533i
\(429\) −6.71077 2.59310i −0.323999 0.125196i
\(430\) 0.546505 0.315525i 0.0263548 0.0152160i
\(431\) −8.20333 + 8.20333i −0.395141 + 0.395141i −0.876515 0.481374i \(-0.840138\pi\)
0.481374 + 0.876515i \(0.340138\pi\)
\(432\) −3.92246 + 2.26463i −0.188719 + 0.108957i
\(433\) −0.155556 0.269431i −0.00747554 0.0129480i 0.862263 0.506460i \(-0.169046\pi\)
−0.869739 + 0.493512i \(0.835713\pi\)
\(434\) 4.15349 8.20863i 0.199374 0.394027i
\(435\) −36.6963 9.83275i −1.75945 0.471444i
\(436\) −2.48237 2.48237i −0.118884 0.118884i
\(437\) 8.99851 + 2.41114i 0.430457 + 0.115341i
\(438\) −7.99494 + 13.8476i −0.382013 + 0.661666i
\(439\) 10.2875 + 17.8185i 0.490996 + 0.850430i 0.999946 0.0103658i \(-0.00329959\pi\)
−0.508950 + 0.860796i \(0.669966\pi\)
\(440\) 4.92408 + 18.3769i 0.234746 + 0.876084i
\(441\) −6.95743 + 0.770807i −0.331306 + 0.0367051i
\(442\) 24.1549 + 9.33365i 1.14893 + 0.443956i
\(443\) 13.6460 23.6355i 0.648340 1.12296i −0.335179 0.942154i \(-0.608797\pi\)
0.983519 0.180804i \(-0.0578699\pi\)
\(444\) 0.143132 + 0.143132i 0.00679275 + 0.00679275i
\(445\) 26.6069 1.26129
\(446\) −26.0879 −1.23530
\(447\) 1.87483 + 1.87483i 0.0886766 + 0.0886766i
\(448\) 0.930958 + 16.8574i 0.0439836 + 0.796436i
\(449\) −1.99206 + 7.43447i −0.0940111 + 0.350854i −0.996868 0.0790877i \(-0.974799\pi\)
0.902857 + 0.429942i \(0.141466\pi\)
\(450\) 12.9594 3.47245i 0.610910 0.163693i
\(451\) 15.7652 + 9.10205i 0.742355 + 0.428599i
\(452\) 0.808452i 0.0380264i
\(453\) 3.46086 + 0.927335i 0.162606 + 0.0435700i
\(454\) −9.45734 −0.443855
\(455\) 23.7450 + 26.3400i 1.11318 + 1.23484i
\(456\) 11.4350 0.535494
\(457\) −22.7366 6.09225i −1.06357 0.284983i −0.315723 0.948852i \(-0.602247\pi\)
−0.747850 + 0.663868i \(0.768914\pi\)
\(458\) 7.38294i 0.344982i
\(459\) −4.08893 2.36075i −0.190855 0.110190i
\(460\) 2.35524 0.631084i 0.109814 0.0294245i
\(461\) 8.59300 32.0695i 0.400216 1.49363i −0.412495 0.910960i \(-0.635343\pi\)
0.812711 0.582666i \(-0.197991\pi\)
\(462\) −6.72260 + 4.39261i −0.312764 + 0.204363i
\(463\) −4.66625 4.66625i −0.216859 0.216859i 0.590314 0.807173i \(-0.299004\pi\)
−0.807173 + 0.590314i \(0.799004\pi\)
\(464\) −46.2864 −2.14879
\(465\) 8.49772 0.394072
\(466\) 14.1244 + 14.1244i 0.654301 + 0.654301i
\(467\) 7.16204 12.4050i 0.331420 0.574036i −0.651371 0.758760i \(-0.725806\pi\)
0.982790 + 0.184724i \(0.0591391\pi\)
\(468\) −0.120797 + 1.12532i −0.00558386 + 0.0520179i
\(469\) −5.25924 + 5.87408i −0.242849 + 0.271240i
\(470\) −6.56108 24.4863i −0.302640 1.12947i
\(471\) −4.98798 8.63943i −0.229834 0.398084i
\(472\) −2.17499 + 3.76719i −0.100112 + 0.173399i
\(473\) −0.215080 0.0576306i −0.00988941 0.00264986i
\(474\) 0.0588345 + 0.0588345i 0.00270236 + 0.00270236i
\(475\) −37.9833 10.1776i −1.74279 0.466979i
\(476\) 3.28259 2.14488i 0.150457 0.0983102i
\(477\) 2.18989 + 3.79299i 0.100268 + 0.173669i
\(478\) −11.6179 + 6.70762i −0.531392 + 0.306799i
\(479\) 10.4665 10.4665i 0.478227 0.478227i −0.426337 0.904564i \(-0.640196\pi\)
0.904564 + 0.426337i \(0.140196\pi\)
\(480\) 5.66651 3.27156i 0.258639 0.149326i
\(481\) −2.29723 + 0.358629i −0.104744 + 0.0163521i
\(482\) 13.9098i 0.633572i
\(483\) −3.02396 4.62798i −0.137595 0.210580i
\(484\) 1.10157 1.90797i 0.0500712 0.0867259i
\(485\) 45.9701i 2.08740i
\(486\) 0.393703 1.46932i 0.0178587 0.0666497i
\(487\) −8.58118 32.0254i −0.388851 1.45121i −0.832007 0.554766i \(-0.812808\pi\)
0.443156 0.896444i \(-0.353859\pi\)
\(488\) −12.2441 + 12.2441i −0.554266 + 0.554266i
\(489\) 0.822174 0.822174i 0.0371800 0.0371800i
\(490\) 39.3437 4.35885i 1.77737 0.196913i
\(491\) −17.1631 9.90909i −0.774558 0.447191i 0.0599403 0.998202i \(-0.480909\pi\)
−0.834498 + 0.551011i \(0.814242\pi\)
\(492\) 0.741204 2.76621i 0.0334161 0.124710i
\(493\) −24.1254 41.7864i −1.08655 1.88197i
\(494\) 14.4167 19.7507i 0.648637 0.888625i
\(495\) −6.42397 3.70888i −0.288736 0.166702i
\(496\) 10.0005 2.67962i 0.449034 0.120318i
\(497\) 38.8182 + 8.13714i 1.74123 + 0.365000i
\(498\) −16.8636 + 9.73620i −0.755676 + 0.436290i
\(499\) −6.00770 22.4211i −0.268942 1.00370i −0.959793 0.280708i \(-0.909431\pi\)
0.690852 0.722997i \(-0.257236\pi\)
\(500\) −4.30576 + 1.15372i −0.192559 + 0.0515961i
\(501\) −4.29785 + 1.15161i −0.192014 + 0.0514499i
\(502\) −5.30759 19.8082i −0.236889 0.884083i
\(503\) 24.2350 13.9921i 1.08059 0.623877i 0.149532 0.988757i \(-0.452223\pi\)
0.931055 + 0.364880i \(0.118890\pi\)
\(504\) −5.05561 4.52644i −0.225195 0.201624i
\(505\) 11.9842 3.21116i 0.533290 0.142895i
\(506\) −5.49247 3.17108i −0.244170 0.140972i
\(507\) −9.62224 8.74143i −0.427339 0.388220i
\(508\) −2.89647 5.01683i −0.128510 0.222586i
\(509\) −2.81831 + 10.5181i −0.124920 + 0.466206i −0.999837 0.0180663i \(-0.994249\pi\)
0.874917 + 0.484273i \(0.160916\pi\)
\(510\) 23.1226 + 13.3498i 1.02388 + 0.591140i
\(511\) −27.2197 5.70585i −1.20413 0.252412i
\(512\) −10.7916 + 10.7916i −0.476925 + 0.476925i
\(513\) −3.15258 + 3.15258i −0.139190 + 0.139190i
\(514\) −3.87820 14.4736i −0.171060 0.638405i
\(515\) −17.8535 + 66.6302i −0.786719 + 2.93608i
\(516\) 0.0350291i 0.00154207i
\(517\) −4.47242 + 7.74646i −0.196697 + 0.340689i
\(518\) −1.17172 + 2.31570i −0.0514826 + 0.101746i
\(519\) 19.6085i 0.860718i
\(520\) −3.66923 + 34.1816i −0.160906 + 1.49896i
\(521\) −19.3656 + 11.1808i −0.848424 + 0.489838i −0.860119 0.510094i \(-0.829611\pi\)
0.0116948 + 0.999932i \(0.496277\pi\)
\(522\) 10.9921 10.9921i 0.481113 0.481113i
\(523\) 15.6632 9.04313i 0.684902 0.395428i −0.116797 0.993156i \(-0.537263\pi\)
0.801699 + 0.597727i \(0.203929\pi\)
\(524\) 1.04520 + 1.81033i 0.0456596 + 0.0790847i
\(525\) 12.7643 + 19.5350i 0.557081 + 0.852576i
\(526\) 14.7491 + 3.95201i 0.643091 + 0.172316i
\(527\) 7.63156 + 7.63156i 0.332436 + 0.332436i
\(528\) −8.72953 2.33907i −0.379904 0.101795i
\(529\) −9.31696 + 16.1374i −0.405085 + 0.701628i
\(530\) −12.3836 21.4490i −0.537910 0.931687i
\(531\) −0.438963 1.63823i −0.0190494 0.0710932i
\(532\) −1.15410 3.51827i −0.0500364 0.152537i
\(533\) 20.6444 + 25.6095i 0.894208 + 1.10927i
\(534\) −5.44357 + 9.42854i −0.235566 + 0.408013i
\(535\) 14.0077 + 14.0077i 0.605605 + 0.605605i
\(536\) −7.64324 −0.330138
\(537\) −23.0627 −0.995230
\(538\) 32.5402 + 32.5402i 1.40291 + 1.40291i
\(539\) −10.9040 8.72887i −0.469667 0.375979i
\(540\) −0.302024 + 1.12717i −0.0129970 + 0.0485056i
\(541\) −10.0627 + 2.69630i −0.432630 + 0.115923i −0.468561 0.883431i \(-0.655227\pi\)
0.0359302 + 0.999354i \(0.488561\pi\)
\(542\) −23.0737 13.3216i −0.991100 0.572212i
\(543\) 20.5419i 0.881536i
\(544\) 8.02702 + 2.15083i 0.344156 + 0.0922162i
\(545\) 41.5761 1.78092
\(546\) −14.1920 + 3.02540i −0.607360 + 0.129475i
\(547\) 22.4723 0.960845 0.480422 0.877037i \(-0.340483\pi\)
0.480422 + 0.877037i \(0.340483\pi\)
\(548\) 4.84149 + 1.29727i 0.206818 + 0.0554168i
\(549\) 6.75131i 0.288139i
\(550\) 23.1841 + 13.3853i 0.988572 + 0.570752i
\(551\) −44.0099 + 11.7924i −1.87488 + 0.502374i
\(552\) 1.38707 5.17661i 0.0590375 0.220331i
\(553\) −0.0653383 + 0.129129i −0.00277847 + 0.00549113i
\(554\) −19.1871 19.1871i −0.815181 0.815181i
\(555\) −2.39726 −0.101758
\(556\) −3.38038 −0.143360
\(557\) 15.2428 + 15.2428i 0.645859 + 0.645859i 0.951990 0.306131i \(-0.0990344\pi\)
−0.306131 + 0.951990i \(0.599034\pi\)
\(558\) −1.73857 + 3.01128i −0.0735993 + 0.127478i
\(559\) −0.324987 0.237219i −0.0137455 0.0100333i
\(560\) 33.1894 + 29.7155i 1.40251 + 1.25571i
\(561\) −2.43834 9.10002i −0.102947 0.384203i
\(562\) −0.168174 0.291285i −0.00709397 0.0122871i
\(563\) 1.96849 3.40952i 0.0829618 0.143694i −0.821559 0.570123i \(-0.806895\pi\)
0.904521 + 0.426429i \(0.140229\pi\)
\(564\) 1.35922 + 0.364201i 0.0572334 + 0.0153356i
\(565\) −6.77019 6.77019i −0.284824 0.284824i
\(566\) 37.7774 + 10.1224i 1.58790 + 0.425478i
\(567\) 2.64173 0.145891i 0.110942 0.00612684i
\(568\) 19.2243 + 33.2974i 0.806633 + 1.39713i
\(569\) −27.7198 + 16.0040i −1.16207 + 0.670924i −0.951800 0.306718i \(-0.900769\pi\)
−0.210274 + 0.977642i \(0.567436\pi\)
\(570\) 17.8276 17.8276i 0.746715 0.746715i
\(571\) 7.22374 4.17063i 0.302304 0.174535i −0.341173 0.940000i \(-0.610824\pi\)
0.643477 + 0.765465i \(0.277491\pi\)
\(572\) −1.75818 + 1.41731i −0.0735131 + 0.0592605i
\(573\) 22.9816i 0.960068i
\(574\) 36.6615 2.02465i 1.53022 0.0845073i
\(575\) −9.21474 + 15.9604i −0.384281 + 0.665594i
\(576\) 6.38120i 0.265883i
\(577\) 6.49388 24.2355i 0.270344 1.00894i −0.688554 0.725185i \(-0.741754\pi\)
0.958898 0.283752i \(-0.0915792\pi\)
\(578\) 2.08368 + 7.77638i 0.0866695 + 0.323455i
\(579\) 5.51721 5.51721i 0.229287 0.229287i
\(580\) −8.43248 + 8.43248i −0.350140 + 0.350140i
\(581\) −25.2328 22.5917i −1.04683 0.937260i
\(582\) 16.2901 + 9.40512i 0.675248 + 0.389855i
\(583\) −2.26187 + 8.44140i −0.0936769 + 0.349607i
\(584\) −13.4803 23.3485i −0.557818 0.966169i
\(585\) −8.41213 10.4353i −0.347799 0.431447i
\(586\) −21.2349 12.2600i −0.877207 0.506456i
\(587\) −20.0251 + 5.36570i −0.826524 + 0.221466i −0.647197 0.762323i \(-0.724059\pi\)
−0.179327 + 0.983790i \(0.557392\pi\)
\(588\) −0.882429 + 2.01233i −0.0363908 + 0.0829869i
\(589\) 8.82593 5.09565i 0.363666 0.209963i
\(590\) 2.48230 + 9.26405i 0.102194 + 0.381395i
\(591\) 9.72938 2.60698i 0.400213 0.107237i
\(592\) −2.82119 + 0.755936i −0.115950 + 0.0310688i
\(593\) −0.0561154 0.209425i −0.00230438 0.00860007i 0.964764 0.263117i \(-0.0847504\pi\)
−0.967068 + 0.254516i \(0.918084\pi\)
\(594\) 2.62859 1.51761i 0.107852 0.0622685i
\(595\) −9.52753 + 45.4511i −0.390591 + 1.86331i
\(596\) 0.803921 0.215410i 0.0329299 0.00882354i
\(597\) 6.66002 + 3.84516i 0.272576 + 0.157372i
\(598\) −7.19234 8.92216i −0.294117 0.364854i
\(599\) 0.450193 + 0.779757i 0.0183944 + 0.0318600i 0.875076 0.483985i \(-0.160811\pi\)
−0.856682 + 0.515845i \(0.827478\pi\)
\(600\) −5.85489 + 21.8508i −0.239025 + 0.892054i
\(601\) −24.7998 14.3182i −1.01161 0.584051i −0.0999444 0.994993i \(-0.531866\pi\)
−0.911661 + 0.410942i \(0.865200\pi\)
\(602\) −0.426744 + 0.139984i −0.0173928 + 0.00570533i
\(603\) 2.10721 2.10721i 0.0858121 0.0858121i
\(604\) 0.795275 0.795275i 0.0323593 0.0323593i
\(605\) 6.75303 + 25.2027i 0.274550 + 1.02463i
\(606\) −1.31395 + 4.90374i −0.0533758 + 0.199201i
\(607\) 23.5452i 0.955671i −0.878449 0.477835i \(-0.841422\pi\)
0.878449 0.477835i \(-0.158578\pi\)
\(608\) 3.92358 6.79584i 0.159122 0.275608i
\(609\) 24.1254 + 12.2072i 0.977611 + 0.494663i
\(610\) 38.1781i 1.54578i
\(611\) −12.5836 + 10.1439i −0.509078 + 0.410379i
\(612\) −1.28352 + 0.741039i −0.0518831 + 0.0299547i
\(613\) 20.4541 20.4541i 0.826132 0.826132i −0.160848 0.986979i \(-0.551423\pi\)
0.986979 + 0.160848i \(0.0514228\pi\)
\(614\) −39.5183 + 22.8159i −1.59483 + 0.920775i
\(615\) 16.9580 + 29.3720i 0.683811 + 1.18439i
\(616\) −0.746626 13.5196i −0.0300824 0.544719i
\(617\) −17.9700 4.81504i −0.723444 0.193846i −0.121736 0.992563i \(-0.538846\pi\)
−0.601708 + 0.798716i \(0.705513\pi\)
\(618\) −19.9586 19.9586i −0.802854 0.802854i
\(619\) 40.9411 + 10.9701i 1.64556 + 0.440927i 0.958366 0.285543i \(-0.0921740\pi\)
0.687198 + 0.726471i \(0.258841\pi\)
\(620\) 1.33372 2.31007i 0.0535634 0.0927745i
\(621\) 1.04476 + 1.80957i 0.0419247 + 0.0726157i
\(622\) −9.46557 35.3260i −0.379535 1.41644i
\(623\) −18.5333 3.88498i −0.742521 0.155648i
\(624\) −13.1904 9.62808i −0.528037 0.385432i
\(625\) 4.34603 7.52754i 0.173841 0.301102i
\(626\) −24.9121 24.9121i −0.995688 0.995688i
\(627\) −8.89611 −0.355277
\(628\) −3.13146 −0.124959
\(629\) −2.15291 2.15291i −0.0858420 0.0858420i
\(630\) −14.9387 + 0.825000i −0.595173 + 0.0328688i
\(631\) 0.481180 1.79579i 0.0191555 0.0714893i −0.955686 0.294386i \(-0.904885\pi\)
0.974842 + 0.222897i \(0.0715514\pi\)
\(632\) −0.135511 + 0.0363100i −0.00539034 + 0.00144434i
\(633\) 8.22707 + 4.74990i 0.326997 + 0.188792i
\(634\) 31.1168i 1.23580i
\(635\) 66.2681 + 17.7565i 2.62977 + 0.704644i
\(636\) 1.37481 0.0545148
\(637\) −12.6937 21.8144i −0.502945 0.864319i
\(638\) 31.0182 1.22802
\(639\) −14.4800 3.87990i −0.572819 0.153486i
\(640\) 49.1713i 1.94367i
\(641\) 21.5514 + 12.4427i 0.851231 + 0.491458i 0.861066 0.508493i \(-0.169797\pi\)
−0.00983531 + 0.999952i \(0.503131\pi\)
\(642\) −7.82968 + 2.09796i −0.309013 + 0.0827997i
\(643\) 2.77769 10.3665i 0.109541 0.408814i −0.889279 0.457364i \(-0.848794\pi\)
0.998821 + 0.0485507i \(0.0154602\pi\)
\(644\) −1.73271 + 0.0956898i −0.0682782 + 0.00377071i
\(645\) −0.293343 0.293343i −0.0115504 0.0115504i
\(646\) 32.0209 1.25984
\(647\) −13.4344 −0.528163 −0.264081 0.964500i \(-0.585069\pi\)
−0.264081 + 0.964500i \(0.585069\pi\)
\(648\) 1.81360 + 1.81360i 0.0712448 + 0.0712448i
\(649\) 1.69208 2.93077i 0.0664199 0.115043i
\(650\) 30.3593 + 37.6610i 1.19079 + 1.47718i
\(651\) −5.91916 1.24078i −0.231990 0.0486301i
\(652\) −0.0944641 0.352545i −0.00369950 0.0138067i
\(653\) 10.8493 + 18.7915i 0.424566 + 0.735370i 0.996380 0.0850136i \(-0.0270934\pi\)
−0.571814 + 0.820383i \(0.693760\pi\)
\(654\) −8.50613 + 14.7331i −0.332616 + 0.576108i
\(655\) −23.9130 6.40746i −0.934357 0.250360i
\(656\) 29.2188 + 29.2188i 1.14080 + 1.14080i
\(657\) 10.1535 + 2.72063i 0.396127 + 0.106142i
\(658\) 0.994841 + 18.0141i 0.0387829 + 0.702264i
\(659\) −6.28037 10.8779i −0.244648 0.423744i 0.717384 0.696678i \(-0.245339\pi\)
−0.962033 + 0.272934i \(0.912006\pi\)
\(660\) −2.01649 + 1.16422i −0.0784916 + 0.0453172i
\(661\) −3.54671 + 3.54671i −0.137951 + 0.137951i −0.772710 0.634759i \(-0.781099\pi\)
0.634759 + 0.772710i \(0.281099\pi\)
\(662\) 27.6316 15.9531i 1.07393 0.620035i
\(663\) 1.81696 16.9263i 0.0705649 0.657365i
\(664\) 32.8324i 1.27414i
\(665\) 39.1277 + 19.7983i 1.51731 + 0.767744i
\(666\) 0.490459 0.849500i 0.0190049 0.0329175i
\(667\) 21.3536i 0.826814i
\(668\) −0.361489 + 1.34910i −0.0139864 + 0.0521981i
\(669\) 4.43878 + 16.5658i 0.171613 + 0.640469i
\(670\) −11.9161 + 11.9161i −0.460358 + 0.460358i
\(671\) 9.52560 9.52560i 0.367732 0.367732i
\(672\) −4.42474 + 1.45144i −0.170688 + 0.0559906i
\(673\) −24.8578 14.3517i −0.958198 0.553216i −0.0625799 0.998040i \(-0.519933\pi\)
−0.895618 + 0.444824i \(0.853266\pi\)
\(674\) 11.8262 44.1360i 0.455528 1.70005i
\(675\) −4.40999 7.63832i −0.169740 0.293999i
\(676\) −3.88653 + 1.24380i −0.149482 + 0.0478383i
\(677\) −24.1896 13.9659i −0.929683 0.536753i −0.0429716 0.999076i \(-0.513682\pi\)
−0.886711 + 0.462324i \(0.847016\pi\)
\(678\) 3.78424 1.01398i 0.145333 0.0389418i
\(679\) −6.71227 + 32.0209i −0.257593 + 1.22885i
\(680\) −38.9870 + 22.5091i −1.49508 + 0.863186i
\(681\) 1.60914 + 6.00538i 0.0616623 + 0.230127i
\(682\) −6.70169 + 1.79571i −0.256621 + 0.0687613i
\(683\) 34.0427 9.12171i 1.30261 0.349033i 0.460172 0.887830i \(-0.347788\pi\)
0.842435 + 0.538797i \(0.181121\pi\)
\(684\) 0.362217 + 1.35181i 0.0138497 + 0.0516879i
\(685\) −51.4077 + 29.6802i −1.96419 + 1.13402i
\(686\) −28.0416 2.70852i −1.07063 0.103412i
\(687\) 4.68814 1.25618i 0.178864 0.0479264i
\(688\) −0.437720 0.252718i −0.0166879 0.00963477i
\(689\) −9.31029 + 12.7550i −0.354694 + 0.485926i
\(690\) −5.90802 10.2330i −0.224914 0.389563i
\(691\) −2.33123 + 8.70025i −0.0886840 + 0.330973i −0.995986 0.0895057i \(-0.971471\pi\)
0.907302 + 0.420479i \(0.138138\pi\)
\(692\) −5.33048 3.07756i −0.202635 0.116991i
\(693\) 3.93312 + 3.52144i 0.149407 + 0.133768i
\(694\) 2.05443 2.05443i 0.0779849 0.0779849i
\(695\) 28.3082 28.3082i 1.07379 1.07379i
\(696\) 6.78386 + 25.3177i 0.257142 + 0.959666i
\(697\) −11.1487 + 41.6076i −0.422288 + 1.57600i
\(698\) 5.08071i 0.192308i
\(699\) 6.56573 11.3722i 0.248339 0.430135i
\(700\) 7.31386 0.403912i 0.276438 0.0152664i
\(701\) 10.4155i 0.393389i −0.980465 0.196695i \(-0.936979\pi\)
0.980465 0.196695i \(-0.0630207\pi\)
\(702\) 5.41895 0.845973i 0.204525 0.0319292i
\(703\) −2.48985 + 1.43751i −0.0939063 + 0.0542168i
\(704\) 9.00339 9.00339i 0.339328 0.339328i
\(705\) −14.4324 + 8.33253i −0.543554 + 0.313821i
\(706\) 7.58055 + 13.1299i 0.285298 + 0.494150i
\(707\) −8.81657 + 0.486900i −0.331581 + 0.0183118i
\(708\) −0.514241 0.137790i −0.0193264 0.00517848i
\(709\) 18.9866 + 18.9866i 0.713058 + 0.713058i 0.967174 0.254116i \(-0.0817845\pi\)
−0.254116 + 0.967174i \(0.581784\pi\)
\(710\) 81.8831 + 21.9405i 3.07302 + 0.823412i
\(711\) 0.0273492 0.0473702i 0.00102568 0.00177652i
\(712\) −9.17840 15.8975i −0.343975 0.595782i
\(713\) −1.23621 4.61358i −0.0462963 0.172780i
\(714\) −14.1570 12.6751i −0.529811 0.474355i
\(715\) 2.85456 26.5923i 0.106754 0.994497i
\(716\) −3.61970 + 6.26950i −0.135274 + 0.234302i
\(717\) 6.23607 + 6.23607i 0.232890 + 0.232890i
\(718\) −21.0570 −0.785842
\(719\) 36.9778 1.37904 0.689519 0.724267i \(-0.257822\pi\)
0.689519 + 0.724267i \(0.257822\pi\)
\(720\) −11.9060 11.9060i −0.443711 0.443711i
\(721\) 22.1649 43.8049i 0.825465 1.63138i
\(722\) 0.345482 1.28936i 0.0128575 0.0479849i
\(723\) −8.83265 + 2.36670i −0.328490 + 0.0880186i
\(724\) 5.58422 + 3.22405i 0.207536 + 0.119821i
\(725\) 90.1348i 3.34752i
\(726\) −10.3125 2.76323i −0.382734 0.102553i
\(727\) −32.7889 −1.21607 −0.608037 0.793909i \(-0.708043\pi\)
−0.608037 + 0.793909i \(0.708043\pi\)
\(728\) 7.54682 23.2737i 0.279704 0.862582i
\(729\) −1.00000 −0.0370370
\(730\) −57.4173 15.3849i −2.12511 0.569421i
\(731\) 0.526887i 0.0194876i
\(732\) −1.83531 1.05962i −0.0678351 0.0391646i
\(733\) 11.9130 3.19209i 0.440018 0.117902i −0.0320071 0.999488i \(-0.510190\pi\)
0.472025 + 0.881585i \(0.343523\pi\)
\(734\) −10.3283 + 38.5459i −0.381226 + 1.42275i
\(735\) −9.46206 24.2415i −0.349013 0.894160i
\(736\) −2.60053 2.60053i −0.0958568 0.0958568i
\(737\) 5.94622 0.219032
\(738\) −13.8778 −0.510851
\(739\) −3.35344 3.35344i −0.123358 0.123358i 0.642733 0.766091i \(-0.277801\pi\)
−0.766091 + 0.642733i \(0.777801\pi\)
\(740\) −0.376250 + 0.651683i −0.0138312 + 0.0239564i
\(741\) −14.9946 5.79403i −0.550839 0.212849i
\(742\) 5.49405 + 16.7487i 0.201693 + 0.614863i
\(743\) −6.39444 23.8644i −0.234589 0.875499i −0.978334 0.207035i \(-0.933619\pi\)
0.743745 0.668464i \(-0.233048\pi\)
\(744\) −2.93139 5.07732i −0.107470 0.186144i
\(745\) −4.92835 + 8.53615i −0.180561 + 0.312740i
\(746\) −21.1296 5.66166i −0.773609 0.207288i
\(747\) 9.05174 + 9.05174i 0.331186 + 0.331186i
\(748\) −2.85650 0.765397i −0.104444 0.0279857i
\(749\) −7.71185 11.8025i −0.281785 0.431253i
\(750\) 10.8008 + 18.7075i 0.394390 + 0.683103i
\(751\) 15.6847 9.05557i 0.572343 0.330443i −0.185741 0.982599i \(-0.559469\pi\)
0.758085 + 0.652156i \(0.226135\pi\)
\(752\) −14.3571 + 14.3571i −0.523549 + 0.523549i
\(753\) −11.6751 + 6.74060i −0.425463 + 0.245641i
\(754\) 52.2818 + 20.2021i 1.90399 + 0.735718i
\(755\) 13.3197i 0.484753i
\(756\) 0.374959 0.741039i 0.0136371 0.0269513i
\(757\) −20.3244 + 35.2029i −0.738704 + 1.27947i 0.214375 + 0.976751i \(0.431229\pi\)
−0.953079 + 0.302722i \(0.902105\pi\)
\(758\) 1.74763i 0.0634768i
\(759\) −1.07910 + 4.02725i −0.0391688 + 0.146180i
\(760\) 11.0024 + 41.0614i 0.399098 + 1.48945i
\(761\) −18.2921 + 18.2921i −0.663087 + 0.663087i −0.956107 0.293019i \(-0.905340\pi\)
0.293019 + 0.956107i \(0.405340\pi\)
\(762\) −19.8502 + 19.8502i −0.719096 + 0.719096i
\(763\) −28.9602 6.07068i −1.04843 0.219773i
\(764\) 6.24743 + 3.60696i 0.226024 + 0.130495i
\(765\) 4.54286 16.9542i 0.164247 0.612980i
\(766\) −15.7039 27.1999i −0.567404 0.982773i
\(767\) 4.76083 3.83781i 0.171904 0.138575i
\(768\) −6.37199 3.67887i −0.229929 0.132750i
\(769\) −3.03465 + 0.813131i −0.109432 + 0.0293223i −0.313120 0.949714i \(-0.601374\pi\)
0.203687 + 0.979036i \(0.434707\pi\)
\(770\) −22.2415 19.9134i −0.801527 0.717630i
\(771\) −8.53085 + 4.92529i −0.307231 + 0.177380i
\(772\) −0.633902 2.36575i −0.0228146 0.0851454i
\(773\) 41.1448 11.0247i 1.47987 0.396531i 0.573570 0.819157i \(-0.305558\pi\)