Properties

Label 91.2.k.b.4.6
Level $91$
Weight $2$
Character 91.4
Analytic conductor $0.727$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.k (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: 12.0.2346760387617129.1
Defining polynomial: \(x^{12} - 3 x^{11} + x^{10} + 10 x^{9} - 15 x^{8} - 10 x^{7} + 45 x^{6} - 20 x^{5} - 60 x^{4} + 80 x^{3} + 16 x^{2} - 96 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 4.6
Root \(1.21245 + 0.727987i\) of defining polynomial
Character \(\chi\) \(=\) 91.4
Dual form 91.2.k.b.23.1

$q$-expansion

\(f(q)\) \(=\) \(q+2.30327i q^{2} +(0.736680 + 1.27597i) q^{3} -3.30504 q^{4} +(0.733776 - 0.423646i) q^{5} +(-2.93889 + 1.69677i) q^{6} +(-0.357777 - 2.62145i) q^{7} -3.00585i q^{8} +(0.414604 - 0.718115i) q^{9} +O(q^{10})\) \(q+2.30327i q^{2} +(0.736680 + 1.27597i) q^{3} -3.30504 q^{4} +(0.733776 - 0.423646i) q^{5} +(-2.93889 + 1.69677i) q^{6} +(-0.357777 - 2.62145i) q^{7} -3.00585i q^{8} +(0.414604 - 0.718115i) q^{9} +(0.975769 + 1.69008i) q^{10} +(1.30198 - 0.751701i) q^{11} +(-2.43476 - 4.21712i) q^{12} +(-2.92329 + 2.11054i) q^{13} +(6.03790 - 0.824057i) q^{14} +(1.08112 + 0.624183i) q^{15} +0.313194 q^{16} -2.07140 q^{17} +(1.65401 + 0.954943i) q^{18} +(0.0410731 + 0.0237136i) q^{19} +(-2.42516 + 1.40016i) q^{20} +(3.08132 - 2.38768i) q^{21} +(1.73137 + 2.99882i) q^{22} +7.81870 q^{23} +(3.83536 - 2.21435i) q^{24} +(-2.14105 + 3.70840i) q^{25} +(-4.86115 - 6.73311i) q^{26} +5.64180 q^{27} +(1.18247 + 8.66399i) q^{28} +(-0.679854 + 1.17754i) q^{29} +(-1.43766 + 2.49010i) q^{30} +(-6.80787 - 3.93052i) q^{31} -5.29033i q^{32} +(1.91829 + 1.10753i) q^{33} -4.77099i q^{34} +(-1.37309 - 1.77199i) q^{35} +(-1.37028 + 2.37340i) q^{36} -6.70219i q^{37} +(-0.0546187 + 0.0946024i) q^{38} +(-4.84652 - 2.17522i) q^{39} +(-1.27341 - 2.20562i) q^{40} +(-8.67622 - 5.00922i) q^{41} +(5.49947 + 7.09710i) q^{42} +(4.63283 + 8.02430i) q^{43} +(-4.30311 + 2.48440i) q^{44} -0.702581i q^{45} +18.0086i q^{46} +(-0.311781 + 0.180007i) q^{47} +(0.230724 + 0.399625i) q^{48} +(-6.74399 + 1.87579i) q^{49} +(-8.54144 - 4.93141i) q^{50} +(-1.52596 - 2.64304i) q^{51} +(9.66157 - 6.97543i) q^{52} +(-1.35591 + 2.34850i) q^{53} +12.9946i q^{54} +(0.636910 - 1.10316i) q^{55} +(-7.87968 + 1.07542i) q^{56} +0.0698773i q^{57} +(-2.71219 - 1.56588i) q^{58} -1.64120i q^{59} +(-3.57313 - 2.06295i) q^{60} +(-2.26097 + 3.91612i) q^{61} +(9.05305 - 15.6803i) q^{62} +(-2.03084 - 0.829938i) q^{63} +12.8114 q^{64} +(-1.25091 + 2.78711i) q^{65} +(-2.55093 + 4.41834i) q^{66} +(-1.76900 + 1.02133i) q^{67} +6.84606 q^{68} +(5.75988 + 9.97641i) q^{69} +(4.08136 - 3.16260i) q^{70} +(12.3096 - 7.10697i) q^{71} +(-2.15854 - 1.24624i) q^{72} +(5.85563 + 3.38075i) q^{73} +15.4369 q^{74} -6.30907 q^{75} +(-0.135748 - 0.0783743i) q^{76} +(-2.43637 - 3.14414i) q^{77} +(5.01012 - 11.1628i) q^{78} +(-5.82952 - 10.0970i) q^{79} +(0.229814 - 0.132683i) q^{80} +(2.91240 + 5.04442i) q^{81} +(11.5376 - 19.9837i) q^{82} +11.5362i q^{83} +(-10.1839 + 7.89138i) q^{84} +(-1.51994 + 0.877541i) q^{85} +(-18.4821 + 10.6706i) q^{86} -2.00334 q^{87} +(-2.25950 - 3.91357i) q^{88} +17.5112i q^{89} +1.61823 q^{90} +(6.57857 + 6.90814i) q^{91} -25.8411 q^{92} -11.5822i q^{93} +(-0.414604 - 0.718115i) q^{94} +0.0401846 q^{95} +(6.75029 - 3.89728i) q^{96} +(0.369125 - 0.213115i) q^{97} +(-4.32044 - 15.5332i) q^{98} -1.24663i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 3q^{3} - 8q^{4} - 3q^{5} - 9q^{6} - 3q^{7} - q^{9} + O(q^{10}) \) \( 12q - 3q^{3} - 8q^{4} - 3q^{5} - 9q^{6} - 3q^{7} - q^{9} + 12q^{10} + 12q^{11} - q^{12} - 2q^{13} + 4q^{14} - 12q^{15} + 16q^{16} - 34q^{17} + 3q^{18} + 9q^{19} - 3q^{20} + 21q^{21} - 15q^{22} - 6q^{23} + 15q^{24} - 5q^{25} - 6q^{26} + 12q^{27} - 9q^{28} - q^{29} + 11q^{30} + 18q^{31} - 6q^{33} - 6q^{35} - 13q^{36} + 19q^{38} - 4q^{39} - q^{40} - 6q^{41} - 8q^{42} + 11q^{43} - 33q^{44} - 15q^{47} + 19q^{48} - 3q^{49} + 18q^{50} + 4q^{51} - 7q^{52} - 8q^{53} - 15q^{55} + 27q^{56} - 24q^{58} - 30q^{60} + 5q^{61} + 41q^{62} - 30q^{63} + 2q^{64} + 21q^{65} - 34q^{66} + 15q^{67} + 22q^{68} + 7q^{69} + 3q^{70} + 30q^{71} + 57q^{72} + 42q^{73} + 66q^{74} - 2q^{75} - 45q^{76} - 19q^{77} + 44q^{78} - 35q^{79} - 63q^{80} + 14q^{81} + 5q^{82} - 12q^{84} - 21q^{85} - 57q^{86} - 20q^{87} - 14q^{88} - 7q^{91} - 66q^{92} + q^{94} - 4q^{95} + 21q^{96} - 3q^{97} - 18q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.30327i 1.62866i 0.580405 + 0.814328i \(0.302894\pi\)
−0.580405 + 0.814328i \(0.697106\pi\)
\(3\) 0.736680 + 1.27597i 0.425323 + 0.736680i 0.996451 0.0841807i \(-0.0268273\pi\)
−0.571128 + 0.820861i \(0.693494\pi\)
\(4\) −3.30504 −1.65252
\(5\) 0.733776 0.423646i 0.328155 0.189460i −0.326867 0.945070i \(-0.605993\pi\)
0.655022 + 0.755610i \(0.272660\pi\)
\(6\) −2.93889 + 1.69677i −1.19980 + 0.692704i
\(7\) −0.357777 2.62145i −0.135227 0.990815i
\(8\) 3.00585i 1.06273i
\(9\) 0.414604 0.718115i 0.138201 0.239372i
\(10\) 0.975769 + 1.69008i 0.308565 + 0.534451i
\(11\) 1.30198 0.751701i 0.392563 0.226646i −0.290707 0.956812i \(-0.593890\pi\)
0.683270 + 0.730166i \(0.260557\pi\)
\(12\) −2.43476 4.21712i −0.702853 1.21738i
\(13\) −2.92329 + 2.11054i −0.810774 + 0.585360i
\(14\) 6.03790 0.824057i 1.61370 0.220238i
\(15\) 1.08112 + 0.624183i 0.279143 + 0.161163i
\(16\) 0.313194 0.0782985
\(17\) −2.07140 −0.502389 −0.251194 0.967937i \(-0.580823\pi\)
−0.251194 + 0.967937i \(0.580823\pi\)
\(18\) 1.65401 + 0.954943i 0.389854 + 0.225082i
\(19\) 0.0410731 + 0.0237136i 0.00942282 + 0.00544027i 0.504704 0.863292i \(-0.331602\pi\)
−0.495281 + 0.868733i \(0.664935\pi\)
\(20\) −2.42516 + 1.40016i −0.542282 + 0.313086i
\(21\) 3.08132 2.38768i 0.672399 0.521035i
\(22\) 1.73137 + 2.99882i 0.369129 + 0.639350i
\(23\) 7.81870 1.63031 0.815156 0.579241i \(-0.196651\pi\)
0.815156 + 0.579241i \(0.196651\pi\)
\(24\) 3.83536 2.21435i 0.782891 0.452002i
\(25\) −2.14105 + 3.70840i −0.428210 + 0.741681i
\(26\) −4.86115 6.73311i −0.953349 1.32047i
\(27\) 5.64180 1.08577
\(28\) 1.18247 + 8.66399i 0.223465 + 1.63734i
\(29\) −0.679854 + 1.17754i −0.126246 + 0.218664i −0.922219 0.386668i \(-0.873626\pi\)
0.795973 + 0.605331i \(0.206959\pi\)
\(30\) −1.43766 + 2.49010i −0.262480 + 0.454628i
\(31\) −6.80787 3.93052i −1.22273 0.705943i −0.257230 0.966350i \(-0.582810\pi\)
−0.965499 + 0.260407i \(0.916143\pi\)
\(32\) 5.29033i 0.935206i
\(33\) 1.91829 + 1.10753i 0.333932 + 0.192796i
\(34\) 4.77099i 0.818218i
\(35\) −1.37309 1.77199i −0.232095 0.299520i
\(36\) −1.37028 + 2.37340i −0.228380 + 0.395566i
\(37\) 6.70219i 1.10183i −0.834560 0.550917i \(-0.814278\pi\)
0.834560 0.550917i \(-0.185722\pi\)
\(38\) −0.0546187 + 0.0946024i −0.00886032 + 0.0153465i
\(39\) −4.84652 2.17522i −0.776064 0.348314i
\(40\) −1.27341 2.20562i −0.201345 0.348739i
\(41\) −8.67622 5.00922i −1.35500 0.782309i −0.366054 0.930594i \(-0.619291\pi\)
−0.988945 + 0.148285i \(0.952625\pi\)
\(42\) 5.49947 + 7.09710i 0.848587 + 1.09511i
\(43\) 4.63283 + 8.02430i 0.706500 + 1.22369i 0.966147 + 0.257991i \(0.0830604\pi\)
−0.259647 + 0.965704i \(0.583606\pi\)
\(44\) −4.30311 + 2.48440i −0.648718 + 0.374537i
\(45\) 0.702581i 0.104735i
\(46\) 18.0086i 2.65522i
\(47\) −0.311781 + 0.180007i −0.0454779 + 0.0262567i −0.522567 0.852598i \(-0.675025\pi\)
0.477089 + 0.878855i \(0.341692\pi\)
\(48\) 0.230724 + 0.399625i 0.0333021 + 0.0576810i
\(49\) −6.74399 + 1.87579i −0.963427 + 0.267970i
\(50\) −8.54144 4.93141i −1.20794 0.697406i
\(51\) −1.52596 2.64304i −0.213677 0.370100i
\(52\) 9.66157 6.97543i 1.33982 0.967318i
\(53\) −1.35591 + 2.34850i −0.186248 + 0.322591i −0.943996 0.329956i \(-0.892966\pi\)
0.757748 + 0.652547i \(0.226299\pi\)
\(54\) 12.9946i 1.76834i
\(55\) 0.636910 1.10316i 0.0858809 0.148750i
\(56\) −7.87968 + 1.07542i −1.05297 + 0.143710i
\(57\) 0.0698773i 0.00925548i
\(58\) −2.71219 1.56588i −0.356128 0.205611i
\(59\) 1.64120i 0.213666i −0.994277 0.106833i \(-0.965929\pi\)
0.994277 0.106833i \(-0.0340709\pi\)
\(60\) −3.57313 2.06295i −0.461289 0.266325i
\(61\) −2.26097 + 3.91612i −0.289488 + 0.501407i −0.973688 0.227887i \(-0.926818\pi\)
0.684200 + 0.729295i \(0.260152\pi\)
\(62\) 9.05305 15.6803i 1.14974 1.99140i
\(63\) −2.03084 0.829938i −0.255861 0.104562i
\(64\) 12.8114 1.60143
\(65\) −1.25091 + 2.78711i −0.155157 + 0.345698i
\(66\) −2.55093 + 4.41834i −0.313998 + 0.543860i
\(67\) −1.76900 + 1.02133i −0.216117 + 0.124775i −0.604151 0.796870i \(-0.706488\pi\)
0.388034 + 0.921645i \(0.373154\pi\)
\(68\) 6.84606 0.830206
\(69\) 5.75988 + 9.97641i 0.693409 + 1.20102i
\(70\) 4.08136 3.16260i 0.487815 0.378003i
\(71\) 12.3096 7.10697i 1.46088 0.843442i 0.461832 0.886967i \(-0.347192\pi\)
0.999052 + 0.0435255i \(0.0138590\pi\)
\(72\) −2.15854 1.24624i −0.254387 0.146870i
\(73\) 5.85563 + 3.38075i 0.685349 + 0.395687i 0.801867 0.597502i \(-0.203840\pi\)
−0.116518 + 0.993189i \(0.537173\pi\)
\(74\) 15.4369 1.79451
\(75\) −6.30907 −0.728509
\(76\) −0.135748 0.0783743i −0.0155714 0.00899015i
\(77\) −2.43637 3.14414i −0.277650 0.358308i
\(78\) 5.01012 11.1628i 0.567284 1.26394i
\(79\) −5.82952 10.0970i −0.655873 1.13600i −0.981674 0.190567i \(-0.938967\pi\)
0.325801 0.945438i \(-0.394366\pi\)
\(80\) 0.229814 0.132683i 0.0256940 0.0148344i
\(81\) 2.91240 + 5.04442i 0.323600 + 0.560491i
\(82\) 11.5376 19.9837i 1.27411 2.20683i
\(83\) 11.5362i 1.26627i 0.774043 + 0.633133i \(0.218232\pi\)
−0.774043 + 0.633133i \(0.781768\pi\)
\(84\) −10.1839 + 7.89138i −1.11115 + 0.861020i
\(85\) −1.51994 + 0.877541i −0.164861 + 0.0951826i
\(86\) −18.4821 + 10.6706i −1.99298 + 1.15065i
\(87\) −2.00334 −0.214781
\(88\) −2.25950 3.91357i −0.240863 0.417188i
\(89\) 17.5112i 1.85619i 0.372350 + 0.928093i \(0.378552\pi\)
−0.372350 + 0.928093i \(0.621448\pi\)
\(90\) 1.61823 0.170576
\(91\) 6.57857 + 6.90814i 0.689622 + 0.724170i
\(92\) −25.8411 −2.69412
\(93\) 11.5822i 1.20101i
\(94\) −0.414604 0.718115i −0.0427631 0.0740679i
\(95\) 0.0401846 0.00412286
\(96\) 6.75029 3.89728i 0.688948 0.397764i
\(97\) 0.369125 0.213115i 0.0374790 0.0216385i −0.481143 0.876642i \(-0.659778\pi\)
0.518622 + 0.855003i \(0.326445\pi\)
\(98\) −4.32044 15.5332i −0.436431 1.56909i
\(99\) 1.24663i 0.125291i
\(100\) 7.07624 12.2564i 0.707624 1.22564i
\(101\) 4.83499 + 8.37444i 0.481099 + 0.833288i 0.999765 0.0216891i \(-0.00690441\pi\)
−0.518666 + 0.854977i \(0.673571\pi\)
\(102\) 6.08763 3.51469i 0.602765 0.348007i
\(103\) −4.98912 8.64140i −0.491592 0.851463i 0.508361 0.861144i \(-0.330252\pi\)
−0.999953 + 0.00968129i \(0.996918\pi\)
\(104\) 6.34397 + 8.78695i 0.622078 + 0.861631i
\(105\) 1.24947 3.05741i 0.121935 0.298373i
\(106\) −5.40922 3.12301i −0.525390 0.303334i
\(107\) 9.86223 0.953417 0.476709 0.879061i \(-0.341830\pi\)
0.476709 + 0.879061i \(0.341830\pi\)
\(108\) −18.6464 −1.79425
\(109\) −10.0507 5.80275i −0.962679 0.555803i −0.0656822 0.997841i \(-0.520922\pi\)
−0.896996 + 0.442038i \(0.854256\pi\)
\(110\) 2.54087 + 1.46697i 0.242263 + 0.139870i
\(111\) 8.55178 4.93737i 0.811699 0.468635i
\(112\) −0.112054 0.821022i −0.0105881 0.0775793i
\(113\) 1.73879 + 3.01167i 0.163572 + 0.283314i 0.936147 0.351609i \(-0.114365\pi\)
−0.772576 + 0.634923i \(0.781032\pi\)
\(114\) −0.160946 −0.0150740
\(115\) 5.73718 3.31236i 0.534994 0.308879i
\(116\) 2.24694 3.89182i 0.208623 0.361346i
\(117\) 0.303608 + 2.97429i 0.0280686 + 0.274974i
\(118\) 3.78011 0.347987
\(119\) 0.741100 + 5.43007i 0.0679366 + 0.497774i
\(120\) 1.87620 3.24967i 0.171273 0.296653i
\(121\) −4.36989 + 7.56887i −0.397263 + 0.688079i
\(122\) −9.01986 5.20762i −0.816620 0.471476i
\(123\) 14.7608i 1.33093i
\(124\) 22.5003 + 12.9905i 2.02058 + 1.16658i
\(125\) 7.86464i 0.703435i
\(126\) 1.91157 4.67756i 0.170296 0.416710i
\(127\) −7.84992 + 13.5965i −0.696567 + 1.20649i 0.273082 + 0.961991i \(0.411957\pi\)
−0.969649 + 0.244499i \(0.921376\pi\)
\(128\) 18.9275i 1.67297i
\(129\) −6.82583 + 11.8227i −0.600981 + 1.04093i
\(130\) −6.41945 2.88119i −0.563023 0.252697i
\(131\) 1.27259 + 2.20418i 0.111186 + 0.192580i 0.916249 0.400610i \(-0.131202\pi\)
−0.805063 + 0.593190i \(0.797868\pi\)
\(132\) −6.34003 3.66042i −0.551829 0.318598i
\(133\) 0.0474689 0.116155i 0.00411608 0.0100719i
\(134\) −2.35240 4.07447i −0.203216 0.351981i
\(135\) 4.13982 2.39013i 0.356299 0.205709i
\(136\) 6.22632i 0.533902i
\(137\) 1.86472i 0.159314i 0.996822 + 0.0796571i \(0.0253825\pi\)
−0.996822 + 0.0796571i \(0.974617\pi\)
\(138\) −22.9783 + 13.2665i −1.95605 + 1.12932i
\(139\) −7.80462 13.5180i −0.661979 1.14658i −0.980095 0.198530i \(-0.936383\pi\)
0.318116 0.948052i \(-0.396950\pi\)
\(140\) 4.53813 + 5.85648i 0.383542 + 0.494963i
\(141\) −0.459366 0.265215i −0.0386856 0.0223351i
\(142\) 16.3692 + 28.3524i 1.37368 + 2.37928i
\(143\) −2.21957 + 4.94533i −0.185610 + 0.413550i
\(144\) 0.129851 0.224909i 0.0108209 0.0187424i
\(145\) 1.15207i 0.0956741i
\(146\) −7.78676 + 13.4871i −0.644437 + 1.11620i
\(147\) −7.36161 7.22326i −0.607176 0.595764i
\(148\) 22.1510i 1.82080i
\(149\) 5.51106 + 3.18181i 0.451484 + 0.260664i 0.708457 0.705754i \(-0.249392\pi\)
−0.256973 + 0.966419i \(0.582725\pi\)
\(150\) 14.5315i 1.18649i
\(151\) 0.575122 + 0.332047i 0.0468028 + 0.0270216i 0.523219 0.852198i \(-0.324731\pi\)
−0.476416 + 0.879220i \(0.658064\pi\)
\(152\) 0.0712794 0.123460i 0.00578152 0.0100139i
\(153\) −0.858811 + 1.48750i −0.0694307 + 0.120258i
\(154\) 7.24180 5.61160i 0.583561 0.452196i
\(155\) −6.66060 −0.534992
\(156\) 16.0179 + 7.18919i 1.28246 + 0.575596i
\(157\) 8.28798 14.3552i 0.661453 1.14567i −0.318781 0.947828i \(-0.603273\pi\)
0.980234 0.197842i \(-0.0633933\pi\)
\(158\) 23.2562 13.4269i 1.85016 1.06819i
\(159\) −3.99548 −0.316862
\(160\) −2.24122 3.88191i −0.177184 0.306892i
\(161\) −2.79735 20.4963i −0.220462 1.61534i
\(162\) −11.6186 + 6.70802i −0.912846 + 0.527032i
\(163\) 7.83863 + 4.52563i 0.613969 + 0.354475i 0.774517 0.632553i \(-0.217993\pi\)
−0.160548 + 0.987028i \(0.551326\pi\)
\(164\) 28.6752 + 16.5557i 2.23916 + 1.29278i
\(165\) 1.87680 0.146108
\(166\) −26.5710 −2.06231
\(167\) −2.30156 1.32880i −0.178100 0.102826i 0.408300 0.912848i \(-0.366122\pi\)
−0.586400 + 0.810022i \(0.699455\pi\)
\(168\) −7.17701 9.26197i −0.553718 0.714576i
\(169\) 4.09120 12.3395i 0.314708 0.949189i
\(170\) −2.02121 3.50084i −0.155020 0.268502i
\(171\) 0.0340582 0.0196635i 0.00260449 0.00150370i
\(172\) −15.3117 26.5206i −1.16750 2.02218i
\(173\) 9.79352 16.9629i 0.744588 1.28966i −0.205799 0.978594i \(-0.565979\pi\)
0.950387 0.311070i \(-0.100687\pi\)
\(174\) 4.61423i 0.349804i
\(175\) 10.4874 + 4.28587i 0.792774 + 0.323981i
\(176\) 0.407774 0.235428i 0.0307371 0.0177461i
\(177\) 2.09411 1.20904i 0.157403 0.0908768i
\(178\) −40.3330 −3.02309
\(179\) −1.44666 2.50569i −0.108129 0.187284i 0.806884 0.590711i \(-0.201152\pi\)
−0.915012 + 0.403426i \(0.867819\pi\)
\(180\) 2.32205i 0.173076i
\(181\) −1.36804 −0.101686 −0.0508429 0.998707i \(-0.516191\pi\)
−0.0508429 + 0.998707i \(0.516191\pi\)
\(182\) −15.9113 + 15.1522i −1.17942 + 1.12316i
\(183\) −6.66245 −0.492503
\(184\) 23.5018i 1.73258i
\(185\) −2.83936 4.91791i −0.208754 0.361572i
\(186\) 26.6768 1.95604
\(187\) −2.69693 + 1.55707i −0.197219 + 0.113865i
\(188\) 1.03045 0.594929i 0.0751531 0.0433897i
\(189\) −2.01851 14.7897i −0.146825 1.07579i
\(190\) 0.0925559i 0.00671471i
\(191\) 0.756625 1.31051i 0.0547475 0.0948254i −0.837353 0.546663i \(-0.815898\pi\)
0.892100 + 0.451837i \(0.149231\pi\)
\(192\) 9.43792 + 16.3470i 0.681123 + 1.17974i
\(193\) −6.02229 + 3.47697i −0.433494 + 0.250278i −0.700834 0.713324i \(-0.747189\pi\)
0.267340 + 0.963602i \(0.413855\pi\)
\(194\) 0.490860 + 0.850194i 0.0352417 + 0.0610404i
\(195\) −4.47778 + 0.457080i −0.320661 + 0.0327322i
\(196\) 22.2891 6.19955i 1.59208 0.442825i
\(197\) −13.4037 7.73860i −0.954971 0.551353i −0.0603494 0.998177i \(-0.519221\pi\)
−0.894622 + 0.446825i \(0.852555\pi\)
\(198\) 2.87133 0.204056
\(199\) −6.61529 −0.468945 −0.234473 0.972123i \(-0.575336\pi\)
−0.234473 + 0.972123i \(0.575336\pi\)
\(200\) 11.1469 + 6.43566i 0.788205 + 0.455070i
\(201\) −2.60637 1.50479i −0.183839 0.106140i
\(202\) −19.2886 + 11.1363i −1.35714 + 0.783545i
\(203\) 3.33010 + 1.36090i 0.233727 + 0.0955168i
\(204\) 5.04336 + 8.73535i 0.353106 + 0.611597i
\(205\) −8.48854 −0.592865
\(206\) 19.9035 11.4913i 1.38674 0.800634i
\(207\) 3.24166 5.61473i 0.225311 0.390250i
\(208\) −0.915555 + 0.661010i −0.0634823 + 0.0458328i
\(209\) 0.0713021 0.00493207
\(210\) 7.04203 + 2.87785i 0.485947 + 0.198591i
\(211\) 4.04714 7.00986i 0.278617 0.482578i −0.692424 0.721490i \(-0.743457\pi\)
0.971041 + 0.238912i \(0.0767907\pi\)
\(212\) 4.48132 7.76187i 0.307778 0.533088i
\(213\) 18.1365 + 10.4711i 1.24269 + 0.717470i
\(214\) 22.7153i 1.55279i
\(215\) 6.79892 + 3.92536i 0.463683 + 0.267707i
\(216\) 16.9584i 1.15387i
\(217\) −7.86797 + 19.2527i −0.534113 + 1.30696i
\(218\) 13.3653 23.1493i 0.905211 1.56787i
\(219\) 9.96212i 0.673178i
\(220\) −2.10501 + 3.64599i −0.141920 + 0.245812i
\(221\) 6.05530 4.37178i 0.407323 0.294078i
\(222\) 11.3721 + 19.6970i 0.763244 + 1.32198i
\(223\) 13.9067 + 8.02903i 0.931261 + 0.537664i 0.887210 0.461366i \(-0.152640\pi\)
0.0440506 + 0.999029i \(0.485974\pi\)
\(224\) −13.8683 + 1.89276i −0.926616 + 0.126465i
\(225\) 1.77537 + 3.07504i 0.118358 + 0.205002i
\(226\) −6.93668 + 4.00490i −0.461421 + 0.266402i
\(227\) 1.29581i 0.0860057i 0.999075 + 0.0430029i \(0.0136925\pi\)
−0.999075 + 0.0430029i \(0.986308\pi\)
\(228\) 0.230947i 0.0152948i
\(229\) 18.0285 10.4088i 1.19136 0.687831i 0.232743 0.972538i \(-0.425230\pi\)
0.958614 + 0.284707i \(0.0918965\pi\)
\(230\) 7.62925 + 13.2142i 0.503058 + 0.871322i
\(231\) 2.21700 5.42496i 0.145868 0.356936i
\(232\) 3.53951 + 2.04354i 0.232380 + 0.134165i
\(233\) −6.65213 11.5218i −0.435796 0.754820i 0.561565 0.827433i \(-0.310200\pi\)
−0.997360 + 0.0726127i \(0.976866\pi\)
\(234\) −6.85059 + 0.699290i −0.447837 + 0.0457140i
\(235\) −0.152518 + 0.264169i −0.00994920 + 0.0172325i
\(236\) 5.42421i 0.353086i
\(237\) 8.58899 14.8766i 0.557915 0.966337i
\(238\) −12.5069 + 1.70695i −0.810702 + 0.110645i
\(239\) 13.3652i 0.864525i 0.901748 + 0.432263i \(0.142285\pi\)
−0.901748 + 0.432263i \(0.857715\pi\)
\(240\) 0.338599 + 0.195490i 0.0218565 + 0.0126188i
\(241\) 0.834153i 0.0537325i 0.999639 + 0.0268663i \(0.00855282\pi\)
−0.999639 + 0.0268663i \(0.991447\pi\)
\(242\) −17.4331 10.0650i −1.12064 0.647004i
\(243\) 4.17170 7.22559i 0.267614 0.463522i
\(244\) 7.47259 12.9429i 0.478384 0.828585i
\(245\) −4.15391 + 4.23347i −0.265383 + 0.270467i
\(246\) 33.9980 2.16763
\(247\) −0.170117 + 0.0173651i −0.0108243 + 0.00110491i
\(248\) −11.8146 + 20.4634i −0.750225 + 1.29943i
\(249\) −14.7199 + 8.49852i −0.932834 + 0.538572i
\(250\) −18.1144 −1.14565
\(251\) 13.6360 + 23.6183i 0.860699 + 1.49078i 0.871255 + 0.490831i \(0.163307\pi\)
−0.0105555 + 0.999944i \(0.503360\pi\)
\(252\) 6.71199 + 2.74297i 0.422816 + 0.172791i
\(253\) 10.1798 5.87733i 0.640000 0.369504i
\(254\) −31.3163 18.0804i −1.96496 1.13447i
\(255\) −2.23943 1.29293i −0.140238 0.0809667i
\(256\) −17.9721 −1.12326
\(257\) −6.55188 −0.408695 −0.204348 0.978898i \(-0.565507\pi\)
−0.204348 + 0.978898i \(0.565507\pi\)
\(258\) −27.2308 15.7217i −1.69532 0.978791i
\(259\) −17.5695 + 2.39789i −1.09171 + 0.148998i
\(260\) 4.13432 9.21148i 0.256399 0.571272i
\(261\) 0.563740 + 0.976426i 0.0348946 + 0.0604393i
\(262\) −5.07682 + 2.93110i −0.313647 + 0.181084i
\(263\) 11.2945 + 19.5627i 0.696450 + 1.20629i 0.969689 + 0.244341i \(0.0785717\pi\)
−0.273239 + 0.961946i \(0.588095\pi\)
\(264\) 3.32906 5.76610i 0.204889 0.354879i
\(265\) 2.29770i 0.141146i
\(266\) 0.267537 + 0.109334i 0.0164037 + 0.00670367i
\(267\) −22.3437 + 12.9002i −1.36742 + 0.789478i
\(268\) 5.84660 3.37553i 0.357138 0.206194i
\(269\) 16.0013 0.975617 0.487808 0.872951i \(-0.337797\pi\)
0.487808 + 0.872951i \(0.337797\pi\)
\(270\) 5.50510 + 9.53511i 0.335030 + 0.580288i
\(271\) 8.75935i 0.532093i −0.963960 0.266046i \(-0.914283\pi\)
0.963960 0.266046i \(-0.0857174\pi\)
\(272\) −0.648750 −0.0393363
\(273\) −3.96826 + 13.4831i −0.240170 + 0.816037i
\(274\) −4.29496 −0.259468
\(275\) 6.43771i 0.388209i
\(276\) −19.0366 32.9724i −1.14587 1.98471i
\(277\) 19.9183 1.19677 0.598387 0.801208i \(-0.295809\pi\)
0.598387 + 0.801208i \(0.295809\pi\)
\(278\) 31.1355 17.9761i 1.86739 1.07814i
\(279\) −5.64514 + 3.25922i −0.337965 + 0.195124i
\(280\) −5.32632 + 4.12731i −0.318308 + 0.246654i
\(281\) 14.0234i 0.836566i −0.908317 0.418283i \(-0.862632\pi\)
0.908317 0.418283i \(-0.137368\pi\)
\(282\) 0.610861 1.05804i 0.0363762 0.0630055i
\(283\) 0.506295 + 0.876929i 0.0300961 + 0.0521280i 0.880681 0.473710i \(-0.157085\pi\)
−0.850585 + 0.525838i \(0.823752\pi\)
\(284\) −40.6838 + 23.4888i −2.41414 + 1.39380i
\(285\) 0.0296032 + 0.0512743i 0.00175354 + 0.00303723i
\(286\) −11.3904 5.11227i −0.673530 0.302295i
\(287\) −10.0273 + 24.5365i −0.591890 + 1.44834i
\(288\) −3.79906 2.19339i −0.223862 0.129247i
\(289\) −12.7093 −0.747606
\(290\) −2.65352 −0.155820
\(291\) 0.543855 + 0.313995i 0.0318813 + 0.0184067i
\(292\) −19.3531 11.1735i −1.13255 0.653879i
\(293\) −0.172543 + 0.0996176i −0.0100801 + 0.00581972i −0.505032 0.863101i \(-0.668519\pi\)
0.494952 + 0.868921i \(0.335186\pi\)
\(294\) 16.6371 16.9558i 0.970295 0.988880i
\(295\) −0.695286 1.20427i −0.0404811 0.0701153i
\(296\) −20.1458 −1.17095
\(297\) 7.34554 4.24095i 0.426232 0.246085i
\(298\) −7.32857 + 12.6935i −0.424532 + 0.735312i
\(299\) −22.8563 + 16.5017i −1.32181 + 0.954319i
\(300\) 20.8517 1.20387
\(301\) 19.3778 15.0156i 1.11692 0.865487i
\(302\) −0.764792 + 1.32466i −0.0440088 + 0.0762256i
\(303\) −7.12368 + 12.3386i −0.409245 + 0.708833i
\(304\) 0.0128639 + 0.00742695i 0.000737793 + 0.000425965i
\(305\) 3.83140i 0.219386i
\(306\) −3.42612 1.97807i −0.195858 0.113079i
\(307\) 27.2004i 1.55241i −0.630482 0.776204i \(-0.717143\pi\)
0.630482 0.776204i \(-0.282857\pi\)
\(308\) 8.05228 + 10.3915i 0.458821 + 0.592111i
\(309\) 7.35077 12.7319i 0.418171 0.724293i
\(310\) 15.3411i 0.871318i
\(311\) 13.5505 23.4701i 0.768376 1.33087i −0.170067 0.985432i \(-0.554398\pi\)
0.938443 0.345434i \(-0.112268\pi\)
\(312\) −6.53839 + 14.5679i −0.370163 + 0.824744i
\(313\) 11.0392 + 19.1205i 0.623975 + 1.08076i 0.988738 + 0.149656i \(0.0478165\pi\)
−0.364763 + 0.931100i \(0.618850\pi\)
\(314\) 33.0639 + 19.0894i 1.86590 + 1.07728i
\(315\) −1.84178 + 0.251367i −0.103773 + 0.0141629i
\(316\) 19.2668 + 33.3711i 1.08384 + 1.87727i
\(317\) −6.12126 + 3.53411i −0.343804 + 0.198496i −0.661953 0.749545i \(-0.730272\pi\)
0.318149 + 0.948041i \(0.396939\pi\)
\(318\) 9.20265i 0.516059i
\(319\) 2.04419i 0.114453i
\(320\) 9.40071 5.42750i 0.525516 0.303407i
\(321\) 7.26531 + 12.5839i 0.405510 + 0.702364i
\(322\) 47.2085 6.44305i 2.63083 0.359057i
\(323\) −0.0850789 0.0491204i −0.00473392 0.00273313i
\(324\) −9.62558 16.6720i −0.534754 0.926221i
\(325\) −1.56786 15.3595i −0.0869690 0.851992i
\(326\) −10.4237 + 18.0544i −0.577318 + 0.999943i
\(327\) 17.0991i 0.945582i
\(328\) −15.0569 + 26.0794i −0.831381 + 1.43999i
\(329\) 0.583427 + 0.752916i 0.0321654 + 0.0415096i
\(330\) 4.32276i 0.237960i
\(331\) 5.70588 + 3.29429i 0.313623 + 0.181071i 0.648547 0.761175i \(-0.275377\pi\)
−0.334923 + 0.942245i \(0.608710\pi\)
\(332\) 38.1277i 2.09253i
\(333\) −4.81294 2.77875i −0.263748 0.152275i
\(334\) 3.06059 5.30110i 0.167468 0.290063i
\(335\) −0.865365 + 1.49886i −0.0472799 + 0.0818912i
\(336\) 0.965050 0.747808i 0.0526478 0.0407963i
\(337\) −4.22290 −0.230036 −0.115018 0.993363i \(-0.536693\pi\)
−0.115018 + 0.993363i \(0.536693\pi\)
\(338\) 28.4210 + 9.42313i 1.54590 + 0.512551i
\(339\) −2.56187 + 4.43728i −0.139141 + 0.241000i
\(340\) 5.02347 2.90030i 0.272436 0.157291i
\(341\) −11.8183 −0.639998
\(342\) 0.0452902 + 0.0784450i 0.00244902 + 0.00424182i
\(343\) 7.33014 + 17.0079i 0.395790 + 0.918341i
\(344\) 24.1198 13.9256i 1.30045 0.750817i
\(345\) 8.45293 + 4.88030i 0.455091 + 0.262747i
\(346\) 39.0700 + 22.5571i 2.10042 + 1.21268i
\(347\) −9.09478 −0.488233 −0.244117 0.969746i \(-0.578498\pi\)
−0.244117 + 0.969746i \(0.578498\pi\)
\(348\) 6.62111 0.354929
\(349\) 7.98521 + 4.61026i 0.427439 + 0.246782i 0.698255 0.715849i \(-0.253960\pi\)
−0.270816 + 0.962631i \(0.587294\pi\)
\(350\) −9.87149 + 24.1553i −0.527653 + 1.29116i
\(351\) −16.4926 + 11.9073i −0.880310 + 0.635564i
\(352\) −3.97674 6.88792i −0.211961 0.367127i
\(353\) 1.86584 1.07724i 0.0993087 0.0573359i −0.449523 0.893269i \(-0.648406\pi\)
0.548832 + 0.835933i \(0.315073\pi\)
\(354\) 2.78473 + 4.82330i 0.148007 + 0.256356i
\(355\) 6.02167 10.4298i 0.319597 0.553559i
\(356\) 57.8752i 3.06738i
\(357\) −6.38265 + 4.94585i −0.337805 + 0.261762i
\(358\) 5.77128 3.33205i 0.305021 0.176104i
\(359\) −7.41107 + 4.27878i −0.391141 + 0.225825i −0.682654 0.730741i \(-0.739175\pi\)
0.291513 + 0.956567i \(0.405841\pi\)
\(360\) −2.11185 −0.111304
\(361\) −9.49888 16.4525i −0.499941 0.865923i
\(362\) 3.15096i 0.165611i
\(363\) −12.8769 −0.675860
\(364\) −21.7424 22.8317i −1.13961 1.19670i
\(365\) 5.72896 0.299867
\(366\) 15.3454i 0.802117i
\(367\) −1.14912 1.99033i −0.0599833 0.103894i 0.834474 0.551047i \(-0.185771\pi\)
−0.894458 + 0.447153i \(0.852438\pi\)
\(368\) 2.44877 0.127651
\(369\) −7.19439 + 4.15368i −0.374525 + 0.216232i
\(370\) 11.3273 6.53979i 0.588876 0.339988i
\(371\) 6.64158 + 2.71420i 0.344814 + 0.140914i
\(372\) 38.2795i 1.98470i
\(373\) −5.88418 + 10.1917i −0.304672 + 0.527707i −0.977188 0.212375i \(-0.931880\pi\)
0.672517 + 0.740082i \(0.265213\pi\)
\(374\) −3.58636 6.21175i −0.185446 0.321202i
\(375\) −10.0350 + 5.79373i −0.518207 + 0.299187i
\(376\) 0.541073 + 0.937166i 0.0279037 + 0.0483307i
\(377\) −0.497847 4.87715i −0.0256404 0.251186i
\(378\) 34.0646 4.64917i 1.75210 0.239127i
\(379\) −6.92034 3.99546i −0.355474 0.205233i 0.311619 0.950207i \(-0.399129\pi\)
−0.667094 + 0.744974i \(0.732462\pi\)
\(380\) −0.132812 −0.00681310
\(381\) −23.1315 −1.18506
\(382\) 3.01846 + 1.74271i 0.154438 + 0.0891647i
\(383\) −24.4605 14.1223i −1.24988 0.721616i −0.278791 0.960352i \(-0.589934\pi\)
−0.971084 + 0.238736i \(0.923267\pi\)
\(384\) −24.1508 + 13.9435i −1.23244 + 0.711551i
\(385\) −3.11975 1.27494i −0.158997 0.0649770i
\(386\) −8.00839 13.8709i −0.407616 0.706012i
\(387\) 7.68316 0.390557
\(388\) −1.21997 + 0.704352i −0.0619347 + 0.0357580i
\(389\) 3.84043 6.65182i 0.194717 0.337261i −0.752090 0.659060i \(-0.770954\pi\)
0.946808 + 0.321799i \(0.104288\pi\)
\(390\) −1.05278 10.3135i −0.0533094 0.522246i
\(391\) −16.1957 −0.819050
\(392\) 5.63834 + 20.2714i 0.284779 + 1.02386i
\(393\) −1.87498 + 3.24756i −0.0945801 + 0.163818i
\(394\) 17.8241 30.8722i 0.897964 1.55532i
\(395\) −8.55513 4.93931i −0.430455 0.248524i
\(396\) 4.12017i 0.207046i
\(397\) 6.45433 + 3.72641i 0.323933 + 0.187023i 0.653144 0.757233i \(-0.273449\pi\)
−0.329211 + 0.944256i \(0.606783\pi\)
\(398\) 15.2368i 0.763750i
\(399\) 0.183180 0.0250005i 0.00917046 0.00125159i
\(400\) −0.670563 + 1.16145i −0.0335282 + 0.0580725i
\(401\) 18.1982i 0.908777i −0.890804 0.454389i \(-0.849858\pi\)
0.890804 0.454389i \(-0.150142\pi\)
\(402\) 3.46593 6.00316i 0.172865 0.299411i
\(403\) 28.1969 2.87826i 1.40459 0.143376i
\(404\) −15.9798 27.6778i −0.795025 1.37702i
\(405\) 4.27409 + 2.46765i 0.212381 + 0.122618i
\(406\) −3.13453 + 7.67011i −0.155564 + 0.380661i
\(407\) −5.03804 8.72615i −0.249727 0.432539i
\(408\) −7.94458 + 4.58681i −0.393315 + 0.227081i
\(409\) 29.2825i 1.44793i 0.689838 + 0.723964i \(0.257682\pi\)
−0.689838 + 0.723964i \(0.742318\pi\)
\(410\) 19.5514i 0.965573i
\(411\) −2.37933 + 1.37371i −0.117364 + 0.0677599i
\(412\) 16.4892 + 28.5602i 0.812365 + 1.40706i
\(413\) −4.30231 + 0.587183i −0.211703 + 0.0288934i
\(414\) 12.9322 + 7.46641i 0.635583 + 0.366954i
\(415\) 4.88728 + 8.46502i 0.239907 + 0.415531i
\(416\) 11.1655 + 15.4651i 0.547432 + 0.758241i
\(417\) 11.4990 19.9169i 0.563109 0.975334i
\(418\) 0.164228i 0.00803264i
\(419\) 10.3697 17.9608i 0.506591 0.877441i −0.493380 0.869814i \(-0.664239\pi\)
0.999971 0.00762733i \(-0.00242788\pi\)
\(420\) −4.12953 + 10.1049i −0.201500 + 0.493067i
\(421\) 24.8696i 1.21207i −0.795437 0.606036i \(-0.792759\pi\)
0.795437 0.606036i \(-0.207241\pi\)
\(422\) 16.1456 + 9.32165i 0.785954 + 0.453771i
\(423\) 0.298526i 0.0145148i
\(424\) 7.05923 + 4.07565i 0.342826 + 0.197931i
\(425\) 4.43497 7.68159i 0.215128 0.372612i
\(426\) −24.1178 + 41.7733i −1.16851 + 2.02392i
\(427\) 11.0748 + 4.52592i 0.535948 + 0.219025i
\(428\) −32.5950 −1.57554
\(429\) −7.94520 + 0.811025i −0.383598 + 0.0391566i
\(430\) −9.04115 + 15.6597i −0.436003 + 0.755179i
\(431\) −18.3327 + 10.5844i −0.883055 + 0.509832i −0.871665 0.490103i \(-0.836959\pi\)
−0.0113906 + 0.999935i \(0.503626\pi\)
\(432\) 1.76698 0.0850138
\(433\) −11.7148 20.2906i −0.562977 0.975105i −0.997235 0.0743163i \(-0.976323\pi\)
0.434258 0.900789i \(-0.357011\pi\)
\(434\) −44.3442 18.1220i −2.12859 0.869885i
\(435\) −1.47000 + 0.848707i −0.0704813 + 0.0406924i
\(436\) 33.2178 + 19.1783i 1.59084 + 0.918474i
\(437\) 0.321139 + 0.185409i 0.0153621 + 0.00886934i
\(438\) −22.9454 −1.09637
\(439\) 12.0384 0.574561 0.287280 0.957847i \(-0.407249\pi\)
0.287280 + 0.957847i \(0.407249\pi\)
\(440\) −3.31593 1.91445i −0.158081 0.0912680i
\(441\) −1.44905 + 5.62067i −0.0690025 + 0.267651i
\(442\) 10.0694 + 13.9470i 0.478952 + 0.663390i
\(443\) −7.86656 13.6253i −0.373752 0.647357i 0.616388 0.787443i \(-0.288595\pi\)
−0.990139 + 0.140086i \(0.955262\pi\)
\(444\) −28.2640 + 16.3182i −1.34135 + 0.774427i
\(445\) 7.41855 + 12.8493i 0.351673 + 0.609116i
\(446\) −18.4930 + 32.0308i −0.875669 + 1.51670i
\(447\) 9.37592i 0.443466i
\(448\) −4.58363 33.5845i −0.216556 1.58672i
\(449\) 22.5177 13.0006i 1.06268 0.613536i 0.136504 0.990640i \(-0.456413\pi\)
0.926171 + 0.377104i \(0.123080\pi\)
\(450\) −7.08263 + 4.08916i −0.333878 + 0.192765i
\(451\) −15.0617 −0.709230
\(452\) −5.74676 9.95369i −0.270305 0.468182i
\(453\) 0.978449i 0.0459716i
\(454\) −2.98459 −0.140074
\(455\) 7.75380 + 2.28204i 0.363504 + 0.106984i
\(456\) 0.210041 0.00983605
\(457\) 30.7958i 1.44057i 0.693679 + 0.720284i \(0.255989\pi\)
−0.693679 + 0.720284i \(0.744011\pi\)
\(458\) 23.9742 + 41.5245i 1.12024 + 1.94031i
\(459\) −11.6864 −0.545476
\(460\) −18.9616 + 10.9475i −0.884088 + 0.510429i
\(461\) −29.5278 + 17.0479i −1.37525 + 0.794000i −0.991583 0.129472i \(-0.958672\pi\)
−0.383665 + 0.923472i \(0.625338\pi\)
\(462\) 12.4951 + 5.10635i 0.581325 + 0.237569i
\(463\) 1.69184i 0.0786263i 0.999227 + 0.0393131i \(0.0125170\pi\)
−0.999227 + 0.0393131i \(0.987483\pi\)
\(464\) −0.212926 + 0.368799i −0.00988485 + 0.0171211i
\(465\) −4.90674 8.49871i −0.227544 0.394118i
\(466\) 26.5378 15.3216i 1.22934 0.709761i
\(467\) 14.1762 + 24.5539i 0.655996 + 1.13622i 0.981643 + 0.190727i \(0.0610845\pi\)
−0.325647 + 0.945491i \(0.605582\pi\)
\(468\) −1.00344 9.83015i −0.0463838 0.454399i
\(469\) 3.31027 + 4.27192i 0.152854 + 0.197259i
\(470\) −0.608453 0.351290i −0.0280658 0.0162038i
\(471\) 24.4224 1.12532
\(472\) −4.93318 −0.227068
\(473\) 12.0637 + 6.96501i 0.554692 + 0.320251i
\(474\) 34.2647 + 19.7827i 1.57383 + 0.908651i
\(475\) −0.175879 + 0.101544i −0.00806989 + 0.00465915i
\(476\) −2.44936 17.9466i −0.112266 0.822581i
\(477\) 1.12433 + 1.94739i 0.0514794 + 0.0891650i
\(478\) −30.7837 −1.40801
\(479\) 5.44077 3.14123i 0.248595 0.143526i −0.370526 0.928822i \(-0.620822\pi\)
0.619121 + 0.785296i \(0.287489\pi\)
\(480\) 3.30213 5.71946i 0.150721 0.261056i
\(481\) 14.1453 + 19.5924i 0.644969 + 0.893338i
\(482\) −1.92128 −0.0875117
\(483\) 24.0919 18.6686i 1.09622 0.849450i
\(484\) 14.4427 25.0154i 0.656484 1.13706i
\(485\) 0.180570 0.312757i 0.00819927 0.0142016i
\(486\) 16.6425 + 9.60853i 0.754917 + 0.435852i
\(487\) 13.0176i 0.589883i 0.955515 + 0.294942i \(0.0953002\pi\)
−0.955515 + 0.294942i \(0.904700\pi\)
\(488\) 11.7712 + 6.79613i 0.532859 + 0.307647i
\(489\) 13.3358i 0.603065i
\(490\) −9.75082 9.56756i −0.440497 0.432218i
\(491\) −6.17616 + 10.6974i −0.278726 + 0.482768i −0.971068 0.238801i \(-0.923246\pi\)
0.692342 + 0.721569i \(0.256579\pi\)
\(492\) 48.7849i 2.19939i
\(493\) 1.40825 2.43916i 0.0634244 0.109854i
\(494\) −0.0399964 0.391825i −0.00179952 0.0176290i
\(495\) −0.528131 0.914749i −0.0237377 0.0411149i
\(496\) −2.13218 1.23102i −0.0957378 0.0552743i
\(497\) −23.0347 29.7264i −1.03325 1.33341i
\(498\) −19.5744 33.9038i −0.877148 1.51926i
\(499\) 7.92708 4.57670i 0.354865 0.204881i −0.311961 0.950095i \(-0.600986\pi\)
0.666826 + 0.745214i \(0.267652\pi\)
\(500\) 25.9929i 1.16244i
\(501\) 3.91562i 0.174937i
\(502\) −54.3993 + 31.4074i −2.42796 + 1.40178i
\(503\) −11.2519 19.4888i −0.501696 0.868963i −0.999998 0.00195935i \(-0.999376\pi\)
0.498302 0.867003i \(-0.333957\pi\)
\(504\) −2.49467 + 6.10439i −0.111121 + 0.271911i
\(505\) 7.09559 + 4.09664i 0.315750 + 0.182298i
\(506\) 13.5370 + 23.4469i 0.601795 + 1.04234i
\(507\) 18.7587 3.86999i 0.833101 0.171872i
\(508\) 25.9443 44.9368i 1.15109 1.99375i
\(509\) 38.6606i 1.71360i −0.515649 0.856800i \(-0.672449\pi\)
0.515649 0.856800i \(-0.327551\pi\)
\(510\) 2.97797 5.15800i 0.131867 0.228400i
\(511\) 6.76745 16.5598i 0.299374 0.732562i
\(512\) 3.53972i 0.156435i
\(513\) 0.231727 + 0.133787i 0.0102310 + 0.00590686i
\(514\) 15.0907i 0.665623i
\(515\) −7.32179 4.22724i −0.322637 0.186274i
\(516\) 22.5596 39.0744i 0.993132 1.72016i
\(517\) −0.270623 + 0.468732i −0.0119020 + 0.0206148i
\(518\) −5.52298 40.4671i −0.242666 1.77802i
\(519\) 28.8588 1.26676
\(520\) 8.37761 + 3.76006i 0.367383 + 0.164889i
\(521\) −20.1176 + 34.8446i −0.881366 + 1.52657i −0.0315430 + 0.999502i \(0.510042\pi\)
−0.849823 + 0.527068i \(0.823291\pi\)
\(522\) −2.24897 + 1.29844i −0.0984348 + 0.0568313i
\(523\) −0.732146 −0.0320145 −0.0160073 0.999872i \(-0.505095\pi\)
−0.0160073 + 0.999872i \(0.505095\pi\)
\(524\) −4.20594 7.28491i −0.183737 0.318243i
\(525\) 2.25724 + 16.5389i 0.0985142 + 0.721818i
\(526\) −45.0581 + 26.0143i −1.96463 + 1.13428i
\(527\) 14.1018 + 8.14169i 0.614285 + 0.354658i
\(528\) 0.600798 + 0.346871i 0.0261464 + 0.0150956i
\(529\) 38.1321 1.65792
\(530\) −5.29221 −0.229879
\(531\) −1.17857 0.680446i −0.0511455 0.0295288i
\(532\) −0.156887 + 0.383898i −0.00680189 + 0.0166441i
\(533\) 35.9353 3.66817i 1.55653 0.158886i
\(534\) −29.7125 51.4636i −1.28579 2.22705i
\(535\) 7.23667 4.17809i 0.312868 0.180635i
\(536\) 3.06996 + 5.31733i 0.132602 + 0.229674i
\(537\) 2.13146 3.69179i 0.0919791 0.159312i
\(538\) 36.8553i 1.58894i
\(539\) −7.37054 + 7.51171i −0.317472 + 0.323552i
\(540\) −13.6823 + 7.89946i −0.588791 + 0.339939i
\(541\) −20.4847 + 11.8268i −0.880705 + 0.508476i −0.870891 0.491476i \(-0.836457\pi\)
−0.00981448 + 0.999952i \(0.503124\pi\)
\(542\) 20.1751 0.866595
\(543\) −1.00781 1.74558i −0.0432492 0.0749099i
\(544\) 10.9584i 0.469837i
\(545\) −9.83325 −0.421210
\(546\) −31.0553 9.13996i −1.32904 0.391154i
\(547\) −12.9472 −0.553582 −0.276791 0.960930i \(-0.589271\pi\)
−0.276791 + 0.960930i \(0.589271\pi\)
\(548\) 6.16298i 0.263270i
\(549\) 1.87481 + 3.24727i 0.0800151 + 0.138590i
\(550\) −14.8278 −0.632258
\(551\) −0.0558475 + 0.0322436i −0.00237918 + 0.00137362i
\(552\) 29.9876 17.3133i 1.27636 0.736904i
\(553\) −24.3832 + 18.8943i −1.03688 + 0.803467i
\(554\) 45.8771i 1.94913i
\(555\) 4.18340 7.24585i 0.177575 0.307569i
\(556\) 25.7946 + 44.6775i 1.09393 + 1.89475i
\(557\) 5.54845 3.20340i 0.235096 0.135732i −0.377825 0.925877i \(-0.623328\pi\)
0.612921 + 0.790145i \(0.289995\pi\)
\(558\) −7.50685 13.0023i −0.317790 0.550429i
\(559\) −30.4787 13.6795i −1.28911 0.578582i
\(560\) −0.430045 0.554975i −0.0181727 0.0234520i
\(561\) −3.97355 2.29413i −0.167764 0.0968584i
\(562\) 32.2996 1.36248
\(563\) −7.32084 −0.308537 −0.154268 0.988029i \(-0.549302\pi\)
−0.154268 + 0.988029i \(0.549302\pi\)
\(564\) 1.51822 + 0.876546i 0.0639287 + 0.0369092i
\(565\) 2.55176 + 1.47326i 0.107354 + 0.0619806i
\(566\) −2.01980 + 1.16613i −0.0848986 + 0.0490162i
\(567\) 12.1817 9.43948i 0.511583 0.396421i
\(568\) −21.3625 37.0009i −0.896349 1.55252i
\(569\) 4.31743 0.180996 0.0904981 0.995897i \(-0.471154\pi\)
0.0904981 + 0.995897i \(0.471154\pi\)
\(570\) −0.118098 + 0.0681842i −0.00494660 + 0.00285592i
\(571\) 17.0847 29.5916i 0.714974 1.23837i −0.247996 0.968761i \(-0.579772\pi\)
0.962970 0.269610i \(-0.0868946\pi\)
\(572\) 7.33577 16.3445i 0.306724 0.683398i
\(573\) 2.22956 0.0931413
\(574\) −56.5140 23.0954i −2.35885 0.963985i
\(575\) −16.7402 + 28.9949i −0.698115 + 1.20917i
\(576\) 5.31166 9.20007i 0.221319 0.383336i
\(577\) −5.50494 3.17828i −0.229174 0.132314i 0.381017 0.924568i \(-0.375574\pi\)
−0.610191 + 0.792254i \(0.708907\pi\)
\(578\) 29.2729i 1.21759i
\(579\) −8.87301 5.12283i −0.368750 0.212898i
\(580\) 3.80763i 0.158103i
\(581\) 30.2417 4.12740i 1.25464 0.171234i
\(582\) −0.723214 + 1.25264i −0.0299782 + 0.0519237i
\(583\) 4.07695i 0.168850i
\(584\) 10.1620 17.6011i 0.420507 0.728339i
\(585\) 1.48283 + 2.05384i 0.0613074 + 0.0849160i
\(586\) −0.229446 0.397412i −0.00947832 0.0164169i
\(587\) 27.2036 + 15.7060i 1.12281 + 0.648256i 0.942118 0.335283i \(-0.108832\pi\)
0.180695 + 0.983539i \(0.442165\pi\)
\(588\) 24.3304 + 23.8731i 1.00337 + 0.984511i
\(589\) −0.186414 0.322878i −0.00768104 0.0133040i
\(590\) 2.77376 1.60143i 0.114194 0.0659298i
\(591\) 22.8035i 0.938011i
\(592\) 2.09909i 0.0862719i
\(593\) 0.409641 0.236506i 0.0168219 0.00971215i −0.491565 0.870841i \(-0.663575\pi\)
0.508387 + 0.861128i \(0.330242\pi\)
\(594\) 9.76804 + 16.9187i 0.400787 + 0.694184i
\(595\) 2.84423 + 3.67049i 0.116602 + 0.150476i
\(596\) −18.2143 10.5160i −0.746086 0.430753i
\(597\) −4.87335 8.44089i −0.199453 0.345463i
\(598\) −38.0079 52.6442i −1.55426 2.15278i
\(599\) 4.81348 8.33719i 0.196673 0.340648i −0.750774 0.660559i \(-0.770320\pi\)
0.947448 + 0.319910i \(0.103653\pi\)
\(600\) 18.9641i 0.774207i
\(601\) 20.5399 35.5762i 0.837842 1.45118i −0.0538542 0.998549i \(-0.517151\pi\)
0.891696 0.452635i \(-0.149516\pi\)
\(602\) 34.5850 + 44.6322i 1.40958 + 1.81907i
\(603\) 1.69379i 0.0689765i
\(604\) −1.90080 1.09743i −0.0773424 0.0446537i
\(605\) 7.40514i 0.301062i
\(606\) −28.4190 16.4077i −1.15444 0.666518i
\(607\) −9.54289 + 16.5288i −0.387334 + 0.670882i −0.992090 0.125529i \(-0.959937\pi\)
0.604756 + 0.796411i \(0.293271\pi\)
\(608\) 0.125453 0.217290i 0.00508777 0.00881228i
\(609\) 0.716750 + 5.25166i 0.0290442 + 0.212808i
\(610\) −8.82474 −0.357303
\(611\) 0.531513 1.18424i 0.0215027 0.0479092i
\(612\) 2.83840 4.91626i 0.114736 0.198728i
\(613\) −32.9131 + 19.0024i −1.32935 + 0.767500i −0.985199 0.171415i \(-0.945166\pi\)
−0.344149 + 0.938915i \(0.611833\pi\)
\(614\) 62.6498 2.52834
\(615\) −6.25334 10.8311i −0.252159 0.436752i
\(616\) −9.45082 + 7.32335i −0.380784 + 0.295066i
\(617\) 7.20117 4.15759i 0.289908 0.167378i −0.347992 0.937497i \(-0.613136\pi\)
0.637900 + 0.770119i \(0.279803\pi\)
\(618\) 29.3250 + 16.9308i 1.17962 + 0.681056i
\(619\) −38.5146 22.2364i −1.54803 0.893756i −0.998292 0.0584199i \(-0.981394\pi\)
−0.549739 0.835336i \(-0.685273\pi\)
\(620\) 22.0135 0.884085
\(621\) 44.1116 1.77014
\(622\) 54.0579 + 31.2103i 2.16752 + 1.25142i
\(623\) 45.9048 6.26512i 1.83914 0.251007i
\(624\) −1.51790 0.681266i −0.0607646 0.0272725i
\(625\) −7.37342 12.7711i −0.294937 0.510845i
\(626\) −44.0397 + 25.4263i −1.76018 + 1.01624i
\(627\) 0.0525269 + 0.0909792i 0.00209772 + 0.00363336i
\(628\) −27.3921 + 47.4445i −1.09306 + 1.89324i
\(629\) 13.8829i 0.553549i
\(630\) −0.578966 4.24211i −0.0230666 0.169010i
\(631\) −10.1779 + 5.87622i −0.405177 + 0.233929i −0.688715 0.725032i \(-0.741825\pi\)
0.283539 + 0.958961i \(0.408492\pi\)
\(632\) −30.3501 + 17.5227i −1.20726 + 0.697014i
\(633\) 11.9258 0.474008
\(634\) −8.14001 14.0989i −0.323281 0.559939i
\(635\) 13.3023i 0.527887i
\(636\) 13.2052 0.523620
\(637\) 15.7557 19.7170i 0.624263 0.781215i
\(638\) −4.70831 −0.186404
\(639\) 11.7863i 0.466259i
\(640\) 8.01854 + 13.8885i 0.316961 + 0.548992i
\(641\) −10.4868 −0.414205 −0.207102 0.978319i \(-0.566403\pi\)
−0.207102 + 0.978319i \(0.566403\pi\)
\(642\) −28.9840 + 16.7339i −1.14391 + 0.660436i
\(643\) 27.0912 15.6411i 1.06837 0.616825i 0.140635 0.990061i \(-0.455085\pi\)
0.927736 + 0.373237i \(0.121752\pi\)
\(644\) 9.24536 + 67.7411i 0.364318 + 2.66937i
\(645\) 11.5669i 0.455448i
\(646\) 0.113137 0.195959i 0.00445133 0.00770992i
\(647\) −13.4337 23.2679i −0.528135 0.914757i −0.999462 0.0327983i \(-0.989558\pi\)
0.471327 0.881959i \(-0.343775\pi\)
\(648\) 15.1627 8.75422i 0.595649 0.343898i
\(649\) −1.23369 2.13681i −0.0484265 0.0838772i
\(650\) 35.3770 3.61119i 1.38760 0.141643i
\(651\) −30.3621 + 4.14384i −1.18998 + 0.162410i
\(652\) −25.9070 14.9574i −1.01459 0.585776i
\(653\) −4.14161 −0.162074 −0.0810369 0.996711i \(-0.525823\pi\)
−0.0810369 + 0.996711i \(0.525823\pi\)
\(654\) 39.3838 1.54003
\(655\) 1.86759 + 1.07825i 0.0729726 + 0.0421308i
\(656\) −2.71734 1.56886i −0.106094 0.0612536i
\(657\) 4.85553 2.80334i 0.189432 0.109369i
\(658\) −1.73417 + 1.34379i −0.0676048 + 0.0523863i
\(659\) −10.7276 18.5807i −0.417887 0.723801i 0.577840 0.816150i \(-0.303896\pi\)
−0.995727 + 0.0923492i \(0.970562\pi\)
\(660\) −6.20288 −0.241447
\(661\) −36.7084 + 21.1936i −1.42779 + 0.824335i −0.996946 0.0780909i \(-0.975118\pi\)
−0.430844 + 0.902426i \(0.641784\pi\)
\(662\) −7.58763 + 13.1422i −0.294902 + 0.510785i
\(663\) 10.0391 + 4.50576i 0.389885 + 0.174989i
\(664\) 34.6762 1.34570
\(665\) −0.0143772 0.105342i −0.000557522 0.00408499i
\(666\) 6.40021 11.0855i 0.248003 0.429554i
\(667\) −5.31558 + 9.20685i −0.205820 + 0.356491i
\(668\) 7.60673 + 4.39175i 0.294313 + 0.169922i
\(669\) 23.6593i 0.914722i
\(670\) −3.45226 1.99317i −0.133373 0.0770027i
\(671\) 6.79830i 0.262445i
\(672\) −12.6316 16.3012i −0.487275 0.628831i
\(673\) −14.7928 + 25.6219i −0.570220 + 0.987650i 0.426323 + 0.904571i \(0.359809\pi\)
−0.996543 + 0.0830790i \(0.973525\pi\)
\(674\) 9.72645i 0.374649i
\(675\) −12.0794 + 20.9221i −0.464935 + 0.805292i
\(676\) −13.5216 + 40.7823i −0.520061 + 1.56855i
\(677\) −16.0830 27.8565i −0.618118 1.07061i −0.989829 0.142263i \(-0.954562\pi\)
0.371711 0.928349i \(-0.378771\pi\)
\(678\) −10.2202 5.90066i −0.392506 0.226613i
\(679\) −0.690734 0.891396i −0.0265079 0.0342086i
\(680\) 2.63775 + 4.56872i 0.101153 + 0.175202i
\(681\) −1.65341 + 0.954596i −0.0633587 + 0.0365802i
\(682\) 27.2207i 1.04234i
\(683\) 8.60236i 0.329160i 0.986364 + 0.164580i \(0.0526269\pi\)
−0.986364 + 0.164580i \(0.947373\pi\)
\(684\) −0.112563 + 0.0649885i −0.00430397 + 0.00248490i
\(685\) 0.789983 + 1.36829i 0.0301837 + 0.0522797i
\(686\) −39.1738 + 16.8833i −1.49566 + 0.644606i
\(687\) 26.5625 + 15.3359i 1.01342 + 0.585100i
\(688\) 1.45097 + 2.51316i 0.0553179 + 0.0958134i
\(689\) −0.992909 9.72704i −0.0378268 0.370571i
\(690\) −11.2406 + 19.4694i −0.427924 + 0.741186i
\(691\) 20.4420i 0.777651i 0.921311 + 0.388826i \(0.127119\pi\)
−0.921311 + 0.388826i \(0.872881\pi\)
\(692\) −32.3680 + 56.0629i −1.23044 + 2.13119i
\(693\) −3.26798 + 0.446017i −0.124140 + 0.0169428i
\(694\) 20.9477i 0.795164i
\(695\) −11.4537 6.61279i −0.434463 0.250837i
\(696\) 6.02174i 0.228253i
\(697\) 17.9719 + 10.3761i 0.680736 + 0.393023i
\(698\) −10.6187 + 18.3921i −0.401922 + 0.696150i
\(699\) 9.80099 16.9758i 0.370708 0.642084i
\(700\) −34.6613 14.1649i −1.31007 0.535385i
\(701\) −25.1373 −0.949422 −0.474711 0.880142i \(-0.657447\pi\)
−0.474711 + 0.880142i \(0.657447\pi\)
\(702\) −27.4256 37.9869i −1.03511 1.43372i
\(703\) 0.158933 0.275280i 0.00599427 0.0103824i
\(704\) 16.6803 9.63036i 0.628661 0.362958i
\(705\) −0.449429 −0.0169265
\(706\) 2.48118 + 4.29753i 0.0933804 + 0.161740i
\(707\) 20.2233 15.6709i 0.760576 0.589363i
\(708\) −6.92112 + 3.99591i −0.260112 + 0.150176i
\(709\) −25.5416 14.7464i −0.959234 0.553814i −0.0632970 0.997995i \(-0.520162\pi\)
−0.895937 + 0.444181i \(0.853495\pi\)
\(710\) 24.0227 + 13.8695i 0.901556 + 0.520514i
\(711\) −9.66777 −0.362570
\(712\) 52.6360 1.97262
\(713\) −53.2287 30.7316i −1.99343 1.15091i
\(714\) −11.3916 14.7009i −0.426320 0.550169i
\(715\) 0.466399 + 4.56908i 0.0174423 + 0.170874i
\(716\) 4.78127 + 8.28140i 0.178684 + 0.309491i
\(717\) −17.0536 + 9.84591i −0.636879 + 0.367702i
\(718\) −9.85518 17.0697i −0.367792 0.637034i
\(719\) −4.16576 + 7.21531i −0.155357 + 0.269086i −0.933189 0.359386i \(-0.882986\pi\)
0.777832 + 0.628472i \(0.216319\pi\)
\(720\) 0.220044i 0.00820055i
\(721\) −20.8680 + 16.1704i −0.777165 + 0.602218i
\(722\) 37.8946 21.8784i 1.41029 0.814231i
\(723\) −1.06435 + 0.614504i −0.0395837 + 0.0228537i
\(724\) 4.52143 0.168038
\(725\) −2.91120 5.04235i −0.108119 0.187268i
\(726\) 29.6588i 1.10074i
\(727\) 9.66141 0.358322 0.179161 0.983820i \(-0.442662\pi\)
0.179161 + 0.983820i \(0.442662\pi\)
\(728\) 20.7648 19.7742i 0.769595 0.732880i
\(729\) 29.7672 1.10249
\(730\) 13.1953i 0.488381i
\(731\) −9.59645 16.6215i −0.354938 0.614770i
\(732\) 22.0197 0.813870
\(733\) −12.1398 + 7.00894i −0.448395 + 0.258881i −0.707152 0.707061i \(-0.750020\pi\)
0.258757 + 0.965942i \(0.416687\pi\)
\(734\) 4.58425 2.64672i 0.169208 0.0976921i
\(735\) −8.46188 2.18154i −0.312121 0.0804672i
\(736\) 41.3635i 1.52468i
\(737\) −1.53547 + 2.65951i −0.0565598 + 0.0979644i
\(738\) −9.56704 16.5706i −0.352168 0.609972i
\(739\) 33.6145 19.4073i 1.23653 0.713910i 0.268146 0.963378i \(-0.413589\pi\)
0.968383 + 0.249468i \(0.0802559\pi\)
\(740\) 9.38417 + 16.2539i 0.344969 + 0.597504i
\(741\) −0.147479 0.204271i −0.00541779 0.00750410i
\(742\) −6.25153 + 15.2973i −0.229501 + 0.561583i
\(743\) 29.7863 + 17.1971i 1.09275 + 0.630901i 0.934308 0.356467i \(-0.116019\pi\)
0.158445 + 0.987368i \(0.449352\pi\)
\(744\) −34.8142 −1.27635
\(745\) 5.39185 0.197542
\(746\) −23.4742 13.5528i −0.859452 0.496205i
\(747\) 8.28434 + 4.78297i 0.303108 + 0.175000i
\(748\) 8.91346 5.14619i 0.325908 0.188163i
\(749\) −3.52848 25.8533i −0.128928 0.944660i
\(750\) −13.3445 23.1134i −0.487272 0.843980i
\(751\) −48.1470 −1.75691 −0.878454 0.477827i \(-0.841425\pi\)
−0.878454 + 0.477827i \(0.841425\pi\)
\(752\) −0.0976479 + 0.0563770i −0.00356085 + 0.00205586i
\(753\) −20.0908 + 34.7983i −0.732150 + 1.26812i
\(754\) 11.2334 1.14667i 0.409096 0.0417594i
\(755\) 0.562681 0.0204781
\(756\) 6.67125 + 48.8805i 0.242631 + 1.77777i
\(757\) 3.45319 5.98110i 0.125508 0.217387i −0.796423 0.604740i \(-0.793277\pi\)
0.921931 + 0.387353i \(0.126611\pi\)
\(758\) 9.20262 15.9394i 0.334254 0.578945i
\(759\) 14.9986 + 8.65942i 0.544413 + 0.314317i
\(760\) 0.120789i 0.00438147i
\(761\) −27.6895 15.9865i −1.00374 0.579511i −0.0943888 0.995535i \(-0.530090\pi\)
−0.909353 + 0.416025i \(0.863423\pi\)
\(762\) 53.2781i 1.93006i
\(763\) −11.6157 + 28.4234i −0.420517 + 1.02900i
\(764\) −2.50067 + 4.33129i −0.0904712 + 0.156701i
\(765\) 1.45533i 0.0526174i
\(766\) 32.5274 56.3391i 1.17526 2.03562i
\(767\) 3.46382 + 4.79769i 0.125071 + 0.173234i
\(768\) −13.2397 22.9319i −0.477748 0.827483i
\(769\) 12.4665 + 7.19752i 0.449553 + 0.259549i 0.707641 0.706572i \(-0.249759\pi\)
−0.258089 + 0.966121i \(0.583093\pi\)
\(770\) 2.93653 7.18562i 0.105825 0.258952i
\(771\) −4.82664 8.35999i −0.173827 0.301078i
\(772\) 19.9039 11.4915i 0.716357 0.413589i
\(773\) 37.2771i 1.34076i 0.742016 + 0.670382i \(0.233870\pi\)
−0.742016 + 0.670382i \(0.766130\pi\)
\(774\) 17.6964i 0.636083i