Properties

Label 91.2.k.b.23.1
Level $91$
Weight $2$
Character 91.23
Analytic conductor $0.727$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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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 23.1
Root \(1.21245 - 0.727987i\) of defining polynomial
Character \(\chi\) \(=\) 91.23
Dual form 91.2.k.b.4.6

$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{3}\right)\)

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 \(-0.697106\pi\)
0.580405 0.814328i \(-0.302894\pi\)
\(3\) 0.736680 1.27597i 0.425323 0.736680i −0.571128 0.820861i \(-0.693494\pi\)
0.996451 + 0.0841807i \(0.0268273\pi\)
\(4\) −3.30504 −1.65252
\(5\) 0.733776 + 0.423646i 0.328155 + 0.189460i 0.655022 0.755610i \(-0.272660\pi\)
−0.326867 + 0.945070i \(0.605993\pi\)
\(6\) −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 0.683270 0.730166i \(-0.260557\pi\)
−0.290707 + 0.956812i \(0.593890\pi\)
\(12\) −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 −0.495281 0.868733i \(-0.664935\pi\)
0.504704 + 0.863292i \(0.331602\pi\)
\(20\) −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 0.795973 0.605331i \(-0.206959\pi\)
−0.922219 + 0.386668i \(0.873626\pi\)
\(30\) −1.43766 2.49010i −0.262480 0.454628i
\(31\) −6.80787 + 3.93052i −1.22273 + 0.705943i −0.965499 0.260407i \(-0.916143\pi\)
−0.257230 + 0.966350i \(0.582810\pi\)
\(32\) 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 \(0.185722\pi\)
−0.834560 + 0.550917i \(0.814278\pi\)
\(38\) −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 −0.988945 0.148285i \(-0.952625\pi\)
−0.366054 + 0.930594i \(0.619291\pi\)
\(42\) 5.49947 7.09710i 0.848587 1.09511i
\(43\) 4.63283 8.02430i 0.706500 1.22369i −0.259647 0.965704i \(-0.583606\pi\)
0.966147 0.257991i \(-0.0830604\pi\)
\(44\) −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 0.477089 0.878855i \(-0.341692\pi\)
−0.522567 + 0.852598i \(0.675025\pi\)
\(48\) 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 0.757748 0.652547i \(-0.226299\pi\)
−0.943996 + 0.329956i \(0.892966\pi\)
\(54\) 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 \(0.0340709\pi\)
−0.994277 + 0.106833i \(0.965929\pi\)
\(60\) −3.57313 + 2.06295i −0.461289 + 0.266325i
\(61\) −2.26097 3.91612i −0.289488 0.501407i 0.684200 0.729295i \(-0.260152\pi\)
−0.973688 + 0.227887i \(0.926818\pi\)
\(62\) 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 0.388034 0.921645i \(-0.373154\pi\)
−0.604151 + 0.796870i \(0.706488\pi\)
\(68\) 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 0.999052 0.0435255i \(-0.0138590\pi\)
0.461832 + 0.886967i \(0.347192\pi\)
\(72\) −2.15854 + 1.24624i −0.254387 + 0.146870i
\(73\) 5.85563 3.38075i 0.685349 0.395687i −0.116518 0.993189i \(-0.537173\pi\)
0.801867 + 0.597502i \(0.203840\pi\)
\(74\) 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 0.325801 + 0.945438i \(0.394366\pi\)
−0.981674 + 0.190567i \(0.938967\pi\)
\(80\) 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 \(-0.781768\pi\)
0.774043 0.633133i \(-0.218232\pi\)
\(84\) −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 \(-0.621448\pi\)
0.372350 0.928093i \(-0.378552\pi\)
\(90\) 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 0.518622 0.855003i \(-0.326445\pi\)
−0.481143 + 0.876642i \(0.659778\pi\)
\(98\) −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 −0.518666 0.854977i \(-0.673571\pi\)
0.999765 + 0.0216891i \(0.00690441\pi\)
\(102\) 6.08763 + 3.51469i 0.602765 + 0.348007i
\(103\) −4.98912 + 8.64140i −0.491592 + 0.851463i −0.999953 0.00968129i \(-0.996918\pi\)
0.508361 + 0.861144i \(0.330252\pi\)
\(104\) 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 −0.896996 0.442038i \(-0.854256\pi\)
−0.0656822 + 0.997841i \(0.520922\pi\)
\(110\) 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 −0.772576 0.634923i \(-0.781032\pi\)
0.936147 + 0.351609i \(0.114365\pi\)
\(114\) −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 −0.969649 0.244499i \(-0.921376\pi\)
0.273082 0.961991i \(-0.411957\pi\)
\(128\) 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 −0.805063 0.593190i \(-0.797868\pi\)
0.916249 + 0.400610i \(0.131202\pi\)
\(132\) −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 \(-0.974617\pi\)
0.996822 0.0796571i \(-0.0253825\pi\)
\(138\) −22.9783 13.2665i −1.95605 1.12932i
\(139\) −7.80462 + 13.5180i −0.661979 + 1.14658i 0.318116 + 0.948052i \(0.396950\pi\)
−0.980095 + 0.198530i \(0.936383\pi\)
\(140\) 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 −0.256973 0.966419i \(-0.582725\pi\)
0.708457 + 0.705754i \(0.249392\pi\)
\(150\) 14.5315i 1.18649i
\(151\) 0.575122 0.332047i 0.0468028 0.0270216i −0.476416 0.879220i \(-0.658064\pi\)
0.523219 + 0.852198i \(0.324731\pi\)
\(152\) 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 0.980234 + 0.197842i \(0.0633933\pi\)
−0.318781 + 0.947828i \(0.603273\pi\)
\(158\) 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 −0.160548 0.987028i \(-0.551326\pi\)
0.774517 + 0.632553i \(0.217993\pi\)
\(164\) 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 −0.586400 0.810022i \(-0.699455\pi\)
0.408300 + 0.912848i \(0.366122\pi\)
\(168\) −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 0.950387 + 0.311070i \(0.100687\pi\)
−0.205799 + 0.978594i \(0.565979\pi\)
\(174\) 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 −0.915012 0.403426i \(-0.867819\pi\)
0.806884 + 0.590711i \(0.201152\pi\)
\(180\) 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 0.892100 0.451837i \(-0.149231\pi\)
−0.837353 + 0.546663i \(0.815898\pi\)
\(192\) 9.43792 16.3470i 0.681123 1.17974i
\(193\) −6.02229 3.47697i −0.433494 0.250278i 0.267340 0.963602i \(-0.413855\pi\)
−0.700834 + 0.713324i \(0.747189\pi\)
\(194\) 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 −0.894622 0.446825i \(-0.852555\pi\)
−0.0603494 + 0.998177i \(0.519221\pi\)
\(198\) 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 0.971041 0.238912i \(-0.0767907\pi\)
−0.692424 + 0.721490i \(0.743457\pi\)
\(212\) 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 0.0440506 0.999029i \(-0.485974\pi\)
0.887210 + 0.461366i \(0.152640\pi\)
\(224\) −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 \(-0.986308\pi\)
0.999075 0.0430029i \(-0.0136925\pi\)
\(228\) 0.230947i 0.0152948i
\(229\) 18.0285 + 10.4088i 1.19136 + 0.687831i 0.958614 0.284707i \(-0.0918965\pi\)
0.232743 + 0.972538i \(0.425230\pi\)
\(230\) 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 −0.997360 0.0726127i \(-0.976866\pi\)
0.561565 + 0.827433i \(0.310200\pi\)
\(234\) −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 \(-0.857715\pi\)
0.901748 0.432263i \(-0.142285\pi\)
\(240\) 0.338599 0.195490i 0.0218565 0.0126188i
\(241\) 0.834153i 0.0537325i −0.999639 0.0268663i \(-0.991447\pi\)
0.999639 0.0268663i \(-0.00855282\pi\)
\(242\) −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 −0.0105555 0.999944i \(-0.503360\pi\)
0.871255 0.490831i \(-0.163307\pi\)
\(252\) 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 −0.273239 0.961946i \(-0.588095\pi\)
0.969689 0.244341i \(-0.0785717\pi\)
\(264\) 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 \(0.0857174\pi\)
−0.963960 + 0.266046i \(0.914283\pi\)
\(272\) −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 \(0.137368\pi\)
−0.908317 + 0.418283i \(0.862632\pi\)
\(282\) 0.610861 + 1.05804i 0.0363762 + 0.0630055i
\(283\) 0.506295 0.876929i 0.0300961 0.0521280i −0.850585 0.525838i \(-0.823752\pi\)
0.880681 + 0.473710i \(0.157085\pi\)
\(284\) −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 0.494952 0.868921i \(-0.335186\pi\)
−0.505032 + 0.863101i \(0.668519\pi\)
\(294\) 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 \(0.282857\pi\)
−0.630482 + 0.776204i \(0.717143\pi\)
\(308\) 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 0.938443 + 0.345434i \(0.112268\pi\)
−0.170067 + 0.985432i \(0.554398\pi\)
\(312\) −6.53839 14.5679i −0.370163 0.824744i
\(313\) 11.0392 19.1205i 0.623975 1.08076i −0.364763 0.931100i \(-0.618850\pi\)
0.988738 0.149656i \(-0.0478165\pi\)
\(314\) 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 0.318149 0.948041i \(-0.396939\pi\)
−0.661953 + 0.749545i \(0.730272\pi\)
\(318\) 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 −0.334923 0.942245i \(-0.608710\pi\)
0.648547 + 0.761175i \(0.275377\pi\)
\(332\) 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 −0.270816 0.962631i \(-0.587294\pi\)
0.698255 + 0.715849i \(0.253960\pi\)
\(350\) −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 0.548832 0.835933i \(-0.315073\pi\)
−0.449523 + 0.893269i \(0.648406\pi\)
\(354\) 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 0.291513 0.956567i \(-0.405841\pi\)
−0.682654 + 0.730741i \(0.739175\pi\)
\(360\) −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 −0.894458 0.447153i \(-0.852438\pi\)
0.834474 + 0.551047i \(0.185771\pi\)
\(368\) 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 0.672517 0.740082i \(-0.265213\pi\)
−0.977188 + 0.212375i \(0.931880\pi\)
\(374\) −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 −0.667094 0.744974i \(-0.732462\pi\)
0.311619 + 0.950207i \(0.399129\pi\)
\(380\) −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 −0.971084 0.238736i \(-0.923267\pi\)
−0.278791 + 0.960352i \(0.589934\pi\)
\(384\) −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 0.946808 0.321799i \(-0.104288\pi\)
−0.752090 + 0.659060i \(0.770954\pi\)
\(390\) −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 −0.329211 0.944256i \(-0.606783\pi\)
0.653144 + 0.757233i \(0.273449\pi\)
\(398\) 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 \(0.150142\pi\)
−0.890804 + 0.454389i \(0.849858\pi\)
\(402\) 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 \(-0.742318\pi\)
0.689838 0.723964i \(-0.257682\pi\)
\(410\) 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 0.999971 + 0.00762733i \(0.00242788\pi\)
−0.493380 + 0.869814i \(0.664239\pi\)
\(420\) −4.12953 10.1049i −0.201500 0.493067i
\(421\) 24.8696i 1.21207i 0.795437 + 0.606036i \(0.207241\pi\)
−0.795437 + 0.606036i \(0.792759\pi\)
\(422\) 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 −0.0113906 0.999935i \(-0.503626\pi\)
−0.871665 + 0.490103i \(0.836959\pi\)
\(432\) 1.76698 0.0850138
\(433\) −11.7148 + 20.2906i −0.562977 + 0.975105i 0.434258 + 0.900789i \(0.357011\pi\)
−0.997235 + 0.0743163i \(0.976323\pi\)
\(434\) −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 −0.990139 0.140086i \(-0.955262\pi\)
0.616388 + 0.787443i \(0.288595\pi\)
\(444\) −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 0.926171 0.377104i \(-0.123080\pi\)
0.136504 + 0.990640i \(0.456413\pi\)
\(450\) −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 \(-0.744011\pi\)
0.693679 0.720284i \(-0.255989\pi\)
\(458\) 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 −0.383665 0.923472i \(-0.625338\pi\)
−0.991583 + 0.129472i \(0.958672\pi\)
\(462\) 12.4951 5.10635i 0.581325 0.237569i
\(463\) 1.69184i 0.0786263i −0.999227 0.0393131i \(-0.987483\pi\)
0.999227 0.0393131i \(-0.0125170\pi\)
\(464\) −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 −0.325647 0.945491i \(-0.605582\pi\)
0.981643 0.190727i \(-0.0610845\pi\)
\(468\) −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 0.619121 0.785296i \(-0.287489\pi\)
−0.370526 + 0.928822i \(0.620822\pi\)
\(480\) 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 \(-0.904700\pi\)
0.955515 0.294942i \(-0.0953002\pi\)
\(488\) 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 0.692342 0.721569i \(-0.256579\pi\)
−0.971068 + 0.238801i \(0.923246\pi\)
\(492\) 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 0.666826 0.745214i \(-0.267652\pi\)
−0.311961 + 0.950095i \(0.600986\pi\)
\(500\) 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 0.498302 + 0.867003i \(0.333957\pi\)
−0.999998 + 0.00195935i \(0.999376\pi\)
\(504\) −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 \(0.327551\pi\)
−0.515649 + 0.856800i \(0.672449\pi\)
\(510\) 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 −0.849823 0.527068i \(-0.823291\pi\)
−0.0315430 0.999502i \(-0.510042\pi\)
\(522\) −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 −0.00981448 0.999952i \(-0.503124\pi\)
−0.870891 + 0.491476i \(0.836457\pi\)
\(542\) 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 0.612921 0.790145i \(-0.289995\pi\)
−0.377825 + 0.925877i \(0.623328\pi\)
\(558\) −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 0.962970 + 0.269610i \(0.0868946\pi\)
−0.247996 + 0.968761i \(0.579772\pi\)
\(572\) 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 −0.610191 0.792254i \(-0.708907\pi\)
0.381017 + 0.924568i \(0.375574\pi\)
\(578\) 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 0.180695 0.983539i \(-0.442165\pi\)
0.942118 + 0.335283i \(0.108832\pi\)
\(588\) 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 0.508387 0.861128i \(-0.330242\pi\)
−0.491565 + 0.870841i \(0.663575\pi\)
\(594\) 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 0.947448 0.319910i \(-0.103653\pi\)
−0.750774 + 0.660559i \(0.770320\pi\)
\(600\) 18.9641i 0.774207i
\(601\) 20.5399 + 35.5762i 0.837842 + 1.45118i 0.891696 + 0.452635i \(0.149516\pi\)
−0.0538542 + 0.998549i \(0.517151\pi\)
\(602\) 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 0.604756 0.796411i \(-0.293271\pi\)
−0.992090 + 0.125529i \(0.959937\pi\)
\(608\) 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 −0.344149 0.938915i \(-0.611833\pi\)
−0.985199 + 0.171415i \(0.945166\pi\)
\(614\) 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 0.637900 0.770119i \(-0.279803\pi\)
−0.347992 + 0.937497i \(0.613136\pi\)
\(618\) 29.3250 16.9308i 1.17962 0.681056i
\(619\) −38.5146 + 22.2364i −1.54803 + 0.893756i −0.549739 + 0.835336i \(0.685273\pi\)
−0.998292 + 0.0584199i \(0.981394\pi\)
\(620\) 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 0.283539 0.958961i \(-0.408492\pi\)
−0.688715 + 0.725032i \(0.741825\pi\)
\(632\) −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 0.927736 0.373237i \(-0.121752\pi\)
0.140635 + 0.990061i \(0.455085\pi\)
\(644\) 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 0.471327 + 0.881959i \(0.343775\pi\)
−0.999462 + 0.0327983i \(0.989558\pi\)
\(648\) 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 −0.995727 0.0923492i \(-0.970562\pi\)
0.577840 + 0.816150i \(0.303896\pi\)
\(660\) −6.20288 −0.241447
\(661\) −36.7084 21.1936i −1.42779 0.824335i −0.430844 0.902426i \(-0.641784\pi\)
−0.996946 + 0.0780909i \(0.975118\pi\)
\(662\) −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 −0.996543 0.0830790i \(-0.973525\pi\)
0.426323 0.904571i \(-0.359809\pi\)
\(674\) 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 0.371711 + 0.928349i \(0.378771\pi\)
−0.989829 + 0.142263i \(0.954562\pi\)
\(678\) −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 \(-0.947373\pi\)
0.986364 0.164580i \(-0.0526269\pi\)
\(684\) −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 \(-0.872881\pi\)
0.921311 0.388826i \(-0.127119\pi\)
\(692\) −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 −0.895937 0.444181i \(-0.853495\pi\)
−0.0632970 + 0.997995i \(0.520162\pi\)
\(710\) 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 0.777832 0.628472i \(-0.216319\pi\)
−0.933189 + 0.359386i \(0.882986\pi\)
\(720\) 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 0.258757 0.965942i \(-0.416687\pi\)
−0.707152 + 0.707061i \(0.750020\pi\)
\(734\) 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 0.968383 0.249468i \(-0.0802559\pi\)
0.268146 + 0.963378i \(0.413589\pi\)
\(740\) 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 0.158445 0.987368i \(-0.449352\pi\)
0.934308 + 0.356467i \(0.116019\pi\)
\(744\) −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 0.921931 0.387353i \(-0.126611\pi\)
−0.796423 + 0.604740i \(0.793277\pi\)
\(758\) 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 −0.909353 0.416025i \(-0.863423\pi\)
−0.0943888 + 0.995535i \(0.530090\pi\)
\(762\) 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 −0.258089 0.966121i \(-0.583093\pi\)
0.707641 + 0.706572i \(0.249759\pi\)
\(770\) 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 \(-0.766130\pi\)
0.742016 0.670382i \(-0.233870\pi\)
\(774\) 17.6964i 0.636083i