Properties

Label 91.2.k.b.4.5
Level $91$
Weight $2$
Character 91.4
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 4.5
Root \(0.874681 - 1.11128i\) of defining polynomial
Character \(\chi\) \(=\) 91.4
Dual form 91.2.k.b.23.2

$q$-expansion

\(f(q)\) \(=\) \(q+1.34523i q^{2} +(-1.02505 - 1.77544i) q^{3} +0.190366 q^{4} +(3.08979 - 1.78389i) q^{5} +(2.38837 - 1.37893i) q^{6} +(-2.44601 + 1.00849i) q^{7} +2.94654i q^{8} +(-0.601462 + 1.04176i) q^{9} +O(q^{10})\) \(q+1.34523i q^{2} +(-1.02505 - 1.77544i) q^{3} +0.190366 q^{4} +(3.08979 - 1.78389i) q^{5} +(2.38837 - 1.37893i) q^{6} +(-2.44601 + 1.00849i) q^{7} +2.94654i q^{8} +(-0.601462 + 1.04176i) q^{9} +(2.39973 + 4.15646i) q^{10} +(-1.10736 + 0.639336i) q^{11} +(-0.195135 - 0.337984i) q^{12} +(3.57420 + 0.474474i) q^{13} +(-1.35664 - 3.29043i) q^{14} +(-6.33438 - 3.65716i) q^{15} -3.58303 q^{16} -7.73920 q^{17} +(-1.40141 - 0.809103i) q^{18} +(0.817422 + 0.471939i) q^{19} +(0.588191 - 0.339592i) q^{20} +(4.29779 + 3.30899i) q^{21} +(-0.860052 - 1.48965i) q^{22} -1.64727 q^{23} +(5.23141 - 3.02035i) q^{24} +(3.86451 - 6.69354i) q^{25} +(-0.638275 + 4.80810i) q^{26} -3.68419 q^{27} +(-0.465638 + 0.191982i) q^{28} +(-2.02242 + 3.50293i) q^{29} +(4.91970 - 8.52117i) q^{30} +(4.46193 + 2.57610i) q^{31} +1.07309i q^{32} +(2.27021 + 1.31071i) q^{33} -10.4110i q^{34} +(-5.75861 + 7.47941i) q^{35} +(-0.114498 + 0.198317i) q^{36} +1.05608i q^{37} +(-0.634865 + 1.09962i) q^{38} +(-2.82133 - 6.83214i) q^{39} +(5.25629 + 9.10417i) q^{40} +(-3.63629 - 2.09941i) q^{41} +(-4.45135 + 5.78150i) q^{42} +(1.91532 + 3.31744i) q^{43} +(-0.210805 + 0.121708i) q^{44} +4.29176i q^{45} -2.21596i q^{46} +(0.774415 - 0.447109i) q^{47} +(3.67279 + 6.36146i) q^{48} +(4.96591 - 4.93353i) q^{49} +(9.00432 + 5.19865i) q^{50} +(7.93308 + 13.7405i) q^{51} +(0.680407 + 0.0903239i) q^{52} +(0.0399961 - 0.0692754i) q^{53} -4.95607i q^{54} +(-2.28101 + 3.95082i) q^{55} +(-2.97154 - 7.20726i) q^{56} -1.93505i q^{57} +(-4.71224 - 2.72061i) q^{58} -11.1847i q^{59} +(-1.20585 - 0.696200i) q^{60} +(3.81196 - 6.60251i) q^{61} +(-3.46543 + 6.00231i) q^{62} +(0.420578 - 3.15473i) q^{63} -8.60961 q^{64} +(11.8899 - 4.90994i) q^{65} +(-1.76319 + 3.05394i) q^{66} +(5.47418 - 3.16052i) q^{67} -1.47328 q^{68} +(1.68854 + 2.92464i) q^{69} +(-10.0615 - 7.74664i) q^{70} +(9.89346 - 5.71199i) q^{71} +(-3.06959 - 1.77223i) q^{72} +(0.658617 + 0.380253i) q^{73} -1.42067 q^{74} -15.8453 q^{75} +(0.155610 + 0.0898413i) q^{76} +(2.06386 - 2.68058i) q^{77} +(9.19077 - 3.79533i) q^{78} +(1.42765 + 2.47277i) q^{79} +(-11.0708 + 6.39172i) q^{80} +(5.58087 + 9.66636i) q^{81} +(2.82418 - 4.89163i) q^{82} -2.32483i q^{83} +(0.818155 + 0.629921i) q^{84} +(-23.9125 + 13.8059i) q^{85} +(-4.46270 + 2.57654i) q^{86} +8.29233 q^{87} +(-1.88383 - 3.26289i) q^{88} +7.57626i q^{89} -5.77339 q^{90} +(-9.22101 + 2.44396i) q^{91} -0.313586 q^{92} -10.5625i q^{93} +(0.601462 + 1.04176i) q^{94} +3.36755 q^{95} +(1.90522 - 1.09998i) q^{96} +(-0.414443 + 0.239279i) q^{97} +(6.63671 + 6.68028i) q^{98} -1.53815i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.34523i 0.951219i 0.879657 + 0.475609i \(0.157772\pi\)
−0.879657 + 0.475609i \(0.842228\pi\)
\(3\) −1.02505 1.77544i −0.591814 1.02505i −0.993988 0.109489i \(-0.965079\pi\)
0.402174 0.915563i \(-0.368255\pi\)
\(4\) 0.190366 0.0951832
\(5\) 3.08979 1.78389i 1.38179 0.797779i 0.389422 0.921059i \(-0.372675\pi\)
0.992372 + 0.123280i \(0.0393415\pi\)
\(6\) 2.38837 1.37893i 0.975048 0.562944i
\(7\) −2.44601 + 1.00849i −0.924504 + 0.381172i
\(8\) 2.94654i 1.04176i
\(9\) −0.601462 + 1.04176i −0.200487 + 0.347254i
\(10\) 2.39973 + 4.15646i 0.758862 + 1.31439i
\(11\) −1.10736 + 0.639336i −0.333882 + 0.192767i −0.657563 0.753399i \(-0.728413\pi\)
0.323681 + 0.946166i \(0.395080\pi\)
\(12\) −0.195135 0.337984i −0.0563307 0.0975677i
\(13\) 3.57420 + 0.474474i 0.991304 + 0.131595i
\(14\) −1.35664 3.29043i −0.362578 0.879406i
\(15\) −6.33438 3.65716i −1.63553 0.944273i
\(16\) −3.58303 −0.895757
\(17\) −7.73920 −1.87703 −0.938515 0.345238i \(-0.887798\pi\)
−0.938515 + 0.345238i \(0.887798\pi\)
\(18\) −1.40141 0.809103i −0.330315 0.190707i
\(19\) 0.817422 + 0.471939i 0.187530 + 0.108270i 0.590826 0.806799i \(-0.298802\pi\)
−0.403296 + 0.915070i \(0.632135\pi\)
\(20\) 0.588191 0.339592i 0.131524 0.0759352i
\(21\) 4.29779 + 3.30899i 0.937855 + 0.722082i
\(22\) −0.860052 1.48965i −0.183364 0.317595i
\(23\) −1.64727 −0.343481 −0.171740 0.985142i \(-0.554939\pi\)
−0.171740 + 0.985142i \(0.554939\pi\)
\(24\) 5.23141 3.02035i 1.06786 0.616527i
\(25\) 3.86451 6.69354i 0.772903 1.33871i
\(26\) −0.638275 + 4.80810i −0.125176 + 0.942946i
\(27\) −3.68419 −0.709023
\(28\) −0.465638 + 0.191982i −0.0879973 + 0.0362812i
\(29\) −2.02242 + 3.50293i −0.375554 + 0.650478i −0.990410 0.138161i \(-0.955881\pi\)
0.614856 + 0.788639i \(0.289214\pi\)
\(30\) 4.91970 8.52117i 0.898210 1.55575i
\(31\) 4.46193 + 2.57610i 0.801387 + 0.462681i 0.843956 0.536413i \(-0.180221\pi\)
−0.0425691 + 0.999094i \(0.513554\pi\)
\(32\) 1.07309i 0.189698i
\(33\) 2.27021 + 1.31071i 0.395192 + 0.228164i
\(34\) 10.4110i 1.78547i
\(35\) −5.75861 + 7.47941i −0.973383 + 1.26425i
\(36\) −0.114498 + 0.198317i −0.0190830 + 0.0330528i
\(37\) 1.05608i 0.173619i 0.996225 + 0.0868094i \(0.0276671\pi\)
−0.996225 + 0.0868094i \(0.972333\pi\)
\(38\) −0.634865 + 1.09962i −0.102989 + 0.178382i
\(39\) −2.82133 6.83214i −0.451775 1.09402i
\(40\) 5.25629 + 9.10417i 0.831093 + 1.43950i
\(41\) −3.63629 2.09941i −0.567893 0.327873i 0.188415 0.982090i \(-0.439665\pi\)
−0.756307 + 0.654217i \(0.772998\pi\)
\(42\) −4.45135 + 5.78150i −0.686858 + 0.892105i
\(43\) 1.91532 + 3.31744i 0.292084 + 0.505904i 0.974302 0.225244i \(-0.0723180\pi\)
−0.682218 + 0.731148i \(0.738985\pi\)
\(44\) −0.210805 + 0.121708i −0.0317800 + 0.0183482i
\(45\) 4.29176i 0.639778i
\(46\) 2.21596i 0.326725i
\(47\) 0.774415 0.447109i 0.112960 0.0652175i −0.442456 0.896790i \(-0.645893\pi\)
0.555416 + 0.831573i \(0.312559\pi\)
\(48\) 3.67279 + 6.36146i 0.530121 + 0.918197i
\(49\) 4.96591 4.93353i 0.709416 0.704790i
\(50\) 9.00432 + 5.19865i 1.27340 + 0.735200i
\(51\) 7.93308 + 13.7405i 1.11085 + 1.92405i
\(52\) 0.680407 + 0.0903239i 0.0943554 + 0.0125257i
\(53\) 0.0399961 0.0692754i 0.00549389 0.00951570i −0.863265 0.504750i \(-0.831585\pi\)
0.868759 + 0.495235i \(0.164918\pi\)
\(54\) 4.95607i 0.674436i
\(55\) −2.28101 + 3.95082i −0.307571 + 0.532729i
\(56\) −2.97154 7.20726i −0.397089 0.963110i
\(57\) 1.93505i 0.256303i
\(58\) −4.71224 2.72061i −0.618747 0.357234i
\(59\) 11.1847i 1.45613i −0.685509 0.728064i \(-0.740420\pi\)
0.685509 0.728064i \(-0.259580\pi\)
\(60\) −1.20585 0.696200i −0.155675 0.0898790i
\(61\) 3.81196 6.60251i 0.488072 0.845365i −0.511834 0.859084i \(-0.671034\pi\)
0.999906 + 0.0137195i \(0.00436719\pi\)
\(62\) −3.46543 + 6.00231i −0.440111 + 0.762294i
\(63\) 0.420578 3.15473i 0.0529879 0.397458i
\(64\) −8.60961 −1.07620
\(65\) 11.8899 4.90994i 1.47476 0.609003i
\(66\) −1.76319 + 3.05394i −0.217034 + 0.375914i
\(67\) 5.47418 3.16052i 0.668777 0.386119i −0.126836 0.991924i \(-0.540482\pi\)
0.795613 + 0.605805i \(0.207149\pi\)
\(68\) −1.47328 −0.178662
\(69\) 1.68854 + 2.92464i 0.203277 + 0.352085i
\(70\) −10.0615 7.74664i −1.20258 0.925900i
\(71\) 9.89346 5.71199i 1.17414 0.677889i 0.219487 0.975616i \(-0.429562\pi\)
0.954651 + 0.297727i \(0.0962285\pi\)
\(72\) −3.06959 1.77223i −0.361755 0.208859i
\(73\) 0.658617 + 0.380253i 0.0770853 + 0.0445052i 0.538047 0.842915i \(-0.319162\pi\)
−0.460962 + 0.887420i \(0.652496\pi\)
\(74\) −1.42067 −0.165149
\(75\) −15.8453 −1.82966
\(76\) 0.155610 + 0.0898413i 0.0178497 + 0.0103055i
\(77\) 2.06386 2.68058i 0.235198 0.305481i
\(78\) 9.19077 3.79533i 1.04065 0.429737i
\(79\) 1.42765 + 2.47277i 0.160624 + 0.278208i 0.935093 0.354404i \(-0.115316\pi\)
−0.774469 + 0.632612i \(0.781983\pi\)
\(80\) −11.0708 + 6.39172i −1.23775 + 0.714616i
\(81\) 5.58087 + 9.66636i 0.620097 + 1.07404i
\(82\) 2.82418 4.89163i 0.311879 0.540190i
\(83\) 2.32483i 0.255183i −0.991827 0.127591i \(-0.959275\pi\)
0.991827 0.127591i \(-0.0407246\pi\)
\(84\) 0.818155 + 0.629921i 0.0892681 + 0.0687301i
\(85\) −23.9125 + 13.8059i −2.59367 + 1.49746i
\(86\) −4.46270 + 2.57654i −0.481226 + 0.277836i
\(87\) 8.29233 0.889032
\(88\) −1.88383 3.26289i −0.200817 0.347825i
\(89\) 7.57626i 0.803082i 0.915841 + 0.401541i \(0.131525\pi\)
−0.915841 + 0.401541i \(0.868475\pi\)
\(90\) −5.77339 −0.608569
\(91\) −9.22101 + 2.44396i −0.966625 + 0.256196i
\(92\) −0.313586 −0.0326936
\(93\) 10.5625i 1.09528i
\(94\) 0.601462 + 1.04176i 0.0620361 + 0.107450i
\(95\) 3.36755 0.345503
\(96\) 1.90522 1.09998i 0.194450 0.112266i
\(97\) −0.414443 + 0.239279i −0.0420803 + 0.0242951i −0.520893 0.853622i \(-0.674401\pi\)
0.478812 + 0.877917i \(0.341067\pi\)
\(98\) 6.63671 + 6.68028i 0.670409 + 0.674810i
\(99\) 1.53815i 0.154589i
\(100\) 0.735674 1.27422i 0.0735674 0.127422i
\(101\) 1.43918 + 2.49273i 0.143204 + 0.248036i 0.928701 0.370829i \(-0.120926\pi\)
−0.785498 + 0.618865i \(0.787593\pi\)
\(102\) −18.4841 + 10.6718i −1.83020 + 1.05666i
\(103\) −5.66755 9.81649i −0.558441 0.967248i −0.997627 0.0688516i \(-0.978066\pi\)
0.439186 0.898396i \(-0.355267\pi\)
\(104\) −1.39806 + 10.5315i −0.137091 + 1.03270i
\(105\) 19.1821 + 2.55730i 1.87198 + 0.249567i
\(106\) 0.0931910 + 0.0538039i 0.00905151 + 0.00522589i
\(107\) −6.57206 −0.635345 −0.317673 0.948200i \(-0.602901\pi\)
−0.317673 + 0.948200i \(0.602901\pi\)
\(108\) −0.701346 −0.0674871
\(109\) −5.05684 2.91957i −0.484358 0.279644i 0.237873 0.971296i \(-0.423550\pi\)
−0.722231 + 0.691652i \(0.756883\pi\)
\(110\) −5.31475 3.06847i −0.506741 0.292567i
\(111\) 1.87501 1.08254i 0.177968 0.102750i
\(112\) 8.76412 3.61343i 0.828131 0.341437i
\(113\) −3.26617 5.65717i −0.307255 0.532181i 0.670506 0.741904i \(-0.266077\pi\)
−0.977761 + 0.209723i \(0.932744\pi\)
\(114\) 2.60308 0.243800
\(115\) −5.08973 + 2.93855i −0.474619 + 0.274022i
\(116\) −0.385001 + 0.666841i −0.0357464 + 0.0619146i
\(117\) −2.64403 + 3.43809i −0.244441 + 0.317851i
\(118\) 15.0460 1.38510
\(119\) 18.9301 7.80487i 1.73532 0.715471i
\(120\) 10.7759 18.6645i 0.983705 1.70383i
\(121\) −4.68250 + 8.11033i −0.425682 + 0.737302i
\(122\) 8.88187 + 5.12795i 0.804127 + 0.464263i
\(123\) 8.60802i 0.776159i
\(124\) 0.849402 + 0.490402i 0.0762786 + 0.0440394i
\(125\) 9.73656i 0.870865i
\(126\) 4.24382 + 0.565773i 0.378070 + 0.0504030i
\(127\) 7.35818 12.7447i 0.652932 1.13091i −0.329475 0.944164i \(-0.606872\pi\)
0.982408 0.186748i \(-0.0597948\pi\)
\(128\) 9.43568i 0.834005i
\(129\) 3.92661 6.80109i 0.345719 0.598802i
\(130\) 6.60498 + 15.9946i 0.579295 + 1.40282i
\(131\) −5.59335 9.68796i −0.488693 0.846441i 0.511222 0.859448i \(-0.329193\pi\)
−0.999915 + 0.0130074i \(0.995860\pi\)
\(132\) 0.432171 + 0.249514i 0.0376157 + 0.0217174i
\(133\) −2.47537 0.330008i −0.214641 0.0286153i
\(134\) 4.25161 + 7.36400i 0.367283 + 0.636153i
\(135\) −11.3834 + 6.57219i −0.979724 + 0.565644i
\(136\) 22.8038i 1.95541i
\(137\) 17.6308i 1.50630i 0.657848 + 0.753151i \(0.271467\pi\)
−0.657848 + 0.753151i \(0.728533\pi\)
\(138\) −3.93430 + 2.27147i −0.334910 + 0.193360i
\(139\) 2.92855 + 5.07240i 0.248396 + 0.430235i 0.963081 0.269212i \(-0.0867631\pi\)
−0.714685 + 0.699447i \(0.753430\pi\)
\(140\) −1.09625 + 1.42383i −0.0926497 + 0.120335i
\(141\) −1.58763 0.916619i −0.133703 0.0771932i
\(142\) 7.68392 + 13.3089i 0.644820 + 1.11686i
\(143\) −4.26128 + 1.75970i −0.356346 + 0.147153i
\(144\) 2.15506 3.73267i 0.179588 0.311055i
\(145\) 14.4311i 1.19844i
\(146\) −0.511526 + 0.885989i −0.0423342 + 0.0733250i
\(147\) −13.8495 3.75957i −1.14229 0.310084i
\(148\) 0.201043i 0.0165256i
\(149\) 9.07505 + 5.23948i 0.743457 + 0.429235i 0.823325 0.567570i \(-0.192116\pi\)
−0.0798677 + 0.996805i \(0.525450\pi\)
\(150\) 21.3155i 1.74041i
\(151\) −4.08249 2.35703i −0.332229 0.191812i 0.324602 0.945851i \(-0.394770\pi\)
−0.656830 + 0.754039i \(0.728103\pi\)
\(152\) −1.39059 + 2.40857i −0.112791 + 0.195361i
\(153\) 4.65483 8.06241i 0.376321 0.651807i
\(154\) 3.60599 + 2.77635i 0.290579 + 0.223725i
\(155\) 18.3819 1.47647
\(156\) −0.537087 1.30061i −0.0430014 0.104132i
\(157\) −4.50105 + 7.79604i −0.359223 + 0.622192i −0.987831 0.155530i \(-0.950291\pi\)
0.628608 + 0.777722i \(0.283625\pi\)
\(158\) −3.32643 + 1.92052i −0.264637 + 0.152788i
\(159\) −0.163992 −0.0130054
\(160\) 1.91428 + 3.31563i 0.151337 + 0.262123i
\(161\) 4.02925 1.66125i 0.317549 0.130925i
\(162\) −13.0034 + 7.50754i −1.02165 + 0.589848i
\(163\) 10.4203 + 6.01619i 0.816185 + 0.471224i 0.849099 0.528234i \(-0.177146\pi\)
−0.0329144 + 0.999458i \(0.510479\pi\)
\(164\) −0.692227 0.399657i −0.0540538 0.0312080i
\(165\) 9.35261 0.728099
\(166\) 3.12742 0.242735
\(167\) −16.8199 9.71099i −1.30157 0.751459i −0.320893 0.947116i \(-0.603983\pi\)
−0.980672 + 0.195657i \(0.937316\pi\)
\(168\) −9.75008 + 12.6636i −0.752235 + 0.977019i
\(169\) 12.5497 + 3.39173i 0.965365 + 0.260902i
\(170\) −18.5720 32.1677i −1.42441 2.46715i
\(171\) −0.983297 + 0.567707i −0.0751946 + 0.0434136i
\(172\) 0.364613 + 0.631528i 0.0278015 + 0.0481536i
\(173\) 7.18976 12.4530i 0.546627 0.946786i −0.451875 0.892081i \(-0.649245\pi\)
0.998503 0.0547049i \(-0.0174218\pi\)
\(174\) 11.1551i 0.845663i
\(175\) −2.70230 + 20.2697i −0.204275 + 1.53225i
\(176\) 3.96771 2.29076i 0.299077 0.172672i
\(177\) −19.8578 + 11.4649i −1.49261 + 0.861757i
\(178\) −10.1918 −0.763907
\(179\) 2.71303 + 4.69911i 0.202781 + 0.351228i 0.949424 0.313998i \(-0.101669\pi\)
−0.746642 + 0.665226i \(0.768335\pi\)
\(180\) 0.817008i 0.0608962i
\(181\) −15.4902 −1.15138 −0.575688 0.817669i \(-0.695266\pi\)
−0.575688 + 0.817669i \(0.695266\pi\)
\(182\) −3.28768 12.4043i −0.243699 0.919471i
\(183\) −15.6298 −1.15539
\(184\) 4.85376i 0.357824i
\(185\) 1.88393 + 3.26307i 0.138509 + 0.239905i
\(186\) 14.2090 1.04185
\(187\) 8.57010 4.94795i 0.626707 0.361830i
\(188\) 0.147423 0.0851144i 0.0107519 0.00620761i
\(189\) 9.01156 3.71545i 0.655495 0.270260i
\(190\) 4.53011i 0.328649i
\(191\) −2.37311 + 4.11035i −0.171712 + 0.297414i −0.939019 0.343866i \(-0.888263\pi\)
0.767306 + 0.641281i \(0.221597\pi\)
\(192\) 8.82529 + 15.2859i 0.636911 + 1.10316i
\(193\) 18.2204 10.5196i 1.31154 0.757215i 0.329185 0.944266i \(-0.393226\pi\)
0.982350 + 0.187050i \(0.0598928\pi\)
\(194\) −0.321884 0.557519i −0.0231099 0.0400276i
\(195\) −20.9051 16.0769i −1.49704 1.15129i
\(196\) 0.945343 0.939178i 0.0675245 0.0670842i
\(197\) 5.03342 + 2.90604i 0.358616 + 0.207047i 0.668474 0.743736i \(-0.266948\pi\)
−0.309857 + 0.950783i \(0.600281\pi\)
\(198\) 2.06915 0.147048
\(199\) −10.6182 −0.752703 −0.376352 0.926477i \(-0.622821\pi\)
−0.376352 + 0.926477i \(0.622821\pi\)
\(200\) 19.7228 + 11.3869i 1.39461 + 0.805178i
\(201\) −11.2226 6.47939i −0.791583 0.457021i
\(202\) −3.35329 + 1.93602i −0.235936 + 0.136218i
\(203\) 1.41420 10.6078i 0.0992571 0.744520i
\(204\) 1.51019 + 2.61573i 0.105735 + 0.183138i
\(205\) −14.9805 −1.04628
\(206\) 13.2054 7.62414i 0.920064 0.531199i
\(207\) 0.990773 1.71607i 0.0688635 0.119275i
\(208\) −12.8064 1.70005i −0.887967 0.117877i
\(209\) −1.20691 −0.0834837
\(210\) −3.44015 + 25.8043i −0.237393 + 1.78067i
\(211\) 2.33275 4.04043i 0.160593 0.278155i −0.774489 0.632588i \(-0.781993\pi\)
0.935081 + 0.354433i \(0.115326\pi\)
\(212\) 0.00761392 0.0131877i 0.000522926 0.000905735i
\(213\) −20.2826 11.7102i −1.38974 0.802368i
\(214\) 8.84091i 0.604352i
\(215\) 11.8359 + 6.83344i 0.807200 + 0.466037i
\(216\) 10.8556i 0.738631i
\(217\) −13.5119 1.80136i −0.917246 0.122284i
\(218\) 3.92748 6.80260i 0.266003 0.460730i
\(219\) 1.55912i 0.105355i
\(220\) −0.434227 + 0.752104i −0.0292756 + 0.0507068i
\(221\) −27.6614 3.67205i −1.86071 0.247009i
\(222\) 1.45626 + 2.52232i 0.0977377 + 0.169287i
\(223\) 20.9798 + 12.1127i 1.40491 + 0.811126i 0.994891 0.100950i \(-0.0321883\pi\)
0.410020 + 0.912076i \(0.365522\pi\)
\(224\) −1.08220 2.62480i −0.0723075 0.175377i
\(225\) 4.64872 + 8.05182i 0.309915 + 0.536788i
\(226\) 7.61017 4.39373i 0.506221 0.292267i
\(227\) 15.3753i 1.02049i 0.860028 + 0.510247i \(0.170446\pi\)
−0.860028 + 0.510247i \(0.829554\pi\)
\(228\) 0.368368i 0.0243958i
\(229\) −14.1608 + 8.17573i −0.935771 + 0.540268i −0.888632 0.458621i \(-0.848344\pi\)
−0.0471389 + 0.998888i \(0.515010\pi\)
\(230\) −3.95302 6.84683i −0.260654 0.451467i
\(231\) −6.87477 0.916523i −0.452327 0.0603028i
\(232\) −10.3215 5.95913i −0.677641 0.391236i
\(233\) −14.5554 25.2106i −0.953554 1.65160i −0.737643 0.675191i \(-0.764061\pi\)
−0.215911 0.976413i \(-0.569272\pi\)
\(234\) −4.62500 3.55682i −0.302346 0.232517i
\(235\) 1.59518 2.76294i 0.104058 0.180234i
\(236\) 2.12920i 0.138599i
\(237\) 2.92684 5.06943i 0.190119 0.329295i
\(238\) 10.4993 + 25.4653i 0.680570 + 1.65067i
\(239\) 8.65409i 0.559787i 0.960031 + 0.279893i \(0.0902991\pi\)
−0.960031 + 0.279893i \(0.909701\pi\)
\(240\) 22.6963 + 13.1037i 1.46504 + 0.845840i
\(241\) 18.1982i 1.17225i −0.810222 0.586124i \(-0.800653\pi\)
0.810222 0.586124i \(-0.199347\pi\)
\(242\) −10.9102 6.29902i −0.701336 0.404916i
\(243\) 5.91508 10.2452i 0.379453 0.657231i
\(244\) 0.725669 1.25690i 0.0464562 0.0804645i
\(245\) 6.54274 24.1022i 0.418000 1.53983i
\(246\) −11.5797 −0.738297
\(247\) 2.69770 + 2.07465i 0.171651 + 0.132007i
\(248\) −7.59057 + 13.1473i −0.482002 + 0.834851i
\(249\) −4.12759 + 2.38307i −0.261576 + 0.151021i
\(250\) 13.0979 0.828383
\(251\) 7.93598 + 13.7455i 0.500915 + 0.867610i 0.999999 + 0.00105678i \(0.000336383\pi\)
−0.499085 + 0.866553i \(0.666330\pi\)
\(252\) 0.0800639 0.600554i 0.00504355 0.0378313i
\(253\) 1.82413 1.05316i 0.114682 0.0662117i
\(254\) 17.1446 + 9.89841i 1.07574 + 0.621082i
\(255\) 49.0230 + 28.3034i 3.06994 + 1.77243i
\(256\) −4.52609 −0.282880
\(257\) 24.3267 1.51746 0.758730 0.651406i \(-0.225820\pi\)
0.758730 + 0.651406i \(0.225820\pi\)
\(258\) 9.14900 + 5.28218i 0.569592 + 0.328854i
\(259\) −1.06504 2.58319i −0.0661786 0.160511i
\(260\) 2.26344 0.934688i 0.140372 0.0579669i
\(261\) −2.43282 4.21376i −0.150588 0.260825i
\(262\) 13.0325 7.52432i 0.805150 0.464854i
\(263\) −7.71727 13.3667i −0.475867 0.824226i 0.523751 0.851872i \(-0.324532\pi\)
−0.999618 + 0.0276456i \(0.991199\pi\)
\(264\) −3.86204 + 6.68925i −0.237692 + 0.411695i
\(265\) 0.285395i 0.0175317i
\(266\) 0.443935 3.32993i 0.0272194 0.204171i
\(267\) 13.4512 7.76606i 0.823201 0.475275i
\(268\) 1.04210 0.601656i 0.0636563 0.0367520i
\(269\) −13.0407 −0.795106 −0.397553 0.917579i \(-0.630141\pi\)
−0.397553 + 0.917579i \(0.630141\pi\)
\(270\) −8.84108 15.3132i −0.538051 0.931931i
\(271\) 26.9706i 1.63835i 0.573544 + 0.819174i \(0.305568\pi\)
−0.573544 + 0.819174i \(0.694432\pi\)
\(272\) 27.7298 1.68136
\(273\) 13.7911 + 13.8662i 0.834677 + 0.839220i
\(274\) −23.7174 −1.43282
\(275\) 9.88289i 0.595961i
\(276\) 0.321442 + 0.556753i 0.0193485 + 0.0335126i
\(277\) −12.7015 −0.763156 −0.381578 0.924337i \(-0.624619\pi\)
−0.381578 + 0.924337i \(0.624619\pi\)
\(278\) −6.82352 + 3.93956i −0.409248 + 0.236279i
\(279\) −5.36737 + 3.09885i −0.321336 + 0.185523i
\(280\) −22.0384 16.9680i −1.31704 1.01403i
\(281\) 26.7216i 1.59408i 0.603930 + 0.797038i \(0.293601\pi\)
−0.603930 + 0.797038i \(0.706399\pi\)
\(282\) 1.23306 2.13572i 0.0734276 0.127180i
\(283\) 7.37113 + 12.7672i 0.438168 + 0.758929i 0.997548 0.0699819i \(-0.0222941\pi\)
−0.559380 + 0.828911i \(0.688961\pi\)
\(284\) 1.88338 1.08737i 0.111758 0.0645236i
\(285\) −3.45191 5.97888i −0.204473 0.354158i
\(286\) −2.36719 5.73238i −0.139975 0.338963i
\(287\) 11.0116 + 1.46803i 0.649995 + 0.0866553i
\(288\) −1.11791 0.645425i −0.0658734 0.0380320i
\(289\) 42.8952 2.52324
\(290\) −19.4131 −1.13997
\(291\) 0.849651 + 0.490546i 0.0498074 + 0.0287563i
\(292\) 0.125379 + 0.0723874i 0.00733723 + 0.00423615i
\(293\) −10.0312 + 5.79153i −0.586030 + 0.338345i −0.763526 0.645777i \(-0.776534\pi\)
0.177496 + 0.984121i \(0.443200\pi\)
\(294\) 5.05747 18.6307i 0.294957 1.08657i
\(295\) −19.9523 34.5584i −1.16167 2.01207i
\(296\) −3.11179 −0.180869
\(297\) 4.07974 2.35544i 0.236730 0.136676i
\(298\) −7.04829 + 12.2080i −0.408297 + 0.707190i
\(299\) −5.88768 0.781589i −0.340493 0.0452005i
\(300\) −3.01641 −0.174153
\(301\) −8.03048 6.18290i −0.462869 0.356376i
\(302\) 3.17074 5.49188i 0.182455 0.316022i
\(303\) 2.95047 5.11036i 0.169500 0.293582i
\(304\) −2.92885 1.69097i −0.167981 0.0969838i
\(305\) 27.2004i 1.55749i
\(306\) 10.8458 + 6.26180i 0.620011 + 0.357963i
\(307\) 29.3335i 1.67415i 0.547086 + 0.837076i \(0.315737\pi\)
−0.547086 + 0.837076i \(0.684263\pi\)
\(308\) 0.392889 0.510293i 0.0223869 0.0290766i
\(309\) −11.6191 + 20.1248i −0.660986 + 1.14486i
\(310\) 24.7278i 1.40444i
\(311\) −0.0753271 + 0.130470i −0.00427141 + 0.00739830i −0.868153 0.496296i \(-0.834693\pi\)
0.863882 + 0.503695i \(0.168026\pi\)
\(312\) 20.1312 8.31317i 1.13970 0.470641i
\(313\) 5.26057 + 9.11157i 0.297345 + 0.515016i 0.975528 0.219877i \(-0.0705656\pi\)
−0.678183 + 0.734893i \(0.737232\pi\)
\(314\) −10.4874 6.05493i −0.591841 0.341699i
\(315\) −4.32818 10.4977i −0.243866 0.591478i
\(316\) 0.271777 + 0.470732i 0.0152887 + 0.0264808i
\(317\) 1.30489 0.753380i 0.0732901 0.0423140i −0.462907 0.886407i \(-0.653194\pi\)
0.536197 + 0.844093i \(0.319860\pi\)
\(318\) 0.220607i 0.0123710i
\(319\) 5.17202i 0.289578i
\(320\) −26.6018 + 15.3586i −1.48709 + 0.858571i
\(321\) 6.73671 + 11.6683i 0.376006 + 0.651262i
\(322\) 2.23476 + 5.42025i 0.124538 + 0.302059i
\(323\) −6.32619 3.65243i −0.351999 0.203227i
\(324\) 1.06241 + 1.84015i 0.0590228 + 0.102231i
\(325\) 16.9884 22.0904i 0.942349 1.22535i
\(326\) −8.09314 + 14.0177i −0.448237 + 0.776370i
\(327\) 11.9708i 0.661989i
\(328\) 6.18600 10.7145i 0.341565 0.591607i
\(329\) −1.44332 + 1.87462i −0.0795729 + 0.103351i
\(330\) 12.5814i 0.692582i
\(331\) −21.8679 12.6254i −1.20197 0.693957i −0.240976 0.970531i \(-0.577467\pi\)
−0.960993 + 0.276574i \(0.910801\pi\)
\(332\) 0.442569i 0.0242891i
\(333\) −1.10019 0.635193i −0.0602899 0.0348084i
\(334\) 13.0635 22.6266i 0.714802 1.23807i
\(335\) 11.2760 19.5306i 0.616075 1.06707i
\(336\) −15.3991 11.8562i −0.840090 0.646810i
\(337\) 32.1811 1.75302 0.876509 0.481386i \(-0.159866\pi\)
0.876509 + 0.481386i \(0.159866\pi\)
\(338\) −4.56264 + 16.8823i −0.248175 + 0.918273i
\(339\) −6.69598 + 11.5978i −0.363676 + 0.629905i
\(340\) −4.55213 + 2.62817i −0.246874 + 0.142533i
\(341\) −6.58797 −0.356759
\(342\) −0.763694 1.32276i −0.0412959 0.0715265i
\(343\) −7.17127 + 17.0755i −0.387212 + 0.921991i
\(344\) −9.77495 + 5.64357i −0.527030 + 0.304281i
\(345\) 10.4345 + 6.02434i 0.561773 + 0.324340i
\(346\) 16.7521 + 9.67185i 0.900600 + 0.519962i
\(347\) 24.7638 1.32939 0.664695 0.747115i \(-0.268562\pi\)
0.664695 + 0.747115i \(0.268562\pi\)
\(348\) 1.57858 0.0846209
\(349\) −10.0075 5.77782i −0.535688 0.309280i 0.207642 0.978205i \(-0.433421\pi\)
−0.743330 + 0.668925i \(0.766755\pi\)
\(350\) −27.2674 3.63520i −1.45750 0.194310i
\(351\) −13.1680 1.74805i −0.702857 0.0933042i
\(352\) −0.686067 1.18830i −0.0365675 0.0633368i
\(353\) −17.3971 + 10.0442i −0.925953 + 0.534599i −0.885529 0.464583i \(-0.846204\pi\)
−0.0404237 + 0.999183i \(0.512871\pi\)
\(354\) −15.4229 26.7133i −0.819719 1.41980i
\(355\) 20.3791 35.2977i 1.08161 1.87340i
\(356\) 1.44227i 0.0764399i
\(357\) −33.2615 25.6090i −1.76038 1.35537i
\(358\) −6.32136 + 3.64964i −0.334094 + 0.192890i
\(359\) 13.0346 7.52551i 0.687938 0.397181i −0.114901 0.993377i \(-0.536655\pi\)
0.802839 + 0.596196i \(0.203322\pi\)
\(360\) −12.6458 −0.666495
\(361\) −9.05455 15.6829i −0.476555 0.825418i
\(362\) 20.8378i 1.09521i
\(363\) 19.1992 1.00770
\(364\) −1.75537 + 0.465248i −0.0920064 + 0.0243856i
\(365\) 2.71331 0.142021
\(366\) 21.0257i 1.09903i
\(367\) −4.50178 7.79731i −0.234991 0.407016i 0.724279 0.689507i \(-0.242173\pi\)
−0.959270 + 0.282491i \(0.908839\pi\)
\(368\) 5.90223 0.307675
\(369\) 4.37418 2.52543i 0.227711 0.131469i
\(370\) −4.38956 + 2.53431i −0.228202 + 0.131753i
\(371\) −0.0279677 + 0.209784i −0.00145201 + 0.0108914i
\(372\) 2.01075i 0.104253i
\(373\) 8.06953 13.9768i 0.417824 0.723693i −0.577896 0.816110i \(-0.696126\pi\)
0.995720 + 0.0924174i \(0.0294594\pi\)
\(374\) 6.65611 + 11.5287i 0.344179 + 0.596136i
\(375\) −17.2867 + 9.98048i −0.892681 + 0.515390i
\(376\) 1.31742 + 2.28184i 0.0679409 + 0.117677i
\(377\) −8.89057 + 11.5606i −0.457888 + 0.595400i
\(378\) 4.99813 + 12.1226i 0.257076 + 0.623519i
\(379\) −13.5668 7.83277i −0.696878 0.402342i 0.109306 0.994008i \(-0.465137\pi\)
−0.806183 + 0.591666i \(0.798471\pi\)
\(380\) 0.641068 0.0328861
\(381\) −30.1700 −1.54566
\(382\) −5.52935 3.19237i −0.282906 0.163336i
\(383\) 21.3327 + 12.3164i 1.09005 + 0.629339i 0.933589 0.358345i \(-0.116659\pi\)
0.156459 + 0.987685i \(0.449992\pi\)
\(384\) −16.7525 + 9.67207i −0.854898 + 0.493576i
\(385\) 1.59502 11.9641i 0.0812896 0.609747i
\(386\) 14.1512 + 24.5106i 0.720277 + 1.24756i
\(387\) −4.60798 −0.234237
\(388\) −0.0788960 + 0.0455506i −0.00400534 + 0.00231248i
\(389\) −9.42834 + 16.3304i −0.478036 + 0.827982i −0.999683 0.0251791i \(-0.991984\pi\)
0.521647 + 0.853161i \(0.325318\pi\)
\(390\) 21.6270 28.1221i 1.09513 1.42402i
\(391\) 12.7486 0.644724
\(392\) 14.5368 + 14.6323i 0.734221 + 0.739040i
\(393\) −11.4669 + 19.8613i −0.578431 + 1.00187i
\(394\) −3.90929 + 6.77108i −0.196947 + 0.341122i
\(395\) 8.82229 + 5.09355i 0.443897 + 0.256284i
\(396\) 0.292811i 0.0147143i
\(397\) −12.5600 7.25149i −0.630366 0.363942i 0.150528 0.988606i \(-0.451903\pi\)
−0.780894 + 0.624664i \(0.785236\pi\)
\(398\) 14.2839i 0.715985i
\(399\) 1.95147 + 4.73314i 0.0976956 + 0.236954i
\(400\) −13.8467 + 23.9831i −0.692333 + 1.19916i
\(401\) 20.9889i 1.04814i 0.851676 + 0.524069i \(0.175587\pi\)
−0.851676 + 0.524069i \(0.824413\pi\)
\(402\) 8.71624 15.0970i 0.434727 0.752968i
\(403\) 14.7255 + 11.3245i 0.733531 + 0.564116i
\(404\) 0.273971 + 0.474532i 0.0136306 + 0.0236089i
\(405\) 34.4874 + 19.9113i 1.71369 + 0.989401i
\(406\) 14.2699 + 1.90241i 0.708201 + 0.0944152i
\(407\) −0.675191 1.16947i −0.0334680 0.0579683i
\(408\) −40.4869 + 23.3751i −2.00440 + 1.15724i
\(409\) 21.4276i 1.05953i 0.848146 + 0.529763i \(0.177719\pi\)
−0.848146 + 0.529763i \(0.822281\pi\)
\(410\) 20.1521i 0.995242i
\(411\) 31.3025 18.0725i 1.54404 0.891451i
\(412\) −1.07891 1.86873i −0.0531542 0.0920657i
\(413\) 11.2796 + 27.3580i 0.555035 + 1.34620i
\(414\) 2.30850 + 1.33281i 0.113457 + 0.0655043i
\(415\) −4.14723 7.18321i −0.203580 0.352610i
\(416\) −0.509155 + 3.83545i −0.0249634 + 0.188048i
\(417\) 6.00383 10.3989i 0.294009 0.509238i
\(418\) 1.62357i 0.0794113i
\(419\) −3.98203 + 6.89708i −0.194535 + 0.336944i −0.946748 0.321976i \(-0.895653\pi\)
0.752213 + 0.658920i \(0.228986\pi\)
\(420\) 3.65163 + 0.486824i 0.178181 + 0.0237546i
\(421\) 2.81786i 0.137334i −0.997640 0.0686670i \(-0.978125\pi\)
0.997640 0.0686670i \(-0.0218746\pi\)
\(422\) 5.43530 + 3.13807i 0.264586 + 0.152759i
\(423\) 1.07568i 0.0523011i
\(424\) 0.204122 + 0.117850i 0.00991306 + 0.00572331i
\(425\) −29.9082 + 51.8026i −1.45076 + 2.51279i
\(426\) 15.7528 27.2847i 0.763227 1.32195i
\(427\) −2.66555 + 19.9941i −0.128995 + 0.967582i
\(428\) −1.25110 −0.0604742
\(429\) 7.49227 + 5.76187i 0.361730 + 0.278186i
\(430\) −9.19253 + 15.9219i −0.443303 + 0.767823i
\(431\) 4.96775 2.86813i 0.239288 0.138153i −0.375561 0.926797i \(-0.622550\pi\)
0.614849 + 0.788645i \(0.289217\pi\)
\(432\) 13.2006 0.635112
\(433\) −12.2628 21.2398i −0.589314 1.02072i −0.994322 0.106409i \(-0.966065\pi\)
0.405009 0.914313i \(-0.367268\pi\)
\(434\) 2.42324 18.1765i 0.116319 0.872502i
\(435\) 25.6215 14.7926i 1.22846 0.709251i
\(436\) −0.962653 0.555788i −0.0461027 0.0266174i
\(437\) −1.34652 0.777413i −0.0644128 0.0371887i
\(438\) 2.09736 0.100216
\(439\) −36.6423 −1.74884 −0.874420 0.485169i \(-0.838758\pi\)
−0.874420 + 0.485169i \(0.838758\pi\)
\(440\) −11.6412 6.72108i −0.554975 0.320415i
\(441\) 2.15276 + 8.14063i 0.102512 + 0.387649i
\(442\) 4.93973 37.2108i 0.234959 1.76994i
\(443\) −13.5467 23.4635i −0.643622 1.11479i −0.984618 0.174721i \(-0.944098\pi\)
0.340996 0.940065i \(-0.389236\pi\)
\(444\) 0.356939 0.206079i 0.0169396 0.00978008i
\(445\) 13.5152 + 23.4090i 0.640682 + 1.10969i
\(446\) −16.2943 + 28.2226i −0.771558 + 1.33638i
\(447\) 21.4830i 1.01611i
\(448\) 21.0592 8.68267i 0.994953 0.410218i
\(449\) 23.7571 13.7162i 1.12117 0.647307i 0.179470 0.983764i \(-0.442562\pi\)
0.941699 + 0.336456i \(0.109228\pi\)
\(450\) −10.8315 + 6.25358i −0.510602 + 0.294796i
\(451\) 5.36892 0.252812
\(452\) −0.621768 1.07693i −0.0292455 0.0506547i
\(453\) 9.66431i 0.454069i
\(454\) −20.6832 −0.970712
\(455\) −24.1312 + 24.0006i −1.13129 + 1.12516i
\(456\) 5.70169 0.267006
\(457\) 39.6639i 1.85540i −0.373327 0.927700i \(-0.621783\pi\)
0.373327 0.927700i \(-0.378217\pi\)
\(458\) −10.9982 19.0495i −0.513913 0.890123i
\(459\) 28.5127 1.33086
\(460\) −0.968913 + 0.559402i −0.0451758 + 0.0260823i
\(461\) −4.23988 + 2.44790i −0.197471 + 0.114010i −0.595475 0.803374i \(-0.703036\pi\)
0.398004 + 0.917384i \(0.369703\pi\)
\(462\) 1.23293 9.24813i 0.0573611 0.430262i
\(463\) 4.71193i 0.218982i 0.993988 + 0.109491i \(0.0349221\pi\)
−0.993988 + 0.109491i \(0.965078\pi\)
\(464\) 7.24638 12.5511i 0.336405 0.582670i
\(465\) −18.8424 32.6360i −0.873794 1.51346i
\(466\) 33.9140 19.5803i 1.57104 0.907038i
\(467\) 16.0081 + 27.7268i 0.740765 + 1.28304i 0.952147 + 0.305639i \(0.0988701\pi\)
−0.211383 + 0.977403i \(0.567797\pi\)
\(468\) −0.503335 + 0.654496i −0.0232667 + 0.0302541i
\(469\) −10.2025 + 13.2513i −0.471110 + 0.611887i
\(470\) 3.71678 + 2.14588i 0.171442 + 0.0989822i
\(471\) 18.4552 0.850372
\(472\) 32.9563 1.51693
\(473\) −4.24191 2.44907i −0.195043 0.112608i
\(474\) 6.81953 + 3.93726i 0.313232 + 0.180844i
\(475\) 6.31788 3.64763i 0.289884 0.167365i
\(476\) 3.60366 1.48578i 0.165174 0.0681008i
\(477\) 0.0481123 + 0.0833330i 0.00220291 + 0.00381556i
\(478\) −11.6417 −0.532480
\(479\) 15.6097 9.01224i 0.713224 0.411780i −0.0990298 0.995084i \(-0.531574\pi\)
0.812254 + 0.583305i \(0.198241\pi\)
\(480\) 3.92447 6.79738i 0.179127 0.310257i
\(481\) −0.501083 + 3.77464i −0.0228474 + 0.172109i
\(482\) 24.4807 1.11506
\(483\) −7.07965 5.45082i −0.322135 0.248021i
\(484\) −0.891390 + 1.54393i −0.0405177 + 0.0701788i
\(485\) −0.853693 + 1.47864i −0.0387642 + 0.0671416i
\(486\) 13.7821 + 7.95712i 0.625170 + 0.360942i
\(487\) 17.6004i 0.797550i 0.917049 + 0.398775i \(0.130565\pi\)
−0.917049 + 0.398775i \(0.869435\pi\)
\(488\) 19.4545 + 11.2321i 0.880666 + 0.508453i
\(489\) 24.6676i 1.11551i
\(490\) 32.4229 + 8.80146i 1.46472 + 0.397609i
\(491\) 1.93180 3.34598i 0.0871810 0.151002i −0.819138 0.573597i \(-0.805547\pi\)
0.906318 + 0.422595i \(0.138881\pi\)
\(492\) 1.63868i 0.0738773i
\(493\) 15.6519 27.1099i 0.704926 1.22097i
\(494\) −2.79087 + 3.62902i −0.125567 + 0.163277i
\(495\) −2.74388 4.75254i −0.123328 0.213611i
\(496\) −15.9872 9.23023i −0.717848 0.414450i
\(497\) −18.4390 + 23.9490i −0.827103 + 1.07426i
\(498\) −3.20576 5.55255i −0.143654 0.248816i
\(499\) −10.9528 + 6.32363i −0.490317 + 0.283084i −0.724706 0.689058i \(-0.758024\pi\)
0.234389 + 0.972143i \(0.424691\pi\)
\(500\) 1.85351i 0.0828917i
\(501\) 39.8171i 1.77890i
\(502\) −18.4908 + 10.6757i −0.825287 + 0.476480i
\(503\) −11.0180 19.0837i −0.491268 0.850902i 0.508681 0.860955i \(-0.330133\pi\)
−0.999949 + 0.0100533i \(0.996800\pi\)
\(504\) 9.29552 + 1.23925i 0.414056 + 0.0552006i
\(505\) 8.89351 + 5.13467i 0.395756 + 0.228490i
\(506\) 1.41674 + 2.45387i 0.0629818 + 0.109088i
\(507\) −6.84233 25.7580i −0.303879 1.14395i
\(508\) 1.40075 2.42617i 0.0621482 0.107644i
\(509\) 15.6702i 0.694568i −0.937760 0.347284i \(-0.887104\pi\)
0.937760 0.347284i \(-0.112896\pi\)
\(510\) −38.0745 + 65.9470i −1.68597 + 2.92018i
\(511\) −1.99446 0.265895i −0.0882299 0.0117625i
\(512\) 24.9600i 1.10309i
\(513\) −3.01154 1.73871i −0.132963 0.0767661i
\(514\) 32.7249i 1.44344i
\(515\) −35.0230 20.2206i −1.54330 0.891025i
\(516\) 0.747495 1.29470i 0.0329066 0.0569959i
\(517\) −0.571705 + 0.990222i −0.0251436 + 0.0435499i
\(518\) 3.47497 1.43272i 0.152681 0.0629503i
\(519\) −29.4795 −1.29401
\(520\) 14.4673 + 35.0341i 0.634435 + 1.53635i
\(521\) 12.6207 21.8598i 0.552925 0.957694i −0.445137 0.895463i \(-0.646845\pi\)
0.998062 0.0622317i \(-0.0198218\pi\)
\(522\) 5.66846 3.27269i 0.248102 0.143242i
\(523\) −13.2477 −0.579279 −0.289640 0.957136i \(-0.593535\pi\)
−0.289640 + 0.957136i \(0.593535\pi\)
\(524\) −1.06479 1.84426i −0.0465154 0.0805670i
\(525\) 38.7578 15.9798i 1.69153 0.697414i
\(526\) 17.9812 10.3815i 0.784019 0.452654i
\(527\) −34.5318 19.9369i −1.50423 0.868466i
\(528\) −8.13422 4.69629i −0.353996 0.204380i
\(529\) −20.2865 −0.882021
\(530\) 0.383920 0.0166764
\(531\) 11.6518 + 6.72720i 0.505647 + 0.291935i
\(532\) −0.471226 0.0628224i −0.0204303 0.00272370i
\(533\) −12.0007 9.22903i −0.519807 0.399754i
\(534\) 10.4471 + 18.0949i 0.452091 + 0.783044i
\(535\) −20.3063 + 11.7238i −0.877916 + 0.506865i
\(536\) 9.31258 + 16.1299i 0.402242 + 0.696704i
\(537\) 5.56200 9.63366i 0.240018 0.415723i
\(538\) 17.5427i 0.756320i
\(539\) −2.34488 + 8.63809i −0.101001 + 0.372069i
\(540\) −2.16701 + 1.25112i −0.0932532 + 0.0538398i
\(541\) −12.4737 + 7.20170i −0.536287 + 0.309625i −0.743573 0.668655i \(-0.766870\pi\)
0.207286 + 0.978280i \(0.433537\pi\)
\(542\) −36.2816 −1.55843
\(543\) 15.8782 + 27.5019i 0.681401 + 1.18022i
\(544\) 8.30488i 0.356069i
\(545\) −20.8328 −0.892377
\(546\) −18.6532 + 18.5522i −0.798281 + 0.793960i
\(547\) 2.00679 0.0858042 0.0429021 0.999079i \(-0.486340\pi\)
0.0429021 + 0.999079i \(0.486340\pi\)
\(548\) 3.35631i 0.143375i
\(549\) 4.58550 + 7.94232i 0.195704 + 0.338970i
\(550\) −13.2947 −0.566889
\(551\) −3.30634 + 1.90892i −0.140855 + 0.0813226i
\(552\) −8.61757 + 4.97535i −0.366788 + 0.211765i
\(553\) −5.98581 4.60864i −0.254542 0.195979i
\(554\) 17.0863i 0.725928i
\(555\) 3.86226 6.68962i 0.163944 0.283959i
\(556\) 0.557497 + 0.965614i 0.0236432 + 0.0409512i
\(557\) −7.42977 + 4.28958i −0.314810 + 0.181755i −0.649077 0.760723i \(-0.724845\pi\)
0.334267 + 0.942478i \(0.391511\pi\)
\(558\) −4.16865 7.22032i −0.176473 0.305661i
\(559\) 5.27170 + 12.7659i 0.222969 + 0.539942i
\(560\) 20.6333 26.7989i 0.871915 1.13246i
\(561\) −17.5696 10.1438i −0.741788 0.428272i
\(562\) −35.9466 −1.51631
\(563\) 12.7744 0.538375 0.269188 0.963088i \(-0.413245\pi\)
0.269188 + 0.963088i \(0.413245\pi\)
\(564\) −0.302231 0.174493i −0.0127262 0.00734750i
\(565\) −20.1835 11.6530i −0.849126 0.490243i
\(566\) −17.1747 + 9.91583i −0.721908 + 0.416794i
\(567\) −23.3992 18.0158i −0.982676 0.756591i
\(568\) 16.8306 + 29.1515i 0.706196 + 1.22317i
\(569\) 5.79116 0.242778 0.121389 0.992605i \(-0.461265\pi\)
0.121389 + 0.992605i \(0.461265\pi\)
\(570\) 8.04295 4.64360i 0.336882 0.194499i
\(571\) −22.0666 + 38.2204i −0.923458 + 1.59948i −0.129435 + 0.991588i \(0.541316\pi\)
−0.794023 + 0.607888i \(0.792017\pi\)
\(572\) −0.811204 + 0.334987i −0.0339182 + 0.0140065i
\(573\) 9.73025 0.406487
\(574\) −1.97484 + 14.8131i −0.0824281 + 0.618287i
\(575\) −6.36592 + 11.0261i −0.265477 + 0.459820i
\(576\) 5.17835 8.96917i 0.215765 0.373715i
\(577\) 10.3343 + 5.96649i 0.430221 + 0.248388i 0.699441 0.714691i \(-0.253432\pi\)
−0.269220 + 0.963079i \(0.586766\pi\)
\(578\) 57.7037i 2.40016i
\(579\) −37.3538 21.5662i −1.55237 0.896261i
\(580\) 2.74719i 0.114071i
\(581\) 2.34455 + 5.68654i 0.0972685 + 0.235918i
\(582\) −0.659895 + 1.14297i −0.0273535 + 0.0473777i
\(583\) 0.102284i 0.00423617i
\(584\) −1.12043 + 1.94064i −0.0463637 + 0.0803043i
\(585\) −2.03633 + 15.3396i −0.0841919 + 0.634215i
\(586\) −7.79091 13.4943i −0.321840 0.557443i
\(587\) 17.6250 + 10.1758i 0.727462 + 0.420000i 0.817493 0.575939i \(-0.195363\pi\)
−0.0900312 + 0.995939i \(0.528697\pi\)
\(588\) −2.63648 0.715695i −0.108727 0.0295148i
\(589\) 2.43152 + 4.21152i 0.100189 + 0.173533i
\(590\) 46.4889 26.8404i 1.91392 1.10500i
\(591\) 11.9154i 0.490133i
\(592\) 3.78397i 0.155520i
\(593\) 15.7443 9.09000i 0.646543 0.373282i −0.140588 0.990068i \(-0.544899\pi\)
0.787130 + 0.616787i \(0.211566\pi\)
\(594\) 3.16859 + 5.48817i 0.130009 + 0.225182i
\(595\) 44.5670 57.8846i 1.82707 2.37304i
\(596\) 1.72759 + 0.997422i 0.0707646 + 0.0408560i
\(597\) 10.8842 + 18.8520i 0.445460 + 0.771560i
\(598\) 1.05141 7.92026i 0.0429955 0.323884i
\(599\) 19.1341 33.1412i 0.781797 1.35411i −0.149096 0.988823i \(-0.547636\pi\)
0.930894 0.365290i \(-0.119030\pi\)
\(600\) 46.6888i 1.90606i
\(601\) 13.4360 23.2718i 0.548064 0.949275i −0.450343 0.892856i \(-0.648698\pi\)
0.998407 0.0564195i \(-0.0179684\pi\)
\(602\) 8.31740 10.8028i 0.338992 0.440290i
\(603\) 7.60372i 0.309648i
\(604\) −0.777170 0.448699i −0.0316226 0.0182573i
\(605\) 33.4122i 1.35840i
\(606\) 6.87459 + 3.96904i 0.279261 + 0.161231i
\(607\) 4.70105 8.14245i 0.190810 0.330492i −0.754709 0.656059i \(-0.772222\pi\)
0.945519 + 0.325568i \(0.105555\pi\)
\(608\) −0.506435 + 0.877171i −0.0205386 + 0.0355740i
\(609\) −20.2831 + 8.36270i −0.821913 + 0.338874i
\(610\) 36.5908 1.48152
\(611\) 2.98005 1.23061i 0.120560 0.0497853i
\(612\) 0.886124 1.53481i 0.0358194 0.0620411i
\(613\) 11.5089 6.64469i 0.464842 0.268376i −0.249236 0.968443i \(-0.580180\pi\)
0.714078 + 0.700066i \(0.246846\pi\)
\(614\) −39.4602 −1.59248
\(615\) 15.3557 + 26.5969i 0.619204 + 1.07249i
\(616\) 7.89843 + 6.08123i 0.318237 + 0.245020i
\(617\) −9.72211 + 5.61306i −0.391397 + 0.225973i −0.682765 0.730638i \(-0.739223\pi\)
0.291368 + 0.956611i \(0.405890\pi\)
\(618\) −27.0724 15.6303i −1.08901 0.628742i
\(619\) −8.04109 4.64253i −0.323199 0.186599i 0.329619 0.944114i \(-0.393080\pi\)
−0.652817 + 0.757515i \(0.726413\pi\)
\(620\) 3.49929 0.140535
\(621\) 6.06888 0.243536
\(622\) −0.175512 0.101332i −0.00703740 0.00406304i
\(623\) −7.64055 18.5316i −0.306112 0.742453i
\(624\) 10.1089 + 24.4797i 0.404681 + 0.979974i
\(625\) 1.95363 + 3.38379i 0.0781452 + 0.135351i
\(626\) −12.2571 + 7.07665i −0.489893 + 0.282840i
\(627\) 1.23715 + 2.14280i 0.0494068 + 0.0855752i
\(628\) −0.856848 + 1.48410i −0.0341920 + 0.0592222i
\(629\) 8.17322i 0.325888i
\(630\) 14.1218 5.82239i 0.562625 0.231969i
\(631\) 9.00894 5.20132i 0.358640 0.207061i −0.309844 0.950787i \(-0.600277\pi\)
0.668484 + 0.743726i \(0.266943\pi\)
\(632\) −7.28611 + 4.20664i −0.289826 + 0.167331i
\(633\) −9.56474 −0.380164
\(634\) 1.01347 + 1.75538i 0.0402499 + 0.0697149i
\(635\) 52.5046i 2.08358i
\(636\) −0.0312187 −0.00123790
\(637\) 20.0900 15.2772i 0.795994 0.605305i
\(638\) 6.95754 0.275452
\(639\) 13.7422i 0.543632i
\(640\) −16.8322 29.1542i −0.665351 1.15242i
\(641\) −14.8591 −0.586899 −0.293449 0.955975i \(-0.594803\pi\)
−0.293449 + 0.955975i \(0.594803\pi\)
\(642\) −15.6965 + 9.06239i −0.619492 + 0.357664i
\(643\) 1.98945 1.14861i 0.0784563 0.0452968i −0.460259 0.887785i \(-0.652243\pi\)
0.538715 + 0.842488i \(0.318910\pi\)
\(644\) 0.767033 0.316247i 0.0302254 0.0124619i
\(645\) 28.0185i 1.10323i
\(646\) 4.91334 8.51016i 0.193313 0.334828i
\(647\) 3.99932 + 6.92703i 0.157230 + 0.272330i 0.933869 0.357616i \(-0.116410\pi\)
−0.776639 + 0.629946i \(0.783077\pi\)
\(648\) −28.4823 + 16.4443i −1.11889 + 0.645991i
\(649\) 7.15081 + 12.3856i 0.280694 + 0.486176i
\(650\) 29.7166 + 22.8533i 1.16558 + 0.896380i
\(651\) 10.6522 + 25.8360i 0.417491 + 1.01259i
\(652\) 1.98368 + 1.14528i 0.0776871 + 0.0448526i
\(653\) 3.98444 0.155923 0.0779615 0.996956i \(-0.475159\pi\)
0.0779615 + 0.996956i \(0.475159\pi\)
\(654\) −16.1035 −0.629696
\(655\) −34.5645 19.9558i −1.35055 0.779738i
\(656\) 13.0289 + 7.52225i 0.508694 + 0.293695i
\(657\) −0.792267 + 0.457415i −0.0309093 + 0.0178455i
\(658\) −2.52178 1.94159i −0.0983094 0.0756912i
\(659\) 13.7501 + 23.8159i 0.535629 + 0.927737i 0.999133 + 0.0416417i \(0.0132588\pi\)
−0.463504 + 0.886095i \(0.653408\pi\)
\(660\) 1.78042 0.0693028
\(661\) 6.05023 3.49310i 0.235327 0.135866i −0.377700 0.925928i \(-0.623285\pi\)
0.613027 + 0.790062i \(0.289952\pi\)
\(662\) 16.9841 29.4173i 0.660105 1.14333i
\(663\) 21.8349 + 52.8752i 0.847996 + 2.05350i
\(664\) 6.85019 0.265839
\(665\) −8.23704 + 3.39612i −0.319419 + 0.131696i
\(666\) 0.854479 1.48000i 0.0331104 0.0573488i
\(667\) 3.33148 5.77029i 0.128995 0.223427i
\(668\) −3.20195 1.84865i −0.123887 0.0715263i
\(669\) 49.6646i 1.92014i
\(670\) 26.2731 + 15.1688i 1.01502 + 0.586022i
\(671\) 9.74849i 0.376336i
\(672\) −3.55086 + 4.61193i −0.136977 + 0.177909i
\(673\) 2.72783 4.72474i 0.105150 0.182125i −0.808649 0.588291i \(-0.799801\pi\)
0.913800 + 0.406166i \(0.133134\pi\)
\(674\) 43.2909i 1.66750i
\(675\) −14.2376 + 24.6603i −0.548006 + 0.949174i
\(676\) 2.38905 + 0.645671i 0.0918866 + 0.0248335i
\(677\) −16.8961 29.2649i −0.649371 1.12474i −0.983273 0.182135i \(-0.941699\pi\)
0.333903 0.942607i \(-0.391634\pi\)
\(678\) −15.6016 9.00761i −0.599177 0.345935i
\(679\) 0.772421 1.00324i 0.0296428 0.0385007i
\(680\) −40.6795 70.4590i −1.55999 2.70198i
\(681\) 27.2979 15.7605i 1.04606 0.603942i
\(682\) 8.86231i 0.339355i
\(683\) 12.2988i 0.470602i 0.971923 + 0.235301i \(0.0756076\pi\)
−0.971923 + 0.235301i \(0.924392\pi\)
\(684\) −0.187187 + 0.108072i −0.00715726 + 0.00413225i
\(685\) 31.4514 + 54.4754i 1.20170 + 2.08140i
\(686\) −22.9704 9.64698i −0.877015 0.368323i
\(687\) 29.0311 + 16.7611i 1.10760 + 0.639476i
\(688\) −6.86265 11.8865i −0.261636 0.453167i
\(689\) 0.175823 0.228627i 0.00669834 0.00870998i
\(690\) −8.10410 + 14.0367i −0.308518 + 0.534369i
\(691\) 11.0897i 0.421871i 0.977500 + 0.210935i \(0.0676509\pi\)
−0.977500 + 0.210935i \(0.932349\pi\)
\(692\) 1.36869 2.37064i 0.0520297 0.0901181i
\(693\) 1.55120 + 3.76232i 0.0589251 + 0.142919i
\(694\) 33.3129i 1.26454i
\(695\) 18.0972 + 10.4484i 0.686465 + 0.396331i
\(696\) 24.4337i 0.926156i
\(697\) 28.1419 + 16.2478i 1.06595 + 0.615428i
\(698\) 7.77247 13.4623i 0.294193 0.509556i
\(699\) −29.8400 + 51.6844i −1.12865 + 1.95488i
\(700\) −0.514427 + 3.85868i −0.0194435 + 0.145844i
\(701\) 10.6470 0.402133 0.201066 0.979578i \(-0.435559\pi\)
0.201066 + 0.979578i \(0.435559\pi\)
\(702\) 2.35153 17.7140i 0.0887526 0.668571i
\(703\) −0.498406 + 0.863265i −0.0187977 + 0.0325587i
\(704\) 9.53396 5.50443i 0.359325 0.207456i
\(705\) −6.54058 −0.246333
\(706\) −13.5117 23.4030i −0.508521 0.880784i
\(707\) −6.03413 4.64585i −0.226937 0.174725i
\(708\) −3.78027 + 2.18254i −0.142071 + 0.0820248i
\(709\) 35.2532 + 20.3535i 1.32396 + 0.764391i 0.984358 0.176178i \(-0.0563733\pi\)
0.339605 + 0.940568i \(0.389707\pi\)
\(710\) 47.4833 + 27.4145i 1.78202 + 1.02885i
\(711\) −3.43472 −0.128812
\(712\) −22.3237 −0.836618
\(713\) −7.35003 4.24354i −0.275261 0.158922i
\(714\) 34.4498 44.7442i 1.28925 1.67451i
\(715\) −10.0273 + 13.0387i −0.375001 + 0.487621i
\(716\) 0.516470 + 0.894552i 0.0193014 + 0.0334310i
\(717\) 15.3648 8.87089i 0.573810 0.331290i
\(718\) 10.1235 + 17.5344i 0.377806 + 0.654380i
\(719\) −4.88769 + 8.46572i −0.182280 + 0.315718i −0.942657 0.333764i \(-0.891681\pi\)
0.760377 + 0.649482i \(0.225014\pi\)
\(720\) 15.3775i 0.573086i
\(721\) 23.7627 + 18.2956i 0.884968 + 0.681363i
\(722\) 21.0971 12.1804i 0.785153 0.453308i
\(723\) −32.3098 + 18.6541i −1.20161 + 0.693752i
\(724\) −2.94881 −0.109592
\(725\) 15.6313 + 27.0743i 0.580533 + 1.00551i
\(726\) 25.8273i 0.958540i
\(727\) −12.2091 −0.452811 −0.226406 0.974033i \(-0.572697\pi\)
−0.226406 + 0.974033i \(0.572697\pi\)
\(728\) −7.20122 27.1701i −0.266895 1.00699i
\(729\) 9.23219 0.341933
\(730\) 3.65002i 0.135093i
\(731\) −14.8231 25.6743i −0.548251 0.949598i
\(732\) −2.97539 −0.109974
\(733\) −19.3256 + 11.1577i −0.713809 + 0.412118i −0.812470 0.583003i \(-0.801877\pi\)
0.0986608 + 0.995121i \(0.468544\pi\)
\(734\) 10.4891 6.05591i 0.387161 0.223528i
\(735\) −49.4987 + 13.0897i −1.82579 + 0.482822i
\(736\) 1.76768i 0.0651576i
\(737\) −4.04126 + 6.99968i −0.148862 + 0.257836i
\(738\) 3.39728 + 5.88426i 0.125056 + 0.216603i
\(739\) −36.6960 + 21.1865i −1.34989 + 0.779357i −0.988233 0.152956i \(-0.951121\pi\)
−0.361653 + 0.932313i \(0.617787\pi\)
\(740\) 0.358637 + 0.621178i 0.0131838 + 0.0228350i
\(741\) 0.918130 6.91624i 0.0337283 0.254074i
\(742\) −0.282206 0.0376229i −0.0103601 0.00138118i
\(743\) −26.8296 15.4901i −0.984282 0.568276i −0.0807220 0.996737i \(-0.525723\pi\)
−0.903560 + 0.428461i \(0.859056\pi\)
\(744\) 31.1229 1.14102
\(745\) 37.3866 1.36974
\(746\) 18.8020 + 10.8553i 0.688390 + 0.397442i
\(747\) 2.42192 + 1.39830i 0.0886133 + 0.0511609i
\(748\) 1.63146 0.941923i 0.0596520 0.0344401i
\(749\) 16.0753 6.62783i 0.587379 0.242176i
\(750\) −13.4260 23.2545i −0.490248 0.849135i
\(751\) −22.5660 −0.823444 −0.411722 0.911309i \(-0.635073\pi\)
−0.411722 + 0.911309i \(0.635073\pi\)
\(752\) −2.77475 + 1.60200i −0.101185 + 0.0584190i
\(753\) 16.2696 28.1798i 0.592897 1.02693i
\(754\) −15.5516 11.9598i −0.566356 0.435551i
\(755\) −16.8187 −0.612095
\(756\) 1.71550 0.707298i 0.0623921 0.0257242i
\(757\) −16.1404 + 27.9560i −0.586633 + 1.01608i 0.408037 + 0.912965i \(0.366213\pi\)
−0.994670 + 0.103112i \(0.967120\pi\)
\(758\) 10.5368 18.2504i 0.382716 0.662883i
\(759\) −3.73966 2.15909i −0.135741 0.0783701i
\(760\) 9.92260i 0.359931i
\(761\) −25.7657 14.8758i −0.934006 0.539249i −0.0459296 0.998945i \(-0.514625\pi\)
−0.888076 + 0.459696i \(0.847958\pi\)
\(762\) 40.5855i 1.47026i
\(763\) 15.3134 + 2.04154i 0.554383 + 0.0739086i
\(764\) −0.451761 + 0.782473i −0.0163441 + 0.0283089i
\(765\) 33.2148i 1.20088i
\(766\) −16.5684 + 28.6972i −0.598639 + 1.03687i
\(767\) 5.30687 39.9764i 0.191620 1.44347i
\(768\) 4.63947 + 8.03581i 0.167413 + 0.289967i
\(769\) −36.2090 20.9053i −1.30573 0.753863i −0.324349 0.945938i \(-0.605145\pi\)
−0.981380 + 0.192075i \(0.938478\pi\)
\(770\) 16.0944 + 2.14566i 0.580003 + 0.0773242i
\(771\) −24.9361 43.1907i −0.898053 1.55547i
\(772\) 3.46856 2.00257i 0.124836 0.0720742i
\(773\) 41.4336i 1.49026i −0.666917 0.745132i \(-0.732387\pi\)
0.666917 0.745132i \(-0.267613\pi\)
\(774\) 6.19877i 0.222810i
\(775\)