Properties

Label 91.2.u.b.88.5
Level $91$
Weight $2$
Character 91.88
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.u (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 88.5
Root \(0.874681 + 1.11128i\) of defining polynomial
Character \(\chi\) \(=\) 91.88
Dual form 91.2.u.b.30.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.16500 + 0.672613i) q^{2} +2.05010 q^{3} +(-0.0951832 - 0.164862i) q^{4} +(-3.08979 + 1.78389i) q^{5} +(2.38837 + 1.37893i) q^{6} +(-2.09638 - 1.61406i) q^{7} -2.94654i q^{8} +1.20292 q^{9} +O(q^{10})\) \(q+(1.16500 + 0.672613i) q^{2} +2.05010 q^{3} +(-0.0951832 - 0.164862i) q^{4} +(-3.08979 + 1.78389i) q^{5} +(2.38837 + 1.37893i) q^{6} +(-2.09638 - 1.61406i) q^{7} -2.94654i q^{8} +1.20292 q^{9} -4.79947 q^{10} +1.27867i 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} +(1.79151 - 3.10299i) q^{16} +(3.86960 + 6.70234i) q^{17} +(1.40141 + 0.809103i) q^{18} +0.943878i q^{19} +(0.588191 + 0.339592i) q^{20} +(-4.29779 - 3.30899i) q^{21} +(-0.860052 + 1.48965i) q^{22} +(0.823637 - 1.42658i) q^{23} -6.04071i q^{24} +(3.86451 - 6.69354i) q^{25} +(4.48308 + 1.85129i) q^{26} -3.68419 q^{27} +(-0.0665578 + 0.499245i) q^{28} +(-2.02242 - 3.50293i) q^{29} -9.83940 q^{30} +(-4.46193 - 2.57610i) q^{31} +(-0.929326 + 0.536547i) q^{32} +2.62141i q^{33} +10.4110i q^{34} +(9.35667 + 1.24740i) q^{35} +(-0.114498 - 0.198317i) q^{36} +(0.914594 + 0.528041i) q^{37} +(-0.634865 + 1.09962i) q^{38} +(7.32747 - 0.972721i) q^{39} +(5.25629 + 9.10417i) q^{40} +(-3.63629 + 2.09941i) q^{41} +(-2.78126 - 6.74573i) q^{42} +(1.91532 - 3.31744i) q^{43} +(0.210805 - 0.121708i) q^{44} +(-3.71678 + 2.14588i) q^{45} +(1.91908 - 1.10798i) q^{46} +(-0.774415 + 0.447109i) q^{47} +(3.67279 - 6.36146i) q^{48} +(1.78961 + 6.76737i) q^{49} +(9.00432 - 5.19865i) q^{50} +(7.93308 + 13.7405i) q^{51} +(-0.418426 - 0.544088i) q^{52} +(0.0399961 - 0.0692754i) q^{53} +(-4.29208 - 2.47804i) q^{54} +(-2.28101 - 3.95082i) q^{55} +(-4.75590 + 6.17706i) q^{56} +1.93505i q^{57} -5.44122i q^{58} +(9.68627 - 5.59237i) q^{59} +(1.20585 + 0.696200i) q^{60} -7.62392 q^{61} +(-3.46543 - 6.00231i) q^{62} +(-2.52178 - 1.94159i) q^{63} -8.60961 q^{64} +(-10.1971 + 7.84199i) q^{65} +(-1.76319 + 3.05394i) q^{66} -6.32103i q^{67} +(0.736641 - 1.27590i) q^{68} +(1.68854 - 2.92464i) q^{69} +(10.0615 + 7.74664i) q^{70} +(9.89346 + 5.71199i) q^{71} -3.54446i q^{72} +(-0.658617 - 0.380253i) q^{73} +(0.710335 + 1.23034i) q^{74} +(7.92265 - 13.7224i) 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} +12.7834i q^{80} -11.1617 q^{81} -5.64837 q^{82} +2.32483i q^{83} +(-0.136450 + 1.02350i) q^{84} +(-23.9125 - 13.8059i) q^{85} +(4.46270 - 2.57654i) q^{86} +(-4.14617 - 7.18137i) q^{87} +3.76766 q^{88} +(6.56124 + 3.78813i) q^{89} -5.77339 q^{90} +(-8.25870 - 4.77430i) q^{91} -0.313586 q^{92} +(-9.14742 - 5.28127i) q^{93} -1.20292 q^{94} +(-1.68377 - 2.91638i) q^{95} +(-1.90522 + 1.09998i) q^{96} +(-0.414443 - 0.239279i) q^{97} +(-2.46693 + 9.08770i) q^{98} +1.53815i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 6q^{3} + 4q^{4} + 3q^{5} - 9q^{6} + 3q^{7} + 2q^{9} + O(q^{10}) \) \( 12q + 6q^{3} + 4q^{4} + 3q^{5} - 9q^{6} + 3q^{7} + 2q^{9} - 24q^{10} - q^{12} - 2q^{13} + 4q^{14} - 12q^{15} - 8q^{16} + 17q^{17} - 3q^{18} - 3q^{20} - 21q^{21} - 15q^{22} + 3q^{23} - 5q^{25} - 9q^{26} + 12q^{27} + 27q^{28} - q^{29} - 22q^{30} - 18q^{31} + 18q^{32} + 18q^{35} - 13q^{36} + 15q^{37} + 19q^{38} - q^{39} - q^{40} - 6q^{41} - 8q^{42} + 11q^{43} + 33q^{44} - 9q^{45} - 30q^{46} + 15q^{47} + 19q^{48} + 9q^{49} + 18q^{50} + 4q^{51} + 47q^{52} - 8q^{53} + 6q^{54} - 15q^{55} + 27q^{59} + 30q^{60} - 10q^{61} + 41q^{62} - 54q^{63} + 2q^{64} - 3q^{65} - 34q^{66} - 11q^{68} + 7q^{69} - 3q^{70} + 30q^{71} - 42q^{73} - 33q^{74} + q^{75} - 45q^{76} - 19q^{77} + 44q^{78} - 35q^{79} - 28q^{81} - 10q^{82} + 3q^{84} - 21q^{85} + 57q^{86} + 10q^{87} + 28q^{88} + 48q^{89} - 16q^{91} - 66q^{92} - 81q^{93} - 2q^{94} + 2q^{95} - 21q^{96} - 3q^{97} - 36q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.16500 + 0.672613i 0.823779 + 0.475609i 0.851718 0.524000i \(-0.175561\pi\)
−0.0279386 + 0.999610i \(0.508894\pi\)
\(3\) 2.05010 1.18363 0.591814 0.806075i \(-0.298412\pi\)
0.591814 + 0.806075i \(0.298412\pi\)
\(4\) −0.0951832 0.164862i −0.0475916 0.0824311i
\(5\) −3.08979 + 1.78389i −1.38179 + 0.797779i −0.992372 0.123280i \(-0.960659\pi\)
−0.389422 + 0.921059i \(0.627325\pi\)
\(6\) 2.38837 + 1.37893i 0.975048 + 0.562944i
\(7\) −2.09638 1.61406i −0.792357 0.610058i
\(8\) 2.94654i 1.04176i
\(9\) 1.20292 0.400975
\(10\) −4.79947 −1.51772
\(11\) 1.27867i 0.385534i 0.981245 + 0.192767i \(0.0617462\pi\)
−0.981245 + 0.192767i \(0.938254\pi\)
\(12\) −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
\(16\) 1.79151 3.10299i 0.447878 0.775748i
\(17\) 3.86960 + 6.70234i 0.938515 + 1.62556i 0.768242 + 0.640159i \(0.221132\pi\)
0.170273 + 0.985397i \(0.445535\pi\)
\(18\) 1.40141 + 0.809103i 0.330315 + 0.190707i
\(19\) 0.943878i 0.216540i 0.994121 + 0.108270i \(0.0345312\pi\)
−0.994121 + 0.108270i \(0.965469\pi\)
\(20\) 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
\(23\) 0.823637 1.42658i 0.171740 0.297463i −0.767288 0.641303i \(-0.778394\pi\)
0.939028 + 0.343840i \(0.111728\pi\)
\(24\) 6.04071i 1.23305i
\(25\) 3.86451 6.69354i 0.772903 1.33871i
\(26\) 4.48308 + 1.85129i 0.879203 + 0.363068i
\(27\) −3.68419 −0.709023
\(28\) −0.0665578 + 0.499245i −0.0125782 + 0.0943485i
\(29\) −2.02242 3.50293i −0.375554 0.650478i 0.614856 0.788639i \(-0.289214\pi\)
−0.990410 + 0.138161i \(0.955881\pi\)
\(30\) −9.83940 −1.79642
\(31\) −4.46193 2.57610i −0.801387 0.462681i 0.0425691 0.999094i \(-0.486446\pi\)
−0.843956 + 0.536413i \(0.819779\pi\)
\(32\) −0.929326 + 0.536547i −0.164283 + 0.0948490i
\(33\) 2.62141i 0.456329i
\(34\) 10.4110i 1.78547i
\(35\) 9.35667 + 1.24740i 1.58157 + 0.210849i
\(36\) −0.114498 0.198317i −0.0190830 0.0330528i
\(37\) 0.914594 + 0.528041i 0.150358 + 0.0868094i 0.573292 0.819351i \(-0.305666\pi\)
−0.422933 + 0.906161i \(0.639000\pi\)
\(38\) −0.634865 + 1.09962i −0.102989 + 0.178382i
\(39\) 7.32747 0.972721i 1.17333 0.155760i
\(40\) 5.25629 + 9.10417i 0.831093 + 1.43950i
\(41\) −3.63629 + 2.09941i −0.567893 + 0.327873i −0.756307 0.654217i \(-0.772998\pi\)
0.188415 + 0.982090i \(0.439665\pi\)
\(42\) −2.78126 6.74573i −0.429157 1.04089i
\(43\) 1.91532 3.31744i 0.292084 0.505904i −0.682218 0.731148i \(-0.738985\pi\)
0.974302 + 0.225244i \(0.0723180\pi\)
\(44\) 0.210805 0.121708i 0.0317800 0.0183482i
\(45\) −3.71678 + 2.14588i −0.554064 + 0.319889i
\(46\) 1.91908 1.10798i 0.282952 0.163363i
\(47\) −0.774415 + 0.447109i −0.112960 + 0.0652175i −0.555416 0.831573i \(-0.687441\pi\)
0.442456 + 0.896790i \(0.354107\pi\)
\(48\) 3.67279 6.36146i 0.530121 0.918197i
\(49\) 1.78961 + 6.76737i 0.255658 + 0.966767i
\(50\) 9.00432 5.19865i 1.27340 0.735200i
\(51\) 7.93308 + 13.7405i 1.11085 + 1.92405i
\(52\) −0.418426 0.544088i −0.0580253 0.0754514i
\(53\) 0.0399961 0.0692754i 0.00549389 0.00951570i −0.863265 0.504750i \(-0.831585\pi\)
0.868759 + 0.495235i \(0.164918\pi\)
\(54\) −4.29208 2.47804i −0.584079 0.337218i
\(55\) −2.28101 3.95082i −0.307571 0.532729i
\(56\) −4.75590 + 6.17706i −0.635533 + 0.825444i
\(57\) 1.93505i 0.256303i
\(58\) 5.44122i 0.714467i
\(59\) 9.68627 5.59237i 1.26104 0.728064i 0.287768 0.957700i \(-0.407087\pi\)
0.973277 + 0.229636i \(0.0737535\pi\)
\(60\) 1.20585 + 0.696200i 0.155675 + 0.0898790i
\(61\) −7.62392 −0.976143 −0.488072 0.872804i \(-0.662299\pi\)
−0.488072 + 0.872804i \(0.662299\pi\)
\(62\) −3.46543 6.00231i −0.440111 0.762294i
\(63\) −2.52178 1.94159i −0.317715 0.244618i
\(64\) −8.60961 −1.07620
\(65\) −10.1971 + 7.84199i −1.26479 + 0.972679i
\(66\) −1.76319 + 3.05394i −0.217034 + 0.375914i
\(67\) 6.32103i 0.772237i −0.922449 0.386119i \(-0.873816\pi\)
0.922449 0.386119i \(-0.126184\pi\)
\(68\) 0.736641 1.27590i 0.0893309 0.154726i
\(69\) 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 0.954651 0.297727i \(-0.0962285\pi\)
0.219487 + 0.975616i \(0.429562\pi\)
\(72\) 3.54446i 0.417719i
\(73\) −0.658617 0.380253i −0.0770853 0.0445052i 0.460962 0.887420i \(-0.347504\pi\)
−0.538047 + 0.842915i \(0.680838\pi\)
\(74\) 0.710335 + 1.23034i 0.0825747 + 0.143024i
\(75\) 7.92265 13.7224i 0.914829 1.58453i
\(76\) 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 \(0.781983\pi\)
\(80\) 12.7834i 1.42923i
\(81\) −11.1617 −1.24019
\(82\) −5.64837 −0.623758
\(83\) 2.32483i 0.255183i 0.991827 + 0.127591i \(0.0407246\pi\)
−0.991827 + 0.127591i \(0.959275\pi\)
\(84\) −0.136450 + 1.02350i −0.0148879 + 0.111673i
\(85\) −23.9125 13.8059i −2.59367 1.49746i
\(86\) 4.46270 2.57654i 0.481226 0.277836i
\(87\) −4.14617 7.18137i −0.444516 0.769924i
\(88\) 3.76766 0.401634
\(89\) 6.56124 + 3.78813i 0.695490 + 0.401541i 0.805665 0.592371i \(-0.201808\pi\)
−0.110176 + 0.993912i \(0.535141\pi\)
\(90\) −5.77339 −0.608569
\(91\) −8.25870 4.77430i −0.865747 0.500482i
\(92\) −0.313586 −0.0326936
\(93\) −9.14742 5.28127i −0.948544 0.547642i
\(94\) −1.20292 −0.124072
\(95\) −1.68377 2.91638i −0.172751 0.299214i
\(96\) −1.90522 + 1.09998i −0.194450 + 0.112266i
\(97\) −0.414443 0.239279i −0.0420803 0.0242951i 0.478812 0.877917i \(-0.341067\pi\)
−0.520893 + 0.853622i \(0.674401\pi\)
\(98\) −2.46693 + 9.08770i −0.249198 + 0.917996i
\(99\) 1.53815i 0.154589i
\(100\) −1.47135 −0.147135
\(101\) −2.87836 −0.286407 −0.143204 0.989693i \(-0.545740\pi\)
−0.143204 + 0.989693i \(0.545740\pi\)
\(102\) 21.3436i 2.11333i
\(103\) −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
\(107\) 3.28603 5.69157i 0.317673 0.550225i −0.662329 0.749213i \(-0.730432\pi\)
0.980002 + 0.198988i \(0.0637653\pi\)
\(108\) 0.350673 + 0.607384i 0.0337435 + 0.0584455i
\(109\) 5.05684 + 2.91957i 0.484358 + 0.279644i 0.722231 0.691652i \(-0.243117\pi\)
−0.237873 + 0.971296i \(0.576450\pi\)
\(110\) 6.13694i 0.585135i
\(111\) 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 −0.977761 0.209723i \(-0.932744\pi\)
0.670506 + 0.741904i \(0.266077\pi\)
\(114\) −1.30154 + 2.25433i −0.121900 + 0.211137i
\(115\) 5.87711i 0.548043i
\(116\) −0.385001 + 0.666841i −0.0357464 + 0.0619146i
\(117\) 4.29949 0.570756i 0.397488 0.0527664i
\(118\) 15.0460 1.38510
\(119\) 2.70585 20.2964i 0.248045 1.86057i
\(120\) 10.7759 + 18.6645i 0.983705 + 1.70383i
\(121\) 9.36500 0.851363
\(122\) −8.88187 5.12795i −0.804127 0.464263i
\(123\) −7.45477 + 4.30401i −0.672174 + 0.388080i
\(124\) 0.980805i 0.0880789i
\(125\) 9.73656i 0.870865i
\(126\) −1.63194 3.95814i −0.145385 0.352619i
\(127\) 7.35818 + 12.7447i 0.652932 + 1.13091i 0.982408 + 0.186748i \(0.0597948\pi\)
−0.329475 + 0.944164i \(0.606872\pi\)
\(128\) −8.17154 4.71784i −0.722269 0.417002i
\(129\) 3.92661 6.80109i 0.345719 0.598802i
\(130\) −17.1542 + 2.27722i −1.50453 + 0.199726i
\(131\) −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
\(133\) 1.52348 1.97873i 0.132102 0.171577i
\(134\) 4.25161 7.36400i 0.367283 0.636153i
\(135\) 11.3834 6.57219i 0.979724 0.565644i
\(136\) 19.7487 11.4019i 1.69344 0.977706i
\(137\) −15.2687 + 8.81541i −1.30450 + 0.753151i −0.981172 0.193137i \(-0.938134\pi\)
−0.323324 + 0.946288i \(0.604800\pi\)
\(138\) 3.93430 2.27147i 0.334910 0.193360i
\(139\) 2.92855 5.07240i 0.248396 0.430235i −0.714685 0.699447i \(-0.753430\pi\)
0.963081 + 0.269212i \(0.0867631\pi\)
\(140\) −0.684948 1.66129i −0.0578887 0.140405i
\(141\) −1.58763 + 0.916619i −0.133703 + 0.0771932i
\(142\) 7.68392 + 13.3089i 0.644820 + 1.11686i
\(143\) 0.606697 + 4.57022i 0.0507345 + 0.382181i
\(144\) 2.15506 3.73267i 0.179588 0.311055i
\(145\) 12.4977 + 7.21554i 1.03788 + 0.599218i
\(146\) −0.511526 0.885989i −0.0423342 0.0733250i
\(147\) 3.66888 + 13.8738i 0.302604 + 1.14429i
\(148\) 0.201043i 0.0165256i
\(149\) 10.4790i 0.858470i 0.903193 + 0.429235i \(0.141217\pi\)
−0.903193 + 0.429235i \(0.858783\pi\)
\(150\) 18.4598 10.6578i 1.50724 0.870203i
\(151\) 4.08249 + 2.35703i 0.332229 + 0.191812i 0.656830 0.754039i \(-0.271897\pi\)
−0.324602 + 0.945851i \(0.605230\pi\)
\(152\) 2.78117 0.225583
\(153\) 4.65483 + 8.06241i 0.376321 + 0.651807i
\(154\) 4.20739 1.73470i 0.339041 0.139786i
\(155\) 18.3819 1.47647
\(156\) −0.857817 1.11544i −0.0686803 0.0893063i
\(157\) −4.50105 + 7.79604i −0.359223 + 0.622192i −0.987831 0.155530i \(-0.950291\pi\)
0.628608 + 0.777722i \(0.283625\pi\)
\(158\) 3.84103i 0.305576i
\(159\) 0.0819962 0.142022i 0.00650272 0.0112630i
\(160\) 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
\(163\) 12.0324i 0.942449i 0.882013 + 0.471224i \(0.156188\pi\)
−0.882013 + 0.471224i \(0.843812\pi\)
\(164\) 0.692227 + 0.399657i 0.0540538 + 0.0312080i
\(165\) −4.67630 8.09959i −0.364050 0.630553i
\(166\) −1.56371 + 2.70842i −0.121367 + 0.210214i
\(167\) −16.8199 + 9.71099i −1.30157 + 0.751459i −0.980672 0.195657i \(-0.937316\pi\)
−0.320893 + 0.947116i \(0.603983\pi\)
\(168\) −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
\(171\) 1.13541i 0.0868273i
\(172\) −0.729226 −0.0556030
\(173\) −14.3795 −1.09325 −0.546627 0.837376i \(-0.684088\pi\)
−0.546627 + 0.837376i \(0.684088\pi\)
\(174\) 11.1551i 0.845663i
\(175\) −18.9053 + 7.79462i −1.42910 + 0.589218i
\(176\) 3.96771 + 2.29076i 0.299077 + 0.172672i
\(177\) 19.8578 11.4649i 1.49261 0.861757i
\(178\) 5.09589 + 8.82635i 0.381953 + 0.661563i
\(179\) −5.42606 −0.405563 −0.202781 0.979224i \(-0.564998\pi\)
−0.202781 + 0.979224i \(0.564998\pi\)
\(180\) 0.707550 + 0.408504i 0.0527376 + 0.0304481i
\(181\) −15.4902 −1.15138 −0.575688 0.817669i \(-0.695266\pi\)
−0.575688 + 0.817669i \(0.695266\pi\)
\(182\) −6.41013 11.1170i −0.475150 0.824044i
\(183\) −15.6298 −1.15539
\(184\) −4.20348 2.42688i −0.309885 0.178912i
\(185\) −3.76786 −0.277019
\(186\) −7.10450 12.3054i −0.520927 0.902272i
\(187\) −8.57010 + 4.94795i −0.626707 + 0.361830i
\(188\) 0.147423 + 0.0851144i 0.0107519 + 0.00620761i
\(189\) 7.72346 + 5.94651i 0.561799 + 0.432545i
\(190\) 4.53011i 0.328649i
\(191\) 4.74622 0.343425 0.171712 0.985147i \(-0.445070\pi\)
0.171712 + 0.985147i \(0.445070\pi\)
\(192\) −17.6506 −1.27382
\(193\) 21.0391i 1.51443i −0.653166 0.757215i \(-0.726559\pi\)
0.653166 0.757215i \(-0.273441\pi\)
\(194\) −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 −0.309857 0.950783i \(-0.600281\pi\)
0.668474 + 0.743736i \(0.266948\pi\)
\(198\) −1.03458 + 1.79194i −0.0735242 + 0.127348i
\(199\) 5.30909 + 9.19562i 0.376352 + 0.651860i 0.990528 0.137309i \(-0.0438452\pi\)
−0.614177 + 0.789168i \(0.710512\pi\)
\(200\) −19.7228 11.3869i −1.39461 0.805178i
\(201\) 12.9588i 0.914041i
\(202\) −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
\(205\) 7.49023 12.9735i 0.523140 0.906106i
\(206\) 15.2483i 1.06240i
\(207\) 0.990773 1.71607i 0.0688635 0.119275i
\(208\) 4.93093 11.9407i 0.341899 0.827941i
\(209\) −1.20691 −0.0834837
\(210\) 20.6271 + 15.8814i 1.42341 + 1.09592i
\(211\) 2.33275 + 4.04043i 0.160593 + 0.278155i 0.935081 0.354433i \(-0.115326\pi\)
−0.774489 + 0.632588i \(0.781993\pi\)
\(212\) −0.0152278 −0.00104585
\(213\) 20.2826 + 11.7102i 1.38974 + 0.802368i
\(214\) 7.65645 4.42046i 0.523384 0.302176i
\(215\) 13.6669i 0.932074i
\(216\) 10.8556i 0.738631i
\(217\) 5.19592 + 12.6023i 0.352722 + 0.855501i
\(218\) 3.92748 + 6.80260i 0.266003 + 0.460730i
\(219\) −1.35023 0.779558i −0.0912403 0.0526776i
\(220\) −0.434227 + 0.752104i −0.0292756 + 0.0507068i
\(221\) 17.0108 + 22.1195i 1.14427 + 1.48792i
\(222\) 1.45626 + 2.52232i 0.0977377 + 0.169287i
\(223\) 20.9798 12.1127i 1.40491 0.811126i 0.410020 0.912076i \(-0.365522\pi\)
0.994891 + 0.100950i \(0.0321883\pi\)
\(224\) 2.81424 + 0.375185i 0.188034 + 0.0250681i
\(225\) 4.64872 8.05182i 0.309915 0.536788i
\(226\) −7.61017 + 4.39373i −0.506221 + 0.292267i
\(227\) −13.3154 + 7.68764i −0.883773 + 0.510247i −0.871901 0.489683i \(-0.837113\pi\)
−0.0118726 + 0.999930i \(0.503779\pi\)
\(228\) 0.319016 0.184184i 0.0211274 0.0121979i
\(229\) 14.1608 8.17573i 0.935771 0.540268i 0.0471389 0.998888i \(-0.484990\pi\)
0.888632 + 0.458621i \(0.151656\pi\)
\(230\) −3.95302 + 6.84683i −0.260654 + 0.451467i
\(231\) 4.23112 5.49547i 0.278387 0.361575i
\(232\) −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 \(-0.569272\pi\)
\(234\) 5.39280 + 2.22696i 0.352538 + 0.145581i
\(235\) 1.59518 2.76294i 0.104058 0.180234i
\(236\) −1.84394 1.06460i −0.120030 0.0692995i
\(237\) 2.92684 + 5.06943i 0.190119 + 0.329295i
\(238\) 16.8040 21.8253i 1.08924 1.41473i
\(239\) 8.65409i 0.559787i −0.960031 0.279893i \(-0.909701\pi\)
0.960031 0.279893i \(-0.0902991\pi\)
\(240\) 26.2074i 1.69168i
\(241\) 15.7601 9.09909i 1.01520 0.586124i 0.102487 0.994734i \(-0.467320\pi\)
0.912709 + 0.408611i \(0.133987\pi\)
\(242\) 10.9102 + 6.29902i 0.701336 + 0.404916i
\(243\) −11.8302 −0.758905
\(244\) 0.725669 + 1.25690i 0.0464562 + 0.0804645i
\(245\) −17.6017 17.7173i −1.12453 1.13191i
\(246\) −11.5797 −0.738297
\(247\) 0.447846 + 3.37360i 0.0284957 + 0.214657i
\(248\) −7.59057 + 13.1473i −0.482002 + 0.834851i
\(249\) 4.76614i 0.302042i
\(250\) −6.54894 + 11.3431i −0.414191 + 0.717400i
\(251\) 7.93598 13.7455i 0.500915 0.867610i −0.499085 0.866553i \(-0.666330\pi\)
0.999999 0.00105678i \(-0.000336383\pi\)
\(252\) −0.0800639 + 0.600554i −0.00504355 + 0.0378313i
\(253\) 1.82413 + 1.05316i 0.114682 + 0.0662117i
\(254\) 19.7968i 1.24216i
\(255\) −49.0230 28.3034i −3.06994 1.77243i
\(256\) 2.26304 + 3.91971i 0.141440 + 0.244982i
\(257\) −12.1634 + 21.0676i −0.758730 + 1.31416i 0.184769 + 0.982782i \(0.440846\pi\)
−0.943499 + 0.331376i \(0.892487\pi\)
\(258\) 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
\(262\) 15.0486i 0.929708i
\(263\) 15.4345 0.951734 0.475867 0.879517i \(-0.342134\pi\)
0.475867 + 0.879517i \(0.342134\pi\)
\(264\) 7.72409 0.475385
\(265\) 0.285395i 0.0175317i
\(266\) 3.10577 1.28050i 0.190427 0.0785128i
\(267\) 13.4512 + 7.76606i 0.823201 + 0.475275i
\(268\) −1.04210 + 0.601656i −0.0636563 + 0.0367520i
\(269\) 6.52035 + 11.2936i 0.397553 + 0.688582i 0.993423 0.114499i \(-0.0365261\pi\)
−0.595870 + 0.803081i \(0.703193\pi\)
\(270\) 17.6822 1.07610
\(271\) 23.3572 + 13.4853i 1.41885 + 0.819174i 0.996198 0.0871168i \(-0.0277653\pi\)
0.422654 + 0.906291i \(0.361099\pi\)
\(272\) 27.7298 1.68136
\(273\) −16.9312 9.78780i −1.02472 0.592385i
\(274\) −23.7174 −1.43282
\(275\) 8.55884 + 4.94145i 0.516117 + 0.297980i
\(276\) −0.642883 −0.0386970
\(277\) 6.35073 + 10.9998i 0.381578 + 0.660913i 0.991288 0.131712i \(-0.0420474\pi\)
−0.609710 + 0.792625i \(0.708714\pi\)
\(278\) 6.82352 3.93956i 0.409248 0.236279i
\(279\) −5.36737 3.09885i −0.321336 0.185523i
\(280\) 3.67551 27.5698i 0.219654 1.64761i
\(281\) 26.7216i 1.59408i −0.603930 0.797038i \(-0.706399\pi\)
0.603930 0.797038i \(-0.293601\pi\)
\(282\) −2.46612 −0.146855
\(283\) −14.7423 −0.876336 −0.438168 0.898893i \(-0.644373\pi\)
−0.438168 + 0.898893i \(0.644373\pi\)
\(284\) 2.17474i 0.129047i
\(285\) −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
\(289\) −21.4476 + 37.1483i −1.26162 + 2.18519i
\(290\) 9.70653 + 16.8122i 0.569987 + 0.987247i
\(291\) −0.849651 0.490546i −0.0498074 0.0287563i
\(292\) 0.144775i 0.00847230i
\(293\) −10.0312 5.79153i −0.586030 0.338345i 0.177496 0.984121i \(-0.443200\pi\)
−0.763526 + 0.645777i \(0.776534\pi\)
\(294\) −5.05747 + 18.6307i −0.294957 + 1.08657i
\(295\) −19.9523 + 34.5584i −1.16167 + 2.01207i
\(296\) 1.55589 2.69489i 0.0904344 0.156637i
\(297\) 4.71087i 0.273353i
\(298\) −7.04829 + 12.2080i −0.408297 + 0.707190i
\(299\) 2.26697 5.48968i 0.131102 0.317476i
\(300\) −3.01641 −0.174153
\(301\) −9.36979 + 3.86315i −0.540066 + 0.222668i
\(302\) 3.17074 + 5.49188i 0.182455 + 0.316022i
\(303\) −5.90093 −0.339000
\(304\) 2.92885 + 1.69097i 0.167981 + 0.0969838i
\(305\) 23.5563 13.6002i 1.34883 0.778746i
\(306\) 12.5236i 0.715927i
\(307\) 29.3335i 1.67415i −0.547086 0.837076i \(-0.684263\pi\)
0.547086 0.837076i \(-0.315737\pi\)
\(308\) −0.638371 0.0851055i −0.0363746 0.00484934i
\(309\) −11.6191 20.1248i −0.660986 1.14486i
\(310\) 21.4149 + 12.3639i 1.21628 + 0.702222i
\(311\) −0.0753271 + 0.130470i −0.00427141 + 0.00739830i −0.868153 0.496296i \(-0.834693\pi\)
0.863882 + 0.503695i \(0.168026\pi\)
\(312\) −2.86616 21.5907i −0.162264 1.22233i
\(313\) 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
\(315\) 11.2554 + 1.50053i 0.634168 + 0.0845452i
\(316\) 0.271777 0.470732i 0.0152887 0.0264808i
\(317\) −1.30489 + 0.753380i −0.0732901 + 0.0423140i −0.536197 0.844093i \(-0.680140\pi\)
0.462907 + 0.886407i \(0.346806\pi\)
\(318\) 0.191051 0.110303i 0.0107136 0.00618551i
\(319\) 4.47910 2.58601i 0.250782 0.144789i
\(320\) 26.6018 15.3586i 1.48709 0.858571i
\(321\) 6.73671 11.6683i 0.376006 0.651262i
\(322\) −5.81145 0.774765i −0.323860 0.0431759i
\(323\) −6.32619 + 3.65243i −0.351999 + 0.203227i
\(324\) 1.06241 + 1.84015i 0.0590228 + 0.102231i
\(325\) 10.6366 25.7576i 0.590014 1.42878i
\(326\) −8.09314 + 14.0177i −0.448237 + 0.776370i
\(327\) 10.3671 + 5.98542i 0.573299 + 0.330995i
\(328\) 6.18600 + 10.7145i 0.341565 + 0.591607i
\(329\) 2.34513 + 0.312645i 0.129291 + 0.0172367i
\(330\) 12.5814i 0.692582i
\(331\) 25.2509i 1.38791i −0.720017 0.693957i \(-0.755866\pi\)
0.720017 0.693957i \(-0.244134\pi\)
\(332\) 0.383276 0.221284i 0.0210350 0.0121446i
\(333\) 1.10019 + 0.635193i 0.0602899 + 0.0348084i
\(334\) −26.1270 −1.42960
\(335\) 11.2760 + 19.5306i 0.616075 + 1.06707i
\(336\) −17.9673 + 7.40791i −0.980199 + 0.404135i
\(337\) 32.1811 1.75302 0.876509 0.481386i \(-0.159866\pi\)
0.876509 + 0.481386i \(0.159866\pi\)
\(338\) 16.9018 + 4.48977i 0.919335 + 0.244211i
\(339\) −6.69598 + 11.5978i −0.363676 + 0.629905i
\(340\) 5.25634i 0.285065i
\(341\) 3.29398 5.70535i 0.178379 0.308962i
\(342\) −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
\(345\) 12.0487i 0.648679i
\(346\) −16.7521 9.67185i −0.900600 0.519962i
\(347\) −12.3819 21.4461i −0.664695 1.15128i −0.979368 0.202085i \(-0.935228\pi\)
0.314673 0.949200i \(-0.398105\pi\)
\(348\) −0.789291 + 1.36709i −0.0423104 + 0.0732838i
\(349\) −10.0075 + 5.77782i −0.535688 + 0.309280i −0.743330 0.668925i \(-0.766755\pi\)
0.207642 + 0.978205i \(0.433421\pi\)
\(350\) −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
\(353\) 20.0884i 1.06920i 0.845106 + 0.534599i \(0.179537\pi\)
−0.845106 + 0.534599i \(0.820463\pi\)
\(354\) 30.8459 1.63944
\(355\) −40.7582 −2.16322
\(356\) 1.44227i 0.0764399i
\(357\) 5.54728 41.6097i 0.293593 2.20222i
\(358\) −6.32136 3.64964i −0.334094 0.192890i
\(359\) −13.0346 + 7.52551i −0.687938 + 0.397181i −0.802839 0.596196i \(-0.796678\pi\)
0.114901 + 0.993377i \(0.463345\pi\)
\(360\) 6.32292 + 10.9516i 0.333247 + 0.577201i
\(361\) 18.1091 0.953110
\(362\) −18.0461 10.4189i −0.948481 0.547606i
\(363\) 19.1992 1.00770
\(364\) −0.00101167 + 1.81598i −5.30260e−5 + 0.0951832i
\(365\) 2.71331 0.142021
\(366\) −18.2087 10.5128i −0.951787 0.549514i
\(367\) 9.00355 0.469982 0.234991 0.971998i \(-0.424494\pi\)
0.234991 + 0.971998i \(0.424494\pi\)
\(368\) −2.95112 5.11148i −0.153838 0.266454i
\(369\) −4.37418 + 2.52543i −0.227711 + 0.131469i
\(370\) −4.38956 2.53431i −0.228202 0.131753i
\(371\) −0.195662 + 0.0806711i −0.0101583 + 0.00418823i
\(372\) 2.01075i 0.104253i
\(373\) −16.1391 −0.835649 −0.417824 0.908528i \(-0.637207\pi\)
−0.417824 + 0.908528i \(0.637207\pi\)
\(374\) −13.3122 −0.688358
\(375\) 19.9610i 1.03078i
\(376\) 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 −0.806183 0.591666i \(-0.798471\pi\)
0.109306 + 0.994008i \(0.465137\pi\)
\(380\) −0.320534 + 0.555181i −0.0164430 + 0.0284802i
\(381\) 15.0850 + 26.1280i 0.772829 + 1.33858i
\(382\) 5.52935 + 3.19237i 0.282906 + 0.163336i
\(383\) 24.6328i 1.25868i 0.777131 + 0.629339i \(0.216674\pi\)
−0.777131 + 0.629339i \(0.783326\pi\)
\(384\) −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
\(387\) 2.30399 3.99062i 0.117118 0.202855i
\(388\) 0.0911013i 0.00462497i
\(389\) −9.42834 + 16.3304i −0.478036 + 0.827982i −0.999683 0.0251791i \(-0.991984\pi\)
0.521647 + 0.853161i \(0.325318\pi\)
\(390\) −35.1680 + 4.66854i −1.78080 + 0.236401i
\(391\) 12.7486 0.644724
\(392\) 19.9403 5.27314i 1.00714 0.266334i
\(393\) −11.4669 19.8613i −0.578431 1.00187i
\(394\) 7.81857 0.393894
\(395\) −8.82229 5.09355i −0.443897 0.256284i
\(396\) 0.253582 0.146406i 0.0127430 0.00735716i
\(397\) 14.5030i 0.727884i −0.931422 0.363942i \(-0.881431\pi\)
0.931422 0.363942i \(-0.118569\pi\)
\(398\) 14.2839i 0.715985i
\(399\) 3.12329 4.05659i 0.156360 0.203084i
\(400\) −13.8467 23.9831i −0.692333 1.19916i
\(401\) 18.1770 + 10.4945i 0.907714 + 0.524069i 0.879695 0.475539i \(-0.157747\pi\)
0.0280189 + 0.999607i \(0.491080\pi\)
\(402\) 8.71624 15.0970i 0.434727 0.752968i
\(403\) −17.1701 7.09041i −0.855304 0.353198i
\(404\) 0.273971 + 0.474532i 0.0136306 + 0.0236089i
\(405\) 34.4874 19.9113i 1.71369 0.989401i
\(406\) −8.78247 + 11.4069i −0.435867 + 0.566113i
\(407\) −0.675191 + 1.16947i −0.0334680 + 0.0579683i
\(408\) 40.4869 23.3751i 2.00440 1.15724i
\(409\) −18.5568 + 10.7138i −0.917576 + 0.529763i −0.882861 0.469635i \(-0.844386\pi\)
−0.0347148 + 0.999397i \(0.511052\pi\)
\(410\) 17.4522 10.0761i 0.861905 0.497621i
\(411\) −31.3025 + 18.0725i −1.54404 + 0.891451i
\(412\) −1.07891 + 1.86873i −0.0531542 + 0.0920657i
\(413\) −29.3325 3.91052i −1.44336 0.192424i
\(414\) 2.30850 1.33281i 0.113457 0.0655043i
\(415\) −4.14723 7.18321i −0.203580 0.352610i
\(416\) −3.06702 + 2.35866i −0.150373 + 0.115643i
\(417\) 6.00383 10.3989i 0.294009 0.509238i
\(418\) −1.40605 0.811784i −0.0687722 0.0397056i
\(419\) −3.98203 6.89708i −0.194535 0.336944i 0.752213 0.658920i \(-0.228986\pi\)
−0.946748 + 0.321976i \(0.895653\pi\)
\(420\) −1.40421 3.40582i −0.0685187 0.166187i
\(421\) 2.81786i 0.137334i 0.997640 + 0.0686670i \(0.0218746\pi\)
−0.997640 + 0.0686670i \(0.978125\pi\)
\(422\) 6.27614i 0.305518i
\(423\) −0.931562 + 0.537838i −0.0452941 + 0.0261506i
\(424\) −0.204122 0.117850i −0.00991306 0.00572331i
\(425\) 59.8165 2.90152
\(426\) 15.7528 + 27.2847i 0.763227 + 1.32195i
\(427\) 15.9826 + 12.3055i 0.773453 + 0.595504i
\(428\) −1.25110 −0.0604742
\(429\) 1.24379 + 9.36943i 0.0600508 + 0.452360i
\(430\) −9.19253 + 15.9219i −0.443303 + 0.767823i
\(431\) 5.73626i 0.276306i −0.990411 0.138153i \(-0.955883\pi\)
0.990411 0.138153i \(-0.0441166\pi\)
\(432\) −6.60028 + 11.4320i −0.317556 + 0.550023i
\(433\) −12.2628 + 21.2398i −0.589314 + 1.02072i 0.405009 + 0.914313i \(0.367268\pi\)
−0.994322 + 0.106409i \(0.966065\pi\)
\(434\) −2.42324 + 18.1765i −0.116319 + 0.872502i
\(435\) 25.6215 + 14.7926i 1.22846 + 0.709251i
\(436\) 1.11158i 0.0532349i
\(437\) 1.34652 + 0.777413i 0.0644128 + 0.0371887i
\(438\) −1.04868 1.81637i −0.0501079 0.0867895i
\(439\) 18.3211 31.7332i 0.874420 1.51454i 0.0170416 0.999855i \(-0.494575\pi\)
0.857379 0.514686i \(-0.172091\pi\)
\(440\) −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 \(-0.389236\pi\)
\(444\) 0.412158i 0.0195602i
\(445\) −27.0304 −1.28136
\(446\) 32.5886 1.54312
\(447\) 21.4830i 1.01611i
\(448\) 18.0490 + 13.8964i 0.852735 + 0.656545i
\(449\) 23.7571 + 13.7162i 1.12117 + 0.647307i 0.941699 0.336456i \(-0.109228\pi\)
0.179470 + 0.983764i \(0.442562\pi\)
\(450\) 10.8315 6.25358i 0.510602 0.294796i
\(451\) −2.68446 4.64962i −0.126406 0.218942i
\(452\) 1.24354 0.0584911
\(453\) 8.36953 + 4.83215i 0.393235 + 0.227034i
\(454\) −20.6832 −0.970712
\(455\) 34.0344 + 0.0189604i 1.59556 + 0.000888877i
\(456\) 5.70169 0.267006
\(457\) −34.3500 19.8320i −1.60682 0.927700i −0.990075 0.140539i \(-0.955116\pi\)
−0.616748 0.787161i \(-0.711550\pi\)
\(458\) 21.9964 1.02783
\(459\) −14.2563 24.6927i −0.665429 1.15256i
\(460\) 0.968913 0.559402i 0.0451758 0.0260823i
\(461\) −4.23988 2.44790i −0.197471 0.114010i 0.398004 0.917384i \(-0.369703\pi\)
−0.595475 + 0.803374i \(0.703036\pi\)
\(462\) 8.62558 3.55631i 0.401298 0.165455i
\(463\) 4.71193i 0.218982i −0.993988 0.109491i \(-0.965078\pi\)
0.993988 0.109491i \(-0.0349221\pi\)
\(464\) −14.4928 −0.672810
\(465\) 37.6848 1.74759
\(466\) 39.1605i 1.81408i
\(467\) 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
\(471\) −9.22761 + 15.9827i −0.425186 + 0.736444i
\(472\) −16.4781 28.5410i −0.758467 1.31370i
\(473\) 4.24191 + 2.44907i 0.195043 + 0.112608i
\(474\) 7.87452i 0.361689i
\(475\) 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
\(478\) 5.82086 10.0820i 0.266240 0.461141i
\(479\) 18.0245i 0.823560i −0.911283 0.411780i \(-0.864907\pi\)
0.911283 0.411780i \(-0.135093\pi\)
\(480\) 3.92447 6.79738i 0.179127 0.310257i
\(481\) 3.51948 + 1.45337i 0.160474 + 0.0662680i
\(482\) 24.4807 1.11506
\(483\) −8.26037 + 3.40574i −0.375860 + 0.154967i
\(484\) −0.891390 1.54393i −0.0405177 0.0701788i
\(485\) 1.70739 0.0775284
\(486\) −13.7821 7.95712i −0.625170 0.360942i
\(487\) −15.2424 + 8.80020i −0.690699 + 0.398775i −0.803874 0.594800i \(-0.797231\pi\)
0.113175 + 0.993575i \(0.463898\pi\)
\(488\) 22.4642i 1.01691i
\(489\) 24.6676i 1.11551i
\(490\) −8.58915 32.4798i −0.388018 1.46729i
\(491\) 1.93180 + 3.34598i 0.0871810 + 0.151002i 0.906318 0.422595i \(-0.138881\pi\)
−0.819138 + 0.573597i \(0.805547\pi\)
\(492\) 1.41914 + 0.819339i 0.0639796 + 0.0369387i
\(493\) 15.6519 27.1099i 0.704926 1.22097i
\(494\) −1.74739 + 4.23148i −0.0786188 + 0.190383i
\(495\) −2.74388 4.75254i −0.123328 0.213611i
\(496\) −15.9872 + 9.23023i −0.717848 + 0.414450i
\(497\) −11.5209 27.9432i −0.516784 1.25342i
\(498\) −3.20576 + 5.55255i −0.143654 + 0.248816i
\(499\) 10.9528 6.32363i 0.490317 0.283084i −0.234389 0.972143i \(-0.575309\pi\)
0.724706 + 0.689058i \(0.241976\pi\)
\(500\) 1.60519 0.926757i 0.0717863 0.0414458i
\(501\) −34.4826 + 19.9085i −1.54057 + 0.889448i
\(502\) 18.4908 10.6757i 0.825287 0.476480i
\(503\) −11.0180 + 19.0837i −0.491268 + 0.850902i −0.999949 0.0100533i \(-0.996800\pi\)
0.508681 + 0.860955i \(0.330133\pi\)
\(504\) −5.72098 + 7.43053i −0.254833 + 0.330982i
\(505\) 8.89351 5.13467i 0.395756 0.228490i
\(506\) 1.41674 + 2.45387i 0.0629818 + 0.109088i
\(507\) 25.7283 6.95339i 1.14263 0.308811i
\(508\) 1.40075 2.42617i 0.0621482 0.107644i
\(509\) −13.5708 7.83509i −0.601514 0.347284i 0.168123 0.985766i \(-0.446229\pi\)
−0.769637 + 0.638482i \(0.779563\pi\)
\(510\) −38.0745 65.9470i −1.68597 2.92018i
\(511\) 0.766959 + 1.86020i 0.0339283 + 0.0822906i
\(512\) 24.9600i 1.10309i
\(513\) 3.47743i 0.153532i
\(514\) −28.3406 + 16.3625i −1.25005 + 0.721718i
\(515\) 35.0230 + 20.2206i 1.54330 + 0.891025i
\(516\) −1.49499 −0.0658132
\(517\) −0.571705 0.990222i −0.0251436 0.0435499i
\(518\) 0.496708 3.72577i 0.0218241 0.163701i
\(519\) −29.4795 −1.29401
\(520\) 23.1067 + 30.0461i 1.01330 + 1.31761i
\(521\) 12.6207 21.8598i 0.552925 0.957694i −0.445137 0.895463i \(-0.646845\pi\)
0.998062 0.0622317i \(-0.0198218\pi\)
\(522\) 6.54538i 0.286483i
\(523\) 6.62383 11.4728i 0.289640 0.501671i −0.684084 0.729403i \(-0.739798\pi\)
0.973724 + 0.227733i \(0.0731312\pi\)
\(524\) −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
\(527\) 39.8738i 1.73693i
\(528\) 8.13422 + 4.69629i 0.353996 + 0.204380i
\(529\) 10.1432 + 17.5686i 0.441011 + 0.763853i
\(530\) −0.191960 + 0.332485i −0.00833822 + 0.0144422i
\(531\) 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
\(535\) 23.4477i 1.01373i
\(536\) −18.6252 −0.804485
\(537\) −11.1240 −0.480036
\(538\) 17.5427i 0.756320i
\(539\) −8.65325 + 2.28832i −0.372722 + 0.0985649i
\(540\) −2.16701 1.25112i −0.0932532 0.0538398i
\(541\) 12.4737 7.20170i 0.536287 0.309625i −0.207286 0.978280i \(-0.566463\pi\)
0.743573 + 0.668655i \(0.233130\pi\)
\(542\) 18.1408 + 31.4208i 0.779214 + 1.34964i
\(543\) −31.7565 −1.36280
\(544\) −7.19224 4.15244i −0.308365 0.178034i
\(545\) −20.8328 −0.892377
\(546\) −13.1414 22.7909i −0.562401 0.975362i
\(547\) 2.00679 0.0858042 0.0429021 0.999079i \(-0.486340\pi\)
0.0429021 + 0.999079i \(0.486340\pi\)
\(548\) 2.90665 + 1.67816i 0.124166 + 0.0716873i
\(549\) −9.17100 −0.391409
\(550\) 6.64736 + 11.5136i 0.283445 + 0.490940i
\(551\) 3.30634 1.90892i 0.140855 0.0813226i
\(552\) −8.61757 4.97535i −0.366788 0.211765i
\(553\) 0.998300 7.48818i 0.0424521 0.318430i
\(554\) 17.0863i 0.725928i
\(555\) −7.72451 −0.327887
\(556\) −1.11499 −0.0472863
\(557\) 8.57916i 0.363511i 0.983344 + 0.181755i \(0.0581779\pi\)
−0.983344 + 0.181755i \(0.941822\pi\)
\(558\) −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
\(562\) 17.9733 31.1306i 0.758157 1.31317i
\(563\) −6.38718 11.0629i −0.269188 0.466247i 0.699465 0.714667i \(-0.253422\pi\)
−0.968652 + 0.248421i \(0.920088\pi\)
\(564\) 0.302231 + 0.174493i 0.0127262 + 0.00734750i
\(565\) 23.3059i 0.980487i
\(566\) −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
\(569\) −2.89558 + 5.01530i −0.121389 + 0.210252i −0.920316 0.391176i \(-0.872068\pi\)
0.798927 + 0.601429i \(0.205402\pi\)
\(570\) 9.28720i 0.388998i
\(571\) −22.0666 + 38.2204i −0.923458 + 1.59948i −0.129435 + 0.991588i \(0.541316\pi\)
−0.794023 + 0.607888i \(0.792017\pi\)
\(572\) 0.695710 0.535030i 0.0290891 0.0223707i
\(573\) 9.73025 0.406487
\(574\) 11.8411 + 9.11682i 0.494239 + 0.380529i
\(575\) −6.36592 11.0261i −0.265477 0.459820i
\(576\) −10.3567 −0.431529
\(577\) −10.3343 5.96649i −0.430221 0.248388i 0.269220 0.963079i \(-0.413234\pi\)
−0.699441 + 0.714691i \(0.746568\pi\)
\(578\) −49.9729 + 28.8518i −2.07860 + 1.20008i
\(579\) 43.1324i 1.79252i
\(580\) 2.74719i 0.114071i
\(581\) 3.75242 4.87372i 0.155676 0.202196i
\(582\) −0.659895 1.14297i −0.0273535 0.0473777i
\(583\) 0.0885805 + 0.0511420i 0.00366863 + 0.00211808i
\(584\) −1.12043 + 1.94064i −0.0463637 + 0.0803043i
\(585\) −12.2663 + 9.43332i −0.507150 + 0.390020i
\(586\) −7.79091 13.4943i −0.321840 0.557443i
\(587\) 17.6250 10.1758i 0.727462 0.420000i −0.0900312 0.995939i \(-0.528697\pi\)
0.817493 + 0.575939i \(0.195363\pi\)
\(588\) 1.93805 1.92541i 0.0799239 0.0794027i
\(589\) 2.43152 4.21152i 0.100189 0.173533i
\(590\) −46.4889 + 26.8404i −1.91392 + 1.10500i
\(591\) 10.3190 5.95769i 0.424468 0.245067i
\(592\) 3.27701 1.89199i 0.134684 0.0777601i
\(593\) −15.7443 + 9.09000i −0.646543 + 0.373282i −0.787130 0.616787i \(-0.788434\pi\)
0.140588 + 0.990068i \(0.455101\pi\)
\(594\) 3.16859 5.48817i 0.130009 0.225182i
\(595\) 27.8460 + 67.5385i 1.14158 + 2.76881i
\(596\) 1.72759 0.997422i 0.0707646 0.0408560i
\(597\) 10.8842 + 18.8520i 0.445460 + 0.771560i
\(598\) 6.33344 4.87068i 0.258994 0.199177i
\(599\) 19.1341 33.1412i 0.781797 1.35411i −0.149096 0.988823i \(-0.547636\pi\)
0.930894 0.365290i \(-0.119030\pi\)
\(600\) −40.4337 23.3444i −1.65070 0.953031i
\(601\) 13.4360 + 23.2718i 0.548064 + 0.949275i 0.998407 + 0.0564195i \(0.0179684\pi\)
−0.450343 + 0.892856i \(0.648698\pi\)
\(602\) −13.5142 1.80167i −0.550798 0.0734306i
\(603\) 7.60372i 0.309648i
\(604\) 0.897398i 0.0365146i
\(605\) −28.9358 + 16.7061i −1.17641 + 0.679200i
\(606\) −6.87459 3.96904i −0.279261 0.161231i
\(607\) −9.40209 −0.381619 −0.190810 0.981627i \(-0.561111\pi\)
−0.190810 + 0.981627i \(0.561111\pi\)
\(608\) −0.506435 0.877171i −0.0205386 0.0355740i
\(609\) −2.89925 + 21.7470i −0.117483 + 0.881235i
\(610\) 36.5908 1.48152
\(611\) −2.55577 + 1.96549i −0.103395 + 0.0795153i
\(612\) 0.886124 1.53481i 0.0358194 0.0620411i
\(613\) 13.2894i 0.536753i −0.963314 0.268376i \(-0.913513\pi\)
0.963314 0.268376i \(-0.0864871\pi\)
\(614\) 19.7301 34.1735i 0.796242 1.37913i
\(615\) 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 0.291368 0.956611i \(-0.405890\pi\)
−0.682765 + 0.730638i \(0.739223\pi\)
\(618\) 31.2606i 1.25748i
\(619\) 8.04109 + 4.64253i 0.323199 + 0.186599i 0.652817 0.757515i \(-0.273587\pi\)
−0.329619 + 0.944114i \(0.606920\pi\)
\(620\) −1.74965 3.03048i −0.0702675 0.121707i
\(621\) −3.03444 + 5.25580i −0.121768 + 0.210908i
\(622\) −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
\(626\) 14.1533i 0.565680i
\(627\) −2.47429 −0.0988137
\(628\) 1.71370 0.0683839
\(629\) 8.17322i 0.325888i
\(630\) 12.1032 + 9.31862i 0.482204 + 0.371263i
\(631\) 9.00894 + 5.20132i 0.358640 + 0.207061i 0.668484 0.743726i \(-0.266943\pi\)
−0.309844 + 0.950787i \(0.600277\pi\)
\(632\) 7.28611 4.20664i 0.289826 0.167331i
\(633\) 4.78237 + 8.28331i 0.190082 + 0.329232i
\(634\) −2.02693 −0.0804998
\(635\) −45.4704 26.2523i −1.80444 1.04179i
\(636\) −0.0312187 −0.00123790
\(637\) 9.60734 + 23.3388i 0.380657 + 0.924716i
\(638\) 6.95754 0.275452
\(639\) 11.9011 + 6.87109i 0.470800 + 0.271816i
\(640\) 33.6644 1.33070
\(641\) 7.42955 + 12.8684i 0.293449 + 0.508269i 0.974623 0.223853i \(-0.0718634\pi\)
−0.681174 + 0.732122i \(0.738530\pi\)
\(642\) 15.6965 9.06239i 0.619492 0.357664i
\(643\) 1.98945 + 1.14861i 0.0784563 + 0.0452968i 0.538715 0.842488i \(-0.318910\pi\)
−0.460259 + 0.887785i \(0.652243\pi\)
\(644\) 0.657395 + 0.506147i 0.0259050 + 0.0199450i
\(645\) 28.0185i 1.10323i
\(646\) −9.82669 −0.386626
\(647\) −7.99865 −0.314459 −0.157230 0.987562i \(-0.550256\pi\)
−0.157230 + 0.987562i \(0.550256\pi\)
\(648\) 32.8885i 1.29198i
\(649\) 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
\(653\) −1.99222 + 3.45062i −0.0779615 + 0.135033i −0.902370 0.430962i \(-0.858174\pi\)
0.824409 + 0.565995i \(0.191508\pi\)
\(654\) 8.05175 + 13.9460i 0.314848 + 0.545333i
\(655\) 34.5645 + 19.9558i 1.35055 + 0.779738i
\(656\) 15.0445i 0.587389i
\(657\) −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 −0.463504 0.886095i \(-0.653408\pi\)
0.999133 0.0416417i \(-0.0132588\pi\)
\(660\) −0.890211 + 1.54189i −0.0346514 + 0.0600180i
\(661\) 6.98621i 0.271732i −0.990727 0.135866i \(-0.956618\pi\)
0.990727 0.135866i \(-0.0433817\pi\)
\(662\) 16.9841 29.4173i 0.660105 1.14333i
\(663\) 34.8739 + 45.3472i 1.35439 + 1.76114i
\(664\) 6.85019 0.265839
\(665\) −1.17739 + 8.83155i −0.0456574 + 0.342473i
\(666\) 0.854479 + 1.48000i 0.0331104 + 0.0573488i
\(667\) −6.66296 −0.257991
\(668\) 3.20195 + 1.84865i 0.123887 + 0.0715263i
\(669\) 43.0108 24.8323i 1.66289 0.960071i
\(670\) 30.3376i 1.17204i
\(671\) 9.74849i 0.376336i
\(672\) 5.76948 + 0.769169i 0.222563 + 0.0296713i
\(673\) 2.72783 + 4.72474i 0.105150 + 0.182125i 0.913800 0.406166i \(-0.133134\pi\)
−0.808649 + 0.588291i \(0.799801\pi\)
\(674\) 37.4910 + 21.6455i 1.44410 + 0.833752i
\(675\) −14.2376 + 24.6603i −0.548006 + 0.949174i
\(676\) −1.75369 1.74614i −0.0674497 0.0671594i
\(677\) −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
\(679\) 0.482618 + 1.17056i 0.0185212 + 0.0449218i
\(680\) −40.6795 + 70.4590i −1.55999 + 2.70198i
\(681\) −27.2979 + 15.7605i −1.04606 + 0.603942i
\(682\) 7.67498 4.43115i 0.293890 0.169678i
\(683\) −10.6511 + 6.14942i −0.407553 + 0.235301i −0.689738 0.724059i \(-0.742274\pi\)
0.282185 + 0.959360i \(0.408941\pi\)
\(684\) 0.187187 0.108072i 0.00715726 0.00413225i
\(685\) 31.4514 54.4754i 1.20170 2.08140i
\(686\) 19.8397 15.0695i 0.757485 0.575355i
\(687\) 29.0311 16.7611i 1.10760 0.639476i
\(688\) −6.86265 11.8865i −0.261636 0.453167i
\(689\) 0.110085 0.266581i 0.00419389 0.0101559i
\(690\) −8.10410 + 14.0367i −0.308518 + 0.534369i
\(691\) 9.60393 + 5.54483i 0.365351 + 0.210935i 0.671425 0.741072i \(-0.265682\pi\)
−0.306075 + 0.952008i \(0.599016\pi\)
\(692\) 1.36869 + 2.37064i 0.0520297 + 0.0901181i
\(693\) 2.48266 3.22454i 0.0943086 0.122490i
\(694\) 33.3129i 1.26454i
\(695\) 20.8968i 0.792662i
\(696\) −21.1602 + 12.2168i −0.802075 + 0.463078i
\(697\) −28.1419 16.2478i −1.06595 0.615428i
\(698\) −15.5449 −0.588385
\(699\) −29.8400 51.6844i −1.12865 1.95488i
\(700\) 3.08450 + 2.37485i 0.116583 + 0.0897608i
\(701\) 10.6470 0.402133 0.201066 0.979578i \(-0.435559\pi\)
0.201066 + 0.979578i \(0.435559\pi\)
\(702\) −16.5165 6.82050i −0.623375 0.257423i
\(703\) −0.498406 + 0.863265i −0.0187977 + 0.0325587i
\(704\) 11.0089i 0.414912i
\(705\) 3.27029 5.66431i 0.123166 0.213330i
\(706\) −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
\(709\) 40.7069i 1.52878i 0.644754 + 0.764391i \(0.276960\pi\)
−0.644754 + 0.764391i \(0.723040\pi\)
\(710\) −47.4833 27.4145i −1.78202 1.02885i
\(711\) 1.71736 + 2.97455i 0.0644060 + 0.111554i
\(712\) 11.1619 19.3329i 0.418309 0.724532i
\(713\) −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
\(717\) 17.7418i 0.662579i
\(718\) −20.2470 −0.755612
\(719\) 9.77537 0.364560 0.182280 0.983247i \(-0.441652\pi\)
0.182280 + 0.983247i \(0.441652\pi\)
\(720\) 15.3775i 0.573086i
\(721\) −3.96309 + 29.7269i −0.147593 + 1.10709i
\(722\) 21.0971 + 12.1804i 0.785153 + 0.453308i
\(723\) 32.3098 18.6541i 1.20161 0.693752i
\(724\) 1.47441 + 2.55375i 0.0547959 + 0.0949092i
\(725\) −31.2627 −1.16107
\(726\) 22.3671 + 12.9136i 0.830120 + 0.479270i
\(727\) −12.2091 −0.452811 −0.226406 0.974033i \(-0.572697\pi\)
−0.226406 + 0.974033i \(0.572697\pi\)
\(728\) −14.0677 + 24.3346i −0.521382 + 0.901899i
\(729\) 9.23219 0.341933
\(730\) 3.16101 + 1.82501i 0.116994 + 0.0675467i
\(731\) 29.6461 1.09650
\(732\) 1.48770 + 2.57677i 0.0549869 + 0.0952400i
\(733\) 19.3256 11.1577i 0.713809 0.412118i −0.0986608 0.995121i \(-0.531456\pi\)
0.812470 + 0.583003i \(0.198123\pi\)
\(734\) 10.4891 + 6.05591i 0.387161 + 0.223528i
\(735\) −36.0854 36.3222i −1.33103 1.33977i
\(736\) 1.76768i 0.0651576i
\(737\) 8.08253 0.297724
\(738\) −6.79456 −0.250111
\(739\) 42.3729i 1.55871i 0.626580 + 0.779357i \(0.284454\pi\)
−0.626580 + 0.779357i \(0.715546\pi\)
\(740\) 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 −0.903560 0.428461i \(-0.859056\pi\)
−0.0807220 + 0.996737i \(0.525723\pi\)
\(744\) −15.5615 + 26.9532i −0.570511 + 0.988153i
\(745\) −18.6933 32.3778i −0.684870 1.18623i
\(746\) −18.8020 10.8553i −0.688390 0.397442i
\(747\) 2.79659i 0.102322i
\(748\) 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
\(751\) 11.2830 19.5427i 0.411722 0.713123i −0.583356 0.812216i \(-0.698261\pi\)
0.995078 + 0.0990930i \(0.0315941\pi\)
\(752\) 3.20400i 0.116838i
\(753\) 16.2696 28.1798i 0.592897 1.02693i
\(754\) −2.58172 19.4480i −0.0940206 0.708254i
\(755\) −16.8187 −0.612095
\(756\) 0.245212 1.83931i 0.00891826 0.0668952i
\(757\) −16.1404 27.9560i −0.586633 1.01608i −0.994670 0.103112i \(-0.967120\pi\)
0.408037 0.912965i \(-0.366213\pi\)
\(758\) −21.0737 −0.765431
\(759\) 3.73966 + 2.15909i 0.135741 + 0.0783701i
\(760\) −8.59323 + 4.96130i −0.311709 + 0.179965i
\(761\) 29.7517i 1.07850i −0.842147 0.539249i \(-0.818708\pi\)
0.842147 0.539249i \(-0.181292\pi\)
\(762\) 40.5855i 1.47026i
\(763\) −5.88869 14.2826i −0.213185 0.517064i
\(764\) −0.451761 0.782473i −0.0163441 0.0283089i
\(765\) −28.7649 16.6074i −1.04000 0.600442i
\(766\) −16.5684 + 28.6972i −0.598639 + 1.03687i
\(767\) 31.9672 24.5841i 1.15427 0.887680i
\(768\) 4.63947 + 8.03581i 0.167413 + 0.289967i
\(769\) −36.2090 + 20.9053i −1.30573 + 0.753863i −0.981380 0.192075i \(-0.938478\pi\)
−0.324349 + 0.945938i \(0.605145\pi\)
\(770\) −9.90541 + 12.8654i −0.356966 + 0.463635i
\(771\) −24.9361 + 43.1907i −0.898053 + 1.55547i
\(772\) −3.46856 + 2.00257i −0.124836 + 0.0720742i
\(773\) 35.8826 20.7168i 1.29061 0.745132i 0.311845 0.950133i \(-0.399053\pi\)
0.978762 + 0.205001i \(0.0657198\pi\)
\(774\) 5.36829 3.09938i 0.192959 0.111405i
\(775\) −34.4864 + 19.9107i