Properties

Label 546.2.bv.a.515.33
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.33
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.33

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(1.59559 - 0.673858i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.579405 + 0.155251i) q^{5} +(1.71563 - 0.237927i) q^{6} +(0.0183841 + 2.64569i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.09183 - 2.15041i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(1.59559 - 0.673858i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.579405 + 0.155251i) q^{5} +(1.71563 - 0.237927i) q^{6} +(0.0183841 + 2.64569i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.09183 - 2.15041i) q^{9} +(0.519481 + 0.299922i) q^{10} +(-3.10273 + 0.831373i) q^{11} +(1.71875 + 0.214218i) q^{12} +(3.60424 + 0.0973883i) q^{13} +(-0.666997 + 2.56030i) q^{14} +(1.02911 - 0.142719i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-2.59410 + 4.49310i) q^{17} +(2.57712 - 1.53573i) q^{18} +(2.15080 - 8.02689i) q^{19} +(0.424154 + 0.424154i) q^{20} +(1.81215 + 4.20905i) q^{21} -3.21218 q^{22} +(0.637898 + 1.10487i) q^{23} +(1.60474 + 0.651764i) q^{24} +(-4.01852 - 2.32009i) q^{25} +(3.45622 + 1.02691i) q^{26} +(1.88864 - 4.84077i) q^{27} +(-1.30692 + 2.30042i) q^{28} -4.10654i q^{29} +(1.03098 + 0.128497i) q^{30} +(-5.29917 + 1.41991i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-4.39046 + 3.41733i) q^{33} +(-3.66860 + 3.66860i) q^{34} +(-0.400094 + 1.53578i) q^{35} +(2.88678 - 0.816391i) q^{36} +(3.77455 + 1.01139i) q^{37} +(4.15502 - 7.19671i) q^{38} +(5.81652 - 2.27335i) q^{39} +(0.299922 + 0.519481i) q^{40} +(-5.19752 + 5.19752i) q^{41} +(0.661022 + 4.53465i) q^{42} -9.47120i q^{43} +(-3.10273 - 0.831373i) q^{44} +(1.54587 - 0.921198i) q^{45} +(0.330201 + 1.23233i) q^{46} +(1.48819 - 5.55402i) q^{47} +(1.38137 + 1.04489i) q^{48} +(-6.99932 + 0.0972771i) q^{49} +(-3.28111 - 3.28111i) q^{50} +(-1.11140 + 8.91722i) q^{51} +(3.07267 + 1.88646i) q^{52} +(1.48181 + 0.855522i) q^{53} +(3.07717 - 4.18701i) q^{54} -1.92681 q^{55} +(-1.85778 + 1.88378i) q^{56} +(-1.97719 - 14.2570i) q^{57} +(1.06285 - 3.96661i) q^{58} +(-3.14252 + 0.842037i) q^{59} +(0.962597 + 0.390957i) q^{60} +(0.398128 + 0.689579i) q^{61} -5.48610 q^{62} +(5.72776 + 5.49480i) q^{63} +1.00000i q^{64} +(2.07319 + 0.615989i) q^{65} +(-5.12533 + 2.16455i) q^{66} +(6.42620 - 1.72190i) q^{67} +(-4.49310 + 2.59410i) q^{68} +(1.76235 + 1.33307i) q^{69} +(-0.783950 + 1.37990i) q^{70} +(-8.81512 + 8.81512i) q^{71} +(2.99971 - 0.0414195i) q^{72} +(1.65075 + 6.16069i) q^{73} +(3.38417 + 1.95385i) q^{74} +(-7.97533 - 0.994011i) q^{75} +(5.87609 - 5.87609i) q^{76} +(-2.25659 - 8.19356i) q^{77} +(6.20671 - 0.690464i) q^{78} +(-2.17550 - 3.76807i) q^{79} +(0.155251 + 0.579405i) q^{80} +(-0.248493 - 8.99657i) q^{81} +(-6.36563 + 3.67520i) q^{82} +(-9.60558 + 9.60558i) q^{83} +(-0.535156 + 4.55122i) q^{84} +(-2.20059 + 2.20059i) q^{85} +(2.45133 - 9.14848i) q^{86} +(-2.76723 - 6.55236i) q^{87} +(-2.78183 - 1.60609i) q^{88} +(-3.10650 + 11.5936i) q^{89} +(1.73162 - 0.489708i) q^{90} +(-0.191398 + 9.53747i) q^{91} +1.27580i q^{92} +(-7.49849 + 5.83648i) q^{93} +(2.87497 - 4.97960i) q^{94} +(2.49237 - 4.31691i) q^{95} +(1.06387 + 1.36682i) q^{96} +(9.09518 + 9.09518i) q^{97} +(-6.78601 - 1.71760i) q^{98} +(-4.70259 + 8.41121i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) 1.59559 0.673858i 0.921216 0.389052i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 0.579405 + 0.155251i 0.259118 + 0.0694304i 0.386039 0.922482i \(-0.373843\pi\)
−0.126921 + 0.991913i \(0.540510\pi\)
\(6\) 1.71563 0.237927i 0.700404 0.0971334i
\(7\) 0.0183841 + 2.64569i 0.00694853 + 0.999976i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 2.09183 2.15041i 0.697277 0.716802i
\(10\) 0.519481 + 0.299922i 0.164274 + 0.0948438i
\(11\) −3.10273 + 0.831373i −0.935507 + 0.250668i −0.694201 0.719781i \(-0.744242\pi\)
−0.241306 + 0.970449i \(0.577576\pi\)
\(12\) 1.71875 + 0.214218i 0.496161 + 0.0618394i
\(13\) 3.60424 + 0.0973883i 0.999635 + 0.0270106i
\(14\) −0.666997 + 2.56030i −0.178262 + 0.684268i
\(15\) 1.02911 0.142719i 0.265716 0.0368500i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −2.59410 + 4.49310i −0.629160 + 1.08974i 0.358560 + 0.933507i \(0.383268\pi\)
−0.987721 + 0.156231i \(0.950066\pi\)
\(18\) 2.57712 1.53573i 0.607433 0.361974i
\(19\) 2.15080 8.02689i 0.493427 1.84149i −0.0452411 0.998976i \(-0.514406\pi\)
0.538668 0.842518i \(-0.318928\pi\)
\(20\) 0.424154 + 0.424154i 0.0948438 + 0.0948438i
\(21\) 1.81215 + 4.20905i 0.395444 + 0.918490i
\(22\) −3.21218 −0.684839
\(23\) 0.637898 + 1.10487i 0.133011 + 0.230382i 0.924836 0.380366i \(-0.124202\pi\)
−0.791825 + 0.610748i \(0.790869\pi\)
\(24\) 1.60474 + 0.651764i 0.327567 + 0.133041i
\(25\) −4.01852 2.32009i −0.803704 0.464019i
\(26\) 3.45622 + 1.02691i 0.677820 + 0.201395i
\(27\) 1.88864 4.84077i 0.363469 0.931606i
\(28\) −1.30692 + 2.30042i −0.246985 + 0.434739i
\(29\) 4.10654i 0.762565i −0.924459 0.381283i \(-0.875483\pi\)
0.924459 0.381283i \(-0.124517\pi\)
\(30\) 1.03098 + 0.128497i 0.188231 + 0.0234603i
\(31\) −5.29917 + 1.41991i −0.951758 + 0.255023i −0.701108 0.713055i \(-0.747311\pi\)
−0.250650 + 0.968078i \(0.580644\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −4.39046 + 3.41733i −0.764281 + 0.594881i
\(34\) −3.66860 + 3.66860i −0.629160 + 0.629160i
\(35\) −0.400094 + 1.53578i −0.0676283 + 0.259594i
\(36\) 2.88678 0.816391i 0.481130 0.136065i
\(37\) 3.77455 + 1.01139i 0.620532 + 0.166271i 0.555370 0.831604i \(-0.312577\pi\)
0.0651624 + 0.997875i \(0.479243\pi\)
\(38\) 4.15502 7.19671i 0.674034 1.16746i
\(39\) 5.81652 2.27335i 0.931388 0.364028i
\(40\) 0.299922 + 0.519481i 0.0474219 + 0.0821371i
\(41\) −5.19752 + 5.19752i −0.811716 + 0.811716i −0.984891 0.173175i \(-0.944597\pi\)
0.173175 + 0.984891i \(0.444597\pi\)
\(42\) 0.661022 + 4.53465i 0.101998 + 0.699712i
\(43\) 9.47120i 1.44434i −0.691713 0.722172i \(-0.743144\pi\)
0.691713 0.722172i \(-0.256856\pi\)
\(44\) −3.10273 0.831373i −0.467754 0.125334i
\(45\) 1.54587 0.921198i 0.230445 0.137324i
\(46\) 0.330201 + 1.23233i 0.0486854 + 0.181696i
\(47\) 1.48819 5.55402i 0.217075 0.810137i −0.768350 0.640030i \(-0.778922\pi\)
0.985426 0.170107i \(-0.0544113\pi\)
\(48\) 1.38137 + 1.04489i 0.199384 + 0.150818i
\(49\) −6.99932 + 0.0972771i −0.999903 + 0.0138967i
\(50\) −3.28111 3.28111i −0.464019 0.464019i
\(51\) −1.11140 + 8.91722i −0.155628 + 1.24866i
\(52\) 3.07267 + 1.88646i 0.426102 + 0.261605i
\(53\) 1.48181 + 0.855522i 0.203542 + 0.117515i 0.598306 0.801267i \(-0.295841\pi\)
−0.394765 + 0.918782i \(0.629174\pi\)
\(54\) 3.07717 4.18701i 0.418750 0.569780i
\(55\) −1.92681 −0.259811
\(56\) −1.85778 + 1.88378i −0.248257 + 0.251731i
\(57\) −1.97719 14.2570i −0.261885 1.88838i
\(58\) 1.06285 3.96661i 0.139559 0.520842i
\(59\) −3.14252 + 0.842037i −0.409122 + 0.109624i −0.457509 0.889205i \(-0.651258\pi\)
0.0483876 + 0.998829i \(0.484592\pi\)
\(60\) 0.962597 + 0.390957i 0.124271 + 0.0504724i
\(61\) 0.398128 + 0.689579i 0.0509751 + 0.0882915i 0.890387 0.455204i \(-0.150434\pi\)
−0.839412 + 0.543496i \(0.817100\pi\)
\(62\) −5.48610 −0.696736
\(63\) 5.72776 + 5.49480i 0.721630 + 0.692279i
\(64\) 1.00000i 0.125000i
\(65\) 2.07319 + 0.615989i 0.257148 + 0.0764041i
\(66\) −5.12533 + 2.16455i −0.630884 + 0.266438i
\(67\) 6.42620 1.72190i 0.785085 0.210363i 0.156060 0.987748i \(-0.450121\pi\)
0.629026 + 0.777385i \(0.283454\pi\)
\(68\) −4.49310 + 2.59410i −0.544869 + 0.314580i
\(69\) 1.76235 + 1.33307i 0.212162 + 0.160483i
\(70\) −0.783950 + 1.37990i −0.0937000 + 0.164929i
\(71\) −8.81512 + 8.81512i −1.04616 + 1.04616i −0.0472805 + 0.998882i \(0.515055\pi\)
−0.998882 + 0.0472805i \(0.984945\pi\)
\(72\) 2.99971 0.0414195i 0.353520 0.00488133i
\(73\) 1.65075 + 6.16069i 0.193206 + 0.721054i 0.992724 + 0.120412i \(0.0384216\pi\)
−0.799518 + 0.600642i \(0.794912\pi\)
\(74\) 3.38417 + 1.95385i 0.393401 + 0.227130i
\(75\) −7.97533 0.994011i −0.920912 0.114778i
\(76\) 5.87609 5.87609i 0.674034 0.674034i
\(77\) −2.25659 8.19356i −0.257163 0.933743i
\(78\) 6.20671 0.690464i 0.702772 0.0781797i
\(79\) −2.17550 3.76807i −0.244763 0.423942i 0.717302 0.696762i \(-0.245377\pi\)
−0.962065 + 0.272821i \(0.912043\pi\)
\(80\) 0.155251 + 0.579405i 0.0173576 + 0.0647795i
\(81\) −0.248493 8.99657i −0.0276104 0.999619i
\(82\) −6.36563 + 3.67520i −0.702966 + 0.405858i
\(83\) −9.60558 + 9.60558i −1.05435 + 1.05435i −0.0559134 + 0.998436i \(0.517807\pi\)
−0.998436 + 0.0559134i \(0.982193\pi\)
\(84\) −0.535156 + 4.55122i −0.0583903 + 0.496579i
\(85\) −2.20059 + 2.20059i −0.238688 + 0.238688i
\(86\) 2.45133 9.14848i 0.264333 0.986506i
\(87\) −2.76723 6.55236i −0.296678 0.702487i
\(88\) −2.78183 1.60609i −0.296544 0.171210i
\(89\) −3.10650 + 11.5936i −0.329288 + 1.22892i 0.580642 + 0.814159i \(0.302802\pi\)
−0.909930 + 0.414762i \(0.863865\pi\)
\(90\) 1.73162 0.489708i 0.182529 0.0516197i
\(91\) −0.191398 + 9.53747i −0.0200640 + 0.999799i
\(92\) 1.27580i 0.133011i
\(93\) −7.49849 + 5.83648i −0.777558 + 0.605215i
\(94\) 2.87497 4.97960i 0.296531 0.513606i
\(95\) 2.49237 4.31691i 0.255712 0.442905i
\(96\) 1.06387 + 1.36682i 0.108580 + 0.139500i
\(97\) 9.09518 + 9.09518i 0.923475 + 0.923475i 0.997273 0.0737979i \(-0.0235120\pi\)
−0.0737979 + 0.997273i \(0.523512\pi\)
\(98\) −6.78601 1.71760i −0.685490 0.173503i
\(99\) −4.70259 + 8.41121i −0.472628 + 0.845359i
\(100\) −2.32009 4.01852i −0.232009 0.401852i
\(101\) 5.76486 9.98503i 0.573625 0.993548i −0.422564 0.906333i \(-0.638870\pi\)
0.996190 0.0872149i \(-0.0277967\pi\)
\(102\) −3.38148 + 8.32572i −0.334816 + 0.824369i
\(103\) 0.364990 0.210727i 0.0359636 0.0207636i −0.481910 0.876220i \(-0.660057\pi\)
0.517874 + 0.855457i \(0.326724\pi\)
\(104\) 2.47972 + 2.61744i 0.243156 + 0.256661i
\(105\) 0.396510 + 2.72009i 0.0386954 + 0.265453i
\(106\) 1.20989 + 1.20989i 0.117515 + 0.117515i
\(107\) 11.0489 6.37909i 1.06814 0.616690i 0.140466 0.990086i \(-0.455140\pi\)
0.927672 + 0.373396i \(0.121807\pi\)
\(108\) 4.05599 3.24791i 0.390288 0.312530i
\(109\) −6.59696 + 1.76765i −0.631874 + 0.169310i −0.560520 0.828141i \(-0.689399\pi\)
−0.0713542 + 0.997451i \(0.522732\pi\)
\(110\) −1.86115 0.498695i −0.177454 0.0475487i
\(111\) 6.70417 0.929749i 0.636332 0.0882479i
\(112\) −2.28204 + 1.33876i −0.215633 + 0.126501i
\(113\) 16.8438i 1.58453i −0.610175 0.792267i \(-0.708901\pi\)
0.610175 0.792267i \(-0.291099\pi\)
\(114\) 1.78016 14.2829i 0.166727 1.33772i
\(115\) 0.198069 + 0.739204i 0.0184700 + 0.0689311i
\(116\) 2.05327 3.55637i 0.190641 0.330200i
\(117\) 7.74887 7.54685i 0.716384 0.697707i
\(118\) −3.25338 −0.299498
\(119\) −11.9350 6.78056i −1.09408 0.621573i
\(120\) 0.828610 + 0.626774i 0.0756414 + 0.0572164i
\(121\) −0.590549 + 0.340954i −0.0536863 + 0.0309958i
\(122\) 0.206086 + 0.769125i 0.0186582 + 0.0696333i
\(123\) −4.79073 + 11.7955i −0.431965 + 1.06357i
\(124\) −5.29917 1.41991i −0.475879 0.127511i
\(125\) −4.08893 4.08893i −0.365725 0.365725i
\(126\) 4.11043 + 6.79002i 0.366186 + 0.604903i
\(127\) 2.45849i 0.218155i −0.994033 0.109078i \(-0.965210\pi\)
0.994033 0.109078i \(-0.0347897\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) −6.38225 15.1122i −0.561925 1.33055i
\(130\) 1.84312 + 1.13158i 0.161652 + 0.0992463i
\(131\) −18.1910 + 10.5026i −1.58936 + 0.917616i −0.595944 + 0.803026i \(0.703222\pi\)
−0.993413 + 0.114590i \(0.963445\pi\)
\(132\) −5.51091 + 0.764265i −0.479664 + 0.0665208i
\(133\) 21.2762 + 5.54277i 1.84488 + 0.480619i
\(134\) 6.65289 0.574722
\(135\) 1.84582 2.51155i 0.158863 0.216160i
\(136\) −5.01141 + 1.34280i −0.429725 + 0.115144i
\(137\) 5.66907 1.51902i 0.484342 0.129779i −0.00838191 0.999965i \(-0.502668\pi\)
0.492723 + 0.870186i \(0.336001\pi\)
\(138\) 1.35728 + 1.74378i 0.115539 + 0.148440i
\(139\) 3.39367 0.287847 0.143923 0.989589i \(-0.454028\pi\)
0.143923 + 0.989589i \(0.454028\pi\)
\(140\) −1.11438 + 1.12998i −0.0941824 + 0.0955005i
\(141\) −1.36807 9.86478i −0.115212 0.830764i
\(142\) −10.7963 + 6.23323i −0.906003 + 0.523081i
\(143\) −11.2639 + 2.69430i −0.941937 + 0.225308i
\(144\) 2.90822 + 0.736375i 0.242352 + 0.0613646i
\(145\) 0.637545 2.37935i 0.0529452 0.197594i
\(146\) 6.37801i 0.527848i
\(147\) −11.1025 + 4.87177i −0.915720 + 0.401817i
\(148\) 2.76316 + 2.76316i 0.227130 + 0.227130i
\(149\) 21.0577 + 5.64239i 1.72511 + 0.462242i 0.979048 0.203631i \(-0.0652743\pi\)
0.746065 + 0.665873i \(0.231941\pi\)
\(150\) −7.44631 3.02431i −0.607989 0.246934i
\(151\) −2.93466 10.9523i −0.238819 0.891286i −0.976390 0.216016i \(-0.930694\pi\)
0.737571 0.675270i \(-0.235973\pi\)
\(152\) 7.19671 4.15502i 0.583730 0.337017i
\(153\) 4.23559 + 14.9772i 0.342427 + 1.21083i
\(154\) −0.0590530 8.49842i −0.00475862 0.684822i
\(155\) −3.29081 −0.264324
\(156\) 6.17393 + 0.939478i 0.494310 + 0.0752184i
\(157\) −11.9352 + 20.6724i −0.952533 + 1.64984i −0.212619 + 0.977135i \(0.568199\pi\)
−0.739915 + 0.672701i \(0.765134\pi\)
\(158\) −1.12612 4.20274i −0.0895894 0.334352i
\(159\) 2.94086 + 0.366536i 0.233225 + 0.0290682i
\(160\) 0.599845i 0.0474219i
\(161\) −2.91142 + 1.70799i −0.229452 + 0.134609i
\(162\) 2.08846 8.75433i 0.164085 0.687805i
\(163\) −1.30429 0.349483i −0.102160 0.0273737i 0.207377 0.978261i \(-0.433507\pi\)
−0.309537 + 0.950887i \(0.600174\pi\)
\(164\) −7.09994 + 1.90242i −0.554412 + 0.148554i
\(165\) −3.07440 + 1.29840i −0.239342 + 0.101080i
\(166\) −11.7644 + 6.79217i −0.913093 + 0.527175i
\(167\) −0.236454 0.236454i −0.0182973 0.0182973i 0.697899 0.716196i \(-0.254118\pi\)
−0.716196 + 0.697899i \(0.754118\pi\)
\(168\) −1.69486 + 4.25763i −0.130762 + 0.328484i
\(169\) 12.9810 + 0.702021i 0.998541 + 0.0540016i
\(170\) −2.69516 + 1.55605i −0.206710 + 0.119344i
\(171\) −12.7620 21.4160i −0.975932 1.63772i
\(172\) 4.73560 8.20230i 0.361086 0.625420i
\(173\) −12.6750 21.9538i −0.963663 1.66911i −0.713166 0.700996i \(-0.752739\pi\)
−0.250497 0.968117i \(-0.580594\pi\)
\(174\) −0.977058 7.04531i −0.0740706 0.534103i
\(175\) 6.06436 10.6744i 0.458423 0.806909i
\(176\) −2.27135 2.27135i −0.171210 0.171210i
\(177\) −4.44678 + 3.46116i −0.334240 + 0.260157i
\(178\) −6.00130 + 10.3946i −0.449816 + 0.779105i
\(179\) 1.48007 2.56356i 0.110626 0.191609i −0.805397 0.592736i \(-0.798048\pi\)
0.916023 + 0.401126i \(0.131381\pi\)
\(180\) 1.79936 0.0248453i 0.134117 0.00185186i
\(181\) 0.717545i 0.0533347i 0.999644 + 0.0266674i \(0.00848949\pi\)
−0.999644 + 0.0266674i \(0.991511\pi\)
\(182\) −2.65336 + 9.16295i −0.196680 + 0.679203i
\(183\) 1.09993 + 0.832004i 0.0813091 + 0.0615035i
\(184\) −0.330201 + 1.23233i −0.0243427 + 0.0908482i
\(185\) 2.02997 + 1.17201i 0.149247 + 0.0861676i
\(186\) −8.75358 + 3.69685i −0.641844 + 0.271067i
\(187\) 4.31332 16.0975i 0.315421 1.17717i
\(188\) 4.06582 4.06582i 0.296531 0.296531i
\(189\) 12.8419 + 4.90776i 0.934109 + 0.356987i
\(190\) 3.52474 3.52474i 0.255712 0.255712i
\(191\) 12.6313 7.29268i 0.913968 0.527680i 0.0322624 0.999479i \(-0.489729\pi\)
0.881706 + 0.471800i \(0.156395\pi\)
\(192\) 0.673858 + 1.59559i 0.0486315 + 0.115152i
\(193\) 5.24169 + 19.5623i 0.377305 + 1.40812i 0.849947 + 0.526868i \(0.176634\pi\)
−0.472642 + 0.881255i \(0.656699\pi\)
\(194\) 6.43126 + 11.1393i 0.461738 + 0.799753i
\(195\) 3.72306 0.414171i 0.266614 0.0296594i
\(196\) −6.11023 3.41542i −0.436445 0.243958i
\(197\) 0.904894 0.904894i 0.0644710 0.0644710i −0.674136 0.738607i \(-0.735484\pi\)
0.738607 + 0.674136i \(0.235484\pi\)
\(198\) −6.71933 + 6.90749i −0.477522 + 0.490894i
\(199\) −2.41271 1.39298i −0.171032 0.0987456i 0.412040 0.911166i \(-0.364816\pi\)
−0.583073 + 0.812420i \(0.698150\pi\)
\(200\) −1.20097 4.48208i −0.0849213 0.316931i
\(201\) 9.09328 7.07779i 0.641391 0.499229i
\(202\) 8.15274 8.15274i 0.573625 0.573625i
\(203\) 10.8646 0.0754949i 0.762547 0.00529871i
\(204\) −5.42111 + 7.16683i −0.379554 + 0.501779i
\(205\) −3.81839 + 2.20455i −0.266688 + 0.153972i
\(206\) 0.407094 0.109080i 0.0283636 0.00760000i
\(207\) 3.71030 + 0.939465i 0.257884 + 0.0652973i
\(208\) 1.71778 + 3.17005i 0.119106 + 0.219804i
\(209\) 26.6934i 1.84642i
\(210\) −0.321010 + 2.73002i −0.0221518 + 0.188390i
\(211\) 2.68634 0.184935 0.0924677 0.995716i \(-0.470524\pi\)
0.0924677 + 0.995716i \(0.470524\pi\)
\(212\) 0.855522 + 1.48181i 0.0587575 + 0.101771i
\(213\) −8.12520 + 20.0055i −0.556729 + 1.37075i
\(214\) 12.3235 3.30206i 0.842414 0.225724i
\(215\) 1.47042 5.48766i 0.100281 0.374256i
\(216\) 4.75841 2.08747i 0.323769 0.142034i
\(217\) −3.85405 13.9938i −0.261630 0.949963i
\(218\) −6.82968 −0.462564
\(219\) 6.78536 + 8.71757i 0.458512 + 0.589079i
\(220\) −1.66866 0.963404i −0.112501 0.0649527i
\(221\) −9.78731 + 15.9416i −0.658365 + 1.07235i
\(222\) 6.71637 + 0.837099i 0.450773 + 0.0561824i
\(223\) 2.18383 + 2.18383i 0.146240 + 0.146240i 0.776436 0.630196i \(-0.217025\pi\)
−0.630196 + 0.776436i \(0.717025\pi\)
\(224\) −2.55078 + 0.702512i −0.170431 + 0.0469386i
\(225\) −13.3952 + 3.78821i −0.893014 + 0.252547i
\(226\) 4.35950 16.2699i 0.289990 1.08226i
\(227\) −5.50302 20.5375i −0.365248 1.36312i −0.867084 0.498162i \(-0.834009\pi\)
0.501836 0.864963i \(-0.332658\pi\)
\(228\) 5.41619 13.3355i 0.358696 0.883165i
\(229\) 4.13582 + 1.10819i 0.273303 + 0.0732312i 0.392867 0.919595i \(-0.371483\pi\)
−0.119565 + 0.992826i \(0.538150\pi\)
\(230\) 0.765280i 0.0504611i
\(231\) −9.12190 11.5530i −0.600177 0.760129i
\(232\) 2.90376 2.90376i 0.190641 0.190641i
\(233\) 7.18694 + 12.4481i 0.470832 + 0.815505i 0.999443 0.0333591i \(-0.0106205\pi\)
−0.528612 + 0.848864i \(0.677287\pi\)
\(234\) 9.43811 5.28414i 0.616988 0.345435i
\(235\) 1.72454 2.98698i 0.112496 0.194849i
\(236\) −3.14252 0.842037i −0.204561 0.0548119i
\(237\) −6.01036 4.54633i −0.390415 0.295316i
\(238\) −9.77342 9.63854i −0.633517 0.624774i
\(239\) 7.07117 7.07117i 0.457396 0.457396i −0.440404 0.897800i \(-0.645165\pi\)
0.897800 + 0.440404i \(0.145165\pi\)
\(240\) 0.638155 + 0.819878i 0.0411927 + 0.0529229i
\(241\) 2.14060 + 7.98882i 0.137888 + 0.514605i 0.999969 + 0.00783522i \(0.00249405\pi\)
−0.862081 + 0.506770i \(0.830839\pi\)
\(242\) −0.658672 + 0.176491i −0.0423411 + 0.0113453i
\(243\) −6.45891 14.1874i −0.414339 0.910123i
\(244\) 0.796257i 0.0509751i
\(245\) −4.07055 1.03029i −0.260058 0.0658229i
\(246\) −7.68039 + 10.1537i −0.489684 + 0.647373i
\(247\) 8.53371 28.7213i 0.542987 1.82749i
\(248\) −4.75110 2.74305i −0.301695 0.174184i
\(249\) −8.85379 + 21.7994i −0.561086 + 1.38148i
\(250\) −2.89131 5.00789i −0.182862 0.316727i
\(251\) 25.4886 1.60882 0.804412 0.594071i \(-0.202480\pi\)
0.804412 + 0.594071i \(0.202480\pi\)
\(252\) 2.21299 + 7.62251i 0.139405 + 0.480173i
\(253\) −2.89779 2.89779i −0.182182 0.182182i
\(254\) 0.636303 2.37472i 0.0399252 0.149003i
\(255\) −2.02836 + 4.99414i −0.127021 + 0.312745i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 6.50252 + 11.2627i 0.405616 + 0.702548i 0.994393 0.105748i \(-0.0337236\pi\)
−0.588777 + 0.808296i \(0.700390\pi\)
\(258\) −2.25346 16.2491i −0.140294 1.01162i
\(259\) −2.60642 + 10.0049i −0.161955 + 0.621672i
\(260\) 1.48744 + 1.57006i 0.0922474 + 0.0973709i
\(261\) −8.83073 8.59018i −0.546608 0.531719i
\(262\) −20.2894 + 5.43654i −1.25349 + 0.335871i
\(263\) −7.46602 4.31051i −0.460375 0.265797i 0.251827 0.967772i \(-0.418969\pi\)
−0.712202 + 0.701975i \(0.752302\pi\)
\(264\) −5.52094 0.688106i −0.339790 0.0423500i
\(265\) 0.725746 + 0.725746i 0.0445822 + 0.0445822i
\(266\) 19.1166 + 10.8606i 1.17212 + 0.665905i
\(267\) 2.85575 + 20.5920i 0.174769 + 1.26021i
\(268\) 6.42620 + 1.72190i 0.392543 + 0.105181i
\(269\) 19.8943 + 11.4860i 1.21298 + 0.700313i 0.963407 0.268044i \(-0.0863772\pi\)
0.249571 + 0.968357i \(0.419710\pi\)
\(270\) 2.43297 1.94824i 0.148066 0.118566i
\(271\) 19.2021 + 5.14519i 1.16645 + 0.312548i 0.789538 0.613702i \(-0.210320\pi\)
0.376909 + 0.926250i \(0.376987\pi\)
\(272\) −5.18819 −0.314580
\(273\) 6.12151 + 15.3469i 0.370491 + 0.928836i
\(274\) 5.86906 0.354563
\(275\) 14.3972 + 3.85773i 0.868186 + 0.232630i
\(276\) 0.859706 + 2.03565i 0.0517482 + 0.122532i
\(277\) 12.9397 + 7.47073i 0.777470 + 0.448872i 0.835533 0.549440i \(-0.185159\pi\)
−0.0580630 + 0.998313i \(0.518492\pi\)
\(278\) 3.27803 + 0.878345i 0.196603 + 0.0526796i
\(279\) −8.03158 + 14.3656i −0.480838 + 0.860044i
\(280\) −1.36887 + 0.803051i −0.0818056 + 0.0479915i
\(281\) 0.842761 + 0.842761i 0.0502749 + 0.0502749i 0.731797 0.681522i \(-0.238682\pi\)
−0.681522 + 0.731797i \(0.738682\pi\)
\(282\) 1.23174 9.88273i 0.0733491 0.588508i
\(283\) 4.36513 + 2.52021i 0.259480 + 0.149811i 0.624097 0.781346i \(-0.285467\pi\)
−0.364617 + 0.931158i \(0.618800\pi\)
\(284\) −12.0417 + 3.22656i −0.714542 + 0.191461i
\(285\) 1.06782 8.56753i 0.0632522 0.507497i
\(286\) −11.5774 0.312829i −0.684589 0.0184979i
\(287\) −13.8466 13.6555i −0.817336 0.806056i
\(288\) 2.61854 + 1.46399i 0.154299 + 0.0862662i
\(289\) −4.95866 8.58865i −0.291686 0.505215i
\(290\) 1.23164 2.13327i 0.0723245 0.125270i
\(291\) 20.6411 + 8.38334i 1.21000 + 0.491440i
\(292\) −1.65075 + 6.16069i −0.0966029 + 0.360527i
\(293\) 4.76090 + 4.76090i 0.278135 + 0.278135i 0.832364 0.554229i \(-0.186987\pi\)
−0.554229 + 0.832364i \(0.686987\pi\)
\(294\) −11.9851 + 1.83222i −0.698986 + 0.106857i
\(295\) −1.95152 −0.113622
\(296\) 1.95385 + 3.38417i 0.113565 + 0.196701i
\(297\) −1.83545 + 16.5897i −0.106503 + 0.962635i
\(298\) 18.8798 + 10.9003i 1.09368 + 0.631435i
\(299\) 2.19153 + 4.04434i 0.126740 + 0.233891i
\(300\) −6.40984 4.84850i −0.370072 0.279929i
\(301\) 25.0578 0.174119i 1.44431 0.0100361i
\(302\) 11.3387i 0.652466i
\(303\) 2.46987 19.8167i 0.141890 1.13844i
\(304\) 8.02689 2.15080i 0.460374 0.123357i
\(305\) 0.123620 + 0.461355i 0.00707845 + 0.0264171i
\(306\) 0.214892 + 15.5631i 0.0122846 + 0.889682i
\(307\) −17.3519 + 17.3519i −0.990324 + 0.990324i −0.999954 0.00962922i \(-0.996935\pi\)
0.00962922 + 0.999954i \(0.496935\pi\)
\(308\) 2.14251 8.22413i 0.122081 0.468613i
\(309\) 0.440376 0.582187i 0.0250521 0.0331194i
\(310\) −3.17868 0.851724i −0.180537 0.0483747i
\(311\) −12.1990 + 21.1294i −0.691744 + 1.19814i 0.279521 + 0.960139i \(0.409824\pi\)
−0.971266 + 0.237997i \(0.923509\pi\)
\(312\) 5.72040 + 2.50540i 0.323854 + 0.141840i
\(313\) 12.9180 + 22.3747i 0.730171 + 1.26469i 0.956810 + 0.290714i \(0.0938930\pi\)
−0.226639 + 0.973979i \(0.572774\pi\)
\(314\) −16.8789 + 16.8789i −0.952533 + 0.952533i
\(315\) 2.46562 + 4.07296i 0.138922 + 0.229485i
\(316\) 4.35100i 0.244763i
\(317\) 14.2207 + 3.81041i 0.798712 + 0.214014i 0.635018 0.772497i \(-0.280993\pi\)
0.163693 + 0.986511i \(0.447659\pi\)
\(318\) 2.74579 + 1.11520i 0.153976 + 0.0625372i
\(319\) 3.41407 + 12.7415i 0.191151 + 0.713385i
\(320\) −0.155251 + 0.579405i −0.00867881 + 0.0323897i
\(321\) 13.3310 17.6238i 0.744061 0.983666i
\(322\) −3.25428 + 0.896263i −0.181354 + 0.0499468i
\(323\) 30.4863 + 30.4863i 1.69630 + 1.69630i
\(324\) 4.28308 7.91550i 0.237949 0.439750i
\(325\) −14.2577 8.75352i −0.790877 0.485558i
\(326\) −1.16939 0.675150i −0.0647668 0.0373931i
\(327\) −9.33491 + 7.26587i −0.516222 + 0.401803i
\(328\) −7.35040 −0.405858
\(329\) 14.7216 + 3.83519i 0.811626 + 0.211441i
\(330\) −3.30569 + 0.458440i −0.181972 + 0.0252363i
\(331\) 0.769457 2.87165i 0.0422932 0.157840i −0.941550 0.336874i \(-0.890630\pi\)
0.983843 + 0.179034i \(0.0572971\pi\)
\(332\) −13.1215 + 3.51589i −0.720134 + 0.192959i
\(333\) 10.0706 6.00116i 0.551866 0.328862i
\(334\) −0.167198 0.289596i −0.00914867 0.0158460i
\(335\) 3.99070 0.218035
\(336\) −2.73907 + 3.67389i −0.149428 + 0.200427i
\(337\) 13.9931i 0.762255i 0.924523 + 0.381127i \(0.124464\pi\)
−0.924523 + 0.381127i \(0.875536\pi\)
\(338\) 12.3570 + 4.03784i 0.672133 + 0.219629i
\(339\) −11.3503 26.8759i −0.616466 1.45970i
\(340\) −3.00607 + 0.805473i −0.163027 + 0.0436829i
\(341\) 15.2614 8.81117i 0.826451 0.477152i
\(342\) −6.78425 23.9893i −0.366850 1.29719i
\(343\) −0.386041 18.5162i −0.0208442 0.999783i
\(344\) 6.69715 6.69715i 0.361086 0.361086i
\(345\) 0.814156 + 1.04600i 0.0438327 + 0.0563146i
\(346\) −6.56107 24.4862i −0.352725 1.31639i
\(347\) −8.62184 4.97782i −0.462845 0.267224i 0.250395 0.968144i \(-0.419440\pi\)
−0.713240 + 0.700920i \(0.752773\pi\)
\(348\) 0.879694 7.05812i 0.0471565 0.378355i
\(349\) 13.9690 13.9690i 0.747742 0.747742i −0.226313 0.974055i \(-0.572667\pi\)
0.974055 + 0.226313i \(0.0726672\pi\)
\(350\) 8.62046 8.74110i 0.460783 0.467232i
\(351\) 7.27854 17.2633i 0.388499 0.921449i
\(352\) −1.60609 2.78183i −0.0856049 0.148272i
\(353\) −3.84065 14.3335i −0.204417 0.762896i −0.989626 0.143665i \(-0.954111\pi\)
0.785209 0.619231i \(-0.212556\pi\)
\(354\) −5.19107 + 2.19232i −0.275902 + 0.116520i
\(355\) −6.47608 + 3.73897i −0.343715 + 0.198444i
\(356\) −8.48711 + 8.48711i −0.449816 + 0.449816i
\(357\) −23.6126 2.77649i −1.24971 0.146947i
\(358\) 2.09314 2.09314i 0.110626 0.110626i
\(359\) 3.87962 14.4789i 0.204759 0.764169i −0.784764 0.619794i \(-0.787216\pi\)
0.989523 0.144375i \(-0.0461172\pi\)
\(360\) 1.74448 + 0.441711i 0.0919422 + 0.0232802i
\(361\) −43.3505 25.0284i −2.28161 1.31729i
\(362\) −0.185714 + 0.693096i −0.00976093 + 0.0364283i
\(363\) −0.712522 + 0.941970i −0.0373977 + 0.0494406i
\(364\) −4.93449 + 8.16399i −0.258638 + 0.427910i
\(365\) 3.82582i 0.200252i
\(366\) 0.847111 + 1.08834i 0.0442792 + 0.0568883i
\(367\) −6.15961 + 10.6688i −0.321529 + 0.556905i −0.980804 0.194998i \(-0.937530\pi\)
0.659275 + 0.751902i \(0.270863\pi\)
\(368\) −0.637898 + 1.10487i −0.0332528 + 0.0575955i
\(369\) 0.304450 + 22.0491i 0.0158490 + 1.14783i
\(370\) 1.65747 + 1.65747i 0.0861676 + 0.0861676i
\(371\) −2.23620 + 3.93613i −0.116098 + 0.204354i
\(372\) −9.41213 + 1.30529i −0.487996 + 0.0676763i
\(373\) −2.52756 4.37786i −0.130872 0.226677i 0.793141 0.609038i \(-0.208444\pi\)
−0.924013 + 0.382361i \(0.875111\pi\)
\(374\) 8.33270 14.4327i 0.430874 0.746295i
\(375\) −9.27961 3.76890i −0.479197 0.194625i
\(376\) 4.97960 2.87497i 0.256803 0.148265i
\(377\) 0.399929 14.8009i 0.0205974 0.762287i
\(378\) 11.1341 + 8.06425i 0.572676 + 0.414780i
\(379\) −1.20575 1.20575i −0.0619353 0.0619353i 0.675461 0.737396i \(-0.263945\pi\)
−0.737396 + 0.675461i \(0.763945\pi\)
\(380\) 4.31691 2.49237i 0.221453 0.127856i
\(381\) −1.65667 3.92274i −0.0848739 0.200968i
\(382\) 14.0884 3.77497i 0.720824 0.193144i
\(383\) 17.5705 + 4.70799i 0.897808 + 0.240567i 0.678075 0.734993i \(-0.262815\pi\)
0.219734 + 0.975560i \(0.429481\pi\)
\(384\) 0.237927 + 1.71563i 0.0121417 + 0.0875504i
\(385\) −0.0354226 5.09773i −0.00180530 0.259804i
\(386\) 20.2524i 1.03082i
\(387\) −20.3669 19.8121i −1.03531 1.00711i
\(388\) 3.32907 + 12.4242i 0.169008 + 0.630745i
\(389\) 15.4549 26.7687i 0.783595 1.35723i −0.146240 0.989249i \(-0.546717\pi\)
0.929835 0.367977i \(-0.119949\pi\)
\(390\) 3.70340 + 0.563541i 0.187529 + 0.0285360i
\(391\) −6.61908 −0.334741
\(392\) −5.01805 4.88048i −0.253450 0.246502i
\(393\) −21.9482 + 29.0160i −1.10714 + 1.46366i
\(394\) 1.10826 0.639857i 0.0558336 0.0322355i
\(395\) −0.675498 2.52099i −0.0339880 0.126845i
\(396\) −8.27817 + 4.93303i −0.415994 + 0.247894i
\(397\) 6.56445 + 1.75894i 0.329461 + 0.0882787i 0.419758 0.907636i \(-0.362115\pi\)
−0.0902972 + 0.995915i \(0.528782\pi\)
\(398\) −1.96997 1.96997i −0.0987456 0.0987456i
\(399\) 37.6831 5.49312i 1.88652 0.275000i
\(400\) 4.64019i 0.232009i
\(401\) −6.13006 + 22.8777i −0.306121 + 1.14246i 0.625856 + 0.779939i \(0.284750\pi\)
−0.931976 + 0.362519i \(0.881917\pi\)
\(402\) 10.6153 4.48311i 0.529443 0.223597i
\(403\) −19.2377 + 4.60160i −0.958299 + 0.229222i
\(404\) 9.98503 5.76486i 0.496774 0.286813i
\(405\) 1.25275 5.25124i 0.0622496 0.260936i
\(406\) 10.5140 + 2.73905i 0.521799 + 0.135937i
\(407\) −12.5522 −0.622191
\(408\) −7.09130 + 5.51954i −0.351072 + 0.273258i
\(409\) −2.45363 + 0.657447i −0.121324 + 0.0325087i −0.318970 0.947765i \(-0.603337\pi\)
0.197646 + 0.980273i \(0.436670\pi\)
\(410\) −4.25886 + 1.14116i −0.210330 + 0.0563578i
\(411\) 8.02192 6.24389i 0.395692 0.307989i
\(412\) 0.421455 0.0207636
\(413\) −2.28554 8.29866i −0.112464 0.408350i
\(414\) 3.34072 + 1.86775i 0.164188 + 0.0917949i
\(415\) −7.05680 + 4.07425i −0.346405 + 0.199997i
\(416\) 0.838775 + 3.50663i 0.0411243 + 0.171927i
\(417\) 5.41491 2.28685i 0.265169 0.111987i
\(418\) −6.90875 + 25.7838i −0.337918 + 1.26113i
\(419\) 3.88080i 0.189590i −0.995497 0.0947948i \(-0.969781\pi\)
0.995497 0.0947948i \(-0.0302195\pi\)
\(420\) −1.01665 + 2.55392i −0.0496077 + 0.124618i
\(421\) 0.262070 + 0.262070i 0.0127725 + 0.0127725i 0.713464 0.700692i \(-0.247125\pi\)
−0.700692 + 0.713464i \(0.747125\pi\)
\(422\) 2.59481 + 0.695277i 0.126313 + 0.0338455i
\(423\) −8.83034 14.8183i −0.429346 0.720490i
\(424\) 0.442851 + 1.65274i 0.0215067 + 0.0802642i
\(425\) 20.8488 12.0371i 1.01132 0.583884i
\(426\) −13.0261 + 17.2209i −0.631118 + 0.834353i
\(427\) −1.81709 + 1.06600i −0.0879352 + 0.0515874i
\(428\) 12.7582 0.616690
\(429\) −16.1571 + 11.8893i −0.780070 + 0.574020i
\(430\) 2.84062 4.92011i 0.136987 0.237269i
\(431\) −3.75773 14.0240i −0.181004 0.675514i −0.995451 0.0952769i \(-0.969626\pi\)
0.814447 0.580238i \(-0.197040\pi\)
\(432\) 5.13655 0.784775i 0.247132 0.0377575i
\(433\) 9.24282i 0.444182i −0.975026 0.222091i \(-0.928712\pi\)
0.975026 0.222091i \(-0.0712881\pi\)
\(434\) −0.100857 14.5145i −0.00484129 0.696719i
\(435\) −0.586083 4.22609i −0.0281005 0.202625i
\(436\) −6.59696 1.76765i −0.315937 0.0846551i
\(437\) 10.2407 2.74398i 0.489878 0.131262i
\(438\) 4.29788 + 10.1767i 0.205360 + 0.486262i
\(439\) 5.46918 3.15763i 0.261030 0.150705i −0.363775 0.931487i \(-0.618512\pi\)
0.624804 + 0.780782i \(0.285179\pi\)
\(440\) −1.36246 1.36246i −0.0649527 0.0649527i
\(441\) −14.4322 + 15.2549i −0.687248 + 0.726423i
\(442\) −13.5798 + 12.8652i −0.645925 + 0.611937i
\(443\) −13.0061 + 7.50906i −0.617937 + 0.356766i −0.776065 0.630652i \(-0.782787\pi\)
0.158128 + 0.987419i \(0.449454\pi\)
\(444\) 6.27086 + 2.54690i 0.297602 + 0.120871i
\(445\) −3.59985 + 6.23511i −0.170649 + 0.295573i
\(446\) 1.54420 + 2.67463i 0.0731200 + 0.126648i
\(447\) 37.4016 5.18694i 1.76904 0.245334i
\(448\) −2.64569 + 0.0183841i −0.124997 + 0.000868566i
\(449\) −11.2960 11.2960i −0.533091 0.533091i 0.388400 0.921491i \(-0.373028\pi\)
−0.921491 + 0.388400i \(0.873028\pi\)
\(450\) −13.9192 + 0.192194i −0.656159 + 0.00906012i
\(451\) 11.8054 20.4475i 0.555894 0.962837i
\(452\) 8.42191 14.5872i 0.396133 0.686123i
\(453\) −12.0628 15.4979i −0.566761 0.728153i
\(454\) 21.2620i 0.997877i
\(455\) −1.59160 + 5.49635i −0.0746154 + 0.257673i
\(456\) 8.68312 11.4793i 0.406624 0.537567i
\(457\) −4.29015 + 16.0111i −0.200685 + 0.748966i 0.790037 + 0.613059i \(0.210061\pi\)
−0.990722 + 0.135907i \(0.956605\pi\)
\(458\) 3.70807 + 2.14086i 0.173267 + 0.100036i
\(459\) 16.8508 + 21.0433i 0.786527 + 0.982216i
\(460\) −0.198069 + 0.739204i −0.00923501 + 0.0344655i
\(461\) 12.3842 12.3842i 0.576788 0.576788i −0.357229 0.934017i \(-0.616278\pi\)
0.934017 + 0.357229i \(0.116278\pi\)
\(462\) −5.82096 13.5202i −0.270815 0.629018i
\(463\) 15.3743 15.3743i 0.714503 0.714503i −0.252971 0.967474i \(-0.581408\pi\)
0.967474 + 0.252971i \(0.0814076\pi\)
\(464\) 3.55637 2.05327i 0.165100 0.0953206i
\(465\) −5.25079 + 2.21754i −0.243499 + 0.102836i
\(466\) 3.72023 + 13.8841i 0.172336 + 0.643168i
\(467\) −2.94747 5.10517i −0.136393 0.236239i 0.789736 0.613447i \(-0.210218\pi\)
−0.926129 + 0.377208i \(0.876884\pi\)
\(468\) 10.4841 2.66133i 0.484630 0.123020i
\(469\) 4.67374 + 16.9701i 0.215813 + 0.783605i
\(470\) 2.43886 2.43886i 0.112496 0.112496i
\(471\) −5.11347 + 41.0273i −0.235616 + 1.89044i
\(472\) −2.81751 1.62669i −0.129686 0.0748745i
\(473\) 7.87410 + 29.3865i 0.362052 + 1.35119i
\(474\) −4.62888 5.94702i −0.212612 0.273156i
\(475\) −27.2662 + 27.2662i −1.25106 + 1.25106i
\(476\) −6.94577 11.8397i −0.318359 0.542670i
\(477\) 4.93941 1.39688i 0.226160 0.0639588i
\(478\) 8.66038 5.00007i 0.396117 0.228698i
\(479\) −17.4615 + 4.67881i −0.797838 + 0.213780i −0.634635 0.772812i \(-0.718849\pi\)
−0.163204 + 0.986592i \(0.552183\pi\)
\(480\) 0.404210 + 0.957107i 0.0184496 + 0.0436858i
\(481\) 13.5059 + 4.01287i 0.615814 + 0.182971i
\(482\) 8.27064i 0.376717i
\(483\) −3.49450 + 4.68714i −0.159005 + 0.213272i
\(484\) −0.681908 −0.0309958
\(485\) 3.85776 + 6.68183i 0.175172 + 0.303406i
\(486\) −2.56685 15.3757i −0.116435 0.697455i
\(487\) −37.4584 + 10.0369i −1.69740 + 0.454817i −0.972283 0.233807i \(-0.924882\pi\)
−0.725118 + 0.688624i \(0.758215\pi\)
\(488\) −0.206086 + 0.769125i −0.00932909 + 0.0348167i
\(489\) −2.31662 + 0.321273i −0.104761 + 0.0145285i
\(490\) −3.66519 2.04872i −0.165576 0.0925517i
\(491\) −9.27442 −0.418549 −0.209274 0.977857i \(-0.567110\pi\)
−0.209274 + 0.977857i \(0.567110\pi\)
\(492\) −10.0466 + 7.81984i −0.452938 + 0.352546i
\(493\) 18.4511 + 10.6528i 0.830996 + 0.479776i
\(494\) 15.6766 25.5340i 0.705322 1.14883i
\(495\) −4.03056 + 4.14342i −0.181160 + 0.186233i
\(496\) −3.87926 3.87926i −0.174184 0.174184i
\(497\) −23.4841 23.1600i −1.05341 1.03887i
\(498\) −14.1942 + 18.7651i −0.636057 + 0.840882i
\(499\) −9.84950 + 36.7588i −0.440924 + 1.64555i 0.285555 + 0.958362i \(0.407822\pi\)
−0.726479 + 0.687189i \(0.758845\pi\)
\(500\) −1.49665 5.58558i −0.0669322 0.249795i
\(501\) −0.536620 0.217948i −0.0239744 0.00973718i
\(502\) 24.6201 + 6.59693i 1.09885 + 0.294435i
\(503\) 13.4961i 0.601763i 0.953662 + 0.300882i \(0.0972809\pi\)
−0.953662 + 0.300882i \(0.902719\pi\)
\(504\) 0.164730 + 7.93554i 0.00733766 + 0.353477i
\(505\) 4.89038 4.89038i 0.217619 0.217619i
\(506\) −2.04904 3.54905i −0.0910911 0.157774i
\(507\) 21.1855 7.62724i 0.940881 0.338737i
\(508\) 1.22924 2.12911i 0.0545389 0.0944641i
\(509\) −40.8332 10.9412i −1.80990 0.484961i −0.814449 0.580235i \(-0.802961\pi\)
−0.995451 + 0.0952733i \(0.969627\pi\)
\(510\) −3.25182 + 4.29899i −0.143993 + 0.190362i
\(511\) −16.2689 + 4.48063i −0.719694 + 0.198211i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −34.7942 25.5714i −1.53620 1.12901i
\(514\) 3.36595 + 12.5619i 0.148466 + 0.554082i
\(515\) 0.244193 0.0654313i 0.0107604 0.00288325i
\(516\) 2.02890 16.2787i 0.0893173 0.716628i
\(517\) 18.4698i 0.812303i
\(518\) −5.10706 + 8.98937i −0.224391 + 0.394970i
\(519\) −35.0179 26.4881i −1.53711 1.16270i
\(520\) 1.03040 + 1.90154i 0.0451860 + 0.0833880i
\(521\) 23.0923 + 13.3323i 1.01169 + 0.584099i 0.911686 0.410888i \(-0.134781\pi\)
0.100004 + 0.994987i \(0.468114\pi\)
\(522\) −6.30652 10.5830i −0.276029 0.463207i
\(523\) −9.51589 16.4820i −0.416101 0.720708i 0.579443 0.815013i \(-0.303270\pi\)
−0.995543 + 0.0943055i \(0.969937\pi\)
\(524\) −21.0052 −0.917616
\(525\) 2.48322 21.1185i 0.108377 0.921687i
\(526\) −6.09598 6.09598i −0.265797 0.265797i
\(527\) 7.36675 27.4931i 0.320901 1.19762i
\(528\) −5.15472 2.09358i −0.224331 0.0911115i
\(529\) 10.6862 18.5090i 0.464616 0.804739i
\(530\) 0.513180 + 0.888854i 0.0222911 + 0.0386094i
\(531\) −4.76291 + 8.51910i −0.206693 + 0.369698i
\(532\) 15.6543 + 15.4383i 0.678701 + 0.669334i
\(533\) −19.2393 + 18.2269i −0.833345 + 0.789495i
\(534\) −2.57117 + 20.6295i −0.111265 + 0.892725i
\(535\) 7.39216 1.98072i 0.319591 0.0856341i
\(536\) 5.76157 + 3.32645i 0.248862 + 0.143681i
\(537\) 0.634115 5.08775i 0.0273641 0.219553i
\(538\) 16.2436 + 16.2436i 0.700313 + 0.700313i
\(539\) 21.6361 6.12087i 0.931933 0.263645i
\(540\) 2.85431 1.25216i 0.122830 0.0538843i
\(541\) −43.3634 11.6192i −1.86434 0.499547i −0.864342 0.502905i \(-0.832265\pi\)
−0.999994 + 0.00335721i \(0.998931\pi\)
\(542\) 17.2162 + 9.93975i 0.739497 + 0.426949i
\(543\) 0.483524 + 1.14491i 0.0207500 + 0.0491328i
\(544\) −5.01141 1.34280i −0.214862 0.0575722i
\(545\) −4.09674 −0.175485
\(546\) 1.94086 + 16.4083i 0.0830610 + 0.702211i
\(547\) −10.8785 −0.465131 −0.232566 0.972581i \(-0.574712\pi\)
−0.232566 + 0.972581i \(0.574712\pi\)
\(548\) 5.66907 + 1.51902i 0.242171 + 0.0648895i
\(549\) 2.31569 + 0.586344i 0.0988313 + 0.0250245i
\(550\) 12.9082 + 7.45255i 0.550408 + 0.317778i
\(551\) −32.9627 8.83234i −1.40426 0.376270i
\(552\) 0.303547 + 2.18880i 0.0129198 + 0.0931614i
\(553\) 9.92915 5.82496i 0.422231 0.247703i
\(554\) 10.5652 + 10.5652i 0.448872 + 0.448872i
\(555\) 4.02878 + 0.502129i 0.171012 + 0.0213142i
\(556\) 2.93900 + 1.69683i 0.124641 + 0.0719617i
\(557\) −36.3533 + 9.74083i −1.54034 + 0.412732i −0.926375 0.376603i \(-0.877092\pi\)
−0.613963 + 0.789335i \(0.710426\pi\)
\(558\) −11.4760 + 11.7973i −0.485817 + 0.499421i
\(559\) 0.922384 34.1364i 0.0390127 1.44382i
\(560\) −1.53007 + 0.421398i −0.0646573 + 0.0178073i
\(561\) −3.96515 28.5917i −0.167409 1.20714i
\(562\) 0.595922 + 1.03217i 0.0251375 + 0.0435393i
\(563\) 6.20164 10.7416i 0.261368 0.452703i −0.705238 0.708971i \(-0.749160\pi\)
0.966606 + 0.256268i \(0.0824931\pi\)
\(564\) 3.74761 9.22719i 0.157803 0.388535i
\(565\) 2.61502 9.75940i 0.110015 0.410581i
\(566\) 3.56412 + 3.56412i 0.149811 + 0.149811i
\(567\) 23.7975 0.822829i 0.999403 0.0345556i
\(568\) −12.4665 −0.523081
\(569\) −13.3186 23.0685i −0.558344 0.967081i −0.997635 0.0687356i \(-0.978104\pi\)
0.439291 0.898345i \(-0.355230\pi\)
\(570\) 3.24887 7.99922i 0.136080 0.335051i
\(571\) −38.6796 22.3317i −1.61869 0.934552i −0.987259 0.159121i \(-0.949134\pi\)
−0.631432 0.775431i \(-0.717533\pi\)
\(572\) −11.1020 3.29863i −0.464198 0.137923i
\(573\) 15.2402 20.1478i 0.636667 0.841688i
\(574\) −9.84045 16.7739i −0.410733 0.700129i
\(575\) 5.91994i 0.246878i
\(576\) 2.15041 + 2.09183i 0.0896003 + 0.0871596i
\(577\) 10.4543 2.80122i 0.435218 0.116616i −0.0345564 0.999403i \(-0.511002\pi\)
0.469775 + 0.882786i \(0.344335\pi\)
\(578\) −2.56679 9.57939i −0.106764 0.398450i
\(579\) 21.5458 + 27.6812i 0.895413 + 1.15039i
\(580\) 1.74181 1.74181i 0.0723245 0.0723245i
\(581\) −25.5899 25.2368i −1.06165 1.04700i
\(582\) 17.7680 + 13.4400i 0.736506 + 0.557105i
\(583\) −5.30890 1.42252i −0.219872 0.0589146i
\(584\) −3.18901 + 5.52352i −0.131962 + 0.228565i
\(585\) 5.66140 3.16966i 0.234070 0.131049i
\(586\) 3.36646 + 5.83089i 0.139067 + 0.240872i
\(587\) −9.59239 + 9.59239i −0.395920 + 0.395920i −0.876791 0.480871i \(-0.840321\pi\)
0.480871 + 0.876791i \(0.340321\pi\)
\(588\) −12.0509 1.33218i −0.496973 0.0549384i
\(589\) 45.5897i 1.87849i
\(590\) −1.88503 0.505091i −0.0776053 0.0207943i
\(591\) 0.834072 2.05361i 0.0343091 0.0844743i
\(592\) 1.01139 + 3.77455i 0.0415678 + 0.155133i
\(593\) −5.39354 + 20.1290i −0.221486 + 0.826598i 0.762295 + 0.647229i \(0.224072\pi\)
−0.983782 + 0.179369i \(0.942594\pi\)
\(594\) −6.06665 + 15.5494i −0.248918 + 0.638000i
\(595\) −5.86254 5.78162i −0.240341 0.237023i
\(596\) 15.4153 + 15.4153i 0.631435 + 0.631435i
\(597\) −4.78837 0.596802i −0.195975 0.0244255i
\(598\) 1.07011 + 4.47375i 0.0437599 + 0.182945i
\(599\) 20.0588 + 11.5809i 0.819579 + 0.473184i 0.850271 0.526345i \(-0.176438\pi\)
−0.0306925 + 0.999529i \(0.509771\pi\)
\(600\) −4.93654 6.34228i −0.201533 0.258923i
\(601\) −4.85103 −0.197877 −0.0989387 0.995094i \(-0.531545\pi\)
−0.0989387 + 0.995094i \(0.531545\pi\)
\(602\) 24.2491 + 6.31726i 0.988319 + 0.257472i
\(603\) 9.73975 17.4209i 0.396633 0.709432i
\(604\) 2.93466 10.9523i 0.119410 0.445643i
\(605\) −0.395101 + 0.105867i −0.0160631 + 0.00430411i
\(606\) 7.51466 18.5022i 0.305262 0.751603i
\(607\) −17.4499 30.2241i −0.708268 1.22676i −0.965499 0.260407i \(-0.916143\pi\)
0.257231 0.966350i \(-0.417190\pi\)
\(608\) 8.31005 0.337017
\(609\) 17.2846 7.44167i 0.700409 0.301552i
\(610\) 0.477630i 0.0193387i
\(611\) 5.90470 19.8731i 0.238879 0.803978i
\(612\) −3.82045 + 15.0884i −0.154433 + 0.609913i
\(613\) 18.8091 5.03987i 0.759691 0.203559i 0.141879 0.989884i \(-0.454686\pi\)
0.617812 + 0.786325i \(0.288019\pi\)
\(614\) −21.2516 + 12.2696i −0.857646 + 0.495162i
\(615\) −4.60704 + 6.09061i −0.185774 + 0.245597i
\(616\) 4.19807 7.38937i 0.169145 0.297726i
\(617\) 7.75021 7.75021i 0.312012 0.312012i −0.533677 0.845688i \(-0.679190\pi\)
0.845688 + 0.533677i \(0.179190\pi\)
\(618\) 0.576051 0.448372i 0.0231722 0.0180362i
\(619\) −10.8113 40.3484i −0.434544 1.62174i −0.742156 0.670228i \(-0.766196\pi\)
0.307612 0.951512i \(-0.400470\pi\)
\(620\) −2.84992 1.64540i −0.114456 0.0660810i
\(621\) 6.55319 1.00121i 0.262971 0.0401773i
\(622\) −17.2521 + 17.2521i −0.691744 + 0.691744i
\(623\) −30.7302 8.00569i −1.23118 0.320741i
\(624\) 4.87704 + 3.90058i 0.195238 + 0.156148i
\(625\) 9.86613 + 17.0886i 0.394645 + 0.683546i
\(626\) 6.68687 + 24.9557i 0.267261 + 0.997432i
\(627\) 17.9875 + 42.5917i 0.718353 + 1.70095i
\(628\) −20.6724 + 11.9352i −0.824918 + 0.476267i
\(629\) −14.3358 + 14.3358i −0.571606 + 0.571606i
\(630\) 1.32745 + 4.57232i 0.0528868 + 0.182166i
\(631\) −2.77766 + 2.77766i −0.110577 + 0.110577i −0.760230 0.649653i \(-0.774914\pi\)
0.649653 + 0.760230i \(0.274914\pi\)
\(632\) 1.12612 4.20274i 0.0447947 0.167176i
\(633\) 4.28631 1.81021i 0.170365 0.0719496i
\(634\) 12.7499 + 7.36115i 0.506363 + 0.292349i
\(635\) 0.381683 1.42446i 0.0151466 0.0565280i
\(636\) 2.36359 + 1.78786i 0.0937225 + 0.0708933i
\(637\) −25.2367 0.331043i −0.999914 0.0131164i
\(638\) 13.1909i 0.522234i
\(639\) 0.516354 + 37.3958i 0.0204267 + 1.47936i
\(640\) −0.299922 + 0.519481i −0.0118555 + 0.0205343i
\(641\) 8.54841 14.8063i 0.337642 0.584813i −0.646347 0.763044i \(-0.723704\pi\)
0.983989 + 0.178231i \(0.0570373\pi\)
\(642\) 17.4381 13.5730i 0.688227 0.535684i
\(643\) 15.2523 + 15.2523i 0.601493 + 0.601493i 0.940709 0.339215i \(-0.110162\pi\)
−0.339215 + 0.940709i \(0.610162\pi\)
\(644\) −3.37536 + 0.0234544i −0.133008 + 0.000924231i
\(645\) −1.35172 9.74693i −0.0532241 0.383785i
\(646\) 21.5570 + 37.3379i 0.848151 + 1.46904i
\(647\) −6.39763 + 11.0810i −0.251517 + 0.435640i −0.963944 0.266106i \(-0.914263\pi\)
0.712427 + 0.701746i \(0.247596\pi\)
\(648\) 6.18582 6.53725i 0.243002 0.256807i
\(649\) 9.05035 5.22522i 0.355257 0.205108i
\(650\) −11.5063 12.1454i −0.451316 0.476383i
\(651\) −15.5794 19.7314i −0.610603 0.773333i
\(652\) −0.954807 0.954807i −0.0373931 0.0373931i
\(653\) −9.47898 + 5.47269i −0.370941 + 0.214163i −0.673870 0.738850i \(-0.735369\pi\)
0.302928 + 0.953013i \(0.402036\pi\)
\(654\) −10.8974 + 4.60223i −0.426121 + 0.179962i
\(655\) −12.1705 + 3.26108i −0.475541 + 0.127421i
\(656\) −7.09994 1.90242i −0.277206 0.0742771i
\(657\) 16.7011 + 9.33733i 0.651571 + 0.364284i
\(658\) 13.2273 + 7.51473i 0.515654 + 0.292955i
\(659\) 19.1808i 0.747177i 0.927595 + 0.373588i \(0.121873\pi\)
−0.927595 + 0.373588i \(0.878127\pi\)
\(660\) −3.31171 0.412757i −0.128908 0.0160665i
\(661\) −0.274549 1.02463i −0.0106787 0.0398535i 0.960381 0.278691i \(-0.0899004\pi\)
−0.971060 + 0.238837i \(0.923234\pi\)
\(662\) 1.48648 2.57465i 0.0577735 0.100067i
\(663\) −4.87419 + 32.0315i −0.189298 + 1.24400i
\(664\) −13.5843 −0.527175
\(665\) 11.4670 + 6.51466i 0.444672 + 0.252628i
\(666\) 11.2807 3.19021i 0.437117 0.123618i
\(667\) 4.53720 2.61955i 0.175681 0.101430i
\(668\) −0.0865481 0.323002i −0.00334865 0.0124973i
\(669\) 4.95609 + 2.01291i 0.191614 + 0.0778236i
\(670\) 3.85472 + 1.03287i 0.148921 + 0.0399032i
\(671\) −1.80858 1.80858i −0.0698195 0.0698195i
\(672\) −3.59661 + 2.83979i −0.138742 + 0.109547i
\(673\) 20.6567i 0.796258i −0.917329 0.398129i \(-0.869660\pi\)
0.917329 0.398129i \(-0.130340\pi\)
\(674\) −3.62169 + 13.5163i −0.139502 + 0.520630i
\(675\) −18.8206 + 15.0709i −0.724404 + 0.580079i
\(676\) 10.8909 + 7.09848i 0.418880 + 0.273019i
\(677\) −16.6890 + 9.63538i −0.641409 + 0.370318i −0.785157 0.619297i \(-0.787418\pi\)
0.143748 + 0.989614i \(0.454084\pi\)
\(678\) −4.00761 28.8978i −0.153911 1.10981i
\(679\) −23.8958 + 24.2302i −0.917036 + 0.929870i
\(680\) −3.11211 −0.119344
\(681\) −22.6200 29.0613i −0.866799 1.11363i
\(682\) 17.0219 4.56100i 0.651801 0.174650i
\(683\) −23.0006 + 6.16299i −0.880093 + 0.235820i −0.670447 0.741957i \(-0.733898\pi\)
−0.209646 + 0.977777i \(0.567231\pi\)
\(684\) −0.344198 24.9278i −0.0131607 0.953137i
\(685\) 3.52052 0.134512
\(686\) 4.41947 17.9852i 0.168736 0.686679i
\(687\) 7.34585 1.01874i 0.280261 0.0388673i
\(688\) 8.20230 4.73560i 0.312710 0.180543i
\(689\) 5.25746 + 3.22781i 0.200293 + 0.122970i
\(690\) 0.515690 + 1.22107i 0.0196320 + 0.0464855i
\(691\) 1.29565 4.83543i 0.0492888 0.183948i −0.936893 0.349617i \(-0.886312\pi\)
0.986181 + 0.165669i \(0.0529783\pi\)
\(692\) 25.3500i 0.963663i
\(693\) −22.3399 12.2869i −0.848622 0.466742i
\(694\) −7.03971 7.03971i −0.267224 0.267224i
\(695\) 1.96631 + 0.526871i 0.0745863 + 0.0199853i
\(696\) 2.67650 6.58994i 0.101452 0.249791i
\(697\) −9.87013 36.8358i −0.373858 1.39526i
\(698\) 17.1084 9.87755i 0.647563 0.373871i
\(699\) 19.8557 + 15.0192i 0.751012 + 0.568078i
\(700\) 10.5891 6.21212i 0.400230 0.234796i
\(701\) 12.9949 0.490810 0.245405 0.969421i \(-0.421079\pi\)
0.245405 + 0.969421i \(0.421079\pi\)
\(702\) 11.4986 14.7913i 0.433987 0.558261i
\(703\) 16.2366 28.1226i 0.612374 1.06066i
\(704\) −0.831373 3.10273i −0.0313336 0.116938i
\(705\) 0.738853 5.92810i 0.0278268 0.223265i
\(706\) 14.8391i 0.558479i
\(707\) 26.5233 + 15.0685i 0.997510 + 0.566708i
\(708\) −5.58160 + 0.774068i −0.209769 + 0.0290913i
\(709\) 42.1942 + 11.3059i 1.58464 + 0.424602i 0.940358 0.340187i \(-0.110490\pi\)
0.644280 + 0.764789i \(0.277157\pi\)
\(710\) −7.22313 + 1.93543i −0.271079 + 0.0726355i
\(711\) −12.6537 3.20397i −0.474550 0.120158i
\(712\) −10.3946 + 6.00130i −0.389552 + 0.224908i
\(713\) −4.94915 4.94915i −0.185347 0.185347i
\(714\) −22.0894 8.79327i −0.826675 0.329080i
\(715\) −6.94467 0.187648i −0.259716 0.00701766i
\(716\) 2.56356 1.48007i 0.0958047 0.0553129i
\(717\) 6.51774 16.0477i 0.243409 0.599311i
\(718\) 7.49485 12.9815i 0.279705 0.484464i
\(719\) 15.7316 + 27.2479i 0.586690 + 1.01618i 0.994662 + 0.103182i \(0.0329025\pi\)
−0.407973 + 0.912994i \(0.633764\pi\)
\(720\) 1.57072 + 0.878164i 0.0585371 + 0.0327273i
\(721\) 0.564229 + 0.961777i 0.0210130 + 0.0358184i
\(722\) −35.3955 35.3955i −1.31729 1.31729i
\(723\) 8.79886 + 11.3044i 0.327233 + 0.420417i
\(724\) −0.358773 + 0.621412i −0.0133337 + 0.0230946i
\(725\) −9.52755 + 16.5022i −0.353844 + 0.612877i
\(726\) −0.932043 + 0.725459i −0.0345913 + 0.0269243i
\(727\) 42.0789i 1.56062i −0.625393 0.780310i \(-0.715061\pi\)
0.625393 0.780310i \(-0.284939\pi\)
\(728\) −6.87935 + 6.60867i −0.254966 + 0.244934i
\(729\) −19.8661 18.2849i −0.735781 0.677220i
\(730\) −0.990194 + 3.69545i −0.0366487 + 0.136775i
\(731\) 42.5551 + 24.5692i 1.57396 + 0.908724i
\(732\) 0.536564 + 1.27050i 0.0198320 + 0.0469591i
\(733\) 5.35665 19.9913i 0.197852 0.738395i −0.793658 0.608365i \(-0.791826\pi\)
0.991510 0.130030i \(-0.0415075\pi\)
\(734\) −8.71100 + 8.71100i −0.321529 + 0.321529i
\(735\) −7.18921 + 1.09905i −0.265178 + 0.0405390i
\(736\) −0.902125 + 0.902125i −0.0332528 + 0.0332528i
\(737\) −18.5072 + 10.6851i −0.681722 + 0.393592i
\(738\) −5.41265 + 21.3766i −0.199242 + 0.786883i
\(739\) 9.97235 + 37.2173i 0.366839 + 1.36906i 0.864911 + 0.501925i \(0.167375\pi\)
−0.498072 + 0.867136i \(0.665959\pi\)
\(740\) 1.17201 + 2.02997i 0.0430838 + 0.0746233i
\(741\) −5.73779 51.5780i −0.210783 1.89477i
\(742\) −3.17875 + 3.22323i −0.116696 + 0.118329i
\(743\) 1.60617 1.60617i 0.0589248 0.0589248i −0.677030 0.735955i \(-0.736733\pi\)
0.735955 + 0.677030i \(0.236733\pi\)
\(744\) −9.42925 1.17522i −0.345693 0.0430857i
\(745\) 11.3249 + 6.53846i 0.414914 + 0.239551i
\(746\) −1.30836 4.88287i −0.0479025 0.178775i
\(747\) 0.562656 + 40.7491i 0.0205865 + 1.49093i
\(748\) 11.7842 11.7842i 0.430874 0.430874i
\(749\) 17.0802 + 29.1147i 0.624097 + 1.06383i
\(750\) −7.98796 6.04222i −0.291679 0.220631i
\(751\) 1.80427 1.04170i 0.0658387 0.0380120i −0.466719 0.884406i \(-0.654564\pi\)
0.532558 + 0.846394i \(0.321231\pi\)
\(752\) 5.55402 1.48819i 0.202534 0.0542689i
\(753\) 40.6694 17.1757i 1.48207 0.625917i
\(754\) 4.21707 14.1931i 0.153576 0.516882i
\(755\) 6.80143i 0.247529i
\(756\) 8.66752 + 10.6712i 0.315235 + 0.388107i
\(757\) −10.9645 −0.398510 −0.199255 0.979948i \(-0.563852\pi\)
−0.199255 + 0.979948i \(0.563852\pi\)
\(758\) −0.852595 1.47674i −0.0309676 0.0536375i
\(759\) −6.57638 2.67099i −0.238708 0.0969507i
\(760\) 4.81488 1.29014i 0.174654 0.0467985i
\(761\) 5.57308 20.7990i 0.202024 0.753964i −0.788312 0.615276i \(-0.789045\pi\)
0.990336 0.138688i \(-0.0442886\pi\)
\(762\) −0.584941 4.21786i −0.0211902 0.152797i
\(763\) −4.79793 17.4210i −0.173697 0.630683i
\(764\) 14.5854 0.527680
\(765\) 0.128902 + 9.33543i 0.00466046 + 0.337523i
\(766\) 15.7532 + 9.09514i 0.569188 + 0.328621i
\(767\) −11.4084 + 2.72885i −0.411934 + 0.0985332i
\(768\) −0.214218 + 1.71875i −0.00772992 + 0.0620201i
\(769\) 15.9582 + 15.9582i 0.575466 + 0.575466i 0.933651 0.358185i \(-0.116604\pi\)
−0.358185 + 0.933651i \(0.616604\pi\)
\(770\) 1.28517 4.93320i 0.0463145 0.177780i
\(771\) 17.9648 + 13.5889i 0.646988 + 0.489392i
\(772\) −5.24169 + 19.5623i −0.188653 + 0.704061i
\(773\) 7.23162 + 26.9888i 0.260103 + 0.970719i 0.965180 + 0.261588i \(0.0842461\pi\)
−0.705076 + 0.709131i \(0.749087\pi\)
\(774\) −14.5452 24.4084i −0.522816 0.877342i