Properties

Label 162.3.h.a.5.5
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.5
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326140 - 1.37609i) q^{2} +(-0.663139 + 2.92579i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(0.605521 - 0.450794i) q^{5} +(4.24244 - 0.0416761i) q^{6} +(1.59852 - 1.05136i) q^{7} +(1.81808 + 2.16670i) q^{8} +(-8.12049 - 3.88041i) q^{9} +O(q^{10})\) \(q+(-0.326140 - 1.37609i) q^{2} +(-0.663139 + 2.92579i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(0.605521 - 0.450794i) q^{5} +(4.24244 - 0.0416761i) q^{6} +(1.59852 - 1.05136i) q^{7} +(1.81808 + 2.16670i) q^{8} +(-8.12049 - 3.88041i) q^{9} +(-0.817819 - 0.686231i) q^{10} +(-1.86600 + 15.9646i) q^{11} +(-1.44098 - 5.82440i) q^{12} +(5.81481 + 19.4228i) q^{13} +(-1.96812 - 1.85682i) q^{14} +(0.917383 + 2.07057i) q^{15} +(2.38863 - 3.20849i) q^{16} +(-24.4120 - 4.30450i) q^{17} +(-2.69139 + 12.4401i) q^{18} +(5.59322 + 31.7207i) q^{19} +(-0.677595 + 1.34920i) q^{20} +(2.01603 + 5.37414i) q^{21} +(22.5774 - 2.63892i) q^{22} +(4.73528 - 7.19964i) q^{23} +(-7.54495 + 3.88249i) q^{24} +(-7.00664 + 23.4038i) q^{25} +(24.8311 - 14.3363i) q^{26} +(16.7383 - 21.1856i) q^{27} +(-1.91328 + 3.31389i) q^{28} +(14.0691 - 13.2736i) q^{29} +(2.55010 - 1.93770i) q^{30} +(3.26584 - 56.0722i) q^{31} +(-5.19421 - 2.24057i) q^{32} +(-45.4718 - 16.0463i) q^{33} +(2.03835 + 34.9971i) q^{34} +(0.493990 - 1.35723i) q^{35} +(17.9965 - 0.353617i) q^{36} +(22.6310 - 8.23702i) q^{37} +(41.8265 - 18.0422i) q^{38} +(-60.6831 + 4.13288i) q^{39} +(2.07762 + 0.492405i) q^{40} +(2.75433 - 11.6214i) q^{41} +(6.73780 - 4.52696i) q^{42} +(24.1722 + 56.0374i) q^{43} +(-10.9948 - 30.2080i) q^{44} +(-6.66639 + 1.31100i) q^{45} +(-11.4517 - 4.16809i) q^{46} +(21.9201 - 1.27670i) q^{47} +(7.80338 + 9.11632i) q^{48} +(-17.9580 + 41.6313i) q^{49} +(34.4910 + 2.00887i) q^{50} +(28.7826 - 68.5700i) q^{51} +(-27.8265 - 29.4943i) q^{52} +(-68.0003 - 39.2600i) q^{53} +(-34.6124 - 16.1240i) q^{54} +(6.06686 + 10.5081i) q^{55} +(5.18422 + 1.55206i) q^{56} +(-96.5173 - 4.67067i) q^{57} +(-22.8542 - 15.0314i) q^{58} +(-2.00791 - 17.1788i) q^{59} +(-3.49814 - 2.87721i) q^{60} +(-0.791900 - 0.397707i) q^{61} +(-78.2257 + 13.7933i) q^{62} +(-17.0605 + 2.33467i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(12.2767 + 9.13964i) q^{65} +(-7.25104 + 67.8067i) q^{66} +(49.4104 - 52.3720i) q^{67} +(47.4945 - 14.2189i) q^{68} +(17.9245 + 18.6288i) q^{69} +(-2.02878 - 0.237130i) q^{70} +(57.3861 - 68.3901i) q^{71} +(-6.35600 - 24.6496i) q^{72} +(24.8925 - 20.8873i) q^{73} +(-18.7158 - 28.4560i) q^{74} +(-63.8282 - 36.0199i) q^{75} +(-38.4690 - 51.6729i) q^{76} +(13.8018 + 27.4817i) q^{77} +(25.4784 + 82.1577i) q^{78} +(-10.8489 + 2.57125i) q^{79} -3.01959i q^{80} +(50.8848 + 63.0217i) q^{81} -16.8904 q^{82} +(16.3180 + 68.8511i) q^{83} +(-8.42699 - 7.79542i) q^{84} +(-16.7224 + 8.39833i) q^{85} +(69.2292 - 51.5392i) q^{86} +(29.5058 + 49.9656i) q^{87} +(-37.9831 + 24.9819i) q^{88} +(-2.69527 - 3.21210i) q^{89} +(3.97823 + 8.74601i) q^{90} +(29.7155 + 24.9343i) q^{91} +(-2.00081 + 17.1180i) q^{92} +(161.890 + 46.7388i) q^{93} +(-8.90588 - 29.7477i) q^{94} +(17.6863 + 16.6862i) q^{95} +(9.99991 - 13.7114i) q^{96} +(-8.09599 + 10.8748i) q^{97} +(63.1454 + 11.1342i) q^{98} +(77.1022 - 122.400i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326140 1.37609i −0.163070 0.688047i
\(3\) −0.663139 + 2.92579i −0.221046 + 0.975263i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) 0.605521 0.450794i 0.121104 0.0901587i −0.534903 0.844914i \(-0.679652\pi\)
0.656007 + 0.754755i \(0.272244\pi\)
\(6\) 4.24244 0.0416761i 0.707073 0.00694602i
\(7\) 1.59852 1.05136i 0.228360 0.150195i −0.430173 0.902746i \(-0.641548\pi\)
0.658533 + 0.752552i \(0.271177\pi\)
\(8\) 1.81808 + 2.16670i 0.227260 + 0.270838i
\(9\) −8.12049 3.88041i −0.902277 0.431157i
\(10\) −0.817819 0.686231i −0.0817819 0.0686231i
\(11\) −1.86600 + 15.9646i −0.169636 + 1.45133i 0.593365 + 0.804934i \(0.297799\pi\)
−0.763001 + 0.646397i \(0.776275\pi\)
\(12\) −1.44098 5.82440i −0.120082 0.485366i
\(13\) 5.81481 + 19.4228i 0.447293 + 1.49406i 0.823387 + 0.567480i \(0.192082\pi\)
−0.376094 + 0.926581i \(0.622733\pi\)
\(14\) −1.96812 1.85682i −0.140580 0.132630i
\(15\) 0.917383 + 2.07057i 0.0611589 + 0.138038i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) −24.4120 4.30450i −1.43600 0.253206i −0.599151 0.800636i \(-0.704495\pi\)
−0.836851 + 0.547430i \(0.815606\pi\)
\(18\) −2.69139 + 12.4401i −0.149522 + 0.691117i
\(19\) 5.59322 + 31.7207i 0.294380 + 1.66951i 0.669712 + 0.742621i \(0.266418\pi\)
−0.375332 + 0.926891i \(0.622471\pi\)
\(20\) −0.677595 + 1.34920i −0.0338798 + 0.0674601i
\(21\) 2.01603 + 5.37414i 0.0960013 + 0.255911i
\(22\) 22.5774 2.63892i 1.02625 0.119951i
\(23\) 4.73528 7.19964i 0.205882 0.313028i −0.717756 0.696295i \(-0.754831\pi\)
0.923638 + 0.383267i \(0.125201\pi\)
\(24\) −7.54495 + 3.88249i −0.314373 + 0.161770i
\(25\) −7.00664 + 23.4038i −0.280266 + 0.936152i
\(26\) 24.8311 14.3363i 0.955044 0.551395i
\(27\) 16.7383 21.1856i 0.619936 0.784652i
\(28\) −1.91328 + 3.31389i −0.0683314 + 0.118353i
\(29\) 14.0691 13.2736i 0.485143 0.457709i −0.404385 0.914589i \(-0.632515\pi\)
0.889528 + 0.456880i \(0.151033\pi\)
\(30\) 2.55010 1.93770i 0.0850032 0.0645900i
\(31\) 3.26584 56.0722i 0.105350 1.80878i −0.370050 0.929012i \(-0.620659\pi\)
0.475400 0.879770i \(-0.342304\pi\)
\(32\) −5.19421 2.24057i −0.162319 0.0700177i
\(33\) −45.4718 16.0463i −1.37793 0.486252i
\(34\) 2.03835 + 34.9971i 0.0599515 + 1.02933i
\(35\) 0.493990 1.35723i 0.0141140 0.0387779i
\(36\) 17.9965 0.353617i 0.499904 0.00982268i
\(37\) 22.6310 8.23702i 0.611649 0.222622i −0.0175754 0.999846i \(-0.505595\pi\)
0.629225 + 0.777223i \(0.283372\pi\)
\(38\) 41.8265 18.0422i 1.10070 0.474795i
\(39\) −60.6831 + 4.13288i −1.55598 + 0.105971i
\(40\) 2.07762 + 0.492405i 0.0519405 + 0.0123101i
\(41\) 2.75433 11.6214i 0.0671787 0.283449i −0.929079 0.369881i \(-0.879398\pi\)
0.996258 + 0.0864320i \(0.0275465\pi\)
\(42\) 6.73780 4.52696i 0.160424 0.107785i
\(43\) 24.1722 + 56.0374i 0.562144 + 1.30320i 0.928019 + 0.372532i \(0.121510\pi\)
−0.365876 + 0.930664i \(0.619231\pi\)
\(44\) −10.9948 30.2080i −0.249882 0.686545i
\(45\) −6.66639 + 1.31100i −0.148142 + 0.0291333i
\(46\) −11.4517 4.16809i −0.248951 0.0906107i
\(47\) 21.9201 1.27670i 0.466385 0.0271638i 0.176656 0.984273i \(-0.443472\pi\)
0.289729 + 0.957109i \(0.406435\pi\)
\(48\) 7.80338 + 9.11632i 0.162570 + 0.189923i
\(49\) −17.9580 + 41.6313i −0.366490 + 0.849619i
\(50\) 34.4910 + 2.00887i 0.689819 + 0.0401774i
\(51\) 28.7826 68.5700i 0.564365 1.34451i
\(52\) −27.8265 29.4943i −0.535125 0.567199i
\(53\) −68.0003 39.2600i −1.28303 0.740755i −0.305625 0.952152i \(-0.598865\pi\)
−0.977400 + 0.211397i \(0.932199\pi\)
\(54\) −34.6124 16.1240i −0.640970 0.298592i
\(55\) 6.06686 + 10.5081i 0.110307 + 0.191056i
\(56\) 5.18422 + 1.55206i 0.0925754 + 0.0277153i
\(57\) −96.5173 4.67067i −1.69329 0.0819415i
\(58\) −22.8542 15.0314i −0.394037 0.259162i
\(59\) −2.00791 17.1788i −0.0340324 0.291166i −0.999527 0.0307438i \(-0.990212\pi\)
0.965495 0.260422i \(-0.0838617\pi\)
\(60\) −3.49814 2.87721i −0.0583024 0.0479535i
\(61\) −0.791900 0.397707i −0.0129820 0.00651979i 0.442296 0.896869i \(-0.354164\pi\)
−0.455278 + 0.890349i \(0.650460\pi\)
\(62\) −78.2257 + 13.7933i −1.26171 + 0.222473i
\(63\) −17.0605 + 2.33467i −0.270802 + 0.0370583i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) 12.2767 + 9.13964i 0.188872 + 0.140610i
\(66\) −7.25104 + 67.8067i −0.109864 + 1.02737i
\(67\) 49.4104 52.3720i 0.737469 0.781671i −0.244715 0.969595i \(-0.578694\pi\)
0.982184 + 0.187924i \(0.0601758\pi\)
\(68\) 47.4945 14.2189i 0.698448 0.209102i
\(69\) 17.9245 + 18.6288i 0.259775 + 0.269982i
\(70\) −2.02878 0.237130i −0.0289826 0.00338757i
\(71\) 57.3861 68.3901i 0.808255 0.963241i −0.191579 0.981477i \(-0.561361\pi\)
0.999834 + 0.0182364i \(0.00580516\pi\)
\(72\) −6.35600 24.6496i −0.0882778 0.342355i
\(73\) 24.8925 20.8873i 0.340993 0.286128i −0.456168 0.889894i \(-0.650778\pi\)
0.797161 + 0.603766i \(0.206334\pi\)
\(74\) −18.7158 28.4560i −0.252916 0.384540i
\(75\) −63.8282 36.0199i −0.851043 0.480266i
\(76\) −38.4690 51.6729i −0.506172 0.679906i
\(77\) 13.8018 + 27.4817i 0.179244 + 0.356905i
\(78\) 25.4784 + 82.1577i 0.326646 + 1.05330i
\(79\) −10.8489 + 2.57125i −0.137328 + 0.0325474i −0.298705 0.954345i \(-0.596555\pi\)
0.161377 + 0.986893i \(0.448407\pi\)
\(80\) 3.01959i 0.0377449i
\(81\) 50.8848 + 63.0217i 0.628208 + 0.778046i
\(82\) −16.8904 −0.205981
\(83\) 16.3180 + 68.8511i 0.196603 + 0.829532i 0.978520 + 0.206150i \(0.0660935\pi\)
−0.781918 + 0.623382i \(0.785758\pi\)
\(84\) −8.42699 7.79542i −0.100321 0.0928027i
\(85\) −16.7224 + 8.39833i −0.196735 + 0.0988038i
\(86\) 69.2292 51.5392i 0.804990 0.599293i
\(87\) 29.5058 + 49.9656i 0.339147 + 0.574317i
\(88\) −37.9831 + 24.9819i −0.431627 + 0.283885i
\(89\) −2.69527 3.21210i −0.0302839 0.0360910i 0.750690 0.660655i \(-0.229721\pi\)
−0.780974 + 0.624564i \(0.785277\pi\)
\(90\) 3.97823 + 8.74601i 0.0442026 + 0.0971779i
\(91\) 29.7155 + 24.9343i 0.326544 + 0.274003i
\(92\) −2.00081 + 17.1180i −0.0217480 + 0.186066i
\(93\) 161.890 + 46.7388i 1.74075 + 0.502568i
\(94\) −8.90588 29.7477i −0.0947434 0.316465i
\(95\) 17.6863 + 16.6862i 0.186172 + 0.175644i
\(96\) 9.99991 13.7114i 0.104166 0.142827i
\(97\) −8.09599 + 10.8748i −0.0834638 + 0.112111i −0.841894 0.539643i \(-0.818559\pi\)
0.758430 + 0.651754i \(0.225967\pi\)
\(98\) 63.1454 + 11.1342i 0.644341 + 0.113615i
\(99\) 77.1022 122.400i 0.778810 1.23636i
\(100\) −8.48449 48.1180i −0.0848449 0.481180i
\(101\) −75.3076 + 149.950i −0.745619 + 1.48465i 0.124717 + 0.992192i \(0.460198\pi\)
−0.870336 + 0.492458i \(0.836099\pi\)
\(102\) −103.746 17.2442i −1.01712 0.169060i
\(103\) 107.786 12.5984i 1.04647 0.122314i 0.424555 0.905402i \(-0.360431\pi\)
0.621911 + 0.783088i \(0.286357\pi\)
\(104\) −31.5116 + 47.9111i −0.302997 + 0.460684i
\(105\) 3.64337 + 2.34534i 0.0346988 + 0.0223366i
\(106\) −31.8478 + 106.379i −0.300451 + 1.00358i
\(107\) 17.7748 10.2623i 0.166120 0.0959093i −0.414635 0.909988i \(-0.636091\pi\)
0.580755 + 0.814078i \(0.302757\pi\)
\(108\) −10.8996 + 52.8886i −0.100922 + 0.489709i
\(109\) 21.2975 36.8883i 0.195390 0.338425i −0.751638 0.659575i \(-0.770736\pi\)
0.947028 + 0.321150i \(0.104069\pi\)
\(110\) 12.4815 11.7757i 0.113468 0.107052i
\(111\) 9.09227 + 71.6759i 0.0819124 + 0.645729i
\(112\) 0.444989 7.64016i 0.00397312 0.0682158i
\(113\) 18.9591 + 8.17815i 0.167779 + 0.0723730i 0.478313 0.878189i \(-0.341248\pi\)
−0.310534 + 0.950562i \(0.600508\pi\)
\(114\) 25.0509 + 134.340i 0.219745 + 1.17842i
\(115\) −0.378242 6.49416i −0.00328906 0.0564710i
\(116\) −13.2310 + 36.3518i −0.114060 + 0.313378i
\(117\) 28.1494 180.287i 0.240593 1.54091i
\(118\) −22.9847 + 8.36576i −0.194786 + 0.0708963i
\(119\) −43.5487 + 18.7851i −0.365956 + 0.157858i
\(120\) −2.81842 + 5.75215i −0.0234869 + 0.0479345i
\(121\) −133.649 31.6755i −1.10454 0.261781i
\(122\) −0.289012 + 1.21944i −0.00236895 + 0.00999538i
\(123\) 32.1753 + 15.7652i 0.261588 + 0.128172i
\(124\) 44.4934 + 103.147i 0.358818 + 0.831834i
\(125\) 12.7624 + 35.0643i 0.102099 + 0.280515i
\(126\) 8.77684 + 22.7154i 0.0696575 + 0.180281i
\(127\) 169.877 + 61.8301i 1.33761 + 0.486851i 0.909060 0.416666i \(-0.136801\pi\)
0.428553 + 0.903517i \(0.359024\pi\)
\(128\) 11.2946 0.657834i 0.0882388 0.00513933i
\(129\) −179.983 + 33.5621i −1.39522 + 0.260171i
\(130\) 8.57308 19.8746i 0.0659468 0.152882i
\(131\) −105.715 6.15719i −0.806984 0.0470014i −0.350308 0.936635i \(-0.613923\pi\)
−0.456676 + 0.889633i \(0.650960\pi\)
\(132\) 95.6733 12.1364i 0.724797 0.0919424i
\(133\) 42.2909 + 44.8257i 0.317977 + 0.337036i
\(134\) −88.1834 50.9127i −0.658085 0.379946i
\(135\) 0.585047 20.3738i 0.00433368 0.150917i
\(136\) −35.0564 60.7195i −0.257768 0.446467i
\(137\) 193.022 + 57.7870i 1.40892 + 0.421803i 0.898822 0.438313i \(-0.144424\pi\)
0.510098 + 0.860116i \(0.329609\pi\)
\(138\) 19.7891 30.7413i 0.143399 0.222763i
\(139\) −209.433 137.746i −1.50671 0.990980i −0.990947 0.134250i \(-0.957137\pi\)
−0.515765 0.856730i \(-0.672492\pi\)
\(140\) 0.335353 + 2.86913i 0.00239538 + 0.0204938i
\(141\) −10.8007 + 64.9802i −0.0766008 + 0.460853i
\(142\) −112.827 56.6639i −0.794557 0.399041i
\(143\) −320.929 + 56.5884i −2.24426 + 0.395723i
\(144\) −31.8472 + 16.7857i −0.221161 + 0.116567i
\(145\) 2.53553 14.3797i 0.0174864 0.0991703i
\(146\) −36.8613 27.4422i −0.252475 0.187961i
\(147\) −109.896 80.1487i −0.747591 0.545229i
\(148\) −33.0541 + 35.0353i −0.223339 + 0.236725i
\(149\) −3.62279 + 1.08459i −0.0243140 + 0.00727913i −0.298937 0.954273i \(-0.596632\pi\)
0.274623 + 0.961552i \(0.411447\pi\)
\(150\) −28.7498 + 99.5812i −0.191666 + 0.663874i
\(151\) 58.2537 + 6.80888i 0.385786 + 0.0450919i 0.306776 0.951782i \(-0.400750\pi\)
0.0790105 + 0.996874i \(0.474824\pi\)
\(152\) −58.5604 + 69.7896i −0.385266 + 0.459142i
\(153\) 181.535 + 129.683i 1.18650 + 0.847604i
\(154\) 33.3160 27.9554i 0.216338 0.181529i
\(155\) −23.2995 35.4251i −0.150319 0.228549i
\(156\) 104.747 61.8556i 0.671456 0.396510i
\(157\) −44.8728 60.2746i −0.285814 0.383915i 0.635909 0.771764i \(-0.280625\pi\)
−0.921723 + 0.387849i \(0.873218\pi\)
\(158\) 7.07655 + 14.0906i 0.0447883 + 0.0891809i
\(159\) 159.960 172.920i 1.00604 1.08755i
\(160\) −4.15524 + 0.984810i −0.0259702 + 0.00615506i
\(161\) 16.4873i 0.102405i
\(162\) 70.1282 90.5762i 0.432890 0.559112i
\(163\) 34.4621 0.211424 0.105712 0.994397i \(-0.466288\pi\)
0.105712 + 0.994397i \(0.466288\pi\)
\(164\) 5.50865 + 23.2428i 0.0335893 + 0.141725i
\(165\) −34.7677 + 10.7820i −0.210713 + 0.0653456i
\(166\) 89.4236 44.9102i 0.538696 0.270543i
\(167\) 47.5082 35.3685i 0.284480 0.211788i −0.445455 0.895305i \(-0.646958\pi\)
0.729935 + 0.683517i \(0.239551\pi\)
\(168\) −7.97885 + 14.1387i −0.0474932 + 0.0841591i
\(169\) −202.236 + 133.013i −1.19666 + 0.787057i
\(170\) 17.0107 + 20.2726i 0.100063 + 0.119251i
\(171\) 77.6698 279.292i 0.454209 1.63329i
\(172\) −93.5012 78.4568i −0.543611 0.456144i
\(173\) −17.2128 + 147.265i −0.0994959 + 0.851242i 0.847676 + 0.530515i \(0.178001\pi\)
−0.947172 + 0.320727i \(0.896073\pi\)
\(174\) 59.1343 56.8986i 0.339852 0.327003i
\(175\) 13.4057 + 44.7780i 0.0766037 + 0.255874i
\(176\) 46.7652 + 44.1207i 0.265712 + 0.250686i
\(177\) 51.5930 + 5.51719i 0.291486 + 0.0311706i
\(178\) −3.54111 + 4.75653i −0.0198939 + 0.0267221i
\(179\) 9.80714 + 1.72926i 0.0547885 + 0.00966069i 0.200975 0.979596i \(-0.435589\pi\)
−0.146187 + 0.989257i \(0.546700\pi\)
\(180\) 10.7379 8.32684i 0.0596548 0.0462602i
\(181\) 33.4580 + 189.750i 0.184851 + 1.04834i 0.926147 + 0.377164i \(0.123101\pi\)
−0.741296 + 0.671179i \(0.765788\pi\)
\(182\) 24.6205 49.0234i 0.135277 0.269359i
\(183\) 1.68875 2.05320i 0.00922812 0.0112197i
\(184\) 24.2086 2.82957i 0.131568 0.0153781i
\(185\) 9.99037 15.1896i 0.0540020 0.0821060i
\(186\) 11.5182 238.019i 0.0619259 1.27967i
\(187\) 114.273 381.697i 0.611084 2.04116i
\(188\) −38.0311 + 21.9572i −0.202293 + 0.116794i
\(189\) 4.48272 51.4636i 0.0237181 0.272294i
\(190\) 17.1935 29.7801i 0.0904922 0.156737i
\(191\) −181.095 + 170.854i −0.948141 + 0.894525i −0.994536 0.104398i \(-0.966708\pi\)
0.0463947 + 0.998923i \(0.485227\pi\)
\(192\) −22.1295 9.28898i −0.115258 0.0483801i
\(193\) 11.8300 203.114i 0.0612954 1.05240i −0.817722 0.575613i \(-0.804763\pi\)
0.879018 0.476789i \(-0.158199\pi\)
\(194\) 17.6052 + 7.59412i 0.0907482 + 0.0391450i
\(195\) −34.8818 + 29.8581i −0.178881 + 0.153118i
\(196\) −5.27250 90.5253i −0.0269005 0.461864i
\(197\) 37.8158 103.898i 0.191958 0.527401i −0.805954 0.591978i \(-0.798347\pi\)
0.997913 + 0.0645762i \(0.0205696\pi\)
\(198\) −193.580 66.1803i −0.977676 0.334244i
\(199\) 214.279 77.9913i 1.07678 0.391916i 0.258072 0.966126i \(-0.416913\pi\)
0.818708 + 0.574210i \(0.194691\pi\)
\(200\) −63.4477 + 27.3687i −0.317238 + 0.136843i
\(201\) 120.463 + 179.294i 0.599320 + 0.892012i
\(202\) 230.906 + 54.7256i 1.14310 + 0.270919i
\(203\) 8.53449 36.0098i 0.0420418 0.177388i
\(204\) 10.1061 + 148.388i 0.0495398 + 0.727392i
\(205\) −3.57106 8.27864i −0.0174198 0.0403836i
\(206\) −52.4898 144.215i −0.254805 0.700071i
\(207\) −66.3903 + 40.0898i −0.320726 + 0.193670i
\(208\) 76.2074 + 27.7372i 0.366382 + 0.133352i
\(209\) −516.847 + 30.1029i −2.47295 + 0.144033i
\(210\) 2.03916 5.77853i 0.00971027 0.0275168i
\(211\) 25.3723 58.8196i 0.120248 0.278766i −0.847452 0.530873i \(-0.821864\pi\)
0.967699 + 0.252107i \(0.0811235\pi\)
\(212\) 156.774 + 9.13107i 0.739502 + 0.0430711i
\(213\) 162.040 + 213.252i 0.760752 + 1.00118i
\(214\) −19.9189 21.1129i −0.0930792 0.0986582i
\(215\) 39.8981 + 23.0352i 0.185572 + 0.107140i
\(216\) 76.3344 2.25022i 0.353400 0.0104177i
\(217\) −53.7318 93.0662i −0.247612 0.428877i
\(218\) −57.7078 17.2766i −0.264714 0.0792503i
\(219\) 44.6047 + 86.6815i 0.203674 + 0.395806i
\(220\) −20.2751 13.3352i −0.0921597 0.0606144i
\(221\) −58.3458 499.180i −0.264008 2.25873i
\(222\) 95.6674 35.8882i 0.430934 0.161659i
\(223\) −105.110 52.7884i −0.471347 0.236719i 0.197237 0.980356i \(-0.436803\pi\)
−0.668584 + 0.743637i \(0.733099\pi\)
\(224\) −10.6587 + 1.87942i −0.0475835 + 0.00839026i
\(225\) 147.714 162.862i 0.656506 0.723830i
\(226\) 5.07058 28.7567i 0.0224362 0.127242i
\(227\) 348.088 + 259.142i 1.53343 + 1.14159i 0.942183 + 0.335099i \(0.108770\pi\)
0.591242 + 0.806494i \(0.298638\pi\)
\(228\) 176.694 78.2860i 0.774975 0.343360i
\(229\) −169.513 + 179.673i −0.740232 + 0.784600i −0.982630 0.185577i \(-0.940585\pi\)
0.242398 + 0.970177i \(0.422066\pi\)
\(230\) −8.81322 + 2.63850i −0.0383183 + 0.0114718i
\(231\) −89.5581 + 22.1570i −0.387697 + 0.0959178i
\(232\) 54.3386 + 6.35127i 0.234218 + 0.0273762i
\(233\) 137.767 164.185i 0.591276 0.704655i −0.384575 0.923094i \(-0.625652\pi\)
0.975851 + 0.218439i \(0.0700964\pi\)
\(234\) −257.272 + 20.0625i −1.09945 + 0.0857372i
\(235\) 12.6976 10.6545i 0.0540321 0.0453383i
\(236\) 19.0083 + 28.9007i 0.0805437 + 0.122461i
\(237\) −0.328569 33.4468i −0.00138637 0.141126i
\(238\) 40.0530 + 53.8005i 0.168290 + 0.226053i
\(239\) 192.897 + 384.089i 0.807100 + 1.60707i 0.794590 + 0.607146i \(0.207686\pi\)
0.0125096 + 0.999922i \(0.496018\pi\)
\(240\) 8.83469 + 2.00241i 0.0368112 + 0.00834337i
\(241\) −407.313 + 96.5351i −1.69010 + 0.400560i −0.959379 0.282119i \(-0.908963\pi\)
−0.730718 + 0.682680i \(0.760814\pi\)
\(242\) 194.245i 0.802664i
\(243\) −218.132 + 107.086i −0.897663 + 0.440684i
\(244\) 1.77232 0.00726359
\(245\) 7.89319 + 33.3040i 0.0322171 + 0.135935i
\(246\) 11.2007 49.4179i 0.0455314 0.200886i
\(247\) −583.582 + 293.086i −2.36268 + 1.18658i
\(248\) 127.429 94.8676i 0.513828 0.382531i
\(249\) −212.265 + 2.08521i −0.852470 + 0.00837435i
\(250\) 44.0895 28.9981i 0.176358 0.115992i
\(251\) 221.241 + 263.664i 0.881437 + 1.05046i 0.998356 + 0.0573139i \(0.0182536\pi\)
−0.116920 + 0.993141i \(0.537302\pi\)
\(252\) 28.3960 19.4862i 0.112683 0.0773260i
\(253\) 106.104 + 89.0315i 0.419382 + 0.351903i
\(254\) 29.6803 253.932i 0.116852 0.999731i
\(255\) −13.4824 54.4956i −0.0528723 0.213708i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) −287.651 271.384i −1.11926 1.05597i −0.997991 0.0633511i \(-0.979821\pi\)
−0.121272 0.992619i \(-0.538697\pi\)
\(258\) 104.884 + 236.728i 0.406528 + 0.917549i
\(259\) 27.5161 36.9605i 0.106240 0.142705i
\(260\) −30.1454 5.31544i −0.115944 0.0204440i
\(261\) −165.755 + 53.1937i −0.635078 + 0.203807i
\(262\) 26.0050 + 147.482i 0.0992557 + 0.562907i
\(263\) 70.0298 139.441i 0.266273 0.530193i −0.720270 0.693693i \(-0.755982\pi\)
0.986543 + 0.163501i \(0.0522786\pi\)
\(264\) −47.9037 127.697i −0.181453 0.483701i
\(265\) −58.8738 + 6.88136i −0.222165 + 0.0259674i
\(266\) 47.8916 72.8157i 0.180044 0.273743i
\(267\) 11.1853 5.75572i 0.0418923 0.0215570i
\(268\) −41.3005 + 137.953i −0.154106 + 0.514751i
\(269\) −9.77314 + 5.64252i −0.0363314 + 0.0209759i −0.518056 0.855347i \(-0.673344\pi\)
0.481724 + 0.876323i \(0.340011\pi\)
\(270\) −28.2271 + 5.83965i −0.104545 + 0.0216283i
\(271\) 82.7022 143.244i 0.305174 0.528577i −0.672126 0.740437i \(-0.734619\pi\)
0.977300 + 0.211860i \(0.0679520\pi\)
\(272\) −72.1224 + 68.0440i −0.265156 + 0.250162i
\(273\) −92.6580 + 70.4065i −0.339407 + 0.257899i
\(274\) 16.5681 284.463i 0.0604675 1.03819i
\(275\) −360.559 155.530i −1.31112 0.565564i
\(276\) −48.7570 17.2056i −0.176656 0.0623391i
\(277\) −18.6450 320.122i −0.0673104 1.15568i −0.847733 0.530423i \(-0.822033\pi\)
0.780423 0.625253i \(-0.215004\pi\)
\(278\) −121.247 + 333.124i −0.436141 + 1.19829i
\(279\) −244.104 + 442.661i −0.874923 + 1.58660i
\(280\) 3.83881 1.39721i 0.0137100 0.00499005i
\(281\) 353.513 152.491i 1.25805 0.542671i 0.340486 0.940250i \(-0.389409\pi\)
0.917568 + 0.397578i \(0.130149\pi\)
\(282\) 92.9414 6.32986i 0.329579 0.0224463i
\(283\) 394.111 + 93.4060i 1.39262 + 0.330056i 0.857397 0.514656i \(-0.172080\pi\)
0.535221 + 0.844712i \(0.320229\pi\)
\(284\) −41.1774 + 173.741i −0.144991 + 0.611764i
\(285\) −60.5487 + 40.6812i −0.212452 + 0.142741i
\(286\) 182.539 + 423.172i 0.638247 + 1.47962i
\(287\) −7.81548 21.4729i −0.0272317 0.0748183i
\(288\) 33.4853 + 38.3502i 0.116268 + 0.133160i
\(289\) 305.848 + 111.319i 1.05830 + 0.385188i
\(290\) −20.6147 + 1.20067i −0.0710853 + 0.00414025i
\(291\) −26.4486 30.8987i −0.0908887 0.106181i
\(292\) −25.7411 + 59.6746i −0.0881546 + 0.204365i
\(293\) 571.550 + 33.2890i 1.95068 + 0.113614i 0.987741 0.156102i \(-0.0498927\pi\)
0.962940 + 0.269716i \(0.0869298\pi\)
\(294\) −74.4507 + 177.367i −0.253234 + 0.603288i
\(295\) −8.95992 9.49696i −0.0303726 0.0321931i
\(296\) 58.9921 + 34.0591i 0.199298 + 0.115065i
\(297\) 306.987 + 306.753i 1.03363 + 1.03284i
\(298\) 2.67403 + 4.63156i 0.00897327 + 0.0155422i
\(299\) 167.372 + 50.1078i 0.559772 + 0.167585i
\(300\) 146.409 + 7.08505i 0.488031 + 0.0236168i
\(301\) 97.5554 + 64.1632i 0.324104 + 0.213167i
\(302\) −9.62921 82.3832i −0.0318848 0.272792i
\(303\) −388.782 319.772i −1.28311 1.05535i
\(304\) 115.136 + 57.8234i 0.378736 + 0.190209i
\(305\) −0.658796 + 0.116163i −0.00215999 + 0.000380864i
\(306\) 119.251 292.103i 0.389708 0.954586i
\(307\) −76.2689 + 432.543i −0.248433 + 1.40893i 0.563950 + 0.825809i \(0.309281\pi\)
−0.812383 + 0.583125i \(0.801830\pi\)
\(308\) −49.3350 36.7285i −0.160178 0.119248i
\(309\) −34.6169 + 323.713i −0.112029 + 1.04762i
\(310\) −41.1494 + 43.6158i −0.132740 + 0.140696i
\(311\) −13.1043 + 3.92317i −0.0421360 + 0.0126147i −0.307802 0.951450i \(-0.599593\pi\)
0.265666 + 0.964065i \(0.414408\pi\)
\(312\) −119.281 123.968i −0.382312 0.397334i
\(313\) 96.6135 + 11.2925i 0.308669 + 0.0360783i 0.269017 0.963135i \(-0.413301\pi\)
0.0396518 + 0.999214i \(0.487375\pi\)
\(314\) −68.3087 + 81.4071i −0.217544 + 0.259258i
\(315\) −9.27803 + 9.10446i −0.0294541 + 0.0289030i
\(316\) 17.0820 14.3335i 0.0540570 0.0453592i
\(317\) −137.220 208.633i −0.432870 0.658147i 0.551517 0.834164i \(-0.314049\pi\)
−0.984387 + 0.176017i \(0.943679\pi\)
\(318\) −290.123 163.724i −0.912337 0.514856i
\(319\) 185.655 + 249.377i 0.581989 + 0.781747i
\(320\) 2.71038 + 5.39681i 0.00846994 + 0.0168650i
\(321\) 18.2381 + 58.8107i 0.0568166 + 0.183211i
\(322\) −22.6880 + 5.37716i −0.0704597 + 0.0166992i
\(323\) 798.443i 2.47196i
\(324\) −147.513 66.9624i −0.455287 0.206674i
\(325\) −495.310 −1.52403
\(326\) −11.2395 47.4231i −0.0344769 0.145470i
\(327\) 93.8043 + 86.7741i 0.286863 + 0.265364i
\(328\) 30.1877 15.1608i 0.0920357 0.0462221i
\(329\) 33.6974 25.0868i 0.102424 0.0762517i
\(330\) 26.1762 + 44.3271i 0.0793218 + 0.134325i
\(331\) −39.1833 + 25.7713i −0.118379 + 0.0778588i −0.607318 0.794459i \(-0.707754\pi\)
0.488939 + 0.872318i \(0.337384\pi\)
\(332\) −90.9653 108.408i −0.273992 0.326531i
\(333\) −215.738 20.9290i −0.647862 0.0628500i
\(334\) −64.1647 53.8406i −0.192110 0.161199i
\(335\) 6.31008 53.9862i 0.0188361 0.161153i
\(336\) 22.0584 + 6.36844i 0.0656501 + 0.0189537i
\(337\) −2.57928 8.61538i −0.00765364 0.0255649i 0.954077 0.299560i \(-0.0968399\pi\)
−0.961731 + 0.273995i \(0.911655\pi\)
\(338\) 248.995 + 234.915i 0.736672 + 0.695014i
\(339\) −36.5000 + 50.0470i −0.107670 + 0.147631i
\(340\) 22.3491 30.0201i 0.0657327 0.0882943i
\(341\) 889.079 + 156.769i 2.60727 + 0.459732i
\(342\) −409.663 15.7925i −1.19784 0.0461770i
\(343\) 31.3431 + 177.755i 0.0913792 + 0.518237i
\(344\) −77.4694 + 154.254i −0.225202 + 0.448413i
\(345\) 19.2514 + 3.19988i 0.0558011 + 0.00927501i
\(346\) 208.264 24.3426i 0.601919 0.0703542i
\(347\) −112.067 + 170.389i −0.322959 + 0.491035i −0.960079 0.279730i \(-0.909755\pi\)
0.637120 + 0.770764i \(0.280125\pi\)
\(348\) −97.5838 62.8174i −0.280413 0.180510i
\(349\) 136.600 456.276i 0.391404 1.30738i −0.504607 0.863349i \(-0.668362\pi\)
0.896011 0.444032i \(-0.146452\pi\)
\(350\) 57.2466 33.0513i 0.163562 0.0944324i
\(351\) 508.814 + 201.914i 1.44961 + 0.575254i
\(352\) 45.4622 78.7429i 0.129154 0.223701i
\(353\) 267.002 251.903i 0.756379 0.713606i −0.208001 0.978129i \(-0.566696\pi\)
0.964380 + 0.264522i \(0.0852142\pi\)
\(354\) −9.23438 72.7962i −0.0260858 0.205639i
\(355\) 3.91867 67.2809i 0.0110385 0.189524i
\(356\) 7.70033 + 3.32160i 0.0216301 + 0.00933033i
\(357\) −26.0824 139.872i −0.0730598 0.391797i
\(358\) −0.818874 14.0595i −0.00228736 0.0392724i
\(359\) 18.0437 49.5746i 0.0502610 0.138091i −0.912022 0.410141i \(-0.865479\pi\)
0.962283 + 0.272050i \(0.0877017\pi\)
\(360\) −14.9606 12.0606i −0.0415571 0.0335016i
\(361\) −635.691 + 231.373i −1.76092 + 0.640922i
\(362\) 250.202 107.926i 0.691165 0.298139i
\(363\) 181.304 370.025i 0.499460 1.01935i
\(364\) −75.4905 17.8916i −0.207391 0.0491527i
\(365\) 5.65708 23.8691i 0.0154988 0.0653948i
\(366\) −3.37616 1.65424i −0.00922448 0.00451979i
\(367\) 202.750 + 470.027i 0.552451 + 1.28073i 0.934296 + 0.356499i \(0.116030\pi\)
−0.381844 + 0.924227i \(0.624711\pi\)
\(368\) −11.7891 32.3904i −0.0320357 0.0880174i
\(369\) −67.4623 + 83.6837i −0.182825 + 0.226785i
\(370\) −24.1606 8.79373i −0.0652989 0.0237668i
\(371\) −149.976 + 8.73514i −0.404249 + 0.0235448i
\(372\) −331.293 + 61.7774i −0.890572 + 0.166068i
\(373\) 29.3668 68.0800i 0.0787315 0.182520i −0.874304 0.485379i \(-0.838682\pi\)
0.953035 + 0.302859i \(0.0979410\pi\)
\(374\) −562.520 32.7630i −1.50406 0.0876017i
\(375\) −111.054 + 14.0875i −0.296144 + 0.0375667i
\(376\) 42.6187 + 45.1732i 0.113348 + 0.120141i
\(377\) 339.619 + 196.079i 0.900846 + 0.520104i
\(378\) −72.2808 + 10.6157i −0.191219 + 0.0280839i
\(379\) −218.524 378.494i −0.576580 0.998665i −0.995868 0.0908120i \(-0.971054\pi\)
0.419288 0.907853i \(-0.362280\pi\)
\(380\) −46.5876 13.9474i −0.122599 0.0367037i
\(381\) −293.554 + 456.022i −0.770482 + 1.19691i
\(382\) 294.174 + 193.481i 0.770088 + 0.506495i
\(383\) 23.0175 + 196.927i 0.0600978 + 0.514170i 0.989439 + 0.144948i \(0.0463016\pi\)
−0.929341 + 0.369222i \(0.879624\pi\)
\(384\) −5.56519 + 33.4818i −0.0144927 + 0.0871921i
\(385\) 20.7458 + 10.4190i 0.0538853 + 0.0270622i
\(386\) −283.362 + 49.9643i −0.734097 + 0.129441i
\(387\) 21.1582 548.849i 0.0546723 1.41822i
\(388\) 4.70847 26.7031i 0.0121352 0.0688224i
\(389\) −371.910 276.877i −0.956066 0.711765i 0.00149385 0.999999i \(-0.499524\pi\)
−0.957560 + 0.288234i \(0.906932\pi\)
\(390\) 52.4639 + 38.2627i 0.134523 + 0.0981095i
\(391\) −146.589 + 155.375i −0.374907 + 0.397378i
\(392\) −122.852 + 36.7794i −0.313397 + 0.0938250i
\(393\) 88.1183 305.216i 0.224220 0.776632i
\(394\) −155.307 18.1528i −0.394179 0.0460730i
\(395\) −5.41016 + 6.44758i −0.0136966 + 0.0163230i
\(396\) −27.9361 + 287.968i −0.0705458 + 0.727192i
\(397\) 222.944 187.072i 0.561571 0.471214i −0.317266 0.948337i \(-0.602765\pi\)
0.878837 + 0.477123i \(0.158320\pi\)
\(398\) −177.208 269.432i −0.445247 0.676965i
\(399\) −159.195 + 94.0086i −0.398986 + 0.235610i
\(400\) 58.3546 + 78.3839i 0.145887 + 0.195960i
\(401\) −156.826 312.267i −0.391088 0.778721i 0.608805 0.793320i \(-0.291649\pi\)
−0.999893 + 0.0145992i \(0.995353\pi\)
\(402\) 207.438 224.244i 0.516014 0.557821i
\(403\) 1108.07 262.617i 2.74955 0.651656i
\(404\) 335.596i 0.830683i
\(405\) 59.2216 + 15.2224i 0.146226 + 0.0375862i
\(406\) −52.3363 −0.128907
\(407\) 89.2716 + 376.667i 0.219341 + 0.925471i
\(408\) 200.900 62.3022i 0.492401 0.152702i
\(409\) −198.080 + 99.4796i −0.484304 + 0.243226i −0.674160 0.738585i \(-0.735494\pi\)
0.189856 + 0.981812i \(0.439198\pi\)
\(410\) −10.2275 + 7.61411i −0.0249452 + 0.0185710i
\(411\) −297.073 + 526.421i −0.722806 + 1.28083i
\(412\) −181.334 + 119.265i −0.440131 + 0.289478i
\(413\) −21.2708 25.3496i −0.0515032 0.0613791i
\(414\) 76.8198 + 78.2844i 0.185555 + 0.189093i
\(415\) 40.9186 + 34.3347i 0.0985989 + 0.0827343i
\(416\) 13.3147 113.915i 0.0320065 0.273833i
\(417\) 541.900 521.412i 1.29952 1.25039i
\(418\) 209.989 + 701.412i 0.502366 + 1.67802i
\(419\) −254.509 240.117i −0.607421 0.573072i 0.319848 0.947469i \(-0.396368\pi\)
−0.927269 + 0.374397i \(0.877850\pi\)
\(420\) −8.61685 0.921458i −0.0205163 0.00219395i
\(421\) 107.902 144.937i 0.256299 0.344269i −0.655286 0.755381i \(-0.727452\pi\)
0.911585 + 0.411112i \(0.134859\pi\)
\(422\) −89.2161 15.7312i −0.211413 0.0372778i
\(423\) −182.956 74.6916i −0.432520 0.176576i
\(424\) −38.5652 218.714i −0.0909557 0.515835i
\(425\) 271.788 541.174i 0.639501 1.27335i
\(426\) 240.607 292.532i 0.564804 0.686695i
\(427\) −1.68400 + 0.196832i −0.00394380 + 0.000460964i
\(428\) −22.5569 + 34.2961i −0.0527030 + 0.0801310i
\(429\) 47.2546 976.495i 0.110151 2.27621i
\(430\) 18.6862 62.4162i 0.0434562 0.145154i
\(431\) −626.915 + 361.950i −1.45456 + 0.839790i −0.998735 0.0502795i \(-0.983989\pi\)
−0.455824 + 0.890070i \(0.650655\pi\)
\(432\) −27.9922 104.309i −0.0647968 0.241457i
\(433\) 124.573 215.767i 0.287697 0.498306i −0.685562 0.728014i \(-0.740444\pi\)
0.973260 + 0.229707i \(0.0737769\pi\)
\(434\) −110.544 + 104.293i −0.254709 + 0.240305i
\(435\) 40.3906 + 16.9542i 0.0928519 + 0.0389751i
\(436\) −4.95336 + 85.0458i −0.0113609 + 0.195059i
\(437\) 254.863 + 109.937i 0.583211 + 0.251573i
\(438\) 104.734 89.6505i 0.239120 0.204681i
\(439\) −14.2303 244.325i −0.0324152 0.556548i −0.974948 0.222434i \(-0.928600\pi\)
0.942533 0.334114i \(-0.108437\pi\)
\(440\) −11.7379 + 32.2496i −0.0266771 + 0.0732946i
\(441\) 307.375 268.383i 0.696995 0.608577i
\(442\) −667.889 + 243.092i −1.51106 + 0.549982i
\(443\) 8.95545 3.86301i 0.0202155 0.00872010i −0.385948 0.922521i \(-0.626126\pi\)
0.406164 + 0.913800i \(0.366866\pi\)
\(444\) −80.5865 119.943i −0.181501 0.270141i
\(445\) −3.08003 0.729981i −0.00692142 0.00164041i
\(446\) −38.3611 + 161.858i −0.0860113 + 0.362910i
\(447\) −0.770874 11.3187i −0.00172455 0.0253216i
\(448\) 6.06249 + 14.0544i 0.0135323 + 0.0313715i
\(449\) −29.0711 79.8723i −0.0647464 0.177889i 0.903101 0.429429i \(-0.141285\pi\)
−0.967847 + 0.251540i \(0.919063\pi\)
\(450\) −272.288 150.152i −0.605085 0.333671i
\(451\) 180.392 + 65.6574i 0.399983 + 0.145582i
\(452\) −41.2256 + 2.40112i −0.0912071 + 0.00531221i
\(453\) −58.5517 + 165.923i −0.129253 + 0.366276i
\(454\) 243.078 563.517i 0.535413 1.24123i
\(455\) 29.2336 + 1.70266i 0.0642496 + 0.00374211i
\(456\) −165.356 217.616i −0.362623 0.477227i
\(457\) 18.4292 + 19.5338i 0.0403265 + 0.0427436i 0.747223 0.664574i \(-0.231387\pi\)
−0.706896 + 0.707317i \(0.749905\pi\)
\(458\) 302.532 + 174.667i 0.660551 + 0.381369i
\(459\) −499.809 + 445.134i −1.08891 + 0.969790i
\(460\) 6.50517 + 11.2673i 0.0141417 + 0.0244941i
\(461\) −99.8350 29.8886i −0.216562 0.0648343i 0.176684 0.984268i \(-0.443463\pi\)
−0.393246 + 0.919433i \(0.628648\pi\)
\(462\) 59.6986 + 116.014i 0.129218 + 0.251112i
\(463\) −260.503 171.336i −0.562641 0.370055i 0.236101 0.971729i \(-0.424130\pi\)
−0.798742 + 0.601673i \(0.794501\pi\)
\(464\) −8.98206 76.8464i −0.0193579 0.165617i
\(465\) 119.097 44.6776i 0.256123 0.0960808i
\(466\) −270.865 136.033i −0.581255 0.291917i
\(467\) 164.246 28.9609i 0.351704 0.0620148i 0.00499444 0.999988i \(-0.498410\pi\)
0.346709 + 0.937973i \(0.387299\pi\)
\(468\) 111.515 + 347.487i 0.238279 + 0.742493i
\(469\) 23.9216 135.666i 0.0510055 0.289266i
\(470\) −18.8028 13.9982i −0.0400059 0.0297833i
\(471\) 206.108 91.3179i 0.437596 0.193881i
\(472\) 33.5707 35.5829i 0.0711244 0.0753875i
\(473\) −939.722 + 281.334i −1.98673 + 0.594787i
\(474\) −45.9188 + 11.3605i −0.0968751 + 0.0239673i
\(475\) −781.575 91.3531i −1.64542 0.192322i
\(476\) 60.9717 72.6632i 0.128092 0.152654i
\(477\) 399.851 + 582.680i 0.838263 + 1.22155i
\(478\) 465.631 390.711i 0.974124 0.817387i
\(479\) −234.294 356.226i −0.489131 0.743687i 0.503614 0.863929i \(-0.332003\pi\)
−0.992745 + 0.120242i \(0.961633\pi\)
\(480\) −0.125845 12.8104i −0.000262177 0.0266884i
\(481\) 291.581 + 391.661i 0.606198 + 0.814265i
\(482\) 265.682 + 529.017i 0.551208 + 1.09755i
\(483\) 48.2383 + 10.9333i 0.0998722 + 0.0226363i
\(484\) 267.299 63.3510i 0.552270 0.130890i
\(485\) 10.2345i 0.0211021i
\(486\) 218.502 + 265.245i 0.449593 + 0.545771i
\(487\) −12.3095 −0.0252761 −0.0126381 0.999920i \(-0.504023\pi\)
−0.0126381 + 0.999920i \(0.504023\pi\)
\(488\) −0.578023 2.43887i −0.00118447 0.00499769i
\(489\) −22.8532 + 100.829i −0.0467345 + 0.206194i
\(490\) 43.2551 21.7235i 0.0882758 0.0443338i
\(491\) −270.110 + 201.089i −0.550121 + 0.409550i −0.836011 0.548712i \(-0.815118\pi\)
0.285890 + 0.958262i \(0.407711\pi\)
\(492\) −71.6566 + 0.703928i −0.145644 + 0.00143075i
\(493\) −400.593 + 263.474i −0.812561 + 0.534430i
\(494\) 593.643 + 707.476i 1.20171 + 1.43214i
\(495\) −8.49010 108.873i −0.0171517 0.219945i
\(496\) −172.106 144.414i −0.346989 0.291158i
\(497\) 19.8300 169.657i 0.0398994 0.341361i
\(498\) 72.0976 + 291.416i 0.144774 + 0.585173i
\(499\) −5.71704 19.0962i −0.0114570 0.0382690i 0.952070 0.305881i \(-0.0989508\pi\)
−0.963527 + 0.267612i \(0.913766\pi\)
\(500\) −54.2835 51.2138i −0.108567 0.102428i
\(501\) 71.9763 + 162.453i 0.143665 + 0.324258i
\(502\) 290.671 390.439i 0.579026 0.777767i
\(503\) 662.841 + 116.877i 1.31778 + 0.232360i 0.787946 0.615744i \(-0.211145\pi\)
0.529830 + 0.848104i \(0.322256\pi\)
\(504\) −36.0759 32.7204i −0.0715791 0.0649214i
\(505\) 21.9961 + 124.746i 0.0435566 + 0.247022i
\(506\) 87.9110 175.045i 0.173737 0.345939i
\(507\) −255.057 679.906i −0.503070 1.34104i
\(508\) −359.113 + 41.9743i −0.706916 + 0.0826267i
\(509\) −131.227 + 199.522i −0.257814 + 0.391987i −0.941081 0.338181i \(-0.890188\pi\)
0.683267 + 0.730169i \(0.260559\pi\)
\(510\) −70.5939 + 36.3263i −0.138419 + 0.0712280i
\(511\) 17.8311 59.5599i 0.0348944 0.116556i
\(512\) −19.5959 + 11.3137i −0.0382733 + 0.0220971i
\(513\) 765.644 + 412.455i 1.49248 + 0.804005i
\(514\) −279.636 + 484.343i −0.544039 + 0.942302i
\(515\) 59.5874 56.2178i 0.115704 0.109161i
\(516\) 291.552 221.537i 0.565024 0.429335i
\(517\) −20.5208 + 352.329i −0.0396921 + 0.681487i
\(518\) −59.8352 25.8104i −0.115512 0.0498270i
\(519\) −419.451 148.018i −0.808191 0.285199i
\(520\) 2.51707 + 43.2164i 0.00484052 + 0.0831085i
\(521\) 99.5119 273.407i 0.191002 0.524773i −0.806816 0.590803i \(-0.798811\pi\)
0.997818 + 0.0660300i \(0.0210333\pi\)
\(522\) 127.259 + 210.746i 0.243791 + 0.403728i
\(523\) 47.5114 17.2927i 0.0908440 0.0330645i −0.296198 0.955126i \(-0.595719\pi\)
0.387042 + 0.922062i \(0.373497\pi\)
\(524\) 194.467 83.8849i 0.371121 0.160086i
\(525\) −139.901 + 9.52808i −0.266478 + 0.0181487i
\(526\) −214.723 50.8903i −0.408219 0.0967496i
\(527\) −321.089 + 1354.78i −0.609276 + 2.57074i
\(528\) −160.100 + 107.567i −0.303219 + 0.203726i
\(529\) 180.114 + 417.552i 0.340481 + 0.789323i
\(530\) 28.6705 + 78.7716i 0.0540953 + 0.148626i
\(531\) −50.3555 + 147.292i −0.0948314 + 0.277385i
\(532\) −115.821 42.1552i −0.217708 0.0792391i
\(533\) 241.736 14.0795i 0.453539 0.0264156i
\(534\) −11.5684 13.5148i −0.0216636 0.0253086i
\(535\) 6.13685 14.2268i 0.0114707 0.0265922i
\(536\) 203.306 + 11.8412i 0.379303 + 0.0220919i
\(537\) −11.5630 + 27.5469i −0.0215325 + 0.0512977i
\(538\) 10.9521 + 11.6085i 0.0203570 + 0.0215771i
\(539\) −631.120 364.377i −1.17091 0.676024i
\(540\) 17.2419 + 36.9386i 0.0319294 + 0.0684048i
\(541\) −456.870 791.322i −0.844491 1.46270i −0.886062 0.463566i \(-0.846570\pi\)
0.0415713 0.999136i \(-0.486764\pi\)
\(542\) −224.090 67.0882i −0.413450 0.123779i
\(543\) −577.356 27.9394i −1.06327 0.0514538i
\(544\) 117.157 + 77.0553i 0.215362 + 0.141646i
\(545\) −3.73295 31.9374i −0.00684945 0.0586008i
\(546\) 127.105 + 104.544i 0.232794 + 0.191472i
\(547\) 399.035 + 200.403i 0.729497 + 0.366367i 0.774461 0.632622i \(-0.218021\pi\)
−0.0449643 + 0.998989i \(0.514317\pi\)
\(548\) −396.851 + 69.9756i −0.724181 + 0.127693i
\(549\) 4.88735 + 6.30247i 0.00890227 + 0.0114799i
\(550\) −96.4310 + 546.887i −0.175329 + 0.994341i
\(551\) 499.739 + 372.042i 0.906967 + 0.675212i
\(552\) −7.77490 + 72.7056i −0.0140850 + 0.131713i
\(553\) −14.6389 + 15.5164i −0.0264719 + 0.0280586i
\(554\) −434.437 + 130.062i −0.784183 + 0.234769i
\(555\) 37.8166 + 39.3025i 0.0681381 + 0.0708154i
\(556\) 497.953 + 58.2024i 0.895599 + 0.104681i
\(557\) −384.427 + 458.142i −0.690173 + 0.822517i −0.991377 0.131043i \(-0.958167\pi\)
0.301203 + 0.953560i \(0.402612\pi\)
\(558\) 688.755 + 191.540i 1.23433 + 0.343261i
\(559\) −947.847 + 795.338i −1.69561 + 1.42279i
\(560\) −3.17469 4.82688i −0.00566909 0.00861943i
\(561\) 1040.99 + 587.456i 1.85559 + 1.04716i
\(562\) −325.136 436.734i −0.578534 0.777106i
\(563\) 87.7686 + 174.762i 0.155895 + 0.310411i 0.957999 0.286773i \(-0.0925824\pi\)
−0.802104 + 0.597184i \(0.796286\pi\)
\(564\) −39.0224 125.832i −0.0691886 0.223106i
\(565\) 15.1668 3.59459i 0.0268439 0.00636211i
\(566\) 572.796i 1.01201i
\(567\) 147.599 + 47.2431i 0.260316 + 0.0833211i
\(568\) 252.513 0.444566
\(569\) 130.038 + 548.675i 0.228539 + 0.964280i 0.959466 + 0.281825i \(0.0909397\pi\)
−0.730927 + 0.682455i \(0.760912\pi\)
\(570\) 75.7285 + 70.0529i 0.132857 + 0.122900i
\(571\) 394.466 198.108i 0.690833 0.346949i −0.0685004 0.997651i \(-0.521821\pi\)
0.759333 + 0.650702i \(0.225525\pi\)
\(572\) 522.791 389.203i 0.913970 0.680425i
\(573\) −379.792 643.146i −0.662814 1.12242i
\(574\) −26.9997 + 17.7580i −0.0470378 + 0.0309373i
\(575\) 135.321 + 161.269i 0.235340 + 0.280467i
\(576\) 41.8525 58.5864i 0.0726607 0.101712i
\(577\) −243.811 204.582i −0.422550 0.354561i 0.406582 0.913614i \(-0.366720\pi\)
−0.829132 + 0.559053i \(0.811165\pi\)
\(578\) 53.4367 457.180i 0.0924511 0.790970i
\(579\) 586.423 + 169.305i 1.01282 + 0.292409i
\(580\) 8.37553 + 27.9762i 0.0144406 + 0.0482349i
\(581\) 98.4722 + 92.9038i 0.169487 + 0.159903i
\(582\) −33.8935 + 46.4730i −0.0582362 + 0.0798506i
\(583\) 753.661 1012.34i 1.29273 1.73644i
\(584\) 90.5131 + 15.9599i 0.154988 + 0.0273286i
\(585\) −64.2270 121.857i −0.109790 0.208302i
\(586\) −140.596 797.362i −0.239926 1.36069i
\(587\) −467.510 + 930.888i −0.796439 + 1.58584i 0.0139173 + 0.999903i \(0.495570\pi\)
−0.810356 + 0.585937i \(0.800726\pi\)
\(588\) 268.354 + 44.6047i 0.456385 + 0.0758583i
\(589\) 1796.92 210.030i 3.05080 0.356587i
\(590\) −10.1465 + 15.4270i −0.0171975 + 0.0261475i
\(591\) 278.907 + 179.540i 0.471924 + 0.303790i
\(592\) 27.6288 92.2867i 0.0466703 0.155890i
\(593\) 225.627 130.266i 0.380483 0.219672i −0.297545 0.954708i \(-0.596168\pi\)
0.678029 + 0.735036i \(0.262835\pi\)
\(594\) 322.000 522.487i 0.542088 0.879608i
\(595\) −17.9015 + 31.0063i −0.0300865 + 0.0521114i
\(596\) 5.50135 5.19026i 0.00923046 0.00870849i
\(597\) 86.0891 + 678.655i 0.144203 + 1.13678i
\(598\) 14.3664 246.661i 0.0240241 0.412477i
\(599\) −377.184 162.701i −0.629690 0.271622i 0.0572230 0.998361i \(-0.481775\pi\)
−0.686913 + 0.726740i \(0.741035\pi\)
\(600\) −38.0003 203.784i −0.0633338 0.339640i
\(601\) 39.9140 + 685.298i 0.0664127 + 1.14026i 0.852700 + 0.522401i \(0.174964\pi\)
−0.786287 + 0.617861i \(0.787999\pi\)
\(602\) 56.4778 155.172i 0.0938170 0.257760i
\(603\) −604.462 + 233.553i −1.00242 + 0.387319i
\(604\) −110.226 + 40.1191i −0.182494 + 0.0664224i
\(605\) −95.2066 + 41.0681i −0.157366 + 0.0678812i
\(606\) −313.238 + 639.290i −0.516895 + 1.05493i
\(607\) −339.033 80.3523i −0.558539 0.132376i −0.0583558 0.998296i \(-0.518586\pi\)
−0.500183 + 0.865920i \(0.666734\pi\)
\(608\) 42.0200 177.296i 0.0691118 0.291606i
\(609\) 99.6977 + 48.8496i 0.163707 + 0.0802129i
\(610\) 0.374711 + 0.868679i 0.000614281 + 0.00142406i
\(611\) 152.258 + 418.326i 0.249195 + 0.684658i
\(612\) −440.854 68.8336i −0.720350 0.112473i
\(613\) −1006.46 366.323i −1.64187 0.597590i −0.654502 0.756060i \(-0.727122\pi\)
−0.987364 + 0.158470i \(0.949344\pi\)
\(614\) 620.093 36.1163i 1.00992 0.0588214i
\(615\) 26.5897 4.95827i 0.0432352 0.00806223i
\(616\) −34.4518 + 79.8682i −0.0559282 + 0.129656i
\(617\) 548.704 + 31.9584i 0.889309 + 0.0517964i 0.496713 0.867915i \(-0.334540\pi\)
0.392596 + 0.919711i \(0.371577\pi\)
\(618\) 456.750 57.9399i 0.739078 0.0937538i
\(619\) −396.138 419.881i −0.639964 0.678322i 0.323479 0.946235i \(-0.395147\pi\)
−0.963443 + 0.267913i \(0.913666\pi\)
\(620\) 73.4399 + 42.4005i 0.118451 + 0.0683880i
\(621\) −73.2683 220.829i −0.117984 0.355603i
\(622\) 9.67248 + 16.7532i 0.0155506 + 0.0269344i
\(623\) −7.68552 2.30089i −0.0123363 0.00369325i
\(624\) −131.689 + 204.573i −0.211041 + 0.327842i
\(625\) −486.742 320.135i −0.778788 0.512217i
\(626\) −15.9700 136.632i −0.0255112 0.218262i
\(627\) 254.667 1532.15i 0.406167 2.44362i
\(628\) 134.302 + 67.4490i 0.213857 + 0.107403i
\(629\) −587.926 + 103.667i −0.934699 + 0.164813i
\(630\) 15.5545 + 9.79811i 0.0246897 + 0.0155526i
\(631\) −14.6633 + 83.1595i −0.0232381 + 0.131790i −0.994220 0.107364i \(-0.965759\pi\)
0.970982 + 0.239154i \(0.0768701\pi\)
\(632\) −25.2954 18.8317i −0.0400243 0.0297970i
\(633\) 155.268 + 113.240i 0.245290 + 0.178893i
\(634\) −242.345 + 256.871i −0.382248 + 0.405159i
\(635\) 130.737 39.1400i 0.205884 0.0616377i
\(636\) −130.679 + 452.634i −0.205470 + 0.711688i
\(637\) −913.020 106.717i −1.43331 0.167530i
\(638\) 282.617 336.810i 0.442973 0.527915i
\(639\) −731.385 + 332.680i −1.14458 + 0.520625i
\(640\) 6.54255 5.48985i 0.0102227 0.00857789i
\(641\) −215.572 327.761i −0.336306 0.511328i 0.627256 0.778813i \(-0.284178\pi\)
−0.963562 + 0.267485i \(0.913807\pi\)
\(642\) 74.9808 44.2779i 0.116793 0.0689687i
\(643\) −367.713 493.924i −0.571870 0.768155i 0.418257 0.908329i \(-0.362641\pi\)
−0.990127 + 0.140174i \(0.955234\pi\)
\(644\) 14.7989 + 29.4671i 0.0229797 + 0.0457564i
\(645\) −93.8540 + 101.458i −0.145510 + 0.157299i
\(646\) −1098.73 + 260.404i −1.70082 + 0.403103i
\(647\) 661.257i 1.02204i 0.859570 + 0.511018i \(0.170731\pi\)
−0.859570 + 0.511018i \(0.829269\pi\)
\(648\) −44.0366 + 224.831i −0.0679578 + 0.346961i
\(649\) 278.000 0.428351
\(650\) 161.540 + 681.593i 0.248524 + 1.04860i
\(651\) 307.924 95.4921i 0.473001 0.146685i
\(652\) −61.5929 + 30.9331i −0.0944677 + 0.0474435i
\(653\) −722.667 + 538.006i −1.10669 + 0.823899i −0.985659 0.168750i \(-0.946027\pi\)
−0.121029 + 0.992649i \(0.538619\pi\)
\(654\) 88.8159 157.384i 0.135804 0.240648i
\(655\) −66.7882 + 43.9273i −0.101967 + 0.0670646i
\(656\) −30.7081 36.5965i −0.0468112 0.0557874i
\(657\) −283.191 + 73.0220i −0.431036 + 0.111145i
\(658\) −45.5119 38.1890i −0.0691670 0.0580380i
\(659\) 109.049 932.975i 0.165477 1.41574i −0.613997 0.789308i \(-0.710439\pi\)
0.779474 0.626435i \(-0.215487\pi\)
\(660\) 52.4612 50.4777i 0.0794866 0.0764814i
\(661\) 59.2560 + 197.929i 0.0896460 + 0.299439i 0.991041 0.133560i \(-0.0426408\pi\)
−0.901395 + 0.432998i \(0.857456\pi\)
\(662\) 48.2429 + 45.5149i 0.0728745 + 0.0687536i
\(663\) 1499.19 + 160.318i 2.26122 + 0.241807i
\(664\) −119.512 + 160.533i −0.179988 + 0.241767i
\(665\) 45.8152 + 8.07845i 0.0688950 + 0.0121480i
\(666\) 41.5606 + 303.702i 0.0624032 + 0.456008i
\(667\) −28.9435 164.147i −0.0433935 0.246097i
\(668\) −53.1630 + 105.856i −0.0795853 + 0.158467i
\(669\) 224.150 272.525i 0.335053 0.407361i
\(670\) −76.3480 + 8.92381i −0.113952 + 0.0133191i
\(671\) 7.82693 11.9003i 0.0116646 0.0177351i
\(672\) 1.56942 32.4315i 0.00233545 0.0482611i
\(673\) 338.438 1130.46i 0.502879 1.67973i −0.209394 0.977831i \(-0.567149\pi\)
0.712273 0.701902i \(-0.247666\pi\)
\(674\) −11.0144 + 6.35915i −0.0163418 + 0.00943493i
\(675\) 378.545 + 540.180i 0.560807 + 0.800266i
\(676\) 242.057 419.256i 0.358073 0.620201i
\(677\) −440.913 + 415.980i −0.651275 + 0.614447i −0.939267 0.343186i \(-0.888494\pi\)
0.287992 + 0.957633i \(0.407012\pi\)
\(678\) 80.7735 + 33.9051i 0.119135 + 0.0500076i
\(679\) −1.50824 + 25.8954i −0.00222126 + 0.0381376i
\(680\) −48.5994 20.9637i −0.0714696 0.0308290i
\(681\) −989.024 + 846.584i −1.45231 + 1.24315i
\(682\) −74.2361 1274.58i −0.108851 1.86889i
\(683\) 120.791 331.872i 0.176854 0.485903i −0.819316 0.573343i \(-0.805646\pi\)
0.996170 + 0.0874398i \(0.0278685\pi\)
\(684\) 111.875 + 568.885i 0.163561 + 0.831703i
\(685\) 142.929 52.0219i 0.208655 0.0759444i
\(686\) 234.386 101.104i 0.341670 0.147382i
\(687\) −413.276 615.108i −0.601566 0.895354i
\(688\) 237.534 + 56.2966i 0.345253 + 0.0818265i
\(689\) 367.131 1549.05i 0.532846 2.24825i
\(690\) −1.87532 27.5353i −0.00271785 0.0399062i
\(691\) 228.273 + 529.196i 0.330351 + 0.765841i 0.999737 + 0.0229257i \(0.00729812\pi\)
−0.669386 + 0.742915i \(0.733443\pi\)
\(692\) −101.421 278.651i −0.146562 0.402675i
\(693\) −5.43734 276.721i −0.00784609 0.399309i
\(694\) 271.021 + 98.6434i 0.390520 + 0.142138i
\(695\) −188.911 + 11.0028i −0.271815 + 0.0158314i
\(696\) −54.6166 + 154.772i −0.0784721 + 0.222373i
\(697\) −117.263 + 271.846i −0.168240 + 0.390023i
\(698\) −672.429 39.1645i −0.963366 0.0561097i
\(699\) 389.011 + 511.955i 0.556525 + 0.732411i
\(700\) −64.1521 67.9973i −0.0916459 0.0971389i
\(701\) −775.409 447.683i −1.10615 0.638635i −0.168319 0.985733i \(-0.553834\pi\)
−0.937829 + 0.347098i \(0.887167\pi\)
\(702\) 111.908 766.027i 0.159414 1.09121i
\(703\) 387.865 + 671.801i 0.551728 + 0.955621i
\(704\) −123.185 36.8791i −0.174978 0.0523850i
\(705\) 22.7526 + 44.2158i 0.0322732 + 0.0627174i
\(706\) −433.722 285.263i −0.614337 0.404056i
\(707\) 37.2709 + 318.873i 0.0527170 + 0.451023i
\(708\) −97.1626 + 36.4491i −0.137235 + 0.0514818i
\(709\) 43.0755 + 21.6334i 0.0607554 + 0.0305125i 0.478917 0.877860i \(-0.341029\pi\)
−0.418162 + 0.908372i \(0.637326\pi\)
\(710\) −93.8629 + 16.5506i −0.132201 + 0.0233106i
\(711\) 98.0763 + 21.2186i 0.137941 + 0.0298433i
\(712\) 2.05944 11.6797i 0.00289248 0.0164040i
\(713\) −388.235 289.030i −0.544509 0.405372i
\(714\) −183.970 + 81.5095i −0.257661 + 0.114159i
\(715\) −168.819 + 178.938i −0.236111 + 0.250263i
\(716\) −19.0801 + 5.71222i −0.0266482 + 0.00797796i
\(717\) −1251.68 + 309.671i −1.74572 + 0.431898i
\(718\) −74.1041 8.66153i −0.103209 0.0120634i
\(719\) −328.511 + 391.504i −0.456900 + 0.544512i −0.944481 0.328566i \(-0.893435\pi\)
0.487582 + 0.873077i \(0.337879\pi\)
\(720\) −11.7173 + 24.5206i −0.0162740 + 0.0340563i
\(721\) 159.053 133.461i 0.220600 0.185105i
\(722\) 525.715 + 799.311i 0.728137 + 1.10708i
\(723\) −12.3358 1255.73i −0.0170620 1.73683i
\(724\) −230.118 309.102i −0.317842 0.426936i
\(725\) 212.074 + 422.275i 0.292516 + 0.582448i
\(726\) −568.319 128.811i −0.782809 0.177426i
\(727\) 68.6369 16.2672i 0.0944111 0.0223758i −0.183139 0.983087i \(-0.558626\pi\)
0.277550 + 0.960711i \(0.410478\pi\)
\(728\) 109.717i 0.150710i
\(729\) −168.660 709.221i −0.231357 0.972869i
\(730\) −34.6911 −0.0475221
\(731\) −348.879 1472.04i −0.477263 2.01373i
\(732\) −1.17529 + 5.18542i −0.00160559 + 0.00708391i
\(733\) −59.5407 + 29.9024i −0.0812287 + 0.0407946i −0.488950 0.872312i \(-0.662620\pi\)
0.407721 + 0.913107i \(0.366324\pi\)
\(734\) 580.676 432.297i 0.791111 0.588960i
\(735\) −102.675 + 1.00864i −0.139694 + 0.00137230i
\(736\) −40.7273 + 26.7868i −0.0553360 + 0.0363951i
\(737\) 743.900 + 886.545i 1.00936 + 1.20291i
\(738\) 137.159 + 65.5419i 0.185852 + 0.0888101i
\(739\) 160.467 + 134.647i 0.217140 + 0.182202i 0.744869 0.667211i \(-0.232512\pi\)
−0.527729 + 0.849413i \(0.676956\pi\)
\(740\) −4.22126 + 36.1152i −0.00570441 + 0.0488043i
\(741\) −470.512 1901.79i −0.634969 2.56652i
\(742\) 60.9337 + 203.533i 0.0821209 + 0.274303i
\(743\) −719.391 678.711i −0.968225 0.913473i 0.0280584 0.999606i \(-0.491068\pi\)
−0.996284 + 0.0861329i \(0.972549\pi\)
\(744\) 193.059 + 435.742i 0.259488 + 0.585674i
\(745\) −1.70475 + 2.28987i −0.00228825 + 0.00307365i
\(746\) −103.262 18.2079i −0.138421 0.0244074i
\(747\) 134.660 622.426i 0.180268 0.833234i
\(748\) 138.375 + 784.765i 0.184994 + 1.04915i
\(749\) 17.6240 35.0923i 0.0235300 0.0468522i
\(750\) 55.6049 + 148.226i 0.0741399 + 0.197635i
\(751\) 341.693 39.9382i 0.454984 0.0531800i 0.114485 0.993425i \(-0.463478\pi\)
0.340499 + 0.940245i \(0.389404\pi\)
\(752\) 48.2628 73.3800i 0.0641793 0.0975798i
\(753\) −918.140 + 472.457i −1.21931 + 0.627433i
\(754\) 159.060 531.297i 0.210955 0.704638i
\(755\) 38.3432 22.1375i 0.0507857 0.0293212i
\(756\) 38.1819 + 96.0029i 0.0505051 + 0.126988i
\(757\) 464.105 803.853i 0.613084 1.06189i −0.377634 0.925955i \(-0.623262\pi\)
0.990717 0.135937i \(-0.0434046\pi\)
\(758\) −449.574 + 424.151i −0.593105 + 0.559566i
\(759\) −330.849 + 251.397i −0.435901 + 0.331221i
\(760\) −3.99886 + 68.6577i −0.00526165 + 0.0903391i
\(761\) 810.110 + 349.447i 1.06453 + 0.459195i 0.855011 0.518609i \(-0.173550\pi\)
0.209522 + 0.977804i \(0.432809\pi\)
\(762\) 723.268 + 255.230i 0.949171 + 0.334948i
\(763\) −4.73857 81.3582i −0.00621045 0.106629i
\(764\) 170.306 467.912i 0.222914 0.612451i
\(765\) 168.383 3.30859i 0.220109 0.00432496i
\(766\) 263.483 95.9000i 0.343973 0.125196i
\(767\) 321.984 138.891i 0.419797 0.181083i
\(768\) 47.8891 3.26153i 0.0623556 0.00424678i
\(769\) 623.825 + 147.849i 0.811215 + 0.192262i 0.615232 0.788346i \(-0.289062\pi\)
0.195983 + 0.980607i \(0.437210\pi\)
\(770\) 7.57140 31.9462i 0.00983299 0.0414886i
\(771\) 984.766 661.640i 1.27726 0.858158i