Properties

Label 576.2.bm.a.205.45
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.45
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.45

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0733064 - 1.41231i) q^{2} +(1.70273 - 0.317328i) q^{3} +(-1.98925 + 0.207063i) q^{4} +(-0.0828163 - 0.0944338i) q^{5} +(-0.572988 - 2.38153i) q^{6} +(-4.69370 - 0.617938i) q^{7} +(0.438263 + 2.79427i) q^{8} +(2.79861 - 1.08065i) q^{9} +O(q^{10})\) \(q+(-0.0733064 - 1.41231i) q^{2} +(1.70273 - 0.317328i) q^{3} +(-1.98925 + 0.207063i) q^{4} +(-0.0828163 - 0.0944338i) q^{5} +(-0.572988 - 2.38153i) q^{6} +(-4.69370 - 0.617938i) q^{7} +(0.438263 + 2.79427i) q^{8} +(2.79861 - 1.08065i) q^{9} +(-0.127299 + 0.123885i) q^{10} +(-0.634560 - 1.28676i) q^{11} +(-3.32146 + 0.983819i) q^{12} +(-1.77514 - 5.22938i) q^{13} +(-0.528642 + 6.67427i) q^{14} +(-0.170981 - 0.134516i) q^{15} +(3.91425 - 0.823802i) q^{16} +(-4.39730 - 4.39730i) q^{17} +(-1.73137 - 3.87329i) q^{18} +(-0.571995 + 2.87561i) q^{19} +(0.184296 + 0.170705i) q^{20} +(-8.18822 + 0.437260i) q^{21} +(-1.77079 + 0.990525i) q^{22} +(0.378083 + 2.87182i) q^{23} +(1.63294 + 4.61882i) q^{24} +(0.650572 - 4.94158i) q^{25} +(-7.25539 + 2.89039i) q^{26} +(4.42236 - 2.72814i) q^{27} +(9.46491 + 0.257341i) q^{28} +(-5.33479 + 0.349661i) q^{29} +(-0.177444 + 0.251339i) q^{30} +(-0.790492 + 0.456391i) q^{31} +(-1.45040 - 5.46775i) q^{32} +(-1.48881 - 1.98965i) q^{33} +(-5.88801 + 6.53271i) q^{34} +(0.330361 + 0.494420i) q^{35} +(-5.34337 + 2.72917i) q^{36} +(1.83221 + 9.21117i) q^{37} +(4.10319 + 0.597034i) q^{38} +(-4.68201 - 8.34095i) q^{39} +(0.227578 - 0.272798i) q^{40} +(-0.604050 - 4.58822i) q^{41} +(1.21780 + 11.5323i) q^{42} +(6.33325 - 3.12321i) q^{43} +(1.52874 + 2.42830i) q^{44} +(-0.333820 - 0.174788i) q^{45} +(4.02819 - 0.744494i) q^{46} +(6.50633 - 1.74337i) q^{47} +(6.40351 - 2.64482i) q^{48} +(14.8875 + 3.98910i) q^{49} +(-7.02675 - 0.556561i) q^{50} +(-8.88282 - 6.09205i) q^{51} +(4.61401 + 10.0350i) q^{52} +(0.975577 - 1.46005i) q^{53} +(-4.17717 - 6.04576i) q^{54} +(-0.0689619 + 0.166489i) q^{55} +(-0.330393 - 13.3863i) q^{56} +(-0.0614426 + 5.07791i) q^{57} +(0.884904 + 7.50876i) q^{58} +(-0.686931 - 0.783295i) q^{59} +(0.367977 + 0.232182i) q^{60} +(-0.533226 - 8.13546i) q^{61} +(0.702514 + 1.08297i) q^{62} +(-13.8036 + 3.34289i) q^{63} +(-7.61585 + 2.44925i) q^{64} +(-0.346820 + 0.600711i) q^{65} +(-2.70086 + 2.24852i) q^{66} +(12.2814 + 6.05654i) q^{67} +(9.65786 + 7.83682i) q^{68} +(1.55508 + 4.76997i) q^{69} +(0.674057 - 0.502817i) q^{70} +(-2.69680 - 6.51066i) q^{71} +(4.24615 + 7.34644i) q^{72} +(-0.00719497 + 0.0173702i) q^{73} +(12.8747 - 3.26290i) q^{74} +(-0.460352 - 8.62065i) q^{75} +(0.542409 - 5.83876i) q^{76} +(2.18330 + 6.43179i) q^{77} +(-11.4368 + 7.22391i) q^{78} +(1.64919 + 6.15487i) q^{79} +(-0.401958 - 0.301413i) q^{80} +(6.66439 - 6.04863i) q^{81} +(-6.43571 + 1.18945i) q^{82} +(5.76556 + 5.05626i) q^{83} +(16.1979 - 2.56530i) q^{84} +(-0.0510860 + 0.779422i) q^{85} +(-4.87522 - 8.71558i) q^{86} +(-8.97277 + 2.28826i) q^{87} +(3.31745 - 2.33707i) q^{88} +(-17.3572 + 7.18958i) q^{89} +(-0.222384 + 0.484271i) q^{90} +(5.10053 + 25.6421i) q^{91} +(-1.34675 - 5.63449i) q^{92} +(-1.20117 + 1.02796i) q^{93} +(-2.93913 - 9.06117i) q^{94} +(0.318925 - 0.184132i) q^{95} +(-4.20473 - 8.84987i) q^{96} +(3.83380 + 2.21345i) q^{97} +(4.54250 - 21.3182i) q^{98} +(-3.16642 - 2.91540i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0733064 1.41231i −0.0518355 0.998656i
\(3\) 1.70273 0.317328i 0.983074 0.183209i
\(4\) −1.98925 + 0.207063i −0.994626 + 0.103532i
\(5\) −0.0828163 0.0944338i −0.0370366 0.0422321i 0.733025 0.680202i \(-0.238108\pi\)
−0.770061 + 0.637970i \(0.779775\pi\)
\(6\) −0.572988 2.38153i −0.233921 0.972256i
\(7\) −4.69370 0.617938i −1.77405 0.233558i −0.828719 0.559664i \(-0.810930\pi\)
−0.945333 + 0.326106i \(0.894263\pi\)
\(8\) 0.438263 + 2.79427i 0.154949 + 0.987922i
\(9\) 2.79861 1.08065i 0.932869 0.360217i
\(10\) −0.127299 + 0.123885i −0.0402555 + 0.0391759i
\(11\) −0.634560 1.28676i −0.191327 0.387973i 0.779979 0.625806i \(-0.215230\pi\)
−0.971306 + 0.237833i \(0.923563\pi\)
\(12\) −3.32146 + 0.983819i −0.958823 + 0.284004i
\(13\) −1.77514 5.22938i −0.492334 1.45037i −0.855087 0.518484i \(-0.826497\pi\)
0.362753 0.931885i \(-0.381837\pi\)
\(14\) −0.528642 + 6.67427i −0.141286 + 1.78377i
\(15\) −0.170981 0.134516i −0.0441470 0.0347318i
\(16\) 3.91425 0.823802i 0.978562 0.205950i
\(17\) −4.39730 4.39730i −1.06650 1.06650i −0.997625 0.0688771i \(-0.978058\pi\)
−0.0688771 0.997625i \(-0.521942\pi\)
\(18\) −1.73137 3.87329i −0.408088 0.912942i
\(19\) −0.571995 + 2.87561i −0.131225 + 0.659710i 0.858041 + 0.513581i \(0.171682\pi\)
−0.989266 + 0.146129i \(0.953318\pi\)
\(20\) 0.184296 + 0.170705i 0.0412099 + 0.0381707i
\(21\) −8.18822 + 0.437260i −1.78682 + 0.0954179i
\(22\) −1.77079 + 0.990525i −0.377534 + 0.211181i
\(23\) 0.378083 + 2.87182i 0.0788357 + 0.598816i 0.984573 + 0.174976i \(0.0559849\pi\)
−0.905737 + 0.423840i \(0.860682\pi\)
\(24\) 1.63294 + 4.61882i 0.333323 + 0.942813i
\(25\) 0.650572 4.94158i 0.130114 0.988317i
\(26\) −7.25539 + 2.89039i −1.42290 + 0.566853i
\(27\) 4.42236 2.72814i 0.851084 0.525030i
\(28\) 9.46491 + 0.257341i 1.78870 + 0.0486329i
\(29\) −5.33479 + 0.349661i −0.990646 + 0.0649303i −0.552099 0.833778i \(-0.686173\pi\)
−0.438546 + 0.898709i \(0.644506\pi\)
\(30\) −0.177444 + 0.251339i −0.0323968 + 0.0458880i
\(31\) −0.790492 + 0.456391i −0.141977 + 0.0819702i −0.569306 0.822126i \(-0.692788\pi\)
0.427329 + 0.904096i \(0.359455\pi\)
\(32\) −1.45040 5.46775i −0.256398 0.966571i
\(33\) −1.48881 1.98965i −0.259169 0.346353i
\(34\) −5.88801 + 6.53271i −1.00979 + 1.12035i
\(35\) 0.330361 + 0.494420i 0.0558411 + 0.0835722i
\(36\) −5.34337 + 2.72917i −0.890562 + 0.454862i
\(37\) 1.83221 + 9.21117i 0.301214 + 1.51431i 0.774032 + 0.633146i \(0.218237\pi\)
−0.472818 + 0.881160i \(0.656763\pi\)
\(38\) 4.10319 + 0.597034i 0.665626 + 0.0968517i
\(39\) −4.68201 8.34095i −0.749722 1.33562i
\(40\) 0.227578 0.272798i 0.0359832 0.0431331i
\(41\) −0.604050 4.58822i −0.0943368 0.716559i −0.971613 0.236574i \(-0.923975\pi\)
0.877277 0.479985i \(-0.159358\pi\)
\(42\) 1.21780 + 11.5323i 0.187910 + 1.77947i
\(43\) 6.33325 3.12321i 0.965812 0.476286i 0.110203 0.993909i \(-0.464850\pi\)
0.855609 + 0.517623i \(0.173183\pi\)
\(44\) 1.52874 + 2.42830i 0.230466 + 0.366080i
\(45\) −0.333820 0.174788i −0.0497629 0.0260558i
\(46\) 4.02819 0.744494i 0.593925 0.109770i
\(47\) 6.50633 1.74337i 0.949046 0.254296i 0.249089 0.968481i \(-0.419869\pi\)
0.699957 + 0.714185i \(0.253202\pi\)
\(48\) 6.40351 2.64482i 0.924267 0.381746i
\(49\) 14.8875 + 3.98910i 2.12679 + 0.569871i
\(50\) −7.02675 0.556561i −0.993732 0.0787096i
\(51\) −8.88282 6.09205i −1.24384 0.853057i
\(52\) 4.61401 + 10.0350i 0.639847 + 1.39160i
\(53\) 0.975577 1.46005i 0.134006 0.200554i −0.758398 0.651792i \(-0.774018\pi\)
0.892404 + 0.451238i \(0.149018\pi\)
\(54\) −4.17717 6.04576i −0.568441 0.822724i
\(55\) −0.0689619 + 0.166489i −0.00929882 + 0.0224493i
\(56\) −0.330393 13.3863i −0.0441506 1.78882i
\(57\) −0.0614426 + 5.07791i −0.00813828 + 0.672586i
\(58\) 0.884904 + 7.50876i 0.116194 + 0.985948i
\(59\) −0.686931 0.783295i −0.0894309 0.101976i 0.705393 0.708816i \(-0.250770\pi\)
−0.794824 + 0.606840i \(0.792437\pi\)
\(60\) 0.367977 + 0.232182i 0.0475056 + 0.0299746i
\(61\) −0.533226 8.13546i −0.0682726 1.04164i −0.885294 0.465031i \(-0.846043\pi\)
0.817022 0.576607i \(-0.195624\pi\)
\(62\) 0.702514 + 1.08297i 0.0892194 + 0.137537i
\(63\) −13.8036 + 3.34289i −1.73909 + 0.421164i
\(64\) −7.61585 + 2.44925i −0.951981 + 0.306156i
\(65\) −0.346820 + 0.600711i −0.0430178 + 0.0745090i
\(66\) −2.70086 + 2.24852i −0.332453 + 0.276774i
\(67\) 12.2814 + 6.05654i 1.50042 + 0.739924i 0.992587 0.121533i \(-0.0387811\pi\)
0.507830 + 0.861457i \(0.330448\pi\)
\(68\) 9.65786 + 7.83682i 1.17119 + 0.950354i
\(69\) 1.55508 + 4.76997i 0.187210 + 0.574237i
\(70\) 0.674057 0.502817i 0.0805653 0.0600981i
\(71\) −2.69680 6.51066i −0.320052 0.772673i −0.999250 0.0387185i \(-0.987672\pi\)
0.679198 0.733955i \(-0.262328\pi\)
\(72\) 4.24615 + 7.34644i 0.500414 + 0.865786i
\(73\) −0.00719497 + 0.0173702i −0.000842108 + 0.00203303i −0.924300 0.381667i \(-0.875350\pi\)
0.923458 + 0.383700i \(0.125350\pi\)
\(74\) 12.8747 3.26290i 1.49666 0.379304i
\(75\) −0.460352 8.62065i −0.0531569 0.995426i
\(76\) 0.542409 5.83876i 0.0622185 0.669751i
\(77\) 2.18330 + 6.43179i 0.248810 + 0.732971i
\(78\) −11.4368 + 7.22391i −1.29496 + 0.817947i
\(79\) 1.64919 + 6.15487i 0.185549 + 0.692477i 0.994512 + 0.104619i \(0.0333622\pi\)
−0.808964 + 0.587859i \(0.799971\pi\)
\(80\) −0.401958 0.301413i −0.0449403 0.0336990i
\(81\) 6.66439 6.04863i 0.740488 0.672070i
\(82\) −6.43571 + 1.18945i −0.710706 + 0.131353i
\(83\) 5.76556 + 5.05626i 0.632853 + 0.554997i 0.914533 0.404511i \(-0.132558\pi\)
−0.281680 + 0.959508i \(0.590892\pi\)
\(84\) 16.1979 2.56530i 1.76733 0.279897i
\(85\) −0.0510860 + 0.779422i −0.00554106 + 0.0845402i
\(86\) −4.87522 8.71558i −0.525709 0.939825i
\(87\) −8.97277 + 2.28826i −0.961982 + 0.245327i
\(88\) 3.31745 2.33707i 0.353641 0.249132i
\(89\) −17.3572 + 7.18958i −1.83986 + 0.762094i −0.884574 + 0.466399i \(0.845551\pi\)
−0.955283 + 0.295694i \(0.904449\pi\)
\(90\) −0.222384 + 0.484271i −0.0234413 + 0.0510467i
\(91\) 5.10053 + 25.6421i 0.534681 + 2.68802i
\(92\) −1.34675 5.63449i −0.140408 0.587436i
\(93\) −1.20117 + 1.02796i −0.124556 + 0.106594i
\(94\) −2.93913 9.06117i −0.303149 0.934589i
\(95\) 0.318925 0.184132i 0.0327211 0.0188915i
\(96\) −4.20473 8.84987i −0.429143 0.903237i
\(97\) 3.83380 + 2.21345i 0.389264 + 0.224742i 0.681841 0.731500i \(-0.261180\pi\)
−0.292577 + 0.956242i \(0.594513\pi\)
\(98\) 4.54250 21.3182i 0.458862 2.15347i
\(99\) −3.16642 2.91540i −0.318237 0.293009i
\(100\) −0.270932 + 9.96476i −0.0270932 + 0.996476i
\(101\) −10.4141 3.53511i −1.03624 0.351756i −0.249066 0.968486i \(-0.580124\pi\)
−0.787175 + 0.616730i \(0.788457\pi\)
\(102\) −7.95271 + 12.9919i −0.787435 + 1.28639i
\(103\) −7.62719 5.85255i −0.751529 0.576669i 0.160382 0.987055i \(-0.448727\pi\)
−0.911912 + 0.410386i \(0.865394\pi\)
\(104\) 13.8343 7.25205i 1.35657 0.711122i
\(105\) 0.719409 + 0.737032i 0.0702072 + 0.0719270i
\(106\) −2.13357 1.27079i −0.207230 0.123430i
\(107\) −2.39815 1.60240i −0.231838 0.154909i 0.434225 0.900804i \(-0.357022\pi\)
−0.666064 + 0.745895i \(0.732022\pi\)
\(108\) −8.23229 + 6.34266i −0.792153 + 0.610323i
\(109\) 2.23139 11.2180i 0.213729 1.07449i −0.713690 0.700461i \(-0.752978\pi\)
0.927419 0.374024i \(-0.122022\pi\)
\(110\) 0.240189 + 0.0851910i 0.0229012 + 0.00812264i
\(111\) 6.04274 + 15.1028i 0.573551 + 1.43349i
\(112\) −18.8814 + 1.44792i −1.78412 + 0.136815i
\(113\) 12.6962 + 3.40194i 1.19436 + 0.320028i 0.800608 0.599189i \(-0.204510\pi\)
0.393752 + 0.919217i \(0.371177\pi\)
\(114\) 7.17610 0.285467i 0.672103 0.0267365i
\(115\) 0.239886 0.273537i 0.0223695 0.0255075i
\(116\) 10.5398 1.80020i 0.978600 0.167145i
\(117\) −10.6190 12.7167i −0.981730 1.17566i
\(118\) −1.05590 + 1.02758i −0.0972036 + 0.0945966i
\(119\) 17.9224 + 23.3569i 1.64294 + 2.14112i
\(120\) 0.300939 0.536718i 0.0274718 0.0489955i
\(121\) 5.44329 7.09383i 0.494844 0.644894i
\(122\) −11.4507 + 1.34946i −1.03670 + 0.122175i
\(123\) −2.48451 7.62083i −0.224020 0.687147i
\(124\) 1.47799 1.07156i 0.132727 0.0962287i
\(125\) −1.04271 + 0.696716i −0.0932627 + 0.0623161i
\(126\) 5.73309 + 19.2499i 0.510745 + 1.71492i
\(127\) 20.1689 1.78970 0.894851 0.446366i \(-0.147282\pi\)
0.894851 + 0.446366i \(0.147282\pi\)
\(128\) 4.01739 + 10.5764i 0.355091 + 0.934832i
\(129\) 9.79276 7.32772i 0.862204 0.645170i
\(130\) 0.873815 + 0.445783i 0.0766387 + 0.0390977i
\(131\) −9.74491 4.80566i −0.851416 0.419872i −0.0364189 0.999337i \(-0.511595\pi\)
−0.814997 + 0.579464i \(0.803262\pi\)
\(132\) 3.37361 + 3.64963i 0.293635 + 0.317660i
\(133\) 4.46172 13.1438i 0.386880 1.13971i
\(134\) 7.65342 17.7892i 0.661154 1.53675i
\(135\) −0.623872 0.191686i −0.0536943 0.0164977i
\(136\) 10.3601 14.2144i 0.888368 1.21888i
\(137\) −5.82442 7.59053i −0.497613 0.648502i 0.475259 0.879846i \(-0.342354\pi\)
−0.972872 + 0.231344i \(0.925688\pi\)
\(138\) 6.62269 2.54593i 0.563761 0.216724i
\(139\) −4.01724 0.263304i −0.340738 0.0223332i −0.105926 0.994374i \(-0.533781\pi\)
−0.234812 + 0.972041i \(0.575447\pi\)
\(140\) −0.759547 0.915120i −0.0641934 0.0773417i
\(141\) 10.5253 5.03313i 0.886393 0.423866i
\(142\) −8.99739 + 4.28600i −0.755044 + 0.359673i
\(143\) −5.60253 + 5.60253i −0.468507 + 0.468507i
\(144\) 10.0642 6.53543i 0.838683 0.544619i
\(145\) 0.474827 + 0.474827i 0.0394322 + 0.0394322i
\(146\) 0.0250596 + 0.00888820i 0.00207395 + 0.000735593i
\(147\) 26.6153 + 2.06815i 2.19520 + 0.170578i
\(148\) −5.55203 17.9439i −0.456374 1.47498i
\(149\) 0.534468 8.15441i 0.0437854 0.668035i −0.918402 0.395648i \(-0.870520\pi\)
0.962188 0.272388i \(-0.0878133\pi\)
\(150\) −12.1413 + 1.28211i −0.991333 + 0.104684i
\(151\) 2.27291 1.74407i 0.184967 0.141930i −0.512127 0.858910i \(-0.671142\pi\)
0.697095 + 0.716979i \(0.254476\pi\)
\(152\) −8.28591 0.338032i −0.672076 0.0274180i
\(153\) −17.0583 7.55437i −1.37908 0.610734i
\(154\) 8.92365 3.55499i 0.719088 0.286469i
\(155\) 0.108564 + 0.0368526i 0.00872009 + 0.00296007i
\(156\) 11.0408 + 15.6228i 0.883972 + 1.25082i
\(157\) 2.19848 4.45807i 0.175457 0.355793i −0.791324 0.611397i \(-0.790608\pi\)
0.966781 + 0.255605i \(0.0822745\pi\)
\(158\) 8.57171 2.78037i 0.681928 0.221194i
\(159\) 1.19783 2.79566i 0.0949942 0.221710i
\(160\) −0.396224 + 0.589786i −0.0313242 + 0.0466267i
\(161\) 13.7131i 1.08074i
\(162\) −9.03110 8.96880i −0.709550 0.704655i
\(163\) −8.17502 12.2348i −0.640317 0.958303i −0.999685 0.0251065i \(-0.992008\pi\)
0.359367 0.933196i \(-0.382992\pi\)
\(164\) 2.15166 + 9.00204i 0.168016 + 0.702942i
\(165\) −0.0645922 + 0.305369i −0.00502849 + 0.0237730i
\(166\) 6.71837 8.51343i 0.521447 0.660771i
\(167\) 3.03626 + 2.32980i 0.234953 + 0.180286i 0.719527 0.694465i \(-0.244359\pi\)
−0.484574 + 0.874750i \(0.661025\pi\)
\(168\) −4.81041 22.6884i −0.371131 1.75045i
\(169\) −13.8817 + 10.6518i −1.06783 + 0.819371i
\(170\) 1.10453 + 0.0150128i 0.0847138 + 0.00115143i
\(171\) 1.50674 + 8.66583i 0.115224 + 0.662692i
\(172\) −11.9517 + 7.52424i −0.911311 + 0.573718i
\(173\) −11.2196 9.83934i −0.853012 0.748071i 0.116480 0.993193i \(-0.462839\pi\)
−0.969492 + 0.245122i \(0.921172\pi\)
\(174\) 3.88950 + 12.5046i 0.294862 + 0.947972i
\(175\) −6.10718 + 22.7923i −0.461659 + 1.72294i
\(176\) −3.54386 4.51395i −0.267129 0.340252i
\(177\) −1.41822 1.11576i −0.106600 0.0838657i
\(178\) 11.4263 + 23.9867i 0.856439 + 1.79788i
\(179\) −12.5777 2.50187i −0.940105 0.186999i −0.298827 0.954307i \(-0.596595\pi\)
−0.641278 + 0.767309i \(0.721595\pi\)
\(180\) 0.700244 + 0.278575i 0.0521931 + 0.0207638i
\(181\) 8.67887 12.9888i 0.645095 0.965453i −0.354443 0.935077i \(-0.615330\pi\)
0.999539 0.0303756i \(-0.00967035\pi\)
\(182\) 35.8407 9.08327i 2.65669 0.673297i
\(183\) −3.48955 13.6833i −0.257955 1.01150i
\(184\) −7.85894 + 2.31508i −0.579369 + 0.170670i
\(185\) 0.718109 0.935857i 0.0527964 0.0688056i
\(186\) 1.53985 + 1.62107i 0.112907 + 0.118863i
\(187\) −2.86792 + 8.44863i −0.209723 + 0.617825i
\(188\) −12.5817 + 4.81522i −0.917618 + 0.351186i
\(189\) −22.4431 + 10.0723i −1.63249 + 0.732653i
\(190\) −0.283431 0.436924i −0.0205622 0.0316978i
\(191\) 0.198124 0.343161i 0.0143358 0.0248303i −0.858769 0.512364i \(-0.828770\pi\)
0.873104 + 0.487533i \(0.162103\pi\)
\(192\) −12.1906 + 6.58714i −0.879777 + 0.475386i
\(193\) 5.11273 + 8.85551i 0.368022 + 0.637433i 0.989256 0.146192i \(-0.0467016\pi\)
−0.621234 + 0.783625i \(0.713368\pi\)
\(194\) 2.84504 5.57679i 0.204262 0.400390i
\(195\) −0.399921 + 1.13291i −0.0286389 + 0.0811291i
\(196\) −30.4410 4.85267i −2.17436 0.346619i
\(197\) 23.4456 4.66362i 1.67043 0.332269i 0.732942 0.680291i \(-0.238146\pi\)
0.937486 + 0.348022i \(0.113146\pi\)
\(198\) −3.88533 + 4.68570i −0.276119 + 0.332998i
\(199\) 4.67387 + 11.2837i 0.331322 + 0.799882i 0.998488 + 0.0549726i \(0.0175071\pi\)
−0.667166 + 0.744909i \(0.732493\pi\)
\(200\) 14.0932 0.347841i 0.996541 0.0245961i
\(201\) 22.8339 + 6.41543i 1.61058 + 0.452509i
\(202\) −4.22926 + 14.9671i −0.297570 + 1.05308i
\(203\) 25.2560 + 1.65536i 1.77262 + 0.116184i
\(204\) 18.9316 + 10.2793i 1.32548 + 0.719696i
\(205\) −0.383258 + 0.437022i −0.0267679 + 0.0305229i
\(206\) −7.70650 + 11.2010i −0.536938 + 0.780411i
\(207\) 4.16154 + 7.62852i 0.289247 + 0.530219i
\(208\) −11.2563 19.0067i −0.780484 1.31788i
\(209\) 4.06319 1.08873i 0.281057 0.0753089i
\(210\) 0.988183 1.07006i 0.0681911 0.0738412i
\(211\) −16.9839 + 5.76525i −1.16922 + 0.396896i −0.837476 0.546474i \(-0.815970\pi\)
−0.331743 + 0.943370i \(0.607637\pi\)
\(212\) −1.63834 + 3.10642i −0.112522 + 0.213350i
\(213\) −6.65795 10.2302i −0.456196 0.700958i
\(214\) −2.08728 + 3.50441i −0.142684 + 0.239556i
\(215\) −0.819433 0.339420i −0.0558849 0.0231483i
\(216\) 9.56130 + 11.1616i 0.650564 + 0.759452i
\(217\) 3.99235 1.65369i 0.271019 0.112260i
\(218\) −16.0068 2.32907i −1.08412 0.157745i
\(219\) −0.00673907 + 0.0318600i −0.000455384 + 0.00215290i
\(220\) 0.102709 0.345467i 0.00692463 0.0232914i
\(221\) −15.1894 + 30.8010i −1.02175 + 2.07190i
\(222\) 20.8868 9.64136i 1.40183 0.647086i
\(223\) −2.51287 1.45080i −0.168274 0.0971530i 0.413498 0.910505i \(-0.364307\pi\)
−0.581772 + 0.813352i \(0.697640\pi\)
\(224\) 3.42904 + 26.5603i 0.229112 + 1.77463i
\(225\) −3.51943 14.5326i −0.234629 0.968839i
\(226\) 3.87389 18.1804i 0.257687 1.20934i
\(227\) 12.3093 0.806791i 0.816994 0.0535486i 0.348825 0.937188i \(-0.386581\pi\)
0.468169 + 0.883639i \(0.344914\pi\)
\(228\) −0.929223 10.1140i −0.0615393 0.669814i
\(229\) 0.817147 0.716619i 0.0539986 0.0473555i −0.631921 0.775033i \(-0.717733\pi\)
0.685920 + 0.727677i \(0.259400\pi\)
\(230\) −0.403905 0.318742i −0.0266327 0.0210172i
\(231\) 5.75856 + 10.2588i 0.378886 + 0.674980i
\(232\) −3.31508 14.7536i −0.217646 0.968620i
\(233\) 4.26933 + 1.76841i 0.279693 + 0.115853i 0.518120 0.855308i \(-0.326632\pi\)
−0.238427 + 0.971160i \(0.576632\pi\)
\(234\) −17.1815 + 15.9296i −1.12319 + 1.04135i
\(235\) −0.703463 0.470039i −0.0458889 0.0306620i
\(236\) 1.52867 + 1.41593i 0.0995080 + 0.0921694i
\(237\) 4.76125 + 9.95678i 0.309276 + 0.646762i
\(238\) 31.6734 27.0242i 2.05308 1.75172i
\(239\) −3.70876 + 13.8413i −0.239900 + 0.895318i 0.735979 + 0.677005i \(0.236722\pi\)
−0.975879 + 0.218314i \(0.929944\pi\)
\(240\) −0.780075 0.385674i −0.0503536 0.0248952i
\(241\) 0.772701 + 2.88376i 0.0497740 + 0.185759i 0.986337 0.164740i \(-0.0526786\pi\)
−0.936563 + 0.350499i \(0.886012\pi\)
\(242\) −10.4177 7.16760i −0.669677 0.460751i
\(243\) 9.42828 12.4140i 0.604825 0.796359i
\(244\) 2.74527 + 16.0731i 0.175748 + 1.02897i
\(245\) −0.856222 1.73625i −0.0547020 0.110925i
\(246\) −10.5809 + 4.06756i −0.674611 + 0.259338i
\(247\) 16.0530 2.11342i 1.02143 0.134474i
\(248\) −1.62172 2.00883i −0.102979 0.127561i
\(249\) 11.4217 + 6.77990i 0.723822 + 0.429659i
\(250\) 1.06042 + 1.42156i 0.0670667 + 0.0899071i
\(251\) −6.12686 + 1.21871i −0.386724 + 0.0769242i −0.384623 0.923074i \(-0.625669\pi\)
−0.00210072 + 0.999998i \(0.500669\pi\)
\(252\) 26.7667 9.50806i 1.68614 0.598952i
\(253\) 3.45543 2.30885i 0.217241 0.145156i
\(254\) −1.47851 28.4848i −0.0927700 1.78730i
\(255\) 0.160347 + 1.34336i 0.0100413 + 0.0841244i
\(256\) 14.6427 6.44913i 0.915169 0.403071i
\(257\) 12.8263 + 22.2157i 0.800080 + 1.38578i 0.919563 + 0.392943i \(0.128543\pi\)
−0.119483 + 0.992836i \(0.538124\pi\)
\(258\) −11.0669 13.2933i −0.688995 0.827602i
\(259\) −2.90794 44.3667i −0.180691 2.75681i
\(260\) 0.565528 1.26678i 0.0350726 0.0785623i
\(261\) −14.5521 + 6.74361i −0.900753 + 0.417419i
\(262\) −6.07272 + 14.1151i −0.375174 + 0.872036i
\(263\) −24.7756 3.26177i −1.52773 0.201130i −0.680656 0.732603i \(-0.738305\pi\)
−0.847075 + 0.531474i \(0.821638\pi\)
\(264\) 4.90711 5.03213i 0.302012 0.309706i
\(265\) −0.218672 + 0.0287887i −0.0134329 + 0.00176848i
\(266\) −18.8902 5.33782i −1.15823 0.327283i
\(267\) −27.2732 + 17.7499i −1.66909 + 1.08627i
\(268\) −25.6850 9.50495i −1.56896 0.580607i
\(269\) −15.2846 3.04029i −0.931917 0.185370i −0.294291 0.955716i \(-0.595084\pi\)
−0.637626 + 0.770346i \(0.720084\pi\)
\(270\) −0.224987 + 0.895154i −0.0136923 + 0.0544773i
\(271\) −3.58048 + 3.58048i −0.217499 + 0.217499i −0.807444 0.589945i \(-0.799150\pi\)
0.589945 + 0.807444i \(0.299150\pi\)
\(272\) −20.8346 13.5896i −1.26329 0.823992i
\(273\) 16.8218 + 42.0431i 1.01810 + 2.54456i
\(274\) −10.2932 + 8.78233i −0.621837 + 0.530560i
\(275\) −6.77146 + 2.29860i −0.408335 + 0.138611i
\(276\) −4.08114 9.16668i −0.245656 0.551769i
\(277\) 2.25929 1.11416i 0.135748 0.0669433i −0.373147 0.927772i \(-0.621721\pi\)
0.508894 + 0.860829i \(0.330054\pi\)
\(278\) −0.0773778 + 5.69291i −0.00464081 + 0.341438i
\(279\) −1.71908 + 2.13150i −0.102918 + 0.127610i
\(280\) −1.23676 + 1.13980i −0.0739103 + 0.0681162i
\(281\) −2.99302 + 22.7342i −0.178548 + 1.35621i 0.634007 + 0.773327i \(0.281409\pi\)
−0.812556 + 0.582883i \(0.801924\pi\)
\(282\) −7.87993 14.4961i −0.469243 0.863230i
\(283\) −11.4545 + 10.0453i −0.680898 + 0.597131i −0.928323 0.371776i \(-0.878749\pi\)
0.247425 + 0.968907i \(0.420416\pi\)
\(284\) 6.71274 + 12.3929i 0.398328 + 0.735386i
\(285\) 0.484615 0.414731i 0.0287061 0.0245666i
\(286\) 8.32323 + 7.50182i 0.492163 + 0.443592i
\(287\) 21.9090i 1.29325i
\(288\) −9.96784 13.7347i −0.587361 0.809325i
\(289\) 21.6725i 1.27485i
\(290\) 0.635796 0.705412i 0.0373352 0.0414232i
\(291\) 7.23034 + 2.55234i 0.423850 + 0.149621i
\(292\) 0.0107159 0.0360435i 0.000627100 0.00210929i
\(293\) 14.0478 12.3196i 0.820682 0.719718i −0.142143 0.989846i \(-0.545399\pi\)
0.962825 + 0.270128i \(0.0870659\pi\)
\(294\) 0.969794 37.7408i 0.0565595 2.20109i
\(295\) −0.0170805 + 0.129739i −0.000994464 + 0.00755370i
\(296\) −24.9355 + 9.15661i −1.44934 + 0.532217i
\(297\) −6.31671 3.95935i −0.366533 0.229745i
\(298\) −11.5558 0.157065i −0.669407 0.00909856i
\(299\) 14.3467 7.07501i 0.829692 0.409159i
\(300\) 2.70077 + 17.0533i 0.155929 + 0.984574i
\(301\) −31.6563 + 10.7459i −1.82464 + 0.619382i
\(302\) −2.62979 3.08221i −0.151327 0.177362i
\(303\) −18.8542 2.71467i −1.08315 0.155953i
\(304\) 0.130004 + 11.7271i 0.00745621 + 0.672594i
\(305\) −0.724103 + 0.724103i −0.0414620 + 0.0414620i
\(306\) −9.41865 + 24.6454i −0.538428 + 1.40888i
\(307\) 9.79422 + 1.94819i 0.558986 + 0.111189i 0.466494 0.884524i \(-0.345517\pi\)
0.0924915 + 0.995713i \(0.470517\pi\)
\(308\) −5.67492 12.3424i −0.323359 0.703272i
\(309\) −14.8443 7.54501i −0.844460 0.429221i
\(310\) 0.0440889 0.156028i 0.00250408 0.00886181i
\(311\) −15.9144 + 2.09517i −0.902424 + 0.118806i −0.567437 0.823417i \(-0.692065\pi\)
−0.334986 + 0.942223i \(0.608732\pi\)
\(312\) 21.2549 16.7383i 1.20332 0.947621i
\(313\) 2.73646 + 0.360262i 0.154674 + 0.0203632i 0.207466 0.978242i \(-0.433479\pi\)
−0.0527914 + 0.998606i \(0.516812\pi\)
\(314\) −6.45735 2.77813i −0.364409 0.156779i
\(315\) 1.45884 + 1.02668i 0.0821965 + 0.0578469i
\(316\) −4.55511 11.9021i −0.256245 0.669546i
\(317\) −0.120946 1.84528i −0.00679300 0.103641i 0.993116 0.117135i \(-0.0373712\pi\)
−0.999909 + 0.0134943i \(0.995704\pi\)
\(318\) −4.03615 1.48677i −0.226336 0.0833741i
\(319\) 3.83517 + 6.64272i 0.214729 + 0.371921i
\(320\) 0.862008 + 0.516357i 0.0481877 + 0.0288652i
\(321\) −4.59190 1.96745i −0.256295 0.109812i
\(322\) −19.3672 + 1.00526i −1.07929 + 0.0560209i
\(323\) 15.1602 10.1297i 0.843534 0.563631i
\(324\) −12.0047 + 13.4122i −0.666928 + 0.745122i
\(325\) −26.9963 + 5.36989i −1.49748 + 0.297868i
\(326\) −16.6801 + 12.4426i −0.923823 + 0.689131i
\(327\) 0.239692 19.8093i 0.0132550 1.09546i
\(328\) 12.5560 3.69872i 0.693287 0.204228i
\(329\) −31.6161 + 4.16234i −1.74305 + 0.229477i
\(330\) 0.436012 + 0.0688388i 0.0240017 + 0.00378945i
\(331\) −8.43476 17.1040i −0.463616 0.940121i −0.995630 0.0933853i \(-0.970231\pi\)
0.532014 0.846736i \(-0.321435\pi\)
\(332\) −12.5161 8.86435i −0.686912 0.486494i
\(333\) 15.0817 + 23.7984i 0.826472 + 1.30415i
\(334\) 3.06783 4.45894i 0.167864 0.243982i
\(335\) −0.445161 1.66136i −0.0243218 0.0907700i
\(336\) −31.6905 + 8.45701i −1.72886 + 0.461368i
\(337\) 3.73521 13.9400i 0.203470 0.759359i −0.786441 0.617666i \(-0.788079\pi\)
0.989911 0.141694i \(-0.0452548\pi\)
\(338\) 16.0613 + 18.8245i 0.873621 + 1.02392i
\(339\) 22.6978 + 1.76374i 1.23278 + 0.0957929i
\(340\) −0.0597666 1.56105i −0.00324130 0.0846596i
\(341\) 1.08888 + 0.727567i 0.0589662 + 0.0393999i
\(342\) 12.1284 2.76325i 0.655829 0.149420i
\(343\) −36.7957 15.2413i −1.98678 0.822952i
\(344\) 11.5027 + 16.3280i 0.620185 + 0.880347i
\(345\) 0.321661 0.541884i 0.0173176 0.0291740i
\(346\) −13.0738 + 16.5669i −0.702849 + 0.890642i
\(347\) 1.97575 1.73269i 0.106064 0.0930155i −0.604672 0.796475i \(-0.706696\pi\)
0.710735 + 0.703459i \(0.248362\pi\)
\(348\) 17.3753 6.40985i 0.931413 0.343604i
\(349\) 12.6227 0.827338i 0.675680 0.0442864i 0.276299 0.961072i \(-0.410892\pi\)
0.399380 + 0.916785i \(0.369225\pi\)
\(350\) 32.6376 + 6.95442i 1.74455 + 0.371730i
\(351\) −22.1168 18.2834i −1.18051 0.975896i
\(352\) −6.11532 + 5.33594i −0.325948 + 0.284407i
\(353\) −27.2796 15.7499i −1.45195 0.838282i −0.453356 0.891330i \(-0.649773\pi\)
−0.998592 + 0.0530473i \(0.983107\pi\)
\(354\) −1.47184 + 2.08477i −0.0782273 + 0.110804i
\(355\) −0.391487 + 0.793858i −0.0207780 + 0.0421336i
\(356\) 33.0391 17.8959i 1.75107 0.948482i
\(357\) 37.9288 + 34.0833i 2.00741 + 1.80388i
\(358\) −2.61139 + 17.9471i −0.138016 + 0.948534i
\(359\) 2.04139 0.845571i 0.107740 0.0446275i −0.328162 0.944621i \(-0.606429\pi\)
0.435903 + 0.899994i \(0.356429\pi\)
\(360\) 0.342102 1.00939i 0.0180304 0.0531993i
\(361\) 9.61175 + 3.98132i 0.505882 + 0.209543i
\(362\) −18.9805 11.3051i −0.997594 0.594183i
\(363\) 7.01740 13.8062i 0.368318 0.724638i
\(364\) −15.4558 49.9524i −0.810102 2.61822i
\(365\) 0.00223620 0.000759086i 0.000117048 3.97324e-5i
\(366\) −19.0693 + 5.93141i −0.996768 + 0.310040i
\(367\) −5.97148 + 1.60005i −0.311709 + 0.0835221i −0.411282 0.911508i \(-0.634919\pi\)
0.0995733 + 0.995030i \(0.468252\pi\)
\(368\) 3.84572 + 10.9296i 0.200472 + 0.569743i
\(369\) −6.64876 12.1878i −0.346120 0.634474i
\(370\) −1.37436 0.945589i −0.0714498 0.0491588i
\(371\) −5.48129 + 6.25021i −0.284574 + 0.324495i
\(372\) 2.17658 2.29358i 0.112851 0.118917i
\(373\) 15.0702 + 0.987755i 0.780307 + 0.0511440i 0.450350 0.892852i \(-0.351299\pi\)
0.329957 + 0.943996i \(0.392966\pi\)
\(374\) 12.1423 + 3.43106i 0.627865 + 0.177416i
\(375\) −1.55437 + 1.51720i −0.0802672 + 0.0783480i
\(376\) 7.72291 + 17.4164i 0.398279 + 0.898181i
\(377\) 11.2985 + 27.2770i 0.581902 + 1.40483i
\(378\) 15.8705 + 30.9582i 0.816289 + 1.59232i
\(379\) −17.5457 + 3.49007i −0.901265 + 0.179273i −0.623911 0.781495i \(-0.714457\pi\)
−0.277353 + 0.960768i \(0.589457\pi\)
\(380\) −0.596296 + 0.432322i −0.0305894 + 0.0221777i
\(381\) 34.3423 6.40016i 1.75941 0.327890i
\(382\) −0.499174 0.254657i −0.0255400 0.0130294i
\(383\) 16.5899 + 28.7346i 0.847706 + 1.46827i 0.883250 + 0.468902i \(0.155350\pi\)
−0.0355444 + 0.999368i \(0.511317\pi\)
\(384\) 10.1967 + 16.7340i 0.520350 + 0.853953i
\(385\) 0.426566 0.738834i 0.0217398 0.0376545i
\(386\) 12.1319 7.86994i 0.617500 0.400569i
\(387\) 14.3492 15.5847i 0.729409 0.792214i
\(388\) −8.08473 3.60927i −0.410440 0.183233i
\(389\) −0.649737 + 1.91406i −0.0329430 + 0.0970468i −0.962158 0.272494i \(-0.912152\pi\)
0.929215 + 0.369541i \(0.120485\pi\)
\(390\) 1.62933 + 0.481764i 0.0825045 + 0.0243950i
\(391\) 10.9657 14.2908i 0.554561 0.722717i
\(392\) −4.62196 + 43.3480i −0.233444 + 2.18940i
\(393\) −18.1180 5.09042i −0.913930 0.256778i
\(394\) −8.30520 32.7706i −0.418410 1.65096i
\(395\) 0.444648 0.665463i 0.0223727 0.0334831i
\(396\) 6.90248 + 5.14381i 0.346863 + 0.258486i
\(397\) −31.6911 6.30374i −1.59053 0.316376i −0.681086 0.732204i \(-0.738492\pi\)
−0.909443 + 0.415828i \(0.863492\pi\)
\(398\) 15.5935 7.42813i 0.781632 0.372339i
\(399\) 3.42623 23.7962i 0.171526 1.19130i
\(400\) −1.52438 19.8785i −0.0762192 0.993927i
\(401\) 1.60644 5.99533i 0.0802220 0.299392i −0.914145 0.405388i \(-0.867136\pi\)
0.994367 + 0.105996i \(0.0338030\pi\)
\(402\) 7.38671 32.7190i 0.368416 1.63187i
\(403\) 3.78987 + 3.32363i 0.188787 + 0.165562i
\(404\) 21.4483 + 4.87585i 1.06709 + 0.242583i
\(405\) −1.12311 0.128419i −0.0558080 0.00638119i
\(406\) 0.486466 35.7907i 0.0241429 1.77626i
\(407\) 10.6899 8.20266i 0.529879 0.406591i
\(408\) 13.1298 27.4909i 0.650022 1.36100i
\(409\) 25.7689 + 19.7732i 1.27419 + 0.977722i 0.999871 + 0.0160835i \(0.00511976\pi\)
0.274321 + 0.961638i \(0.411547\pi\)
\(410\) 0.645306 + 0.509243i 0.0318694 + 0.0251497i
\(411\) −12.3261 11.0764i −0.608002 0.546358i
\(412\) 16.3843 + 10.0629i 0.807194 + 0.495763i
\(413\) 2.74022 + 4.10104i 0.134838 + 0.201799i
\(414\) 10.4688 6.43661i 0.514513 0.316342i
\(415\) 0.963205i 0.0472819i
\(416\) −26.0183 + 17.2907i −1.27565 + 0.847748i
\(417\) −6.92385 + 0.826448i −0.339063 + 0.0404713i
\(418\) −1.83548 5.65868i −0.0897764 0.276775i
\(419\) 4.01262 8.13679i 0.196029 0.397508i −0.776558 0.630046i \(-0.783036\pi\)
0.972587 + 0.232537i \(0.0747028\pi\)
\(420\) −1.58370 1.31718i −0.0772766 0.0642718i
\(421\) 29.9539 + 10.1680i 1.45986 + 0.495557i 0.934698 0.355442i \(-0.115670\pi\)
0.525167 + 0.850999i \(0.324003\pi\)
\(422\) 9.38736 + 23.5639i 0.456970 + 1.14707i
\(423\) 16.3247 11.9101i 0.793734 0.579087i
\(424\) 4.50734 + 2.08613i 0.218896 + 0.101312i
\(425\) −24.5904 + 18.8689i −1.19281 + 0.915275i
\(426\) −13.9601 + 10.1530i −0.676369 + 0.491917i
\(427\) −2.52440 + 38.5149i −0.122164 + 1.86387i
\(428\) 5.10233 + 2.69100i 0.246631 + 0.130074i
\(429\) −7.76178 + 11.3175i −0.374742 + 0.546412i
\(430\) −0.419298 + 1.18218i −0.0202203 + 0.0570096i
\(431\) 11.9445 + 11.9445i 0.575348 + 0.575348i 0.933618 0.358270i \(-0.116633\pi\)
−0.358270 + 0.933618i \(0.616633\pi\)
\(432\) 15.0628 14.3218i 0.724708 0.689056i
\(433\) 16.8574 16.8574i 0.810116 0.810116i −0.174535 0.984651i \(-0.555842\pi\)
0.984651 + 0.174535i \(0.0558423\pi\)
\(434\) −2.62819 5.51723i −0.126157 0.264835i
\(435\) 0.959180 + 0.657828i 0.0459892 + 0.0315405i
\(436\) −2.11597 + 22.7774i −0.101337 + 1.09084i
\(437\) −8.47451 0.555448i −0.405391 0.0265707i
\(438\) 0.0454903 + 0.00718213i 0.00217361 + 0.000343176i
\(439\) 6.33831 + 8.26025i 0.302511 + 0.394240i 0.919730 0.392551i \(-0.128407\pi\)
−0.617219 + 0.786791i \(0.711741\pi\)
\(440\) −0.495437 0.119732i −0.0236190 0.00570800i
\(441\) 45.9751 4.92429i 2.18929 0.234490i
\(442\) 44.6141 + 19.1942i 2.12208 + 0.912975i
\(443\) 9.17228 27.0207i 0.435788 1.28379i −0.478272 0.878212i \(-0.658737\pi\)
0.914060 0.405579i \(-0.132930\pi\)
\(444\) −15.1477 28.7920i −0.718880 1.36641i
\(445\) 2.11640 + 1.04369i 0.100327 + 0.0494757i
\(446\) −1.86478 + 3.65531i −0.0882999 + 0.173084i
\(447\) −1.67757 14.0544i −0.0793461 0.664750i
\(448\) 37.2600 6.78991i 1.76037 0.320793i
\(449\) −40.1124 −1.89302 −0.946511 0.322671i \(-0.895419\pi\)
−0.946511 + 0.322671i \(0.895419\pi\)
\(450\) −20.2666 + 6.03587i −0.955374 + 0.284533i
\(451\) −5.52063 + 3.68877i −0.259956 + 0.173697i
\(452\) −25.9604 4.13840i −1.22107 0.194654i
\(453\) 3.31673 3.69095i 0.155833 0.173416i
\(454\) −2.04179 17.3254i −0.0958259 0.813120i
\(455\) 1.99907 2.60524i 0.0937180 0.122136i
\(456\) −14.2160 + 2.05377i −0.665724 + 0.0961767i
\(457\) −7.11230 9.26894i −0.332700 0.433583i 0.596809 0.802383i \(-0.296435\pi\)
−0.929508 + 0.368801i \(0.879768\pi\)
\(458\) −1.07199 1.10153i −0.0500909 0.0514713i
\(459\) −31.4429 7.45001i −1.46763 0.347737i
\(460\) −0.420554 + 0.593806i −0.0196084 + 0.0276864i
\(461\) 25.5204 29.1005i 1.18860 1.35534i 0.268689 0.963227i \(-0.413410\pi\)
0.919915 0.392117i \(-0.128257\pi\)
\(462\) 14.0665 8.88493i 0.654433 0.413364i
\(463\) 24.9765 + 6.69243i 1.16076 + 0.311023i 0.787267 0.616612i \(-0.211495\pi\)
0.373488 + 0.927635i \(0.378162\pi\)
\(464\) −20.5936 + 5.76347i −0.956036 + 0.267562i
\(465\) 0.196550 + 0.0282997i 0.00911481 + 0.00131237i
\(466\) 2.18458 6.15926i 0.101199 0.285322i
\(467\) 4.04782 20.3498i 0.187311 0.941674i −0.766724 0.641977i \(-0.778114\pi\)
0.954034 0.299697i \(-0.0968856\pi\)
\(468\) 23.7571 + 23.0979i 1.09817 + 1.06770i
\(469\) −53.9029 36.0168i −2.48900 1.66310i
\(470\) −0.612273 + 1.02797i −0.0282421 + 0.0474165i
\(471\) 2.32875 8.28854i 0.107303 0.381916i
\(472\) 1.88768 2.26276i 0.0868875 0.104152i
\(473\) −8.03766 6.16751i −0.369572 0.283582i
\(474\) 13.7130 7.45427i 0.629861 0.342386i
\(475\) 13.8379 + 4.69735i 0.634929 + 0.215529i
\(476\) −40.4885 42.7517i −1.85579 1.95952i
\(477\) 1.15245 5.14037i 0.0527669 0.235361i
\(478\) 19.8201 + 4.22327i 0.906550 + 0.193168i
\(479\) −3.48119 2.00986i −0.159060 0.0918331i 0.418357 0.908282i \(-0.362606\pi\)
−0.577417 + 0.816449i \(0.695939\pi\)
\(480\) −0.487508 + 1.12998i −0.0222516 + 0.0515764i
\(481\) 44.9163 25.9324i 2.04801 1.18242i
\(482\) 4.01612 1.30269i 0.182929 0.0593360i
\(483\) −4.35155 23.3498i −0.198003 1.06245i
\(484\) −9.35920 + 15.2385i −0.425418 + 0.692660i
\(485\) −0.108477 0.545350i −0.00492568 0.0247631i
\(486\) −18.2236 12.4057i −0.826639 0.562732i
\(487\) 27.7227 11.4831i 1.25624 0.520350i 0.347483 0.937686i \(-0.387036\pi\)
0.908752 + 0.417336i \(0.137036\pi\)
\(488\) 22.4989 5.05544i 1.01848 0.228849i
\(489\) −17.8023 18.2384i −0.805049 0.824770i
\(490\) −2.38936 + 1.33653i −0.107940 + 0.0603783i
\(491\) −0.0971863 + 1.48278i −0.00438596 + 0.0669168i −0.999491 0.0319080i \(-0.989842\pi\)
0.995105 + 0.0988247i \(0.0315083\pi\)
\(492\) 6.52030 + 14.6453i 0.293958 + 0.660261i
\(493\) 24.9962 + 21.9211i 1.12577 + 0.987277i
\(494\) −4.16160 22.5170i −0.187239 1.01309i
\(495\) −0.0130810 + 0.540460i −0.000587948 + 0.0242919i
\(496\) −2.71821 + 2.43764i −0.122051 + 0.109453i
\(497\) 8.63481 + 32.2256i 0.387324 + 1.44551i
\(498\) 8.73805 16.6280i 0.391561 0.745120i
\(499\) 5.18183 + 15.2652i 0.231971 + 0.683363i 0.999122 + 0.0418971i \(0.0133402\pi\)
−0.767151 + 0.641466i \(0.778327\pi\)
\(500\) 1.92995 1.60185i 0.0863098 0.0716369i
\(501\) 5.90926 + 3.00355i 0.264006 + 0.134189i
\(502\) 2.17034 + 8.56370i 0.0968668 + 0.382217i
\(503\) −14.2762 + 34.4658i −0.636545 + 1.53676i 0.194707 + 0.980861i \(0.437624\pi\)
−0.831253 + 0.555895i \(0.812376\pi\)
\(504\) −15.3905 37.1059i −0.685548 1.65283i
\(505\) 0.528622 + 1.27621i 0.0235234 + 0.0567905i
\(506\) −3.51412 4.71090i −0.156222 0.209425i
\(507\) −20.2568 + 22.5423i −0.899635 + 1.00114i
\(508\) −40.1210 + 4.17624i −1.78008 + 0.185291i
\(509\) 20.5047 + 10.1118i 0.908854 + 0.448197i 0.835739 0.549126i \(-0.185039\pi\)
0.0731145 + 0.997324i \(0.476706\pi\)
\(510\) 1.88549 0.324936i 0.0834908 0.0143884i
\(511\) 0.0445048 0.0770845i 0.00196878 0.00341002i
\(512\) −10.1816 20.2073i −0.449967 0.893045i
\(513\) 5.31549 + 14.2775i 0.234685 + 0.630366i
\(514\) 30.4353 19.7432i 1.34244 0.870837i
\(515\) 0.0789767 + 1.20495i 0.00348013 + 0.0530965i
\(516\) −17.9630 + 16.6044i −0.790775 + 0.730968i
\(517\) −6.37195 7.26582i −0.280238 0.319550i
\(518\) −62.4464 + 7.35929i −2.74374 + 0.323349i
\(519\) −22.2263 13.1935i −0.975627 0.579130i
\(520\) −1.83054 0.705840i −0.0802747 0.0309531i
\(521\) 3.15744 7.62273i 0.138330 0.333958i −0.839500 0.543360i \(-0.817152\pi\)
0.977830 + 0.209402i \(0.0671518\pi\)
\(522\) 10.5908 + 20.0578i 0.463548 + 0.877905i
\(523\) −1.85088 + 2.77003i −0.0809332 + 0.121125i −0.869728 0.493532i \(-0.835706\pi\)
0.788794 + 0.614657i \(0.210706\pi\)
\(524\) 20.3802 + 7.54185i 0.890311 + 0.329467i
\(525\) −3.16627 + 40.7472i −0.138187 + 1.77835i
\(526\) −2.79043 + 35.2300i −0.121669 + 1.53610i
\(527\) 5.48292 + 1.46914i 0.238840 + 0.0639969i
\(528\) −7.46666 6.56149i −0.324945 0.285552i
\(529\) 14.1119 3.78127i 0.613560 0.164403i
\(530\) 0.0566887 + 0.306723i 0.00246240 + 0.0133232i
\(531\) −2.76892 1.44980i −0.120161 0.0629160i
\(532\) −6.15389 + 27.0702i −0.266805 + 1.17364i
\(533\) −22.9213 + 11.3035i −0.992830 + 0.489610i
\(534\) 27.0676 + 37.2171i 1.17133 + 1.61054i
\(535\) 0.0472858 + 0.359171i 0.00204434 + 0.0155283i
\(536\) −11.5411 + 36.9720i −0.498499 + 1.59695i
\(537\) −22.2105 0.268746i −0.958453 0.0115973i
\(538\) −3.17338 + 21.8095i −0.136814 + 0.940273i
\(539\) −4.31401 21.6880i −0.185818 0.934168i
\(540\) 1.28073 + 0.252132i 0.0551138 + 0.0108500i
\(541\) 11.1179 + 16.6391i 0.477995 + 0.715370i 0.989599 0.143851i \(-0.0459486\pi\)
−0.511604 + 0.859221i \(0.670949\pi\)
\(542\) 5.31924 + 4.79429i 0.228481 + 0.205932i
\(543\) 10.6561 24.8706i 0.457296 1.06730i
\(544\) −17.6655 + 30.4212i −0.757402 + 1.30430i
\(545\) −1.24415 + 0.718311i −0.0532936 + 0.0307690i
\(546\) 58.1449 26.8397i 2.48837 1.14863i
\(547\) −27.8326 + 1.82425i −1.19004 + 0.0779992i −0.647522 0.762047i \(-0.724195\pi\)
−0.542516 + 0.840046i \(0.682528\pi\)
\(548\) 13.1579 + 13.8934i 0.562080 + 0.593499i
\(549\) −10.2839 22.1917i −0.438905 0.947119i
\(550\) 3.74274 + 9.39492i 0.159591 + 0.400601i
\(551\) 2.04598 15.5408i 0.0871618 0.662060i
\(552\) −12.6470 + 6.43582i −0.538294 + 0.273927i
\(553\) −3.93749 29.9082i −0.167439 1.27183i
\(554\) −1.73916 3.10915i −0.0738899 0.132095i
\(555\) 0.925774 1.82139i 0.0392969 0.0773138i
\(556\) 8.04583 0.308045i 0.341219 0.0130640i
\(557\) −8.09150 + 40.6787i −0.342848 + 1.72361i 0.296796 + 0.954941i \(0.404082\pi\)
−0.639644 + 0.768672i \(0.720918\pi\)
\(558\) 3.13637 + 2.27162i 0.132773 + 0.0961653i
\(559\) −27.5749 27.5749i −1.16629 1.16629i
\(560\) 1.70042 + 1.66313i 0.0718558 + 0.0702801i
\(561\) −2.20232 + 15.2958i −0.0929821 + 0.645791i
\(562\) 32.3272 + 2.56051i 1.36364 + 0.108009i
\(563\) 2.53163 + 7.45794i 0.106695 + 0.314315i 0.987145 0.159824i \(-0.0510928\pi\)
−0.880450 + 0.474139i \(0.842759\pi\)
\(564\) −19.8954 + 12.1916i −0.837746 + 0.513358i
\(565\) −0.730195 1.48069i −0.0307195 0.0622930i
\(566\) 15.0268 + 15.4409i 0.631623 + 0.649030i
\(567\) −35.0183 + 24.2723i −1.47063 + 1.01934i
\(568\) 17.0106 10.3890i 0.713749 0.435911i
\(569\) 11.5112 + 1.51548i 0.482574 + 0.0635321i 0.367889 0.929870i \(-0.380081\pi\)
0.114685 + 0.993402i \(0.463414\pi\)
\(570\) −0.621255 0.654025i −0.0260215 0.0273941i
\(571\) −16.0864 18.3431i −0.673196 0.767633i 0.309891 0.950772i \(-0.399708\pi\)
−0.983087 + 0.183139i \(0.941374\pi\)
\(572\) 9.98477 12.3049i 0.417484 0.514495i
\(573\) 0.228458 0.647182i 0.00954397 0.0270364i
\(574\) 30.9423 1.60607i 1.29151 0.0670361i
\(575\) 14.4373 0.602078
\(576\) −18.6670 + 15.0845i −0.777791 + 0.628523i
\(577\) −19.5733 −0.814847 −0.407423 0.913239i \(-0.633573\pi\)
−0.407423 + 0.913239i \(0.633573\pi\)
\(578\) 30.6084 1.58873i 1.27314 0.0660827i
\(579\) 11.5157 + 13.4562i 0.478577 + 0.559219i
\(580\) −1.04287 0.846232i −0.0433028 0.0351379i
\(581\) −23.9374 27.2954i −0.993090 1.13240i
\(582\) 3.07467 10.3986i 0.127449 0.431036i
\(583\) −2.49780 0.328842i −0.103448 0.0136192i
\(584\) −0.0516903 0.0124920i −0.00213896 0.000516921i
\(585\) −0.321456 + 2.05594i −0.0132906 + 0.0850028i
\(586\) −18.4289 18.9368i −0.761291 0.782271i
\(587\) −11.2136 22.7388i −0.462833 0.938532i −0.995727 0.0923501i \(-0.970562\pi\)
0.532894 0.846182i \(-0.321105\pi\)
\(588\) −53.3728 + 1.39699i −2.20106 + 0.0576109i
\(589\) −0.860245 2.53420i −0.0354458 0.104420i
\(590\) 0.184484 + 0.0146123i 0.00759510 + 0.000601577i
\(591\) 38.4417 15.3808i 1.58128 0.632683i
\(592\) 14.7599 + 34.5454i 0.606629 + 1.41981i
\(593\) 18.4772 + 18.4772i 0.758769 + 0.758769i 0.976098 0.217329i \(-0.0697346\pi\)
−0.217329 + 0.976098i \(0.569735\pi\)
\(594\) −5.12879 + 9.21142i −0.210437 + 0.377949i
\(595\) 0.721417 3.62681i 0.0295752 0.148685i
\(596\) 0.625286 + 16.3319i 0.0256127 + 0.668979i
\(597\) 11.5390 + 17.7300i 0.472260 + 0.725641i
\(598\) −11.0438 19.7434i −0.451616 0.807367i
\(599\) −4.19393 31.8561i −0.171359 1.30160i −0.833623 0.552333i \(-0.813738\pi\)
0.662264 0.749271i \(-0.269596\pi\)
\(600\) 23.8866 5.06446i 0.975167 0.206756i
\(601\) 0.300630 2.28351i 0.0122629 0.0931462i −0.984219 0.176955i \(-0.943375\pi\)
0.996482 + 0.0838090i \(0.0267086\pi\)
\(602\) 17.4972 + 43.9209i 0.713131 + 1.79008i
\(603\) 40.9159 + 3.67792i 1.66623 + 0.149776i
\(604\) −4.16027 + 3.94003i −0.169279 + 0.160318i
\(605\) −1.12069 + 0.0734539i −0.0455626 + 0.00298633i
\(606\) −2.45182 + 26.8271i −0.0995984 + 1.08977i
\(607\) 18.9344 10.9318i 0.768525 0.443708i −0.0638231 0.997961i \(-0.520329\pi\)
0.832348 + 0.554253i \(0.186996\pi\)
\(608\) 16.5528 1.04328i 0.671303 0.0423104i
\(609\) 43.5295 5.19579i 1.76391 0.210544i
\(610\) 1.07574 + 0.969578i 0.0435555 + 0.0392571i
\(611\) −20.6664 30.9294i −0.836071 1.25127i
\(612\) 35.4974 + 11.4954i 1.43490 + 0.464674i
\(613\) −2.99479 15.0558i −0.120958 0.608099i −0.992946 0.118570i \(-0.962169\pi\)
0.871987 0.489529i \(-0.162831\pi\)
\(614\) 2.03348 13.9753i 0.0820644 0.563998i
\(615\) −0.513907 + 0.865750i −0.0207227 + 0.0349104i
\(616\) −17.0153 + 8.91953i −0.685565 + 0.359378i
\(617\) −2.73270 20.7569i −0.110014 0.835641i −0.954112 0.299451i \(-0.903196\pi\)
0.844097 0.536190i \(-0.180137\pi\)
\(618\) −9.56774 + 21.5178i −0.384871 + 0.865574i
\(619\) −2.93607 + 1.44791i −0.118010 + 0.0581963i −0.500336 0.865832i \(-0.666790\pi\)
0.382325 + 0.924028i \(0.375123\pi\)
\(620\) −0.223593 0.0508295i −0.00897969 0.00204136i
\(621\) 9.50674 + 11.6688i 0.381492 + 0.468252i
\(622\) 4.12567 + 22.3225i 0.165424 + 0.895052i
\(623\) 85.9121 23.0201i 3.44200 0.922280i
\(624\) −25.1979 28.7915i −1.00872 1.15258i
\(625\) −23.9198 6.40929i −0.956792 0.256372i
\(626\) 0.308203 3.89115i 0.0123183 0.155522i
\(627\) 6.57305 3.14318i 0.262502 0.125526i
\(628\) −3.45022 + 9.32345i −0.137679 + 0.372046i
\(629\) 32.4475 48.5611i 1.29377 1.93626i
\(630\) 1.34305 2.13561i 0.0535085 0.0850846i
\(631\) −11.7925 + 28.4696i −0.469451 + 1.13336i 0.494952 + 0.868920i \(0.335186\pi\)
−0.964403 + 0.264435i \(0.914814\pi\)
\(632\) −16.4756 + 7.30574i −0.655363 + 0.290607i
\(633\) −27.0896 + 15.2062i −1.07671 + 0.604390i
\(634\) −2.59724 + 0.306084i −0.103150 + 0.0121561i
\(635\) −1.67031 1.90463i −0.0662844 0.0755828i
\(636\) −1.80391 + 5.80930i −0.0715297 + 0.230354i
\(637\) −5.56685 84.9337i −0.220567 3.36520i
\(638\) 9.10045 5.90342i 0.360290 0.233719i
\(639\) −14.5830 15.3065i −0.576896 0.605515i
\(640\) 0.666066 1.25528i 0.0263286 0.0496192i
\(641\) −8.06680 + 13.9721i −0.318619 + 0.551865i −0.980200 0.198009i \(-0.936552\pi\)
0.661581 + 0.749874i \(0.269886\pi\)
\(642\) −2.44204 + 6.62943i −0.0963797 + 0.261643i
\(643\) −37.8272 18.6543i −1.49176 0.735655i −0.500275 0.865867i \(-0.666768\pi\)
−0.991486 + 0.130212i \(0.958434\pi\)
\(644\) 2.83948 + 27.2788i 0.111891 + 1.07494i
\(645\) −1.50298 0.317913i −0.0591799 0.0125178i
\(646\) −15.4176 20.6683i −0.606599 0.813184i
\(647\) −3.43875 8.30188i −0.135191 0.326380i 0.841757 0.539856i \(-0.181521\pi\)
−0.976948 + 0.213476i \(0.931521\pi\)
\(648\) 19.8222 + 15.9712i 0.778691 + 0.627408i
\(649\) −0.572014 + 1.38096i −0.0224535 + 0.0542076i
\(650\) 9.56297 + 37.7335i 0.375090 + 1.48003i
\(651\) 6.27316 4.08268i 0.245864 0.160013i
\(652\) 18.7956 + 22.6453i 0.736091 + 0.886860i
\(653\) −9.44095 27.8121i −0.369453 1.08837i −0.959670 0.281129i \(-0.909291\pi\)
0.590217 0.807244i \(-0.299042\pi\)
\(654\) −27.9945 + 1.11363i −1.09467 + 0.0435463i
\(655\) 0.353220 + 1.31824i 0.0138015 + 0.0515077i
\(656\) −6.14418 17.4618i −0.239890 0.681769i
\(657\) −0.00136478 + 0.0563876i −5.32451e−5 + 0.00219989i
\(658\) 8.19618 + 44.3467i 0.319520 + 1.72881i
\(659\) 26.7809 + 23.4862i 1.04323 + 0.914892i 0.996465 0.0840142i \(-0.0267741\pi\)
0.0467693 + 0.998906i \(0.485107\pi\)
\(660\) 0.0652594 0.620832i 0.00254022 0.0241658i
\(661\) −0.184756 + 2.81884i −0.00718619 + 0.109640i −0.999945 0.0104843i \(-0.996663\pi\)
0.992759 + 0.120124i \(0.0383294\pi\)
\(662\) −23.5379 + 13.1664i −0.914825 + 0.511725i
\(663\) −16.0894 + 57.2659i −0.624862 + 2.22402i
\(664\) −11.6017 + 18.3265i −0.450234 + 0.711206i
\(665\) −1.61072 + 0.667183i −0.0624612 + 0.0258723i
\(666\) 32.5052 23.0446i 1.25955 0.892962i
\(667\) −3.02115 15.1884i −0.116980 0.588096i
\(668\) −6.52231 4.00587i −0.252356 0.154992i
\(669\) −4.73912 1.67293i −0.183225 0.0646792i
\(670\) −2.31373 + 0.750495i −0.0893872 + 0.0289942i
\(671\) −10.1300 + 5.84857i −0.391065 + 0.225782i
\(672\) 14.2671 + 44.1369i 0.550364 + 1.70262i
\(673\) −10.3622 5.98263i −0.399434 0.230613i 0.286806 0.957989i \(-0.407407\pi\)
−0.686240 + 0.727375i \(0.740740\pi\)
\(674\) −19.9614 4.25339i −0.768886 0.163834i
\(675\) −10.6042 23.6283i −0.408158 0.909454i
\(676\) 25.4087 24.0636i 0.977256 0.925522i
\(677\) 10.5176 + 3.57024i 0.404223 + 0.137215i 0.516144 0.856502i \(-0.327367\pi\)
−0.111921 + 0.993717i \(0.535700\pi\)
\(678\) 0.827049 32.1857i 0.0317626 1.23608i
\(679\) −16.6270 12.7583i −0.638084 0.489619i
\(680\) −2.20030 + 0.198844i −0.0843777 + 0.00762531i
\(681\) 20.7034 5.27982i 0.793355 0.202323i
\(682\) 0.947729 1.59117i 0.0362904 0.0609292i
\(683\) −8.41732 5.62427i −0.322080 0.215207i 0.384010 0.923329i \(-0.374543\pi\)
−0.706090 + 0.708122i \(0.749543\pi\)
\(684\) −4.79167 16.9265i −0.183214 0.647202i
\(685\) −0.234446 + 1.17864i −0.00895773 + 0.0450335i
\(686\) −18.8281 + 53.0843i −0.718860 + 2.02677i
\(687\) 1.16398 1.47951i 0.0444086 0.0564470i
\(688\) 22.2170 17.4424i 0.847016 0.664985i
\(689\) −9.36696 2.50987i −0.356853 0.0956184i
\(690\) −0.788889 0.414562i −0.0300325 0.0157821i
\(691\) −21.8197 + 24.8806i −0.830059 + 0.946501i −0.999236 0.0390849i \(-0.987556\pi\)
0.169177 + 0.985586i \(0.445889\pi\)
\(692\) 24.3560 + 17.2498i 0.925877 + 0.655738i
\(693\) 13.0607 + 15.6407i 0.496135 + 0.594140i
\(694\) −2.59193 2.66336i −0.0983883 0.101100i
\(695\) 0.307828 + 0.401170i 0.0116766 + 0.0152172i
\(696\) −10.3264 24.0695i −0.391422 0.912350i
\(697\) −17.5196 + 22.8320i −0.663601 + 0.864822i
\(698\) −2.09379 17.7666i −0.0792510 0.672476i
\(699\) 7.83070 + 1.65636i 0.296184 + 0.0626493i
\(700\) 7.42928 46.6042i 0.280800 1.76147i
\(701\) 8.54174 5.70741i 0.322617 0.215566i −0.383706 0.923455i \(-0.625352\pi\)
0.706323 + 0.707889i \(0.250352\pi\)
\(702\) −24.2006 + 32.5761i −0.913392 + 1.22950i
\(703\) −27.5357 −1.03853
\(704\) 7.98431 + 8.24558i 0.300920 + 0.310767i
\(705\) −1.34697 0.577123i −0.0507297 0.0217357i
\(706\) −20.2440 + 39.6819i −0.761893 + 1.49345i
\(707\) 46.6962 + 23.0280i 1.75619 + 0.866058i
\(708\) 3.05224 + 1.92587i 0.114710 + 0.0723785i
\(709\) −9.61019 + 28.3107i −0.360918 + 1.06323i 0.603162 + 0.797619i \(0.293907\pi\)
−0.964080 + 0.265612i \(0.914426\pi\)
\(710\) 1.14987 + 0.494708i 0.0431540 + 0.0185660i
\(711\) 11.2667 + 15.4429i 0.422535 + 0.579153i
\(712\) −27.6966 45.3497i −1.03797 1.69955i
\(713\) −1.60954 2.09760i −0.0602779 0.0785557i
\(714\) 45.3558 56.0659i 1.69740 2.09821i
\(715\) 0.993049 + 0.0650879i 0.0371379 + 0.00243415i
\(716\) 25.5384 + 2.37246i 0.954413 + 0.0886631i
\(717\) −1.92281 + 24.7449i −0.0718085 + 0.924116i
\(718\) −1.34386 2.82109i −0.0501523 0.105282i
\(719\) 7.41336 7.41336i 0.276472 0.276472i −0.555227 0.831699i \(-0.687369\pi\)
0.831699 + 0.555227i \(0.187369\pi\)
\(720\) −1.45065 0.409161i −0.0540624 0.0152485i
\(721\) 32.1833 + 32.1833i 1.19857 + 1.19857i
\(722\) 4.91826 13.8666i 0.183039 0.516063i
\(723\) 2.23080 + 4.66507i 0.0829644 + 0.173496i
\(724\) −14.5749 + 27.6352i −0.541674 + 1.02705i
\(725\) −1.74279 + 26.5898i −0.0647255 + 0.987520i
\(726\) −20.0131 8.89868i −0.742756 0.330261i
\(727\) 32.1308 24.6548i 1.19166 0.914396i 0.193886 0.981024i \(-0.437891\pi\)
0.997778 + 0.0666280i \(0.0212241\pi\)
\(728\) −69.4154 + 25.4902i −2.57271 + 0.944730i
\(729\) 12.1145 24.1296i 0.448687 0.893689i
\(730\) −0.00123599 0.00310256i −4.57462e−5 0.000114831i
\(731\) −41.5829 14.1155i −1.53800 0.522081i
\(732\) 9.77491 + 26.4970i 0.361291 + 0.979357i
\(733\) −4.44791 + 9.01946i −0.164287 + 0.333141i −0.963412 0.268023i \(-0.913630\pi\)
0.799125 + 0.601164i \(0.205296\pi\)
\(734\) 2.69752 + 8.31630i 0.0995674 + 0.306960i
\(735\) −2.00888 2.68466i −0.0740986 0.0990253i
\(736\) 15.1540 6.23257i 0.558585 0.229736i
\(737\) 19.6465i 0.723689i
\(738\) −16.7256 + 10.2836i −0.615679 + 0.378543i
\(739\) −6.20778 9.29060i −0.228357 0.341760i 0.699542 0.714591i \(-0.253387\pi\)
−0.927899 + 0.372831i \(0.878387\pi\)
\(740\) −1.23472 + 2.01035i −0.0453891 + 0.0739019i
\(741\) 26.6634 8.69267i 0.979504 0.319333i
\(742\) 9.22906 + 7.28311i 0.338810 + 0.267371i
\(743\) −9.56469 7.33925i −0.350895 0.269251i 0.418242 0.908336i \(-0.362647\pi\)
−0.769136 + 0.639085i \(0.779313\pi\)
\(744\) −3.39882 2.90588i −0.124607 0.106535i
\(745\) −0.814315 + 0.624846i −0.0298342 + 0.0228926i
\(746\) 0.290274 21.3563i 0.0106277 0.781909i
\(747\) 21.5996 + 7.91993i 0.790288 + 0.289775i
\(748\) 3.95562 17.4003i 0.144632 0.636218i
\(749\) 10.2660 + 9.00308i 0.375113 + 0.328965i
\(750\) 2.25671 + 2.08403i 0.0824033 + 0.0760981i
\(751\) −0.351724 + 1.31265i −0.0128346 + 0.0478994i −0.972046 0.234790i \(-0.924560\pi\)
0.959212 + 0.282689i \(0.0912265\pi\)
\(752\) 24.0312 12.1839i 0.876328 0.444301i
\(753\) −10.0457 + 4.01936i −0.366085 + 0.146474i
\(754\) 37.6953 17.9566i 1.37278 0.653940i
\(755\) −0.352933 0.0702028i −0.0128446 0.00255494i
\(756\) 42.5593 24.6835i 1.54787 0.897731i
\(757\) −9.79787 + 14.6636i −0.356110 + 0.532956i −0.965666 0.259787i \(-0.916348\pi\)
0.609556 + 0.792743i \(0.291348\pi\)
\(758\) 6.21528 + 24.5242i 0.225749 + 0.890760i
\(759\) 5.15102 5.02786i 0.186970 0.182500i
\(760\) 0.654286 + 0.810465i 0.0237335 + 0.0293986i
\(761\) 25.8247 33.6554i 0.936146 1.22001i −0.0391787 0.999232i \(-0.512474\pi\)
0.975324 0.220777i \(-0.0708592\pi\)
\(762\) −11.5565 48.0329i −0.418649 1.74005i
\(763\) −17.4055 + 51.2749i −0.630121 + 1.85628i
\(764\) −0.323063 + 0.723658i −0.0116880 + 0.0261810i
\(765\) 0.699313 + 2.23650i 0.0252837 + 0.0808609i
\(766\) 39.3661 25.5366i 1.42235 0.922675i
\(767\) −2.87675 + 4.98268i −0.103874 + 0.179914i
\(768\) 22.8861 15.6277i 0.825832 0.563916i
\(769\) 24.6270 + 42.6553i 0.888074 + 1.53819i 0.842149 + 0.539245i \(0.181290\pi\)
0.0459250 + 0.998945i \(0.485376\pi\)
\(770\) −1.07473 0.548283i −0.0387307 0.0197588i
\(771\) 28.8894 + 33.7573i 1.04043 + 1.21574i
\(772\) −12.0042 16.5572i −0.432039