Properties

Label 225.2.q.a.16.2
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.2
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.43895 + 1.08589i) q^{2} +(-1.70795 - 0.287957i) q^{3} +(3.43105 - 3.81057i) q^{4} +(0.156246 - 2.23060i) q^{5} +(4.47828 - 1.15233i) q^{6} +(0.0677783 - 0.117395i) q^{7} +(-2.58030 + 7.94134i) q^{8} +(2.83416 + 0.983632i) q^{9} +O(q^{10})\) \(q+(-2.43895 + 1.08589i) q^{2} +(-1.70795 - 0.287957i) q^{3} +(3.43105 - 3.81057i) q^{4} +(0.156246 - 2.23060i) q^{5} +(4.47828 - 1.15233i) q^{6} +(0.0677783 - 0.117395i) q^{7} +(-2.58030 + 7.94134i) q^{8} +(2.83416 + 0.983632i) q^{9} +(2.04111 + 5.60999i) q^{10} +(-3.84795 + 1.71322i) q^{11} +(-6.95733 + 5.52025i) q^{12} +(-1.38801 - 0.617982i) q^{13} +(-0.0378292 + 0.359921i) q^{14} +(-0.909179 + 3.76476i) q^{15} +(-1.25824 - 11.9714i) q^{16} +(1.49050 - 4.58730i) q^{17} +(-7.98049 + 0.678560i) q^{18} +(-0.0886646 + 0.272882i) q^{19} +(-7.96377 - 8.24870i) q^{20} +(-0.149567 + 0.180988i) q^{21} +(7.52458 - 8.35690i) q^{22} +(-0.581968 + 5.53705i) q^{23} +(6.69377 - 12.8204i) q^{24} +(-4.95117 - 0.697047i) q^{25} +4.05635 q^{26} +(-4.55735 - 2.49611i) q^{27} +(-0.214793 - 0.661064i) q^{28} +(-4.07656 - 0.866500i) q^{29} +(-1.87067 - 10.1693i) q^{30} +(-9.47469 + 2.01391i) q^{31} +(7.71834 + 13.3686i) q^{32} +(7.06542 - 1.81804i) q^{33} +(1.34604 + 12.8067i) q^{34} +(-0.251272 - 0.169529i) q^{35} +(13.4723 - 7.42487i) q^{36} +(-8.14328 + 5.91644i) q^{37} +(-0.0800710 - 0.761824i) q^{38} +(2.19270 + 1.45517i) q^{39} +(17.3108 + 6.99642i) q^{40} +(-6.23965 - 2.77807i) q^{41} +(0.168252 - 0.603833i) q^{42} +(2.22316 - 3.85063i) q^{43} +(-6.67418 + 20.5410i) q^{44} +(2.63692 - 6.16820i) q^{45} +(-4.59324 - 14.1365i) q^{46} +(6.81762 + 1.44913i) q^{47} +(-1.29823 + 20.8087i) q^{48} +(3.49081 + 6.04626i) q^{49} +(12.8326 - 3.67637i) q^{50} +(-3.86665 + 7.40566i) q^{51} +(-7.11720 + 3.16878i) q^{52} +(-1.22682 - 3.77578i) q^{53} +(13.8256 + 1.13910i) q^{54} +(3.22028 + 8.85093i) q^{55} +(0.757388 + 0.841165i) q^{56} +(0.230013 - 0.440536i) q^{57} +(10.8834 - 2.31335i) q^{58} +(2.28974 + 1.01946i) q^{59} +(11.2264 + 16.3816i) q^{60} +(-0.993544 + 0.442354i) q^{61} +(20.9214 - 15.2003i) q^{62} +(0.307568 - 0.266049i) q^{63} +(-13.8646 - 10.0733i) q^{64} +(-1.59535 + 2.99954i) q^{65} +(-15.2580 + 12.1064i) q^{66} +(-8.73827 + 1.85738i) q^{67} +(-12.3662 - 21.4189i) q^{68} +(2.58841 - 9.28941i) q^{69} +(0.796930 + 0.140618i) q^{70} +(-0.994371 - 3.06036i) q^{71} +(-15.1243 + 19.9690i) q^{72} +(-2.15376 - 1.56480i) q^{73} +(13.4364 - 23.2726i) q^{74} +(8.25562 + 2.61625i) q^{75} +(0.735621 + 1.27413i) q^{76} +(-0.0596835 + 0.567851i) q^{77} +(-6.92803 - 1.16806i) q^{78} +(-3.63910 - 0.773514i) q^{79} +(-26.8999 + 0.936151i) q^{80} +(7.06494 + 5.57554i) q^{81} +18.2349 q^{82} +(-0.682979 - 0.758525i) q^{83} +(0.176496 + 1.19091i) q^{84} +(-9.99956 - 4.04147i) q^{85} +(-1.24082 + 11.8056i) q^{86} +(6.71303 + 2.65381i) q^{87} +(-3.67638 - 34.9785i) q^{88} +(5.75217 + 4.17920i) q^{89} +(0.266675 + 17.9073i) q^{90} +(-0.166625 + 0.121060i) q^{91} +(19.1026 + 21.2155i) q^{92} +(16.7622 - 0.711339i) q^{93} +(-18.2014 + 3.86883i) q^{94} +(0.594837 + 0.240412i) q^{95} +(-9.33293 - 25.0553i) q^{96} +(-2.06543 - 0.439021i) q^{97} +(-15.0795 - 10.9559i) q^{98} +(-12.5909 + 1.07057i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.43895 + 1.08589i −1.72460 + 0.767840i −0.727985 + 0.685593i \(0.759543\pi\)
−0.996612 + 0.0822469i \(0.973790\pi\)
\(3\) −1.70795 0.287957i −0.986083 0.166252i
\(4\) 3.43105 3.81057i 1.71553 1.90528i
\(5\) 0.156246 2.23060i 0.0698755 0.997556i
\(6\) 4.47828 1.15233i 1.82825 0.470436i
\(7\) 0.0677783 0.117395i 0.0256178 0.0443713i −0.852932 0.522022i \(-0.825178\pi\)
0.878550 + 0.477650i \(0.158511\pi\)
\(8\) −2.58030 + 7.94134i −0.912272 + 2.80769i
\(9\) 2.83416 + 0.983632i 0.944720 + 0.327877i
\(10\) 2.04111 + 5.60999i 0.645456 + 1.77403i
\(11\) −3.84795 + 1.71322i −1.16020 + 0.516554i −0.894310 0.447449i \(-0.852333\pi\)
−0.265891 + 0.964003i \(0.585666\pi\)
\(12\) −6.95733 + 5.52025i −2.00841 + 1.59356i
\(13\) −1.38801 0.617982i −0.384965 0.171398i 0.205123 0.978736i \(-0.434240\pi\)
−0.590088 + 0.807339i \(0.700907\pi\)
\(14\) −0.0378292 + 0.359921i −0.0101103 + 0.0961930i
\(15\) −0.909179 + 3.76476i −0.234749 + 0.972056i
\(16\) −1.25824 11.9714i −0.314560 2.99284i
\(17\) 1.49050 4.58730i 0.361500 1.11258i −0.590643 0.806933i \(-0.701126\pi\)
0.952144 0.305651i \(-0.0988741\pi\)
\(18\) −7.98049 + 0.678560i −1.88102 + 0.159938i
\(19\) −0.0886646 + 0.272882i −0.0203411 + 0.0626033i −0.960712 0.277548i \(-0.910478\pi\)
0.940371 + 0.340151i \(0.110478\pi\)
\(20\) −7.96377 8.24870i −1.78075 1.84447i
\(21\) −0.149567 + 0.180988i −0.0326381 + 0.0394948i
\(22\) 7.52458 8.35690i 1.60425 1.78170i
\(23\) −0.581968 + 5.53705i −0.121349 + 1.15456i 0.749155 + 0.662394i \(0.230460\pi\)
−0.870504 + 0.492161i \(0.836207\pi\)
\(24\) 6.69377 12.8204i 1.36636 2.61694i
\(25\) −4.95117 0.697047i −0.990235 0.139409i
\(26\) 4.05635 0.795515
\(27\) −4.55735 2.49611i −0.877063 0.480376i
\(28\) −0.214793 0.661064i −0.0405920 0.124929i
\(29\) −4.07656 0.866500i −0.756998 0.160905i −0.186784 0.982401i \(-0.559806\pi\)
−0.570214 + 0.821496i \(0.693140\pi\)
\(30\) −1.87067 10.1693i −0.341536 1.85665i
\(31\) −9.47469 + 2.01391i −1.70170 + 0.361708i −0.953414 0.301663i \(-0.902458\pi\)
−0.748290 + 0.663372i \(0.769125\pi\)
\(32\) 7.71834 + 13.3686i 1.36442 + 2.36325i
\(33\) 7.06542 1.81804i 1.22993 0.316480i
\(34\) 1.34604 + 12.8067i 0.230844 + 2.19633i
\(35\) −0.251272 0.169529i −0.0424728 0.0286556i
\(36\) 13.4723 7.42487i 2.24539 1.23748i
\(37\) −8.14328 + 5.91644i −1.33875 + 0.972657i −0.339258 + 0.940693i \(0.610176\pi\)
−0.999489 + 0.0319638i \(0.989824\pi\)
\(38\) −0.0800710 0.761824i −0.0129892 0.123584i
\(39\) 2.19270 + 1.45517i 0.351112 + 0.233014i
\(40\) 17.3108 + 6.99642i 2.73708 + 1.10623i
\(41\) −6.23965 2.77807i −0.974470 0.433862i −0.143177 0.989697i \(-0.545732\pi\)
−0.831293 + 0.555835i \(0.812399\pi\)
\(42\) 0.168252 0.603833i 0.0259619 0.0931734i
\(43\) 2.22316 3.85063i 0.339029 0.587216i −0.645221 0.763996i \(-0.723235\pi\)
0.984250 + 0.176780i \(0.0565682\pi\)
\(44\) −6.67418 + 20.5410i −1.00617 + 3.09667i
\(45\) 2.63692 6.16820i 0.393089 0.919501i
\(46\) −4.59324 14.1365i −0.677237 2.08432i
\(47\) 6.81762 + 1.44913i 0.994453 + 0.211377i 0.676272 0.736652i \(-0.263595\pi\)
0.318181 + 0.948030i \(0.396928\pi\)
\(48\) −1.29823 + 20.8087i −0.187384 + 3.00348i
\(49\) 3.49081 + 6.04626i 0.498687 + 0.863752i
\(50\) 12.8326 3.67637i 1.81480 0.519917i
\(51\) −3.86665 + 7.40566i −0.541439 + 1.03700i
\(52\) −7.11720 + 3.16878i −0.986978 + 0.439431i
\(53\) −1.22682 3.77578i −0.168517 0.518643i 0.830761 0.556629i \(-0.187906\pi\)
−0.999278 + 0.0379864i \(0.987906\pi\)
\(54\) 13.8256 + 1.13910i 1.88143 + 0.155011i
\(55\) 3.22028 + 8.85093i 0.434222 + 1.19346i
\(56\) 0.757388 + 0.841165i 0.101210 + 0.112405i
\(57\) 0.230013 0.440536i 0.0304659 0.0583504i
\(58\) 10.8834 2.31335i 1.42907 0.303757i
\(59\) 2.28974 + 1.01946i 0.298098 + 0.132722i 0.550336 0.834943i \(-0.314500\pi\)
−0.252237 + 0.967665i \(0.581166\pi\)
\(60\) 11.2264 + 16.3816i 1.44933 + 2.11485i
\(61\) −0.993544 + 0.442354i −0.127210 + 0.0566377i −0.469355 0.883010i \(-0.655513\pi\)
0.342144 + 0.939647i \(0.388847\pi\)
\(62\) 20.9214 15.2003i 2.65702 1.93044i
\(63\) 0.307568 0.266049i 0.0387500 0.0335190i
\(64\) −13.8646 10.0733i −1.73308 1.25916i
\(65\) −1.59535 + 2.99954i −0.197878 + 0.372048i
\(66\) −15.2580 + 12.1064i −1.87813 + 1.49019i
\(67\) −8.73827 + 1.85738i −1.06755 + 0.226915i −0.708001 0.706212i \(-0.750403\pi\)
−0.359548 + 0.933126i \(0.617069\pi\)
\(68\) −12.3662 21.4189i −1.49963 2.59743i
\(69\) 2.58841 9.28941i 0.311607 1.11831i
\(70\) 0.796930 + 0.140618i 0.0952514 + 0.0168071i
\(71\) −0.994371 3.06036i −0.118010 0.363198i 0.874553 0.484930i \(-0.161155\pi\)
−0.992563 + 0.121732i \(0.961155\pi\)
\(72\) −15.1243 + 19.9690i −1.78242 + 2.35336i
\(73\) −2.15376 1.56480i −0.252079 0.183146i 0.454569 0.890712i \(-0.349793\pi\)
−0.706647 + 0.707566i \(0.749793\pi\)
\(74\) 13.4364 23.2726i 1.56195 2.70539i
\(75\) 8.25562 + 2.61625i 0.953277 + 0.302098i
\(76\) 0.735621 + 1.27413i 0.0843816 + 0.146153i
\(77\) −0.0596835 + 0.567851i −0.00680157 + 0.0647126i
\(78\) −6.92803 1.16806i −0.784445 0.132256i
\(79\) −3.63910 0.773514i −0.409431 0.0870272i −0.00140804 0.999999i \(-0.500448\pi\)
−0.408023 + 0.912972i \(0.633782\pi\)
\(80\) −26.8999 + 0.936151i −3.00750 + 0.104665i
\(81\) 7.06494 + 5.57554i 0.784993 + 0.619504i
\(82\) 18.2349 2.01370
\(83\) −0.682979 0.758525i −0.0749667 0.0832589i 0.704495 0.709709i \(-0.251174\pi\)
−0.779461 + 0.626450i \(0.784507\pi\)
\(84\) 0.176496 + 1.19091i 0.0192573 + 0.129939i
\(85\) −9.99956 4.04147i −1.08460 0.438359i
\(86\) −1.24082 + 11.8056i −0.133801 + 1.27303i
\(87\) 6.71303 + 2.65381i 0.719712 + 0.284518i
\(88\) −3.67638 34.9785i −0.391904 3.72872i
\(89\) 5.75217 + 4.17920i 0.609729 + 0.442994i 0.849319 0.527880i \(-0.177013\pi\)
−0.239590 + 0.970874i \(0.577013\pi\)
\(90\) 0.266675 + 17.9073i 0.0281100 + 1.88760i
\(91\) −0.166625 + 0.121060i −0.0174671 + 0.0126906i
\(92\) 19.1026 + 21.2155i 1.99158 + 2.21187i
\(93\) 16.7622 0.711339i 1.73816 0.0737624i
\(94\) −18.2014 + 3.86883i −1.87733 + 0.399040i
\(95\) 0.594837 + 0.240412i 0.0610290 + 0.0246658i
\(96\) −9.33293 25.0553i −0.952538 2.55720i
\(97\) −2.06543 0.439021i −0.209713 0.0445758i 0.101857 0.994799i \(-0.467522\pi\)
−0.311570 + 0.950223i \(0.600855\pi\)
\(98\) −15.0795 10.9559i −1.52326 1.10671i
\(99\) −12.5909 + 1.07057i −1.26543 + 0.107596i
\(100\) −19.6439 + 16.4752i −1.96439 + 1.64752i
\(101\) 5.35748 9.27942i 0.533089 0.923337i −0.466164 0.884698i \(-0.654364\pi\)
0.999253 0.0386390i \(-0.0123022\pi\)
\(102\) 1.38882 22.2608i 0.137514 2.20415i
\(103\) 7.81798 8.68274i 0.770328 0.855536i −0.222519 0.974928i \(-0.571428\pi\)
0.992847 + 0.119392i \(0.0380946\pi\)
\(104\) 8.48909 9.42809i 0.832423 0.924500i
\(105\) 0.380343 + 0.361902i 0.0371176 + 0.0353180i
\(106\) 7.09224 + 7.87673i 0.688859 + 0.765056i
\(107\) −16.9444 −1.63808 −0.819040 0.573736i \(-0.805494\pi\)
−0.819040 + 0.573736i \(0.805494\pi\)
\(108\) −25.1481 + 8.80183i −2.41988 + 0.846956i
\(109\) 12.8760 9.35498i 1.23330 0.896045i 0.236167 0.971713i \(-0.424109\pi\)
0.997133 + 0.0756679i \(0.0241089\pi\)
\(110\) −17.4652 18.0901i −1.66524 1.72482i
\(111\) 15.6120 7.76005i 1.48182 0.736551i
\(112\) −1.49066 0.663686i −0.140854 0.0627124i
\(113\) 5.23305 + 2.32990i 0.492284 + 0.219179i 0.637837 0.770172i \(-0.279829\pi\)
−0.145553 + 0.989350i \(0.546496\pi\)
\(114\) −0.0826160 + 1.32421i −0.00773770 + 0.124024i
\(115\) 12.2600 + 2.16328i 1.14325 + 0.201727i
\(116\) −17.2887 + 12.5610i −1.60522 + 1.16626i
\(117\) −3.32598 3.11675i −0.307487 0.288144i
\(118\) −6.69157 −0.616009
\(119\) −0.437504 0.485898i −0.0401060 0.0445422i
\(120\) −27.5512 16.9343i −2.51507 1.54588i
\(121\) 4.51116 5.01015i 0.410106 0.455468i
\(122\) 1.94285 2.15776i 0.175898 0.195354i
\(123\) 9.85702 + 6.54155i 0.888778 + 0.589832i
\(124\) −24.8340 + 43.0138i −2.23016 + 3.86275i
\(125\) −2.32844 + 10.9352i −0.208262 + 0.978073i
\(126\) −0.461244 + 0.982865i −0.0410909 + 0.0875605i
\(127\) 8.56598 + 6.22355i 0.760108 + 0.552251i 0.898944 0.438065i \(-0.144336\pi\)
−0.138835 + 0.990315i \(0.544336\pi\)
\(128\) 14.5549 + 3.09374i 1.28648 + 0.273451i
\(129\) −4.90586 + 5.93649i −0.431937 + 0.522679i
\(130\) 0.633790 9.04810i 0.0555871 0.793571i
\(131\) −14.0896 + 2.99484i −1.23102 + 0.261661i −0.777096 0.629382i \(-0.783308\pi\)
−0.453920 + 0.891042i \(0.649975\pi\)
\(132\) 17.3141 33.1611i 1.50700 2.88630i
\(133\) 0.0260255 + 0.0289043i 0.00225670 + 0.00250632i
\(134\) 19.2953 14.0188i 1.66686 1.21104i
\(135\) −6.27989 + 9.77563i −0.540487 + 0.841352i
\(136\) 32.5833 + 23.6732i 2.79400 + 2.02996i
\(137\) −0.657469 6.25540i −0.0561714 0.534435i −0.986036 0.166533i \(-0.946743\pi\)
0.929865 0.367902i \(-0.119924\pi\)
\(138\) 3.77429 + 25.4671i 0.321289 + 2.16790i
\(139\) 1.27730 12.1527i 0.108339 1.03078i −0.796387 0.604787i \(-0.793258\pi\)
0.904726 0.425993i \(-0.140075\pi\)
\(140\) −1.50813 + 0.375828i −0.127460 + 0.0317633i
\(141\) −11.2268 4.43822i −0.945471 0.373766i
\(142\) 5.74843 + 6.38428i 0.482398 + 0.535757i
\(143\) 6.39974 0.535173
\(144\) 8.20934 35.1664i 0.684112 2.93053i
\(145\) −2.56976 + 8.95780i −0.213407 + 0.743905i
\(146\) 6.95211 + 1.47772i 0.575360 + 0.122297i
\(147\) −4.22105 11.3319i −0.348147 0.934639i
\(148\) −5.39502 + 51.3302i −0.443468 + 4.21931i
\(149\) 1.29104 + 2.23615i 0.105766 + 0.183193i 0.914051 0.405599i \(-0.132937\pi\)
−0.808285 + 0.588792i \(0.799604\pi\)
\(150\) −22.9760 + 2.58380i −1.87598 + 0.210967i
\(151\) −0.949443 + 1.64448i −0.0772646 + 0.133826i −0.902069 0.431592i \(-0.857952\pi\)
0.824804 + 0.565418i \(0.191285\pi\)
\(152\) −1.93826 1.40823i −0.157214 0.114223i
\(153\) 8.73654 11.5350i 0.706308 0.932553i
\(154\) −0.471058 1.44977i −0.0379590 0.116826i
\(155\) 3.01184 + 21.4489i 0.241917 + 1.72282i
\(156\) 13.0683 3.36266i 1.04630 0.269228i
\(157\) −4.79460 8.30449i −0.382651 0.662771i 0.608789 0.793332i \(-0.291655\pi\)
−0.991440 + 0.130561i \(0.958322\pi\)
\(158\) 9.71552 2.06510i 0.772926 0.164290i
\(159\) 1.00809 + 6.80210i 0.0799465 + 0.539442i
\(160\) 31.0259 15.1278i 2.45281 1.19595i
\(161\) 0.610580 + 0.443612i 0.0481205 + 0.0349616i
\(162\) −23.2854 5.92671i −1.82948 0.465646i
\(163\) −2.81593 + 2.04590i −0.220561 + 0.160247i −0.692579 0.721342i \(-0.743526\pi\)
0.472018 + 0.881589i \(0.343526\pi\)
\(164\) −31.9946 + 14.2449i −2.49836 + 1.11234i
\(165\) −2.95137 16.0442i −0.229764 1.24904i
\(166\) 2.48943 + 1.10836i 0.193217 + 0.0860257i
\(167\) 3.16977 0.673754i 0.245284 0.0521367i −0.0836291 0.996497i \(-0.526651\pi\)
0.328913 + 0.944360i \(0.393318\pi\)
\(168\) −1.05136 1.65476i −0.0811141 0.127668i
\(169\) −7.15402 7.94535i −0.550310 0.611181i
\(170\) 28.7770 1.00148i 2.20709 0.0768097i
\(171\) −0.519705 + 0.686177i −0.0397428 + 0.0524733i
\(172\) −7.04530 21.6832i −0.537199 1.65333i
\(173\) 8.06575 3.59110i 0.613228 0.273026i −0.0765296 0.997067i \(-0.524384\pi\)
0.689757 + 0.724041i \(0.257717\pi\)
\(174\) −19.2545 + 0.817105i −1.45968 + 0.0619446i
\(175\) −0.417412 + 0.534001i −0.0315534 + 0.0403666i
\(176\) 25.3512 + 43.9095i 1.91092 + 3.30980i
\(177\) −3.61719 2.40052i −0.271885 0.180434i
\(178\) −18.5674 3.94662i −1.39169 0.295812i
\(179\) −2.38835 7.35058i −0.178513 0.549408i 0.821263 0.570550i \(-0.193270\pi\)
−0.999776 + 0.0211418i \(0.993270\pi\)
\(180\) −14.4569 31.2116i −1.07756 2.32637i
\(181\) 5.40260 16.6275i 0.401572 1.23591i −0.522152 0.852852i \(-0.674871\pi\)
0.923724 0.383059i \(-0.125129\pi\)
\(182\) 0.274932 0.476197i 0.0203793 0.0352981i
\(183\) 1.82430 0.469419i 0.134856 0.0347005i
\(184\) −42.4700 18.9088i −3.13093 1.39398i
\(185\) 11.9249 + 19.0888i 0.876734 + 1.40344i
\(186\) −40.1097 + 19.9368i −2.94098 + 1.46184i
\(187\) 2.12366 + 20.2053i 0.155297 + 1.47755i
\(188\) 28.9136 21.0070i 2.10874 1.53209i
\(189\) −0.601921 + 0.365830i −0.0437833 + 0.0266102i
\(190\) −1.71184 + 0.0595741i −0.124190 + 0.00432196i
\(191\) 1.35520 + 12.8939i 0.0980588 + 0.932967i 0.927361 + 0.374167i \(0.122071\pi\)
−0.829302 + 0.558800i \(0.811262\pi\)
\(192\) 20.7794 + 21.1970i 1.49962 + 1.52976i
\(193\) −5.50484 9.53467i −0.396247 0.686321i 0.597012 0.802232i \(-0.296354\pi\)
−0.993260 + 0.115912i \(0.963021\pi\)
\(194\) 5.51421 1.17208i 0.395897 0.0841505i
\(195\) 3.58850 4.66367i 0.256978 0.333972i
\(196\) 35.0169 + 7.44306i 2.50120 + 0.531647i
\(197\) −2.44849 7.53567i −0.174447 0.536894i 0.825160 0.564899i \(-0.191085\pi\)
−0.999608 + 0.0280045i \(0.991085\pi\)
\(198\) 29.5460 16.2834i 2.09974 1.15721i
\(199\) 16.8130 1.19184 0.595919 0.803044i \(-0.296788\pi\)
0.595919 + 0.803044i \(0.296788\pi\)
\(200\) 18.3110 37.5203i 1.29478 2.65309i
\(201\) 15.4593 0.656050i 1.09042 0.0462742i
\(202\) −2.99018 + 28.4497i −0.210388 + 2.00171i
\(203\) −0.378025 + 0.419840i −0.0265322 + 0.0294670i
\(204\) 14.9531 + 40.1433i 1.04693 + 2.81060i
\(205\) −7.17170 + 13.4841i −0.500893 + 0.941772i
\(206\) −9.63914 + 29.6662i −0.671591 + 2.06694i
\(207\) −7.09581 + 15.1205i −0.493193 + 1.05094i
\(208\) −5.65163 + 17.3939i −0.391870 + 1.20605i
\(209\) −0.126329 1.20194i −0.00873833 0.0831397i
\(210\) −1.32062 0.469651i −0.0911316 0.0324090i
\(211\) 0.579817 5.51659i 0.0399163 0.379778i −0.956267 0.292494i \(-0.905515\pi\)
0.996184 0.0872836i \(-0.0278186\pi\)
\(212\) −18.5972 8.27999i −1.27726 0.568672i
\(213\) 0.817079 + 5.51327i 0.0559853 + 0.377763i
\(214\) 41.3266 18.3998i 2.82503 1.25778i
\(215\) −8.24186 5.56064i −0.562090 0.379232i
\(216\) 31.5817 29.7508i 2.14887 2.02428i
\(217\) −0.405755 + 1.24878i −0.0275444 + 0.0847730i
\(218\) −21.2455 + 36.7983i −1.43893 + 2.49229i
\(219\) 3.22791 + 3.29278i 0.218122 + 0.222506i
\(220\) 44.7760 + 18.0969i 3.01880 + 1.22009i
\(221\) −4.90371 + 5.44612i −0.329859 + 0.366346i
\(222\) −29.6502 + 35.8792i −1.98999 + 2.40806i
\(223\) −0.394418 + 0.175606i −0.0264122 + 0.0117595i −0.419900 0.907570i \(-0.637935\pi\)
0.393488 + 0.919330i \(0.371268\pi\)
\(224\) 2.09254 0.139814
\(225\) −13.3468 6.84568i −0.889786 0.456378i
\(226\) −15.2932 −1.01729
\(227\) 3.42683 1.52572i 0.227447 0.101266i −0.289849 0.957072i \(-0.593605\pi\)
0.517296 + 0.855806i \(0.326939\pi\)
\(228\) −0.889506 2.38798i −0.0589089 0.158148i
\(229\) −8.37065 + 9.29655i −0.553148 + 0.614333i −0.953267 0.302130i \(-0.902302\pi\)
0.400119 + 0.916463i \(0.368969\pi\)
\(230\) −32.2507 + 8.03691i −2.12655 + 0.529938i
\(231\) 0.265453 0.952672i 0.0174655 0.0626812i
\(232\) 17.3999 30.1375i 1.14236 1.97862i
\(233\) −3.16431 + 9.73874i −0.207301 + 0.638006i 0.792310 + 0.610118i \(0.208878\pi\)
−0.999611 + 0.0278877i \(0.991122\pi\)
\(234\) 11.4963 + 3.98995i 0.751540 + 0.260831i
\(235\) 4.29766 14.9810i 0.280349 0.977252i
\(236\) 11.7409 5.22739i 0.764269 0.340274i
\(237\) 5.99265 + 2.36903i 0.389264 + 0.153885i
\(238\) 1.59468 + 0.709998i 0.103368 + 0.0460223i
\(239\) 3.03062 28.8345i 0.196035 1.86515i −0.247499 0.968888i \(-0.579609\pi\)
0.443534 0.896258i \(-0.353725\pi\)
\(240\) 46.2132 + 6.14714i 2.98305 + 0.396796i
\(241\) −1.07447 10.2229i −0.0692130 0.658517i −0.973043 0.230625i \(-0.925923\pi\)
0.903830 0.427892i \(-0.140744\pi\)
\(242\) −5.56202 + 17.1181i −0.357540 + 1.10040i
\(243\) −10.4610 11.5571i −0.671075 0.741390i
\(244\) −1.72328 + 5.30371i −0.110322 + 0.339535i
\(245\) 14.0322 6.84191i 0.896487 0.437113i
\(246\) −31.1442 5.25087i −1.98568 0.334783i
\(247\) 0.291704 0.323970i 0.0185607 0.0206137i
\(248\) 8.45439 80.4382i 0.536854 5.10783i
\(249\) 0.948069 + 1.49219i 0.0600814 + 0.0945636i
\(250\) −6.19547 29.1988i −0.391836 1.84669i
\(251\) −21.4617 −1.35465 −0.677325 0.735684i \(-0.736861\pi\)
−0.677325 + 0.735684i \(0.736861\pi\)
\(252\) 0.0414862 2.08484i 0.00261339 0.131332i
\(253\) −7.24680 22.3033i −0.455602 1.40220i
\(254\) −27.6501 5.87721i −1.73492 0.368769i
\(255\) 15.9149 + 9.78206i 0.996632 + 0.612577i
\(256\) −5.33185 + 1.13332i −0.333240 + 0.0708325i
\(257\) −2.60345 4.50931i −0.162399 0.281283i 0.773330 0.634004i \(-0.218590\pi\)
−0.935729 + 0.352721i \(0.885256\pi\)
\(258\) 5.51876 19.8060i 0.343583 1.23307i
\(259\) 0.142625 + 1.35699i 0.00886231 + 0.0843193i
\(260\) 5.95626 + 16.3708i 0.369391 + 1.01527i
\(261\) −10.7013 6.46563i −0.662395 0.400213i
\(262\) 31.1118 22.6040i 1.92209 1.39648i
\(263\) 1.03927 + 9.88798i 0.0640841 + 0.609719i 0.978686 + 0.205363i \(0.0658376\pi\)
−0.914602 + 0.404356i \(0.867496\pi\)
\(264\) −3.79324 + 60.8000i −0.233458 + 3.74198i
\(265\) −8.61395 + 2.14661i −0.529150 + 0.131865i
\(266\) −0.0948618 0.0422352i −0.00581635 0.00258960i
\(267\) −8.62097 8.79423i −0.527595 0.538198i
\(268\) −22.9038 + 39.6705i −1.39907 + 2.42326i
\(269\) −9.33714 + 28.7368i −0.569295 + 1.75211i 0.0855346 + 0.996335i \(0.472740\pi\)
−0.654830 + 0.755776i \(0.727260\pi\)
\(270\) 4.70108 30.6615i 0.286099 1.86600i
\(271\) −2.74971 8.46274i −0.167033 0.514075i 0.832147 0.554555i \(-0.187111\pi\)
−0.999180 + 0.0404798i \(0.987111\pi\)
\(272\) −56.7916 12.0714i −3.44350 0.731938i
\(273\) 0.319447 0.158784i 0.0193338 0.00961003i
\(274\) 8.39621 + 14.5427i 0.507233 + 0.878554i
\(275\) 20.2461 5.80023i 1.22088 0.349767i
\(276\) −26.5170 41.7357i −1.59613 2.51220i
\(277\) −7.47005 + 3.32588i −0.448832 + 0.199833i −0.618689 0.785636i \(-0.712336\pi\)
0.169858 + 0.985469i \(0.445669\pi\)
\(278\) 10.0812 + 31.0269i 0.604633 + 1.86087i
\(279\) −28.8337 3.61186i −1.72623 0.216237i
\(280\) 1.99464 1.55800i 0.119203 0.0931085i
\(281\) −17.0445 18.9299i −1.01679 1.12926i −0.991569 0.129581i \(-0.958637\pi\)
−0.0252237 0.999682i \(-0.508030\pi\)
\(282\) 32.2011 1.36652i 1.91755 0.0813753i
\(283\) −10.4407 + 2.21925i −0.620637 + 0.131920i −0.507490 0.861658i \(-0.669426\pi\)
−0.113147 + 0.993578i \(0.536093\pi\)
\(284\) −15.0734 6.71113i −0.894445 0.398232i
\(285\) −0.946721 0.581899i −0.0560789 0.0344687i
\(286\) −15.6086 + 6.94941i −0.922957 + 0.410927i
\(287\) −0.749046 + 0.544214i −0.0442148 + 0.0321239i
\(288\) 8.72528 + 45.4806i 0.514142 + 2.67997i
\(289\) −5.06843 3.68243i −0.298143 0.216614i
\(290\) −3.45966 24.6381i −0.203158 1.44680i
\(291\) 3.40123 + 1.34458i 0.199383 + 0.0788207i
\(292\) −13.3524 + 2.83815i −0.781392 + 0.166090i
\(293\) 9.74076 + 16.8715i 0.569061 + 0.985643i 0.996659 + 0.0816741i \(0.0260267\pi\)
−0.427598 + 0.903969i \(0.640640\pi\)
\(294\) 22.6001 + 23.0543i 1.31807 + 1.34456i
\(295\) 2.63177 4.94821i 0.153227 0.288096i
\(296\) −25.9724 79.9347i −1.50961 4.64611i
\(297\) 21.8128 + 1.79716i 1.26571 + 0.104282i
\(298\) −5.57701 4.05193i −0.323067 0.234722i
\(299\) 4.22958 7.32585i 0.244603 0.423665i
\(300\) 38.2948 22.4821i 2.21095 1.29801i
\(301\) −0.301364 0.521978i −0.0173703 0.0300863i
\(302\) 0.529915 5.04180i 0.0304932 0.290123i
\(303\) −11.8224 + 14.3060i −0.679177 + 0.821860i
\(304\) 3.37832 + 0.718085i 0.193760 + 0.0411850i
\(305\) 0.831479 + 2.28532i 0.0476103 + 0.130857i
\(306\) −8.78219 + 37.6203i −0.502045 + 2.15061i
\(307\) −4.81680 −0.274909 −0.137455 0.990508i \(-0.543892\pi\)
−0.137455 + 0.990508i \(0.543892\pi\)
\(308\) 1.95906 + 2.17575i 0.111628 + 0.123975i
\(309\) −15.8529 + 12.5784i −0.901842 + 0.715561i
\(310\) −30.6369 49.0423i −1.74006 2.78542i
\(311\) −0.259321 + 2.46728i −0.0147048 + 0.139907i −0.999411 0.0343163i \(-0.989075\pi\)
0.984706 + 0.174223i \(0.0557413\pi\)
\(312\) −17.2138 + 13.6582i −0.974539 + 0.773242i
\(313\) 1.23582 + 11.7580i 0.0698524 + 0.664601i 0.972290 + 0.233780i \(0.0751095\pi\)
−0.902437 + 0.430822i \(0.858224\pi\)
\(314\) 20.7115 + 15.0478i 1.16882 + 0.849198i
\(315\) −0.545392 0.727632i −0.0307294 0.0409974i
\(316\) −15.4335 + 11.2131i −0.868200 + 0.630784i
\(317\) 19.4738 + 21.6279i 1.09376 + 1.21474i 0.975090 + 0.221809i \(0.0711963\pi\)
0.118670 + 0.992934i \(0.462137\pi\)
\(318\) −9.84500 15.4953i −0.552080 0.868933i
\(319\) 17.1709 3.64979i 0.961386 0.204349i
\(320\) −24.6357 + 29.3526i −1.37718 + 1.64086i
\(321\) 28.9402 + 4.87928i 1.61528 + 0.272335i
\(322\) −1.97089 0.418925i −0.109833 0.0233458i
\(323\) 1.11964 + 0.813463i 0.0622982 + 0.0452623i
\(324\) 45.4861 7.79147i 2.52701 0.432859i
\(325\) 6.44152 + 4.02725i 0.357311 + 0.223392i
\(326\) 4.64630 8.04763i 0.257335 0.445717i
\(327\) −24.6854 + 12.2701i −1.36511 + 0.678536i
\(328\) 38.1618 42.3829i 2.10713 2.34021i
\(329\) 0.632208 0.702138i 0.0348548 0.0387101i
\(330\) 24.6205 + 35.9261i 1.35531 + 1.97767i
\(331\) 6.75763 + 7.50511i 0.371433 + 0.412518i 0.899664 0.436583i \(-0.143811\pi\)
−0.528231 + 0.849100i \(0.677145\pi\)
\(332\) −5.23375 −0.287239
\(333\) −28.8990 + 8.75816i −1.58365 + 0.479944i
\(334\) −6.99927 + 5.08527i −0.382983 + 0.278254i
\(335\) 2.77774 + 19.7818i 0.151764 + 1.08080i
\(336\) 2.35486 + 1.56279i 0.128468 + 0.0852571i
\(337\) 11.0106 + 4.90222i 0.599784 + 0.267041i 0.684088 0.729399i \(-0.260200\pi\)
−0.0843046 + 0.996440i \(0.526867\pi\)
\(338\) 26.0761 + 11.6098i 1.41835 + 0.631491i
\(339\) −8.26685 5.48624i −0.448994 0.297972i
\(340\) −49.7093 + 24.2375i −2.69587 + 1.31446i
\(341\) 33.0079 23.9816i 1.78748 1.29868i
\(342\) 0.522420 2.23789i 0.0282493 0.121011i
\(343\) 1.89530 0.102337
\(344\) 24.8427 + 27.5906i 1.33943 + 1.48759i
\(345\) −20.3166 7.22514i −1.09381 0.388989i
\(346\) −15.7724 + 17.5170i −0.847930 + 0.941721i
\(347\) 7.31074 8.11940i 0.392461 0.435872i −0.514240 0.857646i \(-0.671926\pi\)
0.906701 + 0.421774i \(0.138593\pi\)
\(348\) 33.1453 16.4751i 1.77677 0.883158i
\(349\) −6.04219 + 10.4654i −0.323431 + 0.560199i −0.981194 0.193026i \(-0.938170\pi\)
0.657763 + 0.753225i \(0.271503\pi\)
\(350\) 0.438181 1.75566i 0.0234218 0.0938442i
\(351\) 4.78310 + 6.28099i 0.255303 + 0.335254i
\(352\) −52.6030 38.2183i −2.80375 2.03704i
\(353\) −5.22268 1.11012i −0.277975 0.0590855i 0.0668144 0.997765i \(-0.478716\pi\)
−0.344790 + 0.938680i \(0.612050\pi\)
\(354\) 11.4288 + 1.92689i 0.607436 + 0.102413i
\(355\) −6.98181 + 1.73988i −0.370556 + 0.0923430i
\(356\) 35.6611 7.58001i 1.89004 0.401740i
\(357\) 0.607316 + 0.955870i 0.0321426 + 0.0505900i
\(358\) 13.8070 + 15.3342i 0.729721 + 0.810437i
\(359\) −10.7786 + 7.83115i −0.568875 + 0.413312i −0.834697 0.550710i \(-0.814357\pi\)
0.265821 + 0.964022i \(0.414357\pi\)
\(360\) 42.1797 + 36.8564i 2.22307 + 1.94250i
\(361\) 15.3047 + 11.1195i 0.805512 + 0.585238i
\(362\) 4.87896 + 46.4202i 0.256432 + 2.43979i
\(363\) −9.14753 + 7.25805i −0.480121 + 0.380949i
\(364\) −0.110391 + 1.05030i −0.00578607 + 0.0550508i
\(365\) −3.82696 + 4.55969i −0.200312 + 0.238665i
\(366\) −3.93963 + 3.12588i −0.205928 + 0.163392i
\(367\) −20.1860 22.4188i −1.05370 1.17025i −0.984989 0.172617i \(-0.944778\pi\)
−0.0687125 0.997637i \(-0.521889\pi\)
\(368\) 67.0183 3.49357
\(369\) −14.9516 14.0110i −0.778348 0.729385i
\(370\) −49.8125 33.6076i −2.58963 1.74718i
\(371\) −0.526411 0.111892i −0.0273299 0.00580915i
\(372\) 54.8013 66.3141i 2.84131 3.43822i
\(373\) 2.31816 22.0558i 0.120030 1.14201i −0.754250 0.656587i \(-0.771999\pi\)
0.874280 0.485422i \(-0.161334\pi\)
\(374\) −27.1202 46.9735i −1.40235 2.42894i
\(375\) 7.12572 18.0062i 0.367970 0.929837i
\(376\) −29.0995 + 50.4019i −1.50069 + 2.59928i
\(377\) 5.12283 + 3.72195i 0.263839 + 0.191690i
\(378\) 1.07080 1.54586i 0.0550762 0.0795105i
\(379\) 0.203894 + 0.627522i 0.0104734 + 0.0322337i 0.956157 0.292856i \(-0.0946056\pi\)
−0.945683 + 0.325089i \(0.894606\pi\)
\(380\) 2.95702 1.44180i 0.151692 0.0739628i
\(381\) −12.8381 13.0961i −0.657717 0.670935i
\(382\) −17.3066 29.9759i −0.885482 1.53370i
\(383\) −34.2266 + 7.27509i −1.74890 + 0.371740i −0.967614 0.252435i \(-0.918769\pi\)
−0.781285 + 0.624175i \(0.785435\pi\)
\(384\) −23.9681 9.47514i −1.22312 0.483526i
\(385\) 1.25732 + 0.221855i 0.0640791 + 0.0113068i
\(386\) 23.7796 + 17.2769i 1.21035 + 0.879372i
\(387\) 10.0884 8.72653i 0.512822 0.443595i
\(388\) −8.75952 + 6.36416i −0.444697 + 0.323091i
\(389\) 14.9067 6.63687i 0.755797 0.336503i 0.00759323 0.999971i \(-0.497583\pi\)
0.748204 + 0.663468i \(0.230916\pi\)
\(390\) −3.68795 + 15.2712i −0.186746 + 0.773286i
\(391\) 24.5327 + 10.9227i 1.24067 + 0.552383i
\(392\) −57.0227 + 12.1206i −2.88008 + 0.612181i
\(393\) 24.9267 1.05782i 1.25739 0.0533599i
\(394\) 14.1546 + 15.7203i 0.713100 + 0.791978i
\(395\) −2.29400 + 7.99652i −0.115424 + 0.402349i
\(396\) −39.1205 + 51.6516i −1.96588 + 2.59559i
\(397\) 9.36909 + 28.8351i 0.470221 + 1.44719i 0.852295 + 0.523061i \(0.175210\pi\)
−0.382074 + 0.924132i \(0.624790\pi\)
\(398\) −41.0059 + 18.2570i −2.05544 + 0.915142i
\(399\) −0.0361270 0.0568612i −0.00180861 0.00284662i
\(400\) −2.11484 + 60.1493i −0.105742 + 3.00747i
\(401\) 10.2811 + 17.8074i 0.513413 + 0.889258i 0.999879 + 0.0155583i \(0.00495256\pi\)
−0.486466 + 0.873700i \(0.661714\pi\)
\(402\) −36.9921 + 18.3872i −1.84500 + 0.917070i
\(403\) 14.3955 + 3.05987i 0.717093 + 0.152423i
\(404\) −16.9781 52.2532i −0.844692 2.59969i
\(405\) 13.5407 14.8879i 0.672842 0.739786i
\(406\) 0.466085 1.43446i 0.0231314 0.0711911i
\(407\) 21.1988 36.7174i 1.05078 1.82001i
\(408\) −48.8337 49.8152i −2.41763 2.46622i
\(409\) 33.2039 + 14.7833i 1.64183 + 0.730989i 0.999375 0.0353363i \(-0.0112502\pi\)
0.642453 + 0.766325i \(0.277917\pi\)
\(410\) 2.84913 40.6747i 0.140709 2.00878i
\(411\) −0.678367 + 10.8732i −0.0334614 + 0.536336i
\(412\) −6.26231 59.5819i −0.308522 2.93539i
\(413\) 0.274874 0.199708i 0.0135257 0.00982697i
\(414\) 0.887164 44.5833i 0.0436017 2.19115i
\(415\) −1.79868 + 1.40494i −0.0882938 + 0.0689657i
\(416\) −2.45161 23.3255i −0.120200 1.14363i
\(417\) −5.68103 + 20.3884i −0.278201 + 0.998424i
\(418\) 1.61328 + 2.79428i 0.0789081 + 0.136673i
\(419\) −8.65750 + 1.84021i −0.422947 + 0.0899001i −0.414468 0.910064i \(-0.636032\pi\)
−0.00847886 + 0.999964i \(0.502699\pi\)
\(420\) 2.68403 0.207617i 0.130967 0.0101307i
\(421\) −17.0085 3.61527i −0.828944 0.176197i −0.226148 0.974093i \(-0.572613\pi\)
−0.602796 + 0.797896i \(0.705947\pi\)
\(422\) 4.57627 + 14.0843i 0.222769 + 0.685613i
\(423\) 17.8968 + 10.8131i 0.870174 + 0.525751i
\(424\) 33.1503 1.60992
\(425\) −10.5773 + 21.6736i −0.513075 + 1.05132i
\(426\) −7.97961 12.5593i −0.386614 0.608501i
\(427\) −0.0154103 + 0.146620i −0.000745759 + 0.00709542i
\(428\) −58.1372 + 64.5680i −2.81017 + 3.12101i
\(429\) −10.9304 1.84285i −0.527725 0.0889737i
\(430\) 26.1397 + 4.61235i 1.26057 + 0.222427i
\(431\) 7.00874 21.5707i 0.337599 1.03902i −0.627829 0.778352i \(-0.716056\pi\)
0.965428 0.260671i \(-0.0839439\pi\)
\(432\) −24.1475 + 57.6984i −1.16180 + 2.77601i
\(433\) 3.84650 11.8383i 0.184851 0.568912i −0.815095 0.579327i \(-0.803315\pi\)
0.999946 + 0.0104152i \(0.00331531\pi\)
\(434\) −0.366428 3.48633i −0.0175891 0.167349i
\(435\) 6.96848 14.5595i 0.334113 0.698072i
\(436\) 8.53051 81.1624i 0.408537 3.88697i
\(437\) −1.45936 0.649749i −0.0698107 0.0310817i
\(438\) −11.4483 4.52577i −0.547021 0.216250i
\(439\) 19.6180 8.73448i 0.936314 0.416874i 0.118888 0.992908i \(-0.462067\pi\)
0.817426 + 0.576034i \(0.195400\pi\)
\(440\) −78.5975 + 2.73529i −3.74699 + 0.130400i
\(441\) 3.94623 + 20.5698i 0.187916 + 0.979512i
\(442\) 6.04601 18.6077i 0.287579 0.885078i
\(443\) 17.1128 29.6402i 0.813053 1.40825i −0.0976653 0.995219i \(-0.531137\pi\)
0.910718 0.413029i \(-0.135529\pi\)
\(444\) 23.9953 86.1156i 1.13877 4.08687i
\(445\) 10.2209 12.1778i 0.484517 0.577284i
\(446\) 0.771277 0.856590i 0.0365210 0.0405607i
\(447\) −1.56112 4.19100i −0.0738383 0.198227i
\(448\) −2.12228 + 0.944898i −0.100268 + 0.0446422i
\(449\) −14.0727 −0.664132 −0.332066 0.943256i \(-0.607746\pi\)
−0.332066 + 0.943256i \(0.607746\pi\)
\(450\) 39.9858 + 2.20311i 1.88495 + 0.103856i
\(451\) 28.7693 1.35469
\(452\) 26.8331 11.9469i 1.26212 0.561933i
\(453\) 2.09514 2.53529i 0.0984382 0.119118i
\(454\) −6.70110 + 7.44233i −0.314498 + 0.349286i
\(455\) 0.244003 + 0.390590i 0.0114390 + 0.0183112i
\(456\) 2.90494 + 2.96332i 0.136036 + 0.138770i
\(457\) 3.44104 5.96005i 0.160965 0.278799i −0.774250 0.632880i \(-0.781873\pi\)
0.935215 + 0.354080i \(0.115206\pi\)
\(458\) 10.3206 31.7634i 0.482248 1.48421i
\(459\) −18.2431 + 17.1855i −0.851517 + 0.802149i
\(460\) 50.3082 39.2954i 2.34563 1.83216i
\(461\) −11.1884 + 4.98140i −0.521096 + 0.232007i −0.650392 0.759599i \(-0.725395\pi\)
0.129295 + 0.991606i \(0.458728\pi\)
\(462\) 0.387071 + 2.61177i 0.0180082 + 0.121511i
\(463\) −27.3439 12.1743i −1.27078 0.565788i −0.343148 0.939281i \(-0.611493\pi\)
−0.927633 + 0.373493i \(0.878160\pi\)
\(464\) −5.24388 + 49.8922i −0.243441 + 2.31619i
\(465\) 1.03232 37.5009i 0.0478726 1.73906i
\(466\) −2.85761 27.1884i −0.132376 1.25948i
\(467\) 10.7168 32.9830i 0.495915 1.52627i −0.319611 0.947549i \(-0.603552\pi\)
0.815526 0.578720i \(-0.196448\pi\)
\(468\) −23.2882 + 1.98014i −1.07650 + 0.0915318i
\(469\) −0.374217 + 1.15172i −0.0172797 + 0.0531816i
\(470\) 5.78592 + 41.2046i 0.266885 + 1.90063i
\(471\) 5.79758 + 15.5643i 0.267138 + 0.717164i
\(472\) −14.0040 + 15.5531i −0.644589 + 0.715888i
\(473\) −1.95765 + 18.6258i −0.0900128 + 0.856415i
\(474\) −17.1883 + 0.729420i −0.789483 + 0.0335034i
\(475\) 0.629205 1.28928i 0.0288699 0.0591563i
\(476\) −3.35265 −0.153668
\(477\) 0.236956 11.9079i 0.0108494 0.545226i
\(478\) 23.9195 + 73.6167i 1.09405 + 3.36715i
\(479\) 5.22924 + 1.11151i 0.238930 + 0.0507862i 0.325820 0.945432i \(-0.394360\pi\)
−0.0868901 + 0.996218i \(0.527693\pi\)
\(480\) −57.3467 + 16.9033i −2.61751 + 0.771524i
\(481\) 14.9592 3.17968i 0.682082 0.144981i
\(482\) 13.7216 + 23.7665i 0.625000 + 1.08253i
\(483\) −0.915097 0.933487i −0.0416383 0.0424751i
\(484\) −3.61350 34.3802i −0.164250 1.56274i
\(485\) −1.30200 + 4.53856i −0.0591207 + 0.206085i
\(486\) 38.0636 + 16.8277i 1.72660 + 0.763321i
\(487\) −14.9722 + 10.8779i −0.678455 + 0.492926i −0.872845 0.487998i \(-0.837727\pi\)
0.194390 + 0.980924i \(0.437727\pi\)
\(488\) −0.949246 9.03147i −0.0429703 0.408836i
\(489\) 5.39860 2.68341i 0.244133 0.121348i
\(490\) −26.7943 + 31.9245i −1.21045 + 1.44220i
\(491\) −30.9697 13.7886i −1.39764 0.622270i −0.436849 0.899535i \(-0.643906\pi\)
−0.960794 + 0.277264i \(0.910572\pi\)
\(492\) 58.7470 15.1165i 2.64852 0.681503i
\(493\) −10.0510 + 17.4089i −0.452675 + 0.784057i
\(494\) −0.359655 + 1.10690i −0.0161816 + 0.0498019i
\(495\) 0.420735 + 28.2525i 0.0189106 + 1.26986i
\(496\) 36.0306 + 110.891i 1.61782 + 4.97915i
\(497\) −0.426669 0.0906913i −0.0191387 0.00406806i
\(498\) −3.93264 2.60987i −0.176226 0.116951i
\(499\) −1.25899 2.18064i −0.0563603 0.0976189i 0.836469 0.548015i \(-0.184616\pi\)
−0.892829 + 0.450396i \(0.851283\pi\)
\(500\) 33.6803 + 46.3919i 1.50623 + 2.07471i
\(501\) −5.60780 + 0.237979i −0.250538 + 0.0106321i
\(502\) 52.3439 23.3050i 2.33622 1.04015i
\(503\) 7.30399 + 22.4794i 0.325669 + 1.00231i 0.971138 + 0.238519i \(0.0766620\pi\)
−0.645469 + 0.763787i \(0.723338\pi\)
\(504\) 1.31916 + 3.12899i 0.0587603 + 0.139376i
\(505\) −19.8616 13.4003i −0.883830 0.596305i
\(506\) 41.8935 + 46.5275i 1.86239 + 2.06840i
\(507\) 9.93077 + 15.6303i 0.441041 + 0.694165i
\(508\) 53.1056 11.2879i 2.35618 0.500822i
\(509\) 17.2765 + 7.69197i 0.765766 + 0.340941i 0.752172 0.658967i \(-0.229006\pi\)
0.0135935 + 0.999908i \(0.495673\pi\)
\(510\) −49.4379 6.57608i −2.18915 0.291194i
\(511\) −0.329678 + 0.146782i −0.0145841 + 0.00649326i
\(512\) −12.3030 + 8.93867i −0.543722 + 0.395037i
\(513\) 1.08522 1.02230i 0.0479135 0.0451357i
\(514\) 11.2463 + 8.17091i 0.496053 + 0.360404i
\(515\) −18.1462 18.7954i −0.799618 0.828226i
\(516\) 5.78916 + 39.0625i 0.254854 + 1.71963i
\(517\) −28.7165 + 6.10389i −1.26295 + 0.268449i
\(518\) −1.82140 3.15475i −0.0800276 0.138612i
\(519\) −14.8100 + 3.81082i −0.650085 + 0.167276i
\(520\) −19.7039 20.4089i −0.864074 0.894989i
\(521\) −0.835113 2.57021i −0.0365870 0.112603i 0.931095 0.364777i \(-0.118855\pi\)
−0.967682 + 0.252174i \(0.918855\pi\)
\(522\) 33.1209 + 4.14890i 1.44966 + 0.181592i
\(523\) −10.4857 7.61829i −0.458507 0.333125i 0.334438 0.942418i \(-0.391453\pi\)
−0.792945 + 0.609293i \(0.791453\pi\)
\(524\) −36.9302 + 63.9649i −1.61330 + 2.79432i
\(525\) 0.866687 0.791847i 0.0378253 0.0345591i
\(526\) −13.2720 22.9877i −0.578686 1.00231i
\(527\) −4.88367 + 46.4650i −0.212736 + 2.02405i
\(528\) −30.6544 82.2952i −1.33406 3.58144i
\(529\) −7.82290 1.66281i −0.340126 0.0722960i
\(530\) 18.6780 14.5893i 0.811320 0.633717i
\(531\) 5.48672 + 5.14156i 0.238103 + 0.223125i
\(532\) 0.199437 0.00864667
\(533\) 6.94391 + 7.71199i 0.300774 + 0.334043i
\(534\) 30.5757 + 12.0872i 1.32314 + 0.523066i
\(535\) −2.64751 + 37.7963i −0.114462 + 1.63408i
\(536\) 7.79727 74.1861i 0.336791 3.20435i
\(537\) 1.96252 + 13.2421i 0.0846888 + 0.571440i
\(538\) −8.43215 80.2266i −0.363536 3.45881i
\(539\) −23.7910 17.2852i −1.02475 0.744526i
\(540\) 15.7041 + 57.4707i 0.675796 + 2.47314i
\(541\) 0.557272 0.404882i 0.0239590 0.0174072i −0.575741 0.817632i \(-0.695286\pi\)
0.599700 + 0.800225i \(0.295286\pi\)
\(542\) 15.8960 + 17.6543i 0.682792 + 0.758317i
\(543\) −14.0153 + 26.8431i −0.601456 + 1.15195i
\(544\) 72.8298 15.4804i 3.12255 0.663719i
\(545\) −18.8554 30.1830i −0.807677 1.29290i
\(546\) −0.606694 + 0.734150i −0.0259641 + 0.0314187i
\(547\) 38.4262 + 8.16774i 1.64299 + 0.349227i 0.934353 0.356350i \(-0.115979\pi\)
0.708633 + 0.705577i \(0.249312\pi\)
\(548\) −26.0924 18.9573i −1.11461 0.809814i
\(549\) −3.25098 + 0.276422i −0.138748 + 0.0117974i
\(550\) −43.0807 + 36.1315i −1.83697 + 1.54065i
\(551\) 0.597899 1.03559i 0.0254713 0.0441176i
\(552\) 67.0915 + 44.5248i 2.85560 + 1.89510i
\(553\) −0.337459 + 0.374786i −0.0143502 + 0.0159375i
\(554\) 14.6075 16.2233i 0.620614 0.689262i
\(555\) −14.8703 36.0366i −0.631207 1.52967i
\(556\) −41.9263 46.5639i −1.77807 1.97475i
\(557\) 17.5295 0.742748 0.371374 0.928483i \(-0.378887\pi\)
0.371374 + 0.928483i \(0.378887\pi\)
\(558\) 74.2461 22.5011i 3.14309 0.952548i
\(559\) −5.46540 + 3.97084i −0.231162 + 0.167949i
\(560\) −1.71333 + 3.22138i −0.0724014 + 0.136128i
\(561\) 2.19116 35.1210i 0.0925108 1.48281i
\(562\) 62.1265 + 27.6605i 2.62065 + 1.16679i
\(563\) 14.4900 + 6.45136i 0.610681 + 0.271893i 0.688685 0.725060i \(-0.258188\pi\)
−0.0780046 + 0.996953i \(0.524855\pi\)
\(564\) −55.4320 + 27.5529i −2.33411 + 1.16019i
\(565\) 6.01473 11.3088i 0.253042 0.475765i
\(566\) 23.0545 16.7501i 0.969055 0.704059i
\(567\) 1.13339 0.451491i 0.0475980 0.0189608i
\(568\) 26.8691 1.12740
\(569\) −28.3146 31.4465i −1.18701 1.31831i −0.936697 0.350141i \(-0.886134\pi\)
−0.250311 0.968165i \(-0.580533\pi\)
\(570\) 2.94088 + 0.391187i 0.123180 + 0.0163850i
\(571\) −9.09406 + 10.1000i −0.380574 + 0.422671i −0.902749 0.430168i \(-0.858454\pi\)
0.522174 + 0.852839i \(0.325121\pi\)
\(572\) 21.9578 24.3866i 0.918103 1.01966i
\(573\) 1.39828 22.4123i 0.0584138 0.936286i
\(574\) 1.23593 2.14069i 0.0515867 0.0893507i
\(575\) 6.74101 27.0093i 0.281120 1.12636i
\(576\) −29.3863 42.1869i −1.22443 1.75779i
\(577\) 8.62008 + 6.26285i 0.358858 + 0.260726i 0.752576 0.658506i \(-0.228811\pi\)
−0.393717 + 0.919232i \(0.628811\pi\)
\(578\) 16.3604 + 3.47750i 0.680501 + 0.144645i
\(579\) 6.65640 + 17.8699i 0.276631 + 0.742646i
\(580\) 25.3173 + 40.5269i 1.05124 + 1.68279i
\(581\) −0.135339 + 0.0287671i −0.00561479 + 0.00119346i
\(582\) −9.75548 + 0.413995i −0.404378 + 0.0171606i
\(583\) 11.1895 + 12.4272i 0.463421 + 0.514681i
\(584\) 17.9839 13.0661i 0.744180 0.540678i
\(585\) −7.47191 + 6.93196i −0.308925 + 0.286601i
\(586\) −42.0778 30.5713i −1.73822 1.26289i
\(587\) 0.698379 + 6.64463i 0.0288252 + 0.274253i 0.999435 + 0.0335965i \(0.0106961\pi\)
−0.970610 + 0.240657i \(0.922637\pi\)
\(588\) −57.6636 22.7957i −2.37801 0.940079i
\(589\) 0.290511 2.76403i 0.0119703 0.113890i
\(590\) −1.04553 + 14.9262i −0.0430440 + 0.614503i
\(591\) 2.01193 + 13.5756i 0.0827599 + 0.558425i
\(592\) 81.0740 + 90.0418i 3.33212 + 3.70070i
\(593\) −13.1850 −0.541442 −0.270721 0.962658i \(-0.587262\pi\)
−0.270721 + 0.962658i \(0.587262\pi\)
\(594\) −55.1519 + 19.3031i −2.26291 + 0.792018i
\(595\) −1.15220 + 0.899978i −0.0472357 + 0.0368955i
\(596\) 12.9507 + 2.75275i 0.530480 + 0.112757i
\(597\) −28.7156 4.84141i −1.17525 0.198146i
\(598\) −2.36066 + 22.4602i −0.0965348 + 0.918467i
\(599\) −4.22052 7.31016i −0.172446 0.298685i 0.766829 0.641852i \(-0.221834\pi\)
−0.939274 + 0.343167i \(0.888500\pi\)
\(600\) −42.0784 + 58.8100i −1.71784 + 2.40091i
\(601\) −13.2046 + 22.8711i −0.538628 + 0.932931i 0.460351 + 0.887737i \(0.347724\pi\)
−0.998978 + 0.0451933i \(0.985610\pi\)
\(602\) 1.30182 + 0.945829i 0.0530583 + 0.0385491i
\(603\) −26.5926 3.33113i −1.08294 0.135654i
\(604\) 3.00883 + 9.26023i 0.122428 + 0.376793i
\(605\) −10.4708 10.8454i −0.425699 0.440929i
\(606\) 13.2994 47.7295i 0.540250 1.93888i
\(607\) 15.9189 + 27.5724i 0.646129 + 1.11913i 0.984040 + 0.177950i \(0.0569466\pi\)
−0.337910 + 0.941178i \(0.609720\pi\)
\(608\) −4.33238 + 0.920875i −0.175701 + 0.0373464i
\(609\) 0.766543 0.608208i 0.0310619 0.0246459i
\(610\) −4.50954 4.67088i −0.182586 0.189118i
\(611\) −8.56740 6.22458i −0.346600 0.251820i
\(612\) −13.9795 72.8685i −0.565089 2.94554i
\(613\) −16.4747 + 11.9696i −0.665407 + 0.483446i −0.868485 0.495716i \(-0.834906\pi\)
0.203078 + 0.979163i \(0.434906\pi\)
\(614\) 11.7479 5.23051i 0.474107 0.211086i
\(615\) 16.1317 20.9650i 0.650494 0.845391i
\(616\) −4.35549 1.93919i −0.175488 0.0781322i
\(617\) −26.7830 + 5.69291i −1.07824 + 0.229188i −0.712603 0.701568i \(-0.752484\pi\)
−0.365642 + 0.930756i \(0.619151\pi\)
\(618\) 25.0057 47.8927i 1.00588 1.92652i
\(619\) −20.1573 22.3869i −0.810190 0.899807i 0.186387 0.982476i \(-0.440322\pi\)
−0.996577 + 0.0826697i \(0.973655\pi\)
\(620\) 92.0664 + 62.1156i 3.69748 + 2.49462i
\(621\) 16.4733 23.7816i 0.661051 0.954325i
\(622\) −2.04672 6.29916i −0.0820661 0.252573i
\(623\) 0.880491 0.392020i 0.0352761 0.0157060i
\(624\) 14.6614 28.0805i 0.586926 1.12412i
\(625\) 24.0282 + 6.90241i 0.961130 + 0.276096i
\(626\) −15.7820 27.3352i −0.630775 1.09253i
\(627\) −0.130344 + 2.08922i −0.00520544 + 0.0834354i
\(628\) −48.0954 10.2230i −1.91921 0.407941i
\(629\) 15.0029 + 46.1742i 0.598205 + 1.84108i
\(630\) 2.12031 + 1.18242i 0.0844753 + 0.0471088i
\(631\) −14.5309 + 44.7216i −0.578466 + 1.78034i 0.0455932 + 0.998960i \(0.485482\pi\)
−0.624060 + 0.781377i \(0.714518\pi\)
\(632\) 15.5327 26.9034i 0.617857 1.07016i
\(633\) −2.57884 + 9.25508i −0.102500 + 0.367857i
\(634\) −70.9812 31.6029i −2.81902 1.25511i
\(635\) 15.2207 18.1349i 0.604014 0.719661i
\(636\) 29.3787 + 19.4970i 1.16494 + 0.773105i
\(637\) −1.10880 10.5495i −0.0439323 0.417988i
\(638\) −37.9157 + 27.5473i −1.50110 + 1.09061i
\(639\) 0.192058 9.65165i 0.00759771 0.381813i
\(640\) 9.17506 31.9828i 0.362676 1.26423i
\(641\) 2.31632 + 22.0383i 0.0914891 + 0.870460i 0.939975 + 0.341243i \(0.110848\pi\)
−0.848486 + 0.529218i \(0.822486\pi\)
\(642\) −75.8820 + 19.5256i −2.99482 + 0.770612i
\(643\) −2.55849 4.43143i −0.100897 0.174759i 0.811157 0.584828i \(-0.198838\pi\)
−0.912054 + 0.410069i \(0.865505\pi\)
\(644\) 3.78535 0.804600i 0.149164 0.0317057i
\(645\) 12.4754 + 11.8706i 0.491220 + 0.467403i
\(646\) −3.61406 0.768193i −0.142193 0.0302241i
\(647\) −2.24133 6.89811i −0.0881158 0.271193i 0.897283 0.441456i \(-0.145538\pi\)
−0.985399 + 0.170264i \(0.945538\pi\)
\(648\) −62.5069 + 41.7185i −2.45550 + 1.63886i
\(649\) −10.5573 −0.414412
\(650\) −20.0837 2.82747i −0.787747 0.110902i
\(651\) 1.05260 2.01602i 0.0412548 0.0790139i
\(652\) −1.86559 + 17.7499i −0.0730621 + 0.695139i
\(653\) 15.2667 16.9554i 0.597434 0.663517i −0.366265 0.930511i \(-0.619364\pi\)
0.963698 + 0.266993i \(0.0860302\pi\)
\(654\) 46.8825 56.7317i 1.83325 2.21838i
\(655\) 4.47885 + 31.8963i 0.175003 + 1.24629i
\(656\) −25.4063 + 78.1926i −0.991949 + 3.05291i
\(657\) −4.56492 6.55340i −0.178094 0.255672i
\(658\) −0.779478 + 2.39899i −0.0303872 + 0.0935223i
\(659\) −0.318857 3.03372i −0.0124209 0.118177i 0.986555 0.163432i \(-0.0522565\pi\)
−0.998975 + 0.0452553i \(0.985590\pi\)
\(660\) −71.2639 43.8021i −2.77394 1.70500i
\(661\) 0.769037 7.31690i 0.0299121 0.284594i −0.969333 0.245750i \(-0.920966\pi\)
0.999245 0.0388442i \(-0.0123676\pi\)
\(662\) −24.6312 10.9665i −0.957320 0.426226i
\(663\) 9.94352 7.88962i 0.386174 0.306407i
\(664\) 7.78599 3.46655i 0.302155 0.134528i
\(665\) 0.0685403 0.0535364i 0.00265788 0.00207605i
\(666\) 60.9727 52.7418i 2.36264 2.04370i
\(667\) 7.17028 22.0679i 0.277634 0.854471i
\(668\) 8.30824 14.3903i 0.321455 0.556777i
\(669\) 0.724213 0.186351i 0.0279997 0.00720473i
\(670\) −28.2556 45.2305i −1.09161 1.74741i
\(671\) 3.06526 3.40431i 0.118333 0.131422i
\(672\) −3.57395 0.602563i −0.137868 0.0232444i
\(673\) −44.7482 + 19.9232i −1.72492 + 0.767983i −0.728349 + 0.685206i \(0.759712\pi\)
−0.996568 + 0.0827765i \(0.973621\pi\)
\(674\) −32.1775 −1.23943
\(675\) 20.8243 + 15.5354i 0.801529 + 0.597956i
\(676\) −54.8221 −2.10854
\(677\) −12.9325 + 5.75790i −0.497035 + 0.221294i −0.639915 0.768446i \(-0.721030\pi\)
0.142880 + 0.989740i \(0.454364\pi\)
\(678\) 26.1199 + 4.40378i 1.00313 + 0.169126i
\(679\) −0.191530 + 0.212716i −0.00735026 + 0.00816329i
\(680\) 57.8965 68.9816i 2.22023 2.64533i
\(681\) −6.29219 + 1.61907i −0.241117 + 0.0620430i
\(682\) −54.4631 + 94.3328i −2.08550 + 3.61219i
\(683\) 2.59574 7.98887i 0.0993233 0.305686i −0.889033 0.457843i \(-0.848622\pi\)
0.988356 + 0.152158i \(0.0486221\pi\)
\(684\) 0.831591 + 4.33468i 0.0317967 + 0.165741i
\(685\) −14.0560 + 0.489168i −0.537053 + 0.0186901i
\(686\) −4.62254 + 2.05809i −0.176489 + 0.0785782i
\(687\) 16.9736 13.4676i 0.647584 0.513822i
\(688\) −48.8945 21.7692i −1.86409 0.829944i
\(689\) −0.630518 + 5.99898i −0.0240208 + 0.228543i
\(690\) 57.3967 4.43979i 2.18506 0.169020i
\(691\) −2.66759 25.3804i −0.101480 0.965517i −0.920233 0.391371i \(-0.872001\pi\)
0.818753 0.574146i \(-0.194666\pi\)
\(692\) 13.9899 43.0563i 0.531814 1.63676i
\(693\) −0.727708 + 1.55067i −0.0276434 + 0.0589052i
\(694\) −9.01374 + 27.7415i −0.342157 + 1.05305i
\(695\) −26.9083 4.74798i −1.02069 0.180101i
\(696\) −38.3964 + 46.4628i −1.45541 + 1.76117i
\(697\) −22.0441 + 24.4824i −0.834979 + 0.927338i
\(698\) 3.37234 32.0857i 0.127645 1.21446i
\(699\) 8.20881 15.7221i 0.310486 0.594663i
\(700\) 0.602683 + 3.42276i 0.0227793 + 0.129368i
\(701\) 11.4130 0.431063 0.215532 0.976497i \(-0.430852\pi\)
0.215532 + 0.976497i \(0.430852\pi\)
\(702\) −18.4862 10.1251i −0.697717 0.382147i
\(703\) −0.892467 2.74673i −0.0336600 0.103595i
\(704\) 70.6081 + 15.0082i 2.66114 + 0.565644i
\(705\) −11.6541 + 24.3492i −0.438918 + 0.917043i
\(706\) 13.9433 2.96374i 0.524764 0.111542i
\(707\) −0.726241 1.25789i −0.0273131 0.0473077i
\(708\) −21.5581 + 5.54722i −0.810204 + 0.208477i
\(709\) 0.940531 + 8.94855i 0.0353224 + 0.336070i 0.997885 + 0.0650093i \(0.0207077\pi\)
−0.962562 + 0.271061i \(0.912626\pi\)
\(710\) 15.1390 11.8249i 0.568155 0.443782i
\(711\) −9.55294 5.77180i −0.358263 0.216459i
\(712\) −48.0307 + 34.8964i −1.80003 + 1.30780i
\(713\) −5.63715 53.6339i −0.211113 2.00861i
\(714\) −2.51918 1.67184i −0.0942780 0.0625670i
\(715\) 0.999936 14.2753i 0.0373955 0.533865i
\(716\) −36.2044 16.1192i −1.35302 0.602404i
\(717\) −13.4792 + 48.3750i −0.503391 + 1.80660i
\(718\) 17.7848 30.8042i 0.663723 1.14960i
\(719\) 9.37500 28.8533i 0.349629 1.07605i −0.609430 0.792840i \(-0.708602\pi\)
0.959059 0.283207i \(-0.0913982\pi\)
\(720\) −77.1595 23.8064i −2.87557 0.887212i
\(721\) −0.489425 1.50630i −0.0182272 0.0560974i
\(722\) −49.4020 10.5007i −1.83855 0.390796i
\(723\) −1.10863 + 17.7696i −0.0412303 + 0.660860i
\(724\) −44.8236 77.6367i −1.66585 2.88534i
\(725\) 19.5798 + 7.13175i 0.727174 + 0.264866i
\(726\) 14.4289 27.6352i 0.535507 1.02564i
\(727\) 25.1041 11.1771i 0.931061 0.414535i 0.115566 0.993300i \(-0.463132\pi\)
0.815495 + 0.578765i \(0.196465\pi\)
\(728\) −0.531439 1.63560i −0.0196964 0.0606194i
\(729\) 14.5389 + 22.7513i 0.538478 + 0.842640i
\(730\) 4.38244 15.2765i 0.162201 0.565409i
\(731\) −14.3504 15.9377i −0.530767 0.589477i
\(732\) 4.47051 8.56222i 0.165235 0.316469i
\(733\) 6.48313 1.37803i 0.239460 0.0508988i −0.0866183 0.996242i \(-0.527606\pi\)
0.326078 + 0.945343i \(0.394273\pi\)
\(734\) 73.5770 + 32.7586i 2.71578 + 1.20914i
\(735\) −25.9365 + 7.64492i −0.956682 + 0.281987i
\(736\) −78.5142 + 34.9568i −2.89407 + 1.28852i
\(737\) 30.4423 22.1176i 1.12136 0.814714i
\(738\) 51.6806 + 17.9364i 1.90239 + 0.660248i
\(739\) −38.6512 28.0817i −1.42181 1.03300i −0.991470 0.130335i \(-0.958395\pi\)
−0.430337 0.902668i \(-0.641605\pi\)
\(740\) 113.654 + 20.0543i 4.17801 + 0.737210i
\(741\) −0.591504 + 0.469325i −0.0217294 + 0.0172411i
\(742\) 1.40539 0.298725i 0.0515936 0.0109666i
\(743\) 17.2283 + 29.8402i 0.632044 + 1.09473i 0.987133 + 0.159900i \(0.0511170\pi\)
−0.355090 + 0.934832i \(0.615550\pi\)
\(744\) −37.6024 + 134.950i −1.37857 + 4.94749i
\(745\) 5.18969 2.53041i 0.190136 0.0927072i
\(746\) 18.2963 + 56.3103i 0.669877 + 2.06167i
\(747\) −1.18956 2.82158i −0.0435239 0.103236i
\(748\) 84.2799 + 61.2329i 3.08158 + 2.23890i
\(749\) −1.14847 + 1.98920i −0.0419640 + 0.0726838i
\(750\) 2.17352 + 51.6540i 0.0793657 + 1.88614i
\(751\) 0.682040 + 1.18133i 0.0248880 + 0.0431072i 0.878201 0.478292i \(-0.158744\pi\)
−0.853313 + 0.521399i \(0.825410\pi\)
\(752\) 8.76985 83.4395i 0.319803 3.04273i
\(753\) 36.6554 + 6.18005i 1.33580 + 0.225214i
\(754\) −16.5360 3.51482i −0.602204 0.128002i
\(755\) 3.51984 + 2.37478i 0.128100 + 0.0864269i
\(756\) −0.671201 + 3.54884i −0.0244113 + 0.129070i
\(757\) −46.5288 −1.69112 −0.845559 0.533882i \(-0.820733\pi\)
−0.845559 + 0.533882i \(0.820733\pi\)
\(758\) −1.17871 1.30909i −0.0428126 0.0475482i
\(759\) 5.95473 + 40.1797i 0.216143 + 1.45843i
\(760\) −3.44405 + 4.10346i −0.124929 + 0.148848i
\(761\) −2.05258 + 19.5290i −0.0744058 + 0.707924i 0.892197 + 0.451646i \(0.149163\pi\)
−0.966603 + 0.256278i \(0.917504\pi\)
\(762\) 45.5325 + 18.0000i 1.64947 + 0.652071i
\(763\) −0.225517 2.14565i −0.00816427 0.0776778i
\(764\) 53.7827 + 39.0754i 1.94579 + 1.41370i
\(765\) −24.3650 21.2901i −0.880920 0.769744i
\(766\) 75.5770 54.9099i 2.73071 1.98398i
\(767\) −2.54818 2.83004i −0.0920093 0.102187i
\(768\) 9.43286 0.400303i 0.340379 0.0144447i
\(769\) 31.3047 6.65402i 1.12888 0.239950i 0.394635 0.918838i \(-0.370871\pi\)
0.734242 + 0.678888i \(0.237538\pi\)
\(770\) −3.30746 + 0.824222i −0.119192 + 0.0297029i
\(771\) 3.14807