Properties

Label 225.2.q.a.16.16
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 16.16
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309584 - 0.137836i) q^{2} +(1.59476 + 0.675825i) q^{3} +(-1.26142 + 1.40095i) q^{4} +(-1.79806 + 1.32928i) q^{5} +(0.586865 - 0.0105903i) q^{6} +(0.0614798 - 0.106486i) q^{7} +(-0.406855 + 1.25217i) q^{8} +(2.08652 + 2.15556i) q^{9} +O(q^{10})\) \(q+(0.309584 - 0.137836i) q^{2} +(1.59476 + 0.675825i) q^{3} +(-1.26142 + 1.40095i) q^{4} +(-1.79806 + 1.32928i) q^{5} +(0.586865 - 0.0105903i) q^{6} +(0.0614798 - 0.106486i) q^{7} +(-0.406855 + 1.25217i) q^{8} +(2.08652 + 2.15556i) q^{9} +(-0.373429 + 0.659360i) q^{10} +(0.389945 - 0.173615i) q^{11} +(-2.95845 + 1.38168i) q^{12} +(3.49609 + 1.55656i) q^{13} +(0.00435558 - 0.0414406i) q^{14} +(-3.76583 + 0.904704i) q^{15} +(-0.347467 - 3.30593i) q^{16} +(-1.33754 + 4.11653i) q^{17} +(0.943067 + 0.379729i) q^{18} +(0.402455 - 1.23863i) q^{19} +(0.405860 - 4.19576i) q^{20} +(0.170012 - 0.128270i) q^{21} +(0.0967906 - 0.107497i) q^{22} +(0.834522 - 7.93995i) q^{23} +(-1.49508 + 1.72195i) q^{24} +(1.46605 - 4.78024i) q^{25} +1.29688 q^{26} +(1.87072 + 4.84772i) q^{27} +(0.0716297 + 0.220453i) q^{28} +(-4.68288 - 0.995377i) q^{29} +(-1.04114 + 0.799149i) q^{30} +(6.54724 - 1.39166i) q^{31} +(-1.87986 - 3.25601i) q^{32} +(0.739203 - 0.0133393i) q^{33} +(0.153323 + 1.45877i) q^{34} +(0.0310051 + 0.273192i) q^{35} +(-5.65179 + 0.204046i) q^{36} +(5.35375 - 3.88973i) q^{37} +(-0.0461337 - 0.438933i) q^{38} +(4.52347 + 4.84509i) q^{39} +(-0.932932 - 2.79230i) q^{40} +(5.82236 + 2.59228i) q^{41} +(0.0349527 - 0.0631441i) q^{42} +(-1.74377 + 3.02030i) q^{43} +(-0.248659 + 0.765293i) q^{44} +(-6.61703 - 1.10226i) q^{45} +(-0.836054 - 2.57311i) q^{46} +(-5.28842 - 1.12409i) q^{47} +(1.68010 - 5.50700i) q^{48} +(3.49244 + 6.04908i) q^{49} +(-0.205024 - 1.68196i) q^{50} +(-4.91511 + 5.66093i) q^{51} +(-6.59069 + 2.93436i) q^{52} +(-1.82854 - 5.62767i) q^{53} +(1.24734 + 1.24293i) q^{54} +(-0.470363 + 0.830516i) q^{55} +(0.108326 + 0.120308i) q^{56} +(1.47892 - 1.70333i) q^{57} +(-1.58694 + 0.337315i) q^{58} +(-5.94695 - 2.64775i) q^{59} +(3.48285 - 6.41694i) q^{60} +(9.05256 - 4.03046i) q^{61} +(1.83510 - 1.33328i) q^{62} +(0.357816 - 0.0896624i) q^{63} +(4.34781 + 3.15887i) q^{64} +(-8.35529 + 1.84848i) q^{65} +(0.227007 - 0.106018i) q^{66} +(-7.58023 + 1.61123i) q^{67} +(-4.07984 - 7.06649i) q^{68} +(6.69688 - 12.0983i) q^{69} +(0.0472544 + 0.0803024i) q^{70} +(1.29478 + 3.98492i) q^{71} +(-3.54804 + 1.73568i) q^{72} +(-8.67115 - 6.29996i) q^{73} +(1.12129 - 1.94214i) q^{74} +(5.56860 - 6.63255i) q^{75} +(1.22759 + 2.12625i) q^{76} +(0.00548619 - 0.0521976i) q^{77} +(2.06822 + 0.876467i) q^{78} +(6.30512 + 1.34020i) q^{79} +(5.01927 + 5.48239i) q^{80} +(-0.292856 + 8.99523i) q^{81} +2.15982 q^{82} +(-1.73857 - 1.93088i) q^{83} +(-0.0347558 + 0.399980i) q^{84} +(-3.06703 - 9.17973i) q^{85} +(-0.123539 + 1.17539i) q^{86} +(-6.79537 - 4.75220i) q^{87} +(0.0587443 + 0.558914i) q^{88} +(4.89782 + 3.55847i) q^{89} +(-2.20046 + 0.570821i) q^{90} +(0.380691 - 0.276588i) q^{91} +(10.0708 + 11.1847i) q^{92} +(11.3818 + 2.20542i) q^{93} +(-1.79215 + 0.380933i) q^{94} +(0.922843 + 2.76211i) q^{95} +(-0.797430 - 6.46301i) q^{96} +(-13.6699 - 2.90563i) q^{97} +(1.91498 + 1.39132i) q^{98} +(1.18787 + 0.478299i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309584 0.137836i 0.218909 0.0974646i −0.294352 0.955697i \(-0.595104\pi\)
0.513261 + 0.858232i \(0.328437\pi\)
\(3\) 1.59476 + 0.675825i 0.920735 + 0.390188i
\(4\) −1.26142 + 1.40095i −0.630709 + 0.700473i
\(5\) −1.79806 + 1.32928i −0.804117 + 0.594471i
\(6\) 0.586865 0.0105903i 0.239587 0.00432348i
\(7\) 0.0614798 0.106486i 0.0232372 0.0402480i −0.854173 0.519989i \(-0.825936\pi\)
0.877410 + 0.479741i \(0.159269\pi\)
\(8\) −0.406855 + 1.25217i −0.143845 + 0.442709i
\(9\) 2.08652 + 2.15556i 0.695507 + 0.718519i
\(10\) −0.373429 + 0.659360i −0.118089 + 0.208508i
\(11\) 0.389945 0.173615i 0.117573 0.0523469i −0.347107 0.937825i \(-0.612836\pi\)
0.464680 + 0.885479i \(0.346169\pi\)
\(12\) −2.95845 + 1.38168i −0.854032 + 0.398856i
\(13\) 3.49609 + 1.55656i 0.969642 + 0.431712i 0.829554 0.558427i \(-0.188595\pi\)
0.140088 + 0.990139i \(0.455262\pi\)
\(14\) 0.00435558 0.0414406i 0.00116408 0.0110755i
\(15\) −3.76583 + 0.904704i −0.972334 + 0.233594i
\(16\) −0.347467 3.30593i −0.0868669 0.826483i
\(17\) −1.33754 + 4.11653i −0.324401 + 0.998405i 0.647309 + 0.762228i \(0.275895\pi\)
−0.971710 + 0.236177i \(0.924105\pi\)
\(18\) 0.943067 + 0.379729i 0.222283 + 0.0895030i
\(19\) 0.402455 1.23863i 0.0923296 0.284161i −0.894219 0.447630i \(-0.852268\pi\)
0.986549 + 0.163469i \(0.0522682\pi\)
\(20\) 0.405860 4.19576i 0.0907531 0.938200i
\(21\) 0.170012 0.128270i 0.0370996 0.0279909i
\(22\) 0.0967906 0.107497i 0.0206358 0.0229184i
\(23\) 0.834522 7.93995i 0.174010 1.65559i −0.464200 0.885731i \(-0.653658\pi\)
0.638210 0.769863i \(-0.279675\pi\)
\(24\) −1.49508 + 1.72195i −0.305183 + 0.351492i
\(25\) 1.46605 4.78024i 0.293209 0.956048i
\(26\) 1.29688 0.254340
\(27\) 1.87072 + 4.84772i 0.360021 + 0.932944i
\(28\) 0.0716297 + 0.220453i 0.0135367 + 0.0416618i
\(29\) −4.68288 0.995377i −0.869589 0.184837i −0.248553 0.968618i \(-0.579955\pi\)
−0.621037 + 0.783782i \(0.713288\pi\)
\(30\) −1.04114 + 0.799149i −0.190086 + 0.145904i
\(31\) 6.54724 1.39166i 1.17592 0.249949i 0.421801 0.906688i \(-0.361398\pi\)
0.754118 + 0.656739i \(0.228065\pi\)
\(32\) −1.87986 3.25601i −0.332315 0.575586i
\(33\) 0.739203 0.0133393i 0.128679 0.00232208i
\(34\) 0.153323 + 1.45877i 0.0262947 + 0.250178i
\(35\) 0.0310051 + 0.273192i 0.00524083 + 0.0461779i
\(36\) −5.65179 + 0.204046i −0.941966 + 0.0340077i
\(37\) 5.35375 3.88973i 0.880151 0.639467i −0.0531405 0.998587i \(-0.516923\pi\)
0.933291 + 0.359120i \(0.116923\pi\)
\(38\) −0.0461337 0.438933i −0.00748388 0.0712043i
\(39\) 4.52347 + 4.84509i 0.724335 + 0.775835i
\(40\) −0.932932 2.79230i −0.147509 0.441502i
\(41\) 5.82236 + 2.59228i 0.909300 + 0.404847i 0.807438 0.589952i \(-0.200853\pi\)
0.101862 + 0.994799i \(0.467520\pi\)
\(42\) 0.0349527 0.0631441i 0.00539331 0.00974335i
\(43\) −1.74377 + 3.02030i −0.265923 + 0.460592i −0.967805 0.251701i \(-0.919010\pi\)
0.701882 + 0.712293i \(0.252343\pi\)
\(44\) −0.248659 + 0.765293i −0.0374867 + 0.115372i
\(45\) −6.61703 1.10226i −0.986408 0.164315i
\(46\) −0.836054 2.57311i −0.123269 0.379384i
\(47\) −5.28842 1.12409i −0.771395 0.163965i −0.194632 0.980876i \(-0.562351\pi\)
−0.576763 + 0.816911i \(0.695685\pi\)
\(48\) 1.68010 5.50700i 0.242502 0.794867i
\(49\) 3.49244 + 6.04908i 0.498920 + 0.864155i
\(50\) −0.205024 1.68196i −0.0289947 0.237865i
\(51\) −4.91511 + 5.66093i −0.688253 + 0.792689i
\(52\) −6.59069 + 2.93436i −0.913964 + 0.406923i
\(53\) −1.82854 5.62767i −0.251169 0.773019i −0.994560 0.104162i \(-0.966784\pi\)
0.743391 0.668857i \(-0.233216\pi\)
\(54\) 1.24734 + 1.24293i 0.169741 + 0.169141i
\(55\) −0.470363 + 0.830516i −0.0634238 + 0.111987i
\(56\) 0.108326 + 0.120308i 0.0144756 + 0.0160768i
\(57\) 1.47892 1.70333i 0.195887 0.225611i
\(58\) −1.58694 + 0.337315i −0.208376 + 0.0442917i
\(59\) −5.94695 2.64775i −0.774226 0.344708i −0.0186992 0.999825i \(-0.505952\pi\)
−0.755527 + 0.655117i \(0.772619\pi\)
\(60\) 3.48285 6.41694i 0.449634 0.828424i
\(61\) 9.05256 4.03046i 1.15906 0.516048i 0.265113 0.964217i \(-0.414591\pi\)
0.893949 + 0.448170i \(0.147924\pi\)
\(62\) 1.83510 1.33328i 0.233058 0.169327i
\(63\) 0.357816 0.0896624i 0.0450806 0.0112964i
\(64\) 4.34781 + 3.15887i 0.543476 + 0.394858i
\(65\) −8.35529 + 1.84848i −1.03635 + 0.229276i
\(66\) 0.227007 0.106018i 0.0279426 0.0130499i
\(67\) −7.58023 + 1.61123i −0.926072 + 0.196843i −0.646177 0.763188i \(-0.723633\pi\)
−0.279896 + 0.960030i \(0.590300\pi\)
\(68\) −4.07984 7.06649i −0.494753 0.856937i
\(69\) 6.69688 12.0983i 0.806209 1.45647i
\(70\) 0.0472544 + 0.0803024i 0.00564798 + 0.00959797i
\(71\) 1.29478 + 3.98492i 0.153662 + 0.472923i 0.998023 0.0628518i \(-0.0200196\pi\)
−0.844361 + 0.535775i \(0.820020\pi\)
\(72\) −3.54804 + 1.73568i −0.418140 + 0.204552i
\(73\) −8.67115 6.29996i −1.01488 0.737354i −0.0496538 0.998766i \(-0.515812\pi\)
−0.965227 + 0.261412i \(0.915812\pi\)
\(74\) 1.12129 1.94214i 0.130348 0.225769i
\(75\) 5.56860 6.63255i 0.643006 0.765861i
\(76\) 1.22759 + 2.12625i 0.140814 + 0.243897i
\(77\) 0.00548619 0.0521976i 0.000625209 0.00594847i
\(78\) 2.06822 + 0.876467i 0.234180 + 0.0992403i
\(79\) 6.30512 + 1.34020i 0.709382 + 0.150784i 0.548452 0.836182i \(-0.315217\pi\)
0.160930 + 0.986966i \(0.448551\pi\)
\(80\) 5.01927 + 5.48239i 0.561171 + 0.612950i
\(81\) −0.292856 + 8.99523i −0.0325395 + 0.999470i
\(82\) 2.15982 0.238512
\(83\) −1.73857 1.93088i −0.190833 0.211942i 0.640134 0.768263i \(-0.278879\pi\)
−0.830967 + 0.556322i \(0.812212\pi\)
\(84\) −0.0347558 + 0.399980i −0.00379216 + 0.0436413i
\(85\) −3.06703 9.17973i −0.332666 0.995682i
\(86\) −0.123539 + 1.17539i −0.0133215 + 0.126746i
\(87\) −6.79537 4.75220i −0.728540 0.509489i
\(88\) 0.0587443 + 0.558914i 0.00626216 + 0.0595805i
\(89\) 4.89782 + 3.55847i 0.519168 + 0.377197i 0.816290 0.577642i \(-0.196027\pi\)
−0.297123 + 0.954839i \(0.596027\pi\)
\(90\) −2.20046 + 0.570821i −0.231949 + 0.0601698i
\(91\) 0.380691 0.276588i 0.0399073 0.0289944i
\(92\) 10.0708 + 11.1847i 1.04995 + 1.16609i
\(93\) 11.3818 + 2.20542i 1.18024 + 0.228692i
\(94\) −1.79215 + 0.380933i −0.184846 + 0.0392903i
\(95\) 0.922843 + 2.76211i 0.0946817 + 0.283386i
\(96\) −0.797430 6.46301i −0.0813874 0.659628i
\(97\) −13.6699 2.90563i −1.38797 0.295022i −0.547467 0.836827i \(-0.684408\pi\)
−0.840504 + 0.541805i \(0.817741\pi\)
\(98\) 1.91498 + 1.39132i 0.193443 + 0.140544i
\(99\) 1.18787 + 0.478299i 0.119385 + 0.0480708i
\(100\) 4.84756 + 8.08373i 0.484756 + 0.808373i
\(101\) −8.64870 + 14.9800i −0.860578 + 1.49056i 0.0107947 + 0.999942i \(0.496564\pi\)
−0.871372 + 0.490622i \(0.836769\pi\)
\(102\) −0.741361 + 2.43001i −0.0734057 + 0.240607i
\(103\) 1.27003 1.41052i 0.125140 0.138982i −0.677319 0.735690i \(-0.736858\pi\)
0.802459 + 0.596708i \(0.203525\pi\)
\(104\) −3.37148 + 3.74441i −0.330601 + 0.367170i
\(105\) −0.135184 + 0.456630i −0.0131926 + 0.0445626i
\(106\) −1.34178 1.49020i −0.130325 0.144741i
\(107\) 5.58314 0.539742 0.269871 0.962896i \(-0.413019\pi\)
0.269871 + 0.962896i \(0.413019\pi\)
\(108\) −9.15116 3.49422i −0.880571 0.336231i
\(109\) −10.3236 + 7.50051i −0.988818 + 0.718419i −0.959662 0.281156i \(-0.909282\pi\)
−0.0291563 + 0.999575i \(0.509282\pi\)
\(110\) −0.0311423 + 0.321947i −0.00296930 + 0.0306965i
\(111\) 11.1667 2.58498i 1.05990 0.245356i
\(112\) −0.373398 0.166248i −0.0352828 0.0157089i
\(113\) 0.606880 + 0.270201i 0.0570905 + 0.0254183i 0.435083 0.900390i \(-0.356719\pi\)
−0.377993 + 0.925809i \(0.623386\pi\)
\(114\) 0.223070 0.731171i 0.0208924 0.0684804i
\(115\) 9.05386 + 15.3858i 0.844277 + 1.43473i
\(116\) 7.30154 5.30488i 0.677931 0.492546i
\(117\) 3.93942 + 10.7838i 0.364199 + 0.996965i
\(118\) −2.20603 −0.203082
\(119\) 0.356122 + 0.395513i 0.0326456 + 0.0362566i
\(120\) 0.399305 5.08355i 0.0364514 0.464063i
\(121\) −7.23852 + 8.03919i −0.658047 + 0.730836i
\(122\) 2.24699 2.49553i 0.203433 0.225935i
\(123\) 7.53335 + 8.06897i 0.679259 + 0.727554i
\(124\) −6.30916 + 10.9278i −0.566580 + 0.981345i
\(125\) 3.71822 + 10.5439i 0.332568 + 0.943079i
\(126\) 0.0984155 0.0770779i 0.00876755 0.00686665i
\(127\) 1.19275 + 0.866583i 0.105839 + 0.0768968i 0.639446 0.768836i \(-0.279164\pi\)
−0.533607 + 0.845733i \(0.679164\pi\)
\(128\) 9.13653 + 1.94203i 0.807562 + 0.171653i
\(129\) −4.82209 + 3.63817i −0.424562 + 0.320323i
\(130\) −2.33188 + 1.72392i −0.204519 + 0.151198i
\(131\) 18.5605 3.94515i 1.62164 0.344689i 0.694523 0.719470i \(-0.255615\pi\)
0.927113 + 0.374781i \(0.122282\pi\)
\(132\) −0.913756 + 1.05241i −0.0795322 + 0.0916005i
\(133\) −0.107154 0.119007i −0.00929144 0.0103192i
\(134\) −2.12463 + 1.54364i −0.183540 + 0.133350i
\(135\) −9.80764 6.22979i −0.844107 0.536175i
\(136\) −4.61041 3.34966i −0.395340 0.287231i
\(137\) −0.493146 4.69197i −0.0421323 0.400862i −0.995182 0.0980472i \(-0.968740\pi\)
0.953049 0.302815i \(-0.0979263\pi\)
\(138\) 0.405665 4.66852i 0.0345325 0.397411i
\(139\) 1.65057 15.7041i 0.139999 1.33201i −0.668590 0.743632i \(-0.733102\pi\)
0.808589 0.588374i \(-0.200232\pi\)
\(140\) −0.421838 0.301173i −0.0356518 0.0254538i
\(141\) −7.67407 5.36670i −0.646274 0.451957i
\(142\) 0.950108 + 1.05520i 0.0797313 + 0.0885505i
\(143\) 1.63353 0.136602
\(144\) 6.40113 7.64689i 0.533427 0.637240i
\(145\) 9.74324 4.43510i 0.809132 0.368315i
\(146\) −3.55281 0.755173i −0.294033 0.0624986i
\(147\) 1.48148 + 12.0071i 0.122191 + 0.990330i
\(148\) −1.30402 + 12.4069i −0.107189 + 1.01984i
\(149\) −4.79434 8.30404i −0.392768 0.680294i 0.600046 0.799966i \(-0.295149\pi\)
−0.992813 + 0.119672i \(0.961816\pi\)
\(150\) 0.809747 2.82088i 0.0661156 0.230324i
\(151\) 10.6002 18.3600i 0.862628 1.49412i −0.00675530 0.999977i \(-0.502150\pi\)
0.869383 0.494138i \(-0.164516\pi\)
\(152\) 1.38724 + 1.00789i 0.112520 + 0.0817503i
\(153\) −11.6642 + 5.70608i −0.942997 + 0.461309i
\(154\) −0.00549626 0.0169157i −0.000442901 0.00136311i
\(155\) −9.92244 + 11.2054i −0.796989 + 0.900038i
\(156\) −12.4937 + 0.225456i −1.00030 + 0.0180509i
\(157\) −11.5818 20.0603i −0.924331 1.60099i −0.792634 0.609698i \(-0.791291\pi\)
−0.131697 0.991290i \(-0.542043\pi\)
\(158\) 2.13669 0.454168i 0.169986 0.0361317i
\(159\) 0.887234 10.2106i 0.0703622 0.809749i
\(160\) 7.70823 + 3.35565i 0.609389 + 0.265287i
\(161\) −0.794188 0.577012i −0.0625908 0.0454749i
\(162\) 1.14920 + 2.82515i 0.0902898 + 0.221965i
\(163\) −18.7433 + 13.6178i −1.46809 + 1.06663i −0.486931 + 0.873440i \(0.661884\pi\)
−0.981161 + 0.193191i \(0.938116\pi\)
\(164\) −10.9761 + 4.88687i −0.857088 + 0.381600i
\(165\) −1.31140 + 1.00659i −0.102092 + 0.0783629i
\(166\) −0.804379 0.358133i −0.0624319 0.0277965i
\(167\) 24.7422 5.25911i 1.91461 0.406962i 0.914609 0.404340i \(-0.132499\pi\)
0.999997 0.00262181i \(-0.000834550\pi\)
\(168\) 0.0914463 + 0.265071i 0.00705524 + 0.0204507i
\(169\) 1.10108 + 1.22288i 0.0846988 + 0.0940676i
\(170\) −2.21480 2.41915i −0.169867 0.185541i
\(171\) 3.50967 1.71691i 0.268391 0.131296i
\(172\) −2.03165 6.25279i −0.154912 0.476771i
\(173\) 0.922544 0.410743i 0.0701397 0.0312282i −0.371367 0.928486i \(-0.621111\pi\)
0.441507 + 0.897258i \(0.354444\pi\)
\(174\) −2.75876 0.534559i −0.209141 0.0405248i
\(175\) −0.418897 0.450002i −0.0316657 0.0340170i
\(176\) −0.709452 1.22881i −0.0534770 0.0926249i
\(177\) −7.69454 8.24162i −0.578357 0.619478i
\(178\) 2.00677 + 0.426553i 0.150414 + 0.0319715i
\(179\) 0.162849 + 0.501199i 0.0121719 + 0.0374614i 0.956958 0.290226i \(-0.0937306\pi\)
−0.944786 + 0.327688i \(0.893731\pi\)
\(180\) 9.89104 7.87969i 0.737234 0.587317i
\(181\) −4.02347 + 12.3830i −0.299062 + 0.920418i 0.682765 + 0.730638i \(0.260777\pi\)
−0.981827 + 0.189780i \(0.939223\pi\)
\(182\) 0.0797322 0.138100i 0.00591015 0.0102367i
\(183\) 17.1606 0.309672i 1.26854 0.0228916i
\(184\) 9.60264 + 4.27537i 0.707916 + 0.315185i
\(185\) −4.45584 + 14.1106i −0.327600 + 1.03743i
\(186\) 3.82761 0.886054i 0.280654 0.0649686i
\(187\) 0.193123 + 1.83744i 0.0141225 + 0.134367i
\(188\) 8.24569 5.99084i 0.601379 0.436927i
\(189\) 0.631227 + 0.0988309i 0.0459150 + 0.00718889i
\(190\) 0.666415 + 0.727904i 0.0483468 + 0.0528077i
\(191\) −0.991770 9.43606i −0.0717620 0.682770i −0.969974 0.243208i \(-0.921800\pi\)
0.898212 0.439562i \(-0.144866\pi\)
\(192\) 4.79887 + 7.97599i 0.346329 + 0.575618i
\(193\) 3.15356 + 5.46213i 0.226998 + 0.393173i 0.956917 0.290361i \(-0.0937754\pi\)
−0.729919 + 0.683534i \(0.760442\pi\)
\(194\) −4.63250 + 0.984667i −0.332594 + 0.0706950i
\(195\) −14.5739 2.69882i −1.04366 0.193267i
\(196\) −12.8799 2.73770i −0.919990 0.195550i
\(197\) −7.37768 22.7062i −0.525638 1.61775i −0.763052 0.646338i \(-0.776300\pi\)
0.237414 0.971409i \(-0.423700\pi\)
\(198\) 0.433671 0.0156568i 0.0308197 0.00111268i
\(199\) −2.41802 −0.171409 −0.0857044 0.996321i \(-0.527314\pi\)
−0.0857044 + 0.996321i \(0.527314\pi\)
\(200\) 5.38921 + 3.78061i 0.381075 + 0.267329i
\(201\) −13.1776 2.55339i −0.929473 0.180102i
\(202\) −0.612723 + 5.82967i −0.0431110 + 0.410174i
\(203\) −0.393897 + 0.437466i −0.0276461 + 0.0307041i
\(204\) −1.73066 14.0266i −0.121170 0.982059i
\(205\) −13.9148 + 3.07845i −0.971854 + 0.215008i
\(206\) 0.198763 0.611729i 0.0138485 0.0426212i
\(207\) 18.8563 14.7680i 1.31060 1.02645i
\(208\) 3.93111 12.0987i 0.272573 0.838894i
\(209\) −0.0581090 0.552870i −0.00401948 0.0382428i
\(210\) 0.0210890 + 0.159999i 0.00145528 + 0.0110410i
\(211\) −0.495614 + 4.71546i −0.0341195 + 0.324625i 0.964127 + 0.265440i \(0.0855171\pi\)
−0.998247 + 0.0591858i \(0.981150\pi\)
\(212\) 10.1906 + 4.53715i 0.699894 + 0.311613i
\(213\) −0.628246 + 7.23004i −0.0430467 + 0.495394i
\(214\) 1.72845 0.769556i 0.118155 0.0526058i
\(215\) −0.879409 7.74864i −0.0599752 0.528453i
\(216\) −6.83129 + 0.370145i −0.464810 + 0.0251852i
\(217\) 0.254331 0.782749i 0.0172651 0.0531365i
\(218\) −2.16217 + 3.74500i −0.146441 + 0.253643i
\(219\) −9.57073 15.9071i −0.646730 1.07490i
\(220\) −0.570183 1.70658i −0.0384417 0.115058i
\(221\) −11.0838 + 12.3098i −0.745577 + 0.828047i
\(222\) 3.10074 2.33944i 0.208108 0.157013i
\(223\) −12.1303 + 5.40074i −0.812302 + 0.361660i −0.770479 0.637465i \(-0.779983\pi\)
−0.0418228 + 0.999125i \(0.513316\pi\)
\(224\) −0.462293 −0.0308883
\(225\) 13.3630 6.81393i 0.890868 0.454262i
\(226\) 0.225124 0.0149750
\(227\) 3.56436 1.58696i 0.236575 0.105330i −0.285025 0.958520i \(-0.592002\pi\)
0.521600 + 0.853190i \(0.325335\pi\)
\(228\) 0.520740 + 4.22049i 0.0344869 + 0.279509i
\(229\) 12.2021 13.5518i 0.806336 0.895527i −0.189936 0.981797i \(-0.560828\pi\)
0.996272 + 0.0862695i \(0.0274946\pi\)
\(230\) 4.92365 + 3.51526i 0.324656 + 0.231789i
\(231\) 0.0440256 0.0795350i 0.00289667 0.00523302i
\(232\) 3.15164 5.45879i 0.206915 0.358387i
\(233\) −5.62835 + 17.3223i −0.368725 + 1.13482i 0.578890 + 0.815406i \(0.303486\pi\)
−0.947615 + 0.319414i \(0.896514\pi\)
\(234\) 2.70598 + 2.79551i 0.176895 + 0.182748i
\(235\) 11.0031 5.00859i 0.717765 0.326725i
\(236\) 11.2109 4.99143i 0.729770 0.324914i
\(237\) 9.14943 + 6.39845i 0.594319 + 0.415624i
\(238\) 0.164765 + 0.0733583i 0.0106802 + 0.00475511i
\(239\) 0.751438 7.14945i 0.0486065 0.462460i −0.942964 0.332894i \(-0.891975\pi\)
0.991571 0.129566i \(-0.0413584\pi\)
\(240\) 4.29939 + 12.1352i 0.277525 + 0.783326i
\(241\) −2.06473 19.6446i −0.133001 1.26542i −0.833803 0.552062i \(-0.813841\pi\)
0.700802 0.713355i \(-0.252825\pi\)
\(242\) −1.13284 + 3.48653i −0.0728219 + 0.224123i
\(243\) −6.54624 + 14.1473i −0.419941 + 0.907551i
\(244\) −5.77260 + 17.7662i −0.369553 + 1.13737i
\(245\) −14.3205 6.23420i −0.914905 0.398289i
\(246\) 3.44440 + 1.45966i 0.219607 + 0.0930646i
\(247\) 3.33502 3.70392i 0.212202 0.235675i
\(248\) −0.921183 + 8.76447i −0.0584952 + 0.556544i
\(249\) −1.46767 4.25426i −0.0930098 0.269603i
\(250\) 2.60444 + 2.75173i 0.164719 + 0.174035i
\(251\) −19.5044 −1.23111 −0.615554 0.788095i \(-0.711068\pi\)
−0.615554 + 0.788095i \(0.711068\pi\)
\(252\) −0.325743 + 0.614383i −0.0205199 + 0.0387025i
\(253\) −1.05307 3.24103i −0.0662062 0.203762i
\(254\) 0.488702 + 0.103877i 0.0306639 + 0.00651781i
\(255\) 1.31272 16.7122i 0.0822057 1.04656i
\(256\) −7.41729 + 1.57659i −0.463581 + 0.0985371i
\(257\) −4.74368 8.21630i −0.295903 0.512518i 0.679292 0.733868i \(-0.262287\pi\)
−0.975194 + 0.221350i \(0.928954\pi\)
\(258\) −0.991373 + 1.79098i −0.0617202 + 0.111501i
\(259\) −0.0850545 0.809240i −0.00528503 0.0502837i
\(260\) 7.94988 14.0370i 0.493031 0.870539i
\(261\) −7.62534 12.1711i −0.471997 0.753372i
\(262\) 5.20225 3.77965i 0.321396 0.233508i
\(263\) −1.59141 15.1412i −0.0981304 0.933648i −0.927216 0.374527i \(-0.877805\pi\)
0.829086 0.559122i \(-0.188861\pi\)
\(264\) −0.284045 + 0.931035i −0.0174818 + 0.0573013i
\(265\) 10.7686 + 7.68825i 0.661507 + 0.472286i
\(266\) −0.0495766 0.0220729i −0.00303974 0.00135338i
\(267\) 5.40594 + 8.98498i 0.330838 + 0.549872i
\(268\) 7.30459 12.6519i 0.446199 0.772839i
\(269\) −8.06733 + 24.8287i −0.491874 + 1.51383i 0.329898 + 0.944016i \(0.392986\pi\)
−0.821772 + 0.569816i \(0.807014\pi\)
\(270\) −3.89498 0.576801i −0.237041 0.0351030i
\(271\) −4.05570 12.4822i −0.246366 0.758237i −0.995409 0.0957154i \(-0.969486\pi\)
0.749042 0.662522i \(-0.230514\pi\)
\(272\) 14.0737 + 2.99146i 0.853345 + 0.181384i
\(273\) 0.794037 0.183812i 0.0480573 0.0111248i
\(274\) −0.799391 1.38459i −0.0482930 0.0836459i
\(275\) −0.258243 2.11856i −0.0155726 0.127754i
\(276\) 8.50154 + 24.6430i 0.511733 + 1.48333i
\(277\) −22.8803 + 10.1870i −1.37475 + 0.612077i −0.955282 0.295695i \(-0.904449\pi\)
−0.419464 + 0.907772i \(0.637782\pi\)
\(278\) −1.65360 5.08925i −0.0991762 0.305233i
\(279\) 16.6608 + 11.2092i 0.997453 + 0.671079i
\(280\) −0.354698 0.0723259i −0.0211973 0.00432230i
\(281\) 5.41095 + 6.00947i 0.322790 + 0.358495i 0.882599 0.470127i \(-0.155792\pi\)
−0.559808 + 0.828622i \(0.689125\pi\)
\(282\) −3.11549 0.603682i −0.185525 0.0359488i
\(283\) −7.85414 + 1.66945i −0.466880 + 0.0992385i −0.435344 0.900264i \(-0.643373\pi\)
−0.0315362 + 0.999503i \(0.510040\pi\)
\(284\) −7.21592 3.21273i −0.428186 0.190641i
\(285\) −0.394987 + 5.02858i −0.0233970 + 0.297867i
\(286\) 0.505714 0.225158i 0.0299035 0.0133139i
\(287\) 0.634000 0.460628i 0.0374238 0.0271900i
\(288\) 3.09615 10.8459i 0.182442 0.639099i
\(289\) −1.40351 1.01971i −0.0825595 0.0599830i
\(290\) 2.40504 2.71600i 0.141229 0.159489i
\(291\) −19.8366 13.8723i −1.16284 0.813207i
\(292\) 19.7638 4.20093i 1.15659 0.245841i
\(293\) −6.09056 10.5492i −0.355814 0.616288i 0.631443 0.775423i \(-0.282463\pi\)
−0.987257 + 0.159134i \(0.949130\pi\)
\(294\) 2.11365 + 3.51301i 0.123271 + 0.204883i
\(295\) 14.2126 3.14432i 0.827487 0.183069i
\(296\) 2.69240 + 8.28636i 0.156493 + 0.481635i
\(297\) 1.57112 + 1.56556i 0.0911654 + 0.0908431i
\(298\) −2.62885 1.90997i −0.152285 0.110642i
\(299\) 15.2766 26.4598i 0.883467 1.53021i
\(300\) 2.26752 + 16.1677i 0.130915 + 0.933444i
\(301\) 0.214414 + 0.371375i 0.0123586 + 0.0214057i
\(302\) 0.750974 7.14504i 0.0432137 0.411151i
\(303\) −23.9164 + 18.0445i −1.37396 + 1.03663i
\(304\) −4.23467 0.900106i −0.242875 0.0516246i
\(305\) −10.9195 + 19.2804i −0.625247 + 1.10399i
\(306\) −2.82456 + 3.37426i −0.161469 + 0.192894i
\(307\) 24.0437 1.37225 0.686124 0.727485i \(-0.259311\pi\)
0.686124 + 0.727485i \(0.259311\pi\)
\(308\) 0.0662057 + 0.0735288i 0.00377242 + 0.00418969i
\(309\) 2.97866 1.39111i 0.169450 0.0791377i
\(310\) −1.52733 + 4.83667i −0.0867463 + 0.274705i
\(311\) −1.78299 + 16.9640i −0.101104 + 0.961942i 0.819931 + 0.572462i \(0.194012\pi\)
−0.921035 + 0.389479i \(0.872655\pi\)
\(312\) −7.90727 + 3.69291i −0.447661 + 0.209070i
\(313\) 0.995689 + 9.47335i 0.0562797 + 0.535465i 0.985946 + 0.167063i \(0.0534284\pi\)
−0.929667 + 0.368402i \(0.879905\pi\)
\(314\) −6.35058 4.61397i −0.358384 0.260381i
\(315\) −0.524189 + 0.636855i −0.0295347 + 0.0358827i
\(316\) −9.83094 + 7.14259i −0.553033 + 0.401802i
\(317\) −2.07800 2.30786i −0.116712 0.129622i 0.681957 0.731392i \(-0.261129\pi\)
−0.798669 + 0.601770i \(0.794462\pi\)
\(318\) −1.13271 3.28332i −0.0635190 0.184119i
\(319\) −1.99888 + 0.424875i −0.111916 + 0.0237884i
\(320\) −12.0166 + 0.0996046i −0.671750 + 0.00556807i
\(321\) 8.90377 + 3.77322i 0.496960 + 0.210601i
\(322\) −0.325401 0.0691661i −0.0181339 0.00385448i
\(323\) 4.56056 + 3.31344i 0.253756 + 0.184365i
\(324\) −12.2324 11.7570i −0.679579 0.653168i
\(325\) 12.5662 14.4302i 0.697046 0.800442i
\(326\) −3.92562 + 6.79937i −0.217420 + 0.376582i
\(327\) −21.5326 + 4.98459i −1.19076 + 0.275649i
\(328\) −5.61484 + 6.23591i −0.310028 + 0.344321i
\(329\) −0.444831 + 0.494035i −0.0245243 + 0.0272370i
\(330\) −0.267245 + 0.492382i −0.0147113 + 0.0271047i
\(331\) 12.9126 + 14.3409i 0.709743 + 0.788249i 0.984895 0.173151i \(-0.0553949\pi\)
−0.275152 + 0.961401i \(0.588728\pi\)
\(332\) 4.89813 0.268820
\(333\) 19.5552 + 3.42432i 1.07162 + 0.187651i
\(334\) 6.93489 5.03849i 0.379460 0.275694i
\(335\) 11.4879 12.9733i 0.627654 0.708808i
\(336\) −0.483127 0.517477i −0.0263567 0.0282307i
\(337\) −5.82074 2.59156i −0.317076 0.141171i 0.242027 0.970270i \(-0.422188\pi\)
−0.559103 + 0.829098i \(0.688854\pi\)
\(338\) 0.509435 + 0.226815i 0.0277096 + 0.0123371i
\(339\) 0.785221 + 0.841050i 0.0426473 + 0.0456796i
\(340\) 16.7291 + 7.28274i 0.907264 + 0.394962i
\(341\) 2.31145 1.67937i 0.125172 0.0909429i
\(342\) 0.849886 1.01529i 0.0459566 0.0549004i
\(343\) 1.71958 0.0928484
\(344\) −3.07247 3.41233i −0.165657 0.183980i
\(345\) 4.04063 + 30.6555i 0.217540 + 1.65044i
\(346\) 0.228990 0.254319i 0.0123106 0.0136723i
\(347\) −19.2039 + 21.3280i −1.03092 + 1.14495i −0.0416050 + 0.999134i \(0.513247\pi\)
−0.989312 + 0.145815i \(0.953420\pi\)
\(348\) 15.2294 3.52545i 0.816380 0.188984i
\(349\) 5.47421 9.48161i 0.293028 0.507539i −0.681496 0.731821i \(-0.738671\pi\)
0.974524 + 0.224283i \(0.0720038\pi\)
\(350\) −0.191710 0.0815745i −0.0102473 0.00436034i
\(351\) −1.00555 + 19.8600i −0.0536724 + 1.06005i
\(352\) −1.29833 0.943294i −0.0692014 0.0502777i
\(353\) 2.12687 + 0.452080i 0.113202 + 0.0240618i 0.264164 0.964478i \(-0.414904\pi\)
−0.150962 + 0.988540i \(0.548237\pi\)
\(354\) −3.51810 1.49089i −0.186985 0.0792401i
\(355\) −7.62515 5.44401i −0.404701 0.288938i
\(356\) −11.1634 + 2.37286i −0.591660 + 0.125761i
\(357\) 0.300631 + 0.871425i 0.0159111 + 0.0461207i
\(358\) 0.119499 + 0.132717i 0.00631570 + 0.00701430i
\(359\) 17.1324 12.4474i 0.904214 0.656950i −0.0353305 0.999376i \(-0.511248\pi\)
0.939545 + 0.342425i \(0.111248\pi\)
\(360\) 4.07239 7.83719i 0.214634 0.413056i
\(361\) 13.9991 + 10.1709i 0.736794 + 0.535312i
\(362\) 0.461213 + 4.38815i 0.0242408 + 0.230636i
\(363\) −16.9768 + 7.92861i −0.891051 + 0.416144i
\(364\) −0.0927252 + 0.882222i −0.00486012 + 0.0462410i
\(365\) 23.9656 0.198649i 1.25442 0.0103977i
\(366\) 5.26995 2.46121i 0.275465 0.128649i
\(367\) 11.5987 + 12.8816i 0.605446 + 0.672416i 0.965466 0.260528i \(-0.0838968\pi\)
−0.360020 + 0.932945i \(0.617230\pi\)
\(368\) −26.5389 −1.38344
\(369\) 6.56067 + 17.9593i 0.341535 + 0.934923i
\(370\) 0.565484 + 4.98259i 0.0293981 + 0.259032i
\(371\) −0.711687 0.151274i −0.0369489 0.00785374i
\(372\) −17.4469 + 13.1633i −0.904579 + 0.682486i
\(373\) −2.46255 + 23.4296i −0.127506 + 1.21314i 0.724375 + 0.689406i \(0.242128\pi\)
−0.851882 + 0.523734i \(0.824538\pi\)
\(374\) 0.313052 + 0.542223i 0.0161876 + 0.0280377i
\(375\) −1.19618 + 19.3279i −0.0617707 + 0.998090i
\(376\) 3.55917 6.16466i 0.183550 0.317918i
\(377\) −14.8224 10.7691i −0.763393 0.554638i
\(378\) 0.209040 0.0564092i 0.0107519 0.00290137i
\(379\) 3.41562 + 10.5122i 0.175449 + 0.539976i 0.999654 0.0263158i \(-0.00837755\pi\)
−0.824205 + 0.566292i \(0.808378\pi\)
\(380\) −5.03365 2.19132i −0.258221 0.112412i
\(381\) 1.31649 + 2.18808i 0.0674458 + 0.112099i
\(382\) −1.60766 2.78455i −0.0822552 0.142470i
\(383\) −12.8825 + 2.73825i −0.658263 + 0.139918i −0.524920 0.851152i \(-0.675905\pi\)
−0.133343 + 0.991070i \(0.542571\pi\)
\(384\) 13.2581 + 9.27176i 0.676575 + 0.473148i
\(385\) 0.0595206 + 0.101147i 0.00303345 + 0.00515494i
\(386\) 1.72917 + 1.25632i 0.0880125 + 0.0639448i
\(387\) −10.1488 + 2.54312i −0.515895 + 0.129274i
\(388\) 21.3141 15.4856i 1.08206 0.786163i
\(389\) −1.81186 + 0.806690i −0.0918647 + 0.0409008i −0.452155 0.891940i \(-0.649344\pi\)
0.360290 + 0.932840i \(0.382678\pi\)
\(390\) −4.88385 + 1.17330i −0.247304 + 0.0594122i
\(391\) 31.5688 + 14.0553i 1.59650 + 0.710809i
\(392\) −8.99541 + 1.91203i −0.454337 + 0.0965722i
\(393\) 32.2657 + 6.25206i 1.62759 + 0.315375i
\(394\) −5.41373 6.01256i −0.272740 0.302908i
\(395\) −13.1185 + 5.97150i −0.660063 + 0.300459i
\(396\) −2.16847 + 1.06080i −0.108970 + 0.0533073i
\(397\) 2.33072 + 7.17321i 0.116975 + 0.360013i 0.992354 0.123425i \(-0.0393879\pi\)
−0.875379 + 0.483438i \(0.839388\pi\)
\(398\) −0.748580 + 0.333290i −0.0375229 + 0.0167063i
\(399\) −0.0904574 0.262205i −0.00452854 0.0131266i
\(400\) −16.3126 3.18567i −0.815628 0.159284i
\(401\) −12.4405 21.5475i −0.621247 1.07603i −0.989254 0.146208i \(-0.953293\pi\)
0.368007 0.929823i \(-0.380040\pi\)
\(402\) −4.43151 + 1.02585i −0.221024 + 0.0511648i
\(403\) 25.0560 + 5.32581i 1.24813 + 0.265297i
\(404\) −10.0765 31.0124i −0.501326 1.54292i
\(405\) −11.4306 16.5633i −0.567990 0.823035i
\(406\) −0.0616456 + 0.189726i −0.00305942 + 0.00941593i
\(407\) 1.41236 2.44627i 0.0700079 0.121257i
\(408\) −5.08872 8.45774i −0.251929 0.418721i
\(409\) −0.705825 0.314253i −0.0349008 0.0155388i 0.389212 0.921148i \(-0.372747\pi\)
−0.424113 + 0.905609i \(0.639414\pi\)
\(410\) −3.88349 + 2.87100i −0.191792 + 0.141789i
\(411\) 2.38450 7.81584i 0.117619 0.385527i
\(412\) 0.374013 + 3.55850i 0.0184263 + 0.175315i
\(413\) −0.647566 + 0.470484i −0.0318646 + 0.0231510i
\(414\) 3.80204 7.17101i 0.186860 0.352436i
\(415\) 5.69274 + 1.16080i 0.279445 + 0.0569813i
\(416\) −1.50398 14.3094i −0.0737387 0.701577i
\(417\) 13.2455 23.9288i 0.648635 1.17180i
\(418\) −0.0941949 0.163150i −0.00460722 0.00797995i
\(419\) 15.8947 3.37853i 0.776508 0.165052i 0.197422 0.980319i \(-0.436743\pi\)
0.579086 + 0.815267i \(0.303410\pi\)
\(420\) −0.469191 0.765388i −0.0228942 0.0373471i
\(421\) −34.5725 7.34862i −1.68496 0.358150i −0.736843 0.676064i \(-0.763684\pi\)
−0.948119 + 0.317914i \(0.897018\pi\)
\(422\) 0.496524 + 1.52814i 0.0241704 + 0.0743889i
\(423\) −8.61136 13.7449i −0.418699 0.668301i
\(424\) 7.79075 0.378352
\(425\) 17.7171 + 12.4288i 0.859406 + 0.602885i
\(426\) 0.802063 + 2.32490i 0.0388601 + 0.112642i
\(427\) 0.127362 1.21176i 0.00616346 0.0586414i
\(428\) −7.04267 + 7.82168i −0.340420 + 0.378075i
\(429\) 2.60508 + 1.10398i 0.125775 + 0.0533006i
\(430\) −1.34029 2.27764i −0.0646346 0.109838i
\(431\) 7.49818 23.0770i 0.361175 1.11158i −0.591167 0.806549i \(-0.701333\pi\)
0.952342 0.305033i \(-0.0986674\pi\)
\(432\) 15.3762 7.86891i 0.739789 0.378593i
\(433\) 5.46825 16.8296i 0.262788 0.808777i −0.729407 0.684080i \(-0.760204\pi\)
0.992195 0.124697i \(-0.0397960\pi\)
\(434\) −0.0291541 0.277383i −0.00139944 0.0133148i
\(435\) 18.5355 0.488195i 0.888708 0.0234072i
\(436\) 2.51452 23.9240i 0.120424 1.14575i
\(437\) −9.49880 4.22914i −0.454389 0.202307i
\(438\) −5.15551 3.60540i −0.246340 0.172273i
\(439\) −20.8316 + 9.27485i −0.994240 + 0.442664i −0.838363 0.545112i \(-0.816487\pi\)
−0.155877 + 0.987776i \(0.549820\pi\)
\(440\) −0.848578 0.926875i −0.0404544 0.0441870i
\(441\) −5.75210 + 20.1497i −0.273909 + 0.959510i
\(442\) −1.73464 + 5.33866i −0.0825083 + 0.253934i
\(443\) 2.91266 5.04488i 0.138385 0.239690i −0.788501 0.615034i \(-0.789142\pi\)
0.926885 + 0.375344i \(0.122476\pi\)
\(444\) −10.4645 + 18.9047i −0.496622 + 0.897178i
\(445\) −13.5368 + 0.112205i −0.641705 + 0.00531902i
\(446\) −3.01092 + 3.34397i −0.142571 + 0.158341i
\(447\) −2.03375 16.4831i −0.0961930 0.779624i
\(448\) 0.603678 0.268775i 0.0285211 0.0126984i
\(449\) −3.53148 −0.166661 −0.0833305 0.996522i \(-0.526556\pi\)
−0.0833305 + 0.996522i \(0.526556\pi\)
\(450\) 3.19778 3.95139i 0.150745 0.186270i
\(451\) 2.72046 0.128102
\(452\) −1.14407 + 0.509371i −0.0538123 + 0.0239588i
\(453\) 29.3128 22.1160i 1.37724 1.03910i
\(454\) 0.884731 0.982593i 0.0415225 0.0461154i
\(455\) −0.316844 + 1.00337i −0.0148539 + 0.0470386i
\(456\) 1.53115 + 2.54486i 0.0717029 + 0.119174i
\(457\) 1.60834 2.78572i 0.0752349 0.130311i −0.825953 0.563738i \(-0.809363\pi\)
0.901188 + 0.433428i \(0.142696\pi\)
\(458\) 1.90965 5.87730i 0.0892321 0.274628i
\(459\) −22.4580 + 1.21686i −1.04825 + 0.0567981i
\(460\) −32.9754 6.72396i −1.53749 0.313506i
\(461\) 14.5922 6.49685i 0.679625 0.302588i −0.0377386 0.999288i \(-0.512015\pi\)
0.717363 + 0.696699i \(0.245349\pi\)
\(462\) 0.00266686 0.0306911i 0.000124074 0.00142788i
\(463\) −11.7609 5.23629i −0.546575 0.243351i 0.114823 0.993386i \(-0.463370\pi\)
−0.661398 + 0.750035i \(0.730037\pi\)
\(464\) −1.66350 + 15.8271i −0.0772261 + 0.734757i
\(465\) −23.3968 + 11.1641i −1.08500 + 0.517721i
\(466\) 0.645181 + 6.13849i 0.0298874 + 0.284360i
\(467\) −3.12523 + 9.61848i −0.144619 + 0.445090i −0.996962 0.0778927i \(-0.975181\pi\)
0.852343 + 0.522983i \(0.175181\pi\)
\(468\) −20.0768 8.08400i −0.928051 0.373683i
\(469\) −0.294458 + 0.906248i −0.0135968 + 0.0418466i
\(470\) 2.71603 3.06720i 0.125281 0.141480i
\(471\) −4.91298 39.8187i −0.226378 1.83475i
\(472\) 5.73498 6.36934i 0.263974 0.293173i
\(473\) −0.155607 + 1.48050i −0.00715480 + 0.0680733i
\(474\) 3.71445 + 0.719741i 0.170610 + 0.0330588i
\(475\) −5.33093 3.73972i −0.244600 0.171590i
\(476\) −1.00331 −0.0459867
\(477\) 8.31547 15.6838i 0.380739 0.718111i
\(478\) −0.752817 2.31693i −0.0344330 0.105974i
\(479\) 12.2773 + 2.60961i 0.560962 + 0.119236i 0.479662 0.877453i \(-0.340759\pi\)
0.0813004 + 0.996690i \(0.474093\pi\)
\(480\) 10.0250 + 10.5609i 0.457574 + 0.482036i
\(481\) 24.7718 5.26541i 1.12950 0.240082i
\(482\) −3.34693 5.79705i −0.152448 0.264048i
\(483\) −0.876581 1.45693i −0.0398858 0.0662925i
\(484\) −2.13168 20.2816i −0.0968944 0.921889i
\(485\) 28.4418 12.9466i 1.29147 0.587876i
\(486\) −0.0766043 + 5.28209i −0.00347484 + 0.239601i
\(487\) −11.3262 + 8.22898i −0.513240 + 0.372891i −0.814051 0.580793i \(-0.802743\pi\)
0.300811 + 0.953684i \(0.402743\pi\)
\(488\) 1.36375 + 12.9752i 0.0617339 + 0.587358i
\(489\) −39.0944 + 9.04997i −1.76791 + 0.409254i
\(490\) −5.29270 + 0.0438707i −0.239100 + 0.00198188i
\(491\) 21.1245 + 9.40525i 0.953337 + 0.424453i 0.823648 0.567102i \(-0.191935\pi\)
0.129689 + 0.991555i \(0.458602\pi\)
\(492\) −20.8069 + 0.375472i −0.938047 + 0.0169276i
\(493\) 10.3610 17.9459i 0.466638 0.808241i
\(494\) 0.521938 1.60636i 0.0234831 0.0722736i
\(495\) −2.77165 + 0.718993i −0.124576 + 0.0323163i
\(496\) −6.87568 21.1612i −0.308727 0.950165i
\(497\) 0.503942 + 0.107116i 0.0226049 + 0.00480481i
\(498\) −1.04076 1.11476i −0.0466374 0.0499534i
\(499\) 12.0848 + 20.9314i 0.540988 + 0.937019i 0.998848 + 0.0479947i \(0.0152831\pi\)
−0.457859 + 0.889025i \(0.651384\pi\)
\(500\) −19.4617 8.09129i −0.870355 0.361853i
\(501\) 43.0120 + 8.33435i 1.92164 + 0.372351i
\(502\) −6.03825 + 2.68840i −0.269500 + 0.119989i
\(503\) −11.4270 35.1686i −0.509503 1.56809i −0.793066 0.609136i \(-0.791516\pi\)
0.283563 0.958954i \(-0.408484\pi\)
\(504\) −0.0333066 + 0.484527i −0.00148359 + 0.0215825i
\(505\) −4.36166 38.4314i −0.194091 1.71018i
\(506\) −0.772745 0.858220i −0.0343527 0.0381526i
\(507\) 0.929515 + 2.69434i 0.0412812 + 0.119660i
\(508\) −2.71859 + 0.577854i −0.120618 + 0.0256381i
\(509\) 14.0221 + 6.24303i 0.621517 + 0.276717i 0.693239 0.720707i \(-0.256183\pi\)
−0.0717222 + 0.997425i \(0.522850\pi\)
\(510\) −1.89715 5.35479i −0.0840071 0.237114i
\(511\) −1.20396 + 0.536037i −0.0532600 + 0.0237129i
\(512\) −17.1924 + 12.4910i −0.759806 + 0.552031i
\(513\) 6.75741 0.366142i 0.298347 0.0161656i
\(514\) −2.60107 1.88979i −0.114728 0.0833549i
\(515\) −0.408633 + 4.22442i −0.0180065 + 0.186150i
\(516\) 0.985789 11.3447i 0.0433969 0.499425i
\(517\) −2.25735 + 0.479815i −0.0992783 + 0.0211022i
\(518\) −0.137874 0.238804i −0.00605782 0.0104925i
\(519\) 1.74883 0.0315586i 0.0767650 0.00138527i
\(520\) 1.08477 11.2143i 0.0475704 0.491780i
\(521\) 12.3143 + 37.8996i 0.539501 + 1.66041i 0.733718 + 0.679454i \(0.237783\pi\)
−0.194217 + 0.980959i \(0.562217\pi\)
\(522\) −4.03830 2.71693i −0.176751 0.118917i
\(523\) −12.7772 9.28318i −0.558708 0.405925i 0.272278 0.962219i \(-0.412223\pi\)
−0.830986 + 0.556293i \(0.812223\pi\)
\(524\) −17.8856 + 30.9787i −0.781335 + 1.35331i
\(525\) −0.363918 1.00075i −0.0158827 0.0436762i
\(526\) −2.57968 4.46813i −0.112479 0.194820i
\(527\) −3.02840 + 28.8133i −0.131919 + 1.25513i
\(528\) −0.300948 2.43912i −0.0130971 0.106149i
\(529\) −39.8489 8.47015i −1.73256 0.368267i
\(530\) 4.39349 + 0.895869i 0.190841 + 0.0389141i
\(531\) −6.70105 18.3436i −0.290801 0.796043i
\(532\) 0.301888 0.0130885
\(533\) 16.3205 + 18.1257i 0.706918 + 0.785112i
\(534\) 2.91205 + 2.03648i 0.126017 + 0.0881269i
\(535\) −10.0388 + 7.42154i −0.434016 + 0.320861i
\(536\) 1.06652 10.1473i 0.0460667 0.438296i
\(537\) −0.0790169 + 0.909350i −0.00340983 + 0.0392413i
\(538\) 0.924764 + 8.79854i 0.0398694 + 0.379332i
\(539\) 2.41207 + 1.75247i 0.103895 + 0.0754844i
\(540\) 21.0991 5.88161i 0.907962 0.253104i
\(541\) −31.8454 + 23.1370i −1.36914 + 0.994738i −0.371335 + 0.928499i \(0.621100\pi\)
−0.997804 + 0.0662387i \(0.978900\pi\)
\(542\) −2.97607 3.30526i −0.127833 0.141973i
\(543\) −14.7852 + 17.0287i −0.634493 + 0.730771i
\(544\) 15.9178 3.38344i 0.682472 0.145064i
\(545\) 8.59215 27.2092i 0.368047 1.16552i
\(546\) 0.220485 0.166352i 0.00943590 0.00711920i
\(547\) 13.9548 + 2.96619i 0.596666 + 0.126825i 0.496338 0.868129i \(-0.334678\pi\)
0.100328 + 0.994954i \(0.468011\pi\)
\(548\) 7.19526 + 5.22766i 0.307366 + 0.223315i
\(549\) 27.5763 + 11.1037i 1.17693 + 0.473893i
\(550\) −0.371961 0.620278i −0.0158605 0.0264487i
\(551\) −3.11755 + 5.39976i −0.132812 + 0.230038i
\(552\) 12.4245 + 13.3079i 0.528822 + 0.566422i
\(553\) 0.530350 0.589014i 0.0225528 0.0250474i
\(554\) −5.67926 + 6.30746i −0.241289 + 0.267978i
\(555\) −16.6423 + 19.4916i −0.706426 + 0.827373i
\(556\) 19.9186 + 22.1218i 0.844735 + 0.938173i
\(557\) 15.7210 0.666119 0.333060 0.942906i \(-0.391919\pi\)
0.333060 + 0.942906i \(0.391919\pi\)
\(558\) 6.70294 + 1.17375i 0.283758 + 0.0496888i
\(559\) −10.7977 + 7.84497i −0.456693 + 0.331807i
\(560\) 0.892382 0.197426i 0.0377100 0.00834279i
\(561\) −0.933803 + 3.06079i −0.0394252 + 0.129227i
\(562\) 2.50347 + 1.11461i 0.105602 + 0.0470172i
\(563\) 37.1944 + 16.5600i 1.56756 + 0.697921i 0.992731 0.120356i \(-0.0384036\pi\)
0.574825 + 0.818277i \(0.305070\pi\)
\(564\) 17.1987 3.98132i 0.724194 0.167644i
\(565\) −1.45038 + 0.320875i −0.0610179 + 0.0134993i
\(566\) −2.20141 + 1.59942i −0.0925321 + 0.0672285i
\(567\) 0.939863 + 0.584210i 0.0394706 + 0.0245345i
\(568\) −5.51659 −0.231471
\(569\) 8.75999 + 9.72896i 0.367238 + 0.407859i 0.898236 0.439514i \(-0.144849\pi\)
−0.530998 + 0.847373i \(0.678183\pi\)
\(570\) 0.570836 + 1.61121i 0.0239097 + 0.0674862i
\(571\) −6.77500 + 7.52440i −0.283525 + 0.314886i −0.868038 0.496498i \(-0.834619\pi\)
0.584513 + 0.811384i \(0.301286\pi\)
\(572\) −2.06056 + 2.28848i −0.0861563 + 0.0956863i
\(573\) 4.79549 15.7185i 0.200334 0.656651i
\(574\) 0.132785 0.229991i 0.00554236 0.00959964i
\(575\) −36.7314 15.6295i −1.53181 0.651797i
\(576\) 2.26267 + 15.9630i 0.0942781 + 0.665125i
\(577\) 24.7873 + 18.0090i 1.03191 + 0.749725i 0.968690 0.248275i \(-0.0798635\pi\)
0.0632185 + 0.998000i \(0.479863\pi\)
\(578\) −0.575057 0.122232i −0.0239192 0.00508419i
\(579\) 1.33773 + 10.8420i 0.0555943 + 0.450580i
\(580\) −6.07696 + 19.2443i −0.252332 + 0.799074i
\(581\) −0.312499 + 0.0664238i −0.0129647 + 0.00275572i
\(582\) −8.05318 1.56045i −0.333815 0.0646826i
\(583\) −1.69008 1.87702i −0.0699959 0.0777383i
\(584\) 11.4165 8.29459i 0.472419 0.343233i
\(585\) −21.4180 14.1534i −0.885525 0.585171i
\(586\) −3.33959 2.42636i −0.137957 0.100232i
\(587\) −3.51107 33.4056i −0.144917 1.37880i −0.789259 0.614060i \(-0.789535\pi\)
0.644342 0.764738i \(-0.277131\pi\)
\(588\) −18.6901 13.0705i −0.770767 0.539019i
\(589\) 0.911221 8.66969i 0.0375462 0.357228i
\(590\) 3.96658 2.93243i 0.163302 0.120726i
\(591\) 3.57976 41.1969i 0.147251 1.69461i
\(592\) −14.7194 16.3476i −0.604965 0.671881i
\(593\) 21.1167 0.867157 0.433579 0.901116i \(-0.357251\pi\)
0.433579 + 0.901116i \(0.357251\pi\)
\(594\) 0.702183 + 0.268117i 0.0288109 + 0.0110010i
\(595\) −1.16608 0.237773i −0.0478044 0.00974772i
\(596\) 17.6812 + 3.75825i 0.724250 + 0.153944i
\(597\) −3.85616 1.63416i −0.157822 0.0668816i
\(598\) 1.08228 10.2972i 0.0442577 0.421084i
\(599\) 21.7688 + 37.7046i 0.889448 + 1.54057i 0.840529 + 0.541766i \(0.182244\pi\)
0.0489185 + 0.998803i \(0.484423\pi\)
\(600\) 6.03947 + 9.67132i 0.246561 + 0.394830i
\(601\) 13.1713 22.8133i 0.537267 0.930574i −0.461783 0.886993i \(-0.652790\pi\)
0.999050 0.0435807i \(-0.0138766\pi\)
\(602\) 0.117568 + 0.0854180i 0.00479171 + 0.00348138i
\(603\) −19.2894 12.9778i −0.785525 0.528495i
\(604\) 12.3502 + 38.0099i 0.502521 + 1.54660i
\(605\) 2.32899 24.0770i 0.0946869 0.978867i
\(606\) −4.91698 + 8.88283i −0.199739 + 0.360840i
\(607\) 8.37714 + 14.5096i 0.340018 + 0.588928i 0.984436 0.175746i \(-0.0562336\pi\)
−0.644418 + 0.764673i \(0.722900\pi\)
\(608\) −4.78955 + 1.01805i −0.194242 + 0.0412874i
\(609\) −0.923821 + 0.431449i −0.0374351 + 0.0174832i
\(610\) −0.722967 + 7.47399i −0.0292721 + 0.302613i
\(611\) −16.7391 12.1617i −0.677191 0.492008i
\(612\) 6.71955 23.5387i 0.271622 0.951496i
\(613\) −12.7046 + 9.23044i −0.513134 + 0.372814i −0.814011 0.580849i \(-0.802721\pi\)
0.300877 + 0.953663i \(0.402721\pi\)
\(614\) 7.44355 3.31408i 0.300397 0.133746i
\(615\) −24.2713 4.49459i −0.978714 0.181240i
\(616\) 0.0631283 + 0.0281065i 0.00254351 + 0.00113244i
\(617\) −7.79445 + 1.65676i −0.313793 + 0.0666987i −0.362116 0.932133i \(-0.617946\pi\)
0.0483232 + 0.998832i \(0.484612\pi\)
\(618\) 0.730401 0.841233i 0.0293810 0.0338393i
\(619\) −14.5683 16.1797i −0.585550 0.650319i 0.375458 0.926839i \(-0.377485\pi\)
−0.961008 + 0.276520i \(0.910819\pi\)
\(620\) −3.18180 28.0355i −0.127784 1.12593i
\(621\) 40.0518 10.8079i 1.60722 0.433706i
\(622\) 1.78626 + 5.49755i 0.0716227 + 0.220432i
\(623\) 0.680045 0.302776i 0.0272454 0.0121305i
\(624\) 14.4458 16.6378i 0.578294 0.666045i
\(625\) −20.7014 14.0161i −0.828057 0.560644i
\(626\) 1.61402 + 2.79556i 0.0645090 + 0.111733i
\(627\) 0.280974 0.920967i 0.0112210 0.0367799i
\(628\) 42.7130 + 9.07892i 1.70443 + 0.362288i
\(629\) 8.85131 + 27.2415i 0.352925 + 1.08619i
\(630\) −0.0744992 + 0.269412i −0.00296812 + 0.0107336i
\(631\) −5.21668 + 16.0553i −0.207673 + 0.639151i 0.791920 + 0.610624i \(0.209081\pi\)
−0.999593 + 0.0285264i \(0.990919\pi\)
\(632\) −4.24343 + 7.34983i −0.168794 + 0.292361i
\(633\) −3.97721 + 7.18507i −0.158080 + 0.285581i
\(634\) −0.961423 0.428053i −0.0381830 0.0170002i
\(635\) −3.29656 + 0.0273249i −0.130820 + 0.00108435i
\(636\) 13.1853 + 14.1227i 0.522830 + 0.560003i
\(637\) 2.79413 + 26.5844i 0.110707 + 1.05331i
\(638\) −0.560259 + 0.407052i −0.0221809 + 0.0161153i
\(639\) −5.88814 + 11.1056i −0.232931 + 0.439330i
\(640\) −19.0095 + 8.65309i −0.751417 + 0.342043i
\(641\) −0.615338 5.85455i −0.0243044 0.231241i −0.999930 0.0118007i \(-0.996244\pi\)
0.975626 0.219440i \(-0.0704230\pi\)
\(642\) 3.27655 0.0591273i 0.129315 0.00233357i
\(643\) −10.4282 18.0622i −0.411249 0.712304i 0.583777 0.811914i \(-0.301574\pi\)
−0.995027 + 0.0996093i \(0.968241\pi\)
\(644\) 1.81017 0.384762i 0.0713305 0.0151618i
\(645\) 3.83428 12.9516i 0.150975 0.509967i
\(646\) 1.86859 + 0.397180i 0.0735185 + 0.0156268i
\(647\) 5.43908 + 16.7398i 0.213832 + 0.658108i 0.999234 + 0.0391223i \(0.0124562\pi\)
−0.785402 + 0.618986i \(0.787544\pi\)
\(648\) −11.1444 4.02646i −0.437794 0.158174i
\(649\) −2.77867 −0.109072
\(650\) 1.90129 6.19942i 0.0745748 0.243161i
\(651\) 0.934598 1.07641i 0.0366298 0.0421880i
\(652\) 4.56533 43.4362i 0.178792 1.70109i
\(653\) 0.301031 0.334329i 0.0117803 0.0130833i −0.737226 0.675646i \(-0.763865\pi\)
0.749006 + 0.662563i \(0.230531\pi\)
\(654\) −5.97911 + 4.51112i −0.233802 + 0.176399i
\(655\) −28.1287 + 31.7656i −1.09908 + 1.24119i
\(656\) 6.54683 20.1491i 0.255611 0.786689i
\(657\) −4.51262 31.8362i −0.176054 1.24205i
\(658\) −0.0696169 + 0.214259i −0.00271395 + 0.00835268i
\(659\) 3.17726 + 30.2296i 0.123769 + 1.17758i 0.863383 + 0.504548i \(0.168341\pi\)
−0.739615 + 0.673030i \(0.764992\pi\)
\(660\) 0.244044 3.10693i 0.00949941 0.120937i
\(661\) −3.35305 + 31.9022i −0.130419 + 1.24085i 0.712059 + 0.702120i \(0.247763\pi\)
−0.842478 + 0.538731i \(0.818904\pi\)
\(662\) 5.97424 + 2.65990i 0.232196 + 0.103380i
\(663\) −25.9953 + 12.1405i −1.00957 + 0.471497i
\(664\) 3.12514 1.39140i 0.121279 0.0539969i
\(665\) 0.350862 + 0.0715438i 0.0136059 + 0.00277435i
\(666\) 6.52599 1.63530i 0.252877 0.0633665i
\(667\) −11.8112 + 36.3512i −0.457332 + 1.40752i
\(668\) −23.8425 + 41.2964i −0.922492 + 1.59780i
\(669\) −22.9948 + 0.414955i −0.889031 + 0.0160431i
\(670\) 1.76830 5.59978i 0.0683154 0.216338i
\(671\) 2.83026 3.14332i 0.109261 0.121347i
\(672\) −0.737247 0.312429i −0.0284399 0.0120522i
\(673\) 25.1007 11.1756i 0.967561 0.430786i 0.138758 0.990326i \(-0.455689\pi\)
0.828803 + 0.559540i \(0.189022\pi\)
\(674\) −2.15922 −0.0831700
\(675\) 25.9158 1.83552i 0.997501 0.0706494i
\(676\) −3.10212 −0.119312
\(677\) −31.4534 + 14.0040i −1.20885 + 0.538216i −0.909411 0.415899i \(-0.863467\pi\)
−0.299441 + 0.954115i \(0.596800\pi\)
\(678\) 0.359019 + 0.152144i 0.0137880 + 0.00584307i
\(679\) −1.14984 + 1.27702i −0.0441266 + 0.0490076i
\(680\) 12.7424 0.105621i 0.488650 0.00405037i
\(681\) 6.75681 0.121931i 0.258921 0.00467239i
\(682\) 0.484112 0.838507i 0.0185376 0.0321081i
\(683\) −5.56214 + 17.1185i −0.212830 + 0.655022i 0.786471 + 0.617627i \(0.211906\pi\)
−0.999301 + 0.0373948i \(0.988094\pi\)
\(684\) −2.02186 + 7.08260i −0.0773076 + 0.270810i
\(685\) 7.12363 + 7.78091i 0.272180 + 0.297293i
\(686\) 0.532353 0.237019i 0.0203254 0.00904943i
\(687\) 28.6180 13.3654i 1.09185 0.509921i
\(688\) 10.5908 + 4.71533i 0.403771 + 0.179770i
\(689\) 2.36706 22.5211i 0.0901778 0.857985i
\(690\) 5.47634 + 8.93352i 0.208481 + 0.340093i
\(691\) 3.98177 + 37.8840i 0.151474 + 1.44118i 0.761176 + 0.648546i \(0.224623\pi\)
−0.609702 + 0.792631i \(0.708711\pi\)
\(692\) −0.588284 + 1.81055i −0.0223632 + 0.0688269i
\(693\) 0.123962 0.0970856i 0.00470893 0.00368798i
\(694\) −3.00544 + 9.24980i −0.114085 + 0.351118i
\(695\) 17.9073 + 30.4310i 0.679262 + 1.15431i
\(696\) 8.71529 6.57551i 0.330352 0.249244i
\(697\) −18.4589 + 20.5006i −0.699179 + 0.776517i
\(698\) 0.387824 3.68990i 0.0146793 0.139665i
\(699\) −20.6827 + 23.8211i −0.782291 + 0.900996i
\(700\) 1.15883 0.0192122i 0.0437998 0.000726154i
\(701\) −41.5141 −1.56797 −0.783983 0.620783i \(-0.786815\pi\)
−0.783983 + 0.620783i \(0.786815\pi\)
\(702\) 2.42611 + 6.28693i 0.0915677 + 0.237285i
\(703\) −2.66329 8.19675i −0.100448 0.309146i
\(704\) 2.24383 + 0.476942i 0.0845677 + 0.0179754i
\(705\) 20.9323 0.551323i 0.788355 0.0207640i
\(706\) 0.720758 0.153202i 0.0271261 0.00576583i
\(707\) 1.06344 + 1.84193i 0.0399948 + 0.0692730i
\(708\) 21.2521 0.383506i 0.798703 0.0144131i
\(709\) −1.28050 12.1831i −0.0480902 0.457547i −0.991897 0.127048i \(-0.959450\pi\)
0.943806 0.330499i \(-0.107217\pi\)
\(710\) −3.11101 0.634360i −0.116754 0.0238071i
\(711\) 10.2669 + 16.3874i 0.385039 + 0.614576i
\(712\) −6.44852 + 4.68512i −0.241669 + 0.175582i
\(713\) −5.58588 53.1461i −0.209193 1.99034i
\(714\) 0.213184 + 0.228342i 0.00797821 + 0.00854547i
\(715\) −2.93718 + 2.17141i −0.109844 + 0.0812061i
\(716\) −0.907574 0.404078i −0.0339176 0.0151011i
\(717\) 6.03014 10.8938i 0.225200 0.406837i
\(718\) 3.58822 6.21499i 0.133911 0.231941i
\(719\) 13.9757 43.0129i 0.521207 1.60411i −0.250489 0.968119i \(-0.580591\pi\)
0.771696 0.635991i \(-0.219409\pi\)
\(720\) −1.34479 + 22.2584i −0.0501174 + 0.829523i
\(721\) −0.0721189 0.221959i −0.00268585 0.00826619i
\(722\) 5.73581 + 1.21918i 0.213465 + 0.0453734i
\(723\) 9.98354 32.7238i 0.371292 1.21701i
\(724\) −12.2726 21.2567i −0.456107 0.790001i
\(725\) −11.6235 + 20.9260i −0.431685 + 0.777173i
\(726\) −4.16290 + 4.79458i −0.154500 + 0.177944i
\(727\) 35.4050 15.7633i 1.31310 0.584628i 0.373729 0.927538i \(-0.378079\pi\)
0.939368 + 0.342910i \(0.111412\pi\)
\(728\) 0.191450 + 0.589222i 0.00709560 + 0.0218380i
\(729\) −20.0008 + 18.1375i −0.740770 + 0.671759i
\(730\) 7.39200 3.36482i 0.273590 0.124538i
\(731\) −10.1008 11.2181i −0.373591 0.414915i
\(732\) −21.2128 + 24.4316i −0.784047 + 0.903019i
\(733\) −17.7677 + 3.77663i −0.656263 + 0.139493i −0.523996 0.851721i \(-0.675559\pi\)
−0.132268 + 0.991214i \(0.542226\pi\)
\(734\) 5.36632 + 2.38924i 0.198074 + 0.0881884i
\(735\) −18.6246 19.6202i −0.686978 0.723703i
\(736\) −27.4213 + 12.2088i −1.01076 + 0.450021i
\(737\) −2.67614 + 1.94433i −0.0985770 + 0.0716204i
\(738\) 4.50651 + 4.65562i 0.165887 + 0.171376i
\(739\) 12.8872 + 9.36310i 0.474063 + 0.344427i 0.799023 0.601301i \(-0.205351\pi\)
−0.324960 + 0.945728i \(0.605351\pi\)
\(740\) −14.1475 24.0417i −0.520072 0.883792i
\(741\) 7.82176 3.65297i 0.287340 0.134195i
\(742\) −0.241178 + 0.0512640i −0.00885392 + 0.00188196i
\(743\) 4.11285 + 7.12366i 0.150886 + 0.261342i 0.931553 0.363605i \(-0.118454\pi\)
−0.780668 + 0.624947i \(0.785121\pi\)
\(744\) −7.39231 + 13.3547i −0.271015 + 0.489606i
\(745\) 19.6589 + 8.55817i 0.720246 + 0.313547i
\(746\) 2.46707 + 7.59287i 0.0903259 + 0.277995i
\(747\) 0.534555 7.77642i 0.0195583 0.284524i
\(748\) −2.81776 2.04722i −0.103028 0.0748539i
\(749\) 0.343250 0.594527i 0.0125421 0.0217236i
\(750\) 2.29376 + 6.14850i 0.0837563 + 0.224511i
\(751\) 14.9771 + 25.9412i 0.546523 + 0.946606i 0.998509 + 0.0545813i \(0.0173824\pi\)
−0.451986 + 0.892025i \(0.649284\pi\)
\(752\) −1.87861 + 17.8737i −0.0685057 + 0.651788i
\(753\) −31.1049 13.1816i −1.13352 0.480363i
\(754\) −6.07316 1.29089i −0.221171 0.0470114i
\(755\) 5.34581 + 47.1029i 0.194554 + 1.71425i
\(756\) −0.934698 + 0.759648i −0.0339946 + 0.0276281i
\(757\) −28.4622 −1.03448 −0.517238 0.855841i \(-0.673040\pi\)
−0.517238 + 0.855841i \(0.673040\pi\)
\(758\) 2.50638 + 2.78362i 0.0910359 + 0.101106i
\(759\) 0.510967 5.88036i 0.0185469 0.213444i
\(760\) −3.83409 + 0.0317804i −0.139077 + 0.00115280i
\(761\) 0.762237 7.25220i 0.0276311 0.262892i −0.971981 0.235057i \(-0.924472\pi\)
0.999613 0.0278345i \(-0.00886114\pi\)
\(762\) 0.709160 + 0.495936i 0.0256902 + 0.0179659i
\(763\) 0.164010 + 1.56045i 0.00593755 + 0.0564920i
\(764\) 14.4705 + 10.5134i 0.523523 + 0.380361i
\(765\) 13.3880 25.7649i 0.484045 0.931531i
\(766\) −3.61078 + 2.62338i −0.130463 + 0.0947867i
\(767\) −16.6697 18.5136i −0.601908 0.668486i
\(768\) −12.8943 2.49850i −0.465283 0.0901568i
\(769\) 35.7136 7.59117i 1.28787 0.273744i 0.487430 0.873162i \(-0.337934\pi\)
0.800436 + 0.599418i \(0.204601\pi\)
\(770\) 0.0323683 + 0.0231095i 0.00116647 + 0.000832808i