Properties

Label 225.2.q.a.16.5
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 16.5
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.92765 + 0.858246i) q^{2} +(1.36960 + 1.06028i) q^{3} +(1.64099 - 1.82251i) q^{4} +(0.896552 - 2.04846i) q^{5} +(-3.55009 - 0.868397i) q^{6} +(-2.48928 + 4.31156i) q^{7} +(-0.295005 + 0.907932i) q^{8} +(0.751612 + 2.90432i) q^{9} +O(q^{10})\) \(q+(-1.92765 + 0.858246i) q^{2} +(1.36960 + 1.06028i) q^{3} +(1.64099 - 1.82251i) q^{4} +(0.896552 - 2.04846i) q^{5} +(-3.55009 - 0.868397i) q^{6} +(-2.48928 + 4.31156i) q^{7} +(-0.295005 + 0.907932i) q^{8} +(0.751612 + 2.90432i) q^{9} +(0.0298427 + 4.71818i) q^{10} +(1.72651 - 0.768690i) q^{11} +(4.17988 - 0.756196i) q^{12} +(3.32474 + 1.48027i) q^{13} +(1.09809 - 10.4476i) q^{14} +(3.39986 - 1.85498i) q^{15} +(0.302135 + 2.87462i) q^{16} +(-1.29210 + 3.97666i) q^{17} +(-3.94147 - 4.95345i) q^{18} +(-0.0810560 + 0.249465i) q^{19} +(-2.26210 - 4.99549i) q^{20} +(-7.98078 + 3.26578i) q^{21} +(-2.66838 + 2.96353i) q^{22} +(-0.257957 + 2.45430i) q^{23} +(-1.36670 + 0.930717i) q^{24} +(-3.39239 - 3.67311i) q^{25} -7.67939 q^{26} +(-2.04999 + 4.77468i) q^{27} +(3.77296 + 11.6120i) q^{28} +(-1.68200 - 0.357521i) q^{29} +(-4.96172 + 6.49367i) q^{30} +(1.27017 - 0.269984i) q^{31} +(-4.00420 - 6.93548i) q^{32} +(3.17965 + 0.777782i) q^{33} +(-0.922242 - 8.77455i) q^{34} +(6.60029 + 8.96473i) q^{35} +(6.52654 + 3.39615i) q^{36} +(6.88574 - 5.00278i) q^{37} +(-0.0578543 - 0.550447i) q^{38} +(2.98407 + 5.55254i) q^{39} +(1.59538 + 1.41832i) q^{40} +(-3.39601 - 1.51200i) q^{41} +(12.5813 - 13.1448i) q^{42} +(-1.88510 + 3.26508i) q^{43} +(1.43224 - 4.40799i) q^{44} +(6.62325 + 1.06423i) q^{45} +(-1.60914 - 4.95242i) q^{46} +(2.60129 + 0.552921i) q^{47} +(-2.63410 + 4.25743i) q^{48} +(-8.89301 - 15.4032i) q^{49} +(9.69177 + 4.16897i) q^{50} +(-5.98603 + 4.07645i) q^{51} +(8.15369 - 3.63026i) q^{52} +(-3.69988 - 11.3871i) q^{53} +(-0.146191 - 10.9633i) q^{54} +(-0.0267287 - 4.22585i) q^{55} +(-3.18025 - 3.53203i) q^{56} +(-0.375517 + 0.255725i) q^{57} +(3.54916 - 0.754396i) q^{58} +(10.1104 + 4.50144i) q^{59} +(2.19844 - 9.24028i) q^{60} +(5.65749 - 2.51887i) q^{61} +(-2.21674 + 1.61056i) q^{62} +(-14.3931 - 3.98904i) q^{63} +(8.99419 + 6.53466i) q^{64} +(6.01309 - 5.48347i) q^{65} +(-6.79679 + 1.22963i) q^{66} +(10.8335 - 2.30273i) q^{67} +(5.12718 + 8.88053i) q^{68} +(-2.95554 + 3.08790i) q^{69} +(-20.4170 - 11.6162i) q^{70} +(-2.45250 - 7.54802i) q^{71} +(-2.85866 - 0.174376i) q^{72} +(4.25757 + 3.09331i) q^{73} +(-8.97969 + 15.5533i) q^{74} +(-0.751696 - 8.62757i) q^{75} +(0.321639 + 0.557095i) q^{76} +(-0.983504 + 9.35741i) q^{77} +(-10.5177 - 8.14230i) q^{78} +(5.33957 + 1.13496i) q^{79} +(6.15943 + 1.95834i) q^{80} +(-7.87016 + 4.36585i) q^{81} +7.84399 q^{82} +(-3.11812 - 3.46302i) q^{83} +(-7.14450 + 19.9042i) q^{84} +(6.98760 + 6.21209i) q^{85} +(0.831566 - 7.91182i) q^{86} +(-1.92460 - 2.27305i) q^{87} +(0.188590 + 1.79432i) q^{88} +(0.287009 + 0.208524i) q^{89} +(-13.6807 + 3.63292i) q^{90} +(-14.6585 + 10.6500i) q^{91} +(4.04967 + 4.49761i) q^{92} +(2.02589 + 0.976971i) q^{93} +(-5.48893 + 1.16671i) q^{94} +(0.438348 + 0.389698i) q^{95} +(1.86939 - 13.7444i) q^{96} +(-9.60882 - 2.04242i) q^{97} +(30.3623 + 22.0595i) q^{98} +(3.53019 + 4.43657i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.92765 + 0.858246i −1.36306 + 0.606871i −0.952381 0.304911i \(-0.901373\pi\)
−0.410675 + 0.911782i \(0.634707\pi\)
\(3\) 1.36960 + 1.06028i 0.790739 + 0.612153i
\(4\) 1.64099 1.82251i 0.820497 0.911254i
\(5\) 0.896552 2.04846i 0.400950 0.916100i
\(6\) −3.55009 0.868397i −1.44932 0.354521i
\(7\) −2.48928 + 4.31156i −0.940859 + 1.62962i −0.177021 + 0.984207i \(0.556646\pi\)
−0.763838 + 0.645408i \(0.776687\pi\)
\(8\) −0.295005 + 0.907932i −0.104300 + 0.321003i
\(9\) 0.751612 + 2.90432i 0.250537 + 0.968107i
\(10\) 0.0298427 + 4.71818i 0.00943710 + 1.49202i
\(11\) 1.72651 0.768690i 0.520561 0.231769i −0.129598 0.991567i \(-0.541369\pi\)
0.650159 + 0.759798i \(0.274702\pi\)
\(12\) 4.17988 0.756196i 1.20663 0.218295i
\(13\) 3.32474 + 1.48027i 0.922118 + 0.410553i 0.812195 0.583387i \(-0.198273\pi\)
0.109924 + 0.993940i \(0.464939\pi\)
\(14\) 1.09809 10.4476i 0.293476 2.79224i
\(15\) 3.39986 1.85498i 0.877840 0.478953i
\(16\) 0.302135 + 2.87462i 0.0755337 + 0.718655i
\(17\) −1.29210 + 3.97666i −0.313379 + 0.964482i 0.663037 + 0.748586i \(0.269267\pi\)
−0.976417 + 0.215895i \(0.930733\pi\)
\(18\) −3.94147 4.95345i −0.929013 1.16754i
\(19\) −0.0810560 + 0.249465i −0.0185955 + 0.0572311i −0.959924 0.280262i \(-0.909579\pi\)
0.941328 + 0.337493i \(0.109579\pi\)
\(20\) −2.26210 4.99549i −0.505821 1.11702i
\(21\) −7.98078 + 3.26578i −1.74155 + 0.712651i
\(22\) −2.66838 + 2.96353i −0.568900 + 0.631827i
\(23\) −0.257957 + 2.45430i −0.0537877 + 0.511756i 0.934147 + 0.356888i \(0.116162\pi\)
−0.987935 + 0.154869i \(0.950505\pi\)
\(24\) −1.36670 + 0.930717i −0.278977 + 0.189982i
\(25\) −3.39239 3.67311i −0.678478 0.734621i
\(26\) −7.67939 −1.50605
\(27\) −2.04999 + 4.77468i −0.394520 + 0.918887i
\(28\) 3.77296 + 11.6120i 0.713022 + 2.19446i
\(29\) −1.68200 0.357521i −0.312340 0.0663899i 0.0490746 0.998795i \(-0.484373\pi\)
−0.361415 + 0.932405i \(0.617706\pi\)
\(30\) −4.96172 + 6.49367i −0.905882 + 1.18558i
\(31\) 1.27017 0.269984i 0.228130 0.0484905i −0.0924281 0.995719i \(-0.529463\pi\)
0.320558 + 0.947229i \(0.396130\pi\)
\(32\) −4.00420 6.93548i −0.707849 1.22603i
\(33\) 3.17965 + 0.777782i 0.553506 + 0.135394i
\(34\) −0.922242 8.77455i −0.158163 1.50482i
\(35\) 6.60029 + 8.96473i 1.11565 + 1.51532i
\(36\) 6.52654 + 3.39615i 1.08776 + 0.566026i
\(37\) 6.88574 5.00278i 1.13201 0.822452i 0.146022 0.989281i \(-0.453353\pi\)
0.985986 + 0.166829i \(0.0533529\pi\)
\(38\) −0.0578543 0.550447i −0.00938520 0.0892943i
\(39\) 2.98407 + 5.55254i 0.477834 + 0.889118i
\(40\) 1.59538 + 1.41832i 0.252251 + 0.224255i
\(41\) −3.39601 1.51200i −0.530367 0.236135i 0.124040 0.992277i \(-0.460415\pi\)
−0.654407 + 0.756143i \(0.727082\pi\)
\(42\) 12.5813 13.1448i 1.94134 2.02828i
\(43\) −1.88510 + 3.26508i −0.287475 + 0.497921i −0.973206 0.229934i \(-0.926149\pi\)
0.685732 + 0.727854i \(0.259482\pi\)
\(44\) 1.43224 4.40799i 0.215919 0.664529i
\(45\) 6.62325 + 1.06423i 0.987336 + 0.158646i
\(46\) −1.60914 4.95242i −0.237255 0.730194i
\(47\) 2.60129 + 0.552921i 0.379437 + 0.0806519i 0.393682 0.919247i \(-0.371201\pi\)
−0.0142448 + 0.999899i \(0.504534\pi\)
\(48\) −2.63410 + 4.25743i −0.380200 + 0.614507i
\(49\) −8.89301 15.4032i −1.27043 2.20045i
\(50\) 9.69177 + 4.16897i 1.37062 + 0.589581i
\(51\) −5.98603 + 4.07645i −0.838211 + 0.570818i
\(52\) 8.15369 3.63026i 1.13071 0.503426i
\(53\) −3.69988 11.3871i −0.508217 1.56413i −0.795294 0.606224i \(-0.792683\pi\)
0.287077 0.957908i \(-0.407317\pi\)
\(54\) −0.146191 10.9633i −0.0198941 1.49192i
\(55\) −0.0267287 4.22585i −0.00360410 0.569814i
\(56\) −3.18025 3.53203i −0.424979 0.471987i
\(57\) −0.375517 + 0.255725i −0.0497384 + 0.0338716i
\(58\) 3.54916 0.754396i 0.466027 0.0990571i
\(59\) 10.1104 + 4.50144i 1.31626 + 0.586037i 0.940221 0.340566i \(-0.110619\pi\)
0.376041 + 0.926603i \(0.377285\pi\)
\(60\) 2.19844 9.24028i 0.283817 1.19292i
\(61\) 5.65749 2.51887i 0.724367 0.322509i −0.0112221 0.999937i \(-0.503572\pi\)
0.735589 + 0.677428i \(0.236906\pi\)
\(62\) −2.21674 + 1.61056i −0.281526 + 0.204541i
\(63\) −14.3931 3.98904i −1.81336 0.502572i
\(64\) 8.99419 + 6.53466i 1.12427 + 0.816833i
\(65\) 6.01309 5.48347i 0.745832 0.680141i
\(66\) −6.79679 + 1.22963i −0.836627 + 0.151357i
\(67\) 10.8335 2.30273i 1.32352 0.281323i 0.508654 0.860971i \(-0.330143\pi\)
0.814867 + 0.579648i \(0.196810\pi\)
\(68\) 5.12718 + 8.88053i 0.621761 + 1.07692i
\(69\) −2.95554 + 3.08790i −0.355805 + 0.371739i
\(70\) −20.4170 11.6162i −2.44030 1.38840i
\(71\) −2.45250 7.54802i −0.291058 0.895786i −0.984517 0.175289i \(-0.943914\pi\)
0.693459 0.720496i \(-0.256086\pi\)
\(72\) −2.85866 0.174376i −0.336896 0.0205505i
\(73\) 4.25757 + 3.09331i 0.498311 + 0.362044i 0.808372 0.588673i \(-0.200349\pi\)
−0.310060 + 0.950717i \(0.600349\pi\)
\(74\) −8.97969 + 15.5533i −1.04387 + 1.80803i
\(75\) −0.751696 8.62757i −0.0867983 0.996226i
\(76\) 0.321639 + 0.557095i 0.0368945 + 0.0639032i
\(77\) −0.983504 + 9.35741i −0.112081 + 1.06638i
\(78\) −10.5177 8.14230i −1.19089 0.921934i
\(79\) 5.33957 + 1.13496i 0.600748 + 0.127693i 0.498240 0.867039i \(-0.333980\pi\)
0.102508 + 0.994732i \(0.467313\pi\)
\(80\) 6.15943 + 1.95834i 0.688645 + 0.218949i
\(81\) −7.87016 + 4.36585i −0.874462 + 0.485094i
\(82\) 7.84399 0.866223
\(83\) −3.11812 3.46302i −0.342258 0.380116i 0.547301 0.836936i \(-0.315655\pi\)
−0.889559 + 0.456820i \(0.848988\pi\)
\(84\) −7.14450 + 19.9042i −0.779528 + 2.17172i
\(85\) 6.98760 + 6.21209i 0.757912 + 0.673796i
\(86\) 0.831566 7.91182i 0.0896700 0.853153i
\(87\) −1.92460 2.27305i −0.206339 0.243697i
\(88\) 0.188590 + 1.79432i 0.0201038 + 0.191275i
\(89\) 0.287009 + 0.208524i 0.0304229 + 0.0221035i 0.602893 0.797822i \(-0.294015\pi\)
−0.572470 + 0.819926i \(0.694015\pi\)
\(90\) −13.6807 + 3.63292i −1.44207 + 0.382943i
\(91\) −14.6585 + 10.6500i −1.53663 + 1.11642i
\(92\) 4.04967 + 4.49761i 0.422207 + 0.468909i
\(93\) 2.02589 + 0.976971i 0.210075 + 0.101307i
\(94\) −5.48893 + 1.16671i −0.566139 + 0.120337i
\(95\) 0.438348 + 0.389698i 0.0449735 + 0.0399822i
\(96\) 1.86939 13.7444i 0.190794 1.40278i
\(97\) −9.60882 2.04242i −0.975628 0.207376i −0.307603 0.951515i \(-0.599527\pi\)
−0.668025 + 0.744139i \(0.732860\pi\)
\(98\) 30.3623 + 22.0595i 3.06706 + 2.22835i
\(99\) 3.53019 + 4.43657i 0.354797 + 0.445892i
\(100\) −12.2612 + 0.155111i −1.22612 + 0.0155111i
\(101\) 6.28156 10.8800i 0.625039 1.08260i −0.363495 0.931596i \(-0.618417\pi\)
0.988533 0.151002i \(-0.0482501\pi\)
\(102\) 8.04038 12.9955i 0.796116 1.28674i
\(103\) 0.783455 0.870115i 0.0771962 0.0857350i −0.703309 0.710884i \(-0.748295\pi\)
0.780505 + 0.625149i \(0.214962\pi\)
\(104\) −2.32480 + 2.58195i −0.227966 + 0.253181i
\(105\) −0.465362 + 19.2763i −0.0454146 + 1.88117i
\(106\) 16.9050 + 18.7749i 1.64196 + 1.82358i
\(107\) −9.50230 −0.918622 −0.459311 0.888275i \(-0.651904\pi\)
−0.459311 + 0.888275i \(0.651904\pi\)
\(108\) 5.33788 + 11.5713i 0.513638 + 1.11345i
\(109\) 12.2415 8.89397i 1.17252 0.851888i 0.181215 0.983444i \(-0.441997\pi\)
0.991309 + 0.131555i \(0.0419971\pi\)
\(110\) 3.67834 + 8.12303i 0.350716 + 0.774501i
\(111\) 14.7351 + 0.448998i 1.39859 + 0.0426170i
\(112\) −13.1462 5.85306i −1.24220 0.553062i
\(113\) −12.6322 5.62424i −1.18834 0.529084i −0.285218 0.958463i \(-0.592066\pi\)
−0.903124 + 0.429379i \(0.858733\pi\)
\(114\) 0.504391 0.815234i 0.0472405 0.0763537i
\(115\) 4.79626 + 2.72882i 0.447253 + 0.254464i
\(116\) −3.41174 + 2.47877i −0.316772 + 0.230148i
\(117\) −1.80027 + 10.7687i −0.166435 + 0.995568i
\(118\) −23.3527 −2.14979
\(119\) −13.9292 15.4700i −1.27689 1.41813i
\(120\) 0.681217 + 3.63407i 0.0621864 + 0.331744i
\(121\) −4.97050 + 5.52030i −0.451863 + 0.501845i
\(122\) −8.74385 + 9.71103i −0.791631 + 0.879195i
\(123\) −3.04803 5.67155i −0.274832 0.511387i
\(124\) 1.59230 2.75795i 0.142993 0.247671i
\(125\) −10.5657 + 3.65604i −0.945022 + 0.327006i
\(126\) 31.1685 4.66334i 2.77671 0.415444i
\(127\) −16.2948 11.8389i −1.44593 1.05053i −0.986760 0.162185i \(-0.948146\pi\)
−0.459173 0.888347i \(-0.651854\pi\)
\(128\) −7.27922 1.54725i −0.643398 0.136759i
\(129\) −6.04373 + 2.47313i −0.532121 + 0.217747i
\(130\) −6.88497 + 15.7309i −0.603852 + 1.37969i
\(131\) 16.9996 3.61338i 1.48527 0.315703i 0.607318 0.794459i \(-0.292246\pi\)
0.877948 + 0.478756i \(0.158912\pi\)
\(132\) 6.63530 4.51861i 0.577529 0.393294i
\(133\) −0.873810 0.970464i −0.0757689 0.0841499i
\(134\) −18.9069 + 13.7367i −1.63331 + 1.18667i
\(135\) 7.94283 + 8.48007i 0.683610 + 0.729848i
\(136\) −3.22936 2.34627i −0.276916 0.201191i
\(137\) 1.13072 + 10.7581i 0.0966037 + 0.919123i 0.930275 + 0.366862i \(0.119568\pi\)
−0.833671 + 0.552261i \(0.813765\pi\)
\(138\) 3.04707 8.48897i 0.259384 0.722629i
\(139\) −1.24824 + 11.8762i −0.105874 + 1.00733i 0.804616 + 0.593796i \(0.202371\pi\)
−0.910490 + 0.413531i \(0.864295\pi\)
\(140\) 27.1693 + 2.68198i 2.29623 + 0.226669i
\(141\) 2.97648 + 3.51538i 0.250665 + 0.296048i
\(142\) 11.2056 + 12.4451i 0.940355 + 1.04437i
\(143\) 6.87806 0.575172
\(144\) −8.12173 + 3.03810i −0.676811 + 0.253175i
\(145\) −2.24037 + 3.12498i −0.186053 + 0.259516i
\(146\) −10.8619 2.30878i −0.898941 0.191076i
\(147\) 4.15178 30.5253i 0.342433 2.51768i
\(148\) 2.18184 20.7588i 0.179346 1.70637i
\(149\) 5.92237 + 10.2578i 0.485179 + 0.840355i 0.999855 0.0170300i \(-0.00542107\pi\)
−0.514676 + 0.857385i \(0.672088\pi\)
\(150\) 8.85358 + 15.9858i 0.722892 + 1.30524i
\(151\) −2.14043 + 3.70734i −0.174186 + 0.301699i −0.939879 0.341507i \(-0.889063\pi\)
0.765693 + 0.643206i \(0.222396\pi\)
\(152\) −0.202585 0.147187i −0.0164318 0.0119384i
\(153\) −12.5206 0.763753i −1.01223 0.0617458i
\(154\) −6.13511 18.8819i −0.494381 1.52155i
\(155\) 0.585726 2.84396i 0.0470467 0.228432i
\(156\) 15.0164 + 3.67319i 1.20227 + 0.294091i
\(157\) −7.76946 13.4571i −0.620070 1.07399i −0.989472 0.144723i \(-0.953771\pi\)
0.369402 0.929270i \(-0.379563\pi\)
\(158\) −11.2669 + 2.39485i −0.896346 + 0.190524i
\(159\) 7.00611 19.5186i 0.555621 1.54793i
\(160\) −17.7970 + 1.98443i −1.40698 + 0.156883i
\(161\) −9.93971 7.22162i −0.783359 0.569144i
\(162\) 11.4240 15.1704i 0.897551 1.19190i
\(163\) 13.2313 9.61308i 1.03635 0.752955i 0.0667830 0.997768i \(-0.478726\pi\)
0.969570 + 0.244813i \(0.0787265\pi\)
\(164\) −8.32846 + 3.70807i −0.650343 + 0.289552i
\(165\) 4.44398 5.81607i 0.345963 0.452780i
\(166\) 8.98277 + 3.99939i 0.697198 + 0.310413i
\(167\) −12.2209 + 2.59762i −0.945679 + 0.201010i −0.654845 0.755763i \(-0.727266\pi\)
−0.290834 + 0.956774i \(0.593933\pi\)
\(168\) −0.610737 8.20942i −0.0471193 0.633371i
\(169\) 0.164023 + 0.182166i 0.0126171 + 0.0140128i
\(170\) −18.8012 5.97767i −1.44198 0.458466i
\(171\) −0.785448 0.0479119i −0.0600647 0.00366391i
\(172\) 2.85721 + 8.79359i 0.217860 + 0.670505i
\(173\) 1.41051 0.628000i 0.107239 0.0477460i −0.352416 0.935844i \(-0.614640\pi\)
0.459655 + 0.888098i \(0.347973\pi\)
\(174\) 5.66080 + 2.72988i 0.429144 + 0.206951i
\(175\) 24.2814 5.48309i 1.83550 0.414483i
\(176\) 2.73133 + 4.73080i 0.205882 + 0.356598i
\(177\) 9.07442 + 16.8850i 0.682075 + 1.26916i
\(178\) −0.732218 0.155638i −0.0548821 0.0116655i
\(179\) 4.93082 + 15.1755i 0.368547 + 1.13427i 0.947730 + 0.319073i \(0.103372\pi\)
−0.579183 + 0.815198i \(0.696628\pi\)
\(180\) 12.8083 10.3245i 0.954672 0.769546i
\(181\) 3.96156 12.1924i 0.294461 0.906256i −0.688942 0.724817i \(-0.741924\pi\)
0.983402 0.181439i \(-0.0580757\pi\)
\(182\) 19.1161 33.1101i 1.41698 2.45428i
\(183\) 10.4192 + 2.54867i 0.770210 + 0.188403i
\(184\) −2.15224 0.958237i −0.158665 0.0706422i
\(185\) −4.07458 18.5904i −0.299569 1.36679i
\(186\) −4.74369 0.144547i −0.347824 0.0105987i
\(187\) 0.826009 + 7.85895i 0.0604037 + 0.574703i
\(188\) 5.27641 3.83353i 0.384822 0.279589i
\(189\) −15.4833 20.7241i −1.12625 1.50746i
\(190\) −1.17944 0.374992i −0.0855655 0.0272048i
\(191\) −0.443254 4.21728i −0.0320727 0.305152i −0.998785 0.0492849i \(-0.984306\pi\)
0.966712 0.255867i \(-0.0823609\pi\)
\(192\) 5.38988 + 18.4862i 0.388981 + 1.33413i
\(193\) −4.41000 7.63834i −0.317438 0.549820i 0.662514 0.749049i \(-0.269489\pi\)
−0.979953 + 0.199230i \(0.936156\pi\)
\(194\) 20.2754 4.30966i 1.45569 0.309415i
\(195\) 14.0495 1.13461i 1.00611 0.0812509i
\(196\) −42.6658 9.06889i −3.04755 0.647778i
\(197\) 1.26374 + 3.88941i 0.0900381 + 0.277109i 0.985929 0.167166i \(-0.0534615\pi\)
−0.895891 + 0.444274i \(0.853462\pi\)
\(198\) −10.6126 5.52240i −0.754207 0.392460i
\(199\) −8.92440 −0.632634 −0.316317 0.948654i \(-0.602446\pi\)
−0.316317 + 0.948654i \(0.602446\pi\)
\(200\) 4.33570 1.99647i 0.306580 0.141172i
\(201\) 17.2791 + 8.33271i 1.21877 + 0.587744i
\(202\) −2.77096 + 26.3639i −0.194964 + 1.85496i
\(203\) 5.72844 6.36208i 0.402058 0.446531i
\(204\) −2.39366 + 17.5990i −0.167590 + 1.23218i
\(205\) −6.14197 + 5.60100i −0.428974 + 0.391191i
\(206\) −0.763456 + 2.34968i −0.0531925 + 0.163710i
\(207\) −7.32195 + 1.09549i −0.508911 + 0.0761418i
\(208\) −3.25070 + 10.0046i −0.225395 + 0.693696i
\(209\) 0.0518173 + 0.493009i 0.00358428 + 0.0341021i
\(210\) −15.6467 37.5573i −1.07973 2.59170i
\(211\) −0.623170 + 5.92907i −0.0429008 + 0.408174i 0.951906 + 0.306391i \(0.0991215\pi\)
−0.994807 + 0.101783i \(0.967545\pi\)
\(212\) −26.8245 11.9430i −1.84231 0.820250i
\(213\) 4.64407 12.9381i 0.318207 0.886505i
\(214\) 18.3171 8.15531i 1.25213 0.557486i
\(215\) 4.99831 + 6.78887i 0.340882 + 0.462997i
\(216\) −3.73033 3.26980i −0.253817 0.222482i
\(217\) −1.99777 + 6.14849i −0.135617 + 0.417387i
\(218\) −15.9641 + 27.6507i −1.08123 + 1.87274i
\(219\) 2.55140 + 8.75082i 0.172408 + 0.591326i
\(220\) −7.74551 6.88588i −0.522202 0.464246i
\(221\) −10.1824 + 11.3087i −0.684944 + 0.760707i
\(222\) −28.7894 + 11.7808i −1.93222 + 0.790675i
\(223\) 21.3624 9.51115i 1.43053 0.636913i 0.462244 0.886753i \(-0.347045\pi\)
0.968287 + 0.249840i \(0.0803779\pi\)
\(224\) 39.8703 2.66394
\(225\) 8.11812 12.6133i 0.541208 0.840889i
\(226\) 29.1776 1.94086
\(227\) −6.71471 + 2.98958i −0.445671 + 0.198426i −0.617287 0.786738i \(-0.711768\pi\)
0.171615 + 0.985164i \(0.445101\pi\)
\(228\) −0.150160 + 1.10403i −0.00994458 + 0.0731159i
\(229\) −13.0836 + 14.5308i −0.864590 + 0.960225i −0.999531 0.0306288i \(-0.990249\pi\)
0.134940 + 0.990854i \(0.456916\pi\)
\(230\) −11.5875 1.14384i −0.764058 0.0754229i
\(231\) −11.2685 + 11.7731i −0.741412 + 0.774615i
\(232\) 0.820804 1.42167i 0.0538884 0.0933375i
\(233\) −1.01109 + 3.11182i −0.0662389 + 0.203862i −0.978698 0.205306i \(-0.934181\pi\)
0.912459 + 0.409168i \(0.134181\pi\)
\(234\) −5.77192 22.3034i −0.377322 1.45802i
\(235\) 3.46483 4.83292i 0.226021 0.315265i
\(236\) 24.7950 11.0394i 1.61402 0.718607i
\(237\) 6.10970 + 7.21588i 0.396867 + 0.468722i
\(238\) 40.1277 + 17.8660i 2.60109 + 1.15808i
\(239\) 1.07690 10.2461i 0.0696591 0.662762i −0.902859 0.429936i \(-0.858536\pi\)
0.972518 0.232826i \(-0.0747973\pi\)
\(240\) 6.35957 + 9.21286i 0.410509 + 0.594688i
\(241\) 1.30227 + 12.3903i 0.0838865 + 0.798127i 0.952889 + 0.303319i \(0.0980948\pi\)
−0.869003 + 0.494808i \(0.835239\pi\)
\(242\) 4.84362 14.9071i 0.311359 0.958266i
\(243\) −15.4080 2.36511i −0.988423 0.151722i
\(244\) 4.69323 14.4443i 0.300453 0.924700i
\(245\) −39.5258 + 4.40726i −2.52521 + 0.281570i
\(246\) 10.7431 + 8.31682i 0.684957 + 0.530261i
\(247\) −0.638766 + 0.709421i −0.0406437 + 0.0451394i
\(248\) −0.129581 + 1.23288i −0.00822839 + 0.0782879i
\(249\) −0.598804 8.04903i −0.0379477 0.510087i
\(250\) 17.2291 16.1155i 1.08967 1.01923i
\(251\) −9.41731 −0.594415 −0.297208 0.954813i \(-0.596055\pi\)
−0.297208 + 0.954813i \(0.596055\pi\)
\(252\) −30.8891 + 19.6856i −1.94583 + 1.24007i
\(253\) 1.44123 + 4.43565i 0.0906093 + 0.278867i
\(254\) 41.5715 + 8.83629i 2.60843 + 0.554438i
\(255\) 2.98367 + 15.9169i 0.186845 + 0.996755i
\(256\) −6.38925 + 1.35808i −0.399328 + 0.0848799i
\(257\) 14.0470 + 24.3301i 0.876226 + 1.51767i 0.855451 + 0.517884i \(0.173280\pi\)
0.0207755 + 0.999784i \(0.493386\pi\)
\(258\) 9.52766 9.95434i 0.593166 0.619730i
\(259\) 4.42926 + 42.1415i 0.275221 + 2.61855i
\(260\) −0.126231 19.9572i −0.00782849 1.23770i
\(261\) −0.225859 5.15379i −0.0139803 0.319012i
\(262\) −29.6682 + 21.5552i −1.83291 + 1.33169i
\(263\) 1.78757 + 17.0076i 0.110226 + 1.04874i 0.900165 + 0.435549i \(0.143446\pi\)
−0.789939 + 0.613186i \(0.789888\pi\)
\(264\) −1.64419 + 2.65746i −0.101193 + 0.163555i
\(265\) −26.6431 2.63003i −1.63667 0.161562i
\(266\) 2.51730 + 1.12077i 0.154345 + 0.0687190i
\(267\) 0.171994 + 0.589905i 0.0105258 + 0.0361016i
\(268\) 13.5809 23.5229i 0.829588 1.43689i
\(269\) 3.72187 11.4547i 0.226926 0.698407i −0.771164 0.636636i \(-0.780325\pi\)
0.998090 0.0617706i \(-0.0196747\pi\)
\(270\) −22.5890 9.52971i −1.37472 0.579960i
\(271\) 0.394717 + 1.21481i 0.0239773 + 0.0737946i 0.962329 0.271887i \(-0.0876477\pi\)
−0.938352 + 0.345682i \(0.887648\pi\)
\(272\) −11.8218 2.51280i −0.716800 0.152361i
\(273\) −31.3683 0.955836i −1.89849 0.0578498i
\(274\) −11.4127 19.7674i −0.689466 1.19419i
\(275\) −8.68046 3.73394i −0.523451 0.225165i
\(276\) 0.777700 + 10.4537i 0.0468120 + 0.629240i
\(277\) 7.83204 3.48705i 0.470581 0.209516i −0.157724 0.987483i \(-0.550416\pi\)
0.628305 + 0.777967i \(0.283749\pi\)
\(278\) −7.78653 23.9645i −0.467005 1.43729i
\(279\) 1.73880 + 3.48607i 0.104099 + 0.208706i
\(280\) −10.0865 + 3.34797i −0.602783 + 0.200080i
\(281\) −3.24282 3.60152i −0.193450 0.214848i 0.638614 0.769527i \(-0.279508\pi\)
−0.832065 + 0.554678i \(0.812841\pi\)
\(282\) −8.75467 4.22188i −0.521333 0.251409i
\(283\) −17.1129 + 3.63746i −1.01726 + 0.216225i −0.686221 0.727393i \(-0.740732\pi\)
−0.331036 + 0.943618i \(0.607398\pi\)
\(284\) −17.7809 7.91656i −1.05510 0.469761i
\(285\) 0.187172 + 0.998502i 0.0110871 + 0.0591462i
\(286\) −13.2585 + 5.90307i −0.783992 + 0.349056i
\(287\) 14.9727 10.8783i 0.883809 0.642125i
\(288\) 17.1332 16.8423i 1.00959 0.992440i
\(289\) −0.391023 0.284095i −0.0230013 0.0167115i
\(290\) 1.63665 7.94666i 0.0961075 0.466644i
\(291\) −10.9947 12.9853i −0.644521 0.761214i
\(292\) 12.6242 2.68336i 0.738778 0.157032i
\(293\) −4.20354 7.28075i −0.245574 0.425346i 0.716719 0.697362i \(-0.245643\pi\)
−0.962293 + 0.272016i \(0.912310\pi\)
\(294\) 18.1950 + 62.4053i 1.06115 + 3.63955i
\(295\) 18.2855 16.6750i 1.06462 0.970855i
\(296\) 2.51086 + 7.72763i 0.145941 + 0.449159i
\(297\) 0.130937 + 9.81932i 0.00759771 + 0.569774i
\(298\) −20.2200 14.6907i −1.17131 0.851009i
\(299\) −4.49067 + 7.77806i −0.259702 + 0.449817i
\(300\) −16.9573 12.7878i −0.979033 0.738305i
\(301\) −9.38506 16.2554i −0.540946 0.936946i
\(302\) 0.944201 8.98347i 0.0543326 0.516940i
\(303\) 20.1391 8.24102i 1.15696 0.473434i
\(304\) −0.741606 0.157633i −0.0425340 0.00904089i
\(305\) −0.0875858 13.8474i −0.00501515 0.792902i
\(306\) 24.7909 9.27355i 1.41720 0.530133i
\(307\) 3.03287 0.173095 0.0865474 0.996248i \(-0.472417\pi\)
0.0865474 + 0.996248i \(0.472417\pi\)
\(308\) 15.4400 + 17.1479i 0.879778 + 0.977092i
\(309\) 1.99559 0.361028i 0.113525 0.0205382i
\(310\) 1.31174 + 5.98486i 0.0745018 + 0.339917i
\(311\) −0.855920 + 8.14354i −0.0485348 + 0.461778i 0.943082 + 0.332561i \(0.107913\pi\)
−0.991616 + 0.129216i \(0.958754\pi\)
\(312\) −5.92165 + 1.07131i −0.335247 + 0.0606507i
\(313\) −0.467162 4.44475i −0.0264056 0.251232i −0.999760 0.0219248i \(-0.993021\pi\)
0.973354 0.229307i \(-0.0736461\pi\)
\(314\) 26.5263 + 19.2725i 1.49697 + 1.08761i
\(315\) −21.0756 + 25.9074i −1.18747 + 1.45971i
\(316\) 10.8307 7.86894i 0.609273 0.442663i
\(317\) 3.49076 + 3.87688i 0.196061 + 0.217747i 0.833157 0.553037i \(-0.186531\pi\)
−0.637096 + 0.770784i \(0.719865\pi\)
\(318\) 3.24644 + 43.6381i 0.182051 + 2.44710i
\(319\) −3.17881 + 0.675677i −0.177979 + 0.0378306i
\(320\) 21.4498 12.5656i 1.19908 0.702437i
\(321\) −13.0144 10.0751i −0.726391 0.562337i
\(322\) 25.3582 + 5.39006i 1.41316 + 0.300376i
\(323\) −0.887304 0.644664i −0.0493709 0.0358701i
\(324\) −4.95809 + 21.5078i −0.275450 + 1.19488i
\(325\) −5.84163 17.2338i −0.324035 0.955959i
\(326\) −17.2549 + 29.8864i −0.955661 + 1.65525i
\(327\) 26.1961 + 0.798231i 1.44865 + 0.0441423i
\(328\) 2.37463 2.63730i 0.131117 0.145620i
\(329\) −8.85929 + 9.83924i −0.488428 + 0.542455i
\(330\) −3.57483 + 15.0254i −0.196788 + 0.827120i
\(331\) −9.81781 10.9038i −0.539635 0.599326i 0.410231 0.911982i \(-0.365448\pi\)
−0.949867 + 0.312656i \(0.898781\pi\)
\(332\) −11.4282 −0.627204
\(333\) 19.7051 + 16.2382i 1.07983 + 0.889850i
\(334\) 21.3282 15.4958i 1.16703 0.847894i
\(335\) 4.99574 24.2565i 0.272946 1.32527i
\(336\) −11.7991 21.9550i −0.643696 1.19774i
\(337\) 30.0723 + 13.3891i 1.63814 + 0.729348i 0.999203 0.0399086i \(-0.0127067\pi\)
0.638940 + 0.769257i \(0.279373\pi\)
\(338\) −0.472522 0.210380i −0.0257018 0.0114432i
\(339\) −11.3379 21.0967i −0.615788 1.14581i
\(340\) 22.7882 2.54096i 1.23586 0.137803i
\(341\) 1.98543 1.44250i 0.107517 0.0781157i
\(342\) 1.55519 0.581750i 0.0840950 0.0314574i
\(343\) 53.6989 2.89947
\(344\) −2.40836 2.67476i −0.129850 0.144213i
\(345\) 3.67565 + 8.82277i 0.197890 + 0.475002i
\(346\) −2.18000 + 2.42113i −0.117197 + 0.130161i
\(347\) −1.11038 + 1.23320i −0.0596083 + 0.0662017i −0.772211 0.635366i \(-0.780849\pi\)
0.712603 + 0.701567i \(0.247516\pi\)
\(348\) −7.30092 0.222469i −0.391370 0.0119256i
\(349\) 5.58324 9.67045i 0.298864 0.517647i −0.677012 0.735972i \(-0.736726\pi\)
0.975876 + 0.218324i \(0.0700590\pi\)
\(350\) −42.1002 + 31.4089i −2.25035 + 1.67888i
\(351\) −13.8835 + 12.8401i −0.741046 + 0.685351i
\(352\) −12.2445 8.89615i −0.652634 0.474167i
\(353\) −5.07342 1.07839i −0.270031 0.0573969i 0.0709060 0.997483i \(-0.477411\pi\)
−0.340937 + 0.940086i \(0.610744\pi\)
\(354\) −31.9838 24.7604i −1.69992 1.31600i
\(355\) −17.6606 1.74334i −0.937329 0.0925271i
\(356\) 0.851017 0.180889i 0.0451038 0.00958711i
\(357\) −2.67497 35.9565i −0.141574 1.90302i
\(358\) −22.5292 25.0212i −1.19071 1.32241i
\(359\) 6.89179 5.00718i 0.363735 0.264269i −0.390873 0.920445i \(-0.627827\pi\)
0.754608 + 0.656176i \(0.227827\pi\)
\(360\) −2.92014 + 5.69951i −0.153905 + 0.300390i
\(361\) 15.3157 + 11.1275i 0.806087 + 0.585657i
\(362\) 2.82759 + 26.9028i 0.148615 + 1.41398i
\(363\) −12.6607 + 2.29048i −0.664512 + 0.120219i
\(364\) −4.64475 + 44.1918i −0.243451 + 2.31628i
\(365\) 10.1537 5.94816i 0.531467 0.311341i
\(366\) −22.2720 + 4.02930i −1.16418 + 0.210615i
\(367\) 5.18988 + 5.76394i 0.270909 + 0.300875i 0.863213 0.504839i \(-0.168448\pi\)
−0.592304 + 0.805715i \(0.701782\pi\)
\(368\) −7.13311 −0.371839
\(369\) 1.83885 10.9995i 0.0957268 0.572613i
\(370\) 23.8095 + 32.3389i 1.23780 + 1.68122i
\(371\) 58.3059 + 12.3933i 3.02709 + 0.643429i
\(372\) 5.10501 2.08900i 0.264683 0.108310i
\(373\) 2.12940 20.2599i 0.110256 1.04902i −0.789835 0.613319i \(-0.789834\pi\)
0.900092 0.435700i \(-0.143499\pi\)
\(374\) −8.33717 14.4404i −0.431105 0.746695i
\(375\) −18.3472 6.19525i −0.947444 0.319921i
\(376\) −1.26941 + 2.19868i −0.0654648 + 0.113388i
\(377\) −5.06300 3.67849i −0.260758 0.189452i
\(378\) 47.6328 + 26.6604i 2.44997 + 1.37126i
\(379\) 2.82631 + 8.69848i 0.145178 + 0.446811i 0.997034 0.0769649i \(-0.0245229\pi\)
−0.851856 + 0.523776i \(0.824523\pi\)
\(380\) 1.42955 0.159400i 0.0733346 0.00817705i
\(381\) −9.76488 33.4917i −0.500270 1.71583i
\(382\) 4.47390 + 7.74903i 0.228905 + 0.396475i
\(383\) 2.10397 0.447212i 0.107508 0.0228514i −0.153844 0.988095i \(-0.549165\pi\)
0.261351 + 0.965244i \(0.415832\pi\)
\(384\) −8.32911 9.83712i −0.425043 0.501999i
\(385\) 18.2865 + 10.4041i 0.931968 + 0.530241i
\(386\) 15.0565 + 10.9392i 0.766356 + 0.556790i
\(387\) −10.8997 3.02085i −0.554063 0.153558i
\(388\) −19.4903 + 14.1606i −0.989472 + 0.718893i
\(389\) −30.6960 + 13.6668i −1.55635 + 0.692932i −0.991239 0.132082i \(-0.957834\pi\)
−0.565112 + 0.825014i \(0.691167\pi\)
\(390\) −26.1088 + 14.2451i −1.32207 + 0.721328i
\(391\) −9.42660 4.19699i −0.476723 0.212251i
\(392\) 16.6085 3.53025i 0.838856 0.178304i
\(393\) 27.1139 + 13.0755i 1.36772 + 0.659571i
\(394\) −5.77413 6.41282i −0.290896 0.323073i
\(395\) 7.11212 9.92034i 0.357850 0.499147i
\(396\) 13.8787 + 0.846593i 0.697431 + 0.0425429i
\(397\) 0.444711 + 1.36868i 0.0223194 + 0.0686921i 0.961596 0.274469i \(-0.0885022\pi\)
−0.939276 + 0.343161i \(0.888502\pi\)
\(398\) 17.2031 7.65933i 0.862315 0.383928i
\(399\) −0.167807 2.25563i −0.00840084 0.112923i
\(400\) 9.53383 10.8616i 0.476691 0.543080i
\(401\) −4.16680 7.21711i −0.208080 0.360405i 0.743030 0.669259i \(-0.233388\pi\)
−0.951110 + 0.308853i \(0.900055\pi\)
\(402\) −40.4596 1.23286i −2.01794 0.0614895i
\(403\) 4.62266 + 0.982576i 0.230271 + 0.0489456i
\(404\) −9.52086 29.3022i −0.473680 1.45784i
\(405\) 1.88726 + 20.0359i 0.0937785 + 0.995593i
\(406\) −5.58221 + 17.1803i −0.277041 + 0.852643i
\(407\) 8.04268 13.9303i 0.398661 0.690501i
\(408\) −1.93523 6.63748i −0.0958084 0.328604i
\(409\) −16.2678 7.24289i −0.804390 0.358138i −0.0369979 0.999315i \(-0.511779\pi\)
−0.767392 + 0.641178i \(0.778446\pi\)
\(410\) 7.03254 16.0681i 0.347313 0.793547i
\(411\) −9.85793 + 15.9331i −0.486256 + 0.785923i
\(412\) −0.300147 2.85571i −0.0147872 0.140691i
\(413\) −44.5758 + 32.3862i −2.19343 + 1.59362i
\(414\) 13.1740 8.39575i 0.647465 0.412629i
\(415\) −9.88942 + 3.28256i −0.485453 + 0.161135i
\(416\) −3.04655 28.9860i −0.149369 1.42115i
\(417\) −14.3017 + 14.9422i −0.700357 + 0.731721i
\(418\) −0.523009 0.905878i −0.0255812 0.0443079i
\(419\) −3.08273 + 0.655255i −0.150601 + 0.0320113i −0.282595 0.959239i \(-0.591195\pi\)
0.131994 + 0.991251i \(0.457862\pi\)
\(420\) 34.3675 + 32.4803i 1.67696 + 1.58488i
\(421\) −9.64184 2.04944i −0.469915 0.0998834i −0.0331329 0.999451i \(-0.510548\pi\)
−0.436782 + 0.899568i \(0.643882\pi\)
\(422\) −3.88734 11.9640i −0.189233 0.582399i
\(423\) 0.349301 + 7.97057i 0.0169836 + 0.387542i
\(424\) 11.4302 0.555097
\(425\) 18.9900 8.74437i 0.921149 0.424164i
\(426\) 2.15193 + 28.9259i 0.104261 + 1.40147i
\(427\) −3.22279 + 30.6628i −0.155961 + 1.48387i
\(428\) −15.5932 + 17.3180i −0.753727 + 0.837098i
\(429\) 9.42020 + 7.29267i 0.454811 + 0.352094i
\(430\) −15.4615 8.79679i −0.745620 0.424219i
\(431\) 1.26581 3.89577i 0.0609720 0.187653i −0.915931 0.401336i \(-0.868546\pi\)
0.976903 + 0.213683i \(0.0685460\pi\)
\(432\) −14.3448 4.45033i −0.690163 0.214117i
\(433\) −5.45724 + 16.7957i −0.262258 + 0.807148i 0.730054 + 0.683389i \(0.239495\pi\)
−0.992312 + 0.123758i \(0.960505\pi\)
\(434\) −1.42592 13.5667i −0.0684464 0.651224i
\(435\) −6.38177 + 1.90456i −0.305982 + 0.0913165i
\(436\) 3.87889 36.9052i 0.185765 1.76744i
\(437\) −0.591351 0.263286i −0.0282882 0.0125947i
\(438\) −12.4286 14.6788i −0.593860 0.701380i
\(439\) −32.9032 + 14.6495i −1.57039 + 0.699181i −0.993090 0.117355i \(-0.962559\pi\)
−0.577296 + 0.816535i \(0.695892\pi\)
\(440\) 3.84467 + 1.22238i 0.183288 + 0.0582747i
\(441\) 38.0516 37.4054i 1.81198 1.78121i
\(442\) 9.92250 30.5383i 0.471965 1.45256i
\(443\) 13.2256 22.9075i 0.628368 1.08837i −0.359511 0.933141i \(-0.617056\pi\)
0.987879 0.155225i \(-0.0496103\pi\)
\(444\) 24.9984 26.1180i 1.18637 1.23950i
\(445\) 0.684472 0.400974i 0.0324471 0.0190080i
\(446\) −33.0163 + 36.6684i −1.56337 + 1.73630i
\(447\) −2.76491 + 20.3285i −0.130776 + 0.961505i
\(448\) −50.5636 + 22.5124i −2.38891 + 1.06361i
\(449\) 10.4625 0.493754 0.246877 0.969047i \(-0.420596\pi\)
0.246877 + 0.969047i \(0.420596\pi\)
\(450\) −4.82356 + 31.2815i −0.227385 + 1.47462i
\(451\) −7.02549 −0.330817
\(452\) −30.9797 + 13.7930i −1.45716 + 0.648770i
\(453\) −6.86235 + 2.80811i −0.322421 + 0.131937i
\(454\) 10.3778 11.5258i 0.487056 0.540930i
\(455\) 8.67404 + 39.5756i 0.406645 + 1.85533i
\(456\) −0.121402 0.416384i −0.00568515 0.0194990i
\(457\) 9.24720 16.0166i 0.432566 0.749226i −0.564528 0.825414i \(-0.690942\pi\)
0.997093 + 0.0761884i \(0.0242750\pi\)
\(458\) 12.7496 39.2394i 0.595752 1.83354i
\(459\) −16.3385 14.3214i −0.762616 0.668467i
\(460\) 12.8439 4.26325i 0.598851 0.198775i
\(461\) 5.84042 2.60032i 0.272015 0.121109i −0.266196 0.963919i \(-0.585767\pi\)
0.538211 + 0.842810i \(0.319100\pi\)
\(462\) 11.6175 32.3656i 0.540494 1.50579i
\(463\) 18.8682 + 8.40068i 0.876882 + 0.390413i 0.795273 0.606252i \(-0.207328\pi\)
0.0816088 + 0.996664i \(0.473994\pi\)
\(464\) 0.519545 4.94314i 0.0241193 0.229479i
\(465\) 3.81760 3.27405i 0.177037 0.151831i
\(466\) −0.721675 6.86628i −0.0334309 0.318074i
\(467\) 6.17441 19.0029i 0.285718 0.879349i −0.700465 0.713687i \(-0.747024\pi\)
0.986183 0.165662i \(-0.0529760\pi\)
\(468\) 16.6718 + 20.9524i 0.770656 + 0.968525i
\(469\) −17.0392 + 52.4413i −0.786798 + 2.42152i
\(470\) −2.53115 + 12.2899i −0.116753 + 0.566889i
\(471\) 3.62724 26.6686i 0.167134 1.22883i
\(472\) −7.06962 + 7.85161i −0.325406 + 0.361399i
\(473\) −0.744794 + 7.08624i −0.0342457 + 0.325826i
\(474\) −17.9704 8.66607i −0.825406 0.398046i
\(475\) 1.19128 0.548554i 0.0546598 0.0251694i
\(476\) −51.0519 −2.33996
\(477\) 30.2908 19.3043i 1.38692 0.883882i
\(478\) 6.71774 + 20.6751i 0.307262 + 0.945656i
\(479\) −9.35664 1.98882i −0.427516 0.0908713i −0.0108716 0.999941i \(-0.503461\pi\)
−0.416644 + 0.909070i \(0.636794\pi\)
\(480\) −26.4789 16.1520i −1.20859 0.737233i
\(481\) 30.2988 6.44020i 1.38151 0.293648i
\(482\) −13.1442 22.7664i −0.598702 1.03698i
\(483\) −5.95649 20.4296i −0.271030 0.929580i
\(484\) 1.90423 + 18.1175i 0.0865560 + 0.823525i
\(485\) −12.7986 + 17.8522i −0.581155 + 0.810625i
\(486\) 31.7311 8.66474i 1.43935 0.393041i
\(487\) 7.67079 5.57316i 0.347597 0.252544i −0.400263 0.916400i \(-0.631081\pi\)
0.747860 + 0.663856i \(0.231081\pi\)
\(488\) 0.617981 + 5.87969i 0.0279747 + 0.266161i
\(489\) 28.3141 + 0.862771i 1.28041 + 0.0390159i
\(490\) 72.4095 42.4185i 3.27113 1.91627i
\(491\) −14.6838 6.53765i −0.662671 0.295040i 0.0477061 0.998861i \(-0.484809\pi\)
−0.710377 + 0.703821i \(0.751476\pi\)
\(492\) −15.3383 3.75193i −0.691502 0.169150i
\(493\) 3.59505 6.22680i 0.161913 0.280441i
\(494\) 0.622460 1.91573i 0.0280058 0.0861930i
\(495\) 12.2531 3.25383i 0.550738 0.146249i
\(496\) 1.15987 + 3.56970i 0.0520795 + 0.160284i
\(497\) 38.6487 + 8.21503i 1.73363 + 0.368495i
\(498\) 8.06234 + 15.0018i 0.361282 + 0.672247i
\(499\) 6.24043 + 10.8087i 0.279360 + 0.483866i 0.971226 0.238160i \(-0.0765443\pi\)
−0.691866 + 0.722026i \(0.743211\pi\)
\(500\) −10.6750 + 25.2556i −0.477402 + 1.12946i
\(501\) −19.4919 9.39983i −0.870835 0.419953i
\(502\) 18.1533 8.08237i 0.810221 0.360734i
\(503\) −5.36522 16.5124i −0.239223 0.736253i −0.996533 0.0831977i \(-0.973487\pi\)
0.757310 0.653056i \(-0.226513\pi\)
\(504\) 7.86782 11.8912i 0.350461 0.529675i
\(505\) −16.6555 22.6220i −0.741159 1.00667i
\(506\) −6.58506 7.31345i −0.292742 0.325123i
\(507\) 0.0314990 + 0.423405i 0.00139892 + 0.0188041i
\(508\) −48.3162 + 10.2699i −2.14369 + 0.455655i
\(509\) 29.6289 + 13.1916i 1.31328 + 0.584708i 0.939417 0.342777i \(-0.111368\pi\)
0.373860 + 0.927485i \(0.378034\pi\)
\(510\) −19.4121 28.1215i −0.859582 1.24524i
\(511\) −23.9353 + 10.6567i −1.05883 + 0.471423i
\(512\) 23.1918 16.8499i 1.02494 0.744666i
\(513\) −1.02495 0.898415i −0.0452526 0.0396660i
\(514\) −47.9589 34.8442i −2.11537 1.53691i
\(515\) −1.07999 2.38498i −0.0475900 0.105095i
\(516\) −5.41043 + 15.0731i −0.238181 + 0.663558i
\(517\) 4.91617 1.04496i 0.216213 0.0459575i
\(518\) −44.7059 77.4328i −1.96426 3.40220i
\(519\) 2.59769 + 0.635428i 0.114026 + 0.0278922i
\(520\) 3.20473 + 7.07713i 0.140537 + 0.310352i
\(521\) 8.34413 + 25.6806i 0.365563 + 1.12509i 0.949628 + 0.313380i \(0.101461\pi\)
−0.584065 + 0.811707i \(0.698539\pi\)
\(522\) 4.85860 + 9.74087i 0.212655 + 0.426346i
\(523\) −3.95871 2.87617i −0.173102 0.125766i 0.497861 0.867257i \(-0.334119\pi\)
−0.670963 + 0.741491i \(0.734119\pi\)
\(524\) 21.3109 36.9115i 0.930970 1.61249i
\(525\) 39.0694 + 18.2354i 1.70513 + 0.795860i
\(526\) −18.0425 31.2506i −0.786692 1.36259i
\(527\) −0.567552 + 5.39990i −0.0247230 + 0.235223i
\(528\) −1.27514 + 9.37529i −0.0554935 + 0.408007i
\(529\) 16.5404 + 3.51576i 0.719146 + 0.152859i
\(530\) 53.6158 17.7965i 2.32892 0.773031i
\(531\) −5.47452 + 32.7472i −0.237574 + 1.42111i
\(532\) −3.20260 −0.138850
\(533\) −9.05268 10.0540i −0.392115 0.435488i
\(534\) −0.837827 0.989518i −0.0362563 0.0428206i
\(535\) −8.51931 + 19.4651i −0.368322 + 0.841550i
\(536\) −1.10521 + 10.5154i −0.0477379 + 0.454196i
\(537\) −9.33703 + 26.0124i −0.402923 + 1.12252i
\(538\) 2.65651 + 25.2750i 0.114530 + 1.08968i
\(539\) −27.1941 19.7577i −1.17133 0.851023i
\(540\) 28.4891 0.560133i 1.22598 0.0241043i
\(541\) 25.4678 18.5035i 1.09495 0.795526i 0.114720 0.993398i \(-0.463403\pi\)
0.980228 + 0.197872i \(0.0634030\pi\)
\(542\) −1.80348 2.00297i −0.0774663 0.0860350i
\(543\) 18.3532 12.4984i 0.787609 0.536358i
\(544\) 32.7538 6.96204i 1.40431 0.298495i
\(545\) −7.24381 33.0502i −0.310291 1.41571i
\(546\) 61.2875 25.0792i 2.62286 1.07329i
\(547\) −30.7463 6.53533i −1.31462 0.279431i −0.503339 0.864089i \(-0.667895\pi\)
−0.811279 + 0.584659i \(0.801228\pi\)
\(548\) 21.4622 + 15.5932i 0.916818 + 0.666107i
\(549\) 11.5679 + 14.5379i 0.493704 + 0.620464i
\(550\) 19.9375 0.252222i 0.850140 0.0107548i
\(551\) 0.225525 0.390621i 0.00960769 0.0166410i
\(552\) −1.93170 3.59438i −0.0822188 0.152987i
\(553\) −18.1851 + 20.1966i −0.773309 + 0.858847i
\(554\) −12.1047 + 13.4436i −0.514279 + 0.571165i
\(555\) 14.1305 29.7816i 0.599806 1.26416i
\(556\) 19.5961 + 21.7637i 0.831061 + 0.922987i
\(557\) −30.0863 −1.27480 −0.637399 0.770534i \(-0.719990\pi\)
−0.637399 + 0.770534i \(0.719990\pi\)
\(558\) −6.34370 5.22761i −0.268550 0.221303i
\(559\) −11.1007 + 8.06511i −0.469509 + 0.341118i
\(560\) −23.7760 + 21.6819i −1.00472 + 0.916227i
\(561\) −7.20138 + 11.6394i −0.304043 + 0.491417i
\(562\) 9.34202 + 4.15933i 0.394069 + 0.175451i
\(563\) 30.5015 + 13.5802i 1.28549 + 0.572336i 0.931781 0.363021i \(-0.118255\pi\)
0.353706 + 0.935357i \(0.384921\pi\)
\(564\) 11.2912 + 0.344058i 0.475445 + 0.0144875i
\(565\) −22.8465 + 20.8342i −0.961160 + 0.876503i
\(566\) 29.8659 21.6989i 1.25536 0.912071i
\(567\) 0.767425 44.8004i 0.0322288 1.88144i
\(568\) 7.57659 0.317907
\(569\) −2.34522 2.60463i −0.0983167 0.109192i 0.691978 0.721918i \(-0.256739\pi\)
−0.790295 + 0.612727i \(0.790073\pi\)
\(570\) −1.21776 1.76412i −0.0510065 0.0738910i
\(571\) −7.08646 + 7.87032i −0.296559 + 0.329362i −0.872948 0.487813i \(-0.837795\pi\)
0.576389 + 0.817176i \(0.304461\pi\)
\(572\) 11.2869 12.5353i 0.471927 0.524128i
\(573\) 3.86442 6.24597i 0.161438 0.260929i
\(574\) −19.5259 + 33.8198i −0.814994 + 1.41161i
\(575\) 9.88998 7.37842i 0.412441 0.307701i
\(576\) −12.2186 + 31.0335i −0.509109 + 1.29306i
\(577\) −3.99944 2.90577i −0.166499 0.120969i 0.501416 0.865207i \(-0.332813\pi\)
−0.667914 + 0.744238i \(0.732813\pi\)
\(578\) 0.997579 + 0.212042i 0.0414938 + 0.00881978i
\(579\) 2.05884 15.1373i 0.0855626 0.629085i
\(580\) 2.01887 + 9.21117i 0.0838290 + 0.382473i
\(581\) 22.6929 4.82352i 0.941459 0.200113i
\(582\) 32.3386 + 15.5950i 1.34048 + 0.646435i
\(583\) −15.1410 16.8158i −0.627075 0.696437i
\(584\) −4.06452 + 2.95305i −0.168191 + 0.122198i
\(585\) 20.4453 + 13.3425i 0.845308 + 0.551644i
\(586\) 14.3516 + 10.4271i 0.592861 + 0.430738i
\(587\) −0.627144 5.96688i −0.0258850 0.246280i −0.999811 0.0194157i \(-0.993819\pi\)
0.973926 0.226864i \(-0.0728473\pi\)
\(588\) −48.8195 57.6584i −2.01328 2.37779i
\(589\) −0.0356038 + 0.338747i −0.00146703 + 0.0139578i
\(590\) −20.9369 + 47.8370i −0.861958 + 1.96942i
\(591\) −2.39303 + 6.66686i −0.0984363 + 0.274238i
\(592\) 16.4615 + 18.2824i 0.676564 + 0.751401i
\(593\) −16.6115 −0.682154 −0.341077 0.940035i \(-0.610792\pi\)
−0.341077 + 0.940035i \(0.610792\pi\)
\(594\) −8.67979 18.8158i −0.356136 0.772023i
\(595\) −44.1779 + 14.6638i −1.81112 + 0.601158i
\(596\) 28.4136 + 6.03949i 1.16386 + 0.247387i
\(597\) −12.2229 9.46237i −0.500249 0.387269i
\(598\) 1.98095 18.8475i 0.0810071 0.770731i
\(599\) −0.620339 1.07446i −0.0253464 0.0439012i 0.853074 0.521790i \(-0.174736\pi\)
−0.878420 + 0.477889i \(0.841402\pi\)
\(600\) 8.05500 + 1.86269i 0.328844 + 0.0760439i
\(601\) −2.82824 + 4.89865i −0.115366 + 0.199820i −0.917926 0.396751i \(-0.870137\pi\)
0.802560 + 0.596572i \(0.203471\pi\)
\(602\) 32.0423 + 23.2801i 1.30595 + 0.948825i
\(603\) 14.8304 + 29.7332i 0.603942 + 1.21083i
\(604\) 3.24422 + 9.98467i 0.132005 + 0.406270i
\(605\) 6.85180 + 15.1311i 0.278565 + 0.615167i
\(606\) −31.7483 + 33.1701i −1.28969 + 1.34744i
\(607\) −5.26012 9.11080i −0.213502 0.369796i 0.739306 0.673369i \(-0.235154\pi\)
−0.952808 + 0.303573i \(0.901820\pi\)
\(608\) 2.05472 0.436744i 0.0833299 0.0177123i
\(609\) 14.5913 2.63976i 0.591268 0.106968i
\(610\) 12.0533 + 26.6179i 0.488026 + 1.07773i
\(611\) 7.83015 + 5.68894i 0.316774 + 0.230150i
\(612\) −21.9383 + 21.5657i −0.886801 + 0.871741i
\(613\) −4.40840 + 3.20289i −0.178054 + 0.129364i −0.673242 0.739422i \(-0.735099\pi\)
0.495189 + 0.868785i \(0.335099\pi\)
\(614\) −5.84631 + 2.60295i −0.235938 + 0.105046i
\(615\) −14.3507 + 1.15893i −0.578675 + 0.0467324i
\(616\) −8.20576 3.65344i −0.330619 0.147201i
\(617\) −3.55096 + 0.754779i −0.142956 + 0.0303863i −0.278834 0.960339i \(-0.589948\pi\)
0.135878 + 0.990726i \(0.456615\pi\)
\(618\) −3.53695 + 2.40864i −0.142277 + 0.0968898i
\(619\) −27.2899 30.3086i −1.09688 1.21820i −0.974183 0.225759i \(-0.927514\pi\)
−0.122692 0.992445i \(-0.539153\pi\)
\(620\) −4.22196 5.73441i −0.169558 0.230299i
\(621\) −11.1897 6.26293i −0.449026 0.251323i
\(622\) −5.33924 16.4325i −0.214084 0.658883i
\(623\) −1.61351 + 0.718380i −0.0646439 + 0.0287813i
\(624\) −15.0599 + 10.2557i −0.602877 + 0.410556i
\(625\) −1.98341 + 24.9212i −0.0793364 + 0.996848i
\(626\) 4.71522 + 8.16700i 0.188458 + 0.326419i
\(627\) −0.451759 + 0.730166i −0.0180415 + 0.0291600i
\(628\) −37.2753 7.92311i −1.48745 0.316167i
\(629\) 10.9973 + 33.8463i 0.438492 + 1.34954i
\(630\) 18.3915 68.0284i 0.732735 2.71032i
\(631\) −9.01249 + 27.7376i −0.358781 + 1.10422i 0.595003 + 0.803724i \(0.297151\pi\)
−0.953784 + 0.300492i \(0.902849\pi\)
\(632\) −2.60567 + 4.51314i −0.103648 + 0.179523i
\(633\) −7.13997 + 7.45972i −0.283788 + 0.296497i
\(634\) −10.0563 4.47735i −0.399386 0.177818i
\(635\) −38.8607 + 22.7652i −1.54214 + 0.903408i
\(636\) −24.0759 44.7986i −0.954670 1.77638i
\(637\) −6.76615 64.3756i −0.268085 2.55065i
\(638\) 5.54774 4.03067i 0.219637 0.159576i
\(639\) 20.0785 12.7960i 0.794295 0.506203i
\(640\) −9.69568 + 13.5240i −0.383255 + 0.534584i
\(641\) 4.23152 + 40.2602i 0.167135 + 1.59018i 0.680981 + 0.732301i \(0.261554\pi\)
−0.513845 + 0.857883i \(0.671780\pi\)
\(642\) 33.7341 + 8.25177i 1.33138 + 0.325671i
\(643\) −15.6337 27.0784i −0.616534 1.06787i −0.990113 0.140270i \(-0.955203\pi\)
0.373579 0.927598i \(-0.378130\pi\)
\(644\) −29.4725 + 6.26457i −1.16138 + 0.246859i
\(645\) −0.352412 + 14.5976i −0.0138762 + 0.574782i
\(646\) 2.26369 + 0.481163i 0.0890638 + 0.0189311i
\(647\) 0.524957 + 1.61565i 0.0206382 + 0.0635179i 0.960845 0.277086i \(-0.0893686\pi\)
−0.940207 + 0.340604i \(0.889369\pi\)
\(648\) −1.64216 8.43352i −0.0645099 0.331300i
\(649\) 20.9159 0.821020
\(650\) 26.0515 + 28.2072i 1.02182 + 1.10638i
\(651\) −9.25527 + 6.30279i −0.362743 + 0.247026i
\(652\) 4.19252 39.8891i 0.164192 1.56218i
\(653\) −14.5114 + 16.1165i −0.567873 + 0.630687i −0.956858 0.290557i \(-0.906159\pi\)
0.388984 + 0.921244i \(0.372826\pi\)
\(654\) −51.1820 + 20.9440i −2.00137 + 0.818974i
\(655\) 7.83919 38.0627i 0.306302 1.48723i
\(656\) 3.32037 10.2191i 0.129639 0.398987i
\(657\) −5.78392 + 14.6903i −0.225652 + 0.573124i
\(658\) 8.63314 26.5701i 0.336555 1.03581i
\(659\) 2.72006 + 25.8797i 0.105959 + 1.00813i 0.910297 + 0.413957i \(0.135853\pi\)
−0.804338 + 0.594172i \(0.797480\pi\)
\(660\) −3.30729 17.6433i −0.128736 0.686766i
\(661\) 3.22287 30.6635i 0.125355 1.19267i −0.733222 0.679989i \(-0.761984\pi\)
0.858577 0.512684i \(-0.171349\pi\)
\(662\) 28.2834 + 12.5926i 1.09927 + 0.489425i
\(663\) −25.9363 + 4.69222i −1.00728 + 0.182231i
\(664\) 4.06405 1.80943i 0.157716 0.0702195i
\(665\) −2.77137 + 0.919894i −0.107469 + 0.0356720i
\(666\) −51.9209 14.3899i −2.01190 0.557596i
\(667\) 1.31135 4.03591i 0.0507755 0.156271i
\(668\) −15.3202 + 26.5353i −0.592755 + 1.02668i
\(669\) 39.3424 + 9.62364i 1.52107 + 0.372071i
\(670\) 11.1880 + 51.0457i 0.432230 + 1.97207i
\(671\) 7.83145 8.69771i 0.302330 0.335771i
\(672\) 54.6063 + 42.2736i 2.10649 + 1.63074i
\(673\) −14.2679 + 6.35249i −0.549988 + 0.244871i −0.662866 0.748738i \(-0.730660\pi\)
0.112877 + 0.993609i \(0.463993\pi\)
\(674\) −69.4600 −2.67550
\(675\) 24.4922 8.66775i 0.942707 0.333622i
\(676\) 0.601159 0.0231215
\(677\) 28.3662 12.6294i 1.09020 0.485389i 0.218705 0.975791i \(-0.429817\pi\)
0.871496 + 0.490402i \(0.163150\pi\)
\(678\) 39.9616 + 30.9364i 1.53472 + 1.18810i
\(679\) 32.7250 36.3448i 1.25587 1.39479i
\(680\) −7.70153 + 4.51167i −0.295340 + 0.173015i
\(681\) −12.3663 3.02494i −0.473877 0.115916i
\(682\) −2.58920 + 4.48462i −0.0991455 + 0.171725i
\(683\) −9.43573 + 29.0402i −0.361048 + 1.11119i 0.591371 + 0.806400i \(0.298587\pi\)
−0.952419 + 0.304792i \(0.901413\pi\)
\(684\) −1.37624 + 1.35286i −0.0526217 + 0.0517280i
\(685\) 23.0512 + 7.32893i 0.880742 + 0.280024i
\(686\) −103.513 + 46.0868i −3.95213 + 1.75960i
\(687\) −33.3261 + 6.02914i −1.27147 + 0.230026i
\(688\) −9.95543 4.43244i −0.379547 0.168985i
\(689\) 4.55478 43.3359i 0.173523 1.65096i
\(690\) −14.6575 13.8526i −0.558000 0.527360i
\(691\) −0.596493 5.67525i −0.0226917 0.215897i −0.999992 0.00403748i \(-0.998715\pi\)
0.977300 0.211859i \(-0.0679518\pi\)
\(692\) 1.17010 3.60121i 0.0444807 0.136898i
\(693\) −27.9161 + 4.17673i −1.06045 + 0.158661i
\(694\) 1.08203 3.33016i 0.0410735 0.126411i
\(695\) 23.2088 + 13.2046i 0.880361 + 0.500879i
\(696\) 2.63155 1.07684i 0.0997485 0.0408177i
\(697\) 10.4007 11.5511i 0.393954 0.437530i
\(698\) −2.46291 + 23.4330i −0.0932226 + 0.886954i
\(699\) −4.68420 + 3.18991i −0.177173 + 0.120654i
\(700\) 29.8527 53.2508i 1.12832 2.01269i
\(701\) −0.904318 −0.0341556 −0.0170778 0.999854i \(-0.505436\pi\)
−0.0170778 + 0.999854i \(0.505436\pi\)
\(702\) 15.7426 36.6666i 0.594167 1.38389i
\(703\) 0.689886 + 2.12325i 0.0260196 + 0.0800800i
\(704\) 20.5517 + 4.36839i 0.774569 + 0.164640i
\(705\) 9.86969 2.94548i 0.371714 0.110933i
\(706\) 10.7053 2.27548i 0.402900 0.0856390i
\(707\) 31.2731 + 54.1666i 1.17615 + 2.03714i
\(708\) 45.6642 + 11.1700i 1.71616 + 0.419795i
\(709\) −0.445820 4.24169i −0.0167431 0.159300i 0.982956 0.183843i \(-0.0588537\pi\)
−0.999699 + 0.0245427i \(0.992187\pi\)
\(710\) 35.5398 11.7966i 1.33378 0.442719i
\(711\) 0.716995 + 16.3609i 0.0268894 + 0.613580i
\(712\) −0.273995 + 0.199069i −0.0102684 + 0.00746042i
\(713\) 0.334970 + 3.18703i 0.0125447 + 0.119355i
\(714\) 36.0159 + 67.0159i 1.34786 + 2.50801i
\(715\) 6.16654 14.0894i 0.230616 0.526915i
\(716\) 35.7489 + 15.9165i 1.33600 + 0.594826i
\(717\) 12.3386 12.8912i 0.460794 0.481430i
\(718\) −8.98759 + 15.5670i −0.335414 + 0.580954i
\(719\) −11.3582 + 34.9568i −0.423588 + 1.30367i 0.480752 + 0.876857i \(0.340364\pi\)
−0.904340 + 0.426813i \(0.859636\pi\)
\(720\) −1.05814 + 19.3609i −0.0394344 + 0.721537i
\(721\) 1.80131 + 5.54387i 0.0670844 + 0.206465i
\(722\) −39.0734 8.30530i −1.45416 0.309091i
\(723\) −11.3536 + 18.3505i −0.422243 + 0.682462i
\(724\) −15.7199 27.2277i −0.584226 1.01191i
\(725\) 4.39279 + 7.39102i 0.163144 + 0.274496i
\(726\) 22.4395 15.2812i 0.832810 0.567139i
\(727\) −19.5038 + 8.68365i −0.723356 + 0.322059i −0.735181 0.677871i \(-0.762903\pi\)
0.0118246 + 0.999930i \(0.496236\pi\)
\(728\) −5.34516 16.4507i −0.198105 0.609704i
\(729\) −18.5951 19.5760i −0.688708 0.725039i
\(730\) −14.4677 + 20.1803i −0.535475 + 0.746907i
\(731\) −10.5484 11.7152i −0.390147 0.433302i
\(732\) 21.7428 14.8068i 0.803638 0.547273i
\(733\) 42.6873 9.07347i 1.57669 0.335136i 0.665268 0.746605i \(-0.268317\pi\)
0.911424 + 0.411469i \(0.134984\pi\)
\(734\) −14.9512 6.65668i −0.551857 0.245703i
\(735\) −58.8075 35.8722i −2.16915 1.32317i
\(736\) 18.0546 8.03844i 0.665502 0.296301i
\(737\) 16.9340 12.3033i 0.623772 0.453197i
\(738\) 5.89564 + 22.7815i 0.217021 + 0.838597i
\(739\) −19.1599 13.9205i −0.704809 0.512074i 0.176686 0.984267i \(-0.443462\pi\)
−0.881495 + 0.472194i \(0.843462\pi\)
\(740\) −40.5676 23.0808i −1.49129 0.848467i
\(741\) −1.62704 + 0.294353i −0.0597708 + 0.0108133i
\(742\) −123.030 + 26.1508i −4.51658 + 0.960028i
\(743\) 18.4028 + 31.8745i 0.675132 + 1.16936i 0.976430 + 0.215833i \(0.0692466\pi\)
−0.301299 + 0.953530i \(0.597420\pi\)
\(744\) −1.48467 + 1.55116i −0.0544307 + 0.0568683i
\(745\) 26.3225 2.93505i 0.964382 0.107532i
\(746\) 13.2832 + 40.8816i 0.486334 + 1.49678i
\(747\) 7.71411 11.6589i 0.282244 0.426575i
\(748\) 15.6785 + 11.3911i 0.573262 + 0.416499i
\(749\) 23.6539 40.9697i 0.864294 1.49700i
\(750\) 40.6840 3.80411i 1.48557 0.138906i
\(751\) −1.79837 3.11487i −0.0656235 0.113663i 0.831347 0.555754i \(-0.187570\pi\)
−0.896970 + 0.442091i \(0.854237\pi\)
\(752\) −0.803499 + 7.64478i −0.0293006 + 0.278777i
\(753\) −12.8980 9.98499i −0.470028 0.363873i
\(754\) 12.9167 + 2.74554i 0.470400 + 0.0999866i
\(755\) 5.67532 + 7.70841i 0.206546 + 0.280538i
\(756\) −63.1779 5.78970i −2.29776 0.210569i
\(757\) −41.0486 −1.49194 −0.745969 0.665981i \(-0.768013\pi\)
−0.745969 + 0.665981i \(0.768013\pi\)
\(758\) −12.9136 14.3420i −0.469042 0.520924i
\(759\) −2.72912 + 7.60317i −0.0990608 + 0.275978i
\(760\) −0.483134 + 0.283027i −0.0175251 + 0.0102665i
\(761\) 4.80937 45.7581i 0.174339 1.65873i −0.461673 0.887050i \(-0.652751\pi\)
0.636012 0.771679i \(-0.280583\pi\)
\(762\) 47.5674 + 56.1796i 1.72318 + 2.03517i
\(763\) 7.87436 + 74.9195i 0.285071 + 2.71227i
\(764\) −8.41341 6.11270i −0.304386 0.221150i
\(765\) −12.7899 + 24.9633i −0.462421 + 0.902551i
\(766\) −3.67189 + 2.66779i −0.132671 + 0.0963911i
\(767\) 26.9511 + 29.9323i 0.973149 + 1.08079i
\(768\) −10.1907 4.91437i −0.367724 0.177332i
\(769\) 17.1520 3.64577i 0.618516 0.131470i 0.112012 0.993707i \(-0.464271\pi\)
0.506505 + 0.862237i \(0.330937\pi\)
\(770\) −44.1793 4.36110i −1.59211 0.157163i
\(771\) −6.55795