Properties

Label 588.2.ba.a.187.13
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.13
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.a.283.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.147261 + 1.40653i) q^{2} +(0.988831 + 0.149042i) q^{3} +(-1.95663 - 0.414253i) q^{4} +(-0.849860 + 0.333546i) q^{5} +(-0.355248 + 1.36887i) q^{6} +(0.217261 - 2.63682i) q^{7} +(0.870793 - 2.69104i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(-0.147261 + 1.40653i) q^{2} +(0.988831 + 0.149042i) q^{3} +(-1.95663 - 0.414253i) q^{4} +(-0.849860 + 0.333546i) q^{5} +(-0.355248 + 1.36887i) q^{6} +(0.217261 - 2.63682i) q^{7} +(0.870793 - 2.69104i) q^{8} +(0.955573 + 0.294755i) q^{9} +(-0.343989 - 1.24447i) q^{10} +(-1.69734 - 5.50265i) q^{11} +(-1.87303 - 0.701247i) q^{12} +(1.31380 + 0.299866i) q^{13} +(3.67675 + 0.693884i) q^{14} +(-0.890081 + 0.203155i) q^{15} +(3.65679 + 1.62108i) q^{16} +(2.98697 - 4.38108i) q^{17} +(-0.555299 + 1.30063i) q^{18} +(-0.650881 + 1.12736i) q^{19} +(1.80103 - 0.300567i) q^{20} +(0.607831 - 2.57498i) q^{21} +(7.98957 - 1.57703i) q^{22} +(-2.73659 - 4.01384i) q^{23} +(1.26215 - 2.53120i) q^{24} +(-3.05425 + 2.83393i) q^{25} +(-0.615240 + 1.80373i) q^{26} +(0.900969 + 0.433884i) q^{27} +(-1.51741 + 5.06927i) q^{28} +(4.16617 - 2.00632i) q^{29} +(-0.154668 - 1.28184i) q^{30} +(3.03112 + 5.25006i) q^{31} +(-2.81859 + 4.90464i) q^{32} +(-0.858258 - 5.69417i) q^{33} +(5.72223 + 4.84641i) q^{34} +(0.694857 + 2.31339i) q^{35} +(-1.74760 - 0.972576i) q^{36} +(0.0836554 - 1.11630i) q^{37} +(-1.48981 - 1.08150i) q^{38} +(1.25443 + 0.492328i) q^{39} +(0.157533 + 2.57746i) q^{40} +(0.134652 + 0.107381i) q^{41} +(3.53227 + 1.23413i) q^{42} +(3.11463 - 2.48383i) q^{43} +(1.04158 + 11.4698i) q^{44} +(-0.910418 + 0.0682264i) q^{45} +(6.04856 - 3.25800i) q^{46} +(0.0410181 + 0.0380593i) q^{47} +(3.37434 + 2.14799i) q^{48} +(-6.90560 - 1.14575i) q^{49} +(-3.53622 - 4.71321i) q^{50} +(3.60657 - 3.88696i) q^{51} +(-2.44639 - 1.13097i) q^{52} +(-0.0604962 - 0.807265i) q^{53} +(-0.742946 + 1.20334i) q^{54} +(3.27789 + 4.11034i) q^{55} +(-6.90660 - 2.88078i) q^{56} +(-0.811635 + 1.01776i) q^{57} +(2.20843 + 6.15528i) q^{58} +(5.54451 - 14.1272i) q^{59} +(1.82571 - 0.0287802i) q^{60} +(-4.38442 - 0.328567i) q^{61} +(-7.83071 + 3.49022i) q^{62} +(0.984824 - 2.45563i) q^{63} +(-6.48344 - 4.68669i) q^{64} +(-1.21656 + 0.183367i) q^{65} +(8.13538 - 0.368631i) q^{66} +(0.321919 - 0.185860i) q^{67} +(-7.65926 + 7.33478i) q^{68} +(-2.10779 - 4.37688i) q^{69} +(-3.35617 + 0.636661i) q^{70} +(-6.19723 + 12.8687i) q^{71} +(1.62531 - 2.31482i) q^{72} +(3.61598 + 3.89710i) q^{73} +(1.55779 + 0.282052i) q^{74} +(-3.44251 + 2.34706i) q^{75} +(1.74054 - 1.93619i) q^{76} +(-14.8782 + 3.28007i) q^{77} +(-0.877201 + 1.69189i) q^{78} +(11.2694 + 6.50641i) q^{79} +(-3.64846 - 0.157985i) q^{80} +(0.826239 + 0.563320i) q^{81} +(-0.170863 + 0.173578i) q^{82} +(-0.172414 - 0.755397i) q^{83} +(-2.25600 + 4.78649i) q^{84} +(-1.07722 + 4.71959i) q^{85} +(3.03491 + 4.74657i) q^{86} +(4.41867 - 1.36298i) q^{87} +(-16.2859 - 0.224047i) q^{88} +(-0.528691 + 1.71398i) q^{89} +(0.0381071 - 1.29057i) q^{90} +(1.07613 - 3.39909i) q^{91} +(3.69174 + 8.98723i) q^{92} +(2.21479 + 5.64318i) q^{93} +(-0.0595717 + 0.0520884i) q^{94} +(0.177132 - 1.17520i) q^{95} +(-3.51811 + 4.42977i) q^{96} -15.1745i q^{97} +(2.62846 - 9.54417i) q^{98} -5.75849i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + O(q^{10}) \) \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.147261 + 1.40653i −0.104129 + 0.994564i
\(3\) 0.988831 + 0.149042i 0.570902 + 0.0860496i
\(4\) −1.95663 0.414253i −0.978314 0.207127i
\(5\) −0.849860 + 0.333546i −0.380069 + 0.149166i −0.547682 0.836687i \(-0.684489\pi\)
0.167613 + 0.985853i \(0.446394\pi\)
\(6\) −0.355248 + 1.36887i −0.145029 + 0.558838i
\(7\) 0.217261 2.63682i 0.0821170 0.996623i
\(8\) 0.870793 2.69104i 0.307872 0.951428i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) −0.343989 1.24447i −0.108779 0.393536i
\(11\) −1.69734 5.50265i −0.511768 1.65911i −0.730180 0.683255i \(-0.760564\pi\)
0.218411 0.975857i \(-0.429913\pi\)
\(12\) −1.87303 0.701247i −0.540698 0.202433i
\(13\) 1.31380 + 0.299866i 0.364382 + 0.0831678i 0.400792 0.916169i \(-0.368735\pi\)
−0.0364100 + 0.999337i \(0.511592\pi\)
\(14\) 3.67675 + 0.693884i 0.982654 + 0.185448i
\(15\) −0.890081 + 0.203155i −0.229818 + 0.0524544i
\(16\) 3.65679 + 1.62108i 0.914197 + 0.405270i
\(17\) 2.98697 4.38108i 0.724446 1.06257i −0.270555 0.962704i \(-0.587207\pi\)
0.995001 0.0998628i \(-0.0318404\pi\)
\(18\) −0.555299 + 1.30063i −0.130885 + 0.306562i
\(19\) −0.650881 + 1.12736i −0.149322 + 0.258634i −0.930977 0.365077i \(-0.881043\pi\)
0.781655 + 0.623711i \(0.214376\pi\)
\(20\) 1.80103 0.300567i 0.402723 0.0672089i
\(21\) 0.607831 2.57498i 0.132640 0.561908i
\(22\) 7.98957 1.57703i 1.70338 0.336224i
\(23\) −2.73659 4.01384i −0.570618 0.836943i 0.427118 0.904196i \(-0.359529\pi\)
−0.997736 + 0.0672526i \(0.978577\pi\)
\(24\) 1.26215 2.53120i 0.257635 0.516680i
\(25\) −3.05425 + 2.83393i −0.610850 + 0.566786i
\(26\) −0.615240 + 1.80373i −0.120659 + 0.353741i
\(27\) 0.900969 + 0.433884i 0.173392 + 0.0835010i
\(28\) −1.51741 + 5.06927i −0.286763 + 0.958001i
\(29\) 4.16617 2.00632i 0.773639 0.372565i −0.00504004 0.999987i \(-0.501604\pi\)
0.778679 + 0.627422i \(0.215890\pi\)
\(30\) −0.154668 1.28184i −0.0282385 0.234031i
\(31\) 3.03112 + 5.25006i 0.544406 + 0.942938i 0.998644 + 0.0520580i \(0.0165781\pi\)
−0.454238 + 0.890880i \(0.650089\pi\)
\(32\) −2.81859 + 4.90464i −0.498262 + 0.867027i
\(33\) −0.858258 5.69417i −0.149404 0.991227i
\(34\) 5.72223 + 4.84641i 0.981355 + 0.831152i
\(35\) 0.694857 + 2.31339i 0.117452 + 0.391035i
\(36\) −1.74760 0.972576i −0.291266 0.162096i
\(37\) 0.0836554 1.11630i 0.0137529 0.183519i −0.986097 0.166173i \(-0.946859\pi\)
0.999850 0.0173466i \(-0.00552186\pi\)
\(38\) −1.48981 1.08150i −0.241679 0.175442i
\(39\) 1.25443 + 0.492328i 0.200870 + 0.0788355i
\(40\) 0.157533 + 2.57746i 0.0249082 + 0.407532i
\(41\) 0.134652 + 0.107381i 0.0210291 + 0.0167701i 0.633948 0.773376i \(-0.281433\pi\)
−0.612919 + 0.790146i \(0.710005\pi\)
\(42\) 3.53227 + 1.23413i 0.545041 + 0.190430i
\(43\) 3.11463 2.48383i 0.474976 0.378781i −0.356541 0.934280i \(-0.616044\pi\)
0.831517 + 0.555499i \(0.187473\pi\)
\(44\) 1.04158 + 11.4698i 0.157024 + 1.72913i
\(45\) −0.910418 + 0.0682264i −0.135717 + 0.0101706i
\(46\) 6.04856 3.25800i 0.891812 0.480366i
\(47\) 0.0410181 + 0.0380593i 0.00598311 + 0.00555151i 0.683159 0.730270i \(-0.260606\pi\)
−0.677176 + 0.735822i \(0.736796\pi\)
\(48\) 3.37434 + 2.14799i 0.487043 + 0.310036i
\(49\) −6.90560 1.14575i −0.986514 0.163679i
\(50\) −3.53622 4.71321i −0.500097 0.666548i
\(51\) 3.60657 3.88696i 0.505021 0.544283i
\(52\) −2.44639 1.13097i −0.339254 0.156837i
\(53\) −0.0604962 0.807265i −0.00830979 0.110886i 0.991506 0.130058i \(-0.0415163\pi\)
−0.999816 + 0.0191713i \(0.993897\pi\)
\(54\) −0.742946 + 1.20334i −0.101102 + 0.163754i
\(55\) 3.27789 + 4.11034i 0.441991 + 0.554239i
\(56\) −6.90660 2.88078i −0.922933 0.384961i
\(57\) −0.811635 + 1.01776i −0.107504 + 0.134805i
\(58\) 2.20843 + 6.15528i 0.289981 + 0.808228i
\(59\) 5.54451 14.1272i 0.721833 1.83920i 0.216484 0.976286i \(-0.430541\pi\)
0.505349 0.862915i \(-0.331364\pi\)
\(60\) 1.82571 0.0287802i 0.235699 0.00371550i
\(61\) −4.38442 0.328567i −0.561368 0.0420687i −0.208975 0.977921i \(-0.567013\pi\)
−0.352393 + 0.935852i \(0.614632\pi\)
\(62\) −7.83071 + 3.49022i −0.994501 + 0.443258i
\(63\) 0.984824 2.45563i 0.124076 0.309380i
\(64\) −6.48344 4.68669i −0.810430 0.585836i
\(65\) −1.21656 + 0.183367i −0.150896 + 0.0227439i
\(66\) 8.13538 0.368631i 1.00140 0.0453754i
\(67\) 0.321919 0.185860i 0.0393287 0.0227064i −0.480207 0.877155i \(-0.659438\pi\)
0.519535 + 0.854449i \(0.326105\pi\)
\(68\) −7.65926 + 7.33478i −0.928822 + 0.889473i
\(69\) −2.10779 4.37688i −0.253748 0.526914i
\(70\) −3.35617 + 0.636661i −0.401139 + 0.0760955i
\(71\) −6.19723 + 12.8687i −0.735476 + 1.52723i 0.110421 + 0.993885i \(0.464780\pi\)
−0.845897 + 0.533346i \(0.820934\pi\)
\(72\) 1.62531 2.31482i 0.191544 0.272804i
\(73\) 3.61598 + 3.89710i 0.423218 + 0.456121i 0.908282 0.418358i \(-0.137394\pi\)
−0.485064 + 0.874479i \(0.661204\pi\)
\(74\) 1.55779 + 0.282052i 0.181090 + 0.0327879i
\(75\) −3.44251 + 2.34706i −0.397507 + 0.271016i
\(76\) 1.74054 1.93619i 0.199654 0.222097i
\(77\) −14.8782 + 3.28007i −1.69553 + 0.373799i
\(78\) −0.877201 + 1.69189i −0.0993234 + 0.191569i
\(79\) 11.2694 + 6.50641i 1.26791 + 0.732028i 0.974592 0.223987i \(-0.0719074\pi\)
0.293317 + 0.956015i \(0.405241\pi\)
\(80\) −3.64846 0.157985i −0.407911 0.0176633i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) −0.170863 + 0.173578i −0.0188687 + 0.0191685i
\(83\) −0.172414 0.755397i −0.0189249 0.0829156i 0.964584 0.263777i \(-0.0849685\pi\)
−0.983509 + 0.180862i \(0.942111\pi\)
\(84\) −2.25600 + 4.78649i −0.246149 + 0.522249i
\(85\) −1.07722 + 4.71959i −0.116841 + 0.511912i
\(86\) 3.03491 + 4.74657i 0.327263 + 0.511836i
\(87\) 4.41867 1.36298i 0.473731 0.146127i
\(88\) −16.2859 0.224047i −1.73608 0.0238834i
\(89\) −0.528691 + 1.71398i −0.0560412 + 0.181681i −0.979266 0.202580i \(-0.935067\pi\)
0.923225 + 0.384261i \(0.125544\pi\)
\(90\) 0.0381071 1.29057i 0.00401684 0.136038i
\(91\) 1.07613 3.39909i 0.112809 0.356322i
\(92\) 3.69174 + 8.98723i 0.384891 + 0.936984i
\(93\) 2.21479 + 5.64318i 0.229663 + 0.585171i
\(94\) −0.0595717 + 0.0520884i −0.00614435 + 0.00537251i
\(95\) 0.177132 1.17520i 0.0181734 0.120573i
\(96\) −3.51811 + 4.42977i −0.359066 + 0.452112i
\(97\) 15.1745i 1.54074i −0.637600 0.770368i \(-0.720073\pi\)
0.637600 0.770368i \(-0.279927\pi\)
\(98\) 2.62846 9.54417i 0.265515 0.964107i
\(99\) 5.75849i 0.578750i
\(100\) 7.15000 4.27971i 0.715000 0.427971i
\(101\) −0.364680 + 2.41949i −0.0362870 + 0.240748i −0.999620 0.0275596i \(-0.991226\pi\)
0.963333 + 0.268308i \(0.0864645\pi\)
\(102\) 4.93600 + 5.64513i 0.488737 + 0.558952i
\(103\) −1.18900 3.02953i −0.117156 0.298508i 0.860252 0.509868i \(-0.170306\pi\)
−0.977408 + 0.211360i \(0.932211\pi\)
\(104\) 1.95100 3.27437i 0.191311 0.321078i
\(105\) 0.342303 + 2.39112i 0.0334053 + 0.233349i
\(106\) 1.14435 + 0.0337895i 0.111149 + 0.00328192i
\(107\) −4.02975 + 13.0641i −0.389570 + 1.26296i 0.522400 + 0.852700i \(0.325037\pi\)
−0.911971 + 0.410255i \(0.865440\pi\)
\(108\) −1.58312 1.22218i −0.152336 0.117604i
\(109\) 6.35578 1.96050i 0.608773 0.187782i 0.0249851 0.999688i \(-0.492046\pi\)
0.583788 + 0.811906i \(0.301570\pi\)
\(110\) −6.26401 + 4.00514i −0.597250 + 0.381875i
\(111\) 0.249098 1.09137i 0.0236433 0.103588i
\(112\) 5.06897 9.29008i 0.478972 0.877830i
\(113\) −3.60400 15.7902i −0.339036 1.48541i −0.801080 0.598557i \(-0.795741\pi\)
0.462044 0.886857i \(-0.347116\pi\)
\(114\) −1.31198 1.29146i −0.122878 0.120957i
\(115\) 3.66452 + 2.49843i 0.341718 + 0.232979i
\(116\) −8.98278 + 2.19978i −0.834030 + 0.204244i
\(117\) 1.16704 + 0.673792i 0.107893 + 0.0622921i
\(118\) 19.0537 + 9.87887i 1.75404 + 0.909424i
\(119\) −10.9031 8.82792i −0.999489 0.809254i
\(120\) −0.228377 + 2.57215i −0.0208479 + 0.234804i
\(121\) −18.3096 + 12.4833i −1.66451 + 1.13484i
\(122\) 1.10779 6.11841i 0.100295 0.553935i
\(123\) 0.117143 + 0.126251i 0.0105625 + 0.0113836i
\(124\) −3.75593 11.5281i −0.337292 1.03525i
\(125\) 3.63106 7.53997i 0.324772 0.674395i
\(126\) 3.30888 + 1.74680i 0.294779 + 0.155617i
\(127\) 8.90409 + 18.4895i 0.790110 + 1.64068i 0.767596 + 0.640934i \(0.221453\pi\)
0.0225140 + 0.999747i \(0.492833\pi\)
\(128\) 7.54670 8.42895i 0.667041 0.745021i
\(129\) 3.45004 1.99188i 0.303759 0.175375i
\(130\) −0.0787584 1.73813i −0.00690757 0.152444i
\(131\) −2.89160 + 0.435838i −0.252640 + 0.0380794i −0.274141 0.961689i \(-0.588394\pi\)
0.0215011 + 0.999769i \(0.493155\pi\)
\(132\) −0.679537 + 11.4969i −0.0591461 + 1.00068i
\(133\) 2.83123 + 1.96118i 0.245499 + 0.170056i
\(134\) 0.214011 + 0.480158i 0.0184877 + 0.0414793i
\(135\) −0.910418 0.0682264i −0.0783563 0.00587199i
\(136\) −9.18864 11.8531i −0.787919 1.01639i
\(137\) −2.69164 + 6.85818i −0.229962 + 0.585934i −0.998551 0.0538087i \(-0.982864\pi\)
0.768589 + 0.639743i \(0.220959\pi\)
\(138\) 6.46658 2.32012i 0.550472 0.197502i
\(139\) 7.81928 9.80507i 0.663223 0.831655i −0.330467 0.943817i \(-0.607206\pi\)
0.993690 + 0.112163i \(0.0357778\pi\)
\(140\) −0.401246 4.81429i −0.0339115 0.406882i
\(141\) 0.0348876 + 0.0437476i 0.00293806 + 0.00368421i
\(142\) −17.1875 10.6116i −1.44234 0.890507i
\(143\) −0.579909 7.73835i −0.0484944 0.647113i
\(144\) 3.01651 + 2.62692i 0.251375 + 0.218910i
\(145\) −2.87147 + 3.09470i −0.238462 + 0.257001i
\(146\) −6.01386 + 4.51208i −0.497711 + 0.373422i
\(147\) −6.65770 2.16218i −0.549118 0.178334i
\(148\) −0.626115 + 2.14954i −0.0514664 + 0.176691i
\(149\) 3.60269 + 3.34281i 0.295144 + 0.273853i 0.813820 0.581118i \(-0.197384\pi\)
−0.518676 + 0.854971i \(0.673575\pi\)
\(150\) −2.79426 5.18761i −0.228150 0.423567i
\(151\) −5.72484 + 0.429018i −0.465881 + 0.0349130i −0.305603 0.952159i \(-0.598858\pi\)
−0.160278 + 0.987072i \(0.551239\pi\)
\(152\) 2.46699 + 2.73325i 0.200099 + 0.221696i
\(153\) 4.14561 3.30601i 0.335153 0.267275i
\(154\) −2.42251 21.4097i −0.195212 1.72524i
\(155\) −4.32716 3.45080i −0.347566 0.277175i
\(156\) −2.25051 1.48295i −0.180185 0.118731i
\(157\) −13.0917 5.13809i −1.04483 0.410065i −0.220030 0.975493i \(-0.570616\pi\)
−0.824797 + 0.565429i \(0.808711\pi\)
\(158\) −10.8110 + 14.8926i −0.860075 + 1.18479i
\(159\) 0.0604962 0.807265i 0.00479766 0.0640203i
\(160\) 0.759488 5.10839i 0.0600428 0.403854i
\(161\) −11.1783 + 6.34383i −0.880974 + 0.499964i
\(162\) −0.913997 + 1.07917i −0.0718104 + 0.0847877i
\(163\) 2.23261 + 14.8124i 0.174871 + 1.16020i 0.888231 + 0.459397i \(0.151935\pi\)
−0.713359 + 0.700798i \(0.752827\pi\)
\(164\) −0.218980 0.265885i −0.0170995 0.0207621i
\(165\) 2.62866 + 4.55298i 0.204641 + 0.354449i
\(166\) 1.08788 0.131265i 0.0844355 0.0101881i
\(167\) −18.2628 + 8.79490i −1.41322 + 0.680570i −0.975795 0.218687i \(-0.929823\pi\)
−0.437422 + 0.899256i \(0.644108\pi\)
\(168\) −6.40010 3.87798i −0.493778 0.299193i
\(169\) −10.0765 4.85256i −0.775112 0.373274i
\(170\) −6.47960 2.21015i −0.496962 0.169510i
\(171\) −0.954259 + 0.885423i −0.0729740 + 0.0677100i
\(172\) −7.12310 + 3.56969i −0.543132 + 0.272186i
\(173\) 6.62398 + 9.71559i 0.503612 + 0.738663i 0.990903 0.134576i \(-0.0429674\pi\)
−0.487291 + 0.873239i \(0.662015\pi\)
\(174\) 1.26637 + 6.41568i 0.0960030 + 0.486372i
\(175\) 6.80898 + 8.66920i 0.514711 + 0.655330i
\(176\) 2.71341 22.8736i 0.204531 1.72416i
\(177\) 7.58812 13.1430i 0.570358 0.987890i
\(178\) −2.33289 0.996020i −0.174858 0.0746548i
\(179\) 13.7740 20.2028i 1.02952 1.51003i 0.179162 0.983820i \(-0.442662\pi\)
0.850357 0.526206i \(-0.176386\pi\)
\(180\) 1.80961 + 0.243650i 0.134881 + 0.0181606i
\(181\) 12.1336 2.76942i 0.901885 0.205849i 0.253655 0.967295i \(-0.418367\pi\)
0.648229 + 0.761445i \(0.275510\pi\)
\(182\) 4.62244 + 2.01416i 0.342638 + 0.149299i
\(183\) −4.28648 0.978361i −0.316866 0.0723225i
\(184\) −13.1844 + 3.86906i −0.971969 + 0.285231i
\(185\) 0.301243 + 0.976605i 0.0221478 + 0.0718015i
\(186\) −8.26343 + 2.28413i −0.605904 + 0.167481i
\(187\) −29.1775 9.00005i −2.13367 0.658149i
\(188\) −0.0644911 0.0914597i −0.00470349 0.00667039i
\(189\) 1.33982 2.28142i 0.0974573 0.165949i
\(190\) 1.62686 + 0.422202i 0.118025 + 0.0306298i
\(191\) −7.02440 + 2.75687i −0.508268 + 0.199480i −0.605596 0.795772i \(-0.707065\pi\)
0.0973288 + 0.995252i \(0.468970\pi\)
\(192\) −5.71251 5.60065i −0.412265 0.404192i
\(193\) 3.56507 + 0.537348i 0.256619 + 0.0386791i 0.276092 0.961131i \(-0.410961\pi\)
−0.0194725 + 0.999810i \(0.506199\pi\)
\(194\) 21.3433 + 2.23461i 1.53236 + 0.160436i
\(195\) −1.23030 −0.0881039
\(196\) 13.0371 + 5.10248i 0.931218 + 0.364463i
\(197\) 8.60554 0.613119 0.306560 0.951851i \(-0.400822\pi\)
0.306560 + 0.951851i \(0.400822\pi\)
\(198\) 8.09946 + 0.848002i 0.575603 + 0.0602648i
\(199\) 25.1122 + 3.78506i 1.78016 + 0.268316i 0.955004 0.296592i \(-0.0958501\pi\)
0.825154 + 0.564908i \(0.191088\pi\)
\(200\) 4.96661 + 10.6869i 0.351192 + 0.755677i
\(201\) 0.346025 0.135805i 0.0244067 0.00957893i
\(202\) −3.34937 0.869229i −0.235661 0.0611587i
\(203\) −4.38516 11.4213i −0.307778 0.801620i
\(204\) −8.66691 + 6.11130i −0.606805 + 0.427877i
\(205\) −0.150252 0.0463465i −0.0104940 0.00323698i
\(206\) 4.43620 1.22623i 0.309085 0.0854355i
\(207\) −1.43191 4.64214i −0.0995247 0.322651i
\(208\) 4.31817 + 3.22632i 0.299411 + 0.223705i
\(209\) 7.30823 + 1.66806i 0.505521 + 0.115382i
\(210\) −3.41357 + 0.129339i −0.235559 + 0.00892523i
\(211\) −27.1535 + 6.19760i −1.86932 + 0.426660i −0.997952 0.0639670i \(-0.979625\pi\)
−0.871369 + 0.490627i \(0.836768\pi\)
\(212\) −0.216044 + 1.60458i −0.0148380 + 0.110203i
\(213\) −8.04599 + 11.8013i −0.551302 + 0.808612i
\(214\) −17.7816 7.59178i −1.21552 0.518963i
\(215\) −1.81853 + 3.14978i −0.124022 + 0.214813i
\(216\) 1.95216 2.04672i 0.132828 0.139262i
\(217\) 14.5020 6.85188i 0.984458 0.465136i
\(218\) 1.82153 + 9.22827i 0.123370 + 0.625017i
\(219\) 2.99476 + 4.39251i 0.202367 + 0.296818i
\(220\) −4.71089 9.40029i −0.317608 0.633768i
\(221\) 5.23801 4.86016i 0.352346 0.326930i
\(222\) 1.49835 + 0.511078i 0.100563 + 0.0343013i
\(223\) 7.67699 + 3.69704i 0.514089 + 0.247572i 0.672896 0.739737i \(-0.265050\pi\)
−0.158807 + 0.987310i \(0.550765\pi\)
\(224\) 12.3203 + 8.49770i 0.823183 + 0.567776i
\(225\) −3.75387 + 1.80777i −0.250258 + 0.120518i
\(226\) 22.7400 2.74384i 1.51264 0.182518i
\(227\) −3.16689 5.48522i −0.210194 0.364067i 0.741581 0.670863i \(-0.234076\pi\)
−0.951775 + 0.306796i \(0.900743\pi\)
\(228\) 2.00968 1.65515i 0.133094 0.109615i
\(229\) 0.381374 + 2.53025i 0.0252019 + 0.167204i 0.997891 0.0649067i \(-0.0206750\pi\)
−0.972689 + 0.232111i \(0.925437\pi\)
\(230\) −4.05374 + 4.78632i −0.267296 + 0.315600i
\(231\) −15.2009 + 1.02595i −1.00015 + 0.0675023i
\(232\) −1.77123 12.9585i −0.116287 0.850764i
\(233\) −1.11132 + 14.8295i −0.0728050 + 0.971515i 0.834491 + 0.551022i \(0.185762\pi\)
−0.907296 + 0.420493i \(0.861857\pi\)
\(234\) −1.11957 + 1.54225i −0.0731883 + 0.100820i
\(235\) −0.0475542 0.0186636i −0.00310209 0.00121748i
\(236\) −16.7008 + 25.3448i −1.08713 + 1.64981i
\(237\) 10.1738 + 8.11336i 0.660861 + 0.527019i
\(238\) 14.0223 14.0355i 0.908931 0.909789i
\(239\) −2.62384 + 2.09244i −0.169722 + 0.135349i −0.704667 0.709538i \(-0.748904\pi\)
0.534945 + 0.844887i \(0.320332\pi\)
\(240\) −3.58417 0.699996i −0.231357 0.0451846i
\(241\) −8.29821 + 0.621865i −0.534535 + 0.0400578i −0.339263 0.940691i \(-0.610178\pi\)
−0.195271 + 0.980749i \(0.562559\pi\)
\(242\) −14.8617 27.5912i −0.955349 1.77363i
\(243\) 0.733052 + 0.680173i 0.0470253 + 0.0436331i
\(244\) 8.44257 + 2.45914i 0.540480 + 0.157431i
\(245\) 6.25095 1.32960i 0.399359 0.0849450i
\(246\) −0.194825 + 0.146173i −0.0124216 + 0.00931968i
\(247\) −1.19318 + 1.28594i −0.0759204 + 0.0818227i
\(248\) 16.7676 3.58517i 1.06474 0.227658i
\(249\) −0.0579026 0.772657i −0.00366943 0.0489652i
\(250\) 10.0704 + 6.21752i 0.636911 + 0.393230i
\(251\) 14.7390 + 18.4821i 0.930318 + 1.16658i 0.985766 + 0.168120i \(0.0537697\pi\)
−0.0554485 + 0.998462i \(0.517659\pi\)
\(252\) −2.94419 + 4.39679i −0.185466 + 0.276972i
\(253\) −17.4418 + 21.8714i −1.09656 + 1.37504i
\(254\) −27.3172 + 9.80104i −1.71404 + 0.614972i
\(255\) −1.76860 + 4.50633i −0.110754 + 0.282197i
\(256\) 10.7442 + 11.8559i 0.671513 + 0.740993i
\(257\) 28.2765 + 2.11903i 1.76384 + 0.132182i 0.916800 0.399346i \(-0.130763\pi\)
0.847041 + 0.531528i \(0.178382\pi\)
\(258\) 2.29357 + 5.14589i 0.142792 + 0.320369i
\(259\) −2.92531 0.463113i −0.181770 0.0287765i
\(260\) 2.45632 + 0.145183i 0.152335 + 0.00900390i
\(261\) 4.57246 0.689187i 0.283028 0.0426596i
\(262\) −0.187197 4.13129i −0.0115651 0.255232i
\(263\) −0.322401 + 0.186139i −0.0198801 + 0.0114778i −0.509907 0.860229i \(-0.670320\pi\)
0.490027 + 0.871707i \(0.336987\pi\)
\(264\) −16.0706 2.64883i −0.989079 0.163024i
\(265\) 0.320673 + 0.665885i 0.0196988 + 0.0409050i
\(266\) −3.17539 + 3.69339i −0.194695 + 0.226456i
\(267\) −0.778241 + 1.61603i −0.0476276 + 0.0988997i
\(268\) −0.706870 + 0.230303i −0.0431789 + 0.0140680i
\(269\) 18.5824 + 20.0270i 1.13299 + 1.22107i 0.972218 + 0.234077i \(0.0752069\pi\)
0.160769 + 0.986992i \(0.448603\pi\)
\(270\) 0.230031 1.27048i 0.0139993 0.0773189i
\(271\) −5.02178 + 3.42379i −0.305051 + 0.207981i −0.706164 0.708048i \(-0.749576\pi\)
0.401113 + 0.916029i \(0.368624\pi\)
\(272\) 18.0248 11.1786i 1.09291 0.677800i
\(273\) 1.57072 3.20074i 0.0950641 0.193718i
\(274\) −9.24983 4.79580i −0.558803 0.289725i
\(275\) 20.7782 + 11.9963i 1.25297 + 0.723405i
\(276\) 2.31103 + 9.43708i 0.139108 + 0.568045i
\(277\) 18.1809 + 12.3955i 1.09238 + 0.744775i 0.968871 0.247568i \(-0.0796313\pi\)
0.123514 + 0.992343i \(0.460584\pi\)
\(278\) 12.6396 + 12.4419i 0.758073 + 0.746217i
\(279\) 1.34898 + 5.91025i 0.0807611 + 0.353837i
\(280\) 6.83052 + 0.144596i 0.408201 + 0.00864124i
\(281\) 1.24639 5.46081i 0.0743536 0.325764i −0.924048 0.382276i \(-0.875141\pi\)
0.998402 + 0.0565112i \(0.0179977\pi\)
\(282\) −0.0666697 + 0.0426279i −0.00397012 + 0.00253846i
\(283\) 10.4514 3.22385i 0.621274 0.191638i 0.0318910 0.999491i \(-0.489847\pi\)
0.589383 + 0.807854i \(0.299371\pi\)
\(284\) 17.4566 22.6120i 1.03586 1.34178i
\(285\) 0.350308 1.13567i 0.0207504 0.0672713i
\(286\) 10.9696 + 0.323902i 0.648645 + 0.0191527i
\(287\) 0.312399 0.331722i 0.0184403 0.0195809i
\(288\) −4.13904 + 3.85595i −0.243895 + 0.227214i
\(289\) −4.06106 10.3474i −0.238886 0.608672i
\(290\) −3.92992 4.49452i −0.230773 0.263927i
\(291\) 2.26164 15.0050i 0.132580 0.879609i
\(292\) −5.46074 9.12311i −0.319566 0.533890i
\(293\) 21.7184i 1.26880i −0.773005 0.634400i \(-0.781247\pi\)
0.773005 0.634400i \(-0.218753\pi\)
\(294\) 4.02159 9.04582i 0.234544 0.527563i
\(295\) 13.8555i 0.806697i
\(296\) −2.93118 1.19719i −0.170371 0.0695853i
\(297\) 0.858258 5.69417i 0.0498012 0.330409i
\(298\) −5.23228 + 4.57501i −0.303098 + 0.265023i
\(299\) −2.39171 6.09398i −0.138316 0.352424i
\(300\) 7.70799 3.16626i 0.445021 0.182804i
\(301\) −5.87272 8.75234i −0.338498 0.504476i
\(302\) 0.239623 8.11532i 0.0137888 0.466984i
\(303\) −0.721213 + 2.33812i −0.0414326 + 0.134321i
\(304\) −4.20767 + 3.06738i −0.241327 + 0.175927i
\(305\) 3.83574 1.18317i 0.219634 0.0677480i
\(306\) 4.03951 + 6.31775i 0.230923 + 0.361162i
\(307\) 5.91533 25.9168i 0.337606 1.47915i −0.466426 0.884560i \(-0.654459\pi\)
0.804031 0.594587i \(-0.202684\pi\)
\(308\) 30.4700 0.254515i 1.73619 0.0145023i
\(309\) −0.724194 3.17290i −0.0411980 0.180500i
\(310\) 5.49086 5.57810i 0.311860 0.316815i
\(311\) 28.1965 + 19.2240i 1.59887 + 1.09009i 0.941751 + 0.336311i \(0.109179\pi\)
0.657123 + 0.753783i \(0.271773\pi\)
\(312\) 2.41723 2.94701i 0.136848 0.166842i
\(313\) 8.41507 + 4.85844i 0.475648 + 0.274616i 0.718601 0.695423i \(-0.244783\pi\)
−0.242953 + 0.970038i \(0.578116\pi\)
\(314\) 9.15475 17.6571i 0.516633 0.996448i
\(315\) −0.0178979 + 2.41543i −0.00100843 + 0.136094i
\(316\) −19.3548 17.3990i −1.08879 0.978771i
\(317\) −12.8331 + 8.74949i −0.720781 + 0.491420i −0.867299 0.497788i \(-0.834146\pi\)
0.146518 + 0.989208i \(0.453193\pi\)
\(318\) 1.12653 + 0.203968i 0.0631727 + 0.0114380i
\(319\) −18.1115 19.5196i −1.01405 1.09289i
\(320\) 7.07324 + 1.82051i 0.395406 + 0.101769i
\(321\) −5.93184 + 12.3176i −0.331083 + 0.687501i
\(322\) −7.27663 16.6568i −0.405511 0.928246i
\(323\) 2.99489 + 6.21895i 0.166640 + 0.346031i
\(324\) −1.38328 1.44448i −0.0768492 0.0802489i
\(325\) −4.86246 + 2.80734i −0.269721 + 0.155723i
\(326\) −21.1628 + 0.958930i −1.17210 + 0.0531102i
\(327\) 6.57698 0.991321i 0.363708 0.0548202i
\(328\) 0.406221 0.268847i 0.0224298 0.0148446i
\(329\) 0.109267 0.0998885i 0.00602408 0.00550703i
\(330\) −6.79098 + 3.02681i −0.373831 + 0.166620i
\(331\) 16.0191 + 1.20047i 0.880492 + 0.0659838i 0.507299 0.861770i \(-0.330644\pi\)
0.373193 + 0.927754i \(0.378263\pi\)
\(332\) 0.0244253 + 1.54945i 0.00134051 + 0.0850374i
\(333\) 0.408975 1.04205i 0.0224117 0.0571041i
\(334\) −9.68085 26.9822i −0.529712 1.47640i
\(335\) −0.211594 + 0.265330i −0.0115606 + 0.0144965i
\(336\) 6.39696 8.43083i 0.348983 0.459939i
\(337\) 19.4620 + 24.4046i 1.06016 + 1.32940i 0.941704 + 0.336443i \(0.109224\pi\)
0.118459 + 0.992959i \(0.462205\pi\)
\(338\) 8.30912 13.4582i 0.451957 0.732029i
\(339\) −1.21035 16.1510i −0.0657370 0.877200i
\(340\) 4.06282 8.78825i 0.220337 0.476610i
\(341\) 23.7444 25.5904i 1.28583 1.38580i
\(342\) −1.10484 1.47258i −0.0597432 0.0796279i
\(343\) −4.52146 + 17.9599i −0.244136 + 0.969741i
\(344\) −3.97191 10.5445i −0.214151 0.568522i
\(345\) 3.25122 + 3.01669i 0.175040 + 0.162413i
\(346\) −14.6407 + 7.88607i −0.787088 + 0.423958i
\(347\) −2.18941 + 0.164074i −0.117534 + 0.00880794i −0.133367 0.991067i \(-0.542579\pi\)
0.0158333 + 0.999875i \(0.494960\pi\)
\(348\) −9.21031 + 0.836395i −0.493724 + 0.0448355i
\(349\) −24.6428 + 19.6519i −1.31910 + 1.05194i −0.324746 + 0.945801i \(0.605279\pi\)
−0.994351 + 0.106143i \(0.966150\pi\)
\(350\) −13.1961 + 8.30037i −0.705364 + 0.443673i
\(351\) 1.05358 + 0.840205i 0.0562361 + 0.0448468i
\(352\) 31.7727 + 7.18487i 1.69349 + 0.382955i
\(353\) 22.4511 + 8.81141i 1.19495 + 0.468984i 0.877632 0.479335i \(-0.159122\pi\)
0.317319 + 0.948319i \(0.397217\pi\)
\(354\) 17.3686 + 12.6083i 0.923128 + 0.670126i
\(355\) 0.974488 13.0036i 0.0517205 0.690162i
\(356\) 1.74447 3.13460i 0.0924568 0.166133i
\(357\) −9.46563 10.3544i −0.500974 0.548010i
\(358\) 26.3873 + 22.3486i 1.39461 + 1.18116i
\(359\) 2.02899 + 13.4615i 0.107086 + 0.710468i 0.976362 + 0.216142i \(0.0693473\pi\)
−0.869276 + 0.494327i \(0.835415\pi\)
\(360\) −0.609185 + 2.50939i −0.0321069 + 0.132256i
\(361\) 8.65271 + 14.9869i 0.455406 + 0.788786i
\(362\) 2.10845 + 17.4741i 0.110818 + 0.918417i
\(363\) −19.9656 + 9.61493i −1.04792 + 0.504653i
\(364\) −3.51367 + 6.20497i −0.184166 + 0.325229i
\(365\) −4.37294 2.10590i −0.228890 0.110228i
\(366\) 2.00732 5.88497i 0.104924 0.307612i
\(367\) −19.1240 + 17.7445i −0.998265 + 0.926254i −0.997277 0.0737450i \(-0.976505\pi\)
−0.000987789 1.00000i \(0.500314\pi\)
\(368\) −3.50038 19.1140i −0.182470 0.996386i
\(369\) 0.0970184 + 0.142300i 0.00505057 + 0.00740783i
\(370\) −1.41798 + 0.279890i −0.0737174 + 0.0145508i
\(371\) −2.14175 0.0158700i −0.111194 0.000823931i
\(372\) −1.99581 11.9591i −0.103478 0.620050i
\(373\) −5.48080 + 9.49303i −0.283785 + 0.491531i −0.972314 0.233679i \(-0.924924\pi\)
0.688529 + 0.725209i \(0.258257\pi\)
\(374\) 16.9555 39.7135i 0.876749 2.05354i
\(375\) 4.71427 6.91457i 0.243444 0.357067i
\(376\) 0.138137 0.0772399i 0.00712390 0.00398334i
\(377\) 6.07514 1.38661i 0.312885 0.0714141i
\(378\) 3.01158 + 2.22045i 0.154899 + 0.114208i
\(379\) 2.05230 + 0.468423i 0.105419 + 0.0240613i 0.274905 0.961471i \(-0.411354\pi\)
−0.169486 + 0.985533i \(0.554211\pi\)
\(380\) −0.833411 + 2.22604i −0.0427531 + 0.114194i
\(381\) 6.04892 + 19.6101i 0.309895 + 1.00466i
\(382\) −2.84319 10.2860i −0.145470 0.526276i
\(383\) 15.7200 + 4.84897i 0.803253 + 0.247771i 0.669083 0.743188i \(-0.266687\pi\)
0.134170 + 0.990958i \(0.457163\pi\)
\(384\) 8.71868 7.21003i 0.444923 0.367935i
\(385\) 11.5504 7.75018i 0.588662 0.394986i
\(386\) −1.28079 + 4.93523i −0.0651905 + 0.251197i
\(387\) 3.70838 1.45543i 0.188507 0.0739837i
\(388\) −6.28608 + 29.6908i −0.319127 + 1.50732i
\(389\) −16.4138 2.47399i −0.832214 0.125436i −0.280903 0.959736i \(-0.590634\pi\)
−0.551311 + 0.834300i \(0.685872\pi\)
\(390\) 0.181176 1.73045i 0.00917421 0.0876250i
\(391\) −25.7590 −1.30269
\(392\) −9.09662 + 17.5855i −0.459449 + 0.888204i
\(393\) −2.92426 −0.147509
\(394\) −1.26726 + 12.1039i −0.0638438 + 0.609786i
\(395\) −11.7476 1.77067i −0.591087 0.0890920i
\(396\) −2.38547 + 11.2672i −0.119874 + 0.566199i
\(397\) 30.2377 11.8674i 1.51758 0.595608i 0.547163 0.837026i \(-0.315708\pi\)
0.970421 + 0.241418i \(0.0776125\pi\)
\(398\) −9.02184 + 34.7636i −0.452224 + 1.74254i
\(399\) 2.50731 + 2.36125i 0.125522 + 0.118210i
\(400\) −15.7628 + 5.41190i −0.788138 + 0.270595i
\(401\) −31.0765 9.58582i −1.55188 0.478693i −0.603914 0.797050i \(-0.706393\pi\)
−0.947971 + 0.318357i \(0.896869\pi\)
\(402\) 0.140057 + 0.506692i 0.00698540 + 0.0252715i
\(403\) 2.40797 + 7.80644i 0.119949 + 0.388867i
\(404\) 1.71583 4.58298i 0.0853655 0.228012i
\(405\) −0.890081 0.203155i −0.0442285 0.0100949i
\(406\) 16.7102 4.48592i 0.829311 0.222632i
\(407\) −6.28463 + 1.43442i −0.311517 + 0.0711018i
\(408\) −7.31940 13.0902i −0.362364 0.648061i
\(409\) 7.94788 11.6574i 0.392998 0.576421i −0.577843 0.816148i \(-0.696105\pi\)
0.970840 + 0.239726i \(0.0770578\pi\)
\(410\) 0.0873138 0.204508i 0.00431212 0.0100999i
\(411\) −3.68373 + 6.38041i −0.181705 + 0.314723i
\(412\) 1.07144 + 6.42021i 0.0527862 + 0.316301i
\(413\) −36.0461 17.6891i −1.77371 0.870425i
\(414\) 6.74015 1.33041i 0.331260 0.0653862i
\(415\) 0.398488 + 0.584474i 0.0195610 + 0.0286907i
\(416\) −5.17379 + 5.59851i −0.253666 + 0.274489i
\(417\) 9.19331 8.53015i 0.450198 0.417723i
\(418\) −3.42238 + 10.0336i −0.167394 + 0.490758i
\(419\) −33.1122 15.9460i −1.61764 0.779013i −0.617665 0.786441i \(-0.711921\pi\)
−0.999972 + 0.00742758i \(0.997636\pi\)
\(420\) 0.320769 4.82033i 0.0156519 0.235208i
\(421\) −23.2387 + 11.1912i −1.13258 + 0.545424i −0.903758 0.428043i \(-0.859203\pi\)
−0.228827 + 0.973467i \(0.573489\pi\)
\(422\) −4.71843 39.1047i −0.229690 1.90359i
\(423\) 0.0279776 + 0.0484587i 0.00136032 + 0.00235614i
\(424\) −2.22507 0.540163i −0.108059 0.0262327i
\(425\) 3.29272 + 21.8458i 0.159720 + 1.05967i
\(426\) −15.4140 13.0548i −0.746809 0.632505i
\(427\) −1.81893 + 11.4895i −0.0880244 + 0.556017i
\(428\) 13.2966 23.8923i 0.642714 1.15488i
\(429\) 0.579909 7.73835i 0.0279983 0.373611i
\(430\) −4.16245 3.02164i −0.200731 0.145717i
\(431\) −10.8762 4.26859i −0.523888 0.205611i 0.0886342 0.996064i \(-0.471750\pi\)
−0.612522 + 0.790453i \(0.709845\pi\)
\(432\) 2.59129 + 3.04716i 0.124674 + 0.146607i
\(433\) −8.06817 6.43415i −0.387732 0.309206i 0.410152 0.912017i \(-0.365476\pi\)
−0.797884 + 0.602812i \(0.794047\pi\)
\(434\) 7.50176 + 21.4064i 0.360096 + 1.02754i
\(435\) −3.30064 + 2.63217i −0.158253 + 0.126203i
\(436\) −13.2480 + 1.20306i −0.634466 + 0.0576163i
\(437\) 6.30623 0.472587i 0.301668 0.0226069i
\(438\) −6.61918 + 3.56536i −0.316277 + 0.170360i
\(439\) −11.8201 10.9675i −0.564143 0.523449i 0.345730 0.938334i \(-0.387631\pi\)
−0.909874 + 0.414885i \(0.863822\pi\)
\(440\) 13.9155 5.24169i 0.663395 0.249888i
\(441\) −6.26108 3.13031i −0.298147 0.149062i
\(442\) 6.06458 + 8.08310i 0.288463 + 0.384474i
\(443\) 14.7781 15.9270i 0.702129 0.756715i −0.276798 0.960928i \(-0.589273\pi\)
0.978926 + 0.204213i \(0.0654636\pi\)
\(444\) −0.939494 + 2.03221i −0.0445864 + 0.0964445i
\(445\) −0.122375 1.63298i −0.00580114 0.0774108i
\(446\) −6.33051 + 10.2534i −0.299758 + 0.485515i
\(447\) 3.06423 + 3.84242i 0.144933 + 0.181740i
\(448\) −13.7665 + 16.0774i −0.650407 + 0.759586i
\(449\) −3.62604 + 4.54691i −0.171123 + 0.214582i −0.859996 0.510300i \(-0.829534\pi\)
0.688873 + 0.724882i \(0.258106\pi\)
\(450\) −1.98987 5.54613i −0.0938036 0.261447i
\(451\) 0.362331 0.923204i 0.0170615 0.0434720i
\(452\) 0.510565 + 32.3885i 0.0240149 + 1.52343i
\(453\) −5.72484 0.429018i −0.268977 0.0201570i
\(454\) 8.18147 3.64656i 0.383975 0.171141i
\(455\) 0.219194 + 3.24769i 0.0102760 + 0.152254i
\(456\) 2.03207 + 3.07040i 0.0951602 + 0.143785i
\(457\) 27.8289 4.19453i 1.30178 0.196212i 0.538691 0.842503i \(-0.318919\pi\)
0.763091 + 0.646291i \(0.223681\pi\)
\(458\) −3.61503 + 0.163805i −0.168919 + 0.00765409i
\(459\) 4.59204 2.65122i 0.214338 0.123748i
\(460\) −6.13512 6.40653i −0.286051 0.298706i
\(461\) −10.5654 21.9393i −0.492080 1.02182i −0.988144 0.153529i \(-0.950936\pi\)
0.496064 0.868286i \(-0.334778\pi\)
\(462\) 0.795488 21.5316i 0.0370095 1.00174i
\(463\) −3.14634 + 6.53345i −0.146223 + 0.303635i −0.961197 0.275862i \(-0.911037\pi\)
0.814974 + 0.579497i \(0.196751\pi\)
\(464\) 18.4872 0.583002i 0.858248 0.0270652i
\(465\) −3.76452 4.05719i −0.174575 0.188147i
\(466\) −20.6945 3.74691i −0.958653 0.173572i
\(467\) 14.6779 10.0072i 0.679210 0.463078i −0.173931 0.984758i \(-0.555647\pi\)
0.853141 + 0.521680i \(0.174695\pi\)
\(468\) −2.00435 1.80181i −0.0926510 0.0832888i
\(469\) −0.420139 0.889222i −0.0194002 0.0410605i
\(470\) 0.0332538 0.0641377i 0.00153388 0.00295845i
\(471\) −12.1796 7.03192i −0.561208 0.324014i
\(472\) −33.1887 27.2224i −1.52763 1.25301i
\(473\) −18.9543 12.9228i −0.871518 0.594191i
\(474\) −12.9099 + 13.1150i −0.592969 + 0.602390i
\(475\) −1.20690 5.28779i −0.0553765 0.242620i
\(476\) 17.6764 + 21.7896i 0.810196 + 0.998726i
\(477\) 0.180137 0.789232i 0.00824791 0.0361365i
\(478\) −2.55668 3.99863i −0.116940 0.182893i
\(479\) 30.8231 9.50768i 1.40834 0.434417i 0.504921 0.863166i \(-0.331522\pi\)
0.903424 + 0.428749i \(0.141045\pi\)
\(480\) 1.51237 4.93814i 0.0690300 0.225394i
\(481\) 0.444648 1.44151i 0.0202742 0.0657273i
\(482\) 0.347336 11.7632i 0.0158207 0.535800i
\(483\) −11.9990 + 4.60694i −0.545971 + 0.209623i
\(484\) 40.9963 16.8403i 1.86347 0.765468i
\(485\) 5.06138 + 12.8962i 0.229826 + 0.585586i
\(486\) −1.06463 + 0.930893i −0.0482926 + 0.0422262i
\(487\) 2.95445 19.6015i 0.133879 0.888229i −0.816547 0.577279i \(-0.804115\pi\)
0.950426 0.310950i \(-0.100647\pi\)
\(488\) −4.70211 + 11.5126i −0.212855 + 0.521149i
\(489\) 14.9797i 0.677405i
\(490\) 0.949593 + 8.98792i 0.0428982 + 0.406033i
\(491\) 35.5531i 1.60449i −0.596996 0.802244i \(-0.703639\pi\)
0.596996 0.802244i \(-0.296361\pi\)
\(492\) −0.176906 0.295553i −0.00797556 0.0133245i
\(493\) 3.65437 24.2452i 0.164585 1.09195i
\(494\) −1.63300 1.86761i −0.0734723 0.0840278i
\(495\) 1.92072 + 4.89391i 0.0863298 + 0.219965i
\(496\) 2.57341 + 24.1120i 0.115550 + 1.08266i
\(497\) 32.5859 + 19.1368i 1.46168 + 0.858403i
\(498\) 1.09529 + 0.0323409i 0.0490811 + 0.00144923i
\(499\) 0.0801134 0.259721i 0.00358637 0.0116267i −0.953762 0.300563i \(-0.902825\pi\)
0.957348 + 0.288936i \(0.0933016\pi\)
\(500\) −10.2281 + 13.2487i −0.457414 + 0.592501i
\(501\) −19.3696 + 5.97474i −0.865371 + 0.266932i
\(502\) −28.1661 + 18.0091i −1.25711 + 0.803785i
\(503\) 4.83399 21.1791i 0.215537 0.944329i −0.745194 0.666848i \(-0.767643\pi\)
0.960731 0.277481i \(-0.0894996\pi\)
\(504\) −5.75063 4.78855i −0.256154 0.213299i
\(505\) −0.497084 2.17787i −0.0221200 0.0969138i
\(506\) −28.1941 27.7532i −1.25338 1.23378i
\(507\) −9.24067 6.30018i −0.410393 0.279801i
\(508\) −9.76264 39.8657i −0.433147 1.76875i
\(509\) −27.1127 15.6535i −1.20175 0.693831i −0.240806 0.970573i \(-0.577412\pi\)
−0.960944 + 0.276742i \(0.910745\pi\)
\(510\) −6.07782 3.15119i −0.269130 0.139537i
\(511\) 11.0615 8.68799i 0.489334 0.384334i
\(512\) −18.2578 + 13.3661i −0.806889 + 0.590703i
\(513\) −1.07557 + 0.733309i −0.0474874 + 0.0323764i
\(514\) −7.14451 + 39.4596i −0.315131 + 1.74049i
\(515\) 2.02097 + 2.17809i 0.0890547 + 0.0959781i
\(516\) −7.57558 + 2.46818i −0.333496 + 0.108655i
\(517\) 0.139805 0.290308i 0.00614862 0.0127677i
\(518\) 1.08217 4.04633i 0.0475476 0.177785i
\(519\) 5.10196 + 10.5943i 0.223951 + 0.465040i
\(520\) −0.565925 + 3.43350i −0.0248175 + 0.150569i
\(521\) −38.3471 + 22.1397i −1.68002 + 0.969959i −0.718374 + 0.695657i \(0.755113\pi\)
−0.961644 + 0.274301i \(0.911553\pi\)
\(522\) 0.296014 + 6.53277i 0.0129562 + 0.285931i
\(523\) 28.2329 4.25543i 1.23454 0.186077i 0.500833 0.865544i \(-0.333027\pi\)
0.733706 + 0.679467i \(0.237789\pi\)
\(524\) 5.83833 + 0.345080i 0.255049 + 0.0150749i
\(525\) 5.44085 + 9.58719i 0.237458 + 0.418419i
\(526\) −0.214331 0.480877i −0.00934529 0.0209672i
\(527\) 32.0548 + 2.40217i 1.39633 + 0.104640i
\(528\) 6.09223 22.2137i 0.265130 0.966726i
\(529\) −0.219144 + 0.558369i −0.00952798 + 0.0242769i
\(530\) −0.983806 + 0.352976i −0.0427338 + 0.0153323i
\(531\) 9.46224 11.8653i 0.410626 0.514909i
\(532\) −4.72723 5.01015i −0.204951 0.217218i
\(533\) 0.144705 + 0.181454i 0.00626788 + 0.00785967i
\(534\) −2.15839 1.33259i −0.0934026 0.0576670i
\(535\) −0.932757 12.4468i −0.0403266 0.538121i
\(536\) −0.219833 1.02815i −0.00949534 0.0444091i
\(537\) 16.6312 17.9242i 0.717691 0.773487i
\(538\) −30.9050 + 23.1874i −1.33241 + 0.999678i
\(539\) 5.41648 + 39.9438i 0.233304 + 1.72050i
\(540\) 1.75309 + 0.510637i 0.0754408 + 0.0219743i
\(541\) −9.89554 9.18172i −0.425443 0.394753i 0.438184 0.898885i \(-0.355622\pi\)
−0.863626 + 0.504132i \(0.831812\pi\)
\(542\) −4.07614 7.56745i −0.175085 0.325050i
\(543\) 12.4109 0.930065i 0.532601 0.0399129i
\(544\) 13.0686 + 26.9985i 0.560311 + 1.15755i
\(545\) −4.74761 + 3.78609i −0.203365 + 0.162178i
\(546\) 4.27062 + 2.68060i 0.182765 + 0.114719i
\(547\) 0.401135 + 0.319895i 0.0171513 + 0.0136777i 0.632028 0.774946i \(-0.282223\pi\)
−0.614877 + 0.788623i \(0.710794\pi\)
\(548\) 8.10756 12.3039i 0.346338 0.525596i
\(549\) −4.09279 1.60630i −0.174676 0.0685552i
\(550\) −19.9330 + 27.4585i −0.849944 + 1.17084i
\(551\) −0.449837 + 6.00265i −0.0191637 + 0.255722i
\(552\) −13.6138 + 1.86081i −0.579443 + 0.0792013i
\(553\) 19.6046 28.3018i 0.833672 1.20352i
\(554\) −20.1120 + 23.7465i −0.854476 + 1.00889i
\(555\) 0.152323 + 1.01060i 0.00646574 + 0.0428974i
\(556\) −19.3612 + 15.9457i −0.821098 + 0.676249i
\(557\) −16.6819 28.8938i −0.706833 1.22427i −0.966026 0.258446i \(-0.916790\pi\)
0.259192 0.965826i \(-0.416544\pi\)
\(558\) −8.51157 + 1.02702i −0.360324 + 0.0434772i
\(559\) 4.83680 2.32928i 0.204575 0.0985181i
\(560\) −1.20925 + 9.58600i −0.0511000 + 0.405083i
\(561\) −27.5102 13.2482i −1.16148 0.559340i
\(562\) 7.49722 + 2.55725i 0.316251 + 0.107871i
\(563\) 0.202229 0.187641i 0.00852292 0.00790811i −0.675900 0.736994i \(-0.736245\pi\)
0.684423 + 0.729085i \(0.260054\pi\)
\(564\) −0.0501394 0.100050i −0.00211125 0.00421287i
\(565\) 8.32964 + 12.2173i 0.350431 + 0.513987i
\(566\) 2.99533 + 15.1750i 0.125903 + 0.637852i
\(567\) 1.66488 2.05625i 0.0699184 0.0863545i
\(568\) 29.2337 + 27.8830i 1.22662 + 1.16994i
\(569\) 4.30497 7.45642i 0.180474 0.312590i −0.761568 0.648085i \(-0.775570\pi\)
0.942042 + 0.335495i \(0.108904\pi\)
\(570\) 1.54576 + 0.659957i 0.0647449 + 0.0276426i
\(571\) −8.65373 + 12.6927i −0.362148 + 0.531173i −0.963464 0.267838i \(-0.913691\pi\)
0.601316 + 0.799011i \(0.294643\pi\)
\(572\) −2.07097 + 15.3813i −0.0865916 + 0.643124i
\(573\) −7.35683 + 1.67915i −0.307336 + 0.0701475i
\(574\) 0.420571 + 0.488247i 0.0175543 + 0.0203790i
\(575\) 19.7332 + 4.50397i 0.822930 + 0.187828i
\(576\) −4.81397 6.38950i −0.200582 0.266229i
\(577\) 1.91221 + 6.19923i 0.0796063 + 0.258077i 0.986623 0.163017i \(-0.0521224\pi\)
−0.907017 + 0.421094i \(0.861646\pi\)
\(578\) 15.1519 4.18822i 0.630238 0.174207i
\(579\) 3.44516 + 1.06269i 0.143176 + 0.0441640i
\(580\) 6.90038 4.86567i 0.286523 0.202036i
\(581\) −2.02930 + 0.290507i −0.0841896 + 0.0120523i
\(582\) 20.7719 + 5.39071i 0.861021 + 0.223452i
\(583\) −4.33942 + 1.70310i −0.179720 + 0.0705350i
\(584\) 13.6360 6.33719i 0.564263 0.262235i
\(585\) −1.21656 0.183367i −0.0502987 0.00758131i
\(586\) 30.5474 + 3.19827i 1.26190 + 0.132119i
\(587\) −29.8987 −1.23405 −0.617025 0.786943i \(-0.711662\pi\)
−0.617025 + 0.786943i \(0.711662\pi\)
\(588\) 12.1310 + 6.98856i 0.500272 + 0.288203i
\(589\) −7.89160 −0.325168
\(590\) −19.4881 2.04037i −0.802311 0.0840008i
\(591\) 8.50942 + 1.28259i 0.350031 + 0.0527587i
\(592\) 2.11553 3.94648i 0.0869477 0.162199i
\(593\) −29.1057 + 11.4231i −1.19523 + 0.469092i −0.877725 0.479165i \(-0.840940\pi\)
−0.317503 + 0.948257i \(0.602844\pi\)
\(594\) 7.88261 + 2.04569i 0.323427 + 0.0839357i
\(595\) 12.2107 + 3.86581i 0.500588 + 0.158483i
\(596\) −5.66436 8.03306i −0.232021 0.329047i
\(597\) 24.2676 + 7.48557i 0.993207 + 0.306364i
\(598\) 8.92355 2.46660i 0.364911 0.100867i
\(599\) 11.6613 + 37.8050i 0.476468 + 1.54467i 0.800922 + 0.598769i \(0.204343\pi\)
−0.324454 + 0.945902i \(0.605180\pi\)
\(600\) 3.31834 + 11.3078i 0.135471 + 0.461637i
\(601\) −28.1292 6.42030i −1.14741 0.261889i −0.393792 0.919200i \(-0.628837\pi\)
−0.753620 + 0.657310i \(0.771694\pi\)
\(602\) 13.1752 6.97125i 0.536981 0.284127i
\(603\) 0.362401 0.0827156i 0.0147581 0.00336844i
\(604\) 11.3791 + 1.53211i 0.463009 + 0.0623406i
\(605\) 11.3969 16.7161i 0.463348 0.679607i
\(606\) −3.18241 1.35872i −0.129277 0.0551942i
\(607\) −6.40564 + 11.0949i −0.259997 + 0.450328i −0.966241 0.257641i \(-0.917055\pi\)
0.706244 + 0.707969i \(0.250388\pi\)
\(608\) −3.69473 6.36991i −0.149841 0.258334i
\(609\) −2.63392 11.9473i −0.106732 0.484131i
\(610\) 1.09930 + 5.56930i 0.0445094 + 0.225494i
\(611\) 0.0424768 + 0.0623021i 0.00171843 + 0.00252047i
\(612\) −9.48095 + 4.75131i −0.383245 + 0.192060i
\(613\) 23.1527 21.4826i 0.935131 0.867675i −0.0562859 0.998415i \(-0.517926\pi\)
0.991417 + 0.130740i \(0.0417354\pi\)
\(614\) 35.5815 + 12.1366i 1.43595 + 0.489793i
\(615\) −0.141666 0.0682227i −0.00571252 0.00275100i
\(616\) −4.12906 + 42.8943i −0.166365 + 1.72826i
\(617\) −7.43428 + 3.58016i −0.299293 + 0.144132i −0.577503 0.816388i \(-0.695973\pi\)
0.278211 + 0.960520i \(0.410259\pi\)
\(618\) 4.56941 0.551352i 0.183809 0.0221786i
\(619\) −14.2124 24.6166i −0.571244 0.989423i −0.996439 0.0843213i \(-0.973128\pi\)
0.425195 0.905102i \(-0.360206\pi\)
\(620\) 7.03715 + 8.54447i 0.282619 + 0.343154i
\(621\) −0.724042 4.80371i −0.0290548 0.192766i
\(622\) −31.1913 + 36.8281i −1.25066 + 1.47667i
\(623\) 4.40457 + 1.76644i 0.176465 + 0.0707710i
\(624\) 3.78908 + 3.83387i 0.151685 + 0.153478i
\(625\) 0.985841 13.1551i 0.0394336 0.526205i
\(626\) −8.07274 + 11.1206i −0.322652 + 0.444467i
\(627\) 6.97800 + 2.73866i 0.278674 + 0.109372i
\(628\) 23.4870 + 15.4766i 0.937234 + 0.617584i
\(629\) −4.64074 3.70087i −0.185038 0.147563i
\(630\) −3.39472 0.380873i −0.135249 0.0151743i
\(631\) 15.6914 12.5135i 0.624664 0.498153i −0.259245 0.965811i \(-0.583474\pi\)
0.883909 + 0.467659i \(0.154902\pi\)
\(632\) 27.3224 24.6608i 1.08683 0.980954i
\(633\) −27.7739 + 2.08136i −1.10391 + 0.0827268i
\(634\) −10.4166 19.3386i −0.413694 0.768034i
\(635\) −13.7343 12.7436i −0.545030 0.505714i
\(636\) −0.452781 + 1.55446i −0.0179539 + 0.0616382i
\(637\) −8.72898 3.57604i −0.345855 0.141688i
\(638\) 30.1219 22.5999i 1.19254 0.894737i
\(639\) −9.71501 + 10.4703i −0.384320 + 0.414198i
\(640\) −3.60220 + 9.68060i −0.142390 + 0.382659i
\(641\) 0.955705 + 12.7530i 0.0377481 + 0.503713i 0.983749 + 0.179549i \(0.0574639\pi\)
−0.946001 + 0.324164i \(0.894917\pi\)
\(642\) −16.4515 10.1572i −0.649288 0.400872i
\(643\) 1.70712 + 2.14066i 0.0673223 + 0.0844195i 0.814352 0.580371i \(-0.197092\pi\)
−0.747030 + 0.664790i \(0.768521\pi\)
\(644\) 24.4998 7.78187i 0.965425 0.306649i
\(645\) −2.26767 + 2.84356i −0.0892893 + 0.111965i
\(646\) −9.18814 + 3.29657i −0.361502 + 0.129702i
\(647\) −9.28094 + 23.6474i −0.364871 + 0.929677i 0.624070 + 0.781369i \(0.285478\pi\)
−0.988941 + 0.148308i \(0.952617\pi\)
\(648\) 2.23540 1.73291i 0.0878149 0.0680751i
\(649\) −87.1478 6.53083i −3.42085 0.256357i
\(650\) −3.23255 7.25259i −0.126791 0.284470i
\(651\) 15.3612 4.61394i 0.602054 0.180835i
\(652\) 1.76770 29.9072i 0.0692283 1.17126i
\(653\) 19.1806 2.89100i 0.750593 0.113134i 0.237406 0.971410i \(-0.423703\pi\)
0.513187 + 0.858277i \(0.328465\pi\)
\(654\) 0.425783 + 9.39668i 0.0166495 + 0.367439i
\(655\) 2.31208 1.33488i 0.0903405 0.0521581i
\(656\) 0.318319 + 0.610951i 0.0124283 + 0.0238536i
\(657\) 2.30664 + 4.78979i 0.0899907 + 0.186868i
\(658\) 0.124405 + 0.168396i 0.00484981 + 0.00656478i
\(659\) 3.09303 6.42275i 0.120487 0.250195i −0.831998 0.554778i \(-0.812803\pi\)
0.952486 + 0.304584i \(0.0985173\pi\)
\(660\) −3.25723 9.99742i −0.126788 0.389149i
\(661\) 9.76060 + 10.5194i 0.379643 + 0.409158i 0.893748 0.448569i \(-0.148066\pi\)
−0.514105 + 0.857727i \(0.671876\pi\)
\(662\) −4.04749 + 22.3546i −0.157310 + 0.868835i
\(663\) 5.90387 4.02519i 0.229287 0.156325i
\(664\) −2.18294 0.193820i −0.0847147 0.00752167i
\(665\) −3.06029 0.722390i −0.118673 0.0280131i
\(666\) 1.40545 + 0.728688i 0.0544599 + 0.0282361i
\(667\) −19.4542 11.2319i −0.753268 0.434900i
\(668\) 39.3768 9.64292i 1.52353 0.373096i
\(669\) 7.04023 + 4.79994i 0.272191 + 0.185577i
\(670\) −0.342034 0.336685i −0.0132139 0.0130073i
\(671\) 5.63388 + 24.6836i 0.217493 + 0.952901i
\(672\) 10.9161 + 10.2390i 0.421100 + 0.394979i
\(673\) −0.0189691 + 0.0831091i −0.000731205 + 0.00320362i −0.975292 0.220919i \(-0.929094\pi\)
0.974561 + 0.224122i \(0.0719516\pi\)
\(674\) −37.1917 + 23.7800i −1.43257 + 0.915970i
\(675\) −3.98138 + 1.22809i −0.153243 + 0.0472693i
\(676\) 17.7057 + 13.6689i 0.680988 + 0.525726i
\(677\) 8.17299 26.4962i 0.314114 1.01833i −0.651565 0.758592i \(-0.725887\pi\)
0.965679 0.259739i \(-0.0836364\pi\)
\(678\) 22.8950 + 0.676026i 0.879276 + 0.0259626i
\(679\) −40.0123 3.29682i −1.53553 0.126521i
\(680\) 11.7626 + 7.00863i 0.451075 + 0.268769i
\(681\) −2.31399 5.89596i −0.0886724 0.225934i
\(682\) 32.4969 + 37.1656i 1.24437 + 1.42314i
\(683\) −0.513192 + 3.40481i −0.0196368 + 0.130281i −0.996501 0.0835778i \(-0.973365\pi\)
0.976864 + 0.213859i \(0.0686034\pi\)
\(684\) 2.23392 1.33714i 0.0854161 0.0511268i
\(685\) 6.72628i 0.256998i
\(686\) −24.5952 9.00434i −0.939048 0.343787i
\(687\) 2.55883i 0.0976256i
\(688\) 15.4160 4.03379i 0.587730 0.153787i
\(689\) 0.162591 1.07872i 0.00619424 0.0410961i
\(690\) −4.72183 + 4.12868i −0.179757 + 0.157176i
\(691\) −16.6580 42.4440i −0.633701 1.61464i −0.780269 0.625444i \(-0.784918\pi\)
0.146567 0.989201i \(-0.453177\pi\)
\(692\) −8.93595 21.7538i −0.339694 0.826956i
\(693\) −15.1841 1.25109i −0.576795 0.0475252i
\(694\) 0.0916416 3.10363i 0.00347867 0.117812i
\(695\) −3.37486 + 10.9410i −0.128016 + 0.415017i
\(696\) 0.179911 13.0777i 0.00681951 0.495709i
\(697\) 0.872645 0.269175i 0.0330538 0.0101957i
\(698\) −24.0120 37.5546i −0.908869 1.42146i
\(699\) −3.30913 + 14.4983i −0.125163 + 0.548375i
\(700\) −9.73140 19.7830i −0.367812 0.747728i
\(701\) −2.40976 10.5579i −0.0910155 0.398765i 0.908815 0.417200i \(-0.136989\pi\)
−0.999830 + 0.0184354i \(0.994132\pi\)
\(702\) −1.33692 + 1.35816i −0.0504589 + 0.0512605i
\(703\) 1.20403 + 0.820891i 0.0454107 + 0.0309605i
\(704\) −14.7846 + 43.6310i −0.557215 + 1.64441i
\(705\) −0.0442414 0.0255428i −0.00166623 0.000961996i
\(706\) −15.6996 + 30.2805i −0.590864 + 1.13962i
\(707\) 6.30052 + 1.48725i 0.236956 + 0.0559340i
\(708\) −20.2917 + 22.5726i −0.762608 + 0.848330i
\(709\) −24.0513 + 16.3979i −0.903265 + 0.615835i −0.923349 0.383963i \(-0.874559\pi\)
0.0200839 + 0.999798i \(0.493607\pi\)
\(710\) 18.1464 + 3.28557i 0.681024 + 0.123305i
\(711\) 8.85096 + 9.53907i 0.331937 + 0.357743i
\(712\) 4.15200 + 2.91525i 0.155603 + 0.109254i
\(713\) 12.7780 26.5337i 0.478538 0.993695i
\(714\) 15.9576 11.7889i 0.597197 0.441187i
\(715\) 3.07393 + 6.38309i 0.114959 + 0.238714i
\(716\) −35.3197 + 33.8234i −1.31996 + 1.26404i
\(717\) −2.90640 + 1.67801i −0.108541 + 0.0626664i
\(718\) −19.2327 + 0.871473i −0.717757 + 0.0325231i
\(719\) −15.7508 + 2.37404i −0.587404 + 0.0885369i −0.436018 0.899938i \(-0.643612\pi\)
−0.151386 + 0.988475i \(0.548374\pi\)
\(720\) −3.43981 1.22637i −0.128194 0.0457041i
\(721\) −8.24663 + 2.47698i −0.307121 + 0.0922476i
\(722\) −22.3537 + 9.96326i −0.831919 + 0.370794i
\(723\) −8.29821 0.621865i −0.308614 0.0231274i
\(724\) −24.8882 + 0.392332i −0.924963 + 0.0145809i
\(725\) −7.03876 + 17.9345i −0.261413 + 0.666069i
\(726\) −10.5835 29.4981i −0.392790 1.09478i
\(727\) 11.7082 14.6817i 0.434234 0.544513i −0.515779 0.856722i \(-0.672497\pi\)
0.950013 + 0.312209i \(0.101069\pi\)
\(728\) −8.21002 5.85581i −0.304284 0.217031i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 3.60596 5.84053i 0.133463 0.216168i
\(731\) −1.57857 21.0645i −0.0583855 0.779100i
\(732\) 7.98176 + 3.68998i 0.295014 + 0.136385i
\(733\) 21.8495 23.5482i 0.807031 0.869772i −0.186602 0.982436i \(-0.559748\pi\)
0.993633 + 0.112663i \(0.0359381\pi\)
\(734\) −22.1418 29.5115i −0.817270 1.08929i
\(735\) 6.37930 0.383093i 0.235304 0.0141306i
\(736\) 27.3998 2.10862i 1.00997 0.0777247i
\(737\) −1.56913 1.45594i −0.0577997 0.0536303i
\(738\) −0.214435 + 0.115504i −0.00789347 + 0.00425174i
\(739\) 31.5986 2.36799i 1.16238 0.0871080i 0.520462 0.853885i \(-0.325760\pi\)
0.641913 + 0.766777i \(0.278141\pi\)
\(740\) −0.184858 2.03564i −0.00679553 0.0748318i
\(741\) −1.37152 + 1.09375i −0.0503839 + 0.0401798i
\(742\) 0.337719 3.01009i 0.0123980 0.110504i
\(743\) 26.9586 + 21.4988i 0.989015 + 0.788713i 0.977439 0.211220i \(-0.0677435\pi\)
0.0115768 + 0.999933i \(0.496315\pi\)
\(744\) 17.1147 1.04604i 0.627455 0.0383497i
\(745\) −4.17676 1.63926i −0.153025 0.0600578i
\(746\) −12.5451 9.10685i −0.459308 0.333425i
\(747\) 0.0579026 0.772657i 0.00211855 0.0282700i
\(748\) 53.3611 + 29.6966i 1.95108 + 1.08582i
\(749\) 33.5722 + 13.4640i 1.22670 + 0.491965i
\(750\) 9.03129 + 7.64899i 0.329776 + 0.279302i
\(751\) −5.02418 33.3333i −0.183335 1.21635i −0.871354 0.490655i \(-0.836757\pi\)
0.688019 0.725693i \(-0.258481\pi\)
\(752\) 0.0882975 + 0.205668i 0.00321988 + 0.00749995i
\(753\) 11.8198 + 20.4724i 0.430736 + 0.746057i
\(754\) 1.05567 + 8.74903i 0.0384453 + 0.318621i
\(755\) 4.72222 2.27410i 0.171859 0.0827630i
\(756\) −3.56661 + 3.90887i −0.129716 + 0.142164i
\(757\) −1.01063 0.486696i −0.0367321 0.0176893i 0.415428 0.909626i \(-0.363632\pi\)
−0.452160 + 0.891937i \(0.649346\pi\)
\(758\) −0.961073 + 2.81763i −0.0349078 + 0.102341i
\(759\) −20.5068 + 19.0275i −0.744349 + 0.690655i
\(760\) −3.00826 1.50002i −0.109121 0.0544116i
\(761\) 22.1948 + 32.5537i 0.804560 + 1.18007i 0.980664 + 0.195701i \(0.0626981\pi\)
−0.176104 + 0.984372i \(0.556350\pi\)
\(762\) −28.4729 + 5.62015i −1.03146 + 0.203596i
\(763\) −3.78861 17.1849i −0.137157 0.622137i
\(764\) 14.8862 2.48430i 0.538563 0.0898787i
\(765\) −2.42048 + 4.19240i −0.0875128 + 0.151577i
\(766\) −9.13514 + 21.3965i −0.330066 + 0.773086i
\(767\) 11.5206 16.8976i 0.415985 0.610138i
\(768\) 8.85717 + 13.3248i 0.319606 + 0.480818i
\(769\) 15.7848 3.60278i 0.569215 0.129920i 0.0717796 0.997421i \(-0.477132\pi\)
0.497436 + 0.867501i \(0.334275\pi\)
\(770\) 9.19990 + 17.3872i 0.331541 + 0.626591i
\(771\) 27.6449 + 6.30976i 0.995606 + 0.227241i
\(772\) −6.75292 2.52823i −0.243043 0.0909931i