Properties

Label 588.2.ba.a.187.18
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 187.18
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.a.283.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.546668 - 1.30428i) q^{2} +(0.988831 + 0.149042i) q^{3} +(-1.40231 - 1.42602i) q^{4} +(2.80567 - 1.10114i) q^{5} +(0.734956 - 1.20824i) q^{6} +(-1.52632 + 2.16110i) q^{7} +(-2.62653 + 1.04945i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(0.546668 - 1.30428i) q^{2} +(0.988831 + 0.149042i) q^{3} +(-1.40231 - 1.42602i) q^{4} +(2.80567 - 1.10114i) q^{5} +(0.734956 - 1.20824i) q^{6} +(-1.52632 + 2.16110i) q^{7} +(-2.62653 + 1.04945i) q^{8} +(0.955573 + 0.294755i) q^{9} +(0.0975671 - 4.26135i) q^{10} +(-1.71367 - 5.55558i) q^{11} +(-1.17411 - 1.61910i) q^{12} +(0.363826 + 0.0830410i) q^{13} +(1.98429 + 3.17216i) q^{14} +(2.93845 - 0.670682i) q^{15} +(-0.0670672 + 3.99944i) q^{16} +(3.94001 - 5.77893i) q^{17} +(0.906825 - 1.08520i) q^{18} +(1.74600 - 3.02417i) q^{19} +(-5.50466 - 2.45680i) q^{20} +(-1.83137 + 1.90947i) q^{21} +(-8.18286 - 0.801950i) q^{22} +(0.103798 + 0.152244i) q^{23} +(-2.75361 + 0.646260i) q^{24} +(2.99400 - 2.77802i) q^{25} +(0.307201 - 0.429136i) q^{26} +(0.900969 + 0.433884i) q^{27} +(5.22214 - 0.853952i) q^{28} +(-0.320214 + 0.154207i) q^{29} +(0.731598 - 4.19921i) q^{30} +(4.31962 + 7.48180i) q^{31} +(5.17973 + 2.27384i) q^{32} +(-0.866513 - 5.74894i) q^{33} +(-5.38348 - 8.29804i) q^{34} +(-1.90268 + 7.74402i) q^{35} +(-0.919680 - 1.77600i) q^{36} +(-0.593000 + 7.91303i) q^{37} +(-2.98988 - 3.93050i) q^{38} +(0.347386 + 0.136339i) q^{39} +(-6.21358 + 5.83658i) q^{40} +(5.81173 + 4.63470i) q^{41} +(1.48934 + 3.43247i) q^{42} +(-4.58736 + 3.65830i) q^{43} +(-5.51928 + 10.2344i) q^{44} +(3.00559 - 0.225238i) q^{45} +(0.255312 - 0.0521552i) q^{46} +(-5.05565 - 4.69095i) q^{47} +(-0.662403 + 3.94477i) q^{48} +(-2.34067 - 6.59706i) q^{49} +(-1.98661 - 5.42368i) q^{50} +(4.75731 - 5.12716i) q^{51} +(-0.391778 - 0.635272i) q^{52} +(0.161590 + 2.15627i) q^{53} +(1.05844 - 0.937928i) q^{54} +(-10.9255 - 13.7001i) q^{55} +(1.74098 - 7.27798i) q^{56} +(2.17723 - 2.73016i) q^{57} +(0.0260786 + 0.501950i) q^{58} +(-3.14449 + 8.01204i) q^{59} +(-5.07701 - 3.24978i) q^{60} +(-1.57359 - 0.117924i) q^{61} +(12.1198 - 1.54394i) q^{62} +(-2.09551 + 1.61519i) q^{63} +(5.79733 - 5.51280i) q^{64} +(1.11222 - 0.167640i) q^{65} +(-7.97194 - 2.01258i) q^{66} +(-7.35040 + 4.24376i) q^{67} +(-13.7660 + 2.48531i) q^{68} +(0.0799481 + 0.166014i) q^{69} +(9.06026 + 6.71505i) q^{70} +(-0.231302 + 0.480303i) q^{71} +(-2.81917 + 0.228638i) q^{72} +(-3.07021 - 3.30890i) q^{73} +(9.99665 + 5.09924i) q^{74} +(3.37460 - 2.30076i) q^{75} +(-6.76096 + 1.75098i) q^{76} +(14.6218 + 4.77621i) q^{77} +(0.367729 - 0.378557i) q^{78} +(10.1632 + 5.86770i) q^{79} +(4.21579 + 11.2949i) q^{80} +(0.826239 + 0.563320i) q^{81} +(9.22206 - 5.04650i) q^{82} +(2.46534 + 10.8014i) q^{83} +(5.29109 - 0.0660944i) q^{84} +(4.69092 - 20.5523i) q^{85} +(2.26369 + 7.98309i) q^{86} +(-0.339621 + 0.104759i) q^{87} +(10.3313 + 12.7935i) q^{88} +(-3.52899 + 11.4407i) q^{89} +(1.34929 - 4.04327i) q^{90} +(-0.734776 + 0.659516i) q^{91} +(0.0715460 - 0.361511i) q^{92} +(3.15627 + 8.04204i) q^{93} +(-8.88209 + 4.02960i) q^{94} +(1.56866 - 10.4074i) q^{95} +(4.78298 + 3.02044i) q^{96} -11.7280i q^{97} +(-9.88401 - 0.553510i) q^{98} -5.81387i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.546668 1.30428i 0.386553 0.922267i
\(3\) 0.988831 + 0.149042i 0.570902 + 0.0860496i
\(4\) −1.40231 1.42602i −0.701154 0.713010i
\(5\) 2.80567 1.10114i 1.25473 0.492446i 0.357462 0.933928i \(-0.383642\pi\)
0.897271 + 0.441481i \(0.145547\pi\)
\(6\) 0.734956 1.20824i 0.300044 0.493261i
\(7\) −1.52632 + 2.16110i −0.576896 + 0.816817i
\(8\) −2.62653 + 1.04945i −0.928619 + 0.371035i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 0.0975671 4.26135i 0.0308534 1.34756i
\(11\) −1.71367 5.55558i −0.516691 1.67507i −0.718404 0.695626i \(-0.755127\pi\)
0.201713 0.979445i \(-0.435349\pi\)
\(12\) −1.17411 1.61910i −0.338936 0.467393i
\(13\) 0.363826 + 0.0830410i 0.100907 + 0.0230314i 0.272676 0.962106i \(-0.412091\pi\)
−0.171769 + 0.985137i \(0.554948\pi\)
\(14\) 1.98429 + 3.17216i 0.530323 + 0.847796i
\(15\) 2.93845 0.670682i 0.758704 0.173169i
\(16\) −0.0670672 + 3.99944i −0.0167668 + 0.999859i
\(17\) 3.94001 5.77893i 0.955592 1.40160i 0.0401294 0.999194i \(-0.487223\pi\)
0.915463 0.402402i \(-0.131825\pi\)
\(18\) 0.906825 1.08520i 0.213741 0.255785i
\(19\) 1.74600 3.02417i 0.400561 0.693791i −0.593233 0.805031i \(-0.702149\pi\)
0.993794 + 0.111239i \(0.0354820\pi\)
\(20\) −5.50466 2.45680i −1.23088 0.549357i
\(21\) −1.83137 + 1.90947i −0.399638 + 0.416681i
\(22\) −8.18286 0.801950i −1.74459 0.170976i
\(23\) 0.103798 + 0.152244i 0.0216434 + 0.0317451i 0.836908 0.547344i \(-0.184361\pi\)
−0.815265 + 0.579089i \(0.803409\pi\)
\(24\) −2.75361 + 0.646260i −0.562078 + 0.131917i
\(25\) 2.99400 2.77802i 0.598800 0.555605i
\(26\) 0.307201 0.429136i 0.0602471 0.0841606i
\(27\) 0.900969 + 0.433884i 0.173392 + 0.0835010i
\(28\) 5.22214 0.853952i 0.986892 0.161382i
\(29\) −0.320214 + 0.154207i −0.0594623 + 0.0286355i −0.463379 0.886160i \(-0.653363\pi\)
0.403916 + 0.914796i \(0.367649\pi\)
\(30\) 0.731598 4.19921i 0.133571 0.766667i
\(31\) 4.31962 + 7.48180i 0.775827 + 1.34377i 0.934329 + 0.356413i \(0.116000\pi\)
−0.158502 + 0.987359i \(0.550666\pi\)
\(32\) 5.17973 + 2.27384i 0.915656 + 0.401962i
\(33\) −0.866513 5.74894i −0.150841 1.00076i
\(34\) −5.38348 8.29804i −0.923260 1.42310i
\(35\) −1.90268 + 7.74402i −0.321612 + 1.30898i
\(36\) −0.919680 1.77600i −0.153280 0.296001i
\(37\) −0.593000 + 7.91303i −0.0974885 + 1.30089i 0.707122 + 0.707091i \(0.249993\pi\)
−0.804611 + 0.593803i \(0.797626\pi\)
\(38\) −2.98988 3.93050i −0.485023 0.637611i
\(39\) 0.347386 + 0.136339i 0.0556263 + 0.0218317i
\(40\) −6.21358 + 5.83658i −0.982454 + 0.922845i
\(41\) 5.81173 + 4.63470i 0.907640 + 0.723819i 0.961522 0.274728i \(-0.0885879\pi\)
−0.0538814 + 0.998547i \(0.517159\pi\)
\(42\) 1.48934 + 3.43247i 0.229810 + 0.529642i
\(43\) −4.58736 + 3.65830i −0.699566 + 0.557885i −0.907394 0.420280i \(-0.861932\pi\)
0.207829 + 0.978165i \(0.433360\pi\)
\(44\) −5.51928 + 10.2344i −0.832062 + 1.54289i
\(45\) 3.00559 0.225238i 0.448047 0.0335765i
\(46\) 0.255312 0.0521552i 0.0376438 0.00768987i
\(47\) −5.05565 4.69095i −0.737442 0.684246i 0.219145 0.975692i \(-0.429673\pi\)
−0.956587 + 0.291446i \(0.905864\pi\)
\(48\) −0.662403 + 3.94477i −0.0956097 + 0.569379i
\(49\) −2.34067 6.59706i −0.334381 0.942438i
\(50\) −1.98661 5.42368i −0.280948 0.767024i
\(51\) 4.75731 5.12716i 0.666156 0.717946i
\(52\) −0.391778 0.635272i −0.0543299 0.0880964i
\(53\) 0.161590 + 2.15627i 0.0221961 + 0.296186i 0.997244 + 0.0741915i \(0.0236376\pi\)
−0.975048 + 0.221994i \(0.928743\pi\)
\(54\) 1.05844 0.937928i 0.144035 0.127636i
\(55\) −10.9255 13.7001i −1.47319 1.84732i
\(56\) 1.74098 7.27798i 0.232649 0.972561i
\(57\) 2.17723 2.73016i 0.288381 0.361619i
\(58\) 0.0260786 + 0.501950i 0.00342429 + 0.0659092i
\(59\) −3.14449 + 8.01204i −0.409378 + 1.04308i 0.566364 + 0.824155i \(0.308350\pi\)
−0.975742 + 0.218923i \(0.929746\pi\)
\(60\) −5.07701 3.24978i −0.655440 0.419545i
\(61\) −1.57359 0.117924i −0.201477 0.0150986i −0.0263908 0.999652i \(-0.508401\pi\)
−0.175086 + 0.984553i \(0.556020\pi\)
\(62\) 12.1198 1.54394i 1.53921 0.196081i
\(63\) −2.09551 + 1.61519i −0.264009 + 0.203495i
\(64\) 5.79733 5.51280i 0.724666 0.689100i
\(65\) 1.11222 0.167640i 0.137953 0.0207931i
\(66\) −7.97194 2.01258i −0.981278 0.247732i
\(67\) −7.35040 + 4.24376i −0.897995 + 0.518457i −0.876549 0.481313i \(-0.840160\pi\)
−0.0214456 + 0.999770i \(0.506827\pi\)
\(68\) −13.7660 + 2.48531i −1.66937 + 0.301388i
\(69\) 0.0799481 + 0.166014i 0.00962462 + 0.0199857i
\(70\) 9.06026 + 6.71505i 1.08291 + 0.802601i
\(71\) −0.231302 + 0.480303i −0.0274505 + 0.0570015i −0.914243 0.405166i \(-0.867214\pi\)
0.886793 + 0.462167i \(0.152928\pi\)
\(72\) −2.81917 + 0.228638i −0.332242 + 0.0269453i
\(73\) −3.07021 3.30890i −0.359341 0.387278i 0.527344 0.849652i \(-0.323188\pi\)
−0.886685 + 0.462374i \(0.846998\pi\)
\(74\) 9.99665 + 5.09924i 1.16209 + 0.592775i
\(75\) 3.37460 2.30076i 0.389665 0.265669i
\(76\) −6.76096 + 1.75098i −0.775535 + 0.200851i
\(77\) 14.6218 + 4.77621i 1.66630 + 0.544300i
\(78\) 0.367729 0.378557i 0.0416372 0.0428632i
\(79\) 10.1632 + 5.86770i 1.14344 + 0.660168i 0.947281 0.320404i \(-0.103819\pi\)
0.196163 + 0.980571i \(0.437152\pi\)
\(80\) 4.21579 + 11.2949i 0.471339 + 1.26281i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) 9.22206 5.04650i 1.01841 0.557293i
\(83\) 2.46534 + 10.8014i 0.270607 + 1.18561i 0.909299 + 0.416143i \(0.136618\pi\)
−0.638693 + 0.769462i \(0.720524\pi\)
\(84\) 5.29109 0.0660944i 0.577305 0.00721149i
\(85\) 4.69092 20.5523i 0.508802 2.22921i
\(86\) 2.26369 + 7.98309i 0.244100 + 0.860839i
\(87\) −0.339621 + 0.104759i −0.0364112 + 0.0112314i
\(88\) 10.3313 + 12.7935i 1.10132 + 1.36379i
\(89\) −3.52899 + 11.4407i −0.374072 + 1.21271i 0.551510 + 0.834168i \(0.314052\pi\)
−0.925583 + 0.378545i \(0.876425\pi\)
\(90\) 1.34929 4.04327i 0.142227 0.426198i
\(91\) −0.734776 + 0.659516i −0.0770255 + 0.0691361i
\(92\) 0.0715460 0.361511i 0.00745919 0.0376902i
\(93\) 3.15627 + 8.04204i 0.327290 + 0.833921i
\(94\) −8.88209 + 4.02960i −0.916118 + 0.415621i
\(95\) 1.56866 10.4074i 0.160942 1.06778i
\(96\) 4.78298 + 3.02044i 0.488161 + 0.308273i
\(97\) 11.7280i 1.19080i −0.803429 0.595401i \(-0.796993\pi\)
0.803429 0.595401i \(-0.203007\pi\)
\(98\) −9.88401 0.553510i −0.998436 0.0559129i
\(99\) 5.81387i 0.584316i
\(100\) −8.16002 0.373857i −0.816002 0.0373857i
\(101\) −1.42021 + 9.42248i −0.141316 + 0.937572i 0.799989 + 0.600015i \(0.204839\pi\)
−0.941305 + 0.337557i \(0.890399\pi\)
\(102\) −4.08659 9.00773i −0.404633 0.891898i
\(103\) −3.50806 8.93839i −0.345659 0.880726i −0.992956 0.118487i \(-0.962196\pi\)
0.647296 0.762239i \(-0.275900\pi\)
\(104\) −1.04275 + 0.163706i −0.102250 + 0.0160527i
\(105\) −3.03562 + 7.37395i −0.296246 + 0.719623i
\(106\) 2.90072 + 0.968003i 0.281742 + 0.0940208i
\(107\) 0.354707 1.14993i 0.0342908 0.111168i −0.936809 0.349840i \(-0.886236\pi\)
0.971100 + 0.238672i \(0.0767121\pi\)
\(108\) −0.644708 1.89324i −0.0620371 0.182177i
\(109\) 5.08269 1.56780i 0.486834 0.150168i −0.0416147 0.999134i \(-0.513250\pi\)
0.528448 + 0.848965i \(0.322774\pi\)
\(110\) −23.8414 + 6.76050i −2.27319 + 0.644588i
\(111\) −1.76575 + 7.73627i −0.167598 + 0.734294i
\(112\) −8.54080 6.24938i −0.807030 0.590511i
\(113\) 1.57815 + 6.91431i 0.148460 + 0.650444i 0.993314 + 0.115447i \(0.0368301\pi\)
−0.844854 + 0.534997i \(0.820313\pi\)
\(114\) −2.37068 4.33222i −0.222034 0.405749i
\(115\) 0.458866 + 0.312849i 0.0427895 + 0.0291734i
\(116\) 0.668941 + 0.240386i 0.0621096 + 0.0223193i
\(117\) 0.323186 + 0.186591i 0.0298785 + 0.0172504i
\(118\) 8.73097 + 8.48123i 0.803751 + 0.780761i
\(119\) 6.47509 + 17.3353i 0.593571 + 1.58912i
\(120\) −7.01408 + 4.84531i −0.640295 + 0.442314i
\(121\) −18.8392 + 12.8443i −1.71265 + 1.16767i
\(122\) −1.01404 + 1.98794i −0.0918066 + 0.179979i
\(123\) 5.05606 + 5.44913i 0.455889 + 0.491332i
\(124\) 4.61176 16.6517i 0.414149 1.49536i
\(125\) −1.19750 + 2.48664i −0.107108 + 0.222411i
\(126\) 0.961120 + 3.61611i 0.0856234 + 0.322149i
\(127\) −2.72901 5.66685i −0.242160 0.502851i 0.744096 0.668073i \(-0.232880\pi\)
−0.986257 + 0.165221i \(0.947166\pi\)
\(128\) −4.02104 10.5750i −0.355413 0.934709i
\(129\) −5.08136 + 2.93373i −0.447389 + 0.258300i
\(130\) 0.389364 1.54229i 0.0341495 0.135268i
\(131\) 10.4689 1.57793i 0.914672 0.137865i 0.325192 0.945648i \(-0.394571\pi\)
0.589480 + 0.807783i \(0.299333\pi\)
\(132\) −6.98298 + 9.29744i −0.607791 + 0.809239i
\(133\) 3.87055 + 8.38914i 0.335619 + 0.727431i
\(134\) 1.51683 + 11.9069i 0.131034 + 1.02860i
\(135\) 3.00559 + 0.225238i 0.258680 + 0.0193854i
\(136\) −4.28388 + 19.3134i −0.367340 + 1.65611i
\(137\) 7.44129 18.9601i 0.635753 1.61987i −0.140959 0.990015i \(-0.545019\pi\)
0.776712 0.629856i \(-0.216886\pi\)
\(138\) 0.260234 0.0135204i 0.0221526 0.00115093i
\(139\) −12.6693 + 15.8869i −1.07460 + 1.34751i −0.140667 + 0.990057i \(0.544925\pi\)
−0.933933 + 0.357448i \(0.883647\pi\)
\(140\) 13.7113 8.14624i 1.15881 0.688483i
\(141\) −4.30003 5.39207i −0.362128 0.454094i
\(142\) 0.500005 + 0.564249i 0.0419595 + 0.0473507i
\(143\) −0.162137 2.16357i −0.0135586 0.180927i
\(144\) −1.24294 + 3.80199i −0.103579 + 0.316832i
\(145\) −0.728610 + 0.785255i −0.0605078 + 0.0652119i
\(146\) −5.99413 + 2.19555i −0.496078 + 0.181705i
\(147\) −1.33129 6.87224i −0.109803 0.566813i
\(148\) 12.1157 10.2509i 0.995905 0.842616i
\(149\) −8.51380 7.89965i −0.697477 0.647164i 0.249533 0.968366i \(-0.419723\pi\)
−0.947011 + 0.321202i \(0.895913\pi\)
\(150\) −1.15606 5.65919i −0.0943919 0.462071i
\(151\) 13.5447 1.01503i 1.10225 0.0826021i 0.488844 0.872371i \(-0.337419\pi\)
0.613404 + 0.789769i \(0.289800\pi\)
\(152\) −1.41223 + 9.77540i −0.114547 + 0.792890i
\(153\) 5.46833 4.36085i 0.442089 0.352554i
\(154\) 14.2228 16.4599i 1.14610 1.32638i
\(155\) 20.3580 + 16.2349i 1.63519 + 1.30402i
\(156\) −0.292720 0.686568i −0.0234363 0.0549695i
\(157\) 9.34604 + 3.66805i 0.745896 + 0.292742i 0.707686 0.706527i \(-0.249739\pi\)
0.0382098 + 0.999270i \(0.487834\pi\)
\(158\) 13.2090 10.0479i 1.05085 0.799371i
\(159\) −0.161590 + 2.15627i −0.0128149 + 0.171003i
\(160\) 17.0364 + 0.676010i 1.34685 + 0.0534433i
\(161\) −0.487444 0.00805580i −0.0384159 0.000634886i
\(162\) 1.18641 0.769700i 0.0932130 0.0604733i
\(163\) −0.847575 5.62329i −0.0663872 0.440450i −0.997189 0.0749261i \(-0.976128\pi\)
0.930802 0.365524i \(-0.119110\pi\)
\(164\) −1.54066 14.7869i −0.120305 1.15467i
\(165\) −8.76156 15.1755i −0.682086 1.18141i
\(166\) 15.4358 + 2.68926i 1.19805 + 0.208727i
\(167\) 13.4490 6.47670i 1.04071 0.501182i 0.166155 0.986100i \(-0.446865\pi\)
0.874560 + 0.484918i \(0.161150\pi\)
\(168\) 2.80627 6.93721i 0.216508 0.535217i
\(169\) −11.5871 5.58006i −0.891317 0.429236i
\(170\) −24.2416 17.3536i −1.85925 1.33096i
\(171\) 2.55982 2.37517i 0.195755 0.181634i
\(172\) 11.6497 + 1.41161i 0.888281 + 0.107634i
\(173\) −1.61037 2.36198i −0.122434 0.179578i 0.760129 0.649773i \(-0.225136\pi\)
−0.882563 + 0.470195i \(0.844184\pi\)
\(174\) −0.0490244 + 0.500230i −0.00371653 + 0.0379224i
\(175\) 1.43377 + 10.7105i 0.108383 + 0.809636i
\(176\) 22.3341 6.48112i 1.68350 0.488533i
\(177\) −4.30350 + 7.45388i −0.323471 + 0.560268i
\(178\) 12.9927 + 10.8571i 0.973847 + 0.813772i
\(179\) 7.76352 11.3870i 0.580273 0.851104i −0.418084 0.908408i \(-0.637298\pi\)
0.998357 + 0.0573046i \(0.0182506\pi\)
\(180\) −4.53595 3.97018i −0.338090 0.295920i
\(181\) −1.78007 + 0.406288i −0.132311 + 0.0301992i −0.288164 0.957581i \(-0.593045\pi\)
0.155852 + 0.987780i \(0.450188\pi\)
\(182\) 0.458516 + 1.31889i 0.0339875 + 0.0977628i
\(183\) −1.53844 0.351138i −0.113724 0.0259569i
\(184\) −0.432401 0.290943i −0.0318770 0.0214486i
\(185\) 7.04962 + 22.8543i 0.518299 + 1.68028i
\(186\) 12.2145 + 0.279662i 0.895613 + 0.0205058i
\(187\) −38.8572 11.9859i −2.84152 0.876493i
\(188\) 0.400175 + 13.7876i 0.0291858 + 1.00557i
\(189\) −2.31283 + 1.28483i −0.168234 + 0.0934578i
\(190\) −12.7167 7.73538i −0.922564 0.561184i
\(191\) 15.1266 5.93674i 1.09452 0.429567i 0.251723 0.967799i \(-0.419003\pi\)
0.842797 + 0.538232i \(0.180908\pi\)
\(192\) 6.55422 4.58718i 0.473010 0.331051i
\(193\) 11.7874 + 1.77666i 0.848475 + 0.127887i 0.558866 0.829258i \(-0.311237\pi\)
0.289609 + 0.957145i \(0.406475\pi\)
\(194\) −15.2967 6.41135i −1.09824 0.460308i
\(195\) 1.12478 0.0805471
\(196\) −6.12521 + 12.5890i −0.437515 + 0.899211i
\(197\) −20.1629 −1.43655 −0.718275 0.695759i \(-0.755068\pi\)
−0.718275 + 0.695759i \(0.755068\pi\)
\(198\) −7.58294 3.17826i −0.538896 0.225869i
\(199\) −6.01407 0.906476i −0.426326 0.0642584i −0.0676251 0.997711i \(-0.521542\pi\)
−0.358701 + 0.933452i \(0.616780\pi\)
\(200\) −4.94844 + 10.4386i −0.349908 + 0.738121i
\(201\) −7.90080 + 3.10084i −0.557280 + 0.218716i
\(202\) 11.5132 + 7.00333i 0.810066 + 0.492753i
\(203\) 0.155494 0.927383i 0.0109136 0.0650895i
\(204\) −13.9826 + 0.405836i −0.978980 + 0.0284142i
\(205\) 21.4093 + 6.60389i 1.49529 + 0.461235i
\(206\) −13.5759 0.310833i −0.945880 0.0216567i
\(207\) 0.0543120 + 0.176075i 0.00377495 + 0.0122381i
\(208\) −0.356518 + 1.44953i −0.0247201 + 0.100507i
\(209\) −19.7931 4.51764i −1.36912 0.312492i
\(210\) 7.95824 + 7.99041i 0.549170 + 0.551390i
\(211\) 25.7015 5.86621i 1.76937 0.403847i 0.791182 0.611581i \(-0.209466\pi\)
0.978185 + 0.207734i \(0.0666090\pi\)
\(212\) 2.84828 3.25418i 0.195621 0.223498i
\(213\) −0.300304 + 0.440464i −0.0205765 + 0.0301801i
\(214\) −1.30593 1.09127i −0.0892715 0.0745977i
\(215\) −8.84230 + 15.3153i −0.603040 + 1.04450i
\(216\) −2.82176 0.194091i −0.191996 0.0132062i
\(217\) −22.7620 2.08454i −1.54519 0.141508i
\(218\) 0.733688 7.48634i 0.0496916 0.507039i
\(219\) −2.54275 3.72954i −0.171823 0.252019i
\(220\) −4.21576 + 34.7917i −0.284227 + 2.34566i
\(221\) 1.91337 1.77534i 0.128707 0.119423i
\(222\) 9.12500 + 6.53221i 0.612430 + 0.438413i
\(223\) −10.4498 5.03237i −0.699771 0.336992i 0.0499445 0.998752i \(-0.484096\pi\)
−0.749716 + 0.661760i \(0.769810\pi\)
\(224\) −12.8199 + 7.72329i −0.856568 + 0.516034i
\(225\) 3.67982 1.77211i 0.245321 0.118141i
\(226\) 9.88094 + 1.72149i 0.657271 + 0.114512i
\(227\) −6.29227 10.8985i −0.417633 0.723361i 0.578068 0.815989i \(-0.303807\pi\)
−0.995701 + 0.0926273i \(0.970473\pi\)
\(228\) −6.94641 + 0.723750i −0.460037 + 0.0479315i
\(229\) 2.99787 + 19.8896i 0.198105 + 1.31434i 0.837912 + 0.545805i \(0.183776\pi\)
−0.639808 + 0.768535i \(0.720986\pi\)
\(230\) 0.658892 0.427466i 0.0434460 0.0281863i
\(231\) 13.7466 + 6.90212i 0.904459 + 0.454126i
\(232\) 0.679220 0.741077i 0.0445930 0.0486541i
\(233\) 0.116288 1.55175i 0.00761826 0.101659i −0.992098 0.125462i \(-0.959959\pi\)
0.999717 + 0.0238037i \(0.00757766\pi\)
\(234\) 0.420043 0.319522i 0.0274591 0.0208878i
\(235\) −19.3499 7.59427i −1.26225 0.495396i
\(236\) 15.8349 6.75123i 1.03076 0.439468i
\(237\) 9.17510 + 7.31690i 0.595987 + 0.475284i
\(238\) 26.1498 + 1.03128i 1.69504 + 0.0668480i
\(239\) −6.57797 + 5.24575i −0.425493 + 0.339320i −0.812709 0.582669i \(-0.802008\pi\)
0.387216 + 0.921989i \(0.373437\pi\)
\(240\) 2.48528 + 11.7971i 0.160424 + 0.761501i
\(241\) 7.78062 0.583077i 0.501194 0.0375593i 0.178265 0.983983i \(-0.442952\pi\)
0.322929 + 0.946423i \(0.395333\pi\)
\(242\) 6.45387 + 31.5932i 0.414870 + 2.03089i
\(243\) 0.733052 + 0.680173i 0.0470253 + 0.0436331i
\(244\) 2.03849 + 2.40933i 0.130501 + 0.154242i
\(245\) −13.8315 15.9318i −0.883660 1.01784i
\(246\) 9.87119 3.61566i 0.629364 0.230526i
\(247\) 0.886372 0.955281i 0.0563985 0.0607831i
\(248\) −19.1974 15.1180i −1.21903 0.959992i
\(249\) 0.827946 + 11.0482i 0.0524690 + 0.700150i
\(250\) 2.58864 + 2.92124i 0.163720 + 0.184756i
\(251\) −17.4494 21.8808i −1.10139 1.38111i −0.917300 0.398197i \(-0.869636\pi\)
−0.184095 0.982908i \(-0.558935\pi\)
\(252\) 5.24184 + 0.723240i 0.330205 + 0.0455598i
\(253\) 0.667928 0.837555i 0.0419923 0.0526566i
\(254\) −8.88304 + 0.461515i −0.557371 + 0.0289580i
\(255\) 7.70169 19.6236i 0.482298 1.22888i
\(256\) −15.9910 0.536462i −0.999438 0.0335289i
\(257\) −23.2908 1.74541i −1.45284 0.108875i −0.675224 0.737613i \(-0.735953\pi\)
−0.777617 + 0.628738i \(0.783572\pi\)
\(258\) 1.04859 + 8.23131i 0.0652823 + 0.512459i
\(259\) −16.1957 13.3594i −1.00635 0.830111i
\(260\) −1.79873 1.35096i −0.111552 0.0837830i
\(261\) −0.351441 + 0.0529712i −0.0217537 + 0.00327884i
\(262\) 3.66494 14.5170i 0.226421 0.896864i
\(263\) 21.4261 12.3704i 1.32119 0.762790i 0.337272 0.941407i \(-0.390496\pi\)
0.983919 + 0.178617i \(0.0571624\pi\)
\(264\) 8.30912 + 14.1904i 0.511391 + 0.873359i
\(265\) 2.82773 + 5.87183i 0.173706 + 0.360704i
\(266\) 13.0577 0.462212i 0.800620 0.0283400i
\(267\) −5.19473 + 10.7870i −0.317912 + 0.660151i
\(268\) 16.3592 + 4.53077i 0.999298 + 0.276761i
\(269\) −3.05488 3.29238i −0.186259 0.200740i 0.633018 0.774137i \(-0.281816\pi\)
−0.819278 + 0.573397i \(0.805625\pi\)
\(270\) 1.93683 3.79701i 0.117872 0.231078i
\(271\) 5.26352 3.58860i 0.319736 0.217992i −0.392807 0.919621i \(-0.628496\pi\)
0.712543 + 0.701629i \(0.247543\pi\)
\(272\) 22.8482 + 16.1454i 1.38538 + 0.978958i
\(273\) −0.824865 + 0.542637i −0.0499231 + 0.0328419i
\(274\) −20.6614 20.0704i −1.24820 1.21250i
\(275\) −20.5643 11.8728i −1.24007 0.715956i
\(276\) 0.124627 0.346810i 0.00750169 0.0208755i
\(277\) −6.22613 4.24490i −0.374092 0.255051i 0.361650 0.932314i \(-0.382214\pi\)
−0.735741 + 0.677263i \(0.763166\pi\)
\(278\) 13.7950 + 25.2092i 0.827370 + 1.51195i
\(279\) 1.92241 + 8.42264i 0.115092 + 0.504250i
\(280\) −3.12948 22.3367i −0.187022 1.33487i
\(281\) −6.75347 + 29.5889i −0.402878 + 1.76513i 0.212767 + 0.977103i \(0.431752\pi\)
−0.615646 + 0.788023i \(0.711105\pi\)
\(282\) −9.38347 + 2.66078i −0.558777 + 0.158447i
\(283\) 4.45435 1.37399i 0.264784 0.0816750i −0.159521 0.987195i \(-0.550995\pi\)
0.424304 + 0.905520i \(0.360519\pi\)
\(284\) 1.00928 0.343691i 0.0598896 0.0203943i
\(285\) 3.10229 10.0574i 0.183764 0.595747i
\(286\) −2.91054 0.971283i −0.172104 0.0574331i
\(287\) −18.8866 + 5.48566i −1.11484 + 0.323808i
\(288\) 4.27939 + 3.69957i 0.252165 + 0.217999i
\(289\) −11.6616 29.7132i −0.685975 1.74784i
\(290\) 0.625887 + 1.37959i 0.0367533 + 0.0810122i
\(291\) 1.74797 11.5970i 0.102468 0.679831i
\(292\) −0.413179 + 9.01828i −0.0241795 + 0.527755i
\(293\) 2.69745i 0.157586i −0.996891 0.0787932i \(-0.974893\pi\)
0.996891 0.0787932i \(-0.0251067\pi\)
\(294\) −9.69112 2.02046i −0.565197 0.117836i
\(295\) 25.9417i 1.51038i
\(296\) −6.74676 21.4061i −0.392148 1.24421i
\(297\) 0.866513 5.74894i 0.0502802 0.333587i
\(298\) −14.9576 + 6.78591i −0.866471 + 0.393097i
\(299\) 0.0251220 + 0.0640099i 0.00145284 + 0.00370179i
\(300\) −8.01316 1.58587i −0.462640 0.0915603i
\(301\) −0.904134 15.4975i −0.0521134 0.893259i
\(302\) 6.08055 18.2210i 0.349896 1.04850i
\(303\) −2.80870 + 9.10557i −0.161355 + 0.523101i
\(304\) 11.9779 + 7.18586i 0.686978 + 0.412137i
\(305\) −4.54482 + 1.40189i −0.260235 + 0.0802720i
\(306\) −2.69842 9.51619i −0.154258 0.544005i
\(307\) −1.45949 + 6.39443i −0.0832973 + 0.364949i −0.999348 0.0361140i \(-0.988502\pi\)
0.916050 + 0.401063i \(0.131359\pi\)
\(308\) −13.6932 27.5486i −0.780244 1.56973i
\(309\) −2.13668 9.36141i −0.121551 0.532552i
\(310\) 32.3040 17.6774i 1.83474 1.00401i
\(311\) −2.43249 1.65845i −0.137934 0.0940418i 0.492387 0.870376i \(-0.336124\pi\)
−0.630321 + 0.776334i \(0.717077\pi\)
\(312\) −1.05550 + 0.00646424i −0.0597559 + 0.000365966i
\(313\) −13.6653 7.88968i −0.772410 0.445951i 0.0613236 0.998118i \(-0.480468\pi\)
−0.833734 + 0.552167i \(0.813801\pi\)
\(314\) 9.89336 10.1847i 0.558315 0.574755i
\(315\) −4.10074 + 6.83915i −0.231051 + 0.385342i
\(316\) −5.88441 22.7212i −0.331024 1.27817i
\(317\) −12.5466 + 8.55410i −0.704685 + 0.480446i −0.861874 0.507122i \(-0.830709\pi\)
0.157189 + 0.987569i \(0.449757\pi\)
\(318\) 2.72404 + 1.38952i 0.152757 + 0.0779205i
\(319\) 1.40545 + 1.51472i 0.0786901 + 0.0848078i
\(320\) 10.1950 21.8508i 0.569917 1.22150i
\(321\) 0.522134 1.08422i 0.0291427 0.0605154i
\(322\) −0.276977 + 0.631360i −0.0154353 + 0.0351843i
\(323\) −10.5972 22.0053i −0.589643 1.22441i
\(324\) −0.355335 1.96818i −0.0197408 0.109343i
\(325\) 1.31998 0.762094i 0.0732196 0.0422733i
\(326\) −7.79770 1.96860i −0.431875 0.109031i
\(327\) 5.25959 0.792756i 0.290856 0.0438395i
\(328\) −20.1286 6.07409i −1.11141 0.335386i
\(329\) 17.8542 3.76582i 0.984332 0.207616i
\(330\) −24.5828 + 3.13160i −1.35324 + 0.172389i
\(331\) −12.3787 0.927655i −0.680394 0.0509885i −0.269950 0.962874i \(-0.587007\pi\)
−0.410444 + 0.911886i \(0.634626\pi\)
\(332\) 11.9458 18.6625i 0.655612 1.02424i
\(333\) −2.89906 + 7.38669i −0.158868 + 0.404788i
\(334\) −1.09530 21.0819i −0.0599323 1.15355i
\(335\) −15.9498 + 20.0004i −0.871431 + 1.09274i
\(336\) −7.51399 7.45252i −0.409922 0.406568i
\(337\) 8.06985 + 10.1193i 0.439593 + 0.551232i 0.951436 0.307847i \(-0.0996085\pi\)
−0.511843 + 0.859079i \(0.671037\pi\)
\(338\) −13.6123 + 12.0624i −0.740411 + 0.656110i
\(339\) 0.529995 + 7.07230i 0.0287854 + 0.384114i
\(340\) −35.8861 + 22.1313i −1.94620 + 1.20024i
\(341\) 34.1634 36.8193i 1.85005 1.99388i
\(342\) −1.69852 4.63716i −0.0918453 0.250749i
\(343\) 17.8295 + 5.01084i 0.962703 + 0.270560i
\(344\) 8.20966 14.4228i 0.442635 0.777626i
\(345\) 0.407113 + 0.377746i 0.0219182 + 0.0203371i
\(346\) −3.96102 + 0.809158i −0.212946 + 0.0435006i
\(347\) −13.8882 + 1.04077i −0.745556 + 0.0558717i −0.442090 0.896971i \(-0.645763\pi\)
−0.303466 + 0.952842i \(0.598144\pi\)
\(348\) 0.625642 + 0.337402i 0.0335379 + 0.0180866i
\(349\) −10.6156 + 8.46568i −0.568242 + 0.453158i −0.864984 0.501800i \(-0.832671\pi\)
0.296742 + 0.954958i \(0.404100\pi\)
\(350\) 14.7533 + 3.98504i 0.788597 + 0.213010i
\(351\) 0.291766 + 0.232676i 0.0155733 + 0.0124193i
\(352\) 3.75615 32.6730i 0.200203 1.74148i
\(353\) 23.6912 + 9.29811i 1.26096 + 0.494889i 0.899263 0.437409i \(-0.144104\pi\)
0.361693 + 0.932297i \(0.382199\pi\)
\(354\) 7.36939 + 9.68779i 0.391678 + 0.514900i
\(355\) −0.120073 + 1.60227i −0.00637283 + 0.0850395i
\(356\) 21.2634 11.0110i 1.12696 0.583581i
\(357\) 3.81909 + 18.1067i 0.202128 + 0.958308i
\(358\) −10.6078 16.3507i −0.560639 0.864163i
\(359\) −2.64664 17.5593i −0.139684 0.926746i −0.943382 0.331708i \(-0.892375\pi\)
0.803698 0.595038i \(-0.202863\pi\)
\(360\) −7.65790 + 3.74580i −0.403607 + 0.197421i
\(361\) 3.40294 + 5.89407i 0.179102 + 0.310214i
\(362\) −0.443190 + 2.54381i −0.0232936 + 0.133700i
\(363\) −20.5431 + 9.89304i −1.07823 + 0.519250i
\(364\) 1.97087 + 0.122961i 0.103301 + 0.00644493i
\(365\) −12.2576 5.90294i −0.641591 0.308974i
\(366\) −1.29900 + 1.81460i −0.0678997 + 0.0948507i
\(367\) 1.59964 1.48425i 0.0835008 0.0774774i −0.637318 0.770601i \(-0.719956\pi\)
0.720819 + 0.693123i \(0.243766\pi\)
\(368\) −0.615852 + 0.404924i −0.0321035 + 0.0211081i
\(369\) 4.18743 + 6.14184i 0.217989 + 0.319731i
\(370\) 33.6623 + 3.29903i 1.75002 + 0.171508i
\(371\) −4.90654 2.94195i −0.254735 0.152738i
\(372\) 7.04205 15.7783i 0.365114 0.818068i
\(373\) −12.9500 + 22.4300i −0.670525 + 1.16138i 0.307230 + 0.951635i \(0.400598\pi\)
−0.977755 + 0.209748i \(0.932736\pi\)
\(374\) −36.8749 + 44.1285i −1.90676 + 2.28183i
\(375\) −1.55474 + 2.28038i −0.0802864 + 0.117759i
\(376\) 18.2017 + 7.01531i 0.938682 + 0.361787i
\(377\) −0.129308 + 0.0295137i −0.00665969 + 0.00152003i
\(378\) 0.411432 + 3.71897i 0.0211618 + 0.191283i
\(379\) 1.85588 + 0.423593i 0.0953303 + 0.0217585i 0.269920 0.962883i \(-0.413003\pi\)
−0.174590 + 0.984641i \(0.555860\pi\)
\(380\) −17.0409 + 12.3574i −0.874181 + 0.633923i
\(381\) −1.85393 6.01029i −0.0949797 0.307917i
\(382\) 0.526027 22.9748i 0.0269139 1.17549i
\(383\) −1.90032 0.586171i −0.0971018 0.0299519i 0.245824 0.969315i \(-0.420942\pi\)
−0.342925 + 0.939363i \(0.611418\pi\)
\(384\) −2.40000 11.0562i −0.122474 0.564210i
\(385\) 46.2831 2.70019i 2.35880 0.137614i
\(386\) 8.76107 14.4029i 0.445927 0.733086i
\(387\) −5.46186 + 2.14362i −0.277642 + 0.108966i
\(388\) −16.7244 + 16.4463i −0.849054 + 0.834935i
\(389\) −23.1487 3.48910i −1.17369 0.176905i −0.466885 0.884318i \(-0.654624\pi\)
−0.706800 + 0.707413i \(0.749862\pi\)
\(390\) 0.614881 1.46703i 0.0311357 0.0742859i
\(391\) 1.28877 0.0651761
\(392\) 13.0711 + 14.8710i 0.660190 + 0.751098i
\(393\) 10.5871 0.534051
\(394\) −11.0224 + 26.2982i −0.555302 + 1.32488i
\(395\) 34.9756 + 5.27173i 1.75981 + 0.265249i
\(396\) −8.29070 + 8.15284i −0.416623 + 0.409696i
\(397\) −11.2620 + 4.42001i −0.565223 + 0.221834i −0.630709 0.776020i \(-0.717236\pi\)
0.0654853 + 0.997854i \(0.479140\pi\)
\(398\) −4.47000 + 7.34851i −0.224061 + 0.368348i
\(399\) 2.57698 + 8.87231i 0.129010 + 0.444171i
\(400\) 10.9097 + 12.1606i 0.545487 + 0.608031i
\(401\) 27.1586 + 8.37732i 1.35624 + 0.418343i 0.885790 0.464086i \(-0.153617\pi\)
0.470446 + 0.882429i \(0.344093\pi\)
\(402\) −0.274751 + 12.0000i −0.0137033 + 0.598506i
\(403\) 0.950295 + 3.08078i 0.0473376 + 0.153465i
\(404\) 15.4282 11.1880i 0.767583 0.556622i
\(405\) 2.93845 + 0.670682i 0.146013 + 0.0333264i
\(406\) −1.12457 0.709780i −0.0558113 0.0352258i
\(407\) 44.9777 10.2659i 2.22946 0.508860i
\(408\) −7.11454 + 18.4592i −0.352222 + 0.913865i
\(409\) 16.2931 23.8976i 0.805642 1.18166i −0.174752 0.984612i \(-0.555912\pi\)
0.980394 0.197047i \(-0.0631353\pi\)
\(410\) 20.3171 24.3136i 1.00339 1.20076i
\(411\) 10.1840 17.6393i 0.502342 0.870081i
\(412\) −7.82695 + 17.5369i −0.385606 + 0.863983i
\(413\) −12.5153 19.0245i −0.615836 0.936135i
\(414\) 0.259343 + 0.0254165i 0.0127460 + 0.00124915i
\(415\) 18.8108 + 27.5904i 0.923386 + 1.35436i
\(416\) 1.69570 + 1.25741i 0.0831386 + 0.0616497i
\(417\) −14.8956 + 13.8211i −0.729443 + 0.676824i
\(418\) −16.7125 + 23.3461i −0.817436 + 1.14190i
\(419\) −27.5088 13.2475i −1.34389 0.647184i −0.382907 0.923787i \(-0.625077\pi\)
−0.960984 + 0.276603i \(0.910791\pi\)
\(420\) 14.7723 6.01169i 0.720813 0.293340i
\(421\) 1.52458 0.734201i 0.0743037 0.0357828i −0.396363 0.918094i \(-0.629728\pi\)
0.470667 + 0.882311i \(0.344013\pi\)
\(422\) 6.39902 36.7290i 0.311500 1.78794i
\(423\) −3.44836 5.97273i −0.167665 0.290404i
\(424\) −2.68730 5.49392i −0.130507 0.266808i
\(425\) −4.25763 28.2475i −0.206526 1.37021i
\(426\) 0.410324 + 0.632469i 0.0198803 + 0.0306432i
\(427\) 2.65665 3.22068i 0.128564 0.155860i
\(428\) −2.13724 + 1.10674i −0.103307 + 0.0534963i
\(429\) 0.162137 2.16357i 0.00782806 0.104458i
\(430\) 15.1417 + 19.9053i 0.730197 + 0.959916i
\(431\) 27.6299 + 10.8439i 1.33088 + 0.522333i 0.920914 0.389766i \(-0.127444\pi\)
0.409970 + 0.912099i \(0.365539\pi\)
\(432\) −1.79572 + 3.57427i −0.0863964 + 0.171967i
\(433\) −30.4972 24.3207i −1.46560 1.16878i −0.950122 0.311879i \(-0.899042\pi\)
−0.515481 0.856901i \(-0.672387\pi\)
\(434\) −15.1621 + 28.5486i −0.727805 + 1.37038i
\(435\) −0.837509 + 0.667891i −0.0401555 + 0.0320229i
\(436\) −9.36322 5.04948i −0.448417 0.241826i
\(437\) 0.641643 0.0480845i 0.0306940 0.00230019i
\(438\) −6.25441 + 1.27765i −0.298847 + 0.0610486i
\(439\) −13.8167 12.8201i −0.659437 0.611868i 0.277768 0.960648i \(-0.410405\pi\)
−0.937204 + 0.348781i \(0.886596\pi\)
\(440\) 43.0736 + 24.5181i 2.05346 + 1.16885i
\(441\) −0.292162 6.99390i −0.0139125 0.333043i
\(442\) −1.26957 3.46610i −0.0603875 0.164865i
\(443\) −13.6127 + 14.6710i −0.646760 + 0.697042i −0.968282 0.249860i \(-0.919615\pi\)
0.321522 + 0.946902i \(0.395806\pi\)
\(444\) 13.5082 8.33063i 0.641071 0.395354i
\(445\) 2.69669 + 35.9848i 0.127835 + 1.70584i
\(446\) −12.2762 + 10.8785i −0.581295 + 0.515111i
\(447\) −7.24132 9.08033i −0.342503 0.429485i
\(448\) 3.06509 + 20.9429i 0.144812 + 0.989459i
\(449\) −2.59992 + 3.26020i −0.122698 + 0.153858i −0.839386 0.543535i \(-0.817085\pi\)
0.716689 + 0.697393i \(0.245657\pi\)
\(450\) −0.299689 5.76828i −0.0141275 0.271919i
\(451\) 15.7891 40.2299i 0.743479 1.89435i
\(452\) 7.64690 11.9465i 0.359680 0.561914i
\(453\) 13.5447 + 1.01503i 0.636384 + 0.0476904i
\(454\) −17.6546 + 2.24902i −0.828570 + 0.105552i
\(455\) −1.33532 + 2.65948i −0.0626006 + 0.124678i
\(456\) −2.85341 + 9.45574i −0.133623 + 0.442805i
\(457\) −29.1633 + 4.39566i −1.36420 + 0.205620i −0.790006 0.613099i \(-0.789923\pi\)
−0.574194 + 0.818719i \(0.694685\pi\)
\(458\) 27.5805 + 6.96293i 1.28875 + 0.325356i
\(459\) 6.05721 3.49713i 0.282726 0.163232i
\(460\) −0.197341 1.09306i −0.00920109 0.0509643i
\(461\) 8.82571 + 18.3268i 0.411054 + 0.853563i 0.999002 + 0.0446643i \(0.0142218\pi\)
−0.587948 + 0.808899i \(0.700064\pi\)
\(462\) 16.5171 14.1563i 0.768447 0.658609i
\(463\) −16.5562 + 34.3792i −0.769430 + 1.59774i 0.0318817 + 0.999492i \(0.489850\pi\)
−0.801312 + 0.598247i \(0.795864\pi\)
\(464\) −0.595265 1.29102i −0.0276345 0.0599340i
\(465\) 17.7109 + 19.0878i 0.821323 + 0.885175i
\(466\) −1.96035 0.999965i −0.0908115 0.0463225i
\(467\) −11.2891 + 7.69674i −0.522395 + 0.356163i −0.795628 0.605785i \(-0.792859\pi\)
0.273234 + 0.961948i \(0.411907\pi\)
\(468\) −0.187123 0.722528i −0.00864975 0.0333989i
\(469\) 2.04793 22.3623i 0.0945646 1.03259i
\(470\) −20.4830 + 21.0862i −0.944812 + 0.972633i
\(471\) 8.69496 + 5.02004i 0.400643 + 0.231311i
\(472\) −0.149090 24.3438i −0.00686242 1.12052i
\(473\) 28.1852 + 19.2163i 1.29596 + 0.883568i
\(474\) 14.5590 7.96701i 0.668719 0.365937i
\(475\) −3.17368 13.9048i −0.145618 0.637996i
\(476\) 15.6404 33.5430i 0.716874 1.53744i
\(477\) −0.481160 + 2.10810i −0.0220308 + 0.0965232i
\(478\) 3.24598 + 11.4472i 0.148468 + 0.523583i
\(479\) 30.8796 9.52509i 1.41092 0.435213i 0.506645 0.862155i \(-0.330885\pi\)
0.904279 + 0.426942i \(0.140409\pi\)
\(480\) 16.7454 + 3.20761i 0.764320 + 0.146407i
\(481\) −0.872854 + 2.82972i −0.0397987 + 0.129024i
\(482\) 3.49292 10.4669i 0.159098 0.476753i
\(483\) −0.480799 0.0806155i −0.0218771 0.00366813i
\(484\) 44.7346 + 8.85335i 2.03339 + 0.402425i
\(485\) −12.9143 32.9050i −0.586406 1.49414i
\(486\) 1.28787 0.584278i 0.0584191 0.0265034i
\(487\) −3.47085 + 23.0276i −0.157279 + 1.04348i 0.761345 + 0.648347i \(0.224539\pi\)
−0.918624 + 0.395133i \(0.870699\pi\)
\(488\) 4.25683 1.34166i 0.192698 0.0607342i
\(489\) 5.68681i 0.257166i
\(490\) −28.3407 + 9.33075i −1.28030 + 0.421520i
\(491\) 30.3304i 1.36879i 0.729112 + 0.684395i \(0.239933\pi\)
−0.729112 + 0.684395i \(0.760067\pi\)
\(492\) 0.680427 14.8514i 0.0306760 0.669553i
\(493\) −0.370495 + 2.45807i −0.0166862 + 0.110706i
\(494\) −0.761406 1.67830i −0.0342573 0.0755103i
\(495\) −6.40191 16.3118i −0.287745 0.733161i
\(496\) −30.2127 + 16.7743i −1.35659 + 0.753187i
\(497\) −0.684939 1.23296i −0.0307237 0.0553059i
\(498\) 14.8626 + 4.95981i 0.666007 + 0.222254i
\(499\) 0.430234 1.39478i 0.0192599 0.0624391i −0.945433 0.325817i \(-0.894361\pi\)
0.964693 + 0.263378i \(0.0848367\pi\)
\(500\) 5.22526 1.77937i 0.233681 0.0795757i
\(501\) 14.2641 4.39989i 0.637272 0.196572i
\(502\) −38.0778 + 10.7974i −1.69950 + 0.481910i
\(503\) −1.83606 + 8.04431i −0.0818659 + 0.358678i −0.999224 0.0393847i \(-0.987460\pi\)
0.917358 + 0.398063i \(0.130317\pi\)
\(504\) 3.80886 6.44147i 0.169660 0.286926i
\(505\) 6.39087 + 28.0002i 0.284390 + 1.24599i
\(506\) −0.727274 1.32903i −0.0323313 0.0590827i
\(507\) −10.6260 7.24471i −0.471919 0.321749i
\(508\) −4.25413 + 11.8383i −0.188746 + 0.525239i
\(509\) −6.99647 4.03941i −0.310113 0.179044i 0.336864 0.941553i \(-0.390634\pi\)
−0.646977 + 0.762509i \(0.723967\pi\)
\(510\) −21.3844 20.7728i −0.946919 0.919834i
\(511\) 11.8370 1.58457i 0.523638 0.0700971i
\(512\) −9.44147 + 20.5635i −0.417258 + 0.908788i
\(513\) 2.88523 1.96712i 0.127386 0.0868504i
\(514\) −15.0089 + 29.4237i −0.662012 + 1.29782i
\(515\) −19.6849 21.2153i −0.867421 0.934857i
\(516\) 11.3092 + 3.13214i 0.497859 + 0.137885i
\(517\) −17.3973 + 36.1258i −0.765131 + 1.58881i
\(518\) −26.2781 + 13.8206i −1.15459 + 0.607244i
\(519\) −1.24035 2.57561i −0.0544452 0.113057i
\(520\) −2.74534 + 1.60752i −0.120391 + 0.0704944i
\(521\) −19.8502 + 11.4605i −0.869654 + 0.502095i −0.867233 0.497902i \(-0.834104\pi\)
−0.00242074 + 0.999997i \(0.500771\pi\)
\(522\) −0.123032 + 0.487336i −0.00538498 + 0.0213301i
\(523\) 1.50305 0.226548i 0.0657237 0.00990625i −0.116098 0.993238i \(-0.537039\pi\)
0.181822 + 0.983332i \(0.441801\pi\)
\(524\) −16.9308 12.7161i −0.739625 0.555506i
\(525\) −0.178563 + 10.8045i −0.00779312 + 0.471549i
\(526\) −4.42149 34.7082i −0.192786 1.51335i
\(527\) 60.2562 + 4.51557i 2.62480 + 0.196702i
\(528\) 23.0506 3.08000i 1.00315 0.134040i
\(529\) 8.39044 21.3785i 0.364802 0.929500i
\(530\) 9.20436 0.478209i 0.399812 0.0207721i
\(531\) −5.36638 + 6.72923i −0.232881 + 0.292024i
\(532\) 6.53538 17.2836i 0.283345 0.749340i
\(533\) 1.72959 + 2.16884i 0.0749169 + 0.0939428i
\(534\) 11.2295 + 12.6723i 0.485946 + 0.548383i
\(535\) −0.271050 3.61691i −0.0117185 0.156373i
\(536\) 14.8525 18.8602i 0.641529 0.814637i
\(537\) 9.37395 10.1027i 0.404516 0.435964i
\(538\) −5.96420 + 2.18459i −0.257135 + 0.0941843i
\(539\) −32.6394 + 24.3090i −1.40588 + 1.04706i
\(540\) −3.89357 4.60188i −0.167552 0.198033i
\(541\) 15.5305 + 14.4102i 0.667707 + 0.619541i 0.939392 0.342845i \(-0.111391\pi\)
−0.271685 + 0.962386i \(0.587581\pi\)
\(542\) −1.80316 8.82689i −0.0774523 0.379147i
\(543\) −1.82074 + 0.136445i −0.0781353 + 0.00585543i
\(544\) 33.5486 20.9744i 1.43838 0.899269i
\(545\) 12.5340 9.99551i 0.536896 0.428161i
\(546\) 0.256825 + 1.37250i 0.0109911 + 0.0587376i
\(547\) 19.8054 + 15.7943i 0.846817 + 0.675314i 0.947553 0.319599i \(-0.103548\pi\)
−0.100736 + 0.994913i \(0.532120\pi\)
\(548\) −37.4725 + 15.9765i −1.60074 + 0.682481i
\(549\) −1.46892 0.576508i −0.0626919 0.0246048i
\(550\) −26.7273 + 20.3311i −1.13966 + 0.866923i
\(551\) −0.0927473 + 1.23763i −0.00395117 + 0.0527247i
\(552\) −0.384209 0.352139i −0.0163530 0.0149880i
\(553\) −28.1929 + 13.0075i −1.19888 + 0.553137i
\(554\) −8.94018 + 5.80008i −0.379832 + 0.246422i
\(555\) 3.56463 + 23.6497i 0.151310 + 1.00388i
\(556\) 40.4213 4.21152i 1.71424 0.178608i
\(557\) −15.1694 26.2741i −0.642747 1.11327i −0.984817 0.173596i \(-0.944461\pi\)
0.342070 0.939675i \(-0.388872\pi\)
\(558\) 12.0364 + 2.09702i 0.509542 + 0.0887739i
\(559\) −1.97279 + 0.950045i −0.0834401 + 0.0401826i
\(560\) −30.8441 8.12903i −1.30340 0.343514i
\(561\) −36.6368 17.6433i −1.54681 0.744903i
\(562\) 34.9004 + 24.9838i 1.47218 + 1.05388i
\(563\) 15.4535 14.3387i 0.651285 0.604304i −0.283733 0.958903i \(-0.591573\pi\)
0.935019 + 0.354599i \(0.115383\pi\)
\(564\) −1.65923 + 13.6933i −0.0698663 + 0.576590i
\(565\) 12.0414 + 17.6615i 0.506586 + 0.743025i
\(566\) 0.642987 6.56085i 0.0270268 0.275773i
\(567\) −2.47850 + 0.925772i −0.104087 + 0.0388788i
\(568\) 0.103469 1.50427i 0.00434147 0.0631177i
\(569\) 21.5465 37.3196i 0.903276 1.56452i 0.0800615 0.996790i \(-0.474488\pi\)
0.823215 0.567730i \(-0.192178\pi\)
\(570\) −11.4217 9.54431i −0.478404 0.399767i
\(571\) 0.395201 0.579654i 0.0165387 0.0242578i −0.817880 0.575388i \(-0.804851\pi\)
0.834419 + 0.551130i \(0.185803\pi\)
\(572\) −2.85793 + 3.26520i −0.119496 + 0.136525i
\(573\) 15.8424 3.61593i 0.661827 0.151058i
\(574\) −3.16987 + 27.6323i −0.132308 + 1.15335i
\(575\) 0.733709 + 0.167464i 0.0305978 + 0.00698375i
\(576\) 7.16470 3.55909i 0.298529 0.148295i
\(577\) −12.1980 39.5449i −0.507809 1.64628i −0.739253 0.673427i \(-0.764821\pi\)
0.231445 0.972848i \(-0.425655\pi\)
\(578\) −45.1295 1.03328i −1.87714 0.0429787i
\(579\) 11.3909 + 3.51364i 0.473391 + 0.146022i
\(580\) 2.14153 0.0621562i 0.0889220 0.00258090i
\(581\) −27.1057 11.1586i −1.12453 0.462935i
\(582\) −14.1703 8.61959i −0.587377 0.357294i
\(583\) 11.7024 4.59285i 0.484664 0.190217i
\(584\) 11.5365 + 5.46891i 0.477385 + 0.226305i
\(585\) 1.11222 + 0.167640i 0.0459845 + 0.00693104i
\(586\) −3.51823 1.47461i −0.145337 0.0609155i
\(587\) 10.0898 0.416450 0.208225 0.978081i \(-0.433231\pi\)
0.208225 + 0.978081i \(0.433231\pi\)
\(588\) −7.93308 + 11.5354i −0.327155 + 0.475713i
\(589\) 30.1683 1.24306
\(590\) 33.8353 + 14.1815i 1.39298 + 0.583842i
\(591\) −19.9377 3.00513i −0.820129 0.123615i
\(592\) −31.6079 2.90237i −1.29908 0.119287i
\(593\) 20.8579 8.18614i 0.856533 0.336164i 0.103886 0.994589i \(-0.466872\pi\)
0.752647 + 0.658425i \(0.228777\pi\)
\(594\) −7.02455 4.27294i −0.288221 0.175321i
\(595\) 37.2556 + 41.5070i 1.52733 + 1.70162i
\(596\) 0.673902 + 23.2186i 0.0276041 + 0.951070i
\(597\) −5.81180 1.79270i −0.237861 0.0733704i
\(598\) 0.0972204 + 0.00222594i 0.00397564 + 9.10256e-5i
\(599\) −5.99870 19.4473i −0.245100 0.794596i −0.991615 0.129227i \(-0.958750\pi\)
0.746515 0.665369i \(-0.231726\pi\)
\(600\) −6.44897 + 9.58449i −0.263278 + 0.391285i
\(601\) −16.3611 3.73432i −0.667385 0.152326i −0.124612 0.992206i \(-0.539769\pi\)
−0.542773 + 0.839879i \(0.682626\pi\)
\(602\) −20.7073 7.29273i −0.843968 0.297229i
\(603\) −8.27471 + 1.88865i −0.336972 + 0.0769118i
\(604\) −20.4412 17.8916i −0.831742 0.727998i
\(605\) −38.7130 + 56.7816i −1.57391 + 2.30850i
\(606\) 10.3408 + 8.64106i 0.420067 + 0.351019i
\(607\) −3.13404 + 5.42831i −0.127207 + 0.220328i −0.922593 0.385774i \(-0.873934\pi\)
0.795387 + 0.606102i \(0.207268\pi\)
\(608\) 15.9203 11.6942i 0.645654 0.474264i
\(609\) 0.291977 0.893850i 0.0118315 0.0362206i
\(610\) −0.656046 + 6.69409i −0.0265625 + 0.271036i
\(611\) −1.44984 2.12652i −0.0586541 0.0860297i
\(612\) −13.8869 1.68270i −0.561347 0.0680192i
\(613\) 15.4543 14.3395i 0.624193 0.579166i −0.303352 0.952879i \(-0.598106\pi\)
0.927545 + 0.373712i \(0.121915\pi\)
\(614\) 7.54228 + 5.39921i 0.304382 + 0.217894i
\(615\) 20.1859 + 9.72101i 0.813974 + 0.391989i
\(616\) −43.4169 + 2.79987i −1.74932 + 0.112810i
\(617\) −11.6041 + 5.58824i −0.467163 + 0.224974i −0.652630 0.757676i \(-0.726335\pi\)
0.185467 + 0.982650i \(0.440620\pi\)
\(618\) −13.3780 2.33075i −0.538141 0.0937565i
\(619\) −6.86291 11.8869i −0.275844 0.477775i 0.694504 0.719489i \(-0.255624\pi\)
−0.970348 + 0.241714i \(0.922291\pi\)
\(620\) −5.39678 51.7972i −0.216740 2.08023i
\(621\) 0.0274628 + 0.182203i 0.00110204 + 0.00731157i
\(622\) −3.49285 + 2.26604i −0.140050 + 0.0908599i
\(623\) −19.3381 25.0887i −0.774764 1.00516i
\(624\) −0.568577 + 1.38020i −0.0227613 + 0.0552524i
\(625\) −2.14774 + 28.6597i −0.0859098 + 1.14639i
\(626\) −17.7608 + 13.5104i −0.709863 + 0.539985i
\(627\) −18.8987 7.41719i −0.754741 0.296214i
\(628\) −7.87531 18.4714i −0.314259 0.737089i
\(629\) 43.3924 + 34.6043i 1.73017 + 1.37976i
\(630\) 6.67844 + 9.08727i 0.266075 + 0.362046i
\(631\) 25.7382 20.5256i 1.02462 0.817110i 0.0413312 0.999146i \(-0.486840\pi\)
0.983292 + 0.182036i \(0.0582687\pi\)
\(632\) −32.8517 4.74602i −1.30677 0.188786i
\(633\) 26.2888 1.97007i 1.04489 0.0783034i
\(634\) 4.29816 + 21.0405i 0.170702 + 0.835626i
\(635\) −13.8967 12.8943i −0.551474 0.511693i
\(636\) 3.30148 2.79332i 0.130912 0.110762i
\(637\) −0.303771 2.59456i −0.0120358 0.102800i
\(638\) 2.74393 1.00506i 0.108633 0.0397906i
\(639\) −0.362597 + 0.390787i −0.0143441 + 0.0154593i
\(640\) −22.9263 25.2423i −0.906243 0.997789i
\(641\) 1.55093 + 20.6958i 0.0612582 + 0.817433i 0.940226 + 0.340552i \(0.110614\pi\)
−0.878968 + 0.476882i \(0.841767\pi\)
\(642\) −1.12870 1.27372i −0.0445462 0.0502697i
\(643\) −1.06575 1.33640i −0.0420290 0.0527027i 0.760373 0.649487i \(-0.225016\pi\)
−0.802402 + 0.596784i \(0.796445\pi\)
\(644\) 0.672058 + 0.706401i 0.0264828 + 0.0278361i
\(645\) −11.0262 + 13.8264i −0.434155 + 0.544413i
\(646\) −34.4943 + 1.79214i −1.35716 + 0.0705107i
\(647\) −11.7545 + 29.9499i −0.462116 + 1.17745i 0.490002 + 0.871722i \(0.336996\pi\)
−0.952118 + 0.305731i \(0.901099\pi\)
\(648\) −2.76132 0.612485i −0.108475 0.0240607i
\(649\) 49.9001 + 3.73950i 1.95875 + 0.146788i
\(650\) −0.272392 2.13825i −0.0106841 0.0838689i
\(651\) −22.1971 5.45376i −0.869973 0.213750i
\(652\) −6.83036 + 9.09424i −0.267498 + 0.356158i
\(653\) 39.1271 5.89746i 1.53116 0.230786i 0.671251 0.741230i \(-0.265757\pi\)
0.859911 + 0.510444i \(0.170519\pi\)
\(654\) 1.84127 7.29337i 0.0719995 0.285193i
\(655\) 27.6347 15.9549i 1.07978 0.623410i
\(656\) −18.9260 + 22.9328i −0.738936 + 0.895377i
\(657\) −1.95850 4.06686i −0.0764082 0.158663i
\(658\) 4.84861 25.3455i 0.189018 0.988071i
\(659\) −3.63072 + 7.53927i −0.141433 + 0.293688i −0.959638 0.281238i \(-0.909255\pi\)
0.818205 + 0.574926i \(0.194969\pi\)
\(660\) −9.35412 + 33.7748i −0.364108 + 1.31468i
\(661\) 10.2612 + 11.0590i 0.399115 + 0.430144i 0.900349 0.435168i \(-0.143311\pi\)
−0.501234 + 0.865312i \(0.667121\pi\)
\(662\) −7.97696 + 15.6382i −0.310033 + 0.607796i
\(663\) 2.15660 1.47034i 0.0837553 0.0571034i
\(664\) −17.8108 25.7829i −0.691191 1.00057i
\(665\) 20.0971 + 19.2751i 0.779333 + 0.747457i
\(666\) 8.04950 + 7.81926i 0.311912 + 0.302990i
\(667\) −0.0567147 0.0327443i −0.00219600 0.00126786i
\(668\) −28.0955 10.0962i −1.08705 0.390635i
\(669\) −9.58306 6.53362i −0.370503 0.252604i
\(670\) 17.3670 + 31.7367i 0.670944 + 1.22609i
\(671\) 2.04147 + 8.94428i 0.0788102 + 0.345290i
\(672\) −13.8278 + 5.72631i −0.533421 + 0.220897i
\(673\) −9.24461 + 40.5033i −0.356353 + 1.56129i 0.405845 + 0.913942i \(0.366977\pi\)
−0.762198 + 0.647344i \(0.775880\pi\)
\(674\) 17.6099 4.99348i 0.678309 0.192342i
\(675\) 3.90284 1.20387i 0.150220 0.0463368i
\(676\) 8.29142 + 24.3484i 0.318901 + 0.936478i
\(677\) −7.91739 + 25.6676i −0.304290 + 0.986484i 0.666287 + 0.745695i \(0.267882\pi\)
−0.970577 + 0.240789i \(0.922594\pi\)
\(678\) 9.51401 + 3.17494i 0.365383 + 0.121933i
\(679\) 25.3454 + 17.9008i 0.972668 + 0.686969i
\(680\) 9.24764 + 58.9041i 0.354631 + 2.25887i
\(681\) −4.59765 11.7146i −0.176182 0.448905i
\(682\) −29.3468 64.6866i −1.12375 2.47698i
\(683\) 2.58586 17.1561i 0.0989452 0.656458i −0.883293 0.468821i \(-0.844679\pi\)
0.982238 0.187637i \(-0.0600830\pi\)
\(684\) −6.97670 0.319642i −0.266761 0.0122218i
\(685\) 61.3897i 2.34558i
\(686\) 16.2824 20.5155i 0.621664 0.783284i
\(687\) 20.1142i 0.767406i
\(688\) −14.3235 18.5922i −0.546077 0.708821i
\(689\) −0.120268 + 0.797925i −0.00458184 + 0.0303985i
\(690\) 0.715243 0.324489i 0.0272288 0.0123531i
\(691\) −5.65575 14.4106i −0.215155 0.548206i 0.782026 0.623246i \(-0.214187\pi\)
−0.997180 + 0.0750406i \(0.976091\pi\)
\(692\) −1.10999 + 5.60863i −0.0421956 + 0.213208i
\(693\) 12.5643 + 8.87386i 0.477280 + 0.337090i
\(694\) −6.23476 + 18.6831i −0.236668 + 0.709199i
\(695\) −18.0523 + 58.5240i −0.684761 + 2.21994i
\(696\) 0.782086 0.631567i 0.0296449 0.0239395i
\(697\) 49.6819 15.3248i 1.88184 0.580470i
\(698\) 5.23842 + 18.4737i 0.198277 + 0.699240i
\(699\) 0.346265 1.51709i 0.0130970 0.0573815i
\(700\) 13.2628 17.0640i 0.501286 0.644957i
\(701\) −1.64967 7.22766i −0.0623071 0.272985i 0.934172 0.356822i \(-0.116140\pi\)
−0.996479 + 0.0838368i \(0.973283\pi\)
\(702\) 0.462974 0.253349i 0.0174738 0.00956204i
\(703\) 22.8949 + 15.6095i 0.863499 + 0.588724i
\(704\) −40.5615 22.7604i −1.52872 0.857815i
\(705\) −18.0019 10.3934i −0.677991 0.391438i
\(706\) 25.0786 25.8171i 0.943846 0.971638i
\(707\) −18.1952 17.4510i −0.684300 0.656311i
\(708\) 16.6642 4.31576i 0.626280 0.162196i
\(709\) 28.2072 19.2313i 1.05934 0.722248i 0.0973301 0.995252i \(-0.468970\pi\)
0.962013 + 0.273004i \(0.0880174\pi\)
\(710\) 2.02417 + 1.03252i 0.0759657 + 0.0387497i
\(711\) 7.98210 + 8.60265i 0.299352 + 0.322625i
\(712\) −2.73740 33.7529i −0.102588 1.26494i
\(713\) −0.690691 + 1.43423i −0.0258666 + 0.0537125i
\(714\) 25.7040 + 4.91719i 0.961949 + 0.184021i
\(715\) −2.83731 5.89172i −0.106109 0.220338i
\(716\) −27.1249 + 4.89713i −1.01371 + 0.183014i
\(717\) −7.28634 + 4.20677i −0.272113 + 0.157105i
\(718\) −24.3492 6.14716i −0.908703 0.229410i
\(719\) −22.6213 + 3.40961i −0.843632 + 0.127157i −0.556617 0.830769i \(-0.687901\pi\)
−0.287015 + 0.957926i \(0.592663\pi\)
\(720\) 0.699248 + 12.0358i 0.0260594 + 0.448547i
\(721\) 24.6712 + 6.06163i 0.918802 + 0.225747i
\(722\) 9.54782 1.21630i 0.355333 0.0452660i
\(723\) 7.78062 + 0.583077i 0.289364 + 0.0216849i
\(724\) 3.07557 + 1.96867i 0.114303 + 0.0731650i
\(725\) −0.530330 + 1.35126i −0.0196959 + 0.0501845i
\(726\) 1.67306 + 32.2022i 0.0620929 + 1.19514i
\(727\) −9.74757 + 12.2231i −0.361518 + 0.453329i −0.929013 0.370048i \(-0.879341\pi\)
0.567495 + 0.823377i \(0.307913\pi\)
\(728\) 1.23779 2.50335i 0.0458754 0.0927802i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) −14.3999 + 12.7604i −0.532965 + 0.472284i
\(731\) 3.06681 + 40.9237i 0.113430 + 1.51362i
\(732\) 1.65663 + 2.68624i 0.0612308 + 0.0992865i
\(733\) −4.51338 + 4.86427i −0.166705 + 0.179666i −0.810879 0.585213i \(-0.801011\pi\)
0.644174 + 0.764879i \(0.277201\pi\)
\(734\) −1.06141 2.89778i −0.0391774 0.106959i
\(735\) −11.3025 17.8153i −0.416898 0.657127i
\(736\) 0.191469 + 1.02460i 0.00705763 + 0.0377674i
\(737\) 36.1727 + 33.5634i 1.33244 + 1.23632i
\(738\) 10.2998 2.10405i 0.379142 0.0774511i
\(739\) −34.6350 + 2.59553i −1.27407 + 0.0954782i −0.694528 0.719465i \(-0.744387\pi\)
−0.579540 + 0.814944i \(0.696768\pi\)
\(740\) 22.7050 42.1017i 0.834652 1.54769i
\(741\) 1.01885 0.812505i 0.0374283 0.0298481i
\(742\) −6.51938 + 4.79124i −0.239334 + 0.175892i
\(743\) −3.91983 3.12596i −0.143805 0.114680i 0.548945 0.835858i \(-0.315030\pi\)
−0.692750 + 0.721178i \(0.743601\pi\)
\(744\) −16.7297 17.8103i −0.613341 0.652959i
\(745\) −32.5855 12.7889i −1.19384 0.468548i
\(746\) 22.1758 + 29.1522i 0.811913 + 1.06734i
\(747\) −0.827946 + 11.0482i −0.0302930 + 0.404232i
\(748\) 37.3977 + 72.2190i 1.36739 + 2.64059i
\(749\) 1.94372 + 2.52173i 0.0710218 + 0.0921418i
\(750\) 2.12434 + 3.27443i 0.0775699 + 0.119565i
\(751\) −2.12749 14.1149i −0.0776331 0.515062i −0.993523 0.113632i \(-0.963751\pi\)
0.915890 0.401430i \(-0.131487\pi\)
\(752\) 19.1002 19.9051i 0.696514 0.725866i
\(753\) −13.9933 24.2371i −0.509945 0.883250i
\(754\) −0.0321943 + 0.184788i −0.00117245 + 0.00672958i
\(755\) 36.8841 17.7625i 1.34235 0.646442i
\(756\) 5.07550 + 1.49642i 0.184594 + 0.0544242i
\(757\) 23.0791 + 11.1143i 0.838824 + 0.403956i 0.803417 0.595417i \(-0.203013\pi\)
0.0354070 + 0.999373i \(0.488727\pi\)
\(758\) 1.56704 2.18903i 0.0569173 0.0795092i
\(759\) 0.785299 0.728651i 0.0285045 0.0264484i
\(760\) 6.80186 + 28.9816i 0.246730 + 1.05127i
\(761\) 6.66162 + 9.77080i 0.241483 + 0.354191i 0.927778 0.373133i \(-0.121716\pi\)
−0.686295 + 0.727324i \(0.740764\pi\)
\(762\) −8.85260 0.867588i −0.320696 0.0314294i
\(763\) −4.36966 + 13.3772i −0.158192 + 0.484286i
\(764\) −29.6780 13.2457i −1.07371 0.479211i
\(765\) 10.5404 18.2565i 0.381089 0.660066i
\(766\) −1.80338 + 2.15811i −0.0651586 + 0.0779758i
\(767\) −1.80938 + 2.65387i −0.0653328 + 0.0958256i
\(768\) −15.7324 2.91381i −0.567696 0.105143i
\(769\) −15.4222 + 3.52001i −0.556138 + 0.126935i −0.491347 0.870964i \(-0.663495\pi\)
−0.0647912 + 0.997899i \(0.520638\pi\)
\(770\) 21.7797 61.8424i 0.784886 2.22864i
\(771\) −22.7705 5.19723i −0.820061 0.187174i
\(772\) −13.9960 19.3005i −0.503727 0.694640