Properties

Label 400.2.bl.a.109.47
Level $400$
Weight $2$
Character 400.109
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bl (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 109.47
Character \(\chi\) \(=\) 400.109
Dual form 400.2.bl.a.389.47

$q$-expansion

\(f(q)\) \(=\) \(q+(1.08235 - 0.910234i) q^{2} +(2.23494 + 1.13876i) q^{3} +(0.342948 - 1.97038i) q^{4} +(-1.70670 - 1.44471i) q^{5} +(3.45552 - 0.801789i) q^{6} +1.03629 q^{7} +(-1.42232 - 2.44479i) q^{8} +(1.93484 + 2.66309i) q^{9} +O(q^{10})\) \(q+(1.08235 - 0.910234i) q^{2} +(2.23494 + 1.13876i) q^{3} +(0.342948 - 1.97038i) q^{4} +(-1.70670 - 1.44471i) q^{5} +(3.45552 - 0.801789i) q^{6} +1.03629 q^{7} +(-1.42232 - 2.44479i) q^{8} +(1.93484 + 2.66309i) q^{9} +(-3.16226 - 0.0101798i) q^{10} +(3.45339 - 0.546964i) q^{11} +(3.01026 - 4.01315i) q^{12} +(-0.657502 + 4.15131i) q^{13} +(1.12162 - 0.943265i) q^{14} +(-2.16920 - 5.17236i) q^{15} +(-3.76477 - 1.35147i) q^{16} +(-1.05165 - 0.341703i) q^{17} +(4.51820 + 1.12122i) q^{18} +(-0.953910 + 0.486041i) q^{19} +(-3.43193 + 2.86738i) q^{20} +(2.31605 + 1.18008i) q^{21} +(3.23990 - 3.73540i) q^{22} +(-3.71583 - 2.69971i) q^{23} +(-0.394762 - 7.08366i) q^{24} +(0.825637 + 4.93136i) q^{25} +(3.06702 + 5.09163i) q^{26} +(0.114482 + 0.722808i) q^{27} +(0.355393 - 2.04188i) q^{28} +(0.525186 - 1.03074i) q^{29} +(-7.05589 - 3.62381i) q^{30} +(-1.38830 + 4.27275i) q^{31} +(-5.30495 + 1.96406i) q^{32} +(8.34100 + 2.71016i) q^{33} +(-1.44928 + 0.587410i) q^{34} +(-1.76863 - 1.49713i) q^{35} +(5.91083 - 2.89907i) q^{36} +(-5.85001 - 0.926551i) q^{37} +(-0.590050 + 1.39435i) q^{38} +(-6.19683 + 8.52920i) q^{39} +(-1.10455 + 6.22736i) q^{40} +(6.02492 + 8.29259i) q^{41} +(3.58092 - 0.830884i) q^{42} +(8.20962 + 8.20962i) q^{43} +(0.106609 - 6.99207i) q^{44} +(0.545185 - 7.34037i) q^{45} +(-6.47918 + 0.460255i) q^{46} +(2.50436 - 0.813716i) q^{47} +(-6.87506 - 7.30765i) q^{48} -5.92611 q^{49} +(5.38232 + 4.58592i) q^{50} +(-1.96127 - 1.96127i) q^{51} +(7.95415 + 2.71921i) q^{52} +(1.21081 - 2.37636i) q^{53} +(0.781834 + 0.678124i) q^{54} +(-6.68410 - 4.05564i) q^{55} +(-1.47393 - 2.53351i) q^{56} -2.68542 q^{57} +(-0.369778 - 1.59366i) q^{58} +(-1.26115 + 7.96257i) q^{59} +(-10.9354 + 2.50029i) q^{60} +(0.0773955 + 0.488656i) q^{61} +(2.38658 + 5.88827i) q^{62} +(2.00506 + 2.75972i) q^{63} +(-3.95403 + 6.95454i) q^{64} +(7.11958 - 6.13513i) q^{65} +(11.4947 - 4.65894i) q^{66} +(-4.97394 - 9.76190i) q^{67} +(-1.03395 + 1.95497i) q^{68} +(-5.23035 - 10.2651i) q^{69} +(-3.27701 - 0.0105492i) q^{70} +(-11.3607 + 3.69132i) q^{71} +(3.75873 - 8.51805i) q^{72} +(-12.2418 - 8.89419i) q^{73} +(-7.17512 + 4.32203i) q^{74} +(-3.77039 + 11.9615i) q^{75} +(0.630544 + 2.04625i) q^{76} +(3.57871 - 0.566812i) q^{77} +(1.05646 + 14.8721i) q^{78} +(-1.97792 - 6.08741i) q^{79} +(4.47285 + 7.74556i) q^{80} +(2.48438 - 7.64613i) q^{81} +(14.0693 + 3.49137i) q^{82} +(1.69498 + 3.32658i) q^{83} +(3.11950 - 4.15878i) q^{84} +(1.30120 + 2.10252i) q^{85} +(16.3583 + 1.41298i) q^{86} +(2.34752 - 1.70558i) q^{87} +(-6.24903 - 7.66488i) q^{88} +(8.73466 - 12.0222i) q^{89} +(-6.09137 - 8.44107i) q^{90} +(-0.681362 + 4.30195i) q^{91} +(-6.59378 + 6.39573i) q^{92} +(-7.96841 + 7.96841i) q^{93} +(1.96991 - 3.16028i) q^{94} +(2.33022 + 0.548595i) q^{95} +(-14.0929 - 1.65149i) q^{96} +(-1.61525 + 0.524826i) q^{97} +(-6.41410 + 5.39414i) q^{98} +(8.13839 + 8.13839i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 10q^{2} - 10q^{3} - 6q^{4} - 8q^{5} - 6q^{6} - 40q^{8} + O(q^{10}) \) \( 464q - 10q^{2} - 10q^{3} - 6q^{4} - 8q^{5} - 6q^{6} - 40q^{8} - 2q^{10} - 6q^{11} - 10q^{12} - 10q^{13} - 18q^{14} - 16q^{15} - 6q^{16} - 20q^{17} - 6q^{19} + 6q^{20} - 24q^{21} - 10q^{22} - 16q^{24} - 36q^{26} - 10q^{27} - 50q^{28} - 6q^{29} + 14q^{30} - 36q^{31} - 20q^{33} - 46q^{34} - 36q^{35} + 38q^{36} - 10q^{37} + 60q^{38} - 84q^{40} - 70q^{42} + 36q^{44} - 24q^{45} + 2q^{46} - 20q^{47} - 140q^{48} + 336q^{49} - 46q^{50} - 28q^{51} + 80q^{52} - 10q^{53} - 30q^{54} - 48q^{56} - 10q^{58} - 6q^{59} + 112q^{60} - 6q^{61} - 10q^{62} - 160q^{63} - 24q^{64} - 48q^{65} - 104q^{66} - 70q^{67} + 6q^{69} - 100q^{70} - 10q^{72} + 28q^{74} - 46q^{75} + 44q^{76} - 80q^{77} - 10q^{78} - 52q^{79} - 2q^{80} + 72q^{81} - 10q^{83} + 28q^{84} - 18q^{85} + 34q^{86} + 100q^{88} + 74q^{90} - 48q^{91} + 80q^{92} - 6q^{94} - 40q^{95} + 54q^{96} - 20q^{97} - 100q^{98} - 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{7}{10}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.08235 0.910234i 0.765335 0.643633i
\(3\) 2.23494 + 1.13876i 1.29035 + 0.657464i 0.958291 0.285796i \(-0.0922579\pi\)
0.332055 + 0.943260i \(0.392258\pi\)
\(4\) 0.342948 1.97038i 0.171474 0.985189i
\(5\) −1.70670 1.44471i −0.763259 0.646093i
\(6\) 3.45552 0.801789i 1.41071 0.327329i
\(7\) 1.03629 0.391680 0.195840 0.980636i \(-0.437257\pi\)
0.195840 + 0.980636i \(0.437257\pi\)
\(8\) −1.42232 2.44479i −0.502865 0.864365i
\(9\) 1.93484 + 2.66309i 0.644948 + 0.887695i
\(10\) −3.16226 0.0101798i −0.999995 0.00321913i
\(11\) 3.45339 0.546964i 1.04124 0.164916i 0.387681 0.921794i \(-0.373276\pi\)
0.653556 + 0.756878i \(0.273276\pi\)
\(12\) 3.01026 4.01315i 0.868987 1.15850i
\(13\) −0.657502 + 4.15131i −0.182358 + 1.15137i 0.711390 + 0.702797i \(0.248066\pi\)
−0.893749 + 0.448568i \(0.851934\pi\)
\(14\) 1.12162 0.943265i 0.299766 0.252098i
\(15\) −2.16920 5.17236i −0.560085 1.33550i
\(16\) −3.76477 1.35147i −0.941193 0.337868i
\(17\) −1.05165 0.341703i −0.255064 0.0828752i 0.178694 0.983905i \(-0.442813\pi\)
−0.433758 + 0.901029i \(0.642813\pi\)
\(18\) 4.51820 + 1.12122i 1.06495 + 0.264274i
\(19\) −0.953910 + 0.486041i −0.218842 + 0.111506i −0.559975 0.828509i \(-0.689189\pi\)
0.341133 + 0.940015i \(0.389189\pi\)
\(20\) −3.43193 + 2.86738i −0.767403 + 0.641166i
\(21\) 2.31605 + 1.18008i 0.505403 + 0.257516i
\(22\) 3.23990 3.73540i 0.690750 0.796390i
\(23\) −3.71583 2.69971i −0.774804 0.562928i 0.128611 0.991695i \(-0.458948\pi\)
−0.903415 + 0.428767i \(0.858948\pi\)
\(24\) −0.394762 7.08366i −0.0805804 1.44595i
\(25\) 0.825637 + 4.93136i 0.165127 + 0.986272i
\(26\) 3.06702 + 5.09163i 0.601491 + 0.998551i
\(27\) 0.114482 + 0.722808i 0.0220320 + 0.139105i
\(28\) 0.355393 2.04188i 0.0671629 0.385879i
\(29\) 0.525186 1.03074i 0.0975246 0.191403i −0.837090 0.547066i \(-0.815745\pi\)
0.934614 + 0.355663i \(0.115745\pi\)
\(30\) −7.05589 3.62381i −1.28822 0.661614i
\(31\) −1.38830 + 4.27275i −0.249346 + 0.767408i 0.745545 + 0.666455i \(0.232189\pi\)
−0.994891 + 0.100953i \(0.967811\pi\)
\(32\) −5.30495 + 1.96406i −0.937791 + 0.347201i
\(33\) 8.34100 + 2.71016i 1.45198 + 0.471778i
\(34\) −1.44928 + 0.587410i −0.248550 + 0.100740i
\(35\) −1.76863 1.49713i −0.298953 0.253062i
\(36\) 5.91083 2.89907i 0.985139 0.483179i
\(37\) −5.85001 0.926551i −0.961736 0.152324i −0.344226 0.938887i \(-0.611859\pi\)
−0.617510 + 0.786563i \(0.711859\pi\)
\(38\) −0.590050 + 1.39435i −0.0957187 + 0.226193i
\(39\) −6.19683 + 8.52920i −0.992287 + 1.36577i
\(40\) −1.10455 + 6.22736i −0.174644 + 0.984632i
\(41\) 6.02492 + 8.29259i 0.940935 + 1.29509i 0.955438 + 0.295191i \(0.0953832\pi\)
−0.0145035 + 0.999895i \(0.504617\pi\)
\(42\) 3.58092 0.830884i 0.552548 0.128208i
\(43\) 8.20962 + 8.20962i 1.25195 + 1.25195i 0.954842 + 0.297112i \(0.0960236\pi\)
0.297112 + 0.954842i \(0.403976\pi\)
\(44\) 0.106609 6.99207i 0.0160719 1.05409i
\(45\) 0.545185 7.34037i 0.0812713 1.09424i
\(46\) −6.47918 + 0.460255i −0.955303 + 0.0678609i
\(47\) 2.50436 0.813716i 0.365299 0.118693i −0.120615 0.992699i \(-0.538487\pi\)
0.485914 + 0.874007i \(0.338487\pi\)
\(48\) −6.87506 7.30765i −0.992329 1.05477i
\(49\) −5.92611 −0.846587
\(50\) 5.38232 + 4.58592i 0.761175 + 0.648547i
\(51\) −1.96127 1.96127i −0.274633 0.274633i
\(52\) 7.95415 + 2.71921i 1.10304 + 0.377086i
\(53\) 1.21081 2.37636i 0.166318 0.326418i −0.792772 0.609518i \(-0.791363\pi\)
0.959090 + 0.283100i \(0.0913630\pi\)
\(54\) 0.781834 + 0.678124i 0.106394 + 0.0922810i
\(55\) −6.68410 4.05564i −0.901284 0.546863i
\(56\) −1.47393 2.53351i −0.196962 0.338555i
\(57\) −2.68542 −0.355693
\(58\) −0.369778 1.59366i −0.0485542 0.209257i
\(59\) −1.26115 + 7.96257i −0.164187 + 1.03664i 0.758664 + 0.651482i \(0.225852\pi\)
−0.922851 + 0.385156i \(0.874148\pi\)
\(60\) −10.9354 + 2.50029i −1.41176 + 0.322786i
\(61\) 0.0773955 + 0.488656i 0.00990948 + 0.0625660i 0.992148 0.125073i \(-0.0399165\pi\)
−0.982238 + 0.187639i \(0.939916\pi\)
\(62\) 2.38658 + 5.88827i 0.303096 + 0.747811i
\(63\) 2.00506 + 2.75972i 0.252613 + 0.347693i
\(64\) −3.95403 + 6.95454i −0.494254 + 0.869317i
\(65\) 7.11958 6.13513i 0.883076 0.760969i
\(66\) 11.4947 4.65894i 1.41490 0.573476i
\(67\) −4.97394 9.76190i −0.607663 1.19261i −0.965885 0.258970i \(-0.916617\pi\)
0.358222 0.933636i \(-0.383383\pi\)
\(68\) −1.03395 + 1.95497i −0.125384 + 0.237075i
\(69\) −5.23035 10.2651i −0.629660 1.23578i
\(70\) −3.27701 0.0105492i −0.391678 0.00126087i
\(71\) −11.3607 + 3.69132i −1.34827 + 0.438079i −0.892109 0.451820i \(-0.850775\pi\)
−0.456159 + 0.889898i \(0.650775\pi\)
\(72\) 3.75873 8.51805i 0.442971 1.00386i
\(73\) −12.2418 8.89419i −1.43280 1.04099i −0.989488 0.144617i \(-0.953805\pi\)
−0.443307 0.896370i \(-0.646195\pi\)
\(74\) −7.17512 + 4.32203i −0.834091 + 0.502426i
\(75\) −3.77039 + 11.9615i −0.435367 + 1.38120i
\(76\) 0.630544 + 2.04625i 0.0723283 + 0.234721i
\(77\) 3.57871 0.566812i 0.407832 0.0645942i
\(78\) 1.05646 + 14.8721i 0.119620 + 1.68394i
\(79\) −1.97792 6.08741i −0.222533 0.684887i −0.998533 0.0541531i \(-0.982754\pi\)
0.776000 0.630734i \(-0.217246\pi\)
\(80\) 4.47285 + 7.74556i 0.500080 + 0.865979i
\(81\) 2.48438 7.64613i 0.276042 0.849570i
\(82\) 14.0693 + 3.49137i 1.55369 + 0.385557i
\(83\) 1.69498 + 3.32658i 0.186048 + 0.365139i 0.965125 0.261788i \(-0.0843122\pi\)
−0.779078 + 0.626928i \(0.784312\pi\)
\(84\) 3.11950 4.15878i 0.340365 0.453760i
\(85\) 1.30120 + 2.10252i 0.141134 + 0.228050i
\(86\) 16.3583 + 1.41298i 1.76396 + 0.152365i
\(87\) 2.34752 1.70558i 0.251681 0.182857i
\(88\) −6.24903 7.66488i −0.666149 0.817079i
\(89\) 8.73466 12.0222i 0.925872 1.27435i −0.0355757 0.999367i \(-0.511326\pi\)
0.961448 0.274987i \(-0.0886735\pi\)
\(90\) −6.09137 8.44107i −0.642087 0.889767i
\(91\) −0.681362 + 4.30195i −0.0714261 + 0.450967i
\(92\) −6.59378 + 6.39573i −0.687449 + 0.666801i
\(93\) −7.96841 + 7.96841i −0.826286 + 0.826286i
\(94\) 1.96991 3.16028i 0.203181 0.325958i
\(95\) 2.33022 + 0.548595i 0.239076 + 0.0562847i
\(96\) −14.0929 1.65149i −1.43835 0.168555i
\(97\) −1.61525 + 0.524826i −0.164004 + 0.0532880i −0.389868 0.920871i \(-0.627479\pi\)
0.225864 + 0.974159i \(0.427479\pi\)
\(98\) −6.41410 + 5.39414i −0.647922 + 0.544891i
\(99\) 8.13839 + 8.13839i 0.817939 + 0.817939i
\(100\) 9.99979 + 0.0643823i 0.999979 + 0.00643823i
\(101\) 11.2952 11.2952i 1.12392 1.12392i 0.132770 0.991147i \(-0.457613\pi\)
0.991147 0.132770i \(-0.0423870\pi\)
\(102\) −3.90799 0.337559i −0.386949 0.0334233i
\(103\) 0.805332 + 2.47856i 0.0793517 + 0.244220i 0.982861 0.184350i \(-0.0590179\pi\)
−0.903509 + 0.428569i \(0.859018\pi\)
\(104\) 11.0843 4.29701i 1.08690 0.421357i
\(105\) −2.24791 5.36006i −0.219374 0.523088i
\(106\) −0.852521 3.67417i −0.0828041 0.356867i
\(107\) −8.72696 8.72696i −0.843667 0.843667i 0.145666 0.989334i \(-0.453467\pi\)
−0.989334 + 0.145666i \(0.953467\pi\)
\(108\) 1.46347 + 0.0223136i 0.140822 + 0.00214713i
\(109\) 17.8404 + 2.82564i 1.70880 + 0.270648i 0.932882 0.360183i \(-0.117286\pi\)
0.775921 + 0.630831i \(0.217286\pi\)
\(110\) −10.9261 + 1.69449i −1.04176 + 0.161563i
\(111\) −12.0193 8.73256i −1.14083 0.828858i
\(112\) −3.90139 1.40052i −0.368647 0.132336i
\(113\) 6.19966 + 8.53309i 0.583215 + 0.802726i 0.994043 0.108987i \(-0.0347605\pi\)
−0.410829 + 0.911713i \(0.634761\pi\)
\(114\) −2.90656 + 2.44436i −0.272224 + 0.228935i
\(115\) 2.44151 + 9.97588i 0.227672 + 0.930255i
\(116\) −1.85083 1.38830i −0.171845 0.128901i
\(117\) −12.3274 + 6.28115i −1.13967 + 0.580692i
\(118\) 5.88280 + 9.76620i 0.541556 + 0.899051i
\(119\) −1.08982 0.354103i −0.0999033 0.0324606i
\(120\) −9.56008 + 12.6600i −0.872712 + 1.15569i
\(121\) 1.16513 0.378575i 0.105921 0.0344159i
\(122\) 0.528560 + 0.458447i 0.0478536 + 0.0415059i
\(123\) 4.02208 + 25.3944i 0.362659 + 2.28974i
\(124\) 7.94281 + 4.20081i 0.713286 + 0.377243i
\(125\) 5.71526 9.60915i 0.511189 0.859469i
\(126\) 4.68216 + 1.16191i 0.417120 + 0.103511i
\(127\) −6.43710 + 8.85991i −0.571201 + 0.786190i −0.992696 0.120640i \(-0.961505\pi\)
0.421496 + 0.906830i \(0.361505\pi\)
\(128\) 2.05063 + 11.1263i 0.181251 + 0.983437i
\(129\) 8.99925 + 27.6968i 0.792340 + 2.43857i
\(130\) 2.12145 13.1208i 0.186064 1.15077i
\(131\) −3.77362 + 1.92275i −0.329702 + 0.167992i −0.611004 0.791628i \(-0.709234\pi\)
0.281301 + 0.959620i \(0.409234\pi\)
\(132\) 8.20056 15.5055i 0.713767 1.34958i
\(133\) −0.988525 + 0.503679i −0.0857160 + 0.0436745i
\(134\) −14.2691 6.03831i −1.23267 0.521631i
\(135\) 0.848862 1.39901i 0.0730584 0.120407i
\(136\) 0.660391 + 3.05709i 0.0566281 + 0.262143i
\(137\) −6.52492 + 4.74063i −0.557461 + 0.405019i −0.830529 0.556976i \(-0.811962\pi\)
0.273068 + 0.961995i \(0.411962\pi\)
\(138\) −15.0047 6.34960i −1.27729 0.540514i
\(139\) 9.75776 1.54548i 0.827642 0.131086i 0.271779 0.962360i \(-0.412388\pi\)
0.555863 + 0.831274i \(0.312388\pi\)
\(140\) −3.55647 + 2.97143i −0.300576 + 0.251132i
\(141\) 6.52374 + 1.03326i 0.549398 + 0.0870161i
\(142\) −8.93626 + 14.3362i −0.749914 + 1.20307i
\(143\) 14.6957i 1.22892i
\(144\) −3.68516 12.6408i −0.307097 1.05340i
\(145\) −2.38545 + 1.00041i −0.198101 + 0.0830799i
\(146\) −21.3457 + 1.51631i −1.76658 + 0.125491i
\(147\) −13.2445 6.74842i −1.09239 0.556600i
\(148\) −3.83191 + 11.2090i −0.314981 + 0.921372i
\(149\) 15.6170 15.6170i 1.27940 1.27940i 0.338393 0.941005i \(-0.390117\pi\)
0.941005 0.338393i \(-0.109883\pi\)
\(150\) 6.80692 + 16.3784i 0.555783 + 1.33729i
\(151\) 6.79343i 0.552841i −0.961037 0.276421i \(-0.910852\pi\)
0.961037 0.276421i \(-0.0891483\pi\)
\(152\) 2.54503 + 1.64081i 0.206429 + 0.133087i
\(153\) −1.12480 3.46179i −0.0909349 0.279869i
\(154\) 3.35747 3.87095i 0.270553 0.311930i
\(155\) 8.54228 5.28660i 0.686133 0.424630i
\(156\) 14.6806 + 15.1352i 1.17539 + 1.21178i
\(157\) 1.69307 1.69307i 0.135121 0.135121i −0.636311 0.771433i \(-0.719541\pi\)
0.771433 + 0.636311i \(0.219541\pi\)
\(158\) −7.68176 4.78831i −0.611128 0.380938i
\(159\) 5.41221 3.93220i 0.429216 0.311844i
\(160\) 11.8914 + 4.31204i 0.940101 + 0.340896i
\(161\) −3.85067 2.79768i −0.303475 0.220488i
\(162\) −4.27081 10.5371i −0.335547 0.827875i
\(163\) 1.45741 9.20172i 0.114153 0.720734i −0.862523 0.506017i \(-0.831117\pi\)
0.976676 0.214717i \(-0.0688829\pi\)
\(164\) 18.4058 9.02744i 1.43725 0.704925i
\(165\) −10.3202 16.6757i −0.803426 1.29820i
\(166\) 4.86252 + 2.05768i 0.377404 + 0.159707i
\(167\) 6.40658 19.7174i 0.495756 1.52578i −0.320020 0.947411i \(-0.603689\pi\)
0.815775 0.578369i \(-0.196311\pi\)
\(168\) −0.409087 7.34071i −0.0315618 0.566348i
\(169\) −4.43730 1.44177i −0.341331 0.110905i
\(170\) 3.32213 + 1.09126i 0.254796 + 0.0836958i
\(171\) −3.14004 1.59993i −0.240125 0.122350i
\(172\) 18.9915 13.3606i 1.44809 1.01873i
\(173\) 0.505798 0.0801105i 0.0384551 0.00609069i −0.137177 0.990547i \(-0.543803\pi\)
0.175632 + 0.984456i \(0.443803\pi\)
\(174\) 0.988361 3.98282i 0.0749274 0.301937i
\(175\) 0.855598 + 5.11031i 0.0646771 + 0.386303i
\(176\) −13.7405 2.60797i −1.03573 0.196583i
\(177\) −11.8861 + 16.3598i −0.893411 + 1.22967i
\(178\) −1.48911 20.9628i −0.111614 1.57123i
\(179\) 11.1453 21.8738i 0.833036 1.63493i 0.0620499 0.998073i \(-0.480236\pi\)
0.770986 0.636852i \(-0.219764\pi\)
\(180\) −14.2763 3.59158i −1.06409 0.267701i
\(181\) 6.64731 + 13.0461i 0.494090 + 0.969707i 0.994581 + 0.103965i \(0.0331530\pi\)
−0.500491 + 0.865742i \(0.666847\pi\)
\(182\) 3.17831 + 5.27640i 0.235592 + 0.391113i
\(183\) −0.383488 + 1.18025i −0.0283482 + 0.0872469i
\(184\) −1.31515 + 12.9243i −0.0969538 + 0.952791i
\(185\) 8.64561 + 10.0329i 0.635638 + 0.737634i
\(186\) −1.37146 + 15.8777i −0.100561 + 1.16421i
\(187\) −3.81867 0.604819i −0.279249 0.0442287i
\(188\) −0.744463 5.21360i −0.0542955 0.380241i
\(189\) 0.118636 + 0.749038i 0.00862949 + 0.0544845i
\(190\) 3.02146 1.52728i 0.219200 0.110800i
\(191\) 0.0727010 0.0528203i 0.00526046 0.00382195i −0.585152 0.810924i \(-0.698965\pi\)
0.590412 + 0.807102i \(0.298965\pi\)
\(192\) −16.7566 + 11.0403i −1.20930 + 0.796766i
\(193\) 19.4298i 1.39859i −0.714833 0.699295i \(-0.753497\pi\)
0.714833 0.699295i \(-0.246503\pi\)
\(194\) −1.27054 + 2.03830i −0.0912197 + 0.146341i
\(195\) 22.8983 5.60417i 1.63978 0.401323i
\(196\) −2.03235 + 11.6767i −0.145168 + 0.834048i
\(197\) −2.81241 + 5.51967i −0.200376 + 0.393260i −0.969227 0.246168i \(-0.920829\pi\)
0.768851 + 0.639428i \(0.220829\pi\)
\(198\) 16.2164 + 1.40072i 1.15245 + 0.0995447i
\(199\) 24.7604i 1.75522i 0.479377 + 0.877609i \(0.340863\pi\)
−0.479377 + 0.877609i \(0.659137\pi\)
\(200\) 10.8818 9.03247i 0.769463 0.638692i
\(201\) 27.4814i 1.93839i
\(202\) 1.94405 22.5066i 0.136783 1.58356i
\(203\) 0.544244 1.06814i 0.0381985 0.0749687i
\(204\) −4.53706 + 3.19183i −0.317658 + 0.223473i
\(205\) 1.69765 22.8572i 0.118569 1.59642i
\(206\) 3.12772 + 1.94962i 0.217918 + 0.135836i
\(207\) 15.1191i 1.05085i
\(208\) 8.08573 14.7401i 0.560644 1.02204i
\(209\) −3.02838 + 2.20025i −0.209477 + 0.152194i
\(210\) −7.31193 3.75531i −0.504571 0.259141i
\(211\) −2.17286 13.7189i −0.149586 0.944448i −0.942279 0.334828i \(-0.891322\pi\)
0.792694 0.609620i \(-0.208678\pi\)
\(212\) −4.26707 3.20073i −0.293064 0.219827i
\(213\) −29.5941 4.68724i −2.02775 0.321165i
\(214\) −17.3892 1.50202i −1.18870 0.102676i
\(215\) −2.15084 25.8718i −0.146686 1.76444i
\(216\) 1.60429 1.30795i 0.109158 0.0889945i
\(217\) −1.43868 + 4.42780i −0.0976639 + 0.300579i
\(218\) 21.8815 13.1806i 1.48200 0.892705i
\(219\) −17.2314 33.8185i −1.16439 2.28524i
\(220\) −10.2834 + 11.7793i −0.693310 + 0.794162i
\(221\) 2.10998 4.14107i 0.141933 0.278558i
\(222\) −20.9578 + 1.48876i −1.40659 + 0.0999187i
\(223\) −8.76971 + 12.0705i −0.587263 + 0.808299i −0.994468 0.105038i \(-0.966503\pi\)
0.407205 + 0.913337i \(0.366503\pi\)
\(224\) −5.49745 + 2.03534i −0.367314 + 0.135992i
\(225\) −11.5352 + 11.7402i −0.769010 + 0.782677i
\(226\) 14.4773 + 3.59263i 0.963015 + 0.238978i
\(227\) −8.77511 + 1.38984i −0.582424 + 0.0922469i −0.440692 0.897658i \(-0.645267\pi\)
−0.141732 + 0.989905i \(0.545267\pi\)
\(228\) −0.920959 + 5.29129i −0.0609920 + 0.350424i
\(229\) 8.15870 + 4.15707i 0.539142 + 0.274707i 0.702285 0.711896i \(-0.252163\pi\)
−0.163143 + 0.986602i \(0.552163\pi\)
\(230\) 11.7229 + 8.57501i 0.772988 + 0.565420i
\(231\) 8.64368 + 2.80850i 0.568713 + 0.184786i
\(232\) −3.26692 + 0.182061i −0.214484 + 0.0119529i
\(233\) 0.402118 1.23759i 0.0263436 0.0810774i −0.937020 0.349275i \(-0.886428\pi\)
0.963364 + 0.268197i \(0.0864280\pi\)
\(234\) −7.62525 + 18.0192i −0.498479 + 1.17795i
\(235\) −5.44977 2.22930i −0.355504 0.145424i
\(236\) 15.2568 + 5.21568i 0.993130 + 0.339512i
\(237\) 2.51156 15.8574i 0.163144 1.03005i
\(238\) −1.50188 + 0.608726i −0.0973522 + 0.0394579i
\(239\) 9.57899 + 6.95955i 0.619614 + 0.450176i 0.852786 0.522260i \(-0.174911\pi\)
−0.233173 + 0.972435i \(0.574911\pi\)
\(240\) 1.17623 + 22.4044i 0.0759253 + 1.44620i
\(241\) −13.0552 + 9.48519i −0.840962 + 0.610995i −0.922639 0.385664i \(-0.873972\pi\)
0.0816771 + 0.996659i \(0.473972\pi\)
\(242\) 0.916487 1.47029i 0.0589140 0.0945141i
\(243\) 15.8120 15.8120i 1.01434 1.01434i
\(244\) 0.989380 + 0.0150852i 0.0633385 + 0.000965728i
\(245\) 10.1141 + 8.56149i 0.646165 + 0.546974i
\(246\) 27.4682 + 23.8245i 1.75131 + 1.51900i
\(247\) −1.39051 4.27955i −0.0884759 0.272301i
\(248\) 12.4206 2.68309i 0.788708 0.170377i
\(249\) 9.36489i 0.593476i
\(250\) −2.56068 15.6027i −0.161952 0.986799i
\(251\) 3.23538 3.23538i 0.204215 0.204215i −0.597588 0.801803i \(-0.703874\pi\)
0.801803 + 0.597588i \(0.203874\pi\)
\(252\) 6.12533 3.00428i 0.385859 0.189252i
\(253\) −14.3089 7.29073i −0.899591 0.458364i
\(254\) 1.09742 + 15.4488i 0.0688582 + 0.969342i
\(255\) 0.513834 + 6.18076i 0.0321775 + 0.387054i
\(256\) 12.3470 + 10.1760i 0.771690 + 0.635999i
\(257\) 19.2298i 1.19952i 0.800179 + 0.599761i \(0.204738\pi\)
−0.800179 + 0.599761i \(0.795262\pi\)
\(258\) 34.9509 + 21.7861i 2.17595 + 1.35635i
\(259\) −6.06230 0.960174i −0.376693 0.0596623i
\(260\) −9.64687 16.1323i −0.598274 1.00048i
\(261\) 3.76109 0.595698i 0.232806 0.0368728i
\(262\) −2.33421 + 5.51596i −0.144208 + 0.340777i
\(263\) −19.2083 + 13.9556i −1.18443 + 0.860540i −0.992665 0.120900i \(-0.961422\pi\)
−0.191767 + 0.981440i \(0.561422\pi\)
\(264\) −5.23777 24.2467i −0.322363 1.49228i
\(265\) −5.49964 + 2.30645i −0.337840 + 0.141684i
\(266\) −0.611461 + 1.44494i −0.0374911 + 0.0885952i
\(267\) 33.2119 16.9223i 2.03254 1.03563i
\(268\) −20.9404 + 6.45271i −1.27914 + 0.394162i
\(269\) 21.6532 11.0329i 1.32022 0.672686i 0.355183 0.934797i \(-0.384418\pi\)
0.965038 + 0.262110i \(0.0844184\pi\)
\(270\) −0.354663 2.28687i −0.0215841 0.139175i
\(271\) −8.84406 27.2192i −0.537238 1.65345i −0.738762 0.673966i \(-0.764589\pi\)
0.201524 0.979484i \(-0.435411\pi\)
\(272\) 3.49744 + 2.70772i 0.212063 + 0.164179i
\(273\) −6.42170 + 8.83871i −0.388659 + 0.534943i
\(274\) −2.74714 + 11.0702i −0.165961 + 0.668775i
\(275\) 5.54853 + 16.5783i 0.334589 + 0.999711i
\(276\) −22.0199 + 6.78536i −1.32544 + 0.408431i
\(277\) 3.56263 + 22.4935i 0.214058 + 1.35151i 0.827366 + 0.561663i \(0.189838\pi\)
−0.613309 + 0.789843i \(0.710162\pi\)
\(278\) 9.15453 10.5546i 0.549052 0.633022i
\(279\) −14.0648 + 4.56994i −0.842040 + 0.273595i
\(280\) −1.14463 + 6.45334i −0.0684048 + 0.385661i
\(281\) −11.0237 3.58183i −0.657621 0.213674i −0.0388496 0.999245i \(-0.512369\pi\)
−0.618772 + 0.785571i \(0.712369\pi\)
\(282\) 8.00145 4.81978i 0.476479 0.287014i
\(283\) −2.81894 + 1.43632i −0.167568 + 0.0853803i −0.535763 0.844368i \(-0.679976\pi\)
0.368195 + 0.929749i \(0.379976\pi\)
\(284\) 3.37716 + 23.6508i 0.200398 + 1.40342i
\(285\) 4.58320 + 3.87965i 0.271485 + 0.229811i
\(286\) 13.3765 + 15.9059i 0.790972 + 0.940534i
\(287\) 6.24356 + 8.59352i 0.368545 + 0.507259i
\(288\) −15.4947 10.3274i −0.913035 0.608546i
\(289\) −12.7641 9.27364i −0.750828 0.545508i
\(290\) −1.67127 + 3.25411i −0.0981403 + 0.191088i
\(291\) −4.20764 0.666425i −0.246656 0.0390665i
\(292\) −21.7232 + 21.0707i −1.27126 + 1.23307i
\(293\) 3.89060 + 3.89060i 0.227291 + 0.227291i 0.811560 0.584269i \(-0.198619\pi\)
−0.584269 + 0.811560i \(0.698619\pi\)
\(294\) −20.4778 + 4.75149i −1.19429 + 0.277112i
\(295\) 13.6560 11.7677i 0.795082 0.685143i
\(296\) 6.05534 + 15.6199i 0.351960 + 0.907890i
\(297\) 0.790700 + 2.43352i 0.0458811 + 0.141207i
\(298\) 2.68789 31.1182i 0.155705 1.80263i
\(299\) 13.6505 13.6505i 0.789428 0.789428i
\(300\) 22.2757 + 11.5313i 1.28609 + 0.665758i
\(301\) 8.50753 + 8.50753i 0.490366 + 0.490366i
\(302\) −6.18361 7.35284i −0.355827 0.423109i
\(303\) 38.1068 12.3816i 2.18918 0.711306i
\(304\) 4.24813 0.540652i 0.243647 0.0310085i
\(305\) 0.573875 0.945803i 0.0328600 0.0541565i
\(306\) −4.36846 2.72302i −0.249728 0.155665i
\(307\) −13.4450 + 13.4450i −0.767344 + 0.767344i −0.977638 0.210294i \(-0.932558\pi\)
0.210294 + 0.977638i \(0.432558\pi\)
\(308\) 0.110477 7.24580i 0.00629503 0.412868i
\(309\) −1.02261 + 6.45652i −0.0581744 + 0.367299i
\(310\) 4.43366 13.4974i 0.251815 0.766602i
\(311\) −15.4462 + 21.2599i −0.875873 + 1.20554i 0.101673 + 0.994818i \(0.467580\pi\)
−0.977547 + 0.210718i \(0.932420\pi\)
\(312\) 29.6660 + 3.01874i 1.67951 + 0.170903i
\(313\) 1.41357 1.02702i 0.0798999 0.0580507i −0.547118 0.837055i \(-0.684275\pi\)
0.627018 + 0.779005i \(0.284275\pi\)
\(314\) 0.291398 3.37357i 0.0164445 0.190382i
\(315\) 0.564969 7.60674i 0.0318324 0.428591i
\(316\) −12.6728 + 1.80958i −0.712901 + 0.101797i
\(317\) 2.98784 + 5.86396i 0.167814 + 0.329353i 0.959563 0.281493i \(-0.0908295\pi\)
−0.791750 + 0.610846i \(0.790830\pi\)
\(318\) 2.27866 9.18238i 0.127781 0.514922i
\(319\) 1.24990 3.84679i 0.0699809 0.215379i
\(320\) 16.7956 6.15688i 0.938904 0.344180i
\(321\) −9.56635 29.4422i −0.533942 1.64330i
\(322\) −6.71430 + 0.476957i −0.374173 + 0.0265798i
\(323\) 1.16927 0.185193i 0.0650597 0.0103044i
\(324\) −14.2137 7.51739i −0.789653 0.417633i
\(325\) −21.0145 + 0.185092i −1.16567 + 0.0102671i
\(326\) −6.79830 11.2860i −0.376523 0.625075i
\(327\) 36.6546 + 26.6311i 2.02700 + 1.47271i
\(328\) 11.7043 26.5244i 0.646264 1.46456i
\(329\) 2.59524 0.843245i 0.143080 0.0464896i
\(330\) −26.3488 8.65513i −1.45046 0.476449i
\(331\) 4.25702 + 8.35488i 0.233987 + 0.459226i 0.977906 0.209044i \(-0.0670352\pi\)
−0.743919 + 0.668270i \(0.767035\pi\)
\(332\) 7.13590 2.19890i 0.391633 0.120680i
\(333\) −8.85138 17.3718i −0.485053 0.951970i
\(334\) −11.0133 27.1726i −0.602623 1.48682i
\(335\) −5.61409 + 23.8465i −0.306730 + 1.30287i
\(336\) −7.12454 7.57283i −0.388675 0.413132i
\(337\) 6.44343 + 8.86861i 0.350996 + 0.483104i 0.947613 0.319422i \(-0.103489\pi\)
−0.596617 + 0.802526i \(0.703489\pi\)
\(338\) −6.11505 + 2.47849i −0.332615 + 0.134812i
\(339\) 4.13873 + 26.1309i 0.224785 + 1.41924i
\(340\) 4.58899 1.84279i 0.248873 0.0999394i
\(341\) −2.45731 + 15.5148i −0.133071 + 0.840175i
\(342\) −4.85492 + 1.12649i −0.262524 + 0.0609137i
\(343\) −13.3952 −0.723271
\(344\) 8.39415 31.7475i 0.452582 1.71171i
\(345\) −5.90350 + 25.0758i −0.317834 + 1.35004i
\(346\) 0.474529 0.547102i 0.0255109 0.0294124i
\(347\) 3.13862 6.15988i 0.168490 0.330680i −0.791287 0.611445i \(-0.790588\pi\)
0.959776 + 0.280766i \(0.0905884\pi\)
\(348\) −2.55555 5.21043i −0.136992 0.279308i
\(349\) −2.37214 2.37214i −0.126978 0.126978i 0.640762 0.767740i \(-0.278619\pi\)
−0.767740 + 0.640762i \(0.778619\pi\)
\(350\) 5.57763 + 4.75233i 0.298137 + 0.254023i
\(351\) −3.07587 −0.164178
\(352\) −17.2458 + 9.68430i −0.919204 + 0.516175i
\(353\) 27.3419 8.88393i 1.45526 0.472844i 0.528644 0.848844i \(-0.322701\pi\)
0.926620 + 0.376000i \(0.122701\pi\)
\(354\) 2.02637 + 28.5260i 0.107701 + 1.51614i
\(355\) 24.7222 + 10.1129i 1.31212 + 0.536739i
\(356\) −20.6928 21.3336i −1.09672 1.13068i
\(357\) −2.03244 2.03244i −0.107568 0.107568i
\(358\) −7.84725 33.8198i −0.414740 1.78743i
\(359\) −18.2614 25.1346i −0.963799 1.32656i −0.945118 0.326730i \(-0.894053\pi\)
−0.0186807 0.999825i \(-0.505947\pi\)
\(360\) −18.7211 + 9.10746i −0.986689 + 0.480005i
\(361\) −10.4942 + 14.4440i −0.552327 + 0.760213i
\(362\) 19.0697 + 8.06977i 1.00228 + 0.424137i
\(363\) 3.03512 + 0.480715i 0.159302 + 0.0252310i
\(364\) 8.24279 + 2.81788i 0.432040 + 0.147697i
\(365\) 8.04356 + 32.8655i 0.421019 + 1.72026i
\(366\) 0.659241 + 1.62651i 0.0344591 + 0.0850189i
\(367\) 0.661052 + 0.214789i 0.0345066 + 0.0112119i 0.326219 0.945294i \(-0.394225\pi\)
−0.291713 + 0.956506i \(0.594225\pi\)
\(368\) 10.3407 + 15.1856i 0.539045 + 0.791606i
\(369\) −10.4266 + 32.0898i −0.542787 + 1.67053i
\(370\) 18.4898 + 2.98955i 0.961241 + 0.155419i
\(371\) 1.25475 2.46259i 0.0651435 0.127851i
\(372\) 12.9680 + 18.4335i 0.672361 + 0.955734i
\(373\) 0.0205712 + 0.129882i 0.00106514 + 0.00672502i 0.988215 0.153071i \(-0.0489163\pi\)
−0.987150 + 0.159796i \(0.948916\pi\)
\(374\) −4.68366 + 2.82126i −0.242186 + 0.145884i
\(375\) 23.7158 14.9676i 1.22468 0.772923i
\(376\) −5.55136 4.96528i −0.286290 0.256065i
\(377\) 3.93359 + 2.85792i 0.202590 + 0.147190i
\(378\) 0.810205 + 0.702732i 0.0416724 + 0.0361446i
\(379\) −6.79911 3.46432i −0.349247 0.177950i 0.270563 0.962702i \(-0.412790\pi\)
−0.619810 + 0.784752i \(0.712790\pi\)
\(380\) 1.88008 4.40328i 0.0964463 0.225884i
\(381\) −24.4759 + 12.4711i −1.25394 + 0.638913i
\(382\) 0.0306088 0.123345i 0.00156608 0.00631087i
\(383\) −20.9802 6.81689i −1.07204 0.348327i −0.280758 0.959779i \(-0.590586\pi\)
−0.791282 + 0.611452i \(0.790586\pi\)
\(384\) −8.08718 + 27.2019i −0.412697 + 1.38814i
\(385\) −6.92666 4.20281i −0.353015 0.214195i
\(386\) −17.6857 21.0298i −0.900178 1.07039i
\(387\) −5.97858 + 37.7472i −0.303908 + 1.91880i
\(388\) 0.480159 + 3.36264i 0.0243764 + 0.170712i
\(389\) −2.57620 + 0.408029i −0.130618 + 0.0206879i −0.221401 0.975183i \(-0.571063\pi\)
0.0907829 + 0.995871i \(0.471063\pi\)
\(390\) 19.6828 26.9085i 0.996678 1.36256i
\(391\) 2.98527 + 4.10887i 0.150972 + 0.207795i
\(392\) 8.42880 + 14.4881i 0.425719 + 0.731760i
\(393\) −10.6234 −0.535879
\(394\) 1.98019 + 8.53414i 0.0997603 + 0.429944i
\(395\) −5.41881 + 13.2469i −0.272650 + 0.666523i
\(396\) 18.8267 13.2447i 0.946079 0.665569i
\(397\) −17.3984 8.86493i −0.873201 0.444918i −0.0408489 0.999165i \(-0.513006\pi\)
−0.832352 + 0.554247i \(0.813006\pi\)
\(398\) 22.5378 + 26.7993i 1.12972 + 1.34333i
\(399\) −2.78287 −0.139318
\(400\) 3.55626 19.6813i 0.177813 0.984064i
\(401\) −11.8987 −0.594191 −0.297096 0.954848i \(-0.596018\pi\)
−0.297096 + 0.954848i \(0.596018\pi\)
\(402\) −25.0145 29.7444i −1.24761 1.48352i
\(403\) −16.8247 8.57260i −0.838097 0.427032i
\(404\) −18.3822 26.1295i −0.914547 1.29999i
\(405\) −15.2865 + 9.46043i −0.759593 + 0.470093i
\(406\) −0.383196 1.65149i −0.0190177 0.0819619i
\(407\) −20.7092 −1.02652
\(408\) −2.00536 + 7.58445i −0.0992799 + 0.375486i
\(409\) 17.0291 + 23.4386i 0.842035 + 1.15896i 0.985562 + 0.169316i \(0.0541557\pi\)
−0.143527 + 0.989646i \(0.545844\pi\)
\(410\) −18.9680 26.2847i −0.936761 1.29811i
\(411\) −19.9813 + 3.16472i −0.985603 + 0.156104i
\(412\) 5.15988 0.736792i 0.254209 0.0362992i
\(413\) −1.30691 + 8.25151i −0.0643089 + 0.406030i
\(414\) −13.7619 16.3641i −0.676361 0.804251i
\(415\) 1.91312 8.12621i 0.0939114 0.398900i
\(416\) −4.66541 23.3138i −0.228741 1.14305i
\(417\) 23.5680 + 7.65770i 1.15413 + 0.374999i
\(418\) −1.27502 + 5.13796i −0.0623631 + 0.251306i
\(419\) 12.7977 6.52077i 0.625210 0.318561i −0.112527 0.993649i \(-0.535894\pi\)
0.737737 + 0.675088i \(0.235894\pi\)
\(420\) −11.3323 + 2.59102i −0.552958 + 0.126429i
\(421\) 17.6875 + 9.01223i 0.862036 + 0.439229i 0.828355 0.560203i \(-0.189277\pi\)
0.0336809 + 0.999433i \(0.489277\pi\)
\(422\) −14.8392 12.8708i −0.722361 0.626540i
\(423\) 7.01255 + 5.09491i 0.340962 + 0.247723i
\(424\) −7.53186 + 0.419740i −0.365780 + 0.0203844i
\(425\) 0.816777 5.46821i 0.0396195 0.265247i
\(426\) −36.2975 + 21.8643i −1.75862 + 1.05933i
\(427\) 0.0802041 + 0.506389i 0.00388135 + 0.0245059i
\(428\) −20.1883 + 14.2025i −0.975838 + 0.686505i
\(429\) −16.7349 + 32.8441i −0.807970 + 1.58573i
\(430\) −25.8774 26.0445i −1.24792 1.25598i
\(431\) 4.20281 12.9349i 0.202442 0.623053i −0.797366 0.603495i \(-0.793774\pi\)
0.999809 0.0195578i \(-0.00622584\pi\)
\(432\) 0.545859 2.87593i 0.0262626 0.138368i
\(433\) 22.6282 + 7.35234i 1.08744 + 0.353331i 0.797257 0.603640i \(-0.206284\pi\)
0.290184 + 0.956971i \(0.406284\pi\)
\(434\) 2.47318 + 6.10195i 0.118717 + 0.292903i
\(435\) −6.47057 0.480583i −0.310240 0.0230422i
\(436\) 11.6859 34.1833i 0.559654 1.63708i
\(437\) 4.85674 + 0.769232i 0.232329 + 0.0367973i
\(438\) −49.4331 20.9188i −2.36201 0.999537i
\(439\) −4.71375 + 6.48792i −0.224975 + 0.309652i −0.906551 0.422095i \(-0.861295\pi\)
0.681576 + 0.731747i \(0.261295\pi\)
\(440\) −0.408302 + 22.1097i −0.0194650 + 1.05404i
\(441\) −11.4661 15.7817i −0.546005 0.751511i
\(442\) −1.48561 6.40265i −0.0706634 0.304543i
\(443\) −10.4253 10.4253i −0.495319 0.495319i 0.414658 0.909977i \(-0.363901\pi\)
−0.909977 + 0.414658i \(0.863901\pi\)
\(444\) −21.3284 + 20.6878i −1.01220 + 0.981800i
\(445\) −32.2760 + 7.89928i −1.53003 + 0.374462i
\(446\) 1.49509 + 21.0469i 0.0707945 + 0.996601i
\(447\) 52.6873 17.1191i 2.49202 0.809708i
\(448\) −4.09752 + 7.20691i −0.193590 + 0.340494i
\(449\) −10.4502 −0.493176 −0.246588 0.969120i \(-0.579309\pi\)
−0.246588 + 0.969120i \(0.579309\pi\)
\(450\) −1.79874 + 23.2066i −0.0847934 + 1.09397i
\(451\) 25.3422 + 25.3422i 1.19332 + 1.19332i
\(452\) 18.9396 9.28926i 0.890843 0.436930i
\(453\) 7.73609 15.1829i 0.363473 0.713356i
\(454\) −8.23262 + 9.49169i −0.386376 + 0.445467i
\(455\) 7.37794 6.35776i 0.345883 0.298056i
\(456\) 3.81952 + 6.56530i 0.178865 + 0.307448i
\(457\) −33.6162 −1.57250 −0.786250 0.617909i \(-0.787980\pi\)
−0.786250 + 0.617909i \(0.787980\pi\)
\(458\) 12.6144 2.92694i 0.589434 0.136767i
\(459\) 0.126591 0.799263i 0.00590876 0.0373064i
\(460\) 20.4936 1.38949i 0.955517 0.0647853i
\(461\) −1.12309 7.09091i −0.0523075 0.330257i −0.999941 0.0108957i \(-0.996532\pi\)
0.947633 0.319361i \(-0.103468\pi\)
\(462\) 11.9119 4.82800i 0.554190 0.224619i
\(463\) −7.25733 9.98886i −0.337277 0.464222i 0.606367 0.795185i \(-0.292626\pi\)
−0.943644 + 0.330963i \(0.892626\pi\)
\(464\) −3.37022 + 3.17071i −0.156458 + 0.147197i
\(465\) 25.1117 2.08765i 1.16453 0.0968123i
\(466\) −0.691268 1.70553i −0.0320224 0.0790069i
\(467\) −2.68182 5.26337i −0.124100 0.243560i 0.820595 0.571510i \(-0.193642\pi\)
−0.944695 + 0.327950i \(0.893642\pi\)
\(468\) 8.14856 + 26.4438i 0.376667 + 1.22237i
\(469\) −5.15443 10.1161i −0.238010 0.467120i
\(470\) −7.92773 + 2.54769i −0.365679 + 0.117516i
\(471\) 5.71191 1.85591i 0.263191 0.0855159i
\(472\) 21.2606 8.24205i 0.978598 0.379371i
\(473\) 32.8414 + 23.8607i 1.51005 + 1.09711i
\(474\) −11.7156 19.4493i −0.538113 0.893336i
\(475\) −3.18443 4.30278i −0.146112 0.197425i
\(476\) −1.07147 + 2.02591i −0.0491106 + 0.0928575i
\(477\) 8.67118 1.37338i 0.397026 0.0628827i
\(478\) 16.7026 1.18649i 0.763959 0.0542686i
\(479\) 10.6042 + 32.6363i 0.484517 + 1.49119i 0.832680 + 0.553755i \(0.186806\pi\)
−0.348163 + 0.937434i \(0.613194\pi\)
\(480\) 21.6663 + 23.1787i 0.988928 + 1.05796i
\(481\) 7.69280 23.6760i 0.350761 1.07953i
\(482\) −5.49655 + 22.1496i −0.250361 + 1.00889i
\(483\) −5.42015 10.6376i −0.246625 0.484030i
\(484\) −0.346355 2.42558i −0.0157434 0.110254i
\(485\) 3.51496 + 1.43784i 0.159606 + 0.0652891i
\(486\) 2.72144 31.5067i 0.123447 1.42917i
\(487\) −11.7946 + 8.56928i −0.534464 + 0.388311i −0.822025 0.569451i \(-0.807156\pi\)
0.287561 + 0.957762i \(0.407156\pi\)
\(488\) 1.08458 0.884240i 0.0490967 0.0400277i
\(489\) 13.7358 18.9057i 0.621154 0.854945i
\(490\) 18.7399 + 0.0603265i 0.846582 + 0.00272527i
\(491\) −3.80477 + 24.0224i −0.171707 + 1.08411i 0.739799 + 0.672828i \(0.234921\pi\)
−0.911506 + 0.411287i \(0.865079\pi\)
\(492\) 51.4160 + 0.783944i 2.31801 + 0.0353429i
\(493\) −0.904520 + 0.904520i −0.0407375 + 0.0407375i
\(494\) −5.40040 3.36626i −0.242976 0.151455i
\(495\) −2.13218 25.6474i −0.0958343 1.15276i
\(496\) 11.0011 14.2097i 0.493966 0.638034i
\(497\) −11.7730 + 3.82527i −0.528090 + 0.171587i
\(498\) 8.52424 + 10.1361i 0.381980 + 0.454207i
\(499\) −14.2260 14.2260i −0.636844 0.636844i 0.312932 0.949776i \(-0.398689\pi\)
−0.949776 + 0.312932i \(0.898689\pi\)
\(500\) −16.9736 14.5567i −0.759083 0.650994i
\(501\) 36.7718 36.7718i 1.64284 1.64284i
\(502\) 0.556849 6.44676i 0.0248534 0.287733i
\(503\) 6.95382 + 21.4017i 0.310056 + 0.954253i 0.977742 + 0.209811i \(0.0672848\pi\)
−0.667686 + 0.744443i \(0.732715\pi\)
\(504\) 3.89513 8.82715i 0.173503 0.393193i
\(505\) −35.5958 + 2.95924i −1.58399 + 0.131684i
\(506\) −22.1234 + 5.13332i −0.983506 + 0.228204i
\(507\) −8.27530 8.27530i −0.367519 0.367519i
\(508\) 15.2498 + 15.7220i 0.676600 + 0.697552i
\(509\) −5.89612 0.933854i −0.261341 0.0413923i 0.0243889 0.999703i \(-0.492236\pi\)
−0.285730 + 0.958310i \(0.592236\pi\)
\(510\) 6.18208 + 6.22202i 0.273747 + 0.275515i
\(511\) −12.6860 9.21695i −0.561197 0.407734i
\(512\) 22.6263 0.224760i 0.999951 0.00993310i
\(513\) −0.460520 0.633851i −0.0203324 0.0279852i
\(514\) 17.5036 + 20.8133i 0.772052 + 0.918036i
\(515\) 2.20633 5.39362i 0.0972226 0.237671i
\(516\) 57.6595 8.23334i 2.53832 0.362453i
\(517\) 8.20347 4.17988i 0.360788 0.183831i
\(518\) −7.43549 + 4.47887i −0.326697 + 0.196790i
\(519\) 1.22166 + 0.396940i 0.0536248 + 0.0174238i
\(520\) −25.1254 8.67982i −1.10182 0.380635i
\(521\) 22.6473 7.35856i 0.992197 0.322384i 0.232453 0.972608i \(-0.425325\pi\)
0.759743 + 0.650223i \(0.225325\pi\)
\(522\) 3.52858 4.06823i 0.154442 0.178061i
\(523\) 5.52456 + 34.8807i 0.241572 + 1.52523i 0.748440 + 0.663202i \(0.230803\pi\)
−0.506868 + 0.862024i \(0.669197\pi\)
\(524\) 2.49440 + 8.09485i 0.108968 + 0.353625i
\(525\) −3.90721 + 12.3956i −0.170525 + 0.540988i
\(526\) −8.08711 + 32.5888i −0.352615 + 1.42094i
\(527\) 2.92002 4.01907i 0.127198 0.175073i
\(528\) −27.7393 21.4758i −1.20720 0.934613i
\(529\) −0.588422 1.81098i −0.0255836 0.0787381i
\(530\) −3.85310 + 7.50234i −0.167368 + 0.325881i
\(531\) −23.6451 + 12.0478i −1.02611 + 0.522830i
\(532\) 0.653425 + 2.12050i 0.0283296 + 0.0919355i
\(533\) −38.3865 + 19.5589i −1.66270 + 0.847190i
\(534\) 20.5435 48.5465i 0.889006 2.10081i
\(535\) 2.28638 + 27.5022i 0.0988487 + 1.18902i
\(536\) −16.7913 + 26.0448i −0.725275 + 1.12496i
\(537\) 49.8181 36.1950i 2.14981 1.56193i
\(538\) 13.3938 31.6509i 0.577448 1.36457i
\(539\) −20.4652 + 3.24137i −0.881498 + 0.139616i
\(540\) −2.46546 2.15236i −0.106096 0.0926230i
\(541\) −7.65476 1.21239i −0.329104 0.0521249i −0.0103037 0.999947i \(-0.503280\pi\)
−0.318800 + 0.947822i \(0.603280\pi\)
\(542\) −34.3482 21.4105i −1.47538 0.919658i
\(543\) 36.7269i 1.57610i
\(544\) 6.25010 0.252798i 0.267971 0.0108386i
\(545\) −26.3660 30.5967i −1.12939 1.31062i
\(546\) 1.09479 + 15.4118i 0.0468528 + 0.659564i
\(547\) 0.384190 + 0.195754i 0.0164268 + 0.00836985i 0.462185 0.886784i \(-0.347066\pi\)
−0.445758 + 0.895154i \(0.647066\pi\)
\(548\) 7.10312 + 14.4823i 0.303430 + 0.618655i
\(549\) −1.15158 + 1.15158i −0.0491484 + 0.0491484i
\(550\) 21.0956 + 12.8930i 0.899519 + 0.549761i
\(551\) 1.23849i 0.0527615i
\(552\) −17.6569 + 27.3874i −0.751529 + 1.16569i
\(553\) −2.04969 6.30831i −0.0871618 0.268256i
\(554\) 24.3304 + 21.1030i 1.03370 + 0.896580i
\(555\) 7.89738 + 32.2683i 0.335225 + 1.36971i
\(556\) 0.301229 19.7565i 0.0127749 0.837861i
\(557\) −16.3092 + 16.3092i −0.691041 + 0.691041i −0.962461 0.271420i \(-0.912507\pi\)
0.271420 + 0.962461i \(0.412507\pi\)
\(558\) −11.0633 + 17.7486i −0.468347 + 0.751356i
\(559\) −39.4785 + 28.6828i −1.66976 + 1.21315i
\(560\) 4.63516 + 8.02663i 0.195871 + 0.339187i
\(561\) −7.84578 5.70029i −0.331249 0.240667i
\(562\) −15.1918 + 6.15740i −0.640828 + 0.259734i
\(563\) −1.56012 + 9.85020i −0.0657512 + 0.415137i 0.932756 + 0.360509i \(0.117397\pi\)
−0.998507 + 0.0546273i \(0.982603\pi\)
\(564\) 4.27321 12.4999i 0.179935 0.526339i
\(565\) 1.74689 23.5201i 0.0734922 0.989498i
\(566\) −1.74368 + 4.12049i −0.0732923 + 0.173197i
\(567\) 2.57453 7.92359i 0.108120 0.332760i
\(568\) 25.1830 + 22.5244i 1.05666 + 0.945101i
\(569\) 24.7140 + 8.03007i 1.03607 + 0.336638i 0.777186 0.629271i \(-0.216647\pi\)
0.258880 + 0.965910i \(0.416647\pi\)
\(570\) 8.49200 + 0.0273370i 0.355691 + 0.00114502i
\(571\) −5.95755 3.03552i −0.249316 0.127033i 0.324868 0.945760i \(-0.394680\pi\)
−0.574183 + 0.818727i \(0.694680\pi\)
\(572\) 28.9561 + 5.03987i 1.21072 + 0.210727i
\(573\) 0.222632 0.0352615i 0.00930060 0.00147307i
\(574\) 14.5798 + 3.61807i 0.608549 + 0.151015i
\(575\) 10.2453 20.5531i 0.427259 0.857123i
\(576\) −26.1710 + 2.92603i −1.09046 + 0.121918i
\(577\) 26.0279 35.8243i 1.08355 1.49138i 0.228007 0.973660i \(-0.426779\pi\)
0.855547 0.517725i \(-0.173221\pi\)
\(578\) −22.2563 + 1.58100i −0.925741 + 0.0657610i
\(579\) 22.1259 43.4246i 0.919522 1.80466i
\(580\) 1.15311 + 5.04332i 0.0478803 + 0.209412i
\(581\) 1.75648 + 3.44729i 0.0728712 + 0.143018i
\(582\) −5.16073 + 3.10864i −0.213919 + 0.128857i
\(583\) 2.88164 8.86877i 0.119345 0.367307i
\(584\) −4.33275 + 42.5790i −0.179290 + 1.76193i
\(585\) 30.1137 + 7.08954i 1.24505 + 0.293116i
\(586\) 7.75234 + 0.669621i 0.320246 + 0.0276618i
\(587\) −33.3507 5.28224i −1.37653 0.218021i −0.576068 0.817402i \(-0.695414\pi\)
−0.800464 + 0.599381i \(0.795414\pi\)
\(588\) −17.8391 + 23.7823i −0.735673 + 0.980767i
\(589\) −0.752419 4.75059i −0.0310029 0.195745i
\(590\) 4.06913 25.1669i 0.167524 1.03610i
\(591\) −12.5712 + 9.13349i −0.517109 + 0.375701i
\(592\) 20.7718 + 11.3944i 0.853715 + 0.468307i
\(593\) 47.8045i 1.96310i −0.191213 0.981549i \(-0.561242\pi\)
0.191213 0.981549i \(-0.438758\pi\)
\(594\) 3.07089 + 1.91419i 0.126000 + 0.0785403i
\(595\) 1.34841 + 2.17881i 0.0552795 + 0.0893227i
\(596\) −25.4156 36.1273i −1.04106 1.47983i
\(597\) −28.1962 + 55.3381i −1.15399 + 2.26484i
\(598\) 2.34942 27.1997i 0.0960748 1.11228i
\(599\) 27.2776i 1.11453i −0.830334 0.557266i \(-0.811851\pi\)
0.830334 0.557266i \(-0.188149\pi\)
\(600\) 34.6061 7.79525i 1.41279 0.318240i
\(601\) 2.92776i 0.119426i −0.998216 0.0597128i \(-0.980982\pi\)
0.998216 0.0597128i \(-0.0190185\pi\)
\(602\) 16.9519 + 1.46425i 0.690909 + 0.0596784i
\(603\) 16.3730 32.1338i 0.666759 1.30859i
\(604\) −13.3856 2.32979i −0.544653 0.0947979i
\(605\) −2.53546 1.03717i −0.103081 0.0421668i
\(606\) 29.9745 48.0873i 1.21763 1.95341i
\(607\) 23.1317i 0.938887i −0.882962 0.469444i \(-0.844454\pi\)
0.882962 0.469444i \(-0.155546\pi\)
\(608\) 4.10582 4.45196i 0.166513 0.180551i
\(609\) 2.43271 1.76747i 0.0985784 0.0716214i
\(610\) −0.239770 1.54605i −0.00970802 0.0625976i
\(611\) 1.73136 + 10.9314i 0.0700434 + 0.442237i
\(612\) −7.20678 + 1.02907i −0.291317 + 0.0415978i
\(613\) 13.4874 + 2.13619i 0.544750 + 0.0862799i 0.422743 0.906249i \(-0.361067\pi\)
0.122006 + 0.992529i \(0.461067\pi\)
\(614\) −2.31404 + 26.7901i −0.0933872 + 1.08116i
\(615\) 29.8231 49.1514i 1.20258 1.98197i
\(616\) −6.47580 7.94302i −0.260917 0.320034i
\(617\) −2.62622 + 8.08267i −0.105728 + 0.325396i −0.989901 0.141764i \(-0.954723\pi\)
0.884173 + 0.467160i \(0.154723\pi\)
\(618\) 4.77012 + 7.91901i 0.191882 + 0.318549i
\(619\) 10.5103 + 20.6277i 0.422445 + 0.829096i 0.999920 + 0.0126867i \(0.00403841\pi\)
−0.577474 + 0.816409i \(0.695962\pi\)
\(620\) −7.48705 18.6446i −0.300687 0.748783i
\(621\) 1.52598 2.99490i 0.0612354 0.120181i
\(622\) 2.63332 + 37.0702i 0.105586 + 1.48638i
\(623\) 9.05163 12.4585i 0.362646 0.499139i
\(624\) 34.8566 23.7357i 1.39538 0.950187i
\(625\) −23.6366 + 8.14303i −0.945466 + 0.325721i
\(626\) 0.595147 2.39828i 0.0237869 0.0958544i
\(627\) −9.27381 + 1.46883i −0.370360 + 0.0586593i
\(628\) −2.75535 3.91661i −0.109950 0.156290i
\(629\) 5.83559 + 2.97338i 0.232680 + 0.118556i
\(630\) −6.31242 8.74738i −0.251493 0.348504i
\(631\) 42.7723 + 13.8976i 1.70274 + 0.553253i 0.989098 0.147261i \(-0.0470456\pi\)
0.713639 + 0.700513i \(0.247046\pi\)
\(632\) −12.0692 + 13.4938i −0.480088 + 0.536755i
\(633\) 10.7663 33.1353i 0.427923 1.31701i
\(634\) 8.57146 + 3.62721i 0.340416 + 0.144055i
\(635\) 23.7862 5.82146i 0.943926 0.231018i
\(636\) −5.89181 12.0126i −0.233625 0.476332i
\(637\) 3.89643 24.6011i 0.154382 0.974731i
\(638\) −2.14866 5.30126i −0.0850662 0.209879i
\(639\) −31.8115 23.1124i −1.25844 0.914313i
\(640\) 12.5745 21.9518i 0.497050 0.867722i
\(641\) 18.3873 13.3592i 0.726256 0.527656i −0.162121 0.986771i \(-0.551833\pi\)
0.888377 + 0.459115i \(0.151833\pi\)
\(642\) −37.1534 23.1590i −1.46633 0.914015i
\(643\) 22.5546 22.5546i 0.889466 0.889466i −0.105006 0.994472i \(-0.533486\pi\)
0.994472 + 0.105006i \(0.0334862\pi\)
\(644\) −6.83306 + 6.62782i −0.269260 + 0.261173i
\(645\) 24.6548 60.2714i 0.970783 2.37318i
\(646\) 1.09698 1.26475i 0.0431601 0.0497609i
\(647\) 11.6064 + 35.7207i 0.456293 + 1.40433i 0.869610 + 0.493739i \(0.164370\pi\)
−0.413316 + 0.910587i \(0.635630\pi\)
\(648\) −22.2268 + 4.80142i −0.873150 + 0.188618i
\(649\) 28.1877i 1.10646i
\(650\) −22.5764 + 19.3284i −0.885521 + 0.758122i
\(651\) −8.25757 + 8.25757i −0.323640 + 0.323640i
\(652\) −17.6310 6.02735i −0.690485 0.236049i
\(653\) 27.4240 + 13.9732i 1.07318 + 0.546814i 0.899022 0.437903i \(-0.144279\pi\)
0.174161 + 0.984717i \(0.444279\pi\)
\(654\) 63.9136 4.54016i 2.49922 0.177534i
\(655\) 9.21824 + 2.17021i 0.360187 + 0.0847973i
\(656\) −11.4753 39.3623i −0.448033 1.53684i
\(657\) 49.8099i 1.94327i
\(658\) 2.04140 3.27496i 0.0795820 0.127671i
\(659\) −34.2561 5.42563i −1.33443 0.211352i −0.551869 0.833931i \(-0.686085\pi\)
−0.782558 + 0.622578i \(0.786085\pi\)
\(660\) −36.3968 + 14.6158i −1.41674 + 0.568918i
\(661\) 23.2786 3.68697i 0.905434 0.143407i 0.313683 0.949528i \(-0.398437\pi\)
0.591751 + 0.806121i \(0.298437\pi\)
\(662\) 12.2125 + 5.16799i 0.474651 + 0.200860i
\(663\) 9.43138 6.85230i 0.366284 0.266121i
\(664\) 5.72200 8.87531i 0.222057 0.344429i
\(665\) 2.41478 + 0.568503i 0.0936413 + 0.0220456i
\(666\) −25.3927 10.7455i −0.983947 0.416380i
\(667\) −4.73419 + 2.41219i −0.183309 + 0.0934004i
\(668\) −36.6536 19.3854i −1.41817 0.750044i
\(669\) −33.3452 + 16.9902i −1.28920 + 0.656880i
\(670\) 15.6295 + 30.9203i 0.603821 + 1.19456i
\(671\) 0.534554 + 1.64519i 0.0206362 + 0.0635118i
\(672\) −14.6043 1.71142i −0.563372 0.0660196i
\(673\) −14.8782 + 20.4781i −0.573513 + 0.789373i −0.992965 0.118404i \(-0.962222\pi\)
0.419452 + 0.907777i \(0.362222\pi\)
\(674\) 15.0465 + 3.73389i 0.579571 + 0.143824i
\(675\) −3.46991 + 1.16133i −0.133557 + 0.0446995i
\(676\) −4.36259 + 8.24871i −0.167792 + 0.317258i
\(677\) 1.03174 + 6.51412i 0.0396528 + 0.250358i 0.999550 0.0299940i \(-0.00954882\pi\)
−0.959897 + 0.280352i \(0.909549\pi\)
\(678\) 28.2648 + 24.5155i 1.08550 + 0.941512i
\(679\) −1.67386 + 0.543871i −0.0642369 + 0.0208718i
\(680\) 3.28951 6.17160i 0.126147 0.236670i
\(681\) −21.1946 6.88653i −0.812178 0.263893i
\(682\) 11.4625 + 19.0292i 0.438921 + 0.728664i
\(683\) −7.30411 + 3.72163i −0.279484 + 0.142404i −0.588114 0.808778i \(-0.700129\pi\)
0.308630 + 0.951182i \(0.400129\pi\)
\(684\) −4.22933 + 5.63837i −0.161713 + 0.215588i
\(685\) 17.9849 + 1.33578i 0.687167 + 0.0510374i
\(686\) −14.4982 + 12.1927i −0.553544 + 0.465521i
\(687\) 13.5003 + 18.5816i 0.515070 + 0.708933i
\(688\) −19.8123 42.0024i −0.755336 1.60133i
\(689\) 9.06887 + 6.58892i 0.345497 + 0.251018i
\(690\) 16.4352 + 32.5143i 0.625679 + 1.23780i
\(691\) −10.3886 1.64540i −0.395202 0.0625939i −0.0443293 0.999017i \(-0.514115\pi\)
−0.350873 + 0.936423i \(0.614115\pi\)
\(692\) 0.0156143 1.02409i 0.000593568 0.0389299i
\(693\) 8.43372 + 8.43372i 0.320370 + 0.320370i
\(694\) −2.20986 9.52400i −0.0838853 0.361526i
\(695\) −18.8863 11.4594i −0.716398 0.434682i
\(696\) −7.50870 3.31334i −0.284617 0.125592i
\(697\) −3.50253 10.7797i −0.132668 0.408309i
\(698\) −4.72667 0.408274i −0.178907 0.0154534i
\(699\) 2.30803 2.30803i 0.0872979 0.0872979i
\(700\) 10.3627 + 0.0667186i 0.391672 + 0.00252173i
\(701\) −1.43526 1.43526i −0.0542092 0.0542092i 0.679483 0.733692i \(-0.262204\pi\)
−0.733692 + 0.679483i \(0.762204\pi\)
\(702\) −3.32916 + 2.79976i −0.125651 + 0.105670i
\(703\) 6.03073 1.95950i 0.227453 0.0739040i
\(704\) −9.85095 + 26.1795i −0.371272 + 0.986676i
\(705\) −9.64129 11.1884i −0.363112 0.421378i
\(706\) 21.5070 34.5030i 0.809426 1.29854i
\(707\) 11.7051 11.7051i 0.440216 0.440216i
\(708\) 28.1586 + 29.0306i 1.05826 + 1.09104i
\(709\) −5.81147 + 36.6922i −0.218254 + 1.37800i 0.598548 + 0.801087i \(0.295745\pi\)
−0.816802 + 0.576918i \(0.804255\pi\)
\(710\) 35.9631 11.5573i 1.34967 0.433736i
\(711\) 12.3843 17.0455i 0.464448 0.639258i
\(712\) −41.8153 4.25503i −1.56710 0.159464i
\(713\) 16.6939 12.1288i 0.625190 0.454227i
\(714\) −4.04980 0.349808i −0.151560 0.0130912i
\(715\) 21.2310 25.0812i 0.793996 0.937982i
\(716\) −39.2774 29.4619i −1.46787 1.10104i
\(717\) 13.4833 + 26.4624i 0.503541 + 0.988256i
\(718\) −42.6435 10.5822i −1.59144 0.394926i
\(719\) 7.88538 24.2687i 0.294075 0.905070i −0.689456 0.724328i \(-0.742150\pi\)
0.983531 0.180742i \(-0.0578498\pi\)
\(720\) −11.9728 + 26.8980i −0.446200 + 1.00243i
\(721\) 0.834556 + 2.56850i 0.0310805 + 0.0956559i
\(722\) 1.78909 + 25.1856i 0.0665829 + 0.937313i
\(723\) −39.9791 + 6.33207i −1.48684 + 0.235492i
\(724\) 27.9854 8.62358i 1.04007 0.320493i
\(725\) 5.51654 + 1.73887i 0.204879 + 0.0645800i
\(726\) 3.72261 2.24237i 0.138159 0.0832220i
\(727\) −18.4169 13.3807i −0.683045 0.496261i 0.191322 0.981527i \(-0.438723\pi\)
−0.874366 + 0.485266i \(0.838723\pi\)
\(728\) 11.4865 4.45294i 0.425718 0.165037i
\(729\) 30.4066 9.87970i 1.12617 0.365915i
\(730\) 38.6212 + 28.2504i 1.42944 + 1.04559i
\(731\) −5.82843 11.4389i −0.215572 0.423084i
\(732\) 2.19403 + 1.16038i 0.0810937 + 0.0428889i
\(733\) 7.43984 + 14.6015i 0.274797 + 0.539319i 0.986619 0.163040i \(-0.0521301\pi\)
−0.711823 + 0.702359i \(0.752130\pi\)
\(734\) 0.910996 0.369236i 0.0336255 0.0136288i
\(735\) 12.8549 + 30.6520i 0.474160 + 1.13062i
\(736\) 25.0147 + 7.02369i 0.922053 + 0.258896i
\(737\) −22.5164 30.9911i −0.829401 1.14157i
\(738\) 17.9240 + 44.2229i 0.659792 + 1.62787i
\(739\) 2.81262 + 17.7582i 0.103464 + 0.653246i 0.983851 + 0.178990i \(0.0572830\pi\)
−0.880387 + 0.474256i \(0.842717\pi\)
\(740\) 22.7336 13.5944i 0.835704 0.499738i
\(741\) 1.76567 11.1480i 0.0648635 0.409532i
\(742\) −0.883457 3.80750i −0.0324327 0.139778i
\(743\) −20.6998 −0.759402 −0.379701 0.925109i \(-0.623973\pi\)
−0.379701 + 0.925109i \(0.623973\pi\)
\(744\) 30.8147 + 8.14752i 1.12972 + 0.298703i
\(745\) −49.2156 + 4.09151i −1.80312 + 0.149901i
\(746\) 0.140488 + 0.121852i 0.00514363 + 0.00446133i
\(747\) −5.57944 + 10.9503i −0.204141 + 0.400650i
\(748\) −2.50133 + 7.31681i −0.0914576 + 0.267529i
\(749\) −9.04365 9.04365i −0.330448 0.330448i
\(750\) 12.0447 37.7871i 0.439811 1.37979i
\(751\) 38.8064 1.41607 0.708033 0.706179i \(-0.249583\pi\)
0.708033 + 0.706179i \(0.249583\pi\)
\(752\) −10.5281 0.321119i −0.383919 0.0117100i
\(753\) 10.9152 3.54657i 0.397773 0.129244i
\(754\) 6.85888 0.487228i 0.249786 0.0177438i
\(755\) −9.81452 + 11.5943i −0.357187 + 0.421961i
\(756\) 1.51657 + 0.0231233i 0.0551572 + 0.000840987i
\(757\) 30.5492 + 30.5492i 1.11033 + 1.11033i 0.993105 + 0.117225i \(0.0374000\pi\)
0.117225 + 0.993105i \(0.462600\pi\)
\(758\) −10.5123 + 2.43919i −0.381825 + 0.0885952i
\(759\) −23.6771 32.5888i −0.859425 1.18290i
\(760\) −1.97311 6.47719i −0.0715723 0.234952i
\(761\) −13.1396 + 18.0852i −0.476312 + 0.655587i −0.977791 0.209583i \(-0.932789\pi\)
0.501479 + 0.865170i \(0.332789\pi\)
\(762\) −15.1398 + 35.7768i −0.548457 + 1.29606i
\(763\) 18.4878 + 2.92818i 0.669304 + 0.106007i
\(764\) −0.0791434 0.161363i −0.00286331 0.00583791i
\(765\) −3.08157 + 7.53324i −0.111415 + 0.272365i
\(766\) −28.9128 + 11.7187i −1.04466 + 0.423413i
\(767\) −32.2259 10.4708i −1.16361 0.378079i
\(768\) 16.0069 + 36.8031i 0.577601 + 1.32802i
\(769\) −6.47140 + 19.9169i −0.233365 + 0.718222i 0.763970 + 0.645252i \(0.223248\pi\)
−0.997334 + 0.0729700i \(0.976752\pi\)
\(770\) −11.3226 + 1.75598i −0.408038 + 0.0632810i
\(771\) −21.8982 + 42.9775i −0.788643 + 1.54780i
\(772\) −38.2841 6.66342i −1.37787 0.239822i
\(773\) −1.46099 9.22435i −0.0525483 0.331777i −0.999932 0.0116763i \(-0.996283\pi\