Properties

Label 225.2.q.a.31.27
Level $225$
Weight $2$
Character 225.31
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 31.27
Character \(\chi\) \(=\) 225.31
Dual form 225.2.q.a.196.27

$q$-expansion

\(f(q)\) \(=\) \(q+(1.69452 - 1.88195i) q^{2} +(-1.49464 + 0.875245i) q^{3} +(-0.461298 - 4.38896i) q^{4} +(-2.12223 - 0.704374i) q^{5} +(-0.885523 + 4.29596i) q^{6} +(-1.03406 - 1.79105i) q^{7} +(-4.94396 - 3.59200i) q^{8} +(1.46789 - 2.61635i) q^{9} +O(q^{10})\) \(q+(1.69452 - 1.88195i) q^{2} +(-1.49464 + 0.875245i) q^{3} +(-0.461298 - 4.38896i) q^{4} +(-2.12223 - 0.704374i) q^{5} +(-0.885523 + 4.29596i) q^{6} +(-1.03406 - 1.79105i) q^{7} +(-4.94396 - 3.59200i) q^{8} +(1.46789 - 2.61635i) q^{9} +(-4.92175 + 2.80036i) q^{10} +(1.63896 - 1.82025i) q^{11} +(4.53089 + 6.15617i) q^{12} +(-1.19441 - 1.32652i) q^{13} +(-5.12291 - 1.08891i) q^{14} +(3.78847 - 0.804686i) q^{15} +(-6.50420 + 1.38251i) q^{16} +(3.67466 + 2.66979i) q^{17} +(-2.43648 - 7.19596i) q^{18} +(5.85004 + 4.25031i) q^{19} +(-2.11249 + 9.63931i) q^{20} +(3.11316 + 1.77192i) q^{21} +(-0.648378 - 6.16890i) q^{22} +(-2.31553 - 0.492181i) q^{23} +(10.5333 + 1.04156i) q^{24} +(4.00772 + 2.98968i) q^{25} -4.52040 q^{26} +(0.0959772 + 5.19527i) q^{27} +(-7.38384 + 5.36467i) q^{28} +(-7.47301 - 3.32720i) q^{29} +(4.90524 - 8.49327i) q^{30} +(6.20029 - 2.76055i) q^{31} +(-2.30859 + 3.99860i) q^{32} +(-0.856491 + 4.15511i) q^{33} +(11.2512 - 2.39152i) q^{34} +(0.932951 + 4.52939i) q^{35} +(-12.1602 - 5.23561i) q^{36} +(1.53985 - 4.73917i) q^{37} +(17.9119 - 3.80729i) q^{38} +(2.94624 + 0.937275i) q^{39} +(7.96211 + 11.1054i) q^{40} +(-3.20347 - 3.55781i) q^{41} +(8.60997 - 2.85628i) q^{42} +(4.14034 + 7.17127i) q^{43} +(-8.74507 - 6.35367i) q^{44} +(-4.95809 + 4.51855i) q^{45} +(-4.84997 + 3.52371i) q^{46} +(-9.25434 - 4.12030i) q^{47} +(8.51140 - 7.75912i) q^{48} +(1.36143 - 2.35806i) q^{49} +(12.4176 - 2.47626i) q^{50} +(-7.82901 - 0.774155i) q^{51} +(-5.27108 + 5.85413i) q^{52} +(-2.52356 + 1.83348i) q^{53} +(9.93988 + 8.62285i) q^{54} +(-4.76039 + 2.70855i) q^{55} +(-1.32108 + 12.5692i) q^{56} +(-12.4638 - 1.23245i) q^{57} +(-18.9248 + 8.42585i) q^{58} +(6.99016 + 7.76336i) q^{59} +(-5.27935 - 16.2562i) q^{60} +(-1.76446 + 1.95963i) q^{61} +(5.31128 - 16.3465i) q^{62} +(-6.20391 + 0.0764024i) q^{63} +(-0.496397 - 1.52775i) q^{64} +(1.60044 + 3.65649i) q^{65} +(6.36839 + 8.65279i) q^{66} +(-1.48939 + 0.663118i) q^{67} +(10.0225 - 17.3595i) q^{68} +(3.89166 - 1.29102i) q^{69} +(10.1050 + 5.91936i) q^{70} +(8.24169 - 5.98794i) q^{71} +(-16.6551 + 7.66247i) q^{72} +(-0.608028 - 1.87132i) q^{73} +(-6.30959 - 10.9285i) q^{74} +(-8.60680 - 0.960767i) q^{75} +(15.9558 - 27.6363i) q^{76} +(-4.95496 - 1.05321i) q^{77} +(6.75636 - 3.95645i) q^{78} +(13.6290 + 6.06801i) q^{79} +(14.7772 + 1.64738i) q^{80} +(-4.69058 - 7.68104i) q^{81} -12.1240 q^{82} +(-0.424422 + 4.03811i) q^{83} +(6.34077 - 14.4809i) q^{84} +(-5.91793 - 8.25424i) q^{85} +(20.5119 + 4.35993i) q^{86} +(14.0816 - 1.56775i) q^{87} +(-14.6413 + 3.11211i) q^{88} +(0.105993 + 0.326212i) q^{89} +(0.102122 + 16.9877i) q^{90} +(-1.14078 + 3.51095i) q^{91} +(-1.09201 + 10.3898i) q^{92} +(-6.85104 + 9.55279i) q^{93} +(-23.4358 + 10.4343i) q^{94} +(-9.42133 - 13.1407i) q^{95} +(-0.0492408 - 7.99705i) q^{96} +(-10.0640 - 4.48076i) q^{97} +(-2.13079 - 6.55791i) q^{98} +(-2.35660 - 6.96004i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.69452 1.88195i 1.19821 1.33074i 0.268125 0.963384i \(-0.413596\pi\)
0.930080 0.367358i \(-0.119737\pi\)
\(3\) −1.49464 + 0.875245i −0.862930 + 0.505323i
\(4\) −0.461298 4.38896i −0.230649 2.19448i
\(5\) −2.12223 0.704374i −0.949090 0.315005i
\(6\) −0.885523 + 4.29596i −0.361513 + 1.75382i
\(7\) −1.03406 1.79105i −0.390839 0.676953i 0.601721 0.798706i \(-0.294482\pi\)
−0.992560 + 0.121753i \(0.961148\pi\)
\(8\) −4.94396 3.59200i −1.74795 1.26996i
\(9\) 1.46789 2.61635i 0.489298 0.872117i
\(10\) −4.92175 + 2.80036i −1.55640 + 0.885552i
\(11\) 1.63896 1.82025i 0.494166 0.548827i −0.443541 0.896254i \(-0.646278\pi\)
0.937707 + 0.347427i \(0.112945\pi\)
\(12\) 4.53089 + 6.15617i 1.30796 + 1.77713i
\(13\) −1.19441 1.32652i −0.331269 0.367911i 0.554383 0.832262i \(-0.312954\pi\)
−0.885651 + 0.464351i \(0.846288\pi\)
\(14\) −5.12291 1.08891i −1.36916 0.291023i
\(15\) 3.78847 0.804686i 0.978178 0.207769i
\(16\) −6.50420 + 1.38251i −1.62605 + 0.345628i
\(17\) 3.67466 + 2.66979i 0.891235 + 0.647520i 0.936200 0.351469i \(-0.114318\pi\)
−0.0449649 + 0.998989i \(0.514318\pi\)
\(18\) −2.43648 7.19596i −0.574283 1.69610i
\(19\) 5.85004 + 4.25031i 1.34209 + 0.975087i 0.999364 + 0.0356524i \(0.0113509\pi\)
0.342728 + 0.939435i \(0.388649\pi\)
\(20\) −2.11249 + 9.63931i −0.472367 + 2.15542i
\(21\) 3.11316 + 1.77192i 0.679347 + 0.386664i
\(22\) −0.648378 6.16890i −0.138235 1.31521i
\(23\) −2.31553 0.492181i −0.482821 0.102627i −0.0399305 0.999202i \(-0.512714\pi\)
−0.442891 + 0.896576i \(0.646047\pi\)
\(24\) 10.5333 + 1.04156i 2.15010 + 0.212608i
\(25\) 4.00772 + 2.98968i 0.801543 + 0.597937i
\(26\) −4.52040 −0.886523
\(27\) 0.0959772 + 5.19527i 0.0184708 + 0.999829i
\(28\) −7.38384 + 5.36467i −1.39541 + 1.01383i
\(29\) −7.47301 3.32720i −1.38770 0.617845i −0.429273 0.903175i \(-0.641230\pi\)
−0.958429 + 0.285330i \(0.907897\pi\)
\(30\) 4.90524 8.49327i 0.895571 1.55065i
\(31\) 6.20029 2.76055i 1.11361 0.495809i 0.234346 0.972153i \(-0.424705\pi\)
0.879259 + 0.476344i \(0.158038\pi\)
\(32\) −2.30859 + 3.99860i −0.408105 + 0.706859i
\(33\) −0.856491 + 4.15511i −0.149096 + 0.723313i
\(34\) 11.2512 2.39152i 1.92956 0.410141i
\(35\) 0.932951 + 4.52939i 0.157698 + 0.765606i
\(36\) −12.1602 5.23561i −2.02670 0.872601i
\(37\) 1.53985 4.73917i 0.253150 0.779115i −0.741039 0.671462i \(-0.765667\pi\)
0.994189 0.107653i \(-0.0343334\pi\)
\(38\) 17.9119 3.80729i 2.90569 0.617624i
\(39\) 2.94624 + 0.937275i 0.471776 + 0.150084i
\(40\) 7.96211 + 11.1054i 1.25892 + 1.75592i
\(41\) −3.20347 3.55781i −0.500297 0.555636i 0.439113 0.898432i \(-0.355293\pi\)
−0.939410 + 0.342796i \(0.888626\pi\)
\(42\) 8.60997 2.85628i 1.32855 0.440733i
\(43\) 4.14034 + 7.17127i 0.631395 + 1.09361i 0.987267 + 0.159074i \(0.0508508\pi\)
−0.355871 + 0.934535i \(0.615816\pi\)
\(44\) −8.74507 6.35367i −1.31837 0.957851i
\(45\) −4.95809 + 4.51855i −0.739109 + 0.673586i
\(46\) −4.84997 + 3.52371i −0.715088 + 0.519542i
\(47\) −9.25434 4.12030i −1.34988 0.601007i −0.400839 0.916148i \(-0.631281\pi\)
−0.949045 + 0.315141i \(0.897948\pi\)
\(48\) 8.51140 7.75912i 1.22851 1.11993i
\(49\) 1.36143 2.35806i 0.194489 0.336866i
\(50\) 12.4176 2.47626i 1.75611 0.350196i
\(51\) −7.82901 0.774155i −1.09628 0.108403i
\(52\) −5.27108 + 5.85413i −0.730967 + 0.811821i
\(53\) −2.52356 + 1.83348i −0.346638 + 0.251847i −0.747457 0.664310i \(-0.768726\pi\)
0.400819 + 0.916157i \(0.368726\pi\)
\(54\) 9.93988 + 8.62285i 1.35265 + 1.17342i
\(55\) −4.76039 + 2.70855i −0.641891 + 0.365221i
\(56\) −1.32108 + 12.5692i −0.176537 + 1.67963i
\(57\) −12.4638 1.23245i −1.65087 0.163242i
\(58\) −18.9248 + 8.42585i −2.48494 + 1.10637i
\(59\) 6.99016 + 7.76336i 0.910041 + 1.01070i 0.999891 + 0.0147480i \(0.00469459\pi\)
−0.0898499 + 0.995955i \(0.528639\pi\)
\(60\) −5.27935 16.2562i −0.681561 2.09867i
\(61\) −1.76446 + 1.95963i −0.225916 + 0.250905i −0.845437 0.534075i \(-0.820660\pi\)
0.619521 + 0.784980i \(0.287327\pi\)
\(62\) 5.31128 16.3465i 0.674534 2.07600i
\(63\) −6.20391 + 0.0764024i −0.781619 + 0.00962580i
\(64\) −0.496397 1.52775i −0.0620496 0.190969i
\(65\) 1.60044 + 3.65649i 0.198510 + 0.453532i
\(66\) 6.36839 + 8.65279i 0.783895 + 1.06509i
\(67\) −1.48939 + 0.663118i −0.181958 + 0.0810127i −0.495693 0.868498i \(-0.665086\pi\)
0.313736 + 0.949510i \(0.398419\pi\)
\(68\) 10.0225 17.3595i 1.21541 2.10515i
\(69\) 3.89166 1.29102i 0.468501 0.155421i
\(70\) 10.1050 + 5.91936i 1.20778 + 0.707498i
\(71\) 8.24169 5.98794i 0.978109 0.710638i 0.0208238 0.999783i \(-0.493371\pi\)
0.957285 + 0.289145i \(0.0933711\pi\)
\(72\) −16.6551 + 7.66247i −1.96283 + 0.903030i
\(73\) −0.608028 1.87132i −0.0711643 0.219021i 0.909148 0.416472i \(-0.136734\pi\)
−0.980313 + 0.197451i \(0.936734\pi\)
\(74\) −6.30959 10.9285i −0.733475 1.27042i
\(75\) −8.60680 0.960767i −0.993827 0.110940i
\(76\) 15.9558 27.6363i 1.83026 3.17010i
\(77\) −4.95496 1.05321i −0.564670 0.120024i
\(78\) 6.75636 3.95645i 0.765007 0.447980i
\(79\) 13.6290 + 6.06801i 1.53338 + 0.682704i 0.987853 0.155390i \(-0.0496635\pi\)
0.545525 + 0.838094i \(0.316330\pi\)
\(80\) 14.7772 + 1.64738i 1.65214 + 0.184183i
\(81\) −4.69058 7.68104i −0.521176 0.853449i
\(82\) −12.1240 −1.33887
\(83\) −0.424422 + 4.03811i −0.0465864 + 0.443240i 0.946221 + 0.323520i \(0.104866\pi\)
−0.992808 + 0.119720i \(0.961800\pi\)
\(84\) 6.34077 14.4809i 0.691835 1.58000i
\(85\) −5.91793 8.25424i −0.641890 0.895298i
\(86\) 20.5119 + 4.35993i 2.21185 + 0.470144i
\(87\) 14.0816 1.56775i 1.50970 0.168081i
\(88\) −14.6413 + 3.11211i −1.56077 + 0.331752i
\(89\) 0.105993 + 0.326212i 0.0112352 + 0.0345784i 0.956517 0.291677i \(-0.0942131\pi\)
−0.945282 + 0.326255i \(0.894213\pi\)
\(90\) 0.102122 + 16.9877i 0.0107646 + 1.79066i
\(91\) −1.14078 + 3.51095i −0.119586 + 0.368048i
\(92\) −1.09201 + 10.3898i −0.113850 + 1.08321i
\(93\) −6.85104 + 9.55279i −0.710420 + 0.990579i
\(94\) −23.4358 + 10.4343i −2.41722 + 1.07622i
\(95\) −9.42133 13.1407i −0.966608 1.34821i
\(96\) −0.0492408 7.99705i −0.00502561 0.816195i
\(97\) −10.0640 4.48076i −1.02184 0.454953i −0.173742 0.984791i \(-0.555586\pi\)
−0.848098 + 0.529839i \(0.822252\pi\)
\(98\) −2.13079 6.55791i −0.215243 0.662449i
\(99\) −2.35660 6.96004i −0.236847 0.699510i
\(100\) 11.2729 18.9688i 1.12729 1.89688i
\(101\) 6.38861 + 11.0654i 0.635691 + 1.10105i 0.986368 + 0.164553i \(0.0526180\pi\)
−0.350677 + 0.936496i \(0.614049\pi\)
\(102\) −14.7233 + 13.4220i −1.45783 + 1.32898i
\(103\) 0.959675 + 9.13070i 0.0945596 + 0.899674i 0.934252 + 0.356613i \(0.116068\pi\)
−0.839693 + 0.543062i \(0.817265\pi\)
\(104\) 1.14023 + 10.8486i 0.111809 + 1.06379i
\(105\) −5.35875 5.95324i −0.522960 0.580977i
\(106\) −0.825708 + 7.85609i −0.0801999 + 0.763051i
\(107\) 0.980681 0.0948061 0.0474030 0.998876i \(-0.484905\pi\)
0.0474030 + 0.998876i \(0.484905\pi\)
\(108\) 22.7575 2.81781i 2.18985 0.271144i
\(109\) −2.74384 + 8.44467i −0.262812 + 0.808853i 0.729377 + 0.684112i \(0.239810\pi\)
−0.992189 + 0.124741i \(0.960190\pi\)
\(110\) −2.96920 + 13.5485i −0.283103 + 1.29180i
\(111\) 1.84641 + 8.43110i 0.175254 + 0.800244i
\(112\) 9.20190 + 10.2197i 0.869498 + 0.965675i
\(113\) 4.53863 + 5.04065i 0.426958 + 0.474185i 0.917788 0.397070i \(-0.129973\pi\)
−0.490830 + 0.871255i \(0.663306\pi\)
\(114\) −23.4395 + 21.3678i −2.19531 + 2.00128i
\(115\) 4.56740 + 2.67552i 0.425913 + 0.249493i
\(116\) −11.1557 + 34.3336i −1.03578 + 3.18779i
\(117\) −5.22391 + 1.17779i −0.482951 + 0.108887i
\(118\) 26.4552 2.43540
\(119\) 0.981908 9.34223i 0.0900113 0.856401i
\(120\) −21.6205 9.62983i −1.97367 0.879079i
\(121\) 0.522693 + 4.97309i 0.0475175 + 0.452099i
\(122\) 0.698024 + 6.64126i 0.0631962 + 0.601271i
\(123\) 7.90198 + 2.51382i 0.712497 + 0.226664i
\(124\) −14.9761 25.9394i −1.34490 2.32943i
\(125\) −6.39944 9.16773i −0.572383 0.819986i
\(126\) −10.3689 + 11.8049i −0.923731 + 1.05167i
\(127\) 3.08193 + 9.48521i 0.273477 + 0.841676i 0.989618 + 0.143721i \(0.0459067\pi\)
−0.716141 + 0.697955i \(0.754093\pi\)
\(128\) −12.1523 5.41057i −1.07412 0.478231i
\(129\) −12.4649 7.09466i −1.09748 0.624650i
\(130\) 9.59332 + 3.18405i 0.841390 + 0.279259i
\(131\) −12.5686 + 5.59591i −1.09813 + 0.488917i −0.874139 0.485675i \(-0.838574\pi\)
−0.223986 + 0.974592i \(0.571907\pi\)
\(132\) 18.6317 + 1.84236i 1.62168 + 0.160357i
\(133\) 1.56320 14.8728i 0.135546 1.28964i
\(134\) −1.27584 + 3.92662i −0.110215 + 0.339208i
\(135\) 3.45572 11.0932i 0.297421 0.954746i
\(136\) −8.57746 26.3987i −0.735511 2.26367i
\(137\) 8.34276 1.77331i 0.712770 0.151504i 0.162764 0.986665i \(-0.447959\pi\)
0.550005 + 0.835161i \(0.314626\pi\)
\(138\) 4.16484 9.51158i 0.354535 0.809679i
\(139\) 9.12603 + 1.93980i 0.774060 + 0.164532i 0.577974 0.816055i \(-0.303843\pi\)
0.196086 + 0.980587i \(0.437177\pi\)
\(140\) 19.4489 6.18409i 1.64374 0.522651i
\(141\) 17.4382 1.94145i 1.46856 0.163500i
\(142\) 2.69667 25.6571i 0.226300 2.15310i
\(143\) −4.37219 −0.365621
\(144\) −5.93034 + 19.0466i −0.494195 + 1.58722i
\(145\) 13.5158 + 12.3249i 1.12243 + 1.02352i
\(146\) −4.55205 2.02670i −0.376730 0.167731i
\(147\) 0.0290383 + 4.71603i 0.00239504 + 0.388971i
\(148\) −21.5104 4.57217i −1.76814 0.375830i
\(149\) −3.47298 + 6.01538i −0.284518 + 0.492799i −0.972492 0.232936i \(-0.925167\pi\)
0.687974 + 0.725735i \(0.258500\pi\)
\(150\) −16.3925 + 14.5695i −1.33844 + 1.18960i
\(151\) 0.394205 + 0.682783i 0.0320800 + 0.0555641i 0.881620 0.471961i \(-0.156454\pi\)
−0.849540 + 0.527525i \(0.823120\pi\)
\(152\) −13.6553 42.0267i −1.10759 3.40881i
\(153\) 12.3791 5.69522i 1.00079 0.460431i
\(154\) −10.3783 + 7.54031i −0.836311 + 0.607616i
\(155\) −15.1029 + 1.49119i −1.21309 + 0.119776i
\(156\) 2.75457 13.3633i 0.220542 1.06992i
\(157\) −1.94393 + 3.36698i −0.155142 + 0.268714i −0.933111 0.359589i \(-0.882917\pi\)
0.777969 + 0.628303i \(0.216250\pi\)
\(158\) 34.5142 15.3667i 2.74580 1.22251i
\(159\) 2.16708 4.94912i 0.171860 0.392491i
\(160\) 7.71587 6.85983i 0.609993 0.542318i
\(161\) 1.51288 + 4.65617i 0.119232 + 0.366958i
\(162\) −22.4036 4.18822i −1.76020 0.329057i
\(163\) 2.59370 7.98258i 0.203154 0.625244i −0.796630 0.604467i \(-0.793386\pi\)
0.999784 0.0207767i \(-0.00661392\pi\)
\(164\) −14.1373 + 15.7011i −1.10394 + 1.22605i
\(165\) 4.74442 8.21482i 0.369353 0.639523i
\(166\) 6.88033 + 7.64139i 0.534018 + 0.593087i
\(167\) 9.87343 4.39594i 0.764029 0.340168i 0.0125472 0.999921i \(-0.496006\pi\)
0.751482 + 0.659754i \(0.229339\pi\)
\(168\) −9.02662 19.9427i −0.696419 1.53862i
\(169\) 1.02581 9.75997i 0.0789088 0.750767i
\(170\) −25.5621 2.84970i −1.96053 0.218562i
\(171\) 19.7075 9.06677i 1.50707 0.693353i
\(172\) 29.5645 21.4799i 2.25427 1.63783i
\(173\) −11.0146 + 12.2329i −0.837422 + 0.930051i −0.998379 0.0569100i \(-0.981875\pi\)
0.160957 + 0.986961i \(0.448542\pi\)
\(174\) 20.9110 29.1574i 1.58526 2.21042i
\(175\) 1.21044 10.2695i 0.0915009 0.776305i
\(176\) −8.14362 + 14.1052i −0.613849 + 1.06322i
\(177\) −17.2426 5.48532i −1.29603 0.412302i
\(178\) 0.793522 + 0.353299i 0.0594770 + 0.0264809i
\(179\) −0.422707 + 0.307115i −0.0315946 + 0.0229548i −0.603471 0.797385i \(-0.706216\pi\)
0.571876 + 0.820340i \(0.306216\pi\)
\(180\) 22.1189 + 19.6765i 1.64865 + 1.46660i
\(181\) −18.6716 13.5657i −1.38785 1.00833i −0.996097 0.0882646i \(-0.971868\pi\)
−0.391756 0.920069i \(-0.628132\pi\)
\(182\) 4.67438 + 8.09626i 0.346488 + 0.600134i
\(183\) 0.922074 4.47328i 0.0681616 0.330674i
\(184\) 9.67997 + 10.7507i 0.713617 + 0.792552i
\(185\) −6.60606 + 8.97298i −0.485687 + 0.659706i
\(186\) 6.36869 + 29.0807i 0.466975 + 2.13230i
\(187\) 10.8823 2.31311i 0.795794 0.169151i
\(188\) −13.8148 + 42.5176i −1.00755 + 3.10092i
\(189\) 9.20574 5.54413i 0.669619 0.403276i
\(190\) −40.6949 4.53672i −2.95232 0.329128i
\(191\) 0.982006 0.208732i 0.0710555 0.0151033i −0.172247 0.985054i \(-0.555103\pi\)
0.243302 + 0.969951i \(0.421769\pi\)
\(192\) 2.07909 + 1.84897i 0.150046 + 0.133438i
\(193\) 6.92614 11.9964i 0.498554 0.863521i −0.501444 0.865190i \(-0.667198\pi\)
0.999999 + 0.00166856i \(0.000531120\pi\)
\(194\) −25.4861 + 11.3472i −1.82980 + 0.814679i
\(195\) −5.59240 4.06436i −0.400480 0.291055i
\(196\) −10.9775 4.88748i −0.784104 0.349105i
\(197\) 6.40803 4.65571i 0.456553 0.331705i −0.335624 0.941996i \(-0.608947\pi\)
0.792178 + 0.610291i \(0.208947\pi\)
\(198\) −17.0918 7.35890i −1.21466 0.522974i
\(199\) 14.6161 1.03611 0.518053 0.855348i \(-0.326657\pi\)
0.518053 + 0.855348i \(0.326657\pi\)
\(200\) −9.07505 29.1766i −0.641703 2.06310i
\(201\) 1.64571 2.29470i 0.116079 0.161856i
\(202\) 31.6502 + 6.72746i 2.22690 + 0.473342i
\(203\) 1.76839 + 16.8251i 0.124116 + 1.18089i
\(204\) 0.213773 + 34.7183i 0.0149671 + 2.43077i
\(205\) 4.29246 + 9.80692i 0.299799 + 0.684945i
\(206\) 18.8097 + 13.6661i 1.31054 + 0.952160i
\(207\) −4.68667 + 5.33577i −0.325746 + 0.370861i
\(208\) 9.60259 + 6.97669i 0.665820 + 0.483746i
\(209\) 17.3246 3.68246i 1.19837 0.254721i
\(210\) −20.2842 0.00295802i −1.39974 0.000204123i
\(211\) −13.0287 2.76934i −0.896933 0.190649i −0.263695 0.964606i \(-0.584941\pi\)
−0.633238 + 0.773957i \(0.718275\pi\)
\(212\) 9.21118 + 10.2300i 0.632626 + 0.702603i
\(213\) −7.07744 + 16.1633i −0.484938 + 1.10749i
\(214\) 1.66178 1.84560i 0.113597 0.126162i
\(215\) −3.73549 18.1354i −0.254758 1.23683i
\(216\) 18.1869 26.0299i 1.23746 1.77111i
\(217\) −11.3558 8.25045i −0.770880 0.560077i
\(218\) 11.2430 + 19.4734i 0.761471 + 1.31891i
\(219\) 2.54664 + 2.26477i 0.172086 + 0.153039i
\(220\) 14.0837 + 19.6437i 0.949522 + 1.32438i
\(221\) −0.847490 8.06333i −0.0570084 0.542398i
\(222\) 18.9957 + 10.8118i 1.27491 + 0.725639i
\(223\) 2.44141 2.71146i 0.163489 0.181573i −0.655834 0.754905i \(-0.727683\pi\)
0.819323 + 0.573332i \(0.194350\pi\)
\(224\) 9.54893 0.638014
\(225\) 13.7050 6.09705i 0.913664 0.406470i
\(226\) 17.1771 1.14260
\(227\) 10.5152 11.6783i 0.697915 0.775114i −0.285127 0.958490i \(-0.592036\pi\)
0.983043 + 0.183376i \(0.0587026\pi\)
\(228\) 0.340327 + 55.2715i 0.0225387 + 3.66045i
\(229\) −0.627978 5.97482i −0.0414980 0.394827i −0.995481 0.0949650i \(-0.969726\pi\)
0.953983 0.299862i \(-0.0969406\pi\)
\(230\) 12.7747 4.06193i 0.842342 0.267835i
\(231\) 8.32769 2.76263i 0.547921 0.181768i
\(232\) 24.9950 + 43.2926i 1.64100 + 2.84230i
\(233\) −0.484321 0.351880i −0.0317289 0.0230524i 0.571808 0.820388i \(-0.306242\pi\)
−0.603537 + 0.797335i \(0.706242\pi\)
\(234\) −6.63546 + 11.8269i −0.433773 + 0.773151i
\(235\) 16.7376 + 15.2627i 1.09184 + 0.995630i
\(236\) 30.8485 34.2608i 2.00807 2.23019i
\(237\) −25.6814 + 2.85920i −1.66818 + 0.185725i
\(238\) −15.9178 17.6785i −1.03180 1.14593i
\(239\) −1.14937 0.244307i −0.0743469 0.0158029i 0.170588 0.985342i \(-0.445433\pi\)
−0.244935 + 0.969540i \(0.578767\pi\)
\(240\) −23.5285 + 10.4714i −1.51876 + 0.675928i
\(241\) −17.5785 + 3.73642i −1.13233 + 0.240684i −0.735709 0.677298i \(-0.763151\pi\)
−0.396621 + 0.917982i \(0.629817\pi\)
\(242\) 10.2448 + 7.44331i 0.658563 + 0.478474i
\(243\) 13.7335 + 7.37498i 0.881006 + 0.473105i
\(244\) 9.41469 + 6.84017i 0.602714 + 0.437897i
\(245\) −4.55021 + 4.04539i −0.290702 + 0.258450i
\(246\) 18.1209 10.6114i 1.15535 0.676560i
\(247\) −1.34920 12.8368i −0.0858477 0.816787i
\(248\) −40.5699 8.62339i −2.57619 0.547586i
\(249\) −2.89997 6.40699i −0.183778 0.406026i
\(250\) −28.0972 3.49144i −1.77702 0.220818i
\(251\) 0.313172 0.0197673 0.00988364 0.999951i \(-0.496854\pi\)
0.00988364 + 0.999951i \(0.496854\pi\)
\(252\) 3.19718 + 27.1935i 0.201403 + 1.71303i
\(253\) −4.69096 + 3.40818i −0.294918 + 0.214270i
\(254\) 23.0731 + 10.2728i 1.44773 + 0.644573i
\(255\) 16.0697 + 7.15748i 1.00632 + 0.448219i
\(256\) −27.8398 + 12.3951i −1.73999 + 0.774692i
\(257\) 1.48530 2.57262i 0.0926507 0.160476i −0.815975 0.578087i \(-0.803799\pi\)
0.908626 + 0.417611i \(0.137133\pi\)
\(258\) −34.4739 + 11.4364i −2.14625 + 0.711998i
\(259\) −10.0804 + 2.14265i −0.626365 + 0.133138i
\(260\) 15.3099 8.71099i 0.949482 0.540233i
\(261\) −19.6747 + 14.6680i −1.21783 + 0.907929i
\(262\) −10.7665 + 33.1359i −0.665158 + 2.04714i
\(263\) 7.94955 1.68973i 0.490190 0.104193i 0.0438160 0.999040i \(-0.486048\pi\)
0.446374 + 0.894847i \(0.352715\pi\)
\(264\) 19.1596 17.4662i 1.17919 1.07497i
\(265\) 6.64704 2.11353i 0.408324 0.129833i
\(266\) −25.3411 28.1441i −1.55376 1.72563i
\(267\) −0.443936 0.394800i −0.0271685 0.0241614i
\(268\) 3.59745 + 6.23097i 0.219749 + 0.380617i
\(269\) 18.6230 + 13.5304i 1.13547 + 0.824965i 0.986481 0.163874i \(-0.0523992\pi\)
0.148986 + 0.988839i \(0.452399\pi\)
\(270\) −15.0210 25.3010i −0.914149 1.53977i
\(271\) −18.3049 + 13.2993i −1.11194 + 0.807874i −0.982969 0.183774i \(-0.941169\pi\)
−0.128974 + 0.991648i \(0.541169\pi\)
\(272\) −27.5917 12.2846i −1.67299 0.744865i
\(273\) −1.36789 6.24606i −0.0827885 0.378029i
\(274\) 10.7997 18.7056i 0.652432 1.13005i
\(275\) 12.0105 2.39507i 0.724259 0.144428i
\(276\) −7.46146 16.4848i −0.449127 0.992268i
\(277\) −6.92921 + 7.69566i −0.416336 + 0.462388i −0.914435 0.404732i \(-0.867365\pi\)
0.498100 + 0.867120i \(0.334031\pi\)
\(278\) 19.1148 13.8877i 1.14643 0.832931i
\(279\) 1.87880 20.2743i 0.112481 1.21379i
\(280\) 11.6571 25.7443i 0.696643 1.53851i
\(281\) 2.65920 25.3006i 0.158635 1.50931i −0.568425 0.822735i \(-0.692447\pi\)
0.727060 0.686574i \(-0.240886\pi\)
\(282\) 25.8956 36.1076i 1.54206 2.15018i
\(283\) −15.1378 + 6.73980i −0.899851 + 0.400639i −0.803912 0.594748i \(-0.797252\pi\)
−0.0959386 + 0.995387i \(0.530585\pi\)
\(284\) −30.0827 33.4102i −1.78508 1.98253i
\(285\) 25.5829 + 11.3947i 1.51540 + 0.674963i
\(286\) −7.40876 + 8.22826i −0.438089 + 0.486547i
\(287\) −3.05963 + 9.41657i −0.180604 + 0.555842i
\(288\) 7.07297 + 11.9096i 0.416779 + 0.701780i
\(289\) 1.12201 + 3.45318i 0.0660004 + 0.203128i
\(290\) 46.0977 4.55148i 2.70695 0.267272i
\(291\) 18.9637 2.11130i 1.11167 0.123767i
\(292\) −7.93266 + 3.53185i −0.464224 + 0.206686i
\(293\) −6.06420 + 10.5035i −0.354274 + 0.613621i −0.986993 0.160760i \(-0.948605\pi\)
0.632719 + 0.774381i \(0.281939\pi\)
\(294\) 8.92455 + 7.93675i 0.520490 + 0.462880i
\(295\) −9.36642 21.3993i −0.545334 1.24592i
\(296\) −24.6360 + 17.8991i −1.43194 + 1.04037i
\(297\) 9.61400 + 8.34014i 0.557861 + 0.483944i
\(298\) 5.43564 + 16.7292i 0.314878 + 0.969095i
\(299\) 2.11279 + 3.65946i 0.122186 + 0.211632i
\(300\) −0.246470 + 38.2181i −0.0142299 + 2.20652i
\(301\) 8.56274 14.8311i 0.493548 0.854851i
\(302\) 1.95295 + 0.415113i 0.112380 + 0.0238871i
\(303\) −19.2336 10.9472i −1.10494 0.628899i
\(304\) −43.9259 19.5571i −2.51933 1.12168i
\(305\) 5.12490 2.91595i 0.293451 0.166967i
\(306\) 10.2585 32.9476i 0.586440 1.88349i
\(307\) −11.7705 −0.671776 −0.335888 0.941902i \(-0.609036\pi\)
−0.335888 + 0.941902i \(0.609036\pi\)
\(308\) −2.33678 + 22.2330i −0.133150 + 1.26684i
\(309\) −9.42596 12.8071i −0.536224 0.728573i
\(310\) −22.7858 + 30.9498i −1.29414 + 1.75783i
\(311\) −9.67624 2.05675i −0.548689 0.116628i −0.0747782 0.997200i \(-0.523825\pi\)
−0.473911 + 0.880573i \(0.657158\pi\)
\(312\) −11.1994 15.2167i −0.634041 0.861478i
\(313\) 33.6648 7.15567i 1.90285 0.404462i 0.903154 0.429316i \(-0.141245\pi\)
0.999691 + 0.0248538i \(0.00791202\pi\)
\(314\) 3.04248 + 9.36378i 0.171697 + 0.528429i
\(315\) 13.2199 + 4.20773i 0.744859 + 0.237079i
\(316\) 20.3452 62.6162i 1.14451 3.52243i
\(317\) −2.32443 + 22.1155i −0.130553 + 1.24213i 0.711481 + 0.702706i \(0.248025\pi\)
−0.842034 + 0.539425i \(0.818642\pi\)
\(318\) −5.64187 12.4647i −0.316380 0.698987i
\(319\) −18.3043 + 8.14961i −1.02485 + 0.456290i
\(320\) −0.0226404 + 3.59189i −0.00126564 + 0.200793i
\(321\) −1.46576 + 0.858336i −0.0818110 + 0.0479077i
\(322\) 11.3263 + 5.04280i 0.631190 + 0.281024i
\(323\) 10.1495 + 31.2368i 0.564731 + 1.73806i
\(324\) −31.5481 + 24.1300i −1.75267 + 1.34056i
\(325\) −0.820957 8.88722i −0.0455385 0.492974i
\(326\) −10.6278 18.4078i −0.588618 1.01952i
\(327\) −3.29010 15.0233i −0.181943 0.830789i
\(328\) 3.05817 + 29.0965i 0.168859 + 1.60659i
\(329\) 2.18991 + 20.8356i 0.120734 + 1.14871i
\(330\) −7.42039 22.8489i −0.408479 1.25779i
\(331\) 1.36800 13.0156i 0.0751920 0.715404i −0.890371 0.455235i \(-0.849555\pi\)
0.965563 0.260169i \(-0.0837781\pi\)
\(332\) 17.9189 0.983426
\(333\) −10.1390 10.9854i −0.555614 0.601995i
\(334\) 8.45777 26.0303i 0.462788 1.42432i
\(335\) 3.62790 0.358203i 0.198214 0.0195707i
\(336\) −22.6983 7.22092i −1.23829 0.393933i
\(337\) 9.72209 + 10.7975i 0.529596 + 0.588176i 0.947276 0.320418i \(-0.103823\pi\)
−0.417680 + 0.908594i \(0.637157\pi\)
\(338\) −16.6295 18.4690i −0.904528 1.00458i
\(339\) −11.1954 3.56155i −0.608051 0.193437i
\(340\) −33.4976 + 29.7812i −1.81666 + 1.61511i
\(341\) 5.13715 15.8105i 0.278192 0.856188i
\(342\) 16.3315 52.4525i 0.883108 2.83630i
\(343\) −20.1081 −1.08573
\(344\) 5.28954 50.3266i 0.285193 2.71343i
\(345\) −9.16835 0.00133701i −0.493608 7.19822e-5i
\(346\) 4.35739 + 41.4578i 0.234255 + 2.22878i
\(347\) −1.16703 11.1035i −0.0626493 0.596068i −0.980139 0.198310i \(-0.936455\pi\)
0.917490 0.397759i \(-0.130212\pi\)
\(348\) −13.3766 61.0802i −0.717061 3.27424i
\(349\) 4.08628 + 7.07765i 0.218734 + 0.378858i 0.954421 0.298463i \(-0.0964740\pi\)
−0.735687 + 0.677321i \(0.763141\pi\)
\(350\) −17.2757 19.6799i −0.923424 1.05194i
\(351\) 6.77700 6.33257i 0.361730 0.338008i
\(352\) 3.49476 + 10.7558i 0.186272 + 0.573285i
\(353\) −20.5995 9.17150i −1.09640 0.488150i −0.222836 0.974856i \(-0.571532\pi\)
−0.873566 + 0.486706i \(0.838198\pi\)
\(354\) −39.5410 + 23.1548i −2.10158 + 1.23066i
\(355\) −21.7085 + 6.90255i −1.15217 + 0.366349i
\(356\) 1.38284 0.615679i 0.0732903 0.0326309i
\(357\) 6.70914 + 14.8227i 0.355085 + 0.784499i
\(358\) −0.138310 + 1.31593i −0.00730989 + 0.0695489i
\(359\) −7.75846 + 23.8781i −0.409476 + 1.26024i 0.507624 + 0.861579i \(0.330524\pi\)
−0.917100 + 0.398658i \(0.869476\pi\)
\(360\) 40.7432 4.53008i 2.14736 0.238756i
\(361\) 10.2866 + 31.6589i 0.541400 + 1.66626i
\(362\) −57.1695 + 12.1518i −3.00476 + 0.638682i
\(363\) −5.13391 6.97549i −0.269460 0.366118i
\(364\) 15.9357 + 3.38723i 0.835256 + 0.177539i
\(365\) −0.0277319 + 4.39965i −0.00145155 + 0.230288i
\(366\) −6.85602 9.31534i −0.358370 0.486921i
\(367\) 0.674667 6.41903i 0.0352173 0.335071i −0.962700 0.270570i \(-0.912788\pi\)
0.997918 0.0645007i \(-0.0205455\pi\)
\(368\) 15.7411 0.820562
\(369\) −14.0108 + 3.15891i −0.729374 + 0.164446i
\(370\) 5.69263 + 27.6372i 0.295946 + 1.43679i
\(371\) 5.89338 + 2.62390i 0.305969 + 0.136226i
\(372\) 45.0872 + 25.6623i 2.33766 + 1.33053i
\(373\) 23.5755 + 5.01112i 1.22069 + 0.259466i 0.772816 0.634630i \(-0.218848\pi\)
0.447875 + 0.894096i \(0.352181\pi\)
\(374\) 14.0871 24.3996i 0.728428 1.26167i
\(375\) 17.5889 + 8.10137i 0.908285 + 0.418353i
\(376\) 30.9530 + 53.6121i 1.59628 + 2.76484i
\(377\) 4.51220 + 13.8871i 0.232390 + 0.715224i
\(378\) 5.16549 26.7194i 0.265684 1.37430i
\(379\) −0.345496 + 0.251018i −0.0177469 + 0.0128939i −0.596623 0.802521i \(-0.703491\pi\)
0.578876 + 0.815415i \(0.303491\pi\)
\(380\) −53.3282 + 47.4117i −2.73568 + 2.43217i
\(381\) −12.9083 11.4795i −0.661310 0.588114i
\(382\) 1.27120 2.20179i 0.0650404 0.112653i
\(383\) 20.8402 9.27864i 1.06488 0.474117i 0.201930 0.979400i \(-0.435279\pi\)
0.862953 + 0.505283i \(0.168612\pi\)
\(384\) 22.8989 2.54942i 1.16856 0.130100i
\(385\) 9.77370 + 5.72529i 0.498114 + 0.291788i
\(386\) −10.8402 33.3628i −0.551753 1.69812i
\(387\) 24.8401 0.305911i 1.26270 0.0155503i
\(388\) −15.0234 + 46.2373i −0.762698 + 2.34734i
\(389\) 8.29913 9.21712i 0.420783 0.467327i −0.495063 0.868857i \(-0.664855\pi\)
0.915846 + 0.401531i \(0.131522\pi\)
\(390\) −17.1254 + 3.63750i −0.867177 + 0.184192i
\(391\) −7.19475 7.99058i −0.363854 0.404101i
\(392\) −15.2010 + 6.76791i −0.767765 + 0.341831i
\(393\) 13.8878 19.3645i 0.700545 0.976809i
\(394\) 2.09670 19.9488i 0.105630 1.00501i
\(395\) −24.6496 22.4776i −1.24026 1.13097i
\(396\) −29.4602 + 13.5537i −1.48043 + 0.681098i
\(397\) −2.26012 + 1.64207i −0.113432 + 0.0824133i −0.643055 0.765820i \(-0.722333\pi\)
0.529623 + 0.848233i \(0.322333\pi\)
\(398\) 24.7672 27.5068i 1.24147 1.37879i
\(399\) 10.6809 + 23.5977i 0.534716 + 1.18136i
\(400\) −30.2003 13.9048i −1.51001 0.695240i
\(401\) −18.1027 + 31.3549i −0.904008 + 1.56579i −0.0817642 + 0.996652i \(0.526055\pi\)
−0.822244 + 0.569136i \(0.807278\pi\)
\(402\) −1.52984 6.98555i −0.0763014 0.348408i
\(403\) −11.0676 4.92761i −0.551316 0.245462i
\(404\) 45.6186 33.1438i 2.26961 1.64897i
\(405\) 4.54416 + 19.6049i 0.225801 + 0.974173i
\(406\) 34.6605 + 25.1824i 1.72017 + 1.24978i
\(407\) −6.10273 10.5702i −0.302501 0.523947i
\(408\) 35.9255 + 31.9492i 1.77858 + 1.58172i
\(409\) −14.8526 16.4955i −0.734414 0.815649i 0.254037 0.967195i \(-0.418242\pi\)
−0.988450 + 0.151546i \(0.951575\pi\)
\(410\) 25.7298 + 8.53979i 1.27071 + 0.421750i
\(411\) −10.9173 + 9.95241i −0.538512 + 0.490916i
\(412\) 39.6316 8.42395i 1.95251 0.415018i
\(413\) 6.67630 20.5475i 0.328519 1.01108i
\(414\) 2.10002 + 17.8616i 0.103210 + 0.877851i
\(415\) 3.74506 8.27084i 0.183838 0.405999i
\(416\) 8.06163 1.71355i 0.395254 0.0840138i
\(417\) −15.3379 + 5.08821i −0.751101 + 0.249171i
\(418\) 22.4267 38.8441i 1.09692 1.89993i
\(419\) −29.2051 + 13.0030i −1.42676 + 0.635236i −0.967456 0.253041i \(-0.918569\pi\)
−0.459308 + 0.888277i \(0.651903\pi\)
\(420\) −23.6566 + 26.2656i −1.15432 + 1.28163i
\(421\) −1.27594 0.568087i −0.0621857 0.0276869i 0.375408 0.926860i \(-0.377503\pi\)
−0.437594 + 0.899173i \(0.644169\pi\)
\(422\) −27.2891 + 19.8267i −1.32841 + 0.965150i
\(423\) −24.3645 + 18.1644i −1.18464 + 0.883185i
\(424\) 19.0622 0.925745
\(425\) 6.74513 + 21.6858i 0.327187 + 1.05192i
\(426\) 18.4257 + 40.7084i 0.892730 + 1.97233i
\(427\) 5.33436 + 1.13385i 0.258148 + 0.0548710i
\(428\) −0.452387 4.30417i −0.0218669 0.208050i
\(429\) 6.53485 3.82674i 0.315506 0.184757i
\(430\) −40.4599 23.7008i −1.95115 1.14295i
\(431\) −0.506575 0.368048i −0.0244009 0.0177283i 0.575518 0.817789i \(-0.304800\pi\)
−0.599919 + 0.800061i \(0.704800\pi\)
\(432\) −7.80676 33.6584i −0.375603 1.61939i
\(433\) −4.64257 3.37302i −0.223108 0.162097i 0.470617 0.882338i \(-0.344031\pi\)
−0.693724 + 0.720241i \(0.744031\pi\)
\(434\) −34.7695 + 7.39049i −1.66899 + 0.354755i
\(435\) −30.9886 6.59155i −1.48579 0.316041i
\(436\) 38.3291 + 8.14710i 1.83563 + 0.390175i
\(437\) −11.4540 12.7210i −0.547920 0.608527i
\(438\) 8.57753 0.954968i 0.409850 0.0456301i
\(439\) −15.5049 + 17.2199i −0.740007 + 0.821861i −0.989197 0.146594i \(-0.953169\pi\)
0.249190 + 0.968455i \(0.419836\pi\)
\(440\) 33.2643 + 3.70835i 1.58581 + 0.176789i
\(441\) −4.17108 7.02334i −0.198623 0.334445i
\(442\) −16.6109 12.0685i −0.790100 0.574041i
\(443\) 10.9667 + 18.9950i 0.521046 + 0.902477i 0.999700 + 0.0244742i \(0.00779117\pi\)
−0.478655 + 0.878003i \(0.658875\pi\)
\(444\) 36.1520 11.9931i 1.71570 0.569167i
\(445\) 0.00483427 0.766955i 0.000229167 0.0363572i
\(446\) −0.965829 9.18925i −0.0457333 0.435124i
\(447\) −0.0740764 12.0305i −0.00350369 0.569025i
\(448\) −2.22298 + 2.46887i −0.105026 + 0.116643i
\(449\) −12.6712 −0.597990 −0.298995 0.954255i \(-0.596651\pi\)
−0.298995 + 0.954255i \(0.596651\pi\)
\(450\) 11.7489 36.1237i 0.553850 1.70289i
\(451\) −11.7265 −0.552178
\(452\) 20.0296 22.2451i 0.942112 1.04632i
\(453\) −1.18680 0.675489i −0.0557606 0.0317372i
\(454\) −4.15982 39.5781i −0.195230 1.85749i
\(455\) 4.89401 6.64751i 0.229435 0.311640i
\(456\) 57.1934 + 50.8630i 2.67833 + 2.38188i
\(457\) 0.0638731 + 0.110631i 0.00298786 + 0.00517512i 0.867515 0.497410i \(-0.165716\pi\)
−0.864528 + 0.502585i \(0.832382\pi\)
\(458\) −12.3084 8.94261i −0.575136 0.417861i
\(459\) −13.5176 + 19.3471i −0.630948 + 0.903043i
\(460\) 9.63581 21.2804i 0.449272 0.992203i
\(461\) −4.84829 + 5.38457i −0.225807 + 0.250785i −0.845393 0.534144i \(-0.820634\pi\)
0.619586 + 0.784929i \(0.287301\pi\)
\(462\) 8.91227 20.3536i 0.414636 0.946937i
\(463\) 15.2392 + 16.9248i 0.708225 + 0.786564i 0.984663 0.174468i \(-0.0558206\pi\)
−0.276438 + 0.961032i \(0.589154\pi\)
\(464\) 53.2058 + 11.3092i 2.47002 + 0.525018i
\(465\) 21.2682 15.4475i 0.986290 0.716362i
\(466\) −1.48291 + 0.315203i −0.0686945 + 0.0146015i
\(467\) −7.87672 5.72277i −0.364491 0.264818i 0.390432 0.920632i \(-0.372326\pi\)
−0.754923 + 0.655814i \(0.772326\pi\)
\(468\) 7.57907 + 22.3842i 0.350343 + 1.03471i
\(469\) 2.72780 + 1.98186i 0.125958 + 0.0915138i
\(470\) 57.0859 5.63641i 2.63318 0.259988i
\(471\) −0.0414626 6.73383i −0.00191050 0.310278i
\(472\) −6.67311 63.4904i −0.307155 2.92238i
\(473\) 19.8394 + 4.21699i 0.912216 + 0.193897i
\(474\) −38.1367 + 53.1761i −1.75168 + 2.44246i
\(475\) 10.7382 + 34.5238i 0.492704 + 1.58406i
\(476\) −41.4556 −1.90012
\(477\) 1.09270 + 9.29388i 0.0500311 + 0.425537i
\(478\) −2.40741 + 1.74909i −0.110112 + 0.0800013i
\(479\) −10.2812 4.57749i −0.469761 0.209151i 0.158183 0.987410i \(-0.449436\pi\)
−0.627944 + 0.778259i \(0.716103\pi\)
\(480\) −5.52841 + 17.0063i −0.252336 + 0.776226i
\(481\) −8.12582 + 3.61785i −0.370506 + 0.164960i
\(482\) −22.7553 + 39.4133i −1.03648 + 1.79523i
\(483\) −6.33651 5.63516i −0.288321 0.256409i
\(484\) 21.5856 4.58816i 0.981163 0.208553i
\(485\) 18.2019 + 16.5980i 0.826506 + 0.753676i
\(486\) 37.1511 13.3488i 1.68521 0.605514i
\(487\) −2.45081 + 7.54283i −0.111057 + 0.341798i −0.991104 0.133088i \(-0.957511\pi\)
0.880047 + 0.474886i \(0.157511\pi\)
\(488\) 15.7624 3.35040i 0.713531 0.151666i
\(489\) 3.11007 + 14.2012i 0.140642 + 0.642200i
\(490\) −0.0971844 + 15.4183i −0.00439035 + 0.696526i
\(491\) 9.84430 + 10.9332i 0.444267 + 0.493409i 0.923134 0.384479i \(-0.125619\pi\)
−0.478867 + 0.877888i \(0.658952\pi\)
\(492\) 7.38791 35.8411i 0.333073 1.61584i
\(493\) −18.5778 32.1777i −0.836702 1.44921i
\(494\) −26.4445 19.2131i −1.18980 0.864437i
\(495\) 0.0987738 + 16.4307i 0.00443955 + 0.738506i
\(496\) −36.5114 + 26.5271i −1.63941 + 1.19110i
\(497\) −19.2471 8.56938i −0.863352 0.384389i
\(498\) −16.9717 5.39914i −0.760520 0.241941i
\(499\) −11.7212 + 20.3017i −0.524714 + 0.908831i 0.474872 + 0.880055i \(0.342494\pi\)
−0.999586 + 0.0287762i \(0.990839\pi\)
\(500\) −37.2847 + 32.3159i −1.66742 + 1.44521i
\(501\) −10.9097 + 15.2120i −0.487410 + 0.679623i
\(502\) 0.530676 0.589376i 0.0236852 0.0263051i
\(503\) −11.6643 + 8.47463i −0.520087 + 0.377865i −0.816637 0.577152i \(-0.804164\pi\)
0.296550 + 0.955017i \(0.404164\pi\)
\(504\) 30.9463 + 21.9067i 1.37846 + 0.975802i
\(505\) −5.76393 27.9833i −0.256491 1.24524i
\(506\) −1.53488 + 14.6034i −0.0682336 + 0.649200i
\(507\) 7.00914 + 15.4855i 0.311287 + 0.687734i
\(508\) 40.2085 17.9020i 1.78396 0.794272i
\(509\) 0.258484 + 0.287075i 0.0114571 + 0.0127244i 0.748846 0.662744i \(-0.230608\pi\)
−0.737389 + 0.675468i \(0.763942\pi\)
\(510\) 40.7004 18.1139i 1.80224 0.802095i
\(511\) −2.72289 + 3.02407i −0.120453 + 0.133777i
\(512\) −15.6267 + 48.0942i −0.690611 + 2.12548i
\(513\) −21.5200 + 30.8005i −0.950131 + 1.35987i
\(514\) −2.32468 7.15462i −0.102537 0.315577i
\(515\) 4.39477 20.0534i 0.193657 0.883659i
\(516\) −25.3881 + 57.9809i −1.11765 + 2.55246i
\(517\) −22.6675 + 10.0922i −0.996915 + 0.443855i
\(518\) −13.0490 + 22.6016i −0.573342 + 0.993057i
\(519\) 5.75601 27.9242i 0.252661 1.22574i
\(520\) 5.22162 23.8263i 0.228983 1.04485i
\(521\) 35.3256 25.6656i 1.54764 1.12443i 0.602340 0.798240i \(-0.294235\pi\)
0.945304 0.326190i \(-0.105765\pi\)
\(522\) −5.73456 + 61.8821i −0.250995 + 2.70851i
\(523\) −6.03504 18.5739i −0.263894 0.812182i −0.991946 0.126660i \(-0.959574\pi\)
0.728052 0.685522i \(-0.240426\pi\)
\(524\) 30.3581 + 52.5818i 1.32620 + 2.29705i
\(525\) 7.17919 + 16.4087i 0.313326 + 0.716134i
\(526\) 10.2907 17.8239i 0.448694 0.777161i
\(527\) 30.1540 + 6.40943i 1.31353 + 0.279199i
\(528\) −0.173698 28.2098i −0.00755924 1.22767i
\(529\) −15.8921 7.07563i −0.690962 0.307636i
\(530\) 7.28596 16.0908i 0.316482 0.698940i
\(531\) 30.5725 6.89293i 1.32673 0.299128i
\(532\) −65.9973 −2.86135
\(533\) −0.893274 + 8.49894i −0.0386920 + 0.368130i
\(534\) −1.49525 + 0.166472i −0.0647059 + 0.00720395i
\(535\) −2.08123 0.690766i −0.0899795 0.0298644i
\(536\) 9.74539 + 2.07145i 0.420937 + 0.0894728i
\(537\) 0.362994 0.828999i 0.0156644 0.0357739i
\(538\) 57.0207 12.1201i 2.45834 0.522536i
\(539\) −2.06094 6.34291i −0.0887708 0.273208i
\(540\) −50.2815 10.0498i −2.16377 0.432474i
\(541\) −5.67479 + 17.4652i −0.243978 + 0.750888i 0.751824 + 0.659363i \(0.229174\pi\)
−0.995803 + 0.0915249i \(0.970826\pi\)
\(542\) −5.98935 + 56.9848i −0.257264 + 2.44771i
\(543\) 39.7807 + 3.93363i 1.70715 + 0.168808i
\(544\) −19.1587 + 8.53001i −0.821423 + 0.365721i
\(545\) 11.7713 15.9888i 0.504225 0.684887i
\(546\) −14.0727 8.00976i −0.602257 0.342786i
\(547\) 35.1535 + 15.6513i 1.50306 + 0.669203i 0.982777 0.184794i \(-0.0591616\pi\)
0.520278 + 0.853997i \(0.325828\pi\)
\(548\) −11.6315 35.7980i −0.496872 1.52922i
\(549\) 2.53704 + 7.49297i 0.108278 + 0.319792i
\(550\) 15.8446 26.6616i 0.675614 1.13686i
\(551\) −29.5758 51.2268i −1.25997 2.18234i
\(552\) −23.8776 7.59607i −1.01630 0.323310i
\(553\) −3.22511 30.6849i −0.137146 1.30485i
\(554\) 2.74121 + 26.0809i 0.116463 + 1.10807i
\(555\) 2.02013 19.1933i 0.0857495 0.814710i
\(556\) 4.30388 40.9486i 0.182525 1.73661i
\(557\) 34.0992 1.44483 0.722414 0.691461i \(-0.243032\pi\)
0.722414 + 0.691461i \(0.243032\pi\)
\(558\) −34.9717 37.8910i −1.48047 1.60405i
\(559\) 4.56761 14.0577i 0.193189 0.594576i
\(560\) −12.3300 28.1702i −0.521039 1.19041i
\(561\) −14.2406 + 12.9820i −0.601239 + 0.548099i
\(562\) −43.1085 47.8769i −1.81842 2.01956i
\(563\) −16.6117 18.4492i −0.700100 0.777540i 0.283292 0.959034i \(-0.408573\pi\)
−0.983392 + 0.181494i \(0.941907\pi\)
\(564\) −16.5652 75.6399i −0.697519 3.18501i
\(565\) −6.08150 13.8943i −0.255851 0.584538i
\(566\) −12.9674 + 39.9094i −0.545058 + 1.67752i
\(567\) −8.90678 + 16.3438i −0.374050 + 0.686373i
\(568\) −62.2553 −2.61217
\(569\) 2.96097 28.1717i 0.124130 1.18102i −0.738167 0.674618i \(-0.764308\pi\)
0.862297 0.506403i \(-0.169025\pi\)
\(570\) 64.7949 28.8372i 2.71396 1.20786i
\(571\) −3.33890 31.7675i −0.139729 1.32943i −0.809613 0.586964i \(-0.800323\pi\)
0.669884 0.742465i \(-0.266344\pi\)
\(572\) 2.01689 + 19.1894i 0.0843303 + 0.802349i
\(573\) −1.28505 + 1.17147i −0.0536839 + 0.0489391i
\(574\) 12.5369 + 21.7146i 0.523282 + 0.906351i
\(575\) −7.80852 8.89522i −0.325638 0.370956i
\(576\) −4.72579 0.943829i −0.196908 0.0393262i
\(577\) −4.21265 12.9652i −0.175375 0.539748i 0.824276 0.566189i \(-0.191583\pi\)
−0.999650 + 0.0264408i \(0.991583\pi\)
\(578\) 8.39998 + 3.73991i 0.349393 + 0.155560i
\(579\) 0.147730 + 23.9924i 0.00613945 + 0.997090i
\(580\) 47.8585 65.0060i 1.98722 2.69923i
\(581\) 7.67133 3.41550i 0.318260 0.141699i
\(582\) 28.1610 39.2665i 1.16731 1.62765i
\(583\) −0.798637 + 7.59853i −0.0330762 + 0.314699i
\(584\) −3.71570 + 11.4358i −0.153757 + 0.473215i
\(585\) 11.9159 + 1.18004i 0.492663 + 0.0487885i
\(586\) 9.49120 + 29.2109i 0.392078 + 1.20669i
\(587\) 38.8559 8.25908i 1.60376 0.340889i 0.682815 0.730592i \(-0.260756\pi\)
0.920941 + 0.389703i \(0.127422\pi\)
\(588\) 20.6851 2.30294i 0.853038 0.0949718i
\(589\) 48.0051 + 10.2038i 1.97802 + 0.420441i
\(590\) −56.1441 18.6344i −2.31141 0.767165i
\(591\) −5.50281 + 12.5672i −0.226355 + 0.516945i
\(592\) −3.46354 + 32.9534i −0.142351 + 1.35438i
\(593\) 16.9892 0.697663 0.348832 0.937185i \(-0.386579\pi\)
0.348832 + 0.937185i \(0.386579\pi\)
\(594\) 31.9869 3.96057i 1.31244 0.162504i
\(595\) −8.66425 + 19.1347i −0.355200 + 0.784447i
\(596\) 28.0034 + 12.4679i 1.14706 + 0.510705i
\(597\) −21.8458 + 12.7927i −0.894088 + 0.523568i
\(598\) 10.4671 + 2.22485i 0.428032 + 0.0909810i
\(599\) −7.81800 + 13.5412i −0.319435 + 0.553277i −0.980370 0.197166i \(-0.936826\pi\)
0.660935 + 0.750443i \(0.270160\pi\)
\(600\) 39.1006 + 35.6656i 1.59627 + 1.45604i
\(601\) −0.702116 1.21610i −0.0286399 0.0496058i 0.851350 0.524598i \(-0.175784\pi\)
−0.879990 + 0.474992i \(0.842451\pi\)
\(602\) −13.4017 41.2462i −0.546213 1.68107i
\(603\) −0.451312 + 4.87014i −0.0183788 + 0.198328i
\(604\) 2.81486 2.04512i 0.114535 0.0832147i
\(605\) 2.39364 10.9222i 0.0973152 0.444051i
\(606\) −53.1938 + 17.6465i −2.16085 + 0.716842i
\(607\) −3.79337 + 6.57031i −0.153968 + 0.266681i −0.932683 0.360698i \(-0.882539\pi\)
0.778715 + 0.627378i \(0.215872\pi\)
\(608\) −30.5006 + 13.5798i −1.23696 + 0.550732i
\(609\) −17.3691 23.5996i −0.703833 0.956305i
\(610\) 3.19656 14.5859i 0.129425 0.590568i
\(611\) 5.58777 + 17.1974i 0.226057 + 0.695732i
\(612\) −30.7066 51.7043i −1.24124 2.09002i
\(613\) 9.44377 29.0649i 0.381430 1.17392i −0.557607 0.830105i \(-0.688280\pi\)
0.939037 0.343816i \(-0.111720\pi\)
\(614\) −19.9453 + 22.1515i −0.804925 + 0.893960i
\(615\) −14.9991 10.9009i −0.604824 0.439565i
\(616\) 20.7140 + 23.0052i 0.834590 + 0.926906i
\(617\) 0.925938 0.412254i 0.0372768 0.0165967i −0.388014 0.921654i \(-0.626839\pi\)
0.425290 + 0.905057i \(0.360172\pi\)
\(618\) −40.0749 3.96272i −1.61205 0.159404i
\(619\) −4.81309 + 45.7935i −0.193454 + 1.84059i 0.280270 + 0.959921i \(0.409576\pi\)
−0.473724 + 0.880673i \(0.657091\pi\)
\(620\) 13.5117 + 65.5981i 0.542644 + 2.63448i
\(621\) 2.33477 12.0770i 0.0936912 0.484634i
\(622\) −20.2673 + 14.7250i −0.812644 + 0.590420i
\(623\) 0.474659 0.527162i 0.0190168 0.0211203i
\(624\) −20.4587 2.02302i −0.819004 0.0809855i
\(625\) 7.12357 + 23.9636i 0.284943 + 0.958545i
\(626\) 43.5789 75.4809i 1.74176 3.01682i
\(627\) −22.6710 + 20.6673i −0.905393 + 0.825371i
\(628\) 15.6743 + 6.97863i 0.625471 + 0.278478i
\(629\) 18.3110 13.3037i 0.730108 0.530455i
\(630\) 30.3202 17.7492i 1.20798 0.707146i
\(631\) −6.24556 4.53767i −0.248632 0.180642i 0.456488 0.889729i \(-0.349107\pi\)
−0.705120 + 0.709088i \(0.749107\pi\)
\(632\) −45.5848 78.9552i −1.81327 3.14067i
\(633\) 21.8971 7.26415i 0.870330 0.288724i
\(634\) 37.6815 + 41.8496i 1.49653 + 1.66206i
\(635\) 0.140565 22.3006i 0.00557816 0.884973i
\(636\) −22.7212 7.22820i −0.900954 0.286617i
\(637\) −4.75411 + 1.01052i −0.188365 + 0.0400382i
\(638\) −15.6798 + 48.2575i −0.620770 + 1.91053i
\(639\) −3.56863 30.3528i −0.141173 1.20074i
\(640\) 21.9790 + 20.0422i 0.868795 + 0.792239i
\(641\) −27.3002 + 5.80283i −1.07829 + 0.229198i −0.712623 0.701547i \(-0.752493\pi\)
−0.365669 + 0.930745i \(0.619160\pi\)
\(642\) −0.868416 + 4.21297i −0.0342737 + 0.166273i
\(643\) −3.87285 + 6.70797i −0.152730 + 0.264537i −0.932230 0.361866i \(-0.882140\pi\)
0.779500 + 0.626402i \(0.215473\pi\)
\(644\) 19.7379 8.78787i 0.777782 0.346291i
\(645\) 21.4562 + 23.8365i 0.844835 + 0.938560i
\(646\) 75.9847 + 33.8305i 2.98958 + 1.33105i
\(647\) −27.8778 + 20.2544i −1.09599 + 0.796283i −0.980401 0.197015i \(-0.936875\pi\)
−0.115588 + 0.993297i \(0.536875\pi\)
\(648\) −4.40025 + 54.8233i −0.172858 + 2.15366i
\(649\) 25.5879 1.00441
\(650\) −18.1165 13.5146i −0.710586 0.530085i
\(651\) 24.1939 + 2.39237i 0.948236 + 0.0937643i
\(652\) −36.2317 7.70129i −1.41894 0.301606i
\(653\) 1.25103 + 11.9028i 0.0489567 + 0.465792i 0.991346 + 0.131274i \(0.0419067\pi\)
−0.942389 + 0.334518i \(0.891427\pi\)
\(654\) −33.8482 19.2654i −1.32357 0.753336i
\(655\) 30.6151 3.02280i 1.19623 0.118111i
\(656\) 25.7547 + 18.7119i 1.00555 + 0.730576i
\(657\) −5.78855 1.15608i −0.225833 0.0451030i
\(658\) 42.9225 + 31.1850i 1.67329 + 1.21572i
\(659\) −9.12961 + 1.94056i −0.355639 + 0.0755934i −0.382267 0.924052i \(-0.624856\pi\)
0.0266278 + 0.999645i \(0.491523\pi\)
\(660\) −38.2431 17.0336i −1.48861 0.663033i
\(661\) −4.71132 1.00142i −0.183249 0.0389508i 0.115373 0.993322i \(-0.463194\pi\)
−0.298622 + 0.954371i \(0.596527\pi\)
\(662\) −22.1767 24.6297i −0.861922 0.957261i
\(663\) 8.32408 + 11.3100i 0.323281 + 0.439244i
\(664\) 16.6032 18.4397i 0.644329 0.715600i
\(665\) −13.7935 + 30.4624i −0.534888 + 1.18128i
\(666\) −37.8547 + 0.466188i −1.46684 + 0.0180644i
\(667\) 15.6664 + 11.3823i 0.606605 + 0.440724i
\(668\) −23.8482 41.3063i −0.922714 1.59819i
\(669\) −1.27584 + 6.18950i −0.0493267 + 0.239300i
\(670\) 5.47342 7.43452i 0.211457 0.287221i
\(671\) 0.675140 + 6.42352i 0.0260635 + 0.247977i
\(672\) −14.2722 + 8.35765i −0.550562 + 0.322403i
\(673\) −11.9310 + 13.2507i −0.459907 + 0.510779i −0.927837 0.372987i \(-0.878334\pi\)
0.467929 + 0.883766i \(0.345000\pi\)
\(674\) 36.7946 1.41728
\(675\) −15.1476 + 21.1081i −0.583030 + 0.812451i
\(676\) −43.3093 −1.66574
\(677\) 10.2517 11.3857i 0.394005 0.437586i −0.513205 0.858266i \(-0.671542\pi\)
0.907209 + 0.420680i \(0.138208\pi\)
\(678\) −25.6735 + 15.0341i −0.985985 + 0.577382i
\(679\) 2.38150 + 22.6584i 0.0913935 + 0.869551i
\(680\) −0.391213 + 62.0658i −0.0150024 + 2.38012i
\(681\) −5.49502 + 26.6581i −0.210570 + 1.02154i
\(682\) −21.0497 36.4591i −0.806034 1.39609i
\(683\) −22.9889 16.7024i −0.879645 0.639100i 0.0535124 0.998567i \(-0.482958\pi\)
−0.933158 + 0.359468i \(0.882958\pi\)
\(684\) −48.8848 82.3131i −1.86916 3.14732i
\(685\) −18.9543 2.11305i −0.724207 0.0807355i
\(686\) −34.0735 + 37.8425i −1.30093 + 1.44483i
\(687\) 6.16803 + 8.38056i 0.235325 + 0.319738i
\(688\) −36.8439 40.9193i −1.40466 1.56004i
\(689\) 5.44631 + 1.15765i 0.207488 + 0.0441029i
\(690\) −15.5385 + 17.2521i −0.591539 + 0.656778i
\(691\) −21.4992 + 4.56981i −0.817870 + 0.173844i −0.597805 0.801642i \(-0.703960\pi\)
−0.220065 + 0.975485i \(0.570627\pi\)
\(692\) 58.7708 + 42.6995i 2.23413 + 1.62319i
\(693\) −10.0289 + 11.4179i −0.380967 + 0.433730i
\(694\) −22.8739 16.6188i −0.868280 0.630842i
\(695\) −18.0012 10.5448i −0.682824 0.399988i
\(696\) −75.2500 42.8300i −2.85235 1.62347i
\(697\) −2.27302 21.6263i −0.0860966 0.819155i
\(698\) 20.2441 + 4.30301i 0.766250 + 0.162871i
\(699\) 1.03187 + 0.102034i 0.0390287 + 0.00385928i
\(700\) −45.6310 0.575266i −1.72469 0.0217430i
\(701\) 6.44692 0.243497 0.121748 0.992561i \(-0.461150\pi\)
0.121748 + 0.992561i \(0.461150\pi\)
\(702\) −0.433855 23.4847i −0.0163748 0.886371i
\(703\) 29.1511 21.1795i 1.09946 0.798801i
\(704\) −3.59447 1.60036i −0.135472 0.0603159i
\(705\) −38.3753 8.16277i −1.44530 0.307428i
\(706\) −52.1666 + 23.2261i −1.96332 + 0.874124i
\(707\) 13.2125 22.8847i 0.496906 0.860666i
\(708\) −16.1209 + 78.2075i −0.605859 + 2.93922i
\(709\) 4.80312 1.02094i 0.180385 0.0383420i −0.116833 0.993152i \(-0.537274\pi\)
0.297218 + 0.954809i \(0.403941\pi\)
\(710\) −23.7952 + 52.5509i −0.893017 + 1.97220i
\(711\) 35.8819 26.7510i 1.34568 1.00324i
\(712\) 0.647729 1.99351i 0.0242747 0.0747098i
\(713\) −15.7156 + 3.34046i −0.588555 + 0.125101i
\(714\) 39.2643 + 12.4910i 1.46943 + 0.467464i
\(715\) 9.27880 + 3.07966i 0.347007 + 0.115173i
\(716\) 1.54291 + 1.71358i 0.0576613 + 0.0640393i
\(717\) 1.93173 0.640833i 0.0721417 0.0239324i
\(718\) 31.7906 + 55.0629i 1.18641 + 2.05493i
\(719\) 38.7957 + 28.1867i 1.44683 + 1.05119i 0.986558 + 0.163412i \(0.0522498\pi\)
0.460277 + 0.887775i \(0.347750\pi\)
\(720\) 26.0015 36.2442i 0.969018 1.35074i
\(721\) 15.3612 11.1605i 0.572080 0.415640i
\(722\) 77.0113 + 34.2877i 2.86607 + 1.27605i
\(723\) 23.0032 20.9701i 0.855499 0.779886i
\(724\) −50.9263 + 88.2070i −1.89266 + 3.27819i
\(725\) −20.0024 35.6764i −0.742871 1.32499i
\(726\) −21.8270 2.15832i −0.810077 0.0801028i
\(727\) 6.94241 7.71033i 0.257480 0.285960i −0.600521 0.799609i \(-0.705040\pi\)
0.858000 + 0.513649i \(0.171707\pi\)
\(728\) 18.2513 13.2603i 0.676437 0.491461i
\(729\) −26.9816 + 0.997254i −0.999318 + 0.0369353i
\(730\) 8.23293 + 7.50747i 0.304715 + 0.277864i
\(731\) −3.93151 + 37.4058i −0.145412 + 1.38350i
\(732\) −20.0584 1.98343i −0.741379 0.0733097i
\(733\) −8.79421 + 3.91543i −0.324822 + 0.144620i −0.562668 0.826683i \(-0.690225\pi\)
0.237847 + 0.971303i \(0.423558\pi\)
\(734\) −10.9371 12.1469i −0.403695 0.448349i
\(735\) 3.26022 10.0289i 0.120255 0.369923i
\(736\) 7.31365 8.12263i 0.269585 0.299404i
\(737\) −1.23401 + 3.79789i −0.0454553 + 0.139897i
\(738\) −17.7967 + 31.7205i −0.655104 + 1.16765i
\(739\) −10.9628 33.7400i −0.403273 1.24115i −0.922329 0.386406i \(-0.873716\pi\)
0.519056 0.854740i \(-0.326284\pi\)
\(740\) 42.4294 + 24.8545i 1.55974 + 0.913671i
\(741\) 13.2519 + 18.0055i 0.486822 + 0.661449i
\(742\) 14.9245 6.64481i 0.547895 0.243939i
\(743\) 1.41943 2.45852i 0.0520738 0.0901944i −0.838814 0.544419i \(-0.816750\pi\)
0.890887 + 0.454224i \(0.150084\pi\)
\(744\) 68.1849 22.6197i 2.49978 0.829279i
\(745\) 11.6075 10.3197i 0.425268 0.378086i
\(746\) 49.3797 35.8765i 1.80792 1.31353i
\(747\) 9.94210 + 7.03794i 0.363762 + 0.257505i
\(748\) −15.1721 46.6951i −0.554749 1.70734i
\(749\) −1.01409 1.75645i −0.0370539 0.0641793i
\(750\) 45.0510 19.3735i 1.64503 0.707420i
\(751\) −19.4018 + 33.6049i −0.707983 + 1.22626i 0.257622 + 0.966246i \(0.417061\pi\)
−0.965604 + 0.260016i \(0.916272\pi\)
\(752\) 65.8884 + 14.0050i 2.40270 + 0.510710i
\(753\) −0.468080 + 0.274103i −0.0170578 + 0.00998885i
\(754\) 33.7809 + 15.0402i 1.23023 + 0.547734i
\(755\) −0.355659 1.72669i −0.0129438 0.0628407i
\(756\) −28.5796 37.8461i −1.03943 1.37645i
\(757\) 32.7437 1.19009 0.595046 0.803692i \(-0.297134\pi\)
0.595046 + 0.803692i \(0.297134\pi\)
\(758\) −0.113046 + 1.07556i −0.00410602 + 0.0390662i
\(759\) 4.02830 9.19974i 0.146218 0.333929i
\(760\) −0.622811 + 98.8087i −0.0225917 + 3.58417i
\(761\) 0.437407 + 0.0929737i 0.0158560 + 0.00337029i 0.215833 0.976430i \(-0.430753\pi\)
−0.199977 + 0.979801i \(0.564087\pi\)
\(762\) −43.4772 + 4.84047i −1.57501 + 0.175352i
\(763\) 17.9621 3.81797i 0.650273 0.138220i
\(764\) −1.36911 4.21370i −0.0495328 0.152446i
\(765\) −30.2829 + 3.36703i −1.09488 + 0.121735i
\(766\) 17.8521 54.9431i 0.645022 1.98517i
\(767\) 1.94918 18.5452i 0.0703808 0.669629i
\(768\) 30.7617 42.8928i 1.11002 1.54776i
\(769\) −6.84396 + 3.04713i −0.246800 + 0.109882i −0.526409 0.850232i \(-0.676462\pi\)
0.279609 + 0.960114i \(0.409795\pi\)
\(770\) 27.3364 8.69204i 0.985137 0.313239i
\(771\) 0.0316805 + 5.14514i 0.00114095