Properties

Label 462.2.bc.b.95.16
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.16
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.b.107.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 + 0.994522i) q^{2} +(1.67553 - 0.438853i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.684905 + 1.53832i) q^{5} +(0.261308 + 1.71223i) q^{6} +(1.54934 - 2.14465i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.61482 - 1.47062i) q^{9} +O(q^{10})\) \(q+(-0.104528 + 0.994522i) q^{2} +(1.67553 - 0.438853i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.684905 + 1.53832i) q^{5} +(0.261308 + 1.71223i) q^{6} +(1.54934 - 2.14465i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.61482 - 1.47062i) q^{9} +(-1.45830 - 0.841952i) q^{10} +(2.83081 - 1.72816i) q^{11} +(-1.73016 + 0.0808999i) q^{12} +(1.78780 - 2.46070i) q^{13} +(1.97095 + 1.76503i) q^{14} +(-0.472484 + 2.87808i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.447807 + 4.26060i) q^{17} +(1.18924 + 2.75421i) q^{18} +(-0.153183 - 0.720668i) q^{19} +(0.989774 - 1.36231i) q^{20} +(1.65479 - 4.27337i) q^{21} +(1.42279 + 2.99594i) q^{22} +(-6.96058 + 4.01869i) q^{23} +(0.100394 - 1.72914i) q^{24} +(1.44831 + 1.60851i) q^{25} +(2.26034 + 2.03522i) q^{26} +(3.73582 - 3.61160i) q^{27} +(-1.96138 + 1.77566i) q^{28} +(2.76393 + 8.50649i) q^{29} +(-2.81293 - 0.770737i) q^{30} +(-5.99246 + 2.66801i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(3.98470 - 4.13789i) q^{33} -4.28407 q^{34} +(2.23801 + 3.85227i) q^{35} +(-2.86344 + 0.894836i) q^{36} +(4.23672 - 4.70535i) q^{37} +(0.732732 - 0.0770132i) q^{38} +(1.91564 - 4.90756i) q^{39} +(1.25138 + 1.12675i) q^{40} +(0.907773 - 2.79384i) q^{41} +(4.07699 + 2.09241i) q^{42} -6.89588i q^{43} +(-3.12825 + 1.10184i) q^{44} +(0.471392 + 5.02967i) q^{45} +(-3.26910 - 7.34252i) q^{46} +(-2.33594 - 10.9898i) q^{47} +(1.70917 + 0.280589i) q^{48} +(-2.19907 - 6.64561i) q^{49} +(-1.75109 + 1.27224i) q^{50} +(2.62009 + 6.94225i) q^{51} +(-2.26034 + 2.03522i) q^{52} +(-0.415379 - 0.932956i) q^{53} +(3.20131 + 4.09287i) q^{54} +(0.719629 + 5.53832i) q^{55} +(-1.56091 - 2.13625i) q^{56} +(-0.572929 - 1.14028i) q^{57} +(-8.74880 + 1.85961i) q^{58} +(-1.40444 + 6.60737i) q^{59} +(1.06055 - 2.71695i) q^{60} +(-2.09528 + 4.70608i) q^{61} +(-2.02702 - 6.23851i) q^{62} +(0.897271 - 7.88637i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(2.56087 + 4.43556i) q^{65} +(3.69871 + 4.39540i) q^{66} +(-2.70908 + 4.69227i) q^{67} +(0.447807 - 4.26060i) q^{68} +(-9.89906 + 9.78812i) q^{69} +(-4.06511 + 1.82308i) q^{70} +(-9.86752 - 13.5815i) q^{71} +(-0.590623 - 2.94129i) q^{72} +(-3.10170 + 14.5924i) q^{73} +(4.23672 + 4.70535i) q^{74} +(3.13259 + 2.05952i) q^{75} +0.736768i q^{76} +(0.679594 - 8.74861i) q^{77} +(4.68044 + 2.41812i) q^{78} +(1.58877 + 0.166986i) q^{79} +(-1.25138 + 1.12675i) q^{80} +(4.67453 - 7.69082i) q^{81} +(2.68364 + 1.19484i) q^{82} +(0.791771 - 0.575255i) q^{83} +(-2.50711 + 3.83594i) q^{84} +(-6.86088 - 2.22924i) q^{85} +(6.85811 + 0.720816i) q^{86} +(8.36414 + 13.0399i) q^{87} +(-0.768808 - 3.22629i) q^{88} +(3.79817 - 2.19288i) q^{89} +(-5.05139 - 0.0569345i) q^{90} +(-2.50743 - 7.64668i) q^{91} +(7.64401 - 2.48369i) q^{92} +(-8.86969 + 7.10015i) q^{93} +(11.1737 - 1.17441i) q^{94} +(1.21354 + 0.257945i) q^{95} +(-0.457709 + 1.67048i) q^{96} +(-11.6994 - 8.50013i) q^{97} +(6.83907 - 1.49237i) q^{98} +(4.86057 - 8.68187i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} + O(q^{10}) \) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 + 0.994522i −0.0739128 + 0.703233i
\(3\) 1.67553 0.438853i 0.967369 0.253372i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) −0.684905 + 1.53832i −0.306299 + 0.687959i −0.999461 0.0328228i \(-0.989550\pi\)
0.693162 + 0.720782i \(0.256217\pi\)
\(6\) 0.261308 + 1.71223i 0.106678 + 0.699013i
\(7\) 1.54934 2.14465i 0.585597 0.810603i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) 2.61482 1.47062i 0.871606 0.490208i
\(10\) −1.45830 0.841952i −0.461156 0.266249i
\(11\) 2.83081 1.72816i 0.853521 0.521059i
\(12\) −1.73016 + 0.0808999i −0.499454 + 0.0233538i
\(13\) 1.78780 2.46070i 0.495847 0.682475i −0.485606 0.874178i \(-0.661401\pi\)
0.981453 + 0.191703i \(0.0614009\pi\)
\(14\) 1.97095 + 1.76503i 0.526760 + 0.471725i
\(15\) −0.472484 + 2.87808i −0.121995 + 0.743118i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) 0.447807 + 4.26060i 0.108609 + 1.03335i 0.904082 + 0.427359i \(0.140556\pi\)
−0.795473 + 0.605989i \(0.792778\pi\)
\(18\) 1.18924 + 2.75421i 0.280308 + 0.649175i
\(19\) −0.153183 0.720668i −0.0351425 0.165333i 0.957077 0.289834i \(-0.0936001\pi\)
−0.992219 + 0.124502i \(0.960267\pi\)
\(20\) 0.989774 1.36231i 0.221320 0.304621i
\(21\) 1.65479 4.27337i 0.361104 0.932525i
\(22\) 1.42279 + 2.99594i 0.303340 + 0.638737i
\(23\) −6.96058 + 4.01869i −1.45138 + 0.837955i −0.998560 0.0536463i \(-0.982916\pi\)
−0.452821 + 0.891601i \(0.649582\pi\)
\(24\) 0.100394 1.72914i 0.0204929 0.352959i
\(25\) 1.44831 + 1.60851i 0.289662 + 0.321703i
\(26\) 2.26034 + 2.03522i 0.443290 + 0.399140i
\(27\) 3.73582 3.61160i 0.718959 0.695052i
\(28\) −1.96138 + 1.77566i −0.370667 + 0.335568i
\(29\) 2.76393 + 8.50649i 0.513248 + 1.57962i 0.786447 + 0.617658i \(0.211918\pi\)
−0.273199 + 0.961958i \(0.588082\pi\)
\(30\) −2.81293 0.770737i −0.513568 0.140717i
\(31\) −5.99246 + 2.66801i −1.07628 + 0.479189i −0.866816 0.498628i \(-0.833838\pi\)
−0.209461 + 0.977817i \(0.567171\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 3.98470 4.13789i 0.693648 0.720314i
\(34\) −4.28407 −0.734712
\(35\) 2.23801 + 3.85227i 0.378294 + 0.651153i
\(36\) −2.86344 + 0.894836i −0.477239 + 0.149139i
\(37\) 4.23672 4.70535i 0.696512 0.773555i −0.286304 0.958139i \(-0.592427\pi\)
0.982817 + 0.184583i \(0.0590936\pi\)
\(38\) 0.732732 0.0770132i 0.118865 0.0124932i
\(39\) 1.91564 4.90756i 0.306747 0.785839i
\(40\) 1.25138 + 1.12675i 0.197861 + 0.178155i
\(41\) 0.907773 2.79384i 0.141770 0.436324i −0.854811 0.518939i \(-0.826327\pi\)
0.996582 + 0.0826150i \(0.0263272\pi\)
\(42\) 4.07699 + 2.09241i 0.629093 + 0.322866i
\(43\) 6.89588i 1.05161i −0.850604 0.525806i \(-0.823764\pi\)
0.850604 0.525806i \(-0.176236\pi\)
\(44\) −3.12825 + 1.10184i −0.471602 + 0.166108i
\(45\) 0.471392 + 5.02967i 0.0702709 + 0.749779i
\(46\) −3.26910 7.34252i −0.482002 1.08259i
\(47\) −2.33594 10.9898i −0.340733 1.60302i −0.731039 0.682336i \(-0.760964\pi\)
0.390306 0.920685i \(-0.372369\pi\)
\(48\) 1.70917 + 0.280589i 0.246698 + 0.0404995i
\(49\) −2.19907 6.64561i −0.314153 0.949372i
\(50\) −1.75109 + 1.27224i −0.247642 + 0.179922i
\(51\) 2.62009 + 6.94225i 0.366886 + 0.972110i
\(52\) −2.26034 + 2.03522i −0.313453 + 0.282235i
\(53\) −0.415379 0.932956i −0.0570567 0.128151i 0.882767 0.469811i \(-0.155678\pi\)
−0.939824 + 0.341659i \(0.889011\pi\)
\(54\) 3.20131 + 4.09287i 0.435643 + 0.556969i
\(55\) 0.719629 + 5.53832i 0.0970347 + 0.746787i
\(56\) −1.56091 2.13625i −0.208586 0.285468i
\(57\) −0.572929 1.14028i −0.0758863 0.151033i
\(58\) −8.74880 + 1.85961i −1.14877 + 0.244179i
\(59\) −1.40444 + 6.60737i −0.182843 + 0.860207i 0.787091 + 0.616837i \(0.211586\pi\)
−0.969934 + 0.243370i \(0.921747\pi\)
\(60\) 1.06055 2.71695i 0.136916 0.350757i
\(61\) −2.09528 + 4.70608i −0.268273 + 0.602552i −0.996574 0.0827059i \(-0.973644\pi\)
0.728301 + 0.685258i \(0.240310\pi\)
\(62\) −2.02702 6.23851i −0.257431 0.792292i
\(63\) 0.897271 7.88637i 0.113046 0.993590i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 2.56087 + 4.43556i 0.317637 + 0.550164i
\(66\) 3.69871 + 4.39540i 0.455280 + 0.541037i
\(67\) −2.70908 + 4.69227i −0.330967 + 0.573252i −0.982702 0.185195i \(-0.940708\pi\)
0.651735 + 0.758447i \(0.274042\pi\)
\(68\) 0.447807 4.26060i 0.0543046 0.516674i
\(69\) −9.89906 + 9.78812i −1.19171 + 1.17835i
\(70\) −4.06511 + 1.82308i −0.485873 + 0.217900i
\(71\) −9.86752 13.5815i −1.17106 1.61182i −0.656338 0.754467i \(-0.727896\pi\)
−0.514721 0.857358i \(-0.672104\pi\)
\(72\) −0.590623 2.94129i −0.0696056 0.346634i
\(73\) −3.10170 + 14.5924i −0.363027 + 1.70791i 0.295493 + 0.955345i \(0.404516\pi\)
−0.658520 + 0.752563i \(0.728817\pi\)
\(74\) 4.23672 + 4.70535i 0.492509 + 0.546986i
\(75\) 3.13259 + 2.05952i 0.361721 + 0.237813i
\(76\) 0.736768i 0.0845131i
\(77\) 0.679594 8.74861i 0.0774469 0.996996i
\(78\) 4.68044 + 2.41812i 0.529956 + 0.273798i
\(79\) 1.58877 + 0.166986i 0.178750 + 0.0187874i 0.193481 0.981104i \(-0.438022\pi\)
−0.0147303 + 0.999892i \(0.504689\pi\)
\(80\) −1.25138 + 1.12675i −0.139909 + 0.125975i
\(81\) 4.67453 7.69082i 0.519393 0.854536i
\(82\) 2.68364 + 1.19484i 0.296359 + 0.131947i
\(83\) 0.791771 0.575255i 0.0869081 0.0631424i −0.543483 0.839420i \(-0.682895\pi\)
0.630391 + 0.776278i \(0.282895\pi\)
\(84\) −2.50711 + 3.83594i −0.273548 + 0.418535i
\(85\) −6.86088 2.22924i −0.744167 0.241795i
\(86\) 6.85811 + 0.720816i 0.739529 + 0.0777276i
\(87\) 8.36414 + 13.0399i 0.896730 + 1.39803i
\(88\) −0.768808 3.22629i −0.0819552 0.343923i
\(89\) 3.79817 2.19288i 0.402605 0.232444i −0.285002 0.958527i \(-0.591994\pi\)
0.687608 + 0.726083i \(0.258661\pi\)
\(90\) −5.05139 0.0569345i −0.532463 0.00600142i
\(91\) −2.50743 7.64668i −0.262850 0.801590i
\(92\) 7.64401 2.48369i 0.796943 0.258942i
\(93\) −8.86969 + 7.10015i −0.919744 + 0.736251i
\(94\) 11.1737 1.17441i 1.15248 0.121131i
\(95\) 1.21354 + 0.257945i 0.124506 + 0.0264646i
\(96\) −0.457709 + 1.67048i −0.0467147 + 0.170493i
\(97\) −11.6994 8.50013i −1.18790 0.863058i −0.194857 0.980832i \(-0.562424\pi\)
−0.993040 + 0.117774i \(0.962424\pi\)
\(98\) 6.83907 1.49237i 0.690850 0.150752i
\(99\) 4.86057 8.68187i 0.488506 0.872561i
\(100\) −1.08223 1.87448i −0.108223 0.187448i
\(101\) −7.65077 + 3.40634i −0.761280 + 0.338944i −0.750389 0.660997i \(-0.770134\pi\)
−0.0108916 + 0.999941i \(0.503467\pi\)
\(102\) −7.17810 + 1.88008i −0.710737 + 0.186155i
\(103\) −9.09285 + 10.0986i −0.895945 + 0.995048i 0.104055 + 0.994572i \(0.466818\pi\)
−1.00000 0.000476377i \(0.999848\pi\)
\(104\) −1.78780 2.46070i −0.175308 0.241291i
\(105\) 5.44045 + 5.47245i 0.530933 + 0.534057i
\(106\) 0.971264 0.315583i 0.0943375 0.0306521i
\(107\) −6.92688 + 1.47235i −0.669646 + 0.142338i −0.530175 0.847888i \(-0.677874\pi\)
−0.139472 + 0.990226i \(0.544540\pi\)
\(108\) −4.40508 + 2.75595i −0.423879 + 0.265192i
\(109\) 0.286004 + 0.165125i 0.0273942 + 0.0158161i 0.513635 0.858009i \(-0.328299\pi\)
−0.486240 + 0.873825i \(0.661632\pi\)
\(110\) −5.58320 + 0.136775i −0.532337 + 0.0130409i
\(111\) 5.03380 9.74327i 0.477787 0.924790i
\(112\) 2.28770 1.32906i 0.216168 0.125585i
\(113\) 1.12733 + 0.366290i 0.106050 + 0.0344577i 0.361561 0.932348i \(-0.382244\pi\)
−0.255511 + 0.966806i \(0.582244\pi\)
\(114\) 1.19392 0.450599i 0.111821 0.0422025i
\(115\) −1.41471 13.4600i −0.131922 1.25516i
\(116\) −0.934929 8.89526i −0.0868060 0.825904i
\(117\) 1.05601 9.06346i 0.0976285 0.837917i
\(118\) −6.42437 2.08740i −0.591411 0.192161i
\(119\) 9.83132 + 5.64074i 0.901235 + 0.517086i
\(120\) 2.59121 + 1.33874i 0.236544 + 0.122209i
\(121\) 5.02694 9.78416i 0.456995 0.889469i
\(122\) −4.46128 2.57572i −0.403906 0.233195i
\(123\) 0.294920 5.07954i 0.0265920 0.458007i
\(124\) 6.41622 1.36381i 0.576193 0.122474i
\(125\) −11.4738 + 3.72807i −1.02625 + 0.333448i
\(126\) 7.74938 + 1.71671i 0.690370 + 0.152936i
\(127\) 10.5488 + 14.5192i 0.936053 + 1.28837i 0.957451 + 0.288596i \(0.0931884\pi\)
−0.0213977 + 0.999771i \(0.506812\pi\)
\(128\) 0.669131 0.743145i 0.0591433 0.0656853i
\(129\) −3.02628 11.5543i −0.266449 1.01730i
\(130\) −4.67895 + 2.08320i −0.410371 + 0.182709i
\(131\) −2.84964 4.93573i −0.248975 0.431237i 0.714267 0.699873i \(-0.246760\pi\)
−0.963242 + 0.268637i \(0.913427\pi\)
\(132\) −4.75794 + 3.21900i −0.414126 + 0.280178i
\(133\) −1.78291 0.788038i −0.154598 0.0683316i
\(134\) −4.38339 3.18472i −0.378667 0.275118i
\(135\) 2.99712 + 8.22050i 0.257951 + 0.707508i
\(136\) 4.19045 + 0.890708i 0.359328 + 0.0763776i
\(137\) 4.28222 0.450080i 0.365855 0.0384529i 0.0801825 0.996780i \(-0.474450\pi\)
0.285673 + 0.958327i \(0.407783\pi\)
\(138\) −8.69976 10.8680i −0.740573 0.925143i
\(139\) 0.651788 0.211779i 0.0552839 0.0179628i −0.281244 0.959636i \(-0.590747\pi\)
0.336528 + 0.941673i \(0.390747\pi\)
\(140\) −1.38818 4.23340i −0.117322 0.357788i
\(141\) −8.73683 17.3886i −0.735774 1.46438i
\(142\) 14.5385 8.39381i 1.22004 0.704393i
\(143\) 0.808449 10.0554i 0.0676059 0.840872i
\(144\) 2.98691 0.279940i 0.248909 0.0233283i
\(145\) −14.9788 1.57433i −1.24392 0.130741i
\(146\) −14.1882 4.61003i −1.17422 0.381529i
\(147\) −6.60106 10.1699i −0.544446 0.838796i
\(148\) −5.12244 + 3.72167i −0.421062 + 0.305919i
\(149\) 2.19393 + 0.976799i 0.179733 + 0.0800225i 0.494631 0.869103i \(-0.335303\pi\)
−0.314897 + 0.949126i \(0.601970\pi\)
\(150\) −2.37568 + 2.90015i −0.193974 + 0.236797i
\(151\) 11.5100 10.3637i 0.936671 0.843383i −0.0511951 0.998689i \(-0.516303\pi\)
0.987866 + 0.155306i \(0.0496364\pi\)
\(152\) −0.732732 0.0770132i −0.0594324 0.00624660i
\(153\) 7.43667 + 10.4821i 0.601219 + 0.847430i
\(154\) 8.62965 + 1.59035i 0.695397 + 0.128154i
\(155\) 11.0457i 0.887210i
\(156\) −2.89412 + 4.40204i −0.231715 + 0.352445i
\(157\) −8.81047 9.78501i −0.703152 0.780929i 0.280723 0.959789i \(-0.409426\pi\)
−0.983875 + 0.178860i \(0.942759\pi\)
\(158\) −0.332143 + 1.56261i −0.0264239 + 0.124315i
\(159\) −1.10541 1.38091i −0.0876648 0.109513i
\(160\) −0.989774 1.36231i −0.0782485 0.107700i
\(161\) −2.16563 + 21.1544i −0.170675 + 1.66720i
\(162\) 7.16007 + 5.45283i 0.562548 + 0.428415i
\(163\) −0.707047 + 6.72710i −0.0553802 + 0.526907i 0.931302 + 0.364248i \(0.118674\pi\)
−0.986682 + 0.162659i \(0.947993\pi\)
\(164\) −1.46881 + 2.54405i −0.114695 + 0.198657i
\(165\) 3.63627 + 8.96382i 0.283083 + 0.697833i
\(166\) 0.489341 + 0.847564i 0.0379802 + 0.0657837i
\(167\) 4.04114 + 2.93606i 0.312713 + 0.227199i 0.733060 0.680164i \(-0.238092\pi\)
−0.420347 + 0.907363i \(0.638092\pi\)
\(168\) −3.55286 2.89434i −0.274109 0.223303i
\(169\) 1.15842 + 3.56524i 0.0891091 + 0.274249i
\(170\) 2.93418 6.59028i 0.225042 0.505452i
\(171\) −1.46038 1.65914i −0.111678 0.126878i
\(172\) −1.43373 + 6.74519i −0.109321 + 0.514316i
\(173\) −8.96840 + 1.90629i −0.681855 + 0.144933i −0.535802 0.844344i \(-0.679991\pi\)
−0.146054 + 0.989277i \(0.546657\pi\)
\(174\) −13.8428 + 6.95528i −1.04942 + 0.527278i
\(175\) 5.69363 0.613987i 0.430398 0.0464130i
\(176\) 3.28898 0.427357i 0.247916 0.0322133i
\(177\) 0.546478 + 11.6872i 0.0410758 + 0.878464i
\(178\) 1.78385 + 4.00658i 0.133705 + 0.300306i
\(179\) −2.77711 + 2.50052i −0.207571 + 0.186898i −0.766358 0.642413i \(-0.777933\pi\)
0.558788 + 0.829311i \(0.311267\pi\)
\(180\) 0.584637 5.01777i 0.0435762 0.374002i
\(181\) −15.4878 + 11.2525i −1.15120 + 0.836393i −0.988640 0.150306i \(-0.951974\pi\)
−0.162557 + 0.986699i \(0.551974\pi\)
\(182\) 7.86689 1.69439i 0.583133 0.125597i
\(183\) −1.44544 + 8.80471i −0.106850 + 0.650863i
\(184\) 1.67107 + 7.86175i 0.123193 + 0.579576i
\(185\) 4.33660 + 9.74016i 0.318833 + 0.716111i
\(186\) −6.13412 9.56327i −0.449775 0.701213i
\(187\) 8.63065 + 11.2871i 0.631135 + 0.825392i
\(188\) 11.2353i 0.819417i
\(189\) −1.95755 13.6076i −0.142391 0.989811i
\(190\) −0.383381 + 1.17992i −0.0278134 + 0.0856007i
\(191\) 0.211095 + 0.190071i 0.0152743 + 0.0137531i 0.676732 0.736229i \(-0.263395\pi\)
−0.661458 + 0.749982i \(0.730062\pi\)
\(192\) −1.61349 0.629814i −0.116443 0.0454529i
\(193\) 13.2398 1.39156i 0.953023 0.100167i 0.384763 0.923016i \(-0.374283\pi\)
0.568260 + 0.822849i \(0.307617\pi\)
\(194\) 9.67649 10.7468i 0.694732 0.771578i
\(195\) 6.23739 + 6.30808i 0.446669 + 0.451731i
\(196\) 0.769317 + 6.95760i 0.0549512 + 0.496971i
\(197\) −6.13736 −0.437269 −0.218634 0.975807i \(-0.570160\pi\)
−0.218634 + 0.975807i \(0.570160\pi\)
\(198\) 8.12624 + 5.74145i 0.577507 + 0.408027i
\(199\) −1.40678 + 2.43661i −0.0997238 + 0.172727i −0.911570 0.411144i \(-0.865129\pi\)
0.811847 + 0.583871i \(0.198463\pi\)
\(200\) 1.97734 0.880368i 0.139819 0.0622514i
\(201\) −2.47994 + 9.05094i −0.174922 + 0.638404i
\(202\) −2.58796 7.96492i −0.182088 0.560410i
\(203\) 22.5257 + 7.25181i 1.58100 + 0.508977i
\(204\) −1.11946 7.33530i −0.0783779 0.513573i
\(205\) 3.67608 + 3.30996i 0.256749 + 0.231178i
\(206\) −9.09285 10.0986i −0.633529 0.703605i
\(207\) −12.2907 + 20.7445i −0.854259 + 1.44184i
\(208\) 2.63410 1.52080i 0.182642 0.105448i
\(209\) −1.67906 1.77535i −0.116143 0.122803i
\(210\) −6.01115 + 4.83862i −0.414809 + 0.333896i
\(211\) 9.39063 12.9251i 0.646477 0.889800i −0.352463 0.935826i \(-0.614656\pi\)
0.998940 + 0.0460261i \(0.0146557\pi\)
\(212\) 0.212329 + 0.998931i 0.0145828 + 0.0686068i
\(213\) −22.4936 18.4258i −1.54124 1.26252i
\(214\) −0.740231 7.04283i −0.0506012 0.481438i
\(215\) 10.6081 + 4.72303i 0.723466 + 0.322108i
\(216\) −2.28040 4.66902i −0.155162 0.317687i
\(217\) −3.56241 + 16.9854i −0.241832 + 1.15304i
\(218\) −0.194116 + 0.267177i −0.0131472 + 0.0180955i
\(219\) 1.20690 + 25.8112i 0.0815544 + 1.74416i
\(220\) 0.447578 5.56691i 0.0301757 0.375321i
\(221\) 11.2846 + 6.51520i 0.759088 + 0.438259i
\(222\) 9.16372 + 6.02468i 0.615028 + 0.404350i
\(223\) 5.91805 18.2139i 0.396302 1.21969i −0.531641 0.846970i \(-0.678424\pi\)
0.927943 0.372722i \(-0.121576\pi\)
\(224\) 1.08265 + 2.41410i 0.0723377 + 0.161299i
\(225\) 6.15259 + 2.07605i 0.410172 + 0.138403i
\(226\) −0.482121 + 1.08286i −0.0320702 + 0.0720309i
\(227\) 0.279265 + 0.0593597i 0.0185355 + 0.00393984i 0.217170 0.976134i \(-0.430317\pi\)
−0.198635 + 0.980074i \(0.563651\pi\)
\(228\) 0.323333 + 1.23448i 0.0214132 + 0.0817553i
\(229\) −2.39377 + 22.7752i −0.158185 + 1.50503i 0.571136 + 0.820855i \(0.306503\pi\)
−0.729321 + 0.684172i \(0.760164\pi\)
\(230\) 13.5342 0.892418
\(231\) −2.70067 14.9568i −0.177691 0.984086i
\(232\) 8.94425 0.587219
\(233\) −0.588320 + 5.59749i −0.0385421 + 0.366704i 0.958203 + 0.286089i \(0.0923552\pi\)
−0.996745 + 0.0806152i \(0.974312\pi\)
\(234\) 8.90343 + 1.99762i 0.582035 + 0.130588i
\(235\) 18.5057 + 3.93351i 1.20718 + 0.256594i
\(236\) 2.74750 6.17099i 0.178847 0.401697i
\(237\) 2.73532 0.417444i 0.177678 0.0271159i
\(238\) −6.63749 + 9.18784i −0.430245 + 0.595559i
\(239\) −5.44336 + 16.7529i −0.352101 + 1.08366i 0.605570 + 0.795792i \(0.292945\pi\)
−0.957671 + 0.287865i \(0.907055\pi\)
\(240\) −1.60226 + 2.43708i −0.103425 + 0.157313i
\(241\) 17.6831 + 10.2093i 1.13907 + 0.657641i 0.946200 0.323584i \(-0.104888\pi\)
0.192868 + 0.981225i \(0.438221\pi\)
\(242\) 9.20511 + 6.02213i 0.591727 + 0.387117i
\(243\) 4.45719 14.9377i 0.285929 0.958251i
\(244\) 3.02794 4.16761i 0.193844 0.266804i
\(245\) 11.7292 + 1.16873i 0.749354 + 0.0746674i
\(246\) 5.02089 + 0.824261i 0.320120 + 0.0525529i
\(247\) −2.04721 0.911475i −0.130261 0.0579958i
\(248\) 0.685661 + 6.52363i 0.0435395 + 0.414251i
\(249\) 1.07419 1.31133i 0.0680737 0.0831021i
\(250\) −2.50830 11.8006i −0.158639 0.746338i
\(251\) −2.59894 + 3.57713i −0.164043 + 0.225786i −0.883123 0.469141i \(-0.844564\pi\)
0.719080 + 0.694927i \(0.244564\pi\)
\(252\) −2.51733 + 7.52749i −0.158577 + 0.474187i
\(253\) −12.7591 + 23.4051i −0.802159 + 1.47147i
\(254\) −15.5423 + 8.97333i −0.975209 + 0.563037i
\(255\) −12.4739 0.724240i −0.781148 0.0453537i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) 4.34163 + 3.90922i 0.270823 + 0.243850i 0.793340 0.608779i \(-0.208340\pi\)
−0.522517 + 0.852629i \(0.675007\pi\)
\(258\) 11.8073 1.80195i 0.735091 0.112184i
\(259\) −3.52722 16.3765i −0.219171 1.01759i
\(260\) −1.58271 4.87107i −0.0981553 0.302091i
\(261\) 19.7370 + 18.1782i 1.22169 + 1.12520i
\(262\) 5.20656 2.31811i 0.321662 0.143213i
\(263\) 12.7571 22.0959i 0.786634 1.36249i −0.141385 0.989955i \(-0.545155\pi\)
0.928018 0.372535i \(-0.121511\pi\)
\(264\) −2.70403 5.06836i −0.166421 0.311936i
\(265\) 1.71968 0.105639
\(266\) 0.970086 1.69078i 0.0594798 0.103668i
\(267\) 5.40161 5.34107i 0.330573 0.326868i
\(268\) 3.62546 4.02648i 0.221460 0.245957i
\(269\) −27.1376 + 2.85228i −1.65461 + 0.173907i −0.885317 0.464989i \(-0.846058\pi\)
−0.769294 + 0.638895i \(0.779392\pi\)
\(270\) −8.48875 + 2.12142i −0.516609 + 0.129106i
\(271\) −4.42176 3.98137i −0.268603 0.241851i 0.523812 0.851834i \(-0.324510\pi\)
−0.792414 + 0.609983i \(0.791176\pi\)
\(272\) −1.32385 + 4.07439i −0.0802702 + 0.247046i
\(273\) −7.55704 11.7119i −0.457373 0.708835i
\(274\) 4.30581i 0.260124i
\(275\) 6.87965 + 2.05048i 0.414859 + 0.123649i
\(276\) 11.7178 7.51609i 0.705329 0.452416i
\(277\) −5.47769 12.3031i −0.329122 0.739221i 0.670875 0.741570i \(-0.265919\pi\)
−0.999997 + 0.00234982i \(0.999252\pi\)
\(278\) 0.142488 + 0.670354i 0.00854587 + 0.0402052i
\(279\) −11.7455 + 15.7890i −0.703187 + 0.945264i
\(280\) 4.35532 0.938060i 0.260280 0.0560598i
\(281\) −3.34114 + 2.42748i −0.199316 + 0.144811i −0.682966 0.730450i \(-0.739310\pi\)
0.483651 + 0.875261i \(0.339310\pi\)
\(282\) 18.2065 6.87137i 1.08418 0.409184i
\(283\) 15.5805 14.0287i 0.926162 0.833920i −0.0602544 0.998183i \(-0.519191\pi\)
0.986417 + 0.164263i \(0.0525245\pi\)
\(284\) 6.82814 + 15.3363i 0.405176 + 0.910040i
\(285\) 2.14652 0.100368i 0.127149 0.00594530i
\(286\) 9.91578 + 1.85509i 0.586332 + 0.109694i
\(287\) −4.58536 6.27547i −0.270665 0.370429i
\(288\) −0.0338110 + 2.99981i −0.00199233 + 0.176765i
\(289\) −1.32368 + 0.281357i −0.0778634 + 0.0165504i
\(290\) 3.13141 14.7321i 0.183883 0.865101i
\(291\) −23.3331 9.10792i −1.36781 0.533916i
\(292\) 6.06785 13.6286i 0.355094 0.797554i
\(293\) −0.343411 1.05691i −0.0200623 0.0617453i 0.940524 0.339727i \(-0.110335\pi\)
−0.960586 + 0.277981i \(0.910335\pi\)
\(294\) 10.8041 5.50186i 0.630111 0.320875i
\(295\) −9.20236 6.68591i −0.535782 0.389269i
\(296\) −3.16584 5.48339i −0.184011 0.318716i
\(297\) 4.33399 16.6798i 0.251483 0.967862i
\(298\) −1.20078 + 2.07980i −0.0695591 + 0.120480i
\(299\) −2.55535 + 24.3125i −0.147780 + 1.40603i
\(300\) −2.63594 2.66582i −0.152186 0.153911i
\(301\) −14.7893 10.6841i −0.852440 0.615821i
\(302\) 9.10376 + 12.5303i 0.523863 + 0.721035i
\(303\) −11.3242 + 9.06500i −0.650560 + 0.520771i
\(304\) 0.153183 0.720668i 0.00878563 0.0413331i
\(305\) −5.80440 6.44644i −0.332359 0.369122i
\(306\) −11.2021 + 6.30025i −0.640379 + 0.360162i
\(307\) 10.4908i 0.598744i 0.954136 + 0.299372i \(0.0967772\pi\)
−0.954136 + 0.299372i \(0.903223\pi\)
\(308\) −2.48368 + 8.41613i −0.141521 + 0.479554i
\(309\) −10.8036 + 20.9110i −0.614593 + 1.18959i
\(310\) 10.9852 + 1.15459i 0.623915 + 0.0655761i
\(311\) −0.329054 + 0.296281i −0.0186589 + 0.0168006i −0.678407 0.734686i \(-0.737330\pi\)
0.659748 + 0.751487i \(0.270663\pi\)
\(312\) −4.07541 3.33840i −0.230724 0.189000i
\(313\) −1.88878 0.840939i −0.106760 0.0475327i 0.352662 0.935751i \(-0.385277\pi\)
−0.459422 + 0.888218i \(0.651943\pi\)
\(314\) 10.6524 7.73939i 0.601147 0.436759i
\(315\) 11.5172 + 6.78171i 0.648923 + 0.382106i
\(316\) −1.51933 0.493661i −0.0854691 0.0277706i
\(317\) 7.32802 + 0.770206i 0.411583 + 0.0432591i 0.308058 0.951368i \(-0.400321\pi\)
0.103525 + 0.994627i \(0.466988\pi\)
\(318\) 1.48889 0.955011i 0.0834928 0.0535543i
\(319\) 22.5247 + 19.3037i 1.26114 + 1.08080i
\(320\) 1.45830 0.841952i 0.0815216 0.0470665i
\(321\) −10.9601 + 5.50685i −0.611731 + 0.307363i
\(322\) −20.8121 4.36499i −1.15981 0.243252i
\(323\) 3.00188 0.975370i 0.167029 0.0542711i
\(324\) −6.17139 + 6.55087i −0.342855 + 0.363937i
\(325\) 6.54736 0.688156i 0.363182 0.0381720i
\(326\) −6.61634 1.40635i −0.366445 0.0778904i
\(327\) 0.551675 + 0.151158i 0.0305077 + 0.00835905i
\(328\) −2.37658 1.72669i −0.131225 0.0953403i
\(329\) −27.1884 12.0171i −1.49894 0.662525i
\(330\) −9.29481 + 2.67937i −0.511663 + 0.147495i
\(331\) 1.40308 + 2.43021i 0.0771204 + 0.133576i 0.902006 0.431723i \(-0.142094\pi\)
−0.824886 + 0.565299i \(0.808761\pi\)
\(332\) −0.894071 + 0.398066i −0.0490685 + 0.0218467i
\(333\) 4.15844 18.5343i 0.227881 1.01567i
\(334\) −3.34239 + 3.71210i −0.182887 + 0.203117i
\(335\) −5.36276 7.38120i −0.292999 0.403278i
\(336\) 3.24986 3.23085i 0.177294 0.176258i
\(337\) 6.85817 2.22835i 0.373588 0.121386i −0.116204 0.993225i \(-0.537073\pi\)
0.489792 + 0.871839i \(0.337073\pi\)
\(338\) −3.66680 + 0.779402i −0.199448 + 0.0423939i
\(339\) 2.04962 + 0.119001i 0.111320 + 0.00646327i
\(340\) 6.24747 + 3.60698i 0.338817 + 0.195616i
\(341\) −12.3527 + 17.9085i −0.668939 + 0.969802i
\(342\) 1.80270 1.27895i 0.0974789 0.0691576i
\(343\) −17.6596 5.58008i −0.953531 0.301296i
\(344\) −6.55838 2.13095i −0.353604 0.114893i
\(345\) −8.27736 21.9319i −0.445638 1.18077i
\(346\) −0.958397 9.11854i −0.0515237 0.490216i
\(347\) −3.17224 30.1819i −0.170295 1.62025i −0.662013 0.749492i \(-0.730298\pi\)
0.491718 0.870754i \(-0.336369\pi\)
\(348\) −5.47021 14.4940i −0.293234 0.776960i
\(349\) 8.05541 + 2.61736i 0.431196 + 0.140104i 0.516570 0.856245i \(-0.327208\pi\)
−0.0853739 + 0.996349i \(0.527208\pi\)
\(350\) 0.0154767 + 5.72662i 0.000827262 + 0.306101i
\(351\) −2.20814 15.6496i −0.117862 0.835312i
\(352\) 0.0812247 + 3.31563i 0.00432929 + 0.176724i
\(353\) 2.65929 + 1.53534i 0.141539 + 0.0817179i 0.569097 0.822270i \(-0.307293\pi\)
−0.427558 + 0.903988i \(0.640626\pi\)
\(354\) −11.6803 0.678162i −0.620801 0.0360439i
\(355\) 27.6510 5.87740i 1.46756 0.311940i
\(356\) −4.17110 + 1.35527i −0.221068 + 0.0718292i
\(357\) 18.9481 + 5.13675i 1.00284 + 0.271865i
\(358\) −2.19653 3.02327i −0.116090 0.159785i
\(359\) 3.12050 3.46567i 0.164694 0.182911i −0.655149 0.755500i \(-0.727394\pi\)
0.819843 + 0.572589i \(0.194061\pi\)
\(360\) 4.92917 + 1.10593i 0.259790 + 0.0582878i
\(361\) 16.8615 7.50721i 0.887446 0.395116i
\(362\) −9.57196 16.5791i −0.503091 0.871380i
\(363\) 4.12900 18.5998i 0.216716 0.976235i
\(364\) 0.862798 + 8.00091i 0.0452229 + 0.419362i
\(365\) −20.3234 14.7658i −1.06378 0.772878i
\(366\) −8.60539 2.35786i −0.449811 0.123247i
\(367\) 15.8256 + 3.36383i 0.826089 + 0.175591i 0.601510 0.798865i \(-0.294566\pi\)
0.224579 + 0.974456i \(0.427899\pi\)
\(368\) −7.99335 + 0.840135i −0.416682 + 0.0437951i
\(369\) −1.73502 8.64036i −0.0903217 0.449799i
\(370\) −10.1401 + 3.29472i −0.527159 + 0.171284i
\(371\) −2.64443 0.554626i −0.137292 0.0287947i
\(372\) 10.1521 5.10088i 0.526360 0.264468i
\(373\) 6.68078 3.85715i 0.345918 0.199716i −0.316968 0.948436i \(-0.602665\pi\)
0.662886 + 0.748721i \(0.269332\pi\)
\(374\) −12.1274 + 7.40355i −0.627092 + 0.382828i
\(375\) −17.5887 + 11.2818i −0.908275 + 0.582590i
\(376\) −11.1737 1.17441i −0.576241 0.0605654i
\(377\) 25.8733 + 8.40674i 1.33254 + 0.432969i
\(378\) 13.7377 0.524439i 0.706592 0.0269742i
\(379\) −20.1495 + 14.6394i −1.03501 + 0.751978i −0.969305 0.245861i \(-0.920929\pi\)
−0.0657038 + 0.997839i \(0.520929\pi\)
\(380\) −1.13339 0.504616i −0.0581415 0.0258863i
\(381\) 24.0466 + 19.6980i 1.23194 + 1.00916i
\(382\) −0.211095 + 0.190071i −0.0108006 + 0.00972489i
\(383\) −4.63384 0.487037i −0.236778 0.0248864i −0.0146040 0.999893i \(-0.504649\pi\)
−0.222174 + 0.975007i \(0.571315\pi\)
\(384\) 0.795019 1.53881i 0.0405706 0.0785272i
\(385\) 12.9927 + 7.03740i 0.662171 + 0.358659i
\(386\) 13.3127i 0.677601i
\(387\) −10.1412 18.0315i −0.515509 0.916591i
\(388\) 9.67649 + 10.7468i 0.491249 + 0.545588i
\(389\) −6.97493 + 32.8144i −0.353643 + 1.66376i 0.337717 + 0.941248i \(0.390345\pi\)
−0.691360 + 0.722511i \(0.742988\pi\)
\(390\) −6.92551 + 5.54384i −0.350687 + 0.280723i
\(391\) −20.2390 27.8566i −1.02353 1.40877i
\(392\) −6.99990 + 0.0378358i −0.353548 + 0.00191100i
\(393\) −6.94073 7.01940i −0.350114 0.354082i
\(394\) 0.641528 6.10374i 0.0323197 0.307502i
\(395\) −1.34504 + 2.32967i −0.0676761 + 0.117218i
\(396\) −6.55942 + 7.48158i −0.329623 + 0.375963i
\(397\) −11.1549 19.3208i −0.559848 0.969685i −0.997509 0.0705449i \(-0.977526\pi\)
0.437661 0.899140i \(-0.355807\pi\)
\(398\) −2.27621 1.65377i −0.114096 0.0828958i
\(399\) −3.33316 0.537946i −0.166867 0.0269310i
\(400\) 0.668857 + 2.05853i 0.0334429 + 0.102927i
\(401\) 12.8841 28.9381i 0.643401 1.44510i −0.237304 0.971436i \(-0.576264\pi\)
0.880704 0.473666i \(-0.157070\pi\)
\(402\) −8.74213 3.41244i −0.436018 0.170197i
\(403\) −4.14815 + 19.5155i −0.206634 + 0.972137i
\(404\) 8.19180 1.74122i 0.407557 0.0866290i
\(405\) 8.62935 + 12.4584i 0.428796 + 0.619064i
\(406\) −9.56667 + 21.6443i −0.474786 + 1.07419i
\(407\) 3.86174 20.6417i 0.191420 1.02317i
\(408\) 7.41213 0.346581i 0.366955 0.0171583i
\(409\) 3.68655 + 8.28012i 0.182288 + 0.409426i 0.981457 0.191680i \(-0.0613936\pi\)
−0.799169 + 0.601106i \(0.794727\pi\)
\(410\) −3.67608 + 3.30996i −0.181549 + 0.163467i
\(411\) 6.97749 2.63339i 0.344174 0.129896i
\(412\) 10.9938 7.98744i 0.541624 0.393513i
\(413\) 11.9946 + 13.2491i 0.590214 + 0.651947i
\(414\) −19.3462 14.3917i −0.950812 0.707314i
\(415\) 0.342640 + 1.61199i 0.0168195 + 0.0791297i
\(416\) 1.23713 + 2.77863i 0.0606551 + 0.136234i
\(417\) 0.999152 0.640881i 0.0489287 0.0313841i
\(418\) 1.94113 1.48429i 0.0949438 0.0725988i
\(419\) 22.9780i 1.12255i −0.827630 0.561274i \(-0.810312\pi\)
0.827630 0.561274i \(-0.189688\pi\)
\(420\) −4.18377 6.48400i −0.204147 0.316387i
\(421\) 6.48091 19.9462i 0.315860 0.972118i −0.659539 0.751671i \(-0.729248\pi\)
0.975399 0.220447i \(-0.0707516\pi\)
\(422\) 11.8727 + 10.6902i 0.577954 + 0.520392i
\(423\) −22.2699 25.3009i −1.08280 1.23017i
\(424\) −1.01565 + 0.106749i −0.0493245 + 0.00518421i
\(425\) −6.20467 + 6.89098i −0.300971 + 0.334262i
\(426\) 20.6761 20.4444i 1.00176 0.990533i
\(427\) 6.84660 + 11.7850i 0.331330 + 0.570315i
\(428\) 7.08163 0.342303
\(429\) −3.05824 17.2029i −0.147653 0.830563i
\(430\) −5.80600 + 10.0563i −0.279990 + 0.484957i
\(431\) 16.8453 7.50001i 0.811409 0.361263i 0.0412777 0.999148i \(-0.486857\pi\)
0.770132 + 0.637885i \(0.220191\pi\)
\(432\) 4.88181 1.77986i 0.234876 0.0856336i
\(433\) 7.67426 + 23.6190i 0.368802 + 1.13505i 0.947566 + 0.319560i \(0.103535\pi\)
−0.578765 + 0.815495i \(0.696465\pi\)
\(434\) −16.5200 5.31835i −0.792985 0.255289i
\(435\) −25.7883 + 3.93563i −1.23645 + 0.188699i
\(436\) −0.245423 0.220980i −0.0117536 0.0105830i
\(437\) 3.96238 + 4.40067i 0.189546 + 0.210513i
\(438\) −25.7959 1.49772i −1.23258 0.0715638i
\(439\) −29.7576 + 17.1806i −1.42025 + 0.819984i −0.996320 0.0857092i \(-0.972684\pi\)
−0.423934 + 0.905693i \(0.639351\pi\)
\(440\) 5.48963 + 1.02703i 0.261708 + 0.0489616i
\(441\) −15.5234 14.1430i −0.739207 0.673478i
\(442\) −7.65907 + 10.5418i −0.364305 + 0.501423i
\(443\) 3.66851 + 17.2590i 0.174296 + 0.819999i 0.975221 + 0.221234i \(0.0710084\pi\)
−0.800925 + 0.598765i \(0.795658\pi\)
\(444\) −6.94954 + 8.48377i −0.329811 + 0.402622i
\(445\) 0.771962 + 7.34473i 0.0365945 + 0.348173i
\(446\) 17.4955 + 7.78950i 0.828436 + 0.368843i
\(447\) 4.10467 + 0.673848i 0.194144 + 0.0318719i
\(448\) −2.51404 + 0.824379i −0.118777 + 0.0389483i
\(449\) 8.09545 11.1424i 0.382048 0.525844i −0.574078 0.818801i \(-0.694639\pi\)
0.956126 + 0.292957i \(0.0946393\pi\)
\(450\) −2.70779 + 5.90188i −0.127647 + 0.278217i
\(451\) −2.25846 9.47759i −0.106347 0.446282i
\(452\) −1.02653 0.592670i −0.0482841 0.0278769i
\(453\) 14.7373 22.4158i 0.692418 1.05319i
\(454\) −0.0882257 + 0.271531i −0.00414064 + 0.0127436i
\(455\) 13.4804 + 1.38003i 0.631972 + 0.0646966i
\(456\) −1.26151 + 0.192523i −0.0590758 + 0.00901572i
\(457\) 2.68689 6.03485i 0.125687 0.282298i −0.839732 0.543002i \(-0.817288\pi\)
0.965419 + 0.260703i \(0.0839544\pi\)
\(458\) −22.4002 4.76131i −1.04669 0.222481i
\(459\) 17.0605 + 14.2996i 0.796316 + 0.667446i
\(460\) −1.41471 + 13.4600i −0.0659611 + 0.627578i
\(461\) −5.54733 −0.258365 −0.129182 0.991621i \(-0.541235\pi\)
−0.129182 + 0.991621i \(0.541235\pi\)
\(462\) 15.1572 1.12246i 0.705176 0.0522216i
\(463\) 35.3665 1.64362 0.821811 0.569760i \(-0.192964\pi\)
0.821811 + 0.569760i \(0.192964\pi\)
\(464\) −0.934929 + 8.89526i −0.0434030 + 0.412952i
\(465\) −4.84742 18.5074i −0.224794 0.858259i
\(466\) −5.50533 1.17019i −0.255030 0.0542082i
\(467\) 10.7784 24.2086i 0.498764 1.12024i −0.472304 0.881436i \(-0.656577\pi\)
0.971067 0.238806i \(-0.0767559\pi\)
\(468\) −2.91734 + 8.64585i −0.134854 + 0.399654i
\(469\) 5.86599 + 13.0800i 0.270866 + 0.603977i
\(470\) −5.84633 + 17.9932i −0.269671 + 0.829962i
\(471\) −19.0564 12.5286i −0.878073 0.577288i
\(472\) 5.84999 + 3.37749i 0.269268 + 0.155462i
\(473\) −11.9172 19.5209i −0.547952 0.897573i
\(474\) 0.129239 + 2.76397i 0.00593616 + 0.126953i
\(475\) 0.937347 1.29015i 0.0430084 0.0591960i
\(476\) −8.44370 7.56152i −0.387016 0.346582i
\(477\) −2.45817 1.82864i −0.112552 0.0837278i
\(478\) −16.0922 7.16469i −0.736039 0.327706i
\(479\) 1.94812 + 18.5351i 0.0890118 + 0.846891i 0.944377 + 0.328865i \(0.106666\pi\)
−0.855365 + 0.518026i \(0.826667\pi\)
\(480\) −2.25625 1.84822i −0.102983 0.0843595i
\(481\) −4.00404 18.8375i −0.182569 0.858918i
\(482\) −12.0018 + 16.5191i −0.546667 + 0.752422i
\(483\) 5.65507 + 36.3952i 0.257315 + 1.65604i
\(484\) −6.95133 + 8.52520i −0.315970 + 0.387509i
\(485\) 21.0890 12.1757i 0.957600 0.552871i
\(486\) 14.3899 + 5.99419i 0.652740 + 0.271902i
\(487\) 8.87444 + 9.85606i 0.402139 + 0.446621i 0.909869 0.414896i \(-0.136182\pi\)
−0.507730 + 0.861516i \(0.669515\pi\)
\(488\) 3.82827 + 3.44699i 0.173298 + 0.156038i
\(489\) 1.76753 + 11.5818i 0.0799303 + 0.523746i
\(490\) −2.38837 + 11.5428i −0.107895 + 0.521452i
\(491\) 12.1208 + 37.3040i 0.547004 + 1.68351i 0.716176 + 0.697920i \(0.245891\pi\)
−0.169172 + 0.985587i \(0.554109\pi\)
\(492\) −1.34457 + 4.90722i −0.0606179 + 0.221235i
\(493\) −35.0051 + 15.5853i −1.57655 + 0.701925i
\(494\) 1.12047 1.94072i 0.0504125 0.0873170i
\(495\) 10.0265 + 13.4234i 0.450657 + 0.603336i
\(496\) −6.55956 −0.294533
\(497\) −44.4157 + 0.120037i −1.99232 + 0.00538440i
\(498\) 1.19186 + 1.20537i 0.0534086 + 0.0540140i
\(499\) −1.48350 + 1.64759i −0.0664105 + 0.0737563i −0.775434 0.631428i \(-0.782469\pi\)
0.709024 + 0.705184i \(0.249136\pi\)
\(500\) 11.9982 1.26106i 0.536575 0.0563963i
\(501\) 8.05955 + 3.14600i 0.360074 + 0.140553i
\(502\) −3.28587 2.95861i −0.146656 0.132049i
\(503\) 2.73992 8.43261i 0.122167 0.375991i −0.871207 0.490915i \(-0.836662\pi\)
0.993374 + 0.114924i \(0.0366624\pi\)
\(504\) −7.22312 3.29038i −0.321743 0.146565i
\(505\) 14.1024i 0.627548i
\(506\) −21.9432 15.1357i −0.975495 0.672865i
\(507\) 3.50558 + 5.46531i 0.155688 + 0.242723i
\(508\) −7.29957 16.3951i −0.323866 0.727415i
\(509\) 4.97012 + 23.3826i 0.220297 + 1.03642i 0.939747 + 0.341871i \(0.111061\pi\)
−0.719450 + 0.694544i \(0.755606\pi\)
\(510\) 2.02415 12.3299i 0.0896311 0.545977i
\(511\) 26.4900 + 29.2607i 1.17185 + 1.29442i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) −3.17502 2.13905i −0.140181 0.0944415i
\(514\) −4.34163 + 3.90922i −0.191501 + 0.172428i
\(515\) −9.30722 20.9043i −0.410125 0.921156i
\(516\) 0.557876 + 11.9310i 0.0245591 + 0.525232i
\(517\) −25.6046 27.0730i −1.12609 1.19067i
\(518\) 16.6555 1.79608i 0.731800 0.0789154i
\(519\) −14.1903 + 7.12986i −0.622884 + 0.312966i
\(520\) 5.00983 1.06487i 0.219695 0.0466977i
\(521\) 2.00086 9.41331i 0.0876593 0.412405i −0.912336 0.409442i \(-0.865724\pi\)
0.999996 0.00296298i \(-0.000943146\pi\)
\(522\) −20.1417 + 17.7287i −0.881579 + 0.775966i
\(523\) −11.9719 + 26.8894i −0.523496 + 1.17579i 0.437497 + 0.899220i \(0.355865\pi\)
−0.960993 + 0.276572i \(0.910802\pi\)
\(524\) 1.76118 + 5.42035i 0.0769374 + 0.236789i
\(525\) 9.27042 3.52742i 0.404594 0.153949i
\(526\) 20.6413 + 14.9968i 0.900005 + 0.653892i
\(527\) −14.0508 24.3367i −0.612063 1.06012i
\(528\) 5.32324 2.15943i 0.231664 0.0939770i
\(529\) 20.7998 36.0263i 0.904338 1.56636i
\(530\) −0.179756 + 1.71026i −0.00780809 + 0.0742890i
\(531\) 6.04460 + 19.3425i 0.262313 + 0.839392i
\(532\) 1.58011 + 1.14151i 0.0685065 + 0.0494906i
\(533\) −5.25187 7.22858i −0.227484 0.313105i
\(534\) 4.74719 + 5.93031i 0.205431 + 0.256630i
\(535\) 2.47930 11.6642i 0.107190 0.504287i
\(536\) 3.62546 + 4.02648i 0.156596 + 0.173918i
\(537\) −3.55577 + 5.40844i −0.153443 + 0.233391i
\(538\) 27.2871i 1.17643i
\(539\) −17.7098 15.0121i −0.762815 0.646617i
\(540\) −1.22248 8.66400i −0.0526073 0.372839i
\(541\) 11.6192 + 1.22123i 0.499549 + 0.0525047i 0.350953 0.936393i \(-0.385858\pi\)
0.148596 + 0.988898i \(0.452524\pi\)
\(542\) 4.42176 3.98137i 0.189931 0.171014i
\(543\) −21.0120 + 25.6508i −0.901713 + 1.10078i
\(544\) −3.91369 1.74249i −0.167798 0.0747086i
\(545\) −0.449901 + 0.326872i −0.0192716 + 0.0140017i
\(546\) 12.4376 6.29142i 0.532282 0.269248i
\(547\) −37.6447 12.2315i −1.60957 0.522981i −0.640122 0.768273i \(-0.721116\pi\)
−0.969449 + 0.245292i \(0.921116\pi\)
\(548\) −4.28222 0.450080i −0.182928 0.0192265i
\(549\) 1.44209 + 15.3869i 0.0615471 + 0.656697i
\(550\) −2.75837 + 6.62763i −0.117617 + 0.282603i
\(551\) 5.70697 3.29492i 0.243125 0.140368i
\(552\) 6.25007 + 12.4393i 0.266021 + 0.529450i
\(553\) 2.81968 3.14864i 0.119905 0.133894i
\(554\) 12.8083 4.16166i 0.544171 0.176812i
\(555\) 11.5406 + 14.4168i 0.489872 + 0.611960i
\(556\) −0.681576 + 0.0716365i −0.0289053 + 0.00303806i
\(557\) −21.4025 4.54925i −0.906855 0.192758i −0.269204 0.963083i \(-0.586761\pi\)
−0.637651 + 0.770325i \(0.720094\pi\)
\(558\) −14.4748 13.3316i −0.612766 0.564371i
\(559\) −16.9687 12.3285i −0.717699 0.521439i
\(560\) 0.477667 + 4.42951i 0.0201851 + 0.187181i
\(561\) 19.4143 + 15.1242i 0.819672 + 0.638546i
\(562\) −2.06494 3.57658i −0.0871041 0.150869i
\(563\) 30.3916 13.5312i 1.28085 0.570272i 0.350370 0.936611i \(-0.386056\pi\)
0.930481 + 0.366339i \(0.119389\pi\)
\(564\) 4.93063 + 18.8251i 0.207617 + 0.792678i
\(565\) −1.33558 + 1.48332i −0.0561885 + 0.0624036i
\(566\) 12.3233 + 16.9615i 0.517985 + 0.712945i
\(567\) −9.25169 21.9410i −0.388534 0.921434i
\(568\) −15.9660 + 5.18766i −0.669918 + 0.217669i
\(569\) 12.7533 2.71079i 0.534645 0.113642i 0.0673258 0.997731i \(-0.478553\pi\)
0.467319 + 0.884089i \(0.345220\pi\)
\(570\) −0.124554 + 2.14525i −0.00521698 + 0.0898546i
\(571\) −24.9189 14.3869i −1.04282 0.602074i −0.122192 0.992507i \(-0.538992\pi\)
−0.920632 + 0.390432i \(0.872326\pi\)
\(572\) −2.88141 + 9.66755i −0.120478 + 0.404221i
\(573\) 0.437110 + 0.225831i 0.0182606 + 0.00943421i
\(574\) 6.72039 3.90427i 0.280504 0.162961i
\(575\) −16.5452 5.37586i −0.689983 0.224189i
\(576\) −2.97984 0.347191i −0.124160 0.0144663i
\(577\) −0.247461 2.35443i −0.0103019 0.0980162i 0.988163 0.153410i \(-0.0490254\pi\)
−0.998465 + 0.0553934i \(0.982359\pi\)
\(578\) −0.141453 1.34584i −0.00588368 0.0559794i
\(579\) 21.5731 8.14194i 0.896545 0.338367i
\(580\) 14.3241 + 4.65419i 0.594776 + 0.193255i
\(581\) −0.00699790 2.58934i −0.000290322 0.107424i
\(582\) 11.4970 22.2532i 0.476566 0.922426i
\(583\) −2.78815 1.92318i −0.115473 0.0796499i
\(584\) 12.9197 + 7.45919i 0.534621 + 0.308663i
\(585\) 13.2193 + 7.83211i 0.546549 + 0.323818i
\(586\) 1.08702 0.231052i 0.0449042 0.00954468i
\(587\) 21.6789 7.04391i 0.894785 0.290733i 0.174702 0.984621i \(-0.444104\pi\)
0.720083 + 0.693888i \(0.244104\pi\)
\(588\) 4.34238 + 11.3201i 0.179077 + 0.466831i
\(589\) 2.84069 + 3.90988i 0.117049 + 0.161104i
\(590\) 7.61119 8.45308i 0.313348 0.348008i
\(591\) −10.2833 + 2.69340i −0.423000 + 0.110791i
\(592\) 5.78428 2.57533i 0.237732 0.105845i
\(593\) −23.8150 41.2487i −0.977964 1.69388i −0.669786 0.742554i \(-0.733614\pi\)
−0.308177 0.951329i \(-0.599719\pi\)
\(594\) 16.1354 + 6.05376i 0.662045 + 0.248389i
\(595\) −15.4108 + 11.2604i −0.631781 + 0.461630i
\(596\) −1.94290 1.41160i −0.0795841 0.0578212i
\(597\) −1.28779 + 4.69999i −0.0527057 + 0.192358i
\(598\) −23.9122 5.08270i −0.977844 0.207847i
\(599\) 18.9661 1.99342i 0.774936 0.0814490i 0.291199 0.956663i \(-0.405946\pi\)
0.483737 + 0.875214i \(0.339279\pi\)
\(600\) 2.92674 2.34285i 0.119484 0.0956463i
\(601\) 11.5061 3.73855i 0.469342 0.152498i −0.0647911 0.997899i \(-0.520638\pi\)
0.534133 + 0.845400i \(0.320638\pi\)
\(602\) 12.1715 13.5915i 0.496072 0.553947i
\(603\) −0.183194 + 16.2535i −0.00746022 + 0.661892i
\(604\) −13.4132 + 7.74412i −0.545776 + 0.315104i
\(605\) 11.6082 + 14.4343i 0.471941 + 0.586837i
\(606\) −7.83164 12.2097i −0.318138 0.495987i
\(607\) 15.2038 + 1.59798i 0.617103 + 0.0648601i 0.407922 0.913017i \(-0.366254\pi\)
0.209181 + 0.977877i \(0.432920\pi\)
\(608\) 0.700708 + 0.227674i 0.0284175 + 0.00923339i
\(609\) 40.9251 + 2.26516i 1.65837 + 0.0917890i
\(610\) 7.01785 5.09877i 0.284144 0.206443i
\(611\) −31.2187 13.8995i −1.26297 0.562312i
\(612\) −5.09481 11.7992i −0.205945 0.476956i
\(613\) 19.1882 17.2772i 0.775005 0.697818i −0.183460 0.983027i \(-0.558730\pi\)
0.958465 + 0.285209i \(0.0920631\pi\)
\(614\) −10.4334 1.09659i −0.421057 0.0442549i
\(615\) 7.61198 + 3.93269i 0.306945 + 0.158581i
\(616\) −8.11042 3.34980i −0.326778 0.134967i
\(617\) 17.6513i 0.710613i 0.934750 + 0.355307i \(0.115624\pi\)
−0.934750 + 0.355307i \(0.884376\pi\)
\(618\) −19.6672 12.9302i −0.791130 0.520128i
\(619\) −3.76918 4.18610i −0.151496 0.168254i 0.662620 0.748956i \(-0.269445\pi\)
−0.814116 + 0.580702i \(0.802778\pi\)
\(620\) −2.29652 + 10.8043i −0.0922306 + 0.433911i
\(621\) −11.4896 + 40.1519i −0.461062 + 1.61124i
\(622\) −0.260263 0.358221i −0.0104356 0.0143633i
\(623\) 1.18171 11.5433i 0.0473444 0.462472i
\(624\) 3.74611 3.70412i 0.149964 0.148284i
\(625\) 0.992262 9.44074i 0.0396905 0.377630i
\(626\) 1.03376 1.79053i 0.0413175 0.0715640i
\(627\) −3.59243 2.23779i −0.143468 0.0893689i
\(628\) 6.58352 + 11.4030i 0.262711 + 0.455029i
\(629\) 21.9449 + 15.9439i 0.874999 + 0.635724i
\(630\) −7.94844 + 10.7453i −0.316674 + 0.428102i
\(631\) 5.09850 + 15.6916i 0.202968 + 0.624672i 0.999791 + 0.0204585i \(0.00651261\pi\)
−0.796822 + 0.604214i \(0.793487\pi\)
\(632\) 0.649770 1.45941i 0.0258465 0.0580521i
\(633\) 10.0621 25.7775i 0.399932 1.02456i
\(634\) −1.53197 + 7.20737i −0.0608425 + 0.286241i
\(635\) −29.5601 + 6.28319i −1.17306 + 0.249341i
\(636\) 0.794148 + 1.58056i 0.0314900 + 0.0626732i
\(637\) −20.2843 6.46978i −0.803695 0.256342i
\(638\) −21.5525 + 20.3835i −0.853270 + 0.806991i
\(639\) −45.7750 21.0017i −1.81083 0.830813i
\(640\) 0.684905 + 1.53832i 0.0270733 + 0.0608075i
\(641\) −15.7408 + 14.1731i −0.621723 + 0.559802i −0.918637 0.395102i \(-0.870709\pi\)
0.296914 + 0.954904i \(0.404043\pi\)
\(642\) −4.33105 11.4756i −0.170933 0.452907i
\(643\) 30.1474 21.9033i 1.18890 0.863783i 0.195748 0.980654i \(-0.437286\pi\)
0.993147 + 0.116871i \(0.0372864\pi\)
\(644\) 6.51654 20.2418i 0.256788 0.797640i
\(645\) 19.8469 + 3.25820i 0.781472 + 0.128291i
\(646\) 0.656245 + 3.08739i 0.0258196 + 0.121472i
\(647\) 14.4493 + 32.4536i 0.568059 + 1.27588i 0.937938 + 0.346802i \(0.112732\pi\)
−0.369880 + 0.929080i \(0.620601\pi\)
\(648\) −5.86990 6.82234i −0.230591 0.268007i
\(649\) 7.44288 + 21.1313i 0.292159 + 0.829476i
\(650\) 6.58343i 0.258223i
\(651\) 1.48516 + 30.0230i 0.0582080 + 1.17669i
\(652\) 2.09024 6.43310i 0.0818601 0.251939i
\(653\) −10.1007 9.09469i −0.395270 0.355903i 0.447399 0.894334i \(-0.352350\pi\)
−0.842669 + 0.538432i \(0.819017\pi\)
\(654\) −0.207995 + 0.532852i −0.00813327 + 0.0208362i
\(655\) 9.54448 1.00317i 0.372934 0.0391969i
\(656\) 1.96565 2.18307i 0.0767456 0.0852347i
\(657\) 13.3495 + 42.7178i 0.520813 + 1.66658i
\(658\) 14.7932 25.7833i 0.576701 1.00514i
\(659\) 3.19114 0.124309 0.0621546 0.998067i \(-0.480203\pi\)
0.0621546 + 0.998067i \(0.480203\pi\)
\(660\) −1.69312 9.52396i −0.0659047 0.370720i
\(661\) −3.83242 + 6.63794i −0.149064 + 0.258186i −0.930882 0.365321i \(-0.880959\pi\)
0.781818 + 0.623507i \(0.214293\pi\)
\(662\) −2.56356 + 1.14137i −0.0996356 + 0.0443606i
\(663\) 21.7670 + 5.96412i 0.845360 + 0.231627i
\(664\) −0.302429 0.930782i −0.0117365 0.0361214i
\(665\) 2.43338 2.20297i 0.0943626 0.0854274i
\(666\) 17.9980 + 6.07302i 0.697410 + 0.235325i
\(667\) −53.4235 48.1027i −2.06857 1.86255i
\(668\) −3.34239 3.71210i −0.129321 0.143625i
\(669\) 1.92267 33.1151i 0.0743348 1.28030i
\(670\) 7.90133 4.56184i 0.305255 0.176239i
\(671\) 2.20151 + 16.9430i 0.0849883 + 0.654077i
\(672\) 2.87345 + 3.56977i 0.110846 + 0.137707i
\(673\) 26.6253 36.6466i 1.02633 1.41262i 0.118660 0.992935i \(-0.462140\pi\)
0.907669 0.419686i \(-0.137860\pi\)
\(674\) 1.49927 + 7.05353i 0.0577498 + 0.271692i
\(675\) 11.2199 + 0.778402i 0.431855 + 0.0299607i
\(676\) −0.391848 3.72818i −0.0150711 0.143392i
\(677\) 18.5505 + 8.25924i 0.712955 + 0.317428i 0.730970 0.682410i \(-0.239068\pi\)
−0.0180147 + 0.999838i \(0.505735\pi\)
\(678\) −0.332593 + 2.02595i −0.0127732 + 0.0778062i
\(679\) −36.3563 + 11.9216i −1.39523 + 0.457509i
\(680\) −4.24026 + 5.83622i −0.162607 + 0.223809i
\(681\) 0.493968 0.0230973i 0.0189289 0.000885090i
\(682\) −16.5192 14.1570i −0.632554 0.542101i
\(683\) −30.8382 17.8045i −1.17999 0.681269i −0.223980 0.974594i \(-0.571905\pi\)
−0.956013 + 0.293325i \(0.905238\pi\)
\(684\) 1.08351 + 1.92651i 0.0414290 + 0.0736621i
\(685\) −2.24055 + 6.89571i −0.0856070 + 0.263471i
\(686\) 7.39545 16.9796i 0.282359 0.648285i
\(687\) 5.98412 + 39.2111i 0.228308 + 1.49600i
\(688\) 2.80481 6.29970i 0.106932 0.240174i
\(689\) −3.03834 0.645819i −0.115752 0.0246037i
\(690\) 22.6770 5.93951i 0.863297 0.226113i
\(691\) −1.11922 + 10.6487i −0.0425772 + 0.405095i 0.952389 + 0.304885i \(0.0986181\pi\)
−0.994966 + 0.100210i \(0.968049\pi\)
\(692\) 9.16876 0.348544
\(693\) −11.0889 23.8754i −0.421232 0.906953i
\(694\) 30.3481 1.15200
\(695\) −0.120629 + 1.14771i −0.00457572 + 0.0435351i
\(696\) 14.9864 3.92521i 0.568057 0.148785i
\(697\) 12.3099 + 2.61656i 0.466272 + 0.0991091i
\(698\) −3.44504 + 7.73770i −0.130397 + 0.292876i
\(699\) 1.47072 + 9.63696i 0.0556279 + 0.364503i
\(700\) −5.69687 0.583203i −0.215321 0.0220430i
\(701\) 8.31361 25.5867i 0.314001 0.966394i −0.662163 0.749360i \(-0.730361\pi\)
0.976164 0.217035i \(-0.0696385\pi\)
\(702\) 15.7946 0.560218i 0.596130 0.0211441i
\(703\) −4.03999 2.33249i −0.152371 0.0879715i
\(704\) −3.30596 0.265798i −0.124598 0.0100176i
\(705\) 32.7331 1.53056i 1.23280 0.0576441i
\(706\) −1.80490 + 2.48423i −0.0679283 + 0.0934953i
\(707\) −4.54825 + 21.6858i −0.171054 + 0.815580i
\(708\) 1.89537 11.5454i 0.0712324 0.433904i
\(709\) 22.4624 + 10.0009i 0.843594 + 0.375592i 0.782584 0.622545i \(-0.213901\pi\)
0.0610102 + 0.998137i \(0.480568\pi\)
\(710\) 2.95489 + 28.1139i 0.110895 + 1.05510i
\(711\) 4.39991 1.89984i 0.165010 0.0712497i
\(712\) −0.911849 4.28991i −0.0341730 0.160771i
\(713\) 30.9890 42.6528i 1.16055 1.59736i
\(714\) −7.08923 + 18.3074i −0.265308 + 0.685137i
\(715\) 14.9147 + 8.13063i 0.557778 + 0.304068i
\(716\) 3.23631 1.86848i 0.120947 0.0698285i
\(717\) −1.76845 + 30.4589i −0.0660441 + 1.13751i
\(718\) 3.12050 + 3.46567i 0.116456 + 0.129338i
\(719\) −7.90862 7.12096i −0.294942 0.265567i 0.508352 0.861149i \(-0.330255\pi\)
−0.803294 + 0.595582i \(0.796921\pi\)
\(720\) −1.61511 + 4.78656i −0.0601917 + 0.178385i
\(721\) 7.57012 + 35.1473i 0.281926 + 1.30895i
\(722\) 5.70358 + 17.5538i 0.212265 + 0.653285i
\(723\) 34.1090 + 9.34580i 1.26853 + 0.347574i
\(724\) 17.4888 7.78654i 0.649968 0.289384i
\(725\) −9.67977 + 16.7659i −0.359498 + 0.622668i
\(726\) 18.0663 + 6.05058i 0.670503 + 0.224558i
\(727\) −2.10153 −0.0779416 −0.0389708 0.999240i \(-0.512408\pi\)
−0.0389708 + 0.999240i \(0.512408\pi\)
\(728\) −8.04727 + 0.0217484i −0.298252 + 0.000806049i
\(729\) 0.912742 26.9846i 0.0338053 0.999428i
\(730\) 16.8093 18.6686i 0.622140 0.690957i
\(731\) 29.3806 3.08803i 1.08668 0.114215i
\(732\) 3.24445 8.31178i 0.119918 0.307212i
\(733\) 15.7336 + 14.1666i 0.581133 + 0.523254i 0.906429 0.422358i \(-0.138797\pi\)
−0.325296 + 0.945612i \(0.605464\pi\)
\(734\) −4.99963 + 15.3873i −0.184540 + 0.567955i
\(735\) 20.1656 3.18916i 0.743820 0.117634i
\(736\) 8.03738i 0.296262i
\(737\) 0.440089 + 17.9646i 0.0162109 + 0.661736i
\(738\) 8.77439 0.822355i 0.322990 0.0302713i
\(739\) 17.8861 + 40.1729i 0.657951 + 1.47778i 0.866195 + 0.499706i \(0.166559\pi\)
−0.208244 + 0.978077i \(0.566775\pi\)
\(740\) −2.21674 10.4289i −0.0814890 0.383376i
\(741\) −3.83016 0.628784i −0.140705 0.0230990i
\(742\) 0.828006 2.57197i 0.0303970 0.0944200i
\(743\) 36.2210 26.3161i 1.32882 0.965445i 0.329044 0.944315i \(-0.393274\pi\)
0.999777 0.0211299i \(-0.00672636\pi\)
\(744\) 4.01176 + 10.6296i 0.147078 + 0.389702i
\(745\) −3.00526 + 2.70595i −0.110104 + 0.0991384i
\(746\) 3.13769 + 7.04736i 0.114879 + 0.258022i
\(747\) 1.22435 2.66858i 0.0447967 0.0976383i
\(748\) −6.09533 12.8348i −0.222867 0.469288i
\(749\) −7.57442 + 17.1369i −0.276763 + 0.626169i
\(750\) −9.38149 18.6716i −0.342563 0.681790i
\(751\) −49.2241 + 10.4629i −1.79621 + 0.381797i −0.980478 0.196627i \(-0.937001\pi\)
−0.815736 + 0.578424i \(0.803668\pi\)
\(752\) 2.33594 10.9898i 0.0851831 0.400755i
\(753\) −2.78477 + 7.13414i −0.101483 + 0.259983i
\(754\) −11.0652 + 24.8528i −0.402970 + 0.905085i
\(755\) 8.05939 + 24.8042i 0.293311 + 0.902719i
\(756\) −0.914416 + 13.7173i −0.0332570 + 0.498893i
\(757\) 1.26409 + 0.918418i 0.0459443 + 0.0333805i 0.610520 0.792001i \(-0.290960\pi\)
−0.564576 + 0.825381i \(0.690960\pi\)
\(758\) −12.4531 21.5693i −0.452315 0.783433i
\(759\) −11.1069 + 44.8154i −0.403156 + 1.62670i
\(760\) 0.620323 1.07443i 0.0225015 0.0389737i
\(761\) −3.28783 + 31.2816i −0.119184 + 1.13396i 0.757481 + 0.652857i \(0.226430\pi\)
−0.876665 + 0.481101i \(0.840237\pi\)
\(762\) −22.1036 + 21.8559i −0.800729 + 0.791755i
\(763\) 0.797253 0.357545i 0.0288625 0.0129440i
\(764\) −0.166964 0.229807i −0.00604056 0.00831412i
\(765\) −21.2183 + 4.26073i −0.767150 + 0.154047i
\(766\) 0.968737 4.55755i 0.0350019 0.164671i
\(767\) 13.7479 + 15.2686i 0.496408 + 0.551317i
\(768\) 1.44728 + 0.951513i 0.0522243 + 0.0343348i
\(769\) 1.65697i 0.0597518i −0.999554 0.0298759i \(-0.990489\pi\)
0.999554 0.0298759i \(-0.00951121\pi\)
\(770\) −8.35696 + 12.1859i −0.301164 + 0.439151i
\(771\) 8.99010 + 4.64469i 0.323771 + 0.167274i
\(772\) −13.2398 1.39156i −0.476512 0.0500834i
\(773\) 38.6444