Properties

Label 462.2.bc.b.107.16
Level $462$
Weight $2$
Character 462.107
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 107.16
Character \(\chi\) \(=\) 462.107
Dual form 462.2.bc.b.95.16

$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

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

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 0.693162 0.720782i \(-0.256217\pi\)
−0.999461 + 0.0328228i \(0.989550\pi\)
\(6\) 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 0.981453 0.191703i \(-0.0614009\pi\)
−0.485606 + 0.874178i \(0.661401\pi\)
\(14\) 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 −0.795473 0.605989i \(-0.792778\pi\)
0.904082 0.427359i \(-0.140556\pi\)
\(18\) 1.18924 2.75421i 0.280308 0.649175i
\(19\) −0.153183 + 0.720668i −0.0351425 + 0.165333i −0.992219 0.124502i \(-0.960267\pi\)
0.957077 + 0.289834i \(0.0936001\pi\)
\(20\) 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 −0.452821 0.891601i \(-0.649582\pi\)
−0.998560 + 0.0536463i \(0.982916\pi\)
\(24\) 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 −0.273199 0.961958i \(-0.588082\pi\)
0.786447 0.617658i \(-0.211918\pi\)
\(30\) −2.81293 + 0.770737i −0.513568 + 0.140717i
\(31\) −5.99246 2.66801i −1.07628 0.479189i −0.209461 0.977817i \(-0.567171\pi\)
−0.866816 + 0.498628i \(0.833838\pi\)
\(32\) −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 0.982817 0.184583i \(-0.0590936\pi\)
−0.286304 + 0.958139i \(0.592427\pi\)
\(38\) 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 0.996582 0.0826150i \(-0.0263272\pi\)
−0.854811 + 0.518939i \(0.826327\pi\)
\(42\) 4.07699 2.09241i 0.629093 0.322866i
\(43\) 6.89588i 1.05161i 0.850604 + 0.525806i \(0.176236\pi\)
−0.850604 + 0.525806i \(0.823764\pi\)
\(44\) −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 0.390306 + 0.920685i \(0.372369\pi\)
−0.731039 + 0.682336i \(0.760964\pi\)
\(48\) 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 −0.939824 0.341659i \(-0.889011\pi\)
0.882767 + 0.469811i \(0.155678\pi\)
\(54\) 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 −0.969934 0.243370i \(-0.921747\pi\)
0.787091 0.616837i \(-0.211586\pi\)
\(60\) 1.06055 + 2.71695i 0.136916 + 0.350757i
\(61\) −2.09528 4.70608i −0.268273 0.602552i 0.728301 0.685258i \(-0.240310\pi\)
−0.996574 + 0.0827059i \(0.973644\pi\)
\(62\) −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 0.651735 0.758447i \(-0.274042\pi\)
−0.982702 + 0.185195i \(0.940708\pi\)
\(68\) 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 −0.514721 + 0.857358i \(0.672104\pi\)
−0.656338 + 0.754467i \(0.727896\pi\)
\(72\) −0.590623 + 2.94129i −0.0696056 + 0.346634i
\(73\) −3.10170 14.5924i −0.363027 1.70791i −0.658520 0.752563i \(-0.728817\pi\)
0.295493 0.955345i \(-0.404516\pi\)
\(74\) 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 −0.0147303 0.999892i \(-0.504689\pi\)
0.193481 + 0.981104i \(0.438022\pi\)
\(80\) −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 0.630391 0.776278i \(-0.282895\pi\)
−0.543483 + 0.839420i \(0.682895\pi\)
\(84\) −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 0.687608 0.726083i \(-0.258661\pi\)
−0.285002 + 0.958527i \(0.591994\pi\)
\(90\) −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 −0.993040 0.117774i \(-0.962424\pi\)
−0.194857 + 0.980832i \(0.562424\pi\)
\(98\) 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 −0.0108916 0.999941i \(-0.503467\pi\)
−0.750389 + 0.660997i \(0.770134\pi\)
\(102\) −7.17810 1.88008i −0.710737 0.186155i
\(103\) −9.09285 10.0986i −0.895945 0.995048i −1.00000 0.000476377i \(-0.999848\pi\)
0.104055 0.994572i \(-0.466818\pi\)
\(104\) −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 −0.139472 0.990226i \(-0.544540\pi\)
−0.530175 + 0.847888i \(0.677874\pi\)
\(108\) −4.40508 2.75595i −0.423879 0.265192i
\(109\) 0.286004 0.165125i 0.0273942 0.0158161i −0.486240 0.873825i \(-0.661632\pi\)
0.513635 + 0.858009i \(0.328299\pi\)
\(110\) −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 −0.255511 0.966806i \(-0.582244\pi\)
0.361561 + 0.932348i \(0.382244\pi\)
\(114\) 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 −0.0213977 0.999771i \(-0.506812\pi\)
0.957451 0.288596i \(-0.0931884\pi\)
\(128\) 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 −0.963242 0.268637i \(-0.913427\pi\)
0.714267 + 0.699873i \(0.246760\pi\)
\(132\) −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 0.285673 0.958327i \(-0.407783\pi\)
0.0801825 + 0.996780i \(0.474450\pi\)
\(138\) −8.69976 + 10.8680i −0.740573 + 0.925143i
\(139\) 0.651788 + 0.211779i 0.0552839 + 0.0179628i 0.336528 0.941673i \(-0.390747\pi\)
−0.281244 + 0.959636i \(0.590747\pi\)
\(140\) −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 −0.314897 0.949126i \(-0.601970\pi\)
0.494631 + 0.869103i \(0.335303\pi\)
\(150\) −2.37568 2.90015i −0.193974 0.236797i
\(151\) 11.5100 + 10.3637i 0.936671 + 0.843383i 0.987866 0.155306i \(-0.0496364\pi\)
−0.0511951 + 0.998689i \(0.516303\pi\)
\(152\) −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 −0.983875 0.178860i \(-0.942759\pi\)
0.280723 + 0.959789i \(0.409426\pi\)
\(158\) −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 −0.986682 0.162659i \(-0.947993\pi\)
0.931302 0.364248i \(-0.118674\pi\)
\(164\) −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 −0.420347 0.907363i \(-0.638092\pi\)
0.733060 + 0.680164i \(0.238092\pi\)
\(168\) −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 −0.146054 0.989277i \(-0.546657\pi\)
−0.535802 + 0.844344i \(0.679991\pi\)
\(174\) −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 0.558788 0.829311i \(-0.311267\pi\)
−0.766358 + 0.642413i \(0.777933\pi\)
\(180\) 0.584637 + 5.01777i 0.0435762 + 0.374002i
\(181\) −15.4878 11.2525i −1.15120 0.836393i −0.162557 0.986699i \(-0.551974\pi\)
−0.988640 + 0.150306i \(0.951974\pi\)
\(182\) 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 −0.661458 0.749982i \(-0.730062\pi\)
0.676732 + 0.736229i \(0.263395\pi\)
\(192\) −1.61349 + 0.629814i −0.116443 + 0.0454529i
\(193\) 13.2398 + 1.39156i 0.953023 + 0.100167i 0.568260 0.822849i \(-0.307617\pi\)
0.384763 + 0.923016i \(0.374283\pi\)
\(194\) 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 0.811847 0.583871i \(-0.198463\pi\)
−0.911570 + 0.411144i \(0.865129\pi\)
\(200\) 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 0.998940 0.0460261i \(-0.0146557\pi\)
−0.352463 + 0.935826i \(0.614656\pi\)
\(212\) 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 0.927943 + 0.372722i \(0.121576\pi\)
−0.531641 + 0.846970i \(0.678424\pi\)
\(224\) 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 −0.198635 0.980074i \(-0.563651\pi\)
0.217170 + 0.976134i \(0.430317\pi\)
\(228\) 0.323333 1.23448i 0.0214132 0.0817553i
\(229\) −2.39377 22.7752i −0.158185 1.50503i −0.729321 0.684172i \(-0.760164\pi\)
0.571136 0.820855i \(-0.306503\pi\)
\(230\) 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 −0.996745 0.0806152i \(-0.974312\pi\)
0.958203 0.286089i \(-0.0923552\pi\)
\(234\) 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 −0.957671 0.287865i \(-0.907055\pi\)
0.605570 0.795792i \(-0.292945\pi\)
\(240\) −1.60226 2.43708i −0.103425 0.157313i
\(241\) 17.6831 10.2093i 1.13907 0.657641i 0.192868 0.981225i \(-0.438221\pi\)
0.946200 + 0.323584i \(0.104888\pi\)
\(242\) 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 0.719080 0.694927i \(-0.244564\pi\)
−0.883123 + 0.469141i \(0.844564\pi\)
\(252\) −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 −0.522517 0.852629i \(-0.675007\pi\)
0.793340 + 0.608779i \(0.208340\pi\)
\(258\) 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 0.928018 + 0.372535i \(0.121511\pi\)
−0.141385 + 0.989955i \(0.545155\pi\)
\(264\) −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 −0.769294 0.638895i \(-0.779392\pi\)
−0.885317 + 0.464989i \(0.846058\pi\)
\(270\) −8.48875 2.12142i −0.516609 0.129106i
\(271\) −4.42176 + 3.98137i −0.268603 + 0.241851i −0.792414 0.609983i \(-0.791176\pi\)
0.523812 + 0.851834i \(0.324510\pi\)
\(272\) −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 −0.999997 0.00234982i \(-0.999252\pi\)
0.670875 + 0.741570i \(0.265919\pi\)
\(278\) 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 0.483651 0.875261i \(-0.339310\pi\)
−0.682966 + 0.730450i \(0.739310\pi\)
\(282\) 18.2065 + 6.87137i 1.08418 + 0.409184i
\(283\) 15.5805 + 14.0287i 0.926162 + 0.833920i 0.986417 0.164263i \(-0.0525245\pi\)
−0.0602544 + 0.998183i \(0.519191\pi\)
\(284\) 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 −0.960586 0.277981i \(-0.910335\pi\)
0.940524 + 0.339727i \(0.110335\pi\)
\(294\) 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 \(-0.903223\pi\)
0.954136 0.299372i \(-0.0967772\pi\)
\(308\) −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 0.659748 0.751487i \(-0.270663\pi\)
−0.678407 + 0.734686i \(0.737330\pi\)
\(312\) −4.07541 + 3.33840i −0.230724 + 0.189000i
\(313\) −1.88878 + 0.840939i −0.106760 + 0.0475327i −0.459422 0.888218i \(-0.651943\pi\)
0.352662 + 0.935751i \(0.385277\pi\)
\(314\) 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 0.103525 0.994627i \(-0.466988\pi\)
0.308058 + 0.951368i \(0.400321\pi\)
\(318\) 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 −0.824886 0.565299i \(-0.808761\pi\)
0.902006 + 0.431723i \(0.142094\pi\)
\(332\) −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 0.489792 0.871839i \(-0.337073\pi\)
−0.116204 + 0.993225i \(0.537073\pi\)
\(338\) −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 0.491718 + 0.870754i \(0.336369\pi\)
−0.662013 + 0.749492i \(0.730298\pi\)
\(348\) −5.47021 + 14.4940i −0.293234 + 0.776960i
\(349\) 8.05541 2.61736i 0.431196 0.140104i −0.0853739 0.996349i \(-0.527208\pi\)
0.516570 + 0.856245i \(0.327208\pi\)
\(350\) 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 −0.427558 0.903988i \(-0.640626\pi\)
0.569097 + 0.822270i \(0.307293\pi\)
\(354\) −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 0.819843 0.572589i \(-0.194061\pi\)
−0.655149 + 0.755500i \(0.727394\pi\)
\(360\) 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 0.224579 0.974456i \(-0.427899\pi\)
0.601510 + 0.798865i \(0.294566\pi\)
\(368\) −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 0.662886 0.748721i \(-0.269332\pi\)
−0.316968 + 0.948436i \(0.602665\pi\)
\(374\) −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 −0.0657038 0.997839i \(-0.520929\pi\)
−0.969305 + 0.245861i \(0.920929\pi\)
\(380\) −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 −0.222174 0.975007i \(-0.571315\pi\)
−0.0146040 + 0.999893i \(0.504649\pi\)
\(384\) 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 −0.691360 0.722511i \(-0.742988\pi\)
0.337717 0.941248i \(-0.390345\pi\)
\(390\) −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 0.437661 + 0.899140i \(0.355807\pi\)
−0.997509 + 0.0705449i \(0.977526\pi\)
\(398\) −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 0.880704 + 0.473666i \(0.157070\pi\)
−0.237304 + 0.971436i \(0.576264\pi\)
\(402\) −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 −0.799169 0.601106i \(-0.794727\pi\)
0.981457 + 0.191680i \(0.0613936\pi\)
\(410\) −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 \(0.189688\pi\)
−0.827630 + 0.561274i \(0.810312\pi\)
\(420\) −4.18377 + 6.48400i −0.204147 + 0.316387i
\(421\) 6.48091 + 19.9462i 0.315860 + 0.972118i 0.975399 + 0.220447i \(0.0707516\pi\)
−0.659539 + 0.751671i \(0.729248\pi\)
\(422\) 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 0.770132 0.637885i \(-0.220191\pi\)
0.0412777 + 0.999148i \(0.486857\pi\)
\(432\) 4.88181 + 1.77986i 0.234876 + 0.0856336i
\(433\) 7.67426 23.6190i 0.368802 1.13505i −0.578765 0.815495i \(-0.696465\pi\)
0.947566 0.319560i \(-0.103535\pi\)
\(434\) −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 −0.423934 0.905693i \(-0.639351\pi\)
−0.996320 + 0.0857092i \(0.972684\pi\)
\(440\) 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 −0.800925 0.598765i \(-0.795658\pi\)
0.975221 0.221234i \(-0.0710084\pi\)
\(444\) −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 0.956126 0.292957i \(-0.0946393\pi\)
−0.574078 + 0.818801i \(0.694639\pi\)
\(450\) −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 0.965419 0.260703i \(-0.0839544\pi\)
−0.839732 + 0.543002i \(0.817288\pi\)
\(458\) −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 0.971067 + 0.238806i \(0.0767559\pi\)
−0.472304 + 0.881436i \(0.656577\pi\)
\(468\) −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 −0.855365 0.518026i \(-0.826667\pi\)
0.944377 0.328865i \(-0.106666\pi\)
\(480\) −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 −0.507730 0.861516i \(-0.669515\pi\)
0.909869 + 0.414896i \(0.136182\pi\)
\(488\) 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 −0.169172 0.985587i \(-0.554109\pi\)
0.716176 0.697920i \(-0.245891\pi\)
\(492\) −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 0.709024 0.705184i \(-0.249136\pi\)
−0.775434 + 0.631428i \(0.782469\pi\)
\(500\) 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 0.993374 0.114924i \(-0.0366624\pi\)
−0.871207 + 0.490915i \(0.836662\pi\)
\(504\) −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 −0.719450 0.694544i \(-0.755606\pi\)
0.939747 0.341871i \(-0.111061\pi\)
\(510\) 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 0.999996 + 0.00296298i \(0.000943146\pi\)
−0.912336 + 0.409442i \(0.865724\pi\)
\(522\) −20.1417 17.7287i −0.881579 0.775966i
\(523\) −11.9719 26.8894i −0.523496 1.17579i −0.960993 0.276572i \(-0.910802\pi\)
0.437497 0.899220i \(-0.355865\pi\)
\(524\) 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 0.148596 0.988898i \(-0.452524\pi\)
0.350953 + 0.936393i \(0.385858\pi\)
\(542\) 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 −0.969449 0.245292i \(-0.921116\pi\)
−0.640122 + 0.768273i \(0.721116\pi\)
\(548\) −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 −0.637651 0.770325i \(-0.720094\pi\)
−0.269204 + 0.963083i \(0.586761\pi\)
\(558\) −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 0.930481 0.366339i \(-0.119389\pi\)
0.350370 + 0.936611i \(0.386056\pi\)
\(564\) 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 0.467319 0.884089i \(-0.345220\pi\)
0.0673258 + 0.997731i \(0.478553\pi\)
\(570\) −0.124554 2.14525i −0.00521698 0.0898546i
\(571\) −24.9189 + 14.3869i −1.04282 + 0.602074i −0.920632 0.390432i \(-0.872326\pi\)
−0.122192 + 0.992507i \(0.538992\pi\)
\(572\) −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 −0.998465 0.0553934i \(-0.982359\pi\)
0.988163 + 0.153410i \(0.0490254\pi\)
\(578\) −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 0.720083 0.693888i \(-0.244104\pi\)
0.174702 + 0.984621i \(0.444104\pi\)
\(588\) 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 −0.308177 + 0.951329i \(0.599719\pi\)
−0.669786 + 0.742554i \(0.733614\pi\)
\(594\) 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 0.483737 0.875214i \(-0.339279\pi\)
0.291199 + 0.956663i \(0.405946\pi\)
\(600\) 2.92674 + 2.34285i 0.119484 + 0.0956463i
\(601\) 11.5061 + 3.73855i 0.469342 + 0.152498i 0.534133 0.845400i \(-0.320638\pi\)
−0.0647911 + 0.997899i \(0.520638\pi\)
\(602\) 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 0.209181 0.977877i \(-0.432920\pi\)
0.407922 + 0.913017i \(0.366254\pi\)
\(608\) 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 0.958465 0.285209i \(-0.0920631\pi\)
−0.183460 + 0.983027i \(0.558730\pi\)
\(614\) −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 \(-0.884376\pi\)
0.934750 0.355307i \(-0.115624\pi\)
\(618\) −19.6672 + 12.9302i −0.791130 + 0.520128i
\(619\) −3.76918 + 4.18610i −0.151496 + 0.168254i −0.814116 0.580702i \(-0.802778\pi\)
0.662620 + 0.748956i \(0.269445\pi\)
\(620\) −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 −0.796822 0.604214i \(-0.793487\pi\)
0.999791 0.0204585i \(-0.00651261\pi\)
\(632\) 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 0.296914 0.954904i \(-0.404043\pi\)
−0.918637 + 0.395102i \(0.870709\pi\)
\(642\) −4.33105 + 11.4756i −0.170933 + 0.452907i
\(643\) 30.1474 + 21.9033i 1.18890 + 0.863783i 0.993147 0.116871i \(-0.0372864\pi\)
0.195748 + 0.980654i \(0.437286\pi\)
\(644\) 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 −0.369880 0.929080i \(-0.620601\pi\)
0.937938 0.346802i \(-0.112732\pi\)
\(648\) −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 −0.842669 0.538432i \(-0.819017\pi\)
0.447399 + 0.894334i \(0.352350\pi\)
\(654\) −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 0.781818 0.623507i \(-0.214293\pi\)
−0.930882 + 0.365321i \(0.880959\pi\)
\(662\) −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 0.907669 + 0.419686i \(0.137860\pi\)
0.118660 + 0.992935i \(0.462140\pi\)
\(674\) 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 −0.0180147 0.999838i \(-0.505735\pi\)
0.730970 + 0.682410i \(0.239068\pi\)
\(678\) −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 −0.956013 0.293325i \(-0.905238\pi\)
−0.223980 + 0.974594i \(0.571905\pi\)
\(684\) 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 −0.994966 0.100210i \(-0.968049\pi\)
0.952389 0.304885i \(-0.0986181\pi\)
\(692\) 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 0.976164 + 0.217035i \(0.0696385\pi\)
−0.662163 + 0.749360i \(0.730361\pi\)
\(702\) 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 0.0610102 0.998137i \(-0.480568\pi\)
0.782584 + 0.622545i \(0.213901\pi\)
\(710\) 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 −0.803294 0.595582i \(-0.796921\pi\)
0.508352 + 0.861149i \(0.330255\pi\)
\(720\) −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 −0.325296 0.945612i \(-0.605464\pi\)
0.906429 + 0.422358i \(0.138797\pi\)
\(734\) −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 −0.208244 0.978077i \(-0.566775\pi\)
0.866195 0.499706i \(-0.166559\pi\)
\(740\) −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 0.999777 + 0.0211299i \(0.00672636\pi\)
0.329044 + 0.944315i \(0.393274\pi\)
\(744\) 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 −0.815736 0.578424i \(-0.803668\pi\)
−0.980478 + 0.196627i \(0.937001\pi\)
\(752\) 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 −0.564576 0.825381i \(-0.690960\pi\)
0.610520 + 0.792001i \(0.290960\pi\)
\(758\) −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 −0.876665 0.481101i \(-0.840237\pi\)
0.757481 0.652857i \(-0.226430\pi\)
\(762\) −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 \(0.00951121\pi\)
−0.999554 + 0.0298759i \(0.990489\pi\)
\(770\) −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
\(773\)