Properties

Label 731.2.n.a.208.12
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.12
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.53

$q$-expansion

\(f(q)\) \(=\) \(q-2.13900i q^{2} +(3.06744 + 0.821917i) q^{3} -2.57533 q^{4} +(-0.243980 - 0.0653743i) q^{5} +(1.75808 - 6.56125i) q^{6} +(3.12655 - 0.837757i) q^{7} +1.23062i q^{8} +(6.13555 + 3.54236i) q^{9} +O(q^{10})\) \(q-2.13900i q^{2} +(3.06744 + 0.821917i) q^{3} -2.57533 q^{4} +(-0.243980 - 0.0653743i) q^{5} +(1.75808 - 6.56125i) q^{6} +(3.12655 - 0.837757i) q^{7} +1.23062i q^{8} +(6.13555 + 3.54236i) q^{9} +(-0.139836 + 0.521874i) q^{10} +(-0.891071 - 0.891071i) q^{11} +(-7.89965 - 2.11670i) q^{12} +(-1.42500 + 2.46817i) q^{13} +(-1.79196 - 6.68770i) q^{14} +(-0.694662 - 0.401063i) q^{15} -2.51835 q^{16} +(4.00651 + 0.973583i) q^{17} +(7.57711 - 13.1239i) q^{18} +(-4.11124 + 2.37363i) q^{19} +(0.628329 + 0.168360i) q^{20} +10.2791 q^{21} +(-1.90600 + 1.90600i) q^{22} +(0.514907 - 1.92166i) q^{23} +(-1.01147 + 3.77485i) q^{24} +(-4.27487 - 2.46810i) q^{25} +(5.27942 + 3.04807i) q^{26} +(9.17232 + 9.17232i) q^{27} +(-8.05189 + 2.15750i) q^{28} +(1.11128 + 4.14734i) q^{29} +(-0.857875 + 1.48588i) q^{30} +(2.77268 + 0.742938i) q^{31} +7.84800i q^{32} +(-2.00092 - 3.46569i) q^{33} +(2.08249 - 8.56993i) q^{34} -0.817585 q^{35} +(-15.8010 - 9.12273i) q^{36} +(-8.12234 - 2.17637i) q^{37} +(5.07719 + 8.79395i) q^{38} +(-6.39973 + 6.39973i) q^{39} +(0.0804511 - 0.300247i) q^{40} +(-6.58772 - 6.58772i) q^{41} -21.9869i q^{42} +(4.06750 - 5.14348i) q^{43} +(2.29480 + 2.29480i) q^{44} +(-1.26537 - 1.26537i) q^{45} +(-4.11043 - 1.10139i) q^{46} -5.19884 q^{47} +(-7.72488 - 2.06988i) q^{48} +(3.01131 - 1.73858i) q^{49} +(-5.27927 + 9.14396i) q^{50} +(11.4895 + 6.27943i) q^{51} +(3.66984 - 6.35634i) q^{52} +(7.58628 - 4.37994i) q^{53} +(19.6196 - 19.6196i) q^{54} +(0.159151 + 0.275657i) q^{55} +(1.03096 + 3.84760i) q^{56} +(-14.5619 + 3.90185i) q^{57} +(8.87117 - 2.37702i) q^{58} -0.362025i q^{59} +(1.78898 + 1.03287i) q^{60} +(-9.95323 + 2.66696i) q^{61} +(1.58914 - 5.93077i) q^{62} +(22.1507 + 5.93527i) q^{63} +11.7502 q^{64} +(0.509027 - 0.509027i) q^{65} +(-7.41312 + 4.27997i) q^{66} +(-4.04735 - 7.01021i) q^{67} +(-10.3181 - 2.50729i) q^{68} +(3.15889 - 5.47136i) q^{69} +1.74881i q^{70} +(2.83866 + 10.5940i) q^{71} +(-4.35931 + 7.55054i) q^{72} +(1.03054 + 3.84603i) q^{73} +(-4.65526 + 17.3737i) q^{74} +(-11.0843 - 11.0843i) q^{75} +(10.5878 - 6.11286i) q^{76} +(-3.53248 - 2.03948i) q^{77} +(13.6890 + 13.6890i) q^{78} +(10.5882 - 2.83711i) q^{79} +(0.614428 + 0.164635i) q^{80} +(9.96955 + 17.2678i) q^{81} +(-14.0911 + 14.0911i) q^{82} +(-1.12763 + 0.651039i) q^{83} -26.4719 q^{84} +(-0.913863 - 0.499458i) q^{85} +(-11.0019 - 8.70039i) q^{86} +13.6351i q^{87} +(1.09657 - 1.09657i) q^{88} +(1.69182 + 2.93032i) q^{89} +(-2.70663 + 2.70663i) q^{90} +(-2.38761 + 8.91066i) q^{91} +(-1.32605 + 4.94890i) q^{92} +(7.89439 + 4.55783i) q^{93} +11.1203i q^{94} +(1.15824 - 0.310348i) q^{95} +(-6.45040 + 24.0732i) q^{96} +(-7.62818 + 7.62818i) q^{97} +(-3.71882 - 6.44119i) q^{98} +(-2.31071 - 8.62371i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.13900i 1.51250i −0.654282 0.756251i \(-0.727029\pi\)
0.654282 0.756251i \(-0.272971\pi\)
\(3\) 3.06744 + 0.821917i 1.77099 + 0.474534i 0.988893 0.148628i \(-0.0474857\pi\)
0.782093 + 0.623162i \(0.214152\pi\)
\(4\) −2.57533 −1.28766
\(5\) −0.243980 0.0653743i −0.109111 0.0292363i 0.203850 0.979002i \(-0.434654\pi\)
−0.312962 + 0.949766i \(0.601321\pi\)
\(6\) 1.75808 6.56125i 0.717734 2.67862i
\(7\) 3.12655 0.837757i 1.18173 0.316642i 0.386115 0.922451i \(-0.373817\pi\)
0.795611 + 0.605808i \(0.207150\pi\)
\(8\) 1.23062i 0.435090i
\(9\) 6.13555 + 3.54236i 2.04518 + 1.18079i
\(10\) −0.139836 + 0.521874i −0.0442199 + 0.165031i
\(11\) −0.891071 0.891071i −0.268668 0.268668i 0.559895 0.828563i \(-0.310841\pi\)
−0.828563 + 0.559895i \(0.810841\pi\)
\(12\) −7.89965 2.11670i −2.28043 0.611040i
\(13\) −1.42500 + 2.46817i −0.395224 + 0.684547i −0.993130 0.117019i \(-0.962666\pi\)
0.597906 + 0.801566i \(0.296000\pi\)
\(14\) −1.79196 6.68770i −0.478922 1.78736i
\(15\) −0.694662 0.401063i −0.179361 0.103554i
\(16\) −2.51835 −0.629587
\(17\) 4.00651 + 0.973583i 0.971722 + 0.236129i
\(18\) 7.57711 13.1239i 1.78594 3.09334i
\(19\) −4.11124 + 2.37363i −0.943183 + 0.544547i −0.890957 0.454088i \(-0.849965\pi\)
−0.0522264 + 0.998635i \(0.516632\pi\)
\(20\) 0.628329 + 0.168360i 0.140499 + 0.0376465i
\(21\) 10.2791 2.24308
\(22\) −1.90600 + 1.90600i −0.406361 + 0.406361i
\(23\) 0.514907 1.92166i 0.107366 0.400694i −0.891237 0.453537i \(-0.850162\pi\)
0.998603 + 0.0528437i \(0.0168285\pi\)
\(24\) −1.01147 + 3.77485i −0.206465 + 0.770539i
\(25\) −4.27487 2.46810i −0.854975 0.493620i
\(26\) 5.27942 + 3.04807i 1.03538 + 0.597777i
\(27\) 9.17232 + 9.17232i 1.76521 + 1.76521i
\(28\) −8.05189 + 2.15750i −1.52166 + 0.407729i
\(29\) 1.11128 + 4.14734i 0.206359 + 0.770142i 0.989031 + 0.147708i \(0.0471895\pi\)
−0.782672 + 0.622434i \(0.786144\pi\)
\(30\) −0.857875 + 1.48588i −0.156626 + 0.271284i
\(31\) 2.77268 + 0.742938i 0.497988 + 0.133436i 0.499066 0.866564i \(-0.333676\pi\)
−0.00107792 + 0.999999i \(0.500343\pi\)
\(32\) 7.84800i 1.38734i
\(33\) −2.00092 3.46569i −0.348315 0.603300i
\(34\) 2.08249 8.56993i 0.357145 1.46973i
\(35\) −0.817585 −0.138197
\(36\) −15.8010 9.12273i −2.63351 1.52046i
\(37\) −8.12234 2.17637i −1.33530 0.357794i −0.480614 0.876932i \(-0.659586\pi\)
−0.854690 + 0.519139i \(0.826253\pi\)
\(38\) 5.07719 + 8.79395i 0.823629 + 1.42657i
\(39\) −6.39973 + 6.39973i −1.02478 + 1.02478i
\(40\) 0.0804511 0.300247i 0.0127204 0.0474733i
\(41\) −6.58772 6.58772i −1.02883 1.02883i −0.999572 0.0292573i \(-0.990686\pi\)
−0.0292573 0.999572i \(-0.509314\pi\)
\(42\) 21.9869i 3.39266i
\(43\) 4.06750 5.14348i 0.620289 0.784374i
\(44\) 2.29480 + 2.29480i 0.345954 + 0.345954i
\(45\) −1.26537 1.26537i −0.188631 0.188631i
\(46\) −4.11043 1.10139i −0.606050 0.162391i
\(47\) −5.19884 −0.758328 −0.379164 0.925329i \(-0.623788\pi\)
−0.379164 + 0.925329i \(0.623788\pi\)
\(48\) −7.72488 2.06988i −1.11499 0.298761i
\(49\) 3.01131 1.73858i 0.430187 0.248368i
\(50\) −5.27927 + 9.14396i −0.746601 + 1.29315i
\(51\) 11.4895 + 6.27943i 1.60885 + 0.879295i
\(52\) 3.66984 6.35634i 0.508915 0.881466i
\(53\) 7.58628 4.37994i 1.04206 0.601631i 0.121641 0.992574i \(-0.461184\pi\)
0.920415 + 0.390943i \(0.127851\pi\)
\(54\) 19.6196 19.6196i 2.66989 2.66989i
\(55\) 0.159151 + 0.275657i 0.0214599 + 0.0371696i
\(56\) 1.03096 + 3.84760i 0.137768 + 0.514157i
\(57\) −14.5619 + 3.90185i −1.92877 + 0.516812i
\(58\) 8.87117 2.37702i 1.16484 0.312118i
\(59\) 0.362025i 0.0471316i −0.999722 0.0235658i \(-0.992498\pi\)
0.999722 0.0235658i \(-0.00750192\pi\)
\(60\) 1.78898 + 1.03287i 0.230956 + 0.133343i
\(61\) −9.95323 + 2.66696i −1.27438 + 0.341469i −0.831708 0.555214i \(-0.812636\pi\)
−0.442673 + 0.896683i \(0.645970\pi\)
\(62\) 1.58914 5.93077i 0.201822 0.753208i
\(63\) 22.1507 + 5.93527i 2.79073 + 0.747774i
\(64\) 11.7502 1.46877
\(65\) 0.509027 0.509027i 0.0631370 0.0631370i
\(66\) −7.41312 + 4.27997i −0.912492 + 0.526827i
\(67\) −4.04735 7.01021i −0.494462 0.856433i 0.505518 0.862816i \(-0.331302\pi\)
−0.999980 + 0.00638309i \(0.997968\pi\)
\(68\) −10.3181 2.50729i −1.25125 0.304054i
\(69\) 3.15889 5.47136i 0.380286 0.658674i
\(70\) 1.74881i 0.209023i
\(71\) 2.83866 + 10.5940i 0.336887 + 1.25728i 0.901809 + 0.432135i \(0.142240\pi\)
−0.564922 + 0.825145i \(0.691094\pi\)
\(72\) −4.35931 + 7.55054i −0.513749 + 0.889839i
\(73\) 1.03054 + 3.84603i 0.120616 + 0.450144i 0.999646 0.0266227i \(-0.00847527\pi\)
−0.879030 + 0.476767i \(0.841809\pi\)
\(74\) −4.65526 + 17.3737i −0.541164 + 2.01965i
\(75\) −11.0843 11.0843i −1.27991 1.27991i
\(76\) 10.5878 6.11286i 1.21450 0.701193i
\(77\) −3.53248 2.03948i −0.402564 0.232420i
\(78\) 13.6890 + 13.6890i 1.54998 + 1.54998i
\(79\) 10.5882 2.83711i 1.19127 0.319199i 0.391881 0.920016i \(-0.371824\pi\)
0.799387 + 0.600816i \(0.205158\pi\)
\(80\) 0.614428 + 0.164635i 0.0686951 + 0.0184068i
\(81\) 9.96955 + 17.2678i 1.10773 + 1.91864i
\(82\) −14.0911 + 14.0911i −1.55611 + 1.55611i
\(83\) −1.12763 + 0.651039i −0.123774 + 0.0714608i −0.560609 0.828081i \(-0.689433\pi\)
0.436835 + 0.899542i \(0.356099\pi\)
\(84\) −26.4719 −2.88833
\(85\) −0.913863 0.499458i −0.0991223 0.0541738i
\(86\) −11.0019 8.70039i −1.18637 0.938188i
\(87\) 13.6351i 1.46184i
\(88\) 1.09657 1.09657i 0.116895 0.116895i
\(89\) 1.69182 + 2.93032i 0.179333 + 0.310614i 0.941652 0.336587i \(-0.109273\pi\)
−0.762319 + 0.647201i \(0.775939\pi\)
\(90\) −2.70663 + 2.70663i −0.285304 + 0.285304i
\(91\) −2.38761 + 8.91066i −0.250289 + 0.934091i
\(92\) −1.32605 + 4.94890i −0.138251 + 0.515958i
\(93\) 7.89439 + 4.55783i 0.818610 + 0.472625i
\(94\) 11.1203i 1.14697i
\(95\) 1.15824 0.310348i 0.118832 0.0318411i
\(96\) −6.45040 + 24.0732i −0.658342 + 2.45696i
\(97\) −7.62818 + 7.62818i −0.774524 + 0.774524i −0.978894 0.204370i \(-0.934485\pi\)
0.204370 + 0.978894i \(0.434485\pi\)
\(98\) −3.71882 6.44119i −0.375658 0.650658i
\(99\) −2.31071 8.62371i −0.232236 0.866715i
\(100\) 11.0092 + 6.35616i 1.10092 + 0.635616i
\(101\) 3.95640 6.85269i 0.393677 0.681868i −0.599255 0.800558i \(-0.704536\pi\)
0.992931 + 0.118690i \(0.0378696\pi\)
\(102\) 13.4317 24.5761i 1.32994 2.43340i
\(103\) 1.50421 2.60536i 0.148214 0.256714i −0.782353 0.622835i \(-0.785981\pi\)
0.930567 + 0.366121i \(0.119314\pi\)
\(104\) −3.03738 1.75363i −0.297840 0.171958i
\(105\) −2.50789 0.671987i −0.244745 0.0655792i
\(106\) −9.36869 16.2271i −0.909968 1.57611i
\(107\) −6.29236 + 6.29236i −0.608306 + 0.608306i −0.942503 0.334197i \(-0.891535\pi\)
0.334197 + 0.942503i \(0.391535\pi\)
\(108\) −23.6217 23.6217i −2.27300 2.27300i
\(109\) −4.88548 + 18.2329i −0.467944 + 1.74639i 0.178994 + 0.983850i \(0.442716\pi\)
−0.646938 + 0.762542i \(0.723951\pi\)
\(110\) 0.589631 0.340423i 0.0562191 0.0324581i
\(111\) −23.1260 13.3518i −2.19502 1.26729i
\(112\) −7.87375 + 2.10976i −0.743999 + 0.199354i
\(113\) 3.77940 + 3.77940i 0.355536 + 0.355536i 0.862164 0.506629i \(-0.169108\pi\)
−0.506629 + 0.862164i \(0.669108\pi\)
\(114\) 8.34606 + 31.1479i 0.781680 + 2.91727i
\(115\) −0.251254 + 0.435185i −0.0234296 + 0.0405812i
\(116\) −2.86190 10.6808i −0.265721 0.991683i
\(117\) −17.4863 + 10.0957i −1.61661 + 0.933350i
\(118\) −0.774371 −0.0712867
\(119\) 13.3422 0.312526i 1.22308 0.0286492i
\(120\) 0.493557 0.854866i 0.0450554 0.0780382i
\(121\) 9.41198i 0.855635i
\(122\) 5.70463 + 21.2900i 0.516473 + 1.92750i
\(123\) −14.7929 25.6220i −1.33383 2.31026i
\(124\) −7.14056 1.91331i −0.641241 0.171820i
\(125\) 1.77466 + 1.77466i 0.158731 + 0.158731i
\(126\) 12.6956 47.3805i 1.13101 4.22099i
\(127\) 19.3750i 1.71925i −0.510921 0.859627i \(-0.670696\pi\)
0.510921 0.859627i \(-0.329304\pi\)
\(128\) 9.43764i 0.834177i
\(129\) 16.7043 12.4342i 1.47073 1.09477i
\(130\) −1.08881 1.08881i −0.0954948 0.0954948i
\(131\) −1.33080 + 1.33080i −0.116273 + 0.116273i −0.762849 0.646576i \(-0.776200\pi\)
0.646576 + 0.762849i \(0.276200\pi\)
\(132\) 5.15302 + 8.92528i 0.448512 + 0.776846i
\(133\) −10.8655 + 10.8655i −0.942157 + 0.942157i
\(134\) −14.9948 + 8.65728i −1.29536 + 0.747875i
\(135\) −1.63823 2.83750i −0.140996 0.244213i
\(136\) −1.19811 + 4.93050i −0.102737 + 0.422787i
\(137\) 0.475256 0.0406039 0.0203019 0.999794i \(-0.493537\pi\)
0.0203019 + 0.999794i \(0.493537\pi\)
\(138\) −11.7032 6.75687i −0.996246 0.575183i
\(139\) −8.15194 2.18431i −0.691438 0.185270i −0.104046 0.994573i \(-0.533179\pi\)
−0.587393 + 0.809302i \(0.699846\pi\)
\(140\) 2.10555 0.177951
\(141\) −15.9471 4.27301i −1.34299 0.359853i
\(142\) 22.6606 6.07190i 1.90164 0.509543i
\(143\) 3.46909 0.929540i 0.290100 0.0777321i
\(144\) −15.4515 8.92090i −1.28762 0.743408i
\(145\) 1.08452i 0.0900644i
\(146\) 8.22667 2.20433i 0.680844 0.182432i
\(147\) 10.6660 2.85794i 0.879714 0.235719i
\(148\) 20.9177 + 5.60487i 1.71942 + 0.460717i
\(149\) 9.55680 + 16.5529i 0.782923 + 1.35606i 0.930232 + 0.366972i \(0.119606\pi\)
−0.147309 + 0.989091i \(0.547061\pi\)
\(150\) −23.7094 + 23.7094i −1.93586 + 1.93586i
\(151\) 17.8089i 1.44927i 0.689134 + 0.724634i \(0.257991\pi\)
−0.689134 + 0.724634i \(0.742009\pi\)
\(152\) −2.92103 5.05938i −0.236927 0.410370i
\(153\) 21.1334 + 20.1660i 1.70853 + 1.63032i
\(154\) −4.36245 + 7.55598i −0.351536 + 0.608878i
\(155\) −0.627911 0.362524i −0.0504350 0.0291187i
\(156\) 16.4814 16.4814i 1.31957 1.31957i
\(157\) −7.66632 + 13.2785i −0.611839 + 1.05974i 0.379092 + 0.925359i \(0.376237\pi\)
−0.990930 + 0.134377i \(0.957097\pi\)
\(158\) −6.06857 22.6482i −0.482790 1.80180i
\(159\) 26.8704 7.19990i 2.13096 0.570989i
\(160\) 0.513057 1.91476i 0.0405607 0.151375i
\(161\) 6.43953i 0.507506i
\(162\) 36.9358 21.3249i 2.90195 1.67544i
\(163\) −1.77001 + 0.474273i −0.138638 + 0.0371480i −0.327471 0.944861i \(-0.606196\pi\)
0.188833 + 0.982009i \(0.439530\pi\)
\(164\) 16.9655 + 16.9655i 1.32479 + 1.32479i
\(165\) 0.261617 + 0.976369i 0.0203669 + 0.0760102i
\(166\) 1.39257 + 2.41201i 0.108085 + 0.187208i
\(167\) 5.02915 + 1.34756i 0.389167 + 0.104277i 0.448097 0.893985i \(-0.352102\pi\)
−0.0589295 + 0.998262i \(0.518769\pi\)
\(168\) 12.6496i 0.975941i
\(169\) 2.43876 + 4.22405i 0.187597 + 0.324927i
\(170\) −1.06834 + 1.95475i −0.0819380 + 0.149923i
\(171\) −33.6329 −2.57198
\(172\) −10.4751 + 13.2461i −0.798722 + 1.01001i
\(173\) 6.56332 6.56332i 0.499000 0.499000i −0.412127 0.911127i \(-0.635214\pi\)
0.911127 + 0.412127i \(0.135214\pi\)
\(174\) 29.1655 2.21103
\(175\) −15.4333 4.13534i −1.16665 0.312602i
\(176\) 2.24403 + 2.24403i 0.169150 + 0.169150i
\(177\) 0.297554 1.11049i 0.0223656 0.0834694i
\(178\) 6.26796 3.61881i 0.469804 0.271241i
\(179\) 14.5634 + 8.40817i 1.08852 + 0.628456i 0.933181 0.359406i \(-0.117021\pi\)
0.155336 + 0.987862i \(0.450354\pi\)
\(180\) 3.25875 + 3.25875i 0.242893 + 0.242893i
\(181\) 19.2166 5.14908i 1.42836 0.382728i 0.539920 0.841717i \(-0.318455\pi\)
0.888442 + 0.458988i \(0.151788\pi\)
\(182\) 19.0599 + 5.10709i 1.41282 + 0.378563i
\(183\) −32.7229 −2.41895
\(184\) 2.36484 + 0.633656i 0.174338 + 0.0467137i
\(185\) 1.83941 + 1.06198i 0.135236 + 0.0780786i
\(186\) 9.74920 16.8861i 0.714846 1.23815i
\(187\) −2.70256 4.43762i −0.197630 0.324511i
\(188\) 13.3887 0.976471
\(189\) 36.3619 + 20.9936i 2.64494 + 1.52706i
\(190\) −0.663835 2.47747i −0.0481597 0.179734i
\(191\) 13.0958 + 22.6826i 0.947580 + 1.64126i 0.750500 + 0.660870i \(0.229813\pi\)
0.197080 + 0.980387i \(0.436854\pi\)
\(192\) 36.0429 + 9.65767i 2.60117 + 0.696982i
\(193\) −11.7016 11.7016i −0.842302 0.842302i 0.146856 0.989158i \(-0.453085\pi\)
−0.989158 + 0.146856i \(0.953085\pi\)
\(194\) 16.3167 + 16.3167i 1.17147 + 1.17147i
\(195\) 1.97979 1.14303i 0.141775 0.0818540i
\(196\) −7.75510 + 4.47741i −0.553935 + 0.319815i
\(197\) 1.33775 0.358450i 0.0953109 0.0255385i −0.210848 0.977519i \(-0.567623\pi\)
0.306159 + 0.951980i \(0.400956\pi\)
\(198\) −18.4461 + 4.94262i −1.31091 + 0.351257i
\(199\) −0.601694 + 0.601694i −0.0426530 + 0.0426530i −0.728112 0.685459i \(-0.759602\pi\)
0.685459 + 0.728112i \(0.259602\pi\)
\(200\) 3.03730 5.26075i 0.214769 0.371991i
\(201\) −6.65317 24.8300i −0.469278 1.75137i
\(202\) −14.6579 8.46275i −1.03133 0.595437i
\(203\) 6.94893 + 12.0359i 0.487719 + 0.844754i
\(204\) −29.5893 16.1716i −2.07166 1.13224i
\(205\) 1.17661 + 2.03794i 0.0821777 + 0.142336i
\(206\) −5.57287 3.21750i −0.388280 0.224174i
\(207\) 9.96645 9.96645i 0.692716 0.692716i
\(208\) 3.58865 6.21572i 0.248828 0.430982i
\(209\) 5.77848 + 1.54834i 0.399706 + 0.107101i
\(210\) −1.43738 + 5.36438i −0.0991887 + 0.370177i
\(211\) −10.7752 10.7752i −0.741796 0.741796i 0.231127 0.972924i \(-0.425759\pi\)
−0.972924 + 0.231127i \(0.925759\pi\)
\(212\) −19.5371 + 11.2798i −1.34182 + 0.774698i
\(213\) 34.8297i 2.38649i
\(214\) 13.4594 + 13.4594i 0.920064 + 0.920064i
\(215\) −1.32864 + 0.988998i −0.0906127 + 0.0674491i
\(216\) −11.2877 + 11.2877i −0.768028 + 0.768028i
\(217\) 9.29133 0.630737
\(218\) 39.0001 + 10.4501i 2.64142 + 0.707767i
\(219\) 12.6445i 0.854435i
\(220\) −0.409865 0.709906i −0.0276331 0.0478619i
\(221\) −8.11224 + 8.50140i −0.545689 + 0.571866i
\(222\) −28.5595 + 49.4664i −1.91679 + 3.31997i
\(223\) 14.8593i 0.995054i −0.867449 0.497527i \(-0.834242\pi\)
0.867449 0.497527i \(-0.165758\pi\)
\(224\) 6.57471 + 24.5372i 0.439291 + 1.63946i
\(225\) −17.4858 30.2863i −1.16572 2.01909i
\(226\) 8.08414 8.08414i 0.537749 0.537749i
\(227\) 7.48286 27.9264i 0.496655 1.85354i −0.0239010 0.999714i \(-0.507609\pi\)
0.520556 0.853828i \(-0.325725\pi\)
\(228\) 37.5016 10.0485i 2.48361 0.665480i
\(229\) −0.682367 0.393965i −0.0450921 0.0260339i 0.477284 0.878749i \(-0.341621\pi\)
−0.522377 + 0.852715i \(0.674954\pi\)
\(230\) 0.930862 + 0.537433i 0.0613792 + 0.0354373i
\(231\) −9.15938 9.15938i −0.602643 0.602643i
\(232\) −5.10381 + 1.36756i −0.335081 + 0.0897848i
\(233\) 1.62924 + 6.08040i 0.106735 + 0.398340i 0.998536 0.0540872i \(-0.0172249\pi\)
−0.891801 + 0.452427i \(0.850558\pi\)
\(234\) 21.5948 + 37.4032i 1.41169 + 2.44512i
\(235\) 1.26841 + 0.339870i 0.0827422 + 0.0221707i
\(236\) 0.932332i 0.0606896i
\(237\) 34.8106 2.26119
\(238\) −0.668494 28.5390i −0.0433320 1.84991i
\(239\) −9.51206 16.4754i −0.615284 1.06570i −0.990335 0.138699i \(-0.955708\pi\)
0.375050 0.927004i \(-0.377625\pi\)
\(240\) 1.74940 + 1.01002i 0.112923 + 0.0651964i
\(241\) −2.01724 7.52843i −0.129942 0.484949i 0.870026 0.493006i \(-0.164102\pi\)
−0.999968 + 0.00805723i \(0.997435\pi\)
\(242\) −20.1322 −1.29415
\(243\) 6.31639 + 23.5731i 0.405196 + 1.51221i
\(244\) 25.6328 6.86829i 1.64097 0.439697i
\(245\) −0.848358 + 0.227317i −0.0541996 + 0.0145227i
\(246\) −54.8055 + 31.6419i −3.49427 + 2.01742i
\(247\) 13.5297i 0.860871i
\(248\) −0.914275 + 3.41212i −0.0580565 + 0.216670i
\(249\) −3.99404 + 1.07020i −0.253112 + 0.0678212i
\(250\) 3.79601 3.79601i 0.240081 0.240081i
\(251\) −4.77315 + 8.26735i −0.301279 + 0.521830i −0.976426 0.215853i \(-0.930747\pi\)
0.675147 + 0.737683i \(0.264080\pi\)
\(252\) −57.0454 15.2853i −3.59352 0.962881i
\(253\) −2.17115 + 1.25352i −0.136499 + 0.0788079i
\(254\) −41.4432 −2.60038
\(255\) −2.39270 2.28318i −0.149837 0.142978i
\(256\) 3.31323 0.207077
\(257\) 29.0403i 1.81148i −0.423829 0.905742i \(-0.639314\pi\)
0.423829 0.905742i \(-0.360686\pi\)
\(258\) −26.5967 35.7306i −1.65584 2.22449i
\(259\) −27.2182 −1.69125
\(260\) −1.31091 + 1.31091i −0.0812991 + 0.0812991i
\(261\) −7.87309 + 29.3828i −0.487332 + 1.81875i
\(262\) 2.84659 + 2.84659i 0.175863 + 0.175863i
\(263\) 16.8931 9.75323i 1.04167 0.601410i 0.121366 0.992608i \(-0.461272\pi\)
0.920307 + 0.391198i \(0.127939\pi\)
\(264\) 4.26496 2.46237i 0.262490 0.151549i
\(265\) −2.13724 + 0.572671i −0.131289 + 0.0351789i
\(266\) 23.2413 + 23.2413i 1.42501 + 1.42501i
\(267\) 2.78108 + 10.3791i 0.170199 + 0.635192i
\(268\) 10.4232 + 18.0536i 0.636700 + 1.10280i
\(269\) 9.45169 9.45169i 0.576280 0.576280i −0.357596 0.933876i \(-0.616404\pi\)
0.933876 + 0.357596i \(0.116404\pi\)
\(270\) −6.06941 + 3.50418i −0.369373 + 0.213257i
\(271\) −0.394120 + 0.682636i −0.0239411 + 0.0414672i −0.877748 0.479123i \(-0.840955\pi\)
0.853807 + 0.520590i \(0.174288\pi\)
\(272\) −10.0898 2.45182i −0.611784 0.148664i
\(273\) −14.6477 + 25.3705i −0.886517 + 1.53549i
\(274\) 1.01657i 0.0614135i
\(275\) 1.60996 + 6.00847i 0.0970845 + 0.362324i
\(276\) −8.13517 + 14.0905i −0.489680 + 0.848150i
\(277\) −4.50181 1.20626i −0.270488 0.0724770i 0.121026 0.992649i \(-0.461382\pi\)
−0.391513 + 0.920172i \(0.628048\pi\)
\(278\) −4.67223 + 17.4370i −0.280222 + 1.04580i
\(279\) 14.3802 + 14.3802i 0.860918 + 0.860918i
\(280\) 1.00614i 0.0601282i
\(281\) −14.1845 + 8.18944i −0.846178 + 0.488541i −0.859359 0.511372i \(-0.829137\pi\)
0.0131816 + 0.999913i \(0.495804\pi\)
\(282\) −9.13998 + 34.1109i −0.544278 + 2.03127i
\(283\) 12.0743 3.23529i 0.717742 0.192318i 0.118578 0.992945i \(-0.462166\pi\)
0.599164 + 0.800626i \(0.295500\pi\)
\(284\) −7.31048 27.2831i −0.433797 1.61895i
\(285\) 3.80790 0.225560
\(286\) −1.98829 7.42039i −0.117570 0.438777i
\(287\) −26.1158 15.0779i −1.54156 0.890023i
\(288\) −27.8004 + 48.1518i −1.63816 + 2.83737i
\(289\) 15.1043 + 7.80134i 0.888487 + 0.458902i
\(290\) −2.31979 −0.136223
\(291\) −29.6687 + 17.1292i −1.73921 + 1.00413i
\(292\) −2.65398 9.90479i −0.155312 0.579634i
\(293\) −5.93179 −0.346539 −0.173269 0.984874i \(-0.555433\pi\)
−0.173269 + 0.984874i \(0.555433\pi\)
\(294\) −6.11313 22.8145i −0.356525 1.33057i
\(295\) −0.0236671 + 0.0883269i −0.00137795 + 0.00514259i
\(296\) 2.67829 9.99552i 0.155673 0.580978i
\(297\) 16.3464i 0.948513i
\(298\) 35.4066 20.4420i 2.05105 1.18417i
\(299\) 4.00924 + 4.00924i 0.231860 + 0.231860i
\(300\) 28.5458 + 28.5458i 1.64809 + 1.64809i
\(301\) 8.40827 19.4889i 0.484645 1.12332i
\(302\) 38.0933 2.19202
\(303\) 17.7684 17.7684i 1.02077 1.02077i
\(304\) 10.3535 5.97762i 0.593816 0.342840i
\(305\) 2.60274 0.149033
\(306\) 43.1350 45.2043i 2.46587 2.58416i
\(307\) −3.36928 5.83576i −0.192295 0.333064i 0.753716 0.657201i \(-0.228260\pi\)
−0.946010 + 0.324137i \(0.894926\pi\)
\(308\) 9.09729 + 5.25232i 0.518366 + 0.299279i
\(309\) 6.75545 6.75545i 0.384304 0.384304i
\(310\) −0.775440 + 1.34310i −0.0440420 + 0.0762830i
\(311\) 10.0571 + 2.69480i 0.570287 + 0.152808i 0.532428 0.846475i \(-0.321280\pi\)
0.0378587 + 0.999283i \(0.487946\pi\)
\(312\) −7.87564 7.87564i −0.445871 0.445871i
\(313\) 6.66895 24.8889i 0.376951 1.40680i −0.473522 0.880782i \(-0.657017\pi\)
0.850473 0.526019i \(-0.176316\pi\)
\(314\) 28.4026 + 16.3983i 1.60285 + 0.925407i
\(315\) −5.01633 2.89618i −0.282638 0.163181i
\(316\) −27.2681 + 7.30647i −1.53395 + 0.411021i
\(317\) 13.3719 + 13.3719i 0.751039 + 0.751039i 0.974673 0.223634i \(-0.0717920\pi\)
−0.223634 + 0.974673i \(0.571792\pi\)
\(318\) −15.4006 57.4758i −0.863622 3.22308i
\(319\) 2.70535 4.68580i 0.151471 0.262355i
\(320\) −2.86681 0.768159i −0.160260 0.0429414i
\(321\) −24.4732 + 14.1296i −1.36596 + 0.788639i
\(322\) −13.7742 −0.767604
\(323\) −18.7827 + 5.50733i −1.04509 + 0.306436i
\(324\) −25.6748 44.4701i −1.42638 2.47056i
\(325\) 12.1834 7.03408i 0.675813 0.390181i
\(326\) 1.01447 + 3.78606i 0.0561864 + 0.209690i
\(327\) −29.9718 + 51.9127i −1.65745 + 2.87078i
\(328\) 8.10699 8.10699i 0.447634 0.447634i
\(329\) −16.2544 + 4.35536i −0.896136 + 0.240119i
\(330\) 2.08845 0.559600i 0.114966 0.0308050i
\(331\) 23.6928 + 13.6791i 1.30228 + 0.751869i 0.980794 0.195047i \(-0.0624859\pi\)
0.321481 + 0.946916i \(0.395819\pi\)
\(332\) 2.90402 1.67664i 0.159379 0.0920174i
\(333\) −42.1255 42.1255i −2.30846 2.30846i
\(334\) 2.88242 10.7574i 0.157719 0.588616i
\(335\) 0.529185 + 1.97494i 0.0289125 + 0.107903i
\(336\) −25.8863 −1.41221
\(337\) 0.0633787 + 0.236533i 0.00345246 + 0.0128848i 0.967631 0.252371i \(-0.0812103\pi\)
−0.964178 + 0.265256i \(0.914544\pi\)
\(338\) 9.03524 5.21650i 0.491452 0.283740i
\(339\) 8.48672 + 14.6994i 0.460935 + 0.798363i
\(340\) 2.35349 + 1.28627i 0.127636 + 0.0697576i
\(341\) −1.80865 3.13267i −0.0979437 0.169643i
\(342\) 71.9409i 3.89012i
\(343\) −8.06306 + 8.06306i −0.435364 + 0.435364i
\(344\) 6.32968 + 5.00556i 0.341274 + 0.269882i
\(345\) −1.12839 + 1.12839i −0.0607506 + 0.0607506i
\(346\) −14.0389 14.0389i −0.754738 0.754738i
\(347\) 3.35481 12.5203i 0.180095 0.672125i −0.815532 0.578712i \(-0.803556\pi\)
0.995627 0.0934134i \(-0.0297778\pi\)
\(348\) 35.1148i 1.88235i
\(349\) −8.76479 + 5.06035i −0.469168 + 0.270874i −0.715891 0.698212i \(-0.753979\pi\)
0.246723 + 0.969086i \(0.420646\pi\)
\(350\) −8.84549 + 33.0118i −0.472811 + 1.76456i
\(351\) −35.7094 + 9.56831i −1.90603 + 0.510718i
\(352\) 6.99312 6.99312i 0.372735 0.372735i
\(353\) 17.0393 29.5130i 0.906913 1.57082i 0.0885836 0.996069i \(-0.471766\pi\)
0.818329 0.574750i \(-0.194901\pi\)
\(354\) −2.37534 0.636469i −0.126248 0.0338280i
\(355\) 2.77031i 0.147033i
\(356\) −4.35699 7.54654i −0.230920 0.399966i
\(357\) 41.1832 + 10.0075i 2.17965 + 0.529654i
\(358\) 17.9851 31.1511i 0.950541 1.64639i
\(359\) −25.6929 14.8338i −1.35602 0.782897i −0.366933 0.930247i \(-0.619592\pi\)
−0.989084 + 0.147350i \(0.952926\pi\)
\(360\) 1.55720 1.55720i 0.0820714 0.0820714i
\(361\) 1.76820 3.06260i 0.0930629 0.161190i
\(362\) −11.0139 41.1044i −0.578878 2.16040i
\(363\) 7.73587 28.8707i 0.406028 1.51532i
\(364\) 6.14886 22.9479i 0.322288 1.20279i
\(365\) 1.00573i 0.0526422i
\(366\) 69.9944i 3.65867i
\(367\) 3.26943 12.2017i 0.170663 0.636922i −0.826587 0.562809i \(-0.809721\pi\)
0.997250 0.0741132i \(-0.0236126\pi\)
\(368\) −1.29672 + 4.83941i −0.0675960 + 0.252272i
\(369\) −17.0832 63.7554i −0.889316 3.31897i
\(370\) 2.27159 3.93450i 0.118094 0.204545i
\(371\) 20.0496 20.0496i 1.04092 1.04092i
\(372\) −20.3306 11.7379i −1.05409 0.608582i
\(373\) −10.5777 + 18.3212i −0.547694 + 0.948635i 0.450738 + 0.892657i \(0.351161\pi\)
−0.998432 + 0.0559781i \(0.982172\pi\)
\(374\) −9.49207 + 5.78077i −0.490823 + 0.298916i
\(375\) 3.98504 + 6.90230i 0.205787 + 0.356433i
\(376\) 6.39780i 0.329941i
\(377\) −11.8199 3.16714i −0.608757 0.163116i
\(378\) 44.9052 77.7782i 2.30968 4.00048i
\(379\) −18.4956 + 18.4956i −0.950055 + 0.950055i −0.998811 0.0487559i \(-0.984474\pi\)
0.0487559 + 0.998811i \(0.484474\pi\)
\(380\) −2.98283 + 0.799248i −0.153016 + 0.0410005i
\(381\) 15.9247 59.4317i 0.815845 3.04478i
\(382\) 48.5182 28.0120i 2.48241 1.43322i
\(383\) 4.23923i 0.216614i −0.994117 0.108307i \(-0.965457\pi\)
0.994117 0.108307i \(-0.0345430\pi\)
\(384\) 7.75696 28.9494i 0.395846 1.47732i
\(385\) 0.728526 + 0.728526i 0.0371291 + 0.0371291i
\(386\) −25.0298 + 25.0298i −1.27398 + 1.27398i
\(387\) 43.1764 17.1495i 2.19478 0.871759i
\(388\) 19.6450 19.6450i 0.997326 0.997326i
\(389\) 28.9627i 1.46847i −0.678896 0.734234i \(-0.737541\pi\)
0.678896 0.734234i \(-0.262459\pi\)
\(390\) −2.44494 4.23476i −0.123804 0.214436i
\(391\) 3.93388 7.19785i 0.198945 0.364011i
\(392\) 2.13953 + 3.70578i 0.108063 + 0.187170i
\(393\) −5.17596 + 2.98834i −0.261093 + 0.150742i
\(394\) −0.766724 2.86145i −0.0386270 0.144158i
\(395\) −2.76879 −0.139313
\(396\) 5.95084 + 22.2088i 0.299041 + 1.11604i
\(397\) −6.51399 + 24.3105i −0.326928 + 1.22011i 0.585432 + 0.810721i \(0.300925\pi\)
−0.912360 + 0.409389i \(0.865742\pi\)
\(398\) 1.28702 + 1.28702i 0.0645127 + 0.0645127i
\(399\) −42.2597 + 24.3987i −2.11563 + 1.22146i
\(400\) 10.7656 + 6.21554i 0.538281 + 0.310777i
\(401\) −19.6853 + 5.27465i −0.983035 + 0.263403i −0.714322 0.699817i \(-0.753265\pi\)
−0.268713 + 0.963220i \(0.586598\pi\)
\(402\) −53.1113 + 14.2311i −2.64895 + 0.709784i
\(403\) −5.78477 + 5.78477i −0.288160 + 0.288160i
\(404\) −10.1890 + 17.6479i −0.506923 + 0.878016i
\(405\) −1.30351 4.86475i −0.0647717 0.241731i
\(406\) 25.7448 14.8638i 1.27769 0.737676i
\(407\) 5.29828 + 9.17688i 0.262626 + 0.454881i
\(408\) −7.72760 + 14.1393i −0.382573 + 0.699997i
\(409\) −9.32919 −0.461299 −0.230649 0.973037i \(-0.574085\pi\)
−0.230649 + 0.973037i \(0.574085\pi\)
\(410\) 4.35916 2.51676i 0.215284 0.124294i
\(411\) 1.45782 + 0.390621i 0.0719089 + 0.0192679i
\(412\) −3.87382 + 6.70966i −0.190850 + 0.330561i
\(413\) −0.303289 1.13189i −0.0149239 0.0556966i
\(414\) −21.3182 21.3182i −1.04773 1.04773i
\(415\) 0.317681 0.0851224i 0.0155944 0.00417850i
\(416\) −19.3702 11.1834i −0.949702 0.548311i
\(417\) −23.2102 13.4004i −1.13661 0.656222i
\(418\) 3.31190 12.3602i 0.161990 0.604556i
\(419\) 4.95108 + 4.95108i 0.241876 + 0.241876i 0.817626 0.575750i \(-0.195290\pi\)
−0.575750 + 0.817626i \(0.695290\pi\)
\(420\) 6.45863 + 1.73059i 0.315149 + 0.0844439i
\(421\) −7.83262 + 13.5665i −0.381739 + 0.661191i −0.991311 0.131540i \(-0.958008\pi\)
0.609572 + 0.792730i \(0.291341\pi\)
\(422\) −23.0482 + 23.0482i −1.12197 + 1.12197i
\(423\) −31.8977 18.4162i −1.55092 0.895424i
\(424\) 5.39005 + 9.33584i 0.261764 + 0.453388i
\(425\) −14.7244 14.0504i −0.714240 0.681545i
\(426\) 74.5007 3.60957
\(427\) −28.8850 + 16.6768i −1.39784 + 0.807046i
\(428\) 16.2049 16.2049i 0.783293 0.783293i
\(429\) 11.4052 0.550650
\(430\) 2.11547 + 2.84197i 0.102017 + 0.137052i
\(431\) 20.3191 + 20.3191i 0.978739 + 0.978739i 0.999779 0.0210401i \(-0.00669776\pi\)
−0.0210401 + 0.999779i \(0.506698\pi\)
\(432\) −23.0991 23.0991i −1.11136 1.11136i
\(433\) −20.9146 + 12.0750i −1.00509 + 0.580290i −0.909751 0.415155i \(-0.863727\pi\)
−0.0953406 + 0.995445i \(0.530394\pi\)
\(434\) 19.8742i 0.953991i
\(435\) 0.891385 3.32669i 0.0427386 0.159503i
\(436\) 12.5817 46.9556i 0.602555 2.24876i
\(437\) 2.44439 + 9.12260i 0.116931 + 0.436393i
\(438\) 27.0466 1.29234
\(439\) −7.12537 26.5922i −0.340075 1.26918i −0.898261 0.439463i \(-0.855169\pi\)
0.558186 0.829716i \(-0.311498\pi\)
\(440\) −0.339229 + 0.195854i −0.0161721 + 0.00933698i
\(441\) 24.6347 1.17308
\(442\) 18.1845 + 17.3521i 0.864949 + 0.825355i
\(443\) −3.46669 + 6.00448i −0.164707 + 0.285282i −0.936551 0.350530i \(-0.886001\pi\)
0.771844 + 0.635812i \(0.219335\pi\)
\(444\) 59.5569 + 34.3852i 2.82644 + 1.63185i
\(445\) −0.221204 0.825543i −0.0104861 0.0391345i
\(446\) −31.7841 −1.50502
\(447\) 15.7098 + 58.6298i 0.743048 + 2.77309i
\(448\) 36.7375 9.84379i 1.73568 0.465075i
\(449\) 2.84588 10.6210i 0.134305 0.501234i −0.865695 0.500573i \(-0.833123\pi\)
1.00000 0.000661311i \(-0.000210502\pi\)
\(450\) −64.7824 + 37.4021i −3.05387 + 1.76315i
\(451\) 11.7403i 0.552827i
\(452\) −9.73318 9.73318i −0.457810 0.457810i
\(453\) −14.6375 + 54.6277i −0.687727 + 2.56663i
\(454\) −59.7346 16.0059i −2.80349 0.751192i
\(455\) 1.16506 2.01794i 0.0546187 0.0946024i
\(456\) −4.80170 17.9202i −0.224860 0.839189i
\(457\) 35.5566i 1.66327i −0.555325 0.831633i \(-0.687406\pi\)
0.555325 0.831633i \(-0.312594\pi\)
\(458\) −0.842692 + 1.45958i −0.0393764 + 0.0682019i
\(459\) 27.8190 + 45.6790i 1.29848 + 2.13211i
\(460\) 0.647062 1.12074i 0.0301694 0.0522549i
\(461\) −27.1012 + 15.6469i −1.26223 + 0.728748i −0.973505 0.228665i \(-0.926564\pi\)
−0.288723 + 0.957413i \(0.593231\pi\)
\(462\) −19.5919 + 19.5919i −0.911499 + 0.911499i
\(463\) 12.5754 + 21.7812i 0.584427 + 1.01226i 0.994947 + 0.100405i \(0.0320140\pi\)
−0.410520 + 0.911852i \(0.634653\pi\)
\(464\) −2.79858 10.4445i −0.129921 0.484872i
\(465\) −1.62811 1.62811i −0.0755018 0.0755018i
\(466\) 13.0060 3.48494i 0.602490 0.161437i
\(467\) −28.8492 + 16.6561i −1.33498 + 0.770753i −0.986059 0.166398i \(-0.946786\pi\)
−0.348925 + 0.937151i \(0.613453\pi\)
\(468\) 45.0329 25.9998i 2.08165 1.20184i
\(469\) −18.5271 18.5271i −0.855501 0.855501i
\(470\) 0.726983 2.71314i 0.0335332 0.125148i
\(471\) −34.4297 + 34.4297i −1.58644 + 1.58644i
\(472\) 0.445516 0.0205065
\(473\) −8.20764 + 0.958774i −0.377388 + 0.0440845i
\(474\) 74.4599i 3.42006i
\(475\) 23.4334 1.07520
\(476\) −34.3605 + 0.804857i −1.57491 + 0.0368906i
\(477\) 62.0613 2.84159
\(478\) −35.2409 + 20.3463i −1.61188 + 0.930619i
\(479\) 12.7889 + 3.42677i 0.584339 + 0.156573i 0.538865 0.842392i \(-0.318853\pi\)
0.0454745 + 0.998966i \(0.485520\pi\)
\(480\) 3.14754 5.45170i 0.143665 0.248835i
\(481\) 16.9460 16.9460i 0.772670 0.772670i
\(482\) −16.1033 + 4.31487i −0.733486 + 0.196537i
\(483\) 5.29276 19.7529i 0.240829 0.898786i
\(484\) 24.2389i 1.10177i
\(485\) 2.35981 1.36244i 0.107154 0.0618651i
\(486\) 50.4228 13.5108i 2.28723 0.612860i
\(487\) 23.6007 6.32379i 1.06945 0.286558i 0.319183 0.947693i \(-0.396592\pi\)
0.750267 + 0.661135i \(0.229925\pi\)
\(488\) −3.28202 12.2487i −0.148570 0.554471i
\(489\) −5.81922 −0.263154
\(490\) 0.486231 + 1.81464i 0.0219657 + 0.0819770i
\(491\) −0.222654 0.128549i −0.0100482 0.00580134i 0.494967 0.868912i \(-0.335180\pi\)
−0.505016 + 0.863110i \(0.668513\pi\)
\(492\) 38.0964 + 65.9850i 1.71752 + 2.97483i
\(493\) 0.414564 + 17.6983i 0.0186710 + 0.797091i
\(494\) −28.9399 −1.30207
\(495\) 2.25508i 0.101358i
\(496\) −6.98258 1.87098i −0.313527 0.0840094i
\(497\) 17.7504 + 30.7447i 0.796216 + 1.37909i
\(498\) 2.28916 + 8.54326i 0.102580 + 0.382833i
\(499\) −6.20087 + 1.66152i −0.277589 + 0.0743798i −0.394928 0.918712i \(-0.629230\pi\)
0.117339 + 0.993092i \(0.462564\pi\)
\(500\) −4.57034 4.57034i −0.204392 0.204392i
\(501\) 14.3190 + 8.26709i 0.639727 + 0.369346i
\(502\) 17.6839 + 10.2098i 0.789269 + 0.455685i
\(503\) −5.71257 + 1.53068i −0.254711 + 0.0682496i −0.383915 0.923368i \(-0.625424\pi\)
0.129204 + 0.991618i \(0.458758\pi\)
\(504\) −7.30408 + 27.2592i −0.325349 + 1.21422i
\(505\) −1.41327 + 1.41327i −0.0628899 + 0.0628899i
\(506\) 2.68127 + 4.64410i 0.119197 + 0.206455i
\(507\) 4.00891 + 14.9615i 0.178042 + 0.664462i
\(508\) 49.8970i 2.21382i
\(509\) −4.51394 + 7.81837i −0.200077 + 0.346543i −0.948553 0.316618i \(-0.897453\pi\)
0.748476 + 0.663162i \(0.230786\pi\)
\(510\) −4.88371 + 5.11799i −0.216255 + 0.226629i
\(511\) 6.44408 + 11.1615i 0.285069 + 0.493755i
\(512\) 25.9623i 1.14738i
\(513\) −59.4813 15.9380i −2.62616 0.703678i
\(514\) −62.1173 −2.73987
\(515\) −0.537321 + 0.537321i −0.0236772 + 0.0236772i
\(516\) −43.0191 + 32.0220i −1.89381 + 1.40969i
\(517\) 4.63253 + 4.63253i 0.203739 + 0.203739i
\(518\) 58.2197i 2.55803i
\(519\) 25.5271 14.7381i 1.12051 0.646929i
\(520\) 0.626419 + 0.626419i 0.0274703 + 0.0274703i
\(521\) 7.19399 26.8483i 0.315174 1.17625i −0.608653 0.793437i \(-0.708290\pi\)
0.923827 0.382810i \(-0.125044\pi\)
\(522\) 62.8498 + 16.8405i 2.75086 + 0.737090i
\(523\) 22.2739 38.5795i 0.973970 1.68697i 0.290676 0.956822i \(-0.406120\pi\)
0.683294 0.730144i \(-0.260547\pi\)
\(524\) 3.42725 3.42725i 0.149720 0.149720i
\(525\) −43.9417 25.3698i −1.91777 1.10723i
\(526\) −20.8622 36.1343i −0.909634 1.57553i
\(527\) 10.3855 + 5.67602i 0.452398 + 0.247251i
\(528\) 5.03901 + 8.72783i 0.219295 + 0.379830i
\(529\) 16.4909 + 9.52105i 0.716997 + 0.413959i
\(530\) 1.22494 + 4.57155i 0.0532082 + 0.198576i
\(531\) 1.28242 2.22122i 0.0556524 0.0963927i
\(532\) 27.9821 27.9821i 1.21318 1.21318i
\(533\) 25.6471 6.87212i 1.11090 0.297665i
\(534\) 22.2010 5.94873i 0.960729 0.257427i
\(535\) 1.94657 1.12385i 0.0841576 0.0485884i
\(536\) 8.62691 4.98075i 0.372626 0.215136i
\(537\) 37.7614 + 37.7614i 1.62953 + 1.62953i
\(538\) −20.2172 20.2172i −0.871625 0.871625i
\(539\) −4.23249 1.13409i −0.182306 0.0488488i
\(540\) 4.21898 + 7.30748i 0.181556 + 0.314464i
\(541\) 5.85803 + 21.8625i 0.251857 + 0.939941i 0.969812 + 0.243853i \(0.0784113\pi\)
−0.717956 + 0.696089i \(0.754922\pi\)
\(542\) 1.46016 + 0.843023i 0.0627192 + 0.0362110i
\(543\) 63.1780 2.71123
\(544\) −7.64067 + 31.4431i −0.327591 + 1.34811i
\(545\) 2.38392 4.12908i 0.102116 0.176870i
\(546\) 54.2675 + 31.3314i 2.32243 + 1.34086i
\(547\) −9.05844 2.42720i −0.387311 0.103780i 0.0599087 0.998204i \(-0.480919\pi\)
−0.447219 + 0.894424i \(0.647586\pi\)
\(548\) −1.22394 −0.0522841
\(549\) −70.5159 18.8947i −3.00954 0.806405i
\(550\) 12.8521 3.44372i 0.548016 0.146841i
\(551\) −14.4130 14.4130i −0.614013 0.614013i
\(552\) 6.73317 + 3.88740i 0.286583 + 0.165459i
\(553\) 30.7278 17.7407i 1.30668 0.754412i
\(554\) −2.58019 + 9.62938i −0.109622 + 0.409113i
\(555\) 4.76941 + 4.76941i 0.202450 + 0.202450i
\(556\) 20.9939 + 5.62530i 0.890339 + 0.238566i
\(557\) 1.78658 0.0757000 0.0378500 0.999283i \(-0.487949\pi\)
0.0378500 + 0.999283i \(0.487949\pi\)
\(558\) 30.7592 30.7592i 1.30214 1.30214i
\(559\) 6.89880 + 17.3688i 0.291788 + 0.734620i
\(560\) 2.05896 0.0870071
\(561\) −4.64256 15.8334i −0.196009 0.668486i
\(562\) 17.5172 + 30.3407i 0.738919 + 1.27985i
\(563\) 30.7948i 1.29785i −0.760854 0.648924i \(-0.775219\pi\)
0.760854 0.648924i \(-0.224781\pi\)
\(564\) 41.0690 + 11.0044i 1.72932 + 0.463369i
\(565\) −0.675023 1.16917i −0.0283984 0.0491875i
\(566\) −6.92030 25.8269i −0.290882 1.08559i
\(567\) 45.6365 + 45.6365i 1.91655 + 1.91655i
\(568\) −13.0372 + 3.49332i −0.547031 + 0.146576i
\(569\) 16.4388 9.49095i 0.689150 0.397881i −0.114143 0.993464i \(-0.536412\pi\)
0.803294 + 0.595583i \(0.203079\pi\)
\(570\) 8.14509i 0.341160i
\(571\) 5.76213 21.5046i 0.241138 0.899939i −0.734148 0.678990i \(-0.762418\pi\)
0.975285 0.220949i \(-0.0709153\pi\)
\(572\) −8.93404 + 2.39387i −0.373551 + 0.100093i
\(573\) 21.5274 + 80.3412i 0.899319 + 3.35630i
\(574\) −32.2517 + 55.8616i −1.34616 + 2.33162i
\(575\) −6.94401 + 6.94401i −0.289585 + 0.289585i
\(576\) 72.0937 + 41.6233i 3.00391 + 1.73431i
\(577\) 17.0816 29.5862i 0.711117 1.23169i −0.253322 0.967382i \(-0.581523\pi\)
0.964438 0.264308i \(-0.0851436\pi\)
\(578\) 16.6871 32.3081i 0.694091 1.34384i
\(579\) −26.2763 45.5118i −1.09200 1.89141i
\(580\) 2.79299i 0.115973i
\(581\) −2.98019 + 2.98019i −0.123639 + 0.123639i
\(582\) 36.6394 + 63.4613i 1.51875 + 2.63056i
\(583\) −10.6628 2.85708i −0.441606 0.118328i
\(584\) −4.73301 + 1.26821i −0.195853 + 0.0524788i
\(585\) 4.92631 1.32000i 0.203678 0.0545753i
\(586\) 12.6881i 0.524141i
\(587\) 6.21206 + 3.58654i 0.256399 + 0.148032i 0.622691 0.782468i \(-0.286039\pi\)
−0.366292 + 0.930500i \(0.619373\pi\)
\(588\) −27.4683 + 7.36012i −1.13277 + 0.303526i
\(589\) −13.1626 + 3.52691i −0.542356 + 0.145324i
\(590\) 0.188931 + 0.0506240i 0.00777818 + 0.00208416i
\(591\) 4.39809 0.180913
\(592\) 20.4549 + 5.48087i 0.840691 + 0.225262i
\(593\) 31.5726 + 18.2285i 1.29653 + 0.748553i 0.979803 0.199963i \(-0.0640823\pi\)
0.316728 + 0.948516i \(0.397416\pi\)
\(594\) −34.9649 −1.43463
\(595\) −3.27566 0.795986i −0.134289 0.0326323i
\(596\) −24.6119 42.6290i −1.00814 1.74615i
\(597\) −2.34020 + 1.35112i −0.0957781 + 0.0552975i
\(598\) 8.57577 8.57577i 0.350689 0.350689i
\(599\) 21.3875 + 37.0443i 0.873870 + 1.51359i 0.857961 + 0.513714i \(0.171731\pi\)
0.0159088 + 0.999873i \(0.494936\pi\)
\(600\) 13.6406 13.6406i 0.556876 0.556876i
\(601\) −6.45398 6.45398i −0.263263 0.263263i 0.563115 0.826378i \(-0.309603\pi\)
−0.826378 + 0.563115i \(0.809603\pi\)
\(602\) −41.6869 17.9853i −1.69903 0.733026i
\(603\) 57.3486i 2.33542i
\(604\) 45.8637i 1.86617i
\(605\) −0.615302 + 2.29634i −0.0250156 + 0.0933594i
\(606\) −38.0065 38.0065i −1.54391 1.54391i
\(607\) 1.27094 + 0.340546i 0.0515857 + 0.0138223i 0.284520 0.958670i \(-0.408166\pi\)
−0.232934 + 0.972493i \(0.574833\pi\)
\(608\) −18.6282 32.2650i −0.755473 1.30852i
\(609\) 11.4229 + 42.6308i 0.462879 + 1.72749i
\(610\) 5.56727i 0.225412i
\(611\) 7.40834 12.8316i 0.299709 0.519112i
\(612\) −54.4253 51.9339i −2.20001 2.09931i
\(613\) −13.0844 −0.528474 −0.264237 0.964458i \(-0.585120\pi\)
−0.264237 + 0.964458i \(0.585120\pi\)
\(614\) −12.4827 + 7.20688i −0.503760 + 0.290846i
\(615\) 1.93415 + 7.21833i 0.0779923 + 0.291071i
\(616\) 2.50983 4.34715i 0.101124 0.175152i
\(617\) 8.24784 + 30.7814i 0.332046 + 1.23921i 0.907037 + 0.421052i \(0.138339\pi\)
−0.574991 + 0.818160i \(0.694994\pi\)
\(618\) −14.4499 14.4499i −0.581261 0.581261i
\(619\) −19.0401 + 5.10178i −0.765287 + 0.205058i −0.620288 0.784374i \(-0.712984\pi\)
−0.144999 + 0.989432i \(0.546318\pi\)
\(620\) 1.61707 + 0.933618i 0.0649433 + 0.0374950i
\(621\) 22.3490 12.9032i 0.896833 0.517787i
\(622\) 5.76417 21.5122i 0.231122 0.862560i
\(623\) 7.74447 + 7.74447i 0.310276 + 0.310276i
\(624\) 16.1168 16.1168i 0.645186 0.645186i
\(625\) 12.0235 + 20.8254i 0.480941 + 0.833015i
\(626\) −53.2373 14.2649i −2.12779 0.570139i
\(627\) 16.4525 + 9.49886i 0.657050 + 0.379348i
\(628\) 19.7433 34.1963i 0.787842 1.36458i
\(629\) −30.4234 16.6274i −1.21306 0.662979i
\(630\) −6.19493 + 10.7299i −0.246812 + 0.427491i
\(631\) −1.80344 1.04121i −0.0717936 0.0414501i 0.463673 0.886006i \(-0.346531\pi\)
−0.535467 + 0.844556i \(0.679864\pi\)
\(632\) 3.49141 + 13.0301i 0.138881 + 0.518310i
\(633\) −24.1960 41.9086i −0.961703 1.66572i
\(634\) 28.6024 28.6024i 1.13595 1.13595i
\(635\) −1.26663 + 4.72712i −0.0502646 + 0.187590i
\(636\) −69.2000 + 18.5421i −2.74396 + 0.735241i
\(637\) 9.90989i 0.392644i
\(638\) −10.0229 5.78675i −0.396812 0.229100i
\(639\) −20.1111 + 75.0557i −0.795584 + 2.96916i
\(640\) −0.616979 + 2.30260i −0.0243882 + 0.0910182i
\(641\) 20.0488 20.0488i 0.791881 0.791881i −0.189919 0.981800i \(-0.560822\pi\)
0.981800 + 0.189919i \(0.0608224\pi\)
\(642\) 30.2233 + 52.3483i 1.19282 + 2.06602i
\(643\) 4.18876 4.18876i 0.165188 0.165188i −0.619672 0.784861i \(-0.712734\pi\)
0.784861 + 0.619672i \(0.212734\pi\)
\(644\) 16.5839i 0.653497i
\(645\) −4.88840 + 1.94166i −0.192481 + 0.0764526i
\(646\) 11.7802 + 40.1761i 0.463485 + 1.58071i
\(647\) −34.5217 −1.35719 −0.678593 0.734514i \(-0.737410\pi\)
−0.678593 + 0.734514i \(0.737410\pi\)
\(648\) −21.2501 + 12.2687i −0.834782 + 0.481962i
\(649\) −0.322590 + 0.322590i −0.0126628 + 0.0126628i
\(650\) −15.0459 26.0603i −0.590149 1.02217i
\(651\) 28.5006 + 7.63671i 1.11703 + 0.299306i
\(652\) 4.55836 1.22141i 0.178519 0.0478340i
\(653\) −15.7344 15.7344i −0.615734 0.615734i 0.328700 0.944434i \(-0.393389\pi\)
−0.944434 + 0.328700i \(0.893389\pi\)
\(654\) 111.041 + 64.1098i 4.34206 + 2.50689i
\(655\) 0.411690 0.237689i 0.0160861 0.00928729i
\(656\) 16.5902 + 16.5902i 0.647738 + 0.647738i
\(657\) −7.30110 + 27.2481i −0.284843 + 1.06305i
\(658\) 9.31612 + 34.7682i 0.363180 + 1.35541i
\(659\) −12.7535 + 22.0897i −0.496806 + 0.860493i −0.999993 0.00368423i \(-0.998827\pi\)
0.503187 + 0.864177i \(0.332161\pi\)
\(660\) −0.673750 2.51447i −0.0262257 0.0978755i
\(661\) 6.54639i 0.254625i −0.991863 0.127313i \(-0.959365\pi\)
0.991863 0.127313i \(-0.0406351\pi\)
\(662\) 29.2595 50.6790i 1.13720 1.96969i
\(663\) −31.8713 + 19.4099i −1.23778 + 0.753819i
\(664\) −0.801182 1.38769i −0.0310919 0.0538528i
\(665\) 3.36129 1.94064i 0.130345 0.0752548i
\(666\) −90.1064 + 90.1064i −3.49155 + 3.49155i
\(667\) 8.54198 0.330747
\(668\) −12.9517 3.47040i −0.501116 0.134274i
\(669\) 12.2131 45.5800i 0.472187 1.76223i
\(670\) 4.22441 1.13193i 0.163203 0.0437302i
\(671\) 11.2455 + 6.49259i 0.434127 + 0.250644i
\(672\) 80.6701i 3.11192i
\(673\) −19.3654 + 5.18894i −0.746481 + 0.200019i −0.611957 0.790891i \(-0.709617\pi\)
−0.134524 + 0.990910i \(0.542951\pi\)
\(674\) 0.505943 0.135567i 0.0194882 0.00522185i
\(675\) −16.5723 61.8487i −0.637869 2.38056i
\(676\) −6.28059 10.8783i −0.241561 0.418396i
\(677\) −7.16646 + 7.16646i −0.275430 + 0.275430i −0.831281 0.555852i \(-0.812392\pi\)
0.555852 + 0.831281i \(0.312392\pi\)
\(678\) 31.4421 18.1531i 1.20753 0.697165i
\(679\) −17.4593 + 30.2404i −0.670027 + 1.16052i
\(680\) 0.614644 1.12462i 0.0235705 0.0431272i
\(681\) 45.9064 79.5123i 1.75914 3.04692i
\(682\) −6.70078 + 3.86870i −0.256586 + 0.148140i
\(683\) −12.5973 3.37543i −0.482021 0.129157i 0.00962249 0.999954i \(-0.496937\pi\)
−0.491644 + 0.870797i \(0.663604\pi\)
\(684\) 86.6158 3.31184
\(685\) −0.115953 0.0310696i −0.00443034 0.00118711i
\(686\) 17.2469 + 17.2469i 0.658490 + 0.658490i
\(687\) −1.76931 1.76931i −0.0675035 0.0675035i
\(688\) −10.2434 + 12.9531i −0.390526 + 0.493832i
\(689\) 24.9656i 0.951115i
\(690\) 2.41363 + 2.41363i 0.0918855 + 0.0918855i
\(691\) −9.32221 + 34.7910i −0.354634 + 1.32351i 0.526311 + 0.850292i \(0.323575\pi\)
−0.880945 + 0.473219i \(0.843092\pi\)
\(692\) −16.9027 + 16.9027i −0.642543 + 0.642543i
\(693\) −14.4491 25.0266i −0.548877 0.950683i
\(694\) −26.7810 7.17593i −1.01659 0.272395i
\(695\) 1.84611 + 1.06585i 0.0700271 + 0.0404302i
\(696\) −16.7796 −0.636031
\(697\) −19.9801 32.8075i −0.756800 1.24267i
\(698\) 10.8241 + 18.7479i 0.409698 + 0.709618i
\(699\) 19.9903i 0.756104i
\(700\) 39.7457 + 10.6498i 1.50225 + 0.402526i
\(701\) 3.80344 6.58775i 0.143654 0.248816i −0.785216 0.619222i \(-0.787448\pi\)
0.928870 + 0.370406i \(0.120781\pi\)
\(702\) 20.4666 + 76.3825i 0.772463 + 2.88287i
\(703\) 38.5588 10.3318i 1.45427 0.389671i
\(704\) −10.4702 10.4702i −0.394612 0.394612i
\(705\) 3.61143 + 2.08506i 0.136014 + 0.0785280i
\(706\) −63.1283 36.4472i −2.37587 1.37171i
\(707\) 6.62900 24.7398i 0.249309 0.930435i
\(708\) −0.766299 + 2.85987i −0.0287993 + 0.107480i
\(709\) 9.00519 9.00519i 0.338197 0.338197i −0.517491 0.855688i \(-0.673134\pi\)
0.855688 + 0.517491i \(0.173134\pi\)
\(710\) −5.92570 −0.222387
\(711\) 75.0146 + 20.1001i 2.81327 + 0.753813i
\(712\) −3.60612 + 2.08199i −0.135145 + 0.0780260i
\(713\) 2.85535 4.94561i 0.106934 0.185214i
\(714\) 21.4061 88.0909i 0.801103 3.29672i
\(715\) −0.907158 −0.0339258
\(716\) −37.5054 21.6538i −1.40164 0.809239i
\(717\) −15.6363 58.3553i −0.583947 2.17932i
\(718\) −31.7295 + 54.9571i −1.18413 + 2.05098i
\(719\) 4.47494 + 1.19906i 0.166887 + 0.0447172i 0.341295 0.939956i \(-0.389134\pi\)
−0.174408 + 0.984673i \(0.555801\pi\)
\(720\) 3.18665 + 3.18665i 0.118760 + 0.118760i
\(721\) 2.52032 9.40596i 0.0938616 0.350296i
\(722\) −6.55091 3.78217i −0.243800 0.140758i
\(723\) 24.7510i 0.920499i
\(724\) −49.4891 + 13.2606i −1.83925 + 0.492825i
\(725\) 5.48549 20.4721i 0.203726 0.760315i
\(726\) −61.7544 16.5470i −2.29192 0.614118i
\(727\) 36.3213 1.34708 0.673541 0.739150i \(-0.264773\pi\)
0.673541 + 0.739150i \(0.264773\pi\)
\(728\) −10.9657 2.93824i −0.406414 0.108898i
\(729\) 17.6832i 0.654932i
\(730\) −2.15125 −0.0796214
\(731\) 21.3041 16.6474i 0.787961 0.615725i
\(732\) 84.2722 3.11479
\(733\) 40.9120i 1.51112i −0.655080 0.755559i \(-0.727365\pi\)
0.655080 0.755559i \(-0.272635\pi\)
\(734\) −26.0994 6.99331i −0.963346 0.258128i
\(735\) −2.78912 −0.102878
\(736\) 15.0812 + 4.04099i 0.555899 + 0.148953i
\(737\) −2.64012 + 9.85307i −0.0972501 + 0.362942i
\(738\) −136.373 + 36.5410i −5.01995 + 1.34509i
\(739\) 8.75210i 0.321951i −0.986958 0.160976i \(-0.948536\pi\)
0.986958 0.160976i \(-0.0514641\pi\)
\(740\) −4.73708 2.73496i −0.174139 0.100539i
\(741\) 11.1203 41.5014i 0.408513 1.52459i
\(742\) −42.8860 42.8860i −1.57440 1.57440i
\(743\) −9.60116 2.57262i −0.352232 0.0943804i 0.0783645 0.996925i \(-0.475030\pi\)
−0.430597 + 0.902544i \(0.641697\pi\)
\(744\) −5.60896 + 9.71501i −0.205635 + 0.356170i
\(745\) −1.24954 4.66334i −0.0457795 0.170852i
\(746\) 39.1890 + 22.6258i 1.43481 + 0.828389i
\(747\) −9.22485 −0.337520
\(748\) 6.95996 + 11.4283i 0.254481 + 0.417861i
\(749\) −14.4019 + 24.9449i −0.526235 + 0.911466i
\(750\) 14.7640 8.52401i 0.539106 0.311253i
\(751\) 27.1983 + 7.28777i 0.992481 + 0.265934i 0.718292 0.695742i \(-0.244924\pi\)
0.274189 + 0.961676i \(0.411591\pi\)
\(752\) 13.0925 0.477434
\(753\) −21.4364 + 21.4364i −0.781187 + 0.781187i
\(754\) −6.77451 + 25.2828i −0.246713 + 0.920746i
\(755\) 1.16425 4.34502i 0.0423712 0.158132i
\(756\) −93.6437 54.0652i −3.40579 1.96633i
\(757\) −32.0766 18.5194i −1.16584 0.673100i −0.213146