Properties

Label 403.2.k.e.66.1
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.k (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(17\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 66.1
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.831221 - 2.55823i) q^{2} +(-0.796905 + 2.45262i) q^{3} +(-4.23560 + 3.07735i) q^{4} -0.866460 q^{5} +6.93679 q^{6} +(1.08832 - 0.790714i) q^{7} +(7.04097 + 5.11556i) q^{8} +(-2.95324 - 2.14566i) q^{9} +O(q^{10})\) \(q+(-0.831221 - 2.55823i) q^{2} +(-0.796905 + 2.45262i) q^{3} +(-4.23560 + 3.07735i) q^{4} -0.866460 q^{5} +6.93679 q^{6} +(1.08832 - 0.790714i) q^{7} +(7.04097 + 5.11556i) q^{8} +(-2.95324 - 2.14566i) q^{9} +(0.720220 + 2.21661i) q^{10} +(-0.806312 + 0.585820i) q^{11} +(-4.17219 - 12.8407i) q^{12} +(0.309017 - 0.951057i) q^{13} +(-2.92747 - 2.12693i) q^{14} +(0.690486 - 2.12510i) q^{15} +(3.99850 - 12.3061i) q^{16} +(-4.93920 - 3.58854i) q^{17} +(-3.03430 + 9.33861i) q^{18} +(-0.793078 - 2.44084i) q^{19} +(3.66998 - 2.66640i) q^{20} +(1.07203 + 3.29937i) q^{21} +(2.16889 + 1.57579i) q^{22} +(0.357550 + 0.259775i) q^{23} +(-18.1575 + 13.1922i) q^{24} -4.24925 q^{25} -2.68989 q^{26} +(1.35697 - 0.985896i) q^{27} +(-2.17641 + 6.69830i) q^{28} +(-2.71553 - 8.35753i) q^{29} -6.01045 q^{30} +(-0.833293 + 5.50505i) q^{31} -17.3993 q^{32} +(-0.794240 - 2.44442i) q^{33} +(-5.07476 + 15.6185i) q^{34} +(-0.942990 + 0.685122i) q^{35} +19.1117 q^{36} +2.91856 q^{37} +(-5.58503 + 4.05776i) q^{38} +(2.08632 + 1.51580i) q^{39} +(-6.10071 - 4.43243i) q^{40} +(-3.33326 - 10.2587i) q^{41} +(7.54948 - 5.48502i) q^{42} +(-2.49495 - 7.67867i) q^{43} +(1.61245 - 4.96260i) q^{44} +(2.55887 + 1.85913i) q^{45} +(0.367363 - 1.13063i) q^{46} +(2.69197 - 8.28503i) q^{47} +(26.9958 + 19.6136i) q^{48} +(-1.60390 + 4.93629i) q^{49} +(3.53206 + 10.8706i) q^{50} +(12.7374 - 9.25426i) q^{51} +(1.61786 + 4.97925i) q^{52} +(6.09781 + 4.43032i) q^{53} +(-3.65009 - 2.65195i) q^{54} +(0.698637 - 0.507589i) q^{55} +11.7078 q^{56} +6.61847 q^{57} +(-19.1233 + 13.8939i) q^{58} +(0.0998181 - 0.307209i) q^{59} +(3.61504 + 11.1259i) q^{60} +4.77967 q^{61} +(14.7759 - 2.44416i) q^{62} -4.91069 q^{63} +(6.46568 + 19.8993i) q^{64} +(-0.267751 + 0.824052i) q^{65} +(-5.59321 + 4.06371i) q^{66} -3.10226 q^{67} +31.9636 q^{68} +(-0.922063 + 0.669918i) q^{69} +(2.53654 + 1.84290i) q^{70} +(-8.58190 - 6.23511i) q^{71} +(-9.81745 - 30.2150i) q^{72} +(-9.25387 + 6.72333i) q^{73} +(-2.42597 - 7.46637i) q^{74} +(3.38625 - 10.4218i) q^{75} +(10.8705 + 7.89787i) q^{76} +(-0.414313 + 1.27512i) q^{77} +(2.14358 - 6.59728i) q^{78} +(5.44156 + 3.95353i) q^{79} +(-3.46454 + 10.6627i) q^{80} +(-2.04746 - 6.30144i) q^{81} +(-23.4735 + 17.0545i) q^{82} +(0.611921 + 1.88330i) q^{83} +(-14.6940 - 10.6758i) q^{84} +(4.27962 + 3.10932i) q^{85} +(-17.5700 + 12.7653i) q^{86} +22.6619 q^{87} -8.67401 q^{88} +(2.96544 - 2.15452i) q^{89} +(2.62910 - 8.09153i) q^{90} +(-0.415703 - 1.27940i) q^{91} -2.31386 q^{92} +(-12.8378 - 6.43076i) q^{93} -23.4327 q^{94} +(0.687170 + 2.11489i) q^{95} +(13.8656 - 42.6739i) q^{96} +(4.50908 - 3.27604i) q^{97} +13.9614 q^{98} +3.63820 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.831221 2.55823i −0.587762 1.80895i −0.587884 0.808945i \(-0.700039\pi\)
0.000122172 1.00000i \(-0.499961\pi\)
\(3\) −0.796905 + 2.45262i −0.460093 + 1.41602i 0.404956 + 0.914336i \(0.367287\pi\)
−0.865050 + 0.501686i \(0.832713\pi\)
\(4\) −4.23560 + 3.07735i −2.11780 + 1.53867i
\(5\) −0.866460 −0.387493 −0.193746 0.981052i \(-0.562064\pi\)
−0.193746 + 0.981052i \(0.562064\pi\)
\(6\) 6.93679 2.83193
\(7\) 1.08832 0.790714i 0.411348 0.298862i −0.362799 0.931867i \(-0.618179\pi\)
0.774147 + 0.633005i \(0.218179\pi\)
\(8\) 7.04097 + 5.11556i 2.48936 + 1.80862i
\(9\) −2.95324 2.14566i −0.984415 0.715219i
\(10\) 0.720220 + 2.21661i 0.227753 + 0.700953i
\(11\) −0.806312 + 0.585820i −0.243112 + 0.176631i −0.702669 0.711517i \(-0.748008\pi\)
0.459557 + 0.888149i \(0.348008\pi\)
\(12\) −4.17219 12.8407i −1.20441 3.70679i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) −2.92747 2.12693i −0.782400 0.568447i
\(15\) 0.690486 2.12510i 0.178283 0.548698i
\(16\) 3.99850 12.3061i 0.999624 3.07653i
\(17\) −4.93920 3.58854i −1.19793 0.870348i −0.203852 0.979002i \(-0.565346\pi\)
−0.994080 + 0.108654i \(0.965346\pi\)
\(18\) −3.03430 + 9.33861i −0.715191 + 2.20113i
\(19\) −0.793078 2.44084i −0.181945 0.559968i 0.817938 0.575307i \(-0.195117\pi\)
−0.999882 + 0.0153389i \(0.995117\pi\)
\(20\) 3.66998 2.66640i 0.820633 0.596224i
\(21\) 1.07203 + 3.29937i 0.233936 + 0.719982i
\(22\) 2.16889 + 1.57579i 0.462408 + 0.335959i
\(23\) 0.357550 + 0.259775i 0.0745543 + 0.0541668i 0.624438 0.781074i \(-0.285328\pi\)
−0.549884 + 0.835241i \(0.685328\pi\)
\(24\) −18.1575 + 13.1922i −3.70639 + 2.69285i
\(25\) −4.24925 −0.849849
\(26\) −2.68989 −0.527530
\(27\) 1.35697 0.985896i 0.261149 0.189736i
\(28\) −2.17641 + 6.69830i −0.411303 + 1.26586i
\(29\) −2.71553 8.35753i −0.504260 1.55195i −0.802011 0.597310i \(-0.796236\pi\)
0.297750 0.954644i \(-0.403764\pi\)
\(30\) −6.01045 −1.09735
\(31\) −0.833293 + 5.50505i −0.149664 + 0.988737i
\(32\) −17.3993 −3.07579
\(33\) −0.794240 2.44442i −0.138259 0.425519i
\(34\) −5.07476 + 15.6185i −0.870314 + 2.67855i
\(35\) −0.942990 + 0.685122i −0.159394 + 0.115807i
\(36\) 19.1117 3.18528
\(37\) 2.91856 0.479809 0.239904 0.970797i \(-0.422884\pi\)
0.239904 + 0.970797i \(0.422884\pi\)
\(38\) −5.58503 + 4.05776i −0.906011 + 0.658255i
\(39\) 2.08632 + 1.51580i 0.334079 + 0.242723i
\(40\) −6.10071 4.43243i −0.964608 0.700829i
\(41\) −3.33326 10.2587i −0.520567 1.60214i −0.772918 0.634505i \(-0.781204\pi\)
0.252351 0.967636i \(-0.418796\pi\)
\(42\) 7.54948 5.48502i 1.16491 0.846356i
\(43\) −2.49495 7.67867i −0.380476 1.17099i −0.939709 0.341975i \(-0.888904\pi\)
0.559233 0.829011i \(-0.311096\pi\)
\(44\) 1.61245 4.96260i 0.243085 0.748140i
\(45\) 2.55887 + 1.85913i 0.381454 + 0.277142i
\(46\) 0.367363 1.13063i 0.0541647 0.166702i
\(47\) 2.69197 8.28503i 0.392664 1.20850i −0.538102 0.842880i \(-0.680858\pi\)
0.930766 0.365616i \(-0.119142\pi\)
\(48\) 26.9958 + 19.6136i 3.89651 + 2.83098i
\(49\) −1.60390 + 4.93629i −0.229128 + 0.705184i
\(50\) 3.53206 + 10.8706i 0.499509 + 1.53733i
\(51\) 12.7374 9.25426i 1.78359 1.29586i
\(52\) 1.61786 + 4.97925i 0.224356 + 0.690498i
\(53\) 6.09781 + 4.43032i 0.837599 + 0.608551i 0.921699 0.387906i \(-0.126802\pi\)
−0.0841000 + 0.996457i \(0.526802\pi\)
\(54\) −3.65009 2.65195i −0.496715 0.360885i
\(55\) 0.698637 0.507589i 0.0942042 0.0684433i
\(56\) 11.7078 1.56452
\(57\) 6.61847 0.876638
\(58\) −19.1233 + 13.8939i −2.51101 + 1.82436i
\(59\) 0.0998181 0.307209i 0.0129952 0.0399952i −0.944349 0.328946i \(-0.893307\pi\)
0.957344 + 0.288951i \(0.0933065\pi\)
\(60\) 3.61504 + 11.1259i 0.466699 + 1.43635i
\(61\) 4.77967 0.611974 0.305987 0.952036i \(-0.401014\pi\)
0.305987 + 0.952036i \(0.401014\pi\)
\(62\) 14.7759 2.44416i 1.87654 0.310408i
\(63\) −4.91069 −0.618689
\(64\) 6.46568 + 19.8993i 0.808210 + 2.48742i
\(65\) −0.267751 + 0.824052i −0.0332104 + 0.102211i
\(66\) −5.59321 + 4.06371i −0.688477 + 0.500208i
\(67\) −3.10226 −0.379002 −0.189501 0.981881i \(-0.560687\pi\)
−0.189501 + 0.981881i \(0.560687\pi\)
\(68\) 31.9636 3.87616
\(69\) −0.922063 + 0.669918i −0.111003 + 0.0806487i
\(70\) 2.53654 + 1.84290i 0.303174 + 0.220269i
\(71\) −8.58190 6.23511i −1.01848 0.739972i −0.0525122 0.998620i \(-0.516723\pi\)
−0.965971 + 0.258649i \(0.916723\pi\)
\(72\) −9.81745 30.2150i −1.15700 3.56087i
\(73\) −9.25387 + 6.72333i −1.08308 + 0.786906i −0.978218 0.207580i \(-0.933441\pi\)
−0.104866 + 0.994486i \(0.533441\pi\)
\(74\) −2.42597 7.46637i −0.282013 0.867948i
\(75\) 3.38625 10.4218i 0.391010 1.20341i
\(76\) 10.8705 + 7.89787i 1.24693 + 0.905947i
\(77\) −0.414313 + 1.27512i −0.0472154 + 0.145314i
\(78\) 2.14358 6.59728i 0.242713 0.746994i
\(79\) 5.44156 + 3.95353i 0.612224 + 0.444807i 0.850197 0.526465i \(-0.176483\pi\)
−0.237973 + 0.971272i \(0.576483\pi\)
\(80\) −3.46454 + 10.6627i −0.387347 + 1.19213i
\(81\) −2.04746 6.30144i −0.227496 0.700160i
\(82\) −23.4735 + 17.0545i −2.59222 + 1.88335i
\(83\) 0.611921 + 1.88330i 0.0671670 + 0.206719i 0.979007 0.203827i \(-0.0653381\pi\)
−0.911840 + 0.410546i \(0.865338\pi\)
\(84\) −14.6940 10.6758i −1.60325 1.16483i
\(85\) 4.27962 + 3.10932i 0.464190 + 0.337253i
\(86\) −17.5700 + 12.7653i −1.89462 + 1.37652i
\(87\) 22.6619 2.42961
\(88\) −8.67401 −0.924652
\(89\) 2.96544 2.15452i 0.314336 0.228379i −0.419419 0.907793i \(-0.637766\pi\)
0.733755 + 0.679414i \(0.237766\pi\)
\(90\) 2.62910 8.09153i 0.277131 0.852922i
\(91\) −0.415703 1.27940i −0.0435775 0.134118i
\(92\) −2.31386 −0.241236
\(93\) −12.8378 6.43076i −1.33121 0.666839i
\(94\) −23.4327 −2.41690
\(95\) 0.687170 + 2.11489i 0.0705022 + 0.216983i
\(96\) 13.8656 42.6739i 1.41515 4.35539i
\(97\) 4.50908 3.27604i 0.457828 0.332632i −0.334851 0.942271i \(-0.608686\pi\)
0.792679 + 0.609640i \(0.208686\pi\)
\(98\) 13.9614 1.41031
\(99\) 3.63820 0.365653
\(100\) 17.9981 13.0764i 1.79981 1.30764i
\(101\) −12.5186 9.09532i −1.24565 0.905018i −0.247689 0.968840i \(-0.579671\pi\)
−0.997961 + 0.0638219i \(0.979671\pi\)
\(102\) −34.2622 24.8929i −3.39246 2.46477i
\(103\) 0.0884967 + 0.272365i 0.00871984 + 0.0268369i 0.955322 0.295568i \(-0.0955088\pi\)
−0.946602 + 0.322405i \(0.895509\pi\)
\(104\) 7.04097 5.11556i 0.690424 0.501622i
\(105\) −0.928872 2.85878i −0.0906487 0.278988i
\(106\) 6.26517 19.2822i 0.608527 1.87285i
\(107\) 6.43819 + 4.67762i 0.622403 + 0.452202i 0.853760 0.520667i \(-0.174317\pi\)
−0.231357 + 0.972869i \(0.574317\pi\)
\(108\) −2.71364 + 8.35173i −0.261120 + 0.803645i
\(109\) −5.48692 + 16.8870i −0.525552 + 1.61748i 0.237670 + 0.971346i \(0.423616\pi\)
−0.763222 + 0.646136i \(0.776384\pi\)
\(110\) −1.87925 1.36536i −0.179180 0.130182i
\(111\) −2.32582 + 7.15813i −0.220757 + 0.679420i
\(112\) −5.37895 16.5547i −0.508263 1.56427i
\(113\) −17.1550 + 12.4639i −1.61381 + 1.17250i −0.764465 + 0.644665i \(0.776997\pi\)
−0.849346 + 0.527837i \(0.823003\pi\)
\(114\) −5.50141 16.9316i −0.515254 1.58579i
\(115\) −0.309803 0.225085i −0.0288892 0.0209893i
\(116\) 37.2209 + 27.0426i 3.45587 + 2.51084i
\(117\) −2.95324 + 2.14566i −0.273028 + 0.198366i
\(118\) −0.868883 −0.0799871
\(119\) −8.21296 −0.752881
\(120\) 15.7328 11.4305i 1.43620 1.04346i
\(121\) −3.09223 + 9.51692i −0.281112 + 0.865174i
\(122\) −3.97296 12.2275i −0.359695 1.10703i
\(123\) 27.8170 2.50818
\(124\) −13.4115 25.8816i −1.20438 2.32423i
\(125\) 8.01410 0.716803
\(126\) 4.08187 + 12.5627i 0.363642 + 1.11917i
\(127\) −3.57799 + 11.0119i −0.317495 + 0.977150i 0.657220 + 0.753699i \(0.271732\pi\)
−0.974715 + 0.223451i \(0.928268\pi\)
\(128\) 17.3800 12.6273i 1.53619 1.11611i
\(129\) 20.8211 1.83320
\(130\) 2.33068 0.204414
\(131\) 3.54130 2.57291i 0.309405 0.224796i −0.422236 0.906486i \(-0.638755\pi\)
0.731641 + 0.681690i \(0.238755\pi\)
\(132\) 10.8864 + 7.90944i 0.947541 + 0.688429i
\(133\) −2.79314 2.02933i −0.242196 0.175965i
\(134\) 2.57867 + 7.93632i 0.222763 + 0.685593i
\(135\) −1.17576 + 0.854239i −0.101193 + 0.0735212i
\(136\) −16.4193 50.5335i −1.40795 4.33321i
\(137\) −4.71268 + 14.5041i −0.402631 + 1.23917i 0.520226 + 0.854029i \(0.325848\pi\)
−0.922857 + 0.385143i \(0.874152\pi\)
\(138\) 2.48025 + 1.80200i 0.211133 + 0.153397i
\(139\) 4.86798 14.9821i 0.412897 1.27077i −0.501222 0.865319i \(-0.667116\pi\)
0.914119 0.405447i \(-0.132884\pi\)
\(140\) 1.88577 5.80381i 0.159377 0.490512i
\(141\) 18.1748 + 13.2048i 1.53059 + 1.11204i
\(142\) −8.81743 + 27.1373i −0.739942 + 2.27731i
\(143\) 0.307984 + 0.947876i 0.0257549 + 0.0792654i
\(144\) −38.2132 + 27.7635i −3.18444 + 2.31363i
\(145\) 2.35289 + 7.24146i 0.195397 + 0.601371i
\(146\) 24.8919 + 18.0850i 2.06007 + 1.49673i
\(147\) −10.8287 7.86751i −0.893135 0.648901i
\(148\) −12.3619 + 8.98143i −1.01614 + 0.738269i
\(149\) 2.19851 0.180109 0.0900545 0.995937i \(-0.471296\pi\)
0.0900545 + 0.995937i \(0.471296\pi\)
\(150\) −29.4761 −2.40672
\(151\) 12.5305 9.10391i 1.01971 0.740866i 0.0534903 0.998568i \(-0.482965\pi\)
0.966224 + 0.257702i \(0.0829654\pi\)
\(152\) 6.90225 21.2429i 0.559846 1.72303i
\(153\) 6.88689 + 21.1957i 0.556772 + 1.71357i
\(154\) 3.60645 0.290616
\(155\) 0.722015 4.76991i 0.0579936 0.383128i
\(156\) −13.5015 −1.08098
\(157\) 1.62291 + 4.99479i 0.129522 + 0.398628i 0.994698 0.102841i \(-0.0327933\pi\)
−0.865176 + 0.501469i \(0.832793\pi\)
\(158\) 5.59091 17.2071i 0.444789 1.36892i
\(159\) −15.7253 + 11.4251i −1.24710 + 0.906068i
\(160\) 15.0758 1.19185
\(161\) 0.594538 0.0468562
\(162\) −14.4187 + 10.4758i −1.13284 + 0.823055i
\(163\) −5.62795 4.08895i −0.440815 0.320271i 0.345144 0.938550i \(-0.387830\pi\)
−0.785959 + 0.618279i \(0.787830\pi\)
\(164\) 45.6879 + 33.1942i 3.56763 + 2.59203i
\(165\) 0.688177 + 2.11799i 0.0535745 + 0.164885i
\(166\) 4.30928 3.13087i 0.334465 0.243003i
\(167\) 2.38569 + 7.34241i 0.184611 + 0.568173i 0.999941 0.0108224i \(-0.00344494\pi\)
−0.815331 + 0.578995i \(0.803445\pi\)
\(168\) −9.33001 + 28.7148i −0.719826 + 2.21540i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) 4.39707 13.5328i 0.337240 1.03792i
\(171\) −2.89506 + 8.91008i −0.221391 + 0.681371i
\(172\) 34.1975 + 24.8460i 2.60754 + 1.89449i
\(173\) 5.82324 17.9221i 0.442733 1.36259i −0.442219 0.896907i \(-0.645808\pi\)
0.884951 0.465684i \(-0.154192\pi\)
\(174\) −18.8370 57.9744i −1.42803 4.39503i
\(175\) −4.62456 + 3.35994i −0.349584 + 0.253988i
\(176\) 3.98512 + 12.2650i 0.300390 + 0.924506i
\(177\) 0.673921 + 0.489632i 0.0506550 + 0.0368030i
\(178\) −7.97670 5.79541i −0.597879 0.434385i
\(179\) 20.0231 14.5477i 1.49660 1.08734i 0.524889 0.851171i \(-0.324107\pi\)
0.971711 0.236173i \(-0.0758932\pi\)
\(180\) −16.5595 −1.23427
\(181\) −10.0741 −0.748802 −0.374401 0.927267i \(-0.622152\pi\)
−0.374401 + 0.927267i \(0.622152\pi\)
\(182\) −2.92747 + 2.12693i −0.216999 + 0.157659i
\(183\) −3.80894 + 11.7227i −0.281565 + 0.866569i
\(184\) 1.18860 + 3.65813i 0.0876248 + 0.269681i
\(185\) −2.52882 −0.185922
\(186\) −5.78038 + 38.1874i −0.423838 + 2.80004i
\(187\) 6.08477 0.444962
\(188\) 14.0938 + 43.3762i 1.02790 + 3.16354i
\(189\) 0.697262 2.14595i 0.0507183 0.156095i
\(190\) 4.83920 3.51589i 0.351073 0.255069i
\(191\) −21.3591 −1.54549 −0.772747 0.634715i \(-0.781118\pi\)
−0.772747 + 0.634715i \(0.781118\pi\)
\(192\) −53.9580 −3.89409
\(193\) −5.62600 + 4.08753i −0.404969 + 0.294227i −0.771562 0.636154i \(-0.780524\pi\)
0.366593 + 0.930381i \(0.380524\pi\)
\(194\) −12.1289 8.81218i −0.870806 0.632678i
\(195\) −1.80772 1.31338i −0.129453 0.0940533i
\(196\) −8.39719 25.8439i −0.599799 1.84599i
\(197\) −15.2806 + 11.1020i −1.08870 + 0.790986i −0.979179 0.202999i \(-0.934931\pi\)
−0.109519 + 0.993985i \(0.534931\pi\)
\(198\) −3.02415 9.30738i −0.214917 0.661447i
\(199\) 7.26049 22.3455i 0.514683 1.58403i −0.269176 0.963091i \(-0.586751\pi\)
0.783859 0.620939i \(-0.213249\pi\)
\(200\) −29.9188 21.7373i −2.11558 1.53706i
\(201\) 2.47221 7.60868i 0.174376 0.536675i
\(202\) −12.8622 + 39.5858i −0.904982 + 2.78525i
\(203\) −9.56379 6.94850i −0.671246 0.487689i
\(204\) −25.4720 + 78.3947i −1.78340 + 5.48873i
\(205\) 2.88813 + 8.88876i 0.201716 + 0.620818i
\(206\) 0.623213 0.452791i 0.0434213 0.0315474i
\(207\) −0.498543 1.53436i −0.0346512 0.106645i
\(208\) −10.4682 7.60559i −0.725839 0.527353i
\(209\) 2.06936 + 1.50348i 0.143141 + 0.103998i
\(210\) −6.54132 + 4.75255i −0.451394 + 0.327957i
\(211\) −12.2487 −0.843235 −0.421618 0.906774i \(-0.638537\pi\)
−0.421618 + 0.906774i \(0.638537\pi\)
\(212\) −39.4615 −2.71023
\(213\) 22.1313 16.0794i 1.51641 1.10174i
\(214\) 6.61489 20.3585i 0.452184 1.39168i
\(215\) 2.16177 + 6.65326i 0.147432 + 0.453749i
\(216\) 14.5978 0.993254
\(217\) 3.44603 + 6.65018i 0.233932 + 0.451444i
\(218\) 47.7618 3.23484
\(219\) −9.11533 28.0541i −0.615957 1.89572i
\(220\) −1.39712 + 4.29989i −0.0941938 + 0.289899i
\(221\) −4.93920 + 3.58854i −0.332246 + 0.241391i
\(222\) 20.2454 1.35879
\(223\) 0.654097 0.0438016 0.0219008 0.999760i \(-0.493028\pi\)
0.0219008 + 0.999760i \(0.493028\pi\)
\(224\) −18.9361 + 13.7579i −1.26522 + 0.919238i
\(225\) 12.5491 + 9.11743i 0.836605 + 0.607829i
\(226\) 46.1451 + 33.5264i 3.06953 + 2.23014i
\(227\) 7.33822 + 22.5847i 0.487055 + 1.49900i 0.828983 + 0.559274i \(0.188920\pi\)
−0.341928 + 0.939726i \(0.611080\pi\)
\(228\) −28.0332 + 20.3673i −1.85655 + 1.34886i
\(229\) 0.543390 + 1.67238i 0.0359082 + 0.110514i 0.967404 0.253238i \(-0.0814956\pi\)
−0.931496 + 0.363752i \(0.881496\pi\)
\(230\) −0.318305 + 0.979643i −0.0209884 + 0.0645957i
\(231\) −2.79723 2.03231i −0.184044 0.133716i
\(232\) 23.6335 72.7365i 1.55162 4.77538i
\(233\) −2.75217 + 8.47030i −0.180300 + 0.554908i −0.999836 0.0181209i \(-0.994232\pi\)
0.819535 + 0.573029i \(0.194232\pi\)
\(234\) 7.94390 + 5.77158i 0.519309 + 0.377300i
\(235\) −2.33248 + 7.17865i −0.152154 + 0.468283i
\(236\) 0.522597 + 1.60839i 0.0340182 + 0.104697i
\(237\) −14.0329 + 10.1955i −0.911536 + 0.662270i
\(238\) 6.82678 + 21.0107i 0.442515 + 1.36192i
\(239\) −7.60809 5.52760i −0.492126 0.357551i 0.313875 0.949464i \(-0.398373\pi\)
−0.806001 + 0.591914i \(0.798373\pi\)
\(240\) −23.3908 16.9944i −1.50987 1.09698i
\(241\) 3.13553 2.27809i 0.201977 0.146745i −0.482199 0.876062i \(-0.660162\pi\)
0.684176 + 0.729317i \(0.260162\pi\)
\(242\) 26.9168 1.73028
\(243\) 22.1186 1.41891
\(244\) −20.2448 + 14.7087i −1.29604 + 0.941628i
\(245\) 1.38971 4.27710i 0.0887855 0.273254i
\(246\) −23.1221 71.1625i −1.47421 4.53715i
\(247\) −2.56645 −0.163300
\(248\) −34.0286 + 34.4981i −2.16082 + 2.19063i
\(249\) −5.10666 −0.323621
\(250\) −6.66149 20.5020i −0.421310 1.29666i
\(251\) 6.95841 21.4158i 0.439211 1.35175i −0.449498 0.893281i \(-0.648397\pi\)
0.888709 0.458471i \(-0.151603\pi\)
\(252\) 20.7997 15.1119i 1.31026 0.951960i
\(253\) −0.440478 −0.0276926
\(254\) 31.1452 1.95422
\(255\) −11.0364 + 8.01845i −0.691129 + 0.502135i
\(256\) −12.8956 9.36921i −0.805976 0.585576i
\(257\) −8.82663 6.41292i −0.550590 0.400027i 0.277413 0.960751i \(-0.410523\pi\)
−0.828003 + 0.560724i \(0.810523\pi\)
\(258\) −17.3069 53.2653i −1.07748 3.31615i
\(259\) 3.17635 2.30775i 0.197368 0.143397i
\(260\) −1.40181 4.31432i −0.0869364 0.267563i
\(261\) −9.91278 + 30.5084i −0.613586 + 1.88842i
\(262\) −9.52570 6.92083i −0.588500 0.427570i
\(263\) −1.37899 + 4.24410i −0.0850324 + 0.261703i −0.984528 0.175227i \(-0.943934\pi\)
0.899496 + 0.436930i \(0.143934\pi\)
\(264\) 6.91236 21.2741i 0.425426 1.30933i
\(265\) −5.28351 3.83869i −0.324563 0.235809i
\(266\) −2.86979 + 8.83232i −0.175958 + 0.541544i
\(267\) 2.92104 + 8.99005i 0.178765 + 0.550182i
\(268\) 13.1400 9.54674i 0.802651 0.583160i
\(269\) −4.05612 12.4834i −0.247306 0.761129i −0.995249 0.0973659i \(-0.968958\pi\)
0.747943 0.663763i \(-0.231042\pi\)
\(270\) 3.16266 + 2.29781i 0.192473 + 0.139840i
\(271\) 15.7234 + 11.4237i 0.955130 + 0.693942i 0.952015 0.306053i \(-0.0990084\pi\)
0.00311511 + 0.999995i \(0.499008\pi\)
\(272\) −63.9103 + 46.4335i −3.87513 + 2.81545i
\(273\) 3.46917 0.209964
\(274\) 41.0223 2.47825
\(275\) 3.42622 2.48929i 0.206609 0.150110i
\(276\) 1.84392 5.67501i 0.110991 0.341596i
\(277\) −4.30331 13.2442i −0.258561 0.795768i −0.993107 0.117209i \(-0.962605\pi\)
0.734547 0.678558i \(-0.237395\pi\)
\(278\) −42.3741 −2.54143
\(279\) 14.2729 14.4698i 0.854495 0.866285i
\(280\) −10.1443 −0.606241
\(281\) 2.19908 + 6.76806i 0.131186 + 0.403749i 0.994977 0.100101i \(-0.0319166\pi\)
−0.863791 + 0.503850i \(0.831917\pi\)
\(282\) 18.6736 57.4715i 1.11200 3.42238i
\(283\) 8.99557 6.53566i 0.534731 0.388505i −0.287394 0.957813i \(-0.592789\pi\)
0.822124 + 0.569308i \(0.192789\pi\)
\(284\) 55.5371 3.29552
\(285\) −5.73464 −0.339691
\(286\) 2.16889 1.57579i 0.128249 0.0931784i
\(287\) −11.7394 8.52915i −0.692953 0.503460i
\(288\) 51.3844 + 37.3330i 3.02786 + 2.19987i
\(289\) 6.26478 + 19.2810i 0.368517 + 1.13418i
\(290\) 16.5696 12.0385i 0.973000 0.706926i
\(291\) 4.44158 + 13.6698i 0.260370 + 0.801336i
\(292\) 18.5057 56.9547i 1.08296 3.33302i
\(293\) 8.81748 + 6.40627i 0.515123 + 0.374259i 0.814763 0.579794i \(-0.196867\pi\)
−0.299641 + 0.954052i \(0.596867\pi\)
\(294\) −11.1259 + 34.2420i −0.648875 + 1.99703i
\(295\) −0.0864884 + 0.266184i −0.00503555 + 0.0154978i
\(296\) 20.5495 + 14.9301i 1.19442 + 0.867794i
\(297\) −0.516583 + 1.58988i −0.0299752 + 0.0922541i
\(298\) −1.82745 5.62430i −0.105861 0.325807i
\(299\) 0.357550 0.259775i 0.0206776 0.0150232i
\(300\) 17.7287 + 54.5632i 1.02357 + 3.15021i
\(301\) −8.78695 6.38409i −0.506471 0.367973i
\(302\) −33.7055 24.4885i −1.93954 1.40916i
\(303\) 32.2835 23.4554i 1.85464 1.34748i
\(304\) −33.2084 −1.90463
\(305\) −4.14139 −0.237136
\(306\) 48.4989 35.2365i 2.77250 2.01434i
\(307\) 1.07743 3.31599i 0.0614921 0.189253i −0.915591 0.402110i \(-0.868277\pi\)
0.977083 + 0.212857i \(0.0682768\pi\)
\(308\) −2.16913 6.67591i −0.123598 0.380395i
\(309\) −0.738532 −0.0420136
\(310\) −12.8027 + 2.11776i −0.727145 + 0.120281i
\(311\) −17.1505 −0.972515 −0.486258 0.873816i \(-0.661638\pi\)
−0.486258 + 0.873816i \(0.661638\pi\)
\(312\) 6.93555 + 21.3454i 0.392648 + 1.20845i
\(313\) −7.63295 + 23.4918i −0.431440 + 1.32784i 0.465251 + 0.885179i \(0.345964\pi\)
−0.896691 + 0.442657i \(0.854036\pi\)
\(314\) 11.4289 8.30355i 0.644967 0.468596i
\(315\) 4.25492 0.239737
\(316\) −35.2147 −1.98098
\(317\) −2.73068 + 1.98396i −0.153371 + 0.111430i −0.661824 0.749659i \(-0.730217\pi\)
0.508453 + 0.861089i \(0.330217\pi\)
\(318\) 42.2992 + 30.7322i 2.37202 + 1.72338i
\(319\) 7.08556 + 5.14796i 0.396715 + 0.288231i
\(320\) −5.60225 17.2420i −0.313175 0.963855i
\(321\) −16.6031 + 12.0628i −0.926692 + 0.673281i
\(322\) −0.494193 1.52097i −0.0275403 0.0847602i
\(323\) −4.84189 + 14.9018i −0.269410 + 0.829158i
\(324\) 28.0640 + 20.3897i 1.55911 + 1.13276i
\(325\) −1.31309 + 4.04127i −0.0728371 + 0.224170i
\(326\) −5.78241 + 17.7964i −0.320258 + 0.985654i
\(327\) −37.0449 26.9147i −2.04859 1.48839i
\(328\) 29.0097 89.2827i 1.60179 4.92981i
\(329\) −3.62136 11.1454i −0.199652 0.614465i
\(330\) 4.84629 3.52104i 0.266780 0.193827i
\(331\) 1.23970 + 3.81539i 0.0681398 + 0.209713i 0.979328 0.202277i \(-0.0648340\pi\)
−0.911189 + 0.411990i \(0.864834\pi\)
\(332\) −8.38741 6.09381i −0.460319 0.334441i
\(333\) −8.61923 6.26224i −0.472331 0.343169i
\(334\) 16.8006 12.2063i 0.919287 0.667901i
\(335\) 2.68799 0.146860
\(336\) 44.8890 2.44889
\(337\) 26.3317 19.1311i 1.43438 1.04214i 0.445199 0.895432i \(-0.353133\pi\)
0.989180 0.146706i \(-0.0468671\pi\)
\(338\) −0.831221 + 2.55823i −0.0452125 + 0.139150i
\(339\) −16.8982 52.0074i −0.917785 2.82465i
\(340\) −27.6952 −1.50198
\(341\) −2.55308 4.92695i −0.138257 0.266809i
\(342\) 25.2005 1.36269
\(343\) 5.06755 + 15.5963i 0.273622 + 0.842123i
\(344\) 21.7138 66.8283i 1.17073 3.60314i
\(345\) 0.798931 0.580457i 0.0430130 0.0312508i
\(346\) −50.6893 −2.72507
\(347\) 4.09449 0.219804 0.109902 0.993942i \(-0.464946\pi\)
0.109902 + 0.993942i \(0.464946\pi\)
\(348\) −95.9867 + 69.7384i −5.14543 + 3.73837i
\(349\) −27.8274 20.2178i −1.48957 1.08223i −0.974313 0.225198i \(-0.927697\pi\)
−0.515255 0.857037i \(-0.672303\pi\)
\(350\) 12.4395 + 9.03786i 0.664922 + 0.483094i
\(351\) −0.518316 1.59521i −0.0276657 0.0851462i
\(352\) 14.0293 10.1929i 0.747763 0.543281i
\(353\) −1.21596 3.74235i −0.0647192 0.199185i 0.913468 0.406911i \(-0.133394\pi\)
−0.978187 + 0.207725i \(0.933394\pi\)
\(354\) 0.692417 2.13104i 0.0368016 0.113264i
\(355\) 7.43587 + 5.40248i 0.394655 + 0.286734i
\(356\) −5.93023 + 18.2514i −0.314302 + 0.967321i
\(357\) 6.54495 20.1433i 0.346395 1.06610i
\(358\) −53.8600 39.1316i −2.84659 2.06817i
\(359\) −3.42976 + 10.5557i −0.181016 + 0.557109i −0.999857 0.0169111i \(-0.994617\pi\)
0.818841 + 0.574020i \(0.194617\pi\)
\(360\) 8.50643 + 26.1801i 0.448328 + 1.37981i
\(361\) 10.0426 7.29636i 0.528557 0.384019i
\(362\) 8.37380 + 25.7719i 0.440117 + 1.35454i
\(363\) −20.8772 15.1682i −1.09577 0.796122i
\(364\) 5.69792 + 4.13978i 0.298652 + 0.216983i
\(365\) 8.01811 5.82550i 0.419687 0.304920i
\(366\) 33.1556 1.73307
\(367\) −37.7348 −1.96974 −0.984869 0.173299i \(-0.944557\pi\)
−0.984869 + 0.173299i \(0.944557\pi\)
\(368\) 4.62648 3.36133i 0.241172 0.175222i
\(369\) −12.1678 + 37.4485i −0.633428 + 1.94949i
\(370\) 2.10201 + 6.46931i 0.109278 + 0.336323i
\(371\) 10.1395 0.526418
\(372\) 74.1653 12.2681i 3.84529 0.636071i
\(373\) −15.0425 −0.778873 −0.389437 0.921053i \(-0.627330\pi\)
−0.389437 + 0.921053i \(0.627330\pi\)
\(374\) −5.05779 15.5663i −0.261532 0.804912i
\(375\) −6.38648 + 19.6556i −0.329796 + 1.01501i
\(376\) 61.3367 44.5637i 3.16320 2.29820i
\(377\) −8.78762 −0.452586
\(378\) −6.06942 −0.312177
\(379\) −19.8957 + 14.4551i −1.02197 + 0.742508i −0.966687 0.255962i \(-0.917608\pi\)
−0.0552881 + 0.998470i \(0.517608\pi\)
\(380\) −9.41883 6.84318i −0.483176 0.351048i
\(381\) −24.1567 17.5509i −1.23759 0.899160i
\(382\) 17.7542 + 54.6417i 0.908382 + 2.79571i
\(383\) −7.48884 + 5.44096i −0.382662 + 0.278020i −0.762442 0.647057i \(-0.776000\pi\)
0.379780 + 0.925077i \(0.376000\pi\)
\(384\) 17.1198 + 52.6895i 0.873643 + 2.68880i
\(385\) 0.358986 1.10484i 0.0182956 0.0563081i
\(386\) 15.1333 + 10.9950i 0.770265 + 0.559631i
\(387\) −9.10760 + 28.0303i −0.462965 + 1.42486i
\(388\) −9.01718 + 27.7520i −0.457778 + 1.40890i
\(389\) 7.28054 + 5.28962i 0.369138 + 0.268194i 0.756853 0.653585i \(-0.226736\pi\)
−0.387715 + 0.921779i \(0.626736\pi\)
\(390\) −1.85733 + 5.71628i −0.0940496 + 0.289455i
\(391\) −0.833796 2.56616i −0.0421669 0.129776i
\(392\) −36.5449 + 26.5514i −1.84579 + 1.34105i
\(393\) 3.48829 + 10.7358i 0.175961 + 0.541551i
\(394\) 41.1031 + 29.8632i 2.07074 + 1.50448i
\(395\) −4.71490 3.42557i −0.237232 0.172359i
\(396\) −15.4100 + 11.1960i −0.774381 + 0.562621i
\(397\) 7.23963 0.363347 0.181673 0.983359i \(-0.441849\pi\)
0.181673 + 0.983359i \(0.441849\pi\)
\(398\) −63.2001 −3.16793
\(399\) 7.20305 5.23332i 0.360603 0.261994i
\(400\) −16.9906 + 52.2917i −0.849530 + 2.61458i
\(401\) −7.34593 22.6085i −0.366838 1.12901i −0.948822 0.315812i \(-0.897723\pi\)
0.581983 0.813201i \(-0.302277\pi\)
\(402\) −21.5197 −1.07331
\(403\) 4.97812 + 2.49366i 0.247978 + 0.124218i
\(404\) 81.0134 4.03057
\(405\) 1.77404 + 5.45995i 0.0881530 + 0.271307i
\(406\) −9.82627 + 30.2422i −0.487670 + 1.50089i
\(407\) −2.35327 + 1.70975i −0.116647 + 0.0847492i
\(408\) 137.024 6.78371
\(409\) 19.4742 0.962935 0.481467 0.876464i \(-0.340104\pi\)
0.481467 + 0.876464i \(0.340104\pi\)
\(410\) 20.3389 14.7770i 1.00446 0.729786i
\(411\) −31.8176 23.1168i −1.56945 1.14027i
\(412\) −1.21300 0.881295i −0.0597601 0.0434183i
\(413\) −0.134280 0.413270i −0.00660747 0.0203357i
\(414\) −3.51085 + 2.55078i −0.172549 + 0.125364i
\(415\) −0.530205 1.63180i −0.0260267 0.0801020i
\(416\) −5.37668 + 16.5477i −0.263614 + 0.811319i
\(417\) 32.8661 + 23.8786i 1.60946 + 1.16934i
\(418\) 2.12616 6.54364i 0.103994 0.320060i
\(419\) 6.39853 19.6927i 0.312589 0.962049i −0.664147 0.747602i \(-0.731205\pi\)
0.976736 0.214447i \(-0.0687950\pi\)
\(420\) 12.7318 + 9.25018i 0.621247 + 0.451362i
\(421\) 9.81464 30.2064i 0.478336 1.47217i −0.363068 0.931762i \(-0.618271\pi\)
0.841405 0.540405i \(-0.181729\pi\)
\(422\) 10.1814 + 31.3350i 0.495621 + 1.52537i
\(423\) −25.7269 + 18.6917i −1.25088 + 0.908821i
\(424\) 20.2709 + 62.3875i 0.984443 + 3.02980i
\(425\) 20.9879 + 15.2486i 1.01806 + 0.739665i
\(426\) −59.5308 43.2516i −2.88428 2.09555i
\(427\) 5.20184 3.77935i 0.251734 0.182896i
\(428\) −41.6643 −2.01392
\(429\) −2.57022 −0.124091
\(430\) 15.2237 11.0607i 0.734151 0.533392i
\(431\) −6.76673 + 20.8259i −0.325942 + 1.00315i 0.645071 + 0.764122i \(0.276828\pi\)
−0.971014 + 0.239024i \(0.923172\pi\)
\(432\) −6.70670 20.6411i −0.322676 0.993096i
\(433\) −21.1031 −1.01415 −0.507076 0.861901i \(-0.669274\pi\)
−0.507076 + 0.861901i \(0.669274\pi\)
\(434\) 14.1483 14.3435i 0.679141 0.688512i
\(435\) −19.6356 −0.941455
\(436\) −28.7267 88.4118i −1.37576 4.23416i
\(437\) 0.350505 1.07874i 0.0167669 0.0516033i
\(438\) −64.1921 + 46.6383i −3.06722 + 2.22846i
\(439\) 5.96677 0.284778 0.142389 0.989811i \(-0.454522\pi\)
0.142389 + 0.989811i \(0.454522\pi\)
\(440\) 7.51568 0.358296
\(441\) 15.3283 11.1367i 0.729918 0.530317i
\(442\) 13.2859 + 9.65276i 0.631945 + 0.459135i
\(443\) −25.3384 18.4094i −1.20386 0.874658i −0.209205 0.977872i \(-0.567087\pi\)
−0.994659 + 0.103214i \(0.967087\pi\)
\(444\) −12.1768 37.4763i −0.577886 1.77855i
\(445\) −2.56944 + 1.86680i −0.121803 + 0.0884950i
\(446\) −0.543699 1.67333i −0.0257449 0.0792347i
\(447\) −1.75200 + 5.39211i −0.0828669 + 0.255038i
\(448\) 22.7714 + 16.5444i 1.07585 + 0.781650i
\(449\) −3.29468 + 10.1400i −0.155485 + 0.478535i −0.998210 0.0598103i \(-0.980950\pi\)
0.842724 + 0.538345i \(0.180950\pi\)
\(450\) 12.8935 39.6821i 0.607805 1.87063i
\(451\) 8.69740 + 6.31903i 0.409544 + 0.297551i
\(452\) 34.3063 105.584i 1.61363 4.96625i
\(453\) 12.3429 + 37.9874i 0.579919 + 1.78481i
\(454\) 51.6773 37.5458i 2.42534 1.76211i
\(455\) 0.360190 + 1.10855i 0.0168860 + 0.0519697i
\(456\) 46.6004 + 33.8572i 2.18227 + 1.58551i
\(457\) 21.1289 + 15.3511i 0.988370 + 0.718093i 0.959563 0.281492i \(-0.0908294\pi\)
0.0288062 + 0.999585i \(0.490829\pi\)
\(458\) 3.82667 2.78024i 0.178808 0.129912i
\(459\) −10.2403 −0.477975
\(460\) 2.00486 0.0934773
\(461\) 29.5226 21.4494i 1.37500 0.998998i 0.377675 0.925938i \(-0.376724\pi\)
0.997328 0.0730594i \(-0.0232763\pi\)
\(462\) −2.87400 + 8.84527i −0.133711 + 0.411519i
\(463\) 1.30408 + 4.01354i 0.0606056 + 0.186525i 0.976776 0.214265i \(-0.0687357\pi\)
−0.916170 + 0.400790i \(0.868736\pi\)
\(464\) −113.707 −5.27870
\(465\) 11.1234 + 5.57199i 0.515836 + 0.258395i
\(466\) 23.9567 1.10977
\(467\) 5.08450 + 15.6485i 0.235283 + 0.724126i 0.997084 + 0.0763148i \(0.0243154\pi\)
−0.761801 + 0.647811i \(0.775685\pi\)
\(468\) 5.90584 18.1763i 0.272998 0.840200i
\(469\) −3.37627 + 2.45300i −0.155902 + 0.113269i
\(470\) 20.3035 0.936530
\(471\) −13.5436 −0.624058
\(472\) 2.27436 1.65242i 0.104686 0.0760588i
\(473\) 6.51002 + 4.72981i 0.299331 + 0.217477i
\(474\) 37.7470 + 27.4248i 1.73378 + 1.25966i
\(475\) 3.36998 + 10.3717i 0.154625 + 0.475888i
\(476\) 34.7868 25.2741i 1.59445 1.15844i
\(477\) −8.50238 26.1676i −0.389297 1.19813i
\(478\) −7.81689 + 24.0579i −0.357536 + 1.10038i
\(479\) −17.9908 13.0711i −0.822022 0.597234i 0.0952688 0.995452i \(-0.469629\pi\)
−0.917291 + 0.398217i \(0.869629\pi\)
\(480\) −12.0140 + 36.9753i −0.548361 + 1.68768i
\(481\) 0.901886 2.77572i 0.0411224 0.126562i
\(482\) −8.43421 6.12781i −0.384168 0.279114i
\(483\) −0.473791 + 1.45818i −0.0215582 + 0.0663494i
\(484\) −16.1894 49.8257i −0.735880 2.26481i
\(485\) −3.90694 + 2.83856i −0.177405 + 0.128892i
\(486\) −18.3855 56.5846i −0.833981 2.56673i
\(487\) 16.4603 + 11.9591i 0.745887 + 0.541919i 0.894549 0.446969i \(-0.147497\pi\)
−0.148662 + 0.988888i \(0.547497\pi\)
\(488\) 33.6535 + 24.4507i 1.52342 + 1.10683i
\(489\) 14.5136 10.5447i 0.656327 0.476849i
\(490\) −12.0970 −0.546485
\(491\) 7.04178 0.317791 0.158896 0.987295i \(-0.449207\pi\)
0.158896 + 0.987295i \(0.449207\pi\)
\(492\) −117.822 + 85.6026i −5.31182 + 3.85926i
\(493\) −16.5788 + 51.0242i −0.746671 + 2.29802i
\(494\) 2.13329 + 6.56559i 0.0959813 + 0.295400i
\(495\) −3.15236 −0.141688
\(496\) 64.4139 + 32.2665i 2.89227 + 1.44881i
\(497\) −14.2701 −0.640101
\(498\) 4.24476 + 13.0640i 0.190212 + 0.585413i
\(499\) 3.65903 11.2613i 0.163801 0.504126i −0.835145 0.550029i \(-0.814617\pi\)
0.998946 + 0.0459030i \(0.0146165\pi\)
\(500\) −33.9446 + 24.6622i −1.51805 + 1.10293i
\(501\) −19.9093 −0.889483
\(502\) −60.5706 −2.70340
\(503\) 21.4788 15.6053i 0.957692 0.695804i 0.00507864 0.999987i \(-0.498383\pi\)
0.952614 + 0.304183i \(0.0983834\pi\)
\(504\) −34.5760 25.1209i −1.54014 1.11898i
\(505\) 10.8469 + 7.88073i 0.482680 + 0.350688i
\(506\) 0.366134 + 1.12685i 0.0162767 + 0.0500944i
\(507\) 2.08632 1.51580i 0.0926569 0.0673192i
\(508\) −18.7325 57.6528i −0.831122 2.55793i
\(509\) −2.98816 + 9.19661i −0.132448 + 0.407633i −0.995184 0.0980211i \(-0.968749\pi\)
0.862736 + 0.505654i \(0.168749\pi\)
\(510\) 29.6868 + 21.5687i 1.31455 + 0.955079i
\(511\) −4.75498 + 14.6343i −0.210348 + 0.647385i
\(512\) 0.0276340 0.0850486i 0.00122126 0.00375865i
\(513\) −3.48260 2.53026i −0.153761 0.111714i
\(514\) −9.06888 + 27.9111i −0.400011 + 1.23111i
\(515\) −0.0766789 0.235993i −0.00337887 0.0103991i
\(516\) −88.1900 + 64.0738i −3.88235 + 2.82069i
\(517\) 2.68297 + 8.25733i 0.117997 + 0.363157i
\(518\) −8.54401 6.20759i −0.375402 0.272746i
\(519\) 39.3155 + 28.5644i 1.72576 + 1.25384i
\(520\) −6.10071 + 4.43243i −0.267534 + 0.194375i
\(521\) −7.26662 −0.318357 −0.159178 0.987250i \(-0.550884\pi\)
−0.159178 + 0.987250i \(0.550884\pi\)
\(522\) 86.2874 3.77670
\(523\) 0.779595 0.566409i 0.0340893 0.0247673i −0.570610 0.821221i \(-0.693293\pi\)
0.604699 + 0.796454i \(0.293293\pi\)
\(524\) −7.08183 + 21.7956i −0.309371 + 0.952146i
\(525\) −4.55533 14.0199i −0.198811 0.611877i
\(526\) 12.0037 0.523385
\(527\) 23.8709 24.2002i 1.03983 1.05418i
\(528\) −33.2571 −1.44733
\(529\) −7.04703 21.6885i −0.306393 0.942980i
\(530\) −5.42852 + 16.7073i −0.235800 + 0.725717i
\(531\) −0.953952 + 0.693087i −0.0413980 + 0.0300774i
\(532\) 18.0756 0.783675
\(533\) −10.7866 −0.467221
\(534\) 20.5706 14.9454i 0.890178 0.646752i
\(535\) −5.57843 4.05297i −0.241177 0.175225i
\(536\) −21.8429 15.8698i −0.943471 0.685472i
\(537\) 19.7234 + 60.7023i 0.851126 + 2.61950i
\(538\) −28.5641 + 20.7530i −1.23148 + 0.894725i
\(539\) −1.59853 4.91978i −0.0688537 0.211910i
\(540\) 2.35126 7.23644i 0.101182 0.311407i
\(541\) −10.4011 7.55685i −0.447178 0.324894i 0.341302 0.939954i \(-0.389132\pi\)
−0.788481 + 0.615059i \(0.789132\pi\)
\(542\) 16.1550 49.7198i 0.693915 2.13565i
\(543\) 8.02810 24.7080i 0.344519 1.06032i
\(544\) 85.9386 + 62.4381i 3.68459 + 2.67701i
\(545\) 4.75420 14.6319i 0.203647 0.626762i
\(546\) −2.88364 8.87494i −0.123409 0.379813i
\(547\) 4.35891 3.16693i 0.186373 0.135408i −0.490686 0.871336i \(-0.663254\pi\)
0.677060 + 0.735928i \(0.263254\pi\)
\(548\) −24.6732 75.9363i −1.05399 3.24384i
\(549\) −14.1155 10.2555i −0.602437 0.437696i
\(550\) −9.21614 6.69592i −0.392977 0.285515i
\(551\) −18.2458 + 13.2563i −0.777297 + 0.564739i
\(552\) −9.91922 −0.422190
\(553\) 9.04830 0.384773
\(554\) −30.3048 + 22.0177i −1.28753 + 0.935444i
\(555\) 2.01523 6.20223i 0.0855417 0.263270i
\(556\) 25.4863 + 78.4387i 1.08086 + 3.32654i
\(557\) −3.53822 −0.149919 −0.0749595 0.997187i \(-0.523883\pi\)
−0.0749595 + 0.997187i \(0.523883\pi\)
\(558\) −48.8811 24.4858i −2.06930 1.03657i
\(559\) −8.07383 −0.341487
\(560\) 4.66065 + 14.3440i 0.196948 + 0.606144i
\(561\) −4.84898 + 14.9236i −0.204724 + 0.630076i
\(562\) 15.4864 11.2515i 0.653253 0.474616i
\(563\) 17.5165 0.738231 0.369115 0.929384i \(-0.379661\pi\)
0.369115 + 0.929384i \(0.379661\pi\)
\(564\) −117.617 −4.95257
\(565\) 14.8642 10.7994i 0.625340 0.454336i
\(566\) −24.1971 17.5802i −1.01708 0.738951i
\(567\) −7.21095 5.23906i −0.302831 0.220020i
\(568\) −28.5287 87.8024i −1.19704 3.68411i
\(569\) 9.19636 6.68154i 0.385531 0.280105i −0.378091 0.925769i \(-0.623419\pi\)
0.763622 + 0.645664i \(0.223419\pi\)
\(570\) 4.76675 + 14.6706i 0.199657 + 0.614482i
\(571\) −6.03931 + 18.5871i −0.252737 + 0.777845i 0.741530 + 0.670920i \(0.234101\pi\)
−0.994267 + 0.106925i \(0.965899\pi\)
\(572\) −4.22144 3.06706i −0.176507 0.128240i
\(573\) 17.0212 52.3859i 0.711071 2.18845i
\(574\) −12.0616 + 37.1217i −0.503440 + 1.54943i
\(575\) −1.51932 1.10385i −0.0633599 0.0460337i
\(576\) 23.6024 72.6407i 0.983433 3.02670i
\(577\) −8.10995 24.9598i −0.337621 1.03909i −0.965416 0.260713i \(-0.916042\pi\)
0.627795 0.778379i \(-0.283958\pi\)
\(578\) 44.1180 32.0536i 1.83507 1.33325i
\(579\) −5.54178 17.0558i −0.230308 0.708816i
\(580\) −32.2504 23.4313i −1.33913 0.972931i
\(581\) 2.15512 + 1.56579i 0.0894094 + 0.0649597i
\(582\) 31.2786 22.7252i 1.29654 0.941990i
\(583\) −7.51211 −0.311120
\(584\) −99.5498 −4.11940
\(585\) 2.55887 1.85913i 0.105796 0.0768654i
\(586\) 9.05948 27.8822i 0.374244 1.15180i
\(587\) 6.85145 + 21.0866i 0.282790 + 0.870337i 0.987052 + 0.160398i \(0.0512777\pi\)
−0.704263 + 0.709939i \(0.748722\pi\)
\(588\) 70.0771 2.88993
\(589\) 14.0978 2.33200i 0.580891 0.0960884i
\(590\) 0.752852 0.0309944
\(591\) −15.0518 46.3248i −0.619150 1.90555i
\(592\) 11.6699 35.9161i 0.479628 1.47614i
\(593\) 19.3473 14.0566i 0.794498 0.577237i −0.114797 0.993389i \(-0.536622\pi\)
0.909295 + 0.416152i \(0.136622\pi\)
\(594\) 4.49668 0.184501
\(595\) 7.11620 0.291736
\(596\) −9.31202 + 6.76558i −0.381435 + 0.277129i
\(597\) 49.0191 + 35.6145i 2.00622 + 1.45760i
\(598\) −0.961768 0.698766i −0.0393296 0.0285747i
\(599\) −2.51000 7.72499i −0.102556 0.315635i 0.886593 0.462550i \(-0.153065\pi\)
−0.989149 + 0.146915i \(0.953065\pi\)
\(600\) 77.1558 56.0570i 3.14987 2.28852i
\(601\) −7.62635 23.4715i −0.311085 0.957422i −0.977336 0.211694i \(-0.932102\pi\)
0.666251 0.745728i \(-0.267898\pi\)
\(602\) −9.02811 + 27.7857i −0.367958 + 1.13246i
\(603\) 9.16174 + 6.65640i 0.373095 + 0.271069i
\(604\) −25.0582 + 77.1211i −1.01960 + 3.13801i
\(605\) 2.67930 8.24603i 0.108929 0.335249i
\(606\) −86.8391 63.0923i −3.52760 2.56295i
\(607\) 0.711366 2.18936i 0.0288735 0.0888634i −0.935581 0.353111i \(-0.885124\pi\)
0.964455 + 0.264248i \(0.0851237\pi\)
\(608\) 13.7990 + 42.4690i 0.559624 + 1.72234i
\(609\) 24.6635 17.9191i 0.999414 0.726117i
\(610\) 3.44241 + 10.5947i 0.139379 + 0.428965i
\(611\) −7.04767 5.12043i −0.285118 0.207150i
\(612\) −94.3965 68.5831i −3.81575 2.77231i
\(613\) 9.16646 6.65982i 0.370230 0.268988i −0.387076 0.922048i \(-0.626515\pi\)
0.757306 + 0.653060i \(0.226515\pi\)
\(614\) −9.37865 −0.378492
\(615\) −24.1023 −0.971900
\(616\) −9.44014 + 6.85866i −0.380354 + 0.276343i
\(617\) 2.93343 9.02817i 0.118095 0.363460i −0.874485 0.485053i \(-0.838800\pi\)
0.992580 + 0.121593i \(0.0388002\pi\)
\(618\) 0.613883 + 1.88934i 0.0246940 + 0.0760003i
\(619\) 38.2803 1.53861 0.769307 0.638879i \(-0.220602\pi\)
0.769307 + 0.638879i \(0.220602\pi\)
\(620\) 11.6205 + 22.4253i 0.466690 + 0.900623i
\(621\) 0.741295 0.0297472
\(622\) 14.2558 + 43.8750i 0.571607 + 1.75923i
\(623\) 1.52375 4.68963i 0.0610479 0.187886i
\(624\) 26.9958 19.6136i 1.08070 0.785172i
\(625\) 14.3023 0.572094
\(626\) 66.4422 2.65557
\(627\) −5.33655 + 3.87723i −0.213121 + 0.154842i
\(628\) −22.2447 16.1617i −0.887659 0.644922i
\(629\) −14.4154 10.4734i −0.574778 0.417601i
\(630\) −3.53678 10.8851i −0.140909 0.433672i
\(631\) 2.14511 1.55852i 0.0853956 0.0620435i −0.544268 0.838911i \(-0.683193\pi\)
0.629664 + 0.776868i \(0.283193\pi\)
\(632\) 18.0894 + 55.6733i 0.719556 + 2.21457i
\(633\) 9.76105 30.0414i 0.387967 1.19404i
\(634\) 7.34523 + 5.33662i 0.291716 + 0.211944i
\(635\) 3.10018 9.54138i 0.123027 0.378638i
\(636\) 31.4471 96.7842i 1.24696 3.83774i
\(637\) 4.19906 + 3.05079i 0.166373 + 0.120877i
\(638\) 7.28003 22.4056i 0.288219 0.887047i
\(639\) 11.9660 + 36.8276i 0.473369 + 1.45688i
\(640\) −15.0591 + 10.9411i −0.595264 + 0.432484i
\(641\) 10.6802 + 32.8702i 0.421841 + 1.29829i 0.905987 + 0.423306i \(0.139130\pi\)
−0.484146 + 0.874987i \(0.660870\pi\)
\(642\) 44.6603 + 32.4476i 1.76260 + 1.28061i
\(643\) 16.3158 + 11.8541i 0.643432 + 0.467481i 0.861028 0.508558i \(-0.169821\pi\)
−0.217596 + 0.976039i \(0.569821\pi\)
\(644\) −2.51823 + 1.82960i −0.0992321 + 0.0720963i
\(645\) −18.0407 −0.710350
\(646\) 42.1470 1.65825
\(647\) −8.33558 + 6.05615i −0.327705 + 0.238092i −0.739456 0.673204i \(-0.764917\pi\)
0.411751 + 0.911296i \(0.364917\pi\)
\(648\) 17.8193 54.8422i 0.700008 2.15440i
\(649\) 0.0994843 + 0.306181i 0.00390510 + 0.0120187i
\(650\) 11.4300 0.448321
\(651\) −19.0565 + 3.15225i −0.746885 + 0.123546i
\(652\) 36.4209 1.42635
\(653\) 2.92788 + 9.01108i 0.114577 + 0.352631i 0.991859 0.127345i \(-0.0406455\pi\)
−0.877282 + 0.479976i \(0.840645\pi\)
\(654\) −38.0616 + 117.142i −1.48833 + 4.58060i
\(655\) −3.06840 + 2.22932i −0.119892 + 0.0871068i
\(656\) −139.573 −5.44940
\(657\) 41.7549 1.62901
\(658\) −25.5024 + 18.5286i −0.994186 + 0.722318i
\(659\) 19.6011 + 14.2410i 0.763549 + 0.554751i 0.899997 0.435897i \(-0.143569\pi\)
−0.136448 + 0.990647i \(0.543569\pi\)
\(660\) −9.43264 6.85321i −0.367165 0.266761i
\(661\) −1.03806 3.19484i −0.0403760 0.124265i 0.928837 0.370489i \(-0.120810\pi\)
−0.969213 + 0.246224i \(0.920810\pi\)
\(662\) 8.73020 6.34286i 0.339309 0.246522i
\(663\) −4.86525 14.9737i −0.188951 0.581531i
\(664\) −5.32561 + 16.3906i −0.206674 + 0.636077i
\(665\) 2.42014 + 1.75833i 0.0938490 + 0.0681853i
\(666\) −8.85579 + 27.2553i −0.343155 + 1.05612i
\(667\) 1.20014 3.69366i 0.0464697 0.143019i
\(668\) −32.7000 23.7579i −1.26520 0.919222i
\(669\) −0.521254 + 1.60425i −0.0201528 + 0.0620240i
\(670\) −2.23431 6.87650i −0.0863190 0.265662i
\(671\) −3.85390 + 2.80003i −0.148778 + 0.108094i
\(672\) −18.6526 57.4068i −0.719540 2.21452i
\(673\) 15.8051 + 11.4830i 0.609240 + 0.442639i 0.849147 0.528157i \(-0.177117\pi\)
−0.239906 + 0.970796i \(0.577117\pi\)
\(674\) −70.8293 51.4605i −2.72824 1.98218i
\(675\) −5.76610 + 4.18932i −0.221937 + 0.161247i
\(676\) 5.23549 0.201365
\(677\) −32.4238 −1.24615 −0.623073 0.782164i \(-0.714116\pi\)
−0.623073 + 0.782164i \(0.714116\pi\)
\(678\) −119.001 + 86.4592i −4.57020 + 3.32045i
\(679\) 2.31694 7.13080i 0.0889158 0.273655i
\(680\) 14.2267 + 43.7853i 0.545569 + 1.67909i
\(681\) −61.2396 −2.34671
\(682\) −10.4821 + 10.6267i −0.401381 + 0.406919i
\(683\) 18.0982 0.692507 0.346254 0.938141i \(-0.387454\pi\)
0.346254 + 0.938141i \(0.387454\pi\)
\(684\) −15.1571 46.6487i −0.579545 1.78366i
\(685\) 4.08335 12.5673i 0.156017 0.480170i
\(686\) 35.6868 25.9280i 1.36253 0.989935i
\(687\) −4.53475 −0.173012
\(688\) −104.471 −3.98290
\(689\) 6.09781 4.43032i 0.232308 0.168782i
\(690\) −2.14903 1.56136i −0.0818123 0.0594401i
\(691\) 21.3287 + 15.4962i 0.811383 + 0.589504i 0.914231 0.405193i \(-0.132796\pi\)
−0.102848 + 0.994697i \(0.532796\pi\)
\(692\) 30.4875 + 93.8310i 1.15896 + 3.56692i
\(693\) 3.95955 2.87678i 0.150411 0.109280i
\(694\) −3.40343 10.4747i −0.129192 0.397613i
\(695\) −4.21791 + 12.9814i −0.159994 + 0.492412i
\(696\) 159.561 + 115.928i 6.04816 + 4.39425i
\(697\) −20.3501 + 62.6313i −0.770817 + 2.37233i
\(698\) −28.5912 + 87.9946i −1.08219 + 3.33064i
\(699\) −18.5812 13.5000i −0.702806 0.510619i
\(700\) 9.24811 28.4628i 0.349546 1.07579i
\(701\) −8.03893 24.7413i −0.303626 0.934465i −0.980186 0.198078i \(-0.936530\pi\)
0.676560 0.736387i \(-0.263470\pi\)
\(702\) −3.65009 + 2.65195i −0.137764 + 0.100091i
\(703\) −2.31465 7.12375i −0.0872986 0.268677i
\(704\) −16.8708 12.2573i −0.635841 0.461966i
\(705\) −15.7477 11.4414i −0.593094 0.430908i
\(706\) −8.56308 + 6.22144i −0.322276 + 0.234147i
\(707\) −20.8161 −0.782871
\(708\) −4.36123 −0.163905
\(709\) −7.96865 + 5.78957i −0.299269 + 0.217432i −0.727278 0.686343i \(-0.759215\pi\)
0.428009 + 0.903774i \(0.359215\pi\)
\(710\) 7.63995 23.5133i 0.286722 0.882440i
\(711\) −7.58735 23.3515i −0.284548 0.875749i
\(712\) 31.9011 1.19555
\(713\) −1.72802 + 1.75186i −0.0647148 + 0.0656077i
\(714\) −56.9715 −2.13211
\(715\) −0.266855 0.821297i −0.00997983 0.0307148i
\(716\) −40.0419 + 123.236i −1.49644 + 4.60556i
\(717\) 19.6200 14.2548i 0.732723 0.532355i
\(718\) 29.8549 1.11417
\(719\) −35.9525 −1.34080 −0.670401 0.741999i \(-0.733878\pi\)
−0.670401 + 0.741999i \(0.733878\pi\)
\(720\) 33.1102 24.0560i 1.23395 0.896514i
\(721\) 0.311676 + 0.226446i 0.0116074 + 0.00843329i
\(722\) −27.0134 19.6264i −1.00534 0.730419i
\(723\) 3.08858 + 9.50569i 0.114866 + 0.353520i
\(724\) 42.6699 31.0015i 1.58581 1.15216i
\(725\) 11.5389 + 35.5132i 0.428545 + 1.31893i
\(726\) −21.4502 + 66.0168i −0.796090 + 2.45011i
\(727\) 10.6011 + 7.70211i 0.393171 + 0.285656i 0.766754 0.641941i \(-0.221871\pi\)
−0.373583 + 0.927597i \(0.621871\pi\)
\(728\) 3.61791 11.1348i 0.134089 0.412683i
\(729\) −11.4840 + 35.3443i −0.425335 + 1.30905i
\(730\) −21.5678 15.6699i −0.798260 0.579970i
\(731\) −15.2321 + 46.8797i −0.563381 + 1.73391i
\(732\) −19.9417 61.3743i −0.737067 2.26846i
\(733\) 15.7881 11.4707i 0.583145 0.423680i −0.256711 0.966488i \(-0.582639\pi\)
0.839857 + 0.542808i \(0.182639\pi\)
\(734\) 31.3659 + 96.5344i 1.15774 + 3.56315i
\(735\) 9.38263 + 6.81688i 0.346083 + 0.251444i
\(736\) −6.22112 4.51991i −0.229314 0.166606i
\(737\) 2.50139 1.81737i 0.0921399 0.0669436i
\(738\) 105.916 3.89883
\(739\) 49.2886 1.81311 0.906556 0.422085i \(-0.138702\pi\)
0.906556 + 0.422085i \(0.138702\pi\)
\(740\) 10.7111 7.78205i 0.393747 0.286074i
\(741\) 2.04522 6.29454i 0.0751330 0.231236i
\(742\) −8.42818 25.9393i −0.309408 0.952261i
\(743\) 23.8803 0.876083 0.438042 0.898955i \(-0.355672\pi\)
0.438042 + 0.898955i \(0.355672\pi\)
\(744\) −57.4933 110.951i −2.10781 4.06766i
\(745\) −1.90492 −0.0697909
\(746\) 12.5037 + 38.4823i 0.457792 + 1.40894i
\(747\) 2.23376 6.87481i 0.0817291 0.251536i
\(748\) −25.7727 + 18.7249i −0.942342 + 0.684651i
\(749\) 10.7055 0.391170
\(750\) 55.5921 2.02994
\(751\) 21.6807 15.7519i 0.791138 0.574796i −0.117163 0.993113i \(-0.537380\pi\)
0.908301 + 0.418317i \(0.137380\pi\)
\(752\) −91.1926 66.2553i −3.32545 2.41608i
\(753\) 46.9796 + 34.1327i 1.71203 + 1.24386i
\(754\) 7.30446 + 22.4808i 0.266013 + 0.818703i
\(755\) −10.8571 + 7.88818i −0.395132 + 0.287080i
\(756\) 3.65051 + 11.2351i 0.132768 + 0.408617i
\(757\) −3.03566 + 9.34281i −0.110333 + 0.339570i −0.990945 0.134268i \(-0.957132\pi\)
0.880612 + 0.473838i \(0.157132\pi\)
\(758\) 53.5173 + 38.8826i 1.94383 + 1.41228i
\(759\) 0.351019 1.08033i 0.0127412 0.0392133i
\(760\) −5.98052 + 18.4061i −0.216936 + 0.667661i
\(761\) −8.30309 6.03255i −0.300987 0.218680i 0.427033 0.904236i \(-0.359559\pi\)
−0.728019 + 0.685556i \(0.759559\pi\)
\(762\) −24.8197 + 76.3873i −0.899124 + 2.76722i
\(763\) 7.38125 + 22.7171i 0.267219 + 0.822416i
\(764\) 90.4689 65.7295i 3.27305