Properties

Label 230.2.l.a.63.8
Level $230$
Weight $2$
Character 230.63
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 63.8
Character \(\chi\) \(=\) 230.63
Dual form 230.2.l.a.157.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.349464 + 0.936950i) q^{2} +(-0.926949 - 1.69758i) q^{3} +(-0.755750 + 0.654861i) q^{4} +(2.12979 - 0.681161i) q^{5} +(1.26661 - 1.46175i) q^{6} +(-0.983009 + 0.735871i) q^{7} +(-0.877679 - 0.479249i) q^{8} +(-0.400622 + 0.623380i) q^{9} +O(q^{10})\) \(q+(0.349464 + 0.936950i) q^{2} +(-0.926949 - 1.69758i) q^{3} +(-0.755750 + 0.654861i) q^{4} +(2.12979 - 0.681161i) q^{5} +(1.26661 - 1.46175i) q^{6} +(-0.983009 + 0.735871i) q^{7} +(-0.877679 - 0.479249i) q^{8} +(-0.400622 + 0.623380i) q^{9} +(1.38250 + 1.75747i) q^{10} +(3.08362 - 1.40824i) q^{11} +(1.81222 + 0.675923i) q^{12} +(4.09692 - 5.47285i) q^{13} +(-1.03300 - 0.663869i) q^{14} +(-3.13054 - 2.98409i) q^{15} +(0.142315 - 0.989821i) q^{16} +(-3.00282 + 0.214766i) q^{17} +(-0.724078 - 0.157514i) q^{18} +(1.88225 + 2.17223i) q^{19} +(-1.16352 + 1.90951i) q^{20} +(2.16040 + 0.986621i) q^{21} +(2.39707 + 2.39707i) q^{22} +(-2.74231 + 3.93443i) q^{23} +1.93417i q^{24} +(4.07204 - 2.90146i) q^{25} +(6.55951 + 1.92605i) q^{26} +(-4.35813 - 0.311700i) q^{27} +(0.261015 - 1.19987i) q^{28} +(3.99884 + 3.46501i) q^{29} +(1.70194 - 3.97599i) q^{30} +(-5.92845 + 1.74075i) q^{31} +(0.977147 - 0.212565i) q^{32} +(-5.24896 - 3.92933i) q^{33} +(-1.25060 - 2.73844i) q^{34} +(-1.59236 + 2.23684i) q^{35} +(-0.105457 - 0.733470i) q^{36} +(1.42375 + 6.54487i) q^{37} +(-1.37749 + 2.52269i) q^{38} +(-13.0882 - 1.88180i) q^{39} +(-2.19572 - 0.422860i) q^{40} +(-2.34072 + 1.50429i) q^{41} +(-0.169432 + 2.36897i) q^{42} +(-7.40121 + 4.04137i) q^{43} +(-1.40824 + 3.08362i) q^{44} +(-0.428620 + 1.60056i) q^{45} +(-4.64470 - 1.19446i) q^{46} +(5.79351 - 5.79351i) q^{47} +(-1.81222 + 0.675923i) q^{48} +(-1.54733 + 5.26972i) q^{49} +(4.14156 + 2.80134i) q^{50} +(3.14805 + 4.89846i) q^{51} +(0.487706 + 6.81902i) q^{52} +(-6.30233 - 8.41893i) q^{53} +(-1.23096 - 4.19228i) q^{54} +(5.60824 - 5.09971i) q^{55} +(1.21543 - 0.174753i) q^{56} +(1.94279 - 5.20882i) q^{57} +(-1.84909 + 4.95761i) q^{58} +(7.66795 - 1.10249i) q^{59} +(4.32007 + 0.205163i) q^{60} +(0.704279 + 2.39855i) q^{61} +(-3.70278 - 4.94633i) q^{62} +(-0.0649124 - 0.907593i) q^{63} +(0.540641 + 0.841254i) q^{64} +(4.99771 - 14.4467i) q^{65} +(1.84726 - 6.29117i) q^{66} +(-8.58840 + 3.20331i) q^{67} +(2.12874 - 2.12874i) q^{68} +(9.22099 + 1.00827i) q^{69} +(-2.65228 - 0.710264i) q^{70} +(-1.74986 + 3.83166i) q^{71} +(0.650371 - 0.355130i) q^{72} +(-0.0550313 + 0.769439i) q^{73} +(-5.63467 + 3.62118i) q^{74} +(-8.70004 - 4.22310i) q^{75} +(-2.84502 - 0.409052i) q^{76} +(-1.99494 + 3.65346i) q^{77} +(-2.81071 - 12.9206i) q^{78} +(0.551491 + 3.83570i) q^{79} +(-0.371127 - 2.20505i) q^{80} +(4.43411 + 9.70936i) q^{81} +(-2.22744 - 1.66744i) q^{82} +(11.8197 - 2.57122i) q^{83} +(-2.27882 + 0.669122i) q^{84} +(-6.24911 + 2.50282i) q^{85} +(-6.37301 - 5.52225i) q^{86} +(2.17542 - 10.0002i) q^{87} +(-3.38133 - 0.241837i) q^{88} +(10.7709 + 3.16262i) q^{89} +(-1.64943 + 0.157743i) q^{90} +8.39466i q^{91} +(-0.504008 - 4.76927i) q^{92} +(8.45044 + 8.45044i) q^{93} +(7.45285 + 3.40360i) q^{94} +(5.48844 + 3.34429i) q^{95} +(-1.26661 - 1.46175i) q^{96} +(-6.29292 - 1.36894i) q^{97} +(-5.47819 + 0.391808i) q^{98} +(-0.357496 + 2.48644i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.349464 + 0.936950i 0.247108 + 0.662524i
\(3\) −0.926949 1.69758i −0.535174 0.980098i −0.995716 0.0924605i \(-0.970527\pi\)
0.460542 0.887638i \(-0.347655\pi\)
\(4\) −0.755750 + 0.654861i −0.377875 + 0.327430i
\(5\) 2.12979 0.681161i 0.952473 0.304625i
\(6\) 1.26661 1.46175i 0.517092 0.596756i
\(7\) −0.983009 + 0.735871i −0.371542 + 0.278133i −0.768690 0.639622i \(-0.779091\pi\)
0.397148 + 0.917755i \(0.370000\pi\)
\(8\) −0.877679 0.479249i −0.310306 0.169440i
\(9\) −0.400622 + 0.623380i −0.133541 + 0.207793i
\(10\) 1.38250 + 1.75747i 0.437185 + 0.555760i
\(11\) 3.08362 1.40824i 0.929747 0.424601i 0.107805 0.994172i \(-0.465618\pi\)
0.821942 + 0.569571i \(0.192891\pi\)
\(12\) 1.81222 + 0.675923i 0.523143 + 0.195122i
\(13\) 4.09692 5.47285i 1.13628 1.51790i 0.313455 0.949603i \(-0.398513\pi\)
0.822827 0.568292i \(-0.192396\pi\)
\(14\) −1.03300 0.663869i −0.276081 0.177426i
\(15\) −3.13054 2.98409i −0.808301 0.770490i
\(16\) 0.142315 0.989821i 0.0355787 0.247455i
\(17\) −3.00282 + 0.214766i −0.728292 + 0.0520885i −0.430561 0.902561i \(-0.641684\pi\)
−0.297731 + 0.954650i \(0.596230\pi\)
\(18\) −0.724078 0.157514i −0.170667 0.0371263i
\(19\) 1.88225 + 2.17223i 0.431818 + 0.498344i 0.929401 0.369072i \(-0.120325\pi\)
−0.497583 + 0.867416i \(0.665779\pi\)
\(20\) −1.16352 + 1.90951i −0.260172 + 0.426978i
\(21\) 2.16040 + 0.986621i 0.471438 + 0.215298i
\(22\) 2.39707 + 2.39707i 0.511057 + 0.511057i
\(23\) −2.74231 + 3.93443i −0.571810 + 0.820386i
\(24\) 1.93417i 0.394811i
\(25\) 4.07204 2.90146i 0.814408 0.580293i
\(26\) 6.55951 + 1.92605i 1.28643 + 0.377729i
\(27\) −4.35813 0.311700i −0.838723 0.0599867i
\(28\) 0.261015 1.19987i 0.0493273 0.226754i
\(29\) 3.99884 + 3.46501i 0.742565 + 0.643436i 0.941668 0.336542i \(-0.109257\pi\)
−0.199103 + 0.979979i \(0.563803\pi\)
\(30\) 1.70194 3.97599i 0.310729 0.725913i
\(31\) −5.92845 + 1.74075i −1.06478 + 0.312648i −0.766775 0.641916i \(-0.778140\pi\)
−0.298007 + 0.954564i \(0.596322\pi\)
\(32\) 0.977147 0.212565i 0.172737 0.0375766i
\(33\) −5.24896 3.92933i −0.913727 0.684008i
\(34\) −1.25060 2.73844i −0.214477 0.469639i
\(35\) −1.59236 + 2.23684i −0.269158 + 0.378095i
\(36\) −0.105457 0.733470i −0.0175762 0.122245i
\(37\) 1.42375 + 6.54487i 0.234063 + 1.07597i 0.932745 + 0.360538i \(0.117407\pi\)
−0.698682 + 0.715433i \(0.746230\pi\)
\(38\) −1.37749 + 2.52269i −0.223459 + 0.409234i
\(39\) −13.0882 1.88180i −2.09580 0.301330i
\(40\) −2.19572 0.422860i −0.347174 0.0668601i
\(41\) −2.34072 + 1.50429i −0.365559 + 0.234930i −0.710505 0.703692i \(-0.751533\pi\)
0.344946 + 0.938622i \(0.387897\pi\)
\(42\) −0.169432 + 2.36897i −0.0261440 + 0.365541i
\(43\) −7.40121 + 4.04137i −1.12867 + 0.616302i −0.931382 0.364042i \(-0.881396\pi\)
−0.197291 + 0.980345i \(0.563215\pi\)
\(44\) −1.40824 + 3.08362i −0.212301 + 0.464873i
\(45\) −0.428620 + 1.60056i −0.0638948 + 0.238597i
\(46\) −4.64470 1.19446i −0.684824 0.176114i
\(47\) 5.79351 5.79351i 0.845070 0.845070i −0.144443 0.989513i \(-0.546139\pi\)
0.989513 + 0.144443i \(0.0461389\pi\)
\(48\) −1.81222 + 0.675923i −0.261571 + 0.0975611i
\(49\) −1.54733 + 5.26972i −0.221047 + 0.752817i
\(50\) 4.14156 + 2.80134i 0.585705 + 0.396169i
\(51\) 3.14805 + 4.89846i 0.440815 + 0.685921i
\(52\) 0.487706 + 6.81902i 0.0676326 + 0.945628i
\(53\) −6.30233 8.41893i −0.865692 1.15643i −0.986501 0.163754i \(-0.947640\pi\)
0.120809 0.992676i \(-0.461451\pi\)
\(54\) −1.23096 4.19228i −0.167513 0.570497i
\(55\) 5.60824 5.09971i 0.756214 0.687645i
\(56\) 1.21543 0.174753i 0.162419 0.0233523i
\(57\) 1.94279 5.20882i 0.257329 0.689925i
\(58\) −1.84909 + 4.95761i −0.242798 + 0.650966i
\(59\) 7.66795 1.10249i 0.998282 0.143531i 0.376246 0.926520i \(-0.377215\pi\)
0.622036 + 0.782988i \(0.286306\pi\)
\(60\) 4.32007 + 0.205163i 0.557718 + 0.0264864i
\(61\) 0.704279 + 2.39855i 0.0901737 + 0.307103i 0.992213 0.124550i \(-0.0397486\pi\)
−0.902040 + 0.431653i \(0.857930\pi\)
\(62\) −3.70278 4.94633i −0.470253 0.628185i
\(63\) −0.0649124 0.907593i −0.00817819 0.114346i
\(64\) 0.540641 + 0.841254i 0.0675801 + 0.105157i
\(65\) 4.99771 14.4467i 0.619889 1.79189i
\(66\) 1.84726 6.29117i 0.227381 0.774390i
\(67\) −8.58840 + 3.20331i −1.04924 + 0.391346i −0.814167 0.580631i \(-0.802806\pi\)
−0.235073 + 0.971978i \(0.575533\pi\)
\(68\) 2.12874 2.12874i 0.258148 0.258148i
\(69\) 9.22099 + 1.00827i 1.11008 + 0.121381i
\(70\) −2.65228 0.710264i −0.317008 0.0848928i
\(71\) −1.74986 + 3.83166i −0.207670 + 0.454734i −0.984593 0.174862i \(-0.944052\pi\)
0.776923 + 0.629596i \(0.216779\pi\)
\(72\) 0.650371 0.355130i 0.0766470 0.0418524i
\(73\) −0.0550313 + 0.769439i −0.00644093 + 0.0900560i −0.999656 0.0262385i \(-0.991647\pi\)
0.993215 + 0.116294i \(0.0371016\pi\)
\(74\) −5.63467 + 3.62118i −0.655017 + 0.420954i
\(75\) −8.70004 4.22310i −1.00459 0.487642i
\(76\) −2.84502 0.409052i −0.326346 0.0469215i
\(77\) −1.99494 + 3.65346i −0.227345 + 0.416351i
\(78\) −2.81071 12.9206i −0.318251 1.46297i
\(79\) 0.551491 + 3.83570i 0.0620476 + 0.431550i 0.997040 + 0.0768830i \(0.0244968\pi\)
−0.934993 + 0.354667i \(0.884594\pi\)
\(80\) −0.371127 2.20505i −0.0414932 0.246533i
\(81\) 4.43411 + 9.70936i 0.492679 + 1.07882i
\(82\) −2.22744 1.66744i −0.245979 0.184138i
\(83\) 11.8197 2.57122i 1.29738 0.282228i 0.489722 0.871879i \(-0.337098\pi\)
0.807658 + 0.589651i \(0.200735\pi\)
\(84\) −2.27882 + 0.669122i −0.248640 + 0.0730072i
\(85\) −6.24911 + 2.50282i −0.677811 + 0.271468i
\(86\) −6.37301 5.52225i −0.687220 0.595479i
\(87\) 2.17542 10.0002i 0.233229 1.07214i
\(88\) −3.38133 0.241837i −0.360451 0.0257800i
\(89\) 10.7709 + 3.16262i 1.14171 + 0.335237i 0.797302 0.603581i \(-0.206260\pi\)
0.344412 + 0.938819i \(0.388078\pi\)
\(90\) −1.64943 + 0.157743i −0.173865 + 0.0166275i
\(91\) 8.39466i 0.880000i
\(92\) −0.504008 4.76927i −0.0525465 0.497231i
\(93\) 8.45044 + 8.45044i 0.876270 + 0.876270i
\(94\) 7.45285 + 3.40360i 0.768703 + 0.351055i
\(95\) 5.48844 + 3.34429i 0.563102 + 0.343117i
\(96\) −1.26661 1.46175i −0.129273 0.149189i
\(97\) −6.29292 1.36894i −0.638949 0.138995i −0.118591 0.992943i \(-0.537838\pi\)
−0.520358 + 0.853948i \(0.674201\pi\)
\(98\) −5.47819 + 0.391808i −0.553381 + 0.0395786i
\(99\) −0.357496 + 2.48644i −0.0359297 + 0.249897i
\(100\) −1.17739 + 4.85940i −0.117739 + 0.485940i
\(101\) −7.95674 5.11349i −0.791725 0.508811i 0.0811808 0.996699i \(-0.474131\pi\)
−0.872906 + 0.487889i \(0.837767\pi\)
\(102\) −3.48948 + 4.66140i −0.345510 + 0.461547i
\(103\) 2.16597 + 0.807867i 0.213420 + 0.0796015i 0.453900 0.891053i \(-0.350032\pi\)
−0.240480 + 0.970654i \(0.577305\pi\)
\(104\) −6.21864 + 2.83996i −0.609788 + 0.278481i
\(105\) 5.27325 + 0.629719i 0.514617 + 0.0614543i
\(106\) 5.68568 8.84709i 0.552242 0.859305i
\(107\) 0.840901 + 0.459167i 0.0812930 + 0.0443893i 0.519381 0.854543i \(-0.326162\pi\)
−0.438088 + 0.898932i \(0.644344\pi\)
\(108\) 3.49778 2.61840i 0.336574 0.251956i
\(109\) −2.27494 + 2.62542i −0.217900 + 0.251470i −0.854167 0.519999i \(-0.825932\pi\)
0.636267 + 0.771469i \(0.280478\pi\)
\(110\) 6.73805 + 3.47247i 0.642448 + 0.331087i
\(111\) 9.79070 8.48369i 0.929293 0.805237i
\(112\) 0.588484 + 1.07773i 0.0556065 + 0.101836i
\(113\) 2.72859 + 7.31563i 0.256684 + 0.688197i 0.999818 + 0.0190545i \(0.00606559\pi\)
−0.743134 + 0.669142i \(0.766662\pi\)
\(114\) 5.55933 0.520679
\(115\) −3.16056 + 10.2475i −0.294724 + 0.955582i
\(116\) −5.29122 −0.491277
\(117\) 1.77035 + 4.74648i 0.163669 + 0.438812i
\(118\) 3.71265 + 6.79921i 0.341777 + 0.625918i
\(119\) 2.79376 2.42081i 0.256104 0.221915i
\(120\) 1.31748 + 4.11938i 0.120269 + 0.376046i
\(121\) 0.322105 0.371729i 0.0292823 0.0337936i
\(122\) −2.00120 + 1.49808i −0.181181 + 0.135630i
\(123\) 4.72337 + 2.57916i 0.425892 + 0.232555i
\(124\) 3.34048 5.19788i 0.299984 0.466784i
\(125\) 6.69624 8.95324i 0.598930 0.800802i
\(126\) 0.827685 0.377991i 0.0737360 0.0336741i
\(127\) −5.69516 2.12418i −0.505363 0.188491i 0.0838343 0.996480i \(-0.473283\pi\)
−0.589198 + 0.807989i \(0.700556\pi\)
\(128\) −0.599278 + 0.800541i −0.0529692 + 0.0707585i
\(129\) 13.7211 + 8.81801i 1.20807 + 0.776382i
\(130\) 15.2824 0.366004i 1.34035 0.0321006i
\(131\) −0.343618 + 2.38992i −0.0300220 + 0.208808i −0.999311 0.0371170i \(-0.988183\pi\)
0.969289 + 0.245925i \(0.0790917\pi\)
\(132\) 6.54006 0.467755i 0.569239 0.0407128i
\(133\) −3.44875 0.750229i −0.299044 0.0650531i
\(134\) −6.00268 6.92746i −0.518552 0.598441i
\(135\) −9.49424 + 2.30473i −0.817134 + 0.198360i
\(136\) 2.73844 + 1.25060i 0.234820 + 0.107238i
\(137\) 11.5177 + 11.5177i 0.984027 + 0.984027i 0.999874 0.0158474i \(-0.00504459\pi\)
−0.0158474 + 0.999874i \(0.505045\pi\)
\(138\) 2.27771 + 8.99196i 0.193892 + 0.765446i
\(139\) 2.36411i 0.200522i −0.994961 0.100261i \(-0.968032\pi\)
0.994961 0.100261i \(-0.0319677\pi\)
\(140\) −0.261395 2.73326i −0.0220919 0.231003i
\(141\) −15.2052 4.46466i −1.28051 0.375992i
\(142\) −4.20158 0.300503i −0.352589 0.0252177i
\(143\) 4.92626 22.6457i 0.411955 1.89372i
\(144\) 0.560020 + 0.485260i 0.0466683 + 0.0404383i
\(145\) 10.8769 + 4.65591i 0.903280 + 0.386652i
\(146\) −0.740157 + 0.217330i −0.0612558 + 0.0179863i
\(147\) 10.3801 2.25804i 0.856133 0.186240i
\(148\) −5.36198 4.01393i −0.440752 0.329943i
\(149\) −7.08181 15.5070i −0.580164 1.27038i −0.941206 0.337833i \(-0.890306\pi\)
0.361042 0.932550i \(-0.382421\pi\)
\(150\) 0.916482 9.62732i 0.0748305 0.786068i
\(151\) −1.51690 10.5503i −0.123443 0.858568i −0.953608 0.301050i \(-0.902663\pi\)
0.830165 0.557518i \(-0.188246\pi\)
\(152\) −0.610971 2.80859i −0.0495563 0.227807i
\(153\) 1.06912 1.95794i 0.0864329 0.158290i
\(154\) −4.12027 0.592406i −0.332021 0.0477374i
\(155\) −11.4406 + 7.74567i −0.918935 + 0.622147i
\(156\) 11.1237 7.14880i 0.890613 0.572362i
\(157\) −1.41059 + 19.7227i −0.112578 + 1.57404i 0.556500 + 0.830848i \(0.312144\pi\)
−0.669077 + 0.743193i \(0.733311\pi\)
\(158\) −3.40114 + 1.85716i −0.270580 + 0.147748i
\(159\) −8.44987 + 18.5026i −0.670118 + 1.46735i
\(160\) 1.93633 1.11831i 0.153080 0.0884105i
\(161\) −0.199523 5.88556i −0.0157247 0.463847i
\(162\) −7.54761 + 7.54761i −0.592997 + 0.592997i
\(163\) 11.5169 4.29560i 0.902077 0.336457i 0.144731 0.989471i \(-0.453768\pi\)
0.757346 + 0.653014i \(0.226496\pi\)
\(164\) 0.783897 2.66971i 0.0612121 0.208469i
\(165\) −13.8557 4.79326i −1.07867 0.373155i
\(166\) 6.53966 + 10.1759i 0.507576 + 0.789804i
\(167\) −1.80228 25.1992i −0.139465 1.94997i −0.280233 0.959932i \(-0.590412\pi\)
0.140768 0.990043i \(-0.455043\pi\)
\(168\) −1.42330 1.90131i −0.109810 0.146689i
\(169\) −9.50477 32.3703i −0.731136 2.49002i
\(170\) −4.52885 4.98045i −0.347347 0.381983i
\(171\) −2.10819 + 0.303113i −0.161218 + 0.0231796i
\(172\) 2.94693 7.90102i 0.224701 0.602447i
\(173\) −5.32333 + 14.2724i −0.404725 + 1.08511i 0.561515 + 0.827467i \(0.310219\pi\)
−0.966240 + 0.257644i \(0.917054\pi\)
\(174\) 10.1299 1.45647i 0.767949 0.110414i
\(175\) −1.86775 + 5.84866i −0.141188 + 0.442117i
\(176\) −0.955064 3.25265i −0.0719906 0.245178i
\(177\) −8.97936 11.9950i −0.674930 0.901601i
\(178\) 0.800827 + 11.1970i 0.0600245 + 0.839252i
\(179\) −8.47074 13.1807i −0.633133 0.985174i −0.998524 0.0543197i \(-0.982701\pi\)
0.365391 0.930854i \(-0.380935\pi\)
\(180\) −0.724213 1.49031i −0.0539797 0.111081i
\(181\) 0.978450 3.33229i 0.0727276 0.247687i −0.915103 0.403220i \(-0.867891\pi\)
0.987831 + 0.155532i \(0.0497092\pi\)
\(182\) −7.86538 + 2.93363i −0.583021 + 0.217455i
\(183\) 3.41891 3.41891i 0.252733 0.252733i
\(184\) 4.29244 2.13892i 0.316443 0.157683i
\(185\) 7.49041 + 12.9694i 0.550706 + 0.953531i
\(186\) −4.96451 + 10.8708i −0.364016 + 0.797083i
\(187\) −8.95713 + 4.89096i −0.655010 + 0.357663i
\(188\) −0.584501 + 8.17239i −0.0426291 + 0.596033i
\(189\) 4.51345 2.90062i 0.328305 0.210989i
\(190\) −1.21542 + 6.31110i −0.0881756 + 0.457855i
\(191\) 5.15843 + 0.741671i 0.373251 + 0.0536654i 0.326388 0.945236i \(-0.394168\pi\)
0.0468632 + 0.998901i \(0.485078\pi\)
\(192\) 0.926949 1.69758i 0.0668968 0.122512i
\(193\) 2.17118 + 9.98077i 0.156285 + 0.718431i 0.986867 + 0.161535i \(0.0516444\pi\)
−0.830582 + 0.556897i \(0.811992\pi\)
\(194\) −0.916521 6.37454i −0.0658023 0.457665i
\(195\) −29.1571 + 4.90734i −2.08798 + 0.351422i
\(196\) −2.28154 4.99587i −0.162967 0.356848i
\(197\) 10.2259 + 7.65502i 0.728566 + 0.545398i 0.897921 0.440158i \(-0.145077\pi\)
−0.169355 + 0.985555i \(0.554168\pi\)
\(198\) −2.45460 + 0.533966i −0.174441 + 0.0379473i
\(199\) 12.5975 3.69896i 0.893013 0.262212i 0.197138 0.980376i \(-0.436835\pi\)
0.695874 + 0.718164i \(0.255017\pi\)
\(200\) −4.96447 + 0.595034i −0.351041 + 0.0420753i
\(201\) 13.3989 + 11.6102i 0.945084 + 0.818920i
\(202\) 2.01048 9.24205i 0.141457 0.650268i
\(203\) −6.48069 0.463508i −0.454855 0.0325319i
\(204\) −5.58694 1.64047i −0.391164 0.114856i
\(205\) −3.96058 + 4.79823i −0.276619 + 0.335123i
\(206\) 2.31173i 0.161066i
\(207\) −1.35402 3.28572i −0.0941107 0.228373i
\(208\) −4.83409 4.83409i −0.335184 0.335184i
\(209\) 8.86317 + 4.04768i 0.613078 + 0.279984i
\(210\) 1.25280 + 5.16084i 0.0864512 + 0.356131i
\(211\) −7.81515 9.01916i −0.538017 0.620905i 0.420032 0.907509i \(-0.362019\pi\)
−0.958049 + 0.286605i \(0.907473\pi\)
\(212\) 10.2762 + 2.23545i 0.705773 + 0.153532i
\(213\) 8.12658 0.581224i 0.556824 0.0398248i
\(214\) −0.136351 + 0.948344i −0.00932078 + 0.0648275i
\(215\) −13.0102 + 13.6487i −0.887290 + 0.930833i
\(216\) 3.67566 + 2.36220i 0.250097 + 0.160728i
\(217\) 4.54675 6.07375i 0.308654 0.412313i
\(218\) −3.25490 1.21402i −0.220450 0.0822235i
\(219\) 1.35720 0.619810i 0.0917108 0.0418829i
\(220\) −0.898823 + 7.52672i −0.0605986 + 0.507451i
\(221\) −11.1270 + 17.3139i −0.748480 + 1.16466i
\(222\) 11.3703 + 6.20865i 0.763124 + 0.416697i
\(223\) −20.6740 + 15.4764i −1.38443 + 1.03637i −0.391191 + 0.920309i \(0.627937\pi\)
−0.993242 + 0.116064i \(0.962972\pi\)
\(224\) −0.804123 + 0.928008i −0.0537277 + 0.0620051i
\(225\) 0.177367 + 3.70082i 0.0118244 + 0.246721i
\(226\) −5.90083 + 5.11310i −0.392518 + 0.340119i
\(227\) 9.05939 + 16.5910i 0.601293 + 1.10119i 0.984143 + 0.177375i \(0.0567606\pi\)
−0.382851 + 0.923810i \(0.625058\pi\)
\(228\) 1.94279 + 5.20882i 0.128664 + 0.344962i
\(229\) −16.1141 −1.06485 −0.532425 0.846477i \(-0.678719\pi\)
−0.532425 + 0.846477i \(0.678719\pi\)
\(230\) −10.7059 + 0.619837i −0.705925 + 0.0408709i
\(231\) 8.05125 0.529734
\(232\) −1.84909 4.95761i −0.121399 0.325483i
\(233\) −10.1254 18.5433i −0.663338 1.21481i −0.965213 0.261466i \(-0.915794\pi\)
0.301875 0.953348i \(-0.402388\pi\)
\(234\) −3.82854 + 3.31745i −0.250280 + 0.216868i
\(235\) 8.39267 16.2853i 0.547477 1.06234i
\(236\) −5.07308 + 5.85464i −0.330229 + 0.381105i
\(237\) 6.00021 4.49170i 0.389756 0.291767i
\(238\) 3.24450 + 1.77163i 0.210309 + 0.114838i
\(239\) −6.52812 + 10.1580i −0.422269 + 0.657064i −0.985586 0.169178i \(-0.945889\pi\)
0.563316 + 0.826241i \(0.309525\pi\)
\(240\) −3.39924 + 2.67399i −0.219420 + 0.172605i
\(241\) 10.8647 4.96172i 0.699854 0.319613i −0.0335197 0.999438i \(-0.510672\pi\)
0.733374 + 0.679825i \(0.237944\pi\)
\(242\) 0.460856 + 0.171890i 0.0296249 + 0.0110495i
\(243\) 4.51700 6.03401i 0.289766 0.387082i
\(244\) −2.10298 1.35150i −0.134629 0.0865210i
\(245\) 0.294036 + 12.2774i 0.0187853 + 0.784373i
\(246\) −0.765891 + 5.32689i −0.0488314 + 0.339630i
\(247\) 19.5997 1.40180i 1.24710 0.0891944i
\(248\) 6.03753 + 1.31338i 0.383384 + 0.0834000i
\(249\) −15.3211 17.6815i −0.970935 1.12052i
\(250\) 10.7288 + 3.14520i 0.678551 + 0.198920i
\(251\) −0.919601 0.419968i −0.0580447 0.0265081i 0.386181 0.922423i \(-0.373794\pi\)
−0.444226 + 0.895915i \(0.646521\pi\)
\(252\) 0.643405 + 0.643405i 0.0405307 + 0.0405307i
\(253\) −2.91560 + 15.9941i −0.183302 + 1.00554i
\(254\) 6.07840i 0.381393i
\(255\) 10.0413 + 8.28838i 0.628813 + 0.519038i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) −9.16410 0.655430i −0.571641 0.0408846i −0.217473 0.976066i \(-0.569781\pi\)
−0.354168 + 0.935182i \(0.615236\pi\)
\(258\) −3.46700 + 15.9375i −0.215846 + 0.992228i
\(259\) −6.21574 5.38597i −0.386227 0.334668i
\(260\) 5.68356 + 14.1909i 0.352480 + 0.880082i
\(261\) −3.76204 + 1.10463i −0.232864 + 0.0683751i
\(262\) −2.35931 + 0.513237i −0.145759 + 0.0317079i
\(263\) 5.75031 + 4.30463i 0.354579 + 0.265435i 0.761687 0.647946i \(-0.224372\pi\)
−0.407107 + 0.913380i \(0.633463\pi\)
\(264\) 2.72378 + 5.96425i 0.167637 + 0.367074i
\(265\) −19.1573 13.6377i −1.17682 0.837756i
\(266\) −0.502287 3.49348i −0.0307972 0.214199i
\(267\) −4.61527 21.2161i −0.282450 1.29840i
\(268\) 4.39296 8.04510i 0.268343 0.491433i
\(269\) −7.47323 1.07449i −0.455651 0.0655127i −0.0893315 0.996002i \(-0.528473\pi\)
−0.366319 + 0.930489i \(0.619382\pi\)
\(270\) −5.47732 8.09020i −0.333339 0.492354i
\(271\) −17.8817 + 11.4919i −1.08624 + 0.698083i −0.955990 0.293399i \(-0.905214\pi\)
−0.130248 + 0.991481i \(0.541577\pi\)
\(272\) −0.214766 + 3.00282i −0.0130221 + 0.182073i
\(273\) 14.2506 7.78142i 0.862487 0.470953i
\(274\) −6.76651 + 14.8166i −0.408780 + 0.895102i
\(275\) 8.47066 14.6814i 0.510800 0.885324i
\(276\) −7.62904 + 5.27647i −0.459214 + 0.317606i
\(277\) −18.4280 + 18.4280i −1.10723 + 1.10723i −0.113720 + 0.993513i \(0.536277\pi\)
−0.993513 + 0.113720i \(0.963723\pi\)
\(278\) 2.21506 0.826173i 0.132850 0.0495506i
\(279\) 1.28992 4.39306i 0.0772254 0.263006i
\(280\) 2.46958 1.20009i 0.147586 0.0717192i
\(281\) −14.0624 21.8815i −0.838890 1.30534i −0.950228 0.311556i \(-0.899150\pi\)
0.111338 0.993783i \(-0.464486\pi\)
\(282\) −1.13052 15.8068i −0.0673217 0.941280i
\(283\) 16.6140 + 22.1937i 0.987601 + 1.31928i 0.947388 + 0.320089i \(0.103713\pi\)
0.0402131 + 0.999191i \(0.487196\pi\)
\(284\) −1.18675 4.04169i −0.0704205 0.239830i
\(285\) 0.589694 12.4171i 0.0349304 0.735523i
\(286\) 22.9394 3.29819i 1.35643 0.195026i
\(287\) 1.19398 3.20119i 0.0704786 0.188961i
\(288\) −0.258957 + 0.694292i −0.0152592 + 0.0409115i
\(289\) −7.85613 + 1.12954i −0.462125 + 0.0664436i
\(290\) −0.561254 + 11.8182i −0.0329580 + 0.693989i
\(291\) 3.50933 + 11.9517i 0.205720 + 0.700619i
\(292\) −0.462285 0.617541i −0.0270532 0.0361388i
\(293\) −2.01578 28.1843i −0.117763 1.64654i −0.622029 0.782995i \(-0.713691\pi\)
0.504266 0.863549i \(-0.331763\pi\)
\(294\) 5.74313 + 8.93649i 0.334946 + 0.521187i
\(295\) 15.5802 7.57118i 0.907113 0.440811i
\(296\) 1.88703 6.42663i 0.109681 0.373540i
\(297\) −13.8778 + 5.17614i −0.805270 + 0.300350i
\(298\) 12.0544 12.0544i 0.698295 0.698295i
\(299\) 10.2975 + 31.1273i 0.595522 + 1.80014i
\(300\) 9.34060 2.50571i 0.539280 0.144667i
\(301\) 4.30153 9.41903i 0.247936 0.542904i
\(302\) 9.35496 5.10820i 0.538318 0.293944i
\(303\) −1.30506 + 18.2471i −0.0749738 + 1.04827i
\(304\) 2.41799 1.55395i 0.138681 0.0891251i
\(305\) 3.13377 + 4.62870i 0.179439 + 0.265038i
\(306\) 2.20811 + 0.317478i 0.126229 + 0.0181490i
\(307\) 9.81051 17.9666i 0.559916 1.02541i −0.432401 0.901682i \(-0.642333\pi\)
0.992316 0.123727i \(-0.0394848\pi\)
\(308\) −0.884833 4.06751i −0.0504180 0.231768i
\(309\) −0.636329 4.42577i −0.0361995 0.251773i
\(310\) −11.2554 8.01248i −0.639264 0.455078i
\(311\) −5.98405 13.1032i −0.339324 0.743017i 0.660646 0.750698i \(-0.270282\pi\)
−0.999971 + 0.00768068i \(0.997555\pi\)
\(312\) 10.5854 + 7.92414i 0.599281 + 0.448616i
\(313\) 24.1463 5.25270i 1.36483 0.296900i 0.530274 0.847826i \(-0.322089\pi\)
0.834554 + 0.550926i \(0.185725\pi\)
\(314\) −18.9721 + 5.57071i −1.07066 + 0.314373i
\(315\) −0.756467 1.88877i −0.0426221 0.106420i
\(316\) −2.92864 2.53768i −0.164749 0.142756i
\(317\) 3.16918 14.5685i 0.177999 0.818248i −0.798375 0.602161i \(-0.794307\pi\)
0.976374 0.216088i \(-0.0693297\pi\)
\(318\) −20.2890 1.45110i −1.13775 0.0813734i
\(319\) 17.2105 + 5.05345i 0.963602 + 0.282939i
\(320\) 1.72448 + 1.42343i 0.0964015 + 0.0795723i
\(321\) 1.85312i 0.103431i
\(322\) 5.44475 2.24374i 0.303424 0.125039i
\(323\) −6.11859 6.11859i −0.340447 0.340447i
\(324\) −9.70936 4.43411i −0.539409 0.246340i
\(325\) 0.803553 34.1727i 0.0445731 1.89556i
\(326\) 8.04952 + 9.28964i 0.445822 + 0.514506i
\(327\) 6.56562 + 1.42826i 0.363080 + 0.0789832i
\(328\) 2.77533 0.198495i 0.153242 0.0109601i
\(329\) −1.43179 + 9.95835i −0.0789374 + 0.549022i
\(330\) −0.351031 14.6572i −0.0193236 0.806851i
\(331\) 17.3472 + 11.1484i 0.953487 + 0.612769i 0.922188 0.386741i \(-0.126399\pi\)
0.0312988 + 0.999510i \(0.490036\pi\)
\(332\) −7.24894 + 9.68345i −0.397837 + 0.531448i
\(333\) −4.65033 1.73448i −0.254836 0.0950490i
\(334\) 22.9806 10.4949i 1.25744 0.574254i
\(335\) −16.1095 + 12.6725i −0.880159 + 0.692371i
\(336\) 1.28404 1.99800i 0.0700499 0.109000i
\(337\) −5.82375 3.18001i −0.317240 0.173226i 0.312738 0.949840i \(-0.398754\pi\)
−0.629977 + 0.776614i \(0.716936\pi\)
\(338\) 27.0077 20.2177i 1.46903 1.09970i
\(339\) 9.88961 11.4132i 0.537130 0.619881i
\(340\) 3.08376 5.98380i 0.167241 0.324517i
\(341\) −15.8297 + 13.7165i −0.857227 + 0.742791i
\(342\) −1.02074 1.86935i −0.0551953 0.101083i
\(343\) −5.36062 14.3724i −0.289446 0.776035i
\(344\) 8.43271 0.454661
\(345\) 20.3256 4.13358i 1.09429 0.222544i
\(346\) −15.2328 −0.818922
\(347\) −3.47467 9.31595i −0.186530 0.500106i 0.809701 0.586842i \(-0.199629\pi\)
−0.996231 + 0.0867358i \(0.972356\pi\)
\(348\) 4.90469 + 8.98227i 0.262919 + 0.481500i
\(349\) 5.68455 4.92569i 0.304287 0.263666i −0.489310 0.872110i \(-0.662751\pi\)
0.793597 + 0.608444i \(0.208206\pi\)
\(350\) −6.13261 + 0.293914i −0.327802 + 0.0157103i
\(351\) −19.5608 + 22.5744i −1.04408 + 1.20493i
\(352\) 2.71381 2.03153i 0.144646 0.108281i
\(353\) 21.3708 + 11.6693i 1.13745 + 0.621097i 0.933746 0.357935i \(-0.116519\pi\)
0.203707 + 0.979032i \(0.434701\pi\)
\(354\) 8.10076 12.6050i 0.430551 0.669950i
\(355\) −1.11686 + 9.35258i −0.0592769 + 0.496383i
\(356\) −10.2112 + 4.66329i −0.541192 + 0.247154i
\(357\) −6.69919 2.49867i −0.354559 0.132244i
\(358\) 9.38946 12.5429i 0.496248 0.662910i
\(359\) 13.4835 + 8.66533i 0.711633 + 0.457339i 0.845717 0.533631i \(-0.179173\pi\)
−0.134084 + 0.990970i \(0.542809\pi\)
\(360\) 1.14326 1.19936i 0.0602549 0.0632118i
\(361\) 1.52826 10.6292i 0.0804345 0.559434i
\(362\) 3.46413 0.247759i 0.182070 0.0130219i
\(363\) −0.929615 0.202225i −0.0487921 0.0106141i
\(364\) −5.49734 6.34426i −0.288139 0.332530i
\(365\) 0.406906 + 1.67623i 0.0212985 + 0.0877379i
\(366\) 4.39813 + 2.00856i 0.229894 + 0.104989i
\(367\) 13.8234 + 13.8234i 0.721574 + 0.721574i 0.968926 0.247352i \(-0.0795604\pi\)
−0.247352 + 0.968926i \(0.579560\pi\)
\(368\) 3.50411 + 3.27432i 0.182665 + 0.170686i
\(369\) 2.06181i 0.107333i
\(370\) −9.53407 + 11.5505i −0.495653 + 0.600481i
\(371\) 12.3905 + 3.63818i 0.643283 + 0.188885i
\(372\) −11.9203 0.852555i −0.618038 0.0442029i
\(373\) −6.23412 + 28.6578i −0.322791 + 1.48384i 0.474504 + 0.880254i \(0.342628\pi\)
−0.797294 + 0.603591i \(0.793736\pi\)
\(374\) −7.71278 6.68317i −0.398819 0.345578i
\(375\) −21.4059 3.06821i −1.10540 0.158442i
\(376\) −7.86138 + 2.30831i −0.405420 + 0.119042i
\(377\) 35.3464 7.68914i 1.82043 0.396011i
\(378\) 4.29503 + 3.21522i 0.220912 + 0.165373i
\(379\) 1.51456 + 3.31643i 0.0777979 + 0.170354i 0.944534 0.328413i \(-0.106514\pi\)
−0.866736 + 0.498767i \(0.833786\pi\)
\(380\) −6.33793 + 1.06672i −0.325129 + 0.0547216i
\(381\) 1.67315 + 11.6370i 0.0857179 + 0.596181i
\(382\) 1.10778 + 5.09238i 0.0566789 + 0.260549i
\(383\) 12.2644 22.4606i 0.626682 1.14768i −0.350758 0.936466i \(-0.614076\pi\)
0.977440 0.211216i \(-0.0677422\pi\)
\(384\) 1.91448 + 0.275261i 0.0976980 + 0.0140469i
\(385\) −1.76022 + 9.14000i −0.0897089 + 0.465817i
\(386\) −8.59273 + 5.52221i −0.437358 + 0.281073i
\(387\) 0.445780 6.23282i 0.0226603 0.316832i
\(388\) 5.65233 3.08641i 0.286954 0.156689i
\(389\) −8.13773 + 17.8191i −0.412599 + 0.903466i 0.583237 + 0.812302i \(0.301786\pi\)
−0.995836 + 0.0911640i \(0.970941\pi\)
\(390\) −14.7873 25.6038i −0.748783 1.29650i
\(391\) 7.38968 12.4034i 0.373712 0.627265i
\(392\) 3.88356 3.88356i 0.196150 0.196150i
\(393\) 4.37559 1.63201i 0.220719 0.0823241i
\(394\) −3.59878 + 12.2563i −0.181304 + 0.617464i
\(395\) 3.78729 + 7.79360i 0.190559 + 0.392139i
\(396\) −1.35809 2.11324i −0.0682468 0.106194i
\(397\) 0.726566 + 10.1587i 0.0364653 + 0.509851i 0.982558 + 0.185956i \(0.0595381\pi\)
−0.946093 + 0.323896i \(0.895007\pi\)
\(398\) 7.86811 + 10.5106i 0.394393 + 0.526847i
\(399\) 1.92324 + 6.54995i 0.0962824 + 0.327908i
\(400\) −2.29242 4.44351i −0.114621 0.222176i
\(401\) 4.96565 0.713952i 0.247973 0.0356531i −0.0172077 0.999852i \(-0.505478\pi\)
0.265180 + 0.964199i \(0.414569\pi\)
\(402\) −6.19574 + 16.6114i −0.309015 + 0.828502i
\(403\) −14.7616 + 39.5773i −0.735325 + 1.97148i
\(404\) 9.36192 1.34604i 0.465773 0.0669681i
\(405\) 16.0574 + 17.6586i 0.797898 + 0.877462i
\(406\) −1.83049 6.23406i −0.0908455 0.309391i
\(407\) 13.6071 + 18.1769i 0.674478 + 0.900997i
\(408\) −0.415394 5.80797i −0.0205651 0.287538i
\(409\) −15.0034 23.3458i −0.741872 1.15437i −0.982951 0.183869i \(-0.941138\pi\)
0.241079 0.970505i \(-0.422499\pi\)
\(410\) −5.87978 2.03406i −0.290382 0.100455i
\(411\) 8.87593 30.2286i 0.437817 1.49107i
\(412\) −2.16597 + 0.807867i −0.106710 + 0.0398007i
\(413\) −6.72638 + 6.72638i −0.330983 + 0.330983i
\(414\) 2.60537 2.41689i 0.128047 0.118783i
\(415\) 23.4221 13.5273i 1.14975 0.664028i
\(416\) 2.83996 6.21864i 0.139240 0.304894i
\(417\) −4.01327 + 2.19141i −0.196531 + 0.107314i
\(418\) −0.695107 + 9.71886i −0.0339988 + 0.475365i
\(419\) 9.79338 6.29382i 0.478438 0.307473i −0.279103 0.960261i \(-0.590037\pi\)
0.757541 + 0.652788i \(0.226401\pi\)
\(420\) −4.39764 + 2.97733i −0.214583 + 0.145279i
\(421\) −15.7117 2.25899i −0.765739 0.110097i −0.251632 0.967823i \(-0.580967\pi\)
−0.514107 + 0.857726i \(0.671876\pi\)
\(422\) 5.71938 10.4743i 0.278415 0.509880i
\(423\) 1.29055 + 5.93256i 0.0627487 + 0.288451i
\(424\) 1.49666 + 10.4095i 0.0726843 + 0.505530i
\(425\) −11.6045 + 9.58713i −0.562900 + 0.465044i
\(426\) 3.38453 + 7.41108i 0.163981 + 0.359068i
\(427\) −2.45734 1.83954i −0.118919 0.0890216i
\(428\) −0.936201 + 0.203658i −0.0452530 + 0.00984418i
\(429\) −43.0092 + 12.6286i −2.07650 + 0.609717i
\(430\) −17.3347 7.42020i −0.835956 0.357834i
\(431\) −11.3614 9.84467i −0.547257 0.474201i 0.336802 0.941575i \(-0.390655\pi\)
−0.884060 + 0.467374i \(0.845200\pi\)
\(432\) −0.928754 + 4.26941i −0.0446847 + 0.205412i
\(433\) 1.95499 + 0.139823i 0.0939507 + 0.00671949i 0.118235 0.992986i \(-0.462276\pi\)
−0.0242847 + 0.999705i \(0.507731\pi\)
\(434\) 7.27973 + 2.13752i 0.349438 + 0.102604i
\(435\) −2.17858 22.7802i −0.104455 1.09223i
\(436\) 3.47393i 0.166371i
\(437\) −13.7082 + 1.44866i −0.655752 + 0.0692987i
\(438\) 1.05502 + 1.05502i 0.0504109 + 0.0504109i
\(439\) −20.0871 9.17346i −0.958704 0.437825i −0.126298 0.991992i \(-0.540310\pi\)
−0.832406 + 0.554167i \(0.813037\pi\)
\(440\) −7.36626 + 1.78817i −0.351173 + 0.0852475i
\(441\) −2.66514 3.07574i −0.126911 0.146464i
\(442\) −20.1107 4.37482i −0.956569 0.208089i
\(443\) −12.2046 + 0.872890i −0.579858 + 0.0414722i −0.358188 0.933650i \(-0.616605\pi\)
−0.221670 + 0.975122i \(0.571151\pi\)
\(444\) −1.84368 + 12.8231i −0.0874973 + 0.608557i
\(445\) 25.0941 0.600989i 1.18957 0.0284896i
\(446\) −21.7254 13.9621i −1.02873 0.661123i
\(447\) −19.7599 + 26.3961i −0.934611 + 1.24849i
\(448\) −1.15051 0.429118i −0.0543564 0.0202739i
\(449\) 29.4535 13.4510i 1.39000 0.634790i 0.426987 0.904258i \(-0.359575\pi\)
0.963009 + 0.269468i \(0.0868479\pi\)
\(450\) −3.40549 + 1.45949i −0.160537 + 0.0688008i
\(451\) −5.09948 + 7.93495i −0.240125 + 0.373642i
\(452\) −6.85285 3.74194i −0.322331 0.176006i
\(453\) −16.5038 + 12.3546i −0.775417 + 0.580470i
\(454\) −12.3790 + 14.2862i −0.580977 + 0.670483i
\(455\) 5.71812 + 17.8789i 0.268070 + 0.838176i
\(456\) −4.20146 + 3.64059i −0.196752 + 0.170486i
\(457\) −9.18193 16.8155i −0.429513 0.786594i 0.569870 0.821735i \(-0.306994\pi\)
−0.999382 + 0.0351413i \(0.988812\pi\)
\(458\) −5.63130 15.0981i −0.263133 0.705488i
\(459\) 13.1537 0.613960
\(460\) −4.32208 9.81426i −0.201518 0.457592i
\(461\) 3.60200 0.167762 0.0838809 0.996476i \(-0.473268\pi\)
0.0838809 + 0.996476i \(0.473268\pi\)
\(462\) 2.81362 + 7.54362i 0.130902 + 0.350961i
\(463\) −17.7726 32.5481i −0.825963 1.51264i −0.858293 0.513160i \(-0.828475\pi\)
0.0323300 0.999477i \(-0.489707\pi\)
\(464\) 3.99884 3.46501i 0.185641 0.160859i
\(465\) 23.7538 + 12.2416i 1.10156 + 0.567690i
\(466\) 13.8357 15.9672i 0.640926 0.739668i
\(467\) 13.0073 9.73712i 0.601905 0.450580i −0.254366 0.967108i \(-0.581867\pi\)
0.856270 + 0.516528i \(0.172776\pi\)
\(468\) −4.44622 2.42782i −0.205527 0.112226i
\(469\) 6.08525 9.46883i 0.280991 0.437230i
\(470\) 18.1914 + 2.17238i 0.839109 + 0.100204i
\(471\) 34.7884 15.8873i 1.60296 0.732049i
\(472\) −7.25837 2.70723i −0.334093 0.124610i
\(473\) −17.1313 + 22.8847i −0.787698 + 1.05224i
\(474\) 6.30536 + 4.05221i 0.289615 + 0.186124i
\(475\) 13.9672 + 3.38413i 0.640861 + 0.155275i
\(476\) −0.526092 + 3.65905i −0.0241134 + 0.167712i
\(477\) 7.77304 0.555939i 0.355903 0.0254547i
\(478\) −11.7988 2.56668i −0.539667 0.117397i
\(479\) 7.69236 + 8.87745i 0.351473 + 0.405621i 0.903765 0.428030i \(-0.140792\pi\)
−0.552292 + 0.833651i \(0.686247\pi\)
\(480\) −3.69331 2.25045i −0.168576 0.102719i
\(481\) 41.6521 + 19.0219i 1.89917 + 0.867323i
\(482\) 8.44570 + 8.44570i 0.384691 + 0.384691i
\(483\) −9.80627 + 5.79432i −0.446201 + 0.263651i
\(484\) 0.491868i 0.0223576i
\(485\) −14.3351 + 1.37093i −0.650922 + 0.0622507i
\(486\) 7.23210 + 2.12353i 0.328055 + 0.0963255i
\(487\) 16.2893 + 1.16504i 0.738141 + 0.0527929i 0.435346 0.900263i \(-0.356626\pi\)
0.302794 + 0.953056i \(0.402080\pi\)
\(488\) 0.531374 2.44269i 0.0240542 0.110575i
\(489\) −17.9677 15.5691i −0.812530 0.704061i
\(490\) −11.4005 + 4.56600i −0.515024 + 0.206271i
\(491\) 37.4107 10.9848i 1.68832 0.495736i 0.710241 0.703959i \(-0.248586\pi\)
0.978081 + 0.208223i \(0.0667679\pi\)
\(492\) −5.25868 + 1.14396i −0.237079 + 0.0515735i
\(493\) −12.7520 9.54601i −0.574320 0.429931i
\(494\) 8.16282 + 17.8741i 0.367262 + 0.804193i
\(495\) 0.932273 + 5.53911i 0.0419026 + 0.248965i
\(496\) 0.879326 + 6.11585i 0.0394829 + 0.274610i
\(497\) −1.09948 5.05422i −0.0493184 0.226713i
\(498\) 11.2125 20.5342i 0.502444 0.920157i
\(499\) −17.6253 2.53413i −0.789016 0.113443i −0.263985 0.964527i \(-0.585037\pi\)
−0.525031 + 0.851083i \(0.675946\pi\)
\(500\) 0.802444 + 11.1515i 0.0358864 + 0.498711i
\(501\) −41.1071 + 26.4179i −1.83653 + 1.18027i
\(502\) 0.0721210 1.00838i 0.00321892 0.0450063i
\(503\) −6.23170 + 3.40276i −0.277858 + 0.151722i −0.612136 0.790753i \(-0.709689\pi\)
0.334278 + 0.942475i \(0.391508\pi\)
\(504\) −0.377991 + 0.827685i −0.0168371 + 0.0368680i
\(505\) −20.4293 5.47085i −0.909093 0.243449i
\(506\) −16.0046 + 2.85761i −0.711491 + 0.127036i
\(507\) −46.1407 + 46.1407i −2.04918 + 2.04918i
\(508\) 5.69516 2.12418i 0.252682 0.0942454i
\(509\) −3.19265 + 10.8732i −0.141512 + 0.481944i −0.999496 0.0317306i \(-0.989898\pi\)
0.857985 + 0.513675i \(0.171716\pi\)
\(510\) −4.25671 + 12.3047i −0.188490 + 0.544862i
\(511\) −0.512111 0.796861i −0.0226545 0.0352511i
\(512\) −0.0713392 0.997452i −0.00315278 0.0440816i
\(513\) −7.52601 10.0536i −0.332281 0.443876i
\(514\) −2.58842 8.81535i −0.114170 0.388829i
\(515\) 5.16337 + 0.245212i 0.227525 + 0.0108053i
\(516\) −16.1443 + 2.32120i −0.710712 + 0.102185i
\(517\) 9.70632 26.0237i 0.426884 1.14452i
\(518\) 2.87420 7.70604i 0.126285 0.338584i
\(519\) 29.1630 4.19301i 1.28011 0.184053i
\(520\) −11.3100 + 10.2844i −0.495974 + 0.451002i
\(521\) 2.48744 + 8.47144i 0.108977 + 0.371141i 0.995865 0.0908429i \(-0.0289561\pi\)
−0.886889 + 0.461984i \(0.847138\pi\)
\(522\) −2.34968 3.13881i −0.102843 0.137382i
\(523\) −1.69841 23.7469i −0.0742664 1.03838i −0.888809 0.458277i \(-0.848467\pi\)
0.814543 0.580103i \(-0.196988\pi\)
\(524\) −1.30537 2.03120i −0.0570255 0.0887334i
\(525\) 11.6599 2.25076i 0.508879 0.0982313i
\(526\) −2.02369 + 6.89206i −0.0882372 + 0.300508i
\(527\) 17.4283 6.50040i 0.759187 0.283162i
\(528\) −4.63634 + 4.63634i −0.201771 + 0.201771i
\(529\) −7.95951 21.5788i −0.346066 0.938210i
\(530\) 6.08303 22.7153i 0.264230 0.986691i
\(531\) −2.38468 + 5.22172i −0.103486 + 0.226604i
\(532\) 3.09769 1.69146i 0.134302 0.0733343i
\(533\) −1.35700 + 18.9733i −0.0587782 + 0.821827i
\(534\) 18.2655 11.7385i 0.790426 0.507976i
\(535\) 2.10371 + 0.405141i 0.0909514 + 0.0175158i
\(536\) 9.07304 + 1.30451i 0.391896 + 0.0563461i
\(537\) −14.5234 + 26.5976i −0.626731 + 1.14777i
\(538\) −1.60488 7.37753i −0.0691915 0.318068i
\(539\) 2.64966 + 18.4288i 0.114129 + 0.793786i
\(540\) 5.66599 7.95921i 0.243825 0.342510i
\(541\) −10.9010 23.8698i −0.468669 1.02624i −0.985425 0.170109i \(-0.945588\pi\)
0.516756 0.856133i \(-0.327139\pi\)
\(542\) −17.0164 12.7383i −0.730915 0.547156i
\(543\) −6.56381 + 1.42787i −0.281680 + 0.0612757i
\(544\) −2.88855 + 0.848154i −0.123846 + 0.0363643i
\(545\) −3.05682 + 7.14121i −0.130940 + 0.305896i
\(546\) 12.2709 + 10.6328i 0.525145 + 0.455041i
\(547\) −2.50695 + 11.5243i −0.107190 + 0.492743i 0.891983 + 0.452069i \(0.149314\pi\)
−0.999172 + 0.0406736i \(0.987050\pi\)
\(548\) −16.2470 1.16201i −0.694039 0.0496387i
\(549\) −1.77736 0.521880i −0.0758558 0.0222733i
\(550\) 16.7160 + 2.80595i 0.712771 + 0.119646i
\(551\) 15.2084i 0.647900i
\(552\) −7.60986 5.30409i −0.323897 0.225757i
\(553\) −3.36470 3.36470i −0.143082 0.143082i
\(554\) −23.7061 10.8262i −1.00717 0.459961i
\(555\) 15.0734 24.7376i 0.639831 1.05005i
\(556\) 1.54817 + 1.78668i 0.0656569 + 0.0757721i
\(557\) −30.4859 6.63181i −1.29173 0.280999i −0.486353 0.873762i \(-0.661673\pi\)
−0.805376 + 0.592764i \(0.798037\pi\)
\(558\) 4.56686 0.326628i 0.193330 0.0138273i
\(559\) −8.20440 + 57.0629i −0.347009 + 2.41350i
\(560\) 1.98746 + 1.89449i 0.0839854 + 0.0800566i
\(561\) 16.6056 + 10.6718i 0.701089 + 0.450563i
\(562\) 15.5875 20.8225i 0.657520 0.878344i
\(563\) −15.2676 5.69451i −0.643451 0.239995i 0.00649040 0.999979i \(-0.497934\pi\)
−0.649942 + 0.759984i \(0.725207\pi\)
\(564\) 14.4151 6.58315i 0.606985 0.277201i
\(565\) 10.7945 + 13.7222i 0.454126 + 0.577296i
\(566\) −14.9884 + 23.3224i −0.630010 + 0.980314i
\(567\) −11.5036 6.28144i −0.483106 0.263796i
\(568\) 3.37213 2.52435i 0.141492 0.105919i
\(569\) −11.4435 + 13.2065i −0.479736 + 0.553645i −0.943094 0.332526i \(-0.892099\pi\)
0.463358 + 0.886171i \(0.346644\pi\)
\(570\) 11.8402 3.78680i 0.495933 0.158612i
\(571\) 17.9309 15.5372i 0.750384 0.650211i −0.193270 0.981146i \(-0.561909\pi\)
0.943654 + 0.330935i \(0.107364\pi\)
\(572\) 11.1067 + 20.3405i 0.464396 + 0.850477i
\(573\) −3.52256 9.44435i −0.147157 0.394543i
\(574\) 3.41661 0.142607
\(575\) 0.248836 + 23.9779i 0.0103772 + 0.999946i
\(576\) −0.741013 −0.0308755
\(577\) 4.34235 + 11.6423i 0.180774 + 0.484674i 0.995455 0.0952356i \(-0.0303604\pi\)
−0.814681 + 0.579910i \(0.803088\pi\)
\(578\) −3.80376 6.96607i −0.158216 0.289750i
\(579\) 14.9306 12.9374i 0.620494 0.537661i
\(580\) −11.2692 + 3.60417i −0.467928 + 0.149655i
\(581\) −9.72678 + 11.2253i −0.403535 + 0.465704i
\(582\) −9.97173 + 7.46474i −0.413341 + 0.309423i
\(583\) −31.2899 17.0856i −1.29590 0.707613i
\(584\) 0.417053 0.648947i 0.0172578 0.0268536i
\(585\) 7.00359 + 8.90313i 0.289563 + 0.368099i
\(586\) 25.7028 11.7381i 1.06177 0.484896i
\(587\) 5.19098 + 1.93614i 0.214255 + 0.0799129i 0.454300 0.890849i \(-0.349890\pi\)
−0.240045 + 0.970762i \(0.577162\pi\)
\(588\) −6.36602 + 8.50401i −0.262530 + 0.350699i
\(589\) −14.9401 9.60145i −0.615598 0.395621i
\(590\) 12.5385 + 11.9520i 0.516203 + 0.492056i
\(591\) 3.51611 24.4551i 0.144634 1.00595i
\(592\) 6.68088 0.477826i 0.274582 0.0196385i
\(593\) −29.8849 6.50107i −1.22723 0.266967i −0.448186 0.893940i \(-0.647930\pi\)
−0.779041 + 0.626973i \(0.784294\pi\)
\(594\) −9.69957 11.1939i −0.397978 0.459291i
\(595\) 4.30118 7.05882i 0.176331 0.289384i
\(596\) 15.5070 + 7.08181i 0.635191 + 0.290082i
\(597\) −17.9565 17.9565i −0.734911 0.734911i
\(598\) −25.5661 + 20.5261i −1.04548 + 0.839376i
\(599\) 7.13312i 0.291451i −0.989325 0.145726i \(-0.953448\pi\)
0.989325 0.145726i \(-0.0465517\pi\)
\(600\) 5.61193 + 7.87601i 0.229106 + 0.321537i
\(601\) 17.7450 + 5.21042i 0.723836 + 0.212537i 0.622840 0.782350i \(-0.285979\pi\)
0.100996 + 0.994887i \(0.467797\pi\)
\(602\) 10.3284 + 0.738701i 0.420954 + 0.0301072i
\(603\) 1.44382 6.63715i 0.0587970 0.270286i
\(604\) 8.05535 + 6.98000i 0.327767 + 0.284012i
\(605\) 0.432810 1.01111i 0.0175962 0.0411075i
\(606\) −17.5527 + 5.15395i −0.713031 + 0.209365i
\(607\) −37.7509 + 8.21220i −1.53226 + 0.333323i −0.898069 0.439854i \(-0.855030\pi\)
−0.634191 + 0.773177i \(0.718667\pi\)
\(608\) 2.30097 + 1.72249i 0.0933168 + 0.0698561i
\(609\) 5.22043 + 11.4311i 0.211542 + 0.463213i
\(610\) −3.24172 + 4.55375i −0.131253 + 0.184376i
\(611\) −7.97144 55.4426i −0.322490 2.24297i
\(612\) 0.474194 + 2.17983i 0.0191682 + 0.0881146i
\(613\) 16.6308 30.4571i 0.671713 1.23015i −0.290245 0.956953i \(-0.593737\pi\)
0.961958 0.273198i \(-0.0880815\pi\)
\(614\) 20.2622 + 2.91327i 0.817717 + 0.117570i
\(615\) 11.8166 + 2.27569i 0.476493 + 0.0917648i
\(616\) 3.50184 2.25049i 0.141093 0.0906750i
\(617\) −2.48141 + 34.6946i −0.0998978 + 1.39675i 0.662217 + 0.749312i \(0.269616\pi\)
−0.762115 + 0.647442i \(0.775839\pi\)
\(618\) 3.92435 2.14286i 0.157860 0.0861983i
\(619\) 7.95624 17.4217i 0.319788 0.700238i −0.679658 0.733530i \(-0.737872\pi\)
0.999446 + 0.0332912i \(0.0105989\pi\)
\(620\) 3.57393 13.3458i 0.143532 0.535981i
\(621\) 13.1777 16.2920i 0.528803 0.653775i
\(622\) 10.1859 10.1859i 0.408416 0.408416i
\(623\) −12.9152 + 4.81711i −0.517436 + 0.192994i
\(624\) −3.72530 + 12.6872i −0.149131 + 0.507895i
\(625\) 8.16300 23.6298i 0.326520 0.945190i
\(626\) 13.3598 + 20.7882i 0.533964 + 0.830864i
\(627\) −1.34445 18.7979i −0.0536923 0.750717i
\(628\) −11.8495 15.8291i −0.472848 0.631652i
\(629\) −5.68089 19.3473i −0.226512 0.771429i
\(630\) 1.50532 1.36883i 0.0599736 0.0545355i
\(631\) −28.4882 + 4.09599i −1.13410 + 0.163059i −0.683696 0.729767i \(-0.739629\pi\)
−0.450403 + 0.892825i \(0.648720\pi\)
\(632\) 1.35423 3.63082i 0.0538682 0.144426i
\(633\) −8.06650 + 21.6271i −0.320615 + 0.859601i
\(634\) 14.7575 2.12180i 0.586094 0.0842676i
\(635\) −13.5764 0.644753i −0.538764 0.0255862i
\(636\) −5.73066 19.5169i −0.227236 0.773893i
\(637\) 22.5011 + 30.0579i 0.891525 + 1.19094i
\(638\) 1.27961 + 17.8913i 0.0506604 + 0.708325i
\(639\) −1.68755 2.62587i −0.0667583 0.103878i
\(640\) −0.731040 + 2.11319i −0.0288969 + 0.0835312i
\(641\) 7.58857 25.8443i 0.299731 1.02079i −0.662615 0.748960i \(-0.730554\pi\)
0.962346 0.271828i \(-0.0876283\pi\)
\(642\) 1.73628 0.647599i 0.0685255 0.0255587i
\(643\) 8.89632 8.89632i 0.350837 0.350837i −0.509584 0.860421i \(-0.670201\pi\)
0.860421 + 0.509584i \(0.170201\pi\)
\(644\) 4.00501 + 4.31735i 0.157820 + 0.170128i
\(645\) 35.2296 + 9.43426i 1.38716 + 0.371474i
\(646\) 3.59458 7.87103i 0.141427 0.309682i
\(647\) 18.8933 10.3165i 0.742774 0.405585i −0.0628418 0.998024i \(-0.520016\pi\)
0.805616 + 0.592438i \(0.201835\pi\)
\(648\) 0.761470 10.6467i 0.0299134 0.418244i
\(649\) 22.0925 14.1980i 0.867206 0.557320i
\(650\) 32.2989 11.1893i 1.26687 0.438879i
\(651\) −14.5253 2.08842i −0.569291 0.0818517i
\(652\) −5.89091 + 10.7884i −0.230706 + 0.422506i
\(653\) 1.37409 + 6.31659i 0.0537723 + 0.247187i 0.996185 0.0872645i \(-0.0278125\pi\)
−0.942413 + 0.334452i \(0.891449\pi\)
\(654\) 0.956239 + 6.65079i 0.0373919 + 0.260066i
\(655\) 0.896082 + 5.32409i 0.0350128 + 0.208029i
\(656\) 1.15586 + 2.53097i 0.0451287 + 0.0988180i
\(657\) −0.457606 0.342559i −0.0178529 0.0133645i
\(658\) −9.83083 + 2.13857i −0.383246 + 0.0833700i
\(659\) −11.2516 + 3.30376i −0.438298 + 0.128696i −0.493435 0.869783i \(-0.664259\pi\)
0.0551364 + 0.998479i \(0.482441\pi\)
\(660\) 13.6104 5.45106i 0.529783 0.212182i
\(661\) −18.8706 16.3515i −0.733982 0.635999i 0.205476 0.978662i \(-0.434126\pi\)
−0.939458 + 0.342663i \(0.888671\pi\)
\(662\) −4.38323 + 20.1494i −0.170359 + 0.783128i
\(663\) 39.7058 + 2.83982i 1.54205 + 0.110289i
\(664\) −11.6062 3.40787i −0.450406 0.132251i
\(665\) −7.85615 + 0.751320i −0.304648 + 0.0291349i
\(666\) 4.96326i 0.192322i
\(667\) −24.5989 + 6.23103i −0.952473 + 0.241266i
\(668\) 17.8641 + 17.8641i 0.691181 + 0.691181i
\(669\) 45.4361 + 20.7500i 1.75666 + 0.802240i
\(670\) −17.5032 10.6653i −0.676207 0.412035i
\(671\) 5.54948 + 6.40444i 0.214235 + 0.247241i
\(672\) 2.32075 + 0.504848i 0.0895248 + 0.0194749i
\(673\) 47.8409 3.42165i 1.84413 0.131895i 0.894859 0.446350i \(-0.147276\pi\)
0.949272 + 0.314455i \(0.101822\pi\)
\(674\) 0.944315 6.56786i 0.0363737 0.252984i
\(675\) −18.6509 + 11.3757i −0.717872 + 0.437851i
\(676\) 28.3812 + 18.2395i 1.09159 + 0.701520i
\(677\) 15.1819 20.2806i 0.583487 0.779448i −0.407528 0.913193i \(-0.633609\pi\)
0.991016 + 0.133745i \(0.0427002\pi\)
\(678\) 14.1497 + 5.27756i 0.543415 + 0.202683i
\(679\) 7.19335 3.28509i 0.276056 0.126070i
\(680\) 6.68418 + 0.798209i 0.256327 + 0.0306099i
\(681\) 19.7670 30.7581i 0.757474 1.17865i
\(682\) −18.3836 10.0382i −0.703945 0.384383i
\(683\) 23.4042 17.5202i 0.895538 0.670392i −0.0489979 0.998799i \(-0.515603\pi\)
0.944536 + 0.328407i \(0.106512\pi\)
\(684\) 1.39477 1.60965i 0.0533304 0.0615465i
\(685\) 32.3758 + 16.6850i 1.23702 + 0.637500i
\(686\) 11.5928 10.0453i 0.442617 0.383530i
\(687\) 14.9369 + 27.3550i 0.569880 + 1.04366i
\(688\) 2.94693 + 7.90102i 0.112351 + 0.301224i
\(689\) −71.8957 −2.73901
\(690\) 10.9760 + 17.5995i 0.417850 + 0.670003i
\(691\) 24.3592 0.926668 0.463334 0.886184i \(-0.346653\pi\)
0.463334 + 0.886184i \(0.346653\pi\)
\(692\) −5.32333 14.2724i −0.202363 0.542555i
\(693\) −1.47828 2.70726i −0.0561551 0.102840i
\(694\) 7.51430 6.51118i 0.285239 0.247161i
\(695\) −1.61034 5.03508i −0.0610838 0.190991i
\(696\) −6.70192 + 7.73443i −0.254036 + 0.293173i
\(697\) 6.70569 5.01982i 0.253996 0.190139i
\(698\) 6.60167 + 3.60479i 0.249877 + 0.136443i
\(699\) −22.0930 + 34.3774i −0.835635 + 1.30027i
\(700\) −2.41851 5.64324i −0.0914111 0.213294i
\(701\) −25.1061 + 11.4656i −0.948244 + 0.433049i −0.828646 0.559774i \(-0.810888\pi\)
−0.119599 + 0.992822i \(0.538161\pi\)
\(702\) −27.9869 10.4386i −1.05630 0.393978i
\(703\) −11.5371 + 15.4118i −0.435131 + 0.581267i
\(704\) 2.85182 + 1.83275i 0.107482 + 0.0690745i
\(705\) −35.4252 + 0.848413i −1.33419 + 0.0319531i
\(706\) −3.46526 + 24.1014i −0.130417 + 0.907068i
\(707\) 11.5844 0.828533i 0.435677 0.0311602i
\(708\) 14.6412 + 3.18500i 0.550250 + 0.119700i
\(709\) 25.9265 + 29.9208i 0.973691 + 1.12370i 0.992298 + 0.123872i \(0.0395313\pi\)
−0.0186073 + 0.999827i \(0.505923\pi\)
\(710\) −9.15320 + 2.22195i −0.343513 + 0.0833882i
\(711\) −2.61204 1.19288i −0.0979591 0.0447364i
\(712\) −7.93771 7.93771i −0.297478 0.297478i
\(713\) 9.40877 28.0988i 0.352361 1.05231i
\(714\) 7.15000i 0.267582i
\(715\) −4.93342 51.5861i −0.184500 1.92921i
\(716\) 15.0333 + 4.41418i 0.561821 + 0.164965i
\(717\) 23.2952 + 1.66610i 0.869975 + 0.0622218i
\(718\) −3.40697 + 15.6616i −0.127147 + 0.584486i
\(719\) 3.42425 + 2.96713i 0.127703 + 0.110655i 0.716371 0.697720i \(-0.245802\pi\)
−0.588668 + 0.808375i \(0.700347\pi\)
\(720\) 1.52327 + 0.652040i 0.0567688 + 0.0243001i
\(721\) −2.72366 + 0.799738i −0.101434 + 0.0297838i
\(722\) 10.4931 2.28264i 0.390514 0.0849512i
\(723\) −18.4939 13.8444i −0.687796 0.514878i
\(724\) 1.44273 + 3.15913i 0.0536185 + 0.117408i
\(725\) 26.3370 + 2.50718i 0.978133 + 0.0931143i
\(726\) −0.135392 0.941673i −0.00502487 0.0349488i
\(727\) −5.72571 26.3207i −0.212355 0.976180i −0.952690 0.303942i \(-0.901697\pi\)
0.740336 0.672238i \(-0.234667\pi\)
\(728\) 4.02313 7.36782i 0.149107 0.273070i
\(729\) 17.2656 + 2.48242i 0.639468 + 0.0919416i
\(730\) −1.42834 + 0.967033i −0.0528654 + 0.0357915i
\(731\) 21.3566 13.7250i 0.789902 0.507639i
\(732\) −0.344930 + 4.82275i −0.0127490 + 0.178254i
\(733\) −30.8456 + 16.8430i −1.13931 + 0.622110i −0.934243 0.356638i \(-0.883923\pi\)
−0.205067 + 0.978748i \(0.565741\pi\)
\(734\) −8.12103 + 17.7826i −0.299753 + 0.656367i
\(735\) 20.5693 11.8797i 0.758710 0.438188i
\(736\) −1.84331 + 4.42744i −0.0679454 + 0.163197i
\(737\) −21.9723 + 21.9723i −0.809361 + 0.809361i
\(738\) 1.93181 0.720527i 0.0711108 0.0265230i
\(739\) −8.09710 + 27.5762i −0.297857 + 1.01441i 0.665548 + 0.746355i \(0.268198\pi\)
−0.963405 + 0.268052i \(0.913620\pi\)
\(740\) −14.1540 4.89646i −0.520313 0.179998i
\(741\) −20.5476 31.9727i −0.754835 1.17455i
\(742\) 0.921245 + 12.8807i 0.0338200 + 0.472865i
\(743\) −21.8121 29.1376i −0.800210 1.06895i −0.996091 0.0883274i \(-0.971848\pi\)
0.195882 0.980627i \(-0.437243\pi\)
\(744\) −3.36691 11.4666i −0.123437 0.420387i
\(745\) −25.6455 28.2028i −0.939580 1.03327i
\(746\) −29.0295 + 4.17381i −1.06285 + 0.152814i
\(747\) −3.13238 + 8.39824i −0.114608 + 0.307276i
\(748\) 3.56645 9.56202i 0.130402 0.349622i
\(749\) −1.16450 + 0.167430i −0.0425499 + 0.00611775i
\(750\) −4.60584 21.1285i −0.168182 0.771503i
\(751\) 2.27644 + 7.75284i 0.0830685 + 0.282905i 0.990543 0.137202i \(-0.0438108\pi\)
−0.907475 + 0.420107i \(0.861993\pi\)
\(752\) −4.91004 6.55904i −0.179051 0.239184i
\(753\) 0.139494 + 1.95038i 0.00508345 + 0.0710759i
\(754\) 19.5566 + 30.4307i 0.712211 + 1.10822i
\(755\) −10.4171 21.4366i −0.379117 0.780159i
\(756\) −1.51154 + 5.14783i −0.0549741 + 0.187225i
\(757\) −22.3510 + 8.33650i −0.812362 + 0.302995i −0.721099 0.692832i \(-0.756363\pi\)
−0.0912623 + 0.995827i \(0.529090\pi\)
\(758\) −2.57805 + 2.57805i −0.0936388 + 0.0936388i
\(759\) 29.8539 9.87628i 1.08363 0.358486i
\(760\) −3.21434 5.56554i −0.116596 0.201883i
\(761\) −16.4549 + 36.0311i −0.596489 + 1.30613i 0.334952 + 0.942235i \(0.391280\pi\)
−0.931441 + 0.363893i \(0.881447\pi\)
\(762\) −10.3186 + 5.63437i −0.373802 + 0.204112i
\(763\) 0.304315 4.25488i 0.0110169 0.154037i
\(764\) −4.38418 + 2.81754i −0.158614 + 0.101935i
\(765\) 0.943324 4.89825i 0.0341059 0.177096i
\(766\) 25.3304 + 3.64196i 0.915225 + 0.131589i
\(767\) 25.3813 46.4823i 0.916465 1.67838i
\(768\) 0.411137 + 1.88997i 0.0148356 + 0.0681983i
\(769\) −2.52310 17.5486i −0.0909855 0.632818i −0.983380 0.181561i \(-0.941885\pi\)
0.892394 0.451257i \(-0.149024\pi\)
\(770\) −9.17885 + 1.54487i −0.330783 + 0.0556731i
\(771\) 7.38201 + 16.1643i 0.265857 + 0.582145i
\(772\)