Properties

Label 441.2.bn.a.353.2
Level $441$
Weight $2$
Character 441.353
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 353.2
Character \(\chi\) \(=\) 441.353
Dual form 441.2.bn.a.5.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.15589 - 1.71927i) q^{2} +(-1.44111 + 0.960829i) q^{3} +(1.24695 + 5.46324i) q^{4} +(-1.16954 + 0.797380i) q^{5} +(4.75880 + 0.406215i) q^{6} +(1.71430 + 2.01524i) q^{7} +(4.31162 - 8.95316i) q^{8} +(1.15362 - 2.76933i) q^{9} +O(q^{10})\) \(q+(-2.15589 - 1.71927i) q^{2} +(-1.44111 + 0.960829i) q^{3} +(1.24695 + 5.46324i) q^{4} +(-1.16954 + 0.797380i) q^{5} +(4.75880 + 0.406215i) q^{6} +(1.71430 + 2.01524i) q^{7} +(4.31162 - 8.95316i) q^{8} +(1.15362 - 2.76933i) q^{9} +(3.89231 + 0.291689i) q^{10} +(0.0494234 - 0.327903i) q^{11} +(-7.04623 - 6.67505i) q^{12} +(-0.0685054 + 0.454504i) q^{13} +(-0.231119 - 7.29196i) q^{14} +(0.919297 - 2.27285i) q^{15} +(-14.5906 + 7.02649i) q^{16} +(1.77059 + 1.64287i) q^{17} +(-7.24828 + 3.98699i) q^{18} +(4.18608 - 2.41683i) q^{19} +(-5.81464 - 5.39520i) q^{20} +(-4.40680 - 1.25704i) q^{21} +(-0.670303 + 0.621950i) q^{22} +(-2.02294 + 6.55820i) q^{23} +(2.38893 + 17.0452i) q^{24} +(-1.09469 + 2.78923i) q^{25} +(0.929102 - 0.862081i) q^{26} +(0.998355 + 5.09934i) q^{27} +(-8.87207 + 11.8785i) q^{28} +(-1.43127 + 1.54255i) q^{29} +(-5.88953 + 3.31949i) q^{30} -8.28618i q^{31} +(24.1600 + 5.51436i) q^{32} +(0.243833 + 0.520032i) q^{33} +(-0.992675 - 6.58597i) q^{34} +(-3.61186 - 0.989954i) q^{35} +(16.5680 + 2.84928i) q^{36} +(-8.11144 + 2.50205i) q^{37} +(-13.1799 - 1.98655i) q^{38} +(-0.337976 - 0.720813i) q^{39} +(2.09646 + 13.9091i) q^{40} +(-0.100337 - 1.33890i) q^{41} +(7.33940 + 10.2865i) q^{42} +(-0.468804 + 6.25575i) q^{43} +(1.85304 - 0.138866i) q^{44} +(0.859003 + 4.15872i) q^{45} +(15.6365 - 10.6608i) q^{46} +(5.40906 - 6.78275i) q^{47} +(14.2755 - 24.1451i) q^{48} +(-1.12235 + 6.90944i) q^{49} +(7.15546 - 4.13121i) q^{50} +(-4.13014 - 0.666326i) q^{51} +(-2.56848 + 0.192481i) q^{52} +(-2.76079 + 8.95026i) q^{53} +(6.61478 - 12.7101i) q^{54} +(0.203660 + 0.422905i) q^{55} +(25.4341 - 6.65949i) q^{56} +(-3.71045 + 7.50504i) q^{57} +(5.73771 - 0.864821i) q^{58} +(-8.56762 + 4.12595i) q^{59} +(13.5634 + 2.18822i) q^{60} +(10.0052 + 2.28363i) q^{61} +(-14.2461 + 17.8641i) q^{62} +(7.55849 - 2.42265i) q^{63} +(-22.4116 - 28.1032i) q^{64} +(-0.282292 - 0.586186i) q^{65} +(0.368395 - 1.54035i) q^{66} -14.6741 q^{67} +(-6.76755 + 11.7217i) q^{68} +(-3.38602 - 11.3948i) q^{69} +(6.08477 + 8.34397i) q^{70} +(-6.85811 + 1.56532i) q^{71} +(-19.8203 - 22.2688i) q^{72} +(0.873201 + 5.79331i) q^{73} +(21.7891 + 8.55158i) q^{74} +(-1.10240 - 5.07141i) q^{75} +(18.4236 + 19.8559i) q^{76} +(0.745527 - 0.462524i) q^{77} +(-0.510630 + 2.13506i) q^{78} +0.748846 q^{79} +(11.4616 - 19.8521i) q^{80} +(-6.33834 - 6.38948i) q^{81} +(-2.08562 + 3.05904i) q^{82} +(-2.02882 + 0.305796i) q^{83} +(1.37243 - 25.6428i) q^{84} +(-3.38078 - 0.509570i) q^{85} +(11.7660 - 12.6807i) q^{86} +(0.580505 - 3.59819i) q^{87} +(-2.72267 - 1.85629i) q^{88} +(-4.01175 + 10.2218i) q^{89} +(5.29802 - 10.4426i) q^{90} +(-1.03337 + 0.641101i) q^{91} +(-38.3515 - 2.87405i) q^{92} +(7.96159 + 11.9413i) q^{93} +(-23.3227 + 5.32325i) q^{94} +(-2.96866 + 6.16449i) q^{95} +(-40.1157 + 15.2668i) q^{96} +(-7.31521 - 4.22344i) q^{97} +(14.2988 - 12.9664i) q^{98} +(-0.851054 - 0.515143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.15589 1.71927i −1.52444 1.21570i −0.900986 0.433848i \(-0.857156\pi\)
−0.623459 0.781856i \(-0.714273\pi\)
\(3\) −1.44111 + 0.960829i −0.832027 + 0.554735i
\(4\) 1.24695 + 5.46324i 0.623474 + 2.73162i
\(5\) −1.16954 + 0.797380i −0.523035 + 0.356599i −0.795876 0.605460i \(-0.792989\pi\)
0.272841 + 0.962059i \(0.412037\pi\)
\(6\) 4.75880 + 0.406215i 1.94277 + 0.165837i
\(7\) 1.71430 + 2.01524i 0.647945 + 0.761688i
\(8\) 4.31162 8.95316i 1.52439 3.16542i
\(9\) 1.15362 2.76933i 0.384539 0.923109i
\(10\) 3.89231 + 0.291689i 1.23086 + 0.0922400i
\(11\) 0.0494234 0.327903i 0.0149017 0.0988663i −0.980144 0.198289i \(-0.936462\pi\)
0.995045 + 0.0994227i \(0.0316996\pi\)
\(12\) −7.04623 6.67505i −2.03407 1.92692i
\(13\) −0.0685054 + 0.454504i −0.0190000 + 0.126057i −0.996320 0.0857109i \(-0.972684\pi\)
0.977320 + 0.211767i \(0.0679220\pi\)
\(14\) −0.231119 7.29196i −0.0617690 1.94886i
\(15\) 0.919297 2.27285i 0.237362 0.586846i
\(16\) −14.5906 + 7.02649i −3.64766 + 1.75662i
\(17\) 1.77059 + 1.64287i 0.429432 + 0.398455i 0.865057 0.501674i \(-0.167282\pi\)
−0.435625 + 0.900128i \(0.643473\pi\)
\(18\) −7.24828 + 3.98699i −1.70844 + 0.939743i
\(19\) 4.18608 2.41683i 0.960352 0.554460i 0.0640709 0.997945i \(-0.479592\pi\)
0.896281 + 0.443486i \(0.146258\pi\)
\(20\) −5.81464 5.39520i −1.30019 1.20640i
\(21\) −4.40680 1.25704i −0.961642 0.274308i
\(22\) −0.670303 + 0.621950i −0.142909 + 0.132600i
\(23\) −2.02294 + 6.55820i −0.421811 + 1.36748i 0.456642 + 0.889651i \(0.349052\pi\)
−0.878453 + 0.477829i \(0.841424\pi\)
\(24\) 2.38893 + 17.0452i 0.487637 + 3.47935i
\(25\) −1.09469 + 2.78923i −0.218938 + 0.557846i
\(26\) 0.929102 0.862081i 0.182212 0.169068i
\(27\) 0.998355 + 5.09934i 0.192133 + 0.981369i
\(28\) −8.87207 + 11.8785i −1.67666 + 2.24483i
\(29\) −1.43127 + 1.54255i −0.265781 + 0.286443i −0.851815 0.523843i \(-0.824498\pi\)
0.586034 + 0.810286i \(0.300688\pi\)
\(30\) −5.88953 + 3.31949i −1.07528 + 0.606053i
\(31\) 8.28618i 1.48824i −0.668045 0.744121i \(-0.732869\pi\)
0.668045 0.744121i \(-0.267131\pi\)
\(32\) 24.1600 + 5.51436i 4.27093 + 0.974811i
\(33\) 0.243833 + 0.520032i 0.0424460 + 0.0905260i
\(34\) −0.992675 6.58597i −0.170242 1.12948i
\(35\) −3.61186 0.989954i −0.610515 0.167333i
\(36\) 16.5680 + 2.84928i 2.76133 + 0.474880i
\(37\) −8.11144 + 2.50205i −1.33351 + 0.411334i −0.877900 0.478844i \(-0.841056\pi\)
−0.455613 + 0.890178i \(0.650580\pi\)
\(38\) −13.1799 1.98655i −2.13806 0.322261i
\(39\) −0.337976 0.720813i −0.0541195 0.115422i
\(40\) 2.09646 + 13.9091i 0.331479 + 2.19922i
\(41\) −0.100337 1.33890i −0.0156700 0.209102i −0.999543 0.0302326i \(-0.990375\pi\)
0.983873 0.178869i \(-0.0572438\pi\)
\(42\) 7.33940 + 10.2865i 1.13249 + 1.58724i
\(43\) −0.468804 + 6.25575i −0.0714919 + 0.953993i 0.839976 + 0.542623i \(0.182569\pi\)
−0.911468 + 0.411370i \(0.865050\pi\)
\(44\) 1.85304 0.138866i 0.279356 0.0209348i
\(45\) 0.859003 + 4.15872i 0.128053 + 0.619945i
\(46\) 15.6365 10.6608i 2.30548 1.57185i
\(47\) 5.40906 6.78275i 0.788993 0.989366i −0.210937 0.977500i \(-0.567651\pi\)
0.999930 0.0118662i \(-0.00377723\pi\)
\(48\) 14.2755 24.1451i 2.06050 3.48504i
\(49\) −1.12235 + 6.90944i −0.160336 + 0.987063i
\(50\) 7.15546 4.13121i 1.01193 0.584241i
\(51\) −4.13014 0.666326i −0.578336 0.0933043i
\(52\) −2.56848 + 0.192481i −0.356185 + 0.0266924i
\(53\) −2.76079 + 8.95026i −0.379224 + 1.22941i 0.542000 + 0.840379i \(0.317667\pi\)
−0.921223 + 0.389034i \(0.872809\pi\)
\(54\) 6.61478 12.7101i 0.900157 1.72962i
\(55\) 0.203660 + 0.422905i 0.0274616 + 0.0570245i
\(56\) 25.4341 6.65949i 3.39878 0.889911i
\(57\) −3.71045 + 7.50504i −0.491461 + 0.994066i
\(58\) 5.73771 0.864821i 0.753399 0.113557i
\(59\) −8.56762 + 4.12595i −1.11541 + 0.537153i −0.898471 0.439033i \(-0.855321\pi\)
−0.216938 + 0.976185i \(0.569607\pi\)
\(60\) 13.5634 + 2.18822i 1.75103 + 0.282498i
\(61\) 10.0052 + 2.28363i 1.28104 + 0.292389i 0.808277 0.588802i \(-0.200400\pi\)
0.472761 + 0.881191i \(0.343257\pi\)
\(62\) −14.2461 + 17.8641i −1.80926 + 2.26874i
\(63\) 7.55849 2.42265i 0.952280 0.305225i
\(64\) −22.4116 28.1032i −2.80145 3.51291i
\(65\) −0.282292 0.586186i −0.0350140 0.0727074i
\(66\) 0.368395 1.54035i 0.0453463 0.189604i
\(67\) −14.6741 −1.79272 −0.896362 0.443323i \(-0.853799\pi\)
−0.896362 + 0.443323i \(0.853799\pi\)
\(68\) −6.76755 + 11.7217i −0.820687 + 1.42147i
\(69\) −3.38602 11.3948i −0.407629 1.37177i
\(70\) 6.08477 + 8.34397i 0.727269 + 0.997295i
\(71\) −6.85811 + 1.56532i −0.813907 + 0.185769i −0.609162 0.793046i \(-0.708494\pi\)
−0.204746 + 0.978815i \(0.565637\pi\)
\(72\) −19.8203 22.2688i −2.33584 2.62440i
\(73\) 0.873201 + 5.79331i 0.102200 + 0.678056i 0.979996 + 0.199019i \(0.0637757\pi\)
−0.877795 + 0.479036i \(0.840986\pi\)
\(74\) 21.7891 + 8.55158i 2.53293 + 0.994101i
\(75\) −1.10240 5.07141i −0.127294 0.585596i
\(76\) 18.4236 + 19.8559i 2.11333 + 2.27763i
\(77\) 0.745527 0.462524i 0.0849607 0.0527095i
\(78\) −0.510630 + 2.13506i −0.0578175 + 0.241748i
\(79\) 0.748846 0.0842517 0.0421259 0.999112i \(-0.486587\pi\)
0.0421259 + 0.999112i \(0.486587\pi\)
\(80\) 11.4616 19.8521i 1.28145 2.21953i
\(81\) −6.33834 6.38948i −0.704260 0.709943i
\(82\) −2.08562 + 3.05904i −0.230318 + 0.337814i
\(83\) −2.02882 + 0.305796i −0.222692 + 0.0335655i −0.259441 0.965759i \(-0.583538\pi\)
0.0367482 + 0.999325i \(0.488300\pi\)
\(84\) 1.37243 25.6428i 0.149745 2.79786i
\(85\) −3.38078 0.509570i −0.366697 0.0552706i
\(86\) 11.7660 12.6807i 1.26876 1.36740i
\(87\) 0.580505 3.59819i 0.0622367 0.385767i
\(88\) −2.72267 1.85629i −0.290238 0.197881i
\(89\) −4.01175 + 10.2218i −0.425245 + 1.08351i 0.544365 + 0.838848i \(0.316771\pi\)
−0.969610 + 0.244657i \(0.921325\pi\)
\(90\) 5.29802 10.4426i 0.558460 1.10075i
\(91\) −1.03337 + 0.641101i −0.108327 + 0.0672056i
\(92\) −38.3515 2.87405i −3.99842 0.299640i
\(93\) 7.96159 + 11.9413i 0.825579 + 1.23826i
\(94\) −23.3227 + 5.32325i −2.40555 + 0.549052i
\(95\) −2.96866 + 6.16449i −0.304578 + 0.632463i
\(96\) −40.1157 + 15.2668i −4.09429 + 1.55816i
\(97\) −7.31521 4.22344i −0.742747 0.428825i 0.0803202 0.996769i \(-0.474406\pi\)
−0.823067 + 0.567944i \(0.807739\pi\)
\(98\) 14.2988 12.9664i 1.44440 1.30980i
\(99\) −0.851054 0.515143i −0.0855341 0.0517739i
\(100\) −16.6033 2.50254i −1.66033 0.250254i
\(101\) 0.757537 + 10.1086i 0.0753778 + 1.00585i 0.898783 + 0.438393i \(0.144452\pi\)
−0.823405 + 0.567453i \(0.807929\pi\)
\(102\) 7.75854 + 8.53734i 0.768210 + 0.845322i
\(103\) 3.24831 + 4.76440i 0.320066 + 0.469450i 0.952229 0.305385i \(-0.0987851\pi\)
−0.632163 + 0.774835i \(0.717833\pi\)
\(104\) 3.77388 + 2.57298i 0.370059 + 0.252302i
\(105\) 6.15627 2.04374i 0.600790 0.199448i
\(106\) 21.3398 14.5493i 2.07271 1.41315i
\(107\) 0.497330 + 0.195188i 0.0480787 + 0.0188695i 0.389259 0.921129i \(-0.372731\pi\)
−0.341180 + 0.939998i \(0.610827\pi\)
\(108\) −26.6140 + 11.8129i −2.56094 + 1.13669i
\(109\) −4.52761 11.5362i −0.433666 1.10496i −0.966026 0.258446i \(-0.916790\pi\)
0.532359 0.846518i \(-0.321306\pi\)
\(110\) 0.288017 1.26188i 0.0274613 0.120316i
\(111\) 9.28547 11.3994i 0.881338 1.08199i
\(112\) −39.1728 17.3581i −3.70148 1.64019i
\(113\) −7.40132 2.90480i −0.696258 0.273261i −0.00929826 0.999957i \(-0.502960\pi\)
−0.686959 + 0.726696i \(0.741055\pi\)
\(114\) 20.9025 9.80078i 1.95770 0.917928i
\(115\) −2.86347 9.28314i −0.267020 0.865657i
\(116\) −10.2120 5.89591i −0.948162 0.547422i
\(117\) 1.17964 + 0.714037i 0.109058 + 0.0660127i
\(118\) 25.5645 + 5.83492i 2.35340 + 0.537148i
\(119\) −0.275443 + 6.38453i −0.0252498 + 0.585269i
\(120\) −16.3855 18.0303i −1.49578 1.64593i
\(121\) 10.4062 + 3.20989i 0.946020 + 0.291809i
\(122\) −17.6440 22.1249i −1.59741 2.00309i
\(123\) 1.43105 + 1.83311i 0.129034 + 0.165286i
\(124\) 45.2694 10.3324i 4.06531 0.927880i
\(125\) −2.51868 11.0351i −0.225278 0.987006i
\(126\) −20.4605 7.77209i −1.82276 0.692393i
\(127\) 3.31618 14.5291i 0.294263 1.28925i −0.584266 0.811562i \(-0.698617\pi\)
0.878529 0.477689i \(-0.158525\pi\)
\(128\) 49.5563i 4.38020i
\(129\) −5.33510 9.46569i −0.469730 0.833407i
\(130\) −0.399218 + 1.74909i −0.0350137 + 0.153405i
\(131\) 0.242007 3.22936i 0.0211442 0.282150i −0.976602 0.215054i \(-0.931007\pi\)
0.997746 0.0670966i \(-0.0213736\pi\)
\(132\) −2.53701 + 1.98057i −0.220819 + 0.172387i
\(133\) 12.0467 + 4.29276i 1.04458 + 0.372229i
\(134\) 31.6357 + 25.2286i 2.73291 + 2.17942i
\(135\) −5.23373 5.16783i −0.450448 0.444776i
\(136\) 22.3430 8.76898i 1.91590 0.751934i
\(137\) −3.51017 + 5.14847i −0.299894 + 0.439863i −0.946377 0.323065i \(-0.895287\pi\)
0.646483 + 0.762928i \(0.276239\pi\)
\(138\) −12.2908 + 30.3874i −1.04626 + 2.58675i
\(139\) −12.4230 + 0.930974i −1.05370 + 0.0789642i −0.590301 0.807183i \(-0.700991\pi\)
−0.463403 + 0.886148i \(0.653372\pi\)
\(140\) 0.904556 20.9669i 0.0764489 1.77202i
\(141\) −1.27801 + 14.9719i −0.107628 + 1.26086i
\(142\) 17.4765 + 8.41625i 1.46660 + 0.706276i
\(143\) 0.145647 + 0.0449262i 0.0121796 + 0.00375692i
\(144\) 2.62661 + 48.5121i 0.218884 + 4.04268i
\(145\) 0.443939 2.94534i 0.0368671 0.244597i
\(146\) 8.07771 13.9910i 0.668516 1.15790i
\(147\) −5.02135 11.0357i −0.414154 0.910207i
\(148\) −23.7838 41.1948i −1.95502 3.38619i
\(149\) −2.07032 + 0.812542i −0.169607 + 0.0665660i −0.448626 0.893720i \(-0.648086\pi\)
0.279018 + 0.960286i \(0.409991\pi\)
\(150\) −6.34245 + 12.8287i −0.517859 + 1.04746i
\(151\) −3.88306 + 3.60295i −0.315999 + 0.293204i −0.822185 0.569220i \(-0.807245\pi\)
0.506186 + 0.862424i \(0.331055\pi\)
\(152\) −3.58954 47.8991i −0.291150 3.88513i
\(153\) 6.59223 3.00811i 0.532950 0.243191i
\(154\) −2.40248 0.284609i −0.193597 0.0229344i
\(155\) 6.60723 + 9.69103i 0.530706 + 0.778402i
\(156\) 3.51654 2.74526i 0.281548 0.219797i
\(157\) 3.66918 + 7.61912i 0.292832 + 0.608072i 0.994536 0.104397i \(-0.0332912\pi\)
−0.701704 + 0.712469i \(0.747577\pi\)
\(158\) −1.61443 1.28746i −0.128437 0.102425i
\(159\) −4.62105 15.5510i −0.366473 1.23327i
\(160\) −32.6532 + 12.8154i −2.58146 + 1.01315i
\(161\) −16.6842 + 7.16603i −1.31490 + 0.564762i
\(162\) 2.67954 + 24.6723i 0.210525 + 1.93844i
\(163\) 4.65141 + 3.17128i 0.364327 + 0.248394i 0.731622 0.681711i \(-0.238764\pi\)
−0.367295 + 0.930104i \(0.619716\pi\)
\(164\) 7.18964 2.21771i 0.561416 0.173174i
\(165\) −0.699837 0.413772i −0.0544822 0.0322121i
\(166\) 4.89967 + 2.82882i 0.380288 + 0.219559i
\(167\) 16.1048 4.96767i 1.24622 0.384409i 0.399644 0.916670i \(-0.369134\pi\)
0.846580 + 0.532261i \(0.178657\pi\)
\(168\) −30.2549 + 34.0349i −2.33421 + 2.62585i
\(169\) 12.2206 + 3.76955i 0.940044 + 0.289965i
\(170\) 6.41250 + 6.91103i 0.491816 + 0.530052i
\(171\) −1.86387 14.3807i −0.142534 1.09972i
\(172\) −34.7612 + 5.23941i −2.65052 + 0.399502i
\(173\) 3.48295 + 15.2598i 0.264804 + 1.16018i 0.915970 + 0.401246i \(0.131423\pi\)
−0.651166 + 0.758935i \(0.725720\pi\)
\(174\) −7.43775 + 6.75926i −0.563854 + 0.512418i
\(175\) −7.49758 + 2.57551i −0.566764 + 0.194691i
\(176\) 1.58288 + 5.13158i 0.119314 + 0.386808i
\(177\) 8.38259 14.1780i 0.630074 1.06568i
\(178\) 26.2228 15.1398i 1.96548 1.13477i
\(179\) 10.5088 11.3258i 0.785465 0.846530i −0.205776 0.978599i \(-0.565972\pi\)
0.991240 + 0.132070i \(0.0421622\pi\)
\(180\) −21.6489 + 9.87864i −1.61362 + 0.736311i
\(181\) 9.01116 7.18616i 0.669794 0.534143i −0.228496 0.973545i \(-0.573381\pi\)
0.898291 + 0.439402i \(0.144809\pi\)
\(182\) 3.33006 + 0.394495i 0.246840 + 0.0292419i
\(183\) −16.6128 + 6.32234i −1.22806 + 0.467361i
\(184\) 49.9945 + 46.3881i 3.68564 + 3.41978i
\(185\) 7.49159 9.39416i 0.550793 0.690672i
\(186\) 3.36597 39.4323i 0.246805 2.89131i
\(187\) 0.626210 0.499386i 0.0457930 0.0365187i
\(188\) 43.8006 + 21.0933i 3.19449 + 1.53838i
\(189\) −8.56490 + 10.7537i −0.623005 + 0.782218i
\(190\) 16.9985 8.18604i 1.23320 0.593878i
\(191\) 3.51703 7.30319i 0.254483 0.528440i −0.734114 0.679027i \(-0.762402\pi\)
0.988597 + 0.150587i \(0.0481163\pi\)
\(192\) 59.3000 + 18.9663i 4.27961 + 1.36877i
\(193\) −0.674639 0.324889i −0.0485616 0.0233860i 0.409445 0.912335i \(-0.365722\pi\)
−0.458007 + 0.888949i \(0.651437\pi\)
\(194\) 8.50958 + 21.6821i 0.610952 + 1.55668i
\(195\) 0.970039 + 0.573526i 0.0694660 + 0.0410711i
\(196\) −39.1474 + 2.48405i −2.79624 + 0.177432i
\(197\) 9.13559i 0.650884i 0.945562 + 0.325442i \(0.105513\pi\)
−0.945562 + 0.325442i \(0.894487\pi\)
\(198\) 0.949110 + 2.57378i 0.0674503 + 0.182911i
\(199\) 5.85864 + 8.59305i 0.415308 + 0.609145i 0.975707 0.219078i \(-0.0703048\pi\)
−0.560400 + 0.828222i \(0.689352\pi\)
\(200\) 20.2525 + 21.8270i 1.43207 + 1.54340i
\(201\) 21.1470 14.0993i 1.49159 0.994486i
\(202\) 15.7463 23.0955i 1.10790 1.62499i
\(203\) −5.56222 0.239967i −0.390392 0.0168424i
\(204\) −1.50978 23.3948i −0.105705 1.63797i
\(205\) 1.18496 + 1.48590i 0.0827615 + 0.103780i
\(206\) 1.18826 15.8562i 0.0827901 1.10476i
\(207\) 15.8281 + 13.1678i 1.10013 + 0.915227i
\(208\) −2.19402 7.11285i −0.152128 0.493188i
\(209\) −0.585596 1.49207i −0.0405065 0.103209i
\(210\) −16.7860 6.17819i −1.15834 0.426335i
\(211\) −6.03274 + 15.3712i −0.415311 + 1.05820i 0.558231 + 0.829686i \(0.311480\pi\)
−0.973542 + 0.228509i \(0.926615\pi\)
\(212\) −52.3400 3.92234i −3.59472 0.269387i
\(213\) 8.37931 8.84527i 0.574141 0.606068i
\(214\) −0.736610 1.27585i −0.0503536 0.0872150i
\(215\) −4.43993 7.69018i −0.302800 0.524466i
\(216\) 49.9598 + 13.0480i 3.39933 + 0.887802i
\(217\) 16.6986 14.2050i 1.13357 0.964298i
\(218\) −10.0727 + 32.6549i −0.682209 + 2.21167i
\(219\) −6.82476 7.50982i −0.461175 0.507467i
\(220\) −2.05648 + 1.63999i −0.138648 + 0.110568i
\(221\) −0.867985 + 0.692195i −0.0583870 + 0.0465621i
\(222\) −39.6171 + 8.61176i −2.65893 + 0.577984i
\(223\) 3.17181 10.2827i 0.212400 0.688583i −0.785194 0.619250i \(-0.787437\pi\)
0.997594 0.0693332i \(-0.0220872\pi\)
\(224\) 30.3048 + 58.1414i 2.02482 + 3.88473i
\(225\) 6.46143 + 6.24926i 0.430762 + 0.416617i
\(226\) 10.9623 + 18.9873i 0.729202 + 1.26301i
\(227\) −8.81639 15.2704i −0.585165 1.01353i −0.994855 0.101310i \(-0.967697\pi\)
0.409690 0.912225i \(-0.365637\pi\)
\(228\) −45.6286 10.9127i −3.02182 0.722711i
\(229\) 10.7275 + 0.803911i 0.708890 + 0.0531240i 0.424295 0.905524i \(-0.360522\pi\)
0.284595 + 0.958648i \(0.408141\pi\)
\(230\) −9.78686 + 24.9365i −0.645326 + 1.64426i
\(231\) −0.629984 + 1.38287i −0.0414499 + 0.0909864i
\(232\) 7.63956 + 19.4653i 0.501562 + 1.27796i
\(233\) −0.868503 2.81562i −0.0568975 0.184457i 0.922663 0.385608i \(-0.126008\pi\)
−0.979560 + 0.201150i \(0.935532\pi\)
\(234\) −1.31556 3.56750i −0.0860005 0.233215i
\(235\) −0.917695 + 12.2458i −0.0598639 + 0.798828i
\(236\) −33.2244 41.6621i −2.16273 2.71197i
\(237\) −1.07917 + 0.719513i −0.0700998 + 0.0467374i
\(238\) 11.5705 13.2908i 0.750006 0.861514i
\(239\) 0.0477370 0.0700173i 0.00308785 0.00452904i −0.824692 0.565582i \(-0.808651\pi\)
0.827780 + 0.561053i \(0.189604\pi\)
\(240\) 2.55697 + 39.6217i 0.165052 + 2.55757i
\(241\) 7.24908 + 7.81265i 0.466954 + 0.503257i 0.921989 0.387217i \(-0.126564\pi\)
−0.455034 + 0.890474i \(0.650373\pi\)
\(242\) −16.9160 24.8112i −1.08740 1.59493i
\(243\) 15.2735 + 3.11792i 0.979793 + 0.200014i
\(244\) 57.5085i 3.68161i
\(245\) −4.19681 8.97582i −0.268125 0.573444i
\(246\) 0.0663996 6.41234i 0.00423348 0.408836i
\(247\) 0.811691 + 2.06815i 0.0516466 + 0.131593i
\(248\) −74.1875 35.7268i −4.71091 2.26865i
\(249\) 2.62995 2.39004i 0.166666 0.151463i
\(250\) −13.5422 + 28.1207i −0.856484 + 1.77851i
\(251\) −3.39351 + 1.63423i −0.214197 + 0.103152i −0.537906 0.843005i \(-0.680784\pi\)
0.323709 + 0.946157i \(0.395070\pi\)
\(252\) 22.6606 + 38.2729i 1.42748 + 2.41097i
\(253\) 2.05047 + 0.987454i 0.128912 + 0.0620807i
\(254\) −32.1287 + 25.6218i −2.01594 + 1.60766i
\(255\) 5.36169 2.51400i 0.335762 0.157433i
\(256\) 40.3773 50.6316i 2.52358 3.16447i
\(257\) 15.6041 + 14.4785i 0.973356 + 0.903142i 0.995322 0.0966166i \(-0.0308021\pi\)
−0.0219660 + 0.999759i \(0.506993\pi\)
\(258\) −4.77213 + 29.5794i −0.297100 + 1.84154i
\(259\) −18.9477 12.0572i −1.17735 0.749198i
\(260\) 2.85047 2.27317i 0.176779 0.140976i
\(261\) 2.62067 + 5.74317i 0.162215 + 0.355493i
\(262\) −6.07386 + 6.54607i −0.375244 + 0.404417i
\(263\) 2.87134 1.65777i 0.177054 0.102222i −0.408854 0.912600i \(-0.634071\pi\)
0.585908 + 0.810378i \(0.300738\pi\)
\(264\) 5.70725 + 0.0590984i 0.351257 + 0.00363726i
\(265\) −3.90790 12.6691i −0.240061 0.778257i
\(266\) −18.5909 29.9662i −1.13988 1.83734i
\(267\) −4.03998 18.5853i −0.247243 1.13740i
\(268\) −18.2978 80.1680i −1.11772 4.89704i
\(269\) −22.3552 + 3.36950i −1.36302 + 0.205442i −0.789501 0.613749i \(-0.789661\pi\)
−0.573520 + 0.819192i \(0.694422\pi\)
\(270\) 2.39849 + 20.1394i 0.145967 + 1.22565i
\(271\) −2.73339 2.94589i −0.166042 0.178950i 0.644550 0.764562i \(-0.277045\pi\)
−0.810592 + 0.585612i \(0.800854\pi\)
\(272\) −37.3777 11.5295i −2.26636 0.699078i
\(273\) 0.873216 1.91679i 0.0528495 0.116009i
\(274\) 16.4191 5.06463i 0.991915 0.305965i
\(275\) 0.860492 + 0.496805i 0.0518896 + 0.0299585i
\(276\) 58.0304 32.7074i 3.49302 1.96875i
\(277\) −14.0146 + 4.32295i −0.842059 + 0.259741i −0.685631 0.727949i \(-0.740474\pi\)
−0.156427 + 0.987689i \(0.549998\pi\)
\(278\) 28.3832 + 19.3513i 1.70231 + 1.16062i
\(279\) −22.9471 9.55907i −1.37381 0.572287i
\(280\) −24.4362 + 28.0692i −1.46034 + 1.67746i
\(281\) 18.9609 7.44161i 1.13111 0.443929i 0.275375 0.961337i \(-0.411198\pi\)
0.855739 + 0.517408i \(0.173103\pi\)
\(282\) 28.4959 30.0805i 1.69691 1.79127i
\(283\) −11.9502 9.52998i −0.710366 0.566498i 0.200253 0.979744i \(-0.435824\pi\)
−0.910619 + 0.413246i \(0.864395\pi\)
\(284\) −17.1034 35.5156i −1.01490 2.10746i
\(285\) −1.64484 11.7361i −0.0974318 0.695186i
\(286\) −0.236759 0.347262i −0.0139999 0.0205340i
\(287\) 2.52620 2.49749i 0.149117 0.147422i
\(288\) 43.1425 60.5455i 2.54219 3.56768i
\(289\) −0.834435 11.1348i −0.0490844 0.654986i
\(290\) −6.02091 + 5.58658i −0.353560 + 0.328056i
\(291\) 14.6000 0.942208i 0.855870 0.0552332i
\(292\) −30.5614 + 11.9945i −1.78847 + 0.701923i
\(293\) 5.22685 + 9.05317i 0.305356 + 0.528892i 0.977340 0.211673i \(-0.0678913\pi\)
−0.671985 + 0.740565i \(0.734558\pi\)
\(294\) −8.14776 + 32.4247i −0.475187 + 1.89105i
\(295\) 6.73024 11.6571i 0.391850 0.678704i
\(296\) −12.5722 + 83.4109i −0.730743 + 4.84816i
\(297\) 1.72143 0.0753365i 0.0998875 0.00437147i
\(298\) 5.86036 + 1.80768i 0.339482 + 0.104716i
\(299\) −2.84214 1.36870i −0.164365 0.0791542i
\(300\) 26.3317 12.3464i 1.52026 0.712822i
\(301\) −13.4105 + 9.77948i −0.772967 + 0.563680i
\(302\) 14.5659 1.09156i 0.838172 0.0628123i
\(303\) −10.8044 13.8398i −0.620694 0.795077i
\(304\) −44.0958 + 64.6766i −2.52906 + 3.70946i
\(305\) −13.5225 + 5.30717i −0.774293 + 0.303888i
\(306\) −19.3839 4.84864i −1.10810 0.277178i
\(307\) −20.3957 16.2650i −1.16405 0.928295i −0.165722 0.986173i \(-0.552995\pi\)
−0.998324 + 0.0578773i \(0.981567\pi\)
\(308\) 3.45651 + 3.49625i 0.196953 + 0.199217i
\(309\) −9.25896 3.74497i −0.526724 0.213044i
\(310\) 2.41698 32.2524i 0.137275 1.83181i
\(311\) −2.71546 + 11.8972i −0.153980 + 0.674629i 0.837725 + 0.546092i \(0.183885\pi\)
−0.991705 + 0.128537i \(0.958972\pi\)
\(312\) −7.91078 0.0819159i −0.447860 0.00463758i
\(313\) 15.6580i 0.885045i 0.896757 + 0.442522i \(0.145916\pi\)
−0.896757 + 0.442522i \(0.854084\pi\)
\(314\) 5.18895 22.7343i 0.292829 1.28297i
\(315\) −6.90820 + 8.86038i −0.389233 + 0.499226i
\(316\) 0.933773 + 4.09112i 0.0525288 + 0.230144i
\(317\) 9.40866 2.14747i 0.528443 0.120614i 0.0500286 0.998748i \(-0.484069\pi\)
0.478415 + 0.878134i \(0.341212\pi\)
\(318\) −16.7738 + 41.4710i −0.940627 + 2.32558i
\(319\) 0.435066 + 0.545556i 0.0243590 + 0.0305453i
\(320\) 48.6203 + 14.9974i 2.71796 + 0.838378i
\(321\) −0.904251 + 0.196561i −0.0504704 + 0.0109710i
\(322\) 48.2897 + 13.2355i 2.69108 + 0.737583i
\(323\) 11.3824 + 2.59796i 0.633333 + 0.144554i
\(324\) 27.0037 42.5952i 1.50021 2.36640i
\(325\) −1.19272 0.688618i −0.0661603 0.0381977i
\(326\) −4.57566 14.8339i −0.253423 0.821576i
\(327\) 17.6091 + 12.2747i 0.973784 + 0.678791i
\(328\) −12.4200 4.87451i −0.685782 0.269150i
\(329\) 22.9416 0.727133i 1.26481 0.0400882i
\(330\) 0.797389 + 2.09525i 0.0438948 + 0.115340i
\(331\) −2.75634 + 12.0763i −0.151502 + 0.663774i 0.840947 + 0.541117i \(0.181998\pi\)
−0.992449 + 0.122656i \(0.960859\pi\)
\(332\) −4.20048 10.7026i −0.230531 0.587384i
\(333\) −2.42851 + 25.3496i −0.133081 + 1.38915i
\(334\) −43.2609 16.9786i −2.36713 0.929030i
\(335\) 17.1619 11.7008i 0.937657 0.639284i
\(336\) 73.1306 12.6233i 3.98960 0.688660i
\(337\) 21.3085 + 14.5279i 1.16075 + 0.791384i 0.981319 0.192387i \(-0.0616229\pi\)
0.179428 + 0.983771i \(0.442575\pi\)
\(338\) −19.8654 29.1371i −1.08053 1.58485i
\(339\) 13.4572 2.92525i 0.730893 0.158878i
\(340\) −1.43175 19.1054i −0.0776476 1.03614i
\(341\) −2.71706 0.409531i −0.147137 0.0221773i
\(342\) −20.7060 + 34.2077i −1.11965 + 1.84974i
\(343\) −15.8482 + 9.58305i −0.855722 + 0.517436i
\(344\) 53.9874 + 31.1697i 2.91081 + 1.68056i
\(345\) 13.0461 + 10.6268i 0.702378 + 0.572125i
\(346\) 18.7268 38.8866i 1.00676 2.09056i
\(347\) −6.11052 + 1.39469i −0.328030 + 0.0748706i −0.383364 0.923597i \(-0.625235\pi\)
0.0553346 + 0.998468i \(0.482377\pi\)
\(348\) 20.3816 1.31532i 1.09257 0.0705086i
\(349\) −2.04010 0.152885i −0.109204 0.00818372i 0.0200159 0.999800i \(-0.493628\pi\)
−0.129220 + 0.991616i \(0.541247\pi\)
\(350\) 20.5920 + 7.33781i 1.10069 + 0.392222i
\(351\) −2.38606 + 0.104423i −0.127359 + 0.00557371i
\(352\) 3.00224 7.64959i 0.160020 0.407724i
\(353\) 29.7531 + 20.2853i 1.58360 + 1.07968i 0.952742 + 0.303780i \(0.0982487\pi\)
0.630856 + 0.775900i \(0.282704\pi\)
\(354\) −42.4476 + 16.1543i −2.25607 + 0.858590i
\(355\) 6.77269 7.29922i 0.359457 0.387403i
\(356\) −60.8464 9.17112i −3.22485 0.486069i
\(357\) −5.73750 9.46549i −0.303661 0.500967i
\(358\) −42.1279 + 6.34976i −2.22653 + 0.335595i
\(359\) 19.2645 28.2558i 1.01674 1.49129i 0.152440 0.988313i \(-0.451287\pi\)
0.864302 0.502974i \(-0.167761\pi\)
\(360\) 40.9373 + 10.2400i 2.15759 + 0.539695i
\(361\) 2.18217 3.77963i 0.114851 0.198928i
\(362\) −31.7820 −1.67042
\(363\) −18.0807 + 5.37277i −0.948991 + 0.281997i
\(364\) −4.79105 4.84613i −0.251119 0.254006i
\(365\) −5.64072 6.07925i −0.295249 0.318202i
\(366\) 46.6852 + 14.9316i 2.44028 + 0.780488i
\(367\) 13.6569 + 5.35995i 0.712886 + 0.279787i 0.693939 0.720033i \(-0.255874\pi\)
0.0189465 + 0.999820i \(0.493969\pi\)
\(368\) −16.5651 109.903i −0.863518 5.72906i
\(369\) −3.82361 1.26672i −0.199049 0.0659426i
\(370\) −32.3021 + 7.37274i −1.67931 + 0.383291i
\(371\) −22.7697 + 9.77979i −1.18214 + 0.507741i
\(372\) −55.3106 + 58.3863i −2.86772 + 3.02719i
\(373\) −11.4104 + 19.7634i −0.590810 + 1.02331i 0.403314 + 0.915062i \(0.367858\pi\)
−0.994124 + 0.108251i \(0.965475\pi\)
\(374\) −2.20862 −0.114205
\(375\) 14.2325 + 13.4828i 0.734964 + 0.696247i
\(376\) −37.4053 77.6728i −1.92903 4.00567i
\(377\) −0.603042 0.756191i −0.0310583 0.0389458i
\(378\) 36.9535 8.45852i 1.90068 0.435059i
\(379\) −4.17213 + 5.23168i −0.214308 + 0.268733i −0.877353 0.479846i \(-0.840692\pi\)
0.663045 + 0.748580i \(0.269264\pi\)
\(380\) −37.3798 8.53170i −1.91754 0.437667i
\(381\) 9.18101 + 24.1244i 0.470357 + 1.23593i
\(382\) −20.1384 + 9.69816i −1.03037 + 0.496201i
\(383\) 13.0409 1.96559i 0.666357 0.100437i 0.192852 0.981228i \(-0.438226\pi\)
0.473506 + 0.880791i \(0.342988\pi\)
\(384\) −47.6151 71.4163i −2.42985 3.64445i
\(385\) −0.503118 + 1.13541i −0.0256413 + 0.0578658i
\(386\) 0.895877 + 1.86031i 0.0455990 + 0.0946872i
\(387\) 16.7834 + 8.51501i 0.853148 + 0.432842i
\(388\) 13.9520 45.2312i 0.708304 2.29626i
\(389\) 23.1828 1.73731i 1.17542 0.0880852i 0.527335 0.849657i \(-0.323191\pi\)
0.648080 + 0.761572i \(0.275572\pi\)
\(390\) −1.10526 2.90421i −0.0559668 0.147061i
\(391\) −14.3561 + 8.28848i −0.726018 + 0.419166i
\(392\) 57.0222 + 39.8394i 2.88005 + 2.01219i
\(393\) 2.75410 + 4.88640i 0.138926 + 0.246486i
\(394\) 15.7065 19.6953i 0.791282 0.992237i
\(395\) −0.875807 + 0.597115i −0.0440666 + 0.0300441i
\(396\) 1.75313 5.29187i 0.0880982 0.265926i
\(397\) −9.83076 + 0.736713i −0.493392 + 0.0369746i −0.319103 0.947720i \(-0.603382\pi\)
−0.174289 + 0.984695i \(0.555763\pi\)
\(398\) 2.14314 28.5982i 0.107426 1.43350i
\(399\) −21.4852 + 5.38845i −1.07561 + 0.269760i
\(400\) −3.62622 48.3885i −0.181311 2.41942i
\(401\) 2.17489 + 14.4295i 0.108609 + 0.720573i 0.975163 + 0.221490i \(0.0710919\pi\)
−0.866554 + 0.499084i \(0.833670\pi\)
\(402\) −69.8310 5.96084i −3.48285 0.297299i
\(403\) 3.76610 + 0.567648i 0.187603 + 0.0282765i
\(404\) −54.2813 + 16.7436i −2.70059 + 0.833023i
\(405\) 12.5078 + 2.41871i 0.621518 + 0.120186i
\(406\) 11.5790 + 10.0803i 0.574655 + 0.500276i
\(407\) 0.419533 + 2.78342i 0.0207955 + 0.137969i
\(408\) −23.7733 + 34.1049i −1.17695 + 1.68844i
\(409\) −33.4231 7.62861i −1.65267 0.377211i −0.708250 0.705961i \(-0.750515\pi\)
−0.944417 + 0.328751i \(0.893372\pi\)
\(410\) 5.24070i 0.258820i
\(411\) 0.111753 10.7922i 0.00551236 0.532340i
\(412\) −21.9786 + 23.6873i −1.08281 + 1.16699i
\(413\) −23.0022 10.1927i −1.13187 0.501548i
\(414\) −11.4847 55.6011i −0.564441 2.73264i
\(415\) 2.12896 1.97539i 0.104506 0.0969678i
\(416\) −4.16139 + 10.6030i −0.204029 + 0.519857i
\(417\) 17.0084 13.2780i 0.832906 0.650226i
\(418\) −1.30279 + 4.22354i −0.0637216 + 0.206580i
\(419\) −6.45995 + 5.99396i −0.315589 + 0.292824i −0.822022 0.569455i \(-0.807154\pi\)
0.506433 + 0.862279i \(0.330964\pi\)
\(420\) 18.8420 + 31.0847i 0.919395 + 1.51678i
\(421\) −11.4137 10.5904i −0.556270 0.516143i 0.351177 0.936309i \(-0.385781\pi\)
−0.907447 + 0.420166i \(0.861972\pi\)
\(422\) 39.4331 22.7667i 1.91957 1.10826i
\(423\) −12.5437 22.8042i −0.609894 1.10878i
\(424\) 68.2297 + 63.3079i 3.31353 + 3.07450i
\(425\) −6.52059 + 3.14015i −0.316295 + 0.152320i
\(426\) −33.2722 + 4.66317i −1.61204 + 0.225931i
\(427\) 12.5499 + 24.0777i 0.607333 + 1.16520i
\(428\) −0.446212 + 2.96042i −0.0215685 + 0.143097i
\(429\) −0.253060 + 0.0751982i −0.0122179 + 0.00363060i
\(430\) −3.64946 + 24.2126i −0.175993 + 1.16764i
\(431\) 34.3903 + 2.57719i 1.65652 + 0.124139i 0.869877 0.493269i \(-0.164198\pi\)
0.786643 + 0.617408i \(0.211817\pi\)
\(432\) −50.3971 67.3878i −2.42473 3.24220i
\(433\) 6.96169 14.4561i 0.334557 0.694715i −0.664038 0.747699i \(-0.731159\pi\)
0.998595 + 0.0529834i \(0.0168730\pi\)
\(434\) −60.4225 + 1.91509i −2.90037 + 0.0919272i
\(435\) 2.19020 + 4.67112i 0.105012 + 0.223963i
\(436\) 57.3791 39.1204i 2.74796 1.87353i
\(437\) 7.38191 + 32.3422i 0.353124 + 1.54714i
\(438\) 1.80206 + 27.9239i 0.0861057 + 1.33426i
\(439\) 30.3345 + 24.1910i 1.44779 + 1.15457i 0.959437 + 0.281923i \(0.0909724\pi\)
0.488350 + 0.872648i \(0.337599\pi\)
\(440\) 4.66444 0.222369
\(441\) 17.8397 + 11.0790i 0.849511 + 0.527571i
\(442\) 3.06135 0.145614
\(443\) −23.6854 18.8885i −1.12533 0.897418i −0.129767 0.991545i \(-0.541423\pi\)
−0.995560 + 0.0941264i \(0.969994\pi\)
\(444\) 73.8564 + 36.5142i 3.50507 + 1.73289i
\(445\) −3.45873 15.1537i −0.163960 0.718354i
\(446\) −24.5168 + 16.7153i −1.16091 + 0.791492i
\(447\) 2.20286 3.16019i 0.104192 0.149472i
\(448\) 18.2145 93.3420i 0.860553 4.41000i
\(449\) −14.5344 + 30.1810i −0.685921 + 1.42433i 0.208914 + 0.977934i \(0.433007\pi\)
−0.894836 + 0.446396i \(0.852707\pi\)
\(450\) −3.18600 24.5816i −0.150189 1.15879i
\(451\) −0.443989 0.0332724i −0.0209066 0.00156674i
\(452\) 6.64057 44.0573i 0.312346 2.07228i
\(453\) 2.13411 8.92322i 0.100269 0.419249i
\(454\) −7.24676 + 48.0791i −0.340107 + 2.25646i
\(455\) 0.697369 1.57378i 0.0326932 0.0737801i
\(456\) 51.1958 + 65.5791i 2.39746 + 3.07102i
\(457\) −32.0185 + 15.4193i −1.49776 + 0.721285i −0.990112 0.140278i \(-0.955200\pi\)
−0.507651 + 0.861563i \(0.669486\pi\)
\(458\) −21.7451 20.1765i −1.01608 0.942785i
\(459\) −6.60988 + 10.6690i −0.308523 + 0.497987i
\(460\) 47.1454 27.2194i 2.19817 1.26911i
\(461\) −12.2022 11.3220i −0.568312 0.527316i 0.342836 0.939395i \(-0.388612\pi\)
−0.911148 + 0.412079i \(0.864803\pi\)
\(462\) 3.73570 1.89821i 0.173801 0.0883129i
\(463\) 9.66376 8.96666i 0.449113 0.416716i −0.422917 0.906168i \(-0.638994\pi\)
0.872030 + 0.489452i \(0.162803\pi\)
\(464\) 10.0445 32.5636i 0.466305 1.51173i
\(465\) −18.8332 7.61746i −0.873369 0.353251i
\(466\) −2.96840 + 7.56335i −0.137508 + 0.350365i
\(467\) −15.1356 + 14.0438i −0.700391 + 0.649868i −0.947735 0.319060i \(-0.896633\pi\)
0.247344 + 0.968928i \(0.420442\pi\)
\(468\) −2.43000 + 7.33502i −0.112327 + 0.339062i
\(469\) −25.1558 29.5717i −1.16159 1.36550i
\(470\) 23.0322 24.8228i 1.06240 1.14499i
\(471\) −12.6084 7.45457i −0.580963 0.343488i
\(472\) 94.4968i 4.34957i
\(473\) 2.02811 + 0.462902i 0.0932524 + 0.0212843i
\(474\) 3.56361 + 0.304193i 0.163682 + 0.0139720i
\(475\) 2.15864 + 14.3216i 0.0990450 + 0.657121i
\(476\) −35.2237 + 6.45638i −1.61448 + 0.295928i
\(477\) 21.6013 + 17.9707i 0.989055 + 0.822822i
\(478\) −0.223294 + 0.0688771i −0.0102132 + 0.00315037i
\(479\) 32.6198 + 4.91664i 1.49043 + 0.224647i 0.843182 0.537629i \(-0.180680\pi\)
0.647253 + 0.762275i \(0.275918\pi\)
\(480\) 34.7435 49.8426i 1.58582 2.27499i
\(481\) −0.581513 3.85808i −0.0265147 0.175913i
\(482\) −2.19620 29.3063i −0.100034 1.33487i
\(483\) 17.1586 26.3578i 0.780741 1.19932i
\(484\) −4.56040 + 60.8543i −0.207291 + 2.76610i
\(485\) 11.9231 0.893515i 0.541402 0.0405724i
\(486\) −27.5674 32.9810i −1.25048 1.49605i
\(487\) 3.64089 2.48231i 0.164984 0.112484i −0.478013 0.878353i \(-0.658643\pi\)
0.642998 + 0.765868i \(0.277691\pi\)
\(488\) 63.5844 79.7323i 2.87833 3.60931i
\(489\) −9.75027 0.100964i −0.440922 0.00456574i
\(490\) −6.38394 + 26.5663i −0.288397 + 1.20014i
\(491\) 20.4587 11.8118i 0.923286 0.533059i 0.0386041 0.999255i \(-0.487709\pi\)
0.884682 + 0.466195i \(0.154376\pi\)
\(492\) −8.23025 + 10.1040i −0.371048 + 0.455523i
\(493\) −5.06840 + 0.379824i −0.228269 + 0.0171064i
\(494\) 1.80579 5.85422i 0.0812463 0.263394i
\(495\) 1.40611 0.0761315i 0.0631999 0.00342186i
\(496\) 58.2227 + 120.901i 2.61428 + 5.42860i
\(497\) −14.9113 11.1373i −0.668865 0.499575i
\(498\) −9.77899 + 0.631083i −0.438207 + 0.0282795i
\(499\) 26.6066 4.01030i 1.19108 0.179526i 0.476558 0.879143i \(-0.341884\pi\)
0.714518 + 0.699617i \(0.246646\pi\)
\(500\) 57.1465 27.5203i 2.55567 1.23075i
\(501\) −18.4357 + 22.6329i −0.823648 + 1.01116i
\(502\) 10.1257 + 2.31113i 0.451933 + 0.103151i
\(503\) 9.50459 11.9184i 0.423789 0.531414i −0.523402 0.852086i \(-0.675337\pi\)
0.947190 + 0.320672i \(0.103909\pi\)
\(504\) 10.8990 78.1179i 0.485478 3.47965i
\(505\) −8.94640 11.2184i −0.398109 0.499214i
\(506\) −2.72289 5.65415i −0.121047 0.251357i
\(507\) −21.2331 + 6.30953i −0.942996 + 0.280216i
\(508\) 83.5112 3.70521
\(509\) 4.66278 8.07618i 0.206674 0.357970i −0.743991 0.668190i \(-0.767069\pi\)
0.950665 + 0.310220i \(0.100403\pi\)
\(510\) −15.8814 3.79827i −0.703242 0.168190i
\(511\) −10.1780 + 11.6912i −0.450246 + 0.517187i
\(512\) −77.4704 + 17.6821i −3.42374 + 0.781447i
\(513\) 16.5035 + 18.9334i 0.728645 + 0.835930i
\(514\) −8.74836 58.0415i −0.385873 2.56010i
\(515\) −7.59808 2.98203i −0.334811 0.131404i
\(516\) 45.0607 40.9502i 1.98369 1.80273i
\(517\) −1.95675 2.10887i −0.0860577 0.0927481i
\(518\) 20.1196 + 58.5701i 0.884003 + 2.57342i
\(519\) −19.6814 18.6446i −0.863917 0.818407i
\(520\) −6.46535 −0.283525
\(521\) −2.34018 + 4.05331i −0.102525 + 0.177579i −0.912724 0.408576i \(-0.866026\pi\)
0.810199 + 0.586155i \(0.199359\pi\)
\(522\) 4.22415 16.8873i 0.184886 0.739136i
\(523\) 10.9443 16.0523i 0.478561 0.701920i −0.508715 0.860935i \(-0.669879\pi\)
0.987276 + 0.159015i \(0.0508319\pi\)
\(524\) 17.9445 2.70470i 0.783910 0.118155i
\(525\) 8.33024 10.9155i 0.363562 0.476391i
\(526\) −9.04043 1.36263i −0.394181 0.0594133i
\(527\) 13.6131 14.6714i 0.592996 0.639098i
\(528\) −7.21169 5.87431i −0.313848 0.255647i
\(529\) −19.9142 13.5773i −0.865836 0.590317i
\(530\) −13.3565 + 34.0319i −0.580171 + 1.47825i
\(531\) 1.54235 + 28.4863i 0.0669321 + 1.23620i
\(532\) −8.43076 + 71.1668i −0.365520 + 3.08547i
\(533\) 0.615410 + 0.0461186i 0.0266564 + 0.00199762i
\(534\) −23.2434 + 47.0138i −1.00584 + 2.03448i
\(535\) −0.737287 + 0.168281i −0.0318757 + 0.00727542i
\(536\) −63.2690 + 131.379i −2.73280 + 5.67472i
\(537\) −4.26223 + 26.4189i −0.183929 + 1.14006i
\(538\) 53.9884 + 31.1702i 2.32761 + 1.34384i
\(539\) 2.21015 + 0.709509i 0.0951980 + 0.0305607i
\(540\) 21.7069 35.0372i 0.934115 1.50776i
\(541\) 4.07946 + 0.614879i 0.175390 + 0.0264357i 0.236150 0.971717i \(-0.424114\pi\)
−0.0607602 + 0.998152i \(0.519353\pi\)
\(542\) 0.828117 + 11.0505i 0.0355707 + 0.474658i
\(543\) −6.08144 + 19.0143i −0.260980 + 0.815980i
\(544\) 33.7181 + 49.4554i 1.44565 + 2.12038i
\(545\) 14.4939 + 9.88180i 0.620852 + 0.423290i
\(546\) −5.17803 + 2.63110i −0.221599 + 0.112601i
\(547\) 0.0331290 0.0225870i 0.00141649 0.000965750i −0.562612 0.826721i \(-0.690203\pi\)
0.564028 + 0.825756i \(0.309251\pi\)
\(548\) −32.5043 12.7570i −1.38852 0.544952i
\(549\) 17.8663 25.0733i 0.762515 1.07010i
\(550\) −1.00099 2.55047i −0.0426822 0.108752i
\(551\) −2.26335 + 9.91637i −0.0964218 + 0.422451i
\(552\) −116.619 18.8144i −4.96363 0.800794i
\(553\) 1.28375 + 1.50910i 0.0545905 + 0.0641735i
\(554\) 37.6463 + 14.7751i 1.59944 + 0.627734i
\(555\) −1.77006 + 20.7362i −0.0751348 + 0.880202i
\(556\) −20.5770 66.7089i −0.872657 2.82909i
\(557\) 23.8400 + 13.7640i 1.01013 + 0.583201i 0.911231 0.411897i \(-0.135133\pi\)
0.0989024 + 0.995097i \(0.468467\pi\)
\(558\) 33.0369 + 60.0605i 1.39856 + 2.54256i
\(559\) −2.81115 0.641626i −0.118899 0.0271379i
\(560\) 59.6552 10.9346i 2.52089 0.462070i
\(561\) −0.422616 + 1.32135i −0.0178428 + 0.0557875i
\(562\) −53.6718 16.5555i −2.26401 0.698354i
\(563\) 18.4434 + 23.1273i 0.777298 + 0.974701i 1.00000 0.000185970i \(-5.91962e-5\pi\)
−0.222702 + 0.974887i \(0.571488\pi\)
\(564\) −83.3887 + 11.6871i −3.51130 + 0.492115i
\(565\) 10.9724 2.50438i 0.461612 0.105360i
\(566\) 9.37879 + 41.0912i 0.394220 + 1.72719i
\(567\) 2.01050 23.7267i 0.0844332 0.996429i
\(568\) −15.5550 + 68.1508i −0.652672 + 2.85954i
\(569\) 8.51947i 0.357155i 0.983926 + 0.178577i \(0.0571495\pi\)
−0.983926 + 0.178577i \(0.942850\pi\)
\(570\) −16.6314 + 28.1297i −0.696612 + 1.17822i
\(571\) 0.0878092 0.384717i 0.00367470 0.0160999i −0.973057 0.230563i \(-0.925943\pi\)
0.976732 + 0.214463i \(0.0688003\pi\)
\(572\) −0.0638280 + 0.851726i −0.00266878 + 0.0356124i
\(573\) 1.94867 + 13.9040i 0.0814069 + 0.580847i
\(574\) −9.74005 + 1.04110i −0.406542 + 0.0434546i
\(575\) −16.0778 12.8216i −0.670492 0.534699i
\(576\) −103.681 + 29.6446i −4.32006 + 1.23519i
\(577\) 21.0897 8.27708i 0.877974 0.344579i 0.116822 0.993153i \(-0.462729\pi\)
0.761152 + 0.648574i \(0.224634\pi\)
\(578\) −17.3447 + 25.4399i −0.721442 + 1.05816i
\(579\) 1.28439 0.180010i 0.0533776 0.00748098i
\(580\) 16.6447 1.24735i 0.691132 0.0517932i
\(581\) −4.09426 3.56433i −0.169859 0.147873i
\(582\) −33.0960 23.0701i −1.37187 0.956285i
\(583\) 2.79837 + 1.34762i 0.115896 + 0.0558128i
\(584\) 55.6334 + 17.1606i 2.30213 + 0.710112i
\(585\) −1.94900 + 0.105525i −0.0805811 + 0.00436294i
\(586\) 4.29628 28.5040i 0.177478 1.17749i
\(587\) 6.46045 11.1898i 0.266651 0.461854i −0.701344 0.712823i \(-0.747416\pi\)
0.967995 + 0.250970i \(0.0807494\pi\)
\(588\) 54.0291 41.1938i 2.22812 1.69880i
\(589\) −20.0263 34.6866i −0.825170 1.42924i
\(590\) −34.5514 + 13.5604i −1.42246 + 0.558273i
\(591\) −8.77774 13.1654i −0.361068 0.541553i
\(592\) 100.771 93.5014i 4.14165 3.84289i
\(593\) −1.94217 25.9164i −0.0797553 1.06426i −0.883236 0.468929i \(-0.844640\pi\)
0.803480 0.595331i \(-0.202979\pi\)
\(594\) −3.84074 2.79718i −0.157587 0.114770i
\(595\) −4.76876 7.68662i −0.195500 0.315120i
\(596\) −7.02069 10.2975i −0.287579 0.421801i
\(597\) −16.6994 6.75441i −0.683461 0.276439i
\(598\) 3.77418 + 7.83717i 0.154338 + 0.320486i
\(599\) −3.20111 2.55280i −0.130794 0.104304i 0.555908 0.831244i \(-0.312371\pi\)
−0.686702 + 0.726939i \(0.740942\pi\)
\(600\) −50.1582 11.9960i −2.04770 0.489736i
\(601\) 20.9931 8.23920i 0.856328 0.336084i 0.103763 0.994602i \(-0.466912\pi\)
0.752565 + 0.658518i \(0.228816\pi\)
\(602\) 45.7251 + 1.97268i 1.86361 + 0.0804004i
\(603\) −16.9283 + 40.6373i −0.689372 + 1.65488i
\(604\) −24.5258 16.7214i −0.997940 0.680384i
\(605\) −14.7300 + 4.54361i −0.598861 + 0.184724i
\(606\) −0.501312 + 48.4127i −0.0203644 + 1.96663i
\(607\) −13.4728 7.77853i −0.546844 0.315721i 0.201004 0.979590i \(-0.435580\pi\)
−0.747848 + 0.663870i \(0.768913\pi\)
\(608\) 114.463 35.3072i 4.64209 1.43189i
\(609\) 8.24636 4.99852i 0.334160 0.202550i
\(610\) 38.2774 + 11.8070i 1.54981 + 0.478052i
\(611\) 2.71223 + 2.92309i 0.109725 + 0.118256i
\(612\) 24.6542 + 32.2640i 0.996586 + 1.30419i
\(613\) 8.08553 1.21870i 0.326571 0.0492227i 0.0162895 0.999867i \(-0.494815\pi\)
0.310282 + 0.950645i \(0.399577\pi\)
\(614\) 16.0070 + 70.1313i 0.645991 + 2.83027i
\(615\) −3.13536 1.00280i −0.126430 0.0404368i
\(616\) −0.926622 8.66905i −0.0373347 0.349286i
\(617\) −8.83441 28.6405i −0.355660 1.15302i −0.939903 0.341442i \(-0.889085\pi\)
0.584243 0.811579i \(-0.301392\pi\)
\(618\) 13.5227 + 23.9924i 0.543963 + 0.965114i
\(619\) −7.75372 + 4.47661i −0.311648 + 0.179930i −0.647664 0.761926i \(-0.724254\pi\)
0.336015 + 0.941856i \(0.390921\pi\)
\(620\) −44.7055 + 48.1811i −1.79542 + 1.93500i
\(621\) −35.4621 3.76824i −1.42305 0.151214i
\(622\) 26.3087 20.9805i 1.05488 0.841241i
\(623\) −27.4766 + 9.43856i −1.10083 + 0.378148i
\(624\) 9.99607 + 8.14235i 0.400163 + 0.325955i
\(625\) 0.762429 + 0.707431i 0.0304972 + 0.0282972i
\(626\) 26.9203 33.7570i 1.07595 1.34920i
\(627\) 2.27754 + 1.58759i 0.0909561 + 0.0634023i
\(628\) −37.0498 + 29.5462i −1.47845 + 1.17902i
\(629\) −18.4726 8.89594i −0.736551 0.354704i
\(630\) 30.1267 7.22497i 1.20028 0.287850i
\(631\) −34.0667 + 16.4057i −1.35618 + 0.653100i −0.963780 0.266697i \(-0.914068\pi\)
−0.392395 + 0.919797i \(0.628353\pi\)
\(632\) 3.22874 6.70454i 0.128432 0.266692i
\(633\) −6.07520 27.9480i −0.241467 1.11083i
\(634\) −23.9761 11.5463i −0.952213 0.458562i
\(635\) 7.70683 + 19.6367i 0.305836 + 0.779258i
\(636\) 79.1966 44.6372i 3.14035 1.76998i
\(637\) −3.06348 0.983446i −0.121379 0.0389655i
\(638\) 1.92415i 0.0761780i
\(639\) −3.57675 + 20.7981i −0.141494 + 0.822761i
\(640\) −39.5153 57.9582i −1.56198 2.29100i
\(641\) −14.5254 15.6546i −0.573717 0.618320i 0.377811 0.925883i \(-0.376677\pi\)
−0.951528 + 0.307563i \(0.900486\pi\)
\(642\) 2.28741 + 1.13088i 0.0902768 + 0.0446324i
\(643\) −8.33041 + 12.2185i −0.328519 + 0.481849i −0.954592 0.297915i \(-0.903709\pi\)
0.626073 + 0.779764i \(0.284661\pi\)
\(644\) −59.9541 82.2143i −2.36252 3.23970i
\(645\) 13.7874 + 6.81641i 0.542878 + 0.268396i
\(646\) −20.0726 25.1702i −0.789746 0.990310i
\(647\) 2.54128 33.9110i 0.0999080 1.33318i −0.691715 0.722170i \(-0.743145\pi\)
0.791623 0.611009i \(-0.209236\pi\)
\(648\) −84.5345 + 29.1992i −3.32083 + 1.14705i
\(649\) 0.929469 + 3.01326i 0.0364848 + 0.118281i
\(650\) 1.38746 + 3.53519i 0.0544207 + 0.138662i
\(651\) −10.4160 + 36.5155i −0.408236 + 1.43116i
\(652\) −11.5254 + 29.3662i −0.451369 + 1.15007i
\(653\) 9.65364 + 0.723440i 0.377776 + 0.0283104i 0.262265 0.964996i \(-0.415530\pi\)
0.115511 + 0.993306i \(0.463150\pi\)
\(654\) −16.8598 56.7375i −0.659272 2.21861i
\(655\) 2.29199 + 3.96984i 0.0895554 + 0.155115i
\(656\) 10.8718 + 18.8305i 0.424471 + 0.735206i
\(657\) 17.0509 + 4.26508i 0.665219 + 0.166397i
\(658\) −50.7097 37.8751i −1.97687 1.47652i
\(659\) −2.86967 + 9.30323i −0.111786 + 0.362403i −0.994128 0.108206i \(-0.965489\pi\)
0.882342 + 0.470609i \(0.155966\pi\)
\(660\) 1.38787 4.33933i 0.0540229 0.168908i
\(661\) 25.0983 20.0152i 0.976209 0.778501i 0.00104847 0.999999i \(-0.499666\pi\)
0.975161 + 0.221499i \(0.0710948\pi\)
\(662\) 26.7047 21.2963i 1.03791 0.827705i
\(663\) 0.585785 1.83152i 0.0227500 0.0711302i
\(664\) −6.00967 + 19.4829i −0.233220 + 0.756082i
\(665\) −17.5121 + 4.58523i −0.679089 + 0.177808i
\(666\) 48.8183 50.4758i 1.89167 1.95590i
\(667\) −7.22095 12.5070i −0.279596 0.484275i
\(668\) 47.2214 + 81.7898i 1.82705 + 3.16454i
\(669\) 5.30902 + 17.8662i 0.205259 + 0.690746i
\(670\) −57.1161 4.28026i −2.20659 0.165361i
\(671\) 1.24330 3.16787i 0.0479970 0.122294i
\(672\) −99.5365 54.6707i −3.83970 2.10897i
\(673\) −6.24279 15.9064i −0.240642 0.613146i 0.758621 0.651532i \(-0.225873\pi\)
−0.999263 + 0.0383865i \(0.987778\pi\)
\(674\) −20.9615 67.9555i −0.807406 2.61755i
\(675\) −15.3161 2.79757i −0.589518 0.107678i
\(676\) −5.35551 + 71.4643i −0.205981 + 2.74863i
\(677\) −7.16428 8.98372i −0.275345 0.345272i 0.624861 0.780736i \(-0.285156\pi\)
−0.900206 + 0.435464i \(0.856584\pi\)
\(678\) −34.0414 16.8299i −1.30735 0.646349i
\(679\) −4.02924 21.9821i −0.154628 0.843596i
\(680\) −19.1389 + 28.0716i −0.733942 + 1.07650i
\(681\) 27.3777 + 13.5354i 1.04912 + 0.518678i
\(682\) 5.15359 + 5.55425i 0.197341 + 0.212683i
\(683\) 11.5922 + 17.0027i 0.443565 + 0.650590i 0.981291 0.192529i \(-0.0616690\pi\)
−0.537726 + 0.843119i \(0.680717\pi\)
\(684\) 76.2412 28.1148i 2.91515 1.07500i
\(685\) 8.82029i 0.337006i
\(686\) 50.6428 + 6.58724i 1.93355 + 0.251502i
\(687\) −16.2319 + 9.14871i −0.619285 + 0.349045i
\(688\) −37.1158 94.5695i −1.41503 3.60543i
\(689\) −3.87880 1.86793i −0.147770 0.0711625i
\(690\) −9.85573 45.3398i −0.375201 1.72606i
\(691\) −0.0904422 + 0.187805i −0.00344058 + 0.00714444i −0.902682 0.430308i \(-0.858405\pi\)
0.899241 + 0.437453i \(0.144119\pi\)
\(692\) −79.0249 + 38.0564i −3.00408 + 1.44669i
\(693\) −0.420826 2.59818i −0.0159859 0.0986968i
\(694\) 15.5714 + 7.49881i 0.591084 + 0.284651i
\(695\) 13.7869 10.9947i 0.522966 0.417051i
\(696\) −29.7123 20.7114i −1.12624 0.785063i
\(697\) 2.02199 2.53549i 0.0765883 0.0960387i
\(698\) 4.13539 + 3.83708i 0.156527 + 0.145236i
\(699\) 3.95694 + 3.22314i 0.149665 + 0.121910i
\(700\) −23.4198 37.7496i −0.885183 1.42680i
\(701\) 9.76941 7.79084i 0.368985 0.294256i −0.421389 0.906880i \(-0.638457\pi\)
0.790375 + 0.612624i \(0.209886\pi\)
\(702\) 5.32362 + 3.87715i 0.200927 + 0.146334i
\(703\) −27.9081 + 30.0778i −1.05257 + 1.13440i
\(704\) −10.3228 + 5.95986i −0.389054 + 0.224621i
\(705\) −10.4436 18.5293i −0.393329 0.697855i
\(706\) −29.2686 94.8865i −1.10154 3.57110i
\(707\) −19.0726 + 18.8558i −0.717300 + 0.709147i
\(708\) 87.9103 + 28.1169i 3.30387 + 1.05670i
\(709\) 5.62900 + 24.6622i 0.211401 + 0.926210i 0.963616 + 0.267292i \(0.0861287\pi\)
−0.752214 + 0.658919i \(0.771014\pi\)
\(710\) −27.1505 + 4.09228i −1.01894 + 0.153580i
\(711\) 0.863881 2.07380i 0.0323981 0.0777735i
\(712\) 74.2201 + 79.9902i 2.78151 + 2.99776i
\(713\) 54.3424 + 16.7624i 2.03514 + 0.627757i
\(714\) −3.90427 + 30.2708i −0.146114 + 1.13286i
\(715\) −0.206164 + 0.0635931i −0.00771009 + 0.00237825i
\(716\) 74.9795 + 43.2894i 2.80211 + 1.61780i
\(717\) −0.00151980 + 0.146770i −5.67579e−5 + 0.00548123i
\(718\) −90.1115 + 27.7957i −3.36293 + 1.03733i
\(719\) −2.51616 1.71549i −0.0938368 0.0639768i 0.515493 0.856894i \(-0.327609\pi\)
−0.609329 + 0.792917i \(0.708561\pi\)
\(720\) −41.7546 54.6426i −1.55610 2.03641i
\(721\) −4.03281 + 14.7137i −0.150190 + 0.547968i
\(722\) −11.2027 + 4.39674i −0.416922 + 0.163630i
\(723\) −17.9534 4.29379i −0.667693 0.159688i
\(724\) 50.4962 + 40.2694i 1.87668 + 1.49660i
\(725\) −2.73571 5.68076i −0.101602 0.210978i
\(726\) 48.2173 + 19.5024i 1.78951 + 0.723803i
\(727\) −28.7000 42.0952i −1.06442 1.56122i −0.802981 0.596005i \(-0.796754\pi\)
−0.261443 0.965219i \(-0.584198\pi\)
\(728\) 1.28438 + 12.0161i 0.0476025 + 0.445347i
\(729\) −25.0066 + 10.1819i −0.926169 + 0.377108i
\(730\) 1.70893 + 22.8041i 0.0632503 + 0.844017i
\(731\) −11.1074 + 10.3062i −0.410824 + 0.381189i
\(732\) −55.2558 82.8763i −2.04231 3.06320i
\(733\) 22.6704 8.89749i 0.837352 0.328636i 0.0923729 0.995724i \(-0.470555\pi\)
0.744979 + 0.667088i \(0.232460\pi\)
\(734\) −20.2277 35.0354i −0.746617 1.29318i
\(735\) 14.6723 + 8.90276i 0.541196 + 0.328383i
\(736\) −85.0385 + 147.291i −3.13456 + 5.42922i
\(737\) −0.725242 + 4.81167i −0.0267146 + 0.177240i
\(738\) 6.06547 + 9.30471i 0.223273 + 0.342511i
\(739\) 6.09669 + 1.88058i 0.224270 + 0.0691782i 0.404854 0.914381i \(-0.367322\pi\)
−0.180584 + 0.983560i \(0.557799\pi\)
\(740\) 60.6642 + 29.2143i 2.23006 + 1.07394i
\(741\) −3.15688 2.20055i −0.115971 0.0808392i
\(742\) 65.9030 + 18.0630i 2.41938 + 0.663114i
\(743\) 1.80182 0.135028i 0.0661024 0.00495369i −0.0416378 0.999133i \(-0.513258\pi\)
0.107740 + 0.994179i \(0.465639\pi\)
\(744\) 141.240 19.7951i 5.17811 0.725722i
\(745\) 1.77342 2.60114i 0.0649732 0.0952982i
\(746\) 58.5783 22.9903i 2.14470 0.841734i
\(747\) −1.49364 + 5.97125i −0.0546493 + 0.218476i
\(748\) 3.50912 + 2.79843i 0.128306 + 0.102321i
\(749\) 0.459224 + 1.33685i 0.0167797 + 0.0488473i
\(750\) −7.50329 53.5368i −0.273982 1.95489i
\(751\) −3.12984 + 41.7648i −0.114210 + 1.52402i 0.586133 + 0.810215i \(0.300649\pi\)
−0.700343 + 0.713806i \(0.746970\pi\)
\(752\) −31.2628 + 136.971i −1.14004 + 4.99483i
\(753\) 3.32022 5.61570i 0.120996 0.204647i
\(754\) 2.66706i 0.0971284i
\(755\) 1.66848 7.31008i 0.0607221 0.266041i
\(756\) −69.4302 33.3827i −2.52515 1.21412i
\(757\) −3.57104 15.6458i −0.129792 0.568655i −0.997442 0.0714799i \(-0.977228\pi\)
0.867650 0.497175i \(-0.165629\pi\)
\(758\) 17.9893 4.10594i 0.653401 0.149134i
\(759\) −3.90374 + 0.547116i −0.141697 + 0.0198591i
\(760\) 42.3919 + 53.1578i 1.53772 + 1.92824i
\(761\) −34.5793 10.6663i −1.25350 0.386653i −0.404251 0.914648i \(-0.632468\pi\)
−0.849247 + 0.527995i \(0.822944\pi\)
\(762\) 21.6830 67.7942i 0.785492 2.45592i
\(763\) 15.4864 28.9007i 0.560646 1.04627i
\(764\) 44.2846 + 10.1077i 1.60216 + 0.365683i
\(765\) −5.31128 + 8.77462i −0.192030 + 0.317247i
\(766\) −31.4941 18.1831i −1.13793 0.656982i
\(767\) −1.28833 4.17666i −0.0465189 0.150811i
\(768\) −9.54006 + 111.761i −0.344247 + 4.03285i
\(769\) −49.9038 19.5858i −1.79958 0.706282i −0.993413 0.114593i \(-0.963444\pi\)
−0.806166 0.591690i \(-0.798461\pi\)
\(770\) 3.03674 1.58283i 0.109436 0.0570411i
\(771\) −36.3986