Properties

Label 441.2.bn.a.320.4
Level $441$
Weight $2$
Character 441.320
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 320.4
Character \(\chi\) \(=\) 441.320
Dual form 441.2.bn.a.164.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.05598 - 2.19277i) q^{2} +(1.37134 + 1.05803i) q^{3} +(-2.44617 + 3.06740i) q^{4} +(-3.22503 + 0.994791i) q^{5} +(0.871911 - 4.12430i) q^{6} +(-0.531380 - 2.59184i) q^{7} +(4.56367 + 1.04163i) q^{8} +(0.761139 + 2.90184i) q^{9} +O(q^{10})\) \(q+(-1.05598 - 2.19277i) q^{2} +(1.37134 + 1.05803i) q^{3} +(-2.44617 + 3.06740i) q^{4} +(-3.22503 + 0.994791i) q^{5} +(0.871911 - 4.12430i) q^{6} +(-0.531380 - 2.59184i) q^{7} +(4.56367 + 1.04163i) q^{8} +(0.761139 + 2.90184i) q^{9} +(5.58693 + 6.02128i) q^{10} +(2.38848 + 0.178992i) q^{11} +(-6.59993 + 1.61832i) q^{12} +(5.81737 + 0.435952i) q^{13} +(-5.12219 + 3.90214i) q^{14} +(-5.47513 - 2.04799i) q^{15} +(-0.789054 - 3.45707i) q^{16} +(-1.47076 + 3.74743i) q^{17} +(5.55932 - 4.73330i) q^{18} +(3.32577 + 1.92013i) q^{19} +(4.83756 - 12.3259i) q^{20} +(2.01355 - 4.11651i) q^{21} +(-2.12971 - 5.42641i) q^{22} +(0.156184 - 1.03621i) q^{23} +(5.15627 + 6.25694i) q^{24} +(5.28004 - 3.59987i) q^{25} +(-5.18710 - 13.2165i) q^{26} +(-2.02646 + 4.78471i) q^{27} +(9.25005 + 4.71012i) q^{28} +(5.17115 + 2.02953i) q^{29} +(1.29087 + 14.1684i) q^{30} +2.94815i q^{31} +(0.572221 - 0.456331i) q^{32} +(3.08604 + 2.77255i) q^{33} +(9.77037 - 0.732188i) q^{34} +(4.29206 + 7.83016i) q^{35} +(-10.7630 - 4.76367i) q^{36} +(11.0077 - 1.65914i) q^{37} +(0.698459 - 9.32029i) q^{38} +(7.51633 + 6.75280i) q^{39} +(-15.7542 + 1.18061i) q^{40} +(-3.77830 - 3.50575i) q^{41} +(-11.1528 - 0.0682852i) q^{42} +(-2.94822 + 2.73554i) q^{43} +(-6.39167 + 6.88858i) q^{44} +(-5.34142 - 8.60135i) q^{45} +(-2.43711 + 0.751749i) q^{46} +(-2.68897 + 1.29494i) q^{47} +(2.57563 - 5.57566i) q^{48} +(-6.43527 + 2.75451i) q^{49} +(-13.4693 - 7.77652i) q^{50} +(-5.98181 + 3.58289i) q^{51} +(-15.5675 + 16.7778i) q^{52} +(1.05930 - 7.02802i) q^{53} +(12.6317 - 0.609015i) q^{54} +(-7.88100 + 1.79879i) q^{55} +(0.274689 - 12.3818i) q^{56} +(2.52919 + 6.15192i) q^{57} +(-1.01036 - 13.4823i) q^{58} +(-0.112564 - 0.493175i) q^{59} +(19.6751 - 11.7847i) q^{60} +(-5.84045 + 4.65761i) q^{61} +(6.46463 - 3.11320i) q^{62} +(7.11665 - 3.51473i) q^{63} +(-7.99452 - 3.84996i) q^{64} +(-19.1949 + 4.38111i) q^{65} +(2.82076 - 9.69474i) q^{66} -1.32842 q^{67} +(-7.89715 - 13.6783i) q^{68} +(1.31053 - 1.25575i) q^{69} +(12.6374 - 17.6800i) q^{70} +(8.15167 + 6.50074i) q^{71} +(0.450949 + 14.0359i) q^{72} +(9.25157 - 0.693309i) q^{73} +(-15.2620 - 22.3853i) q^{74} +(11.0495 + 0.649808i) q^{75} +(-14.0252 + 5.50449i) q^{76} +(-0.805274 - 6.28568i) q^{77} +(6.87022 - 23.6124i) q^{78} -6.76236 q^{79} +(5.98379 + 10.3642i) q^{80} +(-7.84134 + 4.41740i) q^{81} +(-3.69749 + 11.9870i) q^{82} +(1.27459 + 17.0082i) q^{83} +(7.70149 + 16.2460i) q^{84} +(1.01533 - 13.5487i) q^{85} +(9.11169 + 3.57608i) q^{86} +(4.94409 + 8.25441i) q^{87} +(10.7138 + 3.30477i) q^{88} +(-4.11475 + 2.80539i) q^{89} +(-13.2204 + 20.7954i) q^{90} +(-1.96132 - 15.3093i) q^{91} +(2.79643 + 3.01384i) q^{92} +(-3.11924 + 4.04291i) q^{93} +(5.67901 + 4.52886i) q^{94} +(-12.6359 - 2.88405i) q^{95} +(1.26752 - 0.0203564i) q^{96} +(-4.19458 + 2.42174i) q^{97} +(12.8355 + 11.2024i) q^{98} +(1.29856 + 7.06723i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} + O(q^{10}) \) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} - 22q^{10} - 18q^{11} - 72q^{12} - 4q^{13} + 66q^{14} - 10q^{15} - 105q^{16} - 9q^{17} - 27q^{18} - 36q^{19} - 27q^{20} - 11q^{21} - 9q^{22} - 27q^{23} - 8q^{24} + 38q^{25} + 6q^{26} - 29q^{27} - 26q^{28} + 3q^{29} - 16q^{30} - 21q^{32} - 11q^{33} - 13q^{34} + 28q^{36} - 13q^{37} - 90q^{38} - 15q^{39} - 31q^{40} - 27q^{41} - 4q^{42} - 9q^{43} + 51q^{44} - 11q^{45} - 108q^{46} + 75q^{47} - 15q^{48} - 13q^{49} - 45q^{50} - 38q^{51} + 64q^{52} - 12q^{53} - 41q^{54} + 14q^{55} + 3q^{56} - 7q^{57} - 90q^{58} + 15q^{59} - 69q^{60} - 56q^{61} + 66q^{62} + 13q^{63} + 64q^{64} - 21q^{65} - 204q^{66} - 26q^{67} + 3q^{68} + 58q^{69} - 22q^{70} - 63q^{71} - 18q^{72} - 22q^{73} - 12q^{74} + 118q^{75} - 63q^{76} - 69q^{77} - 147q^{78} - 2q^{79} - 45q^{80} + 29q^{81} - 28q^{82} - 51q^{83} - 31q^{84} - 10q^{85} - 72q^{86} - 67q^{87} + 4q^{88} + 132q^{89} + 58q^{90} - 13q^{91} - 15q^{92} + 217q^{93} - 7q^{94} - 21q^{95} - 44q^{96} + 3q^{97} + 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{17}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.05598 2.19277i −0.746693 1.55052i −0.832382 0.554202i \(-0.813023\pi\)
0.0856891 0.996322i \(-0.472691\pi\)
\(3\) 1.37134 + 1.05803i 0.791743 + 0.610855i
\(4\) −2.44617 + 3.06740i −1.22308 + 1.53370i
\(5\) −3.22503 + 0.994791i −1.44228 + 0.444884i −0.914531 0.404517i \(-0.867440\pi\)
−0.527748 + 0.849401i \(0.676964\pi\)
\(6\) 0.871911 4.12430i 0.355956 1.68374i
\(7\) −0.531380 2.59184i −0.200843 0.979623i
\(8\) 4.56367 + 1.04163i 1.61350 + 0.368271i
\(9\) 0.761139 + 2.90184i 0.253713 + 0.967280i
\(10\) 5.58693 + 6.02128i 1.76674 + 1.90410i
\(11\) 2.38848 + 0.178992i 0.720154 + 0.0539681i 0.429765 0.902941i \(-0.358596\pi\)
0.290389 + 0.956909i \(0.406215\pi\)
\(12\) −6.59993 + 1.61832i −1.90524 + 0.467168i
\(13\) 5.81737 + 0.435952i 1.61345 + 0.120911i 0.850652 0.525728i \(-0.176207\pi\)
0.762796 + 0.646640i \(0.223826\pi\)
\(14\) −5.12219 + 3.90214i −1.36896 + 1.04289i
\(15\) −5.47513 2.04799i −1.41367 0.528789i
\(16\) −0.789054 3.45707i −0.197264 0.864268i
\(17\) −1.47076 + 3.74743i −0.356712 + 0.908886i 0.634053 + 0.773290i \(0.281390\pi\)
−0.990764 + 0.135596i \(0.956705\pi\)
\(18\) 5.55932 4.73330i 1.31034 1.11565i
\(19\) 3.32577 + 1.92013i 0.762984 + 0.440509i 0.830366 0.557218i \(-0.188131\pi\)
−0.0673821 + 0.997727i \(0.521465\pi\)
\(20\) 4.83756 12.3259i 1.08171 2.75615i
\(21\) 2.01355 4.11651i 0.439392 0.898295i
\(22\) −2.12971 5.42641i −0.454055 1.15691i
\(23\) 0.156184 1.03621i 0.0325667 0.216066i −0.966628 0.256183i \(-0.917535\pi\)
0.999195 + 0.0401172i \(0.0127731\pi\)
\(24\) 5.15627 + 6.25694i 1.05252 + 1.27719i
\(25\) 5.28004 3.59987i 1.05601 0.719974i
\(26\) −5.18710 13.2165i −1.01727 2.59197i
\(27\) −2.02646 + 4.78471i −0.389992 + 0.920818i
\(28\) 9.25005 + 4.71012i 1.74810 + 0.890130i
\(29\) 5.17115 + 2.02953i 0.960258 + 0.376874i 0.793124 0.609060i \(-0.208453\pi\)
0.167135 + 0.985934i \(0.446549\pi\)
\(30\) 1.29087 + 14.1684i 0.235680 + 2.58678i
\(31\) 2.94815i 0.529504i 0.964317 + 0.264752i \(0.0852900\pi\)
−0.964317 + 0.264752i \(0.914710\pi\)
\(32\) 0.572221 0.456331i 0.101155 0.0806688i
\(33\) 3.08604 + 2.77255i 0.537210 + 0.482639i
\(34\) 9.77037 0.732188i 1.67560 0.125569i
\(35\) 4.29206 + 7.83016i 0.725490 + 1.32354i
\(36\) −10.7630 4.76367i −1.79383 0.793945i
\(37\) 11.0077 1.65914i 1.80965 0.272761i 0.844709 0.535225i \(-0.179773\pi\)
0.964942 + 0.262464i \(0.0845352\pi\)
\(38\) 0.698459 9.32029i 0.113305 1.51195i
\(39\) 7.51633 + 6.75280i 1.20358 + 1.08131i
\(40\) −15.7542 + 1.18061i −2.49096 + 0.186672i
\(41\) −3.77830 3.50575i −0.590071 0.547506i 0.327616 0.944811i \(-0.393755\pi\)
−0.917687 + 0.397305i \(0.869945\pi\)
\(42\) −11.1528 0.0682852i −1.72092 0.0105366i
\(43\) −2.94822 + 2.73554i −0.449599 + 0.417167i −0.872200 0.489149i \(-0.837307\pi\)
0.422602 + 0.906316i \(0.361117\pi\)
\(44\) −6.39167 + 6.88858i −0.963581 + 1.03849i
\(45\) −5.34142 8.60135i −0.796252 1.28221i
\(46\) −2.43711 + 0.751749i −0.359332 + 0.110839i
\(47\) −2.68897 + 1.29494i −0.392226 + 0.188886i −0.619593 0.784923i \(-0.712702\pi\)
0.227367 + 0.973809i \(0.426988\pi\)
\(48\) 2.57563 5.57566i 0.371760 0.804777i
\(49\) −6.43527 + 2.75451i −0.919324 + 0.393501i
\(50\) −13.4693 7.77652i −1.90485 1.09977i
\(51\) −5.98181 + 3.58289i −0.837621 + 0.501705i
\(52\) −15.5675 + 16.7778i −2.15882 + 2.32666i
\(53\) 1.05930 7.02802i 0.145506 0.965372i −0.790265 0.612765i \(-0.790057\pi\)
0.935771 0.352607i \(-0.114705\pi\)
\(54\) 12.6317 0.609015i 1.71896 0.0828764i
\(55\) −7.88100 + 1.79879i −1.06267 + 0.242548i
\(56\) 0.274689 12.3818i 0.0367069 1.65459i
\(57\) 2.52919 + 6.15192i 0.335000 + 0.814842i
\(58\) −1.01036 13.4823i −0.132667 1.77031i
\(59\) −0.112564 0.493175i −0.0146546 0.0642059i 0.967072 0.254503i \(-0.0819119\pi\)
−0.981727 + 0.190297i \(0.939055\pi\)
\(60\) 19.6751 11.7847i 2.54005 1.52140i
\(61\) −5.84045 + 4.65761i −0.747794 + 0.596345i −0.921466 0.388458i \(-0.873008\pi\)
0.173673 + 0.984803i \(0.444436\pi\)
\(62\) 6.46463 3.11320i 0.821008 0.395377i
\(63\) 7.11665 3.51473i 0.896613 0.442814i
\(64\) −7.99452 3.84996i −0.999315 0.481245i
\(65\) −19.1949 + 4.38111i −2.38083 + 0.543410i
\(66\) 2.82076 9.69474i 0.347212 1.19334i
\(67\) −1.32842 −0.162293 −0.0811463 0.996702i \(-0.525858\pi\)
−0.0811463 + 0.996702i \(0.525858\pi\)
\(68\) −7.89715 13.6783i −0.957670 1.65873i
\(69\) 1.31053 1.25575i 0.157769 0.151175i
\(70\) 12.6374 17.6800i 1.51046 2.11317i
\(71\) 8.15167 + 6.50074i 0.967426 + 0.771496i 0.973547 0.228485i \(-0.0733772\pi\)
−0.00612169 + 0.999981i \(0.501949\pi\)
\(72\) 0.450949 + 14.0359i 0.0531449 + 1.65414i
\(73\) 9.25157 0.693309i 1.08281 0.0811457i 0.478650 0.878006i \(-0.341126\pi\)
0.604164 + 0.796860i \(0.293507\pi\)
\(74\) −15.2620 22.3853i −1.77418 2.60224i
\(75\) 11.0495 + 0.649808i 1.27589 + 0.0750334i
\(76\) −14.0252 + 5.50449i −1.60880 + 0.631408i
\(77\) −0.805274 6.28568i −0.0917694 0.716319i
\(78\) 6.87022 23.6124i 0.777900 2.67358i
\(79\) −6.76236 −0.760825 −0.380412 0.924817i \(-0.624218\pi\)
−0.380412 + 0.924817i \(0.624218\pi\)
\(80\) 5.98379 + 10.3642i 0.669008 + 1.15876i
\(81\) −7.84134 + 4.41740i −0.871260 + 0.490823i
\(82\) −3.69749 + 11.9870i −0.408319 + 1.32374i
\(83\) 1.27459 + 17.0082i 0.139904 + 1.86689i 0.420800 + 0.907153i \(0.361749\pi\)
−0.280896 + 0.959738i \(0.590632\pi\)
\(84\) 7.70149 + 16.2460i 0.840302 + 1.77259i
\(85\) 1.01533 13.5487i 0.110129 1.46956i
\(86\) 9.11169 + 3.57608i 0.982539 + 0.385618i
\(87\) 4.94409 + 8.25441i 0.530062 + 0.884965i
\(88\) 10.7138 + 3.30477i 1.14210 + 0.352290i
\(89\) −4.11475 + 2.80539i −0.436162 + 0.297370i −0.761425 0.648253i \(-0.775500\pi\)
0.325262 + 0.945624i \(0.394547\pi\)
\(90\) −13.2204 + 20.7954i −1.39355 + 2.19203i
\(91\) −1.96132 15.3093i −0.205602 1.60486i
\(92\) 2.79643 + 3.01384i 0.291548 + 0.314214i
\(93\) −3.11924 + 4.04291i −0.323450 + 0.419231i
\(94\) 5.67901 + 4.52886i 0.585745 + 0.467116i
\(95\) −12.6359 2.88405i −1.29641 0.295897i
\(96\) 1.26752 0.0203564i 0.129366 0.00207762i
\(97\) −4.19458 + 2.42174i −0.425895 + 0.245891i −0.697596 0.716491i \(-0.745747\pi\)
0.271701 + 0.962382i \(0.412414\pi\)
\(98\) 12.8355 + 11.2024i 1.29659 + 1.13161i
\(99\) 1.29856 + 7.06723i 0.130510 + 0.710283i
\(100\) −1.87363 + 25.0019i −0.187363 + 2.50019i
\(101\) 8.30631 + 7.70713i 0.826509 + 0.766888i 0.975042 0.222019i \(-0.0712647\pi\)
−0.148533 + 0.988907i \(0.547455\pi\)
\(102\) 14.1732 + 9.33328i 1.40335 + 0.924132i
\(103\) −2.93553 9.51676i −0.289247 0.937714i −0.977265 0.212021i \(-0.931995\pi\)
0.688018 0.725693i \(-0.258481\pi\)
\(104\) 26.0945 + 8.04908i 2.55877 + 0.789277i
\(105\) −2.39869 + 15.2789i −0.234088 + 1.49107i
\(106\) −16.5294 + 5.09866i −1.60548 + 0.495226i
\(107\) −9.73519 14.2789i −0.941136 1.38039i −0.924770 0.380527i \(-0.875743\pi\)
−0.0163661 0.999866i \(-0.505210\pi\)
\(108\) −9.71956 17.9202i −0.935265 1.72437i
\(109\) −4.90010 3.34083i −0.469345 0.319994i 0.305448 0.952209i \(-0.401194\pi\)
−0.774793 + 0.632215i \(0.782146\pi\)
\(110\) 12.2665 + 15.3817i 1.16957 + 1.46659i
\(111\) 16.8507 + 9.37123i 1.59940 + 0.889477i
\(112\) −8.54089 + 3.88212i −0.807038 + 0.366826i
\(113\) 5.95114 + 8.72872i 0.559836 + 0.821129i 0.996931 0.0782868i \(-0.0249450\pi\)
−0.437095 + 0.899415i \(0.643993\pi\)
\(114\) 10.8190 12.0423i 1.01329 1.12786i
\(115\) 0.527118 + 3.49720i 0.0491540 + 0.326116i
\(116\) −18.8749 + 10.8974i −1.75249 + 1.01180i
\(117\) 3.16276 + 17.2129i 0.292398 + 1.59133i
\(118\) −0.962554 + 0.767611i −0.0886103 + 0.0706643i
\(119\) 10.4943 + 1.82066i 0.962009 + 0.166900i
\(120\) −22.8535 15.0494i −2.08623 1.37382i
\(121\) −5.20433 0.784427i −0.473121 0.0713115i
\(122\) 16.3805 + 7.88843i 1.48302 + 0.714185i
\(123\) −1.47213 8.80513i −0.132738 0.793931i
\(124\) −9.04316 7.21168i −0.812100 0.647628i
\(125\) −2.92588 + 3.66894i −0.261699 + 0.328160i
\(126\) −15.2221 11.8937i −1.35609 1.05957i
\(127\) 3.67686 + 4.61063i 0.326268 + 0.409128i 0.917730 0.397206i \(-0.130020\pi\)
−0.591461 + 0.806334i \(0.701449\pi\)
\(128\) 20.1318i 1.77942i
\(129\) −6.93730 + 0.632052i −0.610795 + 0.0556491i
\(130\) 29.8763 + 37.4637i 2.62032 + 3.28578i
\(131\) 14.2662 13.2371i 1.24644 1.15653i 0.265107 0.964219i \(-0.414593\pi\)
0.981334 0.192310i \(-0.0615979\pi\)
\(132\) −16.0535 + 2.68399i −1.39728 + 0.233611i
\(133\) 3.20943 9.64019i 0.278293 0.835910i
\(134\) 1.40279 + 2.91293i 0.121183 + 0.251639i
\(135\) 1.77561 17.4468i 0.152820 1.50158i
\(136\) −10.6155 + 15.5701i −0.910272 + 1.33512i
\(137\) 5.56891 18.0540i 0.475784 1.54245i −0.326314 0.945262i \(-0.605807\pi\)
0.802098 0.597193i \(-0.203717\pi\)
\(138\) −4.13748 1.54764i −0.352206 0.131744i
\(139\) −10.9195 + 11.7684i −0.926177 + 0.998181i 0.0738226 + 0.997271i \(0.476480\pi\)
−1.00000 0.000910049i \(0.999710\pi\)
\(140\) −34.5173 5.98844i −2.91725 0.506115i
\(141\) −5.05757 1.06921i −0.425924 0.0900439i
\(142\) 5.64662 24.7394i 0.473853 2.07609i
\(143\) 13.8167 + 2.08253i 1.15541 + 0.174150i
\(144\) 9.43129 4.92102i 0.785941 0.410085i
\(145\) −18.6961 1.40108i −1.55263 0.116353i
\(146\) −11.2898 19.5545i −0.934348 1.61834i
\(147\) −11.7393 3.03136i −0.968240 0.250022i
\(148\) −21.8374 + 37.8235i −1.79502 + 3.10907i
\(149\) −0.789582 + 1.15810i −0.0646851 + 0.0948756i −0.857218 0.514953i \(-0.827809\pi\)
0.792533 + 0.609829i \(0.208762\pi\)
\(150\) −10.2432 24.9152i −0.836354 2.03432i
\(151\) −4.34575 11.0728i −0.353652 0.901091i −0.991402 0.130848i \(-0.958230\pi\)
0.637750 0.770243i \(-0.279865\pi\)
\(152\) 13.1777 + 12.2271i 1.06885 + 0.991748i
\(153\) −11.9939 1.41559i −0.969649 0.114444i
\(154\) −12.9327 + 8.40335i −1.04215 + 0.677161i
\(155\) −2.93280 9.50789i −0.235568 0.763692i
\(156\) −39.0997 + 6.53711i −3.13049 + 0.523387i
\(157\) 19.9522 4.55396i 1.59236 0.363445i 0.667757 0.744380i \(-0.267255\pi\)
0.924602 + 0.380934i \(0.124398\pi\)
\(158\) 7.14094 + 14.8283i 0.568103 + 1.17968i
\(159\) 8.88853 8.51701i 0.704906 0.675443i
\(160\) −1.39148 + 2.04093i −0.110006 + 0.161349i
\(161\) −2.76870 + 0.145819i −0.218204 + 0.0114922i
\(162\) 17.9667 + 12.5296i 1.41160 + 0.984415i
\(163\) −1.23034 0.379509i −0.0963675 0.0297255i 0.246196 0.969220i \(-0.420819\pi\)
−0.342564 + 0.939494i \(0.611295\pi\)
\(164\) 19.9959 3.01389i 1.56142 0.235346i
\(165\) −12.7107 5.87160i −0.989525 0.457103i
\(166\) 35.9491 20.7553i 2.79019 1.61092i
\(167\) 13.9914 2.10887i 1.08269 0.163189i 0.416621 0.909080i \(-0.363214\pi\)
0.666068 + 0.745891i \(0.267976\pi\)
\(168\) 13.4770 16.6890i 1.03978 1.28759i
\(169\) 20.7969 + 3.13463i 1.59976 + 0.241126i
\(170\) −30.7814 + 12.0808i −2.36082 + 0.926555i
\(171\) −3.04055 + 11.1123i −0.232517 + 0.849782i
\(172\) −1.17917 15.7350i −0.0899110 1.19978i
\(173\) 0.604747 0.758329i 0.0459781 0.0576547i −0.758311 0.651893i \(-0.773975\pi\)
0.804289 + 0.594239i \(0.202546\pi\)
\(174\) 12.8792 19.5578i 0.976366 1.48267i
\(175\) −12.1360 11.7721i −0.917395 0.889889i
\(176\) −1.26585 8.39839i −0.0954173 0.633052i
\(177\) 0.367431 0.795405i 0.0276178 0.0597863i
\(178\) 10.4967 + 6.06026i 0.786759 + 0.454236i
\(179\) 3.18168 + 1.24872i 0.237810 + 0.0933336i 0.481253 0.876582i \(-0.340182\pi\)
−0.243443 + 0.969915i \(0.578277\pi\)
\(180\) 39.4498 + 4.65610i 2.94041 + 0.347045i
\(181\) 8.19476 17.0166i 0.609112 1.26483i −0.337156 0.941449i \(-0.609465\pi\)
0.946268 0.323385i \(-0.104821\pi\)
\(182\) −31.4988 + 20.4671i −2.33485 + 1.51713i
\(183\) −12.9371 + 0.207771i −0.956340 + 0.0153589i
\(184\) 1.79213 4.56626i 0.132117 0.336629i
\(185\) −33.8496 + 16.3011i −2.48867 + 1.19848i
\(186\) 12.1591 + 2.57053i 0.891545 + 0.188480i
\(187\) −4.18364 + 8.68742i −0.305938 + 0.635287i
\(188\) 2.60557 11.4158i 0.190031 0.832580i
\(189\) 13.4780 + 2.70975i 0.980382 + 0.197106i
\(190\) 7.01919 + 30.7531i 0.509225 + 2.23106i
\(191\) −17.3709 3.96480i −1.25691 0.286883i −0.458339 0.888777i \(-0.651556\pi\)
−0.798575 + 0.601895i \(0.794413\pi\)
\(192\) −6.88981 13.7380i −0.497229 0.991458i
\(193\) 1.49613 6.55499i 0.107694 0.471839i −0.892106 0.451827i \(-0.850772\pi\)
0.999800 0.0200118i \(-0.00637038\pi\)
\(194\) 9.73974 + 6.64044i 0.699272 + 0.476756i
\(195\) −30.9581 14.3008i −2.21695 1.02410i
\(196\) 7.29259 26.4775i 0.520899 1.89125i
\(197\) 8.28891i 0.590561i −0.955411 0.295280i \(-0.904587\pi\)
0.955411 0.295280i \(-0.0954130\pi\)
\(198\) 14.1256 10.3103i 1.00386 0.732723i
\(199\) 2.43911 + 7.90739i 0.172904 + 0.560540i 0.999999 0.00152198i \(-0.000484460\pi\)
−0.827095 + 0.562062i \(0.810008\pi\)
\(200\) 27.8461 10.9288i 1.96902 0.772782i
\(201\) −1.82172 1.40551i −0.128494 0.0991372i
\(202\) 8.12866 26.3525i 0.571930 1.85415i
\(203\) 2.51236 14.4812i 0.176333 1.01638i
\(204\) 3.64237 27.1130i 0.255017 1.89829i
\(205\) 15.6726 + 7.54754i 1.09462 + 0.527143i
\(206\) −17.7682 + 16.4865i −1.23797 + 1.14867i
\(207\) 3.12581 0.335482i 0.217259 0.0233176i
\(208\) −3.08310 20.4551i −0.213775 1.41830i
\(209\) 7.59985 + 5.18149i 0.525693 + 0.358411i
\(210\) 36.0362 10.8745i 2.48673 0.750413i
\(211\) −8.09922 + 5.52196i −0.557574 + 0.380147i −0.809071 0.587711i \(-0.800029\pi\)
0.251498 + 0.967858i \(0.419077\pi\)
\(212\) 18.9665 + 20.4410i 1.30262 + 1.40390i
\(213\) 4.30071 + 17.5394i 0.294680 + 1.20178i
\(214\) −21.0302 + 36.4253i −1.43759 + 2.48998i
\(215\) 6.78680 11.7551i 0.462856 0.801690i
\(216\) −14.2320 + 19.7250i −0.968364 + 1.34212i
\(217\) 7.64114 1.56659i 0.518714 0.106347i
\(218\) −2.15126 + 14.2727i −0.145702 + 0.966667i
\(219\) 13.4206 + 8.83769i 0.906878 + 0.597196i
\(220\) 13.7607 28.5743i 0.927743 1.92648i
\(221\) −10.1897 + 21.1590i −0.685430 + 1.42331i
\(222\) 2.75493 46.8455i 0.184899 3.14407i
\(223\) 0.809201 5.36870i 0.0541881 0.359515i −0.945261 0.326316i \(-0.894193\pi\)
0.999449 0.0331984i \(-0.0105693\pi\)
\(224\) −1.48681 1.24062i −0.0993413 0.0828925i
\(225\) 14.4651 + 12.5818i 0.964339 + 0.838788i
\(226\) 12.8558 22.2669i 0.855154 1.48117i
\(227\) −7.91492 + 13.7090i −0.525332 + 0.909901i 0.474233 + 0.880399i \(0.342725\pi\)
−0.999565 + 0.0295017i \(0.990608\pi\)
\(228\) −25.0572 7.29060i −1.65946 0.482832i
\(229\) −11.3290 12.2098i −0.748642 0.806844i 0.237738 0.971329i \(-0.423594\pi\)
−0.986379 + 0.164486i \(0.947404\pi\)
\(230\) 7.11193 4.84883i 0.468947 0.319723i
\(231\) 5.54614 9.47179i 0.364909 0.623198i
\(232\) 21.4854 + 14.6485i 1.41059 + 0.961722i
\(233\) 1.55186 + 10.2959i 0.101666 + 0.674507i 0.980374 + 0.197148i \(0.0631679\pi\)
−0.878708 + 0.477359i \(0.841594\pi\)
\(234\) 34.4041 25.1117i 2.24907 1.64161i
\(235\) 7.38381 6.85118i 0.481667 0.446921i
\(236\) 1.78811 + 0.861110i 0.116396 + 0.0560535i
\(237\) −9.27348 7.15479i −0.602377 0.464753i
\(238\) −7.08949 24.9342i −0.459544 1.61624i
\(239\) 3.39727 11.0137i 0.219751 0.712416i −0.776824 0.629718i \(-0.783170\pi\)
0.996575 0.0826974i \(-0.0263535\pi\)
\(240\) −2.75988 + 20.5439i −0.178149 + 1.32610i
\(241\) −9.02510 + 3.54209i −0.581358 + 0.228166i −0.637751 0.770243i \(-0.720135\pi\)
0.0563933 + 0.998409i \(0.482040\pi\)
\(242\) 3.77562 + 12.2403i 0.242706 + 0.786833i
\(243\) −15.4269 2.23863i −0.989635 0.143608i
\(244\) 29.3083i 1.87627i
\(245\) 18.0138 15.2851i 1.15086 0.976531i
\(246\) −17.7531 + 12.5261i −1.13190 + 0.798636i
\(247\) 18.5102 + 12.6200i 1.17777 + 0.802992i
\(248\) −3.07088 + 13.4544i −0.195001 + 0.854356i
\(249\) −16.2473 + 24.6725i −1.02963 + 1.56356i
\(250\) 11.1348 + 2.54145i 0.704228 + 0.160735i
\(251\) 0.0790384 + 0.346290i 0.00498886 + 0.0218576i 0.977361 0.211578i \(-0.0678603\pi\)
−0.972372 + 0.233436i \(0.925003\pi\)
\(252\) −6.62745 + 30.4272i −0.417490 + 1.91673i
\(253\) 0.558518 2.44703i 0.0351137 0.153843i
\(254\) 6.22737 12.9313i 0.390740 0.811380i
\(255\) 15.7273 17.5056i 0.984883 1.09624i
\(256\) 28.1555 13.5590i 1.75972 0.847436i
\(257\) 5.32283 13.5623i 0.332029 0.845996i −0.663201 0.748441i \(-0.730803\pi\)
0.995230 0.0975547i \(-0.0311021\pi\)
\(258\) 8.71162 + 14.5445i 0.542361 + 0.905499i
\(259\) −10.1495 27.6485i −0.630659 1.71799i
\(260\) 33.5153 69.5953i 2.07853 4.31612i
\(261\) −1.95340 + 16.5506i −0.120912 + 1.02446i
\(262\) −44.0907 17.3043i −2.72393 1.06907i
\(263\) −20.3496 11.7488i −1.25481 0.724465i −0.282749 0.959194i \(-0.591246\pi\)
−0.972061 + 0.234729i \(0.924580\pi\)
\(264\) 11.1957 + 15.8675i 0.689048 + 0.976578i
\(265\) 3.57512 + 23.7194i 0.219618 + 1.45707i
\(266\) −24.5278 + 3.14232i −1.50390 + 0.192668i
\(267\) −8.61090 0.506397i −0.526978 0.0309910i
\(268\) 3.24954 4.07480i 0.198498 0.248908i
\(269\) 0.661142 + 8.82233i 0.0403106 + 0.537907i 0.980405 + 0.196993i \(0.0631176\pi\)
−0.940094 + 0.340914i \(0.889263\pi\)
\(270\) −40.1318 + 14.5300i −2.44234 + 0.884267i
\(271\) 8.20495 3.22021i 0.498415 0.195614i −0.102798 0.994702i \(-0.532779\pi\)
0.601213 + 0.799089i \(0.294684\pi\)
\(272\) 14.1157 + 2.12759i 0.855888 + 0.129004i
\(273\) 13.5081 23.0694i 0.817550 1.39623i
\(274\) −45.4689 + 6.85334i −2.74688 + 0.414025i
\(275\) 13.2556 7.65314i 0.799345 0.461502i
\(276\) 0.646120 + 7.09170i 0.0388919 + 0.426870i
\(277\) −8.59885 + 1.29607i −0.516655 + 0.0778732i −0.402194 0.915554i \(-0.631752\pi\)
−0.114461 + 0.993428i \(0.536514\pi\)
\(278\) 37.3362 + 11.5167i 2.23927 + 0.690725i
\(279\) −8.55506 + 2.24395i −0.512178 + 0.134342i
\(280\) 11.4314 + 40.2050i 0.683159 + 2.40271i
\(281\) 5.40252 7.92405i 0.322288 0.472709i −0.630568 0.776134i \(-0.717178\pi\)
0.952855 + 0.303425i \(0.0981303\pi\)
\(282\) 2.99617 + 12.2192i 0.178419 + 0.727640i
\(283\) −8.34524 17.3291i −0.496073 1.03011i −0.987269 0.159057i \(-0.949155\pi\)
0.491196 0.871049i \(-0.336560\pi\)
\(284\) −39.8807 + 9.10252i −2.36649 + 0.540135i
\(285\) −14.2766 17.3241i −0.845674 1.02619i
\(286\) −10.0237 32.4959i −0.592711 1.92152i
\(287\) −7.07863 + 11.6556i −0.417838 + 0.688010i
\(288\) 1.75974 + 1.31316i 0.103694 + 0.0773789i
\(289\) 0.581754 + 0.539789i 0.0342208 + 0.0317523i
\(290\) 16.6705 + 42.4758i 0.978926 + 2.49426i
\(291\) −8.31447 1.11697i −0.487403 0.0654779i
\(292\) −20.5042 + 30.0742i −1.19992 + 1.75996i
\(293\) −11.6475 + 20.1740i −0.680453 + 1.17858i 0.294390 + 0.955685i \(0.404884\pi\)
−0.974843 + 0.222894i \(0.928450\pi\)
\(294\) 5.74941 + 28.9426i 0.335312 + 1.68797i
\(295\) 0.853628 + 1.47853i 0.0497002 + 0.0860832i
\(296\) 51.9637 + 3.89414i 3.02033 + 0.226342i
\(297\) −5.69658 + 11.0655i −0.330549 + 0.642084i
\(298\) 3.37324 + 0.508435i 0.195407 + 0.0294528i
\(299\) 1.36032 5.95996i 0.0786694 0.344673i
\(300\) −29.0222 + 32.3037i −1.67560 + 1.86505i
\(301\) 8.65672 + 6.18769i 0.498965 + 0.356653i
\(302\) −19.6911 + 21.2219i −1.13309 + 1.22118i
\(303\) 3.23638 + 19.3574i 0.185925 + 1.11206i
\(304\) 4.01383 13.0125i 0.230209 0.746319i
\(305\) 14.2023 20.8310i 0.813222 1.19278i
\(306\) 9.56129 + 27.7947i 0.546583 + 1.58892i
\(307\) 0.264541 + 0.549326i 0.0150982 + 0.0313517i 0.908382 0.418142i \(-0.137319\pi\)
−0.893283 + 0.449494i \(0.851604\pi\)
\(308\) 21.2505 + 12.9057i 1.21086 + 0.735372i
\(309\) 6.04343 16.1566i 0.343799 0.919116i
\(310\) −17.7517 + 16.4711i −1.00823 + 0.935497i
\(311\) −14.4346 18.1004i −0.818510 1.02638i −0.999083 0.0428179i \(-0.986366\pi\)
0.180572 0.983562i \(-0.442205\pi\)
\(312\) 27.2682 + 38.6468i 1.54376 + 2.18794i
\(313\) 26.9852i 1.52530i 0.646814 + 0.762648i \(0.276101\pi\)
−0.646814 + 0.762648i \(0.723899\pi\)
\(314\) −31.0550 38.9417i −1.75253 2.19761i
\(315\) −19.4550 + 18.4147i −1.09617 + 1.03755i
\(316\) 16.5419 20.7429i 0.930553 1.16688i
\(317\) −4.53612 3.61744i −0.254774 0.203175i 0.487771 0.872972i \(-0.337810\pi\)
−0.742545 + 0.669796i \(0.766381\pi\)
\(318\) −28.0620 10.4967i −1.57364 0.588625i
\(319\) 11.9879 + 5.77308i 0.671195 + 0.323231i
\(320\) 29.6125 + 4.46337i 1.65539 + 0.249510i
\(321\) 1.75729 29.8813i 0.0980822 1.66781i
\(322\) 3.24345 + 5.91714i 0.180750 + 0.329749i
\(323\) −12.0870 + 9.63905i −0.672538 + 0.536331i
\(324\) 5.63130 34.8582i 0.312850 1.93657i
\(325\) 32.2853 18.6399i 1.79087 1.03396i
\(326\) 0.467040 + 3.09861i 0.0258669 + 0.171616i
\(327\) −3.18499 9.76588i −0.176130 0.540054i
\(328\) −13.5912 19.9347i −0.750450 1.10071i
\(329\) 4.78513 + 6.28126i 0.263813 + 0.346297i
\(330\) 0.547196 + 34.0719i 0.0301222 + 1.87560i
\(331\) −17.2656 21.6503i −0.949001 1.19001i −0.981679 0.190544i \(-0.938975\pi\)
0.0326779 0.999466i \(-0.489596\pi\)
\(332\) −55.2888 37.6952i −3.03437 2.06880i
\(333\) 13.1929 + 30.6797i 0.722968 + 1.68124i
\(334\) −19.3990 28.4531i −1.06147 1.55688i
\(335\) 4.28421 1.32150i 0.234071 0.0722014i
\(336\) −15.8199 3.71283i −0.863044 0.202551i
\(337\) 28.7321 + 8.86267i 1.56514 + 0.482780i 0.951717 0.306978i \(-0.0993177\pi\)
0.613418 + 0.789758i \(0.289794\pi\)
\(338\) −15.0877 48.9131i −0.820662 2.66052i
\(339\) −1.07423 + 18.2665i −0.0583443 + 0.992101i
\(340\) 39.0756 + 36.2568i 2.11917 + 1.96630i
\(341\) −0.527696 + 7.04161i −0.0285763 + 0.381324i
\(342\) 27.5776 5.06721i 1.49123 0.274004i
\(343\) 10.5588 + 15.2155i 0.570122 + 0.821560i
\(344\) −16.3041 + 9.41319i −0.879059 + 0.507525i
\(345\) −2.97729 + 5.35355i −0.160292 + 0.288226i
\(346\) −2.30144 0.525290i −0.123726 0.0282397i
\(347\) −1.47662 1.17757i −0.0792694 0.0632152i 0.583053 0.812434i \(-0.301858\pi\)
−0.662323 + 0.749219i \(0.730429\pi\)
\(348\) −37.4137 5.02617i −2.00558 0.269431i
\(349\) −0.133869 0.144277i −0.00716586 0.00772296i 0.729459 0.684025i \(-0.239772\pi\)
−0.736625 + 0.676302i \(0.763582\pi\)
\(350\) −12.9982 + 39.0426i −0.694781 + 2.08692i
\(351\) −13.8746 + 26.9510i −0.740569 + 1.43854i
\(352\) 1.44842 0.987516i 0.0772011 0.0526348i
\(353\) 31.3965 + 9.68455i 1.67107 + 0.515457i 0.978562 0.205954i \(-0.0660296\pi\)
0.692508 + 0.721410i \(0.256506\pi\)
\(354\) −2.13214 + 0.0342423i −0.113322 + 0.00181996i
\(355\) −32.7563 12.8559i −1.73852 0.682321i
\(356\) 1.46013 19.4840i 0.0773865 1.03265i
\(357\) 12.4649 + 13.6000i 0.659712 + 0.719790i
\(358\) −0.621649 8.29533i −0.0328552 0.438422i
\(359\) 5.75568 18.6594i 0.303773 0.984808i −0.667051 0.745012i \(-0.732443\pi\)
0.970823 0.239795i \(-0.0770803\pi\)
\(360\) −15.4171 44.8176i −0.812552 2.36209i
\(361\) −2.12617 3.68263i −0.111904 0.193823i
\(362\) −45.9670 −2.41597
\(363\) −6.30695 6.58206i −0.331029 0.345469i
\(364\) 51.7576 + 31.4331i 2.71284 + 1.64754i
\(365\) −29.1469 + 11.4393i −1.52562 + 0.598762i
\(366\) 14.1170 + 28.1488i 0.737907 + 1.47136i
\(367\) 4.95159 + 7.26265i 0.258471 + 0.379107i 0.933437 0.358742i \(-0.116794\pi\)
−0.674966 + 0.737849i \(0.735842\pi\)
\(368\) −3.70551 + 0.277689i −0.193163 + 0.0144756i
\(369\) 7.29731 13.6324i 0.379883 0.709673i
\(370\) 71.4893 + 57.0108i 3.71655 + 2.96385i
\(371\) −18.7784 + 0.989005i −0.974925 + 0.0513466i
\(372\) −4.77105 19.4576i −0.247367 1.00883i
\(373\) 2.80972 + 4.86658i 0.145482 + 0.251982i 0.929553 0.368689i \(-0.120193\pi\)
−0.784071 + 0.620672i \(0.786860\pi\)
\(374\) 23.4674 1.21347
\(375\) −7.89422 + 1.93568i −0.407656 + 0.0999582i
\(376\) −13.6204 + 3.10877i −0.702419 + 0.160322i
\(377\) 29.1977 + 14.0609i 1.50376 + 0.724172i
\(378\) −8.29070 32.4157i −0.426428 1.66728i
\(379\) −25.6515 + 12.3531i −1.31763 + 0.634538i −0.954781 0.297310i \(-0.903911\pi\)
−0.362850 + 0.931848i \(0.618196\pi\)
\(380\) 39.7560 31.7043i 2.03944 1.62640i
\(381\) 0.164021 + 10.2130i 0.00840303 + 0.523226i
\(382\) 9.64949 + 42.2772i 0.493711 + 2.16309i
\(383\) 0.778433 + 10.3875i 0.0397761 + 0.530775i 0.981129 + 0.193352i \(0.0619360\pi\)
−0.941353 + 0.337422i \(0.890445\pi\)
\(384\) −21.3001 + 27.6076i −1.08697 + 1.40884i
\(385\) 8.84997 + 19.4704i 0.451036 + 0.992306i
\(386\) −15.9535 + 3.64128i −0.812012 + 0.185336i
\(387\) −10.1821 6.47312i −0.517586 0.329047i
\(388\) 2.83220 18.7904i 0.143783 0.953940i
\(389\) −5.21912 + 5.62487i −0.264620 + 0.285192i −0.851359 0.524584i \(-0.824221\pi\)
0.586739 + 0.809776i \(0.300411\pi\)
\(390\) 1.33275 + 82.9854i 0.0674863 + 4.20213i
\(391\) 3.65344 + 2.10931i 0.184762 + 0.106673i
\(392\) −32.2376 + 5.86750i −1.62825 + 0.296354i
\(393\) 33.5690 3.05845i 1.69333 0.154278i
\(394\) −18.1757 + 8.75296i −0.915679 + 0.440968i
\(395\) 21.8088 6.72714i 1.09732 0.338479i
\(396\) −24.8545 13.3044i −1.24899 0.668573i
\(397\) −13.9909 + 15.0786i −0.702184 + 0.756775i −0.978936 0.204167i \(-0.934552\pi\)
0.276752 + 0.960941i \(0.410742\pi\)
\(398\) 14.7634 13.6985i 0.740025 0.686643i
\(399\) 14.6008 9.82428i 0.730956 0.491829i
\(400\) −16.6113 15.4130i −0.830563 0.770649i
\(401\) 2.70535 0.202738i 0.135099 0.0101242i −0.00700913 0.999975i \(-0.502231\pi\)
0.142108 + 0.989851i \(0.454612\pi\)
\(402\) −1.15827 + 5.47881i −0.0577691 + 0.273258i
\(403\) −1.28525 + 17.1505i −0.0640229 + 0.854327i
\(404\) −43.9595 + 6.62583i −2.18707 + 0.329647i
\(405\) 20.8942 22.0468i 1.03824 1.09551i
\(406\) −34.4071 + 9.78292i −1.70759 + 0.485518i
\(407\) 26.5886 1.99254i 1.31795 0.0987666i
\(408\) −31.0311 + 10.1203i −1.53627 + 0.501030i
\(409\) −10.2074 + 8.14017i −0.504726 + 0.402505i −0.842479 0.538729i \(-0.818905\pi\)
0.337753 + 0.941235i \(0.390333\pi\)
\(410\) 42.3366i 2.09085i
\(411\) 26.7385 18.8660i 1.31891 0.930592i
\(412\) 36.3725 + 14.2752i 1.79195 + 0.703287i
\(413\) −1.21842 + 0.553811i −0.0599543 + 0.0272512i
\(414\) −4.03643 6.49992i −0.198380 0.319454i
\(415\) −21.0302 53.5841i −1.03233 2.63034i
\(416\) 3.52776 2.40519i 0.172963 0.117924i
\(417\) −27.4256 + 4.58530i −1.34304 + 0.224543i
\(418\) 3.33651 22.1363i 0.163194 1.08272i
\(419\) −10.5015 26.7574i −0.513033 1.30719i −0.919345 0.393452i \(-0.871281\pi\)
0.406312 0.913734i \(-0.366815\pi\)
\(420\) −40.9990 44.7326i −2.00055 2.18273i
\(421\) 1.54996 3.94923i 0.0755403 0.192474i −0.888116 0.459620i \(-0.847986\pi\)
0.963656 + 0.267147i \(0.0860808\pi\)
\(422\) 20.6610 + 11.9287i 1.00576 + 0.580678i
\(423\) −5.80437 6.81732i −0.282218 0.331469i
\(424\) 12.1549 30.9702i 0.590294 1.50404i
\(425\) 5.72461 + 25.0811i 0.277684 + 1.21661i
\(426\) 33.9185 27.9518i 1.64336 1.35427i
\(427\) 15.1753 + 12.6626i 0.734383 + 0.612784i
\(428\) 67.6130 + 5.06689i 3.26820 + 0.244917i
\(429\) 16.7439 + 17.4743i 0.808405 + 0.843667i
\(430\) −32.9430 2.46873i −1.58865 0.119053i
\(431\) 22.5985 + 24.3553i 1.08853 + 1.17316i 0.983914 + 0.178643i \(0.0571706\pi\)
0.104615 + 0.994513i \(0.466639\pi\)
\(432\) 18.1401 + 3.23022i 0.872765 + 0.155414i
\(433\) −36.5641 8.34553i −1.75716 0.401060i −0.782127 0.623119i \(-0.785865\pi\)
−0.975033 + 0.222059i \(0.928722\pi\)
\(434\) −11.5041 15.1010i −0.552214 0.724870i
\(435\) −24.1563 21.7024i −1.15821 1.04055i
\(436\) 22.2341 6.85833i 1.06482 0.328454i
\(437\) 2.50910 3.14632i 0.120027 0.150509i
\(438\) 5.20713 38.7607i 0.248807 1.85206i
\(439\) 7.12425 + 14.7937i 0.340022 + 0.706063i 0.998934 0.0461570i \(-0.0146974\pi\)
−0.658912 + 0.752220i \(0.728983\pi\)
\(440\) −37.8400 −1.80395
\(441\) −12.8913 16.5776i −0.613870 0.789407i
\(442\) 57.1570 2.71868
\(443\) 1.10341 + 2.29126i 0.0524248 + 0.108861i 0.925536 0.378661i \(-0.123615\pi\)
−0.873111 + 0.487522i \(0.837901\pi\)
\(444\) −69.9649 + 28.7641i −3.32039 + 1.36509i
\(445\) 10.4794 13.1408i 0.496772 0.622933i
\(446\) −12.6268 + 3.89486i −0.597898 + 0.184427i
\(447\) −2.30809 + 0.752750i −0.109169 + 0.0356039i
\(448\) −5.73034 + 22.7663i −0.270733 + 1.07561i
\(449\) −0.968849 0.221134i −0.0457228 0.0104359i 0.199598 0.979878i \(-0.436036\pi\)
−0.245321 + 0.969442i \(0.578893\pi\)
\(450\) 12.3142 45.0048i 0.580496 2.12155i
\(451\) −8.39690 9.04970i −0.395394 0.426134i
\(452\) −41.3319 3.09740i −1.94409 0.145689i
\(453\) 5.75587 19.7825i 0.270434 0.929462i
\(454\) 38.4188 + 2.87909i 1.80308 + 0.135123i
\(455\) 21.5549 + 47.4221i 1.01051 + 2.22318i
\(456\) 5.13440 + 30.7099i 0.240440 + 1.43812i
\(457\) 0.0584121 + 0.255920i 0.00273240 + 0.0119714i 0.976276 0.216531i \(-0.0694742\pi\)
−0.973543 + 0.228502i \(0.926617\pi\)
\(458\) −14.8100 + 37.7352i −0.692025 + 1.76325i
\(459\) −14.9500 14.6312i −0.697804 0.682925i
\(460\) −12.0167 6.93786i −0.560283 0.323479i
\(461\) 3.89576 9.92624i 0.181444 0.462311i −0.810995 0.585053i \(-0.801074\pi\)
0.992439 + 0.122742i \(0.0391688\pi\)
\(462\) −26.6261 2.15937i −1.23876 0.100463i
\(463\) −8.95646 22.8207i −0.416242 1.06057i −0.973186 0.230018i \(-0.926122\pi\)
0.556944 0.830550i \(-0.311974\pi\)
\(464\) 2.93590 19.4784i 0.136296 0.904264i
\(465\) 6.03779 16.1415i 0.279996 0.748545i
\(466\) 20.9378 14.2752i 0.969927 0.661285i
\(467\) 6.83896 + 17.4254i 0.316469 + 0.806351i 0.997267 + 0.0738794i \(0.0235380\pi\)
−0.680798 + 0.732471i \(0.738367\pi\)
\(468\) −60.5355 32.4042i −2.79825 1.49788i
\(469\) 0.705897 + 3.44306i 0.0325953 + 0.158986i
\(470\) −22.8203 8.95629i −1.05262 0.413123i
\(471\) 32.1794 + 14.8650i 1.48275 + 0.684945i
\(472\) 2.36794i 0.108993i
\(473\) −7.53140 + 6.00609i −0.346294 + 0.276160i
\(474\) −5.89618 + 27.8900i −0.270820 + 1.28103i
\(475\) 24.4724 1.83396i 1.12287 0.0841477i
\(476\) −31.2555 + 27.7365i −1.43259 + 1.27130i
\(477\) 21.2004 2.27537i 0.970702 0.104182i
\(478\) −27.7380 + 4.18082i −1.26870 + 0.191226i
\(479\) 2.41244 32.1918i 0.110227 1.47088i −0.618341 0.785910i \(-0.712195\pi\)
0.728569 0.684973i \(-0.240186\pi\)
\(480\) −4.06755 + 1.32657i −0.185657 + 0.0605494i
\(481\) 64.7590 4.85302i 2.95276 0.221279i
\(482\) 17.2974 + 16.0496i 0.787873 + 0.731039i
\(483\) −3.95110 2.72940i −0.179781 0.124192i
\(484\) 15.1368 14.0449i 0.688037 0.638405i
\(485\) 11.1185 11.9829i 0.504867 0.544117i
\(486\) 11.3817 + 36.1916i 0.516286 + 1.64168i
\(487\) −11.0800 + 3.41774i −0.502084 + 0.154872i −0.535444 0.844571i \(-0.679856\pi\)
0.0333595 + 0.999443i \(0.489379\pi\)
\(488\) −31.5054 + 15.1722i −1.42618 + 0.686814i
\(489\) −1.28568 1.82217i −0.0581404 0.0824015i
\(490\) −52.5391 23.3593i −2.37347 1.05527i
\(491\) −0.559753 0.323174i −0.0252613 0.0145846i 0.487316 0.873226i \(-0.337976\pi\)
−0.512577 + 0.858641i \(0.671309\pi\)
\(492\) 30.6099 + 17.0232i 1.38000 + 0.767465i
\(493\) −15.2110 + 16.3936i −0.685071 + 0.738330i
\(494\) 8.12639 53.9151i 0.365623 2.42575i
\(495\) −11.2183 21.5003i −0.504226 0.966365i
\(496\) 10.1920 2.32625i 0.457633 0.104452i
\(497\) 12.5172 24.5822i 0.561475 1.10266i
\(498\) 71.2582 + 9.57286i 3.19315 + 0.428970i
\(499\) −1.32456 17.6750i −0.0592953 0.791241i −0.945016 0.327023i \(-0.893955\pi\)
0.885721 0.464218i \(-0.153664\pi\)
\(500\) −4.09690 17.9497i −0.183219 0.802734i
\(501\) 21.4182 + 11.9114i 0.956896 + 0.532162i
\(502\) 0.675872 0.538990i 0.0301656 0.0240563i
\(503\) −10.0157 + 4.82330i −0.446578 + 0.215061i −0.643637 0.765331i \(-0.722575\pi\)
0.197059 + 0.980392i \(0.436861\pi\)
\(504\) 36.1391 8.62717i 1.60976 0.384285i
\(505\) −34.4551 16.5927i −1.53323 0.738366i
\(506\) −5.95555 + 1.35932i −0.264757 + 0.0604290i
\(507\) 25.2031 + 26.3025i 1.11931 + 1.16813i
\(508\) −23.1369 −1.02653
\(509\) −6.27382 10.8666i −0.278082 0.481652i 0.692826 0.721105i \(-0.256365\pi\)
−0.970908 + 0.239452i \(0.923032\pi\)
\(510\) −54.9936 16.0008i −2.43516 0.708528i
\(511\) −6.71305 23.6102i −0.296968 1.04445i
\(512\) −27.9841 22.3166i −1.23673 0.986262i
\(513\) −15.9268 + 12.0218i −0.703186 + 0.530775i
\(514\) −35.3599 + 2.64986i −1.55966 + 0.116880i
\(515\) 18.9344 + 27.7716i 0.834349 + 1.22376i
\(516\) 15.0310 22.8256i 0.661705 1.00484i
\(517\) −6.65433 + 2.61163i −0.292657 + 0.114859i
\(518\) −49.9092 + 51.4519i −2.19288 + 2.26067i
\(519\) 1.63165 0.400084i 0.0716214 0.0175617i
\(520\) −92.1627 −4.04160
\(521\) −12.4877 21.6294i −0.547097 0.947599i −0.998472 0.0552650i \(-0.982400\pi\)
0.451375 0.892334i \(-0.350934\pi\)
\(522\) 38.3544 13.1938i 1.67873 0.577477i
\(523\) 3.88554 12.5966i 0.169903 0.550811i −0.830074 0.557654i \(-0.811702\pi\)
0.999977 + 0.00684222i \(0.00217796\pi\)
\(524\) 5.70592 + 76.1402i 0.249264 + 3.32620i
\(525\) −4.18729 28.9838i −0.182748 1.26496i
\(526\) −4.27370 + 57.0286i −0.186342 + 2.48657i
\(527\) −11.0480 4.33602i −0.481259 0.188880i
\(528\) 7.14985 12.8563i 0.311157 0.559501i
\(529\) 20.9288 + 6.45569i 0.909949 + 0.280682i
\(530\) 48.2359 32.8867i 2.09523 1.42851i
\(531\) 1.34544 0.702016i 0.0583870 0.0304649i
\(532\) 21.7195 + 33.4261i 0.941659 + 1.44921i
\(533\) −20.4514 22.0414i −0.885849 0.954719i
\(534\) 7.98255 + 19.4165i 0.345439 + 0.840233i
\(535\) 45.6008 + 36.3654i 1.97150 + 1.57222i
\(536\) −6.06249 1.38372i −0.261859 0.0597677i
\(537\) 3.04198 + 5.07874i 0.131271 + 0.219164i
\(538\) 18.6472 10.7660i 0.803938 0.464154i
\(539\) −15.8636 + 5.42722i −0.683292 + 0.233767i
\(540\) 49.1727 + 48.1242i 2.11606 + 2.07094i
\(541\) 0.784599 10.4697i 0.0337325 0.450129i −0.954607 0.297867i \(-0.903725\pi\)
0.988340 0.152263i \(-0.0486560\pi\)
\(542\) −15.7255 14.5911i −0.675467 0.626742i
\(543\) 29.2419 14.6652i 1.25489 0.629344i
\(544\) 0.868472 + 2.81552i 0.0372354 + 0.120714i
\(545\) 19.1264 + 5.89972i 0.819286 + 0.252716i
\(546\) −64.8504 5.25934i −2.77534 0.225079i
\(547\) −15.2096 + 4.69153i −0.650315 + 0.200596i −0.602323 0.798252i \(-0.705758\pi\)
−0.0479914 + 0.998848i \(0.515282\pi\)
\(548\) 41.7562 + 61.2451i 1.78374 + 2.61626i
\(549\) −17.9610 13.4030i −0.766558 0.572025i
\(550\) −30.7793 20.9850i −1.31243 0.894803i
\(551\) 13.3011 + 16.6790i 0.566646 + 0.710551i
\(552\) 7.28886 4.36576i 0.310234 0.185819i
\(553\) 3.59338 + 17.5270i 0.152806 + 0.745322i
\(554\) 11.9222 + 17.4867i 0.506527 + 0.742939i
\(555\) −63.6664 13.4596i −2.70249 0.571329i
\(556\) −9.38747 62.2818i −0.398118 2.64134i
\(557\) 25.1387 14.5138i 1.06516 0.614970i 0.138304 0.990390i \(-0.455835\pi\)
0.926855 + 0.375420i \(0.122502\pi\)
\(558\) 13.9545 + 16.3897i 0.590740 + 0.693832i
\(559\) −18.3434 + 14.6284i −0.775844 + 0.618715i
\(560\) 23.6828 21.0164i 1.00078 0.888104i
\(561\) −14.9288 + 7.48697i −0.630293 + 0.316100i
\(562\) −23.0806 3.47884i −0.973596 0.146746i
\(563\) −11.5520 5.56317i −0.486861 0.234460i 0.174316 0.984690i \(-0.444228\pi\)
−0.661177 + 0.750230i \(0.729943\pi\)
\(564\) 15.6514 12.8981i 0.659041 0.543108i
\(565\) −27.8759 22.2303i −1.17275 0.935234i
\(566\) −29.1863 + 36.5984i −1.22679 + 1.53835i
\(567\) 15.6159 + 17.9762i 0.655808 + 0.754928i
\(568\) 30.4302 + 38.1583i 1.27682 + 1.60109i
\(569\) 1.33458i 0.0559486i −0.999609 0.0279743i \(-0.991094\pi\)
0.999609 0.0279743i \(-0.00890566\pi\)
\(570\) −22.9120 + 49.5994i −0.959679 + 2.07749i
\(571\) −20.9491 26.2693i −0.876691 1.09934i −0.994336 0.106280i \(-0.966106\pi\)
0.117645 0.993056i \(-0.462466\pi\)
\(572\) −40.1858 + 37.2870i −1.68025 + 1.55905i
\(573\) −19.6265 23.8160i −0.819909 0.994929i
\(574\) 33.0330 + 3.21366i 1.37877 + 0.134136i
\(575\) −2.90558 6.03350i −0.121171 0.251614i
\(576\) 5.08702 26.1292i 0.211959 1.08871i
\(577\) 14.9766 21.9666i 0.623483 0.914482i −0.376445 0.926439i \(-0.622854\pi\)
0.999929 + 0.0119569i \(0.00380608\pi\)
\(578\) 0.569311 1.84566i 0.0236802 0.0767694i
\(579\) 8.98709 7.40616i 0.373491 0.307789i
\(580\) 50.0315 53.9211i 2.07744 2.23895i
\(581\) 43.4052 12.3413i 1.80075 0.512005i
\(582\) 6.33068 + 19.4112i 0.262415 + 0.804622i
\(583\) 3.78809 16.5967i 0.156886 0.687365i
\(584\) 42.9433 + 6.47266i 1.77701 + 0.267841i
\(585\) −27.3233 52.3659i −1.12968 2.16506i
\(586\) 56.5366 + 4.23683i 2.33550 + 0.175022i
\(587\) 9.56148 + 16.5610i 0.394645 + 0.683545i 0.993056 0.117645i \(-0.0375344\pi\)
−0.598411 + 0.801189i \(0.704201\pi\)
\(588\) 38.0147 28.5939i 1.56770 1.17919i
\(589\) −5.66085 + 9.80488i −0.233251 + 0.404003i
\(590\) 2.34066 3.43311i 0.0963633 0.141339i
\(591\) 8.76993 11.3669i 0.360747 0.467572i
\(592\) −14.4214 36.7452i −0.592717 1.51022i
\(593\) 6.76974 + 6.28140i 0.278000 + 0.257946i 0.806833 0.590780i \(-0.201180\pi\)
−0.528833 + 0.848726i \(0.677370\pi\)
\(594\) 30.2796 + 0.806350i 1.24239 + 0.0330849i
\(595\) −35.6556 + 4.56793i −1.46174 + 0.187267i
\(596\) −1.62092 5.25488i −0.0663953 0.215248i
\(597\) −5.02143 + 13.4244i −0.205513 + 0.549422i
\(598\) −14.5053 + 3.31074i −0.593166 + 0.135386i
\(599\) −3.79969 7.89014i −0.155251 0.322382i 0.808807 0.588075i \(-0.200114\pi\)
−0.964058 + 0.265692i \(0.914400\pi\)
\(600\) 49.7495 + 14.4750i 2.03101 + 0.590939i
\(601\) −18.1034 + 26.5529i −0.738455 + 1.08311i 0.254781 + 0.966999i \(0.417997\pi\)
−0.993236 + 0.116116i \(0.962956\pi\)
\(602\) 4.42684 25.5163i 0.180425 1.03997i
\(603\) −1.01111 3.85487i −0.0411757 0.156982i
\(604\) 44.5951 + 13.7558i 1.81455 + 0.559714i
\(605\) 17.5645 2.64742i 0.714098 0.107633i
\(606\) 39.0289 27.5378i 1.58544 1.11865i
\(607\) −13.1392 + 7.58594i −0.533305 + 0.307904i −0.742361 0.670000i \(-0.766294\pi\)
0.209056 + 0.977904i \(0.432961\pi\)
\(608\) 2.77929 0.418911i 0.112715 0.0169891i
\(609\) 18.7669 17.2005i 0.760474 0.697001i
\(610\) −60.6750 9.14528i −2.45666 0.370282i
\(611\) −16.2072 + 6.36087i −0.655675 + 0.257333i
\(612\) 33.6813 33.3273i 1.36149 1.34718i
\(613\) −1.33515 17.8164i −0.0539263 0.719596i −0.956996 0.290102i \(-0.906311\pi\)
0.903069 0.429495i \(-0.141308\pi\)
\(614\) 0.925195 1.16016i 0.0373378 0.0468201i
\(615\) 13.5069 + 26.9324i 0.544652 + 1.08602i
\(616\) 2.87234 29.5246i 0.115730 1.18958i
\(617\) 3.62309 + 24.0377i 0.145860 + 0.967719i 0.935291 + 0.353880i \(0.115138\pi\)
−0.789431 + 0.613840i \(0.789624\pi\)
\(618\) −41.8095 + 3.80923i −1.68182 + 0.153230i
\(619\) −9.08053 5.24264i −0.364977 0.210720i 0.306285 0.951940i \(-0.400914\pi\)
−0.671262 + 0.741220i \(0.734247\pi\)
\(620\) 36.3386 + 14.2619i 1.45939 + 0.572770i
\(621\) 4.64149 + 2.84714i 0.186257 + 0.114252i
\(622\) −24.4474 + 50.7655i −0.980250 + 2.03551i
\(623\) 9.45761 + 9.17404i 0.378911 + 0.367550i
\(624\) 17.4141 31.3128i 0.697123 1.25352i
\(625\) −5.88724 + 15.0004i −0.235490 + 0.600018i
\(626\) 59.1725 28.4960i 2.36501 1.13893i
\(627\) 4.93979 + 15.1465i 0.197276 + 0.604892i
\(628\) −34.8376 + 72.3411i −1.39017 + 2.88672i
\(629\) −9.97213 + 43.6907i −0.397615 + 1.74206i
\(630\) 60.9234 + 23.2148i 2.42725 + 0.924899i
\(631\) −4.52819 19.8393i −0.180265 0.789790i −0.981503 0.191446i \(-0.938682\pi\)
0.801239 0.598345i \(-0.204175\pi\)
\(632\) −30.8612 7.04387i −1.22759 0.280190i
\(633\) −16.9492 0.996762i −0.673669 0.0396177i
\(634\) −3.14214 + 13.7666i −0.124790 + 0.546743i
\(635\) −16.4446 11.2117i −0.652584 0.444925i
\(636\) 4.38224 + 48.0987i 0.173767 + 1.90724i
\(637\) −38.6372 + 13.2185i −1.53086 + 0.523736i
\(638\) 32.3831i 1.28206i
\(639\) −12.6596 + 28.6028i −0.500804 + 1.13151i
\(640\) −20.0270 64.9259i −0.791636 2.56642i
\(641\) 17.8653 7.01163i 0.705638 0.276943i 0.0147367 0.999891i \(-0.495309\pi\)
0.690902 + 0.722949i \(0.257214\pi\)
\(642\) −67.3786 + 27.7009i −2.65922 + 1.09327i
\(643\) 3.29582 10.6848i 0.129974 0.421367i −0.867071 0.498185i \(-0.834000\pi\)
0.997045 + 0.0768185i \(0.0244762\pi\)
\(644\) 6.32541 8.84940i 0.249256 0.348715i
\(645\) 21.7443 8.93955i 0.856179 0.351994i
\(646\) 33.8999 + 16.3253i 1.33377 + 0.642311i
\(647\) −5.40583 + 5.01588i −0.212525 + 0.197195i −0.779251 0.626712i \(-0.784400\pi\)
0.566726 + 0.823906i \(0.308210\pi\)
\(648\) −40.3866 + 11.9918i −1.58654 + 0.471083i
\(649\) −0.180583 1.19809i −0.00708848 0.0470290i
\(650\) −74.9659 51.1109i −2.94040 2.00473i
\(651\) 12.1361 + 5.93624i 0.475651 + 0.232660i
\(652\) 4.17372 2.84560i 0.163456 0.111442i
\(653\) 20.0462 + 21.6046i 0.784467 + 0.845454i 0.991121 0.132960i \(-0.0424481\pi\)
−0.206654 + 0.978414i \(0.566258\pi\)
\(654\) −18.0510 + 17.2966i −0.705852 + 0.676349i
\(655\) −32.8408 + 56.8819i −1.28320 + 2.22256i
\(656\) −9.13834 + 15.8281i −0.356792 + 0.617982i
\(657\) 9.05360 + 26.3189i 0.353214 + 1.02680i
\(658\) 8.72036 17.1256i 0.339955 0.667626i
\(659\) −1.47196 + 9.76584i −0.0573395 + 0.380423i 0.941694 + 0.336470i \(0.109233\pi\)
−0.999034 + 0.0439527i \(0.986005\pi\)
\(660\) 49.1030 24.6258i 1.91133 0.958559i
\(661\) −10.9269 + 22.6900i −0.425008 + 0.882539i 0.573006 + 0.819551i \(0.305777\pi\)
−0.998014 + 0.0629876i \(0.979937\pi\)
\(662\) −29.2421 + 60.7218i −1.13653 + 2.36002i
\(663\) −36.3604 + 18.2352i −1.41212 + 0.708197i
\(664\) −11.8994 + 78.9475i −0.461787 + 3.06376i
\(665\) −0.760557 + 34.2826i −0.0294931 + 1.32942i
\(666\) 53.3420 61.3263i 2.06696 2.37635i
\(667\) 2.91068 5.04144i 0.112702 0.195205i
\(668\) −27.7567 + 48.0759i −1.07394 + 1.86011i
\(669\) 6.78994 6.50614i 0.262514 0.251542i
\(670\) −7.42181 7.99880i −0.286729 0.309021i
\(671\) −14.7835 + 10.0792i −0.570710 + 0.389104i
\(672\) −0.726297 3.27440i −0.0280175 0.126313i
\(673\) 26.2441 + 17.8929i 1.01163 + 0.689721i 0.951239 0.308454i \(-0.0998114\pi\)
0.0603955 + 0.998175i \(0.480764\pi\)
\(674\) −10.9068 72.3617i −0.420113 2.78727i
\(675\) 6.52456 + 32.5585i 0.251130 + 1.25318i
\(676\) −60.4880 + 56.1247i −2.32646 + 2.15864i
\(677\) −26.4904 12.7571i −1.01811 0.490295i −0.151062 0.988524i \(-0.548269\pi\)
−0.867045 + 0.498230i \(0.833984\pi\)
\(678\) 41.1887 16.9336i 1.58184 0.650331i
\(679\) 8.50568 + 9.58482i 0.326418 + 0.367831i
\(680\) 18.7464 60.7743i 0.718891 2.33059i
\(681\) −25.3586 + 10.4255i −0.971745 + 0.399506i
\(682\) 15.9979 6.27871i 0.612590 0.240424i
\(683\) −4.30178 13.9460i −0.164603 0.533631i 0.835265 0.549847i \(-0.185314\pi\)
−0.999869 + 0.0162166i \(0.994838\pi\)
\(684\) −26.6483 36.5092i −1.01892 1.39597i
\(685\) 63.7646i 2.43632i
\(686\) 22.2142 39.2204i 0.848142 1.49744i
\(687\) −2.61759 28.7302i −0.0998671 1.09612i
\(688\) 11.7833 + 8.03370i 0.449233 + 0.306282i
\(689\) 9.22623 40.4228i 0.351492 1.53999i
\(690\) 14.8831 + 0.875257i 0.566589 + 0.0333205i
\(691\) 37.7080 + 8.60660i 1.43448 + 0.327411i 0.867958 0.496637i \(-0.165432\pi\)
0.566521 + 0.824047i \(0.308289\pi\)
\(692\) 0.846783 + 3.71000i 0.0321899 + 0.141033i
\(693\) 17.6271 7.12104i 0.669598 0.270506i
\(694\) −1.02285 + 4.48139i −0.0388268 + 0.170111i
\(695\) 23.5086 48.8160i 0.891731 1.85170i
\(696\) 13.9652 + 42.8203i 0.529350 + 1.62310i
\(697\) 18.6945 9.00281i 0.708106 0.341006i
\(698\) −0.175002 + 0.445899i −0.00662394 + 0.0168775i
\(699\) −8.76527 + 15.7611i −0.331533 + 0.596139i
\(700\) 65.7965 8.42935i 2.48687 0.318600i
\(701\) −9.90780 + 20.5737i −0.374212 + 0.777060i −0.999996 0.00293710i \(-0.999065\pi\)
0.625783 + 0.779997i \(0.284779\pi\)
\(702\) 73.7487 + 1.96394i 2.78347 + 0.0741242i
\(703\) 39.7948 + 15.6183i 1.50089 + 0.589055i
\(704\) −18.4056 10.6265i −0.693689 0.400502i
\(705\) 17.3745 1.58298i 0.654360 0.0596183i
\(706\) −11.9182 79.0722i −0.448548 2.97592i
\(707\) 15.5618 25.6241i 0.585263 0.963692i
\(708\) 1.54103 + 3.07275i 0.0579154 + 0.115481i
\(709\) 4.78149 5.99580i 0.179573 0.225177i −0.683896 0.729580i \(-0.739716\pi\)
0.863469 + 0.504402i \(0.168287\pi\)
\(710\) 6.40005 + 85.4027i 0.240190 + 3.20511i
\(711\) −5.14709 19.6233i −0.193031 0.735930i
\(712\) −21.7005 + 8.51683i −0.813262 + 0.319182i
\(713\) 3.05492 + 0.460455i 0.114408 + 0.0172442i
\(714\) 16.6590 41.6941i 0.623449 1.56036i
\(715\) −46.6309 + 7.02847i −1.74389 + 0.262850i
\(716\) −11.6133 + 6.70491i −0.434008 + 0.250574i
\(717\) 16.3116 11.5091i 0.609169 0.429814i
\(718\) −46.9938 + 7.08318i −1.75379 + 0.264342i
\(719\) 3.03747 + 0.936937i 0.113279 + 0.0349419i 0.350876 0.936422i \(-0.385884\pi\)
−0.237598 + 0.971364i \(0.576360\pi\)
\(720\) −25.5208 + 25.2526i −0.951105 + 0.941109i
\(721\) −23.1060 + 12.6655i −0.860514 + 0.471686i
\(722\) −5.82997 + 8.55100i −0.216969 + 0.318235i
\(723\) −16.1241 4.69143i −0.599662 0.174476i
\(724\) 32.1509 + 66.7621i 1.19488 + 2.48119i
\(725\) 34.6099 7.89949i 1.28538 0.293380i
\(726\) −7.77292 + 20.7803i −0.288480 + 0.771227i
\(727\) −7.02974 22.7899i −0.260719 0.845229i −0.987399 0.158253i \(-0.949414\pi\)
0.726680 0.686976i \(-0.241062\pi\)
\(728\) 6.99584 71.9098i 0.259283 2.66516i
\(729\) −18.7869 19.3920i −0.695812 0.718224i
\(730\) 55.8625 + 51.8328i 2.06756 + 1.91842i
\(731\) −5.91516 15.0716i −0.218780 0.557442i
\(732\) 31.0091 40.1916i 1.14613 1.48552i
\(733\) 10.3512 15.1825i 0.382331 0.560777i −0.586043 0.810280i \(-0.699315\pi\)
0.968374 + 0.249503i \(0.0802673\pi\)
\(734\) 10.6965 18.5270i 0.394817 0.683842i
\(735\) 40.8752 1.90190i 1.50770 0.0701527i
\(736\) −0.383485 0.664216i −0.0141355 0.0244833i
\(737\) −3.17291 0.237777i −0.116876 0.00875863i
\(738\) −37.5985 1.60577i −1.38402 0.0591094i
\(739\) −19.5965 2.95370i −0.720869 0.108654i −0.221646 0.975127i \(-0.571143\pi\)
−0.499223 + 0.866474i \(0.666381\pi\)
\(740\) 32.7999 143.706i 1.20575 5.28272i
\(741\) 12.0313 + 36.8906i 0.441981 + 1.35521i
\(742\) 21.9983 + 40.1324i 0.807584 + 1.47331i
\(743\) −16.9810 + 18.3012i −0.622973 + 0.671405i −0.963153 0.268955i \(-0.913322\pi\)
0.340180 + 0.940360i \(0.389512\pi\)
\(744\) −18.4464 + 15.2015i −0.676278 + 0.557312i
\(745\) 1.39436 4.52039i 0.0510853 0.165614i
\(746\) 7.70429 11.3001i 0.282074 0.413727i
\(747\) −48.3849 + 16.6442i −1.77031 + 0.608981i
\(748\) −16.4139 34.0838i −0.600152 1.24623i
\(749\) −31.8355 + 32.8196i −1.16324 + 1.19920i
\(750\) 12.5807 + 15.2662i 0.459381 + 0.557442i
\(751\) −13.1409 + 12.1930i −0.479520 + 0.444929i −0.882523 0.470269i \(-0.844157\pi\)
0.403003 + 0.915198i \(0.367966\pi\)
\(752\) 6.59843 + 8.27417i 0.240620 + 0.301728i
\(753\) −0.257997 + 0.558506i −0.00940195 + 0.0203531i
\(754\) 78.8720i 2.87235i
\(755\) 25.0303 + 31.3870i 0.910946 + 1.14229i
\(756\) −41.2814 + 34.7140i −1.50139 + 1.26253i
\(757\) 17.7807 22.2962i 0.646249 0.810371i −0.345520 0.938412i \(-0.612297\pi\)
0.991769 + 0.128041i \(0.0408688\pi\)
\(758\) 54.1752 + 43.2033i 1.96773 + 1.56921i
\(759\) 3.35495 2.76477i 0.121777 0.100355i
\(760\) −54.6618 26.3237i −1.98279 0.954862i
\(761\) 12.0797 + 1.82072i 0.437888 + 0.0660010i 0.364287 0.931287i \(-0.381313\pi\)
0.0736010 + 0.997288i \(0.476551\pi\)
\(762\) 22.2215 11.1444i 0.805001 0.403719i
\(763\) −6.05509 + 14.4755i −0.219209 + 0.524050i
\(764\) 54.6538 43.5849i 1.97730 1.57685i
\(765\) 40.0890 7.36610i 1.44942 0.266322i
\(766\) 21.9553 12.6759i 0.793279 0.458000i
\(767\) −0.439826 2.91805i −0.0158812 0.105365i
\(768\) 52.9566 + 11.1955i 1.91091 + 0.403982i
\(769\) −7.59702 11.1428i −0.273955 0.401819i 0.664462 0.747322i \(-0.268661\pi\)
−0.938418 + 0.345503i \(0.887708\pi\)
\(770\) 33.3488 39.9664i 1.20181 1.44029i
\(771\) 21.6488 12.9668i 0.779662 0.466989i
\(772\) 16.4470 + 20.6239i 0.591940 + 0.742269i
\(773\) −33.8616 23.0864i −1.21792